id	sid	tid	token	lemma	pos
ejpam-6222	1	1	european	european	PROPN
ejpam-6222	1	2	journal	journal	PROPN
ejpam-6222	1	3	of	of	ADP
ejpam-6222	1	4	pure	pure	ADJ
ejpam-6222	1	5	and	and	CCONJ
ejpam-6222	1	6	applied	applied	ADJ
ejpam-6222	1	7	mathematics	mathematic	NOUN
ejpam-6222	1	8	2025	2025	NUM
ejpam-6222	1	9	,	,	PUNCT
ejpam-6222	1	10	vol	vol	NOUN
ejpam-6222	1	11	.	.	PROPN
ejpam-6222	1	12	18	18	NUM
ejpam-6222	1	13	,	,	PUNCT
ejpam-6222	1	14	issue	issue	NOUN
ejpam-6222	1	15	3	3	NUM
ejpam-6222	1	16	,	,	PUNCT
ejpam-6222	1	17	article	article	NOUN
ejpam-6222	1	18	number	number	NOUN
ejpam-6222	1	19	6222	6222	NUM
ejpam-6222	1	20	issn	issn	VERB
ejpam-6222	1	21	1307	1307	NUM
ejpam-6222	1	22	-	-	SYM
ejpam-6222	1	23	5543	5543	NUM
ejpam-6222	1	24	–	–	PUNCT
ejpam-6222	1	25	ejpam.com	ejpam.com	X
ejpam-6222	1	26	published	publish	VERB
ejpam-6222	1	27	by	by	ADP
ejpam-6222	1	28	new	new	PROPN
ejpam-6222	1	29	york	york	PROPN
ejpam-6222	1	30	business	business	PROPN
ejpam-6222	1	31	global	global	ADJ
ejpam-6222	1	32	algebraic	algebraic	ADJ
ejpam-6222	1	33	operations	operation	NOUN
ejpam-6222	1	34	on	on	ADP
ejpam-6222	1	35	complex	complex	ADJ
ejpam-6222	1	36	trigonometric	trigonometric	ADJ
ejpam-6222	1	37	fuzzy	fuzzy	ADJ
ejpam-6222	1	38	sets	set	NOUN
ejpam-6222	1	39	with	with	ADP
ejpam-6222	1	40	reciprocal	reciprocal	ADJ
ejpam-6222	1	41	fractional	fractional	ADJ
ejpam-6222	1	42	floor	floor	NOUN
ejpam-6222	1	43	functions	function	NOUN
ejpam-6222	1	44	murugan	murugan	PROPN
ejpam-6222	1	45	palanikumar1	palanikumar1	PROPN
ejpam-6222	1	46	,	,	PUNCT
ejpam-6222	1	47	nasreen	nasreen	ADP
ejpam-6222	1	48	kausar2	kausar2	PROPN
ejpam-6222	1	49	,	,	PUNCT
ejpam-6222	1	50	brikena	brikena	NOUN
ejpam-6222	1	51	vrioni3,∗	vrioni3,∗	NOUN
ejpam-6222	1	52	,	,	PUNCT
ejpam-6222	1	53	ervin	ervin	PROPN
ejpam-6222	1	54	hoxha4	hoxha4	PROPN
ejpam-6222	1	55	1	1	NUM
ejpam-6222	1	56	department	department	NOUN
ejpam-6222	1	57	of	of	ADP
ejpam-6222	1	58	mathematics	mathematic	NOUN
ejpam-6222	1	59	,	,	PUNCT
ejpam-6222	1	60	saveetha	saveetha	PROPN
ejpam-6222	1	61	school	school	PROPN
ejpam-6222	1	62	of	of	ADP
ejpam-6222	1	63	engineering	engineering	PROPN
ejpam-6222	1	64	,	,	PUNCT
ejpam-6222	1	65	saveetha	saveetha	PROPN
ejpam-6222	1	66	institute	institute	PROPN
ejpam-6222	1	67	of	of	ADP
ejpam-6222	1	68	medical	medical	ADJ
ejpam-6222	1	69	and	and	CCONJ
ejpam-6222	1	70	technical	technical	ADJ
ejpam-6222	1	71	sciences	science	NOUN
ejpam-6222	1	72	,	,	PUNCT
ejpam-6222	1	73	chennai-602105	chennai-602105	ADJ
ejpam-6222	1	74	,	,	PUNCT
ejpam-6222	1	75	india	india	PROPN
ejpam-6222	1	76	2	2	NUM
ejpam-6222	1	77	department	department	NOUN
ejpam-6222	1	78	of	of	ADP
ejpam-6222	1	79	mathematics	mathematic	NOUN
ejpam-6222	1	80	,	,	PUNCT
ejpam-6222	1	81	faculty	faculty	NOUN
ejpam-6222	1	82	of	of	ADP
ejpam-6222	1	83	arts	art	NOUN
ejpam-6222	1	84	and	and	CCONJ
ejpam-6222	1	85	science	science	NOUN
ejpam-6222	1	86	,	,	PUNCT
ejpam-6222	1	87	balikesir	balikesir	PROPN
ejpam-6222	1	88	university	university	PROPN
ejpam-6222	1	89	,	,	PUNCT
ejpam-6222	1	90	10145	10145	NUM
ejpam-6222	1	91	balikesir	balikesir	NOUN
ejpam-6222	1	92	,	,	PUNCT
ejpam-6222	1	93	turkey	turkey	PROPN
ejpam-6222	1	94	3	3	NUM
ejpam-6222	1	95	institute	institute	NOUN
ejpam-6222	1	96	:	:	PUNCT
ejpam-6222	1	97	school	school	NOUN
ejpam-6222	1	98	of	of	ADP
ejpam-6222	1	99	arts	art	NOUN
ejpam-6222	1	100	and	and	CCONJ
ejpam-6222	1	101	sciences	science	NOUN
ejpam-6222	1	102	,	,	PUNCT
ejpam-6222	1	103	american	american	PROPN
ejpam-6222	1	104	international	international	PROPN
ejpam-6222	1	105	university	university	PROPN
ejpam-6222	1	106	,	,	PUNCT
ejpam-6222	1	107	kuwait	kuwait	PROPN
ejpam-6222	1	108	4	4	NUM
ejpam-6222	1	109	school	school	NOUN
ejpam-6222	1	110	of	of	ADP
ejpam-6222	1	111	arts	art	NOUN
ejpam-6222	1	112	and	and	CCONJ
ejpam-6222	1	113	sciences	science	NOUN
ejpam-6222	1	114	,	,	PUNCT
ejpam-6222	1	115	american	american	PROPN
ejpam-6222	1	116	international	international	PROPN
ejpam-6222	1	117	university	university	PROPN
ejpam-6222	1	118	,	,	PUNCT
ejpam-6222	1	119	kuwait	kuwait	PROPN
ejpam-6222	1	120	abstract	abstract	PROPN
ejpam-6222	1	121	.	.	PUNCT
ejpam-6222	2	1	a	a	DET
ejpam-6222	2	2	set	set	NOUN
ejpam-6222	2	3	with	with	ADP
ejpam-6222	2	4	membership	membership	NOUN
ejpam-6222	2	5	values	value	NOUN
ejpam-6222	2	6	that	that	PRON
ejpam-6222	2	7	are	be	AUX
ejpam-6222	2	8	vectors	vector	NOUN
ejpam-6222	2	9	in	in	ADP
ejpam-6222	2	10	the	the	DET
ejpam-6222	2	11	complex	complex	ADJ
ejpam-6222	2	12	plane	plane	NOUN
ejpam-6222	2	13	’s	’s	PART
ejpam-6222	2	14	unit	unit	NOUN
ejpam-6222	2	15	circle	circle	NOUN
ejpam-6222	2	16	is	be	AUX
ejpam-6222	2	17	called	call	VERB
ejpam-6222	2	18	a	a	DET
ejpam-6222	2	19	complex	complex	ADJ
ejpam-6222	2	20	fuzzy	fuzzy	ADJ
ejpam-6222	2	21	set	set	NOUN
ejpam-6222	2	22	.	.	PUNCT
ejpam-6222	3	1	the	the	DET
ejpam-6222	3	2	capacity	capacity	NOUN
ejpam-6222	3	3	of	of	ADP
ejpam-6222	3	4	the	the	DET
ejpam-6222	3	5	complex	complex	ADJ
ejpam-6222	3	6	fuzzy	fuzzy	ADJ
ejpam-6222	3	7	set	set	NOUN
ejpam-6222	3	8	to	to	PART
ejpam-6222	3	9	explain	explain	VERB
ejpam-6222	3	10	both	both	PRON
ejpam-6222	3	11	contentment	contentment	NOUN
ejpam-6222	3	12	and	and	CCONJ
ejpam-6222	3	13	discontent	discontent	NOUN
ejpam-6222	3	14	,	,	PUNCT
ejpam-6222	3	15	as	as	ADV
ejpam-6222	3	16	well	well	ADV
ejpam-6222	3	17	as	as	ADP
ejpam-6222	3	18	the	the	DET
ejpam-6222	3	19	lack	lack	NOUN
ejpam-6222	3	20	of	of	ADP
ejpam-6222	3	21	confusing	confuse	VERB
ejpam-6222	3	22	information	information	NOUN
ejpam-6222	3	23	in	in	ADP
ejpam-6222	3	24	two	two	NUM
ejpam-6222	3	25	-	-	PUNCT
ejpam-6222	3	26	dimensional	dimensional	ADJ
ejpam-6222	3	27	situations	situation	NOUN
ejpam-6222	3	28	,	,	PUNCT
ejpam-6222	3	29	are	be	AUX
ejpam-6222	3	30	some	some	PRON
ejpam-6222	3	31	of	of	ADP
ejpam-6222	3	32	its	its	PRON
ejpam-6222	3	33	noteworthy	noteworthy	ADJ
ejpam-6222	3	34	benefits	benefit	NOUN
ejpam-6222	3	35	.	.	PUNCT
ejpam-6222	4	1	for	for	SCONJ
ejpam-6222	4	2	this	this	DET
ejpam-6222	4	3	study	study	NOUN
ejpam-6222	4	4	to	to	PART
ejpam-6222	4	5	offer	offer	VERB
ejpam-6222	4	6	a	a	DET
ejpam-6222	4	7	strong	strong	ADJ
ejpam-6222	4	8	and	and	CCONJ
ejpam-6222	4	9	adaptable	adaptable	ADJ
ejpam-6222	4	10	tool	tool	NOUN
ejpam-6222	4	11	for	for	ADP
ejpam-6222	4	12	complexity	complexity	NOUN
ejpam-6222	4	13	and	and	CCONJ
ejpam-6222	4	14	uncertain	uncertain	ADJ
ejpam-6222	4	15	circumstances	circumstance	NOUN
ejpam-6222	4	16	,	,	PUNCT
ejpam-6222	4	17	a	a	DET
ejpam-6222	4	18	fuzzy	fuzzy	ADJ
ejpam-6222	4	19	set	set	NOUN
ejpam-6222	4	20	and	and	CCONJ
ejpam-6222	4	21	a	a	DET
ejpam-6222	4	22	complex	complex	ADJ
ejpam-6222	4	23	fuzzy	fuzzy	ADJ
ejpam-6222	4	24	set	set	NOUN
ejpam-6222	4	25	must	must	AUX
ejpam-6222	4	26	be	be	AUX
ejpam-6222	4	27	combined	combine	VERB
ejpam-6222	4	28	.	.	PUNCT
ejpam-6222	5	1	a	a	DET
ejpam-6222	5	2	novel	novel	ADJ
ejpam-6222	5	3	approach	approach	NOUN
ejpam-6222	5	4	to	to	ADP
ejpam-6222	5	5	generating	generate	VERB
ejpam-6222	5	6	complex	complex	ADJ
ejpam-6222	5	7	sine	sine	ADJ
ejpam-6222	5	8	trigonometric	trigonometric	ADJ
ejpam-6222	5	9	reciprocal	reciprocal	ADJ
ejpam-6222	5	10	fractional	fractional	ADJ
ejpam-6222	5	11	floor	floor	NOUN
ejpam-6222	5	12	functions	function	NOUN
ejpam-6222	5	13	from	from	ADP
ejpam-6222	5	14	fuzzy	fuzzy	ADJ
ejpam-6222	5	15	sets	set	NOUN
ejpam-6222	5	16	is	be	AUX
ejpam-6222	5	17	presented	present	VERB
ejpam-6222	5	18	in	in	ADP
ejpam-6222	5	19	this	this	DET
ejpam-6222	5	20	work	work	NOUN
ejpam-6222	5	21	.	.	PUNCT
ejpam-6222	6	1	this	this	DET
ejpam-6222	6	2	work	work	NOUN
ejpam-6222	6	3	explores	explore	VERB
ejpam-6222	6	4	the	the	DET
ejpam-6222	6	5	usage	usage	NOUN
ejpam-6222	6	6	of	of	ADP
ejpam-6222	6	7	fuzzy	fuzzy	ADJ
ejpam-6222	6	8	sets	set	NOUN
ejpam-6222	6	9	in	in	ADP
ejpam-6222	6	10	averaging	averaging	NOUN
ejpam-6222	6	11	,	,	PUNCT
ejpam-6222	6	12	geometric	geometric	ADJ
ejpam-6222	6	13	,	,	PUNCT
ejpam-6222	6	14	generalized	generalized	ADJ
ejpam-6222	6	15	weighted	weight	VERB
ejpam-6222	6	16	averaging	averaging	NOUN
ejpam-6222	6	17	and	and	CCONJ
ejpam-6222	6	18	generalized	generalized	ADJ
ejpam-6222	6	19	weighted	weight	VERB
ejpam-6222	6	20	geometric	geometric	ADJ
ejpam-6222	6	21	.	.	PUNCT
ejpam-6222	7	1	an	an	DET
ejpam-6222	7	2	aggregating	aggregating	NOUN
ejpam-6222	7	3	model	model	NOUN
ejpam-6222	7	4	is	be	AUX
ejpam-6222	7	5	used	use	VERB
ejpam-6222	7	6	to	to	PART
ejpam-6222	7	7	determine	determine	VERB
ejpam-6222	7	8	the	the	DET
ejpam-6222	7	9	weighted	weighted	ADJ
ejpam-6222	7	10	average	average	ADJ
ejpam-6222	7	11	and	and	CCONJ
ejpam-6222	7	12	geometric	geometric	ADJ
ejpam-6222	7	13	.	.	PUNCT
ejpam-6222	8	1	some	some	DET
ejpam-6222	8	2	sets	set	NOUN
ejpam-6222	8	3	with	with	ADP
ejpam-6222	8	4	important	important	ADJ
ejpam-6222	8	5	properties	property	NOUN
ejpam-6222	8	6	will	will	AUX
ejpam-6222	8	7	be	be	AUX
ejpam-6222	8	8	further	far	ADV
ejpam-6222	8	9	analyzed	analyze	VERB
ejpam-6222	8	10	using	use	VERB
ejpam-6222	8	11	algebraic	algebraic	ADJ
ejpam-6222	8	12	approaches	approach	NOUN
ejpam-6222	8	13	.	.	PUNCT
ejpam-6222	9	1	2020	2020	NUM
ejpam-6222	9	2	mathematics	mathematic	NOUN
ejpam-6222	9	3	subject	subject	NOUN
ejpam-6222	9	4	classifications	classification	NOUN
ejpam-6222	9	5	:	:	PUNCT
ejpam-6222	9	6	08a72	08a72	NUM
ejpam-6222	9	7	,	,	PUNCT
ejpam-6222	9	8	94d05	94d05	NUM
ejpam-6222	9	9	,	,	PUNCT
ejpam-6222	9	10	03b52	03b52	VERB
ejpam-6222	9	11	key	key	ADJ
ejpam-6222	9	12	words	word	NOUN
ejpam-6222	9	13	and	and	CCONJ
ejpam-6222	9	14	phrases	phrase	NOUN
ejpam-6222	9	15	:	:	PUNCT
ejpam-6222	9	16	reciprocal	reciprocal	ADJ
ejpam-6222	9	17	fractional	fractional	ADJ
ejpam-6222	9	18	floor	floor	NOUN
ejpam-6222	9	19	functions	function	NOUN
ejpam-6222	9	20	,	,	PUNCT
ejpam-6222	9	21	averaging	averaging	NOUN
ejpam-6222	9	22	,	,	PUNCT
ejpam-6222	9	23	geometric	geometric	ADJ
ejpam-6222	9	24	,	,	PUNCT
ejpam-6222	9	25	generalized	generalized	ADJ
ejpam-6222	9	26	weighted	weight	VERB
ejpam-6222	9	27	averaging	averaging	NOUN
ejpam-6222	9	28	and	and	CCONJ
ejpam-6222	9	29	generalized	generalize	VERB
ejpam-6222	9	30	weighted	weight	VERB
ejpam-6222	9	31	geometric	geometric	ADJ
ejpam-6222	9	32	1	1	NUM
ejpam-6222	9	33	.	.	PUNCT
ejpam-6222	9	34	introduction	introduction	NOUN
ejpam-6222	9	35	aggregation	aggregation	NOUN
ejpam-6222	9	36	functions	function	NOUN
ejpam-6222	9	37	in	in	ADP
ejpam-6222	9	38	fuzzy	fuzzy	ADJ
ejpam-6222	9	39	systems	system	NOUN
ejpam-6222	9	40	have	have	VERB
ejpam-6222	9	41	applications	application	NOUN
ejpam-6222	9	42	in	in	ADP
ejpam-6222	9	43	many	many	ADJ
ejpam-6222	9	44	different	different	ADJ
ejpam-6222	9	45	fields	field	NOUN
ejpam-6222	9	46	due	due	ADP
ejpam-6222	9	47	to	to	ADP
ejpam-6222	9	48	their	their	PRON
ejpam-6222	9	49	capacity	capacity	NOUN
ejpam-6222	9	50	to	to	PART
ejpam-6222	9	51	combine	combine	VERB
ejpam-6222	9	52	data	datum	NOUN
ejpam-6222	9	53	from	from	ADP
ejpam-6222	9	54	several	several	ADJ
ejpam-6222	9	55	sources	source	NOUN
ejpam-6222	9	56	or	or	CCONJ
ejpam-6222	9	57	criteria	criterion	NOUN
ejpam-6222	9	58	,	,	PUNCT
ejpam-6222	9	59	which	which	PRON
ejpam-6222	9	60	is	be	AUX
ejpam-6222	9	61	essential	essential	ADJ
ejpam-6222	9	62	for	for	ADP
ejpam-6222	9	63	uncertainty	uncertainty	NOUN
ejpam-6222	9	64	modeling	modeling	NOUN
ejpam-6222	9	65	and	and	CCONJ
ejpam-6222	9	66	decision	decision	NOUN
ejpam-6222	9	67	-	-	PUNCT
ejpam-6222	9	68	making	making	NOUN
ejpam-6222	9	69	.	.	PUNCT
ejpam-6222	10	1	data	datum	NOUN
ejpam-6222	10	2	analysis	analysis	NOUN
ejpam-6222	10	3	,	,	PUNCT
ejpam-6222	10	4	fuzzy	fuzzy	ADJ
ejpam-6222	10	5	control	control	NOUN
ejpam-6222	10	6	,	,	PUNCT
ejpam-6222	10	7	and	and	CCONJ
ejpam-6222	10	8	decision	decision	NOUN
ejpam-6222	10	9	support	support	NOUN
ejpam-6222	10	10	are	be	AUX
ejpam-6222	10	11	just	just	ADV
ejpam-6222	10	12	a	a	DET
ejpam-6222	10	13	few	few	ADJ
ejpam-6222	10	14	of	of	ADP
ejpam-6222	10	15	the	the	DET
ejpam-6222	10	16	fields	field	NOUN
ejpam-6222	10	17	in	in	ADP
ejpam-6222	10	18	which	which	PRON
ejpam-6222	10	19	fuzzy	fuzzy	ADJ
ejpam-6222	10	20	aggregation	aggregation	NOUN
ejpam-6222	10	21	functions	function	NOUN
ejpam-6222	10	22	find	find	VERB
ejpam-6222	10	23	use	use	NOUN
ejpam-6222	10	24	.	.	PUNCT
ejpam-6222	11	1	these	these	DET
ejpam-6222	11	2	routines	routine	NOUN
ejpam-6222	11	3	create	create	VERB
ejpam-6222	11	4	a	a	DET
ejpam-6222	11	5	single	single	ADJ
ejpam-6222	11	6	,	,	PUNCT
ejpam-6222	11	7	representative	representative	ADJ
ejpam-6222	11	8	value	value	NOUN
ejpam-6222	11	9	by	by	ADP
ejpam-6222	11	10	combining	combine	VERB
ejpam-6222	11	11	many	many	ADJ
ejpam-6222	11	12	pieces	piece	NOUN
ejpam-6222	11	13	of	of	ADP
ejpam-6222	11	14	ambiguous	ambiguous	ADJ
ejpam-6222	11	15	data	datum	NOUN
ejpam-6222	11	16	.	.	PUNCT
ejpam-6222	12	1	they	they	PRON
ejpam-6222	12	2	allow	allow	VERB
ejpam-6222	12	3	for	for	ADP
ejpam-6222	12	4	more	more	ADV
ejpam-6222	12	5	sophisticated	sophisticated	ADJ
ejpam-6222	12	6	reasoning	reasoning	NOUN
ejpam-6222	12	7	than	than	ADP
ejpam-6222	12	8	traditional	traditional	ADJ
ejpam-6222	12	9	methods	method	NOUN
ejpam-6222	12	10	and	and	CCONJ
ejpam-6222	12	11	are	be	AUX
ejpam-6222	12	12	particularly	particularly	ADV
ejpam-6222	12	13	∗corresponding	∗corresponde	VERB
ejpam-6222	12	14	author	author	NOUN
ejpam-6222	12	15	.	.	PUNCT
ejpam-6222	13	1	doi	doi	NOUN
ejpam-6222	13	2	:	:	PUNCT
ejpam-6222	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6222	https://doi.org/10.29020/nybg.ejpam.v18i3.6222	NOUN
ejpam-6222	13	4	email	email	NOUN
ejpam-6222	13	5	addresses	address	NOUN
ejpam-6222	13	6	:	:	PUNCT
ejpam-6222	14	1	palanimaths86@gmail.com	palanimaths86@gmail.com	X
ejpam-6222	14	2	(	(	PUNCT
ejpam-6222	14	3	m.	m.	NOUN
ejpam-6222	14	4	palanikumar	palanikumar	PROPN
ejpam-6222	14	5	)	)	PUNCT
ejpam-6222	14	6	,	,	PUNCT
ejpam-6222	14	7	nasreen.kausar@balikesir.edu.tr	nasreen.kausar@balikesir.edu.tr	PROPN
ejpam-6222	14	8	(	(	PUNCT
ejpam-6222	14	9	n.	n.	PROPN
ejpam-6222	14	10	kausar	kausar	PROPN
ejpam-6222	14	11	)	)	PUNCT
ejpam-6222	14	12	,	,	PUNCT
ejpam-6222	14	13	brikena.vrioni@yahoo.com	brikena.vrioni@yahoo.com	NUM
ejpam-6222	14	14	(	(	PUNCT
ejpam-6222	14	15	b.	b.	PROPN
ejpam-6222	14	16	vrioni	vrioni	PROPN
ejpam-6222	14	17	)	)	PUNCT
ejpam-6222	14	18	,	,	PUNCT
ejpam-6222	14	19	ervin.hoxha1990@gmail.com	ervin.hoxha1990@gmail.com	PROPN
ejpam-6222	14	20	(	(	PUNCT
ejpam-6222	14	21	e.	e.	PROPN
ejpam-6222	14	22	hoxha	hoxha	PROPN
ejpam-6222	14	23	)	)	PUNCT
ejpam-6222	14	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6222	15	1	1	1	NUM
ejpam-6222	15	2	copyright	copyright	NOUN
ejpam-6222	15	3	:	:	PUNCT
ejpam-6222	15	4	©	©	PROPN
ejpam-6222	15	5	2025	2025	NUM
ejpam-6222	15	6	the	the	DET
ejpam-6222	15	7	author(s	author(s	NOUN
ejpam-6222	15	8	)	)	PUNCT
ejpam-6222	15	9	.	.	PUNCT
ejpam-6222	16	1	(	(	PUNCT
ejpam-6222	16	2	cc	cc	NOUN
ejpam-6222	16	3	by	by	ADP
ejpam-6222	16	4	-	-	PUNCT
ejpam-6222	16	5	nc	nc	PROPN
ejpam-6222	16	6	4.0	4.0	NUM
ejpam-6222	16	7	)	)	PUNCT
ejpam-6222	16	8	m.	m.	NOUN
ejpam-6222	16	9	palanikumar	palanikumar	PROPN
ejpam-6222	16	10	et	et	PROPN
ejpam-6222	16	11	al	al	PROPN
ejpam-6222	16	12	.	.	PUNCT
ejpam-6222	16	13	/	/	SYM
ejpam-6222	16	14	eur	eur	PROPN
ejpam-6222	16	15	.	.	PUNCT
ejpam-6222	17	1	j.	j.	PROPN
ejpam-6222	17	2	pure	pure	PROPN
ejpam-6222	17	3	appl	appl	PROPN
ejpam-6222	17	4	.	.	PROPN
ejpam-6222	17	5	math	math	PROPN
ejpam-6222	17	6	,	,	PUNCT
ejpam-6222	17	7	18	18	NUM
ejpam-6222	17	8	(	(	PUNCT
ejpam-6222	17	9	3	3	NUM
ejpam-6222	17	10	)	)	PUNCT
ejpam-6222	17	11	(	(	PUNCT
ejpam-6222	17	12	2025	2025	NUM
ejpam-6222	17	13	)	)	PUNCT
ejpam-6222	17	14	,	,	PUNCT
ejpam-6222	17	15	6222	6222	NUM
ejpam-6222	17	16	2	2	NUM
ejpam-6222	17	17	of	of	ADP
ejpam-6222	17	18	14	14	NUM
ejpam-6222	17	19	useful	useful	ADJ
ejpam-6222	17	20	when	when	SCONJ
ejpam-6222	17	21	dealing	deal	VERB
ejpam-6222	17	22	with	with	ADP
ejpam-6222	17	23	ambiguous	ambiguous	ADJ
ejpam-6222	17	24	or	or	CCONJ
ejpam-6222	17	25	missing	missing	ADJ
ejpam-6222	17	26	data	datum	NOUN
ejpam-6222	17	27	.	.	PUNCT
ejpam-6222	18	1	in	in	ADP
ejpam-6222	18	2	this	this	DET
ejpam-6222	18	3	demanding	demand	VERB
ejpam-6222	18	4	technological	technological	ADJ
ejpam-6222	18	5	age	age	NOUN
ejpam-6222	18	6	,	,	PUNCT
ejpam-6222	18	7	the	the	DET
ejpam-6222	18	8	majority	majority	NOUN
ejpam-6222	18	9	of	of	ADP
ejpam-6222	18	10	information	information	NOUN
ejpam-6222	18	11	qualities	quality	NOUN
ejpam-6222	18	12	are	be	AUX
ejpam-6222	18	13	ambiguous	ambiguous	ADJ
ejpam-6222	18	14	.	.	PUNCT
ejpam-6222	19	1	classical	classical	ADJ
ejpam-6222	19	2	set	set	NOUN
ejpam-6222	19	3	theory	theory	NOUN
ejpam-6222	19	4	is	be	AUX
ejpam-6222	19	5	unable	unable	ADJ
ejpam-6222	19	6	to	to	PART
ejpam-6222	19	7	handle	handle	VERB
ejpam-6222	19	8	these	these	DET
ejpam-6222	19	9	ambiguous	ambiguous	ADJ
ejpam-6222	19	10	and	and	CCONJ
ejpam-6222	19	11	unclear	unclear	ADJ
ejpam-6222	19	12	data	datum	NOUN
ejpam-6222	19	13	.	.	PUNCT
ejpam-6222	20	1	zadeh	zadeh	NOUN
ejpam-6222	21	1	[	[	X
ejpam-6222	21	2	1	1	X
ejpam-6222	21	3	]	]	PUNCT
ejpam-6222	21	4	introduced	introduce	VERB
ejpam-6222	21	5	fuzzy	fuzzy	ADJ
ejpam-6222	21	6	set	set	NOUN
ejpam-6222	21	7	(	(	PUNCT
ejpam-6222	21	8	fs	fs	NOUN
ejpam-6222	21	9	)	)	PUNCT
ejpam-6222	21	10	theory	theory	NOUN
ejpam-6222	21	11	as	as	ADP
ejpam-6222	21	12	a	a	DET
ejpam-6222	21	13	solution	solution	NOUN
ejpam-6222	21	14	to	to	ADP
ejpam-6222	21	15	this	this	DET
ejpam-6222	21	16	shortcoming	shortcoming	NOUN
ejpam-6222	21	17	of	of	ADP
ejpam-6222	21	18	traditional	traditional	ADJ
ejpam-6222	21	19	set	set	NOUN
ejpam-6222	21	20	theory	theory	NOUN
ejpam-6222	21	21	.	.	PUNCT
ejpam-6222	22	1	in	in	ADP
ejpam-6222	22	2	this	this	DET
ejpam-6222	22	3	competitive	competitive	ADJ
ejpam-6222	22	4	setting	setting	NOUN
ejpam-6222	22	5	,	,	PUNCT
ejpam-6222	22	6	inaccurate	inaccurate	ADJ
ejpam-6222	22	7	information	information	NOUN
ejpam-6222	22	8	makes	make	VERB
ejpam-6222	22	9	decision	decision	NOUN
ejpam-6222	22	10	-	-	PUNCT
ejpam-6222	22	11	making	making	NOUN
ejpam-6222	22	12	(	(	PUNCT
ejpam-6222	22	13	dm	dm	NOUN
ejpam-6222	22	14	)	)	PUNCT
ejpam-6222	22	15	more	more	ADV
ejpam-6222	22	16	challenging	challenging	ADJ
ejpam-6222	22	17	.	.	PUNCT
ejpam-6222	23	1	traditionally	traditionally	ADV
ejpam-6222	23	2	,	,	PUNCT
ejpam-6222	23	3	there	there	PRON
ejpam-6222	23	4	is	be	VERB
ejpam-6222	23	5	a	a	DET
ejpam-6222	23	6	wealth	wealth	NOUN
ejpam-6222	23	7	of	of	ADP
ejpam-6222	23	8	knowledge	knowledge	NOUN
ejpam-6222	23	9	on	on	ADP
ejpam-6222	23	10	real	real	ADJ
ejpam-6222	23	11	-	-	PUNCT
ejpam-6222	23	12	world	world	NOUN
ejpam-6222	23	13	issues	issue	NOUN
ejpam-6222	23	14	.	.	PUNCT
ejpam-6222	24	1	uncertain	uncertain	ADJ
ejpam-6222	24	2	and	and	CCONJ
ejpam-6222	24	3	imprecise	imprecise	ADJ
ejpam-6222	24	4	information	information	NOUN
ejpam-6222	24	5	is	be	AUX
ejpam-6222	24	6	making	make	VERB
ejpam-6222	24	7	it	it	PRON
ejpam-6222	24	8	harder	hard	ADJ
ejpam-6222	24	9	for	for	ADP
ejpam-6222	24	10	a	a	DET
ejpam-6222	24	11	single	single	ADJ
ejpam-6222	24	12	decision	decision	NOUN
ejpam-6222	24	13	-	-	PUNCT
ejpam-6222	24	14	maker	maker	NOUN
ejpam-6222	24	15	to	to	PART
ejpam-6222	24	16	make	make	VERB
ejpam-6222	24	17	appropriate	appropriate	ADJ
ejpam-6222	24	18	judgments	judgment	NOUN
ejpam-6222	24	19	,	,	PUNCT
ejpam-6222	24	20	which	which	PRON
ejpam-6222	24	21	is	be	AUX
ejpam-6222	24	22	why	why	SCONJ
ejpam-6222	24	23	it	it	PRON
ejpam-6222	24	24	is	be	AUX
ejpam-6222	24	25	getting	get	VERB
ejpam-6222	24	26	more	more	ADV
ejpam-6222	24	27	complicated	complicated	ADJ
ejpam-6222	24	28	[	[	X
ejpam-6222	24	29	2	2	NUM
ejpam-6222	24	30	]	]	PUNCT
ejpam-6222	24	31	.	.	PUNCT
ejpam-6222	25	1	this	this	DET
ejpam-6222	25	2	innovative	innovative	ADJ
ejpam-6222	25	3	concept	concept	NOUN
ejpam-6222	25	4	marked	mark	VERB
ejpam-6222	25	5	a	a	DET
ejpam-6222	25	6	sea	sea	NOUN
ejpam-6222	25	7	change	change	NOUN
ejpam-6222	25	8	in	in	ADP
ejpam-6222	25	9	a	a	DET
ejpam-6222	25	10	number	number	NOUN
ejpam-6222	25	11	of	of	ADP
ejpam-6222	25	12	domains	domain	NOUN
ejpam-6222	25	13	,	,	PUNCT
ejpam-6222	25	14	including	include	VERB
ejpam-6222	25	15	image	image	NOUN
ejpam-6222	25	16	processing	processing	NOUN
ejpam-6222	25	17	,	,	PUNCT
ejpam-6222	25	18	industrial	industrial	ADJ
ejpam-6222	25	19	control	control	NOUN
ejpam-6222	25	20	and	and	CCONJ
ejpam-6222	25	21	human	human	ADJ
ejpam-6222	25	22	dm	dm	PROPN
ejpam-6222	25	23	.	.	PUNCT
ejpam-6222	26	1	numerous	numerous	ADJ
ejpam-6222	26	2	complications	complication	NOUN
ejpam-6222	26	3	were	be	AUX
ejpam-6222	26	4	added	add	VERB
ejpam-6222	26	5	throughout	throughout	ADP
ejpam-6222	26	6	time	time	NOUN
ejpam-6222	26	7	,	,	PUNCT
ejpam-6222	26	8	and	and	CCONJ
ejpam-6222	26	9	academics	academic	NOUN
ejpam-6222	26	10	came	come	VERB
ejpam-6222	26	11	up	up	ADP
ejpam-6222	26	12	with	with	ADP
ejpam-6222	26	13	a	a	DET
ejpam-6222	26	14	number	number	NOUN
ejpam-6222	26	15	of	of	ADP
ejpam-6222	26	16	other	other	ADJ
ejpam-6222	26	17	generalizations	generalization	NOUN
ejpam-6222	26	18	of	of	ADP
ejpam-6222	26	19	fss	fss	NOUN
ejpam-6222	26	20	and	and	CCONJ
ejpam-6222	26	21	ifss	ifss	ADJ
ejpam-6222	26	22	.	.	PUNCT
ejpam-6222	27	1	the	the	DET
ejpam-6222	27	2	inability	inability	NOUN
ejpam-6222	27	3	of	of	ADP
ejpam-6222	27	4	fss	fss	NOUN
ejpam-6222	27	5	and	and	CCONJ
ejpam-6222	27	6	ifss	ifss	VERB
ejpam-6222	27	7	to	to	PART
ejpam-6222	27	8	handle	handle	VERB
ejpam-6222	27	9	the	the	DET
ejpam-6222	27	10	periodicity	periodicity	NOUN
ejpam-6222	27	11	included	include	VERB
ejpam-6222	27	12	in	in	ADP
ejpam-6222	27	13	some	some	DET
ejpam-6222	27	14	ambiguous	ambiguous	ADJ
ejpam-6222	27	15	,	,	PUNCT
ejpam-6222	27	16	imprecise	imprecise	ADV
ejpam-6222	27	17	,	,	PUNCT
ejpam-6222	27	18	and	and	CCONJ
ejpam-6222	27	19	partial	partial	ADJ
ejpam-6222	27	20	data	datum	NOUN
ejpam-6222	27	21	is	be	AUX
ejpam-6222	27	22	one	one	NUM
ejpam-6222	27	23	of	of	ADP
ejpam-6222	27	24	the	the	DET
ejpam-6222	27	25	main	main	ADJ
ejpam-6222	27	26	drawbacks	drawback	NOUN
ejpam-6222	27	27	of	of	ADP
ejpam-6222	27	28	their	their	PRON
ejpam-6222	27	29	use	use	NOUN
ejpam-6222	27	30	.	.	PUNCT
ejpam-6222	28	1	moreover	moreover	ADV
ejpam-6222	28	2	,	,	PUNCT
ejpam-6222	28	3	fss	fss	ADJ
ejpam-6222	28	4	and	and	CCONJ
ejpam-6222	28	5	ifss	ifss	NOUN
ejpam-6222	28	6	are	be	AUX
ejpam-6222	28	7	unable	unable	ADJ
ejpam-6222	28	8	to	to	PART
ejpam-6222	28	9	handle	handle	VERB
ejpam-6222	28	10	a	a	DET
ejpam-6222	28	11	number	number	NOUN
ejpam-6222	28	12	of	of	ADP
ejpam-6222	28	13	additional	additional	ADJ
ejpam-6222	28	14	issues	issue	NOUN
ejpam-6222	28	15	with	with	ADP
ejpam-6222	28	16	a	a	DET
ejpam-6222	28	17	two	two	NUM
ejpam-6222	28	18	-	-	PUNCT
ejpam-6222	28	19	dimensional	dimensional	ADJ
ejpam-6222	28	20	framework	framework	NOUN
ejpam-6222	28	21	.	.	PUNCT
ejpam-6222	29	1	in	in	ADP
ejpam-6222	29	2	order	order	NOUN
ejpam-6222	29	3	to	to	PART
ejpam-6222	29	4	address	address	VERB
ejpam-6222	29	5	this	this	DET
ejpam-6222	29	6	shortcoming	shortcoming	NOUN
ejpam-6222	29	7	,	,	PUNCT
ejpam-6222	29	8	ramot	ramot	NOUN
ejpam-6222	29	9	et	et	PROPN
ejpam-6222	29	10	al	al	PROPN
ejpam-6222	29	11	.	.	PUNCT
ejpam-6222	30	1	[	[	X
ejpam-6222	30	2	2	2	NUM
ejpam-6222	30	3	]	]	PUNCT
ejpam-6222	30	4	expanded	expand	VERB
ejpam-6222	30	5	the	the	DET
ejpam-6222	30	6	fs	fs	ADJ
ejpam-6222	30	7	structure	structure	NOUN
ejpam-6222	30	8	to	to	ADP
ejpam-6222	30	9	a	a	DET
ejpam-6222	30	10	complex	complex	ADJ
ejpam-6222	30	11	fuzzy	fuzzy	ADJ
ejpam-6222	30	12	set	set	NOUN
ejpam-6222	30	13	(	(	PUNCT
ejpam-6222	30	14	cfs	cfs	PROPN
ejpam-6222	30	15	)	)	PUNCT
ejpam-6222	30	16	,	,	PUNCT
ejpam-6222	30	17	adding	add	VERB
ejpam-6222	30	18	a	a	DET
ejpam-6222	30	19	phase	phase	NOUN
ejpam-6222	30	20	variable	variable	NOUN
ejpam-6222	30	21	and	and	CCONJ
ejpam-6222	30	22	expanding	expand	VERB
ejpam-6222	30	23	the	the	DET
ejpam-6222	30	24	range	range	NOUN
ejpam-6222	30	25	from	from	ADP
ejpam-6222	30	26	[	[	X
ejpam-6222	30	27	0,1	0,1	NUM
ejpam-6222	30	28	]	]	PUNCT
ejpam-6222	30	29	to	to	ADP
ejpam-6222	30	30	the	the	DET
ejpam-6222	30	31	unit	unit	NOUN
ejpam-6222	30	32	circle	circle	NOUN
ejpam-6222	30	33	in	in	ADP
ejpam-6222	30	34	the	the	DET
ejpam-6222	30	35	complex	complex	ADJ
ejpam-6222	30	36	plane	plane	NOUN
ejpam-6222	30	37	,	,	PUNCT
ejpam-6222	30	38	making	make	VERB
ejpam-6222	30	39	the	the	DET
ejpam-6222	30	40	information	information	NOUN
ejpam-6222	30	41	more	more	ADV
ejpam-6222	30	42	widely	widely	ADV
ejpam-6222	30	43	applicable	applicable	ADJ
ejpam-6222	30	44	.	.	PUNCT
ejpam-6222	31	1	later	later	ADV
ejpam-6222	31	2	,	,	PUNCT
ejpam-6222	31	3	ramot	ramot	NOUN
ejpam-6222	31	4	et	et	PROPN
ejpam-6222	31	5	al	al	PROPN
ejpam-6222	31	6	.	.	PUNCT
ejpam-6222	32	1	[	[	X
ejpam-6222	32	2	3	3	NUM
ejpam-6222	32	3	,	,	PUNCT
ejpam-6222	32	4	4	4	NUM
ejpam-6222	32	5	]	]	PUNCT
ejpam-6222	32	6	generalized	generalize	VERB
ejpam-6222	32	7	the	the	DET
ejpam-6222	32	8	usual	usual	ADJ
ejpam-6222	32	9	fs	f	NOUN
ejpam-6222	32	10	to	to	ADP
ejpam-6222	32	11	cfs	cfs	PROPN
ejpam-6222	32	12	.	.	PUNCT
ejpam-6222	33	1	in	in	ADP
ejpam-6222	33	2	this	this	DET
ejpam-6222	33	3	extension	extension	NOUN
ejpam-6222	33	4	,	,	PUNCT
ejpam-6222	33	5	the	the	DET
ejpam-6222	33	6	range	range	NOUN
ejpam-6222	33	7	encompasses	encompass	VERB
ejpam-6222	33	8	a	a	DET
ejpam-6222	33	9	unit	unit	NOUN
ejpam-6222	33	10	circle	circle	NOUN
ejpam-6222	33	11	in	in	ADP
ejpam-6222	33	12	the	the	DET
ejpam-6222	33	13	complex	complex	ADJ
ejpam-6222	33	14	plane	plane	NOUN
ejpam-6222	33	15	as	as	ADV
ejpam-6222	33	16	well	well	ADV
ejpam-6222	33	17	as	as	ADP
ejpam-6222	33	18	the	the	DET
ejpam-6222	33	19	interval	interval	NOUN
ejpam-6222	33	20	0	0	NUM
ejpam-6222	33	21	≤	≤	NUM
ejpam-6222	33	22	y	y	SYM
ejpam-6222	33	23	≤	≤	NUM
ejpam-6222	33	24	1	1	NUM
ejpam-6222	33	25	.	.	PUNCT
ejpam-6222	34	1	let	let	VERB
ejpam-6222	34	2	a	a	PRON
ejpam-6222	34	3	=	=	PUNCT
ejpam-6222	34	4	{	{	PUNCT
ejpam-6222	34	5	(	(	PUNCT
ejpam-6222	34	6	τ	τ	PROPN
ejpam-6222	34	7	,	,	PUNCT
ejpam-6222	34	8	ra(τ)e1γa(τ))|τ	ra(τ)e1γa(τ))|τ	PROPN
ejpam-6222	34	9	∈	∈	PROPN
ejpam-6222	34	10	y	y	AUX
ejpam-6222	34	11	}	}	PUNCT
ejpam-6222	34	12	be	be	AUX
ejpam-6222	34	13	the	the	DET
ejpam-6222	34	14	phase	phase	NOUN
ejpam-6222	34	15	and	and	CCONJ
ejpam-6222	34	16	amplitude	amplitude	NOUN
ejpam-6222	34	17	term	term	NOUN
ejpam-6222	34	18	for	for	ADP
ejpam-6222	34	19	cfs	cfs	PROPN
ejpam-6222	34	20	.	.	PUNCT
ejpam-6222	35	1	in	in	ADP
ejpam-6222	35	2	this	this	DET
ejpam-6222	35	3	case	case	NOUN
ejpam-6222	35	4	,	,	PUNCT
ejpam-6222	35	5	the	the	DET
ejpam-6222	35	6	amplitude	amplitude	NOUN
ejpam-6222	35	7	term	term	NOUN
ejpam-6222	35	8	is	be	AUX
ejpam-6222	35	9	i	i	NOUN
ejpam-6222	35	10	=	=	NOUN
ejpam-6222	35	11	√	√	NUM
ejpam-6222	35	12	−1	−1	NOUN
ejpam-6222	35	13	,	,	PUNCT
ejpam-6222	35	14	ra(τ	ra(τ	SYM
ejpam-6222	35	15	)	)	PUNCT
ejpam-6222	35	16	∈	∈	PROPN
ejpam-6222	36	1	[	[	X
ejpam-6222	36	2	0	0	NUM
ejpam-6222	36	3	,	,	PUNCT
ejpam-6222	36	4	1	1	NUM
ejpam-6222	36	5	]	]	PUNCT
ejpam-6222	36	6	,	,	PUNCT
ejpam-6222	36	7	and	and	CCONJ
ejpam-6222	36	8	the	the	DET
ejpam-6222	36	9	phase	phase	NOUN
ejpam-6222	36	10	term	term	NOUN
ejpam-6222	36	11	is	be	AUX
ejpam-6222	36	12	γa(τ	γa(τ	NOUN
ejpam-6222	36	13	)	)	PUNCT
ejpam-6222	36	14	∈	∈	PROPN
ejpam-6222	37	1	[	[	X
ejpam-6222	37	2	0	0	NUM
ejpam-6222	37	3	,	,	PUNCT
ejpam-6222	37	4	2π	2π	NOUN
ejpam-6222	37	5	]	]	PUNCT
ejpam-6222	37	6	.	.	PUNCT
ejpam-6222	38	1	if	if	SCONJ
ejpam-6222	38	2	you	you	PRON
ejpam-6222	38	3	set	set	VERB
ejpam-6222	38	4	the	the	DET
ejpam-6222	38	5	phase	phase	NOUN
ejpam-6222	38	6	term	term	NOUN
ejpam-6222	38	7	to	to	ADP
ejpam-6222	38	8	zero	zero	NUM
ejpam-6222	38	9	,	,	PUNCT
ejpam-6222	38	10	cfs	cfs	PROPN
ejpam-6222	38	11	can	can	AUX
ejpam-6222	38	12	function	function	VERB
ejpam-6222	38	13	as	as	ADP
ejpam-6222	38	14	a	a	DET
ejpam-6222	38	15	regular	regular	ADJ
ejpam-6222	38	16	fs	fs	NOUN
ejpam-6222	38	17	.	.	PUNCT
ejpam-6222	39	1	in	in	ADP
ejpam-6222	39	2	addition	addition	NOUN
ejpam-6222	39	3	to	to	ADP
ejpam-6222	39	4	being	be	AUX
ejpam-6222	39	5	a	a	DET
ejpam-6222	39	6	straightforward	straightforward	ADJ
ejpam-6222	39	7	expansion	expansion	NOUN
ejpam-6222	39	8	of	of	ADP
ejpam-6222	39	9	the	the	DET
ejpam-6222	39	10	conventional	conventional	ADJ
ejpam-6222	39	11	fuzzy	fuzzy	ADJ
ejpam-6222	39	12	set	set	NOUN
ejpam-6222	39	13	,	,	PUNCT
ejpam-6222	39	14	cfs	cfs	PROPN
ejpam-6222	39	15	offers	offer	VERB
ejpam-6222	39	16	an	an	DET
ejpam-6222	39	17	obvious	obvious	ADJ
ejpam-6222	39	18	way	way	NOUN
ejpam-6222	39	19	to	to	PART
ejpam-6222	39	20	solve	solve	VERB
ejpam-6222	39	21	challenging	challenging	ADJ
ejpam-6222	39	22	and	and	CCONJ
ejpam-6222	39	23	impossible	impossible	ADJ
ejpam-6222	39	24	issues	issue	NOUN
ejpam-6222	39	25	.	.	PUNCT
ejpam-6222	40	1	the	the	DET
ejpam-6222	40	2	range	range	NOUN
ejpam-6222	40	3	of	of	ADP
ejpam-6222	40	4	a	a	DET
ejpam-6222	40	5	cfs	cfs	NOUN
ejpam-6222	40	6	,	,	PUNCT
ejpam-6222	40	7	which	which	PRON
ejpam-6222	40	8	is	be	AUX
ejpam-6222	40	9	an	an	DET
ejpam-6222	40	10	expanded	expand	VERB
ejpam-6222	40	11	version	version	NOUN
ejpam-6222	40	12	of	of	ADP
ejpam-6222	40	13	a	a	DET
ejpam-6222	40	14	fs	f	NOUN
ejpam-6222	40	15	,	,	PUNCT
ejpam-6222	40	16	includes	include	VERB
ejpam-6222	40	17	both	both	CCONJ
ejpam-6222	40	18	real	real	ADJ
ejpam-6222	40	19	and	and	CCONJ
ejpam-6222	40	20	complex	complex	ADJ
ejpam-6222	40	21	integers	integer	NOUN
ejpam-6222	40	22	with	with	ADP
ejpam-6222	40	23	certain	certain	ADJ
ejpam-6222	40	24	imaginary	imaginary	ADJ
ejpam-6222	40	25	characteristics	characteristic	NOUN
ejpam-6222	40	26	.	.	PUNCT
ejpam-6222	41	1	a	a	DET
ejpam-6222	41	2	complex	complex	ADV
ejpam-6222	41	3	-	-	PUNCT
ejpam-6222	41	4	valued	value	VERB
ejpam-6222	41	5	membership	membership	NOUN
ejpam-6222	41	6	grade	grade	NOUN
ejpam-6222	41	7	with	with	ADP
ejpam-6222	41	8	amplitude	amplitude	NOUN
ejpam-6222	41	9	and	and	CCONJ
ejpam-6222	41	10	phase	phase	NOUN
ejpam-6222	41	11	terms	term	NOUN
ejpam-6222	41	12	is	be	AUX
ejpam-6222	41	13	indicated	indicate	VERB
ejpam-6222	41	14	by	by	ADP
ejpam-6222	41	15	cfs	cfs	PROPN
ejpam-6222	41	16	.	.	PUNCT
ejpam-6222	42	1	this	this	PRON
ejpam-6222	42	2	suggests	suggest	VERB
ejpam-6222	42	3	that	that	SCONJ
ejpam-6222	42	4	compared	compare	VERB
ejpam-6222	42	5	to	to	ADP
ejpam-6222	42	6	a	a	DET
ejpam-6222	42	7	traditional	traditional	ADJ
ejpam-6222	42	8	fs	f	NOUN
ejpam-6222	42	9	,	,	PUNCT
ejpam-6222	42	10	the	the	DET
ejpam-6222	42	11	cfs	cfs	NOUN
ejpam-6222	42	12	is	be	AUX
ejpam-6222	42	13	more	more	ADV
ejpam-6222	42	14	broad	broad	ADJ
ejpam-6222	42	15	.	.	PUNCT
ejpam-6222	43	1	the	the	DET
ejpam-6222	43	2	decision	decision	NOUN
ejpam-6222	43	3	makers	maker	NOUN
ejpam-6222	43	4	in	in	ADP
ejpam-6222	43	5	the	the	DET
ejpam-6222	43	6	hesitant	hesitant	ADJ
ejpam-6222	43	7	fuzzy	fuzzy	ADJ
ejpam-6222	43	8	set	set	NOUN
ejpam-6222	43	9	(	(	PUNCT
ejpam-6222	43	10	hfs	hfs	PROPN
ejpam-6222	43	11	)	)	PUNCT
ejpam-6222	43	12	offer	offer	VERB
ejpam-6222	43	13	a	a	DET
ejpam-6222	43	14	range	range	NOUN
ejpam-6222	43	15	of	of	ADP
ejpam-6222	43	16	favorable	favorable	ADJ
ejpam-6222	43	17	(	(	PUNCT
ejpam-6222	43	18	multi	multi	ADJ
ejpam-6222	43	19	-	-	ADJ
ejpam-6222	43	20	favorable	favorable	ADJ
ejpam-6222	43	21	)	)	PUNCT
ejpam-6222	43	22	membership	membership	NOUN
ejpam-6222	43	23	values	value	NOUN
ejpam-6222	43	24	for	for	ADP
ejpam-6222	43	25	simultaneously	simultaneously	ADV
ejpam-6222	43	26	expressing	express	VERB
ejpam-6222	43	27	their	their	PRON
ejpam-6222	43	28	preferences	preference	NOUN
ejpam-6222	43	29	and	and	CCONJ
ejpam-6222	43	30	evaluations	evaluation	NOUN
ejpam-6222	43	31	.	.	PUNCT
ejpam-6222	44	1	however	however	ADV
ejpam-6222	44	2	,	,	PUNCT
ejpam-6222	44	3	the	the	DET
ejpam-6222	44	4	cfs	cfs	NOUN
ejpam-6222	44	5	gives	give	VERB
ejpam-6222	44	6	us	we	PRON
ejpam-6222	44	7	the	the	DET
ejpam-6222	44	8	option	option	NOUN
ejpam-6222	44	9	to	to	PART
ejpam-6222	44	10	include	include	VERB
ejpam-6222	44	11	a	a	DET
ejpam-6222	44	12	phase	phase	NOUN
ejpam-6222	44	13	component	component	NOUN
ejpam-6222	44	14	,	,	PUNCT
ejpam-6222	44	15	which	which	PRON
ejpam-6222	44	16	helps	help	VERB
ejpam-6222	44	17	us	we	PRON
ejpam-6222	44	18	learn	learn	VERB
ejpam-6222	44	19	more	more	ADJ
ejpam-6222	44	20	about	about	ADP
ejpam-6222	44	21	a	a	DET
ejpam-6222	44	22	specific	specific	ADJ
ejpam-6222	44	23	higher	high	ADJ
ejpam-6222	44	24	dimensional	dimensional	ADJ
ejpam-6222	44	25	periodic	periodic	ADJ
ejpam-6222	44	26	problem	problem	NOUN
ejpam-6222	44	27	.	.	PUNCT
ejpam-6222	45	1	within	within	ADP
ejpam-6222	45	2	the	the	DET
ejpam-6222	45	3	aforementioned	aforementioned	ADJ
ejpam-6222	45	4	talks	talk	NOUN
ejpam-6222	45	5	of	of	ADP
ejpam-6222	45	6	the	the	DET
ejpam-6222	45	7	different	different	ADJ
ejpam-6222	45	8	applications	application	NOUN
ejpam-6222	45	9	and	and	CCONJ
ejpam-6222	45	10	generalizations	generalization	NOUN
ejpam-6222	45	11	.	.	PUNCT
ejpam-6222	46	1	with	with	ADP
ejpam-6222	46	2	the	the	DET
ejpam-6222	46	3	potential	potential	ADJ
ejpam-6222	46	4	enlarged	enlarge	VERB
ejpam-6222	46	5	range	range	NOUN
ejpam-6222	46	6	of	of	ADP
ejpam-6222	46	7	unit	unit	NOUN
ejpam-6222	46	8	disk	disk	NOUN
ejpam-6222	46	9	containing	contain	VERB
ejpam-6222	46	10	a	a	DET
ejpam-6222	46	11	phase	phase	NOUN
ejpam-6222	46	12	component	component	NOUN
ejpam-6222	46	13	,	,	PUNCT
ejpam-6222	46	14	we	we	PRON
ejpam-6222	46	15	provide	provide	VERB
ejpam-6222	46	16	a	a	DET
ejpam-6222	46	17	logical	logical	ADJ
ejpam-6222	46	18	extension	extension	NOUN
ejpam-6222	46	19	of	of	ADP
ejpam-6222	46	20	the	the	DET
ejpam-6222	46	21	current	current	ADJ
ejpam-6222	46	22	set	set	NOUN
ejpam-6222	46	23	to	to	ADP
ejpam-6222	46	24	a	a	DET
ejpam-6222	46	25	unique	unique	ADJ
ejpam-6222	46	26	idea	idea	NOUN
ejpam-6222	46	27	of	of	ADP
ejpam-6222	46	28	a	a	DET
ejpam-6222	46	29	cohesive	cohesive	ADJ
ejpam-6222	46	30	fs	f	NOUN
ejpam-6222	46	31	,	,	PUNCT
ejpam-6222	46	32	which	which	PRON
ejpam-6222	46	33	may	may	AUX
ejpam-6222	46	34	explicitly	explicitly	ADV
ejpam-6222	46	35	focus	focus	VERB
ejpam-6222	46	36	on	on	ADP
ejpam-6222	46	37	the	the	DET
ejpam-6222	46	38	set	set	NOUN
ejpam-6222	46	39	of	of	ADP
ejpam-6222	46	40	the	the	DET
ejpam-6222	46	41	favorable	favorable	ADJ
ejpam-6222	46	42	scenarios	scenario	NOUN
ejpam-6222	46	43	for	for	ADP
ejpam-6222	46	44	a	a	DET
ejpam-6222	46	45	specific	specific	ADJ
ejpam-6222	46	46	uncertain	uncertain	ADJ
ejpam-6222	46	47	higher	high	ADJ
ejpam-6222	46	48	dimensional	dimensional	ADJ
ejpam-6222	46	49	problem	problem	NOUN
ejpam-6222	46	50	.	.	PUNCT
ejpam-6222	47	1	one	one	NUM
ejpam-6222	47	2	benefit	benefit	NOUN
ejpam-6222	47	3	of	of	ADP
ejpam-6222	47	4	the	the	DET
ejpam-6222	47	5	phase	phase	NOUN
ejpam-6222	47	6	component	component	NOUN
ejpam-6222	47	7	is	be	AUX
ejpam-6222	47	8	that	that	SCONJ
ejpam-6222	47	9	it	it	PRON
ejpam-6222	47	10	can	can	AUX
ejpam-6222	47	11	help	help	VERB
ejpam-6222	47	12	with	with	ADP
ejpam-6222	47	13	periodic	periodic	ADJ
ejpam-6222	47	14	impreciseness	impreciseness	NOUN
ejpam-6222	47	15	.	.	PUNCT
ejpam-6222	48	1	the	the	DET
ejpam-6222	48	2	concept	concept	NOUN
ejpam-6222	48	3	of	of	ADP
ejpam-6222	48	4	a	a	DET
ejpam-6222	48	5	generalized	generalized	ADJ
ejpam-6222	48	6	owa	owa	NOUN
ejpam-6222	48	7	operator	operator	NOUN
ejpam-6222	48	8	was	be	AUX
ejpam-6222	48	9	introduced	introduce	VERB
ejpam-6222	48	10	by	by	ADP
ejpam-6222	48	11	yager	yager	NOUN
ejpam-6222	48	12	[	[	X
ejpam-6222	48	13	5	5	NUM
ejpam-6222	48	14	]	]	PUNCT
ejpam-6222	48	15	.	.	PUNCT
ejpam-6222	49	1	the	the	DET
ejpam-6222	49	2	complex	complex	ADJ
ejpam-6222	49	3	fuzzy	fuzzy	ADJ
ejpam-6222	49	4	arithmetic	arithmetic	ADJ
ejpam-6222	49	5	ao	ao	PROPN
ejpam-6222	49	6	was	be	AUX
ejpam-6222	49	7	first	first	ADV
ejpam-6222	49	8	presented	present	VERB
ejpam-6222	49	9	by	by	ADP
ejpam-6222	49	10	bi	bi	PROPN
ejpam-6222	49	11	et	et	PROPN
ejpam-6222	49	12	al	al	PROPN
ejpam-6222	49	13	.	.	PUNCT
ejpam-6222	50	1	[	[	X
ejpam-6222	50	2	6	6	NUM
ejpam-6222	50	3	]	]	PUNCT
ejpam-6222	50	4	.	.	PUNCT
ejpam-6222	51	1	the	the	DET
ejpam-6222	51	2	use	use	NOUN
ejpam-6222	51	3	of	of	ADP
ejpam-6222	51	4	fuzzy	fuzzy	ADJ
ejpam-6222	51	5	information	information	NOUN
ejpam-6222	51	6	by	by	ADP
ejpam-6222	51	7	aos	aos	PROPN
ejpam-6222	51	8	has	have	AUX
ejpam-6222	51	9	increased	increase	VERB
ejpam-6222	51	10	within	within	ADP
ejpam-6222	51	11	the	the	DET
ejpam-6222	51	12	last	last	ADJ
ejpam-6222	51	13	few	few	ADJ
ejpam-6222	51	14	years	year	NOUN
ejpam-6222	51	15	.	.	PUNCT
ejpam-6222	52	1	numerous	numerous	ADJ
ejpam-6222	52	2	ideas	idea	NOUN
ejpam-6222	52	3	have	have	AUX
ejpam-6222	52	4	been	be	AUX
ejpam-6222	52	5	put	put	VERB
ejpam-6222	52	6	forth	forth	ADP
ejpam-6222	52	7	to	to	PART
ejpam-6222	52	8	explain	explain	VERB
ejpam-6222	52	9	uncertainty	uncertainty	NOUN
ejpam-6222	52	10	,	,	PUNCT
ejpam-6222	52	11	including	include	VERB
ejpam-6222	52	12	fuzzy	fuzzy	ADJ
ejpam-6222	52	13	sets	set	NOUN
ejpam-6222	52	14	(	(	PUNCT
ejpam-6222	52	15	fs	fs	INTJ
ejpam-6222	52	16	)	)	PUNCT
ejpam-6222	53	1	[	[	X
ejpam-6222	53	2	1	1	NUM
ejpam-6222	53	3	]	]	PUNCT
ejpam-6222	53	4	,	,	PUNCT
ejpam-6222	53	5	which	which	PRON
ejpam-6222	53	6	have	have	VERB
ejpam-6222	53	7	membership	membership	NOUN
ejpam-6222	53	8	grades	grade	NOUN
ejpam-6222	53	9	(	(	PUNCT
ejpam-6222	53	10	mg	mg	ADJ
ejpam-6222	53	11	)	)	PUNCT
ejpam-6222	53	12	ranging	range	VERB
ejpam-6222	53	13	from	from	ADP
ejpam-6222	53	14	0	0	NUM
ejpam-6222	53	15	to	to	PART
ejpam-6222	53	16	1	1	NUM
ejpam-6222	53	17	.	.	PUNCT
ejpam-6222	53	18	atanassov	atanassov	PROPN
ejpam-6222	54	1	[	[	X
ejpam-6222	54	2	7	7	NUM
ejpam-6222	54	3	]	]	PUNCT
ejpam-6222	54	4	started	start	VERB
ejpam-6222	54	5	an	an	DET
ejpam-6222	54	6	intuitionistic	intuitionistic	ADJ
ejpam-6222	54	7	fs	fs	X
ejpam-6222	54	8	(	(	PUNCT
ejpam-6222	54	9	ifs	ifs	PROPN
ejpam-6222	54	10	)	)	PUNCT
ejpam-6222	54	11	where	where	SCONJ
ejpam-6222	54	12	each	each	DET
ejpam-6222	54	13	element	element	NOUN
ejpam-6222	54	14	has	have	VERB
ejpam-6222	54	15	two	two	NUM
ejpam-6222	54	16	mgs	mgs	NOUN
ejpam-6222	54	17	,	,	PUNCT
ejpam-6222	54	18	like	like	ADP
ejpam-6222	54	19	0	0	NUM
ejpam-6222	54	20	≤	≤	NUM
ejpam-6222	54	21	ϖ+κ	ϖ+κ	ADJ
ejpam-6222	54	22	≤	≤	NUM
ejpam-6222	54	23	1	1	NUM
ejpam-6222	54	24	,	,	PUNCT
ejpam-6222	54	25	ϖ,κ	ϖ,κ	NOUN
ejpam-6222	54	26	∈	∈	NOUN
ejpam-6222	55	1	[	[	X
ejpam-6222	55	2	0	0	NUM
ejpam-6222	55	3	,	,	PUNCT
ejpam-6222	55	4	1	1	NUM
ejpam-6222	55	5	]	]	PUNCT
ejpam-6222	55	6	,	,	PUNCT
ejpam-6222	55	7	m.	m.	PROPN
ejpam-6222	55	8	palanikumar	palanikumar	PROPN
ejpam-6222	55	9	et	et	PROPN
ejpam-6222	55	10	al	al	PROPN
ejpam-6222	55	11	.	.	PUNCT
ejpam-6222	55	12	/	/	SYM
ejpam-6222	55	13	eur	eur	PROPN
ejpam-6222	55	14	.	.	PUNCT
ejpam-6222	56	1	j.	j.	PROPN
ejpam-6222	56	2	pure	pure	PROPN
ejpam-6222	56	3	appl	appl	PROPN
ejpam-6222	56	4	.	.	PROPN
ejpam-6222	56	5	math	math	PROPN
ejpam-6222	56	6	,	,	PUNCT
ejpam-6222	56	7	18	18	NUM
ejpam-6222	56	8	(	(	PUNCT
ejpam-6222	56	9	3	3	NUM
ejpam-6222	56	10	)	)	PUNCT
ejpam-6222	56	11	(	(	PUNCT
ejpam-6222	56	12	2025	2025	NUM
ejpam-6222	56	13	)	)	PUNCT
ejpam-6222	56	14	,	,	PUNCT
ejpam-6222	56	15	6222	6222	NUM
ejpam-6222	56	16	3	3	NUM
ejpam-6222	56	17	of	of	ADP
ejpam-6222	56	18	14	14	NUM
ejpam-6222	56	19	and	and	CCONJ
ejpam-6222	56	20	positive	positive	ADJ
ejpam-6222	56	21	ϖ	ϖ	NOUN
ejpam-6222	56	22	and	and	CCONJ
ejpam-6222	56	23	negative	negative	ADJ
ejpam-6222	56	24	κ	κ	NOUN
ejpam-6222	56	25	.	.	PUNCT
ejpam-6222	57	1	the	the	DET
ejpam-6222	57	2	pythagorean	pythagorean	PROPN
ejpam-6222	57	3	fss	fss	PROPN
ejpam-6222	57	4	(	(	PUNCT
ejpam-6222	57	5	pfs	pfs	PROPN
ejpam-6222	57	6	)	)	PUNCT
ejpam-6222	57	7	idea	idea	NOUN
ejpam-6222	57	8	was	be	AUX
ejpam-6222	57	9	developed	develop	VERB
ejpam-6222	57	10	by	by	ADP
ejpam-6222	57	11	yager	yager	NOUN
ejpam-6222	57	12	[	[	X
ejpam-6222	57	13	8	8	NUM
ejpam-6222	57	14	]	]	PUNCT
ejpam-6222	57	15	and	and	CCONJ
ejpam-6222	57	16	is	be	AUX
ejpam-6222	57	17	distinguished	distinguish	VERB
ejpam-6222	57	18	by	by	ADP
ejpam-6222	57	19	its	its	PRON
ejpam-6222	57	20	mg	mg	PROPN
ejpam-6222	57	21	and	and	CCONJ
ejpam-6222	57	22	non	non	ADJ
ejpam-6222	57	23	-	-	ADJ
ejpam-6222	57	24	mg	mg	ADJ
ejpam-6222	57	25	(	(	PUNCT
ejpam-6222	57	26	nmg	nmg	NOUN
ejpam-6222	57	27	)	)	PUNCT
ejpam-6222	57	28	with	with	ADP
ejpam-6222	57	29	ϖ	ϖ	PROPN
ejpam-6222	58	1	+	+	X
ejpam-6222	58	2	κ	κ	X
ejpam-6222	58	3	≥	≥	NOUN
ejpam-6222	58	4	1	1	NUM
ejpam-6222	58	5	to	to	PART
ejpam-6222	58	6	ϖ2	ϖ2	NOUN
ejpam-6222	58	7	+	+	CCONJ
ejpam-6222	58	8	κ2	κ2	NOUN
ejpam-6222	58	9	≤	≤	ADV
ejpam-6222	58	10	1	1	NUM
ejpam-6222	58	11	.	.	PUNCT
ejpam-6222	58	12	cuong	cuong	PROPN
ejpam-6222	58	13	et	et	PROPN
ejpam-6222	58	14	al	al	PROPN
ejpam-6222	58	15	.	.	PUNCT
ejpam-6222	59	1	[	[	X
ejpam-6222	59	2	9	9	NUM
ejpam-6222	59	3	]	]	PUNCT
ejpam-6222	59	4	identified	identify	VERB
ejpam-6222	59	5	three	three	NUM
ejpam-6222	59	6	main	main	ADJ
ejpam-6222	59	7	ideas	idea	NOUN
ejpam-6222	59	8	of	of	ADP
ejpam-6222	59	9	the	the	DET
ejpam-6222	59	10	picture	picture	NOUN
ejpam-6222	59	11	fs	fs	ADP
ejpam-6222	59	12	:	:	PUNCT
ejpam-6222	59	13	positive	positive	ADJ
ejpam-6222	59	14	mg	mg	PROPN
ejpam-6222	59	15	(	(	PUNCT
ejpam-6222	59	16	ϖ	ϖ	NOUN
ejpam-6222	59	17	)	)	PUNCT
ejpam-6222	59	18	,	,	PUNCT
ejpam-6222	59	19	neutral	neutral	ADJ
ejpam-6222	59	20	mg	mg	PROPN
ejpam-6222	59	21	(	(	PUNCT
ejpam-6222	59	22	γ	γ	NOUN
ejpam-6222	59	23	)	)	PUNCT
ejpam-6222	59	24	,	,	PUNCT
ejpam-6222	59	25	and	and	CCONJ
ejpam-6222	59	26	negative	negative	ADJ
ejpam-6222	59	27	mg	mg	PROPN
ejpam-6222	59	28	(	(	PUNCT
ejpam-6222	59	29	κ	κ	NOUN
ejpam-6222	59	30	)	)	PUNCT
ejpam-6222	59	31	.	.	PUNCT
ejpam-6222	60	1	furthermore	furthermore	ADV
ejpam-6222	60	2	,	,	PUNCT
ejpam-6222	60	3	because	because	SCONJ
ejpam-6222	60	4	ϖ	ϖ	NOUN
ejpam-6222	60	5	,	,	PUNCT
ejpam-6222	60	6	γ	γ	X
ejpam-6222	60	7	,	,	PUNCT
ejpam-6222	60	8	κ	κ	PROPN
ejpam-6222	60	9	∈	∈	PROPN
ejpam-6222	61	1	[	[	X
ejpam-6222	61	2	0	0	NUM
ejpam-6222	61	3	,	,	PUNCT
ejpam-6222	61	4	1	1	NUM
ejpam-6222	61	5	]	]	PUNCT
ejpam-6222	61	6	,	,	PUNCT
ejpam-6222	61	7	it	it	PRON
ejpam-6222	61	8	provides	provide	VERB
ejpam-6222	61	9	more	more	ADJ
ejpam-6222	61	10	advantages	advantage	NOUN
ejpam-6222	61	11	than	than	ADP
ejpam-6222	61	12	pfs	pfs	PROPN
ejpam-6222	61	13	and	and	CCONJ
ejpam-6222	61	14	ifs	ifs	PROPN
ejpam-6222	61	15	with	with	ADP
ejpam-6222	61	16	0	0	NUM
ejpam-6222	61	17	≤	≤	NUM
ejpam-6222	61	18	ϖ	ϖ	NOUN
ejpam-6222	62	1	+	+	CCONJ
ejpam-6222	62	2	γ	γ	X
ejpam-6222	62	3	+	+	X
ejpam-6222	62	4	κ	κ	X
ejpam-6222	62	5	≤	≤	NUM
ejpam-6222	62	6	1	1	NUM
ejpam-6222	62	7	.	.	PUNCT
ejpam-6222	63	1	according	accord	VERB
ejpam-6222	63	2	on	on	ADP
ejpam-6222	63	3	the	the	DET
ejpam-6222	63	4	picture	picture	NOUN
ejpam-6222	63	5	fs	fs	ADP
ejpam-6222	63	6	description	description	NOUN
ejpam-6222	63	7	,	,	PUNCT
ejpam-6222	63	8	expert	expert	ADJ
ejpam-6222	63	9	comments	comment	NOUN
ejpam-6222	63	10	such	such	ADJ
ejpam-6222	63	11	as	as	ADP
ejpam-6222	63	12	”	"	PUNCT
ejpam-6222	63	13	yes	yes	INTJ
ejpam-6222	63	14	,	,	PUNCT
ejpam-6222	63	15	”	"	PUNCT
ejpam-6222	63	16	”	"	PUNCT
ejpam-6222	63	17	abstain	abstain	NOUN
ejpam-6222	63	18	,	,	PUNCT
ejpam-6222	63	19	”	"	PUNCT
ejpam-6222	63	20	”	"	PUNCT
ejpam-6222	63	21	no	no	INTJ
ejpam-6222	63	22	,	,	PUNCT
ejpam-6222	63	23	”	"	PUNCT
ejpam-6222	63	24	and	and	CCONJ
ejpam-6222	63	25	”	"	PUNCT
ejpam-6222	63	26	refusal	refusal	NOUN
ejpam-6222	63	27	”	"	PUNCT
ejpam-6222	63	28	will	will	AUX
ejpam-6222	63	29	be	be	AUX
ejpam-6222	63	30	provided	provide	VERB
ejpam-6222	63	31	.	.	PUNCT
ejpam-6222	64	1	shahzaib	shahzaib	NOUN
ejpam-6222	64	2	et	et	PROPN
ejpam-6222	64	3	al	al	PROPN
ejpam-6222	64	4	.	.	PUNCT
ejpam-6222	65	1	[	[	X
ejpam-6222	65	2	10	10	NUM
ejpam-6222	65	3	]	]	PUNCT
ejpam-6222	65	4	designed	design	VERB
ejpam-6222	65	5	the	the	DET
ejpam-6222	65	6	sfs	sfs	NOUN
ejpam-6222	65	7	for	for	ADP
ejpam-6222	65	8	certain	certain	ADJ
ejpam-6222	65	9	aos	aos	NOUN
ejpam-6222	65	10	using	use	VERB
ejpam-6222	65	11	madm	madm	NOUN
ejpam-6222	65	12	.	.	PUNCT
ejpam-6222	66	1	sfs	sfs	PROPN
ejpam-6222	66	2	needs	need	VERB
ejpam-6222	66	3	0	0	NUM
ejpam-6222	66	4	≤	≤	NUM
ejpam-6222	66	5	ϖ2+γ2+κ2	ϖ2+γ2+κ2	SCONJ
ejpam-6222	66	6	≤	≤	ADJ
ejpam-6222	66	7	1	1	NUM
ejpam-6222	66	8	,	,	PUNCT
ejpam-6222	66	9	not	not	PART
ejpam-6222	66	10	0	0	NUM
ejpam-6222	66	11	≤	≤	NUM
ejpam-6222	66	12	ϖ+γ+κ	ϖ+γ+κ	NOUN
ejpam-6222	66	13	≤	≤	NUM
ejpam-6222	66	14	1	1	NUM
ejpam-6222	66	15	.	.	PUNCT
ejpam-6222	67	1	hussain	hussain	PROPN
ejpam-6222	67	2	et	et	PROPN
ejpam-6222	67	3	al	al	PROPN
ejpam-6222	67	4	.	.	PUNCT
ejpam-6222	68	1	[	[	X
ejpam-6222	68	2	11	11	NUM
ejpam-6222	68	3	]	]	PUNCT
ejpam-6222	68	4	introduced	introduce	VERB
ejpam-6222	68	5	the	the	DET
ejpam-6222	68	6	idea	idea	NOUN
ejpam-6222	68	7	of	of	ADP
ejpam-6222	68	8	an	an	DET
ejpam-6222	68	9	intelligent	intelligent	ADJ
ejpam-6222	68	10	decision	decision	NOUN
ejpam-6222	68	11	support	support	NOUN
ejpam-6222	68	12	system	system	NOUN
ejpam-6222	68	13	for	for	ADP
ejpam-6222	68	14	sfs	sfs	NOUN
ejpam-6222	68	15	.	.	PUNCT
ejpam-6222	69	1	in	in	ADP
ejpam-6222	69	2	the	the	DET
ejpam-6222	69	3	q	q	ADJ
ejpam-6222	69	4	-	-	PUNCT
ejpam-6222	69	5	rung	rung	ADJ
ejpam-6222	69	6	orthogonal	orthogonal	ADJ
ejpam-6222	69	7	pair	pair	NOUN
ejpam-6222	69	8	fs	fs	ADP
ejpam-6222	69	9	(	(	PUNCT
ejpam-6222	69	10	q	q	NOUN
ejpam-6222	69	11	-	-	PUNCT
ejpam-6222	69	12	rofs	rofs	NOUN
ejpam-6222	69	13	)	)	PUNCT
ejpam-6222	69	14	,	,	PUNCT
ejpam-6222	69	15	both	both	CCONJ
ejpam-6222	69	16	the	the	DET
ejpam-6222	69	17	mg	mg	PROPN
ejpam-6222	69	18	and	and	CCONJ
ejpam-6222	69	19	the	the	DET
ejpam-6222	69	20	nmg	nmg	NOUN
ejpam-6222	69	21	have	have	VERB
ejpam-6222	69	22	power	power	NOUN
ejpam-6222	69	23	q	q	NOUN
ejpam-6222	69	24	,	,	PUNCT
ejpam-6222	69	25	but	but	CCONJ
ejpam-6222	69	26	their	their	PRON
ejpam-6222	69	27	total	total	NOUN
ejpam-6222	69	28	can	can	AUX
ejpam-6222	69	29	never	never	ADV
ejpam-6222	69	30	be	be	AUX
ejpam-6222	69	31	more	more	ADJ
ejpam-6222	69	32	than	than	ADP
ejpam-6222	69	33	1	1	NUM
ejpam-6222	69	34	.	.	PUNCT
ejpam-6222	70	1	xu	xu	PROPN
ejpam-6222	70	2	et	et	PROPN
ejpam-6222	70	3	al	al	PROPN
ejpam-6222	70	4	.	.	PUNCT
ejpam-6222	71	1	[	[	X
ejpam-6222	71	2	12	12	NUM
ejpam-6222	71	3	]	]	PUNCT
ejpam-6222	71	4	used	use	VERB
ejpam-6222	71	5	ifss	ifss	NOUN
ejpam-6222	71	6	to	to	PART
ejpam-6222	71	7	develop	develop	VERB
ejpam-6222	71	8	geometric	geometric	ADJ
ejpam-6222	71	9	operators	operator	NOUN
ejpam-6222	71	10	,	,	PUNCT
ejpam-6222	71	11	including	include	VERB
ejpam-6222	71	12	weighted	weight	VERB
ejpam-6222	71	13	,	,	PUNCT
ejpam-6222	71	14	ordered	order	VERB
ejpam-6222	71	15	weighted	weight	VERB
ejpam-6222	71	16	,	,	PUNCT
ejpam-6222	71	17	and	and	CCONJ
ejpam-6222	71	18	hybrid	hybrid	ADJ
ejpam-6222	71	19	operators	operator	NOUN
ejpam-6222	71	20	.	.	PUNCT
ejpam-6222	72	1	li	li	PROPN
ejpam-6222	72	2	et	et	PROPN
ejpam-6222	72	3	al	al	PROPN
ejpam-6222	72	4	.	.	PUNCT
ejpam-6222	73	1	[	[	X
ejpam-6222	73	2	13	13	NUM
ejpam-6222	73	3	]	]	PUNCT
ejpam-6222	73	4	introduced	introduce	VERB
ejpam-6222	73	5	generalized	generalized	ADJ
ejpam-6222	73	6	ordered	order	VERB
ejpam-6222	73	7	weighted	weight	VERB
ejpam-6222	73	8	averaging	average	VERB
ejpam-6222	73	9	operators	operator	NOUN
ejpam-6222	73	10	(	(	PUNCT
ejpam-6222	73	11	gows	gow	NOUN
ejpam-6222	73	12	)	)	PUNCT
ejpam-6222	73	13	in	in	ADP
ejpam-6222	73	14	2002	2002	NUM
ejpam-6222	73	15	.	.	PUNCT
ejpam-6222	74	1	zeng	zeng	PROPN
ejpam-6222	74	2	et	et	PROPN
ejpam-6222	74	3	al	al	PROPN
ejpam-6222	74	4	.	.	PUNCT
ejpam-6222	75	1	[	[	X
ejpam-6222	75	2	14	14	NUM
ejpam-6222	75	3	]	]	PUNCT
ejpam-6222	75	4	presented	present	VERB
ejpam-6222	75	5	a	a	DET
ejpam-6222	75	6	method	method	NOUN
ejpam-6222	75	7	for	for	ADP
ejpam-6222	75	8	computing	computing	NOUN
ejpam-6222	75	9	ordered	order	VERB
ejpam-6222	75	10	weighted	weight	VERB
ejpam-6222	75	11	distances	distance	NOUN
ejpam-6222	75	12	with	with	ADP
ejpam-6222	75	13	aos	aos	PROPN
ejpam-6222	75	14	and	and	CCONJ
ejpam-6222	75	15	measurements	measurement	NOUN
ejpam-6222	75	16	.	.	PUNCT
ejpam-6222	76	1	peng	peng	PROPN
ejpam-6222	76	2	et	et	PROPN
ejpam-6222	76	3	al	al	PROPN
ejpam-6222	76	4	.	.	PUNCT
ejpam-6222	77	1	[	[	X
ejpam-6222	77	2	15	15	NUM
ejpam-6222	77	3	]	]	PUNCT
ejpam-6222	77	4	analyzed	analyze	VERB
ejpam-6222	77	5	a	a	DET
ejpam-6222	77	6	simple	simple	ADJ
ejpam-6222	77	7	pfs	pfs	NOUN
ejpam-6222	77	8	based	base	VERB
ejpam-6222	77	9	on	on	ADP
ejpam-6222	77	10	ao	ao	PROPN
ejpam-6222	77	11	features	feature	NOUN
ejpam-6222	77	12	.	.	PUNCT
ejpam-6222	78	1	palanikumar	palanikumar	PROPN
ejpam-6222	78	2	et	et	PROPN
ejpam-6222	78	3	al	al	PROPN
ejpam-6222	78	4	.	.	PROPN
ejpam-6222	78	5	studied	study	VERB
ejpam-6222	78	6	algebraic	algebraic	ADJ
ejpam-6222	78	7	structures	structure	NOUN
ejpam-6222	78	8	and	and	CCONJ
ejpam-6222	78	9	aggregation	aggregation	NOUN
ejpam-6222	78	10	techniques	technique	NOUN
ejpam-6222	78	11	for	for	ADP
ejpam-6222	78	12	applications	application	NOUN
ejpam-6222	78	13	[	[	X
ejpam-6222	78	14	16–18	16–18	NUM
ejpam-6222	78	15	]	]	PUNCT
ejpam-6222	78	16	.	.	PUNCT
ejpam-6222	79	1	i	i	PRON
ejpam-6222	79	2	shall	shall	AUX
ejpam-6222	79	3	adhere	adhere	VERB
ejpam-6222	79	4	to	to	ADP
ejpam-6222	79	5	the	the	DET
ejpam-6222	79	6	format	format	NOUN
ejpam-6222	79	7	given	give	VERB
ejpam-6222	79	8	here	here	ADV
ejpam-6222	79	9	for	for	ADP
ejpam-6222	79	10	the	the	DET
ejpam-6222	79	11	remainder	remainder	NOUN
ejpam-6222	79	12	of	of	ADP
ejpam-6222	79	13	my	my	PRON
ejpam-6222	79	14	work	work	NOUN
ejpam-6222	79	15	.	.	PUNCT
ejpam-6222	80	1	several	several	ADJ
ejpam-6222	80	2	techniques	technique	NOUN
ejpam-6222	80	3	on	on	ADP
ejpam-6222	80	4	rfffns	rfffns	NOUN
ejpam-6222	80	5	are	be	AUX
ejpam-6222	80	6	described	describe	VERB
ejpam-6222	80	7	in	in	ADP
ejpam-6222	80	8	section	section	NOUN
ejpam-6222	80	9	2	2	NUM
ejpam-6222	80	10	.	.	PUNCT
ejpam-6222	81	1	the	the	DET
ejpam-6222	81	2	aos	aos	PROPN
ejpam-6222	81	3	based	base	VERB
ejpam-6222	81	4	on	on	ADP
ejpam-6222	81	5	csrfffn	csrfffn	NOUN
ejpam-6222	81	6	are	be	AUX
ejpam-6222	81	7	covered	cover	VERB
ejpam-6222	81	8	in	in	ADP
ejpam-6222	81	9	section	section	NOUN
ejpam-6222	81	10	3	3	NUM
ejpam-6222	81	11	.	.	PUNCT
ejpam-6222	82	1	future	future	ADJ
ejpam-6222	82	2	research	research	NOUN
ejpam-6222	82	3	and	and	CCONJ
ejpam-6222	82	4	conclusion	conclusion	NOUN
ejpam-6222	82	5	are	be	AUX
ejpam-6222	82	6	covered	cover	VERB
ejpam-6222	82	7	in	in	ADP
ejpam-6222	82	8	section	section	NOUN
ejpam-6222	82	9	4	4	NUM
ejpam-6222	82	10	.	.	PUNCT
ejpam-6222	83	1	the	the	DET
ejpam-6222	83	2	following	follow	VERB
ejpam-6222	83	3	are	be	AUX
ejpam-6222	83	4	the	the	DET
ejpam-6222	83	5	main	main	ADJ
ejpam-6222	83	6	reasons	reason	NOUN
ejpam-6222	83	7	behind	behind	ADP
ejpam-6222	83	8	this	this	DET
ejpam-6222	83	9	investigation	investigation	NOUN
ejpam-6222	83	10	:	:	PUNCT
ejpam-6222	83	11	(	(	PUNCT
ejpam-6222	83	12	i	i	NOUN
ejpam-6222	83	13	)	)	PUNCT
ejpam-6222	83	14	the	the	DET
ejpam-6222	83	15	initial	initial	ADJ
ejpam-6222	83	16	motivation	motivation	NOUN
ejpam-6222	83	17	for	for	ADP
ejpam-6222	83	18	this	this	DET
ejpam-6222	83	19	research	research	NOUN
ejpam-6222	83	20	is	be	AUX
ejpam-6222	83	21	the	the	DET
ejpam-6222	83	22	limitations	limitation	NOUN
ejpam-6222	83	23	of	of	ADP
ejpam-6222	83	24	existing	exist	VERB
ejpam-6222	83	25	fs	f	NOUN
ejpam-6222	83	26	and	and	CCONJ
ejpam-6222	83	27	ao	ao	PROPN
ejpam-6222	83	28	techniques	technique	NOUN
ejpam-6222	83	29	.	.	PUNCT
ejpam-6222	84	1	while	while	SCONJ
ejpam-6222	84	2	these	these	DET
ejpam-6222	84	3	techniques	technique	NOUN
ejpam-6222	84	4	have	have	AUX
ejpam-6222	84	5	proven	prove	VERB
ejpam-6222	84	6	beneficial	beneficial	ADJ
ejpam-6222	84	7	,	,	PUNCT
ejpam-6222	84	8	they	they	PRON
ejpam-6222	84	9	have	have	VERB
ejpam-6222	84	10	certain	certain	ADJ
ejpam-6222	84	11	limitations	limitation	NOUN
ejpam-6222	84	12	in	in	ADP
ejpam-6222	84	13	describing	describe	VERB
ejpam-6222	84	14	cfs	cfs	NOUN
ejpam-6222	84	15	settings	setting	NOUN
ejpam-6222	84	16	and	and	CCONJ
ejpam-6222	84	17	coping	cope	VERB
ejpam-6222	84	18	with	with	ADP
ejpam-6222	84	19	periodic	periodic	ADJ
ejpam-6222	84	20	unpredictability	unpredictability	NOUN
ejpam-6222	84	21	.	.	PUNCT
ejpam-6222	85	1	this	this	PRON
ejpam-6222	85	2	encourages	encourage	VERB
ejpam-6222	85	3	the	the	DET
ejpam-6222	85	4	investigation	investigation	NOUN
ejpam-6222	85	5	of	of	ADP
ejpam-6222	85	6	cfss	cfss	ADJ
ejpam-6222	85	7	with	with	ADP
ejpam-6222	85	8	complex	complex	ADJ
ejpam-6222	85	9	fuzzy	fuzzy	ADJ
ejpam-6222	85	10	aos	aos	NOUN
ejpam-6222	85	11	as	as	ADP
ejpam-6222	85	12	prospective	prospective	ADJ
ejpam-6222	85	13	strategies	strategy	NOUN
ejpam-6222	85	14	to	to	PART
ejpam-6222	85	15	overcome	overcome	VERB
ejpam-6222	85	16	these	these	DET
ejpam-6222	85	17	constraints	constraint	NOUN
ejpam-6222	85	18	and	and	CCONJ
ejpam-6222	85	19	improve	improve	VERB
ejpam-6222	85	20	the	the	DET
ejpam-6222	85	21	task	task	NOUN
ejpam-6222	85	22	.	.	PUNCT
ejpam-6222	86	1	(	(	PUNCT
ejpam-6222	86	2	ii	ii	NOUN
ejpam-6222	86	3	)	)	PUNCT
ejpam-6222	86	4	the	the	DET
ejpam-6222	86	5	practical	practical	ADJ
ejpam-6222	86	6	necessity	necessity	NOUN
ejpam-6222	86	7	of	of	ADP
ejpam-6222	86	8	an	an	DET
ejpam-6222	86	9	efficacy	efficacy	NOUN
ejpam-6222	86	10	model	model	NOUN
ejpam-6222	86	11	is	be	AUX
ejpam-6222	86	12	the	the	DET
ejpam-6222	86	13	second	second	ADJ
ejpam-6222	86	14	factor	factor	NOUN
ejpam-6222	86	15	motivating	motivate	VERB
ejpam-6222	86	16	this	this	DET
ejpam-6222	86	17	study	study	NOUN
ejpam-6222	86	18	.	.	PUNCT
ejpam-6222	87	1	the	the	DET
ejpam-6222	87	2	current	current	ADJ
ejpam-6222	87	3	challenging	challenging	ADJ
ejpam-6222	87	4	circumstances	circumstance	NOUN
ejpam-6222	87	5	need	need	VERB
ejpam-6222	87	6	applying	apply	VERB
ejpam-6222	87	7	these	these	DET
ejpam-6222	87	8	ideas	idea	NOUN
ejpam-6222	87	9	and	and	CCONJ
ejpam-6222	87	10	techniques	technique	NOUN
ejpam-6222	87	11	to	to	ADP
ejpam-6222	87	12	actual	actual	ADJ
ejpam-6222	87	13	problems	problem	NOUN
ejpam-6222	87	14	and	and	CCONJ
ejpam-6222	87	15	offering	offer	VERB
ejpam-6222	87	16	workable	workable	ADJ
ejpam-6222	87	17	answers	answer	NOUN
ejpam-6222	87	18	.	.	PUNCT
ejpam-6222	88	1	this	this	PRON
ejpam-6222	88	2	encourages	encourage	VERB
ejpam-6222	88	3	the	the	DET
ejpam-6222	88	4	development	development	NOUN
ejpam-6222	88	5	of	of	ADP
ejpam-6222	88	6	new	new	ADJ
ejpam-6222	88	7	theoretical	theoretical	ADJ
ejpam-6222	88	8	frameworks	framework	NOUN
ejpam-6222	88	9	in	in	ADP
ejpam-6222	88	10	the	the	DET
ejpam-6222	88	11	research	research	NOUN
ejpam-6222	88	12	.	.	PUNCT
ejpam-6222	89	1	in	in	ADP
ejpam-6222	89	2	figure	figure	NOUN
ejpam-6222	89	3	1	1	NUM
ejpam-6222	89	4	,	,	PUNCT
ejpam-6222	89	5	we	we	PRON
ejpam-6222	89	6	provide	provide	VERB
ejpam-6222	89	7	an	an	DET
ejpam-6222	89	8	explanatory	explanatory	ADJ
ejpam-6222	89	9	tree	tree	NOUN
ejpam-6222	89	10	diagram	diagram	NOUN
ejpam-6222	89	11	to	to	PART
ejpam-6222	89	12	help	help	VERB
ejpam-6222	89	13	you	you	PRON
ejpam-6222	89	14	get	get	VERB
ejpam-6222	89	15	a	a	DET
ejpam-6222	89	16	sense	sense	NOUN
ejpam-6222	89	17	of	of	ADP
ejpam-6222	89	18	the	the	DET
ejpam-6222	89	19	different	different	ADJ
ejpam-6222	89	20	extensions	extension	NOUN
ejpam-6222	89	21	and	and	CCONJ
ejpam-6222	89	22	generalizations	generalization	NOUN
ejpam-6222	89	23	that	that	PRON
ejpam-6222	89	24	are	be	AUX
ejpam-6222	89	25	currently	currently	ADV
ejpam-6222	89	26	in	in	ADP
ejpam-6222	89	27	use	use	NOUN
ejpam-6222	89	28	.	.	PUNCT
ejpam-6222	90	1	2	2	X
ejpam-6222	90	2	.	.	X
ejpam-6222	90	3	operations	operation	NOUN
ejpam-6222	90	4	for	for	ADP
ejpam-6222	90	5	csrfffn	csrfffn	NOUN
ejpam-6222	90	6	throughout	throughout	ADP
ejpam-6222	90	7	the	the	DET
ejpam-6222	90	8	section	section	NOUN
ejpam-6222	90	9	x	x	PUNCT
ejpam-6222	90	10	=	=	SYM
ejpam-6222	90	11	1	1	X
ejpam-6222	90	12	.	.	PUNCT
ejpam-6222	91	1	the	the	DET
ejpam-6222	91	2	aos	aos	PROPN
ejpam-6222	91	3	are	be	AUX
ejpam-6222	91	4	described	describe	VERB
ejpam-6222	91	5	using	use	VERB
ejpam-6222	91	6	wa	wa	PROPN
ejpam-6222	91	7	,	,	PUNCT
ejpam-6222	91	8	wg	wg	PROPN
ejpam-6222	91	9	,	,	PUNCT
ejpam-6222	91	10	gwa	gwa	PROPN
ejpam-6222	91	11	and	and	CCONJ
ejpam-6222	91	12	gwg	gwg	NOUN
ejpam-6222	91	13	.	.	PUNCT
ejpam-6222	92	1	if	if	SCONJ
ejpam-6222	92	2	m	m	NOUN
ejpam-6222	92	3	is	be	AUX
ejpam-6222	92	4	a	a	DET
ejpam-6222	92	5	fractional	fractional	ADJ
ejpam-6222	92	6	part	part	NOUN
ejpam-6222	92	7	function	function	NOUN
ejpam-6222	92	8	,	,	PUNCT
ejpam-6222	92	9	then	then	ADV
ejpam-6222	92	10	the	the	DET
ejpam-6222	92	11	fractional	fractional	ADJ
ejpam-6222	92	12	part	part	NOUN
ejpam-6222	92	13	of	of	ADP
ejpam-6222	92	14	x	x	NOUN
ejpam-6222	92	15	,	,	PUNCT
ejpam-6222	92	16	where	where	SCONJ
ejpam-6222	92	17	x	x	PRON
ejpam-6222	92	18	is	be	AUX
ejpam-6222	92	19	a	a	DET
ejpam-6222	92	20	real	real	ADJ
ejpam-6222	92	21	number	number	NOUN
ejpam-6222	92	22	,	,	PUNCT
ejpam-6222	92	23	may	may	AUX
ejpam-6222	92	24	be	be	AUX
ejpam-6222	92	25	written	write	VERB
ejpam-6222	92	26	as	as	SCONJ
ejpam-6222	92	27	follows	follow	VERB
ejpam-6222	92	28	:	:	PUNCT
ejpam-6222	92	29	the	the	DET
ejpam-6222	92	30	formula	formula	NOUN
ejpam-6222	92	31	m(x	m(x	PROPN
ejpam-6222	92	32	)	)	PUNCT
ejpam-6222	92	33	=	=	SYM
ejpam-6222	92	34	⌊x⌋	⌊x⌋	PUNCT
ejpam-6222	93	1	=	=	PUNCT
ejpam-6222	93	2	x	x	PUNCT
ejpam-6222	93	3	−	−	NOUN
ejpam-6222	93	4	⌊x⌋.	⌊x⌋.	NUM
ejpam-6222	93	5	as	as	ADP
ejpam-6222	93	6	an	an	DET
ejpam-6222	93	7	alternative	alternative	NOUN
ejpam-6222	93	8	,	,	PUNCT
ejpam-6222	93	9	a	a	DET
ejpam-6222	93	10	fractional	fractional	ADJ
ejpam-6222	93	11	part	part	NOUN
ejpam-6222	93	12	function	function	NOUN
ejpam-6222	93	13	may	may	AUX
ejpam-6222	93	14	be	be	AUX
ejpam-6222	93	15	used	use	VERB
ejpam-6222	93	16	to	to	PART
ejpam-6222	93	17	specify	specify	VERB
ejpam-6222	93	18	the	the	DET
ejpam-6222	93	19	difference	difference	NOUN
ejpam-6222	93	20	between	between	ADP
ejpam-6222	93	21	a	a	DET
ejpam-6222	93	22	real	real	ADJ
ejpam-6222	93	23	number	number	NOUN
ejpam-6222	93	24	and	and	CCONJ
ejpam-6222	93	25	its	its	PRON
ejpam-6222	93	26	biggest	big	ADJ
ejpam-6222	93	27	integer	integer	NOUN
ejpam-6222	93	28	value	value	NOUN
ejpam-6222	93	29	,	,	PUNCT
ejpam-6222	93	30	which	which	PRON
ejpam-6222	93	31	is	be	AUX
ejpam-6222	93	32	found	find	VERB
ejpam-6222	93	33	using	use	VERB
ejpam-6222	93	34	the	the	DET
ejpam-6222	93	35	greatest	great	ADJ
ejpam-6222	93	36	integer	integer	NOUN
ejpam-6222	93	37	function	function	NOUN
ejpam-6222	93	38	.	.	PUNCT
ejpam-6222	94	1	the	the	DET
ejpam-6222	94	2	fractional	fractional	ADJ
ejpam-6222	94	3	component	component	NOUN
ejpam-6222	94	4	of	of	ADP
ejpam-6222	94	5	x	x	X
ejpam-6222	94	6	=	=	SYM
ejpam-6222	94	7	0	0	PUNCT
ejpam-6222	94	8	if	if	SCONJ
ejpam-6222	94	9	x	x	PRON
ejpam-6222	94	10	is	be	AUX
ejpam-6222	94	11	an	an	DET
ejpam-6222	94	12	integer	integer	NOUN
ejpam-6222	94	13	.	.	PUNCT
ejpam-6222	95	1	a	a	DET
ejpam-6222	95	2	reciprocal	reciprocal	ADJ
ejpam-6222	95	3	fractional	fractional	ADJ
ejpam-6222	95	4	part	part	NOUN
ejpam-6222	95	5	function	function	NOUN
ejpam-6222	95	6	m.	m.	NOUN
ejpam-6222	95	7	palanikumar	palanikumar	PROPN
ejpam-6222	95	8	et	et	PROPN
ejpam-6222	95	9	al	al	PROPN
ejpam-6222	95	10	.	.	PUNCT
ejpam-6222	95	11	/	/	SYM
ejpam-6222	95	12	eur	eur	PROPN
ejpam-6222	95	13	.	.	PUNCT
ejpam-6222	96	1	j.	j.	PROPN
ejpam-6222	96	2	pure	pure	PROPN
ejpam-6222	96	3	appl	appl	PROPN
ejpam-6222	96	4	.	.	PROPN
ejpam-6222	96	5	math	math	PROPN
ejpam-6222	96	6	,	,	PUNCT
ejpam-6222	96	7	18	18	NUM
ejpam-6222	96	8	(	(	PUNCT
ejpam-6222	96	9	3	3	NUM
ejpam-6222	96	10	)	)	PUNCT
ejpam-6222	96	11	(	(	PUNCT
ejpam-6222	96	12	2025	2025	NUM
ejpam-6222	96	13	)	)	PUNCT
ejpam-6222	96	14	,	,	PUNCT
ejpam-6222	96	15	6222	6222	NUM
ejpam-6222	96	16	4	4	NUM
ejpam-6222	96	17	of	of	ADP
ejpam-6222	96	18	14	14	NUM
ejpam-6222	96	19	figure	figure	NOUN
ejpam-6222	96	20	1	1	NUM
ejpam-6222	96	21	:	:	PUNCT
ejpam-6222	96	22	a	a	DET
ejpam-6222	96	23	generalizations	generalization	NOUN
ejpam-6222	96	24	of	of	ADP
ejpam-6222	96	25	the	the	DET
ejpam-6222	96	26	fuzzy	fuzzy	ADJ
ejpam-6222	96	27	set	set	NOUN
ejpam-6222	96	28	.	.	PUNCT
ejpam-6222	97	1	m(x	m(x	X
ejpam-6222	97	2	)	)	PUNCT
ejpam-6222	98	1	=	=	SYM
ejpam-6222	98	2	1	1	NUM
ejpam-6222	98	3	x	x	X
ejpam-6222	98	4	=	=	NOUN
ejpam-6222	98	5	∝	∝	PROPN
ejpam-6222	98	6	is	be	AUX
ejpam-6222	98	7	assumed	assume	VERB
ejpam-6222	98	8	.	.	PUNCT
ejpam-6222	99	1	every	every	DET
ejpam-6222	99	2	time	time	NOUN
ejpam-6222	99	3	x	x	PART
ejpam-6222	99	4	is	be	AUX
ejpam-6222	99	5	an	an	DET
ejpam-6222	99	6	integer	integer	NOUN
ejpam-6222	99	7	,	,	PUNCT
ejpam-6222	99	8	its	its	PRON
ejpam-6222	99	9	fractional	fractional	ADJ
ejpam-6222	99	10	component	component	NOUN
ejpam-6222	99	11	equals	equal	VERB
ejpam-6222	99	12	zero	zero	NUM
ejpam-6222	99	13	,	,	PUNCT
ejpam-6222	99	14	as	as	SCONJ
ejpam-6222	99	15	is	be	AUX
ejpam-6222	99	16	commonly	commonly	ADV
ejpam-6222	99	17	known	know	VERB
ejpam-6222	99	18	.	.	PUNCT
ejpam-6222	100	1	for	for	ADP
ejpam-6222	100	2	m(x	m(x	PROPN
ejpam-6222	100	3	)	)	PUNCT
ejpam-6222	100	4	=	=	SYM
ejpam-6222	100	5	1	1	NUM
ejpam-6222	100	6	x	x	X
ejpam-6222	100	7	=	=	NOUN
ejpam-6222	100	8	∝	∝	NOUN
ejpam-6222	100	9	to	to	PART
ejpam-6222	100	10	be	be	AUX
ejpam-6222	100	11	defined	define	VERB
ejpam-6222	100	12	,	,	PUNCT
ejpam-6222	100	13	x	x	PRON
ejpam-6222	100	14	must	must	AUX
ejpam-6222	100	15	not	not	PART
ejpam-6222	100	16	be	be	AUX
ejpam-6222	100	17	an	an	DET
ejpam-6222	100	18	integer	integer	NOUN
ejpam-6222	100	19	.	.	PUNCT
ejpam-6222	101	1	all	all	DET
ejpam-6222	101	2	real	real	ADJ
ejpam-6222	101	3	numbers	number	NOUN
ejpam-6222	101	4	,	,	PUNCT
ejpam-6222	101	5	except	except	SCONJ
ejpam-6222	101	6	integers	integer	NOUN
ejpam-6222	101	7	,	,	PUNCT
ejpam-6222	101	8	fall	fall	VERB
ejpam-6222	101	9	inside	inside	ADP
ejpam-6222	101	10	the	the	DET
ejpam-6222	101	11	domain	domain	NOUN
ejpam-6222	101	12	of	of	ADP
ejpam-6222	101	13	m(x	m(x	PROPN
ejpam-6222	101	14	)	)	PUNCT
ejpam-6222	102	1	=	=	VERB
ejpam-6222	102	2	∝.	∝.	VERB
ejpam-6222	102	3	the	the	DET
ejpam-6222	102	4	concept	concept	NOUN
ejpam-6222	102	5	of	of	ADP
ejpam-6222	102	6	a	a	DET
ejpam-6222	102	7	complex	complex	ADJ
ejpam-6222	102	8	sine	sine	NOUN
ejpam-6222	102	9	trigonometric	trigonometric	ADJ
ejpam-6222	102	10	rfffn	rfffn	NOUN
ejpam-6222	102	11	is	be	AUX
ejpam-6222	102	12	presented	present	VERB
ejpam-6222	102	13	.	.	PUNCT
ejpam-6222	103	1	this	this	PRON
ejpam-6222	103	2	led	lead	VERB
ejpam-6222	103	3	to	to	ADP
ejpam-6222	103	4	the	the	DET
ejpam-6222	103	5	establishment	establishment	NOUN
ejpam-6222	103	6	of	of	ADP
ejpam-6222	103	7	sinπ/2	sinπ/2	PROPN
ejpam-6222	103	8	=	=	SYM
ejpam-6222	103	9	λ	λ	PROPN
ejpam-6222	103	10	,	,	PUNCT
ejpam-6222	103	11	the	the	DET
ejpam-6222	103	12	csrfffn	csrfffn	NOUN
ejpam-6222	103	13	,	,	PUNCT
ejpam-6222	103	14	and	and	CCONJ
ejpam-6222	103	15	its	its	PRON
ejpam-6222	103	16	functions	function	NOUN
ejpam-6222	103	17	.	.	PUNCT
ejpam-6222	104	1	definition	definition	NOUN
ejpam-6222	104	2	1	1	NUM
ejpam-6222	104	3	.	.	PUNCT
ejpam-6222	105	1	the	the	DET
ejpam-6222	105	2	csrfff	csrfff	NOUN
ejpam-6222	105	3	set	set	VERB
ejpam-6222	105	4	υ	υ	PROPN
ejpam-6222	105	5	=	=	SYM
ejpam-6222	105	6	{	{	PUNCT
ejpam-6222	105	7	τ	τ	PROPN
ejpam-6222	105	8	,	,	PUNCT
ejpam-6222	105	9	⟨	⟨	VERB
ejpam-6222	105	10	⌊	⌊	PROPN
ejpam-6222	105	11	⌊λr⌋(τ	⌊λr⌋(τ	NUM
ejpam-6222	105	12	)	)	PUNCT
ejpam-6222	105	13	·	·	PUNCT
ejpam-6222	105	14	e⌊λi⌋(τ),⌊λ	e⌊λi⌋(τ),⌊λ	VERB
ejpam-6222	105	15	℧	℧	PROPN
ejpam-6222	105	16	⌋(τ)·e⌊λλ⌋(τ)⌋⟩|τ	⌋(τ)·e⌊λλ⌋(τ)⌋⟩|τ	PROPN
ejpam-6222	105	17	∈	∈	PROPN
ejpam-6222	105	18	a	a	PRON
ejpam-6222	105	19	}	}	PUNCT
ejpam-6222	105	20	,	,	PUNCT
ejpam-6222	105	21	where	where	SCONJ
ejpam-6222	105	22	⌊λr⌋	⌊λr⌋	NUM
ejpam-6222	105	23	,	,	PUNCT
ejpam-6222	105	24	⌊λ	⌊λ	NOUN
ejpam-6222	105	25	℧	℧	PROPN
ejpam-6222	105	26	⌋	⌋	NOUN
ejpam-6222	105	27	:	:	PUNCT
ejpam-6222	105	28	a	a	DET
ejpam-6222	105	29	→	→	SYM
ejpam-6222	105	30	⌊0	⌊0	NOUN
ejpam-6222	105	31	,	,	PUNCT
ejpam-6222	105	32	1⌋	1⌋	NUM
ejpam-6222	105	33	denote	denote	VERB
ejpam-6222	105	34	the	the	DET
ejpam-6222	105	35	mg	mg	PROPN
ejpam-6222	105	36	and	and	CCONJ
ejpam-6222	105	37	nmg	nmg	NOUN
ejpam-6222	105	38	of	of	ADP
ejpam-6222	105	39	τ	τ	PROPN
ejpam-6222	105	40	∈	∈	PROPN
ejpam-6222	105	41	a	a	DET
ejpam-6222	105	42	to	to	ADP
ejpam-6222	105	43	υ	υ	NOUN
ejpam-6222	105	44	,	,	PUNCT
ejpam-6222	105	45	respectively	respectively	ADV
ejpam-6222	105	46	and	and	CCONJ
ejpam-6222	105	47	0	0	NUM
ejpam-6222	105	48	≤	≤	NUM
ejpam-6222	105	49	⌊⌊λr⌋(τ)⌋∝	⌊⌊λr⌋(τ)⌋∝	NOUN
ejpam-6222	105	50	+	+	CCONJ
ejpam-6222	105	51	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	105	52	℧	℧	NOUN
ejpam-6222	105	53	⌋(τ)⌋∝	⌋(τ)⌋∝	PROPN
ejpam-6222	105	54	≤	≤	NUM
ejpam-6222	105	55	1	1	NUM
ejpam-6222	105	56	and	and	CCONJ
ejpam-6222	105	57	0	0	NUM
ejpam-6222	105	58	≤	≤	NUM
ejpam-6222	105	59	⌊⌊λi⌋(τ)⌋∝	⌊⌊λi⌋(τ)⌋∝	NOUN
ejpam-6222	105	60	+	+	CCONJ
ejpam-6222	105	61	⌊⌊λλ⌋(τ)⌋∝	⌊⌊λλ⌋(τ)⌋∝	NOUN
ejpam-6222	105	62	≤	≤	NUM
ejpam-6222	105	63	1	1	NUM
ejpam-6222	105	64	.	.	PUNCT
ejpam-6222	106	1	for	for	ADP
ejpam-6222	106	2	,	,	PUNCT
ejpam-6222	106	3	υ	υ	PROPN
ejpam-6222	106	4	=	=	PUNCT
ejpam-6222	106	5	〈	〈	PROPN
ejpam-6222	106	6	⌊	⌊	PROPN
ejpam-6222	106	7	⌊λr⌋	⌊λr⌋	X
ejpam-6222	106	8	·	·	PUNCT
ejpam-6222	106	9	e⌊λi⌋	e⌊λi⌋	NOUN
ejpam-6222	106	10	,	,	PUNCT
ejpam-6222	106	11	⌊λ	⌊λ	NOUN
ejpam-6222	106	12	℧	℧	PROPN
ejpam-6222	106	13	⌋	⌋	NOUN
ejpam-6222	106	14	·	·	PUNCT
ejpam-6222	106	15	e⌊λλ⌋	e⌊λλ⌋	NOUN
ejpam-6222	106	16	⌋	⌋	NOUN
ejpam-6222	106	17	〉	〉	NOUN
ejpam-6222	106	18	is	be	AUX
ejpam-6222	106	19	represent	represent	VERB
ejpam-6222	106	20	a	a	DET
ejpam-6222	106	21	csrfffn	csrfffn	NOUN
ejpam-6222	106	22	.	.	PUNCT
ejpam-6222	107	1	example	example	NOUN
ejpam-6222	108	1	1	1	NUM
ejpam-6222	108	2	.	.	X
ejpam-6222	108	3	consider	consider	VERB
ejpam-6222	108	4	the	the	DET
ejpam-6222	108	5	csrfff	csrfff	NOUN
ejpam-6222	108	6	set	set	VERB
ejpam-6222	108	7	υ	υ	NOUN
ejpam-6222	108	8	=	=	SYM
ejpam-6222	108	9	{	{	PUNCT
ejpam-6222	108	10	y1	y1	PROPN
ejpam-6222	108	11	,	,	PUNCT
ejpam-6222	108	12	y2	y2	PROPN
ejpam-6222	108	13	,	,	PUNCT
ejpam-6222	108	14	y3	y3	PROPN
ejpam-6222	108	15	,	,	PUNCT
ejpam-6222	108	16	y4	y4	PROPN
ejpam-6222	108	17	}	}	PUNCT
ejpam-6222	108	18	and	and	CCONJ
ejpam-6222	108	19	a	a	DET
ejpam-6222	108	20	=	=	X
ejpam-6222	108	21	{	{	PUNCT
ejpam-6222	108	22	(	(	PUNCT
ejpam-6222	108	23	y1	y1	INTJ
ejpam-6222	108	24	,	,	PUNCT
ejpam-6222	108	25	0.6eiπ(0.45	0.6eiπ(0.45	NOUN
ejpam-6222	108	26	)	)	PUNCT
ejpam-6222	108	27	,	,	PUNCT
ejpam-6222	108	28	0.55eiπ(0.65	0.55eiπ(0.65	NUM
ejpam-6222	108	29	)	)	PUNCT
ejpam-6222	108	30	)	)	PUNCT
ejpam-6222	108	31	,	,	PUNCT
ejpam-6222	108	32	(	(	PUNCT
ejpam-6222	108	33	y2	y2	INTJ
ejpam-6222	108	34	,	,	PUNCT
ejpam-6222	108	35	0.5e	0.5e	NUM
ejpam-6222	108	36	iπ(0.4	iπ(0.4	NOUN
ejpam-6222	108	37	)	)	PUNCT
ejpam-6222	108	38	,	,	PUNCT
ejpam-6222	108	39	0.55eiπ(0.7	0.55eiπ(0.7	NUM
ejpam-6222	108	40	)	)	PUNCT
ejpam-6222	108	41	)	)	PUNCT
ejpam-6222	108	42	,	,	PUNCT
ejpam-6222	108	43	(	(	PUNCT
ejpam-6222	108	44	y3	y3	NOUN
ejpam-6222	108	45	,	,	PUNCT
ejpam-6222	108	46	0.65e	0.65e	PROPN
ejpam-6222	108	47	iπ(0.55	iπ(0.55	NOUN
ejpam-6222	108	48	)	)	PUNCT
ejpam-6222	108	49	,	,	PUNCT
ejpam-6222	108	50	0.45eiπ(0.65	0.45eiπ(0.65	NUM
ejpam-6222	108	51	)	)	PUNCT
ejpam-6222	108	52	)	)	PUNCT
ejpam-6222	108	53	,	,	PUNCT
ejpam-6222	108	54	(	(	PUNCT
ejpam-6222	108	55	y4	y4	X
ejpam-6222	108	56	,	,	PUNCT
ejpam-6222	108	57	0.35e	0.35e	PROPN
ejpam-6222	108	58	iπ(0.6	iπ(0.6	PROPN
ejpam-6222	108	59	)	)	PUNCT
ejpam-6222	108	60	,	,	PUNCT
ejpam-6222	108	61	0.65eiπ(0.7	0.65eiπ(0.7	NUM
ejpam-6222	108	62	)	)	PUNCT
ejpam-6222	108	63	)	)	PUNCT
ejpam-6222	108	64	}	}	PUNCT
ejpam-6222	108	65	.	.	PUNCT
ejpam-6222	109	1	definition	definition	NOUN
ejpam-6222	109	2	2	2	NUM
ejpam-6222	109	3	.	.	PUNCT
ejpam-6222	110	1	let	let	VERB
ejpam-6222	110	2	υ	υ	NOUN
ejpam-6222	110	3	=	=	NOUN
ejpam-6222	110	4	⟨⌊⌊λr⌋	⟨⌊⌊λr⌋	X
ejpam-6222	110	5	·	·	PUNCT
ejpam-6222	110	6	e⌊λi⌋	e⌊λi⌋	ADJ
ejpam-6222	110	7	,	,	PUNCT
ejpam-6222	110	8	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	110	9	℧	℧	PROPN
ejpam-6222	110	10	⌋⌋	⌋⌋	NOUN
ejpam-6222	110	11	·	·	PUNCT
ejpam-6222	111	1	e⌊λλ⌋⌋⟩,υ1	e⌊λλ⌋⌋⟩,υ1	NOUN
ejpam-6222	111	2	=	=	PUNCT
ejpam-6222	111	3	⟨⌊⌊λr1⌋	⟨⌊⌊λr1⌋	PROPN
ejpam-6222	111	4	·	·	PUNCT
ejpam-6222	111	5	e⌊λi1⌋	e⌊λi1⌋	ADJ
ejpam-6222	111	6	,	,	PUNCT
ejpam-6222	111	7	⌊λ	⌊λ	NOUN
ejpam-6222	111	8	℧	℧	PROPN
ejpam-6222	111	9	1⌋	1⌋	PROPN
ejpam-6222	111	10	·	·	PUNCT
ejpam-6222	111	11	e⌊λλ1⌋⌋⟩,υ2	e⌊λλ1⌋⌋⟩,υ2	PUNCT
ejpam-6222	111	12	=	=	PUNCT
ejpam-6222	111	13	⟨⌊⌊λr2⌋	⟨⌊⌊λr2⌋	PROPN
ejpam-6222	111	14	·	·	PUNCT
ejpam-6222	111	15	e⌊λi2⌋	e⌊λi2⌋	PROPN
ejpam-6222	111	16	,	,	PUNCT
ejpam-6222	111	17	⌊λ	⌊λ	NOUN
ejpam-6222	111	18	℧	℧	PROPN
ejpam-6222	111	19	2⌋	2⌋	NOUN
ejpam-6222	111	20	·	·	PUNCT
ejpam-6222	111	21	e⌊λλ2⌋⌋⟩	e⌊λλ2⌋⌋⟩	INTJ
ejpam-6222	111	22	be	be	AUX
ejpam-6222	111	23	any	any	DET
ejpam-6222	111	24	three	three	NUM
ejpam-6222	111	25	csrfffns	csrfffns	NOUN
ejpam-6222	111	26	.	.	PUNCT
ejpam-6222	112	1	then	then	ADV
ejpam-6222	112	2	(	(	PUNCT
ejpam-6222	112	3	i	i	NOUN
ejpam-6222	112	4	)	)	PUNCT
ejpam-6222	112	5	υ1∇υ2	υ1∇υ2	PRON
ejpam-6222	112	6	=	=	PUNCT
ejpam-6222	112	7			PROPN
ejpam-6222	112	8	∝	∝	NOUN
ejpam-6222	112	9	√	√	NUM
ejpam-6222	112	10	⌊⌊λr1⌋⌋∝	⌊⌊λr1⌋⌋∝	PUNCT
ejpam-6222	112	11	+	+	CCONJ
ejpam-6222	112	12	⌊⌊λr2⌋⌋∝	⌊⌊λr2⌋⌋∝	NUM
ejpam-6222	112	13	−⌊⌊λr1⌋⌋∝	−⌊⌊λr1⌋⌋∝	X
ejpam-6222	112	14	·	·	PUNCT
ejpam-6222	112	15	⌊⌊λr2⌋⌋∝	⌊⌊λr2⌋⌋∝	PUNCT
ejpam-6222	112	16	·	·	PUNCT
ejpam-6222	113	1	e	e	X
ejpam-6222	113	2	∝	∝	PROPN
ejpam-6222	113	3	√√√√√	√√√√√	X
ejpam-6222	113	4	⌊⌊λi1⌋⌋∝	⌊⌊λi1⌋⌋∝	PUNCT
ejpam-6222	113	5	+	+	NUM
ejpam-6222	113	6	⌊⌊λi2⌋⌋∝	⌊⌊λi2⌋⌋∝	PUNCT
ejpam-6222	113	7	−⌊⌊λi1⌋⌋∝	−⌊⌊λi1⌋⌋∝	NOUN
ejpam-6222	113	8	·	·	PUNCT
ejpam-6222	113	9	⌊⌊λi2⌋⌋∝	⌊⌊λi2⌋⌋∝	PUNCT
ejpam-6222	113	10	,	,	PUNCT
ejpam-6222	113	11	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	113	12	℧	℧	PROPN
ejpam-6222	113	13	1⌋⌋∝⌊⌊λ	1⌋⌋∝⌊⌊λ	NUM
ejpam-6222	113	14	℧	℧	PROPN
ejpam-6222	113	15	2⌋⌋∝	2⌋⌋∝	PROPN
ejpam-6222	113	16	·	·	PUNCT
ejpam-6222	114	1	e⌊⌊λλ1⌋⌋∝⌊⌊λλ2⌋⌋∝	e⌊⌊λλ1⌋⌋∝⌊⌊λλ2⌋⌋∝	NOUN
ejpam-6222	114	2			ADJ
ejpam-6222	114	3	,	,	PUNCT
ejpam-6222	114	4	(	(	PUNCT
ejpam-6222	114	5	ii	ii	NOUN
ejpam-6222	114	6	)	)	PUNCT
ejpam-6222	114	7	υ1	υ1	PROPN
ejpam-6222	114	8	◦	◦	NOUN
ejpam-6222	114	9	υ2	υ2	NOUN
ejpam-6222	114	10	=	=	SYM
ejpam-6222	114	11			NOUN
ejpam-6222	114	12	⌊⌊λr1⌋⌋∝⌊⌊λr2⌋⌋∝	⌊⌊λr1⌋⌋∝⌊⌊λr2⌋⌋∝	NOUN
ejpam-6222	114	13	·	·	PUNCT
ejpam-6222	114	14	e⌊⌊λi1⌋⌋∝⌊⌊λi2⌋⌋∝	e⌊⌊λi1⌋⌋∝⌊⌊λi2⌋⌋∝	NOUN
ejpam-6222	114	15	,	,	PUNCT
ejpam-6222	114	16	∝	∝	PROPN
ejpam-6222	114	17	√	√	NUM
ejpam-6222	114	18	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	114	19	℧	℧	PROPN
ejpam-6222	114	20	1⌋⌋∝	1⌋⌋∝	PROPN
ejpam-6222	114	21	+	+	NUM
ejpam-6222	114	22	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	114	23	℧	℧	PROPN
ejpam-6222	114	24	2⌋⌋∝	2⌋⌋∝	NUM
ejpam-6222	114	25	−⌊⌊λ	−⌊⌊λ	PUNCT
ejpam-6222	114	26	℧	℧	PROPN
ejpam-6222	114	27	1⌋⌋∝	1⌋⌋∝	NUM
ejpam-6222	114	28	·	·	PUNCT
ejpam-6222	114	29	⌊⌊λ	⌊⌊λ	VERB
ejpam-6222	114	30	℧	℧	PROPN
ejpam-6222	114	31	2⌋⌋∝	2⌋⌋∝	NUM
ejpam-6222	114	32	·	·	PUNCT
ejpam-6222	114	33	e	e	X
ejpam-6222	114	34	∝	∝	PROPN
ejpam-6222	114	35	√√√√√	√√√√√	PROPN
ejpam-6222	114	36	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	114	37	℧	℧	PROPN
ejpam-6222	114	38	1⌋⌋∝	1⌋⌋∝	NUM
ejpam-6222	114	39	+	+	ADP
ejpam-6222	114	40	⌊⌊λλ2⌋⌋∝	⌊⌊λλ2⌋⌋∝	X
ejpam-6222	114	41	−⌊⌊λ	−⌊⌊λ	PUNCT
ejpam-6222	114	42	℧	℧	PROPN
ejpam-6222	114	43	1⌋⌋∝	1⌋⌋∝	NUM
ejpam-6222	114	44	·	·	PUNCT
ejpam-6222	114	45	⌊⌊λλ2⌋⌋∝	⌊⌊λλ2⌋⌋∝	NUM
ejpam-6222	114	46			X
ejpam-6222	114	47	(	(	PUNCT
ejpam-6222	114	48	iii	iii	NOUN
ejpam-6222	114	49	)	)	PUNCT
ejpam-6222	114	50	℘	℘	PROPN
ejpam-6222	114	51	·	·	SYM
ejpam-6222	114	52	υ	υ	PRON
ejpam-6222	114	53	=	=	PUNCT
ejpam-6222	114	54			PROPN
ejpam-6222	114	55	∝	∝	NOUN
ejpam-6222	114	56	√	√	PROPN
ejpam-6222	114	57	p	p	NOUN
ejpam-6222	114	58	−	−	PROPN
ejpam-6222	114	59	⌊	⌊	PROPN
ejpam-6222	114	60	p	p	X
ejpam-6222	114	61	−⌊λ⌊r⌋∝	−⌊λ⌊r⌋∝	X
ejpam-6222	114	62	⌋℘	⌋℘	X
ejpam-6222	114	63	·	·	PUNCT
ejpam-6222	115	1	e	e	X
ejpam-6222	115	2	∝	∝	NOUN
ejpam-6222	115	3	√	√	VERB
ejpam-6222	115	4	p−	p−	AUX
ejpam-6222	115	5	⌊	⌊	AUX
ejpam-6222	115	6	p−⌊λ⌊i⌋∝	p−⌊λ⌊i⌋∝	VERB
ejpam-6222	115	7	⌋℘	⌋℘	PROPN
ejpam-6222	115	8	,	,	PUNCT
ejpam-6222	115	9	⌊⌊λ⌊	⌊⌊λ⌊	PROPN
ejpam-6222	115	10	℧	℧	PROPN
ejpam-6222	115	11	⌋∝⌋℘	⌋∝⌋℘	PRON
ejpam-6222	115	12	·	·	PUNCT
ejpam-6222	115	13	e⌊⌊λ⌊λ⌋∝⌋℘	e⌊⌊λ⌊λ⌋∝⌋℘	NOUN
ejpam-6222	115	14			NOUN
ejpam-6222	115	15	m.	m.	NOUN
ejpam-6222	115	16	palanikumar	palanikumar	PROPN
ejpam-6222	115	17	et	et	PROPN
ejpam-6222	115	18	al	al	PROPN
ejpam-6222	115	19	.	.	PUNCT
ejpam-6222	115	20	/	/	SYM
ejpam-6222	115	21	eur	eur	PROPN
ejpam-6222	115	22	.	.	PUNCT
ejpam-6222	116	1	j.	j.	PROPN
ejpam-6222	116	2	pure	pure	PROPN
ejpam-6222	116	3	appl	appl	PROPN
ejpam-6222	116	4	.	.	PROPN
ejpam-6222	116	5	math	math	PROPN
ejpam-6222	116	6	,	,	PUNCT
ejpam-6222	116	7	18	18	NUM
ejpam-6222	116	8	(	(	PUNCT
ejpam-6222	116	9	3	3	NUM
ejpam-6222	116	10	)	)	PUNCT
ejpam-6222	116	11	(	(	PUNCT
ejpam-6222	116	12	2025	2025	NUM
ejpam-6222	116	13	)	)	PUNCT
ejpam-6222	116	14	,	,	PUNCT
ejpam-6222	116	15	6222	6222	NUM
ejpam-6222	116	16	5	5	NUM
ejpam-6222	116	17	of	of	ADP
ejpam-6222	116	18	14	14	NUM
ejpam-6222	116	19	(	(	PUNCT
ejpam-6222	116	20	iv	iv	NOUN
ejpam-6222	116	21	)	)	PUNCT
ejpam-6222	116	22	υ℘	υ℘	NOUN
ejpam-6222	117	1	=	=	SYM
ejpam-6222	117	2			PROPN
ejpam-6222	117	3	⌊⌊λ⌊r⌋∝⌋℘	⌊⌊λ⌊r⌋∝⌋℘	X
ejpam-6222	117	4	·	·	PUNCT
ejpam-6222	117	5	e⌊⌊λ⌊i⌋∝⌋℘	e⌊⌊λ⌊i⌋∝⌋℘	NOUN
ejpam-6222	117	6	,	,	PUNCT
ejpam-6222	117	7	∝	∝	PROPN
ejpam-6222	117	8	√	√	PROPN
ejpam-6222	117	9	p	p	NOUN
ejpam-6222	117	10	−	−	PROPN
ejpam-6222	117	11	⌊	⌊	X
ejpam-6222	117	12	p	p	NOUN
ejpam-6222	117	13	−⌊λ⌊	−⌊λ⌊	NOUN
ejpam-6222	117	14	℧	℧	NOUN
ejpam-6222	117	15	⌋∝	⌋∝	X
ejpam-6222	117	16	⌋℘	⌋℘	X
ejpam-6222	117	17	·	·	PUNCT
ejpam-6222	117	18	e	e	X
ejpam-6222	117	19	∝	∝	NOUN
ejpam-6222	117	20	√	√	VERB
ejpam-6222	117	21	p−	p−	NOUN
ejpam-6222	117	22	⌊	⌊	PART
ejpam-6222	117	23	p−⌊λ⌊λ⌋∝	p−⌊λ⌊λ⌋∝	VERB
ejpam-6222	117	24	⌋℘	⌋℘	NOUN
ejpam-6222	117	25			NOUN
ejpam-6222	117	26	.	.	PUNCT
ejpam-6222	118	1	definition	definition	NOUN
ejpam-6222	118	2	3	3	NUM
ejpam-6222	118	3	.	.	PUNCT
ejpam-6222	119	1	for	for	ADP
ejpam-6222	119	2	any	any	DET
ejpam-6222	119	3	two	two	NUM
ejpam-6222	119	4	csrfffns	csrfffns	NOUN
ejpam-6222	119	5	υ1	υ1	NOUN
ejpam-6222	119	6	=	=	SYM
ejpam-6222	119	7	⟨⌊⌊⌊λr1⌋	⟨⌊⌊⌊λr1⌋	PROPN
ejpam-6222	119	8	,	,	PUNCT
ejpam-6222	119	9	⌊λ	⌊λ	NOUN
ejpam-6222	119	10	℧	℧	PROPN
ejpam-6222	119	11	1⌋⌋⌋⟩	1⌋⌋⌋⟩	NOUN
ejpam-6222	119	12	and	and	CCONJ
ejpam-6222	119	13	υ2	υ2	PROPN
ejpam-6222	119	14	=	=	SYM
ejpam-6222	119	15	⟨⌊⌊⌊λr2⌋	⟨⌊⌊⌊λr2⌋	PROPN
ejpam-6222	119	16	,	,	PUNCT
ejpam-6222	119	17	⌊λ	⌊λ	PUNCT
ejpam-6222	119	18	℧	℧	NOUN
ejpam-6222	119	19	2⌋⌋⌋⟩.	2⌋⌋⌋⟩.	NOUN
ejpam-6222	119	20	then	then	ADV
ejpam-6222	119	21	de⌊υ1,υ2⌋	de⌊υ1,υ2⌋	NOUN
ejpam-6222	119	22	=	=	SYM
ejpam-6222	119	23	√√√√1	√√√√1	NOUN
ejpam-6222	119	24	2	2	NUM
ejpam-6222	120	1	[	[	X
ejpam-6222	120	2	[	[	PUNCT
ejpam-6222	120	3	p	p	X
ejpam-6222	120	4	+	+	NOUN
ejpam-6222	120	5	⌊⌊λr1⌋⌋2	⌊⌊λr1⌋⌋2	VERB
ejpam-6222	120	6	−	−	PROPN
ejpam-6222	120	7	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	120	8	℧	℧	PROPN
ejpam-6222	120	9	1⌋⌋2	1⌋⌋2	NUM
ejpam-6222	120	10	−	−	NOUN
ejpam-6222	120	11	⌊	⌊	X
ejpam-6222	120	12	p	p	X
ejpam-6222	120	13	+	+	NOUN
ejpam-6222	120	14	⌊⌊λr2⌋⌋2	⌊⌊λr2⌋⌋2	VERB
ejpam-6222	120	15	−	−	PROPN
ejpam-6222	120	16	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	120	17	℧	℧	PROPN
ejpam-6222	120	18	2⌋⌋2	2⌋⌋2	NUM
ejpam-6222	120	19	⌋]2	⌋]2	PUNCT
ejpam-6222	121	1	+	+	PUNCT
ejpam-6222	121	2	[	[	PUNCT
ejpam-6222	121	3	⌊⌊λi1⌋⌋2	⌊⌊λi1⌋⌋2	X
ejpam-6222	121	4	−	−	PROPN
ejpam-6222	121	5	⌊⌊λλ1⌋⌋2	⌊⌊λλ1⌋⌋2	NUM
ejpam-6222	121	6	−	−	PROPN
ejpam-6222	122	1	⌊	⌊	PROPN
ejpam-6222	122	2	⌊⌊λi2⌋⌋2	⌊⌊λi2⌋⌋2	VERB
ejpam-6222	122	3	−	−	PROPN
ejpam-6222	122	4	⌊⌊λλ2⌋⌋2	⌊⌊λλ2⌋⌋2	X
ejpam-6222	122	5	⌋]2	⌋]2	PROPN
ejpam-6222	122	6	]	]	PUNCT
ejpam-6222	122	7	where	where	SCONJ
ejpam-6222	122	8	de⌊υ1,υ2⌋	de⌊υ1,υ2⌋	PROPN
ejpam-6222	122	9	is	be	AUX
ejpam-6222	122	10	called	call	VERB
ejpam-6222	122	11	the	the	DET
ejpam-6222	122	12	ed	ed	NOUN
ejpam-6222	122	13	between	between	ADP
ejpam-6222	122	14	υ1	υ1	PROPN
ejpam-6222	122	15	and	and	CCONJ
ejpam-6222	122	16	υ2	υ2	NOUN
ejpam-6222	122	17	.	.	PUNCT
ejpam-6222	123	1	dh⌊υ1,υ2⌋	dh⌊υ1,υ2⌋	NOUN
ejpam-6222	123	2	=	=	NOUN
ejpam-6222	123	3	1	1	NUM
ejpam-6222	123	4	2	2	NUM
ejpam-6222	124	1	[	[	X
ejpam-6222	124	2	∣∣∣∣∣	∣∣∣∣∣	X
ejpam-6222	124	3	p	p	X
ejpam-6222	124	4	+	+	NOUN
ejpam-6222	124	5	⌊⌊λr1⌋⌋2	⌊⌊λr1⌋⌋2	VERB
ejpam-6222	124	6	−	−	PROPN
ejpam-6222	124	7	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	124	8	℧	℧	PROPN
ejpam-6222	124	9	1⌋⌋2	1⌋⌋2	NUM
ejpam-6222	124	10	−	−	NOUN
ejpam-6222	124	11	⌊	⌊	X
ejpam-6222	124	12	p	p	X
ejpam-6222	124	13	+	+	NOUN
ejpam-6222	124	14	⌊⌊λr2⌋⌋2	⌊⌊λr2⌋⌋2	VERB
ejpam-6222	124	15	−	−	PROPN
ejpam-6222	124	16	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	124	17	℧	℧	PROPN
ejpam-6222	124	18	2⌋⌋2	2⌋⌋2	NUM
ejpam-6222	124	19	⌋∣∣∣∣∣+	⌋∣∣∣∣∣+	NUM
ejpam-6222	124	20	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-6222	124	21	⌊⌊λi1⌋⌋2	⌊⌊λi1⌋⌋2	X
ejpam-6222	124	22	−	−	PROPN
ejpam-6222	124	23	⌊⌊λλ1⌋⌋2⌊	⌊⌊λλ1⌋⌋2⌊	PROPN
ejpam-6222	124	24	−⌊⌊λi2⌋⌋2	−⌊⌊λi2⌋⌋2	NOUN
ejpam-6222	124	25	−	−	PROPN
ejpam-6222	124	26	⌊⌊λλ2⌋⌋2	⌊⌊λλ2⌋⌋2	PUNCT
ejpam-6222	124	27	⌋∣∣∣∣∣	⌋∣∣∣∣∣	PROPN
ejpam-6222	124	28	]	]	PUNCT
ejpam-6222	124	29	where	where	SCONJ
ejpam-6222	124	30	dh⌊υ1,υ2⌋	dh⌊υ1,υ2⌋	PROPN
ejpam-6222	124	31	is	be	AUX
ejpam-6222	124	32	called	call	VERB
ejpam-6222	124	33	the	the	DET
ejpam-6222	124	34	hd	hd	NOUN
ejpam-6222	124	35	between	between	ADP
ejpam-6222	124	36	υ1	υ1	PROPN
ejpam-6222	124	37	and	and	CCONJ
ejpam-6222	124	38	υ2	υ2	NOUN
ejpam-6222	124	39	.	.	PUNCT
ejpam-6222	125	1	3	3	X
ejpam-6222	125	2	.	.	X
ejpam-6222	125	3	aos	aos	PROPN
ejpam-6222	125	4	based	base	VERB
ejpam-6222	125	5	on	on	ADP
ejpam-6222	125	6	csrfffn	csrfffn	NOUN
ejpam-6222	125	7	here	here	ADV
ejpam-6222	125	8	,	,	PUNCT
ejpam-6222	125	9	we	we	PRON
ejpam-6222	125	10	discuss	discuss	VERB
ejpam-6222	125	11	the	the	DET
ejpam-6222	125	12	concept	concept	NOUN
ejpam-6222	125	13	of	of	ADP
ejpam-6222	125	14	the	the	DET
ejpam-6222	125	15	csrfffnwa	csrfffnwa	NOUN
ejpam-6222	125	16	,	,	PUNCT
ejpam-6222	125	17	csrfffnwg	csrfffnwg	NOUN
ejpam-6222	125	18	,	,	PUNCT
ejpam-6222	125	19	gcsrfffnwa	gcsrfffnwa	ADJ
ejpam-6222	125	20	and	and	CCONJ
ejpam-6222	125	21	gcsrfffnwg	gcsrfffnwg	ADJ
ejpam-6222	125	22	operator	operator	NOUN
ejpam-6222	125	23	and	and	CCONJ
ejpam-6222	125	24	its	its	PRON
ejpam-6222	125	25	properties	property	NOUN
ejpam-6222	125	26	.	.	PUNCT
ejpam-6222	126	1	3.1	3.1	NUM
ejpam-6222	126	2	.	.	PUNCT
ejpam-6222	127	1	ctnwa	ctnwa	NOUN
ejpam-6222	127	2	definition	definition	NOUN
ejpam-6222	127	3	4	4	NUM
ejpam-6222	127	4	.	.	PUNCT
ejpam-6222	128	1	let	let	VERB
ejpam-6222	128	2	υi	υi	NOUN
ejpam-6222	128	3	=	=	NOUN
ejpam-6222	128	4	⟨⌊⌊⌊λri⌋	⟨⌊⌊⌊λri⌋	X
ejpam-6222	128	5	·	·	PUNCT
ejpam-6222	128	6	e⌊λii⌋	e⌊λii⌋	NOUN
ejpam-6222	128	7	,	,	PUNCT
ejpam-6222	128	8	⌊λ	⌊λ	PRON
ejpam-6222	128	9	℧	℧	PROPN
ejpam-6222	128	10	i⌋	i⌋	PROPN
ejpam-6222	128	11	·	·	PUNCT
ejpam-6222	128	12	e⌊λλi⌋⌋⌋⟩	e⌊λλi⌋⌋⌋⟩	NOUN
ejpam-6222	128	13	be	be	AUX
ejpam-6222	128	14	the	the	DET
ejpam-6222	128	15	csrfffns	csrfffns	NOUN
ejpam-6222	128	16	,	,	PUNCT
ejpam-6222	128	17	w	w	NOUN
ejpam-6222	128	18	=	=	NOUN
ejpam-6222	128	19	⌊ζ1	⌊ζ1	NOUN
ejpam-6222	128	20	,	,	PUNCT
ejpam-6222	128	21	ζ2	ζ2	NOUN
ejpam-6222	128	22	,	,	PUNCT
ejpam-6222	128	23	...	...	PUNCT
ejpam-6222	128	24	,	,	PUNCT
ejpam-6222	128	25	ζz⌋	ζz⌋	PROPN
ejpam-6222	128	26	be	be	VERB
ejpam-6222	128	27	the	the	DET
ejpam-6222	128	28	weight	weight	NOUN
ejpam-6222	128	29	of	of	ADP
ejpam-6222	128	30	υi	υi	PROPN
ejpam-6222	128	31	,	,	PUNCT
ejpam-6222	128	32	ζi	ζi	PROPN
ejpam-6222	128	33	≥	≥	NOUN
ejpam-6222	128	34	0	0	NUM
ejpam-6222	128	35	and	and	CCONJ
ejpam-6222	128	36	∇z	∇z	PROPN
ejpam-6222	128	37	i→1ζi	i→1ζi	NOUN
ejpam-6222	128	38	=	=	NOUN
ejpam-6222	129	1	1	1	X
ejpam-6222	129	2	.	.	PUNCT
ejpam-6222	130	1	then	then	ADV
ejpam-6222	130	2	the	the	DET
ejpam-6222	130	3	ao	ao	PROPN
ejpam-6222	130	4	is	be	AUX
ejpam-6222	130	5	defined	define	VERB
ejpam-6222	130	6	as	as	ADP
ejpam-6222	130	7	csrfffnwa	csrfffnwa	ADJ
ejpam-6222	130	8	⌊υ1,υ2	⌊υ1,υ2	ADV
ejpam-6222	130	9	,	,	PUNCT
ejpam-6222	130	10	...	...	PUNCT
ejpam-6222	130	11	,	,	PUNCT
ejpam-6222	130	12	υz⌋	υz⌋	NUM
ejpam-6222	130	13	=	=	SYM
ejpam-6222	130	14	∇z	∇z	PROPN
ejpam-6222	130	15	i→1ζiυi	i→1ζiυi	VERB
ejpam-6222	130	16	.	.	PUNCT
ejpam-6222	131	1	theorem	theorem	NOUN
ejpam-6222	131	2	1	1	NUM
ejpam-6222	131	3	.	.	PUNCT
ejpam-6222	132	1	let	let	VERB
ejpam-6222	132	2	υi	υi	NOUN
ejpam-6222	132	3	=	=	NOUN
ejpam-6222	132	4	〈	〈	PROPN
ejpam-6222	132	5	⌊⌊⌊λri⌋	⌊⌊⌊λri⌋	NOUN
ejpam-6222	132	6	·	·	PUNCT
ejpam-6222	132	7	e⌊λii⌋	e⌊λii⌋	NOUN
ejpam-6222	132	8	,	,	PUNCT
ejpam-6222	132	9	⌊λ	⌊λ	PRON
ejpam-6222	132	10	℧	℧	PROPN
ejpam-6222	132	11	i⌋	i⌋	PROPN
ejpam-6222	132	12	·	·	PUNCT
ejpam-6222	132	13	e⌊λλi⌋⌋⌋	e⌊λλi⌋⌋⌋	NOUN
ejpam-6222	132	14	〉	〉	NOUN
ejpam-6222	132	15	be	be	VERB
ejpam-6222	132	16	the	the	DET
ejpam-6222	132	17	csrfffns	csrfffns	NOUN
ejpam-6222	132	18	.	.	PUNCT
ejpam-6222	133	1	then	then	ADV
ejpam-6222	133	2	the	the	DET
ejpam-6222	133	3	ao	ao	PROPN
ejpam-6222	133	4	is	be	AUX
ejpam-6222	133	5	determined	determine	VERB
ejpam-6222	133	6	as	as	ADP
ejpam-6222	133	7	ctnwa⌊υ1,υ2	ctnwa⌊υ1,υ2	NOUN
ejpam-6222	133	8	,	,	PUNCT
ejpam-6222	133	9	...	...	PUNCT
ejpam-6222	133	10	,	,	PUNCT
ejpam-6222	133	11	υz⌋	υz⌋	NUM
ejpam-6222	133	12	=	=	SYM
ejpam-6222	133	13			PUNCT
ejpam-6222	133	14	∝	∝	NOUN
ejpam-6222	133	15	√	√	PROPN
ejpam-6222	133	16	p	p	PRON
ejpam-6222	133	17	−	−	PROPN
ejpam-6222	133	18	△	△	NOUN
ejpam-6222	133	19	z	z	NOUN
ejpam-6222	133	20	i→1	i→1	VERB
ejpam-6222	133	21	⌊	⌊	ADP
ejpam-6222	133	22	p	p	NOUN
ejpam-6222	133	23	−⌊⌊λri⌋⌋∝	−⌊⌊λri⌋⌋∝	PROPN
ejpam-6222	133	24	⌋ζi	⌋ζi	NOUN
ejpam-6222	133	25	·	·	PUNCT
ejpam-6222	134	1	e	e	X
ejpam-6222	134	2	∝	∝	NOUN
ejpam-6222	134	3	√	√	NUM
ejpam-6222	134	4	p−	p−	PROPN
ejpam-6222	134	5	△	△	NOUN
ejpam-6222	134	6	z	z	NOUN
ejpam-6222	134	7	i→1	i→1	VERB
ejpam-6222	134	8	⌊	⌊	PROPN
ejpam-6222	134	9	p−⌊⌊λii⌋⌋∝	p−⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	134	10	⌋ζi	⌋ζi	NOUN
ejpam-6222	134	11	,	,	PUNCT
ejpam-6222	134	12	△	△	PROPN
ejpam-6222	134	13	z	z	NOUN
ejpam-6222	134	14	i→1⌊⌊⌊λ	i→1⌊⌊⌊λ	PROPN
ejpam-6222	134	15	℧	℧	PROPN
ejpam-6222	134	16	i⌋⌋∝⌋ζi	i⌋⌋∝⌋ζi	PROPN
ejpam-6222	134	17	·	·	PUNCT
ejpam-6222	134	18	e	e	X
ejpam-6222	134	19	△	△	X
ejpam-6222	134	20	z	z	NOUN
ejpam-6222	134	21	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	NOUN
ejpam-6222	134	22			ADV
ejpam-6222	134	23	.	.	PUNCT
ejpam-6222	135	1	proof	proof	NOUN
ejpam-6222	135	2	.	.	PUNCT
ejpam-6222	136	1	if	if	SCONJ
ejpam-6222	136	2	n	n	NOUN
ejpam-6222	136	3	=	=	SYM
ejpam-6222	136	4	2	2	NUM
ejpam-6222	136	5	,	,	PUNCT
ejpam-6222	136	6	then	then	ADV
ejpam-6222	136	7	csrfffnwa⌊υ1,υ2⌋	csrfffnwa⌊υ1,υ2⌋	PROPN
ejpam-6222	136	8	=	=	SYM
ejpam-6222	137	1	ζ1υ1∇ζ2υ2	ζ1υ1∇ζ2υ2	PROPN
ejpam-6222	137	2	,	,	PUNCT
ejpam-6222	137	3	where	where	SCONJ
ejpam-6222	137	4	ζ1υ1	ζ1υ1	ADV
ejpam-6222	137	5	=	=	SYM
ejpam-6222	137	6			X
ejpam-6222	137	7	∝	∝	NOUN
ejpam-6222	137	8	√	√	PROPN
ejpam-6222	137	9	p	p	NOUN
ejpam-6222	137	10	−	−	PROPN
ejpam-6222	137	11	⌊	⌊	PROPN
ejpam-6222	137	12	p	p	NOUN
ejpam-6222	137	13	−⌊⌊λr1⌋⌋∝	−⌊⌊λr1⌋⌋∝	X
ejpam-6222	137	14	⌋ζ1	⌋ζ1	ADV
ejpam-6222	137	15	·	·	PUNCT
ejpam-6222	138	1	e	e	X
ejpam-6222	138	2	∝	∝	NOUN
ejpam-6222	138	3	√	√	VERB
ejpam-6222	138	4	p−	p−	NOUN
ejpam-6222	138	5	⌊	⌊	NOUN
ejpam-6222	138	6	p−⌊⌊λi1⌋⌋∝	p−⌊⌊λi1⌋⌋∝	NOUN
ejpam-6222	138	7	⌋ζ1	⌋ζ1	ADV
ejpam-6222	138	8	,	,	PUNCT
ejpam-6222	138	9	⌊⌊⌊λ	⌊⌊⌊λ	PROPN
ejpam-6222	138	10	℧	℧	PROPN
ejpam-6222	138	11	1⌋⌋∝⌋ζ1	1⌋⌋∝⌋ζ1	NUM
ejpam-6222	138	12	·	·	PUNCT
ejpam-6222	138	13	e⌊⌊⌊λλ1⌋⌋∝⌋ζ1	e⌊⌊⌊λλ1⌋⌋∝⌋ζ1	NOUN
ejpam-6222	138	14			NUM
ejpam-6222	138	15	m.	m.	NOUN
ejpam-6222	138	16	palanikumar	palanikumar	PROPN
ejpam-6222	138	17	et	et	PROPN
ejpam-6222	138	18	al	al	PROPN
ejpam-6222	138	19	.	.	PUNCT
ejpam-6222	138	20	/	/	SYM
ejpam-6222	138	21	eur	eur	PROPN
ejpam-6222	138	22	.	.	PUNCT
ejpam-6222	139	1	j.	j.	PROPN
ejpam-6222	139	2	pure	pure	PROPN
ejpam-6222	139	3	appl	appl	PROPN
ejpam-6222	139	4	.	.	PROPN
ejpam-6222	139	5	math	math	PROPN
ejpam-6222	139	6	,	,	PUNCT
ejpam-6222	139	7	18	18	NUM
ejpam-6222	139	8	(	(	PUNCT
ejpam-6222	139	9	3	3	NUM
ejpam-6222	139	10	)	)	PUNCT
ejpam-6222	139	11	(	(	PUNCT
ejpam-6222	139	12	2025	2025	NUM
ejpam-6222	139	13	)	)	PUNCT
ejpam-6222	139	14	,	,	PUNCT
ejpam-6222	139	15	6222	6222	NUM
ejpam-6222	139	16	6	6	NUM
ejpam-6222	139	17	of	of	ADP
ejpam-6222	139	18	14	14	NUM
ejpam-6222	139	19	ζ2υ2	ζ2υ2	NOUN
ejpam-6222	139	20	=	=	SYM
ejpam-6222	139	21			PUNCT
ejpam-6222	139	22	∝	∝	NOUN
ejpam-6222	139	23	√	√	PROPN
ejpam-6222	139	24	p	p	NOUN
ejpam-6222	139	25	−	−	PROPN
ejpam-6222	139	26	⌊	⌊	X
ejpam-6222	140	1	p	p	X
ejpam-6222	140	2	−⌊⌊λr2⌋⌋∝	−⌊⌊λr2⌋⌋∝	NOUN
ejpam-6222	140	3	⌋ζ2	⌋ζ2	PUNCT
ejpam-6222	140	4	·	·	PUNCT
ejpam-6222	141	1	e	e	X
ejpam-6222	141	2	∝	∝	NOUN
ejpam-6222	141	3	√	√	VERB
ejpam-6222	141	4	p−	p−	NOUN
ejpam-6222	141	5	⌊	⌊	NOUN
ejpam-6222	141	6	p−⌊⌊λi2⌋⌋∝	p−⌊⌊λi2⌋⌋∝	NOUN
ejpam-6222	141	7	⌋ζ2	⌋ζ2	PUNCT
ejpam-6222	141	8	,	,	PUNCT
ejpam-6222	141	9	⌊⌊⌊λ	⌊⌊⌊λ	PROPN
ejpam-6222	141	10	℧	℧	PROPN
ejpam-6222	141	11	2⌋⌋∝⌋ζ2	2⌋⌋∝⌋ζ2	NUM
ejpam-6222	141	12	·	·	PUNCT
ejpam-6222	141	13	e⌊⌊⌊λλ2⌋⌋∝⌋ζ2	e⌊⌊⌊λλ2⌋⌋∝⌋ζ2	PROPN
ejpam-6222	141	14			NUM
ejpam-6222	141	15	.	.	PUNCT
ejpam-6222	142	1	now	now	ADV
ejpam-6222	142	2	,	,	PUNCT
ejpam-6222	142	3	ζ1υ1∇ζ2υ2	ζ1υ1∇ζ2υ2	NOUN
ejpam-6222	142	4	=	=	SYM
ejpam-6222	142	5			NOUN
ejpam-6222	142	6	∝	∝	NOUN
ejpam-6222	142	7	√√√√√√√√√√√√√	√√√√√√√√√√√√√	NOUN
ejpam-6222	143	1	⌊	⌊	VERB
ejpam-6222	143	2	p	p	NOUN
ejpam-6222	143	3	−	−	NOUN
ejpam-6222	143	4	⌊	⌊	PROPN
ejpam-6222	143	5	p	p	NOUN
ejpam-6222	143	6	−⌊⌊λr1⌋⌋∝	−⌊⌊λr1⌋⌋∝	NOUN
ejpam-6222	143	7	⌋ζ1⌋	⌋ζ1⌋	PUNCT
ejpam-6222	144	1	+	+	ADP
ejpam-6222	144	2	⌊	⌊	PROPN
ejpam-6222	144	3	p	p	NOUN
ejpam-6222	144	4	−	−	NOUN
ejpam-6222	145	1	⌊	⌊	AUX
ejpam-6222	145	2	p	p	X
ejpam-6222	145	3	−⌊⌊λr2⌋⌋∝	−⌊⌊λr2⌋⌋∝	NOUN
ejpam-6222	145	4	⌋ζ2⌋	⌋ζ2⌋	PUNCT
ejpam-6222	145	5	−	−	PUNCT
ejpam-6222	146	1	⌊	⌊	INTJ
ejpam-6222	146	2	p	p	NOUN
ejpam-6222	146	3	−	−	NOUN
ejpam-6222	146	4	⌊	⌊	PROPN
ejpam-6222	146	5	p	p	X
ejpam-6222	146	6	−⌊⌊λr1⌋⌋∝	−⌊⌊λr1⌋⌋∝	X
ejpam-6222	146	7	⌋ζ1⌋	⌋ζ1⌋	PUNCT
ejpam-6222	146	8	·	·	PUNCT
ejpam-6222	146	9	⌊	⌊	X
ejpam-6222	147	1	p	p	NOUN
ejpam-6222	147	2	−	−	NOUN
ejpam-6222	148	1	⌊	⌊	X
ejpam-6222	148	2	p	p	X
ejpam-6222	148	3	−⌊⌊λr2⌋⌋∝	−⌊⌊λr2⌋⌋∝	VERB
ejpam-6222	148	4	⌋ζ2⌋	⌋ζ2⌋	PUNCT
ejpam-6222	148	5	,	,	PUNCT
ejpam-6222	148	6	·	·	PUNCT
ejpam-6222	148	7	e	e	X
ejpam-6222	148	8	∝	∝	PROPN
ejpam-6222	148	9	√√√√√√√√√√√√√√√√√√√	√√√√√√√√√√√√√√√√√√√	NOUN
ejpam-6222	149	1	⌊	⌊	VERB
ejpam-6222	149	2	p	p	NOUN
ejpam-6222	149	3	−	−	PROPN
ejpam-6222	149	4	⌊	⌊	PROPN
ejpam-6222	149	5	p	p	NOUN
ejpam-6222	149	6	−⌊⌊λi1⌋⌋∝	−⌊⌊λi1⌋⌋∝	NOUN
ejpam-6222	149	7	⌋ζ1⌋	⌋ζ1⌋	PUNCT
ejpam-6222	150	1	+	+	ADP
ejpam-6222	150	2	⌊	⌊	PROPN
ejpam-6222	150	3	p	p	NOUN
ejpam-6222	150	4	−	−	NOUN
ejpam-6222	150	5	⌊	⌊	PROPN
ejpam-6222	150	6	p	p	NOUN
ejpam-6222	150	7	−⌊⌊λi2⌋⌋∝	−⌊⌊λi2⌋⌋∝	NOUN
ejpam-6222	150	8	⌋ζ2⌋	⌋ζ2⌋	PUNCT
ejpam-6222	150	9	−	−	PUNCT
ejpam-6222	151	1	⌊	⌊	INTJ
ejpam-6222	151	2	p	p	NOUN
ejpam-6222	151	3	−	−	NOUN
ejpam-6222	151	4	⌊	⌊	X
ejpam-6222	151	5	p	p	NOUN
ejpam-6222	151	6	−⌊⌊λi1⌋⌋∝	−⌊⌊λi1⌋⌋∝	NOUN
ejpam-6222	151	7	⌋ζ1⌋	⌋ζ1⌋	PROPN
ejpam-6222	151	8	·	·	PUNCT
ejpam-6222	151	9	⌊	⌊	X
ejpam-6222	151	10	p	p	NOUN
ejpam-6222	151	11	−	−	NOUN
ejpam-6222	152	1	⌊	⌊	PROPN
ejpam-6222	152	2	p	p	NOUN
ejpam-6222	152	3	−⌊⌊λi2⌋⌋∝	−⌊⌊λi2⌋⌋∝	NOUN
ejpam-6222	152	4	⌋ζ2⌋	⌋ζ2⌋	X
ejpam-6222	152	5	,	,	PUNCT
ejpam-6222	152	6	⌊⌊⌊λ	⌊⌊⌊λ	PROPN
ejpam-6222	152	7	℧	℧	PROPN
ejpam-6222	152	8	1⌋⌋∝⌋ζ1	1⌋⌋∝⌋ζ1	NUM
ejpam-6222	152	9	·	·	PUNCT
ejpam-6222	152	10	⌊⌊⌊λ	⌊⌊⌊λ	PROPN
ejpam-6222	152	11	℧	℧	PROPN
ejpam-6222	152	12	2⌋⌋∝⌋ζ2	2⌋⌋∝⌋ζ2	NUM
ejpam-6222	152	13	·	·	PUNCT
ejpam-6222	152	14	e⌊⌊⌊λλ1⌋⌋∝⌋ζ1	e⌊⌊⌊λλ1⌋⌋∝⌋ζ1	PROPN
ejpam-6222	152	15	·	·	SYM
ejpam-6222	152	16	⌊⌊⌊λλ2⌋⌋∝⌋ζ2	⌊⌊⌊λλ2⌋⌋∝⌋ζ2	PROPN
ejpam-6222	152	17			NOUN
ejpam-6222	152	18	=	=	SYM
ejpam-6222	152	19			ADJ
ejpam-6222	152	20	∝	∝	NOUN
ejpam-6222	153	1	√	√	PROPN
ejpam-6222	153	2	p	p	NOUN
ejpam-6222	153	3	−	−	PROPN
ejpam-6222	154	1	⌊	⌊	PROPN
ejpam-6222	154	2	p	p	X
ejpam-6222	154	3	−⌊⌊λr1⌋⌋∝	−⌊⌊λr1⌋⌋∝	X
ejpam-6222	154	4	⌋ζ1⌊	⌋ζ1⌊	X
ejpam-6222	154	5	p	p	X
ejpam-6222	154	6	−⌊⌊λr2⌋⌋∝	−⌊⌊λr2⌋⌋∝	X
ejpam-6222	154	7	⌋ζ2	⌋ζ2	PUNCT
ejpam-6222	154	8	·	·	PUNCT
ejpam-6222	155	1	e	e	X
ejpam-6222	155	2	∝	∝	PROPN
ejpam-6222	155	3	√	√	PROPN
ejpam-6222	155	4	p	p	NOUN
ejpam-6222	155	5	−	−	PROPN
ejpam-6222	155	6	⌊	⌊	PROPN
ejpam-6222	155	7	p	p	NOUN
ejpam-6222	155	8	−⌊⌊λi1⌋⌋∝	−⌊⌊λi1⌋⌋∝	NOUN
ejpam-6222	155	9	⌋ζ1⌊	⌋ζ1⌊	PROPN
ejpam-6222	155	10	p	p	NOUN
ejpam-6222	155	11	−⌊⌊λi2⌋⌋∝	−⌊⌊λi2⌋⌋∝	NOUN
ejpam-6222	155	12	⌋ζ2	⌋ζ2	PUNCT
ejpam-6222	155	13	,	,	PUNCT
ejpam-6222	155	14	⌊⌊⌊λ	⌊⌊⌊λ	PROPN
ejpam-6222	155	15	℧	℧	PROPN
ejpam-6222	155	16	1⌋⌋∝⌋ζ1	1⌋⌋∝⌋ζ1	NUM
ejpam-6222	155	17	·	·	PUNCT
ejpam-6222	155	18	⌊⌊⌊λ	⌊⌊⌊λ	PROPN
ejpam-6222	155	19	℧	℧	PROPN
ejpam-6222	155	20	2⌋⌋∝⌋ζ2	2⌋⌋∝⌋ζ2	NUM
ejpam-6222	155	21	·	·	PUNCT
ejpam-6222	155	22	e⌊⌊⌊λλ1⌋⌋∝⌋ζ1	e⌊⌊⌊λλ1⌋⌋∝⌋ζ1	PROPN
ejpam-6222	155	23	·	·	SYM
ejpam-6222	155	24	⌊⌊⌊λλ2⌋⌋∝⌋ζ2	⌊⌊⌊λλ2⌋⌋∝⌋ζ2	PROPN
ejpam-6222	155	25			VERB
ejpam-6222	155	26	hence	hence	ADV
ejpam-6222	155	27	,	,	PUNCT
ejpam-6222	155	28	ctnwa⌊υ1,υ2⌋	ctnwa⌊υ1,υ2⌋	NOUN
ejpam-6222	155	29	=	=	PUNCT
ejpam-6222	155	30			X
ejpam-6222	155	31	∝	∝	NOUN
ejpam-6222	155	32	√	√	PROPN
ejpam-6222	155	33	p	p	PRON
ejpam-6222	155	34	−	−	PROPN
ejpam-6222	155	35	△	△	X
ejpam-6222	155	36	2	2	NUM
ejpam-6222	155	37	i→1	i→1	NOUN
ejpam-6222	155	38	⌊	⌊	ADP
ejpam-6222	155	39	p	p	NOUN
ejpam-6222	155	40	−⌊⌊λri⌋⌋∝	−⌊⌊λri⌋⌋∝	PROPN
ejpam-6222	155	41	⌋ζi	⌋ζi	NOUN
ejpam-6222	155	42	·	·	PUNCT
ejpam-6222	156	1	e	e	X
ejpam-6222	156	2	∝	∝	NOUN
ejpam-6222	156	3	√	√	NUM
ejpam-6222	156	4	p−	p−	NOUN
ejpam-6222	156	5	△	△	X
ejpam-6222	156	6	2	2	NUM
ejpam-6222	156	7	i→1	i→1	X
ejpam-6222	156	8	⌊	⌊	PROPN
ejpam-6222	156	9	p−⌊⌊λii⌋⌋∝	p−⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	156	10	⌋ζi	⌋ζi	NOUN
ejpam-6222	156	11	,	,	PUNCT
ejpam-6222	156	12	△	△	X
ejpam-6222	156	13	2	2	NUM
ejpam-6222	156	14	i→1⌊⌊⌊λ	i→1⌊⌊⌊λ	NOUN
ejpam-6222	156	15	℧	℧	PROPN
ejpam-6222	156	16	i⌋⌋∝⌋ζi	i⌋⌋∝⌋ζi	PROPN
ejpam-6222	156	17	·	·	PUNCT
ejpam-6222	156	18	e	e	X
ejpam-6222	156	19	△	△	X
ejpam-6222	156	20	2	2	NUM
ejpam-6222	156	21	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	NOUN
ejpam-6222	156	22			NUM
ejpam-6222	156	23	.	.	PUNCT
ejpam-6222	157	1	it	it	PRON
ejpam-6222	157	2	valid	valid	ADJ
ejpam-6222	157	3	for	for	ADP
ejpam-6222	157	4	z	z	PROPN
ejpam-6222	157	5	≥	≥	NUM
ejpam-6222	157	6	3	3	NUM
ejpam-6222	157	7	,	,	PUNCT
ejpam-6222	157	8	thus	thus	ADV
ejpam-6222	157	9	,	,	PUNCT
ejpam-6222	157	10	ctnwa⌊υ1,υ2	ctnwa⌊υ1,υ2	NOUN
ejpam-6222	157	11	,	,	PUNCT
ejpam-6222	157	12	...	...	PUNCT
ejpam-6222	157	13	,	,	PUNCT
ejpam-6222	157	14	υz⌋	υz⌋	NUM
ejpam-6222	157	15	=	=	SYM
ejpam-6222	157	16			PUNCT
ejpam-6222	157	17	∝	∝	NOUN
ejpam-6222	157	18	√	√	PROPN
ejpam-6222	157	19	p	p	PRON
ejpam-6222	157	20	−	−	PROPN
ejpam-6222	157	21	△	△	NOUN
ejpam-6222	157	22	z	z	NOUN
ejpam-6222	157	23	i→1	i→1	VERB
ejpam-6222	157	24	⌊	⌊	ADP
ejpam-6222	157	25	p	p	NOUN
ejpam-6222	157	26	−⌊⌊λri⌋⌋∝	−⌊⌊λri⌋⌋∝	PROPN
ejpam-6222	157	27	⌋ζi	⌋ζi	NOUN
ejpam-6222	157	28	·	·	PUNCT
ejpam-6222	157	29	e	e	X
ejpam-6222	157	30	∝	∝	NOUN
ejpam-6222	157	31	√	√	NUM
ejpam-6222	157	32	p−	p−	PROPN
ejpam-6222	157	33	△	△	NOUN
ejpam-6222	157	34	z	z	NOUN
ejpam-6222	157	35	i→1	i→1	VERB
ejpam-6222	157	36	⌊	⌊	PROPN
ejpam-6222	157	37	p−⌊⌊λii⌋⌋∝	p−⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	157	38	⌋ζi	⌋ζi	NOUN
ejpam-6222	157	39	,	,	PUNCT
ejpam-6222	157	40	△	△	PROPN
ejpam-6222	157	41	z	z	NOUN
ejpam-6222	157	42	i→1⌊⌊⌊λ	i→1⌊⌊⌊λ	PROPN
ejpam-6222	157	43	℧	℧	PROPN
ejpam-6222	157	44	i⌋⌋∝⌋ζi	i⌋⌋∝⌋ζi	PROPN
ejpam-6222	157	45	·	·	PUNCT
ejpam-6222	157	46	e	e	X
ejpam-6222	157	47	△	△	X
ejpam-6222	157	48	z	z	NOUN
ejpam-6222	157	49	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	NOUN
ejpam-6222	157	50			ADV
ejpam-6222	157	51	.	.	PUNCT
ejpam-6222	158	1	if	if	SCONJ
ejpam-6222	158	2	z	z	NOUN
ejpam-6222	158	3	=	=	SYM
ejpam-6222	158	4	z	z	NOUN
ejpam-6222	159	1	+	+	NOUN
ejpam-6222	159	2	1	1	NUM
ejpam-6222	159	3	,	,	PUNCT
ejpam-6222	159	4	then	then	ADV
ejpam-6222	159	5	csrfffnwa	csrfffnwa	VERB
ejpam-6222	159	6	⌊υ1,υ2	⌊υ1,υ2	ADV
ejpam-6222	159	7	,	,	PUNCT
ejpam-6222	159	8	...	...	PUNCT
ejpam-6222	159	9	,	,	PUNCT
ejpam-6222	159	10	υz	υz	ADP
ejpam-6222	159	11	,	,	PUNCT
ejpam-6222	159	12	υz+1⌋	υz+1⌋	PROPN
ejpam-6222	159	13	m.	m.	PROPN
ejpam-6222	159	14	palanikumar	palanikumar	PROPN
ejpam-6222	159	15	et	et	PROPN
ejpam-6222	159	16	al	al	PROPN
ejpam-6222	159	17	.	.	PUNCT
ejpam-6222	159	18	/	/	SYM
ejpam-6222	159	19	eur	eur	PROPN
ejpam-6222	159	20	.	.	PUNCT
ejpam-6222	160	1	j.	j.	PROPN
ejpam-6222	160	2	pure	pure	PROPN
ejpam-6222	160	3	appl	appl	PROPN
ejpam-6222	160	4	.	.	PROPN
ejpam-6222	160	5	math	math	PROPN
ejpam-6222	160	6	,	,	PUNCT
ejpam-6222	160	7	18	18	NUM
ejpam-6222	160	8	(	(	PUNCT
ejpam-6222	160	9	3	3	NUM
ejpam-6222	160	10	)	)	PUNCT
ejpam-6222	160	11	(	(	PUNCT
ejpam-6222	160	12	2025	2025	NUM
ejpam-6222	160	13	)	)	PUNCT
ejpam-6222	160	14	,	,	PUNCT
ejpam-6222	160	15	6222	6222	NUM
ejpam-6222	160	16	7	7	NUM
ejpam-6222	160	17	of	of	ADP
ejpam-6222	160	18	14	14	NUM
ejpam-6222	160	19	=	=	SYM
ejpam-6222	160	20			NOUN
ejpam-6222	160	21	∝	∝	PROPN
ejpam-6222	160	22	√√√√√√	√√√√√√	PRON
ejpam-6222	160	23	∇z	∇z	PROPN
ejpam-6222	160	24	i→1	i→1	NOUN
ejpam-6222	160	25	⌊	⌊	ADP
ejpam-6222	160	26	p	p	NOUN
ejpam-6222	160	27	−	−	NOUN
ejpam-6222	160	28	⌊	⌊	PROPN
ejpam-6222	160	29	p	p	NOUN
ejpam-6222	160	30	−⌊⌊λri⌋⌋∝	−⌊⌊λri⌋⌋∝	PROPN
ejpam-6222	160	31	⌋ζi⌋	⌋ζi⌋	NOUN
ejpam-6222	160	32	+	+	CCONJ
ejpam-6222	160	33	⌊	⌊	X
ejpam-6222	160	34	p	p	NOUN
ejpam-6222	160	35	−	−	NOUN
ejpam-6222	160	36	⌊	⌊	X
ejpam-6222	160	37	p	p	NOUN
ejpam-6222	160	38	−⌊rz+1⌋∝	−⌊rz+1⌋∝	ADJ
ejpam-6222	160	39	⌋ζz+1	⌋ζz+1	X
ejpam-6222	160	40	⌋	⌋	PROPN
ejpam-6222	160	41	−	−	NUM
ejpam-6222	160	42	△	△	X
ejpam-6222	160	43	z	z	NOUN
ejpam-6222	160	44	i→1	i→1	VERB
ejpam-6222	160	45	⌊	⌊	ADP
ejpam-6222	160	46	p	p	NOUN
ejpam-6222	160	47	−	−	NOUN
ejpam-6222	160	48	⌊	⌊	PROPN
ejpam-6222	160	49	p	p	NOUN
ejpam-6222	160	50	−⌊⌊λri⌋⌋∝	−⌊⌊λri⌋⌋∝	PROPN
ejpam-6222	160	51	⌋ζi⌋	⌋ζi⌋	NUM
ejpam-6222	160	52	·	·	PUNCT
ejpam-6222	160	53	⌊	⌊	VERB
ejpam-6222	160	54	p	p	X
ejpam-6222	160	55	−	−	X
ejpam-6222	160	56	⌊	⌊	X
ejpam-6222	160	57	p	p	NOUN
ejpam-6222	160	58	−⌊rz+1⌋∝	−⌊rz+1⌋∝	ADJ
ejpam-6222	160	59	⌋ζz+1	⌋ζz+1	X
ejpam-6222	160	60	⌋	⌋	PROPN
ejpam-6222	160	61	·	·	PUNCT
ejpam-6222	161	1	e	e	X
ejpam-6222	161	2	∝	∝	PROPN
ejpam-6222	161	3	√√√√√√√√√	√√√√√√√√√	PRON
ejpam-6222	161	4	∇z	∇z	NOUN
ejpam-6222	161	5	i→1	i→1	NOUN
ejpam-6222	161	6	⌊	⌊	ADP
ejpam-6222	161	7	p	p	NOUN
ejpam-6222	161	8	−	−	NOUN
ejpam-6222	161	9	⌊	⌊	PROPN
ejpam-6222	161	10	p	p	NOUN
ejpam-6222	161	11	−⌊⌊λii⌋⌋∝	−⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	161	12	⌋ζi⌋	⌋ζi⌋	NUM
ejpam-6222	161	13	+	+	CCONJ
ejpam-6222	161	14	⌊	⌊	X
ejpam-6222	161	15	p	p	NOUN
ejpam-6222	161	16	−	−	NOUN
ejpam-6222	162	1	⌊	⌊	PROPN
ejpam-6222	162	2	p	p	NOUN
ejpam-6222	162	3	−⌊iz+1⌋∝	−⌊iz+1⌋∝	NUM
ejpam-6222	162	4	⌋ζz+1	⌋ζz+1	X
ejpam-6222	162	5	⌋	⌋	NOUN
ejpam-6222	162	6	−	−	NUM
ejpam-6222	162	7	△	△	X
ejpam-6222	162	8	z	z	NOUN
ejpam-6222	162	9	i→1	i→1	VERB
ejpam-6222	162	10	⌊	⌊	ADP
ejpam-6222	162	11	p	p	NOUN
ejpam-6222	162	12	−	−	NOUN
ejpam-6222	162	13	⌊	⌊	PROPN
ejpam-6222	162	14	p	p	NOUN
ejpam-6222	162	15	−⌊⌊λii⌋⌋∝	−⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	162	16	⌋ζi⌋	⌋ζi⌋	NUM
ejpam-6222	163	1	·	·	PUNCT
ejpam-6222	163	2	⌊	⌊	AUX
ejpam-6222	163	3	p	p	X
ejpam-6222	163	4	−	−	NOUN
ejpam-6222	164	1	⌊	⌊	PROPN
ejpam-6222	164	2	p	p	NOUN
ejpam-6222	164	3	−⌊iz+1⌋∝	−⌊iz+1⌋∝	NUM
ejpam-6222	164	4	⌋ζz+1	⌋ζz+1	X
ejpam-6222	164	5	⌋	⌋	NOUN
ejpam-6222	164	6	,	,	PUNCT
ejpam-6222	164	7	△	△	PROPN
ejpam-6222	164	8	z	z	NOUN
ejpam-6222	164	9	i→1⌊⌊⌊λ	i→1⌊⌊⌊λ	PROPN
ejpam-6222	164	10	℧	℧	PROPN
ejpam-6222	165	1	i⌋⌋∝⌋ζi	i⌋⌋∝⌋ζi	PROPN
ejpam-6222	165	2	·	·	PUNCT
ejpam-6222	165	3	⌊⌊	⌊⌊	PROPN
ejpam-6222	165	4	℧	℧	PROPN
ejpam-6222	165	5	z+1⌋∝⌋ζz+1	z+1⌋∝⌋ζz+1	PROPN
ejpam-6222	165	6	·	·	PUNCT
ejpam-6222	166	1	e	e	X
ejpam-6222	166	2	△	△	PROPN
ejpam-6222	166	3	z	z	PROPN
ejpam-6222	166	4	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	NOUN
ejpam-6222	166	5	·	·	PUNCT
ejpam-6222	166	6	⌊⌊λz+1⌋∝⌋ζz+1	⌊⌊λz+1⌋∝⌋ζz+1	X
ejpam-6222	166	7			NUM
ejpam-6222	166	8	=	=	SYM
ejpam-6222	166	9			X
ejpam-6222	166	10	∝	∝	NOUN
ejpam-6222	166	11	√	√	PROPN
ejpam-6222	166	12	p	p	PRON
ejpam-6222	166	13	−	−	PROPN
ejpam-6222	166	14	△	△	X
ejpam-6222	166	15	z+1	z+1	NUM
ejpam-6222	166	16	i→1	i→1	VERB
ejpam-6222	166	17	⌊	⌊	ADP
ejpam-6222	166	18	p	p	NOUN
ejpam-6222	166	19	−⌊⌊λri⌋⌋∝	−⌊⌊λri⌋⌋∝	PROPN
ejpam-6222	166	20	⌋ζi	⌋ζi	NOUN
ejpam-6222	166	21	·	·	PUNCT
ejpam-6222	166	22	e	e	X
ejpam-6222	166	23	∝	∝	PROPN
ejpam-6222	166	24	√	√	PROPN
ejpam-6222	166	25	p	p	PRON
ejpam-6222	166	26	−	−	PROPN
ejpam-6222	166	27	△	△	X
ejpam-6222	166	28	z+1	z+1	NUM
ejpam-6222	166	29	i→1	i→1	VERB
ejpam-6222	166	30	⌊	⌊	ADP
ejpam-6222	166	31	p	p	PROPN
ejpam-6222	166	32	−⌊⌊λii⌋⌋∝	−⌊⌊λii⌋⌋∝	PROPN
ejpam-6222	166	33	⌋ζi	⌋ζi	NOUN
ejpam-6222	166	34	,	,	PUNCT
ejpam-6222	166	35	△	△	PROPN
ejpam-6222	166	36	z+1	z+1	NUM
ejpam-6222	166	37	i→1⌊⌊⌊λ	i→1⌊⌊⌊λ	PROPN
ejpam-6222	166	38	℧	℧	PROPN
ejpam-6222	166	39	i⌋⌋∝⌋ζi	i⌋⌋∝⌋ζi	PROPN
ejpam-6222	166	40	·	·	PUNCT
ejpam-6222	167	1	e	e	X
ejpam-6222	167	2	△	△	X
ejpam-6222	167	3	z+1	z+1	NUM
ejpam-6222	167	4	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	NOUN
ejpam-6222	167	5			NUM
ejpam-6222	167	6	.	.	PUNCT
ejpam-6222	168	1	theorem	theorem	NOUN
ejpam-6222	168	2	2	2	NUM
ejpam-6222	168	3	.	.	PUNCT
ejpam-6222	169	1	let	let	VERB
ejpam-6222	169	2	υi	υi	NOUN
ejpam-6222	169	3	=	=	NOUN
ejpam-6222	169	4	〈	〈	PROPN
ejpam-6222	169	5	⌊⌊⌊λri⌋	⌊⌊⌊λri⌋	NOUN
ejpam-6222	169	6	·	·	PUNCT
ejpam-6222	169	7	e⌊λii⌋	e⌊λii⌋	NOUN
ejpam-6222	169	8	,	,	PUNCT
ejpam-6222	169	9	⌊λ	⌊λ	PRON
ejpam-6222	169	10	℧	℧	PROPN
ejpam-6222	169	11	i⌋	i⌋	PROPN
ejpam-6222	169	12	·	·	PUNCT
ejpam-6222	169	13	e⌊λλi⌋⌋⌋	e⌊λλi⌋⌋⌋	NOUN
ejpam-6222	169	14	〉	〉	NOUN
ejpam-6222	169	15	be	be	VERB
ejpam-6222	169	16	the	the	DET
ejpam-6222	169	17	csrfffns	csrfffns	NOUN
ejpam-6222	169	18	.	.	PUNCT
ejpam-6222	170	1	then	then	ADV
ejpam-6222	170	2	csrfffnwa	csrfffnwa	VERB
ejpam-6222	170	3	⌊υ1,υ2	⌊υ1,υ2	ADV
ejpam-6222	170	4	,	,	PUNCT
ejpam-6222	170	5	...	...	PUNCT
ejpam-6222	170	6	,	,	PUNCT
ejpam-6222	170	7	υz⌋	υz⌋	X
ejpam-6222	170	8	=	=	SYM
ejpam-6222	170	9	υ	υ	NOUN
ejpam-6222	170	10	.	.	NOUN
ejpam-6222	170	11	proof	proof	NOUN
ejpam-6222	170	12	.	.	PUNCT
ejpam-6222	171	1	since	since	SCONJ
ejpam-6222	171	2	⌊λri⌋	⌊λri⌋	PROPN
ejpam-6222	171	3	=	=	SYM
ejpam-6222	171	4	⌊λr⌋	⌊λr⌋	NUM
ejpam-6222	171	5	,	,	PUNCT
ejpam-6222	171	6	⌊λ	⌊λ	PRON
ejpam-6222	171	7	℧	℧	PROPN
ejpam-6222	171	8	i⌋	i⌋	PROPN
ejpam-6222	171	9	=	=	PUNCT
ejpam-6222	171	10	⌊λ	⌊λ	NOUN
ejpam-6222	171	11	℧	℧	PROPN
ejpam-6222	171	12	⌋	⌋	NOUN
ejpam-6222	171	13	and	and	CCONJ
ejpam-6222	171	14	⌊λii⌋	⌊λii⌋	PROPN
ejpam-6222	171	15	=	=	PUNCT
ejpam-6222	171	16	⌊λi⌋	⌊λi⌋	NOUN
ejpam-6222	171	17	,	,	PUNCT
ejpam-6222	171	18	⌊λλi⌋	⌊λλi⌋	PROPN
ejpam-6222	171	19	=	=	PUNCT
ejpam-6222	171	20	⌊λλ⌋	⌊λλ⌋	NOUN
ejpam-6222	171	21	and	and	CCONJ
ejpam-6222	171	22	∇z	∇z	ADJ
ejpam-6222	171	23	i→1ζi	i→1ζi	NOUN
ejpam-6222	171	24	=	=	NOUN
ejpam-6222	171	25	1	1	X
ejpam-6222	171	26	.	.	PUNCT
ejpam-6222	171	27	now	now	ADV
ejpam-6222	171	28	,	,	PUNCT
ejpam-6222	171	29	ctnwa⌊υ1,υ2	ctnwa⌊υ1,υ2	NOUN
ejpam-6222	171	30	,	,	PUNCT
ejpam-6222	171	31	...	...	PUNCT
ejpam-6222	171	32	,	,	PUNCT
ejpam-6222	171	33	υz⌋	υz⌋	NUM
ejpam-6222	171	34	=	=	SYM
ejpam-6222	171	35			PUNCT
ejpam-6222	171	36	∝	∝	NOUN
ejpam-6222	171	37	√	√	PROPN
ejpam-6222	171	38	p	p	PRON
ejpam-6222	171	39	−	−	PROPN
ejpam-6222	171	40	△	△	NOUN
ejpam-6222	171	41	z	z	NOUN
ejpam-6222	171	42	i→1	i→1	VERB
ejpam-6222	171	43	⌊	⌊	ADP
ejpam-6222	171	44	p	p	NOUN
ejpam-6222	171	45	−⌊⌊λri⌋⌋∝	−⌊⌊λri⌋⌋∝	PROPN
ejpam-6222	171	46	⌋ζi	⌋ζi	NOUN
ejpam-6222	171	47	·	·	PUNCT
ejpam-6222	171	48	e	e	X
ejpam-6222	171	49	∝	∝	PROPN
ejpam-6222	171	50	√	√	PROPN
ejpam-6222	171	51	p	p	PRON
ejpam-6222	171	52	−	−	PROPN
ejpam-6222	171	53	△	△	NOUN
ejpam-6222	171	54	z	z	NOUN
ejpam-6222	171	55	i→1	i→1	VERB
ejpam-6222	171	56	⌊	⌊	ADP
ejpam-6222	171	57	p	p	PROPN
ejpam-6222	171	58	−⌊⌊λii⌋⌋∝	−⌊⌊λii⌋⌋∝	PROPN
ejpam-6222	171	59	⌋ζi	⌋ζi	NOUN
ejpam-6222	171	60	,	,	PUNCT
ejpam-6222	171	61	△	△	PROPN
ejpam-6222	171	62	z	z	NOUN
ejpam-6222	171	63	i→1⌊⌊⌊λ	i→1⌊⌊⌊λ	PROPN
ejpam-6222	171	64	℧	℧	PROPN
ejpam-6222	171	65	i⌋⌋∝⌋ζi	i⌋⌋∝⌋ζi	PROPN
ejpam-6222	171	66	·	·	PUNCT
ejpam-6222	171	67	e	e	X
ejpam-6222	171	68	△	△	X
ejpam-6222	171	69	z	z	NOUN
ejpam-6222	171	70	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	i→1⌊⌊⌊λλi⌋⌋∝⌋ζi	NOUN
ejpam-6222	171	71			NUM
ejpam-6222	171	72	=	=	SYM
ejpam-6222	171	73			NOUN
ejpam-6222	171	74	∝	∝	NOUN
ejpam-6222	171	75	√	√	PROPN
ejpam-6222	171	76	p	p	NOUN
ejpam-6222	171	77	−	−	PROPN
ejpam-6222	171	78	⌊	⌊	PROPN
ejpam-6222	171	79	p	p	X
ejpam-6222	171	80	−⌊λ⌊r⌋∝	−⌊λ⌊r⌋∝	NOUN
ejpam-6222	171	81	⌋∇z	⌋∇z	PUNCT
ejpam-6222	171	82	i→1ζi	i→1ζi	NOUN
ejpam-6222	171	83	·	·	PUNCT
ejpam-6222	171	84	e	e	X
ejpam-6222	171	85	∝	∝	PROPN
ejpam-6222	172	1	√	√	PROPN
ejpam-6222	172	2	p	p	NOUN
ejpam-6222	172	3	−	−	PROPN
ejpam-6222	173	1	⌊	⌊	PROPN
ejpam-6222	173	2	p	p	NOUN
ejpam-6222	173	3	−⌊λ⌊i⌋∝	−⌊λ⌊i⌋∝	ADJ
ejpam-6222	173	4	⌋∇z	⌋∇z	PUNCT
ejpam-6222	173	5	i→1ζi	i→1ζi	NOUN
ejpam-6222	173	6	,	,	PUNCT
ejpam-6222	173	7	⌊⌊λ⌊	⌊⌊λ⌊	NOUN
ejpam-6222	173	8	℧	℧	NOUN
ejpam-6222	173	9	⌋∝⌋∇z	⌋∝⌋∇z	NOUN
ejpam-6222	173	10	i→1ζi	i→1ζi	NOUN
ejpam-6222	173	11	·	·	PUNCT
ejpam-6222	174	1	e⌊⌊λ⌊λ⌋∝⌋∇	e⌊⌊λ⌊λ⌋∝⌋∇	NOUN
ejpam-6222	174	2	z	z	NOUN
ejpam-6222	174	3	i→1ζi	i→1ζi	NOUN
ejpam-6222	174	4			NOUN
ejpam-6222	174	5	=	=	PUNCT
ejpam-6222	174	6			X
ejpam-6222	174	7	∝	∝	NOUN
ejpam-6222	175	1	√	√	PROPN
ejpam-6222	175	2	p	p	NOUN
ejpam-6222	175	3	−	−	PROPN
ejpam-6222	176	1	⌊	⌊	PROPN
ejpam-6222	176	2	p	p	X
ejpam-6222	176	3	−⌊λ⌊r⌋∝	−⌊λ⌊r⌋∝	NOUN
ejpam-6222	176	4	⌋	⌋	NOUN
ejpam-6222	176	5	·	·	PUNCT
ejpam-6222	177	1	e	e	X
ejpam-6222	177	2	∝	∝	PROPN
ejpam-6222	177	3	√	√	PROPN
ejpam-6222	177	4	p	p	NOUN
ejpam-6222	177	5	−	−	PROPN
ejpam-6222	177	6	⌊	⌊	PROPN
ejpam-6222	177	7	p	p	NOUN
ejpam-6222	177	8	−⌊λ⌊i⌋∝	−⌊λ⌊i⌋∝	ADJ
ejpam-6222	177	9	⌋	⌋	NOUN
ejpam-6222	177	10	,	,	PUNCT
ejpam-6222	177	11	⌊λ⌊	⌊λ⌊	NOUN
ejpam-6222	177	12	℧	℧	NOUN
ejpam-6222	177	13	⌋∝	⌋∝	X
ejpam-6222	177	14	·	·	PUNCT
ejpam-6222	178	1	e⌊λ⌊λ⌋∝	e⌊λ⌊λ⌋∝	NUM
ejpam-6222	178	2			NUM
ejpam-6222	178	3	=	=	SYM
ejpam-6222	178	4	υ	υ	PROPN
ejpam-6222	178	5	.	.	PUNCT
ejpam-6222	178	6	theorem	theorem	NOUN
ejpam-6222	178	7	3	3	X
ejpam-6222	178	8	.	.	PUNCT
ejpam-6222	179	1	let	let	VERB
ejpam-6222	179	2	υi	υi	NOUN
ejpam-6222	179	3	=	=	NOUN
ejpam-6222	179	4	〈	〈	PROPN
ejpam-6222	179	5	⌊⌊⌊λri⌋	⌊⌊⌊λri⌋	NOUN
ejpam-6222	179	6	·	·	PUNCT
ejpam-6222	179	7	e⌊λii⌋	e⌊λii⌋	NOUN
ejpam-6222	179	8	,	,	PUNCT
ejpam-6222	179	9	⌊λ	⌊λ	PRON
ejpam-6222	179	10	℧	℧	PROPN
ejpam-6222	179	11	i⌋	i⌋	PROPN
ejpam-6222	179	12	·	·	PUNCT
ejpam-6222	179	13	e⌊λλi⌋⌋⌋	e⌊λλi⌋⌋⌋	NOUN
ejpam-6222	179	14	〉	〉	NOUN
ejpam-6222	179	15	be	be	VERB
ejpam-6222	179	16	the	the	DET
ejpam-6222	179	17	csrfffns	csrfffns	NOUN
ejpam-6222	179	18	.	.	PUNCT
ejpam-6222	180	1	then	then	ADV
ejpam-6222	180	2	csrfffnwa⌊υ1,υ2	csrfffnwa⌊υ1,υ2	VERB
ejpam-6222	180	3	,	,	PUNCT
ejpam-6222	180	4	...	...	PUNCT
ejpam-6222	180	5	,	,	PUNCT
ejpam-6222	180	6	υz⌋	υz⌋	NOUN
ejpam-6222	180	7	,	,	PUNCT
ejpam-6222	180	8	where	where	SCONJ
ejpam-6222	180	9	⌊λr⌋	⌊λr⌋	NOUN
ejpam-6222	180	10	=	=	SYM
ejpam-6222	180	11	min⌊λrij⌋	min⌊λrij⌋	NOUN
ejpam-6222	180	12	,	,	PUNCT
ejpam-6222	180	13	⌊λr⌋	⌊λr⌋	PUNCT
ejpam-6222	180	14	=	=	SYM
ejpam-6222	180	15	max⌊λrij⌋	max⌊λrij⌋	NOUN
ejpam-6222	180	16	,	,	PUNCT
ejpam-6222	180	17	⌊λ	⌊λ	NOUN
ejpam-6222	180	18	℧	℧	PROPN
ejpam-6222	180	19	⌋	⌋	NOUN
ejpam-6222	180	20	=	=	SYM
ejpam-6222	180	21	min⌊λ	min⌊λ	PROPN
ejpam-6222	180	22	℧	℧	PROPN
ejpam-6222	180	23	ij⌋	ij⌋	PROPN
ejpam-6222	180	24	,	,	PUNCT
ejpam-6222	180	25	⌊λ	⌊λ	NOUN
ejpam-6222	180	26	℧	℧	PROPN
ejpam-6222	180	27	⌋	⌋	NOUN
ejpam-6222	180	28	=	=	SYM
ejpam-6222	180	29	max⌊λ	max⌊λ	PROPN
ejpam-6222	180	30	℧	℧	PROPN
ejpam-6222	180	31	ij⌋	ij⌋	X
ejpam-6222	180	32	and	and	CCONJ
ejpam-6222	180	33	⌊λi⌋	⌊λi⌋	NOUN
ejpam-6222	180	34	=	=	SYM
ejpam-6222	180	35	min⌊λiij⌋	min⌊λiij⌋	NOUN
ejpam-6222	180	36	,	,	PUNCT
ejpam-6222	180	37	⌊λi⌋	⌊λi⌋	NOUN
ejpam-6222	180	38	=	=	SYM
ejpam-6222	180	39	max⌊λiij⌋	max⌊λiij⌋	NOUN
ejpam-6222	180	40	,	,	PUNCT
ejpam-6222	180	41	⌊λλ⌋	⌊λλ⌋	NOUN
ejpam-6222	180	42	=	=	SYM
ejpam-6222	180	43	min⌊λλij⌋	min⌊λλij⌋	NOUN
ejpam-6222	180	44	,	,	PUNCT
ejpam-6222	180	45	⌊λλ⌋	⌊λλ⌋	NOUN
ejpam-6222	181	1	=	=	SYM
ejpam-6222	181	2	max⌊λλij⌋	max⌊λλij⌋	NOUN
ejpam-6222	181	3	and	and	CCONJ
ejpam-6222	181	4	where	where	SCONJ
ejpam-6222	181	5	1	1	NUM
ejpam-6222	181	6	≤	≤	NUM
ejpam-6222	181	7	i	i	PRON
ejpam-6222	181	8	≤	≤	PROPN
ejpam-6222	181	9	n	n	CCONJ
ejpam-6222	181	10	,	,	PUNCT
ejpam-6222	181	11	j	j	PROPN
ejpam-6222	181	12	=	=	SYM
ejpam-6222	181	13	1	1	NUM
ejpam-6222	181	14	,	,	PUNCT
ejpam-6222	181	15	2	2	NUM
ejpam-6222	181	16	,	,	PUNCT
ejpam-6222	181	17	...	...	PUNCT
ejpam-6222	181	18	,	,	PUNCT
ejpam-6222	181	19	ij	ij	INTJ
ejpam-6222	181	20	.	.	PUNCT
ejpam-6222	182	1	then	then	ADV
ejpam-6222	182	2	,	,	PUNCT
ejpam-6222	182	3	〈	〈	PROPN
ejpam-6222	182	4	⌊λr⌋	⌊λr⌋	NOUN
ejpam-6222	182	5	·	·	PUNCT
ejpam-6222	182	6	e⌊λi⌋	e⌊λi⌋	NOUN
ejpam-6222	182	7	,	,	PUNCT
ejpam-6222	182	8	⌊λ	⌊λ	NOUN
ejpam-6222	182	9	℧	℧	PROPN
ejpam-6222	182	10	⌋	⌋	NOUN
ejpam-6222	182	11	·	·	PUNCT
ejpam-6222	182	12	e⌊λλ⌋	e⌊λλ⌋	NOUN
ejpam-6222	182	13	〉	〉	NOUN
ejpam-6222	182	14	≤	≤	NUM
ejpam-6222	182	15	ctnwa⌊υ1,υ2	ctnwa⌊υ1,υ2	NOUN
ejpam-6222	182	16	,	,	PUNCT
ejpam-6222	182	17	...	...	PUNCT
ejpam-6222	182	18	,	,	PUNCT
ejpam-6222	182	19	υz⌋	υz⌋	NUM
ejpam-6222	182	20	≤	≤	NUM
ejpam-6222	182	21	〈	〈	PROPN
ejpam-6222	182	22	⌊λr⌋	⌊λr⌋	NOUN
ejpam-6222	182	23	·	·	PUNCT
ejpam-6222	182	24	e⌊λi⌋	e⌊λi⌋	NOUN
ejpam-6222	182	25	,	,	PUNCT
ejpam-6222	182	26	⌊λ	⌊λ	NOUN
ejpam-6222	182	27	℧	℧	PROPN
ejpam-6222	182	28	⌋	⌋	NOUN
ejpam-6222	182	29	·	·	PUNCT
ejpam-6222	182	30	e⌊λλ⌋	e⌊λλ⌋	NOUN
ejpam-6222	182	31	〉	〉	NOUN
ejpam-6222	182	32	.	.	PUNCT
ejpam-6222	183	1	m.	m.	PROPN
ejpam-6222	183	2	palanikumar	palanikumar	PROPN
ejpam-6222	183	3	et	et	PROPN
ejpam-6222	183	4	al	al	PROPN
ejpam-6222	183	5	.	.	PUNCT
ejpam-6222	183	6	/	/	SYM
ejpam-6222	183	7	eur	eur	PROPN
ejpam-6222	183	8	.	.	PUNCT
ejpam-6222	184	1	j.	j.	PROPN
ejpam-6222	184	2	pure	pure	PROPN
ejpam-6222	184	3	appl	appl	PROPN
ejpam-6222	184	4	.	.	PROPN
ejpam-6222	184	5	math	math	PROPN
ejpam-6222	184	6	,	,	PUNCT
ejpam-6222	184	7	18	18	NUM
ejpam-6222	184	8	(	(	PUNCT
ejpam-6222	184	9	3	3	NUM
ejpam-6222	184	10	)	)	PUNCT
ejpam-6222	184	11	(	(	PUNCT
ejpam-6222	184	12	2025	2025	NUM
ejpam-6222	184	13	)	)	PUNCT
ejpam-6222	184	14	,	,	PUNCT
ejpam-6222	184	15	6222	6222	NUM
ejpam-6222	184	16	8	8	NUM
ejpam-6222	184	17	of	of	ADP
ejpam-6222	184	18	14	14	NUM
ejpam-6222	184	19	proof	proof	NOUN
ejpam-6222	184	20	.	.	PUNCT
ejpam-6222	185	1	since	since	SCONJ
ejpam-6222	185	2	,	,	PUNCT
ejpam-6222	185	3	⌊λr⌋	⌊λr⌋	NUM
ejpam-6222	185	4	=	=	SYM
ejpam-6222	185	5	min⌊λrij⌋	min⌊λrij⌋	NOUN
ejpam-6222	185	6	,	,	PUNCT
ejpam-6222	185	7	⌊λr⌋	⌊λr⌋	PUNCT
ejpam-6222	185	8	=	=	SYM
ejpam-6222	185	9	max⌊λrij⌋	max⌊λrij⌋	NOUN
ejpam-6222	185	10	and	and	CCONJ
ejpam-6222	185	11	⌊λr⌋	⌊λr⌋	NUM
ejpam-6222	185	12	≤	≤	NUM
ejpam-6222	185	13	⌊λrij⌋	⌊λrij⌋	ADJ
ejpam-6222	185	14	≤	≤	NUM
ejpam-6222	185	15	⌊λr⌋	⌊λr⌋	NOUN
ejpam-6222	185	16	and	and	CCONJ
ejpam-6222	185	17	⌊λi⌋	⌊λi⌋	NOUN
ejpam-6222	185	18	=	=	SYM
ejpam-6222	185	19	min⌊λiij⌋	min⌊λiij⌋	NOUN
ejpam-6222	185	20	,	,	PUNCT
ejpam-6222	185	21	⌊λi⌋	⌊λi⌋	NOUN
ejpam-6222	185	22	=	=	SYM
ejpam-6222	185	23	max⌊λiij⌋	max⌊λiij⌋	NOUN
ejpam-6222	185	24	and	and	CCONJ
ejpam-6222	185	25	⌊λi⌋	⌊λi⌋	NOUN
ejpam-6222	185	26	≤	≤	ADJ
ejpam-6222	185	27	⌊λiij⌋	⌊λiij⌋	NOUN
ejpam-6222	185	28	≤	≤	X
ejpam-6222	185	29	⌊λi⌋.	⌊λi⌋.	X
ejpam-6222	185	30	now	now	ADV
ejpam-6222	185	31	⌊λr⌋	⌊λr⌋	NUM
ejpam-6222	185	32	·	·	PUNCT
ejpam-6222	185	33	e⌊λi⌋	e⌊λi⌋	NOUN
ejpam-6222	185	34	=	=	PUNCT
ejpam-6222	185	35	∝	∝	PROPN
ejpam-6222	185	36	√	√	PROPN
ejpam-6222	185	37	p	p	PRON
ejpam-6222	185	38	−	−	PROPN
ejpam-6222	185	39	△	△	NOUN
ejpam-6222	185	40	z	z	NOUN
ejpam-6222	185	41	i→1	i→1	VERB
ejpam-6222	185	42	⌊	⌊	ADP
ejpam-6222	185	43	p	p	NOUN
ejpam-6222	185	44	−⌊⌊λr⌋⌋∝	−⌊⌊λr⌋⌋∝	NOUN
ejpam-6222	185	45	⌋ζi	⌋ζi	NOUN
ejpam-6222	185	46	·	·	PUNCT
ejpam-6222	185	47	e	e	X
ejpam-6222	185	48	∝	∝	NOUN
ejpam-6222	185	49	√	√	NUM
ejpam-6222	185	50	p−	p−	PROPN
ejpam-6222	185	51	△	△	NOUN
ejpam-6222	185	52	z	z	NOUN
ejpam-6222	185	53	i→1	i→1	VERB
ejpam-6222	185	54	⌊	⌊	ADP
ejpam-6222	185	55	p−⌊⌊λi⌋⌋∝	p−⌊⌊λi⌋⌋∝	NOUN
ejpam-6222	185	56	⌋ζi	⌋ζi	VERB
ejpam-6222	185	57	≤	≤	NUM
ejpam-6222	185	58	∝	∝	PROPN
ejpam-6222	185	59	√	√	ADP
ejpam-6222	185	60	p	p	PRON
ejpam-6222	185	61	−	−	PROPN
ejpam-6222	185	62	△	△	NOUN
ejpam-6222	185	63	z	z	NOUN
ejpam-6222	185	64	i→1	i→1	VERB
ejpam-6222	185	65	⌊	⌊	ADP
ejpam-6222	185	66	p	p	PROPN
ejpam-6222	185	67	−⌊⌊⌊λrij⌋⌋⌋∝	−⌊⌊⌊λrij⌋⌋⌋∝	PROPN
ejpam-6222	185	68	⌋ζi	⌋ζi	NOUN
ejpam-6222	185	69	·	·	PUNCT
ejpam-6222	186	1	e	e	X
ejpam-6222	186	2	∝	∝	NOUN
ejpam-6222	186	3	√	√	NUM
ejpam-6222	186	4	p−	p−	PROPN
ejpam-6222	186	5	△	△	NOUN
ejpam-6222	186	6	z	z	NOUN
ejpam-6222	186	7	i→1	i→1	VERB
ejpam-6222	186	8	⌊	⌊	ADP
ejpam-6222	186	9	p−⌊⌊⌊λiij⌋⌋⌋∝	p−⌊⌊⌊λiij⌋⌋⌋∝	NOUN
ejpam-6222	186	10	⌋ζi	⌋ζi	VERB
ejpam-6222	186	11	≤	≤	NUM
ejpam-6222	186	12	∝	∝	PROPN
ejpam-6222	186	13	√	√	ADP
ejpam-6222	186	14	p	p	PRON
ejpam-6222	186	15	−	−	PROPN
ejpam-6222	186	16	△	△	NOUN
ejpam-6222	186	17	z	z	NOUN
ejpam-6222	186	18	i→1	i→1	VERB
ejpam-6222	186	19	⌊	⌊	ADP
ejpam-6222	186	20	p	p	NOUN
ejpam-6222	186	21	−⌊⌊λr⌋⌋∝	−⌊⌊λr⌋⌋∝	NOUN
ejpam-6222	186	22	⌋ζi	⌋ζi	NOUN
ejpam-6222	186	23	·	·	PUNCT
ejpam-6222	186	24	e	e	X
ejpam-6222	186	25	∝	∝	NOUN
ejpam-6222	186	26	√	√	NUM
ejpam-6222	186	27	p−	p−	PROPN
ejpam-6222	186	28	△	△	NOUN
ejpam-6222	186	29	z	z	NOUN
ejpam-6222	186	30	i→1	i→1	VERB
ejpam-6222	186	31	⌊	⌊	ADP
ejpam-6222	186	32	p−⌊⌊λi⌋⌋∝	p−⌊⌊λi⌋⌋∝	NOUN
ejpam-6222	186	33	⌋ζi	⌋ζi	NOUN
ejpam-6222	186	34	=	=	PUNCT
ejpam-6222	186	35	⌊λr⌋.	⌊λr⌋.	VERB
ejpam-6222	186	36	since	since	SCONJ
ejpam-6222	186	37	,	,	PUNCT
ejpam-6222	186	38	⌊λ⌊	⌊λ⌊	PROPN
ejpam-6222	186	39	℧	℧	NOUN
ejpam-6222	186	40	⌋∝⌋	⌋∝⌋	NOUN
ejpam-6222	186	41	=	=	SYM
ejpam-6222	186	42	min⌊⌊λ	min⌊⌊λ	PROPN
ejpam-6222	186	43	℧	℧	NOUN
ejpam-6222	186	44	ij⌋⌋∝	ij⌋⌋∝	PROPN
ejpam-6222	186	45	,	,	PUNCT
ejpam-6222	186	46	⌊λ⌊	⌊λ⌊	NOUN
ejpam-6222	186	47	℧	℧	NOUN
ejpam-6222	186	48	⌋∝⌋	⌋∝⌋	NOUN
ejpam-6222	186	49	=	=	SYM
ejpam-6222	186	50	max⌊⌊λ	max⌊⌊λ	PROPN
ejpam-6222	186	51	℧	℧	PROPN
ejpam-6222	186	52	ij⌋⌋∝	ij⌋⌋∝	PRON
ejpam-6222	186	53	and	and	CCONJ
ejpam-6222	186	54	⌊λ⌊	⌊λ⌊	NOUN
ejpam-6222	186	55	℧	℧	NOUN
ejpam-6222	186	56	⌋∝⌋	⌋∝⌋	NOUN
ejpam-6222	186	57	≤	≤	NUM
ejpam-6222	186	58	⌊⌊λ	⌊⌊λ	PROPN
ejpam-6222	186	59	℧	℧	NOUN
ejpam-6222	186	60	ij⌋⌋∝	ij⌋⌋∝	X
ejpam-6222	186	61	≤	≤	NUM
ejpam-6222	186	62	⌊λ⌊	⌊λ⌊	NOUN
ejpam-6222	186	63	℧	℧	NOUN
ejpam-6222	186	64	⌋∝⌋	⌋∝⌋	NOUN
ejpam-6222	186	65	and	and	CCONJ
ejpam-6222	186	66	⌊λ⌊λ⌋∝⌋	⌊λ⌊λ⌋∝⌋	NOUN
ejpam-6222	186	67	=	=	SYM
ejpam-6222	186	68	min⌊⌊λλij⌋⌋∝	min⌊⌊λλij⌋⌋∝	PROPN
ejpam-6222	186	69	,	,	PUNCT
ejpam-6222	186	70	⌊λ⌊λ⌋∝⌋	⌊λ⌊λ⌋∝⌋	NOUN
ejpam-6222	186	71	=	=	SYM
ejpam-6222	186	72	max⌊⌊λλij⌋⌋∝	max⌊⌊λλij⌋⌋∝	NOUN
ejpam-6222	186	73	and	and	CCONJ
ejpam-6222	186	74	⌊λ⌊λ⌋∝⌋	⌊λ⌊λ⌋∝⌋	PROPN
ejpam-6222	186	75	≤	≤	PROPN
ejpam-6222	186	76	⌊⌊λλij⌋⌋∝	⌊⌊λλij⌋⌋∝	VERB
ejpam-6222	186	77	≤	≤	NUM
ejpam-6222	186	78	⌊λ⌊λ⌋∝⌋.	⌊λ⌊λ⌋∝⌋.	NOUN
ejpam-6222	186	79	we	we	PRON
ejpam-6222	186	80	have	have	VERB
ejpam-6222	186	81	,	,	PUNCT
ejpam-6222	186	82	⌊λ⌊	⌊λ⌊	NOUN
ejpam-6222	186	83	℧	℧	NOUN
ejpam-6222	186	84	⌋∝	⌋∝	X
ejpam-6222	186	85	=	=	SYM
ejpam-6222	186	86	△	△	PROPN
ejpam-6222	186	87	z	z	X
ejpam-6222	186	88	i→1⌊λ⌊	i→1⌊λ⌊	NOUN
ejpam-6222	186	89	℧	℧	NOUN
ejpam-6222	186	90	⌋∝⌋	⌋∝⌋	NOUN
ejpam-6222	186	91	ζi	ζi	NOUN
ejpam-6222	186	92	·	·	PUNCT
ejpam-6222	186	93	e	e	X
ejpam-6222	186	94	△	△	X
ejpam-6222	186	95	z	z	PROPN
ejpam-6222	186	96	i→1⌊λ⌊λ⌋∝⌋ζi	i→1⌊λ⌊λ⌋∝⌋ζi	PROPN
ejpam-6222	186	97	≤	≤	NUM
ejpam-6222	186	98	△	△	PROPN
ejpam-6222	186	99	z	z	NOUN
ejpam-6222	186	100	i→1⌊⌊⌊λ	i→1⌊⌊⌊λ	NOUN
ejpam-6222	186	101	℧	℧	PROPN
ejpam-6222	186	102	ij⌋⌋∝⌋ζi	ij⌋⌋∝⌋ζi	PROPN
ejpam-6222	186	103	·	·	PUNCT
ejpam-6222	187	1	e	e	X
ejpam-6222	187	2	△	△	X
ejpam-6222	187	3	z	z	PROPN
ejpam-6222	187	4	i→1⌊⌊⌊λλij⌋⌋∝⌋ζi	i→1⌊⌊⌊λλij⌋⌋∝⌋ζi	PROPN
ejpam-6222	187	5	≤	≤	PUNCT
ejpam-6222	187	6	△	△	PROPN
ejpam-6222	187	7	z	z	X
ejpam-6222	187	8	i→1⌊λ⌊	i→1⌊λ⌊	NOUN
ejpam-6222	187	9	℧	℧	NOUN
ejpam-6222	187	10	⌋∝⌋	⌋∝⌋	NOUN
ejpam-6222	187	11	ζi	ζi	PRON
ejpam-6222	187	12	·	·	PUNCT
ejpam-6222	187	13	e	e	X
ejpam-6222	187	14	△	△	X
ejpam-6222	187	15	z	z	NOUN
ejpam-6222	187	16	i→1⌊λ⌊λ⌋∝⌋	i→1⌊λ⌊λ⌋∝⌋	NUM
ejpam-6222	187	17	ζi	ζi	PROPN
ejpam-6222	187	18	=	=	PUNCT
ejpam-6222	187	19	⌊λ⌊	⌊λ⌊	PROPN
ejpam-6222	187	20	℧	℧	NOUN
ejpam-6222	187	21	⌋∝⌋	⌋∝⌋	NOUN
ejpam-6222	187	22	·	·	PUNCT
ejpam-6222	187	23	e⌊λ⌊λ⌋∝⌋.	e⌊λ⌊λ⌋∝⌋.	PROPN
ejpam-6222	187	24	therefore	therefore	ADV
ejpam-6222	187	25	,	,	PUNCT
ejpam-6222	187	26	1	1	NUM
ejpam-6222	187	27	2	2	NUM
ejpam-6222	187	28	△	△	NOUN
ejpam-6222	187	29			NOUN
ejpam-6222	188	1	[	[	X
ejpam-6222	188	2	⌊	⌊	X
ejpam-6222	188	3	∝	∝	PROPN
ejpam-6222	188	4	√	√	PROPN
ejpam-6222	188	5	p	p	PRON
ejpam-6222	188	6	−	−	PROPN
ejpam-6222	188	7	△	△	NOUN
ejpam-6222	188	8	z	z	NOUN
ejpam-6222	188	9	i→1	i→1	VERB
ejpam-6222	188	10	⌊	⌊	ADP
ejpam-6222	188	11	p	p	NOUN
ejpam-6222	188	12	−⌊⌊λr⌋⌋∝	−⌊⌊λr⌋⌋∝	NOUN
ejpam-6222	188	13	⌋ζi⌋2	⌋ζi⌋2	PUNCT
ejpam-6222	189	1	+	+	CCONJ
ejpam-6222	189	2	p	p	X
ejpam-6222	189	3	−	−	PROPN
ejpam-6222	189	4	⌊	⌊	PROPN
ejpam-6222	189	5	△	△	PROPN
ejpam-6222	189	6	z	z	NOUN
ejpam-6222	189	7	i→1⌊⌊⌊λ	i→1⌊⌊⌊λ	PROPN
ejpam-6222	189	8	℧	℧	PROPN
ejpam-6222	189	9	⌋⌋∝⌋ζi	⌋⌋∝⌋ζi	PROPN
ejpam-6222	189	10	⌋2	⌋2	NOUN
ejpam-6222	189	11	]	]	PUNCT
ejpam-6222	189	12	+	+	CCONJ
ejpam-6222	190	1	[	[	X
ejpam-6222	190	2	⌊	⌊	X
ejpam-6222	190	3	∝	∝	PROPN
ejpam-6222	190	4	√	√	PROPN
ejpam-6222	190	5	p	p	PRON
ejpam-6222	190	6	−	−	PROPN
ejpam-6222	190	7	△	△	NOUN
ejpam-6222	190	8	z	z	NOUN
ejpam-6222	190	9	i→1	i→1	VERB
ejpam-6222	190	10	⌊	⌊	ADP
ejpam-6222	190	11	p	p	NOUN
ejpam-6222	190	12	−⌊⌊λi⌋⌋∝	−⌊⌊λi⌋⌋∝	NOUN
ejpam-6222	190	13	⌋ζi⌋2	⌋ζi⌋2	NOUN
ejpam-6222	190	14	−	−	NOUN
ejpam-6222	190	15	⌊	⌊	PROPN
ejpam-6222	190	16	△	△	NOUN
ejpam-6222	190	17	z	z	PROPN
ejpam-6222	190	18	i→1⌊⌊⌊λλ⌋⌋∝⌋ζi	i→1⌊⌊⌊λλ⌋⌋∝⌋ζi	NOUN
ejpam-6222	190	19	⌋2	⌋2	NOUN
ejpam-6222	190	20	]	]	PUNCT
ejpam-6222	190	21			NOUN
ejpam-6222	190	22	≤	≤	NUM
ejpam-6222	190	23	1	1	NUM
ejpam-6222	190	24	2	2	NUM
ejpam-6222	190	25			NOUN
ejpam-6222	191	1	[	[	X
ejpam-6222	191	2	⌊	⌊	X
ejpam-6222	191	3	∝	∝	PROPN
ejpam-6222	191	4	√	√	PROPN
ejpam-6222	191	5	p	p	PRON
ejpam-6222	191	6	−	−	PROPN
ejpam-6222	191	7	△	△	NOUN
ejpam-6222	191	8	z	z	NOUN
ejpam-6222	191	9	i→1	i→1	VERB
ejpam-6222	192	1	⌊	⌊	ADP
ejpam-6222	192	2	p	p	ADJ
ejpam-6222	192	3	−⌊⌊λ⌊λrij⌋⌋⌋∝	−⌊⌊λ⌊λrij⌋⌋⌋∝	NOUN
ejpam-6222	192	4	⌋ζi⌋2	⌋ζi⌋2	INTJ
ejpam-6222	193	1	+	+	CCONJ
ejpam-6222	193	2	p	p	X
ejpam-6222	193	3	−	−	PROPN
ejpam-6222	193	4	⌊	⌊	PROPN
ejpam-6222	193	5	△	△	PROPN
ejpam-6222	193	6	z	z	NOUN
ejpam-6222	193	7	i→1⌊⌊⌊λ	i→1⌊⌊⌊λ	NOUN
ejpam-6222	193	8	℧	℧	NOUN
ejpam-6222	193	9	ij⌋⌋∝⌋ζi	ij⌋⌋∝⌋ζi	ADJ
ejpam-6222	193	10	⌋2	⌋2	NOUN
ejpam-6222	193	11	]	]	PUNCT
ejpam-6222	194	1	+	+	CCONJ
ejpam-6222	195	1	[	[	X
ejpam-6222	195	2	⌊	⌊	X
ejpam-6222	195	3	∝	∝	PROPN
ejpam-6222	195	4	√	√	PROPN
ejpam-6222	195	5	p	p	PRON
ejpam-6222	195	6	−	−	PROPN
ejpam-6222	195	7	△	△	NOUN
ejpam-6222	195	8	z	z	NOUN
ejpam-6222	195	9	i→1	i→1	VERB
ejpam-6222	195	10	⌊	⌊	ADP
ejpam-6222	195	11	p	p	PRON
ejpam-6222	195	12	−⌊⌊λ⌊λiij⌋⌋⌋∝	−⌊⌊λ⌊λiij⌋⌋⌋∝	NOUN
ejpam-6222	195	13	⌋ζi⌋2	⌋ζi⌋2	ADP
ejpam-6222	195	14	−	−	X
ejpam-6222	195	15	⌊	⌊	PROPN
ejpam-6222	195	16	△	△	PROPN
ejpam-6222	195	17	z	z	PROPN
ejpam-6222	195	18	i→1⌊⌊⌊λλij⌋⌋∝⌋ζi	i→1⌊⌊⌊λλij⌋⌋∝⌋ζi	PROPN
ejpam-6222	195	19	⌋2	⌋2	NOUN
ejpam-6222	195	20	]	]	PUNCT
ejpam-6222	195	21			NOUN
ejpam-6222	195	22	≤	≤	NUM
ejpam-6222	195	23	1	1	NUM
ejpam-6222	195	24	2	2	NUM
ejpam-6222	195	25			NOUN
ejpam-6222	196	1	[	[	X
ejpam-6222	196	2	⌊	⌊	X
ejpam-6222	196	3	∝	∝	PROPN
ejpam-6222	196	4	√	√	PROPN
ejpam-6222	196	5	p	p	PRON
ejpam-6222	196	6	−	−	PROPN
ejpam-6222	196	7	△	△	NOUN
ejpam-6222	196	8	z	z	NOUN
ejpam-6222	196	9	i→1	i→1	VERB
ejpam-6222	196	10	⌊	⌊	ADP
ejpam-6222	196	11	p	p	NOUN
ejpam-6222	196	12	−⌊⌊λr⌋⌋∝	−⌊⌊λr⌋⌋∝	NOUN
ejpam-6222	196	13	⌋ζi⌋2	⌋ζi⌋2	PUNCT
ejpam-6222	197	1	+	+	CCONJ
ejpam-6222	197	2	p	p	X
ejpam-6222	197	3	−	−	PROPN
ejpam-6222	197	4	⌊	⌊	NOUN
ejpam-6222	197	5	△	△	NOUN
ejpam-6222	197	6	z	z	NOUN
ejpam-6222	197	7	i→1⌊⌊λ	i→1⌊⌊λ	NOUN
ejpam-6222	197	8	℧	℧	PROPN
ejpam-6222	197	9	⌋⌋∝⌋ζi	⌋⌋∝⌋ζi	PROPN
ejpam-6222	197	10	⌋2	⌋2	X
ejpam-6222	197	11	]	]	PUNCT
ejpam-6222	198	1	+	+	CCONJ
ejpam-6222	199	1	[	[	X
ejpam-6222	199	2	⌊	⌊	X
ejpam-6222	199	3	∝	∝	PROPN
ejpam-6222	199	4	√	√	PROPN
ejpam-6222	199	5	p	p	PRON
ejpam-6222	199	6	−	−	PROPN
ejpam-6222	199	7	△	△	NOUN
ejpam-6222	199	8	z	z	NOUN
ejpam-6222	199	9	i→1	i→1	VERB
ejpam-6222	199	10	⌊	⌊	ADP
ejpam-6222	199	11	p	p	NOUN
ejpam-6222	199	12	−⌊⌊λi⌋⌋∝	−⌊⌊λi⌋⌋∝	NOUN
ejpam-6222	199	13	⌋ζi⌋2	⌋ζi⌋2	NOUN
ejpam-6222	199	14	−	−	NOUN
ejpam-6222	199	15	⌊	⌊	PROPN
ejpam-6222	199	16	△	△	NOUN
ejpam-6222	199	17	z	z	NOUN
ejpam-6222	199	18	i→1⌊⌊λλ⌋⌋∝⌋ζi	i→1⌊⌊λλ⌋⌋∝⌋ζi	NOUN
ejpam-6222	199	19	⌋2	⌋2	NOUN
ejpam-6222	199	20	]	]	PUNCT
ejpam-6222	199	21			NOUN
ejpam-6222	199	22	.	.	PUNCT
ejpam-6222	200	1	m.	m.	PROPN
ejpam-6222	200	2	palanikumar	palanikumar	PROPN
ejpam-6222	200	3	et	et	PROPN
ejpam-6222	200	4	al	al	PROPN
ejpam-6222	200	5	.	.	PUNCT
ejpam-6222	200	6	/	/	SYM
ejpam-6222	200	7	eur	eur	PROPN
ejpam-6222	200	8	.	.	PUNCT
ejpam-6222	201	1	j.	j.	PROPN
ejpam-6222	201	2	pure	pure	PROPN
ejpam-6222	201	3	appl	appl	PROPN
ejpam-6222	201	4	.	.	PROPN
ejpam-6222	201	5	math	math	PROPN
ejpam-6222	201	6	,	,	PUNCT
ejpam-6222	201	7	18	18	NUM
ejpam-6222	201	8	(	(	PUNCT
ejpam-6222	201	9	3	3	NUM
ejpam-6222	201	10	)	)	PUNCT
ejpam-6222	201	11	(	(	PUNCT
ejpam-6222	201	12	2025	2025	NUM
ejpam-6222	201	13	)	)	PUNCT
ejpam-6222	201	14	,	,	PUNCT
ejpam-6222	201	15	6222	6222	NUM
ejpam-6222	201	16	9	9	NUM
ejpam-6222	201	17	of	of	ADP
ejpam-6222	201	18	14	14	NUM
ejpam-6222	201	19	hence	hence	ADV
ejpam-6222	201	20	,	,	PUNCT
ejpam-6222	201	21	〈	〈	NOUN
ejpam-6222	201	22	⌊λr⌋	⌊λr⌋	NOUN
ejpam-6222	201	23	·	·	PUNCT
ejpam-6222	201	24	e⌊λi⌋	e⌊λi⌋	NOUN
ejpam-6222	201	25	,	,	PUNCT
ejpam-6222	201	26	⌊λ	⌊λ	NOUN
ejpam-6222	201	27	℧	℧	PROPN
ejpam-6222	201	28	⌋	⌋	NOUN
ejpam-6222	201	29	·	·	PUNCT
ejpam-6222	201	30	e⌊λλ⌋	e⌊λλ⌋	NOUN
ejpam-6222	201	31	〉	〉	NOUN
ejpam-6222	201	32	≤	≤	NUM
ejpam-6222	201	33	ctnwa⌊υ1,υ2	ctnwa⌊υ1,υ2	NOUN
ejpam-6222	201	34	,	,	PUNCT
ejpam-6222	201	35	...	...	PUNCT
ejpam-6222	201	36	,	,	PUNCT
ejpam-6222	201	37	υz⌋	υz⌋	NUM
ejpam-6222	201	38	≤	≤	NUM
ejpam-6222	201	39	⟨⌊λr⌋	⟨⌊λr⌋	NOUN
ejpam-6222	201	40	·	·	PUNCT
ejpam-6222	201	41	e⌊λi⌋	e⌊λi⌋	NOUN
ejpam-6222	201	42	,	,	PUNCT
ejpam-6222	201	43	⌊λ	⌊λ	NOUN
ejpam-6222	201	44	℧	℧	PROPN
ejpam-6222	201	45	⌋	⌋	NOUN
ejpam-6222	201	46	·	·	PUNCT
ejpam-6222	201	47	e⌊λλ⌋⟩.	e⌊λλ⌋⟩.	NOUN
ejpam-6222	201	48	theorem	theorem	NOUN
ejpam-6222	201	49	4	4	NUM
ejpam-6222	201	50	.	.	PUNCT
ejpam-6222	202	1	let	let	VERB
ejpam-6222	202	2	υi	υi	NOUN
ejpam-6222	202	3	=	=	PUNCT
ejpam-6222	202	4	⟨⌊⌊λrtij⌋	⟨⌊⌊λrtij⌋	X
ejpam-6222	202	5	·	·	PUNCT
ejpam-6222	203	1	e⌊λitij	e⌊λitij	NOUN
ejpam-6222	203	2	⌋	⌋	NOUN
ejpam-6222	203	3	,	,	PUNCT
ejpam-6222	203	4	⌊λ	⌊λ	NOUN
ejpam-6222	203	5	℧	℧	PROPN
ejpam-6222	203	6	tij⌋	tij⌋	X
ejpam-6222	203	7	·	·	PUNCT
ejpam-6222	203	8	e⌊λλtij	e⌊λλtij	PROPN
ejpam-6222	203	9	⌋⌋⟩	⌋⌋⟩	PROPN
ejpam-6222	203	10	and	and	CCONJ
ejpam-6222	203	11	wi	wi	PROPN
ejpam-6222	203	12	=	=	SYM
ejpam-6222	203	13	⟨⌊⌊λrhij	⟨⌊⌊λrhij	PROPN
ejpam-6222	203	14	⌋	⌋	NOUN
ejpam-6222	203	15	·	·	PUNCT
ejpam-6222	204	1	e	e	X
ejpam-6222	204	2	⌊λihij	⌊λihij	NOUN
ejpam-6222	204	3	⌋	⌋	NOUN
ejpam-6222	204	4	,	,	PUNCT
ejpam-6222	204	5	⌊λ	⌊λ	NOUN
ejpam-6222	204	6	℧	℧	PROPN
ejpam-6222	204	7	hij	hij	PROPN
ejpam-6222	204	8	⌋	⌋	NOUN
ejpam-6222	204	9	·	·	PUNCT
ejpam-6222	204	10	e⌊λλhij	e⌊λλhij	VERB
ejpam-6222	204	11	⌋⌋⟩	⌋⌋⟩	PROPN
ejpam-6222	204	12	,	,	PUNCT
ejpam-6222	204	13	be	be	AUX
ejpam-6222	204	14	the	the	DET
ejpam-6222	204	15	csrfffnwas	csrfffnwas	NOUN
ejpam-6222	204	16	.	.	PUNCT
ejpam-6222	205	1	for	for	ADP
ejpam-6222	205	2	any	any	DET
ejpam-6222	205	3	i	i	PRON
ejpam-6222	205	4	,	,	PUNCT
ejpam-6222	205	5	if	if	SCONJ
ejpam-6222	205	6	there	there	PRON
ejpam-6222	205	7	is	be	VERB
ejpam-6222	205	8	⌊λrtij⌋2	⌊λrtij⌋2	ADV
ejpam-6222	205	9	≤	≤	ADJ
ejpam-6222	205	10	⌊λrhij	⌊λrhij	NOUN
ejpam-6222	205	11	⌋2	⌋2	NOUN
ejpam-6222	205	12	and	and	CCONJ
ejpam-6222	205	13	⌊λ	⌊λ	NOUN
ejpam-6222	205	14	℧	℧	PROPN
ejpam-6222	205	15	tij⌋2	tij⌋2	PROPN
ejpam-6222	205	16	≥	≥	NUM
ejpam-6222	205	17	⌊λ	⌊λ	NOUN
ejpam-6222	205	18	℧	℧	PROPN
ejpam-6222	205	19	hij	hij	NOUN
ejpam-6222	205	20	⌋2	⌋2	NOUN
ejpam-6222	205	21	and	and	CCONJ
ejpam-6222	205	22	⌊λitij⌋2	⌊λitij⌋2	NOUN
ejpam-6222	205	23	≤	≤	NOUN
ejpam-6222	205	24	⌊λihij	⌊λihij	NUM
ejpam-6222	205	25	⌋2	⌋2	NOUN
ejpam-6222	205	26	and	and	CCONJ
ejpam-6222	205	27	⌊λλtij⌋2	⌊λλtij⌋2	NOUN
ejpam-6222	205	28	≥	≥	NOUN
ejpam-6222	205	29	⌊λλhij	⌊λλhij	NOUN
ejpam-6222	205	30	⌋2or	⌋2or	PUNCT
ejpam-6222	205	31	υi	υi	PROPN
ejpam-6222	205	32	≤	≤	PROPN
ejpam-6222	205	33	wi	wi	PROPN
ejpam-6222	205	34	.	.	PROPN
ejpam-6222	206	1	prove	prove	VERB
ejpam-6222	206	2	that	that	SCONJ
ejpam-6222	206	3	ctnwa⌊υ1,υ2	ctnwa⌊υ1,υ2	NOUN
ejpam-6222	206	4	,	,	PUNCT
ejpam-6222	206	5	...	...	PUNCT
ejpam-6222	206	6	,	,	PUNCT
ejpam-6222	206	7	υz⌋	υz⌋	NUM
ejpam-6222	206	8	≤	≤	NUM
ejpam-6222	206	9	ctnwa(w1,w2	ctnwa(w1,w2	PROPN
ejpam-6222	206	10	,	,	PUNCT
ejpam-6222	206	11	...	...	PUNCT
ejpam-6222	206	12	,	,	PUNCT
ejpam-6222	206	13	wz	wz	PROPN
ejpam-6222	206	14	)	)	PUNCT
ejpam-6222	206	15	,	,	PUNCT
ejpam-6222	206	16	where	where	SCONJ
ejpam-6222	206	17	⌊i	⌊i	X
ejpam-6222	206	18	=	=	SYM
ejpam-6222	206	19	1	1	NUM
ejpam-6222	206	20	,	,	PUNCT
ejpam-6222	206	21	2	2	NUM
ejpam-6222	206	22	,	,	PUNCT
ejpam-6222	206	23	...	...	PUNCT
ejpam-6222	206	24	,	,	PUNCT
ejpam-6222	206	25	z⌋	z⌋	PROPN
ejpam-6222	206	26	;	;	PUNCT
ejpam-6222	206	27	⌊j	⌊j	PROPN
ejpam-6222	206	28	=	=	SYM
ejpam-6222	206	29	1	1	NUM
ejpam-6222	206	30	,	,	PUNCT
ejpam-6222	206	31	2	2	NUM
ejpam-6222	206	32	,	,	PUNCT
ejpam-6222	206	33	...	...	PUNCT
ejpam-6222	206	34	,	,	PUNCT
ejpam-6222	206	35	ij⌋.	ij⌋.	NOUN
ejpam-6222	206	36	proof	proof	NOUN
ejpam-6222	206	37	.	.	PUNCT
ejpam-6222	207	1	for	for	ADP
ejpam-6222	207	2	any	any	DET
ejpam-6222	207	3	i	i	PROPN
ejpam-6222	207	4	,	,	PUNCT
ejpam-6222	207	5	⌊λrtij⌋2	⌊λrtij⌋2	ADV
ejpam-6222	207	6	≤	≤	ADJ
ejpam-6222	207	7	⌊λrhij	⌊λrhij	NOUN
ejpam-6222	207	8	⌋2	⌋2	NOUN
ejpam-6222	207	9	and	and	CCONJ
ejpam-6222	207	10	p	p	NOUN
ejpam-6222	207	11	−⌊⌊λrti⌋⌋2	−⌊⌊λrti⌋⌋2	NUM
ejpam-6222	207	12	≥p	≥p	NUM
ejpam-6222	207	13	−⌊⌊λrhi	−⌊⌊λrhi	NOUN
ejpam-6222	207	14	⌋⌋2	⌋⌋2	NUM
ejpam-6222	207	15	.	.	PUNCT
ejpam-6222	208	1	hence	hence	ADV
ejpam-6222	208	2	,	,	PUNCT
ejpam-6222	208	3	△	△	X
ejpam-6222	208	4	z	z	NOUN
ejpam-6222	208	5	i→1	i→1	VERB
ejpam-6222	208	6	⌊	⌊	ADP
ejpam-6222	208	7	p	p	NOUN
ejpam-6222	208	8	−⌊⌊λrti⌋⌋	−⌊⌊λrti⌋⌋	NOUN
ejpam-6222	208	9	2	2	NUM
ejpam-6222	208	10	⌋ζi	⌋ζi	X
ejpam-6222	208	11	≥	≥	NUM
ejpam-6222	208	12	△	△	NOUN
ejpam-6222	208	13	z	z	NOUN
ejpam-6222	208	14	i→1	i→1	VERB
ejpam-6222	208	15	⌊	⌊	ADP
ejpam-6222	208	16	p	p	X
ejpam-6222	208	17	−⌊⌊λrhi	−⌊⌊λrhi	PROPN
ejpam-6222	208	18	⌋⌋2	⌋⌋2	NUM
ejpam-6222	208	19	⌋ζi	⌋ζi	NOUN
ejpam-6222	208	20	and	and	CCONJ
ejpam-6222	208	21	∝	∝	PROPN
ejpam-6222	208	22	√	√	PROPN
ejpam-6222	208	23	p	p	PRON
ejpam-6222	208	24	−	−	PROPN
ejpam-6222	208	25	△	△	NOUN
ejpam-6222	208	26	z	z	NOUN
ejpam-6222	208	27	i→1	i→1	VERB
ejpam-6222	208	28	⌊	⌊	ADP
ejpam-6222	208	29	p	p	NOUN
ejpam-6222	208	30	−⌊⌊λrti⌋⌋	−⌊⌊λrti⌋⌋	NOUN
ejpam-6222	208	31	∝	∝	PROPN
ejpam-6222	208	32	⌋ζi	⌋ζi	NOUN
ejpam-6222	208	33	≤	≤	NUM
ejpam-6222	208	34	∝	∝	PROPN
ejpam-6222	208	35	√	√	ADP
ejpam-6222	208	36	p	p	PRON
ejpam-6222	208	37	−	−	PROPN
ejpam-6222	208	38	△	△	NOUN
ejpam-6222	208	39	z	z	NOUN
ejpam-6222	208	40	i→1	i→1	VERB
ejpam-6222	208	41	⌊	⌊	ADP
ejpam-6222	208	42	p	p	X
ejpam-6222	208	43	−⌊⌊λrhi	−⌊⌊λrhi	PROPN
ejpam-6222	208	44	⌋⌋∝	⌋⌋∝	NOUN
ejpam-6222	208	45	⌋ζi	⌋ζi	NOUN
ejpam-6222	208	46	.	.	PUNCT
ejpam-6222	209	1	similarly	similarly	ADV
ejpam-6222	209	2	,	,	PUNCT
ejpam-6222	209	3	⌊λitij⌋2	⌊λitij⌋2	NOUN
ejpam-6222	209	4	≤	≤	ADJ
ejpam-6222	209	5	⌊λihij	⌊λihij	NUM
ejpam-6222	209	6	⌋2	⌋2	NOUN
ejpam-6222	209	7	and	and	CCONJ
ejpam-6222	209	8	p	p	NOUN
ejpam-6222	209	9	−⌊⌊λiti⌋⌋2	−⌊⌊λiti⌋⌋2	PROPN
ejpam-6222	209	10	≥p	≥p	CCONJ
ejpam-6222	209	11	−⌊⌊λihi	−⌊⌊λihi	PROPN
ejpam-6222	209	12	⌋⌋2	⌋⌋2	NUM
ejpam-6222	209	13	.	.	PUNCT
ejpam-6222	210	1	hence	hence	ADV
ejpam-6222	210	2	,	,	PUNCT
ejpam-6222	210	3	△	△	X
ejpam-6222	210	4	z	z	NOUN
ejpam-6222	210	5	i→1	i→1	VERB
ejpam-6222	210	6	⌊	⌊	ADP
ejpam-6222	210	7	p	p	X
ejpam-6222	210	8	−⌊⌊λiti⌋⌋	−⌊⌊λiti⌋⌋	NUM
ejpam-6222	210	9	2	2	NUM
ejpam-6222	210	10	⌋ζi	⌋ζi	X
ejpam-6222	210	11	≥	≥	NUM
ejpam-6222	210	12	△	△	NOUN
ejpam-6222	210	13	z	z	NOUN
ejpam-6222	210	14	i→1	i→1	VERB
ejpam-6222	210	15	⌊	⌊	ADP
ejpam-6222	210	16	p	p	PROPN
ejpam-6222	210	17	−⌊⌊λihi	−⌊⌊λihi	PROPN
ejpam-6222	210	18	⌋⌋2	⌋⌋2	NUM
ejpam-6222	210	19	⌋ζi	⌋ζi	NOUN
ejpam-6222	210	20	and	and	CCONJ
ejpam-6222	210	21	∝	∝	PROPN
ejpam-6222	211	1	√	√	PROPN
ejpam-6222	211	2	p	p	PRON
ejpam-6222	211	3	−	−	PROPN
ejpam-6222	211	4	△	△	NOUN
ejpam-6222	211	5	z	z	NOUN
ejpam-6222	211	6	i→1	i→1	VERB
ejpam-6222	211	7	⌊	⌊	ADP
ejpam-6222	211	8	p	p	X
ejpam-6222	211	9	−⌊⌊λiti⌋⌋	−⌊⌊λiti⌋⌋	NUM
ejpam-6222	211	10	∝	∝	PROPN
ejpam-6222	211	11	⌋ζi	⌋ζi	NOUN
ejpam-6222	211	12	≤	≤	NUM
ejpam-6222	211	13	∝	∝	PROPN
ejpam-6222	211	14	√	√	ADP
ejpam-6222	211	15	p	p	PRON
ejpam-6222	211	16	−	−	PROPN
ejpam-6222	211	17	△	△	NOUN
ejpam-6222	211	18	z	z	NOUN
ejpam-6222	211	19	i→1	i→1	VERB
ejpam-6222	211	20	⌊	⌊	ADP
ejpam-6222	211	21	p	p	NOUN
ejpam-6222	211	22	−⌊⌊λihi	−⌊⌊λihi	PROPN
ejpam-6222	211	23	⌋⌋∝	⌋⌋∝	PUNCT
ejpam-6222	211	24	⌋ζi	⌋ζi	NOUN
ejpam-6222	211	25	.	.	PUNCT
ejpam-6222	212	1	for	for	ADP
ejpam-6222	212	2	any	any	DET
ejpam-6222	212	3	i	i	PROPN
ejpam-6222	212	4	,	,	PUNCT
ejpam-6222	212	5	⌊	⌊	PROPN
ejpam-6222	212	6	⌊λ	⌊λ	NOUN
ejpam-6222	212	7	℧	℧	PROPN
ejpam-6222	212	8	tij⌋	tij⌋	X
ejpam-6222	212	9	⌋2	⌋2	X
ejpam-6222	212	10	≥	≥	NOUN
ejpam-6222	212	11	⌊	⌊	PART
ejpam-6222	212	12	⌊λ	⌊λ	NOUN
ejpam-6222	212	13	℧	℧	PROPN
ejpam-6222	212	14	hij	hij	NOUN
ejpam-6222	212	15	⌋	⌋	NOUN
ejpam-6222	212	16	⌋2	⌋2	NOUN
ejpam-6222	212	17	and	and	CCONJ
ejpam-6222	212	18	⌊	⌊	PROPN
ejpam-6222	212	19	⌊λ	⌊λ	NOUN
ejpam-6222	212	20	℧	℧	PROPN
ejpam-6222	212	21	tij⌋	tij⌋	X
ejpam-6222	212	22	⌋∝	⌋∝	NOUN
ejpam-6222	212	23	≥	≥	NUM
ejpam-6222	212	24	⌊	⌊	PART
ejpam-6222	212	25	⌊λ	⌊λ	NOUN
ejpam-6222	212	26	℧	℧	PROPN
ejpam-6222	212	27	hij	hij	NOUN
ejpam-6222	212	28	⌋	⌋	NOUN
ejpam-6222	212	29	⌋∝	⌋∝	PROPN
ejpam-6222	212	30	.	.	PUNCT
ejpam-6222	213	1	therefore	therefore	ADV
ejpam-6222	213	2	,	,	PUNCT
ejpam-6222	213	3	p	p	X
ejpam-6222	213	4	−	−	PROPN
ejpam-6222	213	5	⌊	⌊	PROPN
ejpam-6222	213	6	△	△	PROPN
ejpam-6222	213	7	z	z	PROPN
ejpam-6222	213	8	i→1⌊λ	i→1⌊λ	PROPN
ejpam-6222	213	9	℧	℧	NOUN
ejpam-6222	213	10	tij⌋	tij⌋	NOUN
ejpam-6222	213	11	⌋∝	⌋∝	NOUN
ejpam-6222	213	12	≤p	≤p	NOUN
ejpam-6222	213	13	−	−	PROPN
ejpam-6222	213	14	⌊	⌊	PROPN
ejpam-6222	213	15	△	△	PROPN
ejpam-6222	213	16	z	z	PROPN
ejpam-6222	213	17	i→1⌊λ	i→1⌊λ	PROPN
ejpam-6222	213	18	℧	℧	NOUN
ejpam-6222	213	19	hij	hij	NOUN
ejpam-6222	213	20	⌋	⌋	NOUN
ejpam-6222	213	21	⌋∝	⌋∝	PROPN
ejpam-6222	213	22	.	.	PUNCT
ejpam-6222	214	1	similarly	similarly	ADV
ejpam-6222	214	2	,	,	PUNCT
ejpam-6222	214	3	for	for	ADP
ejpam-6222	214	4	any	any	DET
ejpam-6222	214	5	i,⌊	i,⌊	NOUN
ejpam-6222	214	6	⌊λλtij⌋	⌊λλtij⌋	VERB
ejpam-6222	214	7	⌋2	⌋2	X
ejpam-6222	214	8	≥	≥	NOUN
ejpam-6222	214	9	⌊	⌊	PROPN
ejpam-6222	214	10	⌊λλhij	⌊λλhij	ADJ
ejpam-6222	214	11	⌋	⌋	ADJ
ejpam-6222	214	12	⌋2	⌋2	NOUN
ejpam-6222	214	13	and	and	CCONJ
ejpam-6222	214	14	⌊	⌊	AUX
ejpam-6222	214	15	⌊λλtij⌋	⌊λλtij⌋	VERB
ejpam-6222	214	16	⌋∝	⌋∝	PRON
ejpam-6222	214	17	≥	≥	NOUN
ejpam-6222	214	18	⌊	⌊	ADP
ejpam-6222	214	19	⌊λλhij	⌊λλhij	NOUN
ejpam-6222	214	20	⌋	⌋	ADJ
ejpam-6222	214	21	⌋∝	⌋∝	NOUN
ejpam-6222	214	22	.	.	PUNCT
ejpam-6222	215	1	therefore	therefore	ADV
ejpam-6222	215	2	,	,	PUNCT
ejpam-6222	215	3	−	−	PROPN
ejpam-6222	215	4	⌊	⌊	PROPN
ejpam-6222	215	5	△	△	NOUN
ejpam-6222	215	6	z	z	NOUN
ejpam-6222	215	7	i→1⌊λλtij⌋	i→1⌊λλtij⌋	VERB
ejpam-6222	215	8	⌋∝	⌋∝	NOUN
ejpam-6222	215	9	≤	≤	NOUN
ejpam-6222	215	10	−	−	NUM
ejpam-6222	215	11	⌊	⌊	PROPN
ejpam-6222	215	12	△	△	PROPN
ejpam-6222	215	13	z	z	PROPN
ejpam-6222	215	14	i→1⌊λλhij	i→1⌊λλhij	NOUN
ejpam-6222	215	15	⌋	⌋	NOUN
ejpam-6222	215	16	⌋∝	⌋∝	PROPN
ejpam-6222	215	17	.	.	PUNCT
ejpam-6222	216	1	hence	hence	ADV
ejpam-6222	216	2	,	,	PUNCT
ejpam-6222	216	3	1	1	NUM
ejpam-6222	216	4	2	2	NUM
ejpam-6222	216	5			NUM
ejpam-6222	216	6			NOUN
ejpam-6222	216	7	⌊	⌊	AUX
ejpam-6222	216	8	∝	∝	PROPN
ejpam-6222	216	9	√	√	PROPN
ejpam-6222	216	10	p	p	PRON
ejpam-6222	216	11	−	−	PROPN
ejpam-6222	216	12	△	△	NOUN
ejpam-6222	216	13	z	z	NOUN
ejpam-6222	216	14	i→1	i→1	VERB
ejpam-6222	216	15	⌊	⌊	ADP
ejpam-6222	216	16	p	p	NOUN
ejpam-6222	216	17	−⌊⌊λrti⌋⌋∝	−⌊⌊λrti⌋⌋∝	NOUN
ejpam-6222	216	18	⌋ζi⌋2	⌋ζi⌋2	ADP
ejpam-6222	216	19	+1−	+1−	PROPN
ejpam-6222	216	20	⌊	⌊	PROPN
ejpam-6222	216	21	△	△	NOUN
ejpam-6222	216	22	z	z	NOUN
ejpam-6222	216	23	i→1⌊⌊λ	i→1⌊⌊λ	NOUN
ejpam-6222	216	24	℧	℧	NOUN
ejpam-6222	216	25	ti⌋⌋∝	ti⌋⌋∝	NOUN
ejpam-6222	216	26	⌋2	⌋2	NOUN
ejpam-6222	216	27	+	+	VERB
ejpam-6222	216	28			NUM
ejpam-6222	216	29	⌊	⌊	VERB
ejpam-6222	216	30	∝	∝	NOUN
ejpam-6222	216	31	√	√	PROPN
ejpam-6222	216	32	p	p	PRON
ejpam-6222	216	33	−	−	PROPN
ejpam-6222	216	34	△	△	NOUN
ejpam-6222	216	35	z	z	NOUN
ejpam-6222	216	36	i→1	i→1	VERB
ejpam-6222	216	37	⌊	⌊	ADP
ejpam-6222	216	38	p	p	X
ejpam-6222	216	39	−⌊⌊λiti⌋⌋∝	−⌊⌊λiti⌋⌋∝	PRON
ejpam-6222	216	40	⌋ζi⌋2	⌋ζi⌋2	ADP
ejpam-6222	216	41	−	−	X
ejpam-6222	216	42	⌊	⌊	PROPN
ejpam-6222	216	43	△	△	PROPN
ejpam-6222	216	44	z	z	NOUN
ejpam-6222	216	45	i→1⌊⌊λλti⌋⌋∝	i→1⌊⌊λλti⌋⌋∝	NOUN
ejpam-6222	216	46	⌋2	⌋2	NOUN
ejpam-6222	217	1			PRON
ejpam-6222	217	2			NUM
ejpam-6222	217	3	≤	≤	NUM
ejpam-6222	217	4	1	1	NUM
ejpam-6222	217	5	2	2	NUM
ejpam-6222	217	6			NUM
ejpam-6222	217	7			NOUN
ejpam-6222	218	1	⌊	⌊	AUX
ejpam-6222	218	2	∝	∝	PROPN
ejpam-6222	218	3	√	√	PROPN
ejpam-6222	218	4	p	p	PRON
ejpam-6222	218	5	−	−	PROPN
ejpam-6222	218	6	△	△	NOUN
ejpam-6222	218	7	z	z	NOUN
ejpam-6222	218	8	i→1	i→1	VERB
ejpam-6222	218	9	⌊	⌊	ADP
ejpam-6222	218	10	p	p	NOUN
ejpam-6222	218	11	−⌊⌊λrhi⌋⌋∝	−⌊⌊λrhi⌋⌋∝	NOUN
ejpam-6222	218	12	⌋ζi⌋2	⌋ζi⌋2	INTJ
ejpam-6222	218	13	+1−	+1−	PROPN
ejpam-6222	218	14	⌊	⌊	PROPN
ejpam-6222	218	15	△	△	NOUN
ejpam-6222	218	16	z	z	NOUN
ejpam-6222	218	17	i→1⌊⌊λ	i→1⌊⌊λ	NOUN
ejpam-6222	218	18	℧	℧	NOUN
ejpam-6222	218	19	hi	hi	PROPN
ejpam-6222	218	20	⌋⌋∝	⌋⌋∝	NOUN
ejpam-6222	218	21	⌋2	⌋2	NOUN
ejpam-6222	218	22	+	+	VERB
ejpam-6222	218	23			NUM
ejpam-6222	218	24	⌊	⌊	VERB
ejpam-6222	218	25	∝	∝	NOUN
ejpam-6222	218	26	√	√	PROPN
ejpam-6222	218	27	p	p	PRON
ejpam-6222	218	28	−	−	PROPN
ejpam-6222	218	29	△	△	NOUN
ejpam-6222	218	30	z	z	NOUN
ejpam-6222	218	31	i→1	i→1	VERB
ejpam-6222	218	32	⌊	⌊	ADP
ejpam-6222	218	33	p	p	NOUN
ejpam-6222	218	34	−⌊⌊λihi⌋⌋∝	−⌊⌊λihi⌋⌋∝	NOUN
ejpam-6222	218	35	⌋ζi⌋2	⌋ζi⌋2	INTJ
ejpam-6222	218	36	−	−	X
ejpam-6222	218	37	⌊	⌊	PROPN
ejpam-6222	218	38	△	△	NOUN
ejpam-6222	218	39	z	z	NOUN
ejpam-6222	218	40	i→1⌊⌊λλhi	i→1⌊⌊λλhi	NOUN
ejpam-6222	218	41	⌋⌋∝	⌋⌋∝	NOUN
ejpam-6222	218	42	⌋2	⌋2	NOUN
ejpam-6222	219	1			NUM
ejpam-6222	219	2			NUM
ejpam-6222	219	3	.	.	PUNCT
ejpam-6222	220	1	hence	hence	ADV
ejpam-6222	220	2	,	,	PUNCT
ejpam-6222	220	3	ctnwa	ctnwa	NOUN
ejpam-6222	220	4	⌊υ1,υ2	⌊υ1,υ2	NOUN
ejpam-6222	220	5	,	,	PUNCT
ejpam-6222	220	6	...	...	PUNCT
ejpam-6222	220	7	,	,	PUNCT
ejpam-6222	220	8	υz⌋	υz⌋	NUM
ejpam-6222	220	9	≤	≤	NUM
ejpam-6222	220	10	ctnwa	ctnwa	NOUN
ejpam-6222	220	11	⌊w1,w2	⌊w1,w2	PROPN
ejpam-6222	220	12	,	,	PUNCT
ejpam-6222	220	13	...	...	PUNCT
ejpam-6222	220	14	,	,	PUNCT
ejpam-6222	220	15	wz⌋.	wz⌋.	PROPN
ejpam-6222	220	16	3.2	3.2	NUM
ejpam-6222	220	17	.	.	PUNCT
ejpam-6222	221	1	csrfffnwg	csrfffnwg	ADJ
ejpam-6222	221	2	definition	definition	NOUN
ejpam-6222	221	3	5	5	NUM
ejpam-6222	221	4	.	.	PUNCT
ejpam-6222	222	1	let	let	VERB
ejpam-6222	222	2	υi	υi	NOUN
ejpam-6222	222	3	=	=	VERB
ejpam-6222	222	4	〈	〈	PROPN
ejpam-6222	222	5	⌊	⌊	PROPN
ejpam-6222	222	6	⌊⌊λri⌋	⌊⌊λri⌋	NOUN
ejpam-6222	222	7	·	·	PUNCT
ejpam-6222	223	1	e⌊λii⌋	e⌊λii⌋	NOUN
ejpam-6222	223	2	,	,	PUNCT
ejpam-6222	223	3	⌊λ	⌊λ	PRON
ejpam-6222	223	4	℧	℧	PROPN
ejpam-6222	223	5	i⌋	i⌋	PROPN
ejpam-6222	223	6	·	·	SYM
ejpam-6222	223	7	e⌊λλi⌋⌋	e⌊λλi⌋⌋	NOUN
ejpam-6222	223	8	⌋	⌋	NOUN
ejpam-6222	223	9	〉	〉	NOUN
ejpam-6222	223	10	be	be	VERB
ejpam-6222	223	11	the	the	DET
ejpam-6222	223	12	csrfffns	csrfffns	NOUN
ejpam-6222	223	13	.	.	PUNCT
ejpam-6222	224	1	then	then	ADV
ejpam-6222	224	2	the	the	DET
ejpam-6222	224	3	ao	ao	PROPN
ejpam-6222	224	4	rfffnwg	rfffnwg	NOUN
ejpam-6222	224	5	is	be	AUX
ejpam-6222	224	6	defined	define	VERB
ejpam-6222	224	7	as	as	ADP
ejpam-6222	224	8	⌊υ1,υ2	⌊υ1,υ2	ADV
ejpam-6222	224	9	,	,	PUNCT
ejpam-6222	224	10	...	...	PUNCT
ejpam-6222	224	11	,	,	PUNCT
ejpam-6222	224	12	υz⌋	υz⌋	NUM
ejpam-6222	224	13	=	=	SYM
ejpam-6222	224	14	△	△	PROPN
ejpam-6222	224	15	z	z	X
ejpam-6222	224	16	i→1υ	i→1υ	NOUN
ejpam-6222	224	17	ζi	ζi	PROPN
ejpam-6222	224	18	i	i	PRON
ejpam-6222	224	19	.	.	PUNCT
ejpam-6222	225	1	corollary	corollary	ADJ
ejpam-6222	225	2	1	1	NUM
ejpam-6222	225	3	.	.	PUNCT
ejpam-6222	226	1	let	let	VERB
ejpam-6222	226	2	υi	υi	NOUN
ejpam-6222	226	3	=	=	VERB
ejpam-6222	226	4	〈	〈	PROPN
ejpam-6222	226	5	⌊	⌊	PROPN
ejpam-6222	226	6	⌊⌊λri⌋	⌊⌊λri⌋	NOUN
ejpam-6222	226	7	·	·	PUNCT
ejpam-6222	227	1	e⌊λii⌋	e⌊λii⌋	NOUN
ejpam-6222	227	2	,	,	PUNCT
ejpam-6222	227	3	⌊λ	⌊λ	PRON
ejpam-6222	227	4	℧	℧	PROPN
ejpam-6222	227	5	i⌋	i⌋	PROPN
ejpam-6222	227	6	·	·	SYM
ejpam-6222	227	7	e⌊λλi⌋⌋	e⌊λλi⌋⌋	NOUN
ejpam-6222	227	8	⌋	⌋	NOUN
ejpam-6222	227	9	〉	〉	NOUN
ejpam-6222	227	10	be	be	VERB
ejpam-6222	227	11	the	the	DET
ejpam-6222	227	12	csrfffns	csrfffns	NOUN
ejpam-6222	227	13	.	.	PUNCT
ejpam-6222	228	1	then	then	ADV
ejpam-6222	228	2	the	the	DET
ejpam-6222	228	3	ao	ao	PROPN
ejpam-6222	228	4	csrfffnwg	csrfffnwg	NOUN
ejpam-6222	228	5	is	be	AUX
ejpam-6222	228	6	determined	determine	VERB
ejpam-6222	228	7	as	as	ADP
ejpam-6222	228	8	⌊υ1,υ2	⌊υ1,υ2	ADV
ejpam-6222	228	9	,	,	PUNCT
ejpam-6222	228	10	...	...	PUNCT
ejpam-6222	228	11	,	,	PUNCT
ejpam-6222	228	12	υz⌋	υz⌋	NUM
ejpam-6222	228	13	m.	m.	PROPN
ejpam-6222	228	14	palanikumar	palanikumar	PROPN
ejpam-6222	228	15	et	et	PROPN
ejpam-6222	228	16	al	al	PROPN
ejpam-6222	228	17	.	.	PUNCT
ejpam-6222	228	18	/	/	SYM
ejpam-6222	228	19	eur	eur	PROPN
ejpam-6222	228	20	.	.	PUNCT
ejpam-6222	229	1	j.	j.	PROPN
ejpam-6222	229	2	pure	pure	PROPN
ejpam-6222	229	3	appl	appl	PROPN
ejpam-6222	229	4	.	.	PROPN
ejpam-6222	229	5	math	math	PROPN
ejpam-6222	229	6	,	,	PUNCT
ejpam-6222	229	7	18	18	NUM
ejpam-6222	229	8	(	(	PUNCT
ejpam-6222	229	9	3	3	NUM
ejpam-6222	229	10	)	)	PUNCT
ejpam-6222	229	11	(	(	PUNCT
ejpam-6222	229	12	2025	2025	NUM
ejpam-6222	229	13	)	)	PUNCT
ejpam-6222	229	14	,	,	PUNCT
ejpam-6222	229	15	6222	6222	NUM
ejpam-6222	229	16	10	10	NUM
ejpam-6222	229	17	of	of	ADP
ejpam-6222	229	18	14	14	NUM
ejpam-6222	229	19	=	=	SYM
ejpam-6222	229	20			PRON
ejpam-6222	229	21	△	△	PROPN
ejpam-6222	229	22	z	z	NOUN
ejpam-6222	229	23	i→1⌊⌊⌊λri⌋⌋∝⌋ζi	i→1⌊⌊⌊λri⌋⌋∝⌋ζi	NOUN
ejpam-6222	229	24	·	·	PUNCT
ejpam-6222	230	1	e	e	X
ejpam-6222	230	2	△	△	X
ejpam-6222	230	3	z	z	NOUN
ejpam-6222	230	4	i→1⌊⌊⌊λii⌋⌋∝⌋ζi	i→1⌊⌊⌊λii⌋⌋∝⌋ζi	NOUN
ejpam-6222	230	5	∝	∝	NOUN
ejpam-6222	230	6	√	√	PROPN
ejpam-6222	230	7	p	p	PRON
ejpam-6222	230	8	−	−	PROPN
ejpam-6222	230	9	△	△	NOUN
ejpam-6222	230	10	z	z	NOUN
ejpam-6222	230	11	i→1	i→1	VERB
ejpam-6222	230	12	⌊	⌊	ADP
ejpam-6222	230	13	p	p	NOUN
ejpam-6222	230	14	−⌊⌊λ	−⌊⌊λ	PUNCT
ejpam-6222	230	15	℧	℧	NOUN
ejpam-6222	230	16	i⌋⌋∝	i⌋⌋∝	NOUN
ejpam-6222	230	17	⌋ζi	⌋ζi	NOUN
ejpam-6222	230	18	·	·	PUNCT
ejpam-6222	230	19	e	e	X
ejpam-6222	230	20	∝	∝	NOUN
ejpam-6222	230	21	√	√	NUM
ejpam-6222	230	22	p−	p−	PROPN
ejpam-6222	230	23	△	△	NOUN
ejpam-6222	230	24	z	z	NOUN
ejpam-6222	230	25	i→1	i→1	VERB
ejpam-6222	230	26	⌊	⌊	PROPN
ejpam-6222	230	27	p−⌊⌊λλi⌋⌋∝	p−⌊⌊λλi⌋⌋∝	NOUN
ejpam-6222	230	28	⌋ζi	⌋ζi	VERB
ejpam-6222	230	29			ADV
ejpam-6222	230	30	.	.	PUNCT
ejpam-6222	231	1	corollary	corollary	ADJ
ejpam-6222	231	2	2	2	NUM
ejpam-6222	231	3	.	.	PUNCT
ejpam-6222	232	1	(	(	PUNCT
ejpam-6222	232	2	i	i	NOUN
ejpam-6222	232	3	)	)	PUNCT
ejpam-6222	232	4	let	let	VERB
ejpam-6222	232	5	υi	υi	NOUN
ejpam-6222	232	6	=	=	VERB
ejpam-6222	232	7	〈	〈	PROPN
ejpam-6222	232	8	⌊	⌊	PROPN
ejpam-6222	232	9	⌊⌊λri⌋	⌊⌊λri⌋	NOUN
ejpam-6222	232	10	·	·	PUNCT
ejpam-6222	233	1	e⌊λii⌋	e⌊λii⌋	NOUN
ejpam-6222	233	2	,	,	PUNCT
ejpam-6222	233	3	⌊λ	⌊λ	PRON
ejpam-6222	233	4	℧	℧	PROPN
ejpam-6222	233	5	i⌋	i⌋	PROPN
ejpam-6222	233	6	·	·	SYM
ejpam-6222	233	7	e⌊λλi⌋⌋	e⌊λλi⌋⌋	NOUN
ejpam-6222	233	8	⌋	⌋	NOUN
ejpam-6222	233	9	〉	〉	NOUN
ejpam-6222	233	10	be	be	VERB
ejpam-6222	233	11	the	the	DET
ejpam-6222	233	12	csrfffns	csrfffns	NOUN
ejpam-6222	233	13	and	and	CCONJ
ejpam-6222	233	14	all	all	PRON
ejpam-6222	233	15	are	be	AUX
ejpam-6222	233	16	equal	equal	ADJ
ejpam-6222	233	17	.	.	PUNCT
ejpam-6222	234	1	then	then	ADV
ejpam-6222	234	2	rfffnwg⌊υ1,υ2	rfffnwg⌊υ1,υ2	VERB
ejpam-6222	234	3	,	,	PUNCT
ejpam-6222	234	4	...	...	PUNCT
ejpam-6222	234	5	,	,	PUNCT
ejpam-6222	234	6	υz⌋	υz⌋	X
ejpam-6222	234	7	=	=	SYM
ejpam-6222	234	8	υ	υ	NOUN
ejpam-6222	234	9	.	.	NOUN
ejpam-6222	234	10	3.3	3.3	NUM
ejpam-6222	234	11	.	.	PUNCT
ejpam-6222	235	1	generalized	generalize	VERB
ejpam-6222	235	2	csrfffnwa	csrfffnwa	NOUN
ejpam-6222	235	3	(	(	PUNCT
ejpam-6222	235	4	gcsrfffnwa	gcsrfffnwa	NOUN
ejpam-6222	235	5	)	)	PUNCT
ejpam-6222	235	6	definition	definition	NOUN
ejpam-6222	235	7	6	6	NUM
ejpam-6222	235	8	.	.	PUNCT
ejpam-6222	236	1	let	let	VERB
ejpam-6222	236	2	υi	υi	NOUN
ejpam-6222	236	3	=	=	NOUN
ejpam-6222	236	4	〈	〈	PROPN
ejpam-6222	236	5	⌊⌊⌊λri⌋	⌊⌊⌊λri⌋	NOUN
ejpam-6222	236	6	,	,	PUNCT
ejpam-6222	236	7	⌊λ	⌊λ	NOUN
ejpam-6222	236	8	℧	℧	NOUN
ejpam-6222	236	9	i⌋⌋⌋	i⌋⌋⌋	NOUN
ejpam-6222	236	10	〉	〉	NOUN
ejpam-6222	236	11	be	be	AUX
ejpam-6222	236	12	the	the	DET
ejpam-6222	236	13	csrfffn	csrfffn	NOUN
ejpam-6222	236	14	.	.	PUNCT
ejpam-6222	237	1	then	then	ADV
ejpam-6222	237	2	gcsrfffnwa	gcsrfffnwa	VERB
ejpam-6222	237	3	⌊υ1,υ2	⌊υ1,υ2	ADV
ejpam-6222	237	4	,	,	PUNCT
ejpam-6222	237	5	...	...	PUNCT
ejpam-6222	237	6	,	,	PUNCT
ejpam-6222	237	7	υz⌋	υz⌋	NUM
ejpam-6222	237	8	=	=	SYM
ejpam-6222	237	9	⌊	⌊	ADP
ejpam-6222	237	10	∇z	∇z	PROPN
ejpam-6222	237	11	i→1ζiυ	i→1ζiυ	NOUN
ejpam-6222	237	12	℘	℘	PROPN
ejpam-6222	237	13	i	i	PRON
ejpam-6222	237	14	⌋1/℘	⌋1/℘	NOUN
ejpam-6222	237	15	.	.	PUNCT
ejpam-6222	238	1	theorem	theorem	NOUN
ejpam-6222	238	2	5	5	NUM
ejpam-6222	238	3	.	.	PUNCT
ejpam-6222	239	1	let	let	VERB
ejpam-6222	239	2	υi	υi	NOUN
ejpam-6222	239	3	=	=	NOUN
ejpam-6222	239	4	〈	〈	PROPN
ejpam-6222	239	5	⌊⌊⌊λri⌋	⌊⌊⌊λri⌋	NOUN
ejpam-6222	239	6	,	,	PUNCT
ejpam-6222	239	7	⌊λ	⌊λ	NOUN
ejpam-6222	239	8	℧	℧	NOUN
ejpam-6222	239	9	i⌋⌋⌋	i⌋⌋⌋	NOUN
ejpam-6222	239	10	〉	〉	NOUN
ejpam-6222	239	11	be	be	AUX
ejpam-6222	239	12	the	the	DET
ejpam-6222	239	13	csrfffns	csrfffns	NOUN
ejpam-6222	239	14	.	.	PUNCT
ejpam-6222	240	1	then	then	ADV
ejpam-6222	240	2	gcsrfffnwa	gcsrfffnwa	VERB
ejpam-6222	240	3	⌊υ1,υ2	⌊υ1,υ2	ADV
ejpam-6222	240	4	,	,	PUNCT
ejpam-6222	240	5	...	...	PUNCT
ejpam-6222	240	6	,	,	PUNCT
ejpam-6222	240	7	υz⌋	υz⌋	NUM
ejpam-6222	240	8	=	=	SYM
ejpam-6222	240	9			NOUN
ejpam-6222	241	1	⌊	⌊	NOUN
ejpam-6222	241	2	∝	∝	PROPN
ejpam-6222	241	3	√√√√p	√√√√p	NOUN
ejpam-6222	241	4	−	−	NOUN
ejpam-6222	241	5	△	△	NOUN
ejpam-6222	241	6	z	z	NOUN
ejpam-6222	241	7	i→1	i→1	VERB
ejpam-6222	241	8	⌊	⌊	ADP
ejpam-6222	241	9	p	p	NOUN
ejpam-6222	241	10	−	−	NOUN
ejpam-6222	241	11	⌊	⌊	NOUN
ejpam-6222	241	12	⌊⌊λri⌋⌋∝	⌊⌊λri⌋⌋∝	NOUN
ejpam-6222	241	13	⌋∝⌋ζi	⌋∝⌋ζi	ADV
ejpam-6222	241	14	⌋1/∝	⌋1/∝	VERB
ejpam-6222	241	15	·	·	PUNCT
ejpam-6222	241	16	e	e	X
ejpam-6222	241	17	⌊	⌊	AUX
ejpam-6222	241	18	∝	∝	PRON
ejpam-6222	241	19	√√√√√√p	√√√√√√p	NOUN
ejpam-6222	241	20	−	−	PROPN
ejpam-6222	241	21	△	△	NOUN
ejpam-6222	241	22	z	z	NOUN
ejpam-6222	241	23	i→1	i→1	VERB
ejpam-6222	241	24	⌊	⌊	ADP
ejpam-6222	241	25	p	p	NOUN
ejpam-6222	241	26	−	−	NUM
ejpam-6222	241	27	⌊	⌊	NOUN
ejpam-6222	241	28	⌊⌊λii⌋⌋∝	⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	242	1	⌋∝⌋ζi	⌋∝⌋ζi	PROPN
ejpam-6222	242	2	⌋1/∝	⌋1/∝	ADJ
ejpam-6222	242	3	,	,	PUNCT
ejpam-6222	242	4	∝	∝	PROPN
ejpam-6222	242	5	√√√√p	√√√√p	NOUN
ejpam-6222	242	6	−	−	NOUN
ejpam-6222	242	7	⌊	⌊	ADP
ejpam-6222	242	8	p	p	X
ejpam-6222	242	9	−	−	PROPN
ejpam-6222	242	10	⌊	⌊	PROPN
ejpam-6222	242	11	△	△	NOUN
ejpam-6222	242	12	z	z	NOUN
ejpam-6222	242	13	i→1	i→1	VERB
ejpam-6222	242	14	⌊	⌊	PROPN
ejpam-6222	242	15	∝	∝	PROPN
ejpam-6222	242	16	√	√	PROPN
ejpam-6222	242	17	p	p	NOUN
ejpam-6222	242	18	−	−	PROPN
ejpam-6222	243	1	⌊	⌊	X
ejpam-6222	243	2	p	p	NOUN
ejpam-6222	243	3	−⌊⌊λ	−⌊⌊λ	PUNCT
ejpam-6222	243	4	℧	℧	NOUN
ejpam-6222	243	5	i⌋⌋∝	i⌋⌋∝	NOUN
ejpam-6222	243	6	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	243	7	⌋∝⌋1/∝	⌋∝⌋1/∝	X
ejpam-6222	243	8	·	·	PUNCT
ejpam-6222	243	9	e	e	X
ejpam-6222	243	10	∝	∝	PROPN
ejpam-6222	243	11	√√√√√√p−	√√√√√√p−	VERB
ejpam-6222	243	12	⌊	⌊	VERB
ejpam-6222	243	13	p	p	NOUN
ejpam-6222	243	14	−	−	PROPN
ejpam-6222	243	15	⌊	⌊	PROPN
ejpam-6222	243	16	△	△	NOUN
ejpam-6222	243	17	z	z	NOUN
ejpam-6222	243	18	i→1	i→1	VERB
ejpam-6222	243	19	⌊	⌊	PROPN
ejpam-6222	243	20	∝	∝	PROPN
ejpam-6222	243	21	√	√	PROPN
ejpam-6222	243	22	p	p	NOUN
ejpam-6222	243	23	−	−	PROPN
ejpam-6222	244	1	⌊	⌊	NOUN
ejpam-6222	244	2	p	p	NOUN
ejpam-6222	244	3	−⌊⌊λλi⌋⌋∝	−⌊⌊λλi⌋⌋∝	ADP
ejpam-6222	244	4	⌋∝⌋ζi	⌋∝⌋ζi	ADJ
ejpam-6222	244	5	⌋∝⌋1/∝	⌋∝⌋1/∝	NOUN
ejpam-6222	244	6			NOUN
ejpam-6222	244	7	.	.	PUNCT
ejpam-6222	245	1	proof	proof	NOUN
ejpam-6222	245	2	.	.	PUNCT
ejpam-6222	246	1	to	to	PART
ejpam-6222	246	2	illustrate	illustrate	VERB
ejpam-6222	246	3	this	this	PRON
ejpam-6222	246	4	,	,	PUNCT
ejpam-6222	246	5	we	we	PRON
ejpam-6222	246	6	may	may	AUX
ejpam-6222	246	7	first	first	ADV
ejpam-6222	246	8	show	show	VERB
ejpam-6222	246	9	that	that	SCONJ
ejpam-6222	246	10	,	,	PUNCT
ejpam-6222	246	11	∇z	∇z	PROPN
ejpam-6222	246	12	i→1ζiυ	i→1ζiυ	NOUN
ejpam-6222	246	13	∝	∝	NOUN
ejpam-6222	246	14	i	i	PROPN
ejpam-6222	246	15	=	=	SYM
ejpam-6222	246	16			PROPN
ejpam-6222	246	17	∝	∝	PROPN
ejpam-6222	246	18	√√√√p	√√√√p	PROPN
ejpam-6222	246	19	−	−	PROPN
ejpam-6222	246	20	△	△	NOUN
ejpam-6222	246	21	z	z	NOUN
ejpam-6222	246	22	i→1	i→1	VERB
ejpam-6222	246	23	⌊	⌊	ADP
ejpam-6222	246	24	p	p	NOUN
ejpam-6222	246	25	−	−	NOUN
ejpam-6222	246	26	⌊	⌊	NOUN
ejpam-6222	246	27	⌊⌊λri⌋⌋∝	⌊⌊λri⌋⌋∝	NOUN
ejpam-6222	246	28	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	246	29	·	·	PUNCT
ejpam-6222	247	1	e	e	X
ejpam-6222	247	2	∝	∝	PROPN
ejpam-6222	247	3	√√√√√√√√√	√√√√√√√√√	PROPN
ejpam-6222	247	4	p	p	PRON
ejpam-6222	247	5	−	−	PROPN
ejpam-6222	247	6	△	△	NOUN
ejpam-6222	247	7	z	z	NOUN
ejpam-6222	247	8	i→1	i→1	VERB
ejpam-6222	247	9	⌊	⌊	ADP
ejpam-6222	247	10	p	p	NOUN
ejpam-6222	247	11	−	−	NUM
ejpam-6222	247	12	⌊	⌊	NOUN
ejpam-6222	247	13	⌊⌊λii⌋⌋∝	⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	247	14	⌋∝⌋ζi	⌋∝⌋ζi	ADJ
ejpam-6222	247	15	△	△	X
ejpam-6222	247	16	z	z	NOUN
ejpam-6222	247	17	i→1	i→1	VERB
ejpam-6222	247	18	⌊	⌊	PROPN
ejpam-6222	247	19	∝	∝	PROPN
ejpam-6222	247	20	√	√	PROPN
ejpam-6222	247	21	p	p	NOUN
ejpam-6222	247	22	−	−	PROPN
ejpam-6222	247	23	⌊	⌊	X
ejpam-6222	247	24	p	p	NOUN
ejpam-6222	247	25	−⌊⌊λ	−⌊⌊λ	PUNCT
ejpam-6222	247	26	℧	℧	NOUN
ejpam-6222	247	27	i⌋⌋∝	i⌋⌋∝	NOUN
ejpam-6222	247	28	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	247	29	·	·	PUNCT
ejpam-6222	247	30	e	e	X
ejpam-6222	247	31	△	△	X
ejpam-6222	247	32	z	z	X
ejpam-6222	247	33	i→1	i→1	VERB
ejpam-6222	247	34	⌊	⌊	PROPN
ejpam-6222	247	35	∝	∝	PROPN
ejpam-6222	247	36	√	√	PROPN
ejpam-6222	247	37	p	p	NOUN
ejpam-6222	247	38	−	−	PROPN
ejpam-6222	247	39	⌊	⌊	NOUN
ejpam-6222	247	40	p	p	X
ejpam-6222	247	41	−⌊⌊λλi⌋⌋∝	−⌊⌊λλi⌋⌋∝	ADP
ejpam-6222	247	42	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	247	43			NOUN
ejpam-6222	247	44	.	.	PUNCT
ejpam-6222	248	1	put	put	VERB
ejpam-6222	248	2	z	z	NOUN
ejpam-6222	248	3	=	=	SYM
ejpam-6222	248	4	2	2	NUM
ejpam-6222	248	5	,	,	PUNCT
ejpam-6222	248	6	ζ1υ1∇ζ2υ2	ζ1υ1∇ζ2υ2	NOUN
ejpam-6222	248	7	m.	m.	NOUN
ejpam-6222	248	8	palanikumar	palanikumar	PROPN
ejpam-6222	248	9	et	et	PROPN
ejpam-6222	248	10	al	al	PROPN
ejpam-6222	248	11	.	.	PUNCT
ejpam-6222	248	12	/	/	SYM
ejpam-6222	248	13	eur	eur	PROPN
ejpam-6222	248	14	.	.	PUNCT
ejpam-6222	249	1	j.	j.	PROPN
ejpam-6222	249	2	pure	pure	PROPN
ejpam-6222	249	3	appl	appl	PROPN
ejpam-6222	249	4	.	.	PROPN
ejpam-6222	249	5	math	math	PROPN
ejpam-6222	249	6	,	,	PUNCT
ejpam-6222	249	7	18	18	NUM
ejpam-6222	249	8	(	(	PUNCT
ejpam-6222	249	9	3	3	NUM
ejpam-6222	249	10	)	)	PUNCT
ejpam-6222	249	11	(	(	PUNCT
ejpam-6222	249	12	2025	2025	NUM
ejpam-6222	249	13	)	)	PUNCT
ejpam-6222	249	14	,	,	PUNCT
ejpam-6222	249	15	6222	6222	NUM
ejpam-6222	249	16	11	11	NUM
ejpam-6222	249	17	of	of	ADP
ejpam-6222	249	18	14	14	NUM
ejpam-6222	249	19	=	=	SYM
ejpam-6222	249	20			NOUN
ejpam-6222	249	21	∝	∝	NOUN
ejpam-6222	250	1	√	√	PROPN
ejpam-6222	250	2	p	p	PRON
ejpam-6222	250	3	−	−	PROPN
ejpam-6222	250	4	△	△	X
ejpam-6222	250	5	2	2	NUM
ejpam-6222	250	6	i→1	i→1	NOUN
ejpam-6222	250	7	⌊	⌊	ADP
ejpam-6222	250	8	p	p	NOUN
ejpam-6222	250	9	−	−	PROPN
ejpam-6222	250	10	⌊	⌊	PROPN
ejpam-6222	250	11	⌊⌊λr1⌋⌋∝	⌊⌊λr1⌋⌋∝	PUNCT
ejpam-6222	250	12	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	250	13	·	·	PUNCT
ejpam-6222	251	1	e	e	X
ejpam-6222	251	2	∝	∝	PROPN
ejpam-6222	251	3	√√√√p−	√√√√p−	PROPN
ejpam-6222	251	4	△	△	X
ejpam-6222	251	5	2	2	NUM
ejpam-6222	251	6	i→1	i→1	NOUN
ejpam-6222	251	7	⌊	⌊	ADP
ejpam-6222	251	8	p−	p−	ADP
ejpam-6222	251	9	⌊	⌊	PROPN
ejpam-6222	251	10	⌊⌊λi1⌋⌋∝	⌊⌊λi1⌋⌋∝	PUNCT
ejpam-6222	251	11	⌋∝	⌋∝	NOUN
ejpam-6222	251	12	⌋ζi	⌋ζi	X
ejpam-6222	251	13	△	△	X
ejpam-6222	251	14	2	2	NUM
ejpam-6222	251	15	i→1	i→1	X
ejpam-6222	251	16	⌊	⌊	ADP
ejpam-6222	251	17	∝	∝	PROPN
ejpam-6222	251	18	√	√	PROPN
ejpam-6222	251	19	p	p	NOUN
ejpam-6222	251	20	−	−	PROPN
ejpam-6222	251	21	⌊	⌊	X
ejpam-6222	251	22	p	p	NOUN
ejpam-6222	251	23	−⌊⌊λ	−⌊⌊λ	PUNCT
ejpam-6222	251	24	℧	℧	NOUN
ejpam-6222	251	25	i⌋⌋∝	i⌋⌋∝	NOUN
ejpam-6222	251	26	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	251	27	·	·	PUNCT
ejpam-6222	251	28	△	△	X
ejpam-6222	251	29	2	2	NUM
ejpam-6222	251	30	i→1	i→1	X
ejpam-6222	251	31	⌊	⌊	ADP
ejpam-6222	251	32	∝	∝	PROPN
ejpam-6222	251	33	√	√	PROPN
ejpam-6222	251	34	p	p	NOUN
ejpam-6222	251	35	−	−	PROPN
ejpam-6222	251	36	⌊	⌊	NOUN
ejpam-6222	251	37	p	p	NOUN
ejpam-6222	251	38	−⌊⌊λλi⌋⌋∝	−⌊⌊λλi⌋⌋∝	ADP
ejpam-6222	251	39	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	251	40			NUM
ejpam-6222	251	41	.	.	PUNCT
ejpam-6222	252	1	hence	hence	ADV
ejpam-6222	252	2	,	,	PUNCT
ejpam-6222	252	3	∇z	∇z	PROPN
ejpam-6222	252	4	i→1ζiυ	i→1ζiυ	NOUN
ejpam-6222	252	5	℘	℘	PROPN
ejpam-6222	252	6	i	i	NOUN
ejpam-6222	252	7	=	=	PUNCT
ejpam-6222	252	8			NOUN
ejpam-6222	252	9	∝	∝	NOUN
ejpam-6222	252	10	√	√	PROPN
ejpam-6222	252	11	p	p	PRON
ejpam-6222	252	12	−	−	PROPN
ejpam-6222	252	13	△	△	NOUN
ejpam-6222	252	14	z	z	NOUN
ejpam-6222	252	15	i→1	i→1	VERB
ejpam-6222	252	16	⌊	⌊	ADP
ejpam-6222	252	17	p	p	NOUN
ejpam-6222	252	18	−	−	PROPN
ejpam-6222	252	19	⌊	⌊	PROPN
ejpam-6222	252	20	⌊⌊λr1⌋⌋∝	⌊⌊λr1⌋⌋∝	PUNCT
ejpam-6222	252	21	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	252	22	·	·	PUNCT
ejpam-6222	253	1	e	e	X
ejpam-6222	253	2	∝	∝	PROPN
ejpam-6222	253	3	√√√√p−	√√√√p−	PROPN
ejpam-6222	253	4	△	△	NOUN
ejpam-6222	253	5	z	z	NOUN
ejpam-6222	253	6	i→1	i→1	X
ejpam-6222	253	7	⌊	⌊	ADP
ejpam-6222	253	8	p−	p−	ADP
ejpam-6222	253	9	⌊	⌊	PROPN
ejpam-6222	253	10	⌊⌊λi1⌋⌋∝	⌊⌊λi1⌋⌋∝	PUNCT
ejpam-6222	253	11	⌋∝	⌋∝	NOUN
ejpam-6222	253	12	⌋ζi	⌋ζi	NOUN
ejpam-6222	253	13	△	△	NOUN
ejpam-6222	253	14	z	z	NOUN
ejpam-6222	253	15	i→1	i→1	VERB
ejpam-6222	253	16	⌊	⌊	PROPN
ejpam-6222	253	17	∝	∝	PROPN
ejpam-6222	253	18	√	√	PROPN
ejpam-6222	253	19	p	p	NOUN
ejpam-6222	253	20	−	−	PROPN
ejpam-6222	254	1	⌊	⌊	X
ejpam-6222	254	2	p	p	NOUN
ejpam-6222	254	3	−⌊⌊λ	−⌊⌊λ	PUNCT
ejpam-6222	254	4	℧	℧	NOUN
ejpam-6222	254	5	i⌋⌋∝	i⌋⌋∝	NOUN
ejpam-6222	254	6	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	254	7	·	·	PUNCT
ejpam-6222	254	8	e	e	X
ejpam-6222	254	9	△	△	X
ejpam-6222	254	10	z	z	X
ejpam-6222	254	11	i→1	i→1	VERB
ejpam-6222	254	12	⌊	⌊	ADP
ejpam-6222	254	13	∝	∝	NOUN
ejpam-6222	255	1	√	√	NUM
ejpam-6222	255	2	p−	p−	NOUN
ejpam-6222	255	3	⌊	⌊	AUX
ejpam-6222	255	4	p−⌊⌊λλi⌋⌋∝	p−⌊⌊λλi⌋⌋∝	NOUN
ejpam-6222	255	5	⌋∝	⌋∝	NOUN
ejpam-6222	255	6	⌋ζi	⌋ζi	NOUN
ejpam-6222	255	7			NUM
ejpam-6222	255	8	.	.	PUNCT
ejpam-6222	256	1	if	if	SCONJ
ejpam-6222	256	2	z	z	NOUN
ejpam-6222	256	3	=	=	SYM
ejpam-6222	256	4	z	z	NOUN
ejpam-6222	257	1	+	+	NOUN
ejpam-6222	257	2	1	1	NUM
ejpam-6222	257	3	,	,	PUNCT
ejpam-6222	257	4	then	then	ADV
ejpam-6222	257	5	∇z	∇z	PROPN
ejpam-6222	257	6	i→1ζiυ	i→1ζiυ	NOUN
ejpam-6222	257	7	℘	℘	PROPN
ejpam-6222	257	8	i	i	PRON
ejpam-6222	257	9	+	+	CCONJ
ejpam-6222	257	10	ζz+1υ	ζz+1υ	PROPN
ejpam-6222	257	11	℘	℘	PROPN
ejpam-6222	257	12	z+1	z+1	NUM
ejpam-6222	257	13	=	=	SYM
ejpam-6222	257	14	∇z+1	∇z+1	PROPN
ejpam-6222	257	15	i→1ζiυ	i→1ζiυ	NOUN
ejpam-6222	257	16	℘	℘	PROPN
ejpam-6222	257	17	i	i	PRON
ejpam-6222	257	18	.	.	PUNCT
ejpam-6222	258	1	now,∇z	now,∇z	PROPN
ejpam-6222	258	2	i→1ζiυ	i→1ζiυ	PROPN
ejpam-6222	258	3	℘	℘	PROPN
ejpam-6222	258	4	i	i	PRON
ejpam-6222	258	5	+	+	CCONJ
ejpam-6222	258	6	ζz+1υ	ζz+1υ	PROPN
ejpam-6222	258	7	℘	℘	PROPN
ejpam-6222	258	8	z+1	z+1	NUM
ejpam-6222	258	9	=	=	SYM
ejpam-6222	258	10	ζ1υ	ζ1υ	PROPN
ejpam-6222	258	11	℘	℘	VERB
ejpam-6222	258	12	1∇ζ2υ	1∇ζ2υ	NUM
ejpam-6222	258	13	℘	℘	PROPN
ejpam-6222	258	14	2∇	2∇	ADJ
ejpam-6222	258	15	...	...	PUNCT
ejpam-6222	258	16	∇ζzυ	∇ζzυ	VERB
ejpam-6222	258	17	℘	℘	VERB
ejpam-6222	258	18	z∇ζz+1υ	z∇ζz+1υ	PRON
ejpam-6222	258	19	℘	℘	PROPN
ejpam-6222	258	20	z+1	z+1	NUM
ejpam-6222	258	21	=	=	SYM
ejpam-6222	258	22			NOUN
ejpam-6222	258	23	∝	∝	NOUN
ejpam-6222	258	24	√√√√√√√√√√	√√√√√√√√√√	PROPN
ejpam-6222	258	25	⌊	⌊	VERB
ejpam-6222	258	26	∝	∝	NOUN
ejpam-6222	258	27	√	√	PROPN
ejpam-6222	258	28	p	p	PRON
ejpam-6222	258	29	−	−	PROPN
ejpam-6222	258	30	△	△	NOUN
ejpam-6222	258	31	z	z	NOUN
ejpam-6222	258	32	i→1	i→1	VERB
ejpam-6222	258	33	⌊	⌊	ADP
ejpam-6222	258	34	p	p	NOUN
ejpam-6222	258	35	−	−	NOUN
ejpam-6222	258	36	⌊	⌊	NOUN
ejpam-6222	258	37	⌊⌊λri⌋⌋∝	⌊⌊λri⌋⌋∝	NOUN
ejpam-6222	258	38	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	258	39	⌋∝	⌋∝	NOUN
ejpam-6222	259	1	+	+	CCONJ
ejpam-6222	260	1	⌊	⌊	PROPN
ejpam-6222	260	2	∝	∝	NOUN
ejpam-6222	260	3	√	√	PROPN
ejpam-6222	260	4	p	p	NOUN
ejpam-6222	260	5	−	−	PROPN
ejpam-6222	260	6	⌊	⌊	X
ejpam-6222	260	7	p	p	NOUN
ejpam-6222	260	8	−	−	NOUN
ejpam-6222	260	9	⌊	⌊	PROPN
ejpam-6222	261	1	⌊rz+1⌋∝	⌊rz+1⌋∝	NOUN
ejpam-6222	262	1	⌋∝⌋ζ1	⌋∝⌋ζ1	NOUN
ejpam-6222	262	2	⌋∝	⌋∝	X
ejpam-6222	262	3	−	−	PUNCT
ejpam-6222	263	1	⌊	⌊	AUX
ejpam-6222	263	2	∝	∝	PROPN
ejpam-6222	263	3	√	√	PROPN
ejpam-6222	263	4	p	p	PRON
ejpam-6222	263	5	−	−	PROPN
ejpam-6222	263	6	△	△	NOUN
ejpam-6222	263	7	z	z	NOUN
ejpam-6222	263	8	i→1	i→1	VERB
ejpam-6222	263	9	⌊	⌊	ADP
ejpam-6222	263	10	p	p	NOUN
ejpam-6222	263	11	−	−	NOUN
ejpam-6222	263	12	⌊	⌊	NOUN
ejpam-6222	263	13	⌊⌊λri⌋⌋∝	⌊⌊λri⌋⌋∝	NOUN
ejpam-6222	263	14	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	263	15	⌋∝	⌋∝	NOUN
ejpam-6222	263	16	·	·	PUNCT
ejpam-6222	264	1	⌊	⌊	AUX
ejpam-6222	264	2	∝	∝	NOUN
ejpam-6222	264	3	√	√	PROPN
ejpam-6222	264	4	p	p	NOUN
ejpam-6222	264	5	−	−	PROPN
ejpam-6222	265	1	⌊	⌊	X
ejpam-6222	265	2	p	p	NOUN
ejpam-6222	265	3	−	−	NOUN
ejpam-6222	266	1	⌊	⌊	PROPN
ejpam-6222	266	2	⌊rz+1⌋∝	⌊rz+1⌋∝	SYM
ejpam-6222	266	3	⌋∝⌋ζ1	⌋∝⌋ζ1	PROPN
ejpam-6222	266	4	⌋∝	⌋∝	X
ejpam-6222	266	5	·	·	PUNCT
ejpam-6222	267	1	e	e	X
ejpam-6222	267	2	∝	∝	PROPN
ejpam-6222	267	3	√√√√√√√√√√√√√√√	√√√√√√√√√√√√√√√	PROPN
ejpam-6222	267	4	⌊	⌊	VERB
ejpam-6222	267	5	∝	∝	PROPN
ejpam-6222	267	6	√	√	PROPN
ejpam-6222	267	7	p	p	PRON
ejpam-6222	267	8	−	−	PROPN
ejpam-6222	267	9	△	△	NOUN
ejpam-6222	267	10	z	z	NOUN
ejpam-6222	267	11	i→1	i→1	VERB
ejpam-6222	267	12	⌊	⌊	ADP
ejpam-6222	267	13	p	p	NOUN
ejpam-6222	267	14	−	−	NUM
ejpam-6222	267	15	⌊	⌊	NOUN
ejpam-6222	267	16	⌊⌊λii⌋⌋∝	⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	267	17	⌋∝⌋ζi	⌋∝⌋ζi	ADJ
ejpam-6222	267	18	⌋∝	⌋∝	NOUN
ejpam-6222	267	19	+	+	CCONJ
ejpam-6222	267	20	⌊	⌊	PROPN
ejpam-6222	267	21	∝	∝	NOUN
ejpam-6222	267	22	√	√	PROPN
ejpam-6222	267	23	p	p	NOUN
ejpam-6222	267	24	−	−	PROPN
ejpam-6222	268	1	⌊	⌊	X
ejpam-6222	268	2	p	p	NOUN
ejpam-6222	268	3	−	−	NOUN
ejpam-6222	268	4	⌊	⌊	AUX
ejpam-6222	268	5	⌊iz+1⌋∝	⌊iz+1⌋∝	VERB
ejpam-6222	268	6	⌋∝⌋ζ1	⌋∝⌋ζ1	NOUN
ejpam-6222	268	7	⌋∝	⌋∝	X
ejpam-6222	268	8	−	−	VERB
ejpam-6222	269	1	⌊	⌊	AUX
ejpam-6222	269	2	∝	∝	PROPN
ejpam-6222	269	3	√	√	PROPN
ejpam-6222	269	4	p	p	PRON
ejpam-6222	269	5	−	−	PROPN
ejpam-6222	269	6	△	△	NOUN
ejpam-6222	269	7	z	z	NOUN
ejpam-6222	269	8	i→1	i→1	VERB
ejpam-6222	269	9	⌊	⌊	ADP
ejpam-6222	269	10	p	p	NOUN
ejpam-6222	269	11	−	−	NUM
ejpam-6222	269	12	⌊	⌊	NOUN
ejpam-6222	269	13	⌊⌊λii⌋⌋∝	⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	269	14	⌋∝⌋ζi	⌋∝⌋ζi	ADJ
ejpam-6222	269	15	⌋∝	⌋∝	NOUN
ejpam-6222	269	16	·	·	PUNCT
ejpam-6222	270	1	⌊	⌊	AUX
ejpam-6222	270	2	∝	∝	NOUN
ejpam-6222	270	3	√	√	PROPN
ejpam-6222	270	4	p	p	NOUN
ejpam-6222	270	5	−	−	PROPN
ejpam-6222	271	1	⌊	⌊	X
ejpam-6222	271	2	p	p	NOUN
ejpam-6222	271	3	−	−	NOUN
ejpam-6222	271	4	⌊	⌊	PART
ejpam-6222	271	5	⌊iz+1⌋∝	⌊iz+1⌋∝	X
ejpam-6222	271	6	⌋∝⌋ζ1	⌋∝⌋ζ1	PROPN
ejpam-6222	271	7	⌋∝	⌋∝	X
ejpam-6222	271	8	△	△	X
ejpam-6222	271	9	z	z	NOUN
ejpam-6222	271	10	i→1	i→1	VERB
ejpam-6222	271	11	⌊	⌊	PROPN
ejpam-6222	271	12	∝	∝	PROPN
ejpam-6222	271	13	√	√	PROPN
ejpam-6222	271	14	p	p	NOUN
ejpam-6222	271	15	−	−	PROPN
ejpam-6222	271	16	⌊	⌊	X
ejpam-6222	271	17	p	p	NOUN
ejpam-6222	271	18	−⌊⌊λ	−⌊⌊λ	PUNCT
ejpam-6222	271	19	℧	℧	NOUN
ejpam-6222	271	20	i⌋⌋∝	i⌋⌋∝	NOUN
ejpam-6222	271	21	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	271	22	·	·	PUNCT
ejpam-6222	271	23	⌊	⌊	AUX
ejpam-6222	271	24	∝	∝	NOUN
ejpam-6222	271	25	√	√	PROPN
ejpam-6222	271	26	p	p	NOUN
ejpam-6222	271	27	−	−	PROPN
ejpam-6222	271	28	⌊	⌊	PROPN
ejpam-6222	271	29	p	p	X
ejpam-6222	271	30	−⌊	−⌊	PROPN
ejpam-6222	271	31	℧	℧	PROPN
ejpam-6222	271	32	z+1⌋∝	z+1⌋∝	PROPN
ejpam-6222	271	33	⌋∝⌋ζ1	⌋∝⌋ζ1	PROPN
ejpam-6222	271	34	·	·	PUNCT
ejpam-6222	271	35	e	e	X
ejpam-6222	271	36	△	△	X
ejpam-6222	271	37	z	z	NOUN
ejpam-6222	271	38	i→1	i→1	VERB
ejpam-6222	271	39	⌊	⌊	PROPN
ejpam-6222	271	40	∝	∝	PROPN
ejpam-6222	271	41	√	√	PROPN
ejpam-6222	271	42	p	p	NOUN
ejpam-6222	271	43	−	−	PROPN
ejpam-6222	271	44	⌊	⌊	NOUN
ejpam-6222	271	45	p	p	X
ejpam-6222	271	46	−⌊⌊λλi⌋⌋∝	−⌊⌊λλi⌋⌋∝	ADP
ejpam-6222	271	47	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	271	48	·	·	PUNCT
ejpam-6222	272	1	⌊	⌊	AUX
ejpam-6222	272	2	∝	∝	NOUN
ejpam-6222	272	3	√	√	PROPN
ejpam-6222	272	4	p	p	NOUN
ejpam-6222	272	5	−	−	PROPN
ejpam-6222	273	1	⌊	⌊	PROPN
ejpam-6222	273	2	p	p	NOUN
ejpam-6222	273	3	−⌊λz+1⌋∝	−⌊λz+1⌋∝	ADJ
ejpam-6222	273	4	⌋∝⌋ζ1	⌋∝⌋ζ1	PROPN
ejpam-6222	273	5			NUM
ejpam-6222	273	6	m.	m.	NOUN
ejpam-6222	273	7	palanikumar	palanikumar	PROPN
ejpam-6222	273	8	et	et	PROPN
ejpam-6222	273	9	al	al	PROPN
ejpam-6222	273	10	.	.	PUNCT
ejpam-6222	273	11	/	/	SYM
ejpam-6222	273	12	eur	eur	PROPN
ejpam-6222	273	13	.	.	PUNCT
ejpam-6222	274	1	j.	j.	PROPN
ejpam-6222	274	2	pure	pure	PROPN
ejpam-6222	274	3	appl	appl	PROPN
ejpam-6222	274	4	.	.	PROPN
ejpam-6222	274	5	math	math	PROPN
ejpam-6222	274	6	,	,	PUNCT
ejpam-6222	274	7	18	18	NUM
ejpam-6222	274	8	(	(	PUNCT
ejpam-6222	274	9	3	3	NUM
ejpam-6222	274	10	)	)	PUNCT
ejpam-6222	274	11	(	(	PUNCT
ejpam-6222	274	12	2025	2025	NUM
ejpam-6222	274	13	)	)	PUNCT
ejpam-6222	274	14	,	,	PUNCT
ejpam-6222	274	15	6222	6222	NUM
ejpam-6222	274	16	12	12	NUM
ejpam-6222	274	17	of	of	ADP
ejpam-6222	274	18	14	14	NUM
ejpam-6222	274	19	∇z+1	∇z+1	NOUN
ejpam-6222	274	20	i→1ζiυ	i→1ζiυ	NOUN
ejpam-6222	274	21	∝	∝	PROPN
ejpam-6222	274	22	i	i	NOUN
ejpam-6222	274	23	=	=	PUNCT
ejpam-6222	274	24			NOUN
ejpam-6222	274	25	∝	∝	NOUN
ejpam-6222	274	26	√	√	PROPN
ejpam-6222	274	27	p	p	PRON
ejpam-6222	274	28	−	−	PROPN
ejpam-6222	274	29	△	△	X
ejpam-6222	274	30	z+1	z+1	NUM
ejpam-6222	274	31	i→1	i→1	VERB
ejpam-6222	274	32	⌊	⌊	ADP
ejpam-6222	274	33	p	p	NOUN
ejpam-6222	274	34	−	−	PROPN
ejpam-6222	274	35	⌊	⌊	PROPN
ejpam-6222	274	36	⌊⌊λr1⌋⌋∝	⌊⌊λr1⌋⌋∝	PUNCT
ejpam-6222	274	37	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	274	38	·	·	PUNCT
ejpam-6222	275	1	e	e	X
ejpam-6222	275	2	∝	∝	PROPN
ejpam-6222	275	3	√√√√√p−	√√√√√p−	PROPN
ejpam-6222	275	4	△	△	X
ejpam-6222	275	5	z+1	z+1	NUM
ejpam-6222	275	6	i→1	i→1	X
ejpam-6222	275	7	⌊	⌊	ADP
ejpam-6222	275	8	p−	p−	ADP
ejpam-6222	275	9	⌊	⌊	PROPN
ejpam-6222	275	10	⌊⌊λi1⌋⌋∝	⌊⌊λi1⌋⌋∝	PUNCT
ejpam-6222	275	11	⌋∝	⌋∝	NOUN
ejpam-6222	275	12	⌋ζi	⌋ζi	X
ejpam-6222	275	13	△	△	PROPN
ejpam-6222	275	14	z+1	z+1	NUM
ejpam-6222	275	15	i→1	i→1	VERB
ejpam-6222	275	16	⌊	⌊	PROPN
ejpam-6222	275	17	∝	∝	PROPN
ejpam-6222	275	18	√	√	PROPN
ejpam-6222	275	19	p	p	NOUN
ejpam-6222	275	20	−	−	PROPN
ejpam-6222	275	21	⌊	⌊	X
ejpam-6222	275	22	p	p	NOUN
ejpam-6222	275	23	−⌊⌊λ	−⌊⌊λ	PUNCT
ejpam-6222	275	24	℧	℧	NOUN
ejpam-6222	275	25	i⌋⌋∝	i⌋⌋∝	NOUN
ejpam-6222	275	26	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	275	27	·	·	PUNCT
ejpam-6222	275	28	e	e	X
ejpam-6222	275	29	△	△	PROPN
ejpam-6222	275	30	z+1	z+1	NUM
ejpam-6222	275	31	i→1	i→1	VERB
ejpam-6222	275	32	⌊	⌊	ADP
ejpam-6222	275	33	∝	∝	NOUN
ejpam-6222	275	34	√	√	NUM
ejpam-6222	275	35	p−	p−	NOUN
ejpam-6222	275	36	⌊	⌊	AUX
ejpam-6222	275	37	p−⌊⌊λλi⌋⌋∝	p−⌊⌊λλi⌋⌋∝	NOUN
ejpam-6222	275	38	⌋∝	⌋∝	NOUN
ejpam-6222	275	39	⌋ζi	⌋ζi	NOUN
ejpam-6222	275	40			NUM
ejpam-6222	275	41	.	.	PUNCT
ejpam-6222	276	1	⌊	⌊	AUX
ejpam-6222	276	2	∇z+1	∇z+1	PROPN
ejpam-6222	276	3	i→1ζiυ	i→1ζiυ	NOUN
ejpam-6222	276	4	℘	℘	PROPN
ejpam-6222	276	5	i	i	PRON
ejpam-6222	276	6	⌋1/℘	⌋1/℘	PUNCT
ejpam-6222	276	7	=	=	SYM
ejpam-6222	276	8			NOUN
ejpam-6222	276	9	⌊	⌊	AUX
ejpam-6222	276	10	∝	∝	PROPN
ejpam-6222	276	11	√√√√p	√√√√p	NOUN
ejpam-6222	276	12	−	−	PROPN
ejpam-6222	276	13	△	△	X
ejpam-6222	276	14	z+1	z+1	NUM
ejpam-6222	276	15	i→1	i→1	VERB
ejpam-6222	276	16	⌊	⌊	ADP
ejpam-6222	276	17	p	p	NOUN
ejpam-6222	276	18	−	−	NOUN
ejpam-6222	276	19	⌊	⌊	NOUN
ejpam-6222	276	20	⌊⌊λri⌋⌋∝	⌊⌊λri⌋⌋∝	NOUN
ejpam-6222	276	21	⌋∝⌋ζi	⌋∝⌋ζi	ADV
ejpam-6222	276	22	⌋1/∝	⌋1/∝	VERB
ejpam-6222	276	23	·	·	PUNCT
ejpam-6222	276	24	e	e	X
ejpam-6222	276	25	⌊	⌊	AUX
ejpam-6222	276	26	∝	∝	PRON
ejpam-6222	276	27	√√√√√√p	√√√√√√p	NOUN
ejpam-6222	276	28	−	−	PROPN
ejpam-6222	276	29	△	△	X
ejpam-6222	276	30	z+1	z+1	NUM
ejpam-6222	276	31	i→1	i→1	VERB
ejpam-6222	276	32	⌊	⌊	ADP
ejpam-6222	276	33	p	p	NOUN
ejpam-6222	276	34	−	−	NUM
ejpam-6222	276	35	⌊	⌊	NOUN
ejpam-6222	276	36	⌊⌊λii⌋⌋∝	⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	277	1	⌋∝⌋ζi	⌋∝⌋ζi	PROPN
ejpam-6222	277	2	⌋1/∝	⌋1/∝	VERB
ejpam-6222	277	3	∝	∝	PROPN
ejpam-6222	277	4	√√√√p	√√√√p	NOUN
ejpam-6222	277	5	−	−	NOUN
ejpam-6222	278	1	⌊	⌊	ADP
ejpam-6222	278	2	p	p	X
ejpam-6222	278	3	−	−	PROPN
ejpam-6222	278	4	⌊	⌊	PROPN
ejpam-6222	278	5	△	△	X
ejpam-6222	278	6	z+1	z+1	NUM
ejpam-6222	278	7	i→1	i→1	VERB
ejpam-6222	278	8	⌊	⌊	PROPN
ejpam-6222	278	9	∝	∝	PROPN
ejpam-6222	278	10	√	√	PROPN
ejpam-6222	278	11	p	p	NOUN
ejpam-6222	278	12	−	−	PROPN
ejpam-6222	279	1	⌊	⌊	X
ejpam-6222	279	2	p	p	NOUN
ejpam-6222	279	3	−⌊⌊λ	−⌊⌊λ	PUNCT
ejpam-6222	279	4	℧	℧	NOUN
ejpam-6222	279	5	i⌋⌋∝	i⌋⌋∝	NOUN
ejpam-6222	279	6	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	279	7	⌋2⌋1/∝	⌋2⌋1/∝	PROPN
ejpam-6222	279	8	·	·	PUNCT
ejpam-6222	279	9	e	e	X
ejpam-6222	279	10	∝	∝	PROPN
ejpam-6222	279	11	√√√√√√√p−	√√√√√√√p−	NOUN
ejpam-6222	280	1	⌊	⌊	VERB
ejpam-6222	280	2	p	p	NOUN
ejpam-6222	280	3	−	−	PROPN
ejpam-6222	280	4	⌊	⌊	PROPN
ejpam-6222	280	5	△	△	X
ejpam-6222	280	6	z+1	z+1	NUM
ejpam-6222	280	7	i→1	i→1	VERB
ejpam-6222	280	8	⌊	⌊	PROPN
ejpam-6222	280	9	∝	∝	PROPN
ejpam-6222	280	10	√	√	PROPN
ejpam-6222	280	11	p	p	NOUN
ejpam-6222	280	12	−	−	PROPN
ejpam-6222	281	1	⌊	⌊	NOUN
ejpam-6222	281	2	p	p	NOUN
ejpam-6222	281	3	−⌊⌊λλi⌋⌋∝	−⌊⌊λλi⌋⌋∝	ADP
ejpam-6222	281	4	⌋∝⌋ζi	⌋∝⌋ζi	ADJ
ejpam-6222	281	5	⌋2⌋1/∝	⌋2⌋1/∝	ADJ
ejpam-6222	281	6			NOUN
ejpam-6222	281	7	corollary	corollary	ADJ
ejpam-6222	281	8	3	3	NUM
ejpam-6222	281	9	.	.	PUNCT
ejpam-6222	282	1	(	(	PUNCT
ejpam-6222	282	2	i	i	NOUN
ejpam-6222	282	3	)	)	PUNCT
ejpam-6222	282	4	if	if	SCONJ
ejpam-6222	282	5	⌊∝,∝⌋	⌊∝,∝⌋	PROPN
ejpam-6222	282	6	=	=	SYM
ejpam-6222	282	7	⌊1	⌊1	PROPN
ejpam-6222	282	8	,	,	PUNCT
ejpam-6222	282	9	1⌋	1⌋	NUM
ejpam-6222	282	10	,	,	PUNCT
ejpam-6222	282	11	then	then	ADV
ejpam-6222	282	12	csrfffnwa	csrfffnwa	ADJ
ejpam-6222	282	13	operator	operator	NOUN
ejpam-6222	282	14	is	be	AUX
ejpam-6222	282	15	convert	convert	VERB
ejpam-6222	282	16	to	to	ADP
ejpam-6222	282	17	the	the	DET
ejpam-6222	282	18	gcsrfffnwa	gcsrfffnwa	ADJ
ejpam-6222	282	19	operator	operator	NOUN
ejpam-6222	282	20	.	.	PUNCT
ejpam-6222	283	1	(	(	PUNCT
ejpam-6222	283	2	ii	ii	NOUN
ejpam-6222	283	3	)	)	PUNCT
ejpam-6222	283	4	if	if	SCONJ
ejpam-6222	283	5	all	all	PRON
ejpam-6222	283	6	υi	υi	NOUN
ejpam-6222	283	7	=	=	PUNCT
ejpam-6222	283	8	〈	〈	ADP
ejpam-6222	283	9	⌊	⌊	PROPN
ejpam-6222	283	10	⌊⌊λri⌋·e⌊λii⌋	⌊⌊λri⌋·e⌊λii⌋	ADV
ejpam-6222	283	11	,	,	PUNCT
ejpam-6222	283	12	⌊λ	⌊λ	NOUN
ejpam-6222	283	13	℧	℧	PROPN
ejpam-6222	283	14	i⌋·e⌊λλi⌋⌋	i⌋·e⌊λλi⌋⌋	ADJ
ejpam-6222	283	15	⌋	⌋	ADJ
ejpam-6222	283	16	〉	〉	NOUN
ejpam-6222	283	17	and	and	CCONJ
ejpam-6222	283	18	all	all	PRON
ejpam-6222	283	19	are	be	AUX
ejpam-6222	283	20	equal	equal	ADJ
ejpam-6222	283	21	.	.	PUNCT
ejpam-6222	284	1	then	then	ADV
ejpam-6222	284	2	gcsrfffnwa	gcsrfffnwa	VERB
ejpam-6222	284	3	⌊υ1,υ2	⌊υ1,υ2	ADV
ejpam-6222	284	4	,	,	PUNCT
ejpam-6222	284	5	...	...	PUNCT
ejpam-6222	284	6	,	,	PUNCT
ejpam-6222	284	7	υz⌋	υz⌋	X
ejpam-6222	285	1	=	=	SYM
ejpam-6222	285	2	υ	υ	NOUN
ejpam-6222	285	3	.	.	NOUN
ejpam-6222	285	4	3.4	3.4	NUM
ejpam-6222	285	5	.	.	PUNCT
ejpam-6222	286	1	generalized	generalize	VERB
ejpam-6222	286	2	csrfffnwg(gcsrfffnwg	csrfffnwg(gcsrfffnwg	PROPN
ejpam-6222	286	3	)	)	PUNCT
ejpam-6222	286	4	definition	definition	NOUN
ejpam-6222	286	5	7	7	NUM
ejpam-6222	286	6	.	.	PUNCT
ejpam-6222	287	1	let	let	VERB
ejpam-6222	287	2	υi	υi	NOUN
ejpam-6222	287	3	=	=	VERB
ejpam-6222	287	4	〈	〈	PROPN
ejpam-6222	287	5	⌊	⌊	PROPN
ejpam-6222	287	6	⌊⌊λri⌋	⌊⌊λri⌋	NOUN
ejpam-6222	287	7	·	·	PUNCT
ejpam-6222	288	1	e⌊λii⌋	e⌊λii⌋	NOUN
ejpam-6222	288	2	,	,	PUNCT
ejpam-6222	288	3	⌊λ	⌊λ	PRON
ejpam-6222	288	4	℧	℧	PROPN
ejpam-6222	288	5	i⌋	i⌋	PROPN
ejpam-6222	288	6	·	·	SYM
ejpam-6222	288	7	e⌊λλi⌋⌋	e⌊λλi⌋⌋	NOUN
ejpam-6222	288	8	⌋	⌋	NOUN
ejpam-6222	288	9	〉	〉	NOUN
ejpam-6222	288	10	be	be	VERB
ejpam-6222	288	11	the	the	DET
ejpam-6222	288	12	csrfffns	csrfffns	NOUN
ejpam-6222	288	13	.	.	PUNCT
ejpam-6222	289	1	then	then	ADV
ejpam-6222	289	2	the	the	DET
ejpam-6222	289	3	ao	ao	PROPN
ejpam-6222	289	4	gcsrfffnwg	gcsrfffnwg	PROPN
ejpam-6222	289	5	is	be	AUX
ejpam-6222	289	6	determined	determine	VERB
ejpam-6222	289	7	as	as	ADP
ejpam-6222	289	8	⌊υ1,υ2	⌊υ1,υ2	ADV
ejpam-6222	289	9	,	,	PUNCT
ejpam-6222	289	10	...	...	PUNCT
ejpam-6222	289	11	,	,	PUNCT
ejpam-6222	289	12	υz⌋	υz⌋	NUM
ejpam-6222	289	13	=	=	SYM
ejpam-6222	289	14	1	1	NUM
ejpam-6222	289	15	℘	℘	PROPN
ejpam-6222	289	16	⌊	⌊	ADP
ejpam-6222	289	17	△	△	NOUN
ejpam-6222	289	18	z	z	PROPN
ejpam-6222	289	19	i→1⌊℘υi⌋ζi	i→1⌊℘υi⌋ζi	PROPN
ejpam-6222	289	20	⌋	⌋	PROPN
ejpam-6222	289	21	.	.	PUNCT
ejpam-6222	290	1	corollary	corollary	ADJ
ejpam-6222	290	2	4	4	NUM
ejpam-6222	290	3	.	.	PUNCT
ejpam-6222	291	1	let	let	VERB
ejpam-6222	291	2	υi	υi	NOUN
ejpam-6222	291	3	=	=	VERB
ejpam-6222	291	4	〈	〈	PROPN
ejpam-6222	291	5	⌊	⌊	PROPN
ejpam-6222	291	6	⌊⌊λri⌋	⌊⌊λri⌋	NOUN
ejpam-6222	291	7	·	·	PUNCT
ejpam-6222	292	1	e⌊λii⌋	e⌊λii⌋	NOUN
ejpam-6222	292	2	,	,	PUNCT
ejpam-6222	292	3	⌊λ	⌊λ	PRON
ejpam-6222	292	4	℧	℧	PROPN
ejpam-6222	292	5	i⌋	i⌋	PROPN
ejpam-6222	292	6	·	·	SYM
ejpam-6222	292	7	e⌊λλi⌋⌋	e⌊λλi⌋⌋	NOUN
ejpam-6222	292	8	⌋	⌋	NOUN
ejpam-6222	292	9	〉	〉	NOUN
ejpam-6222	292	10	be	be	VERB
ejpam-6222	292	11	the	the	DET
ejpam-6222	292	12	csrfffns	csrfffns	NOUN
ejpam-6222	292	13	.	.	PUNCT
ejpam-6222	293	1	then	then	ADV
ejpam-6222	293	2	the	the	DET
ejpam-6222	293	3	ao	ao	PROPN
ejpam-6222	293	4	gcsrfffnwg	gcsrfffnwg	PROPN
ejpam-6222	293	5	is	be	AUX
ejpam-6222	293	6	determined	determine	VERB
ejpam-6222	293	7	as	as	ADP
ejpam-6222	293	8	⌊υ1,υ2	⌊υ1,υ2	ADV
ejpam-6222	293	9	,	,	PUNCT
ejpam-6222	293	10	...	...	PUNCT
ejpam-6222	293	11	,	,	PUNCT
ejpam-6222	293	12	υz⌋	υz⌋	NUM
ejpam-6222	293	13	m.	m.	PROPN
ejpam-6222	293	14	palanikumar	palanikumar	PROPN
ejpam-6222	293	15	et	et	PROPN
ejpam-6222	293	16	al	al	PROPN
ejpam-6222	293	17	.	.	PUNCT
ejpam-6222	293	18	/	/	SYM
ejpam-6222	293	19	eur	eur	PROPN
ejpam-6222	293	20	.	.	PUNCT
ejpam-6222	294	1	j.	j.	PROPN
ejpam-6222	294	2	pure	pure	PROPN
ejpam-6222	294	3	appl	appl	PROPN
ejpam-6222	294	4	.	.	PROPN
ejpam-6222	294	5	math	math	PROPN
ejpam-6222	294	6	,	,	PUNCT
ejpam-6222	294	7	18	18	NUM
ejpam-6222	294	8	(	(	PUNCT
ejpam-6222	294	9	3	3	NUM
ejpam-6222	294	10	)	)	PUNCT
ejpam-6222	294	11	(	(	PUNCT
ejpam-6222	294	12	2025	2025	NUM
ejpam-6222	294	13	)	)	PUNCT
ejpam-6222	294	14	,	,	PUNCT
ejpam-6222	294	15	6222	6222	NUM
ejpam-6222	294	16	13	13	NUM
ejpam-6222	294	17	of	of	ADP
ejpam-6222	294	18	14	14	NUM
ejpam-6222	294	19	=	=	SYM
ejpam-6222	294	20			NOUN
ejpam-6222	294	21	∝	∝	NOUN
ejpam-6222	294	22	√√√√p	√√√√p	NOUN
ejpam-6222	294	23	−	−	NOUN
ejpam-6222	295	1	⌊	⌊	ADP
ejpam-6222	295	2	p	p	X
ejpam-6222	295	3	−	−	PROPN
ejpam-6222	295	4	⌊	⌊	PROPN
ejpam-6222	295	5	△	△	NOUN
ejpam-6222	295	6	z	z	NOUN
ejpam-6222	295	7	i→1	i→1	VERB
ejpam-6222	295	8	⌊	⌊	PROPN
ejpam-6222	295	9	∝	∝	PROPN
ejpam-6222	296	1	√	√	PROPN
ejpam-6222	296	2	p	p	NOUN
ejpam-6222	296	3	−	−	PROPN
ejpam-6222	297	1	⌊	⌊	AUX
ejpam-6222	297	2	p	p	X
ejpam-6222	297	3	−⌊⌊λri⌋⌋∝	−⌊⌊λri⌋⌋∝	PROPN
ejpam-6222	297	4	⌋∝⌋ζi	⌋∝⌋ζi	ADV
ejpam-6222	297	5	⌋∝⌋1/∝	⌋∝⌋1/∝	NOUN
ejpam-6222	297	6	·	·	PUNCT
ejpam-6222	297	7	e	e	X
ejpam-6222	297	8	∝	∝	PROPN
ejpam-6222	297	9	√√√√√√p−	√√√√√√p−	VERB
ejpam-6222	297	10	⌊	⌊	VERB
ejpam-6222	297	11	p	p	NOUN
ejpam-6222	297	12	−	−	PROPN
ejpam-6222	297	13	⌊	⌊	PROPN
ejpam-6222	297	14	△	△	NOUN
ejpam-6222	297	15	z	z	NOUN
ejpam-6222	297	16	i→1	i→1	VERB
ejpam-6222	297	17	⌊	⌊	PROPN
ejpam-6222	297	18	∝	∝	PROPN
ejpam-6222	297	19	√	√	PROPN
ejpam-6222	297	20	p	p	NOUN
ejpam-6222	297	21	−	−	PROPN
ejpam-6222	298	1	⌊	⌊	PROPN
ejpam-6222	298	2	p	p	X
ejpam-6222	298	3	−⌊⌊λii⌋⌋∝	−⌊⌊λii⌋⌋∝	NOUN
ejpam-6222	298	4	⌋∝⌋ζi	⌋∝⌋ζi	ADV
ejpam-6222	298	5	⌋∝⌋1/∝	⌋∝⌋1/∝	VERB
ejpam-6222	298	6	⌊	⌊	AUX
ejpam-6222	298	7	∝	∝	PROPN
ejpam-6222	298	8	√√√√p	√√√√p	NOUN
ejpam-6222	298	9	−	−	NOUN
ejpam-6222	298	10	△	△	NOUN
ejpam-6222	298	11	z	z	NOUN
ejpam-6222	298	12	i→1	i→1	VERB
ejpam-6222	298	13	⌊	⌊	ADP
ejpam-6222	298	14	p	p	NOUN
ejpam-6222	298	15	−	−	X
ejpam-6222	298	16	⌊	⌊	PART
ejpam-6222	298	17	⌊⌊λ	⌊⌊λ	VERB
ejpam-6222	298	18	℧	℧	NOUN
ejpam-6222	298	19	i⌋⌋∝	i⌋⌋∝	NOUN
ejpam-6222	298	20	⌋∝⌋ζi	⌋∝⌋ζi	NOUN
ejpam-6222	298	21	⌋1/∝	⌋1/∝	VERB
ejpam-6222	298	22	·	·	PUNCT
ejpam-6222	298	23	e	e	X
ejpam-6222	298	24	⌊	⌊	AUX
ejpam-6222	298	25	∝	∝	PRON
ejpam-6222	298	26	√√√√√√p	√√√√√√p	NOUN
ejpam-6222	298	27	−	−	PROPN
ejpam-6222	298	28	△	△	NOUN
ejpam-6222	298	29	z	z	NOUN
ejpam-6222	298	30	i→1	i→1	VERB
ejpam-6222	298	31	⌊	⌊	ADP
ejpam-6222	298	32	p	p	NOUN
ejpam-6222	298	33	−	−	PROPN
ejpam-6222	298	34	⌊	⌊	PROPN
ejpam-6222	298	35	⌊⌊λλi⌋⌋∝	⌊⌊λλi⌋⌋∝	NOUN
ejpam-6222	298	36	⌋∝⌋ζi	⌋∝⌋ζi	PROPN
ejpam-6222	298	37	⌋1/∝	⌋1/∝	ADJ
ejpam-6222	298	38			NOUN
ejpam-6222	298	39	.	.	PUNCT
ejpam-6222	299	1	corollary	corollary	ADJ
ejpam-6222	299	2	5	5	NUM
ejpam-6222	299	3	.	.	PUNCT
ejpam-6222	300	1	(	(	PUNCT
ejpam-6222	300	2	i	i	NOUN
ejpam-6222	300	3	)	)	PUNCT
ejpam-6222	300	4	when	when	SCONJ
ejpam-6222	300	5	℘	℘	PROPN
ejpam-6222	300	6	=	=	SYM
ejpam-6222	300	7	1	1	NUM
ejpam-6222	300	8	,	,	PUNCT
ejpam-6222	300	9	the	the	DET
ejpam-6222	300	10	gcsrfffnwg	gcsrfffnwg	NOUN
ejpam-6222	300	11	is	be	AUX
ejpam-6222	300	12	converted	convert	VERB
ejpam-6222	300	13	to	to	ADP
ejpam-6222	300	14	the	the	DET
ejpam-6222	300	15	rfffnwg	rfffnwg	NOUN
ejpam-6222	300	16	.	.	PUNCT
ejpam-6222	301	1	(	(	PUNCT
ejpam-6222	301	2	ii	ii	NOUN
ejpam-6222	301	3	)	)	PUNCT
ejpam-6222	301	4	if	if	SCONJ
ejpam-6222	301	5	all	all	PRON
ejpam-6222	301	6	υi	υi	NOUN
ejpam-6222	301	7	=	=	PUNCT
ejpam-6222	301	8	〈	〈	PROPN
ejpam-6222	301	9	⌊	⌊	PROPN
ejpam-6222	301	10	⌊⌊λri⌋	⌊⌊λri⌋	NOUN
ejpam-6222	301	11	·	·	PUNCT
ejpam-6222	302	1	e⌊λii⌋	e⌊λii⌋	NOUN
ejpam-6222	302	2	,	,	PUNCT
ejpam-6222	302	3	⌊λ	⌊λ	PRON
ejpam-6222	302	4	℧	℧	PROPN
ejpam-6222	302	5	i⌋	i⌋	PROPN
ejpam-6222	302	6	·	·	SYM
ejpam-6222	302	7	e⌊λλi⌋⌋	e⌊λλi⌋⌋	NOUN
ejpam-6222	302	8	⌋	⌋	NOUN
ejpam-6222	302	9	〉	〉	NOUN
ejpam-6222	302	10	are	be	AUX
ejpam-6222	302	11	equal	equal	ADJ
ejpam-6222	302	12	.	.	PUNCT
ejpam-6222	303	1	then	then	ADV
ejpam-6222	303	2	gcsrfffnwg⌊υ1,υ2	gcsrfffnwg⌊υ1,υ2	PROPN
ejpam-6222	303	3	,	,	PUNCT
ejpam-6222	303	4	...	...	PUNCT
ejpam-6222	303	5	,	,	PUNCT
ejpam-6222	303	6	υz⌋	υz⌋	X
ejpam-6222	303	7	=	=	SYM
ejpam-6222	303	8	υ	υ	NOUN
ejpam-6222	303	9	.	.	NOUN
ejpam-6222	303	10	4	4	NUM
ejpam-6222	303	11	.	.	X
ejpam-6222	303	12	conclusion	conclusion	NOUN
ejpam-6222	303	13	:	:	PUNCT
ejpam-6222	303	14	in	in	ADP
ejpam-6222	303	15	some	some	DET
ejpam-6222	303	16	circumstances	circumstance	NOUN
ejpam-6222	303	17	where	where	SCONJ
ejpam-6222	303	18	existing	exist	VERB
ejpam-6222	303	19	approaches	approach	NOUN
ejpam-6222	303	20	fail	fail	VERB
ejpam-6222	303	21	to	to	PART
ejpam-6222	303	22	produce	produce	VERB
ejpam-6222	303	23	appropriate	appropriate	ADJ
ejpam-6222	303	24	results	result	NOUN
ejpam-6222	303	25	,	,	PUNCT
ejpam-6222	303	26	the	the	DET
ejpam-6222	303	27	suggested	suggest	VERB
ejpam-6222	303	28	method	method	NOUN
ejpam-6222	303	29	outperforms	outperform	VERB
ejpam-6222	303	30	them	they	PRON
ejpam-6222	303	31	in	in	ADP
ejpam-6222	303	32	terms	term	NOUN
ejpam-6222	303	33	of	of	ADP
ejpam-6222	303	34	csrfff	csrfff	NOUN
ejpam-6222	303	35	discrimination	discrimination	NOUN
ejpam-6222	303	36	.	.	PUNCT
ejpam-6222	304	1	furthermore	furthermore	ADV
ejpam-6222	304	2	,	,	PUNCT
ejpam-6222	304	3	this	this	DET
ejpam-6222	304	4	technique	technique	NOUN
ejpam-6222	304	5	employs	employ	VERB
ejpam-6222	304	6	the	the	DET
ejpam-6222	304	7	selection	selection	NOUN
ejpam-6222	304	8	of	of	ADP
ejpam-6222	304	9	operations	operation	NOUN
ejpam-6222	304	10	with	with	ADP
ejpam-6222	304	11	the	the	DET
ejpam-6222	304	12	aggregation	aggregation	NOUN
ejpam-6222	304	13	operator	operator	NOUN
ejpam-6222	304	14	property	property	NOUN
ejpam-6222	304	15	.	.	PUNCT
ejpam-6222	305	1	however	however	ADV
ejpam-6222	305	2	,	,	PUNCT
ejpam-6222	305	3	our	our	PRON
ejpam-6222	305	4	proposed	propose	VERB
ejpam-6222	305	5	solution	solution	NOUN
ejpam-6222	305	6	is	be	AUX
ejpam-6222	305	7	n’t	not	PART
ejpam-6222	305	8	flawless	flawless	ADJ
ejpam-6222	305	9	.	.	PUNCT
ejpam-6222	306	1	it	it	PRON
ejpam-6222	306	2	is	be	AUX
ejpam-6222	306	3	stuck	stuck	ADJ
ejpam-6222	306	4	due	due	ADP
ejpam-6222	306	5	to	to	ADP
ejpam-6222	306	6	a	a	DET
ejpam-6222	306	7	lack	lack	NOUN
ejpam-6222	306	8	of	of	ADP
ejpam-6222	306	9	theoretical	theoretical	ADJ
ejpam-6222	306	10	justification	justification	NOUN
ejpam-6222	306	11	.	.	PUNCT
ejpam-6222	307	1	additionally	additionally	ADV
ejpam-6222	307	2	,	,	PUNCT
ejpam-6222	307	3	we	we	PRON
ejpam-6222	307	4	are	be	AUX
ejpam-6222	307	5	working	work	VERB
ejpam-6222	307	6	to	to	PART
ejpam-6222	307	7	find	find	VERB
ejpam-6222	307	8	a	a	DET
ejpam-6222	307	9	better	well	ADJ
ejpam-6222	307	10	approach	approach	NOUN
ejpam-6222	307	11	(	(	PUNCT
ejpam-6222	307	12	or	or	CCONJ
ejpam-6222	307	13	distance	distance	NOUN
ejpam-6222	307	14	metric	metric	NOUN
ejpam-6222	307	15	)	)	PUNCT
ejpam-6222	307	16	for	for	ADP
ejpam-6222	307	17	much	much	ADV
ejpam-6222	307	18	better	well	ADJ
ejpam-6222	307	19	exploration	exploration	NOUN
ejpam-6222	307	20	and	and	CCONJ
ejpam-6222	307	21	exploitation	exploitation	NOUN
ejpam-6222	307	22	on	on	ADP
ejpam-6222	307	23	csrfffs	csrfff	NOUN
ejpam-6222	307	24	.	.	PUNCT
ejpam-6222	308	1	instead	instead	ADV
ejpam-6222	308	2	of	of	ADP
ejpam-6222	308	3	being	be	AUX
ejpam-6222	308	4	regarded	regard	VERB
ejpam-6222	308	5	as	as	ADP
ejpam-6222	308	6	scalar	scalar	ADJ
ejpam-6222	308	7	numbers	number	NOUN
ejpam-6222	308	8	,	,	PUNCT
ejpam-6222	308	9	csrfffs	csrfff	NOUN
ejpam-6222	308	10	are	be	AUX
ejpam-6222	308	11	described	describe	VERB
ejpam-6222	308	12	as	as	ADP
ejpam-6222	308	13	vectors	vector	NOUN
ejpam-6222	308	14	in	in	ADP
ejpam-6222	308	15	the	the	DET
ejpam-6222	308	16	complex	complex	ADJ
ejpam-6222	308	17	plane	plane	NOUN
ejpam-6222	308	18	.	.	PUNCT
ejpam-6222	309	1	from	from	ADP
ejpam-6222	309	2	the	the	DET
ejpam-6222	309	3	perspective	perspective	NOUN
ejpam-6222	309	4	of	of	ADP
ejpam-6222	309	5	vector	vector	NOUN
ejpam-6222	309	6	theory	theory	NOUN
ejpam-6222	309	7	,	,	PUNCT
ejpam-6222	309	8	we	we	PRON
ejpam-6222	309	9	ought	ought	AUX
ejpam-6222	309	10	to	to	PART
ejpam-6222	309	11	quantify	quantify	VERB
ejpam-6222	309	12	the	the	DET
ejpam-6222	309	13	difference	difference	NOUN
ejpam-6222	309	14	of	of	ADP
ejpam-6222	309	15	csrfffs	csrfff	NOUN
ejpam-6222	309	16	.	.	PUNCT
ejpam-6222	310	1	the	the	DET
ejpam-6222	310	2	novel	novel	ADJ
ejpam-6222	310	3	attributes	attribute	NOUN
ejpam-6222	310	4	of	of	ADP
ejpam-6222	310	5	csrfffs	csrfff	NOUN
ejpam-6222	310	6	that	that	PRON
ejpam-6222	310	7	are	be	AUX
ejpam-6222	310	8	induced	induce	VERB
ejpam-6222	310	9	by	by	ADP
ejpam-6222	310	10	this	this	DET
ejpam-6222	310	11	concept	concept	NOUN
ejpam-6222	310	12	of	of	ADP
ejpam-6222	310	13	membership	membership	NOUN
ejpam-6222	310	14	vectors	vector	NOUN
ejpam-6222	310	15	differ	differ	VERB
ejpam-6222	310	16	significantly	significantly	ADV
ejpam-6222	310	17	from	from	ADP
ejpam-6222	310	18	those	those	PRON
ejpam-6222	310	19	of	of	ADP
ejpam-6222	310	20	fs	fs	PROPN
ejpam-6222	310	21	.	.	PUNCT
ejpam-6222	310	22	in	in	ADP
ejpam-6222	310	23	this	this	DET
ejpam-6222	310	24	study	study	NOUN
ejpam-6222	310	25	,	,	PUNCT
ejpam-6222	310	26	new	new	ADJ
ejpam-6222	310	27	weighted	weight	VERB
ejpam-6222	310	28	operators	operator	NOUN
ejpam-6222	310	29	including	include	VERB
ejpam-6222	310	30	wa	wa	PROPN
ejpam-6222	310	31	and	and	CCONJ
ejpam-6222	310	32	wg	wg	PROPN
ejpam-6222	310	33	operators	operator	NOUN
ejpam-6222	310	34	are	be	AUX
ejpam-6222	310	35	introduced	introduce	VERB
ejpam-6222	310	36	.	.	PUNCT
ejpam-6222	311	1	these	these	DET
ejpam-6222	311	2	operators	operator	NOUN
ejpam-6222	311	3	have	have	VERB
ejpam-6222	311	4	several	several	ADJ
ejpam-6222	311	5	properties	property	NOUN
ejpam-6222	311	6	,	,	PUNCT
ejpam-6222	311	7	such	such	ADJ
ejpam-6222	311	8	as	as	ADP
ejpam-6222	311	9	monotonicity	monotonicity	NOUN
ejpam-6222	311	10	,	,	PUNCT
ejpam-6222	311	11	idempotency	idempotency	NOUN
ejpam-6222	311	12	,	,	PUNCT
ejpam-6222	311	13	commutativity	commutativity	NOUN
ejpam-6222	311	14	,	,	PUNCT
ejpam-6222	311	15	associativity	associativity	NOUN
ejpam-6222	311	16	and	and	CCONJ
ejpam-6222	311	17	boundedness	boundedness	NOUN
ejpam-6222	311	18	.	.	PUNCT
ejpam-6222	312	1	we	we	PRON
ejpam-6222	312	2	examined	examine	VERB
ejpam-6222	312	3	several	several	ADJ
ejpam-6222	312	4	characteristics	characteristic	NOUN
ejpam-6222	312	5	in	in	ADP
ejpam-6222	312	6	order	order	NOUN
ejpam-6222	312	7	to	to	PART
ejpam-6222	312	8	characterize	characterize	VERB
ejpam-6222	312	9	the	the	DET
ejpam-6222	312	10	weighted	weighted	ADJ
ejpam-6222	312	11	vector	vector	NOUN
ejpam-6222	312	12	.	.	PUNCT
ejpam-6222	313	1	we	we	PRON
ejpam-6222	313	2	could	could	AUX
ejpam-6222	313	3	expand	expand	VERB
ejpam-6222	313	4	the	the	DET
ejpam-6222	313	5	developed	develop	VERB
ejpam-6222	313	6	approach	approach	NOUN
ejpam-6222	313	7	in	in	ADP
ejpam-6222	313	8	subsequent	subsequent	ADJ
ejpam-6222	313	9	work	work	NOUN
ejpam-6222	313	10	to	to	PART
ejpam-6222	313	11	incorporate	incorporate	VERB
ejpam-6222	313	12	a	a	DET
ejpam-6222	313	13	range	range	NOUN
ejpam-6222	313	14	of	of	ADP
ejpam-6222	313	15	other	other	ADJ
ejpam-6222	313	16	aos	aos	PROPN
ejpam-6222	313	17	.	.	PUNCT
ejpam-6222	314	1	these	these	PRON
ejpam-6222	314	2	might	might	AUX
ejpam-6222	314	3	include	include	VERB
ejpam-6222	314	4	power	power	PROPN
ejpam-6222	314	5	aos	aos	PROPN
ejpam-6222	314	6	,	,	PUNCT
ejpam-6222	314	7	einstein	einstein	PROPN
ejpam-6222	314	8	operations	operations	PROPN
ejpam-6222	314	9	,	,	PUNCT
ejpam-6222	314	10	hamacher	hamacher	NOUN
ejpam-6222	314	11	operations	operation	NOUN
ejpam-6222	314	12	,	,	PUNCT
ejpam-6222	314	13	dombi	dombi	NOUN
ejpam-6222	314	14	operations	operation	NOUN
ejpam-6222	314	15	and	and	CCONJ
ejpam-6222	314	16	advanced	advanced	ADJ
ejpam-6222	314	17	fuzzy	fuzzy	ADJ
ejpam-6222	314	18	ordered	order	VERB
ejpam-6222	314	19	weighted	weight	VERB
ejpam-6222	314	20	quadratic	quadratic	ADJ
ejpam-6222	314	21	averaging	averaging	NOUN
ejpam-6222	314	22	operators	operator	NOUN
ejpam-6222	314	23	using	use	VERB
ejpam-6222	314	24	csrfff	csrfff	NOUN
ejpam-6222	314	25	information	information	NOUN
ejpam-6222	314	26	.	.	PUNCT
ejpam-6222	315	1	furthermore	furthermore	ADV
ejpam-6222	315	2	,	,	PUNCT
ejpam-6222	315	3	we	we	PRON
ejpam-6222	315	4	may	may	AUX
ejpam-6222	315	5	look	look	VERB
ejpam-6222	315	6	at	at	ADP
ejpam-6222	315	7	using	use	VERB
ejpam-6222	315	8	our	our	PRON
ejpam-6222	315	9	recommended	recommend	VERB
ejpam-6222	315	10	method	method	NOUN
ejpam-6222	315	11	in	in	ADP
ejpam-6222	315	12	a	a	DET
ejpam-6222	315	13	number	number	NOUN
ejpam-6222	315	14	of	of	ADP
ejpam-6222	315	15	domains	domain	NOUN
ejpam-6222	315	16	.	.	PUNCT
ejpam-6222	316	1	acknowledgements	acknowledgement	NOUN
ejpam-6222	316	2	we	we	PRON
ejpam-6222	316	3	greatly	greatly	ADV
ejpam-6222	316	4	appreciate	appreciate	VERB
ejpam-6222	316	5	the	the	DET
ejpam-6222	316	6	editors	editor	NOUN
ejpam-6222	316	7	-	-	PUNCT
ejpam-6222	316	8	in	in	ADP
ejpam-6222	316	9	-	-	PUNCT
ejpam-6222	316	10	chief	chief	NOUN
ejpam-6222	316	11	and	and	CCONJ
ejpam-6222	316	12	the	the	DET
ejpam-6222	316	13	reviewers	reviewer	NOUN
ejpam-6222	316	14	for	for	ADP
ejpam-6222	316	15	their	their	PRON
ejpam-6222	316	16	valuable	valuable	ADJ
ejpam-6222	316	17	comments	comment	NOUN
ejpam-6222	316	18	,	,	PUNCT
ejpam-6222	316	19	which	which	PRON
ejpam-6222	316	20	have	have	AUX
ejpam-6222	316	21	improved	improve	VERB
ejpam-6222	316	22	the	the	DET
ejpam-6222	316	23	quality	quality	NOUN
ejpam-6222	316	24	of	of	ADP
ejpam-6222	316	25	the	the	DET
ejpam-6222	316	26	work	work	NOUN
ejpam-6222	316	27	.	.	PUNCT
ejpam-6222	317	1	m.	m.	NOUN
ejpam-6222	317	2	palanikumar	palanikumar	PROPN
ejpam-6222	317	3	et	et	PROPN
ejpam-6222	317	4	al	al	PROPN
ejpam-6222	317	5	.	.	PUNCT
ejpam-6222	317	6	/	/	SYM
ejpam-6222	317	7	eur	eur	PROPN
ejpam-6222	317	8	.	.	PUNCT
ejpam-6222	318	1	j.	j.	PROPN
ejpam-6222	318	2	pure	pure	PROPN
ejpam-6222	318	3	appl	appl	PROPN
ejpam-6222	318	4	.	.	PROPN
ejpam-6222	318	5	math	math	PROPN
ejpam-6222	318	6	,	,	PUNCT
ejpam-6222	318	7	18	18	NUM
ejpam-6222	318	8	(	(	PUNCT
ejpam-6222	318	9	3	3	NUM
ejpam-6222	318	10	)	)	PUNCT
ejpam-6222	318	11	(	(	PUNCT
ejpam-6222	318	12	2025	2025	NUM
ejpam-6222	318	13	)	)	PUNCT
ejpam-6222	318	14	,	,	PUNCT
ejpam-6222	318	15	6222	6222	NUM
ejpam-6222	318	16	14	14	NUM
ejpam-6222	318	17	of	of	ADP
ejpam-6222	318	18	14	14	NUM
ejpam-6222	318	19	references	reference	NOUN
ejpam-6222	318	20	[	[	X
ejpam-6222	318	21	1	1	NUM
ejpam-6222	318	22	]	]	PUNCT
ejpam-6222	318	23	l.	l.	PROPN
ejpam-6222	318	24	a.	a.	PROPN
ejpam-6222	318	25	zadeh	zadeh	PROPN
ejpam-6222	318	26	.	.	PUNCT
ejpam-6222	319	1	fuzzy	fuzzy	ADJ
ejpam-6222	319	2	sets	set	NOUN
ejpam-6222	319	3	.	.	PUNCT
ejpam-6222	320	1	information	information	NOUN
ejpam-6222	320	2	and	and	CCONJ
ejpam-6222	320	3	control	control	NOUN
ejpam-6222	320	4	,	,	PUNCT
ejpam-6222	320	5	8(3):338–353	8(3):338–353	NUM
ejpam-6222	320	6	,	,	PUNCT
ejpam-6222	320	7	1965	1965	NUM
ejpam-6222	320	8	.	.	PUNCT
ejpam-6222	321	1	[	[	X
ejpam-6222	321	2	2	2	NUM
ejpam-6222	321	3	]	]	PUNCT
ejpam-6222	321	4	m.	m.	NOUN
ejpam-6222	321	5	zeleny	zeleny	PROPN
ejpam-6222	321	6	.	.	PUNCT
ejpam-6222	322	1	multiple	multiple	ADJ
ejpam-6222	322	2	criteria	criterion	NOUN
ejpam-6222	322	3	decision	decision	NOUN
ejpam-6222	322	4	making	make	VERB
ejpam-6222	322	5	kyoto	kyoto	NOUN
ejpam-6222	322	6	1975	1975	NUM
ejpam-6222	322	7	.	.	PUNCT
ejpam-6222	323	1	springer	springer	NOUN
ejpam-6222	323	2	-	-	PUNCT
ejpam-6222	323	3	verlag	verlag	PROPN
ejpam-6222	323	4	,	,	PUNCT
ejpam-6222	323	5	berlin	berlin	PROPN
ejpam-6222	323	6	,	,	PUNCT
ejpam-6222	323	7	germany	germany	PROPN
ejpam-6222	323	8	,	,	PUNCT
ejpam-6222	323	9	1976	1976	NUM
ejpam-6222	323	10	.	.	PUNCT
ejpam-6222	324	1	[	[	X
ejpam-6222	324	2	3	3	X
ejpam-6222	324	3	]	]	X
ejpam-6222	324	4	d.	d.	PROPN
ejpam-6222	324	5	ramot	ramot	PROPN
ejpam-6222	324	6	,	,	PUNCT
ejpam-6222	324	7	r.	r.	PROPN
ejpam-6222	324	8	milo	milo	PROPN
ejpam-6222	324	9	,	,	PUNCT
ejpam-6222	324	10	m.	m.	NOUN
ejpam-6222	324	11	friedman	friedman	PROPN
ejpam-6222	324	12	,	,	PUNCT
ejpam-6222	324	13	and	and	CCONJ
ejpam-6222	324	14	a.	a.	NOUN
ejpam-6222	324	15	kandel	kandel	PROPN
ejpam-6222	324	16	.	.	PUNCT
ejpam-6222	325	1	complex	complex	ADJ
ejpam-6222	325	2	fuzzy	fuzzy	ADJ
ejpam-6222	325	3	sets	set	NOUN
ejpam-6222	325	4	.	.	PUNCT
ejpam-6222	326	1	ieee	ieee	NOUN
ejpam-6222	326	2	transactions	transaction	NOUN
ejpam-6222	326	3	on	on	ADP
ejpam-6222	326	4	fuzzy	fuzzy	ADJ
ejpam-6222	326	5	systems	system	NOUN
ejpam-6222	326	6	,	,	PUNCT
ejpam-6222	326	7	10:171–186	10:171–186	NUM
ejpam-6222	326	8	,	,	PUNCT
ejpam-6222	326	9	2022	2022	NUM
ejpam-6222	326	10	.	.	PUNCT
ejpam-6222	327	1	[	[	X
ejpam-6222	327	2	4	4	X
ejpam-6222	327	3	]	]	X
ejpam-6222	327	4	d.	d.	PROPN
ejpam-6222	327	5	ramot	ramot	PROPN
ejpam-6222	327	6	,	,	PUNCT
ejpam-6222	327	7	m.	m.	NOUN
ejpam-6222	327	8	friedman	friedman	PROPN
ejpam-6222	327	9	,	,	PUNCT
ejpam-6222	327	10	g.	g.	PROPN
ejpam-6222	327	11	langholz	langholz	PROPN
ejpam-6222	327	12	,	,	PUNCT
ejpam-6222	327	13	and	and	CCONJ
ejpam-6222	327	14	a.	a.	NOUN
ejpam-6222	327	15	kandel	kandel	PROPN
ejpam-6222	327	16	.	.	PUNCT
ejpam-6222	328	1	complex	complex	ADJ
ejpam-6222	328	2	fuzzy	fuzzy	ADJ
ejpam-6222	328	3	logic	logic	NOUN
ejpam-6222	328	4	.	.	PUNCT
ejpam-6222	329	1	ieee	ieee	NOUN
ejpam-6222	329	2	transactions	transaction	NOUN
ejpam-6222	329	3	on	on	ADP
ejpam-6222	329	4	fuzzy	fuzzy	ADJ
ejpam-6222	329	5	systems	system	NOUN
ejpam-6222	329	6	,	,	PUNCT
ejpam-6222	329	7	11:450–461	11:450–461	NUM
ejpam-6222	329	8	,	,	PUNCT
ejpam-6222	329	9	2003	2003	NUM
ejpam-6222	329	10	.	.	PUNCT
ejpam-6222	330	1	[	[	X
ejpam-6222	330	2	5	5	NUM
ejpam-6222	330	3	]	]	PUNCT
ejpam-6222	330	4	r.	r.	PROPN
ejpam-6222	330	5	r.	r.	PROPN
ejpam-6222	330	6	yager	yager	PROPN
ejpam-6222	330	7	.	.	PUNCT
ejpam-6222	331	1	generalized	generalize	VERB
ejpam-6222	331	2	owa	owa	ADJ
ejpam-6222	331	3	aggregation	aggregation	NOUN
ejpam-6222	331	4	operators	operator	NOUN
ejpam-6222	331	5	.	.	PUNCT
ejpam-6222	332	1	fuzzy	fuzzy	ADJ
ejpam-6222	332	2	optimization	optimization	NOUN
ejpam-6222	332	3	and	and	CCONJ
ejpam-6222	332	4	decision	decision	NOUN
ejpam-6222	332	5	making	making	NOUN
ejpam-6222	332	6	,	,	PUNCT
ejpam-6222	332	7	3:93–107	3:93–107	NUM
ejpam-6222	332	8	,	,	PUNCT
ejpam-6222	332	9	2004	2004	NUM
ejpam-6222	332	10	.	.	PUNCT
ejpam-6222	333	1	[	[	X
ejpam-6222	333	2	6	6	NUM
ejpam-6222	333	3	]	]	X
ejpam-6222	333	4	l.	l.	PROPN
ejpam-6222	333	5	bi	bi	PROPN
ejpam-6222	333	6	,	,	PUNCT
ejpam-6222	333	7	s.	s.	PROPN
ejpam-6222	333	8	dai	dai	PROPN
ejpam-6222	333	9	,	,	PUNCT
ejpam-6222	333	10	b.	b.	PROPN
ejpam-6222	333	11	hu	hu	PROPN
ejpam-6222	333	12	,	,	PUNCT
ejpam-6222	333	13	and	and	CCONJ
ejpam-6222	333	14	s.	s.	PROPN
ejpam-6222	333	15	li	li	PROPN
ejpam-6222	333	16	.	.	PROPN
ejpam-6222	333	17	complex	complex	ADJ
ejpam-6222	333	18	fuzzy	fuzzy	ADJ
ejpam-6222	333	19	arithmetic	arithmetic	ADJ
ejpam-6222	333	20	aggregation	aggregation	NOUN
ejpam-6222	333	21	operators	operator	NOUN
ejpam-6222	333	22	.	.	PUNCT
ejpam-6222	334	1	journal	journal	NOUN
ejpam-6222	334	2	of	of	ADP
ejpam-6222	334	3	intelligent	intelligent	ADJ
ejpam-6222	334	4	&	&	CCONJ
ejpam-6222	334	5	fuzzy	fuzzy	ADJ
ejpam-6222	334	6	systems	system	NOUN
ejpam-6222	334	7	,	,	PUNCT
ejpam-6222	334	8	36:2765–2771	36:2765–2771	NUM
ejpam-6222	334	9	,	,	PUNCT
ejpam-6222	334	10	2019	2019	NUM
ejpam-6222	334	11	.	.	PUNCT
ejpam-6222	335	1	[	[	X
ejpam-6222	335	2	7	7	X
ejpam-6222	335	3	]	]	PUNCT
ejpam-6222	335	4	k.	k.	PROPN
ejpam-6222	335	5	atanassov	atanassov	PROPN
ejpam-6222	335	6	.	.	PUNCT
ejpam-6222	336	1	intuitionistic	intuitionistic	ADJ
ejpam-6222	336	2	fuzzy	fuzzy	ADJ
ejpam-6222	336	3	sets	set	NOUN
ejpam-6222	336	4	.	.	PUNCT
ejpam-6222	337	1	fuzzy	fuzzy	ADJ
ejpam-6222	337	2	sets	set	NOUN
ejpam-6222	337	3	and	and	CCONJ
ejpam-6222	337	4	systems	system	NOUN
ejpam-6222	337	5	,	,	PUNCT
ejpam-6222	337	6	20(1):87–96	20(1):87–96	NUM
ejpam-6222	337	7	,	,	PUNCT
ejpam-6222	337	8	1986	1986	NUM
ejpam-6222	337	9	.	.	PUNCT
ejpam-6222	338	1	[	[	X
ejpam-6222	338	2	8	8	NUM
ejpam-6222	338	3	]	]	X
ejpam-6222	338	4	r.	r.	PROPN
ejpam-6222	338	5	r.	r.	PROPN
ejpam-6222	338	6	yager	yager	PROPN
ejpam-6222	338	7	.	.	PUNCT
ejpam-6222	339	1	pythagorean	pythagorean	PROPN
ejpam-6222	339	2	membership	membership	NOUN
ejpam-6222	339	3	grades	grade	NOUN
ejpam-6222	339	4	in	in	ADP
ejpam-6222	339	5	multi	multi	ADJ
ejpam-6222	339	6	criteria	criterion	NOUN
ejpam-6222	339	7	decision	decision	NOUN
ejpam-6222	339	8	-	-	PUNCT
ejpam-6222	339	9	making	making	NOUN
ejpam-6222	339	10	.	.	PUNCT
ejpam-6222	340	1	ieee	ieee	NOUN
ejpam-6222	340	2	transactions	transaction	NOUN
ejpam-6222	340	3	on	on	ADP
ejpam-6222	340	4	fuzzy	fuzzy	ADJ
ejpam-6222	340	5	systems	system	NOUN
ejpam-6222	340	6	,	,	PUNCT
ejpam-6222	340	7	22:958–965	22:958–965	NUM
ejpam-6222	340	8	,	,	PUNCT
ejpam-6222	340	9	2014	2014	NUM
ejpam-6222	340	10	.	.	PUNCT
ejpam-6222	341	1	[	[	X
ejpam-6222	341	2	9	9	NUM
ejpam-6222	341	3	]	]	X
ejpam-6222	341	4	b.	b.	PROPN
ejpam-6222	341	5	c.	c.	PROPN
ejpam-6222	341	6	cuong	cuong	PROPN
ejpam-6222	341	7	and	and	CCONJ
ejpam-6222	341	8	v.	v.	ADP
ejpam-6222	341	9	kreinovich	kreinovich	ADJ
ejpam-6222	341	10	.	.	PUNCT
ejpam-6222	342	1	picture	picture	NOUN
ejpam-6222	342	2	fuzzy	fuzzy	ADJ
ejpam-6222	342	3	sets	set	NOUN
ejpam-6222	342	4	:	:	PUNCT
ejpam-6222	342	5	a	a	DET
ejpam-6222	342	6	new	new	ADJ
ejpam-6222	342	7	concept	concept	NOUN
ejpam-6222	342	8	for	for	ADP
ejpam-6222	342	9	computational	computational	ADJ
ejpam-6222	342	10	intelligence	intelligence	NOUN
ejpam-6222	342	11	problems	problem	NOUN
ejpam-6222	342	12	.	.	PUNCT
ejpam-6222	343	1	in	in	ADP
ejpam-6222	343	2	proceedings	proceeding	NOUN
ejpam-6222	343	3	of	of	ADP
ejpam-6222	343	4	2013	2013	NUM
ejpam-6222	343	5	third	third	ADJ
ejpam-6222	343	6	world	world	NOUN
ejpam-6222	343	7	congress	congress	PROPN
ejpam-6222	343	8	on	on	ADP
ejpam-6222	343	9	information	information	NOUN
ejpam-6222	343	10	and	and	CCONJ
ejpam-6222	343	11	communication	communication	NOUN
ejpam-6222	343	12	technologies	technology	NOUN
ejpam-6222	343	13	(	(	PUNCT
ejpam-6222	343	14	wict2013	wict2013	PROPN
ejpam-6222	343	15	)	)	PUNCT
ejpam-6222	343	16	,	,	PUNCT
ejpam-6222	343	17	pages	page	VERB
ejpam-6222	343	18	1–16	1–16	PROPN
ejpam-6222	343	19	,	,	PUNCT
ejpam-6222	343	20	2013	2013	NUM
ejpam-6222	343	21	.	.	PUNCT
ejpam-6222	344	1	[	[	X
ejpam-6222	344	2	10	10	NUM
ejpam-6222	344	3	]	]	X
ejpam-6222	344	4	s.	s.	PROPN
ejpam-6222	344	5	ashraf	ashraf	PROPN
ejpam-6222	344	6	,	,	PUNCT
ejpam-6222	344	7	s.	s.	PROPN
ejpam-6222	344	8	abdullah	abdullah	PROPN
ejpam-6222	344	9	,	,	PUNCT
ejpam-6222	344	10	t.	t.	PROPN
ejpam-6222	344	11	mahmood	mahmood	PROPN
ejpam-6222	344	12	,	,	PUNCT
ejpam-6222	344	13	f.	f.	PROPN
ejpam-6222	344	14	ghani	ghani	PROPN
ejpam-6222	344	15	,	,	PUNCT
ejpam-6222	344	16	and	and	CCONJ
ejpam-6222	344	17	t.	t.	PROPN
ejpam-6222	344	18	mahmood	mahmood	PROPN
ejpam-6222	344	19	.	.	PUNCT
ejpam-6222	345	1	spherical	spherical	ADJ
ejpam-6222	345	2	fuzzy	fuzzy	ADJ
ejpam-6222	345	3	sets	set	NOUN
ejpam-6222	345	4	and	and	CCONJ
ejpam-6222	345	5	their	their	PRON
ejpam-6222	345	6	applications	application	NOUN
ejpam-6222	345	7	in	in	ADP
ejpam-6222	345	8	multi	multi	ADJ
ejpam-6222	345	9	-	-	ADJ
ejpam-6222	345	10	attribute	attribute	NOUN
ejpam-6222	345	11	decision	decision	NOUN
ejpam-6222	345	12	making	make	VERB
ejpam-6222	345	13	problems	problem	NOUN
ejpam-6222	345	14	.	.	PUNCT
ejpam-6222	346	1	journal	journal	NOUN
ejpam-6222	346	2	of	of	ADP
ejpam-6222	346	3	intelligent	intelligent	ADJ
ejpam-6222	346	4	and	and	CCONJ
ejpam-6222	346	5	fuzzy	fuzzy	ADJ
ejpam-6222	346	6	systems	system	NOUN
ejpam-6222	346	7	,	,	PUNCT
ejpam-6222	346	8	36:282–284	36:282–284	PROPN
ejpam-6222	346	9	,	,	PUNCT
ejpam-6222	346	10	2019	2019	NUM
ejpam-6222	346	11	.	.	PUNCT
ejpam-6222	347	1	[	[	X
ejpam-6222	347	2	11	11	NUM
ejpam-6222	347	3	]	]	PUNCT
ejpam-6222	347	4	a.	a.	NOUN
ejpam-6222	347	5	hussain	hussain	PROPN
ejpam-6222	347	6	and	and	CCONJ
ejpam-6222	347	7	k.	k.	PROPN
ejpam-6222	347	8	ullah	ullah	PROPN
ejpam-6222	347	9	.	.	PUNCT
ejpam-6222	348	1	an	an	DET
ejpam-6222	348	2	intelligent	intelligent	ADJ
ejpam-6222	348	3	decision	decision	NOUN
ejpam-6222	348	4	support	support	NOUN
ejpam-6222	348	5	system	system	NOUN
ejpam-6222	348	6	for	for	ADP
ejpam-6222	348	7	spherical	spherical	ADJ
ejpam-6222	348	8	fuzzy	fuzzy	ADJ
ejpam-6222	348	9	sugeno	sugeno	NOUN
ejpam-6222	348	10	-	-	PUNCT
ejpam-6222	348	11	weber	weber	PROPN
ejpam-6222	348	12	aggregation	aggregation	NOUN
ejpam-6222	348	13	operators	operator	NOUN
ejpam-6222	348	14	and	and	CCONJ
ejpam-6222	348	15	real	real	ADJ
ejpam-6222	348	16	-	-	PUNCT
ejpam-6222	348	17	life	life	NOUN
ejpam-6222	348	18	applications	application	NOUN
ejpam-6222	348	19	.	.	PUNCT
ejpam-6222	349	1	spectrum	spectrum	NOUN
ejpam-6222	349	2	of	of	ADP
ejpam-6222	349	3	mechanical	mechanical	ADJ
ejpam-6222	349	4	engineering	engineering	NOUN
ejpam-6222	349	5	and	and	CCONJ
ejpam-6222	349	6	operational	operational	ADJ
ejpam-6222	349	7	research	research	NOUN
ejpam-6222	349	8	,	,	PUNCT
ejpam-6222	349	9	1(1):177–188	1(1):177–188	NUM
ejpam-6222	349	10	,	,	PUNCT
ejpam-6222	349	11	2024	2024	NUM
ejpam-6222	349	12	.	.	PUNCT
ejpam-6222	350	1	[	[	X
ejpam-6222	350	2	12	12	NUM
ejpam-6222	350	3	]	]	PUNCT
ejpam-6222	350	4	z.	z.	PROPN
ejpam-6222	350	5	xu	xu	PROPN
ejpam-6222	350	6	and	and	CCONJ
ejpam-6222	350	7	r.	r.	PROPN
ejpam-6222	350	8	r.	r.	PROPN
ejpam-6222	350	9	yager	yager	PROPN
ejpam-6222	350	10	.	.	PUNCT
ejpam-6222	351	1	some	some	DET
ejpam-6222	351	2	geometric	geometric	ADJ
ejpam-6222	351	3	aggregation	aggregation	NOUN
ejpam-6222	351	4	operators	operator	NOUN
ejpam-6222	351	5	based	base	VERB
ejpam-6222	351	6	on	on	ADP
ejpam-6222	351	7	intuitionistic	intuitionistic	ADJ
ejpam-6222	351	8	fuzzy	fuzzy	ADJ
ejpam-6222	351	9	sets	set	NOUN
ejpam-6222	351	10	.	.	PUNCT
ejpam-6222	352	1	international	international	ADJ
ejpam-6222	352	2	journal	journal	PROPN
ejpam-6222	352	3	of	of	ADP
ejpam-6222	352	4	general	general	ADJ
ejpam-6222	352	5	systems	system	NOUN
ejpam-6222	352	6	,	,	PUNCT
ejpam-6222	352	7	35:417–433	35:417–433	NUM
ejpam-6222	352	8	,	,	PUNCT
ejpam-6222	352	9	2006	2006	NUM
ejpam-6222	352	10	.	.	PUNCT
ejpam-6222	353	1	[	[	X
ejpam-6222	353	2	13	13	NUM
ejpam-6222	353	3	]	]	X
ejpam-6222	353	4	d.	d.	PROPN
ejpam-6222	353	5	f.	f.	PROPN
ejpam-6222	353	6	li	li	PROPN
ejpam-6222	353	7	.	.	PUNCT
ejpam-6222	354	1	multi	multi	ADJ
ejpam-6222	354	2	-	-	ADJ
ejpam-6222	354	3	attribute	attribute	NOUN
ejpam-6222	354	4	decision	decision	NOUN
ejpam-6222	354	5	making	make	VERB
ejpam-6222	354	6	method	method	NOUN
ejpam-6222	354	7	based	base	VERB
ejpam-6222	354	8	on	on	ADP
ejpam-6222	354	9	generalized	generalized	ADJ
ejpam-6222	354	10	owa	owa	PROPN
ejpam-6222	354	11	operators	operator	NOUN
ejpam-6222	354	12	with	with	ADP
ejpam-6222	354	13	intuitionistic	intuitionistic	ADJ
ejpam-6222	354	14	fuzzy	fuzzy	ADJ
ejpam-6222	354	15	sets	set	NOUN
ejpam-6222	354	16	.	.	PUNCT
ejpam-6222	355	1	expert	expert	NOUN
ejpam-6222	355	2	systems	system	NOUN
ejpam-6222	355	3	with	with	ADP
ejpam-6222	355	4	applications	application	NOUN
ejpam-6222	355	5	,	,	PUNCT
ejpam-6222	355	6	37:8673–8678	37:8673–8678	NUM
ejpam-6222	355	7	,	,	PUNCT
ejpam-6222	355	8	2010	2010	NUM
ejpam-6222	355	9	.	.	PUNCT
ejpam-6222	356	1	[	[	X
ejpam-6222	356	2	14	14	NUM
ejpam-6222	356	3	]	]	PUNCT
ejpam-6222	356	4	s.	s.	PROPN
ejpam-6222	356	5	zeng	zeng	PROPN
ejpam-6222	356	6	and	and	CCONJ
ejpam-6222	356	7	w.	w.	PROPN
ejpam-6222	356	8	sua	sua	PROPN
ejpam-6222	356	9	.	.	PUNCT
ejpam-6222	357	1	intuitionistic	intuitionistic	ADJ
ejpam-6222	357	2	fuzzy	fuzzy	ADJ
ejpam-6222	357	3	ordered	order	VERB
ejpam-6222	357	4	weighted	weight	VERB
ejpam-6222	357	5	distance	distance	NOUN
ejpam-6222	357	6	operator	operator	NOUN
ejpam-6222	357	7	.	.	PUNCT
ejpam-6222	358	1	knowledge	knowledge	NOUN
ejpam-6222	358	2	-	-	PUNCT
ejpam-6222	358	3	based	base	VERB
ejpam-6222	358	4	systems	system	NOUN
ejpam-6222	358	5	,	,	PUNCT
ejpam-6222	358	6	24:1224–1232	24:1224–1232	PROPN
ejpam-6222	358	7	,	,	PUNCT
ejpam-6222	358	8	2011	2011	NUM
ejpam-6222	358	9	.	.	PUNCT
ejpam-6222	359	1	[	[	X
ejpam-6222	359	2	15	15	NUM
ejpam-6222	359	3	]	]	PUNCT
ejpam-6222	359	4	x.	x.	NOUN
ejpam-6222	359	5	peng	peng	PROPN
ejpam-6222	359	6	and	and	CCONJ
ejpam-6222	359	7	h.	h.	PROPN
ejpam-6222	359	8	yuan	yuan	PROPN
ejpam-6222	359	9	.	.	PUNCT
ejpam-6222	360	1	fundamental	fundamental	ADJ
ejpam-6222	360	2	properties	property	NOUN
ejpam-6222	360	3	of	of	ADP
ejpam-6222	360	4	pythagorean	pythagorean	ADJ
ejpam-6222	360	5	fuzzy	fuzzy	ADJ
ejpam-6222	360	6	aggregation	aggregation	NOUN
ejpam-6222	360	7	operators	operator	NOUN
ejpam-6222	360	8	.	.	PUNCT
ejpam-6222	361	1	fundamenta	fundamenta	PROPN
ejpam-6222	361	2	informaticae	informaticae	PROPN
ejpam-6222	361	3	,	,	PUNCT
ejpam-6222	361	4	147:415–446	147:415–446	NUM
ejpam-6222	361	5	,	,	PUNCT
ejpam-6222	361	6	2016	2016	NUM
ejpam-6222	361	7	.	.	PUNCT
ejpam-6222	362	1	[	[	X
ejpam-6222	362	2	16	16	NUM
ejpam-6222	362	3	]	]	PUNCT
ejpam-6222	362	4	m.	m.	NOUN
ejpam-6222	362	5	palanikumar	palanikumar	PROPN
ejpam-6222	362	6	,	,	PUNCT
ejpam-6222	362	7	k.	k.	PROPN
ejpam-6222	362	8	arulmozhi	arulmozhi	PROPN
ejpam-6222	362	9	,	,	PUNCT
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ejpam-6222	362	11	a.	a.	NOUN
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ejpam-6222	362	13	.	.	PUNCT
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ejpam-6222	363	2	criteria	criteria	PROPN
ejpam-6222	363	3	group	group	NOUN
ejpam-6222	363	4	decision	decision	NOUN
ejpam-6222	363	5	making	making	NOUN
ejpam-6222	363	6	based	base	VERB
ejpam-6222	363	7	on	on	ADP
ejpam-6222	363	8	vikor	vikor	ADJ
ejpam-6222	363	9	and	and	CCONJ
ejpam-6222	363	10	topsis	topsis	NOUN
ejpam-6222	363	11	methods	method	NOUN
ejpam-6222	363	12	for	for	ADP
ejpam-6222	363	13	fermatean	fermatean	ADJ
ejpam-6222	363	14	fuzzy	fuzzy	ADJ
ejpam-6222	363	15	soft	soft	ADJ
ejpam-6222	363	16	with	with	ADP
ejpam-6222	363	17	aggregation	aggregation	NOUN
ejpam-6222	363	18	operators	operator	NOUN
ejpam-6222	363	19	.	.	PUNCT
ejpam-6222	364	1	icic	icic	PROPN
ejpam-6222	364	2	express	express	PROPN
ejpam-6222	364	3	letters	letter	NOUN
ejpam-6222	364	4	,	,	PUNCT
ejpam-6222	364	5	16(10):1129–1138	16(10):1129–1138	NUM
ejpam-6222	364	6	,	,	PUNCT
ejpam-6222	364	7	2022	2022	NUM
ejpam-6222	364	8	.	.	PUNCT
ejpam-6222	365	1	[	[	X
ejpam-6222	365	2	17	17	NUM
ejpam-6222	365	3	]	]	PUNCT
ejpam-6222	365	4	m.	m.	NOUN
ejpam-6222	365	5	palanikumar	palanikumar	PROPN
ejpam-6222	365	6	and	and	CCONJ
ejpam-6222	365	7	k.	k.	PROPN
ejpam-6222	365	8	arulmozhi	arulmozhi	PROPN
ejpam-6222	365	9	.	.	PUNCT
ejpam-6222	366	1	mcgdm	mcgdm	NOUN
ejpam-6222	366	2	based	base	VERB
ejpam-6222	366	3	on	on	ADP
ejpam-6222	366	4	topsis	topsis	NOUN
ejpam-6222	366	5	and	and	CCONJ
ejpam-6222	366	6	vikor	vikor	ADJ
ejpam-6222	366	7	using	use	VERB
ejpam-6222	366	8	pythagorean	pythagorean	PROPN
ejpam-6222	366	9	neutrosophic	neutrosophic	PROPN
ejpam-6222	366	10	soft	soft	ADJ
ejpam-6222	366	11	with	with	ADP
ejpam-6222	366	12	aggregation	aggregation	NOUN
ejpam-6222	366	13	operators	operator	NOUN
ejpam-6222	366	14	.	.	PUNCT
ejpam-6222	367	1	neutrosophic	neutrosophic	ADJ
ejpam-6222	367	2	sets	set	NOUN
ejpam-6222	367	3	and	and	CCONJ
ejpam-6222	367	4	systems	system	NOUN
ejpam-6222	367	5	,	,	PUNCT
ejpam-6222	367	6	pages	page	NOUN
ejpam-6222	367	7	538–555	538–555	NUM
ejpam-6222	367	8	,	,	PUNCT
ejpam-6222	367	9	2022	2022	NUM
ejpam-6222	367	10	.	.	PUNCT
ejpam-6222	368	1	[	[	X
ejpam-6222	368	2	18	18	NUM
ejpam-6222	368	3	]	]	PUNCT
ejpam-6222	368	4	m.	m.	NOUN
ejpam-6222	368	5	palanikumar	palanikumar	PROPN
ejpam-6222	368	6	,	,	PUNCT
ejpam-6222	368	7	n.	n.	PROPN
ejpam-6222	368	8	kausar	kausar	PROPN
ejpam-6222	368	9	,	,	PUNCT
ejpam-6222	368	10	h.	h.	PROPN
ejpam-6222	368	11	garg	garg	PROPN
ejpam-6222	368	12	,	,	PUNCT
ejpam-6222	368	13	a.	a.	NOUN
ejpam-6222	368	14	iampan	iampan	PROPN
ejpam-6222	368	15	,	,	PUNCT
ejpam-6222	368	16	s.	s.	PROPN
ejpam-6222	368	17	kadry	kadry	PROPN
ejpam-6222	368	18	,	,	PUNCT
ejpam-6222	368	19	and	and	CCONJ
ejpam-6222	368	20	m.	m.	NOUN
ejpam-6222	368	21	sharaf	sharaf	PROPN
ejpam-6222	368	22	.	.	PUNCT
ejpam-6222	369	1	medical	medical	ADJ
ejpam-6222	369	2	robotic	robotic	ADJ
ejpam-6222	369	3	engineering	engineering	NOUN
ejpam-6222	369	4	selection	selection	NOUN
ejpam-6222	369	5	based	base	VERB
ejpam-6222	369	6	on	on	ADP
ejpam-6222	369	7	square	square	ADJ
ejpam-6222	369	8	root	root	NOUN
ejpam-6222	369	9	neutrosophic	neutrosophic	ADJ
ejpam-6222	369	10	normal	normal	ADJ
ejpam-6222	369	11	intervalvalued	intervalvalue	VERB
ejpam-6222	369	12	sets	set	NOUN
ejpam-6222	369	13	and	and	CCONJ
ejpam-6222	369	14	their	their	PRON
ejpam-6222	369	15	aggregated	aggregate	VERB
ejpam-6222	369	16	operators	operator	NOUN
ejpam-6222	369	17	.	.	PUNCT
ejpam-6222	370	1	aims	aim	VERB
ejpam-6222	370	2	mathematics	mathematics	PROPN
ejpam-6222	370	3	,	,	PUNCT
ejpam-6222	370	4	8(8):17402–17432	8(8):17402–17432	NOUN
ejpam-6222	370	5	,	,	PUNCT
ejpam-6222	370	6	2023	2023	NUM
ejpam-6222	370	7	.	.	PUNCT