id	sid	tid	token	lemma	pos
ejpam-5928	1	1	european	european	PROPN
ejpam-5928	1	2	journal	journal	PROPN
ejpam-5928	1	3	of	of	ADP
ejpam-5928	1	4	pure	pure	ADJ
ejpam-5928	1	5	and	and	CCONJ
ejpam-5928	1	6	applied	applied	ADJ
ejpam-5928	1	7	mathematics	mathematic	NOUN
ejpam-5928	1	8	2025	2025	NUM
ejpam-5928	1	9	,	,	PUNCT
ejpam-5928	1	10	vol	vol	NOUN
ejpam-5928	1	11	.	.	PROPN
ejpam-5928	1	12	18	18	NUM
ejpam-5928	1	13	,	,	PUNCT
ejpam-5928	1	14	issue	issue	NOUN
ejpam-5928	1	15	2	2	NUM
ejpam-5928	1	16	,	,	PUNCT
ejpam-5928	1	17	article	article	NOUN
ejpam-5928	1	18	number	number	NOUN
ejpam-5928	1	19	5928	5928	NUM
ejpam-5928	1	20	issn	issn	PROPN
ejpam-5928	1	21	1307	1307	NUM
ejpam-5928	1	22	-	-	SYM
ejpam-5928	1	23	5543	5543	NUM
ejpam-5928	1	24	–	–	PUNCT
ejpam-5928	1	25	ejpam.com	ejpam.com	X
ejpam-5928	1	26	published	publish	VERB
ejpam-5928	1	27	by	by	ADP
ejpam-5928	1	28	new	new	PROPN
ejpam-5928	1	29	york	york	PROPN
ejpam-5928	1	30	business	business	PROPN
ejpam-5928	1	31	global	global	ADJ
ejpam-5928	1	32	bipolar	bipolar	ADJ
ejpam-5928	1	33	soft	soft	ADJ
ejpam-5928	1	34	minimal	minimal	ADJ
ejpam-5928	1	35	structures	structure	NOUN
ejpam-5928	1	36	ramadhan	ramadhan	PROPN
ejpam-5928	1	37	a.	a.	PROPN
ejpam-5928	1	38	mohammed	mohammed	PROPN
ejpam-5928	1	39	department	department	PROPN
ejpam-5928	1	40	of	of	ADP
ejpam-5928	1	41	mathematics	mathematics	PROPN
ejpam-5928	1	42	,	,	PUNCT
ejpam-5928	1	43	college	college	NOUN
ejpam-5928	1	44	of	of	ADP
ejpam-5928	1	45	basic	basic	ADJ
ejpam-5928	1	46	education	education	NOUN
ejpam-5928	1	47	,	,	PUNCT
ejpam-5928	1	48	university	university	NOUN
ejpam-5928	1	49	of	of	ADP
ejpam-5928	1	50	duhok	duhok	NOUN
ejpam-5928	1	51	,	,	PUNCT
ejpam-5928	1	52	duhok-42001	duhok-42001	NOUN
ejpam-5928	1	53	,	,	PUNCT
ejpam-5928	1	54	iraq	iraq	PROPN
ejpam-5928	1	55	abstract	abstract	NOUN
ejpam-5928	1	56	.	.	PUNCT
ejpam-5928	2	1	the	the	DET
ejpam-5928	2	2	purpose	purpose	NOUN
ejpam-5928	2	3	of	of	ADP
ejpam-5928	2	4	this	this	DET
ejpam-5928	2	5	paper	paper	NOUN
ejpam-5928	2	6	is	be	AUX
ejpam-5928	2	7	to	to	PART
ejpam-5928	2	8	introduce	introduce	VERB
ejpam-5928	2	9	a	a	DET
ejpam-5928	2	10	new	new	ADJ
ejpam-5928	2	11	structure	structure	NOUN
ejpam-5928	2	12	of	of	ADP
ejpam-5928	2	13	bipolar	bipolar	ADJ
ejpam-5928	2	14	soft	soft	ADJ
ejpam-5928	2	15	topology	topology	NOUN
ejpam-5928	2	16	called	call	VERB
ejpam-5928	2	17	bipolar	bipolar	ADJ
ejpam-5928	2	18	soft	soft	ADJ
ejpam-5928	2	19	minimal	minimal	ADJ
ejpam-5928	2	20	structure	structure	NOUN
ejpam-5928	2	21	.	.	PUNCT
ejpam-5928	3	1	later	later	ADV
ejpam-5928	3	2	,	,	PUNCT
ejpam-5928	3	3	we	we	PRON
ejpam-5928	3	4	present	present	VERB
ejpam-5928	3	5	most	most	ADV
ejpam-5928	3	6	important	important	ADJ
ejpam-5928	3	7	operators	operator	NOUN
ejpam-5928	3	8	in	in	ADP
ejpam-5928	3	9	bipolar	bipolar	ADJ
ejpam-5928	3	10	soft	soft	ADJ
ejpam-5928	3	11	minimal	minimal	ADJ
ejpam-5928	3	12	spaces	space	NOUN
ejpam-5928	3	13	such	such	ADJ
ejpam-5928	3	14	as	as	ADP
ejpam-5928	3	15	˜̃m	˜̃m	ADJ
ejpam-5928	3	16	-	-	PUNCT
ejpam-5928	3	17	interior	interior	ADJ
ejpam-5928	3	18	,	,	PUNCT
ejpam-5928	3	19	˜̃m	˜̃m	NOUN
ejpam-5928	3	20	-	-	PUNCT
ejpam-5928	3	21	closure	closure	NOUN
ejpam-5928	3	22	and	and	CCONJ
ejpam-5928	3	23	˜̃m	˜̃m	ADJ
ejpam-5928	3	24	-	-	PUNCT
ejpam-5928	3	25	boundary	boundary	NOUN
ejpam-5928	3	26	.	.	PUNCT
ejpam-5928	4	1	moreover	moreover	ADV
ejpam-5928	4	2	,	,	PUNCT
ejpam-5928	4	3	we	we	PRON
ejpam-5928	4	4	define	define	VERB
ejpam-5928	4	5	˜̃m	˜̃m	ADV
ejpam-5928	4	6	-	-	PUNCT
ejpam-5928	4	7	separated	separate	VERB
ejpam-5928	4	8	bipolar	bipolar	ADJ
ejpam-5928	4	9	soft	soft	ADJ
ejpam-5928	4	10	sets	set	NOUN
ejpam-5928	4	11	and	and	CCONJ
ejpam-5928	4	12	bipolar	bipolar	ADJ
ejpam-5928	4	13	soft	soft	ADJ
ejpam-5928	4	14	˜̃m	˜̃m	ADV
ejpam-5928	4	15	-	-	PUNCT
ejpam-5928	4	16	connected	connect	VERB
ejpam-5928	4	17	sets	set	NOUN
ejpam-5928	4	18	.	.	PUNCT
ejpam-5928	5	1	furthermore	furthermore	ADV
ejpam-5928	5	2	,	,	PUNCT
ejpam-5928	5	3	we	we	PRON
ejpam-5928	5	4	introduce	introduce	VERB
ejpam-5928	5	5	a	a	DET
ejpam-5928	5	6	new	new	ADJ
ejpam-5928	5	7	concept	concept	NOUN
ejpam-5928	5	8	of	of	ADP
ejpam-5928	5	9	bipolar	bipolar	ADJ
ejpam-5928	5	10	soft	soft	ADJ
ejpam-5928	5	11	minimal	minimal	ADJ
ejpam-5928	5	12	spaces	space	NOUN
ejpam-5928	5	13	called	call	VERB
ejpam-5928	5	14	bipolar	bipolar	ADJ
ejpam-5928	5	15	soft	soft	ADJ
ejpam-5928	5	16	minimal	minimal	ADJ
ejpam-5928	5	17	connected	connect	VERB
ejpam-5928	5	18	.	.	PUNCT
ejpam-5928	6	1	we	we	PRON
ejpam-5928	6	2	prove	prove	VERB
ejpam-5928	6	3	that	that	SCONJ
ejpam-5928	6	4	the	the	DET
ejpam-5928	6	5	bipolar	bipolar	ADJ
ejpam-5928	6	6	soft	soft	ADJ
ejpam-5928	6	7	intersection	intersection	NOUN
ejpam-5928	6	8	of	of	ADP
ejpam-5928	6	9	a	a	DET
ejpam-5928	6	10	pair	pair	NOUN
ejpam-5928	6	11	of	of	ADP
ejpam-5928	6	12	bipolar	bipolar	ADJ
ejpam-5928	6	13	soft	soft	ADJ
ejpam-5928	6	14	˜̃m	˜̃m	ADV
ejpam-5928	6	15	-	-	PUNCT
ejpam-5928	6	16	connected	connect	VERB
ejpam-5928	6	17	spaces	space	NOUN
ejpam-5928	6	18	over	over	ADP
ejpam-5928	6	19	the	the	DET
ejpam-5928	6	20	common	common	ADJ
ejpam-5928	6	21	universal	universal	ADJ
ejpam-5928	6	22	set	set	NOUN
ejpam-5928	6	23	is	be	AUX
ejpam-5928	6	24	a	a	DET
ejpam-5928	6	25	bipolar	bipolar	ADJ
ejpam-5928	6	26	soft	soft	ADJ
ejpam-5928	6	27	˜̃m	˜̃m	ADV
ejpam-5928	6	28	-	-	PUNCT
ejpam-5928	6	29	connected	connect	VERB
ejpam-5928	6	30	space	space	NOUN
ejpam-5928	6	31	.	.	PUNCT
ejpam-5928	7	1	in	in	ADP
ejpam-5928	7	2	addition	addition	NOUN
ejpam-5928	7	3	,	,	PUNCT
ejpam-5928	7	4	we	we	PRON
ejpam-5928	7	5	show	show	VERB
ejpam-5928	7	6	that	that	SCONJ
ejpam-5928	7	7	bipolar	bipolar	ADJ
ejpam-5928	7	8	soft	soft	ADJ
ejpam-5928	7	9	˜̃m	˜̃m	ADV
ejpam-5928	7	10	-	-	PUNCT
ejpam-5928	7	11	connected	connect	VERB
ejpam-5928	7	12	space	space	NOUN
ejpam-5928	7	13	is	be	AUX
ejpam-5928	7	14	not	not	PART
ejpam-5928	7	15	a	a	DET
ejpam-5928	7	16	bipolar	bipolar	ADJ
ejpam-5928	7	17	soft	soft	ADJ
ejpam-5928	7	18	˜̃m	˜̃m	ADJ
ejpam-5928	7	19	-	-	PUNCT
ejpam-5928	7	20	hereditary	hereditary	ADJ
ejpam-5928	7	21	property	property	NOUN
ejpam-5928	7	22	.	.	PUNCT
ejpam-5928	8	1	also	also	ADV
ejpam-5928	8	2	,	,	PUNCT
ejpam-5928	8	3	we	we	PRON
ejpam-5928	8	4	discuss	discuss	VERB
ejpam-5928	8	5	some	some	DET
ejpam-5928	8	6	relations	relation	NOUN
ejpam-5928	8	7	,	,	PUNCT
ejpam-5928	8	8	properties	property	NOUN
ejpam-5928	8	9	and	and	CCONJ
ejpam-5928	8	10	results	result	NOUN
ejpam-5928	8	11	of	of	ADP
ejpam-5928	8	12	these	these	DET
ejpam-5928	8	13	new	new	ADJ
ejpam-5928	8	14	concepts	concept	NOUN
ejpam-5928	8	15	of	of	ADP
ejpam-5928	8	16	bipolar	bipolar	ADJ
ejpam-5928	8	17	soft	soft	ADJ
ejpam-5928	8	18	minimal	minimal	ADJ
ejpam-5928	8	19	spaces	space	NOUN
ejpam-5928	8	20	.	.	PUNCT
ejpam-5928	9	1	finally	finally	ADV
ejpam-5928	9	2	,	,	PUNCT
ejpam-5928	9	3	some	some	DET
ejpam-5928	9	4	counterexamples	counterexample	NOUN
ejpam-5928	9	5	are	be	AUX
ejpam-5928	9	6	provided	provide	VERB
ejpam-5928	9	7	.	.	PUNCT
ejpam-5928	10	1	2020	2020	NUM
ejpam-5928	10	2	mathematics	mathematic	NOUN
ejpam-5928	10	3	subject	subject	NOUN
ejpam-5928	10	4	classifications	classification	NOUN
ejpam-5928	10	5	:	:	PUNCT
ejpam-5928	10	6	03e75	03e75	NUM
ejpam-5928	10	7	,	,	PUNCT
ejpam-5928	10	8	54d05	54d05	NUM
ejpam-5928	10	9	,	,	PUNCT
ejpam-5928	10	10	54a05	54a05	NUM
ejpam-5928	10	11	key	key	ADJ
ejpam-5928	10	12	words	word	NOUN
ejpam-5928	10	13	and	and	CCONJ
ejpam-5928	10	14	phrases	phrase	NOUN
ejpam-5928	10	15	:	:	PUNCT
ejpam-5928	10	16	soft	soft	ADJ
ejpam-5928	10	17	set	set	NOUN
ejpam-5928	10	18	,	,	PUNCT
ejpam-5928	10	19	bipolar	bipolar	ADJ
ejpam-5928	10	20	soft	soft	ADJ
ejpam-5928	10	21	set	set	NOUN
ejpam-5928	10	22	,	,	PUNCT
ejpam-5928	10	23	bipolar	bipolar	ADJ
ejpam-5928	10	24	soft	soft	ADJ
ejpam-5928	10	25	minimal	minimal	ADJ
ejpam-5928	10	26	space	space	NOUN
ejpam-5928	10	27	,	,	PUNCT
ejpam-5928	10	28	˜̃m	˜̃m	ADV
ejpam-5928	10	29	-	-	PUNCT
ejpam-5928	10	30	separated	separate	VERB
ejpam-5928	10	31	bipolar	bipolar	ADJ
ejpam-5928	10	32	soft	soft	ADJ
ejpam-5928	10	33	set	set	NOUN
ejpam-5928	10	34	,	,	PUNCT
ejpam-5928	10	35	bipolar	bipolar	ADJ
ejpam-5928	10	36	soft	soft	ADJ
ejpam-5928	10	37	minimal	minimal	ADJ
ejpam-5928	10	38	connected	connect	VERB
ejpam-5928	10	39	set	set	NOUN
ejpam-5928	10	40	(	(	PUNCT
ejpam-5928	10	41	space	space	NOUN
ejpam-5928	10	42	)	)	PUNCT
ejpam-5928	10	43	1	1	NUM
ejpam-5928	10	44	.	.	X
ejpam-5928	11	1	introduction	introduction	NOUN
ejpam-5928	11	2	soft	soft	ADJ
ejpam-5928	11	3	set	set	NOUN
ejpam-5928	11	4	theory	theory	NOUN
ejpam-5928	11	5	,	,	PUNCT
ejpam-5928	11	6	introduced	introduce	VERB
ejpam-5928	11	7	by	by	ADP
ejpam-5928	11	8	molodtsov	molodtsov	NOUN
ejpam-5928	11	9	[	[	X
ejpam-5928	11	10	1	1	X
ejpam-5928	11	11	]	]	PUNCT
ejpam-5928	11	12	in	in	ADP
ejpam-5928	11	13	1999	1999	NUM
ejpam-5928	11	14	,	,	PUNCT
ejpam-5928	11	15	provides	provide	VERB
ejpam-5928	11	16	a	a	DET
ejpam-5928	11	17	versatile	versatile	ADJ
ejpam-5928	11	18	mathematical	mathematical	ADJ
ejpam-5928	11	19	framework	framework	NOUN
ejpam-5928	11	20	for	for	ADP
ejpam-5928	11	21	handling	handle	VERB
ejpam-5928	11	22	uncertainty	uncertainty	NOUN
ejpam-5928	11	23	,	,	PUNCT
ejpam-5928	11	24	imprecision	imprecision	NOUN
ejpam-5928	11	25	,	,	PUNCT
ejpam-5928	11	26	and	and	CCONJ
ejpam-5928	11	27	vagueness	vagueness	NOUN
ejpam-5928	11	28	in	in	ADP
ejpam-5928	11	29	data	datum	NOUN
ejpam-5928	11	30	.	.	PUNCT
ejpam-5928	12	1	unlike	unlike	ADP
ejpam-5928	12	2	classical	classical	ADJ
ejpam-5928	12	3	set	set	NOUN
ejpam-5928	12	4	theory	theory	NOUN
ejpam-5928	12	5	,	,	PUNCT
ejpam-5928	12	6	which	which	PRON
ejpam-5928	12	7	struggles	struggle	VERB
ejpam-5928	12	8	with	with	ADP
ejpam-5928	12	9	uncertainty	uncertainty	NOUN
ejpam-5928	12	10	in	in	ADP
ejpam-5928	12	11	decision	decision	NOUN
ejpam-5928	12	12	-	-	PUNCT
ejpam-5928	12	13	making	make	VERB
ejpam-5928	12	14	processes	process	NOUN
ejpam-5928	12	15	,	,	PUNCT
ejpam-5928	12	16	soft	soft	ADJ
ejpam-5928	12	17	set	set	NOUN
ejpam-5928	12	18	theory	theory	NOUN
ejpam-5928	12	19	offers	offer	VERB
ejpam-5928	12	20	a	a	DET
ejpam-5928	12	21	more	more	ADV
ejpam-5928	12	22	flexible	flexible	ADJ
ejpam-5928	12	23	approach	approach	NOUN
ejpam-5928	12	24	by	by	ADP
ejpam-5928	12	25	associating	associate	VERB
ejpam-5928	12	26	parameters	parameter	NOUN
ejpam-5928	12	27	with	with	ADP
ejpam-5928	12	28	elements	element	NOUN
ejpam-5928	12	29	,	,	PUNCT
ejpam-5928	12	30	allowing	allow	VERB
ejpam-5928	12	31	for	for	ADP
ejpam-5928	12	32	more	more	ADV
ejpam-5928	12	33	nuanced	nuanced	ADJ
ejpam-5928	12	34	information	information	NOUN
ejpam-5928	12	35	representation	representation	NOUN
ejpam-5928	12	36	.	.	PUNCT
ejpam-5928	13	1	this	this	DET
ejpam-5928	13	2	adaptability	adaptability	NOUN
ejpam-5928	13	3	makes	make	VERB
ejpam-5928	13	4	soft	soft	ADJ
ejpam-5928	13	5	sets	set	NOUN
ejpam-5928	13	6	highly	highly	ADV
ejpam-5928	13	7	applicable	applicable	ADJ
ejpam-5928	13	8	in	in	ADP
ejpam-5928	13	9	areas	area	NOUN
ejpam-5928	13	10	such	such	ADJ
ejpam-5928	13	11	as	as	ADP
ejpam-5928	13	12	decision	decision	NOUN
ejpam-5928	13	13	-	-	PUNCT
ejpam-5928	13	14	making	making	NOUN
ejpam-5928	13	15	,	,	PUNCT
ejpam-5928	13	16	data	datum	NOUN
ejpam-5928	13	17	analysis	analysis	NOUN
ejpam-5928	13	18	,	,	PUNCT
ejpam-5928	13	19	engineering	engineering	NOUN
ejpam-5928	13	20	,	,	PUNCT
ejpam-5928	13	21	and	and	CCONJ
ejpam-5928	13	22	artificial	artificial	ADJ
ejpam-5928	13	23	intelligence	intelligence	NOUN
ejpam-5928	13	24	,	,	PUNCT
ejpam-5928	13	25	where	where	SCONJ
ejpam-5928	13	26	handling	handle	VERB
ejpam-5928	13	27	imprecise	imprecise	ADV
ejpam-5928	13	28	or	or	CCONJ
ejpam-5928	13	29	incomplete	incomplete	ADJ
ejpam-5928	13	30	information	information	NOUN
ejpam-5928	13	31	is	be	AUX
ejpam-5928	13	32	critical	critical	ADJ
ejpam-5928	13	33	.	.	PUNCT
ejpam-5928	14	1	soft	soft	ADJ
ejpam-5928	14	2	set	set	ADJ
ejpam-5928	14	3	theory	theory	NOUN
ejpam-5928	14	4	’s	’s	PART
ejpam-5928	14	5	strength	strength	NOUN
ejpam-5928	14	6	lies	lie	VERB
ejpam-5928	14	7	in	in	ADP
ejpam-5928	14	8	its	its	PRON
ejpam-5928	14	9	simplicity	simplicity	NOUN
ejpam-5928	14	10	and	and	CCONJ
ejpam-5928	14	11	generality	generality	NOUN
ejpam-5928	14	12	,	,	PUNCT
ejpam-5928	14	13	as	as	SCONJ
ejpam-5928	14	14	it	it	PRON
ejpam-5928	14	15	does	do	AUX
ejpam-5928	14	16	not	not	PART
ejpam-5928	14	17	require	require	VERB
ejpam-5928	14	18	the	the	DET
ejpam-5928	14	19	strict	strict	ADJ
ejpam-5928	14	20	mathematical	mathematical	ADJ
ejpam-5928	14	21	constraints	constraint	NOUN
ejpam-5928	14	22	of	of	ADP
ejpam-5928	14	23	other	other	ADJ
ejpam-5928	14	24	uncertainty	uncertainty	NOUN
ejpam-5928	14	25	models	model	NOUN
ejpam-5928	14	26	like	like	ADP
ejpam-5928	14	27	fuzzy	fuzzy	ADJ
ejpam-5928	14	28	sets	set	NOUN
ejpam-5928	14	29	or	or	CCONJ
ejpam-5928	14	30	rough	rough	ADJ
ejpam-5928	14	31	sets	set	NOUN
ejpam-5928	14	32	.	.	PUNCT
ejpam-5928	15	1	it	it	PRON
ejpam-5928	15	2	has	have	AUX
ejpam-5928	15	3	been	be	AUX
ejpam-5928	15	4	successfully	successfully	ADV
ejpam-5928	15	5	applied	apply	VERB
ejpam-5928	15	6	to	to	ADP
ejpam-5928	15	7	a	a	DET
ejpam-5928	15	8	wide	wide	ADJ
ejpam-5928	15	9	range	range	NOUN
ejpam-5928	15	10	of	of	ADP
ejpam-5928	15	11	disciplines	discipline	NOUN
ejpam-5928	15	12	,	,	PUNCT
ejpam-5928	15	13	including	include	VERB
ejpam-5928	15	14	medical	medical	ADJ
ejpam-5928	15	15	diagnosis	diagnosis	NOUN
ejpam-5928	15	16	,	,	PUNCT
ejpam-5928	15	17	economics	economic	NOUN
ejpam-5928	15	18	,	,	PUNCT
ejpam-5928	15	19	social	social	ADJ
ejpam-5928	15	20	sciences	science	NOUN
ejpam-5928	15	21	,	,	PUNCT
ejpam-5928	15	22	and	and	CCONJ
ejpam-5928	15	23	optimization	optimization	NOUN
ejpam-5928	15	24	problems	problem	NOUN
ejpam-5928	15	25	.	.	PUNCT
ejpam-5928	16	1	researchers	researcher	NOUN
ejpam-5928	16	2	have	have	AUX
ejpam-5928	16	3	extended	extend	VERB
ejpam-5928	16	4	soft	soft	ADJ
ejpam-5928	16	5	set	set	NOUN
ejpam-5928	16	6	theory	theory	NOUN
ejpam-5928	16	7	by	by	ADP
ejpam-5928	16	8	redefining	redefine	VERB
ejpam-5928	16	9	operations	operation	NOUN
ejpam-5928	16	10	,	,	PUNCT
ejpam-5928	16	11	introducing	introduce	VERB
ejpam-5928	16	12	new	new	ADJ
ejpam-5928	16	13	concepts	concept	NOUN
ejpam-5928	16	14	,	,	PUNCT
ejpam-5928	16	15	and	and	CCONJ
ejpam-5928	16	16	developing	develop	VERB
ejpam-5928	16	17	hybrid	hybrid	ADJ
ejpam-5928	16	18	approaches	approach	NOUN
ejpam-5928	16	19	that	that	PRON
ejpam-5928	16	20	combine	combine	VERB
ejpam-5928	16	21	soft	soft	ADJ
ejpam-5928	16	22	sets	set	NOUN
ejpam-5928	16	23	with	with	ADP
ejpam-5928	16	24	other	other	ADJ
ejpam-5928	16	25	mathematical	mathematical	ADJ
ejpam-5928	16	26	frameworks	framework	NOUN
ejpam-5928	16	27	to	to	PART
ejpam-5928	16	28	solve	solve	VERB
ejpam-5928	16	29	complex	complex	ADJ
ejpam-5928	16	30	real	real	ADJ
ejpam-5928	16	31	-	-	PUNCT
ejpam-5928	16	32	world	world	NOUN
ejpam-5928	16	33	problems	problem	NOUN
ejpam-5928	16	34	.	.	PUNCT
ejpam-5928	17	1	other	other	ADJ
ejpam-5928	17	2	researchers	researcher	NOUN
ejpam-5928	17	3	,	,	PUNCT
ejpam-5928	17	4	doi	doi	PROPN
ejpam-5928	17	5	:	:	PUNCT
ejpam-5928	17	6	https://doi.org/10.29020/nybg.ejpam.v18i2.5928	https://doi.org/10.29020/nybg.ejpam.v18i2.5928	VERB
ejpam-5928	17	7	email	email	NOUN
ejpam-5928	17	8	address	address	NOUN
ejpam-5928	17	9	:	:	PUNCT
ejpam-5928	17	10	ramadhan.hajani@uod.ac	ramadhan.hajani@uod.ac	NOUN
ejpam-5928	17	11	(	(	PUNCT
ejpam-5928	17	12	r.	r.	PROPN
ejpam-5928	17	13	a.	a.	PROPN
ejpam-5928	17	14	mohammed	mohammed	PROPN
ejpam-5928	17	15	)	)	PUNCT
ejpam-5928	17	16	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5928	18	1	1	1	NUM
ejpam-5928	18	2	copyright	copyright	NOUN
ejpam-5928	18	3	:	:	PUNCT
ejpam-5928	18	4	©	©	PROPN
ejpam-5928	18	5	2025	2025	NUM
ejpam-5928	18	6	the	the	DET
ejpam-5928	18	7	author(s	author(s	NOUN
ejpam-5928	18	8	)	)	PUNCT
ejpam-5928	18	9	.	.	PUNCT
ejpam-5928	19	1	(	(	PUNCT
ejpam-5928	19	2	cc	cc	NOUN
ejpam-5928	19	3	by	by	ADP
ejpam-5928	19	4	-	-	PUNCT
ejpam-5928	19	5	nc	nc	PROPN
ejpam-5928	19	6	4.0	4.0	NUM
ejpam-5928	19	7	)	)	PUNCT
ejpam-5928	19	8	r.	r.	PROPN
ejpam-5928	19	9	a.	a.	PROPN
ejpam-5928	19	10	mohammed	mohammed	PROPN
ejpam-5928	19	11	/	/	SYM
ejpam-5928	19	12	eur	eur	PROPN
ejpam-5928	19	13	.	.	PUNCT
ejpam-5928	20	1	j.	j.	PROPN
ejpam-5928	20	2	pure	pure	PROPN
ejpam-5928	20	3	appl	appl	PROPN
ejpam-5928	20	4	.	.	PROPN
ejpam-5928	20	5	math	math	PROPN
ejpam-5928	20	6	,	,	PUNCT
ejpam-5928	20	7	18	18	NUM
ejpam-5928	20	8	(	(	PUNCT
ejpam-5928	20	9	2	2	NUM
ejpam-5928	20	10	)	)	PUNCT
ejpam-5928	20	11	(	(	PUNCT
ejpam-5928	20	12	2025	2025	NUM
ejpam-5928	20	13	)	)	PUNCT
ejpam-5928	20	14	,	,	PUNCT
ejpam-5928	20	15	5928	5928	NUM
ejpam-5928	20	16	2	2	NUM
ejpam-5928	20	17	of	of	ADP
ejpam-5928	20	18	26	26	NUM
ejpam-5928	20	19	like	like	ADP
ejpam-5928	20	20	maji	maji	PROPN
ejpam-5928	20	21	et	et	PROPN
ejpam-5928	20	22	al	al	PROPN
ejpam-5928	20	23	.	.	PUNCT
ejpam-5928	21	1	[	[	X
ejpam-5928	21	2	2	2	NUM
ejpam-5928	21	3	]	]	PUNCT
ejpam-5928	21	4	,	,	PUNCT
ejpam-5928	21	5	have	have	AUX
ejpam-5928	21	6	contributed	contribute	VERB
ejpam-5928	21	7	by	by	ADP
ejpam-5928	21	8	refining	refine	VERB
ejpam-5928	21	9	operations	operation	NOUN
ejpam-5928	21	10	within	within	ADP
ejpam-5928	21	11	soft	soft	ADJ
ejpam-5928	21	12	sets	set	NOUN
ejpam-5928	21	13	,	,	PUNCT
ejpam-5928	21	14	and	and	CCONJ
ejpam-5928	21	15	çaǧman	çaǧman	PROPN
ejpam-5928	21	16	and	and	CCONJ
ejpam-5928	21	17	enginoğlu	enginoğlu	PROPN
ejpam-5928	22	1	[	[	X
ejpam-5928	22	2	3	3	NUM
ejpam-5928	22	3	]	]	PUNCT
ejpam-5928	22	4	later	later	ADV
ejpam-5928	22	5	redefined	redefine	VERB
ejpam-5928	22	6	these	these	DET
ejpam-5928	22	7	operations	operation	NOUN
ejpam-5928	22	8	to	to	PART
ejpam-5928	22	9	create	create	VERB
ejpam-5928	22	10	a	a	DET
ejpam-5928	22	11	uni	uni	ADJ
ejpam-5928	22	12	-	-	ADJ
ejpam-5928	22	13	int	int	NOUN
ejpam-5928	22	14	decision	decision	NOUN
ejpam-5928	22	15	-	-	PUNCT
ejpam-5928	22	16	making	make	VERB
ejpam-5928	22	17	method	method	NOUN
ejpam-5928	22	18	.	.	PUNCT
ejpam-5928	23	1	aktas	akta	NOUN
ejpam-5928	23	2	and	and	CCONJ
ejpam-5928	23	3	çağman	çağman	NOUN
ejpam-5928	24	1	[	[	X
ejpam-5928	24	2	4	4	NUM
ejpam-5928	24	3	]	]	PUNCT
ejpam-5928	24	4	compared	compare	VERB
ejpam-5928	24	5	soft	soft	ADJ
ejpam-5928	24	6	sets	set	NOUN
ejpam-5928	24	7	with	with	ADP
ejpam-5928	24	8	fuzzy	fuzzy	ADJ
ejpam-5928	24	9	and	and	CCONJ
ejpam-5928	24	10	rough	rough	ADJ
ejpam-5928	24	11	sets	set	NOUN
ejpam-5928	24	12	.	.	PUNCT
ejpam-5928	25	1	many	many	ADJ
ejpam-5928	25	2	researchers	researcher	NOUN
ejpam-5928	25	3	have	have	AUX
ejpam-5928	25	4	since	since	SCONJ
ejpam-5928	25	5	explored	explore	VERB
ejpam-5928	25	6	properties	property	NOUN
ejpam-5928	25	7	and	and	CCONJ
ejpam-5928	25	8	applications	application	NOUN
ejpam-5928	25	9	of	of	ADP
ejpam-5928	25	10	soft	soft	ADJ
ejpam-5928	25	11	set	set	NOUN
ejpam-5928	25	12	theory	theory	NOUN
ejpam-5928	25	13	(	(	PUNCT
ejpam-5928	25	14	see	see	VERB
ejpam-5928	25	15	[	[	X
ejpam-5928	25	16	5	5	NUM
ejpam-5928	25	17	]	]	PUNCT
ejpam-5928	25	18	,	,	PUNCT
ejpam-5928	25	19	[	[	X
ejpam-5928	25	20	6	6	NUM
ejpam-5928	25	21	]	]	PUNCT
ejpam-5928	25	22	,	,	PUNCT
ejpam-5928	25	23	[	[	X
ejpam-5928	25	24	7	7	NUM
ejpam-5928	25	25	]	]	PUNCT
ejpam-5928	25	26	,	,	PUNCT
ejpam-5928	25	27	[	[	X
ejpam-5928	25	28	8	8	NUM
ejpam-5928	25	29	]	]	PUNCT
ejpam-5928	25	30	,	,	PUNCT
ejpam-5928	25	31	[	[	X
ejpam-5928	25	32	9	9	NUM
ejpam-5928	25	33	]	]	PUNCT
ejpam-5928	25	34	,	,	PUNCT
ejpam-5928	25	35	[	[	X
ejpam-5928	25	36	10	10	NUM
ejpam-5928	25	37	]	]	PUNCT
ejpam-5928	25	38	,	,	PUNCT
ejpam-5928	25	39	[	[	X
ejpam-5928	25	40	11	11	NUM
ejpam-5928	25	41	]	]	PUNCT
ejpam-5928	25	42	,	,	PUNCT
ejpam-5928	25	43	[	[	X
ejpam-5928	25	44	12	12	NUM
ejpam-5928	25	45	]	]	PUNCT
ejpam-5928	25	46	,	,	PUNCT
ejpam-5928	25	47	[	[	X
ejpam-5928	25	48	13	13	NUM
ejpam-5928	25	49	]	]	NUM
ejpam-5928	25	50	)	)	PUNCT
ejpam-5928	25	51	.	.	PUNCT
ejpam-5928	26	1	building	build	VERB
ejpam-5928	26	2	on	on	ADP
ejpam-5928	26	3	soft	soft	ADJ
ejpam-5928	26	4	set	set	NOUN
ejpam-5928	26	5	theory	theory	NOUN
ejpam-5928	26	6	,	,	PUNCT
ejpam-5928	26	7	the	the	DET
ejpam-5928	26	8	concept	concept	NOUN
ejpam-5928	26	9	of	of	ADP
ejpam-5928	26	10	soft	soft	ADJ
ejpam-5928	26	11	topology	topology	NOUN
ejpam-5928	26	12	emerged	emerge	VERB
ejpam-5928	26	13	as	as	ADP
ejpam-5928	26	14	a	a	DET
ejpam-5928	26	15	new	new	ADJ
ejpam-5928	26	16	field	field	NOUN
ejpam-5928	26	17	of	of	ADP
ejpam-5928	26	18	study	study	NOUN
ejpam-5928	26	19	to	to	PART
ejpam-5928	26	20	address	address	VERB
ejpam-5928	26	21	topological	topological	ADJ
ejpam-5928	26	22	structures	structure	NOUN
ejpam-5928	26	23	within	within	ADP
ejpam-5928	26	24	the	the	DET
ejpam-5928	26	25	framework	framework	NOUN
ejpam-5928	26	26	of	of	ADP
ejpam-5928	26	27	soft	soft	ADJ
ejpam-5928	26	28	sets	set	NOUN
ejpam-5928	26	29	.	.	PUNCT
ejpam-5928	27	1	soft	soft	ADJ
ejpam-5928	27	2	topology	topology	NOUN
ejpam-5928	27	3	,	,	PUNCT
ejpam-5928	27	4	first	first	ADV
ejpam-5928	27	5	introduced	introduce	VERB
ejpam-5928	27	6	by	by	ADP
ejpam-5928	27	7	shabir	shabir	PROPN
ejpam-5928	27	8	and	and	CCONJ
ejpam-5928	27	9	naz	naz	PROPN
ejpam-5928	28	1	[	[	X
ejpam-5928	28	2	14	14	NUM
ejpam-5928	28	3	]	]	PUNCT
ejpam-5928	28	4	in	in	ADP
ejpam-5928	28	5	2011	2011	NUM
ejpam-5928	28	6	,	,	PUNCT
ejpam-5928	28	7	provides	provide	VERB
ejpam-5928	28	8	a	a	DET
ejpam-5928	28	9	topological	topological	ADJ
ejpam-5928	28	10	structure	structure	NOUN
ejpam-5928	28	11	by	by	ADP
ejpam-5928	28	12	defining	define	VERB
ejpam-5928	28	13	open	open	ADJ
ejpam-5928	28	14	and	and	CCONJ
ejpam-5928	28	15	closed	closed	ADJ
ejpam-5928	28	16	sets	set	NOUN
ejpam-5928	28	17	in	in	ADP
ejpam-5928	28	18	terms	term	NOUN
ejpam-5928	28	19	of	of	ADP
ejpam-5928	28	20	soft	soft	ADJ
ejpam-5928	28	21	sets	set	NOUN
ejpam-5928	28	22	.	.	PUNCT
ejpam-5928	29	1	çaǧman	çaǧman	NOUN
ejpam-5928	30	1	[	[	X
ejpam-5928	30	2	15	15	NUM
ejpam-5928	30	3	]	]	X
ejpam-5928	30	4	further	far	ADV
ejpam-5928	30	5	developed	develop	VERB
ejpam-5928	30	6	this	this	DET
ejpam-5928	30	7	notion	notion	NOUN
ejpam-5928	30	8	.	.	PUNCT
ejpam-5928	31	1	this	this	DET
ejpam-5928	31	2	new	new	ADJ
ejpam-5928	31	3	form	form	NOUN
ejpam-5928	31	4	of	of	ADP
ejpam-5928	31	5	topology	topology	NOUN
ejpam-5928	31	6	has	have	AUX
ejpam-5928	31	7	led	lead	VERB
ejpam-5928	31	8	to	to	ADP
ejpam-5928	31	9	the	the	DET
ejpam-5928	31	10	exploration	exploration	NOUN
ejpam-5928	31	11	of	of	ADP
ejpam-5928	31	12	various	various	ADJ
ejpam-5928	31	13	properties	property	NOUN
ejpam-5928	31	14	and	and	CCONJ
ejpam-5928	31	15	concepts	concept	NOUN
ejpam-5928	31	16	,	,	PUNCT
ejpam-5928	31	17	such	such	ADJ
ejpam-5928	31	18	as	as	ADP
ejpam-5928	31	19	soft	soft	ADJ
ejpam-5928	31	20	open	open	ADJ
ejpam-5928	31	21	sets	set	NOUN
ejpam-5928	31	22	,	,	PUNCT
ejpam-5928	31	23	soft	soft	ADJ
ejpam-5928	31	24	continuity	continuity	NOUN
ejpam-5928	31	25	,	,	PUNCT
ejpam-5928	31	26	and	and	CCONJ
ejpam-5928	31	27	soft	soft	ADJ
ejpam-5928	31	28	compactness	compactness	NOUN
ejpam-5928	31	29	,	,	PUNCT
ejpam-5928	31	30	within	within	ADP
ejpam-5928	31	31	a	a	DET
ejpam-5928	31	32	soft	soft	ADJ
ejpam-5928	31	33	set	set	VERB
ejpam-5928	31	34	framework	framework	NOUN
ejpam-5928	31	35	.	.	PUNCT
ejpam-5928	32	1	soft	soft	ADJ
ejpam-5928	32	2	topological	topological	ADJ
ejpam-5928	32	3	spaces	space	NOUN
ejpam-5928	32	4	extend	extend	VERB
ejpam-5928	32	5	classical	classical	ADJ
ejpam-5928	32	6	topology	topology	NOUN
ejpam-5928	32	7	and	and	CCONJ
ejpam-5928	32	8	have	have	AUX
ejpam-5928	32	9	been	be	AUX
ejpam-5928	32	10	applied	apply	VERB
ejpam-5928	32	11	in	in	ADP
ejpam-5928	32	12	fields	field	NOUN
ejpam-5928	32	13	like	like	ADP
ejpam-5928	32	14	decisionmaking	decisionmake	VERB
ejpam-5928	32	15	,	,	PUNCT
ejpam-5928	32	16	optimization	optimization	NOUN
ejpam-5928	32	17	,	,	PUNCT
ejpam-5928	32	18	and	and	CCONJ
ejpam-5928	32	19	computer	computer	NOUN
ejpam-5928	32	20	science	science	NOUN
ejpam-5928	32	21	,	,	PUNCT
ejpam-5928	32	22	providing	provide	VERB
ejpam-5928	32	23	a	a	DET
ejpam-5928	32	24	robust	robust	ADJ
ejpam-5928	32	25	tool	tool	NOUN
ejpam-5928	32	26	for	for	ADP
ejpam-5928	32	27	analyzing	analyze	VERB
ejpam-5928	32	28	spaces	space	NOUN
ejpam-5928	32	29	with	with	ADP
ejpam-5928	32	30	uncertain	uncertain	ADJ
ejpam-5928	32	31	or	or	CCONJ
ejpam-5928	32	32	imprecise	imprecise	ADJ
ejpam-5928	32	33	boundaries	boundary	NOUN
ejpam-5928	32	34	.	.	PUNCT
ejpam-5928	33	1	over	over	ADP
ejpam-5928	33	2	time	time	NOUN
ejpam-5928	33	3	,	,	PUNCT
ejpam-5928	33	4	researchers	researcher	NOUN
ejpam-5928	33	5	have	have	AUX
ejpam-5928	33	6	refined	refine	VERB
ejpam-5928	33	7	and	and	CCONJ
ejpam-5928	33	8	expanded	expand	VERB
ejpam-5928	33	9	the	the	DET
ejpam-5928	33	10	theory	theory	NOUN
ejpam-5928	33	11	,	,	PUNCT
ejpam-5928	33	12	introducing	introduce	VERB
ejpam-5928	33	13	concepts	concept	NOUN
ejpam-5928	33	14	such	such	ADJ
ejpam-5928	33	15	as	as	ADP
ejpam-5928	33	16	soft	soft	ADJ
ejpam-5928	33	17	minimal	minimal	ADJ
ejpam-5928	33	18	spaces	space	NOUN
ejpam-5928	33	19	and	and	CCONJ
ejpam-5928	33	20	bipolar	bipolar	ADJ
ejpam-5928	33	21	soft	soft	ADJ
ejpam-5928	33	22	sets	set	NOUN
ejpam-5928	33	23	,	,	PUNCT
ejpam-5928	33	24	allowing	allow	VERB
ejpam-5928	33	25	for	for	ADP
ejpam-5928	33	26	even	even	ADV
ejpam-5928	33	27	greater	great	ADJ
ejpam-5928	33	28	flexibility	flexibility	NOUN
ejpam-5928	33	29	in	in	ADP
ejpam-5928	33	30	addressing	address	VERB
ejpam-5928	33	31	uncertainty	uncertainty	NOUN
ejpam-5928	33	32	in	in	ADP
ejpam-5928	33	33	topological	topological	ADJ
ejpam-5928	33	34	and	and	CCONJ
ejpam-5928	33	35	decision	decision	NOUN
ejpam-5928	33	36	-	-	PUNCT
ejpam-5928	33	37	making	make	VERB
ejpam-5928	33	38	processes	process	NOUN
ejpam-5928	33	39	.	.	PUNCT
ejpam-5928	34	1	numerous	numerous	ADJ
ejpam-5928	34	2	studies	study	NOUN
ejpam-5928	34	3	have	have	AUX
ejpam-5928	34	4	since	since	SCONJ
ejpam-5928	34	5	examined	examine	VERB
ejpam-5928	34	6	soft	soft	ADJ
ejpam-5928	34	7	topological	topological	ADJ
ejpam-5928	34	8	spaces	space	NOUN
ejpam-5928	34	9	,	,	PUNCT
ejpam-5928	34	10	their	their	PRON
ejpam-5928	34	11	properties	property	NOUN
ejpam-5928	34	12	,	,	PUNCT
ejpam-5928	34	13	and	and	CCONJ
ejpam-5928	34	14	their	their	PRON
ejpam-5928	34	15	applications	application	NOUN
ejpam-5928	34	16	(	(	PUNCT
ejpam-5928	34	17	see	see	VERB
ejpam-5928	34	18	[	[	X
ejpam-5928	34	19	16	16	NUM
ejpam-5928	34	20	]	]	PUNCT
ejpam-5928	34	21	,	,	PUNCT
ejpam-5928	34	22	[	[	X
ejpam-5928	34	23	17	17	NUM
ejpam-5928	34	24	]	]	PUNCT
ejpam-5928	34	25	,	,	PUNCT
ejpam-5928	34	26	[	[	X
ejpam-5928	34	27	18	18	NUM
ejpam-5928	34	28	]	]	PUNCT
ejpam-5928	34	29	,	,	PUNCT
ejpam-5928	34	30	[	[	X
ejpam-5928	34	31	19	19	NUM
ejpam-5928	34	32	]	]	PUNCT
ejpam-5928	34	33	,	,	PUNCT
ejpam-5928	34	34	[	[	X
ejpam-5928	34	35	20	20	NUM
ejpam-5928	34	36	]	]	PUNCT
ejpam-5928	34	37	,	,	PUNCT
ejpam-5928	34	38	[	[	X
ejpam-5928	34	39	21	21	NUM
ejpam-5928	34	40	]	]	PUNCT
ejpam-5928	34	41	,	,	PUNCT
ejpam-5928	34	42	[	[	X
ejpam-5928	34	43	22	22	NUM
ejpam-5928	34	44	]	]	PUNCT
ejpam-5928	34	45	,	,	PUNCT
ejpam-5928	34	46	[	[	X
ejpam-5928	34	47	23	23	NUM
ejpam-5928	34	48	]	]	PUNCT
ejpam-5928	34	49	,	,	PUNCT
ejpam-5928	34	50	[	[	X
ejpam-5928	34	51	24	24	NUM
ejpam-5928	34	52	]	]	PUNCT
ejpam-5928	34	53	,	,	PUNCT
ejpam-5928	34	54	[	[	X
ejpam-5928	34	55	25	25	NUM
ejpam-5928	34	56	]	]	PUNCT
ejpam-5928	34	57	,	,	PUNCT
ejpam-5928	34	58	[	[	X
ejpam-5928	34	59	26	26	NUM
ejpam-5928	34	60	]	]	PUNCT
ejpam-5928	34	61	,	,	PUNCT
ejpam-5928	34	62	[	[	X
ejpam-5928	34	63	14	14	NUM
ejpam-5928	34	64	]	]	SYM
ejpam-5928	34	65	)	)	PUNCT
ejpam-5928	34	66	.	.	PUNCT
ejpam-5928	35	1	thomas	thomas	PROPN
ejpam-5928	35	2	and	and	CCONJ
ejpam-5928	35	3	john	john	PROPN
ejpam-5928	36	1	[	[	X
ejpam-5928	36	2	27	27	NUM
ejpam-5928	36	3	]	]	PUNCT
ejpam-5928	36	4	expanded	expand	VERB
ejpam-5928	36	5	on	on	ADP
ejpam-5928	36	6	this	this	PRON
ejpam-5928	36	7	with	with	ADP
ejpam-5928	36	8	the	the	DET
ejpam-5928	36	9	idea	idea	NOUN
ejpam-5928	36	10	of	of	ADP
ejpam-5928	36	11	soft	soft	ADJ
ejpam-5928	36	12	minimal	minimal	ADJ
ejpam-5928	36	13	spaces	space	NOUN
ejpam-5928	36	14	(	(	PUNCT
ejpam-5928	36	15	smss	smss	PROPN
ejpam-5928	36	16	)	)	PUNCT
ejpam-5928	36	17	,	,	PUNCT
ejpam-5928	36	18	examining	examine	VERB
ejpam-5928	36	19	characteristics	characteristic	NOUN
ejpam-5928	36	20	like	like	ADP
ejpam-5928	36	21	compactness	compactness	NOUN
ejpam-5928	36	22	and	and	CCONJ
ejpam-5928	36	23	separation	separation	NOUN
ejpam-5928	36	24	axioms	axiom	NOUN
ejpam-5928	36	25	.	.	PUNCT
ejpam-5928	37	1	bipolar	bipolar	ADJ
ejpam-5928	37	2	soft	soft	ADJ
ejpam-5928	37	3	set	set	NOUN
ejpam-5928	37	4	theory	theory	NOUN
ejpam-5928	37	5	,	,	PUNCT
ejpam-5928	37	6	an	an	DET
ejpam-5928	37	7	extension	extension	NOUN
ejpam-5928	37	8	of	of	ADP
ejpam-5928	37	9	soft	soft	ADJ
ejpam-5928	37	10	set	set	NOUN
ejpam-5928	37	11	theory	theory	NOUN
ejpam-5928	37	12	,	,	PUNCT
ejpam-5928	37	13	was	be	AUX
ejpam-5928	37	14	developed	develop	VERB
ejpam-5928	37	15	to	to	PART
ejpam-5928	37	16	handle	handle	VERB
ejpam-5928	37	17	situations	situation	NOUN
ejpam-5928	37	18	where	where	SCONJ
ejpam-5928	37	19	uncertainty	uncertainty	NOUN
ejpam-5928	37	20	arises	arise	VERB
ejpam-5928	37	21	from	from	ADP
ejpam-5928	37	22	two	two	NUM
ejpam-5928	37	23	opposing	opposing	ADJ
ejpam-5928	37	24	perspectives	perspective	NOUN
ejpam-5928	37	25	,	,	PUNCT
ejpam-5928	37	26	often	often	ADV
ejpam-5928	37	27	referred	refer	VERB
ejpam-5928	37	28	to	to	ADP
ejpam-5928	37	29	as	as	ADP
ejpam-5928	37	30	”	"	PUNCT
ejpam-5928	37	31	positive	positive	ADJ
ejpam-5928	37	32	”	"	PUNCT
ejpam-5928	37	33	and	and	CCONJ
ejpam-5928	37	34	”	"	PUNCT
ejpam-5928	37	35	negative	negative	ADJ
ejpam-5928	37	36	”	"	PUNCT
ejpam-5928	37	37	information	information	NOUN
ejpam-5928	37	38	.	.	PUNCT
ejpam-5928	38	1	introduced	introduce	VERB
ejpam-5928	38	2	by	by	ADP
ejpam-5928	38	3	shabir	shabir	PROPN
ejpam-5928	38	4	and	and	CCONJ
ejpam-5928	38	5	naz	naz	PROPN
ejpam-5928	38	6	[	[	X
ejpam-5928	38	7	28	28	NUM
ejpam-5928	38	8	]	]	X
ejpam-5928	38	9	in	in	ADP
ejpam-5928	38	10	2013	2013	NUM
ejpam-5928	38	11	,	,	PUNCT
ejpam-5928	38	12	bipolar	bipolar	ADJ
ejpam-5928	38	13	soft	soft	ADJ
ejpam-5928	38	14	sets	set	NOUN
ejpam-5928	38	15	generalize	generalize	VERB
ejpam-5928	38	16	the	the	DET
ejpam-5928	38	17	classical	classical	ADJ
ejpam-5928	38	18	soft	soft	ADJ
ejpam-5928	38	19	set	set	NOUN
ejpam-5928	38	20	by	by	ADP
ejpam-5928	38	21	associating	associate	VERB
ejpam-5928	38	22	each	each	DET
ejpam-5928	38	23	parameter	parameter	NOUN
ejpam-5928	38	24	with	with	ADP
ejpam-5928	38	25	two	two	NUM
ejpam-5928	38	26	sets	set	NOUN
ejpam-5928	38	27	:	:	PUNCT
ejpam-5928	38	28	one	one	NUM
ejpam-5928	38	29	representing	represent	VERB
ejpam-5928	38	30	positive	positive	ADJ
ejpam-5928	38	31	attributes	attribute	NOUN
ejpam-5928	38	32	and	and	CCONJ
ejpam-5928	38	33	the	the	DET
ejpam-5928	38	34	other	other	ADJ
ejpam-5928	38	35	negative	negative	ADJ
ejpam-5928	38	36	attributes	attribute	NOUN
ejpam-5928	38	37	.	.	PUNCT
ejpam-5928	39	1	this	this	DET
ejpam-5928	39	2	dual	dual	ADJ
ejpam-5928	39	3	representation	representation	NOUN
ejpam-5928	39	4	makes	make	VERB
ejpam-5928	39	5	bipolar	bipolar	ADJ
ejpam-5928	39	6	soft	soft	ADJ
ejpam-5928	39	7	sets	set	NOUN
ejpam-5928	39	8	particularly	particularly	ADV
ejpam-5928	39	9	useful	useful	ADJ
ejpam-5928	39	10	in	in	ADP
ejpam-5928	39	11	decision	decision	NOUN
ejpam-5928	39	12	-	-	PUNCT
ejpam-5928	39	13	making	make	VERB
ejpam-5928	39	14	processes	process	NOUN
ejpam-5928	39	15	where	where	SCONJ
ejpam-5928	39	16	both	both	PRON
ejpam-5928	39	17	favorable	favorable	ADJ
ejpam-5928	39	18	and	and	CCONJ
ejpam-5928	39	19	unfavorable	unfavorable	ADJ
ejpam-5928	39	20	factors	factor	NOUN
ejpam-5928	39	21	must	must	AUX
ejpam-5928	39	22	be	be	AUX
ejpam-5928	39	23	considered	consider	VERB
ejpam-5928	39	24	simultaneously	simultaneously	ADV
ejpam-5928	39	25	.	.	PUNCT
ejpam-5928	40	1	bipolar	bipolar	ADJ
ejpam-5928	40	2	soft	soft	ADJ
ejpam-5928	40	3	set	set	NOUN
ejpam-5928	40	4	theory	theory	NOUN
ejpam-5928	40	5	addresses	address	VERB
ejpam-5928	40	6	limitations	limitation	NOUN
ejpam-5928	40	7	in	in	ADP
ejpam-5928	40	8	traditional	traditional	ADJ
ejpam-5928	40	9	soft	soft	ADJ
ejpam-5928	40	10	sets	set	NOUN
ejpam-5928	40	11	by	by	ADP
ejpam-5928	40	12	capturing	capture	VERB
ejpam-5928	40	13	the	the	DET
ejpam-5928	40	14	bipolarity	bipolarity	NOUN
ejpam-5928	40	15	often	often	ADV
ejpam-5928	40	16	present	present	VERB
ejpam-5928	40	17	in	in	ADP
ejpam-5928	40	18	real	real	ADJ
ejpam-5928	40	19	-	-	PUNCT
ejpam-5928	40	20	world	world	NOUN
ejpam-5928	40	21	problems	problem	NOUN
ejpam-5928	40	22	,	,	PUNCT
ejpam-5928	40	23	such	such	ADJ
ejpam-5928	40	24	as	as	ADP
ejpam-5928	40	25	preferences	preference	NOUN
ejpam-5928	40	26	,	,	PUNCT
ejpam-5928	40	27	opinions	opinion	NOUN
ejpam-5928	40	28	,	,	PUNCT
ejpam-5928	40	29	and	and	CCONJ
ejpam-5928	40	30	criteria	criterion	NOUN
ejpam-5928	40	31	that	that	PRON
ejpam-5928	40	32	involve	involve	VERB
ejpam-5928	40	33	both	both	DET
ejpam-5928	40	34	pros	pro	NOUN
ejpam-5928	40	35	and	and	CCONJ
ejpam-5928	40	36	cons	con	NOUN
ejpam-5928	40	37	.	.	PUNCT
ejpam-5928	41	1	this	this	DET
ejpam-5928	41	2	model	model	NOUN
ejpam-5928	41	3	has	have	AUX
ejpam-5928	41	4	found	find	VERB
ejpam-5928	41	5	applications	application	NOUN
ejpam-5928	41	6	in	in	ADP
ejpam-5928	41	7	various	various	ADJ
ejpam-5928	41	8	fields	field	NOUN
ejpam-5928	41	9	,	,	PUNCT
ejpam-5928	41	10	including	include	VERB
ejpam-5928	41	11	decision	decision	NOUN
ejpam-5928	41	12	analysis	analysis	NOUN
ejpam-5928	41	13	,	,	PUNCT
ejpam-5928	41	14	medical	medical	ADJ
ejpam-5928	41	15	diagnosis	diagnosis	NOUN
ejpam-5928	41	16	,	,	PUNCT
ejpam-5928	41	17	and	and	CCONJ
ejpam-5928	41	18	social	social	ADJ
ejpam-5928	41	19	sciences	science	NOUN
ejpam-5928	41	20	,	,	PUNCT
ejpam-5928	41	21	where	where	SCONJ
ejpam-5928	41	22	handling	handle	VERB
ejpam-5928	41	23	conflicting	conflicting	ADJ
ejpam-5928	41	24	or	or	CCONJ
ejpam-5928	41	25	dual	dual	ADV
ejpam-5928	41	26	-	-	PUNCT
ejpam-5928	41	27	sided	sided	ADJ
ejpam-5928	41	28	information	information	NOUN
ejpam-5928	41	29	is	be	AUX
ejpam-5928	41	30	critical	critical	ADJ
ejpam-5928	41	31	.	.	PUNCT
ejpam-5928	42	1	subsequent	subsequent	ADJ
ejpam-5928	42	2	researchers	researcher	NOUN
ejpam-5928	42	3	,	,	PUNCT
ejpam-5928	42	4	including	include	VERB
ejpam-5928	42	5	karaaslan	karaaslan	NOUN
ejpam-5928	42	6	and	and	CCONJ
ejpam-5928	42	7	karatas	karata	NOUN
ejpam-5928	42	8	[	[	X
ejpam-5928	42	9	29	29	NUM
ejpam-5928	42	10	]	]	PUNCT
ejpam-5928	42	11	,	,	PUNCT
ejpam-5928	42	12	explored	explore	VERB
ejpam-5928	42	13	operations	operation	NOUN
ejpam-5928	42	14	like	like	ADP
ejpam-5928	42	15	intersection	intersection	NOUN
ejpam-5928	42	16	,	,	PUNCT
ejpam-5928	42	17	union	union	NOUN
ejpam-5928	42	18	,	,	PUNCT
ejpam-5928	42	19	and	and	CCONJ
ejpam-5928	42	20	complementation	complementation	NOUN
ejpam-5928	42	21	within	within	ADP
ejpam-5928	42	22	bipolar	bipolar	ADJ
ejpam-5928	42	23	soft	soft	ADJ
ejpam-5928	42	24	sets	set	NOUN
ejpam-5928	42	25	,	,	PUNCT
ejpam-5928	42	26	focusing	focus	VERB
ejpam-5928	42	27	on	on	ADP
ejpam-5928	42	28	decision	decision	NOUN
ejpam-5928	42	29	-	-	PUNCT
ejpam-5928	42	30	making	make	VERB
ejpam-5928	42	31	applications	application	NOUN
ejpam-5928	42	32	.	.	PUNCT
ejpam-5928	43	1	several	several	ADJ
ejpam-5928	43	2	studies	study	NOUN
ejpam-5928	43	3	have	have	AUX
ejpam-5928	43	4	explored	explore	VERB
ejpam-5928	43	5	definitions	definition	NOUN
ejpam-5928	43	6	,	,	PUNCT
ejpam-5928	43	7	operations	operation	NOUN
ejpam-5928	43	8	,	,	PUNCT
ejpam-5928	43	9	and	and	CCONJ
ejpam-5928	43	10	applications	application	NOUN
ejpam-5928	43	11	of	of	ADP
ejpam-5928	43	12	bipolar	bipolar	ADJ
ejpam-5928	43	13	soft	soft	ADJ
ejpam-5928	43	14	sets	set	NOUN
ejpam-5928	43	15	(	(	PUNCT
ejpam-5928	43	16	see	see	VERB
ejpam-5928	43	17	[	[	X
ejpam-5928	43	18	30	30	NUM
ejpam-5928	43	19	]	]	PUNCT
ejpam-5928	43	20	,	,	PUNCT
ejpam-5928	43	21	[	[	X
ejpam-5928	43	22	31	31	NUM
ejpam-5928	43	23	]	]	PUNCT
ejpam-5928	43	24	,	,	PUNCT
ejpam-5928	43	25	[	[	X
ejpam-5928	43	26	32	32	NUM
ejpam-5928	43	27	]	]	PUNCT
ejpam-5928	43	28	)	)	PUNCT
ejpam-5928	43	29	.	.	PUNCT
ejpam-5928	44	1	bipolar	bipolar	ADJ
ejpam-5928	44	2	soft	soft	ADJ
ejpam-5928	44	3	topology	topology	NOUN
ejpam-5928	44	4	builds	build	VERB
ejpam-5928	44	5	on	on	ADP
ejpam-5928	44	6	the	the	DET
ejpam-5928	44	7	foundation	foundation	NOUN
ejpam-5928	44	8	of	of	ADP
ejpam-5928	44	9	bipolar	bipolar	ADJ
ejpam-5928	44	10	soft	soft	ADJ
ejpam-5928	44	11	set	set	NOUN
ejpam-5928	44	12	theory	theory	NOUN
ejpam-5928	44	13	,	,	PUNCT
ejpam-5928	44	14	introducing	introduce	VERB
ejpam-5928	44	15	a	a	DET
ejpam-5928	44	16	topological	topological	ADJ
ejpam-5928	44	17	framework	framework	NOUN
ejpam-5928	44	18	that	that	PRON
ejpam-5928	44	19	accommodates	accommodate	VERB
ejpam-5928	44	20	both	both	CCONJ
ejpam-5928	44	21	positive	positive	ADJ
ejpam-5928	44	22	and	and	CCONJ
ejpam-5928	44	23	negative	negative	ADJ
ejpam-5928	44	24	aspects	aspect	NOUN
ejpam-5928	44	25	of	of	ADP
ejpam-5928	44	26	a	a	DET
ejpam-5928	44	27	given	give	VERB
ejpam-5928	44	28	space	space	NOUN
ejpam-5928	44	29	.	.	PUNCT
ejpam-5928	45	1	this	this	DET
ejpam-5928	45	2	concept	concept	NOUN
ejpam-5928	45	3	allows	allow	VERB
ejpam-5928	45	4	for	for	ADP
ejpam-5928	45	5	the	the	DET
ejpam-5928	45	6	study	study	NOUN
ejpam-5928	45	7	of	of	ADP
ejpam-5928	45	8	topological	topological	ADJ
ejpam-5928	45	9	properties	property	NOUN
ejpam-5928	45	10	such	such	ADJ
ejpam-5928	45	11	as	as	ADP
ejpam-5928	45	12	continuity	continuity	NOUN
ejpam-5928	45	13	,	,	PUNCT
ejpam-5928	45	14	compactness	compactness	NOUN
ejpam-5928	45	15	,	,	PUNCT
ejpam-5928	45	16	and	and	CCONJ
ejpam-5928	45	17	separation	separation	NOUN
ejpam-5928	45	18	in	in	ADP
ejpam-5928	45	19	a	a	DET
ejpam-5928	45	20	bipolar	bipolar	ADJ
ejpam-5928	45	21	soft	soft	ADJ
ejpam-5928	45	22	set	set	NOUN
ejpam-5928	45	23	context	context	NOUN
ejpam-5928	45	24	.	.	PUNCT
ejpam-5928	46	1	by	by	ADP
ejpam-5928	46	2	extending	extend	VERB
ejpam-5928	46	3	soft	soft	ADJ
ejpam-5928	46	4	topological	topological	ADJ
ejpam-5928	46	5	spaces	space	NOUN
ejpam-5928	46	6	to	to	PART
ejpam-5928	46	7	incorporate	incorporate	VERB
ejpam-5928	46	8	bipolarity	bipolarity	NOUN
ejpam-5928	46	9	,	,	PUNCT
ejpam-5928	46	10	researchers	researcher	NOUN
ejpam-5928	46	11	have	have	AUX
ejpam-5928	46	12	created	create	VERB
ejpam-5928	46	13	a	a	DET
ejpam-5928	46	14	flexible	flexible	ADJ
ejpam-5928	46	15	tool	tool	NOUN
ejpam-5928	46	16	for	for	ADP
ejpam-5928	46	17	analyzing	analyze	VERB
ejpam-5928	46	18	spaces	space	NOUN
ejpam-5928	46	19	characterized	characterize	VERB
ejpam-5928	46	20	by	by	ADP
ejpam-5928	46	21	dual	dual	ADJ
ejpam-5928	46	22	information	information	NOUN
ejpam-5928	46	23	.	.	PUNCT
ejpam-5928	47	1	the	the	DET
ejpam-5928	47	2	development	development	NOUN
ejpam-5928	47	3	of	of	ADP
ejpam-5928	47	4	bipolar	bipolar	ADJ
ejpam-5928	47	5	soft	soft	ADJ
ejpam-5928	47	6	topological	topological	ADJ
ejpam-5928	47	7	spaces	space	NOUN
ejpam-5928	47	8	has	have	AUX
ejpam-5928	47	9	sparked	spark	VERB
ejpam-5928	47	10	further	further	ADJ
ejpam-5928	47	11	exploration	exploration	NOUN
ejpam-5928	47	12	into	into	ADP
ejpam-5928	47	13	concepts	concept	NOUN
ejpam-5928	47	14	like	like	ADP
ejpam-5928	47	15	bipolar	bipolar	ADJ
ejpam-5928	47	16	soft	soft	ADJ
ejpam-5928	47	17	open	open	ADJ
ejpam-5928	47	18	and	and	CCONJ
ejpam-5928	47	19	closed	closed	ADJ
ejpam-5928	47	20	sets	set	NOUN
ejpam-5928	47	21	,	,	PUNCT
ejpam-5928	47	22	bipolar	bipolar	ADJ
ejpam-5928	47	23	soft	soft	ADJ
ejpam-5928	47	24	continuity	continuity	NOUN
ejpam-5928	47	25	,	,	PUNCT
ejpam-5928	47	26	and	and	CCONJ
ejpam-5928	47	27	bipolar	bipolar	ADJ
ejpam-5928	47	28	soft	soft	ADJ
ejpam-5928	47	29	compactness	compactness	NOUN
ejpam-5928	47	30	.	.	PUNCT
ejpam-5928	48	1	these	these	DET
ejpam-5928	48	2	advancements	advancement	NOUN
ejpam-5928	48	3	allow	allow	VERB
ejpam-5928	48	4	for	for	ADP
ejpam-5928	48	5	a	a	DET
ejpam-5928	48	6	r.	r.	PROPN
ejpam-5928	48	7	a.	a.	PROPN
ejpam-5928	48	8	mohammed	mohammed	PROPN
ejpam-5928	48	9	/	/	SYM
ejpam-5928	48	10	eur	eur	PROPN
ejpam-5928	48	11	.	.	PUNCT
ejpam-5928	49	1	j.	j.	PROPN
ejpam-5928	49	2	pure	pure	PROPN
ejpam-5928	49	3	appl	appl	PROPN
ejpam-5928	49	4	.	.	PROPN
ejpam-5928	49	5	math	math	PROPN
ejpam-5928	49	6	,	,	PUNCT
ejpam-5928	49	7	18	18	NUM
ejpam-5928	49	8	(	(	PUNCT
ejpam-5928	49	9	2	2	NUM
ejpam-5928	49	10	)	)	PUNCT
ejpam-5928	49	11	(	(	PUNCT
ejpam-5928	49	12	2025	2025	NUM
ejpam-5928	49	13	)	)	PUNCT
ejpam-5928	49	14	,	,	PUNCT
ejpam-5928	49	15	5928	5928	NUM
ejpam-5928	49	16	3	3	NUM
ejpam-5928	49	17	of	of	ADP
ejpam-5928	49	18	26	26	NUM
ejpam-5928	49	19	more	more	ADV
ejpam-5928	49	20	nuanced	nuanced	ADJ
ejpam-5928	49	21	understanding	understanding	NOUN
ejpam-5928	49	22	of	of	ADP
ejpam-5928	49	23	topological	topological	ADJ
ejpam-5928	49	24	structures	structure	NOUN
ejpam-5928	49	25	where	where	SCONJ
ejpam-5928	49	26	both	both	DET
ejpam-5928	49	27	positive	positive	ADJ
ejpam-5928	49	28	and	and	CCONJ
ejpam-5928	49	29	negative	negative	ADJ
ejpam-5928	49	30	relationships	relationship	NOUN
ejpam-5928	49	31	between	between	ADP
ejpam-5928	49	32	elements	element	NOUN
ejpam-5928	49	33	must	must	AUX
ejpam-5928	49	34	be	be	AUX
ejpam-5928	49	35	considered	consider	VERB
ejpam-5928	49	36	.	.	PUNCT
ejpam-5928	50	1	bipolar	bipolar	ADJ
ejpam-5928	50	2	soft	soft	ADJ
ejpam-5928	50	3	topology	topology	NOUN
ejpam-5928	50	4	has	have	VERB
ejpam-5928	50	5	potential	potential	ADJ
ejpam-5928	50	6	applications	application	NOUN
ejpam-5928	50	7	in	in	ADP
ejpam-5928	50	8	optimization	optimization	NOUN
ejpam-5928	50	9	,	,	PUNCT
ejpam-5928	50	10	decision	decision	NOUN
ejpam-5928	50	11	-	-	PUNCT
ejpam-5928	50	12	making	making	NOUN
ejpam-5928	50	13	,	,	PUNCT
ejpam-5928	50	14	and	and	CCONJ
ejpam-5928	50	15	other	other	ADJ
ejpam-5928	50	16	areas	area	NOUN
ejpam-5928	50	17	where	where	SCONJ
ejpam-5928	50	18	the	the	DET
ejpam-5928	50	19	interaction	interaction	NOUN
ejpam-5928	50	20	of	of	ADP
ejpam-5928	50	21	opposing	oppose	VERB
ejpam-5928	50	22	factors	factor	NOUN
ejpam-5928	50	23	plays	play	VERB
ejpam-5928	50	24	a	a	DET
ejpam-5928	50	25	key	key	ADJ
ejpam-5928	50	26	role	role	NOUN
ejpam-5928	50	27	.	.	PUNCT
ejpam-5928	51	1	further	further	ADJ
ejpam-5928	51	2	developments	development	NOUN
ejpam-5928	51	3	have	have	AUX
ejpam-5928	51	4	expanded	expand	VERB
ejpam-5928	51	5	on	on	ADP
ejpam-5928	51	6	bipolar	bipolar	ADJ
ejpam-5928	51	7	soft	soft	ADJ
ejpam-5928	51	8	topological	topological	ADJ
ejpam-5928	51	9	spaces	space	NOUN
ejpam-5928	51	10	.	.	PUNCT
ejpam-5928	52	1	moreover	moreover	ADV
ejpam-5928	52	2	,	,	PUNCT
ejpam-5928	52	3	additional	additional	ADJ
ejpam-5928	52	4	research	research	NOUN
ejpam-5928	52	5	has	have	AUX
ejpam-5928	52	6	been	be	AUX
ejpam-5928	52	7	conducted	conduct	VERB
ejpam-5928	52	8	on	on	ADP
ejpam-5928	52	9	the	the	DET
ejpam-5928	52	10	topological	topological	ADJ
ejpam-5928	52	11	structures	structure	NOUN
ejpam-5928	52	12	of	of	ADP
ejpam-5928	52	13	bipolar	bipolar	ADJ
ejpam-5928	52	14	soft	soft	ADJ
ejpam-5928	52	15	sets	set	NOUN
ejpam-5928	52	16	,	,	PUNCT
ejpam-5928	52	17	(	(	PUNCT
ejpam-5928	52	18	see	see	VERB
ejpam-5928	52	19	[	[	X
ejpam-5928	52	20	33	33	NUM
ejpam-5928	52	21	]	]	PUNCT
ejpam-5928	52	22	,	,	PUNCT
ejpam-5928	53	1	[	[	X
ejpam-5928	53	2	34	34	NUM
ejpam-5928	53	3	]	]	PUNCT
ejpam-5928	53	4	,	,	PUNCT
ejpam-5928	53	5	[	[	X
ejpam-5928	53	6	35	35	NUM
ejpam-5928	53	7	]	]	PUNCT
ejpam-5928	53	8	,	,	PUNCT
ejpam-5928	53	9	[	[	X
ejpam-5928	53	10	36	36	NUM
ejpam-5928	53	11	]	]	PUNCT
ejpam-5928	53	12	,	,	PUNCT
ejpam-5928	54	1	[	[	X
ejpam-5928	54	2	37	37	NUM
ejpam-5928	54	3	]	]	PUNCT
ejpam-5928	54	4	,	,	PUNCT
ejpam-5928	54	5	[	[	X
ejpam-5928	54	6	38	38	NUM
ejpam-5928	54	7	]	]	PUNCT
ejpam-5928	54	8	,	,	PUNCT
ejpam-5928	54	9	[	[	X
ejpam-5928	54	10	39	39	NUM
ejpam-5928	54	11	]	]	PUNCT
ejpam-5928	54	12	,	,	PUNCT
ejpam-5928	55	1	[	[	X
ejpam-5928	55	2	40	40	NUM
ejpam-5928	55	3	]	]	PUNCT
ejpam-5928	55	4	,	,	PUNCT
ejpam-5928	56	1	[	[	X
ejpam-5928	56	2	41	41	NUM
ejpam-5928	56	3	]	]	PUNCT
ejpam-5928	56	4	)	)	PUNCT
ejpam-5928	56	5	.	.	PUNCT
ejpam-5928	57	1	furthermore	furthermore	ADV
ejpam-5928	57	2	,	,	PUNCT
ejpam-5928	57	3	öztürk	öztürk	NOUN
ejpam-5928	57	4	[	[	X
ejpam-5928	57	5	42	42	NUM
ejpam-5928	57	6	]	]	PUNCT
ejpam-5928	57	7	investigated	investigate	VERB
ejpam-5928	57	8	closure	closure	NOUN
ejpam-5928	57	9	and	and	CCONJ
ejpam-5928	57	10	interior	interior	ADJ
ejpam-5928	57	11	operations	operation	NOUN
ejpam-5928	57	12	,	,	PUNCT
ejpam-5928	57	13	as	as	ADV
ejpam-5928	57	14	well	well	ADV
ejpam-5928	57	15	as	as	ADP
ejpam-5928	57	16	concepts	concept	NOUN
ejpam-5928	57	17	like	like	ADP
ejpam-5928	57	18	basis	basis	NOUN
ejpam-5928	57	19	and	and	CCONJ
ejpam-5928	57	20	subspaces	subspace	NOUN
ejpam-5928	57	21	within	within	ADP
ejpam-5928	57	22	bipolar	bipolar	ADJ
ejpam-5928	57	23	soft	soft	ADJ
ejpam-5928	57	24	topological	topological	ADJ
ejpam-5928	57	25	spaces	space	NOUN
ejpam-5928	57	26	.	.	PUNCT
ejpam-5928	58	1	musa	musa	PROPN
ejpam-5928	58	2	and	and	CCONJ
ejpam-5928	58	3	asaad	asaad	NOUN
ejpam-5928	58	4	(	(	PUNCT
ejpam-5928	58	5	[	[	X
ejpam-5928	58	6	43	43	NUM
ejpam-5928	58	7	]	]	PUNCT
ejpam-5928	58	8	,	,	PUNCT
ejpam-5928	58	9	[	[	X
ejpam-5928	58	10	44	44	NUM
ejpam-5928	58	11	]	]	PUNCT
ejpam-5928	58	12	,	,	PUNCT
ejpam-5928	58	13	[	[	X
ejpam-5928	58	14	45	45	NUM
ejpam-5928	58	15	]	]	PUNCT
ejpam-5928	58	16	)	)	PUNCT
ejpam-5928	58	17	presented	present	VERB
ejpam-5928	58	18	a	a	DET
ejpam-5928	58	19	novel	novel	ADJ
ejpam-5928	58	20	concept	concept	NOUN
ejpam-5928	58	21	related	relate	VERB
ejpam-5928	58	22	to	to	ADP
ejpam-5928	58	23	bipolar	bipolar	ADJ
ejpam-5928	58	24	soft	soft	ADJ
ejpam-5928	58	25	sets	set	NOUN
ejpam-5928	58	26	by	by	ADP
ejpam-5928	58	27	extending	extend	VERB
ejpam-5928	58	28	the	the	DET
ejpam-5928	58	29	hypersoft	hypersoft	NOUN
ejpam-5928	58	30	sets	set	NOUN
ejpam-5928	58	31	.	.	PUNCT
ejpam-5928	59	1	additionally	additionally	ADV
ejpam-5928	59	2	,	,	PUNCT
ejpam-5928	59	3	they	they	PRON
ejpam-5928	59	4	explored	explore	VERB
ejpam-5928	59	5	bipolar	bipolar	ADJ
ejpam-5928	59	6	hypersoft	hypersoft	PROPN
ejpam-5928	59	7	topological	topological	ADJ
ejpam-5928	59	8	spaces	space	NOUN
ejpam-5928	59	9	,	,	PUNCT
ejpam-5928	59	10	examining	examine	VERB
ejpam-5928	59	11	various	various	ADJ
ejpam-5928	59	12	operations	operation	NOUN
ejpam-5928	59	13	and	and	CCONJ
ejpam-5928	59	14	properties	property	NOUN
ejpam-5928	59	15	associated	associate	VERB
ejpam-5928	59	16	with	with	ADP
ejpam-5928	59	17	them	they	PRON
ejpam-5928	59	18	.	.	PUNCT
ejpam-5928	60	1	the	the	DET
ejpam-5928	60	2	structure	structure	NOUN
ejpam-5928	60	3	of	of	ADP
ejpam-5928	60	4	the	the	DET
ejpam-5928	60	5	paper	paper	NOUN
ejpam-5928	60	6	is	be	AUX
ejpam-5928	60	7	as	as	SCONJ
ejpam-5928	60	8	follows	follow	VERB
ejpam-5928	60	9	:	:	PUNCT
ejpam-5928	60	10	section	section	NOUN
ejpam-5928	60	11	2	2	NUM
ejpam-5928	60	12	provides	provide	VERB
ejpam-5928	60	13	a	a	DET
ejpam-5928	60	14	brief	brief	ADJ
ejpam-5928	60	15	overview	overview	NOUN
ejpam-5928	60	16	of	of	ADP
ejpam-5928	60	17	some	some	DET
ejpam-5928	60	18	relevant	relevant	ADJ
ejpam-5928	60	19	preliminaries	preliminary	NOUN
ejpam-5928	60	20	.	.	PUNCT
ejpam-5928	61	1	in	in	ADP
ejpam-5928	61	2	section	section	NOUN
ejpam-5928	61	3	3	3	NUM
ejpam-5928	61	4	,	,	PUNCT
ejpam-5928	61	5	the	the	DET
ejpam-5928	61	6	new	new	ADJ
ejpam-5928	61	7	structure	structure	NOUN
ejpam-5928	61	8	of	of	ADP
ejpam-5928	61	9	bipolar	bipolar	ADJ
ejpam-5928	61	10	soft	soft	ADJ
ejpam-5928	61	11	topology	topology	NOUN
ejpam-5928	61	12	,	,	PUNCT
ejpam-5928	61	13	referred	refer	VERB
ejpam-5928	61	14	to	to	ADP
ejpam-5928	61	15	as	as	ADP
ejpam-5928	61	16	the	the	DET
ejpam-5928	61	17	bipolar	bipolar	ADJ
ejpam-5928	61	18	soft	soft	ADJ
ejpam-5928	61	19	minimal	minimal	ADJ
ejpam-5928	61	20	structure	structure	NOUN
ejpam-5928	61	21	,	,	PUNCT
ejpam-5928	61	22	is	be	AUX
ejpam-5928	61	23	introduced	introduce	VERB
ejpam-5928	61	24	.	.	PUNCT
ejpam-5928	62	1	additionally	additionally	ADV
ejpam-5928	62	2	,	,	PUNCT
ejpam-5928	62	3	important	important	ADJ
ejpam-5928	62	4	operators	operator	NOUN
ejpam-5928	62	5	in	in	ADP
ejpam-5928	62	6	bipolar	bipolar	ADJ
ejpam-5928	62	7	soft	soft	ADJ
ejpam-5928	62	8	minimal	minimal	ADJ
ejpam-5928	62	9	spaces	space	NOUN
ejpam-5928	62	10	,	,	PUNCT
ejpam-5928	62	11	such	such	ADJ
ejpam-5928	62	12	as	as	ADP
ejpam-5928	62	13	the	the	DET
ejpam-5928	62	14	˜̃m	˜̃m	ADJ
ejpam-5928	62	15	-	-	PUNCT
ejpam-5928	62	16	interior	interior	ADJ
ejpam-5928	62	17	,	,	PUNCT
ejpam-5928	62	18	˜̃m	˜̃m	NOUN
ejpam-5928	62	19	-	-	PUNCT
ejpam-5928	62	20	closure	closure	NOUN
ejpam-5928	62	21	,	,	PUNCT
ejpam-5928	62	22	and	and	CCONJ
ejpam-5928	62	23	˜̃m	˜̃m	ADJ
ejpam-5928	62	24	-	-	PUNCT
ejpam-5928	62	25	boundary	boundary	NOUN
ejpam-5928	62	26	,	,	PUNCT
ejpam-5928	62	27	are	be	AUX
ejpam-5928	62	28	explored	explore	VERB
ejpam-5928	62	29	.	.	PUNCT
ejpam-5928	63	1	section	section	NOUN
ejpam-5928	63	2	4	4	NUM
ejpam-5928	63	3	presents	present	VERB
ejpam-5928	63	4	the	the	DET
ejpam-5928	63	5	concepts	concept	NOUN
ejpam-5928	63	6	of	of	ADP
ejpam-5928	63	7	˜̃m	˜̃m	ADV
ejpam-5928	63	8	-	-	PUNCT
ejpam-5928	63	9	separated	separate	VERB
ejpam-5928	63	10	bipolar	bipolar	ADJ
ejpam-5928	63	11	soft	soft	ADJ
ejpam-5928	63	12	sets	set	NOUN
ejpam-5928	63	13	and	and	CCONJ
ejpam-5928	63	14	bipolar	bipolar	ADJ
ejpam-5928	63	15	soft˜̃m	soft˜̃m	ADV
ejpam-5928	63	16	-	-	PUNCT
ejpam-5928	63	17	connected	connect	VERB
ejpam-5928	63	18	sets	set	NOUN
ejpam-5928	63	19	,	,	PUNCT
ejpam-5928	63	20	along	along	ADP
ejpam-5928	63	21	with	with	ADP
ejpam-5928	63	22	their	their	PRON
ejpam-5928	63	23	key	key	ADJ
ejpam-5928	63	24	properties	property	NOUN
ejpam-5928	63	25	.	.	PUNCT
ejpam-5928	64	1	in	in	ADP
ejpam-5928	64	2	section	section	NOUN
ejpam-5928	64	3	5	5	NUM
ejpam-5928	64	4	,	,	PUNCT
ejpam-5928	64	5	a	a	DET
ejpam-5928	64	6	new	new	ADJ
ejpam-5928	64	7	concept	concept	NOUN
ejpam-5928	64	8	of	of	ADP
ejpam-5928	64	9	bipolar	bipolar	ADJ
ejpam-5928	64	10	soft	soft	ADJ
ejpam-5928	64	11	minimal	minimal	ADJ
ejpam-5928	64	12	spaces	space	NOUN
ejpam-5928	64	13	called	call	VERB
ejpam-5928	64	14	bipolar	bipolar	ADJ
ejpam-5928	64	15	soft	soft	ADJ
ejpam-5928	64	16	minimal	minimal	ADJ
ejpam-5928	64	17	connected	connected	ADJ
ejpam-5928	64	18	spaces	space	NOUN
ejpam-5928	64	19	is	be	AUX
ejpam-5928	64	20	defined	define	VERB
ejpam-5928	64	21	.	.	PUNCT
ejpam-5928	65	1	it	it	PRON
ejpam-5928	65	2	is	be	AUX
ejpam-5928	65	3	also	also	ADV
ejpam-5928	65	4	proven	prove	VERB
ejpam-5928	65	5	that	that	SCONJ
ejpam-5928	65	6	the	the	DET
ejpam-5928	65	7	intersection	intersection	NOUN
ejpam-5928	65	8	of	of	ADP
ejpam-5928	65	9	a	a	DET
ejpam-5928	65	10	pair	pair	NOUN
ejpam-5928	65	11	of	of	ADP
ejpam-5928	65	12	bipolar	bipolar	ADJ
ejpam-5928	65	13	soft	soft	ADJ
ejpam-5928	65	14	˜̃m	˜̃m	ADV
ejpam-5928	65	15	-	-	PUNCT
ejpam-5928	65	16	connected	connect	VERB
ejpam-5928	65	17	spaces	space	NOUN
ejpam-5928	65	18	over	over	ADP
ejpam-5928	65	19	the	the	DET
ejpam-5928	65	20	common	common	ADJ
ejpam-5928	65	21	universal	universal	ADJ
ejpam-5928	65	22	set	set	NOUN
ejpam-5928	65	23	results	result	VERB
ejpam-5928	65	24	bipolar	bipolar	ADJ
ejpam-5928	65	25	soft	soft	ADJ
ejpam-5928	65	26	˜̃m	˜̃m	ADV
ejpam-5928	65	27	-	-	PUNCT
ejpam-5928	65	28	connected	connect	VERB
ejpam-5928	65	29	.	.	PUNCT
ejpam-5928	66	1	furthermore	furthermore	ADV
ejpam-5928	66	2	,	,	PUNCT
ejpam-5928	66	3	it	it	PRON
ejpam-5928	66	4	is	be	AUX
ejpam-5928	66	5	shown	show	VERB
ejpam-5928	66	6	that	that	SCONJ
ejpam-5928	66	7	a	a	DET
ejpam-5928	66	8	bipolar	bipolar	ADJ
ejpam-5928	66	9	soft˜̃m	soft˜̃m	ADV
ejpam-5928	66	10	-	-	PUNCT
ejpam-5928	66	11	connected	connect	VERB
ejpam-5928	66	12	space	space	NOUN
ejpam-5928	66	13	does	do	AUX
ejpam-5928	66	14	not	not	PART
ejpam-5928	66	15	possess	possess	VERB
ejpam-5928	66	16	the	the	DET
ejpam-5928	66	17	˜̃m	˜̃m	ADJ
ejpam-5928	66	18	-	-	PUNCT
ejpam-5928	66	19	hereditary	hereditary	ADJ
ejpam-5928	66	20	property	property	NOUN
ejpam-5928	66	21	.	.	PUNCT
ejpam-5928	67	1	finally	finally	ADV
ejpam-5928	67	2	,	,	PUNCT
ejpam-5928	67	3	section	section	NOUN
ejpam-5928	67	4	5	5	NUM
ejpam-5928	67	5	discusses	discuss	VERB
ejpam-5928	67	6	various	various	ADJ
ejpam-5928	67	7	relations	relation	NOUN
ejpam-5928	67	8	,	,	PUNCT
ejpam-5928	67	9	properties	property	NOUN
ejpam-5928	67	10	,	,	PUNCT
ejpam-5928	67	11	and	and	CCONJ
ejpam-5928	67	12	examples	example	NOUN
ejpam-5928	67	13	of	of	ADP
ejpam-5928	67	14	these	these	DET
ejpam-5928	67	15	new	new	ADJ
ejpam-5928	67	16	concepts	concept	NOUN
ejpam-5928	67	17	of	of	ADP
ejpam-5928	67	18	bipolar	bipolar	ADJ
ejpam-5928	67	19	soft	soft	ADJ
ejpam-5928	67	20	minimal	minimal	ADJ
ejpam-5928	67	21	spaces	space	NOUN
ejpam-5928	67	22	and	and	CCONJ
ejpam-5928	67	23	concludes	conclude	VERB
ejpam-5928	67	24	the	the	DET
ejpam-5928	67	25	paper	paper	NOUN
ejpam-5928	67	26	.	.	PUNCT
ejpam-5928	68	1	2	2	X
ejpam-5928	68	2	.	.	X
ejpam-5928	68	3	preliminaries	preliminary	NOUN
ejpam-5928	68	4	throughout	throughout	ADP
ejpam-5928	68	5	this	this	DET
ejpam-5928	68	6	paper	paper	NOUN
ejpam-5928	68	7	,	,	PUNCT
ejpam-5928	68	8	let	let	VERB
ejpam-5928	68	9	π	π	NOUN
ejpam-5928	68	10	be	be	AUX
ejpam-5928	68	11	an	an	DET
ejpam-5928	68	12	initial	initial	ADJ
ejpam-5928	68	13	universe	universe	NOUN
ejpam-5928	68	14	and	and	CCONJ
ejpam-5928	68	15	σ(π	σ(π	NOUN
ejpam-5928	68	16	)	)	PUNCT
ejpam-5928	68	17	be	be	VERB
ejpam-5928	68	18	the	the	DET
ejpam-5928	68	19	class	class	NOUN
ejpam-5928	68	20	of	of	ADP
ejpam-5928	68	21	all	all	DET
ejpam-5928	68	22	subsets	subset	NOUN
ejpam-5928	68	23	of	of	ADP
ejpam-5928	68	24	π	π	PROPN
ejpam-5928	68	25	.	.	PUNCT
ejpam-5928	69	1	let	let	VERB
ejpam-5928	69	2	a	a	DET
ejpam-5928	69	3	nonempty	nonempty	ADV
ejpam-5928	69	4	set	set	VERB
ejpam-5928	69	5	γ	γ	NOUN
ejpam-5928	69	6	be	be	AUX
ejpam-5928	69	7	an	an	DET
ejpam-5928	69	8	entire	entire	ADJ
ejpam-5928	69	9	set	set	NOUN
ejpam-5928	69	10	of	of	ADP
ejpam-5928	69	11	parameters	parameter	NOUN
ejpam-5928	69	12	and	and	CCONJ
ejpam-5928	69	13	let	let	VERB
ejpam-5928	69	14	µ	µ	NUM
ejpam-5928	69	15	,	,	PUNCT
ejpam-5928	69	16	ν	ν	NOUN
ejpam-5928	69	17	⊆	⊆	NUM
ejpam-5928	69	18	γ	γ	X
ejpam-5928	69	19	.	.	PUNCT
ejpam-5928	70	1	this	this	DET
ejpam-5928	70	2	section	section	NOUN
ejpam-5928	70	3	introduces	introduce	VERB
ejpam-5928	70	4	some	some	DET
ejpam-5928	70	5	main	main	ADJ
ejpam-5928	70	6	notions	notion	NOUN
ejpam-5928	70	7	and	and	CCONJ
ejpam-5928	70	8	definitions	definition	NOUN
ejpam-5928	70	9	on	on	ADP
ejpam-5928	70	10	bipolar	bipolar	ADJ
ejpam-5928	70	11	soft	soft	ADJ
ejpam-5928	70	12	sets	set	NOUN
ejpam-5928	70	13	.	.	PUNCT
ejpam-5928	71	1	definition	definition	NOUN
ejpam-5928	71	2	1	1	NUM
ejpam-5928	71	3	.	.	PUNCT
ejpam-5928	72	1	[	[	X
ejpam-5928	72	2	2	2	X
ejpam-5928	72	3	]	]	PUNCT
ejpam-5928	72	4	let	let	AUX
ejpam-5928	72	5	be	be	AUX
ejpam-5928	72	6	a	a	DET
ejpam-5928	72	7	set	set	NOUN
ejpam-5928	72	8	of	of	ADP
ejpam-5928	72	9	parameters	parameter	NOUN
ejpam-5928	72	10	.	.	PUNCT
ejpam-5928	73	1	the	the	DET
ejpam-5928	73	2	not	not	PART
ejpam-5928	73	3	set	set	NOUN
ejpam-5928	73	4	of	of	ADP
ejpam-5928	73	5	the	the	DET
ejpam-5928	73	6	set	set	NOUN
ejpam-5928	73	7	µ	µ	X
ejpam-5928	73	8	=	=	SYM
ejpam-5928	73	9	{	{	PUNCT
ejpam-5928	73	10	ϑ1	ϑ1	NOUN
ejpam-5928	73	11	,	,	PUNCT
ejpam-5928	73	12	ϑ2	ϑ2	PROPN
ejpam-5928	73	13	,	,	PUNCT
ejpam-5928	73	14	...	...	PUNCT
ejpam-5928	73	15	,	,	PUNCT
ejpam-5928	73	16	ϑn	ϑn	NOUN
ejpam-5928	73	17	}	}	PUNCT
ejpam-5928	73	18	is	be	AUX
ejpam-5928	73	19	denoted	denote	VERB
ejpam-5928	73	20	by	by	ADP
ejpam-5928	73	21	µ	µ	PROPN
ejpam-5928	73	22	=	=	SYM
ejpam-5928	73	23	{	{	PUNCT
ejpam-5928	73	24	¬ϑ1,¬ϑ2	¬ϑ1,¬ϑ2	PROPN
ejpam-5928	73	25	,	,	PUNCT
ejpam-5928	73	26	...	...	PUNCT
ejpam-5928	73	27	,	,	PUNCT
ejpam-5928	73	28	¬ϑn	¬ϑn	ADJ
ejpam-5928	73	29	}	}	PUNCT
ejpam-5928	73	30	for	for	ADP
ejpam-5928	73	31	all	all	DET
ejpam-5928	73	32	i.	i.	NOUN
ejpam-5928	73	33	that	that	PRON
ejpam-5928	73	34	is	be	AUX
ejpam-5928	73	35	,	,	PUNCT
ejpam-5928	73	36	¬ϑi	¬ϑi	VERB
ejpam-5928	73	37	=	=	SYM
ejpam-5928	73	38	not	not	PART
ejpam-5928	73	39	ϑi	ϑi	PROPN
ejpam-5928	73	40	.	.	PUNCT
ejpam-5928	74	1	definition	definition	NOUN
ejpam-5928	74	2	2	2	NUM
ejpam-5928	74	3	.	.	PUNCT
ejpam-5928	75	1	[	[	X
ejpam-5928	75	2	28	28	NUM
ejpam-5928	75	3	]	]	X
ejpam-5928	75	4	a	a	DET
ejpam-5928	75	5	3	3	NUM
ejpam-5928	75	6	-	-	PUNCT
ejpam-5928	75	7	tuple	tuple	NOUN
ejpam-5928	75	8	(	(	PUNCT
ejpam-5928	75	9	λ̈	λ̈	PROPN
ejpam-5928	75	10	,	,	PUNCT
ejpam-5928	75	11	ζ̈	ζ̈	PROPN
ejpam-5928	75	12	,	,	PUNCT
ejpam-5928	75	13	µ	µ	NOUN
ejpam-5928	75	14	)	)	PUNCT
ejpam-5928	75	15	is	be	AUX
ejpam-5928	75	16	named	name	VERB
ejpam-5928	75	17	a	a	DET
ejpam-5928	75	18	bipolar	bipolar	ADJ
ejpam-5928	75	19	soft	soft	ADJ
ejpam-5928	75	20	(	(	PUNCT
ejpam-5928	75	21	bs	bs	NOUN
ejpam-5928	75	22	)	)	PUNCT
ejpam-5928	75	23	set	set	NOUN
ejpam-5928	75	24	on	on	ADP
ejpam-5928	75	25	π	π	PROPN
ejpam-5928	75	26	,	,	PUNCT
ejpam-5928	75	27	where	where	SCONJ
ejpam-5928	75	28	λ̈	λ̈	ADJ
ejpam-5928	75	29	:	:	PUNCT
ejpam-5928	75	30	µ	µ	PRON
ejpam-5928	75	31	−→	−→	NOUN
ejpam-5928	75	32	σ(π	σ(π	PROPN
ejpam-5928	75	33	)	)	PUNCT
ejpam-5928	75	34	is	be	AUX
ejpam-5928	75	35	a	a	DET
ejpam-5928	75	36	mapping	mapping	NOUN
ejpam-5928	75	37	and	and	CCONJ
ejpam-5928	75	38	ζ̈	ζ̈	PRON
ejpam-5928	75	39	:	:	PUNCT
ejpam-5928	75	40	µ	µ	NUM
ejpam-5928	75	41	−→	−→	NOUN
ejpam-5928	75	42	σ(π	σ(π	PROPN
ejpam-5928	75	43	)	)	PUNCT
ejpam-5928	75	44	is	be	AUX
ejpam-5928	75	45	a	a	DET
ejpam-5928	75	46	mapping	mapping	NOUN
ejpam-5928	75	47	s.	s.	PROPN
ejpam-5928	75	48	t.	t.	PROPN
ejpam-5928	75	49	λ̈(ϑ	λ̈(ϑ	PROPN
ejpam-5928	75	50	)	)	PUNCT
ejpam-5928	75	51	∩	∩	NOUN
ejpam-5928	75	52	ζ̈(¬ϑ	ζ̈(¬ϑ	ADJ
ejpam-5928	75	53	)	)	PUNCT
ejpam-5928	75	54	=	=	SYM
ejpam-5928	75	55	ϕ	ϕ	PROPN
ejpam-5928	75	56	for	for	ADP
ejpam-5928	75	57	each	each	DET
ejpam-5928	75	58	ϑ	ϑ	PRON
ejpam-5928	75	59	∈	∈	PROPN
ejpam-5928	75	60	µ	µ	X
ejpam-5928	75	61	and	and	CCONJ
ejpam-5928	75	62	¬ϑ	¬ϑ	PROPN
ejpam-5928	75	63	∈	∈	PROPN
ejpam-5928	75	64	µ.	µ.	VERB
ejpam-5928	75	65	that	that	PRON
ejpam-5928	75	66	means	mean	VERB
ejpam-5928	75	67	,	,	PUNCT
ejpam-5928	75	68	a	a	DET
ejpam-5928	75	69	form	form	NOUN
ejpam-5928	75	70	of	of	ADP
ejpam-5928	75	71	a	a	DET
ejpam-5928	75	72	bs	bs	NOUN
ejpam-5928	75	73	set	set	NOUN
ejpam-5928	75	74	(	(	PUNCT
ejpam-5928	75	75	λ̈	λ̈	PROPN
ejpam-5928	75	76	,	,	PUNCT
ejpam-5928	75	77	ζ̈	ζ̈	PROPN
ejpam-5928	75	78	,	,	PUNCT
ejpam-5928	75	79	µ	µ	NOUN
ejpam-5928	75	80	)	)	PUNCT
ejpam-5928	75	81	is	be	AUX
ejpam-5928	75	82	:	:	PUNCT
ejpam-5928	75	83	(	(	PUNCT
ejpam-5928	75	84	λ̈	λ̈	ADJ
ejpam-5928	75	85	,	,	PUNCT
ejpam-5928	75	86	ζ̈	ζ̈	PROPN
ejpam-5928	75	87	,	,	PUNCT
ejpam-5928	75	88	µ	µ	NOUN
ejpam-5928	75	89	)	)	PUNCT
ejpam-5928	75	90	=	=	PRON
ejpam-5928	75	91	{	{	PUNCT
ejpam-5928	75	92	(	(	PUNCT
ejpam-5928	75	93	ϑ	ϑ	X
ejpam-5928	75	94	,	,	PUNCT
ejpam-5928	75	95	λ̈(ϑ	λ̈(ϑ	ADJ
ejpam-5928	75	96	)	)	PUNCT
ejpam-5928	75	97	,	,	PUNCT
ejpam-5928	75	98	ζ̈(¬ϑ	ζ̈(¬ϑ	ADJ
ejpam-5928	75	99	)	)	PUNCT
ejpam-5928	75	100	)	)	PUNCT
ejpam-5928	75	101	:	:	PUNCT
ejpam-5928	76	1	ϑ	ϑ	X
ejpam-5928	76	2	∈	∈	PROPN
ejpam-5928	76	3	µ	µ	X
ejpam-5928	76	4	,	,	PUNCT
ejpam-5928	76	5	λ̈(ϑ	λ̈(ϑ	NUM
ejpam-5928	76	6	)	)	PUNCT
ejpam-5928	76	7	∩	∩	NOUN
ejpam-5928	76	8	ζ̈(¬ϑ	ζ̈(¬ϑ	ADJ
ejpam-5928	76	9	)	)	PUNCT
ejpam-5928	76	10	=	=	SYM
ejpam-5928	76	11	ϕ	ϕ	NOUN
ejpam-5928	76	12	}	}	PUNCT
ejpam-5928	76	13	.	.	PUNCT
ejpam-5928	77	1	the	the	DET
ejpam-5928	77	2	class	class	NOUN
ejpam-5928	77	3	of	of	ADP
ejpam-5928	77	4	all	all	DET
ejpam-5928	77	5	bipolar	bipolar	ADJ
ejpam-5928	77	6	soft	soft	ADJ
ejpam-5928	77	7	sets	set	NOUN
ejpam-5928	77	8	over	over	ADP
ejpam-5928	77	9	π	π	PROPN
ejpam-5928	77	10	along	along	ADP
ejpam-5928	77	11	with	with	ADP
ejpam-5928	77	12	γ	γ	PROPN
ejpam-5928	77	13	is	be	AUX
ejpam-5928	77	14	denoted	denote	VERB
ejpam-5928	77	15	by	by	ADP
ejpam-5928	77	16	bss(π	bss(π	NOUN
ejpam-5928	77	17	)	)	PUNCT
ejpam-5928	77	18	.	.	PUNCT
ejpam-5928	78	1	definition	definition	NOUN
ejpam-5928	78	2	3	3	NUM
ejpam-5928	78	3	.	.	PUNCT
ejpam-5928	79	1	[	[	X
ejpam-5928	79	2	28	28	NUM
ejpam-5928	79	3	]	]	X
ejpam-5928	79	4	a	a	DET
ejpam-5928	79	5	null	null	ADJ
ejpam-5928	79	6	bs	bs	NOUN
ejpam-5928	79	7	set	set	NOUN
ejpam-5928	79	8	(	(	PUNCT
ejpam-5928	79	9	φ	φ	PROPN
ejpam-5928	79	10	,	,	PUNCT
ejpam-5928	79	11	˜̃	˜̃	NOUN
ejpam-5928	79	12	π	π	PROPN
ejpam-5928	79	13	,	,	PUNCT
ejpam-5928	79	14	µ	µ	NOUN
ejpam-5928	79	15	)	)	PUNCT
ejpam-5928	79	16	is	be	AUX
ejpam-5928	79	17	a	a	DET
ejpam-5928	79	18	bs	bs	NOUN
ejpam-5928	79	19	set	set	NOUN
ejpam-5928	79	20	(	(	PUNCT
ejpam-5928	79	21	λ̈	λ̈	PROPN
ejpam-5928	79	22	,	,	PUNCT
ejpam-5928	79	23	ζ̈	ζ̈	PROPN
ejpam-5928	79	24	,	,	PUNCT
ejpam-5928	79	25	µ	µ	NOUN
ejpam-5928	79	26	)	)	PUNCT
ejpam-5928	79	27	if	if	SCONJ
ejpam-5928	79	28	λ̈(ϑ	λ̈(ϑ	PROPN
ejpam-5928	79	29	)	)	PUNCT
ejpam-5928	79	30	=	=	SYM
ejpam-5928	79	31	ϕ	ϕ	PROPN
ejpam-5928	79	32	for	for	ADP
ejpam-5928	79	33	each	each	DET
ejpam-5928	79	34	ϑ	ϑ	X
ejpam-5928	79	35	∈	∈	PROPN
ejpam-5928	79	36	µ	µ	X
ejpam-5928	79	37	and	and	CCONJ
ejpam-5928	79	38	ζ̈(¬ϑ	ζ̈(¬ϑ	ADJ
ejpam-5928	79	39	)	)	PUNCT
ejpam-5928	79	40	=	=	SYM
ejpam-5928	80	1	π	π	PROPN
ejpam-5928	80	2	for	for	ADP
ejpam-5928	80	3	each	each	DET
ejpam-5928	80	4	¬ϑ	¬ϑ	PROPN
ejpam-5928	80	5	∈	∈	PROPN
ejpam-5928	80	6	µ.	µ.	VERB
ejpam-5928	80	7	r.	r.	PROPN
ejpam-5928	80	8	a.	a.	PROPN
ejpam-5928	80	9	mohammed	mohammed	PROPN
ejpam-5928	80	10	/	/	SYM
ejpam-5928	80	11	eur	eur	PROPN
ejpam-5928	80	12	.	.	PUNCT
ejpam-5928	81	1	j.	j.	PROPN
ejpam-5928	81	2	pure	pure	PROPN
ejpam-5928	81	3	appl	appl	PROPN
ejpam-5928	81	4	.	.	PROPN
ejpam-5928	81	5	math	math	PROPN
ejpam-5928	81	6	,	,	PUNCT
ejpam-5928	81	7	18	18	NUM
ejpam-5928	81	8	(	(	PUNCT
ejpam-5928	81	9	2	2	NUM
ejpam-5928	81	10	)	)	PUNCT
ejpam-5928	81	11	(	(	PUNCT
ejpam-5928	81	12	2025	2025	NUM
ejpam-5928	81	13	)	)	PUNCT
ejpam-5928	81	14	,	,	PUNCT
ejpam-5928	81	15	5928	5928	NUM
ejpam-5928	81	16	4	4	NUM
ejpam-5928	81	17	of	of	ADP
ejpam-5928	81	18	26	26	NUM
ejpam-5928	81	19	definition	definition	NOUN
ejpam-5928	81	20	4	4	NUM
ejpam-5928	81	21	.	.	PUNCT
ejpam-5928	82	1	[	[	X
ejpam-5928	82	2	28	28	NUM
ejpam-5928	82	3	]	]	X
ejpam-5928	82	4	a	a	DET
ejpam-5928	82	5	absolute	absolute	ADJ
ejpam-5928	82	6	bs	bs	NOUN
ejpam-5928	82	7	set	set	NOUN
ejpam-5928	82	8	(	(	PUNCT
ejpam-5928	82	9	˜̃	˜̃	NOUN
ejpam-5928	82	10	π	π	PROPN
ejpam-5928	82	11	,	,	PUNCT
ejpam-5928	82	12	φ	φ	PROPN
ejpam-5928	82	13	,	,	PUNCT
ejpam-5928	82	14	µ	µ	NOUN
ejpam-5928	82	15	)	)	PUNCT
ejpam-5928	82	16	is	be	AUX
ejpam-5928	82	17	a	a	DET
ejpam-5928	82	18	bs	bs	NOUN
ejpam-5928	82	19	set	set	NOUN
ejpam-5928	82	20	(	(	PUNCT
ejpam-5928	82	21	λ̈	λ̈	PROPN
ejpam-5928	82	22	,	,	PUNCT
ejpam-5928	82	23	ζ̈	ζ̈	PROPN
ejpam-5928	82	24	,	,	PUNCT
ejpam-5928	82	25	µ	µ	NOUN
ejpam-5928	82	26	)	)	PUNCT
ejpam-5928	82	27	if	if	SCONJ
ejpam-5928	82	28	λ̈(ϑ	λ̈(ϑ	PROPN
ejpam-5928	82	29	)	)	PUNCT
ejpam-5928	82	30	=	=	PUNCT
ejpam-5928	83	1	π	π	PROPN
ejpam-5928	83	2	for	for	ADP
ejpam-5928	83	3	all	all	DET
ejpam-5928	83	4	ϑ	ϑ	PRON
ejpam-5928	83	5	∈	∈	ADJ
ejpam-5928	83	6	µ	µ	X
ejpam-5928	83	7	and	and	CCONJ
ejpam-5928	83	8	ζ̈(¬ϑ	ζ̈(¬ϑ	ADJ
ejpam-5928	83	9	)	)	PUNCT
ejpam-5928	83	10	=	=	SYM
ejpam-5928	83	11	ϕ	ϕ	PROPN
ejpam-5928	83	12	for	for	ADP
ejpam-5928	83	13	all	all	DET
ejpam-5928	83	14	¬ϑ	¬ϑ	PROPN
ejpam-5928	83	15	∈	∈	PROPN
ejpam-5928	83	16	µ.	µ.	VERB
ejpam-5928	83	17	definition	definition	NOUN
ejpam-5928	83	18	5	5	NUM
ejpam-5928	83	19	.	.	PUNCT
ejpam-5928	84	1	[	[	X
ejpam-5928	84	2	28	28	NUM
ejpam-5928	84	3	]	]	AUX
ejpam-5928	84	4	given	give	VERB
ejpam-5928	84	5	two	two	NUM
ejpam-5928	84	6	bs	bs	NOUN
ejpam-5928	84	7	sets	set	NOUN
ejpam-5928	84	8	(	(	PUNCT
ejpam-5928	84	9	λ̈1	λ̈1	ADJ
ejpam-5928	84	10	,	,	PUNCT
ejpam-5928	84	11	ζ̈1	ζ̈1	ADJ
ejpam-5928	84	12	,	,	PUNCT
ejpam-5928	84	13	µ	µ	NOUN
ejpam-5928	84	14	)	)	PUNCT
ejpam-5928	84	15	and	and	CCONJ
ejpam-5928	84	16	(	(	PUNCT
ejpam-5928	84	17	λ̈2	λ̈2	NOUN
ejpam-5928	84	18	,	,	PUNCT
ejpam-5928	84	19	ζ̈2	ζ̈2	VERB
ejpam-5928	84	20	,	,	PUNCT
ejpam-5928	84	21	ν	ν	NOUN
ejpam-5928	84	22	)	)	PUNCT
ejpam-5928	84	23	.	.	PUNCT
ejpam-5928	85	1	then	then	ADV
ejpam-5928	85	2	(	(	PUNCT
ejpam-5928	85	3	λ̈1	λ̈1	PROPN
ejpam-5928	85	4	,	,	PUNCT
ejpam-5928	85	5	ζ̈1	ζ̈1	ADJ
ejpam-5928	85	6	,	,	PUNCT
ejpam-5928	85	7	µ	µ	NOUN
ejpam-5928	85	8	)	)	PUNCT
ejpam-5928	85	9	is	be	AUX
ejpam-5928	85	10	a	a	DET
ejpam-5928	85	11	bs	bs	NOUN
ejpam-5928	85	12	subset	subset	NOUN
ejpam-5928	85	13	of	of	ADP
ejpam-5928	85	14	(	(	PUNCT
ejpam-5928	85	15	λ̈2	λ̈2	NOUN
ejpam-5928	85	16	,	,	PUNCT
ejpam-5928	85	17	ζ̈2	ζ̈2	VERB
ejpam-5928	85	18	,	,	PUNCT
ejpam-5928	85	19	ν	ν	NOUN
ejpam-5928	85	20	)	)	PUNCT
ejpam-5928	85	21	,	,	PUNCT
ejpam-5928	85	22	written	write	VERB
ejpam-5928	85	23	as	as	ADP
ejpam-5928	85	24	(	(	PUNCT
ejpam-5928	85	25	λ̈1	λ̈1	PROPN
ejpam-5928	85	26	,	,	PUNCT
ejpam-5928	85	27	ζ̈1	ζ̈1	ADJ
ejpam-5928	85	28	,	,	PUNCT
ejpam-5928	85	29	µ	µ	NOUN
ejpam-5928	85	30	)	)	PUNCT
ejpam-5928	85	31	˜̃⊆(λ̈2	˜̃⊆(λ̈2	NOUN
ejpam-5928	85	32	,	,	PUNCT
ejpam-5928	85	33	ζ̈2	ζ̈2	VERB
ejpam-5928	85	34	,	,	PUNCT
ejpam-5928	85	35	µ	µ	NOUN
ejpam-5928	85	36	)	)	PUNCT
ejpam-5928	85	37	,	,	PUNCT
ejpam-5928	85	38	if	if	SCONJ
ejpam-5928	85	39	:	:	PUNCT
ejpam-5928	85	40	(	(	PUNCT
ejpam-5928	85	41	i	i	NOUN
ejpam-5928	85	42	)	)	PUNCT
ejpam-5928	85	43	µ	µ	PROPN
ejpam-5928	85	44	⊆	⊆	NUM
ejpam-5928	85	45	ν	ν	NOUN
ejpam-5928	85	46	and	and	CCONJ
ejpam-5928	85	47	,	,	PUNCT
ejpam-5928	85	48	(	(	PUNCT
ejpam-5928	85	49	ii	ii	NOUN
ejpam-5928	85	50	)	)	PUNCT
ejpam-5928	85	51	λ̈1(ϑ	λ̈1(ϑ	NOUN
ejpam-5928	85	52	)	)	PUNCT
ejpam-5928	85	53	⊆	⊆	NUM
ejpam-5928	85	54	λ̈2(ϑ	λ̈2(ϑ	NOUN
ejpam-5928	85	55	)	)	PUNCT
ejpam-5928	85	56	and	and	CCONJ
ejpam-5928	85	57	ζ̈2(¬ϑ	ζ̈2(¬ϑ	NOUN
ejpam-5928	85	58	)	)	PUNCT
ejpam-5928	85	59	⊆	⊆	NUM
ejpam-5928	85	60	ζ̈1(¬ϑ	ζ̈1(¬ϑ	NOUN
ejpam-5928	85	61	)	)	PUNCT
ejpam-5928	85	62	for	for	SCONJ
ejpam-5928	85	63	all	all	DET
ejpam-5928	85	64	ϑ	ϑ	PRON
ejpam-5928	85	65	∈	∈	PROPN
ejpam-5928	85	66	µ	µ	X
ejpam-5928	85	67	and	and	CCONJ
ejpam-5928	85	68	¬ϑ	¬ϑ	PROPN
ejpam-5928	85	69	∈	∈	PROPN
ejpam-5928	85	70	µ.	µ.	VERB
ejpam-5928	85	71	definition	definition	NOUN
ejpam-5928	85	72	6	6	NUM
ejpam-5928	85	73	.	.	PUNCT
ejpam-5928	86	1	[	[	X
ejpam-5928	86	2	28	28	NUM
ejpam-5928	86	3	]	]	SYM
ejpam-5928	86	4	two	two	NUM
ejpam-5928	86	5	bs	bs	NOUN
ejpam-5928	86	6	sets	set	NOUN
ejpam-5928	86	7	(	(	PUNCT
ejpam-5928	86	8	λ̈1	λ̈1	ADJ
ejpam-5928	86	9	,	,	PUNCT
ejpam-5928	86	10	ζ̈1	ζ̈1	ADJ
ejpam-5928	86	11	,	,	PUNCT
ejpam-5928	86	12	µ	µ	NOUN
ejpam-5928	86	13	)	)	PUNCT
ejpam-5928	86	14	and	and	CCONJ
ejpam-5928	86	15	(	(	PUNCT
ejpam-5928	86	16	λ̈2	λ̈2	NOUN
ejpam-5928	86	17	,	,	PUNCT
ejpam-5928	86	18	ζ̈2	ζ̈2	VERB
ejpam-5928	86	19	,	,	PUNCT
ejpam-5928	86	20	ν	ν	X
ejpam-5928	86	21	)	)	PUNCT
ejpam-5928	86	22	are	be	AUX
ejpam-5928	86	23	said	say	VERB
ejpam-5928	86	24	to	to	PART
ejpam-5928	86	25	be	be	AUX
ejpam-5928	86	26	equal	equal	ADJ
ejpam-5928	86	27	,	,	PUNCT
ejpam-5928	86	28	written	write	VERB
ejpam-5928	86	29	as	as	ADP
ejpam-5928	86	30	(	(	PUNCT
ejpam-5928	86	31	λ̈1	λ̈1	PROPN
ejpam-5928	86	32	,	,	PUNCT
ejpam-5928	86	33	ζ̈1	ζ̈1	ADJ
ejpam-5928	86	34	,	,	PUNCT
ejpam-5928	86	35	µ	µ	NOUN
ejpam-5928	86	36	)	)	PUNCT
ejpam-5928	86	37	=	=	SYM
ejpam-5928	86	38	(	(	PUNCT
ejpam-5928	86	39	λ̈2	λ̈2	NOUN
ejpam-5928	86	40	,	,	PUNCT
ejpam-5928	86	41	ζ̈2	ζ̈2	VERB
ejpam-5928	86	42	,	,	PUNCT
ejpam-5928	86	43	ν	ν	NOUN
ejpam-5928	86	44	)	)	PUNCT
ejpam-5928	86	45	if	if	SCONJ
ejpam-5928	86	46	(	(	PUNCT
ejpam-5928	86	47	λ̈1	λ̈1	PROPN
ejpam-5928	86	48	,	,	PUNCT
ejpam-5928	86	49	ζ̈1	ζ̈1	ADJ
ejpam-5928	86	50	,	,	PUNCT
ejpam-5928	86	51	µ	µ	NOUN
ejpam-5928	86	52	)	)	PUNCT
ejpam-5928	86	53	is	be	AUX
ejpam-5928	86	54	a	a	DET
ejpam-5928	86	55	bs	bs	NOUN
ejpam-5928	86	56	subset	subset	NOUN
ejpam-5928	86	57	of	of	ADP
ejpam-5928	86	58	(	(	PUNCT
ejpam-5928	86	59	λ̈2	λ̈2	NOUN
ejpam-5928	86	60	,	,	PUNCT
ejpam-5928	86	61	ζ̈2	ζ̈2	VERB
ejpam-5928	86	62	,	,	PUNCT
ejpam-5928	86	63	ν	ν	NOUN
ejpam-5928	86	64	)	)	PUNCT
ejpam-5928	86	65	and	and	CCONJ
ejpam-5928	86	66	(	(	PUNCT
ejpam-5928	86	67	λ̈2	λ̈2	NOUN
ejpam-5928	86	68	,	,	PUNCT
ejpam-5928	86	69	ζ̈2	ζ̈2	VERB
ejpam-5928	86	70	,	,	PUNCT
ejpam-5928	86	71	ν	ν	X
ejpam-5928	86	72	)	)	PUNCT
ejpam-5928	86	73	is	be	AUX
ejpam-5928	86	74	a	a	DET
ejpam-5928	86	75	bs	bs	NOUN
ejpam-5928	86	76	subset	subset	NOUN
ejpam-5928	86	77	of	of	ADP
ejpam-5928	86	78	(	(	PUNCT
ejpam-5928	86	79	λ̈1	λ̈1	PROPN
ejpam-5928	86	80	,	,	PUNCT
ejpam-5928	86	81	ζ̈1	ζ̈1	ADJ
ejpam-5928	86	82	,	,	PUNCT
ejpam-5928	86	83	µ	µ	NOUN
ejpam-5928	86	84	)	)	PUNCT
ejpam-5928	86	85	.	.	PUNCT
ejpam-5928	87	1	definition	definition	NOUN
ejpam-5928	87	2	7	7	NUM
ejpam-5928	87	3	.	.	PUNCT
ejpam-5928	88	1	[	[	X
ejpam-5928	88	2	28	28	NUM
ejpam-5928	88	3	]	]	X
ejpam-5928	88	4	the	the	DET
ejpam-5928	88	5	complement	complement	NOUN
ejpam-5928	88	6	of	of	ADP
ejpam-5928	88	7	a	a	DET
ejpam-5928	88	8	bs	bs	NOUN
ejpam-5928	88	9	set	set	NOUN
ejpam-5928	88	10	(	(	PUNCT
ejpam-5928	88	11	λ̈	λ̈	PROPN
ejpam-5928	88	12	,	,	PUNCT
ejpam-5928	88	13	ζ̈	ζ̈	PROPN
ejpam-5928	88	14	,	,	PUNCT
ejpam-5928	88	15	µ	µ	NOUN
ejpam-5928	88	16	)	)	PUNCT
ejpam-5928	88	17	is	be	AUX
ejpam-5928	88	18	denoted	denote	VERB
ejpam-5928	88	19	by	by	ADP
ejpam-5928	88	20	(	(	PUNCT
ejpam-5928	88	21	λ̈	λ̈	ADJ
ejpam-5928	88	22	,	,	PUNCT
ejpam-5928	88	23	ζ̈	ζ̈	NOUN
ejpam-5928	88	24	,	,	PUNCT
ejpam-5928	88	25	µ)c	µ)c	PUNCT
ejpam-5928	88	26	and	and	CCONJ
ejpam-5928	88	27	defined	define	VERB
ejpam-5928	88	28	by	by	ADP
ejpam-5928	88	29	(	(	PUNCT
ejpam-5928	88	30	λ̈	λ̈	ADJ
ejpam-5928	88	31	,	,	PUNCT
ejpam-5928	88	32	ζ̈	ζ̈	PROPN
ejpam-5928	88	33	,	,	PUNCT
ejpam-5928	88	34	µ)c=(λ̈c	µ)c=(λ̈c	NOUN
ejpam-5928	88	35	,	,	PUNCT
ejpam-5928	88	36	ζ̈c	ζ̈c	PROPN
ejpam-5928	88	37	,	,	PUNCT
ejpam-5928	88	38	µ	µ	NOUN
ejpam-5928	88	39	)	)	PUNCT
ejpam-5928	88	40	where	where	SCONJ
ejpam-5928	88	41	λ̈c	λ̈c	NOUN
ejpam-5928	88	42	and	and	CCONJ
ejpam-5928	88	43	ζ̈c	ζ̈c	NOUN
ejpam-5928	88	44	are	be	AUX
ejpam-5928	88	45	mappings	mapping	NOUN
ejpam-5928	88	46	given	give	VERB
ejpam-5928	88	47	by	by	ADP
ejpam-5928	88	48	λ̈c(ϑ	λ̈c(ϑ	NOUN
ejpam-5928	88	49	)	)	PUNCT
ejpam-5928	88	50	=	=	SYM
ejpam-5928	88	51	ζ̈(¬ϑ	ζ̈(¬ϑ	X
ejpam-5928	88	52	)	)	PUNCT
ejpam-5928	88	53	and	and	CCONJ
ejpam-5928	88	54	ζ̈c(¬ϑ	ζ̈c(¬ϑ	NUM
ejpam-5928	88	55	)	)	PUNCT
ejpam-5928	88	56	=	=	SYM
ejpam-5928	88	57	λ̈(ϑ	λ̈(ϑ	VERB
ejpam-5928	88	58	)	)	PUNCT
ejpam-5928	88	59	for	for	ADP
ejpam-5928	88	60	all	all	DET
ejpam-5928	88	61	ϑ	ϑ	PRON
ejpam-5928	88	62	∈	∈	PROPN
ejpam-5928	88	63	µ	µ	X
ejpam-5928	88	64	and	and	CCONJ
ejpam-5928	88	65	¬ϑ	¬ϑ	PROPN
ejpam-5928	88	66	∈	∈	PROPN
ejpam-5928	88	67	µ.	µ.	VERB
ejpam-5928	88	68	definition	definition	NOUN
ejpam-5928	88	69	8	8	NUM
ejpam-5928	88	70	.	.	PUNCT
ejpam-5928	89	1	[	[	X
ejpam-5928	89	2	28	28	NUM
ejpam-5928	89	3	]	]	X
ejpam-5928	89	4	the	the	DET
ejpam-5928	89	5	bs	bs	PROPN
ejpam-5928	89	6	extended	extend	VERB
ejpam-5928	89	7	intersection	intersection	NOUN
ejpam-5928	89	8	between	between	ADP
ejpam-5928	89	9	two	two	NUM
ejpam-5928	89	10	bs	bs	NOUN
ejpam-5928	89	11	sets	set	NOUN
ejpam-5928	89	12	(	(	PUNCT
ejpam-5928	89	13	λ̈1	λ̈1	ADJ
ejpam-5928	89	14	,	,	PUNCT
ejpam-5928	89	15	ζ̈1	ζ̈1	ADJ
ejpam-5928	89	16	,	,	PUNCT
ejpam-5928	89	17	µ	µ	NOUN
ejpam-5928	89	18	)	)	PUNCT
ejpam-5928	89	19	and	and	CCONJ
ejpam-5928	89	20	(	(	PUNCT
ejpam-5928	89	21	λ̈2	λ̈2	NOUN
ejpam-5928	89	22	,	,	PUNCT
ejpam-5928	89	23	ζ̈2	ζ̈2	VERB
ejpam-5928	89	24	,	,	PUNCT
ejpam-5928	89	25	ν	ν	X
ejpam-5928	89	26	)	)	PUNCT
ejpam-5928	89	27	is	be	AUX
ejpam-5928	89	28	the	the	DET
ejpam-5928	89	29	bs	bs	NOUN
ejpam-5928	89	30	set	set	NOUN
ejpam-5928	89	31	(	(	PUNCT
ejpam-5928	89	32	ξ	ξ	PROPN
ejpam-5928	89	33	,	,	PUNCT
ejpam-5928	89	34	η	η	PROPN
ejpam-5928	89	35	,	,	PUNCT
ejpam-5928	89	36	α	α	NOUN
ejpam-5928	89	37	)	)	PUNCT
ejpam-5928	89	38	where	where	SCONJ
ejpam-5928	89	39	α	α	NOUN
ejpam-5928	89	40	=	=	X
ejpam-5928	89	41	µ	µ	X
ejpam-5928	89	42	∪	∪	NOUN
ejpam-5928	89	43	ν	ν	NOUN
ejpam-5928	89	44	and	and	CCONJ
ejpam-5928	89	45	for	for	ADP
ejpam-5928	89	46	each	each	DET
ejpam-5928	89	47	ϑ	ϑ	X
ejpam-5928	89	48	∈	∈	PROPN
ejpam-5928	89	49	α	α	NOUN
ejpam-5928	89	50	,	,	PUNCT
ejpam-5928	89	51	ξ(ϑ	ξ(ϑ	ADJ
ejpam-5928	89	52	)	)	PUNCT
ejpam-5928	89	53	=	=	SYM
ejpam-5928	89	54			PROPN
ejpam-5928	89	55	λ̈1(ϑ	λ̈1(ϑ	NOUN
ejpam-5928	89	56	)	)	PUNCT
ejpam-5928	89	57	,	,	PUNCT
ejpam-5928	89	58	ϑ	ϑ	X
ejpam-5928	89	59	∈	∈	PROPN
ejpam-5928	89	60	µ−	µ−	PROPN
ejpam-5928	89	61	ν	ν	NOUN
ejpam-5928	89	62	,	,	PUNCT
ejpam-5928	89	63	λ̈2(ϑ	λ̈2(ϑ	NOUN
ejpam-5928	89	64	)	)	PUNCT
ejpam-5928	89	65	,	,	PUNCT
ejpam-5928	89	66	ϑ	ϑ	X
ejpam-5928	89	67	∈	∈	PROPN
ejpam-5928	89	68	ν	ν	NOUN
ejpam-5928	89	69	−	−	PROPN
ejpam-5928	89	70	µ	µ	NUM
ejpam-5928	89	71	,	,	PUNCT
ejpam-5928	89	72	λ̈1(ϑ	λ̈1(ϑ	ADJ
ejpam-5928	89	73	)	)	PUNCT
ejpam-5928	89	74	∩	∩	NOUN
ejpam-5928	89	75	λ̈2(ϑ	λ̈2(ϑ	NOUN
ejpam-5928	89	76	)	)	PUNCT
ejpam-5928	89	77	,	,	PUNCT
ejpam-5928	89	78	ϑ	ϑ	PROPN
ejpam-5928	89	79	∈	∈	PROPN
ejpam-5928	89	80	µ	µ	X
ejpam-5928	89	81	∩	∩	ADJ
ejpam-5928	89	82	ν	ν	NOUN
ejpam-5928	89	83	.	.	PUNCT
ejpam-5928	89	84	η(¬ϑ	η(¬ϑ	PROPN
ejpam-5928	89	85	)	)	PUNCT
ejpam-5928	90	1	=	=	SYM
ejpam-5928	90	2			NOUN
ejpam-5928	90	3	ζ̈1(¬ϑ	ζ̈1(¬ϑ	NOUN
ejpam-5928	90	4	)	)	PUNCT
ejpam-5928	90	5	,	,	PUNCT
ejpam-5928	90	6	¬ϑ	¬ϑ	PROPN
ejpam-5928	90	7	∈	∈	PROPN
ejpam-5928	90	8	¬µ−	¬µ−	ADJ
ejpam-5928	90	9	¬ν	¬ν	NOUN
ejpam-5928	90	10	,	,	PUNCT
ejpam-5928	90	11	ζ̈2(¬ϑ	ζ̈2(¬ϑ	NUM
ejpam-5928	90	12	)	)	PUNCT
ejpam-5928	90	13	,	,	PUNCT
ejpam-5928	90	14	¬ϑ	¬ϑ	PROPN
ejpam-5928	90	15	∈	∈	PROPN
ejpam-5928	90	16	¬ν	¬ν	NOUN
ejpam-5928	90	17	−	−	PROPN
ejpam-5928	90	18	µ	µ	NOUN
ejpam-5928	90	19	,	,	PUNCT
ejpam-5928	90	20	ζ̈1(¬ϑ	ζ̈1(¬ϑ	NOUN
ejpam-5928	90	21	)	)	PUNCT
ejpam-5928	90	22	∪	∪	ADP
ejpam-5928	90	23	ζ̈2(¬ϑ	ζ̈2(¬ϑ	NUM
ejpam-5928	90	24	)	)	PUNCT
ejpam-5928	90	25	,	,	PUNCT
ejpam-5928	90	26	¬ϑ	¬ϑ	PROPN
ejpam-5928	90	27	∈	∈	PROPN
ejpam-5928	90	28	µ	µ	PROPN
ejpam-5928	90	29	∩	∩	ADJ
ejpam-5928	90	30	¬ν	¬ν	NOUN
ejpam-5928	90	31	.	.	PUNCT
ejpam-5928	91	1	it	it	PRON
ejpam-5928	91	2	represents	represent	VERB
ejpam-5928	91	3	by	by	ADP
ejpam-5928	91	4	(	(	PUNCT
ejpam-5928	91	5	λ̈1	λ̈1	ADJ
ejpam-5928	91	6	,	,	PUNCT
ejpam-5928	91	7	ζ̈1	ζ̈1	ADJ
ejpam-5928	91	8	,	,	PUNCT
ejpam-5928	91	9	µ	µ	NOUN
ejpam-5928	91	10	)	)	PUNCT
ejpam-5928	91	11	˜̃∩	˜̃∩	ADV
ejpam-5928	91	12	(	(	PUNCT
ejpam-5928	91	13	λ̈2	λ̈2	NOUN
ejpam-5928	91	14	,	,	PUNCT
ejpam-5928	91	15	ζ̈2	ζ̈2	VERB
ejpam-5928	91	16	,	,	PUNCT
ejpam-5928	91	17	ν	ν	NOUN
ejpam-5928	91	18	)	)	PUNCT
ejpam-5928	91	19	=	=	SYM
ejpam-5928	91	20	(	(	PUNCT
ejpam-5928	91	21	ξ	ξ	PROPN
ejpam-5928	91	22	,	,	PUNCT
ejpam-5928	91	23	η	η	PROPN
ejpam-5928	91	24	,	,	PUNCT
ejpam-5928	91	25	α	α	NOUN
ejpam-5928	91	26	)	)	PUNCT
ejpam-5928	91	27	.	.	PUNCT
ejpam-5928	92	1	definition	definition	NOUN
ejpam-5928	92	2	9	9	NUM
ejpam-5928	92	3	.	.	PUNCT
ejpam-5928	93	1	[	[	X
ejpam-5928	93	2	28	28	NUM
ejpam-5928	93	3	]	]	X
ejpam-5928	93	4	the	the	DET
ejpam-5928	93	5	bs	bs	NOUN
ejpam-5928	93	6	intersection	intersection	NOUN
ejpam-5928	93	7	between	between	ADP
ejpam-5928	93	8	two	two	NUM
ejpam-5928	93	9	bs	bs	NOUN
ejpam-5928	93	10	sets	set	NOUN
ejpam-5928	93	11	(	(	PUNCT
ejpam-5928	93	12	λ̈1	λ̈1	ADJ
ejpam-5928	93	13	,	,	PUNCT
ejpam-5928	93	14	ζ̈1	ζ̈1	ADJ
ejpam-5928	93	15	,	,	PUNCT
ejpam-5928	93	16	µ	µ	NOUN
ejpam-5928	93	17	)	)	PUNCT
ejpam-5928	93	18	and	and	CCONJ
ejpam-5928	93	19	(	(	PUNCT
ejpam-5928	93	20	λ̈2	λ̈2	NOUN
ejpam-5928	93	21	,	,	PUNCT
ejpam-5928	93	22	ζ̈2	ζ̈2	VERB
ejpam-5928	93	23	,	,	PUNCT
ejpam-5928	93	24	ν	ν	X
ejpam-5928	93	25	)	)	PUNCT
ejpam-5928	93	26	is	be	AUX
ejpam-5928	93	27	the	the	DET
ejpam-5928	93	28	bs	bs	NOUN
ejpam-5928	93	29	set	set	NOUN
ejpam-5928	93	30	(	(	PUNCT
ejpam-5928	93	31	ξ	ξ	PROPN
ejpam-5928	93	32	,	,	PUNCT
ejpam-5928	93	33	η	η	PROPN
ejpam-5928	93	34	,	,	PUNCT
ejpam-5928	93	35	α	α	NOUN
ejpam-5928	93	36	)	)	PUNCT
ejpam-5928	93	37	where	where	SCONJ
ejpam-5928	93	38	α	α	PROPN
ejpam-5928	93	39	=	=	SYM
ejpam-5928	93	40	µ	µ	X
ejpam-5928	93	41	∩	∩	NOUN
ejpam-5928	93	42	ν	ν	X
ejpam-5928	93	43	̸=	̸=	PROPN
ejpam-5928	93	44	ϕ	ϕ	NOUN
ejpam-5928	93	45	and	and	CCONJ
ejpam-5928	93	46	for	for	ADP
ejpam-5928	93	47	all	all	DET
ejpam-5928	93	48	ϑ	ϑ	PRON
ejpam-5928	93	49	∈	∈	PROPN
ejpam-5928	93	50	α	α	NOUN
ejpam-5928	93	51	,	,	PUNCT
ejpam-5928	93	52	ξ(ϑ	ξ(ϑ	ADJ
ejpam-5928	93	53	)	)	PUNCT
ejpam-5928	93	54	=	=	SYM
ejpam-5928	94	1	λ̈1(ϑ	λ̈1(ϑ	ADJ
ejpam-5928	94	2	)	)	PUNCT
ejpam-5928	94	3	∩	∩	NOUN
ejpam-5928	94	4	λ̈2(e	λ̈2(e	NOUN
ejpam-5928	94	5	)	)	PUNCT
ejpam-5928	94	6	and	and	CCONJ
ejpam-5928	94	7	η(¬ϑ	η(¬ϑ	PROPN
ejpam-5928	94	8	)	)	PUNCT
ejpam-5928	94	9	=	=	SYM
ejpam-5928	94	10	ζ̈1(¬ϑ	ζ̈1(¬ϑ	X
ejpam-5928	94	11	)	)	PUNCT
ejpam-5928	94	12	∪	∪	ADP
ejpam-5928	94	13	ζ̈2(¬ϑ	ζ̈2(¬ϑ	NUM
ejpam-5928	94	14	)	)	PUNCT
ejpam-5928	94	15	.	.	PUNCT
ejpam-5928	95	1	it	it	PRON
ejpam-5928	95	2	represents	represent	VERB
ejpam-5928	95	3	by	by	ADP
ejpam-5928	95	4	(	(	PUNCT
ejpam-5928	95	5	λ̈1	λ̈1	ADJ
ejpam-5928	95	6	,	,	PUNCT
ejpam-5928	95	7	ζ̈1	ζ̈1	ADJ
ejpam-5928	95	8	,	,	PUNCT
ejpam-5928	95	9	µ	µ	NOUN
ejpam-5928	95	10	)	)	PUNCT
ejpam-5928	95	11	˜̃∩	˜̃∩	ADV
ejpam-5928	95	12	(	(	PUNCT
ejpam-5928	95	13	λ̈2	λ̈2	NOUN
ejpam-5928	95	14	,	,	PUNCT
ejpam-5928	95	15	ζ̈2	ζ̈2	VERB
ejpam-5928	95	16	,	,	PUNCT
ejpam-5928	95	17	ν	ν	NOUN
ejpam-5928	95	18	)	)	PUNCT
ejpam-5928	95	19	=	=	SYM
ejpam-5928	95	20	(	(	PUNCT
ejpam-5928	95	21	ξ	ξ	PROPN
ejpam-5928	95	22	,	,	PUNCT
ejpam-5928	95	23	η	η	PROPN
ejpam-5928	95	24	,	,	PUNCT
ejpam-5928	95	25	α	α	NOUN
ejpam-5928	95	26	)	)	PUNCT
ejpam-5928	95	27	.	.	PUNCT
ejpam-5928	96	1	definition	definition	NOUN
ejpam-5928	96	2	10	10	NUM
ejpam-5928	96	3	.	.	PUNCT
ejpam-5928	97	1	[	[	X
ejpam-5928	97	2	28	28	NUM
ejpam-5928	97	3	]	]	X
ejpam-5928	97	4	the	the	DET
ejpam-5928	97	5	bs	bs	PROPN
ejpam-5928	97	6	union	union	NOUN
ejpam-5928	97	7	between	between	ADP
ejpam-5928	97	8	two	two	NUM
ejpam-5928	97	9	bs	bs	NOUN
ejpam-5928	97	10	sets	set	NOUN
ejpam-5928	97	11	(	(	PUNCT
ejpam-5928	97	12	λ̈1	λ̈1	ADJ
ejpam-5928	97	13	,	,	PUNCT
ejpam-5928	97	14	ζ̈1	ζ̈1	ADJ
ejpam-5928	97	15	,	,	PUNCT
ejpam-5928	97	16	µ	µ	NOUN
ejpam-5928	97	17	)	)	PUNCT
ejpam-5928	97	18	and	and	CCONJ
ejpam-5928	97	19	(	(	PUNCT
ejpam-5928	97	20	λ̈2	λ̈2	NOUN
ejpam-5928	97	21	,	,	PUNCT
ejpam-5928	97	22	ζ̈2	ζ̈2	VERB
ejpam-5928	97	23	,	,	PUNCT
ejpam-5928	97	24	ν	ν	X
ejpam-5928	97	25	)	)	PUNCT
ejpam-5928	97	26	is	be	AUX
ejpam-5928	97	27	the	the	DET
ejpam-5928	97	28	bs	bs	NOUN
ejpam-5928	97	29	set	set	NOUN
ejpam-5928	97	30	(	(	PUNCT
ejpam-5928	97	31	ξ	ξ	PROPN
ejpam-5928	97	32	,	,	PUNCT
ejpam-5928	97	33	η	η	NOUN
ejpam-5928	97	34	,	,	PUNCT
ejpam-5928	97	35	κ	κ	NOUN
ejpam-5928	97	36	)	)	PUNCT
ejpam-5928	97	37	where	where	SCONJ
ejpam-5928	97	38	κ	κ	NOUN
ejpam-5928	97	39	=	=	X
ejpam-5928	97	40	µ	µ	X
ejpam-5928	97	41	∪	∪	NOUN
ejpam-5928	97	42	ν	ν	NOUN
ejpam-5928	97	43	and	and	CCONJ
ejpam-5928	97	44	for	for	ADP
ejpam-5928	97	45	all	all	DET
ejpam-5928	97	46	ϑ	ϑ	PRON
ejpam-5928	97	47	∈	∈	PROPN
ejpam-5928	97	48	κ	κ	NOUN
ejpam-5928	97	49	,	,	PUNCT
ejpam-5928	97	50	ξ(ϑ	ξ(ϑ	ADJ
ejpam-5928	97	51	)	)	PUNCT
ejpam-5928	97	52	=	=	SYM
ejpam-5928	97	53			PROPN
ejpam-5928	97	54	λ̈1(ϑ	λ̈1(ϑ	NOUN
ejpam-5928	97	55	)	)	PUNCT
ejpam-5928	97	56	,	,	PUNCT
ejpam-5928	97	57	ϑ	ϑ	X
ejpam-5928	97	58	∈	∈	PROPN
ejpam-5928	97	59	µ−	µ−	PROPN
ejpam-5928	97	60	ν	ν	NOUN
ejpam-5928	97	61	,	,	PUNCT
ejpam-5928	97	62	λ̈2(ϑ	λ̈2(ϑ	NOUN
ejpam-5928	97	63	)	)	PUNCT
ejpam-5928	97	64	,	,	PUNCT
ejpam-5928	97	65	ϑ	ϑ	X
ejpam-5928	97	66	∈	∈	PROPN
ejpam-5928	97	67	ν	ν	NOUN
ejpam-5928	97	68	−	−	PROPN
ejpam-5928	97	69	µ	µ	NUM
ejpam-5928	97	70	,	,	PUNCT
ejpam-5928	97	71	λ̈1(ϑ	λ̈1(ϑ	NOUN
ejpam-5928	97	72	)	)	PUNCT
ejpam-5928	97	73	∪	∪	ADP
ejpam-5928	97	74	λ̈2(ϑ	λ̈2(ϑ	NOUN
ejpam-5928	97	75	)	)	PUNCT
ejpam-5928	97	76	,	,	PUNCT
ejpam-5928	97	77	ϑ	ϑ	PROPN
ejpam-5928	97	78	∈	∈	PROPN
ejpam-5928	97	79	µ	µ	X
ejpam-5928	97	80	∩	∩	NOUN
ejpam-5928	97	81	ν	ν	X
ejpam-5928	97	82	̸=	̸=	PROPN
ejpam-5928	97	83	ϕ.	ϕ.	PROPN
ejpam-5928	97	84	r.	r.	PROPN
ejpam-5928	97	85	a.	a.	PROPN
ejpam-5928	97	86	mohammed	mohammed	PROPN
ejpam-5928	97	87	/	/	SYM
ejpam-5928	97	88	eur	eur	PROPN
ejpam-5928	97	89	.	.	PUNCT
ejpam-5928	98	1	j.	j.	PROPN
ejpam-5928	98	2	pure	pure	PROPN
ejpam-5928	98	3	appl	appl	PROPN
ejpam-5928	98	4	.	.	PROPN
ejpam-5928	98	5	math	math	PROPN
ejpam-5928	98	6	,	,	PUNCT
ejpam-5928	98	7	18	18	NUM
ejpam-5928	98	8	(	(	PUNCT
ejpam-5928	98	9	2	2	NUM
ejpam-5928	98	10	)	)	PUNCT
ejpam-5928	98	11	(	(	PUNCT
ejpam-5928	98	12	2025	2025	NUM
ejpam-5928	98	13	)	)	PUNCT
ejpam-5928	98	14	,	,	PUNCT
ejpam-5928	98	15	5928	5928	NUM
ejpam-5928	98	16	5	5	NUM
ejpam-5928	98	17	of	of	ADP
ejpam-5928	98	18	26	26	NUM
ejpam-5928	98	19	η(¬ϑ	η(¬ϑ	NOUN
ejpam-5928	98	20	)	)	PUNCT
ejpam-5928	98	21	=	=	SYM
ejpam-5928	98	22			NOUN
ejpam-5928	98	23	ζ̈1(¬ϑ	ζ̈1(¬ϑ	NOUN
ejpam-5928	98	24	)	)	PUNCT
ejpam-5928	98	25	,	,	PUNCT
ejpam-5928	98	26	¬ϑ	¬ϑ	PROPN
ejpam-5928	98	27	∈	∈	PROPN
ejpam-5928	98	28	¬µ−	¬µ−	ADJ
ejpam-5928	98	29	¬ν	¬ν	NOUN
ejpam-5928	98	30	,	,	PUNCT
ejpam-5928	98	31	ζ̈2(¬ϑ	ζ̈2(¬ϑ	NUM
ejpam-5928	98	32	)	)	PUNCT
ejpam-5928	98	33	,	,	PUNCT
ejpam-5928	98	34	¬ϑ	¬ϑ	PROPN
ejpam-5928	98	35	∈	∈	PROPN
ejpam-5928	98	36	¬ν	¬ν	NOUN
ejpam-5928	98	37	−	−	PROPN
ejpam-5928	98	38	µ	µ	NOUN
ejpam-5928	98	39	,	,	PUNCT
ejpam-5928	98	40	ζ̈1(¬ϑ	ζ̈1(¬ϑ	NUM
ejpam-5928	98	41	)	)	PUNCT
ejpam-5928	98	42	∩	∩	NOUN
ejpam-5928	98	43	ζ̈2(¬ϑ	ζ̈2(¬ϑ	PRON
ejpam-5928	98	44	)	)	PUNCT
ejpam-5928	98	45	,	,	PUNCT
ejpam-5928	98	46	¬ϑ	¬ϑ	PROPN
ejpam-5928	98	47	∈	∈	PROPN
ejpam-5928	98	48	µ	µ	PROPN
ejpam-5928	98	49	∩	∩	NOUN
ejpam-5928	98	50	¬ν	¬ν	NOUN
ejpam-5928	98	51	̸=	̸=	PROPN
ejpam-5928	98	52	ϕ.	ϕ.	NOUN
ejpam-5928	98	53	it	it	PRON
ejpam-5928	98	54	represents	represent	VERB
ejpam-5928	98	55	by	by	ADP
ejpam-5928	98	56	(	(	PUNCT
ejpam-5928	98	57	λ̈1	λ̈1	ADJ
ejpam-5928	98	58	,	,	PUNCT
ejpam-5928	98	59	ζ̈1	ζ̈1	ADJ
ejpam-5928	98	60	,	,	PUNCT
ejpam-5928	98	61	µ	µ	NOUN
ejpam-5928	98	62	)	)	PUNCT
ejpam-5928	98	63	˜̃∪	˜̃∪	PROPN
ejpam-5928	98	64	(	(	PUNCT
ejpam-5928	98	65	λ̈2	λ̈2	NOUN
ejpam-5928	98	66	,	,	PUNCT
ejpam-5928	98	67	ζ̈2	ζ̈2	VERB
ejpam-5928	98	68	,	,	PUNCT
ejpam-5928	98	69	ν	ν	NOUN
ejpam-5928	98	70	)	)	PUNCT
ejpam-5928	98	71	=	=	SYM
ejpam-5928	98	72	(	(	PUNCT
ejpam-5928	98	73	ξ	ξ	PROPN
ejpam-5928	98	74	,	,	PUNCT
ejpam-5928	98	75	η	η	PROPN
ejpam-5928	98	76	,	,	PUNCT
ejpam-5928	98	77	α	α	NOUN
ejpam-5928	98	78	)	)	PUNCT
ejpam-5928	98	79	.	.	PUNCT
ejpam-5928	99	1	definition	definition	NOUN
ejpam-5928	99	2	11	11	NUM
ejpam-5928	99	3	.	.	PUNCT
ejpam-5928	100	1	[	[	X
ejpam-5928	100	2	28	28	NUM
ejpam-5928	100	3	]	]	X
ejpam-5928	100	4	the	the	DET
ejpam-5928	100	5	bs	bs	PROPN
ejpam-5928	100	6	extended	extend	VERB
ejpam-5928	100	7	union	union	NOUN
ejpam-5928	100	8	between	between	ADP
ejpam-5928	100	9	two	two	NUM
ejpam-5928	100	10	bs	bs	NOUN
ejpam-5928	100	11	sets	set	NOUN
ejpam-5928	100	12	(	(	PUNCT
ejpam-5928	100	13	λ̈1	λ̈1	ADJ
ejpam-5928	100	14	,	,	PUNCT
ejpam-5928	100	15	ζ̈1	ζ̈1	ADJ
ejpam-5928	100	16	,	,	PUNCT
ejpam-5928	100	17	µ	µ	NOUN
ejpam-5928	100	18	)	)	PUNCT
ejpam-5928	100	19	and	and	CCONJ
ejpam-5928	100	20	(	(	PUNCT
ejpam-5928	100	21	λ̈2	λ̈2	NOUN
ejpam-5928	100	22	,	,	PUNCT
ejpam-5928	100	23	ζ̈2	ζ̈2	VERB
ejpam-5928	100	24	,	,	PUNCT
ejpam-5928	100	25	ν	ν	X
ejpam-5928	100	26	)	)	PUNCT
ejpam-5928	100	27	is	be	AUX
ejpam-5928	100	28	the	the	DET
ejpam-5928	100	29	bs	bs	NOUN
ejpam-5928	100	30	set	set	NOUN
ejpam-5928	100	31	(	(	PUNCT
ejpam-5928	100	32	ξ	ξ	PROPN
ejpam-5928	100	33	,	,	PUNCT
ejpam-5928	100	34	η	η	PROPN
ejpam-5928	100	35	,	,	PUNCT
ejpam-5928	100	36	α	α	NOUN
ejpam-5928	100	37	)	)	PUNCT
ejpam-5928	100	38	where	where	SCONJ
ejpam-5928	100	39	α	α	PROPN
ejpam-5928	100	40	=	=	SYM
ejpam-5928	100	41	µ	µ	X
ejpam-5928	100	42	∩	∩	NOUN
ejpam-5928	100	43	ν	ν	X
ejpam-5928	100	44	̸=	̸=	PROPN
ejpam-5928	100	45	ϕ	ϕ	NOUN
ejpam-5928	100	46	and	and	CCONJ
ejpam-5928	100	47	for	for	ADP
ejpam-5928	100	48	all	all	DET
ejpam-5928	100	49	ϑ	ϑ	PRON
ejpam-5928	100	50	∈	∈	PROPN
ejpam-5928	100	51	α	α	NOUN
ejpam-5928	100	52	,	,	PUNCT
ejpam-5928	100	53	ξ(ϑ	ξ(ϑ	ADJ
ejpam-5928	100	54	)	)	PUNCT
ejpam-5928	100	55	=	=	PUNCT
ejpam-5928	101	1	λ̈1(ϑ	λ̈1(ϑ	NOUN
ejpam-5928	101	2	)	)	PUNCT
ejpam-5928	101	3	∪	∪	ADP
ejpam-5928	101	4	λ̈2(ϑ	λ̈2(ϑ	NOUN
ejpam-5928	101	5	)	)	PUNCT
ejpam-5928	101	6	and	and	CCONJ
ejpam-5928	101	7	η(¬ϑ	η(¬ϑ	PROPN
ejpam-5928	101	8	)	)	PUNCT
ejpam-5928	101	9	=	=	SYM
ejpam-5928	101	10	ζ̈1(¬ϑ	ζ̈1(¬ϑ	X
ejpam-5928	101	11	)	)	PUNCT
ejpam-5928	101	12	∩	∩	NOUN
ejpam-5928	101	13	ζ̈2(¬ϑ	ζ̈2(¬ϑ	PRON
ejpam-5928	101	14	)	)	PUNCT
ejpam-5928	101	15	.	.	PUNCT
ejpam-5928	102	1	it	it	PRON
ejpam-5928	102	2	represents	represent	VERB
ejpam-5928	102	3	by	by	ADP
ejpam-5928	102	4	(	(	PUNCT
ejpam-5928	102	5	λ̈1	λ̈1	ADJ
ejpam-5928	102	6	,	,	PUNCT
ejpam-5928	102	7	ζ̈1	ζ̈1	ADJ
ejpam-5928	102	8	,	,	PUNCT
ejpam-5928	102	9	µ	µ	NOUN
ejpam-5928	102	10	)	)	PUNCT
ejpam-5928	102	11	˜̃∪	˜̃∪	PROPN
ejpam-5928	102	12	(	(	PUNCT
ejpam-5928	102	13	λ̈2	λ̈2	NOUN
ejpam-5928	102	14	,	,	PUNCT
ejpam-5928	102	15	ζ̈2	ζ̈2	VERB
ejpam-5928	102	16	,	,	PUNCT
ejpam-5928	102	17	ν	ν	NOUN
ejpam-5928	102	18	)	)	PUNCT
ejpam-5928	102	19	=	=	SYM
ejpam-5928	102	20	(	(	PUNCT
ejpam-5928	102	21	ξ	ξ	PROPN
ejpam-5928	102	22	,	,	PUNCT
ejpam-5928	102	23	η	η	PROPN
ejpam-5928	102	24	,	,	PUNCT
ejpam-5928	102	25	α	α	NOUN
ejpam-5928	102	26	)	)	PUNCT
ejpam-5928	102	27	.	.	PUNCT
ejpam-5928	103	1	proposition	proposition	NOUN
ejpam-5928	103	2	1	1	NUM
ejpam-5928	103	3	.	.	PUNCT
ejpam-5928	104	1	[	[	X
ejpam-5928	104	2	28	28	NUM
ejpam-5928	104	3	]	]	X
ejpam-5928	104	4	if	if	SCONJ
ejpam-5928	104	5	(	(	PUNCT
ejpam-5928	104	6	λ̈1	λ̈1	ADJ
ejpam-5928	104	7	,	,	PUNCT
ejpam-5928	104	8	ζ̈1	ζ̈1	ADJ
ejpam-5928	104	9	,	,	PUNCT
ejpam-5928	104	10	µ),(λ̈2	µ),(λ̈2	ADJ
ejpam-5928	104	11	,	,	PUNCT
ejpam-5928	104	12	ζ̈2	ζ̈2	VERB
ejpam-5928	104	13	,	,	PUNCT
ejpam-5928	104	14	ν	ν	NOUN
ejpam-5928	104	15	)	)	PUNCT
ejpam-5928	104	16	˜̃∈	˜̃∈	PROPN
ejpam-5928	104	17	bss(π	bss(π	PROPN
ejpam-5928	104	18	)	)	PUNCT
ejpam-5928	104	19	,	,	PUNCT
ejpam-5928	104	20	then	then	ADV
ejpam-5928	104	21	:	:	PUNCT
ejpam-5928	104	22	(	(	PUNCT
ejpam-5928	104	23	i	i	NOUN
ejpam-5928	104	24	)	)	PUNCT
ejpam-5928	104	25	(	(	PUNCT
ejpam-5928	104	26	(	(	PUNCT
ejpam-5928	104	27	λ̈1	λ̈1	ADJ
ejpam-5928	104	28	,	,	PUNCT
ejpam-5928	104	29	ζ̈1	ζ̈1	ADJ
ejpam-5928	104	30	,	,	PUNCT
ejpam-5928	104	31	µ	µ	NOUN
ejpam-5928	104	32	)	)	PUNCT
ejpam-5928	104	33	˜̃∪	˜̃∪	PROPN
ejpam-5928	104	34	(	(	PUNCT
ejpam-5928	104	35	λ̈2	λ̈2	NOUN
ejpam-5928	104	36	,	,	PUNCT
ejpam-5928	104	37	ζ̈2	ζ̈2	VERB
ejpam-5928	104	38	,	,	PUNCT
ejpam-5928	104	39	ν	ν	NOUN
ejpam-5928	104	40	)	)	PUNCT
ejpam-5928	104	41	)	)	PUNCT
ejpam-5928	105	1	c	c	NOUN
ejpam-5928	106	1	=	=	SYM
ejpam-5928	106	2	(	(	PUNCT
ejpam-5928	106	3	λ̈1	λ̈1	PROPN
ejpam-5928	106	4	,	,	PUNCT
ejpam-5928	106	5	ζ̈1	ζ̈1	ADJ
ejpam-5928	106	6	,	,	PUNCT
ejpam-5928	106	7	µ	µ	NOUN
ejpam-5928	106	8	)	)	PUNCT
ejpam-5928	106	9	c	c	NOUN
ejpam-5928	106	10	˜̃∩	˜̃∩	ADP
ejpam-5928	106	11	(	(	PUNCT
ejpam-5928	106	12	λ̈2	λ̈2	NOUN
ejpam-5928	106	13	,	,	PUNCT
ejpam-5928	106	14	ζ̈2	ζ̈2	VERB
ejpam-5928	106	15	,	,	PUNCT
ejpam-5928	106	16	ν	ν	NOUN
ejpam-5928	106	17	)	)	PUNCT
ejpam-5928	106	18	c.	c.	PROPN
ejpam-5928	106	19	(	(	PUNCT
ejpam-5928	106	20	ii	ii	PROPN
ejpam-5928	106	21	)	)	PUNCT
ejpam-5928	106	22	(	(	PUNCT
ejpam-5928	106	23	(	(	PUNCT
ejpam-5928	106	24	λ̈1	λ̈1	ADJ
ejpam-5928	106	25	,	,	PUNCT
ejpam-5928	106	26	ζ̈1	ζ̈1	ADJ
ejpam-5928	106	27	,	,	PUNCT
ejpam-5928	106	28	µ	µ	NOUN
ejpam-5928	106	29	)	)	PUNCT
ejpam-5928	106	30	˜̃∩	˜̃∩	ADV
ejpam-5928	106	31	(	(	PUNCT
ejpam-5928	106	32	λ̈2	λ̈2	NOUN
ejpam-5928	106	33	,	,	PUNCT
ejpam-5928	106	34	ζ̈2	ζ̈2	VERB
ejpam-5928	106	35	,	,	PUNCT
ejpam-5928	106	36	ν	ν	NOUN
ejpam-5928	106	37	)	)	PUNCT
ejpam-5928	106	38	)	)	PUNCT
ejpam-5928	107	1	c	c	NOUN
ejpam-5928	108	1	=	=	SYM
ejpam-5928	108	2	(	(	PUNCT
ejpam-5928	108	3	λ̈1	λ̈1	PROPN
ejpam-5928	108	4	,	,	PUNCT
ejpam-5928	108	5	ζ̈1	ζ̈1	ADJ
ejpam-5928	108	6	,	,	PUNCT
ejpam-5928	108	7	µ	µ	NOUN
ejpam-5928	108	8	)	)	PUNCT
ejpam-5928	108	9	c	c	PROPN
ejpam-5928	109	1	˜̃∪	˜̃∪	PROPN
ejpam-5928	109	2	(	(	PUNCT
ejpam-5928	109	3	λ̈2	λ̈2	NOUN
ejpam-5928	109	4	,	,	PUNCT
ejpam-5928	109	5	ζ̈2	ζ̈2	VERB
ejpam-5928	109	6	,	,	PUNCT
ejpam-5928	109	7	ν	ν	NOUN
ejpam-5928	109	8	)	)	PUNCT
ejpam-5928	109	9	c.	c.	NOUN
ejpam-5928	109	10	(	(	PUNCT
ejpam-5928	109	11	iii	iii	NOUN
ejpam-5928	109	12	)	)	PUNCT
ejpam-5928	109	13	(	(	PUNCT
ejpam-5928	109	14	(	(	PUNCT
ejpam-5928	109	15	λ̈1	λ̈1	ADJ
ejpam-5928	109	16	,	,	PUNCT
ejpam-5928	109	17	ζ̈1	ζ̈1	ADJ
ejpam-5928	109	18	,	,	PUNCT
ejpam-5928	109	19	µ	µ	NOUN
ejpam-5928	109	20	)	)	PUNCT
ejpam-5928	109	21	c)c	c)c	NOUN
ejpam-5928	109	22	=	=	PUNCT
ejpam-5928	109	23	(	(	PUNCT
ejpam-5928	109	24	λ̈1	λ̈1	PROPN
ejpam-5928	109	25	,	,	PUNCT
ejpam-5928	109	26	ζ̈1	ζ̈1	ADJ
ejpam-5928	109	27	,	,	PUNCT
ejpam-5928	109	28	µ	µ	NOUN
ejpam-5928	109	29	)	)	PUNCT
ejpam-5928	109	30	.	.	PUNCT
ejpam-5928	110	1	(	(	PUNCT
ejpam-5928	110	2	iv	iv	X
ejpam-5928	110	3	)	)	PUNCT
ejpam-5928	110	4	(	(	PUNCT
ejpam-5928	110	5	φ	φ	PROPN
ejpam-5928	110	6	,	,	PUNCT
ejpam-5928	110	7	˜̃	˜̃	NOUN
ejpam-5928	110	8	π	π	PROPN
ejpam-5928	110	9	,	,	PUNCT
ejpam-5928	110	10	µ	µ	NOUN
ejpam-5928	110	11	)	)	PUNCT
ejpam-5928	110	12	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	110	13	(	(	PUNCT
ejpam-5928	110	14	λ̈1	λ̈1	PROPN
ejpam-5928	110	15	,	,	PUNCT
ejpam-5928	110	16	ζ̈1	ζ̈1	ADJ
ejpam-5928	110	17	,	,	PUNCT
ejpam-5928	110	18	µ	µ	NOUN
ejpam-5928	110	19	)	)	PUNCT
ejpam-5928	110	20	˜̃∩	˜̃∩	ADV
ejpam-5928	110	21	(	(	PUNCT
ejpam-5928	110	22	λ̈2	λ̈2	NOUN
ejpam-5928	110	23	,	,	PUNCT
ejpam-5928	110	24	ζ̈2	ζ̈2	VERB
ejpam-5928	110	25	,	,	PUNCT
ejpam-5928	110	26	ν	ν	NOUN
ejpam-5928	110	27	)	)	PUNCT
ejpam-5928	110	28	c	c	PROPN
ejpam-5928	111	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	111	2	(	(	PUNCT
ejpam-5928	111	3	λ̈1	λ̈1	PROPN
ejpam-5928	111	4	,	,	PUNCT
ejpam-5928	111	5	ζ̈1	ζ̈1	ADJ
ejpam-5928	111	6	,	,	PUNCT
ejpam-5928	111	7	µ	µ	NOUN
ejpam-5928	111	8	)	)	PUNCT
ejpam-5928	111	9	˜̃∪	˜̃∪	PROPN
ejpam-5928	111	10	(	(	PUNCT
ejpam-5928	111	11	λ̈2	λ̈2	NOUN
ejpam-5928	111	12	,	,	PUNCT
ejpam-5928	111	13	ζ̈2	ζ̈2	VERB
ejpam-5928	111	14	,	,	PUNCT
ejpam-5928	111	15	ν	ν	NOUN
ejpam-5928	111	16	)	)	PUNCT
ejpam-5928	111	17	c	c	PROPN
ejpam-5928	111	18	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	111	19	(	(	PUNCT
ejpam-5928	111	20	˜̃	˜̃	NOUN
ejpam-5928	111	21	π	π	PROPN
ejpam-5928	111	22	,	,	PUNCT
ejpam-5928	111	23	φ	φ	PROPN
ejpam-5928	111	24	,	,	PUNCT
ejpam-5928	111	25	µ	µ	NOUN
ejpam-5928	111	26	)	)	PUNCT
ejpam-5928	111	27	.	.	PUNCT
ejpam-5928	112	1	definition	definition	NOUN
ejpam-5928	112	2	12	12	NUM
ejpam-5928	112	3	.	.	PUNCT
ejpam-5928	113	1	[	[	X
ejpam-5928	113	2	34	34	NUM
ejpam-5928	113	3	]	]	PUNCT
ejpam-5928	113	4	the	the	DET
ejpam-5928	113	5	bs	bs	NOUN
ejpam-5928	113	6	difference	difference	NOUN
ejpam-5928	113	7	between	between	ADP
ejpam-5928	113	8	two	two	NUM
ejpam-5928	113	9	bs	bs	NOUN
ejpam-5928	113	10	sets	set	NOUN
ejpam-5928	113	11	(	(	PUNCT
ejpam-5928	113	12	λ̈1	λ̈1	ADJ
ejpam-5928	113	13	,	,	PUNCT
ejpam-5928	113	14	ζ̈1	ζ̈1	ADJ
ejpam-5928	113	15	,	,	PUNCT
ejpam-5928	113	16	µ	µ	NOUN
ejpam-5928	113	17	)	)	PUNCT
ejpam-5928	113	18	and	and	CCONJ
ejpam-5928	113	19	(	(	PUNCT
ejpam-5928	113	20	λ̈2	λ̈2	NOUN
ejpam-5928	113	21	,	,	PUNCT
ejpam-5928	113	22	ζ̈2	ζ̈2	VERB
ejpam-5928	113	23	,	,	PUNCT
ejpam-5928	113	24	ν	ν	X
ejpam-5928	113	25	)	)	PUNCT
ejpam-5928	113	26	is	be	AUX
ejpam-5928	113	27	the	the	DET
ejpam-5928	113	28	bs	bs	NOUN
ejpam-5928	113	29	set	set	NOUN
ejpam-5928	113	30	(	(	PUNCT
ejpam-5928	113	31	λ̈	λ̈	PROPN
ejpam-5928	113	32	,	,	PUNCT
ejpam-5928	113	33	ζ̈	ζ̈	PROPN
ejpam-5928	113	34	,	,	PUNCT
ejpam-5928	113	35	κ	κ	NOUN
ejpam-5928	113	36	)	)	PUNCT
ejpam-5928	113	37	where	where	SCONJ
ejpam-5928	113	38	κ	κ	NOUN
ejpam-5928	113	39	=	=	X
ejpam-5928	113	40	µ	µ	X
ejpam-5928	113	41	∪	∪	NOUN
ejpam-5928	113	42	ν	ν	NOUN
ejpam-5928	113	43	is	be	AUX
ejpam-5928	113	44	defined	define	VERB
ejpam-5928	113	45	as	as	ADP
ejpam-5928	113	46	(	(	PUNCT
ejpam-5928	113	47	λ̈1	λ̈1	ADJ
ejpam-5928	113	48	,	,	PUNCT
ejpam-5928	113	49	ζ̈1	ζ̈1	ADJ
ejpam-5928	113	50	,	,	PUNCT
ejpam-5928	113	51	µ	µ	NOUN
ejpam-5928	113	52	)	)	PUNCT
ejpam-5928	113	53	˜̃\	˜̃\	NOUN
ejpam-5928	113	54	(	(	PUNCT
ejpam-5928	113	55	λ̈2	λ̈2	NOUN
ejpam-5928	113	56	,	,	PUNCT
ejpam-5928	113	57	ζ̈2	ζ̈2	VERB
ejpam-5928	113	58	,	,	PUNCT
ejpam-5928	113	59	ν	ν	NOUN
ejpam-5928	113	60	)	)	PUNCT
ejpam-5928	113	61	=	=	SYM
ejpam-5928	113	62	(	(	PUNCT
ejpam-5928	113	63	λ̈1	λ̈1	PROPN
ejpam-5928	113	64	,	,	PUNCT
ejpam-5928	113	65	ζ̈1	ζ̈1	ADJ
ejpam-5928	113	66	,	,	PUNCT
ejpam-5928	113	67	µ	µ	NOUN
ejpam-5928	113	68	)	)	PUNCT
ejpam-5928	113	69	˜̃∩	˜̃∩	ADV
ejpam-5928	113	70	(	(	PUNCT
ejpam-5928	113	71	λ̈2	λ̈2	NOUN
ejpam-5928	113	72	,	,	PUNCT
ejpam-5928	113	73	ζ̈2	ζ̈2	VERB
ejpam-5928	113	74	,	,	PUNCT
ejpam-5928	113	75	ν	ν	NOUN
ejpam-5928	113	76	)	)	PUNCT
ejpam-5928	113	77	c.	c.	NOUN
ejpam-5928	113	78	definition	definition	NOUN
ejpam-5928	113	79	13	13	NUM
ejpam-5928	113	80	.	.	PUNCT
ejpam-5928	114	1	[	[	X
ejpam-5928	114	2	32	32	NUM
ejpam-5928	114	3	]	]	X
ejpam-5928	114	4	let	let	VERB
ejpam-5928	114	5	(	(	PUNCT
ejpam-5928	114	6	ζ̈	ζ̈	NOUN
ejpam-5928	114	7	,	,	PUNCT
ejpam-5928	114	8	λ̈	λ̈	NOUN
ejpam-5928	114	9	,	,	PUNCT
ejpam-5928	114	10	µ	µ	NOUN
ejpam-5928	114	11	)	)	PUNCT
ejpam-5928	114	12	be	be	VERB
ejpam-5928	114	13	a	a	DET
ejpam-5928	114	14	bs	bs	NOUN
ejpam-5928	114	15	set	set	VERB
ejpam-5928	114	16	over	over	ADP
ejpam-5928	114	17	π	π	PROPN
ejpam-5928	114	18	.	.	PUNCT
ejpam-5928	115	1	the	the	DET
ejpam-5928	115	2	bs	bs	PROPN
ejpam-5928	115	3	set	set	NOUN
ejpam-5928	115	4	(	(	PUNCT
ejpam-5928	115	5	ζ̈	ζ̈	PROPN
ejpam-5928	115	6	,	,	PUNCT
ejpam-5928	115	7	λ̈	λ̈	NOUN
ejpam-5928	115	8	,	,	PUNCT
ejpam-5928	115	9	µ	µ	NOUN
ejpam-5928	115	10	)	)	PUNCT
ejpam-5928	115	11	is	be	AUX
ejpam-5928	115	12	named	name	VERB
ejpam-5928	115	13	a	a	DET
ejpam-5928	115	14	bs	bs	NOUN
ejpam-5928	115	15	point	point	NOUN
ejpam-5928	115	16	(	(	PUNCT
ejpam-5928	115	17	bsp	bsp	NOUN
ejpam-5928	115	18	)	)	PUNCT
ejpam-5928	115	19	if	if	SCONJ
ejpam-5928	115	20	there	there	PRON
ejpam-5928	115	21	is	be	VERB
ejpam-5928	115	22	α	α	NOUN
ejpam-5928	115	23	,	,	PUNCT
ejpam-5928	115	24	β	β	X
ejpam-5928	115	25	∈	∈	PROPN
ejpam-5928	115	26	π	π	PROPN
ejpam-5928	115	27	,	,	PUNCT
ejpam-5928	115	28	ϑ	ϑ	PROPN
ejpam-5928	115	29	∈	∈	PROPN
ejpam-5928	115	30	µ	µ	X
ejpam-5928	115	31	and	and	CCONJ
ejpam-5928	115	32	¬ϑ	¬ϑ	PROPN
ejpam-5928	115	33	∈	∈	PROPN
ejpam-5928	115	34	µ	µ	PROPN
ejpam-5928	115	35	s.	s.	PROPN
ejpam-5928	115	36	t.	t.	PROPN
ejpam-5928	115	37	ζ̈(δ	ζ̈(δ	PROPN
ejpam-5928	115	38	)	)	PUNCT
ejpam-5928	115	39	=	=	PRON
ejpam-5928	115	40	{	{	PUNCT
ejpam-5928	115	41	{	{	PUNCT
ejpam-5928	115	42	α	α	NOUN
ejpam-5928	115	43	}	}	PUNCT
ejpam-5928	115	44	,	,	PUNCT
ejpam-5928	115	45	δ	δ	PROPN
ejpam-5928	115	46	=	=	SYM
ejpam-5928	115	47	ϑ	ϑ	PROPN
ejpam-5928	115	48	,	,	PUNCT
ejpam-5928	115	49	ϕ	ϕ	NOUN
ejpam-5928	115	50	,	,	PUNCT
ejpam-5928	115	51	δ	δ	PROPN
ejpam-5928	115	52	∈	∈	PROPN
ejpam-5928	115	53	µ	µ	X
ejpam-5928	115	54	\	\	X
ejpam-5928	115	55	{	{	PUNCT
ejpam-5928	115	56	ϑ	ϑ	NOUN
ejpam-5928	115	57	}	}	PUNCT
ejpam-5928	115	58	.	.	PUNCT
ejpam-5928	116	1	λ̈(δ′	λ̈(δ′	CCONJ
ejpam-5928	116	2	)	)	PUNCT
ejpam-5928	117	1	=	=	PRON
ejpam-5928	117	2	{	{	PUNCT
ejpam-5928	117	3	π	π	PROPN
ejpam-5928	117	4	\	\	PROPN
ejpam-5928	117	5	{	{	PUNCT
ejpam-5928	117	6	α	α	X
ejpam-5928	117	7	,	,	PUNCT
ejpam-5928	117	8	β	β	NOUN
ejpam-5928	117	9	}	}	PUNCT
ejpam-5928	117	10	,	,	PUNCT
ejpam-5928	117	11	δ′	δ′	PROPN
ejpam-5928	117	12	=	=	SYM
ejpam-5928	117	13	¬ϑ	¬ϑ	PROPN
ejpam-5928	117	14	,	,	PUNCT
ejpam-5928	117	15	π	π	PROPN
ejpam-5928	117	16	,	,	PUNCT
ejpam-5928	117	17	δ′	δ′	PROPN
ejpam-5928	117	18	∈	∈	PROPN
ejpam-5928	117	19	µ	µ	PROPN
ejpam-5928	117	20	\	\	NOUN
ejpam-5928	117	21	{	{	PUNCT
ejpam-5928	117	22	¬ϑ	¬ϑ	PROPN
ejpam-5928	117	23	}	}	PUNCT
ejpam-5928	117	24	.	.	PUNCT
ejpam-5928	118	1	we	we	PRON
ejpam-5928	118	2	denoted	denote	VERB
ejpam-5928	118	3	the	the	DET
ejpam-5928	118	4	bs	bs	PROPN
ejpam-5928	118	5	point	point	NOUN
ejpam-5928	118	6	(	(	PUNCT
ejpam-5928	118	7	ζ̈	ζ̈	PROPN
ejpam-5928	118	8	,	,	PUNCT
ejpam-5928	118	9	λ̈	λ̈	NOUN
ejpam-5928	118	10	,	,	PUNCT
ejpam-5928	118	11	µ	µ	NOUN
ejpam-5928	118	12	)	)	PUNCT
ejpam-5928	118	13	by	by	ADP
ejpam-5928	118	14	αϑ	αϑ	PROPN
ejpam-5928	118	15	β	β	NOUN
ejpam-5928	118	16	,	,	PUNCT
ejpam-5928	118	17	and	and	CCONJ
ejpam-5928	118	18	bsp(π)(µ,¬µ	bsp(π)(µ,¬µ	NUM
ejpam-5928	118	19	)	)	PUNCT
ejpam-5928	118	20	is	be	AUX
ejpam-5928	118	21	denoted	denote	VERB
ejpam-5928	118	22	by	by	ADP
ejpam-5928	118	23	the	the	DET
ejpam-5928	118	24	class	class	NOUN
ejpam-5928	118	25	of	of	ADP
ejpam-5928	118	26	all	all	DET
ejpam-5928	118	27	bsps	bsps	NOUN
ejpam-5928	118	28	over	over	ADP
ejpam-5928	118	29	π	π	PROPN
ejpam-5928	118	30	by	by	ADP
ejpam-5928	118	31	.	.	PUNCT
ejpam-5928	119	1	proposition	proposition	NOUN
ejpam-5928	119	2	2	2	NUM
ejpam-5928	119	3	.	.	PUNCT
ejpam-5928	120	1	[	[	X
ejpam-5928	120	2	41	41	NUM
ejpam-5928	120	3	]	]	X
ejpam-5928	120	4	let	let	VERB
ejpam-5928	120	5	(	(	PUNCT
ejpam-5928	120	6	λ̈	λ̈	ADJ
ejpam-5928	120	7	,	,	PUNCT
ejpam-5928	120	8	ζ̈	ζ̈	PROPN
ejpam-5928	120	9	,	,	PUNCT
ejpam-5928	120	10	µ	µ	NOUN
ejpam-5928	120	11	)	)	PUNCT
ejpam-5928	120	12	˜̃∈	˜̃∈	PROPN
ejpam-5928	120	13	bss(π	bss(π	PROPN
ejpam-5928	120	14	)	)	PUNCT
ejpam-5928	120	15	.	.	PUNCT
ejpam-5928	121	1	then	then	ADV
ejpam-5928	121	2	(	(	PUNCT
ejpam-5928	121	3	i	i	NOUN
ejpam-5928	121	4	)	)	PUNCT
ejpam-5928	121	5	(	(	PUNCT
ejpam-5928	121	6	λ̈	λ̈	PROPN
ejpam-5928	121	7	,	,	PUNCT
ejpam-5928	121	8	ζ̈	ζ̈	PROPN
ejpam-5928	121	9	,	,	PUNCT
ejpam-5928	121	10	µ	µ	NOUN
ejpam-5928	121	11	)	)	PUNCT
ejpam-5928	121	12	˜̃∪	˜̃∪	PROPN
ejpam-5928	121	13	(	(	PUNCT
ejpam-5928	121	14	λ̈	λ̈	PROPN
ejpam-5928	121	15	,	,	PUNCT
ejpam-5928	121	16	ζ̈	ζ̈	NOUN
ejpam-5928	121	17	,	,	PUNCT
ejpam-5928	121	18	µ)c	µ)c	PUNCT
ejpam-5928	121	19	=	=	SYM
ejpam-5928	121	20	(	(	PUNCT
ejpam-5928	121	21	ξ	ξ	PROPN
ejpam-5928	121	22	,	,	PUNCT
ejpam-5928	121	23	φ	φ	PROPN
ejpam-5928	121	24	,	,	PUNCT
ejpam-5928	121	25	µ	µ	NOUN
ejpam-5928	121	26	)	)	PUNCT
ejpam-5928	121	27	,	,	PUNCT
ejpam-5928	121	28	where	where	SCONJ
ejpam-5928	121	29	ξ(ϑ	ξ(ϑ	ADV
ejpam-5928	121	30	)	)	PUNCT
ejpam-5928	121	31	=	=	SYM
ejpam-5928	121	32	λ̈(ϑ	λ̈(ϑ	NUM
ejpam-5928	121	33	)	)	PUNCT
ejpam-5928	121	34	∪	∪	ADP
ejpam-5928	121	35	λ̈c(ϑ	λ̈c(ϑ	NUM
ejpam-5928	121	36	)	)	PUNCT
ejpam-5928	121	37	⊆	⊆	NUM
ejpam-5928	121	38	π	π	NOUN
ejpam-5928	121	39	for	for	ADP
ejpam-5928	121	40	each	each	DET
ejpam-5928	121	41	ϑ	ϑ	X
ejpam-5928	121	42	∈	∈	PROPN
ejpam-5928	121	43	µ	µ	X
ejpam-5928	121	44	and	and	CCONJ
ejpam-5928	121	45	φ(¬ϑ	φ(¬ϑ	NUM
ejpam-5928	121	46	)	)	PUNCT
ejpam-5928	121	47	=	=	SYM
ejpam-5928	121	48	ζ̈(¬ϑ	ζ̈(¬ϑ	ADJ
ejpam-5928	121	49	)	)	PUNCT
ejpam-5928	121	50	∩	∩	NOUN
ejpam-5928	121	51	ζ̈c(¬ϑ	ζ̈c(¬ϑ	NOUN
ejpam-5928	121	52	)	)	PUNCT
ejpam-5928	121	53	=	=	SYM
ejpam-5928	121	54	ϕ	ϕ	PROPN
ejpam-5928	121	55	for	for	ADP
ejpam-5928	121	56	each	each	DET
ejpam-5928	121	57	¬ϑ	¬ϑ	PROPN
ejpam-5928	121	58	∈	∈	PROPN
ejpam-5928	121	59	µ.	µ.	VERB
ejpam-5928	121	60	r.	r.	PROPN
ejpam-5928	121	61	a.	a.	PROPN
ejpam-5928	121	62	mohammed	mohammed	PROPN
ejpam-5928	121	63	/	/	SYM
ejpam-5928	121	64	eur	eur	PROPN
ejpam-5928	121	65	.	.	PUNCT
ejpam-5928	122	1	j.	j.	PROPN
ejpam-5928	122	2	pure	pure	PROPN
ejpam-5928	122	3	appl	appl	PROPN
ejpam-5928	122	4	.	.	PROPN
ejpam-5928	122	5	math	math	PROPN
ejpam-5928	122	6	,	,	PUNCT
ejpam-5928	122	7	18	18	NUM
ejpam-5928	122	8	(	(	PUNCT
ejpam-5928	122	9	2	2	NUM
ejpam-5928	122	10	)	)	PUNCT
ejpam-5928	122	11	(	(	PUNCT
ejpam-5928	122	12	2025	2025	NUM
ejpam-5928	122	13	)	)	PUNCT
ejpam-5928	122	14	,	,	PUNCT
ejpam-5928	122	15	5928	5928	NUM
ejpam-5928	122	16	6	6	NUM
ejpam-5928	122	17	of	of	ADP
ejpam-5928	122	18	26	26	NUM
ejpam-5928	122	19	(	(	PUNCT
ejpam-5928	122	20	ii	ii	NOUN
ejpam-5928	122	21	)	)	PUNCT
ejpam-5928	122	22	(	(	PUNCT
ejpam-5928	122	23	λ̈	λ̈	PROPN
ejpam-5928	122	24	,	,	PUNCT
ejpam-5928	122	25	ζ̈	ζ̈	PROPN
ejpam-5928	122	26	,	,	PUNCT
ejpam-5928	122	27	µ	µ	NOUN
ejpam-5928	122	28	)	)	PUNCT
ejpam-5928	122	29	˜̃∩	˜̃∩	ADV
ejpam-5928	122	30	(	(	PUNCT
ejpam-5928	122	31	λ̈	λ̈	ADJ
ejpam-5928	122	32	,	,	PUNCT
ejpam-5928	122	33	ζ̈	ζ̈	NOUN
ejpam-5928	122	34	,	,	PUNCT
ejpam-5928	122	35	µ)c	µ)c	PUNCT
ejpam-5928	122	36	=	=	SYM
ejpam-5928	122	37	(	(	PUNCT
ejpam-5928	122	38	φ	φ	PROPN
ejpam-5928	122	39	,	,	PUNCT
ejpam-5928	122	40	η	η	PROPN
ejpam-5928	122	41	,	,	PUNCT
ejpam-5928	122	42	µ	µ	NOUN
ejpam-5928	122	43	)	)	PUNCT
ejpam-5928	122	44	,	,	PUNCT
ejpam-5928	122	45	where	where	SCONJ
ejpam-5928	122	46	φ(ϑ	φ(ϑ	NOUN
ejpam-5928	122	47	)	)	PUNCT
ejpam-5928	122	48	=	=	SYM
ejpam-5928	122	49	λ̈(ϑ	λ̈(ϑ	ADJ
ejpam-5928	122	50	)	)	PUNCT
ejpam-5928	122	51	∩	∩	NOUN
ejpam-5928	122	52	λ̈c(ϑ	λ̈c(ϑ	NUM
ejpam-5928	122	53	)	)	PUNCT
ejpam-5928	123	1	=	=	SYM
ejpam-5928	123	2	ϕ	ϕ	PROPN
ejpam-5928	123	3	for	for	ADP
ejpam-5928	123	4	each	each	DET
ejpam-5928	123	5	ϑ	ϑ	X
ejpam-5928	123	6	∈	∈	PROPN
ejpam-5928	123	7	µ	µ	X
ejpam-5928	123	8	and	and	CCONJ
ejpam-5928	123	9	η(¬ϑ	η(¬ϑ	PROPN
ejpam-5928	123	10	)	)	PUNCT
ejpam-5928	123	11	=	=	SYM
ejpam-5928	123	12	ζ̈(¬ϑ	ζ̈(¬ϑ	X
ejpam-5928	123	13	)	)	PUNCT
ejpam-5928	123	14	∪	∪	ADP
ejpam-5928	123	15	ζ̈c(¬ϑ	ζ̈c(¬ϑ	NOUN
ejpam-5928	123	16	)	)	PUNCT
ejpam-5928	123	17	⊆	⊆	NUM
ejpam-5928	123	18	π	π	NOUN
ejpam-5928	123	19	for	for	ADP
ejpam-5928	123	20	each	each	DET
ejpam-5928	123	21	¬ϑ	¬ϑ	PROPN
ejpam-5928	123	22	∈	∈	PROPN
ejpam-5928	123	23	µ.	µ.	VERB
ejpam-5928	123	24	further	far	ADV
ejpam-5928	123	25	(	(	PUNCT
ejpam-5928	123	26	λ̈	λ̈	ADJ
ejpam-5928	123	27	,	,	PUNCT
ejpam-5928	123	28	ζ̈	ζ̈	PROPN
ejpam-5928	123	29	,	,	PUNCT
ejpam-5928	123	30	µ	µ	NOUN
ejpam-5928	123	31	)	)	PUNCT
ejpam-5928	123	32	,	,	PUNCT
ejpam-5928	123	33	(	(	PUNCT
ejpam-5928	123	34	λ̈	λ̈	NOUN
ejpam-5928	123	35	,	,	PUNCT
ejpam-5928	123	36	ζ̈	ζ̈	NOUN
ejpam-5928	123	37	,	,	PUNCT
ejpam-5928	123	38	µ)c	µ)c	PUNCT
ejpam-5928	123	39	will	will	AUX
ejpam-5928	123	40	always	always	ADV
ejpam-5928	123	41	satisfy	satisfy	VERB
ejpam-5928	123	42	λ̈(ϑ	λ̈(ϑ	NUM
ejpam-5928	123	43	)	)	PUNCT
ejpam-5928	123	44	∪	∪	ADP
ejpam-5928	123	45	λ̈c(ϑ	λ̈c(ϑ	NUM
ejpam-5928	123	46	)	)	PUNCT
ejpam-5928	123	47	=	=	SYM
ejpam-5928	123	48	ζ̈(¬ϑ	ζ̈(¬ϑ	X
ejpam-5928	123	49	)	)	PUNCT
ejpam-5928	123	50	∪	∪	ADP
ejpam-5928	123	51	ζ̈c(¬ϑ	ζ̈c(¬ϑ	NUM
ejpam-5928	123	52	)	)	PUNCT
ejpam-5928	123	53	for	for	ADP
ejpam-5928	123	54	all	all	DET
ejpam-5928	123	55	ϑ	ϑ	PRON
ejpam-5928	123	56	∈	∈	PROPN
ejpam-5928	123	57	µ.	µ.	NOUN
ejpam-5928	123	58	(	(	PUNCT
ejpam-5928	123	59	iii	iii	NOUN
ejpam-5928	123	60	)	)	PUNCT
ejpam-5928	123	61	(	(	PUNCT
ejpam-5928	123	62	λ̈	λ̈	PROPN
ejpam-5928	123	63	,	,	PUNCT
ejpam-5928	123	64	ζ̈	ζ̈	PROPN
ejpam-5928	123	65	,	,	PUNCT
ejpam-5928	123	66	µ	µ	NOUN
ejpam-5928	123	67	)	)	PUNCT
ejpam-5928	123	68	˜̃∪	˜̃∪	PROPN
ejpam-5928	123	69	(	(	PUNCT
ejpam-5928	123	70	˜̃	˜̃	NOUN
ejpam-5928	123	71	π	π	PROPN
ejpam-5928	123	72	,	,	PUNCT
ejpam-5928	123	73	φ	φ	PROPN
ejpam-5928	123	74	,	,	PUNCT
ejpam-5928	123	75	µ	µ	NOUN
ejpam-5928	123	76	)	)	PUNCT
ejpam-5928	123	77	=	=	SYM
ejpam-5928	123	78	(	(	PUNCT
ejpam-5928	123	79	˜̃	˜̃	NOUN
ejpam-5928	123	80	π	π	PROPN
ejpam-5928	123	81	,	,	PUNCT
ejpam-5928	123	82	φ	φ	PROPN
ejpam-5928	123	83	,	,	PUNCT
ejpam-5928	123	84	µ	µ	NOUN
ejpam-5928	123	85	)	)	PUNCT
ejpam-5928	123	86	and	and	CCONJ
ejpam-5928	123	87	(	(	PUNCT
ejpam-5928	123	88	λ̈	λ̈	PROPN
ejpam-5928	123	89	,	,	PUNCT
ejpam-5928	123	90	ζ̈	ζ̈	PROPN
ejpam-5928	123	91	,	,	PUNCT
ejpam-5928	123	92	µ	µ	NOUN
ejpam-5928	123	93	)	)	PUNCT
ejpam-5928	123	94	˜̃∩	˜̃∩	ADV
ejpam-5928	123	95	(	(	PUNCT
ejpam-5928	123	96	˜̃	˜̃	NOUN
ejpam-5928	123	97	π	π	PROPN
ejpam-5928	123	98	,	,	PUNCT
ejpam-5928	123	99	φ	φ	PROPN
ejpam-5928	123	100	,	,	PUNCT
ejpam-5928	123	101	µ	µ	NOUN
ejpam-5928	123	102	)	)	PUNCT
ejpam-5928	123	103	=	=	PUNCT
ejpam-5928	123	104	(	(	PUNCT
ejpam-5928	123	105	λ̈	λ̈	PROPN
ejpam-5928	123	106	,	,	PUNCT
ejpam-5928	123	107	ζ̈	ζ̈	PROPN
ejpam-5928	123	108	,	,	PUNCT
ejpam-5928	123	109	µ	µ	NOUN
ejpam-5928	123	110	)	)	PUNCT
ejpam-5928	123	111	.	.	PUNCT
ejpam-5928	124	1	definition	definition	NOUN
ejpam-5928	124	2	14	14	NUM
ejpam-5928	124	3	.	.	PUNCT
ejpam-5928	125	1	a	a	DET
ejpam-5928	125	2	class	class	NOUN
ejpam-5928	125	3	m̃	m̃	NOUN
ejpam-5928	125	4	of	of	ADP
ejpam-5928	125	5	soft	soft	ADJ
ejpam-5928	125	6	sets	set	NOUN
ejpam-5928	125	7	of	of	ADP
ejpam-5928	125	8	π	π	PROPN
ejpam-5928	125	9	is	be	AUX
ejpam-5928	125	10	said	say	VERB
ejpam-5928	125	11	to	to	PART
ejpam-5928	125	12	be	be	AUX
ejpam-5928	125	13	soft	soft	ADJ
ejpam-5928	125	14	minimal	minimal	ADJ
ejpam-5928	125	15	topology	topology	NOUN
ejpam-5928	125	16	m̃	m̃	PROPN
ejpam-5928	125	17	on	on	ADP
ejpam-5928	125	18	π	π	PROPN
ejpam-5928	125	19	if	if	SCONJ
ejpam-5928	125	20	(	(	PUNCT
ejpam-5928	125	21	φ	φ	PROPN
ejpam-5928	125	22	,	,	PUNCT
ejpam-5928	125	23	µ	µ	NOUN
ejpam-5928	125	24	)	)	PUNCT
ejpam-5928	125	25	∈̃	∈̃	PROPN
ejpam-5928	125	26	m̃	m̃	PROPN
ejpam-5928	125	27	and	and	CCONJ
ejpam-5928	125	28	(	(	PUNCT
ejpam-5928	125	29	˜̃	˜̃	NOUN
ejpam-5928	125	30	π	π	PROPN
ejpam-5928	125	31	,	,	PUNCT
ejpam-5928	125	32	µ	µ	NOUN
ejpam-5928	125	33	)	)	PUNCT
ejpam-5928	125	34	∈̃	∈̃	NOUN
ejpam-5928	125	35	m̃.	m̃.	VERB
ejpam-5928	125	36	the	the	DET
ejpam-5928	125	37	triple	triple	ADJ
ejpam-5928	125	38	(	(	PUNCT
ejpam-5928	125	39	π	π	PROPN
ejpam-5928	125	40	,	,	PUNCT
ejpam-5928	125	41	m̃	m̃	PROPN
ejpam-5928	125	42	,	,	PUNCT
ejpam-5928	125	43	µ	µ	NOUN
ejpam-5928	125	44	)	)	PUNCT
ejpam-5928	125	45	is	be	AUX
ejpam-5928	125	46	said	say	VERB
ejpam-5928	125	47	to	to	PART
ejpam-5928	125	48	be	be	AUX
ejpam-5928	125	49	a	a	DET
ejpam-5928	125	50	soft	soft	ADJ
ejpam-5928	125	51	minimal	minimal	ADJ
ejpam-5928	125	52	space	space	NOUN
ejpam-5928	125	53	(	(	PUNCT
ejpam-5928	125	54	sms	sms	PROPN
ejpam-5928	125	55	)	)	PUNCT
ejpam-5928	125	56	over	over	ADP
ejpam-5928	125	57	π	π	PROPN
ejpam-5928	125	58	.	.	PUNCT
ejpam-5928	126	1	the	the	DET
ejpam-5928	126	2	members	member	NOUN
ejpam-5928	126	3	of	of	ADP
ejpam-5928	126	4	m̃	m̃	PROPN
ejpam-5928	126	5	are	be	AUX
ejpam-5928	126	6	called	call	VERB
ejpam-5928	126	7	soft	soft	ADJ
ejpam-5928	126	8	m̃-open	m̃-open	ADJ
ejpam-5928	126	9	sets	set	NOUN
ejpam-5928	126	10	.	.	PUNCT
ejpam-5928	127	1	the	the	DET
ejpam-5928	127	2	complement	complement	NOUN
ejpam-5928	127	3	of	of	ADP
ejpam-5928	127	4	soft	soft	ADJ
ejpam-5928	127	5	m̃-open	m̃-open	ADJ
ejpam-5928	127	6	sets	set	NOUN
ejpam-5928	127	7	are	be	AUX
ejpam-5928	127	8	soft	soft	ADJ
ejpam-5928	127	9	m̃-closed	m̃-close	VERB
ejpam-5928	127	10	.	.	PUNCT
ejpam-5928	128	1	3	3	X
ejpam-5928	128	2	.	.	X
ejpam-5928	128	3	bipolar	bipolar	ADJ
ejpam-5928	128	4	soft	soft	ADJ
ejpam-5928	128	5	minimal	minimal	ADJ
ejpam-5928	128	6	structures	structure	NOUN
ejpam-5928	128	7	this	this	DET
ejpam-5928	128	8	section	section	NOUN
ejpam-5928	128	9	presents	present	VERB
ejpam-5928	128	10	a	a	DET
ejpam-5928	128	11	new	new	ADJ
ejpam-5928	128	12	structure	structure	NOUN
ejpam-5928	128	13	of	of	ADP
ejpam-5928	128	14	bipolar	bipolar	ADJ
ejpam-5928	128	15	soft	soft	ADJ
ejpam-5928	128	16	topology	topology	NOUN
ejpam-5928	128	17	called	call	VERB
ejpam-5928	128	18	bipolar	bipolar	ADJ
ejpam-5928	128	19	soft	soft	ADJ
ejpam-5928	128	20	minimal	minimal	ADJ
ejpam-5928	128	21	structure	structure	NOUN
ejpam-5928	128	22	.	.	PUNCT
ejpam-5928	129	1	it	it	PRON
ejpam-5928	129	2	presents	present	VERB
ejpam-5928	129	3	some	some	DET
ejpam-5928	129	4	notions	notion	NOUN
ejpam-5928	129	5	and	and	CCONJ
ejpam-5928	129	6	properties	property	NOUN
ejpam-5928	129	7	of	of	ADP
ejpam-5928	129	8	bipolar	bipolar	ADJ
ejpam-5928	129	9	soft	soft	ADJ
ejpam-5928	129	10	minimal	minimal	ADJ
ejpam-5928	129	11	structure	structure	NOUN
ejpam-5928	129	12	.	.	PUNCT
ejpam-5928	130	1	definition	definition	NOUN
ejpam-5928	130	2	15	15	NUM
ejpam-5928	130	3	.	.	PUNCT
ejpam-5928	131	1	a	a	DET
ejpam-5928	131	2	class	class	NOUN
ejpam-5928	131	3	˜̃m	˜̃m	ADJ
ejpam-5928	131	4	of	of	ADP
ejpam-5928	131	5	bs	bs	PROPN
ejpam-5928	131	6	sets	set	NOUN
ejpam-5928	131	7	over	over	ADP
ejpam-5928	131	8	π	π	PROPN
ejpam-5928	131	9	with	with	ADP
ejpam-5928	131	10	respect	respect	NOUN
ejpam-5928	131	11	to	to	ADP
ejpam-5928	131	12	γ	γ	PROPN
ejpam-5928	131	13	is	be	AUX
ejpam-5928	131	14	said	say	VERB
ejpam-5928	131	15	to	to	PART
ejpam-5928	131	16	be	be	AUX
ejpam-5928	131	17	a	a	DET
ejpam-5928	131	18	bipolar	bipolar	ADJ
ejpam-5928	131	19	soft	soft	ADJ
ejpam-5928	131	20	minimal	minimal	ADJ
ejpam-5928	131	21	structure	structure	NOUN
ejpam-5928	131	22	if	if	SCONJ
ejpam-5928	131	23	(	(	PUNCT
ejpam-5928	131	24	φ	φ	NOUN
ejpam-5928	131	25	,	,	PUNCT
ejpam-5928	131	26	˜̃	˜̃	NOUN
ejpam-5928	131	27	π	π	PROPN
ejpam-5928	131	28	,	,	PUNCT
ejpam-5928	131	29	µ	µ	NOUN
ejpam-5928	131	30	)	)	PUNCT
ejpam-5928	131	31	˜̃∈	˜̃∈	PROPN
ejpam-5928	131	32	˜̃m	˜̃m	PROPN
ejpam-5928	131	33	and	and	CCONJ
ejpam-5928	131	34	(	(	PUNCT
ejpam-5928	131	35	˜̃	˜̃	NOUN
ejpam-5928	131	36	π	π	PROPN
ejpam-5928	131	37	,	,	PUNCT
ejpam-5928	131	38	φ	φ	PROPN
ejpam-5928	131	39	,	,	PUNCT
ejpam-5928	131	40	µ	µ	NOUN
ejpam-5928	131	41	)	)	PUNCT
ejpam-5928	131	42	˜̃∈	˜̃∈	PROPN
ejpam-5928	131	43	˜̃m	˜̃m	ADJ
ejpam-5928	131	44	.	.	PUNCT
ejpam-5928	132	1	the	the	DET
ejpam-5928	132	2	quadruple	quadruple	NOUN
ejpam-5928	132	3	(	(	PUNCT
ejpam-5928	132	4	π	π	X
ejpam-5928	132	5	,	,	PUNCT
ejpam-5928	132	6	˜̃m	˜̃m	PROPN
ejpam-5928	132	7	,	,	PUNCT
ejpam-5928	132	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	132	9	)	)	PUNCT
ejpam-5928	132	10	is	be	AUX
ejpam-5928	132	11	called	call	VERB
ejpam-5928	132	12	a	a	DET
ejpam-5928	132	13	bipolar	bipolar	ADJ
ejpam-5928	132	14	soft	soft	ADJ
ejpam-5928	132	15	minimal	minimal	ADJ
ejpam-5928	132	16	space	space	NOUN
ejpam-5928	132	17	(	(	PUNCT
ejpam-5928	132	18	bsms	bsms	NOUN
ejpam-5928	132	19	)	)	PUNCT
ejpam-5928	132	20	.	.	PUNCT
ejpam-5928	133	1	every	every	DET
ejpam-5928	133	2	member	member	NOUN
ejpam-5928	133	3	of	of	ADP
ejpam-5928	133	4	˜̃m	˜̃m	PROPN
ejpam-5928	133	5	is	be	AUX
ejpam-5928	133	6	called	call	VERB
ejpam-5928	133	7	a	a	DET
ejpam-5928	133	8	˜̃m	˜̃m	ADV
ejpam-5928	133	9	-	-	PUNCT
ejpam-5928	133	10	open	open	ADJ
ejpam-5928	133	11	set	set	NOUN
ejpam-5928	133	12	in	in	ADP
ejpam-5928	133	13	π	π	PROPN
ejpam-5928	133	14	.	.	PUNCT
ejpam-5928	134	1	the	the	DET
ejpam-5928	134	2	bs	bs	PROPN
ejpam-5928	134	3	complement	complement	NOUN
ejpam-5928	134	4	of	of	ADP
ejpam-5928	134	5	a	a	DET
ejpam-5928	134	6	˜̃m	˜̃m	ADV
ejpam-5928	134	7	-	-	PUNCT
ejpam-5928	134	8	open	open	ADJ
ejpam-5928	134	9	set	set	NOUN
ejpam-5928	134	10	is	be	AUX
ejpam-5928	134	11	said	say	VERB
ejpam-5928	134	12	to	to	ADP
ejpam-5928	134	13	be˜̃m	be˜̃m	NOUN
ejpam-5928	134	14	-	-	PUNCT
ejpam-5928	134	15	closed	closed	ADJ
ejpam-5928	134	16	.	.	PUNCT
ejpam-5928	135	1	theorem	theorem	NOUN
ejpam-5928	135	2	1	1	NUM
ejpam-5928	135	3	.	.	PUNCT
ejpam-5928	136	1	if	if	SCONJ
ejpam-5928	136	2	(	(	PUNCT
ejpam-5928	136	3	π	π	X
ejpam-5928	136	4	,	,	PUNCT
ejpam-5928	136	5	˜̃m	˜̃m	PROPN
ejpam-5928	136	6	,	,	PUNCT
ejpam-5928	136	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	136	8	)	)	PUNCT
ejpam-5928	136	9	is	be	AUX
ejpam-5928	136	10	a	a	DET
ejpam-5928	136	11	bsms	bsms	NOUN
ejpam-5928	136	12	,	,	PUNCT
ejpam-5928	136	13	then	then	ADV
ejpam-5928	136	14	m̃	m̃	PROPN
ejpam-5928	136	15	=	=	SYM
ejpam-5928	136	16	{	{	PUNCT
ejpam-5928	136	17	(	(	PUNCT
ejpam-5928	136	18	λ̈	λ̈	PROPN
ejpam-5928	136	19	,	,	PUNCT
ejpam-5928	136	20	µ	µ	NOUN
ejpam-5928	136	21	)	)	PUNCT
ejpam-5928	136	22	:	:	PUNCT
ejpam-5928	136	23	(	(	PUNCT
ejpam-5928	136	24	λ̈	λ̈	ADJ
ejpam-5928	136	25	,	,	PUNCT
ejpam-5928	136	26	ζ̈	ζ̈	PROPN
ejpam-5928	136	27	,	,	PUNCT
ejpam-5928	136	28	µ	µ	NOUN
ejpam-5928	136	29	)	)	PUNCT
ejpam-5928	136	30	˜̃∈	˜̃∈	PROPN
ejpam-5928	136	31	˜̃m	˜̃m	PROPN
ejpam-5928	136	32	}	}	PUNCT
ejpam-5928	136	33	is	be	AUX
ejpam-5928	136	34	sms	sm	NOUN
ejpam-5928	136	35	.	.	PUNCT
ejpam-5928	137	1	proof	proof	NOUN
ejpam-5928	137	2	.	.	PUNCT
ejpam-5928	138	1	assume	assume	VERB
ejpam-5928	138	2	that	that	SCONJ
ejpam-5928	138	3	(	(	PUNCT
ejpam-5928	138	4	π	π	X
ejpam-5928	138	5	,	,	PUNCT
ejpam-5928	138	6	˜̃m	˜̃m	PROPN
ejpam-5928	138	7	,	,	PUNCT
ejpam-5928	138	8	µ,¬µ	µ,¬µ	ADJ
ejpam-5928	138	9	)	)	PUNCT
ejpam-5928	138	10	is	be	AUX
ejpam-5928	138	11	bsms	bsm	NOUN
ejpam-5928	138	12	.	.	PUNCT
ejpam-5928	139	1	then	then	ADV
ejpam-5928	139	2	(	(	PUNCT
ejpam-5928	139	3	φ	φ	NOUN
ejpam-5928	139	4	,	,	PUNCT
ejpam-5928	139	5	˜̃	˜̃	NOUN
ejpam-5928	139	6	π	π	PROPN
ejpam-5928	139	7	,	,	PUNCT
ejpam-5928	139	8	µ	µ	NOUN
ejpam-5928	139	9	)	)	PUNCT
ejpam-5928	139	10	˜̃∈	˜̃∈	PROPN
ejpam-5928	139	11	˜̃m	˜̃m	PROPN
ejpam-5928	139	12	and	and	CCONJ
ejpam-5928	139	13	(	(	PUNCT
ejpam-5928	139	14	˜̃	˜̃	NOUN
ejpam-5928	139	15	π	π	PROPN
ejpam-5928	139	16	,	,	PUNCT
ejpam-5928	139	17	φ	φ	PROPN
ejpam-5928	139	18	,	,	PUNCT
ejpam-5928	139	19	µ	µ	NOUN
ejpam-5928	139	20	)	)	PUNCT
ejpam-5928	139	21	˜̃∈	˜̃∈	PROPN
ejpam-5928	139	22	˜̃m	˜̃m	ADJ
ejpam-5928	139	23	.	.	PUNCT
ejpam-5928	140	1	this	this	PRON
ejpam-5928	140	2	implies	imply	VERB
ejpam-5928	140	3	that	that	SCONJ
ejpam-5928	140	4	(	(	PUNCT
ejpam-5928	140	5	φ	φ	PROPN
ejpam-5928	140	6	,	,	PUNCT
ejpam-5928	140	7	µ	µ	NOUN
ejpam-5928	140	8	)	)	PUNCT
ejpam-5928	140	9	∈̃	∈̃	PROPN
ejpam-5928	140	10	m̃	m̃	PROPN
ejpam-5928	140	11	and	and	CCONJ
ejpam-5928	140	12	(	(	PUNCT
ejpam-5928	140	13	˜̃	˜̃	NOUN
ejpam-5928	140	14	π	π	PROPN
ejpam-5928	140	15	,	,	PUNCT
ejpam-5928	140	16	µ	µ	NOUN
ejpam-5928	140	17	)	)	PUNCT
ejpam-5928	140	18	∈̃	∈̃	PROPN
ejpam-5928	140	19	m̃.	m̃.	PROPN
ejpam-5928	140	20	hence	hence	ADV
ejpam-5928	140	21	m̃	m̃	PROPN
ejpam-5928	140	22	defines	define	VERB
ejpam-5928	140	23	a	a	DET
ejpam-5928	140	24	sms	sms	NOUN
ejpam-5928	140	25	.	.	PUNCT
ejpam-5928	141	1	the	the	DET
ejpam-5928	141	2	converse	converse	NOUN
ejpam-5928	141	3	of	of	ADP
ejpam-5928	141	4	theorem	theorem	NOUN
ejpam-5928	141	5	1	1	NUM
ejpam-5928	141	6	is	be	AUX
ejpam-5928	141	7	not	not	PART
ejpam-5928	141	8	correct	correct	ADJ
ejpam-5928	141	9	as	as	ADP
ejpam-5928	141	10	in	in	ADP
ejpam-5928	141	11	the	the	DET
ejpam-5928	141	12	next	next	ADJ
ejpam-5928	141	13	example	example	NOUN
ejpam-5928	141	14	.	.	PUNCT
ejpam-5928	142	1	example	example	NOUN
ejpam-5928	143	1	1	1	NUM
ejpam-5928	143	2	.	.	PUNCT
ejpam-5928	143	3	let	let	VERB
ejpam-5928	143	4	π	π	NOUN
ejpam-5928	143	5	=	=	PUNCT
ejpam-5928	143	6	{	{	PUNCT
ejpam-5928	143	7	ϵ1	ϵ1	ADJ
ejpam-5928	143	8	,	,	PUNCT
ejpam-5928	143	9	ϵ2	ϵ2	ADJ
ejpam-5928	143	10	,	,	PUNCT
ejpam-5928	143	11	ϵ3	ϵ3	PROPN
ejpam-5928	143	12	}	}	PUNCT
ejpam-5928	143	13	and	and	CCONJ
ejpam-5928	143	14	µ	µ	X
ejpam-5928	143	15	=	=	PUNCT
ejpam-5928	143	16	{	{	PUNCT
ejpam-5928	143	17	ϑ	ϑ	NOUN
ejpam-5928	143	18	}	}	PUNCT
ejpam-5928	143	19	.	.	PUNCT
ejpam-5928	144	1	suppose	suppose	VERB
ejpam-5928	144	2	that	that	SCONJ
ejpam-5928	144	3	˜̃m	˜̃m	PROPN
ejpam-5928	144	4	=	=	PUNCT
ejpam-5928	144	5	{	{	PUNCT
ejpam-5928	144	6	(	(	PUNCT
ejpam-5928	144	7	φ	φ	PROPN
ejpam-5928	144	8	,	,	PUNCT
ejpam-5928	144	9	ζ̈	ζ̈	PROPN
ejpam-5928	144	10	,	,	PUNCT
ejpam-5928	144	11	µ	µ	NOUN
ejpam-5928	144	12	)	)	PUNCT
ejpam-5928	144	13	,	,	PUNCT
ejpam-5928	144	14	(	(	PUNCT
ejpam-5928	144	15	˜̃π	˜̃π	NOUN
ejpam-5928	144	16	,	,	PUNCT
ejpam-5928	144	17	φ	φ	PROPN
ejpam-5928	144	18	,	,	PUNCT
ejpam-5928	144	19	µ	µ	NOUN
ejpam-5928	144	20	)	)	PUNCT
ejpam-5928	144	21	}	}	PUNCT
ejpam-5928	144	22	,	,	PUNCT
ejpam-5928	144	23	where	where	SCONJ
ejpam-5928	144	24	(	(	PUNCT
ejpam-5928	144	25	φ	φ	NOUN
ejpam-5928	144	26	,	,	PUNCT
ejpam-5928	144	27	ζ̈	ζ̈	PROPN
ejpam-5928	144	28	,	,	PUNCT
ejpam-5928	144	29	µ	µ	NOUN
ejpam-5928	144	30	)	)	PUNCT
ejpam-5928	144	31	is	be	AUX
ejpam-5928	144	32	a	a	DET
ejpam-5928	144	33	bs	bs	NOUN
ejpam-5928	144	34	set	set	NOUN
ejpam-5928	144	35	defined	define	VERB
ejpam-5928	144	36	as	as	ADP
ejpam-5928	144	37	follows	follow	VERB
ejpam-5928	144	38	(	(	PUNCT
ejpam-5928	144	39	φ	φ	NOUN
ejpam-5928	144	40	,	,	PUNCT
ejpam-5928	144	41	ζ̈	ζ̈	PROPN
ejpam-5928	144	42	,	,	PUNCT
ejpam-5928	144	43	µ	µ	NOUN
ejpam-5928	144	44	)	)	PUNCT
ejpam-5928	144	45	=	=	PRON
ejpam-5928	144	46	{	{	PUNCT
ejpam-5928	144	47	(	(	PUNCT
ejpam-5928	144	48	ϑ	ϑ	X
ejpam-5928	144	49	,	,	PUNCT
ejpam-5928	144	50	ϕ	ϕ	NOUN
ejpam-5928	144	51	,	,	PUNCT
ejpam-5928	144	52	{	{	PUNCT
ejpam-5928	144	53	ϵ1	ϵ1	ADJ
ejpam-5928	144	54	,	,	PUNCT
ejpam-5928	144	55	ϵ2	ϵ2	ADJ
ejpam-5928	144	56	}	}	PUNCT
ejpam-5928	144	57	)	)	PUNCT
ejpam-5928	144	58	.	.	PUNCT
ejpam-5928	145	1	then	then	ADV
ejpam-5928	145	2	m̃	m̃	PROPN
ejpam-5928	145	3	=	=	SYM
ejpam-5928	145	4	{	{	PUNCT
ejpam-5928	145	5	(	(	PUNCT
ejpam-5928	145	6	φ	φ	PROPN
ejpam-5928	145	7	,	,	PUNCT
ejpam-5928	145	8	µ	µ	NOUN
ejpam-5928	145	9	)	)	PUNCT
ejpam-5928	145	10	,	,	PUNCT
ejpam-5928	145	11	(	(	PUNCT
ejpam-5928	145	12	˜̃π	˜̃π	NOUN
ejpam-5928	145	13	,	,	PUNCT
ejpam-5928	145	14	µ	µ	NOUN
ejpam-5928	145	15	)	)	PUNCT
ejpam-5928	145	16	}	}	PUNCT
ejpam-5928	145	17	is	be	AUX
ejpam-5928	145	18	sms	sm	NOUN
ejpam-5928	145	19	defined	define	VERB
ejpam-5928	145	20	on	on	ADP
ejpam-5928	145	21	π	π	PROPN
ejpam-5928	145	22	.	.	PUNCT
ejpam-5928	146	1	meanwhile	meanwhile	ADV
ejpam-5928	146	2	,	,	PUNCT
ejpam-5928	146	3	˜̃m	˜̃m	PROPN
ejpam-5928	146	4	is	be	AUX
ejpam-5928	146	5	not	not	PART
ejpam-5928	146	6	bsms	bsm	NOUN
ejpam-5928	146	7	.	.	PUNCT
ejpam-5928	147	1	theorem	theorem	NOUN
ejpam-5928	147	2	2	2	NUM
ejpam-5928	147	3	.	.	X
ejpam-5928	148	1	let	let	VERB
ejpam-5928	148	2	(	(	PUNCT
ejpam-5928	148	3	π	π	PROPN
ejpam-5928	148	4	,	,	PUNCT
ejpam-5928	148	5	˜̃m	˜̃m	PROPN
ejpam-5928	148	6	,	,	PUNCT
ejpam-5928	148	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	148	8	)	)	PUNCT
ejpam-5928	148	9	be	be	VERB
ejpam-5928	148	10	a	a	DET
ejpam-5928	148	11	bsms	bsms	NOUN
ejpam-5928	148	12	,	,	PUNCT
ejpam-5928	148	13	then	then	ADV
ejpam-5928	148	14	¬m̃	¬m̃	VERB
ejpam-5928	148	15	=	=	SYM
ejpam-5928	148	16	{	{	PUNCT
ejpam-5928	148	17	(	(	PUNCT
ejpam-5928	148	18	ζ̈,¬µ	ζ̈,¬µ	PROPN
ejpam-5928	148	19	)	)	PUNCT
ejpam-5928	148	20	:	:	PUNCT
ejpam-5928	148	21	(	(	PUNCT
ejpam-5928	148	22	λ̈	λ̈	NOUN
ejpam-5928	148	23	,	,	PUNCT
ejpam-5928	148	24	ζ̈	ζ̈	PROPN
ejpam-5928	148	25	,	,	PUNCT
ejpam-5928	148	26	µ	µ	NOUN
ejpam-5928	148	27	)	)	PUNCT
ejpam-5928	148	28	˜̃∈	˜̃∈	PROPN
ejpam-5928	148	29	˜̃m	˜̃m	PROPN
ejpam-5928	148	30	}	}	PUNCT
ejpam-5928	148	31	is	be	AUX
ejpam-5928	148	32	sms	sm	NOUN
ejpam-5928	148	33	.	.	PUNCT
ejpam-5928	149	1	proof	proof	NOUN
ejpam-5928	149	2	.	.	PUNCT
ejpam-5928	150	1	similar	similar	ADJ
ejpam-5928	150	2	to	to	ADP
ejpam-5928	150	3	theorem	theorem	NOUN
ejpam-5928	150	4	1	1	NUM
ejpam-5928	150	5	.	.	PUNCT
ejpam-5928	151	1	the	the	DET
ejpam-5928	151	2	converse	converse	NOUN
ejpam-5928	151	3	of	of	ADP
ejpam-5928	151	4	theorem	theorem	ADJ
ejpam-5928	151	5	2	2	NUM
ejpam-5928	151	6	is	be	AUX
ejpam-5928	151	7	not	not	PART
ejpam-5928	151	8	correct	correct	ADJ
ejpam-5928	151	9	as	as	ADP
ejpam-5928	151	10	in	in	ADP
ejpam-5928	151	11	the	the	DET
ejpam-5928	151	12	next	next	ADJ
ejpam-5928	151	13	example	example	NOUN
ejpam-5928	151	14	.	.	PUNCT
ejpam-5928	152	1	example	example	NOUN
ejpam-5928	153	1	2	2	NUM
ejpam-5928	153	2	.	.	PUNCT
ejpam-5928	153	3	let	let	VERB
ejpam-5928	153	4	π	π	NOUN
ejpam-5928	153	5	=	=	PUNCT
ejpam-5928	153	6	{	{	PUNCT
ejpam-5928	153	7	ϵ1	ϵ1	ADJ
ejpam-5928	153	8	,	,	PUNCT
ejpam-5928	153	9	ϵ2	ϵ2	ADJ
ejpam-5928	153	10	,	,	PUNCT
ejpam-5928	153	11	ϵ3	ϵ3	PROPN
ejpam-5928	153	12	}	}	PUNCT
ejpam-5928	153	13	and	and	CCONJ
ejpam-5928	153	14	µ	µ	X
ejpam-5928	153	15	=	=	PUNCT
ejpam-5928	153	16	{	{	PUNCT
ejpam-5928	153	17	ϑ	ϑ	NOUN
ejpam-5928	153	18	}	}	PUNCT
ejpam-5928	153	19	.	.	PUNCT
ejpam-5928	154	1	suppose	suppose	VERB
ejpam-5928	154	2	that	that	SCONJ
ejpam-5928	154	3	˜̃m	˜̃m	PROPN
ejpam-5928	154	4	=	=	PUNCT
ejpam-5928	154	5	{	{	PUNCT
ejpam-5928	154	6	(	(	PUNCT
ejpam-5928	154	7	ζ̈,φ	ζ̈,φ	NOUN
ejpam-5928	154	8	,	,	PUNCT
ejpam-5928	154	9	µ	µ	NOUN
ejpam-5928	154	10	)	)	PUNCT
ejpam-5928	154	11	,	,	PUNCT
ejpam-5928	154	12	(	(	PUNCT
ejpam-5928	154	13	φ	φ	NOUN
ejpam-5928	154	14	,	,	PUNCT
ejpam-5928	154	15	˜̃π	˜̃π	NOUN
ejpam-5928	154	16	,	,	PUNCT
ejpam-5928	154	17	µ	µ	NOUN
ejpam-5928	154	18	)	)	PUNCT
ejpam-5928	154	19	}	}	PUNCT
ejpam-5928	154	20	,	,	PUNCT
ejpam-5928	154	21	where	where	SCONJ
ejpam-5928	154	22	(	(	PUNCT
ejpam-5928	154	23	ζ̈,φ	ζ̈,φ	NOUN
ejpam-5928	154	24	,	,	PUNCT
ejpam-5928	154	25	µ	µ	NOUN
ejpam-5928	154	26	)	)	PUNCT
ejpam-5928	154	27	is	be	AUX
ejpam-5928	154	28	a	a	DET
ejpam-5928	154	29	bs	bs	NOUN
ejpam-5928	154	30	set	set	NOUN
ejpam-5928	154	31	defined	define	VERB
ejpam-5928	154	32	as	as	ADP
ejpam-5928	154	33	follows	follow	VERB
ejpam-5928	154	34	(	(	PUNCT
ejpam-5928	154	35	ζ̈,φ	ζ̈,φ	NOUN
ejpam-5928	154	36	,	,	PUNCT
ejpam-5928	154	37	µ	µ	NOUN
ejpam-5928	154	38	)	)	PUNCT
ejpam-5928	154	39	=	=	PRON
ejpam-5928	154	40	{	{	PUNCT
ejpam-5928	154	41	(	(	PUNCT
ejpam-5928	154	42	ϑ	ϑ	X
ejpam-5928	154	43	,	,	PUNCT
ejpam-5928	154	44	{	{	PUNCT
ejpam-5928	154	45	ϵ1	ϵ1	ADJ
ejpam-5928	154	46	}	}	PUNCT
ejpam-5928	154	47	,	,	PUNCT
ejpam-5928	154	48	ϕ	ϕ	NOUN
ejpam-5928	154	49	)	)	PUNCT
ejpam-5928	154	50	}	}	PUNCT
ejpam-5928	154	51	.	.	PUNCT
ejpam-5928	155	1	then	then	ADV
ejpam-5928	155	2	¬m̃	¬m̃	ADV
ejpam-5928	155	3	=	=	SYM
ejpam-5928	155	4	{	{	PUNCT
ejpam-5928	155	5	(	(	PUNCT
ejpam-5928	155	6	φ	φ	PROPN
ejpam-5928	155	7	,	,	PUNCT
ejpam-5928	155	8	µ	µ	NOUN
ejpam-5928	155	9	)	)	PUNCT
ejpam-5928	155	10	,	,	PUNCT
ejpam-5928	155	11	(	(	PUNCT
ejpam-5928	155	12	˜̃π	˜̃π	NOUN
ejpam-5928	155	13	,	,	PUNCT
ejpam-5928	155	14	µ	µ	NOUN
ejpam-5928	155	15	)	)	PUNCT
ejpam-5928	155	16	}	}	PUNCT
ejpam-5928	155	17	is	be	AUX
ejpam-5928	155	18	sms	sm	NOUN
ejpam-5928	155	19	defined	define	VERB
ejpam-5928	155	20	on	on	ADP
ejpam-5928	155	21	π	π	PROPN
ejpam-5928	155	22	.	.	PUNCT
ejpam-5928	156	1	meanwhile	meanwhile	ADV
ejpam-5928	156	2	,	,	PUNCT
ejpam-5928	156	3	˜̃m	˜̃m	PROPN
ejpam-5928	156	4	is	be	AUX
ejpam-5928	156	5	not	not	PART
ejpam-5928	156	6	bsms	bsm	NOUN
ejpam-5928	156	7	.	.	PUNCT
ejpam-5928	157	1	r.	r.	PROPN
ejpam-5928	157	2	a.	a.	PROPN
ejpam-5928	157	3	mohammed	mohammed	PROPN
ejpam-5928	157	4	/	/	SYM
ejpam-5928	157	5	eur	eur	PROPN
ejpam-5928	157	6	.	.	PUNCT
ejpam-5928	158	1	j.	j.	PROPN
ejpam-5928	158	2	pure	pure	PROPN
ejpam-5928	158	3	appl	appl	PROPN
ejpam-5928	158	4	.	.	PROPN
ejpam-5928	158	5	math	math	PROPN
ejpam-5928	158	6	,	,	PUNCT
ejpam-5928	158	7	18	18	NUM
ejpam-5928	158	8	(	(	PUNCT
ejpam-5928	158	9	2	2	NUM
ejpam-5928	158	10	)	)	PUNCT
ejpam-5928	158	11	(	(	PUNCT
ejpam-5928	158	12	2025	2025	NUM
ejpam-5928	158	13	)	)	PUNCT
ejpam-5928	158	14	,	,	PUNCT
ejpam-5928	158	15	5928	5928	NUM
ejpam-5928	158	16	7	7	NUM
ejpam-5928	158	17	of	of	ADP
ejpam-5928	158	18	26	26	NUM
ejpam-5928	158	19	definition	definition	NOUN
ejpam-5928	158	20	16	16	NUM
ejpam-5928	158	21	.	.	PUNCT
ejpam-5928	159	1	let	let	VERB
ejpam-5928	159	2	(	(	PUNCT
ejpam-5928	159	3	π	π	X
ejpam-5928	159	4	,	,	PUNCT
ejpam-5928	159	5	˜̃m	˜̃m	PROPN
ejpam-5928	159	6	,	,	PUNCT
ejpam-5928	159	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	159	8	)	)	PUNCT
ejpam-5928	159	9	be	be	VERB
ejpam-5928	159	10	a	a	DET
ejpam-5928	159	11	bsms	bsms	NOUN
ejpam-5928	159	12	and	and	CCONJ
ejpam-5928	159	13	(	(	PUNCT
ejpam-5928	159	14	λ̈	λ̈	PROPN
ejpam-5928	159	15	,	,	PUNCT
ejpam-5928	159	16	ζ̈	ζ̈	PROPN
ejpam-5928	159	17	,	,	PUNCT
ejpam-5928	159	18	µ	µ	NOUN
ejpam-5928	159	19	)	)	PUNCT
ejpam-5928	159	20	˜̃∈	˜̃∈	PROPN
ejpam-5928	159	21	bss(π	bss(π	PROPN
ejpam-5928	159	22	)	)	PUNCT
ejpam-5928	159	23	.	.	PUNCT
ejpam-5928	160	1	the	the	DET
ejpam-5928	160	2	˜̃m	˜̃m	ADJ
ejpam-5928	160	3	-	-	PUNCT
ejpam-5928	160	4	interior	interior	NOUN
ejpam-5928	160	5	of	of	ADP
ejpam-5928	160	6	(	(	PUNCT
ejpam-5928	160	7	λ̈	λ̈	PROPN
ejpam-5928	160	8	,	,	PUNCT
ejpam-5928	160	9	ζ̈	ζ̈	PROPN
ejpam-5928	160	10	,	,	PUNCT
ejpam-5928	160	11	µ	µ	NOUN
ejpam-5928	160	12	)	)	PUNCT
ejpam-5928	160	13	is	be	AUX
ejpam-5928	160	14	the	the	DET
ejpam-5928	160	15	bs	bs	PROPN
ejpam-5928	160	16	union	union	NOUN
ejpam-5928	160	17	of	of	ADP
ejpam-5928	160	18	all	all	DET
ejpam-5928	160	19	˜̃m	˜̃m	ADJ
ejpam-5928	160	20	-	-	PUNCT
ejpam-5928	160	21	open	open	ADJ
ejpam-5928	160	22	subsets	subset	NOUN
ejpam-5928	160	23	of	of	ADP
ejpam-5928	160	24	(	(	PUNCT
ejpam-5928	160	25	λ̈	λ̈	PROPN
ejpam-5928	160	26	,	,	PUNCT
ejpam-5928	160	27	ζ̈	ζ̈	PROPN
ejpam-5928	160	28	,	,	PUNCT
ejpam-5928	160	29	µ	µ	NOUN
ejpam-5928	160	30	)	)	PUNCT
ejpam-5928	160	31	and	and	CCONJ
ejpam-5928	160	32	it	it	PRON
ejpam-5928	160	33	is	be	AUX
ejpam-5928	160	34	denoted	denote	VERB
ejpam-5928	160	35	by	by	ADP
ejpam-5928	160	36	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	160	37	,	,	PUNCT
ejpam-5928	160	38	ζ̈	ζ̈	PROPN
ejpam-5928	160	39	,	,	PUNCT
ejpam-5928	160	40	µ	µ	NOUN
ejpam-5928	160	41	)	)	PUNCT
ejpam-5928	160	42	.	.	PUNCT
ejpam-5928	161	1	properties	property	NOUN
ejpam-5928	161	2	of	of	ADP
ejpam-5928	161	3	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	161	4	,	,	PUNCT
ejpam-5928	161	5	ζ̈	ζ̈	PROPN
ejpam-5928	161	6	,	,	PUNCT
ejpam-5928	161	7	µ	µ	NOUN
ejpam-5928	161	8	)	)	PUNCT
ejpam-5928	161	9	are	be	AUX
ejpam-5928	161	10	as	as	SCONJ
ejpam-5928	161	11	follows	follow	NOUN
ejpam-5928	161	12	.	.	PUNCT
ejpam-5928	162	1	theorem	theorem	NOUN
ejpam-5928	162	2	3	3	X
ejpam-5928	162	3	.	.	PUNCT
ejpam-5928	163	1	let	let	VERB
ejpam-5928	163	2	(	(	PUNCT
ejpam-5928	163	3	π	π	X
ejpam-5928	163	4	,	,	PUNCT
ejpam-5928	163	5	˜̃m	˜̃m	PROPN
ejpam-5928	163	6	,	,	PUNCT
ejpam-5928	163	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	163	8	)	)	PUNCT
ejpam-5928	163	9	be	be	VERB
ejpam-5928	163	10	a	a	DET
ejpam-5928	163	11	bsms	bsms	NOUN
ejpam-5928	163	12	and	and	CCONJ
ejpam-5928	163	13	(	(	PUNCT
ejpam-5928	163	14	λ̈	λ̈	ADJ
ejpam-5928	163	15	,	,	PUNCT
ejpam-5928	163	16	ζ̈	ζ̈	NOUN
ejpam-5928	163	17	,	,	PUNCT
ejpam-5928	163	18	µ),(λ̈1	µ),(λ̈1	NOUN
ejpam-5928	163	19	,	,	PUNCT
ejpam-5928	163	20	ζ̈1	ζ̈1	ADJ
ejpam-5928	163	21	,	,	PUNCT
ejpam-5928	163	22	µ	µ	NOUN
ejpam-5928	163	23	)	)	PUNCT
ejpam-5928	163	24	˜̃∈	˜̃∈	PROPN
ejpam-5928	163	25	bss(π	bss(π	PROPN
ejpam-5928	163	26	)	)	PUNCT
ejpam-5928	163	27	.	.	PUNCT
ejpam-5928	164	1	then	then	ADV
ejpam-5928	164	2	(	(	PUNCT
ejpam-5928	164	3	i	i	NOUN
ejpam-5928	164	4	)	)	PUNCT
ejpam-5928	164	5	˜̃mint	˜̃mint	PROPN
ejpam-5928	164	6	(	(	PUNCT
ejpam-5928	164	7	φ	φ	NOUN
ejpam-5928	164	8	,	,	PUNCT
ejpam-5928	164	9	˜̃	˜̃	NOUN
ejpam-5928	164	10	π	π	PROPN
ejpam-5928	164	11	,	,	PUNCT
ejpam-5928	164	12	µ	µ	NOUN
ejpam-5928	164	13	)	)	PUNCT
ejpam-5928	164	14	=	=	SYM
ejpam-5928	164	15	(	(	PUNCT
ejpam-5928	164	16	φ	φ	PROPN
ejpam-5928	164	17	,	,	PUNCT
ejpam-5928	164	18	˜̃	˜̃	NOUN
ejpam-5928	164	19	π	π	PROPN
ejpam-5928	164	20	,	,	PUNCT
ejpam-5928	164	21	µ	µ	NOUN
ejpam-5928	164	22	)	)	PUNCT
ejpam-5928	164	23	and	and	CCONJ
ejpam-5928	164	24	˜̃mint	˜̃mint	NUM
ejpam-5928	164	25	(	(	PUNCT
ejpam-5928	164	26	˜̃	˜̃	NOUN
ejpam-5928	164	27	π	π	PROPN
ejpam-5928	164	28	,	,	PUNCT
ejpam-5928	164	29	φ	φ	PROPN
ejpam-5928	164	30	,	,	PUNCT
ejpam-5928	164	31	µ	µ	NOUN
ejpam-5928	164	32	)	)	PUNCT
ejpam-5928	164	33	=	=	SYM
ejpam-5928	164	34	(	(	PUNCT
ejpam-5928	164	35	˜̃	˜̃	NOUN
ejpam-5928	164	36	π	π	PROPN
ejpam-5928	164	37	,	,	PUNCT
ejpam-5928	164	38	φ	φ	PROPN
ejpam-5928	164	39	,	,	PUNCT
ejpam-5928	164	40	µ	µ	NOUN
ejpam-5928	164	41	)	)	PUNCT
ejpam-5928	164	42	.	.	PUNCT
ejpam-5928	165	1	(	(	PUNCT
ejpam-5928	165	2	ii	ii	NOUN
ejpam-5928	165	3	)	)	PUNCT
ejpam-5928	165	4	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	165	5	,	,	PUNCT
ejpam-5928	165	6	ζ̈	ζ̈	PROPN
ejpam-5928	165	7	,	,	PUNCT
ejpam-5928	165	8	µ	µ	NOUN
ejpam-5928	165	9	)	)	PUNCT
ejpam-5928	165	10	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	165	11	(	(	PUNCT
ejpam-5928	165	12	λ̈	λ̈	PROPN
ejpam-5928	165	13	,	,	PUNCT
ejpam-5928	165	14	ζ̈	ζ̈	PROPN
ejpam-5928	165	15	,	,	PUNCT
ejpam-5928	165	16	µ	µ	NOUN
ejpam-5928	165	17	)	)	PUNCT
ejpam-5928	165	18	.	.	PUNCT
ejpam-5928	166	1	(	(	PUNCT
ejpam-5928	166	2	iii	iii	X
ejpam-5928	166	3	)	)	PUNCT
ejpam-5928	166	4	if	if	SCONJ
ejpam-5928	166	5	(	(	PUNCT
ejpam-5928	166	6	λ̈	λ̈	NOUN
ejpam-5928	166	7	,	,	PUNCT
ejpam-5928	166	8	ζ̈	ζ̈	PROPN
ejpam-5928	166	9	,	,	PUNCT
ejpam-5928	166	10	µ	µ	NOUN
ejpam-5928	166	11	)	)	PUNCT
ejpam-5928	166	12	is	be	AUX
ejpam-5928	166	13	˜̃m	˜̃m	ADV
ejpam-5928	166	14	-	-	ADJ
ejpam-5928	166	15	open	open	ADJ
ejpam-5928	166	16	,	,	PUNCT
ejpam-5928	166	17	then	then	ADV
ejpam-5928	166	18	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	166	19	,	,	PUNCT
ejpam-5928	166	20	ζ̈	ζ̈	PROPN
ejpam-5928	166	21	,	,	PUNCT
ejpam-5928	166	22	µ	µ	NOUN
ejpam-5928	166	23	)	)	PUNCT
ejpam-5928	166	24	=	=	PUNCT
ejpam-5928	166	25	(	(	PUNCT
ejpam-5928	166	26	λ̈	λ̈	PROPN
ejpam-5928	166	27	,	,	PUNCT
ejpam-5928	166	28	ζ̈	ζ̈	PROPN
ejpam-5928	166	29	,	,	PUNCT
ejpam-5928	166	30	µ	µ	NOUN
ejpam-5928	166	31	)	)	PUNCT
ejpam-5928	166	32	.	.	PUNCT
ejpam-5928	167	1	(	(	PUNCT
ejpam-5928	167	2	iv	iv	X
ejpam-5928	167	3	)	)	PUNCT
ejpam-5928	167	4	˜̃mint	˜̃mint	PROPN
ejpam-5928	167	5	(	(	PUNCT
ejpam-5928	167	6	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	167	7	,	,	PUNCT
ejpam-5928	167	8	ζ̈	ζ̈	PROPN
ejpam-5928	167	9	,	,	PUNCT
ejpam-5928	167	10	µ	µ	NOUN
ejpam-5928	167	11	)	)	PUNCT
ejpam-5928	167	12	)	)	PUNCT
ejpam-5928	168	1	=	=	SYM
ejpam-5928	168	2	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	168	3	,	,	PUNCT
ejpam-5928	168	4	ζ̈	ζ̈	PROPN
ejpam-5928	168	5	,	,	PUNCT
ejpam-5928	168	6	µ	µ	NOUN
ejpam-5928	168	7	)	)	PUNCT
ejpam-5928	168	8	.	.	PUNCT
ejpam-5928	169	1	(	(	PUNCT
ejpam-5928	169	2	v	v	NOUN
ejpam-5928	169	3	)	)	PUNCT
ejpam-5928	169	4	if	if	SCONJ
ejpam-5928	169	5	(	(	PUNCT
ejpam-5928	169	6	λ̈	λ̈	NOUN
ejpam-5928	169	7	,	,	PUNCT
ejpam-5928	169	8	ζ̈	ζ̈	PROPN
ejpam-5928	169	9	,	,	PUNCT
ejpam-5928	169	10	µ	µ	NOUN
ejpam-5928	169	11	)	)	PUNCT
ejpam-5928	169	12	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	169	13	(	(	PUNCT
ejpam-5928	169	14	λ̈1	λ̈1	PROPN
ejpam-5928	169	15	,	,	PUNCT
ejpam-5928	169	16	ζ̈1	ζ̈1	ADJ
ejpam-5928	169	17	,	,	PUNCT
ejpam-5928	169	18	µ	µ	NOUN
ejpam-5928	169	19	)	)	PUNCT
ejpam-5928	169	20	,	,	PUNCT
ejpam-5928	169	21	then	then	ADV
ejpam-5928	169	22	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	169	23	,	,	PUNCT
ejpam-5928	169	24	ζ̈	ζ̈	PROPN
ejpam-5928	169	25	,	,	PUNCT
ejpam-5928	169	26	µ	µ	NOUN
ejpam-5928	169	27	)	)	PUNCT
ejpam-5928	169	28	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	169	29	˜̃mint(λ̈1	˜̃mint(λ̈1	PROPN
ejpam-5928	169	30	,	,	PUNCT
ejpam-5928	169	31	ζ̈1	ζ̈1	ADJ
ejpam-5928	169	32	,	,	PUNCT
ejpam-5928	169	33	µ	µ	NOUN
ejpam-5928	169	34	)	)	PUNCT
ejpam-5928	169	35	.	.	PUNCT
ejpam-5928	170	1	(	(	PUNCT
ejpam-5928	170	2	vi	vi	NOUN
ejpam-5928	170	3	)	)	PUNCT
ejpam-5928	170	4	˜̃mint((λ̈	˜̃mint((λ̈	PROPN
ejpam-5928	170	5	,	,	PUNCT
ejpam-5928	170	6	ζ̈	ζ̈	PROPN
ejpam-5928	170	7	,	,	PUNCT
ejpam-5928	170	8	µ	µ	NOUN
ejpam-5928	170	9	)	)	PUNCT
ejpam-5928	170	10	˜̃∩	˜̃∩	ADV
ejpam-5928	170	11	(	(	PUNCT
ejpam-5928	170	12	λ̈1	λ̈1	PROPN
ejpam-5928	170	13	,	,	PUNCT
ejpam-5928	170	14	ζ̈1	ζ̈1	ADJ
ejpam-5928	170	15	,	,	PUNCT
ejpam-5928	170	16	µ	µ	NOUN
ejpam-5928	170	17	)	)	PUNCT
ejpam-5928	170	18	)	)	PUNCT
ejpam-5928	171	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	171	2	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	171	3	,	,	PUNCT
ejpam-5928	171	4	ζ̈	ζ̈	PROPN
ejpam-5928	171	5	,	,	PUNCT
ejpam-5928	171	6	µ	µ	NOUN
ejpam-5928	171	7	)	)	PUNCT
ejpam-5928	171	8	˜̃∩	˜̃∩	ADV
ejpam-5928	171	9	˜̃mint(λ̈1	˜̃mint(λ̈1	PROPN
ejpam-5928	171	10	,	,	PUNCT
ejpam-5928	171	11	ζ̈1	ζ̈1	ADJ
ejpam-5928	171	12	,	,	PUNCT
ejpam-5928	171	13	µ	µ	NOUN
ejpam-5928	171	14	)	)	PUNCT
ejpam-5928	171	15	.	.	PUNCT
ejpam-5928	172	1	(	(	PUNCT
ejpam-5928	172	2	vii	vii	PROPN
ejpam-5928	172	3	)	)	PUNCT
ejpam-5928	172	4	˜̃mint((λ̈	˜̃mint((λ̈	PROPN
ejpam-5928	172	5	,	,	PUNCT
ejpam-5928	172	6	ζ̈	ζ̈	PROPN
ejpam-5928	172	7	,	,	PUNCT
ejpam-5928	172	8	µ	µ	NOUN
ejpam-5928	172	9	)	)	PUNCT
ejpam-5928	172	10	˜̃∪	˜̃∪	PROPN
ejpam-5928	172	11	(	(	PUNCT
ejpam-5928	172	12	λ̈1	λ̈1	PROPN
ejpam-5928	172	13	,	,	PUNCT
ejpam-5928	172	14	ζ̈1	ζ̈1	ADJ
ejpam-5928	172	15	,	,	PUNCT
ejpam-5928	172	16	µ	µ	NOUN
ejpam-5928	172	17	)	)	PUNCT
ejpam-5928	172	18	)	)	PUNCT
ejpam-5928	172	19	˜̃⊇	˜̃⊇	ADP
ejpam-5928	172	20	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	172	21	,	,	PUNCT
ejpam-5928	172	22	ζ̈	ζ̈	PROPN
ejpam-5928	172	23	,	,	PUNCT
ejpam-5928	172	24	µ	µ	NOUN
ejpam-5928	172	25	)	)	PUNCT
ejpam-5928	172	26	˜̃∪	˜̃∪	PROPN
ejpam-5928	172	27	˜̃mint(λ̈1	˜̃mint(λ̈1	NOUN
ejpam-5928	172	28	,	,	PUNCT
ejpam-5928	172	29	ζ̈1	ζ̈1	ADJ
ejpam-5928	172	30	,	,	PUNCT
ejpam-5928	172	31	µ	µ	NOUN
ejpam-5928	172	32	)	)	PUNCT
ejpam-5928	172	33	.	.	PUNCT
ejpam-5928	173	1	proof	proof	NOUN
ejpam-5928	173	2	.	.	PUNCT
ejpam-5928	174	1	(	(	PUNCT
ejpam-5928	174	2	i	i	NOUN
ejpam-5928	174	3	)	)	PUNCT
ejpam-5928	174	4	,	,	PUNCT
ejpam-5928	174	5	(	(	PUNCT
ejpam-5928	174	6	iv	iv	X
ejpam-5928	174	7	)	)	PUNCT
ejpam-5928	174	8	,	,	PUNCT
ejpam-5928	174	9	(	(	PUNCT
ejpam-5928	174	10	v	v	NOUN
ejpam-5928	174	11	)	)	PUNCT
ejpam-5928	174	12	,	,	PUNCT
ejpam-5928	174	13	(	(	PUNCT
ejpam-5928	174	14	vi	vi	NOUN
ejpam-5928	174	15	)	)	PUNCT
ejpam-5928	174	16	and	and	CCONJ
ejpam-5928	174	17	(	(	PUNCT
ejpam-5928	174	18	vii	vii	PROPN
ejpam-5928	174	19	)	)	PUNCT
ejpam-5928	174	20	obvious	obvious	ADJ
ejpam-5928	174	21	.	.	PUNCT
ejpam-5928	175	1	(	(	PUNCT
ejpam-5928	175	2	ii	ii	NOUN
ejpam-5928	175	3	)	)	PUNCT
ejpam-5928	175	4	since	since	SCONJ
ejpam-5928	175	5	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	175	6	,	,	PUNCT
ejpam-5928	175	7	ζ̈	ζ̈	PROPN
ejpam-5928	175	8	,	,	PUNCT
ejpam-5928	175	9	µ	µ	NOUN
ejpam-5928	175	10	)	)	PUNCT
ejpam-5928	175	11	=	=	SYM
ejpam-5928	175	12	˜̃⋃{(λ̈j	˜̃⋃{(λ̈j	PROPN
ejpam-5928	175	13	,	,	PUNCT
ejpam-5928	175	14	ζ̈j	ζ̈j	PROPN
ejpam-5928	175	15	,	,	PUNCT
ejpam-5928	175	16	µ	µ	NOUN
ejpam-5928	175	17	)	)	PUNCT
ejpam-5928	175	18	:	:	PUNCT
ejpam-5928	175	19	(	(	PUNCT
ejpam-5928	175	20	λ̈j	λ̈j	X
ejpam-5928	175	21	,	,	PUNCT
ejpam-5928	175	22	ζ̈j	ζ̈j	PROPN
ejpam-5928	175	23	,	,	PUNCT
ejpam-5928	175	24	µ	µ	NOUN
ejpam-5928	175	25	)	)	PUNCT
ejpam-5928	175	26	˜̃∈	˜̃∈	PROPN
ejpam-5928	175	27	˜̃m	˜̃m	PROPN
ejpam-5928	175	28	,	,	PUNCT
ejpam-5928	175	29	(	(	PUNCT
ejpam-5928	175	30	λ̈j	λ̈j	X
ejpam-5928	175	31	,	,	PUNCT
ejpam-5928	175	32	ζ̈j	ζ̈j	PROPN
ejpam-5928	175	33	,	,	PUNCT
ejpam-5928	175	34	µ	µ	NOUN
ejpam-5928	175	35	)	)	PUNCT
ejpam-5928	175	36	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	175	37	(	(	PUNCT
ejpam-5928	175	38	λ̈	λ̈	PROPN
ejpam-5928	175	39	,	,	PUNCT
ejpam-5928	175	40	ζ̈	ζ̈	PROPN
ejpam-5928	175	41	,	,	PUNCT
ejpam-5928	175	42	µ	µ	NOUN
ejpam-5928	175	43	)	)	PUNCT
ejpam-5928	175	44	,	,	PUNCT
ejpam-5928	175	45	j	j	PROPN
ejpam-5928	175	46	∈	∈	PROPN
ejpam-5928	175	47	j	j	PROPN
ejpam-5928	175	48	}	}	PUNCT
ejpam-5928	175	49	.	.	PUNCT
ejpam-5928	176	1	then	then	ADV
ejpam-5928	176	2	λ̈j(ϑ	λ̈j(ϑ	PROPN
ejpam-5928	176	3	)	)	PUNCT
ejpam-5928	176	4	⊆	⊆	NUM
ejpam-5928	176	5	λ̈(ϑ	λ̈(ϑ	NUM
ejpam-5928	176	6	)	)	PUNCT
ejpam-5928	176	7	and	and	CCONJ
ejpam-5928	176	8	ζ̈(¬ϑ	ζ̈(¬ϑ	ADJ
ejpam-5928	176	9	)	)	PUNCT
ejpam-5928	176	10	⊆	⊆	NUM
ejpam-5928	176	11	ζ̈j(¬ϑ	ζ̈j(¬ϑ	NOUN
ejpam-5928	176	12	)	)	PUNCT
ejpam-5928	176	13	for	for	ADP
ejpam-5928	176	14	all	all	DET
ejpam-5928	176	15	j	j	PROPN
ejpam-5928	176	16	∈	∈	PROPN
ejpam-5928	176	17	j	j	PROPN
ejpam-5928	176	18	.	.	PUNCT
ejpam-5928	177	1	so	so	ADV
ejpam-5928	177	2	,	,	PUNCT
ejpam-5928	177	3	⋃	⋃	NOUN
ejpam-5928	177	4	j∈j	j∈j	NOUN
ejpam-5928	177	5	λ̈j(ϑ	λ̈j(ϑ	PROPN
ejpam-5928	177	6	)	)	PUNCT
ejpam-5928	177	7	⊆	⊆	NUM
ejpam-5928	177	8	λ̈(ϑ	λ̈(ϑ	NUM
ejpam-5928	177	9	)	)	PUNCT
ejpam-5928	177	10	and	and	CCONJ
ejpam-5928	177	11	ζ̈(¬ϑ	ζ̈(¬ϑ	ADJ
ejpam-5928	177	12	)	)	PUNCT
ejpam-5928	177	13	⊆	⊆	NUM
ejpam-5928	177	14	⋂	⋂	PROPN
ejpam-5928	177	15	j∈j	j∈j	NOUN
ejpam-5928	177	16	ζ̈j(¬ϑ	ζ̈j(¬ϑ	PROPN
ejpam-5928	177	17	)	)	PUNCT
ejpam-5928	177	18	.	.	PUNCT
ejpam-5928	178	1	therefore	therefore	ADV
ejpam-5928	178	2	,	,	PUNCT
ejpam-5928	178	3	˜̃mint	˜̃mint	PROPN
ejpam-5928	178	4	(	(	PUNCT
ejpam-5928	178	5	λ̈	λ̈	PROPN
ejpam-5928	178	6	,	,	PUNCT
ejpam-5928	178	7	ζ̈	ζ̈	PROPN
ejpam-5928	178	8	,	,	PUNCT
ejpam-5928	178	9	µ	µ	NOUN
ejpam-5928	178	10	)	)	PUNCT
ejpam-5928	178	11	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	178	12	(	(	PUNCT
ejpam-5928	178	13	λ̈	λ̈	PROPN
ejpam-5928	178	14	,	,	PUNCT
ejpam-5928	178	15	ζ̈	ζ̈	PROPN
ejpam-5928	178	16	,	,	PUNCT
ejpam-5928	178	17	µ	µ	NOUN
ejpam-5928	178	18	)	)	PUNCT
ejpam-5928	178	19	.	.	PUNCT
ejpam-5928	179	1	(	(	PUNCT
ejpam-5928	179	2	iii	iii	X
ejpam-5928	179	3	)	)	PUNCT
ejpam-5928	179	4	let	let	AUX
ejpam-5928	179	5	(	(	PUNCT
ejpam-5928	179	6	λ̈	λ̈	ADJ
ejpam-5928	179	7	,	,	PUNCT
ejpam-5928	179	8	ζ̈	ζ̈	PROPN
ejpam-5928	179	9	,	,	PUNCT
ejpam-5928	179	10	µ	µ	NOUN
ejpam-5928	179	11	)	)	PUNCT
ejpam-5928	179	12	be	be	AUX
ejpam-5928	179	13	a	a	DET
ejpam-5928	179	14	˜̃m	˜̃m	ADV
ejpam-5928	179	15	-	-	PUNCT
ejpam-5928	179	16	open	open	ADJ
ejpam-5928	179	17	set	set	NOUN
ejpam-5928	179	18	.	.	PUNCT
ejpam-5928	180	1	then	then	ADV
ejpam-5928	180	2	(	(	PUNCT
ejpam-5928	180	3	λ̈	λ̈	ADJ
ejpam-5928	180	4	,	,	PUNCT
ejpam-5928	180	5	ζ̈	ζ̈	PROPN
ejpam-5928	180	6	,	,	PUNCT
ejpam-5928	180	7	µ	µ	NOUN
ejpam-5928	180	8	)	)	PUNCT
ejpam-5928	180	9	is	be	AUX
ejpam-5928	180	10	the	the	DET
ejpam-5928	180	11	bs	bs	PROPN
ejpam-5928	180	12	union	union	NOUN
ejpam-5928	180	13	of	of	ADP
ejpam-5928	180	14	all	all	DET
ejpam-5928	180	15	˜̃m	˜̃m	ADJ
ejpam-5928	180	16	-	-	PUNCT
ejpam-5928	180	17	open	open	ADJ
ejpam-5928	180	18	sets	set	NOUN
ejpam-5928	180	19	of	of	ADP
ejpam-5928	180	20	(	(	PUNCT
ejpam-5928	180	21	λ̈	λ̈	PROPN
ejpam-5928	180	22	,	,	PUNCT
ejpam-5928	180	23	ζ̈	ζ̈	PROPN
ejpam-5928	180	24	,	,	PUNCT
ejpam-5928	180	25	µ	µ	NOUN
ejpam-5928	180	26	)	)	PUNCT
ejpam-5928	180	27	.	.	PUNCT
ejpam-5928	181	1	from	from	ADP
ejpam-5928	181	2	(	(	PUNCT
ejpam-5928	181	3	ii	ii	NOUN
ejpam-5928	181	4	)	)	PUNCT
ejpam-5928	181	5	,	,	PUNCT
ejpam-5928	181	6	we	we	PRON
ejpam-5928	181	7	have	have	VERB
ejpam-5928	181	8	˜̃mint	˜̃mint	PROPN
ejpam-5928	181	9	(	(	PUNCT
ejpam-5928	181	10	λ̈	λ̈	ADJ
ejpam-5928	181	11	,	,	PUNCT
ejpam-5928	181	12	ζ̈	ζ̈	PROPN
ejpam-5928	181	13	,	,	PUNCT
ejpam-5928	181	14	µ	µ	NOUN
ejpam-5928	181	15	)	)	PUNCT
ejpam-5928	181	16	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	181	17	(	(	PUNCT
ejpam-5928	181	18	λ̈	λ̈	PROPN
ejpam-5928	181	19	,	,	PUNCT
ejpam-5928	181	20	ζ̈	ζ̈	PROPN
ejpam-5928	181	21	,	,	PUNCT
ejpam-5928	181	22	µ	µ	NOUN
ejpam-5928	181	23	)	)	PUNCT
ejpam-5928	181	24	.	.	PUNCT
ejpam-5928	182	1	therefore	therefore	ADV
ejpam-5928	182	2	,	,	PUNCT
ejpam-5928	182	3	˜̃mint	˜̃mint	PROPN
ejpam-5928	182	4	(	(	PUNCT
ejpam-5928	182	5	λ̈	λ̈	PROPN
ejpam-5928	182	6	,	,	PUNCT
ejpam-5928	182	7	ζ̈	ζ̈	PROPN
ejpam-5928	182	8	,	,	PUNCT
ejpam-5928	182	9	µ	µ	NOUN
ejpam-5928	182	10	)	)	PUNCT
ejpam-5928	182	11	=	=	PUNCT
ejpam-5928	182	12	(	(	PUNCT
ejpam-5928	182	13	λ̈	λ̈	PROPN
ejpam-5928	182	14	,	,	PUNCT
ejpam-5928	182	15	ζ̈	ζ̈	PROPN
ejpam-5928	182	16	,	,	PUNCT
ejpam-5928	182	17	µ	µ	NOUN
ejpam-5928	182	18	)	)	PUNCT
ejpam-5928	182	19	.	.	PUNCT
ejpam-5928	183	1	the	the	DET
ejpam-5928	183	2	converse	converse	NOUN
ejpam-5928	183	3	of	of	ADP
ejpam-5928	183	4	point	point	NOUN
ejpam-5928	183	5	(	(	PUNCT
ejpam-5928	183	6	iii	iii	NOUN
ejpam-5928	183	7	)	)	PUNCT
ejpam-5928	183	8	in	in	ADP
ejpam-5928	183	9	theorem	theorem	NOUN
ejpam-5928	183	10	3	3	NUM
ejpam-5928	183	11	is	be	AUX
ejpam-5928	183	12	not	not	PART
ejpam-5928	183	13	true	true	ADJ
ejpam-5928	183	14	in	in	ADP
ejpam-5928	183	15	general	general	ADJ
ejpam-5928	183	16	and	and	CCONJ
ejpam-5928	183	17	the	the	DET
ejpam-5928	183	18	equality	equality	NOUN
ejpam-5928	183	19	of	of	ADP
ejpam-5928	183	20	parts	part	NOUN
ejpam-5928	183	21	(	(	PUNCT
ejpam-5928	183	22	vi	vi	NOUN
ejpam-5928	183	23	)	)	PUNCT
ejpam-5928	183	24	and	and	CCONJ
ejpam-5928	183	25	(	(	PUNCT
ejpam-5928	183	26	vii	vii	PROPN
ejpam-5928	183	27	)	)	PUNCT
ejpam-5928	183	28	in	in	ADP
ejpam-5928	183	29	theorem	theorem	NOUN
ejpam-5928	183	30	3	3	NUM
ejpam-5928	183	31	do	do	AUX
ejpam-5928	183	32	not	not	PART
ejpam-5928	183	33	hold	hold	VERB
ejpam-5928	183	34	as	as	SCONJ
ejpam-5928	183	35	shown	show	VERB
ejpam-5928	183	36	in	in	ADP
ejpam-5928	183	37	the	the	DET
ejpam-5928	183	38	example	example	NOUN
ejpam-5928	183	39	below	below	ADV
ejpam-5928	183	40	.	.	PUNCT
ejpam-5928	184	1	example	example	NOUN
ejpam-5928	185	1	3	3	X
ejpam-5928	185	2	.	.	PUNCT
ejpam-5928	185	3	let	let	VERB
ejpam-5928	186	1	π	π	NOUN
ejpam-5928	186	2	=	=	PUNCT
ejpam-5928	186	3	{	{	PUNCT
ejpam-5928	186	4	ϵ1	ϵ1	ADJ
ejpam-5928	186	5	,	,	PUNCT
ejpam-5928	186	6	ϵ2	ϵ2	ADJ
ejpam-5928	186	7	,	,	PUNCT
ejpam-5928	186	8	ϵ3	ϵ3	PROPN
ejpam-5928	186	9	}	}	PUNCT
ejpam-5928	186	10	,	,	PUNCT
ejpam-5928	186	11	µ	µ	X
ejpam-5928	186	12	=	=	PUNCT
ejpam-5928	186	13	{	{	PUNCT
ejpam-5928	186	14	ϑ	ϑ	NOUN
ejpam-5928	186	15	}	}	PUNCT
ejpam-5928	186	16	and˜̃m	and˜̃m	ADJ
ejpam-5928	186	17	=	=	SYM
ejpam-5928	186	18	{	{	PUNCT
ejpam-5928	186	19	(	(	PUNCT
ejpam-5928	186	20	φ	φ	PROPN
ejpam-5928	186	21	,	,	PUNCT
ejpam-5928	186	22	˜̃π	˜̃π	NOUN
ejpam-5928	186	23	,	,	PUNCT
ejpam-5928	186	24	µ	µ	NOUN
ejpam-5928	186	25	)	)	PUNCT
ejpam-5928	186	26	,	,	PUNCT
ejpam-5928	186	27	(	(	PUNCT
ejpam-5928	186	28	˜̃	˜̃	NOUN
ejpam-5928	186	29	π	π	PROPN
ejpam-5928	186	30	,	,	PUNCT
ejpam-5928	186	31	φ	φ	PROPN
ejpam-5928	186	32	,	,	PUNCT
ejpam-5928	186	33	µ	µ	NOUN
ejpam-5928	186	34	)	)	PUNCT
ejpam-5928	186	35	,	,	PUNCT
ejpam-5928	186	36	(	(	PUNCT
ejpam-5928	186	37	λ̈1	λ̈1	ADJ
ejpam-5928	186	38	,	,	PUNCT
ejpam-5928	186	39	ζ̈1	ζ̈1	ADJ
ejpam-5928	186	40	,	,	PUNCT
ejpam-5928	186	41	µ	µ	NOUN
ejpam-5928	186	42	)	)	PUNCT
ejpam-5928	186	43	,	,	PUNCT
ejpam-5928	186	44	(	(	PUNCT
ejpam-5928	186	45	λ̈2	λ̈2	NOUN
ejpam-5928	186	46	,	,	PUNCT
ejpam-5928	186	47	ζ̈2	ζ̈2	PROPN
ejpam-5928	186	48	,	,	PUNCT
ejpam-5928	186	49	µ	µ	NOUN
ejpam-5928	186	50	)	)	PUNCT
ejpam-5928	186	51	,	,	PUNCT
ejpam-5928	186	52	(	(	PUNCT
ejpam-5928	186	53	λ̈3	λ̈3	NOUN
ejpam-5928	186	54	,	,	PUNCT
ejpam-5928	186	55	ζ̈3	ζ̈3	PROPN
ejpam-5928	186	56	,	,	PUNCT
ejpam-5928	186	57	µ	µ	NOUN
ejpam-5928	186	58	)	)	PUNCT
ejpam-5928	186	59	}	}	PUNCT
ejpam-5928	186	60	,	,	PUNCT
ejpam-5928	186	61	where	where	SCONJ
ejpam-5928	186	62	(	(	PUNCT
ejpam-5928	186	63	λ̈1	λ̈1	ADJ
ejpam-5928	186	64	,	,	PUNCT
ejpam-5928	186	65	ζ̈1	ζ̈1	ADJ
ejpam-5928	186	66	,	,	PUNCT
ejpam-5928	186	67	µ	µ	NOUN
ejpam-5928	186	68	)	)	PUNCT
ejpam-5928	186	69	=	=	PRON
ejpam-5928	186	70	{	{	PUNCT
ejpam-5928	186	71	(	(	PUNCT
ejpam-5928	186	72	ϑ	ϑ	X
ejpam-5928	186	73	,	,	PUNCT
ejpam-5928	186	74	{	{	PUNCT
ejpam-5928	186	75	ϵ1	ϵ1	ADJ
ejpam-5928	186	76	}	}	PUNCT
ejpam-5928	186	77	,	,	PUNCT
ejpam-5928	186	78	{	{	PUNCT
ejpam-5928	186	79	ϵ2	ϵ2	NOUN
ejpam-5928	186	80	}	}	PUNCT
ejpam-5928	186	81	)	)	PUNCT
ejpam-5928	186	82	}	}	PUNCT
ejpam-5928	186	83	,	,	PUNCT
ejpam-5928	186	84	(	(	PUNCT
ejpam-5928	186	85	λ̈2	λ̈2	NOUN
ejpam-5928	186	86	,	,	PUNCT
ejpam-5928	186	87	ζ̈2	ζ̈2	PROPN
ejpam-5928	186	88	,	,	PUNCT
ejpam-5928	186	89	µ	µ	NOUN
ejpam-5928	186	90	)	)	PUNCT
ejpam-5928	186	91	=	=	PRON
ejpam-5928	186	92	{	{	PUNCT
ejpam-5928	186	93	(	(	PUNCT
ejpam-5928	186	94	ϑ	ϑ	X
ejpam-5928	186	95	,	,	PUNCT
ejpam-5928	186	96	{	{	PUNCT
ejpam-5928	186	97	ϵ1	ϵ1	ADJ
ejpam-5928	186	98	}	}	PUNCT
ejpam-5928	186	99	,	,	PUNCT
ejpam-5928	186	100	{	{	PUNCT
ejpam-5928	186	101	ϵ3	ϵ3	PROPN
ejpam-5928	186	102	}	}	PUNCT
ejpam-5928	186	103	)	)	PUNCT
ejpam-5928	186	104	}	}	PUNCT
ejpam-5928	186	105	,	,	PUNCT
ejpam-5928	186	106	(	(	PUNCT
ejpam-5928	186	107	λ̈3	λ̈3	NOUN
ejpam-5928	186	108	,	,	PUNCT
ejpam-5928	186	109	ζ̈3	ζ̈3	PROPN
ejpam-5928	186	110	,	,	PUNCT
ejpam-5928	186	111	µ	µ	NOUN
ejpam-5928	186	112	)	)	PUNCT
ejpam-5928	186	113	=	=	PRON
ejpam-5928	186	114	{	{	PUNCT
ejpam-5928	186	115	(	(	PUNCT
ejpam-5928	186	116	ϑ	ϑ	X
ejpam-5928	186	117	,	,	PUNCT
ejpam-5928	186	118	{	{	PUNCT
ejpam-5928	186	119	ϵ2	ϵ2	PROPN
ejpam-5928	186	120	}	}	PUNCT
ejpam-5928	186	121	,	,	PUNCT
ejpam-5928	186	122	{	{	PUNCT
ejpam-5928	186	123	ϵ1	ϵ1	ADJ
ejpam-5928	186	124	}	}	PUNCT
ejpam-5928	186	125	)	)	PUNCT
ejpam-5928	186	126	}	}	PUNCT
ejpam-5928	186	127	.	.	PUNCT
ejpam-5928	187	1	for	for	ADP
ejpam-5928	187	2	the	the	DET
ejpam-5928	187	3	converse	converse	NOUN
ejpam-5928	187	4	of	of	ADP
ejpam-5928	187	5	point	point	NOUN
ejpam-5928	187	6	(	(	PUNCT
ejpam-5928	187	7	iii	iii	NOUN
ejpam-5928	187	8	)	)	PUNCT
ejpam-5928	187	9	,	,	PUNCT
ejpam-5928	187	10	let	let	VERB
ejpam-5928	187	11	(	(	PUNCT
ejpam-5928	187	12	λ̈	λ̈	ADJ
ejpam-5928	187	13	,	,	PUNCT
ejpam-5928	187	14	ζ̈	ζ̈	PROPN
ejpam-5928	187	15	,	,	PUNCT
ejpam-5928	187	16	µ	µ	NOUN
ejpam-5928	187	17	)	)	PUNCT
ejpam-5928	187	18	=	=	PRON
ejpam-5928	187	19	{	{	PUNCT
ejpam-5928	187	20	(	(	PUNCT
ejpam-5928	187	21	ϑ	ϑ	X
ejpam-5928	187	22	,	,	PUNCT
ejpam-5928	187	23	{	{	PUNCT
ejpam-5928	187	24	ϵ1	ϵ1	ADJ
ejpam-5928	187	25	}	}	PUNCT
ejpam-5928	187	26	,	,	PUNCT
ejpam-5928	187	27	ϕ	ϕ	NOUN
ejpam-5928	187	28	)	)	PUNCT
ejpam-5928	187	29	}	}	PUNCT
ejpam-5928	187	30	,	,	PUNCT
ejpam-5928	187	31	then˜̃mint(λ̈	then˜̃mint(λ̈	PROPN
ejpam-5928	187	32	,	,	PUNCT
ejpam-5928	187	33	ζ̈	ζ̈	PROPN
ejpam-5928	187	34	,	,	PUNCT
ejpam-5928	187	35	µ	µ	NOUN
ejpam-5928	187	36	)	)	PUNCT
ejpam-5928	188	1	=	=	SYM
ejpam-5928	188	2	˜̃mint{(ϑ	˜̃mint{(ϑ	PROPN
ejpam-5928	188	3	,	,	PUNCT
ejpam-5928	188	4	{	{	PUNCT
ejpam-5928	188	5	ϵ1	ϵ1	ADJ
ejpam-5928	188	6	}	}	PUNCT
ejpam-5928	188	7	,	,	PUNCT
ejpam-5928	188	8	ϕ	ϕ	NOUN
ejpam-5928	188	9	)	)	PUNCT
ejpam-5928	188	10	}	}	PUNCT
ejpam-5928	188	11	=	=	SYM
ejpam-5928	188	12	{	{	PUNCT
ejpam-5928	188	13	(	(	PUNCT
ejpam-5928	188	14	ϑ	ϑ	X
ejpam-5928	188	15	,	,	PUNCT
ejpam-5928	188	16	{	{	PUNCT
ejpam-5928	188	17	ϵ1	ϵ1	ADJ
ejpam-5928	188	18	}	}	PUNCT
ejpam-5928	188	19	,	,	PUNCT
ejpam-5928	188	20	ϕ	ϕ	NOUN
ejpam-5928	188	21	)	)	PUNCT
ejpam-5928	188	22	}	}	PUNCT
ejpam-5928	188	23	.	.	PUNCT
ejpam-5928	189	1	but	but	CCONJ
ejpam-5928	189	2	(	(	PUNCT
ejpam-5928	189	3	λ̈	λ̈	ADJ
ejpam-5928	189	4	,	,	PUNCT
ejpam-5928	189	5	ζ̈	ζ̈	PROPN
ejpam-5928	189	6	,	,	PUNCT
ejpam-5928	189	7	µ	µ	NOUN
ejpam-5928	189	8	)	)	PUNCT
ejpam-5928	189	9	is	be	AUX
ejpam-5928	189	10	not	not	PART
ejpam-5928	189	11	˜̃m	˜̃m	ADV
ejpam-5928	189	12	-	-	PUNCT
ejpam-5928	189	13	open	open	ADJ
ejpam-5928	189	14	.	.	PUNCT
ejpam-5928	190	1	for	for	ADP
ejpam-5928	190	2	the	the	DET
ejpam-5928	190	3	equality	equality	NOUN
ejpam-5928	190	4	of	of	ADP
ejpam-5928	190	5	parts	part	NOUN
ejpam-5928	190	6	(	(	PUNCT
ejpam-5928	190	7	vi	vi	NOUN
ejpam-5928	190	8	)	)	PUNCT
ejpam-5928	190	9	and	and	CCONJ
ejpam-5928	190	10	(	(	PUNCT
ejpam-5928	190	11	vii	vii	PROPN
ejpam-5928	190	12	)	)	PUNCT
ejpam-5928	190	13	,	,	PUNCT
ejpam-5928	190	14	if	if	SCONJ
ejpam-5928	190	15	we	we	PRON
ejpam-5928	190	16	take	take	VERB
ejpam-5928	190	17	(	(	PUNCT
ejpam-5928	190	18	ξ1	ξ1	NOUN
ejpam-5928	190	19	,	,	PUNCT
ejpam-5928	190	20	η1	η1	NOUN
ejpam-5928	190	21	,	,	PUNCT
ejpam-5928	190	22	µ	µ	NOUN
ejpam-5928	190	23	)	)	PUNCT
ejpam-5928	190	24	=	=	PRON
ejpam-5928	190	25	{	{	PUNCT
ejpam-5928	190	26	(	(	PUNCT
ejpam-5928	190	27	ϑ	ϑ	X
ejpam-5928	190	28	,	,	PUNCT
ejpam-5928	190	29	{	{	PUNCT
ejpam-5928	190	30	ϵ1	ϵ1	ADJ
ejpam-5928	190	31	,	,	PUNCT
ejpam-5928	190	32	ϵ2	ϵ2	ADJ
ejpam-5928	190	33	}	}	PUNCT
ejpam-5928	190	34	,	,	PUNCT
ejpam-5928	190	35	{	{	PUNCT
ejpam-5928	190	36	ϵ3	ϵ3	PROPN
ejpam-5928	190	37	}	}	PUNCT
ejpam-5928	190	38	)	)	PUNCT
ejpam-5928	190	39	}	}	PUNCT
ejpam-5928	190	40	and	and	CCONJ
ejpam-5928	190	41	(	(	PUNCT
ejpam-5928	190	42	ξ2	ξ2	ADJ
ejpam-5928	190	43	,	,	PUNCT
ejpam-5928	190	44	η2	η2	PROPN
ejpam-5928	190	45	,	,	PUNCT
ejpam-5928	190	46	µ	µ	NOUN
ejpam-5928	190	47	)	)	PUNCT
ejpam-5928	190	48	=	=	PRON
ejpam-5928	190	49	{	{	PUNCT
ejpam-5928	190	50	(	(	PUNCT
ejpam-5928	190	51	ϑ	ϑ	X
ejpam-5928	190	52	,	,	PUNCT
ejpam-5928	190	53	{	{	PUNCT
ejpam-5928	190	54	ϵ1	ϵ1	ADJ
ejpam-5928	190	55	,	,	PUNCT
ejpam-5928	190	56	ϵ3	ϵ3	PROPN
ejpam-5928	190	57	}	}	PUNCT
ejpam-5928	190	58	,	,	PUNCT
ejpam-5928	190	59	{	{	PUNCT
ejpam-5928	190	60	ϵ2	ϵ2	NOUN
ejpam-5928	190	61	}	}	PUNCT
ejpam-5928	190	62	)	)	PUNCT
ejpam-5928	190	63	}	}	PUNCT
ejpam-5928	190	64	.	.	PUNCT
ejpam-5928	191	1	then	then	ADV
ejpam-5928	191	2	,	,	PUNCT
ejpam-5928	191	3	˜̃mint(ξ1	˜̃mint(ξ1	PROPN
ejpam-5928	191	4	,	,	PUNCT
ejpam-5928	191	5	η1	η1	NOUN
ejpam-5928	191	6	,	,	PUNCT
ejpam-5928	191	7	µ	µ	NOUN
ejpam-5928	191	8	)	)	PUNCT
ejpam-5928	191	9	=	=	SYM
ejpam-5928	191	10	(	(	PUNCT
ejpam-5928	191	11	λ̈2	λ̈2	NOUN
ejpam-5928	191	12	,	,	PUNCT
ejpam-5928	191	13	ζ̈2	ζ̈2	PROPN
ejpam-5928	191	14	,	,	PUNCT
ejpam-5928	191	15	µ	µ	NOUN
ejpam-5928	191	16	)	)	PUNCT
ejpam-5928	191	17	and	and	CCONJ
ejpam-5928	191	18	˜̃mint(ξ2	˜̃mint(ξ2	NOUN
ejpam-5928	191	19	,	,	PUNCT
ejpam-5928	191	20	η2	η2	NOUN
ejpam-5928	191	21	,	,	PUNCT
ejpam-5928	191	22	µ	µ	NOUN
ejpam-5928	191	23	)	)	PUNCT
ejpam-5928	191	24	=	=	SYM
ejpam-5928	191	25	(	(	PUNCT
ejpam-5928	191	26	λ̈1	λ̈1	PROPN
ejpam-5928	191	27	,	,	PUNCT
ejpam-5928	191	28	ζ̈1	ζ̈1	ADJ
ejpam-5928	191	29	,	,	PUNCT
ejpam-5928	191	30	µ	µ	NOUN
ejpam-5928	191	31	)	)	PUNCT
ejpam-5928	191	32	.	.	PUNCT
ejpam-5928	192	1	r.	r.	PROPN
ejpam-5928	192	2	a.	a.	PROPN
ejpam-5928	192	3	mohammed	mohammed	PROPN
ejpam-5928	192	4	/	/	SYM
ejpam-5928	192	5	eur	eur	PROPN
ejpam-5928	192	6	.	.	PUNCT
ejpam-5928	193	1	j.	j.	PROPN
ejpam-5928	193	2	pure	pure	PROPN
ejpam-5928	193	3	appl	appl	PROPN
ejpam-5928	193	4	.	.	PROPN
ejpam-5928	193	5	math	math	PROPN
ejpam-5928	193	6	,	,	PUNCT
ejpam-5928	193	7	18	18	NUM
ejpam-5928	193	8	(	(	PUNCT
ejpam-5928	193	9	2	2	NUM
ejpam-5928	193	10	)	)	PUNCT
ejpam-5928	193	11	(	(	PUNCT
ejpam-5928	193	12	2025	2025	NUM
ejpam-5928	193	13	)	)	PUNCT
ejpam-5928	193	14	,	,	PUNCT
ejpam-5928	193	15	5928	5928	NUM
ejpam-5928	193	16	8	8	NUM
ejpam-5928	193	17	of	of	ADP
ejpam-5928	193	18	26	26	NUM
ejpam-5928	193	19	thus	thus	ADV
ejpam-5928	193	20	,	,	PUNCT
ejpam-5928	193	21	˜̃mint(ξ1	˜̃mint(ξ1	NUM
ejpam-5928	193	22	,	,	PUNCT
ejpam-5928	193	23	η1	η1	NOUN
ejpam-5928	193	24	,	,	PUNCT
ejpam-5928	193	25	µ	µ	NOUN
ejpam-5928	193	26	)	)	PUNCT
ejpam-5928	193	27	˜̃∩	˜̃∩	ADV
ejpam-5928	193	28	˜̃mint(ξ2	˜̃mint(ξ2	NOUN
ejpam-5928	193	29	,	,	PUNCT
ejpam-5928	193	30	η2	η2	NOUN
ejpam-5928	193	31	,	,	PUNCT
ejpam-5928	193	32	µ	µ	NOUN
ejpam-5928	193	33	)	)	PUNCT
ejpam-5928	193	34	=	=	PRON
ejpam-5928	193	35	{	{	PUNCT
ejpam-5928	193	36	(	(	PUNCT
ejpam-5928	193	37	ϑ	ϑ	X
ejpam-5928	193	38	,	,	PUNCT
ejpam-5928	193	39	{	{	PUNCT
ejpam-5928	193	40	ϵ1	ϵ1	ADJ
ejpam-5928	193	41	}	}	PUNCT
ejpam-5928	193	42	,	,	PUNCT
ejpam-5928	193	43	{	{	PUNCT
ejpam-5928	193	44	ϵ2	ϵ2	ADJ
ejpam-5928	193	45	,	,	PUNCT
ejpam-5928	193	46	ϵ3	ϵ3	PROPN
ejpam-5928	193	47	}	}	PUNCT
ejpam-5928	193	48	)	)	PUNCT
ejpam-5928	193	49	}	}	PUNCT
ejpam-5928	193	50	.	.	PUNCT
ejpam-5928	194	1	also	also	ADV
ejpam-5928	194	2	,	,	PUNCT
ejpam-5928	194	3	˜̃mint((ξ1	˜̃mint((ξ1	NOUN
ejpam-5928	194	4	,	,	PUNCT
ejpam-5928	194	5	η1	η1	NOUN
ejpam-5928	194	6	,	,	PUNCT
ejpam-5928	194	7	µ	µ	NOUN
ejpam-5928	194	8	)	)	PUNCT
ejpam-5928	194	9	˜̃∩	˜̃∩	ADV
ejpam-5928	194	10	(	(	PUNCT
ejpam-5928	194	11	ξ2	ξ2	ADJ
ejpam-5928	194	12	,	,	PUNCT
ejpam-5928	194	13	η2	η2	PROPN
ejpam-5928	194	14	,	,	PUNCT
ejpam-5928	194	15	µ	µ	NOUN
ejpam-5928	194	16	)	)	PUNCT
ejpam-5928	194	17	)	)	PUNCT
ejpam-5928	195	1	=	=	SYM
ejpam-5928	195	2	˜̃mint{(ϑ	˜̃mint{(ϑ	PROPN
ejpam-5928	195	3	,	,	PUNCT
ejpam-5928	195	4	{	{	PUNCT
ejpam-5928	195	5	ϵ1	ϵ1	ADJ
ejpam-5928	195	6	}	}	PUNCT
ejpam-5928	195	7	,	,	PUNCT
ejpam-5928	195	8	{	{	PUNCT
ejpam-5928	195	9	ϵ2	ϵ2	ADJ
ejpam-5928	195	10	,	,	PUNCT
ejpam-5928	195	11	ϵ3	ϵ3	PROPN
ejpam-5928	195	12	}	}	PUNCT
ejpam-5928	195	13	)	)	PUNCT
ejpam-5928	195	14	}	}	PUNCT
ejpam-5928	195	15	=	=	SYM
ejpam-5928	195	16	(	(	PUNCT
ejpam-5928	195	17	φ	φ	PROPN
ejpam-5928	195	18	,	,	PUNCT
ejpam-5928	195	19	˜̃	˜̃	NOUN
ejpam-5928	195	20	π	π	PROPN
ejpam-5928	195	21	,	,	PUNCT
ejpam-5928	195	22	µ	µ	NOUN
ejpam-5928	195	23	)	)	PUNCT
ejpam-5928	195	24	.	.	PUNCT
ejpam-5928	196	1	therefore	therefore	ADV
ejpam-5928	196	2	,	,	PUNCT
ejpam-5928	196	3	˜̃mint(ξ1	˜̃mint(ξ1	NOUN
ejpam-5928	196	4	,	,	PUNCT
ejpam-5928	196	5	η1	η1	NOUN
ejpam-5928	196	6	,	,	PUNCT
ejpam-5928	196	7	µ	µ	NOUN
ejpam-5928	196	8	)	)	PUNCT
ejpam-5928	196	9	˜̃∩	˜̃∩	ADV
ejpam-5928	196	10	˜̃mint(ξ2	˜̃mint(ξ2	NOUN
ejpam-5928	196	11	,	,	PUNCT
ejpam-5928	196	12	η2	η2	NOUN
ejpam-5928	196	13	,	,	PUNCT
ejpam-5928	196	14	µ	µ	NOUN
ejpam-5928	196	15	)	)	PUNCT
ejpam-5928	196	16	̸=	̸=	PROPN
ejpam-5928	196	17	˜̃mint((ξ1	˜̃mint((ξ1	NUM
ejpam-5928	196	18	,	,	PUNCT
ejpam-5928	196	19	η1	η1	NOUN
ejpam-5928	196	20	,	,	PUNCT
ejpam-5928	196	21	µ	µ	NOUN
ejpam-5928	196	22	)	)	PUNCT
ejpam-5928	196	23	˜̃∩	˜̃∩	ADV
ejpam-5928	196	24	(	(	PUNCT
ejpam-5928	196	25	ξ2	ξ2	ADJ
ejpam-5928	196	26	,	,	PUNCT
ejpam-5928	196	27	η2	η2	PROPN
ejpam-5928	196	28	,	,	PUNCT
ejpam-5928	196	29	µ	µ	NOUN
ejpam-5928	196	30	)	)	PUNCT
ejpam-5928	196	31	)	)	PUNCT
ejpam-5928	196	32	.	.	PUNCT
ejpam-5928	197	1	now	now	ADV
ejpam-5928	197	2	,	,	PUNCT
ejpam-5928	197	3	˜̃mint(ξ1	˜̃mint(ξ1	NOUN
ejpam-5928	197	4	,	,	PUNCT
ejpam-5928	197	5	η1	η1	NOUN
ejpam-5928	197	6	,	,	PUNCT
ejpam-5928	197	7	µ	µ	NOUN
ejpam-5928	197	8	)	)	PUNCT
ejpam-5928	197	9	˜̃∪	˜̃∪	PROPN
ejpam-5928	197	10	˜̃mint(ξ2	˜̃mint(ξ2	PROPN
ejpam-5928	197	11	,	,	PUNCT
ejpam-5928	197	12	η2	η2	NOUN
ejpam-5928	197	13	,	,	PUNCT
ejpam-5928	197	14	µ	µ	NOUN
ejpam-5928	197	15	)	)	PUNCT
ejpam-5928	197	16	=	=	PRON
ejpam-5928	197	17	{	{	PUNCT
ejpam-5928	197	18	(	(	PUNCT
ejpam-5928	197	19	ϑ	ϑ	X
ejpam-5928	197	20	,	,	PUNCT
ejpam-5928	197	21	{	{	PUNCT
ejpam-5928	197	22	ϵ1	ϵ1	ADJ
ejpam-5928	197	23	}	}	PUNCT
ejpam-5928	197	24	,	,	PUNCT
ejpam-5928	197	25	ϕ	ϕ	NOUN
ejpam-5928	197	26	)	)	PUNCT
ejpam-5928	197	27	}	}	PUNCT
ejpam-5928	197	28	.	.	PUNCT
ejpam-5928	198	1	also	also	ADV
ejpam-5928	198	2	,	,	PUNCT
ejpam-5928	198	3	˜̃mint((ξ1	˜̃mint((ξ1	NOUN
ejpam-5928	198	4	,	,	PUNCT
ejpam-5928	198	5	η1	η1	NOUN
ejpam-5928	198	6	,	,	PUNCT
ejpam-5928	198	7	µ	µ	NOUN
ejpam-5928	198	8	)	)	PUNCT
ejpam-5928	198	9	˜̃∪	˜̃∪	PROPN
ejpam-5928	198	10	(	(	PUNCT
ejpam-5928	198	11	ξ2	ξ2	ADJ
ejpam-5928	198	12	,	,	PUNCT
ejpam-5928	198	13	η2	η2	PROPN
ejpam-5928	198	14	,	,	PUNCT
ejpam-5928	198	15	µ	µ	NOUN
ejpam-5928	198	16	)	)	PUNCT
ejpam-5928	198	17	)	)	PUNCT
ejpam-5928	198	18	=	=	SYM
ejpam-5928	198	19	˜̃mint	˜̃mint	PROPN
ejpam-5928	198	20	(	(	PUNCT
ejpam-5928	198	21	˜̃	˜̃	NOUN
ejpam-5928	198	22	π	π	PROPN
ejpam-5928	198	23	,	,	PUNCT
ejpam-5928	198	24	φ	φ	PROPN
ejpam-5928	198	25	,	,	PUNCT
ejpam-5928	198	26	µ	µ	NOUN
ejpam-5928	198	27	)	)	PUNCT
ejpam-5928	198	28	=	=	SYM
ejpam-5928	198	29	(	(	PUNCT
ejpam-5928	198	30	˜̃	˜̃	NOUN
ejpam-5928	198	31	π	π	PROPN
ejpam-5928	198	32	,	,	PUNCT
ejpam-5928	198	33	φ	φ	PROPN
ejpam-5928	198	34	,	,	PUNCT
ejpam-5928	198	35	µ	µ	NOUN
ejpam-5928	198	36	)	)	PUNCT
ejpam-5928	198	37	.	.	PUNCT
ejpam-5928	199	1	so	so	ADV
ejpam-5928	199	2	,	,	PUNCT
ejpam-5928	199	3	˜̃mint	˜̃mint	PROPN
ejpam-5928	199	4	(	(	PUNCT
ejpam-5928	199	5	(	(	PUNCT
ejpam-5928	199	6	ξ1	ξ1	NOUN
ejpam-5928	199	7	,	,	PUNCT
ejpam-5928	199	8	η1	η1	NOUN
ejpam-5928	199	9	,	,	PUNCT
ejpam-5928	199	10	µ	µ	NOUN
ejpam-5928	199	11	)	)	PUNCT
ejpam-5928	199	12	˜̃∪	˜̃∪	PROPN
ejpam-5928	199	13	(	(	PUNCT
ejpam-5928	199	14	ξ2	ξ2	ADJ
ejpam-5928	199	15	,	,	PUNCT
ejpam-5928	199	16	η2	η2	PROPN
ejpam-5928	199	17	,	,	PUNCT
ejpam-5928	199	18	µ	µ	NOUN
ejpam-5928	199	19	)	)	PUNCT
ejpam-5928	199	20	)	)	PUNCT
ejpam-5928	199	21	̸=	̸=	PROPN
ejpam-5928	199	22	˜̃mint(ξ1	˜̃mint(ξ1	NUM
ejpam-5928	199	23	,	,	PUNCT
ejpam-5928	199	24	η1	η1	NOUN
ejpam-5928	199	25	,	,	PUNCT
ejpam-5928	199	26	µ	µ	NOUN
ejpam-5928	199	27	)	)	PUNCT
ejpam-5928	199	28	˜̃∪	˜̃∪	PROPN
ejpam-5928	199	29	˜̃mint(ξ2	˜̃mint(ξ2	PROPN
ejpam-5928	199	30	,	,	PUNCT
ejpam-5928	199	31	η2	η2	NOUN
ejpam-5928	199	32	,	,	PUNCT
ejpam-5928	199	33	µ	µ	NOUN
ejpam-5928	199	34	)	)	PUNCT
ejpam-5928	199	35	.	.	PUNCT
ejpam-5928	200	1	definition	definition	NOUN
ejpam-5928	200	2	17	17	NUM
ejpam-5928	200	3	.	.	PUNCT
ejpam-5928	201	1	let	let	VERB
ejpam-5928	201	2	(	(	PUNCT
ejpam-5928	201	3	π	π	X
ejpam-5928	201	4	,	,	PUNCT
ejpam-5928	201	5	˜̃m	˜̃m	PROPN
ejpam-5928	201	6	,	,	PUNCT
ejpam-5928	201	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	201	8	)	)	PUNCT
ejpam-5928	201	9	be	be	VERB
ejpam-5928	201	10	a	a	DET
ejpam-5928	201	11	bsms	bsms	NOUN
ejpam-5928	201	12	and	and	CCONJ
ejpam-5928	201	13	(	(	PUNCT
ejpam-5928	201	14	λ̈	λ̈	PROPN
ejpam-5928	201	15	,	,	PUNCT
ejpam-5928	201	16	ζ̈	ζ̈	PROPN
ejpam-5928	201	17	,	,	PUNCT
ejpam-5928	201	18	µ	µ	NOUN
ejpam-5928	201	19	)	)	PUNCT
ejpam-5928	201	20	˜̃∈	˜̃∈	PROPN
ejpam-5928	201	21	bss(π	bss(π	PROPN
ejpam-5928	201	22	)	)	PUNCT
ejpam-5928	201	23	.	.	PUNCT
ejpam-5928	202	1	then	then	ADV
ejpam-5928	202	2	the	the	DET
ejpam-5928	202	3	˜̃m	˜̃m	NOUN
ejpam-5928	202	4	-	-	PUNCT
ejpam-5928	202	5	closure	closure	NOUN
ejpam-5928	202	6	of	of	ADP
ejpam-5928	202	7	(	(	PUNCT
ejpam-5928	202	8	λ̈	λ̈	ADJ
ejpam-5928	202	9	,	,	PUNCT
ejpam-5928	202	10	ζ̈	ζ̈	PROPN
ejpam-5928	202	11	,	,	PUNCT
ejpam-5928	202	12	µ	µ	NOUN
ejpam-5928	202	13	)	)	PUNCT
ejpam-5928	202	14	is	be	AUX
ejpam-5928	202	15	the	the	DET
ejpam-5928	202	16	bs	bs	NOUN
ejpam-5928	202	17	intersection	intersection	NOUN
ejpam-5928	202	18	of	of	ADP
ejpam-5928	202	19	all	all	DET
ejpam-5928	202	20	˜̃m	˜̃m	ADJ
ejpam-5928	202	21	-	-	PUNCT
ejpam-5928	202	22	closed	close	VERB
ejpam-5928	202	23	sets	set	NOUN
ejpam-5928	202	24	containing	contain	VERB
ejpam-5928	202	25	(	(	PUNCT
ejpam-5928	202	26	λ̈	λ̈	ADJ
ejpam-5928	202	27	,	,	PUNCT
ejpam-5928	202	28	ζ̈	ζ̈	PROPN
ejpam-5928	202	29	,	,	PUNCT
ejpam-5928	202	30	µ	µ	NOUN
ejpam-5928	202	31	)	)	PUNCT
ejpam-5928	202	32	and	and	CCONJ
ejpam-5928	202	33	it	it	PRON
ejpam-5928	202	34	is	be	AUX
ejpam-5928	202	35	denoted	denote	VERB
ejpam-5928	202	36	by	by	ADP
ejpam-5928	202	37	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	202	38	,	,	PUNCT
ejpam-5928	202	39	ζ̈	ζ̈	PROPN
ejpam-5928	202	40	,	,	PUNCT
ejpam-5928	202	41	µ	µ	NOUN
ejpam-5928	202	42	)	)	PUNCT
ejpam-5928	202	43	.	.	PUNCT
ejpam-5928	203	1	properties	property	NOUN
ejpam-5928	203	2	of	of	ADP
ejpam-5928	203	3	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	203	4	,	,	PUNCT
ejpam-5928	203	5	ζ̈	ζ̈	PROPN
ejpam-5928	203	6	,	,	PUNCT
ejpam-5928	203	7	µ	µ	NOUN
ejpam-5928	203	8	)	)	PUNCT
ejpam-5928	203	9	are	be	AUX
ejpam-5928	203	10	as	as	SCONJ
ejpam-5928	203	11	follows	follow	NOUN
ejpam-5928	203	12	.	.	PUNCT
ejpam-5928	204	1	theorem	theorem	ADJ
ejpam-5928	204	2	4	4	NUM
ejpam-5928	204	3	.	.	PUNCT
ejpam-5928	205	1	let	let	VERB
ejpam-5928	205	2	(	(	PUNCT
ejpam-5928	205	3	π	π	X
ejpam-5928	205	4	,	,	PUNCT
ejpam-5928	205	5	˜̃m	˜̃m	PROPN
ejpam-5928	205	6	,	,	PUNCT
ejpam-5928	205	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	205	8	)	)	PUNCT
ejpam-5928	205	9	be	be	VERB
ejpam-5928	205	10	a	a	DET
ejpam-5928	205	11	bsms	bsms	NOUN
ejpam-5928	205	12	and	and	CCONJ
ejpam-5928	205	13	(	(	PUNCT
ejpam-5928	205	14	λ̈	λ̈	PROPN
ejpam-5928	205	15	,	,	PUNCT
ejpam-5928	205	16	ζ̈	ζ̈	PROPN
ejpam-5928	205	17	,	,	PUNCT
ejpam-5928	205	18	µ	µ	NOUN
ejpam-5928	205	19	)	)	PUNCT
ejpam-5928	205	20	,	,	PUNCT
ejpam-5928	205	21	(	(	PUNCT
ejpam-5928	205	22	λ̈1	λ̈1	ADJ
ejpam-5928	205	23	,	,	PUNCT
ejpam-5928	205	24	ζ̈1	ζ̈1	ADJ
ejpam-5928	205	25	,	,	PUNCT
ejpam-5928	205	26	µ	µ	NOUN
ejpam-5928	205	27	)	)	PUNCT
ejpam-5928	205	28	˜̃∈	˜̃∈	PROPN
ejpam-5928	205	29	bss(π	bss(π	PROPN
ejpam-5928	205	30	)	)	PUNCT
ejpam-5928	205	31	.	.	PUNCT
ejpam-5928	206	1	then	then	ADV
ejpam-5928	206	2	(	(	PUNCT
ejpam-5928	206	3	i	i	NOUN
ejpam-5928	206	4	)	)	PUNCT
ejpam-5928	206	5	˜̃mcl(φ	˜̃mcl(φ	PROPN
ejpam-5928	206	6	,	,	PUNCT
ejpam-5928	206	7	˜̃	˜̃	NOUN
ejpam-5928	206	8	π	π	PROPN
ejpam-5928	206	9	,	,	PUNCT
ejpam-5928	206	10	µ	µ	NOUN
ejpam-5928	206	11	)	)	PUNCT
ejpam-5928	206	12	=	=	SYM
ejpam-5928	206	13	(	(	PUNCT
ejpam-5928	206	14	φ	φ	PROPN
ejpam-5928	206	15	,	,	PUNCT
ejpam-5928	206	16	˜̃	˜̃	NOUN
ejpam-5928	206	17	π	π	PROPN
ejpam-5928	206	18	,	,	PUNCT
ejpam-5928	206	19	µ	µ	NOUN
ejpam-5928	206	20	)	)	PUNCT
ejpam-5928	206	21	and	and	CCONJ
ejpam-5928	206	22	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	206	23	(	(	PUNCT
ejpam-5928	206	24	˜̃	˜̃	NOUN
ejpam-5928	206	25	π	π	PROPN
ejpam-5928	206	26	,	,	PUNCT
ejpam-5928	206	27	φ	φ	PROPN
ejpam-5928	206	28	,	,	PUNCT
ejpam-5928	206	29	µ	µ	NOUN
ejpam-5928	206	30	)	)	PUNCT
ejpam-5928	206	31	=	=	SYM
ejpam-5928	206	32	(	(	PUNCT
ejpam-5928	206	33	˜̃	˜̃	NOUN
ejpam-5928	206	34	π	π	PROPN
ejpam-5928	206	35	,	,	PUNCT
ejpam-5928	206	36	φ	φ	PROPN
ejpam-5928	206	37	,	,	PUNCT
ejpam-5928	206	38	µ	µ	NOUN
ejpam-5928	206	39	)	)	PUNCT
ejpam-5928	206	40	.	.	PUNCT
ejpam-5928	207	1	(	(	PUNCT
ejpam-5928	207	2	ii	ii	NOUN
ejpam-5928	207	3	)	)	PUNCT
ejpam-5928	207	4	(	(	PUNCT
ejpam-5928	207	5	λ̈	λ̈	PROPN
ejpam-5928	207	6	,	,	PUNCT
ejpam-5928	207	7	ζ̈	ζ̈	PROPN
ejpam-5928	207	8	,	,	PUNCT
ejpam-5928	207	9	µ	µ	NOUN
ejpam-5928	207	10	)	)	PUNCT
ejpam-5928	207	11	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	207	12	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	207	13	,	,	PUNCT
ejpam-5928	207	14	ζ̈	ζ̈	PROPN
ejpam-5928	207	15	,	,	PUNCT
ejpam-5928	207	16	µ	µ	NOUN
ejpam-5928	207	17	)	)	PUNCT
ejpam-5928	207	18	.	.	PUNCT
ejpam-5928	208	1	(	(	PUNCT
ejpam-5928	208	2	iii	iii	X
ejpam-5928	208	3	)	)	PUNCT
ejpam-5928	208	4	if	if	SCONJ
ejpam-5928	208	5	(	(	PUNCT
ejpam-5928	208	6	λ̈	λ̈	NOUN
ejpam-5928	208	7	,	,	PUNCT
ejpam-5928	208	8	ζ̈	ζ̈	PROPN
ejpam-5928	208	9	,	,	PUNCT
ejpam-5928	208	10	µ	µ	NOUN
ejpam-5928	208	11	)	)	PUNCT
ejpam-5928	208	12	is	be	AUX
ejpam-5928	208	13	˜̃m	˜̃m	ADV
ejpam-5928	208	14	-	-	PUNCT
ejpam-5928	208	15	closed	closed	ADJ
ejpam-5928	208	16	,	,	PUNCT
ejpam-5928	208	17	then	then	ADV
ejpam-5928	208	18	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	208	19	,	,	PUNCT
ejpam-5928	208	20	ζ̈	ζ̈	PROPN
ejpam-5928	208	21	,	,	PUNCT
ejpam-5928	208	22	µ	µ	NOUN
ejpam-5928	208	23	)	)	PUNCT
ejpam-5928	208	24	=	=	PUNCT
ejpam-5928	208	25	(	(	PUNCT
ejpam-5928	208	26	λ̈	λ̈	PROPN
ejpam-5928	208	27	,	,	PUNCT
ejpam-5928	208	28	ζ̈	ζ̈	PROPN
ejpam-5928	208	29	,	,	PUNCT
ejpam-5928	208	30	µ	µ	NOUN
ejpam-5928	208	31	)	)	PUNCT
ejpam-5928	208	32	.	.	PUNCT
ejpam-5928	209	1	(	(	PUNCT
ejpam-5928	209	2	iv	iv	X
ejpam-5928	209	3	)	)	PUNCT
ejpam-5928	209	4	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	209	5	(	(	PUNCT
ejpam-5928	209	6	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	209	7	,	,	PUNCT
ejpam-5928	209	8	ζ̈	ζ̈	PROPN
ejpam-5928	209	9	,	,	PUNCT
ejpam-5928	209	10	µ	µ	NOUN
ejpam-5928	209	11	)	)	PUNCT
ejpam-5928	209	12	)	)	PUNCT
ejpam-5928	210	1	=	=	SYM
ejpam-5928	210	2	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	210	3	,	,	PUNCT
ejpam-5928	210	4	ζ̈	ζ̈	PROPN
ejpam-5928	210	5	,	,	PUNCT
ejpam-5928	210	6	µ	µ	NOUN
ejpam-5928	210	7	)	)	PUNCT
ejpam-5928	210	8	.	.	PUNCT
ejpam-5928	211	1	(	(	PUNCT
ejpam-5928	211	2	v	v	NOUN
ejpam-5928	211	3	)	)	PUNCT
ejpam-5928	211	4	if	if	SCONJ
ejpam-5928	211	5	(	(	PUNCT
ejpam-5928	211	6	λ̈	λ̈	NOUN
ejpam-5928	211	7	,	,	PUNCT
ejpam-5928	211	8	ζ̈	ζ̈	PROPN
ejpam-5928	211	9	,	,	PUNCT
ejpam-5928	211	10	µ	µ	NOUN
ejpam-5928	211	11	)	)	PUNCT
ejpam-5928	211	12	˜̃⊆(λ̈1	˜̃⊆(λ̈1	ADJ
ejpam-5928	211	13	,	,	PUNCT
ejpam-5928	211	14	ζ̈1	ζ̈1	ADJ
ejpam-5928	211	15	,	,	PUNCT
ejpam-5928	211	16	µ	µ	NOUN
ejpam-5928	211	17	)	)	PUNCT
ejpam-5928	211	18	,	,	PUNCT
ejpam-5928	211	19	then	then	ADV
ejpam-5928	211	20	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	211	21	,	,	PUNCT
ejpam-5928	211	22	ζ̈	ζ̈	PROPN
ejpam-5928	211	23	,	,	PUNCT
ejpam-5928	211	24	µ	µ	NOUN
ejpam-5928	211	25	)	)	PUNCT
ejpam-5928	211	26	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	211	27	˜̃mcl(λ̈1	˜̃mcl(λ̈1	NOUN
ejpam-5928	211	28	,	,	PUNCT
ejpam-5928	211	29	ζ̈1	ζ̈1	ADJ
ejpam-5928	211	30	,	,	PUNCT
ejpam-5928	211	31	µ	µ	NOUN
ejpam-5928	211	32	)	)	PUNCT
ejpam-5928	211	33	.	.	PUNCT
ejpam-5928	212	1	(	(	PUNCT
ejpam-5928	212	2	vi	vi	NOUN
ejpam-5928	212	3	)	)	PUNCT
ejpam-5928	212	4	˜̃mcl((λ̈	˜̃mcl((λ̈	PROPN
ejpam-5928	212	5	,	,	PUNCT
ejpam-5928	212	6	ζ̈	ζ̈	PROPN
ejpam-5928	212	7	,	,	PUNCT
ejpam-5928	212	8	µ)˜̃∩	µ)˜̃∩	CCONJ
ejpam-5928	212	9	(	(	PUNCT
ejpam-5928	212	10	λ̈1	λ̈1	PROPN
ejpam-5928	212	11	,	,	PUNCT
ejpam-5928	212	12	ζ̈1	ζ̈1	ADJ
ejpam-5928	212	13	,	,	PUNCT
ejpam-5928	212	14	µ	µ	NOUN
ejpam-5928	212	15	)	)	PUNCT
ejpam-5928	212	16	)	)	PUNCT
ejpam-5928	213	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	213	2	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	213	3	,	,	PUNCT
ejpam-5928	213	4	ζ̈	ζ̈	PROPN
ejpam-5928	213	5	,	,	PUNCT
ejpam-5928	213	6	µ	µ	NOUN
ejpam-5928	213	7	)	)	PUNCT
ejpam-5928	213	8	˜̃∩	˜̃∩	ADV
ejpam-5928	213	9	˜̃mcl(λ̈1	˜̃mcl(λ̈1	X
ejpam-5928	213	10	,	,	PUNCT
ejpam-5928	213	11	ζ̈1	ζ̈1	ADJ
ejpam-5928	213	12	,	,	PUNCT
ejpam-5928	213	13	µ	µ	NOUN
ejpam-5928	213	14	)	)	PUNCT
ejpam-5928	213	15	.	.	PUNCT
ejpam-5928	214	1	(	(	PUNCT
ejpam-5928	214	2	vii	vii	PROPN
ejpam-5928	214	3	)	)	PUNCT
ejpam-5928	214	4	˜̃mcl((λ̈	˜̃mcl((λ̈	PROPN
ejpam-5928	214	5	,	,	PUNCT
ejpam-5928	214	6	ζ̈	ζ̈	PROPN
ejpam-5928	214	7	,	,	PUNCT
ejpam-5928	214	8	µ	µ	NOUN
ejpam-5928	214	9	)	)	PUNCT
ejpam-5928	214	10	˜̃∪	˜̃∪	PROPN
ejpam-5928	214	11	(	(	PUNCT
ejpam-5928	214	12	λ̈1	λ̈1	PROPN
ejpam-5928	214	13	,	,	PUNCT
ejpam-5928	214	14	ζ̈1	ζ̈1	ADJ
ejpam-5928	214	15	,	,	PUNCT
ejpam-5928	214	16	µ	µ	NOUN
ejpam-5928	214	17	)	)	PUNCT
ejpam-5928	214	18	˜̃⊇	˜̃⊇	ADP
ejpam-5928	214	19	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	214	20	,	,	PUNCT
ejpam-5928	214	21	ζ̈	ζ̈	PROPN
ejpam-5928	214	22	,	,	PUNCT
ejpam-5928	214	23	µ	µ	NOUN
ejpam-5928	214	24	)	)	PUNCT
ejpam-5928	214	25	˜̃∪	˜̃∪	PROPN
ejpam-5928	214	26	˜̃mcl(λ̈1	˜̃mcl(λ̈1	NOUN
ejpam-5928	214	27	,	,	PUNCT
ejpam-5928	214	28	ζ̈1	ζ̈1	ADJ
ejpam-5928	214	29	,	,	PUNCT
ejpam-5928	214	30	µ	µ	NOUN
ejpam-5928	214	31	)	)	PUNCT
ejpam-5928	214	32	.	.	PUNCT
ejpam-5928	215	1	proof	proof	NOUN
ejpam-5928	215	2	.	.	PUNCT
ejpam-5928	216	1	(	(	PUNCT
ejpam-5928	216	2	i	i	NOUN
ejpam-5928	216	3	)	)	PUNCT
ejpam-5928	216	4	,	,	PUNCT
ejpam-5928	216	5	(	(	PUNCT
ejpam-5928	216	6	iv	iv	X
ejpam-5928	216	7	)	)	PUNCT
ejpam-5928	216	8	,	,	PUNCT
ejpam-5928	216	9	(	(	PUNCT
ejpam-5928	216	10	v	v	NOUN
ejpam-5928	216	11	)	)	PUNCT
ejpam-5928	216	12	,	,	PUNCT
ejpam-5928	216	13	(	(	PUNCT
ejpam-5928	216	14	vi	vi	NOUN
ejpam-5928	216	15	)	)	PUNCT
ejpam-5928	216	16	and	and	CCONJ
ejpam-5928	216	17	(	(	PUNCT
ejpam-5928	216	18	vii	vii	PROPN
ejpam-5928	216	19	)	)	PUNCT
ejpam-5928	216	20	obvious	obvious	ADJ
ejpam-5928	216	21	.	.	PUNCT
ejpam-5928	217	1	(	(	PUNCT
ejpam-5928	217	2	ii	ii	NOUN
ejpam-5928	217	3	)	)	PUNCT
ejpam-5928	217	4	since	since	SCONJ
ejpam-5928	217	5	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	217	6	,	,	PUNCT
ejpam-5928	217	7	ζ̈	ζ̈	PROPN
ejpam-5928	217	8	,	,	PUNCT
ejpam-5928	217	9	µ	µ	NOUN
ejpam-5928	217	10	)	)	PUNCT
ejpam-5928	217	11	=	=	SYM
ejpam-5928	217	12	˜̃⋂{(λ̈i	˜̃⋂{(λ̈i	NOUN
ejpam-5928	217	13	,	,	PUNCT
ejpam-5928	217	14	ζ̈i	ζ̈i	PROPN
ejpam-5928	217	15	,	,	PUNCT
ejpam-5928	217	16	µ	µ	NUM
ejpam-5928	217	17	)	)	PUNCT
ejpam-5928	217	18	:	:	PUNCT
ejpam-5928	217	19	(	(	PUNCT
ejpam-5928	217	20	λ̈i	λ̈i	NOUN
ejpam-5928	217	21	,	,	PUNCT
ejpam-5928	217	22	ζ̈i	ζ̈i	PROPN
ejpam-5928	217	23	,	,	PUNCT
ejpam-5928	217	24	µ	µ	NOUN
ejpam-5928	217	25	)	)	PUNCT
ejpam-5928	217	26	c	c	NOUN
ejpam-5928	217	27	˜̃∈	˜̃∈	PROPN
ejpam-5928	217	28	˜̃m	˜̃m	PROPN
ejpam-5928	217	29	,	,	PUNCT
ejpam-5928	217	30	(	(	PUNCT
ejpam-5928	217	31	λ̈	λ̈	ADJ
ejpam-5928	217	32	,	,	PUNCT
ejpam-5928	217	33	ζ̈	ζ̈	PROPN
ejpam-5928	217	34	,	,	PUNCT
ejpam-5928	217	35	µ	µ	NOUN
ejpam-5928	217	36	)	)	PUNCT
ejpam-5928	217	37	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	217	38	(	(	PUNCT
ejpam-5928	217	39	λ̈i	λ̈i	NOUN
ejpam-5928	217	40	,	,	PUNCT
ejpam-5928	217	41	ζ̈i	ζ̈i	PROPN
ejpam-5928	217	42	,	,	PUNCT
ejpam-5928	217	43	µ	µ	NOUN
ejpam-5928	217	44	)	)	PUNCT
ejpam-5928	217	45	,	,	PUNCT
ejpam-5928	217	46	i	i	PRON
ejpam-5928	217	47	∈	∈	VERB
ejpam-5928	217	48	i	i	PRON
ejpam-5928	217	49	}	}	PUNCT
ejpam-5928	217	50	.	.	PUNCT
ejpam-5928	218	1	then	then	ADV
ejpam-5928	218	2	λ̈(ϑ	λ̈(ϑ	NUM
ejpam-5928	218	3	)	)	PUNCT
ejpam-5928	219	1	⊆	⊆	NUM
ejpam-5928	219	2	λ̈i(ϑ	λ̈i(ϑ	NUM
ejpam-5928	219	3	)	)	PUNCT
ejpam-5928	219	4	and	and	CCONJ
ejpam-5928	219	5	ζ̈i(¬ϑ	ζ̈i(¬ϑ	NUM
ejpam-5928	219	6	)	)	PUNCT
ejpam-5928	220	1	⊆	⊆	NUM
ejpam-5928	220	2	ζ̈(¬ϑ	ζ̈(¬ϑ	NOUN
ejpam-5928	220	3	)	)	PUNCT
ejpam-5928	220	4	for	for	ADP
ejpam-5928	220	5	all	all	DET
ejpam-5928	220	6	i	i	PRON
ejpam-5928	220	7	∈	∈	PROPN
ejpam-5928	220	8	i.	i.	NOUN
ejpam-5928	221	1	so	so	ADV
ejpam-5928	221	2	,	,	PUNCT
ejpam-5928	221	3	λ̈(ϑ	λ̈(ϑ	PROPN
ejpam-5928	221	4	)	)	PUNCT
ejpam-5928	221	5	⊆	⊆	NUM
ejpam-5928	221	6	⋂	⋂	PROPN
ejpam-5928	221	7	i∈i	i∈i	ADJ
ejpam-5928	221	8	ζ̈i(ϑ	ζ̈i(ϑ	NUM
ejpam-5928	221	9	)	)	PUNCT
ejpam-5928	221	10	and	and	CCONJ
ejpam-5928	221	11	⋃	⋃	ADP
ejpam-5928	221	12	i∈i	i∈i	ADJ
ejpam-5928	221	13	ζ̈i(¬ϑ	ζ̈i(¬ϑ	NOUN
ejpam-5928	221	14	)	)	PUNCT
ejpam-5928	221	15	⊆	⊆	NUM
ejpam-5928	221	16	ζ̈(¬ϑ	ζ̈(¬ϑ	NOUN
ejpam-5928	221	17	)	)	PUNCT
ejpam-5928	221	18	.	.	PUNCT
ejpam-5928	222	1	thus	thus	ADV
ejpam-5928	222	2	,	,	PUNCT
ejpam-5928	222	3	(	(	PUNCT
ejpam-5928	222	4	λ̈	λ̈	ADJ
ejpam-5928	222	5	,	,	PUNCT
ejpam-5928	222	6	ζ̈	ζ̈	PROPN
ejpam-5928	222	7	,	,	PUNCT
ejpam-5928	222	8	µ	µ	NOUN
ejpam-5928	222	9	)	)	PUNCT
ejpam-5928	222	10	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	222	11	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	222	12	,	,	PUNCT
ejpam-5928	222	13	ζ̈	ζ̈	PROPN
ejpam-5928	222	14	,	,	PUNCT
ejpam-5928	222	15	µ	µ	NOUN
ejpam-5928	222	16	)	)	PUNCT
ejpam-5928	222	17	.	.	PUNCT
ejpam-5928	223	1	(	(	PUNCT
ejpam-5928	223	2	iii	iii	X
ejpam-5928	223	3	)	)	PUNCT
ejpam-5928	223	4	let	let	AUX
ejpam-5928	223	5	(	(	PUNCT
ejpam-5928	223	6	λ̈	λ̈	ADJ
ejpam-5928	223	7	,	,	PUNCT
ejpam-5928	223	8	ζ̈	ζ̈	PROPN
ejpam-5928	223	9	,	,	PUNCT
ejpam-5928	223	10	µ	µ	NOUN
ejpam-5928	223	11	)	)	PUNCT
ejpam-5928	223	12	be	be	AUX
ejpam-5928	223	13	a	a	DET
ejpam-5928	223	14	˜̃m	˜̃m	ADV
ejpam-5928	223	15	-	-	PUNCT
ejpam-5928	223	16	closed	close	VERB
ejpam-5928	223	17	set	set	NOUN
ejpam-5928	223	18	.	.	PUNCT
ejpam-5928	224	1	then	then	ADV
ejpam-5928	224	2	(	(	PUNCT
ejpam-5928	224	3	λ̈	λ̈	ADJ
ejpam-5928	224	4	,	,	PUNCT
ejpam-5928	224	5	ζ̈	ζ̈	PROPN
ejpam-5928	224	6	,	,	PUNCT
ejpam-5928	224	7	µ	µ	NOUN
ejpam-5928	224	8	)	)	PUNCT
ejpam-5928	224	9	is	be	AUX
ejpam-5928	224	10	the	the	DET
ejpam-5928	224	11	bs	bs	NOUN
ejpam-5928	224	12	intersection	intersection	NOUN
ejpam-5928	224	13	of	of	ADP
ejpam-5928	224	14	all	all	DET
ejpam-5928	224	15	˜̃m	˜̃m	ADJ
ejpam-5928	224	16	-	-	PUNCT
ejpam-5928	224	17	closed	close	VERB
ejpam-5928	224	18	sets	set	NOUN
ejpam-5928	224	19	containing	contain	VERB
ejpam-5928	224	20	(	(	PUNCT
ejpam-5928	224	21	λ̈	λ̈	ADJ
ejpam-5928	224	22	,	,	PUNCT
ejpam-5928	224	23	ζ̈	ζ̈	PROPN
ejpam-5928	224	24	,	,	PUNCT
ejpam-5928	224	25	µ	µ	NOUN
ejpam-5928	224	26	)	)	PUNCT
ejpam-5928	224	27	.	.	PUNCT
ejpam-5928	225	1	from	from	ADP
ejpam-5928	225	2	(	(	PUNCT
ejpam-5928	225	3	ii	ii	NOUN
ejpam-5928	225	4	)	)	PUNCT
ejpam-5928	225	5	,	,	PUNCT
ejpam-5928	225	6	we	we	PRON
ejpam-5928	225	7	have	have	AUX
ejpam-5928	225	8	(	(	PUNCT
ejpam-5928	225	9	λ̈	λ̈	ADJ
ejpam-5928	225	10	,	,	PUNCT
ejpam-5928	225	11	ζ̈	ζ̈	PROPN
ejpam-5928	225	12	,	,	PUNCT
ejpam-5928	225	13	µ	µ	NOUN
ejpam-5928	225	14	)	)	PUNCT
ejpam-5928	225	15	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	225	16	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	225	17	,	,	PUNCT
ejpam-5928	225	18	ζ̈	ζ̈	PROPN
ejpam-5928	225	19	,	,	PUNCT
ejpam-5928	225	20	µ	µ	NOUN
ejpam-5928	225	21	)	)	PUNCT
ejpam-5928	225	22	.	.	PUNCT
ejpam-5928	226	1	therefore	therefore	ADV
ejpam-5928	226	2	,	,	PUNCT
ejpam-5928	226	3	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	226	4	,	,	PUNCT
ejpam-5928	226	5	ζ̈	ζ̈	PROPN
ejpam-5928	226	6	,	,	PUNCT
ejpam-5928	226	7	µ	µ	NOUN
ejpam-5928	226	8	)	)	PUNCT
ejpam-5928	226	9	=	=	PUNCT
ejpam-5928	226	10	(	(	PUNCT
ejpam-5928	226	11	λ̈	λ̈	PROPN
ejpam-5928	226	12	,	,	PUNCT
ejpam-5928	226	13	ζ̈	ζ̈	PROPN
ejpam-5928	226	14	,	,	PUNCT
ejpam-5928	226	15	µ	µ	NOUN
ejpam-5928	226	16	)	)	PUNCT
ejpam-5928	226	17	.	.	PUNCT
ejpam-5928	227	1	the	the	DET
ejpam-5928	227	2	converse	converse	NOUN
ejpam-5928	227	3	of	of	ADP
ejpam-5928	227	4	point	point	NOUN
ejpam-5928	227	5	(	(	PUNCT
ejpam-5928	227	6	iii	iii	NOUN
ejpam-5928	227	7	)	)	PUNCT
ejpam-5928	227	8	in	in	ADP
ejpam-5928	227	9	theorem	theorem	NOUN
ejpam-5928	227	10	4	4	NUM
ejpam-5928	227	11	is	be	AUX
ejpam-5928	227	12	not	not	PART
ejpam-5928	227	13	true	true	ADJ
ejpam-5928	227	14	in	in	ADP
ejpam-5928	227	15	general	general	ADJ
ejpam-5928	227	16	and	and	CCONJ
ejpam-5928	227	17	the	the	DET
ejpam-5928	227	18	equality	equality	NOUN
ejpam-5928	227	19	of	of	ADP
ejpam-5928	227	20	parts	part	NOUN
ejpam-5928	227	21	(	(	PUNCT
ejpam-5928	227	22	vi	vi	NOUN
ejpam-5928	227	23	)	)	PUNCT
ejpam-5928	227	24	and	and	CCONJ
ejpam-5928	227	25	(	(	PUNCT
ejpam-5928	227	26	vii	vii	PROPN
ejpam-5928	227	27	)	)	PUNCT
ejpam-5928	227	28	in	in	ADP
ejpam-5928	227	29	theorem	theorem	NOUN
ejpam-5928	227	30	4	4	NUM
ejpam-5928	227	31	do	do	AUX
ejpam-5928	227	32	not	not	PART
ejpam-5928	227	33	hold	hold	VERB
ejpam-5928	227	34	as	as	SCONJ
ejpam-5928	227	35	shown	show	VERB
ejpam-5928	227	36	in	in	ADP
ejpam-5928	227	37	the	the	DET
ejpam-5928	227	38	example	example	NOUN
ejpam-5928	227	39	below	below	ADV
ejpam-5928	227	40	.	.	PUNCT
ejpam-5928	228	1	r.	r.	PROPN
ejpam-5928	228	2	a.	a.	PROPN
ejpam-5928	228	3	mohammed	mohammed	PROPN
ejpam-5928	228	4	/	/	SYM
ejpam-5928	228	5	eur	eur	PROPN
ejpam-5928	228	6	.	.	PUNCT
ejpam-5928	229	1	j.	j.	PROPN
ejpam-5928	229	2	pure	pure	PROPN
ejpam-5928	229	3	appl	appl	PROPN
ejpam-5928	229	4	.	.	PROPN
ejpam-5928	229	5	math	math	PROPN
ejpam-5928	229	6	,	,	PUNCT
ejpam-5928	229	7	18	18	NUM
ejpam-5928	229	8	(	(	PUNCT
ejpam-5928	229	9	2	2	NUM
ejpam-5928	229	10	)	)	PUNCT
ejpam-5928	229	11	(	(	PUNCT
ejpam-5928	229	12	2025	2025	NUM
ejpam-5928	229	13	)	)	PUNCT
ejpam-5928	229	14	,	,	PUNCT
ejpam-5928	229	15	5928	5928	NUM
ejpam-5928	229	16	9	9	NUM
ejpam-5928	229	17	of	of	ADP
ejpam-5928	229	18	26	26	NUM
ejpam-5928	229	19	example	example	NOUN
ejpam-5928	229	20	4	4	NUM
ejpam-5928	229	21	.	.	PUNCT
ejpam-5928	230	1	let	let	VERB
ejpam-5928	230	2	π	π	NOUN
ejpam-5928	230	3	=	=	PUNCT
ejpam-5928	230	4	{	{	PUNCT
ejpam-5928	230	5	ϵ1	ϵ1	ADJ
ejpam-5928	230	6	,	,	PUNCT
ejpam-5928	230	7	ϵ2	ϵ2	ADJ
ejpam-5928	230	8	,	,	PUNCT
ejpam-5928	230	9	ϵ3	ϵ3	PROPN
ejpam-5928	230	10	}	}	PUNCT
ejpam-5928	230	11	,	,	PUNCT
ejpam-5928	230	12	µ	µ	X
ejpam-5928	230	13	=	=	PUNCT
ejpam-5928	230	14	{	{	PUNCT
ejpam-5928	230	15	ϑ	ϑ	NOUN
ejpam-5928	230	16	}	}	PUNCT
ejpam-5928	230	17	and˜̃m	and˜̃m	ADJ
ejpam-5928	230	18	=	=	SYM
ejpam-5928	230	19	{	{	PUNCT
ejpam-5928	230	20	(	(	PUNCT
ejpam-5928	230	21	φ	φ	PROPN
ejpam-5928	230	22	,	,	PUNCT
ejpam-5928	230	23	˜̃π	˜̃π	NOUN
ejpam-5928	230	24	,	,	PUNCT
ejpam-5928	230	25	µ	µ	NOUN
ejpam-5928	230	26	)	)	PUNCT
ejpam-5928	230	27	,	,	PUNCT
ejpam-5928	230	28	(	(	PUNCT
ejpam-5928	230	29	˜̃	˜̃	NOUN
ejpam-5928	230	30	π	π	PROPN
ejpam-5928	230	31	,	,	PUNCT
ejpam-5928	230	32	φ	φ	PROPN
ejpam-5928	230	33	,	,	PUNCT
ejpam-5928	230	34	µ	µ	NOUN
ejpam-5928	230	35	)	)	PUNCT
ejpam-5928	230	36	,	,	PUNCT
ejpam-5928	230	37	(	(	PUNCT
ejpam-5928	230	38	λ̈1	λ̈1	ADJ
ejpam-5928	230	39	,	,	PUNCT
ejpam-5928	230	40	ζ̈1	ζ̈1	ADJ
ejpam-5928	230	41	,	,	PUNCT
ejpam-5928	230	42	µ	µ	NOUN
ejpam-5928	230	43	)	)	PUNCT
ejpam-5928	230	44	,	,	PUNCT
ejpam-5928	230	45	(	(	PUNCT
ejpam-5928	230	46	λ̈2	λ̈2	NOUN
ejpam-5928	230	47	,	,	PUNCT
ejpam-5928	230	48	ζ̈2	ζ̈2	PROPN
ejpam-5928	230	49	,	,	PUNCT
ejpam-5928	230	50	µ	µ	NOUN
ejpam-5928	230	51	)	)	PUNCT
ejpam-5928	230	52	,	,	PUNCT
ejpam-5928	230	53	(	(	PUNCT
ejpam-5928	230	54	λ̈3	λ̈3	NOUN
ejpam-5928	230	55	,	,	PUNCT
ejpam-5928	230	56	ζ̈3	ζ̈3	PROPN
ejpam-5928	230	57	,	,	PUNCT
ejpam-5928	230	58	µ	µ	NOUN
ejpam-5928	230	59	)	)	PUNCT
ejpam-5928	230	60	}	}	PUNCT
ejpam-5928	230	61	,	,	PUNCT
ejpam-5928	230	62	where	where	SCONJ
ejpam-5928	230	63	(	(	PUNCT
ejpam-5928	230	64	λ̈1	λ̈1	ADJ
ejpam-5928	230	65	,	,	PUNCT
ejpam-5928	230	66	ζ̈1	ζ̈1	ADJ
ejpam-5928	230	67	,	,	PUNCT
ejpam-5928	230	68	µ	µ	NOUN
ejpam-5928	230	69	)	)	PUNCT
ejpam-5928	230	70	=	=	PRON
ejpam-5928	230	71	{	{	PUNCT
ejpam-5928	230	72	(	(	PUNCT
ejpam-5928	230	73	ϑ	ϑ	X
ejpam-5928	230	74	,	,	PUNCT
ejpam-5928	230	75	{	{	PUNCT
ejpam-5928	230	76	ϵ1	ϵ1	ADJ
ejpam-5928	230	77	,	,	PUNCT
ejpam-5928	230	78	ϵ2	ϵ2	ADJ
ejpam-5928	230	79	}	}	PUNCT
ejpam-5928	230	80	,	,	PUNCT
ejpam-5928	230	81	{	{	PUNCT
ejpam-5928	230	82	ϵ3	ϵ3	PROPN
ejpam-5928	230	83	}	}	PUNCT
ejpam-5928	230	84	)	)	PUNCT
ejpam-5928	230	85	}	}	PUNCT
ejpam-5928	230	86	,	,	PUNCT
ejpam-5928	230	87	(	(	PUNCT
ejpam-5928	230	88	λ̈2	λ̈2	NOUN
ejpam-5928	230	89	,	,	PUNCT
ejpam-5928	230	90	ζ̈2	ζ̈2	PROPN
ejpam-5928	230	91	,	,	PUNCT
ejpam-5928	230	92	µ	µ	NOUN
ejpam-5928	230	93	)	)	PUNCT
ejpam-5928	230	94	=	=	PRON
ejpam-5928	230	95	{	{	PUNCT
ejpam-5928	230	96	(	(	PUNCT
ejpam-5928	230	97	ϑ	ϑ	X
ejpam-5928	230	98	,	,	PUNCT
ejpam-5928	230	99	{	{	PUNCT
ejpam-5928	230	100	ϵ2	ϵ2	ADJ
ejpam-5928	230	101	,	,	PUNCT
ejpam-5928	230	102	ϵ3	ϵ3	PROPN
ejpam-5928	230	103	}	}	PUNCT
ejpam-5928	230	104	,	,	PUNCT
ejpam-5928	230	105	{	{	PUNCT
ejpam-5928	230	106	ϵ1	ϵ1	ADJ
ejpam-5928	230	107	}	}	PUNCT
ejpam-5928	230	108	)	)	PUNCT
ejpam-5928	230	109	}	}	PUNCT
ejpam-5928	230	110	,	,	PUNCT
ejpam-5928	230	111	(	(	PUNCT
ejpam-5928	230	112	λ̈3	λ̈3	NOUN
ejpam-5928	230	113	,	,	PUNCT
ejpam-5928	230	114	ζ̈3	ζ̈3	PROPN
ejpam-5928	230	115	,	,	PUNCT
ejpam-5928	230	116	µ	µ	NOUN
ejpam-5928	230	117	)	)	PUNCT
ejpam-5928	230	118	=	=	PRON
ejpam-5928	230	119	{	{	PUNCT
ejpam-5928	230	120	(	(	PUNCT
ejpam-5928	230	121	ϑ	ϑ	X
ejpam-5928	230	122	,	,	PUNCT
ejpam-5928	230	123	{	{	PUNCT
ejpam-5928	230	124	ϵ3	ϵ3	PROPN
ejpam-5928	230	125	}	}	PUNCT
ejpam-5928	230	126	,	,	PUNCT
ejpam-5928	230	127	{	{	PUNCT
ejpam-5928	230	128	ϵ2	ϵ2	NOUN
ejpam-5928	230	129	}	}	PUNCT
ejpam-5928	230	130	)	)	PUNCT
ejpam-5928	230	131	}	}	PUNCT
ejpam-5928	230	132	.	.	PUNCT
ejpam-5928	231	1	then	then	ADV
ejpam-5928	231	2	˜̃m	˜̃m	PROPN
ejpam-5928	231	3	c	c	PROPN
ejpam-5928	231	4	=	=	PRON
ejpam-5928	231	5	{	{	PUNCT
ejpam-5928	231	6	(	(	PUNCT
ejpam-5928	231	7	φ	φ	PROPN
ejpam-5928	231	8	,	,	PUNCT
ejpam-5928	231	9	˜̃π	˜̃π	NOUN
ejpam-5928	231	10	,	,	PUNCT
ejpam-5928	231	11	µ	µ	NOUN
ejpam-5928	231	12	)	)	PUNCT
ejpam-5928	231	13	,	,	PUNCT
ejpam-5928	231	14	(	(	PUNCT
ejpam-5928	231	15	˜̃	˜̃	NOUN
ejpam-5928	231	16	π	π	PROPN
ejpam-5928	231	17	,	,	PUNCT
ejpam-5928	231	18	φ	φ	PROPN
ejpam-5928	231	19	,	,	PUNCT
ejpam-5928	231	20	µ	µ	NOUN
ejpam-5928	231	21	)	)	PUNCT
ejpam-5928	231	22	,	,	PUNCT
ejpam-5928	231	23	(	(	PUNCT
ejpam-5928	231	24	λ̈4	λ̈4	ADJ
ejpam-5928	231	25	,	,	PUNCT
ejpam-5928	231	26	ζ̈4	ζ̈4	NOUN
ejpam-5928	231	27	,	,	PUNCT
ejpam-5928	231	28	µ	µ	NOUN
ejpam-5928	231	29	)	)	PUNCT
ejpam-5928	231	30	,	,	PUNCT
ejpam-5928	231	31	(	(	PUNCT
ejpam-5928	231	32	λ̈5	λ̈5	NOUN
ejpam-5928	231	33	,	,	PUNCT
ejpam-5928	231	34	ζ̈5	ζ̈5	PROPN
ejpam-5928	231	35	,	,	PUNCT
ejpam-5928	231	36	µ	µ	NOUN
ejpam-5928	231	37	)	)	PUNCT
ejpam-5928	231	38	,	,	PUNCT
ejpam-5928	231	39	(	(	PUNCT
ejpam-5928	231	40	λ̈6	λ̈6	PROPN
ejpam-5928	231	41	,	,	PUNCT
ejpam-5928	231	42	ζ̈6	ζ̈6	VERB
ejpam-5928	231	43	,	,	PUNCT
ejpam-5928	231	44	µ	µ	NOUN
ejpam-5928	231	45	)	)	PUNCT
ejpam-5928	231	46	}	}	PUNCT
ejpam-5928	231	47	,	,	PUNCT
ejpam-5928	231	48	where	where	SCONJ
ejpam-5928	231	49	(	(	PUNCT
ejpam-5928	231	50	λ̈4	λ̈4	ADJ
ejpam-5928	231	51	,	,	PUNCT
ejpam-5928	231	52	ζ̈4	ζ̈4	NOUN
ejpam-5928	231	53	,	,	PUNCT
ejpam-5928	231	54	µ	µ	NOUN
ejpam-5928	231	55	)	)	PUNCT
ejpam-5928	231	56	=	=	SYM
ejpam-5928	231	57	(	(	PUNCT
ejpam-5928	231	58	λ̈1	λ̈1	PROPN
ejpam-5928	231	59	,	,	PUNCT
ejpam-5928	231	60	ζ̈1	ζ̈1	ADJ
ejpam-5928	231	61	,	,	PUNCT
ejpam-5928	231	62	µ	µ	NOUN
ejpam-5928	231	63	)	)	PUNCT
ejpam-5928	231	64	c	c	NOUN
ejpam-5928	231	65	=	=	SYM
ejpam-5928	231	66	{	{	PUNCT
ejpam-5928	231	67	(	(	PUNCT
ejpam-5928	231	68	ϑ	ϑ	X
ejpam-5928	231	69	,	,	PUNCT
ejpam-5928	231	70	{	{	PUNCT
ejpam-5928	231	71	ϵ3	ϵ3	PROPN
ejpam-5928	231	72	}	}	PUNCT
ejpam-5928	231	73	,	,	PUNCT
ejpam-5928	231	74	{	{	PUNCT
ejpam-5928	231	75	ϵ1	ϵ1	ADJ
ejpam-5928	231	76	,	,	PUNCT
ejpam-5928	231	77	ϵ2	ϵ2	ADJ
ejpam-5928	231	78	}	}	PUNCT
ejpam-5928	231	79	)	)	PUNCT
ejpam-5928	231	80	}	}	PUNCT
ejpam-5928	231	81	,	,	PUNCT
ejpam-5928	231	82	(	(	PUNCT
ejpam-5928	231	83	λ̈5	λ̈5	NOUN
ejpam-5928	231	84	,	,	PUNCT
ejpam-5928	231	85	ζ̈5	ζ̈5	PROPN
ejpam-5928	231	86	,	,	PUNCT
ejpam-5928	231	87	µ	µ	NOUN
ejpam-5928	231	88	)	)	PUNCT
ejpam-5928	231	89	=	=	SYM
ejpam-5928	231	90	(	(	PUNCT
ejpam-5928	231	91	λ̈2	λ̈2	NOUN
ejpam-5928	231	92	,	,	PUNCT
ejpam-5928	231	93	ζ̈2	ζ̈2	PROPN
ejpam-5928	231	94	,	,	PUNCT
ejpam-5928	231	95	µ	µ	NOUN
ejpam-5928	231	96	)	)	PUNCT
ejpam-5928	231	97	c	c	NOUN
ejpam-5928	231	98	=	=	SYM
ejpam-5928	231	99	{	{	PUNCT
ejpam-5928	231	100	(	(	PUNCT
ejpam-5928	231	101	ϑ	ϑ	X
ejpam-5928	231	102	,	,	PUNCT
ejpam-5928	231	103	{	{	PUNCT
ejpam-5928	231	104	ϵ1	ϵ1	ADJ
ejpam-5928	231	105	}	}	PUNCT
ejpam-5928	231	106	,	,	PUNCT
ejpam-5928	231	107	{	{	PUNCT
ejpam-5928	231	108	ϵ2	ϵ2	ADJ
ejpam-5928	231	109	,	,	PUNCT
ejpam-5928	231	110	ϵ3	ϵ3	PROPN
ejpam-5928	231	111	}	}	PUNCT
ejpam-5928	231	112	)	)	PUNCT
ejpam-5928	231	113	}	}	PUNCT
ejpam-5928	231	114	,	,	PUNCT
ejpam-5928	231	115	(	(	PUNCT
ejpam-5928	231	116	λ̈6	λ̈6	PROPN
ejpam-5928	231	117	,	,	PUNCT
ejpam-5928	231	118	ζ̈6	ζ̈6	VERB
ejpam-5928	231	119	,	,	PUNCT
ejpam-5928	231	120	µ	µ	NOUN
ejpam-5928	231	121	)	)	PUNCT
ejpam-5928	231	122	=	=	SYM
ejpam-5928	231	123	(	(	PUNCT
ejpam-5928	231	124	λ̈3	λ̈3	NOUN
ejpam-5928	231	125	,	,	PUNCT
ejpam-5928	231	126	ζ̈3	ζ̈3	PROPN
ejpam-5928	231	127	,	,	PUNCT
ejpam-5928	231	128	µ	µ	NOUN
ejpam-5928	231	129	)	)	PUNCT
ejpam-5928	231	130	c	c	NOUN
ejpam-5928	232	1	=	=	SYM
ejpam-5928	232	2	{	{	PUNCT
ejpam-5928	232	3	(	(	PUNCT
ejpam-5928	232	4	ϑ	ϑ	X
ejpam-5928	232	5	,	,	PUNCT
ejpam-5928	232	6	{	{	PUNCT
ejpam-5928	232	7	ϵ2	ϵ2	PROPN
ejpam-5928	232	8	}	}	PUNCT
ejpam-5928	232	9	,	,	PUNCT
ejpam-5928	232	10	{	{	PUNCT
ejpam-5928	232	11	ϵ3	ϵ3	PROPN
ejpam-5928	232	12	}	}	PUNCT
ejpam-5928	232	13	)	)	PUNCT
ejpam-5928	232	14	}	}	PUNCT
ejpam-5928	232	15	.	.	PUNCT
ejpam-5928	233	1	for	for	ADP
ejpam-5928	233	2	the	the	DET
ejpam-5928	233	3	converse	converse	NOUN
ejpam-5928	233	4	of	of	ADP
ejpam-5928	233	5	point	point	NOUN
ejpam-5928	233	6	(	(	PUNCT
ejpam-5928	233	7	iii	iii	NOUN
ejpam-5928	233	8	)	)	PUNCT
ejpam-5928	233	9	,	,	PUNCT
ejpam-5928	233	10	let	let	VERB
ejpam-5928	233	11	(	(	PUNCT
ejpam-5928	233	12	λ̈	λ̈	ADJ
ejpam-5928	233	13	,	,	PUNCT
ejpam-5928	233	14	ζ̈	ζ̈	PROPN
ejpam-5928	233	15	,	,	PUNCT
ejpam-5928	233	16	µ	µ	NOUN
ejpam-5928	233	17	)	)	PUNCT
ejpam-5928	233	18	=	=	PRON
ejpam-5928	233	19	{	{	PUNCT
ejpam-5928	233	20	(	(	PUNCT
ejpam-5928	233	21	ϑ	ϑ	X
ejpam-5928	233	22	,	,	PUNCT
ejpam-5928	233	23	ϕ	ϕ	NOUN
ejpam-5928	233	24	,	,	PUNCT
ejpam-5928	233	25	{	{	PUNCT
ejpam-5928	233	26	ϵ2	ϵ2	ADJ
ejpam-5928	233	27	,	,	PUNCT
ejpam-5928	233	28	ϵ3	ϵ3	PROPN
ejpam-5928	233	29	}	}	PUNCT
ejpam-5928	233	30	)	)	PUNCT
ejpam-5928	233	31	}	}	PUNCT
ejpam-5928	233	32	,	,	PUNCT
ejpam-5928	233	33	then˜̃mcl(λ̈	then˜̃mcl(λ̈	PROPN
ejpam-5928	233	34	,	,	PUNCT
ejpam-5928	233	35	ζ̈	ζ̈	PROPN
ejpam-5928	233	36	,	,	PUNCT
ejpam-5928	233	37	µ	µ	NOUN
ejpam-5928	233	38	)	)	PUNCT
ejpam-5928	233	39	=	=	SYM
ejpam-5928	234	1	˜̃mcl{(ϑ	˜̃mcl{(ϑ	NOUN
ejpam-5928	234	2	,	,	PUNCT
ejpam-5928	234	3	ϕ	ϕ	NOUN
ejpam-5928	234	4	,	,	PUNCT
ejpam-5928	234	5	{	{	PUNCT
ejpam-5928	234	6	ϵ2	ϵ2	ADJ
ejpam-5928	234	7	,	,	PUNCT
ejpam-5928	234	8	ϵ3	ϵ3	PROPN
ejpam-5928	234	9	}	}	PUNCT
ejpam-5928	234	10	)	)	PUNCT
ejpam-5928	234	11	}	}	PUNCT
ejpam-5928	234	12	=	=	SYM
ejpam-5928	234	13	{	{	PUNCT
ejpam-5928	234	14	(	(	PUNCT
ejpam-5928	234	15	ϑ	ϑ	X
ejpam-5928	234	16	,	,	PUNCT
ejpam-5928	234	17	ϕ	ϕ	NOUN
ejpam-5928	234	18	,	,	PUNCT
ejpam-5928	234	19	{	{	PUNCT
ejpam-5928	234	20	ϵ2	ϵ2	ADJ
ejpam-5928	234	21	,	,	PUNCT
ejpam-5928	234	22	ϵ3	ϵ3	PROPN
ejpam-5928	234	23	}	}	PUNCT
ejpam-5928	234	24	)	)	PUNCT
ejpam-5928	234	25	}	}	PUNCT
ejpam-5928	234	26	.	.	PUNCT
ejpam-5928	235	1	but	but	CCONJ
ejpam-5928	235	2	(	(	PUNCT
ejpam-5928	235	3	λ̈	λ̈	ADJ
ejpam-5928	235	4	,	,	PUNCT
ejpam-5928	235	5	ζ̈	ζ̈	PROPN
ejpam-5928	235	6	,	,	PUNCT
ejpam-5928	235	7	µ	µ	NOUN
ejpam-5928	235	8	)	)	PUNCT
ejpam-5928	235	9	is	be	AUX
ejpam-5928	235	10	not	not	PART
ejpam-5928	235	11	˜̃m	˜̃m	ADV
ejpam-5928	235	12	-	-	PUNCT
ejpam-5928	235	13	closed	closed	ADJ
ejpam-5928	235	14	.	.	PUNCT
ejpam-5928	236	1	for	for	ADP
ejpam-5928	236	2	the	the	DET
ejpam-5928	236	3	equality	equality	NOUN
ejpam-5928	236	4	of	of	ADP
ejpam-5928	236	5	parts	part	NOUN
ejpam-5928	236	6	(	(	PUNCT
ejpam-5928	236	7	vi	vi	NOUN
ejpam-5928	236	8	)	)	PUNCT
ejpam-5928	236	9	and	and	CCONJ
ejpam-5928	236	10	(	(	PUNCT
ejpam-5928	236	11	vii	vii	PROPN
ejpam-5928	236	12	)	)	PUNCT
ejpam-5928	236	13	,	,	PUNCT
ejpam-5928	236	14	suppose	suppose	VERB
ejpam-5928	236	15	that	that	SCONJ
ejpam-5928	236	16	(	(	PUNCT
ejpam-5928	236	17	ξ1	ξ1	NOUN
ejpam-5928	236	18	,	,	PUNCT
ejpam-5928	236	19	η1	η1	NOUN
ejpam-5928	236	20	,	,	PUNCT
ejpam-5928	236	21	µ	µ	NOUN
ejpam-5928	236	22	)	)	PUNCT
ejpam-5928	236	23	=	=	PRON
ejpam-5928	236	24	{	{	PUNCT
ejpam-5928	236	25	(	(	PUNCT
ejpam-5928	236	26	ϑ	ϑ	X
ejpam-5928	236	27	,	,	PUNCT
ejpam-5928	236	28	{	{	PUNCT
ejpam-5928	236	29	ϵ3	ϵ3	PROPN
ejpam-5928	236	30	}	}	PUNCT
ejpam-5928	236	31	,	,	PUNCT
ejpam-5928	236	32	{	{	PUNCT
ejpam-5928	236	33	ϵ2	ϵ2	NOUN
ejpam-5928	236	34	}	}	PUNCT
ejpam-5928	236	35	)	)	PUNCT
ejpam-5928	236	36	}	}	PUNCT
ejpam-5928	236	37	,	,	PUNCT
ejpam-5928	236	38	(	(	PUNCT
ejpam-5928	236	39	ξ2	ξ2	ADJ
ejpam-5928	236	40	,	,	PUNCT
ejpam-5928	236	41	η2	η2	PROPN
ejpam-5928	236	42	,	,	PUNCT
ejpam-5928	236	43	µ	µ	NOUN
ejpam-5928	236	44	)	)	PUNCT
ejpam-5928	236	45	=	=	PRON
ejpam-5928	236	46	{	{	PUNCT
ejpam-5928	236	47	(	(	PUNCT
ejpam-5928	236	48	ϑ	ϑ	X
ejpam-5928	236	49	,	,	PUNCT
ejpam-5928	236	50	{	{	PUNCT
ejpam-5928	236	51	ϵ2	ϵ2	PROPN
ejpam-5928	236	52	}	}	PUNCT
ejpam-5928	236	53	,	,	PUNCT
ejpam-5928	236	54	{	{	PUNCT
ejpam-5928	236	55	ϵ1	ϵ1	ADJ
ejpam-5928	236	56	,	,	PUNCT
ejpam-5928	236	57	ϵ3	ϵ3	PROPN
ejpam-5928	236	58	}	}	PUNCT
ejpam-5928	236	59	)	)	PUNCT
ejpam-5928	236	60	}	}	PUNCT
ejpam-5928	236	61	and	and	CCONJ
ejpam-5928	236	62	(	(	PUNCT
ejpam-5928	236	63	ξ3	ξ3	NOUN
ejpam-5928	236	64	,	,	PUNCT
ejpam-5928	236	65	η3	η3	NOUN
ejpam-5928	236	66	,	,	PUNCT
ejpam-5928	236	67	µ	µ	NOUN
ejpam-5928	236	68	)	)	PUNCT
ejpam-5928	236	69	=	=	SYM
ejpam-5928	236	70	(	(	PUNCT
ejpam-5928	236	71	λ̈4	λ̈4	PROPN
ejpam-5928	236	72	,	,	PUNCT
ejpam-5928	236	73	ζ̈4	ζ̈4	NOUN
ejpam-5928	236	74	,	,	PUNCT
ejpam-5928	236	75	µ	µ	NOUN
ejpam-5928	236	76	)	)	PUNCT
ejpam-5928	236	77	.	.	PUNCT
ejpam-5928	237	1	then	then	ADV
ejpam-5928	237	2	,	,	PUNCT
ejpam-5928	237	3	˜̃mcl(ξ1	˜̃mcl(ξ1	NOUN
ejpam-5928	237	4	,	,	PUNCT
ejpam-5928	237	5	η1	η1	NOUN
ejpam-5928	237	6	,	,	PUNCT
ejpam-5928	237	7	µ	µ	NOUN
ejpam-5928	237	8	)	)	PUNCT
ejpam-5928	237	9	=	=	SYM
ejpam-5928	237	10	(	(	PUNCT
ejpam-5928	237	11	˜̃	˜̃	NOUN
ejpam-5928	237	12	π	π	PROPN
ejpam-5928	237	13	,	,	PUNCT
ejpam-5928	237	14	φ	φ	PROPN
ejpam-5928	237	15	,	,	PUNCT
ejpam-5928	237	16	µ	µ	NOUN
ejpam-5928	237	17	)	)	PUNCT
ejpam-5928	237	18	,	,	PUNCT
ejpam-5928	237	19	˜̃mcl(ξ2	˜̃mcl(ξ2	NOUN
ejpam-5928	237	20	,	,	PUNCT
ejpam-5928	237	21	η2	η2	NOUN
ejpam-5928	237	22	,	,	PUNCT
ejpam-5928	237	23	µ	µ	NOUN
ejpam-5928	237	24	)	)	PUNCT
ejpam-5928	237	25	=	=	SYM
ejpam-5928	238	1	(	(	PUNCT
ejpam-5928	238	2	λ̈6	λ̈6	PROPN
ejpam-5928	238	3	,	,	PUNCT
ejpam-5928	238	4	ζ̈6	ζ̈6	VERB
ejpam-5928	238	5	,	,	PUNCT
ejpam-5928	238	6	µ	µ	NOUN
ejpam-5928	238	7	)	)	PUNCT
ejpam-5928	238	8	and	and	CCONJ
ejpam-5928	238	9	˜̃mcl(ξ3	˜̃mcl(ξ3	PROPN
ejpam-5928	238	10	,	,	PUNCT
ejpam-5928	238	11	η3	η3	NOUN
ejpam-5928	238	12	,	,	PUNCT
ejpam-5928	238	13	µ	µ	NOUN
ejpam-5928	238	14	)	)	PUNCT
ejpam-5928	238	15	=	=	SYM
ejpam-5928	238	16	(	(	PUNCT
ejpam-5928	238	17	λ̈4	λ̈4	PROPN
ejpam-5928	238	18	,	,	PUNCT
ejpam-5928	238	19	ζ̈4	ζ̈4	NOUN
ejpam-5928	238	20	,	,	PUNCT
ejpam-5928	238	21	µ	µ	NOUN
ejpam-5928	238	22	)	)	PUNCT
ejpam-5928	238	23	.	.	PUNCT
ejpam-5928	239	1	thus	thus	ADV
ejpam-5928	239	2	,	,	PUNCT
ejpam-5928	239	3	˜̃mcl(ξ1	˜̃mcl(ξ1	NOUN
ejpam-5928	239	4	,	,	PUNCT
ejpam-5928	239	5	η1	η1	NOUN
ejpam-5928	239	6	,	,	PUNCT
ejpam-5928	239	7	µ	µ	NOUN
ejpam-5928	239	8	)	)	PUNCT
ejpam-5928	239	9	˜̃∩	˜̃∩	ADV
ejpam-5928	239	10	˜̃mcl(ξ2	˜̃mcl(ξ2	PROPN
ejpam-5928	239	11	,	,	PUNCT
ejpam-5928	239	12	η2	η2	NOUN
ejpam-5928	239	13	,	,	PUNCT
ejpam-5928	239	14	µ	µ	NOUN
ejpam-5928	239	15	)	)	PUNCT
ejpam-5928	239	16	=	=	SYM
ejpam-5928	240	1	(	(	PUNCT
ejpam-5928	240	2	λ̈6	λ̈6	PROPN
ejpam-5928	240	3	,	,	PUNCT
ejpam-5928	240	4	ζ̈6	ζ̈6	VERB
ejpam-5928	240	5	,	,	PUNCT
ejpam-5928	240	6	µ	µ	NOUN
ejpam-5928	240	7	)	)	PUNCT
ejpam-5928	240	8	.	.	PUNCT
ejpam-5928	241	1	also	also	ADV
ejpam-5928	241	2	,	,	PUNCT
ejpam-5928	241	3	˜̃mcl((ξ1	˜̃mcl((ξ1	PROPN
ejpam-5928	241	4	,	,	PUNCT
ejpam-5928	241	5	η1	η1	NOUN
ejpam-5928	241	6	,	,	PUNCT
ejpam-5928	241	7	µ	µ	NOUN
ejpam-5928	241	8	)	)	PUNCT
ejpam-5928	241	9	˜̃∩	˜̃∩	ADV
ejpam-5928	241	10	(	(	PUNCT
ejpam-5928	241	11	ξ2	ξ2	ADJ
ejpam-5928	241	12	,	,	PUNCT
ejpam-5928	241	13	η2	η2	PROPN
ejpam-5928	241	14	,	,	PUNCT
ejpam-5928	241	15	µ	µ	NOUN
ejpam-5928	241	16	)	)	PUNCT
ejpam-5928	241	17	)	)	PUNCT
ejpam-5928	242	1	=	=	SYM
ejpam-5928	242	2	˜̃mcl(φ	˜̃mcl(φ	NOUN
ejpam-5928	242	3	,	,	PUNCT
ejpam-5928	242	4	˜̃	˜̃	NOUN
ejpam-5928	242	5	π	π	PROPN
ejpam-5928	242	6	,	,	PUNCT
ejpam-5928	242	7	µ	µ	NOUN
ejpam-5928	242	8	)	)	PUNCT
ejpam-5928	242	9	=	=	SYM
ejpam-5928	242	10	(	(	PUNCT
ejpam-5928	242	11	φ	φ	PROPN
ejpam-5928	242	12	,	,	PUNCT
ejpam-5928	242	13	˜̃	˜̃	NOUN
ejpam-5928	242	14	π	π	PROPN
ejpam-5928	242	15	,	,	PUNCT
ejpam-5928	242	16	µ	µ	NOUN
ejpam-5928	242	17	)	)	PUNCT
ejpam-5928	242	18	.	.	PUNCT
ejpam-5928	243	1	therefore	therefore	ADV
ejpam-5928	243	2	,	,	PUNCT
ejpam-5928	243	3	˜̃mcl(ξ1	˜̃mcl(ξ1	NOUN
ejpam-5928	243	4	,	,	PUNCT
ejpam-5928	243	5	η1	η1	NOUN
ejpam-5928	243	6	,	,	PUNCT
ejpam-5928	243	7	µ	µ	NOUN
ejpam-5928	243	8	)	)	PUNCT
ejpam-5928	243	9	˜̃∩	˜̃∩	ADV
ejpam-5928	243	10	˜̃mcl(ξ2	˜̃mcl(ξ2	PROPN
ejpam-5928	243	11	,	,	PUNCT
ejpam-5928	243	12	η2	η2	NOUN
ejpam-5928	243	13	,	,	PUNCT
ejpam-5928	243	14	µ	µ	NOUN
ejpam-5928	243	15	)	)	PUNCT
ejpam-5928	243	16	̸=	̸=	PROPN
ejpam-5928	243	17	˜̃mcl((ξ1	˜̃mcl((ξ1	PROPN
ejpam-5928	243	18	,	,	PUNCT
ejpam-5928	243	19	η1	η1	NOUN
ejpam-5928	243	20	,	,	PUNCT
ejpam-5928	243	21	µ	µ	NOUN
ejpam-5928	243	22	)	)	PUNCT
ejpam-5928	243	23	˜̃∩	˜̃∩	ADV
ejpam-5928	243	24	(	(	PUNCT
ejpam-5928	243	25	ξ2	ξ2	ADJ
ejpam-5928	243	26	,	,	PUNCT
ejpam-5928	243	27	η2	η2	PROPN
ejpam-5928	243	28	,	,	PUNCT
ejpam-5928	243	29	µ	µ	NOUN
ejpam-5928	243	30	)	)	PUNCT
ejpam-5928	243	31	)	)	PUNCT
ejpam-5928	243	32	.	.	PUNCT
ejpam-5928	244	1	now	now	ADV
ejpam-5928	244	2	,	,	PUNCT
ejpam-5928	244	3	˜̃mcl(ξ2	˜̃mcl(ξ2	NOUN
ejpam-5928	244	4	,	,	PUNCT
ejpam-5928	244	5	η2	η2	NOUN
ejpam-5928	244	6	,	,	PUNCT
ejpam-5928	244	7	µ	µ	NOUN
ejpam-5928	244	8	)	)	PUNCT
ejpam-5928	244	9	˜̃∪	˜̃∪	PROPN
ejpam-5928	244	10	˜̃mcl(ξ3	˜̃mcl(ξ3	PROPN
ejpam-5928	244	11	,	,	PUNCT
ejpam-5928	244	12	η3	η3	NOUN
ejpam-5928	244	13	,	,	PUNCT
ejpam-5928	244	14	µ	µ	NOUN
ejpam-5928	244	15	)	)	PUNCT
ejpam-5928	244	16	=	=	PRON
ejpam-5928	244	17	{	{	PUNCT
ejpam-5928	244	18	(	(	PUNCT
ejpam-5928	244	19	ϑ	ϑ	X
ejpam-5928	244	20	,	,	PUNCT
ejpam-5928	244	21	{	{	PUNCT
ejpam-5928	244	22	ϵ2	ϵ2	ADJ
ejpam-5928	244	23	,	,	PUNCT
ejpam-5928	244	24	ϵ3	ϵ3	PROPN
ejpam-5928	244	25	}	}	PUNCT
ejpam-5928	244	26	,	,	PUNCT
ejpam-5928	244	27	ϕ	ϕ	NOUN
ejpam-5928	244	28	)	)	PUNCT
ejpam-5928	244	29	}	}	PUNCT
ejpam-5928	244	30	.	.	PUNCT
ejpam-5928	245	1	also	also	ADV
ejpam-5928	245	2	,	,	PUNCT
ejpam-5928	245	3	˜̃mcl((ξ2	˜̃mcl((ξ2	NOUN
ejpam-5928	245	4	,	,	PUNCT
ejpam-5928	245	5	η2	η2	PROPN
ejpam-5928	245	6	,	,	PUNCT
ejpam-5928	245	7	µ	µ	NOUN
ejpam-5928	245	8	)	)	PUNCT
ejpam-5928	245	9	˜̃∪	˜̃∪	PROPN
ejpam-5928	245	10	(	(	PUNCT
ejpam-5928	245	11	ξ3	ξ3	NOUN
ejpam-5928	245	12	,	,	PUNCT
ejpam-5928	245	13	η3	η3	NOUN
ejpam-5928	245	14	,	,	PUNCT
ejpam-5928	245	15	µ	µ	NOUN
ejpam-5928	245	16	)	)	PUNCT
ejpam-5928	245	17	)	)	PUNCT
ejpam-5928	246	1	=	=	SYM
ejpam-5928	246	2	˜̃mcl{(ϑ	˜̃mcl{(ϑ	NOUN
ejpam-5928	246	3	,	,	PUNCT
ejpam-5928	246	4	{	{	PUNCT
ejpam-5928	246	5	ϵ2	ϵ2	ADJ
ejpam-5928	246	6	,	,	PUNCT
ejpam-5928	246	7	ϵ3	ϵ3	PROPN
ejpam-5928	246	8	}	}	PUNCT
ejpam-5928	246	9	,	,	PUNCT
ejpam-5928	246	10	{	{	PUNCT
ejpam-5928	246	11	ϵ1	ϵ1	ADJ
ejpam-5928	246	12	}	}	PUNCT
ejpam-5928	246	13	)	)	PUNCT
ejpam-5928	246	14	}	}	PUNCT
ejpam-5928	246	15	=	=	SYM
ejpam-5928	246	16	(	(	PUNCT
ejpam-5928	246	17	˜̃	˜̃	NOUN
ejpam-5928	246	18	π	π	PROPN
ejpam-5928	246	19	,	,	PUNCT
ejpam-5928	246	20	φ	φ	PROPN
ejpam-5928	246	21	,	,	PUNCT
ejpam-5928	246	22	µ	µ	NOUN
ejpam-5928	246	23	)	)	PUNCT
ejpam-5928	246	24	.	.	PUNCT
ejpam-5928	247	1	so	so	ADV
ejpam-5928	247	2	,	,	PUNCT
ejpam-5928	247	3	˜̃mcl((ξ2	˜̃mcl((ξ2	NOUN
ejpam-5928	247	4	,	,	PUNCT
ejpam-5928	247	5	η2	η2	PROPN
ejpam-5928	247	6	,	,	PUNCT
ejpam-5928	247	7	µ	µ	NOUN
ejpam-5928	247	8	)	)	PUNCT
ejpam-5928	247	9	˜̃∪	˜̃∪	PROPN
ejpam-5928	247	10	(	(	PUNCT
ejpam-5928	247	11	ξ3	ξ3	NOUN
ejpam-5928	247	12	,	,	PUNCT
ejpam-5928	247	13	η3	η3	NOUN
ejpam-5928	247	14	,	,	PUNCT
ejpam-5928	247	15	µ	µ	NOUN
ejpam-5928	247	16	)	)	PUNCT
ejpam-5928	247	17	)	)	PUNCT
ejpam-5928	248	1	̸=	̸=	PROPN
ejpam-5928	248	2	˜̃mcl(ξ2	˜̃mcl(ξ2	NUM
ejpam-5928	248	3	,	,	PUNCT
ejpam-5928	248	4	η2	η2	NOUN
ejpam-5928	248	5	,	,	PUNCT
ejpam-5928	248	6	µ	µ	NOUN
ejpam-5928	248	7	)	)	PUNCT
ejpam-5928	248	8	˜̃∪	˜̃∪	PROPN
ejpam-5928	248	9	˜̃mcl(ξ3	˜̃mcl(ξ3	PROPN
ejpam-5928	248	10	,	,	PUNCT
ejpam-5928	248	11	η3	η3	NOUN
ejpam-5928	248	12	,	,	PUNCT
ejpam-5928	248	13	µ	µ	NOUN
ejpam-5928	248	14	)	)	PUNCT
ejpam-5928	248	15	.	.	PUNCT
ejpam-5928	249	1	proposition	proposition	NOUN
ejpam-5928	249	2	3	3	X
ejpam-5928	249	3	.	.	PUNCT
ejpam-5928	250	1	let	let	VERB
ejpam-5928	250	2	(	(	PUNCT
ejpam-5928	250	3	π	π	X
ejpam-5928	250	4	,	,	PUNCT
ejpam-5928	250	5	˜̃m	˜̃m	PROPN
ejpam-5928	250	6	,	,	PUNCT
ejpam-5928	250	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	250	8	)	)	PUNCT
ejpam-5928	250	9	be	be	VERB
ejpam-5928	250	10	a	a	DET
ejpam-5928	250	11	bsms	bsms	NOUN
ejpam-5928	250	12	and	and	CCONJ
ejpam-5928	250	13	(	(	PUNCT
ejpam-5928	250	14	λ̈	λ̈	PROPN
ejpam-5928	250	15	,	,	PUNCT
ejpam-5928	250	16	ζ̈	ζ̈	PROPN
ejpam-5928	250	17	,	,	PUNCT
ejpam-5928	250	18	µ	µ	NOUN
ejpam-5928	250	19	)	)	PUNCT
ejpam-5928	250	20	˜̃∈	˜̃∈	PROPN
ejpam-5928	250	21	bss(π	bss(π	PROPN
ejpam-5928	250	22	)	)	PUNCT
ejpam-5928	250	23	.	.	PUNCT
ejpam-5928	251	1	then˜̃mint	then˜̃mint	PROPN
ejpam-5928	251	2	(	(	PUNCT
ejpam-5928	251	3	λ̈	λ̈	PROPN
ejpam-5928	251	4	,	,	PUNCT
ejpam-5928	251	5	ζ̈	ζ̈	PROPN
ejpam-5928	251	6	,	,	PUNCT
ejpam-5928	251	7	µ	µ	NOUN
ejpam-5928	251	8	)	)	PUNCT
ejpam-5928	251	9	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	251	10	(	(	PUNCT
ejpam-5928	251	11	λ̈	λ̈	PROPN
ejpam-5928	251	12	,	,	PUNCT
ejpam-5928	251	13	ζ̈	ζ̈	PROPN
ejpam-5928	251	14	,	,	PUNCT
ejpam-5928	251	15	µ	µ	NOUN
ejpam-5928	251	16	)	)	PUNCT
ejpam-5928	251	17	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	251	18	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	251	19	,	,	PUNCT
ejpam-5928	251	20	ζ̈	ζ̈	PROPN
ejpam-5928	251	21	,	,	PUNCT
ejpam-5928	251	22	µ	µ	NOUN
ejpam-5928	251	23	)	)	PUNCT
ejpam-5928	251	24	.	.	PUNCT
ejpam-5928	252	1	proof	proof	NOUN
ejpam-5928	252	2	.	.	PUNCT
ejpam-5928	253	1	follows	follow	VERB
ejpam-5928	253	2	directly	directly	ADV
ejpam-5928	253	3	from	from	ADP
ejpam-5928	253	4	theorem	theorem	ADJ
ejpam-5928	253	5	3	3	NUM
ejpam-5928	253	6	(	(	PUNCT
ejpam-5928	253	7	ii	ii	NOUN
ejpam-5928	253	8	)	)	PUNCT
ejpam-5928	253	9	and	and	CCONJ
ejpam-5928	253	10	theorem	theorem	VERB
ejpam-5928	253	11	4	4	NUM
ejpam-5928	253	12	(	(	PUNCT
ejpam-5928	253	13	ii	ii	NOUN
ejpam-5928	253	14	)	)	PUNCT
ejpam-5928	253	15	.	.	PUNCT
ejpam-5928	254	1	theorem	theorem	NOUN
ejpam-5928	254	2	5	5	NUM
ejpam-5928	254	3	.	.	PUNCT
ejpam-5928	255	1	let	let	VERB
ejpam-5928	255	2	(	(	PUNCT
ejpam-5928	255	3	π	π	PROPN
ejpam-5928	255	4	,	,	PUNCT
ejpam-5928	255	5	˜̃m	˜̃m	PROPN
ejpam-5928	255	6	,	,	PUNCT
ejpam-5928	255	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	255	8	)	)	PUNCT
ejpam-5928	255	9	be	be	VERB
ejpam-5928	255	10	a	a	DET
ejpam-5928	255	11	bsms	bsms	NOUN
ejpam-5928	255	12	and	and	CCONJ
ejpam-5928	255	13	(	(	PUNCT
ejpam-5928	255	14	λ̈	λ̈	PROPN
ejpam-5928	255	15	,	,	PUNCT
ejpam-5928	255	16	ζ̈	ζ̈	PROPN
ejpam-5928	255	17	,	,	PUNCT
ejpam-5928	255	18	µ	µ	NOUN
ejpam-5928	255	19	)	)	PUNCT
ejpam-5928	255	20	,	,	PUNCT
ejpam-5928	255	21	(	(	PUNCT
ejpam-5928	255	22	¨̈	¨̈	PROPN
ejpam-5928	255	23	λ1	λ1	ADJ
ejpam-5928	255	24	,	,	PUNCT
ejpam-5928	255	25	ζ̈1	ζ̈1	ADJ
ejpam-5928	255	26	,	,	PUNCT
ejpam-5928	255	27	µ	µ	NOUN
ejpam-5928	255	28	)	)	PUNCT
ejpam-5928	255	29	˜̃∈	˜̃∈	PROPN
ejpam-5928	255	30	bss(π	bss(π	PROPN
ejpam-5928	255	31	)	)	PUNCT
ejpam-5928	255	32	.	.	PUNCT
ejpam-5928	256	1	then	then	ADV
ejpam-5928	256	2	(	(	PUNCT
ejpam-5928	256	3	i	i	NOUN
ejpam-5928	256	4	)	)	PUNCT
ejpam-5928	256	5	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	256	6	,	,	PUNCT
ejpam-5928	256	7	ζ̈	ζ̈	PROPN
ejpam-5928	256	8	,	,	PUNCT
ejpam-5928	256	9	µ)c	µ)c	PUNCT
ejpam-5928	256	10	=	=	SYM
ejpam-5928	256	11	(	(	PUNCT
ejpam-5928	256	12	˜̃mint	˜̃mint	PUNCT
ejpam-5928	256	13	(	(	PUNCT
ejpam-5928	256	14	λ̈	λ̈	PROPN
ejpam-5928	256	15	,	,	PUNCT
ejpam-5928	256	16	ζ̈	ζ̈	NOUN
ejpam-5928	256	17	,	,	PUNCT
ejpam-5928	256	18	µ))c	µ))c	NOUN
ejpam-5928	256	19	.	.	PUNCT
ejpam-5928	257	1	r.	r.	PROPN
ejpam-5928	257	2	a.	a.	PROPN
ejpam-5928	257	3	mohammed	mohammed	PROPN
ejpam-5928	257	4	/	/	SYM
ejpam-5928	257	5	eur	eur	PROPN
ejpam-5928	257	6	.	.	PUNCT
ejpam-5928	258	1	j.	j.	PROPN
ejpam-5928	258	2	pure	pure	PROPN
ejpam-5928	258	3	appl	appl	PROPN
ejpam-5928	258	4	.	.	PROPN
ejpam-5928	258	5	math	math	PROPN
ejpam-5928	258	6	,	,	PUNCT
ejpam-5928	258	7	18	18	NUM
ejpam-5928	258	8	(	(	PUNCT
ejpam-5928	258	9	2	2	NUM
ejpam-5928	258	10	)	)	PUNCT
ejpam-5928	258	11	(	(	PUNCT
ejpam-5928	258	12	2025	2025	NUM
ejpam-5928	258	13	)	)	PUNCT
ejpam-5928	258	14	,	,	PUNCT
ejpam-5928	258	15	5928	5928	NUM
ejpam-5928	258	16	10	10	NUM
ejpam-5928	258	17	of	of	ADP
ejpam-5928	258	18	26	26	NUM
ejpam-5928	258	19	(	(	PUNCT
ejpam-5928	258	20	ii	ii	NOUN
ejpam-5928	258	21	)	)	PUNCT
ejpam-5928	258	22	˜̃mint	˜̃mint	PROPN
ejpam-5928	258	23	(	(	PUNCT
ejpam-5928	258	24	λ̈	λ̈	NOUN
ejpam-5928	258	25	,	,	PUNCT
ejpam-5928	258	26	ζ̈	ζ̈	NOUN
ejpam-5928	258	27	,	,	PUNCT
ejpam-5928	258	28	µ)c	µ)c	PUNCT
ejpam-5928	258	29	=	=	SYM
ejpam-5928	258	30	(	(	PUNCT
ejpam-5928	258	31	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	258	32	,	,	PUNCT
ejpam-5928	258	33	ζ̈	ζ̈	PROPN
ejpam-5928	258	34	,	,	PUNCT
ejpam-5928	258	35	µ))c	µ))c	NOUN
ejpam-5928	258	36	.	.	PUNCT
ejpam-5928	259	1	(	(	PUNCT
ejpam-5928	259	2	iii	iii	NOUN
ejpam-5928	259	3	)	)	PUNCT
ejpam-5928	259	4	˜̃mint	˜̃mint	PROPN
ejpam-5928	259	5	(	(	PUNCT
ejpam-5928	259	6	λ̈	λ̈	PROPN
ejpam-5928	259	7	,	,	PUNCT
ejpam-5928	259	8	ζ̈	ζ̈	PROPN
ejpam-5928	259	9	,	,	PUNCT
ejpam-5928	259	10	µ	µ	NOUN
ejpam-5928	259	11	)	)	PUNCT
ejpam-5928	259	12	=	=	SYM
ejpam-5928	259	13	(	(	PUNCT
ejpam-5928	259	14	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	259	15	,	,	PUNCT
ejpam-5928	259	16	ζ̈	ζ̈	PROPN
ejpam-5928	259	17	,	,	PUNCT
ejpam-5928	259	18	µ)c)c	µ)c)c	NUM
ejpam-5928	259	19	.	.	PUNCT
ejpam-5928	260	1	(	(	PUNCT
ejpam-5928	260	2	iv	iv	X
ejpam-5928	260	3	)	)	PUNCT
ejpam-5928	260	4	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	260	5	,	,	PUNCT
ejpam-5928	260	6	ζ̈	ζ̈	PROPN
ejpam-5928	260	7	,	,	PUNCT
ejpam-5928	260	8	µ	µ	NOUN
ejpam-5928	260	9	)	)	PUNCT
ejpam-5928	260	10	=	=	SYM
ejpam-5928	260	11	(	(	PUNCT
ejpam-5928	260	12	˜̃mint	˜̃mint	PROPN
ejpam-5928	260	13	(	(	PUNCT
ejpam-5928	260	14	λ̈	λ̈	PROPN
ejpam-5928	260	15	,	,	PUNCT
ejpam-5928	260	16	ζ̈	ζ̈	PROPN
ejpam-5928	260	17	,	,	PUNCT
ejpam-5928	260	18	µ)c)c	µ)c)c	NUM
ejpam-5928	260	19	.	.	PUNCT
ejpam-5928	261	1	(	(	PUNCT
ejpam-5928	261	2	v	v	NOUN
ejpam-5928	261	3	)	)	PUNCT
ejpam-5928	261	4	˜̃mint	˜̃mint	PROPN
ejpam-5928	261	5	(	(	PUNCT
ejpam-5928	261	6	(	(	PUNCT
ejpam-5928	261	7	λ̈	λ̈	ADJ
ejpam-5928	261	8	,	,	PUNCT
ejpam-5928	261	9	ζ̈	ζ̈	PROPN
ejpam-5928	261	10	,	,	PUNCT
ejpam-5928	261	11	µ	µ	NOUN
ejpam-5928	261	12	)	)	PUNCT
ejpam-5928	261	13	˜̃\	˜̃\	NOUN
ejpam-5928	261	14	(	(	PUNCT
ejpam-5928	261	15	λ̈1	λ̈1	ADJ
ejpam-5928	261	16	,	,	PUNCT
ejpam-5928	261	17	ζ̈1	ζ̈1	ADJ
ejpam-5928	261	18	,	,	PUNCT
ejpam-5928	261	19	µ	µ	NOUN
ejpam-5928	261	20	)	)	PUNCT
ejpam-5928	261	21	)	)	PUNCT
ejpam-5928	262	1	˜̃⊆	˜̃⊆	X
ejpam-5928	262	2	˜̃mint	˜̃mint	PUNCT
ejpam-5928	262	3	(	(	PUNCT
ejpam-5928	262	4	λ̈	λ̈	PROPN
ejpam-5928	262	5	,	,	PUNCT
ejpam-5928	262	6	ζ̈	ζ̈	PROPN
ejpam-5928	262	7	,	,	PUNCT
ejpam-5928	262	8	µ	µ	NOUN
ejpam-5928	262	9	)	)	PUNCT
ejpam-5928	262	10	˜̃\	˜̃\	NOUN
ejpam-5928	262	11	˜̃mint	˜̃mint	PUNCT
ejpam-5928	262	12	(	(	PUNCT
ejpam-5928	262	13	λ̈1	λ̈1	PROPN
ejpam-5928	262	14	,	,	PUNCT
ejpam-5928	262	15	ζ̈1	ζ̈1	ADJ
ejpam-5928	262	16	,	,	PUNCT
ejpam-5928	262	17	µ	µ	NOUN
ejpam-5928	262	18	)	)	PUNCT
ejpam-5928	262	19	.	.	PUNCT
ejpam-5928	263	1	proof	proof	NOUN
ejpam-5928	263	2	.	.	PUNCT
ejpam-5928	264	1	we	we	PRON
ejpam-5928	264	2	prove	prove	VERB
ejpam-5928	264	3	the	the	DET
ejpam-5928	264	4	parts	part	NOUN
ejpam-5928	264	5	(	(	PUNCT
ejpam-5928	264	6	i	i	NOUN
ejpam-5928	264	7	)	)	PUNCT
ejpam-5928	264	8	and	and	CCONJ
ejpam-5928	264	9	(	(	PUNCT
ejpam-5928	264	10	v	v	NOUN
ejpam-5928	264	11	)	)	PUNCT
ejpam-5928	264	12	because	because	SCONJ
ejpam-5928	264	13	the	the	DET
ejpam-5928	264	14	proof	proof	NOUN
ejpam-5928	264	15	of	of	ADP
ejpam-5928	264	16	the	the	DET
ejpam-5928	264	17	remaining	remain	VERB
ejpam-5928	264	18	points	point	NOUN
ejpam-5928	264	19	are	be	AUX
ejpam-5928	264	20	similar	similar	ADJ
ejpam-5928	264	21	.	.	PUNCT
ejpam-5928	265	1	(	(	PUNCT
ejpam-5928	265	2	i	i	NOUN
ejpam-5928	265	3	)	)	PUNCT
ejpam-5928	265	4	since	since	SCONJ
ejpam-5928	265	5	(	(	PUNCT
ejpam-5928	265	6	˜̃mint	˜̃mint	PROPN
ejpam-5928	265	7	(	(	PUNCT
ejpam-5928	265	8	λ̈	λ̈	PROPN
ejpam-5928	265	9	,	,	PUNCT
ejpam-5928	265	10	ζ̈	ζ̈	NOUN
ejpam-5928	265	11	,	,	PUNCT
ejpam-5928	265	12	µ))c	µ))c	NOUN
ejpam-5928	265	13	=	=	SYM
ejpam-5928	265	14	(	(	PUNCT
ejpam-5928	265	15	˜̃⋃{(λ̈i	˜̃⋃{(λ̈i	NOUN
ejpam-5928	265	16	,	,	PUNCT
ejpam-5928	265	17	ζ̈i	ζ̈i	PROPN
ejpam-5928	265	18	,	,	PUNCT
ejpam-5928	265	19	µ	µ	NUM
ejpam-5928	265	20	)	)	PUNCT
ejpam-5928	265	21	:	:	PUNCT
ejpam-5928	265	22	(	(	PUNCT
ejpam-5928	265	23	λ̈i	λ̈i	NOUN
ejpam-5928	265	24	,	,	PUNCT
ejpam-5928	265	25	ζ̈i	ζ̈i	PROPN
ejpam-5928	265	26	,	,	PUNCT
ejpam-5928	265	27	µ	µ	NOUN
ejpam-5928	265	28	)	)	PUNCT
ejpam-5928	265	29	˜̃∈	˜̃∈	PROPN
ejpam-5928	265	30	˜̃m	˜̃m	PROPN
ejpam-5928	265	31	,	,	PUNCT
ejpam-5928	265	32	(	(	PUNCT
ejpam-5928	265	33	λ̈i	λ̈i	NOUN
ejpam-5928	265	34	,	,	PUNCT
ejpam-5928	265	35	ζ̈i	ζ̈i	PROPN
ejpam-5928	265	36	,	,	PUNCT
ejpam-5928	265	37	µ	µ	NOUN
ejpam-5928	265	38	)	)	PUNCT
ejpam-5928	265	39	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	265	40	(	(	PUNCT
ejpam-5928	265	41	λ̈	λ̈	PROPN
ejpam-5928	265	42	,	,	PUNCT
ejpam-5928	265	43	ζ̈	ζ̈	PROPN
ejpam-5928	265	44	,	,	PUNCT
ejpam-5928	265	45	µ	µ	NOUN
ejpam-5928	265	46	)	)	PUNCT
ejpam-5928	265	47	,	,	PUNCT
ejpam-5928	265	48	i	i	PRON
ejpam-5928	265	49	∈	∈	VERB
ejpam-5928	265	50	i})c	i})c	NOUN
ejpam-5928	265	51	=	=	SYM
ejpam-5928	265	52	˜̃⋂	˜̃⋂	PROPN
ejpam-5928	265	53	{	{	PUNCT
ejpam-5928	265	54	(	(	PUNCT
ejpam-5928	265	55	λ̈i	λ̈i	NOUN
ejpam-5928	265	56	,	,	PUNCT
ejpam-5928	265	57	ζ̈i	ζ̈i	PROPN
ejpam-5928	265	58	,	,	PUNCT
ejpam-5928	265	59	µ	µ	NOUN
ejpam-5928	265	60	)	)	PUNCT
ejpam-5928	265	61	c	c	NOUN
ejpam-5928	265	62	:	:	PUNCT
ejpam-5928	265	63	(	(	PUNCT
ejpam-5928	265	64	λ̈i	λ̈i	NOUN
ejpam-5928	265	65	,	,	PUNCT
ejpam-5928	265	66	ζ̈i	ζ̈i	PROPN
ejpam-5928	265	67	,	,	PUNCT
ejpam-5928	265	68	µ	µ	NOUN
ejpam-5928	265	69	)	)	PUNCT
ejpam-5928	265	70	˜̃∈	˜̃∈	PROPN
ejpam-5928	265	71	˜̃m	˜̃m	PROPN
ejpam-5928	265	72	,	,	PUNCT
ejpam-5928	265	73	(	(	PUNCT
ejpam-5928	265	74	λ̈	λ̈	NOUN
ejpam-5928	265	75	,	,	PUNCT
ejpam-5928	265	76	ζ̈	ζ̈	NOUN
ejpam-5928	265	77	,	,	PUNCT
ejpam-5928	265	78	µ)c	µ)c	ADV
ejpam-5928	265	79	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	265	80	(	(	PUNCT
ejpam-5928	265	81	λ̈i	λ̈i	NOUN
ejpam-5928	265	82	,	,	PUNCT
ejpam-5928	265	83	ζ̈i	ζ̈i	PROPN
ejpam-5928	265	84	,	,	PUNCT
ejpam-5928	265	85	µ	µ	NOUN
ejpam-5928	265	86	)	)	PUNCT
ejpam-5928	265	87	c	c	NOUN
ejpam-5928	265	88	,	,	PUNCT
ejpam-5928	265	89	i	i	PRON
ejpam-5928	265	90	∈	∈	VERB
ejpam-5928	266	1	i	i	PRON
ejpam-5928	266	2	}	}	PUNCT
ejpam-5928	266	3	=	=	SYM
ejpam-5928	266	4	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	266	5	,	,	PUNCT
ejpam-5928	266	6	ζ̈	ζ̈	PROPN
ejpam-5928	266	7	,	,	PUNCT
ejpam-5928	266	8	µ)c	µ)c	NOUN
ejpam-5928	266	9	.	.	PUNCT
ejpam-5928	267	1	(	(	PUNCT
ejpam-5928	267	2	v	v	NOUN
ejpam-5928	267	3	)	)	PUNCT
ejpam-5928	267	4	since	since	SCONJ
ejpam-5928	267	5	˜̃mint	˜̃mint	PROPN
ejpam-5928	267	6	(	(	PUNCT
ejpam-5928	267	7	(	(	PUNCT
ejpam-5928	267	8	λ̈	λ̈	ADJ
ejpam-5928	267	9	,	,	PUNCT
ejpam-5928	267	10	ζ̈	ζ̈	PROPN
ejpam-5928	267	11	,	,	PUNCT
ejpam-5928	267	12	µ	µ	NOUN
ejpam-5928	267	13	)	)	PUNCT
ejpam-5928	267	14	˜̃\(λ̈1	˜̃\(λ̈1	PROPN
ejpam-5928	267	15	,	,	PUNCT
ejpam-5928	267	16	ζ̈1	ζ̈1	NOUN
ejpam-5928	267	17	,	,	PUNCT
ejpam-5928	267	18	µ	µ	NOUN
ejpam-5928	267	19	)	)	PUNCT
ejpam-5928	267	20	)	)	PUNCT
ejpam-5928	268	1	=	=	SYM
ejpam-5928	268	2	˜̃mint((λ̈	˜̃mint((λ̈	PROPN
ejpam-5928	268	3	,	,	PUNCT
ejpam-5928	268	4	ζ̈	ζ̈	PROPN
ejpam-5928	268	5	,	,	PUNCT
ejpam-5928	268	6	µ)˜̃∩	µ)˜̃∩	CCONJ
ejpam-5928	268	7	(	(	PUNCT
ejpam-5928	268	8	λ̈1	λ̈1	PROPN
ejpam-5928	268	9	,	,	PUNCT
ejpam-5928	268	10	ζ̈1	ζ̈1	ADJ
ejpam-5928	268	11	,	,	PUNCT
ejpam-5928	268	12	µ	µ	NOUN
ejpam-5928	268	13	)	)	PUNCT
ejpam-5928	268	14	c)˜̃⊆	c)˜̃⊆	ADJ
ejpam-5928	268	15	˜̃mint	˜̃mint	PUNCT
ejpam-5928	268	16	(	(	PUNCT
ejpam-5928	268	17	λ̈	λ̈	ADJ
ejpam-5928	268	18	,	,	PUNCT
ejpam-5928	268	19	ζ̈	ζ̈	PROPN
ejpam-5928	268	20	,	,	PUNCT
ejpam-5928	268	21	µ)˜̃∩	µ)˜̃∩	CCONJ
ejpam-5928	268	22	˜̃mint	˜̃mint	PROPN
ejpam-5928	268	23	(	(	PUNCT
ejpam-5928	268	24	λ̈1	λ̈1	PROPN
ejpam-5928	268	25	,	,	PUNCT
ejpam-5928	268	26	ζ̈1	ζ̈1	ADJ
ejpam-5928	268	27	,	,	PUNCT
ejpam-5928	268	28	µ	µ	NOUN
ejpam-5928	268	29	)	)	PUNCT
ejpam-5928	268	30	c	c	NOUN
ejpam-5928	268	31	(	(	PUNCT
ejpam-5928	268	32	by	by	ADP
ejpam-5928	268	33	theorem	theorem	ADJ
ejpam-5928	268	34	3(vi	3(vi	NUM
ejpam-5928	268	35	)	)	PUNCT
ejpam-5928	268	36	)	)	PUNCT
ejpam-5928	269	1	=	=	SYM
ejpam-5928	269	2	˜̃mint	˜̃mint	PROPN
ejpam-5928	269	3	(	(	PUNCT
ejpam-5928	269	4	λ̈	λ̈	PROPN
ejpam-5928	269	5	,	,	PUNCT
ejpam-5928	269	6	ζ̈	ζ̈	PROPN
ejpam-5928	269	7	,	,	PUNCT
ejpam-5928	269	8	µ	µ	NOUN
ejpam-5928	269	9	)	)	PUNCT
ejpam-5928	269	10	˜̃∩	˜̃∩	ADV
ejpam-5928	269	11	(	(	PUNCT
ejpam-5928	269	12	˜̃mcl(λ̈1	˜̃mcl(λ̈1	X
ejpam-5928	269	13	,	,	PUNCT
ejpam-5928	269	14	ζ̈1	ζ̈1	ADJ
ejpam-5928	269	15	,	,	PUNCT
ejpam-5928	269	16	µ	µ	NOUN
ejpam-5928	269	17	)	)	PUNCT
ejpam-5928	269	18	)	)	PUNCT
ejpam-5928	269	19	c	c	PROPN
ejpam-5928	270	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	270	2	˜̃mint	˜̃mint	PROPN
ejpam-5928	270	3	(	(	PUNCT
ejpam-5928	270	4	λ̈	λ̈	PROPN
ejpam-5928	270	5	,	,	PUNCT
ejpam-5928	270	6	ζ̈	ζ̈	PROPN
ejpam-5928	270	7	,	,	PUNCT
ejpam-5928	270	8	µ	µ	NOUN
ejpam-5928	270	9	)	)	PUNCT
ejpam-5928	270	10	˜̃∩	˜̃∩	ADV
ejpam-5928	270	11	(	(	PUNCT
ejpam-5928	270	12	˜̃mint	˜̃mint	PROPN
ejpam-5928	270	13	(	(	PUNCT
ejpam-5928	270	14	λ̈1	λ̈1	PROPN
ejpam-5928	270	15	,	,	PUNCT
ejpam-5928	270	16	ζ̈1	ζ̈1	ADJ
ejpam-5928	270	17	,	,	PUNCT
ejpam-5928	270	18	µ	µ	NOUN
ejpam-5928	270	19	)	)	PUNCT
ejpam-5928	270	20	)	)	PUNCT
ejpam-5928	271	1	c	c	NOUN
ejpam-5928	271	2	=	=	SYM
ejpam-5928	271	3	˜̃mint	˜̃mint	PROPN
ejpam-5928	271	4	(	(	PUNCT
ejpam-5928	271	5	λ̈	λ̈	PROPN
ejpam-5928	271	6	,	,	PUNCT
ejpam-5928	271	7	ζ̈	ζ̈	PROPN
ejpam-5928	271	8	,	,	PUNCT
ejpam-5928	271	9	µ	µ	NOUN
ejpam-5928	271	10	)	)	PUNCT
ejpam-5928	271	11	˜̃\	˜̃\	NOUN
ejpam-5928	271	12	˜̃mint	˜̃mint	PUNCT
ejpam-5928	271	13	(	(	PUNCT
ejpam-5928	271	14	λ̈1	λ̈1	PROPN
ejpam-5928	271	15	,	,	PUNCT
ejpam-5928	271	16	ζ̈1	ζ̈1	ADJ
ejpam-5928	271	17	,	,	PUNCT
ejpam-5928	271	18	µ	µ	NOUN
ejpam-5928	271	19	)	)	PUNCT
ejpam-5928	271	20	.	.	PUNCT
ejpam-5928	272	1	definition	definition	NOUN
ejpam-5928	272	2	18	18	NUM
ejpam-5928	272	3	.	.	PUNCT
ejpam-5928	273	1	let	let	VERB
ejpam-5928	273	2	(	(	PUNCT
ejpam-5928	273	3	π	π	X
ejpam-5928	273	4	,	,	PUNCT
ejpam-5928	273	5	˜̃m	˜̃m	PROPN
ejpam-5928	273	6	,	,	PUNCT
ejpam-5928	273	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	273	8	)	)	PUNCT
ejpam-5928	273	9	be	be	VERB
ejpam-5928	273	10	a	a	DET
ejpam-5928	273	11	bsms	bsms	NOUN
ejpam-5928	273	12	and	and	CCONJ
ejpam-5928	273	13	(	(	PUNCT
ejpam-5928	273	14	λ̈	λ̈	PROPN
ejpam-5928	273	15	,	,	PUNCT
ejpam-5928	273	16	ζ̈	ζ̈	PROPN
ejpam-5928	273	17	,	,	PUNCT
ejpam-5928	273	18	µ	µ	NOUN
ejpam-5928	273	19	)	)	PUNCT
ejpam-5928	273	20	˜̃∈	˜̃∈	PROPN
ejpam-5928	273	21	bss(π	bss(π	PROPN
ejpam-5928	273	22	)	)	PUNCT
ejpam-5928	273	23	.	.	PUNCT
ejpam-5928	274	1	then	then	ADV
ejpam-5928	274	2	the	the	DET
ejpam-5928	274	3	˜̃m	˜̃m	ADJ
ejpam-5928	274	4	-	-	PUNCT
ejpam-5928	274	5	boundary	boundary	NOUN
ejpam-5928	274	6	of	of	ADP
ejpam-5928	274	7	(	(	PUNCT
ejpam-5928	274	8	λ̈	λ̈	PROPN
ejpam-5928	274	9	,	,	PUNCT
ejpam-5928	274	10	ζ̈	ζ̈	PROPN
ejpam-5928	274	11	,	,	PUNCT
ejpam-5928	274	12	µ	µ	NOUN
ejpam-5928	274	13	)	)	PUNCT
ejpam-5928	274	14	,	,	PUNCT
ejpam-5928	274	15	denoted	denote	VERB
ejpam-5928	274	16	by	by	ADP
ejpam-5928	274	17	b˜̃m	b˜̃m	PROPN
ejpam-5928	274	18	(	(	PUNCT
ejpam-5928	274	19	λ̈	λ̈	PROPN
ejpam-5928	274	20	,	,	PUNCT
ejpam-5928	274	21	ζ̈	ζ̈	PROPN
ejpam-5928	274	22	,	,	PUNCT
ejpam-5928	274	23	µ	µ	NOUN
ejpam-5928	274	24	)	)	PUNCT
ejpam-5928	274	25	,	,	PUNCT
ejpam-5928	274	26	is	be	AUX
ejpam-5928	274	27	defined	define	VERB
ejpam-5928	274	28	as	as	ADP
ejpam-5928	274	29	b˜̃m	b˜̃m	NOUN
ejpam-5928	274	30	(	(	PUNCT
ejpam-5928	274	31	λ̈	λ̈	PROPN
ejpam-5928	274	32	,	,	PUNCT
ejpam-5928	274	33	ζ̈	ζ̈	PROPN
ejpam-5928	274	34	,	,	PUNCT
ejpam-5928	274	35	µ	µ	NOUN
ejpam-5928	274	36	)	)	PUNCT
ejpam-5928	274	37	=	=	SYM
ejpam-5928	274	38	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	274	39	,	,	PUNCT
ejpam-5928	274	40	ζ̈	ζ̈	PROPN
ejpam-5928	274	41	,	,	PUNCT
ejpam-5928	274	42	µ	µ	NOUN
ejpam-5928	274	43	)	)	PUNCT
ejpam-5928	274	44	˜̃∩	˜̃∩	ADV
ejpam-5928	274	45	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	274	46	,	,	PUNCT
ejpam-5928	274	47	ζ̈	ζ̈	PROPN
ejpam-5928	274	48	,	,	PUNCT
ejpam-5928	274	49	µ)c	µ)c	NOUN
ejpam-5928	274	50	.	.	PUNCT
ejpam-5928	275	1	proposition	proposition	NOUN
ejpam-5928	275	2	4	4	NUM
ejpam-5928	275	3	.	.	PUNCT
ejpam-5928	276	1	it	it	PRON
ejpam-5928	276	2	is	be	AUX
ejpam-5928	276	3	clear	clear	ADJ
ejpam-5928	276	4	that	that	SCONJ
ejpam-5928	276	5	b˜̃m	b˜̃m	NOUN
ejpam-5928	276	6	(	(	PUNCT
ejpam-5928	276	7	λ̈	λ̈	PROPN
ejpam-5928	276	8	,	,	PUNCT
ejpam-5928	276	9	ζ̈	ζ̈	PROPN
ejpam-5928	276	10	,	,	PUNCT
ejpam-5928	276	11	µ	µ	NOUN
ejpam-5928	276	12	)	)	PUNCT
ejpam-5928	276	13	=	=	NOUN
ejpam-5928	276	14	b˜̃m	b˜̃m	NOUN
ejpam-5928	276	15	(	(	PUNCT
ejpam-5928	276	16	λ̈	λ̈	ADJ
ejpam-5928	276	17	,	,	PUNCT
ejpam-5928	276	18	ζ̈	ζ̈	NOUN
ejpam-5928	276	19	,	,	PUNCT
ejpam-5928	276	20	µ)c	µ)c	NOUN
ejpam-5928	276	21	.	.	PUNCT
ejpam-5928	277	1	proof	proof	NOUN
ejpam-5928	277	2	.	.	PUNCT
ejpam-5928	278	1	follows	follow	VERB
ejpam-5928	278	2	directly	directly	ADV
ejpam-5928	278	3	from	from	ADP
ejpam-5928	278	4	definition	definition	NOUN
ejpam-5928	278	5	18	18	NUM
ejpam-5928	278	6	.	.	PUNCT
ejpam-5928	279	1	theorem	theorem	NOUN
ejpam-5928	279	2	6	6	NUM
ejpam-5928	279	3	.	.	PUNCT
ejpam-5928	280	1	let	let	VERB
ejpam-5928	280	2	(	(	PUNCT
ejpam-5928	280	3	π	π	X
ejpam-5928	280	4	,	,	PUNCT
ejpam-5928	280	5	˜̃m	˜̃m	PROPN
ejpam-5928	280	6	,	,	PUNCT
ejpam-5928	280	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	280	8	)	)	PUNCT
ejpam-5928	280	9	be	be	VERB
ejpam-5928	280	10	a	a	DET
ejpam-5928	280	11	bsms	bsms	NOUN
ejpam-5928	280	12	and	and	CCONJ
ejpam-5928	280	13	(	(	PUNCT
ejpam-5928	280	14	λ̈	λ̈	PROPN
ejpam-5928	280	15	,	,	PUNCT
ejpam-5928	280	16	ζ̈	ζ̈	PROPN
ejpam-5928	280	17	,	,	PUNCT
ejpam-5928	280	18	µ	µ	NOUN
ejpam-5928	280	19	)	)	PUNCT
ejpam-5928	280	20	˜̃∈	˜̃∈	PROPN
ejpam-5928	280	21	bss(π	bss(π	PROPN
ejpam-5928	280	22	)	)	PUNCT
ejpam-5928	280	23	.	.	PUNCT
ejpam-5928	281	1	then	then	ADV
ejpam-5928	281	2	(	(	PUNCT
ejpam-5928	281	3	i	i	NOUN
ejpam-5928	281	4	)	)	PUNCT
ejpam-5928	281	5	b˜̃m	b˜̃m	NOUN
ejpam-5928	281	6	(	(	PUNCT
ejpam-5928	281	7	λ̈	λ̈	ADJ
ejpam-5928	281	8	,	,	PUNCT
ejpam-5928	281	9	ζ̈	ζ̈	PROPN
ejpam-5928	281	10	,	,	PUNCT
ejpam-5928	281	11	µ	µ	NOUN
ejpam-5928	281	12	)	)	PUNCT
ejpam-5928	281	13	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	281	14	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	281	15	,	,	PUNCT
ejpam-5928	281	16	ζ̈	ζ̈	PROPN
ejpam-5928	281	17	,	,	PUNCT
ejpam-5928	281	18	µ	µ	NOUN
ejpam-5928	281	19	)	)	PUNCT
ejpam-5928	281	20	.	.	PUNCT
ejpam-5928	282	1	(	(	PUNCT
ejpam-5928	282	2	ii	ii	NOUN
ejpam-5928	282	3	)	)	PUNCT
ejpam-5928	282	4	(	(	PUNCT
ejpam-5928	282	5	λ̈	λ̈	PROPN
ejpam-5928	282	6	,	,	PUNCT
ejpam-5928	282	7	ζ̈	ζ̈	PROPN
ejpam-5928	282	8	,	,	PUNCT
ejpam-5928	282	9	µ	µ	X
ejpam-5928	282	10	)	)	PUNCT
ejpam-5928	282	11	˜̃∪	˜̃∪	PROPN
ejpam-5928	282	12	b˜̃m	b˜̃m	NOUN
ejpam-5928	282	13	(	(	PUNCT
ejpam-5928	282	14	λ̈	λ̈	PROPN
ejpam-5928	282	15	,	,	PUNCT
ejpam-5928	282	16	ζ̈	ζ̈	PROPN
ejpam-5928	282	17	,	,	PUNCT
ejpam-5928	282	18	µ	µ	NOUN
ejpam-5928	282	19	)	)	PUNCT
ejpam-5928	282	20	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	282	21	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	282	22	,	,	PUNCT
ejpam-5928	282	23	ζ̈	ζ̈	PROPN
ejpam-5928	282	24	,	,	PUNCT
ejpam-5928	282	25	µ	µ	NOUN
ejpam-5928	282	26	)	)	PUNCT
ejpam-5928	282	27	.	.	PUNCT
ejpam-5928	283	1	(	(	PUNCT
ejpam-5928	283	2	iii	iii	NOUN
ejpam-5928	283	3	)	)	PUNCT
ejpam-5928	283	4	˜̃mint	˜̃mint	PROPN
ejpam-5928	283	5	(	(	PUNCT
ejpam-5928	283	6	λ̈	λ̈	PROPN
ejpam-5928	283	7	,	,	PUNCT
ejpam-5928	283	8	ζ̈	ζ̈	PROPN
ejpam-5928	283	9	,	,	PUNCT
ejpam-5928	283	10	µ	µ	NOUN
ejpam-5928	283	11	)	)	PUNCT
ejpam-5928	283	12	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	283	13	(	(	PUNCT
ejpam-5928	283	14	λ̈	λ̈	PROPN
ejpam-5928	283	15	,	,	PUNCT
ejpam-5928	283	16	ζ̈	ζ̈	PROPN
ejpam-5928	283	17	,	,	PUNCT
ejpam-5928	283	18	µ	µ	NOUN
ejpam-5928	283	19	)	)	PUNCT
ejpam-5928	283	20	˜̃\	˜̃\	NOUN
ejpam-5928	283	21	b˜̃m	b˜̃m	NOUN
ejpam-5928	283	22	(	(	PUNCT
ejpam-5928	283	23	λ̈	λ̈	PROPN
ejpam-5928	283	24	,	,	PUNCT
ejpam-5928	283	25	ζ̈	ζ̈	PROPN
ejpam-5928	283	26	,	,	PUNCT
ejpam-5928	283	27	µ	µ	NOUN
ejpam-5928	283	28	)	)	PUNCT
ejpam-5928	283	29	.	.	PUNCT
ejpam-5928	284	1	(	(	PUNCT
ejpam-5928	284	2	iv	iv	X
ejpam-5928	284	3	)	)	PUNCT
ejpam-5928	284	4	b˜̃m	b˜̃m	NOUN
ejpam-5928	284	5	(	(	PUNCT
ejpam-5928	284	6	˜̃mint	˜̃mint	PROPN
ejpam-5928	284	7	(	(	PUNCT
ejpam-5928	284	8	λ̈	λ̈	PROPN
ejpam-5928	284	9	,	,	PUNCT
ejpam-5928	284	10	ζ̈	ζ̈	PROPN
ejpam-5928	284	11	,	,	PUNCT
ejpam-5928	284	12	µ	µ	NOUN
ejpam-5928	284	13	)	)	PUNCT
ejpam-5928	284	14	)	)	PUNCT
ejpam-5928	285	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	285	2	b˜̃m(λ̈	b˜̃m(λ̈	PROPN
ejpam-5928	285	3	,	,	PUNCT
ejpam-5928	285	4	ζ̈	ζ̈	PROPN
ejpam-5928	285	5	,	,	PUNCT
ejpam-5928	285	6	µ	µ	NOUN
ejpam-5928	285	7	)	)	PUNCT
ejpam-5928	285	8	.	.	PUNCT
ejpam-5928	286	1	(	(	PUNCT
ejpam-5928	286	2	v	v	NOUN
ejpam-5928	286	3	)	)	PUNCT
ejpam-5928	286	4	b˜̃m	b˜̃m	NOUN
ejpam-5928	286	5	(	(	PUNCT
ejpam-5928	286	6	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	286	7	,	,	PUNCT
ejpam-5928	286	8	ζ̈	ζ̈	PROPN
ejpam-5928	286	9	,	,	PUNCT
ejpam-5928	286	10	µ	µ	NOUN
ejpam-5928	286	11	)	)	PUNCT
ejpam-5928	286	12	)	)	PUNCT
ejpam-5928	287	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	287	2	b˜̃m(λ̈	b˜̃m(λ̈	PROPN
ejpam-5928	287	3	,	,	PUNCT
ejpam-5928	287	4	ζ̈	ζ̈	PROPN
ejpam-5928	287	5	,	,	PUNCT
ejpam-5928	287	6	µ	µ	NOUN
ejpam-5928	287	7	)	)	PUNCT
ejpam-5928	287	8	.	.	PUNCT
ejpam-5928	288	1	r.	r.	PROPN
ejpam-5928	288	2	a.	a.	PROPN
ejpam-5928	288	3	mohammed	mohammed	PROPN
ejpam-5928	288	4	/	/	SYM
ejpam-5928	288	5	eur	eur	PROPN
ejpam-5928	288	6	.	.	PUNCT
ejpam-5928	289	1	j.	j.	PROPN
ejpam-5928	289	2	pure	pure	PROPN
ejpam-5928	289	3	appl	appl	PROPN
ejpam-5928	289	4	.	.	PROPN
ejpam-5928	289	5	math	math	PROPN
ejpam-5928	289	6	,	,	PUNCT
ejpam-5928	289	7	18	18	NUM
ejpam-5928	289	8	(	(	PUNCT
ejpam-5928	289	9	2	2	NUM
ejpam-5928	289	10	)	)	PUNCT
ejpam-5928	289	11	(	(	PUNCT
ejpam-5928	289	12	2025	2025	NUM
ejpam-5928	289	13	)	)	PUNCT
ejpam-5928	289	14	,	,	PUNCT
ejpam-5928	289	15	5928	5928	NUM
ejpam-5928	289	16	11	11	NUM
ejpam-5928	289	17	of	of	ADP
ejpam-5928	289	18	26	26	NUM
ejpam-5928	289	19	proof	proof	NOUN
ejpam-5928	289	20	.	.	PUNCT
ejpam-5928	290	1	(	(	PUNCT
ejpam-5928	290	2	i	i	NOUN
ejpam-5928	290	3	)	)	PUNCT
ejpam-5928	290	4	since	since	SCONJ
ejpam-5928	290	5	b˜̃m	b˜̃m	NOUN
ejpam-5928	290	6	(	(	PUNCT
ejpam-5928	290	7	λ̈	λ̈	PROPN
ejpam-5928	290	8	,	,	PUNCT
ejpam-5928	290	9	ζ̈	ζ̈	PROPN
ejpam-5928	290	10	,	,	PUNCT
ejpam-5928	290	11	µ	µ	NOUN
ejpam-5928	290	12	)	)	PUNCT
ejpam-5928	290	13	=	=	SYM
ejpam-5928	290	14	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	290	15	,	,	PUNCT
ejpam-5928	290	16	ζ̈	ζ̈	PROPN
ejpam-5928	290	17	,	,	PUNCT
ejpam-5928	290	18	µ	µ	NOUN
ejpam-5928	290	19	)	)	PUNCT
ejpam-5928	290	20	˜̃∩	˜̃∩	ADV
ejpam-5928	290	21	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	290	22	,	,	PUNCT
ejpam-5928	290	23	ζ̈	ζ̈	PROPN
ejpam-5928	290	24	,	,	PUNCT
ejpam-5928	290	25	µ)c	µ)c	NOUN
ejpam-5928	290	26	.	.	PUNCT
ejpam-5928	291	1	then	then	ADV
ejpam-5928	291	2	b˜̃m	b˜̃m	PROPN
ejpam-5928	291	3	(	(	PUNCT
ejpam-5928	291	4	λ̈	λ̈	PROPN
ejpam-5928	291	5	,	,	PUNCT
ejpam-5928	291	6	ζ̈	ζ̈	PROPN
ejpam-5928	291	7	,	,	PUNCT
ejpam-5928	291	8	µ	µ	NOUN
ejpam-5928	291	9	)	)	PUNCT
ejpam-5928	291	10	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	291	11	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	291	12	,	,	PUNCT
ejpam-5928	291	13	ζ̈	ζ̈	PROPN
ejpam-5928	291	14	,	,	PUNCT
ejpam-5928	291	15	µ	µ	NOUN
ejpam-5928	291	16	)	)	PUNCT
ejpam-5928	291	17	.	.	PUNCT
ejpam-5928	292	1	(	(	PUNCT
ejpam-5928	292	2	ii	ii	NOUN
ejpam-5928	292	3	)	)	PUNCT
ejpam-5928	292	4	(	(	PUNCT
ejpam-5928	292	5	λ̈	λ̈	PROPN
ejpam-5928	292	6	,	,	PUNCT
ejpam-5928	292	7	ζ̈	ζ̈	PROPN
ejpam-5928	292	8	,	,	PUNCT
ejpam-5928	292	9	µ)˜̃∪	µ)˜̃∪	PROPN
ejpam-5928	292	10	b˜̃m	b˜̃m	NOUN
ejpam-5928	292	11	(	(	PUNCT
ejpam-5928	292	12	λ̈	λ̈	ADJ
ejpam-5928	292	13	,	,	PUNCT
ejpam-5928	292	14	ζ̈	ζ̈	PROPN
ejpam-5928	292	15	,	,	PUNCT
ejpam-5928	292	16	µ	µ	NOUN
ejpam-5928	292	17	)	)	PUNCT
ejpam-5928	292	18	=	=	PUNCT
ejpam-5928	292	19	(	(	PUNCT
ejpam-5928	292	20	λ̈	λ̈	PROPN
ejpam-5928	292	21	,	,	PUNCT
ejpam-5928	292	22	ζ̈	ζ̈	PROPN
ejpam-5928	292	23	,	,	PUNCT
ejpam-5928	292	24	µ)˜̃∪	µ)˜̃∪	PROPN
ejpam-5928	292	25	(	(	PUNCT
ejpam-5928	292	26	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	292	27	,	,	PUNCT
ejpam-5928	292	28	ζ̈	ζ̈	PROPN
ejpam-5928	292	29	,	,	PUNCT
ejpam-5928	292	30	µ)˜̃∩	µ)˜̃∩	ADP
ejpam-5928	292	31	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	292	32	,	,	PUNCT
ejpam-5928	292	33	ζ̈	ζ̈	PROPN
ejpam-5928	292	34	,	,	PUNCT
ejpam-5928	292	35	µ)c	µ)c	ADJ
ejpam-5928	292	36	)	)	PUNCT
ejpam-5928	292	37	=	=	SYM
ejpam-5928	292	38	(	(	PUNCT
ejpam-5928	292	39	(	(	PUNCT
ejpam-5928	292	40	λ̈	λ̈	ADJ
ejpam-5928	292	41	,	,	PUNCT
ejpam-5928	292	42	ζ̈	ζ̈	PROPN
ejpam-5928	292	43	,	,	PUNCT
ejpam-5928	292	44	µ)˜̃∪	µ)˜̃∪	PROPN
ejpam-5928	292	45	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	292	46	,	,	PUNCT
ejpam-5928	292	47	ζ̈	ζ̈	PROPN
ejpam-5928	292	48	,	,	PUNCT
ejpam-5928	292	49	µ))˜̃∩((λ̈	µ))˜̃∩((λ̈	NUM
ejpam-5928	292	50	,	,	PUNCT
ejpam-5928	292	51	ζ̈	ζ̈	PROPN
ejpam-5928	292	52	,	,	PUNCT
ejpam-5928	292	53	µ)˜̃∪	µ)˜̃∪	PROPN
ejpam-5928	292	54	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	292	55	,	,	PUNCT
ejpam-5928	292	56	ζ̈	ζ̈	PROPN
ejpam-5928	292	57	,	,	PUNCT
ejpam-5928	292	58	µ)c	µ)c	ADJ
ejpam-5928	292	59	)	)	PUNCT
ejpam-5928	292	60	=	=	SYM
ejpam-5928	292	61	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	292	62	,	,	PUNCT
ejpam-5928	292	63	ζ̈	ζ̈	PROPN
ejpam-5928	292	64	,	,	PUNCT
ejpam-5928	292	65	µ)˜̃∩((λ̈	µ)˜̃∩((λ̈	NOUN
ejpam-5928	292	66	,	,	PUNCT
ejpam-5928	292	67	ζ̈	ζ̈	PROPN
ejpam-5928	292	68	,	,	PUNCT
ejpam-5928	292	69	µ)˜̃∪	µ)˜̃∪	PROPN
ejpam-5928	292	70	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	292	71	,	,	PUNCT
ejpam-5928	292	72	ζ̈	ζ̈	PROPN
ejpam-5928	292	73	,	,	PUNCT
ejpam-5928	292	74	µ)c)˜̃⊆	µ)c)˜̃⊆	PRON
ejpam-5928	292	75	˜̃mcl(λ̈	˜̃mcl(λ̈	NOUN
ejpam-5928	292	76	,	,	PUNCT
ejpam-5928	292	77	ζ̈	ζ̈	PROPN
ejpam-5928	292	78	,	,	PUNCT
ejpam-5928	292	79	µ	µ	NOUN
ejpam-5928	292	80	)	)	PUNCT
ejpam-5928	292	81	.	.	PUNCT
ejpam-5928	293	1	(	(	PUNCT
ejpam-5928	293	2	iii	iii	X
ejpam-5928	293	3	)	)	PUNCT
ejpam-5928	293	4	(	(	PUNCT
ejpam-5928	293	5	λ̈	λ̈	PROPN
ejpam-5928	293	6	,	,	PUNCT
ejpam-5928	293	7	ζ̈	ζ̈	PROPN
ejpam-5928	293	8	,	,	PUNCT
ejpam-5928	293	9	µ	µ	NOUN
ejpam-5928	293	10	)	)	PUNCT
ejpam-5928	293	11	˜̃\b˜̃m	˜̃\b˜̃m	NOUN
ejpam-5928	293	12	(	(	PUNCT
ejpam-5928	293	13	λ̈	λ̈	PROPN
ejpam-5928	293	14	,	,	PUNCT
ejpam-5928	293	15	ζ̈	ζ̈	PROPN
ejpam-5928	293	16	,	,	PUNCT
ejpam-5928	293	17	µ	µ	NOUN
ejpam-5928	293	18	)	)	PUNCT
ejpam-5928	293	19	=	=	PUNCT
ejpam-5928	293	20	(	(	PUNCT
ejpam-5928	293	21	λ̈	λ̈	PROPN
ejpam-5928	293	22	,	,	PUNCT
ejpam-5928	293	23	ζ̈	ζ̈	NOUN
ejpam-5928	293	24	,	,	PUNCT
ejpam-5928	293	25	µ)˜̃∩(b˜̃m	µ)˜̃∩(b˜̃m	PUNCT
ejpam-5928	293	26	(	(	PUNCT
ejpam-5928	293	27	λ̈	λ̈	ADJ
ejpam-5928	293	28	,	,	PUNCT
ejpam-5928	293	29	ζ̈	ζ̈	NOUN
ejpam-5928	293	30	,	,	PUNCT
ejpam-5928	293	31	µ))c	µ))c	NOUN
ejpam-5928	293	32	=	=	SYM
ejpam-5928	293	33	(	(	PUNCT
ejpam-5928	293	34	λ̈	λ̈	PROPN
ejpam-5928	293	35	,	,	PUNCT
ejpam-5928	293	36	ζ̈	ζ̈	PROPN
ejpam-5928	293	37	,	,	PUNCT
ejpam-5928	293	38	µ)˜̃∩	µ)˜̃∩	ADV
ejpam-5928	293	39	(	(	PUNCT
ejpam-5928	293	40	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	293	41	,	,	PUNCT
ejpam-5928	293	42	ζ̈	ζ̈	PROPN
ejpam-5928	293	43	,	,	PUNCT
ejpam-5928	293	44	µ)˜̃∩	µ)˜̃∩	ADP
ejpam-5928	293	45	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	293	46	,	,	PUNCT
ejpam-5928	293	47	ζ̈	ζ̈	PROPN
ejpam-5928	293	48	,	,	PUNCT
ejpam-5928	293	49	µ)c)c	µ)c)c	NOUN
ejpam-5928	293	50	=	=	SYM
ejpam-5928	293	51	(	(	PUNCT
ejpam-5928	293	52	λ̈	λ̈	PROPN
ejpam-5928	293	53	,	,	PUNCT
ejpam-5928	293	54	ζ̈	ζ̈	PROPN
ejpam-5928	293	55	,	,	PUNCT
ejpam-5928	293	56	µ)˜̃∩	µ)˜̃∩	ADP
ejpam-5928	293	57	(	(	PUNCT
ejpam-5928	293	58	˜̃mint	˜̃mint	PROPN
ejpam-5928	293	59	(	(	PUNCT
ejpam-5928	293	60	λ̈	λ̈	PROPN
ejpam-5928	293	61	,	,	PUNCT
ejpam-5928	293	62	ζ̈	ζ̈	NOUN
ejpam-5928	293	63	,	,	PUNCT
ejpam-5928	293	64	µ)c	µ)c	NOUN
ejpam-5928	293	65	˜̃∪	˜̃∪	PROPN
ejpam-5928	293	66	˜̃mint	˜̃mint	PUNCT
ejpam-5928	293	67	(	(	PUNCT
ejpam-5928	293	68	λ̈	λ̈	PROPN
ejpam-5928	293	69	,	,	PUNCT
ejpam-5928	293	70	ζ̈	ζ̈	PROPN
ejpam-5928	293	71	,	,	PUNCT
ejpam-5928	293	72	µ	µ	NOUN
ejpam-5928	293	73	)	)	PUNCT
ejpam-5928	293	74	)	)	PUNCT
ejpam-5928	294	1	=	=	SYM
ejpam-5928	294	2	(	(	PUNCT
ejpam-5928	294	3	(	(	PUNCT
ejpam-5928	294	4	λ̈	λ̈	ADJ
ejpam-5928	294	5	,	,	PUNCT
ejpam-5928	294	6	ζ̈	ζ̈	PROPN
ejpam-5928	294	7	,	,	PUNCT
ejpam-5928	294	8	µ)˜̃∩	µ)˜̃∩	CCONJ
ejpam-5928	294	9	˜̃mint	˜̃mint	PROPN
ejpam-5928	294	10	(	(	PUNCT
ejpam-5928	294	11	λ̈	λ̈	PROPN
ejpam-5928	294	12	,	,	PUNCT
ejpam-5928	294	13	ζ̈	ζ̈	PROPN
ejpam-5928	294	14	,	,	PUNCT
ejpam-5928	294	15	µ)c)˜̃∪	µ)c)˜̃∪	PROPN
ejpam-5928	294	16	(	(	PUNCT
ejpam-5928	294	17	(	(	PUNCT
ejpam-5928	294	18	λ̈	λ̈	ADJ
ejpam-5928	294	19	,	,	PUNCT
ejpam-5928	294	20	ζ̈	ζ̈	PROPN
ejpam-5928	294	21	,	,	PUNCT
ejpam-5928	294	22	µ)˜̃∩	µ)˜̃∩	CCONJ
ejpam-5928	294	23	˜̃mint	˜̃mint	PROPN
ejpam-5928	294	24	(	(	PUNCT
ejpam-5928	294	25	λ̈	λ̈	PROPN
ejpam-5928	294	26	,	,	PUNCT
ejpam-5928	294	27	ζ̈	ζ̈	PROPN
ejpam-5928	294	28	,	,	PUNCT
ejpam-5928	294	29	µ	µ	NOUN
ejpam-5928	294	30	)	)	PUNCT
ejpam-5928	294	31	)	)	PUNCT
ejpam-5928	295	1	=	=	SYM
ejpam-5928	295	2	(	(	PUNCT
ejpam-5928	295	3	φ	φ	PROPN
ejpam-5928	295	4	,	,	PUNCT
ejpam-5928	295	5	ζ̈	ζ̈	PROPN
ejpam-5928	295	6	,	,	PUNCT
ejpam-5928	295	7	µ)˜̃∪	µ)˜̃∪	PROPN
ejpam-5928	295	8	˜̃mint	˜̃mint	PROPN
ejpam-5928	295	9	(	(	PUNCT
ejpam-5928	295	10	λ̈	λ̈	PROPN
ejpam-5928	295	11	,	,	PUNCT
ejpam-5928	295	12	ζ̈	ζ̈	PROPN
ejpam-5928	295	13	,	,	PUNCT
ejpam-5928	295	14	µ)˜̃⊇	µ)˜̃⊇	PUNCT
ejpam-5928	295	15	˜̃mint	˜̃mint	PROPN
ejpam-5928	295	16	(	(	PUNCT
ejpam-5928	295	17	λ̈	λ̈	PROPN
ejpam-5928	295	18	,	,	PUNCT
ejpam-5928	295	19	ζ̈	ζ̈	PROPN
ejpam-5928	295	20	,	,	PUNCT
ejpam-5928	295	21	µ	µ	NOUN
ejpam-5928	295	22	)	)	PUNCT
ejpam-5928	295	23	.	.	PUNCT
ejpam-5928	296	1	(	(	PUNCT
ejpam-5928	296	2	iv	iv	X
ejpam-5928	296	3	)	)	PUNCT
ejpam-5928	296	4	b˜̃m	b˜̃m	NOUN
ejpam-5928	296	5	(	(	PUNCT
ejpam-5928	296	6	˜̃mint	˜̃mint	PROPN
ejpam-5928	296	7	(	(	PUNCT
ejpam-5928	296	8	λ̈	λ̈	PROPN
ejpam-5928	296	9	,	,	PUNCT
ejpam-5928	296	10	ζ̈	ζ̈	PROPN
ejpam-5928	296	11	,	,	PUNCT
ejpam-5928	296	12	µ	µ	NOUN
ejpam-5928	296	13	)	)	PUNCT
ejpam-5928	296	14	)	)	PUNCT
ejpam-5928	297	1	=	=	SYM
ejpam-5928	297	2	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	297	3	(	(	PUNCT
ejpam-5928	297	4	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	297	5	,	,	PUNCT
ejpam-5928	297	6	ζ̈	ζ̈	PROPN
ejpam-5928	297	7	,	,	PUNCT
ejpam-5928	297	8	µ))˜̃∩	µ))˜̃∩	ADV
ejpam-5928	297	9	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	297	10	(	(	PUNCT
ejpam-5928	297	11	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	297	12	,	,	PUNCT
ejpam-5928	297	13	ζ̈	ζ̈	PROPN
ejpam-5928	297	14	,	,	PUNCT
ejpam-5928	297	15	µ))c	µ))c	NOUN
ejpam-5928	297	16	=	=	SYM
ejpam-5928	297	17	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	297	18	(	(	PUNCT
ejpam-5928	297	19	˜̃mint(λ̈	˜̃mint(λ̈	PROPN
ejpam-5928	297	20	,	,	PUNCT
ejpam-5928	297	21	ζ̈	ζ̈	PROPN
ejpam-5928	297	22	,	,	PUNCT
ejpam-5928	297	23	µ))˜̃∩	µ))˜̃∩	ADV
ejpam-5928	297	24	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	297	25	(	(	PUNCT
ejpam-5928	297	26	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	297	27	,	,	PUNCT
ejpam-5928	297	28	ζ̈	ζ̈	PROPN
ejpam-5928	297	29	,	,	PUNCT
ejpam-5928	297	30	µ)c)˜̃⊆	µ)c)˜̃⊆	PRON
ejpam-5928	297	31	˜̃mcl(λ̈	˜̃mcl(λ̈	NOUN
ejpam-5928	297	32	,	,	PUNCT
ejpam-5928	297	33	ζ̈	ζ̈	PROPN
ejpam-5928	297	34	,	,	PUNCT
ejpam-5928	297	35	µ)˜̃∩	µ)˜̃∩	ADP
ejpam-5928	297	36	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	297	37	,	,	PUNCT
ejpam-5928	297	38	ζ̈	ζ̈	PROPN
ejpam-5928	297	39	,	,	PUNCT
ejpam-5928	297	40	µ)c	µ)c	NOUN
ejpam-5928	297	41	=	=	SYM
ejpam-5928	297	42	b˜̃m	b˜̃m	NOUN
ejpam-5928	297	43	(	(	PUNCT
ejpam-5928	297	44	λ̈	λ̈	ADJ
ejpam-5928	297	45	,	,	PUNCT
ejpam-5928	297	46	ζ̈	ζ̈	PROPN
ejpam-5928	297	47	,	,	PUNCT
ejpam-5928	297	48	µ	µ	NOUN
ejpam-5928	297	49	)	)	PUNCT
ejpam-5928	297	50	.	.	PUNCT
ejpam-5928	298	1	(	(	PUNCT
ejpam-5928	298	2	v	v	NOUN
ejpam-5928	298	3	)	)	PUNCT
ejpam-5928	298	4	b˜̃m	b˜̃m	NOUN
ejpam-5928	298	5	(	(	PUNCT
ejpam-5928	298	6	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	298	7	,	,	PUNCT
ejpam-5928	298	8	ζ̈	ζ̈	PROPN
ejpam-5928	298	9	,	,	PUNCT
ejpam-5928	298	10	µ	µ	NOUN
ejpam-5928	298	11	)	)	PUNCT
ejpam-5928	298	12	)	)	PUNCT
ejpam-5928	299	1	=	=	SYM
ejpam-5928	299	2	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	299	3	(	(	PUNCT
ejpam-5928	299	4	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	299	5	,	,	PUNCT
ejpam-5928	299	6	ζ̈	ζ̈	PROPN
ejpam-5928	299	7	,	,	PUNCT
ejpam-5928	299	8	µ))˜̃∩	µ))˜̃∩	ADV
ejpam-5928	299	9	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	299	10	(	(	PUNCT
ejpam-5928	299	11	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	299	12	,	,	PUNCT
ejpam-5928	299	13	ζ̈	ζ̈	PROPN
ejpam-5928	299	14	,	,	PUNCT
ejpam-5928	299	15	µ))c˜̃⊆	µ))c˜̃⊆	ADP
ejpam-5928	299	16	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	299	17	,	,	PUNCT
ejpam-5928	299	18	ζ̈	ζ̈	PROPN
ejpam-5928	299	19	,	,	PUNCT
ejpam-5928	299	20	µ)˜̃∩	µ)˜̃∩	ADP
ejpam-5928	299	21	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	299	22	,	,	PUNCT
ejpam-5928	299	23	ζ̈	ζ̈	PROPN
ejpam-5928	299	24	,	,	PUNCT
ejpam-5928	299	25	µ)c	µ)c	NOUN
ejpam-5928	299	26	=	=	SYM
ejpam-5928	299	27	b˜̃m	b˜̃m	NOUN
ejpam-5928	299	28	(	(	PUNCT
ejpam-5928	299	29	λ̈	λ̈	ADJ
ejpam-5928	299	30	,	,	PUNCT
ejpam-5928	299	31	ζ̈	ζ̈	PROPN
ejpam-5928	299	32	,	,	PUNCT
ejpam-5928	299	33	µ	µ	NOUN
ejpam-5928	299	34	)	)	PUNCT
ejpam-5928	299	35	.	.	PUNCT
ejpam-5928	300	1	theorem	theorem	ADJ
ejpam-5928	300	2	7	7	NUM
ejpam-5928	300	3	.	.	PUNCT
ejpam-5928	301	1	let	let	VERB
ejpam-5928	301	2	(	(	PUNCT
ejpam-5928	301	3	π	π	X
ejpam-5928	301	4	,	,	PUNCT
ejpam-5928	301	5	˜̃m	˜̃m	PROPN
ejpam-5928	301	6	,	,	PUNCT
ejpam-5928	301	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	301	8	)	)	PUNCT
ejpam-5928	301	9	be	be	VERB
ejpam-5928	301	10	a	a	DET
ejpam-5928	301	11	bsms	bsms	NOUN
ejpam-5928	301	12	and	and	CCONJ
ejpam-5928	301	13	(	(	PUNCT
ejpam-5928	301	14	λ̈	λ̈	PROPN
ejpam-5928	301	15	,	,	PUNCT
ejpam-5928	301	16	ζ̈	ζ̈	PROPN
ejpam-5928	301	17	,	,	PUNCT
ejpam-5928	301	18	µ	µ	NOUN
ejpam-5928	301	19	)	)	PUNCT
ejpam-5928	301	20	˜̃∈	˜̃∈	PROPN
ejpam-5928	301	21	bss(π	bss(π	PROPN
ejpam-5928	301	22	)	)	PUNCT
ejpam-5928	301	23	.	.	PUNCT
ejpam-5928	302	1	then	then	ADV
ejpam-5928	302	2	b˜̃m	b˜̃m	PROPN
ejpam-5928	302	3	(	(	PUNCT
ejpam-5928	302	4	λ̈	λ̈	PROPN
ejpam-5928	302	5	,	,	PUNCT
ejpam-5928	302	6	ζ̈	ζ̈	PROPN
ejpam-5928	302	7	,	,	PUNCT
ejpam-5928	302	8	µ	µ	NOUN
ejpam-5928	302	9	)	)	PUNCT
ejpam-5928	302	10	˜̃∩	˜̃∩	ADV
ejpam-5928	302	11	˜̃mint	˜̃mint	PROPN
ejpam-5928	302	12	(	(	PUNCT
ejpam-5928	302	13	λ̈	λ̈	PROPN
ejpam-5928	302	14	,	,	PUNCT
ejpam-5928	302	15	ζ̈	ζ̈	PROPN
ejpam-5928	302	16	,	,	PUNCT
ejpam-5928	302	17	µ	µ	NOUN
ejpam-5928	302	18	)	)	PUNCT
ejpam-5928	302	19	=	=	SYM
ejpam-5928	302	20	(	(	PUNCT
ejpam-5928	302	21	φ	φ	PROPN
ejpam-5928	302	22	,	,	PUNCT
ejpam-5928	302	23	ζ̈	ζ̈	PROPN
ejpam-5928	302	24	,	,	PUNCT
ejpam-5928	302	25	µ	µ	NOUN
ejpam-5928	302	26	)	)	PUNCT
ejpam-5928	302	27	.	.	PUNCT
ejpam-5928	303	1	r.	r.	PROPN
ejpam-5928	303	2	a.	a.	PROPN
ejpam-5928	303	3	mohammed	mohammed	PROPN
ejpam-5928	303	4	/	/	SYM
ejpam-5928	303	5	eur	eur	PROPN
ejpam-5928	303	6	.	.	PUNCT
ejpam-5928	304	1	j.	j.	PROPN
ejpam-5928	304	2	pure	pure	PROPN
ejpam-5928	304	3	appl	appl	PROPN
ejpam-5928	304	4	.	.	PROPN
ejpam-5928	304	5	math	math	PROPN
ejpam-5928	304	6	,	,	PUNCT
ejpam-5928	304	7	18	18	NUM
ejpam-5928	304	8	(	(	PUNCT
ejpam-5928	304	9	2	2	NUM
ejpam-5928	304	10	)	)	PUNCT
ejpam-5928	304	11	(	(	PUNCT
ejpam-5928	304	12	2025	2025	NUM
ejpam-5928	304	13	)	)	PUNCT
ejpam-5928	304	14	,	,	PUNCT
ejpam-5928	304	15	5928	5928	NUM
ejpam-5928	304	16	12	12	NUM
ejpam-5928	304	17	of	of	ADP
ejpam-5928	304	18	26	26	NUM
ejpam-5928	304	19	proof	proof	NOUN
ejpam-5928	304	20	.	.	PUNCT
ejpam-5928	305	1	we	we	PRON
ejpam-5928	305	2	start	start	VERB
ejpam-5928	305	3	by	by	ADP
ejpam-5928	305	4	b˜̃m	b˜̃m	PROPN
ejpam-5928	305	5	(	(	PUNCT
ejpam-5928	305	6	λ̈	λ̈	PROPN
ejpam-5928	305	7	,	,	PUNCT
ejpam-5928	305	8	ζ̈	ζ̈	PROPN
ejpam-5928	305	9	,	,	PUNCT
ejpam-5928	305	10	µ)˜̃∩	µ)˜̃∩	CCONJ
ejpam-5928	305	11	˜̃mint	˜̃mint	PROPN
ejpam-5928	305	12	(	(	PUNCT
ejpam-5928	305	13	λ̈	λ̈	PROPN
ejpam-5928	305	14	,	,	PUNCT
ejpam-5928	305	15	ζ̈	ζ̈	PROPN
ejpam-5928	305	16	,	,	PUNCT
ejpam-5928	305	17	µ	µ	NOUN
ejpam-5928	305	18	)	)	PUNCT
ejpam-5928	305	19	=	=	SYM
ejpam-5928	305	20	(	(	PUNCT
ejpam-5928	305	21	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	305	22	,	,	PUNCT
ejpam-5928	305	23	ζ̈	ζ̈	PROPN
ejpam-5928	305	24	,	,	PUNCT
ejpam-5928	305	25	µ	µ	NOUN
ejpam-5928	305	26	)	)	PUNCT
ejpam-5928	305	27	˜̃\	˜̃\	NOUN
ejpam-5928	305	28	˜̃mint	˜̃mint	PUNCT
ejpam-5928	305	29	(	(	PUNCT
ejpam-5928	305	30	λ̈	λ̈	PROPN
ejpam-5928	305	31	,	,	PUNCT
ejpam-5928	305	32	ζ̈	ζ̈	NOUN
ejpam-5928	305	33	,	,	PUNCT
ejpam-5928	305	34	µ))˜̃∩	µ))˜̃∩	ADV
ejpam-5928	305	35	˜̃mint	˜̃mint	PROPN
ejpam-5928	305	36	(	(	PUNCT
ejpam-5928	305	37	λ̈	λ̈	PROPN
ejpam-5928	305	38	,	,	PUNCT
ejpam-5928	305	39	ζ̈	ζ̈	PROPN
ejpam-5928	305	40	,	,	PUNCT
ejpam-5928	305	41	µ	µ	NOUN
ejpam-5928	305	42	)	)	PUNCT
ejpam-5928	305	43	=	=	SYM
ejpam-5928	305	44	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	305	45	,	,	PUNCT
ejpam-5928	305	46	ζ̈	ζ̈	PROPN
ejpam-5928	305	47	,	,	PUNCT
ejpam-5928	305	48	µ)˜̃∩	µ)˜̃∩	CCONJ
ejpam-5928	305	49	˜̃mint	˜̃mint	PROPN
ejpam-5928	305	50	(	(	PUNCT
ejpam-5928	305	51	λ̈	λ̈	PROPN
ejpam-5928	305	52	,	,	PUNCT
ejpam-5928	305	53	ζ̈	ζ̈	NOUN
ejpam-5928	305	54	,	,	PUNCT
ejpam-5928	305	55	µ)c	µ)c	PUNCT
ejpam-5928	305	56	˜̃∩	˜̃∩	ADV
ejpam-5928	305	57	˜̃mint	˜̃mint	PROPN
ejpam-5928	305	58	(	(	PUNCT
ejpam-5928	305	59	λ̈	λ̈	PROPN
ejpam-5928	305	60	,	,	PUNCT
ejpam-5928	305	61	ζ̈	ζ̈	PROPN
ejpam-5928	305	62	,	,	PUNCT
ejpam-5928	305	63	µ	µ	NOUN
ejpam-5928	305	64	)	)	PUNCT
ejpam-5928	305	65	=	=	SYM
ejpam-5928	305	66	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	305	67	,	,	PUNCT
ejpam-5928	305	68	ζ̈	ζ̈	PROPN
ejpam-5928	305	69	,	,	PUNCT
ejpam-5928	305	70	µ)˜̃∩(φ	µ)˜̃∩(φ	NUM
ejpam-5928	305	71	,	,	PUNCT
ejpam-5928	305	72	ζ̈	ζ̈	PROPN
ejpam-5928	305	73	,	,	PUNCT
ejpam-5928	305	74	µ	µ	NOUN
ejpam-5928	305	75	)	)	PUNCT
ejpam-5928	305	76	=	=	SYM
ejpam-5928	305	77	(	(	PUNCT
ejpam-5928	305	78	φ	φ	PROPN
ejpam-5928	305	79	,	,	PUNCT
ejpam-5928	305	80	ζ̈	ζ̈	PROPN
ejpam-5928	305	81	,	,	PUNCT
ejpam-5928	305	82	µ	µ	NOUN
ejpam-5928	305	83	)	)	PUNCT
ejpam-5928	305	84	.	.	PUNCT
ejpam-5928	306	1	theorem	theorem	ADJ
ejpam-5928	306	2	8	8	NUM
ejpam-5928	306	3	.	.	PUNCT
ejpam-5928	307	1	let	let	VERB
ejpam-5928	307	2	(	(	PUNCT
ejpam-5928	307	3	π	π	X
ejpam-5928	307	4	,	,	PUNCT
ejpam-5928	307	5	˜̃m	˜̃m	PROPN
ejpam-5928	307	6	,	,	PUNCT
ejpam-5928	307	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	307	8	)	)	PUNCT
ejpam-5928	307	9	be	be	VERB
ejpam-5928	307	10	a	a	DET
ejpam-5928	307	11	bsms	bsms	NOUN
ejpam-5928	307	12	and	and	CCONJ
ejpam-5928	307	13	(	(	PUNCT
ejpam-5928	307	14	λ̈	λ̈	PROPN
ejpam-5928	307	15	,	,	PUNCT
ejpam-5928	307	16	ζ̈	ζ̈	PROPN
ejpam-5928	307	17	,	,	PUNCT
ejpam-5928	307	18	µ	µ	NOUN
ejpam-5928	307	19	)	)	PUNCT
ejpam-5928	307	20	˜̃∈	˜̃∈	PROPN
ejpam-5928	307	21	bss(π	bss(π	PROPN
ejpam-5928	307	22	)	)	PUNCT
ejpam-5928	307	23	.	.	PUNCT
ejpam-5928	308	1	the	the	DET
ejpam-5928	308	2	following	follow	VERB
ejpam-5928	308	3	points	point	NOUN
ejpam-5928	308	4	are	be	AUX
ejpam-5928	308	5	true	true	ADJ
ejpam-5928	308	6	:	:	PUNCT
ejpam-5928	308	7	(	(	PUNCT
ejpam-5928	308	8	i	i	NOUN
ejpam-5928	308	9	)	)	PUNCT
ejpam-5928	308	10	if	if	SCONJ
ejpam-5928	308	11	(	(	PUNCT
ejpam-5928	308	12	λ̈	λ̈	NOUN
ejpam-5928	308	13	,	,	PUNCT
ejpam-5928	308	14	ζ̈	ζ̈	PROPN
ejpam-5928	308	15	,	,	PUNCT
ejpam-5928	308	16	µ	µ	NOUN
ejpam-5928	308	17	)	)	PUNCT
ejpam-5928	308	18	˜̃∈	˜̃∈	PROPN
ejpam-5928	308	19	˜̃m	˜̃m	PROPN
ejpam-5928	308	20	,	,	PUNCT
ejpam-5928	308	21	then	then	ADV
ejpam-5928	308	22	(	(	PUNCT
ejpam-5928	308	23	λ̈	λ̈	ADJ
ejpam-5928	308	24	,	,	PUNCT
ejpam-5928	308	25	ζ̈	ζ̈	PROPN
ejpam-5928	308	26	,	,	PUNCT
ejpam-5928	308	27	µ	µ	NOUN
ejpam-5928	308	28	)	)	PUNCT
ejpam-5928	308	29	˜̃∩	˜̃∩	ADV
ejpam-5928	308	30	b˜̃m	b˜̃m	NOUN
ejpam-5928	308	31	(	(	PUNCT
ejpam-5928	308	32	λ̈	λ̈	PROPN
ejpam-5928	308	33	,	,	PUNCT
ejpam-5928	308	34	ζ̈	ζ̈	PROPN
ejpam-5928	308	35	,	,	PUNCT
ejpam-5928	308	36	µ	µ	NOUN
ejpam-5928	308	37	)	)	PUNCT
ejpam-5928	308	38	=	=	SYM
ejpam-5928	308	39	(	(	PUNCT
ejpam-5928	308	40	φ	φ	PROPN
ejpam-5928	308	41	,	,	PUNCT
ejpam-5928	308	42	ζ̈	ζ̈	PROPN
ejpam-5928	308	43	,	,	PUNCT
ejpam-5928	308	44	µ	µ	NOUN
ejpam-5928	308	45	)	)	PUNCT
ejpam-5928	308	46	.	.	PUNCT
ejpam-5928	309	1	(	(	PUNCT
ejpam-5928	309	2	ii	ii	NOUN
ejpam-5928	309	3	)	)	PUNCT
ejpam-5928	309	4	if	if	SCONJ
ejpam-5928	309	5	(	(	PUNCT
ejpam-5928	309	6	λ̈	λ̈	NOUN
ejpam-5928	309	7	,	,	PUNCT
ejpam-5928	309	8	ζ̈	ζ̈	PROPN
ejpam-5928	309	9	,	,	PUNCT
ejpam-5928	309	10	µ	µ	NOUN
ejpam-5928	309	11	)	)	PUNCT
ejpam-5928	309	12	is	be	AUX
ejpam-5928	309	13	˜̃m	˜̃m	ADV
ejpam-5928	309	14	-	-	PUNCT
ejpam-5928	309	15	closed	closed	ADJ
ejpam-5928	309	16	,	,	PUNCT
ejpam-5928	309	17	then	then	ADV
ejpam-5928	309	18	b˜̃m	b˜̃m	PROPN
ejpam-5928	309	19	(	(	PUNCT
ejpam-5928	309	20	λ̈	λ̈	PROPN
ejpam-5928	309	21	,	,	PUNCT
ejpam-5928	309	22	ζ̈	ζ̈	PROPN
ejpam-5928	309	23	,	,	PUNCT
ejpam-5928	309	24	µ	µ	NOUN
ejpam-5928	309	25	)	)	PUNCT
ejpam-5928	309	26	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	309	27	(	(	PUNCT
ejpam-5928	309	28	λ̈	λ̈	PROPN
ejpam-5928	309	29	,	,	PUNCT
ejpam-5928	309	30	ζ̈	ζ̈	PROPN
ejpam-5928	309	31	,	,	PUNCT
ejpam-5928	309	32	µ	µ	NOUN
ejpam-5928	309	33	)	)	PUNCT
ejpam-5928	309	34	.	.	PUNCT
ejpam-5928	310	1	proof	proof	NOUN
ejpam-5928	310	2	.	.	PUNCT
ejpam-5928	311	1	(	(	PUNCT
ejpam-5928	311	2	i	i	NOUN
ejpam-5928	311	3	)	)	PUNCT
ejpam-5928	311	4	suppose	suppose	VERB
ejpam-5928	311	5	(	(	PUNCT
ejpam-5928	311	6	λ̈	λ̈	ADJ
ejpam-5928	311	7	,	,	PUNCT
ejpam-5928	311	8	ζ̈	ζ̈	PROPN
ejpam-5928	311	9	,	,	PUNCT
ejpam-5928	311	10	µ	µ	NOUN
ejpam-5928	311	11	)	)	PUNCT
ejpam-5928	311	12	˜̃∈	˜̃∈	PROPN
ejpam-5928	311	13	˜̃m	˜̃m	PROPN
ejpam-5928	311	14	.	.	PUNCT
ejpam-5928	312	1	then	then	ADV
ejpam-5928	312	2	by	by	ADP
ejpam-5928	312	3	theorem	theorem	ADJ
ejpam-5928	312	4	3	3	NUM
ejpam-5928	312	5	(	(	PUNCT
ejpam-5928	312	6	iii	iii	NOUN
ejpam-5928	312	7	)	)	PUNCT
ejpam-5928	312	8	,	,	PUNCT
ejpam-5928	312	9	we	we	PRON
ejpam-5928	312	10	have	have	VERB
ejpam-5928	312	11	(	(	PUNCT
ejpam-5928	312	12	λ̈	λ̈	ADJ
ejpam-5928	312	13	,	,	PUNCT
ejpam-5928	312	14	ζ̈	ζ̈	PROPN
ejpam-5928	312	15	,	,	PUNCT
ejpam-5928	312	16	µ	µ	NOUN
ejpam-5928	312	17	)	)	PUNCT
ejpam-5928	312	18	=	=	SYM
ejpam-5928	312	19	˜̃mint	˜̃mint	PROPN
ejpam-5928	312	20	(	(	PUNCT
ejpam-5928	312	21	λ̈	λ̈	PROPN
ejpam-5928	312	22	,	,	PUNCT
ejpam-5928	312	23	ζ̈	ζ̈	PROPN
ejpam-5928	312	24	,	,	PUNCT
ejpam-5928	312	25	µ	µ	NOUN
ejpam-5928	312	26	)	)	PUNCT
ejpam-5928	312	27	.	.	PUNCT
ejpam-5928	313	1	since	since	SCONJ
ejpam-5928	313	2	˜̃mint	˜̃mint	PROPN
ejpam-5928	313	3	(	(	PUNCT
ejpam-5928	313	4	λ̈	λ̈	PROPN
ejpam-5928	313	5	,	,	PUNCT
ejpam-5928	313	6	ζ̈	ζ̈	PROPN
ejpam-5928	313	7	,	,	PUNCT
ejpam-5928	313	8	µ	µ	NOUN
ejpam-5928	313	9	)	)	PUNCT
ejpam-5928	313	10	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	313	11	(	(	PUNCT
ejpam-5928	313	12	b˜̃m	b˜̃m	NOUN
ejpam-5928	313	13	(	(	PUNCT
ejpam-5928	313	14	λ̈	λ̈	ADJ
ejpam-5928	313	15	,	,	PUNCT
ejpam-5928	313	16	ζ̈	ζ̈	NOUN
ejpam-5928	313	17	,	,	PUNCT
ejpam-5928	313	18	µ))c	µ))c	NOUN
ejpam-5928	313	19	.	.	PUNCT
ejpam-5928	314	1	that	that	PRON
ejpam-5928	314	2	means	mean	VERB
ejpam-5928	314	3	(	(	PUNCT
ejpam-5928	314	4	λ̈	λ̈	ADJ
ejpam-5928	314	5	,	,	PUNCT
ejpam-5928	314	6	ζ̈	ζ̈	PROPN
ejpam-5928	314	7	,	,	PUNCT
ejpam-5928	314	8	µ	µ	NOUN
ejpam-5928	314	9	)	)	PUNCT
ejpam-5928	314	10	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	314	11	(	(	PUNCT
ejpam-5928	314	12	b˜̃m	b˜̃m	NOUN
ejpam-5928	314	13	(	(	PUNCT
ejpam-5928	314	14	λ̈	λ̈	ADJ
ejpam-5928	314	15	,	,	PUNCT
ejpam-5928	314	16	ζ̈	ζ̈	NOUN
ejpam-5928	314	17	,	,	PUNCT
ejpam-5928	314	18	µ))c	µ))c	NOUN
ejpam-5928	314	19	.	.	PUNCT
ejpam-5928	315	1	therefore	therefore	ADV
ejpam-5928	315	2	,	,	PUNCT
ejpam-5928	315	3	(	(	PUNCT
ejpam-5928	315	4	λ̈	λ̈	ADJ
ejpam-5928	315	5	,	,	PUNCT
ejpam-5928	315	6	ζ̈	ζ̈	PROPN
ejpam-5928	315	7	,	,	PUNCT
ejpam-5928	315	8	µ	µ	NOUN
ejpam-5928	315	9	)	)	PUNCT
ejpam-5928	315	10	˜̃∩	˜̃∩	ADV
ejpam-5928	315	11	b˜̃m	b˜̃m	NOUN
ejpam-5928	315	12	(	(	PUNCT
ejpam-5928	315	13	λ̈	λ̈	PROPN
ejpam-5928	315	14	,	,	PUNCT
ejpam-5928	315	15	ζ̈	ζ̈	PROPN
ejpam-5928	315	16	,	,	PUNCT
ejpam-5928	315	17	µ	µ	NOUN
ejpam-5928	315	18	)	)	PUNCT
ejpam-5928	315	19	=	=	SYM
ejpam-5928	315	20	(	(	PUNCT
ejpam-5928	315	21	φ	φ	PROPN
ejpam-5928	315	22	,	,	PUNCT
ejpam-5928	315	23	ζ̈	ζ̈	PROPN
ejpam-5928	315	24	,	,	PUNCT
ejpam-5928	315	25	µ	µ	NOUN
ejpam-5928	315	26	)	)	PUNCT
ejpam-5928	315	27	.	.	PUNCT
ejpam-5928	316	1	(	(	PUNCT
ejpam-5928	316	2	ii	ii	NOUN
ejpam-5928	316	3	)	)	PUNCT
ejpam-5928	316	4	by	by	ADP
ejpam-5928	316	5	theorem	theorem	NOUN
ejpam-5928	316	6	6	6	NUM
ejpam-5928	316	7	(	(	PUNCT
ejpam-5928	316	8	i	i	NOUN
ejpam-5928	316	9	)	)	PUNCT
ejpam-5928	316	10	,	,	PUNCT
ejpam-5928	316	11	we	we	PRON
ejpam-5928	316	12	have	have	VERB
ejpam-5928	316	13	b˜̃m	b˜̃m	NOUN
ejpam-5928	316	14	(	(	PUNCT
ejpam-5928	316	15	λ̈	λ̈	ADJ
ejpam-5928	316	16	,	,	PUNCT
ejpam-5928	316	17	ζ̈	ζ̈	PROPN
ejpam-5928	316	18	,	,	PUNCT
ejpam-5928	316	19	µ	µ	NOUN
ejpam-5928	316	20	)	)	PUNCT
ejpam-5928	316	21	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	316	22	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	316	23	,	,	PUNCT
ejpam-5928	316	24	ζ̈	ζ̈	PROPN
ejpam-5928	316	25	,	,	PUNCT
ejpam-5928	316	26	µ	µ	NOUN
ejpam-5928	316	27	)	)	PUNCT
ejpam-5928	316	28	.	.	PUNCT
ejpam-5928	317	1	since	since	SCONJ
ejpam-5928	317	2	(	(	PUNCT
ejpam-5928	317	3	λ̈	λ̈	PROPN
ejpam-5928	317	4	,	,	PUNCT
ejpam-5928	317	5	ζ̈	ζ̈	PROPN
ejpam-5928	317	6	,	,	PUNCT
ejpam-5928	317	7	µ	µ	NOUN
ejpam-5928	317	8	)	)	PUNCT
ejpam-5928	317	9	is	be	AUX
ejpam-5928	317	10	an	an	DET
ejpam-5928	317	11	˜̃m	˜̃m	ADV
ejpam-5928	317	12	-	-	PUNCT
ejpam-5928	317	13	closed	close	VERB
ejpam-5928	317	14	set	set	NOUN
ejpam-5928	317	15	,	,	PUNCT
ejpam-5928	317	16	then	then	ADV
ejpam-5928	317	17	b˜̃m	b˜̃m	PROPN
ejpam-5928	317	18	(	(	PUNCT
ejpam-5928	317	19	λ̈	λ̈	PROPN
ejpam-5928	317	20	,	,	PUNCT
ejpam-5928	317	21	ζ̈	ζ̈	PROPN
ejpam-5928	317	22	,	,	PUNCT
ejpam-5928	317	23	µ	µ	NOUN
ejpam-5928	317	24	)	)	PUNCT
ejpam-5928	317	25	˜̃⊆(λ̈	˜̃⊆(λ̈	NOUN
ejpam-5928	317	26	,	,	PUNCT
ejpam-5928	317	27	ζ̈	ζ̈	PROPN
ejpam-5928	317	28	,	,	PUNCT
ejpam-5928	317	29	µ	µ	NOUN
ejpam-5928	317	30	)	)	PUNCT
ejpam-5928	317	31	.	.	PUNCT
ejpam-5928	318	1	theorem	theorem	VERB
ejpam-5928	318	2	9	9	NUM
ejpam-5928	318	3	.	.	PUNCT
ejpam-5928	319	1	let	let	VERB
ejpam-5928	319	2	(	(	PUNCT
ejpam-5928	319	3	π	π	X
ejpam-5928	319	4	,	,	PUNCT
ejpam-5928	319	5	˜̃m	˜̃m	PROPN
ejpam-5928	319	6	,	,	PUNCT
ejpam-5928	319	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	319	8	)	)	PUNCT
ejpam-5928	319	9	be	be	VERB
ejpam-5928	319	10	a	a	DET
ejpam-5928	319	11	bsms	bsms	NOUN
ejpam-5928	319	12	and	and	CCONJ
ejpam-5928	319	13	(	(	PUNCT
ejpam-5928	319	14	λ̈	λ̈	PROPN
ejpam-5928	319	15	,	,	PUNCT
ejpam-5928	319	16	ζ̈	ζ̈	PROPN
ejpam-5928	319	17	,	,	PUNCT
ejpam-5928	319	18	µ	µ	NOUN
ejpam-5928	319	19	)	)	PUNCT
ejpam-5928	319	20	˜̃∈	˜̃∈	PROPN
ejpam-5928	319	21	bss(π	bss(π	PROPN
ejpam-5928	319	22	)	)	PUNCT
ejpam-5928	319	23	if	if	SCONJ
ejpam-5928	319	24	(	(	PUNCT
ejpam-5928	319	25	λ̈	λ̈	NOUN
ejpam-5928	319	26	,	,	PUNCT
ejpam-5928	319	27	ζ̈	ζ̈	PROPN
ejpam-5928	319	28	,	,	PUNCT
ejpam-5928	319	29	µ	µ	NOUN
ejpam-5928	319	30	)	)	PUNCT
ejpam-5928	319	31	is	be	AUX
ejpam-5928	319	32	both	both	PRON
ejpam-5928	319	33	˜̃m	˜̃m	ADV
ejpam-5928	319	34	-	-	PUNCT
ejpam-5928	319	35	open	open	ADJ
ejpam-5928	319	36	and	and	CCONJ
ejpam-5928	319	37	˜̃m	˜̃m	ADV
ejpam-5928	319	38	-	-	PUNCT
ejpam-5928	319	39	closed	closed	ADJ
ejpam-5928	319	40	.	.	PUNCT
ejpam-5928	320	1	then	then	ADV
ejpam-5928	320	2	b˜̃m	b˜̃m	PROPN
ejpam-5928	320	3	(	(	PUNCT
ejpam-5928	320	4	λ̈	λ̈	PROPN
ejpam-5928	320	5	,	,	PUNCT
ejpam-5928	320	6	ζ̈	ζ̈	PROPN
ejpam-5928	320	7	,	,	PUNCT
ejpam-5928	320	8	µ	µ	NOUN
ejpam-5928	320	9	)	)	PUNCT
ejpam-5928	320	10	=	=	SYM
ejpam-5928	320	11	(	(	PUNCT
ejpam-5928	320	12	φ	φ	PROPN
ejpam-5928	320	13	,	,	PUNCT
ejpam-5928	320	14	ζ̈	ζ̈	PROPN
ejpam-5928	320	15	,	,	PUNCT
ejpam-5928	320	16	µ	µ	NOUN
ejpam-5928	320	17	)	)	PUNCT
ejpam-5928	320	18	.	.	PUNCT
ejpam-5928	321	1	proof	proof	NOUN
ejpam-5928	321	2	.	.	PUNCT
ejpam-5928	322	1	suppose	suppose	VERB
ejpam-5928	322	2	that	that	SCONJ
ejpam-5928	322	3	(	(	PUNCT
ejpam-5928	322	4	λ̈	λ̈	ADJ
ejpam-5928	322	5	,	,	PUNCT
ejpam-5928	322	6	ζ̈	ζ̈	PROPN
ejpam-5928	322	7	,	,	PUNCT
ejpam-5928	322	8	µ	µ	NOUN
ejpam-5928	322	9	)	)	PUNCT
ejpam-5928	322	10	is	be	AUX
ejpam-5928	322	11	˜̃m	˜̃m	ADV
ejpam-5928	322	12	-	-	PUNCT
ejpam-5928	322	13	open	open	ADJ
ejpam-5928	322	14	and	and	CCONJ
ejpam-5928	322	15	˜̃m	˜̃m	ADV
ejpam-5928	322	16	-	-	PUNCT
ejpam-5928	322	17	closed	closed	ADJ
ejpam-5928	322	18	.	.	PUNCT
ejpam-5928	323	1	then	then	ADV
ejpam-5928	323	2	,	,	PUNCT
ejpam-5928	323	3	b˜̃m	b˜̃m	NOUN
ejpam-5928	323	4	(	(	PUNCT
ejpam-5928	323	5	λ̈	λ̈	PROPN
ejpam-5928	323	6	,	,	PUNCT
ejpam-5928	323	7	ζ̈	ζ̈	PROPN
ejpam-5928	323	8	,	,	PUNCT
ejpam-5928	323	9	µ	µ	NOUN
ejpam-5928	323	10	)	)	PUNCT
ejpam-5928	323	11	=	=	SYM
ejpam-5928	323	12	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	323	13	,	,	PUNCT
ejpam-5928	323	14	ζ̈	ζ̈	PROPN
ejpam-5928	323	15	,	,	PUNCT
ejpam-5928	323	16	µ)˜̃∩	µ)˜̃∩	ADP
ejpam-5928	323	17	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	323	18	,	,	PUNCT
ejpam-5928	323	19	ζ̈	ζ̈	PROPN
ejpam-5928	323	20	,	,	PUNCT
ejpam-5928	323	21	µ)c	µ)c	NOUN
ejpam-5928	323	22	=	=	SYM
ejpam-5928	323	23	˜̃mcl(λ̈	˜̃mcl(λ̈	PROPN
ejpam-5928	323	24	,	,	PUNCT
ejpam-5928	323	25	ζ̈	ζ̈	PROPN
ejpam-5928	323	26	,	,	PUNCT
ejpam-5928	323	27	µ)˜̃∩	µ)˜̃∩	ADP
ejpam-5928	323	28	(	(	PUNCT
ejpam-5928	323	29	˜̃mint	˜̃mint	PROPN
ejpam-5928	323	30	(	(	PUNCT
ejpam-5928	323	31	λ̈	λ̈	PROPN
ejpam-5928	323	32	,	,	PUNCT
ejpam-5928	323	33	ζ̈	ζ̈	NOUN
ejpam-5928	323	34	,	,	PUNCT
ejpam-5928	323	35	µ))c	µ))c	NOUN
ejpam-5928	323	36	=	=	SYM
ejpam-5928	323	37	(	(	PUNCT
ejpam-5928	323	38	λ̈	λ̈	PROPN
ejpam-5928	323	39	,	,	PUNCT
ejpam-5928	323	40	ζ̈	ζ̈	PROPN
ejpam-5928	323	41	,	,	PUNCT
ejpam-5928	323	42	µ)˜̃∩(λ̈	µ)˜̃∩(λ̈	ADP
ejpam-5928	323	43	,	,	PUNCT
ejpam-5928	323	44	ζ̈	ζ̈	PROPN
ejpam-5928	323	45	,	,	PUNCT
ejpam-5928	323	46	µ)c	µ)c	PUNCT
ejpam-5928	323	47	=	=	SYM
ejpam-5928	323	48	(	(	PUNCT
ejpam-5928	323	49	φ	φ	PROPN
ejpam-5928	323	50	,	,	PUNCT
ejpam-5928	323	51	ζ̈	ζ̈	PROPN
ejpam-5928	323	52	,	,	PUNCT
ejpam-5928	323	53	µ	µ	NOUN
ejpam-5928	323	54	)	)	PUNCT
ejpam-5928	323	55	.	.	PUNCT
ejpam-5928	324	1	4	4	X
ejpam-5928	324	2	.	.	X
ejpam-5928	324	3	bs	bs	PROPN
ejpam-5928	324	4	˜̃m	˜̃m	ADV
ejpam-5928	324	5	-	-	PUNCT
ejpam-5928	324	6	connected	connect	VERB
ejpam-5928	324	7	sets	set	NOUN
ejpam-5928	324	8	this	this	DET
ejpam-5928	324	9	section	section	NOUN
ejpam-5928	324	10	presents	present	VERB
ejpam-5928	324	11	˜̃m	˜̃m	ADV
ejpam-5928	324	12	-	-	PUNCT
ejpam-5928	324	13	separated	separate	VERB
ejpam-5928	324	14	bsss	bsss	NOUN
ejpam-5928	324	15	using	use	VERB
ejpam-5928	324	16	bsms	bsm	NOUN
ejpam-5928	324	17	and	and	CCONJ
ejpam-5928	324	18	it	it	PRON
ejpam-5928	324	19	gives	give	VERB
ejpam-5928	324	20	some	some	PRON
ejpam-5928	324	21	of	of	ADP
ejpam-5928	324	22	their	their	PRON
ejpam-5928	324	23	properties	property	NOUN
ejpam-5928	324	24	.	.	PUNCT
ejpam-5928	325	1	also	also	ADV
ejpam-5928	325	2	,	,	PUNCT
ejpam-5928	325	3	it	it	PRON
ejpam-5928	325	4	presents	present	VERB
ejpam-5928	325	5	bs	bs	ADP
ejpam-5928	325	6	˜̃m	˜̃m	ADV
ejpam-5928	325	7	-	-	PUNCT
ejpam-5928	325	8	connected	connect	VERB
ejpam-5928	325	9	sets	set	NOUN
ejpam-5928	325	10	in	in	ADP
ejpam-5928	325	11	terms	term	NOUN
ejpam-5928	325	12	of	of	ADP
ejpam-5928	325	13	bsms	bsm	NOUN
ejpam-5928	325	14	and	and	CCONJ
ejpam-5928	325	15	it	it	PRON
ejpam-5928	325	16	obtains	obtain	VERB
ejpam-5928	325	17	some	some	DET
ejpam-5928	325	18	properties	property	NOUN
ejpam-5928	325	19	and	and	CCONJ
ejpam-5928	325	20	relations	relation	NOUN
ejpam-5928	325	21	.	.	PUNCT
ejpam-5928	326	1	r.	r.	PROPN
ejpam-5928	326	2	a.	a.	PROPN
ejpam-5928	326	3	mohammed	mohammed	PROPN
ejpam-5928	326	4	/	/	SYM
ejpam-5928	326	5	eur	eur	PROPN
ejpam-5928	326	6	.	.	PUNCT
ejpam-5928	327	1	j.	j.	PROPN
ejpam-5928	327	2	pure	pure	PROPN
ejpam-5928	327	3	appl	appl	PROPN
ejpam-5928	327	4	.	.	PROPN
ejpam-5928	327	5	math	math	PROPN
ejpam-5928	327	6	,	,	PUNCT
ejpam-5928	327	7	18	18	NUM
ejpam-5928	327	8	(	(	PUNCT
ejpam-5928	327	9	2	2	NUM
ejpam-5928	327	10	)	)	PUNCT
ejpam-5928	327	11	(	(	PUNCT
ejpam-5928	327	12	2025	2025	NUM
ejpam-5928	327	13	)	)	PUNCT
ejpam-5928	327	14	,	,	PUNCT
ejpam-5928	327	15	5928	5928	NUM
ejpam-5928	327	16	13	13	NUM
ejpam-5928	327	17	of	of	ADP
ejpam-5928	327	18	26	26	NUM
ejpam-5928	327	19	definition	definition	NOUN
ejpam-5928	327	20	19	19	NUM
ejpam-5928	327	21	.	.	PUNCT
ejpam-5928	328	1	let	let	VERB
ejpam-5928	328	2	(	(	PUNCT
ejpam-5928	328	3	ζ̈1	ζ̈1	ADJ
ejpam-5928	328	4	,	,	PUNCT
ejpam-5928	328	5	λ̈1	λ̈1	PROPN
ejpam-5928	328	6	,	,	PUNCT
ejpam-5928	328	7	µ	µ	NOUN
ejpam-5928	328	8	)	)	PUNCT
ejpam-5928	328	9	and	and	CCONJ
ejpam-5928	328	10	(	(	PUNCT
ejpam-5928	328	11	ζ̈2	ζ̈2	PROPN
ejpam-5928	328	12	,	,	PUNCT
ejpam-5928	328	13	λ̈2	λ̈2	NOUN
ejpam-5928	328	14	,	,	PUNCT
ejpam-5928	328	15	µ	µ	NOUN
ejpam-5928	328	16	)	)	PUNCT
ejpam-5928	328	17	be	be	VERB
ejpam-5928	328	18	two	two	NUM
ejpam-5928	328	19	bsss	bsss	NOUN
ejpam-5928	328	20	in	in	ADP
ejpam-5928	328	21	(	(	PUNCT
ejpam-5928	328	22	π	π	PROPN
ejpam-5928	328	23	,	,	PUNCT
ejpam-5928	328	24	˜̃m	˜̃m	PROPN
ejpam-5928	328	25	,	,	PUNCT
ejpam-5928	328	26	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	328	27	)	)	PUNCT
ejpam-5928	328	28	which	which	PRON
ejpam-5928	328	29	are	be	AUX
ejpam-5928	328	30	not	not	PART
ejpam-5928	328	31	null	null	ADJ
ejpam-5928	328	32	.	.	PUNCT
ejpam-5928	329	1	then	then	ADV
ejpam-5928	329	2	(	(	PUNCT
ejpam-5928	329	3	ζ̈1	ζ̈1	ADJ
ejpam-5928	329	4	,	,	PUNCT
ejpam-5928	329	5	λ̈1	λ̈1	PROPN
ejpam-5928	329	6	,	,	PUNCT
ejpam-5928	329	7	µ	µ	NOUN
ejpam-5928	329	8	)	)	PUNCT
ejpam-5928	329	9	and	and	CCONJ
ejpam-5928	329	10	(	(	PUNCT
ejpam-5928	329	11	ζ̈2	ζ̈2	PROPN
ejpam-5928	329	12	,	,	PUNCT
ejpam-5928	329	13	λ̈2	λ̈2	NOUN
ejpam-5928	329	14	,	,	PUNCT
ejpam-5928	329	15	µ	µ	NOUN
ejpam-5928	329	16	)	)	PUNCT
ejpam-5928	329	17	are	be	AUX
ejpam-5928	329	18	named	name	VERB
ejpam-5928	329	19	˜̃m	˜̃m	ADV
ejpam-5928	329	20	-	-	PUNCT
ejpam-5928	329	21	separated	separate	VERB
ejpam-5928	329	22	bsss	bsss	NOUN
ejpam-5928	329	23	(	(	PUNCT
ejpam-5928	329	24	˜̃m	˜̃m	ADV
ejpam-5928	329	25	-	-	PUNCT
ejpam-5928	329	26	separated	separate	VERB
ejpam-5928	329	27	bsss	bsss	NOUN
ejpam-5928	329	28	)	)	PUNCT
ejpam-5928	329	29	if	if	SCONJ
ejpam-5928	329	30	(	(	PUNCT
ejpam-5928	329	31	ζ̈1	ζ̈1	ADJ
ejpam-5928	329	32	,	,	PUNCT
ejpam-5928	329	33	λ̈1	λ̈1	PROPN
ejpam-5928	329	34	,	,	PUNCT
ejpam-5928	329	35	ϑ	ϑ	NOUN
ejpam-5928	329	36	)	)	PUNCT
ejpam-5928	329	37	˜̃∩	˜̃∩	ADV
ejpam-5928	329	38	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	329	39	(	(	PUNCT
ejpam-5928	329	40	ζ̈2	ζ̈2	PROPN
ejpam-5928	329	41	,	,	PUNCT
ejpam-5928	329	42	λ̈2	λ̈2	NOUN
ejpam-5928	329	43	,	,	PUNCT
ejpam-5928	329	44	ϑ	ϑ	NOUN
ejpam-5928	329	45	)	)	PUNCT
ejpam-5928	329	46	=	=	SYM
ejpam-5928	329	47	(	(	PUNCT
ejpam-5928	329	48	φ	φ	PROPN
ejpam-5928	329	49	,	,	PUNCT
ejpam-5928	329	50	λ̈	λ̈	PROPN
ejpam-5928	329	51	,	,	PUNCT
ejpam-5928	329	52	ϑ	ϑ	NOUN
ejpam-5928	329	53	)	)	PUNCT
ejpam-5928	329	54	and	and	CCONJ
ejpam-5928	329	55	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	329	56	(	(	PUNCT
ejpam-5928	329	57	ζ̈1	ζ̈1	ADJ
ejpam-5928	329	58	,	,	PUNCT
ejpam-5928	329	59	λ̈1	λ̈1	PROPN
ejpam-5928	329	60	,	,	PUNCT
ejpam-5928	329	61	ϑ	ϑ	NOUN
ejpam-5928	329	62	)	)	PUNCT
ejpam-5928	329	63	˜̃∩	˜̃∩	ADV
ejpam-5928	329	64	(	(	PUNCT
ejpam-5928	329	65	ζ̈2	ζ̈2	PROPN
ejpam-5928	329	66	,	,	PUNCT
ejpam-5928	329	67	λ̈2	λ̈2	NOUN
ejpam-5928	329	68	,	,	PUNCT
ejpam-5928	329	69	ϑ	ϑ	NOUN
ejpam-5928	329	70	)	)	PUNCT
ejpam-5928	329	71	=	=	SYM
ejpam-5928	329	72	(	(	PUNCT
ejpam-5928	329	73	φ	φ	PROPN
ejpam-5928	329	74	,	,	PUNCT
ejpam-5928	329	75	λ̈	λ̈	PROPN
ejpam-5928	329	76	,	,	PUNCT
ejpam-5928	329	77	ϑ	ϑ	NOUN
ejpam-5928	329	78	)	)	PUNCT
ejpam-5928	329	79	.	.	PUNCT
ejpam-5928	330	1	proposition	proposition	NOUN
ejpam-5928	330	2	5	5	NUM
ejpam-5928	330	3	.	.	PUNCT
ejpam-5928	331	1	any	any	DET
ejpam-5928	331	2	two	two	NUM
ejpam-5928	331	3	˜̃m	˜̃m	ADV
ejpam-5928	331	4	-	-	PUNCT
ejpam-5928	331	5	separated	separate	VERB
ejpam-5928	331	6	bsss	bsss	NOUN
ejpam-5928	331	7	are	be	AUX
ejpam-5928	331	8	disjoint	disjoint	ADJ
ejpam-5928	331	9	bsss	bsss	NOUN
ejpam-5928	331	10	.	.	PUNCT
ejpam-5928	332	1	proof	proof	NOUN
ejpam-5928	332	2	.	.	PUNCT
ejpam-5928	333	1	obvious	obvious	ADJ
ejpam-5928	333	2	.	.	PUNCT
ejpam-5928	334	1	note	note	VERB
ejpam-5928	334	2	that	that	SCONJ
ejpam-5928	334	3	disjoint	disjoint	NOUN
ejpam-5928	334	4	bsss	bsss	NOUN
ejpam-5928	334	5	may	may	AUX
ejpam-5928	334	6	not	not	PART
ejpam-5928	334	7	be	be	AUX
ejpam-5928	334	8	˜̃m	˜̃m	ADV
ejpam-5928	334	9	-	-	PUNCT
ejpam-5928	334	10	separated	separate	VERB
ejpam-5928	334	11	bsss	bsss	NOUN
ejpam-5928	334	12	;	;	PUNCT
ejpam-5928	334	13	it	it	PRON
ejpam-5928	334	14	means	mean	VERB
ejpam-5928	334	15	that	that	SCONJ
ejpam-5928	334	16	the	the	DET
ejpam-5928	334	17	converse	converse	NOUN
ejpam-5928	334	18	of	of	ADP
ejpam-5928	334	19	proposition	proposition	NOUN
ejpam-5928	334	20	5	5	NUM
ejpam-5928	334	21	does	do	AUX
ejpam-5928	334	22	not	not	PART
ejpam-5928	334	23	true	true	ADJ
ejpam-5928	334	24	as	as	SCONJ
ejpam-5928	334	25	shown	show	VERB
ejpam-5928	334	26	by	by	ADP
ejpam-5928	334	27	the	the	DET
ejpam-5928	334	28	next	next	ADJ
ejpam-5928	334	29	example	example	NOUN
ejpam-5928	334	30	.	.	PUNCT
ejpam-5928	335	1	example	example	NOUN
ejpam-5928	336	1	5	5	NUM
ejpam-5928	336	2	.	.	PUNCT
ejpam-5928	336	3	let	let	VERB
ejpam-5928	336	4	π	π	NOUN
ejpam-5928	336	5	=	=	PUNCT
ejpam-5928	336	6	{	{	PUNCT
ejpam-5928	336	7	ϵ1	ϵ1	ADJ
ejpam-5928	336	8	,	,	PUNCT
ejpam-5928	336	9	ϵ2	ϵ2	ADJ
ejpam-5928	336	10	,	,	PUNCT
ejpam-5928	336	11	ϵ3	ϵ3	PROPN
ejpam-5928	336	12	,	,	PUNCT
ejpam-5928	336	13	ϵ4	ϵ4	PROPN
ejpam-5928	336	14	}	}	PUNCT
ejpam-5928	336	15	,	,	PUNCT
ejpam-5928	336	16	µ	µ	X
ejpam-5928	336	17	=	=	SYM
ejpam-5928	336	18	{	{	PUNCT
ejpam-5928	336	19	ϑ1	ϑ1	NOUN
ejpam-5928	336	20	,	,	PUNCT
ejpam-5928	336	21	ϑ2	ϑ2	PROPN
ejpam-5928	336	22	}	}	PUNCT
ejpam-5928	336	23	and	and	CCONJ
ejpam-5928	336	24	˜̃m	˜̃m	NOUN
ejpam-5928	336	25	=	=	PUNCT
ejpam-5928	336	26	{	{	PUNCT
ejpam-5928	336	27	(	(	PUNCT
ejpam-5928	336	28	φ	φ	PROPN
ejpam-5928	336	29	,	,	PUNCT
ejpam-5928	336	30	˜̃π	˜̃π	NOUN
ejpam-5928	336	31	,	,	PUNCT
ejpam-5928	336	32	µ	µ	NOUN
ejpam-5928	336	33	)	)	PUNCT
ejpam-5928	336	34	,	,	PUNCT
ejpam-5928	336	35	(	(	PUNCT
ejpam-5928	336	36	˜̃	˜̃	NOUN
ejpam-5928	336	37	π	π	PROPN
ejpam-5928	336	38	,	,	PUNCT
ejpam-5928	336	39	φ	φ	PROPN
ejpam-5928	336	40	,	,	PUNCT
ejpam-5928	336	41	µ	µ	NOUN
ejpam-5928	336	42	)	)	PUNCT
ejpam-5928	336	43	,	,	PUNCT
ejpam-5928	336	44	(	(	PUNCT
ejpam-5928	336	45	ζ̈1	ζ̈1	ADJ
ejpam-5928	336	46	,	,	PUNCT
ejpam-5928	336	47	λ̈1	λ̈1	PROPN
ejpam-5928	336	48	,	,	PUNCT
ejpam-5928	336	49	µ	µ	NOUN
ejpam-5928	336	50	)	)	PUNCT
ejpam-5928	336	51	,	,	PUNCT
ejpam-5928	336	52	(	(	PUNCT
ejpam-5928	336	53	ζ̈2	ζ̈2	PROPN
ejpam-5928	336	54	,	,	PUNCT
ejpam-5928	336	55	λ̈2	λ̈2	NOUN
ejpam-5928	336	56	,	,	PUNCT
ejpam-5928	336	57	µ	µ	NOUN
ejpam-5928	336	58	)	)	PUNCT
ejpam-5928	336	59	,	,	PUNCT
ejpam-5928	336	60	(	(	PUNCT
ejpam-5928	336	61	ζ̈3	ζ̈3	PROPN
ejpam-5928	336	62	,	,	PUNCT
ejpam-5928	336	63	λ̈3	λ̈3	NOUN
ejpam-5928	336	64	,	,	PUNCT
ejpam-5928	336	65	µ	µ	NOUN
ejpam-5928	336	66	)	)	PUNCT
ejpam-5928	336	67	}	}	PUNCT
ejpam-5928	336	68	be	be	AUX
ejpam-5928	336	69	a	a	DET
ejpam-5928	336	70	bsms	bsms	NOUN
ejpam-5928	336	71	over	over	ADP
ejpam-5928	336	72	π	π	PROPN
ejpam-5928	336	73	where	where	SCONJ
ejpam-5928	336	74	(	(	PUNCT
ejpam-5928	336	75	ζ̈1	ζ̈1	ADJ
ejpam-5928	336	76	,	,	PUNCT
ejpam-5928	336	77	λ̈1	λ̈1	PROPN
ejpam-5928	336	78	,	,	PUNCT
ejpam-5928	336	79	µ),(ζ̈2	µ),(ζ̈2	PROPN
ejpam-5928	336	80	,	,	PUNCT
ejpam-5928	336	81	λ̈2	λ̈2	NOUN
ejpam-5928	336	82	,	,	PUNCT
ejpam-5928	336	83	µ),(ζ̈3	µ),(ζ̈3	NUM
ejpam-5928	336	84	,	,	PUNCT
ejpam-5928	336	85	λ̈3	λ̈3	NOUN
ejpam-5928	336	86	,	,	PUNCT
ejpam-5928	336	87	µ	µ	NOUN
ejpam-5928	336	88	)	)	PUNCT
ejpam-5928	336	89	˜̃∈	˜̃∈	PROPN
ejpam-5928	336	90	bss(π	bss(π	PROPN
ejpam-5928	336	91	)	)	PUNCT
ejpam-5928	336	92	,	,	PUNCT
ejpam-5928	336	93	defined	define	VERB
ejpam-5928	336	94	as	as	ADP
ejpam-5928	336	95	follows	follow	VERB
ejpam-5928	336	96	(	(	PUNCT
ejpam-5928	336	97	ζ̈1	ζ̈1	ADJ
ejpam-5928	336	98	,	,	PUNCT
ejpam-5928	336	99	λ̈1	λ̈1	PROPN
ejpam-5928	336	100	,	,	PUNCT
ejpam-5928	336	101	µ	µ	NOUN
ejpam-5928	336	102	)	)	PUNCT
ejpam-5928	336	103	=	=	PRON
ejpam-5928	336	104	{	{	PUNCT
ejpam-5928	336	105	(	(	PUNCT
ejpam-5928	336	106	ϑ1	ϑ1	NOUN
ejpam-5928	336	107	,	,	PUNCT
ejpam-5928	336	108	{	{	PUNCT
ejpam-5928	336	109	ϵ2	ϵ2	ADJ
ejpam-5928	336	110	,	,	PUNCT
ejpam-5928	336	111	ϵ3	ϵ3	PROPN
ejpam-5928	336	112	}	}	PUNCT
ejpam-5928	336	113	,	,	PUNCT
ejpam-5928	336	114	{	{	PUNCT
ejpam-5928	336	115	ϵ1	ϵ1	ADJ
ejpam-5928	336	116	}	}	PUNCT
ejpam-5928	336	117	)	)	PUNCT
ejpam-5928	336	118	,	,	PUNCT
ejpam-5928	336	119	(	(	PUNCT
ejpam-5928	336	120	ϑ2	ϑ2	NOUN
ejpam-5928	336	121	,	,	PUNCT
ejpam-5928	336	122	{	{	PUNCT
ejpam-5928	336	123	ϵ3	ϵ3	PROPN
ejpam-5928	336	124	,	,	PUNCT
ejpam-5928	336	125	ϵ4	ϵ4	PROPN
ejpam-5928	336	126	}	}	PUNCT
ejpam-5928	336	127	,	,	PUNCT
ejpam-5928	336	128	{	{	PUNCT
ejpam-5928	336	129	ϵ2	ϵ2	NOUN
ejpam-5928	336	130	}	}	PUNCT
ejpam-5928	336	131	)	)	PUNCT
ejpam-5928	336	132	}	}	PUNCT
ejpam-5928	336	133	,	,	PUNCT
ejpam-5928	336	134	(	(	PUNCT
ejpam-5928	336	135	ζ̈2	ζ̈2	PROPN
ejpam-5928	336	136	,	,	PUNCT
ejpam-5928	336	137	λ̈2	λ̈2	NOUN
ejpam-5928	336	138	,	,	PUNCT
ejpam-5928	336	139	µ	µ	NOUN
ejpam-5928	336	140	)	)	PUNCT
ejpam-5928	336	141	=	=	PRON
ejpam-5928	336	142	{	{	PUNCT
ejpam-5928	336	143	(	(	PUNCT
ejpam-5928	336	144	ϑ1	ϑ1	NOUN
ejpam-5928	336	145	,	,	PUNCT
ejpam-5928	336	146	{	{	PUNCT
ejpam-5928	336	147	ϵ1	ϵ1	ADJ
ejpam-5928	336	148	,	,	PUNCT
ejpam-5928	336	149	ϵ3	ϵ3	PROPN
ejpam-5928	336	150	}	}	PUNCT
ejpam-5928	336	151	,	,	PUNCT
ejpam-5928	336	152	{	{	PUNCT
ejpam-5928	336	153	ϵ2	ϵ2	ADJ
ejpam-5928	336	154	,	,	PUNCT
ejpam-5928	336	155	ϵ4	ϵ4	NOUN
ejpam-5928	336	156	}	}	PUNCT
ejpam-5928	336	157	)	)	PUNCT
ejpam-5928	336	158	,	,	PUNCT
ejpam-5928	336	159	(	(	PUNCT
ejpam-5928	336	160	ϑ2	ϑ2	NOUN
ejpam-5928	336	161	,	,	PUNCT
ejpam-5928	336	162	{	{	PUNCT
ejpam-5928	336	163	ϵ1	ϵ1	ADJ
ejpam-5928	336	164	,	,	PUNCT
ejpam-5928	336	165	ϵ3	ϵ3	PROPN
ejpam-5928	336	166	}	}	PUNCT
ejpam-5928	336	167	,	,	PUNCT
ejpam-5928	336	168	{	{	PUNCT
ejpam-5928	336	169	ϵ2	ϵ2	NOUN
ejpam-5928	336	170	}	}	PUNCT
ejpam-5928	336	171	)	)	PUNCT
ejpam-5928	336	172	}	}	PUNCT
ejpam-5928	336	173	,	,	PUNCT
ejpam-5928	336	174	(	(	PUNCT
ejpam-5928	336	175	ζ̈3	ζ̈3	PROPN
ejpam-5928	336	176	,	,	PUNCT
ejpam-5928	336	177	λ̈3	λ̈3	NOUN
ejpam-5928	336	178	,	,	PUNCT
ejpam-5928	336	179	µ	µ	NOUN
ejpam-5928	336	180	)	)	PUNCT
ejpam-5928	336	181	=	=	PRON
ejpam-5928	336	182	{	{	PUNCT
ejpam-5928	336	183	(	(	PUNCT
ejpam-5928	336	184	ϑ1	ϑ1	NOUN
ejpam-5928	336	185	,	,	PUNCT
ejpam-5928	336	186	{	{	PUNCT
ejpam-5928	336	187	ϵ1	ϵ1	ADJ
ejpam-5928	336	188	,	,	PUNCT
ejpam-5928	336	189	ϵ2	ϵ2	ADJ
ejpam-5928	336	190	,	,	PUNCT
ejpam-5928	336	191	ϵ3	ϵ3	PROPN
ejpam-5928	336	192	}	}	PUNCT
ejpam-5928	336	193	,	,	PUNCT
ejpam-5928	336	194	ϕ	ϕ	NOUN
ejpam-5928	336	195	)	)	PUNCT
ejpam-5928	336	196	,	,	PUNCT
ejpam-5928	336	197	(	(	PUNCT
ejpam-5928	336	198	ϑ2	ϑ2	NOUN
ejpam-5928	336	199	,	,	PUNCT
ejpam-5928	336	200	{	{	PUNCT
ejpam-5928	336	201	ϵ1	ϵ1	ADJ
ejpam-5928	336	202	,	,	PUNCT
ejpam-5928	336	203	ϵ3	ϵ3	PROPN
ejpam-5928	336	204	,	,	PUNCT
ejpam-5928	336	205	ϵ4	ϵ4	PROPN
ejpam-5928	336	206	}	}	PUNCT
ejpam-5928	336	207	,	,	PUNCT
ejpam-5928	336	208	{	{	PUNCT
ejpam-5928	336	209	ϵ2	ϵ2	NOUN
ejpam-5928	336	210	}	}	PUNCT
ejpam-5928	336	211	)	)	PUNCT
ejpam-5928	336	212	}	}	PUNCT
ejpam-5928	336	213	.	.	PUNCT
ejpam-5928	337	1	now	now	ADV
ejpam-5928	337	2	,	,	PUNCT
ejpam-5928	337	3	assume	assume	VERB
ejpam-5928	337	4	that	that	SCONJ
ejpam-5928	337	5	(	(	PUNCT
ejpam-5928	337	6	ξ1	ξ1	NOUN
ejpam-5928	337	7	,	,	PUNCT
ejpam-5928	337	8	η1	η1	NOUN
ejpam-5928	337	9	,	,	PUNCT
ejpam-5928	337	10	µ	µ	NOUN
ejpam-5928	337	11	)	)	PUNCT
ejpam-5928	337	12	and	and	CCONJ
ejpam-5928	337	13	(	(	PUNCT
ejpam-5928	337	14	ξ2	ξ2	ADJ
ejpam-5928	337	15	,	,	PUNCT
ejpam-5928	337	16	η2	η2	PROPN
ejpam-5928	337	17	,	,	PUNCT
ejpam-5928	337	18	µ	µ	NOUN
ejpam-5928	337	19	)	)	PUNCT
ejpam-5928	337	20	are	be	AUX
ejpam-5928	337	21	disjoint	disjoint	ADJ
ejpam-5928	337	22	bsss	bsss	NOUN
ejpam-5928	337	23	over	over	ADP
ejpam-5928	337	24	π	π	PROPN
ejpam-5928	337	25	defined	define	VERB
ejpam-5928	337	26	by	by	ADP
ejpam-5928	337	27	(	(	PUNCT
ejpam-5928	337	28	ξ1	ξ1	PROPN
ejpam-5928	337	29	,	,	PUNCT
ejpam-5928	337	30	η1	η1	NOUN
ejpam-5928	337	31	,	,	PUNCT
ejpam-5928	337	32	µ	µ	NOUN
ejpam-5928	337	33	)	)	PUNCT
ejpam-5928	337	34	=	=	PRON
ejpam-5928	337	35	{	{	PUNCT
ejpam-5928	337	36	(	(	PUNCT
ejpam-5928	337	37	ϑ1	ϑ1	NOUN
ejpam-5928	337	38	,	,	PUNCT
ejpam-5928	337	39	{	{	PUNCT
ejpam-5928	337	40	ϵ1	ϵ1	ADJ
ejpam-5928	337	41	,	,	PUNCT
ejpam-5928	337	42	ϵ2	ϵ2	ADJ
ejpam-5928	337	43	,	,	PUNCT
ejpam-5928	337	44	ϵ4	ϵ4	PROPN
ejpam-5928	337	45	}	}	PUNCT
ejpam-5928	337	46	,	,	PUNCT
ejpam-5928	337	47	{	{	PUNCT
ejpam-5928	337	48	ϵ3	ϵ3	PROPN
ejpam-5928	337	49	}	}	PUNCT
ejpam-5928	337	50	)	)	PUNCT
ejpam-5928	337	51	,	,	PUNCT
ejpam-5928	337	52	(	(	PUNCT
ejpam-5928	337	53	ϑ2	ϑ2	NOUN
ejpam-5928	337	54	,	,	PUNCT
ejpam-5928	337	55	{	{	PUNCT
ejpam-5928	337	56	ϵ1	ϵ1	ADJ
ejpam-5928	337	57	,	,	PUNCT
ejpam-5928	337	58	ϵ2	ϵ2	ADJ
ejpam-5928	337	59	,	,	PUNCT
ejpam-5928	337	60	ϵ4	ϵ4	PROPN
ejpam-5928	337	61	}	}	PUNCT
ejpam-5928	337	62	,	,	PUNCT
ejpam-5928	337	63	{	{	PUNCT
ejpam-5928	337	64	ϵ3	ϵ3	PROPN
ejpam-5928	337	65	}	}	PUNCT
ejpam-5928	337	66	)	)	PUNCT
ejpam-5928	337	67	}	}	PUNCT
ejpam-5928	337	68	and	and	CCONJ
ejpam-5928	337	69	(	(	PUNCT
ejpam-5928	337	70	ξ2	ξ2	ADJ
ejpam-5928	337	71	,	,	PUNCT
ejpam-5928	337	72	η2	η2	PROPN
ejpam-5928	337	73	,	,	PUNCT
ejpam-5928	337	74	µ	µ	NOUN
ejpam-5928	337	75	)	)	PUNCT
ejpam-5928	337	76	=	=	PRON
ejpam-5928	337	77	{	{	PUNCT
ejpam-5928	337	78	(	(	PUNCT
ejpam-5928	337	79	ϑ1	ϑ1	NOUN
ejpam-5928	337	80	,	,	PUNCT
ejpam-5928	337	81	{	{	PUNCT
ejpam-5928	337	82	ϵ3	ϵ3	PROPN
ejpam-5928	337	83	}	}	PUNCT
ejpam-5928	337	84	,	,	PUNCT
ejpam-5928	337	85	{	{	PUNCT
ejpam-5928	337	86	ϵ2	ϵ2	NOUN
ejpam-5928	337	87	}	}	PUNCT
ejpam-5928	337	88	)	)	PUNCT
ejpam-5928	337	89	,	,	PUNCT
ejpam-5928	337	90	(	(	PUNCT
ejpam-5928	337	91	ϑ2	ϑ2	NOUN
ejpam-5928	337	92	,	,	PUNCT
ejpam-5928	337	93	{	{	PUNCT
ejpam-5928	337	94	ϵ3	ϵ3	PROPN
ejpam-5928	337	95	}	}	PUNCT
ejpam-5928	337	96	,	,	PUNCT
ejpam-5928	337	97	{	{	PUNCT
ejpam-5928	337	98	ϵ2	ϵ2	NOUN
ejpam-5928	337	99	}	}	PUNCT
ejpam-5928	337	100	)	)	PUNCT
ejpam-5928	337	101	}	}	PUNCT
ejpam-5928	337	102	.	.	PUNCT
ejpam-5928	338	1	then	then	ADV
ejpam-5928	338	2	˜̃mcl(ξ1	˜̃mcl(ξ1	NOUN
ejpam-5928	338	3	,	,	PUNCT
ejpam-5928	338	4	η1	η1	NOUN
ejpam-5928	338	5	,	,	PUNCT
ejpam-5928	338	6	µ	µ	NOUN
ejpam-5928	338	7	)	)	PUNCT
ejpam-5928	338	8	=	=	SYM
ejpam-5928	338	9	˜̃mcl(ξ2	˜̃mcl(ξ2	PROPN
ejpam-5928	338	10	,	,	PUNCT
ejpam-5928	338	11	η2	η2	NOUN
ejpam-5928	338	12	,	,	PUNCT
ejpam-5928	338	13	µ	µ	NOUN
ejpam-5928	338	14	)	)	PUNCT
ejpam-5928	338	15	=	=	SYM
ejpam-5928	338	16	(	(	PUNCT
ejpam-5928	338	17	˜̃	˜̃	NOUN
ejpam-5928	338	18	π	π	PROPN
ejpam-5928	338	19	,	,	PUNCT
ejpam-5928	338	20	φ	φ	PROPN
ejpam-5928	338	21	,	,	PUNCT
ejpam-5928	338	22	µ	µ	NOUN
ejpam-5928	338	23	)	)	PUNCT
ejpam-5928	338	24	and	and	CCONJ
ejpam-5928	338	25	(	(	PUNCT
ejpam-5928	338	26	ξ1	ξ1	NOUN
ejpam-5928	338	27	,	,	PUNCT
ejpam-5928	338	28	η1	η1	NOUN
ejpam-5928	338	29	,	,	PUNCT
ejpam-5928	338	30	µ	µ	NOUN
ejpam-5928	338	31	)	)	PUNCT
ejpam-5928	338	32	˜̃∩	˜̃∩	ADV
ejpam-5928	338	33	˜̃mcl(ξ2	˜̃mcl(ξ2	PROPN
ejpam-5928	338	34	,	,	PUNCT
ejpam-5928	338	35	η2	η2	NOUN
ejpam-5928	338	36	,	,	PUNCT
ejpam-5928	338	37	µ	µ	NOUN
ejpam-5928	338	38	)	)	PUNCT
ejpam-5928	338	39	=	=	SYM
ejpam-5928	338	40	(	(	PUNCT
ejpam-5928	338	41	ξ1	ξ1	PROPN
ejpam-5928	338	42	,	,	PUNCT
ejpam-5928	338	43	η1	η1	NOUN
ejpam-5928	338	44	,	,	PUNCT
ejpam-5928	338	45	µ),˜̃mcl(ξ1	µ),˜̃mcl(ξ1	ADJ
ejpam-5928	338	46	,	,	PUNCT
ejpam-5928	338	47	η1	η1	NOUN
ejpam-5928	338	48	,	,	PUNCT
ejpam-5928	338	49	µ	µ	NOUN
ejpam-5928	338	50	)	)	PUNCT
ejpam-5928	338	51	˜̃∩	˜̃∩	ADV
ejpam-5928	338	52	(	(	PUNCT
ejpam-5928	338	53	ξ2	ξ2	ADJ
ejpam-5928	338	54	,	,	PUNCT
ejpam-5928	338	55	η2	η2	PROPN
ejpam-5928	338	56	,	,	PUNCT
ejpam-5928	338	57	µ	µ	NOUN
ejpam-5928	338	58	)	)	PUNCT
ejpam-5928	338	59	=	=	SYM
ejpam-5928	338	60	(	(	PUNCT
ejpam-5928	338	61	ξ2	ξ2	ADJ
ejpam-5928	338	62	,	,	PUNCT
ejpam-5928	338	63	η2	η2	PROPN
ejpam-5928	338	64	,	,	PUNCT
ejpam-5928	338	65	µ	µ	NOUN
ejpam-5928	338	66	)	)	PUNCT
ejpam-5928	338	67	.	.	PUNCT
ejpam-5928	339	1	but	but	CCONJ
ejpam-5928	339	2	(	(	PUNCT
ejpam-5928	339	3	ξ1	ξ1	NOUN
ejpam-5928	339	4	,	,	PUNCT
ejpam-5928	339	5	η1	η1	NOUN
ejpam-5928	339	6	,	,	PUNCT
ejpam-5928	339	7	µ	µ	NOUN
ejpam-5928	339	8	)	)	PUNCT
ejpam-5928	339	9	˜̃∩	˜̃∩	ADV
ejpam-5928	339	10	(	(	PUNCT
ejpam-5928	339	11	ξ2	ξ2	ADJ
ejpam-5928	339	12	,	,	PUNCT
ejpam-5928	339	13	η2	η2	PROPN
ejpam-5928	339	14	,	,	PUNCT
ejpam-5928	339	15	µ	µ	NOUN
ejpam-5928	339	16	)	)	PUNCT
ejpam-5928	339	17	=	=	SYM
ejpam-5928	339	18	(	(	PUNCT
ejpam-5928	339	19	φ	φ	PROPN
ejpam-5928	339	20	,	,	PUNCT
ejpam-5928	339	21	η	η	PROPN
ejpam-5928	339	22	,	,	PUNCT
ejpam-5928	339	23	µ	µ	NOUN
ejpam-5928	339	24	)	)	PUNCT
ejpam-5928	339	25	.	.	PUNCT
ejpam-5928	340	1	thus	thus	ADV
ejpam-5928	340	2	,	,	PUNCT
ejpam-5928	340	3	bsss	bsss	NOUN
ejpam-5928	340	4	(	(	PUNCT
ejpam-5928	340	5	ξ1	ξ1	PROPN
ejpam-5928	340	6	,	,	PUNCT
ejpam-5928	340	7	η1	η1	NOUN
ejpam-5928	340	8	,	,	PUNCT
ejpam-5928	340	9	µ	µ	NOUN
ejpam-5928	340	10	)	)	PUNCT
ejpam-5928	340	11	,	,	PUNCT
ejpam-5928	340	12	(	(	PUNCT
ejpam-5928	340	13	ξ2	ξ2	ADJ
ejpam-5928	340	14	,	,	PUNCT
ejpam-5928	340	15	η2	η2	PROPN
ejpam-5928	340	16	,	,	PUNCT
ejpam-5928	340	17	µ	µ	NOUN
ejpam-5928	340	18	)	)	PUNCT
ejpam-5928	340	19	are	be	AUX
ejpam-5928	340	20	disjoint	disjoint	NOUN
ejpam-5928	340	21	bsss	bsss	NOUN
ejpam-5928	340	22	but	but	CCONJ
ejpam-5928	340	23	not	not	PART
ejpam-5928	340	24	˜̃m	˜̃m	ADV
ejpam-5928	340	25	-	-	PUNCT
ejpam-5928	340	26	separated	separate	VERB
ejpam-5928	340	27	bsss	bsss	NOUN
ejpam-5928	340	28	.	.	PUNCT
ejpam-5928	341	1	proposition	proposition	NOUN
ejpam-5928	341	2	6	6	NUM
ejpam-5928	341	3	.	.	PUNCT
ejpam-5928	342	1	if	if	SCONJ
ejpam-5928	342	2	(	(	PUNCT
ejpam-5928	342	3	ζ̈1	ζ̈1	ADJ
ejpam-5928	342	4	,	,	PUNCT
ejpam-5928	342	5	λ̈1	λ̈1	PROPN
ejpam-5928	342	6	,	,	PUNCT
ejpam-5928	342	7	µ	µ	NOUN
ejpam-5928	342	8	)	)	PUNCT
ejpam-5928	342	9	and	and	CCONJ
ejpam-5928	342	10	(	(	PUNCT
ejpam-5928	342	11	ζ̈1	ζ̈1	ADJ
ejpam-5928	342	12	,	,	PUNCT
ejpam-5928	342	13	λ̈1	λ̈1	PROPN
ejpam-5928	342	14	,	,	PUNCT
ejpam-5928	342	15	µ	µ	NOUN
ejpam-5928	342	16	)	)	PUNCT
ejpam-5928	342	17	are	be	AUX
ejpam-5928	342	18	two	two	NUM
ejpam-5928	342	19	˜̃m	˜̃m	ADV
ejpam-5928	342	20	-	-	PUNCT
ejpam-5928	342	21	separated	separate	VERB
ejpam-5928	342	22	bsss	bsss	NOUN
ejpam-5928	342	23	over	over	ADP
ejpam-5928	342	24	π	π	PROPN
ejpam-5928	342	25	with	with	ADP
ejpam-5928	342	26	(	(	PUNCT
ejpam-5928	342	27	ξ1	ξ1	NOUN
ejpam-5928	342	28	,	,	PUNCT
ejpam-5928	342	29	η1	η1	NOUN
ejpam-5928	342	30	,	,	PUNCT
ejpam-5928	342	31	µ)˜̃⊆	µ)˜̃⊆	PROPN
ejpam-5928	342	32	(	(	PUNCT
ejpam-5928	342	33	ζ̈1	ζ̈1	ADJ
ejpam-5928	342	34	,	,	PUNCT
ejpam-5928	342	35	λ̈1	λ̈1	PROPN
ejpam-5928	342	36	,	,	PUNCT
ejpam-5928	342	37	µ	µ	NOUN
ejpam-5928	342	38	)	)	PUNCT
ejpam-5928	342	39	and	and	CCONJ
ejpam-5928	342	40	(	(	PUNCT
ejpam-5928	342	41	ξ2	ξ2	ADJ
ejpam-5928	342	42	,	,	PUNCT
ejpam-5928	342	43	η2	η2	PROPN
ejpam-5928	342	44	,	,	PUNCT
ejpam-5928	342	45	µ	µ	NOUN
ejpam-5928	342	46	)	)	PUNCT
ejpam-5928	342	47	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	342	48	(	(	PUNCT
ejpam-5928	342	49	ζ̈2	ζ̈2	PROPN
ejpam-5928	342	50	,	,	PUNCT
ejpam-5928	342	51	λ̈2	λ̈2	NOUN
ejpam-5928	342	52	,	,	PUNCT
ejpam-5928	342	53	µ	µ	NOUN
ejpam-5928	342	54	)	)	PUNCT
ejpam-5928	342	55	.	.	PUNCT
ejpam-5928	343	1	then	then	ADV
ejpam-5928	343	2	,	,	PUNCT
ejpam-5928	343	3	(	(	PUNCT
ejpam-5928	343	4	ξ1	ξ1	NOUN
ejpam-5928	343	5	,	,	PUNCT
ejpam-5928	343	6	η1	η1	NOUN
ejpam-5928	343	7	,	,	PUNCT
ejpam-5928	343	8	µ	µ	NOUN
ejpam-5928	343	9	)	)	PUNCT
ejpam-5928	343	10	and	and	CCONJ
ejpam-5928	343	11	(	(	PUNCT
ejpam-5928	343	12	ξ2	ξ2	ADJ
ejpam-5928	343	13	,	,	PUNCT
ejpam-5928	343	14	η2	η2	PROPN
ejpam-5928	343	15	,	,	PUNCT
ejpam-5928	343	16	µ	µ	NOUN
ejpam-5928	343	17	)	)	PUNCT
ejpam-5928	343	18	also	also	ADV
ejpam-5928	343	19	are	be	AUX
ejpam-5928	343	20	˜̃mseparated	˜̃mseparated	ADJ
ejpam-5928	343	21	bsss	bsss	NOUN
ejpam-5928	343	22	over	over	ADP
ejpam-5928	343	23	π	π	PROPN
ejpam-5928	343	24	.	.	PUNCT
ejpam-5928	344	1	proof	proof	NOUN
ejpam-5928	344	2	.	.	PUNCT
ejpam-5928	345	1	given	give	VERB
ejpam-5928	345	2	˜̃m	˜̃m	ADV
ejpam-5928	345	3	-	-	PUNCT
ejpam-5928	345	4	separated	separate	VERB
ejpam-5928	345	5	bsss	bsss	NOUN
ejpam-5928	345	6	(	(	PUNCT
ejpam-5928	345	7	ζ̈1	ζ̈1	ADJ
ejpam-5928	345	8	,	,	PUNCT
ejpam-5928	345	9	λ̈1	λ̈1	PROPN
ejpam-5928	345	10	,	,	PUNCT
ejpam-5928	345	11	µ	µ	NOUN
ejpam-5928	345	12	)	)	PUNCT
ejpam-5928	345	13	and	and	CCONJ
ejpam-5928	345	14	(	(	PUNCT
ejpam-5928	345	15	ζ̈1	ζ̈1	ADJ
ejpam-5928	345	16	,	,	PUNCT
ejpam-5928	345	17	λ̈1	λ̈1	PROPN
ejpam-5928	345	18	,	,	PUNCT
ejpam-5928	345	19	µ	µ	NOUN
ejpam-5928	345	20	)	)	PUNCT
ejpam-5928	345	21	.	.	PUNCT
ejpam-5928	346	1	then	then	ADV
ejpam-5928	346	2	(	(	PUNCT
ejpam-5928	346	3	ζ̈1	ζ̈1	ADJ
ejpam-5928	346	4	,	,	PUNCT
ejpam-5928	346	5	λ̈1	λ̈1	PROPN
ejpam-5928	346	6	,	,	PUNCT
ejpam-5928	346	7	µ	µ	NOUN
ejpam-5928	346	8	)	)	PUNCT
ejpam-5928	346	9	˜̃∩	˜̃∩	ADV
ejpam-5928	346	10	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	346	11	(	(	PUNCT
ejpam-5928	346	12	ζ̈2	ζ̈2	PROPN
ejpam-5928	346	13	,	,	PUNCT
ejpam-5928	346	14	λ̈2	λ̈2	NOUN
ejpam-5928	346	15	,	,	PUNCT
ejpam-5928	346	16	µ	µ	NOUN
ejpam-5928	346	17	)	)	PUNCT
ejpam-5928	346	18	=	=	SYM
ejpam-5928	347	1	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	347	2	(	(	PUNCT
ejpam-5928	347	3	ζ̈1	ζ̈1	ADJ
ejpam-5928	347	4	,	,	PUNCT
ejpam-5928	347	5	λ̈1	λ̈1	PROPN
ejpam-5928	347	6	,	,	PUNCT
ejpam-5928	347	7	µ	µ	NOUN
ejpam-5928	347	8	)	)	PUNCT
ejpam-5928	347	9	˜̃∩	˜̃∩	ADV
ejpam-5928	347	10	(	(	PUNCT
ejpam-5928	347	11	ζ̈2	ζ̈2	PROPN
ejpam-5928	347	12	,	,	PUNCT
ejpam-5928	347	13	λ̈2	λ̈2	NOUN
ejpam-5928	347	14	,	,	PUNCT
ejpam-5928	347	15	µ	µ	NOUN
ejpam-5928	347	16	)	)	PUNCT
ejpam-5928	347	17	=	=	SYM
ejpam-5928	347	18	(	(	PUNCT
ejpam-5928	347	19	φ	φ	PROPN
ejpam-5928	347	20	,	,	PUNCT
ejpam-5928	347	21	λ̈	λ̈	PROPN
ejpam-5928	347	22	,	,	PUNCT
ejpam-5928	347	23	µ	µ	NOUN
ejpam-5928	347	24	)	)	PUNCT
ejpam-5928	347	25	.	.	PUNCT
ejpam-5928	348	1	since	since	SCONJ
ejpam-5928	348	2	(	(	PUNCT
ejpam-5928	348	3	ξ1	ξ1	NOUN
ejpam-5928	348	4	,	,	PUNCT
ejpam-5928	348	5	η1	η1	NOUN
ejpam-5928	348	6	,	,	PUNCT
ejpam-5928	348	7	µ	µ	NOUN
ejpam-5928	348	8	)	)	PUNCT
ejpam-5928	348	9	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	348	10	(	(	PUNCT
ejpam-5928	348	11	ζ̈1	ζ̈1	ADJ
ejpam-5928	348	12	,	,	PUNCT
ejpam-5928	348	13	λ̈1	λ̈1	PROPN
ejpam-5928	348	14	,	,	PUNCT
ejpam-5928	348	15	µ	µ	NOUN
ejpam-5928	348	16	)	)	PUNCT
ejpam-5928	348	17	and	and	CCONJ
ejpam-5928	348	18	(	(	PUNCT
ejpam-5928	348	19	ξ2	ξ2	ADJ
ejpam-5928	348	20	,	,	PUNCT
ejpam-5928	348	21	η2	η2	PROPN
ejpam-5928	348	22	,	,	PUNCT
ejpam-5928	348	23	µ	µ	NOUN
ejpam-5928	348	24	)	)	PUNCT
ejpam-5928	348	25	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	348	26	(	(	PUNCT
ejpam-5928	348	27	ζ̈2	ζ̈2	PROPN
ejpam-5928	348	28	,	,	PUNCT
ejpam-5928	348	29	λ̈2	λ̈2	NOUN
ejpam-5928	348	30	,	,	PUNCT
ejpam-5928	348	31	µ	µ	NOUN
ejpam-5928	348	32	)	)	PUNCT
ejpam-5928	348	33	,	,	PUNCT
ejpam-5928	348	34	then	then	ADV
ejpam-5928	348	35	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	348	36	(	(	PUNCT
ejpam-5928	348	37	ξ1	ξ1	PROPN
ejpam-5928	348	38	,	,	PUNCT
ejpam-5928	348	39	η1	η1	NOUN
ejpam-5928	348	40	,	,	PUNCT
ejpam-5928	348	41	µ	µ	NOUN
ejpam-5928	348	42	)	)	PUNCT
ejpam-5928	348	43	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	348	44	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	348	45	(	(	PUNCT
ejpam-5928	348	46	ζ̈1	ζ̈1	ADJ
ejpam-5928	348	47	,	,	PUNCT
ejpam-5928	348	48	λ̈1	λ̈1	PROPN
ejpam-5928	348	49	,	,	PUNCT
ejpam-5928	348	50	µ	µ	NOUN
ejpam-5928	348	51	)	)	PUNCT
ejpam-5928	348	52	and	and	CCONJ
ejpam-5928	348	53	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	348	54	(	(	PUNCT
ejpam-5928	348	55	ξ2	ξ2	ADJ
ejpam-5928	348	56	,	,	PUNCT
ejpam-5928	348	57	η2	η2	PROPN
ejpam-5928	348	58	,	,	PUNCT
ejpam-5928	348	59	µ	µ	NOUN
ejpam-5928	348	60	)	)	PUNCT
ejpam-5928	348	61	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	348	62	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	348	63	(	(	PUNCT
ejpam-5928	348	64	ζ̈2	ζ̈2	PROPN
ejpam-5928	348	65	,	,	PUNCT
ejpam-5928	348	66	λ̈2	λ̈2	NOUN
ejpam-5928	348	67	,	,	PUNCT
ejpam-5928	348	68	µ	µ	NOUN
ejpam-5928	348	69	)	)	PUNCT
ejpam-5928	348	70	.	.	PUNCT
ejpam-5928	349	1	therefore	therefore	ADV
ejpam-5928	349	2	,	,	PUNCT
ejpam-5928	349	3	(	(	PUNCT
ejpam-5928	349	4	ξ1	ξ1	NOUN
ejpam-5928	349	5	,	,	PUNCT
ejpam-5928	349	6	η1	η1	NOUN
ejpam-5928	349	7	,	,	PUNCT
ejpam-5928	349	8	µ	µ	NOUN
ejpam-5928	349	9	)	)	PUNCT
ejpam-5928	349	10	˜̃∩	˜̃∩	ADV
ejpam-5928	349	11	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	349	12	(	(	PUNCT
ejpam-5928	349	13	ξ2	ξ2	PROPN
ejpam-5928	349	14	,	,	PUNCT
ejpam-5928	349	15	η2	η2	PROPN
ejpam-5928	349	16	,	,	PUNCT
ejpam-5928	349	17	µ	µ	NOUN
ejpam-5928	349	18	)	)	PUNCT
ejpam-5928	349	19	=	=	SYM
ejpam-5928	349	20	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	349	21	(	(	PUNCT
ejpam-5928	349	22	ξ1	ξ1	NOUN
ejpam-5928	349	23	,	,	PUNCT
ejpam-5928	349	24	η1	η1	NOUN
ejpam-5928	349	25	,	,	PUNCT
ejpam-5928	349	26	µ	µ	NOUN
ejpam-5928	349	27	)	)	PUNCT
ejpam-5928	349	28	˜̃∩	˜̃∩	ADV
ejpam-5928	349	29	(	(	PUNCT
ejpam-5928	349	30	ξ2	ξ2	ADJ
ejpam-5928	349	31	,	,	PUNCT
ejpam-5928	349	32	η2	η2	PROPN
ejpam-5928	349	33	,	,	PUNCT
ejpam-5928	349	34	µ	µ	NOUN
ejpam-5928	349	35	)	)	PUNCT
ejpam-5928	349	36	=	=	SYM
ejpam-5928	349	37	(	(	PUNCT
ejpam-5928	349	38	φ	φ	PROPN
ejpam-5928	349	39	,	,	PUNCT
ejpam-5928	349	40	η	η	PROPN
ejpam-5928	349	41	,	,	PUNCT
ejpam-5928	349	42	µ	µ	NOUN
ejpam-5928	349	43	)	)	PUNCT
ejpam-5928	349	44	.	.	PUNCT
ejpam-5928	350	1	hence	hence	ADV
ejpam-5928	350	2	,	,	PUNCT
ejpam-5928	350	3	(	(	PUNCT
ejpam-5928	350	4	ξ1	ξ1	NOUN
ejpam-5928	350	5	,	,	PUNCT
ejpam-5928	350	6	η1	η1	NOUN
ejpam-5928	350	7	,	,	PUNCT
ejpam-5928	350	8	µ	µ	NOUN
ejpam-5928	350	9	)	)	PUNCT
ejpam-5928	350	10	and	and	CCONJ
ejpam-5928	350	11	(	(	PUNCT
ejpam-5928	350	12	ξ2	ξ2	ADJ
ejpam-5928	350	13	,	,	PUNCT
ejpam-5928	350	14	η2	η2	PROPN
ejpam-5928	350	15	,	,	PUNCT
ejpam-5928	350	16	µ	µ	NOUN
ejpam-5928	350	17	)	)	PUNCT
ejpam-5928	350	18	are	be	AUX
ejpam-5928	350	19	˜̃m	˜̃m	ADV
ejpam-5928	350	20	-	-	PUNCT
ejpam-5928	350	21	separated	separate	VERB
ejpam-5928	350	22	bsss	bsss	NOUN
ejpam-5928	350	23	over	over	ADP
ejpam-5928	350	24	π	π	PROPN
ejpam-5928	350	25	.	.	PUNCT
ejpam-5928	351	1	r.	r.	PROPN
ejpam-5928	351	2	a.	a.	PROPN
ejpam-5928	351	3	mohammed	mohammed	PROPN
ejpam-5928	351	4	/	/	SYM
ejpam-5928	351	5	eur	eur	PROPN
ejpam-5928	351	6	.	.	PUNCT
ejpam-5928	352	1	j.	j.	PROPN
ejpam-5928	352	2	pure	pure	PROPN
ejpam-5928	352	3	appl	appl	PROPN
ejpam-5928	352	4	.	.	PROPN
ejpam-5928	352	5	math	math	PROPN
ejpam-5928	352	6	,	,	PUNCT
ejpam-5928	352	7	18	18	NUM
ejpam-5928	352	8	(	(	PUNCT
ejpam-5928	352	9	2	2	NUM
ejpam-5928	352	10	)	)	PUNCT
ejpam-5928	352	11	(	(	PUNCT
ejpam-5928	352	12	2025	2025	NUM
ejpam-5928	352	13	)	)	PUNCT
ejpam-5928	352	14	,	,	PUNCT
ejpam-5928	352	15	5928	5928	NUM
ejpam-5928	352	16	14	14	NUM
ejpam-5928	352	17	of	of	ADP
ejpam-5928	352	18	26	26	NUM
ejpam-5928	352	19	theorem	theorem	VERB
ejpam-5928	352	20	10	10	NUM
ejpam-5928	352	21	.	.	PUNCT
ejpam-5928	353	1	two	two	NUM
ejpam-5928	353	2	˜̃m	˜̃m	ADV
ejpam-5928	353	3	-	-	PUNCT
ejpam-5928	353	4	closed	closed	ADJ
ejpam-5928	353	5	subsets	subset	NOUN
ejpam-5928	353	6	(	(	PUNCT
ejpam-5928	353	7	ζ̈1	ζ̈1	ADJ
ejpam-5928	353	8	,	,	PUNCT
ejpam-5928	353	9	λ̈1	λ̈1	PROPN
ejpam-5928	353	10	,	,	PUNCT
ejpam-5928	353	11	µ	µ	NOUN
ejpam-5928	353	12	)	)	PUNCT
ejpam-5928	353	13	and	and	CCONJ
ejpam-5928	353	14	(	(	PUNCT
ejpam-5928	353	15	ζ̈2	ζ̈2	PROPN
ejpam-5928	353	16	,	,	PUNCT
ejpam-5928	353	17	λ̈2	λ̈2	NOUN
ejpam-5928	353	18	,	,	PUNCT
ejpam-5928	353	19	µ	µ	NOUN
ejpam-5928	353	20	)	)	PUNCT
ejpam-5928	353	21	of	of	ADP
ejpam-5928	353	22	bsms	bsm	NOUN
ejpam-5928	353	23	(	(	PUNCT
ejpam-5928	353	24	π	π	PROPN
ejpam-5928	353	25	,	,	PUNCT
ejpam-5928	353	26	˜̃m	˜̃m	PROPN
ejpam-5928	353	27	,	,	PUNCT
ejpam-5928	353	28	µ,¬µ	µ,¬µ	ADJ
ejpam-5928	353	29	)	)	PUNCT
ejpam-5928	353	30	over	over	ADP
ejpam-5928	353	31	π	π	PROPN
ejpam-5928	353	32	are	be	AUX
ejpam-5928	353	33	˜̃m	˜̃m	ADV
ejpam-5928	353	34	-	-	PUNCT
ejpam-5928	353	35	separated	separate	VERB
ejpam-5928	353	36	bsss	bsss	NOUN
ejpam-5928	353	37	if	if	SCONJ
ejpam-5928	354	1	and	and	CCONJ
ejpam-5928	354	2	only	only	ADV
ejpam-5928	354	3	if	if	SCONJ
ejpam-5928	354	4	they	they	PRON
ejpam-5928	354	5	are	be	AUX
ejpam-5928	354	6	disjoint	disjoint	ADJ
ejpam-5928	354	7	bsss	bsss	NOUN
ejpam-5928	354	8	.	.	PUNCT
ejpam-5928	355	1	proof	proof	NOUN
ejpam-5928	355	2	.	.	PUNCT
ejpam-5928	356	1	the	the	DET
ejpam-5928	356	2	first	first	ADJ
ejpam-5928	356	3	condition	condition	NOUN
ejpam-5928	356	4	is	be	AUX
ejpam-5928	356	5	obvious	obvious	ADJ
ejpam-5928	356	6	.	.	PUNCT
ejpam-5928	357	1	conversely	conversely	ADV
ejpam-5928	357	2	,	,	PUNCT
ejpam-5928	357	3	assume	assume	VERB
ejpam-5928	357	4	that	that	SCONJ
ejpam-5928	357	5	(	(	PUNCT
ejpam-5928	357	6	ζ̈1	ζ̈1	ADJ
ejpam-5928	357	7	,	,	PUNCT
ejpam-5928	357	8	λ̈1	λ̈1	PROPN
ejpam-5928	357	9	,	,	PUNCT
ejpam-5928	357	10	µ	µ	NOUN
ejpam-5928	357	11	)	)	PUNCT
ejpam-5928	357	12	and	and	CCONJ
ejpam-5928	357	13	(	(	PUNCT
ejpam-5928	357	14	ζ̈2	ζ̈2	PROPN
ejpam-5928	357	15	,	,	PUNCT
ejpam-5928	357	16	λ̈2	λ̈2	NOUN
ejpam-5928	357	17	,	,	PUNCT
ejpam-5928	357	18	µ	µ	NOUN
ejpam-5928	357	19	)	)	PUNCT
ejpam-5928	357	20	are	be	AUX
ejpam-5928	357	21	disjoint	disjoint	ADJ
ejpam-5928	357	22	˜̃m	˜̃m	ADV
ejpam-5928	357	23	-	-	PUNCT
ejpam-5928	357	24	closed	closed	ADJ
ejpam-5928	357	25	.	.	PUNCT
ejpam-5928	358	1	so	so	ADV
ejpam-5928	358	2	,	,	PUNCT
ejpam-5928	358	3	(	(	PUNCT
ejpam-5928	358	4	ζ̈1	ζ̈1	ADJ
ejpam-5928	358	5	,	,	PUNCT
ejpam-5928	358	6	λ̈1	λ̈1	PROPN
ejpam-5928	358	7	,	,	PUNCT
ejpam-5928	358	8	µ	µ	NOUN
ejpam-5928	358	9	)	)	PUNCT
ejpam-5928	358	10	˜̃∩	˜̃∩	ADV
ejpam-5928	358	11	(	(	PUNCT
ejpam-5928	358	12	ζ̈2	ζ̈2	PROPN
ejpam-5928	358	13	,	,	PUNCT
ejpam-5928	358	14	λ̈2	λ̈2	NOUN
ejpam-5928	358	15	,	,	PUNCT
ejpam-5928	358	16	µ	µ	NOUN
ejpam-5928	358	17	)	)	PUNCT
ejpam-5928	358	18	=	=	SYM
ejpam-5928	358	19	(	(	PUNCT
ejpam-5928	358	20	φ	φ	PROPN
ejpam-5928	358	21	,	,	PUNCT
ejpam-5928	358	22	λ̈	λ̈	PROPN
ejpam-5928	358	23	,	,	PUNCT
ejpam-5928	358	24	µ	µ	NOUN
ejpam-5928	358	25	)	)	PUNCT
ejpam-5928	358	26	and	and	CCONJ
ejpam-5928	358	27	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	358	28	(	(	PUNCT
ejpam-5928	358	29	ζ̈1	ζ̈1	ADJ
ejpam-5928	358	30	,	,	PUNCT
ejpam-5928	358	31	λ̈1	λ̈1	PROPN
ejpam-5928	358	32	,	,	PUNCT
ejpam-5928	358	33	µ	µ	NOUN
ejpam-5928	358	34	)	)	PUNCT
ejpam-5928	358	35	=	=	SYM
ejpam-5928	358	36	(	(	PUNCT
ejpam-5928	358	37	ζ̈1	ζ̈1	ADJ
ejpam-5928	358	38	,	,	PUNCT
ejpam-5928	358	39	λ̈1	λ̈1	PROPN
ejpam-5928	358	40	,	,	PUNCT
ejpam-5928	358	41	µ),˜̃mcl	µ),˜̃mcl	NUM
ejpam-5928	358	42	(	(	PUNCT
ejpam-5928	358	43	ζ̈2	ζ̈2	PROPN
ejpam-5928	358	44	,	,	PUNCT
ejpam-5928	358	45	λ̈2	λ̈2	NOUN
ejpam-5928	358	46	,	,	PUNCT
ejpam-5928	358	47	µ	µ	NOUN
ejpam-5928	358	48	)	)	PUNCT
ejpam-5928	358	49	=	=	PUNCT
ejpam-5928	358	50	(	(	PUNCT
ejpam-5928	358	51	ζ̈2	ζ̈2	PROPN
ejpam-5928	358	52	,	,	PUNCT
ejpam-5928	358	53	λ̈2	λ̈2	NOUN
ejpam-5928	358	54	,	,	PUNCT
ejpam-5928	358	55	µ	µ	NOUN
ejpam-5928	358	56	)	)	PUNCT
ejpam-5928	358	57	and	and	CCONJ
ejpam-5928	358	58	hence	hence	ADV
ejpam-5928	358	59	(	(	PUNCT
ejpam-5928	358	60	ζ̈1	ζ̈1	ADJ
ejpam-5928	358	61	,	,	PUNCT
ejpam-5928	358	62	λ̈1	λ̈1	PROPN
ejpam-5928	358	63	,	,	PUNCT
ejpam-5928	358	64	µ	µ	NOUN
ejpam-5928	358	65	)	)	PUNCT
ejpam-5928	358	66	˜̃∩	˜̃∩	ADV
ejpam-5928	358	67	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	358	68	(	(	PUNCT
ejpam-5928	358	69	ζ̈2	ζ̈2	PROPN
ejpam-5928	358	70	,	,	PUNCT
ejpam-5928	358	71	λ̈2	λ̈2	NOUN
ejpam-5928	358	72	,	,	PUNCT
ejpam-5928	358	73	µ	µ	NOUN
ejpam-5928	358	74	)	)	PUNCT
ejpam-5928	358	75	=	=	SYM
ejpam-5928	359	1	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	359	2	(	(	PUNCT
ejpam-5928	359	3	ζ̈1	ζ̈1	ADJ
ejpam-5928	359	4	,	,	PUNCT
ejpam-5928	359	5	λ̈1	λ̈1	PROPN
ejpam-5928	359	6	,	,	PUNCT
ejpam-5928	359	7	µ	µ	NOUN
ejpam-5928	359	8	)	)	PUNCT
ejpam-5928	359	9	˜̃∩	˜̃∩	ADV
ejpam-5928	359	10	(	(	PUNCT
ejpam-5928	359	11	ζ̈2	ζ̈2	PROPN
ejpam-5928	359	12	,	,	PUNCT
ejpam-5928	359	13	λ̈2	λ̈2	NOUN
ejpam-5928	359	14	,	,	PUNCT
ejpam-5928	359	15	µ	µ	NOUN
ejpam-5928	359	16	)	)	PUNCT
ejpam-5928	359	17	=	=	SYM
ejpam-5928	359	18	(	(	PUNCT
ejpam-5928	359	19	φ	φ	PROPN
ejpam-5928	359	20	,	,	PUNCT
ejpam-5928	359	21	λ̈	λ̈	PROPN
ejpam-5928	359	22	,	,	PUNCT
ejpam-5928	359	23	µ	µ	NOUN
ejpam-5928	359	24	)	)	PUNCT
ejpam-5928	359	25	showing	show	VERB
ejpam-5928	359	26	that	that	SCONJ
ejpam-5928	359	27	(	(	PUNCT
ejpam-5928	359	28	ζ̈1	ζ̈1	ADJ
ejpam-5928	359	29	,	,	PUNCT
ejpam-5928	359	30	λ̈1	λ̈1	PROPN
ejpam-5928	359	31	,	,	PUNCT
ejpam-5928	359	32	µ	µ	NOUN
ejpam-5928	359	33	)	)	PUNCT
ejpam-5928	359	34	and	and	CCONJ
ejpam-5928	359	35	(	(	PUNCT
ejpam-5928	359	36	ζ̈2	ζ̈2	PROPN
ejpam-5928	359	37	,	,	PUNCT
ejpam-5928	359	38	λ̈2	λ̈2	NOUN
ejpam-5928	359	39	,	,	PUNCT
ejpam-5928	359	40	µ	µ	NOUN
ejpam-5928	359	41	)	)	PUNCT
ejpam-5928	359	42	are	be	AUX
ejpam-5928	359	43	˜̃m	˜̃m	ADV
ejpam-5928	359	44	-	-	PUNCT
ejpam-5928	359	45	separated	separate	VERB
ejpam-5928	359	46	bsss	bsss	NOUN
ejpam-5928	359	47	over	over	ADP
ejpam-5928	359	48	π	π	PROPN
ejpam-5928	359	49	.	.	PROPN
ejpam-5928	359	50	remark	remark	PROPN
ejpam-5928	359	51	1	1	NUM
ejpam-5928	359	52	.	.	PUNCT
ejpam-5928	359	53	two	two	NUM
ejpam-5928	359	54	disjoint	disjoint	ADJ
ejpam-5928	359	55	˜̃m	˜̃m	ADJ
ejpam-5928	359	56	-	-	PUNCT
ejpam-5928	359	57	open	open	ADJ
ejpam-5928	359	58	sets	set	NOUN
ejpam-5928	359	59	(	(	PUNCT
ejpam-5928	359	60	ζ̈1	ζ̈1	ADJ
ejpam-5928	359	61	,	,	PUNCT
ejpam-5928	359	62	λ̈1	λ̈1	PROPN
ejpam-5928	359	63	,	,	PUNCT
ejpam-5928	359	64	µ	µ	NOUN
ejpam-5928	359	65	)	)	PUNCT
ejpam-5928	359	66	and	and	CCONJ
ejpam-5928	359	67	(	(	PUNCT
ejpam-5928	359	68	ζ̈2	ζ̈2	PROPN
ejpam-5928	359	69	,	,	PUNCT
ejpam-5928	359	70	λ̈2	λ̈2	NOUN
ejpam-5928	359	71	,	,	PUNCT
ejpam-5928	359	72	µ	µ	NOUN
ejpam-5928	359	73	)	)	PUNCT
ejpam-5928	359	74	need	need	AUX
ejpam-5928	359	75	not	not	PART
ejpam-5928	359	76	be	be	AUX
ejpam-5928	359	77	˜̃m	˜̃m	ADV
ejpam-5928	359	78	-	-	PUNCT
ejpam-5928	359	79	separated	separate	VERB
ejpam-5928	359	80	.	.	PUNCT
ejpam-5928	360	1	example	example	NOUN
ejpam-5928	361	1	6	6	NUM
ejpam-5928	361	2	.	.	PUNCT
ejpam-5928	361	3	let	let	VERB
ejpam-5928	361	4	π	π	NOUN
ejpam-5928	361	5	=	=	PUNCT
ejpam-5928	361	6	{	{	PUNCT
ejpam-5928	361	7	ϵ1	ϵ1	ADJ
ejpam-5928	361	8	,	,	PUNCT
ejpam-5928	361	9	ϵ2	ϵ2	ADJ
ejpam-5928	361	10	,	,	PUNCT
ejpam-5928	361	11	ϵ3	ϵ3	PROPN
ejpam-5928	361	12	,	,	PUNCT
ejpam-5928	361	13	ϵ4	ϵ4	PROPN
ejpam-5928	361	14	}	}	PUNCT
ejpam-5928	361	15	,	,	PUNCT
ejpam-5928	361	16	µ	µ	X
ejpam-5928	361	17	=	=	SYM
ejpam-5928	361	18	{	{	PUNCT
ejpam-5928	361	19	ϑ1	ϑ1	NOUN
ejpam-5928	361	20	,	,	PUNCT
ejpam-5928	361	21	ϑ2	ϑ2	PROPN
ejpam-5928	361	22	}	}	PUNCT
ejpam-5928	361	23	and	and	CCONJ
ejpam-5928	361	24	˜̃m	˜̃m	NOUN
ejpam-5928	361	25	=	=	PUNCT
ejpam-5928	361	26	{	{	PUNCT
ejpam-5928	361	27	(	(	PUNCT
ejpam-5928	361	28	φ	φ	PROPN
ejpam-5928	361	29	,	,	PUNCT
ejpam-5928	361	30	˜̃π	˜̃π	NOUN
ejpam-5928	361	31	,	,	PUNCT
ejpam-5928	361	32	µ	µ	NOUN
ejpam-5928	361	33	)	)	PUNCT
ejpam-5928	361	34	,	,	PUNCT
ejpam-5928	361	35	(	(	PUNCT
ejpam-5928	361	36	˜̃	˜̃	NOUN
ejpam-5928	361	37	π	π	PROPN
ejpam-5928	361	38	,	,	PUNCT
ejpam-5928	361	39	φ	φ	PROPN
ejpam-5928	361	40	,	,	PUNCT
ejpam-5928	361	41	µ	µ	NOUN
ejpam-5928	361	42	)	)	PUNCT
ejpam-5928	361	43	,	,	PUNCT
ejpam-5928	361	44	(	(	PUNCT
ejpam-5928	361	45	ζ̈1	ζ̈1	ADJ
ejpam-5928	361	46	,	,	PUNCT
ejpam-5928	361	47	λ̈1	λ̈1	PROPN
ejpam-5928	361	48	,	,	PUNCT
ejpam-5928	361	49	µ	µ	NOUN
ejpam-5928	361	50	)	)	PUNCT
ejpam-5928	361	51	,	,	PUNCT
ejpam-5928	361	52	(	(	PUNCT
ejpam-5928	361	53	ζ̈2	ζ̈2	PROPN
ejpam-5928	361	54	,	,	PUNCT
ejpam-5928	361	55	λ̈2	λ̈2	NOUN
ejpam-5928	361	56	,	,	PUNCT
ejpam-5928	361	57	µ	µ	NOUN
ejpam-5928	361	58	)	)	PUNCT
ejpam-5928	361	59	,	,	PUNCT
ejpam-5928	361	60	(	(	PUNCT
ejpam-5928	361	61	ζ̈3	ζ̈3	PROPN
ejpam-5928	361	62	,	,	PUNCT
ejpam-5928	361	63	λ̈3	λ̈3	NOUN
ejpam-5928	361	64	,	,	PUNCT
ejpam-5928	361	65	µ	µ	NOUN
ejpam-5928	361	66	)	)	PUNCT
ejpam-5928	361	67	}	}	PUNCT
ejpam-5928	361	68	be	be	AUX
ejpam-5928	361	69	a	a	DET
ejpam-5928	361	70	bsms	bsms	NOUN
ejpam-5928	361	71	over	over	ADP
ejpam-5928	361	72	π	π	PROPN
ejpam-5928	361	73	where	where	SCONJ
ejpam-5928	361	74	(	(	PUNCT
ejpam-5928	361	75	ζ̈1	ζ̈1	ADJ
ejpam-5928	361	76	,	,	PUNCT
ejpam-5928	361	77	λ̈1	λ̈1	PROPN
ejpam-5928	361	78	,	,	PUNCT
ejpam-5928	361	79	µ	µ	NOUN
ejpam-5928	361	80	)	)	PUNCT
ejpam-5928	361	81	,	,	PUNCT
ejpam-5928	361	82	(	(	PUNCT
ejpam-5928	361	83	ζ̈2	ζ̈2	PROPN
ejpam-5928	361	84	,	,	PUNCT
ejpam-5928	361	85	λ̈2	λ̈2	NOUN
ejpam-5928	361	86	,	,	PUNCT
ejpam-5928	361	87	µ	µ	NOUN
ejpam-5928	361	88	)	)	PUNCT
ejpam-5928	361	89	,	,	PUNCT
ejpam-5928	361	90	(	(	PUNCT
ejpam-5928	361	91	ζ̈3	ζ̈3	PROPN
ejpam-5928	361	92	,	,	PUNCT
ejpam-5928	361	93	λ̈3	λ̈3	NOUN
ejpam-5928	361	94	,	,	PUNCT
ejpam-5928	361	95	µ	µ	NOUN
ejpam-5928	361	96	)	)	PUNCT
ejpam-5928	361	97	˜̃∈	˜̃∈	PROPN
ejpam-5928	361	98	bss(π	bss(π	PROPN
ejpam-5928	361	99	)	)	PUNCT
ejpam-5928	361	100	,	,	PUNCT
ejpam-5928	361	101	defined	define	VERB
ejpam-5928	361	102	as	as	ADP
ejpam-5928	361	103	follows	follow	VERB
ejpam-5928	361	104	(	(	PUNCT
ejpam-5928	361	105	ζ̈1	ζ̈1	ADJ
ejpam-5928	361	106	,	,	PUNCT
ejpam-5928	361	107	λ̈1	λ̈1	PROPN
ejpam-5928	361	108	,	,	PUNCT
ejpam-5928	361	109	µ	µ	NOUN
ejpam-5928	361	110	)	)	PUNCT
ejpam-5928	361	111	=	=	PRON
ejpam-5928	361	112	{	{	PUNCT
ejpam-5928	361	113	(	(	PUNCT
ejpam-5928	361	114	ϑ1	ϑ1	NOUN
ejpam-5928	361	115	,	,	PUNCT
ejpam-5928	361	116	{	{	PUNCT
ejpam-5928	361	117	ϵ2	ϵ2	PROPN
ejpam-5928	361	118	}	}	PUNCT
ejpam-5928	361	119	,	,	PUNCT
ejpam-5928	361	120	{	{	PUNCT
ejpam-5928	361	121	ϵ1	ϵ1	ADJ
ejpam-5928	361	122	,	,	PUNCT
ejpam-5928	361	123	ϵ4	ϵ4	NOUN
ejpam-5928	361	124	}	}	PUNCT
ejpam-5928	361	125	)	)	PUNCT
ejpam-5928	361	126	,	,	PUNCT
ejpam-5928	361	127	(	(	PUNCT
ejpam-5928	361	128	ϑ2	ϑ2	NOUN
ejpam-5928	361	129	,	,	PUNCT
ejpam-5928	361	130	{	{	PUNCT
ejpam-5928	361	131	ϵ2	ϵ2	PROPN
ejpam-5928	361	132	}	}	PUNCT
ejpam-5928	361	133	,	,	PUNCT
ejpam-5928	361	134	{	{	PUNCT
ejpam-5928	361	135	ϵ1	ϵ1	ADJ
ejpam-5928	361	136	,	,	PUNCT
ejpam-5928	361	137	ϵ4	ϵ4	NOUN
ejpam-5928	361	138	}	}	PUNCT
ejpam-5928	361	139	)	)	PUNCT
ejpam-5928	361	140	}	}	PUNCT
ejpam-5928	361	141	,	,	PUNCT
ejpam-5928	361	142	(	(	PUNCT
ejpam-5928	361	143	ζ̈2	ζ̈2	PROPN
ejpam-5928	361	144	,	,	PUNCT
ejpam-5928	361	145	λ̈2	λ̈2	NOUN
ejpam-5928	361	146	,	,	PUNCT
ejpam-5928	361	147	µ	µ	NOUN
ejpam-5928	361	148	)	)	PUNCT
ejpam-5928	361	149	=	=	PRON
ejpam-5928	361	150	{	{	PUNCT
ejpam-5928	361	151	(	(	PUNCT
ejpam-5928	361	152	ϑ1	ϑ1	NOUN
ejpam-5928	361	153	,	,	PUNCT
ejpam-5928	361	154	{	{	PUNCT
ejpam-5928	361	155	ϵ3	ϵ3	PROPN
ejpam-5928	361	156	}	}	PUNCT
ejpam-5928	361	157	,	,	PUNCT
ejpam-5928	361	158	{	{	PUNCT
ejpam-5928	361	159	ϵ1	ϵ1	ADJ
ejpam-5928	361	160	,	,	PUNCT
ejpam-5928	361	161	ϵ4	ϵ4	NOUN
ejpam-5928	361	162	}	}	PUNCT
ejpam-5928	361	163	)	)	PUNCT
ejpam-5928	361	164	,	,	PUNCT
ejpam-5928	361	165	(	(	PUNCT
ejpam-5928	361	166	ϑ2	ϑ2	NOUN
ejpam-5928	361	167	,	,	PUNCT
ejpam-5928	361	168	{	{	PUNCT
ejpam-5928	361	169	ϵ3	ϵ3	PROPN
ejpam-5928	361	170	}	}	PUNCT
ejpam-5928	361	171	,	,	PUNCT
ejpam-5928	361	172	{	{	PUNCT
ejpam-5928	361	173	ϵ1	ϵ1	ADJ
ejpam-5928	361	174	,	,	PUNCT
ejpam-5928	361	175	ϵ4	ϵ4	NOUN
ejpam-5928	361	176	}	}	PUNCT
ejpam-5928	361	177	)	)	PUNCT
ejpam-5928	361	178	}	}	PUNCT
ejpam-5928	361	179	,	,	PUNCT
ejpam-5928	361	180	(	(	PUNCT
ejpam-5928	361	181	ζ̈3	ζ̈3	PROPN
ejpam-5928	361	182	,	,	PUNCT
ejpam-5928	361	183	λ̈3	λ̈3	NOUN
ejpam-5928	361	184	,	,	PUNCT
ejpam-5928	361	185	µ	µ	NOUN
ejpam-5928	361	186	)	)	PUNCT
ejpam-5928	361	187	=	=	PRON
ejpam-5928	361	188	{	{	PUNCT
ejpam-5928	361	189	(	(	PUNCT
ejpam-5928	361	190	ϑ1	ϑ1	NOUN
ejpam-5928	361	191	,	,	PUNCT
ejpam-5928	361	192	{	{	PUNCT
ejpam-5928	361	193	ϵ2	ϵ2	ADJ
ejpam-5928	361	194	,	,	PUNCT
ejpam-5928	361	195	ϵ3	ϵ3	PROPN
ejpam-5928	361	196	}	}	PUNCT
ejpam-5928	361	197	,	,	PUNCT
ejpam-5928	361	198	{	{	PUNCT
ejpam-5928	361	199	ϵ1	ϵ1	ADJ
ejpam-5928	361	200	,	,	PUNCT
ejpam-5928	361	201	ϵ4	ϵ4	NOUN
ejpam-5928	361	202	}	}	PUNCT
ejpam-5928	361	203	)	)	PUNCT
ejpam-5928	361	204	,	,	PUNCT
ejpam-5928	361	205	(	(	PUNCT
ejpam-5928	361	206	ϑ2	ϑ2	NOUN
ejpam-5928	361	207	,	,	PUNCT
ejpam-5928	361	208	{	{	PUNCT
ejpam-5928	361	209	ϵ2	ϵ2	ADJ
ejpam-5928	361	210	,	,	PUNCT
ejpam-5928	361	211	ϵ3	ϵ3	PROPN
ejpam-5928	361	212	}	}	PUNCT
ejpam-5928	361	213	,	,	PUNCT
ejpam-5928	361	214	{	{	PUNCT
ejpam-5928	361	215	ϵ1	ϵ1	ADJ
ejpam-5928	361	216	,	,	PUNCT
ejpam-5928	361	217	ϵ4	ϵ4	NOUN
ejpam-5928	361	218	}	}	PUNCT
ejpam-5928	361	219	)	)	PUNCT
ejpam-5928	361	220	}	}	PUNCT
ejpam-5928	361	221	.	.	PUNCT
ejpam-5928	362	1	obviously	obviously	ADV
ejpam-5928	362	2	,	,	PUNCT
ejpam-5928	362	3	(	(	PUNCT
ejpam-5928	362	4	ζ̈1	ζ̈1	ADJ
ejpam-5928	362	5	,	,	PUNCT
ejpam-5928	362	6	λ̈1	λ̈1	PROPN
ejpam-5928	362	7	,	,	PUNCT
ejpam-5928	362	8	µ	µ	NOUN
ejpam-5928	362	9	)	)	PUNCT
ejpam-5928	362	10	,	,	PUNCT
ejpam-5928	362	11	(	(	PUNCT
ejpam-5928	362	12	ζ̈2	ζ̈2	PROPN
ejpam-5928	362	13	,	,	PUNCT
ejpam-5928	362	14	λ̈2	λ̈2	NOUN
ejpam-5928	362	15	,	,	PUNCT
ejpam-5928	362	16	µ	µ	NOUN
ejpam-5928	362	17	)	)	PUNCT
ejpam-5928	362	18	are	be	AUX
ejpam-5928	362	19	disjoint	disjoint	NOUN
ejpam-5928	362	20	˜̃m	˜̃m	ADV
ejpam-5928	362	21	-	-	PUNCT
ejpam-5928	362	22	open	open	ADJ
ejpam-5928	362	23	but	but	CCONJ
ejpam-5928	362	24	not	not	PART
ejpam-5928	362	25	˜̃m	˜̃m	ADV
ejpam-5928	362	26	-	-	PUNCT
ejpam-5928	362	27	separated	separate	VERB
ejpam-5928	362	28	as	as	ADP
ejpam-5928	362	29	˜̃mcl(ζ̈1	˜̃mcl(ζ̈1	NOUN
ejpam-5928	362	30	,	,	PUNCT
ejpam-5928	362	31	λ̈1	λ̈1	NOUN
ejpam-5928	362	32	,	,	PUNCT
ejpam-5928	362	33	µ	µ	NOUN
ejpam-5928	362	34	)	)	PUNCT
ejpam-5928	362	35	=	=	SYM
ejpam-5928	362	36	˜̃mcl(ζ̈2	˜̃mcl(ζ̈2	PROPN
ejpam-5928	362	37	,	,	PUNCT
ejpam-5928	362	38	λ̈2	λ̈2	NOUN
ejpam-5928	362	39	,	,	PUNCT
ejpam-5928	362	40	µ	µ	NOUN
ejpam-5928	362	41	)	)	PUNCT
ejpam-5928	362	42	=	=	SYM
ejpam-5928	362	43	(	(	PUNCT
ejpam-5928	362	44	˜̃	˜̃	NOUN
ejpam-5928	362	45	π	π	PROPN
ejpam-5928	362	46	,	,	PUNCT
ejpam-5928	362	47	φ	φ	PROPN
ejpam-5928	362	48	,	,	PUNCT
ejpam-5928	362	49	µ	µ	NOUN
ejpam-5928	362	50	)	)	PUNCT
ejpam-5928	362	51	,	,	PUNCT
ejpam-5928	362	52	which	which	PRON
ejpam-5928	362	53	implies	imply	VERB
ejpam-5928	362	54	that	that	SCONJ
ejpam-5928	362	55	(	(	PUNCT
ejpam-5928	362	56	ζ̈1	ζ̈1	ADJ
ejpam-5928	362	57	,	,	PUNCT
ejpam-5928	362	58	λ̈1	λ̈1	PROPN
ejpam-5928	362	59	,	,	PUNCT
ejpam-5928	362	60	µ	µ	NOUN
ejpam-5928	362	61	)	)	PUNCT
ejpam-5928	362	62	˜̃∩	˜̃∩	ADV
ejpam-5928	362	63	˜̃mcl(ζ̈2	˜̃mcl(ζ̈2	SYM
ejpam-5928	362	64	,	,	PUNCT
ejpam-5928	362	65	λ̈2	λ̈2	NOUN
ejpam-5928	362	66	,	,	PUNCT
ejpam-5928	362	67	µ	µ	NOUN
ejpam-5928	362	68	)	)	PUNCT
ejpam-5928	362	69	=	=	SYM
ejpam-5928	362	70	(	(	PUNCT
ejpam-5928	362	71	ζ̈1	ζ̈1	ADJ
ejpam-5928	362	72	,	,	PUNCT
ejpam-5928	362	73	λ̈1	λ̈1	PROPN
ejpam-5928	362	74	,	,	PUNCT
ejpam-5928	362	75	µ),˜̃mcl(ζ̈1	µ),˜̃mcl(ζ̈1	X
ejpam-5928	362	76	,	,	PUNCT
ejpam-5928	362	77	λ̈1	λ̈1	PROPN
ejpam-5928	362	78	,	,	PUNCT
ejpam-5928	362	79	µ	µ	NOUN
ejpam-5928	362	80	)	)	PUNCT
ejpam-5928	362	81	˜̃∩	˜̃∩	ADV
ejpam-5928	362	82	(	(	PUNCT
ejpam-5928	362	83	ζ̈2	ζ̈2	PROPN
ejpam-5928	362	84	,	,	PUNCT
ejpam-5928	362	85	λ̈2	λ̈2	NOUN
ejpam-5928	362	86	,	,	PUNCT
ejpam-5928	362	87	µ	µ	NOUN
ejpam-5928	362	88	)	)	PUNCT
ejpam-5928	362	89	=	=	PUNCT
ejpam-5928	362	90	(	(	PUNCT
ejpam-5928	362	91	ζ̈2	ζ̈2	PROPN
ejpam-5928	362	92	,	,	PUNCT
ejpam-5928	362	93	λ̈2	λ̈2	NOUN
ejpam-5928	362	94	,	,	PUNCT
ejpam-5928	362	95	µ	µ	NOUN
ejpam-5928	362	96	)	)	PUNCT
ejpam-5928	362	97	.	.	PUNCT
ejpam-5928	363	1	hence	hence	ADV
ejpam-5928	363	2	the	the	DET
ejpam-5928	363	3	conclusion	conclusion	NOUN
ejpam-5928	363	4	.	.	PUNCT
ejpam-5928	364	1	definition	definition	NOUN
ejpam-5928	364	2	20	20	NUM
ejpam-5928	364	3	.	.	PUNCT
ejpam-5928	365	1	a	a	DET
ejpam-5928	365	2	bs	bs	PROPN
ejpam-5928	365	3	subset	subset	NOUN
ejpam-5928	365	4	(	(	PUNCT
ejpam-5928	365	5	ζ̈	ζ̈	NOUN
ejpam-5928	365	6	,	,	PUNCT
ejpam-5928	365	7	λ̈	λ̈	NOUN
ejpam-5928	365	8	,	,	PUNCT
ejpam-5928	365	9	µ	µ	NOUN
ejpam-5928	365	10	)	)	PUNCT
ejpam-5928	365	11	of	of	ADP
ejpam-5928	365	12	bsms	bsm	NOUN
ejpam-5928	365	13	(	(	PUNCT
ejpam-5928	365	14	π	π	PROPN
ejpam-5928	365	15	,	,	PUNCT
ejpam-5928	365	16	˜̃m	˜̃m	PROPN
ejpam-5928	365	17	,	,	PUNCT
ejpam-5928	365	18	µ,¬µ	µ,¬µ	ADJ
ejpam-5928	365	19	)	)	PUNCT
ejpam-5928	365	20	over	over	ADP
ejpam-5928	365	21	π	π	PROPN
ejpam-5928	365	22	is	be	AUX
ejpam-5928	365	23	called	call	VERB
ejpam-5928	365	24	bs	bs	ADJ
ejpam-5928	365	25	˜̃m	˜̃m	ADV
ejpam-5928	365	26	-	-	PUNCT
ejpam-5928	365	27	connected	connect	VERB
ejpam-5928	365	28	over	over	ADP
ejpam-5928	365	29	π	π	PROPN
ejpam-5928	365	30	if	if	SCONJ
ejpam-5928	365	31	there	there	PRON
ejpam-5928	365	32	are	be	VERB
ejpam-5928	365	33	no	no	PRON
ejpam-5928	365	34	a	a	DET
ejpam-5928	365	35	˜̃m	˜̃m	ADV
ejpam-5928	365	36	-	-	PUNCT
ejpam-5928	365	37	separated	separate	VERB
ejpam-5928	365	38	bsss	bsss	NOUN
ejpam-5928	365	39	of	of	ADP
ejpam-5928	365	40	(	(	PUNCT
ejpam-5928	365	41	ζ̈	ζ̈	PROPN
ejpam-5928	365	42	,	,	PUNCT
ejpam-5928	365	43	λ̈	λ̈	NOUN
ejpam-5928	365	44	,	,	PUNCT
ejpam-5928	365	45	µ	µ	NOUN
ejpam-5928	365	46	)	)	PUNCT
ejpam-5928	365	47	.	.	PUNCT
ejpam-5928	366	1	otherwise	otherwise	ADV
ejpam-5928	366	2	,	,	PUNCT
ejpam-5928	366	3	a	a	DET
ejpam-5928	366	4	bs	bs	NOUN
ejpam-5928	366	5	set	set	NOUN
ejpam-5928	366	6	(	(	PUNCT
ejpam-5928	366	7	ζ̈	ζ̈	PROPN
ejpam-5928	366	8	,	,	PUNCT
ejpam-5928	366	9	λ̈	λ̈	NOUN
ejpam-5928	366	10	,	,	PUNCT
ejpam-5928	366	11	µ	µ	NOUN
ejpam-5928	366	12	)	)	PUNCT
ejpam-5928	366	13	is	be	AUX
ejpam-5928	366	14	called	call	VERB
ejpam-5928	366	15	bs	bs	ADJ
ejpam-5928	366	16	˜̃m	˜̃m	ADV
ejpam-5928	366	17	-	-	PUNCT
ejpam-5928	366	18	disconnected	disconnected	ADJ
ejpam-5928	366	19	over	over	ADP
ejpam-5928	366	20	π	π	PROPN
ejpam-5928	366	21	.	.	PROPN
ejpam-5928	366	22	remark	remark	PROPN
ejpam-5928	366	23	2	2	NUM
ejpam-5928	366	24	.	.	PUNCT
ejpam-5928	367	1	the	the	DET
ejpam-5928	367	2	set	set	NOUN
ejpam-5928	367	3	(	(	PUNCT
ejpam-5928	367	4	φ	φ	PROPN
ejpam-5928	367	5	,	,	PUNCT
ejpam-5928	367	6	˜̃	˜̃	NOUN
ejpam-5928	367	7	π	π	PROPN
ejpam-5928	367	8	,	,	PUNCT
ejpam-5928	367	9	µ	µ	NOUN
ejpam-5928	367	10	)	)	PUNCT
ejpam-5928	367	11	is	be	AUX
ejpam-5928	367	12	always	always	ADV
ejpam-5928	367	13	bs	bs	ADP
ejpam-5928	367	14	˜̃m	˜̃m	ADV
ejpam-5928	367	15	-	-	PUNCT
ejpam-5928	367	16	connected	connect	VERB
ejpam-5928	367	17	.	.	PUNCT
ejpam-5928	368	1	also	also	ADV
ejpam-5928	368	2	,	,	PUNCT
ejpam-5928	368	3	every	every	DET
ejpam-5928	368	4	bss	bss	NOUN
ejpam-5928	368	5	in	in	ADP
ejpam-5928	368	6	which	which	PRON
ejpam-5928	368	7	αϑ	αϑ	NOUN
ejpam-5928	368	8	β	β	X
ejpam-5928	368	9	is	be	AUX
ejpam-5928	368	10	bs	bs	PROPN
ejpam-5928	368	11	˜̃m	˜̃m	ADV
ejpam-5928	368	12	-	-	PUNCT
ejpam-5928	368	13	connected	connect	VERB
ejpam-5928	368	14	as	as	SCONJ
ejpam-5928	368	15	it	it	PRON
ejpam-5928	368	16	can	can	AUX
ejpam-5928	368	17	not	not	PART
ejpam-5928	368	18	written	write	VERB
ejpam-5928	368	19	as	as	ADP
ejpam-5928	368	20	a	a	DET
ejpam-5928	368	21	bs	bs	PROPN
ejpam-5928	368	22	union	union	NOUN
ejpam-5928	368	23	of	of	ADP
ejpam-5928	368	24	a	a	DET
ejpam-5928	368	25	pair	pair	NOUN
ejpam-5928	368	26	of	of	ADP
ejpam-5928	368	27	nonnull	nonnull	NOUN
ejpam-5928	368	28	˜̃m	˜̃m	ADV
ejpam-5928	368	29	-	-	PUNCT
ejpam-5928	368	30	separated	separate	VERB
ejpam-5928	368	31	sets	set	NOUN
ejpam-5928	368	32	.	.	PUNCT
ejpam-5928	369	1	definition	definition	NOUN
ejpam-5928	369	2	21	21	NUM
ejpam-5928	369	3	.	.	PUNCT
ejpam-5928	370	1	let	let	VERB
ejpam-5928	370	2	αϑ	αϑ	ADP
ejpam-5928	370	3	β	β	VERB
ejpam-5928	370	4	,	,	PUNCT
ejpam-5928	370	5	α	α	PROPN
ejpam-5928	370	6	′µ′	′µ′	PROPN
ejpam-5928	370	7	β′	β′	NUM
ejpam-5928	371	1	˜̃∈	˜̃∈	PROPN
ejpam-5928	371	2	bsp(π)(µ,¬µ	bsp(π)(µ,¬µ	NUM
ejpam-5928	371	3	)	)	PUNCT
ejpam-5928	371	4	of	of	ADP
ejpam-5928	371	5	a	a	DET
ejpam-5928	371	6	bsms	bsms	NOUN
ejpam-5928	371	7	(	(	PUNCT
ejpam-5928	371	8	π	π	PROPN
ejpam-5928	371	9	,	,	PUNCT
ejpam-5928	371	10	˜̃m	˜̃m	PROPN
ejpam-5928	371	11	,	,	PUNCT
ejpam-5928	371	12	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	371	13	)	)	PUNCT
ejpam-5928	371	14	.	.	PUNCT
ejpam-5928	372	1	then	then	ADV
ejpam-5928	372	2	,	,	PUNCT
ejpam-5928	372	3	αϑ	αϑ	ADP
ejpam-5928	372	4	β	β	X
ejpam-5928	372	5	and	and	CCONJ
ejpam-5928	372	6	α′µ′	α′µ′	PROPN
ejpam-5928	372	7	β′	β′	NUM
ejpam-5928	372	8	are	be	AUX
ejpam-5928	372	9	called	call	VERB
ejpam-5928	372	10	bs	bs	ADJ
ejpam-5928	372	11	˜̃m	˜̃m	ADV
ejpam-5928	372	12	-	-	PUNCT
ejpam-5928	372	13	connected	connect	VERB
ejpam-5928	372	14	points	point	NOUN
ejpam-5928	372	15	if	if	SCONJ
ejpam-5928	372	16	they	they	PRON
ejpam-5928	372	17	are	be	AUX
ejpam-5928	372	18	contained	contain	VERB
ejpam-5928	372	19	in	in	ADP
ejpam-5928	372	20	bs	bs	PROPN
ejpam-5928	372	21	˜̃m	˜̃m	ADV
ejpam-5928	372	22	-	-	PUNCT
ejpam-5928	372	23	connected	connect	VERB
ejpam-5928	372	24	set	set	VERB
ejpam-5928	372	25	over	over	ADP
ejpam-5928	372	26	π	π	PROPN
ejpam-5928	372	27	.	.	PUNCT
ejpam-5928	373	1	proposition	proposition	NOUN
ejpam-5928	373	2	7	7	NUM
ejpam-5928	373	3	.	.	PUNCT
ejpam-5928	374	1	let	let	VERB
ejpam-5928	374	2	(	(	PUNCT
ejpam-5928	374	3	π	π	X
ejpam-5928	374	4	,	,	PUNCT
ejpam-5928	374	5	˜̃m	˜̃m	PROPN
ejpam-5928	374	6	,	,	PUNCT
ejpam-5928	374	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	374	8	)	)	PUNCT
ejpam-5928	374	9	be	be	VERB
ejpam-5928	374	10	a	a	DET
ejpam-5928	374	11	bsms	bsms	NOUN
ejpam-5928	374	12	over	over	ADP
ejpam-5928	374	13	π	π	PROPN
ejpam-5928	374	14	and	and	CCONJ
ejpam-5928	374	15	(	(	PUNCT
ejpam-5928	374	16	ζ̈	ζ̈	NOUN
ejpam-5928	374	17	,	,	PUNCT
ejpam-5928	374	18	λ̈	λ̈	NOUN
ejpam-5928	374	19	,	,	PUNCT
ejpam-5928	374	20	µ	µ	NOUN
ejpam-5928	374	21	)	)	PUNCT
ejpam-5928	374	22	be	be	AUX
ejpam-5928	374	23	a	a	DET
ejpam-5928	374	24	bs	bs	NOUN
ejpam-5928	375	1	˜̃m	˜̃m	ADV
ejpam-5928	375	2	-	-	PUNCT
ejpam-5928	375	3	connected	connect	VERB
ejpam-5928	375	4	set	set	NOUN
ejpam-5928	375	5	s.t	s.t	PROPN
ejpam-5928	375	6	.	.	PROPN
ejpam-5928	375	7	(	(	PUNCT
ejpam-5928	375	8	ζ̈	ζ̈	PROPN
ejpam-5928	375	9	,	,	PUNCT
ejpam-5928	375	10	λ̈	λ̈	NOUN
ejpam-5928	375	11	,	,	PUNCT
ejpam-5928	375	12	µ	µ	NOUN
ejpam-5928	375	13	)	)	PUNCT
ejpam-5928	375	14	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	375	15	(	(	PUNCT
ejpam-5928	375	16	ζ̈1	ζ̈1	ADJ
ejpam-5928	375	17	,	,	PUNCT
ejpam-5928	375	18	λ̈1	λ̈1	PROPN
ejpam-5928	375	19	,	,	PUNCT
ejpam-5928	375	20	µ	µ	NOUN
ejpam-5928	375	21	)	)	PUNCT
ejpam-5928	375	22	˜̃∪	˜̃∪	PROPN
ejpam-5928	375	23	(	(	PUNCT
ejpam-5928	375	24	ζ̈2	ζ̈2	PROPN
ejpam-5928	375	25	,	,	PUNCT
ejpam-5928	375	26	λ̈2	λ̈2	NOUN
ejpam-5928	375	27	,	,	PUNCT
ejpam-5928	375	28	µ	µ	NOUN
ejpam-5928	375	29	)	)	PUNCT
ejpam-5928	375	30	,	,	PUNCT
ejpam-5928	375	31	where	where	SCONJ
ejpam-5928	375	32	(	(	PUNCT
ejpam-5928	375	33	ζ̈1	ζ̈1	ADJ
ejpam-5928	375	34	,	,	PUNCT
ejpam-5928	375	35	λ̈1	λ̈1	PROPN
ejpam-5928	375	36	,	,	PUNCT
ejpam-5928	375	37	µ	µ	NOUN
ejpam-5928	375	38	)	)	PUNCT
ejpam-5928	375	39	and	and	CCONJ
ejpam-5928	375	40	(	(	PUNCT
ejpam-5928	375	41	ζ̈2	ζ̈2	PROPN
ejpam-5928	375	42	,	,	PUNCT
ejpam-5928	375	43	λ̈2	λ̈2	NOUN
ejpam-5928	375	44	,	,	PUNCT
ejpam-5928	375	45	µ	µ	NOUN
ejpam-5928	375	46	)	)	PUNCT
ejpam-5928	375	47	are	be	AUX
ejpam-5928	375	48	˜̃m	˜̃m	ADV
ejpam-5928	375	49	-	-	PUNCT
ejpam-5928	375	50	separated	separate	VERB
ejpam-5928	375	51	bsss	bsss	NOUN
ejpam-5928	375	52	.	.	PUNCT
ejpam-5928	376	1	then	then	ADV
ejpam-5928	376	2	(	(	PUNCT
ejpam-5928	376	3	ζ̈	ζ̈	NOUN
ejpam-5928	376	4	,	,	PUNCT
ejpam-5928	376	5	λ̈	λ̈	NOUN
ejpam-5928	376	6	,	,	PUNCT
ejpam-5928	376	7	µ	µ	NOUN
ejpam-5928	376	8	)	)	PUNCT
ejpam-5928	376	9	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	376	10	(	(	PUNCT
ejpam-5928	376	11	ζ̈1	ζ̈1	ADJ
ejpam-5928	376	12	,	,	PUNCT
ejpam-5928	376	13	λ̈1	λ̈1	PROPN
ejpam-5928	376	14	,	,	PUNCT
ejpam-5928	376	15	µ	µ	NOUN
ejpam-5928	376	16	)	)	PUNCT
ejpam-5928	376	17	or	or	CCONJ
ejpam-5928	376	18	(	(	PUNCT
ejpam-5928	376	19	ζ̈	ζ̈	NOUN
ejpam-5928	376	20	,	,	PUNCT
ejpam-5928	376	21	λ̈	λ̈	NOUN
ejpam-5928	376	22	,	,	PUNCT
ejpam-5928	376	23	µ	µ	NOUN
ejpam-5928	376	24	)	)	PUNCT
ejpam-5928	376	25	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	376	26	(	(	PUNCT
ejpam-5928	376	27	ζ̈2	ζ̈2	PROPN
ejpam-5928	376	28	,	,	PUNCT
ejpam-5928	376	29	λ̈2	λ̈2	NOUN
ejpam-5928	376	30	,	,	PUNCT
ejpam-5928	376	31	µ	µ	NOUN
ejpam-5928	376	32	)	)	PUNCT
ejpam-5928	376	33	.	.	PUNCT
ejpam-5928	377	1	proof	proof	NOUN
ejpam-5928	377	2	.	.	PUNCT
ejpam-5928	378	1	from	from	ADP
ejpam-5928	378	2	(	(	PUNCT
ejpam-5928	378	3	ζ̈1	ζ̈1	ADJ
ejpam-5928	378	4	,	,	PUNCT
ejpam-5928	378	5	λ̈1	λ̈1	PROPN
ejpam-5928	378	6	,	,	PUNCT
ejpam-5928	378	7	µ	µ	NOUN
ejpam-5928	378	8	)	)	PUNCT
ejpam-5928	378	9	and	and	CCONJ
ejpam-5928	378	10	(	(	PUNCT
ejpam-5928	378	11	ζ̈2	ζ̈2	PROPN
ejpam-5928	378	12	,	,	PUNCT
ejpam-5928	378	13	λ̈2	λ̈2	NOUN
ejpam-5928	378	14	,	,	PUNCT
ejpam-5928	378	15	µ	µ	NOUN
ejpam-5928	378	16	)	)	PUNCT
ejpam-5928	378	17	are	be	AUX
ejpam-5928	378	18	˜̃m	˜̃m	ADV
ejpam-5928	378	19	-	-	PUNCT
ejpam-5928	378	20	separated	separate	VERB
ejpam-5928	378	21	bsss	bsss	NOUN
ejpam-5928	378	22	,	,	PUNCT
ejpam-5928	378	23	then	then	ADV
ejpam-5928	378	24	(	(	PUNCT
ejpam-5928	378	25	ζ̈1	ζ̈1	ADJ
ejpam-5928	378	26	,	,	PUNCT
ejpam-5928	378	27	λ̈1	λ̈1	PROPN
ejpam-5928	378	28	,	,	PUNCT
ejpam-5928	378	29	µ	µ	NOUN
ejpam-5928	378	30	)	)	PUNCT
ejpam-5928	378	31	˜̃∩	˜̃∩	ADV
ejpam-5928	378	32	˜̃mcl(ζ̈2	˜̃mcl(ζ̈2	SYM
ejpam-5928	378	33	,	,	PUNCT
ejpam-5928	378	34	λ̈2	λ̈2	NOUN
ejpam-5928	378	35	,	,	PUNCT
ejpam-5928	378	36	µ	µ	NOUN
ejpam-5928	378	37	)	)	PUNCT
ejpam-5928	378	38	=	=	SYM
ejpam-5928	378	39	(	(	PUNCT
ejpam-5928	378	40	φ	φ	PROPN
ejpam-5928	378	41	,	,	PUNCT
ejpam-5928	378	42	λ̈	λ̈	PROPN
ejpam-5928	378	43	,	,	PUNCT
ejpam-5928	378	44	µ	µ	NOUN
ejpam-5928	378	45	)	)	PUNCT
ejpam-5928	378	46	and	and	CCONJ
ejpam-5928	378	47	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	378	48	(	(	PUNCT
ejpam-5928	378	49	ζ̈1	ζ̈1	ADJ
ejpam-5928	378	50	,	,	PUNCT
ejpam-5928	378	51	λ̈1	λ̈1	PROPN
ejpam-5928	378	52	,	,	PUNCT
ejpam-5928	378	53	µ	µ	NOUN
ejpam-5928	378	54	)	)	PUNCT
ejpam-5928	378	55	˜̃∩	˜̃∩	ADV
ejpam-5928	378	56	(	(	PUNCT
ejpam-5928	378	57	ζ̈2	ζ̈2	PROPN
ejpam-5928	378	58	,	,	PUNCT
ejpam-5928	378	59	λ̈2	λ̈2	NOUN
ejpam-5928	378	60	,	,	PUNCT
ejpam-5928	378	61	µ	µ	NOUN
ejpam-5928	378	62	)	)	PUNCT
ejpam-5928	378	63	=	=	SYM
ejpam-5928	378	64	(	(	PUNCT
ejpam-5928	378	65	φ	φ	PROPN
ejpam-5928	378	66	,	,	PUNCT
ejpam-5928	378	67	λ̈	λ̈	PROPN
ejpam-5928	378	68	,	,	PUNCT
ejpam-5928	378	69	µ	µ	NOUN
ejpam-5928	378	70	)	)	PUNCT
ejpam-5928	378	71	.	.	PUNCT
ejpam-5928	379	1	since	since	SCONJ
ejpam-5928	379	2	(	(	PUNCT
ejpam-5928	379	3	ζ̈	ζ̈	NOUN
ejpam-5928	379	4	,	,	PUNCT
ejpam-5928	379	5	λ̈	λ̈	NOUN
ejpam-5928	379	6	,	,	PUNCT
ejpam-5928	379	7	µ	µ	NOUN
ejpam-5928	379	8	)	)	PUNCT
ejpam-5928	379	9	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	379	10	(	(	PUNCT
ejpam-5928	379	11	ζ̈1	ζ̈1	ADJ
ejpam-5928	379	12	,	,	PUNCT
ejpam-5928	379	13	λ̈1	λ̈1	PROPN
ejpam-5928	379	14	,	,	PUNCT
ejpam-5928	379	15	µ	µ	NOUN
ejpam-5928	379	16	)	)	PUNCT
ejpam-5928	379	17	˜̃∪	˜̃∪	PROPN
ejpam-5928	379	18	(	(	PUNCT
ejpam-5928	379	19	ζ̈2	ζ̈2	PROPN
ejpam-5928	379	20	,	,	PUNCT
ejpam-5928	379	21	λ̈2	λ̈2	NOUN
ejpam-5928	379	22	,	,	PUNCT
ejpam-5928	379	23	µ	µ	NOUN
ejpam-5928	379	24	)	)	PUNCT
ejpam-5928	379	25	,	,	PUNCT
ejpam-5928	379	26	then	then	ADV
ejpam-5928	379	27	(	(	PUNCT
ejpam-5928	379	28	ζ̈	ζ̈	NOUN
ejpam-5928	379	29	,	,	PUNCT
ejpam-5928	379	30	λ̈	λ̈	NOUN
ejpam-5928	379	31	,	,	PUNCT
ejpam-5928	379	32	µ	µ	NOUN
ejpam-5928	379	33	)	)	PUNCT
ejpam-5928	379	34	=	=	SYM
ejpam-5928	379	35	(	(	PUNCT
ejpam-5928	379	36	ζ̈	ζ̈	PROPN
ejpam-5928	379	37	,	,	PUNCT
ejpam-5928	379	38	λ̈	λ̈	NOUN
ejpam-5928	379	39	,	,	PUNCT
ejpam-5928	379	40	µ	µ	NOUN
ejpam-5928	379	41	)	)	PUNCT
ejpam-5928	379	42	˜̃∩	˜̃∩	ADV
ejpam-5928	379	43	(	(	PUNCT
ejpam-5928	379	44	(	(	PUNCT
ejpam-5928	379	45	ζ̈1	ζ̈1	ADJ
ejpam-5928	379	46	,	,	PUNCT
ejpam-5928	379	47	λ̈1	λ̈1	PROPN
ejpam-5928	379	48	,	,	PUNCT
ejpam-5928	379	49	µ	µ	NOUN
ejpam-5928	379	50	)	)	PUNCT
ejpam-5928	379	51	˜̃∪	˜̃∪	PROPN
ejpam-5928	379	52	(	(	PUNCT
ejpam-5928	379	53	ζ̈2	ζ̈2	PROPN
ejpam-5928	379	54	,	,	PUNCT
ejpam-5928	379	55	λ̈2	λ̈2	NOUN
ejpam-5928	379	56	,	,	PUNCT
ejpam-5928	379	57	µ	µ	NOUN
ejpam-5928	379	58	)	)	PUNCT
ejpam-5928	379	59	)	)	PUNCT
ejpam-5928	380	1	=	=	SYM
ejpam-5928	380	2	(	(	PUNCT
ejpam-5928	380	3	(	(	PUNCT
ejpam-5928	380	4	ζ̈	ζ̈	NOUN
ejpam-5928	380	5	,	,	PUNCT
ejpam-5928	380	6	λ̈	λ̈	NOUN
ejpam-5928	380	7	,	,	PUNCT
ejpam-5928	380	8	µ	µ	NOUN
ejpam-5928	380	9	)	)	PUNCT
ejpam-5928	380	10	˜̃∩	˜̃∩	ADV
ejpam-5928	380	11	(	(	PUNCT
ejpam-5928	380	12	ζ̈1	ζ̈1	ADJ
ejpam-5928	380	13	,	,	PUNCT
ejpam-5928	380	14	λ̈1	λ̈1	PROPN
ejpam-5928	380	15	,	,	PUNCT
ejpam-5928	380	16	µ	µ	NOUN
ejpam-5928	380	17	)	)	PUNCT
ejpam-5928	380	18	)	)	PUNCT
ejpam-5928	381	1	˜̃∪	˜̃∪	PROPN
ejpam-5928	381	2	r.	r.	PROPN
ejpam-5928	381	3	a.	a.	PROPN
ejpam-5928	381	4	mohammed	mohammed	PROPN
ejpam-5928	381	5	/	/	SYM
ejpam-5928	381	6	eur	eur	PROPN
ejpam-5928	381	7	.	.	PUNCT
ejpam-5928	382	1	j.	j.	PROPN
ejpam-5928	382	2	pure	pure	PROPN
ejpam-5928	382	3	appl	appl	PROPN
ejpam-5928	382	4	.	.	PROPN
ejpam-5928	382	5	math	math	PROPN
ejpam-5928	382	6	,	,	PUNCT
ejpam-5928	382	7	18	18	NUM
ejpam-5928	382	8	(	(	PUNCT
ejpam-5928	382	9	2	2	NUM
ejpam-5928	382	10	)	)	PUNCT
ejpam-5928	382	11	(	(	PUNCT
ejpam-5928	382	12	2025	2025	NUM
ejpam-5928	382	13	)	)	PUNCT
ejpam-5928	382	14	,	,	PUNCT
ejpam-5928	382	15	5928	5928	NUM
ejpam-5928	382	16	15	15	NUM
ejpam-5928	382	17	of	of	ADP
ejpam-5928	382	18	26	26	NUM
ejpam-5928	382	19	(	(	PUNCT
ejpam-5928	382	20	(	(	PUNCT
ejpam-5928	382	21	ζ̈	ζ̈	NOUN
ejpam-5928	382	22	,	,	PUNCT
ejpam-5928	382	23	λ̈	λ̈	NOUN
ejpam-5928	382	24	,	,	PUNCT
ejpam-5928	382	25	µ	µ	NOUN
ejpam-5928	382	26	)	)	PUNCT
ejpam-5928	382	27	˜̃∩	˜̃∩	ADV
ejpam-5928	382	28	(	(	PUNCT
ejpam-5928	382	29	ζ̈2	ζ̈2	PROPN
ejpam-5928	382	30	,	,	PUNCT
ejpam-5928	382	31	λ̈2	λ̈2	NOUN
ejpam-5928	382	32	,	,	PUNCT
ejpam-5928	382	33	µ	µ	NOUN
ejpam-5928	382	34	)	)	PUNCT
ejpam-5928	382	35	)	)	PUNCT
ejpam-5928	382	36	.	.	PUNCT
ejpam-5928	383	1	we	we	PRON
ejpam-5928	383	2	states	state	VERB
ejpam-5928	383	3	that	that	SCONJ
ejpam-5928	383	4	at	at	ADV
ejpam-5928	383	5	least	least	ADJ
ejpam-5928	383	6	one	one	NUM
ejpam-5928	383	7	of	of	ADP
ejpam-5928	383	8	the	the	DET
ejpam-5928	383	9	bsss	bsss	NOUN
ejpam-5928	383	10	(	(	PUNCT
ejpam-5928	383	11	(	(	PUNCT
ejpam-5928	383	12	ζ̈	ζ̈	NOUN
ejpam-5928	383	13	,	,	PUNCT
ejpam-5928	383	14	λ̈	λ̈	NOUN
ejpam-5928	383	15	,	,	PUNCT
ejpam-5928	383	16	µ	µ	NOUN
ejpam-5928	383	17	)	)	PUNCT
ejpam-5928	383	18	˜̃∩	˜̃∩	ADV
ejpam-5928	383	19	(	(	PUNCT
ejpam-5928	383	20	ζ̈1	ζ̈1	ADJ
ejpam-5928	383	21	,	,	PUNCT
ejpam-5928	383	22	λ̈1	λ̈1	PROPN
ejpam-5928	383	23	,	,	PUNCT
ejpam-5928	383	24	µ	µ	NOUN
ejpam-5928	383	25	)	)	PUNCT
ejpam-5928	383	26	)	)	PUNCT
ejpam-5928	383	27	and	and	CCONJ
ejpam-5928	383	28	(	(	PUNCT
ejpam-5928	383	29	(	(	PUNCT
ejpam-5928	383	30	ζ̈	ζ̈	NOUN
ejpam-5928	383	31	,	,	PUNCT
ejpam-5928	383	32	λ̈	λ̈	NOUN
ejpam-5928	383	33	,	,	PUNCT
ejpam-5928	383	34	µ	µ	NOUN
ejpam-5928	383	35	)	)	PUNCT
ejpam-5928	383	36	˜̃∩	˜̃∩	ADV
ejpam-5928	383	37	(	(	PUNCT
ejpam-5928	383	38	ζ̈2	ζ̈2	PROPN
ejpam-5928	383	39	,	,	PUNCT
ejpam-5928	383	40	λ̈2	λ̈2	NOUN
ejpam-5928	383	41	,	,	PUNCT
ejpam-5928	383	42	µ	µ	NOUN
ejpam-5928	383	43	)	)	PUNCT
ejpam-5928	383	44	)	)	PUNCT
ejpam-5928	383	45	is	be	AUX
ejpam-5928	383	46	null	null	ADJ
ejpam-5928	383	47	bss	bss	NOUN
ejpam-5928	383	48	.	.	PUNCT
ejpam-5928	384	1	now	now	ADV
ejpam-5928	384	2	,	,	PUNCT
ejpam-5928	384	3	suppose	suppose	VERB
ejpam-5928	384	4	that	that	SCONJ
ejpam-5928	384	5	if	if	SCONJ
ejpam-5928	384	6	possible	possible	ADJ
ejpam-5928	384	7	non	non	NOUN
ejpam-5928	384	8	of	of	ADP
ejpam-5928	384	9	these	these	DET
ejpam-5928	384	10	bsss	bsss	NOUN
ejpam-5928	384	11	is	be	AUX
ejpam-5928	384	12	null	null	ADJ
ejpam-5928	384	13	,	,	PUNCT
ejpam-5928	384	14	hence	hence	ADV
ejpam-5928	384	15	,	,	PUNCT
ejpam-5928	384	16	(	(	PUNCT
ejpam-5928	384	17	ζ̈	ζ̈	NOUN
ejpam-5928	384	18	,	,	PUNCT
ejpam-5928	384	19	λ̈	λ̈	NOUN
ejpam-5928	384	20	,	,	PUNCT
ejpam-5928	384	21	µ	µ	NOUN
ejpam-5928	384	22	)	)	PUNCT
ejpam-5928	384	23	˜̃∩	˜̃∩	ADV
ejpam-5928	384	24	(	(	PUNCT
ejpam-5928	384	25	ζ̈1	ζ̈1	ADJ
ejpam-5928	384	26	,	,	PUNCT
ejpam-5928	384	27	λ̈1	λ̈1	PROPN
ejpam-5928	384	28	,	,	PUNCT
ejpam-5928	384	29	µ	µ	NOUN
ejpam-5928	384	30	)	)	PUNCT
ejpam-5928	384	31	̸=	̸=	PROPN
ejpam-5928	384	32	(	(	PUNCT
ejpam-5928	384	33	φ	φ	PROPN
ejpam-5928	384	34	,	,	PUNCT
ejpam-5928	384	35	λ̈	λ̈	PROPN
ejpam-5928	384	36	,	,	PUNCT
ejpam-5928	384	37	µ	µ	NOUN
ejpam-5928	384	38	)	)	PUNCT
ejpam-5928	384	39	and	and	CCONJ
ejpam-5928	384	40	(	(	PUNCT
ejpam-5928	384	41	ζ̈	ζ̈	NOUN
ejpam-5928	384	42	,	,	PUNCT
ejpam-5928	384	43	λ̈	λ̈	NOUN
ejpam-5928	384	44	,	,	PUNCT
ejpam-5928	384	45	µ	µ	NOUN
ejpam-5928	384	46	)	)	PUNCT
ejpam-5928	384	47	˜̃∩	˜̃∩	ADV
ejpam-5928	384	48	(	(	PUNCT
ejpam-5928	384	49	ζ̈2	ζ̈2	PROPN
ejpam-5928	384	50	,	,	PUNCT
ejpam-5928	384	51	λ̈2	λ̈2	NOUN
ejpam-5928	384	52	,	,	PUNCT
ejpam-5928	384	53	µ	µ	NOUN
ejpam-5928	384	54	)	)	PUNCT
ejpam-5928	384	55	̸=	̸=	PROPN
ejpam-5928	384	56	(	(	PUNCT
ejpam-5928	384	57	φ	φ	PROPN
ejpam-5928	384	58	,	,	PUNCT
ejpam-5928	384	59	λ̈	λ̈	PROPN
ejpam-5928	384	60	,	,	PUNCT
ejpam-5928	384	61	µ	µ	NOUN
ejpam-5928	384	62	)	)	PUNCT
ejpam-5928	384	63	.	.	PUNCT
ejpam-5928	385	1	thus	thus	ADV
ejpam-5928	385	2	,	,	PUNCT
ejpam-5928	385	3	(	(	PUNCT
ejpam-5928	385	4	(	(	PUNCT
ejpam-5928	385	5	ζ̈	ζ̈	NOUN
ejpam-5928	385	6	,	,	PUNCT
ejpam-5928	385	7	λ̈	λ̈	NOUN
ejpam-5928	385	8	,	,	PUNCT
ejpam-5928	385	9	µ	µ	NOUN
ejpam-5928	385	10	)	)	PUNCT
ejpam-5928	385	11	˜̃∩	˜̃∩	ADV
ejpam-5928	385	12	(	(	PUNCT
ejpam-5928	385	13	ζ̈1	ζ̈1	ADJ
ejpam-5928	385	14	,	,	PUNCT
ejpam-5928	385	15	λ̈1	λ̈1	PROPN
ejpam-5928	385	16	,	,	PUNCT
ejpam-5928	385	17	µ	µ	NOUN
ejpam-5928	385	18	)	)	PUNCT
ejpam-5928	385	19	)	)	PUNCT
ejpam-5928	385	20	˜̃∩	˜̃∩	ADV
ejpam-5928	385	21	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	385	22	(	(	PUNCT
ejpam-5928	385	23	(	(	PUNCT
ejpam-5928	385	24	ζ̈	ζ̈	NOUN
ejpam-5928	385	25	,	,	PUNCT
ejpam-5928	385	26	λ̈	λ̈	NOUN
ejpam-5928	385	27	,	,	PUNCT
ejpam-5928	385	28	µ	µ	NOUN
ejpam-5928	385	29	)	)	PUNCT
ejpam-5928	385	30	˜̃∩	˜̃∩	ADV
ejpam-5928	385	31	(	(	PUNCT
ejpam-5928	385	32	ζ̈2	ζ̈2	PROPN
ejpam-5928	385	33	,	,	PUNCT
ejpam-5928	385	34	λ̈2	λ̈2	NOUN
ejpam-5928	385	35	,	,	PUNCT
ejpam-5928	385	36	µ	µ	NOUN
ejpam-5928	385	37	)	)	PUNCT
ejpam-5928	385	38	)	)	PUNCT
ejpam-5928	385	39	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	385	40	(	(	PUNCT
ejpam-5928	385	41	(	(	PUNCT
ejpam-5928	385	42	ζ̈	ζ̈	NOUN
ejpam-5928	385	43	,	,	PUNCT
ejpam-5928	385	44	λ̈	λ̈	NOUN
ejpam-5928	385	45	,	,	PUNCT
ejpam-5928	385	46	µ	µ	NOUN
ejpam-5928	385	47	)	)	PUNCT
ejpam-5928	385	48	˜̃∩	˜̃∩	ADV
ejpam-5928	385	49	(	(	PUNCT
ejpam-5928	385	50	ζ̈1	ζ̈1	ADJ
ejpam-5928	385	51	,	,	PUNCT
ejpam-5928	385	52	λ̈1	λ̈1	PROPN
ejpam-5928	385	53	,	,	PUNCT
ejpam-5928	385	54	µ	µ	NOUN
ejpam-5928	385	55	)	)	PUNCT
ejpam-5928	385	56	)	)	PUNCT
ejpam-5928	385	57	˜̃∩	˜̃∩	ADV
ejpam-5928	385	58	(	(	PUNCT
ejpam-5928	385	59	˜̃mcl(ζ̈	˜̃mcl(ζ̈	PROPN
ejpam-5928	385	60	,	,	PUNCT
ejpam-5928	385	61	λ̈	λ̈	NOUN
ejpam-5928	385	62	,	,	PUNCT
ejpam-5928	385	63	µ	µ	NOUN
ejpam-5928	385	64	)	)	PUNCT
ejpam-5928	385	65	˜̃∩	˜̃∩	ADV
ejpam-5928	385	66	˜̃mcl(ζ̈2	˜̃mcl(ζ̈2	SYM
ejpam-5928	385	67	,	,	PUNCT
ejpam-5928	385	68	λ̈2	λ̈2	NOUN
ejpam-5928	385	69	,	,	PUNCT
ejpam-5928	385	70	µ	µ	NOUN
ejpam-5928	385	71	)	)	PUNCT
ejpam-5928	385	72	)	)	PUNCT
ejpam-5928	386	1	=	=	SYM
ejpam-5928	386	2	(	(	PUNCT
ejpam-5928	386	3	(	(	PUNCT
ejpam-5928	386	4	ζ̈	ζ̈	NOUN
ejpam-5928	386	5	,	,	PUNCT
ejpam-5928	386	6	λ̈	λ̈	NOUN
ejpam-5928	386	7	,	,	PUNCT
ejpam-5928	386	8	µ	µ	NOUN
ejpam-5928	386	9	)	)	PUNCT
ejpam-5928	386	10	˜̃∩	˜̃∩	ADV
ejpam-5928	386	11	˜̃mcl(ζ̈	˜̃mcl(ζ̈	PROPN
ejpam-5928	386	12	,	,	PUNCT
ejpam-5928	386	13	λ̈	λ̈	NOUN
ejpam-5928	386	14	,	,	PUNCT
ejpam-5928	386	15	µ	µ	NOUN
ejpam-5928	386	16	)	)	PUNCT
ejpam-5928	386	17	)	)	PUNCT
ejpam-5928	386	18	˜̃∩	˜̃∩	ADV
ejpam-5928	386	19	(	(	PUNCT
ejpam-5928	386	20	(	(	PUNCT
ejpam-5928	386	21	ζ̈1	ζ̈1	ADJ
ejpam-5928	386	22	,	,	PUNCT
ejpam-5928	386	23	λ̈1	λ̈1	PROPN
ejpam-5928	386	24	,	,	PUNCT
ejpam-5928	386	25	µ	µ	NOUN
ejpam-5928	386	26	)	)	PUNCT
ejpam-5928	386	27	˜̃∩	˜̃∩	ADV
ejpam-5928	386	28	˜̃mcl(ζ̈2	˜̃mcl(ζ̈2	SYM
ejpam-5928	386	29	,	,	PUNCT
ejpam-5928	386	30	λ̈2	λ̈2	NOUN
ejpam-5928	386	31	,	,	PUNCT
ejpam-5928	386	32	µ	µ	NOUN
ejpam-5928	386	33	)	)	PUNCT
ejpam-5928	386	34	)	)	PUNCT
ejpam-5928	386	35	=	=	SYM
ejpam-5928	386	36	(	(	PUNCT
ejpam-5928	386	37	ζ̈	ζ̈	PROPN
ejpam-5928	386	38	,	,	PUNCT
ejpam-5928	386	39	λ̈	λ̈	NOUN
ejpam-5928	386	40	,	,	PUNCT
ejpam-5928	386	41	µ	µ	NOUN
ejpam-5928	386	42	)	)	PUNCT
ejpam-5928	386	43	˜̃∩	˜̃∩	ADV
ejpam-5928	386	44	(	(	PUNCT
ejpam-5928	386	45	φ	φ	PROPN
ejpam-5928	386	46	,	,	PUNCT
ejpam-5928	386	47	λ̈	λ̈	PROPN
ejpam-5928	386	48	,	,	PUNCT
ejpam-5928	386	49	µ	µ	NOUN
ejpam-5928	386	50	)	)	PUNCT
ejpam-5928	386	51	=	=	SYM
ejpam-5928	386	52	(	(	PUNCT
ejpam-5928	386	53	φ	φ	PROPN
ejpam-5928	386	54	,	,	PUNCT
ejpam-5928	386	55	λ̈	λ̈	PROPN
ejpam-5928	386	56	,	,	PUNCT
ejpam-5928	386	57	µ	µ	NOUN
ejpam-5928	386	58	)	)	PUNCT
ejpam-5928	386	59	.	.	PUNCT
ejpam-5928	387	1	similarly	similarly	ADV
ejpam-5928	387	2	,	,	PUNCT
ejpam-5928	387	3	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	387	4	(	(	PUNCT
ejpam-5928	387	5	(	(	PUNCT
ejpam-5928	387	6	ζ̈	ζ̈	NOUN
ejpam-5928	387	7	,	,	PUNCT
ejpam-5928	387	8	λ̈	λ̈	NOUN
ejpam-5928	387	9	,	,	PUNCT
ejpam-5928	387	10	µ	µ	NOUN
ejpam-5928	387	11	)	)	PUNCT
ejpam-5928	387	12	˜̃∩	˜̃∩	ADV
ejpam-5928	387	13	(	(	PUNCT
ejpam-5928	387	14	ζ̈1	ζ̈1	ADJ
ejpam-5928	387	15	,	,	PUNCT
ejpam-5928	387	16	λ̈1	λ̈1	PROPN
ejpam-5928	387	17	,	,	PUNCT
ejpam-5928	387	18	µ	µ	NOUN
ejpam-5928	387	19	)	)	PUNCT
ejpam-5928	387	20	)	)	PUNCT
ejpam-5928	387	21	˜̃∩	˜̃∩	ADV
ejpam-5928	387	22	(	(	PUNCT
ejpam-5928	387	23	(	(	PUNCT
ejpam-5928	387	24	ζ̈	ζ̈	NOUN
ejpam-5928	387	25	,	,	PUNCT
ejpam-5928	387	26	λ̈	λ̈	NOUN
ejpam-5928	387	27	,	,	PUNCT
ejpam-5928	387	28	µ	µ	NOUN
ejpam-5928	387	29	)	)	PUNCT
ejpam-5928	387	30	˜̃∩	˜̃∩	ADV
ejpam-5928	387	31	(	(	PUNCT
ejpam-5928	387	32	ζ̈2	ζ̈2	PROPN
ejpam-5928	387	33	,	,	PUNCT
ejpam-5928	387	34	λ̈2	λ̈2	NOUN
ejpam-5928	387	35	,	,	PUNCT
ejpam-5928	387	36	µ	µ	NOUN
ejpam-5928	387	37	)	)	PUNCT
ejpam-5928	387	38	)	)	PUNCT
ejpam-5928	388	1	=	=	SYM
ejpam-5928	388	2	(	(	PUNCT
ejpam-5928	388	3	φ	φ	PROPN
ejpam-5928	388	4	,	,	PUNCT
ejpam-5928	388	5	λ̈	λ̈	PROPN
ejpam-5928	388	6	,	,	PUNCT
ejpam-5928	388	7	µ	µ	NOUN
ejpam-5928	388	8	)	)	PUNCT
ejpam-5928	388	9	.	.	PUNCT
ejpam-5928	389	1	therefore	therefore	ADV
ejpam-5928	389	2	,	,	PUNCT
ejpam-5928	389	3	(	(	PUNCT
ejpam-5928	389	4	ζ̈	ζ̈	NOUN
ejpam-5928	389	5	,	,	PUNCT
ejpam-5928	389	6	λ̈	λ̈	NOUN
ejpam-5928	389	7	,	,	PUNCT
ejpam-5928	389	8	µ	µ	NOUN
ejpam-5928	389	9	)	)	PUNCT
ejpam-5928	389	10	˜̃∩	˜̃∩	ADV
ejpam-5928	389	11	(	(	PUNCT
ejpam-5928	389	12	ζ̈1	ζ̈1	ADJ
ejpam-5928	389	13	,	,	PUNCT
ejpam-5928	389	14	λ̈1	λ̈1	PROPN
ejpam-5928	389	15	,	,	PUNCT
ejpam-5928	389	16	µ	µ	NOUN
ejpam-5928	389	17	)	)	PUNCT
ejpam-5928	389	18	and	and	CCONJ
ejpam-5928	389	19	(	(	PUNCT
ejpam-5928	389	20	ζ̈	ζ̈	NOUN
ejpam-5928	389	21	,	,	PUNCT
ejpam-5928	389	22	λ̈	λ̈	NOUN
ejpam-5928	389	23	,	,	PUNCT
ejpam-5928	389	24	µ	µ	NOUN
ejpam-5928	389	25	)	)	PUNCT
ejpam-5928	389	26	˜̃∩	˜̃∩	ADV
ejpam-5928	389	27	(	(	PUNCT
ejpam-5928	389	28	ζ̈2	ζ̈2	PROPN
ejpam-5928	389	29	,	,	PUNCT
ejpam-5928	389	30	λ̈2	λ̈2	NOUN
ejpam-5928	389	31	,	,	PUNCT
ejpam-5928	389	32	µ	µ	NOUN
ejpam-5928	389	33	)	)	PUNCT
ejpam-5928	389	34	are	be	AUX
ejpam-5928	389	35	˜̃m	˜̃m	ADV
ejpam-5928	389	36	-	-	PUNCT
ejpam-5928	389	37	separated	separate	VERB
ejpam-5928	389	38	bsss	bsss	NOUN
ejpam-5928	389	39	.	.	PUNCT
ejpam-5928	390	1	thus	thus	ADV
ejpam-5928	390	2	,	,	PUNCT
ejpam-5928	390	3	(	(	PUNCT
ejpam-5928	390	4	ζ̈	ζ̈	NOUN
ejpam-5928	390	5	,	,	PUNCT
ejpam-5928	390	6	λ̈	λ̈	NOUN
ejpam-5928	390	7	,	,	PUNCT
ejpam-5928	390	8	µ	µ	NOUN
ejpam-5928	390	9	)	)	PUNCT
ejpam-5928	390	10	can	can	AUX
ejpam-5928	390	11	be	be	AUX
ejpam-5928	390	12	expressed	express	VERB
ejpam-5928	390	13	as	as	ADP
ejpam-5928	390	14	bs	bs	PROPN
ejpam-5928	390	15	union	union	NOUN
ejpam-5928	390	16	of	of	ADP
ejpam-5928	390	17	a	a	DET
ejpam-5928	390	18	pair	pair	NOUN
ejpam-5928	390	19	of	of	ADP
ejpam-5928	390	20	˜̃m	˜̃m	ADV
ejpam-5928	390	21	-	-	PUNCT
ejpam-5928	390	22	separated	separate	VERB
ejpam-5928	390	23	bsss	bsss	NOUN
ejpam-5928	390	24	.	.	PUNCT
ejpam-5928	391	1	so	so	ADV
ejpam-5928	391	2	,	,	PUNCT
ejpam-5928	391	3	(	(	PUNCT
ejpam-5928	391	4	ζ̈	ζ̈	NOUN
ejpam-5928	391	5	,	,	PUNCT
ejpam-5928	391	6	λ̈	λ̈	NOUN
ejpam-5928	391	7	,	,	PUNCT
ejpam-5928	391	8	µ	µ	NOUN
ejpam-5928	391	9	)	)	PUNCT
ejpam-5928	391	10	is	be	AUX
ejpam-5928	391	11	a	a	DET
ejpam-5928	391	12	bs	bs	NOUN
ejpam-5928	391	13	˜̃m	˜̃m	ADV
ejpam-5928	391	14	-	-	PUNCT
ejpam-5928	391	15	disconnected	disconnected	ADJ
ejpam-5928	391	16	.	.	PUNCT
ejpam-5928	392	1	which	which	PRON
ejpam-5928	392	2	is	be	AUX
ejpam-5928	392	3	contradiction	contradiction	NOUN
ejpam-5928	392	4	.	.	PUNCT
ejpam-5928	393	1	hence	hence	ADV
ejpam-5928	393	2	,	,	PUNCT
ejpam-5928	393	3	at	at	ADV
ejpam-5928	393	4	least	least	ADJ
ejpam-5928	393	5	one	one	NUM
ejpam-5928	393	6	of	of	ADP
ejpam-5928	393	7	the	the	DET
ejpam-5928	393	8	bsss	bsss	NOUN
ejpam-5928	393	9	(	(	PUNCT
ejpam-5928	393	10	ζ̈	ζ̈	PROPN
ejpam-5928	393	11	,	,	PUNCT
ejpam-5928	393	12	λ̈	λ̈	NOUN
ejpam-5928	393	13	,	,	PUNCT
ejpam-5928	393	14	µ	µ	NOUN
ejpam-5928	393	15	)	)	PUNCT
ejpam-5928	393	16	˜̃∩	˜̃∩	ADV
ejpam-5928	393	17	(	(	PUNCT
ejpam-5928	393	18	ζ̈1	ζ̈1	ADJ
ejpam-5928	393	19	,	,	PUNCT
ejpam-5928	393	20	λ̈1	λ̈1	PROPN
ejpam-5928	393	21	,	,	PUNCT
ejpam-5928	393	22	µ	µ	NOUN
ejpam-5928	393	23	)	)	PUNCT
ejpam-5928	393	24	and	and	CCONJ
ejpam-5928	393	25	(	(	PUNCT
ejpam-5928	393	26	ζ̈	ζ̈	NOUN
ejpam-5928	393	27	,	,	PUNCT
ejpam-5928	393	28	λ̈	λ̈	NOUN
ejpam-5928	393	29	,	,	PUNCT
ejpam-5928	393	30	µ	µ	NOUN
ejpam-5928	393	31	)	)	PUNCT
ejpam-5928	393	32	˜̃∩	˜̃∩	ADV
ejpam-5928	393	33	(	(	PUNCT
ejpam-5928	393	34	ζ̈2	ζ̈2	PROPN
ejpam-5928	393	35	,	,	PUNCT
ejpam-5928	393	36	λ̈2	λ̈2	NOUN
ejpam-5928	393	37	,	,	PUNCT
ejpam-5928	393	38	µ	µ	NOUN
ejpam-5928	393	39	)	)	PUNCT
ejpam-5928	393	40	is	be	AUX
ejpam-5928	393	41	null	null	ADJ
ejpam-5928	393	42	bss	bss	NOUN
ejpam-5928	393	43	.	.	PUNCT
ejpam-5928	394	1	now	now	ADV
ejpam-5928	394	2	,	,	PUNCT
ejpam-5928	394	3	if	if	SCONJ
ejpam-5928	394	4	(	(	PUNCT
ejpam-5928	394	5	ζ̈	ζ̈	NOUN
ejpam-5928	394	6	,	,	PUNCT
ejpam-5928	394	7	λ̈	λ̈	NOUN
ejpam-5928	394	8	,	,	PUNCT
ejpam-5928	394	9	µ	µ	NOUN
ejpam-5928	394	10	)	)	PUNCT
ejpam-5928	394	11	˜̃∩	˜̃∩	ADV
ejpam-5928	394	12	(	(	PUNCT
ejpam-5928	394	13	ζ̈1	ζ̈1	ADJ
ejpam-5928	394	14	,	,	PUNCT
ejpam-5928	394	15	λ̈1	λ̈1	PROPN
ejpam-5928	394	16	,	,	PUNCT
ejpam-5928	394	17	µ	µ	NOUN
ejpam-5928	394	18	)	)	PUNCT
ejpam-5928	394	19	=	=	SYM
ejpam-5928	394	20	(	(	PUNCT
ejpam-5928	394	21	φ	φ	PROPN
ejpam-5928	394	22	,	,	PUNCT
ejpam-5928	394	23	λ̈	λ̈	PROPN
ejpam-5928	394	24	,	,	PUNCT
ejpam-5928	394	25	µ	µ	NOUN
ejpam-5928	394	26	)	)	PUNCT
ejpam-5928	394	27	,	,	PUNCT
ejpam-5928	394	28	then	then	ADV
ejpam-5928	394	29	(	(	PUNCT
ejpam-5928	394	30	ζ̈	ζ̈	NOUN
ejpam-5928	394	31	,	,	PUNCT
ejpam-5928	394	32	λ̈	λ̈	NOUN
ejpam-5928	394	33	,	,	PUNCT
ejpam-5928	394	34	µ	µ	NOUN
ejpam-5928	394	35	)	)	PUNCT
ejpam-5928	394	36	=	=	SYM
ejpam-5928	394	37	(	(	PUNCT
ejpam-5928	394	38	ζ̈	ζ̈	PROPN
ejpam-5928	394	39	,	,	PUNCT
ejpam-5928	394	40	λ̈	λ̈	NOUN
ejpam-5928	394	41	,	,	PUNCT
ejpam-5928	394	42	µ	µ	NOUN
ejpam-5928	394	43	)	)	PUNCT
ejpam-5928	394	44	˜̃∩	˜̃∩	ADV
ejpam-5928	394	45	(	(	PUNCT
ejpam-5928	394	46	ζ̈2	ζ̈2	PROPN
ejpam-5928	394	47	,	,	PUNCT
ejpam-5928	394	48	λ̈2	λ̈2	NOUN
ejpam-5928	394	49	,	,	PUNCT
ejpam-5928	394	50	µ	µ	NOUN
ejpam-5928	394	51	)	)	PUNCT
ejpam-5928	394	52	which	which	PRON
ejpam-5928	394	53	implies	imply	VERB
ejpam-5928	394	54	that	that	SCONJ
ejpam-5928	394	55	(	(	PUNCT
ejpam-5928	394	56	ζ̈	ζ̈	NOUN
ejpam-5928	394	57	,	,	PUNCT
ejpam-5928	394	58	λ̈	λ̈	NOUN
ejpam-5928	394	59	,	,	PUNCT
ejpam-5928	394	60	µ	µ	NOUN
ejpam-5928	394	61	)	)	PUNCT
ejpam-5928	394	62	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	394	63	(	(	PUNCT
ejpam-5928	394	64	ζ̈2	ζ̈2	PROPN
ejpam-5928	394	65	,	,	PUNCT
ejpam-5928	394	66	λ̈2	λ̈2	NOUN
ejpam-5928	394	67	,	,	PUNCT
ejpam-5928	394	68	µ	µ	NOUN
ejpam-5928	394	69	)	)	PUNCT
ejpam-5928	394	70	.	.	PUNCT
ejpam-5928	395	1	if	if	SCONJ
ejpam-5928	395	2	(	(	PUNCT
ejpam-5928	395	3	ζ̈	ζ̈	NOUN
ejpam-5928	395	4	,	,	PUNCT
ejpam-5928	395	5	λ̈	λ̈	PRON
ejpam-5928	395	6	,	,	PUNCT
ejpam-5928	395	7	µ)˜̃∩	µ)˜̃∩	CCONJ
ejpam-5928	395	8	(	(	PUNCT
ejpam-5928	395	9	ζ̈2	ζ̈2	PROPN
ejpam-5928	395	10	,	,	PUNCT
ejpam-5928	395	11	λ̈2	λ̈2	NOUN
ejpam-5928	395	12	,	,	PUNCT
ejpam-5928	395	13	µ	µ	NOUN
ejpam-5928	395	14	)	)	PUNCT
ejpam-5928	395	15	=	=	SYM
ejpam-5928	395	16	(	(	PUNCT
ejpam-5928	395	17	φ	φ	PROPN
ejpam-5928	395	18	,	,	PUNCT
ejpam-5928	395	19	λ̈	λ̈	PROPN
ejpam-5928	395	20	,	,	PUNCT
ejpam-5928	395	21	µ	µ	NOUN
ejpam-5928	395	22	)	)	PUNCT
ejpam-5928	395	23	,	,	PUNCT
ejpam-5928	395	24	then	then	ADV
ejpam-5928	395	25	(	(	PUNCT
ejpam-5928	395	26	ζ̈	ζ̈	NOUN
ejpam-5928	395	27	,	,	PUNCT
ejpam-5928	395	28	λ̈	λ̈	NOUN
ejpam-5928	395	29	,	,	PUNCT
ejpam-5928	395	30	µ	µ	NOUN
ejpam-5928	395	31	)	)	PUNCT
ejpam-5928	395	32	=	=	SYM
ejpam-5928	395	33	(	(	PUNCT
ejpam-5928	395	34	ζ̈	ζ̈	PROPN
ejpam-5928	395	35	,	,	PUNCT
ejpam-5928	395	36	λ̈	λ̈	NOUN
ejpam-5928	395	37	,	,	PUNCT
ejpam-5928	395	38	µ	µ	NOUN
ejpam-5928	395	39	)	)	PUNCT
ejpam-5928	395	40	˜̃∩	˜̃∩	ADV
ejpam-5928	395	41	(	(	PUNCT
ejpam-5928	395	42	ζ̈1	ζ̈1	ADJ
ejpam-5928	395	43	,	,	PUNCT
ejpam-5928	395	44	λ̈1	λ̈1	PROPN
ejpam-5928	395	45	,	,	PUNCT
ejpam-5928	395	46	µ	µ	NOUN
ejpam-5928	395	47	)	)	PUNCT
ejpam-5928	395	48	which	which	PRON
ejpam-5928	395	49	implies	imply	VERB
ejpam-5928	395	50	that	that	SCONJ
ejpam-5928	395	51	(	(	PUNCT
ejpam-5928	395	52	ζ̈	ζ̈	NOUN
ejpam-5928	395	53	,	,	PUNCT
ejpam-5928	395	54	λ̈	λ̈	NOUN
ejpam-5928	395	55	,	,	PUNCT
ejpam-5928	395	56	µ)˜̃⊆	µ)˜̃⊆	PROPN
ejpam-5928	395	57	(	(	PUNCT
ejpam-5928	395	58	ζ̈1	ζ̈1	ADJ
ejpam-5928	395	59	,	,	PUNCT
ejpam-5928	395	60	λ̈1	λ̈1	PROPN
ejpam-5928	395	61	,	,	PUNCT
ejpam-5928	395	62	µ	µ	NOUN
ejpam-5928	395	63	)	)	PUNCT
ejpam-5928	395	64	.	.	PUNCT
ejpam-5928	396	1	therefore	therefore	ADV
ejpam-5928	396	2	,	,	PUNCT
ejpam-5928	396	3	either	either	CCONJ
ejpam-5928	396	4	(	(	PUNCT
ejpam-5928	396	5	ζ̈	ζ̈	NOUN
ejpam-5928	396	6	,	,	PUNCT
ejpam-5928	396	7	λ̈	λ̈	NOUN
ejpam-5928	396	8	,	,	PUNCT
ejpam-5928	396	9	µ	µ	NOUN
ejpam-5928	396	10	)	)	PUNCT
ejpam-5928	396	11	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	396	12	(	(	PUNCT
ejpam-5928	396	13	ζ̈1	ζ̈1	ADJ
ejpam-5928	396	14	,	,	PUNCT
ejpam-5928	396	15	λ̈1	λ̈1	PROPN
ejpam-5928	396	16	,	,	PUNCT
ejpam-5928	396	17	µ	µ	NOUN
ejpam-5928	396	18	)	)	PUNCT
ejpam-5928	396	19	or	or	CCONJ
ejpam-5928	396	20	(	(	PUNCT
ejpam-5928	396	21	ζ̈	ζ̈	NOUN
ejpam-5928	396	22	,	,	PUNCT
ejpam-5928	396	23	λ̈	λ̈	NOUN
ejpam-5928	396	24	,	,	PUNCT
ejpam-5928	396	25	µ	µ	NOUN
ejpam-5928	396	26	)	)	PUNCT
ejpam-5928	396	27	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	396	28	(	(	PUNCT
ejpam-5928	396	29	ζ̈2	ζ̈2	PROPN
ejpam-5928	396	30	,	,	PUNCT
ejpam-5928	396	31	λ̈2	λ̈2	NOUN
ejpam-5928	396	32	,	,	PUNCT
ejpam-5928	396	33	µ	µ	NOUN
ejpam-5928	396	34	)	)	PUNCT
ejpam-5928	396	35	.	.	PUNCT
ejpam-5928	397	1	proposition	proposition	NOUN
ejpam-5928	397	2	8	8	NUM
ejpam-5928	397	3	.	.	PUNCT
ejpam-5928	398	1	let	let	AUX
ejpam-5928	398	2	(	(	PUNCT
ejpam-5928	398	3	ζ̈	ζ̈	NOUN
ejpam-5928	398	4	,	,	PUNCT
ejpam-5928	398	5	λ̈	λ̈	NOUN
ejpam-5928	398	6	,	,	PUNCT
ejpam-5928	398	7	µ	µ	NOUN
ejpam-5928	398	8	)	)	PUNCT
ejpam-5928	398	9	be	be	VERB
ejpam-5928	398	10	bs	bs	ADJ
ejpam-5928	398	11	˜̃m	˜̃m	ADV
ejpam-5928	398	12	-	-	PUNCT
ejpam-5928	398	13	connected	connect	VERB
ejpam-5928	398	14	and	and	CCONJ
ejpam-5928	398	15	(	(	PUNCT
ejpam-5928	398	16	ξ	ξ	PROPN
ejpam-5928	398	17	,	,	PUNCT
ejpam-5928	398	18	η	η	PROPN
ejpam-5928	398	19	,	,	PUNCT
ejpam-5928	398	20	µ	µ	NOUN
ejpam-5928	398	21	)	)	PUNCT
ejpam-5928	398	22	˜̃∈	˜̃∈	PROPN
ejpam-5928	398	23	bss(π	bss(π	PROPN
ejpam-5928	398	24	)	)	PUNCT
ejpam-5928	399	1	s.	s.	PROPN
ejpam-5928	399	2	t.	t.	PROPN
ejpam-5928	399	3	(	(	PUNCT
ejpam-5928	399	4	ζ̈	ζ̈	PROPN
ejpam-5928	399	5	,	,	PUNCT
ejpam-5928	399	6	λ̈	λ̈	NOUN
ejpam-5928	399	7	,	,	PUNCT
ejpam-5928	399	8	µ	µ	NOUN
ejpam-5928	399	9	)	)	PUNCT
ejpam-5928	399	10	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	399	11	(	(	PUNCT
ejpam-5928	399	12	ξ	ξ	PROPN
ejpam-5928	399	13	,	,	PUNCT
ejpam-5928	399	14	η	η	PROPN
ejpam-5928	399	15	,	,	PUNCT
ejpam-5928	399	16	µ	µ	NOUN
ejpam-5928	399	17	)	)	PUNCT
ejpam-5928	399	18	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	399	19	˜̃mcl(ζ̈	˜̃mcl(ζ̈	PROPN
ejpam-5928	399	20	,	,	PUNCT
ejpam-5928	399	21	λ̈	λ̈	NOUN
ejpam-5928	399	22	,	,	PUNCT
ejpam-5928	399	23	µ	µ	NOUN
ejpam-5928	399	24	)	)	PUNCT
ejpam-5928	399	25	.	.	PUNCT
ejpam-5928	400	1	then	then	ADV
ejpam-5928	400	2	(	(	PUNCT
ejpam-5928	400	3	ξ	ξ	PROPN
ejpam-5928	400	4	,	,	PUNCT
ejpam-5928	400	5	η	η	PROPN
ejpam-5928	400	6	,	,	PUNCT
ejpam-5928	400	7	µ	µ	NOUN
ejpam-5928	400	8	)	)	PUNCT
ejpam-5928	400	9	is	be	AUX
ejpam-5928	400	10	bs	bs	ADJ
ejpam-5928	400	11	˜̃m	˜̃m	ADV
ejpam-5928	400	12	-	-	PUNCT
ejpam-5928	400	13	connected	connect	VERB
ejpam-5928	400	14	.	.	PUNCT
ejpam-5928	401	1	in	in	ADP
ejpam-5928	401	2	particular	particular	ADJ
ejpam-5928	401	3	,	,	PUNCT
ejpam-5928	401	4	˜̃mcl(ζ̈	˜̃mcl(ζ̈	PROPN
ejpam-5928	401	5	,	,	PUNCT
ejpam-5928	401	6	λ̈	λ̈	NOUN
ejpam-5928	401	7	,	,	PUNCT
ejpam-5928	401	8	µ	µ	NOUN
ejpam-5928	401	9	)	)	PUNCT
ejpam-5928	401	10	is	be	AUX
ejpam-5928	401	11	also	also	ADV
ejpam-5928	401	12	bs	bs	ADP
ejpam-5928	401	13	˜̃m	˜̃m	ADV
ejpam-5928	401	14	-	-	PUNCT
ejpam-5928	401	15	connected	connect	VERB
ejpam-5928	401	16	.	.	PUNCT
ejpam-5928	402	1	proof	proof	NOUN
ejpam-5928	402	2	.	.	PUNCT
ejpam-5928	403	1	suppose	suppose	VERB
ejpam-5928	403	2	that	that	SCONJ
ejpam-5928	403	3	(	(	PUNCT
ejpam-5928	403	4	ξ	ξ	PROPN
ejpam-5928	403	5	,	,	PUNCT
ejpam-5928	403	6	η	η	PROPN
ejpam-5928	403	7	,	,	PUNCT
ejpam-5928	403	8	µ	µ	NOUN
ejpam-5928	403	9	)	)	PUNCT
ejpam-5928	403	10	is	be	AUX
ejpam-5928	403	11	bs	bs	ADJ
ejpam-5928	403	12	˜̃m	˜̃m	ADV
ejpam-5928	403	13	-	-	PUNCT
ejpam-5928	403	14	disconnected	disconnected	ADJ
ejpam-5928	403	15	.	.	PUNCT
ejpam-5928	404	1	then	then	ADV
ejpam-5928	404	2	,	,	PUNCT
ejpam-5928	404	3	there	there	PRON
ejpam-5928	404	4	exist	exist	VERB
ejpam-5928	404	5	nonnull	nonnull	NOUN
ejpam-5928	404	6	bsss	bsss	NOUN
ejpam-5928	404	7	(	(	PUNCT
ejpam-5928	404	8	ζ̈1	ζ̈1	ADJ
ejpam-5928	404	9	,	,	PUNCT
ejpam-5928	404	10	λ̈1	λ̈1	PROPN
ejpam-5928	404	11	,	,	PUNCT
ejpam-5928	404	12	µ	µ	NOUN
ejpam-5928	404	13	)	)	PUNCT
ejpam-5928	404	14	and	and	CCONJ
ejpam-5928	404	15	(	(	PUNCT
ejpam-5928	404	16	ζ̈2	ζ̈2	PROPN
ejpam-5928	404	17	,	,	PUNCT
ejpam-5928	404	18	λ̈2	λ̈2	NOUN
ejpam-5928	404	19	,	,	PUNCT
ejpam-5928	404	20	µ	µ	NOUN
ejpam-5928	404	21	)	)	PUNCT
ejpam-5928	404	22	in	in	ADP
ejpam-5928	404	23	which	which	PRON
ejpam-5928	404	24	(	(	PUNCT
ejpam-5928	404	25	ζ̈1	ζ̈1	ADJ
ejpam-5928	404	26	,	,	PUNCT
ejpam-5928	404	27	λ̈1	λ̈1	PROPN
ejpam-5928	404	28	,	,	PUNCT
ejpam-5928	404	29	µ	µ	NOUN
ejpam-5928	404	30	)	)	PUNCT
ejpam-5928	404	31	˜̃∩	˜̃∩	ADV
ejpam-5928	404	32	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	404	33	(	(	PUNCT
ejpam-5928	404	34	ζ̈2	ζ̈2	PROPN
ejpam-5928	404	35	,	,	PUNCT
ejpam-5928	404	36	λ̈2	λ̈2	NOUN
ejpam-5928	404	37	,	,	PUNCT
ejpam-5928	404	38	µ	µ	NOUN
ejpam-5928	404	39	)	)	PUNCT
ejpam-5928	404	40	=	=	SYM
ejpam-5928	404	41	˜̃mcl	˜̃mcl	PROPN
ejpam-5928	404	42	(	(	PUNCT
ejpam-5928	404	43	ζ̈1	ζ̈1	ADJ
ejpam-5928	404	44	,	,	PUNCT
ejpam-5928	404	45	λ̈1	λ̈1	PROPN
ejpam-5928	404	46	,	,	PUNCT
ejpam-5928	404	47	µ	µ	NOUN
ejpam-5928	404	48	)	)	PUNCT
ejpam-5928	404	49	˜̃∩	˜̃∩	ADV
ejpam-5928	404	50	(	(	PUNCT
ejpam-5928	404	51	ζ̈2	ζ̈2	PROPN
ejpam-5928	404	52	,	,	PUNCT
ejpam-5928	404	53	λ̈2	λ̈2	NOUN
ejpam-5928	404	54	,	,	PUNCT
ejpam-5928	404	55	µ	µ	NOUN
ejpam-5928	404	56	)	)	PUNCT
ejpam-5928	404	57	=	=	SYM
ejpam-5928	404	58	(	(	PUNCT
ejpam-5928	404	59	φ	φ	PROPN
ejpam-5928	404	60	,	,	PUNCT
ejpam-5928	404	61	λ̈	λ̈	PROPN
ejpam-5928	404	62	,	,	PUNCT
ejpam-5928	404	63	µ	µ	NOUN
ejpam-5928	404	64	)	)	PUNCT
ejpam-5928	404	65	and	and	CCONJ
ejpam-5928	404	66	(	(	PUNCT
ejpam-5928	404	67	ξ	ξ	PROPN
ejpam-5928	404	68	,	,	PUNCT
ejpam-5928	404	69	η	η	PROPN
ejpam-5928	404	70	,	,	PUNCT
ejpam-5928	404	71	µ	µ	NOUN
ejpam-5928	404	72	)	)	PUNCT
ejpam-5928	404	73	=	=	SYM
ejpam-5928	404	74	(	(	PUNCT
ejpam-5928	404	75	ζ̈1	ζ̈1	ADJ
ejpam-5928	404	76	,	,	PUNCT
ejpam-5928	404	77	λ̈1	λ̈1	PROPN
ejpam-5928	404	78	,	,	PUNCT
ejpam-5928	404	79	µ	µ	NOUN
ejpam-5928	404	80	)	)	PUNCT
ejpam-5928	404	81	˜̃∪	˜̃∪	PROPN
ejpam-5928	404	82	(	(	PUNCT
ejpam-5928	404	83	ζ̈2	ζ̈2	PROPN
ejpam-5928	404	84	,	,	PUNCT
ejpam-5928	404	85	λ̈2	λ̈2	NOUN
ejpam-5928	404	86	,	,	PUNCT
ejpam-5928	404	87	µ	µ	NOUN
ejpam-5928	404	88	)	)	PUNCT
ejpam-5928	404	89	.	.	PUNCT
ejpam-5928	405	1	from	from	ADP
ejpam-5928	405	2	(	(	PUNCT
ejpam-5928	405	3	ζ̈	ζ̈	NOUN
ejpam-5928	405	4	,	,	PUNCT
ejpam-5928	405	5	λ̈	λ̈	NOUN
ejpam-5928	405	6	,	,	PUNCT
ejpam-5928	405	7	µ	µ	NOUN
ejpam-5928	405	8	)	)	PUNCT
ejpam-5928	405	9	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	405	10	(	(	PUNCT
ejpam-5928	405	11	ξ	ξ	PROPN
ejpam-5928	405	12	,	,	PUNCT
ejpam-5928	405	13	η	η	PROPN
ejpam-5928	405	14	,	,	PUNCT
ejpam-5928	405	15	µ	µ	NOUN
ejpam-5928	405	16	)	)	PUNCT
ejpam-5928	405	17	=	=	SYM
ejpam-5928	405	18	(	(	PUNCT
ejpam-5928	405	19	ζ̈1	ζ̈1	ADJ
ejpam-5928	405	20	,	,	PUNCT
ejpam-5928	405	21	λ̈1	λ̈1	PROPN
ejpam-5928	405	22	,	,	PUNCT
ejpam-5928	405	23	µ	µ	NOUN
ejpam-5928	405	24	)	)	PUNCT
ejpam-5928	405	25	˜̃∪	˜̃∪	PROPN
ejpam-5928	405	26	(	(	PUNCT
ejpam-5928	405	27	ζ̈2	ζ̈2	PROPN
ejpam-5928	405	28	,	,	PUNCT
ejpam-5928	405	29	λ̈2	λ̈2	NOUN
ejpam-5928	405	30	,	,	PUNCT
ejpam-5928	405	31	µ	µ	NOUN
ejpam-5928	405	32	)	)	PUNCT
ejpam-5928	405	33	,	,	PUNCT
ejpam-5928	405	34	it	it	PRON
ejpam-5928	405	35	follows	follow	VERB
ejpam-5928	405	36	from	from	ADP
ejpam-5928	405	37	proposition	proposition	NOUN
ejpam-5928	405	38	7	7	NUM
ejpam-5928	405	39	that	that	SCONJ
ejpam-5928	405	40	(	(	PUNCT
ejpam-5928	405	41	ζ̈	ζ̈	NOUN
ejpam-5928	405	42	,	,	PUNCT
ejpam-5928	405	43	λ̈	λ̈	NOUN
ejpam-5928	405	44	,	,	PUNCT
ejpam-5928	405	45	µ	µ	NOUN
ejpam-5928	405	46	)	)	PUNCT
ejpam-5928	405	47	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	405	48	(	(	PUNCT
ejpam-5928	405	49	ζ̈1	ζ̈1	ADJ
ejpam-5928	405	50	,	,	PUNCT
ejpam-5928	405	51	λ̈1	λ̈1	PROPN
ejpam-5928	405	52	,	,	PUNCT
ejpam-5928	405	53	µ	µ	NOUN
ejpam-5928	405	54	)	)	PUNCT
ejpam-5928	405	55	or	or	CCONJ
ejpam-5928	405	56	(	(	PUNCT
ejpam-5928	405	57	ζ̈	ζ̈	NOUN
ejpam-5928	405	58	,	,	PUNCT
ejpam-5928	405	59	λ̈	λ̈	NOUN
ejpam-5928	405	60	,	,	PUNCT
ejpam-5928	405	61	µ	µ	NOUN
ejpam-5928	405	62	)	)	PUNCT
ejpam-5928	405	63	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	405	64	(	(	PUNCT
ejpam-5928	405	65	ζ̈2	ζ̈2	PROPN
ejpam-5928	405	66	,	,	PUNCT
ejpam-5928	405	67	λ̈2	λ̈2	NOUN
ejpam-5928	405	68	,	,	PUNCT
ejpam-5928	405	69	µ	µ	NOUN
ejpam-5928	405	70	)	)	PUNCT
ejpam-5928	405	71	.	.	PUNCT
ejpam-5928	406	1	let	let	VERB
ejpam-5928	406	2	(	(	PUNCT
ejpam-5928	406	3	ζ̈	ζ̈	NOUN
ejpam-5928	406	4	,	,	PUNCT
ejpam-5928	406	5	λ̈	λ̈	NOUN
ejpam-5928	406	6	,	,	PUNCT
ejpam-5928	406	7	µ	µ	NOUN
ejpam-5928	406	8	)	)	PUNCT
ejpam-5928	406	9	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	406	10	(	(	PUNCT
ejpam-5928	406	11	ζ̈1	ζ̈1	ADJ
ejpam-5928	406	12	,	,	PUNCT
ejpam-5928	406	13	λ̈1	λ̈1	PROPN
ejpam-5928	406	14	,	,	PUNCT
ejpam-5928	406	15	µ	µ	NOUN
ejpam-5928	406	16	)	)	PUNCT
ejpam-5928	406	17	thus	thus	ADV
ejpam-5928	406	18	,	,	PUNCT
ejpam-5928	406	19	c˜̃m	c˜̃m	PROPN
ejpam-5928	406	20	˜̃mcl(ζ̈	˜̃mcl(ζ̈	PROPN
ejpam-5928	406	21	,	,	PUNCT
ejpam-5928	406	22	λ̈	λ̈	NOUN
ejpam-5928	406	23	,	,	PUNCT
ejpam-5928	406	24	µ)˜̃⊆	µ)˜̃⊆	NOUN
ejpam-5928	406	25	˜̃mcl(ζ̈1	˜̃mcl(ζ̈1	NOUN
ejpam-5928	406	26	,	,	PUNCT
ejpam-5928	406	27	λ̈1	λ̈1	NOUN
ejpam-5928	406	28	,	,	PUNCT
ejpam-5928	406	29	µ	µ	NOUN
ejpam-5928	406	30	)	)	PUNCT
ejpam-5928	406	31	then,˜̃mcl(ζ̈	then,˜̃mcl(ζ̈	PROPN
ejpam-5928	406	32	,	,	PUNCT
ejpam-5928	406	33	λ̈	λ̈	NOUN
ejpam-5928	406	34	,	,	PUNCT
ejpam-5928	406	35	µ	µ	NOUN
ejpam-5928	406	36	)	)	PUNCT
ejpam-5928	406	37	˜̃∩	˜̃∩	ADV
ejpam-5928	406	38	(	(	PUNCT
ejpam-5928	406	39	ζ̈2	ζ̈2	PROPN
ejpam-5928	406	40	,	,	PUNCT
ejpam-5928	406	41	λ̈2	λ̈2	NOUN
ejpam-5928	406	42	,	,	PUNCT
ejpam-5928	406	43	µ	µ	NOUN
ejpam-5928	406	44	)	)	PUNCT
ejpam-5928	406	45	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	406	46	˜̃mcl(ζ̈1	˜̃mcl(ζ̈1	NOUN
ejpam-5928	406	47	,	,	PUNCT
ejpam-5928	406	48	λ̈1	λ̈1	NOUN
ejpam-5928	406	49	,	,	PUNCT
ejpam-5928	406	50	µ	µ	NOUN
ejpam-5928	406	51	)	)	PUNCT
ejpam-5928	406	52	˜̃∩	˜̃∩	ADV
ejpam-5928	406	53	(	(	PUNCT
ejpam-5928	406	54	ζ̈2	ζ̈2	PROPN
ejpam-5928	406	55	,	,	PUNCT
ejpam-5928	406	56	λ̈2	λ̈2	NOUN
ejpam-5928	406	57	,	,	PUNCT
ejpam-5928	406	58	µ	µ	NOUN
ejpam-5928	406	59	)	)	PUNCT
ejpam-5928	406	60	=	=	SYM
ejpam-5928	406	61	(	(	PUNCT
ejpam-5928	406	62	φ	φ	PROPN
ejpam-5928	406	63	,	,	PUNCT
ejpam-5928	406	64	λ̈	λ̈	PROPN
ejpam-5928	406	65	,	,	PUNCT
ejpam-5928	406	66	µ	µ	NOUN
ejpam-5928	406	67	)	)	PUNCT
ejpam-5928	406	68	,	,	PUNCT
ejpam-5928	406	69	r.	r.	PROPN
ejpam-5928	406	70	a.	a.	PROPN
ejpam-5928	406	71	mohammed	mohammed	PROPN
ejpam-5928	406	72	/	/	SYM
ejpam-5928	406	73	eur	eur	PROPN
ejpam-5928	406	74	.	.	PUNCT
ejpam-5928	407	1	j.	j.	PROPN
ejpam-5928	407	2	pure	pure	PROPN
ejpam-5928	407	3	appl	appl	PROPN
ejpam-5928	407	4	.	.	PROPN
ejpam-5928	407	5	math	math	PROPN
ejpam-5928	407	6	,	,	PUNCT
ejpam-5928	407	7	18	18	NUM
ejpam-5928	407	8	(	(	PUNCT
ejpam-5928	407	9	2	2	NUM
ejpam-5928	407	10	)	)	PUNCT
ejpam-5928	407	11	(	(	PUNCT
ejpam-5928	407	12	2025	2025	NUM
ejpam-5928	407	13	)	)	PUNCT
ejpam-5928	407	14	,	,	PUNCT
ejpam-5928	407	15	5928	5928	NUM
ejpam-5928	407	16	16	16	NUM
ejpam-5928	407	17	of	of	ADP
ejpam-5928	407	18	26	26	NUM
ejpam-5928	407	19	but	but	CCONJ
ejpam-5928	407	20	(	(	PUNCT
ejpam-5928	407	21	φ	φ	PROPN
ejpam-5928	407	22	,	,	PUNCT
ejpam-5928	407	23	λ̈	λ̈	PROPN
ejpam-5928	407	24	,	,	PUNCT
ejpam-5928	407	25	µ	µ	NOUN
ejpam-5928	407	26	)	)	PUNCT
ejpam-5928	407	27	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	407	28	˜̃mcl(ζ̈	˜̃mcl(ζ̈	PROPN
ejpam-5928	407	29	,	,	PUNCT
ejpam-5928	407	30	λ̈	λ̈	NOUN
ejpam-5928	407	31	,	,	PUNCT
ejpam-5928	407	32	µ	µ	NOUN
ejpam-5928	407	33	)	)	PUNCT
ejpam-5928	407	34	˜̃∩	˜̃∩	ADV
ejpam-5928	407	35	(	(	PUNCT
ejpam-5928	407	36	ζ̈2	ζ̈2	PROPN
ejpam-5928	407	37	,	,	PUNCT
ejpam-5928	407	38	λ̈2	λ̈2	NOUN
ejpam-5928	407	39	,	,	PUNCT
ejpam-5928	407	40	µ	µ	NOUN
ejpam-5928	407	41	)	)	PUNCT
ejpam-5928	407	42	,	,	PUNCT
ejpam-5928	407	43	therefore,˜̃mcl(ζ̈	therefore,˜̃mcl(ζ̈	PROPN
ejpam-5928	407	44	,	,	PUNCT
ejpam-5928	407	45	λ̈	λ̈	NOUN
ejpam-5928	407	46	,	,	PUNCT
ejpam-5928	407	47	µ	µ	NOUN
ejpam-5928	407	48	)	)	PUNCT
ejpam-5928	407	49	˜̃∩	˜̃∩	ADV
ejpam-5928	407	50	(	(	PUNCT
ejpam-5928	407	51	ζ̈2	ζ̈2	PROPN
ejpam-5928	407	52	,	,	PUNCT
ejpam-5928	407	53	λ̈2	λ̈2	NOUN
ejpam-5928	407	54	,	,	PUNCT
ejpam-5928	407	55	µ	µ	NOUN
ejpam-5928	407	56	)	)	PUNCT
ejpam-5928	407	57	=	=	SYM
ejpam-5928	407	58	(	(	PUNCT
ejpam-5928	407	59	φ	φ	PROPN
ejpam-5928	407	60	,	,	PUNCT
ejpam-5928	407	61	λ̈	λ̈	PROPN
ejpam-5928	407	62	,	,	PUNCT
ejpam-5928	407	63	µ	µ	NOUN
ejpam-5928	407	64	)	)	PUNCT
ejpam-5928	407	65	.	.	PUNCT
ejpam-5928	408	1	so	so	ADV
ejpam-5928	408	2	,	,	PUNCT
ejpam-5928	408	3	(	(	PUNCT
ejpam-5928	408	4	ζ̈1	ζ̈1	ADJ
ejpam-5928	408	5	,	,	PUNCT
ejpam-5928	408	6	λ̈1	λ̈1	PROPN
ejpam-5928	408	7	,	,	PUNCT
ejpam-5928	408	8	µ	µ	NOUN
ejpam-5928	408	9	)	)	PUNCT
ejpam-5928	408	10	˜̃∪	˜̃∪	PROPN
ejpam-5928	408	11	(	(	PUNCT
ejpam-5928	408	12	ζ̈2	ζ̈2	PROPN
ejpam-5928	408	13	,	,	PUNCT
ejpam-5928	408	14	λ̈2	λ̈2	NOUN
ejpam-5928	408	15	,	,	PUNCT
ejpam-5928	408	16	µ	µ	NOUN
ejpam-5928	408	17	)	)	PUNCT
ejpam-5928	408	18	=	=	SYM
ejpam-5928	408	19	(	(	PUNCT
ejpam-5928	408	20	ξ	ξ	PROPN
ejpam-5928	408	21	,	,	PUNCT
ejpam-5928	408	22	η	η	PROPN
ejpam-5928	408	23	,	,	PUNCT
ejpam-5928	408	24	µ	µ	NOUN
ejpam-5928	408	25	)	)	PUNCT
ejpam-5928	408	26	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	408	27	˜̃mcl(ζ̈	˜̃mcl(ζ̈	PROPN
ejpam-5928	408	28	,	,	PUNCT
ejpam-5928	408	29	λ̈	λ̈	NOUN
ejpam-5928	408	30	,	,	PUNCT
ejpam-5928	408	31	µ	µ	NOUN
ejpam-5928	408	32	)	)	PUNCT
ejpam-5928	408	33	then	then	ADV
ejpam-5928	408	34	,	,	PUNCT
ejpam-5928	408	35	(	(	PUNCT
ejpam-5928	408	36	ζ̈2	ζ̈2	PROPN
ejpam-5928	408	37	,	,	PUNCT
ejpam-5928	408	38	λ̈2	λ̈2	NOUN
ejpam-5928	408	39	,	,	PUNCT
ejpam-5928	408	40	µ	µ	NOUN
ejpam-5928	408	41	)	)	PUNCT
ejpam-5928	408	42	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	408	43	(	(	PUNCT
ejpam-5928	408	44	ξ	ξ	PROPN
ejpam-5928	408	45	,	,	PUNCT
ejpam-5928	408	46	η	η	PROPN
ejpam-5928	408	47	,	,	PUNCT
ejpam-5928	408	48	µ	µ	NOUN
ejpam-5928	408	49	)	)	PUNCT
ejpam-5928	408	50	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	408	51	˜̃mcl(ζ̈	˜̃mcl(ζ̈	PROPN
ejpam-5928	408	52	,	,	PUNCT
ejpam-5928	408	53	λ̈	λ̈	NOUN
ejpam-5928	408	54	,	,	PUNCT
ejpam-5928	408	55	µ	µ	NOUN
ejpam-5928	408	56	)	)	PUNCT
ejpam-5928	408	57	implies	imply	VERB
ejpam-5928	408	58	that	that	SCONJ
ejpam-5928	408	59	˜̃mcl(ζ̈	˜̃mcl(ζ̈	NOUN
ejpam-5928	408	60	,	,	PUNCT
ejpam-5928	408	61	λ̈	λ̈	NOUN
ejpam-5928	408	62	,	,	PUNCT
ejpam-5928	408	63	µ	µ	NOUN
ejpam-5928	408	64	)	)	PUNCT
ejpam-5928	408	65	˜̃∩	˜̃∩	ADV
ejpam-5928	408	66	(	(	PUNCT
ejpam-5928	408	67	ζ̈2	ζ̈2	PROPN
ejpam-5928	408	68	,	,	PUNCT
ejpam-5928	408	69	λ̈2	λ̈2	NOUN
ejpam-5928	408	70	,	,	PUNCT
ejpam-5928	408	71	µ	µ	NOUN
ejpam-5928	408	72	)	)	PUNCT
ejpam-5928	408	73	=	=	PUNCT
ejpam-5928	408	74	(	(	PUNCT
ejpam-5928	408	75	ζ̈2	ζ̈2	PROPN
ejpam-5928	408	76	,	,	PUNCT
ejpam-5928	408	77	λ̈2	λ̈2	NOUN
ejpam-5928	408	78	,	,	PUNCT
ejpam-5928	408	79	µ	µ	NOUN
ejpam-5928	408	80	)	)	PUNCT
ejpam-5928	408	81	.	.	PUNCT
ejpam-5928	409	1	hence	hence	ADV
ejpam-5928	409	2	,	,	PUNCT
ejpam-5928	409	3	(	(	PUNCT
ejpam-5928	409	4	ζ̈2	ζ̈2	PROPN
ejpam-5928	409	5	,	,	PUNCT
ejpam-5928	409	6	λ̈2	λ̈2	NOUN
ejpam-5928	409	7	,	,	PUNCT
ejpam-5928	409	8	µ	µ	NOUN
ejpam-5928	409	9	)	)	PUNCT
ejpam-5928	409	10	=	=	SYM
ejpam-5928	409	11	(	(	PUNCT
ejpam-5928	409	12	φ	φ	PROPN
ejpam-5928	409	13	,	,	PUNCT
ejpam-5928	409	14	λ̈	λ̈	PROPN
ejpam-5928	409	15	,	,	PUNCT
ejpam-5928	409	16	µ	µ	NOUN
ejpam-5928	409	17	)	)	PUNCT
ejpam-5928	409	18	.	.	PUNCT
ejpam-5928	410	1	this	this	PRON
ejpam-5928	410	2	is	be	AUX
ejpam-5928	410	3	a	a	DET
ejpam-5928	410	4	contradiction	contradiction	NOUN
ejpam-5928	410	5	because	because	SCONJ
ejpam-5928	410	6	(	(	PUNCT
ejpam-5928	410	7	ζ̈2	ζ̈2	PROPN
ejpam-5928	410	8	,	,	PUNCT
ejpam-5928	410	9	λ̈2	λ̈2	NOUN
ejpam-5928	410	10	,	,	PUNCT
ejpam-5928	410	11	µ	µ	NOUN
ejpam-5928	410	12	)	)	PUNCT
ejpam-5928	410	13	is	be	AUX
ejpam-5928	410	14	nonnull	nonnull	NOUN
ejpam-5928	410	15	bss	bss	PROPN
ejpam-5928	410	16	.	.	PUNCT
ejpam-5928	411	1	therefore	therefore	ADV
ejpam-5928	411	2	,	,	PUNCT
ejpam-5928	411	3	(	(	PUNCT
ejpam-5928	411	4	ξ	ξ	X
ejpam-5928	411	5	,	,	PUNCT
ejpam-5928	411	6	η	η	PROPN
ejpam-5928	411	7	,	,	PUNCT
ejpam-5928	411	8	µ	µ	NOUN
ejpam-5928	411	9	)	)	PUNCT
ejpam-5928	411	10	is	be	AUX
ejpam-5928	411	11	bs	bs	ADJ
ejpam-5928	411	12	˜̃m	˜̃m	ADV
ejpam-5928	411	13	-	-	PUNCT
ejpam-5928	411	14	connected	connect	VERB
ejpam-5928	411	15	.	.	PUNCT
ejpam-5928	412	1	also	also	ADV
ejpam-5928	412	2	,	,	PUNCT
ejpam-5928	412	3	from	from	ADP
ejpam-5928	412	4	(	(	PUNCT
ejpam-5928	412	5	ζ̈	ζ̈	NOUN
ejpam-5928	412	6	,	,	PUNCT
ejpam-5928	412	7	λ̈	λ̈	NOUN
ejpam-5928	412	8	,	,	PUNCT
ejpam-5928	412	9	µ	µ	NOUN
ejpam-5928	412	10	)	)	PUNCT
ejpam-5928	412	11	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	412	12	(	(	PUNCT
ejpam-5928	412	13	ξ	ξ	PROPN
ejpam-5928	412	14	,	,	PUNCT
ejpam-5928	412	15	η	η	PROPN
ejpam-5928	412	16	,	,	PUNCT
ejpam-5928	412	17	µ	µ	NOUN
ejpam-5928	412	18	)	)	PUNCT
ejpam-5928	412	19	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	412	20	˜̃mcl(ζ̈	˜̃mcl(ζ̈	PROPN
ejpam-5928	412	21	,	,	PUNCT
ejpam-5928	412	22	λ̈	λ̈	NOUN
ejpam-5928	412	23	,	,	PUNCT
ejpam-5928	412	24	µ	µ	NOUN
ejpam-5928	412	25	)	)	PUNCT
ejpam-5928	412	26	,	,	PUNCT
ejpam-5928	412	27	implies	imply	VERB
ejpam-5928	412	28	that	that	SCONJ
ejpam-5928	412	29	˜̃mcl(ζ̈	˜̃mcl(ζ̈	NOUN
ejpam-5928	412	30	,	,	PUNCT
ejpam-5928	412	31	λ̈	λ̈	NOUN
ejpam-5928	412	32	,	,	PUNCT
ejpam-5928	412	33	µ	µ	NOUN
ejpam-5928	412	34	)	)	PUNCT
ejpam-5928	412	35	is	be	AUX
ejpam-5928	412	36	bs	bs	ADJ
ejpam-5928	412	37	˜̃m	˜̃m	ADV
ejpam-5928	412	38	-	-	PUNCT
ejpam-5928	412	39	connected	connect	VERB
ejpam-5928	412	40	.	.	PUNCT
ejpam-5928	413	1	proposition	proposition	NOUN
ejpam-5928	413	2	9	9	NUM
ejpam-5928	413	3	.	.	PUNCT
ejpam-5928	414	1	let	let	VERB
ejpam-5928	414	2	{	{	PUNCT
ejpam-5928	414	3	(	(	PUNCT
ejpam-5928	414	4	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	414	5	,	,	PUNCT
ejpam-5928	414	6	λ̈δ	λ̈δ	PROPN
ejpam-5928	414	7	,	,	PUNCT
ejpam-5928	414	8	µ	µ	NOUN
ejpam-5928	414	9	)	)	PUNCT
ejpam-5928	414	10	:	:	PUNCT
ejpam-5928	415	1	δ	δ	PROPN
ejpam-5928	415	2	∈	∈	PROPN
ejpam-5928	415	3	∆	∆	PROPN
ejpam-5928	415	4	}	}	PUNCT
ejpam-5928	415	5	be	be	AUX
ejpam-5928	415	6	the	the	DET
ejpam-5928	415	7	collection	collection	NOUN
ejpam-5928	415	8	of	of	ADP
ejpam-5928	415	9	bs	bs	PROPN
ejpam-5928	415	10	˜̃m	˜̃m	ADV
ejpam-5928	415	11	-	-	PUNCT
ejpam-5928	415	12	connected	connect	VERB
ejpam-5928	415	13	sets	set	NOUN
ejpam-5928	415	14	s.	s.	PROPN
ejpam-5928	415	15	t.˜̃⋂	t.˜̃⋂	PROPN
ejpam-5928	415	16	δ∈δ	δ∈δ	INTJ
ejpam-5928	415	17	(	(	PUNCT
ejpam-5928	415	18	ζ̈δ	ζ̈δ	NOUN
ejpam-5928	415	19	,	,	PUNCT
ejpam-5928	415	20	λ̈δ	λ̈δ	PROPN
ejpam-5928	415	21	,	,	PUNCT
ejpam-5928	415	22	µ	µ	NOUN
ejpam-5928	415	23	)	)	PUNCT
ejpam-5928	415	24	̸=	̸=	PROPN
ejpam-5928	415	25	(	(	PUNCT
ejpam-5928	415	26	φ	φ	PROPN
ejpam-5928	415	27	,	,	PUNCT
ejpam-5928	415	28	λ̈	λ̈	PROPN
ejpam-5928	415	29	,	,	PUNCT
ejpam-5928	415	30	µ	µ	NOUN
ejpam-5928	415	31	)	)	PUNCT
ejpam-5928	415	32	.	.	PUNCT
ejpam-5928	416	1	then	then	ADV
ejpam-5928	416	2	˜̃⋃	˜̃⋃	PROPN
ejpam-5928	416	3	δ∈∆	δ∈∆	PROPN
ejpam-5928	416	4	(	(	PUNCT
ejpam-5928	416	5	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	416	6	,	,	PUNCT
ejpam-5928	416	7	λ̈δ	λ̈δ	PROPN
ejpam-5928	416	8	,	,	PUNCT
ejpam-5928	416	9	µ	µ	NOUN
ejpam-5928	416	10	)	)	PUNCT
ejpam-5928	416	11	is	be	AUX
ejpam-5928	416	12	bs	bs	ADJ
ejpam-5928	416	13	˜̃m	˜̃m	ADV
ejpam-5928	416	14	-	-	PUNCT
ejpam-5928	416	15	connected	connect	VERB
ejpam-5928	416	16	.	.	PUNCT
ejpam-5928	417	1	proof	proof	NOUN
ejpam-5928	417	2	.	.	PUNCT
ejpam-5928	418	1	assume	assume	VERB
ejpam-5928	418	2	(	(	PUNCT
ejpam-5928	418	3	ξ	ξ	PROPN
ejpam-5928	418	4	,	,	PUNCT
ejpam-5928	418	5	η	η	PROPN
ejpam-5928	418	6	,	,	PUNCT
ejpam-5928	418	7	µ	µ	NOUN
ejpam-5928	418	8	)	)	PUNCT
ejpam-5928	418	9	=	=	SYM
ejpam-5928	418	10	˜̃⋃	˜̃⋃	NOUN
ejpam-5928	418	11	δ∈∆	δ∈∆	PROPN
ejpam-5928	418	12	(	(	PUNCT
ejpam-5928	418	13	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	418	14	,	,	PUNCT
ejpam-5928	418	15	λ̈δ	λ̈δ	PROPN
ejpam-5928	418	16	,	,	PUNCT
ejpam-5928	418	17	µ	µ	NOUN
ejpam-5928	418	18	)	)	PUNCT
ejpam-5928	418	19	is	be	AUX
ejpam-5928	418	20	not	not	PART
ejpam-5928	418	21	bs	bs	ADJ
ejpam-5928	418	22	˜̃m	˜̃m	ADV
ejpam-5928	418	23	-	-	PUNCT
ejpam-5928	418	24	connected	connect	VERB
ejpam-5928	418	25	.	.	PUNCT
ejpam-5928	419	1	thus	thus	ADV
ejpam-5928	419	2	,	,	PUNCT
ejpam-5928	419	3	there	there	PRON
ejpam-5928	419	4	exist	exist	VERB
ejpam-5928	419	5	two	two	NUM
ejpam-5928	419	6	nonnull	nonnull	NOUN
ejpam-5928	419	7	disjoint	disjoint	NOUN
ejpam-5928	419	8	bs	bs	NOUN
ejpam-5928	419	9	˜̃m	˜̃m	ADV
ejpam-5928	419	10	-	-	PUNCT
ejpam-5928	419	11	open	open	ADJ
ejpam-5928	419	12	sets	set	NOUN
ejpam-5928	419	13	(	(	PUNCT
ejpam-5928	419	14	ξ1	ξ1	NOUN
ejpam-5928	419	15	,	,	PUNCT
ejpam-5928	419	16	η1	η1	NOUN
ejpam-5928	419	17	,	,	PUNCT
ejpam-5928	419	18	µ	µ	NOUN
ejpam-5928	419	19	)	)	PUNCT
ejpam-5928	419	20	and	and	CCONJ
ejpam-5928	419	21	(	(	PUNCT
ejpam-5928	419	22	ξ2	ξ2	ADJ
ejpam-5928	419	23	,	,	PUNCT
ejpam-5928	419	24	η2	η2	PROPN
ejpam-5928	419	25	,	,	PUNCT
ejpam-5928	419	26	µ	µ	NOUN
ejpam-5928	419	27	)	)	PUNCT
ejpam-5928	420	1	s.	s.	PROPN
ejpam-5928	420	2	t.	t.	PROPN
ejpam-5928	420	3	(	(	PUNCT
ejpam-5928	420	4	ξ	ξ	PROPN
ejpam-5928	420	5	,	,	PUNCT
ejpam-5928	420	6	η	η	PROPN
ejpam-5928	420	7	,	,	PUNCT
ejpam-5928	420	8	µ	µ	NOUN
ejpam-5928	420	9	)	)	PUNCT
ejpam-5928	420	10	=	=	SYM
ejpam-5928	420	11	(	(	PUNCT
ejpam-5928	420	12	ξ1	ξ1	PROPN
ejpam-5928	420	13	,	,	PUNCT
ejpam-5928	420	14	η1	η1	NOUN
ejpam-5928	420	15	,	,	PUNCT
ejpam-5928	420	16	µ	µ	NOUN
ejpam-5928	420	17	)	)	PUNCT
ejpam-5928	420	18	˜̃∪	˜̃∪	PROPN
ejpam-5928	420	19	(	(	PUNCT
ejpam-5928	420	20	ξ2	ξ2	ADJ
ejpam-5928	420	21	,	,	PUNCT
ejpam-5928	420	22	η2	η2	PROPN
ejpam-5928	420	23	,	,	PUNCT
ejpam-5928	420	24	µ	µ	NOUN
ejpam-5928	420	25	)	)	PUNCT
ejpam-5928	420	26	.	.	PUNCT
ejpam-5928	421	1	for	for	ADP
ejpam-5928	421	2	each	each	DET
ejpam-5928	421	3	δ	δ	PROPN
ejpam-5928	421	4	∈	∈	PROPN
ejpam-5928	421	5	∆	∆	X
ejpam-5928	421	6	,	,	PUNCT
ejpam-5928	421	7	(	(	PUNCT
ejpam-5928	421	8	ξ1	ξ1	NOUN
ejpam-5928	421	9	,	,	PUNCT
ejpam-5928	421	10	η1	η1	NOUN
ejpam-5928	421	11	,	,	PUNCT
ejpam-5928	421	12	µ	µ	NOUN
ejpam-5928	421	13	)	)	PUNCT
ejpam-5928	421	14	˜̃∩	˜̃∩	ADV
ejpam-5928	421	15	(	(	PUNCT
ejpam-5928	421	16	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	421	17	,	,	PUNCT
ejpam-5928	421	18	λ̈δ	λ̈δ	PROPN
ejpam-5928	421	19	,	,	PUNCT
ejpam-5928	421	20	µ	µ	NOUN
ejpam-5928	421	21	)	)	PUNCT
ejpam-5928	421	22	and	and	CCONJ
ejpam-5928	421	23	(	(	PUNCT
ejpam-5928	421	24	ξ2	ξ2	ADJ
ejpam-5928	421	25	,	,	PUNCT
ejpam-5928	421	26	η2	η2	PROPN
ejpam-5928	421	27	,	,	PUNCT
ejpam-5928	421	28	µ	µ	NOUN
ejpam-5928	421	29	)	)	PUNCT
ejpam-5928	421	30	˜̃∩	˜̃∩	ADV
ejpam-5928	421	31	(	(	PUNCT
ejpam-5928	421	32	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	421	33	,	,	PUNCT
ejpam-5928	421	34	λ̈δ	λ̈δ	PROPN
ejpam-5928	421	35	,	,	PUNCT
ejpam-5928	421	36	µ	µ	X
ejpam-5928	421	37	)	)	PUNCT
ejpam-5928	421	38	are	be	AUX
ejpam-5928	421	39	disjoint	disjoint	NOUN
ejpam-5928	421	40	bs	bs	ADP
ejpam-5928	421	41	˜̃m	˜̃m	ADV
ejpam-5928	421	42	-	-	PUNCT
ejpam-5928	421	43	open	open	ADJ
ejpam-5928	421	44	sets	set	NOUN
ejpam-5928	421	45	in	in	ADP
ejpam-5928	421	46	(	(	PUNCT
ejpam-5928	421	47	ζ̈δ	ζ̈δ	NOUN
ejpam-5928	421	48	,	,	PUNCT
ejpam-5928	421	49	λ̈δ	λ̈δ	PROPN
ejpam-5928	421	50	,	,	PUNCT
ejpam-5928	421	51	µ	µ	NOUN
ejpam-5928	421	52	)	)	PUNCT
ejpam-5928	421	53	in	in	ADP
ejpam-5928	421	54	which	which	PRON
ejpam-5928	421	55	(	(	PUNCT
ejpam-5928	421	56	(	(	PUNCT
ejpam-5928	421	57	ξ1	ξ1	NOUN
ejpam-5928	421	58	,	,	PUNCT
ejpam-5928	421	59	η1	η1	NOUN
ejpam-5928	421	60	,	,	PUNCT
ejpam-5928	421	61	µ	µ	NOUN
ejpam-5928	421	62	)	)	PUNCT
ejpam-5928	421	63	˜̃∩	˜̃∩	ADV
ejpam-5928	421	64	(	(	PUNCT
ejpam-5928	421	65	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	421	66	,	,	PUNCT
ejpam-5928	421	67	λ̈δ	λ̈δ	PROPN
ejpam-5928	421	68	,	,	PUNCT
ejpam-5928	421	69	µ	µ	NOUN
ejpam-5928	421	70	)	)	PUNCT
ejpam-5928	421	71	)	)	PUNCT
ejpam-5928	422	1	˜̃∪	˜̃∪	PROPN
ejpam-5928	422	2	(	(	PUNCT
ejpam-5928	422	3	(	(	PUNCT
ejpam-5928	422	4	ξ2	ξ2	ADJ
ejpam-5928	422	5	,	,	PUNCT
ejpam-5928	422	6	η2	η2	PROPN
ejpam-5928	422	7	,	,	PUNCT
ejpam-5928	422	8	µ	µ	NOUN
ejpam-5928	422	9	)	)	PUNCT
ejpam-5928	422	10	˜̃∩	˜̃∩	ADV
ejpam-5928	422	11	(	(	PUNCT
ejpam-5928	422	12	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	422	13	,	,	PUNCT
ejpam-5928	422	14	λ̈δ	λ̈δ	PROPN
ejpam-5928	422	15	,	,	PUNCT
ejpam-5928	422	16	µ	µ	NOUN
ejpam-5928	422	17	)	)	PUNCT
ejpam-5928	422	18	)	)	PUNCT
ejpam-5928	423	1	=	=	PUNCT
ejpam-5928	423	2	(	(	PUNCT
ejpam-5928	423	3	(	(	PUNCT
ejpam-5928	423	4	ξ1	ξ1	NOUN
ejpam-5928	423	5	,	,	PUNCT
ejpam-5928	423	6	η1	η1	NOUN
ejpam-5928	423	7	,	,	PUNCT
ejpam-5928	423	8	µ	µ	NOUN
ejpam-5928	423	9	)	)	PUNCT
ejpam-5928	424	1	˜̃∪	˜̃∪	PROPN
ejpam-5928	424	2	(	(	PUNCT
ejpam-5928	424	3	ξ2	ξ2	ADJ
ejpam-5928	424	4	,	,	PUNCT
ejpam-5928	424	5	η2	η2	PROPN
ejpam-5928	424	6	,	,	PUNCT
ejpam-5928	424	7	µ	µ	NOUN
ejpam-5928	424	8	)	)	PUNCT
ejpam-5928	424	9	)	)	PUNCT
ejpam-5928	425	1	˜̃∩	˜̃∩	ADV
ejpam-5928	425	2	(	(	PUNCT
ejpam-5928	425	3	ζ̈δ	ζ̈δ	NOUN
ejpam-5928	425	4	,	,	PUNCT
ejpam-5928	425	5	λ̈δ	λ̈δ	PROPN
ejpam-5928	425	6	,	,	PUNCT
ejpam-5928	425	7	µ	µ	NOUN
ejpam-5928	425	8	)	)	PUNCT
ejpam-5928	425	9	=	=	SYM
ejpam-5928	425	10	(	(	PUNCT
ejpam-5928	425	11	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	425	12	,	,	PUNCT
ejpam-5928	425	13	λ̈δ	λ̈δ	PROPN
ejpam-5928	425	14	,	,	PUNCT
ejpam-5928	425	15	µ	µ	NOUN
ejpam-5928	425	16	)	)	PUNCT
ejpam-5928	425	17	.	.	PUNCT
ejpam-5928	426	1	now	now	ADV
ejpam-5928	426	2	,	,	PUNCT
ejpam-5928	426	3	from	from	ADP
ejpam-5928	426	4	(	(	PUNCT
ejpam-5928	426	5	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	426	6	,	,	PUNCT
ejpam-5928	426	7	λ̈δ	λ̈δ	PROPN
ejpam-5928	426	8	,	,	PUNCT
ejpam-5928	426	9	µ	µ	NOUN
ejpam-5928	426	10	)	)	PUNCT
ejpam-5928	426	11	is	be	AUX
ejpam-5928	426	12	a	a	DET
ejpam-5928	426	13	bs	bs	NOUN
ejpam-5928	426	14	˜̃m	˜̃m	ADV
ejpam-5928	426	15	-	-	PUNCT
ejpam-5928	426	16	connected	connect	VERB
ejpam-5928	426	17	set	set	NOUN
ejpam-5928	426	18	,	,	PUNCT
ejpam-5928	426	19	one	one	NUM
ejpam-5928	426	20	of	of	ADP
ejpam-5928	426	21	the	the	DET
ejpam-5928	426	22	bsss	bsss	NOUN
ejpam-5928	426	23	(	(	PUNCT
ejpam-5928	426	24	ξ1	ξ1	PROPN
ejpam-5928	426	25	,	,	PUNCT
ejpam-5928	426	26	η1	η1	NOUN
ejpam-5928	426	27	,	,	PUNCT
ejpam-5928	426	28	µ	µ	NOUN
ejpam-5928	426	29	)	)	PUNCT
ejpam-5928	426	30	˜̃∩	˜̃∩	ADV
ejpam-5928	426	31	(	(	PUNCT
ejpam-5928	426	32	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	426	33	,	,	PUNCT
ejpam-5928	426	34	λ̈δ	λ̈δ	PROPN
ejpam-5928	426	35	,	,	PUNCT
ejpam-5928	426	36	µ	µ	NOUN
ejpam-5928	426	37	)	)	PUNCT
ejpam-5928	426	38	and	and	CCONJ
ejpam-5928	426	39	(	(	PUNCT
ejpam-5928	426	40	ξ2	ξ2	ADJ
ejpam-5928	426	41	,	,	PUNCT
ejpam-5928	426	42	η2	η2	PROPN
ejpam-5928	426	43	,	,	PUNCT
ejpam-5928	426	44	µ	µ	NOUN
ejpam-5928	426	45	)	)	PUNCT
ejpam-5928	426	46	˜̃∩	˜̃∩	ADV
ejpam-5928	426	47	(	(	PUNCT
ejpam-5928	426	48	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	426	49	,	,	PUNCT
ejpam-5928	426	50	λ̈δ	λ̈δ	PROPN
ejpam-5928	426	51	,	,	PUNCT
ejpam-5928	426	52	µ	µ	NOUN
ejpam-5928	426	53	)	)	PUNCT
ejpam-5928	426	54	is	be	AUX
ejpam-5928	426	55	a	a	DET
ejpam-5928	426	56	null	null	ADJ
ejpam-5928	426	57	bsss	bsss	NOUN
ejpam-5928	426	58	,	,	PUNCT
ejpam-5928	426	59	say	say	VERB
ejpam-5928	426	60	,	,	PUNCT
ejpam-5928	426	61	(	(	PUNCT
ejpam-5928	426	62	ξ1	ξ1	NOUN
ejpam-5928	426	63	,	,	PUNCT
ejpam-5928	426	64	η1	η1	NOUN
ejpam-5928	426	65	,	,	PUNCT
ejpam-5928	426	66	µ	µ	NOUN
ejpam-5928	426	67	)	)	PUNCT
ejpam-5928	426	68	˜̃∩	˜̃∩	ADV
ejpam-5928	426	69	(	(	PUNCT
ejpam-5928	426	70	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	426	71	,	,	PUNCT
ejpam-5928	426	72	λ̈δ	λ̈δ	PROPN
ejpam-5928	426	73	,	,	PUNCT
ejpam-5928	426	74	µ	µ	NOUN
ejpam-5928	426	75	)	)	PUNCT
ejpam-5928	426	76	=	=	SYM
ejpam-5928	426	77	(	(	PUNCT
ejpam-5928	426	78	φ	φ	PROPN
ejpam-5928	426	79	,	,	PUNCT
ejpam-5928	426	80	η	η	PROPN
ejpam-5928	426	81	,	,	PUNCT
ejpam-5928	426	82	µ	µ	NOUN
ejpam-5928	426	83	)	)	PUNCT
ejpam-5928	426	84	.	.	PUNCT
ejpam-5928	427	1	then	then	ADV
ejpam-5928	427	2	,	,	PUNCT
ejpam-5928	427	3	(	(	PUNCT
ejpam-5928	427	4	ξ2	ξ2	ADJ
ejpam-5928	427	5	,	,	PUNCT
ejpam-5928	427	6	η2	η2	PROPN
ejpam-5928	427	7	,	,	PUNCT
ejpam-5928	427	8	µ)˜̃∩	µ)˜̃∩	CCONJ
ejpam-5928	427	9	(	(	PUNCT
ejpam-5928	427	10	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	427	11	,	,	PUNCT
ejpam-5928	427	12	λ̈δ	λ̈δ	PROPN
ejpam-5928	427	13	,	,	PUNCT
ejpam-5928	427	14	µ	µ	NOUN
ejpam-5928	427	15	)	)	PUNCT
ejpam-5928	427	16	=	=	SYM
ejpam-5928	427	17	(	(	PUNCT
ejpam-5928	427	18	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	427	19	,	,	PUNCT
ejpam-5928	427	20	λ̈δ	λ̈δ	PROPN
ejpam-5928	427	21	,	,	PUNCT
ejpam-5928	427	22	µ	µ	NOUN
ejpam-5928	427	23	)	)	PUNCT
ejpam-5928	427	24	which	which	PRON
ejpam-5928	427	25	implies	imply	VERB
ejpam-5928	427	26	that	that	SCONJ
ejpam-5928	427	27	(	(	PUNCT
ejpam-5928	427	28	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	427	29	,	,	PUNCT
ejpam-5928	427	30	λ̈δ	λ̈δ	PROPN
ejpam-5928	427	31	,	,	PUNCT
ejpam-5928	427	32	µ	µ	NOUN
ejpam-5928	427	33	)	)	PUNCT
ejpam-5928	427	34	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	427	35	(	(	PUNCT
ejpam-5928	427	36	ξ2	ξ2	ADJ
ejpam-5928	427	37	,	,	PUNCT
ejpam-5928	427	38	η2	η2	PROPN
ejpam-5928	427	39	,	,	PUNCT
ejpam-5928	427	40	µ	µ	NOUN
ejpam-5928	427	41	)	)	PUNCT
ejpam-5928	427	42	for	for	ADP
ejpam-5928	427	43	all	all	DET
ejpam-5928	427	44	δ	δ	PROPN
ejpam-5928	427	45	∈	∈	PROPN
ejpam-5928	427	46	∆	∆	PROPN
ejpam-5928	427	47	and	and	CCONJ
ejpam-5928	427	48	hence˜̃⋃	hence˜̃⋃	PROPN
ejpam-5928	427	49	δ∈∆	δ∈∆	PROPN
ejpam-5928	427	50	(	(	PUNCT
ejpam-5928	427	51	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	427	52	,	,	PUNCT
ejpam-5928	427	53	λ̈δ	λ̈δ	PROPN
ejpam-5928	427	54	,	,	PUNCT
ejpam-5928	427	55	µ	µ	NOUN
ejpam-5928	427	56	)	)	PUNCT
ejpam-5928	427	57	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	427	58	(	(	PUNCT
ejpam-5928	427	59	ξ2	ξ2	ADJ
ejpam-5928	427	60	,	,	PUNCT
ejpam-5928	427	61	η2	η2	PROPN
ejpam-5928	427	62	,	,	PUNCT
ejpam-5928	427	63	µ	µ	NOUN
ejpam-5928	427	64	)	)	PUNCT
ejpam-5928	427	65	,	,	PUNCT
ejpam-5928	427	66	that	that	ADV
ejpam-5928	427	67	is	is	ADV
ejpam-5928	427	68	,	,	PUNCT
ejpam-5928	427	69	(	(	PUNCT
ejpam-5928	427	70	ξ1	ξ1	NOUN
ejpam-5928	427	71	,	,	PUNCT
ejpam-5928	427	72	η1	η1	NOUN
ejpam-5928	427	73	,	,	PUNCT
ejpam-5928	427	74	µ	µ	NOUN
ejpam-5928	427	75	)	)	PUNCT
ejpam-5928	427	76	˜̃∪	˜̃∪	PROPN
ejpam-5928	427	77	(	(	PUNCT
ejpam-5928	427	78	ξ2	ξ2	ADJ
ejpam-5928	427	79	,	,	PUNCT
ejpam-5928	427	80	η2	η2	PROPN
ejpam-5928	427	81	,	,	PUNCT
ejpam-5928	427	82	µ	µ	NOUN
ejpam-5928	427	83	)	)	PUNCT
ejpam-5928	428	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	428	2	(	(	PUNCT
ejpam-5928	428	3	ξ2	ξ2	ADJ
ejpam-5928	428	4	,	,	PUNCT
ejpam-5928	428	5	η2	η2	PROPN
ejpam-5928	428	6	,	,	PUNCT
ejpam-5928	428	7	µ	µ	NOUN
ejpam-5928	428	8	)	)	PUNCT
ejpam-5928	428	9	.	.	PUNCT
ejpam-5928	429	1	this	this	PRON
ejpam-5928	429	2	given	give	VERB
ejpam-5928	429	3	,	,	PUNCT
ejpam-5928	429	4	(	(	PUNCT
ejpam-5928	429	5	ξ1	ξ1	NOUN
ejpam-5928	429	6	,	,	PUNCT
ejpam-5928	429	7	η1	η1	NOUN
ejpam-5928	429	8	,	,	PUNCT
ejpam-5928	429	9	µ	µ	NOUN
ejpam-5928	429	10	)	)	PUNCT
ejpam-5928	429	11	=	=	SYM
ejpam-5928	429	12	(	(	PUNCT
ejpam-5928	429	13	φ	φ	PROPN
ejpam-5928	429	14	,	,	PUNCT
ejpam-5928	429	15	η	η	PROPN
ejpam-5928	429	16	,	,	PUNCT
ejpam-5928	429	17	µ	µ	NOUN
ejpam-5928	429	18	)	)	PUNCT
ejpam-5928	429	19	.	.	PUNCT
ejpam-5928	430	1	this	this	PRON
ejpam-5928	430	2	is	be	AUX
ejpam-5928	430	3	a	a	DET
ejpam-5928	430	4	contradiction	contradiction	NOUN
ejpam-5928	430	5	because	because	SCONJ
ejpam-5928	430	6	(	(	PUNCT
ejpam-5928	430	7	ξ1	ξ1	NOUN
ejpam-5928	430	8	,	,	PUNCT
ejpam-5928	430	9	η1	η1	NOUN
ejpam-5928	430	10	,	,	PUNCT
ejpam-5928	430	11	µ	µ	NOUN
ejpam-5928	430	12	)	)	PUNCT
ejpam-5928	430	13	is	be	AUX
ejpam-5928	430	14	nonnull	nonnull	NOUN
ejpam-5928	430	15	bss	bss	NOUN
ejpam-5928	430	16	.	.	PUNCT
ejpam-5928	431	1	hence	hence	ADV
ejpam-5928	431	2	,	,	PUNCT
ejpam-5928	431	3	(	(	PUNCT
ejpam-5928	431	4	ξ	ξ	X
ejpam-5928	431	5	,	,	PUNCT
ejpam-5928	431	6	η	η	PROPN
ejpam-5928	431	7	,	,	PUNCT
ejpam-5928	431	8	µ	µ	NOUN
ejpam-5928	431	9	)	)	PUNCT
ejpam-5928	431	10	is	be	AUX
ejpam-5928	431	11	a	a	DET
ejpam-5928	431	12	bs	bs	NOUN
ejpam-5928	431	13	˜̃m	˜̃m	ADV
ejpam-5928	431	14	-	-	PUNCT
ejpam-5928	431	15	connected	connect	VERB
ejpam-5928	431	16	.	.	PUNCT
ejpam-5928	432	1	proposition	proposition	NOUN
ejpam-5928	432	2	10	10	NUM
ejpam-5928	432	3	.	.	PUNCT
ejpam-5928	433	1	for	for	ADP
ejpam-5928	433	2	any	any	DET
ejpam-5928	433	3	two	two	NUM
ejpam-5928	433	4	bsps	bsps	NOUN
ejpam-5928	433	5	αϑ	αϑ	ADP
ejpam-5928	433	6	β	β	PROPN
ejpam-5928	433	7	,	,	PUNCT
ejpam-5928	433	8	α	α	PROPN
ejpam-5928	433	9	′µ′	′µ′	PROPN
ejpam-5928	433	10	β′	β′	NUM
ejpam-5928	434	1	˜̃∈	˜̃∈	PROPN
ejpam-5928	434	2	(	(	PUNCT
ejpam-5928	434	3	ζ̈	ζ̈	PROPN
ejpam-5928	434	4	,	,	PUNCT
ejpam-5928	434	5	λ̈	λ̈	NOUN
ejpam-5928	434	6	,	,	PUNCT
ejpam-5928	434	7	µ	µ	NOUN
ejpam-5928	434	8	)	)	PUNCT
ejpam-5928	434	9	˜̃∈	˜̃∈	PROPN
ejpam-5928	434	10	bss(π	bss(π	PROPN
ejpam-5928	434	11	)	)	PUNCT
ejpam-5928	434	12	in	in	ADP
ejpam-5928	434	13	a	a	DET
ejpam-5928	434	14	bsms	bsms	NOUN
ejpam-5928	434	15	(	(	PUNCT
ejpam-5928	434	16	π	π	PROPN
ejpam-5928	434	17	,	,	PUNCT
ejpam-5928	434	18	˜̃m	˜̃m	PROPN
ejpam-5928	434	19	,	,	PUNCT
ejpam-5928	434	20	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	434	21	)	)	PUNCT
ejpam-5928	434	22	are	be	AUX
ejpam-5928	434	23	contained	contain	VERB
ejpam-5928	434	24	in	in	ADP
ejpam-5928	434	25	some	some	DET
ejpam-5928	434	26	bs	bs	NOUN
ejpam-5928	434	27	˜̃m	˜̃m	ADV
ejpam-5928	434	28	-	-	PUNCT
ejpam-5928	434	29	connected	connect	VERB
ejpam-5928	434	30	set	set	NOUN
ejpam-5928	434	31	(	(	PUNCT
ejpam-5928	434	32	ξ	ξ	PROPN
ejpam-5928	434	33	,	,	PUNCT
ejpam-5928	434	34	η	η	PROPN
ejpam-5928	434	35	,	,	PUNCT
ejpam-5928	434	36	µ	µ	NOUN
ejpam-5928	434	37	)	)	PUNCT
ejpam-5928	434	38	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	434	39	(	(	PUNCT
ejpam-5928	434	40	ζ̈	ζ̈	PROPN
ejpam-5928	434	41	,	,	PUNCT
ejpam-5928	434	42	λ̈	λ̈	NOUN
ejpam-5928	434	43	,	,	PUNCT
ejpam-5928	434	44	µ	µ	NOUN
ejpam-5928	434	45	)	)	PUNCT
ejpam-5928	434	46	.	.	PUNCT
ejpam-5928	435	1	then	then	ADV
ejpam-5928	435	2	(	(	PUNCT
ejpam-5928	435	3	ζ̈	ζ̈	NOUN
ejpam-5928	435	4	,	,	PUNCT
ejpam-5928	435	5	λ̈	λ̈	NOUN
ejpam-5928	435	6	,	,	PUNCT
ejpam-5928	435	7	µ	µ	NOUN
ejpam-5928	435	8	)	)	PUNCT
ejpam-5928	435	9	is	be	AUX
ejpam-5928	435	10	bs	bs	NOUN
ejpam-5928	435	11	˜̃mconnected	˜̃mconnecte	VERB
ejpam-5928	435	12	.	.	PUNCT
ejpam-5928	436	1	proof	proof	NOUN
ejpam-5928	436	2	.	.	PUNCT
ejpam-5928	437	1	let	let	VERB
ejpam-5928	437	2	(	(	PUNCT
ejpam-5928	437	3	ζ̈	ζ̈	NOUN
ejpam-5928	437	4	,	,	PUNCT
ejpam-5928	437	5	λ̈	λ̈	NOUN
ejpam-5928	437	6	,	,	PUNCT
ejpam-5928	437	7	µ	µ	NOUN
ejpam-5928	437	8	)	)	PUNCT
ejpam-5928	437	9	be	be	AUX
ejpam-5928	437	10	a	a	DET
ejpam-5928	437	11	bs	bs	NOUN
ejpam-5928	437	12	˜̃m	˜̃m	ADV
ejpam-5928	437	13	-	-	PUNCT
ejpam-5928	437	14	disconnected	disconnect	VERB
ejpam-5928	437	15	set	set	NOUN
ejpam-5928	437	16	.	.	PUNCT
ejpam-5928	438	1	thus	thus	ADV
ejpam-5928	438	2	,	,	PUNCT
ejpam-5928	438	3	there	there	PRON
ejpam-5928	438	4	exist	exist	VERB
ejpam-5928	438	5	a	a	DET
ejpam-5928	438	6	˜̃m	˜̃m	ADV
ejpam-5928	438	7	-	-	PUNCT
ejpam-5928	438	8	separated	separate	VERB
ejpam-5928	438	9	bsss	bsss	NOUN
ejpam-5928	438	10	(	(	PUNCT
ejpam-5928	438	11	ζ̈1	ζ̈1	ADJ
ejpam-5928	438	12	,	,	PUNCT
ejpam-5928	438	13	λ̈1	λ̈1	PROPN
ejpam-5928	438	14	,	,	PUNCT
ejpam-5928	438	15	µ	µ	NOUN
ejpam-5928	438	16	)	)	PUNCT
ejpam-5928	438	17	and	and	CCONJ
ejpam-5928	438	18	(	(	PUNCT
ejpam-5928	438	19	ζ̈2	ζ̈2	PROPN
ejpam-5928	438	20	,	,	PUNCT
ejpam-5928	438	21	λ̈2	λ̈2	NOUN
ejpam-5928	438	22	,	,	PUNCT
ejpam-5928	438	23	µ	µ	NOUN
ejpam-5928	438	24	)	)	PUNCT
ejpam-5928	438	25	of	of	ADP
ejpam-5928	438	26	(	(	PUNCT
ejpam-5928	438	27	ζ̈	ζ̈	NOUN
ejpam-5928	438	28	,	,	PUNCT
ejpam-5928	438	29	λ̈	λ̈	NOUN
ejpam-5928	438	30	,	,	PUNCT
ejpam-5928	438	31	µ	µ	NOUN
ejpam-5928	438	32	)	)	PUNCT
ejpam-5928	438	33	.	.	PUNCT
ejpam-5928	439	1	then	then	ADV
ejpam-5928	439	2	,	,	PUNCT
ejpam-5928	439	3	there	there	PRON
ejpam-5928	439	4	are	be	VERB
ejpam-5928	439	5	two	two	NUM
ejpam-5928	439	6	bsps	bsps	NOUN
ejpam-5928	439	7	αϑ	αϑ	ADP
ejpam-5928	439	8	β	β	PROPN
ejpam-5928	439	9	,	,	PUNCT
ejpam-5928	439	10	α	α	PROPN
ejpam-5928	439	11	′µ′	′µ′	PROPN
ejpam-5928	439	12	β′	β′	PUNCT
ejpam-5928	439	13	in	in	ADP
ejpam-5928	439	14	which	which	PRON
ejpam-5928	439	15	αϑ	αϑ	ADP
ejpam-5928	439	16	β	β	X
ejpam-5928	439	17	˜̃∈	˜̃∈	X
ejpam-5928	439	18	(	(	PUNCT
ejpam-5928	439	19	ζ̈1	ζ̈1	ADJ
ejpam-5928	439	20	,	,	PUNCT
ejpam-5928	439	21	λ̈1	λ̈1	PROPN
ejpam-5928	439	22	,	,	PUNCT
ejpam-5928	439	23	µ	µ	NOUN
ejpam-5928	439	24	)	)	PUNCT
ejpam-5928	439	25	and	and	CCONJ
ejpam-5928	439	26	α′µ′	α′µ′	NOUN
ejpam-5928	439	27	β′	β′	X
ejpam-5928	439	28	˜̃∈	˜̃∈	PROPN
ejpam-5928	439	29	(	(	PUNCT
ejpam-5928	439	30	ζ̈2	ζ̈2	PROPN
ejpam-5928	439	31	,	,	PUNCT
ejpam-5928	439	32	λ̈2	λ̈2	NOUN
ejpam-5928	439	33	,	,	PUNCT
ejpam-5928	439	34	µ	µ	NOUN
ejpam-5928	439	35	)	)	PUNCT
ejpam-5928	439	36	.	.	PUNCT
ejpam-5928	440	1	by	by	ADP
ejpam-5928	440	2	using	use	VERB
ejpam-5928	440	3	the	the	DET
ejpam-5928	440	4	assumption	assumption	NOUN
ejpam-5928	440	5	,	,	PUNCT
ejpam-5928	440	6	,	,	PUNCT
ejpam-5928	440	7	there	there	PRON
ejpam-5928	440	8	is	be	VERB
ejpam-5928	440	9	a	a	DET
ejpam-5928	440	10	bs	bs	NOUN
ejpam-5928	440	11	˜̃m	˜̃m	ADV
ejpam-5928	440	12	-	-	PUNCT
ejpam-5928	440	13	connected	connect	VERB
ejpam-5928	440	14	set	set	NOUN
ejpam-5928	440	15	(	(	PUNCT
ejpam-5928	440	16	ξ	ξ	PROPN
ejpam-5928	440	17	,	,	PUNCT
ejpam-5928	440	18	η	η	PROPN
ejpam-5928	440	19	,	,	PUNCT
ejpam-5928	440	20	µ	µ	NOUN
ejpam-5928	440	21	)	)	PUNCT
ejpam-5928	440	22	containing	contain	VERB
ejpam-5928	440	23	αϑ	αϑ	ADP
ejpam-5928	440	24	β	β	NOUN
ejpam-5928	440	25	,	,	PUNCT
ejpam-5928	440	26	α	α	PROPN
ejpam-5928	440	27	′µ′	′µ′	PROPN
ejpam-5928	440	28	β′	β′	NUM
ejpam-5928	441	1	s.	s.	PROPN
ejpam-5928	441	2	t.	t.	PROPN
ejpam-5928	441	3	(	(	PUNCT
ejpam-5928	441	4	ξ	ξ	PROPN
ejpam-5928	441	5	,	,	PUNCT
ejpam-5928	441	6	η	η	PROPN
ejpam-5928	441	7	,	,	PUNCT
ejpam-5928	441	8	µ	µ	NOUN
ejpam-5928	441	9	)	)	PUNCT
ejpam-5928	441	10	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	441	11	(	(	PUNCT
ejpam-5928	441	12	ζ̈	ζ̈	PROPN
ejpam-5928	441	13	,	,	PUNCT
ejpam-5928	441	14	λ̈	λ̈	NOUN
ejpam-5928	441	15	,	,	PUNCT
ejpam-5928	441	16	µ	µ	NOUN
ejpam-5928	441	17	)	)	PUNCT
ejpam-5928	441	18	=	=	SYM
ejpam-5928	441	19	(	(	PUNCT
ejpam-5928	441	20	ζ̈1	ζ̈1	ADJ
ejpam-5928	441	21	,	,	PUNCT
ejpam-5928	441	22	λ̈1	λ̈1	PROPN
ejpam-5928	441	23	,	,	PUNCT
ejpam-5928	441	24	µ	µ	NOUN
ejpam-5928	441	25	)	)	PUNCT
ejpam-5928	441	26	˜̃∪	˜̃∪	PROPN
ejpam-5928	441	27	(	(	PUNCT
ejpam-5928	441	28	ζ̈2	ζ̈2	PROPN
ejpam-5928	441	29	,	,	PUNCT
ejpam-5928	441	30	λ̈2	λ̈2	NOUN
ejpam-5928	441	31	,	,	PUNCT
ejpam-5928	441	32	µ	µ	NOUN
ejpam-5928	441	33	)	)	PUNCT
ejpam-5928	441	34	.	.	PUNCT
ejpam-5928	442	1	thus	thus	ADV
ejpam-5928	442	2	,	,	PUNCT
ejpam-5928	442	3	by	by	ADP
ejpam-5928	442	4	proposition	proposition	NOUN
ejpam-5928	442	5	7	7	NUM
ejpam-5928	442	6	,	,	PUNCT
ejpam-5928	442	7	we	we	PRON
ejpam-5928	442	8	have	have	VERB
ejpam-5928	442	9	(	(	PUNCT
ejpam-5928	442	10	ξ	ξ	PROPN
ejpam-5928	442	11	,	,	PUNCT
ejpam-5928	442	12	η	η	PROPN
ejpam-5928	442	13	,	,	PUNCT
ejpam-5928	442	14	µ	µ	NOUN
ejpam-5928	442	15	)	)	PUNCT
ejpam-5928	442	16	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	442	17	(	(	PUNCT
ejpam-5928	442	18	ζ̈1	ζ̈1	ADJ
ejpam-5928	442	19	,	,	PUNCT
ejpam-5928	442	20	λ̈1	λ̈1	PROPN
ejpam-5928	442	21	,	,	PUNCT
ejpam-5928	442	22	µ	µ	NOUN
ejpam-5928	442	23	)	)	PUNCT
ejpam-5928	442	24	or	or	CCONJ
ejpam-5928	442	25	(	(	PUNCT
ejpam-5928	442	26	ξ	ξ	PROPN
ejpam-5928	442	27	,	,	PUNCT
ejpam-5928	442	28	η	η	PROPN
ejpam-5928	442	29	,	,	PUNCT
ejpam-5928	442	30	µ	µ	NOUN
ejpam-5928	442	31	)	)	PUNCT
ejpam-5928	442	32	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	442	33	(	(	PUNCT
ejpam-5928	442	34	ζ̈2	ζ̈2	PROPN
ejpam-5928	442	35	,	,	PUNCT
ejpam-5928	442	36	λ̈2	λ̈2	NOUN
ejpam-5928	442	37	,	,	PUNCT
ejpam-5928	442	38	µ	µ	NOUN
ejpam-5928	442	39	)	)	PUNCT
ejpam-5928	442	40	.	.	PUNCT
ejpam-5928	443	1	this	this	PRON
ejpam-5928	443	2	implies	imply	VERB
ejpam-5928	443	3	that	that	SCONJ
ejpam-5928	443	4	r.	r.	PROPN
ejpam-5928	443	5	a.	a.	PROPN
ejpam-5928	443	6	mohammed	mohammed	PROPN
ejpam-5928	443	7	/	/	SYM
ejpam-5928	443	8	eur	eur	PROPN
ejpam-5928	443	9	.	.	PUNCT
ejpam-5928	444	1	j.	j.	PROPN
ejpam-5928	444	2	pure	pure	PROPN
ejpam-5928	444	3	appl	appl	PROPN
ejpam-5928	444	4	.	.	PROPN
ejpam-5928	444	5	math	math	PROPN
ejpam-5928	444	6	,	,	PUNCT
ejpam-5928	444	7	18	18	NUM
ejpam-5928	444	8	(	(	PUNCT
ejpam-5928	444	9	2	2	NUM
ejpam-5928	444	10	)	)	PUNCT
ejpam-5928	444	11	(	(	PUNCT
ejpam-5928	444	12	2025	2025	NUM
ejpam-5928	444	13	)	)	PUNCT
ejpam-5928	444	14	,	,	PUNCT
ejpam-5928	444	15	5928	5928	NUM
ejpam-5928	444	16	17	17	NUM
ejpam-5928	444	17	of	of	ADP
ejpam-5928	444	18	26	26	NUM
ejpam-5928	444	19	(	(	PUNCT
ejpam-5928	444	20	ζ̈1	ζ̈1	ADJ
ejpam-5928	444	21	,	,	PUNCT
ejpam-5928	444	22	λ̈1	λ̈1	PROPN
ejpam-5928	444	23	,	,	PUNCT
ejpam-5928	444	24	µ	µ	NOUN
ejpam-5928	444	25	)	)	PUNCT
ejpam-5928	444	26	˜̃∩	˜̃∩	ADV
ejpam-5928	444	27	(	(	PUNCT
ejpam-5928	444	28	ζ̈2	ζ̈2	PROPN
ejpam-5928	444	29	,	,	PUNCT
ejpam-5928	444	30	λ̈2	λ̈2	NOUN
ejpam-5928	444	31	,	,	PUNCT
ejpam-5928	444	32	µ	µ	NOUN
ejpam-5928	444	33	)	)	PUNCT
ejpam-5928	444	34	̸=	̸=	PROPN
ejpam-5928	444	35	(	(	PUNCT
ejpam-5928	444	36	φ	φ	PROPN
ejpam-5928	444	37	,	,	PUNCT
ejpam-5928	444	38	λ̈	λ̈	PROPN
ejpam-5928	444	39	,	,	PUNCT
ejpam-5928	444	40	µ	µ	NOUN
ejpam-5928	444	41	)	)	PUNCT
ejpam-5928	444	42	.	.	PUNCT
ejpam-5928	445	1	this	this	PRON
ejpam-5928	445	2	is	be	AUX
ejpam-5928	445	3	contradiction	contradiction	NOUN
ejpam-5928	445	4	since	since	SCONJ
ejpam-5928	445	5	(	(	PUNCT
ejpam-5928	445	6	ζ̈1	ζ̈1	ADJ
ejpam-5928	445	7	,	,	PUNCT
ejpam-5928	445	8	λ̈1	λ̈1	PROPN
ejpam-5928	445	9	,	,	PUNCT
ejpam-5928	445	10	µ	µ	NOUN
ejpam-5928	445	11	)	)	PUNCT
ejpam-5928	445	12	and	and	CCONJ
ejpam-5928	445	13	(	(	PUNCT
ejpam-5928	445	14	ζ̈2	ζ̈2	PROPN
ejpam-5928	445	15	,	,	PUNCT
ejpam-5928	445	16	λ̈2	λ̈2	NOUN
ejpam-5928	445	17	,	,	PUNCT
ejpam-5928	445	18	µ	µ	NOUN
ejpam-5928	445	19	)	)	PUNCT
ejpam-5928	445	20	are	be	AUX
ejpam-5928	445	21	˜̃m	˜̃m	ADV
ejpam-5928	445	22	-	-	PUNCT
ejpam-5928	445	23	separated	separate	VERB
ejpam-5928	445	24	bsss	bsss	NOUN
ejpam-5928	445	25	.	.	PUNCT
ejpam-5928	446	1	so	so	ADV
ejpam-5928	446	2	,	,	PUNCT
ejpam-5928	446	3	(	(	PUNCT
ejpam-5928	446	4	ζ̈	ζ̈	NOUN
ejpam-5928	446	5	,	,	PUNCT
ejpam-5928	446	6	λ̈	λ̈	NOUN
ejpam-5928	446	7	,	,	PUNCT
ejpam-5928	446	8	µ	µ	NOUN
ejpam-5928	446	9	)	)	PUNCT
ejpam-5928	446	10	is	be	AUX
ejpam-5928	446	11	bs	bs	ADJ
ejpam-5928	446	12	˜̃m	˜̃m	ADV
ejpam-5928	446	13	-	-	PUNCT
ejpam-5928	446	14	connected	connect	VERB
ejpam-5928	446	15	.	.	PUNCT
ejpam-5928	447	1	proposition	proposition	NOUN
ejpam-5928	447	2	11	11	NUM
ejpam-5928	447	3	.	.	PUNCT
ejpam-5928	448	1	let	let	VERB
ejpam-5928	448	2	{	{	PUNCT
ejpam-5928	448	3	(	(	PUNCT
ejpam-5928	448	4	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	448	5	,	,	PUNCT
ejpam-5928	448	6	λ̈δ	λ̈δ	PROPN
ejpam-5928	448	7	,	,	PUNCT
ejpam-5928	448	8	µ	µ	NOUN
ejpam-5928	448	9	)	)	PUNCT
ejpam-5928	448	10	:	:	PUNCT
ejpam-5928	449	1	δ	δ	PROPN
ejpam-5928	449	2	∈	∈	PROPN
ejpam-5928	449	3	∆	∆	PROPN
ejpam-5928	449	4	}	}	PUNCT
ejpam-5928	449	5	be	be	AUX
ejpam-5928	449	6	the	the	DET
ejpam-5928	449	7	class	class	NOUN
ejpam-5928	449	8	of	of	ADP
ejpam-5928	449	9	bs	bs	PROPN
ejpam-5928	449	10	˜̃m	˜̃m	ADV
ejpam-5928	449	11	-	-	PUNCT
ejpam-5928	449	12	connected	connect	VERB
ejpam-5928	449	13	sets	set	NOUN
ejpam-5928	449	14	s.	s.	PROPN
ejpam-5928	449	15	t.	t.	PROPN
ejpam-5928	449	16	one	one	NUM
ejpam-5928	449	17	of	of	ADP
ejpam-5928	449	18	the	the	DET
ejpam-5928	449	19	members	member	NOUN
ejpam-5928	449	20	of	of	ADP
ejpam-5928	449	21	this	this	DET
ejpam-5928	449	22	class	class	NOUN
ejpam-5928	449	23	intersects	intersect	NOUN
ejpam-5928	449	24	every	every	DET
ejpam-5928	449	25	other	other	ADJ
ejpam-5928	449	26	member	member	NOUN
ejpam-5928	449	27	.	.	PUNCT
ejpam-5928	450	1	then	then	ADV
ejpam-5928	450	2	,	,	PUNCT
ejpam-5928	450	3	˜̃⋃	˜̃⋃	PROPN
ejpam-5928	450	4	δ∈∆	δ∈∆	PROPN
ejpam-5928	450	5	(	(	PUNCT
ejpam-5928	450	6	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	450	7	,	,	PUNCT
ejpam-5928	450	8	λ̈δ	λ̈δ	PROPN
ejpam-5928	450	9	,	,	PUNCT
ejpam-5928	450	10	µ	µ	NOUN
ejpam-5928	450	11	)	)	PUNCT
ejpam-5928	450	12	is	be	AUX
ejpam-5928	450	13	bs˜̃m	bs˜̃m	NOUN
ejpam-5928	450	14	-	-	PUNCT
ejpam-5928	450	15	connected	connect	VERB
ejpam-5928	450	16	.	.	PUNCT
ejpam-5928	451	1	proof	proof	NOUN
ejpam-5928	451	2	.	.	PUNCT
ejpam-5928	452	1	let	let	VERB
ejpam-5928	452	2	(	(	PUNCT
ejpam-5928	452	3	ζ̈δ0	ζ̈δ0	PROPN
ejpam-5928	452	4	,	,	PUNCT
ejpam-5928	452	5	λ̈δ0	λ̈δ0	PROPN
ejpam-5928	452	6	,	,	PUNCT
ejpam-5928	452	7	µ	µ	X
ejpam-5928	452	8	)	)	PUNCT
ejpam-5928	452	9	be	be	VERB
ejpam-5928	452	10	a	a	DET
ejpam-5928	452	11	fixed	fix	VERB
ejpam-5928	452	12	member	member	NOUN
ejpam-5928	452	13	of	of	ADP
ejpam-5928	452	14	the	the	DET
ejpam-5928	452	15	given	give	VERB
ejpam-5928	452	16	class	class	NOUN
ejpam-5928	452	17	s.	s.	PROPN
ejpam-5928	452	18	t.	t.	PROPN
ejpam-5928	452	19	(	(	PUNCT
ejpam-5928	452	20	ζ̈δ0	ζ̈δ0	PROPN
ejpam-5928	452	21	,	,	PUNCT
ejpam-5928	452	22	λ̈δ0	λ̈δ0	PROPN
ejpam-5928	452	23	,	,	PUNCT
ejpam-5928	452	24	µ	µ	NOUN
ejpam-5928	452	25	)	)	PUNCT
ejpam-5928	452	26	˜̃∩	˜̃∩	ADV
ejpam-5928	452	27	(	(	PUNCT
ejpam-5928	452	28	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	452	29	,	,	PUNCT
ejpam-5928	452	30	λ̈δ	λ̈δ	PROPN
ejpam-5928	452	31	,	,	PUNCT
ejpam-5928	452	32	µ	µ	NOUN
ejpam-5928	452	33	)	)	PUNCT
ejpam-5928	452	34	̸=	̸=	PROPN
ejpam-5928	452	35	(	(	PUNCT
ejpam-5928	452	36	φ	φ	PROPN
ejpam-5928	452	37	,	,	PUNCT
ejpam-5928	452	38	λ̈µ	λ̈µ	NOUN
ejpam-5928	452	39	)	)	PUNCT
ejpam-5928	452	40	for	for	ADP
ejpam-5928	452	41	every	every	DET
ejpam-5928	452	42	δ	δ	PROPN
ejpam-5928	452	43	∈	∈	PROPN
ejpam-5928	453	1	∆.	∆.	X
ejpam-5928	453	2	then	then	ADV
ejpam-5928	453	3	,	,	PUNCT
ejpam-5928	453	4	(	(	PUNCT
ejpam-5928	453	5	ξδ	ξδ	ADP
ejpam-5928	453	6	,	,	PUNCT
ejpam-5928	453	7	ηδ	ηδ	NOUN
ejpam-5928	453	8	,	,	PUNCT
ejpam-5928	453	9	µ	µ	NOUN
ejpam-5928	453	10	)	)	PUNCT
ejpam-5928	453	11	=	=	PUNCT
ejpam-5928	453	12	(	(	PUNCT
ejpam-5928	453	13	ζ̈δ0	ζ̈δ0	PROPN
ejpam-5928	453	14	,	,	PUNCT
ejpam-5928	453	15	λ̈δ0	λ̈δ0	PROPN
ejpam-5928	453	16	,	,	PUNCT
ejpam-5928	453	17	µ	µ	X
ejpam-5928	453	18	)	)	PUNCT
ejpam-5928	453	19	˜̃∪	˜̃∪	PROPN
ejpam-5928	453	20	(	(	PUNCT
ejpam-5928	453	21	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	453	22	,	,	PUNCT
ejpam-5928	453	23	λ̈δ	λ̈δ	PROPN
ejpam-5928	453	24	,	,	PUNCT
ejpam-5928	453	25	µ	µ	NOUN
ejpam-5928	453	26	)	)	PUNCT
ejpam-5928	453	27	is	be	AUX
ejpam-5928	453	28	bs	bs	ADJ
ejpam-5928	453	29	˜̃m	˜̃m	ADV
ejpam-5928	453	30	-	-	PUNCT
ejpam-5928	453	31	connected	connect	VERB
ejpam-5928	453	32	for	for	ADP
ejpam-5928	453	33	each	each	DET
ejpam-5928	453	34	δ	δ	PROPN
ejpam-5928	453	35	∈	∈	PROPN
ejpam-5928	453	36	∆	∆	PROPN
ejpam-5928	453	37	,	,	PUNCT
ejpam-5928	453	38	hence	hence	ADV
ejpam-5928	453	39	by	by	ADP
ejpam-5928	453	40	proposition	proposition	NOUN
ejpam-5928	453	41	10	10	NUM
ejpam-5928	453	42	.	.	PUNCT
ejpam-5928	454	1	now,˜̃⋃	now,˜̃⋃	PROPN
ejpam-5928	455	1	δ∈∆	δ∈∆	PROPN
ejpam-5928	455	2	(	(	PUNCT
ejpam-5928	455	3	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	455	4	,	,	PUNCT
ejpam-5928	455	5	λ̈δ	λ̈δ	PROPN
ejpam-5928	455	6	,	,	PUNCT
ejpam-5928	455	7	µ	µ	NOUN
ejpam-5928	455	8	)	)	PUNCT
ejpam-5928	455	9	=	=	SYM
ejpam-5928	455	10	˜̃⋃	˜̃⋃	NOUN
ejpam-5928	455	11	δ∈∆	δ∈∆	PROPN
ejpam-5928	455	12	(	(	PUNCT
ejpam-5928	455	13	(	(	PUNCT
ejpam-5928	455	14	ζ̈δ0	ζ̈δ0	PROPN
ejpam-5928	455	15	,	,	PUNCT
ejpam-5928	455	16	λ̈δ0	λ̈δ0	PROPN
ejpam-5928	455	17	,	,	PUNCT
ejpam-5928	455	18	µ	µ	X
ejpam-5928	455	19	)	)	PUNCT
ejpam-5928	455	20	˜̃∪	˜̃∪	PROPN
ejpam-5928	455	21	(	(	PUNCT
ejpam-5928	455	22	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	455	23	,	,	PUNCT
ejpam-5928	455	24	λ̈δ	λ̈δ	PROPN
ejpam-5928	455	25	,	,	PUNCT
ejpam-5928	455	26	µ	µ	NOUN
ejpam-5928	455	27	)	)	PUNCT
ejpam-5928	455	28	)	)	PUNCT
ejpam-5928	456	1	=	=	PUNCT
ejpam-5928	456	2	(	(	PUNCT
ejpam-5928	456	3	ζ̈δ0	ζ̈δ0	PROPN
ejpam-5928	456	4	,	,	PUNCT
ejpam-5928	456	5	λ̈δ0	λ̈δ0	PROPN
ejpam-5928	456	6	,	,	PUNCT
ejpam-5928	456	7	µ	µ	X
ejpam-5928	456	8	)	)	PUNCT
ejpam-5928	456	9	˜̃∪	˜̃∪	PROPN
ejpam-5928	456	10	(	(	PUNCT
ejpam-5928	456	11	˜̃⋃	˜̃⋃	NOUN
ejpam-5928	456	12	δ∈∆(ζ̈δ	δ∈∆(ζ̈δ	PROPN
ejpam-5928	456	13	,	,	PUNCT
ejpam-5928	456	14	λ̈δ	λ̈δ	PROPN
ejpam-5928	456	15	,	,	PUNCT
ejpam-5928	456	16	µ	µ	NOUN
ejpam-5928	456	17	)	)	PUNCT
ejpam-5928	456	18	)	)	PUNCT
ejpam-5928	456	19	.	.	PUNCT
ejpam-5928	457	1	since	since	SCONJ
ejpam-5928	457	2	(	(	PUNCT
ejpam-5928	457	3	ζ̈δ0	ζ̈δ0	PROPN
ejpam-5928	457	4	,	,	PUNCT
ejpam-5928	457	5	λ̈δ0	λ̈δ0	PROPN
ejpam-5928	457	6	,	,	PUNCT
ejpam-5928	457	7	µ	µ	NOUN
ejpam-5928	457	8	)	)	PUNCT
ejpam-5928	457	9	is	be	AUX
ejpam-5928	457	10	one	one	NUM
ejpam-5928	457	11	of	of	ADP
ejpam-5928	457	12	the	the	DET
ejpam-5928	457	13	family	family	NOUN
ejpam-5928	457	14	{	{	PUNCT
ejpam-5928	457	15	(	(	PUNCT
ejpam-5928	457	16	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	457	17	,	,	PUNCT
ejpam-5928	457	18	λ̈δ	λ̈δ	PROPN
ejpam-5928	457	19	,	,	PUNCT
ejpam-5928	457	20	µ	µ	NOUN
ejpam-5928	457	21	)	)	PUNCT
ejpam-5928	457	22	:	:	PUNCT
ejpam-5928	457	23	δ	δ	PROPN
ejpam-5928	457	24	∈	∈	PROPN
ejpam-5928	457	25	∆	∆	X
ejpam-5928	457	26	}	}	PUNCT
ejpam-5928	457	27	and	and	CCONJ
ejpam-5928	457	28	˜̃⋂	˜̃⋂	PROPN
ejpam-5928	457	29	δ∈∆	δ∈∆	PROPN
ejpam-5928	457	30	(	(	PUNCT
ejpam-5928	457	31	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	457	32	,	,	PUNCT
ejpam-5928	457	33	λ̈δ	λ̈δ	PROPN
ejpam-5928	457	34	,	,	PUNCT
ejpam-5928	457	35	µ	µ	NOUN
ejpam-5928	457	36	)	)	PUNCT
ejpam-5928	457	37	=	=	SYM
ejpam-5928	457	38	˜̃⋂	˜̃⋂	PROPN
ejpam-5928	457	39	δ∈∆	δ∈∆	PROPN
ejpam-5928	457	40	(	(	PUNCT
ejpam-5928	457	41	(	(	PUNCT
ejpam-5928	457	42	ζ̈δ0	ζ̈δ0	PROPN
ejpam-5928	457	43	,	,	PUNCT
ejpam-5928	457	44	λ̈δ0	λ̈δ0	PROPN
ejpam-5928	457	45	,	,	PUNCT
ejpam-5928	457	46	µ	µ	X
ejpam-5928	457	47	)	)	PUNCT
ejpam-5928	457	48	˜̃∪	˜̃∪	PROPN
ejpam-5928	457	49	(	(	PUNCT
ejpam-5928	457	50	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	457	51	,	,	PUNCT
ejpam-5928	457	52	λ̈δ	λ̈δ	PROPN
ejpam-5928	457	53	,	,	PUNCT
ejpam-5928	457	54	µ	µ	NOUN
ejpam-5928	457	55	)	)	PUNCT
ejpam-5928	457	56	)	)	PUNCT
ejpam-5928	458	1	=	=	PUNCT
ejpam-5928	458	2	(	(	PUNCT
ejpam-5928	458	3	ζ̈δ0	ζ̈δ0	PROPN
ejpam-5928	458	4	,	,	PUNCT
ejpam-5928	458	5	λ̈δ0	λ̈δ0	PROPN
ejpam-5928	458	6	,	,	PUNCT
ejpam-5928	458	7	µ	µ	NOUN
ejpam-5928	458	8	)	)	PUNCT
ejpam-5928	458	9	˜̃∩	˜̃∩	ADV
ejpam-5928	458	10	(	(	PUNCT
ejpam-5928	458	11	˜̃⋃	˜̃⋃	PROPN
ejpam-5928	458	12	δ∈∆(ζ̈δ	δ∈∆(ζ̈δ	PROPN
ejpam-5928	458	13	,	,	PUNCT
ejpam-5928	458	14	λ̈δ	λ̈δ	PROPN
ejpam-5928	458	15	,	,	PUNCT
ejpam-5928	458	16	µ	µ	NOUN
ejpam-5928	458	17	)	)	PUNCT
ejpam-5928	458	18	)	)	PUNCT
ejpam-5928	459	1	̸=	̸=	PROPN
ejpam-5928	459	2	(	(	PUNCT
ejpam-5928	459	3	φ	φ	PROPN
ejpam-5928	459	4	,	,	PUNCT
ejpam-5928	459	5	˜̃	˜̃	NOUN
ejpam-5928	459	6	π	π	PROPN
ejpam-5928	459	7	,	,	PUNCT
ejpam-5928	459	8	µ	µ	NOUN
ejpam-5928	459	9	)	)	PUNCT
ejpam-5928	459	10	.	.	PUNCT
ejpam-5928	460	1	from	from	ADP
ejpam-5928	460	2	(	(	PUNCT
ejpam-5928	460	3	ζ̈δ0	ζ̈δ0	PROPN
ejpam-5928	460	4	,	,	PUNCT
ejpam-5928	460	5	λ̈δ0	λ̈δ0	PROPN
ejpam-5928	460	6	,	,	PUNCT
ejpam-5928	460	7	µ	µ	NOUN
ejpam-5928	460	8	)	)	PUNCT
ejpam-5928	460	9	intersects	intersect	NOUN
ejpam-5928	460	10	every	every	PRON
ejpam-5928	460	11	(	(	PUNCT
ejpam-5928	460	12	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	460	13	,	,	PUNCT
ejpam-5928	460	14	λ̈δ	λ̈δ	PROPN
ejpam-5928	460	15	,	,	PUNCT
ejpam-5928	460	16	µ	µ	NOUN
ejpam-5928	460	17	)	)	PUNCT
ejpam-5928	460	18	.	.	PUNCT
ejpam-5928	461	1	therefore	therefore	ADV
ejpam-5928	461	2	,	,	PUNCT
ejpam-5928	461	3	(	(	PUNCT
ejpam-5928	461	4	ζ̈δ0	ζ̈δ0	PROPN
ejpam-5928	461	5	,	,	PUNCT
ejpam-5928	461	6	λ̈δ0	λ̈δ0	PROPN
ejpam-5928	461	7	,	,	PUNCT
ejpam-5928	461	8	µ	µ	NOUN
ejpam-5928	461	9	)	)	PUNCT
ejpam-5928	461	10	̸=	̸=	PROPN
ejpam-5928	461	11	(	(	PUNCT
ejpam-5928	461	12	φ	φ	PROPN
ejpam-5928	461	13	,	,	PUNCT
ejpam-5928	461	14	˜̃	˜̃	NOUN
ejpam-5928	461	15	π	π	PROPN
ejpam-5928	461	16	,	,	PUNCT
ejpam-5928	461	17	µ	µ	NOUN
ejpam-5928	461	18	)	)	PUNCT
ejpam-5928	461	19	.	.	PUNCT
ejpam-5928	462	1	hence	hence	ADV
ejpam-5928	462	2	,	,	PUNCT
ejpam-5928	462	3	by	by	ADP
ejpam-5928	462	4	proposition	proposition	NOUN
ejpam-5928	462	5	9	9	NUM
ejpam-5928	462	6	,	,	PUNCT
ejpam-5928	462	7	˜̃⋃	˜̃⋃	NOUN
ejpam-5928	462	8	δ∈∆	δ∈∆	PROPN
ejpam-5928	462	9	(	(	PUNCT
ejpam-5928	462	10	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	462	11	,	,	PUNCT
ejpam-5928	462	12	λ̈δ	λ̈δ	PROPN
ejpam-5928	462	13	,	,	PUNCT
ejpam-5928	462	14	µ	µ	NOUN
ejpam-5928	462	15	)	)	PUNCT
ejpam-5928	462	16	is	be	AUX
ejpam-5928	462	17	bs	bs	ADJ
ejpam-5928	462	18	˜̃m	˜̃m	ADV
ejpam-5928	462	19	-	-	PUNCT
ejpam-5928	462	20	connected	connect	VERB
ejpam-5928	462	21	.	.	PUNCT
ejpam-5928	463	1	proposition	proposition	NOUN
ejpam-5928	463	2	12	12	NUM
ejpam-5928	463	3	.	.	PUNCT
ejpam-5928	464	1	if	if	SCONJ
ejpam-5928	464	2	(	(	PUNCT
ejpam-5928	464	3	ζ̈	ζ̈	NOUN
ejpam-5928	464	4	,	,	PUNCT
ejpam-5928	464	5	λ̈	λ̈	NOUN
ejpam-5928	464	6	,	,	PUNCT
ejpam-5928	464	7	µ	µ	NOUN
ejpam-5928	464	8	)	)	PUNCT
ejpam-5928	464	9	is	be	AUX
ejpam-5928	464	10	a	a	DET
ejpam-5928	464	11	bs	bs	NOUN
ejpam-5928	464	12	˜̃m	˜̃m	ADV
ejpam-5928	464	13	-	-	PUNCT
ejpam-5928	464	14	connected	connect	VERB
ejpam-5928	464	15	subset	subset	NOUN
ejpam-5928	464	16	of	of	ADP
ejpam-5928	464	17	a	a	DET
ejpam-5928	464	18	bsms	bsms	NOUN
ejpam-5928	464	19	(	(	PUNCT
ejpam-5928	464	20	π	π	PROPN
ejpam-5928	464	21	,	,	PUNCT
ejpam-5928	464	22	˜̃m	˜̃m	PROPN
ejpam-5928	464	23	,	,	PUNCT
ejpam-5928	464	24	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	464	25	)	)	PUNCT
ejpam-5928	464	26	s.	s.	PROPN
ejpam-5928	464	27	t.	t.	PROPN
ejpam-5928	464	28	(	(	PUNCT
ejpam-5928	464	29	ζ̈	ζ̈	PROPN
ejpam-5928	464	30	,	,	PUNCT
ejpam-5928	464	31	λ̈	λ̈	NOUN
ejpam-5928	464	32	,	,	PUNCT
ejpam-5928	464	33	µ	µ	NOUN
ejpam-5928	464	34	)	)	PUNCT
ejpam-5928	464	35	˜̃⊆	˜̃⊆	NOUN
ejpam-5928	464	36	(	(	PUNCT
ejpam-5928	464	37	ζ̈1	ζ̈1	ADJ
ejpam-5928	464	38	,	,	PUNCT
ejpam-5928	464	39	λ̈1	λ̈1	PROPN
ejpam-5928	464	40	,	,	PUNCT
ejpam-5928	464	41	µ	µ	NOUN
ejpam-5928	464	42	)	)	PUNCT
ejpam-5928	464	43	˜̃∪	˜̃∪	PROPN
ejpam-5928	464	44	(	(	PUNCT
ejpam-5928	464	45	ζ̈2	ζ̈2	PROPN
ejpam-5928	464	46	,	,	PUNCT
ejpam-5928	464	47	λ̈2	λ̈2	NOUN
ejpam-5928	464	48	,	,	PUNCT
ejpam-5928	464	49	µ	µ	NOUN
ejpam-5928	464	50	)	)	PUNCT
ejpam-5928	464	51	where	where	SCONJ
ejpam-5928	464	52	(	(	PUNCT
ejpam-5928	464	53	ζ̈1	ζ̈1	ADJ
ejpam-5928	464	54	,	,	PUNCT
ejpam-5928	464	55	λ̈1	λ̈1	PROPN
ejpam-5928	464	56	,	,	PUNCT
ejpam-5928	464	57	µ	µ	NOUN
ejpam-5928	464	58	)	)	PUNCT
ejpam-5928	464	59	and	and	CCONJ
ejpam-5928	464	60	(	(	PUNCT
ejpam-5928	464	61	ζ̈2	ζ̈2	PROPN
ejpam-5928	464	62	,	,	PUNCT
ejpam-5928	464	63	λ̈2	λ̈2	NOUN
ejpam-5928	464	64	,	,	PUNCT
ejpam-5928	464	65	µ	µ	NOUN
ejpam-5928	464	66	)	)	PUNCT
ejpam-5928	464	67	are	be	AUX
ejpam-5928	464	68	both	both	PRON
ejpam-5928	464	69	bs	bs	ADJ
ejpam-5928	464	70	˜̃m	˜̃m	ADV
ejpam-5928	464	71	-	-	PUNCT
ejpam-5928	464	72	closed	closed	ADJ
ejpam-5928	464	73	and	and	CCONJ
ejpam-5928	464	74	nonnull	nonnull	NOUN
ejpam-5928	464	75	disjoint	disjoint	PROPN
ejpam-5928	464	76	bsss	bsss	PROPN
ejpam-5928	464	77	.	.	PUNCT
ejpam-5928	465	1	then	then	ADV
ejpam-5928	465	2	,	,	PUNCT
ejpam-5928	465	3	(	(	PUNCT
ejpam-5928	465	4	ζ̈1	ζ̈1	ADJ
ejpam-5928	465	5	,	,	PUNCT
ejpam-5928	465	6	λ̈1	λ̈1	PROPN
ejpam-5928	465	7	,	,	PUNCT
ejpam-5928	465	8	µ	µ	NOUN
ejpam-5928	465	9	)	)	PUNCT
ejpam-5928	465	10	and	and	CCONJ
ejpam-5928	465	11	(	(	PUNCT
ejpam-5928	465	12	ζ̈2	ζ̈2	PROPN
ejpam-5928	465	13	,	,	PUNCT
ejpam-5928	465	14	λ̈2	λ̈2	NOUN
ejpam-5928	465	15	,	,	PUNCT
ejpam-5928	465	16	µ	µ	NOUN
ejpam-5928	465	17	)	)	PUNCT
ejpam-5928	465	18	are	be	AUX
ejpam-5928	465	19	˜̃m	˜̃m	ADV
ejpam-5928	465	20	-	-	PUNCT
ejpam-5928	465	21	separated	separate	VERB
ejpam-5928	465	22	bsss	bsss	NOUN
ejpam-5928	465	23	.	.	PUNCT
ejpam-5928	466	1	proof	proof	NOUN
ejpam-5928	466	2	.	.	PUNCT
ejpam-5928	466	3	follows	follow	VERB
ejpam-5928	466	4	directly	directly	ADV
ejpam-5928	466	5	from	from	ADP
ejpam-5928	466	6	proposition	proposition	NOUN
ejpam-5928	466	7	7	7	NUM
ejpam-5928	466	8	and	and	CCONJ
ejpam-5928	466	9	theorem	theorem	VERB
ejpam-5928	466	10	10	10	NUM
ejpam-5928	466	11	.	.	PUNCT
ejpam-5928	467	1	proposition	proposition	NOUN
ejpam-5928	467	2	13	13	NUM
ejpam-5928	467	3	.	.	PUNCT
ejpam-5928	468	1	for	for	ADP
ejpam-5928	468	2	each	each	DET
ejpam-5928	468	3	two	two	NUM
ejpam-5928	468	4	αϑ	αϑ	ADP
ejpam-5928	468	5	β	β	NOUN
ejpam-5928	468	6	,	,	PUNCT
ejpam-5928	468	7	α′µ′	α′µ′	PROPN
ejpam-5928	468	8	β′	β′	NUM
ejpam-5928	468	9	˜̃∈	˜̃∈	PROPN
ejpam-5928	468	10	bsp(π)(µ,¬µ	bsp(π)(µ,¬µ	NUM
ejpam-5928	468	11	)	)	PUNCT
ejpam-5928	468	12	of	of	ADP
ejpam-5928	468	13	a	a	DET
ejpam-5928	468	14	bsms	bsms	NOUN
ejpam-5928	468	15	(	(	PUNCT
ejpam-5928	468	16	π	π	PROPN
ejpam-5928	468	17	,	,	PUNCT
ejpam-5928	468	18	˜̃m	˜̃m	PROPN
ejpam-5928	468	19	,	,	PUNCT
ejpam-5928	468	20	µ,¬µ	µ,¬µ	ADJ
ejpam-5928	468	21	)	)	PUNCT
ejpam-5928	468	22	are	be	AUX
ejpam-5928	468	23	bs˜̃m	bs˜̃m	NOUN
ejpam-5928	468	24	-	-	PUNCT
ejpam-5928	468	25	connected	connect	VERB
ejpam-5928	468	26	,	,	PUNCT
ejpam-5928	468	27	then	then	ADV
ejpam-5928	468	28	(	(	PUNCT
ejpam-5928	468	29	π	π	PROPN
ejpam-5928	468	30	,	,	PUNCT
ejpam-5928	468	31	˜̃m	˜̃m	PROPN
ejpam-5928	468	32	,	,	PUNCT
ejpam-5928	468	33	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	468	34	)	)	PUNCT
ejpam-5928	468	35	is	be	AUX
ejpam-5928	468	36	bs	bs	ADJ
ejpam-5928	468	37	˜̃m	˜̃m	ADV
ejpam-5928	468	38	-	-	PUNCT
ejpam-5928	468	39	connected	connect	VERB
ejpam-5928	468	40	.	.	PUNCT
ejpam-5928	469	1	proof	proof	NOUN
ejpam-5928	469	2	.	.	PUNCT
ejpam-5928	470	1	let	let	VERB
ejpam-5928	470	2	αϑ	αϑ	PRON
ejpam-5928	470	3	β	β	PART
ejpam-5928	470	4	be	be	AUX
ejpam-5928	470	5	a	a	DET
ejpam-5928	470	6	fixed	fix	VERB
ejpam-5928	470	7	bsp	bsp	NOUN
ejpam-5928	470	8	in	in	ADP
ejpam-5928	470	9	a	a	DET
ejpam-5928	470	10	bsms	bsms	NOUN
ejpam-5928	470	11	(	(	PUNCT
ejpam-5928	470	12	π	π	PROPN
ejpam-5928	470	13	,	,	PUNCT
ejpam-5928	470	14	˜̃m	˜̃m	PROPN
ejpam-5928	470	15	,	,	PUNCT
ejpam-5928	470	16	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	470	17	)	)	PUNCT
ejpam-5928	470	18	.	.	PUNCT
ejpam-5928	471	1	then	then	ADV
ejpam-5928	471	2	,	,	PUNCT
ejpam-5928	471	3	for	for	ADP
ejpam-5928	471	4	each	each	DET
ejpam-5928	471	5	αϑ	αϑ	ADP
ejpam-5928	471	6	β	β	NOUN
ejpam-5928	471	7	bs	bs	NOUN
ejpam-5928	471	8	different	different	ADJ
ejpam-5928	471	9	than	than	ADP
ejpam-5928	471	10	α′µ′	α′µ′	PROPN
ejpam-5928	471	11	β′	β′	NUM
ejpam-5928	471	12	,	,	PUNCT
ejpam-5928	471	13	we	we	PRON
ejpam-5928	471	14	have	have	VERB
ejpam-5928	471	15	bs	bs	ADJ
ejpam-5928	471	16	˜̃m	˜̃m	ADV
ejpam-5928	471	17	-	-	PUNCT
ejpam-5928	471	18	connected	connect	VERB
ejpam-5928	471	19	,	,	PUNCT
ejpam-5928	471	20	say	say	INTJ
ejpam-5928	471	21	,	,	PUNCT
ejpam-5928	471	22	(	(	PUNCT
ejpam-5928	471	23	ζ̈	ζ̈	NOUN
ejpam-5928	471	24	,	,	PUNCT
ejpam-5928	471	25	λ̈	λ̈	NOUN
ejpam-5928	471	26	,	,	PUNCT
ejpam-5928	471	27	µ	µ	NOUN
ejpam-5928	471	28	)	)	PUNCT
ejpam-5928	471	29	containing	contain	VERB
ejpam-5928	471	30	αϑ	αϑ	ADP
ejpam-5928	471	31	β	β	NOUN
ejpam-5928	471	32	and	and	CCONJ
ejpam-5928	471	33	α′µ′	α′µ′	PROPN
ejpam-5928	471	34	β′	β′	PUNCT
ejpam-5928	471	35	.	.	PUNCT
ejpam-5928	472	1	since	since	SCONJ
ejpam-5928	472	2	αϑ	αϑ	ADP
ejpam-5928	472	3	β	β	NOUN
ejpam-5928	472	4	˜̃∈˜̃⋂	˜̃∈˜̃⋂	NOUN
ejpam-5928	472	5	αϑ	αϑ	ADP
ejpam-5928	472	6	β	β	X
ejpam-5928	472	7	˜̃∈	˜̃∈	PROPN
ejpam-5928	472	8	(	(	PUNCT
ejpam-5928	472	9	˜̃π	˜̃π	NOUN
ejpam-5928	472	10	,	,	PUNCT
ejpam-5928	472	11	φ,µ	φ,µ	NOUN
ejpam-5928	472	12	)	)	PUNCT
ejpam-5928	472	13	(	(	PUNCT
ejpam-5928	472	14	ζ̈	ζ̈	PROPN
ejpam-5928	472	15	,	,	PUNCT
ejpam-5928	472	16	λ̈	λ̈	NOUN
ejpam-5928	472	17	,	,	PUNCT
ejpam-5928	472	18	µ	µ	NOUN
ejpam-5928	472	19	)	)	PUNCT
ejpam-5928	472	20	,	,	PUNCT
ejpam-5928	472	21	it	it	PRON
ejpam-5928	472	22	follows	follow	VERB
ejpam-5928	472	23	from	from	ADP
ejpam-5928	472	24	proposition	proposition	NOUN
ejpam-5928	472	25	9	9	NUM
ejpam-5928	472	26	that	that	DET
ejpam-5928	472	27	˜̃⋃	˜̃⋃	NOUN
ejpam-5928	472	28	αϑ	αϑ	ADP
ejpam-5928	472	29	β	β	X
ejpam-5928	472	30	˜̃∈	˜̃∈	PROPN
ejpam-5928	472	31	(	(	PUNCT
ejpam-5928	472	32	˜̃π	˜̃π	NOUN
ejpam-5928	472	33	,	,	PUNCT
ejpam-5928	472	34	φ,µ	φ,µ	NOUN
ejpam-5928	472	35	)	)	PUNCT
ejpam-5928	472	36	(	(	PUNCT
ejpam-5928	472	37	ζ̈	ζ̈	PROPN
ejpam-5928	472	38	,	,	PUNCT
ejpam-5928	472	39	λ̈	λ̈	NOUN
ejpam-5928	472	40	,	,	PUNCT
ejpam-5928	472	41	µ	µ	NOUN
ejpam-5928	472	42	)	)	PUNCT
ejpam-5928	472	43	=	=	SYM
ejpam-5928	472	44	(	(	PUNCT
ejpam-5928	472	45	˜̃	˜̃	NOUN
ejpam-5928	472	46	π	π	PROPN
ejpam-5928	472	47	,	,	PUNCT
ejpam-5928	472	48	φ	φ	PROPN
ejpam-5928	472	49	,	,	PUNCT
ejpam-5928	472	50	µ	µ	NOUN
ejpam-5928	472	51	)	)	PUNCT
ejpam-5928	472	52	is	be	AUX
ejpam-5928	472	53	bs	bs	ADJ
ejpam-5928	472	54	˜̃m	˜̃m	ADV
ejpam-5928	472	55	-	-	PUNCT
ejpam-5928	472	56	connected	connect	VERB
ejpam-5928	472	57	.	.	PUNCT
ejpam-5928	473	1	r.	r.	PROPN
ejpam-5928	473	2	a.	a.	PROPN
ejpam-5928	473	3	mohammed	mohammed	PROPN
ejpam-5928	473	4	/	/	SYM
ejpam-5928	473	5	eur	eur	PROPN
ejpam-5928	473	6	.	.	PUNCT
ejpam-5928	474	1	j.	j.	PROPN
ejpam-5928	474	2	pure	pure	PROPN
ejpam-5928	474	3	appl	appl	PROPN
ejpam-5928	474	4	.	.	PROPN
ejpam-5928	474	5	math	math	PROPN
ejpam-5928	474	6	,	,	PUNCT
ejpam-5928	474	7	18	18	NUM
ejpam-5928	474	8	(	(	PUNCT
ejpam-5928	474	9	2	2	NUM
ejpam-5928	474	10	)	)	PUNCT
ejpam-5928	474	11	(	(	PUNCT
ejpam-5928	474	12	2025	2025	NUM
ejpam-5928	474	13	)	)	PUNCT
ejpam-5928	474	14	,	,	PUNCT
ejpam-5928	474	15	5928	5928	NUM
ejpam-5928	474	16	18	18	NUM
ejpam-5928	474	17	of	of	ADP
ejpam-5928	474	18	26	26	NUM
ejpam-5928	474	19	5	5	NUM
ejpam-5928	474	20	.	.	PUNCT
ejpam-5928	475	1	bs	bs	PROPN
ejpam-5928	475	2	˜̃m	˜̃m	ADV
ejpam-5928	475	3	-	-	PUNCT
ejpam-5928	475	4	connected	connect	VERB
ejpam-5928	475	5	spaces	space	NOUN
ejpam-5928	475	6	this	this	DET
ejpam-5928	475	7	section	section	NOUN
ejpam-5928	475	8	presents	present	VERB
ejpam-5928	475	9	the	the	DET
ejpam-5928	475	10	concept	concept	NOUN
ejpam-5928	475	11	of	of	ADP
ejpam-5928	475	12	bipolar	bipolar	ADJ
ejpam-5928	475	13	soft	soft	ADJ
ejpam-5928	475	14	minimal	minimal	ADJ
ejpam-5928	475	15	connected	connect	VERB
ejpam-5928	475	16	(	(	PUNCT
ejpam-5928	475	17	bs	bs	PROPN
ejpam-5928	475	18	˜̃m	˜̃m	ADV
ejpam-5928	475	19	-	-	PUNCT
ejpam-5928	475	20	connected	connect	VERB
ejpam-5928	475	21	)	)	PUNCT
ejpam-5928	475	22	space	space	NOUN
ejpam-5928	475	23	.	.	PUNCT
ejpam-5928	476	1	also	also	ADV
ejpam-5928	476	2	,	,	PUNCT
ejpam-5928	476	3	it	it	PRON
ejpam-5928	476	4	discusses	discuss	VERB
ejpam-5928	476	5	some	some	DET
ejpam-5928	476	6	properties	property	NOUN
ejpam-5928	476	7	and	and	CCONJ
ejpam-5928	476	8	results	result	NOUN
ejpam-5928	476	9	of	of	ADP
ejpam-5928	476	10	this	this	DET
ejpam-5928	476	11	new	new	ADJ
ejpam-5928	476	12	concept	concept	NOUN
ejpam-5928	476	13	of	of	ADP
ejpam-5928	476	14	bsms	bsm	NOUN
ejpam-5928	476	15	.	.	PUNCT
ejpam-5928	477	1	definition	definition	NOUN
ejpam-5928	477	2	22	22	NUM
ejpam-5928	477	3	.	.	PUNCT
ejpam-5928	478	1	let	let	VERB
ejpam-5928	478	2	(	(	PUNCT
ejpam-5928	478	3	π	π	PROPN
ejpam-5928	478	4	,	,	PUNCT
ejpam-5928	478	5	˜̃m	˜̃m	PROPN
ejpam-5928	478	6	,	,	PUNCT
ejpam-5928	478	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	478	8	)	)	PUNCT
ejpam-5928	478	9	be	be	VERB
ejpam-5928	478	10	a	a	DET
ejpam-5928	478	11	bsms	bsms	NOUN
ejpam-5928	478	12	.	.	PUNCT
ejpam-5928	479	1	a	a	DET
ejpam-5928	479	2	bs	bs	PROPN
ejpam-5928	479	3	˜̃m	˜̃m	ADJ
ejpam-5928	479	4	-	-	PUNCT
ejpam-5928	479	5	separation	separation	NOUN
ejpam-5928	479	6	of	of	ADP
ejpam-5928	479	7	(	(	PUNCT
ejpam-5928	479	8	˜̃	˜̃	NOUN
ejpam-5928	479	9	π	π	PROPN
ejpam-5928	479	10	,	,	PUNCT
ejpam-5928	479	11	φ	φ	PROPN
ejpam-5928	479	12	,	,	PUNCT
ejpam-5928	479	13	µ	µ	NOUN
ejpam-5928	479	14	)	)	PUNCT
ejpam-5928	479	15	is	be	AUX
ejpam-5928	479	16	defined	define	VERB
ejpam-5928	479	17	to	to	PART
ejpam-5928	479	18	be	be	AUX
ejpam-5928	479	19	the	the	DET
ejpam-5928	479	20	nonnull	nonnull	NOUN
ejpam-5928	479	21	disjoint	disjoint	NOUN
ejpam-5928	479	22	bs	bs	ADP
ejpam-5928	479	23	˜̃m	˜̃m	ADV
ejpam-5928	479	24	-	-	PUNCT
ejpam-5928	479	25	open	open	ADJ
ejpam-5928	479	26	sets	set	NOUN
ejpam-5928	479	27	(	(	PUNCT
ejpam-5928	479	28	ζ̈1	ζ̈1	ADJ
ejpam-5928	479	29	,	,	PUNCT
ejpam-5928	479	30	λ̈1	λ̈1	PROPN
ejpam-5928	479	31	,	,	PUNCT
ejpam-5928	479	32	µ	µ	NOUN
ejpam-5928	479	33	)	)	PUNCT
ejpam-5928	479	34	and	and	CCONJ
ejpam-5928	479	35	(	(	PUNCT
ejpam-5928	479	36	ζ̈2	ζ̈2	PROPN
ejpam-5928	479	37	,	,	PUNCT
ejpam-5928	479	38	λ̈2	λ̈2	NOUN
ejpam-5928	479	39	,	,	PUNCT
ejpam-5928	479	40	µ	µ	NOUN
ejpam-5928	479	41	)	)	PUNCT
ejpam-5928	479	42	s.	s.	PROPN
ejpam-5928	479	43	t.	t.	PROPN
ejpam-5928	479	44	ζ̈1(ϑ	ζ̈1(ϑ	PROPN
ejpam-5928	479	45	)	)	PUNCT
ejpam-5928	479	46	∪	∪	NOUN
ejpam-5928	479	47	ζ̈1(ϑ	ζ̈1(ϑ	NOUN
ejpam-5928	479	48	)	)	PUNCT
ejpam-5928	479	49	=	=	PUNCT
ejpam-5928	480	1	π	π	PROPN
ejpam-5928	480	2	for	for	ADP
ejpam-5928	480	3	each	each	DET
ejpam-5928	480	4	ϑ	ϑ	X
ejpam-5928	480	5	∈	∈	PROPN
ejpam-5928	480	6	µ.	µ.	NOUN
ejpam-5928	480	7	definition	definition	NOUN
ejpam-5928	480	8	23	23	NUM
ejpam-5928	480	9	.	.	PUNCT
ejpam-5928	481	1	a	a	DET
ejpam-5928	481	2	bsms	bsms	NOUN
ejpam-5928	481	3	(	(	PUNCT
ejpam-5928	481	4	π	π	PROPN
ejpam-5928	481	5	,	,	PUNCT
ejpam-5928	481	6	˜̃m	˜̃m	PROPN
ejpam-5928	481	7	,	,	PUNCT
ejpam-5928	481	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	481	9	)	)	PUNCT
ejpam-5928	481	10	is	be	AUX
ejpam-5928	481	11	called	call	VERB
ejpam-5928	481	12	bs	bs	ADJ
ejpam-5928	481	13	˜̃m	˜̃m	ADV
ejpam-5928	481	14	-	-	PUNCT
ejpam-5928	481	15	connected	connect	VERB
ejpam-5928	481	16	if	if	SCONJ
ejpam-5928	481	17	(	(	PUNCT
ejpam-5928	481	18	˜̃	˜̃	NOUN
ejpam-5928	481	19	π	π	PROPN
ejpam-5928	481	20	,	,	PUNCT
ejpam-5928	481	21	φ	φ	PROPN
ejpam-5928	481	22	,	,	PUNCT
ejpam-5928	481	23	µ	µ	NOUN
ejpam-5928	481	24	)	)	PUNCT
ejpam-5928	481	25	has	have	VERB
ejpam-5928	481	26	no	no	DET
ejpam-5928	481	27	bs	bs	NOUN
ejpam-5928	481	28	˜̃mseparation	˜̃mseparation	PROPN
ejpam-5928	481	29	.	.	PUNCT
ejpam-5928	482	1	that	that	PRON
ejpam-5928	482	2	is	be	AUX
ejpam-5928	482	3	,	,	PUNCT
ejpam-5928	482	4	there	there	PRON
ejpam-5928	482	5	exist	exist	VERB
ejpam-5928	482	6	no	no	DET
ejpam-5928	482	7	nonnull	nonnull	NOUN
ejpam-5928	482	8	disjoint	disjoint	NOUN
ejpam-5928	482	9	bs	bs	ADP
ejpam-5928	482	10	˜̃m	˜̃m	ADV
ejpam-5928	482	11	-	-	PUNCT
ejpam-5928	482	12	open	open	ADJ
ejpam-5928	482	13	sets	set	NOUN
ejpam-5928	482	14	(	(	PUNCT
ejpam-5928	482	15	ζ̈1	ζ̈1	ADJ
ejpam-5928	482	16	,	,	PUNCT
ejpam-5928	482	17	λ̈1	λ̈1	PROPN
ejpam-5928	482	18	,	,	PUNCT
ejpam-5928	482	19	µ	µ	NOUN
ejpam-5928	482	20	)	)	PUNCT
ejpam-5928	482	21	and	and	CCONJ
ejpam-5928	482	22	(	(	PUNCT
ejpam-5928	482	23	ζ̈2	ζ̈2	PROPN
ejpam-5928	482	24	,	,	PUNCT
ejpam-5928	482	25	λ̈2	λ̈2	NOUN
ejpam-5928	482	26	,	,	PUNCT
ejpam-5928	482	27	µ	µ	NOUN
ejpam-5928	482	28	)	)	PUNCT
ejpam-5928	482	29	s.	s.	PROPN
ejpam-5928	482	30	t.	t.	PROPN
ejpam-5928	482	31	ζ̈1(µ	ζ̈1(µ	PROPN
ejpam-5928	482	32	)	)	PUNCT
ejpam-5928	482	33	∪	∪	ADP
ejpam-5928	482	34	ζ̈2(µ	ζ̈2(µ	NOUN
ejpam-5928	482	35	)	)	PUNCT
ejpam-5928	482	36	=	=	PUNCT
ejpam-5928	483	1	π	π	X
ejpam-5928	483	2	for	for	ADP
ejpam-5928	483	3	all	all	DET
ejpam-5928	483	4	µ	µ	PRON
ejpam-5928	483	5	∈	∈	NOUN
ejpam-5928	483	6	µ.	µ.	NOUN
ejpam-5928	483	7	otherwise	otherwise	ADV
ejpam-5928	483	8	,	,	PUNCT
ejpam-5928	483	9	(	(	PUNCT
ejpam-5928	483	10	π	π	NOUN
ejpam-5928	483	11	,	,	PUNCT
ejpam-5928	483	12	˜̃m	˜̃m	PROPN
ejpam-5928	483	13	,	,	PUNCT
ejpam-5928	483	14	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	483	15	)	)	PUNCT
ejpam-5928	483	16	is	be	AUX
ejpam-5928	483	17	said	say	VERB
ejpam-5928	483	18	to	to	PART
ejpam-5928	483	19	be	be	AUX
ejpam-5928	483	20	bs	bs	PROPN
ejpam-5928	483	21	˜̃mdisconnected	˜̃mdisconnected	PROPN
ejpam-5928	483	22	.	.	PUNCT
ejpam-5928	484	1	note	note	VERB
ejpam-5928	484	2	that	that	SCONJ
ejpam-5928	484	3	if	if	SCONJ
ejpam-5928	484	4	|	|	ADV
ejpam-5928	484	5	π	π	X
ejpam-5928	484	6	|=	|=	PUNCT
ejpam-5928	484	7	1	1	NUM
ejpam-5928	484	8	,	,	PUNCT
ejpam-5928	484	9	there	there	PRON
ejpam-5928	484	10	are	be	VERB
ejpam-5928	484	11	only	only	ADV
ejpam-5928	484	12	two	two	NUM
ejpam-5928	484	13	bsms	bsm	NOUN
ejpam-5928	484	14	in	in	ADP
ejpam-5928	484	15	π	π	PROPN
ejpam-5928	484	16	(	(	PUNCT
ejpam-5928	484	17	that	that	PRON
ejpam-5928	484	18	is	is	ADV
ejpam-5928	484	19	,	,	PUNCT
ejpam-5928	484	20	(	(	PUNCT
ejpam-5928	484	21	φ	φ	NOUN
ejpam-5928	484	22	,	,	PUNCT
ejpam-5928	484	23	˜̃	˜̃	NOUN
ejpam-5928	484	24	π	π	PROPN
ejpam-5928	484	25	,	,	PUNCT
ejpam-5928	484	26	µ	µ	NOUN
ejpam-5928	484	27	)	)	PUNCT
ejpam-5928	484	28	,	,	PUNCT
ejpam-5928	484	29	(	(	PUNCT
ejpam-5928	484	30	˜̃	˜̃	NOUN
ejpam-5928	484	31	π	π	PROPN
ejpam-5928	484	32	,	,	PUNCT
ejpam-5928	484	33	φ	φ	PROPN
ejpam-5928	484	34	,	,	PUNCT
ejpam-5928	484	35	µ	µ	NOUN
ejpam-5928	484	36	)	)	PUNCT
ejpam-5928	484	37	)	)	PUNCT
ejpam-5928	484	38	are	be	AUX
ejpam-5928	484	39	a	a	DET
ejpam-5928	484	40	bs	bs	NOUN
ejpam-5928	484	41	˜̃m	˜̃m	ADV
ejpam-5928	484	42	-	-	PUNCT
ejpam-5928	484	43	connected	connect	VERB
ejpam-5928	484	44	space	space	NOUN
ejpam-5928	484	45	.	.	PUNCT
ejpam-5928	485	1	hence	hence	ADV
ejpam-5928	485	2	,	,	PUNCT
ejpam-5928	485	3	we	we	PRON
ejpam-5928	485	4	suppose	suppose	VERB
ejpam-5928	485	5	|	|	ADV
ejpam-5928	485	6	π	π	PROPN
ejpam-5928	485	7	|	|	ADV
ejpam-5928	485	8	>	>	X
ejpam-5928	485	9	1	1	NUM
ejpam-5928	485	10	.	.	PUNCT
ejpam-5928	485	11	example	example	NOUN
ejpam-5928	486	1	7	7	NUM
ejpam-5928	486	2	.	.	PUNCT
ejpam-5928	486	3	let	let	VERB
ejpam-5928	486	4	π	π	NOUN
ejpam-5928	486	5	=	=	PUNCT
ejpam-5928	486	6	{	{	PUNCT
ejpam-5928	486	7	ϵ1	ϵ1	ADJ
ejpam-5928	486	8	,	,	PUNCT
ejpam-5928	486	9	ϵ2	ϵ2	ADJ
ejpam-5928	486	10	,	,	PUNCT
ejpam-5928	486	11	ϵ3	ϵ3	PROPN
ejpam-5928	486	12	,	,	PUNCT
ejpam-5928	486	13	ϵ4	ϵ4	PROPN
ejpam-5928	486	14	}	}	PUNCT
ejpam-5928	486	15	,	,	PUNCT
ejpam-5928	486	16	µ	µ	X
ejpam-5928	486	17	=	=	SYM
ejpam-5928	486	18	{	{	PUNCT
ejpam-5928	486	19	ϑ1	ϑ1	NOUN
ejpam-5928	486	20	,	,	PUNCT
ejpam-5928	486	21	ϑ2	ϑ2	PROPN
ejpam-5928	486	22	,	,	PUNCT
ejpam-5928	486	23	ϑ3	ϑ3	NOUN
ejpam-5928	486	24	}	}	PUNCT
ejpam-5928	486	25	and	and	CCONJ
ejpam-5928	486	26	µ	µ	PROPN
ejpam-5928	486	27	=	=	SYM
ejpam-5928	486	28	{	{	PUNCT
ejpam-5928	486	29	¬ϑ1,¬ϑ2,¬ϑ3	¬ϑ1,¬ϑ2,¬ϑ3	NOUN
ejpam-5928	486	30	}	}	PUNCT
ejpam-5928	486	31	.	.	PUNCT
ejpam-5928	487	1	suppose	suppose	VERB
ejpam-5928	487	2	that	that	SCONJ
ejpam-5928	487	3	˜̃m	˜̃m	PROPN
ejpam-5928	487	4	=	=	PUNCT
ejpam-5928	487	5	{	{	PUNCT
ejpam-5928	487	6	(	(	PUNCT
ejpam-5928	487	7	˜̃π	˜̃π	NOUN
ejpam-5928	487	8	,	,	PUNCT
ejpam-5928	487	9	φ	φ	PROPN
ejpam-5928	487	10	,	,	PUNCT
ejpam-5928	487	11	µ	µ	NOUN
ejpam-5928	487	12	)	)	PUNCT
ejpam-5928	487	13	,	,	PUNCT
ejpam-5928	487	14	(	(	PUNCT
ejpam-5928	487	15	φ	φ	NOUN
ejpam-5928	487	16	,	,	PUNCT
ejpam-5928	487	17	˜̃	˜̃	NOUN
ejpam-5928	487	18	π	π	PROPN
ejpam-5928	487	19	,	,	PUNCT
ejpam-5928	487	20	µ	µ	NOUN
ejpam-5928	487	21	)	)	PUNCT
ejpam-5928	487	22	,	,	PUNCT
ejpam-5928	487	23	(	(	PUNCT
ejpam-5928	487	24	ζ̈1	ζ̈1	ADJ
ejpam-5928	487	25	,	,	PUNCT
ejpam-5928	487	26	λ̈1	λ̈1	PROPN
ejpam-5928	487	27	,	,	PUNCT
ejpam-5928	487	28	µ	µ	NOUN
ejpam-5928	487	29	)	)	PUNCT
ejpam-5928	487	30	,	,	PUNCT
ejpam-5928	487	31	(	(	PUNCT
ejpam-5928	487	32	ζ̈2	ζ̈2	PROPN
ejpam-5928	487	33	,	,	PUNCT
ejpam-5928	487	34	λ̈2	λ̈2	NOUN
ejpam-5928	487	35	,	,	PUNCT
ejpam-5928	487	36	µ	µ	NOUN
ejpam-5928	487	37	)	)	PUNCT
ejpam-5928	487	38	,	,	PUNCT
ejpam-5928	487	39	(	(	PUNCT
ejpam-5928	487	40	ζ̈3	ζ̈3	PROPN
ejpam-5928	487	41	,	,	PUNCT
ejpam-5928	487	42	λ̈3	λ̈3	NOUN
ejpam-5928	487	43	,	,	PUNCT
ejpam-5928	487	44	µ	µ	NOUN
ejpam-5928	487	45	)	)	PUNCT
ejpam-5928	487	46	}	}	PUNCT
ejpam-5928	487	47	where	where	SCONJ
ejpam-5928	487	48	(	(	PUNCT
ejpam-5928	487	49	ζ̈1	ζ̈1	ADJ
ejpam-5928	487	50	,	,	PUNCT
ejpam-5928	487	51	λ̈1	λ̈1	PROPN
ejpam-5928	487	52	,	,	PUNCT
ejpam-5928	487	53	µ	µ	NOUN
ejpam-5928	487	54	)	)	PUNCT
ejpam-5928	487	55	,	,	PUNCT
ejpam-5928	487	56	(	(	PUNCT
ejpam-5928	487	57	ζ̈2	ζ̈2	PROPN
ejpam-5928	487	58	,	,	PUNCT
ejpam-5928	487	59	λ̈2	λ̈2	NOUN
ejpam-5928	487	60	,	,	PUNCT
ejpam-5928	487	61	µ	µ	NOUN
ejpam-5928	487	62	)	)	PUNCT
ejpam-5928	487	63	,	,	PUNCT
ejpam-5928	487	64	(	(	PUNCT
ejpam-5928	487	65	ζ̈3	ζ̈3	PROPN
ejpam-5928	487	66	,	,	PUNCT
ejpam-5928	487	67	λ̈3	λ̈3	NOUN
ejpam-5928	487	68	,	,	PUNCT
ejpam-5928	487	69	µ	µ	NOUN
ejpam-5928	487	70	)	)	PUNCT
ejpam-5928	487	71	˜̃∈	˜̃∈	PROPN
ejpam-5928	487	72	bss(π	bss(π	PROPN
ejpam-5928	487	73	)	)	PUNCT
ejpam-5928	487	74	defined	define	VERB
ejpam-5928	487	75	as	as	SCONJ
ejpam-5928	487	76	follows	follow	VERB
ejpam-5928	487	77	:	:	PUNCT
ejpam-5928	487	78	(	(	PUNCT
ejpam-5928	487	79	ζ̈1	ζ̈1	ADJ
ejpam-5928	487	80	,	,	PUNCT
ejpam-5928	487	81	λ̈1	λ̈1	PROPN
ejpam-5928	487	82	,	,	PUNCT
ejpam-5928	487	83	µ	µ	NOUN
ejpam-5928	487	84	)	)	PUNCT
ejpam-5928	487	85	=	=	PRON
ejpam-5928	487	86	{	{	PUNCT
ejpam-5928	487	87	(	(	PUNCT
ejpam-5928	487	88	ϑ1	ϑ1	NOUN
ejpam-5928	487	89	,	,	PUNCT
ejpam-5928	487	90	{	{	PUNCT
ejpam-5928	487	91	ϵ1	ϵ1	ADJ
ejpam-5928	487	92	,	,	PUNCT
ejpam-5928	487	93	ϵ3	ϵ3	PROPN
ejpam-5928	487	94	}	}	PUNCT
ejpam-5928	487	95	,	,	PUNCT
ejpam-5928	487	96	{	{	PUNCT
ejpam-5928	487	97	ϵ2	ϵ2	NOUN
ejpam-5928	487	98	}	}	PUNCT
ejpam-5928	487	99	)	)	PUNCT
ejpam-5928	487	100	,	,	PUNCT
ejpam-5928	487	101	(	(	PUNCT
ejpam-5928	487	102	ϑ2	ϑ2	NOUN
ejpam-5928	487	103	,	,	PUNCT
ejpam-5928	487	104	{	{	PUNCT
ejpam-5928	487	105	ϵ2	ϵ2	ADJ
ejpam-5928	487	106	,	,	PUNCT
ejpam-5928	487	107	ϵ3	ϵ3	PROPN
ejpam-5928	487	108	}	}	PUNCT
ejpam-5928	487	109	,	,	PUNCT
ejpam-5928	487	110	{	{	PUNCT
ejpam-5928	487	111	ϵ1	ϵ1	ADJ
ejpam-5928	487	112	,	,	PUNCT
ejpam-5928	487	113	ϵ4	ϵ4	NOUN
ejpam-5928	487	114	}	}	PUNCT
ejpam-5928	487	115	)	)	PUNCT
ejpam-5928	487	116	,	,	PUNCT
ejpam-5928	487	117	(	(	PUNCT
ejpam-5928	487	118	ϑ3	ϑ3	PROPN
ejpam-5928	487	119	,	,	PUNCT
ejpam-5928	487	120	{	{	PUNCT
ejpam-5928	487	121	ϵ1	ϵ1	ADJ
ejpam-5928	487	122	,	,	PUNCT
ejpam-5928	487	123	ϵ2	ϵ2	ADJ
ejpam-5928	487	124	}	}	PUNCT
ejpam-5928	487	125	,	,	PUNCT
ejpam-5928	487	126	{	{	PUNCT
ejpam-5928	487	127	ϵ3	ϵ3	PROPN
ejpam-5928	487	128	}	}	PUNCT
ejpam-5928	487	129	)	)	PUNCT
ejpam-5928	487	130	}	}	PUNCT
ejpam-5928	487	131	,	,	PUNCT
ejpam-5928	487	132	(	(	PUNCT
ejpam-5928	487	133	ζ̈2	ζ̈2	PROPN
ejpam-5928	487	134	,	,	PUNCT
ejpam-5928	487	135	λ̈2	λ̈2	NOUN
ejpam-5928	487	136	,	,	PUNCT
ejpam-5928	487	137	µ	µ	NOUN
ejpam-5928	487	138	)	)	PUNCT
ejpam-5928	487	139	=	=	PRON
ejpam-5928	487	140	{	{	PUNCT
ejpam-5928	487	141	(	(	PUNCT
ejpam-5928	487	142	ϑ1	ϑ1	NOUN
ejpam-5928	487	143	,	,	PUNCT
ejpam-5928	487	144	{	{	PUNCT
ejpam-5928	487	145	ϵ3	ϵ3	PROPN
ejpam-5928	487	146	,	,	PUNCT
ejpam-5928	487	147	ϵ4	ϵ4	PROPN
ejpam-5928	487	148	}	}	PUNCT
ejpam-5928	487	149	,	,	PUNCT
ejpam-5928	487	150	{	{	PUNCT
ejpam-5928	487	151	ϵ1	ϵ1	ADJ
ejpam-5928	487	152	,	,	PUNCT
ejpam-5928	487	153	ϵ2	ϵ2	ADJ
ejpam-5928	487	154	}	}	PUNCT
ejpam-5928	487	155	)	)	PUNCT
ejpam-5928	487	156	,	,	PUNCT
ejpam-5928	487	157	(	(	PUNCT
ejpam-5928	487	158	ϑ2	ϑ2	NOUN
ejpam-5928	487	159	,	,	PUNCT
ejpam-5928	487	160	{	{	PUNCT
ejpam-5928	487	161	ϵ1	ϵ1	ADJ
ejpam-5928	487	162	,	,	PUNCT
ejpam-5928	487	163	ϵ2	ϵ2	ADJ
ejpam-5928	487	164	,	,	PUNCT
ejpam-5928	487	165	ϵ3	ϵ3	PROPN
ejpam-5928	487	166	}	}	PUNCT
ejpam-5928	487	167	,	,	PUNCT
ejpam-5928	487	168	{	{	PUNCT
ejpam-5928	487	169	ϵ4	ϵ4	NOUN
ejpam-5928	487	170	}	}	PUNCT
ejpam-5928	487	171	)	)	PUNCT
ejpam-5928	487	172	,	,	PUNCT
ejpam-5928	487	173	(	(	PUNCT
ejpam-5928	487	174	ϑ3	ϑ3	PROPN
ejpam-5928	487	175	,	,	PUNCT
ejpam-5928	487	176	{	{	PUNCT
ejpam-5928	487	177	ϵ1	ϵ1	ADJ
ejpam-5928	487	178	,	,	PUNCT
ejpam-5928	487	179	ϵ4	ϵ4	PROPN
ejpam-5928	487	180	}	}	PUNCT
ejpam-5928	487	181	,	,	PUNCT
ejpam-5928	487	182	ϕ	ϕ	NOUN
ejpam-5928	487	183	}	}	PUNCT
ejpam-5928	487	184	,	,	PUNCT
ejpam-5928	487	185	(	(	PUNCT
ejpam-5928	487	186	ζ̈3	ζ̈3	PROPN
ejpam-5928	487	187	,	,	PUNCT
ejpam-5928	487	188	λ̈3	λ̈3	NOUN
ejpam-5928	487	189	,	,	PUNCT
ejpam-5928	487	190	µ	µ	NOUN
ejpam-5928	487	191	)	)	PUNCT
ejpam-5928	487	192	=	=	PRON
ejpam-5928	487	193	{	{	PUNCT
ejpam-5928	487	194	(	(	PUNCT
ejpam-5928	487	195	ϑ1	ϑ1	NOUN
ejpam-5928	487	196	,	,	PUNCT
ejpam-5928	487	197	{	{	PUNCT
ejpam-5928	487	198	ϵ1	ϵ1	ADJ
ejpam-5928	487	199	,	,	PUNCT
ejpam-5928	487	200	ϵ3	ϵ3	PROPN
ejpam-5928	487	201	,	,	PUNCT
ejpam-5928	487	202	ϵ4	ϵ4	PROPN
ejpam-5928	487	203	}	}	PUNCT
ejpam-5928	487	204	,	,	PUNCT
ejpam-5928	487	205	{	{	PUNCT
ejpam-5928	487	206	ϵ2	ϵ2	NOUN
ejpam-5928	487	207	}	}	PUNCT
ejpam-5928	487	208	)	)	PUNCT
ejpam-5928	487	209	,	,	PUNCT
ejpam-5928	487	210	(	(	PUNCT
ejpam-5928	487	211	ϑ2	ϑ2	NOUN
ejpam-5928	487	212	,	,	PUNCT
ejpam-5928	487	213	{	{	PUNCT
ejpam-5928	487	214	ϵ1	ϵ1	ADJ
ejpam-5928	487	215	,	,	PUNCT
ejpam-5928	487	216	ϵ2	ϵ2	ADJ
ejpam-5928	487	217	,	,	PUNCT
ejpam-5928	487	218	ϵ3	ϵ3	PROPN
ejpam-5928	487	219	}	}	PUNCT
ejpam-5928	487	220	,	,	PUNCT
ejpam-5928	487	221	{	{	PUNCT
ejpam-5928	487	222	ϵ4	ϵ4	NOUN
ejpam-5928	487	223	}	}	PUNCT
ejpam-5928	487	224	)	)	PUNCT
ejpam-5928	487	225	,	,	PUNCT
ejpam-5928	487	226	(	(	PUNCT
ejpam-5928	487	227	ϑ3	ϑ3	PROPN
ejpam-5928	487	228	,	,	PUNCT
ejpam-5928	487	229	{	{	PUNCT
ejpam-5928	487	230	ϵ1	ϵ1	ADJ
ejpam-5928	487	231	,	,	PUNCT
ejpam-5928	487	232	ϵ2	ϵ2	ADJ
ejpam-5928	487	233	,	,	PUNCT
ejpam-5928	487	234	ϵ4	ϵ4	PROPN
ejpam-5928	487	235	}	}	PUNCT
ejpam-5928	487	236	,	,	PUNCT
ejpam-5928	487	237	ϕ	ϕ	NOUN
ejpam-5928	487	238	)	)	PUNCT
ejpam-5928	487	239	}	}	PUNCT
ejpam-5928	487	240	.	.	PUNCT
ejpam-5928	488	1	thus	thus	ADV
ejpam-5928	488	2	(	(	PUNCT
ejpam-5928	488	3	π	π	X
ejpam-5928	488	4	,	,	PUNCT
ejpam-5928	488	5	˜̃m	˜̃m	PROPN
ejpam-5928	488	6	,	,	PUNCT
ejpam-5928	488	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	488	8	)	)	PUNCT
ejpam-5928	488	9	is	be	AUX
ejpam-5928	488	10	a	a	DET
ejpam-5928	488	11	bs	bs	NOUN
ejpam-5928	488	12	˜̃m	˜̃m	ADV
ejpam-5928	488	13	-	-	PUNCT
ejpam-5928	488	14	connected	connect	VERB
ejpam-5928	488	15	space	space	NOUN
ejpam-5928	488	16	since	since	SCONJ
ejpam-5928	488	17	there	there	PRON
ejpam-5928	488	18	does	do	AUX
ejpam-5928	488	19	not	not	PART
ejpam-5928	488	20	exist	exist	VERB
ejpam-5928	488	21	bs	bs	ADJ
ejpam-5928	488	22	˜̃m	˜̃m	ADJ
ejpam-5928	488	23	-	-	PUNCT
ejpam-5928	488	24	separation	separation	NOUN
ejpam-5928	488	25	of	of	ADP
ejpam-5928	488	26	(	(	PUNCT
ejpam-5928	488	27	˜̃	˜̃	NOUN
ejpam-5928	488	28	π	π	PROPN
ejpam-5928	488	29	,	,	PUNCT
ejpam-5928	488	30	φ	φ	PROPN
ejpam-5928	488	31	,	,	PUNCT
ejpam-5928	488	32	µ	µ	NOUN
ejpam-5928	488	33	)	)	PUNCT
ejpam-5928	488	34	.	.	PUNCT
ejpam-5928	488	35	example	example	NOUN
ejpam-5928	489	1	8	8	NUM
ejpam-5928	489	2	.	.	PUNCT
ejpam-5928	490	1	let	let	VERB
ejpam-5928	490	2	π	π	NOUN
ejpam-5928	490	3	=	=	PUNCT
ejpam-5928	490	4	{	{	PUNCT
ejpam-5928	490	5	ϵ1	ϵ1	ADJ
ejpam-5928	490	6	,	,	PUNCT
ejpam-5928	490	7	ϵ2	ϵ2	ADJ
ejpam-5928	490	8	,	,	PUNCT
ejpam-5928	490	9	ϵ3	ϵ3	PROPN
ejpam-5928	490	10	}	}	PUNCT
ejpam-5928	490	11	and	and	CCONJ
ejpam-5928	490	12	µ	µ	X
ejpam-5928	490	13	=	=	SYM
ejpam-5928	490	14	{	{	PUNCT
ejpam-5928	490	15	ϑ1	ϑ1	NOUN
ejpam-5928	490	16	,	,	PUNCT
ejpam-5928	490	17	ϑ2	ϑ2	PROPN
ejpam-5928	490	18	}	}	PUNCT
ejpam-5928	490	19	.	.	PUNCT
ejpam-5928	491	1	so	so	ADV
ejpam-5928	491	2	,	,	PUNCT
ejpam-5928	491	3	the	the	DET
ejpam-5928	491	4	bsms	bsm	NOUN
ejpam-5928	491	5	˜̃m	˜̃m	ADJ
ejpam-5928	491	6	over	over	ADP
ejpam-5928	491	7	π	π	PROPN
ejpam-5928	491	8	is	be	AUX
ejpam-5928	491	9	given	give	VERB
ejpam-5928	491	10	by˜̃m	by˜̃m	PROPN
ejpam-5928	491	11	=	=	SYM
ejpam-5928	491	12	{	{	PUNCT
ejpam-5928	491	13	(	(	PUNCT
ejpam-5928	491	14	φ	φ	PROPN
ejpam-5928	491	15	,	,	PUNCT
ejpam-5928	491	16	˜̃π	˜̃π	NOUN
ejpam-5928	491	17	,	,	PUNCT
ejpam-5928	491	18	µ	µ	NOUN
ejpam-5928	491	19	)	)	PUNCT
ejpam-5928	491	20	,	,	PUNCT
ejpam-5928	491	21	(	(	PUNCT
ejpam-5928	491	22	˜̃	˜̃	NOUN
ejpam-5928	491	23	π	π	PROPN
ejpam-5928	491	24	,	,	PUNCT
ejpam-5928	491	25	φ	φ	PROPN
ejpam-5928	491	26	,	,	PUNCT
ejpam-5928	491	27	µ	µ	NOUN
ejpam-5928	491	28	)	)	PUNCT
ejpam-5928	491	29	,	,	PUNCT
ejpam-5928	491	30	(	(	PUNCT
ejpam-5928	491	31	ζ̈1	ζ̈1	ADJ
ejpam-5928	491	32	,	,	PUNCT
ejpam-5928	491	33	λ̈1	λ̈1	PROPN
ejpam-5928	491	34	,	,	PUNCT
ejpam-5928	491	35	µ	µ	NOUN
ejpam-5928	491	36	)	)	PUNCT
ejpam-5928	491	37	,	,	PUNCT
ejpam-5928	491	38	(	(	PUNCT
ejpam-5928	491	39	ζ̈2	ζ̈2	PROPN
ejpam-5928	491	40	,	,	PUNCT
ejpam-5928	491	41	λ̈2	λ̈2	NOUN
ejpam-5928	491	42	,	,	PUNCT
ejpam-5928	491	43	µ	µ	NOUN
ejpam-5928	491	44	)	)	PUNCT
ejpam-5928	491	45	,	,	PUNCT
ejpam-5928	491	46	(	(	PUNCT
ejpam-5928	491	47	ζ̈3	ζ̈3	PROPN
ejpam-5928	491	48	,	,	PUNCT
ejpam-5928	491	49	λ̈3	λ̈3	NOUN
ejpam-5928	491	50	,	,	PUNCT
ejpam-5928	491	51	µ	µ	NOUN
ejpam-5928	491	52	)	)	PUNCT
ejpam-5928	491	53	}	}	PUNCT
ejpam-5928	491	54	where	where	SCONJ
ejpam-5928	491	55	(	(	PUNCT
ejpam-5928	491	56	ζ̈1	ζ̈1	ADJ
ejpam-5928	491	57	,	,	PUNCT
ejpam-5928	491	58	λ̈1	λ̈1	PROPN
ejpam-5928	491	59	,	,	PUNCT
ejpam-5928	491	60	µ	µ	NOUN
ejpam-5928	491	61	)	)	PUNCT
ejpam-5928	491	62	,	,	PUNCT
ejpam-5928	491	63	(	(	PUNCT
ejpam-5928	491	64	ζ̈2	ζ̈2	PROPN
ejpam-5928	491	65	,	,	PUNCT
ejpam-5928	491	66	λ̈2	λ̈2	NOUN
ejpam-5928	491	67	,	,	PUNCT
ejpam-5928	491	68	µ	µ	NOUN
ejpam-5928	491	69	)	)	PUNCT
ejpam-5928	491	70	,	,	PUNCT
ejpam-5928	491	71	(	(	PUNCT
ejpam-5928	491	72	ζ̈3	ζ̈3	PROPN
ejpam-5928	491	73	,	,	PUNCT
ejpam-5928	491	74	λ̈3	λ̈3	NOUN
ejpam-5928	491	75	,	,	PUNCT
ejpam-5928	491	76	µ	µ	NOUN
ejpam-5928	491	77	)	)	PUNCT
ejpam-5928	491	78	˜̃∈	˜̃∈	PROPN
ejpam-5928	491	79	bss(π	bss(π	PROPN
ejpam-5928	491	80	)	)	PUNCT
ejpam-5928	491	81	defined	define	VERB
ejpam-5928	491	82	as	as	SCONJ
ejpam-5928	491	83	follows	follow	VERB
ejpam-5928	491	84	:	:	PUNCT
ejpam-5928	491	85	(	(	PUNCT
ejpam-5928	491	86	ζ̈1	ζ̈1	ADJ
ejpam-5928	491	87	,	,	PUNCT
ejpam-5928	491	88	λ̈1	λ̈1	PROPN
ejpam-5928	491	89	,	,	PUNCT
ejpam-5928	491	90	µ	µ	NOUN
ejpam-5928	491	91	)	)	PUNCT
ejpam-5928	491	92	=	=	PRON
ejpam-5928	491	93	{	{	PUNCT
ejpam-5928	491	94	(	(	PUNCT
ejpam-5928	491	95	ϑ1	ϑ1	NOUN
ejpam-5928	491	96	,	,	PUNCT
ejpam-5928	491	97	{	{	PUNCT
ejpam-5928	491	98	ϵ1	ϵ1	ADJ
ejpam-5928	491	99	}	}	PUNCT
ejpam-5928	491	100	,	,	PUNCT
ejpam-5928	491	101	{	{	PUNCT
ejpam-5928	491	102	ϵ2	ϵ2	NOUN
ejpam-5928	491	103	}	}	PUNCT
ejpam-5928	491	104	)	)	PUNCT
ejpam-5928	491	105	,	,	PUNCT
ejpam-5928	491	106	(	(	PUNCT
ejpam-5928	491	107	ϑ2	ϑ2	NOUN
ejpam-5928	491	108	,	,	PUNCT
ejpam-5928	491	109	{	{	PUNCT
ejpam-5928	491	110	ϵ1	ϵ1	ADJ
ejpam-5928	491	111	}	}	PUNCT
ejpam-5928	491	112	,	,	PUNCT
ejpam-5928	491	113	{	{	PUNCT
ejpam-5928	491	114	ϵ2	ϵ2	NOUN
ejpam-5928	491	115	}	}	PUNCT
ejpam-5928	491	116	)	)	PUNCT
ejpam-5928	491	117	}	}	PUNCT
ejpam-5928	491	118	,	,	PUNCT
ejpam-5928	491	119	(	(	PUNCT
ejpam-5928	491	120	ζ̈2	ζ̈2	PROPN
ejpam-5928	491	121	,	,	PUNCT
ejpam-5928	491	122	λ̈2	λ̈2	NOUN
ejpam-5928	491	123	,	,	PUNCT
ejpam-5928	491	124	µ	µ	NOUN
ejpam-5928	491	125	)	)	PUNCT
ejpam-5928	491	126	=	=	PRON
ejpam-5928	491	127	{	{	PUNCT
ejpam-5928	491	128	(	(	PUNCT
ejpam-5928	491	129	ϑ1	ϑ1	NOUN
ejpam-5928	491	130	,	,	PUNCT
ejpam-5928	491	131	{	{	PUNCT
ejpam-5928	491	132	ϵ2	ϵ2	ADJ
ejpam-5928	491	133	,	,	PUNCT
ejpam-5928	491	134	ϵ3	ϵ3	PROPN
ejpam-5928	491	135	}	}	PUNCT
ejpam-5928	491	136	,	,	PUNCT
ejpam-5928	491	137	{	{	PUNCT
ejpam-5928	491	138	ϵ1	ϵ1	ADJ
ejpam-5928	491	139	}	}	PUNCT
ejpam-5928	491	140	)	)	PUNCT
ejpam-5928	491	141	,	,	PUNCT
ejpam-5928	491	142	(	(	PUNCT
ejpam-5928	491	143	ϑ2	ϑ2	NOUN
ejpam-5928	491	144	,	,	PUNCT
ejpam-5928	491	145	{	{	PUNCT
ejpam-5928	491	146	ϵ2	ϵ2	ADJ
ejpam-5928	491	147	,	,	PUNCT
ejpam-5928	491	148	ϵ3	ϵ3	PROPN
ejpam-5928	491	149	}	}	PUNCT
ejpam-5928	491	150	,	,	PUNCT
ejpam-5928	491	151	{	{	PUNCT
ejpam-5928	491	152	ϵ1	ϵ1	ADJ
ejpam-5928	491	153	}	}	PUNCT
ejpam-5928	491	154	)	)	PUNCT
ejpam-5928	491	155	}	}	PUNCT
ejpam-5928	491	156	,	,	PUNCT
ejpam-5928	491	157	(	(	PUNCT
ejpam-5928	491	158	ζ̈3	ζ̈3	PROPN
ejpam-5928	491	159	,	,	PUNCT
ejpam-5928	491	160	λ̈3	λ̈3	NOUN
ejpam-5928	491	161	,	,	PUNCT
ejpam-5928	491	162	µ	µ	NOUN
ejpam-5928	491	163	)	)	PUNCT
ejpam-5928	491	164	=	=	PRON
ejpam-5928	491	165	{	{	PUNCT
ejpam-5928	491	166	(	(	PUNCT
ejpam-5928	491	167	ϑ1	ϑ1	NOUN
ejpam-5928	491	168	,	,	PUNCT
ejpam-5928	491	169	{	{	PUNCT
ejpam-5928	491	170	ϵ1	ϵ1	ADJ
ejpam-5928	491	171	,	,	PUNCT
ejpam-5928	491	172	ϵ3	ϵ3	PROPN
ejpam-5928	491	173	}	}	PUNCT
ejpam-5928	491	174	,	,	PUNCT
ejpam-5928	491	175	{	{	PUNCT
ejpam-5928	491	176	ϵ2	ϵ2	NOUN
ejpam-5928	491	177	}	}	PUNCT
ejpam-5928	491	178	)	)	PUNCT
ejpam-5928	491	179	,	,	PUNCT
ejpam-5928	491	180	(	(	PUNCT
ejpam-5928	491	181	ϑ2	ϑ2	NOUN
ejpam-5928	491	182	,	,	PUNCT
ejpam-5928	491	183	{	{	PUNCT
ejpam-5928	491	184	ϵ1	ϵ1	ADJ
ejpam-5928	491	185	,	,	PUNCT
ejpam-5928	491	186	ϵ3	ϵ3	PROPN
ejpam-5928	491	187	}	}	PUNCT
ejpam-5928	491	188	,	,	PUNCT
ejpam-5928	491	189	{	{	PUNCT
ejpam-5928	491	190	ϵ2	ϵ2	NOUN
ejpam-5928	491	191	}	}	PUNCT
ejpam-5928	491	192	)	)	PUNCT
ejpam-5928	491	193	}	}	PUNCT
ejpam-5928	491	194	.	.	PUNCT
ejpam-5928	492	1	therefore	therefore	ADV
ejpam-5928	492	2	,	,	PUNCT
ejpam-5928	492	3	(	(	PUNCT
ejpam-5928	492	4	π	π	X
ejpam-5928	492	5	,	,	PUNCT
ejpam-5928	492	6	˜̃m	˜̃m	PROPN
ejpam-5928	492	7	,	,	PUNCT
ejpam-5928	492	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	492	9	)	)	PUNCT
ejpam-5928	492	10	is	be	AUX
ejpam-5928	492	11	bs	bs	ADJ
ejpam-5928	492	12	˜̃m	˜̃m	ADV
ejpam-5928	492	13	-	-	PUNCT
ejpam-5928	492	14	disconnected	disconnected	ADJ
ejpam-5928	492	15	since	since	SCONJ
ejpam-5928	492	16	(	(	PUNCT
ejpam-5928	492	17	ζ̈1	ζ̈1	ADJ
ejpam-5928	492	18	,	,	PUNCT
ejpam-5928	492	19	λ̈1	λ̈1	PROPN
ejpam-5928	492	20	,	,	PUNCT
ejpam-5928	492	21	µ	µ	NOUN
ejpam-5928	492	22	)	)	PUNCT
ejpam-5928	492	23	and	and	CCONJ
ejpam-5928	492	24	(	(	PUNCT
ejpam-5928	492	25	ζ̈2	ζ̈2	PROPN
ejpam-5928	492	26	,	,	PUNCT
ejpam-5928	492	27	λ̈2	λ̈2	NOUN
ejpam-5928	492	28	,	,	PUNCT
ejpam-5928	492	29	µ	µ	NOUN
ejpam-5928	492	30	)	)	PUNCT
ejpam-5928	492	31	form	form	NOUN
ejpam-5928	492	32	a	a	DET
ejpam-5928	492	33	bs˜̃m	bs˜̃m	NOUN
ejpam-5928	492	34	-	-	PUNCT
ejpam-5928	492	35	separation	separation	NOUN
ejpam-5928	492	36	of	of	ADP
ejpam-5928	492	37	(	(	PUNCT
ejpam-5928	492	38	˜̃	˜̃	NOUN
ejpam-5928	492	39	π	π	PROPN
ejpam-5928	492	40	,	,	PUNCT
ejpam-5928	492	41	φ	φ	PROPN
ejpam-5928	492	42	,	,	PUNCT
ejpam-5928	492	43	µ	µ	NOUN
ejpam-5928	492	44	)	)	PUNCT
ejpam-5928	492	45	.	.	PUNCT
ejpam-5928	493	1	theorem	theorem	VERB
ejpam-5928	493	2	11	11	NUM
ejpam-5928	493	3	.	.	PUNCT
ejpam-5928	494	1	a	a	DET
ejpam-5928	494	2	bsms	bsms	NOUN
ejpam-5928	494	3	(	(	PUNCT
ejpam-5928	494	4	π	π	PROPN
ejpam-5928	494	5	,	,	PUNCT
ejpam-5928	494	6	˜̃m	˜̃m	PROPN
ejpam-5928	494	7	,	,	PUNCT
ejpam-5928	494	8	µ,¬µ	µ,¬µ	ADJ
ejpam-5928	494	9	)	)	PUNCT
ejpam-5928	494	10	over	over	ADP
ejpam-5928	494	11	π	π	PROPN
ejpam-5928	494	12	is	be	AUX
ejpam-5928	494	13	bs	bs	ADJ
ejpam-5928	494	14	˜̃m	˜̃m	ADV
ejpam-5928	494	15	-	-	PUNCT
ejpam-5928	494	16	disconnected	disconnected	ADJ
ejpam-5928	494	17	space	space	NOUN
ejpam-5928	494	18	if	if	SCONJ
ejpam-5928	494	19	and	and	CCONJ
ejpam-5928	494	20	only	only	ADV
ejpam-5928	494	21	if	if	SCONJ
ejpam-5928	494	22	there	there	PRON
ejpam-5928	494	23	are	be	VERB
ejpam-5928	494	24	two	two	NUM
ejpam-5928	494	25	bs	b	NOUN
ejpam-5928	494	26	˜̃m	˜̃m	ADV
ejpam-5928	494	27	-	-	PUNCT
ejpam-5928	494	28	closed	close	VERB
ejpam-5928	494	29	sets	set	NOUN
ejpam-5928	494	30	(	(	PUNCT
ejpam-5928	494	31	ζ̈1	ζ̈1	ADJ
ejpam-5928	494	32	,	,	PUNCT
ejpam-5928	494	33	λ̈1	λ̈1	PROPN
ejpam-5928	494	34	,	,	PUNCT
ejpam-5928	494	35	µ	µ	NOUN
ejpam-5928	494	36	)	)	PUNCT
ejpam-5928	494	37	and	and	CCONJ
ejpam-5928	494	38	(	(	PUNCT
ejpam-5928	494	39	ζ̈2	ζ̈2	PROPN
ejpam-5928	494	40	,	,	PUNCT
ejpam-5928	494	41	λ̈2	λ̈2	NOUN
ejpam-5928	494	42	,	,	PUNCT
ejpam-5928	494	43	µ	µ	NOUN
ejpam-5928	494	44	)	)	PUNCT
ejpam-5928	494	45	s.	s.	PROPN
ejpam-5928	494	46	t.	t.	PROPN
ejpam-5928	494	47	λ̈1(¬ϑ	λ̈1(¬ϑ	PROPN
ejpam-5928	494	48	)	)	PUNCT
ejpam-5928	495	1	̸=	̸=	PROPN
ejpam-5928	495	2	ϕ	ϕ	NOUN
ejpam-5928	495	3	,	,	PUNCT
ejpam-5928	495	4	λ̈2(¬ϑ	λ̈2(¬ϑ	ADJ
ejpam-5928	495	5	)	)	PUNCT
ejpam-5928	495	6	̸=	̸=	PROPN
ejpam-5928	495	7	ϕ	ϕ	NOUN
ejpam-5928	495	8	for	for	ADP
ejpam-5928	495	9	some	some	DET
ejpam-5928	495	10	¬ϑ	¬ϑ	PROPN
ejpam-5928	495	11	∈	∈	PROPN
ejpam-5928	495	12	µ	µ	NOUN
ejpam-5928	495	13	,	,	PUNCT
ejpam-5928	495	14	and	and	CCONJ
ejpam-5928	495	15	λ̈1(¬ϑ	λ̈1(¬ϑ	NOUN
ejpam-5928	495	16	)	)	PUNCT
ejpam-5928	495	17	∪	∪	ADP
ejpam-5928	495	18	λ̈2(¬ϑ	λ̈2(¬ϑ	ADJ
ejpam-5928	495	19	)	)	PUNCT
ejpam-5928	495	20	=	=	PUNCT
ejpam-5928	496	1	π	π	X
ejpam-5928	496	2	for	for	ADP
ejpam-5928	496	3	each	each	DET
ejpam-5928	496	4	¬ϑ	¬ϑ	PROPN
ejpam-5928	496	5	∈	∈	PROPN
ejpam-5928	496	6	µ	µ	PROPN
ejpam-5928	496	7	and	and	CCONJ
ejpam-5928	496	8	λ̈1(¬ϑ	λ̈1(¬ϑ	NOUN
ejpam-5928	496	9	)	)	PUNCT
ejpam-5928	496	10	∩	∩	NOUN
ejpam-5928	496	11	λ̈2(¬ϑ	λ̈2(¬ϑ	NOUN
ejpam-5928	496	12	)	)	PUNCT
ejpam-5928	496	13	=	=	SYM
ejpam-5928	496	14	ϕ	ϕ	PROPN
ejpam-5928	496	15	for	for	ADP
ejpam-5928	496	16	each	each	DET
ejpam-5928	496	17	¬ϑ	¬ϑ	PROPN
ejpam-5928	496	18	∈	∈	PROPN
ejpam-5928	496	19	µ.	µ.	VERB
ejpam-5928	496	20	r.	r.	PROPN
ejpam-5928	496	21	a.	a.	PROPN
ejpam-5928	496	22	mohammed	mohammed	PROPN
ejpam-5928	496	23	/	/	SYM
ejpam-5928	496	24	eur	eur	PROPN
ejpam-5928	496	25	.	.	PUNCT
ejpam-5928	497	1	j.	j.	PROPN
ejpam-5928	497	2	pure	pure	PROPN
ejpam-5928	497	3	appl	appl	PROPN
ejpam-5928	497	4	.	.	PROPN
ejpam-5928	497	5	math	math	PROPN
ejpam-5928	497	6	,	,	PUNCT
ejpam-5928	497	7	18	18	NUM
ejpam-5928	497	8	(	(	PUNCT
ejpam-5928	497	9	2	2	NUM
ejpam-5928	497	10	)	)	PUNCT
ejpam-5928	497	11	(	(	PUNCT
ejpam-5928	497	12	2025	2025	NUM
ejpam-5928	497	13	)	)	PUNCT
ejpam-5928	497	14	,	,	PUNCT
ejpam-5928	497	15	5928	5928	NUM
ejpam-5928	497	16	19	19	NUM
ejpam-5928	497	17	of	of	ADP
ejpam-5928	497	18	26	26	NUM
ejpam-5928	497	19	proof	proof	NOUN
ejpam-5928	497	20	.	.	PUNCT
ejpam-5928	497	21	suppose	suppose	VERB
ejpam-5928	497	22	that	that	SCONJ
ejpam-5928	497	23	(	(	PUNCT
ejpam-5928	497	24	π	π	X
ejpam-5928	497	25	,	,	PUNCT
ejpam-5928	497	26	˜̃m	˜̃m	PROPN
ejpam-5928	497	27	,	,	PUNCT
ejpam-5928	497	28	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	497	29	)	)	PUNCT
ejpam-5928	497	30	is	be	AUX
ejpam-5928	497	31	bs	bs	ADJ
ejpam-5928	497	32	˜̃m	˜̃m	ADV
ejpam-5928	497	33	-	-	PUNCT
ejpam-5928	497	34	disconnected	disconnected	ADJ
ejpam-5928	497	35	.	.	PUNCT
ejpam-5928	498	1	then	then	ADV
ejpam-5928	498	2	,	,	PUNCT
ejpam-5928	498	3	there	there	PRON
ejpam-5928	498	4	exist	exist	VERB
ejpam-5928	498	5	bs	bs	ADJ
ejpam-5928	498	6	˜̃m	˜̃m	ADJ
ejpam-5928	498	7	-	-	PUNCT
ejpam-5928	498	8	separation	separation	NOUN
ejpam-5928	498	9	of	of	ADP
ejpam-5928	498	10	(	(	PUNCT
ejpam-5928	498	11	˜̃	˜̃	NOUN
ejpam-5928	498	12	π	π	PROPN
ejpam-5928	498	13	,	,	PUNCT
ejpam-5928	498	14	φ	φ	PROPN
ejpam-5928	498	15	,	,	PUNCT
ejpam-5928	498	16	µ	µ	NOUN
ejpam-5928	498	17	)	)	PUNCT
ejpam-5928	498	18	,	,	PUNCT
ejpam-5928	498	19	say	say	VERB
ejpam-5928	498	20	,	,	PUNCT
ejpam-5928	498	21	(	(	PUNCT
ejpam-5928	498	22	ζ̈1	ζ̈1	ADJ
ejpam-5928	498	23	,	,	PUNCT
ejpam-5928	498	24	λ̈1	λ̈1	PROPN
ejpam-5928	498	25	,	,	PUNCT
ejpam-5928	498	26	µ	µ	NOUN
ejpam-5928	498	27	)	)	PUNCT
ejpam-5928	498	28	and	and	CCONJ
ejpam-5928	498	29	(	(	PUNCT
ejpam-5928	498	30	ζ̈2	ζ̈2	PROPN
ejpam-5928	498	31	,	,	PUNCT
ejpam-5928	498	32	λ̈2	λ̈2	NOUN
ejpam-5928	498	33	,	,	PUNCT
ejpam-5928	498	34	µ	µ	NOUN
ejpam-5928	498	35	)	)	PUNCT
ejpam-5928	498	36	.	.	PUNCT
ejpam-5928	499	1	then	then	ADV
ejpam-5928	499	2	,	,	PUNCT
ejpam-5928	499	3	ζ̈1(ϑ	ζ̈1(ϑ	NOUN
ejpam-5928	499	4	)	)	PUNCT
ejpam-5928	499	5	∪	∪	ADP
ejpam-5928	499	6	ζ̈2(ϑ	ζ̈2(ϑ	NOUN
ejpam-5928	499	7	)	)	PUNCT
ejpam-5928	499	8	=	=	PUNCT
ejpam-5928	500	1	π	π	PROPN
ejpam-5928	500	2	for	for	ADP
ejpam-5928	500	3	all	all	DET
ejpam-5928	500	4	ϑ	ϑ	PRON
ejpam-5928	500	5	∈	∈	PROPN
ejpam-5928	500	6	µ	µ	X
ejpam-5928	500	7	,	,	PUNCT
ejpam-5928	500	8	ζ̈1(ϑ	ζ̈1(ϑ	NOUN
ejpam-5928	500	9	)	)	PUNCT
ejpam-5928	500	10	∩	∩	ADJ
ejpam-5928	500	11	ζ̈2(ϑ	ζ̈2(ϑ	NOUN
ejpam-5928	500	12	)	)	PUNCT
ejpam-5928	500	13	=	=	SYM
ejpam-5928	500	14	ϕ	ϕ	PROPN
ejpam-5928	500	15	for	for	ADP
ejpam-5928	500	16	all	all	PRON
ejpam-5928	500	17	ϑ	ϑ	PRON
ejpam-5928	500	18	∈	∈	PROPN
ejpam-5928	500	19	µ	µ	X
ejpam-5928	500	20	and	and	CCONJ
ejpam-5928	500	21	ζ̈1(ϑ	ζ̈1(ϑ	NOUN
ejpam-5928	500	22	)	)	PUNCT
ejpam-5928	500	23	̸=	̸=	PROPN
ejpam-5928	500	24	ϕ	ϕ	NOUN
ejpam-5928	500	25	,	,	PUNCT
ejpam-5928	500	26	ζ̈2(ϑ	ζ̈2(ϑ	NOUN
ejpam-5928	500	27	)	)	PUNCT
ejpam-5928	500	28	̸=	̸=	PROPN
ejpam-5928	500	29	ϕ	ϕ	NOUN
ejpam-5928	500	30	for	for	ADP
ejpam-5928	500	31	some	some	DET
ejpam-5928	500	32	ϑ	ϑ	PRON
ejpam-5928	500	33	∈	∈	NOUN
ejpam-5928	500	34	µ.	µ.	NOUN
ejpam-5928	500	35	since	since	SCONJ
ejpam-5928	500	36	ζ̈1(ϑ	ζ̈1(ϑ	NOUN
ejpam-5928	500	37	)	)	PUNCT
ejpam-5928	500	38	=	=	SYM
ejpam-5928	500	39	λ̈c	λ̈c	NOUN
ejpam-5928	500	40	1(¬ϑ	1(¬ϑ	NUM
ejpam-5928	500	41	)	)	PUNCT
ejpam-5928	500	42	and	and	CCONJ
ejpam-5928	500	43	ζ̈2(ϑ	ζ̈2(ϑ	NOUN
ejpam-5928	500	44	)	)	PUNCT
ejpam-5928	500	45	=	=	SYM
ejpam-5928	500	46	λ̈c	λ̈c	NOUN
ejpam-5928	500	47	2(¬ϑ	2(¬ϑ	NUM
ejpam-5928	500	48	)	)	PUNCT
ejpam-5928	500	49	.	.	PUNCT
ejpam-5928	501	1	now	now	ADV
ejpam-5928	501	2	,	,	PUNCT
ejpam-5928	501	3	we	we	PRON
ejpam-5928	501	4	get	get	VERB
ejpam-5928	501	5	λ̈c	λ̈c	NOUN
ejpam-5928	501	6	1(¬ϑ	1(¬ϑ	NUM
ejpam-5928	501	7	)	)	PUNCT
ejpam-5928	501	8	∪	∪	ADP
ejpam-5928	501	9	λ̈c	λ̈c	NOUN
ejpam-5928	501	10	2(¬ϑ	2(¬ϑ	NUM
ejpam-5928	501	11	)	)	PUNCT
ejpam-5928	501	12	=	=	PUNCT
ejpam-5928	502	1	π	π	PROPN
ejpam-5928	502	2	for	for	ADP
ejpam-5928	502	3	all	all	DET
ejpam-5928	502	4	ϑ	ϑ	PRON
ejpam-5928	502	5	∈	∈	PROPN
ejpam-5928	502	6	µ	µ	NOUN
ejpam-5928	502	7	,	,	PUNCT
ejpam-5928	502	8	λ̈c	λ̈c	PROPN
ejpam-5928	502	9	1(¬ϑ	1(¬ϑ	NUM
ejpam-5928	502	10	)	)	PUNCT
ejpam-5928	502	11	∩	∩	NOUN
ejpam-5928	502	12	λ̈c	λ̈c	NOUN
ejpam-5928	502	13	2(¬ϑ	2(¬ϑ	NOUN
ejpam-5928	502	14	)	)	PUNCT
ejpam-5928	502	15	=	=	SYM
ejpam-5928	502	16	ϕ	ϕ	PROPN
ejpam-5928	502	17	for	for	ADP
ejpam-5928	502	18	all	all	DET
ejpam-5928	502	19	ϑ	ϑ	PRON
ejpam-5928	502	20	∈	∈	PROPN
ejpam-5928	502	21	µ	µ	NOUN
ejpam-5928	502	22	and	and	CCONJ
ejpam-5928	502	23	λ̈c	λ̈c	NOUN
ejpam-5928	502	24	1(ϑ	1(ϑ	NUM
ejpam-5928	502	25	)	)	PUNCT
ejpam-5928	502	26	̸=	̸=	PROPN
ejpam-5928	502	27	ϕ	ϕ	NOUN
ejpam-5928	502	28	,	,	PUNCT
ejpam-5928	502	29	ζ̈2(ϑ	ζ̈2(ϑ	NOUN
ejpam-5928	502	30	)	)	PUNCT
ejpam-5928	502	31	̸=	̸=	PROPN
ejpam-5928	502	32	ϕ	ϕ	NOUN
ejpam-5928	502	33	for	for	ADP
ejpam-5928	502	34	some	some	DET
ejpam-5928	502	35	ϑ	ϑ	DET
ejpam-5928	502	36	∈	∈	PROPN
ejpam-5928	502	37	µ.	µ.	NOUN
ejpam-5928	502	38	from	from	ADP
ejpam-5928	502	39	,	,	PUNCT
ejpam-5928	502	40	(	(	PUNCT
ejpam-5928	502	41	ζ̈1	ζ̈1	ADJ
ejpam-5928	502	42	,	,	PUNCT
ejpam-5928	502	43	λ̈1	λ̈1	PROPN
ejpam-5928	502	44	,	,	PUNCT
ejpam-5928	502	45	µ	µ	NOUN
ejpam-5928	502	46	)	)	PUNCT
ejpam-5928	502	47	,	,	PUNCT
ejpam-5928	502	48	(	(	PUNCT
ejpam-5928	502	49	ζ̈2	ζ̈2	PROPN
ejpam-5928	502	50	,	,	PUNCT
ejpam-5928	502	51	λ̈2	λ̈2	NOUN
ejpam-5928	502	52	,	,	PUNCT
ejpam-5928	502	53	µ	µ	NOUN
ejpam-5928	502	54	)	)	PUNCT
ejpam-5928	502	55	˜̃∈	˜̃∈	PROPN
ejpam-5928	502	56	˜̃m	˜̃m	PROPN
ejpam-5928	502	57	,	,	PUNCT
ejpam-5928	502	58	then	then	ADV
ejpam-5928	502	59	(	(	PUNCT
ejpam-5928	502	60	ζ̈1	ζ̈1	ADJ
ejpam-5928	502	61	,	,	PUNCT
ejpam-5928	502	62	λ̈1	λ̈1	PROPN
ejpam-5928	502	63	,	,	PUNCT
ejpam-5928	502	64	µ	µ	NOUN
ejpam-5928	502	65	)	)	PUNCT
ejpam-5928	502	66	c	c	NOUN
ejpam-5928	502	67	and	and	CCONJ
ejpam-5928	502	68	(	(	PUNCT
ejpam-5928	502	69	ζ̈2	ζ̈2	PROPN
ejpam-5928	502	70	,	,	PUNCT
ejpam-5928	502	71	λ̈2	λ̈2	NOUN
ejpam-5928	502	72	,	,	PUNCT
ejpam-5928	502	73	µ	µ	NOUN
ejpam-5928	502	74	)	)	PUNCT
ejpam-5928	502	75	c	c	NOUN
ejpam-5928	502	76	are	be	AUX
ejpam-5928	502	77	bs	bs	ADJ
ejpam-5928	502	78	˜̃m	˜̃m	ADV
ejpam-5928	502	79	-	-	PUNCT
ejpam-5928	502	80	closed	close	VERB
ejpam-5928	502	81	sets	set	NOUN
ejpam-5928	502	82	.	.	PUNCT
ejpam-5928	503	1	conversely	conversely	ADV
ejpam-5928	503	2	,	,	PUNCT
ejpam-5928	503	3	assume	assume	VERB
ejpam-5928	503	4	that	that	SCONJ
ejpam-5928	503	5	there	there	PRON
ejpam-5928	503	6	are	be	VERB
ejpam-5928	503	7	bs	bs	ADJ
ejpam-5928	503	8	˜̃m	˜̃m	ADV
ejpam-5928	503	9	-	-	PUNCT
ejpam-5928	503	10	closed	close	VERB
ejpam-5928	503	11	sets	set	NOUN
ejpam-5928	503	12	(	(	PUNCT
ejpam-5928	503	13	ζ̈1	ζ̈1	ADJ
ejpam-5928	503	14	,	,	PUNCT
ejpam-5928	503	15	λ̈1	λ̈1	PROPN
ejpam-5928	503	16	,	,	PUNCT
ejpam-5928	503	17	µ	µ	NOUN
ejpam-5928	503	18	)	)	PUNCT
ejpam-5928	503	19	,	,	PUNCT
ejpam-5928	503	20	(	(	PUNCT
ejpam-5928	503	21	ζ̈2	ζ̈2	PROPN
ejpam-5928	503	22	,	,	PUNCT
ejpam-5928	503	23	λ̈2	λ̈2	NOUN
ejpam-5928	503	24	,	,	PUNCT
ejpam-5928	503	25	µ	µ	NOUN
ejpam-5928	503	26	)	)	PUNCT
ejpam-5928	503	27	s.	s.	PROPN
ejpam-5928	503	28	t.	t.	PROPN
ejpam-5928	503	29	λ̈1(¬ϑ	λ̈1(¬ϑ	PROPN
ejpam-5928	503	30	)	)	PUNCT
ejpam-5928	503	31	∪	∪	ADP
ejpam-5928	503	32	λ̈2(¬ϑ	λ̈2(¬ϑ	ADJ
ejpam-5928	503	33	)	)	PUNCT
ejpam-5928	504	1	=	=	PUNCT
ejpam-5928	504	2	π	π	X
ejpam-5928	504	3	for	for	ADP
ejpam-5928	504	4	all	all	DET
ejpam-5928	504	5	¬ϑ	¬ϑ	PROPN
ejpam-5928	504	6	∈	∈	PROPN
ejpam-5928	504	7	µ	µ	NOUN
ejpam-5928	504	8	,	,	PUNCT
ejpam-5928	504	9	λ̈1(¬ϑ	λ̈1(¬ϑ	NOUN
ejpam-5928	504	10	)	)	PUNCT
ejpam-5928	504	11	∩	∩	NOUN
ejpam-5928	504	12	λ̈2(¬ϑ	λ̈2(¬ϑ	NOUN
ejpam-5928	504	13	)	)	PUNCT
ejpam-5928	504	14	=	=	SYM
ejpam-5928	504	15	ϕ	ϕ	PROPN
ejpam-5928	504	16	for	for	ADP
ejpam-5928	504	17	all	all	DET
ejpam-5928	504	18	¬ϑ	¬ϑ	PROPN
ejpam-5928	504	19	∈	∈	PROPN
ejpam-5928	504	20	µ	µ	NOUN
ejpam-5928	504	21	and	and	CCONJ
ejpam-5928	504	22	λ̈1(¬ϑ	λ̈1(¬ϑ	NOUN
ejpam-5928	504	23	)	)	PUNCT
ejpam-5928	505	1	̸=	̸=	PROPN
ejpam-5928	505	2	ϕ	ϕ	NOUN
ejpam-5928	505	3	,	,	PUNCT
ejpam-5928	505	4	λ̈2(¬ϑ	λ̈2(¬ϑ	ADJ
ejpam-5928	505	5	)	)	PUNCT
ejpam-5928	505	6	̸=	̸=	PROPN
ejpam-5928	505	7	ϕ	ϕ	NOUN
ejpam-5928	505	8	for	for	ADP
ejpam-5928	505	9	some	some	DET
ejpam-5928	505	10	¬ϑ	¬ϑ	PROPN
ejpam-5928	505	11	∈	∈	PROPN
ejpam-5928	505	12	µ.	µ.	VERB
ejpam-5928	505	13	then	then	ADV
ejpam-5928	505	14	(	(	PUNCT
ejpam-5928	505	15	ζ̈1	ζ̈1	ADJ
ejpam-5928	505	16	,	,	PUNCT
ejpam-5928	505	17	λ̈1	λ̈1	PROPN
ejpam-5928	505	18	,	,	PUNCT
ejpam-5928	505	19	µ	µ	NOUN
ejpam-5928	505	20	)	)	PUNCT
ejpam-5928	505	21	c	c	NOUN
ejpam-5928	505	22	,	,	PUNCT
ejpam-5928	505	23	(	(	PUNCT
ejpam-5928	505	24	ζ̈2	ζ̈2	PROPN
ejpam-5928	505	25	,	,	PUNCT
ejpam-5928	505	26	λ̈2	λ̈2	NOUN
ejpam-5928	505	27	,	,	PUNCT
ejpam-5928	505	28	µ	µ	NOUN
ejpam-5928	505	29	)	)	PUNCT
ejpam-5928	505	30	c	c	NOUN
ejpam-5928	505	31	are	be	AUX
ejpam-5928	505	32	bs	bs	ADJ
ejpam-5928	505	33	˜̃m	˜̃m	ADV
ejpam-5928	505	34	-	-	PUNCT
ejpam-5928	505	35	open	open	ADJ
ejpam-5928	505	36	sets	set	NOUN
ejpam-5928	505	37	s.	s.	PROPN
ejpam-5928	505	38	t.	t.	PROPN
ejpam-5928	505	39	ζ̈c1(ϑ	ζ̈c1(ϑ	PROPN
ejpam-5928	505	40	)	)	PUNCT
ejpam-5928	505	41	=	=	SYM
ejpam-5928	505	42	λ̈1(¬ϑ	λ̈1(¬ϑ	NOUN
ejpam-5928	505	43	)	)	PUNCT
ejpam-5928	505	44	̸=	̸=	PROPN
ejpam-5928	505	45	ϕ	ϕ	PROPN
ejpam-5928	505	46	and	and	CCONJ
ejpam-5928	505	47	ζ̈c2(ϑ	ζ̈c2(ϑ	NOUN
ejpam-5928	505	48	)	)	PUNCT
ejpam-5928	505	49	=	=	PUNCT
ejpam-5928	506	1	λ̈2(¬ϑ	λ̈2(¬ϑ	X
ejpam-5928	506	2	)	)	PUNCT
ejpam-5928	506	3	̸=	̸=	PROPN
ejpam-5928	506	4	ϕ	ϕ	NOUN
ejpam-5928	506	5	for	for	ADP
ejpam-5928	506	6	some	some	DET
ejpam-5928	506	7	ϑ	ϑ	PRON
ejpam-5928	506	8	∈	∈	PROPN
ejpam-5928	506	9	µ	µ	NOUN
ejpam-5928	506	10	,	,	PUNCT
ejpam-5928	506	11	ζ̈c1(ϑ	ζ̈c1(ϑ	PROPN
ejpam-5928	506	12	)	)	PUNCT
ejpam-5928	506	13	∪	∪	NOUN
ejpam-5928	506	14	ζ̈c2(ϑ	ζ̈c2(ϑ	NOUN
ejpam-5928	506	15	)	)	PUNCT
ejpam-5928	506	16	=	=	SYM
ejpam-5928	506	17	λ̈1(¬ϑ	λ̈1(¬ϑ	NOUN
ejpam-5928	506	18	)	)	PUNCT
ejpam-5928	506	19	∪	∪	ADP
ejpam-5928	506	20	λ̈2(¬ϑ	λ̈2(¬ϑ	ADJ
ejpam-5928	506	21	)	)	PUNCT
ejpam-5928	507	1	=	=	PUNCT
ejpam-5928	507	2	π	π	X
ejpam-5928	507	3	for	for	ADP
ejpam-5928	507	4	all	all	DET
ejpam-5928	507	5	ϑ	ϑ	PRON
ejpam-5928	507	6	∈	∈	PROPN
ejpam-5928	507	7	µ	µ	X
ejpam-5928	507	8	and	and	CCONJ
ejpam-5928	507	9	ζ̈c1(ϑ	ζ̈c1(ϑ	PROPN
ejpam-5928	507	10	)	)	PUNCT
ejpam-5928	507	11	∩	∩	ADJ
ejpam-5928	507	12	ζ̈c2(ϑ	ζ̈c2(ϑ	NOUN
ejpam-5928	507	13	)	)	PUNCT
ejpam-5928	507	14	=	=	SYM
ejpam-5928	507	15	λ̈1(¬ϑ	λ̈1(¬ϑ	NOUN
ejpam-5928	507	16	)	)	PUNCT
ejpam-5928	507	17	∩	∩	NOUN
ejpam-5928	507	18	λ̈2(¬ϑ	λ̈2(¬ϑ	NOUN
ejpam-5928	507	19	)	)	PUNCT
ejpam-5928	507	20	=	=	SYM
ejpam-5928	507	21	ϕ	ϕ	PROPN
ejpam-5928	507	22	for	for	ADP
ejpam-5928	507	23	all	all	DET
ejpam-5928	507	24	ϑ	ϑ	PRON
ejpam-5928	507	25	∈	∈	PROPN
ejpam-5928	507	26	µ.	µ.	NOUN
ejpam-5928	507	27	thus	thus	ADV
ejpam-5928	507	28	,	,	PUNCT
ejpam-5928	507	29	(	(	PUNCT
ejpam-5928	507	30	ζ̈1	ζ̈1	ADJ
ejpam-5928	507	31	,	,	PUNCT
ejpam-5928	507	32	λ̈1	λ̈1	PROPN
ejpam-5928	507	33	,	,	PUNCT
ejpam-5928	507	34	µ	µ	NOUN
ejpam-5928	507	35	)	)	PUNCT
ejpam-5928	507	36	c	c	NOUN
ejpam-5928	507	37	and	and	CCONJ
ejpam-5928	507	38	(	(	PUNCT
ejpam-5928	507	39	ζ̈2	ζ̈2	PROPN
ejpam-5928	507	40	,	,	PUNCT
ejpam-5928	507	41	λ̈2	λ̈2	NOUN
ejpam-5928	507	42	,	,	PUNCT
ejpam-5928	507	43	µ	µ	NOUN
ejpam-5928	507	44	)	)	PUNCT
ejpam-5928	507	45	c	c	NOUN
ejpam-5928	507	46	form	form	NOUN
ejpam-5928	507	47	bs	bs	ADP
ejpam-5928	507	48	˜̃m	˜̃m	ADJ
ejpam-5928	507	49	-	-	PUNCT
ejpam-5928	507	50	separation	separation	NOUN
ejpam-5928	507	51	of	of	ADP
ejpam-5928	507	52	(	(	PUNCT
ejpam-5928	507	53	˜̃	˜̃	NOUN
ejpam-5928	507	54	π	π	PROPN
ejpam-5928	507	55	,	,	PUNCT
ejpam-5928	507	56	φ	φ	PROPN
ejpam-5928	507	57	,	,	PUNCT
ejpam-5928	507	58	µ	µ	NOUN
ejpam-5928	507	59	)	)	PUNCT
ejpam-5928	507	60	.	.	PUNCT
ejpam-5928	508	1	thus	thus	ADV
ejpam-5928	508	2	,	,	PUNCT
ejpam-5928	508	3	(	(	PUNCT
ejpam-5928	508	4	π	π	X
ejpam-5928	508	5	,	,	PUNCT
ejpam-5928	508	6	˜̃m	˜̃m	PROPN
ejpam-5928	508	7	,	,	PUNCT
ejpam-5928	508	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	508	9	)	)	PUNCT
ejpam-5928	508	10	is	be	AUX
ejpam-5928	508	11	a	a	DET
ejpam-5928	508	12	bs	bs	NOUN
ejpam-5928	508	13	˜̃m	˜̃m	ADV
ejpam-5928	508	14	-	-	PUNCT
ejpam-5928	508	15	disconnected	disconnected	ADJ
ejpam-5928	508	16	space	space	NOUN
ejpam-5928	508	17	.	.	PUNCT
ejpam-5928	509	1	theorem	theorem	NOUN
ejpam-5928	509	2	12	12	NUM
ejpam-5928	509	3	.	.	PUNCT
ejpam-5928	510	1	the	the	DET
ejpam-5928	510	2	bs	bs	PROPN
ejpam-5928	510	3	intersection	intersection	NOUN
ejpam-5928	510	4	of	of	ADP
ejpam-5928	510	5	a	a	DET
ejpam-5928	510	6	pair	pair	NOUN
ejpam-5928	510	7	of	of	ADP
ejpam-5928	510	8	bs	bs	NOUN
ejpam-5928	510	9	˜̃m	˜̃m	ADV
ejpam-5928	510	10	-	-	PUNCT
ejpam-5928	510	11	connected	connect	VERB
ejpam-5928	510	12	spaces	space	NOUN
ejpam-5928	510	13	over	over	ADP
ejpam-5928	510	14	a	a	DET
ejpam-5928	510	15	common	common	ADJ
ejpam-5928	510	16	universal	universal	ADJ
ejpam-5928	510	17	set	set	NOUN
ejpam-5928	510	18	is	be	AUX
ejpam-5928	510	19	bs	bs	ADJ
ejpam-5928	510	20	˜̃m	˜̃m	ADV
ejpam-5928	510	21	-	-	PUNCT
ejpam-5928	510	22	connected	connect	VERB
ejpam-5928	510	23	.	.	PUNCT
ejpam-5928	511	1	proof	proof	NOUN
ejpam-5928	511	2	.	.	PUNCT
ejpam-5928	512	1	let	let	VERB
ejpam-5928	512	2	(	(	PUNCT
ejpam-5928	512	3	π	π	NOUN
ejpam-5928	512	4	,	,	PUNCT
ejpam-5928	512	5	˜̃m1	˜̃m1	PROPN
ejpam-5928	512	6	,	,	PUNCT
ejpam-5928	512	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	512	8	)	)	PUNCT
ejpam-5928	512	9	and	and	CCONJ
ejpam-5928	512	10	(	(	PUNCT
ejpam-5928	512	11	π	π	PROPN
ejpam-5928	512	12	,	,	PUNCT
ejpam-5928	512	13	˜̃m2	˜̃m2	NUM
ejpam-5928	512	14	,	,	PUNCT
ejpam-5928	512	15	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	512	16	)	)	PUNCT
ejpam-5928	512	17	be	be	VERB
ejpam-5928	512	18	two	two	NUM
ejpam-5928	512	19	bs	bs	NOUN
ejpam-5928	512	20	˜̃mi	˜̃mi	ADV
ejpam-5928	512	21	-	-	PUNCT
ejpam-5928	512	22	connected	connect	VERB
ejpam-5928	512	23	spaces	space	NOUN
ejpam-5928	512	24	over	over	ADP
ejpam-5928	512	25	π	π	PROPN
ejpam-5928	512	26	,	,	PUNCT
ejpam-5928	512	27	i	i	PRON
ejpam-5928	512	28	=	=	NOUN
ejpam-5928	512	29	1	1	NUM
ejpam-5928	512	30	,	,	PUNCT
ejpam-5928	512	31	2	2	NUM
ejpam-5928	512	32	and	and	CCONJ
ejpam-5928	512	33	˜̃m	˜̃m	NOUN
ejpam-5928	512	34	=	=	PUNCT
ejpam-5928	513	1	˜̃m1	˜̃m1	PROPN
ejpam-5928	513	2	˜̃∩	˜̃∩	ADP
ejpam-5928	513	3	˜̃m2	˜̃m2	NUM
ejpam-5928	513	4	.	.	PUNCT
ejpam-5928	514	1	we	we	PRON
ejpam-5928	514	2	need	need	VERB
ejpam-5928	514	3	to	to	PART
ejpam-5928	514	4	show	show	VERB
ejpam-5928	514	5	that	that	SCONJ
ejpam-5928	514	6	the	the	DET
ejpam-5928	514	7	space	space	NOUN
ejpam-5928	514	8	(	(	PUNCT
ejpam-5928	514	9	π	π	NOUN
ejpam-5928	514	10	,	,	PUNCT
ejpam-5928	514	11	˜̃m	˜̃m	PROPN
ejpam-5928	514	12	,	,	PUNCT
ejpam-5928	514	13	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	514	14	)	)	PUNCT
ejpam-5928	514	15	is	be	AUX
ejpam-5928	514	16	bs	bs	ADJ
ejpam-5928	514	17	˜̃m	˜̃m	ADV
ejpam-5928	514	18	-	-	PUNCT
ejpam-5928	514	19	connected	connect	VERB
ejpam-5928	514	20	.	.	PUNCT
ejpam-5928	515	1	if	if	SCONJ
ejpam-5928	515	2	we	we	PRON
ejpam-5928	515	3	say	say	VERB
ejpam-5928	515	4	that	that	SCONJ
ejpam-5928	515	5	(	(	PUNCT
ejpam-5928	515	6	π	π	X
ejpam-5928	515	7	,	,	PUNCT
ejpam-5928	515	8	˜̃m	˜̃m	PROPN
ejpam-5928	515	9	,	,	PUNCT
ejpam-5928	515	10	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	515	11	)	)	PUNCT
ejpam-5928	515	12	is	be	AUX
ejpam-5928	515	13	not	not	PART
ejpam-5928	515	14	bs	bs	ADJ
ejpam-5928	515	15	˜̃m	˜̃m	ADV
ejpam-5928	515	16	-	-	PUNCT
ejpam-5928	515	17	connected	connect	VERB
ejpam-5928	515	18	.	.	PUNCT
ejpam-5928	516	1	then	then	ADV
ejpam-5928	516	2	there	there	PRON
ejpam-5928	516	3	exist	exist	VERB
ejpam-5928	516	4	two	two	NUM
ejpam-5928	516	5	bsss	bsss	NOUN
ejpam-5928	516	6	(	(	PUNCT
ejpam-5928	516	7	ζ̈1	ζ̈1	ADJ
ejpam-5928	516	8	,	,	PUNCT
ejpam-5928	516	9	λ̈1	λ̈1	PROPN
ejpam-5928	516	10	,	,	PUNCT
ejpam-5928	516	11	µ),(ζ̈2	µ),(ζ̈2	PROPN
ejpam-5928	516	12	,	,	PUNCT
ejpam-5928	516	13	λ̈2	λ̈2	NOUN
ejpam-5928	516	14	,	,	PUNCT
ejpam-5928	516	15	µ)˜̃∈	µ)˜̃∈	X
ejpam-5928	516	16	˜̃m	˜̃m	PROPN
ejpam-5928	516	17	,	,	PUNCT
ejpam-5928	516	18	which	which	PRON
ejpam-5928	516	19	forms	form	VERB
ejpam-5928	516	20	a	a	DET
ejpam-5928	516	21	bs	bs	NOUN
ejpam-5928	516	22	˜̃m	˜̃m	ADJ
ejpam-5928	516	23	-	-	PUNCT
ejpam-5928	516	24	separation	separation	NOUN
ejpam-5928	516	25	of	of	ADP
ejpam-5928	516	26	(	(	PUNCT
ejpam-5928	516	27	˜̃	˜̃	NOUN
ejpam-5928	516	28	π	π	PROPN
ejpam-5928	516	29	,	,	PUNCT
ejpam-5928	516	30	φ	φ	PROPN
ejpam-5928	516	31	,	,	PUNCT
ejpam-5928	516	32	µ	µ	NOUN
ejpam-5928	516	33	)	)	PUNCT
ejpam-5928	516	34	in	in	ADP
ejpam-5928	516	35	(	(	PUNCT
ejpam-5928	516	36	π	π	PROPN
ejpam-5928	516	37	,	,	PUNCT
ejpam-5928	516	38	˜̃m	˜̃m	PROPN
ejpam-5928	516	39	,	,	PUNCT
ejpam-5928	516	40	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	516	41	)	)	PUNCT
ejpam-5928	516	42	.	.	PUNCT
ejpam-5928	517	1	from	from	ADP
ejpam-5928	517	2	(	(	PUNCT
ejpam-5928	517	3	ζ̈1	ζ̈1	ADJ
ejpam-5928	517	4	,	,	PUNCT
ejpam-5928	517	5	λ̈1	λ̈1	PROPN
ejpam-5928	517	6	,	,	PUNCT
ejpam-5928	517	7	µ	µ	NOUN
ejpam-5928	517	8	)	)	PUNCT
ejpam-5928	517	9	,	,	PUNCT
ejpam-5928	517	10	(	(	PUNCT
ejpam-5928	517	11	ζ̈2	ζ̈2	PROPN
ejpam-5928	517	12	,	,	PUNCT
ejpam-5928	517	13	λ̈2	λ̈2	NOUN
ejpam-5928	517	14	,	,	PUNCT
ejpam-5928	517	15	µ)˜̃∈	µ)˜̃∈	X
ejpam-5928	517	16	˜̃m	˜̃m	ADJ
ejpam-5928	517	17	,	,	PUNCT
ejpam-5928	517	18	then	then	ADV
ejpam-5928	517	19	(	(	PUNCT
ejpam-5928	517	20	ζ̈1	ζ̈1	ADJ
ejpam-5928	517	21	,	,	PUNCT
ejpam-5928	517	22	λ̈1	λ̈1	PROPN
ejpam-5928	517	23	,	,	PUNCT
ejpam-5928	517	24	µ	µ	NOUN
ejpam-5928	517	25	)	)	PUNCT
ejpam-5928	517	26	,	,	PUNCT
ejpam-5928	517	27	(	(	PUNCT
ejpam-5928	517	28	ζ̈2	ζ̈2	PROPN
ejpam-5928	517	29	,	,	PUNCT
ejpam-5928	517	30	λ̈2	λ̈2	NOUN
ejpam-5928	517	31	,	,	PUNCT
ejpam-5928	517	32	µ	µ	NOUN
ejpam-5928	517	33	)	)	PUNCT
ejpam-5928	517	34	˜̃∈	˜̃∈	PROPN
ejpam-5928	517	35	˜̃m1	˜̃m1	PROPN
ejpam-5928	517	36	and	and	CCONJ
ejpam-5928	517	37	(	(	PUNCT
ejpam-5928	517	38	ζ̈1	ζ̈1	ADJ
ejpam-5928	517	39	,	,	PUNCT
ejpam-5928	517	40	λ̈1	λ̈1	PROPN
ejpam-5928	517	41	,	,	PUNCT
ejpam-5928	517	42	µ	µ	NOUN
ejpam-5928	517	43	)	)	PUNCT
ejpam-5928	517	44	,	,	PUNCT
ejpam-5928	517	45	(	(	PUNCT
ejpam-5928	517	46	ζ̈2	ζ̈2	PROPN
ejpam-5928	517	47	,	,	PUNCT
ejpam-5928	517	48	λ̈2	λ̈2	NOUN
ejpam-5928	517	49	,	,	PUNCT
ejpam-5928	517	50	µ	µ	NOUN
ejpam-5928	517	51	)	)	PUNCT
ejpam-5928	517	52	˜̃∈	˜̃∈	PROPN
ejpam-5928	517	53	˜̃m2	˜̃m2	PROPN
ejpam-5928	517	54	.	.	PUNCT
ejpam-5928	518	1	this	this	DET
ejpam-5928	518	2	lead	lead	NOUN
ejpam-5928	518	3	to	to	ADP
ejpam-5928	518	4	(	(	PUNCT
ejpam-5928	518	5	ζ̈1	ζ̈1	ADJ
ejpam-5928	518	6	,	,	PUNCT
ejpam-5928	518	7	λ̈1	λ̈1	PROPN
ejpam-5928	518	8	,	,	PUNCT
ejpam-5928	518	9	µ	µ	NOUN
ejpam-5928	518	10	)	)	PUNCT
ejpam-5928	518	11	and	and	CCONJ
ejpam-5928	518	12	(	(	PUNCT
ejpam-5928	518	13	ζ̈2	ζ̈2	PROPN
ejpam-5928	518	14	,	,	PUNCT
ejpam-5928	518	15	λ̈2	λ̈2	NOUN
ejpam-5928	518	16	,	,	PUNCT
ejpam-5928	518	17	µ	µ	NOUN
ejpam-5928	518	18	)	)	PUNCT
ejpam-5928	518	19	form	form	NOUN
ejpam-5928	518	20	a	a	DET
ejpam-5928	518	21	bs	bs	NOUN
ejpam-5928	518	22	˜̃m1	˜̃m1	NOUN
ejpam-5928	518	23	-	-	PUNCT
ejpam-5928	518	24	separation	separation	NOUN
ejpam-5928	518	25	of	of	ADP
ejpam-5928	518	26	(	(	PUNCT
ejpam-5928	518	27	˜̃	˜̃	NOUN
ejpam-5928	518	28	π	π	PROPN
ejpam-5928	518	29	,	,	PUNCT
ejpam-5928	518	30	φ	φ	PROPN
ejpam-5928	518	31	,	,	PUNCT
ejpam-5928	518	32	µ	µ	NOUN
ejpam-5928	518	33	)	)	PUNCT
ejpam-5928	518	34	in	in	ADP
ejpam-5928	518	35	(	(	PUNCT
ejpam-5928	518	36	π	π	NOUN
ejpam-5928	518	37	,	,	PUNCT
ejpam-5928	518	38	˜̃m1	˜̃m1	PROPN
ejpam-5928	518	39	,	,	PUNCT
ejpam-5928	518	40	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	518	41	)	)	PUNCT
ejpam-5928	518	42	and	and	CCONJ
ejpam-5928	518	43	also	also	ADV
ejpam-5928	518	44	(	(	PUNCT
ejpam-5928	518	45	ζ̈1	ζ̈1	ADJ
ejpam-5928	518	46	,	,	PUNCT
ejpam-5928	518	47	λ̈1	λ̈1	PROPN
ejpam-5928	518	48	,	,	PUNCT
ejpam-5928	518	49	µ	µ	NOUN
ejpam-5928	518	50	)	)	PUNCT
ejpam-5928	518	51	and	and	CCONJ
ejpam-5928	518	52	(	(	PUNCT
ejpam-5928	518	53	ζ̈2	ζ̈2	PROPN
ejpam-5928	518	54	,	,	PUNCT
ejpam-5928	518	55	λ̈2	λ̈2	NOUN
ejpam-5928	518	56	,	,	PUNCT
ejpam-5928	518	57	µ	µ	NOUN
ejpam-5928	518	58	)	)	PUNCT
ejpam-5928	518	59	form	form	NOUN
ejpam-5928	518	60	a	a	DET
ejpam-5928	518	61	bs	bs	NOUN
ejpam-5928	518	62	˜̃m2	˜̃m2	NUM
ejpam-5928	518	63	-	-	PUNCT
ejpam-5928	518	64	separation	separation	NOUN
ejpam-5928	518	65	of	of	ADP
ejpam-5928	518	66	(	(	PUNCT
ejpam-5928	518	67	˜̃	˜̃	NOUN
ejpam-5928	518	68	π	π	PROPN
ejpam-5928	518	69	,	,	PUNCT
ejpam-5928	518	70	φ	φ	PROPN
ejpam-5928	518	71	,	,	PUNCT
ejpam-5928	518	72	µ	µ	NOUN
ejpam-5928	518	73	)	)	PUNCT
ejpam-5928	518	74	in	in	ADP
ejpam-5928	518	75	(	(	PUNCT
ejpam-5928	518	76	π	π	PROPN
ejpam-5928	518	77	,	,	PUNCT
ejpam-5928	518	78	˜̃m2	˜̃m2	NUM
ejpam-5928	518	79	,	,	PUNCT
ejpam-5928	518	80	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	518	81	)	)	PUNCT
ejpam-5928	518	82	which	which	PRON
ejpam-5928	518	83	is	be	AUX
ejpam-5928	518	84	the	the	DET
ejpam-5928	518	85	contradiction	contradiction	NOUN
ejpam-5928	518	86	to	to	ADP
ejpam-5928	518	87	given	give	VERB
ejpam-5928	518	88	hypothesis	hypothesis	NOUN
ejpam-5928	518	89	.	.	PUNCT
ejpam-5928	519	1	therefore	therefore	ADV
ejpam-5928	519	2	,	,	PUNCT
ejpam-5928	519	3	(	(	PUNCT
ejpam-5928	519	4	π	π	X
ejpam-5928	519	5	,	,	PUNCT
ejpam-5928	519	6	˜̃m	˜̃m	PROPN
ejpam-5928	519	7	,	,	PUNCT
ejpam-5928	519	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	519	9	)	)	PUNCT
ejpam-5928	519	10	is	be	AUX
ejpam-5928	519	11	a	a	DET
ejpam-5928	519	12	bs	bs	NOUN
ejpam-5928	519	13	˜̃m	˜̃m	ADV
ejpam-5928	519	14	-	-	PUNCT
ejpam-5928	519	15	connected	connect	VERB
ejpam-5928	519	16	space	space	NOUN
ejpam-5928	519	17	over	over	ADP
ejpam-5928	519	18	π	π	PROPN
ejpam-5928	519	19	.	.	PUNCT
ejpam-5928	519	20	r.	r.	PROPN
ejpam-5928	519	21	a.	a.	PROPN
ejpam-5928	519	22	mohammed	mohammed	PROPN
ejpam-5928	519	23	/	/	SYM
ejpam-5928	519	24	eur	eur	PROPN
ejpam-5928	519	25	.	.	PUNCT
ejpam-5928	520	1	j.	j.	PROPN
ejpam-5928	520	2	pure	pure	PROPN
ejpam-5928	520	3	appl	appl	PROPN
ejpam-5928	520	4	.	.	PROPN
ejpam-5928	520	5	math	math	PROPN
ejpam-5928	520	6	,	,	PUNCT
ejpam-5928	520	7	18	18	NUM
ejpam-5928	520	8	(	(	PUNCT
ejpam-5928	520	9	2	2	NUM
ejpam-5928	520	10	)	)	PUNCT
ejpam-5928	520	11	(	(	PUNCT
ejpam-5928	520	12	2025	2025	NUM
ejpam-5928	520	13	)	)	PUNCT
ejpam-5928	520	14	,	,	PUNCT
ejpam-5928	520	15	5928	5928	NUM
ejpam-5928	520	16	20	20	NUM
ejpam-5928	520	17	of	of	ADP
ejpam-5928	520	18	26	26	NUM
ejpam-5928	520	19	remark	remark	NOUN
ejpam-5928	520	20	3	3	NUM
ejpam-5928	520	21	.	.	PUNCT
ejpam-5928	521	1	the	the	DET
ejpam-5928	521	2	bs	bs	PROPN
ejpam-5928	521	3	union	union	NOUN
ejpam-5928	521	4	of	of	ADP
ejpam-5928	521	5	a	a	DET
ejpam-5928	521	6	pair	pair	NOUN
ejpam-5928	521	7	of	of	ADP
ejpam-5928	521	8	bs	bs	NOUN
ejpam-5928	521	9	˜̃m	˜̃m	ADV
ejpam-5928	521	10	-	-	PUNCT
ejpam-5928	521	11	connected	connect	VERB
ejpam-5928	521	12	spaces	space	NOUN
ejpam-5928	521	13	over	over	ADP
ejpam-5928	521	14	the	the	DET
ejpam-5928	521	15	common	common	ADJ
ejpam-5928	521	16	universal	universal	ADJ
ejpam-5928	521	17	set	set	NOUN
ejpam-5928	521	18	may	may	AUX
ejpam-5928	521	19	not	not	PART
ejpam-5928	521	20	be	be	AUX
ejpam-5928	521	21	bs	bs	ADJ
ejpam-5928	521	22	˜̃m	˜̃m	ADV
ejpam-5928	521	23	-	-	PUNCT
ejpam-5928	521	24	connected	connect	VERB
ejpam-5928	521	25	.	.	PUNCT
ejpam-5928	521	26	example	example	NOUN
ejpam-5928	522	1	9	9	NUM
ejpam-5928	522	2	.	.	PUNCT
ejpam-5928	523	1	let	let	VERB
ejpam-5928	523	2	π	π	NOUN
ejpam-5928	523	3	=	=	PUNCT
ejpam-5928	523	4	{	{	PUNCT
ejpam-5928	523	5	ϵ1	ϵ1	ADJ
ejpam-5928	523	6	,	,	PUNCT
ejpam-5928	523	7	ϵ2	ϵ2	ADJ
ejpam-5928	523	8	}	}	PUNCT
ejpam-5928	523	9	,	,	PUNCT
ejpam-5928	523	10	µ	µ	X
ejpam-5928	523	11	=	=	SYM
ejpam-5928	523	12	{	{	PUNCT
ejpam-5928	523	13	ϑ1	ϑ1	NOUN
ejpam-5928	523	14	,	,	PUNCT
ejpam-5928	523	15	ϑ2	ϑ2	PROPN
ejpam-5928	523	16	}	}	PUNCT
ejpam-5928	523	17	,	,	PUNCT
ejpam-5928	523	18	˜̃m1	˜̃m1	NOUN
ejpam-5928	523	19	=	=	SYM
ejpam-5928	523	20	{	{	PUNCT
ejpam-5928	523	21	(	(	PUNCT
ejpam-5928	523	22	φ	φ	PROPN
ejpam-5928	523	23	,	,	PUNCT
ejpam-5928	523	24	˜̃π	˜̃π	NOUN
ejpam-5928	523	25	,	,	PUNCT
ejpam-5928	523	26	µ	µ	NOUN
ejpam-5928	523	27	)	)	PUNCT
ejpam-5928	523	28	,	,	PUNCT
ejpam-5928	523	29	(	(	PUNCT
ejpam-5928	523	30	ζ̈1	ζ̈1	ADJ
ejpam-5928	523	31	,	,	PUNCT
ejpam-5928	523	32	λ̈1	λ̈1	PROPN
ejpam-5928	523	33	,	,	PUNCT
ejpam-5928	523	34	µ	µ	NOUN
ejpam-5928	523	35	)	)	PUNCT
ejpam-5928	523	36	}	}	PUNCT
ejpam-5928	523	37	and˜̃m2	and˜̃m2	NOUN
ejpam-5928	524	1	=	=	PRON
ejpam-5928	524	2	{	{	PUNCT
ejpam-5928	524	3	(	(	PUNCT
ejpam-5928	524	4	φ	φ	PROPN
ejpam-5928	524	5	,	,	PUNCT
ejpam-5928	524	6	˜̃π	˜̃π	NOUN
ejpam-5928	524	7	,	,	PUNCT
ejpam-5928	524	8	µ	µ	NOUN
ejpam-5928	524	9	)	)	PUNCT
ejpam-5928	524	10	,	,	PUNCT
ejpam-5928	524	11	(	(	PUNCT
ejpam-5928	524	12	ζ̈2	ζ̈2	PROPN
ejpam-5928	524	13	,	,	PUNCT
ejpam-5928	524	14	λ̈2	λ̈2	NOUN
ejpam-5928	524	15	,	,	PUNCT
ejpam-5928	524	16	µ	µ	NOUN
ejpam-5928	524	17	)	)	PUNCT
ejpam-5928	524	18	}	}	PUNCT
ejpam-5928	524	19	,	,	PUNCT
ejpam-5928	524	20	where	where	SCONJ
ejpam-5928	524	21	(	(	PUNCT
ejpam-5928	524	22	ζ̈1	ζ̈1	ADJ
ejpam-5928	524	23	,	,	PUNCT
ejpam-5928	524	24	λ̈1	λ̈1	PROPN
ejpam-5928	524	25	,	,	PUNCT
ejpam-5928	524	26	µ	µ	NOUN
ejpam-5928	524	27	)	)	PUNCT
ejpam-5928	524	28	=	=	PRON
ejpam-5928	524	29	{	{	PUNCT
ejpam-5928	524	30	(	(	PUNCT
ejpam-5928	524	31	ϑ1	ϑ1	NOUN
ejpam-5928	524	32	,	,	PUNCT
ejpam-5928	524	33	ϕ,π	ϕ,π	NOUN
ejpam-5928	524	34	)	)	PUNCT
ejpam-5928	524	35	,	,	PUNCT
ejpam-5928	524	36	(	(	PUNCT
ejpam-5928	524	37	ϑ2,π	ϑ2,π	PROPN
ejpam-5928	524	38	,	,	PUNCT
ejpam-5928	524	39	ϕ	ϕ	NOUN
ejpam-5928	524	40	)	)	PUNCT
ejpam-5928	524	41	}	}	PUNCT
ejpam-5928	524	42	and	and	CCONJ
ejpam-5928	524	43	(	(	PUNCT
ejpam-5928	524	44	ζ̈2	ζ̈2	PROPN
ejpam-5928	524	45	,	,	PUNCT
ejpam-5928	524	46	λ̈2	λ̈2	NOUN
ejpam-5928	524	47	,	,	PUNCT
ejpam-5928	524	48	µ	µ	NOUN
ejpam-5928	524	49	)	)	PUNCT
ejpam-5928	524	50	=	=	PRON
ejpam-5928	524	51	{	{	PUNCT
ejpam-5928	524	52	(	(	PUNCT
ejpam-5928	524	53	ϑ1,π	ϑ1,π	PROPN
ejpam-5928	524	54	,	,	PUNCT
ejpam-5928	524	55	ϕ	ϕ	NOUN
ejpam-5928	524	56	)	)	PUNCT
ejpam-5928	524	57	,	,	PUNCT
ejpam-5928	524	58	(	(	PUNCT
ejpam-5928	524	59	ϑ2	ϑ2	NOUN
ejpam-5928	524	60	,	,	PUNCT
ejpam-5928	524	61	ϕ,π	ϕ,π	NOUN
ejpam-5928	524	62	)	)	PUNCT
ejpam-5928	524	63	}	}	PUNCT
ejpam-5928	524	64	.	.	PUNCT
ejpam-5928	525	1	clearly	clearly	ADV
ejpam-5928	525	2	(	(	PUNCT
ejpam-5928	525	3	π	π	NOUN
ejpam-5928	525	4	,	,	PUNCT
ejpam-5928	525	5	˜̃m1	˜̃m1	PROPN
ejpam-5928	525	6	,	,	PUNCT
ejpam-5928	525	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	525	8	)	)	PUNCT
ejpam-5928	525	9	and	and	CCONJ
ejpam-5928	525	10	(	(	PUNCT
ejpam-5928	525	11	π	π	PROPN
ejpam-5928	525	12	,	,	PUNCT
ejpam-5928	525	13	˜̃m2	˜̃m2	NUM
ejpam-5928	525	14	,	,	PUNCT
ejpam-5928	525	15	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	525	16	)	)	PUNCT
ejpam-5928	525	17	are	be	AUX
ejpam-5928	525	18	bs	bs	ADJ
ejpam-5928	525	19	˜̃m	˜̃m	ADV
ejpam-5928	525	20	-	-	PUNCT
ejpam-5928	525	21	connected	connect	VERB
ejpam-5928	525	22	spaces	space	NOUN
ejpam-5928	525	23	over	over	ADP
ejpam-5928	525	24	π	π	PROPN
ejpam-5928	525	25	where	where	SCONJ
ejpam-5928	525	26	˜̃m	˜̃m	ADJ
ejpam-5928	525	27	=	=	PUNCT
ejpam-5928	525	28	˜̃m1	˜̃m1	NOUN
ejpam-5928	525	29	˜̃∪˜̃m2	˜̃∪˜̃m2	PROPN
ejpam-5928	525	30	.	.	PUNCT
ejpam-5928	526	1	but	but	CCONJ
ejpam-5928	526	2	we	we	PRON
ejpam-5928	526	3	note	note	VERB
ejpam-5928	526	4	that	that	SCONJ
ejpam-5928	527	1	˜̃m1	˜̃m1	NOUN
ejpam-5928	527	2	˜̃∪	˜̃∪	PROPN
ejpam-5928	527	3	˜̃m2	˜̃m2	PROPN
ejpam-5928	528	1	=	=	SYM
ejpam-5928	528	2	{	{	PUNCT
ejpam-5928	528	3	(	(	PUNCT
ejpam-5928	528	4	φ	φ	PROPN
ejpam-5928	528	5	,	,	PUNCT
ejpam-5928	528	6	˜̃π	˜̃π	NOUN
ejpam-5928	528	7	,	,	PUNCT
ejpam-5928	528	8	µ	µ	NOUN
ejpam-5928	528	9	)	)	PUNCT
ejpam-5928	528	10	,	,	PUNCT
ejpam-5928	528	11	(	(	PUNCT
ejpam-5928	528	12	ζ̈1	ζ̈1	ADJ
ejpam-5928	528	13	,	,	PUNCT
ejpam-5928	528	14	λ̈1	λ̈1	PROPN
ejpam-5928	528	15	,	,	PUNCT
ejpam-5928	528	16	µ	µ	NOUN
ejpam-5928	528	17	)	)	PUNCT
ejpam-5928	528	18	,	,	PUNCT
ejpam-5928	528	19	(	(	PUNCT
ejpam-5928	528	20	ζ̈2	ζ̈2	PROPN
ejpam-5928	528	21	,	,	PUNCT
ejpam-5928	528	22	λ̈2	λ̈2	NOUN
ejpam-5928	528	23	,	,	PUNCT
ejpam-5928	528	24	µ	µ	NOUN
ejpam-5928	528	25	)	)	PUNCT
ejpam-5928	528	26	}	}	PUNCT
ejpam-5928	528	27	is	be	AUX
ejpam-5928	528	28	not	not	PART
ejpam-5928	528	29	a	a	DET
ejpam-5928	528	30	bs	bs	NOUN
ejpam-5928	528	31	˜̃m	˜̃m	ADV
ejpam-5928	528	32	-	-	PUNCT
ejpam-5928	528	33	connected	connect	VERB
ejpam-5928	528	34	space	space	NOUN
ejpam-5928	528	35	over	over	ADP
ejpam-5928	528	36	π	π	PROPN
ejpam-5928	528	37	since	since	SCONJ
ejpam-5928	528	38	(	(	PUNCT
ejpam-5928	528	39	ζ̈1	ζ̈1	ADJ
ejpam-5928	528	40	,	,	PUNCT
ejpam-5928	528	41	λ̈1	λ̈1	PROPN
ejpam-5928	528	42	,	,	PUNCT
ejpam-5928	528	43	µ	µ	NOUN
ejpam-5928	528	44	)	)	PUNCT
ejpam-5928	528	45	and	and	CCONJ
ejpam-5928	528	46	(	(	PUNCT
ejpam-5928	528	47	ζ̈2	ζ̈2	PROPN
ejpam-5928	528	48	,	,	PUNCT
ejpam-5928	528	49	λ̈2	λ̈2	NOUN
ejpam-5928	528	50	,	,	PUNCT
ejpam-5928	528	51	µ	µ	NOUN
ejpam-5928	528	52	)	)	PUNCT
ejpam-5928	528	53	form	form	NOUN
ejpam-5928	528	54	a	a	DET
ejpam-5928	528	55	bs	bs	NOUN
ejpam-5928	528	56	˜̃m	˜̃m	ADJ
ejpam-5928	528	57	-	-	PUNCT
ejpam-5928	528	58	separation	separation	NOUN
ejpam-5928	528	59	of	of	ADP
ejpam-5928	528	60	(	(	PUNCT
ejpam-5928	528	61	˜̃	˜̃	NOUN
ejpam-5928	528	62	π	π	PROPN
ejpam-5928	528	63	,	,	PUNCT
ejpam-5928	528	64	φ	φ	PROPN
ejpam-5928	528	65	,	,	PUNCT
ejpam-5928	528	66	µ	µ	NOUN
ejpam-5928	528	67	)	)	PUNCT
ejpam-5928	528	68	in	in	ADP
ejpam-5928	528	69	˜̃m1	˜̃m1	PROPN
ejpam-5928	528	70	˜̃∪˜̃m2	˜̃∪˜̃m2	PROPN
ejpam-5928	528	71	.	.	PUNCT
ejpam-5928	529	1	proposition	proposition	NOUN
ejpam-5928	529	2	14	14	NUM
ejpam-5928	529	3	.	.	PUNCT
ejpam-5928	530	1	the	the	DET
ejpam-5928	530	2	bs	bs	PROPN
ejpam-5928	530	3	union	union	NOUN
ejpam-5928	530	4	of	of	ADP
ejpam-5928	530	5	a	a	DET
ejpam-5928	530	6	pair	pair	NOUN
ejpam-5928	530	7	of	of	ADP
ejpam-5928	530	8	bs	bs	NOUN
ejpam-5928	530	9	˜̃m	˜̃m	ADV
ejpam-5928	530	10	-	-	PUNCT
ejpam-5928	530	11	disconnected	disconnected	ADJ
ejpam-5928	530	12	spaces	space	NOUN
ejpam-5928	530	13	over	over	ADP
ejpam-5928	530	14	the	the	DET
ejpam-5928	530	15	common	common	ADJ
ejpam-5928	530	16	universal	universal	ADJ
ejpam-5928	530	17	set	set	NOUN
ejpam-5928	530	18	is	be	AUX
ejpam-5928	530	19	bs	bs	ADJ
ejpam-5928	530	20	˜̃m	˜̃m	ADV
ejpam-5928	530	21	-	-	PUNCT
ejpam-5928	530	22	disconnected	disconnected	ADJ
ejpam-5928	530	23	.	.	PUNCT
ejpam-5928	531	1	proof	proof	NOUN
ejpam-5928	531	2	.	.	PUNCT
ejpam-5928	532	1	obvious	obvious	ADJ
ejpam-5928	532	2	.	.	PUNCT
ejpam-5928	532	3	remark	remark	NOUN
ejpam-5928	532	4	4	4	NUM
ejpam-5928	532	5	.	.	PUNCT
ejpam-5928	533	1	the	the	DET
ejpam-5928	533	2	bs	bs	PROPN
ejpam-5928	533	3	intersection	intersection	NOUN
ejpam-5928	533	4	of	of	ADP
ejpam-5928	533	5	a	a	DET
ejpam-5928	533	6	pair	pair	NOUN
ejpam-5928	533	7	of	of	ADP
ejpam-5928	533	8	bs	bs	NOUN
ejpam-5928	533	9	˜̃m	˜̃m	ADV
ejpam-5928	533	10	-	-	PUNCT
ejpam-5928	533	11	disconnected	disconnected	ADJ
ejpam-5928	533	12	spaces	space	NOUN
ejpam-5928	533	13	over	over	ADP
ejpam-5928	533	14	the	the	DET
ejpam-5928	533	15	common	common	ADJ
ejpam-5928	533	16	universal	universal	ADJ
ejpam-5928	533	17	set	set	NOUN
ejpam-5928	533	18	need	need	AUX
ejpam-5928	533	19	not	not	PART
ejpam-5928	533	20	be	be	AUX
ejpam-5928	533	21	a	a	DET
ejpam-5928	533	22	bs	bs	NOUN
ejpam-5928	533	23	˜̃m	˜̃m	ADV
ejpam-5928	533	24	-	-	PUNCT
ejpam-5928	533	25	disconnected	disconnected	ADJ
ejpam-5928	533	26	space	space	NOUN
ejpam-5928	533	27	.	.	PUNCT
ejpam-5928	533	28	example	example	NOUN
ejpam-5928	534	1	10	10	NUM
ejpam-5928	534	2	.	.	PUNCT
ejpam-5928	535	1	let	let	VERB
ejpam-5928	535	2	π	π	NOUN
ejpam-5928	535	3	=	=	PUNCT
ejpam-5928	535	4	{	{	PUNCT
ejpam-5928	535	5	ϵ1	ϵ1	ADJ
ejpam-5928	535	6	,	,	PUNCT
ejpam-5928	535	7	ϵ2	ϵ2	ADJ
ejpam-5928	535	8	,	,	PUNCT
ejpam-5928	535	9	ϵ3	ϵ3	PROPN
ejpam-5928	535	10	}	}	PUNCT
ejpam-5928	535	11	,	,	PUNCT
ejpam-5928	535	12	µ	µ	X
ejpam-5928	535	13	=	=	SYM
ejpam-5928	535	14	{	{	PUNCT
ejpam-5928	535	15	ϑ1	ϑ1	NOUN
ejpam-5928	535	16	,	,	PUNCT
ejpam-5928	535	17	ϑ2	ϑ2	PROPN
ejpam-5928	535	18	}	}	PUNCT
ejpam-5928	535	19	,	,	PUNCT
ejpam-5928	535	20	˜̃m1	˜̃m1	NOUN
ejpam-5928	535	21	=	=	SYM
ejpam-5928	535	22	{	{	PUNCT
ejpam-5928	535	23	(	(	PUNCT
ejpam-5928	535	24	φ	φ	PROPN
ejpam-5928	535	25	,	,	PUNCT
ejpam-5928	535	26	˜̃π	˜̃π	NOUN
ejpam-5928	535	27	,	,	PUNCT
ejpam-5928	535	28	µ	µ	NOUN
ejpam-5928	535	29	)	)	PUNCT
ejpam-5928	535	30	,	,	PUNCT
ejpam-5928	535	31	(	(	PUNCT
ejpam-5928	535	32	˜̃	˜̃	NOUN
ejpam-5928	535	33	π	π	PROPN
ejpam-5928	535	34	,	,	PUNCT
ejpam-5928	535	35	φ	φ	PROPN
ejpam-5928	535	36	,	,	PUNCT
ejpam-5928	535	37	µ	µ	NOUN
ejpam-5928	535	38	)	)	PUNCT
ejpam-5928	535	39	,	,	PUNCT
ejpam-5928	535	40	(	(	PUNCT
ejpam-5928	535	41	ζ̈1	ζ̈1	ADJ
ejpam-5928	535	42	,	,	PUNCT
ejpam-5928	535	43	λ̈1	λ̈1	PROPN
ejpam-5928	535	44	,	,	PUNCT
ejpam-5928	535	45	µ	µ	NOUN
ejpam-5928	535	46	)	)	PUNCT
ejpam-5928	535	47	,	,	PUNCT
ejpam-5928	535	48	(	(	PUNCT
ejpam-5928	535	49	ζ̈2	ζ̈2	PROPN
ejpam-5928	535	50	,	,	PUNCT
ejpam-5928	535	51	λ̈2	λ̈2	NOUN
ejpam-5928	535	52	,	,	PUNCT
ejpam-5928	535	53	µ	µ	NOUN
ejpam-5928	535	54	)	)	PUNCT
ejpam-5928	535	55	}	}	PUNCT
ejpam-5928	535	56	and	and	CCONJ
ejpam-5928	535	57	˜̃m2	˜̃m2	NUM
ejpam-5928	535	58	=	=	SYM
ejpam-5928	535	59	{	{	PUNCT
ejpam-5928	535	60	(	(	PUNCT
ejpam-5928	535	61	φ	φ	PROPN
ejpam-5928	535	62	,	,	PUNCT
ejpam-5928	535	63	˜̃π	˜̃π	NOUN
ejpam-5928	535	64	,	,	PUNCT
ejpam-5928	535	65	µ	µ	NOUN
ejpam-5928	535	66	)	)	PUNCT
ejpam-5928	535	67	,	,	PUNCT
ejpam-5928	535	68	(	(	PUNCT
ejpam-5928	535	69	˜̃	˜̃	NOUN
ejpam-5928	535	70	π	π	PROPN
ejpam-5928	535	71	,	,	PUNCT
ejpam-5928	535	72	φ	φ	PROPN
ejpam-5928	535	73	,	,	PUNCT
ejpam-5928	535	74	µ	µ	NOUN
ejpam-5928	535	75	)	)	PUNCT
ejpam-5928	535	76	,	,	PUNCT
ejpam-5928	535	77	(	(	PUNCT
ejpam-5928	535	78	ζ̈3	ζ̈3	PROPN
ejpam-5928	535	79	,	,	PUNCT
ejpam-5928	535	80	λ̈3	λ̈3	NOUN
ejpam-5928	535	81	,	,	PUNCT
ejpam-5928	535	82	µ	µ	NOUN
ejpam-5928	535	83	)	)	PUNCT
ejpam-5928	535	84	,	,	PUNCT
ejpam-5928	535	85	(	(	PUNCT
ejpam-5928	535	86	ζ̈4	ζ̈4	NOUN
ejpam-5928	535	87	,	,	PUNCT
ejpam-5928	535	88	λ̈4	λ̈4	PROPN
ejpam-5928	535	89	,	,	PUNCT
ejpam-5928	535	90	µ	µ	NOUN
ejpam-5928	535	91	)	)	PUNCT
ejpam-5928	535	92	}	}	PUNCT
ejpam-5928	535	93	,	,	PUNCT
ejpam-5928	535	94	where	where	SCONJ
ejpam-5928	535	95	(	(	PUNCT
ejpam-5928	535	96	ζ̈1	ζ̈1	ADJ
ejpam-5928	535	97	,	,	PUNCT
ejpam-5928	535	98	λ̈1	λ̈1	PROPN
ejpam-5928	535	99	,	,	PUNCT
ejpam-5928	535	100	µ	µ	NOUN
ejpam-5928	535	101	)	)	PUNCT
ejpam-5928	535	102	,	,	PUNCT
ejpam-5928	535	103	(	(	PUNCT
ejpam-5928	535	104	ζ̈2	ζ̈2	PROPN
ejpam-5928	535	105	,	,	PUNCT
ejpam-5928	535	106	λ̈2	λ̈2	NOUN
ejpam-5928	535	107	,	,	PUNCT
ejpam-5928	535	108	µ	µ	NOUN
ejpam-5928	535	109	)	)	PUNCT
ejpam-5928	535	110	,	,	PUNCT
ejpam-5928	535	111	(	(	PUNCT
ejpam-5928	535	112	ζ̈3	ζ̈3	PROPN
ejpam-5928	535	113	,	,	PUNCT
ejpam-5928	535	114	λ̈3	λ̈3	NOUN
ejpam-5928	535	115	,	,	PUNCT
ejpam-5928	535	116	µ	µ	NOUN
ejpam-5928	535	117	)	)	PUNCT
ejpam-5928	535	118	,	,	PUNCT
ejpam-5928	535	119	(	(	PUNCT
ejpam-5928	535	120	ζ̈4	ζ̈4	NOUN
ejpam-5928	535	121	,	,	PUNCT
ejpam-5928	535	122	λ̈4	λ̈4	PROPN
ejpam-5928	535	123	,	,	PUNCT
ejpam-5928	535	124	µ	µ	NOUN
ejpam-5928	535	125	)	)	PUNCT
ejpam-5928	535	126	˜̃∈	˜̃∈	PROPN
ejpam-5928	535	127	bss(π	bss(π	PROPN
ejpam-5928	535	128	)	)	PUNCT
ejpam-5928	535	129	defined	define	VERB
ejpam-5928	535	130	as	as	ADP
ejpam-5928	535	131	follows	follow	VERB
ejpam-5928	535	132	(	(	PUNCT
ejpam-5928	535	133	ζ̈1	ζ̈1	ADJ
ejpam-5928	535	134	,	,	PUNCT
ejpam-5928	535	135	λ̈1	λ̈1	PROPN
ejpam-5928	535	136	,	,	PUNCT
ejpam-5928	535	137	µ	µ	NOUN
ejpam-5928	535	138	)	)	PUNCT
ejpam-5928	535	139	=	=	PRON
ejpam-5928	535	140	{	{	PUNCT
ejpam-5928	535	141	(	(	PUNCT
ejpam-5928	535	142	ϑ1	ϑ1	NOUN
ejpam-5928	535	143	,	,	PUNCT
ejpam-5928	535	144	{	{	PUNCT
ejpam-5928	535	145	ϵ1	ϵ1	ADJ
ejpam-5928	535	146	}	}	PUNCT
ejpam-5928	535	147	,	,	PUNCT
ejpam-5928	535	148	{	{	PUNCT
ejpam-5928	535	149	ϵ2	ϵ2	NOUN
ejpam-5928	535	150	}	}	PUNCT
ejpam-5928	535	151	)	)	PUNCT
ejpam-5928	535	152	,	,	PUNCT
ejpam-5928	535	153	(	(	PUNCT
ejpam-5928	535	154	ϑ2	ϑ2	NOUN
ejpam-5928	535	155	,	,	PUNCT
ejpam-5928	535	156	{	{	PUNCT
ejpam-5928	535	157	ϵ1	ϵ1	ADJ
ejpam-5928	535	158	,	,	PUNCT
ejpam-5928	535	159	ϵ2	ϵ2	ADJ
ejpam-5928	535	160	}	}	PUNCT
ejpam-5928	535	161	,	,	PUNCT
ejpam-5928	535	162	{	{	PUNCT
ejpam-5928	535	163	ϵ3	ϵ3	PROPN
ejpam-5928	535	164	}	}	PUNCT
ejpam-5928	535	165	)	)	PUNCT
ejpam-5928	535	166	}	}	PUNCT
ejpam-5928	535	167	,	,	PUNCT
ejpam-5928	535	168	(	(	PUNCT
ejpam-5928	535	169	ζ̈2	ζ̈2	PROPN
ejpam-5928	535	170	,	,	PUNCT
ejpam-5928	535	171	λ̈2	λ̈2	NOUN
ejpam-5928	535	172	,	,	PUNCT
ejpam-5928	535	173	µ	µ	NOUN
ejpam-5928	535	174	)	)	PUNCT
ejpam-5928	535	175	=	=	PRON
ejpam-5928	535	176	{	{	PUNCT
ejpam-5928	535	177	(	(	PUNCT
ejpam-5928	535	178	ϑ1	ϑ1	NOUN
ejpam-5928	535	179	,	,	PUNCT
ejpam-5928	535	180	{	{	PUNCT
ejpam-5928	535	181	ϵ2	ϵ2	ADJ
ejpam-5928	535	182	,	,	PUNCT
ejpam-5928	535	183	ϵ3	ϵ3	PROPN
ejpam-5928	535	184	}	}	PUNCT
ejpam-5928	535	185	,	,	PUNCT
ejpam-5928	535	186	ϕ	ϕ	NOUN
ejpam-5928	535	187	)	)	PUNCT
ejpam-5928	535	188	,	,	PUNCT
ejpam-5928	535	189	(	(	PUNCT
ejpam-5928	535	190	ϑ2	ϑ2	NOUN
ejpam-5928	535	191	,	,	PUNCT
ejpam-5928	535	192	{	{	PUNCT
ejpam-5928	535	193	ϵ3	ϵ3	PROPN
ejpam-5928	535	194	}	}	PUNCT
ejpam-5928	535	195	,	,	PUNCT
ejpam-5928	535	196	{	{	PUNCT
ejpam-5928	535	197	ϵ1	ϵ1	ADJ
ejpam-5928	535	198	}	}	PUNCT
ejpam-5928	535	199	)	)	PUNCT
ejpam-5928	535	200	}	}	PUNCT
ejpam-5928	535	201	,	,	PUNCT
ejpam-5928	535	202	(	(	PUNCT
ejpam-5928	535	203	ζ̈3	ζ̈3	PROPN
ejpam-5928	535	204	,	,	PUNCT
ejpam-5928	535	205	λ̈3	λ̈3	NOUN
ejpam-5928	535	206	,	,	PUNCT
ejpam-5928	535	207	µ	µ	NOUN
ejpam-5928	535	208	)	)	PUNCT
ejpam-5928	535	209	=	=	PRON
ejpam-5928	535	210	{	{	PUNCT
ejpam-5928	535	211	(	(	PUNCT
ejpam-5928	535	212	ϑ1	ϑ1	NOUN
ejpam-5928	535	213	,	,	PUNCT
ejpam-5928	535	214	{	{	PUNCT
ejpam-5928	535	215	ϵ1	ϵ1	ADJ
ejpam-5928	535	216	,	,	PUNCT
ejpam-5928	535	217	ϵ3	ϵ3	PROPN
ejpam-5928	535	218	}	}	PUNCT
ejpam-5928	535	219	,	,	PUNCT
ejpam-5928	535	220	{	{	PUNCT
ejpam-5928	535	221	ϵ2	ϵ2	NOUN
ejpam-5928	535	222	}	}	PUNCT
ejpam-5928	535	223	)	)	PUNCT
ejpam-5928	535	224	,	,	PUNCT
ejpam-5928	535	225	(	(	PUNCT
ejpam-5928	535	226	ϑ2	ϑ2	NOUN
ejpam-5928	535	227	,	,	PUNCT
ejpam-5928	535	228	{	{	PUNCT
ejpam-5928	535	229	ϵ1	ϵ1	ADJ
ejpam-5928	535	230	,	,	PUNCT
ejpam-5928	535	231	ϵ3	ϵ3	PROPN
ejpam-5928	535	232	}	}	PUNCT
ejpam-5928	535	233	,	,	PUNCT
ejpam-5928	535	234	{	{	PUNCT
ejpam-5928	535	235	ϵ2	ϵ2	NOUN
ejpam-5928	535	236	}	}	PUNCT
ejpam-5928	535	237	)	)	PUNCT
ejpam-5928	535	238	}	}	PUNCT
ejpam-5928	535	239	and	and	CCONJ
ejpam-5928	535	240	(	(	PUNCT
ejpam-5928	535	241	ζ̈4	ζ̈4	NOUN
ejpam-5928	535	242	,	,	PUNCT
ejpam-5928	535	243	λ̈4	λ̈4	PROPN
ejpam-5928	535	244	,	,	PUNCT
ejpam-5928	535	245	µ	µ	NOUN
ejpam-5928	535	246	)	)	PUNCT
ejpam-5928	535	247	=	=	PRON
ejpam-5928	535	248	{	{	PUNCT
ejpam-5928	535	249	(	(	PUNCT
ejpam-5928	535	250	ϑ1	ϑ1	NOUN
ejpam-5928	535	251	,	,	PUNCT
ejpam-5928	535	252	{	{	PUNCT
ejpam-5928	535	253	ϵ2	ϵ2	PROPN
ejpam-5928	535	254	}	}	PUNCT
ejpam-5928	535	255	,	,	PUNCT
ejpam-5928	535	256	{	{	PUNCT
ejpam-5928	535	257	ϵ1	ϵ1	ADJ
ejpam-5928	535	258	}	}	PUNCT
ejpam-5928	535	259	)	)	PUNCT
ejpam-5928	535	260	,	,	PUNCT
ejpam-5928	535	261	(	(	PUNCT
ejpam-5928	535	262	ϑ2	ϑ2	NOUN
ejpam-5928	535	263	,	,	PUNCT
ejpam-5928	535	264	{	{	PUNCT
ejpam-5928	535	265	ϵ2	ϵ2	PROPN
ejpam-5928	535	266	}	}	PUNCT
ejpam-5928	535	267	,	,	PUNCT
ejpam-5928	535	268	{	{	PUNCT
ejpam-5928	535	269	ϵ1	ϵ1	ADJ
ejpam-5928	535	270	}	}	PUNCT
ejpam-5928	535	271	)	)	PUNCT
ejpam-5928	535	272	}	}	PUNCT
ejpam-5928	535	273	.	.	PUNCT
ejpam-5928	536	1	clearly	clearly	ADV
ejpam-5928	536	2	(	(	PUNCT
ejpam-5928	536	3	π	π	NOUN
ejpam-5928	536	4	,	,	PUNCT
ejpam-5928	536	5	˜̃m1	˜̃m1	PROPN
ejpam-5928	536	6	,	,	PUNCT
ejpam-5928	536	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	536	8	)	)	PUNCT
ejpam-5928	536	9	and	and	CCONJ
ejpam-5928	536	10	(	(	PUNCT
ejpam-5928	536	11	π	π	PROPN
ejpam-5928	536	12	,	,	PUNCT
ejpam-5928	536	13	˜̃m2	˜̃m2	NUM
ejpam-5928	536	14	,	,	PUNCT
ejpam-5928	536	15	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	536	16	)	)	PUNCT
ejpam-5928	536	17	are	be	AUX
ejpam-5928	536	18	bs	bs	ADJ
ejpam-5928	536	19	˜̃m	˜̃m	ADV
ejpam-5928	536	20	-	-	PUNCT
ejpam-5928	536	21	disconnected	disconnected	ADJ
ejpam-5928	536	22	spaces	space	NOUN
ejpam-5928	536	23	over	over	ADP
ejpam-5928	536	24	π	π	PROPN
ejpam-5928	536	25	where	where	SCONJ
ejpam-5928	536	26	˜̃m	˜̃m	ADJ
ejpam-5928	536	27	=	=	PUNCT
ejpam-5928	537	1	˜̃m1	˜̃m1	PROPN
ejpam-5928	537	2	˜̃∩	˜̃∩	ADP
ejpam-5928	537	3	˜̃m2	˜̃m2	NUM
ejpam-5928	537	4	.	.	PUNCT
ejpam-5928	538	1	but	but	CCONJ
ejpam-5928	538	2	we	we	PRON
ejpam-5928	538	3	note	note	VERB
ejpam-5928	538	4	that	that	SCONJ
ejpam-5928	538	5	˜̃m1	˜̃m1	PROPN
ejpam-5928	538	6	˜̃∩	˜̃∩	ADV
ejpam-5928	538	7	˜̃m2	˜̃m2	PROPN
ejpam-5928	538	8	=	=	SYM
ejpam-5928	538	9	{	{	PUNCT
ejpam-5928	538	10	(	(	PUNCT
ejpam-5928	538	11	φ	φ	PROPN
ejpam-5928	538	12	,	,	PUNCT
ejpam-5928	538	13	˜̃π	˜̃π	NOUN
ejpam-5928	538	14	,	,	PUNCT
ejpam-5928	538	15	µ	µ	NOUN
ejpam-5928	538	16	)	)	PUNCT
ejpam-5928	538	17	,	,	PUNCT
ejpam-5928	538	18	(	(	PUNCT
ejpam-5928	538	19	˜̃	˜̃	NOUN
ejpam-5928	538	20	π	π	PROPN
ejpam-5928	538	21	,	,	PUNCT
ejpam-5928	538	22	φ	φ	PROPN
ejpam-5928	538	23	,	,	PUNCT
ejpam-5928	538	24	µ	µ	NOUN
ejpam-5928	538	25	)	)	PUNCT
ejpam-5928	538	26	}	}	PUNCT
ejpam-5928	538	27	is	be	AUX
ejpam-5928	538	28	not	not	PART
ejpam-5928	538	29	a	a	DET
ejpam-5928	538	30	bs	bs	NOUN
ejpam-5928	538	31	˜̃m	˜̃m	ADV
ejpam-5928	538	32	-	-	PUNCT
ejpam-5928	538	33	disconnected	disconnected	ADJ
ejpam-5928	538	34	space	space	NOUN
ejpam-5928	538	35	over	over	ADP
ejpam-5928	538	36	π	π	PROPN
ejpam-5928	538	37	since	since	SCONJ
ejpam-5928	538	38	there	there	PRON
ejpam-5928	538	39	is	be	VERB
ejpam-5928	538	40	no	no	DET
ejpam-5928	538	41	two	two	NUM
ejpam-5928	538	42	bs	b	NOUN
ejpam-5928	538	43	˜̃m	˜̃m	ADJ
ejpam-5928	538	44	-	-	PUNCT
ejpam-5928	538	45	separation	separation	NOUN
ejpam-5928	538	46	of	of	ADP
ejpam-5928	538	47	(	(	PUNCT
ejpam-5928	538	48	˜̃	˜̃	NOUN
ejpam-5928	538	49	π	π	PROPN
ejpam-5928	538	50	,	,	PUNCT
ejpam-5928	538	51	φ	φ	PROPN
ejpam-5928	538	52	,	,	PUNCT
ejpam-5928	538	53	µ	µ	NOUN
ejpam-5928	538	54	)	)	PUNCT
ejpam-5928	538	55	in	in	ADP
ejpam-5928	538	56	˜̃m1	˜̃m1	PROPN
ejpam-5928	538	57	˜̃∩	˜̃∩	ADP
ejpam-5928	538	58	˜̃m2	˜̃m2	PROPN
ejpam-5928	538	59	.	.	PUNCT
ejpam-5928	539	1	proposition	proposition	NOUN
ejpam-5928	539	2	15	15	NUM
ejpam-5928	539	3	.	.	PUNCT
ejpam-5928	540	1	let	let	VERB
ejpam-5928	540	2	(	(	PUNCT
ejpam-5928	540	3	π	π	PROPN
ejpam-5928	540	4	,	,	PUNCT
ejpam-5928	540	5	˜̃m	˜̃m	PROPN
ejpam-5928	540	6	,	,	PUNCT
ejpam-5928	540	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	540	8	)	)	PUNCT
ejpam-5928	540	9	be	be	VERB
ejpam-5928	540	10	a	a	DET
ejpam-5928	540	11	bsms	bsms	NOUN
ejpam-5928	540	12	over	over	ADP
ejpam-5928	540	13	π	π	PROPN
ejpam-5928	540	14	.	.	PUNCT
ejpam-5928	541	1	if	if	SCONJ
ejpam-5928	541	2	there	there	PRON
ejpam-5928	541	3	exist	exist	VERB
ejpam-5928	541	4	a	a	DET
ejpam-5928	541	5	nonnull	nonnull	NOUN
ejpam-5928	541	6	,	,	PUNCT
ejpam-5928	541	7	non	non	ADJ
ejpam-5928	541	8	-	-	ADJ
ejpam-5928	541	9	absolute	absolute	ADJ
ejpam-5928	541	10	bs	bs	ADJ
ejpam-5928	541	11	˜̃m	˜̃m	ADV
ejpam-5928	541	12	-	-	PUNCT
ejpam-5928	541	13	clopen	clopen	ADJ
ejpam-5928	541	14	set	set	NOUN
ejpam-5928	541	15	(	(	PUNCT
ejpam-5928	541	16	ζ̈	ζ̈	PROPN
ejpam-5928	541	17	,	,	PUNCT
ejpam-5928	541	18	λ̈	λ̈	NOUN
ejpam-5928	541	19	,	,	PUNCT
ejpam-5928	541	20	µ	µ	NOUN
ejpam-5928	541	21	)	)	PUNCT
ejpam-5928	541	22	over	over	ADP
ejpam-5928	541	23	π	π	PROPN
ejpam-5928	541	24	with	with	ADP
ejpam-5928	541	25	ζ̈(ϑ	ζ̈(ϑ	NOUN
ejpam-5928	541	26	)	)	PUNCT
ejpam-5928	541	27	∪	∪	ADP
ejpam-5928	541	28	ζ̈c(ϑ	ζ̈c(ϑ	NOUN
ejpam-5928	541	29	)	)	PUNCT
ejpam-5928	541	30	=	=	PUNCT
ejpam-5928	541	31	π	π	X
ejpam-5928	541	32	for	for	ADP
ejpam-5928	541	33	each	each	DET
ejpam-5928	541	34	ϑ	ϑ	PROPN
ejpam-5928	541	35	∈	∈	PROPN
ejpam-5928	541	36	µ	µ	NOUN
ejpam-5928	541	37	,	,	PUNCT
ejpam-5928	541	38	then	then	ADV
ejpam-5928	541	39	(	(	PUNCT
ejpam-5928	541	40	π	π	PROPN
ejpam-5928	541	41	,	,	PUNCT
ejpam-5928	541	42	˜̃m	˜̃m	PROPN
ejpam-5928	541	43	,	,	PUNCT
ejpam-5928	541	44	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	541	45	)	)	PUNCT
ejpam-5928	541	46	is	be	AUX
ejpam-5928	541	47	bs	bs	ADJ
ejpam-5928	541	48	˜̃m	˜̃m	ADV
ejpam-5928	541	49	-	-	PUNCT
ejpam-5928	541	50	disconnected	disconnected	ADJ
ejpam-5928	541	51	.	.	PUNCT
ejpam-5928	542	1	proof	proof	NOUN
ejpam-5928	542	2	.	.	PUNCT
ejpam-5928	543	1	since	since	SCONJ
ejpam-5928	543	2	(	(	PUNCT
ejpam-5928	543	3	ζ̈	ζ̈	NOUN
ejpam-5928	543	4	,	,	PUNCT
ejpam-5928	543	5	λ̈	λ̈	NOUN
ejpam-5928	543	6	,	,	PUNCT
ejpam-5928	543	7	µ	µ	NOUN
ejpam-5928	543	8	)	)	PUNCT
ejpam-5928	543	9	is	be	AUX
ejpam-5928	543	10	a	a	DET
ejpam-5928	543	11	nonnull	nonnull	NOUN
ejpam-5928	543	12	,	,	PUNCT
ejpam-5928	543	13	non	non	ADJ
ejpam-5928	543	14	-	-	ADJ
ejpam-5928	543	15	absolute	absolute	ADJ
ejpam-5928	543	16	bs	bs	ADJ
ejpam-5928	543	17	˜̃m	˜̃m	ADV
ejpam-5928	543	18	-	-	PUNCT
ejpam-5928	543	19	clopen	clopen	ADJ
ejpam-5928	543	20	set	set	NOUN
ejpam-5928	543	21	,	,	PUNCT
ejpam-5928	543	22	then	then	ADV
ejpam-5928	543	23	(	(	PUNCT
ejpam-5928	543	24	ζ̈	ζ̈	NOUN
ejpam-5928	543	25	,	,	PUNCT
ejpam-5928	543	26	λ̈	λ̈	ADJ
ejpam-5928	543	27	,	,	PUNCT
ejpam-5928	543	28	µ)c	µ)c	ADV
ejpam-5928	543	29	is	be	AUX
ejpam-5928	543	30	a	a	DET
ejpam-5928	543	31	nonnull	nonnull	ADJ
ejpam-5928	543	32	non	non	ADJ
ejpam-5928	543	33	-	-	ADJ
ejpam-5928	543	34	absolute	absolute	ADJ
ejpam-5928	543	35	bs	bs	ADJ
ejpam-5928	543	36	˜̃m	˜̃m	ADV
ejpam-5928	543	37	-	-	PUNCT
ejpam-5928	543	38	clopen	clopen	ADJ
ejpam-5928	543	39	set	set	NOUN
ejpam-5928	543	40	.	.	PUNCT
ejpam-5928	544	1	by	by	ADP
ejpam-5928	544	2	proposition	proposition	NOUN
ejpam-5928	544	3	2	2	NUM
ejpam-5928	544	4	and	and	CCONJ
ejpam-5928	544	5	the	the	DET
ejpam-5928	544	6	assumption	assumption	NOUN
ejpam-5928	544	7	,	,	PUNCT
ejpam-5928	544	8	we	we	PRON
ejpam-5928	544	9	get	get	VERB
ejpam-5928	544	10	r.	r.	PROPN
ejpam-5928	544	11	a.	a.	PROPN
ejpam-5928	544	12	mohammed	mohammed	PROPN
ejpam-5928	544	13	/	/	SYM
ejpam-5928	544	14	eur	eur	PROPN
ejpam-5928	544	15	.	.	PUNCT
ejpam-5928	545	1	j.	j.	PROPN
ejpam-5928	545	2	pure	pure	PROPN
ejpam-5928	545	3	appl	appl	PROPN
ejpam-5928	545	4	.	.	PROPN
ejpam-5928	545	5	math	math	PROPN
ejpam-5928	545	6	,	,	PUNCT
ejpam-5928	545	7	18	18	NUM
ejpam-5928	545	8	(	(	PUNCT
ejpam-5928	545	9	2	2	NUM
ejpam-5928	545	10	)	)	PUNCT
ejpam-5928	545	11	(	(	PUNCT
ejpam-5928	545	12	2025	2025	NUM
ejpam-5928	545	13	)	)	PUNCT
ejpam-5928	545	14	,	,	PUNCT
ejpam-5928	545	15	5928	5928	NUM
ejpam-5928	545	16	21	21	NUM
ejpam-5928	545	17	of	of	ADP
ejpam-5928	545	18	26	26	NUM
ejpam-5928	545	19	ζ̈(ϑ	ζ̈(ϑ	NUM
ejpam-5928	545	20	)	)	PUNCT
ejpam-5928	545	21	∪	∪	ADP
ejpam-5928	545	22	ζ̈c(ϑ	ζ̈c(ϑ	NOUN
ejpam-5928	545	23	)	)	PUNCT
ejpam-5928	546	1	=	=	PUNCT
ejpam-5928	546	2	π	π	X
ejpam-5928	546	3	for	for	ADP
ejpam-5928	546	4	each	each	DET
ejpam-5928	546	5	ϑ	ϑ	X
ejpam-5928	546	6	∈	∈	PROPN
ejpam-5928	546	7	µ	µ	X
ejpam-5928	546	8	and	and	CCONJ
ejpam-5928	546	9	λ̈(¬ϑ	λ̈(¬ϑ	NOUN
ejpam-5928	546	10	)	)	PUNCT
ejpam-5928	546	11	∩	∩	NOUN
ejpam-5928	546	12	λ̈c(¬ϑ	λ̈c(¬ϑ	X
ejpam-5928	546	13	)	)	PUNCT
ejpam-5928	546	14	=	=	SYM
ejpam-5928	546	15	ϕ	ϕ	PROPN
ejpam-5928	546	16	for	for	ADP
ejpam-5928	546	17	each	each	DET
ejpam-5928	546	18	¬ϑ	¬ϑ	PROPN
ejpam-5928	546	19	∈	∈	PROPN
ejpam-5928	546	20	µ	µ	NOUN
ejpam-5928	546	21	,	,	PUNCT
ejpam-5928	546	22	and	and	CCONJ
ejpam-5928	546	23	ζ̈(ϑ	ζ̈(ϑ	NOUN
ejpam-5928	546	24	)	)	PUNCT
ejpam-5928	546	25	∩	∩	NOUN
ejpam-5928	546	26	ζ̈c(ϑ	ζ̈c(ϑ	NUM
ejpam-5928	546	27	)	)	PUNCT
ejpam-5928	547	1	=	=	SYM
ejpam-5928	547	2	ϕ	ϕ	PROPN
ejpam-5928	547	3	for	for	ADP
ejpam-5928	547	4	each	each	DET
ejpam-5928	547	5	ϑ	ϑ	X
ejpam-5928	547	6	∈	∈	PROPN
ejpam-5928	547	7	µ	µ	X
ejpam-5928	547	8	and	and	CCONJ
ejpam-5928	547	9	λ̈(¬ϑ	λ̈(¬ϑ	NOUN
ejpam-5928	547	10	)	)	PUNCT
ejpam-5928	547	11	∪	∪	ADP
ejpam-5928	547	12	λ̈c(¬ϑ	λ̈c(¬ϑ	NOUN
ejpam-5928	547	13	)	)	PUNCT
ejpam-5928	547	14	=	=	PUNCT
ejpam-5928	547	15	π	π	PROPN
ejpam-5928	547	16	for	for	ADP
ejpam-5928	547	17	each	each	DET
ejpam-5928	547	18	¬ϑ	¬ϑ	PROPN
ejpam-5928	547	19	∈	∈	PROPN
ejpam-5928	547	20	µ	µ	NOUN
ejpam-5928	547	21	,	,	PUNCT
ejpam-5928	547	22	therefore	therefore	ADV
ejpam-5928	547	23	,	,	PUNCT
ejpam-5928	547	24	(	(	PUNCT
ejpam-5928	547	25	ζ̈	ζ̈	NOUN
ejpam-5928	547	26	,	,	PUNCT
ejpam-5928	547	27	λ̈	λ̈	NOUN
ejpam-5928	547	28	,	,	PUNCT
ejpam-5928	547	29	µ	µ	NOUN
ejpam-5928	547	30	)	)	PUNCT
ejpam-5928	547	31	and	and	CCONJ
ejpam-5928	547	32	(	(	PUNCT
ejpam-5928	547	33	ζ̈	ζ̈	NOUN
ejpam-5928	547	34	,	,	PUNCT
ejpam-5928	547	35	λ̈	λ̈	ADJ
ejpam-5928	547	36	,	,	PUNCT
ejpam-5928	547	37	µ)c	µ)c	PUNCT
ejpam-5928	547	38	form	form	VERB
ejpam-5928	547	39	a	a	DET
ejpam-5928	547	40	bs	bs	NOUN
ejpam-5928	547	41	˜̃m	˜̃m	ADJ
ejpam-5928	547	42	-	-	PUNCT
ejpam-5928	547	43	separation	separation	NOUN
ejpam-5928	547	44	of	of	ADP
ejpam-5928	547	45	(	(	PUNCT
ejpam-5928	547	46	˜̃	˜̃	NOUN
ejpam-5928	547	47	π	π	PROPN
ejpam-5928	547	48	,	,	PUNCT
ejpam-5928	547	49	φ	φ	PROPN
ejpam-5928	547	50	,	,	PUNCT
ejpam-5928	547	51	µ	µ	NOUN
ejpam-5928	547	52	)	)	PUNCT
ejpam-5928	547	53	.	.	PUNCT
ejpam-5928	548	1	hence	hence	ADV
ejpam-5928	548	2	,	,	PUNCT
ejpam-5928	548	3	(	(	PUNCT
ejpam-5928	548	4	π	π	NOUN
ejpam-5928	548	5	,	,	PUNCT
ejpam-5928	548	6	˜̃m	˜̃m	PROPN
ejpam-5928	548	7	,	,	PUNCT
ejpam-5928	548	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	548	9	)	)	PUNCT
ejpam-5928	548	10	is	be	AUX
ejpam-5928	548	11	a	a	DET
ejpam-5928	548	12	bs	bs	NOUN
ejpam-5928	548	13	˜̃m	˜̃m	ADV
ejpam-5928	548	14	-	-	PUNCT
ejpam-5928	548	15	disconnected	disconnected	ADJ
ejpam-5928	548	16	space	space	NOUN
ejpam-5928	548	17	.	.	PUNCT
ejpam-5928	549	1	remark	remark	NOUN
ejpam-5928	549	2	5	5	NUM
ejpam-5928	549	3	.	.	PUNCT
ejpam-5928	550	1	if	if	SCONJ
ejpam-5928	550	2	there	there	PRON
ejpam-5928	550	3	exist	exist	VERB
ejpam-5928	550	4	a	a	DET
ejpam-5928	550	5	nonnull	nonnull	NOUN
ejpam-5928	550	6	,	,	PUNCT
ejpam-5928	550	7	non	non	ADJ
ejpam-5928	550	8	-	-	ADJ
ejpam-5928	550	9	absolute	absolute	ADJ
ejpam-5928	550	10	bs	bs	ADJ
ejpam-5928	550	11	˜̃m	˜̃m	ADV
ejpam-5928	550	12	-	-	PUNCT
ejpam-5928	550	13	clopen	clopen	ADJ
ejpam-5928	550	14	set	set	NOUN
ejpam-5928	550	15	,	,	PUNCT
ejpam-5928	550	16	then	then	ADV
ejpam-5928	550	17	(	(	PUNCT
ejpam-5928	550	18	π	π	PROPN
ejpam-5928	550	19	,	,	PUNCT
ejpam-5928	550	20	˜̃m	˜̃m	PROPN
ejpam-5928	550	21	,	,	PUNCT
ejpam-5928	550	22	µ,¬µ	µ,¬µ	ADJ
ejpam-5928	550	23	)	)	PUNCT
ejpam-5928	550	24	may	may	AUX
ejpam-5928	550	25	not	not	PART
ejpam-5928	550	26	be	be	AUX
ejpam-5928	550	27	a	a	DET
ejpam-5928	550	28	bs	bs	NOUN
ejpam-5928	550	29	˜̃m	˜̃m	ADV
ejpam-5928	550	30	-	-	PUNCT
ejpam-5928	550	31	disconnected	disconnected	ADJ
ejpam-5928	550	32	space	space	NOUN
ejpam-5928	550	33	.	.	PUNCT
ejpam-5928	550	34	example	example	NOUN
ejpam-5928	551	1	11	11	NUM
ejpam-5928	551	2	.	.	PUNCT
ejpam-5928	552	1	let	let	VERB
ejpam-5928	552	2	π	π	NOUN
ejpam-5928	552	3	=	=	PUNCT
ejpam-5928	552	4	{	{	PUNCT
ejpam-5928	552	5	ϵ1	ϵ1	ADJ
ejpam-5928	552	6	,	,	PUNCT
ejpam-5928	552	7	ϵ2	ϵ2	ADJ
ejpam-5928	552	8	,	,	PUNCT
ejpam-5928	552	9	ϵ3	ϵ3	PROPN
ejpam-5928	552	10	}	}	PUNCT
ejpam-5928	552	11	,	,	PUNCT
ejpam-5928	552	12	µ	µ	X
ejpam-5928	552	13	=	=	SYM
ejpam-5928	552	14	{	{	PUNCT
ejpam-5928	552	15	ϑ1	ϑ1	NOUN
ejpam-5928	552	16	,	,	PUNCT
ejpam-5928	552	17	ϑ2	ϑ2	PROPN
ejpam-5928	552	18	}	}	PUNCT
ejpam-5928	552	19	,	,	PUNCT
ejpam-5928	552	20	˜̃m1	˜̃m1	NOUN
ejpam-5928	552	21	=	=	SYM
ejpam-5928	552	22	{	{	PUNCT
ejpam-5928	552	23	(	(	PUNCT
ejpam-5928	552	24	φ	φ	PROPN
ejpam-5928	552	25	,	,	PUNCT
ejpam-5928	552	26	˜̃π	˜̃π	NOUN
ejpam-5928	552	27	,	,	PUNCT
ejpam-5928	552	28	µ	µ	NOUN
ejpam-5928	552	29	)	)	PUNCT
ejpam-5928	552	30	,	,	PUNCT
ejpam-5928	552	31	(	(	PUNCT
ejpam-5928	552	32	˜̃	˜̃	NOUN
ejpam-5928	552	33	π	π	PROPN
ejpam-5928	552	34	,	,	PUNCT
ejpam-5928	552	35	φ	φ	PROPN
ejpam-5928	552	36	,	,	PUNCT
ejpam-5928	552	37	µ	µ	NOUN
ejpam-5928	552	38	)	)	PUNCT
ejpam-5928	552	39	,	,	PUNCT
ejpam-5928	552	40	(	(	PUNCT
ejpam-5928	552	41	ζ̈1	ζ̈1	ADJ
ejpam-5928	552	42	,	,	PUNCT
ejpam-5928	552	43	λ̈1	λ̈1	PROPN
ejpam-5928	552	44	,	,	PUNCT
ejpam-5928	552	45	µ	µ	NOUN
ejpam-5928	552	46	)	)	PUNCT
ejpam-5928	552	47	,	,	PUNCT
ejpam-5928	552	48	(	(	PUNCT
ejpam-5928	552	49	ζ̈2	ζ̈2	PROPN
ejpam-5928	552	50	,	,	PUNCT
ejpam-5928	552	51	λ̈2	λ̈2	NOUN
ejpam-5928	552	52	,	,	PUNCT
ejpam-5928	552	53	µ	µ	NOUN
ejpam-5928	552	54	)	)	PUNCT
ejpam-5928	552	55	,	,	PUNCT
ejpam-5928	552	56	(	(	PUNCT
ejpam-5928	552	57	ζ̈3	ζ̈3	PROPN
ejpam-5928	552	58	,	,	PUNCT
ejpam-5928	552	59	λ̈3	λ̈3	NOUN
ejpam-5928	552	60	,	,	PUNCT
ejpam-5928	552	61	µ	µ	NOUN
ejpam-5928	552	62	)	)	PUNCT
ejpam-5928	552	63	}	}	PUNCT
ejpam-5928	552	64	,	,	PUNCT
ejpam-5928	552	65	where	where	SCONJ
ejpam-5928	552	66	(	(	PUNCT
ejpam-5928	552	67	ζ̈1	ζ̈1	ADJ
ejpam-5928	552	68	,	,	PUNCT
ejpam-5928	552	69	λ̈1	λ̈1	PROPN
ejpam-5928	552	70	,	,	PUNCT
ejpam-5928	552	71	µ	µ	NOUN
ejpam-5928	552	72	)	)	PUNCT
ejpam-5928	552	73	,	,	PUNCT
ejpam-5928	552	74	(	(	PUNCT
ejpam-5928	552	75	ζ̈2	ζ̈2	PROPN
ejpam-5928	552	76	,	,	PUNCT
ejpam-5928	552	77	λ̈2	λ̈2	NOUN
ejpam-5928	552	78	,	,	PUNCT
ejpam-5928	552	79	µ	µ	NOUN
ejpam-5928	552	80	)	)	PUNCT
ejpam-5928	552	81	,	,	PUNCT
ejpam-5928	552	82	(	(	PUNCT
ejpam-5928	552	83	ζ̈3	ζ̈3	PROPN
ejpam-5928	552	84	,	,	PUNCT
ejpam-5928	552	85	λ̈3	λ̈3	NOUN
ejpam-5928	552	86	,	,	PUNCT
ejpam-5928	552	87	µ	µ	NOUN
ejpam-5928	552	88	)	)	PUNCT
ejpam-5928	552	89	˜̃∈	˜̃∈	PROPN
ejpam-5928	552	90	bss(π	bss(π	PROPN
ejpam-5928	552	91	)	)	PUNCT
ejpam-5928	552	92	defined	define	VERB
ejpam-5928	552	93	as	as	ADP
ejpam-5928	552	94	follows	follow	VERB
ejpam-5928	552	95	(	(	PUNCT
ejpam-5928	552	96	ζ̈1	ζ̈1	ADJ
ejpam-5928	552	97	,	,	PUNCT
ejpam-5928	552	98	λ̈1	λ̈1	PROPN
ejpam-5928	552	99	,	,	PUNCT
ejpam-5928	552	100	µ	µ	NOUN
ejpam-5928	552	101	)	)	PUNCT
ejpam-5928	552	102	=	=	PRON
ejpam-5928	552	103	{	{	PUNCT
ejpam-5928	552	104	(	(	PUNCT
ejpam-5928	552	105	ϑ1	ϑ1	NOUN
ejpam-5928	552	106	,	,	PUNCT
ejpam-5928	552	107	{	{	PUNCT
ejpam-5928	552	108	ϵ1	ϵ1	ADJ
ejpam-5928	552	109	,	,	PUNCT
ejpam-5928	552	110	ϵ2	ϵ2	ADJ
ejpam-5928	552	111	}	}	PUNCT
ejpam-5928	552	112	,	,	PUNCT
ejpam-5928	552	113	{	{	PUNCT
ejpam-5928	552	114	ϵ3	ϵ3	PROPN
ejpam-5928	552	115	}	}	PUNCT
ejpam-5928	552	116	)	)	PUNCT
ejpam-5928	552	117	,	,	PUNCT
ejpam-5928	552	118	(	(	PUNCT
ejpam-5928	552	119	ϑ2	ϑ2	NOUN
ejpam-5928	552	120	,	,	PUNCT
ejpam-5928	552	121	{	{	PUNCT
ejpam-5928	552	122	ϵ1	ϵ1	ADJ
ejpam-5928	552	123	}	}	PUNCT
ejpam-5928	552	124	,	,	PUNCT
ejpam-5928	552	125	{	{	PUNCT
ejpam-5928	552	126	ϵ3	ϵ3	PROPN
ejpam-5928	552	127	}	}	PUNCT
ejpam-5928	552	128	)	)	PUNCT
ejpam-5928	552	129	}	}	PUNCT
ejpam-5928	552	130	,	,	PUNCT
ejpam-5928	552	131	(	(	PUNCT
ejpam-5928	552	132	ζ̈2	ζ̈2	PROPN
ejpam-5928	552	133	,	,	PUNCT
ejpam-5928	552	134	λ̈2	λ̈2	NOUN
ejpam-5928	552	135	,	,	PUNCT
ejpam-5928	552	136	µ	µ	NOUN
ejpam-5928	552	137	)	)	PUNCT
ejpam-5928	552	138	=	=	PRON
ejpam-5928	552	139	{	{	PUNCT
ejpam-5928	552	140	(	(	PUNCT
ejpam-5928	552	141	ϑ1	ϑ1	NOUN
ejpam-5928	552	142	,	,	PUNCT
ejpam-5928	552	143	{	{	PUNCT
ejpam-5928	552	144	ϵ3	ϵ3	PROPN
ejpam-5928	552	145	}	}	PUNCT
ejpam-5928	552	146	,	,	PUNCT
ejpam-5928	552	147	{	{	PUNCT
ejpam-5928	552	148	ϵ1	ϵ1	ADJ
ejpam-5928	552	149	,	,	PUNCT
ejpam-5928	552	150	ϵ2	ϵ2	ADJ
ejpam-5928	552	151	}	}	PUNCT
ejpam-5928	552	152	)	)	PUNCT
ejpam-5928	552	153	,	,	PUNCT
ejpam-5928	552	154	(	(	PUNCT
ejpam-5928	552	155	ϑ2	ϑ2	NOUN
ejpam-5928	552	156	,	,	PUNCT
ejpam-5928	552	157	{	{	PUNCT
ejpam-5928	552	158	ϵ3	ϵ3	PROPN
ejpam-5928	552	159	}	}	PUNCT
ejpam-5928	552	160	,	,	PUNCT
ejpam-5928	552	161	{	{	PUNCT
ejpam-5928	552	162	ϵ1	ϵ1	ADJ
ejpam-5928	552	163	}	}	PUNCT
ejpam-5928	552	164	)	)	PUNCT
ejpam-5928	552	165	}	}	PUNCT
ejpam-5928	552	166	and	and	CCONJ
ejpam-5928	552	167	(	(	PUNCT
ejpam-5928	552	168	ζ̈3	ζ̈3	PROPN
ejpam-5928	552	169	,	,	PUNCT
ejpam-5928	552	170	λ̈3	λ̈3	NOUN
ejpam-5928	552	171	,	,	PUNCT
ejpam-5928	552	172	µ	µ	NOUN
ejpam-5928	552	173	)	)	PUNCT
ejpam-5928	552	174	=	=	PRON
ejpam-5928	552	175	{	{	PUNCT
ejpam-5928	552	176	(	(	PUNCT
ejpam-5928	552	177	ϑ1,π	ϑ1,π	PROPN
ejpam-5928	552	178	,	,	PUNCT
ejpam-5928	552	179	ϕ	ϕ	NOUN
ejpam-5928	552	180	)	)	PUNCT
ejpam-5928	552	181	,	,	PUNCT
ejpam-5928	552	182	(	(	PUNCT
ejpam-5928	552	183	ϑ2	ϑ2	NOUN
ejpam-5928	552	184	,	,	PUNCT
ejpam-5928	552	185	{	{	PUNCT
ejpam-5928	552	186	ϵ1	ϵ1	ADJ
ejpam-5928	552	187	,	,	PUNCT
ejpam-5928	552	188	ϵ3	ϵ3	PROPN
ejpam-5928	552	189	}	}	PUNCT
ejpam-5928	552	190	,	,	PUNCT
ejpam-5928	552	191	ϕ	ϕ	NOUN
ejpam-5928	552	192	)	)	PUNCT
ejpam-5928	552	193	}	}	PUNCT
ejpam-5928	552	194	.	.	PUNCT
ejpam-5928	553	1	obviously	obviously	ADV
ejpam-5928	553	2	,	,	PUNCT
ejpam-5928	553	3	(	(	PUNCT
ejpam-5928	553	4	ζ̈1	ζ̈1	ADJ
ejpam-5928	553	5	,	,	PUNCT
ejpam-5928	553	6	λ̈1	λ̈1	PROPN
ejpam-5928	553	7	,	,	PUNCT
ejpam-5928	553	8	µ	µ	NOUN
ejpam-5928	553	9	)	)	PUNCT
ejpam-5928	553	10	is	be	AUX
ejpam-5928	553	11	nonnull	nonnull	NOUN
ejpam-5928	553	12	,	,	PUNCT
ejpam-5928	553	13	non	non	ADJ
ejpam-5928	553	14	-	-	ADJ
ejpam-5928	553	15	absolute	absolute	ADJ
ejpam-5928	553	16	bs	bs	NOUN
ejpam-5928	553	17	˜̃m	˜̃m	ADV
ejpam-5928	553	18	-	-	PUNCT
ejpam-5928	553	19	clopen	clopen	ADJ
ejpam-5928	553	20	but	but	CCONJ
ejpam-5928	553	21	(	(	PUNCT
ejpam-5928	553	22	π	π	PROPN
ejpam-5928	553	23	,	,	PUNCT
ejpam-5928	553	24	˜̃m	˜̃m	PROPN
ejpam-5928	553	25	,	,	PUNCT
ejpam-5928	553	26	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	553	27	)	)	PUNCT
ejpam-5928	553	28	is	be	AUX
ejpam-5928	553	29	not	not	PART
ejpam-5928	553	30	a	a	DET
ejpam-5928	553	31	bs˜̃m	bs˜̃m	ADJ
ejpam-5928	553	32	-	-	PUNCT
ejpam-5928	553	33	disconnected	disconnected	ADJ
ejpam-5928	553	34	space	space	NOUN
ejpam-5928	553	35	since	since	SCONJ
ejpam-5928	553	36	there	there	PRON
ejpam-5928	553	37	does	do	AUX
ejpam-5928	553	38	not	not	PART
ejpam-5928	553	39	exist	exist	VERB
ejpam-5928	553	40	bs	bs	ADJ
ejpam-5928	553	41	˜̃m	˜̃m	ADJ
ejpam-5928	553	42	-	-	PUNCT
ejpam-5928	553	43	separation	separation	NOUN
ejpam-5928	553	44	of	of	ADP
ejpam-5928	553	45	(	(	PUNCT
ejpam-5928	553	46	˜̃	˜̃	NOUN
ejpam-5928	553	47	π	π	PROPN
ejpam-5928	553	48	,	,	PUNCT
ejpam-5928	553	49	φ	φ	PROPN
ejpam-5928	553	50	,	,	PUNCT
ejpam-5928	553	51	µ	µ	NOUN
ejpam-5928	553	52	)	)	PUNCT
ejpam-5928	553	53	.	.	PUNCT
ejpam-5928	554	1	proposition	proposition	NOUN
ejpam-5928	554	2	16	16	NUM
ejpam-5928	554	3	.	.	PUNCT
ejpam-5928	555	1	let	let	VERB
ejpam-5928	555	2	(	(	PUNCT
ejpam-5928	555	3	π	π	NOUN
ejpam-5928	555	4	,	,	PUNCT
ejpam-5928	555	5	˜̃m1	˜̃m1	PROPN
ejpam-5928	555	6	,	,	PUNCT
ejpam-5928	555	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	555	8	)	)	PUNCT
ejpam-5928	555	9	and	and	CCONJ
ejpam-5928	555	10	(	(	PUNCT
ejpam-5928	555	11	π	π	PROPN
ejpam-5928	555	12	,	,	PUNCT
ejpam-5928	555	13	˜̃m2	˜̃m2	NUM
ejpam-5928	555	14	,	,	PUNCT
ejpam-5928	555	15	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	555	16	)	)	PUNCT
ejpam-5928	555	17	be	be	VERB
ejpam-5928	555	18	two	two	NUM
ejpam-5928	555	19	bsmss	bsmss	NOUN
ejpam-5928	555	20	over	over	ADP
ejpam-5928	555	21	π	π	PROPN
ejpam-5928	555	22	.	.	PUNCT
ejpam-5928	556	1	then	then	ADV
ejpam-5928	556	2	,	,	PUNCT
ejpam-5928	556	3	(	(	PUNCT
ejpam-5928	556	4	i	i	NOUN
ejpam-5928	556	5	)	)	PUNCT
ejpam-5928	556	6	if	if	SCONJ
ejpam-5928	556	7	(	(	PUNCT
ejpam-5928	556	8	π	π	NOUN
ejpam-5928	556	9	,	,	PUNCT
ejpam-5928	556	10	˜̃m1	˜̃m1	PROPN
ejpam-5928	556	11	,	,	PUNCT
ejpam-5928	556	12	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	556	13	)	)	PUNCT
ejpam-5928	556	14	is	be	AUX
ejpam-5928	556	15	a	a	DET
ejpam-5928	556	16	bs	bs	NOUN
ejpam-5928	557	1	˜̃m1	˜̃m1	NOUN
ejpam-5928	557	2	-	-	PUNCT
ejpam-5928	557	3	connected	connect	VERB
ejpam-5928	557	4	s.	s.	PROPN
ejpam-5928	557	5	t.	t.	PROPN
ejpam-5928	557	6	˜̃m2	˜̃m2	PROPN
ejpam-5928	558	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	558	2	˜̃m1	˜̃m1	PROPN
ejpam-5928	558	3	,	,	PUNCT
ejpam-5928	558	4	then	then	ADV
ejpam-5928	558	5	(	(	PUNCT
ejpam-5928	558	6	π	π	PROPN
ejpam-5928	558	7	,	,	PUNCT
ejpam-5928	558	8	˜̃m2	˜̃m2	NUM
ejpam-5928	558	9	,	,	PUNCT
ejpam-5928	558	10	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	558	11	)	)	PUNCT
ejpam-5928	558	12	is	be	AUX
ejpam-5928	558	13	a	a	DET
ejpam-5928	558	14	bs˜̃m2	bs˜̃m2	NOUN
ejpam-5928	558	15	-	-	PUNCT
ejpam-5928	558	16	connected	connect	VERB
ejpam-5928	558	17	.	.	PUNCT
ejpam-5928	559	1	(	(	PUNCT
ejpam-5928	559	2	ii	ii	NOUN
ejpam-5928	559	3	)	)	PUNCT
ejpam-5928	559	4	if	if	SCONJ
ejpam-5928	559	5	(	(	PUNCT
ejpam-5928	559	6	π	π	NOUN
ejpam-5928	559	7	,	,	PUNCT
ejpam-5928	559	8	˜̃m1	˜̃m1	PROPN
ejpam-5928	559	9	,	,	PUNCT
ejpam-5928	559	10	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	559	11	)	)	PUNCT
ejpam-5928	559	12	is	be	AUX
ejpam-5928	559	13	a	a	DET
ejpam-5928	559	14	bs	bs	NOUN
ejpam-5928	560	1	˜̃m1	˜̃m1	NOUN
ejpam-5928	560	2	-	-	PUNCT
ejpam-5928	560	3	disconnected	disconnected	ADJ
ejpam-5928	560	4	s.	s.	PROPN
ejpam-5928	560	5	t.	t.	PROPN
ejpam-5928	560	6	˜̃m1	˜̃m1	PROPN
ejpam-5928	560	7	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	560	8	˜̃m2	˜̃m2	PROPN
ejpam-5928	560	9	,	,	PUNCT
ejpam-5928	560	10	then	then	ADV
ejpam-5928	560	11	(	(	PUNCT
ejpam-5928	560	12	π	π	PROPN
ejpam-5928	560	13	,	,	PUNCT
ejpam-5928	560	14	˜̃m2	˜̃m2	NUM
ejpam-5928	560	15	,	,	PUNCT
ejpam-5928	560	16	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	560	17	)	)	PUNCT
ejpam-5928	560	18	is	be	AUX
ejpam-5928	560	19	a	a	DET
ejpam-5928	560	20	bs˜̃m2	bs˜̃m2	NOUN
ejpam-5928	560	21	-	-	ADJ
ejpam-5928	560	22	disconnected	disconnected	ADJ
ejpam-5928	560	23	.	.	PUNCT
ejpam-5928	561	1	proof	proof	NOUN
ejpam-5928	561	2	.	.	PUNCT
ejpam-5928	562	1	(	(	PUNCT
ejpam-5928	562	2	i	i	NOUN
ejpam-5928	562	3	)	)	PUNCT
ejpam-5928	562	4	assume	assume	VERB
ejpam-5928	562	5	that	that	SCONJ
ejpam-5928	562	6	(	(	PUNCT
ejpam-5928	562	7	π	π	NOUN
ejpam-5928	562	8	,	,	PUNCT
ejpam-5928	562	9	˜̃m1	˜̃m1	PROPN
ejpam-5928	562	10	,	,	PUNCT
ejpam-5928	562	11	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	562	12	)	)	PUNCT
ejpam-5928	562	13	is	be	AUX
ejpam-5928	562	14	a	a	DET
ejpam-5928	562	15	bs	bs	NOUN
ejpam-5928	562	16	˜̃m1	˜̃m1	NOUN
ejpam-5928	562	17	-	-	PUNCT
ejpam-5928	562	18	connected	connect	VERB
ejpam-5928	562	19	s.	s.	PROPN
ejpam-5928	562	20	t.	t.	PROPN
ejpam-5928	562	21	˜̃m2	˜̃m2	PROPN
ejpam-5928	563	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	563	2	˜̃m1	˜̃m1	PROPN
ejpam-5928	563	3	.	.	PROPN
ejpam-5928	563	4	assume	assume	VERB
ejpam-5928	563	5	the	the	DET
ejpam-5928	563	6	contrary	contrary	NOUN
ejpam-5928	563	7	that	that	SCONJ
ejpam-5928	563	8	(	(	PUNCT
ejpam-5928	563	9	ζ̈1	ζ̈1	ADJ
ejpam-5928	563	10	,	,	PUNCT
ejpam-5928	563	11	λ̈1	λ̈1	PROPN
ejpam-5928	563	12	,	,	PUNCT
ejpam-5928	563	13	µ	µ	NOUN
ejpam-5928	563	14	)	)	PUNCT
ejpam-5928	563	15	and	and	CCONJ
ejpam-5928	563	16	(	(	PUNCT
ejpam-5928	563	17	ζ̈2	ζ̈2	PROPN
ejpam-5928	563	18	,	,	PUNCT
ejpam-5928	563	19	λ̈2	λ̈2	NOUN
ejpam-5928	563	20	,	,	PUNCT
ejpam-5928	563	21	µ	µ	NOUN
ejpam-5928	563	22	)	)	PUNCT
ejpam-5928	563	23	are	be	AUX
ejpam-5928	563	24	bs	bs	PRON
ejpam-5928	563	25	˜̃m2	˜̃m2	NUM
ejpam-5928	563	26	-	-	PUNCT
ejpam-5928	563	27	separation	separation	NOUN
ejpam-5928	563	28	of	of	ADP
ejpam-5928	563	29	(	(	PUNCT
ejpam-5928	563	30	˜̃	˜̃	NOUN
ejpam-5928	563	31	π	π	PROPN
ejpam-5928	563	32	,	,	PUNCT
ejpam-5928	563	33	φ	φ	PROPN
ejpam-5928	563	34	,	,	PUNCT
ejpam-5928	563	35	µ	µ	NOUN
ejpam-5928	563	36	)	)	PUNCT
ejpam-5928	563	37	in	in	ADP
ejpam-5928	563	38	(	(	PUNCT
ejpam-5928	563	39	π	π	PROPN
ejpam-5928	563	40	,	,	PUNCT
ejpam-5928	563	41	˜̃m2	˜̃m2	NUM
ejpam-5928	563	42	,	,	PUNCT
ejpam-5928	563	43	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	563	44	)	)	PUNCT
ejpam-5928	563	45	.	.	PUNCT
ejpam-5928	564	1	since	since	SCONJ
ejpam-5928	564	2	˜̃m2	˜̃m2	PROPN
ejpam-5928	564	3	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	564	4	˜̃m1	˜̃m1	PROPN
ejpam-5928	564	5	,	,	PUNCT
ejpam-5928	564	6	then	then	ADV
ejpam-5928	564	7	(	(	PUNCT
ejpam-5928	564	8	ζ̈1	ζ̈1	ADJ
ejpam-5928	564	9	,	,	PUNCT
ejpam-5928	564	10	λ̈1	λ̈1	PROPN
ejpam-5928	564	11	,	,	PUNCT
ejpam-5928	564	12	µ	µ	NOUN
ejpam-5928	564	13	)	)	PUNCT
ejpam-5928	564	14	,	,	PUNCT
ejpam-5928	564	15	(	(	PUNCT
ejpam-5928	564	16	ζ̈2	ζ̈2	PROPN
ejpam-5928	564	17	,	,	PUNCT
ejpam-5928	564	18	λ̈2	λ̈2	NOUN
ejpam-5928	564	19	,	,	PUNCT
ejpam-5928	564	20	µ	µ	NOUN
ejpam-5928	564	21	)	)	PUNCT
ejpam-5928	564	22	are	be	AUX
ejpam-5928	564	23	bs	bs	ADJ
ejpam-5928	564	24	˜̃m1	˜̃m1	NOUN
ejpam-5928	564	25	-	-	PUNCT
ejpam-5928	564	26	separation	separation	NOUN
ejpam-5928	564	27	of	of	ADP
ejpam-5928	564	28	(	(	PUNCT
ejpam-5928	564	29	˜̃	˜̃	NOUN
ejpam-5928	564	30	π	π	PROPN
ejpam-5928	564	31	,	,	PUNCT
ejpam-5928	564	32	φ	φ	PROPN
ejpam-5928	564	33	,	,	PUNCT
ejpam-5928	564	34	µ	µ	NOUN
ejpam-5928	564	35	)	)	PUNCT
ejpam-5928	564	36	in	in	ADP
ejpam-5928	564	37	(	(	PUNCT
ejpam-5928	564	38	π	π	NOUN
ejpam-5928	564	39	,	,	PUNCT
ejpam-5928	564	40	˜̃m1	˜̃m1	PROPN
ejpam-5928	564	41	,	,	PUNCT
ejpam-5928	564	42	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	564	43	)	)	PUNCT
ejpam-5928	564	44	.	.	PUNCT
ejpam-5928	565	1	this	this	PRON
ejpam-5928	565	2	is	be	AUX
ejpam-5928	565	3	contradiction	contradiction	NOUN
ejpam-5928	565	4	.	.	PUNCT
ejpam-5928	566	1	therefore	therefore	ADV
ejpam-5928	566	2	,	,	PUNCT
ejpam-5928	566	3	(	(	PUNCT
ejpam-5928	566	4	π	π	PROPN
ejpam-5928	566	5	,	,	PUNCT
ejpam-5928	566	6	˜̃m2	˜̃m2	NUM
ejpam-5928	566	7	,	,	PUNCT
ejpam-5928	566	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	566	9	)	)	PUNCT
ejpam-5928	566	10	is	be	AUX
ejpam-5928	566	11	bs	bs	PRON
ejpam-5928	566	12	˜̃m2	˜̃m2	ADV
ejpam-5928	566	13	-	-	PUNCT
ejpam-5928	566	14	connected	connect	VERB
ejpam-5928	566	15	.	.	PUNCT
ejpam-5928	567	1	(	(	PUNCT
ejpam-5928	567	2	ii	ii	NOUN
ejpam-5928	567	3	)	)	PUNCT
ejpam-5928	567	4	let	let	VERB
ejpam-5928	567	5	(	(	PUNCT
ejpam-5928	567	6	π	π	NOUN
ejpam-5928	567	7	,	,	PUNCT
ejpam-5928	567	8	˜̃m1	˜̃m1	PROPN
ejpam-5928	567	9	,	,	PUNCT
ejpam-5928	567	10	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	567	11	)	)	PUNCT
ejpam-5928	567	12	be	be	VERB
ejpam-5928	567	13	a	a	DET
ejpam-5928	567	14	bs	bs	NOUN
ejpam-5928	568	1	˜̃m1	˜̃m1	NOUN
ejpam-5928	568	2	-	-	PUNCT
ejpam-5928	568	3	disconnected	disconnected	ADJ
ejpam-5928	568	4	s.	s.	PROPN
ejpam-5928	568	5	t.	t.	PROPN
ejpam-5928	568	6	˜̃m1	˜̃m1	PROPN
ejpam-5928	568	7	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	568	8	˜̃m2	˜̃m2	PROPN
ejpam-5928	568	9	.	.	PUNCT
ejpam-5928	569	1	assume	assume	VERB
ejpam-5928	569	2	the	the	DET
ejpam-5928	569	3	contrary	contrary	NOUN
ejpam-5928	569	4	that	that	SCONJ
ejpam-5928	569	5	(	(	PUNCT
ejpam-5928	569	6	π	π	PROPN
ejpam-5928	569	7	,	,	PUNCT
ejpam-5928	569	8	˜̃m2	˜̃m2	NUM
ejpam-5928	569	9	,	,	PUNCT
ejpam-5928	569	10	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	569	11	)	)	PUNCT
ejpam-5928	569	12	is	be	AUX
ejpam-5928	569	13	a	a	DET
ejpam-5928	569	14	bs	bs	NOUN
ejpam-5928	569	15	˜̃m2	˜̃m2	ADV
ejpam-5928	569	16	-	-	PUNCT
ejpam-5928	569	17	connected	connect	VERB
ejpam-5928	569	18	space	space	NOUN
ejpam-5928	569	19	.	.	PUNCT
ejpam-5928	570	1	since	since	SCONJ
ejpam-5928	570	2	˜̃m1	˜̃m1	PROPN
ejpam-5928	570	3	˜̃⊆	˜̃⊆	PROPN
ejpam-5928	570	4	˜̃m2	˜̃m2	PROPN
ejpam-5928	570	5	,	,	PUNCT
ejpam-5928	570	6	then	then	ADV
ejpam-5928	570	7	by	by	ADP
ejpam-5928	570	8	(	(	PUNCT
ejpam-5928	570	9	1	1	NUM
ejpam-5928	570	10	)	)	PUNCT
ejpam-5928	570	11	,	,	PUNCT
ejpam-5928	570	12	we	we	PRON
ejpam-5928	570	13	get	get	VERB
ejpam-5928	570	14	(	(	PUNCT
ejpam-5928	570	15	π	π	NOUN
ejpam-5928	570	16	,	,	PUNCT
ejpam-5928	570	17	˜̃m1	˜̃m1	PROPN
ejpam-5928	570	18	,	,	PUNCT
ejpam-5928	570	19	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	570	20	)	)	PUNCT
ejpam-5928	570	21	is	be	AUX
ejpam-5928	570	22	bs	bs	ADJ
ejpam-5928	570	23	˜̃m1	˜̃m1	NOUN
ejpam-5928	570	24	-	-	PUNCT
ejpam-5928	570	25	connected	connect	VERB
ejpam-5928	570	26	.	.	PUNCT
ejpam-5928	571	1	this	this	PRON
ejpam-5928	571	2	is	be	AUX
ejpam-5928	571	3	contradiction	contradiction	NOUN
ejpam-5928	571	4	.	.	PUNCT
ejpam-5928	572	1	therefore	therefore	ADV
ejpam-5928	572	2	,	,	PUNCT
ejpam-5928	572	3	(	(	PUNCT
ejpam-5928	572	4	π	π	PROPN
ejpam-5928	572	5	,	,	PUNCT
ejpam-5928	572	6	˜̃m2	˜̃m2	NUM
ejpam-5928	572	7	,	,	PUNCT
ejpam-5928	572	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	572	9	)	)	PUNCT
ejpam-5928	572	10	is	be	AUX
ejpam-5928	572	11	bs	bs	PRON
ejpam-5928	572	12	˜̃m2	˜̃m2	ADV
ejpam-5928	572	13	-	-	PUNCT
ejpam-5928	572	14	disconnected	disconnected	ADJ
ejpam-5928	572	15	.	.	PUNCT
ejpam-5928	573	1	definition	definition	NOUN
ejpam-5928	573	2	24	24	NUM
ejpam-5928	573	3	.	.	PUNCT
ejpam-5928	574	1	let	let	VERB
ejpam-5928	574	2	(	(	PUNCT
ejpam-5928	574	3	π	π	X
ejpam-5928	574	4	,	,	PUNCT
ejpam-5928	574	5	˜̃m	˜̃m	PROPN
ejpam-5928	574	6	,	,	PUNCT
ejpam-5928	574	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	574	8	)	)	PUNCT
ejpam-5928	574	9	be	be	VERB
ejpam-5928	574	10	a	a	DET
ejpam-5928	574	11	bsms	bsms	NOUN
ejpam-5928	574	12	and	and	CCONJ
ejpam-5928	574	13	(	(	PUNCT
ejpam-5928	574	14	ζ̈	ζ̈	NOUN
ejpam-5928	574	15	,	,	PUNCT
ejpam-5928	574	16	λ̈	λ̈	NOUN
ejpam-5928	574	17	,	,	PUNCT
ejpam-5928	574	18	µ	µ	NOUN
ejpam-5928	574	19	)	)	PUNCT
ejpam-5928	574	20	˜̃∈	˜̃∈	PROPN
ejpam-5928	574	21	bss(π	bss(π	PROPN
ejpam-5928	574	22	)	)	PUNCT
ejpam-5928	574	23	.	.	PUNCT
ejpam-5928	575	1	then	then	ADV
ejpam-5928	575	2	the	the	DET
ejpam-5928	575	3	collection	collection	NOUN
ejpam-5928	575	4	r.	r.	PROPN
ejpam-5928	575	5	a.	a.	PROPN
ejpam-5928	575	6	mohammed	mohammed	PROPN
ejpam-5928	575	7	/	/	SYM
ejpam-5928	575	8	eur	eur	PROPN
ejpam-5928	575	9	.	.	PUNCT
ejpam-5928	576	1	j.	j.	PROPN
ejpam-5928	576	2	pure	pure	PROPN
ejpam-5928	576	3	appl	appl	PROPN
ejpam-5928	576	4	.	.	PROPN
ejpam-5928	576	5	math	math	PROPN
ejpam-5928	576	6	,	,	PUNCT
ejpam-5928	576	7	18	18	NUM
ejpam-5928	576	8	(	(	PUNCT
ejpam-5928	576	9	2	2	NUM
ejpam-5928	576	10	)	)	PUNCT
ejpam-5928	576	11	(	(	PUNCT
ejpam-5928	576	12	2025	2025	NUM
ejpam-5928	576	13	)	)	PUNCT
ejpam-5928	576	14	,	,	PUNCT
ejpam-5928	576	15	5928	5928	NUM
ejpam-5928	576	16	22	22	NUM
ejpam-5928	576	17	of	of	ADP
ejpam-5928	576	18	26	26	NUM
ejpam-5928	576	19	˜̃m(ζ̈,λ̈,µ	˜̃m(ζ̈,λ̈,µ	PROPN
ejpam-5928	576	20	)	)	PUNCT
ejpam-5928	576	21	=	=	SYM
ejpam-5928	576	22	{	{	PUNCT
ejpam-5928	576	23	(	(	PUNCT
ejpam-5928	576	24	ζ̈	ζ̈	NOUN
ejpam-5928	576	25	,	,	PUNCT
ejpam-5928	576	26	λ̈	λ̈	NOUN
ejpam-5928	576	27	,	,	PUNCT
ejpam-5928	576	28	µ	µ	NOUN
ejpam-5928	576	29	)	)	PUNCT
ejpam-5928	576	30	˜̃∩	˜̃∩	ADV
ejpam-5928	576	31	(	(	PUNCT
ejpam-5928	576	32	ζ̈δ	ζ̈δ	PROPN
ejpam-5928	576	33	,	,	PUNCT
ejpam-5928	576	34	λ̈δ	λ̈δ	PROPN
ejpam-5928	576	35	,	,	PUNCT
ejpam-5928	576	36	µ	µ	NUM
ejpam-5928	576	37	):	):	PUNCT
ejpam-5928	576	38	(	(	PUNCT
ejpam-5928	576	39	ζ̈δ	ζ̈δ	NOUN
ejpam-5928	576	40	,	,	PUNCT
ejpam-5928	576	41	λ̈δ	λ̈δ	PROPN
ejpam-5928	576	42	,	,	PUNCT
ejpam-5928	576	43	µ	µ	NOUN
ejpam-5928	576	44	)	)	PUNCT
ejpam-5928	576	45	˜̃∈	˜̃∈	PROPN
ejpam-5928	576	46	˜̃m	˜̃m	PROPN
ejpam-5928	576	47	,	,	PUNCT
ejpam-5928	576	48	δ	δ	PROPN
ejpam-5928	576	49	∈	∈	NOUN
ejpam-5928	576	50	∆	∆	PROPN
ejpam-5928	576	51	}	}	PUNCT
ejpam-5928	576	52	.	.	PUNCT
ejpam-5928	577	1	then	then	ADV
ejpam-5928	577	2	(	(	PUNCT
ejpam-5928	577	3	ϵ(ζ̈,λ̈,µ	ϵ(ζ̈,λ̈,µ	NOUN
ejpam-5928	577	4	)	)	PUNCT
ejpam-5928	577	5	,	,	PUNCT
ejpam-5928	577	6	˜̃m(ζ̈,λ̈,µ	˜̃m(ζ̈,λ̈,µ	PROPN
ejpam-5928	577	7	)	)	PUNCT
ejpam-5928	577	8	,	,	PUNCT
ejpam-5928	577	9	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	577	10	)	)	PUNCT
ejpam-5928	577	11	is	be	AUX
ejpam-5928	577	12	called	call	VERB
ejpam-5928	577	13	a	a	DET
ejpam-5928	577	14	bs	bs	PROPN
ejpam-5928	577	15	minimal	minimal	ADJ
ejpam-5928	577	16	subspace	subspace	NOUN
ejpam-5928	577	17	of	of	ADP
ejpam-5928	577	18	(	(	PUNCT
ejpam-5928	577	19	π	π	PROPN
ejpam-5928	577	20	,	,	PUNCT
ejpam-5928	577	21	˜̃m	˜̃m	PROPN
ejpam-5928	577	22	,	,	PUNCT
ejpam-5928	577	23	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	577	24	)	)	PUNCT
ejpam-5928	577	25	and	and	CCONJ
ejpam-5928	577	26	denoted	denote	VERB
ejpam-5928	577	27	by	by	ADP
ejpam-5928	577	28	bsmss	bsmss	PROPN
ejpam-5928	577	29	.	.	PUNCT
ejpam-5928	578	1	proposition	proposition	NOUN
ejpam-5928	578	2	17	17	NUM
ejpam-5928	578	3	.	.	PUNCT
ejpam-5928	579	1	let	let	VERB
ejpam-5928	579	2	(	(	PUNCT
ejpam-5928	579	3	(	(	PUNCT
ejpam-5928	579	4	ζ̈	ζ̈	NOUN
ejpam-5928	579	5	,	,	PUNCT
ejpam-5928	579	6	λ̈	λ̈	NOUN
ejpam-5928	579	7	,	,	PUNCT
ejpam-5928	579	8	µ	µ	NOUN
ejpam-5928	579	9	)	)	PUNCT
ejpam-5928	579	10	,	,	PUNCT
ejpam-5928	579	11	˜̃m(ζ̈,λ̈,µ	˜̃m(ζ̈,λ̈,µ	PROPN
ejpam-5928	579	12	)	)	PUNCT
ejpam-5928	579	13	,	,	PUNCT
ejpam-5928	579	14	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	579	15	)	)	PUNCT
ejpam-5928	579	16	be	be	AUX
ejpam-5928	579	17	bs	bs	ADJ
ejpam-5928	579	18	˜̃m	˜̃m	ADV
ejpam-5928	579	19	-	-	PUNCT
ejpam-5928	579	20	connected	connect	VERB
ejpam-5928	579	21	,	,	PUNCT
ejpam-5928	579	22	then	then	ADV
ejpam-5928	579	23	(	(	PUNCT
ejpam-5928	579	24	ζ̈	ζ̈	NOUN
ejpam-5928	579	25	,	,	PUNCT
ejpam-5928	579	26	λ̈	λ̈	NOUN
ejpam-5928	579	27	,	,	PUNCT
ejpam-5928	579	28	µ	µ	NOUN
ejpam-5928	579	29	)	)	PUNCT
ejpam-5928	579	30	is	be	AUX
ejpam-5928	579	31	bs	bs	NOUN
ejpam-5928	579	32	˜̃mconnected	˜̃mconnecte	VERB
ejpam-5928	579	33	.	.	PUNCT
ejpam-5928	580	1	proof	proof	NOUN
ejpam-5928	580	2	.	.	PUNCT
ejpam-5928	581	1	let	let	VERB
ejpam-5928	581	2	(	(	PUNCT
ejpam-5928	581	3	(	(	PUNCT
ejpam-5928	581	4	ζ̈	ζ̈	NOUN
ejpam-5928	581	5	,	,	PUNCT
ejpam-5928	581	6	λ̈	λ̈	NOUN
ejpam-5928	581	7	,	,	PUNCT
ejpam-5928	581	8	µ	µ	NOUN
ejpam-5928	581	9	)	)	PUNCT
ejpam-5928	581	10	,	,	PUNCT
ejpam-5928	581	11	˜̃m(ζ̈,λ̈,µ	˜̃m(ζ̈,λ̈,µ	PROPN
ejpam-5928	581	12	)	)	PUNCT
ejpam-5928	581	13	,	,	PUNCT
ejpam-5928	581	14	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	581	15	)	)	PUNCT
ejpam-5928	581	16	be	be	AUX
ejpam-5928	581	17	a	a	DET
ejpam-5928	581	18	bs	bs	NOUN
ejpam-5928	581	19	˜̃m	˜̃m	ADV
ejpam-5928	581	20	-	-	PUNCT
ejpam-5928	581	21	connected	connect	VERB
ejpam-5928	581	22	space	space	NOUN
ejpam-5928	581	23	.	.	PUNCT
ejpam-5928	582	1	assume	assume	VERB
ejpam-5928	582	2	(	(	PUNCT
ejpam-5928	582	3	ζ̈	ζ̈	NOUN
ejpam-5928	582	4	,	,	PUNCT
ejpam-5928	582	5	λ̈	λ̈	NOUN
ejpam-5928	582	6	,	,	PUNCT
ejpam-5928	582	7	µ	µ	NOUN
ejpam-5928	582	8	)	)	PUNCT
ejpam-5928	582	9	is	be	AUX
ejpam-5928	582	10	bs	bs	PROPN
ejpam-5928	582	11	˜̃mdisconnected	˜̃mdisconnected	PROPN
ejpam-5928	582	12	,	,	PUNCT
ejpam-5928	582	13	then	then	ADV
ejpam-5928	582	14	there	there	PRON
ejpam-5928	582	15	exist	exist	VERB
ejpam-5928	582	16	˜̃m	˜̃m	ADV
ejpam-5928	582	17	-	-	PUNCT
ejpam-5928	582	18	separated	separate	VERB
ejpam-5928	582	19	bsss	bsss	NOUN
ejpam-5928	582	20	,	,	PUNCT
ejpam-5928	582	21	say	say	VERB
ejpam-5928	582	22	,	,	PUNCT
ejpam-5928	582	23	(	(	PUNCT
ejpam-5928	582	24	ζ̈1	ζ̈1	ADJ
ejpam-5928	582	25	,	,	PUNCT
ejpam-5928	582	26	λ̈1	λ̈1	PROPN
ejpam-5928	582	27	,	,	PUNCT
ejpam-5928	582	28	µ	µ	NOUN
ejpam-5928	582	29	)	)	PUNCT
ejpam-5928	582	30	and	and	CCONJ
ejpam-5928	582	31	(	(	PUNCT
ejpam-5928	582	32	ζ̈2	ζ̈2	PROPN
ejpam-5928	582	33	,	,	PUNCT
ejpam-5928	582	34	λ̈2	λ̈2	NOUN
ejpam-5928	582	35	,	,	PUNCT
ejpam-5928	582	36	µ	µ	NOUN
ejpam-5928	582	37	)	)	PUNCT
ejpam-5928	582	38	of	of	ADP
ejpam-5928	582	39	(	(	PUNCT
ejpam-5928	582	40	ζ̈	ζ̈	NOUN
ejpam-5928	582	41	,	,	PUNCT
ejpam-5928	582	42	λ̈	λ̈	NOUN
ejpam-5928	582	43	,	,	PUNCT
ejpam-5928	582	44	µ	µ	NOUN
ejpam-5928	582	45	)	)	PUNCT
ejpam-5928	582	46	,	,	PUNCT
ejpam-5928	582	47	so	so	ADV
ejpam-5928	582	48	by	by	ADP
ejpam-5928	582	49	proposition	proposition	NOUN
ejpam-5928	582	50	10	10	NUM
ejpam-5928	582	51	that	that	SCONJ
ejpam-5928	582	52	(	(	PUNCT
ejpam-5928	582	53	ζ̈1	ζ̈1	ADJ
ejpam-5928	582	54	,	,	PUNCT
ejpam-5928	582	55	λ̈1	λ̈1	PROPN
ejpam-5928	582	56	,	,	PUNCT
ejpam-5928	582	57	µ	µ	NOUN
ejpam-5928	582	58	)	)	PUNCT
ejpam-5928	582	59	and	and	CCONJ
ejpam-5928	582	60	(	(	PUNCT
ejpam-5928	582	61	ζ̈2	ζ̈2	PROPN
ejpam-5928	582	62	,	,	PUNCT
ejpam-5928	582	63	λ̈2	λ̈2	NOUN
ejpam-5928	582	64	,	,	PUNCT
ejpam-5928	582	65	µ	µ	NOUN
ejpam-5928	582	66	)	)	PUNCT
ejpam-5928	582	67	are	be	AUX
ejpam-5928	582	68	bs	bs	ADJ
ejpam-5928	582	69	˜̃m	˜̃m	ADJ
ejpam-5928	582	70	-	-	PUNCT
ejpam-5928	582	71	separation	separation	NOUN
ejpam-5928	582	72	of	of	ADP
ejpam-5928	582	73	(	(	PUNCT
ejpam-5928	582	74	ζ̈	ζ̈	NOUN
ejpam-5928	582	75	,	,	PUNCT
ejpam-5928	582	76	λ̈	λ̈	NOUN
ejpam-5928	582	77	,	,	PUNCT
ejpam-5928	582	78	µ	µ	NOUN
ejpam-5928	582	79	)	)	PUNCT
ejpam-5928	582	80	.	.	PUNCT
ejpam-5928	583	1	this	this	PRON
ejpam-5928	583	2	is	be	AUX
ejpam-5928	583	3	a	a	DET
ejpam-5928	583	4	contradiction	contradiction	NOUN
ejpam-5928	583	5	.	.	PUNCT
ejpam-5928	584	1	thus	thus	ADV
ejpam-5928	584	2	,	,	PUNCT
ejpam-5928	584	3	(	(	PUNCT
ejpam-5928	584	4	ζ̈	ζ̈	NOUN
ejpam-5928	584	5	,	,	PUNCT
ejpam-5928	584	6	λ̈	λ̈	NOUN
ejpam-5928	584	7	,	,	PUNCT
ejpam-5928	584	8	µ	µ	NOUN
ejpam-5928	584	9	)	)	PUNCT
ejpam-5928	584	10	is	be	AUX
ejpam-5928	584	11	a	a	DET
ejpam-5928	584	12	bs	bs	NOUN
ejpam-5928	584	13	˜̃m	˜̃m	ADV
ejpam-5928	584	14	-	-	PUNCT
ejpam-5928	584	15	connected	connect	VERB
ejpam-5928	584	16	space	space	NOUN
ejpam-5928	584	17	.	.	PUNCT
ejpam-5928	585	1	definition	definition	NOUN
ejpam-5928	585	2	25	25	NUM
ejpam-5928	585	3	.	.	PUNCT
ejpam-5928	586	1	a	a	DET
ejpam-5928	586	2	property	property	NOUN
ejpam-5928	586	3	p	p	NOUN
ejpam-5928	586	4	of	of	ADP
ejpam-5928	586	5	a	a	DET
ejpam-5928	586	6	bsms	bsms	NOUN
ejpam-5928	586	7	(	(	PUNCT
ejpam-5928	586	8	π	π	PROPN
ejpam-5928	586	9	,	,	PUNCT
ejpam-5928	586	10	˜̃m	˜̃m	PROPN
ejpam-5928	586	11	,	,	PUNCT
ejpam-5928	586	12	µ	µ	NOUN
ejpam-5928	586	13	,	,	PUNCT
ejpam-5928	586	14	µ	µ	NUM
ejpam-5928	586	15	)	)	PUNCT
ejpam-5928	586	16	is	be	AUX
ejpam-5928	586	17	said	say	VERB
ejpam-5928	586	18	to	to	PART
ejpam-5928	586	19	be	be	AUX
ejpam-5928	586	20	a	a	DET
ejpam-5928	586	21	bs	bs	NOUN
ejpam-5928	586	22	minimal	minimal	ADJ
ejpam-5928	586	23	hereditary	hereditary	ADJ
ejpam-5928	586	24	property	property	NOUN
ejpam-5928	586	25	(	(	PUNCT
ejpam-5928	586	26	bs	bs	PROPN
ejpam-5928	586	27	˜̃m	˜̃m	ADJ
ejpam-5928	586	28	-	-	PUNCT
ejpam-5928	586	29	hereditary	hereditary	ADJ
ejpam-5928	586	30	property	property	NOUN
ejpam-5928	586	31	)	)	PUNCT
ejpam-5928	586	32	if	if	SCONJ
ejpam-5928	586	33	every	every	DET
ejpam-5928	586	34	bsmss	bsmss	NOUN
ejpam-5928	586	35	(	(	PUNCT
ejpam-5928	586	36	ω	ω	PROPN
ejpam-5928	586	37	,	,	PUNCT
ejpam-5928	586	38	˜̃mω	˜̃mω	PROPN
ejpam-5928	586	39	,	,	PUNCT
ejpam-5928	586	40	µ	µ	NOUN
ejpam-5928	586	41	,	,	PUNCT
ejpam-5928	586	42	µ	µ	PROPN
ejpam-5928	586	43	)	)	PUNCT
ejpam-5928	586	44	of	of	ADP
ejpam-5928	586	45	(	(	PUNCT
ejpam-5928	586	46	π	π	PROPN
ejpam-5928	586	47	,	,	PUNCT
ejpam-5928	586	48	˜̃m	˜̃m	PROPN
ejpam-5928	586	49	,	,	PUNCT
ejpam-5928	586	50	µ	µ	NOUN
ejpam-5928	586	51	,	,	PUNCT
ejpam-5928	586	52	µ	µ	NOUN
ejpam-5928	586	53	)	)	PUNCT
ejpam-5928	586	54	also	also	ADV
ejpam-5928	586	55	has	have	VERB
ejpam-5928	586	56	the	the	DET
ejpam-5928	586	57	property	property	NOUN
ejpam-5928	586	58	p.	p.	NOUN
ejpam-5928	586	59	proposition	proposition	NOUN
ejpam-5928	586	60	18	18	NUM
ejpam-5928	586	61	.	.	PUNCT
ejpam-5928	587	1	let	let	VERB
ejpam-5928	587	2	(	(	PUNCT
ejpam-5928	587	3	ω	ω	PROPN
ejpam-5928	587	4	,	,	PUNCT
ejpam-5928	587	5	˜̃mω	˜̃mω	PROPN
ejpam-5928	587	6	,	,	PUNCT
ejpam-5928	587	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	587	8	)	)	PUNCT
ejpam-5928	587	9	be	be	VERB
ejpam-5928	587	10	a	a	DET
ejpam-5928	587	11	bsmss	bsmss	NOUN
ejpam-5928	587	12	of	of	ADP
ejpam-5928	587	13	bsms	bsm	NOUN
ejpam-5928	587	14	(	(	PUNCT
ejpam-5928	587	15	π	π	PROPN
ejpam-5928	587	16	,	,	PUNCT
ejpam-5928	587	17	˜̃m	˜̃m	PROPN
ejpam-5928	587	18	,	,	PUNCT
ejpam-5928	587	19	µ,¬µ	µ,¬µ	ADJ
ejpam-5928	587	20	)	)	PUNCT
ejpam-5928	587	21	over	over	ADP
ejpam-5928	587	22	π	π	PROPN
ejpam-5928	587	23	and	and	CCONJ
ejpam-5928	587	24	(	(	PUNCT
ejpam-5928	587	25	ωζ̈,ω	ωζ̈,ω	NUM
ejpam-5928	587	26	λ̈	λ̈	PROPN
ejpam-5928	587	27	,	,	PUNCT
ejpam-5928	587	28	µ	µ	NOUN
ejpam-5928	587	29	)	)	PUNCT
ejpam-5928	587	30	be	be	AUX
ejpam-5928	587	31	a	a	DET
ejpam-5928	587	32	bs	bs	NOUN
ejpam-5928	587	33	˜̃m	˜̃m	ADV
ejpam-5928	587	34	-	-	PUNCT
ejpam-5928	587	35	closed	close	VERB
ejpam-5928	587	36	set	set	NOUN
ejpam-5928	587	37	in	in	ADP
ejpam-5928	587	38	ω	ω	PROPN
ejpam-5928	587	39	.	.	PUNCT
ejpam-5928	588	1	then	then	ADV
ejpam-5928	588	2	(	(	PUNCT
ejpam-5928	588	3	ζ̈	ζ̈	NOUN
ejpam-5928	588	4	,	,	PUNCT
ejpam-5928	588	5	λ̈	λ̈	NOUN
ejpam-5928	588	6	,	,	PUNCT
ejpam-5928	588	7	µ	µ	NOUN
ejpam-5928	588	8	)	)	PUNCT
ejpam-5928	588	9	is	be	AUX
ejpam-5928	588	10	a	a	DET
ejpam-5928	588	11	bs	bs	NOUN
ejpam-5928	588	12	˜̃m	˜̃m	ADV
ejpam-5928	588	13	-	-	PUNCT
ejpam-5928	588	14	closed	close	VERB
ejpam-5928	588	15	set	set	NOUN
ejpam-5928	588	16	in	in	ADP
ejpam-5928	588	17	π	π	PROPN
ejpam-5928	588	18	.	.	PUNCT
ejpam-5928	589	1	proof	proof	NOUN
ejpam-5928	589	2	.	.	PUNCT
ejpam-5928	590	1	suppose	suppose	VERB
ejpam-5928	590	2	that	that	SCONJ
ejpam-5928	590	3	(	(	PUNCT
ejpam-5928	590	4	ωζ̈,ω	ωζ̈,ω	NUM
ejpam-5928	590	5	λ̈	λ̈	PROPN
ejpam-5928	590	6	,	,	PUNCT
ejpam-5928	590	7	µ	µ	NOUN
ejpam-5928	590	8	)	)	PUNCT
ejpam-5928	590	9	is	be	AUX
ejpam-5928	590	10	a	a	DET
ejpam-5928	590	11	bs	bs	NOUN
ejpam-5928	590	12	˜̃mω	˜̃mω	NOUN
ejpam-5928	590	13	-	-	PUNCT
ejpam-5928	590	14	closed	close	VERB
ejpam-5928	590	15	set	set	NOUN
ejpam-5928	590	16	in	in	ADP
ejpam-5928	590	17	ω	ω	PROPN
ejpam-5928	590	18	.	.	PUNCT
ejpam-5928	591	1	thus	thus	ADV
ejpam-5928	591	2	(	(	PUNCT
ejpam-5928	591	3	ωζ̈,ω	ωζ̈,ω	NUM
ejpam-5928	591	4	λ̈	λ̈	ADJ
ejpam-5928	591	5	,	,	PUNCT
ejpam-5928	591	6	µ)c	µ)c	PUNCT
ejpam-5928	591	7	=	=	SYM
ejpam-5928	591	8	(	(	PUNCT
ejpam-5928	591	9	ωλ̈,ω	ωλ̈,ω	PROPN
ejpam-5928	591	10	ζ̈	ζ̈	NOUN
ejpam-5928	591	11	,	,	PUNCT
ejpam-5928	591	12	µ	µ	NOUN
ejpam-5928	591	13	)	)	PUNCT
ejpam-5928	591	14	is	be	AUX
ejpam-5928	591	15	a	a	DET
ejpam-5928	591	16	bs	bs	NOUN
ejpam-5928	591	17	˜̃mω	˜̃mω	NOUN
ejpam-5928	591	18	-	-	PUNCT
ejpam-5928	591	19	open	open	NOUN
ejpam-5928	591	20	set	set	NOUN
ejpam-5928	591	21	in	in	ADP
ejpam-5928	591	22	ω	ω	PROPN
ejpam-5928	591	23	,	,	PUNCT
ejpam-5928	591	24	where	where	SCONJ
ejpam-5928	591	25	(	(	PUNCT
ejpam-5928	591	26	λ̈	λ̈	ADJ
ejpam-5928	591	27	,	,	PUNCT
ejpam-5928	591	28	ζ̈	ζ̈	PROPN
ejpam-5928	591	29	,	,	PUNCT
ejpam-5928	591	30	µ	µ	NOUN
ejpam-5928	591	31	)	)	PUNCT
ejpam-5928	591	32	is	be	AUX
ejpam-5928	591	33	a	a	DET
ejpam-5928	591	34	bs	bs	NOUN
ejpam-5928	591	35	˜̃m	˜̃m	ADV
ejpam-5928	591	36	-	-	PUNCT
ejpam-5928	591	37	open	open	NOUN
ejpam-5928	591	38	set	set	NOUN
ejpam-5928	591	39	in	in	ADP
ejpam-5928	591	40	π	π	PROPN
ejpam-5928	591	41	.	.	PUNCT
ejpam-5928	592	1	thus	thus	ADV
ejpam-5928	592	2	,	,	PUNCT
ejpam-5928	592	3	(	(	PUNCT
ejpam-5928	592	4	λ̈	λ̈	ADJ
ejpam-5928	592	5	,	,	PUNCT
ejpam-5928	592	6	ζ̈	ζ̈	NOUN
ejpam-5928	592	7	,	,	PUNCT
ejpam-5928	592	8	µ)c	µ)c	PUNCT
ejpam-5928	592	9	=	=	SYM
ejpam-5928	592	10	(	(	PUNCT
ejpam-5928	592	11	ζ̈	ζ̈	PROPN
ejpam-5928	592	12	,	,	PUNCT
ejpam-5928	592	13	λ̈	λ̈	NOUN
ejpam-5928	592	14	,	,	PUNCT
ejpam-5928	592	15	µ	µ	NOUN
ejpam-5928	592	16	)	)	PUNCT
ejpam-5928	592	17	is	be	AUX
ejpam-5928	592	18	a	a	DET
ejpam-5928	592	19	bs	bs	NOUN
ejpam-5928	592	20	˜̃m	˜̃m	ADV
ejpam-5928	592	21	-	-	PUNCT
ejpam-5928	592	22	closed	close	VERB
ejpam-5928	592	23	set	set	NOUN
ejpam-5928	592	24	in	in	ADP
ejpam-5928	592	25	π	π	PROPN
ejpam-5928	592	26	.	.	PROPN
ejpam-5928	592	27	remark	remark	PROPN
ejpam-5928	592	28	6	6	NUM
ejpam-5928	592	29	.	.	PUNCT
ejpam-5928	593	1	the	the	DET
ejpam-5928	593	2	bs	bs	PROPN
ejpam-5928	593	3	˜̃m	˜̃m	ADV
ejpam-5928	593	4	-	-	PUNCT
ejpam-5928	593	5	connected	connect	VERB
ejpam-5928	593	6	space	space	NOUN
ejpam-5928	593	7	(	(	PUNCT
ejpam-5928	593	8	resp	resp	NOUN
ejpam-5928	593	9	.	.	PUNCT
ejpam-5928	594	1	bs	bs	ADP
ejpam-5928	594	2	˜̃m	˜̃m	ADV
ejpam-5928	594	3	-	-	PUNCT
ejpam-5928	594	4	disconnected	disconnected	ADJ
ejpam-5928	594	5	space	space	NOUN
ejpam-5928	594	6	)	)	PUNCT
ejpam-5928	594	7	is	be	AUX
ejpam-5928	594	8	not	not	PART
ejpam-5928	594	9	a	a	DET
ejpam-5928	594	10	bs	bs	NOUN
ejpam-5928	594	11	˜̃mhereditary	˜̃mhereditary	PROPN
ejpam-5928	594	12	property	property	NOUN
ejpam-5928	594	13	.	.	PUNCT
ejpam-5928	594	14	example	example	NOUN
ejpam-5928	595	1	12	12	NUM
ejpam-5928	595	2	.	.	PUNCT
ejpam-5928	596	1	let	let	VERB
ejpam-5928	596	2	π	π	NOUN
ejpam-5928	596	3	=	=	PUNCT
ejpam-5928	596	4	{	{	PUNCT
ejpam-5928	596	5	ϵ1	ϵ1	ADJ
ejpam-5928	596	6	,	,	PUNCT
ejpam-5928	596	7	ϵ2	ϵ2	ADJ
ejpam-5928	596	8	,	,	PUNCT
ejpam-5928	596	9	ϵ3	ϵ3	PROPN
ejpam-5928	596	10	}	}	PUNCT
ejpam-5928	596	11	,	,	PUNCT
ejpam-5928	596	12	µ	µ	X
ejpam-5928	596	13	=	=	SYM
ejpam-5928	596	14	{	{	PUNCT
ejpam-5928	596	15	ϑ1	ϑ1	NOUN
ejpam-5928	596	16	,	,	PUNCT
ejpam-5928	596	17	ϑ2	ϑ2	PROPN
ejpam-5928	596	18	}	}	PUNCT
ejpam-5928	596	19	and	and	CCONJ
ejpam-5928	596	20	˜̃m	˜̃m	NOUN
ejpam-5928	596	21	=	=	PUNCT
ejpam-5928	596	22	{	{	PUNCT
ejpam-5928	596	23	(	(	PUNCT
ejpam-5928	596	24	φ	φ	PROPN
ejpam-5928	596	25	,	,	PUNCT
ejpam-5928	596	26	˜̃π	˜̃π	NOUN
ejpam-5928	596	27	,	,	PUNCT
ejpam-5928	596	28	µ	µ	NOUN
ejpam-5928	596	29	)	)	PUNCT
ejpam-5928	596	30	,	,	PUNCT
ejpam-5928	596	31	(	(	PUNCT
ejpam-5928	596	32	ζ̈1	ζ̈1	ADJ
ejpam-5928	596	33	,	,	PUNCT
ejpam-5928	596	34	λ̈1	λ̈1	PROPN
ejpam-5928	596	35	,	,	PUNCT
ejpam-5928	596	36	µ	µ	NOUN
ejpam-5928	596	37	)	)	PUNCT
ejpam-5928	596	38	,	,	PUNCT
ejpam-5928	596	39	(	(	PUNCT
ejpam-5928	596	40	ζ̈2	ζ̈2	PROPN
ejpam-5928	596	41	,	,	PUNCT
ejpam-5928	596	42	λ̈2	λ̈2	NOUN
ejpam-5928	596	43	,	,	PUNCT
ejpam-5928	596	44	µ	µ	NOUN
ejpam-5928	596	45	)	)	PUNCT
ejpam-5928	596	46	,	,	PUNCT
ejpam-5928	596	47	(	(	PUNCT
ejpam-5928	596	48	ζ̈3	ζ̈3	PROPN
ejpam-5928	596	49	,	,	PUNCT
ejpam-5928	596	50	λ̈3	λ̈3	NOUN
ejpam-5928	596	51	,	,	PUNCT
ejpam-5928	596	52	µ	µ	NOUN
ejpam-5928	596	53	)	)	PUNCT
ejpam-5928	596	54	}	}	PUNCT
ejpam-5928	596	55	where	where	SCONJ
ejpam-5928	596	56	(	(	PUNCT
ejpam-5928	596	57	ζ̈1	ζ̈1	ADJ
ejpam-5928	596	58	,	,	PUNCT
ejpam-5928	596	59	λ̈1	λ̈1	PROPN
ejpam-5928	596	60	,	,	PUNCT
ejpam-5928	596	61	µ	µ	NOUN
ejpam-5928	596	62	)	)	PUNCT
ejpam-5928	596	63	,	,	PUNCT
ejpam-5928	596	64	(	(	PUNCT
ejpam-5928	596	65	ζ̈2	ζ̈2	PROPN
ejpam-5928	596	66	,	,	PUNCT
ejpam-5928	596	67	λ̈2	λ̈2	NOUN
ejpam-5928	596	68	,	,	PUNCT
ejpam-5928	596	69	µ	µ	NOUN
ejpam-5928	596	70	)	)	PUNCT
ejpam-5928	596	71	,	,	PUNCT
ejpam-5928	596	72	(	(	PUNCT
ejpam-5928	596	73	ζ̈3	ζ̈3	PROPN
ejpam-5928	596	74	,	,	PUNCT
ejpam-5928	596	75	λ̈3	λ̈3	NOUN
ejpam-5928	596	76	,	,	PUNCT
ejpam-5928	596	77	µ	µ	NOUN
ejpam-5928	596	78	)	)	PUNCT
ejpam-5928	596	79	˜̃∈	˜̃∈	PROPN
ejpam-5928	596	80	bss(π	bss(π	PROPN
ejpam-5928	596	81	)	)	PUNCT
ejpam-5928	596	82	,	,	PUNCT
ejpam-5928	596	83	defined	define	VERB
ejpam-5928	596	84	as	as	ADP
ejpam-5928	596	85	follows	follow	VERB
ejpam-5928	596	86	(	(	PUNCT
ejpam-5928	596	87	ζ̈1	ζ̈1	ADJ
ejpam-5928	596	88	,	,	PUNCT
ejpam-5928	596	89	λ̈1	λ̈1	PROPN
ejpam-5928	596	90	,	,	PUNCT
ejpam-5928	596	91	µ	µ	NOUN
ejpam-5928	596	92	)	)	PUNCT
ejpam-5928	596	93	=	=	PRON
ejpam-5928	596	94	{	{	PUNCT
ejpam-5928	596	95	(	(	PUNCT
ejpam-5928	596	96	ϑ1	ϑ1	NOUN
ejpam-5928	596	97	,	,	PUNCT
ejpam-5928	596	98	{	{	PUNCT
ejpam-5928	596	99	ϵ1	ϵ1	ADJ
ejpam-5928	596	100	}	}	PUNCT
ejpam-5928	596	101	,	,	PUNCT
ejpam-5928	596	102	{	{	PUNCT
ejpam-5928	596	103	ϵ2	ϵ2	ADJ
ejpam-5928	596	104	,	,	PUNCT
ejpam-5928	596	105	ϵ3	ϵ3	PROPN
ejpam-5928	596	106	}	}	PUNCT
ejpam-5928	596	107	)	)	PUNCT
ejpam-5928	596	108	,	,	PUNCT
ejpam-5928	596	109	(	(	PUNCT
ejpam-5928	596	110	ϑ2	ϑ2	NOUN
ejpam-5928	596	111	,	,	PUNCT
ejpam-5928	596	112	{	{	PUNCT
ejpam-5928	596	113	ϵ1	ϵ1	ADJ
ejpam-5928	596	114	}	}	PUNCT
ejpam-5928	596	115	,	,	PUNCT
ejpam-5928	596	116	{	{	PUNCT
ejpam-5928	596	117	ϵ2	ϵ2	ADJ
ejpam-5928	596	118	,	,	PUNCT
ejpam-5928	596	119	ϵ3	ϵ3	PROPN
ejpam-5928	596	120	}	}	PUNCT
ejpam-5928	596	121	)	)	PUNCT
ejpam-5928	596	122	}	}	PUNCT
ejpam-5928	596	123	,	,	PUNCT
ejpam-5928	596	124	(	(	PUNCT
ejpam-5928	596	125	ζ̈2	ζ̈2	PROPN
ejpam-5928	596	126	,	,	PUNCT
ejpam-5928	596	127	λ̈2	λ̈2	NOUN
ejpam-5928	596	128	,	,	PUNCT
ejpam-5928	596	129	µ	µ	NOUN
ejpam-5928	596	130	)	)	PUNCT
ejpam-5928	596	131	=	=	PRON
ejpam-5928	596	132	{	{	PUNCT
ejpam-5928	596	133	(	(	PUNCT
ejpam-5928	596	134	ϑ1	ϑ1	NOUN
ejpam-5928	596	135	,	,	PUNCT
ejpam-5928	596	136	{	{	PUNCT
ejpam-5928	596	137	ϵ2	ϵ2	PROPN
ejpam-5928	596	138	}	}	PUNCT
ejpam-5928	596	139	,	,	PUNCT
ejpam-5928	596	140	{	{	PUNCT
ejpam-5928	596	141	ϵ1	ϵ1	ADJ
ejpam-5928	596	142	,	,	PUNCT
ejpam-5928	596	143	ϵ3	ϵ3	PROPN
ejpam-5928	596	144	}	}	PUNCT
ejpam-5928	596	145	)	)	PUNCT
ejpam-5928	596	146	,	,	PUNCT
ejpam-5928	596	147	(	(	PUNCT
ejpam-5928	596	148	ϑ2	ϑ2	NOUN
ejpam-5928	596	149	,	,	PUNCT
ejpam-5928	596	150	{	{	PUNCT
ejpam-5928	596	151	ϵ2	ϵ2	PROPN
ejpam-5928	596	152	}	}	PUNCT
ejpam-5928	596	153	,	,	PUNCT
ejpam-5928	596	154	{	{	PUNCT
ejpam-5928	596	155	ϵ1	ϵ1	ADJ
ejpam-5928	596	156	,	,	PUNCT
ejpam-5928	596	157	ϵ3	ϵ3	PROPN
ejpam-5928	596	158	}	}	PUNCT
ejpam-5928	596	159	)	)	PUNCT
ejpam-5928	596	160	}	}	PUNCT
ejpam-5928	596	161	and	and	CCONJ
ejpam-5928	596	162	(	(	PUNCT
ejpam-5928	596	163	ζ̈3	ζ̈3	PROPN
ejpam-5928	596	164	,	,	PUNCT
ejpam-5928	596	165	λ̈3	λ̈3	NOUN
ejpam-5928	596	166	,	,	PUNCT
ejpam-5928	596	167	µ	µ	NOUN
ejpam-5928	596	168	)	)	PUNCT
ejpam-5928	596	169	=	=	PRON
ejpam-5928	596	170	{	{	PUNCT
ejpam-5928	596	171	(	(	PUNCT
ejpam-5928	596	172	ϑ1	ϑ1	NOUN
ejpam-5928	596	173	,	,	PUNCT
ejpam-5928	596	174	{	{	PUNCT
ejpam-5928	596	175	ϵ1	ϵ1	ADJ
ejpam-5928	596	176	,	,	PUNCT
ejpam-5928	596	177	ϵ2	ϵ2	ADJ
ejpam-5928	596	178	}	}	PUNCT
ejpam-5928	596	179	,	,	PUNCT
ejpam-5928	596	180	{	{	PUNCT
ejpam-5928	596	181	ϵ3	ϵ3	PROPN
ejpam-5928	596	182	}	}	PUNCT
ejpam-5928	596	183	)	)	PUNCT
ejpam-5928	596	184	,	,	PUNCT
ejpam-5928	596	185	(	(	PUNCT
ejpam-5928	596	186	ϑ2	ϑ2	NOUN
ejpam-5928	596	187	,	,	PUNCT
ejpam-5928	596	188	{	{	PUNCT
ejpam-5928	596	189	ϵ1	ϵ1	ADJ
ejpam-5928	596	190	,	,	PUNCT
ejpam-5928	596	191	ϵ2	ϵ2	ADJ
ejpam-5928	596	192	}	}	PUNCT
ejpam-5928	596	193	,	,	PUNCT
ejpam-5928	596	194	{	{	PUNCT
ejpam-5928	596	195	ϵ3	ϵ3	PROPN
ejpam-5928	596	196	}	}	PUNCT
ejpam-5928	596	197	)	)	PUNCT
ejpam-5928	596	198	}	}	PUNCT
ejpam-5928	596	199	.	.	PUNCT
ejpam-5928	597	1	therefore	therefore	ADV
ejpam-5928	597	2	,	,	PUNCT
ejpam-5928	597	3	(	(	PUNCT
ejpam-5928	597	4	π	π	X
ejpam-5928	597	5	,	,	PUNCT
ejpam-5928	597	6	˜̃m	˜̃m	PROPN
ejpam-5928	597	7	,	,	PUNCT
ejpam-5928	597	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	597	9	)	)	PUNCT
ejpam-5928	597	10	is	be	AUX
ejpam-5928	597	11	a	a	DET
ejpam-5928	597	12	bs	bs	NOUN
ejpam-5928	597	13	˜̃m	˜̃m	ADV
ejpam-5928	597	14	-	-	PUNCT
ejpam-5928	597	15	connected	connect	VERB
ejpam-5928	597	16	space	space	NOUN
ejpam-5928	597	17	.	.	PUNCT
ejpam-5928	598	1	now	now	ADV
ejpam-5928	598	2	let	let	VERB
ejpam-5928	598	3	ω	ω	NOUN
ejpam-5928	598	4	=	=	PRON
ejpam-5928	598	5	{	{	PUNCT
ejpam-5928	598	6	ϵ1	ϵ1	ADJ
ejpam-5928	598	7	,	,	PUNCT
ejpam-5928	598	8	ϵ2	ϵ2	ADJ
ejpam-5928	598	9	}	}	PUNCT
ejpam-5928	598	10	,	,	PUNCT
ejpam-5928	598	11	then	then	ADV
ejpam-5928	598	12	˜̃mω	˜̃mω	PROPN
ejpam-5928	598	13	=	=	SYM
ejpam-5928	598	14	{	{	PUNCT
ejpam-5928	598	15	(	(	PUNCT
ejpam-5928	598	16	φ	φ	PROPN
ejpam-5928	598	17	,	,	PUNCT
ejpam-5928	598	18	˜̃ω	˜̃ω	PROPN
ejpam-5928	598	19	,	,	PUNCT
ejpam-5928	598	20	µ	µ	NOUN
ejpam-5928	598	21	)	)	PUNCT
ejpam-5928	598	22	,	,	PUNCT
ejpam-5928	598	23	(	(	PUNCT
ejpam-5928	598	24	ωζ̈1,ω	ωζ̈1,ω	NOUN
ejpam-5928	598	25	λ̈1	λ̈1	NOUN
ejpam-5928	598	26	,	,	PUNCT
ejpam-5928	598	27	µ	µ	NOUN
ejpam-5928	598	28	)	)	PUNCT
ejpam-5928	598	29	,	,	PUNCT
ejpam-5928	598	30	(	(	PUNCT
ejpam-5928	598	31	ωζ̈2	ωζ̈2	PROPN
ejpam-5928	598	32	,	,	PUNCT
ejpam-5928	598	33	ω	ω	NOUN
ejpam-5928	598	34	λ̈2	λ̈2	NOUN
ejpam-5928	598	35	,	,	PUNCT
ejpam-5928	598	36	µ	µ	NOUN
ejpam-5928	598	37	)	)	PUNCT
ejpam-5928	598	38	,	,	PUNCT
ejpam-5928	598	39	(	(	PUNCT
ejpam-5928	598	40	ωζ̈3	ωζ̈3	NOUN
ejpam-5928	598	41	,	,	PUNCT
ejpam-5928	598	42	ω	ω	NUM
ejpam-5928	598	43	λ̈3	λ̈3	NOUN
ejpam-5928	598	44	,	,	PUNCT
ejpam-5928	598	45	µ	µ	NOUN
ejpam-5928	598	46	)	)	PUNCT
ejpam-5928	598	47	}	}	PUNCT
ejpam-5928	598	48	,	,	PUNCT
ejpam-5928	598	49	s.	s.	PROPN
ejpam-5928	598	50	t.	t.	PROPN
ejpam-5928	598	51	(	(	PUNCT
ejpam-5928	598	52	ωζ̈1	ωζ̈1	NOUN
ejpam-5928	598	53	,	,	PUNCT
ejpam-5928	598	54	ω	ω	NUM
ejpam-5928	598	55	λ̈1	λ̈1	PROPN
ejpam-5928	598	56	,	,	PUNCT
ejpam-5928	598	57	µ	µ	NOUN
ejpam-5928	598	58	)	)	PUNCT
ejpam-5928	598	59	=	=	PRON
ejpam-5928	598	60	{	{	PUNCT
ejpam-5928	598	61	(	(	PUNCT
ejpam-5928	598	62	ϑ1	ϑ1	NOUN
ejpam-5928	598	63	,	,	PUNCT
ejpam-5928	598	64	{	{	PUNCT
ejpam-5928	598	65	ϵ1	ϵ1	ADJ
ejpam-5928	598	66	}	}	PUNCT
ejpam-5928	598	67	,	,	PUNCT
ejpam-5928	598	68	{	{	PUNCT
ejpam-5928	598	69	ϵ2	ϵ2	NOUN
ejpam-5928	598	70	}	}	PUNCT
ejpam-5928	598	71	)	)	PUNCT
ejpam-5928	598	72	,	,	PUNCT
ejpam-5928	598	73	(	(	PUNCT
ejpam-5928	598	74	ϑ2	ϑ2	NOUN
ejpam-5928	598	75	,	,	PUNCT
ejpam-5928	598	76	{	{	PUNCT
ejpam-5928	598	77	ϵ1	ϵ1	ADJ
ejpam-5928	598	78	}	}	PUNCT
ejpam-5928	598	79	,	,	PUNCT
ejpam-5928	598	80	{	{	PUNCT
ejpam-5928	598	81	ϵ2	ϵ2	ADJ
ejpam-5928	598	82	,	,	PUNCT
ejpam-5928	598	83	}	}	PUNCT
ejpam-5928	598	84	)	)	PUNCT
ejpam-5928	598	85	}	}	PUNCT
ejpam-5928	598	86	,	,	PUNCT
ejpam-5928	598	87	(	(	PUNCT
ejpam-5928	598	88	ωζ̈2	ωζ̈2	PROPN
ejpam-5928	598	89	,	,	PUNCT
ejpam-5928	598	90	ω	ω	NOUN
ejpam-5928	598	91	λ̈2	λ̈2	NOUN
ejpam-5928	598	92	,	,	PUNCT
ejpam-5928	598	93	µ	µ	NOUN
ejpam-5928	598	94	)	)	PUNCT
ejpam-5928	598	95	=	=	PRON
ejpam-5928	598	96	{	{	PUNCT
ejpam-5928	598	97	(	(	PUNCT
ejpam-5928	598	98	ϑ1	ϑ1	NOUN
ejpam-5928	598	99	,	,	PUNCT
ejpam-5928	598	100	{	{	PUNCT
ejpam-5928	598	101	ϵ2	ϵ2	PROPN
ejpam-5928	598	102	}	}	PUNCT
ejpam-5928	598	103	,	,	PUNCT
ejpam-5928	598	104	{	{	PUNCT
ejpam-5928	598	105	ϵ1	ϵ1	ADJ
ejpam-5928	598	106	}	}	PUNCT
ejpam-5928	598	107	)	)	PUNCT
ejpam-5928	598	108	,	,	PUNCT
ejpam-5928	598	109	(	(	PUNCT
ejpam-5928	598	110	ϑ2	ϑ2	NOUN
ejpam-5928	598	111	,	,	PUNCT
ejpam-5928	598	112	{	{	PUNCT
ejpam-5928	598	113	ϵ2	ϵ2	PROPN
ejpam-5928	598	114	}	}	PUNCT
ejpam-5928	598	115	,	,	PUNCT
ejpam-5928	598	116	{	{	PUNCT
ejpam-5928	598	117	ϵ1	ϵ1	ADJ
ejpam-5928	598	118	}	}	PUNCT
ejpam-5928	598	119	)	)	PUNCT
ejpam-5928	598	120	}	}	PUNCT
ejpam-5928	598	121	and	and	CCONJ
ejpam-5928	598	122	(	(	PUNCT
ejpam-5928	598	123	ωζ̈3	ωζ̈3	NOUN
ejpam-5928	598	124	,	,	PUNCT
ejpam-5928	598	125	ω	ω	NUM
ejpam-5928	598	126	λ̈3	λ̈3	NOUN
ejpam-5928	598	127	,	,	PUNCT
ejpam-5928	598	128	µ	µ	NOUN
ejpam-5928	598	129	)	)	PUNCT
ejpam-5928	598	130	=	=	PRON
ejpam-5928	598	131	{	{	PUNCT
ejpam-5928	598	132	(	(	PUNCT
ejpam-5928	598	133	ϑ1,ω	ϑ1,ω	PROPN
ejpam-5928	598	134	,	,	PUNCT
ejpam-5928	598	135	ϕ	ϕ	NOUN
ejpam-5928	598	136	)	)	PUNCT
ejpam-5928	598	137	,	,	PUNCT
ejpam-5928	598	138	(	(	PUNCT
ejpam-5928	598	139	ϑ2,ω	ϑ2,ω	PROPN
ejpam-5928	598	140	,	,	PUNCT
ejpam-5928	598	141	ϕ	ϕ	NOUN
ejpam-5928	598	142	)	)	PUNCT
ejpam-5928	598	143	}	}	PUNCT
ejpam-5928	598	144	=	=	SYM
ejpam-5928	598	145	(	(	PUNCT
ejpam-5928	598	146	˜̃	˜̃	NOUN
ejpam-5928	598	147	ω	ω	PROPN
ejpam-5928	598	148	,	,	PUNCT
ejpam-5928	598	149	φ	φ	PROPN
ejpam-5928	598	150	,	,	PUNCT
ejpam-5928	598	151	µ	µ	NOUN
ejpam-5928	598	152	)	)	PUNCT
ejpam-5928	598	153	.	.	PUNCT
ejpam-5928	599	1	clearly	clearly	ADV
ejpam-5928	599	2	,	,	PUNCT
ejpam-5928	599	3	(	(	PUNCT
ejpam-5928	599	4	ω	ω	NOUN
ejpam-5928	599	5	,	,	PUNCT
ejpam-5928	599	6	˜̃mω	˜̃mω	PROPN
ejpam-5928	599	7	,	,	PUNCT
ejpam-5928	599	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	599	9	)	)	PUNCT
ejpam-5928	599	10	is	be	AUX
ejpam-5928	599	11	a	a	DET
ejpam-5928	599	12	bs	bs	NOUN
ejpam-5928	599	13	˜̃m	˜̃m	ADV
ejpam-5928	599	14	-	-	PUNCT
ejpam-5928	599	15	disconnected	disconnected	ADJ
ejpam-5928	599	16	subspace	subspace	NOUN
ejpam-5928	599	17	of	of	ADP
ejpam-5928	599	18	(	(	PUNCT
ejpam-5928	599	19	π	π	PROPN
ejpam-5928	599	20	,	,	PUNCT
ejpam-5928	599	21	˜̃m	˜̃m	PROPN
ejpam-5928	599	22	,	,	PUNCT
ejpam-5928	599	23	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	599	24	)	)	PUNCT
ejpam-5928	599	25	.	.	PUNCT
ejpam-5928	600	1	while	while	SCONJ
ejpam-5928	600	2	(	(	PUNCT
ejpam-5928	600	3	π	π	PROPN
ejpam-5928	600	4	,	,	PUNCT
ejpam-5928	600	5	˜̃m	˜̃m	PROPN
ejpam-5928	600	6	,	,	PUNCT
ejpam-5928	600	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	600	8	)	)	PUNCT
ejpam-5928	600	9	is	be	AUX
ejpam-5928	600	10	a	a	DET
ejpam-5928	600	11	bs	bs	NOUN
ejpam-5928	600	12	˜̃m	˜̃m	ADV
ejpam-5928	600	13	-	-	PUNCT
ejpam-5928	600	14	connected	connect	VERB
ejpam-5928	600	15	space	space	NOUN
ejpam-5928	600	16	.	.	PUNCT
ejpam-5928	601	1	r.	r.	PROPN
ejpam-5928	601	2	a.	a.	PROPN
ejpam-5928	601	3	mohammed	mohammed	PROPN
ejpam-5928	601	4	/	/	SYM
ejpam-5928	601	5	eur	eur	PROPN
ejpam-5928	601	6	.	.	PUNCT
ejpam-5928	602	1	j.	j.	PROPN
ejpam-5928	602	2	pure	pure	PROPN
ejpam-5928	602	3	appl	appl	PROPN
ejpam-5928	602	4	.	.	PROPN
ejpam-5928	602	5	math	math	PROPN
ejpam-5928	602	6	,	,	PUNCT
ejpam-5928	602	7	18	18	NUM
ejpam-5928	602	8	(	(	PUNCT
ejpam-5928	602	9	2	2	NUM
ejpam-5928	602	10	)	)	PUNCT
ejpam-5928	602	11	(	(	PUNCT
ejpam-5928	602	12	2025	2025	NUM
ejpam-5928	602	13	)	)	PUNCT
ejpam-5928	602	14	,	,	PUNCT
ejpam-5928	602	15	5928	5928	NUM
ejpam-5928	602	16	23	23	NUM
ejpam-5928	602	17	of	of	ADP
ejpam-5928	602	18	26	26	NUM
ejpam-5928	602	19	example	example	NOUN
ejpam-5928	602	20	13	13	NUM
ejpam-5928	602	21	.	.	PUNCT
ejpam-5928	603	1	let	let	VERB
ejpam-5928	603	2	π	π	NOUN
ejpam-5928	603	3	=	=	PUNCT
ejpam-5928	603	4	{	{	PUNCT
ejpam-5928	603	5	ϵ1	ϵ1	ADJ
ejpam-5928	603	6	,	,	PUNCT
ejpam-5928	603	7	ϵ2	ϵ2	ADJ
ejpam-5928	603	8	,	,	PUNCT
ejpam-5928	603	9	ϵ3	ϵ3	PROPN
ejpam-5928	603	10	}	}	PUNCT
ejpam-5928	603	11	,	,	PUNCT
ejpam-5928	603	12	µ	µ	X
ejpam-5928	603	13	=	=	SYM
ejpam-5928	603	14	{	{	PUNCT
ejpam-5928	603	15	ϑ1	ϑ1	NOUN
ejpam-5928	603	16	,	,	PUNCT
ejpam-5928	603	17	ϑ2	ϑ2	PROPN
ejpam-5928	603	18	}	}	PUNCT
ejpam-5928	603	19	and	and	CCONJ
ejpam-5928	603	20	˜̃m	˜̃m	NOUN
ejpam-5928	603	21	=	=	PUNCT
ejpam-5928	603	22	{	{	PUNCT
ejpam-5928	603	23	(	(	PUNCT
ejpam-5928	603	24	φ	φ	PROPN
ejpam-5928	603	25	,	,	PUNCT
ejpam-5928	603	26	˜̃π	˜̃π	NOUN
ejpam-5928	603	27	,	,	PUNCT
ejpam-5928	603	28	µ	µ	NOUN
ejpam-5928	603	29	)	)	PUNCT
ejpam-5928	603	30	,	,	PUNCT
ejpam-5928	603	31	(	(	PUNCT
ejpam-5928	603	32	˜̃	˜̃	NOUN
ejpam-5928	603	33	π	π	PROPN
ejpam-5928	603	34	,	,	PUNCT
ejpam-5928	603	35	φ	φ	PROPN
ejpam-5928	603	36	,	,	PUNCT
ejpam-5928	603	37	µ	µ	NOUN
ejpam-5928	603	38	)	)	PUNCT
ejpam-5928	603	39	,	,	PUNCT
ejpam-5928	603	40	(	(	PUNCT
ejpam-5928	603	41	ζ̈1	ζ̈1	ADJ
ejpam-5928	603	42	,	,	PUNCT
ejpam-5928	603	43	λ̈1	λ̈1	PROPN
ejpam-5928	603	44	,	,	PUNCT
ejpam-5928	603	45	µ	µ	NOUN
ejpam-5928	603	46	)	)	PUNCT
ejpam-5928	603	47	,	,	PUNCT
ejpam-5928	603	48	(	(	PUNCT
ejpam-5928	603	49	ζ̈2	ζ̈2	PROPN
ejpam-5928	603	50	,	,	PUNCT
ejpam-5928	603	51	λ̈2	λ̈2	NOUN
ejpam-5928	603	52	,	,	PUNCT
ejpam-5928	603	53	µ	µ	NOUN
ejpam-5928	603	54	)	)	PUNCT
ejpam-5928	603	55	}	}	PUNCT
ejpam-5928	603	56	where	where	SCONJ
ejpam-5928	603	57	(	(	PUNCT
ejpam-5928	603	58	ζ̈1	ζ̈1	ADJ
ejpam-5928	603	59	,	,	PUNCT
ejpam-5928	603	60	λ̈1	λ̈1	PROPN
ejpam-5928	603	61	,	,	PUNCT
ejpam-5928	603	62	µ),(ζ̈2	µ),(ζ̈2	PROPN
ejpam-5928	603	63	,	,	PUNCT
ejpam-5928	603	64	λ̈2	λ̈2	NOUN
ejpam-5928	603	65	,	,	PUNCT
ejpam-5928	603	66	µ	µ	NOUN
ejpam-5928	603	67	)	)	PUNCT
ejpam-5928	603	68	˜̃∈	˜̃∈	PROPN
ejpam-5928	603	69	bss(π	bss(π	PROPN
ejpam-5928	603	70	)	)	PUNCT
ejpam-5928	603	71	,	,	PUNCT
ejpam-5928	603	72	defined	define	VERB
ejpam-5928	603	73	as	as	ADP
ejpam-5928	603	74	follows	follow	VERB
ejpam-5928	603	75	(	(	PUNCT
ejpam-5928	603	76	ζ̈1	ζ̈1	ADJ
ejpam-5928	603	77	,	,	PUNCT
ejpam-5928	603	78	λ̈1	λ̈1	PROPN
ejpam-5928	603	79	,	,	PUNCT
ejpam-5928	603	80	µ	µ	NOUN
ejpam-5928	603	81	)	)	PUNCT
ejpam-5928	603	82	=	=	PRON
ejpam-5928	603	83	{	{	PUNCT
ejpam-5928	603	84	(	(	PUNCT
ejpam-5928	603	85	ϑ1	ϑ1	NOUN
ejpam-5928	603	86	,	,	PUNCT
ejpam-5928	603	87	{	{	PUNCT
ejpam-5928	603	88	ϵ1	ϵ1	ADJ
ejpam-5928	603	89	}	}	PUNCT
ejpam-5928	603	90	,	,	PUNCT
ejpam-5928	603	91	{	{	PUNCT
ejpam-5928	603	92	ϵ2	ϵ2	NOUN
ejpam-5928	603	93	}	}	PUNCT
ejpam-5928	603	94	)	)	PUNCT
ejpam-5928	603	95	,	,	PUNCT
ejpam-5928	603	96	(	(	PUNCT
ejpam-5928	603	97	ϑ2	ϑ2	NOUN
ejpam-5928	603	98	,	,	PUNCT
ejpam-5928	603	99	{	{	PUNCT
ejpam-5928	603	100	ϵ2	ϵ2	PROPN
ejpam-5928	603	101	}	}	PUNCT
ejpam-5928	603	102	,	,	PUNCT
ejpam-5928	603	103	{	{	PUNCT
ejpam-5928	603	104	ϵ1	ϵ1	ADJ
ejpam-5928	603	105	,	,	PUNCT
ejpam-5928	603	106	ϵ3	ϵ3	PROPN
ejpam-5928	603	107	}	}	PUNCT
ejpam-5928	603	108	)	)	PUNCT
ejpam-5928	603	109	}	}	PUNCT
ejpam-5928	603	110	and	and	CCONJ
ejpam-5928	603	111	(	(	PUNCT
ejpam-5928	603	112	ζ̈2	ζ̈2	PROPN
ejpam-5928	603	113	,	,	PUNCT
ejpam-5928	603	114	λ̈2	λ̈2	NOUN
ejpam-5928	603	115	,	,	PUNCT
ejpam-5928	603	116	µ	µ	NOUN
ejpam-5928	603	117	)	)	PUNCT
ejpam-5928	603	118	=	=	PRON
ejpam-5928	603	119	{	{	PUNCT
ejpam-5928	603	120	(	(	PUNCT
ejpam-5928	603	121	ϑ1	ϑ1	NOUN
ejpam-5928	603	122	,	,	PUNCT
ejpam-5928	603	123	{	{	PUNCT
ejpam-5928	603	124	ϵ2	ϵ2	ADJ
ejpam-5928	603	125	,	,	PUNCT
ejpam-5928	603	126	ϵ3	ϵ3	PROPN
ejpam-5928	603	127	}	}	PUNCT
ejpam-5928	603	128	,	,	PUNCT
ejpam-5928	603	129	ϕ	ϕ	NOUN
ejpam-5928	603	130	)	)	PUNCT
ejpam-5928	603	131	,	,	PUNCT
ejpam-5928	603	132	(	(	PUNCT
ejpam-5928	603	133	ϑ2	ϑ2	NOUN
ejpam-5928	603	134	,	,	PUNCT
ejpam-5928	603	135	{	{	PUNCT
ejpam-5928	603	136	ϵ1	ϵ1	ADJ
ejpam-5928	603	137	,	,	PUNCT
ejpam-5928	603	138	ϵ3	ϵ3	PROPN
ejpam-5928	603	139	}	}	PUNCT
ejpam-5928	603	140	,	,	PUNCT
ejpam-5928	603	141	{	{	PUNCT
ejpam-5928	603	142	ϵ2	ϵ2	NOUN
ejpam-5928	603	143	}	}	PUNCT
ejpam-5928	603	144	)	)	PUNCT
ejpam-5928	603	145	}	}	PUNCT
ejpam-5928	603	146	.	.	PUNCT
ejpam-5928	604	1	therefore	therefore	ADV
ejpam-5928	604	2	,	,	PUNCT
ejpam-5928	604	3	(	(	PUNCT
ejpam-5928	604	4	π	π	X
ejpam-5928	604	5	,	,	PUNCT
ejpam-5928	604	6	˜̃m	˜̃m	PROPN
ejpam-5928	604	7	,	,	PUNCT
ejpam-5928	604	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	604	9	)	)	PUNCT
ejpam-5928	604	10	is	be	AUX
ejpam-5928	604	11	bs	bs	ADJ
ejpam-5928	604	12	˜̃m	˜̃m	ADV
ejpam-5928	604	13	-	-	PUNCT
ejpam-5928	604	14	disconnected	disconnected	ADJ
ejpam-5928	604	15	space	space	NOUN
ejpam-5928	604	16	.	.	PUNCT
ejpam-5928	605	1	let	let	VERB
ejpam-5928	605	2	ω	ω	NOUN
ejpam-5928	605	3	=	=	SYM
ejpam-5928	605	4	{	{	PUNCT
ejpam-5928	605	5	ϵ3	ϵ3	PROPN
ejpam-5928	605	6	}	}	PUNCT
ejpam-5928	605	7	,	,	PUNCT
ejpam-5928	605	8	then	then	ADV
ejpam-5928	605	9	˜̃mω	˜̃mω	PROPN
ejpam-5928	605	10	=	=	SYM
ejpam-5928	605	11	{	{	PUNCT
ejpam-5928	605	12	(	(	PUNCT
ejpam-5928	605	13	φ	φ	PROPN
ejpam-5928	605	14	,	,	PUNCT
ejpam-5928	605	15	˜̃ω	˜̃ω	PROPN
ejpam-5928	605	16	,	,	PUNCT
ejpam-5928	605	17	µ	µ	NOUN
ejpam-5928	605	18	)	)	PUNCT
ejpam-5928	605	19	,	,	PUNCT
ejpam-5928	605	20	(	(	PUNCT
ejpam-5928	605	21	ωζ̈1,ω	ωζ̈1,ω	NOUN
ejpam-5928	605	22	λ̈1	λ̈1	NOUN
ejpam-5928	605	23	,	,	PUNCT
ejpam-5928	605	24	µ	µ	NOUN
ejpam-5928	605	25	)	)	PUNCT
ejpam-5928	605	26	,	,	PUNCT
ejpam-5928	605	27	(	(	PUNCT
ejpam-5928	605	28	ωζ̈2	ωζ̈2	PROPN
ejpam-5928	605	29	,	,	PUNCT
ejpam-5928	605	30	ω	ω	NOUN
ejpam-5928	605	31	λ̈2	λ̈2	NOUN
ejpam-5928	605	32	,	,	PUNCT
ejpam-5928	605	33	µ	µ	NOUN
ejpam-5928	605	34	)	)	PUNCT
ejpam-5928	605	35	}	}	PUNCT
ejpam-5928	605	36	,	,	PUNCT
ejpam-5928	605	37	s.	s.	PROPN
ejpam-5928	605	38	t.	t.	PROPN
ejpam-5928	605	39	(	(	PUNCT
ejpam-5928	605	40	ωζ̈1	ωζ̈1	NOUN
ejpam-5928	605	41	,	,	PUNCT
ejpam-5928	605	42	ω	ω	NUM
ejpam-5928	605	43	λ̈1	λ̈1	PROPN
ejpam-5928	605	44	,	,	PUNCT
ejpam-5928	605	45	µ	µ	NOUN
ejpam-5928	605	46	)	)	PUNCT
ejpam-5928	605	47	=	=	PRON
ejpam-5928	605	48	{	{	PUNCT
ejpam-5928	605	49	(	(	PUNCT
ejpam-5928	605	50	ϑ1	ϑ1	PROPN
ejpam-5928	605	51	,	,	PUNCT
ejpam-5928	605	52	ϕ	ϕ	PROPN
ejpam-5928	605	53	,	,	PUNCT
ejpam-5928	605	54	ϕ	ϕ	NOUN
ejpam-5928	605	55	)	)	PUNCT
ejpam-5928	605	56	,	,	PUNCT
ejpam-5928	605	57	(	(	PUNCT
ejpam-5928	605	58	ϑ2	ϑ2	NOUN
ejpam-5928	605	59	,	,	PUNCT
ejpam-5928	605	60	ϕ,ω	ϕ,ω	NOUN
ejpam-5928	605	61	)	)	PUNCT
ejpam-5928	605	62	}	}	PUNCT
ejpam-5928	605	63	,	,	PUNCT
ejpam-5928	605	64	(	(	PUNCT
ejpam-5928	605	65	ωζ̈2	ωζ̈2	PROPN
ejpam-5928	605	66	,	,	PUNCT
ejpam-5928	605	67	ω	ω	NOUN
ejpam-5928	605	68	λ̈2	λ̈2	NOUN
ejpam-5928	605	69	,	,	PUNCT
ejpam-5928	605	70	µ	µ	NOUN
ejpam-5928	605	71	)	)	PUNCT
ejpam-5928	605	72	=	=	PRON
ejpam-5928	605	73	{	{	PUNCT
ejpam-5928	605	74	(	(	PUNCT
ejpam-5928	605	75	ϑ1,ω	ϑ1,ω	PROPN
ejpam-5928	605	76	,	,	PUNCT
ejpam-5928	605	77	ϕ	ϕ	NOUN
ejpam-5928	605	78	)	)	PUNCT
ejpam-5928	605	79	,	,	PUNCT
ejpam-5928	605	80	(	(	PUNCT
ejpam-5928	605	81	ϑ2,ω	ϑ2,ω	PROPN
ejpam-5928	605	82	,	,	PUNCT
ejpam-5928	605	83	ϕ	ϕ	NOUN
ejpam-5928	605	84	)	)	PUNCT
ejpam-5928	605	85	}	}	PUNCT
ejpam-5928	605	86	.	.	PUNCT
ejpam-5928	606	1	clearly	clearly	ADV
ejpam-5928	606	2	,	,	PUNCT
ejpam-5928	606	3	(	(	PUNCT
ejpam-5928	606	4	ω	ω	NOUN
ejpam-5928	606	5	,	,	PUNCT
ejpam-5928	606	6	˜̃mω	˜̃mω	PROPN
ejpam-5928	606	7	,	,	PUNCT
ejpam-5928	606	8	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	606	9	)	)	PUNCT
ejpam-5928	606	10	is	be	AUX
ejpam-5928	606	11	bs	bs	ADJ
ejpam-5928	606	12	˜̃m	˜̃m	ADV
ejpam-5928	606	13	-	-	PUNCT
ejpam-5928	606	14	connected	connect	VERB
ejpam-5928	606	15	subspace	subspace	NOUN
ejpam-5928	606	16	of	of	ADP
ejpam-5928	606	17	(	(	PUNCT
ejpam-5928	606	18	π	π	PROPN
ejpam-5928	606	19	,	,	PUNCT
ejpam-5928	606	20	˜̃m	˜̃m	PROPN
ejpam-5928	606	21	,	,	PUNCT
ejpam-5928	606	22	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	606	23	)	)	PUNCT
ejpam-5928	606	24	.	.	PUNCT
ejpam-5928	607	1	while	while	SCONJ
ejpam-5928	607	2	(	(	PUNCT
ejpam-5928	607	3	π	π	PROPN
ejpam-5928	607	4	,	,	PUNCT
ejpam-5928	607	5	˜̃m	˜̃m	PROPN
ejpam-5928	607	6	,	,	PUNCT
ejpam-5928	607	7	µ,¬µ	µ,¬µ	PROPN
ejpam-5928	607	8	)	)	PUNCT
ejpam-5928	607	9	is	be	AUX
ejpam-5928	607	10	a	a	DET
ejpam-5928	607	11	bs	bs	NOUN
ejpam-5928	607	12	˜̃m	˜̃m	ADV
ejpam-5928	607	13	-	-	PUNCT
ejpam-5928	607	14	connected	connect	VERB
ejpam-5928	607	15	space	space	NOUN
ejpam-5928	607	16	.	.	PUNCT
ejpam-5928	608	1	6	6	X
ejpam-5928	608	2	.	.	X
ejpam-5928	608	3	conclusions	conclusion	NOUN
ejpam-5928	608	4	and	and	CCONJ
ejpam-5928	608	5	future	future	ADJ
ejpam-5928	608	6	research	research	NOUN
ejpam-5928	608	7	in	in	ADP
ejpam-5928	608	8	this	this	DET
ejpam-5928	608	9	paper	paper	NOUN
ejpam-5928	608	10	,	,	PUNCT
ejpam-5928	608	11	we	we	PRON
ejpam-5928	608	12	have	have	AUX
ejpam-5928	608	13	presented	present	VERB
ejpam-5928	608	14	a	a	DET
ejpam-5928	608	15	comprehensive	comprehensive	ADJ
ejpam-5928	608	16	study	study	NOUN
ejpam-5928	608	17	on	on	ADP
ejpam-5928	608	18	bipolar	bipolar	ADJ
ejpam-5928	608	19	soft	soft	ADJ
ejpam-5928	608	20	minimal	minimal	ADJ
ejpam-5928	608	21	structures	structure	NOUN
ejpam-5928	608	22	in	in	ADP
ejpam-5928	608	23	the	the	DET
ejpam-5928	608	24	context	context	NOUN
ejpam-5928	608	25	of	of	ADP
ejpam-5928	608	26	bipolar	bipolar	ADJ
ejpam-5928	608	27	soft	soft	ADJ
ejpam-5928	608	28	topology	topology	NOUN
ejpam-5928	608	29	.	.	PUNCT
ejpam-5928	609	1	we	we	PRON
ejpam-5928	609	2	began	begin	VERB
ejpam-5928	609	3	by	by	ADP
ejpam-5928	609	4	providing	provide	VERB
ejpam-5928	609	5	a	a	DET
ejpam-5928	609	6	brief	brief	ADJ
ejpam-5928	609	7	overview	overview	NOUN
ejpam-5928	609	8	of	of	ADP
ejpam-5928	609	9	relevant	relevant	ADJ
ejpam-5928	609	10	preliminaries	preliminary	NOUN
ejpam-5928	609	11	.	.	PUNCT
ejpam-5928	610	1	the	the	DET
ejpam-5928	610	2	new	new	ADJ
ejpam-5928	610	3	structure	structure	NOUN
ejpam-5928	610	4	,	,	PUNCT
ejpam-5928	610	5	termed	term	VERB
ejpam-5928	610	6	the	the	DET
ejpam-5928	610	7	bipolar	bipolar	ADJ
ejpam-5928	610	8	soft	soft	ADJ
ejpam-5928	610	9	minimal	minimal	ADJ
ejpam-5928	610	10	structure	structure	NOUN
ejpam-5928	610	11	,	,	PUNCT
ejpam-5928	610	12	was	be	AUX
ejpam-5928	610	13	introduced	introduce	VERB
ejpam-5928	610	14	,	,	PUNCT
ejpam-5928	610	15	and	and	CCONJ
ejpam-5928	610	16	key	key	ADJ
ejpam-5928	610	17	operators	operator	NOUN
ejpam-5928	610	18	in	in	ADP
ejpam-5928	610	19	bipolar	bipolar	ADJ
ejpam-5928	610	20	soft	soft	ADJ
ejpam-5928	610	21	minimal	minimal	ADJ
ejpam-5928	610	22	spaces	space	NOUN
ejpam-5928	610	23	,	,	PUNCT
ejpam-5928	610	24	such	such	ADJ
ejpam-5928	610	25	as	as	ADP
ejpam-5928	610	26	the	the	DET
ejpam-5928	610	27	˜̃m	˜̃m	ADJ
ejpam-5928	610	28	-	-	PUNCT
ejpam-5928	610	29	interior,˜̃m	interior,˜̃m	NOUN
ejpam-5928	610	30	-	-	PUNCT
ejpam-5928	610	31	closure	closure	NOUN
ejpam-5928	610	32	,	,	PUNCT
ejpam-5928	610	33	and	and	CCONJ
ejpam-5928	610	34	˜̃m	˜̃m	ADJ
ejpam-5928	610	35	-	-	PUNCT
ejpam-5928	610	36	boundary	boundary	NOUN
ejpam-5928	610	37	,	,	PUNCT
ejpam-5928	610	38	were	be	AUX
ejpam-5928	610	39	explored	explore	VERB
ejpam-5928	610	40	in	in	ADP
ejpam-5928	610	41	detail	detail	NOUN
ejpam-5928	610	42	.	.	PUNCT
ejpam-5928	611	1	additionally	additionally	ADV
ejpam-5928	611	2	,	,	PUNCT
ejpam-5928	611	3	we	we	PRON
ejpam-5928	611	4	introduced	introduce	VERB
ejpam-5928	611	5	the	the	DET
ejpam-5928	611	6	concepts	concept	NOUN
ejpam-5928	611	7	of	of	ADP
ejpam-5928	611	8	˜̃m	˜̃m	ADV
ejpam-5928	611	9	-	-	PUNCT
ejpam-5928	611	10	separated	separate	VERB
ejpam-5928	611	11	bipolar	bipolar	ADJ
ejpam-5928	611	12	soft	soft	ADJ
ejpam-5928	611	13	sets	set	NOUN
ejpam-5928	611	14	and	and	CCONJ
ejpam-5928	611	15	bipolar	bipolar	ADJ
ejpam-5928	611	16	soft	soft	ADJ
ejpam-5928	611	17	˜̃m	˜̃m	ADV
ejpam-5928	611	18	-	-	PUNCT
ejpam-5928	611	19	connected	connect	VERB
ejpam-5928	611	20	sets	set	NOUN
ejpam-5928	611	21	,	,	PUNCT
ejpam-5928	611	22	along	along	ADP
ejpam-5928	611	23	with	with	ADP
ejpam-5928	611	24	their	their	PRON
ejpam-5928	611	25	essential	essential	ADJ
ejpam-5928	611	26	properties	property	NOUN
ejpam-5928	611	27	.	.	PUNCT
ejpam-5928	612	1	a	a	DET
ejpam-5928	612	2	new	new	ADJ
ejpam-5928	612	3	concept	concept	NOUN
ejpam-5928	612	4	,	,	PUNCT
ejpam-5928	612	5	called	call	VERB
ejpam-5928	612	6	bipolar	bipolar	ADJ
ejpam-5928	612	7	soft	soft	ADJ
ejpam-5928	612	8	minimal	minimal	ADJ
ejpam-5928	612	9	connected	connected	ADJ
ejpam-5928	612	10	spaces	space	NOUN
ejpam-5928	612	11	,	,	PUNCT
ejpam-5928	612	12	was	be	AUX
ejpam-5928	612	13	also	also	ADV
ejpam-5928	612	14	defined	define	VERB
ejpam-5928	612	15	,	,	PUNCT
ejpam-5928	612	16	and	and	CCONJ
ejpam-5928	612	17	it	it	PRON
ejpam-5928	612	18	was	be	AUX
ejpam-5928	612	19	demonstrated	demonstrate	VERB
ejpam-5928	612	20	that	that	SCONJ
ejpam-5928	612	21	the	the	DET
ejpam-5928	612	22	bipolar	bipolar	ADJ
ejpam-5928	612	23	soft	soft	ADJ
ejpam-5928	612	24	intersection	intersection	NOUN
ejpam-5928	612	25	of	of	ADP
ejpam-5928	612	26	a	a	DET
ejpam-5928	612	27	pair	pair	NOUN
ejpam-5928	612	28	of	of	ADP
ejpam-5928	612	29	bipolar	bipolar	ADJ
ejpam-5928	612	30	soft˜̃m	soft˜̃m	ADV
ejpam-5928	612	31	-	-	PUNCT
ejpam-5928	612	32	connected	connect	VERB
ejpam-5928	612	33	spaces	space	NOUN
ejpam-5928	612	34	over	over	ADP
ejpam-5928	612	35	the	the	DET
ejpam-5928	612	36	common	common	ADJ
ejpam-5928	612	37	universal	universal	ADJ
ejpam-5928	612	38	set	set	NOUN
ejpam-5928	612	39	results	result	NOUN
ejpam-5928	612	40	in	in	ADP
ejpam-5928	612	41	a	a	DET
ejpam-5928	612	42	bipolar	bipolar	ADJ
ejpam-5928	612	43	soft	soft	ADJ
ejpam-5928	612	44	˜̃m	˜̃m	ADV
ejpam-5928	612	45	-	-	PUNCT
ejpam-5928	612	46	connected	connect	VERB
ejpam-5928	612	47	space	space	NOUN
ejpam-5928	612	48	.	.	PUNCT
ejpam-5928	613	1	however	however	ADV
ejpam-5928	613	2	,	,	PUNCT
ejpam-5928	613	3	we	we	PRON
ejpam-5928	613	4	showed	show	VERB
ejpam-5928	613	5	that	that	SCONJ
ejpam-5928	613	6	the	the	DET
ejpam-5928	613	7	bipolar	bipolar	ADJ
ejpam-5928	613	8	soft	soft	ADJ
ejpam-5928	613	9	˜̃m	˜̃m	ADV
ejpam-5928	613	10	-	-	PUNCT
ejpam-5928	613	11	connected	connect	VERB
ejpam-5928	613	12	space	space	NOUN
ejpam-5928	613	13	does	do	AUX
ejpam-5928	613	14	not	not	PART
ejpam-5928	613	15	exhibit	exhibit	VERB
ejpam-5928	613	16	the˜̃m	the˜̃m	NOUN
ejpam-5928	613	17	-	-	PUNCT
ejpam-5928	613	18	hereditary	hereditary	ADJ
ejpam-5928	613	19	property	property	NOUN
ejpam-5928	613	20	.	.	PUNCT
ejpam-5928	614	1	finally	finally	ADV
ejpam-5928	614	2	,	,	PUNCT
ejpam-5928	614	3	we	we	PRON
ejpam-5928	614	4	discussed	discuss	VERB
ejpam-5928	614	5	various	various	ADJ
ejpam-5928	614	6	relationships	relationship	NOUN
ejpam-5928	614	7	,	,	PUNCT
ejpam-5928	614	8	properties	property	NOUN
ejpam-5928	614	9	,	,	PUNCT
ejpam-5928	614	10	and	and	CCONJ
ejpam-5928	614	11	examples	example	NOUN
ejpam-5928	614	12	of	of	ADP
ejpam-5928	614	13	these	these	DET
ejpam-5928	614	14	new	new	ADJ
ejpam-5928	614	15	concepts	concept	NOUN
ejpam-5928	614	16	within	within	ADP
ejpam-5928	614	17	bipolar	bipolar	ADJ
ejpam-5928	614	18	soft	soft	ADJ
ejpam-5928	614	19	minimal	minimal	ADJ
ejpam-5928	614	20	spaces	space	NOUN
ejpam-5928	614	21	,	,	PUNCT
ejpam-5928	614	22	providing	provide	VERB
ejpam-5928	614	23	a	a	DET
ejpam-5928	614	24	foundation	foundation	NOUN
ejpam-5928	614	25	for	for	ADP
ejpam-5928	614	26	further	further	ADJ
ejpam-5928	614	27	research	research	NOUN
ejpam-5928	614	28	in	in	ADP
ejpam-5928	614	29	this	this	DET
ejpam-5928	614	30	area	area	NOUN
ejpam-5928	614	31	.	.	PUNCT
ejpam-5928	615	1	future	future	ADJ
ejpam-5928	615	2	research	research	NOUN
ejpam-5928	615	3	on	on	ADP
ejpam-5928	615	4	bipolar	bipolar	ADJ
ejpam-5928	615	5	soft	soft	ADJ
ejpam-5928	615	6	minimal	minimal	ADJ
ejpam-5928	615	7	spaces	space	NOUN
ejpam-5928	615	8	can	can	AUX
ejpam-5928	615	9	focus	focus	VERB
ejpam-5928	615	10	on	on	ADP
ejpam-5928	615	11	several	several	ADJ
ejpam-5928	615	12	key	key	ADJ
ejpam-5928	615	13	aspects	aspect	NOUN
ejpam-5928	615	14	,	,	PUNCT
ejpam-5928	615	15	including	include	VERB
ejpam-5928	615	16	compactness	compactness	NOUN
ejpam-5928	615	17	,	,	PUNCT
ejpam-5928	615	18	continuous	continuous	ADJ
ejpam-5928	615	19	mappings	mapping	NOUN
ejpam-5928	615	20	,	,	PUNCT
ejpam-5928	615	21	and	and	CCONJ
ejpam-5928	615	22	separation	separation	NOUN
ejpam-5928	615	23	axioms	axiom	VERB
ejpam-5928	615	24	.	.	PUNCT
ejpam-5928	616	1	by	by	ADP
ejpam-5928	616	2	exploring	explore	VERB
ejpam-5928	616	3	these	these	DET
ejpam-5928	616	4	aspects	aspect	NOUN
ejpam-5928	616	5	—	—	PUNCT
ejpam-5928	616	6	compactness	compactness	NOUN
ejpam-5928	616	7	,	,	PUNCT
ejpam-5928	616	8	continuous	continuous	ADJ
ejpam-5928	616	9	mappings	mapping	NOUN
ejpam-5928	616	10	,	,	PUNCT
ejpam-5928	616	11	and	and	CCONJ
ejpam-5928	616	12	separation	separation	NOUN
ejpam-5928	616	13	axioms	axiom	NOUN
ejpam-5928	616	14	—	—	PUNCT
ejpam-5928	616	15	future	future	ADJ
ejpam-5928	616	16	research	research	NOUN
ejpam-5928	616	17	can	can	AUX
ejpam-5928	616	18	significantly	significantly	ADV
ejpam-5928	616	19	contribute	contribute	VERB
ejpam-5928	616	20	to	to	ADP
ejpam-5928	616	21	the	the	DET
ejpam-5928	616	22	development	development	NOUN
ejpam-5928	616	23	of	of	ADP
ejpam-5928	616	24	bipolar	bipolar	ADJ
ejpam-5928	616	25	soft	soft	ADJ
ejpam-5928	616	26	minimal	minimal	ADJ
ejpam-5928	616	27	spaces	space	NOUN
ejpam-5928	616	28	and	and	CCONJ
ejpam-5928	616	29	their	their	PRON
ejpam-5928	616	30	applications	application	NOUN
ejpam-5928	616	31	across	across	ADP
ejpam-5928	616	32	a	a	DET
ejpam-5928	616	33	range	range	NOUN
ejpam-5928	616	34	of	of	ADP
ejpam-5928	616	35	fields	field	NOUN
ejpam-5928	616	36	.	.	PUNCT
ejpam-5928	617	1	references	reference	NOUN
ejpam-5928	617	2	[	[	X
ejpam-5928	617	3	1	1	NUM
ejpam-5928	617	4	]	]	PUNCT
ejpam-5928	617	5	d	d	X
ejpam-5928	617	6	molodtsov	molodtsov	PROPN
ejpam-5928	617	7	.	.	PUNCT
ejpam-5928	618	1	soft	soft	ADJ
ejpam-5928	618	2	set	set	NOUN
ejpam-5928	618	3	theory	theory	NOUN
ejpam-5928	618	4	—	—	PUNCT
ejpam-5928	618	5	first	first	ADJ
ejpam-5928	618	6	results	result	NOUN
ejpam-5928	618	7	.	.	PUNCT
ejpam-5928	619	1	computers	computer	NOUN
ejpam-5928	619	2	and	and	CCONJ
ejpam-5928	619	3	mathematics	mathematic	NOUN
ejpam-5928	619	4	with	with	ADP
ejpam-5928	619	5	applications	application	NOUN
ejpam-5928	619	6	,	,	PUNCT
ejpam-5928	619	7	37(4):19–31	37(4):19–31	NUM
ejpam-5928	619	8	,	,	PUNCT
ejpam-5928	619	9	1999	1999	NUM
ejpam-5928	619	10	.	.	PUNCT
ejpam-5928	620	1	[	[	X
ejpam-5928	620	2	2	2	X
ejpam-5928	620	3	]	]	X
ejpam-5928	620	4	p	p	X
ejpam-5928	620	5	k	k	PROPN
ejpam-5928	620	6	maji	maji	PROPN
ejpam-5928	620	7	,	,	PUNCT
ejpam-5928	620	8	r	r	NOUN
ejpam-5928	620	9	biswas	biswas	PROPN
ejpam-5928	620	10	,	,	PUNCT
ejpam-5928	620	11	and	and	CCONJ
ejpam-5928	620	12	a	a	DET
ejpam-5928	620	13	r	r	NOUN
ejpam-5928	620	14	roy	roy	PROPN
ejpam-5928	620	15	.	.	PROPN
ejpam-5928	620	16	soft	soft	ADJ
ejpam-5928	620	17	set	set	NOUN
ejpam-5928	620	18	theory	theory	NOUN
ejpam-5928	620	19	.	.	PUNCT
ejpam-5928	621	1	computers	computer	NOUN
ejpam-5928	621	2	and	and	CCONJ
ejpam-5928	621	3	mathematics	mathematic	NOUN
ejpam-5928	621	4	with	with	ADP
ejpam-5928	621	5	applications	application	NOUN
ejpam-5928	621	6	,	,	PUNCT
ejpam-5928	621	7	45:555–562	45:555–562	PROPN
ejpam-5928	621	8	,	,	PUNCT
ejpam-5928	621	9	2003	2003	NUM
ejpam-5928	621	10	.	.	PUNCT
ejpam-5928	622	1	r.	r.	PROPN
ejpam-5928	622	2	a.	a.	PROPN
ejpam-5928	622	3	mohammed	mohammed	PROPN
ejpam-5928	622	4	/	/	SYM
ejpam-5928	622	5	eur	eur	PROPN
ejpam-5928	622	6	.	.	PUNCT
ejpam-5928	623	1	j.	j.	PROPN
ejpam-5928	623	2	pure	pure	PROPN
ejpam-5928	623	3	appl	appl	PROPN
ejpam-5928	623	4	.	.	PROPN
ejpam-5928	623	5	math	math	PROPN
ejpam-5928	623	6	,	,	PUNCT
ejpam-5928	623	7	18	18	NUM
ejpam-5928	623	8	(	(	PUNCT
ejpam-5928	623	9	2	2	NUM
ejpam-5928	623	10	)	)	PUNCT
ejpam-5928	623	11	(	(	PUNCT
ejpam-5928	623	12	2025	2025	NUM
ejpam-5928	623	13	)	)	PUNCT
ejpam-5928	623	14	,	,	PUNCT
ejpam-5928	623	15	5928	5928	NUM
ejpam-5928	623	16	24	24	NUM
ejpam-5928	623	17	of	of	ADP
ejpam-5928	623	18	26	26	NUM
ejpam-5928	624	1	[	[	X
ejpam-5928	624	2	3	3	NUM
ejpam-5928	624	3	]	]	PUNCT
ejpam-5928	624	4	n	n	PRON
ejpam-5928	624	5	çaǧman	çaǧman	PROPN
ejpam-5928	624	6	and	and	CCONJ
ejpam-5928	624	7	s	s	PROPN
ejpam-5928	624	8	enginoğlu	enginoğlu	PROPN
ejpam-5928	624	9	.	.	PUNCT
ejpam-5928	625	1	soft	soft	ADJ
ejpam-5928	625	2	set	set	NOUN
ejpam-5928	625	3	theory	theory	NOUN
ejpam-5928	625	4	and	and	CCONJ
ejpam-5928	625	5	uni	uni	ADJ
ejpam-5928	625	6	-	-	ADJ
ejpam-5928	625	7	int	int	NOUN
ejpam-5928	625	8	decision	decision	NOUN
ejpam-5928	625	9	making	making	NOUN
ejpam-5928	625	10	.	.	PUNCT
ejpam-5928	626	1	european	european	ADJ
ejpam-5928	626	2	journal	journal	PROPN
ejpam-5928	626	3	of	of	ADP
ejpam-5928	626	4	operational	operational	ADJ
ejpam-5928	626	5	research	research	NOUN
ejpam-5928	626	6	,	,	PUNCT
ejpam-5928	626	7	207:848–855	207:848–855	NUM
ejpam-5928	626	8	,	,	PUNCT
ejpam-5928	626	9	2010	2010	NUM
ejpam-5928	626	10	.	.	PUNCT
ejpam-5928	627	1	[	[	X
ejpam-5928	627	2	4	4	X
ejpam-5928	627	3	]	]	X
ejpam-5928	627	4	h	h	NOUN
ejpam-5928	627	5	aktas	akta	NOUN
ejpam-5928	627	6	and	and	CCONJ
ejpam-5928	627	7	n	n	PRON
ejpam-5928	627	8	çaǧman	çaǧman	PROPN
ejpam-5928	627	9	.	.	PUNCT
ejpam-5928	627	10	soft	soft	ADJ
ejpam-5928	627	11	sets	set	NOUN
ejpam-5928	627	12	and	and	CCONJ
ejpam-5928	627	13	soft	soft	ADJ
ejpam-5928	627	14	groups	group	NOUN
ejpam-5928	627	15	.	.	PUNCT
ejpam-5928	628	1	information	information	NOUN
ejpam-5928	628	2	sciences	sciences	PROPN
ejpam-5928	628	3	,	,	PUNCT
ejpam-5928	628	4	177:2726–2735	177:2726–2735	NUM
ejpam-5928	628	5	,	,	PUNCT
ejpam-5928	628	6	2007	2007	NUM
ejpam-5928	628	7	.	.	PUNCT
ejpam-5928	629	1	[	[	X
ejpam-5928	629	2	5	5	NUM
ejpam-5928	629	3	]	]	X
ejpam-5928	629	4	r	r	NOUN
ejpam-5928	629	5	abu	abu	PROPN
ejpam-5928	629	6	-	-	PUNCT
ejpam-5928	629	7	gdairi	gdairi	PROPN
ejpam-5928	629	8	and	and	CCONJ
ejpam-5928	629	9	mk	mk	PROPN
ejpam-5928	629	10	el	el	PROPN
ejpam-5928	629	11	-	-	PROPN
ejpam-5928	629	12	bably	bably	ADV
ejpam-5928	629	13	.	.	PUNCT
ejpam-5928	630	1	the	the	DET
ejpam-5928	630	2	accurate	accurate	ADJ
ejpam-5928	630	3	diagnosis	diagnosis	NOUN
ejpam-5928	630	4	for	for	ADP
ejpam-5928	630	5	covid-19	covid-19	PROPN
ejpam-5928	630	6	variants	variant	NOUN
ejpam-5928	630	7	using	use	VERB
ejpam-5928	630	8	nearly	nearly	ADV
ejpam-5928	630	9	initial	initial	ADJ
ejpam-5928	630	10	-	-	PUNCT
ejpam-5928	630	11	rough	rough	ADJ
ejpam-5928	630	12	sets	set	NOUN
ejpam-5928	630	13	.	.	PUNCT
ejpam-5928	631	1	heliyon	heliyon	NOUN
ejpam-5928	631	2	,	,	PUNCT
ejpam-5928	631	3	10(10	10(10	NUM
ejpam-5928	631	4	)	)	PUNCT
ejpam-5928	631	5	,	,	PUNCT
ejpam-5928	631	6	2024	2024	NUM
ejpam-5928	631	7	.	.	PUNCT
ejpam-5928	632	1	[	[	X
ejpam-5928	632	2	6	6	NUM
ejpam-5928	632	3	]	]	PUNCT
ejpam-5928	632	4	m	m	VERB
ejpam-5928	632	5	i	i	NOUN
ejpam-5928	632	6	ali	ali	PROPN
ejpam-5928	632	7	,	,	PUNCT
ejpam-5928	632	8	f	f	PROPN
ejpam-5928	632	9	feng	feng	PROPN
ejpam-5928	632	10	,	,	PUNCT
ejpam-5928	632	11	x	x	PROPN
ejpam-5928	632	12	liu	liu	PROPN
ejpam-5928	632	13	x	x	PROPN
ejpam-5928	632	14	,	,	PUNCT
ejpam-5928	632	15	w	w	PROPN
ejpam-5928	632	16	k	k	PROPN
ejpam-5928	632	17	min	min	PROPN
ejpam-5928	632	18	,	,	PUNCT
ejpam-5928	632	19	and	and	CCONJ
ejpam-5928	632	20	m	m	PROPN
ejpam-5928	632	21	shabir	shabir	PROPN
ejpam-5928	632	22	.	.	PUNCT
ejpam-5928	633	1	on	on	ADP
ejpam-5928	633	2	some	some	DET
ejpam-5928	633	3	new	new	ADJ
ejpam-5928	633	4	operations	operation	NOUN
ejpam-5928	633	5	in	in	ADP
ejpam-5928	633	6	soft	soft	ADJ
ejpam-5928	633	7	set	set	NOUN
ejpam-5928	633	8	theory	theory	NOUN
ejpam-5928	633	9	.	.	PUNCT
ejpam-5928	634	1	computers	computer	NOUN
ejpam-5928	634	2	and	and	CCONJ
ejpam-5928	634	3	mathematics	mathematic	NOUN
ejpam-5928	634	4	with	with	ADP
ejpam-5928	634	5	applications	application	NOUN
ejpam-5928	634	6	,	,	PUNCT
ejpam-5928	634	7	57:1547–1553	57:1547–1553	NUM
ejpam-5928	634	8	,	,	PUNCT
ejpam-5928	634	9	2009	2009	NUM
ejpam-5928	634	10	.	.	PUNCT
ejpam-5928	635	1	[	[	X
ejpam-5928	635	2	7	7	X
ejpam-5928	635	3	]	]	X
ejpam-5928	635	4	k	k	PROPN
ejpam-5928	635	5	v	v	X
ejpam-5928	635	6	babitha	babitha	NOUN
ejpam-5928	635	7	and	and	CCONJ
ejpam-5928	635	8	j	j	PROPN
ejpam-5928	635	9	sunil	sunil	PROPN
ejpam-5928	635	10	.	.	PUNCT
ejpam-5928	636	1	soft	soft	ADJ
ejpam-5928	636	2	set	set	VERB
ejpam-5928	636	3	relations	relation	NOUN
ejpam-5928	636	4	and	and	CCONJ
ejpam-5928	636	5	functions	function	NOUN
ejpam-5928	636	6	.	.	PUNCT
ejpam-5928	637	1	computers	computer	NOUN
ejpam-5928	637	2	and	and	CCONJ
ejpam-5928	637	3	mathematics	mathematic	NOUN
ejpam-5928	637	4	with	with	ADP
ejpam-5928	637	5	applications	application	NOUN
ejpam-5928	637	6	,	,	PUNCT
ejpam-5928	637	7	60(7):1840–1849	60(7):1840–1849	NUM
ejpam-5928	637	8	,	,	PUNCT
ejpam-5928	637	9	2010	2010	NUM
ejpam-5928	637	10	.	.	PUNCT
ejpam-5928	638	1	[	[	X
ejpam-5928	638	2	8	8	NUM
ejpam-5928	638	3	]	]	X
ejpam-5928	638	4	mk	mk	PROPN
ejpam-5928	638	5	el	el	PROPN
ejpam-5928	638	6	-	-	PROPN
ejpam-5928	638	7	bably	bably	ADV
ejpam-5928	638	8	,	,	PUNCT
ejpam-5928	638	9	r	r	NOUN
ejpam-5928	638	10	abu	abu	PROPN
ejpam-5928	638	11	-	-	PUNCT
ejpam-5928	638	12	gdairi	gdairi	PROPN
ejpam-5928	638	13	,	,	PUNCT
ejpam-5928	638	14	kk	kk	PROPN
ejpam-5928	638	15	fleifel	fleifel	NOUN
ejpam-5928	638	16	,	,	PUNCT
ejpam-5928	638	17	and	and	CCONJ
ejpam-5928	638	18	ma	ma	PROPN
ejpam-5928	638	19	el	el	PROPN
ejpam-5928	638	20	-	-	PROPN
ejpam-5928	638	21	gayar	gayar	NOUN
ejpam-5928	638	22	.	.	PUNCT
ejpam-5928	639	1	exploring	explore	VERB
ejpam-5928	639	2	β	β	NOUN
ejpam-5928	639	3	-	-	ADJ
ejpam-5928	639	4	basic	basic	ADJ
ejpam-5928	639	5	rough	rough	ADJ
ejpam-5928	639	6	sets	set	NOUN
ejpam-5928	639	7	and	and	CCONJ
ejpam-5928	639	8	their	their	PRON
ejpam-5928	639	9	applications	application	NOUN
ejpam-5928	639	10	in	in	ADP
ejpam-5928	639	11	medicine	medicine	NOUN
ejpam-5928	639	12	.	.	PUNCT
ejpam-5928	640	1	european	european	ADJ
ejpam-5928	640	2	journal	journal	PROPN
ejpam-5928	640	3	of	of	ADP
ejpam-5928	640	4	pure	pure	ADJ
ejpam-5928	640	5	and	and	CCONJ
ejpam-5928	640	6	applied	applied	ADJ
ejpam-5928	640	7	mathematics	mathematic	NOUN
ejpam-5928	640	8	,	,	PUNCT
ejpam-5928	640	9	17(4):3743–3771	17(4):3743–3771	NUM
ejpam-5928	640	10	,	,	PUNCT
ejpam-5928	640	11	2024	2024	NUM
ejpam-5928	640	12	.	.	PUNCT
ejpam-5928	641	1	[	[	X
ejpam-5928	641	2	9	9	NUM
ejpam-5928	641	3	]	]	X
ejpam-5928	641	4	d	d	X
ejpam-5928	641	5	pei	pei	PROPN
ejpam-5928	641	6	and	and	CCONJ
ejpam-5928	641	7	d	d	PROPN
ejpam-5928	641	8	miao	miao	PROPN
ejpam-5928	641	9	.	.	PROPN
ejpam-5928	641	10	from	from	ADP
ejpam-5928	641	11	soft	soft	ADJ
ejpam-5928	641	12	sets	set	NOUN
ejpam-5928	641	13	to	to	ADP
ejpam-5928	641	14	information	information	NOUN
ejpam-5928	641	15	systems	system	NOUN
ejpam-5928	641	16	.	.	PUNCT
ejpam-5928	642	1	ieee	ieee	PROPN
ejpam-5928	642	2	international	international	PROPN
ejpam-5928	642	3	conference	conference	NOUN
ejpam-5928	642	4	on	on	ADP
ejpam-5928	642	5	granular	granular	ADJ
ejpam-5928	642	6	computing	computing	NOUN
ejpam-5928	642	7	,	,	PUNCT
ejpam-5928	642	8	2:617–621	2:617–621	NUM
ejpam-5928	642	9	,	,	PUNCT
ejpam-5928	642	10	2005	2005	NUM
ejpam-5928	642	11	.	.	PUNCT
ejpam-5928	643	1	[	[	X
ejpam-5928	643	2	10	10	NUM
ejpam-5928	643	3	]	]	X
ejpam-5928	643	4	m	m	PROPN
ejpam-5928	643	5	saeed	saeed	PROPN
ejpam-5928	643	6	,	,	PUNCT
ejpam-5928	643	7	m	m	PROPN
ejpam-5928	643	8	hussain	hussain	NOUN
ejpam-5928	643	9	,	,	PUNCT
ejpam-5928	643	10	and	and	CCONJ
ejpam-5928	643	11	a	a	DET
ejpam-5928	643	12	amughal	amughal	NOUN
ejpam-5928	643	13	.	.	PUNCT
ejpam-5928	644	1	a	a	DET
ejpam-5928	644	2	study	study	NOUN
ejpam-5928	644	3	of	of	ADP
ejpam-5928	644	4	soft	soft	ADJ
ejpam-5928	644	5	sets	set	NOUN
ejpam-5928	644	6	with	with	ADP
ejpam-5928	644	7	soft	soft	ADJ
ejpam-5928	644	8	members	member	NOUN
ejpam-5928	644	9	and	and	CCONJ
ejpam-5928	644	10	soft	soft	ADJ
ejpam-5928	644	11	elements	element	NOUN
ejpam-5928	644	12	:	:	PUNCT
ejpam-5928	644	13	a	a	DET
ejpam-5928	644	14	new	new	ADJ
ejpam-5928	644	15	approach	approach	NOUN
ejpam-5928	644	16	.	.	PUNCT
ejpam-5928	645	1	punjab	punjab	PROPN
ejpam-5928	645	2	university	university	PROPN
ejpam-5928	645	3	journal	journal	NOUN
ejpam-5928	645	4	of	of	ADP
ejpam-5928	645	5	mathematics	mathematic	NOUN
ejpam-5928	645	6	,	,	PUNCT
ejpam-5928	645	7	52(8):1–15	52(8):1–15	NUM
ejpam-5928	645	8	,	,	PUNCT
ejpam-5928	645	9	2020	2020	NUM
ejpam-5928	645	10	.	.	PUNCT
ejpam-5928	646	1	[	[	X
ejpam-5928	646	2	11	11	NUM
ejpam-5928	646	3	]	]	PUNCT
ejpam-5928	646	4	a	a	DET
ejpam-5928	646	5	sezgin	sezgin	NOUN
ejpam-5928	646	6	and	and	CCONJ
ejpam-5928	646	7	a	a	DET
ejpam-5928	646	8	o	o	NOUN
ejpam-5928	646	9	atagün	atagün	NOUN
ejpam-5928	646	10	.	.	PUNCT
ejpam-5928	647	1	on	on	ADP
ejpam-5928	647	2	operations	operation	NOUN
ejpam-5928	647	3	of	of	ADP
ejpam-5928	647	4	soft	soft	ADJ
ejpam-5928	647	5	sets	set	NOUN
ejpam-5928	647	6	.	.	PUNCT
ejpam-5928	648	1	computers	computer	NOUN
ejpam-5928	648	2	and	and	CCONJ
ejpam-5928	648	3	mathematics	mathematic	NOUN
ejpam-5928	648	4	with	with	ADP
ejpam-5928	648	5	applications	application	NOUN
ejpam-5928	648	6	,	,	PUNCT
ejpam-5928	648	7	61(5):1457–1467	61(5):1457–1467	NUM
ejpam-5928	648	8	,	,	PUNCT
ejpam-5928	648	9	2011	2011	NUM
ejpam-5928	648	10	.	.	PUNCT
ejpam-5928	649	1	[	[	X
ejpam-5928	649	2	12	12	NUM
ejpam-5928	649	3	]	]	X
ejpam-5928	649	4	m	m	VERB
ejpam-5928	649	5	zhou	zhou	PROPN
ejpam-5928	649	6	,	,	PUNCT
ejpam-5928	649	7	s	s	PART
ejpam-5928	649	8	li	li	PROPN
ejpam-5928	649	9	,	,	PUNCT
ejpam-5928	649	10	and	and	CCONJ
ejpam-5928	649	11	m	m	PROPN
ejpam-5928	649	12	akram	akram	PROPN
ejpam-5928	649	13	.	.	PUNCT
ejpam-5928	650	1	categorical	categorical	ADJ
ejpam-5928	650	2	properties	property	NOUN
ejpam-5928	650	3	of	of	ADP
ejpam-5928	650	4	soft	soft	ADJ
ejpam-5928	650	5	sets	set	NOUN
ejpam-5928	650	6	.	.	PUNCT
ejpam-5928	651	1	the	the	DET
ejpam-5928	651	2	scientific	scientific	ADJ
ejpam-5928	651	3	world	world	NOUN
ejpam-5928	651	4	journal	journal	NOUN
ejpam-5928	651	5	,	,	PUNCT
ejpam-5928	651	6	2014	2014	NUM
ejpam-5928	651	7	:	:	PUNCT
ejpam-5928	651	8	article	article	NOUN
ejpam-5928	651	9	i	i	PROPN
ejpam-5928	651	10	d	d	PROPN
ejpam-5928	651	11	783056	783056	NUM
ejpam-5928	651	12	,	,	PUNCT
ejpam-5928	651	13	2014	2014	NUM
ejpam-5928	651	14	.	.	PUNCT
ejpam-5928	652	1	[	[	X
ejpam-5928	652	2	13	13	NUM
ejpam-5928	652	3	]	]	X
ejpam-5928	652	4	p	p	X
ejpam-5928	652	5	zhu	zhu	PROPN
ejpam-5928	652	6	and	and	CCONJ
ejpam-5928	652	7	q	q	ADJ
ejpam-5928	652	8	wen	wen	PROPN
ejpam-5928	652	9	.	.	PUNCT
ejpam-5928	653	1	operations	operation	NOUN
ejpam-5928	653	2	on	on	ADP
ejpam-5928	653	3	soft	soft	ADJ
ejpam-5928	653	4	sets	set	NOUN
ejpam-5928	653	5	revisited	revisit	VERB
ejpam-5928	653	6	.	.	PUNCT
ejpam-5928	654	1	journal	journal	NOUN
ejpam-5928	654	2	of	of	ADP
ejpam-5928	654	3	applied	apply	VERB
ejpam-5928	654	4	mathematics	mathematic	NOUN
ejpam-5928	654	5	,	,	PUNCT
ejpam-5928	654	6	2013	2013	NUM
ejpam-5928	654	7	:	:	PUNCT
ejpam-5928	654	8	article	article	NOUN
ejpam-5928	654	9	i	i	PROPN
ejpam-5928	654	10	d	d	PROPN
ejpam-5928	654	11	105752	105752	NUM
ejpam-5928	654	12	,	,	PUNCT
ejpam-5928	654	13	2013	2013	NUM
ejpam-5928	654	14	.	.	PUNCT
ejpam-5928	655	1	[	[	X
ejpam-5928	655	2	14	14	NUM
ejpam-5928	655	3	]	]	X
ejpam-5928	655	4	m	m	VERB
ejpam-5928	655	5	shabir	shabir	NOUN
ejpam-5928	655	6	and	and	CCONJ
ejpam-5928	655	7	m	m	PROPN
ejpam-5928	655	8	naz	naz	PROPN
ejpam-5928	655	9	.	.	PUNCT
ejpam-5928	656	1	on	on	ADP
ejpam-5928	656	2	soft	soft	ADJ
ejpam-5928	656	3	topological	topological	ADJ
ejpam-5928	656	4	spaces	space	NOUN
ejpam-5928	656	5	.	.	PUNCT
ejpam-5928	657	1	computers	computer	NOUN
ejpam-5928	657	2	and	and	CCONJ
ejpam-5928	657	3	mathematics	mathematic	NOUN
ejpam-5928	657	4	with	with	ADP
ejpam-5928	657	5	applications	application	NOUN
ejpam-5928	657	6	,	,	PUNCT
ejpam-5928	657	7	61(7):1786–1799	61(7):1786–1799	NUM
ejpam-5928	657	8	,	,	PUNCT
ejpam-5928	657	9	2011	2011	NUM
ejpam-5928	657	10	.	.	PUNCT
ejpam-5928	658	1	[	[	X
ejpam-5928	658	2	15	15	NUM
ejpam-5928	658	3	]	]	X
ejpam-5928	658	4	n	n	PRON
ejpam-5928	658	5	çaǧman	çaǧman	PROPN
ejpam-5928	658	6	,	,	PUNCT
ejpam-5928	658	7	s	s	VERB
ejpam-5928	658	8	karataş	karataş	PROPN
ejpam-5928	658	9	,	,	PUNCT
ejpam-5928	658	10	and	and	CCONJ
ejpam-5928	658	11	s	s	VERB
ejpam-5928	658	12	enginoğlu	enginoğlu	X
ejpam-5928	658	13	.	.	PUNCT
ejpam-5928	658	14	soft	soft	ADJ
ejpam-5928	658	15	topology	topology	NOUN
ejpam-5928	658	16	.	.	PUNCT
ejpam-5928	659	1	computers	computer	NOUN
ejpam-5928	659	2	and	and	CCONJ
ejpam-5928	659	3	mathematics	mathematic	NOUN
ejpam-5928	659	4	with	with	ADP
ejpam-5928	659	5	applications	application	NOUN
ejpam-5928	659	6	,	,	PUNCT
ejpam-5928	659	7	62(1):351–358	62(1):351–358	PROPN
ejpam-5928	659	8	,	,	PUNCT
ejpam-5928	659	9	2011	2011	NUM
ejpam-5928	659	10	.	.	PUNCT
ejpam-5928	660	1	[	[	X
ejpam-5928	660	2	16	16	NUM
ejpam-5928	660	3	]	]	X
ejpam-5928	660	4	s	s	PART
ejpam-5928	660	5	al	al	PROPN
ejpam-5928	660	6	-	-	PUNCT
ejpam-5928	660	7	ghour	ghour	PROPN
ejpam-5928	660	8	and	and	CCONJ
ejpam-5928	660	9	z	z	NOUN
ejpam-5928	660	10	a	a	DET
ejpam-5928	660	11	ameen	ameen	NOUN
ejpam-5928	660	12	.	.	PUNCT
ejpam-5928	661	1	maximal	maximal	ADJ
ejpam-5928	661	2	soft	soft	ADJ
ejpam-5928	661	3	compact	compact	ADJ
ejpam-5928	661	4	and	and	CCONJ
ejpam-5928	661	5	maximal	maximal	ADJ
ejpam-5928	661	6	soft	soft	ADJ
ejpam-5928	661	7	connected	connected	ADJ
ejpam-5928	661	8	topologies	topology	NOUN
ejpam-5928	661	9	.	.	PUNCT
ejpam-5928	662	1	applied	apply	VERB
ejpam-5928	662	2	computational	computational	ADJ
ejpam-5928	662	3	intelligence	intelligence	NOUN
ejpam-5928	662	4	and	and	CCONJ
ejpam-5928	662	5	soft	soft	ADJ
ejpam-5928	662	6	computing	computing	NOUN
ejpam-5928	662	7	,	,	PUNCT
ejpam-5928	662	8	2022	2022	NUM
ejpam-5928	662	9	:	:	PUNCT
ejpam-5928	662	10	article	article	NOUN
ejpam-5928	662	11	i	i	PROPN
ejpam-5928	662	12	d	d	PROPN
ejpam-5928	662	13	9860015	9860015	NUM
ejpam-5928	662	14	,	,	PUNCT
ejpam-5928	662	15	2022	2022	NUM
ejpam-5928	662	16	.	.	PUNCT
ejpam-5928	663	1	[	[	X
ejpam-5928	663	2	17	17	NUM
ejpam-5928	663	3	]	]	X
ejpam-5928	663	4	m	m	VERB
ejpam-5928	663	5	h	h	NOUN
ejpam-5928	663	6	alqahtani	alqahtani	ADJ
ejpam-5928	663	7	and	and	CCONJ
ejpam-5928	663	8	z	z	PROPN
ejpam-5928	663	9	a	a	DET
ejpam-5928	663	10	ameen	ameen	NOUN
ejpam-5928	663	11	.	.	PUNCT
ejpam-5928	664	1	soft	soft	ADJ
ejpam-5928	664	2	nodec	nodec	ADJ
ejpam-5928	664	3	spaces	space	NOUN
ejpam-5928	664	4	.	.	PUNCT
ejpam-5928	665	1	aims	aim	VERB
ejpam-5928	665	2	mathematics	mathematic	NOUN
ejpam-5928	665	3	,	,	PUNCT
ejpam-5928	665	4	9(2):3289	9(2):3289	NUM
ejpam-5928	665	5	–	–	PUNCT
ejpam-5928	665	6	3302	3302	NUM
ejpam-5928	665	7	,	,	PUNCT
ejpam-5928	665	8	2024	2024	NUM
ejpam-5928	665	9	.	.	PUNCT
ejpam-5928	666	1	[	[	X
ejpam-5928	666	2	18	18	NUM
ejpam-5928	666	3	]	]	X
ejpam-5928	666	4	o	o	X
ejpam-5928	666	5	f	f	PROPN
ejpam-5928	666	6	alghamdi	alghamdi	NOUN
ejpam-5928	666	7	,	,	PUNCT
ejpam-5928	666	8	m	m	VERB
ejpam-5928	666	9	h	h	NOUN
ejpam-5928	666	10	alqahtani	alqahtani	ADJ
ejpam-5928	666	11	,	,	PUNCT
ejpam-5928	666	12	and	and	CCONJ
ejpam-5928	666	13	z	z	X
ejpam-5928	666	14	a	a	DET
ejpam-5928	666	15	ameen	ameen	NOUN
ejpam-5928	666	16	.	.	PUNCT
ejpam-5928	667	1	on	on	ADP
ejpam-5928	667	2	soft	soft	ADJ
ejpam-5928	667	3	submaximal	submaximal	ADJ
ejpam-5928	667	4	and	and	CCONJ
ejpam-5928	667	5	soft	soft	ADJ
ejpam-5928	667	6	door	door	NOUN
ejpam-5928	667	7	spaces	space	NOUN
ejpam-5928	667	8	.	.	PUNCT
ejpam-5928	668	1	contemporary	contemporary	ADJ
ejpam-5928	668	2	mathematics	mathematic	NOUN
ejpam-5928	668	3	,	,	PUNCT
ejpam-5928	668	4	pages	page	NOUN
ejpam-5928	668	5	663–675	663–675	NUM
ejpam-5928	668	6	,	,	PUNCT
ejpam-5928	668	7	2025	2025	NUM
ejpam-5928	668	8	.	.	PUNCT
ejpam-5928	669	1	[	[	X
ejpam-5928	669	2	19	19	NUM
ejpam-5928	669	3	]	]	X
ejpam-5928	669	4	m	m	VERB
ejpam-5928	669	5	h	h	NOUN
ejpam-5928	669	6	alqahtani	alqahtani	ADJ
ejpam-5928	669	7	,	,	PUNCT
ejpam-5928	669	8	o	o	NOUN
ejpam-5928	669	9	f	f	X
ejpam-5928	669	10	alghamdi	alghamdi	NOUN
ejpam-5928	669	11	,	,	PUNCT
ejpam-5928	669	12	and	and	CCONJ
ejpam-5928	669	13	z	z	X
ejpam-5928	669	14	a	a	DET
ejpam-5928	669	15	ameen	ameen	NOUN
ejpam-5928	669	16	.	.	PUNCT
ejpam-5928	670	1	nodecness	nodecness	NOUN
ejpam-5928	670	2	of	of	ADP
ejpam-5928	670	3	soft	soft	ADJ
ejpam-5928	670	4	generalized	generalized	ADJ
ejpam-5928	670	5	topological	topological	ADJ
ejpam-5928	670	6	spaces	space	NOUN
ejpam-5928	670	7	.	.	PUNCT
ejpam-5928	671	1	international	international	ADJ
ejpam-5928	671	2	journal	journal	NOUN
ejpam-5928	671	3	of	of	ADP
ejpam-5928	671	4	analysis	analysis	NOUN
ejpam-5928	671	5	and	and	CCONJ
ejpam-5928	671	6	applications	application	NOUN
ejpam-5928	671	7	,	,	PUNCT
ejpam-5928	671	8	22:149–149	22:149–149	NUM
ejpam-5928	671	9	,	,	PUNCT
ejpam-5928	671	10	2024	2024	NUM
ejpam-5928	671	11	.	.	PUNCT
ejpam-5928	672	1	[	[	X
ejpam-5928	672	2	20	20	NUM
ejpam-5928	672	3	]	]	X
ejpam-5928	672	4	z	z	NOUN
ejpam-5928	672	5	a	a	DET
ejpam-5928	672	6	ameen	ameen	NOUN
ejpam-5928	672	7	,	,	PUNCT
ejpam-5928	672	8	o	o	PROPN
ejpam-5928	672	9	f	f	PROPN
ejpam-5928	672	10	alghamdi	alghamdi	NOUN
ejpam-5928	672	11	,	,	PUNCT
ejpam-5928	672	12	b	b	PROPN
ejpam-5928	672	13	a	a	DET
ejpam-5928	672	14	asaad	asaad	NOUN
ejpam-5928	672	15	,	,	PUNCT
ejpam-5928	672	16	and	and	CCONJ
ejpam-5928	672	17	r	r	X
ejpam-5928	672	18	a	a	DET
ejpam-5928	672	19	mohammed	mohammed	PROPN
ejpam-5928	672	20	.	.	PUNCT
ejpam-5928	673	1	methods	method	NOUN
ejpam-5928	673	2	of	of	ADP
ejpam-5928	673	3	generating	generate	VERB
ejpam-5928	673	4	soft	soft	ADJ
ejpam-5928	673	5	topologies	topology	NOUN
ejpam-5928	673	6	and	and	CCONJ
ejpam-5928	673	7	soft	soft	ADJ
ejpam-5928	673	8	separation	separation	NOUN
ejpam-5928	673	9	axioms	axiom	NOUN
ejpam-5928	673	10	.	.	PUNCT
ejpam-5928	674	1	european	european	ADJ
ejpam-5928	674	2	journal	journal	PROPN
ejpam-5928	674	3	of	of	ADP
ejpam-5928	674	4	pure	pure	ADJ
ejpam-5928	674	5	and	and	CCONJ
ejpam-5928	674	6	applied	applied	ADJ
ejpam-5928	674	7	mathematics	mathematic	NOUN
ejpam-5928	674	8	,	,	PUNCT
ejpam-5928	674	9	17(2):1168–1182	17(2):1168–1182	PROPN
ejpam-5928	674	10	,	,	PUNCT
ejpam-5928	674	11	2024	2024	NUM
ejpam-5928	674	12	.	.	PUNCT
ejpam-5928	675	1	[	[	X
ejpam-5928	675	2	21	21	NUM
ejpam-5928	675	3	]	]	X
ejpam-5928	675	4	z	z	NOUN
ejpam-5928	675	5	a	a	DET
ejpam-5928	675	6	ameen	ameen	NOUN
ejpam-5928	675	7	,	,	PUNCT
ejpam-5928	675	8	m	m	VERB
ejpam-5928	675	9	h	h	NOUN
ejpam-5928	675	10	alqahtani	alqahtani	ADJ
ejpam-5928	675	11	,	,	PUNCT
ejpam-5928	675	12	and	and	CCONJ
ejpam-5928	675	13	o	o	NOUN
ejpam-5928	675	14	f	f	PROPN
ejpam-5928	675	15	alghamdi	alghamdi	NOUN
ejpam-5928	675	16	.	.	PUNCT
ejpam-5928	676	1	lower	low	ADJ
ejpam-5928	676	2	density	density	NOUN
ejpam-5928	676	3	soft	soft	ADJ
ejpam-5928	676	4	operators	operator	NOUN
ejpam-5928	676	5	and	and	CCONJ
ejpam-5928	676	6	density	density	NOUN
ejpam-5928	676	7	soft	soft	ADJ
ejpam-5928	676	8	topologies	topology	NOUN
ejpam-5928	676	9	.	.	PUNCT
ejpam-5928	677	1	heliyon	heliyon	NOUN
ejpam-5928	677	2	,	,	PUNCT
ejpam-5928	677	3	10(15	10(15	NUM
ejpam-5928	677	4	)	)	PUNCT
ejpam-5928	677	5	,	,	PUNCT
ejpam-5928	677	6	2024	2024	NUM
ejpam-5928	677	7	.	.	PUNCT
ejpam-5928	678	1	r.	r.	PROPN
ejpam-5928	678	2	a.	a.	PROPN
ejpam-5928	678	3	mohammed	mohammed	PROPN
ejpam-5928	678	4	/	/	SYM
ejpam-5928	678	5	eur	eur	PROPN
ejpam-5928	678	6	.	.	PUNCT
ejpam-5928	679	1	j.	j.	PROPN
ejpam-5928	679	2	pure	pure	PROPN
ejpam-5928	679	3	appl	appl	PROPN
ejpam-5928	679	4	.	.	PROPN
ejpam-5928	679	5	math	math	PROPN
ejpam-5928	679	6	,	,	PUNCT
ejpam-5928	679	7	18	18	NUM
ejpam-5928	679	8	(	(	PUNCT
ejpam-5928	679	9	2	2	NUM
ejpam-5928	679	10	)	)	PUNCT
ejpam-5928	679	11	(	(	PUNCT
ejpam-5928	679	12	2025	2025	NUM
ejpam-5928	679	13	)	)	PUNCT
ejpam-5928	679	14	,	,	PUNCT
ejpam-5928	679	15	5928	5928	NUM
ejpam-5928	679	16	25	25	NUM
ejpam-5928	679	17	of	of	ADP
ejpam-5928	679	18	26	26	NUM
ejpam-5928	680	1	[	[	X
ejpam-5928	680	2	22	22	NUM
ejpam-5928	680	3	]	]	X
ejpam-5928	680	4	z	z	NOUN
ejpam-5928	680	5	a	a	DET
ejpam-5928	680	6	ameen	ameen	NOUN
ejpam-5928	680	7	and	and	CCONJ
ejpam-5928	680	8	s	s	PROPN
ejpam-5928	680	9	al	al	PROPN
ejpam-5928	680	10	ghour	ghour	PROPN
ejpam-5928	680	11	.	.	PUNCT
ejpam-5928	681	1	minimal	minimal	ADJ
ejpam-5928	681	2	soft	soft	ADJ
ejpam-5928	681	3	topologies	topology	NOUN
ejpam-5928	681	4	.	.	PUNCT
ejpam-5928	682	1	new	new	ADJ
ejpam-5928	682	2	mathematics	mathematic	NOUN
ejpam-5928	682	3	and	and	CCONJ
ejpam-5928	682	4	natural	natural	ADJ
ejpam-5928	682	5	computation	computation	NOUN
ejpam-5928	682	6	,	,	PUNCT
ejpam-5928	682	7	19(01):19–31	19(01):19–31	NUM
ejpam-5928	682	8	,	,	PUNCT
ejpam-5928	682	9	2023	2023	NUM
ejpam-5928	682	10	.	.	PUNCT
ejpam-5928	683	1	[	[	X
ejpam-5928	683	2	23	23	NUM
ejpam-5928	683	3	]	]	X
ejpam-5928	683	4	z	z	X
ejpam-5928	683	5	a	a	DET
ejpam-5928	683	6	ameen	ameen	NOUN
ejpam-5928	683	7	and	and	CCONJ
ejpam-5928	683	8	s	s	PROPN
ejpam-5928	683	9	al	al	PROPN
ejpam-5928	683	10	ghour	ghour	PROPN
ejpam-5928	683	11	.	.	PUNCT
ejpam-5928	684	1	cluster	cluster	NOUN
ejpam-5928	684	2	soft	soft	ADJ
ejpam-5928	684	3	sets	set	NOUN
ejpam-5928	684	4	and	and	CCONJ
ejpam-5928	684	5	cluster	cluster	NOUN
ejpam-5928	684	6	soft	soft	ADJ
ejpam-5928	684	7	topologies	topology	NOUN
ejpam-5928	684	8	.	.	PUNCT
ejpam-5928	685	1	computational	computational	ADJ
ejpam-5928	685	2	and	and	CCONJ
ejpam-5928	685	3	applied	applied	ADJ
ejpam-5928	685	4	mathematics	mathematic	NOUN
ejpam-5928	685	5	,	,	PUNCT
ejpam-5928	685	6	42(8):337	42(8):337	NOUN
ejpam-5928	685	7	,	,	PUNCT
ejpam-5928	685	8	2023	2023	NUM
ejpam-5928	685	9	.	.	PUNCT
ejpam-5928	686	1	[	[	X
ejpam-5928	686	2	24	24	NUM
ejpam-5928	686	3	]	]	X
ejpam-5928	686	4	t	t	NOUN
ejpam-5928	686	5	aydin	aydin	NOUN
ejpam-5928	686	6	and	and	CCONJ
ejpam-5928	686	7	s	s	NOUN
ejpam-5928	686	8	enginoglu	enginoglu	NOUN
ejpam-5928	686	9	.	.	PUNCT
ejpam-5928	687	1	some	some	DET
ejpam-5928	687	2	results	result	NOUN
ejpam-5928	687	3	on	on	ADP
ejpam-5928	687	4	soft	soft	ADJ
ejpam-5928	687	5	topological	topological	ADJ
ejpam-5928	687	6	notions	notion	NOUN
ejpam-5928	687	7	.	.	PUNCT
ejpam-5928	688	1	journal	journal	NOUN
ejpam-5928	688	2	of	of	ADP
ejpam-5928	688	3	new	new	ADJ
ejpam-5928	688	4	results	result	NOUN
ejpam-5928	688	5	in	in	ADP
ejpam-5928	688	6	science	science	NOUN
ejpam-5928	688	7	,	,	PUNCT
ejpam-5928	688	8	10:65–75	10:65–75	NUM
ejpam-5928	688	9	,	,	PUNCT
ejpam-5928	688	10	2021	2021	NUM
ejpam-5928	688	11	.	.	PUNCT
ejpam-5928	689	1	[	[	X
ejpam-5928	689	2	25	25	NUM
ejpam-5928	689	3	]	]	PUNCT
ejpam-5928	689	4	w	w	PROPN
ejpam-5928	689	5	k	k	PROPN
ejpam-5928	689	6	min	min	PROPN
ejpam-5928	689	7	.	.	PROPN
ejpam-5928	689	8	a	a	DET
ejpam-5928	689	9	note	note	NOUN
ejpam-5928	689	10	on	on	ADP
ejpam-5928	689	11	soft	soft	ADJ
ejpam-5928	689	12	topological	topological	ADJ
ejpam-5928	689	13	spaces	space	NOUN
ejpam-5928	689	14	.	.	PUNCT
ejpam-5928	690	1	computers	computer	NOUN
ejpam-5928	690	2	and	and	CCONJ
ejpam-5928	690	3	mathematics	mathematic	NOUN
ejpam-5928	690	4	with	with	ADP
ejpam-5928	690	5	applications	application	NOUN
ejpam-5928	690	6	,	,	PUNCT
ejpam-5928	690	7	62(9):3524–3528	62(9):3524–3528	NUM
ejpam-5928	690	8	,	,	PUNCT
ejpam-5928	690	9	2011	2011	NUM
ejpam-5928	690	10	.	.	PUNCT
ejpam-5928	691	1	[	[	X
ejpam-5928	691	2	26	26	NUM
ejpam-5928	691	3	]	]	SYM
ejpam-5928	691	4	n	n	CCONJ
ejpam-5928	691	5	ç	ç	X
ejpam-5928	691	6	polat	polat	NOUN
ejpam-5928	691	7	,	,	PUNCT
ejpam-5928	691	8	g	g	PROPN
ejpam-5928	691	9	yaylalı	yaylalı	NOUN
ejpam-5928	691	10	,	,	PUNCT
ejpam-5928	691	11	and	and	CCONJ
ejpam-5928	691	12	b	b	X
ejpam-5928	691	13	tanay	tanay	NOUN
ejpam-5928	691	14	.	.	PUNCT
ejpam-5928	692	1	some	some	DET
ejpam-5928	692	2	results	result	NOUN
ejpam-5928	692	3	on	on	ADP
ejpam-5928	692	4	soft	soft	ADJ
ejpam-5928	692	5	element	element	NOUN
ejpam-5928	692	6	and	and	CCONJ
ejpam-5928	692	7	soft	soft	ADJ
ejpam-5928	692	8	topological	topological	ADJ
ejpam-5928	692	9	space	space	NOUN
ejpam-5928	692	10	.	.	PUNCT
ejpam-5928	693	1	mathematical	mathematical	ADJ
ejpam-5928	693	2	methods	method	NOUN
ejpam-5928	693	3	in	in	ADP
ejpam-5928	693	4	the	the	DET
ejpam-5928	693	5	applied	apply	VERB
ejpam-5928	693	6	sciences	science	NOUN
ejpam-5928	693	7	,	,	PUNCT
ejpam-5928	693	8	42(16):5607–5614	42(16):5607–5614	NUM
ejpam-5928	693	9	,	,	PUNCT
ejpam-5928	693	10	2019	2019	NUM
ejpam-5928	693	11	.	.	PUNCT
ejpam-5928	694	1	[	[	X
ejpam-5928	694	2	27	27	NUM
ejpam-5928	694	3	]	]	X
ejpam-5928	694	4	j	j	PROPN
ejpam-5928	694	5	thomas	thomas	PROPN
ejpam-5928	694	6	and	and	CCONJ
ejpam-5928	694	7	s	s	PROPN
ejpam-5928	694	8	j	j	PROPN
ejpam-5928	694	9	john	john	PROPN
ejpam-5928	694	10	.	.	PUNCT
ejpam-5928	695	1	on	on	ADP
ejpam-5928	695	2	soft	soft	ADJ
ejpam-5928	695	3	generalized	generalized	ADJ
ejpam-5928	695	4	topological	topological	ADJ
ejpam-5928	695	5	spaces	space	NOUN
ejpam-5928	695	6	.	.	PUNCT
ejpam-5928	696	1	journal	journal	NOUN
ejpam-5928	696	2	of	of	ADP
ejpam-5928	696	3	new	new	ADJ
ejpam-5928	696	4	results	result	NOUN
ejpam-5928	696	5	in	in	ADP
ejpam-5928	696	6	science	science	NOUN
ejpam-5928	696	7	,	,	PUNCT
ejpam-5928	696	8	4:01–15	4:01–15	NUM
ejpam-5928	696	9	,	,	PUNCT
ejpam-5928	696	10	2014	2014	NUM
ejpam-5928	696	11	.	.	PUNCT
ejpam-5928	697	1	[	[	X
ejpam-5928	697	2	28	28	NUM
ejpam-5928	697	3	]	]	X
ejpam-5928	697	4	m	m	VERB
ejpam-5928	697	5	shabir	shabir	NOUN
ejpam-5928	697	6	and	and	CCONJ
ejpam-5928	697	7	m	m	PROPN
ejpam-5928	697	8	naz	naz	PROPN
ejpam-5928	697	9	.	.	PUNCT
ejpam-5928	698	1	on	on	ADP
ejpam-5928	698	2	bipolar	bipolar	ADJ
ejpam-5928	698	3	soft	soft	ADJ
ejpam-5928	698	4	sets	set	NOUN
ejpam-5928	698	5	.	.	PUNCT
ejpam-5928	699	1	arxiv	arxiv	PROPN
ejpam-5928	699	2	preprint	preprint	PROPN
ejpam-5928	699	3	,	,	PUNCT
ejpam-5928	699	4	page	page	NOUN
ejpam-5928	699	5	https://arxiv.org/abs/1303.1344	https://arxiv.org/abs/1303.1344	NOUN
ejpam-5928	699	6	,	,	PUNCT
ejpam-5928	699	7	2013	2013	NUM
ejpam-5928	699	8	.	.	PUNCT
ejpam-5928	700	1	[	[	X
ejpam-5928	700	2	29	29	NUM
ejpam-5928	700	3	]	]	X
ejpam-5928	700	4	f	f	PROPN
ejpam-5928	700	5	karaaslan	karaaslan	PROPN
ejpam-5928	700	6	and	and	CCONJ
ejpam-5928	700	7	s	s	AUX
ejpam-5928	700	8	karataş.	karataş.	PROPN
ejpam-5928	700	9	a	a	DET
ejpam-5928	700	10	new	new	ADJ
ejpam-5928	700	11	approach	approach	NOUN
ejpam-5928	700	12	to	to	ADP
ejpam-5928	700	13	bipolar	bipolar	ADJ
ejpam-5928	700	14	soft	soft	ADJ
ejpam-5928	700	15	sets	set	NOUN
ejpam-5928	700	16	and	and	CCONJ
ejpam-5928	700	17	its	its	PRON
ejpam-5928	700	18	applications	application	NOUN
ejpam-5928	700	19	.	.	PUNCT
ejpam-5928	701	1	discrete	discrete	ADJ
ejpam-5928	701	2	mathematics	mathematic	NOUN
ejpam-5928	701	3	,	,	PUNCT
ejpam-5928	701	4	algorithms	algorithm	NOUN
ejpam-5928	701	5	and	and	CCONJ
ejpam-5928	701	6	applications	application	NOUN
ejpam-5928	701	7	,	,	PUNCT
ejpam-5928	701	8	7(04):1550054	7(04):1550054	NUM
ejpam-5928	701	9	,	,	PUNCT
ejpam-5928	701	10	2015	2015	NUM
ejpam-5928	701	11	.	.	PUNCT
ejpam-5928	702	1	[	[	X
ejpam-5928	702	2	30	30	NUM
ejpam-5928	702	3	]	]	X
ejpam-5928	702	4	d	d	X
ejpam-5928	702	5	dubois	dubois	PROPN
ejpam-5928	702	6	and	and	CCONJ
ejpam-5928	702	7	h	h	PROPN
ejpam-5928	702	8	prade	prade	NOUN
ejpam-5928	702	9	.	.	PUNCT
ejpam-5928	703	1	an	an	DET
ejpam-5928	703	2	introduction	introduction	NOUN
ejpam-5928	703	3	to	to	ADP
ejpam-5928	703	4	bipolar	bipolar	ADJ
ejpam-5928	703	5	representations	representation	NOUN
ejpam-5928	703	6	of	of	ADP
ejpam-5928	703	7	information	information	NOUN
ejpam-5928	703	8	and	and	CCONJ
ejpam-5928	703	9	preference	preference	NOUN
ejpam-5928	703	10	.	.	PUNCT
ejpam-5928	704	1	international	international	ADJ
ejpam-5928	704	2	journal	journal	NOUN
ejpam-5928	704	3	of	of	ADP
ejpam-5928	704	4	intelligent	intelligent	ADJ
ejpam-5928	704	5	systems	system	NOUN
ejpam-5928	704	6	,	,	PUNCT
ejpam-5928	704	7	23(8):866–877	23(8):866–877	PROPN
ejpam-5928	704	8	,	,	PUNCT
ejpam-5928	704	9	2008	2008	NUM
ejpam-5928	704	10	.	.	PUNCT
ejpam-5928	705	1	[	[	X
ejpam-5928	705	2	31	31	NUM
ejpam-5928	705	3	]	]	PUNCT
ejpam-5928	705	4	t	t	PROPN
ejpam-5928	705	5	mahmood	mahmood	PROPN
ejpam-5928	705	6	.	.	PUNCT
ejpam-5928	706	1	a	a	DET
ejpam-5928	706	2	novel	novel	ADJ
ejpam-5928	706	3	approach	approach	NOUN
ejpam-5928	706	4	towards	towards	ADP
ejpam-5928	706	5	bipolar	bipolar	ADJ
ejpam-5928	706	6	soft	soft	ADJ
ejpam-5928	706	7	sets	set	NOUN
ejpam-5928	706	8	and	and	CCONJ
ejpam-5928	706	9	their	their	PRON
ejpam-5928	706	10	applications	application	NOUN
ejpam-5928	706	11	.	.	PUNCT
ejpam-5928	707	1	journal	journal	NOUN
ejpam-5928	707	2	of	of	ADP
ejpam-5928	707	3	mathematics	mathematic	NOUN
ejpam-5928	707	4	,	,	PUNCT
ejpam-5928	707	5	2020	2020	NUM
ejpam-5928	707	6	:	:	PUNCT
ejpam-5928	708	1	artical	artical	PROPN
ejpam-5928	708	2	i	i	PROPN
ejpam-5928	708	3	d	d	PROPN
ejpam-5928	708	4	4690808	4690808	NUM
ejpam-5928	708	5	,	,	PUNCT
ejpam-5928	708	6	2020	2020	NUM
ejpam-5928	708	7	.	.	PUNCT
ejpam-5928	709	1	[	[	X
ejpam-5928	709	2	32	32	NUM
ejpam-5928	709	3	]	]	PUNCT
ejpam-5928	709	4	taha	taha	PROPN
ejpam-5928	709	5	yasin	yasin	PROPN
ejpam-5928	709	6	öztürk	öztürk	PROPN
ejpam-5928	709	7	.	.	PROPN
ejpam-5928	710	1	on	on	ADP
ejpam-5928	710	2	bipolar	bipolar	ADJ
ejpam-5928	710	3	soft	soft	ADJ
ejpam-5928	710	4	points	point	NOUN
ejpam-5928	710	5	.	.	PUNCT
ejpam-5928	711	1	twms	twms	PROPN
ejpam-5928	711	2	journal	journal	PROPN
ejpam-5928	711	3	of	of	ADP
ejpam-5928	711	4	applied	apply	VERB
ejpam-5928	711	5	and	and	CCONJ
ejpam-5928	711	6	engineering	engineering	NOUN
ejpam-5928	711	7	mathematics	mathematic	NOUN
ejpam-5928	711	8	,	,	PUNCT
ejpam-5928	711	9	2020	2020	NUM
ejpam-5928	711	10	.	.	PUNCT
ejpam-5928	712	1	[	[	X
ejpam-5928	712	2	33	33	NUM
ejpam-5928	712	3	]	]	SYM
ejpam-5928	712	4	b	b	NOUN
ejpam-5928	712	5	a	a	DET
ejpam-5928	712	6	asaad	asaad	NOUN
ejpam-5928	712	7	and	and	CCONJ
ejpam-5928	712	8	s	s	NOUN
ejpam-5928	712	9	y	y	PROPN
ejpam-5928	712	10	musa	musa	PROPN
ejpam-5928	712	11	.	.	PUNCT
ejpam-5928	713	1	a	a	DET
ejpam-5928	713	2	novel	novel	ADJ
ejpam-5928	713	3	class	class	NOUN
ejpam-5928	713	4	of	of	ADP
ejpam-5928	713	5	bipolar	bipolar	ADJ
ejpam-5928	713	6	soft	soft	ADJ
ejpam-5928	713	7	separation	separation	NOUN
ejpam-5928	713	8	axioms	axiom	NOUN
ejpam-5928	713	9	concerning	concern	VERB
ejpam-5928	713	10	crisp	crisp	ADJ
ejpam-5928	713	11	points	point	NOUN
ejpam-5928	713	12	.	.	PUNCT
ejpam-5928	714	1	demonstratio	demonstratio	PROPN
ejpam-5928	714	2	mathematica	mathematica	PROPN
ejpam-5928	714	3	,	,	PUNCT
ejpam-5928	714	4	56(1):20220189	56(1):20220189	PROPN
ejpam-5928	714	5	,	,	PUNCT
ejpam-5928	714	6	2023	2023	NUM
ejpam-5928	714	7	.	.	PUNCT
ejpam-5928	715	1	[	[	X
ejpam-5928	715	2	34	34	NUM
ejpam-5928	715	3	]	]	X
ejpam-5928	715	4	a	a	DET
ejpam-5928	715	5	fadel	fadel	PROPN
ejpam-5928	715	6	and	and	CCONJ
ejpam-5928	715	7	s	s	PROPN
ejpam-5928	715	8	c	c	NOUN
ejpam-5928	715	9	dzul	dzul	PROPN
ejpam-5928	715	10	-	-	PUNCT
ejpam-5928	715	11	kifli	kifli	NOUN
ejpam-5928	715	12	.	.	PUNCT
ejpam-5928	716	1	bipolar	bipolar	ADJ
ejpam-5928	716	2	soft	soft	ADJ
ejpam-5928	716	3	topological	topological	ADJ
ejpam-5928	716	4	spaces	space	NOUN
ejpam-5928	716	5	.	.	PUNCT
ejpam-5928	717	1	european	european	ADJ
ejpam-5928	717	2	journal	journal	PROPN
ejpam-5928	717	3	of	of	ADP
ejpam-5928	717	4	pure	pure	ADJ
ejpam-5928	717	5	and	and	CCONJ
ejpam-5928	717	6	applied	applied	ADJ
ejpam-5928	717	7	mathematics	mathematic	NOUN
ejpam-5928	717	8	,	,	PUNCT
ejpam-5928	717	9	13(2):227–245	13(2):227–245	NUM
ejpam-5928	717	10	,	,	PUNCT
ejpam-5928	717	11	2020	2020	NUM
ejpam-5928	717	12	.	.	PUNCT
ejpam-5928	718	1	[	[	X
ejpam-5928	718	2	35	35	NUM
ejpam-5928	718	3	]	]	PUNCT
ejpam-5928	718	4	a	a	DET
ejpam-5928	718	5	fadel	fadel	PROPN
ejpam-5928	718	6	and	and	CCONJ
ejpam-5928	718	7	s	s	PROPN
ejpam-5928	718	8	c	c	NOUN
ejpam-5928	718	9	dzul	dzul	PROPN
ejpam-5928	718	10	-	-	PUNCT
ejpam-5928	718	11	kifli	kifli	NOUN
ejpam-5928	718	12	.	.	PUNCT
ejpam-5928	719	1	bipolar	bipolar	ADJ
ejpam-5928	719	2	soft	soft	ADJ
ejpam-5928	719	3	functions	function	NOUN
ejpam-5928	719	4	.	.	PUNCT
ejpam-5928	720	1	aims	aim	VERB
ejpam-5928	720	2	mathematics	mathematic	NOUN
ejpam-5928	720	3	,	,	PUNCT
ejpam-5928	720	4	6(5):4428	6(5):4428	NUM
ejpam-5928	720	5	–	–	PUNCT
ejpam-5928	720	6	4446	4446	NUM
ejpam-5928	720	7	,	,	PUNCT
ejpam-5928	720	8	2021	2021	NUM
ejpam-5928	720	9	.	.	PUNCT
ejpam-5928	721	1	[	[	X
ejpam-5928	721	2	36	36	NUM
ejpam-5928	721	3	]	]	X
ejpam-5928	721	4	h	h	NOUN
ejpam-5928	721	5	y	y	PROPN
ejpam-5928	721	6	saleh	saleh	PROPN
ejpam-5928	721	7	,	,	PUNCT
ejpam-5928	721	8	b	b	PROPN
ejpam-5928	721	9	a	a	DET
ejpam-5928	721	10	asaad	asaad	NOUN
ejpam-5928	721	11	,	,	PUNCT
ejpam-5928	721	12	and	and	CCONJ
ejpam-5928	721	13	r	r	X
ejpam-5928	721	14	a	a	DET
ejpam-5928	721	15	mohammed	mohammed	PROPN
ejpam-5928	721	16	.	.	PUNCT
ejpam-5928	722	1	bipolar	bipolar	ADJ
ejpam-5928	722	2	soft	soft	ADJ
ejpam-5928	722	3	generalized	generalized	ADJ
ejpam-5928	722	4	topological	topological	ADJ
ejpam-5928	722	5	structures	structure	NOUN
ejpam-5928	722	6	and	and	CCONJ
ejpam-5928	722	7	their	their	PRON
ejpam-5928	722	8	application	application	NOUN
ejpam-5928	722	9	in	in	ADP
ejpam-5928	722	10	decision	decision	NOUN
ejpam-5928	722	11	making	making	NOUN
ejpam-5928	722	12	.	.	PUNCT
ejpam-5928	723	1	european	european	ADJ
ejpam-5928	723	2	journal	journal	PROPN
ejpam-5928	723	3	of	of	ADP
ejpam-5928	723	4	pure	pure	ADJ
ejpam-5928	723	5	and	and	CCONJ
ejpam-5928	723	6	applied	applied	ADJ
ejpam-5928	723	7	mathematics	mathematic	NOUN
ejpam-5928	723	8	,	,	PUNCT
ejpam-5928	723	9	15(2):646–671	15(2):646–671	PROPN
ejpam-5928	723	10	,	,	PUNCT
ejpam-5928	723	11	2022	2022	NUM
ejpam-5928	723	12	.	.	PUNCT
ejpam-5928	724	1	[	[	X
ejpam-5928	724	2	37	37	NUM
ejpam-5928	724	3	]	]	SYM
ejpam-5928	724	4	h	h	NOUN
ejpam-5928	724	5	y	y	PROPN
ejpam-5928	724	6	saleh	saleh	PROPN
ejpam-5928	724	7	,	,	PUNCT
ejpam-5928	724	8	b	b	PROPN
ejpam-5928	724	9	a	a	DET
ejpam-5928	724	10	asaad	asaad	NOUN
ejpam-5928	724	11	,	,	PUNCT
ejpam-5928	724	12	and	and	CCONJ
ejpam-5928	724	13	r	r	X
ejpam-5928	724	14	a	a	DET
ejpam-5928	724	15	mohammed	mohammed	PROPN
ejpam-5928	724	16	.	.	PUNCT
ejpam-5928	725	1	bipolar	bipolar	ADJ
ejpam-5928	725	2	soft	soft	ADJ
ejpam-5928	725	3	limit	limit	NOUN
ejpam-5928	725	4	points	point	NOUN
ejpam-5928	725	5	in	in	ADP
ejpam-5928	725	6	bipolar	bipolar	ADJ
ejpam-5928	725	7	soft	soft	ADJ
ejpam-5928	725	8	generalized	generalized	ADJ
ejpam-5928	725	9	topological	topological	ADJ
ejpam-5928	725	10	spaces	space	NOUN
ejpam-5928	725	11	.	.	PUNCT
ejpam-5928	726	1	mathematics	mathematic	NOUN
ejpam-5928	726	2	and	and	CCONJ
ejpam-5928	726	3	statistics	statistic	NOUN
ejpam-5928	726	4	,	,	PUNCT
ejpam-5928	726	5	10(6):1264–1274	10(6):1264–1274	NUM
ejpam-5928	726	6	,	,	PUNCT
ejpam-5928	726	7	2022	2022	NUM
ejpam-5928	726	8	.	.	PUNCT
ejpam-5928	727	1	[	[	X
ejpam-5928	727	2	38	38	NUM
ejpam-5928	727	3	]	]	PUNCT
ejpam-5928	727	4	h	h	NOUN
ejpam-5928	727	5	y	y	PROPN
ejpam-5928	727	6	saleh	saleh	PROPN
ejpam-5928	727	7	,	,	PUNCT
ejpam-5928	727	8	b	b	PROPN
ejpam-5928	727	9	a	a	DET
ejpam-5928	727	10	asaad	asaad	NOUN
ejpam-5928	727	11	,	,	PUNCT
ejpam-5928	727	12	and	and	CCONJ
ejpam-5928	727	13	r	r	NOUN
ejpam-5928	727	14	amohammed	amohamme	VERB
ejpam-5928	727	15	.	.	PUNCT
ejpam-5928	728	1	connectedness	connectedness	NOUN
ejpam-5928	728	2	,	,	PUNCT
ejpam-5928	728	3	local	local	ADJ
ejpam-5928	728	4	connectedness	connectedness	NOUN
ejpam-5928	728	5	,	,	PUNCT
ejpam-5928	728	6	and	and	CCONJ
ejpam-5928	728	7	components	component	NOUN
ejpam-5928	728	8	on	on	ADP
ejpam-5928	728	9	bipolar	bipolar	ADJ
ejpam-5928	728	10	soft	soft	ADJ
ejpam-5928	728	11	generalized	generalized	ADJ
ejpam-5928	728	12	topological	topological	ADJ
ejpam-5928	728	13	spaces	space	NOUN
ejpam-5928	728	14	.	.	PUNCT
ejpam-5928	729	1	journal	journal	NOUN
ejpam-5928	729	2	of	of	ADP
ejpam-5928	729	3	mathematics	mathematic	NOUN
ejpam-5928	729	4	and	and	CCONJ
ejpam-5928	729	5	computer	computer	NOUN
ejpam-5928	729	6	science	science	NOUN
ejpam-5928	729	7	,	,	PUNCT
ejpam-5928	729	8	30(4):302–321	30(4):302–321	PROPN
ejpam-5928	729	9	,	,	PUNCT
ejpam-5928	729	10	feb	feb	NOUN
ejpam-5928	729	11	2023	2023	NUM
ejpam-5928	729	12	.	.	PUNCT
ejpam-5928	730	1	[	[	X
ejpam-5928	730	2	39	39	NUM
ejpam-5928	730	3	]	]	PUNCT
ejpam-5928	730	4	h	h	NOUN
ejpam-5928	730	5	y	y	PROPN
ejpam-5928	730	6	saleh	saleh	PROPN
ejpam-5928	730	7	,	,	PUNCT
ejpam-5928	730	8	b	b	PROPN
ejpam-5928	730	9	a	a	DET
ejpam-5928	730	10	asaad	asaad	NOUN
ejpam-5928	730	11	,	,	PUNCT
ejpam-5928	730	12	and	and	CCONJ
ejpam-5928	730	13	r	r	X
ejpam-5928	730	14	a	a	DET
ejpam-5928	730	15	mohammed	mohammed	PROPN
ejpam-5928	730	16	.	.	PUNCT
ejpam-5928	731	1	novel	novel	ADJ
ejpam-5928	731	2	classes	class	NOUN
ejpam-5928	731	3	of	of	ADP
ejpam-5928	731	4	bipolar	bipolar	ADJ
ejpam-5928	731	5	soft	soft	ADJ
ejpam-5928	731	6	generalized	generalized	ADJ
ejpam-5928	731	7	topological	topological	ADJ
ejpam-5928	731	8	structures	structure	NOUN
ejpam-5928	731	9	:	:	PUNCT
ejpam-5928	731	10	compactness	compactness	NOUN
ejpam-5928	731	11	and	and	CCONJ
ejpam-5928	731	12	homeomorphisms	homeomorphisms	PROPN
ejpam-5928	731	13	.	.	PUNCT
ejpam-5928	732	1	fuzzy	fuzzy	ADJ
ejpam-5928	732	2	information	information	NOUN
ejpam-5928	732	3	and	and	CCONJ
ejpam-5928	732	4	engineering	engineering	NOUN
ejpam-5928	732	5	,	,	PUNCT
ejpam-5928	732	6	16(1):49–73	16(1):49–73	NUM
ejpam-5928	732	7	,	,	PUNCT
ejpam-5928	732	8	2024	2024	NUM
ejpam-5928	732	9	.	.	PUNCT
ejpam-5928	733	1	[	[	X
ejpam-5928	733	2	40	40	NUM
ejpam-5928	733	3	]	]	PUNCT
ejpam-5928	733	4	h	h	NOUN
ejpam-5928	733	5	y	y	PROPN
ejpam-5928	733	6	saleh	saleh	PROPN
ejpam-5928	733	7	,	,	PUNCT
ejpam-5928	733	8	a	a	DET
ejpam-5928	733	9	a	a	DET
ejpam-5928	733	10	salih	salih	PROPN
ejpam-5928	733	11	,	,	PUNCT
ejpam-5928	733	12	b	b	PROPN
ejpam-5928	733	13	a	a	DET
ejpam-5928	733	14	asaad	asaad	NOUN
ejpam-5928	733	15	,	,	PUNCT
ejpam-5928	733	16	and	and	CCONJ
ejpam-5928	733	17	r	r	X
ejpam-5928	733	18	a	a	DET
ejpam-5928	733	19	mohammed	mohammed	PROPN
ejpam-5928	733	20	.	.	PUNCT
ejpam-5928	734	1	binary	binary	ADJ
ejpam-5928	734	2	bipolar	bipolar	ADJ
ejpam-5928	734	3	soft	soft	ADJ
ejpam-5928	734	4	points	point	NOUN
ejpam-5928	734	5	and	and	CCONJ
ejpam-5928	734	6	topology	topology	NOUN
ejpam-5928	734	7	on	on	ADP
ejpam-5928	734	8	binary	binary	ADJ
ejpam-5928	734	9	bipolar	bipolar	ADJ
ejpam-5928	734	10	soft	soft	ADJ
ejpam-5928	734	11	sets	set	NOUN
ejpam-5928	734	12	with	with	ADP
ejpam-5928	734	13	their	their	PRON
ejpam-5928	734	14	symmetric	symmetric	ADJ
ejpam-5928	734	15	properties	property	NOUN
ejpam-5928	734	16	.	.	PUNCT
ejpam-5928	735	1	symmetry	symmetry	NOUN
ejpam-5928	735	2	,	,	PUNCT
ejpam-5928	735	3	16(1):23	16(1):23	NUM
ejpam-5928	735	4	,	,	PUNCT
ejpam-5928	735	5	2023	2023	NUM
ejpam-5928	735	6	.	.	PUNCT
ejpam-5928	736	1	[	[	X
ejpam-5928	736	2	41	41	NUM
ejpam-5928	736	3	]	]	X
ejpam-5928	736	4	m	m	VERB
ejpam-5928	736	5	shabir	shabir	NOUN
ejpam-5928	736	6	and	and	CCONJ
ejpam-5928	736	7	a	a	DET
ejpam-5928	736	8	bakhtawar	bakhtawar	NOUN
ejpam-5928	736	9	.	.	PUNCT
ejpam-5928	737	1	bipolar	bipolar	ADJ
ejpam-5928	737	2	soft	soft	ADJ
ejpam-5928	737	3	connected	connect	VERB
ejpam-5928	737	4	,	,	PUNCT
ejpam-5928	737	5	bipolar	bipolar	ADJ
ejpam-5928	737	6	soft	soft	ADJ
ejpam-5928	737	7	disconnected	disconnected	ADJ
ejpam-5928	737	8	and	and	CCONJ
ejpam-5928	737	9	r.	r.	PROPN
ejpam-5928	737	10	a.	a.	PROPN
ejpam-5928	737	11	mohammed	mohammed	PROPN
ejpam-5928	737	12	/	/	SYM
ejpam-5928	737	13	eur	eur	PROPN
ejpam-5928	737	14	.	.	PUNCT
ejpam-5928	738	1	j.	j.	PROPN
ejpam-5928	738	2	pure	pure	PROPN
ejpam-5928	738	3	appl	appl	PROPN
ejpam-5928	738	4	.	.	PROPN
ejpam-5928	738	5	math	math	PROPN
ejpam-5928	738	6	,	,	PUNCT
ejpam-5928	738	7	18	18	NUM
ejpam-5928	738	8	(	(	PUNCT
ejpam-5928	738	9	2	2	NUM
ejpam-5928	738	10	)	)	PUNCT
ejpam-5928	738	11	(	(	PUNCT
ejpam-5928	738	12	2025	2025	NUM
ejpam-5928	738	13	)	)	PUNCT
ejpam-5928	738	14	,	,	PUNCT
ejpam-5928	738	15	5928	5928	NUM
ejpam-5928	738	16	26	26	NUM
ejpam-5928	738	17	of	of	ADP
ejpam-5928	738	18	26	26	NUM
ejpam-5928	738	19	bipolar	bipolar	ADJ
ejpam-5928	738	20	soft	soft	ADJ
ejpam-5928	738	21	compact	compact	ADJ
ejpam-5928	738	22	spaces	space	NOUN
ejpam-5928	738	23	.	.	PUNCT
ejpam-5928	739	1	songklanakarin	songklanakarin	PROPN
ejpam-5928	739	2	journal	journal	PROPN
ejpam-5928	739	3	of	of	ADP
ejpam-5928	739	4	science	science	NOUN
ejpam-5928	739	5	and	and	CCONJ
ejpam-5928	739	6	technology	technology	NOUN
ejpam-5928	739	7	,	,	PUNCT
ejpam-5928	739	8	39(3):359–371	39(3):359–371	PROPN
ejpam-5928	739	9	,	,	PUNCT
ejpam-5928	739	10	2017	2017	NUM
ejpam-5928	739	11	.	.	PUNCT
ejpam-5928	740	1	[	[	X
ejpam-5928	740	2	42	42	NUM
ejpam-5928	740	3	]	]	PUNCT
ejpam-5928	740	4	t	t	PROPN
ejpam-5928	740	5	y	y	PROPN
ejpam-5928	740	6	öztürk	öztürk	PROPN
ejpam-5928	740	7	.	.	PUNCT
ejpam-5928	741	1	on	on	ADP
ejpam-5928	741	2	bipolar	bipolar	ADJ
ejpam-5928	741	3	soft	soft	ADJ
ejpam-5928	741	4	topological	topological	ADJ
ejpam-5928	741	5	spaces	space	NOUN
ejpam-5928	741	6	.	.	PUNCT
ejpam-5928	742	1	journal	journal	NOUN
ejpam-5928	742	2	of	of	ADP
ejpam-5928	742	3	new	new	ADJ
ejpam-5928	742	4	theory	theory	NOUN
ejpam-5928	742	5	,	,	PUNCT
ejpam-5928	742	6	20:64–75	20:64–75	NUM
ejpam-5928	742	7	,	,	PUNCT
ejpam-5928	742	8	2018	2018	NUM
ejpam-5928	742	9	.	.	PUNCT
ejpam-5928	743	1	[	[	X
ejpam-5928	743	2	43	43	NUM
ejpam-5928	743	3	]	]	X
ejpam-5928	743	4	s	s	PROPN
ejpam-5928	743	5	y	y	PROPN
ejpam-5928	743	6	musa	musa	PROPN
ejpam-5928	743	7	and	and	CCONJ
ejpam-5928	743	8	b	b	PROPN
ejpam-5928	743	9	a	a	DET
ejpam-5928	743	10	asaad	asaad	NOUN
ejpam-5928	743	11	.	.	PUNCT
ejpam-5928	744	1	bipolar	bipolar	ADJ
ejpam-5928	744	2	hypersoft	hypersoft	NOUN
ejpam-5928	744	3	sets	set	NOUN
ejpam-5928	744	4	.	.	PUNCT
ejpam-5928	745	1	mathematics	mathematic	NOUN
ejpam-5928	745	2	,	,	PUNCT
ejpam-5928	745	3	9(15):1826	9(15):1826	NUM
ejpam-5928	745	4	,	,	PUNCT
ejpam-5928	745	5	2021	2021	NUM
ejpam-5928	745	6	.	.	PUNCT
ejpam-5928	746	1	[	[	X
ejpam-5928	746	2	44	44	NUM
ejpam-5928	746	3	]	]	SYM
ejpam-5928	746	4	s	s	PROPN
ejpam-5928	746	5	y	y	PROPN
ejpam-5928	746	6	musa	musa	PROPN
ejpam-5928	746	7	and	and	CCONJ
ejpam-5928	746	8	b	b	PROPN
ejpam-5928	746	9	a	a	DET
ejpam-5928	746	10	asaad	asaad	NOUN
ejpam-5928	746	11	.	.	PUNCT
ejpam-5928	747	1	connectedness	connectedness	NOUN
ejpam-5928	747	2	on	on	ADP
ejpam-5928	747	3	bipolar	bipolar	ADJ
ejpam-5928	747	4	hypersoft	hypersoft	ADJ
ejpam-5928	747	5	topological	topological	ADJ
ejpam-5928	747	6	spaces	space	NOUN
ejpam-5928	747	7	.	.	PUNCT
ejpam-5928	748	1	journal	journal	NOUN
ejpam-5928	748	2	of	of	ADP
ejpam-5928	748	3	intelligent	intelligent	ADJ
ejpam-5928	748	4	and	and	CCONJ
ejpam-5928	748	5	fuzzy	fuzzy	ADJ
ejpam-5928	748	6	systems	system	NOUN
ejpam-5928	748	7	,	,	PUNCT
ejpam-5928	748	8	page	page	NOUN
ejpam-5928	748	9	accepted	accept	VERB
ejpam-5928	748	10	,	,	PUNCT
ejpam-5928	748	11	2021	2021	NUM
ejpam-5928	748	12	.	.	PUNCT
ejpam-5928	749	1	[	[	X
ejpam-5928	749	2	45	45	NUM
ejpam-5928	749	3	]	]	SYM
ejpam-5928	749	4	s	s	PROPN
ejpam-5928	749	5	y	y	PROPN
ejpam-5928	749	6	musa	musa	PROPN
ejpam-5928	749	7	and	and	CCONJ
ejpam-5928	749	8	b	b	PROPN
ejpam-5928	749	9	a	a	DET
ejpam-5928	749	10	asaad	asaad	NOUN
ejpam-5928	749	11	.	.	PUNCT
ejpam-5928	750	1	topological	topological	ADJ
ejpam-5928	750	2	structures	structure	NOUN
ejpam-5928	750	3	via	via	ADP
ejpam-5928	750	4	bipolar	bipolar	ADJ
ejpam-5928	750	5	hypersoft	hypersoft	NOUN
ejpam-5928	750	6	sets	set	NOUN
ejpam-5928	750	7	.	.	PUNCT
ejpam-5928	751	1	journal	journal	NOUN
ejpam-5928	751	2	of	of	ADP
ejpam-5928	751	3	mathematics	mathematic	NOUN
ejpam-5928	751	4	,	,	PUNCT
ejpam-5928	751	5	2022	2022	NUM
ejpam-5928	751	6	:	:	PUNCT
ejpam-5928	751	7	article	article	NOUN
ejpam-5928	751	8	i	i	PROPN
ejpam-5928	751	9	d	d	PROPN
ejpam-5928	751	10	2896053	2896053	NUM
ejpam-5928	751	11	,	,	PUNCT
ejpam-5928	751	12	2022	2022	NUM
ejpam-5928	751	13	.	.	PUNCT