id	sid	tid	token	lemma	pos
ejpam-3009	1	1	european	european	PROPN
ejpam-3009	1	2	journal	journal	PROPN
ejpam-3009	1	3	of	of	ADP
ejpam-3009	1	4	pure	pure	ADJ
ejpam-3009	1	5	and	and	CCONJ
ejpam-3009	1	6	applied	apply	VERB
ejpam-3009	1	7	mathematics	mathematic	NOUN
ejpam-3009	1	8	vol	vol	NOUN
ejpam-3009	1	9	.	.	PROPN
ejpam-3009	2	1	10	10	NUM
ejpam-3009	2	2	,	,	PUNCT
ejpam-3009	2	3	no	no	INTJ
ejpam-3009	2	4	.	.	NOUN
ejpam-3009	2	5	4	4	NUM
ejpam-3009	2	6	,	,	PUNCT
ejpam-3009	2	7	2017	2017	NUM
ejpam-3009	2	8	,	,	PUNCT
ejpam-3009	2	9	916	916	NUM
ejpam-3009	2	10	-	-	SYM
ejpam-3009	2	11	928	928	NUM
ejpam-3009	2	12	issn	issn	PROPN
ejpam-3009	2	13	1307	1307	NUM
ejpam-3009	2	14	-	-	SYM
ejpam-3009	2	15	5543	5543	NUM
ejpam-3009	2	16	–	–	PUNCT
ejpam-3009	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3009	2	18	published	publish	VERB
ejpam-3009	2	19	by	by	ADP
ejpam-3009	2	20	new	new	PROPN
ejpam-3009	2	21	york	york	PROPN
ejpam-3009	2	22	business	business	PROPN
ejpam-3009	2	23	global	global	PROPN
ejpam-3009	2	24	on	on	ADP
ejpam-3009	2	25	the	the	DET
ejpam-3009	2	26	lattice	lattice	NOUN
ejpam-3009	2	27	of	of	ADP
ejpam-3009	2	28	convex	convex	ADJ
ejpam-3009	2	29	sublattices	sublattice	NOUN
ejpam-3009	2	30	of	of	ADP
ejpam-3009	2	31	s(bn	s(bn	NOUN
ejpam-3009	2	32	)	)	PUNCT
ejpam-3009	2	33	and	and	CCONJ
ejpam-3009	2	34	s(cn	s(cn	NUM
ejpam-3009	2	35	)	)	PUNCT
ejpam-3009	2	36	g.	g.	PROPN
ejpam-3009	2	37	sheeba	sheeba	PROPN
ejpam-3009	2	38	merlin1,∗	merlin1,∗	PROPN
ejpam-3009	2	39	,	,	PUNCT
ejpam-3009	2	40	a.	a.	NOUN
ejpam-3009	2	41	vethamanickam2	vethamanickam2	NOUN
ejpam-3009	2	42	1	1	NUM
ejpam-3009	2	43	department	department	NOUN
ejpam-3009	2	44	of	of	ADP
ejpam-3009	2	45	mathematics	mathematics	PROPN
ejpam-3009	2	46	,	,	PUNCT
ejpam-3009	2	47	karunya	karunya	PROPN
ejpam-3009	2	48	university	university	PROPN
ejpam-3009	2	49	,	,	PUNCT
ejpam-3009	2	50	coimbatore	coimbatore	PROPN
ejpam-3009	2	51	,	,	PUNCT
ejpam-3009	2	52	india	india	PROPN
ejpam-3009	2	53	2	2	NUM
ejpam-3009	2	54	department	department	NOUN
ejpam-3009	2	55	of	of	ADP
ejpam-3009	2	56	mathematics	mathematic	NOUN
ejpam-3009	2	57	,	,	PUNCT
ejpam-3009	2	58	rani	rani	PROPN
ejpam-3009	2	59	anna	anna	PROPN
ejpam-3009	2	60	college	college	PROPN
ejpam-3009	2	61	for	for	ADP
ejpam-3009	2	62	women	woman	NOUN
ejpam-3009	2	63	,	,	PUNCT
ejpam-3009	2	64	tirunelveli	tirunelveli	PROPN
ejpam-3009	2	65	,	,	PUNCT
ejpam-3009	2	66	india	india	PROPN
ejpam-3009	2	67	abstract	abstract	NOUN
ejpam-3009	2	68	.	.	PUNCT
ejpam-3009	3	1	in	in	ADP
ejpam-3009	3	2	this	this	DET
ejpam-3009	3	3	paper	paper	NOUN
ejpam-3009	3	4	we	we	PRON
ejpam-3009	3	5	prove	prove	VERB
ejpam-3009	3	6	that	that	SCONJ
ejpam-3009	3	7	cs[s(bn	cs[s(bn	NOUN
ejpam-3009	3	8	)	)	PUNCT
ejpam-3009	3	9	]	]	PUNCT
ejpam-3009	3	10	and	and	CCONJ
ejpam-3009	3	11	cs[s(cn	cs[s(cn	NOUN
ejpam-3009	3	12	)	)	PUNCT
ejpam-3009	3	13	]	]	PUNCT
ejpam-3009	3	14	are	be	AUX
ejpam-3009	3	15	eulerian	eulerian	ADJ
ejpam-3009	3	16	lattices	lattice	NOUN
ejpam-3009	3	17	under	under	ADP
ejpam-3009	3	18	the	the	DET
ejpam-3009	3	19	set	set	VERB
ejpam-3009	3	20	inclusion	inclusion	NOUN
ejpam-3009	3	21	relation	relation	NOUN
ejpam-3009	3	22	but	but	CCONJ
ejpam-3009	3	23	they	they	PRON
ejpam-3009	3	24	are	be	AUX
ejpam-3009	3	25	neither	neither	CCONJ
ejpam-3009	3	26	simplicial	simplicial	ADJ
ejpam-3009	3	27	nor	nor	CCONJ
ejpam-3009	3	28	dual	dual	ADJ
ejpam-3009	3	29	simplicial	simplicial	NOUN
ejpam-3009	3	30	.	.	PUNCT
ejpam-3009	4	1	2010	2010	NUM
ejpam-3009	4	2	mathematics	mathematic	NOUN
ejpam-3009	4	3	subject	subject	NOUN
ejpam-3009	4	4	classifications	classification	NOUN
ejpam-3009	4	5	:	:	PUNCT
ejpam-3009	4	6	06a06	06a06	NOUN
ejpam-3009	4	7	,	,	PUNCT
ejpam-3009	4	8	06a07	06a07	NUM
ejpam-3009	4	9	,	,	PUNCT
ejpam-3009	4	10	06b10	06b10	NOUN
ejpam-3009	4	11	key	key	ADJ
ejpam-3009	4	12	words	word	NOUN
ejpam-3009	4	13	and	and	CCONJ
ejpam-3009	4	14	phrases	phrase	NOUN
ejpam-3009	4	15	:	:	PUNCT
ejpam-3009	4	16	lattices	lattice	NOUN
ejpam-3009	4	17	,	,	PUNCT
ejpam-3009	4	18	convex	convex	NOUN
ejpam-3009	4	19	sublattices	sublattice	NOUN
ejpam-3009	4	20	,	,	PUNCT
ejpam-3009	4	21	dual	dual	ADJ
ejpam-3009	4	22	simplicial	simplicial	ADJ
ejpam-3009	4	23	lattices	lattice	NOUN
ejpam-3009	4	24	,	,	PUNCT
ejpam-3009	4	25	eulerian	eulerian	ADJ
ejpam-3009	4	26	lattices	lattice	NOUN
ejpam-3009	4	27	1	1	NUM
ejpam-3009	4	28	.	.	PUNCT
ejpam-3009	4	29	introduction	introduction	NOUN
ejpam-3009	4	30	the	the	DET
ejpam-3009	4	31	study	study	NOUN
ejpam-3009	4	32	of	of	ADP
ejpam-3009	4	33	lattice	lattice	NOUN
ejpam-3009	4	34	of	of	ADP
ejpam-3009	4	35	convex	convex	ADJ
ejpam-3009	4	36	sublattices	sublattice	NOUN
ejpam-3009	4	37	of	of	ADP
ejpam-3009	4	38	a	a	DET
ejpam-3009	4	39	lattice	lattice	NOUN
ejpam-3009	4	40	was	be	AUX
ejpam-3009	4	41	started	start	VERB
ejpam-3009	4	42	by	by	ADP
ejpam-3009	4	43	k.	k.	PROPN
ejpam-3009	4	44	m.	m.	PROPN
ejpam-3009	5	1	koh[3	koh[3	PROPN
ejpam-3009	5	2	]	]	X
ejpam-3009	5	3	,	,	PUNCT
ejpam-3009	5	4	in	in	ADP
ejpam-3009	5	5	the	the	DET
ejpam-3009	5	6	year	year	NOUN
ejpam-3009	5	7	1972	1972	NUM
ejpam-3009	5	8	.	.	PUNCT
ejpam-3009	6	1	he	he	PRON
ejpam-3009	6	2	investigated	investigate	VERB
ejpam-3009	6	3	the	the	DET
ejpam-3009	6	4	internal	internal	ADJ
ejpam-3009	6	5	structure	structure	NOUN
ejpam-3009	6	6	of	of	ADP
ejpam-3009	6	7	a	a	DET
ejpam-3009	6	8	lattice	lattice	NOUN
ejpam-3009	6	9	l	l	NOUN
ejpam-3009	6	10	,	,	PUNCT
ejpam-3009	6	11	in	in	ADP
ejpam-3009	6	12	relation	relation	NOUN
ejpam-3009	6	13	to	to	ADP
ejpam-3009	6	14	cs(l	cs(l	NUM
ejpam-3009	6	15	)	)	PUNCT
ejpam-3009	6	16	,	,	PUNCT
ejpam-3009	6	17	like	like	ADP
ejpam-3009	6	18	so	so	ADV
ejpam-3009	6	19	many	many	ADJ
ejpam-3009	6	20	other	other	ADJ
ejpam-3009	6	21	authors	author	NOUN
ejpam-3009	6	22	for	for	ADP
ejpam-3009	6	23	various	various	ADJ
ejpam-3009	6	24	algebraic	algebraic	ADJ
ejpam-3009	6	25	structures	structure	NOUN
ejpam-3009	6	26	such	such	ADJ
ejpam-3009	6	27	as	as	ADP
ejpam-3009	6	28	groups	group	NOUN
ejpam-3009	6	29	,	,	PUNCT
ejpam-3009	6	30	boolean	boolean	ADJ
ejpam-3009	6	31	algebras	algebra	NOUN
ejpam-3009	6	32	,	,	PUNCT
ejpam-3009	6	33	directed	direct	VERB
ejpam-3009	6	34	graphs	graph	NOUN
ejpam-3009	6	35	and	and	CCONJ
ejpam-3009	6	36	so	so	ADV
ejpam-3009	6	37	on	on	ADV
ejpam-3009	6	38	.	.	PUNCT
ejpam-3009	7	1	in	in	ADP
ejpam-3009	7	2	[	[	X
ejpam-3009	7	3	3	3	NUM
ejpam-3009	7	4	]	]	PUNCT
ejpam-3009	7	5	,	,	PUNCT
ejpam-3009	7	6	several	several	ADJ
ejpam-3009	7	7	basic	basic	ADJ
ejpam-3009	7	8	properties	property	NOUN
ejpam-3009	7	9	of	of	ADP
ejpam-3009	7	10	cs(l	cs(l	NOUN
ejpam-3009	7	11	)	)	PUNCT
ejpam-3009	7	12	have	have	AUX
ejpam-3009	7	13	been	be	AUX
ejpam-3009	7	14	studied	study	VERB
ejpam-3009	7	15	where	where	SCONJ
ejpam-3009	7	16	one	one	NUM
ejpam-3009	7	17	of	of	ADP
ejpam-3009	7	18	the	the	DET
ejpam-3009	7	19	results	result	NOUN
ejpam-3009	7	20	proved	prove	VERB
ejpam-3009	7	21	is	be	AUX
ejpam-3009	7	22	“	"	PUNCT
ejpam-3009	7	23	if	if	SCONJ
ejpam-3009	7	24	l	l	NOUN
ejpam-3009	7	25	is	be	AUX
ejpam-3009	7	26	complemented	complement	VERB
ejpam-3009	7	27	then	then	ADV
ejpam-3009	7	28	cs(l	cs(l	NUM
ejpam-3009	7	29	)	)	PUNCT
ejpam-3009	7	30	is	be	AUX
ejpam-3009	7	31	complemented	complement	VERB
ejpam-3009	7	32	”	"	PUNCT
ejpam-3009	7	33	.	.	PUNCT
ejpam-3009	8	1	also	also	ADV
ejpam-3009	8	2	,	,	PUNCT
ejpam-3009	8	3	the	the	DET
ejpam-3009	8	4	connection	connection	NOUN
ejpam-3009	8	5	of	of	ADP
ejpam-3009	8	6	the	the	DET
ejpam-3009	8	7	structure	structure	NOUN
ejpam-3009	8	8	of	of	ADP
ejpam-3009	8	9	cs(l	cs(l	NOUN
ejpam-3009	8	10	)	)	PUNCT
ejpam-3009	8	11	with	with	ADP
ejpam-3009	8	12	those	those	PRON
ejpam-3009	8	13	of	of	ADP
ejpam-3009	8	14	the	the	DET
ejpam-3009	8	15	ideal	ideal	ADJ
ejpam-3009	8	16	lattice	lattice	PROPN
ejpam-3009	8	17	i(l	i(l	PROPN
ejpam-3009	8	18	)	)	PUNCT
ejpam-3009	8	19	and	and	CCONJ
ejpam-3009	8	20	the	the	DET
ejpam-3009	8	21	dual	dual	ADJ
ejpam-3009	8	22	ideal	ideal	ADJ
ejpam-3009	8	23	lattice	lattice	PROPN
ejpam-3009	8	24	d(l	d(l	ADV
ejpam-3009	8	25	)	)	PUNCT
ejpam-3009	8	26	are	be	AUX
ejpam-3009	8	27	examined	examine	VERB
ejpam-3009	8	28	by	by	ADP
ejpam-3009	8	29	k.	k.	PROPN
ejpam-3009	8	30	m.	m.	PROPN
ejpam-3009	8	31	koh	koh	PROPN
ejpam-3009	8	32	.	.	PUNCT
ejpam-3009	9	1	he	he	PRON
ejpam-3009	9	2	also	also	ADV
ejpam-3009	9	3	derived	derive	VERB
ejpam-3009	9	4	the	the	DET
ejpam-3009	9	5	best	well	ADV
ejpam-3009	9	6	lower	lower	ADV
ejpam-3009	9	7	bound	bind	VERB
ejpam-3009	9	8	and	and	CCONJ
ejpam-3009	9	9	upper	upper	ADJ
ejpam-3009	9	10	bound	bind	VERB
ejpam-3009	9	11	for	for	ADP
ejpam-3009	9	12	the	the	DET
ejpam-3009	9	13	cardinality	cardinality	NOUN
ejpam-3009	9	14	of	of	ADP
ejpam-3009	9	15	cs(l	cs(l	NOUN
ejpam-3009	9	16	)	)	PUNCT
ejpam-3009	9	17	,	,	PUNCT
ejpam-3009	9	18	where	where	SCONJ
ejpam-3009	9	19	l	l	NOUN
ejpam-3009	9	20	is	be	AUX
ejpam-3009	9	21	finite	finite	ADJ
ejpam-3009	9	22	.	.	PUNCT
ejpam-3009	10	1	in	in	ADP
ejpam-3009	10	2	a	a	DET
ejpam-3009	10	3	subsequent	subsequent	ADJ
ejpam-3009	10	4	paper[1	paper[1	NOUN
ejpam-3009	10	5	]	]	X
ejpam-3009	10	6	,	,	PUNCT
ejpam-3009	10	7	chen	chen	PROPN
ejpam-3009	10	8	c.	c.	PROPN
ejpam-3009	10	9	k.	k.	PROPN
ejpam-3009	10	10	,	,	PUNCT
ejpam-3009	10	11	koh	koh	PROPN
ejpam-3009	10	12	k.	k.	PROPN
ejpam-3009	10	13	m.	m.	PROPN
ejpam-3009	10	14	,	,	PUNCT
ejpam-3009	10	15	proved	prove	VERB
ejpam-3009	10	16	that	that	SCONJ
ejpam-3009	10	17	cs(l×k	cs(l×k	NOUN
ejpam-3009	10	18	)	)	PUNCT
ejpam-3009	10	19	∼=	∼=	PROPN
ejpam-3009	11	1	[	[	X
ejpam-3009	11	2	(	(	PUNCT
ejpam-3009	11	3	cs(l)−	cs(l)−	PROPN
ejpam-3009	11	4	{	{	PUNCT
ejpam-3009	11	5	∅})×	∅})×	PROPN
ejpam-3009	11	6	(	(	PUNCT
ejpam-3009	11	7	cs(k)−	cs(k)−	PROPN
ejpam-3009	11	8	{	{	PUNCT
ejpam-3009	11	9	∅	∅	NOUN
ejpam-3009	11	10	}	}	PUNCT
ejpam-3009	11	11	)	)	PUNCT
ejpam-3009	11	12	]	]	PUNCT
ejpam-3009	11	13	∪	∪	ADP
ejpam-3009	11	14	{	{	PUNCT
ejpam-3009	11	15	∅	∅	NOUN
ejpam-3009	11	16	}	}	PUNCT
ejpam-3009	11	17	.	.	PUNCT
ejpam-3009	12	1	finally	finally	ADV
ejpam-3009	12	2	they	they	PRON
ejpam-3009	12	3	proved	prove	VERB
ejpam-3009	12	4	that	that	SCONJ
ejpam-3009	12	5	when	when	SCONJ
ejpam-3009	12	6	l	l	NOUN
ejpam-3009	12	7	is	be	AUX
ejpam-3009	12	8	a	a	DET
ejpam-3009	12	9	finite	finite	ADJ
ejpam-3009	12	10	lattice	lattice	NOUN
ejpam-3009	12	11	and	and	CCONJ
ejpam-3009	12	12	cs(l	cs(l	NUM
ejpam-3009	12	13	)	)	PUNCT
ejpam-3009	12	14	∼=	∼=	PROPN
ejpam-3009	12	15	cs(m	cs(m	PUNCT
ejpam-3009	12	16	)	)	PUNCT
ejpam-3009	12	17	and	and	CCONJ
ejpam-3009	12	18	if	if	SCONJ
ejpam-3009	12	19	l	l	NOUN
ejpam-3009	12	20	is	be	AUX
ejpam-3009	12	21	relatively	relatively	ADV
ejpam-3009	12	22	complemented(complemented	complemented(complemente	VERB
ejpam-3009	12	23	)	)	PUNCT
ejpam-3009	12	24	then	then	ADV
ejpam-3009	12	25	m	m	VERB
ejpam-3009	12	26	is	be	AUX
ejpam-3009	12	27	relatively	relatively	ADV
ejpam-3009	12	28	complemented(complemented	complemented(complemente	VERB
ejpam-3009	12	29	)	)	PUNCT
ejpam-3009	12	30	.	.	PUNCT
ejpam-3009	13	1	this	this	PRON
ejpam-3009	13	2	is	be	AUX
ejpam-3009	13	3	true	true	ADJ
ejpam-3009	13	4	for	for	ADP
ejpam-3009	13	5	eulerian	eulerian	ADJ
ejpam-3009	13	6	lattices	lattice	NOUN
ejpam-3009	13	7	,	,	PUNCT
ejpam-3009	13	8	since	since	SCONJ
ejpam-3009	13	9	an	an	DET
ejpam-3009	13	10	eulerian	eulerian	ADJ
ejpam-3009	13	11	lattice	lattice	NOUN
ejpam-3009	13	12	is	be	AUX
ejpam-3009	13	13	relatively	relatively	ADV
ejpam-3009	13	14	complemented	complemented	ADJ
ejpam-3009	13	15	.	.	PUNCT
ejpam-3009	14	1	these	these	DET
ejpam-3009	14	2	results	result	NOUN
ejpam-3009	14	3	gave	give	VERB
ejpam-3009	14	4	motivation	motivation	NOUN
ejpam-3009	14	5	for	for	SCONJ
ejpam-3009	14	6	us	we	PRON
ejpam-3009	14	7	to	to	PART
ejpam-3009	14	8	look	look	VERB
ejpam-3009	14	9	into	into	ADP
ejpam-3009	14	10	the	the	DET
ejpam-3009	14	11	connection	connection	NOUN
ejpam-3009	14	12	between	between	ADP
ejpam-3009	14	13	l	l	PROPN
ejpam-3009	14	14	and	and	CCONJ
ejpam-3009	14	15	cs(l	cs(l	NUM
ejpam-3009	14	16	)	)	PUNCT
ejpam-3009	14	17	for	for	ADP
ejpam-3009	14	18	eulerian	eulerian	ADJ
ejpam-3009	14	19	lattices	lattice	NOUN
ejpam-3009	14	20	which	which	PRON
ejpam-3009	14	21	are	be	AUX
ejpam-3009	14	22	a	a	DET
ejpam-3009	14	23	class	class	NOUN
ejpam-3009	14	24	of	of	ADP
ejpam-3009	14	25	lattices	lattice	NOUN
ejpam-3009	14	26	not	not	PART
ejpam-3009	14	27	defined	define	VERB
ejpam-3009	14	28	by	by	ADP
ejpam-3009	14	29	identities	identity	NOUN
ejpam-3009	14	30	.	.	PUNCT
ejpam-3009	15	1	a	a	DET
ejpam-3009	15	2	construction	construction	NOUN
ejpam-3009	15	3	of	of	ADP
ejpam-3009	15	4	a	a	DET
ejpam-3009	15	5	new	new	ADJ
ejpam-3009	15	6	eulerian	eulerian	ADJ
ejpam-3009	15	7	lattice	lattice	NOUN
ejpam-3009	15	8	s(bn	s(bn	NOUN
ejpam-3009	15	9	)	)	PUNCT
ejpam-3009	15	10	from	from	ADP
ejpam-3009	15	11	a	a	DET
ejpam-3009	15	12	boolean	boolean	ADJ
ejpam-3009	15	13	algebra	algebra	NOUN
ejpam-3009	15	14	bn	bn	ADP
ejpam-3009	15	15	of	of	ADP
ejpam-3009	15	16	rank	rank	NOUN
ejpam-3009	15	17	n	n	X
ejpam-3009	15	18	is	be	AUX
ejpam-3009	15	19	found	find	VERB
ejpam-3009	15	20	in	in	ADP
ejpam-3009	15	21	the	the	DET
ejpam-3009	15	22	thesis	thesis	NOUN
ejpam-3009	15	23	∗corresponding	∗corresponde	VERB
ejpam-3009	15	24	author	author	NOUN
ejpam-3009	15	25	.	.	PUNCT
ejpam-3009	16	1	email	email	NOUN
ejpam-3009	16	2	addresses	address	NOUN
ejpam-3009	16	3	:	:	PUNCT
ejpam-3009	16	4	sheebamerlin@karunya.edu	sheebamerlin@karunya.edu	PROPN
ejpam-3009	16	5	(	(	PUNCT
ejpam-3009	16	6	g.	g.	PROPN
ejpam-3009	16	7	sheeba	sheeba	PROPN
ejpam-3009	16	8	merlin	merlin	PROPN
ejpam-3009	16	9	)	)	PUNCT
ejpam-3009	16	10	,	,	PUNCT
ejpam-3009	16	11	dr	dr	PROPN
ejpam-3009	16	12	vethamanickam@yahoo.co.in	vethamanickam@yahoo.co.in	PROPN
ejpam-3009	16	13	(	(	PUNCT
ejpam-3009	16	14	a.	a.	NOUN
ejpam-3009	16	15	vethamanickam	vethamanickam	NOUN
ejpam-3009	16	16	)	)	PUNCT
ejpam-3009	16	17	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3009	17	1	916	916	NUM
ejpam-3009	17	2	c	c	X
ejpam-3009	17	3	©	©	PROPN
ejpam-3009	17	4	2017	2017	NUM
ejpam-3009	17	5	ejpam	ejpam	VERB
ejpam-3009	17	6	all	all	DET
ejpam-3009	17	7	rights	right	NOUN
ejpam-3009	17	8	reserved	reserve	VERB
ejpam-3009	17	9	.	.	PUNCT
ejpam-3009	18	1	g.	g.	PROPN
ejpam-3009	18	2	sheeba	sheeba	PROPN
ejpam-3009	18	3	merlin	merlin	PROPN
ejpam-3009	18	4	,	,	PUNCT
ejpam-3009	18	5	a.	a.	NOUN
ejpam-3009	18	6	vethamanickam	vethamanickam	PROPN
ejpam-3009	18	7	/	/	SYM
ejpam-3009	18	8	eur	eur	PROPN
ejpam-3009	18	9	.	.	PUNCT
ejpam-3009	19	1	j.	j.	PROPN
ejpam-3009	19	2	pure	pure	PROPN
ejpam-3009	19	3	appl	appl	PROPN
ejpam-3009	19	4	.	.	PROPN
ejpam-3009	19	5	math	math	PROPN
ejpam-3009	19	6	,	,	PUNCT
ejpam-3009	19	7	10	10	NUM
ejpam-3009	19	8	(	(	PUNCT
ejpam-3009	19	9	4	4	NUM
ejpam-3009	19	10	)	)	PUNCT
ejpam-3009	19	11	(	(	PUNCT
ejpam-3009	19	12	2017	2017	NUM
ejpam-3009	19	13	)	)	PUNCT
ejpam-3009	19	14	,	,	PUNCT
ejpam-3009	19	15	916	916	NUM
ejpam-3009	19	16	-	-	SYM
ejpam-3009	19	17	928	928	NUM
ejpam-3009	19	18	917	917	NUM
ejpam-3009	19	19	of	of	ADP
ejpam-3009	19	20	v.	v.	PROPN
ejpam-3009	19	21	k.	k.	PROPN
ejpam-3009	19	22	santhi	santhi	PROPN
ejpam-3009	19	23	in	in	ADP
ejpam-3009	19	24	1992[11	1992[11	NUM
ejpam-3009	19	25	]	]	PUNCT
ejpam-3009	19	26	.	.	PUNCT
ejpam-3009	20	1	in	in	ADP
ejpam-3009	20	2	2012	2012	NUM
ejpam-3009	20	3	,	,	PUNCT
ejpam-3009	20	4	subbarayan	subbarayan	PROPN
ejpam-3009	20	5	had	have	AUX
ejpam-3009	20	6	proved	prove	VERB
ejpam-3009	20	7	in	in	ADP
ejpam-3009	20	8	his	his	PRON
ejpam-3009	20	9	paper	paper	NOUN
ejpam-3009	20	10	that	that	SCONJ
ejpam-3009	20	11	the	the	DET
ejpam-3009	20	12	lattice	lattice	NOUN
ejpam-3009	20	13	of	of	ADP
ejpam-3009	20	14	convex	convex	ADJ
ejpam-3009	20	15	sublattices	sublattice	NOUN
ejpam-3009	20	16	of	of	ADP
ejpam-3009	20	17	a	a	DET
ejpam-3009	20	18	boolean	boolean	ADJ
ejpam-3009	20	19	algebra	algebra	NOUN
ejpam-3009	20	20	bn	bn	NOUN
ejpam-3009	20	21	,	,	PUNCT
ejpam-3009	20	22	of	of	ADP
ejpam-3009	20	23	rank	rank	PROPN
ejpam-3009	20	24	n	n	CCONJ
ejpam-3009	20	25	,	,	PUNCT
ejpam-3009	20	26	cs(bn	cs(bn	PROPN
ejpam-3009	20	27	)	)	PUNCT
ejpam-3009	20	28	with	with	ADP
ejpam-3009	20	29	respect	respect	NOUN
ejpam-3009	20	30	to	to	ADP
ejpam-3009	20	31	the	the	DET
ejpam-3009	20	32	set	set	VERB
ejpam-3009	20	33	inclusion	inclusion	NOUN
ejpam-3009	20	34	relation	relation	NOUN
ejpam-3009	20	35	is	be	AUX
ejpam-3009	20	36	a	a	DET
ejpam-3009	20	37	dual	dual	ADJ
ejpam-3009	20	38	simplicial	simplicial	ADJ
ejpam-3009	20	39	eulerian	eulerian	ADJ
ejpam-3009	20	40	lattice	lattice	NOUN
ejpam-3009	20	41	.	.	PUNCT
ejpam-3009	21	1	in	in	ADP
ejpam-3009	21	2	this	this	DET
ejpam-3009	21	3	paper	paper	NOUN
ejpam-3009	21	4	,	,	PUNCT
ejpam-3009	21	5	we	we	PRON
ejpam-3009	21	6	are	be	AUX
ejpam-3009	21	7	going	go	VERB
ejpam-3009	21	8	to	to	PART
ejpam-3009	21	9	look	look	VERB
ejpam-3009	21	10	at	at	ADP
ejpam-3009	21	11	the	the	DET
ejpam-3009	21	12	similar	similar	ADJ
ejpam-3009	21	13	structure	structure	NOUN
ejpam-3009	21	14	of	of	ADP
ejpam-3009	21	15	cs(s(bn	cs(s(bn	PROPN
ejpam-3009	21	16	)	)	PUNCT
ejpam-3009	21	17	)	)	PUNCT
ejpam-3009	21	18	.	.	PUNCT
ejpam-3009	22	1	s(b4	s(b4	PROPN
ejpam-3009	22	2	)	)	PUNCT
ejpam-3009	22	3	is	be	AUX
ejpam-3009	22	4	shown	show	VERB
ejpam-3009	22	5	in	in	ADP
ejpam-3009	22	6	the	the	DET
ejpam-3009	22	7	following	follow	VERB
ejpam-3009	22	8	diagram	diagram	NOUN
ejpam-3009	22	9	.	.	PUNCT
ejpam-3009	23	1	figure	figure	NOUN
ejpam-3009	23	2	1	1	NUM
ejpam-3009	23	3	:	:	PUNCT
ejpam-3009	23	4	s(b2	s(b2	NOUN
ejpam-3009	23	5	)	)	PUNCT
ejpam-3009	23	6	figure	figure	NOUN
ejpam-3009	23	7	2	2	NUM
ejpam-3009	23	8	:	:	PUNCT
ejpam-3009	23	9	s(b4	s(b4	NOUN
ejpam-3009	23	10	)	)	PUNCT
ejpam-3009	24	1	2	2	NUM
ejpam-3009	24	2	.	.	PUNCT
ejpam-3009	24	3	preliminaries	preliminary	NOUN
ejpam-3009	24	4	throughout	throughout	ADP
ejpam-3009	24	5	this	this	DET
ejpam-3009	24	6	section	section	NOUN
ejpam-3009	24	7	cs(l	cs(l	NOUN
ejpam-3009	24	8	)	)	PUNCT
ejpam-3009	24	9	is	be	AUX
ejpam-3009	24	10	equipped	equip	VERB
ejpam-3009	24	11	with	with	ADP
ejpam-3009	24	12	the	the	DET
ejpam-3009	24	13	partial	partial	ADJ
ejpam-3009	24	14	order	order	NOUN
ejpam-3009	24	15	of	of	ADP
ejpam-3009	24	16	set	set	VERB
ejpam-3009	24	17	inclusion	inclusion	NOUN
ejpam-3009	24	18	relation	relation	NOUN
ejpam-3009	24	19	.	.	PUNCT
ejpam-3009	25	1	g.	g.	PROPN
ejpam-3009	25	2	sheeba	sheeba	PROPN
ejpam-3009	25	3	merlin	merlin	PROPN
ejpam-3009	25	4	,	,	PUNCT
ejpam-3009	25	5	a.	a.	NOUN
ejpam-3009	25	6	vethamanickam	vethamanickam	PROPN
ejpam-3009	25	7	/	/	SYM
ejpam-3009	25	8	eur	eur	PROPN
ejpam-3009	25	9	.	.	PUNCT
ejpam-3009	26	1	j.	j.	PROPN
ejpam-3009	26	2	pure	pure	PROPN
ejpam-3009	26	3	appl	appl	PROPN
ejpam-3009	26	4	.	.	PROPN
ejpam-3009	26	5	math	math	PROPN
ejpam-3009	26	6	,	,	PUNCT
ejpam-3009	26	7	10	10	NUM
ejpam-3009	26	8	(	(	PUNCT
ejpam-3009	26	9	4	4	NUM
ejpam-3009	26	10	)	)	PUNCT
ejpam-3009	26	11	(	(	PUNCT
ejpam-3009	26	12	2017	2017	NUM
ejpam-3009	26	13	)	)	PUNCT
ejpam-3009	26	14	,	,	PUNCT
ejpam-3009	26	15	916	916	NUM
ejpam-3009	26	16	-	-	SYM
ejpam-3009	26	17	928	928	NUM
ejpam-3009	26	18	918	918	NUM
ejpam-3009	26	19	definition	definition	NOUN
ejpam-3009	26	20	2.1	2.1	NUM
ejpam-3009	26	21	.	.	PUNCT
ejpam-3009	27	1	a	a	DET
ejpam-3009	27	2	finite	finite	NOUN
ejpam-3009	27	3	graded	grade	VERB
ejpam-3009	27	4	poset	poset	NOUN
ejpam-3009	27	5	p	p	NOUN
ejpam-3009	27	6	is	be	AUX
ejpam-3009	27	7	said	say	VERB
ejpam-3009	27	8	to	to	PART
ejpam-3009	27	9	be	be	AUX
ejpam-3009	27	10	eulerian	eulerian	ADJ
ejpam-3009	27	11	if	if	SCONJ
ejpam-3009	27	12	its	its	PRON
ejpam-3009	27	13	möbius	möbius	PROPN
ejpam-3009	27	14	function	function	NOUN
ejpam-3009	27	15	assumes	assume	VERB
ejpam-3009	27	16	the	the	DET
ejpam-3009	27	17	value	value	NOUN
ejpam-3009	27	18	µ(x	µ(x	VERB
ejpam-3009	27	19	,	,	PUNCT
ejpam-3009	27	20	y	y	NOUN
ejpam-3009	27	21	)	)	PUNCT
ejpam-3009	27	22	=	=	SYM
ejpam-3009	27	23	(	(	PUNCT
ejpam-3009	27	24	−1)l(x	−1)l(x	PROPN
ejpam-3009	27	25	,	,	PUNCT
ejpam-3009	27	26	y	y	PROPN
ejpam-3009	27	27	)	)	PUNCT
ejpam-3009	27	28	for	for	ADP
ejpam-3009	27	29	all	all	PRON
ejpam-3009	27	30	x	x	SYM
ejpam-3009	27	31	≤	≤	ADJ
ejpam-3009	27	32	y	y	NOUN
ejpam-3009	27	33	in	in	ADP
ejpam-3009	27	34	p	p	X
ejpam-3009	27	35	,	,	PUNCT
ejpam-3009	27	36	where	where	SCONJ
ejpam-3009	27	37	l(x	l(x	PROPN
ejpam-3009	27	38	,	,	PUNCT
ejpam-3009	27	39	y	y	NOUN
ejpam-3009	27	40	)	)	PUNCT
ejpam-3009	27	41	=	=	NOUN
ejpam-3009	28	1	ρ(y)−	ρ(y)−	PROPN
ejpam-3009	28	2	ρ(x	ρ(x	NOUN
ejpam-3009	28	3	)	)	PUNCT
ejpam-3009	28	4	and	and	CCONJ
ejpam-3009	28	5	ρ	ρ	PROPN
ejpam-3009	28	6	is	be	AUX
ejpam-3009	28	7	the	the	DET
ejpam-3009	28	8	rank	rank	NOUN
ejpam-3009	28	9	function	function	NOUN
ejpam-3009	28	10	on	on	ADP
ejpam-3009	28	11	p	p	PROPN
ejpam-3009	28	12	.	.	PUNCT
ejpam-3009	29	1	an	an	DET
ejpam-3009	29	2	equivalent	equivalent	ADJ
ejpam-3009	29	3	definition	definition	NOUN
ejpam-3009	29	4	for	for	ADP
ejpam-3009	29	5	an	an	DET
ejpam-3009	29	6	eulerian	eulerian	ADJ
ejpam-3009	29	7	poset	poset	NOUN
ejpam-3009	29	8	is	be	AUX
ejpam-3009	29	9	as	as	SCONJ
ejpam-3009	29	10	follows	follow	VERB
ejpam-3009	29	11	:	:	PUNCT
ejpam-3009	29	12	lemma	lemma	PROPN
ejpam-3009	29	13	2.2	2.2	NUM
ejpam-3009	29	14	.	.	PUNCT
ejpam-3009	30	1	[	[	X
ejpam-3009	30	2	5	5	NUM
ejpam-3009	30	3	]	]	PUNCT
ejpam-3009	30	4	a	a	DET
ejpam-3009	30	5	finite	finite	NOUN
ejpam-3009	30	6	graded	grade	VERB
ejpam-3009	30	7	poset	poset	NOUN
ejpam-3009	30	8	p	p	NOUN
ejpam-3009	30	9	is	be	AUX
ejpam-3009	30	10	eulerian	eulerian	ADJ
ejpam-3009	30	11	if	if	SCONJ
ejpam-3009	30	12	and	and	CCONJ
ejpam-3009	30	13	only	only	ADV
ejpam-3009	30	14	if	if	SCONJ
ejpam-3009	30	15	all	all	DET
ejpam-3009	30	16	intervals	interval	NOUN
ejpam-3009	30	17	[	[	X
ejpam-3009	30	18	x	x	X
ejpam-3009	30	19	,	,	PUNCT
ejpam-3009	30	20	y	y	PROPN
ejpam-3009	30	21	]	]	PUNCT
ejpam-3009	30	22	of	of	ADP
ejpam-3009	30	23	length	length	NOUN
ejpam-3009	30	24	l	l	PROPN
ejpam-3009	30	25	≥	≥	NUM
ejpam-3009	30	26	1	1	NUM
ejpam-3009	30	27	in	in	ADP
ejpam-3009	30	28	p	p	NOUN
ejpam-3009	30	29	contain	contain	VERB
ejpam-3009	30	30	an	an	DET
ejpam-3009	30	31	equal	equal	ADJ
ejpam-3009	30	32	number	number	NOUN
ejpam-3009	30	33	of	of	ADP
ejpam-3009	30	34	elements	element	NOUN
ejpam-3009	30	35	of	of	ADP
ejpam-3009	30	36	odd	odd	ADJ
ejpam-3009	30	37	and	and	CCONJ
ejpam-3009	30	38	even	even	ADV
ejpam-3009	30	39	rank	rank	PROPN
ejpam-3009	30	40	.	.	PUNCT
ejpam-3009	31	1	example	example	NOUN
ejpam-3009	31	2	2.3	2.3	NUM
ejpam-3009	31	3	.	.	PUNCT
ejpam-3009	32	1	every	every	DET
ejpam-3009	32	2	boolean	boolean	ADJ
ejpam-3009	32	3	algebra	algebra	NOUN
ejpam-3009	32	4	of	of	ADP
ejpam-3009	32	5	rank	rank	NOUN
ejpam-3009	32	6	n	n	X
ejpam-3009	32	7	is	be	AUX
ejpam-3009	32	8	eulerian	eulerian	ADJ
ejpam-3009	32	9	and	and	CCONJ
ejpam-3009	32	10	the	the	DET
ejpam-3009	32	11	lattice	lattice	PROPN
ejpam-3009	32	12	c4	c4	NOUN
ejpam-3009	32	13	of	of	ADP
ejpam-3009	32	14	figure	figure	NOUN
ejpam-3009	32	15	2	2	NUM
ejpam-3009	32	16	is	be	AUX
ejpam-3009	32	17	an	an	DET
ejpam-3009	32	18	example	example	NOUN
ejpam-3009	32	19	for	for	ADP
ejpam-3009	32	20	a	a	DET
ejpam-3009	32	21	non	non	ADJ
ejpam-3009	32	22	-	-	ADJ
ejpam-3009	32	23	modular	modular	ADJ
ejpam-3009	32	24	eulerian	eulerian	ADJ
ejpam-3009	32	25	lattice	lattice	NOUN
ejpam-3009	32	26	.	.	PUNCT
ejpam-3009	33	1	also	also	ADV
ejpam-3009	33	2	,	,	PUNCT
ejpam-3009	33	3	every	every	DET
ejpam-3009	33	4	cn	cn	PROPN
ejpam-3009	33	5	is	be	AUX
ejpam-3009	33	6	eulerian	eulerian	ADJ
ejpam-3009	33	7	for	for	ADP
ejpam-3009	33	8	n	n	X
ejpam-3009	33	9	≥	≥	NUM
ejpam-3009	33	10	4	4	NUM
ejpam-3009	33	11	.	.	PUNCT
ejpam-3009	33	12	figure	figure	VERB
ejpam-3009	33	13	3	3	NUM
ejpam-3009	33	14	:	:	PUNCT
ejpam-3009	33	15	non	non	ADJ
ejpam-3009	33	16	-	-	ADJ
ejpam-3009	33	17	modular	modular	ADJ
ejpam-3009	33	18	eulerian	eulerian	ADJ
ejpam-3009	33	19	lattice	lattice	NOUN
ejpam-3009	33	20	lemma	lemma	PROPN
ejpam-3009	33	21	2.4	2.4	NUM
ejpam-3009	33	22	.	.	PUNCT
ejpam-3009	34	1	[	[	X
ejpam-3009	34	2	12	12	NUM
ejpam-3009	34	3	]	]	PUNCT
ejpam-3009	34	4	if	if	SCONJ
ejpam-3009	34	5	l1	l1	PROPN
ejpam-3009	34	6	and	and	CCONJ
ejpam-3009	34	7	l2	l2	NOUN
ejpam-3009	34	8	are	be	AUX
ejpam-3009	34	9	two	two	NUM
ejpam-3009	34	10	eulerian	eulerian	ADJ
ejpam-3009	34	11	lattices	lattice	NOUN
ejpam-3009	34	12	then	then	ADV
ejpam-3009	34	13	l1	l1	PROPN
ejpam-3009	34	14	×	×	PROPN
ejpam-3009	34	15	l2	l2	NOUN
ejpam-3009	34	16	is	be	AUX
ejpam-3009	34	17	also	also	ADV
ejpam-3009	34	18	eulerian	eulerian	ADJ
ejpam-3009	34	19	.	.	PUNCT
ejpam-3009	35	1	we	we	PRON
ejpam-3009	35	2	note	note	VERB
ejpam-3009	35	3	that	that	SCONJ
ejpam-3009	35	4	any	any	DET
ejpam-3009	35	5	interval	interval	NOUN
ejpam-3009	35	6	of	of	ADP
ejpam-3009	35	7	an	an	DET
ejpam-3009	35	8	eulerian	eulerian	ADJ
ejpam-3009	35	9	lattice	lattice	NOUN
ejpam-3009	35	10	is	be	AUX
ejpam-3009	35	11	eulerian	eulerian	ADJ
ejpam-3009	35	12	and	and	CCONJ
ejpam-3009	35	13	an	an	DET
ejpam-3009	35	14	eulerian	eulerian	ADJ
ejpam-3009	35	15	lattice	lattice	NOUN
ejpam-3009	35	16	can	can	AUX
ejpam-3009	35	17	not	not	PART
ejpam-3009	35	18	contain	contain	VERB
ejpam-3009	35	19	a	a	DET
ejpam-3009	35	20	three	three	NUM
ejpam-3009	35	21	element	element	NOUN
ejpam-3009	35	22	chain	chain	NOUN
ejpam-3009	35	23	as	as	ADP
ejpam-3009	35	24	an	an	DET
ejpam-3009	35	25	interval	interval	NOUN
ejpam-3009	35	26	.	.	PUNCT
ejpam-3009	36	1	definition	definition	NOUN
ejpam-3009	36	2	2.5	2.5	NUM
ejpam-3009	36	3	.	.	PUNCT
ejpam-3009	37	1	a	a	DET
ejpam-3009	37	2	poset	poset	NOUN
ejpam-3009	37	3	p	p	NOUN
ejpam-3009	37	4	is	be	AUX
ejpam-3009	37	5	called	call	VERB
ejpam-3009	37	6	simplicial	simplicial	ADJ
ejpam-3009	37	7	if	if	SCONJ
ejpam-3009	37	8	for	for	ADP
ejpam-3009	37	9	all	all	DET
ejpam-3009	37	10	t	t	NOUN
ejpam-3009	37	11	6=	6=	NUM
ejpam-3009	37	12	1	1	NUM
ejpam-3009	37	13	∈	∈	PROPN
ejpam-3009	37	14	p	p	NOUN
ejpam-3009	37	15	,	,	PUNCT
ejpam-3009	37	16	[	[	X
ejpam-3009	37	17	0	0	NUM
ejpam-3009	37	18	,	,	PUNCT
ejpam-3009	37	19	t	t	PROPN
ejpam-3009	37	20	]	]	PUNCT
ejpam-3009	37	21	is	be	AUX
ejpam-3009	37	22	a	a	DET
ejpam-3009	37	23	boolean	boolean	ADJ
ejpam-3009	37	24	algebra	algebra	NOUN
ejpam-3009	37	25	and	and	CCONJ
ejpam-3009	37	26	p	p	NOUN
ejpam-3009	37	27	is	be	AUX
ejpam-3009	37	28	called	call	VERB
ejpam-3009	37	29	dual	dual	ADJ
ejpam-3009	37	30	simplicial	simplicial	NOUN
ejpam-3009	37	31	if	if	SCONJ
ejpam-3009	37	32	for	for	ADP
ejpam-3009	37	33	all	all	DET
ejpam-3009	37	34	t	t	NOUN
ejpam-3009	37	35	6=	6=	NUM
ejpam-3009	37	36	0	0	SYM
ejpam-3009	37	37	∈	∈	PROPN
ejpam-3009	37	38	p	p	NOUN
ejpam-3009	37	39	,	,	PUNCT
ejpam-3009	37	40	[	[	X
ejpam-3009	37	41	t	t	X
ejpam-3009	37	42	,	,	PUNCT
ejpam-3009	37	43	1	1	NUM
ejpam-3009	37	44	]	]	PUNCT
ejpam-3009	37	45	is	be	AUX
ejpam-3009	37	46	a	a	DET
ejpam-3009	37	47	boolean	boolean	ADJ
ejpam-3009	37	48	algebra	algebra	NOUN
ejpam-3009	37	49	.	.	PUNCT
ejpam-3009	38	1	lemma	lemma	PROPN
ejpam-3009	38	2	2.6	2.6	NUM
ejpam-3009	38	3	.	.	PUNCT
ejpam-3009	39	1	[	[	X
ejpam-3009	39	2	1	1	X
ejpam-3009	39	3	]	]	X
ejpam-3009	39	4	let	let	VERB
ejpam-3009	39	5	l	l	NOUN
ejpam-3009	39	6	and	and	CCONJ
ejpam-3009	39	7	k	k	PROPN
ejpam-3009	39	8	be	be	AUX
ejpam-3009	39	9	any	any	DET
ejpam-3009	39	10	two	two	NUM
ejpam-3009	39	11	lattices	lattice	NOUN
ejpam-3009	39	12	.	.	PUNCT
ejpam-3009	40	1	then	then	ADV
ejpam-3009	40	2	cs(l×k	cs(l×k	PROPN
ejpam-3009	40	3	)	)	PUNCT
ejpam-3009	40	4	u	u	NOUN
ejpam-3009	41	1	[	[	X
ejpam-3009	41	2	(	(	PUNCT
ejpam-3009	41	3	cs(l)−	cs(l)−	PROPN
ejpam-3009	41	4	{	{	PUNCT
ejpam-3009	41	5	∅})×	∅})×	PROPN
ejpam-3009	41	6	(	(	PUNCT
ejpam-3009	41	7	cs(k)−	cs(k)−	PROPN
ejpam-3009	41	8	{	{	PUNCT
ejpam-3009	41	9	∅	∅	NOUN
ejpam-3009	41	10	}	}	PUNCT
ejpam-3009	41	11	)	)	PUNCT
ejpam-3009	41	12	]	]	PUNCT
ejpam-3009	41	13	∪	∪	ADP
ejpam-3009	41	14	{	{	PUNCT
ejpam-3009	41	15	∅	∅	NOUN
ejpam-3009	41	16	}	}	PUNCT
ejpam-3009	41	17	.	.	PUNCT
ejpam-3009	42	1	lemma	lemma	PROPN
ejpam-3009	42	2	2.7	2.7	NUM
ejpam-3009	42	3	.	.	PUNCT
ejpam-3009	43	1	[	[	X
ejpam-3009	43	2	14	14	NUM
ejpam-3009	43	3	]	]	PUNCT
ejpam-3009	43	4	let	let	VERB
ejpam-3009	43	5	bn	bn	PART
ejpam-3009	43	6	be	be	AUX
ejpam-3009	43	7	a	a	DET
ejpam-3009	43	8	boolean	boolean	ADJ
ejpam-3009	43	9	lattice	lattice	NOUN
ejpam-3009	43	10	of	of	ADP
ejpam-3009	43	11	rank	rank	PROPN
ejpam-3009	43	12	n.	n.	PROPN
ejpam-3009	43	13	then	then	ADV
ejpam-3009	43	14	cs(bn	cs(bn	PROPN
ejpam-3009	43	15	)	)	PUNCT
ejpam-3009	43	16	is	be	AUX
ejpam-3009	43	17	a	a	DET
ejpam-3009	43	18	dual	dual	ADJ
ejpam-3009	43	19	simplicial	simplicial	ADJ
ejpam-3009	43	20	eulerian	eulerian	ADJ
ejpam-3009	43	21	lattice	lattice	NOUN
ejpam-3009	43	22	.	.	PUNCT
ejpam-3009	44	1	3	3	X
ejpam-3009	44	2	.	.	X
ejpam-3009	44	3	convex	convex	PROPN
ejpam-3009	44	4	sublattices	sublattice	NOUN
ejpam-3009	44	5	of	of	ADP
ejpam-3009	44	6	s(bn	s(bn	NOUN
ejpam-3009	44	7	)	)	PUNCT
ejpam-3009	44	8	theorem	theorem	VERB
ejpam-3009	44	9	3.1	3.1	NUM
ejpam-3009	44	10	.	.	PUNCT
ejpam-3009	45	1	the	the	DET
ejpam-3009	45	2	lattice	lattice	NOUN
ejpam-3009	45	3	of	of	ADP
ejpam-3009	45	4	convex	convex	ADJ
ejpam-3009	45	5	sublattices	sublattice	NOUN
ejpam-3009	45	6	of	of	ADP
ejpam-3009	45	7	s(bn	s(bn	NOUN
ejpam-3009	45	8	)	)	PUNCT
ejpam-3009	45	9	,	,	PUNCT
ejpam-3009	45	10	cs(s(bn	cs(s(bn	PROPN
ejpam-3009	45	11	)	)	PUNCT
ejpam-3009	45	12	)	)	PUNCT
ejpam-3009	45	13	with	with	ADP
ejpam-3009	45	14	respect	respect	NOUN
ejpam-3009	45	15	to	to	ADP
ejpam-3009	45	16	the	the	DET
ejpam-3009	45	17	set	set	VERB
ejpam-3009	45	18	inclusion	inclusion	NOUN
ejpam-3009	45	19	relation	relation	NOUN
ejpam-3009	45	20	is	be	AUX
ejpam-3009	45	21	an	an	DET
ejpam-3009	45	22	eulerian	eulerian	ADJ
ejpam-3009	45	23	lattice	lattice	NOUN
ejpam-3009	45	24	.	.	PUNCT
ejpam-3009	46	1	proof	proof	NOUN
ejpam-3009	46	2	.	.	PUNCT
ejpam-3009	47	1	it	it	PRON
ejpam-3009	47	2	is	be	AUX
ejpam-3009	47	3	clear	clear	ADJ
ejpam-3009	47	4	that	that	SCONJ
ejpam-3009	47	5	the	the	DET
ejpam-3009	47	6	rank	rank	NOUN
ejpam-3009	47	7	of	of	ADP
ejpam-3009	47	8	cs(s(bn	cs(s(bn	PROPN
ejpam-3009	47	9	)	)	PUNCT
ejpam-3009	47	10	)	)	PUNCT
ejpam-3009	47	11	is	be	AUX
ejpam-3009	47	12	n+	n+	ADP
ejpam-3009	48	1	2	2	X
ejpam-3009	48	2	.	.	X
ejpam-3009	48	3	we	we	PRON
ejpam-3009	48	4	are	be	AUX
ejpam-3009	48	5	going	go	VERB
ejpam-3009	48	6	to	to	PART
ejpam-3009	48	7	prove	prove	VERB
ejpam-3009	48	8	that	that	SCONJ
ejpam-3009	48	9	cs(s(bn	cs(s(bn	NOUN
ejpam-3009	48	10	)	)	PUNCT
ejpam-3009	48	11	)	)	PUNCT
ejpam-3009	48	12	is	be	AUX
ejpam-3009	48	13	eulerian	eulerian	ADJ
ejpam-3009	48	14	.	.	PUNCT
ejpam-3009	49	1	that	that	PRON
ejpam-3009	49	2	is	be	AUX
ejpam-3009	49	3	,	,	PUNCT
ejpam-3009	49	4	to	to	PART
ejpam-3009	49	5	prove	prove	VERB
ejpam-3009	49	6	that	that	SCONJ
ejpam-3009	49	7	this	this	DET
ejpam-3009	49	8	interval	interval	NOUN
ejpam-3009	49	9	[	[	X
ejpam-3009	49	10	∅	∅	NOUN
ejpam-3009	49	11	,	,	PUNCT
ejpam-3009	49	12	bn	bn	X
ejpam-3009	49	13	]	]	PUNCT
ejpam-3009	49	14	has	have	VERB
ejpam-3009	49	15	the	the	DET
ejpam-3009	49	16	same	same	ADJ
ejpam-3009	49	17	number	number	NOUN
ejpam-3009	49	18	of	of	ADP
ejpam-3009	49	19	elements	element	NOUN
ejpam-3009	49	20	of	of	ADP
ejpam-3009	49	21	odd	odd	ADJ
ejpam-3009	49	22	and	and	CCONJ
ejpam-3009	49	23	even	even	ADV
ejpam-3009	49	24	rank	rank	PROPN
ejpam-3009	49	25	.	.	PUNCT
ejpam-3009	50	1	g.	g.	PROPN
ejpam-3009	50	2	sheeba	sheeba	PROPN
ejpam-3009	50	3	merlin	merlin	PROPN
ejpam-3009	50	4	,	,	PUNCT
ejpam-3009	50	5	a.	a.	NOUN
ejpam-3009	50	6	vethamanickam	vethamanickam	PROPN
ejpam-3009	50	7	/	/	SYM
ejpam-3009	50	8	eur	eur	PROPN
ejpam-3009	50	9	.	.	PUNCT
ejpam-3009	51	1	j.	j.	PROPN
ejpam-3009	51	2	pure	pure	PROPN
ejpam-3009	51	3	appl	appl	PROPN
ejpam-3009	51	4	.	.	PROPN
ejpam-3009	51	5	math	math	PROPN
ejpam-3009	51	6	,	,	PUNCT
ejpam-3009	51	7	10	10	NUM
ejpam-3009	51	8	(	(	PUNCT
ejpam-3009	51	9	4	4	NUM
ejpam-3009	51	10	)	)	PUNCT
ejpam-3009	51	11	(	(	PUNCT
ejpam-3009	51	12	2017	2017	NUM
ejpam-3009	51	13	)	)	PUNCT
ejpam-3009	51	14	,	,	PUNCT
ejpam-3009	51	15	916	916	NUM
ejpam-3009	51	16	-	-	SYM
ejpam-3009	51	17	928	928	NUM
ejpam-3009	51	18	919	919	NUM
ejpam-3009	52	1	b	b	PROPN
ejpam-3009	52	2	b	b	X
ejpam-3009	52	3	b	b	PROPN
ejpam-3009	52	4	b	b	PROPN
ejpam-3009	52	5	b	b	PROPN
ejpam-3009	52	6	b	b	PROPN
ejpam-3009	52	7	b	b	PROPN
ejpam-3009	52	8	b	b	PROPN
ejpam-3009	52	9	b	b	PROPN
ejpam-3009	52	10	b	b	PROPN
ejpam-3009	52	11	b	b	PROPN
ejpam-3009	52	12	b	b	PROPN
ejpam-3009	52	13	b	b	PROPN
ejpam-3009	52	14	bbb	bbb	PROPN
ejpam-3009	52	15	b	b	PROPN
ejpam-3009	52	16	b	b	PROPN
ejpam-3009	52	17	b	b	PROPN
ejpam-3009	52	18	b	b	PROPN
ejpam-3009	52	19	b	b	PROPN
ejpam-3009	52	20	b	b	PROPN
ejpam-3009	52	21	b	b	PROPN
ejpam-3009	52	22	b	b	PROPN
ejpam-3009	52	23	b	b	PROPN
ejpam-3009	52	24	b	b	PROPN
ejpam-3009	52	25	b	b	PROPN
ejpam-3009	52	26	b	b	PROPN
ejpam-3009	52	27	b	b	PROPN
ejpam-3009	52	28	b	b	PROPN
ejpam-3009	52	29	b	b	PROPN
ejpam-3009	52	30	b	b	PROPN
ejpam-3009	52	31	b	b	PROPN
ejpam-3009	52	32	b	b	PROPN
ejpam-3009	52	33	b	b	PROPN
ejpam-3009	52	34	b	b	X
ejpam-3009	52	35	{	{	PUNCT
ejpam-3009	52	36	0	0	NUM
ejpam-3009	52	37	}	}	PUNCT
ejpam-3009	52	38	{	{	PUNCT
ejpam-3009	52	39	w	w	NOUN
ejpam-3009	52	40	}	}	PUNCT
ejpam-3009	52	41	{	{	PUNCT
ejpam-3009	52	42	x	x	NOUN
ejpam-3009	52	43	}	}	PUNCT
ejpam-3009	52	44	{	{	PUNCT
ejpam-3009	52	45	y	y	NOUN
ejpam-3009	52	46	}	}	PUNCT
ejpam-3009	52	47	{	{	PUNCT
ejpam-3009	52	48	z	z	NOUN
ejpam-3009	52	49	}	}	PUNCT
ejpam-3009	52	50	{	{	PUNCT
ejpam-3009	52	51	p	p	NOUN
ejpam-3009	52	52	}	}	PUNCT
ejpam-3009	52	53	{	{	PUNCT
ejpam-3009	52	54	q	q	NOUN
ejpam-3009	52	55	}	}	PUNCT
ejpam-3009	52	56	{	{	PUNCT
ejpam-3009	52	57	r	r	NOUN
ejpam-3009	52	58	}	}	PUNCT
ejpam-3009	52	59	{	{	PUNCT
ejpam-3009	52	60	s	s	NOUN
ejpam-3009	52	61	}	}	PUNCT
ejpam-3009	52	62	{	{	PUNCT
ejpam-3009	52	63	1	1	NUM
ejpam-3009	52	64	}	}	PUNCT
ejpam-3009	52	65	{	{	PUNCT
ejpam-3009	52	66	0	0	NUM
ejpam-3009	52	67	,	,	PUNCT
ejpam-3009	52	68	w	w	NOUN
ejpam-3009	52	69	}	}	PUNCT
ejpam-3009	52	70	{	{	PUNCT
ejpam-3009	52	71	0	0	NUM
ejpam-3009	52	72	,	,	PUNCT
ejpam-3009	52	73	x	x	NOUN
ejpam-3009	52	74	}	}	PUNCT
ejpam-3009	52	75	{	{	PUNCT
ejpam-3009	52	76	0	0	NUM
ejpam-3009	52	77	,	,	PUNCT
ejpam-3009	52	78	y	y	NOUN
ejpam-3009	52	79	}	}	PUNCT
ejpam-3009	52	80	{	{	PUNCT
ejpam-3009	52	81	0	0	NUM
ejpam-3009	52	82	,	,	PUNCT
ejpam-3009	52	83	z	z	NOUN
ejpam-3009	52	84	}	}	PUNCT
ejpam-3009	52	85	{	{	PUNCT
ejpam-3009	52	86	w	w	PROPN
ejpam-3009	52	87	,	,	PUNCT
ejpam-3009	52	88	p	p	NOUN
ejpam-3009	52	89	}	}	PUNCT
ejpam-3009	52	90	{	{	PUNCT
ejpam-3009	52	91	w	w	PROPN
ejpam-3009	52	92	,	,	PUNCT
ejpam-3009	52	93	q	q	NOUN
ejpam-3009	52	94	}	}	PUNCT
ejpam-3009	52	95	{	{	PUNCT
ejpam-3009	52	96	x	x	NOUN
ejpam-3009	52	97	,	,	PUNCT
ejpam-3009	52	98	p	p	NOUN
ejpam-3009	52	99	}	}	PUNCT
ejpam-3009	52	100	{	{	PUNCT
ejpam-3009	52	101	x	x	NOUN
ejpam-3009	52	102	,	,	PUNCT
ejpam-3009	52	103	r	r	NOUN
ejpam-3009	52	104	}	}	PUNCT
ejpam-3009	52	105	{	{	PUNCT
ejpam-3009	52	106	y	y	NOUN
ejpam-3009	52	107	,	,	PUNCT
ejpam-3009	52	108	q	q	NOUN
ejpam-3009	52	109	}	}	PUNCT
ejpam-3009	52	110	{	{	PUNCT
ejpam-3009	52	111	y	y	PROPN
ejpam-3009	52	112	,	,	PUNCT
ejpam-3009	52	113	s	s	AUX
ejpam-3009	52	114	}	}	PUNCT
ejpam-3009	52	115	{	{	PUNCT
ejpam-3009	52	116	z	z	NOUN
ejpam-3009	52	117	,	,	PUNCT
ejpam-3009	52	118	r	r	NOUN
ejpam-3009	52	119	}	}	PUNCT
ejpam-3009	52	120	{	{	PUNCT
ejpam-3009	52	121	z	z	PROPN
ejpam-3009	52	122	,	,	PUNCT
ejpam-3009	52	123	s	s	AUX
ejpam-3009	52	124	}	}	PUNCT
ejpam-3009	52	125	{	{	PUNCT
ejpam-3009	52	126	p	p	X
ejpam-3009	52	127	,	,	PUNCT
ejpam-3009	52	128	1	1	NUM
ejpam-3009	52	129	}	}	PUNCT
ejpam-3009	52	130	{	{	PUNCT
ejpam-3009	52	131	q	q	ADJ
ejpam-3009	52	132	,	,	PUNCT
ejpam-3009	52	133	1	1	NUM
ejpam-3009	52	134	}	}	PUNCT
ejpam-3009	52	135	{	{	PUNCT
ejpam-3009	52	136	r	r	NOUN
ejpam-3009	52	137	,	,	PUNCT
ejpam-3009	52	138	1	1	NUM
ejpam-3009	52	139	}	}	PUNCT
ejpam-3009	52	140	{	{	PUNCT
ejpam-3009	52	141	s	s	PROPN
ejpam-3009	52	142	,	,	PUNCT
ejpam-3009	52	143	1	1	NUM
ejpam-3009	52	144	}	}	PUNCT
ejpam-3009	52	145	{	{	PUNCT
ejpam-3009	52	146	0	0	NUM
ejpam-3009	52	147	,	,	PUNCT
ejpam-3009	52	148	p	p	NOUN
ejpam-3009	52	149	}	}	PUNCT
ejpam-3009	52	150	{	{	PUNCT
ejpam-3009	52	151	0	0	NUM
ejpam-3009	52	152	,	,	PUNCT
ejpam-3009	52	153	q	q	NOUN
ejpam-3009	52	154	}	}	PUNCT
ejpam-3009	52	155	{	{	PUNCT
ejpam-3009	52	156	0	0	NUM
ejpam-3009	52	157	,	,	PUNCT
ejpam-3009	52	158	r	r	NOUN
ejpam-3009	52	159	}	}	PUNCT
ejpam-3009	52	160	{	{	PUNCT
ejpam-3009	52	161	0	0	NUM
ejpam-3009	52	162	,	,	PUNCT
ejpam-3009	52	163	s	s	AUX
ejpam-3009	52	164	}	}	PUNCT
ejpam-3009	52	165	{	{	PUNCT
ejpam-3009	52	166	w	w	PROPN
ejpam-3009	52	167	,	,	PUNCT
ejpam-3009	52	168	1	1	NUM
ejpam-3009	52	169	}	}	PUNCT
ejpam-3009	52	170	{	{	PUNCT
ejpam-3009	52	171	x	x	NOUN
ejpam-3009	52	172	,	,	PUNCT
ejpam-3009	52	173	1	1	NUM
ejpam-3009	52	174	}	}	PUNCT
ejpam-3009	52	175	{	{	PUNCT
ejpam-3009	52	176	y	y	PROPN
ejpam-3009	52	177	,	,	PUNCT
ejpam-3009	52	178	1	1	NUM
ejpam-3009	52	179	}	}	PUNCT
ejpam-3009	52	180	{	{	PUNCT
ejpam-3009	52	181	z	z	NOUN
ejpam-3009	52	182	,	,	PUNCT
ejpam-3009	52	183	1	1	NUM
ejpam-3009	52	184	}	}	PUNCT
ejpam-3009	52	185	s(b2	s(b2	NOUN
ejpam-3009	52	186	)	)	PUNCT
ejpam-3009	52	187	φ	φ	PROPN
ejpam-3009	52	188	figure	figure	VERB
ejpam-3009	52	189	4	4	NUM
ejpam-3009	52	190	:	:	PUNCT
ejpam-3009	52	191	cs[s(b2	cs[s(b2	NOUN
ejpam-3009	52	192	)	)	PUNCT
ejpam-3009	52	193	]	]	PUNCT
ejpam-3009	53	1	let	let	VERB
ejpam-3009	53	2	ai	ai	AUX
ejpam-3009	53	3	be	be	AUX
ejpam-3009	53	4	the	the	DET
ejpam-3009	53	5	number	number	NOUN
ejpam-3009	53	6	of	of	ADP
ejpam-3009	53	7	elements	element	NOUN
ejpam-3009	53	8	of	of	ADP
ejpam-3009	53	9	rank	rank	NOUN
ejpam-3009	53	10	i	i	PRON
ejpam-3009	53	11	in	in	ADP
ejpam-3009	53	12	cs(s(bn	cs(s(bn	PROPN
ejpam-3009	53	13	)	)	PUNCT
ejpam-3009	53	14	)	)	PUNCT
ejpam-3009	53	15	.	.	PUNCT
ejpam-3009	54	1	a1	a1	NOUN
ejpam-3009	54	2	=	=	NOUN
ejpam-3009	54	3	the	the	DET
ejpam-3009	54	4	number	number	NOUN
ejpam-3009	54	5	of	of	ADP
ejpam-3009	54	6	singleton	singleton	NOUN
ejpam-3009	54	7	subsets	subset	NOUN
ejpam-3009	54	8	of	of	ADP
ejpam-3009	54	9	cs[s(bn	cs[s(bn	NOUN
ejpam-3009	54	10	)	)	PUNCT
ejpam-3009	54	11	]	]	PUNCT
ejpam-3009	55	1	=	=	SYM
ejpam-3009	55	2	2	2	NUM
ejpam-3009	55	3	+	+	CCONJ
ejpam-3009	55	4	n+	n+	NUM
ejpam-3009	55	5	2	2	NUM
ejpam-3009	55	6	+	+	NUM
ejpam-3009	55	7	2n+	2n+	NUM
ejpam-3009	55	8	(	(	PUNCT
ejpam-3009	55	9	n	n	NOUN
ejpam-3009	55	10	2	2	NUM
ejpam-3009	55	11	)	)	PUNCT
ejpam-3009	55	12	+	+	CCONJ
ejpam-3009	55	13	2	2	NUM
ejpam-3009	55	14	(	(	PUNCT
ejpam-3009	55	15	n	n	NOUN
ejpam-3009	55	16	2	2	NUM
ejpam-3009	55	17	)	)	PUNCT
ejpam-3009	55	18	+	+	CCONJ
ejpam-3009	55	19	(	(	PUNCT
ejpam-3009	55	20	n	n	ADV
ejpam-3009	55	21	3	3	NUM
ejpam-3009	55	22	)	)	PUNCT
ejpam-3009	56	1	+	+	CCONJ
ejpam-3009	56	2	2	2	NUM
ejpam-3009	56	3	(	(	PUNCT
ejpam-3009	56	4	n	n	NOUN
ejpam-3009	56	5	3	3	NUM
ejpam-3009	56	6	)	)	PUNCT
ejpam-3009	56	7	+	+	CCONJ
ejpam-3009	56	8	(	(	PUNCT
ejpam-3009	56	9	n	n	ADV
ejpam-3009	56	10	4	4	NUM
ejpam-3009	56	11	)	)	PUNCT
ejpam-3009	56	12	+	+	CCONJ
ejpam-3009	56	13	.	.	PUNCT
ejpam-3009	56	14	.	.	PUNCT
ejpam-3009	57	1	.+	.+	NOUN
ejpam-3009	57	2	2	2	NUM
ejpam-3009	57	3	(	(	PUNCT
ejpam-3009	57	4	n	n	NUM
ejpam-3009	57	5	n−	n−	NOUN
ejpam-3009	57	6	2	2	NUM
ejpam-3009	57	7	)	)	PUNCT
ejpam-3009	57	8	+	+	CCONJ
ejpam-3009	57	9	(	(	PUNCT
ejpam-3009	57	10	n	n	PRON
ejpam-3009	57	11	n−	n−	NOUN
ejpam-3009	57	12	1	1	NUM
ejpam-3009	57	13	)	)	PUNCT
ejpam-3009	57	14	+	+	CCONJ
ejpam-3009	57	15	2	2	NUM
ejpam-3009	57	16	(	(	PUNCT
ejpam-3009	57	17	n	n	NUM
ejpam-3009	57	18	n−	n−	NOUN
ejpam-3009	57	19	1	1	NUM
ejpam-3009	57	20	)	)	PUNCT
ejpam-3009	57	21	=	=	SYM
ejpam-3009	57	22	2	2	NUM
ejpam-3009	57	23	+	+	CCONJ
ejpam-3009	57	24	(	(	PUNCT
ejpam-3009	57	25	n	n	ADV
ejpam-3009	57	26	1	1	NUM
ejpam-3009	57	27	)	)	PUNCT
ejpam-3009	57	28	+	+	CCONJ
ejpam-3009	57	29	2	2	NUM
ejpam-3009	57	30	(	(	PUNCT
ejpam-3009	57	31	n	n	NOUN
ejpam-3009	57	32	0	0	NUM
ejpam-3009	57	33	)	)	PUNCT
ejpam-3009	58	1	+	+	CCONJ
ejpam-3009	58	2	2	2	NUM
ejpam-3009	58	3	(	(	PUNCT
ejpam-3009	58	4	n	n	NOUN
ejpam-3009	58	5	1	1	NUM
ejpam-3009	58	6	)	)	PUNCT
ejpam-3009	58	7	+	+	CCONJ
ejpam-3009	58	8	(	(	PUNCT
ejpam-3009	58	9	n	n	ADV
ejpam-3009	58	10	2	2	NUM
ejpam-3009	58	11	)	)	PUNCT
ejpam-3009	58	12	+	+	CCONJ
ejpam-3009	58	13	2	2	NUM
ejpam-3009	58	14	(	(	PUNCT
ejpam-3009	58	15	n	n	NOUN
ejpam-3009	58	16	2	2	NUM
ejpam-3009	58	17	)	)	PUNCT
ejpam-3009	58	18	+	+	CCONJ
ejpam-3009	58	19	(	(	PUNCT
ejpam-3009	58	20	n	n	ADV
ejpam-3009	58	21	3	3	NUM
ejpam-3009	58	22	)	)	PUNCT
ejpam-3009	58	23	+2	+2	PROPN
ejpam-3009	58	24	(	(	PUNCT
ejpam-3009	58	25	n	n	NOUN
ejpam-3009	58	26	3	3	NUM
ejpam-3009	58	27	)	)	PUNCT
ejpam-3009	58	28	+	+	CCONJ
ejpam-3009	58	29	(	(	PUNCT
ejpam-3009	58	30	n	n	ADV
ejpam-3009	58	31	4	4	NUM
ejpam-3009	58	32	)	)	PUNCT
ejpam-3009	58	33	+	+	CCONJ
ejpam-3009	58	34	.	.	PUNCT
ejpam-3009	58	35	.	.	PUNCT
ejpam-3009	59	1	.+	.+	NOUN
ejpam-3009	59	2	2	2	NUM
ejpam-3009	59	3	(	(	PUNCT
ejpam-3009	59	4	n	n	NUM
ejpam-3009	59	5	n−	n−	NOUN
ejpam-3009	59	6	2	2	NUM
ejpam-3009	59	7	)	)	PUNCT
ejpam-3009	59	8	+	+	CCONJ
ejpam-3009	59	9	(	(	PUNCT
ejpam-3009	59	10	n	n	PRON
ejpam-3009	59	11	n−	n−	NOUN
ejpam-3009	59	12	1	1	NUM
ejpam-3009	59	13	)	)	PUNCT
ejpam-3009	59	14	+	+	CCONJ
ejpam-3009	59	15	2	2	NUM
ejpam-3009	59	16	(	(	PUNCT
ejpam-3009	59	17	n	n	NUM
ejpam-3009	59	18	n−	n−	NOUN
ejpam-3009	59	19	1	1	NUM
ejpam-3009	59	20	)	)	PUNCT
ejpam-3009	59	21	(	(	PUNCT
ejpam-3009	59	22	1	1	X
ejpam-3009	59	23	)	)	PUNCT
ejpam-3009	59	24	a2	a2	NOUN
ejpam-3009	59	25	=	=	PRON
ejpam-3009	59	26	the	the	DET
ejpam-3009	59	27	number	number	NOUN
ejpam-3009	59	28	of	of	ADP
ejpam-3009	59	29	rank	rank	NOUN
ejpam-3009	59	30	2	2	NUM
ejpam-3009	59	31	elements	element	NOUN
ejpam-3009	59	32	in	in	ADP
ejpam-3009	59	33	cs(s(bn	cs(s(bn	NOUN
ejpam-3009	59	34	)	)	PUNCT
ejpam-3009	59	35	)	)	PUNCT
ejpam-3009	60	1	=	=	NOUN
ejpam-3009	60	2	the	the	DET
ejpam-3009	60	3	number	number	NOUN
ejpam-3009	60	4	of	of	ADP
ejpam-3009	60	5	edges	edge	NOUN
ejpam-3009	60	6	in	in	ADP
ejpam-3009	60	7	s(bn	s(bn	NOUN
ejpam-3009	60	8	)	)	PUNCT
ejpam-3009	60	9	=	=	SYM
ejpam-3009	60	10	number	number	NOUN
ejpam-3009	60	11	of	of	ADP
ejpam-3009	60	12	edges	edge	NOUN
ejpam-3009	60	13	containing	contain	VERB
ejpam-3009	60	14	0	0	PUNCT
ejpam-3009	61	1	+	+	NUM
ejpam-3009	61	2	number	number	NOUN
ejpam-3009	61	3	of	of	ADP
ejpam-3009	61	4	edges	edge	NOUN
ejpam-3009	61	5	containing	contain	VERB
ejpam-3009	61	6	the	the	DET
ejpam-3009	61	7	atoms	atom	NOUN
ejpam-3009	62	1	+	+	NOUN
ejpam-3009	62	2	number	number	NOUN
ejpam-3009	62	3	of	of	ADP
ejpam-3009	62	4	edges	edge	NOUN
ejpam-3009	62	5	from	from	ADP
ejpam-3009	62	6	the	the	DET
ejpam-3009	62	7	rank	rank	NOUN
ejpam-3009	62	8	2	2	NUM
ejpam-3009	62	9	elements	element	NOUN
ejpam-3009	62	10	+	+	X
ejpam-3009	62	11	.	.	PUNCT
ejpam-3009	62	12	.	.	PUNCT
ejpam-3009	63	1	.+	.+	NOUN
ejpam-3009	63	2	number	number	NOUN
ejpam-3009	63	3	of	of	ADP
ejpam-3009	63	4	edges	edge	NOUN
ejpam-3009	63	5	containing	contain	VERB
ejpam-3009	63	6	the	the	DET
ejpam-3009	63	7	coatoms	coatom	NOUN
ejpam-3009	63	8	of	of	ADP
ejpam-3009	63	9	s(bn	s(bn	NOUN
ejpam-3009	63	10	)	)	PUNCT
ejpam-3009	63	11	.	.	PUNCT
ejpam-3009	64	1	number	number	NOUN
ejpam-3009	64	2	of	of	ADP
ejpam-3009	64	3	edges	edge	NOUN
ejpam-3009	64	4	containing	contain	VERB
ejpam-3009	64	5	0	0	PUNCT
ejpam-3009	65	1	=	=	NOUN
ejpam-3009	65	2	n+	n+	ADP
ejpam-3009	65	3	2	2	NUM
ejpam-3009	65	4	(	(	PUNCT
ejpam-3009	65	5	2	2	NUM
ejpam-3009	65	6	)	)	PUNCT
ejpam-3009	65	7	g.	g.	PROPN
ejpam-3009	65	8	sheeba	sheeba	PROPN
ejpam-3009	65	9	merlin	merlin	PROPN
ejpam-3009	65	10	,	,	PUNCT
ejpam-3009	65	11	a.	a.	NOUN
ejpam-3009	65	12	vethamanickam	vethamanickam	PROPN
ejpam-3009	65	13	/	/	SYM
ejpam-3009	65	14	eur	eur	PROPN
ejpam-3009	65	15	.	.	PUNCT
ejpam-3009	66	1	j.	j.	PROPN
ejpam-3009	66	2	pure	pure	PROPN
ejpam-3009	66	3	appl	appl	PROPN
ejpam-3009	66	4	.	.	PROPN
ejpam-3009	66	5	math	math	PROPN
ejpam-3009	66	6	,	,	PUNCT
ejpam-3009	66	7	10	10	NUM
ejpam-3009	66	8	(	(	PUNCT
ejpam-3009	66	9	4	4	NUM
ejpam-3009	66	10	)	)	PUNCT
ejpam-3009	66	11	(	(	PUNCT
ejpam-3009	66	12	2017	2017	NUM
ejpam-3009	66	13	)	)	PUNCT
ejpam-3009	66	14	,	,	PUNCT
ejpam-3009	66	15	916	916	NUM
ejpam-3009	66	16	-	-	SYM
ejpam-3009	66	17	928	928	NUM
ejpam-3009	66	18	920	920	NUM
ejpam-3009	66	19	number	number	NOUN
ejpam-3009	66	20	of	of	ADP
ejpam-3009	66	21	edges	edge	NOUN
ejpam-3009	66	22	containing	contain	VERB
ejpam-3009	66	23	an	an	DET
ejpam-3009	66	24	extreme	extreme	ADJ
ejpam-3009	66	25	atom	atom	NOUN
ejpam-3009	66	26	=	=	NOUN
ejpam-3009	66	27	n	n	CCONJ
ejpam-3009	66	28	there	there	PRON
ejpam-3009	66	29	are	be	VERB
ejpam-3009	66	30	2	2	NUM
ejpam-3009	66	31	such	such	ADJ
ejpam-3009	66	32	extreme	extreme	ADJ
ejpam-3009	66	33	atoms	atom	NOUN
ejpam-3009	66	34	.	.	PUNCT
ejpam-3009	67	1	therefore	therefore	ADV
ejpam-3009	67	2	total	total	ADJ
ejpam-3009	67	3	number	number	NOUN
ejpam-3009	67	4	of	of	ADP
ejpam-3009	67	5	such	such	ADJ
ejpam-3009	67	6	edges	edge	NOUN
ejpam-3009	67	7	=	=	SYM
ejpam-3009	67	8	2	2	NUM
ejpam-3009	67	9	(	(	PUNCT
ejpam-3009	67	10	n	n	NOUN
ejpam-3009	67	11	1	1	NUM
ejpam-3009	67	12	)	)	PUNCT
ejpam-3009	67	13	.	.	PUNCT
ejpam-3009	68	1	from	from	ADP
ejpam-3009	68	2	an	an	DET
ejpam-3009	68	3	atom	atom	NOUN
ejpam-3009	68	4	of	of	ADP
ejpam-3009	68	5	a	a	DET
ejpam-3009	68	6	middle	middle	ADJ
ejpam-3009	68	7	copy	copy	NOUN
ejpam-3009	68	8	,	,	PUNCT
ejpam-3009	68	9	the	the	DET
ejpam-3009	68	10	number	number	NOUN
ejpam-3009	68	11	of	of	ADP
ejpam-3009	68	12	edges	edge	NOUN
ejpam-3009	68	13	=	=	PUNCT
ejpam-3009	68	14	n−	n−	NOUN
ejpam-3009	68	15	1	1	NUM
ejpam-3009	68	16	+	+	CCONJ
ejpam-3009	68	17	2	2	NUM
ejpam-3009	68	18	=	=	SYM
ejpam-3009	68	19	n+	n+	X
ejpam-3009	68	20	1	1	X
ejpam-3009	68	21	.	.	X
ejpam-3009	69	1	there	there	PRON
ejpam-3009	69	2	are	be	VERB
ejpam-3009	69	3	n	n	PRON
ejpam-3009	69	4	such	such	ADJ
ejpam-3009	69	5	atoms	atom	NOUN
ejpam-3009	69	6	.	.	PUNCT
ejpam-3009	70	1	therefore	therefore	ADV
ejpam-3009	70	2	total	total	ADJ
ejpam-3009	70	3	number	number	NOUN
ejpam-3009	70	4	of	of	ADP
ejpam-3009	70	5	such	such	ADJ
ejpam-3009	70	6	type	type	NOUN
ejpam-3009	70	7	of	of	ADP
ejpam-3009	70	8	edges	edge	NOUN
ejpam-3009	70	9	=	=	SYM
ejpam-3009	70	10	n(n+	n(n+	NUM
ejpam-3009	70	11	1	1	NUM
ejpam-3009	70	12	)	)	PUNCT
ejpam-3009	70	13	.	.	PUNCT
ejpam-3009	71	1	totally	totally	ADV
ejpam-3009	71	2	from	from	ADP
ejpam-3009	71	3	the	the	DET
ejpam-3009	71	4	atoms	atom	NOUN
ejpam-3009	71	5	,	,	PUNCT
ejpam-3009	71	6	the	the	DET
ejpam-3009	71	7	number	number	NOUN
ejpam-3009	71	8	of	of	ADP
ejpam-3009	71	9	edges	edge	NOUN
ejpam-3009	71	10	is	be	AUX
ejpam-3009	71	11	equal	equal	ADJ
ejpam-3009	71	12	to	to	ADP
ejpam-3009	71	13	2	2	NUM
ejpam-3009	71	14	(	(	PUNCT
ejpam-3009	71	15	n	n	NOUN
ejpam-3009	71	16	1	1	NUM
ejpam-3009	71	17	)	)	PUNCT
ejpam-3009	72	1	+	+	CCONJ
ejpam-3009	72	2	(	(	PUNCT
ejpam-3009	72	3	n	n	ADV
ejpam-3009	72	4	1	1	NUM
ejpam-3009	72	5	)	)	PUNCT
ejpam-3009	72	6	(	(	PUNCT
ejpam-3009	72	7	n+	n+	NOUN
ejpam-3009	72	8	1	1	NUM
ejpam-3009	72	9	)	)	PUNCT
ejpam-3009	72	10	.	.	PUNCT
ejpam-3009	73	1	(	(	PUNCT
ejpam-3009	73	2	3	3	X
ejpam-3009	73	3	)	)	PUNCT
ejpam-3009	73	4	number	number	NOUN
ejpam-3009	73	5	of	of	ADP
ejpam-3009	73	6	edges	edge	NOUN
ejpam-3009	73	7	from	from	ADP
ejpam-3009	73	8	a	a	DET
ejpam-3009	73	9	rank	rank	NOUN
ejpam-3009	73	10	2	2	NUM
ejpam-3009	73	11	element	element	NOUN
ejpam-3009	73	12	in	in	ADP
ejpam-3009	73	13	an	an	DET
ejpam-3009	73	14	extreme	extreme	ADJ
ejpam-3009	73	15	copy	copy	NOUN
ejpam-3009	73	16	=	=	SYM
ejpam-3009	73	17	n−	n−	NOUN
ejpam-3009	73	18	1	1	NUM
ejpam-3009	73	19	.	.	PUNCT
ejpam-3009	74	1	there	there	PRON
ejpam-3009	74	2	are	be	VERB
ejpam-3009	74	3	2n	2n	NUM
ejpam-3009	74	4	such	such	ADJ
ejpam-3009	74	5	elements	element	NOUN
ejpam-3009	74	6	.	.	PUNCT
ejpam-3009	75	1	therefore	therefore	ADV
ejpam-3009	75	2	the	the	DET
ejpam-3009	75	3	number	number	NOUN
ejpam-3009	75	4	of	of	ADP
ejpam-3009	75	5	edges	edge	NOUN
ejpam-3009	75	6	from	from	ADP
ejpam-3009	75	7	these	these	DET
ejpam-3009	75	8	elements	element	NOUN
ejpam-3009	75	9	=	=	SYM
ejpam-3009	75	10	2	2	NUM
ejpam-3009	75	11	(	(	PUNCT
ejpam-3009	75	12	n	n	NOUN
ejpam-3009	75	13	1	1	NUM
ejpam-3009	75	14	)	)	PUNCT
ejpam-3009	75	15	(	(	PUNCT
ejpam-3009	75	16	n−	n−	NOUN
ejpam-3009	75	17	1	1	NUM
ejpam-3009	75	18	)	)	PUNCT
ejpam-3009	75	19	.	.	PUNCT
ejpam-3009	76	1	the	the	DET
ejpam-3009	76	2	number	number	NOUN
ejpam-3009	76	3	of	of	ADP
ejpam-3009	76	4	edges	edge	NOUN
ejpam-3009	76	5	from	from	ADP
ejpam-3009	76	6	the	the	DET
ejpam-3009	76	7	rank	rank	NOUN
ejpam-3009	76	8	2	2	NUM
ejpam-3009	76	9	elements	element	NOUN
ejpam-3009	76	10	in	in	ADP
ejpam-3009	76	11	the	the	DET
ejpam-3009	76	12	middle	middle	ADJ
ejpam-3009	76	13	copy	copy	NOUN
ejpam-3009	76	14	=	=	SYM
ejpam-3009	76	15	(	(	PUNCT
ejpam-3009	76	16	n	n	CCONJ
ejpam-3009	76	17	2	2	NUM
ejpam-3009	76	18	)	)	PUNCT
ejpam-3009	76	19	×	×	NOUN
ejpam-3009	76	20	(	(	PUNCT
ejpam-3009	76	21	n	n	CCONJ
ejpam-3009	76	22	−	−	PROPN
ejpam-3009	76	23	2	2	NUM
ejpam-3009	76	24	+	+	CCONJ
ejpam-3009	76	25	2	2	NUM
ejpam-3009	76	26	)	)	PUNCT
ejpam-3009	76	27	=	=	NOUN
ejpam-3009	76	28	(	(	PUNCT
ejpam-3009	76	29	n	n	CCONJ
ejpam-3009	76	30	2	2	NUM
ejpam-3009	76	31	)	)	PUNCT
ejpam-3009	76	32	×	×	NOUN
ejpam-3009	76	33	n.	n.	NOUN
ejpam-3009	76	34	the	the	DET
ejpam-3009	76	35	total	total	ADJ
ejpam-3009	76	36	number	number	NOUN
ejpam-3009	76	37	of	of	ADP
ejpam-3009	76	38	edges	edge	NOUN
ejpam-3009	76	39	from	from	ADP
ejpam-3009	76	40	rank	rank	NOUN
ejpam-3009	76	41	2	2	NUM
ejpam-3009	76	42	elements	element	NOUN
ejpam-3009	76	43	is	be	AUX
ejpam-3009	76	44	2	2	NUM
ejpam-3009	76	45	(	(	PUNCT
ejpam-3009	76	46	n	n	NOUN
ejpam-3009	76	47	1	1	NUM
ejpam-3009	76	48	)	)	PUNCT
ejpam-3009	76	49	(	(	PUNCT
ejpam-3009	76	50	n−	n−	NOUN
ejpam-3009	76	51	1	1	NUM
ejpam-3009	76	52	)	)	PUNCT
ejpam-3009	76	53	+	+	CCONJ
ejpam-3009	76	54	(	(	PUNCT
ejpam-3009	76	55	n	n	PRON
ejpam-3009	76	56	2	2	NUM
ejpam-3009	76	57	)	)	PUNCT
ejpam-3009	76	58	×	×	NOUN
ejpam-3009	76	59	n.	n.	NOUN
ejpam-3009	76	60	(	(	PUNCT
ejpam-3009	76	61	4	4	NUM
ejpam-3009	76	62	)	)	PUNCT
ejpam-3009	76	63	the	the	DET
ejpam-3009	76	64	number	number	NOUN
ejpam-3009	76	65	of	of	ADP
ejpam-3009	76	66	edges	edge	NOUN
ejpam-3009	76	67	from	from	ADP
ejpam-3009	76	68	the	the	DET
ejpam-3009	76	69	rank	rank	NOUN
ejpam-3009	76	70	3	3	NUM
ejpam-3009	76	71	elements	element	NOUN
ejpam-3009	76	72	in	in	ADP
ejpam-3009	76	73	the	the	DET
ejpam-3009	76	74	middle	middle	ADJ
ejpam-3009	76	75	copy	copy	NOUN
ejpam-3009	76	76	is	be	AUX
ejpam-3009	76	77	n−	n−	PROPN
ejpam-3009	76	78	3	3	NUM
ejpam-3009	76	79	+	+	CCONJ
ejpam-3009	76	80	2	2	NUM
ejpam-3009	76	81	=	=	SYM
ejpam-3009	76	82	n−	n−	NOUN
ejpam-3009	76	83	1	1	NUM
ejpam-3009	76	84	.	.	PUNCT
ejpam-3009	77	1	there	there	PRON
ejpam-3009	77	2	are	be	VERB
ejpam-3009	77	3	(	(	PUNCT
ejpam-3009	77	4	n	n	ADV
ejpam-3009	77	5	3	3	NUM
ejpam-3009	77	6	)	)	PUNCT
ejpam-3009	77	7	such	such	ADJ
ejpam-3009	77	8	elements	element	NOUN
ejpam-3009	77	9	.	.	PUNCT
ejpam-3009	78	1	therefore	therefore	ADV
ejpam-3009	78	2	the	the	DET
ejpam-3009	78	3	number	number	NOUN
ejpam-3009	78	4	of	of	ADP
ejpam-3009	78	5	edges	edge	NOUN
ejpam-3009	78	6	from	from	ADP
ejpam-3009	78	7	the	the	DET
ejpam-3009	78	8	rank	rank	NOUN
ejpam-3009	78	9	3	3	NUM
ejpam-3009	78	10	elements	element	NOUN
ejpam-3009	78	11	in	in	ADP
ejpam-3009	78	12	the	the	DET
ejpam-3009	78	13	middle	middle	ADJ
ejpam-3009	78	14	copy	copy	NOUN
ejpam-3009	78	15	=	=	SYM
ejpam-3009	78	16	(	(	PUNCT
ejpam-3009	78	17	n	n	NOUN
ejpam-3009	78	18	3	3	NUM
ejpam-3009	78	19	)	)	PUNCT
ejpam-3009	78	20	(	(	PUNCT
ejpam-3009	78	21	n−	n−	NOUN
ejpam-3009	78	22	1	1	NUM
ejpam-3009	78	23	)	)	PUNCT
ejpam-3009	78	24	.	.	PUNCT
ejpam-3009	79	1	the	the	DET
ejpam-3009	79	2	number	number	NOUN
ejpam-3009	79	3	of	of	ADP
ejpam-3009	79	4	edges	edge	NOUN
ejpam-3009	79	5	from	from	ADP
ejpam-3009	79	6	a	a	DET
ejpam-3009	79	7	rank	rank	NOUN
ejpam-3009	79	8	3	3	NUM
ejpam-3009	79	9	element	element	NOUN
ejpam-3009	79	10	in	in	ADP
ejpam-3009	79	11	an	an	DET
ejpam-3009	79	12	extreme	extreme	ADJ
ejpam-3009	79	13	copy	copy	NOUN
ejpam-3009	79	14	is	be	AUX
ejpam-3009	79	15	n−	n−	NOUN
ejpam-3009	79	16	2	2	NUM
ejpam-3009	79	17	.	.	PUNCT
ejpam-3009	80	1	there	there	PRON
ejpam-3009	80	2	are	be	VERB
ejpam-3009	80	3	2	2	NUM
ejpam-3009	80	4	(	(	PUNCT
ejpam-3009	80	5	n	n	NUM
ejpam-3009	80	6	2	2	NUM
ejpam-3009	80	7	)	)	PUNCT
ejpam-3009	80	8	such	such	ADJ
ejpam-3009	80	9	elements	element	NOUN
ejpam-3009	80	10	.	.	PUNCT
ejpam-3009	81	1	therefore	therefore	ADV
ejpam-3009	81	2	number	number	NOUN
ejpam-3009	81	3	of	of	ADP
ejpam-3009	81	4	edges	edge	NOUN
ejpam-3009	81	5	from	from	ADP
ejpam-3009	81	6	rank	rank	NOUN
ejpam-3009	81	7	3	3	NUM
ejpam-3009	81	8	elements	element	NOUN
ejpam-3009	81	9	in	in	ADP
ejpam-3009	81	10	the	the	DET
ejpam-3009	81	11	extreme	extreme	ADJ
ejpam-3009	81	12	copies	copy	NOUN
ejpam-3009	81	13	=	=	SYM
ejpam-3009	81	14	2	2	NUM
ejpam-3009	81	15	(	(	PUNCT
ejpam-3009	81	16	n	n	NOUN
ejpam-3009	81	17	2	2	NUM
ejpam-3009	81	18	)	)	PUNCT
ejpam-3009	81	19	(	(	PUNCT
ejpam-3009	81	20	n−	n−	NOUN
ejpam-3009	81	21	2	2	NUM
ejpam-3009	81	22	)	)	PUNCT
ejpam-3009	81	23	.	.	PUNCT
ejpam-3009	82	1	therefore	therefore	ADV
ejpam-3009	82	2	total	total	ADJ
ejpam-3009	82	3	number	number	NOUN
ejpam-3009	82	4	of	of	ADP
ejpam-3009	82	5	edges	edge	NOUN
ejpam-3009	82	6	from	from	ADP
ejpam-3009	82	7	rank	rank	NOUN
ejpam-3009	82	8	3	3	NUM
ejpam-3009	82	9	elements	element	NOUN
ejpam-3009	82	10	of	of	ADP
ejpam-3009	82	11	cs(s(bn	cs(s(bn	PROPN
ejpam-3009	82	12	)	)	PUNCT
ejpam-3009	82	13	)	)	PUNCT
ejpam-3009	82	14	is	be	AUX
ejpam-3009	82	15	2	2	NUM
ejpam-3009	82	16	(	(	PUNCT
ejpam-3009	82	17	n	n	NOUN
ejpam-3009	82	18	2	2	NUM
ejpam-3009	82	19	)	)	PUNCT
ejpam-3009	82	20	(	(	PUNCT
ejpam-3009	82	21	n−	n−	NOUN
ejpam-3009	82	22	2	2	NUM
ejpam-3009	82	23	)	)	PUNCT
ejpam-3009	82	24	+	+	CCONJ
ejpam-3009	82	25	(	(	PUNCT
ejpam-3009	82	26	n	n	PROPN
ejpam-3009	82	27	3	3	NUM
ejpam-3009	82	28	)	)	PUNCT
ejpam-3009	82	29	(	(	PUNCT
ejpam-3009	82	30	n−	n−	NOUN
ejpam-3009	82	31	1	1	NUM
ejpam-3009	82	32	)	)	PUNCT
ejpam-3009	82	33	(	(	PUNCT
ejpam-3009	82	34	5	5	X
ejpam-3009	82	35	)	)	PUNCT
ejpam-3009	82	36	proceeding	proceed	VERB
ejpam-3009	82	37	like	like	ADP
ejpam-3009	82	38	this	this	PRON
ejpam-3009	82	39	we	we	PRON
ejpam-3009	82	40	get	get	VERB
ejpam-3009	82	41	the	the	DET
ejpam-3009	82	42	number	number	NOUN
ejpam-3009	82	43	of	of	ADP
ejpam-3009	82	44	edges	edge	NOUN
ejpam-3009	82	45	from	from	ADP
ejpam-3009	82	46	the	the	DET
ejpam-3009	82	47	co	co	NOUN
ejpam-3009	82	48	-	-	NOUN
ejpam-3009	82	49	atoms	atom	NOUN
ejpam-3009	82	50	=	=	SYM
ejpam-3009	82	51	2n	2n	NUM
ejpam-3009	82	52	=	=	SYM
ejpam-3009	82	53	2	2	NUM
ejpam-3009	82	54	(	(	PUNCT
ejpam-3009	82	55	n	n	NUM
ejpam-3009	82	56	n−	n−	NOUN
ejpam-3009	82	57	1	1	NUM
ejpam-3009	82	58	)	)	PUNCT
ejpam-3009	83	1	(	(	PUNCT
ejpam-3009	83	2	n−	n−	NOUN
ejpam-3009	83	3	n−	n−	NOUN
ejpam-3009	83	4	1	1	NUM
ejpam-3009	83	5	)	)	PUNCT
ejpam-3009	83	6	g.	g.	PROPN
ejpam-3009	83	7	sheeba	sheeba	PROPN
ejpam-3009	83	8	merlin	merlin	PROPN
ejpam-3009	83	9	,	,	PUNCT
ejpam-3009	83	10	a.	a.	NOUN
ejpam-3009	83	11	vethamanickam	vethamanickam	PROPN
ejpam-3009	83	12	/	/	SYM
ejpam-3009	83	13	eur	eur	PROPN
ejpam-3009	83	14	.	.	PUNCT
ejpam-3009	84	1	j.	j.	PROPN
ejpam-3009	84	2	pure	pure	PROPN
ejpam-3009	84	3	appl	appl	PROPN
ejpam-3009	84	4	.	.	PROPN
ejpam-3009	84	5	math	math	PROPN
ejpam-3009	84	6	,	,	PUNCT
ejpam-3009	84	7	10	10	NUM
ejpam-3009	84	8	(	(	PUNCT
ejpam-3009	84	9	4	4	NUM
ejpam-3009	84	10	)	)	PUNCT
ejpam-3009	84	11	(	(	PUNCT
ejpam-3009	84	12	2017	2017	NUM
ejpam-3009	84	13	)	)	PUNCT
ejpam-3009	84	14	,	,	PUNCT
ejpam-3009	84	15	916	916	NUM
ejpam-3009	84	16	-	-	SYM
ejpam-3009	84	17	928	928	NUM
ejpam-3009	84	18	921	921	NUM
ejpam-3009	84	19	from	from	ADP
ejpam-3009	84	20	(	(	PUNCT
ejpam-3009	84	21	2	2	NUM
ejpam-3009	84	22	)	)	PUNCT
ejpam-3009	84	23	,	,	PUNCT
ejpam-3009	84	24	(	(	PUNCT
ejpam-3009	84	25	3	3	NUM
ejpam-3009	84	26	)	)	PUNCT
ejpam-3009	84	27	,	,	PUNCT
ejpam-3009	84	28	(	(	PUNCT
ejpam-3009	84	29	4	4	NUM
ejpam-3009	84	30	)	)	PUNCT
ejpam-3009	84	31	and	and	CCONJ
ejpam-3009	84	32	(	(	PUNCT
ejpam-3009	84	33	5	5	NUM
ejpam-3009	84	34	)	)	PUNCT
ejpam-3009	84	35	,	,	PUNCT
ejpam-3009	84	36	the	the	DET
ejpam-3009	84	37	total	total	ADJ
ejpam-3009	84	38	number	number	NOUN
ejpam-3009	84	39	of	of	ADP
ejpam-3009	84	40	edges	edge	NOUN
ejpam-3009	84	41	in	in	ADP
ejpam-3009	84	42	s(bn	s(bn	NOUN
ejpam-3009	84	43	)	)	PUNCT
ejpam-3009	84	44	is	be	AUX
ejpam-3009	84	45	a2	a2	PROPN
ejpam-3009	84	46	=	=	PUNCT
ejpam-3009	84	47	n+	n+	X
ejpam-3009	84	48	2	2	NUM
ejpam-3009	84	49	+	+	NUM
ejpam-3009	84	50	2	2	NUM
ejpam-3009	84	51	(	(	PUNCT
ejpam-3009	84	52	n	n	NOUN
ejpam-3009	84	53	1	1	NUM
ejpam-3009	84	54	)	)	PUNCT
ejpam-3009	85	1	+	+	CCONJ
ejpam-3009	85	2	(	(	PUNCT
ejpam-3009	85	3	n	n	ADV
ejpam-3009	85	4	1	1	NUM
ejpam-3009	85	5	)	)	PUNCT
ejpam-3009	85	6	(	(	PUNCT
ejpam-3009	85	7	n+	n+	X
ejpam-3009	85	8	1	1	X
ejpam-3009	85	9	)	)	PUNCT
ejpam-3009	85	10	+	+	CCONJ
ejpam-3009	85	11	2	2	NUM
ejpam-3009	85	12	(	(	PUNCT
ejpam-3009	85	13	n	n	NOUN
ejpam-3009	85	14	1	1	NUM
ejpam-3009	85	15	)	)	PUNCT
ejpam-3009	85	16	(	(	PUNCT
ejpam-3009	85	17	n−	n−	NOUN
ejpam-3009	85	18	1	1	NUM
ejpam-3009	85	19	)	)	PUNCT
ejpam-3009	85	20	+	+	CCONJ
ejpam-3009	85	21	(	(	PUNCT
ejpam-3009	85	22	n	n	PRON
ejpam-3009	85	23	2	2	NUM
ejpam-3009	85	24	)	)	PUNCT
ejpam-3009	85	25	n+	n+	PUNCT
ejpam-3009	85	26	(	(	PUNCT
ejpam-3009	85	27	n	n	NOUN
ejpam-3009	85	28	3	3	NUM
ejpam-3009	85	29	)	)	PUNCT
ejpam-3009	85	30	(	(	PUNCT
ejpam-3009	85	31	n−	n−	NOUN
ejpam-3009	85	32	1	1	NUM
ejpam-3009	85	33	)	)	PUNCT
ejpam-3009	85	34	+	+	CCONJ
ejpam-3009	85	35	2	2	NUM
ejpam-3009	85	36	(	(	PUNCT
ejpam-3009	85	37	n	n	NOUN
ejpam-3009	85	38	2	2	NUM
ejpam-3009	85	39	)	)	PUNCT
ejpam-3009	85	40	(	(	PUNCT
ejpam-3009	85	41	n−	n−	NOUN
ejpam-3009	85	42	2	2	NUM
ejpam-3009	85	43	)	)	PUNCT
ejpam-3009	85	44	+	+	CCONJ
ejpam-3009	85	45	.	.	PUNCT
ejpam-3009	85	46	.	.	PUNCT
ejpam-3009	86	1	.+	.+	NOUN
ejpam-3009	86	2	2	2	NUM
ejpam-3009	86	3	(	(	PUNCT
ejpam-3009	86	4	n	n	NUM
ejpam-3009	86	5	n−	n−	NOUN
ejpam-3009	86	6	1	1	NUM
ejpam-3009	86	7	)	)	PUNCT
ejpam-3009	86	8	(	(	PUNCT
ejpam-3009	86	9	n−	n−	NOUN
ejpam-3009	86	10	n−	n−	NOUN
ejpam-3009	86	11	1	1	NUM
ejpam-3009	86	12	)	)	PUNCT
ejpam-3009	86	13	=	=	SYM
ejpam-3009	86	14	2	2	NUM
ejpam-3009	86	15	+	+	CCONJ
ejpam-3009	86	16	(	(	PUNCT
ejpam-3009	86	17	n	n	ADV
ejpam-3009	86	18	1	1	NUM
ejpam-3009	86	19	)	)	PUNCT
ejpam-3009	86	20	+	+	CCONJ
ejpam-3009	86	21	2	2	NUM
ejpam-3009	86	22	(	(	PUNCT
ejpam-3009	86	23	n	n	NOUN
ejpam-3009	86	24	1	1	NUM
ejpam-3009	86	25	)	)	PUNCT
ejpam-3009	86	26	+	+	CCONJ
ejpam-3009	86	27	(	(	PUNCT
ejpam-3009	86	28	n	n	ADV
ejpam-3009	86	29	1	1	NUM
ejpam-3009	86	30	)	)	PUNCT
ejpam-3009	86	31	(	(	PUNCT
ejpam-3009	86	32	n+	n+	NUM
ejpam-3009	86	33	2−	2−	NUM
ejpam-3009	86	34	1	1	NUM
ejpam-3009	86	35	)	)	PUNCT
ejpam-3009	86	36	+2	+2	PROPN
ejpam-3009	86	37	(	(	PUNCT
ejpam-3009	86	38	n	n	NOUN
ejpam-3009	86	39	1	1	NUM
ejpam-3009	86	40	)	)	PUNCT
ejpam-3009	86	41	(	(	PUNCT
ejpam-3009	86	42	n−	n−	NOUN
ejpam-3009	86	43	1	1	NUM
ejpam-3009	86	44	)	)	PUNCT
ejpam-3009	86	45	+	+	CCONJ
ejpam-3009	86	46	(	(	PUNCT
ejpam-3009	86	47	n	n	ADV
ejpam-3009	86	48	2	2	NUM
ejpam-3009	86	49	)	)	PUNCT
ejpam-3009	86	50	(	(	PUNCT
ejpam-3009	86	51	n+	n+	NUM
ejpam-3009	86	52	2−	2−	NUM
ejpam-3009	86	53	2	2	NUM
ejpam-3009	86	54	)	)	PUNCT
ejpam-3009	86	55	+	+	CCONJ
ejpam-3009	86	56	2	2	NUM
ejpam-3009	86	57	(	(	PUNCT
ejpam-3009	86	58	n	n	NOUN
ejpam-3009	86	59	2	2	NUM
ejpam-3009	86	60	)	)	PUNCT
ejpam-3009	86	61	(	(	PUNCT
ejpam-3009	86	62	n−	n−	NOUN
ejpam-3009	86	63	2	2	NUM
ejpam-3009	86	64	)	)	PUNCT
ejpam-3009	86	65	+	+	CCONJ
ejpam-3009	86	66	(	(	PUNCT
ejpam-3009	86	67	n	n	PROPN
ejpam-3009	86	68	3	3	NUM
ejpam-3009	86	69	)	)	PUNCT
ejpam-3009	86	70	(	(	PUNCT
ejpam-3009	86	71	n+	n+	NUM
ejpam-3009	86	72	2−	2−	NUM
ejpam-3009	86	73	3	3	NUM
ejpam-3009	86	74	)	)	PUNCT
ejpam-3009	86	75	+	+	CCONJ
ejpam-3009	86	76	.	.	PUNCT
ejpam-3009	86	77	.	.	PUNCT
ejpam-3009	87	1	.+	.+	NOUN
ejpam-3009	87	2	2	2	NUM
ejpam-3009	87	3	(	(	PUNCT
ejpam-3009	87	4	n	n	NUM
ejpam-3009	87	5	n−	n−	NOUN
ejpam-3009	87	6	1	1	NUM
ejpam-3009	87	7	)	)	PUNCT
ejpam-3009	87	8	(	(	PUNCT
ejpam-3009	87	9	n−	n−	NOUN
ejpam-3009	87	10	n−	n−	NOUN
ejpam-3009	87	11	1	1	NUM
ejpam-3009	87	12	)	)	PUNCT
ejpam-3009	87	13	(	(	PUNCT
ejpam-3009	87	14	6	6	NUM
ejpam-3009	87	15	)	)	PUNCT
ejpam-3009	87	16	a3	a3	NOUN
ejpam-3009	87	17	=	=	PUNCT
ejpam-3009	87	18	the	the	DET
ejpam-3009	87	19	number	number	NOUN
ejpam-3009	87	20	of	of	ADP
ejpam-3009	87	21	4	4	NUM
ejpam-3009	87	22	-	-	PUNCT
ejpam-3009	87	23	element	element	NOUN
ejpam-3009	87	24	sublattices	sublattice	NOUN
ejpam-3009	87	25	.	.	PUNCT
ejpam-3009	88	1	the	the	DET
ejpam-3009	88	2	number	number	NOUN
ejpam-3009	88	3	of	of	ADP
ejpam-3009	88	4	4	4	NUM
ejpam-3009	88	5	-	-	PUNCT
ejpam-3009	88	6	element	element	NOUN
ejpam-3009	88	7	sublattices	sublattice	NOUN
ejpam-3009	88	8	from	from	ADP
ejpam-3009	88	9	0	0	NUM
ejpam-3009	88	10	=	=	SYM
ejpam-3009	88	11	2	2	NUM
ejpam-3009	88	12	(	(	PUNCT
ejpam-3009	88	13	n	n	NOUN
ejpam-3009	88	14	1	1	NUM
ejpam-3009	88	15	)	)	PUNCT
ejpam-3009	88	16	+	+	CCONJ
ejpam-3009	88	17	(	(	PUNCT
ejpam-3009	88	18	n	n	ADV
ejpam-3009	88	19	2	2	NUM
ejpam-3009	88	20	)	)	PUNCT
ejpam-3009	88	21	.	.	PUNCT
ejpam-3009	89	1	(	(	PUNCT
ejpam-3009	89	2	7	7	X
ejpam-3009	89	3	)	)	PUNCT
ejpam-3009	89	4	fix	fix	VERB
ejpam-3009	89	5	an	an	DET
ejpam-3009	89	6	atom	atom	NOUN
ejpam-3009	89	7	a	a	DET
ejpam-3009	89	8	∈	∈	NOUN
ejpam-3009	89	9	s(bn	s(bn	NOUN
ejpam-3009	89	10	)	)	PUNCT
ejpam-3009	89	11	.	.	PUNCT
ejpam-3009	90	1	if	if	SCONJ
ejpam-3009	90	2	a	a	PRON
ejpam-3009	90	3	is	be	AUX
ejpam-3009	90	4	the	the	DET
ejpam-3009	90	5	bottom	bottom	ADJ
ejpam-3009	90	6	element	element	NOUN
ejpam-3009	90	7	of	of	ADP
ejpam-3009	90	8	the	the	DET
ejpam-3009	90	9	left	left	ADJ
ejpam-3009	90	10	copy	copy	NOUN
ejpam-3009	90	11	of	of	ADP
ejpam-3009	90	12	s(bn	s(bn	NOUN
ejpam-3009	90	13	)	)	PUNCT
ejpam-3009	90	14	then	then	ADV
ejpam-3009	90	15	[	[	X
ejpam-3009	90	16	a	a	X
ejpam-3009	90	17	,	,	PUNCT
ejpam-3009	90	18	1	1	NUM
ejpam-3009	90	19	]	]	PUNCT
ejpam-3009	90	20	'	'	PUNCT
ejpam-3009	90	21	bn	bn	NOUN
ejpam-3009	90	22	.	.	PUNCT
ejpam-3009	91	1	therefore	therefore	ADV
ejpam-3009	91	2	the	the	DET
ejpam-3009	91	3	number	number	NOUN
ejpam-3009	91	4	of	of	ADP
ejpam-3009	91	5	b2	b2	NOUN
ejpam-3009	91	6	’s	’s	PART
ejpam-3009	91	7	containing	contain	VERB
ejpam-3009	91	8	a	a	PRON
ejpam-3009	91	9	is	be	AUX
ejpam-3009	91	10	(	(	PUNCT
ejpam-3009	91	11	n	n	NOUN
ejpam-3009	91	12	2	2	NUM
ejpam-3009	91	13	)	)	PUNCT
ejpam-3009	91	14	.	.	PUNCT
ejpam-3009	92	1	similarly	similarly	ADV
ejpam-3009	92	2	the	the	DET
ejpam-3009	92	3	number	number	NOUN
ejpam-3009	92	4	of	of	ADP
ejpam-3009	92	5	b2	b2	NOUN
ejpam-3009	92	6	’s	’s	PART
ejpam-3009	92	7	containing	contain	VERB
ejpam-3009	92	8	the	the	DET
ejpam-3009	92	9	bottom	bottom	ADJ
ejpam-3009	92	10	element	element	NOUN
ejpam-3009	92	11	of	of	ADP
ejpam-3009	92	12	the	the	DET
ejpam-3009	92	13	right	right	ADJ
ejpam-3009	92	14	copy	copy	NOUN
ejpam-3009	92	15	is	be	AUX
ejpam-3009	92	16	(	(	PUNCT
ejpam-3009	92	17	n	n	PROPN
ejpam-3009	92	18	2	2	NUM
ejpam-3009	92	19	)	)	PUNCT
ejpam-3009	92	20	.	.	PUNCT
ejpam-3009	93	1	if	if	SCONJ
ejpam-3009	93	2	a	a	PRON
ejpam-3009	93	3	is	be	AUX
ejpam-3009	93	4	in	in	ADP
ejpam-3009	93	5	the	the	DET
ejpam-3009	93	6	middle	middle	ADJ
ejpam-3009	93	7	copy	copy	NOUN
ejpam-3009	93	8	of	of	ADP
ejpam-3009	93	9	s(bn	s(bn	NOUN
ejpam-3009	93	10	)	)	PUNCT
ejpam-3009	93	11	then	then	ADV
ejpam-3009	93	12	[	[	X
ejpam-3009	93	13	a	a	X
ejpam-3009	93	14	,	,	PUNCT
ejpam-3009	93	15	1	1	NUM
ejpam-3009	93	16	]	]	PUNCT
ejpam-3009	93	17	'	'	PUNCT
ejpam-3009	93	18	s(bn−1	s(bn−1	NOUN
ejpam-3009	93	19	)	)	PUNCT
ejpam-3009	93	20	.	.	PUNCT
ejpam-3009	94	1	in	in	ADP
ejpam-3009	94	2	this	this	DET
ejpam-3009	94	3	s(bn−1	s(bn−1	PROPN
ejpam-3009	94	4	)	)	PUNCT
ejpam-3009	94	5	,	,	PUNCT
ejpam-3009	94	6	we	we	PRON
ejpam-3009	94	7	have	have	VERB
ejpam-3009	94	8	two	two	NUM
ejpam-3009	94	9	extreme	extreme	ADJ
ejpam-3009	94	10	copies	copy	NOUN
ejpam-3009	94	11	and	and	CCONJ
ejpam-3009	94	12	a	a	DET
ejpam-3009	94	13	middle	middle	ADJ
ejpam-3009	94	14	copy	copy	NOUN
ejpam-3009	94	15	.	.	PUNCT
ejpam-3009	95	1	therefore	therefore	ADV
ejpam-3009	95	2	the	the	DET
ejpam-3009	95	3	number	number	NOUN
ejpam-3009	95	4	of	of	ADP
ejpam-3009	95	5	b2	b2	NOUN
ejpam-3009	95	6	’s	’s	PART
ejpam-3009	95	7	containing	contain	VERB
ejpam-3009	95	8	a	a	PRON
ejpam-3009	95	9	is	be	AUX
ejpam-3009	95	10	2(n−	2(n−	NUM
ejpam-3009	95	11	1	1	NUM
ejpam-3009	95	12	)	)	PUNCT
ejpam-3009	96	1	+	+	CCONJ
ejpam-3009	96	2	(	(	PUNCT
ejpam-3009	96	3	n−	n−	NOUN
ejpam-3009	96	4	1	1	NUM
ejpam-3009	96	5	2	2	NUM
ejpam-3009	96	6	)	)	PUNCT
ejpam-3009	96	7	.	.	PUNCT
ejpam-3009	97	1	there	there	PRON
ejpam-3009	97	2	are	be	VERB
ejpam-3009	97	3	(	(	PUNCT
ejpam-3009	97	4	n	n	ADV
ejpam-3009	97	5	1	1	NUM
ejpam-3009	97	6	)	)	PUNCT
ejpam-3009	97	7	such	such	ADJ
ejpam-3009	97	8	atoms	atom	NOUN
ejpam-3009	97	9	.	.	PUNCT
ejpam-3009	98	1	therefore	therefore	ADV
ejpam-3009	98	2	the	the	DET
ejpam-3009	98	3	total	total	ADJ
ejpam-3009	98	4	number	number	NOUN
ejpam-3009	98	5	of	of	ADP
ejpam-3009	98	6	b2	b2	NOUN
ejpam-3009	98	7	’s	’s	PART
ejpam-3009	98	8	containing	contain	VERB
ejpam-3009	98	9	all	all	DET
ejpam-3009	98	10	the	the	DET
ejpam-3009	98	11	atoms	atom	NOUN
ejpam-3009	98	12	in	in	ADP
ejpam-3009	98	13	the	the	DET
ejpam-3009	98	14	middle	middle	ADJ
ejpam-3009	98	15	copy	copy	NOUN
ejpam-3009	98	16	is	be	AUX
ejpam-3009	98	17	(	(	PUNCT
ejpam-3009	98	18	n	n	ADV
ejpam-3009	98	19	1	1	NUM
ejpam-3009	98	20	)	)	PUNCT
ejpam-3009	98	21	[	[	PUNCT
ejpam-3009	98	22	2(n−	2(n−	NUM
ejpam-3009	98	23	1	1	NUM
ejpam-3009	98	24	)	)	PUNCT
ejpam-3009	98	25	+	+	CCONJ
ejpam-3009	98	26	(	(	PUNCT
ejpam-3009	98	27	n−	n−	NOUN
ejpam-3009	98	28	1	1	NUM
ejpam-3009	98	29	2	2	NUM
ejpam-3009	98	30	)	)	PUNCT
ejpam-3009	98	31	]	]	PUNCT
ejpam-3009	98	32	.	.	PUNCT
ejpam-3009	99	1	therefore	therefore	ADV
ejpam-3009	99	2	the	the	DET
ejpam-3009	99	3	number	number	NOUN
ejpam-3009	99	4	of	of	ADP
ejpam-3009	99	5	b2	b2	NOUN
ejpam-3009	99	6	’s	’s	PART
ejpam-3009	99	7	containing	contain	VERB
ejpam-3009	99	8	all	all	DET
ejpam-3009	99	9	the	the	DET
ejpam-3009	99	10	atoms	atom	NOUN
ejpam-3009	99	11	of	of	ADP
ejpam-3009	99	12	s(bn	s(bn	NOUN
ejpam-3009	99	13	)	)	PUNCT
ejpam-3009	99	14	is	be	AUX
ejpam-3009	99	15	2	2	NUM
ejpam-3009	99	16	(	(	PUNCT
ejpam-3009	99	17	n	n	NOUN
ejpam-3009	99	18	2	2	NUM
ejpam-3009	99	19	)	)	PUNCT
ejpam-3009	100	1	+	+	CCONJ
ejpam-3009	100	2	(	(	PUNCT
ejpam-3009	100	3	n	n	ADV
ejpam-3009	100	4	1	1	NUM
ejpam-3009	100	5	)	)	PUNCT
ejpam-3009	100	6	[	[	PUNCT
ejpam-3009	100	7	2(n−	2(n−	NUM
ejpam-3009	100	8	1	1	NUM
ejpam-3009	100	9	)	)	PUNCT
ejpam-3009	100	10	+	+	CCONJ
ejpam-3009	100	11	(	(	PUNCT
ejpam-3009	100	12	n−	n−	NOUN
ejpam-3009	100	13	1	1	NUM
ejpam-3009	100	14	2	2	NUM
ejpam-3009	100	15	)	)	PUNCT
ejpam-3009	100	16	]	]	PUNCT
ejpam-3009	100	17	.	.	PUNCT
ejpam-3009	101	1	(	(	PUNCT
ejpam-3009	101	2	8)	8)	NUM
ejpam-3009	101	3	fix	fix	VERB
ejpam-3009	101	4	a	a	DET
ejpam-3009	101	5	rank	rank	NOUN
ejpam-3009	101	6	2	2	NUM
ejpam-3009	101	7	element	element	NOUN
ejpam-3009	101	8	x	x	NOUN
ejpam-3009	101	9	in	in	ADP
ejpam-3009	101	10	s(bn	s(bn	NOUN
ejpam-3009	101	11	)	)	PUNCT
ejpam-3009	101	12	.	.	PUNCT
ejpam-3009	102	1	if	if	SCONJ
ejpam-3009	102	2	x	x	PRON
ejpam-3009	102	3	is	be	AUX
ejpam-3009	102	4	in	in	ADP
ejpam-3009	102	5	the	the	DET
ejpam-3009	102	6	left	left	ADJ
ejpam-3009	102	7	copy	copy	NOUN
ejpam-3009	102	8	of	of	ADP
ejpam-3009	102	9	s(bn	s(bn	NOUN
ejpam-3009	102	10	)	)	PUNCT
ejpam-3009	102	11	,	,	PUNCT
ejpam-3009	102	12	we	we	PRON
ejpam-3009	102	13	have	have	VERB
ejpam-3009	102	14	,	,	PUNCT
ejpam-3009	102	15	[	[	X
ejpam-3009	102	16	x	x	X
ejpam-3009	102	17	,	,	PUNCT
ejpam-3009	102	18	1	1	NUM
ejpam-3009	102	19	]	]	PUNCT
ejpam-3009	102	20	'	'	PUNCT
ejpam-3009	102	21	bn−1	bn−1	NOUN
ejpam-3009	102	22	.	.	PUNCT
ejpam-3009	103	1	g.	g.	PROPN
ejpam-3009	103	2	sheeba	sheeba	PROPN
ejpam-3009	103	3	merlin	merlin	PROPN
ejpam-3009	103	4	,	,	PUNCT
ejpam-3009	103	5	a.	a.	NOUN
ejpam-3009	103	6	vethamanickam	vethamanickam	PROPN
ejpam-3009	103	7	/	/	SYM
ejpam-3009	103	8	eur	eur	PROPN
ejpam-3009	103	9	.	.	PUNCT
ejpam-3009	104	1	j.	j.	PROPN
ejpam-3009	104	2	pure	pure	PROPN
ejpam-3009	104	3	appl	appl	PROPN
ejpam-3009	104	4	.	.	PROPN
ejpam-3009	104	5	math	math	PROPN
ejpam-3009	104	6	,	,	PUNCT
ejpam-3009	104	7	10	10	NUM
ejpam-3009	104	8	(	(	PUNCT
ejpam-3009	104	9	4	4	NUM
ejpam-3009	104	10	)	)	PUNCT
ejpam-3009	104	11	(	(	PUNCT
ejpam-3009	104	12	2017	2017	NUM
ejpam-3009	104	13	)	)	PUNCT
ejpam-3009	104	14	,	,	PUNCT
ejpam-3009	104	15	916	916	NUM
ejpam-3009	104	16	-	-	SYM
ejpam-3009	104	17	928	928	NUM
ejpam-3009	104	18	922	922	NUM
ejpam-3009	104	19	a	a	DET
ejpam-3009	104	20	b2	b2	NOUN
ejpam-3009	104	21	containing	contain	VERB
ejpam-3009	104	22	x	x	SYM
ejpam-3009	104	23	emanates	emanate	VERB
ejpam-3009	104	24	from	from	ADP
ejpam-3009	104	25	a	a	DET
ejpam-3009	104	26	rank	rank	NOUN
ejpam-3009	104	27	2	2	NUM
ejpam-3009	104	28	element	element	NOUN
ejpam-3009	104	29	in	in	ADP
ejpam-3009	104	30	that	that	DET
ejpam-3009	104	31	bn−1	bn−1	NOUN
ejpam-3009	104	32	.	.	PUNCT
ejpam-3009	105	1	there	there	PRON
ejpam-3009	105	2	are	be	VERB
ejpam-3009	105	3	(	(	PUNCT
ejpam-3009	105	4	n−	n−	NOUN
ejpam-3009	105	5	1	1	NUM
ejpam-3009	105	6	2	2	NUM
ejpam-3009	105	7	)	)	PUNCT
ejpam-3009	105	8	rank	rank	NOUN
ejpam-3009	105	9	2	2	NUM
ejpam-3009	105	10	elements	element	NOUN
ejpam-3009	105	11	in	in	ADP
ejpam-3009	105	12	bn−1	bn−1	NOUN
ejpam-3009	105	13	.	.	PUNCT
ejpam-3009	106	1	therefore	therefore	ADV
ejpam-3009	106	2	the	the	DET
ejpam-3009	106	3	number	number	NOUN
ejpam-3009	106	4	of	of	ADP
ejpam-3009	106	5	b2	b2	NOUN
ejpam-3009	106	6	’s	’s	PART
ejpam-3009	106	7	containing	contain	VERB
ejpam-3009	106	8	x	x	PUNCT
ejpam-3009	106	9	in	in	ADP
ejpam-3009	106	10	the	the	DET
ejpam-3009	106	11	left	left	ADJ
ejpam-3009	106	12	copy	copy	NOUN
ejpam-3009	106	13	is	be	AUX
ejpam-3009	106	14	(	(	PUNCT
ejpam-3009	106	15	n−	n−	NOUN
ejpam-3009	106	16	1	1	NUM
ejpam-3009	106	17	2	2	NUM
ejpam-3009	106	18	)	)	PUNCT
ejpam-3009	106	19	.	.	PUNCT
ejpam-3009	107	1	there	there	PRON
ejpam-3009	107	2	are	be	VERB
ejpam-3009	107	3	n	n	DET
ejpam-3009	107	4	such	such	ADJ
ejpam-3009	107	5	rank	rank	NOUN
ejpam-3009	107	6	2	2	NUM
ejpam-3009	107	7	elements	element	NOUN
ejpam-3009	107	8	x	x	PUNCT
ejpam-3009	107	9	in	in	ADP
ejpam-3009	107	10	the	the	DET
ejpam-3009	107	11	left	left	ADJ
ejpam-3009	107	12	copy	copy	NOUN
ejpam-3009	107	13	.	.	PUNCT
ejpam-3009	108	1	the	the	DET
ejpam-3009	108	2	number	number	NOUN
ejpam-3009	108	3	of	of	ADP
ejpam-3009	108	4	b2	b2	NOUN
ejpam-3009	108	5	’s	’s	NOUN
ejpam-3009	108	6	in	in	ADP
ejpam-3009	108	7	the	the	DET
ejpam-3009	108	8	left	left	ADJ
ejpam-3009	108	9	copy	copy	NOUN
ejpam-3009	108	10	containing	contain	VERB
ejpam-3009	108	11	all	all	DET
ejpam-3009	108	12	the	the	DET
ejpam-3009	108	13	rank	rank	NOUN
ejpam-3009	108	14	2	2	NUM
ejpam-3009	108	15	elements	element	NOUN
ejpam-3009	108	16	is	be	AUX
ejpam-3009	108	17	(	(	PUNCT
ejpam-3009	108	18	n−	n−	NOUN
ejpam-3009	108	19	1	1	NUM
ejpam-3009	108	20	2	2	NUM
ejpam-3009	108	21	)	)	PUNCT
ejpam-3009	108	22	n.	n.	NOUN
ejpam-3009	109	1	similarly	similarly	ADV
ejpam-3009	109	2	the	the	DET
ejpam-3009	109	3	same	same	ADJ
ejpam-3009	109	4	number	number	NOUN
ejpam-3009	109	5	in	in	ADP
ejpam-3009	109	6	the	the	DET
ejpam-3009	109	7	right	right	ADJ
ejpam-3009	109	8	copy	copy	NOUN
ejpam-3009	109	9	.	.	PUNCT
ejpam-3009	110	1	if	if	SCONJ
ejpam-3009	110	2	x	x	PRON
ejpam-3009	110	3	is	be	AUX
ejpam-3009	110	4	in	in	ADP
ejpam-3009	110	5	the	the	DET
ejpam-3009	110	6	middle	middle	ADJ
ejpam-3009	110	7	copy	copy	NOUN
ejpam-3009	110	8	of	of	ADP
ejpam-3009	110	9	s(bn	s(bn	NOUN
ejpam-3009	110	10	)	)	PUNCT
ejpam-3009	110	11	,	,	PUNCT
ejpam-3009	110	12	then	then	ADV
ejpam-3009	110	13	[	[	X
ejpam-3009	110	14	x	x	X
ejpam-3009	110	15	,	,	PUNCT
ejpam-3009	110	16	1	1	NUM
ejpam-3009	110	17	]	]	SYM
ejpam-3009	110	18	'	'	PUNCT
ejpam-3009	110	19	s(bn−2	s(bn−2	PROPN
ejpam-3009	110	20	)	)	PUNCT
ejpam-3009	110	21	.	.	PUNCT
ejpam-3009	111	1	the	the	DET
ejpam-3009	111	2	number	number	NOUN
ejpam-3009	111	3	of	of	ADP
ejpam-3009	111	4	b2	b2	NOUN
ejpam-3009	111	5	’s	’s	PART
ejpam-3009	111	6	containing	contain	VERB
ejpam-3009	111	7	x	x	PUNCT
ejpam-3009	111	8	in	in	ADP
ejpam-3009	111	9	the	the	DET
ejpam-3009	111	10	left	left	ADJ
ejpam-3009	111	11	copy	copy	NOUN
ejpam-3009	111	12	of	of	ADP
ejpam-3009	111	13	that	that	DET
ejpam-3009	111	14	s(bn−2	s(bn−2	PROPN
ejpam-3009	111	15	)	)	PUNCT
ejpam-3009	111	16	is	be	AUX
ejpam-3009	111	17	n	n	PRON
ejpam-3009	111	18	−	−	PROPN
ejpam-3009	111	19	2	2	NUM
ejpam-3009	111	20	.	.	X
ejpam-3009	112	1	similarly	similarly	ADV
ejpam-3009	112	2	the	the	DET
ejpam-3009	112	3	number	number	NOUN
ejpam-3009	112	4	in	in	ADP
ejpam-3009	112	5	the	the	DET
ejpam-3009	112	6	right	right	ADJ
ejpam-3009	112	7	copy	copy	NOUN
ejpam-3009	112	8	is	be	AUX
ejpam-3009	112	9	n−	n−	NOUN
ejpam-3009	112	10	2	2	NUM
ejpam-3009	112	11	.	.	PUNCT
ejpam-3009	113	1	come	come	VERB
ejpam-3009	113	2	to	to	ADP
ejpam-3009	113	3	the	the	DET
ejpam-3009	113	4	middle	middle	PROPN
ejpam-3009	113	5	copy	copy	NOUN
ejpam-3009	113	6	'	'	PART
ejpam-3009	113	7	bn−2	bn−2	PROPN
ejpam-3009	113	8	.	.	PUNCT
ejpam-3009	114	1	therefore	therefore	ADV
ejpam-3009	114	2	the	the	DET
ejpam-3009	114	3	number	number	NOUN
ejpam-3009	114	4	of	of	ADP
ejpam-3009	114	5	b2	b2	NOUN
ejpam-3009	114	6	’s	’s	PART
ejpam-3009	114	7	containing	contain	VERB
ejpam-3009	114	8	x	x	PUNCT
ejpam-3009	114	9	in	in	ADP
ejpam-3009	114	10	the	the	DET
ejpam-3009	114	11	middle	middle	ADJ
ejpam-3009	114	12	copy	copy	NOUN
ejpam-3009	114	13	of	of	ADP
ejpam-3009	114	14	that	that	DET
ejpam-3009	114	15	s(bn−2	s(bn−2	NOUN
ejpam-3009	114	16	)	)	PUNCT
ejpam-3009	114	17	is	be	AUX
ejpam-3009	114	18	(	(	PUNCT
ejpam-3009	114	19	n−	n−	NOUN
ejpam-3009	114	20	2	2	NUM
ejpam-3009	114	21	2	2	NUM
ejpam-3009	114	22	)	)	PUNCT
ejpam-3009	114	23	.	.	PUNCT
ejpam-3009	115	1	therefore	therefore	ADV
ejpam-3009	115	2	the	the	DET
ejpam-3009	115	3	total	total	ADJ
ejpam-3009	115	4	number	number	NOUN
ejpam-3009	115	5	of	of	ADP
ejpam-3009	115	6	b2	b2	NOUN
ejpam-3009	115	7	’s	’s	PART
ejpam-3009	115	8	containing	contain	VERB
ejpam-3009	115	9	x	x	PUNCT
ejpam-3009	115	10	in	in	ADP
ejpam-3009	115	11	this	this	DET
ejpam-3009	115	12	s(bn−2	s(bn−2	NOUN
ejpam-3009	115	13	)	)	PUNCT
ejpam-3009	115	14	is	be	AUX
ejpam-3009	115	15	2(n−2)+	2(n−2)+	NUM
ejpam-3009	115	16	(	(	PUNCT
ejpam-3009	115	17	n−	n−	NOUN
ejpam-3009	115	18	2	2	NUM
ejpam-3009	115	19	2	2	NUM
ejpam-3009	115	20	)	)	PUNCT
ejpam-3009	115	21	.	.	PUNCT
ejpam-3009	116	1	there	there	PRON
ejpam-3009	116	2	are	be	VERB
ejpam-3009	116	3	(	(	PUNCT
ejpam-3009	116	4	n	n	ADV
ejpam-3009	116	5	2	2	NUM
ejpam-3009	116	6	)	)	PUNCT
ejpam-3009	116	7	such	such	DET
ejpam-3009	116	8	x	x	NOUN
ejpam-3009	116	9	’s	’s	NOUN
ejpam-3009	116	10	.	.	PUNCT
ejpam-3009	117	1	therefore	therefore	ADV
ejpam-3009	117	2	the	the	DET
ejpam-3009	117	3	total	total	ADJ
ejpam-3009	117	4	number	number	NOUN
ejpam-3009	117	5	of	of	ADP
ejpam-3009	117	6	b2	b2	NOUN
ejpam-3009	117	7	’s	’s	PART
ejpam-3009	117	8	containing	contain	VERB
ejpam-3009	117	9	all	all	DET
ejpam-3009	117	10	the	the	DET
ejpam-3009	117	11	rank	rank	NOUN
ejpam-3009	117	12	2	2	NUM
ejpam-3009	117	13	elements	element	NOUN
ejpam-3009	117	14	in	in	ADP
ejpam-3009	117	15	the	the	DET
ejpam-3009	117	16	middle	middle	ADJ
ejpam-3009	117	17	copy	copy	NOUN
ejpam-3009	117	18	is	be	AUX
ejpam-3009	117	19	(	(	PUNCT
ejpam-3009	117	20	n	n	ADV
ejpam-3009	117	21	2	2	NUM
ejpam-3009	117	22	)	)	PUNCT
ejpam-3009	117	23	[	[	PUNCT
ejpam-3009	117	24	2(n−	2(n−	NUM
ejpam-3009	117	25	2	2	NUM
ejpam-3009	117	26	)	)	PUNCT
ejpam-3009	117	27	+	+	CCONJ
ejpam-3009	117	28	(	(	PUNCT
ejpam-3009	117	29	n−	n−	NOUN
ejpam-3009	117	30	2	2	NUM
ejpam-3009	117	31	2	2	NUM
ejpam-3009	117	32	)	)	PUNCT
ejpam-3009	117	33	]	]	PUNCT
ejpam-3009	118	1	+	+	CCONJ
ejpam-3009	118	2	2	2	NUM
ejpam-3009	118	3	(	(	PUNCT
ejpam-3009	118	4	n	n	NOUN
ejpam-3009	118	5	1	1	NUM
ejpam-3009	118	6	)	)	PUNCT
ejpam-3009	118	7	(	(	PUNCT
ejpam-3009	118	8	n−	n−	NOUN
ejpam-3009	118	9	1	1	NUM
ejpam-3009	118	10	2	2	NUM
ejpam-3009	118	11	)	)	PUNCT
ejpam-3009	118	12	.	.	PUNCT
ejpam-3009	119	1	(	(	PUNCT
ejpam-3009	119	2	9	9	X
ejpam-3009	119	3	)	)	PUNCT
ejpam-3009	119	4	fix	fix	VERB
ejpam-3009	119	5	a	a	DET
ejpam-3009	119	6	rank	rank	NOUN
ejpam-3009	119	7	3	3	NUM
ejpam-3009	119	8	element	element	NOUN
ejpam-3009	119	9	x	x	X
ejpam-3009	119	10	of	of	ADP
ejpam-3009	119	11	s(bn	s(bn	NOUN
ejpam-3009	119	12	)	)	PUNCT
ejpam-3009	119	13	.	.	PUNCT
ejpam-3009	120	1	if	if	SCONJ
ejpam-3009	120	2	x	x	PRON
ejpam-3009	120	3	is	be	AUX
ejpam-3009	120	4	in	in	ADP
ejpam-3009	120	5	the	the	DET
ejpam-3009	120	6	left	left	ADJ
ejpam-3009	120	7	copy	copy	NOUN
ejpam-3009	120	8	of	of	ADP
ejpam-3009	120	9	s(bn	s(bn	NOUN
ejpam-3009	120	10	)	)	PUNCT
ejpam-3009	120	11	,	,	PUNCT
ejpam-3009	120	12	then	then	ADV
ejpam-3009	120	13	[	[	X
ejpam-3009	120	14	x	x	X
ejpam-3009	120	15	,	,	PUNCT
ejpam-3009	120	16	1	1	NUM
ejpam-3009	120	17	]	]	PUNCT
ejpam-3009	120	18	'	'	PUNCT
ejpam-3009	120	19	bn−2	bn−2	PROPN
ejpam-3009	120	20	.	.	PUNCT
ejpam-3009	121	1	a	a	DET
ejpam-3009	121	2	b2	b2	NOUN
ejpam-3009	121	3	containing	contain	VERB
ejpam-3009	121	4	x	x	AUX
ejpam-3009	121	5	emanates	emanate	VERB
ejpam-3009	121	6	from	from	ADP
ejpam-3009	121	7	a	a	DET
ejpam-3009	121	8	rank	rank	NOUN
ejpam-3009	121	9	4	4	NUM
ejpam-3009	121	10	element	element	NOUN
ejpam-3009	121	11	in	in	ADP
ejpam-3009	121	12	that	that	DET
ejpam-3009	121	13	bn−2	bn−2	NOUN
ejpam-3009	121	14	.	.	PUNCT
ejpam-3009	122	1	therefore	therefore	ADV
ejpam-3009	122	2	the	the	DET
ejpam-3009	122	3	number	number	NOUN
ejpam-3009	122	4	of	of	ADP
ejpam-3009	122	5	b2	b2	NOUN
ejpam-3009	122	6	’s	’s	PART
ejpam-3009	122	7	containing	contain	VERB
ejpam-3009	122	8	x	x	PUNCT
ejpam-3009	122	9	in	in	ADP
ejpam-3009	122	10	the	the	DET
ejpam-3009	122	11	left	left	ADJ
ejpam-3009	122	12	copy	copy	NOUN
ejpam-3009	122	13	of	of	ADP
ejpam-3009	122	14	s(bn	s(bn	NOUN
ejpam-3009	122	15	)	)	PUNCT
ejpam-3009	122	16	is	be	AUX
ejpam-3009	122	17	(	(	PUNCT
ejpam-3009	122	18	n	n	ADV
ejpam-3009	122	19	2	2	NUM
ejpam-3009	122	20	)	)	PUNCT
ejpam-3009	122	21	(	(	PUNCT
ejpam-3009	122	22	n−	n−	NOUN
ejpam-3009	122	23	2	2	NUM
ejpam-3009	122	24	2	2	NUM
ejpam-3009	122	25	)	)	PUNCT
ejpam-3009	122	26	.	.	PUNCT
ejpam-3009	123	1	similarly	similarly	ADV
ejpam-3009	123	2	to	to	ADP
ejpam-3009	123	3	the	the	DET
ejpam-3009	123	4	right	right	ADJ
ejpam-3009	123	5	copy	copy	NOUN
ejpam-3009	123	6	.	.	PUNCT
ejpam-3009	124	1	come	come	VERB
ejpam-3009	124	2	to	to	ADP
ejpam-3009	124	3	the	the	DET
ejpam-3009	124	4	middle	middle	ADJ
ejpam-3009	124	5	copy	copy	NOUN
ejpam-3009	124	6	.	.	PUNCT
ejpam-3009	125	1	if	if	SCONJ
ejpam-3009	125	2	x	x	PRON
ejpam-3009	125	3	is	be	AUX
ejpam-3009	125	4	in	in	ADP
ejpam-3009	125	5	the	the	DET
ejpam-3009	125	6	middle	middle	ADJ
ejpam-3009	125	7	copy	copy	NOUN
ejpam-3009	125	8	of	of	ADP
ejpam-3009	125	9	s(bn	s(bn	NOUN
ejpam-3009	125	10	)	)	PUNCT
ejpam-3009	125	11	,	,	PUNCT
ejpam-3009	125	12	then	then	ADV
ejpam-3009	125	13	∴	∴	PROPN
ejpam-3009	125	14	[	[	X
ejpam-3009	125	15	x	x	X
ejpam-3009	125	16	,	,	PUNCT
ejpam-3009	125	17	1	1	NUM
ejpam-3009	125	18	]	]	PUNCT
ejpam-3009	125	19	'	'	PUNCT
ejpam-3009	125	20	s(bn−3	s(bn−3	NUM
ejpam-3009	125	21	)	)	PUNCT
ejpam-3009	125	22	.	.	PUNCT
ejpam-3009	126	1	in	in	ADP
ejpam-3009	126	2	this	this	PRON
ejpam-3009	126	3	s(bn−3	s(bn−3	NUM
ejpam-3009	126	4	)	)	PUNCT
ejpam-3009	126	5	we	we	PRON
ejpam-3009	126	6	have	have	AUX
ejpam-3009	126	7	to	to	PART
ejpam-3009	126	8	calculate	calculate	VERB
ejpam-3009	126	9	the	the	DET
ejpam-3009	126	10	number	number	NOUN
ejpam-3009	126	11	of	of	ADP
ejpam-3009	126	12	b2	b2	NOUN
ejpam-3009	126	13	’s	’s	PART
ejpam-3009	126	14	containing	contain	VERB
ejpam-3009	126	15	x.	x.	NOUN
ejpam-3009	126	16	the	the	DET
ejpam-3009	126	17	number	number	NOUN
ejpam-3009	126	18	of	of	ADP
ejpam-3009	126	19	b2	b2	NOUN
ejpam-3009	126	20	’s	’s	PART
ejpam-3009	126	21	containing	contain	VERB
ejpam-3009	126	22	x	x	PUNCT
ejpam-3009	126	23	in	in	ADP
ejpam-3009	126	24	the	the	DET
ejpam-3009	126	25	left	left	ADJ
ejpam-3009	126	26	copy	copy	NOUN
ejpam-3009	126	27	of	of	ADP
ejpam-3009	126	28	s(bn−3	s(bn−3	NUM
ejpam-3009	126	29	)	)	PUNCT
ejpam-3009	126	30	is	be	AUX
ejpam-3009	126	31	n−	n−	NOUN
ejpam-3009	126	32	3	3	NUM
ejpam-3009	126	33	.	.	PUNCT
ejpam-3009	127	1	similarly	similarly	ADV
ejpam-3009	127	2	the	the	DET
ejpam-3009	127	3	number	number	NOUN
ejpam-3009	127	4	in	in	ADP
ejpam-3009	127	5	the	the	DET
ejpam-3009	127	6	right	right	ADJ
ejpam-3009	127	7	copy	copy	NOUN
ejpam-3009	127	8	of	of	ADP
ejpam-3009	127	9	this	this	PRON
ejpam-3009	127	10	s(bn−3	s(bn−3	NUM
ejpam-3009	127	11	)	)	PUNCT
ejpam-3009	127	12	is	be	AUX
ejpam-3009	127	13	n−	n−	NOUN
ejpam-3009	127	14	3	3	NUM
ejpam-3009	127	15	.	.	PUNCT
ejpam-3009	128	1	the	the	DET
ejpam-3009	128	2	number	number	NOUN
ejpam-3009	128	3	of	of	ADP
ejpam-3009	128	4	b2	b2	NOUN
ejpam-3009	128	5	’s	’s	PART
ejpam-3009	128	6	containing	contain	VERB
ejpam-3009	128	7	x	x	PUNCT
ejpam-3009	128	8	in	in	ADP
ejpam-3009	128	9	the	the	DET
ejpam-3009	128	10	middle	middle	ADJ
ejpam-3009	128	11	copy	copy	NOUN
ejpam-3009	128	12	of	of	ADP
ejpam-3009	128	13	this	this	PRON
ejpam-3009	128	14	s(bn−3	s(bn−3	NUM
ejpam-3009	128	15	)	)	PUNCT
ejpam-3009	128	16	is	be	AUX
ejpam-3009	128	17	(	(	PUNCT
ejpam-3009	128	18	n−	n−	NOUN
ejpam-3009	128	19	3	3	NUM
ejpam-3009	128	20	2	2	NUM
ejpam-3009	128	21	)	)	PUNCT
ejpam-3009	128	22	.	.	PUNCT
ejpam-3009	129	1	g.	g.	PROPN
ejpam-3009	129	2	sheeba	sheeba	PROPN
ejpam-3009	129	3	merlin	merlin	PROPN
ejpam-3009	129	4	,	,	PUNCT
ejpam-3009	129	5	a.	a.	NOUN
ejpam-3009	129	6	vethamanickam	vethamanickam	PROPN
ejpam-3009	129	7	/	/	SYM
ejpam-3009	129	8	eur	eur	PROPN
ejpam-3009	129	9	.	.	PUNCT
ejpam-3009	130	1	j.	j.	PROPN
ejpam-3009	130	2	pure	pure	PROPN
ejpam-3009	130	3	appl	appl	PROPN
ejpam-3009	130	4	.	.	PROPN
ejpam-3009	130	5	math	math	PROPN
ejpam-3009	130	6	,	,	PUNCT
ejpam-3009	130	7	10	10	NUM
ejpam-3009	130	8	(	(	PUNCT
ejpam-3009	130	9	4	4	NUM
ejpam-3009	130	10	)	)	PUNCT
ejpam-3009	130	11	(	(	PUNCT
ejpam-3009	130	12	2017	2017	NUM
ejpam-3009	130	13	)	)	PUNCT
ejpam-3009	130	14	,	,	PUNCT
ejpam-3009	130	15	916	916	NUM
ejpam-3009	130	16	-	-	SYM
ejpam-3009	130	17	928	928	NUM
ejpam-3009	130	18	923	923	NUM
ejpam-3009	130	19	therefore	therefore	ADV
ejpam-3009	130	20	,	,	PUNCT
ejpam-3009	130	21	the	the	DET
ejpam-3009	130	22	number	number	NOUN
ejpam-3009	130	23	of	of	ADP
ejpam-3009	130	24	b2	b2	NOUN
ejpam-3009	130	25	’s	’s	NOUN
ejpam-3009	130	26	in	in	ADP
ejpam-3009	130	27	this	this	DET
ejpam-3009	130	28	s(bn−2	s(bn−2	NOUN
ejpam-3009	130	29	)	)	PUNCT
ejpam-3009	130	30	containing	contain	VERB
ejpam-3009	130	31	x	x	SYM
ejpam-3009	130	32	is	be	AUX
ejpam-3009	130	33	2(n−	2(n−	NUM
ejpam-3009	130	34	3	3	NUM
ejpam-3009	130	35	)	)	PUNCT
ejpam-3009	130	36	+	+	CCONJ
ejpam-3009	130	37	(	(	PUNCT
ejpam-3009	130	38	n−	n−	NOUN
ejpam-3009	130	39	3	3	NUM
ejpam-3009	130	40	2	2	NUM
ejpam-3009	130	41	)	)	PUNCT
ejpam-3009	130	42	.	.	PUNCT
ejpam-3009	131	1	there	there	PRON
ejpam-3009	131	2	are	be	VERB
ejpam-3009	131	3	(	(	PUNCT
ejpam-3009	131	4	n	n	PROPN
ejpam-3009	131	5	3	3	NUM
ejpam-3009	131	6	)	)	PUNCT
ejpam-3009	131	7	such	such	ADJ
ejpam-3009	131	8	rank	rank	NOUN
ejpam-3009	131	9	3	3	NUM
ejpam-3009	131	10	elements	element	NOUN
ejpam-3009	131	11	in	in	ADP
ejpam-3009	131	12	x	x	PUNCT
ejpam-3009	131	13	in	in	ADP
ejpam-3009	131	14	the	the	DET
ejpam-3009	131	15	middle	middle	ADJ
ejpam-3009	131	16	copy	copy	NOUN
ejpam-3009	131	17	of	of	ADP
ejpam-3009	131	18	s(bn	s(bn	NOUN
ejpam-3009	131	19	)	)	PUNCT
ejpam-3009	131	20	.	.	PUNCT
ejpam-3009	132	1	therefore	therefore	ADV
ejpam-3009	132	2	the	the	DET
ejpam-3009	132	3	total	total	ADJ
ejpam-3009	132	4	number	number	NOUN
ejpam-3009	132	5	of	of	ADP
ejpam-3009	132	6	b2	b2	NOUN
ejpam-3009	132	7	’s	’s	PART
ejpam-3009	132	8	containing	contain	VERB
ejpam-3009	132	9	x	x	PUNCT
ejpam-3009	132	10	in	in	ADP
ejpam-3009	132	11	s(bn	s(bn	NOUN
ejpam-3009	132	12	)	)	PUNCT
ejpam-3009	132	13	is	be	AUX
ejpam-3009	132	14	(	(	PUNCT
ejpam-3009	132	15	n	n	ADV
ejpam-3009	132	16	3	3	NUM
ejpam-3009	132	17	)	)	PUNCT
ejpam-3009	132	18	[	[	PUNCT
ejpam-3009	132	19	2(n−	2(n−	NUM
ejpam-3009	132	20	3	3	NUM
ejpam-3009	132	21	)	)	PUNCT
ejpam-3009	132	22	+	+	CCONJ
ejpam-3009	132	23	(	(	PUNCT
ejpam-3009	132	24	n−	n−	NOUN
ejpam-3009	132	25	3	3	NUM
ejpam-3009	132	26	2	2	NUM
ejpam-3009	132	27	)	)	PUNCT
ejpam-3009	132	28	]	]	PUNCT
ejpam-3009	132	29	.	.	PUNCT
ejpam-3009	133	1	therefore	therefore	ADV
ejpam-3009	133	2	the	the	DET
ejpam-3009	133	3	total	total	ADJ
ejpam-3009	133	4	number	number	NOUN
ejpam-3009	133	5	of	of	ADP
ejpam-3009	133	6	b2	b2	NOUN
ejpam-3009	133	7	’s	’s	PART
ejpam-3009	133	8	containing	contain	VERB
ejpam-3009	133	9	all	all	DET
ejpam-3009	133	10	the	the	DET
ejpam-3009	133	11	rank	rank	NOUN
ejpam-3009	133	12	3	3	NUM
ejpam-3009	133	13	elements	element	NOUN
ejpam-3009	133	14	is	be	AUX
ejpam-3009	133	15	2	2	NUM
ejpam-3009	133	16	(	(	PUNCT
ejpam-3009	133	17	n	n	ADV
ejpam-3009	133	18	2	2	NUM
ejpam-3009	133	19	)	)	PUNCT
ejpam-3009	133	20	(	(	PUNCT
ejpam-3009	133	21	n−	n−	NOUN
ejpam-3009	133	22	2	2	NUM
ejpam-3009	133	23	2	2	NUM
ejpam-3009	133	24	)	)	PUNCT
ejpam-3009	134	1	+	+	CCONJ
ejpam-3009	134	2	(	(	PUNCT
ejpam-3009	134	3	n	n	ADV
ejpam-3009	134	4	3	3	NUM
ejpam-3009	134	5	)	)	PUNCT
ejpam-3009	134	6	[	[	PUNCT
ejpam-3009	134	7	2(n−	2(n−	NUM
ejpam-3009	134	8	3	3	NUM
ejpam-3009	134	9	)	)	PUNCT
ejpam-3009	134	10	+	+	CCONJ
ejpam-3009	134	11	(	(	PUNCT
ejpam-3009	134	12	n−	n−	NOUN
ejpam-3009	134	13	3	3	NUM
ejpam-3009	134	14	2	2	NUM
ejpam-3009	134	15	)	)	PUNCT
ejpam-3009	134	16	]	]	PUNCT
ejpam-3009	134	17	(	(	PUNCT
ejpam-3009	134	18	10	10	X
ejpam-3009	134	19	)	)	PUNCT
ejpam-3009	134	20	continuing	continue	VERB
ejpam-3009	134	21	like	like	ADP
ejpam-3009	134	22	this	this	PRON
ejpam-3009	134	23	,	,	PUNCT
ejpam-3009	134	24	we	we	PRON
ejpam-3009	134	25	get	get	VERB
ejpam-3009	134	26	,	,	PUNCT
ejpam-3009	134	27	the	the	DET
ejpam-3009	134	28	number	number	NOUN
ejpam-3009	134	29	of	of	ADP
ejpam-3009	134	30	b2	b2	NOUN
ejpam-3009	134	31	’s	’s	PART
ejpam-3009	134	32	containing	contain	VERB
ejpam-3009	134	33	all	all	DET
ejpam-3009	134	34	the	the	DET
ejpam-3009	134	35	rank	rank	NOUN
ejpam-3009	134	36	(	(	PUNCT
ejpam-3009	134	37	n−2	n−2	PROPN
ejpam-3009	134	38	)	)	PUNCT
ejpam-3009	134	39	elements	element	NOUN
ejpam-3009	134	40	in	in	ADP
ejpam-3009	134	41	s(bn	s(bn	NOUN
ejpam-3009	134	42	)	)	PUNCT
ejpam-3009	134	43	is	be	AUX
ejpam-3009	134	44	2	2	NUM
ejpam-3009	134	45	(	(	PUNCT
ejpam-3009	134	46	n	n	NUM
ejpam-3009	134	47	n−	n−	NOUN
ejpam-3009	134	48	3	3	NUM
ejpam-3009	134	49	)	)	PUNCT
ejpam-3009	134	50	×	×	NOUN
ejpam-3009	134	51	3	3	NUM
ejpam-3009	134	52	+	+	CCONJ
ejpam-3009	134	53	(	(	PUNCT
ejpam-3009	134	54	n	n	PRON
ejpam-3009	134	55	n−	n−	NOUN
ejpam-3009	134	56	2	2	NUM
ejpam-3009	134	57	)	)	PUNCT
ejpam-3009	134	58	×	×	NOUN
ejpam-3009	134	59	4	4	NUM
ejpam-3009	134	60	.	.	PUNCT
ejpam-3009	135	1	(	(	PUNCT
ejpam-3009	135	2	11	11	NUM
ejpam-3009	135	3	)	)	PUNCT
ejpam-3009	135	4	the	the	DET
ejpam-3009	135	5	number	number	NOUN
ejpam-3009	135	6	of	of	ADP
ejpam-3009	135	7	b2	b2	NOUN
ejpam-3009	135	8	’s	’s	PART
ejpam-3009	135	9	containing	contain	VERB
ejpam-3009	135	10	rank	rank	NOUN
ejpam-3009	135	11	(	(	PUNCT
ejpam-3009	135	12	n−	n−	NOUN
ejpam-3009	135	13	1	1	NUM
ejpam-3009	135	14	)	)	PUNCT
ejpam-3009	135	15	elements	element	NOUN
ejpam-3009	135	16	is	be	AUX
ejpam-3009	135	17	2	2	NUM
ejpam-3009	135	18	(	(	PUNCT
ejpam-3009	135	19	n	n	NUM
ejpam-3009	135	20	n−	n−	NOUN
ejpam-3009	135	21	2	2	NUM
ejpam-3009	135	22	)	)	PUNCT
ejpam-3009	136	1	+	+	CCONJ
ejpam-3009	136	2	(	(	PUNCT
ejpam-3009	136	3	n	n	PRON
ejpam-3009	136	4	n−	n−	NOUN
ejpam-3009	136	5	1	1	NUM
ejpam-3009	136	6	)	)	PUNCT
ejpam-3009	136	7	.	.	PUNCT
ejpam-3009	137	1	(	(	PUNCT
ejpam-3009	137	2	12	12	NUM
ejpam-3009	137	3	)	)	PUNCT
ejpam-3009	137	4	from	from	ADP
ejpam-3009	137	5	(	(	PUNCT
ejpam-3009	137	6	7	7	NUM
ejpam-3009	137	7	)	)	PUNCT
ejpam-3009	137	8	,	,	PUNCT
ejpam-3009	137	9	(	(	PUNCT
ejpam-3009	137	10	8)	8)	NUM
ejpam-3009	137	11	,	,	PUNCT
ejpam-3009	137	12	(	(	PUNCT
ejpam-3009	137	13	9	9	NUM
ejpam-3009	137	14	)	)	PUNCT
ejpam-3009	137	15	,	,	PUNCT
ejpam-3009	137	16	(	(	PUNCT
ejpam-3009	137	17	10	10	NUM
ejpam-3009	137	18	)	)	PUNCT
ejpam-3009	137	19	,	,	PUNCT
ejpam-3009	137	20	(	(	PUNCT
ejpam-3009	137	21	11	11	NUM
ejpam-3009	137	22	)	)	PUNCT
ejpam-3009	137	23	and	and	CCONJ
ejpam-3009	137	24	(	(	PUNCT
ejpam-3009	137	25	12	12	NUM
ejpam-3009	137	26	)	)	PUNCT
ejpam-3009	137	27	we	we	PRON
ejpam-3009	137	28	get	get	VERB
ejpam-3009	137	29	,	,	PUNCT
ejpam-3009	137	30	a3	a3	NOUN
ejpam-3009	137	31	=	=	SYM
ejpam-3009	137	32	2	2	NUM
ejpam-3009	137	33	(	(	PUNCT
ejpam-3009	137	34	n	n	NOUN
ejpam-3009	137	35	1	1	NUM
ejpam-3009	137	36	)	)	PUNCT
ejpam-3009	138	1	+	+	CCONJ
ejpam-3009	138	2	(	(	PUNCT
ejpam-3009	138	3	n	n	ADV
ejpam-3009	138	4	2	2	NUM
ejpam-3009	138	5	)	)	PUNCT
ejpam-3009	139	1	+	+	CCONJ
ejpam-3009	139	2	2	2	NUM
ejpam-3009	139	3	(	(	PUNCT
ejpam-3009	139	4	n	n	NOUN
ejpam-3009	139	5	2	2	NUM
ejpam-3009	139	6	)	)	PUNCT
ejpam-3009	139	7	+	+	CCONJ
ejpam-3009	139	8	(	(	PUNCT
ejpam-3009	139	9	n	n	ADV
ejpam-3009	139	10	1	1	NUM
ejpam-3009	139	11	)	)	PUNCT
ejpam-3009	139	12	[	[	PUNCT
ejpam-3009	139	13	2(n−	2(n−	NUM
ejpam-3009	139	14	1	1	NUM
ejpam-3009	139	15	)	)	PUNCT
ejpam-3009	139	16	+	+	CCONJ
ejpam-3009	139	17	(	(	PUNCT
ejpam-3009	139	18	n−	n−	NOUN
ejpam-3009	139	19	1	1	NUM
ejpam-3009	139	20	2	2	NUM
ejpam-3009	139	21	)	)	PUNCT
ejpam-3009	139	22	]	]	PUNCT
ejpam-3009	140	1	+	+	CCONJ
ejpam-3009	140	2	(	(	PUNCT
ejpam-3009	140	3	n	n	ADV
ejpam-3009	140	4	2	2	NUM
ejpam-3009	140	5	)	)	PUNCT
ejpam-3009	140	6	[	[	PUNCT
ejpam-3009	140	7	2(n−	2(n−	NUM
ejpam-3009	140	8	2	2	NUM
ejpam-3009	140	9	)	)	PUNCT
ejpam-3009	140	10	+	+	CCONJ
ejpam-3009	140	11	(	(	PUNCT
ejpam-3009	140	12	n−	n−	NOUN
ejpam-3009	140	13	2	2	NUM
ejpam-3009	140	14	2	2	NUM
ejpam-3009	140	15	)	)	PUNCT
ejpam-3009	140	16	]	]	PUNCT
ejpam-3009	141	1	+	+	CCONJ
ejpam-3009	141	2	2	2	NUM
ejpam-3009	141	3	(	(	PUNCT
ejpam-3009	141	4	n	n	NOUN
ejpam-3009	141	5	1	1	NUM
ejpam-3009	141	6	)	)	PUNCT
ejpam-3009	141	7	(	(	PUNCT
ejpam-3009	141	8	n−	n−	NOUN
ejpam-3009	141	9	1	1	NUM
ejpam-3009	141	10	2	2	NUM
ejpam-3009	141	11	)	)	PUNCT
ejpam-3009	141	12	+	+	CCONJ
ejpam-3009	141	13	2	2	NUM
ejpam-3009	141	14	(	(	PUNCT
ejpam-3009	141	15	n	n	NOUN
ejpam-3009	141	16	2	2	NUM
ejpam-3009	141	17	)	)	PUNCT
ejpam-3009	141	18	(	(	PUNCT
ejpam-3009	141	19	n−	n−	NOUN
ejpam-3009	141	20	2	2	NUM
ejpam-3009	141	21	2	2	NUM
ejpam-3009	141	22	)	)	PUNCT
ejpam-3009	141	23	+	+	CCONJ
ejpam-3009	141	24	(	(	PUNCT
ejpam-3009	141	25	n	n	ADV
ejpam-3009	141	26	3	3	NUM
ejpam-3009	141	27	)	)	PUNCT
ejpam-3009	141	28	[	[	PUNCT
ejpam-3009	141	29	2(n−	2(n−	NUM
ejpam-3009	141	30	3	3	NUM
ejpam-3009	141	31	)	)	PUNCT
ejpam-3009	141	32	+	+	CCONJ
ejpam-3009	141	33	(	(	PUNCT
ejpam-3009	141	34	n−	n−	NOUN
ejpam-3009	141	35	3	3	NUM
ejpam-3009	141	36	2	2	NUM
ejpam-3009	141	37	)	)	PUNCT
ejpam-3009	141	38	]	]	PUNCT
ejpam-3009	142	1	+	+	CCONJ
ejpam-3009	142	2	.	.	PUNCT
ejpam-3009	142	3	.	.	PUNCT
ejpam-3009	142	4	.	.	PUNCT
ejpam-3009	143	1	+	+	CCONJ
ejpam-3009	143	2	2	2	NUM
ejpam-3009	143	3	(	(	PUNCT
ejpam-3009	143	4	n	n	NUM
ejpam-3009	143	5	n−	n−	NOUN
ejpam-3009	143	6	3	3	NUM
ejpam-3009	143	7	)	)	PUNCT
ejpam-3009	143	8	×	×	NOUN
ejpam-3009	143	9	3	3	NUM
ejpam-3009	143	10	+	+	CCONJ
ejpam-3009	143	11	(	(	PUNCT
ejpam-3009	143	12	n	n	PRON
ejpam-3009	143	13	n−	n−	NOUN
ejpam-3009	143	14	2	2	NUM
ejpam-3009	143	15	)	)	PUNCT
ejpam-3009	143	16	×	×	NOUN
ejpam-3009	143	17	4	4	NUM
ejpam-3009	144	1	+	+	SYM
ejpam-3009	144	2	2	2	NUM
ejpam-3009	144	3	(	(	PUNCT
ejpam-3009	144	4	n	n	NUM
ejpam-3009	144	5	n−	n−	NOUN
ejpam-3009	144	6	2	2	NUM
ejpam-3009	144	7	)	)	PUNCT
ejpam-3009	145	1	+	+	CCONJ
ejpam-3009	145	2	(	(	PUNCT
ejpam-3009	145	3	n	n	DET
ejpam-3009	145	4	n−	n−	NOUN
ejpam-3009	145	5	1	1	NUM
ejpam-3009	145	6	)	)	PUNCT
ejpam-3009	145	7	.	.	PUNCT
ejpam-3009	146	1	that	that	PRON
ejpam-3009	146	2	is	be	AUX
ejpam-3009	146	3	,	,	PUNCT
ejpam-3009	146	4	a3	a3	NOUN
ejpam-3009	146	5	=	=	SYM
ejpam-3009	146	6	2	2	NUM
ejpam-3009	146	7	(	(	PUNCT
ejpam-3009	146	8	n	n	NOUN
ejpam-3009	146	9	1	1	NUM
ejpam-3009	146	10	)	)	PUNCT
ejpam-3009	147	1	+	+	CCONJ
ejpam-3009	147	2	(	(	PUNCT
ejpam-3009	147	3	n	n	ADV
ejpam-3009	147	4	2	2	NUM
ejpam-3009	147	5	)	)	PUNCT
ejpam-3009	148	1	+	+	CCONJ
ejpam-3009	148	2	2	2	NUM
ejpam-3009	148	3	(	(	PUNCT
ejpam-3009	148	4	n	n	NOUN
ejpam-3009	148	5	2	2	NUM
ejpam-3009	148	6	)	)	PUNCT
ejpam-3009	148	7	+	+	CCONJ
ejpam-3009	148	8	2	2	NUM
ejpam-3009	148	9	(	(	PUNCT
ejpam-3009	148	10	n	n	NOUN
ejpam-3009	148	11	1	1	NUM
ejpam-3009	148	12	)	)	PUNCT
ejpam-3009	148	13	(	(	PUNCT
ejpam-3009	148	14	n−	n−	NOUN
ejpam-3009	148	15	1	1	NUM
ejpam-3009	148	16	1	1	NUM
ejpam-3009	148	17	)	)	PUNCT
ejpam-3009	148	18	+	+	CCONJ
ejpam-3009	148	19	(	(	PUNCT
ejpam-3009	148	20	n	n	ADV
ejpam-3009	148	21	1	1	NUM
ejpam-3009	148	22	)	)	PUNCT
ejpam-3009	148	23	(	(	PUNCT
ejpam-3009	148	24	n−	n−	NOUN
ejpam-3009	148	25	1	1	NUM
ejpam-3009	148	26	2	2	NUM
ejpam-3009	148	27	)	)	PUNCT
ejpam-3009	148	28	+	+	CCONJ
ejpam-3009	148	29	2	2	NUM
ejpam-3009	148	30	(	(	PUNCT
ejpam-3009	148	31	n	n	NOUN
ejpam-3009	148	32	1	1	NUM
ejpam-3009	148	33	)	)	PUNCT
ejpam-3009	148	34	(	(	PUNCT
ejpam-3009	148	35	n−	n−	NOUN
ejpam-3009	148	36	1	1	NUM
ejpam-3009	148	37	2	2	NUM
ejpam-3009	148	38	)	)	PUNCT
ejpam-3009	148	39	+	+	CCONJ
ejpam-3009	148	40	2	2	NUM
ejpam-3009	148	41	(	(	PUNCT
ejpam-3009	148	42	n	n	NOUN
ejpam-3009	148	43	2	2	NUM
ejpam-3009	148	44	)	)	PUNCT
ejpam-3009	148	45	(	(	PUNCT
ejpam-3009	148	46	n−	n−	NOUN
ejpam-3009	148	47	2	2	NUM
ejpam-3009	148	48	1	1	NUM
ejpam-3009	148	49	)	)	PUNCT
ejpam-3009	148	50	+	+	CCONJ
ejpam-3009	148	51	(	(	PUNCT
ejpam-3009	148	52	n	n	ADV
ejpam-3009	148	53	2	2	NUM
ejpam-3009	148	54	)	)	PUNCT
ejpam-3009	148	55	(	(	PUNCT
ejpam-3009	148	56	n−	n−	NOUN
ejpam-3009	148	57	2	2	NUM
ejpam-3009	148	58	2	2	NUM
ejpam-3009	148	59	)	)	PUNCT
ejpam-3009	148	60	+	+	CCONJ
ejpam-3009	148	61	2	2	NUM
ejpam-3009	148	62	(	(	PUNCT
ejpam-3009	148	63	n	n	NOUN
ejpam-3009	148	64	2	2	NUM
ejpam-3009	148	65	)	)	PUNCT
ejpam-3009	148	66	(	(	PUNCT
ejpam-3009	148	67	n−	n−	NOUN
ejpam-3009	148	68	2	2	NUM
ejpam-3009	148	69	2	2	NUM
ejpam-3009	148	70	)	)	PUNCT
ejpam-3009	148	71	+	+	CCONJ
ejpam-3009	148	72	2	2	NUM
ejpam-3009	148	73	(	(	PUNCT
ejpam-3009	148	74	n	n	NOUN
ejpam-3009	148	75	3	3	NUM
ejpam-3009	148	76	)	)	PUNCT
ejpam-3009	148	77	(	(	PUNCT
ejpam-3009	148	78	n−	n−	NOUN
ejpam-3009	148	79	3	3	NUM
ejpam-3009	148	80	1	1	NUM
ejpam-3009	148	81	)	)	PUNCT
ejpam-3009	148	82	+	+	CCONJ
ejpam-3009	148	83	(	(	PUNCT
ejpam-3009	148	84	n	n	ADV
ejpam-3009	148	85	3	3	NUM
ejpam-3009	148	86	)	)	PUNCT
ejpam-3009	148	87	(	(	PUNCT
ejpam-3009	148	88	n−	n−	NOUN
ejpam-3009	148	89	3	3	NUM
ejpam-3009	148	90	2	2	NUM
ejpam-3009	148	91	)	)	PUNCT
ejpam-3009	148	92	+	+	CCONJ
ejpam-3009	148	93	.	.	PUNCT
ejpam-3009	148	94	.	.	PUNCT
ejpam-3009	149	1	.+	.+	NOUN
ejpam-3009	149	2	2	2	NUM
ejpam-3009	149	3	(	(	PUNCT
ejpam-3009	149	4	n	n	NUM
ejpam-3009	149	5	n−	n−	NOUN
ejpam-3009	149	6	2	2	NUM
ejpam-3009	149	7	)	)	PUNCT
ejpam-3009	149	8	+	+	CCONJ
ejpam-3009	149	9	(	(	PUNCT
ejpam-3009	149	10	n	n	PRON
ejpam-3009	149	11	n−	n−	NOUN
ejpam-3009	149	12	1	1	NUM
ejpam-3009	149	13	)	)	PUNCT
ejpam-3009	149	14	.	.	PUNCT
ejpam-3009	150	1	(	(	PUNCT
ejpam-3009	150	2	13	13	NUM
ejpam-3009	150	3	)	)	PUNCT
ejpam-3009	150	4	g.	g.	PROPN
ejpam-3009	150	5	sheeba	sheeba	PROPN
ejpam-3009	150	6	merlin	merlin	PROPN
ejpam-3009	150	7	,	,	PUNCT
ejpam-3009	150	8	a.	a.	NOUN
ejpam-3009	150	9	vethamanickam	vethamanickam	PROPN
ejpam-3009	150	10	/	/	SYM
ejpam-3009	150	11	eur	eur	PROPN
ejpam-3009	150	12	.	.	PUNCT
ejpam-3009	151	1	j.	j.	PROPN
ejpam-3009	151	2	pure	pure	PROPN
ejpam-3009	151	3	appl	appl	PROPN
ejpam-3009	151	4	.	.	PROPN
ejpam-3009	151	5	math	math	PROPN
ejpam-3009	151	6	,	,	PUNCT
ejpam-3009	151	7	10	10	NUM
ejpam-3009	151	8	(	(	PUNCT
ejpam-3009	151	9	4	4	NUM
ejpam-3009	151	10	)	)	PUNCT
ejpam-3009	151	11	(	(	PUNCT
ejpam-3009	151	12	2017	2017	NUM
ejpam-3009	151	13	)	)	PUNCT
ejpam-3009	151	14	,	,	PUNCT
ejpam-3009	151	15	916	916	NUM
ejpam-3009	151	16	-	-	SYM
ejpam-3009	151	17	928	928	NUM
ejpam-3009	151	18	924	924	NUM
ejpam-3009	151	19	similar	similar	ADJ
ejpam-3009	151	20	argument	argument	NOUN
ejpam-3009	151	21	will	will	AUX
ejpam-3009	151	22	give	give	VERB
ejpam-3009	151	23	,	,	PUNCT
ejpam-3009	151	24	a4	a4	NOUN
ejpam-3009	151	25	=	=	NOUN
ejpam-3009	151	26	the	the	DET
ejpam-3009	151	27	number	number	NOUN
ejpam-3009	151	28	of	of	ADP
ejpam-3009	151	29	rank	rank	NOUN
ejpam-3009	151	30	3	3	NUM
ejpam-3009	151	31	sublattices	sublattice	NOUN
ejpam-3009	151	32	.	.	PUNCT
ejpam-3009	152	1	a4	a4	NOUN
ejpam-3009	153	1	=	=	SYM
ejpam-3009	153	2	[	[	PUNCT
ejpam-3009	153	3	2	2	NUM
ejpam-3009	153	4	(	(	PUNCT
ejpam-3009	153	5	n	n	NOUN
ejpam-3009	153	6	2	2	NUM
ejpam-3009	153	7	)	)	PUNCT
ejpam-3009	153	8	+	+	CCONJ
ejpam-3009	153	9	(	(	PUNCT
ejpam-3009	153	10	n	n	ADV
ejpam-3009	153	11	3	3	NUM
ejpam-3009	153	12	)	)	PUNCT
ejpam-3009	153	13	]	]	PUNCT
ejpam-3009	154	1	+	+	CCONJ
ejpam-3009	154	2	2	2	NUM
ejpam-3009	154	3	(	(	PUNCT
ejpam-3009	154	4	n	n	NOUN
ejpam-3009	154	5	3	3	NUM
ejpam-3009	154	6	)	)	PUNCT
ejpam-3009	154	7	+	+	CCONJ
ejpam-3009	154	8	(	(	PUNCT
ejpam-3009	154	9	n	n	ADV
ejpam-3009	154	10	1	1	NUM
ejpam-3009	154	11	)	)	PUNCT
ejpam-3009	154	12	[	[	PUNCT
ejpam-3009	154	13	2	2	NUM
ejpam-3009	154	14	(	(	PUNCT
ejpam-3009	154	15	n−	n−	NOUN
ejpam-3009	154	16	1	1	NUM
ejpam-3009	154	17	2	2	NUM
ejpam-3009	154	18	)	)	PUNCT
ejpam-3009	154	19	+	+	CCONJ
ejpam-3009	154	20	(	(	PUNCT
ejpam-3009	154	21	n−	n−	NOUN
ejpam-3009	154	22	1	1	NUM
ejpam-3009	154	23	3	3	NUM
ejpam-3009	154	24	)	)	PUNCT
ejpam-3009	154	25	]	]	PUNCT
ejpam-3009	155	1	+	+	CCONJ
ejpam-3009	155	2	(	(	PUNCT
ejpam-3009	155	3	n	n	ADV
ejpam-3009	155	4	2	2	NUM
ejpam-3009	155	5	)	)	PUNCT
ejpam-3009	155	6	[	[	PUNCT
ejpam-3009	155	7	2	2	NUM
ejpam-3009	155	8	(	(	PUNCT
ejpam-3009	155	9	n−	n−	NOUN
ejpam-3009	155	10	2	2	NUM
ejpam-3009	155	11	2	2	NUM
ejpam-3009	155	12	)	)	PUNCT
ejpam-3009	155	13	+	+	CCONJ
ejpam-3009	155	14	(	(	PUNCT
ejpam-3009	155	15	n−	n−	NOUN
ejpam-3009	155	16	2	2	NUM
ejpam-3009	155	17	3	3	NUM
ejpam-3009	155	18	)	)	PUNCT
ejpam-3009	155	19	]	]	PUNCT
ejpam-3009	156	1	+	+	CCONJ
ejpam-3009	156	2	2	2	NUM
ejpam-3009	156	3	(	(	PUNCT
ejpam-3009	156	4	n	n	NOUN
ejpam-3009	156	5	2	2	NUM
ejpam-3009	156	6	)	)	PUNCT
ejpam-3009	156	7	(	(	PUNCT
ejpam-3009	156	8	n−	n−	NOUN
ejpam-3009	156	9	2	2	NUM
ejpam-3009	156	10	3	3	NUM
ejpam-3009	156	11	)	)	PUNCT
ejpam-3009	156	12	+	+	CCONJ
ejpam-3009	156	13	2	2	NUM
ejpam-3009	156	14	(	(	PUNCT
ejpam-3009	156	15	n	n	NOUN
ejpam-3009	156	16	1	1	NUM
ejpam-3009	156	17	)	)	PUNCT
ejpam-3009	156	18	(	(	PUNCT
ejpam-3009	156	19	n−	n−	NOUN
ejpam-3009	156	20	1	1	NUM
ejpam-3009	156	21	3	3	NUM
ejpam-3009	156	22	)	)	PUNCT
ejpam-3009	156	23	+	+	CCONJ
ejpam-3009	156	24	(	(	PUNCT
ejpam-3009	156	25	n	n	ADV
ejpam-3009	156	26	3	3	NUM
ejpam-3009	156	27	)	)	PUNCT
ejpam-3009	156	28	[	[	PUNCT
ejpam-3009	156	29	2	2	NUM
ejpam-3009	156	30	(	(	PUNCT
ejpam-3009	156	31	n−	n−	NOUN
ejpam-3009	156	32	3	3	NUM
ejpam-3009	156	33	2	2	NUM
ejpam-3009	156	34	)	)	PUNCT
ejpam-3009	156	35	+	+	CCONJ
ejpam-3009	156	36	(	(	PUNCT
ejpam-3009	156	37	n−	n−	NOUN
ejpam-3009	156	38	3	3	NUM
ejpam-3009	156	39	3	3	NUM
ejpam-3009	156	40	)	)	PUNCT
ejpam-3009	156	41	]	]	PUNCT
ejpam-3009	157	1	+	+	CCONJ
ejpam-3009	157	2	.	.	PUNCT
ejpam-3009	157	3	.	.	PUNCT
ejpam-3009	158	1	.+	.+	NOUN
ejpam-3009	158	2	2	2	NUM
ejpam-3009	158	3	(	(	PUNCT
ejpam-3009	158	4	n	n	NUM
ejpam-3009	158	5	n−	n−	NOUN
ejpam-3009	158	6	3	3	NUM
ejpam-3009	158	7	)	)	PUNCT
ejpam-3009	158	8	+	+	CCONJ
ejpam-3009	158	9	(	(	PUNCT
ejpam-3009	158	10	n	n	PRON
ejpam-3009	158	11	n−	n−	NOUN
ejpam-3009	158	12	2	2	NUM
ejpam-3009	158	13	)	)	PUNCT
ejpam-3009	158	14	.	.	PUNCT
ejpam-3009	159	1	that	that	PRON
ejpam-3009	159	2	is	be	AUX
ejpam-3009	159	3	,	,	PUNCT
ejpam-3009	159	4	a4	a4	X
ejpam-3009	159	5	=	=	SYM
ejpam-3009	159	6	2	2	NUM
ejpam-3009	159	7	(	(	PUNCT
ejpam-3009	159	8	n	n	NOUN
ejpam-3009	159	9	2	2	NUM
ejpam-3009	159	10	)	)	PUNCT
ejpam-3009	160	1	+	+	CCONJ
ejpam-3009	160	2	(	(	PUNCT
ejpam-3009	160	3	n	n	ADV
ejpam-3009	160	4	3	3	NUM
ejpam-3009	160	5	)	)	PUNCT
ejpam-3009	161	1	+	+	CCONJ
ejpam-3009	161	2	2	2	NUM
ejpam-3009	161	3	(	(	PUNCT
ejpam-3009	161	4	n	n	NOUN
ejpam-3009	161	5	2	2	NUM
ejpam-3009	161	6	)	)	PUNCT
ejpam-3009	161	7	+	+	CCONJ
ejpam-3009	161	8	2	2	NUM
ejpam-3009	161	9	(	(	PUNCT
ejpam-3009	161	10	n	n	NOUN
ejpam-3009	161	11	1	1	NUM
ejpam-3009	161	12	)	)	PUNCT
ejpam-3009	161	13	(	(	PUNCT
ejpam-3009	161	14	n−	n−	NOUN
ejpam-3009	161	15	1	1	NUM
ejpam-3009	161	16	2	2	NUM
ejpam-3009	161	17	)	)	PUNCT
ejpam-3009	161	18	+	+	CCONJ
ejpam-3009	161	19	(	(	PUNCT
ejpam-3009	161	20	n	n	ADV
ejpam-3009	161	21	1	1	NUM
ejpam-3009	161	22	)	)	PUNCT
ejpam-3009	161	23	(	(	PUNCT
ejpam-3009	161	24	n−	n−	NOUN
ejpam-3009	161	25	1	1	NUM
ejpam-3009	161	26	3	3	NUM
ejpam-3009	161	27	)	)	PUNCT
ejpam-3009	161	28	+	+	CCONJ
ejpam-3009	161	29	2	2	NUM
ejpam-3009	161	30	(	(	PUNCT
ejpam-3009	161	31	n	n	NOUN
ejpam-3009	161	32	1	1	NUM
ejpam-3009	161	33	)	)	PUNCT
ejpam-3009	161	34	(	(	PUNCT
ejpam-3009	161	35	n−	n−	NOUN
ejpam-3009	161	36	1	1	NUM
ejpam-3009	161	37	3	3	NUM
ejpam-3009	161	38	)	)	PUNCT
ejpam-3009	161	39	+	+	CCONJ
ejpam-3009	161	40	2	2	NUM
ejpam-3009	161	41	(	(	PUNCT
ejpam-3009	161	42	n	n	NOUN
ejpam-3009	161	43	2	2	NUM
ejpam-3009	161	44	)	)	PUNCT
ejpam-3009	161	45	(	(	PUNCT
ejpam-3009	161	46	n−	n−	NOUN
ejpam-3009	161	47	2	2	NUM
ejpam-3009	161	48	2	2	NUM
ejpam-3009	161	49	)	)	PUNCT
ejpam-3009	161	50	+	+	CCONJ
ejpam-3009	161	51	(	(	PUNCT
ejpam-3009	161	52	n	n	ADV
ejpam-3009	161	53	2	2	NUM
ejpam-3009	161	54	)	)	PUNCT
ejpam-3009	161	55	(	(	PUNCT
ejpam-3009	161	56	n−	n−	NOUN
ejpam-3009	161	57	2	2	NUM
ejpam-3009	161	58	3	3	NUM
ejpam-3009	161	59	)	)	PUNCT
ejpam-3009	161	60	+	+	CCONJ
ejpam-3009	161	61	2	2	NUM
ejpam-3009	161	62	(	(	PUNCT
ejpam-3009	161	63	n	n	NOUN
ejpam-3009	161	64	2	2	NUM
ejpam-3009	161	65	)	)	PUNCT
ejpam-3009	161	66	(	(	PUNCT
ejpam-3009	161	67	n−	n−	NOUN
ejpam-3009	161	68	2	2	NUM
ejpam-3009	161	69	3	3	NUM
ejpam-3009	161	70	)	)	PUNCT
ejpam-3009	161	71	+	+	CCONJ
ejpam-3009	161	72	2	2	NUM
ejpam-3009	161	73	(	(	PUNCT
ejpam-3009	161	74	n	n	NOUN
ejpam-3009	161	75	3	3	NUM
ejpam-3009	161	76	)	)	PUNCT
ejpam-3009	161	77	(	(	PUNCT
ejpam-3009	161	78	n−	n−	NOUN
ejpam-3009	161	79	3	3	NUM
ejpam-3009	161	80	2	2	NUM
ejpam-3009	161	81	)	)	PUNCT
ejpam-3009	161	82	+	+	CCONJ
ejpam-3009	161	83	(	(	PUNCT
ejpam-3009	161	84	n	n	ADV
ejpam-3009	161	85	3	3	NUM
ejpam-3009	161	86	)	)	PUNCT
ejpam-3009	161	87	(	(	PUNCT
ejpam-3009	161	88	n−	n−	NOUN
ejpam-3009	161	89	3	3	NUM
ejpam-3009	161	90	3	3	NUM
ejpam-3009	161	91	)	)	PUNCT
ejpam-3009	161	92	+	+	CCONJ
ejpam-3009	161	93	.	.	PUNCT
ejpam-3009	161	94	.	.	PUNCT
ejpam-3009	162	1	.+	.+	NOUN
ejpam-3009	162	2	2	2	NUM
ejpam-3009	162	3	(	(	PUNCT
ejpam-3009	162	4	n	n	NUM
ejpam-3009	162	5	n−	n−	NOUN
ejpam-3009	162	6	3	3	NUM
ejpam-3009	162	7	)	)	PUNCT
ejpam-3009	162	8	+	+	CCONJ
ejpam-3009	162	9	(	(	PUNCT
ejpam-3009	162	10	n	n	PRON
ejpam-3009	162	11	n−	n−	NOUN
ejpam-3009	162	12	2	2	NUM
ejpam-3009	162	13	)	)	PUNCT
ejpam-3009	162	14	.	.	PUNCT
ejpam-3009	163	1	(	(	PUNCT
ejpam-3009	163	2	14	14	NUM
ejpam-3009	163	3	)	)	PUNCT
ejpam-3009	163	4	a5	a5	NOUN
ejpam-3009	163	5	=	=	PUNCT
ejpam-3009	163	6	the	the	DET
ejpam-3009	163	7	number	number	NOUN
ejpam-3009	163	8	of	of	ADP
ejpam-3009	163	9	rank	rank	NOUN
ejpam-3009	163	10	4	4	NUM
ejpam-3009	163	11	sublattices	sublattice	NOUN
ejpam-3009	163	12	.	.	PUNCT
ejpam-3009	164	1	a5	a5	NOUN
ejpam-3009	164	2	=	=	SYM
ejpam-3009	164	3	2	2	NUM
ejpam-3009	164	4	(	(	PUNCT
ejpam-3009	164	5	n	n	NOUN
ejpam-3009	164	6	3	3	NUM
ejpam-3009	164	7	)	)	PUNCT
ejpam-3009	165	1	+	+	CCONJ
ejpam-3009	165	2	(	(	PUNCT
ejpam-3009	165	3	n	n	ADV
ejpam-3009	165	4	4	4	NUM
ejpam-3009	165	5	)	)	PUNCT
ejpam-3009	166	1	+	+	CCONJ
ejpam-3009	166	2	2	2	NUM
ejpam-3009	166	3	(	(	PUNCT
ejpam-3009	166	4	n	n	ADV
ejpam-3009	166	5	4	4	NUM
ejpam-3009	166	6	)	)	PUNCT
ejpam-3009	167	1	+	+	CCONJ
ejpam-3009	167	2	2	2	NUM
ejpam-3009	167	3	(	(	PUNCT
ejpam-3009	167	4	n	n	NOUN
ejpam-3009	167	5	1	1	NUM
ejpam-3009	167	6	)	)	PUNCT
ejpam-3009	167	7	(	(	PUNCT
ejpam-3009	167	8	n−	n−	NOUN
ejpam-3009	167	9	1	1	NUM
ejpam-3009	167	10	3	3	NUM
ejpam-3009	167	11	)	)	PUNCT
ejpam-3009	167	12	+	+	CCONJ
ejpam-3009	167	13	(	(	PUNCT
ejpam-3009	167	14	n	n	ADV
ejpam-3009	167	15	1	1	NUM
ejpam-3009	167	16	)	)	PUNCT
ejpam-3009	167	17	(	(	PUNCT
ejpam-3009	167	18	n−	n−	NOUN
ejpam-3009	167	19	1	1	NUM
ejpam-3009	167	20	4	4	NUM
ejpam-3009	167	21	)	)	PUNCT
ejpam-3009	167	22	+	+	CCONJ
ejpam-3009	167	23	2	2	NUM
ejpam-3009	167	24	(	(	PUNCT
ejpam-3009	167	25	n	n	NOUN
ejpam-3009	167	26	1	1	NUM
ejpam-3009	167	27	)	)	PUNCT
ejpam-3009	167	28	(	(	PUNCT
ejpam-3009	167	29	n−	n−	NOUN
ejpam-3009	167	30	1	1	NUM
ejpam-3009	167	31	4	4	NUM
ejpam-3009	167	32	)	)	PUNCT
ejpam-3009	167	33	+	+	CCONJ
ejpam-3009	167	34	2	2	NUM
ejpam-3009	167	35	(	(	PUNCT
ejpam-3009	167	36	n	n	NOUN
ejpam-3009	167	37	2	2	NUM
ejpam-3009	167	38	)	)	PUNCT
ejpam-3009	167	39	(	(	PUNCT
ejpam-3009	167	40	n−	n−	NOUN
ejpam-3009	167	41	2	2	NUM
ejpam-3009	167	42	3	3	NUM
ejpam-3009	167	43	)	)	PUNCT
ejpam-3009	167	44	+	+	CCONJ
ejpam-3009	167	45	(	(	PUNCT
ejpam-3009	167	46	n	n	ADV
ejpam-3009	167	47	2	2	NUM
ejpam-3009	167	48	)	)	PUNCT
ejpam-3009	167	49	(	(	PUNCT
ejpam-3009	167	50	n−	n−	NOUN
ejpam-3009	167	51	2	2	NUM
ejpam-3009	167	52	4	4	NUM
ejpam-3009	167	53	)	)	PUNCT
ejpam-3009	167	54	+	+	CCONJ
ejpam-3009	167	55	2	2	NUM
ejpam-3009	167	56	(	(	PUNCT
ejpam-3009	167	57	n	n	NOUN
ejpam-3009	167	58	2	2	NUM
ejpam-3009	167	59	)	)	PUNCT
ejpam-3009	167	60	(	(	PUNCT
ejpam-3009	167	61	n−	n−	NOUN
ejpam-3009	167	62	2	2	NUM
ejpam-3009	167	63	4	4	NUM
ejpam-3009	167	64	)	)	PUNCT
ejpam-3009	167	65	+	+	CCONJ
ejpam-3009	167	66	2	2	NUM
ejpam-3009	167	67	(	(	PUNCT
ejpam-3009	167	68	n	n	NOUN
ejpam-3009	167	69	3	3	NUM
ejpam-3009	167	70	)	)	PUNCT
ejpam-3009	167	71	(	(	PUNCT
ejpam-3009	167	72	n−	n−	NOUN
ejpam-3009	167	73	3	3	NUM
ejpam-3009	167	74	3	3	NUM
ejpam-3009	167	75	)	)	PUNCT
ejpam-3009	167	76	+	+	CCONJ
ejpam-3009	167	77	(	(	PUNCT
ejpam-3009	167	78	n	n	ADV
ejpam-3009	167	79	3	3	NUM
ejpam-3009	167	80	)	)	PUNCT
ejpam-3009	167	81	(	(	PUNCT
ejpam-3009	167	82	n−	n−	NOUN
ejpam-3009	167	83	3	3	NUM
ejpam-3009	167	84	4	4	NUM
ejpam-3009	167	85	)	)	PUNCT
ejpam-3009	167	86	+	+	CCONJ
ejpam-3009	167	87	.	.	PUNCT
ejpam-3009	167	88	.	.	PUNCT
ejpam-3009	168	1	.+	.+	NOUN
ejpam-3009	168	2	2	2	NUM
ejpam-3009	168	3	(	(	PUNCT
ejpam-3009	168	4	n	n	NUM
ejpam-3009	168	5	n−	n−	NOUN
ejpam-3009	168	6	4	4	NUM
ejpam-3009	168	7	)	)	PUNCT
ejpam-3009	168	8	+	+	CCONJ
ejpam-3009	168	9	(	(	PUNCT
ejpam-3009	168	10	n	n	PRON
ejpam-3009	168	11	n−	n−	NOUN
ejpam-3009	168	12	3	3	NUM
ejpam-3009	168	13	)	)	PUNCT
ejpam-3009	168	14	(	(	PUNCT
ejpam-3009	168	15	15	15	NUM
ejpam-3009	168	16	)	)	PUNCT
ejpam-3009	168	17	and	and	CCONJ
ejpam-3009	168	18	so	so	ADV
ejpam-3009	168	19	on	on	ADV
ejpam-3009	168	20	.	.	PUNCT
ejpam-3009	169	1	finally	finally	ADV
ejpam-3009	169	2	,	,	PUNCT
ejpam-3009	169	3	we	we	PRON
ejpam-3009	169	4	get	get	VERB
ejpam-3009	169	5	an	an	DET
ejpam-3009	169	6	=	=	SYM
ejpam-3009	169	7	2	2	NUM
ejpam-3009	169	8	(	(	PUNCT
ejpam-3009	169	9	n	n	NUM
ejpam-3009	169	10	n−	n−	NOUN
ejpam-3009	169	11	2	2	NUM
ejpam-3009	169	12	)	)	PUNCT
ejpam-3009	170	1	+	+	CCONJ
ejpam-3009	171	1	(	(	PUNCT
ejpam-3009	171	2	n	n	PRON
ejpam-3009	171	3	n−	n−	NOUN
ejpam-3009	171	4	1	1	NUM
ejpam-3009	171	5	)	)	PUNCT
ejpam-3009	171	6	+	+	CCONJ
ejpam-3009	171	7	2	2	NUM
ejpam-3009	171	8	(	(	PUNCT
ejpam-3009	171	9	n	n	NUM
ejpam-3009	171	10	n−	n−	NOUN
ejpam-3009	171	11	1	1	NUM
ejpam-3009	171	12	)	)	PUNCT
ejpam-3009	171	13	+	+	CCONJ
ejpam-3009	171	14	2	2	NUM
ejpam-3009	171	15	(	(	PUNCT
ejpam-3009	171	16	n	n	NOUN
ejpam-3009	171	17	1	1	NUM
ejpam-3009	171	18	)	)	PUNCT
ejpam-3009	171	19	(	(	PUNCT
ejpam-3009	171	20	n−	n−	NOUN
ejpam-3009	171	21	1	1	NUM
ejpam-3009	171	22	n−	n−	NOUN
ejpam-3009	171	23	2	2	NUM
ejpam-3009	171	24	)	)	PUNCT
ejpam-3009	171	25	.	.	PUNCT
ejpam-3009	172	1	(	(	PUNCT
ejpam-3009	172	2	16	16	NUM
ejpam-3009	172	3	)	)	PUNCT
ejpam-3009	172	4	an+1	an+1	NOUN
ejpam-3009	172	5	=	=	SYM
ejpam-3009	172	6	2	2	NUM
ejpam-3009	172	7	(	(	PUNCT
ejpam-3009	172	8	n	n	NUM
ejpam-3009	172	9	n−	n−	NOUN
ejpam-3009	172	10	1	1	NUM
ejpam-3009	172	11	)	)	PUNCT
ejpam-3009	173	1	+	+	CCONJ
ejpam-3009	173	2	(	(	PUNCT
ejpam-3009	173	3	n+	n+	NOUN
ejpam-3009	173	4	2	2	NUM
ejpam-3009	173	5	)	)	PUNCT
ejpam-3009	173	6	.	.	PUNCT
ejpam-3009	174	1	(	(	PUNCT
ejpam-3009	174	2	17	17	NUM
ejpam-3009	174	3	)	)	PUNCT
ejpam-3009	174	4	g.	g.	PROPN
ejpam-3009	174	5	sheeba	sheeba	PROPN
ejpam-3009	174	6	merlin	merlin	PROPN
ejpam-3009	174	7	,	,	PUNCT
ejpam-3009	174	8	a.	a.	NOUN
ejpam-3009	174	9	vethamanickam	vethamanickam	PROPN
ejpam-3009	174	10	/	/	SYM
ejpam-3009	174	11	eur	eur	PROPN
ejpam-3009	174	12	.	.	PUNCT
ejpam-3009	175	1	j.	j.	PROPN
ejpam-3009	175	2	pure	pure	PROPN
ejpam-3009	175	3	appl	appl	PROPN
ejpam-3009	175	4	.	.	PROPN
ejpam-3009	175	5	math	math	PROPN
ejpam-3009	175	6	,	,	PUNCT
ejpam-3009	175	7	10	10	NUM
ejpam-3009	175	8	(	(	PUNCT
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ejpam-3009	175	10	)	)	PUNCT
ejpam-3009	175	11	(	(	PUNCT
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ejpam-3009	175	13	)	)	PUNCT
ejpam-3009	175	14	,	,	PUNCT
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ejpam-3009	175	17	928	928	NUM
ejpam-3009	175	18	925	925	NUM
ejpam-3009	175	19	c	c	NOUN
ejpam-3009	175	20	ase	ase	X
ejpam-3009	175	21	(	(	PUNCT
ejpam-3009	175	22	i	i	PROPN
ejpam-3009	175	23	):	):	PUNCT
ejpam-3009	175	24	suppose	suppose	VERB
ejpam-3009	175	25	n	n	PRON
ejpam-3009	175	26	is	be	AUX
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ejpam-3009	175	28	.	.	PUNCT
ejpam-3009	176	1	a1	a1	NOUN
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ejpam-3009	176	5	−a4	−a4	PROPN
ejpam-3009	176	6	+	+	X
ejpam-3009	176	7	.	.	PUNCT
ejpam-3009	176	8	.	.	PUNCT
ejpam-3009	177	1	.+an+1	.+an+1	PUNCT
ejpam-3009	178	1	=	=	PUNCT
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ejpam-3009	178	3	n	n	NOUN
ejpam-3009	178	4	0	0	NUM
ejpam-3009	178	5	)	)	PUNCT
ejpam-3009	179	1	[	[	X
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ejpam-3009	179	3	+	+	NUM
ejpam-3009	179	4	2−	2−	NUM
ejpam-3009	179	5	2	2	NUM
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ejpam-3009	179	7	+	+	CCONJ
ejpam-3009	179	8	(	(	PUNCT
ejpam-3009	179	9	n	n	ADV
ejpam-3009	179	10	1	1	NUM
ejpam-3009	179	11	)	)	PUNCT
ejpam-3009	179	12	[	[	PUNCT
ejpam-3009	179	13	1	1	NUM
ejpam-3009	179	14	+	+	NUM
ejpam-3009	179	15	2−	2−	NUM
ejpam-3009	179	16	1−	1−	NUM
ejpam-3009	179	17	2−	2−	NUM
ejpam-3009	179	18	n−	n−	NOUN
ejpam-3009	179	19	2	2	NUM
ejpam-3009	179	20	+	+	CCONJ
ejpam-3009	179	21	1−	1−	NUM
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ejpam-3009	179	24	n−	n−	NOUN
ejpam-3009	179	25	1	1	NUM
ejpam-3009	179	26	1	1	NUM
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ejpam-3009	179	28	+	+	CCONJ
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ejpam-3009	179	30	+	+	SYM
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ejpam-3009	179	34	1	1	NUM
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ejpam-3009	179	37	+	+	CCONJ
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ejpam-3009	179	43	+	+	CCONJ
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ejpam-3009	179	46	n−	n−	NOUN
ejpam-3009	179	47	1	1	NUM
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ejpam-3009	179	50	−	−	PROPN
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ejpam-3009	179	54	1	1	NUM
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ejpam-3009	179	57	−	−	PROPN
ejpam-3009	179	58	(	(	PUNCT
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ejpam-3009	179	60	1	1	NUM
ejpam-3009	179	61	3	3	NUM
ejpam-3009	179	62	)	)	PUNCT
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ejpam-3009	179	65	(	(	PUNCT
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ejpam-3009	179	67	1	1	NUM
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ejpam-3009	179	69	)	)	PUNCT
ejpam-3009	179	70	+	+	CCONJ
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ejpam-3009	179	73	n−	n−	NOUN
ejpam-3009	179	74	1	1	NUM
ejpam-3009	179	75	3	3	NUM
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ejpam-3009	180	1	+	+	CCONJ
ejpam-3009	180	2	(	(	PUNCT
ejpam-3009	180	3	n−	n−	NOUN
ejpam-3009	180	4	1	1	NUM
ejpam-3009	180	5	4	4	NUM
ejpam-3009	180	6	)	)	PUNCT
ejpam-3009	181	1	+	+	CCONJ
ejpam-3009	181	2	2	2	NUM
ejpam-3009	181	3	(	(	PUNCT
ejpam-3009	181	4	n−	n−	NOUN
ejpam-3009	181	5	1	1	NUM
ejpam-3009	181	6	4	4	NUM
ejpam-3009	181	7	)	)	PUNCT
ejpam-3009	181	8	+	+	CCONJ
ejpam-3009	181	9	.	.	PUNCT
ejpam-3009	181	10	.	.	PUNCT
ejpam-3009	181	11	.	.	PUNCT
ejpam-3009	182	1	+	+	CCONJ
ejpam-3009	182	2	(	(	PUNCT
ejpam-3009	182	3	n−	n−	NOUN
ejpam-3009	182	4	1	1	NUM
ejpam-3009	182	5	n−	n−	NOUN
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ejpam-3009	182	7	)	)	PUNCT
ejpam-3009	182	8	]	]	PUNCT
ejpam-3009	183	1	+	+	CCONJ
ejpam-3009	183	2	(	(	PUNCT
ejpam-3009	183	3	n	n	ADV
ejpam-3009	183	4	2	2	NUM
ejpam-3009	183	5	)	)	PUNCT
ejpam-3009	183	6	[	[	PUNCT
ejpam-3009	183	7	1	1	NUM
ejpam-3009	183	8	+	+	NUM
ejpam-3009	183	9	2−	2−	NUM
ejpam-3009	183	10	n−	n−	NOUN
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ejpam-3009	183	17	1	1	NUM
ejpam-3009	183	18	)	)	PUNCT
ejpam-3009	183	19	+	+	CCONJ
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ejpam-3009	183	21	+	+	NUM
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ejpam-3009	183	23	+	+	NUM
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ejpam-3009	183	25	(	(	PUNCT
ejpam-3009	183	26	n−	n−	NOUN
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ejpam-3009	183	28	1	1	NUM
ejpam-3009	183	29	)	)	PUNCT
ejpam-3009	184	1	+	+	CCONJ
ejpam-3009	184	2	(	(	PUNCT
ejpam-3009	184	3	n−	n−	NOUN
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ejpam-3009	184	5	2	2	NUM
ejpam-3009	184	6	)	)	PUNCT
ejpam-3009	185	1	+	+	CCONJ
ejpam-3009	185	2	2	2	NUM
ejpam-3009	185	3	(	(	PUNCT
ejpam-3009	185	4	n−	n−	NOUN
ejpam-3009	185	5	2	2	NUM
ejpam-3009	185	6	2	2	NUM
ejpam-3009	185	7	)	)	PUNCT
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ejpam-3009	185	9	2−	2−	NUM
ejpam-3009	185	10	2	2	NUM
ejpam-3009	185	11	(	(	PUNCT
ejpam-3009	185	12	n−	n−	NOUN
ejpam-3009	185	13	2	2	NUM
ejpam-3009	185	14	2	2	NUM
ejpam-3009	185	15	)	)	PUNCT
ejpam-3009	185	16	−	−	PROPN
ejpam-3009	185	17	(	(	PUNCT
ejpam-3009	185	18	n−	n−	NOUN
ejpam-3009	185	19	2	2	NUM
ejpam-3009	185	20	3	3	NUM
ejpam-3009	185	21	)	)	PUNCT
ejpam-3009	185	22	−	−	PROPN
ejpam-3009	185	23	2	2	NUM
ejpam-3009	185	24	(	(	PUNCT
ejpam-3009	185	25	n−	n−	NOUN
ejpam-3009	185	26	2	2	NUM
ejpam-3009	185	27	3	3	NUM
ejpam-3009	185	28	)	)	PUNCT
ejpam-3009	185	29	+	+	CCONJ
ejpam-3009	185	30	2	2	NUM
ejpam-3009	185	31	(	(	PUNCT
ejpam-3009	185	32	n−	n−	NOUN
ejpam-3009	185	33	2	2	NUM
ejpam-3009	185	34	3	3	NUM
ejpam-3009	185	35	)	)	PUNCT
ejpam-3009	186	1	+	+	CCONJ
ejpam-3009	186	2	(	(	PUNCT
ejpam-3009	186	3	n−	n−	NOUN
ejpam-3009	186	4	2	2	NUM
ejpam-3009	186	5	4	4	NUM
ejpam-3009	186	6	)	)	PUNCT
ejpam-3009	187	1	+	+	CCONJ
ejpam-3009	187	2	2	2	NUM
ejpam-3009	187	3	(	(	PUNCT
ejpam-3009	187	4	n−	n−	NOUN
ejpam-3009	187	5	2	2	NUM
ejpam-3009	187	6	4	4	NUM
ejpam-3009	187	7	)	)	PUNCT
ejpam-3009	187	8	+	+	CCONJ
ejpam-3009	187	9	.	.	PUNCT
ejpam-3009	187	10	.	.	PUNCT
ejpam-3009	188	1	.+	.+	NOUN
ejpam-3009	188	2	(	(	PUNCT
ejpam-3009	188	3	n−	n−	NOUN
ejpam-3009	188	4	2	2	NUM
ejpam-3009	188	5	n−	n−	NOUN
ejpam-3009	188	6	2	2	NUM
ejpam-3009	188	7	)	)	PUNCT
ejpam-3009	188	8	]	]	PUNCT
ejpam-3009	189	1	+	+	CCONJ
ejpam-3009	189	2	(	(	PUNCT
ejpam-3009	189	3	n	n	ADV
ejpam-3009	189	4	3	3	NUM
ejpam-3009	189	5	)	)	PUNCT
ejpam-3009	189	6	[	[	PUNCT
ejpam-3009	189	7	1	1	NUM
ejpam-3009	189	8	+	+	NUM
ejpam-3009	189	9	2−	2−	NUM
ejpam-3009	189	10	n−	n−	NOUN
ejpam-3009	189	11	2	2	NUM
ejpam-3009	189	12	+	+	CCONJ
ejpam-3009	189	13	3	3	NUM
ejpam-3009	189	14	+	+	SYM
ejpam-3009	189	15	2	2	NUM
ejpam-3009	189	16	(	(	PUNCT
ejpam-3009	189	17	n−	n−	NOUN
ejpam-3009	189	18	3	3	NUM
ejpam-3009	189	19	1	1	NUM
ejpam-3009	189	20	)	)	PUNCT
ejpam-3009	189	21	+	+	CCONJ
ejpam-3009	189	22	(	(	PUNCT
ejpam-3009	189	23	n−	n−	NOUN
ejpam-3009	189	24	3	3	NUM
ejpam-3009	189	25	2	2	NUM
ejpam-3009	189	26	)	)	PUNCT
ejpam-3009	189	27	−	−	PROPN
ejpam-3009	189	28	1−	1−	NUM
ejpam-3009	189	29	2−	2−	NUM
ejpam-3009	189	30	2	2	NUM
ejpam-3009	189	31	(	(	PUNCT
ejpam-3009	189	32	n−	n−	NOUN
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ejpam-3009	189	34	2	2	NUM
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ejpam-3009	189	36	+	+	CCONJ
ejpam-3009	189	37	2	2	NUM
ejpam-3009	189	38	−	−	NOUN
ejpam-3009	189	39	(	(	PUNCT
ejpam-3009	189	40	n−	n−	NOUN
ejpam-3009	189	41	3	3	NUM
ejpam-3009	189	42	3	3	NUM
ejpam-3009	189	43	)	)	PUNCT
ejpam-3009	190	1	+	+	CCONJ
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ejpam-3009	190	3	+	+	NUM
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ejpam-3009	190	10	+	+	CCONJ
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ejpam-3009	191	1	+	+	CCONJ
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ejpam-3009	192	1	.−	.−	PUNCT
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ejpam-3009	193	4	1	1	NUM
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ejpam-3009	193	6	[	[	PUNCT
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ejpam-3009	193	8	+	+	NUM
ejpam-3009	193	9	2−	2−	NUM
ejpam-3009	193	10	2	2	NUM
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ejpam-3009	193	13	+	+	SYM
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ejpam-3009	193	17	+	+	NUM
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ejpam-3009	193	20	n−	n−	NOUN
ejpam-3009	193	21	n−	n−	NOUN
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ejpam-3009	194	1	+	+	CCONJ
ejpam-3009	194	2	(	(	PUNCT
ejpam-3009	194	3	n	n	CCONJ
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ejpam-3009	194	5	)	)	PUNCT
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ejpam-3009	195	2	2	2	X
ejpam-3009	195	3	]	]	PUNCT
ejpam-3009	195	4	=	=	NOUN
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ejpam-3009	196	2	(	(	PUNCT
ejpam-3009	196	3	n	n	ADV
ejpam-3009	196	4	1	1	NUM
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ejpam-3009	196	6	+	+	CCONJ
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ejpam-3009	196	11	+	+	CCONJ
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ejpam-3009	197	1	.+	.+	NOUN
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ejpam-3009	198	2	2n	2n	NUM
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ejpam-3009	199	4	2	2	X
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ejpam-3009	199	13	):	):	PUNCT
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ejpam-3009	203	3	+	+	NUM
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ejpam-3009	203	7	+	+	CCONJ
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ejpam-3009	203	12	[	[	PUNCT
ejpam-3009	203	13	1	1	NUM
ejpam-3009	203	14	+	+	NUM
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ejpam-3009	203	20	+	+	CCONJ
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ejpam-3009	203	28	+	+	CCONJ
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ejpam-3009	203	30	+	+	SYM
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ejpam-3009	203	32	(	(	PUNCT
ejpam-3009	203	33	n−	n−	NOUN
ejpam-3009	203	34	1	1	NUM
ejpam-3009	203	35	1	1	NUM
ejpam-3009	203	36	)	)	PUNCT
ejpam-3009	203	37	+	+	CCONJ
ejpam-3009	203	38	(	(	PUNCT
ejpam-3009	203	39	n−	n−	NOUN
ejpam-3009	203	40	1	1	NUM
ejpam-3009	203	41	2	2	NUM
ejpam-3009	203	42	)	)	PUNCT
ejpam-3009	203	43	+	+	CCONJ
ejpam-3009	203	44	2	2	NUM
ejpam-3009	203	45	(	(	PUNCT
ejpam-3009	203	46	n−	n−	NOUN
ejpam-3009	203	47	1	1	NUM
ejpam-3009	203	48	2	2	NUM
ejpam-3009	203	49	)	)	PUNCT
ejpam-3009	203	50	−	−	PROPN
ejpam-3009	203	51	2	2	NUM
ejpam-3009	203	52	(	(	PUNCT
ejpam-3009	203	53	n−	n−	NOUN
ejpam-3009	203	54	1	1	NUM
ejpam-3009	203	55	2	2	NUM
ejpam-3009	203	56	)	)	PUNCT
ejpam-3009	203	57	−	−	PROPN
ejpam-3009	203	58	(	(	PUNCT
ejpam-3009	203	59	n−	n−	NOUN
ejpam-3009	203	60	1	1	NUM
ejpam-3009	203	61	3	3	NUM
ejpam-3009	203	62	)	)	PUNCT
ejpam-3009	203	63	−	−	PROPN
ejpam-3009	203	64	2	2	NUM
ejpam-3009	203	65	(	(	PUNCT
ejpam-3009	203	66	n−	n−	NOUN
ejpam-3009	203	67	1	1	NUM
ejpam-3009	203	68	3	3	NUM
ejpam-3009	203	69	)	)	PUNCT
ejpam-3009	203	70	+	+	CCONJ
ejpam-3009	203	71	2	2	NUM
ejpam-3009	203	72	(	(	PUNCT
ejpam-3009	203	73	n−	n−	NOUN
ejpam-3009	203	74	1	1	NUM
ejpam-3009	203	75	3	3	NUM
ejpam-3009	203	76	)	)	PUNCT
ejpam-3009	204	1	+	+	CCONJ
ejpam-3009	204	2	(	(	PUNCT
ejpam-3009	204	3	n−	n−	NOUN
ejpam-3009	204	4	1	1	NUM
ejpam-3009	204	5	4	4	NUM
ejpam-3009	204	6	)	)	PUNCT
ejpam-3009	205	1	+	+	CCONJ
ejpam-3009	205	2	2	2	NUM
ejpam-3009	205	3	(	(	PUNCT
ejpam-3009	205	4	n−	n−	NOUN
ejpam-3009	205	5	1	1	NUM
ejpam-3009	205	6	4	4	NUM
ejpam-3009	205	7	)	)	PUNCT
ejpam-3009	205	8	+	+	CCONJ
ejpam-3009	205	9	.	.	PUNCT
ejpam-3009	205	10	.	.	PUNCT
ejpam-3009	205	11	.	.	PUNCT
ejpam-3009	206	1	+	+	CCONJ
ejpam-3009	206	2	(	(	PUNCT
ejpam-3009	206	3	n−	n−	NOUN
ejpam-3009	206	4	1	1	NUM
ejpam-3009	206	5	n−	n−	NOUN
ejpam-3009	206	6	1	1	NUM
ejpam-3009	206	7	)	)	PUNCT
ejpam-3009	206	8	]	]	PUNCT
ejpam-3009	207	1	+	+	CCONJ
ejpam-3009	207	2	(	(	PUNCT
ejpam-3009	207	3	n	n	ADV
ejpam-3009	207	4	2	2	NUM
ejpam-3009	207	5	)	)	PUNCT
ejpam-3009	207	6	[	[	PUNCT
ejpam-3009	207	7	1	1	NUM
ejpam-3009	207	8	+	+	NUM
ejpam-3009	207	9	2−	2−	NUM
ejpam-3009	207	10	n−	n−	NOUN
ejpam-3009	207	11	2	2	NUM
ejpam-3009	207	12	+	+	CCONJ
ejpam-3009	207	13	2	2	NUM
ejpam-3009	207	14	(	(	PUNCT
ejpam-3009	207	15	n−	n−	NOUN
ejpam-3009	207	16	2	2	NUM
ejpam-3009	207	17	1	1	NUM
ejpam-3009	207	18	)	)	PUNCT
ejpam-3009	207	19	+	+	CCONJ
ejpam-3009	207	20	1	1	NUM
ejpam-3009	207	21	+	+	NUM
ejpam-3009	207	22	2	2	NUM
ejpam-3009	207	23	+	+	NUM
ejpam-3009	207	24	2	2	NUM
ejpam-3009	207	25	(	(	PUNCT
ejpam-3009	207	26	n−	n−	NOUN
ejpam-3009	207	27	2	2	NUM
ejpam-3009	207	28	1	1	NUM
ejpam-3009	207	29	)	)	PUNCT
ejpam-3009	208	1	+	+	CCONJ
ejpam-3009	208	2	(	(	PUNCT
ejpam-3009	208	3	n−	n−	NOUN
ejpam-3009	208	4	2	2	NUM
ejpam-3009	208	5	2	2	NUM
ejpam-3009	208	6	)	)	PUNCT
ejpam-3009	209	1	+	+	CCONJ
ejpam-3009	209	2	2	2	NUM
ejpam-3009	209	3	(	(	PUNCT
ejpam-3009	209	4	n−	n−	NOUN
ejpam-3009	209	5	2	2	NUM
ejpam-3009	209	6	2	2	NUM
ejpam-3009	209	7	)	)	PUNCT
ejpam-3009	209	8	−	−	NOUN
ejpam-3009	209	9	2−	2−	NUM
ejpam-3009	209	10	2	2	NUM
ejpam-3009	209	11	(	(	PUNCT
ejpam-3009	209	12	n−	n−	NOUN
ejpam-3009	209	13	2	2	NUM
ejpam-3009	209	14	2	2	NUM
ejpam-3009	209	15	)	)	PUNCT
ejpam-3009	209	16	−	−	PROPN
ejpam-3009	209	17	(	(	PUNCT
ejpam-3009	209	18	n−	n−	NOUN
ejpam-3009	209	19	2	2	NUM
ejpam-3009	209	20	3	3	NUM
ejpam-3009	209	21	)	)	PUNCT
ejpam-3009	209	22	−	−	PROPN
ejpam-3009	209	23	2	2	NUM
ejpam-3009	209	24	(	(	PUNCT
ejpam-3009	209	25	n−	n−	NOUN
ejpam-3009	209	26	2	2	NUM
ejpam-3009	209	27	3	3	NUM
ejpam-3009	209	28	)	)	PUNCT
ejpam-3009	209	29	g.	g.	PROPN
ejpam-3009	209	30	sheeba	sheeba	PROPN
ejpam-3009	209	31	merlin	merlin	PROPN
ejpam-3009	209	32	,	,	PUNCT
ejpam-3009	209	33	a.	a.	NOUN
ejpam-3009	209	34	vethamanickam	vethamanickam	PROPN
ejpam-3009	209	35	/	/	SYM
ejpam-3009	209	36	eur	eur	PROPN
ejpam-3009	209	37	.	.	PUNCT
ejpam-3009	210	1	j.	j.	PROPN
ejpam-3009	210	2	pure	pure	PROPN
ejpam-3009	210	3	appl	appl	PROPN
ejpam-3009	210	4	.	.	PROPN
ejpam-3009	210	5	math	math	PROPN
ejpam-3009	210	6	,	,	PUNCT
ejpam-3009	210	7	10	10	NUM
ejpam-3009	210	8	(	(	PUNCT
ejpam-3009	210	9	4	4	NUM
ejpam-3009	210	10	)	)	PUNCT
ejpam-3009	210	11	(	(	PUNCT
ejpam-3009	210	12	2017	2017	NUM
ejpam-3009	210	13	)	)	PUNCT
ejpam-3009	210	14	,	,	PUNCT
ejpam-3009	210	15	916	916	NUM
ejpam-3009	210	16	-	-	SYM
ejpam-3009	210	17	928	928	NUM
ejpam-3009	210	18	926	926	NUM
ejpam-3009	210	19	+	+	CCONJ
ejpam-3009	210	20	2	2	NUM
ejpam-3009	210	21	(	(	PUNCT
ejpam-3009	210	22	n−	n−	NOUN
ejpam-3009	210	23	2	2	NUM
ejpam-3009	210	24	3	3	NUM
ejpam-3009	210	25	)	)	PUNCT
ejpam-3009	211	1	+	+	CCONJ
ejpam-3009	211	2	(	(	PUNCT
ejpam-3009	211	3	n−	n−	NOUN
ejpam-3009	211	4	2	2	NUM
ejpam-3009	211	5	4	4	NUM
ejpam-3009	211	6	)	)	PUNCT
ejpam-3009	212	1	+	+	CCONJ
ejpam-3009	212	2	2	2	NUM
ejpam-3009	212	3	(	(	PUNCT
ejpam-3009	212	4	n−	n−	NOUN
ejpam-3009	212	5	2	2	NUM
ejpam-3009	212	6	4	4	NUM
ejpam-3009	212	7	)	)	PUNCT
ejpam-3009	212	8	+	+	CCONJ
ejpam-3009	212	9	.	.	PUNCT
ejpam-3009	212	10	.	.	PUNCT
ejpam-3009	213	1	.+	.+	NOUN
ejpam-3009	213	2	(	(	PUNCT
ejpam-3009	213	3	n−	n−	NOUN
ejpam-3009	213	4	2	2	NUM
ejpam-3009	213	5	n−	n−	NOUN
ejpam-3009	213	6	2	2	NUM
ejpam-3009	213	7	)	)	PUNCT
ejpam-3009	213	8	]	]	PUNCT
ejpam-3009	214	1	+	+	CCONJ
ejpam-3009	214	2	(	(	PUNCT
ejpam-3009	214	3	n	n	ADV
ejpam-3009	214	4	3	3	NUM
ejpam-3009	214	5	)	)	PUNCT
ejpam-3009	214	6	[	[	PUNCT
ejpam-3009	214	7	1	1	NUM
ejpam-3009	214	8	+	+	NUM
ejpam-3009	214	9	2−	2−	NUM
ejpam-3009	214	10	n−	n−	NOUN
ejpam-3009	214	11	2	2	NUM
ejpam-3009	214	12	+	+	CCONJ
ejpam-3009	214	13	3	3	NUM
ejpam-3009	214	14	+	+	SYM
ejpam-3009	214	15	2	2	NUM
ejpam-3009	214	16	(	(	PUNCT
ejpam-3009	214	17	n−	n−	NOUN
ejpam-3009	214	18	3	3	NUM
ejpam-3009	214	19	1	1	NUM
ejpam-3009	214	20	)	)	PUNCT
ejpam-3009	214	21	+	+	CCONJ
ejpam-3009	214	22	(	(	PUNCT
ejpam-3009	214	23	n−	n−	NOUN
ejpam-3009	214	24	3	3	NUM
ejpam-3009	214	25	2	2	NUM
ejpam-3009	214	26	)	)	PUNCT
ejpam-3009	214	27	−	−	PROPN
ejpam-3009	214	28	1−	1−	NUM
ejpam-3009	214	29	2−	2−	NUM
ejpam-3009	214	30	2	2	NUM
ejpam-3009	214	31	(	(	PUNCT
ejpam-3009	214	32	n−	n−	NOUN
ejpam-3009	214	33	3	3	NUM
ejpam-3009	214	34	2	2	NUM
ejpam-3009	214	35	)	)	PUNCT
ejpam-3009	214	36	+	+	CCONJ
ejpam-3009	214	37	2	2	NUM
ejpam-3009	214	38	−	−	NOUN
ejpam-3009	214	39	(	(	PUNCT
ejpam-3009	214	40	n−	n−	NOUN
ejpam-3009	214	41	3	3	NUM
ejpam-3009	214	42	3	3	NUM
ejpam-3009	214	43	)	)	PUNCT
ejpam-3009	215	1	+	+	CCONJ
ejpam-3009	215	2	1	1	NUM
ejpam-3009	215	3	+	+	NUM
ejpam-3009	215	4	2	2	NUM
ejpam-3009	215	5	(	(	PUNCT
ejpam-3009	215	6	n−	n−	NOUN
ejpam-3009	215	7	3	3	NUM
ejpam-3009	215	8	3	3	NUM
ejpam-3009	215	9	)	)	PUNCT
ejpam-3009	215	10	+	+	CCONJ
ejpam-3009	215	11	(	(	PUNCT
ejpam-3009	215	12	n−	n−	NOUN
ejpam-3009	215	13	3	3	NUM
ejpam-3009	215	14	n−	n−	NOUN
ejpam-3009	215	15	3	3	NUM
ejpam-3009	215	16	)	)	PUNCT
ejpam-3009	215	17	]	]	PUNCT
ejpam-3009	216	1	+	+	CCONJ
ejpam-3009	216	2	.	.	PUNCT
ejpam-3009	216	3	.	.	PUNCT
ejpam-3009	217	1	.−	.−	PUNCT
ejpam-3009	218	1	(	(	PUNCT
ejpam-3009	218	2	n	n	NUM
ejpam-3009	218	3	n−	n−	NOUN
ejpam-3009	218	4	1	1	NUM
ejpam-3009	218	5	)	)	PUNCT
ejpam-3009	218	6	[	[	PUNCT
ejpam-3009	218	7	1	1	NUM
ejpam-3009	218	8	+	+	NUM
ejpam-3009	218	9	2−	2−	NUM
ejpam-3009	218	10	2	2	NUM
ejpam-3009	218	11	−	−	NOUN
ejpam-3009	218	12	1	1	NUM
ejpam-3009	218	13	+	+	SYM
ejpam-3009	218	14	1−	1−	NUM
ejpam-3009	218	15	1−	1−	NUM
ejpam-3009	218	16	2	2	NUM
ejpam-3009	218	17	+	+	NUM
ejpam-3009	218	18	2−	2−	NUM
ejpam-3009	218	19	(	(	PUNCT
ejpam-3009	218	20	n−	n−	NOUN
ejpam-3009	218	21	n−	n−	NOUN
ejpam-3009	218	22	1	1	NUM
ejpam-3009	218	23	n−	n−	NOUN
ejpam-3009	218	24	n−	n−	NOUN
ejpam-3009	218	25	1	1	NUM
ejpam-3009	218	26	)	)	PUNCT
ejpam-3009	218	27	]	]	PUNCT
ejpam-3009	218	28	−	−	PROPN
ejpam-3009	218	29	(	(	PUNCT
ejpam-3009	218	30	n	n	NOUN
ejpam-3009	218	31	n	n	CCONJ
ejpam-3009	218	32	)	)	PUNCT
ejpam-3009	219	1	[	[	X
ejpam-3009	219	2	2	2	X
ejpam-3009	219	3	]	]	X
ejpam-3009	219	4	=	=	SYM
ejpam-3009	219	5	2	2	NUM
ejpam-3009	219	6	[	[	X
ejpam-3009	219	7	(	(	PUNCT
ejpam-3009	219	8	n	n	NOUN
ejpam-3009	219	9	0	0	NUM
ejpam-3009	219	10	)	)	PUNCT
ejpam-3009	220	1	+	+	CCONJ
ejpam-3009	220	2	(	(	PUNCT
ejpam-3009	220	3	n	n	ADV
ejpam-3009	220	4	2	2	NUM
ejpam-3009	220	5	)	)	PUNCT
ejpam-3009	220	6	+	+	CCONJ
ejpam-3009	220	7	.	.	PUNCT
ejpam-3009	220	8	.	.	PUNCT
ejpam-3009	221	1	.+	.+	NOUN
ejpam-3009	221	2	(	(	PUNCT
ejpam-3009	221	3	n	n	NUM
ejpam-3009	221	4	n−	n−	NOUN
ejpam-3009	221	5	1	1	NUM
ejpam-3009	221	6	)	)	PUNCT
ejpam-3009	221	7	]	]	PUNCT
ejpam-3009	222	1	−	−	PROPN
ejpam-3009	223	1	[	[	X
ejpam-3009	223	2	(	(	PUNCT
ejpam-3009	223	3	n	n	ADV
ejpam-3009	223	4	1	1	NUM
ejpam-3009	223	5	)	)	PUNCT
ejpam-3009	223	6	+	+	CCONJ
ejpam-3009	223	7	(	(	PUNCT
ejpam-3009	223	8	n	n	ADV
ejpam-3009	223	9	2	2	NUM
ejpam-3009	223	10	)	)	PUNCT
ejpam-3009	223	11	+	+	CCONJ
ejpam-3009	223	12	.	.	PUNCT
ejpam-3009	223	13	.	.	PUNCT
ejpam-3009	223	14	.	.	PUNCT
ejpam-3009	224	1	+	+	CCONJ
ejpam-3009	224	2	(	(	PUNCT
ejpam-3009	224	3	n	n	PRON
ejpam-3009	224	4	n−	n−	NOUN
ejpam-3009	224	5	1	1	NUM
ejpam-3009	224	6	)	)	PUNCT
ejpam-3009	224	7	]	]	PUNCT
ejpam-3009	225	1	=	=	PUNCT
ejpam-3009	225	2	2[2n−1	2[2n−1	NUM
ejpam-3009	225	3	−	−	NUM
ejpam-3009	225	4	1]−	1]−	NUM
ejpam-3009	225	5	[	[	X
ejpam-3009	225	6	2n	2n	NUM
ejpam-3009	225	7	−	−	ADP
ejpam-3009	225	8	2	2	X
ejpam-3009	225	9	]	]	X
ejpam-3009	225	10	=	=	NOUN
ejpam-3009	225	11	0	0	NUM
ejpam-3009	225	12	.	.	PUNCT
ejpam-3009	226	1	hence	hence	ADV
ejpam-3009	226	2	the	the	DET
ejpam-3009	226	3	interval	interval	NOUN
ejpam-3009	226	4	[	[	X
ejpam-3009	226	5	∅	∅	NOUN
ejpam-3009	226	6	,	,	PUNCT
ejpam-3009	226	7	s(bn	s(bn	NOUN
ejpam-3009	226	8	)	)	PUNCT
ejpam-3009	226	9	]	]	PUNCT
ejpam-3009	226	10	has	have	VERB
ejpam-3009	226	11	the	the	DET
ejpam-3009	226	12	same	same	ADJ
ejpam-3009	226	13	number	number	NOUN
ejpam-3009	226	14	of	of	ADP
ejpam-3009	226	15	elements	element	NOUN
ejpam-3009	226	16	of	of	ADP
ejpam-3009	226	17	odd	odd	ADJ
ejpam-3009	226	18	and	and	CCONJ
ejpam-3009	226	19	even	even	ADV
ejpam-3009	226	20	rank	rank	VERB
ejpam-3009	226	21	.	.	PUNCT
ejpam-3009	227	1	though	though	SCONJ
ejpam-3009	227	2	in	in	ADP
ejpam-3009	227	3	the	the	DET
ejpam-3009	227	4	above	above	ADJ
ejpam-3009	227	5	theorem	theorem	NOUN
ejpam-3009	227	6	we	we	PRON
ejpam-3009	227	7	have	have	AUX
ejpam-3009	227	8	proved	prove	VERB
ejpam-3009	227	9	that	that	SCONJ
ejpam-3009	227	10	cs(s(bn	cs(s(bn	NOUN
ejpam-3009	227	11	)	)	PUNCT
ejpam-3009	227	12	)	)	PUNCT
ejpam-3009	227	13	is	be	AUX
ejpam-3009	227	14	eulerian	eulerian	ADJ
ejpam-3009	227	15	,	,	PUNCT
ejpam-3009	227	16	it	it	PRON
ejpam-3009	227	17	is	be	AUX
ejpam-3009	227	18	not	not	PART
ejpam-3009	227	19	dual	dual	ADJ
ejpam-3009	227	20	simplicial	simplicial	ADJ
ejpam-3009	227	21	.	.	PUNCT
ejpam-3009	228	1	for	for	ADP
ejpam-3009	228	2	example	example	NOUN
ejpam-3009	228	3	,	,	PUNCT
ejpam-3009	228	4	cs(s(b2	cs(s(b2	PROPN
ejpam-3009	228	5	)	)	PUNCT
ejpam-3009	228	6	)	)	PUNCT
ejpam-3009	229	1	itself	itself	PRON
ejpam-3009	229	2	is	be	AUX
ejpam-3009	229	3	not	not	PART
ejpam-3009	229	4	dual	dual	ADJ
ejpam-3009	229	5	simplicial	simplicial	ADJ
ejpam-3009	229	6	.	.	PUNCT
ejpam-3009	230	1	for	for	ADP
ejpam-3009	230	2	a	a	DET
ejpam-3009	230	3	general	general	ADJ
ejpam-3009	230	4	nonboolean	nonboolean	ADJ
ejpam-3009	230	5	eulerian	eulerian	ADJ
ejpam-3009	230	6	lattice	lattice	NOUN
ejpam-3009	230	7	it	it	PRON
ejpam-3009	230	8	seems	seem	VERB
ejpam-3009	230	9	difficult	difficult	ADJ
ejpam-3009	230	10	to	to	PART
ejpam-3009	230	11	decide	decide	VERB
ejpam-3009	230	12	the	the	DET
ejpam-3009	230	13	structure	structure	NOUN
ejpam-3009	230	14	,	,	PUNCT
ejpam-3009	230	15	but	but	CCONJ
ejpam-3009	230	16	for	for	ADP
ejpam-3009	230	17	cn	cn	PROPN
ejpam-3009	230	18	we	we	PRON
ejpam-3009	230	19	give	give	VERB
ejpam-3009	230	20	the	the	DET
ejpam-3009	230	21	proof	proof	NOUN
ejpam-3009	230	22	in	in	ADP
ejpam-3009	230	23	the	the	DET
ejpam-3009	230	24	next	next	ADJ
ejpam-3009	230	25	section	section	NOUN
ejpam-3009	230	26	.	.	PUNCT
ejpam-3009	231	1	4	4	X
ejpam-3009	231	2	.	.	X
ejpam-3009	231	3	convex	convex	PROPN
ejpam-3009	231	4	sublattices	sublattice	NOUN
ejpam-3009	231	5	of	of	ADP
ejpam-3009	231	6	s(cn	s(cn	NOUN
ejpam-3009	231	7	)	)	PUNCT
ejpam-3009	231	8	theorem	theorem	VERB
ejpam-3009	231	9	4.1	4.1	NUM
ejpam-3009	231	10	.	.	PUNCT
ejpam-3009	232	1	the	the	DET
ejpam-3009	232	2	lattice	lattice	NOUN
ejpam-3009	232	3	of	of	ADP
ejpam-3009	232	4	convex	convex	ADJ
ejpam-3009	232	5	sublattices	sublattice	NOUN
ejpam-3009	232	6	of	of	ADP
ejpam-3009	232	7	s(cn	s(cn	NOUN
ejpam-3009	232	8	)	)	PUNCT
ejpam-3009	232	9	with	with	ADP
ejpam-3009	232	10	respect	respect	NOUN
ejpam-3009	232	11	to	to	ADP
ejpam-3009	232	12	the	the	DET
ejpam-3009	232	13	set	set	VERB
ejpam-3009	232	14	inclusion	inclusion	NOUN
ejpam-3009	232	15	relation	relation	NOUN
ejpam-3009	232	16	is	be	AUX
ejpam-3009	232	17	an	an	DET
ejpam-3009	232	18	eulerian	eulerian	ADJ
ejpam-3009	232	19	lattice	lattice	NOUN
ejpam-3009	232	20	.	.	PUNCT
ejpam-3009	233	1	proof	proof	NOUN
ejpam-3009	233	2	.	.	PUNCT
ejpam-3009	234	1	we	we	PRON
ejpam-3009	234	2	are	be	AUX
ejpam-3009	234	3	going	go	VERB
ejpam-3009	234	4	to	to	PART
ejpam-3009	234	5	prove	prove	VERB
ejpam-3009	234	6	that	that	SCONJ
ejpam-3009	234	7	cs(s(cn	cs(s(cn	NOUN
ejpam-3009	234	8	)	)	PUNCT
ejpam-3009	234	9	)	)	PUNCT
ejpam-3009	234	10	is	be	AUX
ejpam-3009	234	11	eulerian	eulerian	ADJ
ejpam-3009	234	12	.	.	PUNCT
ejpam-3009	235	1	that	that	PRON
ejpam-3009	235	2	is	be	AUX
ejpam-3009	235	3	to	to	PART
ejpam-3009	235	4	prove	prove	VERB
ejpam-3009	235	5	the	the	DET
ejpam-3009	235	6	interval	interval	NOUN
ejpam-3009	235	7	[	[	X
ejpam-3009	235	8	5	5	NUM
ejpam-3009	235	9	,	,	PUNCT
ejpam-3009	235	10	s(cn	s(cn	NUM
ejpam-3009	235	11	)	)	PUNCT
ejpam-3009	235	12	]	]	PUNCT
ejpam-3009	236	1	has	have	VERB
ejpam-3009	236	2	the	the	DET
ejpam-3009	236	3	same	same	ADJ
ejpam-3009	236	4	number	number	NOUN
ejpam-3009	236	5	of	of	ADP
ejpam-3009	236	6	elements	element	NOUN
ejpam-3009	236	7	of	of	ADP
ejpam-3009	236	8	odd	odd	ADJ
ejpam-3009	236	9	and	and	CCONJ
ejpam-3009	236	10	even	even	ADV
ejpam-3009	236	11	rank	rank	PROPN
ejpam-3009	236	12	.	.	PUNCT
ejpam-3009	237	1	let	let	VERB
ejpam-3009	237	2	ai	ai	AUX
ejpam-3009	237	3	be	be	AUX
ejpam-3009	237	4	the	the	DET
ejpam-3009	237	5	number	number	NOUN
ejpam-3009	237	6	of	of	ADP
ejpam-3009	237	7	elements	element	NOUN
ejpam-3009	237	8	of	of	ADP
ejpam-3009	237	9	rank	rank	NOUN
ejpam-3009	237	10	i	i	PRON
ejpam-3009	237	11	in	in	ADP
ejpam-3009	237	12	cs(s(cn	cs(s(cn	PROPN
ejpam-3009	237	13	)	)	PUNCT
ejpam-3009	237	14	)	)	PUNCT
ejpam-3009	237	15	.	.	PUNCT
ejpam-3009	238	1	a1	a1	NOUN
ejpam-3009	238	2	=	=	NOUN
ejpam-3009	238	3	the	the	DET
ejpam-3009	238	4	number	number	NOUN
ejpam-3009	238	5	of	of	ADP
ejpam-3009	238	6	singleton	singleton	PROPN
ejpam-3009	238	7	subsets	subset	NOUN
ejpam-3009	238	8	of	of	ADP
ejpam-3009	238	9	cs(s(cn	cs(s(cn	NOUN
ejpam-3009	238	10	)	)	PUNCT
ejpam-3009	238	11	)	)	PUNCT
ejpam-3009	239	1	=	=	SYM
ejpam-3009	239	2	1	1	NUM
ejpam-3009	239	3	+	+	CCONJ
ejpam-3009	239	4	n+	n+	NUM
ejpam-3009	239	5	2	2	NUM
ejpam-3009	239	6	+	+	NUM
ejpam-3009	239	7	3n+	3n+	NUM
ejpam-3009	239	8	2n+	2n+	NUM
ejpam-3009	239	9	1	1	NUM
ejpam-3009	239	10	=	=	SYM
ejpam-3009	239	11	6n+	6n+	NUM
ejpam-3009	239	12	4	4	NUM
ejpam-3009	239	13	.	.	PUNCT
ejpam-3009	240	1	(	(	PUNCT
ejpam-3009	240	2	18	18	NUM
ejpam-3009	240	3	)	)	PUNCT
ejpam-3009	240	4	a2	a2	NOUN
ejpam-3009	240	5	=	=	PRON
ejpam-3009	241	1	the	the	DET
ejpam-3009	241	2	number	number	NOUN
ejpam-3009	241	3	of	of	ADP
ejpam-3009	241	4	rank	rank	NOUN
ejpam-3009	241	5	2	2	NUM
ejpam-3009	241	6	elements	element	NOUN
ejpam-3009	241	7	in	in	ADP
ejpam-3009	241	8	cs(s(cn	cs(s(cn	NOUN
ejpam-3009	241	9	)	)	PUNCT
ejpam-3009	241	10	)	)	PUNCT
ejpam-3009	242	1	=	=	SYM
ejpam-3009	242	2	2	2	NUM
ejpam-3009	242	3	+	+	CCONJ
ejpam-3009	242	4	n+	n+	NUM
ejpam-3009	242	5	2n+	2n+	NUM
ejpam-3009	242	6	4n+	4n+	NUM
ejpam-3009	242	7	4n+	4n+	NUM
ejpam-3009	242	8	2n+	2n+	NUM
ejpam-3009	242	9	2n	2n	NUM
ejpam-3009	242	10	=	=	SYM
ejpam-3009	242	11	15n+	15n+	NUM
ejpam-3009	242	12	2	2	NUM
ejpam-3009	242	13	.	.	PUNCT
ejpam-3009	242	14	(	(	PUNCT
ejpam-3009	242	15	19	19	NUM
ejpam-3009	242	16	)	)	PUNCT
ejpam-3009	242	17	a3	a3	NOUN
ejpam-3009	242	18	=	=	PUNCT
ejpam-3009	242	19	the	the	DET
ejpam-3009	242	20	number	number	NOUN
ejpam-3009	242	21	of	of	ADP
ejpam-3009	242	22	4	4	NUM
ejpam-3009	242	23	-	-	PUNCT
ejpam-3009	242	24	element	element	NOUN
ejpam-3009	242	25	sublattices	sublattice	NOUN
ejpam-3009	242	26	references	reference	VERB
ejpam-3009	242	27	927	927	NUM
ejpam-3009	242	28	b	b	PROPN
ejpam-3009	242	29	b	b	PROPN
ejpam-3009	242	30	b	b	PROPN
ejpam-3009	242	31	b	b	PROPN
ejpam-3009	242	32	b	b	PROPN
ejpam-3009	242	33	b	b	PROPN
ejpam-3009	242	34	b	b	PROPN
ejpam-3009	242	35	b	b	PROPN
ejpam-3009	242	36	b	b	PROPN
ejpam-3009	242	37	b	b	PROPN
ejpam-3009	242	38	b	b	PROPN
ejpam-3009	242	39	b	b	PROPN
ejpam-3009	242	40	b	b	PROPN
ejpam-3009	242	41	b	b	PROPN
ejpam-3009	242	42	b	b	PROPN
ejpam-3009	242	43	b	b	PROPN
ejpam-3009	242	44	b	b	PROPN
ejpam-3009	242	45	b	b	PROPN
ejpam-3009	242	46	b	b	PROPN
ejpam-3009	242	47	b	b	PROPN
ejpam-3009	242	48	b	b	PROPN
ejpam-3009	242	49	b	b	PROPN
ejpam-3009	242	50	b	b	PROPN
ejpam-3009	242	51	b	b	PROPN
ejpam-3009	242	52	b	b	PROPN
ejpam-3009	242	53	b	b	PROPN
ejpam-3009	242	54	b	b	PROPN
ejpam-3009	242	55	b	b	PROPN
ejpam-3009	242	56	b	b	PROPN
ejpam-3009	242	57	b	b	PROPN
ejpam-3009	242	58	b	b	PROPN
ejpam-3009	242	59	b	b	PROPN
ejpam-3009	242	60	b	b	PROPN
ejpam-3009	242	61	b	b	PROPN
ejpam-3009	242	62	1	1	NUM
ejpam-3009	242	63	0	0	NUM
ejpam-3009	242	64	figure	figure	NOUN
ejpam-3009	242	65	5	5	NUM
ejpam-3009	242	66	:	:	PUNCT
ejpam-3009	242	67	s(c5	s(c5	ADJ
ejpam-3009	242	68	)	)	PUNCT
ejpam-3009	243	1	=	=	SYM
ejpam-3009	243	2	2n+	2n+	NUM
ejpam-3009	243	3	n+	n+	NUM
ejpam-3009	243	4	2n+	2n+	NUM
ejpam-3009	243	5	2n+	2n+	NUM
ejpam-3009	243	6	2n+	2n+	NUM
ejpam-3009	243	7	2n+	2n+	NUM
ejpam-3009	243	8	n	n	NOUN
ejpam-3009	243	9	=	=	NOUN
ejpam-3009	243	10	12n	12n	NOUN
ejpam-3009	243	11	.	.	PUNCT
ejpam-3009	244	1	(	(	PUNCT
ejpam-3009	244	2	20	20	NUM
ejpam-3009	244	3	)	)	PUNCT
ejpam-3009	244	4	a4	a4	NOUN
ejpam-3009	244	5	=	=	NOUN
ejpam-3009	244	6	the	the	DET
ejpam-3009	244	7	number	number	NOUN
ejpam-3009	244	8	of	of	ADP
ejpam-3009	244	9	rank	rank	NOUN
ejpam-3009	244	10	3	3	NUM
ejpam-3009	244	11	sublattices	sublattice	NOUN
ejpam-3009	244	12	=	=	SYM
ejpam-3009	244	13	2n+	2n+	NUM
ejpam-3009	244	14	n+	n+	SYM
ejpam-3009	244	15	2	2	NUM
ejpam-3009	244	16	=	=	SYM
ejpam-3009	244	17	3n+	3n+	NUM
ejpam-3009	244	18	2	2	NUM
ejpam-3009	244	19	.	.	PUNCT
ejpam-3009	245	1	(	(	PUNCT
ejpam-3009	245	2	21	21	NUM
ejpam-3009	245	3	)	)	PUNCT
ejpam-3009	245	4	therefore	therefore	ADV
ejpam-3009	245	5	,	,	PUNCT
ejpam-3009	245	6	a1	a1	PROPN
ejpam-3009	245	7	−a2	−a2	PROPN
ejpam-3009	245	8	+	+	PROPN
ejpam-3009	245	9	a3	a3	NOUN
ejpam-3009	245	10	−a4	−a4	ADV
ejpam-3009	245	11	=	=	SYM
ejpam-3009	246	1	6n+	6n+	NUM
ejpam-3009	246	2	4−	4−	NUM
ejpam-3009	246	3	15n−	15n−	NUM
ejpam-3009	246	4	2	2	NUM
ejpam-3009	246	5	+	+	CCONJ
ejpam-3009	246	6	12n−	12n−	NUM
ejpam-3009	246	7	3n−	3n−	NUM
ejpam-3009	246	8	2	2	NUM
ejpam-3009	246	9	=	=	SYM
ejpam-3009	246	10	0	0	NUM
ejpam-3009	246	11	.	.	PUNCT
ejpam-3009	247	1	hence	hence	ADV
ejpam-3009	247	2	the	the	DET
ejpam-3009	247	3	interval	interval	NOUN
ejpam-3009	247	4	[	[	X
ejpam-3009	247	5	5	5	NUM
ejpam-3009	247	6	,	,	PUNCT
ejpam-3009	247	7	s(cn	s(cn	NUM
ejpam-3009	247	8	)	)	PUNCT
ejpam-3009	247	9	]	]	PUNCT
ejpam-3009	247	10	has	have	VERB
ejpam-3009	247	11	a	a	DET
ejpam-3009	247	12	same	same	ADJ
ejpam-3009	247	13	number	number	NOUN
ejpam-3009	247	14	of	of	ADP
ejpam-3009	247	15	elements	element	NOUN
ejpam-3009	247	16	of	of	ADP
ejpam-3009	247	17	odd	odd	ADJ
ejpam-3009	247	18	and	and	CCONJ
ejpam-3009	247	19	even	even	ADV
ejpam-3009	247	20	rank	rank	PROPN
ejpam-3009	247	21	.	.	PUNCT
ejpam-3009	248	1	references	reference	NOUN
ejpam-3009	248	2	[	[	X
ejpam-3009	248	3	1	1	NUM
ejpam-3009	248	4	]	]	X
ejpam-3009	248	5	chen	chen	PROPN
ejpam-3009	248	6	c.	c.	PROPN
ejpam-3009	248	7	k.	k.	PROPN
ejpam-3009	248	8	,	,	PUNCT
ejpam-3009	248	9	koh	koh	PROPN
ejpam-3009	248	10	k.	k.	PROPN
ejpam-3009	248	11	m.	m.	PROPN
ejpam-3009	248	12	,	,	PUNCT
ejpam-3009	248	13	on	on	ADP
ejpam-3009	248	14	the	the	DET
ejpam-3009	248	15	lattice	lattice	NOUN
ejpam-3009	248	16	of	of	ADP
ejpam-3009	248	17	convex	convex	ADJ
ejpam-3009	248	18	sublattices	sublattice	NOUN
ejpam-3009	248	19	of	of	ADP
ejpam-3009	248	20	a	a	DET
ejpam-3009	248	21	finite	finite	PROPN
ejpam-3009	248	22	lattice	lattice	PROPN
ejpam-3009	248	23	,	,	PUNCT
ejpam-3009	248	24	nanta	nanta	ADJ
ejpam-3009	248	25	math	math	NOUN
ejpam-3009	248	26	.	.	PUNCT
ejpam-3009	249	1	,	,	PUNCT
ejpam-3009	249	2	5	5	NUM
ejpam-3009	249	3	(	(	PUNCT
ejpam-3009	249	4	1972	1972	NUM
ejpam-3009	249	5	)	)	PUNCT
ejpam-3009	249	6	,	,	PUNCT
ejpam-3009	249	7	92–95	92–95	NUM
ejpam-3009	249	8	.	.	PUNCT
ejpam-3009	250	1	[	[	X
ejpam-3009	250	2	2	2	NUM
ejpam-3009	250	3	]	]	X
ejpam-3009	250	4	gratzer	gratzer	PROPN
ejpam-3009	250	5	g.	g.	PROPN
ejpam-3009	250	6	,	,	PUNCT
ejpam-3009	250	7	general	general	PROPN
ejpam-3009	250	8	lattice	lattice	PROPN
ejpam-3009	250	9	theory	theory	NOUN
ejpam-3009	250	10	,	,	PUNCT
ejpam-3009	250	11	birkhauser	birkhaus	ADJ
ejpam-3009	250	12	verlag	verlag	PROPN
ejpam-3009	250	13	,	,	PUNCT
ejpam-3009	250	14	basel	basel	PROPN
ejpam-3009	250	15	,	,	PUNCT
ejpam-3009	250	16	1978	1978	NUM
ejpam-3009	250	17	.	.	PUNCT
ejpam-3009	251	1	[	[	X
ejpam-3009	251	2	3	3	X
ejpam-3009	251	3	]	]	X
ejpam-3009	251	4	koh	koh	PROPN
ejpam-3009	251	5	k.	k.	PROPN
ejpam-3009	251	6	m.	m.	PROPN
ejpam-3009	251	7	,	,	PUNCT
ejpam-3009	251	8	on	on	ADP
ejpam-3009	251	9	the	the	DET
ejpam-3009	251	10	lattice	lattice	NOUN
ejpam-3009	251	11	of	of	ADP
ejpam-3009	251	12	convex	convex	ADJ
ejpam-3009	251	13	sublattices	sublattice	NOUN
ejpam-3009	251	14	of	of	ADP
ejpam-3009	251	15	a	a	DET
ejpam-3009	251	16	finite	finite	PROPN
ejpam-3009	251	17	lattice	lattice	PROPN
ejpam-3009	251	18	,	,	PUNCT
ejpam-3009	251	19	nanta	nanta	ADJ
ejpam-3009	251	20	math	math	NOUN
ejpam-3009	251	21	.	.	PUNCT
ejpam-3009	251	22	,	,	PUNCT
ejpam-3009	251	23	5	5	NUM
ejpam-3009	251	24	(	(	PUNCT
ejpam-3009	251	25	1972	1972	NUM
ejpam-3009	251	26	)	)	PUNCT
ejpam-3009	251	27	,	,	PUNCT
ejpam-3009	251	28	18–37	18–37	NOUN
ejpam-3009	251	29	.	.	PUNCT
ejpam-3009	252	1	[	[	X
ejpam-3009	252	2	4	4	X
ejpam-3009	252	3	]	]	X
ejpam-3009	252	4	lavanya	lavanya	ADJ
ejpam-3009	252	5	s.	s.	PROPN
ejpam-3009	252	6	,	,	PUNCT
ejpam-3009	252	7	parameshwara	parameshwara	PROPN
ejpam-3009	252	8	bhatta	bhatta	PROPN
ejpam-3009	252	9	s.	s.	PROPN
ejpam-3009	252	10	,	,	PUNCT
ejpam-3009	252	11	a	a	DET
ejpam-3009	252	12	new	new	ADJ
ejpam-3009	252	13	approach	approach	NOUN
ejpam-3009	252	14	to	to	ADP
ejpam-3009	252	15	the	the	DET
ejpam-3009	252	16	lattice	lattice	NOUN
ejpam-3009	252	17	of	of	ADP
ejpam-3009	252	18	convex	convex	ADJ
ejpam-3009	252	19	sublattices	sublattice	NOUN
ejpam-3009	252	20	of	of	ADP
ejpam-3009	252	21	a	a	DET
ejpam-3009	252	22	lattice	lattice	NOUN
ejpam-3009	252	23	,	,	PUNCT
ejpam-3009	252	24	algebra	algebra	PROPN
ejpam-3009	252	25	univ	univ	PROPN
ejpam-3009	252	26	.	.	PROPN
ejpam-3009	252	27	,	,	PUNCT
ejpam-3009	252	28	35	35	NUM
ejpam-3009	252	29	(	(	PUNCT
ejpam-3009	252	30	1996	1996	NUM
ejpam-3009	252	31	)	)	PUNCT
ejpam-3009	252	32	,	,	PUNCT
ejpam-3009	252	33	63–71	63–71	NOUN
ejpam-3009	252	34	.	.	PUNCT
ejpam-3009	253	1	references	reference	NOUN
ejpam-3009	253	2	928	928	NUM
ejpam-3009	253	3	[	[	SYM
ejpam-3009	253	4	5	5	NUM
ejpam-3009	253	5	]	]	PUNCT
ejpam-3009	253	6	paffenholz	paffenholz	NOUN
ejpam-3009	253	7	a.	a.	NOUN
ejpam-3009	253	8	,	,	PUNCT
ejpam-3009	253	9	constructions	construction	NOUN
ejpam-3009	253	10	for	for	ADP
ejpam-3009	253	11	posets	poset	NOUN
ejpam-3009	253	12	,	,	PUNCT
ejpam-3009	253	13	lattices	lattice	NOUN
ejpam-3009	253	14	and	and	CCONJ
ejpam-3009	253	15	polytopes	polytope	NOUN
ejpam-3009	253	16	,	,	PUNCT
ejpam-3009	253	17	doctoral	doctoral	ADJ
ejpam-3009	253	18	dissertation	dissertation	NOUN
ejpam-3009	253	19	,	,	PUNCT
ejpam-3009	253	20	school	school	NOUN
ejpam-3009	253	21	of	of	ADP
ejpam-3009	253	22	mathematics	mathematic	NOUN
ejpam-3009	253	23	and	and	CCONJ
ejpam-3009	253	24	natural	natural	ADJ
ejpam-3009	253	25	sciences	science	NOUN
ejpam-3009	253	26	,	,	PUNCT
ejpam-3009	253	27	technical	technical	ADJ
ejpam-3009	253	28	university	university	PROPN
ejpam-3009	253	29	of	of	ADP
ejpam-3009	253	30	berlin	berlin	PROPN
ejpam-3009	253	31	,	,	PUNCT
ejpam-3009	253	32	(	(	PUNCT
ejpam-3009	253	33	2005	2005	NUM
ejpam-3009	253	34	)	)	PUNCT
ejpam-3009	253	35	.	.	PUNCT
ejpam-3009	254	1	[	[	X
ejpam-3009	254	2	6	6	NUM
ejpam-3009	254	3	]	]	PUNCT
ejpam-3009	254	4	ramana	ramana	PROPN
ejpam-3009	254	5	murty	murty	PROPN
ejpam-3009	255	1	p.	p.	PROPN
ejpam-3009	255	2	v.	v.	CCONJ
ejpam-3009	256	1	,	,	PUNCT
ejpam-3009	256	2	on	on	ADP
ejpam-3009	256	3	the	the	DET
ejpam-3009	256	4	lattice	lattice	NOUN
ejpam-3009	256	5	of	of	ADP
ejpam-3009	256	6	convex	convex	ADJ
ejpam-3009	256	7	sublattices	sublattice	NOUN
ejpam-3009	256	8	of	of	ADP
ejpam-3009	256	9	a	a	DET
ejpam-3009	256	10	lattice	lattice	NOUN
ejpam-3009	256	11	,	,	PUNCT
ejpam-3009	256	12	southeast	southeast	ADJ
ejpam-3009	256	13	asian	asian	ADJ
ejpam-3009	256	14	bulletin	bulletin	NOUN
ejpam-3009	256	15	of	of	ADP
ejpam-3009	256	16	mathematics	mathematic	NOUN
ejpam-3009	256	17	,	,	PUNCT
ejpam-3009	256	18	26	26	NUM
ejpam-3009	256	19	(	(	PUNCT
ejpam-3009	256	20	2002	2002	NUM
ejpam-3009	256	21	)	)	PUNCT
ejpam-3009	256	22	,	,	PUNCT
ejpam-3009	256	23	51–55	51–55	NUM
ejpam-3009	256	24	.	.	PUNCT
ejpam-3009	257	1	[	[	X
ejpam-3009	257	2	7	7	NUM
ejpam-3009	257	3	]	]	SYM
ejpam-3009	257	4	rota	rota	PROPN
ejpam-3009	257	5	c.	c.	PROPN
ejpam-3009	257	6	g.	g.	PROPN
ejpam-3009	257	7	,	,	PUNCT
ejpam-3009	257	8	on	on	ADP
ejpam-3009	257	9	the	the	DET
ejpam-3009	257	10	foundations	foundation	NOUN
ejpam-3009	257	11	of	of	ADP
ejpam-3009	257	12	combinatorial	combinatorial	ADJ
ejpam-3009	257	13	theory	theory	NOUN
ejpam-3009	257	14	i	i	PRON
ejpam-3009	257	15	,	,	PUNCT
ejpam-3009	257	16	theory	theory	NOUN
ejpam-3009	257	17	of	of	ADP
ejpam-3009	257	18	mobius	mobius	PROPN
ejpam-3009	257	19	functions	function	NOUN
ejpam-3009	257	20	,	,	PUNCT
ejpam-3009	257	21	z.	z.	PROPN
ejpam-3009	257	22	wahrschainlichkeitstheorie	wahrschainlichkeitstheorie	PROPN
ejpam-3009	257	23	,	,	PUNCT
ejpam-3009	257	24	2	2	NUM
ejpam-3009	257	25	(	(	PUNCT
ejpam-3009	257	26	1964	1964	NUM
ejpam-3009	257	27	)	)	PUNCT
ejpam-3009	257	28	,	,	PUNCT
ejpam-3009	257	29	340–368	340–368	NUM
ejpam-3009	257	30	.	.	PUNCT
ejpam-3009	258	1	[	[	X
ejpam-3009	258	2	8	8	NUM
ejpam-3009	258	3	]	]	X
ejpam-3009	258	4	stanley	stanley	PROPN
ejpam-3009	258	5	r.p	r.p	PROPN
ejpam-3009	258	6	.	.	PROPN
ejpam-3009	258	7	,	,	PUNCT
ejpam-3009	258	8	some	some	DET
ejpam-3009	258	9	aspects	aspect	NOUN
ejpam-3009	258	10	of	of	ADP
ejpam-3009	258	11	groups	group	NOUN
ejpam-3009	258	12	acting	act	VERB
ejpam-3009	258	13	on	on	ADP
ejpam-3009	258	14	finite	finite	ADJ
ejpam-3009	258	15	posets	poset	NOUN
ejpam-3009	258	16	,	,	PUNCT
ejpam-3009	258	17	j.	j.	PROPN
ejpam-3009	258	18	combinatoria	combinatoria	PROPN
ejpam-3009	258	19	theory	theory	NOUN
ejpam-3009	258	20	,	,	PUNCT
ejpam-3009	258	21	a.	a.	NOUN
ejpam-3009	258	22	32	32	NUM
ejpam-3009	258	23	(	(	PUNCT
ejpam-3009	258	24	1982	1982	NUM
ejpam-3009	258	25	)	)	PUNCT
ejpam-3009	258	26	,	,	PUNCT
ejpam-3009	258	27	131–161	131–161	NUM
ejpam-3009	258	28	.	.	PUNCT
ejpam-3009	259	1	[	[	X
ejpam-3009	259	2	9	9	NUM
ejpam-3009	259	3	]	]	SYM
ejpam-3009	259	4	stanley	stanley	PROPN
ejpam-3009	259	5	r.p	r.p	PROPN
ejpam-3009	259	6	.	.	PROPN
ejpam-3009	259	7	,	,	PUNCT
ejpam-3009	259	8	a	a	DET
ejpam-3009	259	9	survey	survey	NOUN
ejpam-3009	259	10	of	of	ADP
ejpam-3009	259	11	eulerian	eulerian	ADJ
ejpam-3009	259	12	posets	poset	NOUN
ejpam-3009	259	13	,	,	PUNCT
ejpam-3009	259	14	polytops	polytop	NOUN
ejpam-3009	259	15	:	:	PUNCT
ejpam-3009	259	16	abstract	abstract	ADJ
ejpam-3009	259	17	,	,	PUNCT
ejpam-3009	259	18	convex	convex	ADJ
ejpam-3009	259	19	and	and	CCONJ
ejpam-3009	259	20	computational	computational	ADJ
ejpam-3009	259	21	,	,	PUNCT
ejpam-3009	259	22	kluwer	kluwer	NOUN
ejpam-3009	259	23	acad	acad	PROPN
ejpam-3009	259	24	.	.	PUNCT
ejpam-3009	260	1	publi	publi	PROPN
ejpam-3009	260	2	.	.	PUNCT
ejpam-3009	260	3	,	,	PUNCT
ejpam-3009	260	4	dordrecht	dordrecht	PROPN
ejpam-3009	260	5	,	,	PUNCT
ejpam-3009	260	6	(	(	PUNCT
ejpam-3009	260	7	1994	1994	NUM
ejpam-3009	260	8	)	)	PUNCT
ejpam-3009	260	9	,	,	PUNCT
ejpam-3009	260	10	301–333	301–333	NUM
ejpam-3009	260	11	.	.	PUNCT
ejpam-3009	261	1	[	[	X
ejpam-3009	261	2	10	10	NUM
ejpam-3009	261	3	]	]	X
ejpam-3009	261	4	stanley	stanley	PROPN
ejpam-3009	261	5	r.p	r.p	PROPN
ejpam-3009	261	6	.	.	PROPN
ejpam-3009	261	7	,	,	PUNCT
ejpam-3009	261	8	enumerative	enumerative	ADJ
ejpam-3009	261	9	combinatorics	combinatoric	NOUN
ejpam-3009	261	10	,	,	PUNCT
ejpam-3009	261	11	woodsworth	woodsworth	NOUN
ejpam-3009	261	12	&	&	CCONJ
ejpam-3009	261	13	brooks	brooks	PROPN
ejpam-3009	261	14	,	,	PUNCT
ejpam-3009	261	15	cole	cole	PROPN
ejpam-3009	261	16	,	,	PUNCT
ejpam-3009	261	17	vol	vol	NOUN
ejpam-3009	261	18	1	1	NUM
ejpam-3009	261	19	,	,	PUNCT
ejpam-3009	261	20	1986	1986	NUM
ejpam-3009	261	21	.	.	PUNCT
ejpam-3009	262	1	[	[	X
ejpam-3009	262	2	11	11	NUM
ejpam-3009	262	3	]	]	X
ejpam-3009	262	4	santhi	santhi	ADV
ejpam-3009	262	5	v.	v.	ADP
ejpam-3009	262	6	k.	k.	PROPN
ejpam-3009	262	7	,	,	PUNCT
ejpam-3009	262	8	topics	topic	NOUN
ejpam-3009	262	9	in	in	ADP
ejpam-3009	262	10	commutative	commutative	ADJ
ejpam-3009	262	11	algebra	algebra	NOUN
ejpam-3009	262	12	,	,	PUNCT
ejpam-3009	262	13	ph	ph	PROPN
ejpam-3009	262	14	.	.	PUNCT
ejpam-3009	262	15	d	d	X
ejpam-3009	262	16	thesis	thesis	NOUN
ejpam-3009	262	17	,	,	PUNCT
ejpam-3009	262	18	madurai	madurai	NOUN
ejpam-3009	262	19	kamaraj	kamaraj	ADJ
ejpam-3009	262	20	university	university	NOUN
ejpam-3009	262	21	,	,	PUNCT
ejpam-3009	262	22	1992	1992	NUM
ejpam-3009	262	23	.	.	PUNCT
ejpam-3009	263	1	[	[	X
ejpam-3009	263	2	12	12	NUM
ejpam-3009	263	3	]	]	X
ejpam-3009	263	4	vethamanickam	vethamanickam	PROPN
ejpam-3009	263	5	a.	a.	NOUN
ejpam-3009	263	6	,	,	PUNCT
ejpam-3009	263	7	topics	topic	NOUN
ejpam-3009	263	8	in	in	ADP
ejpam-3009	263	9	universal	universal	ADJ
ejpam-3009	263	10	algebra	algebra	NOUN
ejpam-3009	263	11	,	,	PUNCT
ejpam-3009	263	12	ph	ph	PROPN
ejpam-3009	263	13	.	.	PUNCT
ejpam-3009	263	14	d	d	X
ejpam-3009	263	15	thesis	thesis	NOUN
ejpam-3009	263	16	,	,	PUNCT
ejpam-3009	263	17	madurai	madurai	NOUN
ejpam-3009	263	18	kamaraj	kamaraj	ADJ
ejpam-3009	263	19	university	university	NOUN
ejpam-3009	263	20	,	,	PUNCT
ejpam-3009	263	21	1994	1994	NUM
ejpam-3009	263	22	.	.	PUNCT
ejpam-3009	264	1	[	[	X
ejpam-3009	264	2	13	13	NUM
ejpam-3009	264	3	]	]	X
ejpam-3009	264	4	vethamanickam	vethamanickam	PROPN
ejpam-3009	264	5	a.	a.	PROPN
ejpam-3009	264	6	,	,	PUNCT
ejpam-3009	264	7	subbarayan	subbarayan	PROPN
ejpam-3009	264	8	r.	r.	PROPN
ejpam-3009	264	9	,	,	PUNCT
ejpam-3009	264	10	some	some	DET
ejpam-3009	264	11	simple	simple	ADJ
ejpam-3009	264	12	extensions	extension	NOUN
ejpam-3009	264	13	of	of	ADP
ejpam-3009	264	14	eulerian	eulerian	ADJ
ejpam-3009	264	15	lattices	lattice	NOUN
ejpam-3009	264	16	,	,	PUNCT
ejpam-3009	264	17	acta	acta	PROPN
ejpam-3009	264	18	math	math	PROPN
ejpam-3009	264	19	.	.	PUNCT
ejpam-3009	265	1	univ	univ	PROPN
ejpam-3009	265	2	.	.	PROPN
ejpam-3009	265	3	,	,	PUNCT
ejpam-3009	265	4	comenianae	comenianae	NOUN
ejpam-3009	265	5	,	,	PUNCT
ejpam-3009	265	6	79(1	79(1	NUM
ejpam-3009	265	7	)	)	PUNCT
ejpam-3009	265	8	(	(	PUNCT
ejpam-3009	265	9	2010	2010	NUM
ejpam-3009	265	10	)	)	PUNCT
ejpam-3009	265	11	,	,	PUNCT
ejpam-3009	265	12	47–54	47–54	NUM
ejpam-3009	265	13	.	.	PUNCT
ejpam-3009	266	1	[	[	X
ejpam-3009	266	2	14	14	NUM
ejpam-3009	266	3	]	]	X
ejpam-3009	266	4	subbarayan	subbarayan	PROPN
ejpam-3009	266	5	r.	r.	PROPN
ejpam-3009	266	6	,	,	PUNCT
ejpam-3009	266	7	vethamanickam	vethamanickam	NOUN
ejpam-3009	266	8	a.	a.	NOUN
ejpam-3009	266	9	,	,	PUNCT
ejpam-3009	266	10	on	on	ADP
ejpam-3009	266	11	the	the	DET
ejpam-3009	266	12	lattice	lattice	NOUN
ejpam-3009	266	13	of	of	ADP
ejpam-3009	266	14	convex	convex	ADJ
ejpam-3009	266	15	sublattices	sublattice	NOUN
ejpam-3009	266	16	,	,	PUNCT
ejpam-3009	266	17	elixir	elixir	NOUN
ejpam-3009	266	18	dis	dis	PROPN
ejpam-3009	266	19	.	.	PUNCT
ejpam-3009	266	20	math	math	PROPN
ejpam-3009	266	21	.	.	PUNCT
ejpam-3009	266	22	,	,	PUNCT
ejpam-3009	266	23	comenianae	comenianae	NOUN
ejpam-3009	266	24	,	,	PUNCT
ejpam-3009	266	25	50	50	NUM
ejpam-3009	266	26	(	(	PUNCT
ejpam-3009	266	27	2012	2012	NUM
ejpam-3009	266	28	)	)	PUNCT
ejpam-3009	266	29	,	,	PUNCT
ejpam-3009	266	30	10471–10474	10471–10474	NUM
ejpam-3009	266	31	.	.	PUNCT