id	sid	tid	token	lemma	pos
ejpam-6079	1	1	european	european	PROPN
ejpam-6079	1	2	journal	journal	PROPN
ejpam-6079	1	3	of	of	ADP
ejpam-6079	1	4	pure	pure	ADJ
ejpam-6079	1	5	and	and	CCONJ
ejpam-6079	1	6	applied	applied	ADJ
ejpam-6079	1	7	mathematics	mathematic	NOUN
ejpam-6079	1	8	2025	2025	NUM
ejpam-6079	1	9	,	,	PUNCT
ejpam-6079	1	10	vol	vol	NOUN
ejpam-6079	1	11	.	.	PROPN
ejpam-6079	1	12	18	18	NUM
ejpam-6079	1	13	,	,	PUNCT
ejpam-6079	1	14	issue	issue	NOUN
ejpam-6079	1	15	2	2	NUM
ejpam-6079	1	16	,	,	PUNCT
ejpam-6079	1	17	article	article	NOUN
ejpam-6079	1	18	number	number	NOUN
ejpam-6079	1	19	6079	6079	NUM
ejpam-6079	1	20	issn	issn	PROPN
ejpam-6079	1	21	1307	1307	NUM
ejpam-6079	1	22	-	-	SYM
ejpam-6079	1	23	5543	5543	NUM
ejpam-6079	1	24	–	–	PUNCT
ejpam-6079	1	25	ejpam.com	ejpam.com	X
ejpam-6079	1	26	published	publish	VERB
ejpam-6079	1	27	by	by	ADP
ejpam-6079	1	28	new	new	PROPN
ejpam-6079	1	29	york	york	PROPN
ejpam-6079	1	30	business	business	PROPN
ejpam-6079	1	31	global	global	ADJ
ejpam-6079	1	32	anti	anti	ADJ
ejpam-6079	1	33	-	-	ADJ
ejpam-6079	1	34	diagonals	diagonal	NOUN
ejpam-6079	1	35	-	-	PUNCT
ejpam-6079	1	36	parameter	parameter	NOUN
ejpam-6079	1	37	symmetry	symmetry	NOUN
ejpam-6079	1	38	model	model	NOUN
ejpam-6079	1	39	for	for	ADP
ejpam-6079	1	40	square	square	ADJ
ejpam-6079	1	41	contingency	contingency	NOUN
ejpam-6079	1	42	tables	table	NOUN
ejpam-6079	1	43	with	with	ADP
ejpam-6079	1	44	ordinal	ordinal	ADJ
ejpam-6079	1	45	classifications	classification	NOUN
ejpam-6079	1	46	shuji	shuji	NOUN
ejpam-6079	1	47	ando	ando	PROPN
ejpam-6079	1	48	1	1	NUM
ejpam-6079	1	49	department	department	NOUN
ejpam-6079	1	50	of	of	ADP
ejpam-6079	1	51	information	information	NOUN
ejpam-6079	1	52	sciences	science	NOUN
ejpam-6079	1	53	,	,	PUNCT
ejpam-6079	1	54	faculty	faculty	NOUN
ejpam-6079	1	55	of	of	ADP
ejpam-6079	1	56	science	science	NOUN
ejpam-6079	1	57	and	and	CCONJ
ejpam-6079	1	58	technology	technology	NOUN
ejpam-6079	1	59	,	,	PUNCT
ejpam-6079	1	60	tokyo	tokyo	PROPN
ejpam-6079	1	61	university	university	PROPN
ejpam-6079	1	62	of	of	ADP
ejpam-6079	1	63	science	science	PROPN
ejpam-6079	1	64	,	,	PUNCT
ejpam-6079	1	65	noda	noda	PROPN
ejpam-6079	1	66	city	city	PROPN
ejpam-6079	1	67	,	,	PUNCT
ejpam-6079	1	68	chiba	chiba	PROPN
ejpam-6079	1	69	,	,	PUNCT
ejpam-6079	1	70	japan	japan	PROPN
ejpam-6079	1	71	abstract	abstract	PROPN
ejpam-6079	1	72	.	.	PUNCT
ejpam-6079	2	1	for	for	ADP
ejpam-6079	2	2	analyzing	analyze	VERB
ejpam-6079	2	3	square	square	ADJ
ejpam-6079	2	4	contingency	contingency	NOUN
ejpam-6079	2	5	tables	table	NOUN
ejpam-6079	2	6	having	have	VERB
ejpam-6079	2	7	same	same	ADJ
ejpam-6079	2	8	row	row	NOUN
ejpam-6079	2	9	and	and	CCONJ
ejpam-6079	2	10	column	column	NOUN
ejpam-6079	2	11	classifications	classification	NOUN
ejpam-6079	2	12	,	,	PUNCT
ejpam-6079	2	13	analysts	analyst	NOUN
ejpam-6079	2	14	are	be	AUX
ejpam-6079	2	15	often	often	ADV
ejpam-6079	2	16	interested	interested	ADJ
ejpam-6079	2	17	in	in	ADP
ejpam-6079	2	18	whether	whether	SCONJ
ejpam-6079	2	19	or	or	CCONJ
ejpam-6079	2	20	not	not	PART
ejpam-6079	2	21	the	the	DET
ejpam-6079	2	22	relationship	relationship	NOUN
ejpam-6079	2	23	between	between	ADP
ejpam-6079	2	24	the	the	DET
ejpam-6079	2	25	row	row	NOUN
ejpam-6079	2	26	and	and	CCONJ
ejpam-6079	2	27	column	column	NOUN
ejpam-6079	2	28	variables	variable	NOUN
ejpam-6079	2	29	is	be	AUX
ejpam-6079	2	30	symmetric	symmetric	ADJ
ejpam-6079	2	31	or	or	CCONJ
ejpam-6079	2	32	asymmetric	asymmetric	ADJ
ejpam-6079	2	33	regarding	regard	VERB
ejpam-6079	2	34	the	the	DET
ejpam-6079	2	35	main	main	ADJ
ejpam-6079	2	36	-	-	PUNCT
ejpam-6079	2	37	diagonal	diagonal	NOUN
ejpam-6079	2	38	of	of	ADP
ejpam-6079	2	39	the	the	DET
ejpam-6079	2	40	table	table	NOUN
ejpam-6079	2	41	.	.	PUNCT
ejpam-6079	3	1	however	however	ADV
ejpam-6079	3	2	,	,	PUNCT
ejpam-6079	3	3	for	for	ADP
ejpam-6079	3	4	the	the	DET
ejpam-6079	3	5	dataset	dataset	NOUN
ejpam-6079	3	6	of	of	ADP
ejpam-6079	3	7	grip	grip	NOUN
ejpam-6079	3	8	strength	strength	NOUN
ejpam-6079	3	9	test	test	NOUN
ejpam-6079	3	10	,	,	PUNCT
ejpam-6079	3	11	analysts	analyst	NOUN
ejpam-6079	3	12	may	may	AUX
ejpam-6079	3	13	be	be	AUX
ejpam-6079	3	14	interested	interested	ADJ
ejpam-6079	3	15	in	in	ADP
ejpam-6079	3	16	whether	whether	SCONJ
ejpam-6079	3	17	or	or	CCONJ
ejpam-6079	3	18	not	not	PART
ejpam-6079	3	19	the	the	DET
ejpam-6079	3	20	relationship	relationship	NOUN
ejpam-6079	3	21	between	between	ADP
ejpam-6079	3	22	them	they	PRON
ejpam-6079	3	23	is	be	AUX
ejpam-6079	3	24	symmetric	symmetric	ADJ
ejpam-6079	3	25	or	or	CCONJ
ejpam-6079	3	26	asymmetric	asymmetric	ADJ
ejpam-6079	3	27	regarding	regard	VERB
ejpam-6079	3	28	the	the	DET
ejpam-6079	3	29	anti	anti	ADJ
ejpam-6079	3	30	-	-	ADJ
ejpam-6079	3	31	diagonal	diagonal	ADJ
ejpam-6079	3	32	,	,	PUNCT
ejpam-6079	3	33	instead	instead	ADV
ejpam-6079	3	34	of	of	ADP
ejpam-6079	3	35	the	the	DET
ejpam-6079	3	36	main	main	ADJ
ejpam-6079	3	37	-	-	PUNCT
ejpam-6079	3	38	diagonal	diagonal	ADJ
ejpam-6079	3	39	.	.	PUNCT
ejpam-6079	4	1	this	this	DET
ejpam-6079	4	2	study	study	NOUN
ejpam-6079	4	3	proposes	propose	VERB
ejpam-6079	4	4	the	the	DET
ejpam-6079	4	5	anti	anti	ADJ
ejpam-6079	4	6	-	-	ADJ
ejpam-6079	4	7	diagonals	diagonal	NOUN
ejpam-6079	4	8	-	-	PUNCT
ejpam-6079	4	9	parameter	parameter	NOUN
ejpam-6079	4	10	symmetry	symmetry	NOUN
ejpam-6079	4	11	model	model	NOUN
ejpam-6079	4	12	that	that	PRON
ejpam-6079	4	13	represents	represent	VERB
ejpam-6079	4	14	the	the	DET
ejpam-6079	4	15	asymmetric	asymmetric	ADJ
ejpam-6079	4	16	structure	structure	NOUN
ejpam-6079	4	17	regarding	regard	VERB
ejpam-6079	4	18	the	the	DET
ejpam-6079	4	19	anti	anti	ADJ
ejpam-6079	4	20	-	-	ADJ
ejpam-6079	4	21	diagonal	diagonal	ADJ
ejpam-6079	4	22	.	.	PUNCT
ejpam-6079	5	1	furthermore	furthermore	ADV
ejpam-6079	5	2	,	,	PUNCT
ejpam-6079	5	3	this	this	DET
ejpam-6079	5	4	study	study	NOUN
ejpam-6079	5	5	provides	provide	VERB
ejpam-6079	5	6	a	a	DET
ejpam-6079	5	7	separation	separation	NOUN
ejpam-6079	5	8	of	of	ADP
ejpam-6079	5	9	the	the	DET
ejpam-6079	5	10	anti	anti	ADJ
ejpam-6079	5	11	-	-	ADJ
ejpam-6079	5	12	symmetry	symmetry	ADJ
ejpam-6079	5	13	model	model	NOUN
ejpam-6079	5	14	using	use	VERB
ejpam-6079	5	15	the	the	DET
ejpam-6079	5	16	anti	anti	ADJ
ejpam-6079	5	17	-	-	ADJ
ejpam-6079	5	18	diagonals	diagonal	NOUN
ejpam-6079	5	19	-	-	PUNCT
ejpam-6079	5	20	parameter	parameter	NOUN
ejpam-6079	5	21	symmetry	symmetry	NOUN
ejpam-6079	5	22	model	model	NOUN
ejpam-6079	5	23	and	and	CCONJ
ejpam-6079	5	24	an	an	DET
ejpam-6079	5	25	orthogonal	orthogonal	ADJ
ejpam-6079	5	26	separation	separation	NOUN
ejpam-6079	5	27	of	of	ADP
ejpam-6079	5	28	the	the	DET
ejpam-6079	5	29	test	test	NOUN
ejpam-6079	5	30	statistic	statistic	NOUN
ejpam-6079	5	31	for	for	ADP
ejpam-6079	5	32	the	the	DET
ejpam-6079	5	33	anti	anti	ADJ
ejpam-6079	5	34	-	-	ADJ
ejpam-6079	5	35	symmetry	symmetry	ADJ
ejpam-6079	5	36	model	model	NOUN
ejpam-6079	5	37	.	.	PUNCT
ejpam-6079	6	1	this	this	DET
ejpam-6079	6	2	study	study	NOUN
ejpam-6079	6	3	shows	show	VERB
ejpam-6079	6	4	the	the	DET
ejpam-6079	6	5	advantages	advantage	NOUN
ejpam-6079	6	6	of	of	ADP
ejpam-6079	6	7	the	the	DET
ejpam-6079	6	8	anti	anti	ADJ
ejpam-6079	6	9	-	-	ADJ
ejpam-6079	6	10	diagonals	diagonal	NOUN
ejpam-6079	6	11	-	-	PUNCT
ejpam-6079	6	12	parameter	parameter	NOUN
ejpam-6079	6	13	symmetry	symmetry	NOUN
ejpam-6079	6	14	model	model	NOUN
ejpam-6079	6	15	by	by	ADP
ejpam-6079	6	16	applying	apply	VERB
ejpam-6079	6	17	it	it	PRON
ejpam-6079	6	18	to	to	ADP
ejpam-6079	6	19	the	the	DET
ejpam-6079	6	20	real	real	ADV
ejpam-6079	6	21	-	-	PUNCT
ejpam-6079	6	22	dataset	dataset	NOUN
ejpam-6079	6	23	of	of	ADP
ejpam-6079	6	24	grip	grip	NOUN
ejpam-6079	6	25	strength	strength	NOUN
ejpam-6079	6	26	test	test	NOUN
ejpam-6079	6	27	.	.	PUNCT
ejpam-6079	7	1	2020	2020	NUM
ejpam-6079	7	2	mathematics	mathematic	NOUN
ejpam-6079	7	3	subject	subject	NOUN
ejpam-6079	7	4	classifications	classification	NOUN
ejpam-6079	7	5	:	:	PUNCT
ejpam-6079	7	6	62h17	62h17	NUM
ejpam-6079	7	7	key	key	ADJ
ejpam-6079	7	8	words	word	NOUN
ejpam-6079	7	9	and	and	CCONJ
ejpam-6079	7	10	phrases	phrase	NOUN
ejpam-6079	7	11	:	:	PUNCT
ejpam-6079	7	12	anti	anti	ADJ
ejpam-6079	7	13	-	-	ADJ
ejpam-6079	7	14	diagonal	diagonal	ADJ
ejpam-6079	7	15	cell	cell	NOUN
ejpam-6079	7	16	,	,	PUNCT
ejpam-6079	7	17	separation	separation	NOUN
ejpam-6079	7	18	,	,	PUNCT
ejpam-6079	7	19	symmetry	symmetry	NOUN
ejpam-6079	7	20	,	,	PUNCT
ejpam-6079	7	21	test	test	NOUN
ejpam-6079	7	22	statistic	statistic	NOUN
ejpam-6079	7	23	.	.	PUNCT
ejpam-6079	8	1	1	1	X
ejpam-6079	8	2	.	.	X
ejpam-6079	8	3	introduction	introduction	NOUN
ejpam-6079	8	4	the	the	DET
ejpam-6079	8	5	main	main	ADJ
ejpam-6079	8	6	objective	objective	NOUN
ejpam-6079	8	7	of	of	ADP
ejpam-6079	8	8	analyzing	analyze	VERB
ejpam-6079	8	9	two	two	NUM
ejpam-6079	8	10	-	-	PUNCT
ejpam-6079	8	11	way	way	NOUN
ejpam-6079	8	12	contingency	contingency	NOUN
ejpam-6079	8	13	tables	table	NOUN
ejpam-6079	8	14	is	be	AUX
ejpam-6079	8	15	to	to	PART
ejpam-6079	8	16	evaluate	evaluate	VERB
ejpam-6079	8	17	the	the	DET
ejpam-6079	8	18	association	association	NOUN
ejpam-6079	8	19	between	between	ADP
ejpam-6079	8	20	row	row	NOUN
ejpam-6079	8	21	and	and	CCONJ
ejpam-6079	8	22	column	column	NOUN
ejpam-6079	8	23	variables	variable	NOUN
ejpam-6079	8	24	.	.	PUNCT
ejpam-6079	9	1	in	in	ADP
ejpam-6079	9	2	this	this	DET
ejpam-6079	9	3	study	study	NOUN
ejpam-6079	9	4	,	,	PUNCT
ejpam-6079	9	5	we	we	PRON
ejpam-6079	9	6	address	address	VERB
ejpam-6079	9	7	square	square	ADJ
ejpam-6079	9	8	contingency	contingency	NOUN
ejpam-6079	9	9	tables	table	NOUN
ejpam-6079	9	10	obtained	obtain	VERB
ejpam-6079	9	11	as	as	ADP
ejpam-6079	9	12	two	two	NUM
ejpam-6079	9	13	-	-	PUNCT
ejpam-6079	9	14	way	way	NOUN
ejpam-6079	9	15	contingency	contingency	NOUN
ejpam-6079	9	16	tables	table	NOUN
ejpam-6079	9	17	which	which	PRON
ejpam-6079	9	18	consist	consist	VERB
ejpam-6079	9	19	of	of	ADP
ejpam-6079	9	20	the	the	DET
ejpam-6079	9	21	same	same	ADJ
ejpam-6079	9	22	row	row	NOUN
ejpam-6079	9	23	and	and	CCONJ
ejpam-6079	9	24	column	column	NOUN
ejpam-6079	9	25	classification	classification	NOUN
ejpam-6079	9	26	.	.	PUNCT
ejpam-6079	10	1	in	in	ADP
ejpam-6079	10	2	the	the	DET
ejpam-6079	10	3	analysis	analysis	NOUN
ejpam-6079	10	4	of	of	ADP
ejpam-6079	10	5	square	square	ADJ
ejpam-6079	10	6	contingency	contingency	NOUN
ejpam-6079	10	7	tables	table	NOUN
ejpam-6079	10	8	,	,	PUNCT
ejpam-6079	10	9	it	it	PRON
ejpam-6079	10	10	is	be	AUX
ejpam-6079	10	11	customary	customary	ADJ
ejpam-6079	10	12	to	to	PART
ejpam-6079	10	13	ascertain	ascertain	VERB
ejpam-6079	10	14	whether	whether	SCONJ
ejpam-6079	10	15	the	the	DET
ejpam-6079	10	16	relationship	relationship	NOUN
ejpam-6079	10	17	between	between	ADP
ejpam-6079	10	18	the	the	DET
ejpam-6079	10	19	row	row	NOUN
ejpam-6079	10	20	and	and	CCONJ
ejpam-6079	10	21	column	column	NOUN
ejpam-6079	10	22	variables	variable	NOUN
ejpam-6079	10	23	is	be	AUX
ejpam-6079	10	24	symmetric	symmetric	ADJ
ejpam-6079	10	25	or	or	CCONJ
ejpam-6079	10	26	asymmetric	asymmetric	ADJ
ejpam-6079	10	27	with	with	ADP
ejpam-6079	10	28	respect	respect	NOUN
ejpam-6079	10	29	to	to	ADP
ejpam-6079	10	30	the	the	DET
ejpam-6079	10	31	main	main	ADJ
ejpam-6079	10	32	diagonal	diagonal	NOUN
ejpam-6079	10	33	.	.	PUNCT
ejpam-6079	11	1	this	this	PRON
ejpam-6079	11	2	is	be	AUX
ejpam-6079	11	3	due	due	ADJ
ejpam-6079	11	4	to	to	ADP
ejpam-6079	11	5	the	the	DET
ejpam-6079	11	6	fact	fact	NOUN
ejpam-6079	11	7	that	that	SCONJ
ejpam-6079	11	8	the	the	DET
ejpam-6079	11	9	majority	majority	NOUN
ejpam-6079	11	10	of	of	ADP
ejpam-6079	11	11	observed	observed	ADJ
ejpam-6079	11	12	frequencies	frequency	NOUN
ejpam-6079	11	13	are	be	AUX
ejpam-6079	11	14	concentrated	concentrate	VERB
ejpam-6079	11	15	in	in	ADP
ejpam-6079	11	16	the	the	DET
ejpam-6079	11	17	main	main	ADJ
ejpam-6079	11	18	diagonal	diagonal	ADJ
ejpam-6079	11	19	cells	cell	NOUN
ejpam-6079	11	20	,	,	PUNCT
ejpam-6079	11	21	and	and	CCONJ
ejpam-6079	11	22	there	there	PRON
ejpam-6079	11	23	is	be	VERB
ejpam-6079	11	24	a	a	DET
ejpam-6079	11	25	strong	strong	ADJ
ejpam-6079	11	26	association	association	NOUN
ejpam-6079	11	27	between	between	ADP
ejpam-6079	11	28	row	row	NOUN
ejpam-6079	11	29	and	and	CCONJ
ejpam-6079	11	30	column	column	NOUN
ejpam-6079	11	31	variables	variable	NOUN
ejpam-6079	11	32	.	.	PUNCT
ejpam-6079	12	1	notable	notable	ADJ
ejpam-6079	12	2	models	model	NOUN
ejpam-6079	12	3	with	with	ADP
ejpam-6079	12	4	the	the	DET
ejpam-6079	12	5	symmetric	symmetric	ADJ
ejpam-6079	12	6	structure	structure	NOUN
ejpam-6079	12	7	are	be	AUX
ejpam-6079	12	8	the	the	DET
ejpam-6079	12	9	symmetry	symmetry	NOUN
ejpam-6079	12	10	(	(	PUNCT
ejpam-6079	12	11	s	s	NOUN
ejpam-6079	12	12	)	)	PUNCT
ejpam-6079	12	13	model	model	NOUN
ejpam-6079	13	1	[	[	X
ejpam-6079	13	2	1	1	NUM
ejpam-6079	13	3	]	]	PUNCT
ejpam-6079	13	4	,	,	PUNCT
ejpam-6079	13	5	the	the	DET
ejpam-6079	13	6	quasi	quasi	ADJ
ejpam-6079	13	7	-	-	ADJ
ejpam-6079	13	8	symmetry	symmetry	ADJ
ejpam-6079	13	9	model	model	NOUN
ejpam-6079	13	10	[	[	X
ejpam-6079	13	11	2	2	NUM
ejpam-6079	13	12	]	]	PUNCT
ejpam-6079	13	13	,	,	PUNCT
ejpam-6079	13	14	and	and	CCONJ
ejpam-6079	13	15	the	the	DET
ejpam-6079	13	16	marginal	marginal	ADJ
ejpam-6079	13	17	homogeneity	homogeneity	NOUN
ejpam-6079	13	18	model	model	NOUN
ejpam-6079	13	19	[	[	X
ejpam-6079	13	20	3	3	NUM
ejpam-6079	13	21	]	]	PUNCT
ejpam-6079	13	22	.	.	PUNCT
ejpam-6079	14	1	additionally	additionally	ADV
ejpam-6079	14	2	,	,	PUNCT
ejpam-6079	14	3	well	well	ADV
ejpam-6079	14	4	-	-	PUNCT
ejpam-6079	14	5	known	know	VERB
ejpam-6079	14	6	models	model	NOUN
ejpam-6079	14	7	with	with	ADP
ejpam-6079	14	8	the	the	DET
ejpam-6079	14	9	asymmetric	asymmetric	ADJ
ejpam-6079	14	10	structure	structure	NOUN
ejpam-6079	14	11	are	be	AUX
ejpam-6079	14	12	the	the	DET
ejpam-6079	14	13	conditional	conditional	ADJ
ejpam-6079	14	14	symmetry	symmetry	NOUN
ejpam-6079	14	15	(	(	PUNCT
ejpam-6079	14	16	cs	cs	PROPN
ejpam-6079	14	17	)	)	PUNCT
ejpam-6079	14	18	model	model	NOUN
ejpam-6079	14	19	[	[	X
ejpam-6079	14	20	4	4	NUM
ejpam-6079	14	21	]	]	PUNCT
ejpam-6079	14	22	,	,	PUNCT
ejpam-6079	14	23	the	the	DET
ejpam-6079	14	24	diagonals	diagonal	NOUN
ejpam-6079	14	25	-	-	PUNCT
ejpam-6079	14	26	parameter	parameter	NOUN
ejpam-6079	14	27	symmetry	symmetry	NOUN
ejpam-6079	14	28	(	(	PUNCT
ejpam-6079	14	29	dps	dps	NOUN
ejpam-6079	14	30	)	)	PUNCT
ejpam-6079	14	31	model	model	NOUN
ejpam-6079	15	1	[	[	X
ejpam-6079	15	2	5	5	NUM
ejpam-6079	15	3	]	]	PUNCT
ejpam-6079	15	4	,	,	PUNCT
ejpam-6079	15	5	and	and	CCONJ
ejpam-6079	15	6	the	the	DET
ejpam-6079	15	7	linear	linear	ADJ
ejpam-6079	15	8	dps	dps	NOUN
ejpam-6079	15	9	(	(	PUNCT
ejpam-6079	15	10	ldps	ldps	PROPN
ejpam-6079	15	11	)	)	PUNCT
ejpam-6079	15	12	model	model	NOUN
ejpam-6079	15	13	[	[	X
ejpam-6079	15	14	6	6	NUM
ejpam-6079	15	15	]	]	PUNCT
ejpam-6079	15	16	.	.	PUNCT
ejpam-6079	16	1	doi	doi	NOUN
ejpam-6079	16	2	:	:	PUNCT
ejpam-6079	16	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6079	https://doi.org/10.29020/nybg.ejpam.v18i2.6079	PROPN
ejpam-6079	16	4	email	email	NOUN
ejpam-6079	16	5	address	address	NOUN
ejpam-6079	16	6	:	:	PUNCT
ejpam-6079	16	7	shuji.ando@rs.tus.ac.jp	shuji.ando@rs.tus.ac.jp	X
ejpam-6079	16	8	(	(	PUNCT
ejpam-6079	16	9	s.	s.	PROPN
ejpam-6079	16	10	ando	ando	PROPN
ejpam-6079	16	11	)	)	PUNCT
ejpam-6079	16	12	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6079	17	1	1	1	NUM
ejpam-6079	17	2	copyright	copyright	NOUN
ejpam-6079	17	3	:	:	PUNCT
ejpam-6079	17	4	©	©	PROPN
ejpam-6079	17	5	2025	2025	NUM
ejpam-6079	17	6	the	the	DET
ejpam-6079	17	7	author(s	author(s	NOUN
ejpam-6079	17	8	)	)	PUNCT
ejpam-6079	17	9	.	.	PUNCT
ejpam-6079	18	1	(	(	PUNCT
ejpam-6079	18	2	cc	cc	NOUN
ejpam-6079	18	3	by	by	ADP
ejpam-6079	18	4	-	-	PUNCT
ejpam-6079	18	5	nc	nc	PROPN
ejpam-6079	18	6	4.0	4.0	NUM
ejpam-6079	18	7	)	)	PUNCT
ejpam-6079	18	8	s.	s.	PROPN
ejpam-6079	18	9	ando	ando	PROPN
ejpam-6079	18	10	/	/	SYM
ejpam-6079	18	11	eur	eur	PROPN
ejpam-6079	18	12	.	.	PUNCT
ejpam-6079	19	1	j.	j.	PROPN
ejpam-6079	19	2	pure	pure	PROPN
ejpam-6079	19	3	appl	appl	PROPN
ejpam-6079	19	4	.	.	PROPN
ejpam-6079	19	5	math	math	PROPN
ejpam-6079	19	6	,	,	PUNCT
ejpam-6079	19	7	18	18	NUM
ejpam-6079	19	8	(	(	PUNCT
ejpam-6079	19	9	2	2	NUM
ejpam-6079	19	10	)	)	PUNCT
ejpam-6079	19	11	(	(	PUNCT
ejpam-6079	19	12	2025	2025	NUM
ejpam-6079	19	13	)	)	PUNCT
ejpam-6079	19	14	,	,	PUNCT
ejpam-6079	19	15	6079	6079	NUM
ejpam-6079	19	16	2	2	NUM
ejpam-6079	19	17	of	of	ADP
ejpam-6079	19	18	14	14	NUM
ejpam-6079	19	19	we	we	PRON
ejpam-6079	19	20	will	will	AUX
ejpam-6079	19	21	now	now	ADV
ejpam-6079	19	22	examine	examine	VERB
ejpam-6079	19	23	the	the	DET
ejpam-6079	19	24	dataset	dataset	NOUN
ejpam-6079	19	25	presented	present	VERB
ejpam-6079	19	26	in	in	ADP
ejpam-6079	19	27	table	table	NOUN
ejpam-6079	19	28	1	1	NUM
ejpam-6079	19	29	,	,	PUNCT
ejpam-6079	19	30	taken	take	VERB
ejpam-6079	19	31	directly	directly	ADV
ejpam-6079	19	32	from	from	ADP
ejpam-6079	19	33	yamamoto	yamamoto	PROPN
ejpam-6079	19	34	,	,	PUNCT
ejpam-6079	19	35	aizawa	aizawa	PROPN
ejpam-6079	19	36	and	and	CCONJ
ejpam-6079	19	37	tomizawa	tomizawa	PROPN
ejpam-6079	20	1	[	[	X
ejpam-6079	20	2	7	7	NUM
ejpam-6079	20	3	]	]	PUNCT
ejpam-6079	20	4	.	.	PUNCT
ejpam-6079	21	1	this	this	DET
ejpam-6079	21	2	dataset	dataset	NOUN
ejpam-6079	21	3	represents	represent	VERB
ejpam-6079	21	4	the	the	DET
ejpam-6079	21	5	results	result	NOUN
ejpam-6079	21	6	of	of	ADP
ejpam-6079	21	7	grip	grip	NOUN
ejpam-6079	21	8	strength	strength	NOUN
ejpam-6079	21	9	examinations	examination	NOUN
ejpam-6079	21	10	conducted	conduct	VERB
ejpam-6079	21	11	on	on	ADP
ejpam-6079	21	12	a	a	DET
ejpam-6079	21	13	cohort	cohort	NOUN
ejpam-6079	21	14	of	of	ADP
ejpam-6079	21	15	2356	2356	NUM
ejpam-6079	21	16	men	man	NOUN
ejpam-6079	21	17	between	between	ADP
ejpam-6079	21	18	the	the	DET
ejpam-6079	21	19	ages	age	NOUN
ejpam-6079	21	20	of	of	ADP
ejpam-6079	21	21	15	15	NUM
ejpam-6079	21	22	and	and	CCONJ
ejpam-6079	21	23	69	69	NUM
ejpam-6079	21	24	,	,	PUNCT
ejpam-6079	21	25	as	as	ADP
ejpam-6079	21	26	part	part	NOUN
ejpam-6079	21	27	of	of	ADP
ejpam-6079	21	28	the	the	DET
ejpam-6079	21	29	national	national	ADJ
ejpam-6079	21	30	health	health	PROPN
ejpam-6079	21	31	and	and	CCONJ
ejpam-6079	21	32	nutrition	nutrition	NOUN
ejpam-6079	21	33	examination	examination	NOUN
ejpam-6079	21	34	survey	survey	NOUN
ejpam-6079	21	35	(	(	PUNCT
ejpam-6079	21	36	nhanes	nhane	NOUN
ejpam-6079	21	37	)	)	PUNCT
ejpam-6079	21	38	conducted	conduct	VERB
ejpam-6079	21	39	in	in	ADP
ejpam-6079	21	40	2011	2011	NUM
ejpam-6079	21	41	-	-	SYM
ejpam-6079	21	42	2012	2012	NUM
ejpam-6079	21	43	.	.	PUNCT
ejpam-6079	22	1	right	right	ADJ
ejpam-6079	22	2	and	and	CCONJ
ejpam-6079	22	3	left	leave	VERB
ejpam-6079	22	4	hand	hand	NOUN
ejpam-6079	22	5	grip	grip	NOUN
ejpam-6079	22	6	strength	strength	NOUN
ejpam-6079	22	7	are	be	AUX
ejpam-6079	22	8	categorized	categorize	VERB
ejpam-6079	22	9	by	by	ADP
ejpam-6079	22	10	the	the	DET
ejpam-6079	22	11	nhanes	nhane	NOUN
ejpam-6079	22	12	manual	manual	NOUN
ejpam-6079	22	13	.	.	PUNCT
ejpam-6079	23	1	table	table	NOUN
ejpam-6079	23	2	1	1	NUM
ejpam-6079	23	3	:	:	PUNCT
ejpam-6079	23	4	the	the	DET
ejpam-6079	23	5	grip	grip	NOUN
ejpam-6079	23	6	strength	strength	NOUN
ejpam-6079	23	7	test	test	NOUN
ejpam-6079	23	8	dataset	dataset	VERB
ejpam-6079	23	9	for	for	ADP
ejpam-6079	23	10	men	man	NOUN
ejpam-6079	23	11	between	between	ADP
ejpam-6079	23	12	the	the	DET
ejpam-6079	23	13	ages	age	NOUN
ejpam-6079	23	14	of	of	ADP
ejpam-6079	23	15	15	15	NUM
ejpam-6079	23	16	and	and	CCONJ
ejpam-6079	23	17	69	69	NUM
ejpam-6079	23	18	left	leave	VERB
ejpam-6079	23	19	hand	hand	NOUN
ejpam-6079	23	20	right	right	ADJ
ejpam-6079	23	21	hand	hand	NOUN
ejpam-6079	23	22	(	(	PUNCT
ejpam-6079	23	23	1	1	NUM
ejpam-6079	23	24	)	)	PUNCT
ejpam-6079	23	25	(	(	PUNCT
ejpam-6079	23	26	2	2	NUM
ejpam-6079	23	27	)	)	PUNCT
ejpam-6079	23	28	(	(	PUNCT
ejpam-6079	23	29	3	3	X
ejpam-6079	23	30	)	)	PUNCT
ejpam-6079	23	31	(	(	PUNCT
ejpam-6079	23	32	4	4	NUM
ejpam-6079	23	33	)	)	PUNCT
ejpam-6079	23	34	(	(	PUNCT
ejpam-6079	23	35	5	5	X
ejpam-6079	23	36	)	)	PUNCT
ejpam-6079	23	37	total	total	NOUN
ejpam-6079	23	38	highest	high	ADJ
ejpam-6079	23	39	(	(	PUNCT
ejpam-6079	23	40	1	1	NUM
ejpam-6079	23	41	)	)	PUNCT
ejpam-6079	23	42	215	215	NUM
ejpam-6079	23	43	124	124	NUM
ejpam-6079	23	44	46	46	NUM
ejpam-6079	23	45	14	14	NUM
ejpam-6079	23	46	2	2	NUM
ejpam-6079	23	47	401	401	NUM
ejpam-6079	23	48	(	(	PUNCT
ejpam-6079	23	49	2	2	NUM
ejpam-6079	23	50	)	)	PUNCT
ejpam-6079	23	51	37	37	NUM
ejpam-6079	23	52	143	143	NUM
ejpam-6079	23	53	165	165	NUM
ejpam-6079	23	54	74	74	NUM
ejpam-6079	23	55	16	16	NUM
ejpam-6079	23	56	435	435	NUM
ejpam-6079	23	57	(	(	PUNCT
ejpam-6079	23	58	3	3	NUM
ejpam-6079	23	59	)	)	PUNCT
ejpam-6079	23	60	7	7	NUM
ejpam-6079	23	61	45	45	NUM
ejpam-6079	23	62	156	156	NUM
ejpam-6079	23	63	166	166	NUM
ejpam-6079	23	64	51	51	NUM
ejpam-6079	23	65	425	425	NUM
ejpam-6079	23	66	(	(	PUNCT
ejpam-6079	23	67	4	4	NUM
ejpam-6079	23	68	)	)	SYM
ejpam-6079	23	69	2	2	NUM
ejpam-6079	23	70	20	20	NUM
ejpam-6079	23	71	62	62	NUM
ejpam-6079	23	72	226	226	NUM
ejpam-6079	23	73	210	210	NUM
ejpam-6079	23	74	520	520	NUM
ejpam-6079	23	75	lowest	low	ADJ
ejpam-6079	23	76	(	(	PUNCT
ejpam-6079	23	77	5	5	NUM
ejpam-6079	23	78	)	)	SYM
ejpam-6079	23	79	1	1	NUM
ejpam-6079	23	80	2	2	NUM
ejpam-6079	23	81	16	16	NUM
ejpam-6079	23	82	61	61	NUM
ejpam-6079	23	83	495	495	NUM
ejpam-6079	23	84	575	575	NUM
ejpam-6079	23	85	total	total	NOUN
ejpam-6079	23	86	262	262	NUM
ejpam-6079	23	87	334	334	NUM
ejpam-6079	23	88	445	445	NUM
ejpam-6079	23	89	541	541	NUM
ejpam-6079	23	90	774	774	NUM
ejpam-6079	23	91	2356	2356	NUM
ejpam-6079	23	92	source	source	NOUN
ejpam-6079	23	93	:	:	PUNCT
ejpam-6079	23	94	nhanes	nhane	VERB
ejpam-6079	23	95	2011–2012	2011–2012	NUM
ejpam-6079	23	96	in	in	ADP
ejpam-6079	23	97	the	the	DET
ejpam-6079	23	98	case	case	NOUN
ejpam-6079	23	99	of	of	ADP
ejpam-6079	23	100	grip	grip	NOUN
ejpam-6079	23	101	strength	strength	NOUN
ejpam-6079	23	102	data	datum	NOUN
ejpam-6079	23	103	,	,	PUNCT
ejpam-6079	23	104	such	such	ADJ
ejpam-6079	23	105	as	as	ADP
ejpam-6079	23	106	that	that	PRON
ejpam-6079	23	107	presented	present	VERB
ejpam-6079	23	108	in	in	ADP
ejpam-6079	23	109	table	table	NOUN
ejpam-6079	23	110	1	1	NUM
ejpam-6079	23	111	,	,	PUNCT
ejpam-6079	23	112	analysts	analyst	NOUN
ejpam-6079	23	113	may	may	AUX
ejpam-6079	23	114	be	be	AUX
ejpam-6079	23	115	less	less	ADV
ejpam-6079	23	116	concerned	concerned	ADJ
ejpam-6079	23	117	with	with	ADP
ejpam-6079	23	118	the	the	DET
ejpam-6079	23	119	symmetry	symmetry	NOUN
ejpam-6079	23	120	or	or	CCONJ
ejpam-6079	23	121	asymmetry	asymmetry	NOUN
ejpam-6079	23	122	between	between	ADP
ejpam-6079	23	123	the	the	DET
ejpam-6079	23	124	right	right	NOUN
ejpam-6079	23	125	and	and	CCONJ
ejpam-6079	23	126	left	leave	VERB
ejpam-6079	23	127	hand	hand	NOUN
ejpam-6079	23	128	grip	grip	NOUN
ejpam-6079	23	129	strength	strength	NOUN
ejpam-6079	23	130	.	.	PUNCT
ejpam-6079	24	1	however	however	ADV
ejpam-6079	24	2	,	,	PUNCT
ejpam-6079	24	3	they	they	PRON
ejpam-6079	24	4	may	may	AUX
ejpam-6079	24	5	be	be	AUX
ejpam-6079	24	6	interested	interested	ADJ
ejpam-6079	24	7	in	in	ADP
ejpam-6079	24	8	the	the	DET
ejpam-6079	24	9	symmetry	symmetry	NOUN
ejpam-6079	24	10	or	or	CCONJ
ejpam-6079	24	11	asymmetry	asymmetry	NOUN
ejpam-6079	24	12	between	between	ADP
ejpam-6079	24	13	the	the	DET
ejpam-6079	24	14	dominant	dominant	ADJ
ejpam-6079	24	15	and	and	CCONJ
ejpam-6079	24	16	non	non	ADJ
ejpam-6079	24	17	-	-	ADJ
ejpam-6079	24	18	dominant	dominant	ADJ
ejpam-6079	24	19	hand	hand	NOUN
ejpam-6079	24	20	grip	grip	NOUN
ejpam-6079	24	21	strength	strength	NOUN
ejpam-6079	24	22	.	.	PUNCT
ejpam-6079	25	1	this	this	PRON
ejpam-6079	25	2	is	be	AUX
ejpam-6079	25	3	because	because	SCONJ
ejpam-6079	25	4	the	the	DET
ejpam-6079	25	5	grip	grip	NOUN
ejpam-6079	25	6	strength	strength	NOUN
ejpam-6079	25	7	of	of	ADP
ejpam-6079	25	8	the	the	DET
ejpam-6079	25	9	dominant	dominant	ADJ
ejpam-6079	25	10	hand	hand	NOUN
ejpam-6079	25	11	is	be	AUX
ejpam-6079	25	12	typically	typically	ADV
ejpam-6079	25	13	higher	high	ADJ
ejpam-6079	25	14	than	than	ADP
ejpam-6079	25	15	that	that	PRON
ejpam-6079	25	16	of	of	ADP
ejpam-6079	25	17	the	the	DET
ejpam-6079	25	18	non	non	ADJ
ejpam-6079	25	19	-	-	ADJ
ejpam-6079	25	20	dominant	dominant	ADJ
ejpam-6079	25	21	hand	hand	NOUN
ejpam-6079	25	22	,	,	PUNCT
ejpam-6079	25	23	with	with	ADP
ejpam-6079	25	24	a	a	DET
ejpam-6079	25	25	majority	majority	NOUN
ejpam-6079	25	26	of	of	ADP
ejpam-6079	25	27	individuals	individual	NOUN
ejpam-6079	25	28	being	be	AUX
ejpam-6079	25	29	right	right	ADV
ejpam-6079	25	30	-	-	PUNCT
ejpam-6079	25	31	handed	hand	VERB
ejpam-6079	25	32	by	by	ADP
ejpam-6079	25	33	intage	intage	NOUN
ejpam-6079	25	34	group	group	NOUN
ejpam-6079	25	35	self	self	NOUN
ejpam-6079	25	36	-	-	PUNCT
ejpam-6079	25	37	proposed	propose	VERB
ejpam-6079	25	38	survey	survey	NOUN
ejpam-6079	25	39	(	(	PUNCT
ejpam-6079	25	40	https://gallery	https://gallery	NOUN
ejpam-6079	25	41	.	.	PUNCT
ejpam-6079	25	42	intage.co.jp/smartphone-operation/	intage.co.jp/smartphone-operation/	PROPN
ejpam-6079	25	43	)	)	PUNCT
ejpam-6079	25	44	.	.	PUNCT
ejpam-6079	26	1	furthermore	furthermore	ADV
ejpam-6079	26	2	,	,	PUNCT
ejpam-6079	26	3	iki	iki	PROPN
ejpam-6079	27	1	[	[	X
ejpam-6079	27	2	8	8	NUM
ejpam-6079	27	3	]	]	PUNCT
ejpam-6079	27	4	and	and	CCONJ
ejpam-6079	27	5	ando	ando	X
ejpam-6079	28	1	[	[	X
ejpam-6079	28	2	9	9	NUM
ejpam-6079	28	3	,	,	PUNCT
ejpam-6079	28	4	10	10	NUM
ejpam-6079	28	5	]	]	PUNCT
ejpam-6079	28	6	analyzed	analyze	VERB
ejpam-6079	28	7	the	the	DET
ejpam-6079	28	8	grip	grip	NOUN
ejpam-6079	28	9	strength	strength	NOUN
ejpam-6079	28	10	data	datum	NOUN
ejpam-6079	28	11	using	use	VERB
ejpam-6079	28	12	models	model	NOUN
ejpam-6079	28	13	where	where	SCONJ
ejpam-6079	28	14	the	the	DET
ejpam-6079	28	15	relationship	relationship	NOUN
ejpam-6079	28	16	between	between	ADP
ejpam-6079	28	17	the	the	DET
ejpam-6079	28	18	row	row	NOUN
ejpam-6079	28	19	and	and	CCONJ
ejpam-6079	28	20	column	column	NOUN
ejpam-6079	28	21	variables	variable	NOUN
ejpam-6079	28	22	is	be	AUX
ejpam-6079	28	23	symmetric	symmetric	ADJ
ejpam-6079	28	24	or	or	CCONJ
ejpam-6079	28	25	asymmetric	asymmetric	ADJ
ejpam-6079	28	26	with	with	ADP
ejpam-6079	28	27	respect	respect	NOUN
ejpam-6079	28	28	to	to	ADP
ejpam-6079	28	29	the	the	DET
ejpam-6079	28	30	anti	anti	ADJ
ejpam-6079	28	31	-	-	ADJ
ejpam-6079	28	32	diagonal	diagonal	ADJ
ejpam-6079	28	33	of	of	ADP
ejpam-6079	28	34	the	the	DET
ejpam-6079	28	35	table	table	NOUN
ejpam-6079	28	36	,	,	PUNCT
ejpam-6079	28	37	rather	rather	ADV
ejpam-6079	28	38	than	than	ADP
ejpam-6079	28	39	the	the	DET
ejpam-6079	28	40	main	main	ADJ
ejpam-6079	28	41	diagonal	diagonal	NOUN
ejpam-6079	28	42	.	.	PUNCT
ejpam-6079	29	1	the	the	DET
ejpam-6079	29	2	anti	anti	NOUN
ejpam-6079	29	3	-	-	NOUN
ejpam-6079	29	4	s	s	X
ejpam-6079	29	5	(	(	PUNCT
ejpam-6079	29	6	as	as	ADP
ejpam-6079	29	7	)	)	PUNCT
ejpam-6079	29	8	model	model	NOUN
ejpam-6079	29	9	and	and	CCONJ
ejpam-6079	29	10	the	the	DET
ejpam-6079	29	11	anti	anti	ADJ
ejpam-6079	29	12	-	-	ADJ
ejpam-6079	29	13	cs	cs	ADJ
ejpam-6079	29	14	(	(	PUNCT
ejpam-6079	29	15	acs	acs	NOUN
ejpam-6079	29	16	)	)	PUNCT
ejpam-6079	29	17	model	model	NOUN
ejpam-6079	29	18	represent	represent	VERB
ejpam-6079	29	19	the	the	DET
ejpam-6079	29	20	symmetric	symmetric	ADJ
ejpam-6079	29	21	and	and	CCONJ
ejpam-6079	29	22	asymmetric	asymmetric	ADJ
ejpam-6079	29	23	structures	structure	NOUN
ejpam-6079	29	24	of	of	ADP
ejpam-6079	29	25	cell	cell	NOUN
ejpam-6079	29	26	probabilities	probability	NOUN
ejpam-6079	29	27	regarding	regard	VERB
ejpam-6079	29	28	the	the	DET
ejpam-6079	29	29	anti	anti	ADJ
ejpam-6079	29	30	-	-	ADJ
ejpam-6079	29	31	diagonal	diagonal	ADJ
ejpam-6079	29	32	of	of	ADP
ejpam-6079	29	33	the	the	DET
ejpam-6079	29	34	table	table	NOUN
ejpam-6079	29	35	,	,	PUNCT
ejpam-6079	29	36	respectively	respectively	ADV
ejpam-6079	29	37	.	.	PUNCT
ejpam-6079	30	1	these	these	DET
ejpam-6079	30	2	models	model	NOUN
ejpam-6079	30	3	are	be	AUX
ejpam-6079	30	4	referenced	reference	VERB
ejpam-6079	30	5	in	in	ADP
ejpam-6079	30	6	the	the	DET
ejpam-6079	30	7	following	follow	VERB
ejpam-6079	30	8	citations	citation	NOUN
ejpam-6079	30	9	:	:	PUNCT
ejpam-6079	30	10	[	[	X
ejpam-6079	30	11	8	8	NUM
ejpam-6079	30	12	,	,	PUNCT
ejpam-6079	30	13	11	11	NUM
ejpam-6079	30	14	]	]	PUNCT
ejpam-6079	30	15	.	.	PUNCT
ejpam-6079	31	1	in	in	ADP
ejpam-6079	31	2	this	this	DET
ejpam-6079	31	3	paper	paper	NOUN
ejpam-6079	31	4	,	,	PUNCT
ejpam-6079	31	5	we	we	PRON
ejpam-6079	31	6	propose	propose	VERB
ejpam-6079	31	7	a	a	DET
ejpam-6079	31	8	unified	unified	ADJ
ejpam-6079	31	9	nomenclature	nomenclature	NOUN
ejpam-6079	31	10	for	for	ADP
ejpam-6079	31	11	the	the	DET
ejpam-6079	31	12	symmetric	symmetric	ADJ
ejpam-6079	31	13	and	and	CCONJ
ejpam-6079	31	14	asymmetric	asymmetric	ADJ
ejpam-6079	31	15	models	model	NOUN
ejpam-6079	31	16	regarding	regard	VERB
ejpam-6079	31	17	the	the	DET
ejpam-6079	31	18	anti	anti	ADJ
ejpam-6079	31	19	-	-	ADJ
ejpam-6079	31	20	diagonal	diagonal	ADJ
ejpam-6079	31	21	,	,	PUNCT
ejpam-6079	31	22	beginning	begin	VERB
ejpam-6079	31	23	with	with	ADP
ejpam-6079	31	24	the	the	DET
ejpam-6079	31	25	term	term	NOUN
ejpam-6079	31	26	“	"	PUNCT
ejpam-6079	31	27	anti	anti	ADJ
ejpam-6079	31	28	.	.	PUNCT
ejpam-6079	31	29	”	"	PUNCT
ejpam-6079	32	1	however	however	ADV
ejpam-6079	32	2	,	,	PUNCT
ejpam-6079	32	3	it	it	PRON
ejpam-6079	32	4	is	be	AUX
ejpam-6079	32	5	noteworthy	noteworthy	ADJ
ejpam-6079	32	6	that	that	SCONJ
ejpam-6079	32	7	tomizawa	tomizawa	PROPN
ejpam-6079	33	1	[	[	X
ejpam-6079	33	2	11	11	NUM
ejpam-6079	33	3	]	]	PUNCT
ejpam-6079	33	4	referred	refer	VERB
ejpam-6079	33	5	to	to	ADP
ejpam-6079	33	6	the	the	DET
ejpam-6079	33	7	“	"	PUNCT
ejpam-6079	33	8	anti	anti	ADJ
ejpam-6079	33	9	conditional	conditional	ADJ
ejpam-6079	33	10	symmetry	symmetry	NOUN
ejpam-6079	33	11	model	model	NOUN
ejpam-6079	33	12	”	"	PUNCT
ejpam-6079	33	13	as	as	ADP
ejpam-6079	33	14	the	the	DET
ejpam-6079	33	15	“	"	PUNCT
ejpam-6079	33	16	reverse	reverse	ADJ
ejpam-6079	33	17	conditional	conditional	ADJ
ejpam-6079	33	18	symmetry	symmetry	NOUN
ejpam-6079	33	19	model	model	NOUN
ejpam-6079	33	20	.	.	PUNCT
ejpam-6079	33	21	”	"	PUNCT
ejpam-6079	34	1	if	if	SCONJ
ejpam-6079	34	2	the	the	PRON
ejpam-6079	34	3	as	as	ADP
ejpam-6079	34	4	model	model	NOUN
ejpam-6079	34	5	fits	fit	VERB
ejpam-6079	34	6	the	the	DET
ejpam-6079	34	7	dataset	dataset	NOUN
ejpam-6079	34	8	in	in	ADP
ejpam-6079	34	9	table	table	NOUN
ejpam-6079	34	10	1	1	NUM
ejpam-6079	34	11	well	well	ADV
ejpam-6079	34	12	,	,	PUNCT
ejpam-6079	34	13	we	we	PRON
ejpam-6079	34	14	can	can	AUX
ejpam-6079	34	15	conclude	conclude	VERB
ejpam-6079	34	16	that	that	SCONJ
ejpam-6079	34	17	the	the	DET
ejpam-6079	34	18	criteria	criterion	NOUN
ejpam-6079	34	19	for	for	ADP
ejpam-6079	34	20	grip	grip	NOUN
ejpam-6079	34	21	strength	strength	NOUN
ejpam-6079	34	22	classification	classification	NOUN
ejpam-6079	34	23	,	,	PUNCT
ejpam-6079	34	24	as	as	SCONJ
ejpam-6079	34	25	outlined	outline	VERB
ejpam-6079	34	26	in	in	ADP
ejpam-6079	34	27	the	the	DET
ejpam-6079	34	28	nhanes	nhane	NOUN
ejpam-6079	34	29	manual	manual	NOUN
ejpam-6079	34	30	,	,	PUNCT
ejpam-6079	34	31	are	be	AUX
ejpam-6079	34	32	functioning	function	VERB
ejpam-6079	34	33	effectively	effectively	ADV
ejpam-6079	34	34	.	.	PUNCT
ejpam-6079	35	1	conversely	conversely	ADV
ejpam-6079	35	2	,	,	PUNCT
ejpam-6079	35	3	if	if	SCONJ
ejpam-6079	35	4	the	the	DET
ejpam-6079	35	5	acs	acs	PROPN
ejpam-6079	35	6	model	model	NOUN
ejpam-6079	35	7	fits	fit	VERB
ejpam-6079	35	8	the	the	DET
ejpam-6079	35	9	dataset	dataset	NOUN
ejpam-6079	35	10	in	in	ADP
ejpam-6079	35	11	table	table	NOUN
ejpam-6079	35	12	1	1	NUM
ejpam-6079	36	1	well	well	ADV
ejpam-6079	36	2	,	,	PUNCT
ejpam-6079	36	3	we	we	PRON
ejpam-6079	36	4	can	can	AUX
ejpam-6079	36	5	interpret	interpret	VERB
ejpam-6079	36	6	the	the	DET
ejpam-6079	36	7	criteria	criterion	NOUN
ejpam-6079	36	8	as	as	ADP
ejpam-6079	36	9	working	work	VERB
ejpam-6079	36	10	poorly	poorly	ADV
ejpam-6079	36	11	.	.	PUNCT
ejpam-6079	37	1	this	this	PRON
ejpam-6079	37	2	is	be	AUX
ejpam-6079	37	3	due	due	ADJ
ejpam-6079	37	4	to	to	ADP
ejpam-6079	37	5	the	the	DET
ejpam-6079	37	6	following	following	ADJ
ejpam-6079	37	7	reasons	reason	NOUN
ejpam-6079	37	8	:	:	PUNCT
ejpam-6079	37	9	(	(	PUNCT
ejpam-6079	37	10	i	i	NOUN
ejpam-6079	37	11	)	)	PUNCT
ejpam-6079	37	12	if	if	SCONJ
ejpam-6079	37	13	the	the	DET
ejpam-6079	37	14	asymmetry	asymmetry	NOUN
ejpam-6079	37	15	parameter	parameter	NOUN
ejpam-6079	37	16	of	of	ADP
ejpam-6079	37	17	the	the	DET
ejpam-6079	37	18	acs	acs	PROPN
ejpam-6079	37	19	model	model	NOUN
ejpam-6079	37	20	is	be	AUX
ejpam-6079	37	21	greater	great	ADJ
ejpam-6079	37	22	than	than	ADP
ejpam-6079	37	23	one	one	NUM
ejpam-6079	37	24	,	,	PUNCT
ejpam-6079	37	25	people	people	NOUN
ejpam-6079	37	26	with	with	ADP
ejpam-6079	37	27	high	high	ADJ
ejpam-6079	37	28	grip	grip	NOUN
ejpam-6079	37	29	strength	strength	NOUN
ejpam-6079	37	30	levels	level	NOUN
ejpam-6079	37	31	are	be	AUX
ejpam-6079	37	32	greater	great	ADJ
ejpam-6079	37	33	than	than	ADP
ejpam-6079	37	34	people	people	NOUN
ejpam-6079	37	35	with	with	ADP
ejpam-6079	37	36	low	low	ADJ
ejpam-6079	37	37	grip	grip	NOUN
ejpam-6079	37	38	strength	strength	NOUN
ejpam-6079	37	39	levels	level	NOUN
ejpam-6079	37	40	,	,	PUNCT
ejpam-6079	37	41	(	(	PUNCT
ejpam-6079	37	42	ii	ii	NOUN
ejpam-6079	37	43	)	)	PUNCT
ejpam-6079	37	44	if	if	SCONJ
ejpam-6079	37	45	it	it	PRON
ejpam-6079	37	46	is	be	AUX
ejpam-6079	37	47	less	less	ADJ
ejpam-6079	37	48	than	than	ADP
ejpam-6079	37	49	one	one	NUM
ejpam-6079	37	50	,	,	PUNCT
ejpam-6079	37	51	people	people	NOUN
ejpam-6079	37	52	with	with	ADP
ejpam-6079	37	53	high	high	ADJ
ejpam-6079	37	54	grip	grip	NOUN
ejpam-6079	37	55	strength	strength	NOUN
ejpam-6079	37	56	levels	level	NOUN
ejpam-6079	37	57	are	be	AUX
ejpam-6079	37	58	fewer	few	ADJ
ejpam-6079	37	59	than	than	ADP
ejpam-6079	37	60	people	people	NOUN
ejpam-6079	37	61	with	with	ADP
ejpam-6079	37	62	low	low	ADJ
ejpam-6079	37	63	grip	grip	NOUN
ejpam-6079	37	64	strength	strength	NOUN
ejpam-6079	37	65	levels	level	NOUN
ejpam-6079	37	66	,	,	PUNCT
ejpam-6079	37	67	and	and	CCONJ
ejpam-6079	37	68	(	(	PUNCT
ejpam-6079	37	69	iii	iii	X
ejpam-6079	37	70	)	)	PUNCT
ejpam-6079	37	71	if	if	SCONJ
ejpam-6079	37	72	it	it	PRON
ejpam-6079	37	73	is	be	AUX
ejpam-6079	37	74	equal	equal	ADJ
ejpam-6079	37	75	to	to	ADP
ejpam-6079	37	76	one	one	NUM
ejpam-6079	37	77	(	(	PUNCT
ejpam-6079	37	78	i.e.	i.e.	X
ejpam-6079	37	79	,	,	PUNCT
ejpam-6079	37	80	the	the	DET
ejpam-6079	37	81	as	as	ADP
ejpam-6079	37	82	model	model	NOUN
ejpam-6079	37	83	holds	hold	NOUN
ejpam-6079	37	84	)	)	PUNCT
ejpam-6079	37	85	,	,	PUNCT
ejpam-6079	37	86	there	there	PRON
ejpam-6079	37	87	are	be	VERB
ejpam-6079	37	88	equal	equal	ADJ
ejpam-6079	37	89	numbers	number	NOUN
ejpam-6079	37	90	of	of	ADP
ejpam-6079	37	91	people	people	NOUN
ejpam-6079	37	92	with	with	ADP
ejpam-6079	37	93	high	high	ADJ
ejpam-6079	37	94	and	and	CCONJ
ejpam-6079	37	95	low	low	ADJ
ejpam-6079	37	96	grip	grip	NOUN
ejpam-6079	37	97	strength	strength	NOUN
ejpam-6079	37	98	levels	level	NOUN
ejpam-6079	37	99	.	.	PUNCT
ejpam-6079	38	1	it	it	PRON
ejpam-6079	38	2	is	be	AUX
ejpam-6079	38	3	notable	notable	ADJ
ejpam-6079	38	4	that	that	SCONJ
ejpam-6079	38	5	both	both	CCONJ
ejpam-6079	38	6	the	the	DET
ejpam-6079	38	7	as	as	ADP
ejpam-6079	38	8	and	and	CCONJ
ejpam-6079	38	9	acs	acs	NOUN
ejpam-6079	38	10	models	model	NOUN
ejpam-6079	38	11	do	do	AUX
ejpam-6079	38	12	not	not	PART
ejpam-6079	38	13	fit	fit	VERB
ejpam-6079	38	14	to	to	ADP
ejpam-6079	38	15	the	the	DET
ejpam-6079	38	16	dataset	dataset	NOUN
ejpam-6079	38	17	s.	s.	PROPN
ejpam-6079	38	18	ando	ando	PROPN
ejpam-6079	38	19	/	/	SYM
ejpam-6079	38	20	eur	eur	PROPN
ejpam-6079	38	21	.	.	PUNCT
ejpam-6079	39	1	j.	j.	PROPN
ejpam-6079	39	2	pure	pure	PROPN
ejpam-6079	39	3	appl	appl	PROPN
ejpam-6079	39	4	.	.	PROPN
ejpam-6079	39	5	math	math	PROPN
ejpam-6079	39	6	,	,	PUNCT
ejpam-6079	39	7	18	18	NUM
ejpam-6079	39	8	(	(	PUNCT
ejpam-6079	39	9	2	2	NUM
ejpam-6079	39	10	)	)	PUNCT
ejpam-6079	39	11	(	(	PUNCT
ejpam-6079	39	12	2025	2025	NUM
ejpam-6079	39	13	)	)	PUNCT
ejpam-6079	39	14	,	,	PUNCT
ejpam-6079	39	15	6079	6079	NUM
ejpam-6079	39	16	3	3	NUM
ejpam-6079	39	17	of	of	ADP
ejpam-6079	39	18	14	14	NUM
ejpam-6079	39	19	presented	present	VERB
ejpam-6079	39	20	in	in	ADP
ejpam-6079	39	21	table	table	NOUN
ejpam-6079	39	22	1	1	NUM
ejpam-6079	39	23	well	well	ADV
ejpam-6079	39	24	.	.	PUNCT
ejpam-6079	40	1	for	for	ADP
ejpam-6079	40	2	a	a	DET
ejpam-6079	40	3	comprehensive	comprehensive	ADJ
ejpam-6079	40	4	examination	examination	NOUN
ejpam-6079	40	5	of	of	ADP
ejpam-6079	40	6	these	these	DET
ejpam-6079	40	7	results	result	NOUN
ejpam-6079	40	8	,	,	PUNCT
ejpam-6079	40	9	please	please	INTJ
ejpam-6079	40	10	refer	refer	VERB
ejpam-6079	40	11	to	to	ADP
ejpam-6079	40	12	section	section	NOUN
ejpam-6079	40	13	5	5	NUM
ejpam-6079	40	14	.	.	PUNCT
ejpam-6079	41	1	this	this	DET
ejpam-6079	41	2	study	study	NOUN
ejpam-6079	41	3	proposes	propose	VERB
ejpam-6079	41	4	an	an	DET
ejpam-6079	41	5	anti	anti	ADJ
ejpam-6079	41	6	-	-	ADJ
ejpam-6079	41	7	dps	dps	ADJ
ejpam-6079	41	8	(	(	PUNCT
ejpam-6079	41	9	adps	adps	NOUN
ejpam-6079	41	10	)	)	PUNCT
ejpam-6079	41	11	model	model	NOUN
ejpam-6079	41	12	,	,	PUNCT
ejpam-6079	41	13	which	which	PRON
ejpam-6079	41	14	represents	represent	VERB
ejpam-6079	41	15	an	an	DET
ejpam-6079	41	16	asymmetric	asymmetric	ADJ
ejpam-6079	41	17	structure	structure	NOUN
ejpam-6079	41	18	with	with	ADP
ejpam-6079	41	19	respect	respect	NOUN
ejpam-6079	41	20	to	to	ADP
ejpam-6079	41	21	the	the	DET
ejpam-6079	41	22	anti	anti	ADJ
ejpam-6079	41	23	-	-	ADJ
ejpam-6079	41	24	diagonal	diagonal	ADJ
ejpam-6079	41	25	of	of	ADP
ejpam-6079	41	26	the	the	DET
ejpam-6079	41	27	table	table	NOUN
ejpam-6079	41	28	.	.	PUNCT
ejpam-6079	42	1	this	this	DET
ejpam-6079	42	2	structure	structure	NOUN
ejpam-6079	42	3	corresponds	correspond	VERB
ejpam-6079	42	4	to	to	ADP
ejpam-6079	42	5	the	the	DET
ejpam-6079	42	6	dps	dps	NOUN
ejpam-6079	42	7	model	model	NOUN
ejpam-6079	42	8	,	,	PUNCT
ejpam-6079	42	9	which	which	PRON
ejpam-6079	42	10	represents	represent	VERB
ejpam-6079	42	11	an	an	DET
ejpam-6079	42	12	asymmetric	asymmetric	ADJ
ejpam-6079	42	13	structure	structure	NOUN
ejpam-6079	42	14	with	with	ADP
ejpam-6079	42	15	respect	respect	NOUN
ejpam-6079	42	16	to	to	ADP
ejpam-6079	42	17	the	the	DET
ejpam-6079	42	18	main	main	ADJ
ejpam-6079	42	19	diagonal	diagonal	NOUN
ejpam-6079	42	20	.	.	PUNCT
ejpam-6079	43	1	furthermore	furthermore	ADV
ejpam-6079	43	2	,	,	PUNCT
ejpam-6079	43	3	this	this	DET
ejpam-6079	43	4	study	study	NOUN
ejpam-6079	43	5	provides	provide	VERB
ejpam-6079	43	6	a	a	DET
ejpam-6079	43	7	separation	separation	NOUN
ejpam-6079	43	8	of	of	ADP
ejpam-6079	43	9	the	the	PRON
ejpam-6079	43	10	as	as	ADP
ejpam-6079	43	11	model	model	NOUN
ejpam-6079	43	12	using	use	VERB
ejpam-6079	43	13	the	the	DET
ejpam-6079	43	14	adps	adps	NOUN
ejpam-6079	43	15	model	model	NOUN
ejpam-6079	43	16	and	and	CCONJ
ejpam-6079	43	17	a	a	DET
ejpam-6079	43	18	separation	separation	NOUN
ejpam-6079	43	19	of	of	ADP
ejpam-6079	43	20	the	the	DET
ejpam-6079	43	21	test	test	NOUN
ejpam-6079	43	22	statistic	statistic	NOUN
ejpam-6079	43	23	for	for	ADP
ejpam-6079	43	24	the	the	PRON
ejpam-6079	43	25	as	as	ADP
ejpam-6079	43	26	model	model	NOUN
ejpam-6079	43	27	.	.	PUNCT
ejpam-6079	44	1	the	the	DET
ejpam-6079	44	2	remainder	remainder	NOUN
ejpam-6079	44	3	of	of	ADP
ejpam-6079	44	4	this	this	DET
ejpam-6079	44	5	paper	paper	NOUN
ejpam-6079	44	6	is	be	AUX
ejpam-6079	44	7	organized	organize	VERB
ejpam-6079	44	8	as	as	SCONJ
ejpam-6079	44	9	follows	follow	VERB
ejpam-6079	44	10	.	.	PUNCT
ejpam-6079	45	1	in	in	ADP
ejpam-6079	45	2	section	section	NOUN
ejpam-6079	45	3	2	2	NUM
ejpam-6079	45	4	,	,	PUNCT
ejpam-6079	45	5	we	we	PRON
ejpam-6079	45	6	introduce	introduce	VERB
ejpam-6079	45	7	the	the	DET
ejpam-6079	45	8	adps	adps	NOUN
ejpam-6079	45	9	model	model	NOUN
ejpam-6079	45	10	and	and	CCONJ
ejpam-6079	45	11	other	other	ADJ
ejpam-6079	45	12	related	related	ADJ
ejpam-6079	45	13	models	model	NOUN
ejpam-6079	45	14	,	,	PUNCT
ejpam-6079	45	15	including	include	VERB
ejpam-6079	45	16	those	those	PRON
ejpam-6079	45	17	described	describe	VERB
ejpam-6079	45	18	in	in	ADP
ejpam-6079	45	19	section	section	NOUN
ejpam-6079	45	20	1	1	NUM
ejpam-6079	45	21	.	.	PUNCT
ejpam-6079	45	22	section	section	NOUN
ejpam-6079	45	23	3	3	NUM
ejpam-6079	45	24	presents	present	VERB
ejpam-6079	45	25	the	the	DET
ejpam-6079	45	26	separation	separation	NOUN
ejpam-6079	45	27	of	of	ADP
ejpam-6079	45	28	the	the	PRON
ejpam-6079	45	29	as	as	ADP
ejpam-6079	45	30	model	model	NOUN
ejpam-6079	45	31	using	use	VERB
ejpam-6079	45	32	the	the	DET
ejpam-6079	45	33	adps	adps	NOUN
ejpam-6079	45	34	model	model	NOUN
ejpam-6079	45	35	,	,	PUNCT
ejpam-6079	45	36	while	while	SCONJ
ejpam-6079	45	37	section	section	NOUN
ejpam-6079	45	38	4	4	NUM
ejpam-6079	45	39	illustrates	illustrate	VERB
ejpam-6079	45	40	the	the	DET
ejpam-6079	45	41	separation	separation	NOUN
ejpam-6079	45	42	of	of	ADP
ejpam-6079	45	43	the	the	DET
ejpam-6079	45	44	test	test	NOUN
ejpam-6079	45	45	statistic	statistic	NOUN
ejpam-6079	45	46	for	for	ADP
ejpam-6079	45	47	the	the	PRON
ejpam-6079	45	48	as	as	ADP
ejpam-6079	45	49	model	model	NOUN
ejpam-6079	45	50	.	.	PUNCT
ejpam-6079	46	1	section	section	NOUN
ejpam-6079	46	2	5	5	NUM
ejpam-6079	46	3	illustrates	illustrate	VERB
ejpam-6079	46	4	the	the	DET
ejpam-6079	46	5	advantages	advantage	NOUN
ejpam-6079	46	6	of	of	ADP
ejpam-6079	46	7	the	the	DET
ejpam-6079	46	8	adps	adps	NOUN
ejpam-6079	46	9	model	model	NOUN
ejpam-6079	46	10	through	through	ADP
ejpam-6079	46	11	its	its	PRON
ejpam-6079	46	12	application	application	NOUN
ejpam-6079	46	13	to	to	ADP
ejpam-6079	46	14	the	the	DET
ejpam-6079	46	15	real	real	ADJ
ejpam-6079	46	16	dataset	dataset	NOUN
ejpam-6079	46	17	presented	present	VERB
ejpam-6079	46	18	in	in	ADP
ejpam-6079	46	19	table	table	NOUN
ejpam-6079	46	20	1	1	NUM
ejpam-6079	46	21	.	.	PUNCT
ejpam-6079	46	22	section	section	NOUN
ejpam-6079	46	23	6	6	NUM
ejpam-6079	46	24	presents	present	NOUN
ejpam-6079	46	25	concluding	conclude	VERB
ejpam-6079	46	26	remarks	remark	NOUN
ejpam-6079	46	27	and	and	CCONJ
ejpam-6079	46	28	suggests	suggest	VERB
ejpam-6079	46	29	avenues	avenue	NOUN
ejpam-6079	46	30	for	for	ADP
ejpam-6079	46	31	further	further	ADJ
ejpam-6079	46	32	research	research	NOUN
ejpam-6079	46	33	.	.	PUNCT
ejpam-6079	47	1	2	2	X
ejpam-6079	47	2	.	.	NUM
ejpam-6079	47	3	models	model	NOUN
ejpam-6079	47	4	2.1	2.1	NUM
ejpam-6079	47	5	.	.	PUNCT
ejpam-6079	47	6	models	model	NOUN
ejpam-6079	47	7	regarding	regard	VERB
ejpam-6079	47	8	main	main	ADJ
ejpam-6079	47	9	-	-	PUNCT
ejpam-6079	47	10	diagonal	diagonal	ADJ
ejpam-6079	47	11	cells	cell	NOUN
ejpam-6079	47	12	for	for	ADP
ejpam-6079	47	13	r	r	NOUN
ejpam-6079	47	14	×	×	PROPN
ejpam-6079	47	15	r	r	NOUN
ejpam-6079	47	16	ordinal	ordinal	ADJ
ejpam-6079	47	17	square	square	ADJ
ejpam-6079	47	18	tables	table	NOUN
ejpam-6079	47	19	,	,	PUNCT
ejpam-6079	47	20	we	we	PRON
ejpam-6079	47	21	denote	denote	VERB
ejpam-6079	47	22	πij	πij	PROPN
ejpam-6079	47	23	for	for	ADP
ejpam-6079	47	24	(	(	PUNCT
ejpam-6079	47	25	i	i	PROPN
ejpam-6079	47	26	,	,	PUNCT
ejpam-6079	47	27	j	j	PROPN
ejpam-6079	47	28	)	)	PUNCT
ejpam-6079	47	29	∈	∈	PROPN
ejpam-6079	47	30	a	a	PRON
ejpam-6079	47	31	as	as	ADP
ejpam-6079	47	32	the	the	DET
ejpam-6079	47	33	probability	probability	NOUN
ejpam-6079	47	34	that	that	SCONJ
ejpam-6079	47	35	an	an	DET
ejpam-6079	47	36	observed	observed	ADJ
ejpam-6079	47	37	frequency	frequency	NOUN
ejpam-6079	47	38	will	will	AUX
ejpam-6079	47	39	fall	fall	VERB
ejpam-6079	47	40	in	in	ADP
ejpam-6079	47	41	the	the	DET
ejpam-6079	47	42	(	(	PUNCT
ejpam-6079	47	43	i	i	NOUN
ejpam-6079	47	44	,	,	PUNCT
ejpam-6079	47	45	j)th	j)th	ADJ
ejpam-6079	47	46	cell	cell	NOUN
ejpam-6079	47	47	of	of	ADP
ejpam-6079	47	48	the	the	DET
ejpam-6079	47	49	table	table	NOUN
ejpam-6079	47	50	,	,	PUNCT
ejpam-6079	47	51	where	where	SCONJ
ejpam-6079	47	52	a	a	DET
ejpam-6079	47	53	=	=	X
ejpam-6079	47	54	{	{	PUNCT
ejpam-6079	47	55	(	(	PUNCT
ejpam-6079	47	56	i	i	PROPN
ejpam-6079	47	57	,	,	PUNCT
ejpam-6079	47	58	j	j	PROPN
ejpam-6079	47	59	)	)	PUNCT
ejpam-6079	47	60	|	|	ADV
ejpam-6079	47	61	i	i	PRON
ejpam-6079	47	62	,	,	PUNCT
ejpam-6079	47	63	j	j	PROPN
ejpam-6079	47	64	=	=	SYM
ejpam-6079	47	65	1	1	NUM
ejpam-6079	47	66	,	,	PUNCT
ejpam-6079	47	67	2	2	NUM
ejpam-6079	47	68	,	,	PUNCT
ejpam-6079	47	69	.	.	PUNCT
ejpam-6079	47	70	.	.	PUNCT
ejpam-6079	48	1	.	.	PUNCT
ejpam-6079	49	1	,	,	PUNCT
ejpam-6079	49	2	r	r	NOUN
ejpam-6079	49	3	}	}	PUNCT
ejpam-6079	49	4	.	.	PUNCT
ejpam-6079	50	1	in	in	ADP
ejpam-6079	50	2	order	order	NOUN
ejpam-6079	50	3	to	to	PART
ejpam-6079	50	4	ascertain	ascertain	VERB
ejpam-6079	50	5	whether	whether	SCONJ
ejpam-6079	50	6	the	the	DET
ejpam-6079	50	7	cell	cell	NOUN
ejpam-6079	50	8	probabilities	probability	NOUN
ejpam-6079	50	9	are	be	AUX
ejpam-6079	50	10	symmetric	symmetric	ADJ
ejpam-6079	50	11	or	or	CCONJ
ejpam-6079	50	12	asymmetric	asymmetric	ADJ
ejpam-6079	50	13	with	with	ADP
ejpam-6079	50	14	respect	respect	NOUN
ejpam-6079	50	15	to	to	ADP
ejpam-6079	50	16	the	the	DET
ejpam-6079	50	17	main	main	ADJ
ejpam-6079	50	18	diagonal	diagonal	NOUN
ejpam-6079	50	19	,	,	PUNCT
ejpam-6079	50	20	we	we	PRON
ejpam-6079	50	21	consider	consider	VERB
ejpam-6079	50	22	a	a	DET
ejpam-6079	50	23	class	class	NOUN
ejpam-6079	50	24	of	of	ADP
ejpam-6079	50	25	model	model	NOUN
ejpam-6079	50	26	which	which	PRON
ejpam-6079	50	27	is	be	AUX
ejpam-6079	50	28	defined	define	VERB
ejpam-6079	50	29	by	by	ADP
ejpam-6079	50	30	the	the	DET
ejpam-6079	50	31	following	follow	VERB
ejpam-6079	50	32	equation	equation	NOUN
ejpam-6079	50	33	:	:	PUNCT
ejpam-6079	51	1	πij	πij	PROPN
ejpam-6079	51	2	=	=	PROPN
ejpam-6079	51	3	δijπji	δijπji	VERB
ejpam-6079	51	4	for	for	ADP
ejpam-6079	51	5	(	(	PUNCT
ejpam-6079	51	6	i	i	PROPN
ejpam-6079	51	7	,	,	PUNCT
ejpam-6079	51	8	j	j	PROPN
ejpam-6079	51	9	)	)	PUNCT
ejpam-6079	51	10	∈	∈	PROPN
ejpam-6079	52	1	d	d	NOUN
ejpam-6079	52	2	,	,	PUNCT
ejpam-6079	52	3	where	where	SCONJ
ejpam-6079	52	4	d	d	NOUN
ejpam-6079	52	5	=	=	PRON
ejpam-6079	52	6	{	{	PUNCT
ejpam-6079	52	7	(	(	PUNCT
ejpam-6079	52	8	i	i	PROPN
ejpam-6079	52	9	,	,	PUNCT
ejpam-6079	52	10	j	j	PROPN
ejpam-6079	52	11	)	)	PUNCT
ejpam-6079	53	1	|	|	ADV
ejpam-6079	53	2	i	i	PRON
ejpam-6079	53	3	,	,	PUNCT
ejpam-6079	53	4	j	j	PROPN
ejpam-6079	53	5	=	=	SYM
ejpam-6079	53	6	1	1	NUM
ejpam-6079	53	7	,	,	PUNCT
ejpam-6079	53	8	2	2	NUM
ejpam-6079	53	9	,	,	PUNCT
ejpam-6079	53	10	.	.	PUNCT
ejpam-6079	53	11	.	.	PUNCT
ejpam-6079	53	12	.	.	PUNCT
ejpam-6079	54	1	,	,	PUNCT
ejpam-6079	54	2	r	r	X
ejpam-6079	54	3	,	,	PUNCT
ejpam-6079	54	4	i	i	PRON
ejpam-6079	54	5	<	<	X
ejpam-6079	54	6	j	j	PROPN
ejpam-6079	54	7	}	}	PUNCT
ejpam-6079	54	8	.	.	PUNCT
ejpam-6079	55	1	when	when	SCONJ
ejpam-6079	55	2	no	no	DET
ejpam-6079	55	3	restrictions	restriction	NOUN
ejpam-6079	55	4	are	be	AUX
ejpam-6079	55	5	imposed	impose	VERB
ejpam-6079	55	6	on	on	ADP
ejpam-6079	55	7	δij	δij	NOUN
ejpam-6079	55	8	for	for	ADP
ejpam-6079	55	9	(	(	PUNCT
ejpam-6079	55	10	i	i	PROPN
ejpam-6079	55	11	,	,	PUNCT
ejpam-6079	55	12	j	j	PROPN
ejpam-6079	55	13	)	)	PUNCT
ejpam-6079	55	14	∈	∈	PROPN
ejpam-6079	56	1	d	d	NOUN
ejpam-6079	56	2	,	,	PUNCT
ejpam-6079	56	3	the	the	DET
ejpam-6079	56	4	above	above	ADJ
ejpam-6079	56	5	model	model	NOUN
ejpam-6079	56	6	is	be	AUX
ejpam-6079	56	7	identical	identical	ADJ
ejpam-6079	56	8	to	to	ADP
ejpam-6079	56	9	a	a	DET
ejpam-6079	56	10	saturated	saturate	VERB
ejpam-6079	56	11	model	model	NOUN
ejpam-6079	56	12	.	.	PUNCT
ejpam-6079	57	1	conversely	conversely	ADV
ejpam-6079	57	2	,	,	PUNCT
ejpam-6079	57	3	when	when	SCONJ
ejpam-6079	57	4	restrictions	restriction	NOUN
ejpam-6079	57	5	are	be	AUX
ejpam-6079	57	6	imposed	impose	VERB
ejpam-6079	57	7	on	on	ADP
ejpam-6079	57	8	δij	δij	NOUN
ejpam-6079	57	9	for	for	ADP
ejpam-6079	57	10	(	(	PUNCT
ejpam-6079	57	11	i	i	PROPN
ejpam-6079	57	12	,	,	PUNCT
ejpam-6079	57	13	j	j	PROPN
ejpam-6079	57	14	)	)	PUNCT
ejpam-6079	57	15	∈	∈	PROPN
ejpam-6079	58	1	d	d	X
ejpam-6079	58	2	(	(	PUNCT
ejpam-6079	58	3	i.e.	i.e.	X
ejpam-6079	58	4	,	,	PUNCT
ejpam-6079	58	5	δij	δij	NOUN
ejpam-6079	58	6	=	=	SYM
ejpam-6079	58	7	1	1	NUM
ejpam-6079	58	8	for	for	ADP
ejpam-6079	58	9	(	(	PUNCT
ejpam-6079	58	10	i	i	PROPN
ejpam-6079	58	11	,	,	PUNCT
ejpam-6079	58	12	j	j	PROPN
ejpam-6079	58	13	)	)	PUNCT
ejpam-6079	58	14	∈	∈	PROPN
ejpam-6079	58	15	d	d	NOUN
ejpam-6079	58	16	,	,	PUNCT
ejpam-6079	58	17	δij	δij	NOUN
ejpam-6079	58	18	=	=	SYM
ejpam-6079	58	19	δ	δ	PROPN
ejpam-6079	58	20	for	for	ADP
ejpam-6079	58	21	(	(	PUNCT
ejpam-6079	58	22	i	i	PROPN
ejpam-6079	58	23	,	,	PUNCT
ejpam-6079	58	24	j	j	PROPN
ejpam-6079	58	25	)	)	PUNCT
ejpam-6079	58	26	∈	∈	PROPN
ejpam-6079	58	27	d	d	NOUN
ejpam-6079	58	28	and	and	CCONJ
ejpam-6079	58	29	δij	δij	NOUN
ejpam-6079	58	30	=	=	SYM
ejpam-6079	58	31	δj−i	δj−i	NOUN
ejpam-6079	58	32	for	for	ADP
ejpam-6079	58	33	(	(	PUNCT
ejpam-6079	58	34	i	i	PROPN
ejpam-6079	58	35	,	,	PUNCT
ejpam-6079	58	36	j	j	PROPN
ejpam-6079	58	37	)	)	PUNCT
ejpam-6079	58	38	∈	∈	PROPN
ejpam-6079	58	39	d	d	PROPN
ejpam-6079	58	40	)	)	PUNCT
ejpam-6079	58	41	,	,	PUNCT
ejpam-6079	58	42	the	the	DET
ejpam-6079	58	43	above	above	ADJ
ejpam-6079	58	44	model	model	NOUN
ejpam-6079	58	45	is	be	AUX
ejpam-6079	58	46	identical	identical	ADJ
ejpam-6079	58	47	to	to	ADP
ejpam-6079	58	48	the	the	DET
ejpam-6079	58	49	s	s	PROPN
ejpam-6079	58	50	,	,	PUNCT
ejpam-6079	58	51	cs	cs	ADJ
ejpam-6079	58	52	,	,	PUNCT
ejpam-6079	58	53	dps	dps	NOUN
ejpam-6079	58	54	models	model	NOUN
ejpam-6079	58	55	,	,	PUNCT
ejpam-6079	58	56	respectively	respectively	ADV
ejpam-6079	58	57	.	.	PUNCT
ejpam-6079	59	1	the	the	DET
ejpam-6079	59	2	cs	cs	PROPN
ejpam-6079	59	3	model	model	NOUN
ejpam-6079	59	4	is	be	AUX
ejpam-6079	59	5	a	a	DET
ejpam-6079	59	6	special	special	ADJ
ejpam-6079	59	7	case	case	NOUN
ejpam-6079	59	8	of	of	ADP
ejpam-6079	59	9	the	the	DET
ejpam-6079	59	10	s	s	NOUN
ejpam-6079	59	11	model	model	NOUN
ejpam-6079	59	12	because	because	SCONJ
ejpam-6079	59	13	the	the	DET
ejpam-6079	59	14	cs	cs	PROPN
ejpam-6079	59	15	model	model	NOUN
ejpam-6079	59	16	with	with	ADP
ejpam-6079	59	17	δ	δ	PROPN
ejpam-6079	59	18	=	=	SYM
ejpam-6079	59	19	1	1	NUM
ejpam-6079	59	20	is	be	AUX
ejpam-6079	59	21	identical	identical	ADJ
ejpam-6079	59	22	to	to	ADP
ejpam-6079	59	23	the	the	DET
ejpam-6079	59	24	s	s	PART
ejpam-6079	59	25	model	model	NOUN
ejpam-6079	59	26	.	.	PUNCT
ejpam-6079	60	1	in	in	ADP
ejpam-6079	60	2	other	other	ADJ
ejpam-6079	60	3	words	word	NOUN
ejpam-6079	60	4	,	,	PUNCT
ejpam-6079	60	5	if	if	SCONJ
ejpam-6079	60	6	the	the	DET
ejpam-6079	60	7	s	s	PROPN
ejpam-6079	60	8	model	model	NOUN
ejpam-6079	60	9	holds	hold	VERB
ejpam-6079	60	10	then	then	ADV
ejpam-6079	60	11	the	the	DET
ejpam-6079	60	12	cs	cs	PROPN
ejpam-6079	60	13	model	model	NOUN
ejpam-6079	60	14	always	always	ADV
ejpam-6079	60	15	holds	hold	VERB
ejpam-6079	60	16	,	,	PUNCT
ejpam-6079	60	17	although	although	SCONJ
ejpam-6079	60	18	the	the	DET
ejpam-6079	60	19	converse	converse	NOUN
ejpam-6079	60	20	is	be	AUX
ejpam-6079	60	21	not	not	PART
ejpam-6079	60	22	necessarily	necessarily	ADV
ejpam-6079	60	23	true	true	ADJ
ejpam-6079	60	24	.	.	PUNCT
ejpam-6079	61	1	as	as	ADP
ejpam-6079	61	2	special	special	ADJ
ejpam-6079	61	3	cases	case	NOUN
ejpam-6079	61	4	of	of	ADP
ejpam-6079	61	5	the	the	DET
ejpam-6079	61	6	dps	dps	NOUN
ejpam-6079	61	7	model	model	NOUN
ejpam-6079	61	8	,	,	PUNCT
ejpam-6079	61	9	the	the	DET
ejpam-6079	61	10	dps	dps	NOUN
ejpam-6079	61	11	model	model	NOUN
ejpam-6079	61	12	with	with	ADP
ejpam-6079	61	13	δj−i	δj−i	NOUN
ejpam-6079	61	14	=	=	SYM
ejpam-6079	61	15	δj−i	δj−i	NOUN
ejpam-6079	61	16	for	for	ADP
ejpam-6079	61	17	(	(	PUNCT
ejpam-6079	61	18	i	i	PROPN
ejpam-6079	61	19	,	,	PUNCT
ejpam-6079	61	20	j	j	PROPN
ejpam-6079	61	21	)	)	PUNCT
ejpam-6079	61	22	∈	∈	PROPN
ejpam-6079	62	1	d	d	NOUN
ejpam-6079	62	2	is	be	AUX
ejpam-6079	62	3	identical	identical	ADJ
ejpam-6079	62	4	to	to	ADP
ejpam-6079	62	5	the	the	DET
ejpam-6079	62	6	ldps	ldps	PROPN
ejpam-6079	62	7	model	model	PROPN
ejpam-6079	62	8	,	,	PUNCT
ejpam-6079	62	9	the	the	DET
ejpam-6079	62	10	dps	dps	NOUN
ejpam-6079	62	11	model	model	NOUN
ejpam-6079	62	12	with	with	ADP
ejpam-6079	62	13	δj−i	δj−i	PROPN
ejpam-6079	62	14	=	=	PROPN
ejpam-6079	62	15	δ	δ	PROPN
ejpam-6079	62	16	for	for	ADP
ejpam-6079	62	17	(	(	PUNCT
ejpam-6079	62	18	i	i	PROPN
ejpam-6079	62	19	,	,	PUNCT
ejpam-6079	62	20	j	j	PROPN
ejpam-6079	62	21	)	)	PUNCT
ejpam-6079	62	22	∈	∈	PROPN
ejpam-6079	63	1	d	d	NOUN
ejpam-6079	63	2	is	be	AUX
ejpam-6079	63	3	identical	identical	ADJ
ejpam-6079	63	4	to	to	ADP
ejpam-6079	63	5	the	the	DET
ejpam-6079	63	6	cs	cs	PROPN
ejpam-6079	63	7	model	model	NOUN
ejpam-6079	63	8	,	,	PUNCT
ejpam-6079	63	9	and	and	CCONJ
ejpam-6079	63	10	the	the	DET
ejpam-6079	63	11	dps	dps	NOUN
ejpam-6079	63	12	model	model	NOUN
ejpam-6079	63	13	with	with	ADP
ejpam-6079	63	14	δj−i	δj−i	NOUN
ejpam-6079	63	15	=	=	SYM
ejpam-6079	63	16	1	1	NUM
ejpam-6079	63	17	for	for	ADP
ejpam-6079	63	18	(	(	PUNCT
ejpam-6079	63	19	i	i	PROPN
ejpam-6079	63	20	,	,	PUNCT
ejpam-6079	63	21	j	j	PROPN
ejpam-6079	63	22	)	)	PUNCT
ejpam-6079	63	23	∈	∈	PROPN
ejpam-6079	64	1	d	d	NOUN
ejpam-6079	64	2	is	be	AUX
ejpam-6079	64	3	identical	identical	ADJ
ejpam-6079	64	4	to	to	ADP
ejpam-6079	64	5	the	the	DET
ejpam-6079	64	6	s	s	PART
ejpam-6079	64	7	model	model	NOUN
ejpam-6079	64	8	.	.	PUNCT
ejpam-6079	65	1	consequently	consequently	ADV
ejpam-6079	65	2	,	,	PUNCT
ejpam-6079	65	3	when	when	SCONJ
ejpam-6079	65	4	the	the	DET
ejpam-6079	65	5	s	s	PROPN
ejpam-6079	65	6	model	model	NOUN
ejpam-6079	65	7	holds	hold	VERB
ejpam-6079	65	8	,	,	PUNCT
ejpam-6079	65	9	the	the	DET
ejpam-6079	65	10	dps	dps	NOUN
ejpam-6079	65	11	model	model	NOUN
ejpam-6079	65	12	always	always	ADV
ejpam-6079	65	13	holds	hold	VERB
ejpam-6079	65	14	,	,	PUNCT
ejpam-6079	65	15	although	although	SCONJ
ejpam-6079	65	16	the	the	DET
ejpam-6079	65	17	inverse	inverse	NOUN
ejpam-6079	65	18	is	be	AUX
ejpam-6079	65	19	not	not	PART
ejpam-6079	65	20	necessarily	necessarily	ADV
ejpam-6079	65	21	true	true	ADJ
ejpam-6079	65	22	.	.	PUNCT
ejpam-6079	66	1	similarly	similarly	ADV
ejpam-6079	66	2	,	,	PUNCT
ejpam-6079	66	3	when	when	SCONJ
ejpam-6079	66	4	the	the	DET
ejpam-6079	66	5	cs	cs	PROPN
ejpam-6079	66	6	model	model	NOUN
ejpam-6079	66	7	holds	hold	VERB
ejpam-6079	66	8	,	,	PUNCT
ejpam-6079	66	9	the	the	DET
ejpam-6079	66	10	dps	dps	NOUN
ejpam-6079	66	11	model	model	NOUN
ejpam-6079	66	12	also	also	ADV
ejpam-6079	66	13	holds	hold	VERB
ejpam-6079	66	14	,	,	PUNCT
ejpam-6079	66	15	although	although	SCONJ
ejpam-6079	66	16	the	the	DET
ejpam-6079	66	17	converse	converse	NOUN
ejpam-6079	66	18	is	be	AUX
ejpam-6079	66	19	not	not	PART
ejpam-6079	66	20	necessarily	necessarily	ADV
ejpam-6079	66	21	true	true	ADJ
ejpam-6079	66	22	.	.	PUNCT
ejpam-6079	67	1	next	next	ADV
ejpam-6079	67	2	,	,	PUNCT
ejpam-6079	67	3	we	we	PRON
ejpam-6079	67	4	will	will	AUX
ejpam-6079	67	5	introduce	introduce	VERB
ejpam-6079	67	6	the	the	DET
ejpam-6079	67	7	separations	separation	NOUN
ejpam-6079	67	8	of	of	ADP
ejpam-6079	67	9	the	the	DET
ejpam-6079	67	10	s	s	X
ejpam-6079	67	11	model	model	NOUN
ejpam-6079	67	12	via	via	ADP
ejpam-6079	67	13	the	the	DET
ejpam-6079	67	14	cs	cs	PROPN
ejpam-6079	67	15	model	model	NOUN
ejpam-6079	67	16	or	or	CCONJ
ejpam-6079	67	17	the	the	DET
ejpam-6079	67	18	dps	dps	NOUN
ejpam-6079	67	19	model	model	NOUN
ejpam-6079	67	20	.	.	PUNCT
ejpam-6079	68	1	the	the	DET
ejpam-6079	68	2	global	global	ADJ
ejpam-6079	68	3	symmetry	symmetry	PROPN
ejpam-6079	68	4	(	(	PUNCT
ejpam-6079	68	5	gs	gs	NOUN
ejpam-6079	68	6	)	)	PUNCT
ejpam-6079	68	7	model	model	NOUN
ejpam-6079	68	8	[	[	X
ejpam-6079	68	9	12	12	NUM
ejpam-6079	68	10	]	]	PUNCT
ejpam-6079	68	11	represents	represent	VERB
ejpam-6079	68	12	the	the	DET
ejpam-6079	68	13	counterpart	counterpart	ADJ
ejpam-6079	68	14	model	model	NOUN
ejpam-6079	68	15	of	of	ADP
ejpam-6079	68	16	the	the	DET
ejpam-6079	68	17	cs	cs	PROPN
ejpam-6079	68	18	model	model	NOUN
ejpam-6079	68	19	in	in	ADP
ejpam-6079	68	20	the	the	DET
ejpam-6079	68	21	separation	separation	NOUN
ejpam-6079	68	22	of	of	ADP
ejpam-6079	68	23	the	the	DET
ejpam-6079	68	24	s	s	PART
ejpam-6079	68	25	model	model	NOUN
ejpam-6079	68	26	.	.	PUNCT
ejpam-6079	69	1	the	the	DET
ejpam-6079	69	2	gs	gs	PROPN
ejpam-6079	69	3	model	model	NOUN
ejpam-6079	69	4	is	be	AUX
ejpam-6079	69	5	defined	define	VERB
ejpam-6079	69	6	by	by	ADP
ejpam-6079	69	7	the	the	DET
ejpam-6079	69	8	following	follow	VERB
ejpam-6079	69	9	s.	s.	PROPN
ejpam-6079	69	10	ando	ando	PROPN
ejpam-6079	69	11	/	/	SYM
ejpam-6079	69	12	eur	eur	PROPN
ejpam-6079	69	13	.	.	PUNCT
ejpam-6079	70	1	j.	j.	PROPN
ejpam-6079	70	2	pure	pure	PROPN
ejpam-6079	70	3	appl	appl	PROPN
ejpam-6079	70	4	.	.	PROPN
ejpam-6079	70	5	math	math	PROPN
ejpam-6079	70	6	,	,	PUNCT
ejpam-6079	70	7	18	18	NUM
ejpam-6079	70	8	(	(	PUNCT
ejpam-6079	70	9	2	2	NUM
ejpam-6079	70	10	)	)	PUNCT
ejpam-6079	70	11	(	(	PUNCT
ejpam-6079	70	12	2025	2025	NUM
ejpam-6079	70	13	)	)	PUNCT
ejpam-6079	70	14	,	,	PUNCT
ejpam-6079	70	15	6079	6079	NUM
ejpam-6079	70	16	4	4	NUM
ejpam-6079	70	17	of	of	ADP
ejpam-6079	70	18	14	14	NUM
ejpam-6079	70	19	equation	equation	NOUN
ejpam-6079	70	20	:	:	PUNCT
ejpam-6079	70	21	∑∑	∑∑	PROPN
ejpam-6079	70	22	(	(	PUNCT
ejpam-6079	70	23	i	i	PRON
ejpam-6079	70	24	,	,	PUNCT
ejpam-6079	70	25	j)∈d	j)∈d	NOUN
ejpam-6079	70	26	πij	πij	PROPN
ejpam-6079	70	27	=	=	PUNCT
ejpam-6079	71	1	∑∑	∑∑	PROPN
ejpam-6079	71	2	(	(	PUNCT
ejpam-6079	71	3	i	i	PRON
ejpam-6079	71	4	,	,	PUNCT
ejpam-6079	71	5	j)∈d	j)∈d	NOUN
ejpam-6079	71	6	πji	πji	PROPN
ejpam-6079	71	7	.	.	PUNCT
ejpam-6079	72	1	the	the	DET
ejpam-6079	72	2	gs	gs	PROPN
ejpam-6079	72	3	model	model	NOUN
ejpam-6079	72	4	represents	represent	VERB
ejpam-6079	72	5	a	a	DET
ejpam-6079	72	6	structure	structure	NOUN
ejpam-6079	72	7	of	of	ADP
ejpam-6079	72	8	symmetry	symmetry	NOUN
ejpam-6079	72	9	in	in	ADP
ejpam-6079	72	10	which	which	PRON
ejpam-6079	72	11	the	the	DET
ejpam-6079	72	12	probability	probability	NOUN
ejpam-6079	72	13	of	of	ADP
ejpam-6079	72	14	an	an	DET
ejpam-6079	72	15	observation	observation	NOUN
ejpam-6079	72	16	occurring	occur	VERB
ejpam-6079	72	17	in	in	ADP
ejpam-6079	72	18	the	the	DET
ejpam-6079	72	19	upper	upper	ADJ
ejpam-6079	72	20	right	right	ADJ
ejpam-6079	72	21	non	non	ADJ
ejpam-6079	72	22	-	-	ADJ
ejpam-6079	72	23	diagonal	diagonal	ADJ
ejpam-6079	72	24	cells	cell	NOUN
ejpam-6079	72	25	of	of	ADP
ejpam-6079	72	26	the	the	DET
ejpam-6079	72	27	table	table	NOUN
ejpam-6079	72	28	is	be	AUX
ejpam-6079	72	29	equal	equal	ADJ
ejpam-6079	72	30	to	to	ADP
ejpam-6079	72	31	the	the	DET
ejpam-6079	72	32	probability	probability	NOUN
ejpam-6079	72	33	of	of	ADP
ejpam-6079	72	34	an	an	DET
ejpam-6079	72	35	observation	observation	NOUN
ejpam-6079	72	36	occurring	occur	VERB
ejpam-6079	72	37	in	in	ADP
ejpam-6079	72	38	the	the	DET
ejpam-6079	72	39	lower	low	ADJ
ejpam-6079	72	40	left	left	ADJ
ejpam-6079	72	41	non	non	ADJ
ejpam-6079	72	42	-	-	ADJ
ejpam-6079	72	43	diagonal	diagonal	ADJ
ejpam-6079	72	44	cells	cell	NOUN
ejpam-6079	72	45	.	.	PUNCT
ejpam-6079	73	1	in	in	ADP
ejpam-6079	73	2	this	this	DET
ejpam-6079	73	3	context	context	NOUN
ejpam-6079	73	4	,	,	PUNCT
ejpam-6079	73	5	the	the	DET
ejpam-6079	73	6	notation	notation	NOUN
ejpam-6079	73	7	g2(c	g2(c	NOUN
ejpam-6079	73	8	)	)	PUNCT
ejpam-6079	73	9	is	be	AUX
ejpam-6079	73	10	used	use	VERB
ejpam-6079	73	11	to	to	PART
ejpam-6079	73	12	represent	represent	VERB
ejpam-6079	73	13	the	the	DET
ejpam-6079	73	14	likelihood	likelihood	NOUN
ejpam-6079	73	15	ratio	ratio	NOUN
ejpam-6079	73	16	chi	chi	ADJ
ejpam-6079	73	17	-	-	PUNCT
ejpam-6079	73	18	squared	square	VERB
ejpam-6079	73	19	statistic	statistic	NOUN
ejpam-6079	73	20	for	for	ADP
ejpam-6079	73	21	testing	test	VERB
ejpam-6079	73	22	the	the	DET
ejpam-6079	73	23	goodness	goodness	NOUN
ejpam-6079	73	24	of	of	ADP
ejpam-6079	73	25	fit	fit	NOUN
ejpam-6079	73	26	of	of	ADP
ejpam-6079	73	27	the	the	DET
ejpam-6079	73	28	concerned	concerned	ADJ
ejpam-6079	73	29	model	model	NOUN
ejpam-6079	73	30	c.	c.	PROPN
ejpam-6079	73	31	in	in	ADP
ejpam-6079	73	32	their	their	PRON
ejpam-6079	73	33	study	study	NOUN
ejpam-6079	73	34	,	,	PUNCT
ejpam-6079	73	35	read	read	VERB
ejpam-6079	73	36	[	[	X
ejpam-6079	73	37	12	12	NUM
ejpam-6079	73	38	]	]	PUNCT
ejpam-6079	73	39	demonstrated	demonstrate	VERB
ejpam-6079	73	40	the	the	DET
ejpam-6079	73	41	following	follow	VERB
ejpam-6079	73	42	separation	separation	NOUN
ejpam-6079	73	43	of	of	ADP
ejpam-6079	73	44	the	the	DET
ejpam-6079	73	45	test	test	NOUN
ejpam-6079	73	46	statistic	statistic	NOUN
ejpam-6079	73	47	for	for	ADP
ejpam-6079	73	48	the	the	DET
ejpam-6079	73	49	s	s	PROPN
ejpam-6079	73	50	model	model	NOUN
ejpam-6079	73	51	:	:	PUNCT
ejpam-6079	73	52	g2(s	g2(s	NUM
ejpam-6079	73	53	)	)	PUNCT
ejpam-6079	73	54	=	=	SYM
ejpam-6079	73	55	g2(cs	g2(cs	PROPN
ejpam-6079	73	56	)	)	PUNCT
ejpam-6079	74	1	+	+	PROPN
ejpam-6079	74	2	g2(gs	g2(gs	PROPN
ejpam-6079	74	3	)	)	PUNCT
ejpam-6079	74	4	.	.	PUNCT
ejpam-6079	75	1	the	the	DET
ejpam-6079	75	2	marginal	marginal	ADJ
ejpam-6079	75	3	diagonal	diagonal	ADJ
ejpam-6079	75	4	sub	sub	NOUN
ejpam-6079	75	5	-	-	NOUN
ejpam-6079	75	6	symmetry	symmetry	ADJ
ejpam-6079	75	7	(	(	PUNCT
ejpam-6079	75	8	mdss	mdss	NOUN
ejpam-6079	75	9	)	)	PUNCT
ejpam-6079	75	10	model	model	NOUN
ejpam-6079	76	1	[	[	X
ejpam-6079	76	2	13	13	NUM
ejpam-6079	76	3	]	]	PUNCT
ejpam-6079	76	4	represents	represent	VERB
ejpam-6079	76	5	the	the	DET
ejpam-6079	76	6	counterpart	counterpart	ADJ
ejpam-6079	76	7	model	model	NOUN
ejpam-6079	76	8	of	of	ADP
ejpam-6079	76	9	the	the	DET
ejpam-6079	76	10	dps	dps	NOUN
ejpam-6079	76	11	model	model	NOUN
ejpam-6079	76	12	in	in	ADP
ejpam-6079	76	13	the	the	DET
ejpam-6079	76	14	separation	separation	NOUN
ejpam-6079	76	15	of	of	ADP
ejpam-6079	76	16	the	the	DET
ejpam-6079	76	17	s	s	PART
ejpam-6079	76	18	model	model	NOUN
ejpam-6079	76	19	.	.	PUNCT
ejpam-6079	77	1	the	the	DET
ejpam-6079	77	2	mdss	mdss	NOUN
ejpam-6079	77	3	model	model	NOUN
ejpam-6079	77	4	is	be	AUX
ejpam-6079	77	5	defined	define	VERB
ejpam-6079	77	6	by	by	ADP
ejpam-6079	77	7	the	the	DET
ejpam-6079	77	8	following	follow	VERB
ejpam-6079	77	9	equation:∑∑	equation:∑∑	X
ejpam-6079	77	10	(	(	PUNCT
ejpam-6079	77	11	i	i	PRON
ejpam-6079	77	12	,	,	PUNCT
ejpam-6079	77	13	j)∈dd	j)∈dd	PROPN
ejpam-6079	77	14	πij	πij	NOUN
ejpam-6079	77	15	=	=	PUNCT
ejpam-6079	77	16	∑∑	∑∑	PROPN
ejpam-6079	77	17	(	(	PUNCT
ejpam-6079	77	18	i	i	PROPN
ejpam-6079	77	19	,	,	PUNCT
ejpam-6079	77	20	j)∈dd	j)∈dd	PROPN
ejpam-6079	77	21	πji	πji	X
ejpam-6079	77	22	(	(	PUNCT
ejpam-6079	77	23	d	d	NOUN
ejpam-6079	77	24	=	=	SYM
ejpam-6079	77	25	1	1	NUM
ejpam-6079	77	26	,	,	PUNCT
ejpam-6079	77	27	2	2	NUM
ejpam-6079	77	28	,	,	PUNCT
ejpam-6079	77	29	.	.	PUNCT
ejpam-6079	77	30	.	.	PUNCT
ejpam-6079	78	1	.	.	PUNCT
ejpam-6079	79	1	,	,	PUNCT
ejpam-6079	79	2	r−	r−	PROPN
ejpam-6079	79	3	1	1	NUM
ejpam-6079	79	4	)	)	PUNCT
ejpam-6079	79	5	,	,	PUNCT
ejpam-6079	79	6	where	where	SCONJ
ejpam-6079	79	7	dd	dd	VERB
ejpam-6079	79	8	=	=	PRON
ejpam-6079	79	9	{	{	PUNCT
ejpam-6079	79	10	(	(	PUNCT
ejpam-6079	79	11	i	i	PROPN
ejpam-6079	79	12	,	,	PUNCT
ejpam-6079	79	13	j	j	PROPN
ejpam-6079	79	14	)	)	PUNCT
ejpam-6079	80	1	|	|	ADV
ejpam-6079	80	2	i	i	PRON
ejpam-6079	80	3	,	,	PUNCT
ejpam-6079	80	4	j	j	PROPN
ejpam-6079	80	5	=	=	SYM
ejpam-6079	80	6	1	1	NUM
ejpam-6079	80	7	,	,	PUNCT
ejpam-6079	80	8	2	2	NUM
ejpam-6079	80	9	,	,	PUNCT
ejpam-6079	80	10	.	.	PUNCT
ejpam-6079	80	11	.	.	PUNCT
ejpam-6079	80	12	.	.	PUNCT
ejpam-6079	81	1	,	,	PUNCT
ejpam-6079	81	2	r	r	X
ejpam-6079	81	3	,	,	PUNCT
ejpam-6079	81	4	i	i	PRON
ejpam-6079	81	5	<	<	X
ejpam-6079	81	6	j	j	PROPN
ejpam-6079	81	7	,	,	PUNCT
ejpam-6079	81	8	j	j	PROPN
ejpam-6079	82	1	−	−	NOUN
ejpam-6079	82	2	i	i	PRON
ejpam-6079	82	3	=	=	SYM
ejpam-6079	82	4	d	d	NOUN
ejpam-6079	82	5	}	}	PUNCT
ejpam-6079	82	6	.	.	PUNCT
ejpam-6079	83	1	tomizawa	tomizawa	PROPN
ejpam-6079	83	2	and	and	CCONJ
ejpam-6079	83	3	kato	kato	PROPN
ejpam-6079	84	1	[	[	X
ejpam-6079	84	2	13	13	NUM
ejpam-6079	84	3	]	]	PUNCT
ejpam-6079	84	4	demonstrated	demonstrate	VERB
ejpam-6079	84	5	the	the	DET
ejpam-6079	84	6	following	follow	VERB
ejpam-6079	84	7	separation	separation	NOUN
ejpam-6079	84	8	of	of	ADP
ejpam-6079	84	9	the	the	DET
ejpam-6079	84	10	test	test	NOUN
ejpam-6079	84	11	statistic	statistic	NOUN
ejpam-6079	84	12	for	for	ADP
ejpam-6079	84	13	the	the	DET
ejpam-6079	84	14	s	s	PROPN
ejpam-6079	84	15	model	model	NOUN
ejpam-6079	84	16	:	:	PUNCT
ejpam-6079	84	17	g2(s	g2(s	NUM
ejpam-6079	84	18	)	)	PUNCT
ejpam-6079	84	19	=	=	SYM
ejpam-6079	84	20	g2(dps	g2(dps	NOUN
ejpam-6079	84	21	)	)	PUNCT
ejpam-6079	85	1	+	+	NOUN
ejpam-6079	85	2	g2(mdss	g2(mdss	NOUN
ejpam-6079	85	3	)	)	PUNCT
ejpam-6079	85	4	.	.	PUNCT
ejpam-6079	86	1	2.2	2.2	NUM
ejpam-6079	86	2	.	.	PUNCT
ejpam-6079	86	3	models	model	NOUN
ejpam-6079	86	4	regarding	regard	VERB
ejpam-6079	86	5	anti	anti	ADJ
ejpam-6079	86	6	-	-	ADJ
ejpam-6079	86	7	diagonal	diagonal	ADJ
ejpam-6079	86	8	cells	cell	NOUN
ejpam-6079	86	9	in	in	ADP
ejpam-6079	86	10	order	order	NOUN
ejpam-6079	86	11	to	to	PART
ejpam-6079	86	12	ascertain	ascertain	VERB
ejpam-6079	86	13	whether	whether	SCONJ
ejpam-6079	86	14	the	the	DET
ejpam-6079	86	15	cell	cell	NOUN
ejpam-6079	86	16	probabilities	probability	NOUN
ejpam-6079	86	17	are	be	AUX
ejpam-6079	86	18	symmetric	symmetric	ADJ
ejpam-6079	86	19	with	with	ADP
ejpam-6079	86	20	respect	respect	NOUN
ejpam-6079	86	21	to	to	ADP
ejpam-6079	86	22	the	the	DET
ejpam-6079	86	23	anti	anti	ADJ
ejpam-6079	86	24	-	-	ADJ
ejpam-6079	86	25	diagonal	diagonal	ADJ
ejpam-6079	86	26	,	,	PUNCT
ejpam-6079	86	27	rather	rather	ADV
ejpam-6079	86	28	than	than	ADP
ejpam-6079	86	29	the	the	DET
ejpam-6079	86	30	main	main	ADJ
ejpam-6079	86	31	diagonal	diagonal	NOUN
ejpam-6079	86	32	,	,	PUNCT
ejpam-6079	86	33	iki	iki	PROPN
ejpam-6079	87	1	[	[	X
ejpam-6079	87	2	8	8	NUM
ejpam-6079	87	3	]	]	PUNCT
ejpam-6079	87	4	proposed	propose	VERB
ejpam-6079	87	5	the	the	DET
ejpam-6079	87	6	as	as	ADP
ejpam-6079	87	7	model	model	NOUN
ejpam-6079	87	8	,	,	PUNCT
ejpam-6079	87	9	which	which	PRON
ejpam-6079	87	10	is	be	AUX
ejpam-6079	87	11	defined	define	VERB
ejpam-6079	87	12	by	by	ADP
ejpam-6079	87	13	the	the	DET
ejpam-6079	87	14	following	follow	VERB
ejpam-6079	87	15	equation	equation	NOUN
ejpam-6079	87	16	:	:	PUNCT
ejpam-6079	87	17	πij	πij	NOUN
ejpam-6079	87	18	=	=	PROPN
ejpam-6079	87	19	πj∗i∗	πj∗i∗	PROPN
ejpam-6079	87	20	for	for	ADP
ejpam-6079	87	21	(	(	PUNCT
ejpam-6079	87	22	i	i	PROPN
ejpam-6079	87	23	,	,	PUNCT
ejpam-6079	87	24	j	j	PROPN
ejpam-6079	87	25	)	)	PUNCT
ejpam-6079	87	26	∈	∈	PROPN
ejpam-6079	87	27	e	e	NOUN
ejpam-6079	87	28	,	,	PUNCT
ejpam-6079	87	29	where	where	SCONJ
ejpam-6079	87	30	i∗	i∗	NOUN
ejpam-6079	87	31	=	=	SYM
ejpam-6079	87	32	r+	r+	X
ejpam-6079	87	33	1−	1−	NUM
ejpam-6079	87	34	i	i	NOUN
ejpam-6079	87	35	,	,	PUNCT
ejpam-6079	87	36	j∗	j∗	PROPN
ejpam-6079	87	37	=	=	SYM
ejpam-6079	87	38	r+	r+	X
ejpam-6079	87	39	1−	1−	NUM
ejpam-6079	87	40	j	j	PROPN
ejpam-6079	87	41	and	and	CCONJ
ejpam-6079	87	42	e	e	NOUN
ejpam-6079	87	43	=	=	PRON
ejpam-6079	87	44	{	{	PUNCT
ejpam-6079	87	45	(	(	PUNCT
ejpam-6079	87	46	i	i	PROPN
ejpam-6079	87	47	,	,	PUNCT
ejpam-6079	87	48	j	j	PROPN
ejpam-6079	87	49	)	)	PUNCT
ejpam-6079	88	1	|	|	ADV
ejpam-6079	88	2	i	i	PRON
ejpam-6079	88	3	,	,	PUNCT
ejpam-6079	88	4	j	j	PROPN
ejpam-6079	88	5	=	=	SYM
ejpam-6079	88	6	1	1	NUM
ejpam-6079	88	7	,	,	PUNCT
ejpam-6079	88	8	2	2	NUM
ejpam-6079	88	9	,	,	PUNCT
ejpam-6079	88	10	.	.	PUNCT
ejpam-6079	88	11	.	.	PUNCT
ejpam-6079	88	12	.	.	PUNCT
ejpam-6079	89	1	,	,	PUNCT
ejpam-6079	89	2	r	r	NOUN
ejpam-6079	89	3	,	,	PUNCT
ejpam-6079	89	4	i+	i+	NUM
ejpam-6079	90	1	j	j	X
ejpam-6079	90	2	<	<	X
ejpam-6079	90	3	r+	r+	VERB
ejpam-6079	90	4	1	1	NUM
ejpam-6079	90	5	}	}	PUNCT
ejpam-6079	90	6	.	.	PUNCT
ejpam-6079	91	1	readers	reader	NOUN
ejpam-6079	91	2	may	may	AUX
ejpam-6079	91	3	think	think	VERB
ejpam-6079	91	4	that	that	SCONJ
ejpam-6079	91	5	the	the	DET
ejpam-6079	91	6	structure	structure	NOUN
ejpam-6079	91	7	of	of	ADP
ejpam-6079	91	8	the	the	PRON
ejpam-6079	91	9	as	as	ADP
ejpam-6079	91	10	model	model	NOUN
ejpam-6079	91	11	corresponds	correspond	VERB
ejpam-6079	91	12	to	to	ADP
ejpam-6079	91	13	the	the	DET
ejpam-6079	91	14	structure	structure	NOUN
ejpam-6079	91	15	of	of	ADP
ejpam-6079	91	16	the	the	DET
ejpam-6079	91	17	s	s	NOUN
ejpam-6079	91	18	model	model	NOUN
ejpam-6079	91	19	,	,	PUNCT
ejpam-6079	91	20	in	in	ADP
ejpam-6079	91	21	which	which	PRON
ejpam-6079	91	22	the	the	DET
ejpam-6079	91	23	categories	category	NOUN
ejpam-6079	91	24	of	of	ADP
ejpam-6079	91	25	one	one	NUM
ejpam-6079	91	26	of	of	ADP
ejpam-6079	91	27	the	the	DET
ejpam-6079	91	28	row	row	NOUN
ejpam-6079	91	29	and	and	CCONJ
ejpam-6079	91	30	column	column	NOUN
ejpam-6079	91	31	variables	variable	NOUN
ejpam-6079	91	32	in	in	ADP
ejpam-6079	91	33	a	a	DET
ejpam-6079	91	34	square	square	ADJ
ejpam-6079	91	35	contingency	contingency	NOUN
ejpam-6079	91	36	table	table	NOUN
ejpam-6079	91	37	are	be	AUX
ejpam-6079	91	38	re	re	VERB
ejpam-6079	91	39	-	-	VERB
ejpam-6079	91	40	labelled	label	VERB
ejpam-6079	91	41	,	,	PUNCT
ejpam-6079	91	42	but	but	CCONJ
ejpam-6079	91	43	the	the	DET
ejpam-6079	91	44	structures	structure	NOUN
ejpam-6079	91	45	of	of	ADP
ejpam-6079	91	46	the	the	DET
ejpam-6079	91	47	as	as	ADP
ejpam-6079	91	48	and	and	CCONJ
ejpam-6079	91	49	s	s	PART
ejpam-6079	91	50	models	model	NOUN
ejpam-6079	91	51	are	be	AUX
ejpam-6079	91	52	completely	completely	ADV
ejpam-6079	91	53	different	different	ADJ
ejpam-6079	91	54	.	.	PUNCT
ejpam-6079	92	1	let	let	VERB
ejpam-6079	92	2	the	the	DET
ejpam-6079	92	3	row	row	NOUN
ejpam-6079	92	4	and	and	CCONJ
ejpam-6079	92	5	column	column	NOUN
ejpam-6079	92	6	variables	variable	NOUN
ejpam-6079	92	7	be	be	AUX
ejpam-6079	92	8	designated	designate	VERB
ejpam-6079	92	9	as	as	ADP
ejpam-6079	92	10	x	x	PROPN
ejpam-6079	92	11	and	and	CCONJ
ejpam-6079	92	12	y	y	PROPN
ejpam-6079	92	13	,	,	PUNCT
ejpam-6079	92	14	respectively	respectively	ADV
ejpam-6079	92	15	.	.	PUNCT
ejpam-6079	93	1	the	the	DET
ejpam-6079	93	2	cells	cell	NOUN
ejpam-6079	93	3	on	on	ADP
ejpam-6079	93	4	the	the	DET
ejpam-6079	93	5	main	main	ADJ
ejpam-6079	93	6	diagonal	diagonal	NOUN
ejpam-6079	93	7	of	of	ADP
ejpam-6079	93	8	the	the	DET
ejpam-6079	93	9	table	table	NOUN
ejpam-6079	93	10	imply	imply	VERB
ejpam-6079	93	11	that	that	SCONJ
ejpam-6079	93	12	the	the	DET
ejpam-6079	93	13	difference	difference	NOUN
ejpam-6079	93	14	between	between	ADP
ejpam-6079	93	15	x	x	PUNCT
ejpam-6079	93	16	and	and	CCONJ
ejpam-6079	93	17	y	y	PROPN
ejpam-6079	93	18	is	be	AUX
ejpam-6079	93	19	equal	equal	ADJ
ejpam-6079	93	20	to	to	ADP
ejpam-6079	93	21	zero	zero	NUM
ejpam-6079	93	22	,	,	PUNCT
ejpam-6079	93	23	which	which	PRON
ejpam-6079	93	24	is	be	AUX
ejpam-6079	93	25	the	the	DET
ejpam-6079	93	26	average	average	NOUN
ejpam-6079	93	27	of	of	ADP
ejpam-6079	93	28	x	x	SYM
ejpam-6079	93	29	−	−	PROPN
ejpam-6079	93	30	y	y	PROPN
ejpam-6079	93	31	.	.	PUNCT
ejpam-6079	94	1	similarly	similarly	ADV
ejpam-6079	94	2	,	,	PUNCT
ejpam-6079	94	3	the	the	DET
ejpam-6079	94	4	cells	cell	NOUN
ejpam-6079	94	5	on	on	ADP
ejpam-6079	94	6	the	the	DET
ejpam-6079	94	7	anti	anti	ADJ
ejpam-6079	94	8	-	-	ADJ
ejpam-6079	94	9	diagonal	diagonal	ADJ
ejpam-6079	94	10	of	of	ADP
ejpam-6079	94	11	the	the	DET
ejpam-6079	94	12	table	table	NOUN
ejpam-6079	94	13	imply	imply	VERB
ejpam-6079	94	14	that	that	SCONJ
ejpam-6079	94	15	the	the	DET
ejpam-6079	94	16	sum	sum	NOUN
ejpam-6079	94	17	of	of	ADP
ejpam-6079	94	18	x	x	PUNCT
ejpam-6079	94	19	and	and	CCONJ
ejpam-6079	94	20	y	y	PROPN
ejpam-6079	94	21	is	be	AUX
ejpam-6079	94	22	equal	equal	ADJ
ejpam-6079	94	23	to	to	ADP
ejpam-6079	94	24	r+1	r+1	PROPN
ejpam-6079	94	25	,	,	PUNCT
ejpam-6079	94	26	which	which	PRON
ejpam-6079	94	27	is	be	AUX
ejpam-6079	94	28	the	the	DET
ejpam-6079	94	29	average	average	NOUN
ejpam-6079	94	30	of	of	ADP
ejpam-6079	94	31	x	x	PROPN
ejpam-6079	94	32	+	+	NOUN
ejpam-6079	94	33	y	y	PROPN
ejpam-6079	94	34	.	.	PUNCT
ejpam-6079	95	1	in	in	ADP
ejpam-6079	95	2	particular	particular	ADJ
ejpam-6079	95	3	,	,	PUNCT
ejpam-6079	95	4	the	the	DET
ejpam-6079	95	5	s	s	X
ejpam-6079	95	6	model	model	NOUN
ejpam-6079	95	7	implies	imply	VERB
ejpam-6079	95	8	symmetry	symmetry	NOUN
ejpam-6079	95	9	with	with	ADP
ejpam-6079	95	10	respect	respect	NOUN
ejpam-6079	95	11	to	to	ADP
ejpam-6079	95	12	the	the	DET
ejpam-6079	95	13	difference	difference	NOUN
ejpam-6079	95	14	between	between	ADP
ejpam-6079	95	15	x	x	PROPN
ejpam-6079	95	16	and	and	CCONJ
ejpam-6079	95	17	y	y	PROPN
ejpam-6079	95	18	,	,	PUNCT
ejpam-6079	95	19	while	while	SCONJ
ejpam-6079	95	20	the	the	DET
ejpam-6079	95	21	as	as	SCONJ
ejpam-6079	95	22	model	model	NOUN
ejpam-6079	95	23	implies	imply	VERB
ejpam-6079	95	24	symmetry	symmetry	NOUN
ejpam-6079	95	25	with	with	ADP
ejpam-6079	95	26	respect	respect	NOUN
ejpam-6079	95	27	to	to	ADP
ejpam-6079	95	28	the	the	DET
ejpam-6079	95	29	sum	sum	NOUN
ejpam-6079	95	30	of	of	ADP
ejpam-6079	95	31	x	x	PROPN
ejpam-6079	95	32	and	and	CCONJ
ejpam-6079	95	33	y	y	PROPN
ejpam-6079	95	34	.	.	PUNCT
ejpam-6079	96	1	in	in	ADP
ejpam-6079	96	2	order	order	NOUN
ejpam-6079	96	3	to	to	PART
ejpam-6079	96	4	ascertain	ascertain	VERB
ejpam-6079	96	5	whether	whether	SCONJ
ejpam-6079	96	6	the	the	DET
ejpam-6079	96	7	cell	cell	NOUN
ejpam-6079	96	8	probabilities	probability	NOUN
ejpam-6079	96	9	are	be	AUX
ejpam-6079	96	10	asymmetric	asymmetric	ADJ
ejpam-6079	96	11	with	with	ADP
ejpam-6079	96	12	respect	respect	NOUN
ejpam-6079	96	13	to	to	ADP
ejpam-6079	96	14	the	the	DET
ejpam-6079	96	15	anti	anti	ADJ
ejpam-6079	96	16	-	-	ADJ
ejpam-6079	96	17	diagonal	diagonal	ADJ
ejpam-6079	96	18	,	,	PUNCT
ejpam-6079	96	19	tomizawa	tomizawa	PROPN
ejpam-6079	96	20	[	[	X
ejpam-6079	96	21	11	11	NUM
ejpam-6079	96	22	]	]	PUNCT
ejpam-6079	96	23	proposed	propose	VERB
ejpam-6079	96	24	the	the	DET
ejpam-6079	96	25	acs	acs	PROPN
ejpam-6079	96	26	model	model	NOUN
ejpam-6079	96	27	,	,	PUNCT
ejpam-6079	96	28	which	which	PRON
ejpam-6079	96	29	is	be	AUX
ejpam-6079	96	30	defined	define	VERB
ejpam-6079	96	31	by	by	ADP
ejpam-6079	96	32	the	the	DET
ejpam-6079	96	33	following	follow	VERB
ejpam-6079	96	34	equation	equation	NOUN
ejpam-6079	96	35	:	:	PUNCT
ejpam-6079	96	36	πij	πij	PROPN
ejpam-6079	96	37	=	=	SYM
ejpam-6079	96	38	δπj∗i∗	δπj∗i∗	PROPN
ejpam-6079	96	39	for	for	ADP
ejpam-6079	96	40	(	(	PUNCT
ejpam-6079	96	41	i	i	PROPN
ejpam-6079	96	42	,	,	PUNCT
ejpam-6079	96	43	j	j	PROPN
ejpam-6079	96	44	)	)	PUNCT
ejpam-6079	96	45	∈	∈	PROPN
ejpam-6079	96	46	e.	e.	PROPN
ejpam-6079	96	47	s.	s.	PROPN
ejpam-6079	96	48	ando	ando	PROPN
ejpam-6079	96	49	/	/	SYM
ejpam-6079	96	50	eur	eur	PROPN
ejpam-6079	96	51	.	.	PUNCT
ejpam-6079	97	1	j.	j.	PROPN
ejpam-6079	97	2	pure	pure	PROPN
ejpam-6079	97	3	appl	appl	PROPN
ejpam-6079	97	4	.	.	PROPN
ejpam-6079	97	5	math	math	PROPN
ejpam-6079	97	6	,	,	PUNCT
ejpam-6079	97	7	18	18	NUM
ejpam-6079	97	8	(	(	PUNCT
ejpam-6079	97	9	2	2	NUM
ejpam-6079	97	10	)	)	PUNCT
ejpam-6079	97	11	(	(	PUNCT
ejpam-6079	97	12	2025	2025	NUM
ejpam-6079	97	13	)	)	PUNCT
ejpam-6079	97	14	,	,	PUNCT
ejpam-6079	97	15	6079	6079	NUM
ejpam-6079	97	16	5	5	NUM
ejpam-6079	97	17	of	of	ADP
ejpam-6079	97	18	14	14	NUM
ejpam-6079	97	19	the	the	DET
ejpam-6079	97	20	acs	acs	PROPN
ejpam-6079	97	21	model	model	NOUN
ejpam-6079	97	22	is	be	AUX
ejpam-6079	97	23	a	a	DET
ejpam-6079	97	24	special	special	ADJ
ejpam-6079	97	25	case	case	NOUN
ejpam-6079	97	26	of	of	ADP
ejpam-6079	97	27	the	the	PRON
ejpam-6079	97	28	as	as	ADP
ejpam-6079	97	29	model	model	NOUN
ejpam-6079	97	30	because	because	SCONJ
ejpam-6079	97	31	the	the	DET
ejpam-6079	97	32	acs	acs	PROPN
ejpam-6079	97	33	model	model	NOUN
ejpam-6079	97	34	with	with	ADP
ejpam-6079	97	35	δ	δ	PROPN
ejpam-6079	97	36	=	=	SYM
ejpam-6079	97	37	1	1	NUM
ejpam-6079	97	38	is	be	AUX
ejpam-6079	97	39	identical	identical	ADJ
ejpam-6079	97	40	to	to	ADP
ejpam-6079	97	41	the	the	DET
ejpam-6079	97	42	as	as	ADP
ejpam-6079	97	43	model	model	NOUN
ejpam-6079	97	44	.	.	PUNCT
ejpam-6079	98	1	in	in	ADP
ejpam-6079	98	2	other	other	ADJ
ejpam-6079	98	3	words	word	NOUN
ejpam-6079	98	4	,	,	PUNCT
ejpam-6079	98	5	if	if	SCONJ
ejpam-6079	98	6	the	the	DET
ejpam-6079	98	7	as	as	ADP
ejpam-6079	98	8	model	model	NOUN
ejpam-6079	98	9	holds	hold	VERB
ejpam-6079	98	10	then	then	ADV
ejpam-6079	98	11	the	the	DET
ejpam-6079	98	12	acs	acs	PROPN
ejpam-6079	98	13	model	model	NOUN
ejpam-6079	98	14	always	always	ADV
ejpam-6079	98	15	holds	hold	VERB
ejpam-6079	98	16	,	,	PUNCT
ejpam-6079	98	17	although	although	SCONJ
ejpam-6079	98	18	the	the	DET
ejpam-6079	98	19	converse	converse	NOUN
ejpam-6079	98	20	is	be	AUX
ejpam-6079	98	21	not	not	PART
ejpam-6079	98	22	necessarily	necessarily	ADV
ejpam-6079	98	23	true	true	ADJ
ejpam-6079	98	24	.	.	PUNCT
ejpam-6079	99	1	let	let	AUX
ejpam-6079	99	2	denote	denote	VERB
ejpam-6079	99	3	fij	fij	PROPN
ejpam-6079	99	4	for	for	ADP
ejpam-6079	99	5	(	(	PUNCT
ejpam-6079	99	6	i	i	PROPN
ejpam-6079	99	7	,	,	PUNCT
ejpam-6079	99	8	j	j	PROPN
ejpam-6079	99	9	)	)	PUNCT
ejpam-6079	99	10	∈	∈	PROPN
ejpam-6079	99	11	a	a	PRON
ejpam-6079	99	12	as	as	ADP
ejpam-6079	99	13	the	the	DET
ejpam-6079	99	14	observed	observed	ADJ
ejpam-6079	99	15	frequency	frequency	NOUN
ejpam-6079	99	16	in	in	ADP
ejpam-6079	99	17	(	(	PUNCT
ejpam-6079	99	18	i	i	NOUN
ejpam-6079	99	19	,	,	PUNCT
ejpam-6079	99	20	j)th	j)th	ADJ
ejpam-6079	99	21	cell	cell	NOUN
ejpam-6079	99	22	of	of	ADP
ejpam-6079	99	23	the	the	DET
ejpam-6079	99	24	table	table	NOUN
ejpam-6079	99	25	.	.	PUNCT
ejpam-6079	100	1	table	table	NOUN
ejpam-6079	100	2	2	2	NUM
ejpam-6079	100	3	illustrates	illustrate	VERB
ejpam-6079	100	4	the	the	DET
ejpam-6079	100	5	ratio	ratio	NOUN
ejpam-6079	100	6	of	of	ADP
ejpam-6079	100	7	fij	fij	PROPN
ejpam-6079	100	8	to	to	ADP
ejpam-6079	100	9	fj∗i∗	fj∗i∗	PROPN
ejpam-6079	100	10	,	,	PUNCT
ejpam-6079	100	11	which	which	PRON
ejpam-6079	100	12	is	be	AUX
ejpam-6079	100	13	calculated	calculate	VERB
ejpam-6079	100	14	for	for	ADP
ejpam-6079	100	15	each	each	DET
ejpam-6079	100	16	pair	pair	NOUN
ejpam-6079	100	17	(	(	PUNCT
ejpam-6079	100	18	i	i	PROPN
ejpam-6079	100	19	,	,	PUNCT
ejpam-6079	100	20	j	j	PROPN
ejpam-6079	100	21	)	)	PUNCT
ejpam-6079	100	22	∈	∈	PROPN
ejpam-6079	100	23	e	e	NOUN
ejpam-6079	100	24	,	,	PUNCT
ejpam-6079	100	25	for	for	ADP
ejpam-6079	100	26	the	the	DET
ejpam-6079	100	27	dataset	dataset	NOUN
ejpam-6079	100	28	in	in	ADP
ejpam-6079	100	29	table	table	NOUN
ejpam-6079	100	30	1	1	NUM
ejpam-6079	100	31	.	.	PUNCT
ejpam-6079	101	1	in	in	ADP
ejpam-6079	101	2	the	the	DET
ejpam-6079	101	3	case	case	NOUN
ejpam-6079	101	4	of	of	ADP
ejpam-6079	101	5	a	a	DET
ejpam-6079	101	6	dataset	dataset	NOUN
ejpam-6079	101	7	for	for	ADP
ejpam-6079	101	8	which	which	PRON
ejpam-6079	101	9	the	the	DET
ejpam-6079	101	10	ratios	ratio	NOUN
ejpam-6079	101	11	of	of	ADP
ejpam-6079	101	12	fij	fij	PROPN
ejpam-6079	101	13	to	to	ADP
ejpam-6079	101	14	fj∗i∗	fj∗i∗	PROPN
ejpam-6079	101	15	are	be	AUX
ejpam-6079	101	16	constant	constant	ADJ
ejpam-6079	101	17	,	,	PUNCT
ejpam-6079	101	18	the	the	DET
ejpam-6079	101	19	acs	acs	PROPN
ejpam-6079	101	20	model	model	NOUN
ejpam-6079	101	21	fits	fit	VERB
ejpam-6079	101	22	well	well	ADV
ejpam-6079	101	23	.	.	PUNCT
ejpam-6079	102	1	since	since	SCONJ
ejpam-6079	102	2	the	the	DET
ejpam-6079	102	3	ratios	ratio	NOUN
ejpam-6079	102	4	of	of	ADP
ejpam-6079	102	5	fij	fij	PROPN
ejpam-6079	102	6	to	to	ADP
ejpam-6079	102	7	fj∗i∗	fj∗i∗	PROPN
ejpam-6079	102	8	are	be	AUX
ejpam-6079	102	9	not	not	PART
ejpam-6079	102	10	constant	constant	ADJ
ejpam-6079	102	11	in	in	ADP
ejpam-6079	102	12	this	this	DET
ejpam-6079	102	13	dataset	dataset	NOUN
ejpam-6079	102	14	,	,	PUNCT
ejpam-6079	102	15	the	the	DET
ejpam-6079	102	16	acs	acs	PROPN
ejpam-6079	102	17	model	model	NOUN
ejpam-6079	102	18	may	may	AUX
ejpam-6079	102	19	not	not	PART
ejpam-6079	102	20	be	be	AUX
ejpam-6079	102	21	fit	fit	ADJ
ejpam-6079	102	22	the	the	DET
ejpam-6079	102	23	dataset	dataset	NOUN
ejpam-6079	102	24	in	in	ADP
ejpam-6079	102	25	table	table	NOUN
ejpam-6079	102	26	1	1	NUM
ejpam-6079	102	27	well	well	ADV
ejpam-6079	102	28	.	.	PUNCT
ejpam-6079	103	1	therefore	therefore	ADV
ejpam-6079	103	2	,	,	PUNCT
ejpam-6079	103	3	a	a	DET
ejpam-6079	103	4	model	model	NOUN
ejpam-6079	103	5	that	that	PRON
ejpam-6079	103	6	can	can	AUX
ejpam-6079	103	7	express	express	VERB
ejpam-6079	103	8	more	more	ADJ
ejpam-6079	103	9	complex	complex	ADJ
ejpam-6079	103	10	asymmetric	asymmetric	ADJ
ejpam-6079	103	11	structures	structure	NOUN
ejpam-6079	103	12	than	than	SCONJ
ejpam-6079	103	13	the	the	DET
ejpam-6079	103	14	acs	acs	PROPN
ejpam-6079	103	15	model	model	NOUN
ejpam-6079	103	16	is	be	AUX
ejpam-6079	103	17	required	require	VERB
ejpam-6079	103	18	.	.	PUNCT
ejpam-6079	104	1	table	table	NOUN
ejpam-6079	104	2	2	2	NUM
ejpam-6079	104	3	:	:	PUNCT
ejpam-6079	104	4	the	the	DET
ejpam-6079	104	5	ratio	ratio	NOUN
ejpam-6079	104	6	of	of	ADP
ejpam-6079	104	7	fij	fij	PROPN
ejpam-6079	104	8	to	to	ADP
ejpam-6079	104	9	fj∗i∗	fj∗i∗	PROPN
ejpam-6079	104	10	is	be	AUX
ejpam-6079	104	11	calculated	calculate	VERB
ejpam-6079	104	12	for	for	ADP
ejpam-6079	104	13	each	each	DET
ejpam-6079	104	14	pair	pair	NOUN
ejpam-6079	104	15	(	(	PUNCT
ejpam-6079	104	16	i	i	PROPN
ejpam-6079	104	17	,	,	PUNCT
ejpam-6079	104	18	j	j	PROPN
ejpam-6079	104	19	)	)	PUNCT
ejpam-6079	104	20	∈	∈	PROPN
ejpam-6079	104	21	e	e	NOUN
ejpam-6079	104	22	left	leave	VERB
ejpam-6079	104	23	hand	hand	NOUN
ejpam-6079	104	24	right	right	ADJ
ejpam-6079	104	25	hand	hand	NOUN
ejpam-6079	104	26	(	(	PUNCT
ejpam-6079	104	27	1	1	NUM
ejpam-6079	104	28	)	)	PUNCT
ejpam-6079	104	29	(	(	PUNCT
ejpam-6079	104	30	2	2	NUM
ejpam-6079	104	31	)	)	PUNCT
ejpam-6079	104	32	(	(	PUNCT
ejpam-6079	104	33	3	3	X
ejpam-6079	104	34	)	)	PUNCT
ejpam-6079	104	35	(	(	PUNCT
ejpam-6079	104	36	4	4	NUM
ejpam-6079	104	37	)	)	PUNCT
ejpam-6079	104	38	(	(	PUNCT
ejpam-6079	104	39	5	5	X
ejpam-6079	104	40	)	)	PUNCT
ejpam-6079	104	41	highest	high	ADJ
ejpam-6079	104	42	(	(	PUNCT
ejpam-6079	104	43	1	1	NUM
ejpam-6079	104	44	)	)	PUNCT
ejpam-6079	104	45	0.434	0.434	NUM
ejpam-6079	104	46	0.590	0.590	NUM
ejpam-6079	104	47	0.902	0.902	NUM
ejpam-6079	104	48	0.875	0.875	NUM
ejpam-6079	104	49	–	–	PUNCT
ejpam-6079	104	50	(	(	PUNCT
ejpam-6079	104	51	2	2	NUM
ejpam-6079	104	52	)	)	PUNCT
ejpam-6079	104	53	0.607	0.607	NUM
ejpam-6079	104	54	0.633	0.633	NUM
ejpam-6079	104	55	0.994	0.994	NUM
ejpam-6079	104	56	–	–	PUNCT
ejpam-6079	104	57	–	–	PUNCT
ejpam-6079	104	58	(	(	PUNCT
ejpam-6079	104	59	3	3	X
ejpam-6079	104	60	)	)	PUNCT
ejpam-6079	104	61	0.438	0.438	NUM
ejpam-6079	104	62	0.726	0.726	NUM
ejpam-6079	104	63	–	–	PUNCT
ejpam-6079	104	64	–	–	PUNCT
ejpam-6079	104	65	–	–	PUNCT
ejpam-6079	104	66	(	(	PUNCT
ejpam-6079	104	67	4	4	X
ejpam-6079	104	68	)	)	PUNCT
ejpam-6079	104	69	1.000	1.000	NUM
ejpam-6079	104	70	–	–	PUNCT
ejpam-6079	104	71	–	–	PUNCT
ejpam-6079	104	72	–	–	PUNCT
ejpam-6079	104	73	–	–	PUNCT
ejpam-6079	104	74	lowest	low	ADJ
ejpam-6079	104	75	(	(	PUNCT
ejpam-6079	104	76	5	5	NUM
ejpam-6079	104	77	)	)	PUNCT
ejpam-6079	104	78	–	–	PUNCT
ejpam-6079	104	79	–	–	PUNCT
ejpam-6079	104	80	–	–	PUNCT
ejpam-6079	104	81	–	–	PUNCT
ejpam-6079	104	82	–	–	PUNCT
ejpam-6079	104	83	in	in	ADP
ejpam-6079	104	84	line	line	NOUN
ejpam-6079	104	85	with	with	ADP
ejpam-6079	104	86	the	the	DET
ejpam-6079	104	87	relationship	relationship	NOUN
ejpam-6079	104	88	between	between	ADP
ejpam-6079	104	89	the	the	DET
ejpam-6079	104	90	cs	cs	PROPN
ejpam-6079	104	91	and	and	CCONJ
ejpam-6079	104	92	dps	dps	NOUN
ejpam-6079	104	93	model	model	NOUN
ejpam-6079	104	94	,	,	PUNCT
ejpam-6079	104	95	in	in	ADP
ejpam-6079	104	96	order	order	NOUN
ejpam-6079	104	97	to	to	PART
ejpam-6079	104	98	express	express	VERB
ejpam-6079	104	99	an	an	DET
ejpam-6079	104	100	asymmetric	asymmetric	ADJ
ejpam-6079	104	101	structure	structure	NOUN
ejpam-6079	104	102	that	that	PRON
ejpam-6079	104	103	is	be	AUX
ejpam-6079	104	104	more	more	ADV
ejpam-6079	104	105	complex	complex	ADJ
ejpam-6079	104	106	than	than	ADP
ejpam-6079	104	107	that	that	PRON
ejpam-6079	104	108	of	of	ADP
ejpam-6079	104	109	the	the	DET
ejpam-6079	104	110	acs	acs	PROPN
ejpam-6079	104	111	model	model	NOUN
ejpam-6079	104	112	(	(	PUNCT
ejpam-6079	104	113	i.e.	i.e.	X
ejpam-6079	104	114	,	,	PUNCT
ejpam-6079	104	115	an	an	DET
ejpam-6079	104	116	asymmetric	asymmetric	ADJ
ejpam-6079	104	117	structure	structure	NOUN
ejpam-6079	104	118	where	where	SCONJ
ejpam-6079	104	119	the	the	DET
ejpam-6079	104	120	ratios	ratio	NOUN
ejpam-6079	104	121	of	of	ADP
ejpam-6079	104	122	πij	πij	PROPN
ejpam-6079	104	123	to	to	PART
ejpam-6079	104	124	πj∗i∗	πj∗i∗	VERB
ejpam-6079	104	125	for	for	ADP
ejpam-6079	104	126	(	(	PUNCT
ejpam-6079	104	127	i	i	PROPN
ejpam-6079	104	128	,	,	PUNCT
ejpam-6079	104	129	j	j	PROPN
ejpam-6079	104	130	)	)	PUNCT
ejpam-6079	104	131	∈	∈	PROPN
ejpam-6079	104	132	e	e	NOUN
ejpam-6079	104	133	are	be	AUX
ejpam-6079	104	134	not	not	PART
ejpam-6079	104	135	constant	constant	ADJ
ejpam-6079	104	136	)	)	PUNCT
ejpam-6079	104	137	,	,	PUNCT
ejpam-6079	104	138	we	we	PRON
ejpam-6079	104	139	propose	propose	VERB
ejpam-6079	104	140	the	the	DET
ejpam-6079	104	141	adps	adps	NOUN
ejpam-6079	104	142	model	model	NOUN
ejpam-6079	104	143	that	that	PRON
ejpam-6079	104	144	is	be	AUX
ejpam-6079	104	145	defined	define	VERB
ejpam-6079	104	146	by	by	ADP
ejpam-6079	104	147	πij	πij	PROPN
ejpam-6079	104	148	=	=	PROPN
ejpam-6079	104	149	δr+1−(i+j)πj∗i∗	δr+1−(i+j)πj∗i∗	PROPN
ejpam-6079	104	150	for	for	ADP
ejpam-6079	104	151	(	(	PUNCT
ejpam-6079	104	152	i	i	PROPN
ejpam-6079	104	153	,	,	PUNCT
ejpam-6079	104	154	j	j	PROPN
ejpam-6079	104	155	)	)	PUNCT
ejpam-6079	104	156	∈	∈	PROPN
ejpam-6079	104	157	e.	e.	PROPN
ejpam-6079	105	1	the	the	DET
ejpam-6079	105	2	adps	adps	PROPN
ejpam-6079	105	3	model	model	NOUN
ejpam-6079	105	4	represents	represent	VERB
ejpam-6079	105	5	that	that	SCONJ
ejpam-6079	105	6	the	the	DET
ejpam-6079	105	7	degree	degree	NOUN
ejpam-6079	105	8	of	of	ADP
ejpam-6079	105	9	asymmetry	asymmetry	NOUN
ejpam-6079	105	10	varies	vary	VERB
ejpam-6079	105	11	depending	depend	VERB
ejpam-6079	105	12	on	on	ADP
ejpam-6079	105	13	the	the	DET
ejpam-6079	105	14	distance	distance	NOUN
ejpam-6079	105	15	(	(	PUNCT
ejpam-6079	105	16	i.e.	i.e.	X
ejpam-6079	105	17	,	,	PUNCT
ejpam-6079	105	18	r+	r+	NOUN
ejpam-6079	105	19	1−	1−	NUM
ejpam-6079	105	20	(	(	PUNCT
ejpam-6079	105	21	i+	i+	X
ejpam-6079	105	22	j	j	NOUN
ejpam-6079	105	23	)	)	PUNCT
ejpam-6079	105	24	)	)	PUNCT
ejpam-6079	105	25	from	from	ADP
ejpam-6079	105	26	the	the	DET
ejpam-6079	105	27	anti	anti	ADJ
ejpam-6079	105	28	-	-	ADJ
ejpam-6079	105	29	diagonal	diagonal	ADJ
ejpam-6079	105	30	.	.	PUNCT
ejpam-6079	106	1	the	the	DET
ejpam-6079	106	2	adps	adps	PROPN
ejpam-6079	106	3	model	model	NOUN
ejpam-6079	106	4	can	can	AUX
ejpam-6079	106	5	exhibit	exhibit	VERB
ejpam-6079	106	6	greater	great	ADJ
ejpam-6079	106	7	versatility	versatility	NOUN
ejpam-6079	106	8	than	than	ADP
ejpam-6079	106	9	the	the	DET
ejpam-6079	106	10	acs	acs	PROPN
ejpam-6079	106	11	model	model	NOUN
ejpam-6079	106	12	with	with	ADP
ejpam-6079	106	13	regard	regard	NOUN
ejpam-6079	106	14	to	to	ADP
ejpam-6079	106	15	the	the	DET
ejpam-6079	106	16	representation	representation	NOUN
ejpam-6079	106	17	of	of	ADP
ejpam-6079	106	18	express	express	ADJ
ejpam-6079	106	19	complex	complex	ADJ
ejpam-6079	106	20	asymmetric	asymmetric	ADJ
ejpam-6079	106	21	structures	structure	NOUN
ejpam-6079	106	22	.	.	PUNCT
ejpam-6079	107	1	as	as	ADP
ejpam-6079	107	2	special	special	ADJ
ejpam-6079	107	3	cases	case	NOUN
ejpam-6079	107	4	of	of	ADP
ejpam-6079	107	5	the	the	DET
ejpam-6079	107	6	adps	adps	PROPN
ejpam-6079	107	7	model	model	NOUN
ejpam-6079	107	8	,	,	PUNCT
ejpam-6079	107	9	the	the	DET
ejpam-6079	107	10	adps	adps	NOUN
ejpam-6079	107	11	model	model	NOUN
ejpam-6079	107	12	with	with	ADP
ejpam-6079	107	13	δr+1−(i+j	δr+1−(i+j	PUNCT
ejpam-6079	107	14	)	)	PUNCT
ejpam-6079	107	15	=	=	SYM
ejpam-6079	107	16	δ	δ	PROPN
ejpam-6079	107	17	for	for	ADP
ejpam-6079	107	18	(	(	PUNCT
ejpam-6079	107	19	i	i	PROPN
ejpam-6079	107	20	,	,	PUNCT
ejpam-6079	107	21	j	j	PROPN
ejpam-6079	107	22	)	)	PUNCT
ejpam-6079	107	23	∈	∈	PROPN
ejpam-6079	107	24	e	e	NOUN
ejpam-6079	107	25	is	be	AUX
ejpam-6079	107	26	identical	identical	ADJ
ejpam-6079	107	27	to	to	ADP
ejpam-6079	107	28	the	the	DET
ejpam-6079	107	29	acs	acs	PROPN
ejpam-6079	107	30	model	model	NOUN
ejpam-6079	107	31	,	,	PUNCT
ejpam-6079	107	32	and	and	CCONJ
ejpam-6079	107	33	the	the	DET
ejpam-6079	107	34	adps	adps	NOUN
ejpam-6079	107	35	model	model	NOUN
ejpam-6079	107	36	with	with	ADP
ejpam-6079	107	37	δr+1−(i+j	δr+1−(i+j	X
ejpam-6079	107	38	)	)	PUNCT
ejpam-6079	107	39	=	=	SYM
ejpam-6079	107	40	1	1	NUM
ejpam-6079	107	41	for	for	ADP
ejpam-6079	107	42	(	(	PUNCT
ejpam-6079	107	43	i	i	PROPN
ejpam-6079	107	44	,	,	PUNCT
ejpam-6079	107	45	j	j	PROPN
ejpam-6079	107	46	)	)	PUNCT
ejpam-6079	107	47	∈	∈	PROPN
ejpam-6079	107	48	e	e	NOUN
ejpam-6079	107	49	is	be	AUX
ejpam-6079	107	50	identical	identical	ADJ
ejpam-6079	107	51	to	to	ADP
ejpam-6079	107	52	the	the	DET
ejpam-6079	107	53	as	as	ADP
ejpam-6079	107	54	model	model	NOUN
ejpam-6079	107	55	.	.	PUNCT
ejpam-6079	108	1	consequently	consequently	ADV
ejpam-6079	108	2	,	,	PUNCT
ejpam-6079	108	3	when	when	SCONJ
ejpam-6079	108	4	the	the	DET
ejpam-6079	108	5	as	as	ADP
ejpam-6079	108	6	model	model	NOUN
ejpam-6079	108	7	holds	hold	VERB
ejpam-6079	108	8	,	,	PUNCT
ejpam-6079	108	9	the	the	DET
ejpam-6079	108	10	adps	adps	NOUN
ejpam-6079	108	11	model	model	NOUN
ejpam-6079	108	12	always	always	ADV
ejpam-6079	108	13	holds	hold	VERB
ejpam-6079	108	14	,	,	PUNCT
ejpam-6079	108	15	although	although	SCONJ
ejpam-6079	108	16	the	the	DET
ejpam-6079	108	17	inverse	inverse	NOUN
ejpam-6079	108	18	is	be	AUX
ejpam-6079	108	19	not	not	PART
ejpam-6079	108	20	necessarily	necessarily	ADV
ejpam-6079	108	21	true	true	ADJ
ejpam-6079	108	22	.	.	PUNCT
ejpam-6079	109	1	similarly	similarly	ADV
ejpam-6079	109	2	,	,	PUNCT
ejpam-6079	109	3	when	when	SCONJ
ejpam-6079	109	4	the	the	DET
ejpam-6079	109	5	acs	acs	PROPN
ejpam-6079	109	6	model	model	NOUN
ejpam-6079	109	7	holds	hold	VERB
ejpam-6079	109	8	,	,	PUNCT
ejpam-6079	109	9	the	the	DET
ejpam-6079	109	10	adps	adps	NOUN
ejpam-6079	109	11	model	model	NOUN
ejpam-6079	109	12	also	also	ADV
ejpam-6079	109	13	holds	hold	VERB
ejpam-6079	109	14	,	,	PUNCT
ejpam-6079	109	15	although	although	SCONJ
ejpam-6079	109	16	the	the	DET
ejpam-6079	109	17	converse	converse	NOUN
ejpam-6079	109	18	is	be	AUX
ejpam-6079	109	19	not	not	PART
ejpam-6079	109	20	necessarily	necessarily	ADV
ejpam-6079	109	21	true	true	ADJ
ejpam-6079	109	22	.	.	PUNCT
ejpam-6079	110	1	in	in	ADP
ejpam-6079	110	2	section	section	NOUN
ejpam-6079	110	3	3	3	NUM
ejpam-6079	110	4	,	,	PUNCT
ejpam-6079	110	5	we	we	PRON
ejpam-6079	110	6	will	will	AUX
ejpam-6079	110	7	find	find	VERB
ejpam-6079	110	8	out	out	ADP
ejpam-6079	110	9	a	a	DET
ejpam-6079	110	10	counterpart	counterpart	ADJ
ejpam-6079	110	11	model	model	NOUN
ejpam-6079	110	12	of	of	ADP
ejpam-6079	110	13	the	the	DET
ejpam-6079	110	14	acs	acs	PROPN
ejpam-6079	110	15	model	model	NOUN
ejpam-6079	110	16	for	for	ADP
ejpam-6079	110	17	the	the	DET
ejpam-6079	110	18	separation	separation	NOUN
ejpam-6079	110	19	of	of	ADP
ejpam-6079	110	20	the	the	DET
ejpam-6079	110	21	as	as	ADP
ejpam-6079	110	22	model	model	NOUN
ejpam-6079	110	23	,	,	PUNCT
ejpam-6079	110	24	as	as	ADV
ejpam-6079	110	25	well	well	ADV
ejpam-6079	110	26	as	as	ADP
ejpam-6079	110	27	a	a	DET
ejpam-6079	110	28	counterpart	counterpart	ADJ
ejpam-6079	110	29	model	model	NOUN
ejpam-6079	110	30	of	of	ADP
ejpam-6079	110	31	the	the	DET
ejpam-6079	110	32	adps	adps	NOUN
ejpam-6079	110	33	model	model	NOUN
ejpam-6079	110	34	for	for	ADP
ejpam-6079	110	35	the	the	DET
ejpam-6079	110	36	separation	separation	NOUN
ejpam-6079	110	37	of	of	ADP
ejpam-6079	110	38	the	the	DET
ejpam-6079	110	39	as	as	ADP
ejpam-6079	110	40	model	model	NOUN
ejpam-6079	110	41	.	.	PUNCT
ejpam-6079	111	1	3	3	X
ejpam-6079	111	2	.	.	X
ejpam-6079	111	3	separation	separation	NOUN
ejpam-6079	111	4	of	of	ADP
ejpam-6079	111	5	the	the	PRON
ejpam-6079	111	6	as	as	ADP
ejpam-6079	111	7	model	model	NOUN
ejpam-6079	111	8	this	this	DET
ejpam-6079	111	9	section	section	NOUN
ejpam-6079	111	10	will	will	AUX
ejpam-6079	111	11	examine	examine	VERB
ejpam-6079	111	12	the	the	DET
ejpam-6079	111	13	separation	separation	NOUN
ejpam-6079	111	14	of	of	ADP
ejpam-6079	111	15	the	the	PRON
ejpam-6079	111	16	as	as	ADP
ejpam-6079	111	17	model	model	NOUN
ejpam-6079	111	18	via	via	ADP
ejpam-6079	111	19	the	the	DET
ejpam-6079	111	20	acs	acs	PROPN
ejpam-6079	111	21	model	model	NOUN
ejpam-6079	111	22	(	(	PUNCT
ejpam-6079	111	23	or	or	CCONJ
ejpam-6079	111	24	the	the	DET
ejpam-6079	111	25	adps	adps	NOUN
ejpam-6079	111	26	model	model	NOUN
ejpam-6079	111	27	)	)	PUNCT
ejpam-6079	111	28	.	.	PUNCT
ejpam-6079	112	1	the	the	DET
ejpam-6079	112	2	anti	anti	ADJ
ejpam-6079	112	3	-	-	ADJ
ejpam-6079	112	4	gs	gs	ADJ
ejpam-6079	112	5	(	(	PUNCT
ejpam-6079	112	6	ags	ag	NOUN
ejpam-6079	112	7	)	)	PUNCT
ejpam-6079	112	8	model	model	NOUN
ejpam-6079	112	9	represents	represent	VERB
ejpam-6079	112	10	the	the	DET
ejpam-6079	112	11	counterpart	counterpart	ADJ
ejpam-6079	112	12	model	model	NOUN
ejpam-6079	112	13	of	of	ADP
ejpam-6079	112	14	the	the	DET
ejpam-6079	112	15	acs	acs	PROPN
ejpam-6079	112	16	model	model	NOUN
ejpam-6079	112	17	for	for	ADP
ejpam-6079	112	18	the	the	DET
ejpam-6079	112	19	separation	separation	NOUN
ejpam-6079	112	20	of	of	ADP
ejpam-6079	112	21	the	the	DET
ejpam-6079	112	22	as	as	ADP
ejpam-6079	112	23	model	model	NOUN
ejpam-6079	112	24	.	.	PUNCT
ejpam-6079	113	1	for	for	ADP
ejpam-6079	113	2	further	further	ADJ
ejpam-6079	113	3	information	information	NOUN
ejpam-6079	113	4	regarding	regard	VERB
ejpam-6079	113	5	the	the	DET
ejpam-6079	113	6	ags	ag	NOUN
ejpam-6079	113	7	s.	s.	PROPN
ejpam-6079	113	8	ando	ando	PROPN
ejpam-6079	113	9	/	/	SYM
ejpam-6079	113	10	eur	eur	PROPN
ejpam-6079	113	11	.	.	PUNCT
ejpam-6079	114	1	j.	j.	PROPN
ejpam-6079	114	2	pure	pure	PROPN
ejpam-6079	114	3	appl	appl	PROPN
ejpam-6079	114	4	.	.	PROPN
ejpam-6079	114	5	math	math	PROPN
ejpam-6079	114	6	,	,	PUNCT
ejpam-6079	114	7	18	18	NUM
ejpam-6079	114	8	(	(	PUNCT
ejpam-6079	114	9	2	2	NUM
ejpam-6079	114	10	)	)	PUNCT
ejpam-6079	114	11	(	(	PUNCT
ejpam-6079	114	12	2025	2025	NUM
ejpam-6079	114	13	)	)	PUNCT
ejpam-6079	114	14	,	,	PUNCT
ejpam-6079	114	15	6079	6079	NUM
ejpam-6079	114	16	6	6	NUM
ejpam-6079	114	17	of	of	ADP
ejpam-6079	114	18	14	14	NUM
ejpam-6079	114	19	model	model	NOUN
ejpam-6079	114	20	,	,	PUNCT
ejpam-6079	114	21	please	please	INTJ
ejpam-6079	114	22	refer	refer	VERB
ejpam-6079	114	23	to	to	ADP
ejpam-6079	114	24	the	the	DET
ejpam-6079	114	25	following	follow	VERB
ejpam-6079	114	26	sources	source	NOUN
ejpam-6079	114	27	:	:	PUNCT
ejpam-6079	114	28	[	[	X
ejpam-6079	114	29	8	8	NUM
ejpam-6079	114	30	,	,	PUNCT
ejpam-6079	114	31	14–16	14–16	NUM
ejpam-6079	114	32	]	]	PUNCT
ejpam-6079	114	33	.	.	PUNCT
ejpam-6079	115	1	the	the	DET
ejpam-6079	115	2	ags	ag	NOUN
ejpam-6079	115	3	model	model	NOUN
ejpam-6079	115	4	is	be	AUX
ejpam-6079	115	5	defined	define	VERB
ejpam-6079	115	6	by	by	ADP
ejpam-6079	115	7	the	the	DET
ejpam-6079	115	8	following	follow	VERB
ejpam-6079	115	9	equation	equation	NOUN
ejpam-6079	115	10	:	:	PUNCT
ejpam-6079	115	11	∑∑	∑∑	PROPN
ejpam-6079	115	12	(	(	PUNCT
ejpam-6079	115	13	i	i	PROPN
ejpam-6079	115	14	,	,	PUNCT
ejpam-6079	115	15	j)∈e	j)∈e	X
ejpam-6079	115	16	πij	πij	PROPN
ejpam-6079	115	17	=	=	PUNCT
ejpam-6079	115	18	∑∑	∑∑	PROPN
ejpam-6079	115	19	(	(	PUNCT
ejpam-6079	115	20	i	i	PROPN
ejpam-6079	115	21	,	,	PUNCT
ejpam-6079	115	22	j)∈e	j)∈e	PROPN
ejpam-6079	115	23	πj∗i∗	πj∗i∗	NUM
ejpam-6079	115	24	.	.	PUNCT
ejpam-6079	116	1	the	the	DET
ejpam-6079	116	2	ags	ag	NOUN
ejpam-6079	116	3	model	model	NOUN
ejpam-6079	116	4	represents	represent	VERB
ejpam-6079	116	5	a	a	DET
ejpam-6079	116	6	structure	structure	NOUN
ejpam-6079	116	7	of	of	ADP
ejpam-6079	116	8	symmetry	symmetry	NOUN
ejpam-6079	116	9	in	in	ADP
ejpam-6079	116	10	which	which	PRON
ejpam-6079	116	11	the	the	DET
ejpam-6079	116	12	probability	probability	NOUN
ejpam-6079	116	13	of	of	ADP
ejpam-6079	116	14	an	an	DET
ejpam-6079	116	15	observation	observation	NOUN
ejpam-6079	116	16	occurring	occur	VERB
ejpam-6079	116	17	in	in	ADP
ejpam-6079	116	18	the	the	DET
ejpam-6079	116	19	upper	upper	ADJ
ejpam-6079	116	20	left	leave	VERB
ejpam-6079	116	21	off	off	ADP
ejpam-6079	116	22	-	-	PUNCT
ejpam-6079	116	23	anti	anti	ADJ
ejpam-6079	116	24	-	-	ADJ
ejpam-6079	116	25	diagonal	diagonal	ADJ
ejpam-6079	116	26	cells	cell	NOUN
ejpam-6079	116	27	of	of	ADP
ejpam-6079	116	28	the	the	DET
ejpam-6079	116	29	table	table	NOUN
ejpam-6079	116	30	is	be	AUX
ejpam-6079	116	31	equal	equal	ADJ
ejpam-6079	116	32	to	to	ADP
ejpam-6079	116	33	the	the	DET
ejpam-6079	116	34	probability	probability	NOUN
ejpam-6079	116	35	of	of	ADP
ejpam-6079	116	36	an	an	DET
ejpam-6079	116	37	observation	observation	NOUN
ejpam-6079	116	38	occurring	occur	VERB
ejpam-6079	116	39	in	in	ADP
ejpam-6079	116	40	the	the	DET
ejpam-6079	116	41	lower	low	ADJ
ejpam-6079	116	42	right	right	ADJ
ejpam-6079	116	43	off	off	ADP
ejpam-6079	116	44	-	-	PUNCT
ejpam-6079	116	45	anti	anti	ADJ
ejpam-6079	116	46	-	-	ADJ
ejpam-6079	116	47	diagonal	diagonal	ADJ
ejpam-6079	116	48	cells	cell	NOUN
ejpam-6079	116	49	.	.	PUNCT
ejpam-6079	117	1	the	the	DET
ejpam-6079	117	2	separation	separation	NOUN
ejpam-6079	117	3	of	of	ADP
ejpam-6079	117	4	the	the	PRON
ejpam-6079	117	5	as	as	ADP
ejpam-6079	117	6	model	model	NOUN
ejpam-6079	117	7	is	be	AUX
ejpam-6079	117	8	obtained	obtain	VERB
ejpam-6079	117	9	via	via	ADP
ejpam-6079	117	10	the	the	DET
ejpam-6079	117	11	acs	acs	PROPN
ejpam-6079	117	12	and	and	CCONJ
ejpam-6079	117	13	ags	ag	NOUN
ejpam-6079	117	14	models	model	NOUN
ejpam-6079	117	15	in	in	ADP
ejpam-6079	117	16	accordance	accordance	NOUN
ejpam-6079	117	17	with	with	ADP
ejpam-6079	117	18	the	the	DET
ejpam-6079	117	19	following	follow	VERB
ejpam-6079	117	20	theorem	theorem	NOUN
ejpam-6079	117	21	.	.	PUNCT
ejpam-6079	118	1	theorem	theorem	NOUN
ejpam-6079	118	2	1	1	NUM
ejpam-6079	118	3	.	.	PUNCT
ejpam-6079	119	1	the	the	DET
ejpam-6079	119	2	as	as	SCONJ
ejpam-6079	119	3	model	model	NOUN
ejpam-6079	119	4	holds	hold	VERB
ejpam-6079	119	5	if	if	SCONJ
ejpam-6079	119	6	and	and	CCONJ
ejpam-6079	119	7	only	only	ADV
ejpam-6079	119	8	if	if	SCONJ
ejpam-6079	119	9	both	both	CCONJ
ejpam-6079	119	10	the	the	DET
ejpam-6079	119	11	acs	ac	NOUN
ejpam-6079	119	12	and	and	CCONJ
ejpam-6079	119	13	ags	ag	NOUN
ejpam-6079	119	14	models	model	NOUN
ejpam-6079	119	15	concurrently	concurrently	ADV
ejpam-6079	119	16	hold	hold	VERB
ejpam-6079	119	17	.	.	PUNCT
ejpam-6079	120	1	proof	proof	NOUN
ejpam-6079	120	2	.	.	PUNCT
ejpam-6079	121	1	the	the	DET
ejpam-6079	121	2	initial	initial	ADJ
ejpam-6079	121	3	step	step	NOUN
ejpam-6079	121	4	is	be	AUX
ejpam-6079	121	5	to	to	PART
ejpam-6079	121	6	address	address	VERB
ejpam-6079	121	7	the	the	DET
ejpam-6079	121	8	necessary	necessary	ADJ
ejpam-6079	121	9	condition	condition	NOUN
ejpam-6079	121	10	.	.	PUNCT
ejpam-6079	122	1	if	if	SCONJ
ejpam-6079	122	2	the	the	PRON
ejpam-6079	122	3	as	as	ADP
ejpam-6079	122	4	model	model	NOUN
ejpam-6079	122	5	holds	hold	VERB
ejpam-6079	122	6	(	(	PUNCT
ejpam-6079	122	7	i.e.	i.e.	X
ejpam-6079	122	8	,	,	PUNCT
ejpam-6079	122	9	πij	πij	NOUN
ejpam-6079	122	10	=	=	X
ejpam-6079	122	11	πj∗i∗	πj∗i∗	PROPN
ejpam-6079	122	12	for	for	ADP
ejpam-6079	122	13	(	(	PUNCT
ejpam-6079	122	14	i	i	PROPN
ejpam-6079	122	15	,	,	PUNCT
ejpam-6079	122	16	j	j	PROPN
ejpam-6079	122	17	)	)	PUNCT
ejpam-6079	122	18	∈	∈	PROPN
ejpam-6079	122	19	e	e	X
ejpam-6079	122	20	)	)	PUNCT
ejpam-6079	122	21	,	,	PUNCT
ejpam-6079	122	22	it	it	PRON
ejpam-6079	122	23	can	can	AUX
ejpam-6079	122	24	be	be	AUX
ejpam-6079	122	25	demonstrated	demonstrate	VERB
ejpam-6079	122	26	that	that	SCONJ
ejpam-6079	122	27	both	both	CCONJ
ejpam-6079	122	28	the	the	DET
ejpam-6079	122	29	ags	ag	NOUN
ejpam-6079	122	30	model	model	NOUN
ejpam-6079	122	31	and	and	CCONJ
ejpam-6079	122	32	the	the	DET
ejpam-6079	122	33	acs	acs	PROPN
ejpam-6079	122	34	model	model	NOUN
ejpam-6079	122	35	with	with	ADP
ejpam-6079	122	36	δ	δ	PROPN
ejpam-6079	122	37	=	=	SYM
ejpam-6079	122	38	1	1	NUM
ejpam-6079	122	39	concurrently	concurrently	ADV
ejpam-6079	122	40	hold	hold	VERB
ejpam-6079	122	41	.	.	PUNCT
ejpam-6079	123	1	therefore	therefore	ADV
ejpam-6079	123	2	,	,	PUNCT
ejpam-6079	123	3	the	the	DET
ejpam-6079	123	4	necessary	necessary	ADJ
ejpam-6079	123	5	condition	condition	NOUN
ejpam-6079	123	6	holds	hold	VERB
ejpam-6079	123	7	.	.	PUNCT
ejpam-6079	124	1	we	we	PRON
ejpam-6079	124	2	now	now	ADV
ejpam-6079	124	3	turn	turn	VERB
ejpam-6079	124	4	to	to	ADP
ejpam-6079	124	5	an	an	DET
ejpam-6079	124	6	examination	examination	NOUN
ejpam-6079	124	7	of	of	ADP
ejpam-6079	124	8	the	the	DET
ejpam-6079	124	9	sufficient	sufficient	ADJ
ejpam-6079	124	10	condition	condition	NOUN
ejpam-6079	124	11	.	.	PUNCT
ejpam-6079	125	1	assuming	assume	VERB
ejpam-6079	125	2	that	that	SCONJ
ejpam-6079	125	3	both	both	CCONJ
ejpam-6079	125	4	the	the	DET
ejpam-6079	125	5	acs	ac	NOUN
ejpam-6079	125	6	and	and	CCONJ
ejpam-6079	125	7	ags	ag	NOUN
ejpam-6079	125	8	models	model	NOUN
ejpam-6079	125	9	concurrently	concurrently	ADV
ejpam-6079	125	10	hold	hold	VERB
ejpam-6079	125	11	.	.	PUNCT
ejpam-6079	126	1	since	since	SCONJ
ejpam-6079	126	2	the	the	DET
ejpam-6079	126	3	ags	ag	NOUN
ejpam-6079	126	4	model	model	NOUN
ejpam-6079	126	5	holds	hold	VERB
ejpam-6079	126	6	,	,	PUNCT
ejpam-6079	126	7	the	the	DET
ejpam-6079	126	8	following	follow	VERB
ejpam-6079	126	9	equation	equation	NOUN
ejpam-6079	126	10	is	be	AUX
ejpam-6079	126	11	derived	derive	VERB
ejpam-6079	126	12	:	:	PUNCT
ejpam-6079	126	13	∑∑	∑∑	PROPN
ejpam-6079	126	14	(	(	PUNCT
ejpam-6079	126	15	i	i	PROPN
ejpam-6079	126	16	,	,	PUNCT
ejpam-6079	126	17	j)∈e	j)∈e	X
ejpam-6079	126	18	πij	πij	PROPN
ejpam-6079	126	19	=	=	PUNCT
ejpam-6079	127	1	∑∑	∑∑	PROPN
ejpam-6079	127	2	(	(	PUNCT
ejpam-6079	127	3	i	i	PROPN
ejpam-6079	127	4	,	,	PUNCT
ejpam-6079	127	5	j)∈e	j)∈e	PROPN
ejpam-6079	127	6	πj∗i∗	πj∗i∗	NUM
ejpam-6079	127	7	.	.	PUNCT
ejpam-6079	128	1	moreover	moreover	ADV
ejpam-6079	128	2	,	,	PUNCT
ejpam-6079	128	3	since	since	SCONJ
ejpam-6079	128	4	the	the	DET
ejpam-6079	128	5	ags	ag	NOUN
ejpam-6079	128	6	model	model	NOUN
ejpam-6079	128	7	holds	hold	VERB
ejpam-6079	128	8	,	,	PUNCT
ejpam-6079	128	9	the	the	DET
ejpam-6079	128	10	following	follow	VERB
ejpam-6079	128	11	equation	equation	NOUN
ejpam-6079	128	12	is	be	AUX
ejpam-6079	128	13	derived	derive	VERB
ejpam-6079	128	14	:	:	PUNCT
ejpam-6079	128	15	(	(	PUNCT
ejpam-6079	128	16	δ	δ	NOUN
ejpam-6079	128	17	−	−	PROPN
ejpam-6079	128	18	1	1	NUM
ejpam-6079	128	19	)	)	PUNCT
ejpam-6079	128	20	∑∑	∑∑	PROPN
ejpam-6079	128	21	(	(	PUNCT
ejpam-6079	128	22	i	i	PROPN
ejpam-6079	128	23	,	,	PUNCT
ejpam-6079	128	24	j)∈e	j)∈e	X
ejpam-6079	128	25	πj∗i∗	πj∗i∗	NUM
ejpam-6079	128	26	=	=	SYM
ejpam-6079	128	27	0	0	NUM
ejpam-6079	128	28	.	.	PUNCT
ejpam-6079	129	1	given	give	VERB
ejpam-6079	129	2	that	that	DET
ejpam-6079	129	3	πij	πij	PROPN
ejpam-6079	129	4	for	for	ADP
ejpam-6079	129	5	(	(	PUNCT
ejpam-6079	129	6	i	i	PROPN
ejpam-6079	129	7	,	,	PUNCT
ejpam-6079	129	8	j	j	PROPN
ejpam-6079	129	9	)	)	PUNCT
ejpam-6079	129	10	∈	∈	PROPN
ejpam-6079	129	11	a	a	PRON
ejpam-6079	129	12	are	be	AUX
ejpam-6079	129	13	positive	positive	ADJ
ejpam-6079	129	14	,	,	PUNCT
ejpam-6079	129	15	it	it	PRON
ejpam-6079	129	16	can	can	AUX
ejpam-6079	129	17	be	be	AUX
ejpam-6079	129	18	concluded	conclude	VERB
ejpam-6079	129	19	δ	δ	PROPN
ejpam-6079	129	20	=	=	SYM
ejpam-6079	129	21	1	1	X
ejpam-6079	129	22	.	.	PUNCT
ejpam-6079	129	23	consequently	consequently	ADV
ejpam-6079	129	24	,	,	PUNCT
ejpam-6079	129	25	the	the	DET
ejpam-6079	129	26	sufficient	sufficient	ADJ
ejpam-6079	129	27	condition	condition	NOUN
ejpam-6079	129	28	is	be	AUX
ejpam-6079	129	29	satisfied	satisfied	ADJ
ejpam-6079	129	30	.	.	PUNCT
ejpam-6079	130	1	the	the	DET
ejpam-6079	130	2	proof	proof	NOUN
ejpam-6079	130	3	is	be	AUX
ejpam-6079	130	4	thus	thus	ADV
ejpam-6079	130	5	complete	complete	ADJ
ejpam-6079	130	6	,	,	PUNCT
ejpam-6079	130	7	as	as	ADP
ejpam-6079	130	8	per	per	ADP
ejpam-6079	130	9	the	the	DET
ejpam-6079	130	10	aforementioned	aforementioned	ADJ
ejpam-6079	130	11	results	result	NOUN
ejpam-6079	130	12	.	.	PUNCT
ejpam-6079	131	1	the	the	DET
ejpam-6079	131	2	counterpart	counterpart	NOUN
ejpam-6079	131	3	to	to	ADP
ejpam-6079	131	4	the	the	DET
ejpam-6079	131	5	adps	adps	NOUN
ejpam-6079	131	6	model	model	NOUN
ejpam-6079	131	7	for	for	ADP
ejpam-6079	131	8	separating	separate	VERB
ejpam-6079	131	9	the	the	PRON
ejpam-6079	131	10	as	as	ADP
ejpam-6079	131	11	model	model	NOUN
ejpam-6079	131	12	is	be	AUX
ejpam-6079	131	13	the	the	DET
ejpam-6079	131	14	anti	anti	ADJ
ejpam-6079	131	15	-	-	NOUN
ejpam-6079	131	16	sumsymmetry	sumsymmetry	NOUN
ejpam-6079	131	17	(	(	PUNCT
ejpam-6079	131	18	ass	ass	NOUN
ejpam-6079	131	19	)	)	PUNCT
ejpam-6079	131	20	model	model	NOUN
ejpam-6079	132	1	[	[	X
ejpam-6079	132	2	9	9	NUM
ejpam-6079	132	3	,	,	PUNCT
ejpam-6079	132	4	10	10	NUM
ejpam-6079	132	5	]	]	PUNCT
ejpam-6079	132	6	.	.	PUNCT
ejpam-6079	133	1	the	the	DET
ejpam-6079	133	2	ass	ass	NOUN
ejpam-6079	133	3	model	model	NOUN
ejpam-6079	133	4	is	be	AUX
ejpam-6079	133	5	defined	define	VERB
ejpam-6079	133	6	by	by	ADP
ejpam-6079	133	7	the	the	DET
ejpam-6079	133	8	following	follow	VERB
ejpam-6079	133	9	equation:∑∑	equation:∑∑	X
ejpam-6079	133	10	(	(	PUNCT
ejpam-6079	133	11	i	i	NOUN
ejpam-6079	133	12	,	,	PUNCT
ejpam-6079	133	13	j)∈ed	j)∈ed	PROPN
ejpam-6079	133	14	πij	πij	NOUN
ejpam-6079	133	15	=	=	SYM
ejpam-6079	133	16	∑∑	∑∑	PROPN
ejpam-6079	133	17	(	(	PUNCT
ejpam-6079	133	18	i	i	NOUN
ejpam-6079	133	19	,	,	PUNCT
ejpam-6079	133	20	j)∈ed	j)∈ed	PROPN
ejpam-6079	133	21	πj∗i∗	πj∗i∗	NUM
ejpam-6079	133	22	(	(	PUNCT
ejpam-6079	133	23	d	d	NOUN
ejpam-6079	133	24	=	=	SYM
ejpam-6079	133	25	2	2	NUM
ejpam-6079	133	26	,	,	PUNCT
ejpam-6079	133	27	3	3	NUM
ejpam-6079	133	28	,	,	PUNCT
ejpam-6079	133	29	.	.	PUNCT
ejpam-6079	133	30	.	.	PUNCT
ejpam-6079	134	1	.	.	PUNCT
ejpam-6079	135	1	,	,	PUNCT
ejpam-6079	135	2	r	r	X
ejpam-6079	135	3	)	)	PUNCT
ejpam-6079	135	4	,	,	PUNCT
ejpam-6079	136	1	where	where	SCONJ
ejpam-6079	136	2	ed	ed	NOUN
ejpam-6079	136	3	=	=	PRON
ejpam-6079	136	4	{	{	PUNCT
ejpam-6079	136	5	(	(	PUNCT
ejpam-6079	136	6	i	i	PROPN
ejpam-6079	136	7	,	,	PUNCT
ejpam-6079	136	8	j	j	PROPN
ejpam-6079	136	9	)	)	PUNCT
ejpam-6079	137	1	|	|	ADV
ejpam-6079	137	2	i	i	PRON
ejpam-6079	137	3	,	,	PUNCT
ejpam-6079	137	4	j	j	PROPN
ejpam-6079	137	5	=	=	SYM
ejpam-6079	137	6	1	1	NUM
ejpam-6079	137	7	,	,	PUNCT
ejpam-6079	137	8	2	2	NUM
ejpam-6079	137	9	,	,	PUNCT
ejpam-6079	137	10	.	.	PUNCT
ejpam-6079	137	11	.	.	PUNCT
ejpam-6079	138	1	.	.	PUNCT
ejpam-6079	139	1	,	,	PUNCT
ejpam-6079	139	2	r	r	NOUN
ejpam-6079	139	3	,	,	PUNCT
ejpam-6079	139	4	i+	i+	NUM
ejpam-6079	140	1	j	j	X
ejpam-6079	140	2	<	<	X
ejpam-6079	140	3	r+	r+	PUNCT
ejpam-6079	140	4	1	1	NUM
ejpam-6079	140	5	,	,	PUNCT
ejpam-6079	140	6	i+	i+	NOUN
ejpam-6079	140	7	j	j	NOUN
ejpam-6079	140	8	=	=	SYM
ejpam-6079	140	9	d	d	PROPN
ejpam-6079	140	10	}	}	PUNCT
ejpam-6079	140	11	.	.	PUNCT
ejpam-6079	141	1	the	the	DET
ejpam-6079	141	2	separation	separation	NOUN
ejpam-6079	141	3	of	of	ADP
ejpam-6079	141	4	the	the	PRON
ejpam-6079	141	5	as	as	ADP
ejpam-6079	141	6	model	model	NOUN
ejpam-6079	141	7	via	via	ADP
ejpam-6079	141	8	the	the	DET
ejpam-6079	141	9	adps	adps	NOUN
ejpam-6079	141	10	and	and	CCONJ
ejpam-6079	141	11	ass	ass	NOUN
ejpam-6079	141	12	models	model	NOUN
ejpam-6079	141	13	is	be	AUX
ejpam-6079	141	14	given	give	VERB
ejpam-6079	141	15	by	by	ADP
ejpam-6079	141	16	the	the	DET
ejpam-6079	141	17	following	follow	VERB
ejpam-6079	141	18	theorem	theorem	PROPN
ejpam-6079	141	19	.	.	PUNCT
ejpam-6079	141	20	theorem	theorem	NOUN
ejpam-6079	141	21	2	2	NUM
ejpam-6079	141	22	.	.	PUNCT
ejpam-6079	142	1	the	the	DET
ejpam-6079	142	2	as	as	SCONJ
ejpam-6079	142	3	model	model	NOUN
ejpam-6079	142	4	holds	hold	VERB
ejpam-6079	142	5	if	if	SCONJ
ejpam-6079	142	6	and	and	CCONJ
ejpam-6079	142	7	only	only	ADV
ejpam-6079	142	8	if	if	SCONJ
ejpam-6079	142	9	both	both	CCONJ
ejpam-6079	142	10	the	the	DET
ejpam-6079	142	11	adps	adps	NOUN
ejpam-6079	142	12	and	and	CCONJ
ejpam-6079	142	13	ass	ass	NOUN
ejpam-6079	142	14	models	model	NOUN
ejpam-6079	142	15	hold	hold	VERB
ejpam-6079	142	16	.	.	PUNCT
ejpam-6079	143	1	proof	proof	NOUN
ejpam-6079	143	2	.	.	PUNCT
ejpam-6079	144	1	the	the	DET
ejpam-6079	144	2	initial	initial	ADJ
ejpam-6079	144	3	step	step	NOUN
ejpam-6079	144	4	is	be	AUX
ejpam-6079	144	5	to	to	PART
ejpam-6079	144	6	address	address	VERB
ejpam-6079	144	7	the	the	DET
ejpam-6079	144	8	necessary	necessary	ADJ
ejpam-6079	144	9	condition	condition	NOUN
ejpam-6079	144	10	.	.	PUNCT
ejpam-6079	145	1	if	if	SCONJ
ejpam-6079	145	2	the	the	PRON
ejpam-6079	145	3	as	as	ADP
ejpam-6079	145	4	model	model	NOUN
ejpam-6079	145	5	holds	hold	VERB
ejpam-6079	145	6	(	(	PUNCT
ejpam-6079	145	7	i.e.	i.e.	X
ejpam-6079	145	8	,	,	PUNCT
ejpam-6079	145	9	πij	πij	NOUN
ejpam-6079	145	10	=	=	X
ejpam-6079	145	11	πj∗i∗	πj∗i∗	PROPN
ejpam-6079	145	12	for	for	ADP
ejpam-6079	145	13	(	(	PUNCT
ejpam-6079	145	14	i	i	PROPN
ejpam-6079	145	15	,	,	PUNCT
ejpam-6079	145	16	j	j	PROPN
ejpam-6079	145	17	)	)	PUNCT
ejpam-6079	145	18	∈	∈	PROPN
ejpam-6079	145	19	e	e	X
ejpam-6079	145	20	)	)	PUNCT
ejpam-6079	145	21	,	,	PUNCT
ejpam-6079	145	22	it	it	PRON
ejpam-6079	145	23	can	can	AUX
ejpam-6079	145	24	be	be	AUX
ejpam-6079	145	25	demonstrated	demonstrate	VERB
ejpam-6079	145	26	that	that	SCONJ
ejpam-6079	145	27	both	both	CCONJ
ejpam-6079	145	28	the	the	DET
ejpam-6079	145	29	ass	ass	NOUN
ejpam-6079	145	30	model	model	NOUN
ejpam-6079	145	31	and	and	CCONJ
ejpam-6079	145	32	adps	adps	NOUN
ejpam-6079	145	33	model	model	NOUN
ejpam-6079	145	34	with	with	ADP
ejpam-6079	145	35	δr+1−(i+j	δr+1−(i+j	X
ejpam-6079	145	36	)	)	PUNCT
ejpam-6079	145	37	=	=	SYM
ejpam-6079	145	38	1	1	NUM
ejpam-6079	145	39	for	for	ADP
ejpam-6079	145	40	(	(	PUNCT
ejpam-6079	145	41	i	i	PROPN
ejpam-6079	145	42	,	,	PUNCT
ejpam-6079	145	43	j	j	PROPN
ejpam-6079	145	44	)	)	PUNCT
ejpam-6079	145	45	∈	∈	PROPN
ejpam-6079	145	46	e	e	X
ejpam-6079	145	47	concurrently	concurrently	ADV
ejpam-6079	145	48	hold	hold	VERB
ejpam-6079	145	49	.	.	PUNCT
ejpam-6079	146	1	it	it	PRON
ejpam-6079	146	2	can	can	AUX
ejpam-6079	146	3	thus	thus	ADV
ejpam-6079	146	4	be	be	AUX
ejpam-6079	146	5	concluded	conclude	VERB
ejpam-6079	146	6	that	that	SCONJ
ejpam-6079	146	7	the	the	DET
ejpam-6079	146	8	necessary	necessary	ADJ
ejpam-6079	146	9	condition	condition	NOUN
ejpam-6079	146	10	is	be	AUX
ejpam-6079	146	11	satisfied	satisfied	ADJ
ejpam-6079	146	12	.	.	PUNCT
ejpam-6079	147	1	s.	s.	PROPN
ejpam-6079	147	2	ando	ando	PROPN
ejpam-6079	147	3	/	/	SYM
ejpam-6079	147	4	eur	eur	PROPN
ejpam-6079	147	5	.	.	PUNCT
ejpam-6079	148	1	j.	j.	PROPN
ejpam-6079	148	2	pure	pure	PROPN
ejpam-6079	148	3	appl	appl	PROPN
ejpam-6079	148	4	.	.	PROPN
ejpam-6079	148	5	math	math	PROPN
ejpam-6079	148	6	,	,	PUNCT
ejpam-6079	148	7	18	18	NUM
ejpam-6079	148	8	(	(	PUNCT
ejpam-6079	148	9	2	2	NUM
ejpam-6079	148	10	)	)	PUNCT
ejpam-6079	148	11	(	(	PUNCT
ejpam-6079	148	12	2025	2025	NUM
ejpam-6079	148	13	)	)	PUNCT
ejpam-6079	148	14	,	,	PUNCT
ejpam-6079	148	15	6079	6079	NUM
ejpam-6079	148	16	7	7	NUM
ejpam-6079	148	17	of	of	ADP
ejpam-6079	148	18	14	14	NUM
ejpam-6079	148	19	the	the	DET
ejpam-6079	148	20	sufficient	sufficient	ADJ
ejpam-6079	148	21	condition	condition	NOUN
ejpam-6079	148	22	will	will	AUX
ejpam-6079	148	23	now	now	ADV
ejpam-6079	148	24	be	be	AUX
ejpam-6079	148	25	considered	consider	VERB
ejpam-6079	148	26	.	.	PUNCT
ejpam-6079	149	1	assuming	assume	VERB
ejpam-6079	149	2	that	that	SCONJ
ejpam-6079	149	3	both	both	CCONJ
ejpam-6079	149	4	the	the	DET
ejpam-6079	149	5	adps	adps	NOUN
ejpam-6079	149	6	and	and	CCONJ
ejpam-6079	149	7	ass	ass	NOUN
ejpam-6079	149	8	concurrently	concurrently	ADV
ejpam-6079	149	9	models	model	NOUN
ejpam-6079	149	10	hold	hold	VERB
ejpam-6079	149	11	.	.	PUNCT
ejpam-6079	150	1	since	since	SCONJ
ejpam-6079	150	2	the	the	DET
ejpam-6079	150	3	ass	ass	NOUN
ejpam-6079	150	4	model	model	NOUN
ejpam-6079	150	5	holds	hold	VERB
ejpam-6079	150	6	,	,	PUNCT
ejpam-6079	150	7	the	the	DET
ejpam-6079	150	8	following	follow	VERB
ejpam-6079	150	9	equation	equation	NOUN
ejpam-6079	150	10	is	be	AUX
ejpam-6079	150	11	obtained	obtain	VERB
ejpam-6079	150	12	:	:	PUNCT
ejpam-6079	150	13	∑∑	∑∑	PROPN
ejpam-6079	150	14	(	(	PUNCT
ejpam-6079	150	15	i	i	PRON
ejpam-6079	150	16	,	,	PUNCT
ejpam-6079	150	17	j)∈ed	j)∈ed	PROPN
ejpam-6079	150	18	πij	πij	NOUN
ejpam-6079	150	19	=	=	SYM
ejpam-6079	150	20	∑∑	∑∑	PROPN
ejpam-6079	150	21	(	(	PUNCT
ejpam-6079	150	22	i	i	NOUN
ejpam-6079	150	23	,	,	PUNCT
ejpam-6079	150	24	j)∈ed	j)∈ed	PROPN
ejpam-6079	150	25	πj∗i∗	πj∗i∗	NUM
ejpam-6079	150	26	(	(	PUNCT
ejpam-6079	150	27	d	d	NOUN
ejpam-6079	150	28	=	=	SYM
ejpam-6079	150	29	2	2	NUM
ejpam-6079	150	30	,	,	PUNCT
ejpam-6079	150	31	3	3	NUM
ejpam-6079	150	32	,	,	PUNCT
ejpam-6079	150	33	.	.	PUNCT
ejpam-6079	150	34	.	.	PUNCT
ejpam-6079	151	1	.	.	PUNCT
ejpam-6079	152	1	,	,	PUNCT
ejpam-6079	152	2	r	r	NOUN
ejpam-6079	152	3	)	)	PUNCT
ejpam-6079	152	4	.	.	PUNCT
ejpam-6079	153	1	moreover	moreover	ADV
ejpam-6079	153	2	,	,	PUNCT
ejpam-6079	153	3	since	since	SCONJ
ejpam-6079	153	4	the	the	DET
ejpam-6079	153	5	adps	adps	PROPN
ejpam-6079	153	6	model	model	NOUN
ejpam-6079	153	7	holds	hold	VERB
ejpam-6079	153	8	,	,	PUNCT
ejpam-6079	153	9	the	the	DET
ejpam-6079	153	10	following	follow	VERB
ejpam-6079	153	11	equation	equation	NOUN
ejpam-6079	153	12	is	be	AUX
ejpam-6079	153	13	derived:∑∑	derived:∑∑	PROPN
ejpam-6079	153	14	(	(	PUNCT
ejpam-6079	153	15	i	i	NOUN
ejpam-6079	153	16	,	,	PUNCT
ejpam-6079	153	17	j)∈ed	j)∈ed	PROPN
ejpam-6079	153	18	(	(	PUNCT
ejpam-6079	153	19	δr+1−(i+j	δr+1−(i+j	SYM
ejpam-6079	153	20	)	)	PUNCT
ejpam-6079	153	21	−	−	PROPN
ejpam-6079	154	1	1)πj∗i∗	1)πj∗i∗	NUM
ejpam-6079	154	2	=	=	SYM
ejpam-6079	154	3	0	0	PUNCT
ejpam-6079	155	1	(	(	PUNCT
ejpam-6079	155	2	d	d	NOUN
ejpam-6079	155	3	=	=	SYM
ejpam-6079	155	4	2	2	NUM
ejpam-6079	155	5	,	,	PUNCT
ejpam-6079	155	6	3	3	NUM
ejpam-6079	155	7	,	,	PUNCT
ejpam-6079	155	8	.	.	PUNCT
ejpam-6079	155	9	.	.	PUNCT
ejpam-6079	156	1	.	.	PUNCT
ejpam-6079	157	1	,	,	PUNCT
ejpam-6079	157	2	r	r	NOUN
ejpam-6079	157	3	)	)	PUNCT
ejpam-6079	157	4	.	.	PUNCT
ejpam-6079	158	1	given	give	VERB
ejpam-6079	158	2	that	that	DET
ejpam-6079	158	3	πij	πij	PROPN
ejpam-6079	158	4	for	for	ADP
ejpam-6079	158	5	(	(	PUNCT
ejpam-6079	158	6	i	i	PROPN
ejpam-6079	158	7	,	,	PUNCT
ejpam-6079	158	8	j	j	PROPN
ejpam-6079	158	9	)	)	PUNCT
ejpam-6079	158	10	∈	∈	PROPN
ejpam-6079	158	11	a	a	PRON
ejpam-6079	158	12	are	be	AUX
ejpam-6079	158	13	positive	positive	ADJ
ejpam-6079	158	14	,	,	PUNCT
ejpam-6079	158	15	it	it	PRON
ejpam-6079	158	16	can	can	AUX
ejpam-6079	158	17	be	be	AUX
ejpam-6079	158	18	concluded	conclude	VERB
ejpam-6079	158	19	δr+1−(i+j	δr+1−(i+j	X
ejpam-6079	158	20	)	)	PUNCT
ejpam-6079	159	1	=	=	SYM
ejpam-6079	159	2	1	1	NUM
ejpam-6079	159	3	for	for	ADP
ejpam-6079	159	4	(	(	PUNCT
ejpam-6079	159	5	i	i	PROPN
ejpam-6079	159	6	,	,	PUNCT
ejpam-6079	159	7	j	j	PROPN
ejpam-6079	159	8	)	)	PUNCT
ejpam-6079	159	9	∈	∈	PROPN
ejpam-6079	159	10	e.	e.	PROPN
ejpam-6079	159	11	consequently	consequently	ADV
ejpam-6079	159	12	,	,	PUNCT
ejpam-6079	159	13	the	the	DET
ejpam-6079	159	14	sufficient	sufficient	ADJ
ejpam-6079	159	15	condition	condition	NOUN
ejpam-6079	159	16	is	be	AUX
ejpam-6079	159	17	satisfied	satisfied	ADJ
ejpam-6079	159	18	.	.	PUNCT
ejpam-6079	160	1	the	the	DET
ejpam-6079	160	2	proof	proof	NOUN
ejpam-6079	160	3	is	be	AUX
ejpam-6079	160	4	thus	thus	ADV
ejpam-6079	160	5	complete	complete	ADJ
ejpam-6079	160	6	,	,	PUNCT
ejpam-6079	160	7	as	as	ADP
ejpam-6079	160	8	per	per	ADP
ejpam-6079	160	9	the	the	DET
ejpam-6079	160	10	aforementioned	aforementioned	ADJ
ejpam-6079	160	11	results	result	NOUN
ejpam-6079	160	12	.	.	PUNCT
ejpam-6079	161	1	these	these	DET
ejpam-6079	161	2	separations	separation	NOUN
ejpam-6079	161	3	(	(	PUNCT
ejpam-6079	161	4	i.e.	i.e.	X
ejpam-6079	161	5	,theorems	,theorems	PUNCT
ejpam-6079	161	6	1	1	NUM
ejpam-6079	161	7	and	and	CCONJ
ejpam-6079	161	8	2	2	NUM
ejpam-6079	161	9	)	)	PUNCT
ejpam-6079	161	10	may	may	AUX
ejpam-6079	161	11	be	be	AUX
ejpam-6079	161	12	useful	useful	ADJ
ejpam-6079	161	13	for	for	ADP
ejpam-6079	161	14	seeing	see	VERB
ejpam-6079	161	15	a	a	DET
ejpam-6079	161	16	reason	reason	NOUN
ejpam-6079	161	17	for	for	ADP
ejpam-6079	161	18	the	the	DET
ejpam-6079	161	19	poor	poor	ADJ
ejpam-6079	161	20	fit	fit	NOUN
ejpam-6079	161	21	of	of	ADP
ejpam-6079	161	22	the	the	PRON
ejpam-6079	161	23	as	as	ADP
ejpam-6079	161	24	model	model	NOUN
ejpam-6079	161	25	.	.	PUNCT
ejpam-6079	162	1	4	4	X
ejpam-6079	162	2	.	.	X
ejpam-6079	162	3	separation	separation	NOUN
ejpam-6079	162	4	of	of	ADP
ejpam-6079	162	5	test	test	NOUN
ejpam-6079	162	6	statistic	statistic	NOUN
ejpam-6079	162	7	for	for	ADP
ejpam-6079	162	8	the	the	PRON
ejpam-6079	162	9	as	as	ADP
ejpam-6079	162	10	model	model	NOUN
ejpam-6079	162	11	and	and	CCONJ
ejpam-6079	162	12	model	model	NOUN
ejpam-6079	162	13	selection	selection	NOUN
ejpam-6079	162	14	let	let	AUX
ejpam-6079	162	15	denote	denote	VERB
ejpam-6079	162	16	n	n	PRON
ejpam-6079	162	17	as	as	ADP
ejpam-6079	162	18	sample	sample	NOUN
ejpam-6079	162	19	size	size	NOUN
ejpam-6079	162	20	(	(	PUNCT
ejpam-6079	162	21	i.e.	i.e.	X
ejpam-6079	162	22	,	,	PUNCT
ejpam-6079	162	23	n	n	PROPN
ejpam-6079	162	24	=	=	SYM
ejpam-6079	162	25	∑∑	∑∑	PROPN
ejpam-6079	162	26	(	(	PUNCT
ejpam-6079	162	27	i	i	PROPN
ejpam-6079	162	28	,	,	PUNCT
ejpam-6079	162	29	j)∈a	j)∈a	PROPN
ejpam-6079	162	30	fij	fij	PROPN
ejpam-6079	162	31	)	)	PUNCT
ejpam-6079	162	32	.	.	PUNCT
ejpam-6079	163	1	we	we	PRON
ejpam-6079	163	2	assume	assume	VERB
ejpam-6079	163	3	that	that	SCONJ
ejpam-6079	163	4	the	the	DET
ejpam-6079	163	5	observed	observed	ADJ
ejpam-6079	163	6	frequencies	frequency	NOUN
ejpam-6079	163	7	fij	fij	PROPN
ejpam-6079	163	8	for	for	ADP
ejpam-6079	163	9	(	(	PUNCT
ejpam-6079	163	10	i	i	PROPN
ejpam-6079	163	11	,	,	PUNCT
ejpam-6079	163	12	j	j	PROPN
ejpam-6079	163	13	)	)	PUNCT
ejpam-6079	163	14	∈	∈	PROPN
ejpam-6079	163	15	a	a	PRON
ejpam-6079	163	16	are	be	AUX
ejpam-6079	163	17	distributed	distribute	VERB
ejpam-6079	163	18	as	as	ADP
ejpam-6079	163	19	a	a	DET
ejpam-6079	163	20	multinomial	multinomial	ADJ
ejpam-6079	163	21	distribution	distribution	NOUN
ejpam-6079	163	22	with	with	ADP
ejpam-6079	163	23	the	the	DET
ejpam-6079	163	24	probability	probability	NOUN
ejpam-6079	163	25	vector	vector	NOUN
ejpam-6079	163	26	π	π	PROPN
ejpam-6079	163	27	,	,	PUNCT
ejpam-6079	163	28	where	where	SCONJ
ejpam-6079	163	29	π	π	PROPN
ejpam-6079	163	30	=	=	PRON
ejpam-6079	163	31	(	(	PUNCT
ejpam-6079	163	32	π11	π11	NOUN
ejpam-6079	163	33	,	,	PUNCT
ejpam-6079	163	34	π12	π12	NOUN
ejpam-6079	163	35	,	,	PUNCT
ejpam-6079	163	36	.	.	PUNCT
ejpam-6079	163	37	.	.	PUNCT
ejpam-6079	164	1	.	.	PUNCT
ejpam-6079	165	1	,	,	PUNCT
ejpam-6079	165	2	π1r	π1r	NOUN
ejpam-6079	165	3	,	,	PUNCT
ejpam-6079	165	4	π21	π21	NOUN
ejpam-6079	165	5	,	,	PUNCT
ejpam-6079	165	6	π22	π22	NOUN
ejpam-6079	165	7	,	,	PUNCT
ejpam-6079	165	8	.	.	PUNCT
ejpam-6079	165	9	.	.	PUNCT
ejpam-6079	166	1	.	.	PUNCT
ejpam-6079	167	1	,	,	PUNCT
ejpam-6079	167	2	π2r	π2r	PROPN
ejpam-6079	167	3	,	,	PUNCT
ejpam-6079	167	4	.	.	PUNCT
ejpam-6079	167	5	.	.	PUNCT
ejpam-6079	168	1	.	.	PUNCT
ejpam-6079	169	1	,	,	PUNCT
ejpam-6079	169	2	πr1	πr1	NOUN
ejpam-6079	169	3	,	,	PUNCT
ejpam-6079	169	4	πr2	πr2	NOUN
ejpam-6079	169	5	,	,	PUNCT
ejpam-6079	169	6	.	.	PUNCT
ejpam-6079	169	7	.	.	PUNCT
ejpam-6079	170	1	.	.	PUNCT
ejpam-6079	171	1	,	,	PUNCT
ejpam-6079	171	2	πrr	πrr	PROPN
ejpam-6079	171	3	)	)	PUNCT
ejpam-6079	171	4	⊤.	⊤.	NOUN
ejpam-6079	171	5	the	the	DET
ejpam-6079	171	6	symbol	symbol	NOUN
ejpam-6079	171	7	⊤	⊤	NOUN
ejpam-6079	171	8	represents	represent	VERB
ejpam-6079	171	9	the	the	DET
ejpam-6079	171	10	transpose	transpose	NOUN
ejpam-6079	171	11	of	of	ADP
ejpam-6079	171	12	vector	vector	NOUN
ejpam-6079	171	13	or	or	CCONJ
ejpam-6079	171	14	matrix	matrix	NOUN
ejpam-6079	171	15	.	.	PUNCT
ejpam-6079	172	1	let	let	VERB
ejpam-6079	172	2	êij	êij	NOUN
ejpam-6079	172	3	for	for	ADP
ejpam-6079	172	4	(	(	PUNCT
ejpam-6079	172	5	i	i	PROPN
ejpam-6079	172	6	,	,	PUNCT
ejpam-6079	172	7	j	j	PROPN
ejpam-6079	172	8	)	)	PUNCT
ejpam-6079	172	9	∈	∈	PROPN
ejpam-6079	172	10	a	a	DET
ejpam-6079	172	11	denote	denote	NOUN
ejpam-6079	172	12	the	the	DET
ejpam-6079	172	13	maximum	maximum	ADJ
ejpam-6079	172	14	likelihood	likelihood	NOUN
ejpam-6079	172	15	estimator	estimator	NOUN
ejpam-6079	172	16	(	(	PUNCT
ejpam-6079	172	17	mle	mle	PROPN
ejpam-6079	172	18	)	)	PUNCT
ejpam-6079	172	19	of	of	ADP
ejpam-6079	172	20	the	the	DET
ejpam-6079	172	21	expected	expect	VERB
ejpam-6079	172	22	frequencies	frequency	NOUN
ejpam-6079	172	23	eij	eij	PROPN
ejpam-6079	172	24	under	under	ADP
ejpam-6079	172	25	the	the	DET
ejpam-6079	172	26	concerned	concerned	ADJ
ejpam-6079	172	27	model	model	NOUN
ejpam-6079	172	28	can	can	AUX
ejpam-6079	172	29	be	be	AUX
ejpam-6079	172	30	obtained	obtain	VERB
ejpam-6079	172	31	via	via	ADP
ejpam-6079	172	32	maximizing	maximize	VERB
ejpam-6079	172	33	the	the	DET
ejpam-6079	172	34	log	log	NOUN
ejpam-6079	172	35	-	-	PUNCT
ejpam-6079	172	36	likelihood	likelihood	NOUN
ejpam-6079	172	37	equation	equation	NOUN
ejpam-6079	172	38	under	under	ADP
ejpam-6079	172	39	the	the	DET
ejpam-6079	172	40	restrictions	restriction	NOUN
ejpam-6079	172	41	of	of	ADP
ejpam-6079	172	42	the	the	DET
ejpam-6079	172	43	concerned	concerned	ADJ
ejpam-6079	172	44	model	model	NOUN
ejpam-6079	172	45	.	.	PUNCT
ejpam-6079	173	1	thus	thus	ADV
ejpam-6079	173	2	,	,	PUNCT
ejpam-6079	173	3	the	the	DET
ejpam-6079	173	4	êij	êij	NOUN
ejpam-6079	173	5	for	for	ADP
ejpam-6079	173	6	(	(	PUNCT
ejpam-6079	173	7	i	i	PROPN
ejpam-6079	173	8	,	,	PUNCT
ejpam-6079	173	9	j	j	PROPN
ejpam-6079	173	10	)	)	PUNCT
ejpam-6079	173	11	∈	∈	PROPN
ejpam-6079	173	12	a	a	PRON
ejpam-6079	173	13	under	under	ADP
ejpam-6079	173	14	the	the	DET
ejpam-6079	173	15	adps	adps	NOUN
ejpam-6079	173	16	model	model	NOUN
ejpam-6079	173	17	can	can	AUX
ejpam-6079	173	18	be	be	AUX
ejpam-6079	173	19	obtained	obtain	VERB
ejpam-6079	173	20	via	via	ADP
ejpam-6079	173	21	maximizing	maximize	VERB
ejpam-6079	173	22	the	the	DET
ejpam-6079	173	23	following	following	ADJ
ejpam-6079	173	24	lagrangian	lagrangian	NOUN
ejpam-6079	173	25	regarding	regard	VERB
ejpam-6079	173	26	{	{	PUNCT
ejpam-6079	173	27	πij	πij	PROPN
ejpam-6079	173	28	}	}	PUNCT
ejpam-6079	173	29	,	,	PUNCT
ejpam-6079	173	30	ϕ	ϕ	NOUN
ejpam-6079	173	31	,	,	PUNCT
ejpam-6079	173	32	{	{	PUNCT
ejpam-6079	173	33	ψij	ψij	NOUN
ejpam-6079	173	34	}	}	PUNCT
ejpam-6079	173	35	,	,	PUNCT
ejpam-6079	173	36	and	and	CCONJ
ejpam-6079	173	37	{	{	PUNCT
ejpam-6079	173	38	δr+1−(i+j	δr+1−(i+j	INTJ
ejpam-6079	173	39	)	)	PUNCT
ejpam-6079	173	40	}	}	PUNCT
ejpam-6079	173	41	:	:	PUNCT
ejpam-6079	174	1	l	l	X
ejpam-6079	174	2	=	=	PUNCT
ejpam-6079	174	3	∑∑	∑∑	PROPN
ejpam-6079	174	4	(	(	PUNCT
ejpam-6079	174	5	i	i	PROPN
ejpam-6079	174	6	,	,	PUNCT
ejpam-6079	174	7	j)∈a	j)∈a	PROPN
ejpam-6079	175	1	fij	fij	PROPN
ejpam-6079	175	2	log	log	PROPN
ejpam-6079	175	3	πij	πij	PROPN
ejpam-6079	175	4	−	−	PROPN
ejpam-6079	175	5	ϕ	ϕ	PROPN
ejpam-6079	175	6	∑∑	∑∑	NOUN
ejpam-6079	175	7	(	(	PUNCT
ejpam-6079	175	8	i	i	PROPN
ejpam-6079	175	9	,	,	PUNCT
ejpam-6079	175	10	j)∈a	j)∈a	PROPN
ejpam-6079	176	1	πij	πij	PROPN
ejpam-6079	176	2	−	−	PROPN
ejpam-6079	176	3	1	1	NUM
ejpam-6079	176	4	−	−	ADP
ejpam-6079	176	5	∑∑	∑∑	PROPN
ejpam-6079	176	6	(	(	PUNCT
ejpam-6079	176	7	i	i	PROPN
ejpam-6079	176	8	,	,	PUNCT
ejpam-6079	176	9	j)∈e	j)∈e	PROPN
ejpam-6079	176	10	ψij	ψij	VERB
ejpam-6079	176	11	(	(	PUNCT
ejpam-6079	176	12	πij	πij	PROPN
ejpam-6079	176	13	−	−	PROPN
ejpam-6079	176	14	δr+1−(i+j)πj∗i∗	δr+1−(i+j)πj∗i∗	PROPN
ejpam-6079	176	15	)	)	PUNCT
ejpam-6079	176	16	.	.	PUNCT
ejpam-6079	177	1	although	although	SCONJ
ejpam-6079	177	2	the	the	DET
ejpam-6079	177	3	details	detail	NOUN
ejpam-6079	177	4	are	be	AUX
ejpam-6079	177	5	omitted	omit	VERB
ejpam-6079	177	6	,	,	PUNCT
ejpam-6079	177	7	the	the	DET
ejpam-6079	177	8	êij	êij	NOUN
ejpam-6079	177	9	for	for	ADP
ejpam-6079	177	10	(	(	PUNCT
ejpam-6079	177	11	i	i	PROPN
ejpam-6079	177	12	,	,	PUNCT
ejpam-6079	177	13	j	j	PROPN
ejpam-6079	177	14	)	)	PUNCT
ejpam-6079	177	15	∈	∈	PROPN
ejpam-6079	177	16	a	a	PRON
ejpam-6079	177	17	under	under	ADP
ejpam-6079	177	18	the	the	DET
ejpam-6079	177	19	as	as	ADP
ejpam-6079	177	20	,	,	PUNCT
ejpam-6079	177	21	acs	acs	PROPN
ejpam-6079	177	22	,	,	PUNCT
ejpam-6079	177	23	adps	adps	NOUN
ejpam-6079	177	24	,	,	PUNCT
ejpam-6079	177	25	ags	ag	NOUN
ejpam-6079	177	26	and	and	CCONJ
ejpam-6079	177	27	ass	ass	NOUN
ejpam-6079	177	28	models	model	NOUN
ejpam-6079	177	29	are	be	AUX
ejpam-6079	177	30	calculated	calculate	VERB
ejpam-6079	177	31	as	as	ADP
ejpam-6079	177	32	the	the	DET
ejpam-6079	177	33	equations	equation	NOUN
ejpam-6079	177	34	(	(	PUNCT
ejpam-6079	177	35	1	1	NUM
ejpam-6079	177	36	)	)	PUNCT
ejpam-6079	177	37	,	,	PUNCT
ejpam-6079	177	38	(	(	PUNCT
ejpam-6079	177	39	2	2	NUM
ejpam-6079	177	40	)	)	PUNCT
ejpam-6079	177	41	,	,	PUNCT
ejpam-6079	177	42	(	(	PUNCT
ejpam-6079	177	43	3	3	NUM
ejpam-6079	177	44	)	)	PUNCT
ejpam-6079	177	45	,	,	PUNCT
ejpam-6079	177	46	(	(	PUNCT
ejpam-6079	177	47	4	4	NUM
ejpam-6079	177	48	)	)	PUNCT
ejpam-6079	177	49	and	and	CCONJ
ejpam-6079	177	50	(	(	PUNCT
ejpam-6079	177	51	5	5	NUM
ejpam-6079	177	52	)	)	PUNCT
ejpam-6079	177	53	,	,	PUNCT
ejpam-6079	177	54	respectively	respectively	ADV
ejpam-6079	177	55	.	.	PUNCT
ejpam-6079	178	1	let	let	AUX
ejpam-6079	178	2	denote	denote	VERB
ejpam-6079	178	3	the	the	DET
ejpam-6079	178	4	sets	set	NOUN
ejpam-6079	178	5	ec1	ec1	PROPN
ejpam-6079	178	6	=	=	PRON
ejpam-6079	178	7	{	{	PUNCT
ejpam-6079	178	8	(	(	PUNCT
ejpam-6079	178	9	i	i	PROPN
ejpam-6079	178	10	,	,	PUNCT
ejpam-6079	178	11	j	j	PROPN
ejpam-6079	178	12	)	)	PUNCT
ejpam-6079	179	1	|	|	ADV
ejpam-6079	179	2	i	i	PRON
ejpam-6079	179	3	,	,	PUNCT
ejpam-6079	179	4	j	j	PROPN
ejpam-6079	179	5	=	=	SYM
ejpam-6079	179	6	1	1	NUM
ejpam-6079	179	7	,	,	PUNCT
ejpam-6079	179	8	2	2	NUM
ejpam-6079	179	9	,	,	PUNCT
ejpam-6079	179	10	.	.	PUNCT
ejpam-6079	179	11	.	.	PUNCT
ejpam-6079	179	12	.	.	PUNCT
ejpam-6079	180	1	,	,	PUNCT
ejpam-6079	180	2	r	r	X
ejpam-6079	180	3	,	,	PUNCT
ejpam-6079	180	4	i	i	PROPN
ejpam-6079	180	5	+	+	NUM
ejpam-6079	180	6	j	j	NOUN
ejpam-6079	181	1	=	=	SYM
ejpam-6079	181	2	r	r	NOUN
ejpam-6079	181	3	+	+	NOUN
ejpam-6079	181	4	1	1	NUM
ejpam-6079	181	5	}	}	PUNCT
ejpam-6079	181	6	,	,	PUNCT
ejpam-6079	181	7	ec2	ec2	PROPN
ejpam-6079	181	8	=	=	PRON
ejpam-6079	181	9	{	{	PUNCT
ejpam-6079	181	10	(	(	PUNCT
ejpam-6079	181	11	i	i	PROPN
ejpam-6079	181	12	,	,	PUNCT
ejpam-6079	181	13	j	j	PROPN
ejpam-6079	181	14	)	)	PUNCT
ejpam-6079	182	1	|	|	ADV
ejpam-6079	182	2	i	i	PRON
ejpam-6079	182	3	,	,	PUNCT
ejpam-6079	182	4	j	j	PROPN
ejpam-6079	182	5	=	=	SYM
ejpam-6079	182	6	1	1	NUM
ejpam-6079	182	7	,	,	PUNCT
ejpam-6079	182	8	2	2	NUM
ejpam-6079	182	9	,	,	PUNCT
ejpam-6079	182	10	.	.	PUNCT
ejpam-6079	182	11	.	.	PUNCT
ejpam-6079	182	12	.	.	PUNCT
ejpam-6079	183	1	,	,	PUNCT
ejpam-6079	183	2	r	r	X
ejpam-6079	183	3	,	,	PUNCT
ejpam-6079	183	4	i	i	PROPN
ejpam-6079	183	5	+	+	X
ejpam-6079	184	1	j	j	X
ejpam-6079	184	2	>	>	X
ejpam-6079	184	3	r	r	NOUN
ejpam-6079	184	4	+	+	CCONJ
ejpam-6079	184	5	1	1	NUM
ejpam-6079	184	6	}	}	PUNCT
ejpam-6079	184	7	,	,	PUNCT
ejpam-6079	184	8	s	s	X
ejpam-6079	184	9	=	=	PUNCT
ejpam-6079	184	10	{	{	PUNCT
ejpam-6079	184	11	(	(	PUNCT
ejpam-6079	184	12	s	s	PROPN
ejpam-6079	184	13	,	,	PUNCT
ejpam-6079	184	14	t	t	PROPN
ejpam-6079	184	15	)	)	PUNCT
ejpam-6079	185	1	|	|	NOUN
ejpam-6079	185	2	s	s	PROPN
ejpam-6079	185	3	,	,	PUNCT
ejpam-6079	185	4	t	t	NOUN
ejpam-6079	185	5	=	=	SYM
ejpam-6079	185	6	1	1	NUM
ejpam-6079	185	7	,	,	PUNCT
ejpam-6079	185	8	2	2	NUM
ejpam-6079	185	9	,	,	PUNCT
ejpam-6079	185	10	.	.	PUNCT
ejpam-6079	185	11	.	.	PUNCT
ejpam-6079	185	12	.	.	PUNCT
ejpam-6079	186	1	,	,	PUNCT
ejpam-6079	186	2	r	r	X
ejpam-6079	186	3	,	,	PUNCT
ejpam-6079	186	4	s	s	PART
ejpam-6079	187	1	+	+	X
ejpam-6079	187	2	t	t	X
ejpam-6079	187	3	<	<	X
ejpam-6079	187	4	r	r	NOUN
ejpam-6079	187	5	+	+	CCONJ
ejpam-6079	187	6	1	1	NUM
ejpam-6079	187	7	}	}	PUNCT
ejpam-6079	187	8	and	and	CCONJ
ejpam-6079	187	9	sij	sij	PROPN
ejpam-6079	187	10	=	=	SYM
ejpam-6079	187	11	{	{	PUNCT
ejpam-6079	187	12	(	(	PUNCT
ejpam-6079	187	13	s	s	PROPN
ejpam-6079	187	14	,	,	PUNCT
ejpam-6079	187	15	t	t	PROPN
ejpam-6079	187	16	)	)	PUNCT
ejpam-6079	188	1	|	|	NOUN
ejpam-6079	188	2	s	s	PROPN
ejpam-6079	188	3	,	,	PUNCT
ejpam-6079	188	4	t	t	NOUN
ejpam-6079	188	5	=	=	SYM
ejpam-6079	188	6	1	1	NUM
ejpam-6079	188	7	,	,	PUNCT
ejpam-6079	188	8	2	2	NUM
ejpam-6079	188	9	,	,	PUNCT
ejpam-6079	188	10	.	.	PUNCT
ejpam-6079	188	11	.	.	PUNCT
ejpam-6079	188	12	.	.	PUNCT
ejpam-6079	189	1	,	,	PUNCT
ejpam-6079	189	2	r	r	NOUN
ejpam-6079	189	3	,	,	PUNCT
ejpam-6079	189	4	s+	s+	PUNCT
ejpam-6079	189	5	t	t	PROPN
ejpam-6079	189	6	<	<	X
ejpam-6079	189	7	r+	r+	VERB
ejpam-6079	189	8	1	1	NUM
ejpam-6079	189	9	,	,	PUNCT
ejpam-6079	189	10	s+	s+	NOUN
ejpam-6079	189	11	t	t	PROPN
ejpam-6079	189	12	=	=	SYM
ejpam-6079	189	13	i+	i+	X
ejpam-6079	189	14	j	j	NOUN
ejpam-6079	189	15	}	}	PUNCT
ejpam-6079	189	16	.	.	PUNCT
ejpam-6079	190	1	êij	êij	NOUN
ejpam-6079	190	2	=	=	PUNCT
ejpam-6079	190	3			PROPN
ejpam-6079	190	4	fij	fij	PROPN
ejpam-6079	191	1	+	+	CCONJ
ejpam-6079	191	2	fj∗i∗	fj∗i∗	PROPN
ejpam-6079	191	3	2	2	NUM
ejpam-6079	191	4	(	(	PUNCT
ejpam-6079	191	5	(	(	PUNCT
ejpam-6079	191	6	i	i	PROPN
ejpam-6079	191	7	,	,	PUNCT
ejpam-6079	191	8	j	j	PROPN
ejpam-6079	191	9	)	)	PUNCT
ejpam-6079	191	10	∈	∈	PROPN
ejpam-6079	191	11	e	e	X
ejpam-6079	191	12	)	)	PUNCT
ejpam-6079	191	13	fij	fij	PROPN
ejpam-6079	191	14	(	(	PUNCT
ejpam-6079	191	15	(	(	PUNCT
ejpam-6079	191	16	i	i	PROPN
ejpam-6079	191	17	,	,	PUNCT
ejpam-6079	191	18	j	j	PROPN
ejpam-6079	191	19	)	)	PUNCT
ejpam-6079	191	20	∈	∈	PROPN
ejpam-6079	191	21	ec1	ec1	PROPN
ejpam-6079	191	22	)	)	PUNCT
ejpam-6079	191	23	fij	fij	PROPN
ejpam-6079	192	1	+	+	CCONJ
ejpam-6079	192	2	fj∗i∗	fj∗i∗	PROPN
ejpam-6079	192	3	2	2	NUM
ejpam-6079	192	4	(	(	PUNCT
ejpam-6079	192	5	(	(	PUNCT
ejpam-6079	192	6	i	i	PROPN
ejpam-6079	192	7	,	,	PUNCT
ejpam-6079	192	8	j	j	PROPN
ejpam-6079	192	9	)	)	PUNCT
ejpam-6079	192	10	∈	∈	PROPN
ejpam-6079	192	11	ec2	ec2	PROPN
ejpam-6079	192	12	)	)	PUNCT
ejpam-6079	192	13	.	.	PUNCT
ejpam-6079	193	1	(	(	PUNCT
ejpam-6079	193	2	1	1	X
ejpam-6079	193	3	)	)	PUNCT
ejpam-6079	193	4	s.	s.	PROPN
ejpam-6079	193	5	ando	ando	PROPN
ejpam-6079	193	6	/	/	SYM
ejpam-6079	193	7	eur	eur	PROPN
ejpam-6079	193	8	.	.	PUNCT
ejpam-6079	194	1	j.	j.	PROPN
ejpam-6079	194	2	pure	pure	PROPN
ejpam-6079	194	3	appl	appl	PROPN
ejpam-6079	194	4	.	.	PROPN
ejpam-6079	194	5	math	math	PROPN
ejpam-6079	194	6	,	,	PUNCT
ejpam-6079	194	7	18	18	NUM
ejpam-6079	194	8	(	(	PUNCT
ejpam-6079	194	9	2	2	NUM
ejpam-6079	194	10	)	)	PUNCT
ejpam-6079	194	11	(	(	PUNCT
ejpam-6079	194	12	2025	2025	NUM
ejpam-6079	194	13	)	)	PUNCT
ejpam-6079	194	14	,	,	PUNCT
ejpam-6079	194	15	6079	6079	NUM
ejpam-6079	194	16	8	8	NUM
ejpam-6079	194	17	of	of	ADP
ejpam-6079	194	18	14	14	NUM
ejpam-6079	194	19	êij	êij	NOUN
ejpam-6079	194	20	=	=	SYM
ejpam-6079	194	21			PROPN
ejpam-6079	194	22	∑∑	∑∑	PROPN
ejpam-6079	194	23	(	(	PUNCT
ejpam-6079	194	24	s	s	NOUN
ejpam-6079	194	25	,	,	PUNCT
ejpam-6079	194	26	t)∈s	t)∈s	VERB
ejpam-6079	194	27	fst∑∑	fst∑∑	NOUN
ejpam-6079	194	28	(	(	PUNCT
ejpam-6079	194	29	s	s	NOUN
ejpam-6079	194	30	,	,	PUNCT
ejpam-6079	194	31	t)∈s	t)∈s	ADJ
ejpam-6079	194	32	fst	fst	NOUN
ejpam-6079	194	33	+	+	X
ejpam-6079	194	34	∑∑	∑∑	PROPN
ejpam-6079	194	35	(	(	PUNCT
ejpam-6079	194	36	s	s	NOUN
ejpam-6079	194	37	,	,	PUNCT
ejpam-6079	194	38	t)∈s	t)∈s	X
ejpam-6079	194	39	ft∗s∗	ft∗s∗	NUM
ejpam-6079	194	40	·	·	PUNCT
ejpam-6079	194	41	(	(	PUNCT
ejpam-6079	194	42	fij	fij	PROPN
ejpam-6079	194	43	+	+	CCONJ
ejpam-6079	194	44	fj∗i∗	fj∗i∗	NUM
ejpam-6079	194	45	)	)	PUNCT
ejpam-6079	194	46	(	(	PUNCT
ejpam-6079	194	47	(	(	PUNCT
ejpam-6079	194	48	i	i	PROPN
ejpam-6079	194	49	,	,	PUNCT
ejpam-6079	194	50	j	j	PROPN
ejpam-6079	194	51	)	)	PUNCT
ejpam-6079	194	52	∈	∈	PROPN
ejpam-6079	194	53	e	e	X
ejpam-6079	194	54	)	)	PUNCT
ejpam-6079	194	55	fij	fij	PROPN
ejpam-6079	194	56	(	(	PUNCT
ejpam-6079	194	57	(	(	PUNCT
ejpam-6079	194	58	i	i	PROPN
ejpam-6079	194	59	,	,	PUNCT
ejpam-6079	194	60	j	j	PROPN
ejpam-6079	194	61	)	)	PUNCT
ejpam-6079	194	62	∈	∈	PROPN
ejpam-6079	194	63	ec1)∑∑	ec1)∑∑	X
ejpam-6079	194	64	(	(	PUNCT
ejpam-6079	194	65	s	s	X
ejpam-6079	194	66	,	,	PUNCT
ejpam-6079	194	67	t)∈s	t)∈s	ADJ
ejpam-6079	194	68	ft∗s∗∑∑	ft∗s∗∑∑	PROPN
ejpam-6079	194	69	(	(	PUNCT
ejpam-6079	194	70	s	s	PROPN
ejpam-6079	194	71	,	,	PUNCT
ejpam-6079	194	72	t)∈s	t)∈s	ADJ
ejpam-6079	194	73	fst	fst	NOUN
ejpam-6079	194	74	+	+	X
ejpam-6079	194	75	∑∑	∑∑	PROPN
ejpam-6079	194	76	(	(	PUNCT
ejpam-6079	194	77	s	s	NOUN
ejpam-6079	194	78	,	,	PUNCT
ejpam-6079	194	79	t)∈s	t)∈s	X
ejpam-6079	194	80	ft∗s∗	ft∗s∗	NUM
ejpam-6079	194	81	·	·	PUNCT
ejpam-6079	194	82	(	(	PUNCT
ejpam-6079	194	83	fij	fij	PROPN
ejpam-6079	194	84	+	+	CCONJ
ejpam-6079	194	85	fj∗i∗	fj∗i∗	NUM
ejpam-6079	194	86	)	)	PUNCT
ejpam-6079	194	87	(	(	PUNCT
ejpam-6079	194	88	(	(	PUNCT
ejpam-6079	194	89	i	i	PROPN
ejpam-6079	194	90	,	,	PUNCT
ejpam-6079	194	91	j	j	PROPN
ejpam-6079	194	92	)	)	PUNCT
ejpam-6079	194	93	∈	∈	PROPN
ejpam-6079	194	94	ec2	ec2	PROPN
ejpam-6079	194	95	)	)	PUNCT
ejpam-6079	194	96	.	.	PUNCT
ejpam-6079	195	1	(	(	PUNCT
ejpam-6079	195	2	2	2	X
ejpam-6079	195	3	)	)	PUNCT
ejpam-6079	195	4	êij	êij	NOUN
ejpam-6079	195	5	=	=	PUNCT
ejpam-6079	195	6			PROPN
ejpam-6079	196	1	∑∑	∑∑	PROPN
ejpam-6079	196	2	(	(	PUNCT
ejpam-6079	196	3	s	s	X
ejpam-6079	196	4	,	,	PUNCT
ejpam-6079	196	5	t)∈sij	t)∈sij	PRON
ejpam-6079	196	6	fst∑∑	fst∑∑	X
ejpam-6079	196	7	(	(	PUNCT
ejpam-6079	196	8	s	s	X
ejpam-6079	196	9	,	,	PUNCT
ejpam-6079	196	10	t)∈sij	t)∈sij	NOUN
ejpam-6079	196	11	fst	fst	NOUN
ejpam-6079	196	12	+	+	CCONJ
ejpam-6079	196	13	∑∑	∑∑	PROPN
ejpam-6079	196	14	(	(	PUNCT
ejpam-6079	196	15	s	s	X
ejpam-6079	196	16	,	,	PUNCT
ejpam-6079	196	17	t)∈sij	t)∈sij	NOUN
ejpam-6079	196	18	ft∗s∗	ft∗s∗	NUM
ejpam-6079	196	19	·	·	PUNCT
ejpam-6079	196	20	(	(	PUNCT
ejpam-6079	196	21	fij	fij	PROPN
ejpam-6079	196	22	+	+	CCONJ
ejpam-6079	196	23	fj∗i∗	fj∗i∗	NUM
ejpam-6079	196	24	)	)	PUNCT
ejpam-6079	196	25	(	(	PUNCT
ejpam-6079	196	26	(	(	PUNCT
ejpam-6079	196	27	i	i	PROPN
ejpam-6079	196	28	,	,	PUNCT
ejpam-6079	196	29	j	j	PROPN
ejpam-6079	196	30	)	)	PUNCT
ejpam-6079	196	31	∈	∈	PROPN
ejpam-6079	196	32	e	e	X
ejpam-6079	196	33	)	)	PUNCT
ejpam-6079	196	34	fij	fij	PROPN
ejpam-6079	196	35	(	(	PUNCT
ejpam-6079	196	36	(	(	PUNCT
ejpam-6079	196	37	i	i	PROPN
ejpam-6079	196	38	,	,	PUNCT
ejpam-6079	196	39	j	j	PROPN
ejpam-6079	196	40	)	)	PUNCT
ejpam-6079	196	41	∈	∈	PROPN
ejpam-6079	196	42	ec1)∑∑	ec1)∑∑	X
ejpam-6079	196	43	(	(	PUNCT
ejpam-6079	196	44	s	s	X
ejpam-6079	196	45	,	,	PUNCT
ejpam-6079	196	46	t)∈sij	t)∈sij	PRON
ejpam-6079	196	47	ft∗s∗∑∑	ft∗s∗∑∑	PROPN
ejpam-6079	196	48	(	(	PUNCT
ejpam-6079	196	49	s	s	X
ejpam-6079	196	50	,	,	PUNCT
ejpam-6079	196	51	t)∈sij	t)∈sij	PROPN
ejpam-6079	196	52	fst	fst	NOUN
ejpam-6079	196	53	+	+	CCONJ
ejpam-6079	196	54	∑∑	∑∑	PROPN
ejpam-6079	196	55	(	(	PUNCT
ejpam-6079	196	56	s	s	X
ejpam-6079	196	57	,	,	PUNCT
ejpam-6079	196	58	t)∈sij	t)∈sij	NOUN
ejpam-6079	196	59	ft∗s∗	ft∗s∗	NUM
ejpam-6079	196	60	·	·	PUNCT
ejpam-6079	196	61	(	(	PUNCT
ejpam-6079	196	62	fij	fij	PROPN
ejpam-6079	196	63	+	+	CCONJ
ejpam-6079	196	64	fj∗i∗	fj∗i∗	NUM
ejpam-6079	196	65	)	)	PUNCT
ejpam-6079	196	66	(	(	PUNCT
ejpam-6079	196	67	(	(	PUNCT
ejpam-6079	196	68	i	i	PROPN
ejpam-6079	196	69	,	,	PUNCT
ejpam-6079	196	70	j	j	PROPN
ejpam-6079	196	71	)	)	PUNCT
ejpam-6079	196	72	∈	∈	PROPN
ejpam-6079	196	73	ec2	ec2	PROPN
ejpam-6079	196	74	)	)	PUNCT
ejpam-6079	196	75	.	.	PUNCT
ejpam-6079	197	1	(	(	PUNCT
ejpam-6079	197	2	3	3	X
ejpam-6079	197	3	)	)	PUNCT
ejpam-6079	197	4	êij	êij	NOUN
ejpam-6079	197	5	=	=	PUNCT
ejpam-6079	197	6			PROPN
ejpam-6079	197	7	∑∑	∑∑	PROPN
ejpam-6079	197	8	(	(	PUNCT
ejpam-6079	197	9	s	s	NOUN
ejpam-6079	197	10	,	,	PUNCT
ejpam-6079	197	11	t)∈s	t)∈s	ADJ
ejpam-6079	197	12	fst	fst	NOUN
ejpam-6079	197	13	+	+	X
ejpam-6079	197	14	∑∑	∑∑	PROPN
ejpam-6079	197	15	(	(	PUNCT
ejpam-6079	197	16	s	s	NOUN
ejpam-6079	197	17	,	,	PUNCT
ejpam-6079	197	18	t)∈s	t)∈s	X
ejpam-6079	197	19	ft∗s∗	ft∗s∗	NUM
ejpam-6079	197	20	2	2	NUM
ejpam-6079	197	21	∑∑	∑∑	PROPN
ejpam-6079	197	22	(	(	PUNCT
ejpam-6079	197	23	s	s	NOUN
ejpam-6079	197	24	,	,	PUNCT
ejpam-6079	197	25	t)∈s	t)∈s	ADJ
ejpam-6079	197	26	fst	fst	NOUN
ejpam-6079	197	27	·	·	PUNCT
ejpam-6079	197	28	fij	fij	PROPN
ejpam-6079	197	29	(	(	PUNCT
ejpam-6079	197	30	(	(	PUNCT
ejpam-6079	197	31	i	i	PROPN
ejpam-6079	197	32	,	,	PUNCT
ejpam-6079	197	33	j	j	PROPN
ejpam-6079	197	34	)	)	PUNCT
ejpam-6079	197	35	∈	∈	PROPN
ejpam-6079	197	36	e	e	X
ejpam-6079	197	37	)	)	PUNCT
ejpam-6079	197	38	fij	fij	PROPN
ejpam-6079	197	39	(	(	PUNCT
ejpam-6079	197	40	(	(	PUNCT
ejpam-6079	197	41	i	i	PROPN
ejpam-6079	197	42	,	,	PUNCT
ejpam-6079	197	43	j	j	PROPN
ejpam-6079	197	44	)	)	PUNCT
ejpam-6079	197	45	∈	∈	PROPN
ejpam-6079	197	46	ec1)∑∑	ec1)∑∑	X
ejpam-6079	197	47	(	(	PUNCT
ejpam-6079	197	48	s	s	X
ejpam-6079	197	49	,	,	PUNCT
ejpam-6079	197	50	t)∈s	t)∈s	ADJ
ejpam-6079	197	51	fst	fst	NOUN
ejpam-6079	197	52	+	+	X
ejpam-6079	197	53	∑∑	∑∑	PROPN
ejpam-6079	197	54	(	(	PUNCT
ejpam-6079	197	55	s	s	NOUN
ejpam-6079	197	56	,	,	PUNCT
ejpam-6079	197	57	t)∈s	t)∈s	X
ejpam-6079	197	58	ft∗s∗	ft∗s∗	NUM
ejpam-6079	197	59	2	2	NUM
ejpam-6079	197	60	∑∑	∑∑	PROPN
ejpam-6079	197	61	(	(	PUNCT
ejpam-6079	197	62	s	s	NOUN
ejpam-6079	197	63	,	,	PUNCT
ejpam-6079	197	64	t)∈s	t)∈s	X
ejpam-6079	197	65	ft∗s∗	ft∗s∗	NUM
ejpam-6079	197	66	·	·	PUNCT
ejpam-6079	197	67	fij	fij	PROPN
ejpam-6079	197	68	(	(	PUNCT
ejpam-6079	197	69	(	(	PUNCT
ejpam-6079	197	70	i	i	PROPN
ejpam-6079	197	71	,	,	PUNCT
ejpam-6079	197	72	j	j	PROPN
ejpam-6079	197	73	)	)	PUNCT
ejpam-6079	197	74	∈	∈	PROPN
ejpam-6079	197	75	ec2	ec2	PROPN
ejpam-6079	197	76	)	)	PUNCT
ejpam-6079	197	77	.	.	PUNCT
ejpam-6079	198	1	(	(	PUNCT
ejpam-6079	198	2	4	4	X
ejpam-6079	198	3	)	)	PUNCT
ejpam-6079	198	4	êij	êij	NOUN
ejpam-6079	198	5	=	=	PUNCT
ejpam-6079	198	6			PROPN
ejpam-6079	198	7	∑∑	∑∑	PROPN
ejpam-6079	198	8	(	(	PUNCT
ejpam-6079	198	9	s	s	X
ejpam-6079	198	10	,	,	PUNCT
ejpam-6079	198	11	t)∈sij	t)∈sij	NOUN
ejpam-6079	198	12	fst	fst	NOUN
ejpam-6079	199	1	+	+	CCONJ
ejpam-6079	200	1	∑∑	∑∑	PROPN
ejpam-6079	200	2	(	(	PUNCT
ejpam-6079	200	3	s	s	X
ejpam-6079	200	4	,	,	PUNCT
ejpam-6079	200	5	t)∈sij	t)∈sij	NOUN
ejpam-6079	200	6	ft∗s∗	ft∗s∗	NUM
ejpam-6079	200	7	2	2	NUM
ejpam-6079	200	8	∑∑	∑∑	PROPN
ejpam-6079	200	9	(	(	PUNCT
ejpam-6079	200	10	s	s	X
ejpam-6079	200	11	,	,	PUNCT
ejpam-6079	200	12	t)∈sij	t)∈sij	PROPN
ejpam-6079	200	13	fst	fst	NOUN
ejpam-6079	200	14	·	·	PUNCT
ejpam-6079	200	15	fij	fij	PROPN
ejpam-6079	200	16	(	(	PUNCT
ejpam-6079	200	17	(	(	PUNCT
ejpam-6079	200	18	i	i	PROPN
ejpam-6079	200	19	,	,	PUNCT
ejpam-6079	200	20	j	j	PROPN
ejpam-6079	200	21	)	)	PUNCT
ejpam-6079	200	22	∈	∈	PROPN
ejpam-6079	200	23	e	e	X
ejpam-6079	200	24	)	)	PUNCT
ejpam-6079	200	25	fij	fij	PROPN
ejpam-6079	200	26	(	(	PUNCT
ejpam-6079	200	27	(	(	PUNCT
ejpam-6079	200	28	i	i	PROPN
ejpam-6079	200	29	,	,	PUNCT
ejpam-6079	200	30	j	j	PROPN
ejpam-6079	200	31	)	)	PUNCT
ejpam-6079	200	32	∈	∈	PROPN
ejpam-6079	200	33	ec1)∑∑	ec1)∑∑	X
ejpam-6079	200	34	(	(	PUNCT
ejpam-6079	200	35	s	s	X
ejpam-6079	200	36	,	,	PUNCT
ejpam-6079	200	37	t)∈sij	t)∈sij	PROPN
ejpam-6079	200	38	fst	fst	NOUN
ejpam-6079	200	39	+	+	CCONJ
ejpam-6079	200	40	∑∑	∑∑	PROPN
ejpam-6079	200	41	(	(	PUNCT
ejpam-6079	200	42	s	s	X
ejpam-6079	200	43	,	,	PUNCT
ejpam-6079	200	44	t)∈sij	t)∈sij	NOUN
ejpam-6079	200	45	ft∗s∗	ft∗s∗	NUM
ejpam-6079	200	46	2	2	NUM
ejpam-6079	200	47	∑∑	∑∑	PROPN
ejpam-6079	200	48	(	(	PUNCT
ejpam-6079	200	49	s	s	X
ejpam-6079	200	50	,	,	PUNCT
ejpam-6079	200	51	t)∈sij	t)∈sij	NOUN
ejpam-6079	200	52	ft∗s∗	ft∗s∗	NUM
ejpam-6079	200	53	·	·	PUNCT
ejpam-6079	200	54	fij	fij	PROPN
ejpam-6079	200	55	(	(	PUNCT
ejpam-6079	200	56	(	(	PUNCT
ejpam-6079	200	57	i	i	PROPN
ejpam-6079	200	58	,	,	PUNCT
ejpam-6079	200	59	j	j	PROPN
ejpam-6079	200	60	)	)	PUNCT
ejpam-6079	200	61	∈	∈	PROPN
ejpam-6079	200	62	ec2	ec2	PROPN
ejpam-6079	200	63	)	)	PUNCT
ejpam-6079	200	64	.	.	PUNCT
ejpam-6079	201	1	(	(	PUNCT
ejpam-6079	201	2	5	5	X
ejpam-6079	201	3	)	)	PUNCT
ejpam-6079	201	4	s.	s.	PROPN
ejpam-6079	201	5	ando	ando	PROPN
ejpam-6079	201	6	/	/	SYM
ejpam-6079	201	7	eur	eur	PROPN
ejpam-6079	201	8	.	.	PUNCT
ejpam-6079	202	1	j.	j.	PROPN
ejpam-6079	202	2	pure	pure	PROPN
ejpam-6079	202	3	appl	appl	PROPN
ejpam-6079	202	4	.	.	PROPN
ejpam-6079	202	5	math	math	PROPN
ejpam-6079	202	6	,	,	PUNCT
ejpam-6079	202	7	18	18	NUM
ejpam-6079	202	8	(	(	PUNCT
ejpam-6079	202	9	2	2	NUM
ejpam-6079	202	10	)	)	PUNCT
ejpam-6079	202	11	(	(	PUNCT
ejpam-6079	202	12	2025	2025	NUM
ejpam-6079	202	13	)	)	PUNCT
ejpam-6079	202	14	,	,	PUNCT
ejpam-6079	202	15	6079	6079	NUM
ejpam-6079	202	16	9	9	NUM
ejpam-6079	202	17	of	of	ADP
ejpam-6079	202	18	14	14	NUM
ejpam-6079	202	19	the	the	DET
ejpam-6079	202	20	test	test	NOUN
ejpam-6079	202	21	statistic	statistic	NOUN
ejpam-6079	202	22	g2	g2	PROPN
ejpam-6079	202	23	for	for	ADP
ejpam-6079	202	24	the	the	DET
ejpam-6079	202	25	concerned	concerned	ADJ
ejpam-6079	202	26	model	model	NOUN
ejpam-6079	202	27	c	c	PROPN
ejpam-6079	202	28	is	be	AUX
ejpam-6079	202	29	given	give	VERB
ejpam-6079	202	30	as	as	ADP
ejpam-6079	202	31	g2(c	g2(c	NOUN
ejpam-6079	202	32	)	)	PUNCT
ejpam-6079	202	33	=	=	SYM
ejpam-6079	202	34	2	2	NUM
ejpam-6079	202	35	r∑	r∑	NOUN
ejpam-6079	202	36	i=1	i=1	PRON
ejpam-6079	202	37	r∑	r∑	NOUN
ejpam-6079	202	38	j=1	j=1	PROPN
ejpam-6079	202	39	fij	fij	PROPN
ejpam-6079	202	40	log	log	PROPN
ejpam-6079	202	41	(	(	PUNCT
ejpam-6079	202	42	fij	fij	PROPN
ejpam-6079	202	43	êij	êij	NOUN
ejpam-6079	202	44	)	)	PUNCT
ejpam-6079	202	45	.	.	PUNCT
ejpam-6079	203	1	we	we	PRON
ejpam-6079	203	2	consider	consider	VERB
ejpam-6079	203	3	the	the	DET
ejpam-6079	203	4	situations	situation	NOUN
ejpam-6079	203	5	in	in	ADP
ejpam-6079	203	6	which	which	PRON
ejpam-6079	203	7	the	the	DET
ejpam-6079	203	8	model	model	NOUN
ejpam-6079	203	9	c1	c1	PROPN
ejpam-6079	203	10	holds	hold	VERB
ejpam-6079	203	11	if	if	SCONJ
ejpam-6079	203	12	and	and	CCONJ
ejpam-6079	203	13	only	only	ADV
ejpam-6079	203	14	if	if	SCONJ
ejpam-6079	203	15	the	the	DET
ejpam-6079	203	16	both	both	DET
ejpam-6079	203	17	models	model	VERB
ejpam-6079	203	18	c2	c2	PROPN
ejpam-6079	203	19	and	and	CCONJ
ejpam-6079	203	20	c3	c3	PROPN
ejpam-6079	203	21	concurrently	concurrently	ADV
ejpam-6079	203	22	hold	hold	VERB
ejpam-6079	203	23	,	,	PUNCT
ejpam-6079	203	24	and	and	CCONJ
ejpam-6079	203	25	the	the	DET
ejpam-6079	203	26	following	follow	VERB
ejpam-6079	203	27	equation	equation	NOUN
ejpam-6079	203	28	is	be	AUX
ejpam-6079	203	29	satisfied	satisfied	ADJ
ejpam-6079	203	30	:	:	PUNCT
ejpam-6079	203	31	g2(c1	g2(c1	NOUN
ejpam-6079	203	32	)	)	PUNCT
ejpam-6079	203	33	=	=	PUNCT
ejpam-6079	203	34	g2(c2	g2(c2	VERB
ejpam-6079	203	35	)	)	PUNCT
ejpam-6079	203	36	+	+	NOUN
ejpam-6079	203	37	g2(c3	g2(c3	NOUN
ejpam-6079	203	38	)	)	PUNCT
ejpam-6079	203	39	,	,	PUNCT
ejpam-6079	203	40	(	(	PUNCT
ejpam-6079	203	41	6	6	NUM
ejpam-6079	203	42	)	)	PUNCT
ejpam-6079	203	43	where	where	SCONJ
ejpam-6079	203	44	the	the	DET
ejpam-6079	203	45	number	number	NOUN
ejpam-6079	203	46	of	of	ADP
ejpam-6079	203	47	degrees	degree	NOUN
ejpam-6079	203	48	of	of	ADP
ejpam-6079	203	49	freedom	freedom	NOUN
ejpam-6079	203	50	(	(	PUNCT
ejpam-6079	203	51	df	df	NOUN
ejpam-6079	203	52	)	)	PUNCT
ejpam-6079	203	53	for	for	ADP
ejpam-6079	203	54	the	the	DET
ejpam-6079	203	55	model	model	NOUN
ejpam-6079	203	56	c1	c1	PROPN
ejpam-6079	203	57	is	be	AUX
ejpam-6079	203	58	equal	equal	ADJ
ejpam-6079	203	59	to	to	ADP
ejpam-6079	203	60	the	the	DET
ejpam-6079	203	61	sum	sum	NOUN
ejpam-6079	203	62	of	of	ADP
ejpam-6079	203	63	those	those	PRON
ejpam-6079	203	64	for	for	ADP
ejpam-6079	203	65	the	the	DET
ejpam-6079	203	66	models	model	NOUN
ejpam-6079	203	67	c2	c2	PROPN
ejpam-6079	203	68	and	and	CCONJ
ejpam-6079	203	69	c3	c3	PROPN
ejpam-6079	203	70	.	.	PUNCT
ejpam-6079	204	1	we	we	PRON
ejpam-6079	204	2	point	point	VERB
ejpam-6079	204	3	out	out	ADP
ejpam-6079	204	4	that	that	SCONJ
ejpam-6079	204	5	the	the	DET
ejpam-6079	204	6	likelihood	likelihood	NOUN
ejpam-6079	204	7	ratio	ratio	NOUN
ejpam-6079	204	8	chi	chi	NOUN
ejpam-6079	204	9	-	-	PUNCT
ejpam-6079	204	10	squared	square	VERB
ejpam-6079	204	11	statistic	statistic	NOUN
ejpam-6079	204	12	for	for	ADP
ejpam-6079	204	13	testing	test	VERB
ejpam-6079	204	14	goodness	goodness	NOUN
ejpam-6079	204	15	-	-	PUNCT
ejpam-6079	204	16	of	of	ADP
ejpam-6079	204	17	-	-	PUNCT
ejpam-6079	204	18	fit	fit	NOUN
ejpam-6079	204	19	of	of	ADP
ejpam-6079	204	20	the	the	DET
ejpam-6079	204	21	model	model	NOUN
ejpam-6079	204	22	c1	c1	PROPN
ejpam-6079	204	23	assuming	assume	VERB
ejpam-6079	204	24	that	that	SCONJ
ejpam-6079	204	25	the	the	DET
ejpam-6079	204	26	c2	c2	PROPN
ejpam-6079	204	27	model	model	NOUN
ejpam-6079	204	28	holds	hold	VERB
ejpam-6079	204	29	true	true	ADJ
ejpam-6079	204	30	,	,	PUNCT
ejpam-6079	204	31	is	be	AUX
ejpam-6079	204	32	g2(c1)−g2(c2	g2(c1)−g2(c2	VERB
ejpam-6079	204	33	)	)	PUNCT
ejpam-6079	204	34	and	and	CCONJ
ejpam-6079	204	35	this	this	PRON
ejpam-6079	204	36	is	be	AUX
ejpam-6079	204	37	equal	equal	ADJ
ejpam-6079	204	38	to	to	ADP
ejpam-6079	204	39	the	the	DET
ejpam-6079	204	40	likelihood	likelihood	NOUN
ejpam-6079	204	41	ratio	ratio	NOUN
ejpam-6079	204	42	chi	chi	ADJ
ejpam-6079	204	43	-	-	PUNCT
ejpam-6079	204	44	squared	square	VERB
ejpam-6079	204	45	statistic	statistic	NOUN
ejpam-6079	204	46	for	for	ADP
ejpam-6079	204	47	testing	test	VERB
ejpam-6079	204	48	goodness	goodness	NOUN
ejpam-6079	204	49	-	-	PUNCT
ejpam-6079	204	50	of	of	ADP
ejpam-6079	204	51	-	-	PUNCT
ejpam-6079	204	52	fit	fit	NOUN
ejpam-6079	204	53	of	of	ADP
ejpam-6079	204	54	the	the	DET
ejpam-6079	204	55	c3	c3	PROPN
ejpam-6079	204	56	model	model	NOUN
ejpam-6079	204	57	,	,	PUNCT
ejpam-6079	204	58	i.e.	i.e.	X
ejpam-6079	204	59	,	,	PUNCT
ejpam-6079	204	60	g2(c3	g2(c3	NOUN
ejpam-6079	204	61	)	)	PUNCT
ejpam-6079	204	62	.	.	PUNCT
ejpam-6079	205	1	the	the	DET
ejpam-6079	205	2	present	present	ADJ
ejpam-6079	205	3	study	study	NOUN
ejpam-6079	205	4	demonstrates	demonstrate	VERB
ejpam-6079	205	5	that	that	SCONJ
ejpam-6079	205	6	theorems	theorem	NOUN
ejpam-6079	205	7	1	1	NUM
ejpam-6079	205	8	and	and	CCONJ
ejpam-6079	205	9	2	2	NUM
ejpam-6079	205	10	satisfy	satisfy	VERB
ejpam-6079	205	11	the	the	DET
ejpam-6079	205	12	equation	equation	NOUN
ejpam-6079	205	13	(	(	PUNCT
ejpam-6079	205	14	6	6	NUM
ejpam-6079	205	15	)	)	PUNCT
ejpam-6079	205	16	.	.	PUNCT
ejpam-6079	206	1	the	the	DET
ejpam-6079	206	2	following	follow	VERB
ejpam-6079	206	3	theorem	theorem	NOUN
ejpam-6079	206	4	is	be	AUX
ejpam-6079	206	5	thus	thus	ADV
ejpam-6079	206	6	obtained	obtain	VERB
ejpam-6079	206	7	.	.	PUNCT
ejpam-6079	207	1	theorem	theorem	ADJ
ejpam-6079	207	2	3	3	NUM
ejpam-6079	207	3	.	.	PUNCT
ejpam-6079	207	4	g2(as	g2(as	NUM
ejpam-6079	207	5	)	)	PUNCT
ejpam-6079	207	6	=	=	SYM
ejpam-6079	207	7	g2(acs	g2(acs	PROPN
ejpam-6079	207	8	)	)	PUNCT
ejpam-6079	208	1	+	+	NUM
ejpam-6079	208	2	g2(ags	g2(ag	NOUN
ejpam-6079	208	3	)	)	PUNCT
ejpam-6079	208	4	.	.	PUNCT
ejpam-6079	209	1	proof	proof	NOUN
ejpam-6079	209	2	.	.	PUNCT
ejpam-6079	210	1	the	the	DET
ejpam-6079	210	2	êij	êij	NOUN
ejpam-6079	210	3	under	under	ADP
ejpam-6079	210	4	the	the	DET
ejpam-6079	210	5	as	as	ADP
ejpam-6079	210	6	,	,	PUNCT
ejpam-6079	210	7	acs	acs	PROPN
ejpam-6079	210	8	,	,	PUNCT
ejpam-6079	210	9	and	and	CCONJ
ejpam-6079	210	10	ags	ag	NOUN
ejpam-6079	210	11	models	model	NOUN
ejpam-6079	210	12	are	be	AUX
ejpam-6079	210	13	calculated	calculate	VERB
ejpam-6079	210	14	as	as	ADP
ejpam-6079	210	15	the	the	DET
ejpam-6079	210	16	equations	equation	NOUN
ejpam-6079	210	17	(	(	PUNCT
ejpam-6079	210	18	1	1	NUM
ejpam-6079	210	19	)	)	PUNCT
ejpam-6079	210	20	,	,	PUNCT
ejpam-6079	210	21	(	(	PUNCT
ejpam-6079	210	22	2	2	X
ejpam-6079	210	23	)	)	PUNCT
ejpam-6079	210	24	and	and	CCONJ
ejpam-6079	210	25	(	(	PUNCT
ejpam-6079	210	26	4	4	NUM
ejpam-6079	210	27	)	)	PUNCT
ejpam-6079	210	28	,	,	PUNCT
ejpam-6079	210	29	respectively	respectively	ADV
ejpam-6079	210	30	.	.	PUNCT
ejpam-6079	211	1	let	let	VERB
ejpam-6079	211	2	notate	notate	VERB
ejpam-6079	211	3	êij	êij	NOUN
ejpam-6079	211	4	under	under	ADP
ejpam-6079	211	5	the	the	DET
ejpam-6079	211	6	model	model	NOUN
ejpam-6079	211	7	m	m	VERB
ejpam-6079	211	8	as	as	ADP
ejpam-6079	211	9	êij(m	êij(m	PROPN
ejpam-6079	211	10	)	)	PUNCT
ejpam-6079	211	11	.	.	PUNCT
ejpam-6079	212	1	the	the	DET
ejpam-6079	212	2	product	product	NOUN
ejpam-6079	212	3	of	of	ADP
ejpam-6079	212	4	fij	fij	PROPN
ejpam-6079	212	5	/	/	SYM
ejpam-6079	212	6	êij(acs	êij(ac	NOUN
ejpam-6079	212	7	)	)	PUNCT
ejpam-6079	212	8	and	and	CCONJ
ejpam-6079	212	9	fij	fij	PROPN
ejpam-6079	212	10	/	/	SYM
ejpam-6079	212	11	êij(ags	êij(ag	NOUN
ejpam-6079	212	12	)	)	PUNCT
ejpam-6079	212	13	is	be	AUX
ejpam-6079	212	14	expressed	express	VERB
ejpam-6079	212	15	as	as	SCONJ
ejpam-6079	212	16	follows	follow	VERB
ejpam-6079	212	17	.	.	PUNCT
ejpam-6079	213	1	fij	fij	PROPN
ejpam-6079	213	2	êij(acs	êij(acs	PROPN
ejpam-6079	213	3	)	)	PUNCT
ejpam-6079	213	4	·	·	PUNCT
ejpam-6079	214	1	fij	fij	PROPN
ejpam-6079	214	2	êij(ags	êij(ag	VERB
ejpam-6079	214	3	)	)	PUNCT
ejpam-6079	214	4	=	=	PUNCT
ejpam-6079	214	5			PROPN
ejpam-6079	214	6	2fij	2fij	NUM
ejpam-6079	214	7	fij	fij	PROPN
ejpam-6079	214	8	+	+	CCONJ
ejpam-6079	214	9	fj∗i∗	fj∗i∗	PROPN
ejpam-6079	214	10	(	(	PUNCT
ejpam-6079	214	11	(	(	PUNCT
ejpam-6079	214	12	i	i	PROPN
ejpam-6079	214	13	,	,	PUNCT
ejpam-6079	214	14	j	j	PROPN
ejpam-6079	214	15	)	)	PUNCT
ejpam-6079	214	16	∈	∈	PROPN
ejpam-6079	214	17	e	e	X
ejpam-6079	214	18	)	)	PUNCT
ejpam-6079	214	19	1	1	NUM
ejpam-6079	214	20	(	(	PUNCT
ejpam-6079	214	21	(	(	PUNCT
ejpam-6079	214	22	i	i	PROPN
ejpam-6079	214	23	,	,	PUNCT
ejpam-6079	214	24	j	j	PROPN
ejpam-6079	214	25	)	)	PUNCT
ejpam-6079	214	26	∈	∈	PROPN
ejpam-6079	214	27	ec1	ec1	PROPN
ejpam-6079	214	28	)	)	PUNCT
ejpam-6079	214	29	2fij	2fij	PROPN
ejpam-6079	214	30	fij	fij	PROPN
ejpam-6079	215	1	+	+	CCONJ
ejpam-6079	215	2	fj∗i∗	fj∗i∗	PROPN
ejpam-6079	215	3	(	(	PUNCT
ejpam-6079	215	4	(	(	PUNCT
ejpam-6079	215	5	i	i	PROPN
ejpam-6079	215	6	,	,	PUNCT
ejpam-6079	215	7	j	j	PROPN
ejpam-6079	215	8	)	)	PUNCT
ejpam-6079	215	9	∈	∈	PROPN
ejpam-6079	215	10	ec2	ec2	PROPN
ejpam-6079	215	11	)	)	PUNCT
ejpam-6079	215	12	.	.	PUNCT
ejpam-6079	216	1	therefore	therefore	ADV
ejpam-6079	216	2	,	,	PUNCT
ejpam-6079	216	3	the	the	DET
ejpam-6079	216	4	product	product	NOUN
ejpam-6079	216	5	of	of	ADP
ejpam-6079	216	6	fij	fij	PROPN
ejpam-6079	216	7	/	/	SYM
ejpam-6079	216	8	êij(acs	êij(ac	NOUN
ejpam-6079	216	9	)	)	PUNCT
ejpam-6079	216	10	and	and	CCONJ
ejpam-6079	216	11	fij	fij	PROPN
ejpam-6079	216	12	/	/	SYM
ejpam-6079	216	13	êij(ags	êij(ag	NOUN
ejpam-6079	216	14	)	)	PUNCT
ejpam-6079	216	15	is	be	AUX
ejpam-6079	216	16	equal	equal	ADJ
ejpam-6079	216	17	to	to	ADP
ejpam-6079	216	18	the	the	DET
ejpam-6079	216	19	fij	fij	PROPN
ejpam-6079	216	20	/	/	SYM
ejpam-6079	216	21	êij(as	êij(as	PROPN
ejpam-6079	216	22	)	)	PUNCT
ejpam-6079	216	23	.	.	PUNCT
ejpam-6079	217	1	the	the	DET
ejpam-6079	217	2	proof	proof	NOUN
ejpam-6079	217	3	is	be	AUX
ejpam-6079	217	4	completed	complete	VERB
ejpam-6079	217	5	.	.	PUNCT
ejpam-6079	218	1	similarly	similarly	ADV
ejpam-6079	218	2	,	,	PUNCT
ejpam-6079	218	3	as	as	ADP
ejpam-6079	218	4	with	with	ADP
ejpam-6079	218	5	theorem	theorem	NOUN
ejpam-6079	218	6	3	3	NUM
ejpam-6079	218	7	,	,	PUNCT
ejpam-6079	218	8	the	the	DET
ejpam-6079	218	9	following	follow	VERB
ejpam-6079	218	10	theorem	theorem	NOUN
ejpam-6079	218	11	is	be	AUX
ejpam-6079	218	12	derived	derive	VERB
ejpam-6079	218	13	.	.	PUNCT
ejpam-6079	219	1	theorem	theorem	VERB
ejpam-6079	219	2	4	4	NUM
ejpam-6079	219	3	.	.	PUNCT
ejpam-6079	219	4	g2(as	g2(as	NUM
ejpam-6079	219	5	)	)	PUNCT
ejpam-6079	219	6	=	=	SYM
ejpam-6079	219	7	g2(adps	g2(adps	NOUN
ejpam-6079	219	8	)	)	PUNCT
ejpam-6079	220	1	+	+	NOUN
ejpam-6079	220	2	g2(ass	g2(ass	NOUN
ejpam-6079	220	3	)	)	PUNCT
ejpam-6079	220	4	.	.	PUNCT
ejpam-6079	221	1	the	the	DET
ejpam-6079	221	2	anti	anti	ADJ
ejpam-6079	221	3	-	-	ADJ
ejpam-6079	221	4	conditional	conditional	ADJ
ejpam-6079	221	5	sum	sum	NOUN
ejpam-6079	221	6	-	-	PUNCT
ejpam-6079	221	7	symmetry	symmetry	NOUN
ejpam-6079	221	8	(	(	PUNCT
ejpam-6079	221	9	acss	acss	ADJ
ejpam-6079	221	10	)	)	PUNCT
ejpam-6079	221	11	model	model	NOUN
ejpam-6079	221	12	[	[	X
ejpam-6079	221	13	9	9	NUM
ejpam-6079	221	14	,	,	PUNCT
ejpam-6079	221	15	10	10	NUM
ejpam-6079	221	16	]	]	PUNCT
ejpam-6079	221	17	is	be	AUX
ejpam-6079	221	18	defined	define	VERB
ejpam-6079	221	19	by	by	ADP
ejpam-6079	221	20	the	the	DET
ejpam-6079	221	21	following	follow	VERB
ejpam-6079	221	22	equation	equation	NOUN
ejpam-6079	221	23	:	:	PUNCT
ejpam-6079	221	24	∑∑	∑∑	PROPN
ejpam-6079	221	25	(	(	PUNCT
ejpam-6079	221	26	i	i	PRON
ejpam-6079	221	27	,	,	PUNCT
ejpam-6079	221	28	j)∈ed	j)∈ed	PROPN
ejpam-6079	221	29	πij	πij	NOUN
ejpam-6079	221	30	=	=	SYM
ejpam-6079	221	31	δ	δ	PROPN
ejpam-6079	221	32	∑∑	∑∑	PROPN
ejpam-6079	221	33	(	(	PUNCT
ejpam-6079	221	34	i	i	PRON
ejpam-6079	221	35	,	,	PUNCT
ejpam-6079	221	36	j)∈ed	j)∈ed	PROPN
ejpam-6079	221	37	πj∗i∗	πj∗i∗	NUM
ejpam-6079	221	38	(	(	PUNCT
ejpam-6079	221	39	d	d	NOUN
ejpam-6079	221	40	=	=	SYM
ejpam-6079	221	41	2	2	NUM
ejpam-6079	221	42	,	,	PUNCT
ejpam-6079	221	43	.	.	PUNCT
ejpam-6079	221	44	.	.	PUNCT
ejpam-6079	222	1	.	.	PUNCT
ejpam-6079	223	1	,	,	PUNCT
ejpam-6079	223	2	r	r	NOUN
ejpam-6079	223	3	)	)	PUNCT
ejpam-6079	223	4	.	.	PUNCT
ejpam-6079	224	1	s.	s.	PROPN
ejpam-6079	224	2	ando	ando	PROPN
ejpam-6079	224	3	/	/	SYM
ejpam-6079	224	4	eur	eur	PROPN
ejpam-6079	224	5	.	.	PUNCT
ejpam-6079	225	1	j.	j.	PROPN
ejpam-6079	225	2	pure	pure	PROPN
ejpam-6079	225	3	appl	appl	PROPN
ejpam-6079	225	4	.	.	PROPN
ejpam-6079	225	5	math	math	PROPN
ejpam-6079	225	6	,	,	PUNCT
ejpam-6079	225	7	18	18	NUM
ejpam-6079	225	8	(	(	PUNCT
ejpam-6079	225	9	2	2	NUM
ejpam-6079	225	10	)	)	PUNCT
ejpam-6079	225	11	(	(	PUNCT
ejpam-6079	225	12	2025	2025	NUM
ejpam-6079	225	13	)	)	PUNCT
ejpam-6079	225	14	,	,	PUNCT
ejpam-6079	225	15	6079	6079	NUM
ejpam-6079	225	16	10	10	NUM
ejpam-6079	225	17	of	of	ADP
ejpam-6079	225	18	14	14	NUM
ejpam-6079	225	19	ando	ando	PROPN
ejpam-6079	226	1	[	[	X
ejpam-6079	226	2	9	9	NUM
ejpam-6079	226	3	]	]	PUNCT
ejpam-6079	226	4	gave	give	VERB
ejpam-6079	226	5	the	the	DET
ejpam-6079	226	6	theorems	theorem	NOUN
ejpam-6079	226	7	that	that	SCONJ
ejpam-6079	226	8	the	the	DET
ejpam-6079	226	9	ass	ass	NOUN
ejpam-6079	226	10	model	model	NOUN
ejpam-6079	226	11	holds	hold	VERB
ejpam-6079	226	12	if	if	SCONJ
ejpam-6079	226	13	and	and	CCONJ
ejpam-6079	226	14	only	only	ADV
ejpam-6079	226	15	if	if	SCONJ
ejpam-6079	226	16	the	the	DET
ejpam-6079	226	17	acss	acss	ADJ
ejpam-6079	226	18	and	and	CCONJ
ejpam-6079	226	19	ags	ag	NOUN
ejpam-6079	226	20	models	model	NOUN
ejpam-6079	226	21	concurrently	concurrently	ADV
ejpam-6079	226	22	hold	hold	VERB
ejpam-6079	226	23	.	.	PUNCT
ejpam-6079	227	1	additionally	additionally	ADV
ejpam-6079	227	2	,	,	PUNCT
ejpam-6079	227	3	ando	ando	X
ejpam-6079	227	4	[	[	X
ejpam-6079	227	5	9	9	NUM
ejpam-6079	227	6	]	]	PUNCT
ejpam-6079	227	7	proposed	propose	VERB
ejpam-6079	227	8	a	a	DET
ejpam-6079	227	9	novel	novel	ADJ
ejpam-6079	227	10	approach	approach	NOUN
ejpam-6079	227	11	to	to	ADP
ejpam-6079	227	12	separating	separate	VERB
ejpam-6079	227	13	the	the	DET
ejpam-6079	227	14	test	test	NOUN
ejpam-6079	227	15	statistic	statistic	NOUN
ejpam-6079	227	16	for	for	ADP
ejpam-6079	227	17	the	the	DET
ejpam-6079	227	18	ass	ass	NOUN
ejpam-6079	227	19	model	model	NOUN
ejpam-6079	227	20	:	:	PUNCT
ejpam-6079	227	21	g2(ass	g2(ass	NOUN
ejpam-6079	227	22	)	)	PUNCT
ejpam-6079	227	23	=	=	SYM
ejpam-6079	227	24	g2(acss	g2(acss	PROPN
ejpam-6079	227	25	)	)	PUNCT
ejpam-6079	228	1	+	+	ADJ
ejpam-6079	228	2	g2(ags	g2(ag	NOUN
ejpam-6079	228	3	)	)	PUNCT
ejpam-6079	228	4	.	.	PUNCT
ejpam-6079	229	1	in	in	ADP
ejpam-6079	229	2	consequence	consequence	NOUN
ejpam-6079	229	3	,	,	PUNCT
ejpam-6079	229	4	the	the	DET
ejpam-6079	229	5	following	follow	VERB
ejpam-6079	229	6	theorem	theorem	NOUN
ejpam-6079	229	7	is	be	AUX
ejpam-6079	229	8	derived	derive	VERB
ejpam-6079	229	9	.	.	PUNCT
ejpam-6079	230	1	theorem	theorem	NOUN
ejpam-6079	230	2	5	5	NUM
ejpam-6079	230	3	.	.	PUNCT
ejpam-6079	231	1	the	the	DET
ejpam-6079	231	2	as	as	SCONJ
ejpam-6079	231	3	model	model	NOUN
ejpam-6079	231	4	holds	hold	VERB
ejpam-6079	231	5	if	if	SCONJ
ejpam-6079	231	6	and	and	CCONJ
ejpam-6079	231	7	only	only	ADV
ejpam-6079	231	8	if	if	SCONJ
ejpam-6079	231	9	all	all	DET
ejpam-6079	231	10	the	the	DET
ejpam-6079	231	11	adps	adps	NOUN
ejpam-6079	231	12	,	,	PUNCT
ejpam-6079	231	13	acss	acs	VERB
ejpam-6079	231	14	and	and	CCONJ
ejpam-6079	231	15	ags	ag	NOUN
ejpam-6079	231	16	models	model	NOUN
ejpam-6079	231	17	hold	hold	VERB
ejpam-6079	231	18	.	.	PUNCT
ejpam-6079	232	1	additionally	additionally	ADV
ejpam-6079	232	2	,	,	PUNCT
ejpam-6079	232	3	the	the	DET
ejpam-6079	232	4	following	follow	VERB
ejpam-6079	232	5	separation	separation	NOUN
ejpam-6079	232	6	of	of	ADP
ejpam-6079	232	7	the	the	DET
ejpam-6079	232	8	test	test	NOUN
ejpam-6079	232	9	statistic	statistic	NOUN
ejpam-6079	232	10	for	for	ADP
ejpam-6079	232	11	the	the	PRON
ejpam-6079	232	12	as	as	ADP
ejpam-6079	232	13	model	model	NOUN
ejpam-6079	232	14	:	:	PUNCT
ejpam-6079	232	15	g2(as	g2(as	NUM
ejpam-6079	232	16	)	)	PUNCT
ejpam-6079	232	17	=	=	SYM
ejpam-6079	232	18	g2(adps	g2(adps	NOUN
ejpam-6079	232	19	)	)	PUNCT
ejpam-6079	232	20	+	+	NOUN
ejpam-6079	232	21	g2(acss	g2(acss	NOUN
ejpam-6079	232	22	)	)	PUNCT
ejpam-6079	233	1	+	+	ADJ
ejpam-6079	233	2	g2(ags	g2(ag	NOUN
ejpam-6079	233	3	)	)	PUNCT
ejpam-6079	233	4	.	.	PUNCT
ejpam-6079	234	1	we	we	PRON
ejpam-6079	234	2	will	will	AUX
ejpam-6079	234	3	present	present	VERB
ejpam-6079	234	4	the	the	DET
ejpam-6079	234	5	following	follow	VERB
ejpam-6079	234	6	theorem	theorem	NOUN
ejpam-6079	234	7	that	that	PRON
ejpam-6079	234	8	can	can	AUX
ejpam-6079	234	9	be	be	AUX
ejpam-6079	234	10	derived	derive	VERB
ejpam-6079	234	11	from	from	ADP
ejpam-6079	234	12	theorems	theorem	NOUN
ejpam-6079	234	13	1	1	NUM
ejpam-6079	234	14	to	to	PART
ejpam-6079	234	15	5	5	NUM
ejpam-6079	234	16	.	.	PUNCT
ejpam-6079	234	17	theorem	theorem	VERB
ejpam-6079	234	18	6	6	NUM
ejpam-6079	234	19	.	.	PUNCT
ejpam-6079	235	1	the	the	DET
ejpam-6079	235	2	acs	acs	PROPN
ejpam-6079	235	3	model	model	NOUN
ejpam-6079	235	4	holds	hold	VERB
ejpam-6079	235	5	if	if	SCONJ
ejpam-6079	235	6	and	and	CCONJ
ejpam-6079	235	7	only	only	ADV
ejpam-6079	235	8	if	if	SCONJ
ejpam-6079	235	9	both	both	CCONJ
ejpam-6079	235	10	the	the	DET
ejpam-6079	235	11	adps	adps	NOUN
ejpam-6079	235	12	and	and	CCONJ
ejpam-6079	235	13	acss	acss	ADJ
ejpam-6079	235	14	models	model	NOUN
ejpam-6079	235	15	concurrently	concurrently	ADV
ejpam-6079	235	16	hold	hold	VERB
ejpam-6079	235	17	.	.	PUNCT
ejpam-6079	236	1	additionally	additionally	ADV
ejpam-6079	236	2	,	,	PUNCT
ejpam-6079	236	3	the	the	DET
ejpam-6079	236	4	following	follow	VERB
ejpam-6079	236	5	separation	separation	NOUN
ejpam-6079	236	6	of	of	ADP
ejpam-6079	236	7	the	the	DET
ejpam-6079	236	8	test	test	NOUN
ejpam-6079	236	9	statistic	statistic	NOUN
ejpam-6079	236	10	for	for	ADP
ejpam-6079	236	11	the	the	DET
ejpam-6079	236	12	acs	acs	PROPN
ejpam-6079	236	13	model	model	NOUN
ejpam-6079	236	14	:	:	PUNCT
ejpam-6079	236	15	g2(acs	g2(acs	X
ejpam-6079	236	16	)	)	PUNCT
ejpam-6079	236	17	=	=	SYM
ejpam-6079	236	18	g2(adps	g2(adps	NOUN
ejpam-6079	236	19	)	)	PUNCT
ejpam-6079	236	20	+	+	NOUN
ejpam-6079	236	21	g2(acss	g2(acss	NOUN
ejpam-6079	236	22	)	)	PUNCT
ejpam-6079	236	23	.	.	PUNCT
ejpam-6079	237	1	table	table	NOUN
ejpam-6079	237	2	3	3	NUM
ejpam-6079	237	3	shows	show	VERB
ejpam-6079	237	4	the	the	DET
ejpam-6079	237	5	number	number	NOUN
ejpam-6079	237	6	of	of	ADP
ejpam-6079	237	7	df	df	NOUN
ejpam-6079	237	8	for	for	ADP
ejpam-6079	237	9	testing	test	VERB
ejpam-6079	237	10	goodness	goodness	NOUN
ejpam-6079	237	11	-	-	PUNCT
ejpam-6079	237	12	of	of	ADP
ejpam-6079	237	13	-	-	PUNCT
ejpam-6079	237	14	fit	fit	NOUN
ejpam-6079	237	15	for	for	ADP
ejpam-6079	237	16	each	each	DET
ejpam-6079	237	17	model	model	NOUN
ejpam-6079	237	18	.	.	PUNCT
ejpam-6079	238	1	it	it	PRON
ejpam-6079	238	2	must	must	AUX
ejpam-6079	238	3	be	be	AUX
ejpam-6079	238	4	noted	note	VERB
ejpam-6079	238	5	that	that	SCONJ
ejpam-6079	238	6	the	the	DET
ejpam-6079	238	7	number	number	NOUN
ejpam-6079	238	8	of	of	ADP
ejpam-6079	238	9	df	df	NOUN
ejpam-6079	238	10	for	for	ADP
ejpam-6079	238	11	testing	test	VERB
ejpam-6079	238	12	goodness	goodness	NOUN
ejpam-6079	238	13	-	-	PUNCT
ejpam-6079	238	14	of	of	ADP
ejpam-6079	238	15	-	-	PUNCT
ejpam-6079	238	16	fit	fit	NOUN
ejpam-6079	238	17	of	of	ADP
ejpam-6079	238	18	the	the	DET
ejpam-6079	238	19	separation	separation	NOUN
ejpam-6079	238	20	source	source	NOUN
ejpam-6079	238	21	model	model	NOUN
ejpam-6079	238	22	is	be	AUX
ejpam-6079	238	23	equal	equal	ADJ
ejpam-6079	238	24	to	to	ADP
ejpam-6079	238	25	the	the	DET
ejpam-6079	238	26	sum	sum	NOUN
ejpam-6079	238	27	of	of	ADP
ejpam-6079	238	28	number	number	NOUN
ejpam-6079	238	29	of	of	ADP
ejpam-6079	238	30	df	df	NOUN
ejpam-6079	238	31	for	for	ADP
ejpam-6079	238	32	testing	test	VERB
ejpam-6079	238	33	goodness	goodness	NOUN
ejpam-6079	238	34	-	-	PUNCT
ejpam-6079	238	35	of	of	ADP
ejpam-6079	238	36	-	-	PUNCT
ejpam-6079	238	37	fit	fit	NOUN
ejpam-6079	238	38	of	of	ADP
ejpam-6079	238	39	the	the	DET
ejpam-6079	238	40	decomposed	decompose	VERB
ejpam-6079	238	41	models	model	NOUN
ejpam-6079	238	42	.	.	PUNCT
ejpam-6079	239	1	table	table	NOUN
ejpam-6079	239	2	3	3	NUM
ejpam-6079	239	3	:	:	PUNCT
ejpam-6079	239	4	the	the	DET
ejpam-6079	239	5	number	number	NOUN
ejpam-6079	239	6	of	of	ADP
ejpam-6079	239	7	degrees	degree	NOUN
ejpam-6079	239	8	of	of	ADP
ejpam-6079	239	9	freedom	freedom	NOUN
ejpam-6079	239	10	for	for	ADP
ejpam-6079	239	11	testing	test	VERB
ejpam-6079	239	12	goodness	goodness	NOUN
ejpam-6079	239	13	-	-	PUNCT
ejpam-6079	239	14	of	of	ADP
ejpam-6079	239	15	-	-	PUNCT
ejpam-6079	239	16	fit	fit	NOUN
ejpam-6079	239	17	for	for	ADP
ejpam-6079	239	18	each	each	DET
ejpam-6079	239	19	model	model	NOUN
ejpam-6079	239	20	models	model	NOUN
ejpam-6079	239	21	degrees	degree	NOUN
ejpam-6079	239	22	of	of	ADP
ejpam-6079	239	23	freedom	freedom	NOUN
ejpam-6079	239	24	as	as	ADP
ejpam-6079	239	25	r(r−	r(r−	PROPN
ejpam-6079	239	26	1)/2	1)/2	NUM
ejpam-6079	239	27	acs	acs	PROPN
ejpam-6079	239	28	(	(	PUNCT
ejpam-6079	239	29	r+	r+	VERB
ejpam-6079	239	30	1)(r−	1)(r−	NUM
ejpam-6079	239	31	2)/2	2)/2	NUM
ejpam-6079	239	32	adps	adps	NOUN
ejpam-6079	239	33	(	(	PUNCT
ejpam-6079	239	34	r−	r−	PROPN
ejpam-6079	239	35	1)(r−	1)(r−	PROPN
ejpam-6079	239	36	2)/2	2)/2	NUM
ejpam-6079	239	37	ags	ag	NOUN
ejpam-6079	239	38	1	1	NUM
ejpam-6079	239	39	ass	ass	NOUN
ejpam-6079	239	40	r−	r−	PROPN
ejpam-6079	239	41	1	1	NUM
ejpam-6079	239	42	acss	acss	ADJ
ejpam-6079	239	43	r−	r−	PROPN
ejpam-6079	239	44	2	2	NUM
ejpam-6079	239	45	when	when	SCONJ
ejpam-6079	239	46	the	the	DET
ejpam-6079	239	47	models	model	NOUN
ejpam-6079	239	48	m1	m1	PROPN
ejpam-6079	239	49	and	and	CCONJ
ejpam-6079	239	50	m2	m2	PROPN
ejpam-6079	239	51	are	be	AUX
ejpam-6079	239	52	nested	nest	VERB
ejpam-6079	239	53	(	(	PUNCT
ejpam-6079	239	54	i.e.	i.e.	X
ejpam-6079	239	55	,	,	PUNCT
ejpam-6079	239	56	the	the	DET
ejpam-6079	239	57	model	model	NOUN
ejpam-6079	239	58	m1	m1	PROPN
ejpam-6079	239	59	is	be	AUX
ejpam-6079	239	60	more	more	ADV
ejpam-6079	239	61	parsimonious	parsimonious	ADJ
ejpam-6079	239	62	than	than	ADP
ejpam-6079	239	63	the	the	DET
ejpam-6079	239	64	model	model	NOUN
ejpam-6079	239	65	m2	m2	PROPN
ejpam-6079	239	66	)	)	PUNCT
ejpam-6079	239	67	,	,	PUNCT
ejpam-6079	239	68	for	for	ADP
ejpam-6079	239	69	testing	test	VERB
ejpam-6079	239	70	that	that	PRON
ejpam-6079	239	71	the	the	DET
ejpam-6079	239	72	model	model	NOUN
ejpam-6079	239	73	m1	m1	PROPN
ejpam-6079	239	74	holds	hold	VERB
ejpam-6079	239	75	assuming	assume	VERB
ejpam-6079	239	76	that	that	SCONJ
ejpam-6079	239	77	the	the	DET
ejpam-6079	239	78	model	model	NOUN
ejpam-6079	239	79	m2	m2	PROPN
ejpam-6079	239	80	model	model	PROPN
ejpam-6079	239	81	holds	hold	VERB
ejpam-6079	239	82	true	true	ADJ
ejpam-6079	239	83	,	,	PUNCT
ejpam-6079	239	84	the	the	DET
ejpam-6079	239	85	likelihood	likelihood	NOUN
ejpam-6079	239	86	ratio	ratio	NOUN
ejpam-6079	239	87	statistics	statistic	NOUN
ejpam-6079	239	88	is	be	AUX
ejpam-6079	239	89	given	give	VERB
ejpam-6079	239	90	as	as	ADP
ejpam-6079	239	91	g2(m1	g2(m1	NOUN
ejpam-6079	239	92	|	|	ADV
ejpam-6079	239	93	m2	m2	PROPN
ejpam-6079	239	94	)	)	PUNCT
ejpam-6079	239	95	=	=	PUNCT
ejpam-6079	239	96	g2(m1)−g2(m2	g2(m1)−g2(m2	NOUN
ejpam-6079	239	97	)	)	PUNCT
ejpam-6079	239	98	.	.	PUNCT
ejpam-6079	240	1	under	under	ADP
ejpam-6079	240	2	the	the	DET
ejpam-6079	240	3	null	null	ADJ
ejpam-6079	240	4	hypothesis	hypothesis	NOUN
ejpam-6079	240	5	,	,	PUNCT
ejpam-6079	240	6	the	the	DET
ejpam-6079	240	7	statistics	statistic	NOUN
ejpam-6079	240	8	g2(m1	g2(m1	VERB
ejpam-6079	240	9	|	|	ADV
ejpam-6079	240	10	m2	m2	PROPN
ejpam-6079	240	11	)	)	PUNCT
ejpam-6079	240	12	has	have	VERB
ejpam-6079	240	13	an	an	DET
ejpam-6079	240	14	asymptotic	asymptotic	ADJ
ejpam-6079	240	15	chi	chi	ADJ
ejpam-6079	240	16	-	-	PUNCT
ejpam-6079	240	17	squared	square	VERB
ejpam-6079	240	18	distribution	distribution	NOUN
ejpam-6079	240	19	with	with	ADP
ejpam-6079	240	20	the	the	DET
ejpam-6079	240	21	number	number	NOUN
ejpam-6079	240	22	of	of	ADP
ejpam-6079	240	23	degrees	degree	NOUN
ejpam-6079	240	24	of	of	ADP
ejpam-6079	240	25	freedom	freedom	NOUN
ejpam-6079	240	26	that	that	PRON
ejpam-6079	240	27	is	be	AUX
ejpam-6079	240	28	equal	equal	ADJ
ejpam-6079	240	29	to	to	ADP
ejpam-6079	240	30	the	the	DET
ejpam-6079	240	31	difference	difference	NOUN
ejpam-6079	240	32	between	between	ADP
ejpam-6079	240	33	the	the	DET
ejpam-6079	240	34	number	number	NOUN
ejpam-6079	240	35	of	of	ADP
ejpam-6079	240	36	degrees	degree	NOUN
ejpam-6079	240	37	of	of	ADP
ejpam-6079	240	38	freedom	freedom	NOUN
ejpam-6079	240	39	for	for	ADP
ejpam-6079	240	40	the	the	DET
ejpam-6079	240	41	models	model	NOUN
ejpam-6079	240	42	m1	m1	PROPN
ejpam-6079	240	43	and	and	CCONJ
ejpam-6079	240	44	m2	m2	PROPN
ejpam-6079	240	45	,	,	PUNCT
ejpam-6079	240	46	see	see	VERB
ejpam-6079	240	47	,	,	PUNCT
ejpam-6079	240	48	for	for	ADP
ejpam-6079	240	49	example	example	NOUN
ejpam-6079	240	50	,	,	PUNCT
ejpam-6079	240	51	agresti	agresti	NOUN
ejpam-6079	241	1	[	[	X
ejpam-6079	241	2	17	17	NUM
ejpam-6079	241	3	,	,	PUNCT
ejpam-6079	241	4	sec	sec	PROPN
ejpam-6079	241	5	3.4.4	3.4.4	NUM
ejpam-6079	241	6	]	]	PUNCT
ejpam-6079	241	7	.	.	PUNCT
ejpam-6079	242	1	when	when	SCONJ
ejpam-6079	242	2	the	the	DET
ejpam-6079	242	3	models	model	NOUN
ejpam-6079	242	4	m1	m1	PROPN
ejpam-6079	242	5	and	and	CCONJ
ejpam-6079	242	6	m2	m2	PROPN
ejpam-6079	242	7	are	be	AUX
ejpam-6079	242	8	not	not	PART
ejpam-6079	242	9	nested	nest	VERB
ejpam-6079	242	10	.	.	PUNCT
ejpam-6079	243	1	the	the	DET
ejpam-6079	243	2	test	test	NOUN
ejpam-6079	243	3	statistics	statistic	NOUN
ejpam-6079	243	4	g2(m1	g2(m1	NOUN
ejpam-6079	243	5	|	|	ADV
ejpam-6079	243	6	m2	m2	PROPN
ejpam-6079	243	7	)	)	PUNCT
ejpam-6079	243	8	can	can	AUX
ejpam-6079	243	9	not	not	PART
ejpam-6079	243	10	be	be	AUX
ejpam-6079	243	11	used	use	VERB
ejpam-6079	243	12	to	to	PART
ejpam-6079	243	13	compare	compare	VERB
ejpam-6079	243	14	them	they	PRON
ejpam-6079	243	15	.	.	PUNCT
ejpam-6079	244	1	therefore	therefore	ADV
ejpam-6079	244	2	,	,	PUNCT
ejpam-6079	244	3	we	we	PRON
ejpam-6079	244	4	need	need	VERB
ejpam-6079	244	5	to	to	PART
ejpam-6079	244	6	use	use	VERB
ejpam-6079	244	7	other	other	ADJ
ejpam-6079	244	8	statistics	statistic	NOUN
ejpam-6079	244	9	.	.	PUNCT
ejpam-6079	245	1	in	in	ADP
ejpam-6079	245	2	this	this	DET
ejpam-6079	245	3	situation	situation	NOUN
ejpam-6079	245	4	,	,	PUNCT
ejpam-6079	245	5	the	the	DET
ejpam-6079	245	6	akaike	akaike	ADJ
ejpam-6079	245	7	information	information	NOUN
ejpam-6079	245	8	criterion	criterion	NOUN
ejpam-6079	245	9	(	(	PUNCT
ejpam-6079	245	10	aic	aic	PROPN
ejpam-6079	245	11	)	)	PUNCT
ejpam-6079	246	1	[	[	X
ejpam-6079	246	2	18	18	NUM
ejpam-6079	246	3	]	]	PUNCT
ejpam-6079	246	4	and	and	CCONJ
ejpam-6079	246	5	bayesian	bayesian	NOUN
ejpam-6079	246	6	information	information	NOUN
ejpam-6079	246	7	criterion	criterion	NOUN
ejpam-6079	246	8	(	(	PUNCT
ejpam-6079	246	9	bic	bic	PROPN
ejpam-6079	246	10	)	)	PUNCT
ejpam-6079	247	1	[	[	X
ejpam-6079	247	2	19	19	NUM
ejpam-6079	247	3	]	]	X
ejpam-6079	247	4	s.	s.	PROPN
ejpam-6079	247	5	ando	ando	PROPN
ejpam-6079	247	6	/	/	SYM
ejpam-6079	247	7	eur	eur	PROPN
ejpam-6079	247	8	.	.	PUNCT
ejpam-6079	248	1	j.	j.	PROPN
ejpam-6079	248	2	pure	pure	PROPN
ejpam-6079	248	3	appl	appl	PROPN
ejpam-6079	248	4	.	.	PROPN
ejpam-6079	248	5	math	math	PROPN
ejpam-6079	248	6	,	,	PUNCT
ejpam-6079	248	7	18	18	NUM
ejpam-6079	248	8	(	(	PUNCT
ejpam-6079	248	9	2	2	NUM
ejpam-6079	248	10	)	)	PUNCT
ejpam-6079	248	11	(	(	PUNCT
ejpam-6079	248	12	2025	2025	NUM
ejpam-6079	248	13	)	)	PUNCT
ejpam-6079	248	14	,	,	PUNCT
ejpam-6079	248	15	6079	6079	NUM
ejpam-6079	248	16	11	11	NUM
ejpam-6079	248	17	of	of	ADP
ejpam-6079	248	18	14	14	NUM
ejpam-6079	248	19	are	be	AUX
ejpam-6079	248	20	famous	famous	ADJ
ejpam-6079	248	21	information	information	NOUN
ejpam-6079	248	22	criteria	criterion	NOUN
ejpam-6079	248	23	to	to	PART
ejpam-6079	248	24	select	select	VERB
ejpam-6079	248	25	the	the	DET
ejpam-6079	248	26	best	good	ADJ
ejpam-6079	248	27	fitting	fitting	ADJ
ejpam-6079	248	28	model	model	NOUN
ejpam-6079	248	29	among	among	ADP
ejpam-6079	248	30	the	the	DET
ejpam-6079	248	31	applied	apply	VERB
ejpam-6079	248	32	models	model	NOUN
ejpam-6079	248	33	,	,	PUNCT
ejpam-6079	248	34	and	and	CCONJ
ejpam-6079	248	35	the	the	DET
ejpam-6079	248	36	model	model	NOUN
ejpam-6079	248	37	with	with	ADP
ejpam-6079	248	38	the	the	DET
ejpam-6079	248	39	minimum	minimum	NOUN
ejpam-6079	248	40	aic	aic	PROPN
ejpam-6079	248	41	(	(	PUNCT
ejpam-6079	248	42	or	or	CCONJ
ejpam-6079	248	43	bic	bic	NOUN
ejpam-6079	248	44	)	)	PUNCT
ejpam-6079	248	45	is	be	AUX
ejpam-6079	248	46	the	the	DET
ejpam-6079	248	47	best	well	ADV
ejpam-6079	248	48	fitting	fitting	ADJ
ejpam-6079	248	49	model	model	NOUN
ejpam-6079	248	50	.	.	PUNCT
ejpam-6079	249	1	as	as	SCONJ
ejpam-6079	249	2	only	only	ADV
ejpam-6079	249	3	the	the	DET
ejpam-6079	249	4	difference	difference	NOUN
ejpam-6079	249	5	between	between	ADP
ejpam-6079	249	6	aics	aic	NOUN
ejpam-6079	249	7	(	(	PUNCT
ejpam-6079	249	8	or	or	CCONJ
ejpam-6079	249	9	bics	bic	NOUN
ejpam-6079	249	10	)	)	PUNCT
ejpam-6079	249	11	of	of	ADP
ejpam-6079	249	12	two	two	NUM
ejpam-6079	249	13	models	model	NOUN
ejpam-6079	249	14	is	be	AUX
ejpam-6079	249	15	required	require	VERB
ejpam-6079	249	16	for	for	ADP
ejpam-6079	249	17	comparing	compare	VERB
ejpam-6079	249	18	,	,	PUNCT
ejpam-6079	249	19	it	it	PRON
ejpam-6079	249	20	can	can	AUX
ejpam-6079	249	21	ignore	ignore	VERB
ejpam-6079	249	22	a	a	DET
ejpam-6079	249	23	common	common	ADJ
ejpam-6079	249	24	part	part	NOUN
ejpam-6079	249	25	of	of	ADP
ejpam-6079	249	26	aic	aic	PROPN
ejpam-6079	249	27	(	(	PUNCT
ejpam-6079	249	28	or	or	CCONJ
ejpam-6079	249	29	bic	bic	NOUN
ejpam-6079	249	30	)	)	PUNCT
ejpam-6079	249	31	.	.	PUNCT
ejpam-6079	250	1	therefore	therefore	ADV
ejpam-6079	250	2	,	,	PUNCT
ejpam-6079	250	3	we	we	PRON
ejpam-6079	250	4	use	use	VERB
ejpam-6079	250	5	modified	modify	VERB
ejpam-6079	250	6	aic	aic	PROPN
ejpam-6079	250	7	and	and	CCONJ
ejpam-6079	250	8	bic	bic	PROPN
ejpam-6079	250	9	defined	define	VERB
ejpam-6079	250	10	as	as	ADP
ejpam-6079	250	11	aic+	aic+	PROPN
ejpam-6079	250	12	=	=	SYM
ejpam-6079	250	13	g2	g2	PROPN
ejpam-6079	250	14	−	−	PROPN
ejpam-6079	251	1	2(number	2(number	NUM
ejpam-6079	251	2	of	of	ADP
ejpam-6079	251	3	degrees	degree	NOUN
ejpam-6079	251	4	of	of	ADP
ejpam-6079	251	5	freedom	freedom	NOUN
ejpam-6079	251	6	)	)	PUNCT
ejpam-6079	251	7	,	,	PUNCT
ejpam-6079	251	8	bic+	bic+	PROPN
ejpam-6079	251	9	=	=	PROPN
ejpam-6079	251	10	g2	g2	PROPN
ejpam-6079	251	11	−	−	PROPN
ejpam-6079	251	12	logn(number	logn(number	PROPN
ejpam-6079	251	13	of	of	ADP
ejpam-6079	251	14	degrees	degree	NOUN
ejpam-6079	251	15	of	of	ADP
ejpam-6079	251	16	freedom	freedom	NOUN
ejpam-6079	251	17	)	)	PUNCT
ejpam-6079	251	18	.	.	PUNCT
ejpam-6079	252	1	the	the	DET
ejpam-6079	252	2	model	model	NOUN
ejpam-6079	252	3	with	with	ADP
ejpam-6079	252	4	the	the	DET
ejpam-6079	252	5	minimum	minimum	ADJ
ejpam-6079	252	6	aic+	aic+	NOUN
ejpam-6079	252	7	or	or	CCONJ
ejpam-6079	252	8	minimum	minimum	NOUN
ejpam-6079	252	9	bic+	bic+	ADJ
ejpam-6079	252	10	is	be	AUX
ejpam-6079	252	11	the	the	DET
ejpam-6079	252	12	best	good	ADJ
ejpam-6079	252	13	fitting	fitting	ADJ
ejpam-6079	252	14	model	model	NOUN
ejpam-6079	252	15	among	among	ADP
ejpam-6079	252	16	the	the	DET
ejpam-6079	252	17	applied	apply	VERB
ejpam-6079	252	18	models	model	NOUN
ejpam-6079	252	19	.	.	PUNCT
ejpam-6079	253	1	5	5	X
ejpam-6079	253	2	.	.	X
ejpam-6079	253	3	real	real	ADJ
ejpam-6079	253	4	data	datum	NOUN
ejpam-6079	253	5	analysis	analysis	NOUN
ejpam-6079	253	6	we	we	PRON
ejpam-6079	253	7	re	re	VERB
ejpam-6079	253	8	-	-	VERB
ejpam-6079	253	9	examine	examine	VERB
ejpam-6079	253	10	the	the	DET
ejpam-6079	253	11	dataset	dataset	NOUN
ejpam-6079	253	12	presented	present	VERB
ejpam-6079	253	13	in	in	ADP
ejpam-6079	253	14	table	table	NOUN
ejpam-6079	253	15	1	1	NUM
ejpam-6079	253	16	.	.	PUNCT
ejpam-6079	253	17	table	table	NOUN
ejpam-6079	253	18	4	4	NUM
ejpam-6079	253	19	provided	provide	VERB
ejpam-6079	253	20	the	the	DET
ejpam-6079	253	21	values	value	NOUN
ejpam-6079	253	22	of	of	ADP
ejpam-6079	253	23	g2	g2	PROPN
ejpam-6079	253	24	and	and	CCONJ
ejpam-6079	253	25	aic+	aic+	PROPN
ejpam-6079	253	26	for	for	SCONJ
ejpam-6079	253	27	each	each	PRON
ejpam-6079	253	28	as	as	ADP
ejpam-6079	253	29	,	,	PUNCT
ejpam-6079	253	30	acs	acs	PROPN
ejpam-6079	253	31	,	,	PUNCT
ejpam-6079	253	32	adps	adps	PROPN
ejpam-6079	253	33	,	,	PUNCT
ejpam-6079	253	34	ags	ag	NOUN
ejpam-6079	253	35	,	,	PUNCT
ejpam-6079	253	36	ass	ass	NOUN
ejpam-6079	253	37	,	,	PUNCT
ejpam-6079	253	38	and	and	CCONJ
ejpam-6079	253	39	acss	acss	ADJ
ejpam-6079	253	40	model	model	NOUN
ejpam-6079	253	41	applied	apply	VERB
ejpam-6079	253	42	to	to	ADP
ejpam-6079	253	43	the	the	DET
ejpam-6079	253	44	dataset	dataset	NOUN
ejpam-6079	253	45	in	in	ADP
ejpam-6079	253	46	table	table	NOUN
ejpam-6079	253	47	1	1	NUM
ejpam-6079	253	48	.	.	PUNCT
ejpam-6079	253	49	table	table	NOUN
ejpam-6079	253	50	4	4	NUM
ejpam-6079	253	51	:	:	PUNCT
ejpam-6079	253	52	results	result	NOUN
ejpam-6079	253	53	of	of	ADP
ejpam-6079	253	54	goodness	goodness	NOUN
ejpam-6079	253	55	-	-	PUNCT
ejpam-6079	253	56	of	of	ADP
ejpam-6079	253	57	-	-	PUNCT
ejpam-6079	253	58	fit	fit	ADJ
ejpam-6079	253	59	test	test	NOUN
ejpam-6079	253	60	applied	apply	VERB
ejpam-6079	253	61	each	each	DET
ejpam-6079	253	62	model	model	NOUN
ejpam-6079	253	63	to	to	ADP
ejpam-6079	253	64	the	the	DET
ejpam-6079	253	65	dataset	dataset	NOUN
ejpam-6079	253	66	of	of	ADP
ejpam-6079	253	67	table	table	NOUN
ejpam-6079	253	68	1	1	NUM
ejpam-6079	253	69	applied	apply	VERB
ejpam-6079	253	70	models	model	NOUN
ejpam-6079	253	71	degrees	degree	NOUN
ejpam-6079	253	72	of	of	ADP
ejpam-6079	253	73	freedom	freedom	NOUN
ejpam-6079	253	74	g2	g2	PROPN
ejpam-6079	253	75	p	p	NOUN
ejpam-6079	253	76	-	-	PUNCT
ejpam-6079	253	77	value	value	NOUN
ejpam-6079	253	78	aic+	aic+	NOUN
ejpam-6079	253	79	as	as	ADP
ejpam-6079	253	80	10	10	NUM
ejpam-6079	253	81	167.37∗	167.37∗	NUM
ejpam-6079	253	82	<	<	X
ejpam-6079	253	83	0.01	0.01	NUM
ejpam-6079	253	84	147.37	147.37	NUM
ejpam-6079	253	85	acs	acs	NOUN
ejpam-6079	253	86	9	9	NUM
ejpam-6079	253	87	43.92∗	43.92∗	NOUN
ejpam-6079	253	88	<	<	X
ejpam-6079	253	89	0.01	0.01	NUM
ejpam-6079	253	90	25.92	25.92	NUM
ejpam-6079	253	91	adps	adps	NOUN
ejpam-6079	253	92	6	6	NUM
ejpam-6079	253	93	5.35	5.35	NUM
ejpam-6079	253	94	0.50	0.50	NUM
ejpam-6079	253	95	−7.35	−7.35	NOUN
ejpam-6079	253	96	ags	ag	NOUN
ejpam-6079	253	97	1	1	NUM
ejpam-6079	253	98	123.44∗	123.44∗	NUM
ejpam-6079	253	99	<	<	X
ejpam-6079	253	100	0.01	0.01	NUM
ejpam-6079	253	101	121.44	121.44	NUM
ejpam-6079	253	102	ass	ass	NOUN
ejpam-6079	253	103	4	4	NUM
ejpam-6079	253	104	162.02∗	162.02∗	NUM
ejpam-6079	253	105	<	<	NOUN
ejpam-6079	253	106	0.01	0.01	NUM
ejpam-6079	253	107	154.02	154.02	NUM
ejpam-6079	253	108	acss	acss	ADJ
ejpam-6079	253	109	3	3	NUM
ejpam-6079	253	110	38.57∗	38.57∗	NOUN
ejpam-6079	253	111	<	<	X
ejpam-6079	253	112	0.01	0.01	NUM
ejpam-6079	253	113	32.57	32.57	NUM
ejpam-6079	253	114	the	the	DET
ejpam-6079	253	115	symbol	symbol	NOUN
ejpam-6079	253	116	∗	∗	NOUN
ejpam-6079	253	117	represents	represent	VERB
ejpam-6079	253	118	significance	significance	NOUN
ejpam-6079	253	119	at	at	ADP
ejpam-6079	253	120	the	the	DET
ejpam-6079	253	121	0.05	0.05	NUM
ejpam-6079	253	122	level	level	NOUN
ejpam-6079	253	123	.	.	PUNCT
ejpam-6079	254	1	table	table	NOUN
ejpam-6079	254	2	4	4	NUM
ejpam-6079	254	3	showed	show	VERB
ejpam-6079	254	4	that	that	SCONJ
ejpam-6079	254	5	the	the	DET
ejpam-6079	254	6	goodness	goodness	NOUN
ejpam-6079	254	7	-	-	PUNCT
ejpam-6079	254	8	of	of	ADP
ejpam-6079	254	9	-	-	PUNCT
ejpam-6079	254	10	fit	fit	NOUN
ejpam-6079	254	11	of	of	ADP
ejpam-6079	254	12	the	the	DET
ejpam-6079	254	13	adps	adps	NOUN
ejpam-6079	254	14	model	model	NOUN
ejpam-6079	254	15	is	be	AUX
ejpam-6079	254	16	well	well	ADJ
ejpam-6079	254	17	and	and	CCONJ
ejpam-6079	254	18	dramatically	dramatically	ADV
ejpam-6079	254	19	improves	improves	AUX
ejpam-6079	254	20	compared	compare	VERB
ejpam-6079	254	21	to	to	ADP
ejpam-6079	254	22	the	the	DET
ejpam-6079	254	23	acs	acs	PROPN
ejpam-6079	254	24	model	model	NOUN
ejpam-6079	254	25	.	.	PUNCT
ejpam-6079	255	1	additionally	additionally	ADV
ejpam-6079	255	2	,	,	PUNCT
ejpam-6079	255	3	the	the	PRON
ejpam-6079	255	4	goodness	goodness	NOUN
ejpam-6079	255	5	-	-	PUNCT
ejpam-6079	255	6	of	of	ADP
ejpam-6079	255	7	-	-	PUNCT
ejpam-6079	255	8	fit	fit	NOUN
ejpam-6079	255	9	of	of	ADP
ejpam-6079	255	10	the	the	DET
ejpam-6079	255	11	other	other	ADJ
ejpam-6079	255	12	models	model	NOUN
ejpam-6079	255	13	are	be	AUX
ejpam-6079	255	14	poor	poor	ADJ
ejpam-6079	255	15	.	.	PUNCT
ejpam-6079	256	1	the	the	DET
ejpam-6079	256	2	values	value	NOUN
ejpam-6079	256	3	of	of	ADP
ejpam-6079	256	4	test	test	NOUN
ejpam-6079	256	5	statistics	statistic	NOUN
ejpam-6079	256	6	g2(as	g2(as	PROPN
ejpam-6079	256	7	|	|	NOUN
ejpam-6079	256	8	acs	acs	PROPN
ejpam-6079	256	9	)	)	PUNCT
ejpam-6079	256	10	and	and	CCONJ
ejpam-6079	256	11	g2(acs	g2(acs	PROPN
ejpam-6079	256	12	|	|	ADV
ejpam-6079	256	13	adps	adps	NOUN
ejpam-6079	256	14	)	)	PUNCT
ejpam-6079	256	15	are	be	AUX
ejpam-6079	256	16	123.45	123.45	NUM
ejpam-6079	256	17	and	and	CCONJ
ejpam-6079	256	18	38.57	38.57	NUM
ejpam-6079	256	19	,	,	PUNCT
ejpam-6079	256	20	respectively	respectively	ADV
ejpam-6079	256	21	.	.	PUNCT
ejpam-6079	257	1	therefore	therefore	ADV
ejpam-6079	257	2	,	,	PUNCT
ejpam-6079	257	3	the	the	DET
ejpam-6079	257	4	acs	acs	PROPN
ejpam-6079	257	5	model	model	NOUN
ejpam-6079	257	6	is	be	AUX
ejpam-6079	257	7	preferable	preferable	ADJ
ejpam-6079	257	8	to	to	ADP
ejpam-6079	257	9	the	the	PRON
ejpam-6079	257	10	as	as	ADP
ejpam-6079	257	11	model	model	NOUN
ejpam-6079	257	12	,	,	PUNCT
ejpam-6079	257	13	and	and	CCONJ
ejpam-6079	257	14	the	the	DET
ejpam-6079	257	15	adps	adps	NOUN
ejpam-6079	257	16	model	model	NOUN
ejpam-6079	257	17	is	be	AUX
ejpam-6079	257	18	preferable	preferable	ADJ
ejpam-6079	257	19	to	to	ADP
ejpam-6079	257	20	the	the	DET
ejpam-6079	257	21	acs	acs	PROPN
ejpam-6079	257	22	model	model	NOUN
ejpam-6079	257	23	.	.	PUNCT
ejpam-6079	258	1	moreover	moreover	ADV
ejpam-6079	258	2	,	,	PUNCT
ejpam-6079	258	3	in	in	ADP
ejpam-6079	258	4	terms	term	NOUN
ejpam-6079	258	5	of	of	ADP
ejpam-6079	258	6	aic	aic	PROPN
ejpam-6079	258	7	,	,	PUNCT
ejpam-6079	258	8	the	the	DET
ejpam-6079	258	9	adps	adps	NOUN
ejpam-6079	258	10	model	model	NOUN
ejpam-6079	258	11	is	be	AUX
ejpam-6079	258	12	the	the	DET
ejpam-6079	258	13	best	well	ADV
ejpam-6079	258	14	-	-	PUNCT
ejpam-6079	258	15	fitting	fit	VERB
ejpam-6079	258	16	model	model	NOUN
ejpam-6079	258	17	among	among	ADP
ejpam-6079	258	18	the	the	DET
ejpam-6079	258	19	models	model	NOUN
ejpam-6079	258	20	applied	apply	VERB
ejpam-6079	258	21	to	to	ADP
ejpam-6079	258	22	the	the	DET
ejpam-6079	258	23	dataset	dataset	NOUN
ejpam-6079	258	24	in	in	ADP
ejpam-6079	258	25	table	table	NOUN
ejpam-6079	258	26	1	1	NUM
ejpam-6079	258	27	.	.	PUNCT
ejpam-6079	258	28	table	table	NOUN
ejpam-6079	258	29	5	5	NUM
ejpam-6079	258	30	gave	give	VERB
ejpam-6079	258	31	the	the	DET
ejpam-6079	258	32	êij	êij	NOUN
ejpam-6079	258	33	under	under	ADP
ejpam-6079	258	34	the	the	DET
ejpam-6079	258	35	adps	adps	PROPN
ejpam-6079	258	36	model	model	NOUN
ejpam-6079	258	37	.	.	PUNCT
ejpam-6079	259	1	we	we	PRON
ejpam-6079	259	2	see	see	VERB
ejpam-6079	259	3	that	that	SCONJ
ejpam-6079	259	4	there	there	PRON
ejpam-6079	259	5	is	be	VERB
ejpam-6079	259	6	little	little	ADJ
ejpam-6079	259	7	difference	difference	NOUN
ejpam-6079	259	8	between	between	ADP
ejpam-6079	259	9	mles	mle	NOUN
ejpam-6079	259	10	of	of	ADP
ejpam-6079	259	11	expected	expect	VERB
ejpam-6079	259	12	frequencies	frequency	NOUN
ejpam-6079	259	13	and	and	CCONJ
ejpam-6079	259	14	the	the	DET
ejpam-6079	259	15	observed	observed	ADJ
ejpam-6079	259	16	frequencies	frequency	NOUN
ejpam-6079	259	17	.	.	PUNCT
ejpam-6079	260	1	the	the	DET
ejpam-6079	260	2	mles	mle	NOUN
ejpam-6079	260	3	of	of	ADP
ejpam-6079	260	4	δ1	δ1	NOUN
ejpam-6079	260	5	,	,	PUNCT
ejpam-6079	260	6	δ2	δ2	VERB
ejpam-6079	260	7	,	,	PUNCT
ejpam-6079	260	8	δ3	δ3	PROPN
ejpam-6079	260	9	,	,	PUNCT
ejpam-6079	260	10	and	and	CCONJ
ejpam-6079	260	11	δ4	δ4	NOUN
ejpam-6079	260	12	are	be	AUX
ejpam-6079	260	13	0.92	0.92	NUM
ejpam-6079	260	14	,	,	PUNCT
ejpam-6079	260	15	0.67	0.67	NUM
ejpam-6079	260	16	,	,	PUNCT
ejpam-6079	260	17	0.59	0.59	NUM
ejpam-6079	260	18	,	,	PUNCT
ejpam-6079	260	19	and	and	CCONJ
ejpam-6079	260	20	0.43	0.43	NUM
ejpam-6079	260	21	,	,	PUNCT
ejpam-6079	260	22	respectively	respectively	ADV
ejpam-6079	260	23	.	.	PUNCT
ejpam-6079	261	1	the	the	DET
ejpam-6079	261	2	results	result	NOUN
ejpam-6079	261	3	demonstrate	demonstrate	VERB
ejpam-6079	261	4	a	a	DET
ejpam-6079	261	5	clear	clear	ADJ
ejpam-6079	261	6	discrepancy	discrepancy	NOUN
ejpam-6079	261	7	between	between	ADP
ejpam-6079	261	8	the	the	DET
ejpam-6079	261	9	ratio	ratio	NOUN
ejpam-6079	261	10	of	of	ADP
ejpam-6079	261	11	men	man	NOUN
ejpam-6079	261	12	with	with	ADP
ejpam-6079	261	13	high	high	ADJ
ejpam-6079	261	14	and	and	CCONJ
ejpam-6079	261	15	low	low	ADJ
ejpam-6079	261	16	grip	grip	NOUN
ejpam-6079	261	17	strength	strength	NOUN
ejpam-6079	261	18	levels	level	NOUN
ejpam-6079	261	19	.	.	PUNCT
ejpam-6079	262	1	it	it	PRON
ejpam-6079	262	2	can	can	AUX
ejpam-6079	262	3	therefore	therefore	ADV
ejpam-6079	262	4	be	be	AUX
ejpam-6079	262	5	concluded	conclude	VERB
ejpam-6079	262	6	that	that	SCONJ
ejpam-6079	262	7	the	the	DET
ejpam-6079	262	8	aforementioned	aforementioned	ADJ
ejpam-6079	262	9	criteria	criterion	NOUN
ejpam-6079	262	10	for	for	ADP
ejpam-6079	262	11	determining	determine	VERB
ejpam-6079	262	12	grip	grip	NOUN
ejpam-6079	262	13	strength	strength	NOUN
ejpam-6079	262	14	levels	level	NOUN
ejpam-6079	262	15	is	be	AUX
ejpam-6079	262	16	ineffective	ineffective	ADJ
ejpam-6079	262	17	.	.	PUNCT
ejpam-6079	263	1	in	in	ADP
ejpam-6079	263	2	the	the	DET
ejpam-6079	263	3	future	future	NOUN
ejpam-6079	263	4	,	,	PUNCT
ejpam-6079	263	5	it	it	PRON
ejpam-6079	263	6	is	be	AUX
ejpam-6079	263	7	expected	expect	VERB
ejpam-6079	263	8	that	that	SCONJ
ejpam-6079	263	9	the	the	DET
ejpam-6079	263	10	classification	classification	NOUN
ejpam-6079	263	11	criteria	criterion	NOUN
ejpam-6079	263	12	for	for	ADP
ejpam-6079	263	13	grip	grip	NOUN
ejpam-6079	263	14	strength	strength	NOUN
ejpam-6079	263	15	may	may	AUX
ejpam-6079	263	16	be	be	AUX
ejpam-6079	263	17	revised	revise	VERB
ejpam-6079	263	18	.	.	PUNCT
ejpam-6079	264	1	in	in	ADP
ejpam-6079	264	2	accordance	accordance	NOUN
ejpam-6079	264	3	with	with	ADP
ejpam-6079	264	4	theorem	theorem	NOUN
ejpam-6079	264	5	2	2	NUM
ejpam-6079	264	6	,	,	PUNCT
ejpam-6079	264	7	the	the	DET
ejpam-6079	264	8	poor	poor	ADJ
ejpam-6079	264	9	goodness	goodness	NOUN
ejpam-6079	264	10	-	-	PUNCT
ejpam-6079	264	11	of	of	ADP
ejpam-6079	264	12	-	-	PUNCT
ejpam-6079	264	13	fit	fit	NOUN
ejpam-6079	264	14	of	of	ADP
ejpam-6079	264	15	the	the	PRON
ejpam-6079	264	16	as	as	ADP
ejpam-6079	264	17	model	model	NOUN
ejpam-6079	264	18	can	can	AUX
ejpam-6079	264	19	be	be	AUX
ejpam-6079	264	20	attributed	attribute	VERB
ejpam-6079	264	21	to	to	ADP
ejpam-6079	264	22	the	the	DET
ejpam-6079	264	23	ass	ass	NOUN
ejpam-6079	264	24	model	model	NOUN
ejpam-6079	264	25	,	,	PUNCT
ejpam-6079	264	26	rather	rather	ADV
ejpam-6079	264	27	than	than	ADP
ejpam-6079	264	28	the	the	DET
ejpam-6079	264	29	adps	adps	PROPN
ejpam-6079	264	30	model	model	NOUN
ejpam-6079	264	31	.	.	PUNCT
ejpam-6079	265	1	additionally	additionally	ADV
ejpam-6079	265	2	,	,	PUNCT
ejpam-6079	265	3	from	from	ADP
ejpam-6079	265	4	theorem	theorem	NOUN
ejpam-6079	265	5	5	5	NUM
ejpam-6079	265	6	,	,	PUNCT
ejpam-6079	265	7	it	it	PRON
ejpam-6079	265	8	can	can	AUX
ejpam-6079	265	9	be	be	AUX
ejpam-6079	265	10	concluded	conclude	VERB
ejpam-6079	265	11	that	that	SCONJ
ejpam-6079	265	12	the	the	DET
ejpam-6079	265	13	cause	cause	NOUN
ejpam-6079	265	14	of	of	ADP
ejpam-6079	265	15	the	the	DET
ejpam-6079	265	16	poor	poor	ADJ
ejpam-6079	265	17	goodness	goodness	NOUN
ejpam-6079	265	18	-	-	PUNCT
ejpam-6079	265	19	of	of	ADP
ejpam-6079	265	20	-	-	PUNCT
ejpam-6079	265	21	fit	fit	NOUN
ejpam-6079	265	22	of	of	ADP
ejpam-6079	265	23	the	the	PRON
ejpam-6079	265	24	as	as	ADP
ejpam-6079	265	25	model	model	NOUN
ejpam-6079	265	26	is	be	AUX
ejpam-6079	265	27	the	the	DET
ejpam-6079	265	28	acss	acss	ADJ
ejpam-6079	265	29	and	and	CCONJ
ejpam-6079	265	30	ags	ag	NOUN
ejpam-6079	265	31	models	model	NOUN
ejpam-6079	265	32	,	,	PUNCT
ejpam-6079	265	33	rather	rather	ADV
ejpam-6079	265	34	than	than	ADP
ejpam-6079	265	35	the	the	DET
ejpam-6079	265	36	adps	adps	PROPN
ejpam-6079	265	37	model	model	NOUN
ejpam-6079	265	38	.	.	PUNCT
ejpam-6079	266	1	s.	s.	PROPN
ejpam-6079	266	2	ando	ando	PROPN
ejpam-6079	266	3	/	/	SYM
ejpam-6079	266	4	eur	eur	PROPN
ejpam-6079	266	5	.	.	PUNCT
ejpam-6079	267	1	j.	j.	PROPN
ejpam-6079	267	2	pure	pure	PROPN
ejpam-6079	267	3	appl	appl	PROPN
ejpam-6079	267	4	.	.	PROPN
ejpam-6079	267	5	math	math	PROPN
ejpam-6079	267	6	,	,	PUNCT
ejpam-6079	267	7	18	18	NUM
ejpam-6079	267	8	(	(	PUNCT
ejpam-6079	267	9	2	2	NUM
ejpam-6079	267	10	)	)	PUNCT
ejpam-6079	267	11	(	(	PUNCT
ejpam-6079	267	12	2025	2025	NUM
ejpam-6079	267	13	)	)	PUNCT
ejpam-6079	267	14	,	,	PUNCT
ejpam-6079	267	15	6079	6079	NUM
ejpam-6079	267	16	12	12	NUM
ejpam-6079	267	17	of	of	ADP
ejpam-6079	267	18	14	14	NUM
ejpam-6079	267	19	table	table	NOUN
ejpam-6079	267	20	5	5	NUM
ejpam-6079	267	21	:	:	PUNCT
ejpam-6079	267	22	maximum	maximum	ADJ
ejpam-6079	267	23	likelihood	likelihood	NOUN
ejpam-6079	267	24	estimates	estimate	NOUN
ejpam-6079	267	25	of	of	ADP
ejpam-6079	267	26	expected	expect	VERB
ejpam-6079	267	27	frequencies	frequency	NOUN
ejpam-6079	267	28	under	under	ADP
ejpam-6079	267	29	the	the	DET
ejpam-6079	267	30	anti	anti	ADJ
ejpam-6079	267	31	-	-	ADJ
ejpam-6079	267	32	diagonals	diagonal	NOUN
ejpam-6079	267	33	-	-	PUNCT
ejpam-6079	267	34	parameter	parameter	NOUN
ejpam-6079	267	35	symmetry	symmetry	NOUN
ejpam-6079	267	36	(	(	PUNCT
ejpam-6079	267	37	adps	adps	PROPN
ejpam-6079	267	38	)	)	PUNCT
ejpam-6079	267	39	model	model	NOUN
ejpam-6079	267	40	applied	apply	VERB
ejpam-6079	267	41	to	to	ADP
ejpam-6079	267	42	the	the	DET
ejpam-6079	267	43	dataset	dataset	NOUN
ejpam-6079	267	44	in	in	ADP
ejpam-6079	267	45	table	table	NOUN
ejpam-6079	267	46	1	1	NUM
ejpam-6079	267	47	left	leave	VERB
ejpam-6079	267	48	hand	hand	NOUN
ejpam-6079	267	49	right	right	ADJ
ejpam-6079	267	50	hand	hand	NOUN
ejpam-6079	267	51	(	(	PUNCT
ejpam-6079	267	52	1	1	NUM
ejpam-6079	267	53	)	)	PUNCT
ejpam-6079	267	54	(	(	PUNCT
ejpam-6079	267	55	2	2	NUM
ejpam-6079	267	56	)	)	PUNCT
ejpam-6079	267	57	(	(	PUNCT
ejpam-6079	267	58	3	3	X
ejpam-6079	267	59	)	)	PUNCT
ejpam-6079	267	60	(	(	PUNCT
ejpam-6079	267	61	4	4	NUM
ejpam-6079	267	62	)	)	PUNCT
ejpam-6079	267	63	(	(	PUNCT
ejpam-6079	267	64	5	5	X
ejpam-6079	267	65	)	)	PUNCT
ejpam-6079	267	66	total	total	NOUN
ejpam-6079	267	67	highest	high	ADJ
ejpam-6079	267	68	(	(	PUNCT
ejpam-6079	267	69	1	1	NUM
ejpam-6079	267	70	)	)	PUNCT
ejpam-6079	267	71	215	215	NUM
ejpam-6079	267	72	124	124	NUM
ejpam-6079	267	73	46	46	NUM
ejpam-6079	267	74	14	14	NUM
ejpam-6079	267	75	2	2	NUM
ejpam-6079	267	76	401	401	NUM
ejpam-6079	267	77	(	(	PUNCT
ejpam-6079	267	78	215	215	NUM
ejpam-6079	267	79	)	)	PUNCT
ejpam-6079	267	80	(	(	PUNCT
ejpam-6079	267	81	124.48	124.48	NUM
ejpam-6079	267	82	)	)	PUNCT
ejpam-6079	267	83	(	(	PUNCT
ejpam-6079	267	84	38.88	38.88	NUM
ejpam-6079	267	85	)	)	PUNCT
ejpam-6079	267	86	(	(	PUNCT
ejpam-6079	267	87	14.36	14.36	NUM
ejpam-6079	267	88	)	)	PUNCT
ejpam-6079	267	89	(	(	PUNCT
ejpam-6079	267	90	2	2	NUM
ejpam-6079	267	91	)	)	PUNCT
ejpam-6079	267	92	(	(	PUNCT
ejpam-6079	267	93	2	2	NUM
ejpam-6079	267	94	)	)	PUNCT
ejpam-6079	267	95	37	37	NUM
ejpam-6079	267	96	143	143	NUM
ejpam-6079	267	97	165	165	NUM
ejpam-6079	267	98	74	74	NUM
ejpam-6079	267	99	16	16	NUM
ejpam-6079	267	100	435	435	NUM
ejpam-6079	267	101	(	(	PUNCT
ejpam-6079	267	102	36.52	36.52	NUM
ejpam-6079	267	103	)	)	PUNCT
ejpam-6079	267	104	(	(	PUNCT
ejpam-6079	267	105	147.90	147.90	NUM
ejpam-6079	267	106	)	)	PUNCT
ejpam-6079	267	107	(	(	PUNCT
ejpam-6079	267	108	158.49	158.49	NUM
ejpam-6079	267	109	)	)	PUNCT
ejpam-6079	267	110	(	(	PUNCT
ejpam-6079	267	111	74	74	NUM
ejpam-6079	267	112	)	)	PUNCT
ejpam-6079	267	113	(	(	PUNCT
ejpam-6079	267	114	15.64	15.64	NUM
ejpam-6079	267	115	)	)	PUNCT
ejpam-6079	267	116	(	(	PUNCT
ejpam-6079	267	117	3	3	X
ejpam-6079	267	118	)	)	PUNCT
ejpam-6079	267	119	7	7	NUM
ejpam-6079	267	120	45	45	NUM
ejpam-6079	267	121	156	156	NUM
ejpam-6079	267	122	166	166	NUM
ejpam-6079	267	123	51	51	NUM
ejpam-6079	267	124	425	425	NUM
ejpam-6079	267	125	(	(	PUNCT
ejpam-6079	267	126	9.22	9.22	NUM
ejpam-6079	267	127	)	)	PUNCT
ejpam-6079	267	128	(	(	PUNCT
ejpam-6079	267	129	51.23	51.23	NUM
ejpam-6079	267	130	)	)	PUNCT
ejpam-6079	267	131	(	(	PUNCT
ejpam-6079	267	132	156	156	NUM
ejpam-6079	267	133	)	)	PUNCT
ejpam-6079	267	134	(	(	PUNCT
ejpam-6079	267	135	172.51	172.51	NUM
ejpam-6079	267	136	)	)	PUNCT
ejpam-6079	267	137	(	(	PUNCT
ejpam-6079	267	138	58.12	58.12	NUM
ejpam-6079	267	139	)	)	PUNCT
ejpam-6079	267	140	(	(	PUNCT
ejpam-6079	267	141	4	4	X
ejpam-6079	267	142	)	)	SYM
ejpam-6079	267	143	2	2	NUM
ejpam-6079	267	144	20	20	NUM
ejpam-6079	267	145	62	62	NUM
ejpam-6079	267	146	226	226	NUM
ejpam-6079	267	147	210	210	NUM
ejpam-6079	267	148	520	520	NUM
ejpam-6079	267	149	(	(	PUNCT
ejpam-6079	267	150	1.92	1.92	NUM
ejpam-6079	267	151	)	)	PUNCT
ejpam-6079	267	152	(	(	PUNCT
ejpam-6079	267	153	20	20	NUM
ejpam-6079	267	154	)	)	PUNCT
ejpam-6079	267	155	(	(	PUNCT
ejpam-6079	267	156	55.77	55.77	NUM
ejpam-6079	267	157	)	)	PUNCT
ejpam-6079	267	158	(	(	PUNCT
ejpam-6079	267	159	221.10	221.10	NUM
ejpam-6079	267	160	)	)	PUNCT
ejpam-6079	267	161	(	(	PUNCT
ejpam-6079	267	162	209.52	209.52	NUM
ejpam-6079	267	163	)	)	PUNCT
ejpam-6079	267	164	lowest	low	ADJ
ejpam-6079	267	165	(	(	PUNCT
ejpam-6079	267	166	5	5	NUM
ejpam-6079	267	167	)	)	SYM
ejpam-6079	267	168	1	1	NUM
ejpam-6079	267	169	2	2	NUM
ejpam-6079	267	170	16	16	NUM
ejpam-6079	267	171	61	61	NUM
ejpam-6079	267	172	495	495	NUM
ejpam-6079	267	173	575	575	NUM
ejpam-6079	267	174	(	(	PUNCT
ejpam-6079	267	175	1	1	NUM
ejpam-6079	267	176	)	)	PUNCT
ejpam-6079	267	177	(	(	PUNCT
ejpam-6079	267	178	2.08	2.08	NUM
ejpam-6079	267	179	)	)	PUNCT
ejpam-6079	267	180	(	(	PUNCT
ejpam-6079	267	181	13.78	13.78	NUM
ejpam-6079	267	182	)	)	PUNCT
ejpam-6079	267	183	(	(	PUNCT
ejpam-6079	267	184	61.48	61.48	NUM
ejpam-6079	267	185	)	)	PUNCT
ejpam-6079	267	186	(	(	PUNCT
ejpam-6079	267	187	495	495	NUM
ejpam-6079	267	188	)	)	PUNCT
ejpam-6079	267	189	total	total	NOUN
ejpam-6079	267	190	262	262	NUM
ejpam-6079	267	191	334	334	NUM
ejpam-6079	267	192	445	445	NUM
ejpam-6079	267	193	541	541	NUM
ejpam-6079	267	194	774	774	NUM
ejpam-6079	267	195	2356	2356	NUM
ejpam-6079	267	196	from	from	ADP
ejpam-6079	267	197	theorem	theorem	ADJ
ejpam-6079	267	198	6	6	NUM
ejpam-6079	267	199	,	,	PUNCT
ejpam-6079	267	200	it	it	PRON
ejpam-6079	267	201	can	can	AUX
ejpam-6079	267	202	be	be	AUX
ejpam-6079	267	203	concluded	conclude	VERB
ejpam-6079	267	204	that	that	SCONJ
ejpam-6079	267	205	the	the	DET
ejpam-6079	267	206	cause	cause	NOUN
ejpam-6079	267	207	of	of	ADP
ejpam-6079	267	208	the	the	DET
ejpam-6079	267	209	poor	poor	ADJ
ejpam-6079	267	210	goodness	goodness	NOUN
ejpam-6079	267	211	-	-	PUNCT
ejpam-6079	267	212	of	of	ADP
ejpam-6079	267	213	-	-	PUNCT
ejpam-6079	267	214	fit	fit	NOUN
ejpam-6079	267	215	of	of	ADP
ejpam-6079	267	216	the	the	DET
ejpam-6079	267	217	acs	acs	PROPN
ejpam-6079	267	218	model	model	NOUN
ejpam-6079	267	219	is	be	AUX
ejpam-6079	267	220	the	the	DET
ejpam-6079	267	221	acss	acss	ADJ
ejpam-6079	267	222	model	model	NOUN
ejpam-6079	267	223	,	,	PUNCT
ejpam-6079	267	224	rather	rather	ADV
ejpam-6079	267	225	than	than	ADP
ejpam-6079	267	226	the	the	DET
ejpam-6079	267	227	adps	adps	PROPN
ejpam-6079	267	228	model	model	NOUN
ejpam-6079	267	229	.	.	PUNCT
ejpam-6079	268	1	6	6	NUM
ejpam-6079	268	2	.	.	X
ejpam-6079	268	3	conclusion	conclusion	NOUN
ejpam-6079	268	4	this	this	DET
ejpam-6079	268	5	study	study	NOUN
ejpam-6079	268	6	proposed	propose	VERB
ejpam-6079	268	7	the	the	DET
ejpam-6079	268	8	adps	adps	NOUN
ejpam-6079	268	9	model	model	NOUN
ejpam-6079	268	10	as	as	ADP
ejpam-6079	268	11	an	an	DET
ejpam-6079	268	12	extension	extension	NOUN
ejpam-6079	268	13	of	of	ADP
ejpam-6079	268	14	the	the	DET
ejpam-6079	268	15	acs	acs	PROPN
ejpam-6079	268	16	model	model	NOUN
ejpam-6079	268	17	.	.	PUNCT
ejpam-6079	269	1	the	the	DET
ejpam-6079	269	2	adps	adps	PROPN
ejpam-6079	269	3	model	model	NOUN
ejpam-6079	269	4	represents	represent	VERB
ejpam-6079	269	5	the	the	DET
ejpam-6079	269	6	asymmetric	asymmetric	ADJ
ejpam-6079	269	7	structure	structure	NOUN
ejpam-6079	269	8	of	of	ADP
ejpam-6079	269	9	cell	cell	NOUN
ejpam-6079	269	10	probabilities	probability	NOUN
ejpam-6079	269	11	regarding	regard	VERB
ejpam-6079	269	12	the	the	DET
ejpam-6079	269	13	anti	anti	ADJ
ejpam-6079	269	14	-	-	ADJ
ejpam-6079	269	15	diagonal	diagonal	ADJ
ejpam-6079	269	16	cells	cell	NOUN
ejpam-6079	269	17	of	of	ADP
ejpam-6079	269	18	the	the	DET
ejpam-6079	269	19	table	table	NOUN
ejpam-6079	269	20	,	,	PUNCT
ejpam-6079	269	21	and	and	CCONJ
ejpam-6079	269	22	is	be	AUX
ejpam-6079	269	23	corresponding	correspond	VERB
ejpam-6079	269	24	to	to	ADP
ejpam-6079	269	25	the	the	DET
ejpam-6079	269	26	dps	dps	NOUN
ejpam-6079	269	27	model	model	NOUN
ejpam-6079	269	28	,	,	PUNCT
ejpam-6079	269	29	which	which	PRON
ejpam-6079	269	30	represents	represent	VERB
ejpam-6079	269	31	the	the	DET
ejpam-6079	269	32	asymmetric	asymmetric	ADJ
ejpam-6079	269	33	structure	structure	NOUN
ejpam-6079	269	34	of	of	ADP
ejpam-6079	269	35	cell	cell	NOUN
ejpam-6079	269	36	probabilities	probability	NOUN
ejpam-6079	269	37	regarding	regard	VERB
ejpam-6079	269	38	the	the	DET
ejpam-6079	269	39	main	main	ADJ
ejpam-6079	269	40	-	-	PUNCT
ejpam-6079	269	41	diagonal	diagonal	ADJ
ejpam-6079	269	42	cells	cell	NOUN
ejpam-6079	269	43	of	of	ADP
ejpam-6079	269	44	the	the	DET
ejpam-6079	269	45	table	table	NOUN
ejpam-6079	269	46	.	.	PUNCT
ejpam-6079	270	1	furthermore	furthermore	ADV
ejpam-6079	270	2	,	,	PUNCT
ejpam-6079	270	3	this	this	DET
ejpam-6079	270	4	study	study	NOUN
ejpam-6079	270	5	presented	present	VERB
ejpam-6079	270	6	the	the	DET
ejpam-6079	270	7	separation	separation	NOUN
ejpam-6079	270	8	of	of	ADP
ejpam-6079	270	9	the	the	PRON
ejpam-6079	270	10	as	as	ADP
ejpam-6079	270	11	model	model	NOUN
ejpam-6079	270	12	using	use	VERB
ejpam-6079	270	13	the	the	DET
ejpam-6079	270	14	adps	adps	NOUN
ejpam-6079	270	15	model	model	NOUN
ejpam-6079	270	16	(	(	PUNCT
ejpam-6079	270	17	see	see	VERB
ejpam-6079	270	18	theorem	theorem	NOUN
ejpam-6079	270	19	2	2	NUM
ejpam-6079	270	20	)	)	PUNCT
ejpam-6079	270	21	,	,	PUNCT
ejpam-6079	270	22	and	and	CCONJ
ejpam-6079	270	23	separation	separation	NOUN
ejpam-6079	270	24	of	of	ADP
ejpam-6079	270	25	the	the	DET
ejpam-6079	270	26	test	test	NOUN
ejpam-6079	270	27	statistic	statistic	NOUN
ejpam-6079	270	28	for	for	ADP
ejpam-6079	270	29	the	the	PRON
ejpam-6079	270	30	as	as	ADP
ejpam-6079	270	31	model	model	NOUN
ejpam-6079	270	32	(	(	PUNCT
ejpam-6079	270	33	see	see	VERB
ejpam-6079	270	34	theorem	theorem	NOUN
ejpam-6079	270	35	4	4	NUM
ejpam-6079	270	36	)	)	PUNCT
ejpam-6079	270	37	.	.	PUNCT
ejpam-6079	271	1	the	the	DET
ejpam-6079	271	2	proposed	propose	VERB
ejpam-6079	271	3	model	model	NOUN
ejpam-6079	271	4	was	be	AUX
ejpam-6079	271	5	demonstrated	demonstrate	VERB
ejpam-6079	271	6	to	to	PART
ejpam-6079	271	7	offer	offer	VERB
ejpam-6079	271	8	significant	significant	ADJ
ejpam-6079	271	9	advantages	advantage	NOUN
ejpam-6079	271	10	through	through	ADP
ejpam-6079	271	11	its	its	PRON
ejpam-6079	271	12	application	application	NOUN
ejpam-6079	271	13	to	to	ADP
ejpam-6079	271	14	a	a	DET
ejpam-6079	271	15	real	real	ADJ
ejpam-6079	271	16	dataset	dataset	NOUN
ejpam-6079	271	17	in	in	ADP
ejpam-6079	271	18	table	table	NOUN
ejpam-6079	271	19	1	1	NUM
ejpam-6079	271	20	.	.	PUNCT
ejpam-6079	272	1	the	the	DET
ejpam-6079	272	2	hypothesis	hypothesis	NOUN
ejpam-6079	272	3	was	be	AUX
ejpam-6079	272	4	that	that	SCONJ
ejpam-6079	272	5	males	male	NOUN
ejpam-6079	272	6	with	with	ADP
ejpam-6079	272	7	high	high	ADJ
ejpam-6079	272	8	grip	grip	NOUN
ejpam-6079	272	9	strength	strength	NOUN
ejpam-6079	272	10	levels	level	NOUN
ejpam-6079	272	11	are	be	AUX
ejpam-6079	272	12	less	less	ADV
ejpam-6079	272	13	prevalent	prevalent	ADJ
ejpam-6079	272	14	than	than	ADP
ejpam-6079	272	15	males	male	NOUN
ejpam-6079	272	16	with	with	ADP
ejpam-6079	272	17	low	low	ADJ
ejpam-6079	272	18	grip	grip	NOUN
ejpam-6079	272	19	strength	strength	NOUN
ejpam-6079	272	20	levels	level	NOUN
ejpam-6079	272	21	.	.	PUNCT
ejpam-6079	273	1	furthermore	furthermore	ADV
ejpam-6079	273	2	,	,	PUNCT
ejpam-6079	273	3	it	it	PRON
ejpam-6079	273	4	was	be	AUX
ejpam-6079	273	5	demonstrated	demonstrate	VERB
ejpam-6079	273	6	that	that	SCONJ
ejpam-6079	273	7	the	the	DET
ejpam-6079	273	8	established	establish	VERB
ejpam-6079	273	9	criteria	criterion	NOUN
ejpam-6079	273	10	for	for	ADP
ejpam-6079	273	11	determining	determine	VERB
ejpam-6079	273	12	grip	grip	NOUN
ejpam-6079	273	13	strength	strength	NOUN
ejpam-6079	273	14	levels	level	NOUN
ejpam-6079	273	15	were	be	AUX
ejpam-6079	273	16	ineffective	ineffective	ADJ
ejpam-6079	273	17	.	.	PUNCT
ejpam-6079	274	1	the	the	DET
ejpam-6079	274	2	adps	adps	PROPN
ejpam-6079	274	3	model	model	NOUN
ejpam-6079	274	4	is	be	AUX
ejpam-6079	274	5	saturated	saturate	VERB
ejpam-6079	274	6	in	in	ADP
ejpam-6079	274	7	the	the	DET
ejpam-6079	274	8	following	follow	VERB
ejpam-6079	274	9	cells	cell	NOUN
ejpam-6079	274	10	:	:	PUNCT
ejpam-6079	274	11	the	the	DET
ejpam-6079	274	12	1st	1st	PROPN
ejpam-6079	274	13	row	row	NOUN
ejpam-6079	274	14	and	and	CCONJ
ejpam-6079	274	15	1st	1st	ADJ
ejpam-6079	274	16	column	column	NOUN
ejpam-6079	274	17	cell	cell	NOUN
ejpam-6079	274	18	,	,	PUNCT
ejpam-6079	274	19	the	the	DET
ejpam-6079	274	20	rth	rth	NOUN
ejpam-6079	274	21	row	row	PROPN
ejpam-6079	274	22	and	and	CCONJ
ejpam-6079	274	23	rth	rth	NOUN
ejpam-6079	274	24	column	column	NOUN
ejpam-6079	274	25	cell	cell	NOUN
ejpam-6079	274	26	,	,	PUNCT
ejpam-6079	274	27	and	and	CCONJ
ejpam-6079	274	28	the	the	DET
ejpam-6079	274	29	anti	anti	ADJ
ejpam-6079	274	30	-	-	ADJ
ejpam-6079	274	31	diagonal	diagonal	ADJ
ejpam-6079	274	32	cells	cell	NOUN
ejpam-6079	274	33	of	of	ADP
ejpam-6079	274	34	the	the	DET
ejpam-6079	274	35	table	table	NOUN
ejpam-6079	274	36	.	.	PUNCT
ejpam-6079	275	1	it	it	PRON
ejpam-6079	275	2	can	can	AUX
ejpam-6079	275	3	be	be	AUX
ejpam-6079	275	4	demonstrated	demonstrate	VERB
ejpam-6079	275	5	that	that	SCONJ
ejpam-6079	275	6	the	the	DET
ejpam-6079	275	7	observed	observed	ADJ
ejpam-6079	275	8	frequencies	frequency	NOUN
ejpam-6079	275	9	are	be	AUX
ejpam-6079	275	10	equal	equal	ADJ
ejpam-6079	275	11	to	to	ADP
ejpam-6079	275	12	the	the	DET
ejpam-6079	275	13	estimated	estimate	VERB
ejpam-6079	275	14	values	value	NOUN
ejpam-6079	275	15	for	for	ADP
ejpam-6079	275	16	the	the	DET
ejpam-6079	275	17	(	(	PUNCT
ejpam-6079	275	18	1,1)th	1,1)th	NOUN
ejpam-6079	275	19	and	and	CCONJ
ejpam-6079	275	20	(	(	PUNCT
ejpam-6079	275	21	r	r	NOUN
ejpam-6079	275	22	,	,	PUNCT
ejpam-6079	275	23	r)th	r)th	PROPN
ejpam-6079	275	24	cells	cell	NOUN
ejpam-6079	275	25	.	.	PUNCT
ejpam-6079	276	1	given	give	VERB
ejpam-6079	276	2	that	that	PRON
ejpam-6079	276	3	observations	observation	NOUN
ejpam-6079	276	4	in	in	ADP
ejpam-6079	276	5	square	square	ADJ
ejpam-6079	276	6	tables	table	NOUN
ejpam-6079	276	7	tend	tend	VERB
ejpam-6079	276	8	to	to	PART
ejpam-6079	276	9	concentrate	concentrate	VERB
ejpam-6079	276	10	on	on	ADP
ejpam-6079	276	11	the	the	DET
ejpam-6079	276	12	main	main	ADJ
ejpam-6079	276	13	diagonal	diagonal	ADJ
ejpam-6079	276	14	cells	cell	NOUN
ejpam-6079	276	15	,	,	PUNCT
ejpam-6079	276	16	analysts	analyst	NOUN
ejpam-6079	276	17	may	may	AUX
ejpam-6079	276	18	wish	wish	VERB
ejpam-6079	276	19	to	to	PART
ejpam-6079	276	20	consider	consider	VERB
ejpam-6079	276	21	a	a	DET
ejpam-6079	276	22	model	model	NOUN
ejpam-6079	276	23	that	that	PRON
ejpam-6079	276	24	is	be	AUX
ejpam-6079	276	25	saturated	saturate	VERB
ejpam-6079	276	26	on	on	ADP
ejpam-6079	276	27	only	only	ADV
ejpam-6079	276	28	the	the	DET
ejpam-6079	276	29	anti	anti	ADJ
ejpam-6079	276	30	-	-	ADJ
ejpam-6079	276	31	diagonal	diagonal	ADJ
ejpam-6079	276	32	cells	cell	NOUN
ejpam-6079	276	33	.	.	PUNCT
ejpam-6079	277	1	one	one	NUM
ejpam-6079	277	2	potential	potential	ADJ
ejpam-6079	277	3	approach	approach	NOUN
ejpam-6079	277	4	is	be	AUX
ejpam-6079	277	5	to	to	PART
ejpam-6079	277	6	apply	apply	VERB
ejpam-6079	277	7	a	a	DET
ejpam-6079	277	8	model	model	NOUN
ejpam-6079	277	9	corresponding	correspond	VERB
ejpam-6079	277	10	to	to	ADP
ejpam-6079	277	11	the	the	DET
ejpam-6079	277	12	ldps	ldps	PROPN
ejpam-6079	277	13	model	model	PROPN
ejpam-6079	277	14	,	,	PUNCT
ejpam-6079	277	15	which	which	PRON
ejpam-6079	277	16	represents	represent	VERB
ejpam-6079	277	17	an	an	DET
ejpam-6079	277	18	asymmetric	asymmetric	ADJ
ejpam-6079	277	19	structure	structure	NOUN
ejpam-6079	277	20	regarding	regard	VERB
ejpam-6079	277	21	the	the	DET
ejpam-6079	277	22	main	main	ADJ
ejpam-6079	277	23	diagonal	diagonal	ADJ
ejpam-6079	277	24	cells	cell	NOUN
ejpam-6079	277	25	.	.	PUNCT
ejpam-6079	278	1	the	the	DET
ejpam-6079	278	2	double	double	ADJ
ejpam-6079	278	3	linear	linear	NOUN
ejpam-6079	278	4	diagonals	diagonal	NOUN
ejpam-6079	278	5	-	-	PUNCT
ejpam-6079	278	6	parameter	parameter	NOUN
ejpam-6079	278	7	symmetry	symmetry	NOUN
ejpam-6079	278	8	model	model	PROPN
ejpam-6079	278	9	tahata	tahata	PROPN
ejpam-6079	278	10	and	and	CCONJ
ejpam-6079	278	11	tomizawa	tomizawa	NOUN
ejpam-6079	279	1	[	[	X
ejpam-6079	279	2	20	20	NUM
ejpam-6079	279	3	]	]	PUNCT
ejpam-6079	279	4	has	have	VERB
ejpam-6079	279	5	both	both	CCONJ
ejpam-6079	279	6	the	the	DET
ejpam-6079	279	7	structure	structure	NOUN
ejpam-6079	279	8	of	of	ADP
ejpam-6079	279	9	the	the	DET
ejpam-6079	279	10	ldps	ldps	PROPN
ejpam-6079	279	11	model	model	NOUN
ejpam-6079	279	12	with	with	ADP
ejpam-6079	279	13	respect	respect	NOUN
ejpam-6079	279	14	to	to	ADP
ejpam-6079	279	15	the	the	DET
ejpam-6079	279	16	main	main	ADJ
ejpam-6079	279	17	diagonal	diagonal	NOUN
ejpam-6079	279	18	of	of	ADP
ejpam-6079	279	19	the	the	DET
ejpam-6079	279	20	table	table	NOUN
ejpam-6079	279	21	and	and	CCONJ
ejpam-6079	279	22	the	the	DET
ejpam-6079	279	23	structure	structure	NOUN
ejpam-6079	279	24	of	of	ADP
ejpam-6079	279	25	the	the	DET
ejpam-6079	279	26	ldps	ldps	PROPN
ejpam-6079	279	27	model	model	NOUN
ejpam-6079	279	28	with	with	ADP
ejpam-6079	279	29	respect	respect	NOUN
ejpam-6079	279	30	to	to	ADP
ejpam-6079	279	31	the	the	DET
ejpam-6079	279	32	anti	anti	ADJ
ejpam-6079	279	33	-	-	ADJ
ejpam-6079	279	34	diagonal	diagonal	ADJ
ejpam-6079	279	35	of	of	ADP
ejpam-6079	279	36	the	the	DET
ejpam-6079	279	37	table	table	NOUN
ejpam-6079	279	38	.	.	PUNCT
ejpam-6079	280	1	the	the	DET
ejpam-6079	280	2	model	model	NOUN
ejpam-6079	280	3	comprising	comprise	VERB
ejpam-6079	280	4	s.	s.	PROPN
ejpam-6079	280	5	ando	ando	PROPN
ejpam-6079	280	6	/	/	SYM
ejpam-6079	280	7	eur	eur	PROPN
ejpam-6079	280	8	.	.	PUNCT
ejpam-6079	281	1	j.	j.	PROPN
ejpam-6079	281	2	pure	pure	PROPN
ejpam-6079	281	3	appl	appl	PROPN
ejpam-6079	281	4	.	.	PROPN
ejpam-6079	281	5	math	math	PROPN
ejpam-6079	281	6	,	,	PUNCT
ejpam-6079	281	7	18	18	NUM
ejpam-6079	281	8	(	(	PUNCT
ejpam-6079	281	9	2	2	NUM
ejpam-6079	281	10	)	)	PUNCT
ejpam-6079	281	11	(	(	PUNCT
ejpam-6079	281	12	2025	2025	NUM
ejpam-6079	281	13	)	)	PUNCT
ejpam-6079	281	14	,	,	PUNCT
ejpam-6079	281	15	6079	6079	NUM
ejpam-6079	281	16	13	13	NUM
ejpam-6079	281	17	of	of	ADP
ejpam-6079	281	18	14	14	NUM
ejpam-6079	281	19	solely	solely	ADV
ejpam-6079	281	20	the	the	DET
ejpam-6079	281	21	latter	latter	ADJ
ejpam-6079	281	22	structure	structure	NOUN
ejpam-6079	281	23	is	be	AUX
ejpam-6079	281	24	saturated	saturate	VERB
ejpam-6079	281	25	exclusively	exclusively	ADV
ejpam-6079	281	26	on	on	ADP
ejpam-6079	281	27	the	the	DET
ejpam-6079	281	28	anti	anti	ADJ
ejpam-6079	281	29	-	-	ADJ
ejpam-6079	281	30	diagonal	diagonal	ADJ
ejpam-6079	281	31	cells	cell	NOUN
ejpam-6079	281	32	.	.	PUNCT
ejpam-6079	282	1	however	however	ADV
ejpam-6079	282	2	,	,	PUNCT
ejpam-6079	282	3	it	it	PRON
ejpam-6079	282	4	is	be	AUX
ejpam-6079	282	5	beyond	beyond	ADP
ejpam-6079	282	6	the	the	DET
ejpam-6079	282	7	scope	scope	NOUN
ejpam-6079	282	8	of	of	ADP
ejpam-6079	282	9	this	this	DET
ejpam-6079	282	10	study	study	NOUN
ejpam-6079	282	11	to	to	PART
ejpam-6079	282	12	investigate	investigate	VERB
ejpam-6079	282	13	the	the	DET
ejpam-6079	282	14	utility	utility	NOUN
ejpam-6079	282	15	of	of	ADP
ejpam-6079	282	16	this	this	DET
ejpam-6079	282	17	model	model	NOUN
ejpam-6079	282	18	for	for	ADP
ejpam-6079	282	19	application	application	NOUN
ejpam-6079	282	20	to	to	ADP
ejpam-6079	282	21	real	real	ADJ
ejpam-6079	282	22	-	-	PUNCT
ejpam-6079	282	23	world	world	NOUN
ejpam-6079	282	24	data	datum	NOUN
ejpam-6079	282	25	.	.	PUNCT
ejpam-6079	283	1	this	this	PRON
ejpam-6079	283	2	is	be	AUX
ejpam-6079	283	3	a	a	DET
ejpam-6079	283	4	topic	topic	NOUN
ejpam-6079	283	5	for	for	ADP
ejpam-6079	283	6	future	future	ADJ
ejpam-6079	283	7	research	research	NOUN
ejpam-6079	283	8	.	.	PUNCT
ejpam-6079	284	1	acknowledgements	acknowledgement	NOUN
ejpam-6079	284	2	the	the	DET
ejpam-6079	284	3	author	author	NOUN
ejpam-6079	284	4	would	would	AUX
ejpam-6079	284	5	like	like	VERB
ejpam-6079	284	6	to	to	PART
ejpam-6079	284	7	thank	thank	VERB
ejpam-6079	284	8	the	the	DET
ejpam-6079	284	9	anonymous	anonymous	ADJ
ejpam-6079	284	10	reviewers	reviewer	NOUN
ejpam-6079	284	11	and	and	CCONJ
ejpam-6079	284	12	the	the	DET
ejpam-6079	284	13	editors	editor	NOUN
ejpam-6079	284	14	for	for	ADP
ejpam-6079	284	15	their	their	PRON
ejpam-6079	284	16	comments	comment	NOUN
ejpam-6079	284	17	and	and	CCONJ
ejpam-6079	284	18	suggestions	suggestion	NOUN
ejpam-6079	284	19	to	to	PART
ejpam-6079	284	20	improve	improve	VERB
ejpam-6079	284	21	this	this	DET
ejpam-6079	284	22	paper	paper	NOUN
ejpam-6079	284	23	.	.	PUNCT
ejpam-6079	285	1	references	reference	NOUN
ejpam-6079	285	2	[	[	X
ejpam-6079	285	3	1	1	NUM
ejpam-6079	285	4	]	]	PUNCT
ejpam-6079	285	5	h	h	PROPN
ejpam-6079	285	6	bowker	bowker	PROPN
ejpam-6079	285	7	.	.	PUNCT
ejpam-6079	286	1	a	a	DET
ejpam-6079	286	2	test	test	NOUN
ejpam-6079	286	3	for	for	ADP
ejpam-6079	286	4	symmetry	symmetry	NOUN
ejpam-6079	286	5	in	in	ADP
ejpam-6079	286	6	contingency	contingency	NOUN
ejpam-6079	286	7	tables	table	NOUN
ejpam-6079	286	8	.	.	PUNCT
ejpam-6079	287	1	journal	journal	NOUN
ejpam-6079	287	2	of	of	ADP
ejpam-6079	287	3	the	the	DET
ejpam-6079	287	4	american	american	PROPN
ejpam-6079	287	5	statistical	statistical	PROPN
ejpam-6079	287	6	association	association	NOUN
ejpam-6079	287	7	,	,	PUNCT
ejpam-6079	287	8	43(244):572–574	43(244):572–574	PROPN
ejpam-6079	287	9	,	,	PUNCT
ejpam-6079	287	10	1948	1948	NUM
ejpam-6079	287	11	.	.	PUNCT
ejpam-6079	288	1	[	[	X
ejpam-6079	288	2	2	2	NUM
ejpam-6079	288	3	]	]	PUNCT
ejpam-6079	288	4	h	h	NOUN
ejpam-6079	288	5	caussinus	caussinus	NOUN
ejpam-6079	288	6	.	.	PUNCT
ejpam-6079	289	1	contribution	contribution	NOUN
ejpam-6079	289	2	à	à	PROPN
ejpam-6079	289	3	l’analyse	l’analyse	PROPN
ejpam-6079	289	4	statistique	statistique	PROPN
ejpam-6079	289	5	des	des	X
ejpam-6079	289	6	tableaux	tableaux	X
ejpam-6079	289	7	de	de	X
ejpam-6079	289	8	corrélation	corrélation	NOUN
ejpam-6079	289	9	.	.	PUNCT
ejpam-6079	290	1	annales	annales	PROPN
ejpam-6079	290	2	de	de	X
ejpam-6079	290	3	la	la	X
ejpam-6079	290	4	faculté	faculté	X
ejpam-6079	290	5	des	des	PROPN
ejpam-6079	290	6	sciences	sciences	PROPN
ejpam-6079	290	7	de	de	X
ejpam-6079	290	8	l’université	l’université	PROPN
ejpam-6079	290	9	de	de	X
ejpam-6079	290	10	toulouse	toulouse	NOUN
ejpam-6079	290	11	,	,	PUNCT
ejpam-6079	290	12	29:77–183	29:77–183	NUM
ejpam-6079	290	13	,	,	PUNCT
ejpam-6079	290	14	1965	1965	NUM
ejpam-6079	290	15	.	.	PUNCT
ejpam-6079	291	1	[	[	X
ejpam-6079	291	2	3	3	X
ejpam-6079	291	3	]	]	PUNCT
ejpam-6079	291	4	a	a	DET
ejpam-6079	291	5	stuart	stuart	PROPN
ejpam-6079	291	6	.	.	PUNCT
ejpam-6079	292	1	a	a	DET
ejpam-6079	292	2	test	test	NOUN
ejpam-6079	292	3	for	for	ADP
ejpam-6079	292	4	homogeneity	homogeneity	NOUN
ejpam-6079	292	5	of	of	ADP
ejpam-6079	292	6	the	the	DET
ejpam-6079	292	7	marginal	marginal	ADJ
ejpam-6079	292	8	distributions	distribution	NOUN
ejpam-6079	292	9	in	in	ADP
ejpam-6079	292	10	a	a	DET
ejpam-6079	292	11	two	two	NUM
ejpam-6079	292	12	-	-	PUNCT
ejpam-6079	292	13	way	way	NOUN
ejpam-6079	292	14	classification	classification	NOUN
ejpam-6079	292	15	.	.	PUNCT
ejpam-6079	293	1	biometrika	biometrika	NOUN
ejpam-6079	293	2	,	,	PUNCT
ejpam-6079	293	3	42(3/4):412–416	42(3/4):412–416	NUM
ejpam-6079	293	4	,	,	PUNCT
ejpam-6079	293	5	1955	1955	NUM
ejpam-6079	293	6	.	.	PUNCT
ejpam-6079	294	1	[	[	X
ejpam-6079	294	2	4	4	X
ejpam-6079	294	3	]	]	PUNCT
ejpam-6079	294	4	p	p	X
ejpam-6079	294	5	mccullagh	mccullagh	NOUN
ejpam-6079	294	6	.	.	PUNCT
ejpam-6079	295	1	a	a	DET
ejpam-6079	295	2	class	class	NOUN
ejpam-6079	295	3	of	of	ADP
ejpam-6079	295	4	parametric	parametric	ADJ
ejpam-6079	295	5	models	model	NOUN
ejpam-6079	295	6	for	for	ADP
ejpam-6079	295	7	the	the	DET
ejpam-6079	295	8	analysis	analysis	NOUN
ejpam-6079	295	9	of	of	ADP
ejpam-6079	295	10	square	square	ADJ
ejpam-6079	295	11	contingency	contingency	NOUN
ejpam-6079	295	12	tables	table	NOUN
ejpam-6079	295	13	with	with	ADP
ejpam-6079	295	14	ordered	order	VERB
ejpam-6079	295	15	categories	category	NOUN
ejpam-6079	295	16	.	.	PUNCT
ejpam-6079	296	1	biometrika	biometrika	NOUN
ejpam-6079	296	2	,	,	PUNCT
ejpam-6079	296	3	65(2):413–418	65(2):413–418	NOUN
ejpam-6079	296	4	,	,	PUNCT
ejpam-6079	296	5	1978	1978	NUM
ejpam-6079	296	6	.	.	PUNCT
ejpam-6079	297	1	[	[	X
ejpam-6079	297	2	5	5	NUM
ejpam-6079	297	3	]	]	PUNCT
ejpam-6079	297	4	a	a	DET
ejpam-6079	297	5	goodman	goodman	PROPN
ejpam-6079	297	6	.	.	PUNCT
ejpam-6079	298	1	multiplicative	multiplicative	ADJ
ejpam-6079	298	2	models	model	NOUN
ejpam-6079	298	3	for	for	ADP
ejpam-6079	298	4	square	square	ADJ
ejpam-6079	298	5	contingency	contingency	NOUN
ejpam-6079	298	6	tables	table	NOUN
ejpam-6079	298	7	with	with	ADP
ejpam-6079	298	8	ordered	order	VERB
ejpam-6079	298	9	categories	category	NOUN
ejpam-6079	298	10	.	.	PUNCT
ejpam-6079	299	1	biometrika	biometrika	PROPN
ejpam-6079	299	2	,	,	PUNCT
ejpam-6079	299	3	66(3):413–418	66(3):413–418	PROPN
ejpam-6079	299	4	,	,	PUNCT
ejpam-6079	299	5	1979	1979	NUM
ejpam-6079	299	6	.	.	PUNCT
ejpam-6079	300	1	[	[	X
ejpam-6079	300	2	6	6	NUM
ejpam-6079	300	3	]	]	PUNCT
ejpam-6079	300	4	a	a	DET
ejpam-6079	300	5	agresti	agresti	NOUN
ejpam-6079	300	6	.	.	PUNCT
ejpam-6079	301	1	a	a	DET
ejpam-6079	301	2	simple	simple	ADJ
ejpam-6079	301	3	diagonals	diagonal	NOUN
ejpam-6079	301	4	-	-	PUNCT
ejpam-6079	301	5	parameter	parameter	NOUN
ejpam-6079	301	6	symmetry	symmetry	NOUN
ejpam-6079	301	7	and	and	CCONJ
ejpam-6079	301	8	quasi	quasi	ADJ
ejpam-6079	301	9	-	-	ADJ
ejpam-6079	301	10	symmetry	symmetry	ADJ
ejpam-6079	301	11	model	model	NOUN
ejpam-6079	301	12	.	.	PUNCT
ejpam-6079	302	1	statistics	statistic	NOUN
ejpam-6079	302	2	&	&	CCONJ
ejpam-6079	302	3	probability	probability	NOUN
ejpam-6079	302	4	letters	letter	NOUN
ejpam-6079	302	5	,	,	PUNCT
ejpam-6079	302	6	1(6):313–316	1(6):313–316	NUM
ejpam-6079	302	7	,	,	PUNCT
ejpam-6079	302	8	1983	1983	NUM
ejpam-6079	302	9	.	.	PUNCT
ejpam-6079	303	1	[	[	X
ejpam-6079	303	2	7	7	X
ejpam-6079	303	3	]	]	X
ejpam-6079	303	4	k	k	PROPN
ejpam-6079	303	5	yamamoto	yamamoto	PROPN
ejpam-6079	303	6	,	,	PUNCT
ejpam-6079	303	7	m	m	PROPN
ejpam-6079	303	8	aizawa	aizawa	PROPN
ejpam-6079	303	9	,	,	PUNCT
ejpam-6079	303	10	and	and	CCONJ
ejpam-6079	303	11	s	s	VERB
ejpam-6079	303	12	tomizawa	tomizawa	PROPN
ejpam-6079	303	13	.	.	PUNCT
ejpam-6079	304	1	measure	measure	NOUN
ejpam-6079	304	2	of	of	ADP
ejpam-6079	304	3	departure	departure	NOUN
ejpam-6079	304	4	from	from	ADP
ejpam-6079	304	5	sum	sum	NOUN
ejpam-6079	304	6	-	-	PUNCT
ejpam-6079	304	7	symmetry	symmetry	NOUN
ejpam-6079	304	8	model	model	NOUN
ejpam-6079	304	9	for	for	ADP
ejpam-6079	304	10	square	square	ADJ
ejpam-6079	304	11	contingency	contingency	NOUN
ejpam-6079	304	12	tables	table	NOUN
ejpam-6079	304	13	with	with	ADP
ejpam-6079	304	14	ordered	order	VERB
ejpam-6079	304	15	categories	category	NOUN
ejpam-6079	304	16	.	.	PUNCT
ejpam-6079	305	1	journal	journal	PROPN
ejpam-6079	305	2	of	of	ADP
ejpam-6079	305	3	statistics	statistic	NOUN
ejpam-6079	305	4	:	:	PUNCT
ejpam-6079	305	5	advances	advance	NOUN
ejpam-6079	305	6	in	in	ADP
ejpam-6079	305	7	theory	theory	NOUN
ejpam-6079	305	8	and	and	CCONJ
ejpam-6079	305	9	applications	application	NOUN
ejpam-6079	305	10	,	,	PUNCT
ejpam-6079	305	11	16:17–43	16:17–43	NUM
ejpam-6079	305	12	,	,	PUNCT
ejpam-6079	305	13	2016	2016	NUM
ejpam-6079	305	14	.	.	PUNCT
ejpam-6079	306	1	[	[	X
ejpam-6079	306	2	8	8	NUM
ejpam-6079	306	3	]	]	X
ejpam-6079	306	4	k	k	PROPN
ejpam-6079	306	5	iki	iki	PROPN
ejpam-6079	306	6	.	.	PUNCT
ejpam-6079	307	1	analysis	analysis	NOUN
ejpam-6079	307	2	of	of	ADP
ejpam-6079	307	3	the	the	DET
ejpam-6079	307	4	grip	grip	NOUN
ejpam-6079	307	5	strength	strength	NOUN
ejpam-6079	307	6	data	datum	NOUN
ejpam-6079	307	7	using	use	VERB
ejpam-6079	307	8	anti	anti	ADJ
ejpam-6079	307	9	-	-	ADJ
ejpam-6079	307	10	diagonal	diagonal	ADJ
ejpam-6079	307	11	symmetry	symmetry	NOUN
ejpam-6079	307	12	models	model	NOUN
ejpam-6079	307	13	.	.	PUNCT
ejpam-6079	308	1	open	open	ADJ
ejpam-6079	308	2	journal	journal	PROPN
ejpam-6079	308	3	of	of	ADP
ejpam-6079	308	4	statistics	statistic	NOUN
ejpam-6079	308	5	,	,	PUNCT
ejpam-6079	308	6	6(04):590	6(04):590	NUM
ejpam-6079	308	7	,	,	PUNCT
ejpam-6079	308	8	2016	2016	NUM
ejpam-6079	308	9	.	.	PUNCT
ejpam-6079	309	1	[	[	X
ejpam-6079	309	2	9	9	NUM
ejpam-6079	309	3	]	]	SYM
ejpam-6079	309	4	s	s	X
ejpam-6079	309	5	ando	ando	PROPN
ejpam-6079	309	6	.	.	PUNCT
ejpam-6079	310	1	an	an	DET
ejpam-6079	310	2	anti	anti	ADJ
ejpam-6079	310	3	-	-	ADJ
ejpam-6079	310	4	sum	sum	ADJ
ejpam-6079	310	5	-	-	PUNCT
ejpam-6079	310	6	symmetry	symmetry	NOUN
ejpam-6079	310	7	model	model	NOUN
ejpam-6079	310	8	and	and	CCONJ
ejpam-6079	310	9	its	its	PRON
ejpam-6079	310	10	orthogonal	orthogonal	ADJ
ejpam-6079	310	11	decomposition	decomposition	NOUN
ejpam-6079	310	12	for	for	ADP
ejpam-6079	310	13	ordinal	ordinal	ADJ
ejpam-6079	310	14	square	square	ADJ
ejpam-6079	310	15	contingency	contingency	NOUN
ejpam-6079	310	16	tables	table	NOUN
ejpam-6079	310	17	with	with	ADP
ejpam-6079	310	18	an	an	DET
ejpam-6079	310	19	application	application	NOUN
ejpam-6079	310	20	to	to	PART
ejpam-6079	310	21	grip	grip	NOUN
ejpam-6079	310	22	strength	strength	NOUN
ejpam-6079	310	23	test	test	NOUN
ejpam-6079	310	24	data	data	PROPN
ejpam-6079	310	25	.	.	PUNCT
ejpam-6079	311	1	biometrical	biometrical	ADJ
ejpam-6079	311	2	letters	letter	NOUN
ejpam-6079	311	3	,	,	PUNCT
ejpam-6079	311	4	58(1):59–68	58(1):59–68	NUM
ejpam-6079	311	5	,	,	PUNCT
ejpam-6079	311	6	2021	2021	NUM
ejpam-6079	311	7	.	.	PUNCT
ejpam-6079	312	1	[	[	X
ejpam-6079	312	2	10	10	NUM
ejpam-6079	312	3	]	]	SYM
ejpam-6079	312	4	s	s	X
ejpam-6079	312	5	ando	ando	PROPN
ejpam-6079	312	6	.	.	PUNCT
ejpam-6079	313	1	anti	anti	ADJ
ejpam-6079	313	2	-	-	ADJ
ejpam-6079	313	3	sum	sum	ADJ
ejpam-6079	313	4	-	-	PUNCT
ejpam-6079	313	5	asymmetry	asymmetry	NOUN
ejpam-6079	313	6	models	model	NOUN
ejpam-6079	313	7	and	and	CCONJ
ejpam-6079	313	8	orthogonal	orthogonal	ADJ
ejpam-6079	313	9	decomposition	decomposition	NOUN
ejpam-6079	313	10	of	of	ADP
ejpam-6079	313	11	anti	anti	ADJ
ejpam-6079	313	12	-	-	ADJ
ejpam-6079	313	13	sumsymmetry	sumsymmetry	ADJ
ejpam-6079	313	14	model	model	NOUN
ejpam-6079	313	15	for	for	ADP
ejpam-6079	313	16	ordinal	ordinal	ADJ
ejpam-6079	313	17	square	square	ADJ
ejpam-6079	313	18	contingency	contingency	NOUN
ejpam-6079	313	19	tables	table	NOUN
ejpam-6079	313	20	.	.	PUNCT
ejpam-6079	314	1	austrian	austrian	ADJ
ejpam-6079	314	2	journal	journal	PROPN
ejpam-6079	314	3	of	of	ADP
ejpam-6079	314	4	statistics	statistic	NOUN
ejpam-6079	314	5	,	,	PUNCT
ejpam-6079	314	6	52(1):72–86	52(1):72–86	NUM
ejpam-6079	314	7	,	,	PUNCT
ejpam-6079	314	8	2023	2023	NUM
ejpam-6079	314	9	.	.	PUNCT
ejpam-6079	315	1	[	[	X
ejpam-6079	315	2	11	11	NUM
ejpam-6079	315	3	]	]	X
ejpam-6079	315	4	s	s	VERB
ejpam-6079	315	5	tomizawa	tomizawa	PROPN
ejpam-6079	315	6	.	.	PUNCT
ejpam-6079	316	1	four	four	NUM
ejpam-6079	316	2	kinds	kind	NOUN
ejpam-6079	316	3	of	of	ADP
ejpam-6079	316	4	symmetry	symmetry	NOUN
ejpam-6079	316	5	models	model	NOUN
ejpam-6079	316	6	and	and	CCONJ
ejpam-6079	316	7	their	their	PRON
ejpam-6079	316	8	decompositions	decomposition	NOUN
ejpam-6079	316	9	in	in	ADP
ejpam-6079	316	10	a	a	DET
ejpam-6079	316	11	square	square	ADJ
ejpam-6079	316	12	contingency	contingency	NOUN
ejpam-6079	316	13	table	table	NOUN
ejpam-6079	316	14	with	with	ADP
ejpam-6079	316	15	ordered	order	VERB
ejpam-6079	316	16	categories	category	NOUN
ejpam-6079	316	17	.	.	PUNCT
ejpam-6079	317	1	biometrical	biometrical	ADJ
ejpam-6079	317	2	journal	journal	PROPN
ejpam-6079	317	3	,	,	PUNCT
ejpam-6079	317	4	28(4):387–393	28(4):387–393	PROPN
ejpam-6079	317	5	,	,	PUNCT
ejpam-6079	317	6	1986	1986	NUM
ejpam-6079	317	7	.	.	PUNCT
ejpam-6079	318	1	[	[	X
ejpam-6079	318	2	12	12	NUM
ejpam-6079	318	3	]	]	X
ejpam-6079	318	4	b	b	NOUN
ejpam-6079	318	5	read	read	NOUN
ejpam-6079	318	6	.	.	PUNCT
ejpam-6079	319	1	partitioning	partition	VERB
ejpam-6079	319	2	chi	chi	NOUN
ejpam-6079	319	3	-	-	PUNCT
ejpam-6079	319	4	squape	squape	NOUN
ejpam-6079	319	5	in	in	ADP
ejpam-6079	319	6	contingency	contingency	NOUN
ejpam-6079	319	7	tables	table	NOUN
ejpam-6079	319	8	:	:	PUNCT
ejpam-6079	319	9	a	a	DET
ejpam-6079	319	10	teaching	teaching	NOUN
ejpam-6079	319	11	approach	approach	NOUN
ejpam-6079	319	12	.	.	PUNCT
ejpam-6079	320	1	communications	communication	NOUN
ejpam-6079	320	2	in	in	ADP
ejpam-6079	320	3	statistics	statistic	NOUN
ejpam-6079	320	4	-	-	PUNCT
ejpam-6079	320	5	theory	theory	NOUN
ejpam-6079	320	6	and	and	CCONJ
ejpam-6079	320	7	methods	method	NOUN
ejpam-6079	320	8	,	,	PUNCT
ejpam-6079	320	9	6(6):553–562	6(6):553–562	NUM
ejpam-6079	320	10	,	,	PUNCT
ejpam-6079	320	11	1977	1977	NUM
ejpam-6079	320	12	.	.	PUNCT
ejpam-6079	321	1	[	[	X
ejpam-6079	321	2	13	13	NUM
ejpam-6079	321	3	]	]	SYM
ejpam-6079	321	4	s	s	PART
ejpam-6079	321	5	tomizawa	tomizawa	PROPN
ejpam-6079	321	6	and	and	CCONJ
ejpam-6079	321	7	y	y	PROPN
ejpam-6079	321	8	kato	kato	PROPN
ejpam-6079	321	9	.	.	PUNCT
ejpam-6079	322	1	measure	measure	NOUN
ejpam-6079	322	2	of	of	ADP
ejpam-6079	322	3	diagonals	diagonal	NOUN
ejpam-6079	322	4	-	-	PUNCT
ejpam-6079	322	5	parameter	parameter	NOUN
ejpam-6079	322	6	symmetry	symmetry	NOUN
ejpam-6079	322	7	and	and	CCONJ
ejpam-6079	322	8	decomposition	decomposition	NOUN
ejpam-6079	322	9	of	of	ADP
ejpam-6079	322	10	measure	measure	NOUN
ejpam-6079	322	11	of	of	ADP
ejpam-6079	322	12	sub	sub	NOUN
ejpam-6079	322	13	-	-	NOUN
ejpam-6079	322	14	symmetry	symmetry	NOUN
ejpam-6079	322	15	for	for	ADP
ejpam-6079	322	16	square	square	ADJ
ejpam-6079	322	17	contingency	contingency	NOUN
ejpam-6079	322	18	tables	table	NOUN
ejpam-6079	322	19	with	with	ADP
ejpam-6079	322	20	ordered	order	VERB
ejpam-6079	322	21	categories	category	NOUN
ejpam-6079	322	22	.	.	PUNCT
ejpam-6079	323	1	far	far	PROPN
ejpam-6079	323	2	east	east	PROPN
ejpam-6079	323	3	journal	journal	PROPN
ejpam-6079	323	4	of	of	ADP
ejpam-6079	323	5	theoretical	theoretical	ADJ
ejpam-6079	323	6	statistics	statistic	NOUN
ejpam-6079	323	7	,	,	PUNCT
ejpam-6079	323	8	9(2):81–96	9(2):81–96	NUM
ejpam-6079	323	9	,	,	PUNCT
ejpam-6079	323	10	2003	2003	NUM
ejpam-6079	323	11	.	.	PUNCT
ejpam-6079	324	1	[	[	X
ejpam-6079	324	2	14	14	NUM
ejpam-6079	324	3	]	]	PUNCT
ejpam-6079	324	4	h	h	NOUN
ejpam-6079	324	5	kurakami	kurakami	NOUN
ejpam-6079	324	6	,	,	PUNCT
ejpam-6079	324	7	n	n	CCONJ
ejpam-6079	324	8	negishi	negishi	NOUN
ejpam-6079	324	9	,	,	PUNCT
ejpam-6079	324	10	and	and	CCONJ
ejpam-6079	324	11	s	s	VERB
ejpam-6079	324	12	tomizawa	tomizawa	NOUN
ejpam-6079	324	13	.	.	PUNCT
ejpam-6079	325	1	on	on	ADP
ejpam-6079	325	2	decomposition	decomposition	NOUN
ejpam-6079	325	3	of	of	ADP
ejpam-6079	325	4	point	point	NOUN
ejpam-6079	325	5	-	-	PUNCT
ejpam-6079	325	6	symmetry	symmetry	NOUN
ejpam-6079	325	7	for	for	ADP
ejpam-6079	325	8	s.	s.	PROPN
ejpam-6079	325	9	ando	ando	PROPN
ejpam-6079	325	10	/	/	SYM
ejpam-6079	325	11	eur	eur	PROPN
ejpam-6079	325	12	.	.	PUNCT
ejpam-6079	326	1	j.	j.	PROPN
ejpam-6079	326	2	pure	pure	PROPN
ejpam-6079	326	3	appl	appl	PROPN
ejpam-6079	326	4	.	.	PROPN
ejpam-6079	326	5	math	math	PROPN
ejpam-6079	326	6	,	,	PUNCT
ejpam-6079	326	7	18	18	NUM
ejpam-6079	326	8	(	(	PUNCT
ejpam-6079	326	9	2	2	NUM
ejpam-6079	326	10	)	)	PUNCT
ejpam-6079	326	11	(	(	PUNCT
ejpam-6079	326	12	2025	2025	NUM
ejpam-6079	326	13	)	)	PUNCT
ejpam-6079	326	14	,	,	PUNCT
ejpam-6079	326	15	6079	6079	NUM
ejpam-6079	326	16	14	14	NUM
ejpam-6079	326	17	of	of	ADP
ejpam-6079	326	18	14	14	NUM
ejpam-6079	326	19	square	square	ADJ
ejpam-6079	326	20	contingency	contingency	NOUN
ejpam-6079	326	21	tables	table	NOUN
ejpam-6079	326	22	with	with	ADP
ejpam-6079	326	23	ordered	order	VERB
ejpam-6079	326	24	categories	category	NOUN
ejpam-6079	326	25	.	.	PUNCT
ejpam-6079	327	1	journal	journal	PROPN
ejpam-6079	327	2	of	of	ADP
ejpam-6079	327	3	statistics	statistic	NOUN
ejpam-6079	327	4	:	:	PUNCT
ejpam-6079	327	5	advances	advance	NOUN
ejpam-6079	327	6	in	in	ADP
ejpam-6079	327	7	theory	theory	NOUN
ejpam-6079	327	8	and	and	CCONJ
ejpam-6079	327	9	applications	application	NOUN
ejpam-6079	327	10	,	,	PUNCT
ejpam-6079	327	11	17(1):33–42	17(1):33–42	NUM
ejpam-6079	327	12	,	,	PUNCT
ejpam-6079	327	13	2017	2017	NUM
ejpam-6079	327	14	.	.	PUNCT
ejpam-6079	328	1	[	[	X
ejpam-6079	328	2	15	15	NUM
ejpam-6079	328	3	]	]	X
ejpam-6079	328	4	k	k	PROPN
ejpam-6079	328	5	iki	iki	PROPN
ejpam-6079	328	6	and	and	CCONJ
ejpam-6079	328	7	s	s	PROPN
ejpam-6079	328	8	tomizawa	tomizawa	PROPN
ejpam-6079	328	9	.	.	PUNCT
ejpam-6079	328	10	measure	measure	NOUN
ejpam-6079	328	11	of	of	ADP
ejpam-6079	328	12	departure	departure	NOUN
ejpam-6079	328	13	from	from	ADP
ejpam-6079	328	14	point	point	NOUN
ejpam-6079	328	15	symmetry	symmetry	NOUN
ejpam-6079	328	16	and	and	CCONJ
ejpam-6079	328	17	decomposition	decomposition	NOUN
ejpam-6079	328	18	of	of	ADP
ejpam-6079	328	19	measure	measure	NOUN
ejpam-6079	328	20	for	for	ADP
ejpam-6079	328	21	square	square	ADJ
ejpam-6079	328	22	contingency	contingency	NOUN
ejpam-6079	328	23	tables	table	NOUN
ejpam-6079	328	24	.	.	PUNCT
ejpam-6079	329	1	journal	journal	NOUN
ejpam-6079	329	2	of	of	ADP
ejpam-6079	329	3	statistical	statistical	ADJ
ejpam-6079	329	4	theory	theory	NOUN
ejpam-6079	329	5	and	and	CCONJ
ejpam-6079	329	6	applications	application	NOUN
ejpam-6079	329	7	,	,	PUNCT
ejpam-6079	329	8	19(4):526–533	19(4):526–533	PROPN
ejpam-6079	329	9	,	,	PUNCT
ejpam-6079	329	10	2020	2020	NUM
ejpam-6079	329	11	.	.	PUNCT
ejpam-6079	330	1	[	[	X
ejpam-6079	330	2	16	16	NUM
ejpam-6079	330	3	]	]	X
ejpam-6079	330	4	s	s	X
ejpam-6079	330	5	ando	ando	PROPN
ejpam-6079	330	6	.	.	PUNCT
ejpam-6079	331	1	a	a	DET
ejpam-6079	331	2	directional	directional	ADJ
ejpam-6079	331	3	measure	measure	NOUN
ejpam-6079	331	4	for	for	ADP
ejpam-6079	331	5	reverse	reverse	ADJ
ejpam-6079	331	6	global	global	ADJ
ejpam-6079	331	7	symmetry	symmetry	NOUN
ejpam-6079	331	8	in	in	ADP
ejpam-6079	331	9	square	square	ADJ
ejpam-6079	331	10	contingency	contingency	NOUN
ejpam-6079	331	11	tables	table	NOUN
ejpam-6079	331	12	with	with	ADP
ejpam-6079	331	13	application	application	NOUN
ejpam-6079	331	14	to	to	ADP
ejpam-6079	331	15	unaided	unaided	ADJ
ejpam-6079	331	16	vision	vision	NOUN
ejpam-6079	331	17	data	datum	NOUN
ejpam-6079	331	18	.	.	PUNCT
ejpam-6079	332	1	metron	metron	PROPN
ejpam-6079	332	2	,	,	PUNCT
ejpam-6079	332	3	79(3):273–283	79(3):273–283	PROPN
ejpam-6079	332	4	,	,	PUNCT
ejpam-6079	332	5	2021	2021	NUM
ejpam-6079	332	6	.	.	PUNCT
ejpam-6079	333	1	[	[	X
ejpam-6079	333	2	17	17	NUM
ejpam-6079	333	3	]	]	PUNCT
ejpam-6079	333	4	a	a	DET
ejpam-6079	333	5	agresti	agresti	NOUN
ejpam-6079	333	6	.	.	PUNCT
ejpam-6079	334	1	an	an	DET
ejpam-6079	334	2	introduction	introduction	NOUN
ejpam-6079	334	3	to	to	ADP
ejpam-6079	334	4	categorical	categorical	ADJ
ejpam-6079	334	5	data	datum	NOUN
ejpam-6079	334	6	analysis	analysis	NOUN
ejpam-6079	334	7	.	.	PUNCT
ejpam-6079	335	1	wiley	wiley	PROPN
ejpam-6079	335	2	,	,	PUNCT
ejpam-6079	335	3	hoboken	hoboken	PROPN
ejpam-6079	335	4	,	,	PUNCT
ejpam-6079	335	5	new	new	PROPN
ejpam-6079	335	6	jersey	jersey	PROPN
ejpam-6079	335	7	,	,	PUNCT
ejpam-6079	335	8	3	3	NUM
ejpam-6079	335	9	edition	edition	NOUN
ejpam-6079	335	10	,	,	PUNCT
ejpam-6079	335	11	2018	2018	NUM
ejpam-6079	335	12	.	.	PUNCT
ejpam-6079	336	1	[	[	X
ejpam-6079	336	2	18	18	NUM
ejpam-6079	336	3	]	]	X
ejpam-6079	336	4	h	h	NOUN
ejpam-6079	336	5	akaike	akaike	ADJ
ejpam-6079	336	6	.	.	PUNCT
ejpam-6079	337	1	a	a	DET
ejpam-6079	337	2	new	new	ADJ
ejpam-6079	337	3	look	look	NOUN
ejpam-6079	337	4	at	at	ADP
ejpam-6079	337	5	the	the	DET
ejpam-6079	337	6	statistical	statistical	ADJ
ejpam-6079	337	7	model	model	NOUN
ejpam-6079	337	8	identification	identification	NOUN
ejpam-6079	337	9	.	.	PUNCT
ejpam-6079	338	1	ieee	ieee	NOUN
ejpam-6079	338	2	transactions	transaction	NOUN
ejpam-6079	338	3	on	on	ADP
ejpam-6079	338	4	automatic	automatic	ADJ
ejpam-6079	338	5	control	control	NOUN
ejpam-6079	338	6	,	,	PUNCT
ejpam-6079	338	7	19(6):716–723	19(6):716–723	NUM
ejpam-6079	338	8	,	,	PUNCT
ejpam-6079	338	9	1974	1974	NUM
ejpam-6079	338	10	.	.	PUNCT
ejpam-6079	339	1	[	[	X
ejpam-6079	339	2	19	19	NUM
ejpam-6079	339	3	]	]	X
ejpam-6079	339	4	g	g	PROPN
ejpam-6079	339	5	schwarz	schwarz	PROPN
ejpam-6079	339	6	.	.	PUNCT
ejpam-6079	339	7	estimating	estimate	VERB
ejpam-6079	339	8	the	the	DET
ejpam-6079	339	9	dimension	dimension	NOUN
ejpam-6079	339	10	of	of	ADP
ejpam-6079	339	11	a	a	DET
ejpam-6079	339	12	model	model	NOUN
ejpam-6079	339	13	.	.	PUNCT
ejpam-6079	340	1	annals	annal	NOUN
ejpam-6079	340	2	of	of	ADP
ejpam-6079	340	3	statistics	statistic	NOUN
ejpam-6079	340	4	,	,	PUNCT
ejpam-6079	340	5	6(2):461–464	6(2):461–464	NUM
ejpam-6079	340	6	,	,	PUNCT
ejpam-6079	340	7	1978	1978	NUM
ejpam-6079	340	8	.	.	PUNCT
ejpam-6079	341	1	[	[	X
ejpam-6079	341	2	20	20	NUM
ejpam-6079	341	3	]	]	X
ejpam-6079	341	4	k	k	PROPN
ejpam-6079	341	5	tahata	tahata	PROPN
ejpam-6079	341	6	and	and	CCONJ
ejpam-6079	341	7	s	s	PROPN
ejpam-6079	341	8	tomizawa	tomizawa	PROPN
ejpam-6079	341	9	.	.	PUNCT
ejpam-6079	342	1	double	double	ADJ
ejpam-6079	342	2	linear	linear	NOUN
ejpam-6079	342	3	diagonals	diagonal	NOUN
ejpam-6079	342	4	-	-	PUNCT
ejpam-6079	342	5	parameter	parameter	NOUN
ejpam-6079	342	6	symmetry	symmetry	NOUN
ejpam-6079	342	7	and	and	CCONJ
ejpam-6079	342	8	decomposition	decomposition	NOUN
ejpam-6079	342	9	of	of	ADP
ejpam-6079	342	10	double	double	ADJ
ejpam-6079	342	11	symmetry	symmetry	NOUN
ejpam-6079	342	12	for	for	ADP
ejpam-6079	342	13	square	square	ADJ
ejpam-6079	342	14	tables	table	NOUN
ejpam-6079	342	15	.	.	PUNCT
ejpam-6079	343	1	statistical	statistical	ADJ
ejpam-6079	343	2	methods	method	NOUN
ejpam-6079	343	3	&	&	CCONJ
ejpam-6079	343	4	applications	application	NOUN
ejpam-6079	343	5	,	,	PUNCT
ejpam-6079	343	6	19:307–318	19:307–318	NUM
ejpam-6079	343	7	,	,	PUNCT
ejpam-6079	343	8	2010	2010	NUM
ejpam-6079	343	9	.	.	PUNCT