id	sid	tid	token	lemma	pos
cuesj-1333	1	1	tx_1	tx_1	PROPN
cuesj-1333	1	2	~	~	X
cuesj-1333	1	3	abs	ab	NOUN
cuesj-1333	1	4	:	:	PUNCT
cuesj-1333	1	5	at	at	ADP
cuesj-1333	1	6	/	/	SYM
cuesj-1333	1	7	add	add	VERB
cuesj-1333	1	8	:	:	PUNCT
cuesj-1333	1	9	tx_2	tx_2	PROPN
cuesj-1333	1	10	~	~	NOUN
cuesj-1333	1	11	abs	ab	NOUN
cuesj-1333	1	12	:	:	PUNCT
cuesj-1333	1	13	at	at	ADP
cuesj-1333	1	14	8	8	NUM
cuesj-1333	1	15	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1333	1	16	cuesj	cuesj	NOUN
cuesj-1333	1	17	2025	2025	NUM
cuesj-1333	1	18	,	,	PUNCT
cuesj-1333	1	19	9	9	NUM
cuesj-1333	1	20	(	(	PUNCT
cuesj-1333	1	21	1	1	NUM
cuesj-1333	1	22	):	):	PUNCT
cuesj-1333	1	23	8	8	NUM
cuesj-1333	1	24	-	-	SYM
cuesj-1333	1	25	13	13	NUM
cuesj-1333	1	26	research	research	NOUN
cuesj-1333	1	27	article	article	NOUN
cuesj-1333	1	28	analyzing	analyze	VERB
cuesj-1333	1	29	the	the	DET
cuesj-1333	1	30	football	football	NOUN
cuesj-1333	1	31	sports	sport	NOUN
cuesj-1333	1	32	outcomes	outcome	NOUN
cuesj-1333	1	33	by	by	ADP
cuesj-1333	1	34	the	the	DET
cuesj-1333	1	35	two	two	NUM
cuesj-1333	1	36	types	type	NOUN
cuesj-1333	1	37	branching	branch	VERB
cuesj-1333	1	38	markov	markov	NOUN
cuesj-1333	1	39	process	process	NOUN
cuesj-1333	1	40	:	:	PUNCT
cuesj-1333	1	41	real	real	PROPN
cuesj-1333	1	42	madrid	madrid	PROPN
cuesj-1333	1	43	football	football	NOUN
cuesj-1333	1	44	club	club	NOUN
cuesj-1333	1	45	as	as	ADP
cuesj-1333	1	46	a	a	DET
cuesj-1333	1	47	case	case	NOUN
cuesj-1333	1	48	study	study	NOUN
cuesj-1333	1	49	bestoon	bestoon	NOUN
cuesj-1333	1	50	m.	m.	PROPN
cuesj-1333	1	51	abdullkarim¹	abdullkarim¹	PROPN
cuesj-1333	1	52	,	,	PUNCT
cuesj-1333	1	53	azhin	azhin	PROPN
cuesj-1333	1	54	m.	m.	PROPN
cuesj-1333	1	55	khudhur¹	khudhur¹	PROPN
cuesj-1333	1	56	,	,	PUNCT
cuesj-1333	1	57	dler	dler	NOUN
cuesj-1333	1	58	h.	h.	PROPN
cuesj-1333	1	59	kadir	kadir	PROPN
cuesj-1333	1	60	¹'²	¹'²	PROPN
cuesj-1333	1	61	¹department	¹department	PROPN
cuesj-1333	1	62	of	of	ADP
cuesj-1333	1	63	statistics	statistic	NOUN
cuesj-1333	1	64	and	and	CCONJ
cuesj-1333	1	65	informatics	informatic	NOUN
cuesj-1333	1	66	,	,	PUNCT
cuesj-1333	1	67	college	college	NOUN
cuesj-1333	1	68	of	of	ADP
cuesj-1333	1	69	administration	administration	NOUN
cuesj-1333	1	70	and	and	CCONJ
cuesj-1333	1	71	economics	economic	NOUN
cuesj-1333	1	72	,	,	PUNCT
cuesj-1333	1	73	salahaddin	salahaddin	VERB
cuesj-1333	1	74	university	university	NOUN
cuesj-1333	1	75	-	-	PUNCT
cuesj-1333	1	76	erbil	erbil	PROPN
cuesj-1333	1	77	,	,	PUNCT
cuesj-1333	1	78	iraq	iraq	PROPN
cuesj-1333	1	79	²department	²department	PROPN
cuesj-1333	1	80	of	of	ADP
cuesj-1333	1	81	business	business	NOUN
cuesj-1333	1	82	administration	administration	NOUN
cuesj-1333	1	83	,	,	PUNCT
cuesj-1333	1	84	cihan	cihan	VERB
cuesj-1333	1	85	university	university	NOUN
cuesj-1333	1	86	-	-	PUNCT
cuesj-1333	1	87	erbil	erbil	PROPN
cuesj-1333	1	88	,	,	PUNCT
cuesj-1333	1	89	kurdistan	kurdistan	ADJ
cuesj-1333	1	90	region	region	NOUN
cuesj-1333	1	91	,	,	PUNCT
cuesj-1333	1	92	iraq	iraq	PROPN
cuesj-1333	1	93	abstract	abstract	NOUN
cuesj-1333	1	94	in	in	ADP
cuesj-1333	1	95	this	this	DET
cuesj-1333	1	96	research	research	NOUN
cuesj-1333	1	97	the	the	DET
cuesj-1333	1	98	football	football	NOUN
cuesj-1333	1	99	sport	sport	NOUN
cuesj-1333	1	100	outcomes	outcome	NOUN
cuesj-1333	1	101	are	be	AUX
cuesj-1333	1	102	analyzed	analyze	VERB
cuesj-1333	1	103	by	by	ADP
cuesj-1333	1	104	the	the	DET
cuesj-1333	1	105	two	two	NUM
cuesj-1333	1	106	-	-	PUNCT
cuesj-1333	1	107	type	type	NOUN
cuesj-1333	1	108	branching	branch	VERB
cuesj-1333	1	109	markov	markov	NOUN
cuesj-1333	1	110	process	process	NOUN
cuesj-1333	1	111	,	,	PUNCT
cuesj-1333	1	112	assuming	assume	VERB
cuesj-1333	1	113	that	that	SCONJ
cuesj-1333	1	114	the	the	DET
cuesj-1333	1	115	outcomes	outcome	NOUN
cuesj-1333	1	116	occur	occur	VERB
cuesj-1333	1	117	as	as	ADP
cuesj-1333	1	118	a	a	DET
cuesj-1333	1	119	poisson	poisson	NOUN
cuesj-1333	1	120	process	process	NOUN
cuesj-1333	1	121	and	and	CCONJ
cuesj-1333	1	122	are	be	AUX
cuesj-1333	1	123	described	describe	VERB
cuesj-1333	1	124	by	by	ADP
cuesj-1333	1	125	the	the	DET
cuesj-1333	1	126	two	two	NUM
cuesj-1333	1	127	-	-	PUNCT
cuesj-1333	1	128	state	state	NOUN
cuesj-1333	1	129	markov	markov	NOUN
cuesj-1333	1	130	process	process	NOUN
cuesj-1333	1	131	.	.	PUNCT
cuesj-1333	2	1	for	for	ADP
cuesj-1333	2	2	this	this	DET
cuesj-1333	2	3	study	study	NOUN
cuesj-1333	2	4	,	,	PUNCT
cuesj-1333	2	5	the	the	DET
cuesj-1333	2	6	number	number	NOUN
cuesj-1333	2	7	of	of	ADP
cuesj-1333	2	8	losses	loss	NOUN
cuesj-1333	2	9	,	,	PUNCT
cuesj-1333	2	10	wins	win	NOUN
cuesj-1333	2	11	,	,	PUNCT
cuesj-1333	2	12	and	and	CCONJ
cuesj-1333	2	13	trophy	trophy	NOUN
cuesj-1333	2	14	results	result	NOUN
cuesj-1333	2	15	of	of	ADP
cuesj-1333	2	16	the	the	DET
cuesj-1333	2	17	real	real	PROPN
cuesj-1333	2	18	madrid	madrid	PROPN
cuesj-1333	2	19	football	football	NOUN
cuesj-1333	2	20	club	club	NOUN
cuesj-1333	2	21	for	for	ADP
cuesj-1333	2	22	24	24	NUM
cuesj-1333	2	23	 	 	SPACE
cuesj-1333	2	24	years	year	NOUN
cuesj-1333	2	25	(	(	PUNCT
cuesj-1333	2	26	2000–2024	2000–2024	NUM
cuesj-1333	2	27	)	)	PUNCT
cuesj-1333	2	28	are	be	AUX
cuesj-1333	2	29	obtained	obtain	VERB
cuesj-1333	2	30	from	from	ADP
cuesj-1333	2	31	the	the	DET
cuesj-1333	2	32	kooora	kooora	PROPN
cuesj-1333	2	33	website	website	NOUN
cuesj-1333	2	34	.	.	PUNCT
cuesj-1333	3	1	this	this	DET
cuesj-1333	3	2	study	study	NOUN
cuesj-1333	3	3	aimed	aim	VERB
cuesj-1333	3	4	to	to	PART
cuesj-1333	3	5	determine	determine	VERB
cuesj-1333	3	6	the	the	DET
cuesj-1333	3	7	probabilities	probability	NOUN
cuesj-1333	3	8	of	of	ADP
cuesj-1333	3	9	two	two	NUM
cuesj-1333	3	10	state	state	NOUN
cuesj-1333	3	11	outcomes	outcome	NOUN
cuesj-1333	3	12	,	,	PUNCT
cuesj-1333	3	13	the	the	DET
cuesj-1333	3	14	time	time	NOUN
cuesj-1333	3	15	the	the	DET
cuesj-1333	3	16	process	process	NOUN
cuesj-1333	3	17	stays	stay	VERB
cuesj-1333	3	18	in	in	ADP
cuesj-1333	3	19	each	each	DET
cuesj-1333	3	20	state	state	NOUN
cuesj-1333	3	21	and	and	CCONJ
cuesj-1333	3	22	the	the	DET
cuesj-1333	3	23	expected	expect	VERB
cuesj-1333	3	24	number	number	NOUN
cuesj-1333	3	25	of	of	ADP
cuesj-1333	3	26	the	the	DET
cuesj-1333	3	27	two	two	NUM
cuesj-1333	3	28	types	type	NOUN
cuesj-1333	3	29	for	for	ADP
cuesj-1333	3	30	successive	successive	ADJ
cuesj-1333	3	31	periods	period	NOUN
cuesj-1333	3	32	.	.	PUNCT
cuesj-1333	4	1	in	in	ADP
cuesj-1333	4	2	conclusion	conclusion	NOUN
cuesj-1333	4	3	,	,	PUNCT
cuesj-1333	4	4	the	the	DET
cuesj-1333	4	5	expected	expect	VERB
cuesj-1333	4	6	number	number	NOUN
cuesj-1333	4	7	of	of	ADP
cuesj-1333	4	8	real	real	ADJ
cuesj-1333	4	9	madrid	madrid	PROPN
cuesj-1333	4	10	football	football	NOUN
cuesj-1333	4	11	sports	sport	NOUN
cuesj-1333	4	12	outcomes	outcome	NOUN
cuesj-1333	4	13	for	for	ADP
cuesj-1333	4	14	successive	successive	ADJ
cuesj-1333	4	15	game	game	NOUN
cuesj-1333	4	16	times	time	NOUN
cuesj-1333	4	17	are	be	AUX
cuesj-1333	4	18	continually	continually	ADV
cuesj-1333	4	19	decreasing	decrease	VERB
cuesj-1333	4	20	until	until	ADP
cuesj-1333	4	21	the	the	DET
cuesj-1333	4	22	number	number	NOUN
cuesj-1333	4	23	of	of	ADP
cuesj-1333	4	24	games	game	NOUN
cuesj-1333	4	25	.	.	PUNCT
cuesj-1333	5	1	keywords	keyword	NOUN
cuesj-1333	5	2	:	:	PUNCT
cuesj-1333	5	3	two	two	NUM
cuesj-1333	5	4	-	-	PUNCT
cuesj-1333	5	5	state	state	NOUN
cuesj-1333	5	6	markov	markov	NOUN
cuesj-1333	5	7	process	process	NOUN
cuesj-1333	5	8	,	,	PUNCT
cuesj-1333	5	9	two	two	NUM
cuesj-1333	5	10	-	-	PUNCT
cuesj-1333	5	11	type	type	NOUN
cuesj-1333	5	12	branching	branch	VERB
cuesj-1333	5	13	process	process	NOUN
cuesj-1333	5	14	,	,	PUNCT
cuesj-1333	5	15	probability	probability	NOUN
cuesj-1333	5	16	generating	generating	NOUN
cuesj-1333	5	17	function	function	NOUN
cuesj-1333	5	18	,	,	PUNCT
cuesj-1333	5	19	trophy	trophy	NOUN
cuesj-1333	5	20	,	,	PUNCT
cuesj-1333	5	21	win	win	VERB
cuesj-1333	5	22	and	and	CCONJ
cuesj-1333	5	23	lose	lose	VERB
cuesj-1333	5	24	introduction	introduction	NOUN
cuesj-1333	5	25	the	the	DET
cuesj-1333	5	26	stochastic	stochastic	ADJ
cuesj-1333	5	27	branching	branch	VERB
cuesj-1333	5	28	process	process	NOUN
cuesj-1333	5	29	played	play	VERB
cuesj-1333	5	30	a	a	DET
cuesj-1333	5	31	great	great	ADJ
cuesj-1333	5	32	role	role	NOUN
cuesj-1333	5	33	in	in	ADP
cuesj-1333	5	34	various	various	ADJ
cuesj-1333	5	35	scientific	scientific	ADJ
cuesj-1333	5	36	applications	application	NOUN
cuesj-1333	5	37	and	and	CCONJ
cuesj-1333	5	38	sports	sport	NOUN
cuesj-1333	5	39	activities	activity	NOUN
cuesj-1333	5	40	.	.	PUNCT
cuesj-1333	6	1	in	in	ADP
cuesj-1333	6	2	this	this	DET
cuesj-1333	6	3	work	work	NOUN
cuesj-1333	6	4	,	,	PUNCT
cuesj-1333	6	5	the	the	DET
cuesj-1333	6	6	two	two	NUM
cuesj-1333	6	7	types	type	NOUN
cuesj-1333	6	8	of	of	ADP
cuesj-1333	6	9	branching	branch	VERB
cuesj-1333	6	10	markov	markov	NOUN
cuesj-1333	6	11	process	process	NOUN
cuesj-1333	6	12	have	have	AUX
cuesj-1333	6	13	been	be	AUX
cuesj-1333	6	14	applied	apply	VERB
cuesj-1333	6	15	to	to	ADP
cuesj-1333	6	16	football	football	NOUN
cuesj-1333	6	17	sport	sport	NOUN
cuesj-1333	6	18	outcomes	outcome	NOUN
cuesj-1333	6	19	.	.	PUNCT
cuesj-1333	7	1	this	this	DET
cuesj-1333	7	2	study	study	NOUN
cuesj-1333	7	3	is	be	AUX
cuesj-1333	7	4	in	in	ADP
cuesj-1333	7	5	three	three	NUM
cuesj-1333	7	6	sections	section	NOUN
cuesj-1333	7	7	,	,	PUNCT
cuesj-1333	7	8	the	the	DET
cuesj-1333	7	9	first	first	ADJ
cuesj-1333	7	10	one	one	NOUN
cuesj-1333	7	11	includes	include	VERB
cuesj-1333	7	12	the	the	DET
cuesj-1333	7	13	concept	concept	NOUN
cuesj-1333	7	14	of	of	ADP
cuesj-1333	7	15	the	the	DET
cuesj-1333	7	16	markov	markov	NOUN
cuesj-1333	7	17	process	process	NOUN
cuesj-1333	7	18	,	,	PUNCT
cuesj-1333	7	19	the	the	DET
cuesj-1333	7	20	transition	transition	NOUN
cuesj-1333	7	21	probabilities	probability	NOUN
cuesj-1333	7	22	of	of	ADP
cuesj-1333	7	23	two	two	NUM
cuesj-1333	7	24	states	state	NOUN
cuesj-1333	7	25	,	,	PUNCT
cuesj-1333	7	26	the	the	DET
cuesj-1333	7	27	expected	expect	VERB
cuesj-1333	7	28	time	time	NOUN
cuesj-1333	7	29	interval	interval	NOUN
cuesj-1333	7	30	the	the	DET
cuesj-1333	7	31	process	process	NOUN
cuesj-1333	7	32	stays	stay	VERB
cuesj-1333	7	33	in	in	ADP
cuesj-1333	7	34	each	each	DET
cuesj-1333	7	35	state	state	NOUN
cuesj-1333	7	36	,	,	PUNCT
cuesj-1333	7	37	and	and	CCONJ
cuesj-1333	7	38	the	the	DET
cuesj-1333	7	39	two	two	NUM
cuesj-1333	7	40	types	type	NOUN
cuesj-1333	7	41	of	of	ADP
cuesj-1333	7	42	branching	branch	VERB
cuesj-1333	7	43	process	process	NOUN
cuesj-1333	7	44	with	with	ADP
cuesj-1333	7	45	their	their	PRON
cuesj-1333	7	46	probability	probability	NOUN
cuesj-1333	7	47	generating	generating	NOUN
cuesj-1333	7	48	function	function	NOUN
cuesj-1333	7	49	.	.	PUNCT
cuesj-1333	8	1	the	the	DET
cuesj-1333	8	2	second	second	ADJ
cuesj-1333	8	3	section	section	NOUN
cuesj-1333	8	4	specified	specify	VERB
cuesj-1333	8	5	for	for	ADP
cuesj-1333	8	6	application	application	NOUN
cuesj-1333	8	7	,	,	PUNCT
cuesj-1333	8	8	involves	involve	VERB
cuesj-1333	8	9	describing	describe	VERB
cuesj-1333	8	10	and	and	CCONJ
cuesj-1333	8	11	analyzing	analyze	VERB
cuesj-1333	8	12	the	the	DET
cuesj-1333	8	13	data	datum	NOUN
cuesj-1333	8	14	about	about	ADP
cuesj-1333	8	15	the	the	DET
cuesj-1333	8	16	game	game	NOUN
cuesj-1333	8	17	outcomes	outcome	NOUN
cuesj-1333	8	18	of	of	ADP
cuesj-1333	8	19	real	real	PROPN
cuesj-1333	8	20	madrid	madrid	PROPN
cuesj-1333	8	21	football	football	NOUN
cuesj-1333	8	22	club	club	NOUN
cuesj-1333	8	23	during	during	ADP
cuesj-1333	8	24	(	(	PUNCT
cuesj-1333	8	25	2000–2024	2000–2024	NUM
cuesj-1333	8	26	)	)	PUNCT
cuesj-1333	8	27	.	.	PUNCT
cuesj-1333	9	1	the	the	DET
cuesj-1333	9	2	final	final	ADJ
cuesj-1333	9	3	section	section	NOUN
cuesj-1333	9	4	dedicated	dedicate	VERB
cuesj-1333	9	5	to	to	ADP
cuesj-1333	9	6	conclusions	conclusion	NOUN
cuesj-1333	9	7	,	,	PUNCT
cuesj-1333	9	8	indicates	indicate	VERB
cuesj-1333	9	9	the	the	DET
cuesj-1333	9	10	deduces	deduce	NOUN
cuesj-1333	9	11	which	which	PRON
cuesj-1333	9	12	are	be	AUX
cuesj-1333	9	13	found	find	VERB
cuesj-1333	9	14	from	from	ADP
cuesj-1333	9	15	the	the	DET
cuesj-1333	9	16	results	result	NOUN
cuesj-1333	9	17	of	of	ADP
cuesj-1333	9	18	the	the	DET
cuesj-1333	9	19	application	application	NOUN
cuesj-1333	9	20	.	.	PUNCT
cuesj-1333	10	1	methodology	methodology	NOUN
cuesj-1333	10	2	in	in	ADP
cuesj-1333	10	3	this	this	DET
cuesj-1333	10	4	study	study	NOUN
cuesj-1333	10	5	,	,	PUNCT
cuesj-1333	10	6	the	the	DET
cuesj-1333	10	7	markov	markov	NOUN
cuesj-1333	10	8	process	process	NOUN
cuesj-1333	10	9	,	,	PUNCT
cuesj-1333	10	10	the	the	DET
cuesj-1333	10	11	transition	transition	NOUN
cuesj-1333	10	12	probabilities	probability	NOUN
cuesj-1333	10	13	of	of	ADP
cuesj-1333	10	14	two	two	NUM
cuesj-1333	10	15	states	state	NOUN
cuesj-1333	10	16	,	,	PUNCT
cuesj-1333	10	17	two	two	NUM
cuesj-1333	10	18	types	type	NOUN
cuesj-1333	10	19	of	of	ADP
cuesj-1333	10	20	branching	branch	VERB
cuesj-1333	10	21	process	process	NOUN
cuesj-1333	10	22	,	,	PUNCT
cuesj-1333	10	23	and	and	CCONJ
cuesj-1333	10	24	the	the	DET
cuesj-1333	10	25	probability	probability	NOUN
cuesj-1333	10	26	generating	generate	VERB
cuesj-1333	10	27	function	function	NOUN
cuesj-1333	10	28	for	for	ADP
cuesj-1333	10	29	two	two	NUM
cuesj-1333	10	30	types	type	NOUN
cuesj-1333	10	31	.	.	PUNCT
cuesj-1333	11	1	markov	markov	NOUN
cuesj-1333	11	2	processes	process	VERB
cuesj-1333	11	3	a	a	DET
cuesj-1333	11	4	stochastic	stochastic	ADJ
cuesj-1333	11	5	process	process	NOUN
cuesj-1333	11	6	with	with	ADP
cuesj-1333	11	7	continuous	continuous	ADJ
cuesj-1333	11	8	time	time	NOUN
cuesj-1333	11	9	parameter	parameter	NOUN
cuesj-1333	11	10	{	{	PUNCT
cuesj-1333	11	11	x	x	X
cuesj-1333	11	12	(	(	PUNCT
cuesj-1333	11	13	t	t	PROPN
cuesj-1333	11	14	)	)	PUNCT
cuesj-1333	11	15	;	;	PUNCT
cuesj-1333	11	16	t	t	X
cuesj-1333	11	17	>	>	X
cuesj-1333	11	18	0	0	NUM
cuesj-1333	11	19	}	}	PUNCT
cuesj-1333	11	20	is	be	AUX
cuesj-1333	11	21	called	call	VERB
cuesj-1333	11	22	the	the	DET
cuesj-1333	11	23	markov	markov	NOUN
cuesj-1333	11	24	process	process	NOUN
cuesj-1333	11	25	if	if	SCONJ
cuesj-1333	11	26	for	for	ADP
cuesj-1333	11	27	any	any	DET
cuesj-1333	11	28	set	set	NOUN
cuesj-1333	11	29	of	of	ADP
cuesj-1333	11	30	periods	period	NOUN
cuesj-1333	11	31	t1	t1	VERB
cuesj-1333	11	32	<	<	X
cuesj-1333	11	33	t2	t2	PROPN
cuesj-1333	11	34	,	,	PUNCT
cuesj-1333	11	35	<	<	X
cuesj-1333	11	36	…	…	PUNCT
cuesj-1333	11	37	,	,	PUNCT
cuesj-1333	11	38	<	<	X
cuesj-1333	11	39	tn	tn	NOUN
cuesj-1333	11	40	if	if	SCONJ
cuesj-1333	11	41	the	the	DET
cuesj-1333	11	42	conditional	conditional	ADJ
cuesj-1333	11	43	probability	probability	NOUN
cuesj-1333	11	44	distribution	distribution	NOUN
cuesj-1333	11	45	of	of	ADP
cuesj-1333	11	46	x	x	X
cuesj-1333	11	47	(	(	PUNCT
cuesj-1333	11	48	tn	tn	NOUN
cuesj-1333	11	49	)	)	PUNCT
cuesj-1333	11	50	given	give	VERB
cuesj-1333	11	51	the	the	DET
cuesj-1333	11	52	values	value	NOUN
cuesj-1333	11	53	of	of	ADP
cuesj-1333	11	54	{	{	PUNCT
cuesj-1333	11	55	x	x	X
cuesj-1333	11	56	(	(	PUNCT
cuesj-1333	11	57	t0	t0	NOUN
cuesj-1333	11	58	)	)	PUNCT
cuesj-1333	11	59	,	,	PUNCT
cuesj-1333	11	60	x(t1	x(t1	PROPN
cuesj-1333	11	61	)	)	PUNCT
cuesj-1333	11	62	,	,	PUNCT
cuesj-1333	11	63	…	…	PUNCT
cuesj-1333	11	64	,	,	PUNCT
cuesj-1333	11	65	x(tn−1	x(tn−1	PUNCT
cuesj-1333	11	66	)	)	PUNCT
cuesj-1333	11	67	}	}	PUNCT
cuesj-1333	11	68	depends	depend	VERB
cuesj-1333	11	69	on	on	ADP
cuesj-1333	11	70	x(tn−1	x(tn−1	NOUN
cuesj-1333	11	71	)	)	PUNCT
cuesj-1333	11	72	only	only	ADV
cuesj-1333	11	73	,	,	PUNCT
cuesj-1333	11	74	as	as	ADP
cuesj-1333	11	75	defined.[1,2	defined.[1,2	X
cuesj-1333	11	76	]	]	X
cuesj-1333	11	77	p	p	X
cuesj-1333	11	78	x	x	X
cuesj-1333	11	79	t	t	NOUN
cuesj-1333	11	80	x	x	X
cuesj-1333	12	1	x	x	X
cuesj-1333	12	2	t	t	NOUN
cuesj-1333	12	3	x	x	X
cuesj-1333	12	4	x	x	X
cuesj-1333	12	5	t	t	NOUN
cuesj-1333	12	6	x	x	X
cuesj-1333	12	7	x	x	SYM
cuesj-1333	12	8	t	t	PROPN
cuesj-1333	12	9	xr	xr	PROPN
cuesj-1333	12	10	n	n	PROPN
cuesj-1333	12	11	n	n	CCONJ
cuesj-1333	12	12	n	n	CCONJ
cuesj-1333	12	13	n	n	CCONJ
cuesj-1333	12	14	[	[	PUNCT
cuesj-1333	12	15	|	|	NOUN
cuesj-1333	12	16	(	(	PUNCT
cuesj-1333	12	17	)	)	PUNCT
cuesj-1333	12	18	≤	≤	NOUN
cuesj-1333	13	1	(	(	PUNCT
cuesj-1333	13	2	)	)	PUNCT
cuesj-1333	13	3	=	=	SYM
cuesj-1333	13	4	(	(	PUNCT
cuesj-1333	13	5	)	)	PUNCT
cuesj-1333	13	6	=	=	SYM
cuesj-1333	13	7	…	…	PUNCT
cuesj-1333	13	8	(	(	PUNCT
cuesj-1333	13	9	)	)	PUNCT
cuesj-1333	13	10	=	=	X
cuesj-1333	13	11	−	−	NOUN
cuesj-1333	13	12	−0	−0	NOUN
cuesj-1333	13	13	0	0	NUM
cuesj-1333	13	14	1	1	NUM
cuesj-1333	13	15	1	1	NUM
cuesj-1333	13	16	1	1	NUM
cuesj-1333	13	17	1	1	NUM
cuesj-1333	13	18	,	,	PUNCT
cuesj-1333	13	19	�	�	PROPN
cuesj-1333	13	20	,	,	PUNCT
cuesj-1333	13	21	�	�	PROPN
cuesj-1333	13	22	�	�	PROPN
cuesj-1333	13	23	,	,	PUNCT
cuesj-1333	13	24	�	�	PROPN
cuesj-1333	13	25	]	]	PUNCT
cuesj-1333	13	26	=	=	PUNCT
cuesj-1333	13	27	(	(	PUNCT
cuesj-1333	13	28	)	)	PUNCT
cuesj-1333	13	29	≤	≤	NOUN
cuesj-1333	13	30	(	(	PUNCT
cuesj-1333	13	31	)	)	PUNCT
cuesj-1333	14	1	=	=	NOUN
cuesj-1333	14	2	−	−	NOUN
cuesj-1333	14	3	−p	−p	NOUN
cuesj-1333	14	4	x	x	X
cuesj-1333	14	5	t	t	NOUN
cuesj-1333	14	6	x	x	X
cuesj-1333	14	7	x	x	SYM
cuesj-1333	14	8	t	t	PROPN
cuesj-1333	14	9	xr	xr	PROPN
cuesj-1333	14	10	n	n	PROPN
cuesj-1333	14	11	n	n	CCONJ
cuesj-1333	14	12	n	n	CCONJ
cuesj-1333	14	13	n	n	CCONJ
cuesj-1333	14	14	[	[	PUNCT
cuesj-1333	14	15	|	|	ADJ
cuesj-1333	14	16	�	�	PROPN
cuesj-1333	14	17	�	�	PROPN
cuesj-1333	14	18	]	]	SYM
cuesj-1333	14	19	1	1	NUM
cuesj-1333	14	20	1	1	NUM
cuesj-1333	14	21	hence	hence	ADV
cuesj-1333	14	22	,	,	PUNCT
cuesj-1333	14	23	the	the	DET
cuesj-1333	14	24	two	two	NUM
cuesj-1333	14	25	-	-	PUNCT
cuesj-1333	14	26	state	state	NOUN
cuesj-1333	14	27	markov	markov	NOUN
cuesj-1333	14	28	process	process	NOUN
cuesj-1333	14	29	{	{	PUNCT
cuesj-1333	14	30	0	0	NUM
cuesj-1333	14	31	,	,	PUNCT
cuesj-1333	14	32	1	1	NUM
cuesj-1333	14	33	}	}	PUNCT
cuesj-1333	14	34	,	,	PUNCT
cuesj-1333	14	35	in	in	ADP
cuesj-1333	14	36	which	which	PRON
cuesj-1333	14	37	the	the	DET
cuesj-1333	14	38	process	process	NOUN
cuesj-1333	14	39	changes	change	VERB
cuesj-1333	14	40	its	its	PRON
cuesj-1333	14	41	state	state	NOUN
cuesj-1333	14	42	from	from	ADP
cuesj-1333	14	43	0	0	NUM
cuesj-1333	14	44	to	to	ADP
cuesj-1333	14	45	1	1	NUM
cuesj-1333	14	46	with	with	ADP
cuesj-1333	14	47	the	the	DET
cuesj-1333	14	48	rate	rate	NOUN
cuesj-1333	14	49	(	(	PUNCT
cuesj-1333	14	50	𝜆	𝜆	NOUN
cuesj-1333	14	51	)	)	PUNCT
cuesj-1333	14	52	and	and	CCONJ
cuesj-1333	14	53	from	from	ADP
cuesj-1333	14	54	1	1	NUM
cuesj-1333	14	55	to	to	ADP
cuesj-1333	14	56	0	0	NUM
cuesj-1333	14	57	with	with	ADP
cuesj-1333	14	58	the	the	DET
cuesj-1333	14	59	rate	rate	NOUN
cuesj-1333	14	60	(	(	PUNCT
cuesj-1333	14	61	µ	µ	NOUN
cuesj-1333	14	62	)	)	PUNCT
cuesj-1333	14	63	.	.	PUNCT
cuesj-1333	15	1	the	the	DET
cuesj-1333	15	2	transition	transition	NOUN
cuesj-1333	15	3	probabilities	probability	NOUN
cuesj-1333	15	4	for	for	ADP
cuesj-1333	15	5	the	the	DET
cuesj-1333	15	6	state	state	NOUN
cuesj-1333	15	7	markov	markov	NOUN
cuesj-1333	15	8	process	process	NOUN
cuesj-1333	15	9	pij(t)(i	pij(t)(i	NUM
cuesj-1333	15	10	,	,	PUNCT
cuesj-1333	15	11	j	j	PROPN
cuesj-1333	15	12	=	=	SYM
cuesj-1333	15	13	0,1	0,1	NUM
cuesj-1333	15	14	)	)	PUNCT
cuesj-1333	15	15	are	be	AUX
cuesj-1333	15	16	defined	define	VERB
cuesj-1333	15	17	as[3,4	as[3,4	PROPN
cuesj-1333	15	18	]	]	X
cuesj-1333	15	19	both	both	DET
cuesj-1333	15	20	rates	rate	NOUN
cuesj-1333	15	21	(	(	PUNCT
cuesj-1333	15	22	µ	µ	NOUN
cuesj-1333	15	23	,	,	PUNCT
cuesj-1333	15	24	λ	λ	NOUN
cuesj-1333	15	25	)	)	PUNCT
cuesj-1333	15	26	represent	represent	VERB
cuesj-1333	15	27	the	the	DET
cuesj-1333	15	28	waiting	waiting	NOUN
cuesj-1333	15	29	time	time	NOUN
cuesj-1333	15	30	between	between	ADP
cuesj-1333	15	31	transitions	transition	NOUN
cuesj-1333	15	32	in	in	ADP
cuesj-1333	15	33	exponential	exponential	ADJ
cuesj-1333	15	34	distribution	distribution	NOUN
cuesj-1333	15	35	.	.	PUNCT
cuesj-1333	16	1	the	the	DET
cuesj-1333	16	2	waiting	waiting	NOUN
cuesj-1333	16	3	time	time	NOUN
cuesj-1333	16	4	in	in	ADP
cuesj-1333	16	5	state	state	NOUN
cuesj-1333	16	6	0	0	NUM
cuesj-1333	16	7	is	be	AUX
cuesj-1333	16	8	referred	refer	VERB
cuesj-1333	16	9	to	to	ADP
cuesj-1333	16	10	as	as	ADP
cuesj-1333	16	11	µ	µ	NOUN
cuesj-1333	16	12	while	while	SCONJ
cuesj-1333	16	13	the	the	DET
cuesj-1333	16	14	λ	λ	PROPN
cuesj-1333	16	15	rate	rate	NOUN
cuesj-1333	16	16	follows	follow	VERB
cuesj-1333	16	17	an	an	DET
cuesj-1333	16	18	exponential	exponential	ADJ
cuesj-1333	16	19	distribution	distribution	NOUN
cuesj-1333	16	20	with	with	ADP
cuesj-1333	16	21	state	state	NOUN
cuesj-1333	16	22	1	1	NUM
cuesj-1333	16	23	.	.	PUNCT
cuesj-1333	17	1	these	these	DET
cuesj-1333	17	2	rates	rate	NOUN
cuesj-1333	17	3	are	be	AUX
cuesj-1333	17	4	expressed	express	VERB
cuesj-1333	17	5	as	as	ADP
cuesj-1333	17	6	memoryless	memoryless	NOUN
cuesj-1333	17	7	properties	property	NOUN
cuesj-1333	17	8	.	.	PUNCT
cuesj-1333	18	1	p	p	NOUN
cuesj-1333	18	2	t	t	X
cuesj-1333	18	3	p	p	X
cuesj-1333	18	4	x	x	PROPN
cuesj-1333	18	5	t	t	X
cuesj-1333	18	6	j	j	PROPN
cuesj-1333	18	7	x	x	SYM
cuesj-1333	18	8	iij	iij	NOUN
cuesj-1333	18	9	r	r	NOUN
cuesj-1333	18	10	(	(	PUNCT
cuesj-1333	18	11	)	)	PUNCT
cuesj-1333	18	12	=	=	SYM
cuesj-1333	18	13	(	(	PUNCT
cuesj-1333	18	14	)	)	PUNCT
cuesj-1333	18	15	=	=	SYM
cuesj-1333	18	16	(	(	PUNCT
cuesj-1333	18	17	)	)	PUNCT
cuesj-1333	18	18	=[	=[	NOUN
cuesj-1333	18	19	|	|	PROPN
cuesj-1333	18	20	�	�	PROPN
cuesj-1333	18	21	�	�	PROPN
cuesj-1333	18	22	�	�	PROPN
cuesj-1333	18	23	�	�	PROPN
cuesj-1333	18	24	]	]	X
cuesj-1333	18	25	0	0	NUM
cuesj-1333	18	26	(	(	PUNCT
cuesj-1333	18	27	1	1	X
cuesj-1333	18	28	)	)	PUNCT
cuesj-1333	18	29	the	the	DET
cuesj-1333	18	30	probabilities	probability	NOUN
cuesj-1333	18	31	are	be	AUX
cuesj-1333	18	32	given	give	VERB
cuesj-1333	18	33	by	by	ADP
cuesj-1333	18	34	(	(	PUNCT
cuesj-1333	18	35	)	)	PUNCT
cuesj-1333	18	36	(	(	PUNCT
cuesj-1333	18	37	)	)	PUNCT
cuesj-1333	18	38	00	00	PUNCT
cuesj-1333	19	1	tp	tp	NUM
cuesj-1333	19	2	t	t	PROPN
cuesj-1333	19	3	e	e	PROPN
cuesj-1333	19	4			X
cuesj-1333	19	5			PROPN
cuesj-1333	19	6			ADJ
cuesj-1333	19	7			ADJ
cuesj-1333	19	8			NOUN
cuesj-1333	19	9			ADJ
cuesj-1333	19	10			NOUN
cuesj-1333	19	11	−	−	ADP
cuesj-1333	20	1	+	+	NOUN
cuesj-1333	20	2	=	=	X
cuesj-1333	20	3	+	+	SYM
cuesj-1333	21	1	+	+	CCONJ
cuesj-1333	21	2	+	+	X
cuesj-1333	21	3	corresponding	corresponding	ADJ
cuesj-1333	21	4	author	author	NOUN
cuesj-1333	21	5	:	:	PUNCT
cuesj-1333	21	6	azhin	azhin	PROPN
cuesj-1333	21	7	m.	m.	PROPN
cuesj-1333	21	8	khudhur	khudhur	PROPN
cuesj-1333	21	9	,	,	PUNCT
cuesj-1333	21	10	department	department	PROPN
cuesj-1333	21	11	of	of	ADP
cuesj-1333	21	12	statistics	statistic	NOUN
cuesj-1333	21	13	and	and	CCONJ
cuesj-1333	21	14	informatics	informatic	NOUN
cuesj-1333	21	15	,	,	PUNCT
cuesj-1333	21	16	college	college	NOUN
cuesj-1333	21	17	of	of	ADP
cuesj-1333	21	18	administration	administration	NOUN
cuesj-1333	21	19	and	and	CCONJ
cuesj-1333	21	20	economics	economic	NOUN
cuesj-1333	21	21	,	,	PUNCT
cuesj-1333	21	22	salahaddin	salahaddin	VERB
cuesj-1333	21	23	university	university	NOUN
cuesj-1333	21	24	-	-	PUNCT
cuesj-1333	21	25	erbil	erbil	PROPN
cuesj-1333	21	26	,	,	PUNCT
cuesj-1333	21	27	iraq	iraq	PROPN
cuesj-1333	21	28	region	region	NOUN
cuesj-1333	21	29	,	,	PUNCT
cuesj-1333	21	30	iraq	iraq	PROPN
cuesj-1333	21	31	.	.	PUNCT
cuesj-1333	22	1	e	e	X
cuesj-1333	22	2	-	-	NOUN
cuesj-1333	22	3	mail	mail	NOUN
cuesj-1333	22	4	:	:	PUNCT
cuesj-1333	22	5	azhin.khudhur@su.edu.krd	azhin.khudhur@su.edu.krd	ADJ
cuesj-1333	22	6	received	receive	VERB
cuesj-1333	22	7	:	:	PUNCT
cuesj-1333	22	8	november	november	PROPN
cuesj-1333	22	9	20	20	NUM
cuesj-1333	22	10	,	,	PUNCT
cuesj-1333	22	11	2024	2024	NUM
cuesj-1333	22	12	accepted	accept	VERB
cuesj-1333	22	13	:	:	PUNCT
cuesj-1333	22	14	december	december	PROPN
cuesj-1333	22	15	26	26	NUM
cuesj-1333	22	16	,	,	PUNCT
cuesj-1333	22	17	2024	2024	NUM
cuesj-1333	22	18	published	publish	VERB
cuesj-1333	22	19	:	:	PUNCT
cuesj-1333	22	20	january	january	PROPN
cuesj-1333	22	21	20	20	NUM
cuesj-1333	22	22	,	,	PUNCT
cuesj-1333	22	23	2025	2025	NUM
cuesj-1333	22	24	doi	doi	NOUN
cuesj-1333	22	25	:	:	PUNCT
cuesj-1333	22	26	10.24086	10.24086	NUM
cuesj-1333	22	27	/	/	SYM
cuesj-1333	22	28	cuesj.v9n1y2025.pp8	cuesj.v9n1y2025.pp8	NOUN
cuesj-1333	22	29	-	-	SYM
cuesj-1333	22	30	13	13	NUM
cuesj-1333	22	31	copyright	copyright	NOUN
cuesj-1333	22	32	©	©	PROPN
cuesj-1333	22	33	2025	2025	NUM
cuesj-1333	22	34	bestoon	bestoon	NOUN
cuesj-1333	22	35	m.	m.	NOUN
cuesj-1333	22	36	abdullkarim	abdullkarim	PROPN
cuesj-1333	22	37	,	,	PUNCT
cuesj-1333	22	38	azhin	azhin	PROPN
cuesj-1333	22	39	m.	m.	PROPN
cuesj-1333	22	40	khudhur	khudhur	PROPN
cuesj-1333	22	41	,	,	PUNCT
cuesj-1333	22	42	dler	dler	PROPN
cuesj-1333	22	43	k.	k.	PROPN
cuesj-1333	22	44	hussein	hussein	PROPN
cuesj-1333	22	45	.	.	PUNCT
cuesj-1333	23	1	this	this	PRON
cuesj-1333	23	2	is	be	AUX
cuesj-1333	23	3	an	an	DET
cuesj-1333	23	4	open	open	ADJ
cuesj-1333	23	5	-	-	PUNCT
cuesj-1333	23	6	access	access	NOUN
cuesj-1333	23	7	article	article	NOUN
cuesj-1333	23	8	distributed	distribute	VERB
cuesj-1333	23	9	under	under	ADP
cuesj-1333	23	10	the	the	DET
cuesj-1333	23	11	creative	creative	ADJ
cuesj-1333	23	12	commons	common	NOUN
cuesj-1333	23	13	attribution	attribution	NOUN
cuesj-1333	23	14	license	license	NOUN
cuesj-1333	23	15	.	.	PUNCT
cuesj-1333	24	1	cihan	cihan	VERB
cuesj-1333	24	2	university	university	NOUN
cuesj-1333	24	3	-	-	PUNCT
cuesj-1333	24	4	erbil	erbil	PROPN
cuesj-1333	24	5	scientific	scientific	ADJ
cuesj-1333	24	6	journal	journal	NOUN
cuesj-1333	24	7	(	(	PUNCT
cuesj-1333	24	8	cuesj	cuesj	PROPN
cuesj-1333	24	9	)	)	PUNCT
cuesj-1333	24	10	abdullkarim	abdullkarim	NOUN
cuesj-1333	24	11	,	,	PUNCT
cuesj-1333	24	12	et	et	PROPN
cuesj-1333	24	13	al	al	PROPN
cuesj-1333	24	14	.	.	PROPN
cuesj-1333	25	1	:	:	PUNCT
cuesj-1333	25	2	two	two	NUM
cuesj-1333	25	3	types	type	NOUN
cuesj-1333	25	4	of	of	ADP
cuesj-1333	25	5	branching	branch	VERB
cuesj-1333	25	6	markov	markov	NOUN
cuesj-1333	25	7	process	process	NOUN
cuesj-1333	25	8	9	9	NUM
cuesj-1333	25	9	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1333	25	10	cuesj	cuesj	NOUN
cuesj-1333	25	11	2025	2025	NUM
cuesj-1333	25	12	,	,	PUNCT
cuesj-1333	25	13	9	9	NUM
cuesj-1333	25	14	(	(	PUNCT
cuesj-1333	25	15	1	1	NUM
cuesj-1333	25	16	):	):	PUNCT
cuesj-1333	25	17	8	8	NUM
cuesj-1333	25	18	-	-	SYM
cuesj-1333	25	19	13	13	NUM
cuesj-1333	25	20	(	(	PUNCT
cuesj-1333	25	21	)	)	PUNCT
cuesj-1333	25	22	(	(	PUNCT
cuesj-1333	25	23	)	)	PUNCT
cuesj-1333	25	24	01	01	NUM
cuesj-1333	25	25	tp	tp	ADP
cuesj-1333	25	26	t	t	PROPN
cuesj-1333	25	27	e	e	PROPN
cuesj-1333	25	28			X
cuesj-1333	25	29			PROPN
cuesj-1333	25	30			ADJ
cuesj-1333	25	31			ADJ
cuesj-1333	25	32			NOUN
cuesj-1333	25	33			ADJ
cuesj-1333	25	34			NOUN
cuesj-1333	25	35	−	−	ADP
cuesj-1333	26	1	+	+	NOUN
cuesj-1333	26	2	=	=	X
cuesj-1333	26	3	−	−	PROPN
cuesj-1333	27	1	+	+	CCONJ
cuesj-1333	27	2	+	+	CCONJ
cuesj-1333	27	3	(	(	PUNCT
cuesj-1333	27	4	)	)	PUNCT
cuesj-1333	27	5	(	(	PUNCT
cuesj-1333	27	6	)	)	PUNCT
cuesj-1333	27	7	10	10	NUM
cuesj-1333	27	8	tp	tp	ADP
cuesj-1333	27	9	t	t	PROPN
cuesj-1333	27	10	e	e	PROPN
cuesj-1333	27	11			X
cuesj-1333	27	12			PROPN
cuesj-1333	27	13			ADJ
cuesj-1333	27	14			ADJ
cuesj-1333	27	15			NOUN
cuesj-1333	27	16			ADJ
cuesj-1333	27	17			NOUN
cuesj-1333	27	18	−	−	ADP
cuesj-1333	28	1	+	+	NOUN
cuesj-1333	28	2	=	=	X
cuesj-1333	28	3	−	−	PROPN
cuesj-1333	29	1	+	+	CCONJ
cuesj-1333	29	2	+	+	CCONJ
cuesj-1333	29	3	(	(	PUNCT
cuesj-1333	29	4	)	)	PUNCT
cuesj-1333	29	5	(	(	PUNCT
cuesj-1333	29	6	)	)	PUNCT
cuesj-1333	29	7	11	11	NUM
cuesj-1333	29	8	tp	tp	ADP
cuesj-1333	29	9	t	t	PROPN
cuesj-1333	29	10	e	e	PROPN
cuesj-1333	29	11			X
cuesj-1333	29	12			PROPN
cuesj-1333	29	13			ADJ
cuesj-1333	29	14			ADJ
cuesj-1333	29	15			NOUN
cuesj-1333	29	16			ADJ
cuesj-1333	29	17			NOUN
cuesj-1333	29	18	−	−	ADP
cuesj-1333	30	1	+	+	NOUN
cuesj-1333	30	2	=	=	X
cuesj-1333	31	1	+	+	X
cuesj-1333	31	2	+	+	CCONJ
cuesj-1333	31	3	+	+	CCONJ
cuesj-1333	31	4	farther	far	ADV
cuesj-1333	31	5	,	,	PUNCT
cuesj-1333	31	6	as	as	ADP
cuesj-1333	31	7	t	t	PROPN
cuesj-1333	31	8	→	→	SYM
cuesj-1333	31	9	∞	∞	PROPN
cuesj-1333	31	10	(	(	PUNCT
cuesj-1333	31	11	)	)	PUNCT
cuesj-1333	31	12	(	(	PUNCT
cuesj-1333	31	13	)	)	PUNCT
cuesj-1333	31	14	0	0	NUM
cuesj-1333	31	15	00	00	NUM
cuesj-1333	31	16	10lim	10lim	NUM
cuesj-1333	31	17	 	 	SPACE
cuesj-1333	32	1	lim	lim	PROPN
cuesj-1333	32	2	t	t	PROPN
cuesj-1333	32	3	t	t	PROPN
cuesj-1333	32	4	p	p	PROPN
cuesj-1333	32	5	t	t	PROPN
cuesj-1333	32	6	p	p	X
cuesj-1333	32	7	t	t	PROPN
cuesj-1333	32	8			NOUN
cuesj-1333	32	9			NOUN
cuesj-1333	32	10			NOUN
cuesj-1333	32	11	→∞	→∞	PROPN
cuesj-1333	32	12	→∞	→∞	PROPN
cuesj-1333	32	13	=	=	PUNCT
cuesj-1333	33	1	=	=	PUNCT
cuesj-1333	33	2	=	=	PUNCT
cuesj-1333	34	1	+	+	CCONJ
cuesj-1333	34	2	(	(	PUNCT
cuesj-1333	34	3	2	2	NUM
cuesj-1333	34	4	)	)	PUNCT
cuesj-1333	34	5	(	(	PUNCT
cuesj-1333	34	6	)	)	PUNCT
cuesj-1333	34	7	(	(	PUNCT
cuesj-1333	34	8	)	)	SYM
cuesj-1333	34	9	1	1	NUM
cuesj-1333	34	10	01	01	NUM
cuesj-1333	34	11	11lim	11lim	NOUN
cuesj-1333	34	12	 	 	SPACE
cuesj-1333	34	13	lim	lim	PROPN
cuesj-1333	34	14	t	t	PROPN
cuesj-1333	34	15	t	t	PROPN
cuesj-1333	34	16	p	p	PROPN
cuesj-1333	34	17	t	t	PROPN
cuesj-1333	34	18	p	p	X
cuesj-1333	34	19	t	t	PROPN
cuesj-1333	34	20			NOUN
cuesj-1333	34	21			NOUN
cuesj-1333	34	22			NOUN
cuesj-1333	34	23	→∞	→∞	PROPN
cuesj-1333	34	24	→∞	→∞	PROPN
cuesj-1333	34	25	=	=	PUNCT
cuesj-1333	34	26	=	=	PUNCT
cuesj-1333	35	1	=	=	PUNCT
cuesj-1333	36	1	+	+	CCONJ
cuesj-1333	36	2	the	the	DET
cuesj-1333	36	3	expected	expect	VERB
cuesj-1333	36	4	length	length	NOUN
cuesj-1333	36	5	of	of	ADP
cuesj-1333	36	6	time	time	NOUN
cuesj-1333	36	7	in	in	ADP
cuesj-1333	36	8	two	two	NUM
cuesj-1333	36	9	-	-	PUNCT
cuesj-1333	36	10	state	state	NOUN
cuesj-1333	36	11	markov	markov	NOUN
cuesj-1333	36	12	processes	process	VERB
cuesj-1333	36	13	the	the	DET
cuesj-1333	36	14	expected	expect	VERB
cuesj-1333	36	15	length	length	NOUN
cuesj-1333	36	16	of	of	ADP
cuesj-1333	36	17	time	time	NOUN
cuesj-1333	36	18	µij	µij	ADV
cuesj-1333	36	19	(	(	PUNCT
cuesj-1333	36	20	t	t	NOUN
cuesj-1333	36	21	)	)	PUNCT
cuesj-1333	36	22	in	in	ADP
cuesj-1333	36	23	(	(	PUNCT
cuesj-1333	36	24	0	0	NUM
cuesj-1333	36	25	,	,	PUNCT
cuesj-1333	36	26	t	t	PROPN
cuesj-1333	36	27	)	)	PUNCT
cuesj-1333	36	28	that	that	SCONJ
cuesj-1333	36	29	the	the	DET
cuesj-1333	36	30	process	process	NOUN
cuesj-1333	36	31	spends	spend	VERB
cuesj-1333	36	32	in	in	ADP
cuesj-1333	36	33	state	state	NOUN
cuesj-1333	36	34	(	(	PUNCT
cuesj-1333	36	35	j	j	PROPN
cuesj-1333	36	36	)	)	PUNCT
cuesj-1333	36	37	,	,	PUNCT
cuesj-1333	36	38	having	having	AUX
cuesj-1333	36	39	initially	initially	ADV
cuesj-1333	36	40	started	start	VERB
cuesj-1333	36	41	from	from	ADP
cuesj-1333	36	42	the	the	DET
cuesj-1333	36	43	state	state	NOUN
cuesj-1333	36	44	(	(	PUNCT
cuesj-1333	36	45	i	i	NOUN
cuesj-1333	36	46	=	=	NOUN
cuesj-1333	36	47	0,1	0,1	NUM
cuesj-1333	36	48	)	)	PUNCT
cuesj-1333	36	49	,	,	PUNCT
cuesj-1333	36	50	is	be	AUX
cuesj-1333	36	51	given	give	VERB
cuesj-1333	36	52	by[1,5	by[1,5	NOUN
cuesj-1333	36	53	]	]	PUNCT
cuesj-1333	36	54	(	(	PUNCT
cuesj-1333	36	55	)	)	PUNCT
cuesj-1333	36	56	(	(	PUNCT
cuesj-1333	36	57	)	)	PUNCT
cuesj-1333	36	58	00	00	NUM
cuesj-1333	36	59	2	2	NUM
cuesj-1333	37	1	[	[	X
cuesj-1333	37	2	1	1	NUM
cuesj-1333	37	3	]	]	PUNCT
cuesj-1333	37	4	(	(	PUNCT
cuesj-1333	37	5	)	)	PUNCT
cuesj-1333	37	6	tt	tt	PROPN
cuesj-1333	37	7	t	t	PROPN
cuesj-1333	37	8	e	e	PROPN
cuesj-1333	37	9			X
cuesj-1333	37	10			PROPN
cuesj-1333	37	11			ADJ
cuesj-1333	37	12			NOUN
cuesj-1333	37	13			ADJ
cuesj-1333	37	14			NOUN
cuesj-1333	37	15			ADJ
cuesj-1333	37	16			NOUN
cuesj-1333	37	17	−	−	ADP
cuesj-1333	38	1	+	+	NOUN
cuesj-1333	38	2	=	=	X
cuesj-1333	39	1	+	+	NUM
cuesj-1333	39	2	−	−	PROPN
cuesj-1333	40	1	+	+	CCONJ
cuesj-1333	40	2	+	+	CCONJ
cuesj-1333	40	3	(	(	PUNCT
cuesj-1333	40	4	3	3	NUM
cuesj-1333	40	5	)	)	PUNCT
cuesj-1333	40	6	(	(	PUNCT
cuesj-1333	40	7	)	)	PUNCT
cuesj-1333	40	8	(	(	PUNCT
cuesj-1333	40	9	)	)	PUNCT
cuesj-1333	40	10	01	01	NUM
cuesj-1333	40	11	2	2	NUM
cuesj-1333	41	1	[	[	X
cuesj-1333	41	2	1	1	NUM
cuesj-1333	41	3	]	]	PUNCT
cuesj-1333	41	4	(	(	PUNCT
cuesj-1333	41	5	)	)	PUNCT
cuesj-1333	41	6	tt	tt	PROPN
cuesj-1333	41	7	t	t	PROPN
cuesj-1333	41	8	e	e	PROPN
cuesj-1333	41	9			X
cuesj-1333	41	10			NUM
cuesj-1333	41	11			ADJ
cuesj-1333	41	12			NOUN
cuesj-1333	41	13			ADJ
cuesj-1333	41	14			NOUN
cuesj-1333	41	15			ADJ
cuesj-1333	41	16			NOUN
cuesj-1333	41	17	−	−	ADP
cuesj-1333	42	1	+	+	NOUN
cuesj-1333	42	2	=	=	NOUN
cuesj-1333	42	3	−	−	ADP
cuesj-1333	42	4	−	−	PROPN
cuesj-1333	43	1	+	+	CCONJ
cuesj-1333	43	2	+	+	CCONJ
cuesj-1333	43	3	(	(	PUNCT
cuesj-1333	43	4	)	)	PUNCT
cuesj-1333	43	5	(	(	PUNCT
cuesj-1333	43	6	)	)	PUNCT
cuesj-1333	43	7	10	10	NUM
cuesj-1333	43	8	2	2	NUM
cuesj-1333	43	9	[	[	X
cuesj-1333	43	10	1	1	NUM
cuesj-1333	43	11	]	]	PUNCT
cuesj-1333	43	12	(	(	PUNCT
cuesj-1333	43	13	)	)	PUNCT
cuesj-1333	43	14	tt	tt	PROPN
cuesj-1333	43	15	t	t	PROPN
cuesj-1333	43	16	e	e	PROPN
cuesj-1333	43	17			X
cuesj-1333	43	18			ADP
cuesj-1333	43	19			NOUN
cuesj-1333	43	20			NOUN
cuesj-1333	43	21			ADJ
cuesj-1333	43	22			NOUN
cuesj-1333	43	23			ADJ
cuesj-1333	43	24			NOUN
cuesj-1333	43	25	−	−	ADP
cuesj-1333	44	1	+	+	NOUN
cuesj-1333	44	2	=	=	NOUN
cuesj-1333	44	3	−	−	ADP
cuesj-1333	44	4	−	−	PROPN
cuesj-1333	45	1	+	+	CCONJ
cuesj-1333	45	2	+	+	CCONJ
cuesj-1333	45	3	(	(	PUNCT
cuesj-1333	45	4	)	)	PUNCT
cuesj-1333	45	5	(	(	PUNCT
cuesj-1333	45	6	)	)	PUNCT
cuesj-1333	45	7	11	11	NUM
cuesj-1333	45	8	2	2	NUM
cuesj-1333	46	1	[	[	X
cuesj-1333	46	2	1	1	NUM
cuesj-1333	46	3	]	]	PUNCT
cuesj-1333	46	4	(	(	PUNCT
cuesj-1333	46	5	)	)	PUNCT
cuesj-1333	46	6	tt	tt	PROPN
cuesj-1333	46	7	t	t	PROPN
cuesj-1333	46	8	e	e	PROPN
cuesj-1333	46	9			X
cuesj-1333	46	10			NUM
cuesj-1333	46	11			NOUN
cuesj-1333	46	12			NOUN
cuesj-1333	46	13			ADJ
cuesj-1333	46	14			NOUN
cuesj-1333	46	15			ADJ
cuesj-1333	46	16			NOUN
cuesj-1333	46	17	−	−	ADP
cuesj-1333	47	1	+	+	NOUN
cuesj-1333	47	2	=	=	X
cuesj-1333	48	1	+	+	NUM
cuesj-1333	48	2	−	−	PROPN
cuesj-1333	49	1	+	+	CCONJ
cuesj-1333	49	2	+	+	CCONJ
cuesj-1333	49	3	furthermore	furthermore	ADV
cuesj-1333	49	4	,	,	PUNCT
cuesj-1333	49	5	limiting	limit	VERB
cuesj-1333	49	6	the	the	DET
cuesj-1333	49	7	fraction	fraction	NOUN
cuesj-1333	49	8	of	of	ADP
cuesj-1333	49	9	time	time	NOUN
cuesj-1333	49	10	(	(	PUNCT
cuesj-1333	49	11	t	t	NOUN
cuesj-1333	49	12	)	)	PUNCT
cuesj-1333	49	13	the	the	DET
cuesj-1333	49	14	process	process	NOUN
cuesj-1333	49	15	spent	spend	VERB
cuesj-1333	49	16	in	in	ADP
cuesj-1333	49	17	any	any	DET
cuesj-1333	49	18	one	one	NUM
cuesj-1333	49	19	of	of	ADP
cuesj-1333	49	20	the	the	DET
cuesj-1333	49	21	states	state	NOUN
cuesj-1333	49	22	(	(	PUNCT
cuesj-1333	49	23	0	0	NUM
cuesj-1333	49	24	or	or	CCONJ
cuesj-1333	49	25	1	1	NUM
cuesj-1333	49	26	)	)	PUNCT
cuesj-1333	49	27	during	during	ADP
cuesj-1333	49	28	each	each	DET
cuesj-1333	49	29	transition	transition	NOUN
cuesj-1333	49	30	is	be	AUX
cuesj-1333	49	31	given	give	VERB
cuesj-1333	49	32	by	by	ADP
cuesj-1333	49	33	00	00	PROPN
cuesj-1333	49	34	10	10	NUM
cuesj-1333	49	35	0	0	NUM
cuesj-1333	49	36	(	(	PUNCT
cuesj-1333	49	37	)	)	PUNCT
cuesj-1333	49	38	(	(	PUNCT
cuesj-1333	49	39	)	)	PUNCT
cuesj-1333	49	40	lim	lim	PROPN
cuesj-1333	49	41	 	 	SPACE
cuesj-1333	49	42	lim	lim	PROPN
cuesj-1333	49	43	t	t	PROPN
cuesj-1333	49	44	t	t	PROPN
cuesj-1333	49	45	t	t	PROPN
cuesj-1333	49	46	t	t	PROPN
cuesj-1333	49	47	t	t	PROPN
cuesj-1333	49	48	t	t	NOUN
cuesj-1333	49	49			NOUN
cuesj-1333	49	50			NOUN
cuesj-1333	49	51			NOUN
cuesj-1333	49	52			NOUN
cuesj-1333	49	53			NOUN
cuesj-1333	49	54	→∞	→∞	PROPN
cuesj-1333	49	55	→∞	→∞	PROPN
cuesj-1333	50	1	=	=	PUNCT
cuesj-1333	51	1	=	=	PUNCT
cuesj-1333	52	1	=	=	PUNCT
cuesj-1333	53	1	+	+	CCONJ
cuesj-1333	53	2	(	(	PUNCT
cuesj-1333	53	3	4	4	NUM
cuesj-1333	53	4	)	)	PUNCT
cuesj-1333	53	5	01	01	NUM
cuesj-1333	53	6	11	11	NUM
cuesj-1333	53	7	1	1	NUM
cuesj-1333	53	8	(	(	PUNCT
cuesj-1333	53	9	)	)	PUNCT
cuesj-1333	53	10	(	(	PUNCT
cuesj-1333	53	11	)	)	PUNCT
cuesj-1333	53	12	lim	lim	PROPN
cuesj-1333	53	13	 	 	SPACE
cuesj-1333	53	14	lim	lim	PROPN
cuesj-1333	53	15	t	t	PROPN
cuesj-1333	53	16	t	t	PROPN
cuesj-1333	53	17	t	t	PROPN
cuesj-1333	53	18	t	t	PROPN
cuesj-1333	53	19	t	t	PROPN
cuesj-1333	53	20	t	t	NOUN
cuesj-1333	53	21			NOUN
cuesj-1333	53	22			NOUN
cuesj-1333	53	23			ADJ
cuesj-1333	53	24			PROPN
cuesj-1333	53	25			X
cuesj-1333	53	26	→∞	→∞	PROPN
cuesj-1333	53	27	→∞	→∞	PROPN
cuesj-1333	53	28	=	=	PUNCT
cuesj-1333	53	29	=	=	PUNCT
cuesj-1333	54	1	=	=	PUNCT
cuesj-1333	54	2	+	+	CCONJ
cuesj-1333	54	3	thus	thus	ADV
cuesj-1333	54	4	,	,	PUNCT
cuesj-1333	54	5	the	the	DET
cuesj-1333	54	6	time	time	NOUN
cuesj-1333	54	7	spent	spend	VERB
cuesj-1333	54	8	by	by	ADP
cuesj-1333	54	9	the	the	DET
cuesj-1333	54	10	process	process	NOUN
cuesj-1333	54	11	in	in	ADP
cuesj-1333	54	12	each	each	DET
cuesj-1333	54	13	state	state	NOUN
cuesj-1333	54	14	during	during	ADP
cuesj-1333	54	15	every	every	DET
cuesj-1333	54	16	visit	visit	NOUN
cuesj-1333	54	17	is	be	AUX
cuesj-1333	54	18	an	an	DET
cuesj-1333	54	19	exponential	exponential	ADJ
cuesj-1333	54	20	distribution	distribution	NOUN
cuesj-1333	54	21	.	.	PUNCT
cuesj-1333	55	1	𝑓0(𝑡	𝑓0(𝑡	VERB
cuesj-1333	55	2	)	)	PUNCT
cuesj-1333	55	3	=	=	VERB
cuesj-1333	56	1	𝜆𝑒−𝜆𝑡	𝜆𝑒−𝜆𝑡	PUNCT
cuesj-1333	56	2	t	t	X
cuesj-1333	56	3	>	>	X
cuesj-1333	56	4	0	0	NUM
cuesj-1333	56	5	𝑓1(𝑡	𝑓1(𝑡	PROPN
cuesj-1333	56	6	)	)	PUNCT
cuesj-1333	56	7	=	=	NOUN
cuesj-1333	56	8	𝜇𝑒−𝜇𝑡	𝜇𝑒−𝜇𝑡	NOUN
cuesj-1333	56	9	t	t	X
cuesj-1333	56	10	>	>	X
cuesj-1333	56	11	0	0	NUM
cuesj-1333	56	12	where	where	SCONJ
cuesj-1333	56	13	the	the	DET
cuesj-1333	56	14	win	win	NOUN
cuesj-1333	56	15	and	and	CCONJ
cuesj-1333	56	16	loss	loss	NOUN
cuesj-1333	56	17	(	(	PUNCT
cuesj-1333	56	18	λ	λ	NOUN
cuesj-1333	56	19	and	and	CCONJ
cuesj-1333	56	20	µ	µ	NOUN
cuesj-1333	56	21	)	)	PUNCT
cuesj-1333	56	22	rates	rate	NOUN
cuesj-1333	56	23	are	be	AUX
cuesj-1333	56	24	estimated	estimate	VERB
cuesj-1333	56	25	by	by	ADP
cuesj-1333	56	26	the	the	DET
cuesj-1333	56	27	maximum	maximum	ADJ
cuesj-1333	56	28	likelihood	likelihood	NOUN
cuesj-1333	56	29	estimate	estimate	NOUN
cuesj-1333	56	30	(	(	PUNCT
cuesj-1333	56	31	mle	mle	NOUN
cuesj-1333	56	32	)	)	PUNCT
cuesj-1333	56	33	,	,	PUNCT
cuesj-1333	56	34	and	and	CCONJ
cuesj-1333	56	35	they	they	PRON
cuesj-1333	56	36	equal	equal	VERB
cuesj-1333	56	37	1	1	NUM
cuesj-1333	56	38	/	/	SYM
cuesj-1333	56	39	t	t	NOUN
cuesj-1333	56	40	.	.	PUNCT
cuesj-1333	57	1	in	in	ADP
cuesj-1333	57	2	addition	addition	NOUN
cuesj-1333	57	3	,	,	PUNCT
cuesj-1333	57	4	the	the	DET
cuesj-1333	57	5	average	average	ADJ
cuesj-1333	57	6	time	time	NOUN
cuesj-1333	57	7	(	(	PUNCT
cuesj-1333	57	8	t	t	PROPN
cuesj-1333	57	9	)	)	PUNCT
cuesj-1333	57	10	represents	represent	VERB
cuesj-1333	57	11	the	the	DET
cuesj-1333	57	12	average	average	NOUN
cuesj-1333	57	13	of	of	ADP
cuesj-1333	57	14	spending	spending	NOUN
cuesj-1333	57	15	in	in	ADP
cuesj-1333	57	16	a	a	DET
cuesj-1333	57	17	specific	specific	ADJ
cuesj-1333	57	18	state	state	NOUN
cuesj-1333	57	19	during	during	ADP
cuesj-1333	57	20	each	each	DET
cuesj-1333	57	21	transition	transition	NOUN
cuesj-1333	57	22	to	to	ADP
cuesj-1333	57	23	that	that	DET
cuesj-1333	57	24	state	state	NOUN
cuesj-1333	57	25	in	in	ADP
cuesj-1333	57	26	a	a	DET
cuesj-1333	57	27	two	two	NUM
cuesj-1333	57	28	-	-	PUNCT
cuesj-1333	57	29	state	state	NOUN
cuesj-1333	57	30	markov	markov	NOUN
cuesj-1333	57	31	process	process	NOUN
cuesj-1333	57	32	such	such	ADJ
cuesj-1333	57	33	as	as	ADP
cuesj-1333	57	34	:	:	PUNCT
cuesj-1333	57	35	(	(	PUNCT
cuesj-1333	57	36	)	)	PUNCT
cuesj-1333	57	37	(	(	PUNCT
cuesj-1333	57	38	)	)	PUNCT
cuesj-1333	57	39	0	0	SYM
cuesj-1333	57	40	0	0	NUM
cuesj-1333	57	41	1	1	NUM
cuesj-1333	57	42	1	1	NUM
cuesj-1333	57	43	1	1	NUM
cuesj-1333	57	44	1	1	NUM
cuesj-1333	57	45	,	,	PUNCT
cuesj-1333	57	46	t	t	PROPN
cuesj-1333	57	47	e	e	PROPN
cuesj-1333	57	48	t	t	PROPN
cuesj-1333	57	49	t	t	PROPN
cuesj-1333	57	50	e	e	PROPN
cuesj-1333	57	51	t	t	PROPN
cuesj-1333	57	52			ADJ
cuesj-1333	57	53			NOUN
cuesj-1333	57	54	=	=	PUNCT
cuesj-1333	58	1	=	=	PUNCT
cuesj-1333	58	2	=	=	PUNCT
cuesj-1333	59	1	=	=	PUNCT
cuesj-1333	59	2	they	they	PRON
cuesj-1333	59	3	related	relate	VERB
cuesj-1333	59	4	the	the	DET
cuesj-1333	59	5	process	process	NOUN
cuesj-1333	59	6	parameters	parameter	NOUN
cuesj-1333	59	7	𝜆	𝜆	ADP
cuesj-1333	59	8	and	and	CCONJ
cuesj-1333	59	9	𝜇	𝜇	X
cuesj-1333	59	10	to	to	ADP
cuesj-1333	59	11	the	the	DET
cuesj-1333	59	12	directly	directly	ADV
cuesj-1333	59	13	observable	observable	ADJ
cuesj-1333	59	14	characteristics	characteristic	NOUN
cuesj-1333	59	15	of	of	ADP
cuesj-1333	59	16	the	the	DET
cuesj-1333	59	17	process	process	NOUN
cuesj-1333	59	18	and	and	CCONJ
cuesj-1333	59	19	the	the	DET
cuesj-1333	59	20	expected	expect	VERB
cuesj-1333	59	21	lengths	length	NOUN
cuesj-1333	59	22	of	of	ADP
cuesj-1333	59	23	visits	visit	NOUN
cuesj-1333	59	24	to	to	ADP
cuesj-1333	59	25	each	each	DET
cuesj-1333	59	26	state	state	NOUN
cuesj-1333	59	27	{	{	PUNCT
cuesj-1333	59	28	0,1	0,1	NOUN
cuesj-1333	59	29	}	}	PUNCT
cuesj-1333	59	30	.	.	PUNCT
cuesj-1333	60	1	(	(	PUNCT
cuesj-1333	60	2	)	)	PUNCT
cuesj-1333	60	3	(	(	PUNCT
cuesj-1333	60	4	)	)	SYM
cuesj-1333	60	5	1	1	NUM
cuesj-1333	60	6	1	1	NUM
cuesj-1333	60	7	0	0	NUM
cuesj-1333	60	8	and	and	CCONJ
cuesj-1333	60	9	1e	1e	PROPN
cuesj-1333	60	10	e	e	PROPN
cuesj-1333	60	11			ADJ
cuesj-1333	60	12			NOUN
cuesj-1333	60	13	=	=	PUNCT
cuesj-1333	61	1	=	=	PUNCT
cuesj-1333	61	2	thus	thus	ADV
cuesj-1333	61	3	,	,	PUNCT
cuesj-1333	61	4	crude	crude	ADJ
cuesj-1333	61	5	estimates	estimate	NOUN
cuesj-1333	61	6	of	of	ADP
cuesj-1333	61	7	the	the	DET
cuesj-1333	61	8	process	process	NOUN
cuesj-1333	61	9	parameters	parameter	NOUN
cuesj-1333	61	10	are	be	AUX
cuesj-1333	61	11	obtained	obtain	VERB
cuesj-1333	61	12	.	.	PUNCT
cuesj-1333	62	1	λ	λ	X
cuesj-1333	62	2	µ=	µ=	NOUN
cuesj-1333	63	1	=	=	NOUN
cuesj-1333	63	2	1	1	NUM
cuesj-1333	63	3	0	0	NUM
cuesj-1333	63	4	1	1	NUM
cuesj-1333	63	5	1e	1e	NOUN
cuesj-1333	63	6	e	e	NOUN
cuesj-1333	63	7	(	(	PUNCT
cuesj-1333	63	8	)	)	PUNCT
cuesj-1333	63	9	,	,	PUNCT
cuesj-1333	63	10	(	(	PUNCT
cuesj-1333	63	11	)	)	PUNCT
cuesj-1333	63	12	two	two	NUM
cuesj-1333	63	13	type	type	NOUN
cuesj-1333	63	14	branching	branch	VERB
cuesj-1333	63	15	processes	process	NOUN
cuesj-1333	63	16	considering	consider	VERB
cuesj-1333	63	17	a	a	DET
cuesj-1333	63	18	branching	branch	VERB
cuesj-1333	63	19	galton	galton	PROPN
cuesj-1333	63	20	–	–	PUNCT
cuesj-1333	63	21	watson	watson	NOUN
cuesj-1333	63	22	process	process	NOUN
cuesj-1333	63	23	where	where	SCONJ
cuesj-1333	63	24	two	two	NUM
cuesj-1333	63	25	different	different	ADJ
cuesj-1333	63	26	types	type	NOUN
cuesj-1333	63	27	may	may	AUX
cuesj-1333	63	28	be	be	AUX
cuesj-1333	63	29	distinguished	distinguish	VERB
cuesj-1333	63	30	,	,	PUNCT
cuesj-1333	63	31	either	either	DET
cuesj-1333	63	32	type	type	NOUN
cuesj-1333	63	33	will	will	AUX
cuesj-1333	63	34	produce	produce	VERB
cuesj-1333	63	35	or	or	CCONJ
cuesj-1333	63	36	possibly	possibly	ADV
cuesj-1333	63	37	both	both	DET
cuesj-1333	63	38	types	type	NOUN
cuesj-1333	63	39	independently	independently	ADV
cuesj-1333	63	40	.	.	PUNCT
cuesj-1333	64	1	let	let	VERB
cuesj-1333	64	2	u𝑛	u𝑛	INTJ
cuesj-1333	65	1	and	and	CCONJ
cuesj-1333	65	2	v𝑛	v𝑛	PART
cuesj-1333	65	3	be	be	AUX
cuesj-1333	65	4	a	a	DET
cuesj-1333	65	5	random	random	ADJ
cuesj-1333	65	6	variable	variable	NOUN
cuesj-1333	65	7	representing	represent	VERB
cuesj-1333	65	8	type	type	NOUN
cuesj-1333	65	9	(	(	PUNCT
cuesj-1333	65	10	1	1	NUM
cuesj-1333	65	11	)	)	PUNCT
cuesj-1333	65	12	and	and	CCONJ
cuesj-1333	65	13	type	type	NOUN
cuesj-1333	65	14	(	(	PUNCT
cuesj-1333	65	15	2	2	NUM
cuesj-1333	65	16	)	)	PUNCT
cuesj-1333	65	17	,	,	PUNCT
cuesj-1333	65	18	respectively	respectively	ADV
cuesj-1333	65	19	,	,	PUNCT
cuesj-1333	65	20	in	in	ADP
cuesj-1333	65	21	the	the	DET
cuesj-1333	65	22	nth	nth	NOUN
cuesj-1333	65	23	period,[6,7	period,[6,7	PROPN
cuesj-1333	65	24	]	]	PUNCT
cuesj-1333	65	25	which	which	PRON
cuesj-1333	65	26	can	can	AUX
cuesj-1333	65	27	be	be	AUX
cuesj-1333	65	28	written	write	VERB
cuesj-1333	65	29	as	as	ADP
cuesj-1333	65	30	u	u	NOUN
cuesj-1333	65	31	x	x	NOUN
cuesj-1333	65	32	xn	xn	PROPN
cuesj-1333	65	33	j	j	PROPN
cuesj-1333	65	34	u	u	PROPN
cuesj-1333	65	35	j	j	PROPN
cuesj-1333	65	36	j	j	PROPN
cuesj-1333	65	37	v	v	NUM
cuesj-1333	65	38	j	j	PROPN
cuesj-1333	65	39	n	n	CCONJ
cuesj-1333	65	40	n	n	PROPN
cuesj-1333	65	41	+	+	NUM
cuesj-1333	66	1	=	=	SYM
cuesj-1333	66	2	=	=	PUNCT
cuesj-1333	66	3	=	=	PUNCT
cuesj-1333	66	4	+	+	ADJ
cuesj-1333	66	5	∑	∑	PART
cuesj-1333	66	6	∑1	∑1	NOUN
cuesj-1333	66	7	1	1	NUM
cuesj-1333	66	8	1	1	NUM
cuesj-1333	66	9	1	1	NUM
cuesj-1333	66	10	2	2	NUM
cuesj-1333	66	11	v	v	ADP
cuesj-1333	66	12	y	y	PROPN
cuesj-1333	66	13	yn	yn	PROPN
cuesj-1333	66	14	j	j	PROPN
cuesj-1333	66	15	u	u	PROPN
cuesj-1333	66	16	j	j	PROPN
cuesj-1333	66	17	j	j	PROPN
cuesj-1333	66	18	v	v	NUM
cuesj-1333	66	19	j	j	PROPN
cuesj-1333	66	20	n	n	CCONJ
cuesj-1333	66	21	n	n	PROPN
cuesj-1333	66	22	+	+	NUM
cuesj-1333	66	23	=	=	SYM
cuesj-1333	66	24	=	=	PUNCT
cuesj-1333	67	1	=	=	PUNCT
cuesj-1333	67	2	+	+	ADJ
cuesj-1333	67	3	∑	∑	PART
cuesj-1333	67	4	∑1	∑1	NOUN
cuesj-1333	67	5	1	1	NUM
cuesj-1333	67	6	1	1	NUM
cuesj-1333	67	7	1	1	NUM
cuesj-1333	67	8	2	2	NUM
cuesj-1333	67	9	when	when	SCONJ
cuesj-1333	67	10	the	the	DET
cuesj-1333	67	11	branching	branch	VERB
cuesj-1333	67	12	process	process	NOUN
cuesj-1333	67	13	is	be	AUX
cuesj-1333	67	14	one	one	NUM
cuesj-1333	67	15	of	of	ADP
cuesj-1333	67	16	the	the	DET
cuesj-1333	67	17	applications	application	NOUN
cuesj-1333	67	18	of	of	ADP
cuesj-1333	67	19	markov	markov	NOUN
cuesj-1333	67	20	sequent	sequent	NOUN
cuesj-1333	67	21	then	then	ADV
cuesj-1333	67	22	the	the	DET
cuesj-1333	67	23	transition	transition	NOUN
cuesj-1333	67	24	probability	probability	NOUN
cuesj-1333	67	25	law	law	NOUN
cuesj-1333	67	26	of	of	ADP
cuesj-1333	67	27	the	the	DET
cuesj-1333	67	28	markov	markov	NOUN
cuesj-1333	67	29	process	process	NOUN
cuesj-1333	67	30	is	be	AUX
cuesj-1333	67	31	:	:	PUNCT
cuesj-1333	67	32	p	p	X
cuesj-1333	67	33	(	(	PUNCT
cuesj-1333	67	34	𝑋𝑗	𝑋𝑗	NOUN
cuesj-1333	67	35	𝑖	𝑖	SYM
cuesj-1333	67	36	=	=	SYM
cuesj-1333	67	37	k	k	PROPN
cuesj-1333	67	38	,	,	PUNCT
cuesj-1333	67	39	𝑌𝑗	𝑌𝑗	PROPN
cuesj-1333	67	40	𝑖	𝑖	SYM
cuesj-1333	67	41	=	=	PUNCT
cuesj-1333	67	42	l	l	NOUN
cuesj-1333	67	43	)	)	PUNCT
cuesj-1333	67	44	=	=	SYM
cuesj-1333	68	1	𝑃𝑖	𝑃𝑖	ADP
cuesj-1333	68	2	(	(	PUNCT
cuesj-1333	68	3	k	k	X
cuesj-1333	68	4	,	,	PUNCT
cuesj-1333	68	5	l	l	NOUN
cuesj-1333	68	6	)	)	PUNCT
cuesj-1333	68	7	k	k	NOUN
cuesj-1333	68	8	,	,	PUNCT
cuesj-1333	68	9	l	l	NOUN
cuesj-1333	68	10	=	=	SYM
cuesj-1333	68	11	0,1,2	0,1,2	NUM
cuesj-1333	68	12	,	,	PUNCT
cuesj-1333	68	13	3	3	NUM
cuesj-1333	68	14	…	…	PUNCT
cuesj-1333	68	15	for	for	ADP
cuesj-1333	68	16	j	j	PROPN
cuesj-1333	68	17	=	=	SYM
cuesj-1333	68	18	1,2,3	1,2,3	NUM
cuesj-1333	68	19	,	,	PUNCT
cuesj-1333	68	20	…	…	PUNCT
cuesj-1333	68	21	and	and	CCONJ
cuesj-1333	68	22	i	i	NOUN
cuesj-1333	68	23	=	=	NOUN
cuesj-1333	68	24	1,2	1,2	NUM
cuesj-1333	68	25	where	where	SCONJ
cuesj-1333	68	26	x	x	PROPN
cuesj-1333	68	27	yj	yj	PROPN
cuesj-1333	68	28	i	i	INTJ
cuesj-1333	68	29	j	j	PROPN
cuesj-1333	69	1	i	i	PROPN
cuesj-1333	69	2	,	,	PUNCT
cuesj-1333	69	3	are	be	AUX
cuesj-1333	69	4	independent	independent	ADJ
cuesj-1333	69	5	identically	identically	ADV
cuesj-1333	69	6	distributed	distribute	VERB
cuesj-1333	69	7	(	(	PUNCT
cuesj-1333	69	8	iid	iid	NOUN
cuesj-1333	69	9	)	)	PUNCT
cuesj-1333	69	10	random	random	ADJ
cuesj-1333	69	11	vectors	vector	NOUN
cuesj-1333	69	12	with	with	ADP
cuesj-1333	69	13	probability	probability	NOUN
cuesj-1333	69	14	mass	mass	NOUN
cuesj-1333	69	15	functions	function	NOUN
cuesj-1333	69	16	𝑃𝑖	𝑃𝑖	ADP
cuesj-1333	69	17	(	(	PUNCT
cuesj-1333	69	18	k	k	X
cuesj-1333	69	19	,	,	PUNCT
cuesj-1333	69	20	l	l	NOUN
cuesj-1333	69	21	)	)	PUNCT
cuesj-1333	69	22	as	as	ADP
cuesj-1333	69	23	above	above	ADV
cuesj-1333	69	24	.	.	PUNCT
cuesj-1333	70	1	the	the	DET
cuesj-1333	70	2	simplest	simple	ADJ
cuesj-1333	70	3	situation	situation	NOUN
cuesj-1333	70	4	assumes	assume	VERB
cuesj-1333	70	5	the	the	DET
cuesj-1333	70	6	process	process	NOUN
cuesj-1333	70	7	begins	begin	VERB
cuesj-1333	70	8	with	with	ADP
cuesj-1333	70	9	a	a	DET
cuesj-1333	70	10	single	single	ADJ
cuesj-1333	70	11	type	type	NOUN
cuesj-1333	70	12	then	then	ADV
cuesj-1333	70	13	we	we	PRON
cuesj-1333	70	14	define	define	VERB
cuesj-1333	70	15	for	for	ADP
cuesj-1333	70	16	initial	initial	ADJ
cuesj-1333	70	17	conditions	condition	NOUN
cuesj-1333	70	18	.	.	PUNCT
cuesj-1333	71	1	u0	u0	ADJ
cuesj-1333	71	2	=	=	NOUN
cuesj-1333	71	3	1	1	NUM
cuesj-1333	71	4	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cuesj-1333	71	5	𝑉0	𝑉0	NOUN
cuesj-1333	71	6	=	=	SYM
cuesj-1333	71	7	0	0	NUM
cuesj-1333	71	8	or	or	CCONJ
cuesj-1333	71	9	u0	u0	ADJ
cuesj-1333	71	10	=	=	SYM
cuesj-1333	71	11	0	0	NUM
cuesj-1333	71	12	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cuesj-1333	71	13	𝑉0	𝑉0	NOUN
cuesj-1333	71	14	=	=	SYM
cuesj-1333	71	15	1	1	NUM
cuesj-1333	71	16	moreover	moreover	ADV
cuesj-1333	71	17	,	,	PUNCT
cuesj-1333	71	18	the	the	DET
cuesj-1333	71	19	probability	probability	NOUN
cuesj-1333	71	20	extinction	extinction	NOUN
cuesj-1333	71	21	of	of	ADP
cuesj-1333	71	22	the	the	DET
cuesj-1333	71	23	two	two	NUM
cuesj-1333	71	24	types	type	NOUN
cuesj-1333	71	25	(	(	PUNCT
cuesj-1333	71	26	𝛱1	𝛱1	PROPN
cuesj-1333	71	27	,	,	PUNCT
cuesj-1333	71	28	𝛱2	𝛱2	PROPN
cuesj-1333	71	29	)	)	PUNCT
cuesj-1333	71	30	is	be	AUX
cuesj-1333	71	31	determined	determine	VERB
cuesj-1333	71	32	as	as	SCONJ
cuesj-1333	71	33	follows	follow	VERB
cuesj-1333	71	34	:	:	PUNCT
cuesj-1333	71	35	for	for	ADP
cuesj-1333	71	36	type	type	NOUN
cuesj-1333	71	37	(	(	PUNCT
cuesj-1333	71	38	1	1	NUM
cuesj-1333	71	39	)	)	PUNCT
cuesj-1333	71	40			NOUN
cuesj-1333	71	41	1	1	NUM
cuesj-1333	71	42	0	0	NUM
cuesj-1333	71	43	0	0	NUM
cuesj-1333	71	44	1	1	NUM
cuesj-1333	71	45	0=	0=	PUNCT
cuesj-1333	72	1	=	=	PUNCT
cuesj-1333	72	2	=	=	PUNCT
cuesj-1333	72	3	=	=	PUNCT
cuesj-1333	73	1	=	=	NUM
cuesj-1333	73	2	p	p	NOUN
cuesj-1333	73	3	u	u	NOUN
cuesj-1333	73	4	v	v	ADP
cuesj-1333	73	5	u	u	NOUN
cuesj-1333	73	6	vn	vn	PROPN
cuesj-1333	73	7	n	n	CCONJ
cuesj-1333	73	8	n	n	CCONJ
cuesj-1333	73	9	n	n	CCONJ
cuesj-1333	73	10	�	�	PROPN
cuesj-1333	73	11	,	,	PUNCT
cuesj-1333	73	12	�	�	PROPN
cuesj-1333	73	13	,	,	PUNCT
cuesj-1333	73	14	�	�	PROPN
cuesj-1333	73	15	]	]	X
cuesj-1333	73	16	[	[	PUNCT
cuesj-1333	73	17	|	|	NOUN
cuesj-1333	73	18	and	and	CCONJ
cuesj-1333	73	19	for	for	ADP
cuesj-1333	73	20	type	type	NOUN
cuesj-1333	73	21	(	(	PUNCT
cuesj-1333	73	22	2	2	NUM
cuesj-1333	73	23	)	)	PUNCT
cuesj-1333	73	24			NOUN
cuesj-1333	73	25	2	2	NUM
cuesj-1333	73	26	00	00	NUM
cuesj-1333	73	27	0	0	NUM
cuesj-1333	73	28	0	0	NUM
cuesj-1333	73	29	1=	1=	X
cuesj-1333	73	30	=	=	SYM
cuesj-1333	74	1	=	=	PUNCT
cuesj-1333	74	2	=	=	PUNCT
cuesj-1333	75	1	=	=	NUM
cuesj-1333	75	2	p	p	NOUN
cuesj-1333	75	3	u	u	NOUN
cuesj-1333	75	4	v	v	ADP
cuesj-1333	75	5	u	u	NOUN
cuesj-1333	75	6	vn	vn	PROPN
cuesj-1333	75	7	n	n	CCONJ
cuesj-1333	75	8	n	n	PRON
cuesj-1333	75	9	�	�	PROPN
cuesj-1333	75	10	[	[	PUNCT
cuesj-1333	75	11	,	,	PUNCT
cuesj-1333	75	12	�	�	PROPN
cuesj-1333	75	13	|	|	ADV
cuesj-1333	75	14	,	,	PUNCT
cuesj-1333	75	15	�	�	PROPN
cuesj-1333	75	16	]	]	PUNCT
cuesj-1333	75	17	probability	probability	NOUN
cuesj-1333	75	18	generating	generate	VERB
cuesj-1333	75	19	function	function	NOUN
cuesj-1333	75	20	relations	relation	NOUN
cuesj-1333	75	21	for	for	ADP
cuesj-1333	75	22	two	two	NUM
cuesj-1333	75	23	types	type	NOUN
cuesj-1333	75	24	of	of	ADP
cuesj-1333	75	25	branching	branch	VERB
cuesj-1333	75	26	process	process	NOUN
cuesj-1333	75	27	in	in	ADP
cuesj-1333	75	28	this	this	DET
cuesj-1333	75	29	section	section	NOUN
cuesj-1333	75	30	,	,	PUNCT
cuesj-1333	75	31	we	we	PRON
cuesj-1333	75	32	show	show	VERB
cuesj-1333	75	33	some	some	DET
cuesj-1333	75	34	relation	relation	NOUN
cuesj-1333	75	35	for	for	ADP
cuesj-1333	75	36	the	the	DET
cuesj-1333	75	37	two	two	NUM
cuesj-1333	75	38	-	-	PUNCT
cuesj-1333	75	39	dimensional	dimensional	ADJ
cuesj-1333	75	40	probability	probability	NOUN
cuesj-1333	75	41	generating	generating	NOUN
cuesj-1333	75	42	function	function	NOUN
cuesj-1333	75	43	of	of	ADP
cuesj-1333	75	44	(	(	PUNCT
cuesj-1333	75	45	u𝑛	u𝑛	NOUN
cuesj-1333	75	46	)	)	PUNCT
cuesj-1333	75	47	and	and	CCONJ
cuesj-1333	75	48	(	(	PUNCT
cuesj-1333	75	49	𝑉𝑛	𝑉𝑛	NOUN
cuesj-1333	75	50	)	)	PUNCT
cuesj-1333	75	51	of	of	ADP
cuesj-1333	75	52	the	the	DET
cuesj-1333	75	53	number	number	NOUN
cuesj-1333	75	54	of	of	ADP
cuesj-1333	75	55	types	type	NOUN
cuesj-1333	75	56	of	of	ADP
cuesj-1333	75	57	𝑛𝑡h	𝑛𝑡h	PROPN
cuesj-1333	75	58	periods,[8,9	periods,[8,9	NOUN
cuesj-1333	75	59	]	]	PUNCT
cuesj-1333	75	60	as	as	ADP
cuesj-1333	75	61	abdullkarim	abdullkarim	NOUN
cuesj-1333	75	62	,	,	PUNCT
cuesj-1333	75	63	et	et	PROPN
cuesj-1333	75	64	al	al	PROPN
cuesj-1333	75	65	.	.	PROPN
cuesj-1333	75	66	:	:	PUNCT
cuesj-1333	75	67	two	two	NUM
cuesj-1333	75	68	types	type	NOUN
cuesj-1333	75	69	of	of	ADP
cuesj-1333	75	70	branching	branch	VERB
cuesj-1333	75	71	markov	markov	NOUN
cuesj-1333	75	72	process	process	NOUN
cuesj-1333	75	73	10	10	NUM
cuesj-1333	75	74	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1333	75	75	cuesj	cuesj	NOUN
cuesj-1333	75	76	2025	2025	NUM
cuesj-1333	75	77	,	,	PUNCT
cuesj-1333	75	78	9	9	NUM
cuesj-1333	75	79	(	(	PUNCT
cuesj-1333	75	80	1	1	NUM
cuesj-1333	75	81	):	):	PUNCT
cuesj-1333	75	82	8	8	NUM
cuesj-1333	75	83	-	-	SYM
cuesj-1333	75	84	13	13	NUM
cuesj-1333	75	85	(	(	PUNCT
cuesj-1333	75	86	)	)	PUNCT
cuesj-1333	75	87	(	(	PUNCT
cuesj-1333	75	88	)	)	SYM
cuesj-1333	75	89	1	1	NUM
cuesj-1333	75	90	2	2	NUM
cuesj-1333	75	91	1	1	NUM
cuesj-1333	75	92	1	1	NUM
cuesj-1333	75	93	1	1	NUM
cuesj-1333	75	94	2	2	NUM
cuesj-1333	75	95	,	,	PUNCT
cuesj-1333	75	96	0	0	NUM
cuesj-1333	75	97	,	,	PUNCT
cuesj-1333	75	98	,	,	PUNCT
cuesj-1333	75	99	(	(	PUNCT
cuesj-1333	75	100	,	,	PUNCT
cuesj-1333	75	101	)	)	PUNCT
cuesj-1333	75	102	i	i	PRON
cuesj-1333	75	103	i	i	VERB
cuesj-1333	75	104	k	k	X
cuesj-1333	75	105	l	l	PROPN
cuesj-1333	75	106	k	k	X
cuesj-1333	75	107	l	l	PROPN
cuesj-1333	75	108	n	n	CCONJ
cuesj-1333	75	109	n	n	NOUN
cuesj-1333	75	110	i	i	NOUN
cuesj-1333	75	111	k	k	PROPN
cuesj-1333	75	112	l	l	NOUN
cuesj-1333	75	113	q	q	X
cuesj-1333	75	114	q	q	X
cuesj-1333	75	115	e	e	X
cuesj-1333	75	116	q	q	NOUN
cuesj-1333	75	117	q	q	X
cuesj-1333	75	118	p	p	X
cuesj-1333	75	119	k	k	PROPN
cuesj-1333	75	120	l	l	PROPN
cuesj-1333	75	121	q	q	NOUN
cuesj-1333	75	122	q	q	NUM
cuesj-1333	75	123	∞	∞	NUM
cuesj-1333	75	124	=	=	SYM
cuesj-1333	75	125			NOUN
cuesj-1333	75	126	=	=	X
cuesj-1333	75	127	=	=	NOUN
cuesj-1333	75	128			NOUN
cuesj-1333	75	129			NOUN
cuesj-1333	75	130	∑	∑	PROPN
cuesj-1333	75	131	(	(	PUNCT
cuesj-1333	75	132	5	5	NUM
cuesj-1333	75	133	)	)	PUNCT
cuesj-1333	75	134	0	0	NUM
cuesj-1333	75	135	≤	≤	NUM
cuesj-1333	75	136	𝑞1	𝑞1	ADJ
cuesj-1333	75	137	,	,	PUNCT
cuesj-1333	75	138	𝑞2	𝑞2	NOUN
cuesj-1333	75	139	≤	≤	NUM
cuesj-1333	75	140	1	1	NUM
cuesj-1333	75	141	𝑎𝑛𝑑	𝑎𝑛𝑑	NOUN
cuesj-1333	75	142	𝑖	𝑖	NOUN
cuesj-1333	75	143	=	=	NOUN
cuesj-1333	75	144	1,2	1,2	NUM
cuesj-1333	75	145	where	where	SCONJ
cuesj-1333	75	146	:	:	PUNCT
cuesj-1333	75	147	1	1	X
cuesj-1333	75	148	.	.	X
cuesj-1333	75	149	q1	q1	PROPN
cuesj-1333	75	150	is	be	AUX
cuesj-1333	75	151	the	the	DET
cuesj-1333	75	152	auxiliary	auxiliary	ADJ
cuesj-1333	75	153	variable	variable	NOUN
cuesj-1333	75	154	representing	represent	VERB
cuesj-1333	75	155	the	the	DET
cuesj-1333	75	156	weight	weight	NOUN
cuesj-1333	75	157	assigned	assign	VERB
cuesj-1333	75	158	to	to	ADP
cuesj-1333	75	159	the	the	DET
cuesj-1333	75	160	number	number	NOUN
cuesj-1333	75	161	of	of	ADP
cuesj-1333	75	162	type	type	NOUN
cuesj-1333	75	163	(	(	PUNCT
cuesj-1333	75	164	1	1	NUM
cuesj-1333	75	165	)	)	PUNCT
cuesj-1333	75	166	individuals	individual	NOUN
cuesj-1333	75	167	(	(	PUNCT
cuesj-1333	75	168	un	un	PROPN
cuesj-1333	75	169	)	)	PUNCT
cuesj-1333	75	170	2	2	NUM
cuesj-1333	75	171	.	.	PUNCT
cuesj-1333	75	172	moreover	moreover	ADV
cuesj-1333	75	173	,	,	PUNCT
cuesj-1333	75	174	q2	q2	PROPN
cuesj-1333	75	175	is	be	AUX
cuesj-1333	75	176	the	the	DET
cuesj-1333	75	177	auxiliary	auxiliary	ADJ
cuesj-1333	75	178	variable	variable	NOUN
cuesj-1333	75	179	representing	represent	VERB
cuesj-1333	75	180	the	the	DET
cuesj-1333	75	181	weight	weight	NOUN
cuesj-1333	75	182	assigned	assign	VERB
cuesj-1333	75	183	to	to	ADP
cuesj-1333	75	184	the	the	DET
cuesj-1333	75	185	number	number	NOUN
cuesj-1333	75	186	of	of	ADP
cuesj-1333	75	187	type	type	NOUN
cuesj-1333	75	188	(	(	PUNCT
cuesj-1333	75	189	2	2	NUM
cuesj-1333	75	190	)	)	PUNCT
cuesj-1333	75	191	individuals	individual	NOUN
cuesj-1333	75	192	(	(	PUNCT
cuesj-1333	75	193	vn	vn	NOUN
cuesj-1333	75	194	)	)	PUNCT
cuesj-1333	75	195	.	.	PUNCT
cuesj-1333	76	1	moreover	moreover	ADV
cuesj-1333	76	2	,	,	PUNCT
cuesj-1333	76	3	their	their	PRON
cuesj-1333	76	4	multiple	multiple	ADJ
cuesj-1333	76	5	-	-	PUNCT
cuesj-1333	76	6	step	step	NOUN
cuesj-1333	76	7	generalizations	generalization	NOUN
cuesj-1333	76	8	(	(	PUNCT
cuesj-1333	76	9	)	)	PUNCT
cuesj-1333	76	10	(	(	PUNCT
cuesj-1333	76	11	)	)	SYM
cuesj-1333	76	12	1	1	NUM
cuesj-1333	76	13	1	1	NUM
cuesj-1333	76	14	2	2	NUM
cuesj-1333	76	15	0	0	NUM
cuesj-1333	76	16	0	0	NUM
cuesj-1333	76	17	1	1	NUM
cuesj-1333	76	18	2	2	NUM
cuesj-1333	76	19	,	,	PUNCT
cuesj-1333	76	20	0	0	NUM
cuesj-1333	76	21	,	,	PUNCT
cuesj-1333	76	22	(	(	PUNCT
cuesj-1333	76	23	,	,	PUNCT
cuesj-1333	76	24	  	  	SPACE
cuesj-1333	76	25	|	|	ADV
cuesj-1333	76	26	1	1	NUM
cuesj-1333	76	27	,	,	PUNCT
cuesj-1333	76	28	  	  	SPACE
cuesj-1333	76	29	0	0	NUM
cuesj-1333	76	30	)	)	PUNCT
cuesj-1333	76	31	k	k	NOUN
cuesj-1333	76	32	l	l	NOUN
cuesj-1333	76	33	n	n	CCONJ
cuesj-1333	76	34	n	n	CCONJ
cuesj-1333	76	35	n	n	ADV
cuesj-1333	76	36	k	k	NOUN
cuesj-1333	76	37	l	l	NOUN
cuesj-1333	76	38	q	q	X
cuesj-1333	76	39	q	q	X
cuesj-1333	76	40	p	p	X
cuesj-1333	76	41	u	u	X
cuesj-1333	76	42	k	k	PROPN
cuesj-1333	76	43	v	v	NUM
cuesj-1333	76	44	l	l	NOUN
cuesj-1333	76	45	u	u	NOUN
cuesj-1333	76	46	v	v	NOUN
cuesj-1333	76	47	q	q	NOUN
cuesj-1333	76	48	q	q	NUM
cuesj-1333	76	49	∞	∞	NUM
cuesj-1333	76	50	=	=	PUNCT
cuesj-1333	77	1	=	=	PUNCT
cuesj-1333	77	2	=	=	PUNCT
cuesj-1333	77	3	=	=	PUNCT
cuesj-1333	77	4	=	=	PUNCT
cuesj-1333	78	1	=	=	NOUN
cuesj-1333	78	2	∑	∑	PROPN
cuesj-1333	78	3	(	(	PUNCT
cuesj-1333	78	4	6	6	NUM
cuesj-1333	78	5	)	)	PUNCT
cuesj-1333	78	6	(	(	PUNCT
cuesj-1333	78	7	)	)	PUNCT
cuesj-1333	78	8	(	(	PUNCT
cuesj-1333	78	9	)	)	SYM
cuesj-1333	78	10	2	2	NUM
cuesj-1333	78	11	1	1	NUM
cuesj-1333	78	12	2	2	NUM
cuesj-1333	78	13	0	0	NUM
cuesj-1333	78	14	0	0	NUM
cuesj-1333	78	15	1	1	NUM
cuesj-1333	78	16	2	2	NUM
cuesj-1333	78	17	,	,	PUNCT
cuesj-1333	78	18	0	0	NUM
cuesj-1333	78	19	,	,	PUNCT
cuesj-1333	78	20	(	(	PUNCT
cuesj-1333	78	21	,	,	PUNCT
cuesj-1333	78	22	  	  	SPACE
cuesj-1333	78	23	|	|	ADV
cuesj-1333	78	24	0	0	NUM
cuesj-1333	78	25	,	,	PUNCT
cuesj-1333	78	26	  	  	SPACE
cuesj-1333	78	27	1	1	NUM
cuesj-1333	78	28	)	)	PUNCT
cuesj-1333	78	29	k	k	NOUN
cuesj-1333	78	30	l	l	NOUN
cuesj-1333	78	31	n	n	CCONJ
cuesj-1333	78	32	n	n	CCONJ
cuesj-1333	78	33	n	n	ADV
cuesj-1333	78	34	k	k	NOUN
cuesj-1333	78	35	l	l	NOUN
cuesj-1333	78	36	q	q	X
cuesj-1333	78	37	q	q	X
cuesj-1333	78	38	p	p	X
cuesj-1333	78	39	u	u	X
cuesj-1333	78	40	k	k	PROPN
cuesj-1333	78	41	v	v	NUM
cuesj-1333	78	42	l	l	NOUN
cuesj-1333	78	43	u	u	NOUN
cuesj-1333	78	44	v	v	NOUN
cuesj-1333	78	45	q	q	NOUN
cuesj-1333	78	46	q	q	NUM
cuesj-1333	78	47	∞	∞	NUM
cuesj-1333	78	48	=	=	PUNCT
cuesj-1333	78	49	=	=	PUNCT
cuesj-1333	78	50	=	=	PUNCT
cuesj-1333	78	51	=	=	PUNCT
cuesj-1333	78	52	=	=	PUNCT
cuesj-1333	79	1	=	=	NOUN
cuesj-1333	79	2	∑	∑	PROPN
cuesj-1333	79	3	with	with	ADP
cuesj-1333	79	4	𝑛	𝑛	DET
cuesj-1333	79	5	≥	≥	NUM
cuesj-1333	79	6	0	0	NUM
cuesj-1333	79	7	,	,	PUNCT
cuesj-1333	79	8	it	it	PRON
cuesj-1333	79	9	is	be	AUX
cuesj-1333	79	10	clear	clear	ADJ
cuesj-1333	79	11	that	that	SCONJ
cuesj-1333	79	12	the	the	DET
cuesj-1333	79	13	generation	generation	NOUN
cuesj-1333	79	14	function	function	NOUN
cuesj-1333	79	15	for	for	ADP
cuesj-1333	79	16	type	type	NOUN
cuesj-1333	79	17	(	(	PUNCT
cuesj-1333	79	18	1	1	NUM
cuesj-1333	79	19	)	)	PUNCT
cuesj-1333	79	20	is	be	AUX
cuesj-1333	79	21	:	:	PUNCT
cuesj-1333	79	22	(	(	PUNCT
cuesj-1333	79	23	)	)	PUNCT
cuesj-1333	79	24	(	(	PUNCT
cuesj-1333	79	25	)	)	PUNCT
cuesj-1333	79	26	1	1	NUM
cuesj-1333	79	27	0	0	NUM
cuesj-1333	79	28	1	1	NUM
cuesj-1333	79	29	2	2	NUM
cuesj-1333	79	30	1	1	NUM
cuesj-1333	79	31	,	,	PUNCT
cuesj-1333	79	32	 	 	SPACE
cuesj-1333	79	33	q	q	NOUN
cuesj-1333	79	34	q	q	ADJ
cuesj-1333	80	1	q	q	NUM
cuesj-1333	80	2	=	=	SYM
cuesj-1333	80	3	(	(	PUNCT
cuesj-1333	80	4	)	)	PUNCT
cuesj-1333	80	5	(	(	PUNCT
cuesj-1333	80	6	)	)	SYM
cuesj-1333	80	7	1	1	NUM
cuesj-1333	80	8	1	1	NUM
cuesj-1333	80	9	1	1	NUM
cuesj-1333	80	10	1	1	NUM
cuesj-1333	80	11	2	2	NUM
cuesj-1333	80	12	1	1	NUM
cuesj-1333	80	13	2	2	NUM
cuesj-1333	80	14	,	,	PUNCT
cuesj-1333	80	15	 	 	SPACE
cuesj-1333	80	16	(	(	PUNCT
cuesj-1333	80	17	,	,	PUNCT
cuesj-1333	80	18	(	(	PUNCT
cuesj-1333	80	19	)	)	PUNCT
cuesj-1333	80	20	q	q	NOUN
cuesj-1333	80	21	q	q	X
cuesj-1333	80	22	q	q	NOUN
cuesj-1333	80	23	q	q	PRON
cuesj-1333	80	24	=	=	NUM
cuesj-1333	80	25	moreover	moreover	ADV
cuesj-1333	80	26	,	,	PUNCT
cuesj-1333	80	27	for	for	ADP
cuesj-1333	80	28	type	type	NOUN
cuesj-1333	80	29	(	(	PUNCT
cuesj-1333	80	30	2	2	NUM
cuesj-1333	80	31	)	)	PUNCT
cuesj-1333	80	32	is	be	AUX
cuesj-1333	80	33	(	(	PUNCT
cuesj-1333	80	34	)	)	PUNCT
cuesj-1333	80	35	(	(	PUNCT
cuesj-1333	80	36	)	)	PUNCT
cuesj-1333	80	37	2	2	NUM
cuesj-1333	80	38	0	0	NUM
cuesj-1333	80	39	1	1	NUM
cuesj-1333	80	40	2	2	NUM
cuesj-1333	80	41	2	2	NUM
cuesj-1333	80	42	,	,	PUNCT
cuesj-1333	80	43	 	 	SPACE
cuesj-1333	80	44	q	q	NOUN
cuesj-1333	80	45	q	q	ADJ
cuesj-1333	80	46	q	q	NUM
cuesj-1333	80	47	=	=	SYM
cuesj-1333	80	48	(	(	PUNCT
cuesj-1333	80	49	)	)	PUNCT
cuesj-1333	80	50	(	(	PUNCT
cuesj-1333	80	51	)	)	SYM
cuesj-1333	80	52	2	2	NUM
cuesj-1333	80	53	2	2	NUM
cuesj-1333	80	54	1	1	NUM
cuesj-1333	80	55	1	1	NUM
cuesj-1333	80	56	2	2	NUM
cuesj-1333	80	57	1	1	NUM
cuesj-1333	80	58	2	2	NUM
cuesj-1333	80	59	,	,	PUNCT
cuesj-1333	80	60	 	 	SPACE
cuesj-1333	80	61	(	(	PUNCT
cuesj-1333	80	62	,	,	PUNCT
cuesj-1333	80	63	)	)	PUNCT
cuesj-1333	80	64	q	q	NOUN
cuesj-1333	81	1	q	q	X
cuesj-1333	81	2	q	q	NOUN
cuesj-1333	81	3	q	q	PRON
cuesj-1333	81	4	=	=	NUM
cuesj-1333	81	5	in	in	ADP
cuesj-1333	81	6	general	general	ADJ
cuesj-1333	81	7	,	,	PUNCT
cuesj-1333	81	8	the	the	DET
cuesj-1333	81	9	method	method	NOUN
cuesj-1333	81	10	can	can	AUX
cuesj-1333	81	11	be	be	AUX
cuesj-1333	81	12	used	use	VERB
cuesj-1333	81	13	as	as	ADP
cuesj-1333	81	14	(	(	PUNCT
cuesj-1333	81	15	)	)	PUNCT
cuesj-1333	81	16	(	(	PUNCT
cuesj-1333	81	17	)	)	PUNCT
cuesj-1333	81	18	(	(	PUNCT
cuesj-1333	81	19	)	)	PUNCT
cuesj-1333	81	20	(	(	PUNCT
cuesj-1333	81	21	)	)	SYM
cuesj-1333	81	22	1	1	NUM
cuesj-1333	81	23	2	2	NUM
cuesj-1333	81	24	1	1	NUM
cuesj-1333	81	25	2	2	NUM
cuesj-1333	81	26	1	1	NUM
cuesj-1333	81	27	2	2	NUM
cuesj-1333	81	28	1	1	NUM
cuesj-1333	81	29	2	2	NUM
cuesj-1333	81	30	,	,	PUNCT
cuesj-1333	81	31	(	(	PUNCT
cuesj-1333	81	32	,	,	PUNCT
cuesj-1333	81	33	,	,	PUNCT
cuesj-1333	81	34	,	,	PUNCT
cuesj-1333	81	35	)	)	PUNCT
cuesj-1333	81	36	i	i	PRON
cuesj-1333	81	37	i	i	PRON
cuesj-1333	81	38	n	n	VERB
cuesj-1333	81	39	m	m	VERB
cuesj-1333	81	40	m	m	VERB
cuesj-1333	81	41	n	n	ADV
cuesj-1333	81	42	nq	nq	PROPN
cuesj-1333	81	43	q	q	PROPN
cuesj-1333	81	44	q	q	X
cuesj-1333	81	45	q	q	X
cuesj-1333	81	46	q	q	NOUN
cuesj-1333	81	47	q	q	PRON
cuesj-1333	81	48			ADJ
cuesj-1333	81	49			PROPN
cuesj-1333	81	50	+	+	NOUN
cuesj-1333	81	51	=	=	PUNCT
cuesj-1333	81	52	the	the	DET
cuesj-1333	81	53	expected	expect	VERB
cuesj-1333	81	54	numbers	number	NOUN
cuesj-1333	81	55	of	of	ADP
cuesj-1333	81	56	the	the	DET
cuesj-1333	81	57	two	two	NUM
cuesj-1333	81	58	types	type	NOUN
cuesj-1333	81	59	of	of	ADP
cuesj-1333	81	60	branching	branch	VERB
cuesj-1333	81	61	process	process	NOUN
cuesj-1333	81	62	the	the	DET
cuesj-1333	81	63	method	method	NOUN
cuesj-1333	81	64	of	of	ADP
cuesj-1333	81	65	generating	generate	VERB
cuesj-1333	81	66	function	function	NOUN
cuesj-1333	81	67	is	be	AUX
cuesj-1333	81	68	the	the	DET
cuesj-1333	81	69	most	most	ADV
cuesj-1333	81	70	important	important	ADJ
cuesj-1333	81	71	tool	tool	NOUN
cuesj-1333	81	72	in	in	ADP
cuesj-1333	81	73	the	the	DET
cuesj-1333	81	74	study	study	NOUN
cuesj-1333	81	75	of	of	ADP
cuesj-1333	81	76	branching	branch	VERB
cuesj-1333	81	77	processes	process	NOUN
cuesj-1333	81	78	,	,	PUNCT
cuesj-1333	81	79	it	it	PRON
cuesj-1333	81	80	is	be	AUX
cuesj-1333	81	81	useful	useful	ADJ
cuesj-1333	81	82	to	to	PART
cuesj-1333	81	83	determine	determine	VERB
cuesj-1333	81	84	the	the	DET
cuesj-1333	81	85	mean	mean	ADJ
cuesj-1333	81	86	matrix	matrix	NOUN
cuesj-1333	81	87	of	of	ADP
cuesj-1333	81	88	the	the	DET
cuesj-1333	81	89	nth	nth	NOUN
cuesj-1333	81	90	period	period	NOUN
cuesj-1333	81	91	.	.	PUNCT
cuesj-1333	82	1	when	when	SCONJ
cuesj-1333	82	2	(	(	PUNCT
cuesj-1333	82	3	un	un	PROPN
cuesj-1333	82	4	)	)	PUNCT
cuesj-1333	82	5	and	and	CCONJ
cuesj-1333	82	6	(	(	PUNCT
cuesj-1333	82	7	vn	vn	NOUN
cuesj-1333	82	8	)	)	PUNCT
cuesj-1333	82	9	the	the	DET
cuesj-1333	82	10	number	number	NOUN
cuesj-1333	82	11	of	of	ADP
cuesj-1333	82	12	type	type	NOUN
cuesj-1333	82	13	1	1	NUM
cuesj-1333	82	14	and	and	CCONJ
cuesj-1333	82	15	2	2	NUM
cuesj-1333	82	16	of	of	ADP
cuesj-1333	82	17	the	the	DET
cuesj-1333	82	18	nth	nth	NOUN
cuesj-1333	82	19	period,[9,10	period,[9,10	PROPN
cuesj-1333	82	20	]	]	X
cuesj-1333	82	21	then	then	ADV
cuesj-1333	82	22	the	the	DET
cuesj-1333	82	23	expected	expect	VERB
cuesj-1333	82	24	numbers	number	NOUN
cuesj-1333	82	25	are	be	AUX
cuesj-1333	82	26	given	give	VERB
cuesj-1333	82	27	by	by	ADP
cuesj-1333	82	28	(	(	PUNCT
cuesj-1333	82	29	)	)	PUNCT
cuesj-1333	82	30	1	1	NUM
cuesj-1333	82	31	2	2	NUM
cuesj-1333	82	32	(	(	PUNCT
cuesj-1333	82	33	1	1	NUM
cuesj-1333	82	34	)	)	SYM
cuesj-1333	82	35	1	1	NUM
cuesj-1333	82	36	2	2	NUM
cuesj-1333	82	37	(	(	PUNCT
cuesj-1333	82	38	)	)	PUNCT
cuesj-1333	82	39	0	0	NUM
cuesj-1333	82	40	0	0	NUM
cuesj-1333	82	41	111	111	NUM
cuesj-1333	82	42	1	1	NUM
cuesj-1333	82	43	,	,	PUNCT
cuesj-1333	82	44	[	[	PUNCT
cuesj-1333	82	45	|	|	NOUN
cuesj-1333	82	46	1	1	NUM
cuesj-1333	82	47	,	,	PUNCT
cuesj-1333	82	48	0]n	0]n	NUM
cuesj-1333	82	49	n	n	PROPN
cuesj-1333	83	1	nq	nq	PROPN
cuesj-1333	83	2	q	q	NOUN
cuesj-1333	83	3	q	q	X
cuesj-1333	83	4	q	q	X
cuesj-1333	83	5	e	e	X
cuesj-1333	83	6	u	u	X
cuesj-1333	83	7	u	u	NOUN
cuesj-1333	83	8	v	v	ADP
cuesj-1333	83	9	m	m	NOUN
cuesj-1333	83	10	q	q	NOUN
cuesj-1333	83	11			PROPN
cuesj-1333	83	12	=	=	NOUN
cuesj-1333	83	13	=	=	SYM
cuesj-1333	83	14	∂	∂	NOUN
cuesj-1333	83	15	=	=	NOUN
cuesj-1333	83	16	=	=	SYM
cuesj-1333	83	17	=	=	SYM
cuesj-1333	83	18	=	=	SYM
cuesj-1333	83	19	∂	∂	NUM
cuesj-1333	83	20	(	(	PUNCT
cuesj-1333	83	21	)	)	PUNCT
cuesj-1333	83	22	1	1	NUM
cuesj-1333	83	23	2	2	NUM
cuesj-1333	83	24	(	(	PUNCT
cuesj-1333	83	25	2	2	NUM
cuesj-1333	83	26	)	)	PUNCT
cuesj-1333	83	27	1	1	NUM
cuesj-1333	83	28	2	2	NUM
cuesj-1333	83	29	(	(	PUNCT
cuesj-1333	83	30	)	)	PUNCT
cuesj-1333	83	31	0	0	NUM
cuesj-1333	83	32	0	0	NUM
cuesj-1333	83	33	12	12	NUM
cuesj-1333	83	34	[	[	PUNCT
cuesj-1333	83	35	|	|	NOUN
cuesj-1333	83	36	1	1	NUM
cuesj-1333	83	37	,	,	PUNCT
cuesj-1333	83	38	0	0	NUM
cuesj-1333	83	39	]	]	X
cuesj-1333	83	40	q	q	X
cuesj-1333	84	1	q	q	AUX
cuesj-1333	84	2	q	q	X
cuesj-1333	84	3	q	q	X
cuesj-1333	84	4	e	e	X
cuesj-1333	84	5	u	u	X
cuesj-1333	84	6	u	u	NOUN
cuesj-1333	84	7	v	v	NOUN
cuesj-1333	84	8	m	m	NOUN
cuesj-1333	84	9	=	=	SYM
cuesj-1333	84	10	=	=	SYM
cuesj-1333	84	11	∂	∂	NOUN
cuesj-1333	84	12	=	=	NOUN
cuesj-1333	84	13	=	=	SYM
cuesj-1333	84	14	=	=	SYM
cuesj-1333	84	15	=	=	SYM
cuesj-1333	84	16	∂	∂	NUM
cuesj-1333	84	17	(	(	PUNCT
cuesj-1333	84	18	7	7	NUM
cuesj-1333	84	19	)	)	PUNCT
cuesj-1333	84	20	(	(	PUNCT
cuesj-1333	84	21	)	)	PUNCT
cuesj-1333	84	22	1	1	NUM
cuesj-1333	84	23	2	2	NUM
cuesj-1333	84	24	(	(	PUNCT
cuesj-1333	84	25	1	1	NUM
cuesj-1333	84	26	)	)	SYM
cuesj-1333	84	27	1	1	NUM
cuesj-1333	84	28	2	2	NUM
cuesj-1333	84	29	(	(	PUNCT
cuesj-1333	84	30	)	)	PUNCT
cuesj-1333	84	31	0	0	NUM
cuesj-1333	84	32	0	0	NUM
cuesj-1333	84	33	211	211	NUM
cuesj-1333	84	34	1	1	NUM
cuesj-1333	84	35	,	,	PUNCT
cuesj-1333	84	36	[	[	PUNCT
cuesj-1333	84	37	|	|	NOUN
cuesj-1333	84	38	0	0	NUM
cuesj-1333	84	39	,	,	PUNCT
cuesj-1333	84	40	1]n	1]n	NUM
cuesj-1333	84	41	n	n	PRON
cuesj-1333	84	42	nq	nq	PROPN
cuesj-1333	84	43	q	q	NOUN
cuesj-1333	84	44	q	q	X
cuesj-1333	84	45	q	q	X
cuesj-1333	84	46	e	e	NOUN
cuesj-1333	84	47	v	v	ADP
cuesj-1333	84	48	u	u	NOUN
cuesj-1333	84	49	v	v	ADP
cuesj-1333	84	50	m	m	NOUN
cuesj-1333	84	51	q	q	NOUN
cuesj-1333	84	52			PROPN
cuesj-1333	84	53	=	=	NOUN
cuesj-1333	84	54	=	=	SYM
cuesj-1333	84	55	∂	∂	NOUN
cuesj-1333	84	56	=	=	NOUN
cuesj-1333	84	57	=	=	SYM
cuesj-1333	84	58	=	=	SYM
cuesj-1333	84	59	=	=	SYM
cuesj-1333	84	60	∂	∂	NUM
cuesj-1333	84	61	(	(	PUNCT
cuesj-1333	84	62	)	)	PUNCT
cuesj-1333	84	63	1	1	NUM
cuesj-1333	84	64	2	2	NUM
cuesj-1333	84	65	(	(	PUNCT
cuesj-1333	84	66	2	2	NUM
cuesj-1333	84	67	)	)	PUNCT
cuesj-1333	84	68	1	1	NUM
cuesj-1333	84	69	2	2	NUM
cuesj-1333	84	70	(	(	PUNCT
cuesj-1333	84	71	)	)	PUNCT
cuesj-1333	84	72	0	0	NUM
cuesj-1333	84	73	0	0	NUM
cuesj-1333	84	74	221	221	NUM
cuesj-1333	84	75	2	2	NUM
cuesj-1333	84	76	,	,	PUNCT
cuesj-1333	84	77	[	[	PUNCT
cuesj-1333	84	78	|	|	NOUN
cuesj-1333	84	79	0	0	NUM
cuesj-1333	84	80	,	,	PUNCT
cuesj-1333	84	81	1]n	1]n	NUM
cuesj-1333	84	82	n	n	PRON
cuesj-1333	84	83	nq	nq	PROPN
cuesj-1333	84	84	q	q	NOUN
cuesj-1333	84	85	q	q	X
cuesj-1333	84	86	q	q	X
cuesj-1333	84	87	e	e	NOUN
cuesj-1333	84	88	v	v	ADP
cuesj-1333	84	89	u	u	NOUN
cuesj-1333	84	90	v	v	PRON
cuesj-1333	84	91	sssm	sssm	NOUN
cuesj-1333	84	92	q	q	PROPN
cuesj-1333	84	93			PROPN
cuesj-1333	84	94	=	=	NOUN
cuesj-1333	84	95	=	=	SYM
cuesj-1333	84	96	∂	∂	NOUN
cuesj-1333	84	97	=	=	NOUN
cuesj-1333	84	98	=	=	SYM
cuesj-1333	84	99	=	=	SYM
cuesj-1333	84	100	=	=	SYM
cuesj-1333	84	101	∂	∂	NOUN
cuesj-1333	84	102	then	then	ADV
cuesj-1333	84	103	the	the	DET
cuesj-1333	84	104	expected	expect	VERB
cuesj-1333	84	105	matrix	matrix	NOUN
cuesj-1333	84	106	for	for	ADP
cuesj-1333	84	107	the	the	DET
cuesj-1333	84	108	nth	nth	ADJ
cuesj-1333	84	109	period	period	NOUN
cuesj-1333	84	110	for	for	ADP
cuesj-1333	84	111	two	two	NUM
cuesj-1333	84	112	types	type	NOUN
cuesj-1333	84	113	of	of	ADP
cuesj-1333	84	114	branching	branch	VERB
cuesj-1333	84	115	process	process	NOUN
cuesj-1333	84	116	is	be	AUX
cuesj-1333	84	117	defined	define	VERB
cuesj-1333	84	118	as	as	ADP
cuesj-1333	84	119	,	,	PUNCT
cuesj-1333	84	120	m	m	VERB
cuesj-1333	84	121	m	m	VERB
cuesj-1333	84	122	m	m	VERB
cuesj-1333	84	123	m	m	VERB
cuesj-1333	84	124	m	m	NOUN
cuesj-1333	84	125	=	=	NOUN
cuesj-1333	84	126			NOUN
cuesj-1333	84	127			NOUN
cuesj-1333	84	128			ADJ
cuesj-1333	84	129			PROPN
cuesj-1333	84	130			PROPN
cuesj-1333	84	131			PROPN
cuesj-1333	84	132	11	11	NUM
cuesj-1333	84	133	12	12	NUM
cuesj-1333	84	134	21	21	NUM
cuesj-1333	84	135	22	22	NUM
cuesj-1333	84	136	(	(	PUNCT
cuesj-1333	84	137	8)	8)	NUM
cuesj-1333	84	138	so	so	ADV
cuesj-1333	84	139	m	m	VERB
cuesj-1333	84	140	m	m	VERB
cuesj-1333	84	141	m	m	VERB
cuesj-1333	84	142	m	m	VERB
cuesj-1333	84	143	m	m	VERB
cuesj-1333	84	144	n	n	ADP
cuesj-1333	84	145	n	n	CCONJ
cuesj-1333	84	146	n	n	CCONJ
cuesj-1333	84	147	n	n	CCONJ
cuesj-1333	84	148	n	n	PROPN
cuesj-1333	84	149	(	(	PUNCT
cuesj-1333	84	150	)	)	PUNCT
cuesj-1333	84	151	(	(	PUNCT
cuesj-1333	84	152	)	)	PUNCT
cuesj-1333	84	153	(	(	PUNCT
cuesj-1333	84	154	)	)	PUNCT
cuesj-1333	84	155	(	(	PUNCT
cuesj-1333	84	156	)	)	PUNCT
cuesj-1333	84	157	(	(	PUNCT
cuesj-1333	84	158	)	)	PUNCT
cuesj-1333	84	159	=	=	SYM
cuesj-1333	84	160			NOUN
cuesj-1333	84	161			NOUN
cuesj-1333	85	1			ADJ
cuesj-1333	85	2			ADJ
cuesj-1333	85	3			PROPN
cuesj-1333	85	4			PROPN
cuesj-1333	85	5			PROPN
cuesj-1333	85	6			PROPN
cuesj-1333	85	7	11	11	NUM
cuesj-1333	85	8	12	12	NUM
cuesj-1333	85	9	21	21	NUM
cuesj-1333	85	10	22	22	NUM
cuesj-1333	85	11	(	(	PUNCT
cuesj-1333	85	12	)	)	PUNCT
cuesj-1333	85	13	1	1	NUM
cuesj-1333	85	14	1,1	1,1	NUM
cuesj-1333	85	15	1,2ij	1,2ij	NUM
cuesj-1333	85	16	j	j	PROPN
cuesj-1333	85	17	m	m	VERB
cuesj-1333	85	18	j	j	PROPN
cuesj-1333	85	19	q	q	X
cuesj-1333	85	20			PROPN
cuesj-1333	85	21	=	=	NOUN
cuesj-1333	85	22	=	=	SYM
cuesj-1333	85	23	∂	∂	NUM
cuesj-1333	85	24	=	=	SYM
cuesj-1333	85	25	1	1	PROPN
cuesj-1333	85	26	j	j	PROPN
cuesj-1333	85	27	and	and	CCONJ
cuesj-1333	85	28	(	(	PUNCT
cuesj-1333	85	29	)	)	PUNCT
cuesj-1333	85	30	2	2	NUM
cuesj-1333	85	31	1,1	1,1	NUM
cuesj-1333	85	32	1,2ij	1,2ij	NUM
cuesj-1333	85	33	j	j	PROPN
cuesj-1333	85	34	m	m	VERB
cuesj-1333	85	35	j	j	PROPN
cuesj-1333	85	36	q	q	X
cuesj-1333	85	37			PROPN
cuesj-1333	85	38	=	=	NOUN
cuesj-1333	85	39	=	=	SYM
cuesj-1333	85	40	∂	∂	NUM
cuesj-1333	85	41	=	=	NOUN
cuesj-1333	85	42	2	2	NOUN
cuesj-1333	85	43	j	j	PROPN
cuesj-1333	85	44	here	here	ADV
cuesj-1333	85	45	m	m	VERB
cuesj-1333	85	46	=	=	VERB
cuesj-1333	85	47			NOUN
cuesj-1333	85	48			NOUN
cuesj-1333	85	49			ADJ
cuesj-1333	85	50			PROPN
cuesj-1333	85	51			PROPN
cuesj-1333	85	52			PROPN
cuesj-1333	85	53	λ	λ	PROPN
cuesj-1333	85	54	λ	λ	PROPN
cuesj-1333	85	55	µ	µ	X
cuesj-1333	85	56	µ	µ	X
cuesj-1333	85	57	11	11	NUM
cuesj-1333	85	58	12	12	NUM
cuesj-1333	85	59	21	21	NUM
cuesj-1333	85	60	22	22	NUM
cuesj-1333	85	61	according	accord	VERB
cuesj-1333	85	62	to	to	ADP
cuesj-1333	85	63	the	the	DET
cuesj-1333	85	64	distribution	distribution	NOUN
cuesj-1333	85	65	of	of	ADP
cuesj-1333	85	66	the	the	DET
cuesj-1333	85	67	two	two	NUM
cuesj-1333	85	68	types	type	NOUN
cuesj-1333	85	69	(	(	PUNCT
cuesj-1333	85	70	1	1	NUM
cuesj-1333	85	71	)	)	PUNCT
cuesj-1333	85	72	and	and	CCONJ
cuesj-1333	85	73	(	(	PUNCT
cuesj-1333	85	74	2	2	X
cuesj-1333	85	75	)	)	PUNCT
cuesj-1333	85	76	the	the	DET
cuesj-1333	85	77	probability	probability	NOUN
cuesj-1333	85	78	generation	generation	NOUN
cuesj-1333	85	79	function	function	NOUN
cuesj-1333	85	80	is	be	AUX
cuesj-1333	85	81	given	give	VERB
cuesj-1333	85	82	as	as	ADP
cuesj-1333	85	83	(	(	PUNCT
cuesj-1333	85	84	)	)	PUNCT
cuesj-1333	85	85	(	(	PUNCT
cuesj-1333	85	86	)	)	PUNCT
cuesj-1333	85	87	(	(	PUNCT
cuesj-1333	85	88	)	)	PUNCT
cuesj-1333	85	89	(	(	PUNCT
cuesj-1333	85	90	)	)	SYM
cuesj-1333	85	91	1	1	NUM
cuesj-1333	85	92	2	2	NUM
cuesj-1333	85	93	11	11	NUM
cuesj-1333	85	94	121	121	NUM
cuesj-1333	85	95	,	,	PUNCT
cuesj-1333	85	96	  	  	SPACE
cuesj-1333	85	97	.	.	PUNCT
cuesj-1333	85	98	 	 	SPACE
cuesj-1333	86	1	q	q	PROPN
cuesj-1333	86	2	q	q	X
cuesj-1333	86	3	q	q	ADJ
cuesj-1333	86	4	q	q	NUM
cuesj-1333	86	5			PROPN
cuesj-1333	86	6	=	=	NUM
cuesj-1333	86	7	(	(	PUNCT
cuesj-1333	86	8	)	)	PUNCT
cuesj-1333	86	9	(	(	PUNCT
cuesj-1333	86	10	)	)	PUNCT
cuesj-1333	86	11	11	11	NUM
cuesj-1333	86	12	1	1	NUM
cuesj-1333	86	13	12	12	NUM
cuesj-1333	86	14	21	21	NUM
cuesj-1333	86	15	1q	1q	NUM
cuesj-1333	86	16	qe	qe	NOUN
cuesj-1333	86	17	−	−	VERB
cuesj-1333	86	18	+	+	X
cuesj-1333	86	19	−=	−=	ADJ
cuesj-1333	86	20	(	(	PUNCT
cuesj-1333	86	21	)	)	PUNCT
cuesj-1333	86	22	(	(	PUNCT
cuesj-1333	86	23	)	)	PUNCT
cuesj-1333	86	24	(	(	PUNCT
cuesj-1333	86	25	)	)	SYM
cuesj-1333	86	26	1	1	NUM
cuesj-1333	86	27	2	2	NUM
cuesj-1333	86	28	21	21	NUM
cuesj-1333	86	29	222	222	NUM
cuesj-1333	86	30	,	,	PUNCT
cuesj-1333	86	31	.	.	PUNCT
cuesj-1333	87	1	(	(	PUNCT
cuesj-1333	87	2	)	)	PUNCT
cuesj-1333	87	3	q	q	NOUN
cuesj-1333	88	1	q	q	X
cuesj-1333	88	2	q	q	ADJ
cuesj-1333	88	3	q	q	NUM
cuesj-1333	88	4			PROPN
cuesj-1333	88	5	=	=	NUM
cuesj-1333	88	6	(	(	PUNCT
cuesj-1333	88	7	)	)	PUNCT
cuesj-1333	88	8	(	(	PUNCT
cuesj-1333	88	9	)	)	PUNCT
cuesj-1333	88	10	21	21	NUM
cuesj-1333	88	11	1	1	NUM
cuesj-1333	88	12	22	22	NUM
cuesj-1333	88	13	21	21	NUM
cuesj-1333	88	14	1q	1q	NUM
cuesj-1333	88	15	qe	qe	NOUN
cuesj-1333	88	16	−	−	PROPN
cuesj-1333	88	17	+	+	CCONJ
cuesj-1333	88	18	−=	−=	VERB
cuesj-1333	88	19	in	in	ADP
cuesj-1333	88	20	addition	addition	NOUN
cuesj-1333	88	21	,	,	PUNCT
cuesj-1333	88	22	the	the	DET
cuesj-1333	88	23	expected	expect	VERB
cuesj-1333	88	24	number	number	NOUN
cuesj-1333	88	25	of	of	ADP
cuesj-1333	88	26	the	the	DET
cuesj-1333	88	27	two	two	NUM
cuesj-1333	88	28	types	type	NOUN
cuesj-1333	88	29	(	(	PUNCT
cuesj-1333	88	30	1	1	NUM
cuesj-1333	88	31	)	)	PUNCT
cuesj-1333	88	32	and	and	CCONJ
cuesj-1333	88	33	(	(	PUNCT
cuesj-1333	88	34	2	2	X
cuesj-1333	88	35	)	)	PUNCT
cuesj-1333	88	36	for	for	ADP
cuesj-1333	88	37	successive	successive	ADJ
cuesj-1333	88	38	periods	period	NOUN
cuesj-1333	88	39	is	be	AUX
cuesj-1333	88	40	g	g	PROPN
cuesj-1333	88	41	u	u	PROPN
cuesj-1333	88	42	vn	vn	PROPN
cuesj-1333	88	43	n	n	CCONJ
cuesj-1333	88	44	n=	n=	ADJ
cuesj-1333	88	45	(	(	PUNCT
cuesj-1333	88	46	)	)	PUNCT
cuesj-1333	88	47	  	  	SPACE
cuesj-1333	88	48	(	(	PUNCT
cuesj-1333	88	49	9	9	NUM
cuesj-1333	88	50	)	)	PUNCT
cuesj-1333	88	51	then	then	ADV
cuesj-1333	88	52	e	e	X
cuesj-1333	88	53	g	g	PROPN
cuesj-1333	88	54	g	g	PROPN
cuesj-1333	88	55	g	g	PROPN
cuesj-1333	88	56	mn	mn	PROPN
cuesj-1333	88	57	s	s	PROPN
cuesj-1333	88	58	n	n	CCONJ
cuesj-1333	88	59	n	n	NOUN
cuesj-1333	88	60	s	s	PROPN
cuesj-1333	88	61	(	(	PUNCT
cuesj-1333	88	62	|+	|+	ADP
cuesj-1333	88	63	=	=	NOUN
cuesj-1333	88	64	�	�	PROPN
cuesj-1333	88	65	�	�	PROPN
cuesj-1333	88	66	)	)	PUNCT
cuesj-1333	88	67	application	application	NOUN
cuesj-1333	88	68	this	this	DET
cuesj-1333	88	69	section	section	NOUN
cuesj-1333	88	70	is	be	AUX
cuesj-1333	88	71	specified	specify	VERB
cuesj-1333	88	72	for	for	ADP
cuesj-1333	88	73	analyzing	analyze	VERB
cuesj-1333	88	74	the	the	DET
cuesj-1333	88	75	football	football	NOUN
cuesj-1333	88	76	sports	sport	NOUN
cuesj-1333	88	77	outcomes	outcome	NOUN
cuesj-1333	88	78	of	of	ADP
cuesj-1333	88	79	real	real	PROPN
cuesj-1333	88	80	madrid	madrid	PROPN
cuesj-1333	88	81	football	football	NOUN
cuesj-1333	88	82	club	club	NOUN
cuesj-1333	88	83	by	by	ADP
cuesj-1333	88	84	the	the	DET
cuesj-1333	88	85	two	two	NUM
cuesj-1333	88	86	-	-	PUNCT
cuesj-1333	88	87	type	type	NOUN
cuesj-1333	88	88	branching	branch	VERB
cuesj-1333	88	89	markov	markov	NOUN
cuesj-1333	88	90	process	process	NOUN
cuesj-1333	88	91	,	,	PUNCT
cuesj-1333	88	92	where	where	SCONJ
cuesj-1333	88	93	the	the	DET
cuesj-1333	88	94	football	football	NOUN
cuesj-1333	88	95	outcomes	outcome	NOUN
cuesj-1333	88	96	(	(	PUNCT
cuesj-1333	88	97	loss	loss	NOUN
cuesj-1333	88	98	and	and	CCONJ
cuesj-1333	88	99	win	win	NOUN
cuesj-1333	88	100	)	)	PUNCT
cuesj-1333	88	101	are	be	AUX
cuesj-1333	88	102	denoted	denote	VERB
cuesj-1333	88	103	by	by	ADP
cuesj-1333	88	104	the	the	DET
cuesj-1333	88	105	two	two	NUM
cuesj-1333	88	106	states	state	NOUN
cuesj-1333	88	107	(	(	PUNCT
cuesj-1333	88	108	0	0	NUM
cuesj-1333	88	109	and	and	CCONJ
cuesj-1333	88	110	1	1	NUM
cuesj-1333	88	111	)	)	PUNCT
cuesj-1333	88	112	,	,	PUNCT
cuesj-1333	88	113	respectively	respectively	ADV
cuesj-1333	88	114	.	.	PUNCT
cuesj-1333	89	1	thus	thus	ADV
cuesj-1333	89	2	,	,	PUNCT
cuesj-1333	89	3	the	the	DET
cuesj-1333	89	4	transition	transition	NOUN
cuesj-1333	89	5	probabilities	probability	NOUN
cuesj-1333	89	6	of	of	ADP
cuesj-1333	89	7	the	the	DET
cuesj-1333	89	8	twostate	twostate	ADJ
cuesj-1333	89	9	markov	markov	NOUN
cuesj-1333	89	10	process	process	NOUN
cuesj-1333	89	11	and	and	CCONJ
cuesj-1333	89	12	the	the	DET
cuesj-1333	89	13	expected	expect	VERB
cuesj-1333	89	14	length	length	NOUN
cuesj-1333	89	15	of	of	ADP
cuesj-1333	89	16	time	time	NOUN
cuesj-1333	89	17	that	that	PRON
cuesj-1333	89	18	the	the	DET
cuesj-1333	89	19	process	process	NOUN
cuesj-1333	89	20	spends	spend	VERB
cuesj-1333	89	21	in	in	ADP
cuesj-1333	89	22	each	each	DET
cuesj-1333	89	23	state	state	NOUN
cuesj-1333	89	24	are	be	AUX
cuesj-1333	89	25	defined	define	VERB
cuesj-1333	89	26	,	,	PUNCT
cuesj-1333	89	27	also	also	ADV
cuesj-1333	89	28	the	the	DET
cuesj-1333	89	29	matrix	matrix	NOUN
cuesj-1333	89	30	of	of	ADP
cuesj-1333	89	31	the	the	DET
cuesj-1333	89	32	expected	expect	VERB
cuesj-1333	89	33	numbers	number	NOUN
cuesj-1333	89	34	to	to	ADP
cuesj-1333	89	35	four	four	NUM
cuesj-1333	89	36	possible	possible	ADJ
cuesj-1333	89	37	transitions	transition	NOUN
cuesj-1333	89	38	of	of	ADP
cuesj-1333	89	39	the	the	DET
cuesj-1333	89	40	two	two	NUM
cuesj-1333	89	41	states	state	NOUN
cuesj-1333	89	42	(	(	PUNCT
cuesj-1333	89	43	0,1	0,1	NUM
cuesj-1333	89	44	)	)	PUNCT
cuesj-1333	89	45	is	be	AUX
cuesj-1333	89	46	prepared	prepare	VERB
cuesj-1333	89	47	.	.	PUNCT
cuesj-1333	90	1	data	datum	NOUN
cuesj-1333	90	2	description	description	NOUN
cuesj-1333	90	3	for	for	ADP
cuesj-1333	90	4	this	this	DET
cuesj-1333	90	5	study	study	NOUN
cuesj-1333	90	6	,	,	PUNCT
cuesj-1333	90	7	the	the	DET
cuesj-1333	90	8	data	datum	NOUN
cuesj-1333	90	9	about	about	ADP
cuesj-1333	90	10	the	the	DET
cuesj-1333	90	11	football	football	NOUN
cuesj-1333	90	12	outcomes	outcome	NOUN
cuesj-1333	90	13	of	of	ADP
cuesj-1333	90	14	the	the	DET
cuesj-1333	90	15	real	real	ADJ
cuesj-1333	90	16	madrid	madrid	PROPN
cuesj-1333	90	17	team	team	NOUN
cuesj-1333	90	18	,	,	PUNCT
cuesj-1333	90	19	which	which	PRON
cuesj-1333	90	20	has	have	AUX
cuesj-1333	90	21	played	play	VERB
cuesj-1333	90	22	annually	annually	ADV
cuesj-1333	90	23	with	with	ADP
cuesj-1333	90	24	19	19	NUM
cuesj-1333	90	25	other	other	ADJ
cuesj-1333	90	26	spanish	spanish	ADJ
cuesj-1333	90	27	teams	team	NOUN
cuesj-1333	90	28	in	in	ADP
cuesj-1333	90	29	periodic	periodic	ADJ
cuesj-1333	90	30	competitions	competition	NOUN
cuesj-1333	90	31	for	for	ADP
cuesj-1333	90	32	24	24	NUM
cuesj-1333	90	33	years	year	NOUN
cuesj-1333	90	34	have	have	AUX
cuesj-1333	90	35	been	be	AUX
cuesj-1333	90	36	taken	take	VERB
cuesj-1333	90	37	from	from	ADP
cuesj-1333	90	38	the	the	DET
cuesj-1333	90	39	kooora	kooora	PROPN
cuesj-1333	90	40	website	website	PROPN
cuesj-1333	90	41	.	.	PUNCT
cuesj-1333	91	1	abdullkarim	abdullkarim	PROPN
cuesj-1333	91	2	,	,	PUNCT
cuesj-1333	91	3	et	et	PROPN
cuesj-1333	91	4	al	al	PROPN
cuesj-1333	91	5	.	.	PROPN
cuesj-1333	91	6	:	:	PUNCT
cuesj-1333	92	1	two	two	NUM
cuesj-1333	92	2	types	type	NOUN
cuesj-1333	92	3	of	of	ADP
cuesj-1333	92	4	branching	branch	VERB
cuesj-1333	92	5	markov	markov	NOUN
cuesj-1333	92	6	process	process	NOUN
cuesj-1333	92	7	11	11	NUM
cuesj-1333	92	8	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1333	92	9	cuesj	cuesj	NOUN
cuesj-1333	92	10	2025	2025	NUM
cuesj-1333	92	11	,	,	PUNCT
cuesj-1333	92	12	9	9	NUM
cuesj-1333	92	13	(	(	PUNCT
cuesj-1333	92	14	1	1	NUM
cuesj-1333	92	15	):	):	PUNCT
cuesj-1333	92	16	8	8	NUM
cuesj-1333	92	17	-	-	SYM
cuesj-1333	92	18	13	13	NUM
cuesj-1333	92	19	table	table	NOUN
cuesj-1333	92	20	1	1	NUM
cuesj-1333	92	21	shows	show	VERB
cuesj-1333	92	22	the	the	DET
cuesj-1333	92	23	total	total	ADJ
cuesj-1333	92	24	outcome	outcome	NOUN
cuesj-1333	92	25	of	of	ADP
cuesj-1333	92	26	748	748	NUM
cuesj-1333	92	27	games	game	NOUN
cuesj-1333	92	28	played	play	VERB
cuesj-1333	92	29	between	between	ADP
cuesj-1333	92	30	2000	2000	NUM
cuesj-1333	92	31	and	and	CCONJ
cuesj-1333	92	32	2024	2024	NUM
cuesj-1333	92	33	,	,	PUNCT
cuesj-1333	92	34	which	which	PRON
cuesj-1333	92	35	included	include	VERB
cuesj-1333	92	36	142	142	NUM
cuesj-1333	92	37	losses	loss	NOUN
cuesj-1333	92	38	with	with	ADP
cuesj-1333	92	39	a	a	DET
cuesj-1333	92	40	probability	probability	NOUN
cuesj-1333	92	41	of	of	ADP
cuesj-1333	92	42	0.2	0.2	NUM
cuesj-1333	92	43	,	,	PUNCT
cuesj-1333	92	44	and	and	CCONJ
cuesj-1333	92	45	606	606	NUM
cuesj-1333	92	46	wins	win	NOUN
cuesj-1333	92	47	with	with	ADP
cuesj-1333	92	48	a	a	DET
cuesj-1333	92	49	probability	probability	NOUN
cuesj-1333	92	50	of	of	ADP
cuesj-1333	92	51	0.8	0.8	NUM
cuesj-1333	92	52	.	.	PUNCT
cuesj-1333	93	1	among	among	ADP
cuesj-1333	93	2	these	these	PRON
cuesj-1333	93	3	,	,	PUNCT
cuesj-1333	93	4	14	14	NUM
cuesj-1333	93	5	losses	loss	NOUN
cuesj-1333	93	6	with	with	ADP
cuesj-1333	93	7	a	a	DET
cuesj-1333	93	8	probability	probability	NOUN
cuesj-1333	93	9	of	of	ADP
cuesj-1333	93	10	0.58	0.58	NUM
cuesj-1333	93	11	and	and	CCONJ
cuesj-1333	93	12	10	10	NUM
cuesj-1333	93	13	wins	win	NOUN
cuesj-1333	93	14	with	with	ADP
cuesj-1333	93	15	a	a	DET
cuesj-1333	93	16	probability	probability	NOUN
cuesj-1333	93	17	of	of	ADP
cuesj-1333	93	18	0.42	0.42	NUM
cuesj-1333	93	19	were	be	AUX
cuesj-1333	93	20	associated	associate	VERB
cuesj-1333	93	21	with	with	ADP
cuesj-1333	93	22	trophy	trophy	NOUN
cuesj-1333	93	23	outcomes	outcome	NOUN
cuesj-1333	93	24	.	.	PUNCT
cuesj-1333	94	1	estimation	estimation	NOUN
cuesj-1333	94	2	of	of	ADP
cuesj-1333	94	3	the	the	DET
cuesj-1333	94	4	loss	loss	NOUN
cuesj-1333	94	5	and	and	CCONJ
cuesj-1333	94	6	win	win	VERB
cuesj-1333	94	7	rates	rate	NOUN
cuesj-1333	94	8	the	the	DET
cuesj-1333	94	9	loss	loss	NOUN
cuesj-1333	94	10	and	and	CCONJ
cuesj-1333	94	11	win	win	VERB
cuesj-1333	94	12	rates	rate	NOUN
cuesj-1333	94	13	of	of	ADP
cuesj-1333	94	14	the	the	DET
cuesj-1333	94	15	football	football	NOUN
cuesj-1333	94	16	outcomes	outcome	NOUN
cuesj-1333	94	17	are	be	AUX
cuesj-1333	94	18	estimated	estimate	VERB
cuesj-1333	94	19	concerning	concern	VERB
cuesj-1333	94	20	the	the	DET
cuesj-1333	94	21	trophy	trophy	NOUN
cuesj-1333	94	22	results	result	NOUN
cuesj-1333	94	23	,	,	PUNCT
cuesj-1333	94	24	hence	hence	ADV
cuesj-1333	94	25	the	the	DET
cuesj-1333	94	26	loss	loss	NOUN
cuesj-1333	94	27	rate	rate	NOUN
cuesj-1333	94	28	(	(	PUNCT
cuesj-1333	94	29	̂	̂	NOUN
cuesj-1333	94	30	)	)	PUNCT
cuesj-1333	94	31	is	be	AUX
cuesj-1333	94	32	estimated	estimate	VERB
cuesj-1333	94	33	from	from	ADP
cuesj-1333	94	34	the	the	DET
cuesj-1333	94	35	total	total	ADJ
cuesj-1333	94	36	number	number	NOUN
cuesj-1333	94	37	of	of	ADP
cuesj-1333	94	38	losses	loss	NOUN
cuesj-1333	94	39	,	,	PUNCT
cuesj-1333	94	40	which	which	PRON
cuesj-1333	94	41	is	be	AUX
cuesj-1333	94	42	101	101	NUM
cuesj-1333	94	43	from	from	ADP
cuesj-1333	94	44	448	448	NUM
cuesj-1333	94	45	games	game	NOUN
cuesj-1333	94	46	of	of	ADP
cuesj-1333	94	47	14	14	NUM
cuesj-1333	94	48	losses	loss	NOUN
cuesj-1333	94	49	trophies	trophy	NOUN
cuesj-1333	94	50	in	in	ADP
cuesj-1333	94	51	the	the	DET
cuesj-1333	94	52	average	average	NOUN
cuesj-1333	94	53	of	of	ADP
cuesj-1333	94	54	32	32	NUM
cuesj-1333	94	55	games	game	NOUN
cuesj-1333	94	56	annually	annually	ADV
cuesj-1333	94	57	101	101	NUM
cuesj-1333	94	58	0.225	0.225	NUM
cuesj-1333	94	59	 	 	SPACE
cuesj-1333	94	60	/	/	SYM
cuesj-1333	94	61	  	  	SPACE
cuesj-1333	94	62	44	44	NUM
cuesj-1333	94	63	ˆ	ˆ	NOUN
cuesj-1333	94	64	8	8	NUM
cuesj-1333	94	65	gametime	gametime	NOUN
cuesj-1333	94	66	=	=	PUNCT
cuesj-1333	95	1	=	=	SYM
cuesj-1333	95	2	0	0	NUM
cuesj-1333	95	3	225	225	NUM
cuesj-1333	95	4	32	32	NUM
cuesj-1333	95	5	7	7	NUM
cuesj-1333	95	6	2	2	NUM
cuesj-1333	95	7	.	.	PUNCT
cuesj-1333	95	8	.	.	PUNCT
cuesj-1333	96	1	�	�	PROPN
cuesj-1333	96	2	�	�	PROPN
cuesj-1333	96	3	�	�	PROPN
cuesj-1333	96	4	/×	/×	PUNCT
cuesj-1333	96	5	=	=	SYM
cuesj-1333	96	6	games	games	PROPN
cuesj-1333	96	7	annum	annum	NOUN
cuesj-1333	96	8	furthermore	furthermore	ADV
cuesj-1333	96	9	,	,	PUNCT
cuesj-1333	96	10	the	the	DET
cuesj-1333	96	11	win	win	NOUN
cuesj-1333	96	12	rate	rate	NOUN
cuesj-1333	96	13	(	(	PUNCT
cuesj-1333	96	14	̂	̂	NOUN
cuesj-1333	96	15	)	)	PUNCT
cuesj-1333	96	16	is	be	AUX
cuesj-1333	96	17	estimated	estimate	VERB
cuesj-1333	96	18	from	from	ADP
cuesj-1333	96	19	the	the	DET
cuesj-1333	96	20	total	total	ADJ
cuesj-1333	96	21	number	number	NOUN
cuesj-1333	96	22	of	of	ADP
cuesj-1333	96	23	wins	win	NOUN
cuesj-1333	96	24	,	,	PUNCT
cuesj-1333	96	25	which	which	PRON
cuesj-1333	96	26	is	be	AUX
cuesj-1333	96	27	259	259	NUM
cuesj-1333	96	28	from	from	ADP
cuesj-1333	96	29	300	300	NUM
cuesj-1333	96	30	games	game	NOUN
cuesj-1333	96	31	of	of	ADP
cuesj-1333	96	32	10	10	NUM
cuesj-1333	96	33	wins	win	VERB
cuesj-1333	96	34	trophies	trophy	NOUN
cuesj-1333	96	35	in	in	ADP
cuesj-1333	96	36	an	an	DET
cuesj-1333	96	37	average	average	NOUN
cuesj-1333	96	38	of	of	ADP
cuesj-1333	96	39	30	30	NUM
cuesj-1333	96	40	games	game	NOUN
cuesj-1333	96	41	annually	annually	ADV
cuesj-1333	96	42	259	259	NUM
cuesj-1333	96	43	0.863	0.863	NUM
cuesj-1333	96	44	 	 	SPACE
cuesj-1333	96	45	/	/	SYM
cuesj-1333	96	46	    	    	SPACE
cuesj-1333	96	47	0	0	NUM
cuesj-1333	97	1	ˆ	ˆ	NOUN
cuesj-1333	97	2	3	3	NUM
cuesj-1333	97	3	0	0	NUM
cuesj-1333	97	4	gametime	gametime	NOUN
cuesj-1333	97	5	=	=	PUNCT
cuesj-1333	97	6	=	=	SYM
cuesj-1333	97	7	0	0	NUM
cuesj-1333	97	8	863	863	NUM
cuesj-1333	97	9	30	30	NUM
cuesj-1333	97	10	25	25	NUM
cuesj-1333	97	11	9	9	NUM
cuesj-1333	97	12	.	.	PUNCT
cuesj-1333	97	13	.	.	PUNCT
cuesj-1333	98	1	�	�	PROPN
cuesj-1333	98	2	�	�	PROPN
cuesj-1333	98	3	/	/	SYM
cuesj-1333	98	4	�	�	PROPN
cuesj-1333	98	5	×	×	NOUN
cuesj-1333	98	6	=	=	SYM
cuesj-1333	98	7	games	game	NOUN
cuesj-1333	98	8	annum	annum	X
cuesj-1333	98	9	the	the	DET
cuesj-1333	98	10	transition	transition	NOUN
cuesj-1333	98	11	probabilities	probability	NOUN
cuesj-1333	98	12	of	of	ADP
cuesj-1333	98	13	the	the	DET
cuesj-1333	98	14	twostate	twostate	ADJ
cuesj-1333	98	15	football	football	NOUN
cuesj-1333	98	16	sport	sport	NOUN
cuesj-1333	98	17	outcomes	outcome	VERB
cuesj-1333	98	18	the	the	DET
cuesj-1333	98	19	transition	transition	NOUN
cuesj-1333	98	20	probabilities	probability	NOUN
cuesj-1333	98	21	of	of	ADP
cuesj-1333	98	22	the	the	DET
cuesj-1333	98	23	two	two	NUM
cuesj-1333	98	24	-	-	PUNCT
cuesj-1333	98	25	state	state	NOUN
cuesj-1333	98	26	football	football	NOUN
cuesj-1333	98	27	sport	sport	NOUN
cuesj-1333	98	28	p	p	PROPN
cuesj-1333	99	1	i	i	PRON
cuesj-1333	99	2	jij	jij	PROPN
cuesj-1333	99	3	(	(	PUNCT
cuesj-1333	99	4	,	,	PUNCT
cuesj-1333	99	5	,	,	PUNCT
cuesj-1333	99	6	)	)	PUNCT
cuesj-1333	99	7	=	=	SYM
cuesj-1333	99	8	0	0	NUM
cuesj-1333	99	9	1	1	NUM
cuesj-1333	99	10	for	for	ADP
cuesj-1333	99	11	successive	successive	ADJ
cuesj-1333	99	12	game	game	NOUN
cuesj-1333	99	13	times	time	NOUN
cuesj-1333	99	14	(	(	PUNCT
cuesj-1333	99	15	)	)	PUNCT
cuesj-1333	99	16	t0	t0	PROPN
cuesj-1333	99	17	are	be	AUX
cuesj-1333	99	18	referred	refer	VERB
cuesj-1333	99	19	to	to	ADP
cuesj-1333	99	20	in	in	ADP
cuesj-1333	99	21	(	(	PUNCT
cuesj-1333	99	22	1	1	NUM
cuesj-1333	99	23	)	)	PUNCT
cuesj-1333	99	24	.	.	PUNCT
cuesj-1333	100	1	table	table	NOUN
cuesj-1333	100	2	2	2	NUM
cuesj-1333	100	3	shows	show	VERB
cuesj-1333	100	4	the	the	DET
cuesj-1333	100	5	transition	transition	NOUN
cuesj-1333	100	6	probabilities	probability	NOUN
cuesj-1333	100	7	between	between	ADP
cuesj-1333	100	8	the	the	DET
cuesj-1333	100	9	two	two	NUM
cuesj-1333	100	10	state	state	NOUN
cuesj-1333	100	11	football	football	NOUN
cuesj-1333	100	12	sports	sport	NOUN
cuesj-1333	100	13	outcomes	outcome	NOUN
cuesj-1333	100	14	(	(	PUNCT
cuesj-1333	100	15	loss	loss	NOUN
cuesj-1333	100	16	and	and	CCONJ
cuesj-1333	100	17	win	win	NOUN
cuesj-1333	100	18	)	)	PUNCT
cuesj-1333	100	19	for	for	ADP
cuesj-1333	100	20	successive	successive	ADJ
cuesj-1333	100	21	game	game	NOUN
cuesj-1333	100	22	times	time	NOUN
cuesj-1333	100	23	(	(	PUNCT
cuesj-1333	100	24	t	t	NOUN
cuesj-1333	100	25	=	=	SYM
cuesj-1333	100	26	1,2,	1,2,	NUM
cuesj-1333	100	27	…	…	SYM
cuesj-1333	100	28	,10	,10	NUM
cuesj-1333	100	29	)	)	PUNCT
cuesj-1333	100	30	.	.	PUNCT
cuesj-1333	101	1	hence	hence	ADV
cuesj-1333	101	2	,	,	PUNCT
cuesj-1333	101	3	the	the	DET
cuesj-1333	101	4	stationary	stationary	ADJ
cuesj-1333	101	5	distribution	distribution	NOUN
cuesj-1333	101	6	of	of	ADP
cuesj-1333	101	7	the	the	DET
cuesj-1333	101	8	loose	loose	ADJ
cuesj-1333	101	9	(	(	PUNCT
cuesj-1333	101	10	)	)	PUNCT
cuesj-1333	101	11	0	0	NOUN
cuesj-1333	101	12	and	and	CCONJ
cuesj-1333	101	13	win	win	VERB
cuesj-1333	101	14	1	1	NUM
cuesj-1333	101	15	(	(	PUNCT
cuesj-1333	101	16	)	)	PUNCT
cuesj-1333	101	17			PROPN
cuesj-1333	101	18	is	be	AUX
cuesj-1333	101	19	defined	define	VERB
cuesj-1333	101	20	in	in	ADP
cuesj-1333	101	21	(	(	PUNCT
cuesj-1333	101	22	2	2	NUM
cuesj-1333	101	23	)	)	PUNCT
cuesj-1333	101	24	.	.	PUNCT
cuesj-1333	102	1	0	0	NUM
cuesj-1333	102	2	0.863	0.863	NUM
cuesj-1333	102	3	0.79	0.79	NUM
cuesj-1333	102	4	0.225	0.225	NUM
cuesj-1333	102	5	0.863	0.863	NUM
cuesj-1333	102	6			NOUN
cuesj-1333	102	7	=	=	SYM
cuesj-1333	102	8	=	=	PUNCT
cuesj-1333	103	1	+	+	NUM
cuesj-1333	103	2	1	1	NUM
cuesj-1333	103	3	0.225	0.225	NUM
cuesj-1333	103	4	0.21	0.21	NUM
cuesj-1333	103	5	0.225	0.225	NUM
cuesj-1333	103	6	0.863	0.863	NUM
cuesj-1333	103	7			NOUN
cuesj-1333	103	8	=	=	SYM
cuesj-1333	103	9	=	=	SYM
cuesj-1333	104	1	+	+	CCONJ
cuesj-1333	104	2	the	the	DET
cuesj-1333	104	3	expected	expect	VERB
cuesj-1333	104	4	time	time	NOUN
cuesj-1333	104	5	the	the	DET
cuesj-1333	104	6	football	football	NOUN
cuesj-1333	104	7	sport	sport	NOUN
cuesj-1333	104	8	(	(	PUNCT
cuesj-1333	104	9	process	process	NOUN
cuesj-1333	104	10	)	)	PUNCT
cuesj-1333	104	11	stays	stay	VERB
cuesj-1333	104	12	in	in	ADP
cuesj-1333	104	13	each	each	DET
cuesj-1333	104	14	outcome	outcome	NOUN
cuesj-1333	104	15	(	(	PUNCT
cuesj-1333	104	16	state	state	NOUN
cuesj-1333	104	17	)	)	PUNCT
cuesj-1333	104	18	the	the	DET
cuesj-1333	104	19	expected	expect	VERB
cuesj-1333	104	20	length	length	NOUN
cuesj-1333	104	21	of	of	ADP
cuesj-1333	104	22	time	time	NOUN
cuesj-1333	104	23	(	(	PUNCT
cuesj-1333	104	24	)	)	PUNCT
cuesj-1333	104	25	 	 	SPACE
cuesj-1333	104	26	(	(	PUNCT
cuesj-1333	104	27	,	,	PUNCT
cuesj-1333	104	28	0,1)ij	0,1)ij	NOUN
cuesj-1333	104	29	t	t	NOUN
cuesj-1333	105	1	i	i	PRON
cuesj-1333	105	2	j	j	PROPN
cuesj-1333	106	1	=	=	PUNCT
cuesj-1333	106	2	the	the	DET
cuesj-1333	106	3	football	football	NOUN
cuesj-1333	106	4	sport	sport	NOUN
cuesj-1333	106	5	spent	spend	VERB
cuesj-1333	106	6	in	in	ADP
cuesj-1333	106	7	any	any	DET
cuesj-1333	106	8	one	one	NUM
cuesj-1333	106	9	of	of	ADP
cuesj-1333	106	10	the	the	DET
cuesj-1333	106	11	states	state	NOUN
cuesj-1333	106	12	(	(	PUNCT
cuesj-1333	106	13	0,1	0,1	NOUN
cuesj-1333	106	14	)	)	PUNCT
cuesj-1333	106	15	for	for	ADP
cuesj-1333	106	16	game	game	NOUN
cuesj-1333	106	17	time	time	NOUN
cuesj-1333	106	18	(	(	PUNCT
cuesj-1333	106	19	t	t	NOUN
cuesj-1333	106	20	)	)	PUNCT
cuesj-1333	106	21	is	be	AUX
cuesj-1333	106	22	defined	define	VERB
cuesj-1333	106	23	in	in	ADP
cuesj-1333	106	24	(	(	PUNCT
cuesj-1333	106	25	3	3	NUM
cuesj-1333	106	26	)	)	PUNCT
cuesj-1333	106	27	.	.	PUNCT
cuesj-1333	107	1	table	table	NOUN
cuesj-1333	107	2	3	3	NUM
cuesj-1333	107	3	shows	show	VERB
cuesj-1333	107	4	the	the	DET
cuesj-1333	107	5	expected	expect	VERB
cuesj-1333	107	6	length	length	NOUN
cuesj-1333	107	7	of	of	ADP
cuesj-1333	107	8	time	time	NOUN
cuesj-1333	107	9	the	the	DET
cuesj-1333	107	10	process	process	NOUN
cuesj-1333	107	11	spends	spend	VERB
cuesj-1333	107	12	in	in	ADP
cuesj-1333	107	13	any	any	DET
cuesj-1333	107	14	football	football	NOUN
cuesj-1333	107	15	state	state	NOUN
cuesj-1333	107	16	during	during	ADP
cuesj-1333	107	17	each	each	DET
cuesj-1333	107	18	transition	transition	NOUN
cuesj-1333	107	19	for	for	ADP
cuesj-1333	107	20	given	give	VERB
cuesj-1333	107	21	game	game	NOUN
cuesj-1333	107	22	times	time	NOUN
cuesj-1333	107	23	(	(	PUNCT
cuesj-1333	107	24	t	t	NOUN
cuesj-1333	107	25	=	=	SYM
cuesj-1333	107	26	5,10,15,20,25,30,35	5,10,15,20,25,30,35	NUM
cuesj-1333	107	27	)	)	PUNCT
cuesj-1333	107	28	.	.	PUNCT
cuesj-1333	108	1	the	the	DET
cuesj-1333	108	2	expected	expect	VERB
cuesj-1333	108	3	numbers	number	NOUN
cuesj-1333	108	4	of	of	ADP
cuesj-1333	108	5	the	the	DET
cuesj-1333	108	6	two	two	NUM
cuesj-1333	108	7	-	-	PUNCT
cuesj-1333	108	8	state	state	NOUN
cuesj-1333	108	9	football	football	NOUN
cuesj-1333	108	10	sport	sport	NOUN
cuesj-1333	108	11	outcomes	outcome	VERB
cuesj-1333	108	12	the	the	DET
cuesj-1333	108	13	four	four	NUM
cuesj-1333	108	14	expected	expect	VERB
cuesj-1333	108	15	numbers	number	NOUN
cuesj-1333	108	16	of	of	ADP
cuesj-1333	108	17	the	the	DET
cuesj-1333	108	18	two	two	NUM
cuesj-1333	108	19	-	-	PUNCT
cuesj-1333	108	20	state	state	NOUN
cuesj-1333	108	21	(	(	PUNCT
cuesj-1333	108	22	0,1	0,1	NUM
cuesj-1333	108	23	)	)	PUNCT
cuesj-1333	108	24	football	football	NOUN
cuesj-1333	108	25	sports	sport	NOUN
cuesj-1333	108	26	m00	m00	NOUN
cuesj-1333	108	27	,	,	PUNCT
cuesj-1333	108	28	m01	m01	PROPN
cuesj-1333	108	29	,	,	PUNCT
cuesj-1333	108	30	m10	m10	PROPN
cuesj-1333	108	31	,	,	PUNCT
cuesj-1333	108	32	m11	m11	NOUN
cuesj-1333	108	33	are	be	AUX
cuesj-1333	108	34	computed	compute	VERB
cuesj-1333	108	35	from	from	ADP
cuesj-1333	108	36	the	the	DET
cuesj-1333	108	37	transition	transition	NOUN
cuesj-1333	108	38	counts	count	NOUN
cuesj-1333	108	39	of	of	ADP
cuesj-1333	108	40	the	the	DET
cuesj-1333	108	41	number	number	NOUN
cuesj-1333	108	42	of	of	ADP
cuesj-1333	108	43	loss	loss	NOUN
cuesj-1333	108	44	and	and	CCONJ
cuesj-1333	108	45	win	win	VERB
cuesj-1333	108	46	games	game	NOUN
cuesj-1333	108	47	according	accord	VERB
cuesj-1333	108	48	to	to	ADP
cuesj-1333	108	49	the	the	DET
cuesj-1333	108	50	loss	loss	NOUN
cuesj-1333	108	51	(	(	PUNCT
cuesj-1333	108	52	state	state	NOUN
cuesj-1333	108	53	0	0	NUM
cuesj-1333	108	54	)	)	PUNCT
cuesj-1333	108	55	and	and	CCONJ
cuesj-1333	108	56	win	win	VERB
cuesj-1333	108	57	(	(	PUNCT
cuesj-1333	108	58	state	state	NOUN
cuesj-1333	108	59	1	1	NUM
cuesj-1333	108	60	)	)	PUNCT
cuesj-1333	108	61	trophy	trophy	NOUN
cuesj-1333	108	62	of	of	ADP
cuesj-1333	108	63	real	real	PROPN
cuesj-1333	108	64	madrid	madrid	PROPN
cuesj-1333	108	65	which	which	PRON
cuesj-1333	108	66	has	have	AUX
cuesj-1333	108	67	got	get	VERB
cuesj-1333	108	68	during	during	ADP
cuesj-1333	108	69	(	(	PUNCT
cuesj-1333	108	70	2000–2024	2000–2024	NUM
cuesj-1333	108	71	)	)	PUNCT
cuesj-1333	108	72	,	,	PUNCT
cuesj-1333	108	73	as	as	SCONJ
cuesj-1333	108	74	defined	define	VERB
cuesj-1333	108	75	:	:	PUNCT
cuesj-1333	108	76	table	table	NOUN
cuesj-1333	108	77	1	1	NUM
cuesj-1333	108	78	:	:	PUNCT
cuesj-1333	108	79	the	the	DET
cuesj-1333	108	80	number	number	NOUN
cuesj-1333	108	81	of	of	ADP
cuesj-1333	108	82	loss	loss	NOUN
cuesj-1333	108	83	and	and	CCONJ
cuesj-1333	108	84	win	win	VERB
cuesj-1333	108	85	outcomes	outcome	NOUN
cuesj-1333	108	86	with	with	ADP
cuesj-1333	108	87	the	the	DET
cuesj-1333	108	88	trophy	trophy	NOUN
cuesj-1333	108	89	results	result	VERB
cuesj-1333	108	90	years	year	NOUN
cuesj-1333	108	91	number	number	NOUN
cuesj-1333	108	92	of	of	ADP
cuesj-1333	108	93	losses	loss	NOUN
cuesj-1333	108	94	number	number	NOUN
cuesj-1333	108	95	of	of	ADP
cuesj-1333	108	96	wins	win	NOUN
cuesj-1333	108	97	total	total	NOUN
cuesj-1333	108	98	trophy	trophy	NOUN
cuesj-1333	108	99	2000–2001	2000–2001	NUM
cuesj-1333	108	100	6	6	NUM
cuesj-1333	108	101	24	24	NUM
cuesj-1333	108	102	30	30	NUM
cuesj-1333	108	103	win	win	VERB
cuesj-1333	108	104	2001–2002	2001–2002	NUM
cuesj-1333	108	105	10	10	NUM
cuesj-1333	108	106	19	19	NUM
cuesj-1333	108	107	29	29	NUM
cuesj-1333	108	108	loss	loss	NOUN
cuesj-1333	108	109	2002–2003	2002–2003	NUM
cuesj-1333	108	110	4	4	NUM
cuesj-1333	108	111	22	22	NUM
cuesj-1333	108	112	26	26	NUM
cuesj-1333	108	113	win	win	NOUN
cuesj-1333	108	114	2003–2004	2003–2004	NUM
cuesj-1333	108	115	10	10	NUM
cuesj-1333	108	116	21	21	NUM
cuesj-1333	108	117	31	31	NUM
cuesj-1333	108	118	loss	loss	NOUN
cuesj-1333	108	119	2004–2005	2004–2005	NUM
cuesj-1333	108	120	9	9	NUM
cuesj-1333	108	121	24	24	NUM
cuesj-1333	108	122	33	33	NUM
cuesj-1333	108	123	loss	loss	NOUN
cuesj-1333	108	124	2005–2006	2005–2006	NUM
cuesj-1333	108	125	8	8	NUM
cuesj-1333	108	126	20	20	NUM
cuesj-1333	108	127	28	28	NUM
cuesj-1333	108	128	loss	loss	NOUN
cuesj-1333	108	129	2006–2007	2006–2007	NUM
cuesj-1333	108	130	8	8	NUM
cuesj-1333	108	131	23	23	NUM
cuesj-1333	108	132	31	31	NUM
cuesj-1333	108	133	win	win	NOUN
cuesj-1333	108	134	2007–2008	2007–2008	NUM
cuesj-1333	108	135	7	7	NUM
cuesj-1333	108	136	27	27	NUM
cuesj-1333	108	137	34	34	NUM
cuesj-1333	108	138	win	win	VERB
cuesj-1333	108	139	2008–2009	2008–2009	NUM
cuesj-1333	109	1	10	10	NUM
cuesj-1333	109	2	25	25	NUM
cuesj-1333	109	3	35	35	NUM
cuesj-1333	109	4	loss	loss	NOUN
cuesj-1333	109	5	2009–2010	2009–2010	NUM
cuesj-1333	109	6	4	4	NUM
cuesj-1333	109	7	31	31	NUM
cuesj-1333	109	8	35	35	NUM
cuesj-1333	109	9	loss	loss	NOUN
cuesj-1333	109	10	2010–2011	2010–2011	NUM
cuesj-1333	109	11	4	4	NUM
cuesj-1333	109	12	29	29	NUM
cuesj-1333	109	13	33	33	NUM
cuesj-1333	109	14	loss	loss	NOUN
cuesj-1333	109	15	2011–2012	2011–2012	NUM
cuesj-1333	109	16	2	2	NUM
cuesj-1333	109	17	32	32	NUM
cuesj-1333	109	18	34	34	NUM
cuesj-1333	109	19	win	win	VERB
cuesj-1333	109	20	2012–2013	2012–2013	NUM
cuesj-1333	109	21	5	5	NUM
cuesj-1333	109	22	26	26	NUM
cuesj-1333	109	23	31	31	NUM
cuesj-1333	109	24	loss	loss	NOUN
cuesj-1333	109	25	2013–2014	2013–2014	NUM
cuesj-1333	109	26	5	5	NUM
cuesj-1333	109	27	27	27	NUM
cuesj-1333	109	28	32	32	NUM
cuesj-1333	109	29	loss	loss	NOUN
cuesj-1333	109	30	2014–2015	2014–2015	NUM
cuesj-1333	109	31	6	6	NUM
cuesj-1333	109	32	30	30	NUM
cuesj-1333	109	33	36	36	NUM
cuesj-1333	109	34	loss	loss	NOUN
cuesj-1333	109	35	2015–2016	2015–2016	NUM
cuesj-1333	109	36	4	4	NUM
cuesj-1333	109	37	28	28	NUM
cuesj-1333	109	38	32	32	NUM
cuesj-1333	109	39	loss	loss	NOUN
cuesj-1333	109	40	2016–2017	2016–2017	NUM
cuesj-1333	109	41	3	3	NUM
cuesj-1333	109	42	29	29	NUM
cuesj-1333	109	43	32	32	NUM
cuesj-1333	109	44	win	win	NOUN
cuesj-1333	109	45	2017–2018	2017–2018	NUM
cuesj-1333	109	46	6	6	NUM
cuesj-1333	109	47	22	22	NUM
cuesj-1333	109	48	28	28	NUM
cuesj-1333	109	49	loss	loss	NOUN
cuesj-1333	109	50	2018–2019	2018–2019	NUM
cuesj-1333	109	51	12	12	NUM
cuesj-1333	109	52	21	21	NUM
cuesj-1333	109	53	33	33	NUM
cuesj-1333	109	54	loss	loss	NOUN
cuesj-1333	109	55	2019–2020	2019–2020	NUM
cuesj-1333	109	56	3	3	NUM
cuesj-1333	109	57	26	26	NUM
cuesj-1333	109	58	29	29	NUM
cuesj-1333	109	59	win	win	VERB
cuesj-1333	109	60	2020–2021	2020–2021	NUM
cuesj-1333	109	61	3	3	NUM
cuesj-1333	109	62	21	21	NUM
cuesj-1333	109	63	24	24	NUM
cuesj-1333	109	64	win	win	NOUN
cuesj-1333	109	65	2021–2022	2021–2022	NOUN
cuesj-1333	109	66	4	4	NUM
cuesj-1333	109	67	26	26	NUM
cuesj-1333	109	68	30	30	NUM
cuesj-1333	109	69	win	win	NOUN
cuesj-1333	109	70	2022–2023	2022–2023	NUM
cuesj-1333	109	71	8	8	NUM
cuesj-1333	109	72	24	24	NUM
cuesj-1333	109	73	32	32	NUM
cuesj-1333	109	74	loss	loss	NOUN
cuesj-1333	109	75	2023–2024	2023–2024	NUM
cuesj-1333	109	76	1	1	NUM
cuesj-1333	109	77	29	29	NUM
cuesj-1333	109	78	30	30	NUM
cuesj-1333	109	79	win	win	NOUN
cuesj-1333	109	80	trophy	trophy	NOUN
cuesj-1333	109	81	:	:	PUNCT
cuesj-1333	109	82	101000110001000010011101	101000110001000010011101	NUM
cuesj-1333	109	83	the	the	DET
cuesj-1333	109	84	transitions	transition	NOUN
cuesj-1333	109	85	are	be	AUX
cuesj-1333	109	86	as	as	ADP
cuesj-1333	109	87	noted	note	VERB
cuesj-1333	109	88	in	in	ADP
cuesj-1333	109	89	table	table	NOUN
cuesj-1333	109	90	4	4	NUM
cuesj-1333	109	91	.	.	PUNCT
cuesj-1333	109	92	table	table	NOUN
cuesj-1333	109	93	4	4	NUM
cuesj-1333	109	94	shows	show	VERB
cuesj-1333	109	95	the	the	DET
cuesj-1333	109	96	transition	transition	NOUN
cuesj-1333	109	97	counts	count	NOUN
cuesj-1333	109	98	of	of	ADP
cuesj-1333	109	99	the	the	DET
cuesj-1333	109	100	losses	loss	NOUN
cuesj-1333	109	101	and	and	CCONJ
cuesj-1333	109	102	wins	win	NOUN
cuesj-1333	109	103	of	of	ADP
cuesj-1333	109	104	the	the	DET
cuesj-1333	109	105	real	real	PROPN
cuesj-1333	109	106	madrid	madrid	PROPN
cuesj-1333	109	107	football	football	NOUN
cuesj-1333	109	108	club	club	NOUN
cuesj-1333	109	109	.	.	PUNCT
cuesj-1333	110	1	then	then	ADV
cuesj-1333	110	2	the	the	DET
cuesj-1333	110	3	four	four	NUM
cuesj-1333	110	4	expected	expect	VERB
cuesj-1333	110	5	numbers	number	NOUN
cuesj-1333	110	6	mij	mij	X
cuesj-1333	110	7	(	(	PUNCT
cuesj-1333	110	8	i	i	PROPN
cuesj-1333	110	9	,	,	PUNCT
cuesj-1333	110	10	j	j	PROPN
cuesj-1333	110	11	=	=	SYM
cuesj-1333	110	12	0,1	0,1	NUM
cuesj-1333	110	13	)	)	PUNCT
cuesj-1333	110	14	of	of	ADP
cuesj-1333	110	15	the	the	DET
cuesj-1333	110	16	football	football	NOUN
cuesj-1333	110	17	sports	sport	NOUN
cuesj-1333	110	18	outcomes	outcome	NOUN
cuesj-1333	110	19	are	be	AUX
cuesj-1333	110	20	represented	represent	VERB
cuesj-1333	110	21	in	in	ADP
cuesj-1333	110	22	the	the	DET
cuesj-1333	110	23	following	follow	VERB
cuesj-1333	110	24	matrix	matrix	NOUN
cuesj-1333	110	25	,	,	PUNCT
cuesj-1333	110	26	defined	define	VERB
cuesj-1333	110	27	in	in	ADP
cuesj-1333	110	28	(	(	PUNCT
cuesj-1333	110	29	8)	8)	NUM
cuesj-1333	110	30	.	.	PUNCT
cuesj-1333	111	1	m	m	VERB
cuesj-1333	111	2	m	m	VERB
cuesj-1333	111	3	m	m	VERB
cuesj-1333	111	4	m	m	NOUN
cuesj-1333	111	5	mij	mij	NOUN
cuesj-1333	111	6	=	=	PUNCT
cuesj-1333	111	7			NOUN
cuesj-1333	111	8			ADJ
cuesj-1333	111	9			NOUN
cuesj-1333	111	10			ADP
cuesj-1333	111	11	00	00	NUM
cuesj-1333	112	1	01	01	NUM
cuesj-1333	112	2	10	10	NUM
cuesj-1333	112	3	11	11	NUM
cuesj-1333	112	4	ij	ij	NOUN
cuesj-1333	112	5	ij	ij	INTJ
cuesj-1333	113	1	i	i	PRON
cuesj-1333	113	2	ij	ij	INTJ
cuesj-1333	113	3	m	m	NOUN
cuesj-1333	113	4	m	m	VERB
cuesj-1333	113	5	i	i	PRON
cuesj-1333	113	6	j=	j=	ADV
cuesj-1333	113	7	=	=	SYM
cuesj-1333	113	8	∑	∑	PUNCT
cuesj-1333	113	9	�	�	PROPN
cuesj-1333	113	10	�	�	PROPN
cuesj-1333	113	11	�	�	PROPN
cuesj-1333	113	12	�	�	PROPN
cuesj-1333	113	13	�	�	PROPN
cuesj-1333	113	14	�	�	PROPN
cuesj-1333	113	15	,	,	PUNCT
cuesj-1333	113	16	,	,	PUNCT
cuesj-1333	113	17	0	0	NUM
cuesj-1333	113	18	1	1	NUM
cuesj-1333	113	19	mij	mij	X
cuesj-1333	113	20	�	�	PROPN
cuesj-1333	113	21	.	.	PUNCT
cuesj-1333	113	22	.	.	PUNCT
cuesj-1333	113	23	.	.	PUNCT
cuesj-1333	113	24	.	.	PUNCT
cuesj-1333	114	1	=	=	PRON
cuesj-1333	114	2			VERB
cuesj-1333	114	3			ADJ
cuesj-1333	114	4			NOUN
cuesj-1333	114	5			ADP
cuesj-1333	114	6	0	0	NUM
cuesj-1333	114	7	58	58	NUM
cuesj-1333	114	8	0	0	NUM
cuesj-1333	114	9	69	69	NUM
cuesj-1333	114	10	0	0	NUM
cuesj-1333	114	11	42	42	NUM
cuesj-1333	114	12	0	0	NUM
cuesj-1333	114	13	31	31	NUM
cuesj-1333	114	14	the	the	DET
cuesj-1333	114	15	expected	expect	VERB
cuesj-1333	114	16	number	number	NOUN
cuesj-1333	114	17	of	of	ADP
cuesj-1333	114	18	football	football	NOUN
cuesj-1333	114	19	sport	sport	NOUN
cuesj-1333	114	20	outcomes	outcome	NOUN
cuesj-1333	114	21	for	for	ADP
cuesj-1333	114	22	successive	successive	ADJ
cuesj-1333	114	23	games	game	NOUN
cuesj-1333	114	24	the	the	DET
cuesj-1333	114	25	expected	expect	VERB
cuesj-1333	114	26	number	number	NOUN
cuesj-1333	114	27	of	of	ADP
cuesj-1333	114	28	two	two	NUM
cuesj-1333	114	29	state	state	NOUN
cuesj-1333	114	30	football	football	NOUN
cuesj-1333	114	31	outcomes	outcome	NOUN
cuesj-1333	114	32	(	(	PUNCT
cuesj-1333	114	33	loss	loss	NOUN
cuesj-1333	114	34	and	and	CCONJ
cuesj-1333	114	35	win	win	NOUN
cuesj-1333	114	36	)	)	PUNCT
cuesj-1333	114	37	with	with	ADP
cuesj-1333	114	38	their	their	PRON
cuesj-1333	114	39	probabilities	probability	NOUN
cuesj-1333	114	40	for	for	ADP
cuesj-1333	114	41	successive	successive	ADJ
cuesj-1333	114	42	game	game	NOUN
cuesj-1333	114	43	times	time	NOUN
cuesj-1333	114	44	(	(	PUNCT
cuesj-1333	114	45	t	t	PROPN
cuesj-1333	114	46	)	)	PUNCT
cuesj-1333	114	47	is	be	AUX
cuesj-1333	114	48	defined	define	VERB
cuesj-1333	114	49	as	as	ADP
cuesj-1333	114	50	in	in	ADP
cuesj-1333	114	51	(	(	PUNCT
cuesj-1333	114	52	9	9	NUM
cuesj-1333	114	53	)	)	PUNCT
cuesj-1333	114	54	.	.	PUNCT
cuesj-1333	115	1	abdullkarim	abdullkarim	PROPN
cuesj-1333	115	2	,	,	PUNCT
cuesj-1333	115	3	et	et	PROPN
cuesj-1333	115	4	al	al	PROPN
cuesj-1333	115	5	.	.	PROPN
cuesj-1333	115	6	:	:	PUNCT
cuesj-1333	116	1	two	two	NUM
cuesj-1333	116	2	types	type	NOUN
cuesj-1333	116	3	of	of	ADP
cuesj-1333	116	4	branching	branch	VERB
cuesj-1333	116	5	markov	markov	NOUN
cuesj-1333	116	6	process	process	NOUN
cuesj-1333	116	7	12	12	NUM
cuesj-1333	116	8	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1333	116	9	cuesj	cuesj	NOUN
cuesj-1333	116	10	2025	2025	NUM
cuesj-1333	116	11	,	,	PUNCT
cuesj-1333	116	12	9	9	NUM
cuesj-1333	116	13	(	(	PUNCT
cuesj-1333	116	14	1	1	NUM
cuesj-1333	116	15	):	):	PUNCT
cuesj-1333	116	16	8	8	NUM
cuesj-1333	116	17	-	-	SYM
cuesj-1333	116	18	13	13	NUM
cuesj-1333	116	19	table	table	NOUN
cuesj-1333	116	20	4	4	NUM
cuesj-1333	116	21	:	:	PUNCT
cuesj-1333	116	22	the	the	DET
cuesj-1333	116	23	transition	transition	NOUN
cuesj-1333	116	24	counts	count	NOUN
cuesj-1333	116	25	of	of	ADP
cuesj-1333	116	26	the	the	DET
cuesj-1333	116	27	football	football	NOUN
cuesj-1333	116	28	sport	sport	NOUN
cuesj-1333	116	29	outcomes	outcome	NOUN
cuesj-1333	116	30	state	state	NOUN
cuesj-1333	116	31	0	0	NUM
cuesj-1333	116	32	1	1	NUM
cuesj-1333	116	33	total	total	NOUN
cuesj-1333	116	34	0	0	NUM
cuesj-1333	116	35	261	261	NUM
cuesj-1333	116	36	187	187	NUM
cuesj-1333	116	37	448	448	NUM
cuesj-1333	116	38	1	1	NUM
cuesj-1333	116	39	186	186	NUM
cuesj-1333	116	40	84	84	NUM
cuesj-1333	116	41	270	270	NUM
cuesj-1333	116	42	total	total	NOUN
cuesj-1333	116	43	447	447	NUM
cuesj-1333	116	44	271	271	NUM
cuesj-1333	116	45	718	718	NUM
cuesj-1333	116	46	table	table	NOUN
cuesj-1333	116	47	2	2	NUM
cuesj-1333	116	48	:	:	PUNCT
cuesj-1333	116	49	the	the	DET
cuesj-1333	116	50	transition	transition	NOUN
cuesj-1333	116	51	probabilities	probability	NOUN
cuesj-1333	116	52	of	of	ADP
cuesj-1333	116	53	football	football	NOUN
cuesj-1333	116	54	sports	sport	NOUN
cuesj-1333	116	55	outcomes	outcome	NOUN
cuesj-1333	116	56	with	with	ADP
cuesj-1333	116	57	game	game	NOUN
cuesj-1333	116	58	times	times	PROPN
cuesj-1333	116	59	time	time	NOUN
cuesj-1333	116	60	p00(t	p00(t	ADJ
cuesj-1333	116	61	)	)	PUNCT
cuesj-1333	116	62	p01(t	p01(t	NUM
cuesj-1333	116	63	)	)	PUNCT
cuesj-1333	116	64	p10(t	p10(t	VERB
cuesj-1333	116	65	)	)	PUNCT
cuesj-1333	116	66	p11(t	p11(t	VERB
cuesj-1333	116	67	)	)	PUNCT
cuesj-1333	117	1	1	1	NUM
cuesj-1333	117	2	0.860746816	0.860746816	NUM
cuesj-1333	117	3	0.139253184	0.139253184	NUM
cuesj-1333	117	4	0.523857216	0.523857216	NUM
cuesj-1333	117	5	0.476142784	0.476142784	NUM
cuesj-1333	117	6	2	2	NUM
cuesj-1333	117	7	0.813833866	0.813833866	NUM
cuesj-1333	117	8	0.186166134	0.186166134	NUM
cuesj-1333	117	9	0.700339264	0.700339264	NUM
cuesj-1333	117	10	0.299660736	0.299660736	NUM
cuesj-1333	117	11	3	3	NUM
cuesj-1333	117	12	0.798029382	0.798029382	NUM
cuesj-1333	117	13	0.201970618	0.201970618	NUM
cuesj-1333	117	14	0.759794231	0.759794231	NUM
cuesj-1333	117	15	0.240205769	0.240205769	NUM
cuesj-1333	117	16	4	4	NUM
cuesj-1333	117	17	0.792705015	0.792705015	NUM
cuesj-1333	117	18	0.207294985	0.207294985	NUM
cuesj-1333	117	19	0.77982399	0.77982399	NUM
cuesj-1333	117	20	0.22017601	0.22017601	NUM
cuesj-1333	117	21	5	5	NUM
cuesj-1333	117	22	0.790911291	0.790911291	NUM
cuesj-1333	117	23	0.209088709	0.209088709	NUM
cuesj-1333	117	24	0.786571808	0.786571808	NUM
cuesj-1333	117	25	0.213428192	0.213428192	NUM
cuesj-1333	117	26	6	6	NUM
cuesj-1333	117	27	0.790307005	0.790307005	NUM
cuesj-1333	117	28	0.209692995	0.209692995	NUM
cuesj-1333	117	29	0.788845078	0.788845078	NUM
cuesj-1333	117	30	0.211154922	0.211154922	NUM
cuesj-1333	117	31	7	7	NUM
cuesj-1333	117	32	0.790103427	0.790103427	NUM
cuesj-1333	117	33	0.209896573	0.209896573	NUM
cuesj-1333	117	34	0.789610919	0.789610919	NUM
cuesj-1333	117	35	0.210389081	0.210389081	NUM
cuesj-1333	117	36	8	8	NUM
cuesj-1333	117	37	0.790034843	0.790034843	NUM
cuesj-1333	117	38	0.209965157	0.209965157	NUM
cuesj-1333	117	39	0.789868923	0.789868923	NUM
cuesj-1333	117	40	0.210131077	0.210131077	NUM
cuesj-1333	117	41	9	9	NUM
cuesj-1333	117	42	0.790011738	0.790011738	NUM
cuesj-1333	117	43	0.209988262	0.209988262	NUM
cuesj-1333	117	44	0.789955841	0.789955841	NUM
cuesj-1333	117	45	0.210044159	0.210044159	NUM
cuesj-1333	117	46	10	10	NUM
cuesj-1333	117	47	0.790003955	0.790003955	NUM
cuesj-1333	117	48	0.209996045	0.209996045	NUM
cuesj-1333	117	49	0.789985123	0.789985123	NUM
cuesj-1333	117	50	0.210014877	0.210014877	NUM
cuesj-1333	117	51	table	table	NOUN
cuesj-1333	117	52	3	3	NUM
cuesj-1333	117	53	:	:	PUNCT
cuesj-1333	117	54	the	the	DET
cuesj-1333	117	55	expected	expect	VERB
cuesj-1333	117	56	time	time	NOUN
cuesj-1333	117	57	interval	interval	NOUN
cuesj-1333	117	58	of	of	ADP
cuesj-1333	117	59	the	the	DET
cuesj-1333	117	60	process	process	NOUN
cuesj-1333	117	61	spent	spend	VERB
cuesj-1333	117	62	in	in	ADP
cuesj-1333	117	63	each	each	DET
cuesj-1333	117	64	state	state	NOUN
cuesj-1333	117	65	with	with	ADP
cuesj-1333	117	66	game	game	NOUN
cuesj-1333	117	67	time	time	NOUN
cuesj-1333	117	68	time	time	NOUN
cuesj-1333	117	69	µ00(t	µ00(t	X
cuesj-1333	117	70	)	)	PUNCT
cuesj-1333	117	71	µ01(t	µ01(t	PROPN
cuesj-1333	117	72	)	)	PUNCT
cuesj-1333	117	73	µ10(t	µ10(t	VERB
cuesj-1333	117	74	)	)	PUNCT
cuesj-1333	117	75	µ11(t	µ11(t	ADV
cuesj-1333	117	76	)	)	PUNCT
cuesj-1333	117	77	5	5	NUM
cuesj-1333	118	1	4.139175498	4.139175498	NUM
cuesj-1333	118	2	0.860824502	0.860824502	NUM
cuesj-1333	118	3	3.223167823	3.223167823	NUM
cuesj-1333	118	4	1.776832177	1.776832177	NUM
cuesj-1333	118	5	10	10	NUM
cuesj-1333	118	6	8.089996422	8.089996422	NUM
cuesj-1333	118	7	1.910003578	1.910003578	NUM
cuesj-1333	118	8	7.170013747	7.170013747	NUM
cuesj-1333	118	9	2.829986253	2.829986253	NUM
cuesj-1333	118	10	15	15	NUM
cuesj-1333	118	11	12.03999998	12.03999998	NUM
cuesj-1333	118	12	2.960000016	2.960000016	NUM
cuesj-1333	118	13	11.12000006	11.12000006	NUM
cuesj-1333	118	14	3.87999994	3.87999994	NUM
cuesj-1333	118	15	20	20	NUM
cuesj-1333	118	16	15.99	15.99	NUM
cuesj-1333	118	17	4.01	4.01	NUM
cuesj-1333	118	18	15.07	15.07	NUM
cuesj-1333	118	19	4.93	4.93	NUM
cuesj-1333	118	20	25	25	NUM
cuesj-1333	118	21	19.94	19.94	NUM
cuesj-1333	118	22	5.06	5.06	NUM
cuesj-1333	118	23	19.02	19.02	NUM
cuesj-1333	118	24	5.98	5.98	NUM
cuesj-1333	118	25	30	30	NUM
cuesj-1333	118	26	23.89	23.89	NUM
cuesj-1333	118	27	6.11	6.11	NUM
cuesj-1333	118	28	22.97	22.97	NUM
cuesj-1333	118	29	7.03	7.03	NUM
cuesj-1333	118	30	35	35	NUM
cuesj-1333	118	31	27.84	27.84	NUM
cuesj-1333	118	32	7.16	7.16	NUM
cuesj-1333	118	33	26.92	26.92	NUM
cuesj-1333	118	34	8.08	8.08	NUM
cuesj-1333	118	35	table	table	NOUN
cuesj-1333	118	36	5	5	NUM
cuesj-1333	118	37	:	:	PUNCT
cuesj-1333	118	38	the	the	DET
cuesj-1333	118	39	expected	expect	VERB
cuesj-1333	118	40	number	number	NOUN
cuesj-1333	118	41	of	of	ADP
cuesj-1333	118	42	football	football	NOUN
cuesj-1333	118	43	sports	sport	NOUN
cuesj-1333	118	44	outcomes	outcome	NOUN
cuesj-1333	118	45	for	for	ADP
cuesj-1333	118	46	successive	successive	ADJ
cuesj-1333	118	47	games	game	NOUN
cuesj-1333	118	48	time	time	NOUN
cuesj-1333	118	49	(	(	PUNCT
cuesj-1333	118	50	t	t	NOUN
cuesj-1333	118	51	)	)	PUNCT
cuesj-1333	118	52	e	e	NOUN
cuesj-1333	118	53	(	(	PUNCT
cuesj-1333	118	54	gn+t	gn+t	PROPN
cuesj-1333	118	55	|	|	ADV
cuesj-1333	118	56	gn	gn	NOUN
cuesj-1333	118	57	)	)	PUNCT
cuesj-1333	119	1	=	=	PUNCT
cuesj-1333	119	2	gn	gn	INTJ
cuesj-1333	119	3	m	m	PROPN
cuesj-1333	119	4	(	(	PUNCT
cuesj-1333	119	5	t	t	PROPN
cuesj-1333	119	6	)	)	PUNCT
cuesj-1333	119	7	pr	pr	NOUN
cuesj-1333	119	8	.	.	PUNCT
cuesj-1333	119	9	of	of	ADP
cuesj-1333	119	10	loss	loss	NOUN
cuesj-1333	119	11	game	game	NOUN
cuesj-1333	119	12	pr	pr	NOUN
cuesj-1333	119	13	.	.	PUNCT
cuesj-1333	120	1	of	of	ADP
cuesj-1333	120	2	win	win	PROPN
cuesj-1333	120	3	game	game	NOUN
cuesj-1333	120	4	loss	loss	NOUN
cuesj-1333	120	5	win	win	VERB
cuesj-1333	120	6	1	1	NUM
cuesj-1333	120	7	337	337	NUM
cuesj-1333	120	8	286	286	NUM
cuesj-1333	120	9	0.54	0.54	NUM
cuesj-1333	120	10	0.46	0.46	NUM
cuesj-1333	120	11	2	2	NUM
cuesj-1333	120	12	154	154	NUM
cuesj-1333	120	13	126	126	NUM
cuesj-1333	120	14	0.55	0.55	NUM
cuesj-1333	120	15	0.45	0.45	NUM
cuesj-1333	120	16	3	3	NUM
cuesj-1333	120	17	73	73	NUM
cuesj-1333	120	18	65	65	NUM
cuesj-1333	120	19	0.53	0.53	NUM
cuesj-1333	120	20	0.47	0.47	NUM
cuesj-1333	120	21	4	4	NUM
cuesj-1333	120	22	35	35	NUM
cuesj-1333	120	23	37	37	NUM
cuesj-1333	120	24	0.49	0.49	NUM
cuesj-1333	120	25	0.51	0.51	NUM
cuesj-1333	120	26	5	5	NUM
cuesj-1333	120	27	17	17	NUM
cuesj-1333	120	28	24	24	NUM
cuesj-1333	120	29	0.41	0.41	NUM
cuesj-1333	120	30	0.59	0.59	NUM
cuesj-1333	120	31	6	6	NUM
cuesj-1333	120	32	8	8	NUM
cuesj-1333	120	33	16	16	NUM
cuesj-1333	120	34	0.33	0.33	NUM
cuesj-1333	120	35	0.67	0.67	NUM
cuesj-1333	120	36	7	7	NUM
cuesj-1333	120	37	4	4	NUM
cuesj-1333	120	38	11	11	NUM
cuesj-1333	120	39	0.27	0.27	NUM
cuesj-1333	120	40	0.73	0.73	NUM
cuesj-1333	120	41	8	8	NUM
cuesj-1333	120	42	2	2	NUM
cuesj-1333	120	43	7	7	NUM
cuesj-1333	120	44	0.22	0.22	NUM
cuesj-1333	120	45	0.78	0.78	NUM
cuesj-1333	120	46	9	9	NUM
cuesj-1333	120	47	1	1	NUM
cuesj-1333	120	48	5	5	NUM
cuesj-1333	120	49	0.2	0.2	NUM
cuesj-1333	120	50	0.8	0.8	NUM
cuesj-1333	120	51	e	e	NOUN
cuesj-1333	120	52	g	g	PROPN
cuesj-1333	120	53	g	g	PROPN
cuesj-1333	120	54	�	�	PROPN
cuesj-1333	120	55	�	�	PROPN
cuesj-1333	120	56	g	g	PROPN
cuesj-1333	120	57	�	�	PROPN
cuesj-1333	120	58	mn	mn	PROPN
cuesj-1333	120	59	t	t	PROPN
cuesj-1333	120	60	n	n	PROPN
cuesj-1333	120	61	n	n	PROPN
cuesj-1333	120	62	t	t	PROPN
cuesj-1333	120	63	(	(	PUNCT
cuesj-1333	120	64	|	|	ADV
cuesj-1333	120	65	)	)	PUNCT
cuesj-1333	120	66	(	(	PUNCT
cuesj-1333	120	67	)	)	PUNCT
cuesj-1333	121	1	+	+	X
cuesj-1333	121	2	=	=	SYM
cuesj-1333	121	3	=	=	SYM
cuesj-1333	121	4	(	(	PUNCT
cuesj-1333	121	5	)	)	PUNCT
cuesj-1333	121	6			PROPN
cuesj-1333	121	7			NOUN
cuesj-1333	121	8			NOUN
cuesj-1333	121	9			PROPN
cuesj-1333	121	10			PUNCT
cuesj-1333	122	1			PROPN
cuesj-1333	122	2	(	(	PUNCT
cuesj-1333	122	3	)	)	PUNCT
cuesj-1333	122	4	(	(	PUNCT
cuesj-1333	122	5	)	)	PUNCT
cuesj-1333	122	6	142	142	NUM
cuesj-1333	122	7	606	606	NUM
cuesj-1333	122	8	0	0	NUM
cuesj-1333	122	9	58	58	NUM
cuesj-1333	122	10	0	0	NUM
cuesj-1333	122	11	69	69	NUM
cuesj-1333	122	12	0	0	NUM
cuesj-1333	122	13	42	42	NUM
cuesj-1333	122	14	0	0	NUM
cuesj-1333	122	15	31	31	NUM
cuesj-1333	122	16	�	�	PROPN
cuesj-1333	122	17	�	�	PROPN
cuesj-1333	122	18	�	�	PROPN
cuesj-1333	122	19	t	t	PROPN
cuesj-1333	122	20	t	t	PROPN
cuesj-1333	122	21	t	t	PROPN
cuesj-1333	122	22	t	t	PROPN
cuesj-1333	122	23	.	.	PUNCT
cuesj-1333	122	24	.	.	PUNCT
cuesj-1333	122	25	.	.	PUNCT
cuesj-1333	122	26	.	.	PUNCT
cuesj-1333	123	1	(	(	PUNCT
cuesj-1333	123	2	)	)	PUNCT
cuesj-1333	123	3	(	(	PUNCT
cuesj-1333	123	4	)	)	PUNCT
cuesj-1333	123	5	table	table	NOUN
cuesj-1333	123	6	5	5	NUM
cuesj-1333	123	7	shows	show	VERB
cuesj-1333	123	8	the	the	DET
cuesj-1333	123	9	expected	expect	VERB
cuesj-1333	123	10	number	number	NOUN
cuesj-1333	123	11	of	of	ADP
cuesj-1333	123	12	losses	loss	NOUN
cuesj-1333	123	13	and	and	CCONJ
cuesj-1333	123	14	wins	win	VERB
cuesj-1333	123	15	with	with	ADP
cuesj-1333	123	16	their	their	PRON
cuesj-1333	123	17	probabilities	probability	NOUN
cuesj-1333	123	18	of	of	ADP
cuesj-1333	123	19	real	real	ADJ
cuesj-1333	123	20	madrid	madrid	PROPN
cuesj-1333	123	21	football	football	NOUN
cuesj-1333	123	22	outcomes	outcome	NOUN
cuesj-1333	123	23	for	for	ADP
cuesj-1333	123	24	successive	successive	ADJ
cuesj-1333	123	25	game	game	NOUN
cuesj-1333	123	26	times	time	NOUN
cuesj-1333	123	27	(	(	PUNCT
cuesj-1333	123	28	t	t	NOUN
cuesj-1333	123	29	=	=	SYM
cuesj-1333	123	30	1	1	NUM
cuesj-1333	123	31	,	,	PUNCT
cuesj-1333	123	32	2	2	NUM
cuesj-1333	123	33	,	,	PUNCT
cuesj-1333	123	34	…	…	PUNCT
cuesj-1333	123	35	,	,	PUNCT
cuesj-1333	123	36	9	9	NUM
cuesj-1333	123	37	)	)	PUNCT
cuesj-1333	123	38	.	.	PUNCT
cuesj-1333	124	1	conclusions	conclusion	NOUN
cuesj-1333	124	2	from	from	ADP
cuesj-1333	124	3	the	the	DET
cuesj-1333	124	4	results	result	NOUN
cuesj-1333	124	5	of	of	ADP
cuesj-1333	124	6	the	the	DET
cuesj-1333	124	7	application	application	NOUN
cuesj-1333	124	8	,	,	PUNCT
cuesj-1333	124	9	the	the	DET
cuesj-1333	124	10	following	follow	VERB
cuesj-1333	124	11	conclusions	conclusion	NOUN
cuesj-1333	124	12	are	be	AUX
cuesj-1333	124	13	found	find	VERB
cuesj-1333	124	14	:	:	PUNCT
cuesj-1333	124	15	1	1	X
cuesj-1333	124	16	.	.	X
cuesj-1333	124	17	for	for	ADP
cuesj-1333	124	18	given	give	VERB
cuesj-1333	124	19	some	some	DET
cuesj-1333	124	20	successive	successive	ADJ
cuesj-1333	124	21	game	game	NOUN
cuesj-1333	124	22	times	time	NOUN
cuesj-1333	124	23	,	,	PUNCT
cuesj-1333	124	24	the	the	DET
cuesj-1333	124	25	transition	transition	NOUN
cuesj-1333	124	26	probabilities	probability	NOUN
cuesj-1333	124	27	p00	p00	PROPN
cuesj-1333	124	28	(	(	PUNCT
cuesj-1333	124	29	t	t	PROPN
cuesj-1333	124	30	)	)	PUNCT
cuesj-1333	124	31	and	and	CCONJ
cuesj-1333	124	32	p11	p11	NOUN
cuesj-1333	124	33	(	(	PUNCT
cuesj-1333	124	34	t	t	NOUN
cuesj-1333	124	35	)	)	PUNCT
cuesj-1333	124	36	of	of	ADP
cuesj-1333	124	37	the	the	DET
cuesj-1333	124	38	football	football	NOUN
cuesj-1333	124	39	sports	sport	NOUN
cuesj-1333	124	40	outcomes	outcome	NOUN
cuesj-1333	124	41	are	be	AUX
cuesj-1333	124	42	decreasing	decrease	VERB
cuesj-1333	124	43	,	,	PUNCT
cuesj-1333	124	44	but	but	CCONJ
cuesj-1333	124	45	p01	p01	NOUN
cuesj-1333	124	46	(	(	PUNCT
cuesj-1333	124	47	t	t	NOUN
cuesj-1333	124	48	)	)	PUNCT
cuesj-1333	124	49	and	and	CCONJ
cuesj-1333	124	50	p10	p10	NOUN
cuesj-1333	124	51	(	(	PUNCT
cuesj-1333	124	52	t	t	NOUN
cuesj-1333	124	53	)	)	PUNCT
cuesj-1333	124	54	are	be	AUX
cuesj-1333	124	55	increasing	increase	VERB
cuesj-1333	124	56	2	2	NUM
cuesj-1333	124	57	.	.	PUNCT
cuesj-1333	125	1	the	the	DET
cuesj-1333	125	2	expected	expect	VERB
cuesj-1333	125	3	time	time	NOUN
cuesj-1333	125	4	interval	interval	NOUN
cuesj-1333	125	5	the	the	DET
cuesj-1333	125	6	process	process	NOUN
cuesj-1333	125	7	(	(	PUNCT
cuesj-1333	125	8	football	football	NOUN
cuesj-1333	125	9	sport	sport	NOUN
cuesj-1333	125	10	)	)	PUNCT
cuesj-1333	125	11	spends	spend	VERB
cuesj-1333	125	12	in	in	ADP
cuesj-1333	125	13	any	any	DET
cuesj-1333	125	14	one	one	NUM
cuesj-1333	125	15	of	of	ADP
cuesj-1333	125	16	the	the	DET
cuesj-1333	125	17	outcomes	outcome	NOUN
cuesj-1333	125	18	during	during	ADP
cuesj-1333	125	19	each	each	DET
cuesj-1333	125	20	transition	transition	NOUN
cuesj-1333	125	21	is	be	AUX
cuesj-1333	125	22	continually	continually	ADV
cuesj-1333	125	23	increasing	increase	VERB
cuesj-1333	125	24	3	3	NUM
cuesj-1333	125	25	.	.	PUNCT
cuesj-1333	126	1	the	the	DET
cuesj-1333	126	2	stationary	stationary	ADJ
cuesj-1333	126	3	distribution	distribution	NOUN
cuesj-1333	126	4	of	of	ADP
cuesj-1333	126	5	the	the	DET
cuesj-1333	126	6	football	football	NOUN
cuesj-1333	126	7	sports	sport	NOUN
cuesj-1333	126	8	outcomes	outcome	NOUN
cuesj-1333	126	9	shows	show	VERB
cuesj-1333	126	10	that	that	SCONJ
cuesj-1333	126	11	the	the	DET
cuesj-1333	126	12	real	real	ADJ
cuesj-1333	126	13	madrid	madrid	PROPN
cuesj-1333	126	14	team	team	NOUN
cuesj-1333	126	15	will	will	AUX
cuesj-1333	126	16	win	win	VERB
cuesj-1333	126	17	a	a	DET
cuesj-1333	126	18	game	game	NOUN
cuesj-1333	126	19	with	with	ADP
cuesj-1333	126	20	the	the	DET
cuesj-1333	126	21	lowest	low	ADJ
cuesj-1333	126	22	probability	probability	NOUN
cuesj-1333	126	23	and	and	CCONJ
cuesj-1333	126	24	lose	lose	VERB
cuesj-1333	126	25	a	a	DET
cuesj-1333	126	26	game	game	NOUN
cuesj-1333	126	27	with	with	ADP
cuesj-1333	126	28	the	the	DET
cuesj-1333	126	29	highest	high	ADJ
cuesj-1333	126	30	probability	probability	NOUN
cuesj-1333	126	31	in	in	ADP
cuesj-1333	126	32	a	a	DET
cuesj-1333	126	33	long	long	ADJ
cuesj-1333	126	34	time	time	NOUN
cuesj-1333	126	35	4	4	NUM
cuesj-1333	126	36	.	.	PUNCT
cuesj-1333	127	1	the	the	DET
cuesj-1333	127	2	expected	expect	VERB
cuesj-1333	127	3	number	number	NOUN
cuesj-1333	127	4	of	of	ADP
cuesj-1333	127	5	real	real	ADJ
cuesj-1333	127	6	madrid	madrid	PROPN
cuesj-1333	127	7	football	football	NOUN
cuesj-1333	127	8	sports	sport	NOUN
cuesj-1333	127	9	outcomes	outcome	NOUN
cuesj-1333	127	10	for	for	ADP
cuesj-1333	127	11	successive	successive	ADJ
cuesj-1333	127	12	game	game	NOUN
cuesj-1333	127	13	times	time	NOUN
cuesj-1333	127	14	are	be	AUX
cuesj-1333	127	15	continually	continually	ADV
cuesj-1333	127	16	decreasing	decrease	VERB
cuesj-1333	127	17	till	till	SCONJ
cuesj-1333	127	18	the	the	DET
cuesj-1333	127	19	number	number	NOUN
cuesj-1333	127	20	of	of	ADP
cuesj-1333	127	21	games	game	NOUN
cuesj-1333	127	22	becomes	become	VERB
cuesj-1333	127	23	five	five	NUM
cuesj-1333	127	24	,	,	PUNCT
cuesj-1333	127	25	then	then	ADV
cuesj-1333	127	26	the	the	DET
cuesj-1333	127	27	mentioned	mention	VERB
cuesj-1333	127	28	team	team	NOUN
cuesj-1333	127	29	has	have	AUX
cuesj-1333	127	30	won	win	VERB
cuesj-1333	127	31	four	four	NUM
cuesj-1333	127	32	games	game	NOUN
cuesj-1333	127	33	against	against	ADP
cuesj-1333	127	34	one	one	NUM
cuesj-1333	127	35	lost	lose	VERB
cuesj-1333	127	36	game	game	NOUN
cuesj-1333	127	37	.	.	PUNCT
cuesj-1333	128	1	references	reference	NOUN
cuesj-1333	128	2	1	1	NUM
cuesj-1333	128	3	.	.	PUNCT
cuesj-1333	129	1	j.	j.	PROPN
cuesj-1333	129	2	medhi	medhi	PROPN
cuesj-1333	129	3	.	.	PUNCT
cuesj-1333	130	1	stochastic	stochastic	ADJ
cuesj-1333	130	2	processes	process	NOUN
cuesj-1333	130	3	.	.	PUNCT
cuesj-1333	131	1	2nd	2nd	ADJ
cuesj-1333	131	2	ed	ed	NOUN
cuesj-1333	131	3	.	.	PUNCT
cuesj-1333	132	1	new	new	ADJ
cuesj-1333	132	2	age	age	PROPN
cuesj-1333	132	3	international	international	PROPN
cuesj-1333	132	4	,	,	PUNCT
cuesj-1333	132	5	new	new	ADJ
cuesj-1333	132	6	delhi	delhi	PROPN
cuesj-1333	132	7	,	,	PUNCT
cuesj-1333	132	8	2004	2004	NUM
cuesj-1333	132	9	.	.	PUNCT
cuesj-1333	133	1	2	2	X
cuesj-1333	133	2	.	.	X
cuesj-1333	133	3	b.	b.	PROPN
cuesj-1333	133	4	sericola	sericola	PROPN
cuesj-1333	133	5	.	.	PUNCT
cuesj-1333	134	1	markov	markov	PROPN
cuesj-1333	134	2	chains	chain	NOUN
cuesj-1333	134	3	:	:	PUNCT
cuesj-1333	134	4	theory	theory	NOUN
cuesj-1333	134	5	and	and	CCONJ
cuesj-1333	134	6	applications	application	NOUN
cuesj-1333	134	7	.	.	PUNCT
cuesj-1333	135	1	john	john	PROPN
cuesj-1333	135	2	wiley	wiley	PROPN
cuesj-1333	135	3	&	&	CCONJ
cuesj-1333	135	4	sons	sons	PROPN
cuesj-1333	135	5	,	,	PUNCT
cuesj-1333	135	6	united	united	PROPN
cuesj-1333	135	7	states	states	PROPN
cuesj-1333	135	8	,	,	PUNCT
cuesj-1333	135	9	2013	2013	NUM
cuesj-1333	135	10	.	.	PUNCT
cuesj-1333	136	1	abdullkarim	abdullkarim	NOUN
cuesj-1333	136	2	,	,	PUNCT
cuesj-1333	136	3	et	et	PROPN
cuesj-1333	136	4	al	al	PROPN
cuesj-1333	136	5	.	.	PROPN
cuesj-1333	136	6	:	:	PUNCT
cuesj-1333	137	1	two	two	NUM
cuesj-1333	137	2	types	type	NOUN
cuesj-1333	137	3	of	of	ADP
cuesj-1333	137	4	branching	branch	VERB
cuesj-1333	137	5	markov	markov	NOUN
cuesj-1333	137	6	process	process	NOUN
cuesj-1333	137	7	13	13	NUM
cuesj-1333	137	8	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-1333	137	9	cuesj	cuesj	NOUN
cuesj-1333	137	10	2025	2025	NUM
cuesj-1333	137	11	,	,	PUNCT
cuesj-1333	137	12	9	9	NUM
cuesj-1333	137	13	(	(	PUNCT
cuesj-1333	137	14	1	1	NUM
cuesj-1333	137	15	):	):	PUNCT
cuesj-1333	137	16	8	8	NUM
cuesj-1333	137	17	-	-	SYM
cuesj-1333	137	18	13	13	NUM
cuesj-1333	137	19	3	3	NUM
cuesj-1333	137	20	.	.	PUNCT
cuesj-1333	137	21	u.	u.	PROPN
cuesj-1333	137	22	n.	n.	PROPN
cuesj-1333	137	23	bhat	bhat	PROPN
cuesj-1333	137	24	and	and	CCONJ
cuesj-1333	137	25	g.	g.	PROPN
cuesj-1333	137	26	k.	k.	PROPN
cuesj-1333	137	27	miller	miller	PROPN
cuesj-1333	137	28	.	.	PUNCT
cuesj-1333	138	1	elements	element	NOUN
cuesj-1333	138	2	of	of	ADP
cuesj-1333	138	3	applied	apply	VERB
cuesj-1333	138	4	stochastic	stochastic	ADJ
cuesj-1333	138	5	processes	process	NOUN
cuesj-1333	138	6	.	.	PUNCT
cuesj-1333	139	1	wiley	wiley	PROPN
cuesj-1333	139	2	series	series	PROPN
cuesj-1333	139	3	in	in	ADP
cuesj-1333	139	4	probability	probability	NOUN
cuesj-1333	139	5	and	and	CCONJ
cuesj-1333	139	6	statistics	statistic	NOUN
cuesj-1333	139	7	.	.	PUNCT
cuesj-1333	140	1	3rd	3rd	ADJ
cuesj-1333	140	2	ed	ed	NOUN
cuesj-1333	140	3	.	.	PUNCT
cuesj-1333	140	4	wileyinterscience	wileyinterscience	PROPN
cuesj-1333	140	5	,	,	PUNCT
cuesj-1333	140	6	hoboken	hoboken	PROPN
cuesj-1333	140	7	,	,	PUNCT
cuesj-1333	140	8	nj	nj	PROPN
cuesj-1333	140	9	,	,	PUNCT
cuesj-1333	140	10	p.	p.	NOUN
cuesj-1333	140	11	488	488	NUM
cuesj-1333	140	12	,	,	PUNCT
cuesj-1333	140	13	2002	2002	NUM
cuesj-1333	140	14	.	.	PUNCT
cuesj-1333	141	1	4	4	NUM
cuesj-1333	141	2	.	.	X
cuesj-1333	141	3	r.	r.	PROPN
cuesj-1333	141	4	douc	douc	PROPN
cuesj-1333	141	5	,	,	PUNCT
cuesj-1333	141	6	e.	e.	PROPN
cuesj-1333	141	7	moulines	moulines	PROPN
cuesj-1333	141	8	,	,	PUNCT
cuesj-1333	141	9	p.	p.	NOUN
cuesj-1333	141	10	priouret	priouret	PROPN
cuesj-1333	141	11	and	and	CCONJ
cuesj-1333	141	12	p.	p.	NOUN
cuesj-1333	141	13	soulier	soulier	NOUN
cuesj-1333	141	14	.	.	PUNCT
cuesj-1333	142	1	markov	markov	NOUN
cuesj-1333	142	2	chains	chain	NOUN
cuesj-1333	142	3	:	:	PUNCT
cuesj-1333	142	4	basic	basic	ADJ
cuesj-1333	142	5	definitions	definition	NOUN
cuesj-1333	142	6	.	.	PUNCT
cuesj-1333	143	1	(	(	PUNCT
cuesj-1333	143	2	springer	springer	NOUN
cuesj-1333	143	3	series	series	NOUN
cuesj-1333	143	4	in	in	ADP
cuesj-1333	143	5	operations	operation	NOUN
cuesj-1333	143	6	research	research	NOUN
cuesj-1333	143	7	and	and	CCONJ
cuesj-1333	143	8	financial	financial	ADJ
cuesj-1333	143	9	engineering	engineering	NOUN
cuesj-1333	143	10	)	)	PUNCT
cuesj-1333	143	11	.	.	PUNCT
cuesj-1333	144	1	springer	springer	NOUN
cuesj-1333	144	2	international	international	ADJ
cuesj-1333	144	3	publishing	publishing	NOUN
cuesj-1333	144	4	,	,	PUNCT
cuesj-1333	144	5	cham	cham	NOUN
cuesj-1333	144	6	,	,	PUNCT
cuesj-1333	144	7	2018	2018	NUM
cuesj-1333	144	8	.	.	PUNCT
cuesj-1333	145	1	5	5	NUM
cuesj-1333	145	2	.	.	X
cuesj-1333	145	3	s.	s.	PROPN
cuesj-1333	145	4	m.	m.	PROPN
cuesj-1333	145	5	ross	ross	PROPN
cuesj-1333	145	6	.	.	PROPN
cuesj-1333	146	1	introduction	introduction	NOUN
cuesj-1333	146	2	to	to	ADP
cuesj-1333	146	3	probability	probability	NOUN
cuesj-1333	146	4	models	model	NOUN
cuesj-1333	146	5	.	.	PUNCT
cuesj-1333	147	1	11th	11th	ADJ
cuesj-1333	147	2	ed	ed	NOUN
cuesj-1333	147	3	.	.	PUNCT
cuesj-1333	148	1	elsevier	elsevier	PROPN
cuesj-1333	148	2	inc	inc	PROPN
cuesj-1333	148	3	,	,	PUNCT
cuesj-1333	148	4	amsterdam	amsterdam	PROPN
cuesj-1333	148	5	,	,	PUNCT
cuesj-1333	148	6	netherlands	netherlands	PROPN
cuesj-1333	148	7	,	,	PUNCT
cuesj-1333	148	8	2014	2014	NUM
cuesj-1333	148	9	.	.	PUNCT
cuesj-1333	149	1	6	6	NUM
cuesj-1333	149	2	.	.	X
cuesj-1333	149	3	m.	m.	PROPN
cuesj-1333	149	4	gonzález	gonzález	PROPN
cuesj-1333	149	5	,	,	PUNCT
cuesj-1333	149	6	i.	i.	PROPN
cuesj-1333	149	7	m.	m.	PROPN
cuesj-1333	149	8	puerto	puerto	PROPN
cuesj-1333	149	9	,	,	PUNCT
cuesj-1333	149	10	r.	r.	PROPN
cuesj-1333	149	11	martínez	martínez	PROPN
cuesj-1333	149	12	,	,	PUNCT
cuesj-1333	149	13	m.	m.	NOUN
cuesj-1333	149	14	molina	molina	PROPN
cuesj-1333	149	15	,	,	PUNCT
cuesj-1333	149	16	m.	m.	NOUN
cuesj-1333	149	17	mota	mota	PROPN
cuesj-1333	149	18	and	and	CCONJ
cuesj-1333	149	19	a.	a.	PROPN
cuesj-1333	149	20	ramos	ramos	PROPN
cuesj-1333	149	21	.	.	PUNCT
cuesj-1333	150	1	workshop	workshop	NOUN
cuesj-1333	150	2	on	on	ADP
cuesj-1333	150	3	branching	branch	VERB
cuesj-1333	150	4	processes	process	NOUN
cuesj-1333	150	5	and	and	CCONJ
cuesj-1333	150	6	their	their	PRON
cuesj-1333	150	7	applications	application	NOUN
cuesj-1333	150	8	.	.	PUNCT
cuesj-1333	151	1	springer	springer	NOUN
cuesj-1333	151	2	science	science	PROPN
cuesj-1333	151	3	&	&	CCONJ
cuesj-1333	151	4	business	business	NOUN
cuesj-1333	151	5	media	medium	NOUN
cuesj-1333	151	6	,	,	PUNCT
cuesj-1333	151	7	berlin	berlin	PROPN
cuesj-1333	151	8	,	,	PUNCT
cuesj-1333	151	9	germany	germany	PROPN
cuesj-1333	151	10	,	,	PUNCT
cuesj-1333	151	11	2010	2010	NUM
cuesj-1333	151	12	.	.	PUNCT
cuesj-1333	152	1	7	7	X
cuesj-1333	152	2	.	.	X
cuesj-1333	152	3	d.	d.	PROPN
cuesj-1333	152	4	axelrod	axelrod	PROPN
cuesj-1333	152	5	and	and	CCONJ
cuesj-1333	152	6	m.	m.	PROPN
cuesj-1333	152	7	kimmel	kimmel	PROPN
cuesj-1333	152	8	.	.	PUNCT
cuesj-1333	153	1	branching	branch	VERB
cuesj-1333	153	2	processes	process	NOUN
cuesj-1333	153	3	in	in	ADP
cuesj-1333	153	4	biology	biology	NOUN
cuesj-1333	153	5	.	.	PUNCT
cuesj-1333	154	1	springer	springer	NOUN
cuesj-1333	154	2	-	-	PUNCT
cuesj-1333	154	3	verlag	verlag	PROPN
cuesj-1333	154	4	,	,	PUNCT
cuesj-1333	154	5	berlin	berlin	PROPN
cuesj-1333	154	6	,	,	PUNCT
cuesj-1333	154	7	germany	germany	PROPN
cuesj-1333	154	8	,	,	PUNCT
cuesj-1333	154	9	2015	2015	NUM
cuesj-1333	154	10	.	.	PUNCT
cuesj-1333	155	1	8	8	X
cuesj-1333	155	2	.	.	PUNCT
cuesj-1333	156	1	j.	j.	PROPN
cuesj-1333	156	2	r.	r.	PROPN
cuesj-1333	156	3	kirkwood	kirkwood	PROPN
cuesj-1333	156	4	.	.	PUNCT
cuesj-1333	157	1	markov	markov	NOUN
cuesj-1333	157	2	processes	process	NOUN
cuesj-1333	157	3	.	.	PUNCT
cuesj-1333	158	1	1st	1st	ADJ
cuesj-1333	158	2	ed	ed	NOUN
cuesj-1333	158	3	.	.	PUNCT
cuesj-1333	159	1	crc	crc	PROPN
cuesj-1333	159	2	press	press	PROPN
cuesj-1333	159	3	,	,	PUNCT
cuesj-1333	159	4	united	united	PROPN
cuesj-1333	159	5	states	states	PROPN
cuesj-1333	159	6	,	,	PUNCT
cuesj-1333	159	7	2015	2015	NUM
cuesj-1333	159	8	.	.	PUNCT
cuesj-1333	160	1	9	9	X
cuesj-1333	160	2	.	.	X
cuesj-1333	160	3	m.	m.	PROPN
cuesj-1333	160	4	lefebvre	lefebvre	PROPN
cuesj-1333	160	5	.	.	PUNCT
cuesj-1333	161	1	applied	apply	VERB
cuesj-1333	161	2	stochastic	stochastic	ADJ
cuesj-1333	161	3	processes	process	NOUN
cuesj-1333	161	4	.	.	PUNCT
cuesj-1333	162	1	springer	springer	NOUN
cuesj-1333	162	2	science	science	PROPN
cuesj-1333	162	3	&	&	CCONJ
cuesj-1333	162	4	business	business	NOUN
cuesj-1333	162	5	media	medium	NOUN
cuesj-1333	162	6	,	,	PUNCT
cuesj-1333	162	7	berlin	berlin	PROPN
cuesj-1333	162	8	,	,	PUNCT
cuesj-1333	162	9	germany	germany	PROPN
cuesj-1333	162	10	,	,	PUNCT
cuesj-1333	162	11	2007	2007	NUM
cuesj-1333	162	12	.	.	PUNCT
cuesj-1333	163	1	10	10	NUM
cuesj-1333	163	2	.	.	PUNCT
cuesj-1333	164	1	p.	p.	NOUN
cuesj-1333	164	2	haccou	haccou	PROPN
cuesj-1333	164	3	,	,	PUNCT
cuesj-1333	164	4	p.	p.	NOUN
cuesj-1333	164	5	jagers	jager	NOUN
cuesj-1333	164	6	and	and	CCONJ
cuesj-1333	164	7	v.	v.	ADP
cuesj-1333	164	8	a.	a.	PROPN
cuesj-1333	164	9	vatutin	vatutin	PROPN
cuesj-1333	164	10	.	.	PUNCT
cuesj-1333	165	1	branching	branch	VERB
cuesj-1333	165	2	processes	process	NOUN
cuesj-1333	165	3	:	:	PUNCT
cuesj-1333	165	4	variation	variation	NOUN
cuesj-1333	165	5	,	,	PUNCT
cuesj-1333	165	6	growth	growth	NOUN
cuesj-1333	165	7	,	,	PUNCT
cuesj-1333	165	8	and	and	CCONJ
cuesj-1333	165	9	extinction	extinction	NOUN
cuesj-1333	165	10	of	of	ADP
cuesj-1333	165	11	populations	population	NOUN
cuesj-1333	165	12	.	.	PUNCT
cuesj-1333	166	1	cambridge	cambridge	PROPN
cuesj-1333	166	2	university	university	PROPN
cuesj-1333	166	3	press	press	PROPN
cuesj-1333	166	4	,	,	PUNCT
cuesj-1333	166	5	united	united	ADJ
cuesj-1333	166	6	kingdom	kingdom	PROPN
cuesj-1333	166	7	,	,	PUNCT
cuesj-1333	166	8	2005	2005	NUM
cuesj-1333	166	9	.	.	PUNCT