id	sid	tid	token	lemma	pos
ejpam-3014	1	1	european	european	PROPN
ejpam-3014	1	2	journal	journal	PROPN
ejpam-3014	1	3	of	of	ADP
ejpam-3014	1	4	pure	pure	ADJ
ejpam-3014	1	5	and	and	CCONJ
ejpam-3014	1	6	applied	apply	VERB
ejpam-3014	1	7	mathematics	mathematic	NOUN
ejpam-3014	1	8	vol	vol	NOUN
ejpam-3014	1	9	.	.	PROPN
ejpam-3014	2	1	10	10	NUM
ejpam-3014	2	2	,	,	PUNCT
ejpam-3014	2	3	no	no	INTJ
ejpam-3014	2	4	.	.	NOUN
ejpam-3014	2	5	4	4	NUM
ejpam-3014	2	6	,	,	PUNCT
ejpam-3014	2	7	2017	2017	NUM
ejpam-3014	2	8	,	,	PUNCT
ejpam-3014	2	9	877	877	NUM
ejpam-3014	2	10	-	-	SYM
ejpam-3014	2	11	889	889	NUM
ejpam-3014	2	12	issn	issn	PROPN
ejpam-3014	2	13	1307	1307	NUM
ejpam-3014	2	14	-	-	SYM
ejpam-3014	2	15	5543	5543	NUM
ejpam-3014	2	16	–	–	PUNCT
ejpam-3014	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3014	2	18	published	publish	VERB
ejpam-3014	2	19	by	by	ADP
ejpam-3014	2	20	new	new	PROPN
ejpam-3014	2	21	york	york	PROPN
ejpam-3014	2	22	business	business	PROPN
ejpam-3014	2	23	global	global	ADJ
ejpam-3014	2	24	optimal	optimal	ADJ
ejpam-3014	2	25	reliability	reliability	NOUN
ejpam-3014	2	26	allocation	allocation	NOUN
ejpam-3014	2	27	for	for	ADP
ejpam-3014	2	28	redundancy	redundancy	NOUN
ejpam-3014	2	29	series	series	NOUN
ejpam-3014	2	30	-	-	PUNCT
ejpam-3014	2	31	parallel	parallel	ADJ
ejpam-3014	2	32	systems	system	NOUN
ejpam-3014	3	1	saad	saad	PROPN
ejpam-3014	3	2	abbas	abbas	PROPN
ejpam-3014	3	3	abed1	abed1	PROPN
ejpam-3014	3	4	,	,	PUNCT
ejpam-3014	3	5	constantin	constantin	PROPN
ejpam-3014	3	6	udriste1,∗	udriste1,∗	PROPN
ejpam-3014	3	7	,	,	PUNCT
ejpam-3014	3	8	ionel	ionel	NOUN
ejpam-3014	3	9	tevy1	tevy1	NOUN
ejpam-3014	3	10	1	1	NUM
ejpam-3014	3	11	department	department	NOUN
ejpam-3014	3	12	of	of	ADP
ejpam-3014	3	13	mathematics	mathematic	NOUN
ejpam-3014	3	14	and	and	CCONJ
ejpam-3014	3	15	informatics	informatic	NOUN
ejpam-3014	3	16	,	,	PUNCT
ejpam-3014	3	17	faculty	faculty	NOUN
ejpam-3014	3	18	of	of	ADP
ejpam-3014	3	19	applied	apply	VERB
ejpam-3014	3	20	sciences	sciences	PROPN
ejpam-3014	3	21	university	university	PROPN
ejpam-3014	3	22	politehnica	politehnica	NOUN
ejpam-3014	3	23	of	of	ADP
ejpam-3014	3	24	bucharest	bucharest	PROPN
ejpam-3014	3	25	,	,	PUNCT
ejpam-3014	3	26	romania	romania	PROPN
ejpam-3014	3	27	abstract	abstract	NOUN
ejpam-3014	3	28	.	.	PUNCT
ejpam-3014	4	1	this	this	DET
ejpam-3014	4	2	paper	paper	NOUN
ejpam-3014	4	3	examines	examine	VERB
ejpam-3014	4	4	the	the	DET
ejpam-3014	4	5	optimal	optimal	ADJ
ejpam-3014	4	6	reliability	reliability	NOUN
ejpam-3014	4	7	approaches	approach	NOUN
ejpam-3014	4	8	to	to	PART
ejpam-3014	4	9	allocate	allocate	VERB
ejpam-3014	4	10	the	the	DET
ejpam-3014	4	11	reliability	reliability	NOUN
ejpam-3014	4	12	values	value	NOUN
ejpam-3014	4	13	based	base	VERB
ejpam-3014	4	14	on	on	ADP
ejpam-3014	4	15	minimization	minimization	NOUN
ejpam-3014	4	16	of	of	ADP
ejpam-3014	4	17	the	the	DET
ejpam-3014	4	18	total	total	ADJ
ejpam-3014	4	19	cost	cost	NOUN
ejpam-3014	4	20	for	for	ADP
ejpam-3014	4	21	a	a	DET
ejpam-3014	4	22	series	series	NOUN
ejpam-3014	4	23	-	-	PUNCT
ejpam-3014	4	24	parallel	parallel	ADJ
ejpam-3014	4	25	systems	system	NOUN
ejpam-3014	4	26	.	.	PUNCT
ejpam-3014	5	1	the	the	DET
ejpam-3014	5	2	problem	problem	NOUN
ejpam-3014	5	3	is	be	AUX
ejpam-3014	5	4	approached	approach	VERB
ejpam-3014	5	5	as	as	ADP
ejpam-3014	5	6	a	a	DET
ejpam-3014	5	7	nonlinear	nonlinear	ADJ
ejpam-3014	5	8	programming	programming	NOUN
ejpam-3014	5	9	problem	problem	NOUN
ejpam-3014	5	10	and	and	CCONJ
ejpam-3014	5	11	general	general	ADJ
ejpam-3014	5	12	costs	cost	NOUN
ejpam-3014	5	13	formulas	formula	NOUN
ejpam-3014	5	14	were	be	AUX
ejpam-3014	5	15	suggested	suggest	VERB
ejpam-3014	5	16	.	.	PUNCT
ejpam-3014	6	1	the	the	DET
ejpam-3014	6	2	original	original	ADJ
ejpam-3014	6	3	results	result	NOUN
ejpam-3014	6	4	include	include	VERB
ejpam-3014	6	5	:	:	PUNCT
ejpam-3014	6	6	(	(	PUNCT
ejpam-3014	6	7	i	i	NOUN
ejpam-3014	6	8	)	)	PUNCT
ejpam-3014	6	9	submersion	submersion	NOUN
ejpam-3014	6	10	of	of	ADP
ejpam-3014	6	11	a	a	DET
ejpam-3014	6	12	”	"	PUNCT
ejpam-3014	6	13	series	series	NOUN
ejpam-3014	6	14	-	-	PUNCT
ejpam-3014	6	15	parallel	parallel	ADJ
ejpam-3014	6	16	system	system	NOUN
ejpam-3014	6	17	”	"	PUNCT
ejpam-3014	6	18	into	into	ADP
ejpam-3014	6	19	a	a	DET
ejpam-3014	6	20	”	"	PUNCT
ejpam-3014	6	21	series	series	NOUN
ejpam-3014	6	22	system	system	NOUN
ejpam-3014	6	23	”	"	PUNCT
ejpam-3014	6	24	,	,	PUNCT
ejpam-3014	6	25	(	(	PUNCT
ejpam-3014	6	26	ii	ii	NOUN
ejpam-3014	6	27	)	)	PUNCT
ejpam-3014	6	28	detailed	detailed	ADJ
ejpam-3014	6	29	analyse	analyse	NOUN
ejpam-3014	6	30	of	of	ADP
ejpam-3014	6	31	a	a	DET
ejpam-3014	6	32	series	series	NOUN
ejpam-3014	6	33	-	-	PUNCT
ejpam-3014	6	34	parallel	parallel	ADJ
ejpam-3014	6	35	system	system	NOUN
ejpam-3014	6	36	whose	whose	DET
ejpam-3014	6	37	components	component	NOUN
ejpam-3014	6	38	of	of	ADP
ejpam-3014	6	39	each	each	DET
ejpam-3014	6	40	subsystem	subsystem	NOUN
ejpam-3014	6	41	have	have	VERB
ejpam-3014	6	42	the	the	DET
ejpam-3014	6	43	same	same	ADJ
ejpam-3014	6	44	reliability	reliability	NOUN
ejpam-3014	6	45	;	;	PUNCT
ejpam-3014	6	46	(	(	PUNCT
ejpam-3014	6	47	iii	iii	X
ejpam-3014	6	48	)	)	PUNCT
ejpam-3014	6	49	designing	design	VERB
ejpam-3014	6	50	series	series	NOUN
ejpam-3014	6	51	-	-	PUNCT
ejpam-3014	6	52	parallel	parallel	ADJ
ejpam-3014	6	53	systems	system	NOUN
ejpam-3014	6	54	by	by	ADP
ejpam-3014	6	55	similarities	similarity	NOUN
ejpam-3014	6	56	with	with	ADP
ejpam-3014	6	57	other	other	ADJ
ejpam-3014	6	58	engineering	engineering	NOUN
ejpam-3014	6	59	problems	problem	NOUN
ejpam-3014	6	60	;	;	PUNCT
ejpam-3014	6	61	(	(	PUNCT
ejpam-3014	6	62	iv	iv	X
ejpam-3014	6	63	)	)	PUNCT
ejpam-3014	6	64	dualities	duality	NOUN
ejpam-3014	6	65	between	between	ADP
ejpam-3014	6	66	reliability	reliability	NOUN
ejpam-3014	6	67	systems	system	NOUN
ejpam-3014	6	68	and	and	CCONJ
ejpam-3014	6	69	electric	electric	ADJ
ejpam-3014	6	70	circuits	circuit	NOUN
ejpam-3014	6	71	.	.	PUNCT
ejpam-3014	7	1	2010	2010	NUM
ejpam-3014	7	2	mathematics	mathematic	NOUN
ejpam-3014	7	3	subject	subject	NOUN
ejpam-3014	7	4	classifications	classification	NOUN
ejpam-3014	7	5	:	:	PUNCT
ejpam-3014	7	6	90b25	90b25	NUM
ejpam-3014	7	7	,	,	PUNCT
ejpam-3014	7	8	90c26	90c26	NUM
ejpam-3014	7	9	,	,	PUNCT
ejpam-3014	7	10	90c46	90c46	NUM
ejpam-3014	7	11	.	.	PUNCT
ejpam-3014	8	1	key	key	ADJ
ejpam-3014	8	2	words	word	NOUN
ejpam-3014	8	3	and	and	CCONJ
ejpam-3014	8	4	phrases	phrase	NOUN
ejpam-3014	8	5	:	:	PUNCT
ejpam-3014	8	6	reliability	reliability	NOUN
ejpam-3014	8	7	allocation	allocation	NOUN
ejpam-3014	8	8	,	,	PUNCT
ejpam-3014	8	9	optimality	optimality	NOUN
ejpam-3014	8	10	conditions	condition	NOUN
ejpam-3014	8	11	,	,	PUNCT
ejpam-3014	8	12	duality	duality	NOUN
ejpam-3014	8	13	,	,	PUNCT
ejpam-3014	8	14	similarities	similaritie	VERB
ejpam-3014	8	15	1	1	NUM
ejpam-3014	8	16	.	.	PUNCT
ejpam-3014	9	1	introduction	introduction	NOUN
ejpam-3014	9	2	redundancy	redundancy	NOUN
ejpam-3014	9	3	is	be	AUX
ejpam-3014	9	4	the	the	DET
ejpam-3014	9	5	provision	provision	NOUN
ejpam-3014	9	6	of	of	ADP
ejpam-3014	9	7	alternative	alternative	ADJ
ejpam-3014	9	8	means	mean	NOUN
ejpam-3014	9	9	or	or	CCONJ
ejpam-3014	9	10	parallel	parallel	ADJ
ejpam-3014	9	11	paths	path	NOUN
ejpam-3014	9	12	in	in	ADP
ejpam-3014	9	13	a	a	DET
ejpam-3014	9	14	system	system	NOUN
ejpam-3014	9	15	for	for	ADP
ejpam-3014	9	16	accomplishing	accomplish	VERB
ejpam-3014	9	17	a	a	DET
ejpam-3014	9	18	given	give	VERB
ejpam-3014	9	19	task	task	NOUN
ejpam-3014	9	20	such	such	ADJ
ejpam-3014	9	21	that	that	SCONJ
ejpam-3014	9	22	all	all	DET
ejpam-3014	9	23	means	mean	NOUN
ejpam-3014	9	24	must	must	AUX
ejpam-3014	9	25	fail	fail	VERB
ejpam-3014	9	26	before	before	ADP
ejpam-3014	9	27	causing	cause	VERB
ejpam-3014	9	28	a	a	DET
ejpam-3014	9	29	system	system	NOUN
ejpam-3014	9	30	failure	failure	NOUN
ejpam-3014	9	31	.	.	PUNCT
ejpam-3014	10	1	system	system	NOUN
ejpam-3014	10	2	reliability	reliability	NOUN
ejpam-3014	10	3	and	and	CCONJ
ejpam-3014	10	4	mean	mean	VERB
ejpam-3014	10	5	life	life	NOUN
ejpam-3014	10	6	can	can	AUX
ejpam-3014	10	7	be	be	AUX
ejpam-3014	10	8	increased	increase	VERB
ejpam-3014	10	9	by	by	ADP
ejpam-3014	10	10	additional	additional	ADJ
ejpam-3014	10	11	means	mean	NOUN
ejpam-3014	10	12	by	by	ADP
ejpam-3014	10	13	applying	apply	VERB
ejpam-3014	10	14	redundancy	redundancy	NOUN
ejpam-3014	10	15	at	at	ADP
ejpam-3014	10	16	various	various	ADJ
ejpam-3014	10	17	levels	level	NOUN
ejpam-3014	10	18	.	.	PUNCT
ejpam-3014	11	1	the	the	DET
ejpam-3014	11	2	problem	problem	NOUN
ejpam-3014	11	3	of	of	ADP
ejpam-3014	11	4	reliability	reliability	NOUN
ejpam-3014	11	5	allocation	allocation	NOUN
ejpam-3014	11	6	and	and	CCONJ
ejpam-3014	11	7	optimization	optimization	NOUN
ejpam-3014	11	8	has	have	AUX
ejpam-3014	11	9	been	be	AUX
ejpam-3014	11	10	widely	widely	ADV
ejpam-3014	11	11	treated	treat	VERB
ejpam-3014	11	12	by	by	ADP
ejpam-3014	11	13	many	many	ADJ
ejpam-3014	11	14	authors	author	NOUN
ejpam-3014	11	15	.	.	PUNCT
ejpam-3014	12	1	although	although	SCONJ
ejpam-3014	12	2	most	most	ADJ
ejpam-3014	12	3	of	of	ADP
ejpam-3014	12	4	the	the	DET
ejpam-3014	12	5	attention	attention	NOUN
ejpam-3014	12	6	to	to	ADP
ejpam-3014	12	7	this	this	DET
ejpam-3014	12	8	issue	issue	NOUN
ejpam-3014	12	9	has	have	AUX
ejpam-3014	12	10	been	be	AUX
ejpam-3014	12	11	given	give	VERB
ejpam-3014	12	12	to	to	ADP
ejpam-3014	12	13	the	the	DET
ejpam-3014	12	14	redundancy	redundancy	NOUN
ejpam-3014	12	15	allocation	allocation	NOUN
ejpam-3014	12	16	problem	problem	NOUN
ejpam-3014	12	17	[	[	X
ejpam-3014	12	18	9],[10	9],[10	X
ejpam-3014	12	19	]	]	X
ejpam-3014	12	20	,	,	PUNCT
ejpam-3014	12	21	a	a	DET
ejpam-3014	12	22	different	different	ADJ
ejpam-3014	12	23	approach	approach	NOUN
ejpam-3014	12	24	to	to	ADP
ejpam-3014	12	25	the	the	DET
ejpam-3014	12	26	problem	problem	NOUN
ejpam-3014	12	27	is	be	AUX
ejpam-3014	12	28	taken	take	VERB
ejpam-3014	12	29	in	in	ADP
ejpam-3014	12	30	this	this	DET
ejpam-3014	12	31	paper	paper	NOUN
ejpam-3014	12	32	.	.	PUNCT
ejpam-3014	13	1	a	a	DET
ejpam-3014	13	2	series	series	NOUN
ejpam-3014	13	3	-	-	PUNCT
ejpam-3014	13	4	parallel	parallel	ADJ
ejpam-3014	13	5	system	system	NOUN
ejpam-3014	13	6	can	can	AUX
ejpam-3014	13	7	be	be	AUX
ejpam-3014	13	8	improved	improve	VERB
ejpam-3014	13	9	by	by	ADP
ejpam-3014	13	10	four	four	NUM
ejpam-3014	13	11	methods	method	NOUN
ejpam-3014	13	12	(	(	PUNCT
ejpam-3014	13	13	wang	wang	PROPN
ejpam-3014	13	14	,	,	PUNCT
ejpam-3014	13	15	1992	1992	NUM
ejpam-3014	13	16	):	):	PUNCT
ejpam-3014	13	17	(	(	PUNCT
ejpam-3014	13	18	1	1	X
ejpam-3014	13	19	)	)	PUNCT
ejpam-3014	13	20	use	use	VERB
ejpam-3014	13	21	more	more	ADV
ejpam-3014	13	22	reliable	reliable	ADJ
ejpam-3014	13	23	components	component	NOUN
ejpam-3014	13	24	;	;	PUNCT
ejpam-3014	13	25	(	(	PUNCT
ejpam-3014	13	26	2	2	X
ejpam-3014	13	27	)	)	PUNCT
ejpam-3014	13	28	increase	increase	VERB
ejpam-3014	13	29	redundant	redundant	ADJ
ejpam-3014	13	30	components	component	NOUN
ejpam-3014	13	31	in	in	ADP
ejpam-3014	13	32	parallel	parallel	NOUN
ejpam-3014	13	33	;	;	PUNCT
ejpam-3014	13	34	(	(	PUNCT
ejpam-3014	13	35	3	3	X
ejpam-3014	13	36	)	)	PUNCT
ejpam-3014	13	37	utilize	utilize	VERB
ejpam-3014	13	38	both	both	DET
ejpam-3014	13	39	(	(	PUNCT
ejpam-3014	13	40	1	1	NUM
ejpam-3014	13	41	)	)	PUNCT
ejpam-3014	13	42	and	and	CCONJ
ejpam-3014	13	43	(	(	PUNCT
ejpam-3014	13	44	2	2	NUM
ejpam-3014	13	45	)	)	PUNCT
ejpam-3014	13	46	;	;	PUNCT
ejpam-3014	13	47	and	and	CCONJ
ejpam-3014	13	48	(	(	PUNCT
ejpam-3014	13	49	4	4	X
ejpam-3014	13	50	)	)	PUNCT
ejpam-3014	13	51	enable	enable	VERB
ejpam-3014	13	52	repeatedly	repeatedly	ADV
ejpam-3014	13	53	the	the	DET
ejpam-3014	13	54	allocation	allocation	NOUN
ejpam-3014	13	55	of	of	ADP
ejpam-3014	13	56	entire	entire	ADJ
ejpam-3014	13	57	system	system	NOUN
ejpam-3014	13	58	framework	framework	NOUN
ejpam-3014	13	59	.	.	PUNCT
ejpam-3014	14	1	prasad	prasad	PROPN
ejpam-3014	14	2	and	and	CCONJ
ejpam-3014	14	3	kuo	kuo	PROPN
ejpam-3014	14	4	(	(	PUNCT
ejpam-3014	14	5	2000	2000	NUM
ejpam-3014	14	6	)	)	PUNCT
ejpam-3014	14	7	pointed	point	VERB
ejpam-3014	14	8	out	out	ADP
ejpam-3014	14	9	that	that	DET
ejpam-3014	14	10	misra	misra	ADJ
ejpam-3014	14	11	algorithm	algorithm	NOUN
ejpam-3014	14	12	sometimes	sometimes	ADV
ejpam-3014	14	13	can	can	AUX
ejpam-3014	14	14	not	not	PART
ejpam-3014	14	15	yield	yield	VERB
ejpam-3014	14	16	an	an	DET
ejpam-3014	14	17	optimal	optimal	ADJ
ejpam-3014	14	18	solution	solution	NOUN
ejpam-3014	14	19	,	,	PUNCT
ejpam-3014	14	20	and	and	CCONJ
ejpam-3014	14	21	suggested	suggest	VERB
ejpam-3014	14	22	a	a	DET
ejpam-3014	14	23	method	method	NOUN
ejpam-3014	14	24	of	of	ADP
ejpam-3014	14	25	searching	search	VERB
ejpam-3014	14	26	for	for	ADP
ejpam-3014	14	27	the	the	DET
ejpam-3014	14	28	upper	upper	ADJ
ejpam-3014	14	29	limit	limit	NOUN
ejpam-3014	14	30	of	of	ADP
ejpam-3014	14	31	reliability	reliability	NOUN
ejpam-3014	14	32	’s	’s	PART
ejpam-3014	14	33	objective	objective	ADJ
ejpam-3014	14	34	function	function	NOUN
ejpam-3014	14	35	.	.	PUNCT
ejpam-3014	15	1	the	the	DET
ejpam-3014	15	2	total	total	ADJ
ejpam-3014	15	3	cost	cost	NOUN
ejpam-3014	15	4	of	of	ADP
ejpam-3014	15	5	a	a	DET
ejpam-3014	15	6	system	system	NOUN
ejpam-3014	15	7	can	can	AUX
ejpam-3014	15	8	be	be	AUX
ejpam-3014	15	9	minimized	minimize	VERB
ejpam-3014	15	10	subject	subject	ADJ
ejpam-3014	15	11	to	to	ADP
ejpam-3014	15	12	the	the	DET
ejpam-3014	15	13	resource	resource	NOUN
ejpam-3014	15	14	constraints	constraint	NOUN
ejpam-3014	15	15	to	to	PART
ejpam-3014	15	16	determine	determine	VERB
ejpam-3014	15	17	the	the	DET
ejpam-3014	15	18	optimum	optimum	ADJ
ejpam-3014	15	19	number	number	NOUN
ejpam-3014	15	20	of	of	ADP
ejpam-3014	15	21	redundant	redundant	ADJ
ejpam-3014	15	22	components	component	NOUN
ejpam-3014	15	23	for	for	ADP
ejpam-3014	15	24	each	each	DET
ejpam-3014	15	25	∗corresponding	∗corresponde	VERB
ejpam-3014	15	26	author	author	NOUN
ejpam-3014	15	27	.	.	PUNCT
ejpam-3014	16	1	email	email	NOUN
ejpam-3014	16	2	addresses	address	NOUN
ejpam-3014	16	3	:	:	PUNCT
ejpam-3014	16	4	saadaaa2013@yahoo.com	saadaaa2013@yahoo.com	X
ejpam-3014	16	5	(	(	PUNCT
ejpam-3014	16	6	s.	s.	PROPN
ejpam-3014	16	7	a.	a.	PROPN
ejpam-3014	16	8	abed	abed	PROPN
ejpam-3014	16	9	)	)	PUNCT
ejpam-3014	16	10	,	,	PUNCT
ejpam-3014	16	11	udriste@mathem.pub.ro	udriste@mathem.pub.ro	X
ejpam-3014	16	12	(	(	PUNCT
ejpam-3014	16	13	c.	c.	NOUN
ejpam-3014	16	14	udriste	udriste	PROPN
ejpam-3014	16	15	)	)	PUNCT
ejpam-3014	16	16	,	,	PUNCT
ejpam-3014	16	17	vasca@yahoo.fr	vasca@yahoo.fr	PROPN
ejpam-3014	16	18	(	(	PUNCT
ejpam-3014	16	19	i.	i.	PROPN
ejpam-3014	16	20	tevy	tevy	PROPN
ejpam-3014	16	21	)	)	PUNCT
ejpam-3014	16	22	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3014	17	1	877	877	NUM
ejpam-3014	17	2	c	c	X
ejpam-3014	17	3	©	©	PROPN
ejpam-3014	17	4	2017	2017	NUM
ejpam-3014	17	5	ejpam	ejpam	NOUN
ejpam-3014	17	6	all	all	DET
ejpam-3014	17	7	rights	right	NOUN
ejpam-3014	17	8	reserved	reserve	VERB
ejpam-3014	17	9	.	.	PUNCT
ejpam-3014	18	1	s.	s.	PROPN
ejpam-3014	18	2	a.	a.	PROPN
ejpam-3014	18	3	abed	abed	PROPN
ejpam-3014	18	4	,	,	PUNCT
ejpam-3014	18	5	c.	c.	PROPN
ejpam-3014	18	6	udriste	udriste	PROPN
ejpam-3014	18	7	,	,	PUNCT
ejpam-3014	18	8	ionel	ionel	NOUN
ejpam-3014	18	9	tevy	tevy	PROPN
ejpam-3014	18	10	/	/	SYM
ejpam-3014	18	11	eur	eur	PROPN
ejpam-3014	18	12	.	.	PUNCT
ejpam-3014	19	1	j.	j.	PROPN
ejpam-3014	19	2	pure	pure	PROPN
ejpam-3014	19	3	appl	appl	PROPN
ejpam-3014	19	4	.	.	PROPN
ejpam-3014	19	5	math	math	PROPN
ejpam-3014	19	6	,	,	PUNCT
ejpam-3014	19	7	10	10	NUM
ejpam-3014	19	8	(	(	PUNCT
ejpam-3014	19	9	4	4	NUM
ejpam-3014	19	10	)	)	PUNCT
ejpam-3014	19	11	(	(	PUNCT
ejpam-3014	19	12	2017	2017	NUM
ejpam-3014	19	13	)	)	PUNCT
ejpam-3014	19	14	,	,	PUNCT
ejpam-3014	19	15	877	877	NUM
ejpam-3014	19	16	-	-	SYM
ejpam-3014	19	17	889	889	NUM
ejpam-3014	19	18	878	878	NUM
ejpam-3014	19	19	stage	stage	NOUN
ejpam-3014	19	20	,	,	PUNCT
ejpam-3014	19	21	when	when	SCONJ
ejpam-3014	19	22	the	the	DET
ejpam-3014	19	23	reliability	reliability	NOUN
ejpam-3014	19	24	of	of	ADP
ejpam-3014	19	25	each	each	DET
ejpam-3014	19	26	component	component	NOUN
ejpam-3014	19	27	is	be	AUX
ejpam-3014	19	28	known	know	VERB
ejpam-3014	19	29	.	.	PUNCT
ejpam-3014	20	1	in	in	ADP
ejpam-3014	20	2	other	other	ADJ
ejpam-3014	20	3	situations	situation	NOUN
ejpam-3014	20	4	,	,	PUNCT
ejpam-3014	20	5	the	the	DET
ejpam-3014	20	6	reliability	reliability	NOUN
ejpam-3014	20	7	of	of	ADP
ejpam-3014	20	8	the	the	DET
ejpam-3014	20	9	system	system	NOUN
ejpam-3014	20	10	can	can	AUX
ejpam-3014	20	11	be	be	AUX
ejpam-3014	20	12	maximized	maximize	VERB
ejpam-3014	20	13	subject	subject	ADJ
ejpam-3014	20	14	to	to	ADP
ejpam-3014	20	15	the	the	DET
ejpam-3014	20	16	resource	resource	NOUN
ejpam-3014	20	17	constraint	constraint	NOUN
ejpam-3014	20	18	to	to	PART
ejpam-3014	20	19	determine	determine	VERB
ejpam-3014	20	20	the	the	DET
ejpam-3014	20	21	reliability	reliability	NOUN
ejpam-3014	20	22	of	of	ADP
ejpam-3014	20	23	the	the	DET
ejpam-3014	20	24	components	component	NOUN
ejpam-3014	20	25	in	in	ADP
ejpam-3014	20	26	the	the	DET
ejpam-3014	20	27	system	system	NOUN
ejpam-3014	20	28	when	when	SCONJ
ejpam-3014	20	29	the	the	DET
ejpam-3014	20	30	number	number	NOUN
ejpam-3014	20	31	of	of	ADP
ejpam-3014	20	32	redundant	redundant	ADJ
ejpam-3014	20	33	units	unit	NOUN
ejpam-3014	20	34	in	in	ADP
ejpam-3014	20	35	each	each	DET
ejpam-3014	20	36	stage	stage	NOUN
ejpam-3014	20	37	is	be	AUX
ejpam-3014	20	38	known	know	VERB
ejpam-3014	20	39	.	.	PUNCT
ejpam-3014	21	1	as	as	ADP
ejpam-3014	21	2	a	a	DET
ejpam-3014	21	3	result	result	NOUN
ejpam-3014	21	4	,	,	PUNCT
ejpam-3014	21	5	addition	addition	NOUN
ejpam-3014	21	6	of	of	ADP
ejpam-3014	21	7	redundant	redundant	ADJ
ejpam-3014	21	8	components	component	NOUN
ejpam-3014	21	9	or	or	CCONJ
ejpam-3014	21	10	increase	increase	VERB
ejpam-3014	21	11	components	component	NOUN
ejpam-3014	21	12	reliability	reliability	NOUN
ejpam-3014	21	13	leads	lead	VERB
ejpam-3014	21	14	to	to	ADP
ejpam-3014	21	15	the	the	DET
ejpam-3014	21	16	increase	increase	NOUN
ejpam-3014	21	17	of	of	ADP
ejpam-3014	21	18	the	the	DET
ejpam-3014	21	19	system	system	NOUN
ejpam-3014	21	20	reliability	reliability	NOUN
ejpam-3014	21	21	.	.	PUNCT
ejpam-3014	22	1	the	the	DET
ejpam-3014	22	2	main	main	ADJ
ejpam-3014	22	3	objective	objective	NOUN
ejpam-3014	22	4	of	of	ADP
ejpam-3014	22	5	the	the	DET
ejpam-3014	22	6	reliability	reliability	NOUN
ejpam-3014	22	7	optimization	optimization	NOUN
ejpam-3014	22	8	is	be	AUX
ejpam-3014	22	9	maximizing	maximize	VERB
ejpam-3014	22	10	the	the	DET
ejpam-3014	22	11	reliability	reliability	NOUN
ejpam-3014	22	12	cost	cost	NOUN
ejpam-3014	22	13	ratio	ratio	NOUN
ejpam-3014	22	14	,	,	PUNCT
ejpam-3014	22	15	developing	develop	VERB
ejpam-3014	22	16	,	,	PUNCT
ejpam-3014	22	17	mostly	mostly	ADV
ejpam-3014	22	18	,	,	PUNCT
ejpam-3014	22	19	two	two	NUM
ejpam-3014	22	20	directions	direction	NOUN
ejpam-3014	22	21	,	,	PUNCT
ejpam-3014	22	22	as	as	SCONJ
ejpam-3014	22	23	follows	follow	VERB
ejpam-3014	22	24	:	:	PUNCT
ejpam-3014	22	25	(	(	PUNCT
ejpam-3014	22	26	1	1	X
ejpam-3014	22	27	)	)	PUNCT
ejpam-3014	22	28	minimizing	minimize	VERB
ejpam-3014	22	29	the	the	DET
ejpam-3014	22	30	system	system	NOUN
ejpam-3014	22	31	cost	cost	NOUN
ejpam-3014	22	32	,	,	PUNCT
ejpam-3014	22	33	but	but	CCONJ
ejpam-3014	22	34	insuring	insure	VERB
ejpam-3014	22	35	a	a	DET
ejpam-3014	22	36	minimal	minimal	ADJ
ejpam-3014	22	37	reliability	reliability	NOUN
ejpam-3014	22	38	level	level	NOUN
ejpam-3014	22	39	;	;	PUNCT
ejpam-3014	22	40	(	(	PUNCT
ejpam-3014	22	41	2	2	X
ejpam-3014	22	42	)	)	PUNCT
ejpam-3014	22	43	maximizing	maximize	VERB
ejpam-3014	22	44	the	the	DET
ejpam-3014	22	45	system	system	NOUN
ejpam-3014	22	46	reliability	reliability	NOUN
ejpam-3014	22	47	with	with	ADP
ejpam-3014	22	48	respect	respect	NOUN
ejpam-3014	22	49	of	of	ADP
ejpam-3014	22	50	some	some	DET
ejpam-3014	22	51	costs	cost	NOUN
ejpam-3014	22	52	constraints	constraint	NOUN
ejpam-3014	22	53	.	.	PUNCT
ejpam-3014	23	1	the	the	DET
ejpam-3014	23	2	redundancy	redundancy	NOUN
ejpam-3014	23	3	allocation	allocation	NOUN
ejpam-3014	23	4	problem	problem	NOUN
ejpam-3014	23	5	has	have	AUX
ejpam-3014	23	6	previously	previously	ADV
ejpam-3014	23	7	been	be	AUX
ejpam-3014	23	8	analyzed	analyze	VERB
ejpam-3014	23	9	for	for	ADP
ejpam-3014	23	10	many	many	ADJ
ejpam-3014	23	11	different	different	ADJ
ejpam-3014	23	12	system	system	NOUN
ejpam-3014	23	13	structures	structure	NOUN
ejpam-3014	23	14	,	,	PUNCT
ejpam-3014	23	15	objective	objective	ADJ
ejpam-3014	23	16	functions	function	NOUN
ejpam-3014	23	17	and	and	CCONJ
ejpam-3014	23	18	time	time	NOUN
ejpam-3014	23	19	-	-	PUNCT
ejpam-3014	23	20	to	to	ADP
ejpam-3014	23	21	-	-	PUNCT
ejpam-3014	23	22	failure	failure	NOUN
ejpam-3014	23	23	distributions	distribution	NOUN
ejpam-3014	23	24	.	.	PUNCT
ejpam-3014	24	1	generally	generally	ADV
ejpam-3014	24	2	,	,	PUNCT
ejpam-3014	24	3	the	the	DET
ejpam-3014	24	4	problem	problem	NOUN
ejpam-3014	24	5	domain	domain	NOUN
ejpam-3014	24	6	has	have	AUX
ejpam-3014	24	7	been	be	AUX
ejpam-3014	24	8	limited	limit	VERB
ejpam-3014	24	9	to	to	ADP
ejpam-3014	24	10	series	series	NOUN
ejpam-3014	24	11	-	-	PUNCT
ejpam-3014	24	12	parallel	parallel	ADJ
ejpam-3014	24	13	systems	system	NOUN
ejpam-3014	24	14	with	with	ADP
ejpam-3014	24	15	active	active	ADJ
ejpam-3014	24	16	redundancy	redundancy	NOUN
ejpam-3014	24	17	or	or	CCONJ
ejpam-3014	24	18	’	'	PUNCT
ejpam-3014	24	19	kout	kout	NOUN
ejpam-3014	24	20	-	-	PUNCT
ejpam-3014	24	21	of	of	ADP
ejpam-3014	24	22	-	-	PUNCT
ejpam-3014	24	23	n	n	CCONJ
ejpam-3014	24	24	’	'	PUNCT
ejpam-3014	24	25	systems	system	NOUN
ejpam-3014	24	26	consisting	consist	VERB
ejpam-3014	24	27	of	of	ADP
ejpam-3014	24	28	a	a	DET
ejpam-3014	24	29	single	single	ADJ
ejpam-3014	24	30	subsystem	subsystem	NOUN
ejpam-3014	24	31	.	.	PUNCT
ejpam-3014	25	1	a	a	DET
ejpam-3014	25	2	number	number	NOUN
ejpam-3014	25	3	of	of	ADP
ejpam-3014	25	4	studies	study	NOUN
ejpam-3014	25	5	have	have	AUX
ejpam-3014	25	6	examined	examine	VERB
ejpam-3014	25	7	such	such	ADJ
ejpam-3014	25	8	problems	problem	NOUN
ejpam-3014	25	9	[	[	X
ejpam-3014	25	10	1	1	NUM
ejpam-3014	25	11	]	]	PUNCT
ejpam-3014	25	12	,	,	PUNCT
ejpam-3014	25	13	[	[	X
ejpam-3014	25	14	4	4	NUM
ejpam-3014	25	15	]	]	PUNCT
ejpam-3014	25	16	.	.	PUNCT
ejpam-3014	26	1	the	the	DET
ejpam-3014	26	2	parameters	parameter	NOUN
ejpam-3014	26	3	of	of	ADP
ejpam-3014	26	4	the	the	DET
ejpam-3014	26	5	proposed	propose	VERB
ejpam-3014	26	6	cost	cost	NOUN
ejpam-3014	26	7	function	function	NOUN
ejpam-3014	26	8	can	can	AUX
ejpam-3014	26	9	be	be	AUX
ejpam-3014	26	10	altered	alter	VERB
ejpam-3014	26	11	,	,	PUNCT
ejpam-3014	26	12	allowing	allow	VERB
ejpam-3014	26	13	the	the	DET
ejpam-3014	26	14	mathematicians	mathematician	NOUN
ejpam-3014	26	15	/	/	SYM
ejpam-3014	26	16	engineers	engineer	NOUN
ejpam-3014	26	17	to	to	PART
ejpam-3014	26	18	investigate	investigate	VERB
ejpam-3014	26	19	different	different	ADJ
ejpam-3014	26	20	allocation	allocation	NOUN
ejpam-3014	26	21	scenarios	scenario	NOUN
ejpam-3014	26	22	.	.	PUNCT
ejpam-3014	27	1	thereafter	thereafter	ADV
ejpam-3014	27	2	,	,	PUNCT
ejpam-3014	27	3	designers	designer	NOUN
ejpam-3014	27	4	can	can	AUX
ejpam-3014	27	5	decide	decide	VERB
ejpam-3014	27	6	and	and	CCONJ
ejpam-3014	27	7	plan	plan	VERB
ejpam-3014	27	8	on	on	ADP
ejpam-3014	27	9	how	how	SCONJ
ejpam-3014	27	10	to	to	PART
ejpam-3014	27	11	achieve	achieve	VERB
ejpam-3014	27	12	the	the	DET
ejpam-3014	27	13	assigned	assign	VERB
ejpam-3014	27	14	minimum	minimum	NOUN
ejpam-3014	27	15	required	require	VERB
ejpam-3014	27	16	reliabilities	reliability	NOUN
ejpam-3014	27	17	for	for	ADP
ejpam-3014	27	18	each	each	PRON
ejpam-3014	27	19	of	of	ADP
ejpam-3014	27	20	the	the	DET
ejpam-3014	27	21	components	component	NOUN
ejpam-3014	27	22	.	.	PUNCT
ejpam-3014	28	1	2	2	X
ejpam-3014	28	2	.	.	X
ejpam-3014	28	3	optimization	optimization	NOUN
ejpam-3014	28	4	of	of	ADP
ejpam-3014	28	5	series	series	NOUN
ejpam-3014	28	6	-	-	PUNCT
ejpam-3014	28	7	parallel	parallel	ADJ
ejpam-3014	28	8	system	system	NOUN
ejpam-3014	28	9	until	until	ADP
ejpam-3014	28	10	recently	recently	ADV
ejpam-3014	28	11	,	,	PUNCT
ejpam-3014	28	12	for	for	ADP
ejpam-3014	28	13	the	the	DET
ejpam-3014	28	14	purpose	purpose	NOUN
ejpam-3014	28	15	of	of	ADP
ejpam-3014	28	16	modelling	model	VERB
ejpam-3014	28	17	equilibrium	equilibrium	NOUN
ejpam-3014	28	18	flow	flow	NOUN
ejpam-3014	28	19	reliability	reliability	NOUN
ejpam-3014	28	20	systems	system	NOUN
ejpam-3014	28	21	,	,	PUNCT
ejpam-3014	28	22	it	it	PRON
ejpam-3014	28	23	has	have	AUX
ejpam-3014	28	24	often	often	ADV
ejpam-3014	28	25	been	be	AUX
ejpam-3014	28	26	assumed	assume	VERB
ejpam-3014	28	27	that	that	SCONJ
ejpam-3014	28	28	all	all	DET
ejpam-3014	28	29	the	the	DET
ejpam-3014	28	30	particular	particular	ADJ
ejpam-3014	28	31	cases	case	NOUN
ejpam-3014	28	32	must	must	AUX
ejpam-3014	28	33	be	be	AUX
ejpam-3014	28	34	solved	solve	VERB
ejpam-3014	28	35	separately	separately	ADV
ejpam-3014	28	36	.	.	PUNCT
ejpam-3014	29	1	now	now	ADV
ejpam-3014	29	2	we	we	PRON
ejpam-3014	29	3	underline	underline	VERB
ejpam-3014	29	4	that	that	SCONJ
ejpam-3014	29	5	there	there	PRON
ejpam-3014	29	6	are	be	VERB
ejpam-3014	29	7	inter	inter	ADJ
ejpam-3014	29	8	-	-	ADJ
ejpam-3014	29	9	related	relate	VERB
ejpam-3014	29	10	systems	system	NOUN
ejpam-3014	29	11	governed	govern	VERB
ejpam-3014	29	12	by	by	ADP
ejpam-3014	29	13	a	a	DET
ejpam-3014	29	14	unique	unique	ADJ
ejpam-3014	29	15	set	set	NOUN
ejpam-3014	29	16	of	of	ADP
ejpam-3014	29	17	equilibrium	equilibrium	NOUN
ejpam-3014	29	18	criteria	criterion	NOUN
ejpam-3014	29	19	.	.	PUNCT
ejpam-3014	30	1	hypothesis	hypothesis	NOUN
ejpam-3014	30	2	:	:	PUNCT
ejpam-3014	30	3	components	component	NOUN
ejpam-3014	30	4	have	have	VERB
ejpam-3014	30	5	two	two	NUM
ejpam-3014	30	6	states	state	NOUN
ejpam-3014	30	7	:	:	PUNCT
ejpam-3014	30	8	working	work	VERB
ejpam-3014	30	9	or	or	CCONJ
ejpam-3014	30	10	failed	fail	VERB
ejpam-3014	30	11	;	;	PUNCT
ejpam-3014	30	12	the	the	DET
ejpam-3014	30	13	reliability	reliability	NOUN
ejpam-3014	30	14	of	of	ADP
ejpam-3014	30	15	each	each	DET
ejpam-3014	30	16	component	component	NOUN
ejpam-3014	30	17	is	be	AUX
ejpam-3014	30	18	known	know	VERB
ejpam-3014	30	19	and	and	CCONJ
ejpam-3014	30	20	is	be	AUX
ejpam-3014	30	21	deterministic	deterministic	ADJ
ejpam-3014	30	22	;	;	PUNCT
ejpam-3014	30	23	failure	failure	NOUN
ejpam-3014	30	24	of	of	ADP
ejpam-3014	30	25	individual	individual	ADJ
ejpam-3014	30	26	components	component	NOUN
ejpam-3014	30	27	are	be	AUX
ejpam-3014	30	28	independent	independent	ADJ
ejpam-3014	30	29	;	;	PUNCT
ejpam-3014	30	30	failed	fail	VERB
ejpam-3014	30	31	components	component	NOUN
ejpam-3014	30	32	do	do	AUX
ejpam-3014	30	33	not	not	PART
ejpam-3014	30	34	damage	damage	VERB
ejpam-3014	30	35	other	other	ADJ
ejpam-3014	30	36	components	component	NOUN
ejpam-3014	30	37	or	or	CCONJ
ejpam-3014	30	38	the	the	DET
ejpam-3014	30	39	system	system	NOUN
ejpam-3014	30	40	,	,	PUNCT
ejpam-3014	30	41	and	and	CCONJ
ejpam-3014	30	42	the	the	DET
ejpam-3014	30	43	components	component	NOUN
ejpam-3014	30	44	are	be	AUX
ejpam-3014	30	45	not	not	PART
ejpam-3014	30	46	repaired	repair	VERB
ejpam-3014	30	47	.	.	PUNCT
ejpam-3014	31	1	the	the	DET
ejpam-3014	31	2	theory	theory	NOUN
ejpam-3014	31	3	in	in	ADP
ejpam-3014	31	4	this	this	DET
ejpam-3014	31	5	section	section	NOUN
ejpam-3014	31	6	can	can	AUX
ejpam-3014	31	7	be	be	AUX
ejpam-3014	31	8	applied	apply	VERB
ejpam-3014	31	9	to	to	ADP
ejpam-3014	31	10	any	any	DET
ejpam-3014	31	11	simple	simple	ADJ
ejpam-3014	31	12	or	or	CCONJ
ejpam-3014	31	13	complex	complex	ADJ
ejpam-3014	31	14	systems	system	NOUN
ejpam-3014	31	15	,	,	PUNCT
ejpam-3014	31	16	and	and	CCONJ
ejpam-3014	31	17	any	any	DET
ejpam-3014	31	18	number	number	NOUN
ejpam-3014	31	19	of	of	ADP
ejpam-3014	31	20	redundant	redundant	ADJ
ejpam-3014	31	21	components	component	NOUN
ejpam-3014	31	22	can	can	AUX
ejpam-3014	31	23	be	be	AUX
ejpam-3014	31	24	added	add	VERB
ejpam-3014	31	25	to	to	ADP
ejpam-3014	31	26	the	the	DET
ejpam-3014	31	27	system	system	NOUN
ejpam-3014	31	28	to	to	PART
ejpam-3014	31	29	have	have	VERB
ejpam-3014	31	30	maximum	maximum	ADJ
ejpam-3014	31	31	possible	possible	ADJ
ejpam-3014	31	32	improvement	improvement	NOUN
ejpam-3014	31	33	.	.	PUNCT
ejpam-3014	32	1	2.1	2.1	NUM
ejpam-3014	32	2	.	.	PUNCT
ejpam-3014	33	1	from	from	ADP
ejpam-3014	33	2	”	"	PUNCT
ejpam-3014	33	3	series	series	NOUN
ejpam-3014	33	4	-	-	PUNCT
ejpam-3014	33	5	parallel	parallel	ADJ
ejpam-3014	33	6	system	system	NOUN
ejpam-3014	33	7	”	"	PUNCT
ejpam-3014	33	8	to	to	ADP
ejpam-3014	33	9	”	"	PUNCT
ejpam-3014	33	10	series	series	NOUN
ejpam-3014	33	11	system	system	NOUN
ejpam-3014	33	12	”	"	PUNCT
ejpam-3014	33	13	to	to	ADP
ejpam-3014	33	14	a	a	DET
ejpam-3014	33	15	series	series	NOUN
ejpam-3014	33	16	system	system	NOUN
ejpam-3014	33	17	of	of	ADP
ejpam-3014	33	18	n	n	DET
ejpam-3014	33	19	components	component	NOUN
ejpam-3014	33	20	characterized	characterize	VERB
ejpam-3014	33	21	by	by	ADP
ejpam-3014	33	22	reliabilities	reliability	NOUN
ejpam-3014	33	23	0	0	NUM
ejpam-3014	33	24	≤	≤	NUM
ejpam-3014	33	25	ri	ri	X
ejpam-3014	33	26	≤	≤	ADV
ejpam-3014	33	27	1	1	NUM
ejpam-3014	33	28	,	,	PUNCT
ejpam-3014	33	29	i	i	PRON
ejpam-3014	33	30	=	=	NOUN
ejpam-3014	33	31	1	1	NUM
ejpam-3014	33	32	,	,	PUNCT
ejpam-3014	33	33	...	...	PUNCT
ejpam-3014	33	34	,	,	PUNCT
ejpam-3014	33	35	n	n	CCONJ
ejpam-3014	33	36	,	,	PUNCT
ejpam-3014	33	37	and	and	CCONJ
ejpam-3014	33	38	by	by	ADP
ejpam-3014	33	39	the	the	DET
ejpam-3014	33	40	admissible	admissible	ADJ
ejpam-3014	33	41	level	level	NOUN
ejpam-3014	33	42	of	of	ADP
ejpam-3014	33	43	reliability	reliability	NOUN
ejpam-3014	33	44	of	of	ADP
ejpam-3014	33	45	the	the	DET
ejpam-3014	33	46	whole	whole	ADJ
ejpam-3014	33	47	system	system	NOUN
ejpam-3014	33	48	rg	rg	VERB
ejpam-3014	33	49	,	,	PUNCT
ejpam-3014	33	50	we	we	PRON
ejpam-3014	33	51	associate	associate	VERB
ejpam-3014	33	52	the	the	DET
ejpam-3014	33	53	program	program	NOUN
ejpam-3014	33	54	p	p	X
ejpam-3014	33	55	:	:	PUNCT
ejpam-3014	33	56	find	find	VERB
ejpam-3014	33	57	min	min	NOUN
ejpam-3014	33	58	r	r	NOUN
ejpam-3014	33	59	c(r1	c(r1	NOUN
ejpam-3014	33	60	,	,	PUNCT
ejpam-3014	33	61	...	...	PUNCT
ejpam-3014	33	62	,	,	PUNCT
ejpam-3014	33	63	rn	rn	PROPN
ejpam-3014	33	64	)	)	PUNCT
ejpam-3014	33	65	subject	subject	NOUN
ejpam-3014	33	66	to	to	ADP
ejpam-3014	33	67	rs	rs	NOUN
ejpam-3014	33	68	=	=	PROPN
ejpam-3014	33	69	n∏	n∏	PROPN
ejpam-3014	33	70	i=1	i=1	PROPN
ejpam-3014	33	71	ri	ri	PROPN
ejpam-3014	33	72	≥	≥	NUM
ejpam-3014	33	73	rg	rg	PROPN
ejpam-3014	33	74	,	,	PUNCT
ejpam-3014	33	75	0	0	PUNCT
ejpam-3014	33	76	<	<	X
ejpam-3014	33	77	ri	ri	PROPN
ejpam-3014	33	78	≤	≤	ADV
ejpam-3014	33	79	1	1	NUM
ejpam-3014	33	80	,	,	PUNCT
ejpam-3014	33	81	i	i	PRON
ejpam-3014	33	82	=	=	NOUN
ejpam-3014	33	83	1	1	NUM
ejpam-3014	33	84	,	,	PUNCT
ejpam-3014	33	85	2	2	NUM
ejpam-3014	33	86	,	,	PUNCT
ejpam-3014	33	87	...	...	PUNCT
ejpam-3014	33	88	,	,	PUNCT
ejpam-3014	33	89	n.	n.	PROPN
ejpam-3014	33	90	s.	s.	PROPN
ejpam-3014	33	91	a.	a.	PROPN
ejpam-3014	33	92	abed	abed	PROPN
ejpam-3014	33	93	,	,	PUNCT
ejpam-3014	33	94	c.	c.	PROPN
ejpam-3014	33	95	udriste	udriste	PROPN
ejpam-3014	33	96	,	,	PUNCT
ejpam-3014	33	97	ionel	ionel	NOUN
ejpam-3014	33	98	tevy	tevy	PROPN
ejpam-3014	33	99	/	/	SYM
ejpam-3014	33	100	eur	eur	PROPN
ejpam-3014	33	101	.	.	PUNCT
ejpam-3014	34	1	j.	j.	PROPN
ejpam-3014	34	2	pure	pure	PROPN
ejpam-3014	34	3	appl	appl	PROPN
ejpam-3014	34	4	.	.	PROPN
ejpam-3014	34	5	math	math	PROPN
ejpam-3014	34	6	,	,	PUNCT
ejpam-3014	34	7	10	10	NUM
ejpam-3014	34	8	(	(	PUNCT
ejpam-3014	34	9	4	4	NUM
ejpam-3014	34	10	)	)	PUNCT
ejpam-3014	34	11	(	(	PUNCT
ejpam-3014	34	12	2017	2017	NUM
ejpam-3014	34	13	)	)	PUNCT
ejpam-3014	34	14	,	,	PUNCT
ejpam-3014	34	15	877	877	NUM
ejpam-3014	34	16	-	-	SYM
ejpam-3014	34	17	889	889	NUM
ejpam-3014	34	18	879	879	NUM
ejpam-3014	34	19	such	such	ADJ
ejpam-3014	34	20	kinds	kind	NOUN
ejpam-3014	34	21	of	of	ADP
ejpam-3014	34	22	programs	program	NOUN
ejpam-3014	34	23	were	be	AUX
ejpam-3014	34	24	studied	study	VERB
ejpam-3014	34	25	and	and	CCONJ
ejpam-3014	34	26	solved	solve	VERB
ejpam-3014	34	27	in	in	ADP
ejpam-3014	34	28	[	[	X
ejpam-3014	34	29	14	14	NUM
ejpam-3014	34	30	]	]	PUNCT
ejpam-3014	34	31	and	and	CCONJ
ejpam-3014	34	32	[	[	X
ejpam-3014	34	33	15	15	NUM
ejpam-3014	34	34	]	]	PUNCT
ejpam-3014	34	35	.	.	PUNCT
ejpam-3014	35	1	in	in	ADP
ejpam-3014	35	2	order	order	NOUN
ejpam-3014	35	3	to	to	PART
ejpam-3014	35	4	formulate	formulate	VERB
ejpam-3014	35	5	an	an	DET
ejpam-3014	35	6	optimal	optimal	ADJ
ejpam-3014	35	7	problem	problem	NOUN
ejpam-3014	35	8	associated	associate	VERB
ejpam-3014	35	9	to	to	ADP
ejpam-3014	35	10	a	a	DET
ejpam-3014	35	11	series	series	NOUN
ejpam-3014	35	12	-	-	PUNCT
ejpam-3014	35	13	parallel	parallel	ADJ
ejpam-3014	35	14	system	system	NOUN
ejpam-3014	35	15	,	,	PUNCT
ejpam-3014	35	16	we	we	PRON
ejpam-3014	35	17	need	need	VERB
ejpam-3014	35	18	additional	additional	ADJ
ejpam-3014	35	19	notations	notation	NOUN
ejpam-3014	35	20	:	:	PUNCT
ejpam-3014	35	21	n	n	DET
ejpam-3014	35	22	number	number	NOUN
ejpam-3014	35	23	of	of	ADP
ejpam-3014	35	24	subsystems	subsystem	NOUN
ejpam-3014	35	25	;	;	PUNCT
ejpam-3014	35	26	ki	ki	PROPN
ejpam-3014	35	27	number	number	NOUN
ejpam-3014	35	28	of	of	ADP
ejpam-3014	35	29	different	different	ADJ
ejpam-3014	35	30	types	type	NOUN
ejpam-3014	35	31	of	of	ADP
ejpam-3014	35	32	available	available	ADJ
ejpam-3014	35	33	components	component	NOUN
ejpam-3014	35	34	for	for	ADP
ejpam-3014	35	35	the	the	DET
ejpam-3014	35	36	i	i	PROPN
ejpam-3014	35	37	-	-	PUNCT
ejpam-3014	35	38	th	th	NOUN
ejpam-3014	35	39	subsystem	subsystem	NOUN
ejpam-3014	35	40	,	,	PUNCT
ejpam-3014	35	41	i	i	PRON
ejpam-3014	35	42	=	=	NOUN
ejpam-3014	35	43	1	1	NUM
ejpam-3014	35	44	,	,	PUNCT
ejpam-3014	35	45	...	...	PUNCT
ejpam-3014	35	46	,	,	PUNCT
ejpam-3014	35	47	n	n	CCONJ
ejpam-3014	35	48	;	;	PUNCT
ejpam-3014	35	49	0	0	NUM
ejpam-3014	35	50	≤	≤	NUM
ejpam-3014	35	51	rij	rij	ADJ
ejpam-3014	35	52	≤	≤	ADV
ejpam-3014	35	53	1	1	NUM
ejpam-3014	35	54	reliability	reliability	NOUN
ejpam-3014	35	55	of	of	ADP
ejpam-3014	35	56	the	the	DET
ejpam-3014	35	57	j	j	PROPN
ejpam-3014	35	58	-	-	PUNCT
ejpam-3014	35	59	th	th	VERB
ejpam-3014	35	60	component	component	NOUN
ejpam-3014	35	61	for	for	ADP
ejpam-3014	35	62	the	the	DET
ejpam-3014	35	63	i	i	PROPN
ejpam-3014	35	64	-	-	PUNCT
ejpam-3014	35	65	th	th	NOUN
ejpam-3014	35	66	subsystem	subsystem	NOUN
ejpam-3014	35	67	,	,	PUNCT
ejpam-3014	35	68	i	i	PRON
ejpam-3014	35	69	=	=	NOUN
ejpam-3014	35	70	1	1	NUM
ejpam-3014	35	71	,	,	PUNCT
ejpam-3014	35	72	...	...	PUNCT
ejpam-3014	35	73	,	,	PUNCT
ejpam-3014	35	74	n	n	CCONJ
ejpam-3014	35	75	,	,	PUNCT
ejpam-3014	35	76	j	j	PROPN
ejpam-3014	35	77	=	=	SYM
ejpam-3014	35	78	1	1	NUM
ejpam-3014	35	79	,	,	PUNCT
ejpam-3014	35	80	...	...	PUNCT
ejpam-3014	35	81	,	,	PUNCT
ejpam-3014	35	82	ki	ki	PROPN
ejpam-3014	35	83	;	;	PUNCT
ejpam-3014	35	84	rg	rg	PRON
ejpam-3014	35	85	admissible	admissible	ADJ
ejpam-3014	35	86	level	level	NOUN
ejpam-3014	35	87	of	of	ADP
ejpam-3014	35	88	reliability	reliability	NOUN
ejpam-3014	35	89	of	of	ADP
ejpam-3014	35	90	the	the	DET
ejpam-3014	35	91	whole	whole	ADJ
ejpam-3014	35	92	system	system	NOUN
ejpam-3014	35	93	;	;	PUNCT
ejpam-3014	35	94	xij	xij	PROPN
ejpam-3014	35	95	∈	∈	PROPN
ejpam-3014	35	96	n	n	DET
ejpam-3014	35	97	number	number	NOUN
ejpam-3014	35	98	of	of	ADP
ejpam-3014	35	99	j	j	PROPN
ejpam-3014	35	100	components	component	NOUN
ejpam-3014	35	101	used	use	VERB
ejpam-3014	35	102	in	in	ADP
ejpam-3014	35	103	the	the	DET
ejpam-3014	35	104	i	i	PROPN
ejpam-3014	35	105	-	-	PUNCT
ejpam-3014	35	106	th	th	NOUN
ejpam-3014	35	107	subsystem	subsystem	NOUN
ejpam-3014	35	108	,	,	PUNCT
ejpam-3014	35	109	i	i	PRON
ejpam-3014	35	110	=	=	NOUN
ejpam-3014	35	111	1	1	NUM
ejpam-3014	35	112	,	,	PUNCT
ejpam-3014	35	113	...	...	PUNCT
ejpam-3014	35	114	,	,	PUNCT
ejpam-3014	35	115	n	n	CCONJ
ejpam-3014	35	116	,	,	PUNCT
ejpam-3014	35	117	j	j	PROPN
ejpam-3014	35	118	=	=	SYM
ejpam-3014	35	119	1	1	NUM
ejpam-3014	35	120	,	,	PUNCT
ejpam-3014	35	121	...	...	PUNCT
ejpam-3014	35	122	,	,	PUNCT
ejpam-3014	35	123	ki	ki	PROPN
ejpam-3014	35	124	.	.	PUNCT
ejpam-3014	35	125	double	double	ADJ
ejpam-3014	35	126	-	-	PUNCT
ejpam-3014	35	127	indexed	index	VERB
ejpam-3014	35	128	numbers	number	NOUN
ejpam-3014	35	129	do	do	AUX
ejpam-3014	35	130	not	not	PART
ejpam-3014	35	131	form	form	VERB
ejpam-3014	35	132	matrices	matrix	NOUN
ejpam-3014	35	133	as	as	ADP
ejpam-3014	35	134	”	"	PUNCT
ejpam-3014	35	135	lines	line	NOUN
ejpam-3014	35	136	”	"	PUNCT
ejpam-3014	35	137	would	would	AUX
ejpam-3014	35	138	not	not	PART
ejpam-3014	35	139	have	have	VERB
ejpam-3014	35	140	the	the	DET
ejpam-3014	35	141	same	same	ADJ
ejpam-3014	35	142	number	number	NOUN
ejpam-3014	35	143	of	of	ADP
ejpam-3014	35	144	elements	element	NOUN
ejpam-3014	35	145	;	;	PUNCT
ejpam-3014	35	146	they	they	PRON
ejpam-3014	35	147	will	will	AUX
ejpam-3014	35	148	be	be	AUX
ejpam-3014	35	149	arranged	arrange	VERB
ejpam-3014	35	150	like	like	ADP
ejpam-3014	35	151	vectors	vector	NOUN
ejpam-3014	35	152	.	.	PUNCT
ejpam-3014	36	1	the	the	DET
ejpam-3014	36	2	associated	associated	ADJ
ejpam-3014	36	3	program	program	NOUN
ejpam-3014	36	4	is	be	AUX
ejpam-3014	36	5	p	p	X
ejpam-3014	36	6	:	:	PUNCT
ejpam-3014	36	7	find	find	VERB
ejpam-3014	36	8	min	min	NOUN
ejpam-3014	36	9	r	r	NOUN
ejpam-3014	36	10	c(r11	c(r11	NOUN
ejpam-3014	36	11	,	,	PUNCT
ejpam-3014	36	12	...	...	PUNCT
ejpam-3014	36	13	,	,	PUNCT
ejpam-3014	36	14	r1k1	r1k1	INTJ
ejpam-3014	36	15	,	,	PUNCT
ejpam-3014	36	16	...	...	PUNCT
ejpam-3014	36	17	,	,	PUNCT
ejpam-3014	36	18	rn1	rn1	PROPN
ejpam-3014	36	19	,	,	PUNCT
ejpam-3014	36	20	...	...	PUNCT
ejpam-3014	36	21	,	,	PUNCT
ejpam-3014	36	22	rnkn	rnkn	PROPN
ejpam-3014	36	23	)	)	PUNCT
ejpam-3014	36	24	,	,	PUNCT
ejpam-3014	36	25	r	r	NOUN
ejpam-3014	36	26	=	=	SYM
ejpam-3014	36	27	(	(	PUNCT
ejpam-3014	36	28	r11	r11	NOUN
ejpam-3014	36	29	,	,	PUNCT
ejpam-3014	36	30	...	...	PUNCT
ejpam-3014	36	31	,	,	PUNCT
ejpam-3014	36	32	r1k1	r1k1	INTJ
ejpam-3014	36	33	,	,	PUNCT
ejpam-3014	36	34	...	...	PUNCT
ejpam-3014	36	35	,	,	PUNCT
ejpam-3014	36	36	rn1	rn1	PROPN
ejpam-3014	36	37	,	,	PUNCT
ejpam-3014	36	38	...	...	PUNCT
ejpam-3014	36	39	,	,	PUNCT
ejpam-3014	36	40	rnkn	rnkn	PROPN
ejpam-3014	36	41	)	)	PUNCT
ejpam-3014	36	42	,	,	PUNCT
ejpam-3014	36	43	subject	subject	ADJ
ejpam-3014	36	44	to	to	ADP
ejpam-3014	36	45	rs	rs	NOUN
ejpam-3014	36	46	=	=	PROPN
ejpam-3014	36	47	n∏	n∏	PROPN
ejpam-3014	36	48	i=1	i=1	PROPN
ejpam-3014	36	49	ri	ri	PROPN
ejpam-3014	37	1	=	=	PROPN
ejpam-3014	37	2	n∏	n∏	PROPN
ejpam-3014	37	3	i=1	i=1	X
ejpam-3014	38	1	[	[	PUNCT
ejpam-3014	38	2	1−	1−	NUM
ejpam-3014	38	3	ki∏	ki∏	PROPN
ejpam-3014	38	4	j=1	j=1	X
ejpam-3014	38	5	(	(	PUNCT
ejpam-3014	38	6	1−	1−	NUM
ejpam-3014	38	7	rij)xij	rij)xij	PROPN
ejpam-3014	38	8	]	]	PUNCT
ejpam-3014	38	9	≥	≥	X
ejpam-3014	38	10	rg	rg	INTJ
ejpam-3014	38	11	,	,	PUNCT
ejpam-3014	38	12	0	0	PUNCT
ejpam-3014	38	13	<	<	X
ejpam-3014	38	14	rij	rij	X
ejpam-3014	38	15	≤	≤	ADV
ejpam-3014	38	16	1	1	NUM
ejpam-3014	38	17	,	,	PUNCT
ejpam-3014	38	18	i	i	PRON
ejpam-3014	38	19	=	=	NOUN
ejpam-3014	38	20	1	1	NUM
ejpam-3014	38	21	,	,	PUNCT
ejpam-3014	38	22	2	2	NUM
ejpam-3014	38	23	,	,	PUNCT
ejpam-3014	38	24	...	...	PUNCT
ejpam-3014	38	25	,	,	PUNCT
ejpam-3014	38	26	n	n	CCONJ
ejpam-3014	38	27	;	;	PUNCT
ejpam-3014	38	28	j	j	PROPN
ejpam-3014	38	29	=	=	SYM
ejpam-3014	38	30	1	1	NUM
ejpam-3014	38	31	,	,	PUNCT
ejpam-3014	38	32	2	2	NUM
ejpam-3014	38	33	,	,	PUNCT
ejpam-3014	38	34	...	...	PUNCT
ejpam-3014	38	35	,	,	PUNCT
ejpam-3014	38	36	ki	ki	PROPN
ejpam-3014	38	37	.	.	PUNCT
ejpam-3014	39	1	our	our	PRON
ejpam-3014	39	2	goal	goal	NOUN
ejpam-3014	39	3	is	be	AUX
ejpam-3014	39	4	to	to	PART
ejpam-3014	39	5	determine	determine	VERB
ejpam-3014	39	6	the	the	DET
ejpam-3014	39	7	mutual	mutual	ADJ
ejpam-3014	39	8	relations	relation	NOUN
ejpam-3014	39	9	between	between	ADP
ejpam-3014	39	10	the	the	DET
ejpam-3014	39	11	program	program	NOUN
ejpam-3014	39	12	p	p	NOUN
ejpam-3014	39	13	and	and	CCONJ
ejpam-3014	39	14	the	the	DET
ejpam-3014	39	15	program	program	NOUN
ejpam-3014	39	16	p	p	NOUN
ejpam-3014	39	17	.	.	PUNCT
ejpam-3014	40	1	passing	pass	VERB
ejpam-3014	40	2	from	from	ADP
ejpam-3014	40	3	a	a	DET
ejpam-3014	40	4	series	series	NOUN
ejpam-3014	40	5	-	-	PUNCT
ejpam-3014	40	6	parallel	parallel	ADJ
ejpam-3014	40	7	system	system	NOUN
ejpam-3014	40	8	to	to	ADP
ejpam-3014	40	9	a	a	DET
ejpam-3014	40	10	series	series	NOUN
ejpam-3014	40	11	system	system	NOUN
ejpam-3014	40	12	is	be	AUX
ejpam-3014	40	13	important	important	ADJ
ejpam-3014	40	14	when	when	SCONJ
ejpam-3014	40	15	we	we	PRON
ejpam-3014	40	16	need	need	VERB
ejpam-3014	40	17	to	to	PART
ejpam-3014	40	18	decide	decide	VERB
ejpam-3014	40	19	if	if	SCONJ
ejpam-3014	40	20	a	a	DET
ejpam-3014	40	21	given	give	VERB
ejpam-3014	40	22	series	series	NOUN
ejpam-3014	40	23	-	-	PUNCT
ejpam-3014	40	24	parallel	parallel	ADJ
ejpam-3014	40	25	system	system	NOUN
ejpam-3014	40	26	is	be	AUX
ejpam-3014	40	27	optimal	optimal	ADJ
ejpam-3014	40	28	or	or	CCONJ
ejpam-3014	40	29	not	not	PART
ejpam-3014	40	30	.	.	PUNCT
ejpam-3014	41	1	theorem	theorem	NOUN
ejpam-3014	41	2	1	1	NUM
ejpam-3014	41	3	.	.	PUNCT
ejpam-3014	42	1	the	the	DET
ejpam-3014	42	2	image	image	NOUN
ejpam-3014	42	3	of	of	ADP
ejpam-3014	42	4	the	the	DET
ejpam-3014	42	5	program	program	NOUN
ejpam-3014	42	6	p	p	NOUN
ejpam-3014	42	7	via	via	ADP
ejpam-3014	42	8	a	a	DET
ejpam-3014	42	9	submersion	submersion	NOUN
ejpam-3014	42	10	r	r	NOUN
ejpam-3014	42	11	is	be	AUX
ejpam-3014	42	12	the	the	DET
ejpam-3014	42	13	program	program	NOUN
ejpam-3014	42	14	p	p	NOUN
ejpam-3014	42	15	.	.	PUNCT
ejpam-3014	43	1	proof	proof	NOUN
ejpam-3014	43	2	.	.	PUNCT
ejpam-3014	44	1	the	the	DET
ejpam-3014	44	2	function	function	NOUN
ejpam-3014	44	3	r	r	NOUN
ejpam-3014	44	4	of	of	ADP
ejpam-3014	44	5	components	component	NOUN
ejpam-3014	44	6	ri	ri	PROPN
ejpam-3014	44	7	=	=	SYM
ejpam-3014	44	8	1−	1−	NUM
ejpam-3014	44	9	∏ki	∏ki	NOUN
ejpam-3014	44	10	j=1(1−rij)xij	j=1(1−rij)xij	NOUN
ejpam-3014	44	11	,	,	PUNCT
ejpam-3014	44	12	i	i	PRON
ejpam-3014	44	13	=	=	NOUN
ejpam-3014	44	14	1	1	NUM
ejpam-3014	44	15	,	,	PUNCT
ejpam-3014	44	16	2	2	NUM
ejpam-3014	44	17	,	,	PUNCT
ejpam-3014	44	18	...	...	PUNCT
ejpam-3014	44	19	,	,	PUNCT
ejpam-3014	44	20	n	n	CCONJ
ejpam-3014	44	21	,	,	PUNCT
ejpam-3014	44	22	changes	change	VERB
ejpam-3014	44	23	the	the	DET
ejpam-3014	44	24	program	program	NOUN
ejpam-3014	44	25	p	p	NOUN
ejpam-3014	44	26	into	into	ADP
ejpam-3014	44	27	the	the	DET
ejpam-3014	44	28	program	program	NOUN
ejpam-3014	44	29	p	p	NOUN
ejpam-3014	44	30	.	.	PUNCT
ejpam-3014	45	1	it	it	PRON
ejpam-3014	45	2	is	be	AUX
ejpam-3014	45	3	a	a	DET
ejpam-3014	45	4	submersion	submersion	NOUN
ejpam-3014	45	5	from	from	ADP
ejpam-3014	45	6	rk1+	rk1+	NOUN
ejpam-3014	45	7	...	...	PUNCT
ejpam-3014	45	8	+kn	+kn	NOUN
ejpam-3014	45	9	to	to	PART
ejpam-3014	45	10	rn	rn	VERB
ejpam-3014	45	11	since	since	SCONJ
ejpam-3014	45	12	dri	dri	PROPN
ejpam-3014	45	13	ri	ri	PROPN
ejpam-3014	46	1	−	−	PROPN
ejpam-3014	46	2	1	1	NUM
ejpam-3014	46	3	=	=	SYM
ejpam-3014	46	4	ki∑	ki∑	PROPN
ejpam-3014	46	5	j=1	j=1	PROPN
ejpam-3014	46	6	xij	xij	PROPN
ejpam-3014	46	7	drij	drij	VERB
ejpam-3014	46	8	rij	rij	PROPN
ejpam-3014	46	9	−	−	PROPN
ejpam-3014	46	10	1	1	NUM
ejpam-3014	47	1	and	and	CCONJ
ejpam-3014	47	2	hence	hence	ADV
ejpam-3014	47	3	the	the	DET
ejpam-3014	47	4	differential	differential	NOUN
ejpam-3014	47	5	is	be	AUX
ejpam-3014	47	6	everywhere	everywhere	ADV
ejpam-3014	47	7	surjective	surjective	PROPN
ejpam-3014	47	8	.	.	PUNCT
ejpam-3014	48	1	also	also	ADV
ejpam-3014	48	2	r([0	r([0	VERB
ejpam-3014	48	3	,	,	PUNCT
ejpam-3014	48	4	1]k1+	1]k1+	NUM
ejpam-3014	48	5	....	....	SYM
ejpam-3014	48	6	+kn	+kn	NOUN
ejpam-3014	48	7	)	)	PUNCT
ejpam-3014	49	1	=	=	PUNCT
ejpam-3014	50	1	[	[	X
ejpam-3014	50	2	0	0	NUM
ejpam-3014	50	3	,	,	PUNCT
ejpam-3014	50	4	1]n	1]n	NUM
ejpam-3014	50	5	.	.	PUNCT
ejpam-3014	51	1	moving	move	VERB
ejpam-3014	51	2	from	from	ADP
ejpam-3014	51	3	p	p	NOUN
ejpam-3014	51	4	to	to	ADP
ejpam-3014	51	5	p	p	NOUN
ejpam-3014	51	6	is	be	AUX
ejpam-3014	51	7	possible	possible	ADJ
ejpam-3014	51	8	only	only	ADV
ejpam-3014	51	9	when	when	SCONJ
ejpam-3014	51	10	for	for	ADP
ejpam-3014	51	11	c	c	PROPN
ejpam-3014	51	12	there	there	PRON
ejpam-3014	51	13	exists	exist	VERB
ejpam-3014	51	14	a	a	DET
ejpam-3014	51	15	cost	cost	NOUN
ejpam-3014	51	16	c	c	NOUN
ejpam-3014	51	17	:	:	PUNCT
ejpam-3014	52	1	[	[	X
ejpam-3014	52	2	0	0	NUM
ejpam-3014	52	3	,	,	PUNCT
ejpam-3014	52	4	1]n	1]n	NUM
ejpam-3014	52	5	⊂	⊂	X
ejpam-3014	52	6	rn	rn	PROPN
ejpam-3014	52	7	→	→	SYM
ejpam-3014	52	8	r	r	NOUN
ejpam-3014	52	9	such	such	ADJ
ejpam-3014	52	10	that	that	SCONJ
ejpam-3014	52	11	the	the	DET
ejpam-3014	52	12	following	follow	VERB
ejpam-3014	52	13	costs	cost	NOUN
ejpam-3014	52	14	diagram	diagram	NOUN
ejpam-3014	52	15	to	to	PART
ejpam-3014	52	16	be	be	AUX
ejpam-3014	52	17	commutative	commutative	ADJ
ejpam-3014	52	18	:	:	PUNCT
ejpam-3014	52	19	[	[	X
ejpam-3014	52	20	0	0	NUM
ejpam-3014	52	21	,	,	PUNCT
ejpam-3014	52	22	1]n	1]n	NUM
ejpam-3014	52	23	⊂	⊂	X
ejpam-3014	52	24	rn	rn	PROPN
ejpam-3014	52	25	c−→	c−→	PROPN
ejpam-3014	52	26	r	r	NOUN
ejpam-3014	52	27	r	r	PROPN
ejpam-3014	52	28	↖	↖	NUM
ejpam-3014	52	29	↗	↗	PROPN
ejpam-3014	52	30	c	c	NOUN
ejpam-3014	52	31	=	=	SYM
ejpam-3014	52	32	c	c	PROPN
ejpam-3014	52	33	◦	◦	NOUN
ejpam-3014	52	34	r	r	NOUN
ejpam-3014	52	35	[	[	X
ejpam-3014	52	36	0	0	NUM
ejpam-3014	52	37	,	,	PUNCT
ejpam-3014	52	38	1]k1+	1]k1+	NUM
ejpam-3014	52	39	...	...	PUNCT
ejpam-3014	52	40	+kn	+kn	NOUN
ejpam-3014	52	41	⊂	⊂	PROPN
ejpam-3014	52	42	rk1+	rk1+	X
ejpam-3014	52	43	...	...	PUNCT
ejpam-3014	52	44	+kn	+kn	ADJ
ejpam-3014	52	45	remark	remark	NOUN
ejpam-3014	52	46	1	1	NUM
ejpam-3014	52	47	.	.	PUNCT
ejpam-3014	53	1	a	a	DET
ejpam-3014	53	2	submersion	submersion	NOUN
ejpam-3014	53	3	locally	locally	ADV
ejpam-3014	53	4	looks	look	VERB
ejpam-3014	53	5	like	like	ADP
ejpam-3014	53	6	a	a	DET
ejpam-3014	53	7	projection	projection	NOUN
ejpam-3014	53	8	rn	rn	PROPN
ejpam-3014	53	9	×	×	PROPN
ejpam-3014	53	10	rm−n	rm−n	PROPN
ejpam-3014	53	11	→	→	SYM
ejpam-3014	53	12	rn	rn	PROPN
ejpam-3014	53	13	,	,	PUNCT
ejpam-3014	53	14	while	while	SCONJ
ejpam-3014	53	15	an	an	DET
ejpam-3014	53	16	immersion	immersion	NOUN
ejpam-3014	53	17	locally	locally	ADV
ejpam-3014	53	18	looks	look	VERB
ejpam-3014	53	19	like	like	ADP
ejpam-3014	53	20	an	an	DET
ejpam-3014	53	21	inclusion	inclusion	NOUN
ejpam-3014	53	22	rm	rm	NOUN
ejpam-3014	53	23	→	→	SYM
ejpam-3014	53	24	rm	rm	PROPN
ejpam-3014	53	25	×	×	PROPN
ejpam-3014	53	26	rn−m	rn−m	PROPN
ejpam-3014	53	27	.	.	PUNCT
ejpam-3014	54	1	corollary	corollary	ADJ
ejpam-3014	54	2	1	1	NUM
ejpam-3014	54	3	.	.	PUNCT
ejpam-3014	55	1	to	to	ADP
ejpam-3014	55	2	each	each	DET
ejpam-3014	55	3	optimal	optimal	ADJ
ejpam-3014	55	4	program	program	NOUN
ejpam-3014	55	5	p	p	NOUN
ejpam-3014	55	6	there	there	PRON
ejpam-3014	55	7	corresponds	correspond	VERB
ejpam-3014	55	8	an	an	DET
ejpam-3014	55	9	infinity	infinity	NOUN
ejpam-3014	55	10	of	of	ADP
ejpam-3014	55	11	optimal	optimal	ADJ
ejpam-3014	55	12	programs	program	NOUN
ejpam-3014	56	1	p.	p.	VERB
ejpam-3014	56	2	additional	additional	ADJ
ejpam-3014	56	3	assumptions	assumption	NOUN
ejpam-3014	56	4	lead	lead	VERB
ejpam-3014	56	5	to	to	ADP
ejpam-3014	56	6	more	more	ADV
ejpam-3014	56	7	accurate	accurate	ADJ
ejpam-3014	56	8	design	design	NOUN
ejpam-3014	56	9	on	on	ADP
ejpam-3014	56	10	subsystems	subsystem	NOUN
ejpam-3014	56	11	.	.	PUNCT
ejpam-3014	57	1	s.	s.	PROPN
ejpam-3014	57	2	a.	a.	PROPN
ejpam-3014	57	3	abed	abed	PROPN
ejpam-3014	57	4	,	,	PUNCT
ejpam-3014	57	5	c.	c.	PROPN
ejpam-3014	57	6	udriste	udriste	PROPN
ejpam-3014	57	7	,	,	PUNCT
ejpam-3014	57	8	ionel	ionel	NOUN
ejpam-3014	57	9	tevy	tevy	PROPN
ejpam-3014	57	10	/	/	SYM
ejpam-3014	57	11	eur	eur	PROPN
ejpam-3014	57	12	.	.	PUNCT
ejpam-3014	58	1	j.	j.	PROPN
ejpam-3014	58	2	pure	pure	PROPN
ejpam-3014	58	3	appl	appl	PROPN
ejpam-3014	58	4	.	.	PROPN
ejpam-3014	58	5	math	math	PROPN
ejpam-3014	58	6	,	,	PUNCT
ejpam-3014	58	7	10	10	NUM
ejpam-3014	58	8	(	(	PUNCT
ejpam-3014	58	9	4	4	NUM
ejpam-3014	58	10	)	)	PUNCT
ejpam-3014	58	11	(	(	PUNCT
ejpam-3014	58	12	2017	2017	NUM
ejpam-3014	58	13	)	)	PUNCT
ejpam-3014	58	14	,	,	PUNCT
ejpam-3014	58	15	877	877	NUM
ejpam-3014	58	16	-	-	SYM
ejpam-3014	58	17	889	889	NUM
ejpam-3014	58	18	880	880	NUM
ejpam-3014	58	19	2.2	2.2	NUM
ejpam-3014	58	20	.	.	PUNCT
ejpam-3014	59	1	example	example	NOUN
ejpam-3014	59	2	of	of	ADP
ejpam-3014	59	3	series	series	NOUN
ejpam-3014	59	4	-	-	PUNCT
ejpam-3014	59	5	parallel	parallel	ADJ
ejpam-3014	59	6	system	system	NOUN
ejpam-3014	59	7	with	with	ADP
ejpam-3014	59	8	additional	additional	ADJ
ejpam-3014	59	9	assumptions	assumption	NOUN
ejpam-3014	59	10	let	let	VERB
ejpam-3014	59	11	us	we	PRON
ejpam-3014	59	12	analyse	analyse	VERB
ejpam-3014	59	13	a	a	DET
ejpam-3014	59	14	series	series	NOUN
ejpam-3014	59	15	-	-	PUNCT
ejpam-3014	59	16	parallel	parallel	ADJ
ejpam-3014	59	17	system	system	NOUN
ejpam-3014	59	18	with	with	ADP
ejpam-3014	59	19	additional	additional	ADJ
ejpam-3014	59	20	assumption	assumption	NOUN
ejpam-3014	59	21	that	that	SCONJ
ejpam-3014	59	22	,	,	PUNCT
ejpam-3014	59	23	in	in	ADP
ejpam-3014	59	24	each	each	DET
ejpam-3014	59	25	subsystem	subsystem	NOUN
ejpam-3014	59	26	,	,	PUNCT
ejpam-3014	59	27	all	all	DET
ejpam-3014	59	28	components	component	NOUN
ejpam-3014	59	29	have	have	AUX
ejpam-3014	59	30	the	the	DET
ejpam-3014	59	31	same	same	ADJ
ejpam-3014	59	32	reliability	reliability	NOUN
ejpam-3014	59	33	.	.	PUNCT
ejpam-3014	60	1	we	we	PRON
ejpam-3014	60	2	use	use	VERB
ejpam-3014	60	3	the	the	DET
ejpam-3014	60	4	notations	notation	NOUN
ejpam-3014	60	5	:	:	PUNCT
ejpam-3014	60	6	n	n	DET
ejpam-3014	60	7	number	number	NOUN
ejpam-3014	60	8	of	of	ADP
ejpam-3014	60	9	subsystems	subsystem	NOUN
ejpam-3014	60	10	;	;	PUNCT
ejpam-3014	60	11	0	0	NUM
ejpam-3014	60	12	≤	≤	NUM
ejpam-3014	60	13	ri	ri	NOUN
ejpam-3014	60	14	≤	≤	NUM
ejpam-3014	60	15	1	1	NUM
ejpam-3014	60	16	is	be	AUX
ejpam-3014	60	17	the	the	DET
ejpam-3014	60	18	reliability	reliability	NOUN
ejpam-3014	60	19	of	of	ADP
ejpam-3014	60	20	each	each	DET
ejpam-3014	60	21	component	component	NOUN
ejpam-3014	60	22	in	in	ADP
ejpam-3014	60	23	subsystem	subsystem	NOUN
ejpam-3014	60	24	i	i	PRON
ejpam-3014	60	25	;	;	PUNCT
ejpam-3014	60	26	0	0	NUM
ejpam-3014	60	27	≤	≤	NUM
ejpam-3014	60	28	ri	ri	NOUN
ejpam-3014	60	29	≤	≤	NUM
ejpam-3014	60	30	1	1	NUM
ejpam-3014	60	31	is	be	AUX
ejpam-3014	60	32	the	the	DET
ejpam-3014	60	33	reliability	reliability	NOUN
ejpam-3014	60	34	of	of	ADP
ejpam-3014	60	35	subsystem	subsystem	NOUN
ejpam-3014	60	36	i	i	PRON
ejpam-3014	60	37	;	;	PUNCT
ejpam-3014	60	38	ci(ri	ci(ri	PROPN
ejpam-3014	60	39	)	)	PUNCT
ejpam-3014	60	40	is	be	AUX
ejpam-3014	60	41	the	the	DET
ejpam-3014	60	42	cost	cost	NOUN
ejpam-3014	60	43	of	of	ADP
ejpam-3014	60	44	each	each	DET
ejpam-3014	60	45	subsystem	subsystem	NOUN
ejpam-3014	60	46	i	i	PRON
ejpam-3014	60	47	;	;	PUNCT
ejpam-3014	60	48	xi	xi	ADP
ejpam-3014	60	49	=	=	NOUN
ejpam-3014	60	50	number	number	NOUN
ejpam-3014	60	51	of	of	ADP
ejpam-3014	60	52	components	component	NOUN
ejpam-3014	60	53	in	in	ADP
ejpam-3014	60	54	stage	stage	NOUN
ejpam-3014	60	55	i	i	PRON
ejpam-3014	60	56	;	;	PUNCT
ejpam-3014	60	57	c(r1	c(r1	NOUN
ejpam-3014	60	58	,	,	PUNCT
ejpam-3014	60	59	...	...	PUNCT
ejpam-3014	60	60	,	,	PUNCT
ejpam-3014	60	61	rn	rn	PROPN
ejpam-3014	60	62	)	)	PUNCT
ejpam-3014	60	63	=	=	SYM
ejpam-3014	60	64	c	c	PROPN
ejpam-3014	60	65	◦	◦	NOUN
ejpam-3014	60	66	r(r1	r(r1	NUM
ejpam-3014	60	67	,	,	PUNCT
ejpam-3014	60	68	...	...	PUNCT
ejpam-3014	60	69	,	,	PUNCT
ejpam-3014	60	70	rn	rn	PROPN
ejpam-3014	60	71	)	)	PUNCT
ejpam-3014	61	1	=	=	NOUN
ejpam-3014	61	2	∑n	∑n	PROPN
ejpam-3014	61	3	i=1	i=1	PROPN
ejpam-3014	61	4	aici(ri	aici(ri	PROPN
ejpam-3014	61	5	)	)	PUNCT
ejpam-3014	61	6	is	be	AUX
ejpam-3014	61	7	the	the	DET
ejpam-3014	61	8	total	total	ADJ
ejpam-3014	61	9	system	system	NOUN
ejpam-3014	61	10	cost	cost	NOUN
ejpam-3014	61	11	,	,	PUNCT
ejpam-3014	61	12	where	where	SCONJ
ejpam-3014	61	13	ai	ai	VERB
ejpam-3014	61	14	>	>	X
ejpam-3014	61	15	0	0	PROPN
ejpam-3014	61	16	.	.	PUNCT
ejpam-3014	62	1	in	in	ADP
ejpam-3014	62	2	general	general	ADJ
ejpam-3014	62	3	the	the	DET
ejpam-3014	62	4	functionality	functionality	NOUN
ejpam-3014	62	5	of	of	ADP
ejpam-3014	62	6	each	each	DET
ejpam-3014	62	7	subsystems	subsystem	NOUN
ejpam-3014	62	8	can	can	AUX
ejpam-3014	62	9	be	be	AUX
ejpam-3014	62	10	unique	unique	ADJ
ejpam-3014	62	11	,	,	PUNCT
ejpam-3014	62	12	however	however	ADV
ejpam-3014	62	13	there	there	PRON
ejpam-3014	62	14	can	can	AUX
ejpam-3014	62	15	be	be	AUX
ejpam-3014	62	16	several	several	ADJ
ejpam-3014	62	17	choices	choice	NOUN
ejpam-3014	62	18	for	for	ADP
ejpam-3014	62	19	,	,	PUNCT
ejpam-3014	62	20	many	many	ADJ
ejpam-3014	62	21	of	of	ADP
ejpam-3014	62	22	the	the	DET
ejpam-3014	62	23	subsystems	subsystem	NOUN
ejpam-3014	62	24	providing	provide	VERB
ejpam-3014	62	25	the	the	DET
ejpam-3014	62	26	same	same	ADJ
ejpam-3014	62	27	functionality	functionality	NOUN
ejpam-3014	62	28	,	,	PUNCT
ejpam-3014	62	29	but	but	CCONJ
ejpam-3014	62	30	differently	differently	ADV
ejpam-3014	62	31	reliability	reliability	NOUN
ejpam-3014	62	32	levels	level	NOUN
ejpam-3014	62	33	.	.	PUNCT
ejpam-3014	63	1	the	the	DET
ejpam-3014	63	2	objective	objective	NOUN
ejpam-3014	63	3	is	be	AUX
ejpam-3014	63	4	to	to	PART
ejpam-3014	63	5	allocate	allocate	VERB
ejpam-3014	63	6	reliability	reliability	NOUN
ejpam-3014	63	7	to	to	ADP
ejpam-3014	63	8	all	all	PRON
ejpam-3014	63	9	or	or	CCONJ
ejpam-3014	63	10	some	some	PRON
ejpam-3014	63	11	of	of	ADP
ejpam-3014	63	12	the	the	DET
ejpam-3014	63	13	components	component	NOUN
ejpam-3014	63	14	of	of	ADP
ejpam-3014	63	15	that	that	DET
ejpam-3014	63	16	system	system	NOUN
ejpam-3014	63	17	,	,	PUNCT
ejpam-3014	63	18	in	in	ADP
ejpam-3014	63	19	order	order	NOUN
ejpam-3014	63	20	to	to	PART
ejpam-3014	63	21	meet	meet	VERB
ejpam-3014	63	22	that	that	DET
ejpam-3014	63	23	goal	goal	NOUN
ejpam-3014	63	24	with	with	ADP
ejpam-3014	63	25	a	a	DET
ejpam-3014	63	26	minimum	minimum	ADJ
ejpam-3014	63	27	cost	cost	NOUN
ejpam-3014	63	28	.	.	PUNCT
ejpam-3014	64	1	an	an	DET
ejpam-3014	64	2	important	important	ADJ
ejpam-3014	64	3	problem	problem	NOUN
ejpam-3014	64	4	p	p	NOUN
ejpam-3014	64	5	is	be	AUX
ejpam-3014	64	6	formulated	formulate	VERB
ejpam-3014	64	7	as	as	ADP
ejpam-3014	64	8	a	a	DET
ejpam-3014	64	9	nonlinear	nonlinear	ADJ
ejpam-3014	64	10	programming	programming	NOUN
ejpam-3014	64	11	problem	problem	NOUN
ejpam-3014	64	12	,	,	PUNCT
ejpam-3014	64	13	with	with	ADP
ejpam-3014	64	14	additively	additively	ADV
ejpam-3014	64	15	decomposable	decomposable	ADJ
ejpam-3014	64	16	cost	cost	NOUN
ejpam-3014	64	17	function	function	NOUN
ejpam-3014	64	18	and	and	CCONJ
ejpam-3014	64	19	a	a	DET
ejpam-3014	64	20	nonlinear	nonlinear	ADJ
ejpam-3014	64	21	constraint	constraint	NOUN
ejpam-3014	64	22	:	:	PUNCT
ejpam-3014	64	23	p	p	X
ejpam-3014	64	24	:	:	PUNCT
ejpam-3014	64	25	find	find	VERB
ejpam-3014	64	26	min	min	NOUN
ejpam-3014	64	27	r	r	NOUN
ejpam-3014	64	28	c(r1	c(r1	NOUN
ejpam-3014	64	29	,	,	PUNCT
ejpam-3014	64	30	...	...	PUNCT
ejpam-3014	64	31	,	,	PUNCT
ejpam-3014	64	32	rn	rn	PROPN
ejpam-3014	64	33	)	)	PUNCT
ejpam-3014	65	1	=	=	SYM
ejpam-3014	65	2	n∑	n∑	PROPN
ejpam-3014	65	3	i=1	i=1	PROPN
ejpam-3014	65	4	aici(ri	aici(ri	PROPN
ejpam-3014	65	5	)	)	PUNCT
ejpam-3014	65	6	,	,	PUNCT
ejpam-3014	65	7	ai	ai	VERB
ejpam-3014	65	8	>	>	X
ejpam-3014	65	9	0	0	NUM
ejpam-3014	65	10	,	,	PUNCT
ejpam-3014	65	11	r	r	NOUN
ejpam-3014	65	12	=	=	SYM
ejpam-3014	65	13	(	(	PUNCT
ejpam-3014	65	14	r1	r1	PROPN
ejpam-3014	65	15	,	,	PUNCT
ejpam-3014	65	16	...	...	PUNCT
ejpam-3014	65	17	,	,	PUNCT
ejpam-3014	65	18	rn	rn	PROPN
ejpam-3014	65	19	)	)	PUNCT
ejpam-3014	65	20	,	,	PUNCT
ejpam-3014	65	21	subject	subject	ADJ
ejpam-3014	65	22	to	to	ADP
ejpam-3014	65	23	rs	rs	NOUN
ejpam-3014	65	24	=	=	PROPN
ejpam-3014	65	25	n∏	n∏	PROPN
ejpam-3014	65	26	i=1	i=1	PROPN
ejpam-3014	65	27	ri	ri	PROPN
ejpam-3014	66	1	=	=	PROPN
ejpam-3014	66	2	n∏	n∏	PROPN
ejpam-3014	66	3	i=1	i=1	X
ejpam-3014	67	1	[	[	PUNCT
ejpam-3014	67	2	1−	1−	NUM
ejpam-3014	67	3	(	(	PUNCT
ejpam-3014	67	4	1−	1−	NUM
ejpam-3014	67	5	ri)xi	ri)xi	NOUN
ejpam-3014	67	6	]	]	X
ejpam-3014	67	7	≥	≥	X
ejpam-3014	67	8	rg	rg	INTJ
ejpam-3014	67	9	,	,	PUNCT
ejpam-3014	67	10	0	0	PUNCT
ejpam-3014	67	11	<	<	X
ejpam-3014	67	12	ri	ri	PROPN
ejpam-3014	67	13	≤	≤	ADV
ejpam-3014	67	14	1	1	NUM
ejpam-3014	67	15	,	,	PUNCT
ejpam-3014	67	16	i	i	PRON
ejpam-3014	67	17	=	=	NOUN
ejpam-3014	67	18	1	1	NUM
ejpam-3014	67	19	,	,	PUNCT
ejpam-3014	67	20	2	2	NUM
ejpam-3014	67	21	,	,	PUNCT
ejpam-3014	67	22	...	...	PUNCT
ejpam-3014	67	23	,	,	PUNCT
ejpam-3014	67	24	n	n	CCONJ
ejpam-3014	67	25	,	,	PUNCT
ejpam-3014	67	26	where	where	SCONJ
ejpam-3014	67	27	rs	rs	NOUN
ejpam-3014	67	28	is	be	AUX
ejpam-3014	67	29	the	the	DET
ejpam-3014	67	30	system	system	NOUN
ejpam-3014	67	31	reliability	reliability	NOUN
ejpam-3014	67	32	;	;	PUNCT
ejpam-3014	67	33	rg	rg	PROPN
ejpam-3014	67	34	is	be	AUX
ejpam-3014	67	35	the	the	DET
ejpam-3014	67	36	system	system	NOUN
ejpam-3014	67	37	reliability	reliability	NOUN
ejpam-3014	67	38	goal	goal	NOUN
ejpam-3014	67	39	and	and	CCONJ
ejpam-3014	67	40	ri	ri	NOUN
ejpam-3014	67	41	=	=	SYM
ejpam-3014	67	42	1−(1−ri)xi	1−(1−ri)xi	PROPN
ejpam-3014	67	43	.	.	PUNCT
ejpam-3014	68	1	the	the	DET
ejpam-3014	68	2	foregoing	forego	VERB
ejpam-3014	68	3	formulation	formulation	NOUN
ejpam-3014	68	4	is	be	AUX
ejpam-3014	68	5	designed	design	VERB
ejpam-3014	68	6	to	to	PART
ejpam-3014	68	7	achieve	achieve	VERB
ejpam-3014	68	8	a	a	DET
ejpam-3014	68	9	minimum	minimum	ADJ
ejpam-3014	68	10	total	total	NOUN
ejpam-3014	68	11	system	system	NOUN
ejpam-3014	68	12	cost	cost	NOUN
ejpam-3014	68	13	,	,	PUNCT
ejpam-3014	68	14	subject	subject	ADJ
ejpam-3014	68	15	to	to	ADP
ejpam-3014	68	16	rg	rg	PROPN
ejpam-3014	68	17	,	,	PUNCT
ejpam-3014	68	18	a	a	DET
ejpam-3014	68	19	lower	low	ADJ
ejpam-3014	68	20	limit	limit	NOUN
ejpam-3014	68	21	on	on	ADP
ejpam-3014	68	22	the	the	DET
ejpam-3014	68	23	system	system	NOUN
ejpam-3014	68	24	reliability	reliability	NOUN
ejpam-3014	68	25	.	.	PUNCT
ejpam-3014	69	1	the	the	DET
ejpam-3014	69	2	diffeomorphism	diffeomorphism	NOUN
ejpam-3014	69	3	ri	ri	NOUN
ejpam-3014	69	4	=	=	NOUN
ejpam-3014	69	5	1	1	NUM
ejpam-3014	69	6	−	−	NOUN
ejpam-3014	69	7	(	(	PUNCT
ejpam-3014	69	8	1	1	NUM
ejpam-3014	69	9	−	−	NOUN
ejpam-3014	69	10	ri)xi	ri)xi	NOUN
ejpam-3014	69	11	,	,	PUNCT
ejpam-3014	69	12	i	i	PRON
ejpam-3014	69	13	=	=	NOUN
ejpam-3014	69	14	1	1	NUM
ejpam-3014	69	15	,	,	PUNCT
ejpam-3014	69	16	...	...	PUNCT
ejpam-3014	69	17	,	,	PUNCT
ejpam-3014	69	18	n	n	CCONJ
ejpam-3014	69	19	,	,	PUNCT
ejpam-3014	69	20	changes	change	VERB
ejpam-3014	69	21	a	a	DET
ejpam-3014	69	22	program	program	NOUN
ejpam-3014	69	23	p	p	NOUN
ejpam-3014	69	24	into	into	ADP
ejpam-3014	69	25	a	a	DET
ejpam-3014	69	26	program	program	NOUN
ejpam-3014	69	27	p	p	NOUN
ejpam-3014	69	28	,	,	PUNCT
ejpam-3014	69	29	and	and	CCONJ
ejpam-3014	69	30	p	p	NOUN
ejpam-3014	69	31	will	will	AUX
ejpam-3014	69	32	have	have	VERB
ejpam-3014	69	33	unique	unique	ADJ
ejpam-3014	69	34	solution	solution	NOUN
ejpam-3014	69	35	.	.	PUNCT
ejpam-3014	70	1	the	the	DET
ejpam-3014	70	2	inverse	inverse	NOUN
ejpam-3014	70	3	is	be	AUX
ejpam-3014	70	4	ri	ri	PROPN
ejpam-3014	70	5	=	=	SYM
ejpam-3014	70	6	1−	1−	NUM
ejpam-3014	70	7	(	(	PUNCT
ejpam-3014	70	8	1−ri	1−ri	NUM
ejpam-3014	70	9	)	)	PUNCT
ejpam-3014	70	10	1	1	NUM
ejpam-3014	70	11	xi	xi	X
ejpam-3014	70	12	.	.	PUNCT
ejpam-3014	71	1	remark	remark	PROPN
ejpam-3014	71	2	2	2	NUM
ejpam-3014	71	3	.	.	PUNCT
ejpam-3014	72	1	the	the	DET
ejpam-3014	72	2	kuhn	kuhn	PROPN
ejpam-3014	72	3	-	-	PUNCT
ejpam-3014	72	4	tucker	tucker	PROPN
ejpam-3014	72	5	necessary	necessary	ADJ
ejpam-3014	72	6	conditions	condition	NOUN
ejpam-3014	72	7	for	for	ADP
ejpam-3014	72	8	previous	previous	ADJ
ejpam-3014	72	9	program	program	NOUN
ejpam-3014	72	10	p	p	NOUN
ejpam-3014	72	11	were	be	AUX
ejpam-3014	72	12	discussed	discuss	VERB
ejpam-3014	72	13	in	in	ADP
ejpam-3014	72	14	[	[	X
ejpam-3014	72	15	13	13	NUM
ejpam-3014	72	16	]	]	PUNCT
ejpam-3014	72	17	and	and	CCONJ
ejpam-3014	72	18	[	[	X
ejpam-3014	72	19	14	14	NUM
ejpam-3014	72	20	]	]	SYM
ejpam-3014	72	21	.	.	PUNCT
ejpam-3014	73	1	3	3	X
ejpam-3014	73	2	.	.	X
ejpam-3014	73	3	designing	design	VERB
ejpam-3014	73	4	series	series	NOUN
ejpam-3014	73	5	-	-	PUNCT
ejpam-3014	73	6	parallel	parallel	ADJ
ejpam-3014	73	7	systems	system	NOUN
ejpam-3014	73	8	by	by	ADP
ejpam-3014	73	9	similarities	similarity	NOUN
ejpam-3014	73	10	3.1	3.1	NUM
ejpam-3014	73	11	.	.	NOUN
ejpam-3014	73	12	similar	similar	ADJ
ejpam-3014	73	13	to	to	PART
ejpam-3014	73	14	waste	waste	VERB
ejpam-3014	73	15	treatment	treatment	NOUN
ejpam-3014	73	16	plant	plant	NOUN
ejpam-3014	73	17	the	the	DET
ejpam-3014	73	18	problem	problem	NOUN
ejpam-3014	73	19	of	of	ADP
ejpam-3014	73	20	design	design	NOUN
ejpam-3014	73	21	a	a	DET
ejpam-3014	73	22	reliable	reliable	ADJ
ejpam-3014	73	23	system	system	NOUN
ejpam-3014	73	24	is	be	AUX
ejpam-3014	73	25	similar	similar	ADJ
ejpam-3014	73	26	to	to	ADP
ejpam-3014	73	27	the	the	DET
ejpam-3014	73	28	design	design	NOUN
ejpam-3014	73	29	of	of	ADP
ejpam-3014	73	30	an	an	DET
ejpam-3014	73	31	industrial	industrial	ADJ
ejpam-3014	73	32	waste	waste	NOUN
ejpam-3014	73	33	treatment	treatment	NOUN
ejpam-3014	73	34	plant	plant	NOUN
ejpam-3014	73	35	.	.	PUNCT
ejpam-3014	74	1	indeed	indeed	ADV
ejpam-3014	74	2	the	the	DET
ejpam-3014	74	3	plant	plant	NOUN
ejpam-3014	74	4	design	design	NOUN
ejpam-3014	74	5	incorporates	incorporate	VERB
ejpam-3014	74	6	several	several	ADJ
ejpam-3014	74	7	treatment	treatment	NOUN
ejpam-3014	74	8	processes	process	NOUN
ejpam-3014	74	9	in	in	ADP
ejpam-3014	74	10	series	series	NOUN
ejpam-3014	74	11	(	(	PUNCT
ejpam-3014	74	12	see	see	VERB
ejpam-3014	74	13	,	,	PUNCT
ejpam-3014	74	14	[	[	X
ejpam-3014	74	15	3	3	NUM
ejpam-3014	74	16	]	]	PUNCT
ejpam-3014	74	17	,	,	PUNCT
ejpam-3014	74	18	pp	pp	ADJ
ejpam-3014	74	19	.	.	PUNCT
ejpam-3014	75	1	494	494	NUM
ejpam-3014	75	2	-	-	SYM
ejpam-3014	75	3	495	495	NUM
ejpam-3014	75	4	)	)	PUNCT
ejpam-3014	75	5	.	.	PUNCT
ejpam-3014	76	1	the	the	DET
ejpam-3014	76	2	cost	cost	NOUN
ejpam-3014	76	3	formula	formula	NOUN
ejpam-3014	76	4	for	for	ADP
ejpam-3014	76	5	the	the	DET
ejpam-3014	76	6	i	i	PROPN
ejpam-3014	76	7	-	-	PUNCT
ejpam-3014	76	8	th	th	VERB
ejpam-3014	76	9	components	component	NOUN
ejpam-3014	76	10	has	have	VERB
ejpam-3014	76	11	the	the	DET
ejpam-3014	76	12	form	form	NOUN
ejpam-3014	76	13	ci	ci	NOUN
ejpam-3014	76	14	=	=	PUNCT
ejpam-3014	76	15	ci[1−	ci[1−	X
ejpam-3014	76	16	(	(	PUNCT
ejpam-3014	76	17	1−	1−	NUM
ejpam-3014	76	18	ri)xi	ri)xi	NOUN
ejpam-3014	76	19	]	]	X
ejpam-3014	76	20	ai	ai	VERB
ejpam-3014	76	21	,	,	PUNCT
ejpam-3014	76	22	i	i	PRON
ejpam-3014	76	23	=	=	NOUN
ejpam-3014	76	24	1	1	NUM
ejpam-3014	76	25	,	,	PUNCT
ejpam-3014	76	26	...	...	PUNCT
ejpam-3014	76	27	,	,	PUNCT
ejpam-3014	76	28	n	n	CCONJ
ejpam-3014	76	29	,	,	PUNCT
ejpam-3014	76	30	s.	s.	PROPN
ejpam-3014	76	31	a.	a.	PROPN
ejpam-3014	76	32	abed	abed	PROPN
ejpam-3014	76	33	,	,	PUNCT
ejpam-3014	76	34	c.	c.	PROPN
ejpam-3014	76	35	udriste	udriste	PROPN
ejpam-3014	76	36	,	,	PUNCT
ejpam-3014	76	37	ionel	ionel	NOUN
ejpam-3014	76	38	tevy	tevy	PROPN
ejpam-3014	76	39	/	/	SYM
ejpam-3014	76	40	eur	eur	PROPN
ejpam-3014	76	41	.	.	PUNCT
ejpam-3014	77	1	j.	j.	PROPN
ejpam-3014	77	2	pure	pure	PROPN
ejpam-3014	77	3	appl	appl	PROPN
ejpam-3014	77	4	.	.	PROPN
ejpam-3014	77	5	math	math	PROPN
ejpam-3014	77	6	,	,	PUNCT
ejpam-3014	77	7	10	10	NUM
ejpam-3014	77	8	(	(	PUNCT
ejpam-3014	77	9	4	4	NUM
ejpam-3014	77	10	)	)	PUNCT
ejpam-3014	77	11	(	(	PUNCT
ejpam-3014	77	12	2017	2017	NUM
ejpam-3014	77	13	)	)	PUNCT
ejpam-3014	77	14	,	,	PUNCT
ejpam-3014	77	15	877	877	NUM
ejpam-3014	77	16	-	-	SYM
ejpam-3014	77	17	889	889	NUM
ejpam-3014	77	18	881	881	NUM
ejpam-3014	77	19	where	where	SCONJ
ejpam-3014	77	20	ci	ci	PROPN
ejpam-3014	77	21	is	be	AUX
ejpam-3014	77	22	the	the	DET
ejpam-3014	77	23	total	total	ADJ
ejpam-3014	77	24	annual	annual	ADJ
ejpam-3014	77	25	cost	cost	NOUN
ejpam-3014	77	26	,	,	PUNCT
ejpam-3014	77	27	ci	ci	PROPN
ejpam-3014	77	28	>	>	X
ejpam-3014	77	29	0	0	PROPN
ejpam-3014	77	30	,	,	PUNCT
ejpam-3014	77	31	ai	ai	VERB
ejpam-3014	77	32	is	be	AUX
ejpam-3014	77	33	a	a	DET
ejpam-3014	77	34	fixed	fix	VERB
ejpam-3014	77	35	negative	negative	ADJ
ejpam-3014	77	36	exponent	exponent	NOUN
ejpam-3014	77	37	,	,	PUNCT
ejpam-3014	77	38	ri	ri	PROPN
ejpam-3014	77	39	is	be	AUX
ejpam-3014	77	40	reliability	reliability	NOUN
ejpam-3014	77	41	of	of	ADP
ejpam-3014	77	42	i	i	PROPN
ejpam-3014	77	43	-	-	PUNCT
ejpam-3014	77	44	th	th	VERB
ejpam-3014	77	45	component	component	NOUN
ejpam-3014	77	46	.	.	PUNCT
ejpam-3014	78	1	for	for	ADP
ejpam-3014	78	2	a	a	DET
ejpam-3014	78	3	design	design	NOUN
ejpam-3014	78	4	problem	problem	NOUN
ejpam-3014	78	5	involving	involve	VERB
ejpam-3014	78	6	n	n	CCONJ
ejpam-3014	78	7	components	component	NOUN
ejpam-3014	78	8	and	and	CCONJ
ejpam-3014	78	9	r	r	NOUN
ejpam-3014	78	10	=	=	SYM
ejpam-3014	78	11	(	(	PUNCT
ejpam-3014	78	12	r1	r1	PROPN
ejpam-3014	78	13	,	,	PUNCT
ejpam-3014	78	14	...	...	PUNCT
ejpam-3014	78	15	,	,	PUNCT
ejpam-3014	78	16	rn	rn	PROPN
ejpam-3014	78	17	)	)	PUNCT
ejpam-3014	78	18	,	,	PUNCT
ejpam-3014	78	19	the	the	DET
ejpam-3014	78	20	minimization	minimization	NOUN
ejpam-3014	78	21	problem	problem	NOUN
ejpam-3014	78	22	becomes	become	VERB
ejpam-3014	78	23	min	min	PROPN
ejpam-3014	78	24	r	r	PROPN
ejpam-3014	78	25	n∑	n∑	PROPN
ejpam-3014	78	26	i=1	i=1	PROPN
ejpam-3014	78	27	ci	ci	PROPN
ejpam-3014	79	1	[	[	PUNCT
ejpam-3014	79	2	1−	1−	NUM
ejpam-3014	79	3	(	(	PUNCT
ejpam-3014	79	4	1−	1−	NUM
ejpam-3014	79	5	ri)xi	ri)xi	NOUN
ejpam-3014	79	6	]	]	X
ejpam-3014	79	7	ai	ai	VERB
ejpam-3014	79	8	subject	subject	ADJ
ejpam-3014	79	9	to	to	ADP
ejpam-3014	79	10	rs	rs	NOUN
ejpam-3014	79	11	=	=	PROPN
ejpam-3014	79	12	n∏	n∏	PROPN
ejpam-3014	79	13	i=1	i=1	PROPN
ejpam-3014	79	14	ri	ri	PROPN
ejpam-3014	79	15	=	=	PROPN
ejpam-3014	79	16	n∏	n∏	PROPN
ejpam-3014	79	17	i=1	i=1	X
ejpam-3014	80	1	[	[	PUNCT
ejpam-3014	80	2	1−	1−	NUM
ejpam-3014	80	3	(	(	PUNCT
ejpam-3014	80	4	1−	1−	NUM
ejpam-3014	80	5	ri)xi	ri)xi	NOUN
ejpam-3014	80	6	]	]	X
ejpam-3014	80	7	≥	≥	X
ejpam-3014	80	8	rg	rg	INTJ
ejpam-3014	80	9	,	,	PUNCT
ejpam-3014	80	10	0	0	PUNCT
ejpam-3014	80	11	<	<	X
ejpam-3014	80	12	ri	ri	PROPN
ejpam-3014	80	13	≤	≤	ADV
ejpam-3014	80	14	1	1	NUM
ejpam-3014	80	15	,	,	PUNCT
ejpam-3014	80	16	i	i	PRON
ejpam-3014	80	17	=	=	NOUN
ejpam-3014	80	18	1	1	NUM
ejpam-3014	80	19	,	,	PUNCT
ejpam-3014	80	20	2	2	NUM
ejpam-3014	80	21	,	,	PUNCT
ejpam-3014	80	22	...	...	PUNCT
ejpam-3014	80	23	,	,	PUNCT
ejpam-3014	80	24	n.	n.	VERB
ejpam-3014	80	25	the	the	DET
ejpam-3014	80	26	positivity	positivity	NOUN
ejpam-3014	80	27	constraints	constraint	VERB
ejpam-3014	80	28	ri	ri	INTJ
ejpam-3014	80	29	>	>	X
ejpam-3014	80	30	0	0	NUM
ejpam-3014	80	31	will	will	AUX
ejpam-3014	80	32	be	be	AUX
ejpam-3014	80	33	satisfied	satisfied	ADJ
ejpam-3014	80	34	at	at	ADP
ejpam-3014	80	35	a	a	DET
ejpam-3014	80	36	minimizing	minimizing	NOUN
ejpam-3014	80	37	point	point	NOUN
ejpam-3014	80	38	because	because	SCONJ
ejpam-3014	80	39	of	of	ADP
ejpam-3014	80	40	the	the	DET
ejpam-3014	80	41	inverse	inverse	NOUN
ejpam-3014	80	42	relationship	relationship	NOUN
ejpam-3014	80	43	between	between	ADP
ejpam-3014	80	44	process	process	NOUN
ejpam-3014	80	45	costs	cost	NOUN
ejpam-3014	80	46	and	and	CCONJ
ejpam-3014	80	47	the	the	DET
ejpam-3014	80	48	variables	variable	NOUN
ejpam-3014	80	49	ri	ri	PROPN
ejpam-3014	80	50	,	,	PUNCT
ejpam-3014	80	51	that	that	ADV
ejpam-3014	80	52	is	is	ADV
ejpam-3014	80	53	,	,	PUNCT
ejpam-3014	80	54	as	as	ADP
ejpam-3014	80	55	ri	ri	PROPN
ejpam-3014	80	56	approaches	approach	NOUN
ejpam-3014	80	57	zero	zero	NUM
ejpam-3014	80	58	,	,	PUNCT
ejpam-3014	80	59	the	the	DET
ejpam-3014	80	60	corresponding	corresponding	ADJ
ejpam-3014	80	61	cost	cost	NOUN
ejpam-3014	80	62	term	term	NOUN
ejpam-3014	80	63	ci[1−	ci[1−	PUNCT
ejpam-3014	80	64	(	(	PUNCT
ejpam-3014	80	65	1−	1−	NUM
ejpam-3014	80	66	ri)xi	ri)xi	NOUN
ejpam-3014	80	67	]	]	X
ejpam-3014	80	68	ai	ai	VERB
ejpam-3014	80	69	approaches	approach	VERB
ejpam-3014	80	70	positive	positive	ADJ
ejpam-3014	80	71	infinity	infinity	NOUN
ejpam-3014	80	72	.	.	PUNCT
ejpam-3014	81	1	the	the	DET
ejpam-3014	81	2	diffeomorphism	diffeomorphism	NOUN
ejpam-3014	81	3	ri	ri	NOUN
ejpam-3014	81	4	=	=	SYM
ejpam-3014	81	5	1−	1−	NUM
ejpam-3014	81	6	(	(	PUNCT
ejpam-3014	81	7	1−	1−	NUM
ejpam-3014	81	8	ri)xi	ri)xi	NOUN
ejpam-3014	81	9	changes	change	VERB
ejpam-3014	81	10	the	the	DET
ejpam-3014	81	11	previous	previous	ADJ
ejpam-3014	81	12	program	program	NOUN
ejpam-3014	81	13	into	into	ADP
ejpam-3014	81	14	a	a	DET
ejpam-3014	81	15	geometric	geometric	ADJ
ejpam-3014	81	16	program	program	NOUN
ejpam-3014	81	17	.	.	PUNCT
ejpam-3014	82	1	3.2	3.2	NUM
ejpam-3014	82	2	.	.	PUNCT
ejpam-3014	82	3	similar	similar	ADJ
ejpam-3014	82	4	to	to	ADP
ejpam-3014	82	5	transmission	transmission	NOUN
ejpam-3014	82	6	compressor	compressor	NOUN
ejpam-3014	82	7	design	design	NOUN
ejpam-3014	82	8	the	the	DET
ejpam-3014	82	9	problem	problem	NOUN
ejpam-3014	82	10	of	of	ADP
ejpam-3014	82	11	design	design	NOUN
ejpam-3014	82	12	a	a	DET
ejpam-3014	82	13	reliable	reliable	ADJ
ejpam-3014	82	14	system	system	NOUN
ejpam-3014	82	15	is	be	AUX
ejpam-3014	82	16	similar	similar	ADJ
ejpam-3014	82	17	to	to	ADP
ejpam-3014	82	18	transmission	transmission	NOUN
ejpam-3014	82	19	compressor	compressor	NOUN
ejpam-3014	82	20	design	design	NOUN
ejpam-3014	82	21	.	.	PUNCT
ejpam-3014	83	1	indeed	indeed	ADV
ejpam-3014	83	2	a	a	DET
ejpam-3014	83	3	classical	classical	ADJ
ejpam-3014	83	4	problem	problem	NOUN
ejpam-3014	83	5	in	in	ADP
ejpam-3014	83	6	compressor	compressor	NOUN
ejpam-3014	83	7	design	design	NOUN
ejpam-3014	83	8	is	be	AUX
ejpam-3014	83	9	finding	find	VERB
ejpam-3014	83	10	the	the	DET
ejpam-3014	83	11	interstage	interstage	NOUN
ejpam-3014	83	12	pressures	pressure	NOUN
ejpam-3014	83	13	for	for	ADP
ejpam-3014	83	14	an	an	DET
ejpam-3014	83	15	adiabatic	adiabatic	ADJ
ejpam-3014	83	16	reversible	reversible	ADJ
ejpam-3014	83	17	compression	compression	NOUN
ejpam-3014	83	18	of	of	ADP
ejpam-3014	83	19	an	an	DET
ejpam-3014	83	20	ideal	ideal	ADJ
ejpam-3014	83	21	gas	gas	NOUN
ejpam-3014	83	22	(	(	PUNCT
ejpam-3014	83	23	see	see	VERB
ejpam-3014	83	24	,	,	PUNCT
ejpam-3014	83	25	[	[	X
ejpam-3014	83	26	3	3	NUM
ejpam-3014	83	27	]	]	PUNCT
ejpam-3014	83	28	,	,	PUNCT
ejpam-3014	83	29	pp	pp	PROPN
ejpam-3014	83	30	.	.	PUNCT
ejpam-3014	84	1	426	426	NUM
ejpam-3014	84	2	-	-	SYM
ejpam-3014	84	3	432	432	NUM
ejpam-3014	84	4	;	;	PUNCT
ejpam-3014	85	1	[	[	X
ejpam-3014	85	2	11	11	NUM
ejpam-3014	85	3	]	]	PUNCT
ejpam-3014	85	4	,	,	PUNCT
ejpam-3014	85	5	pp	pp	ADJ
ejpam-3014	85	6	.	.	PUNCT
ejpam-3014	86	1	180	180	NUM
ejpam-3014	86	2	-	-	SYM
ejpam-3014	86	3	181	181	NUM
ejpam-3014	86	4	)	)	PUNCT
ejpam-3014	86	5	.	.	PUNCT
ejpam-3014	87	1	we	we	PRON
ejpam-3014	87	2	seek	seek	VERB
ejpam-3014	87	3	to	to	PART
ejpam-3014	87	4	minimize	minimize	VERB
ejpam-3014	87	5	the	the	DET
ejpam-3014	87	6	energy	energy	NOUN
ejpam-3014	87	7	consumption	consumption	NOUN
ejpam-3014	87	8	of	of	ADP
ejpam-3014	87	9	an	an	DET
ejpam-3014	87	10	(	(	PUNCT
ejpam-3014	87	11	n+	n+	NUM
ejpam-3014	87	12	1)-stage	1)-stage	NUM
ejpam-3014	87	13	system	system	NOUN
ejpam-3014	87	14	whose	whose	DET
ejpam-3014	87	15	work	work	NOUN
ejpam-3014	87	16	is	be	AUX
ejpam-3014	87	17	e(r1	e(r1	PROPN
ejpam-3014	87	18	,	,	PUNCT
ejpam-3014	87	19	.	.	PUNCT
ejpam-3014	87	20	.	.	PUNCT
ejpam-3014	88	1	.	.	PUNCT
ejpam-3014	89	1	,	,	PUNCT
ejpam-3014	89	2	rn	rn	PROPN
ejpam-3014	89	3	)	)	PUNCT
ejpam-3014	89	4	=	=	PUNCT
ejpam-3014	90	1	c	c	X
ejpam-3014	91	1	[	[	X
ejpam-3014	91	2	(	(	PUNCT
ejpam-3014	91	3	r1	r1	PROPN
ejpam-3014	91	4	c1	c1	PROPN
ejpam-3014	91	5	)	)	PUNCT
ejpam-3014	91	6	α	α	PROPN
ejpam-3014	92	1	+	+	CCONJ
ejpam-3014	92	2	(	(	PUNCT
ejpam-3014	92	3	r2	r2	PROPN
ejpam-3014	92	4	r1	r1	PROPN
ejpam-3014	92	5	)	)	PUNCT
ejpam-3014	92	6	α	α	PROPN
ejpam-3014	92	7	+	+	X
ejpam-3014	92	8	.	.	PUNCT
ejpam-3014	92	9	.	.	PUNCT
ejpam-3014	93	1	.+	.+	NOUN
ejpam-3014	93	2	(	(	PUNCT
ejpam-3014	93	3	rn	rn	INTJ
ejpam-3014	93	4	rn−1	rn−1	PROPN
ejpam-3014	93	5	)	)	PUNCT
ejpam-3014	94	1	α	α	PROPN
ejpam-3014	95	1	+	+	CCONJ
ejpam-3014	95	2	(	(	PUNCT
ejpam-3014	95	3	c2	c2	PROPN
ejpam-3014	95	4	rn	rn	PROPN
ejpam-3014	95	5	)	)	PUNCT
ejpam-3014	95	6	α	α	PROPN
ejpam-3014	95	7	]	]	X
ejpam-3014	95	8	,	,	PUNCT
ejpam-3014	95	9	where	where	SCONJ
ejpam-3014	95	10	:	:	PUNCT
ejpam-3014	95	11	c1	c1	PROPN
ejpam-3014	95	12	=	=	PUNCT
ejpam-3014	95	13	inlet	inlet	VERB
ejpam-3014	95	14	reliability	reliability	NOUN
ejpam-3014	95	15	,	,	PUNCT
ejpam-3014	95	16	c2	c2	PROPN
ejpam-3014	95	17	=	=	PUNCT
ejpam-3014	95	18	outlet	outlet	NOUN
ejpam-3014	95	19	reliability	reliability	NOUN
ejpam-3014	95	20	,	,	PUNCT
ejpam-3014	95	21	α	α	NOUN
ejpam-3014	95	22	=	=	SYM
ejpam-3014	95	23	adiabatic	adiabatic	ADJ
ejpam-3014	95	24	index	index	NOUN
ejpam-3014	95	25	(	(	PUNCT
ejpam-3014	95	26	the	the	DET
ejpam-3014	95	27	surrounding	surrounding	NOUN
ejpam-3014	95	28	do	do	AUX
ejpam-3014	95	29	not	not	PART
ejpam-3014	95	30	influence	influence	VERB
ejpam-3014	95	31	the	the	DET
ejpam-3014	95	32	reliability	reliability	NOUN
ejpam-3014	95	33	)	)	PUNCT
ejpam-3014	95	34	.	.	PUNCT
ejpam-3014	96	1	this	this	DET
ejpam-3014	96	2	free	free	ADJ
ejpam-3014	96	3	geometric	geometric	ADJ
ejpam-3014	96	4	program	program	NOUN
ejpam-3014	96	5	has	have	VERB
ejpam-3014	96	6	zero	zero	NUM
ejpam-3014	96	7	degree	degree	NOUN
ejpam-3014	96	8	of	of	ADP
ejpam-3014	96	9	difficulty	difficulty	NOUN
ejpam-3014	96	10	.	.	PUNCT
ejpam-3014	97	1	the	the	DET
ejpam-3014	97	2	dual	dual	ADJ
ejpam-3014	97	3	program	program	NOUN
ejpam-3014	97	4	is	be	AUX
ejpam-3014	97	5	max	max	PROPN
ejpam-3014	97	6	(	(	PUNCT
ejpam-3014	97	7	c	c	PROPN
ejpam-3014	97	8	c−α1	c−α1	NOUN
ejpam-3014	97	9	δ1	δ1	NOUN
ejpam-3014	97	10	)	)	PUNCT
ejpam-3014	97	11	δ1	δ1	NOUN
ejpam-3014	97	12	(	(	PUNCT
ejpam-3014	97	13	c	c	NOUN
ejpam-3014	97	14	δ2	δ2	ADV
ejpam-3014	97	15	)	)	PUNCT
ejpam-3014	97	16	δ2	δ2	VERB
ejpam-3014	97	17	·	·	PUNCT
ejpam-3014	97	18	·	·	PUNCT
ejpam-3014	97	19	·	·	PUNCT
ejpam-3014	97	20	(	(	PUNCT
ejpam-3014	97	21	c	c	NOUN
ejpam-3014	97	22	δn	δn	ADJ
ejpam-3014	97	23	)	)	PUNCT
ejpam-3014	97	24	δn	δn	NOUN
ejpam-3014	97	25	(	(	PUNCT
ejpam-3014	97	26	c	c	NOUN
ejpam-3014	97	27	cα2	cα2	NOUN
ejpam-3014	97	28	δn+1	δn+1	PROPN
ejpam-3014	97	29	)	)	PUNCT
ejpam-3014	97	30	δn+1	δn+1	PROPN
ejpam-3014	97	31	,	,	PUNCT
ejpam-3014	97	32	with	with	ADP
ejpam-3014	97	33	the	the	DET
ejpam-3014	97	34	constraints	constraint	NOUN
ejpam-3014	97	35	n+1∑	n+1∑	ADP
ejpam-3014	97	36	i=1	i=1	PRON
ejpam-3014	97	37	δi	δi	ADV
ejpam-3014	97	38	=	=	SYM
ejpam-3014	97	39	1	1	NUM
ejpam-3014	97	40	,	,	PUNCT
ejpam-3014	97	41	δ1	δ1	NOUN
ejpam-3014	97	42	=	=	SYM
ejpam-3014	97	43	δ2	δ2	PROPN
ejpam-3014	97	44	,	,	PUNCT
ejpam-3014	97	45	...	...	PUNCT
ejpam-3014	97	46	,	,	PUNCT
ejpam-3014	97	47	δn	δn	PROPN
ejpam-3014	97	48	=	=	SYM
ejpam-3014	97	49	δn+1	δn+1	PROPN
ejpam-3014	97	50	.	.	PUNCT
ejpam-3014	98	1	it	it	PRON
ejpam-3014	98	2	follows	follow	VERB
ejpam-3014	98	3	δ1	δ1	NOUN
ejpam-3014	98	4	=	=	PUNCT
ejpam-3014	98	5	...	...	PUNCT
ejpam-3014	99	1	=	=	PUNCT
ejpam-3014	99	2	δn+1	δn+1	NOUN
ejpam-3014	99	3	=	=	SYM
ejpam-3014	99	4	1	1	X
ejpam-3014	99	5	n+1	n+1	NUM
ejpam-3014	99	6	and	and	CCONJ
ejpam-3014	99	7	the	the	DET
ejpam-3014	99	8	searched	search	VERB
ejpam-3014	99	9	minimum	minimum	NOUN
ejpam-3014	99	10	is	be	AUX
ejpam-3014	99	11	(	(	PUNCT
ejpam-3014	99	12	n	n	X
ejpam-3014	99	13	+	+	CCONJ
ejpam-3014	99	14	1)c	1)c	NUM
ejpam-3014	99	15	(	(	PUNCT
ejpam-3014	99	16	c2	c2	PROPN
ejpam-3014	99	17	c1	c1	PROPN
ejpam-3014	99	18	)	)	PUNCT
ejpam-3014	100	1	α	α	PROPN
ejpam-3014	100	2	n+1	n+1	PROPN
ejpam-3014	100	3	.	.	PUNCT
ejpam-3014	101	1	since	since	SCONJ
ejpam-3014	101	2	,	,	PUNCT
ejpam-3014	101	3	at	at	ADP
ejpam-3014	101	4	optimality	optimality	NOUN
ejpam-3014	101	5	,	,	PUNCT
ejpam-3014	101	6	all	all	DET
ejpam-3014	101	7	dual	dual	ADJ
ejpam-3014	101	8	variables	variable	NOUN
ejpam-3014	101	9	are	be	AUX
ejpam-3014	101	10	equal	equal	ADJ
ejpam-3014	101	11	,	,	PUNCT
ejpam-3014	101	12	the	the	DET
ejpam-3014	101	13	stages	stage	NOUN
ejpam-3014	101	14	contribute	contribute	VERB
ejpam-3014	101	15	equally	equally	ADV
ejpam-3014	101	16	to	to	ADP
ejpam-3014	101	17	the	the	DET
ejpam-3014	101	18	minimizing	minimize	VERB
ejpam-3014	101	19	energy	energy	NOUN
ejpam-3014	101	20	policy	policy	NOUN
ejpam-3014	101	21	,	,	PUNCT
ejpam-3014	101	22	and	and	CCONJ
ejpam-3014	101	23	all	all	DET
ejpam-3014	101	24	subsystem	subsystem	NOUN
ejpam-3014	101	25	ratios	ratio	NOUN
ejpam-3014	101	26	must	must	AUX
ejpam-3014	101	27	be	be	AUX
ejpam-3014	101	28	equal	equal	ADJ
ejpam-3014	101	29	.	.	PUNCT
ejpam-3014	102	1	the	the	DET
ejpam-3014	102	2	minimum	minimum	ADJ
ejpam-3014	102	3	point	point	NOUN
ejpam-3014	102	4	is	be	AUX
ejpam-3014	102	5	the	the	DET
ejpam-3014	102	6	solution	solution	NOUN
ejpam-3014	102	7	of	of	ADP
ejpam-3014	102	8	the	the	DET
ejpam-3014	102	9	system	system	NOUN
ejpam-3014	102	10	c	c	PROPN
ejpam-3014	102	11	(	(	PUNCT
ejpam-3014	102	12	r1	r1	PROPN
ejpam-3014	102	13	c1	c1	PROPN
ejpam-3014	102	14	)	)	PUNCT
ejpam-3014	102	15	α	α	PROPN
ejpam-3014	102	16	=	=	X
ejpam-3014	102	17	.	.	PUNCT
ejpam-3014	102	18	.	.	PUNCT
ejpam-3014	102	19	.	.	PUNCT
ejpam-3014	103	1	=	=	PUNCT
ejpam-3014	103	2	c	c	X
ejpam-3014	103	3	(	(	PUNCT
ejpam-3014	103	4	c2	c2	PROPN
ejpam-3014	103	5	rn	rn	PROPN
ejpam-3014	103	6	)	)	PUNCT
ejpam-3014	103	7	α	α	PROPN
ejpam-3014	103	8	=	=	PUNCT
ejpam-3014	103	9	c	c	PROPN
ejpam-3014	103	10	(	(	PUNCT
ejpam-3014	103	11	c2	c2	PROPN
ejpam-3014	103	12	c1	c1	PROPN
ejpam-3014	103	13	)	)	PUNCT
ejpam-3014	104	1	α	α	PROPN
ejpam-3014	104	2	n+1	n+1	PROPN
ejpam-3014	104	3	,	,	PUNCT
ejpam-3014	104	4	s.	s.	PROPN
ejpam-3014	104	5	a.	a.	PROPN
ejpam-3014	104	6	abed	abed	PROPN
ejpam-3014	104	7	,	,	PUNCT
ejpam-3014	104	8	c.	c.	PROPN
ejpam-3014	104	9	udriste	udriste	PROPN
ejpam-3014	104	10	,	,	PUNCT
ejpam-3014	104	11	ionel	ionel	NOUN
ejpam-3014	104	12	tevy	tevy	PROPN
ejpam-3014	104	13	/	/	SYM
ejpam-3014	104	14	eur	eur	PROPN
ejpam-3014	104	15	.	.	PUNCT
ejpam-3014	105	1	j.	j.	PROPN
ejpam-3014	105	2	pure	pure	PROPN
ejpam-3014	105	3	appl	appl	PROPN
ejpam-3014	105	4	.	.	PROPN
ejpam-3014	105	5	math	math	PROPN
ejpam-3014	105	6	,	,	PUNCT
ejpam-3014	105	7	10	10	NUM
ejpam-3014	105	8	(	(	PUNCT
ejpam-3014	105	9	4	4	NUM
ejpam-3014	105	10	)	)	PUNCT
ejpam-3014	105	11	(	(	PUNCT
ejpam-3014	105	12	2017	2017	NUM
ejpam-3014	105	13	)	)	PUNCT
ejpam-3014	105	14	,	,	PUNCT
ejpam-3014	105	15	877	877	NUM
ejpam-3014	105	16	-	-	SYM
ejpam-3014	105	17	889	889	NUM
ejpam-3014	105	18	882	882	NUM
ejpam-3014	105	19	i.e.	i.e.	X
ejpam-3014	105	20	,	,	PUNCT
ejpam-3014	105	21	ri	ri	PROPN
ejpam-3014	106	1	=	=	PUNCT
ejpam-3014	106	2	c	c	PROPN
ejpam-3014	107	1	i	i	NOUN
ejpam-3014	107	2	n+1	n+1	PROPN
ejpam-3014	107	3	2	2	NUM
ejpam-3014	107	4	c	c	NOUN
ejpam-3014	107	5	1−	1−	NUM
ejpam-3014	108	1	i	i	NOUN
ejpam-3014	108	2	n+1	n+1	PROPN
ejpam-3014	108	3	1	1	NUM
ejpam-3014	108	4	,	,	PUNCT
ejpam-3014	108	5	i	i	PRON
ejpam-3014	108	6	=	=	NOUN
ejpam-3014	108	7	1	1	NUM
ejpam-3014	108	8	,	,	PUNCT
ejpam-3014	108	9	...	...	PUNCT
ejpam-3014	108	10	,	,	PUNCT
ejpam-3014	108	11	n+	n+	PUNCT
ejpam-3014	108	12	1	1	X
ejpam-3014	108	13	.	.	X
ejpam-3014	108	14	remark	remark	NOUN
ejpam-3014	108	15	3	3	NUM
ejpam-3014	108	16	.	.	PUNCT
ejpam-3014	108	17	let	let	VERB
ejpam-3014	108	18	us	we	PRON
ejpam-3014	108	19	point	point	VERB
ejpam-3014	108	20	two	two	NUM
ejpam-3014	108	21	interesting	interesting	ADJ
ejpam-3014	108	22	problems	problem	NOUN
ejpam-3014	108	23	:	:	PUNCT
ejpam-3014	108	24	max	max	PROPN
ejpam-3014	108	25	r	r	PROPN
ejpam-3014	108	26	e(r1	e(r1	PROPN
ejpam-3014	108	27	,	,	PUNCT
ejpam-3014	108	28	.	.	PUNCT
ejpam-3014	108	29	.	.	PUNCT
ejpam-3014	109	1	.	.	PUNCT
ejpam-3014	110	1	,	,	PUNCT
ejpam-3014	110	2	rn	rn	PROPN
ejpam-3014	110	3	)	)	PUNCT
ejpam-3014	110	4	subject	subject	NOUN
ejpam-3014	110	5	to	to	ADP
ejpam-3014	110	6	n∏	n∏	PROPN
ejpam-3014	110	7	i=1	i=1	PROPN
ejpam-3014	110	8	ri	ri	PROPN
ejpam-3014	110	9	≥	≥	NUM
ejpam-3014	110	10	rg	rg	PROPN
ejpam-3014	110	11	,	,	PUNCT
ejpam-3014	110	12	0	0	PUNCT
ejpam-3014	110	13	<	<	X
ejpam-3014	110	14	ri	ri	PROPN
ejpam-3014	111	1	≤	≤	ADV
ejpam-3014	111	2	1	1	NUM
ejpam-3014	111	3	and	and	CCONJ
ejpam-3014	111	4	max	max	PROPN
ejpam-3014	111	5	r	r	PROPN
ejpam-3014	111	6	e(r1	e(r1	PROPN
ejpam-3014	111	7	,	,	PUNCT
ejpam-3014	111	8	.	.	PUNCT
ejpam-3014	111	9	.	.	PUNCT
ejpam-3014	112	1	.	.	PUNCT
ejpam-3014	113	1	,	,	PUNCT
ejpam-3014	113	2	rn	rn	PROPN
ejpam-3014	113	3	)	)	PUNCT
ejpam-3014	113	4	subject	subject	NOUN
ejpam-3014	113	5	to	to	ADP
ejpam-3014	113	6	h(r	h(r	NOUN
ejpam-3014	113	7	)	)	PUNCT
ejpam-3014	114	1	=	=	PUNCT
ejpam-3014	115	1	−	−	PROPN
ejpam-3014	115	2	n∑	n∑	NOUN
ejpam-3014	115	3	i=1	i=1	PROPN
ejpam-3014	115	4	ri	ri	PROPN
ejpam-3014	116	1	log2ri	log2ri	PROPN
ejpam-3014	116	2	≥	≥	NUM
ejpam-3014	116	3	h0	h0	PROPN
ejpam-3014	116	4	,	,	PUNCT
ejpam-3014	116	5	0	0	PUNCT
ejpam-3014	116	6	<	<	X
ejpam-3014	116	7	ri	ri	X
ejpam-3014	116	8	<	<	X
ejpam-3014	116	9	1	1	NUM
ejpam-3014	116	10	.	.	SYM
ejpam-3014	116	11	3.3	3.3	NUM
ejpam-3014	116	12	.	.	PUNCT
ejpam-3014	117	1	similar	similar	ADJ
ejpam-3014	117	2	to	to	ADP
ejpam-3014	117	3	statistics	statistic	NOUN
ejpam-3014	117	4	metric	metric	ADJ
ejpam-3014	117	5	in	in	ADP
ejpam-3014	117	6	statistics	statistic	NOUN
ejpam-3014	117	7	there	there	PRON
ejpam-3014	117	8	exists	exist	VERB
ejpam-3014	117	9	a	a	DET
ejpam-3014	117	10	wide	wide	ADJ
ejpam-3014	117	11	variety	variety	NOUN
ejpam-3014	117	12	of	of	ADP
ejpam-3014	117	13	metrics	metric	NOUN
ejpam-3014	117	14	such	such	ADJ
ejpam-3014	117	15	as	as	ADP
ejpam-3014	117	16	median	median	ADJ
ejpam-3014	117	17	,	,	PUNCT
ejpam-3014	117	18	standard	standard	ADJ
ejpam-3014	117	19	deviation	deviation	NOUN
ejpam-3014	117	20	,	,	PUNCT
ejpam-3014	117	21	arithmetic	arithmetic	ADJ
ejpam-3014	117	22	mean	mean	NOUN
ejpam-3014	117	23	,	,	PUNCT
ejpam-3014	117	24	power	power	NOUN
ejpam-3014	117	25	mean	mean	NOUN
ejpam-3014	117	26	,	,	PUNCT
ejpam-3014	117	27	geometric	geometric	ADJ
ejpam-3014	117	28	mean	mean	NOUN
ejpam-3014	117	29	and	and	CCONJ
ejpam-3014	117	30	many	many	ADJ
ejpam-3014	117	31	others	other	NOUN
ejpam-3014	117	32	.	.	PUNCT
ejpam-3014	118	1	in	in	ADP
ejpam-3014	118	2	many	many	ADJ
ejpam-3014	118	3	important	important	ADJ
ejpam-3014	118	4	problems	problem	NOUN
ejpam-3014	118	5	,	,	PUNCT
ejpam-3014	118	6	we	we	PRON
ejpam-3014	118	7	seek	seek	VERB
ejpam-3014	118	8	to	to	PART
ejpam-3014	118	9	minimize	minimize	VERB
ejpam-3014	118	10	the	the	DET
ejpam-3014	118	11	geometric	geometric	ADJ
ejpam-3014	118	12	mean	mean	NOUN
ejpam-3014	118	13	(	(	PUNCT
ejpam-3014	118	14	n∏	n∏	PROPN
ejpam-3014	118	15	i=1	i=1	PROPN
ejpam-3014	118	16	ri	ri	PROPN
ejpam-3014	118	17	)	)	PUNCT
ejpam-3014	118	18	1	1	NUM
ejpam-3014	118	19	n	n	NOUN
ejpam-3014	118	20	=	=	SYM
ejpam-3014	118	21	n	n	CCONJ
ejpam-3014	118	22	√	√	ADV
ejpam-3014	118	23	r1r2	r1r2	PROPN
ejpam-3014	118	24	·	·	PUNCT
ejpam-3014	118	25	·	·	PUNCT
ejpam-3014	118	26	·	·	PUNCT
ejpam-3014	118	27	rn	rn	PROPN
ejpam-3014	118	28	.	.	PROPN
ejpam-3014	118	29	subject	subject	NOUN
ejpam-3014	118	30	to	to	ADP
ejpam-3014	118	31	some	some	DET
ejpam-3014	118	32	restrictions	restriction	NOUN
ejpam-3014	118	33	.	.	PUNCT
ejpam-3014	119	1	3.4	3.4	NUM
ejpam-3014	119	2	.	.	PUNCT
ejpam-3014	119	3	symmetric	symmetric	ADJ
ejpam-3014	119	4	polynomials	polynomial	NOUN
ejpam-3014	119	5	of	of	ADP
ejpam-3014	119	6	reliabilities	reliability	NOUN
ejpam-3014	119	7	let	let	VERB
ejpam-3014	119	8	r	r	NOUN
ejpam-3014	119	9	=	=	SYM
ejpam-3014	119	10	(	(	PUNCT
ejpam-3014	119	11	r1	r1	PROPN
ejpam-3014	119	12	,	,	PUNCT
ejpam-3014	119	13	...	...	PUNCT
ejpam-3014	119	14	,	,	PUNCT
ejpam-3014	119	15	rn	rn	PROPN
ejpam-3014	119	16	)	)	PUNCT
ejpam-3014	119	17	,	,	PUNCT
ejpam-3014	119	18	with	with	ADP
ejpam-3014	119	19	0	0	NUM
ejpam-3014	119	20	≤	≤	NUM
ejpam-3014	119	21	ri	ri	NOUN
ejpam-3014	119	22	≤	≤	ADV
ejpam-3014	119	23	1	1	NUM
ejpam-3014	119	24	.	.	PUNCT
ejpam-3014	120	1	we	we	PRON
ejpam-3014	120	2	build	build	VERB
ejpam-3014	120	3	the	the	DET
ejpam-3014	120	4	symmetric	symmetric	ADJ
ejpam-3014	120	5	polynomials	polynomial	NOUN
ejpam-3014	120	6	s1(r	s1(r	NOUN
ejpam-3014	120	7	)	)	PUNCT
ejpam-3014	121	1	=	=	NOUN
ejpam-3014	121	2	∑n	∑n	PROPN
ejpam-3014	121	3	i=1ri	i=1ri	NUM
ejpam-3014	121	4	,	,	PUNCT
ejpam-3014	121	5	s2(r	s2(r	X
ejpam-3014	121	6	)	)	PUNCT
ejpam-3014	121	7	=	=	PUNCT
ejpam-3014	122	1	∑	∑	PUNCT
ejpam-3014	122	2	i	i	PRON
ejpam-3014	122	3	<	<	X
ejpam-3014	122	4	j	j	NOUN
ejpam-3014	122	5	rirj	rirj	NOUN
ejpam-3014	122	6	,	,	PUNCT
ejpam-3014	122	7	s3(r	s3(r	NOUN
ejpam-3014	122	8	)	)	PUNCT
ejpam-3014	122	9	=	=	PUNCT
ejpam-3014	122	10	∑	∑	PUNCT
ejpam-3014	122	11	i	i	X
ejpam-3014	122	12	<	<	X
ejpam-3014	122	13	j	j	PROPN
ejpam-3014	122	14	<	<	X
ejpam-3014	122	15	k	k	X
ejpam-3014	122	16	rirjrk	rirjrk	ADJ
ejpam-3014	122	17	,	,	PUNCT
ejpam-3014	122	18	and	and	CCONJ
ejpam-3014	122	19	so	so	ADV
ejpam-3014	122	20	on	on	ADV
ejpam-3014	122	21	.	.	PUNCT
ejpam-3014	123	1	then	then	ADV
ejpam-3014	123	2	sup	sup	INTJ
ejpam-3014	123	3	(	(	PUNCT
ejpam-3014	123	4	r	r	NOUN
ejpam-3014	123	5	,	,	PUNCT
ejpam-3014	123	6	n	n	CCONJ
ejpam-3014	123	7	)	)	PUNCT
ejpam-3014	123	8	sm(r	sm(r	PUNCT
ejpam-3014	123	9	)	)	PUNCT
ejpam-3014	123	10	(	(	PUNCT
ejpam-3014	123	11	s1(r))m	s1(r))m	NOUN
ejpam-3014	123	12	=	=	SYM
ejpam-3014	123	13	1	1	NUM
ejpam-3014	123	14	m	m	NOUN
ejpam-3014	123	15	!	!	PROPN
ejpam-3014	123	16	,	,	PUNCT
ejpam-3014	123	17	obtained	obtain	VERB
ejpam-3014	123	18	for	for	ADP
ejpam-3014	123	19	r1	r1	NOUN
ejpam-3014	123	20	=	=	PUNCT
ejpam-3014	123	21	...	...	PUNCT
ejpam-3014	124	1	=	=	PUNCT
ejpam-3014	124	2	rn	rn	PROPN
ejpam-3014	124	3	=	=	PROPN
ejpam-3014	124	4	1	1	NUM
ejpam-3014	124	5	and	and	CCONJ
ejpam-3014	124	6	n→∞	n→∞	NUM
ejpam-3014	124	7	(	(	PUNCT
ejpam-3014	124	8	see	see	VERB
ejpam-3014	124	9	amer	amer	PROPN
ejpam-3014	124	10	.	.	PROPN
ejpam-3014	124	11	math	math	PROPN
ejpam-3014	124	12	.	.	PUNCT
ejpam-3014	125	1	monthly	monthly	ADJ
ejpam-3014	125	2	,	,	PUNCT
ejpam-3014	125	3	1976	1976	NUM
ejpam-3014	125	4	and	and	CCONJ
ejpam-3014	125	5	[	[	X
ejpam-3014	125	6	11	11	NUM
ejpam-3014	125	7	]	]	PUNCT
ejpam-3014	125	8	,	,	PUNCT
ejpam-3014	125	9	p.	p.	NOUN
ejpam-3014	125	10	66	66	NUM
ejpam-3014	125	11	)	)	PUNCT
ejpam-3014	125	12	.	.	PUNCT
ejpam-3014	126	1	the	the	DET
ejpam-3014	126	2	symmetric	symmetric	ADJ
ejpam-3014	126	3	reliability	reliability	NOUN
ejpam-3014	126	4	polynomials	polynomial	NOUN
ejpam-3014	126	5	determine	determine	VERB
ejpam-3014	126	6	canonically	canonically	ADV
ejpam-3014	126	7	the	the	DET
ejpam-3014	126	8	standard	standard	ADJ
ejpam-3014	126	9	polynomial	polynomial	ADJ
ejpam-3014	126	10	q(r	q(r	PROPN
ejpam-3014	126	11	,	,	PUNCT
ejpam-3014	126	12	t	t	PROPN
ejpam-3014	126	13	)	)	PUNCT
ejpam-3014	126	14	=	=	SYM
ejpam-3014	126	15	tn	tn	PROPN
ejpam-3014	126	16	−	−	PROPN
ejpam-3014	126	17	s1(r)tn−1	s1(r)tn−1	PROPN
ejpam-3014	127	1	+	+	CCONJ
ejpam-3014	127	2	s2(r)tn−2	s2(r)tn−2	PROPN
ejpam-3014	127	3	−	−	PROPN
ejpam-3014	127	4	...	...	PUNCT
ejpam-3014	127	5	±	±	PROPN
ejpam-3014	127	6	sn(r	sn(r	NUM
ejpam-3014	127	7	)	)	PUNCT
ejpam-3014	127	8	.	.	PUNCT
ejpam-3014	128	1	elementary	elementary	ADJ
ejpam-3014	128	2	tricks	trick	NOUN
ejpam-3014	128	3	shows	show	VERB
ejpam-3014	128	4	that	that	SCONJ
ejpam-3014	128	5	max	max	PROPN
ejpam-3014	128	6	sn(r	sn(r	PRON
ejpam-3014	128	7	)	)	PUNCT
ejpam-3014	128	8	subject	subject	ADJ
ejpam-3014	128	9	to	to	ADP
ejpam-3014	128	10	s1(r	s1(r	NOUN
ejpam-3014	128	11	)	)	PUNCT
ejpam-3014	128	12	=	=	SYM
ejpam-3014	128	13	1	1	NUM
ejpam-3014	128	14	is	be	AUX
ejpam-3014	128	15	attained	attain	VERB
ejpam-3014	128	16	for	for	ADP
ejpam-3014	128	17	r1	r1	NOUN
ejpam-3014	128	18	=	=	PUNCT
ejpam-3014	128	19	...	...	PUNCT
ejpam-3014	129	1	=	=	PUNCT
ejpam-3014	129	2	rn	rn	PROPN
ejpam-3014	129	3	=	=	PROPN
ejpam-3014	129	4	1	1	NUM
ejpam-3014	129	5	n	n	NOUN
ejpam-3014	129	6	.	.	PUNCT
ejpam-3014	130	1	moreover	moreover	ADV
ejpam-3014	130	2	,	,	PUNCT
ejpam-3014	130	3	max	max	PROPN
ejpam-3014	130	4	sk(r	sk(r	PROPN
ejpam-3014	130	5	)	)	PUNCT
ejpam-3014	130	6	,	,	PUNCT
ejpam-3014	131	1	k	k	PROPN
ejpam-3014	131	2	≥	≥	NUM
ejpam-3014	131	3	2	2	NUM
ejpam-3014	131	4	,	,	PUNCT
ejpam-3014	131	5	subject	subject	ADJ
ejpam-3014	131	6	to	to	ADP
ejpam-3014	131	7	s1(r	s1(r	NOUN
ejpam-3014	131	8	)	)	PUNCT
ejpam-3014	131	9	=	=	SYM
ejpam-3014	131	10	1	1	NUM
ejpam-3014	131	11	is	be	AUX
ejpam-3014	131	12	attained	attain	VERB
ejpam-3014	131	13	also	also	ADV
ejpam-3014	131	14	for	for	ADP
ejpam-3014	131	15	r1	r1	NOUN
ejpam-3014	131	16	=	=	PUNCT
ejpam-3014	131	17	...	...	PUNCT
ejpam-3014	132	1	=	=	PUNCT
ejpam-3014	132	2	rn	rn	PROPN
ejpam-3014	132	3	=	=	SYM
ejpam-3014	132	4	1	1	NUM
ejpam-3014	132	5	n	n	NOUN
ejpam-3014	132	6	and	and	CCONJ
ejpam-3014	132	7	it	it	PRON
ejpam-3014	132	8	is	be	AUX
ejpam-3014	132	9	equal	equal	ADJ
ejpam-3014	132	10	to	to	ADP
ejpam-3014	132	11	1	1	NUM
ejpam-3014	132	12	nk	nk	PROPN
ejpam-3014	132	13	ckn	ckn	NOUN
ejpam-3014	132	14	.	.	PUNCT
ejpam-3014	133	1	in	in	ADP
ejpam-3014	133	2	this	this	DET
ejpam-3014	133	3	way	way	NOUN
ejpam-3014	133	4	,	,	PUNCT
ejpam-3014	133	5	for	for	ADP
ejpam-3014	133	6	r1	r1	NOUN
ejpam-3014	133	7	=	=	PUNCT
ejpam-3014	133	8	...	...	PUNCT
ejpam-3014	134	1	=	=	PUNCT
ejpam-3014	134	2	rn	rn	PROPN
ejpam-3014	134	3	=	=	SYM
ejpam-3014	134	4	1	1	NUM
ejpam-3014	134	5	n	n	NOUN
ejpam-3014	134	6	we	we	PRON
ejpam-3014	134	7	obtain	obtain	VERB
ejpam-3014	134	8	an	an	DET
ejpam-3014	134	9	optimal	optimal	ADJ
ejpam-3014	134	10	polynomial	polynomial	ADJ
ejpam-3014	134	11	q(r	q(r	PROPN
ejpam-3014	134	12	,	,	PUNCT
ejpam-3014	134	13	t	t	PROPN
ejpam-3014	134	14	)	)	PUNCT
ejpam-3014	134	15	=	=	SYM
ejpam-3014	134	16	tn	tn	PROPN
ejpam-3014	134	17	−	−	PROPN
ejpam-3014	134	18	tn−1	tn−1	PROPN
ejpam-3014	135	1	+	+	PROPN
ejpam-3014	135	2	[	[	X
ejpam-3014	135	3	max	max	X
ejpam-3014	135	4	r	r	NOUN
ejpam-3014	135	5	s2(r)]tn−2	s2(r)]tn−2	PROPN
ejpam-3014	135	6	−	−	PROPN
ejpam-3014	135	7	...	...	PUNCT
ejpam-3014	135	8	±max	±max	ADJ
ejpam-3014	135	9	r	r	X
ejpam-3014	135	10	[	[	X
ejpam-3014	135	11	sn(r	sn(r	X
ejpam-3014	135	12	)	)	PUNCT
ejpam-3014	135	13	]	]	PUNCT
ejpam-3014	136	1	=	=	PUNCT
ejpam-3014	136	2	(	(	PUNCT
ejpam-3014	136	3	t−	t−	PROPN
ejpam-3014	136	4	1	1	NUM
ejpam-3014	136	5	n	n	NOUN
ejpam-3014	136	6	)	)	PUNCT
ejpam-3014	136	7	n	n	NOUN
ejpam-3014	136	8	.	.	PUNCT
ejpam-3014	137	1	s.	s.	PROPN
ejpam-3014	137	2	a.	a.	PROPN
ejpam-3014	137	3	abed	abed	PROPN
ejpam-3014	137	4	,	,	PUNCT
ejpam-3014	137	5	c.	c.	PROPN
ejpam-3014	137	6	udriste	udriste	PROPN
ejpam-3014	137	7	,	,	PUNCT
ejpam-3014	137	8	ionel	ionel	NOUN
ejpam-3014	137	9	tevy	tevy	PROPN
ejpam-3014	137	10	/	/	SYM
ejpam-3014	137	11	eur	eur	PROPN
ejpam-3014	137	12	.	.	PUNCT
ejpam-3014	138	1	j.	j.	PROPN
ejpam-3014	138	2	pure	pure	PROPN
ejpam-3014	138	3	appl	appl	PROPN
ejpam-3014	138	4	.	.	PROPN
ejpam-3014	138	5	math	math	PROPN
ejpam-3014	138	6	,	,	PUNCT
ejpam-3014	138	7	10	10	NUM
ejpam-3014	138	8	(	(	PUNCT
ejpam-3014	138	9	4	4	NUM
ejpam-3014	138	10	)	)	PUNCT
ejpam-3014	138	11	(	(	PUNCT
ejpam-3014	138	12	2017	2017	NUM
ejpam-3014	138	13	)	)	PUNCT
ejpam-3014	138	14	,	,	PUNCT
ejpam-3014	138	15	877	877	NUM
ejpam-3014	138	16	-	-	SYM
ejpam-3014	138	17	889	889	NUM
ejpam-3014	138	18	883	883	NUM
ejpam-3014	138	19	3.5	3.5	NUM
ejpam-3014	138	20	.	.	PUNCT
ejpam-3014	139	1	other	other	ADJ
ejpam-3014	139	2	significant	significant	ADJ
ejpam-3014	139	3	cost	cost	NOUN
ejpam-3014	139	4	models	model	NOUN
ejpam-3014	139	5	min	min	NOUN
ejpam-3014	139	6	r	r	NOUN
ejpam-3014	139	7	c(r	c(r	NOUN
ejpam-3014	139	8	)	)	PUNCT
ejpam-3014	140	1	=	=	SYM
ejpam-3014	140	2	r1	r1	PROPN
ejpam-3014	140	3	subject	subject	NOUN
ejpam-3014	140	4	to	to	ADP
ejpam-3014	140	5	r1	r1	PROPN
ejpam-3014	140	6	·	·	PUNCT
ejpam-3014	140	7	·	·	PUNCT
ejpam-3014	140	8	·	·	PUNCT
ejpam-3014	140	9	rn	rn	PROPN
ejpam-3014	140	10	≥	≥	PROPN
ejpam-3014	140	11	rg	rg	PROPN
ejpam-3014	140	12	.	.	PUNCT
ejpam-3014	140	13	full	full	ADJ
ejpam-3014	140	14	range	range	NOUN
ejpam-3014	140	15	bregman	bregman	NOUN
ejpam-3014	140	16	reliability	reliability	NOUN
ejpam-3014	140	17	function	function	NOUN
ejpam-3014	140	18	f(r	f(r	NOUN
ejpam-3014	140	19	)	)	PUNCT
ejpam-3014	141	1	=	=	PUNCT
ejpam-3014	142	1	n∑	n∑	NUM
ejpam-3014	142	2	i=1	i=1	PROPN
ejpam-3014	142	3	ri	ri	PROPN
ejpam-3014	142	4	lnri	lnri	PROPN
ejpam-3014	142	5	,	,	PUNCT
ejpam-3014	142	6	with	with	ADP
ejpam-3014	142	7	the	the	DET
ejpam-3014	142	8	convention	convention	NOUN
ejpam-3014	142	9	0	0	PUNCT
ejpam-3014	143	1	ln	ln	NOUN
ejpam-3014	143	2	0	0	NUM
ejpam-3014	144	1	=	=	SYM
ejpam-3014	144	2	0	0	PROPN
ejpam-3014	144	3	.	.	PUNCT
ejpam-3014	145	1	the	the	DET
ejpam-3014	145	2	entropy	entropy	PROPN
ejpam-3014	145	3	function	function	PROPN
ejpam-3014	145	4	h(r	h(r	PROPN
ejpam-3014	145	5	)	)	PUNCT
ejpam-3014	145	6	=	=	PUNCT
ejpam-3014	146	1	−	−	PROPN
ejpam-3014	146	2	n∑	n∑	NOUN
ejpam-3014	146	3	i=1	i=1	PROPN
ejpam-3014	146	4	ri	ri	PROPN
ejpam-3014	146	5	log2ri	log2ri	PROPN
ejpam-3014	146	6	,	,	PUNCT
ejpam-3014	146	7	0	0	PUNCT
ejpam-3014	146	8	<	<	X
ejpam-3014	146	9	ri	ri	X
ejpam-3014	146	10	<	<	X
ejpam-3014	146	11	1	1	NUM
ejpam-3014	146	12	,	,	PUNCT
ejpam-3014	146	13	n∑	n∑	NOUN
ejpam-3014	146	14	i=1	i=1	PROPN
ejpam-3014	146	15	ri	ri	PROPN
ejpam-3014	147	1	=	=	NOUN
ejpam-3014	147	2	1	1	PROPN
ejpam-3014	147	3	.	.	X
ejpam-3014	147	4	one	one	NUM
ejpam-3014	147	5	-	-	PUNCT
ejpam-3014	147	6	parameter	parameter	NOUN
ejpam-3014	147	7	families	family	NOUN
ejpam-3014	147	8	of	of	ADP
ejpam-3014	147	9	functions	function	NOUN
ejpam-3014	147	10	f	f	PROPN
ejpam-3014	147	11	∈	∈	PROPN
ejpam-3014	147	12	c∞([0	c∞([0	PROPN
ejpam-3014	147	13	,	,	PUNCT
ejpam-3014	147	14	1]n	1]n	NUM
ejpam-3014	147	15	×	×	NOUN
ejpam-3014	147	16	r	r	NOUN
ejpam-3014	147	17	,	,	PUNCT
ejpam-3014	147	18	r	r	NOUN
ejpam-3014	147	19	)	)	PUNCT
ejpam-3014	147	20	on	on	ADP
ejpam-3014	147	21	[	[	X
ejpam-3014	147	22	0	0	NUM
ejpam-3014	147	23	,	,	PUNCT
ejpam-3014	147	24	1]n	1]n	NUM
ejpam-3014	147	25	:	:	PUNCT
ejpam-3014	147	26	f	f	PROPN
ejpam-3014	147	27	(	(	PUNCT
ejpam-3014	147	28	r	r	NOUN
ejpam-3014	147	29	,	,	PUNCT
ejpam-3014	147	30	t	t	PROPN
ejpam-3014	147	31	)	)	PUNCT
ejpam-3014	147	32	=	=	SYM
ejpam-3014	147	33	1	1	NUM
ejpam-3014	147	34	3	3	NUM
ejpam-3014	147	35	r3	r3	PROPN
ejpam-3014	147	36	1	1	NUM
ejpam-3014	147	37	+	+	CCONJ
ejpam-3014	147	38	(	(	PUNCT
ejpam-3014	147	39	t2	t2	PROPN
ejpam-3014	147	40	−	−	PROPN
ejpam-3014	147	41	1)r1	1)r1	PROPN
ejpam-3014	147	42	+	+	CCONJ
ejpam-3014	147	43	n∑	n∑	ADJ
ejpam-3014	147	44	i=2	i=2	PROPN
ejpam-3014	147	45	r2	r2	PROPN
ejpam-3014	147	46	i	i	PRON
ejpam-3014	147	47	.	.	PUNCT
ejpam-3014	148	1	here	here	ADV
ejpam-3014	148	2	,	,	PUNCT
ejpam-3014	148	3	the	the	DET
ejpam-3014	148	4	set	set	NOUN
ejpam-3014	148	5	of	of	ADP
ejpam-3014	148	6	critical	critical	ADJ
ejpam-3014	148	7	points	point	NOUN
ejpam-3014	148	8	critf	critf	NOUN
ejpam-3014	148	9	=	=	SYM
ejpam-3014	148	10	{	{	PUNCT
ejpam-3014	148	11	(	(	PUNCT
ejpam-3014	148	12	r	r	NOUN
ejpam-3014	148	13	,	,	PUNCT
ejpam-3014	148	14	t	t	PROPN
ejpam-3014	148	15	)	)	PUNCT
ejpam-3014	148	16	∈	∈	PROPN
ejpam-3014	149	1	[	[	X
ejpam-3014	149	2	0	0	NUM
ejpam-3014	149	3	,	,	PUNCT
ejpam-3014	149	4	1]n	1]n	NUM
ejpam-3014	149	5	×	×	NOUN
ejpam-3014	149	6	r	r	NOUN
ejpam-3014	149	7	|	|	NOUN
ejpam-3014	149	8	r2	r2	PROPN
ejpam-3014	149	9	1	1	NUM
ejpam-3014	149	10	+	+	NUM
ejpam-3014	149	11	t2	t2	NOUN
ejpam-3014	149	12	=	=	SYM
ejpam-3014	149	13	1	1	NUM
ejpam-3014	149	14	,	,	PUNCT
ejpam-3014	149	15	ri	ri	NOUN
ejpam-3014	149	16	=	=	SYM
ejpam-3014	149	17	0	0	PROPN
ejpam-3014	149	18	,	,	PUNCT
ejpam-3014	149	19	i	i	PRON
ejpam-3014	149	20	=	=	NOUN
ejpam-3014	149	21	2	2	NUM
ejpam-3014	149	22	,	,	PUNCT
ejpam-3014	149	23	...	...	PUNCT
ejpam-3014	149	24	,	,	PUNCT
ejpam-3014	149	25	n	n	CCONJ
ejpam-3014	149	26	}	}	PUNCT
ejpam-3014	149	27	is	be	AUX
ejpam-3014	149	28	a	a	DET
ejpam-3014	149	29	circle	circle	NOUN
ejpam-3014	149	30	.	.	PUNCT
ejpam-3014	149	31	example	example	NOUN
ejpam-3014	150	1	1	1	NUM
ejpam-3014	150	2	.	.	PUNCT
ejpam-3014	151	1	as	as	ADP
ejpam-3014	151	2	an	an	DET
ejpam-3014	151	3	example	example	NOUN
ejpam-3014	151	4	,	,	PUNCT
ejpam-3014	151	5	consider	consider	VERB
ejpam-3014	151	6	the	the	DET
ejpam-3014	151	7	problem	problem	NOUN
ejpam-3014	151	8	of	of	ADP
ejpam-3014	151	9	minimizing	minimize	VERB
ejpam-3014	151	10	the	the	DET
ejpam-3014	151	11	geometric	geometric	ADJ
ejpam-3014	151	12	mean	mean	NOUN
ejpam-3014	151	13	with	with	ADP
ejpam-3014	151	14	a	a	DET
ejpam-3014	151	15	significative	significative	ADJ
ejpam-3014	151	16	(	(	PUNCT
ejpam-3014	151	17	non	non	ADJ
ejpam-3014	151	18	-	-	ADJ
ejpam-3014	151	19	trivial	trivial	ADJ
ejpam-3014	151	20	)	)	PUNCT
ejpam-3014	151	21	constraint	constraint	NOUN
ejpam-3014	151	22	.	.	PUNCT
ejpam-3014	152	1	explicitly	explicitly	ADV
ejpam-3014	152	2	,	,	PUNCT
ejpam-3014	152	3	find	find	VERB
ejpam-3014	152	4	min	min	NOUN
ejpam-3014	152	5	r	r	NOUN
ejpam-3014	152	6	c(r1	c(r1	NOUN
ejpam-3014	152	7	,	,	PUNCT
ejpam-3014	152	8	r2	r2	PROPN
ejpam-3014	152	9	,	,	PUNCT
ejpam-3014	152	10	r3	r3	PROPN
ejpam-3014	152	11	)	)	PUNCT
ejpam-3014	152	12	=	=	SYM
ejpam-3014	152	13	(	(	PUNCT
ejpam-3014	152	14	r1r2r3	r1r2r3	X
ejpam-3014	152	15	)	)	PUNCT
ejpam-3014	152	16	1/3	1/3	NUM
ejpam-3014	152	17	,	,	PUNCT
ejpam-3014	152	18	r	r	NOUN
ejpam-3014	152	19	=	=	SYM
ejpam-3014	152	20	(	(	PUNCT
ejpam-3014	152	21	r1	r1	PROPN
ejpam-3014	152	22	,	,	PUNCT
ejpam-3014	152	23	r2	r2	PROPN
ejpam-3014	152	24	,	,	PUNCT
ejpam-3014	152	25	r3	r3	PROPN
ejpam-3014	152	26	)	)	PUNCT
ejpam-3014	152	27	subject	subject	NOUN
ejpam-3014	152	28	to	to	ADP
ejpam-3014	152	29	(	(	PUNCT
ejpam-3014	152	30	1	1	NUM
ejpam-3014	152	31	+	+	CCONJ
ejpam-3014	152	32	max{r1	max{r1	NOUN
ejpam-3014	152	33	,	,	PUNCT
ejpam-3014	152	34	r2	r2	PROPN
ejpam-3014	152	35	}	}	PUNCT
ejpam-3014	152	36	)	)	PUNCT
ejpam-3014	152	37	(	(	PUNCT
ejpam-3014	152	38	1	1	NUM
ejpam-3014	152	39	+	+	NOUN
ejpam-3014	152	40	r1	r1	NOUN
ejpam-3014	152	41	+	+	CCONJ
ejpam-3014	152	42	(	(	PUNCT
ejpam-3014	152	43	0.1r1r	0.1r1r	ADJ
ejpam-3014	152	44	−0.5	−0.5	NUM
ejpam-3014	152	45	3	3	NUM
ejpam-3014	152	46	+	+	NOUN
ejpam-3014	152	47	r1.6	r1.6	NOUN
ejpam-3014	152	48	2	2	NUM
ejpam-3014	152	49	r0.4	r0.4	NOUN
ejpam-3014	152	50	3	3	NUM
ejpam-3014	152	51	)	)	PUNCT
ejpam-3014	152	52	1.5)1.7	1.5)1.7	NUM
ejpam-3014	152	53	≤	≤	NUM
ejpam-3014	152	54	1	1	NUM
ejpam-3014	152	55	,	,	PUNCT
ejpam-3014	152	56	with	with	ADP
ejpam-3014	152	57	variables	variable	NOUN
ejpam-3014	152	58	r1	r1	PROPN
ejpam-3014	152	59	,	,	PUNCT
ejpam-3014	152	60	r2	r2	PROPN
ejpam-3014	152	61	,	,	PUNCT
ejpam-3014	152	62	and	and	CCONJ
ejpam-3014	152	63	r3	r3	PROPN
ejpam-3014	152	64	.	.	PUNCT
ejpam-3014	153	1	we	we	PRON
ejpam-3014	153	2	transform	transform	VERB
ejpam-3014	153	3	the	the	DET
ejpam-3014	153	4	previous	previous	ADJ
ejpam-3014	153	5	problem	problem	NOUN
ejpam-3014	153	6	into	into	ADP
ejpam-3014	153	7	the	the	DET
ejpam-3014	153	8	problem	problem	NOUN
ejpam-3014	153	9	min	min	PROPN
ejpam-3014	153	10	t	t	PROPN
ejpam-3014	153	11	1/3	1/3	NUM
ejpam-3014	153	12	1	1	NUM
ejpam-3014	153	13	subject	subject	NOUN
ejpam-3014	153	14	to	to	ADP
ejpam-3014	153	15	r1r2r3	r1r2r3	PROPN
ejpam-3014	153	16	≤	≤	PROPN
ejpam-3014	153	17	t1	t1	PROPN
ejpam-3014	153	18	,	,	PUNCT
ejpam-3014	153	19	t2	t2	NOUN
ejpam-3014	153	20	·	·	PUNCT
ejpam-3014	153	21	t1.73	t1.73	PROPN
ejpam-3014	153	22	≤	≤	NUM
ejpam-3014	153	23	1	1	NUM
ejpam-3014	153	24	1	1	NUM
ejpam-3014	153	25	+	+	NUM
ejpam-3014	153	26	r1	r1	ADJ
ejpam-3014	153	27	≤	≤	ADJ
ejpam-3014	153	28	t2	t2	NOUN
ejpam-3014	153	29	,	,	PUNCT
ejpam-3014	153	30	1	1	NUM
ejpam-3014	153	31	+	+	NOUN
ejpam-3014	153	32	r2	r2	NOUN
ejpam-3014	153	33	≤	≤	ADJ
ejpam-3014	153	34	t2	t2	NOUN
ejpam-3014	153	35	1	1	NUM
ejpam-3014	154	1	+	+	NOUN
ejpam-3014	154	2	r1	r1	NOUN
ejpam-3014	154	3	+	+	CCONJ
ejpam-3014	154	4	t1.54	t1.54	PROPN
ejpam-3014	154	5	≤	≤	NUM
ejpam-3014	154	6	t3	t3	PROPN
ejpam-3014	154	7	,	,	PUNCT
ejpam-3014	154	8	0.1r1r	0.1r1r	ADJ
ejpam-3014	154	9	−0.5	−0.5	NUM
ejpam-3014	154	10	3	3	NUM
ejpam-3014	154	11	+	+	NOUN
ejpam-3014	154	12	r1.6	r1.6	NOUN
ejpam-3014	154	13	2	2	NUM
ejpam-3014	154	14	r0.4	r0.4	NOUN
ejpam-3014	154	15	3	3	NUM
ejpam-3014	154	16	≤	≤	PROPN
ejpam-3014	154	17	t4	t4	PROPN
ejpam-3014	154	18	,	,	PUNCT
ejpam-3014	154	19	s.	s.	PROPN
ejpam-3014	154	20	a.	a.	PROPN
ejpam-3014	154	21	abed	abed	PROPN
ejpam-3014	154	22	,	,	PUNCT
ejpam-3014	154	23	c.	c.	PROPN
ejpam-3014	154	24	udriste	udriste	PROPN
ejpam-3014	154	25	,	,	PUNCT
ejpam-3014	154	26	ionel	ionel	NOUN
ejpam-3014	154	27	tevy	tevy	PROPN
ejpam-3014	154	28	/	/	SYM
ejpam-3014	154	29	eur	eur	PROPN
ejpam-3014	154	30	.	.	PUNCT
ejpam-3014	155	1	j.	j.	PROPN
ejpam-3014	155	2	pure	pure	PROPN
ejpam-3014	155	3	appl	appl	PROPN
ejpam-3014	155	4	.	.	PROPN
ejpam-3014	155	5	math	math	PROPN
ejpam-3014	155	6	,	,	PUNCT
ejpam-3014	155	7	10	10	NUM
ejpam-3014	155	8	(	(	PUNCT
ejpam-3014	155	9	4	4	NUM
ejpam-3014	155	10	)	)	PUNCT
ejpam-3014	155	11	(	(	PUNCT
ejpam-3014	155	12	2017	2017	NUM
ejpam-3014	155	13	)	)	PUNCT
ejpam-3014	155	14	,	,	PUNCT
ejpam-3014	155	15	877	877	NUM
ejpam-3014	155	16	-	-	SYM
ejpam-3014	155	17	889	889	NUM
ejpam-3014	155	18	884	884	NUM
ejpam-3014	155	19	where	where	SCONJ
ejpam-3014	155	20	the	the	DET
ejpam-3014	155	21	variables	variable	NOUN
ejpam-3014	155	22	are	be	AUX
ejpam-3014	155	23	r1	r1	NOUN
ejpam-3014	155	24	,	,	PUNCT
ejpam-3014	155	25	r2	r2	PROPN
ejpam-3014	155	26	,	,	PUNCT
ejpam-3014	155	27	r3	r3	PROPN
ejpam-3014	155	28	,	,	PUNCT
ejpam-3014	155	29	t1	t1	NOUN
ejpam-3014	155	30	,	,	PUNCT
ejpam-3014	155	31	t2	t2	NOUN
ejpam-3014	155	32	,	,	PUNCT
ejpam-3014	155	33	t3	t3	PROPN
ejpam-3014	155	34	and	and	CCONJ
ejpam-3014	155	35	t4	t4	PROPN
ejpam-3014	155	36	.	.	PUNCT
ejpam-3014	156	1	this	this	DET
ejpam-3014	156	2	method	method	NOUN
ejpam-3014	156	3	for	for	ADP
ejpam-3014	156	4	handling	handle	VERB
ejpam-3014	156	5	positive	positive	ADJ
ejpam-3014	156	6	fractional	fractional	ADJ
ejpam-3014	156	7	powers	power	NOUN
ejpam-3014	156	8	can	can	AUX
ejpam-3014	156	9	be	be	AUX
ejpam-3014	156	10	applied	apply	VERB
ejpam-3014	156	11	recursively	recursively	ADV
ejpam-3014	156	12	.	.	PUNCT
ejpam-3014	157	1	using	use	VERB
ejpam-3014	157	2	some	some	DET
ejpam-3014	157	3	simple	simple	ADJ
ejpam-3014	157	4	transformations	transformation	NOUN
ejpam-3014	157	5	,	,	PUNCT
ejpam-3014	157	6	we	we	PRON
ejpam-3014	157	7	obtain	obtain	VERB
ejpam-3014	157	8	the	the	DET
ejpam-3014	157	9	equivalent	equivalent	ADJ
ejpam-3014	157	10	standard	standard	ADJ
ejpam-3014	157	11	form	form	NOUN
ejpam-3014	157	12	as	as	ADP
ejpam-3014	157	13	geometric	geometric	ADJ
ejpam-3014	157	14	program	program	NOUN
ejpam-3014	157	15	:	:	PUNCT
ejpam-3014	158	1	min	min	PROPN
ejpam-3014	158	2	t	t	PROPN
ejpam-3014	158	3	1/3	1/3	NUM
ejpam-3014	158	4	1	1	NUM
ejpam-3014	158	5	subject	subject	NOUN
ejpam-3014	158	6	to	to	ADP
ejpam-3014	158	7	t−11	t−11	PROPN
ejpam-3014	158	8	r1r2r3	r1r2r3	PROPN
ejpam-3014	158	9	≤	≤	PROPN
ejpam-3014	158	10	1	1	NUM
ejpam-3014	158	11	,	,	PUNCT
ejpam-3014	158	12	t2	t2	NOUN
ejpam-3014	158	13	·	·	PUNCT
ejpam-3014	158	14	t1.73	t1.73	PROPN
ejpam-3014	158	15	≤	≤	NOUN
ejpam-3014	158	16	1	1	NUM
ejpam-3014	158	17	t−12	t−12	NOUN
ejpam-3014	158	18	(	(	PUNCT
ejpam-3014	158	19	1	1	NUM
ejpam-3014	158	20	+	+	NOUN
ejpam-3014	158	21	r1	r1	NOUN
ejpam-3014	158	22	)	)	PUNCT
ejpam-3014	158	23	≤	≤	NUM
ejpam-3014	158	24	1	1	NUM
ejpam-3014	158	25	,	,	PUNCT
ejpam-3014	158	26	t−12	t−12	NOUN
ejpam-3014	158	27	(	(	PUNCT
ejpam-3014	158	28	1	1	NUM
ejpam-3014	158	29	+	+	NOUN
ejpam-3014	158	30	r2	r2	NOUN
ejpam-3014	158	31	)	)	PUNCT
ejpam-3014	158	32	≤	≤	NUM
ejpam-3014	158	33	1	1	NUM
ejpam-3014	158	34	t−13	t−13	NOUN
ejpam-3014	158	35	(	(	PUNCT
ejpam-3014	158	36	1	1	NUM
ejpam-3014	158	37	+	+	NOUN
ejpam-3014	158	38	r1	r1	NOUN
ejpam-3014	158	39	+	+	CCONJ
ejpam-3014	158	40	t1.54	t1.54	PROPN
ejpam-3014	158	41	)	)	PUNCT
ejpam-3014	158	42	≤	≤	NOUN
ejpam-3014	158	43	1	1	NUM
ejpam-3014	158	44	,	,	PUNCT
ejpam-3014	158	45	t−14	t−14	PROPN
ejpam-3014	158	46	(	(	PUNCT
ejpam-3014	158	47	0.1r1r	0.1r1r	NOUN
ejpam-3014	158	48	−0.5	−0.5	NUM
ejpam-3014	158	49	3	3	NUM
ejpam-3014	158	50	+	+	NOUN
ejpam-3014	158	51	r1.6	r1.6	NOUN
ejpam-3014	158	52	2	2	NUM
ejpam-3014	158	53	r0.4	r0.4	NOUN
ejpam-3014	158	54	3	3	NUM
ejpam-3014	158	55	)	)	PUNCT
ejpam-3014	158	56	≤	≤	NUM
ejpam-3014	158	57	1	1	NUM
ejpam-3014	158	58	.	.	PUNCT
ejpam-3014	159	1	the	the	DET
ejpam-3014	159	2	matrix	matrix	NOUN
ejpam-3014	159	3	of	of	ADP
ejpam-3014	159	4	exponents	exponent	NOUN
ejpam-3014	159	5	is	be	AUX
ejpam-3014	159	6	a	a	DET
ejpam-3014	159	7	=	=	PUNCT
ejpam-3014	159	8			ADJ
ejpam-3014	159	9	0	0	NUM
ejpam-3014	159	10	1	1	NUM
ejpam-3014	159	11	0	0	NUM
ejpam-3014	159	12	0	0	NUM
ejpam-3014	159	13	...	...	PUNCT
ejpam-3014	159	14	0	0	NUM
ejpam-3014	160	1	1	1	NUM
ejpam-3014	160	2	0	0	NUM
ejpam-3014	160	3	0	0	NUM
ejpam-3014	160	4	1	1	NUM
ejpam-3014	160	5	0	0	NUM
ejpam-3014	160	6	0	0	NUM
ejpam-3014	160	7	...	...	PUNCT
ejpam-3014	161	1	0	0	NUM
ejpam-3014	161	2	0	0	NUM
ejpam-3014	162	1	1.6	1.6	NUM
ejpam-3014	162	2	0	0	NUM
ejpam-3014	162	3	1	1	NUM
ejpam-3014	162	4	0	0	NUM
ejpam-3014	162	5	0	0	NUM
ejpam-3014	162	6	...	...	PUNCT
ejpam-3014	162	7	0	0	PUNCT
ejpam-3014	163	1	−0.5	−0.5	NUM
ejpam-3014	163	2	0.4	0.4	NUM
ejpam-3014	163	3	1/3	1/3	NUM
ejpam-3014	163	4	−1	−1	NOUN
ejpam-3014	163	5	0	0	NUM
ejpam-3014	163	6	0	0	NUM
ejpam-3014	163	7	...	...	PUNCT
ejpam-3014	163	8	0	0	NUM
ejpam-3014	163	9	0	0	NUM
ejpam-3014	163	10	0	0	NUM
ejpam-3014	163	11	0	0	NUM
ejpam-3014	163	12	0	0	NUM
ejpam-3014	163	13	1	1	NUM
ejpam-3014	163	14	−1	−1	NOUN
ejpam-3014	163	15	...	...	PUNCT
ejpam-3014	163	16	0	0	NUM
ejpam-3014	164	1	0	0	NUM
ejpam-3014	164	2	0	0	NUM
ejpam-3014	164	3	0	0	NUM
ejpam-3014	164	4	0	0	NUM
ejpam-3014	164	5	1.7	1.7	NUM
ejpam-3014	164	6	0	0	NUM
ejpam-3014	164	7	...	...	PUNCT
ejpam-3014	164	8	−1	−1	NOUN
ejpam-3014	164	9	0	0	NUM
ejpam-3014	164	10	0	0	NUM
ejpam-3014	164	11	0	0	NUM
ejpam-3014	164	12	0	0	NUM
ejpam-3014	164	13	0	0	NUM
ejpam-3014	164	14	0	0	NUM
ejpam-3014	164	15	...	...	PUNCT
ejpam-3014	164	16	1.5	1.5	NUM
ejpam-3014	164	17	−1	−1	NOUN
ejpam-3014	164	18	−1	−1	NOUN
ejpam-3014	164	19			PROPN
ejpam-3014	164	20	.	.	PUNCT
ejpam-3014	165	1	since	since	SCONJ
ejpam-3014	165	2	the	the	DET
ejpam-3014	165	3	degree	degree	NOUN
ejpam-3014	165	4	of	of	ADP
ejpam-3014	165	5	difficulty	difficulty	NOUN
ejpam-3014	165	6	is	be	AUX
ejpam-3014	165	7	12	12	NUM
ejpam-3014	165	8	−	−	NOUN
ejpam-3014	165	9	7	7	NUM
ejpam-3014	165	10	−	−	PROPN
ejpam-3014	165	11	1	1	NUM
ejpam-3014	165	12	=	=	SYM
ejpam-3014	165	13	4	4	NUM
ejpam-3014	165	14	,	,	PUNCT
ejpam-3014	165	15	the	the	DET
ejpam-3014	165	16	solution	solution	NOUN
ejpam-3014	165	17	is	be	AUX
ejpam-3014	165	18	not	not	PART
ejpam-3014	165	19	unique	unique	ADJ
ejpam-3014	165	20	(	(	PUNCT
ejpam-3014	165	21	depends	depend	VERB
ejpam-3014	165	22	on	on	ADP
ejpam-3014	165	23	4	4	NUM
ejpam-3014	165	24	parameters	parameter	NOUN
ejpam-3014	165	25	)	)	PUNCT
ejpam-3014	165	26	.	.	PUNCT
ejpam-3014	166	1	the	the	DET
ejpam-3014	166	2	dual	dual	ADJ
ejpam-3014	166	3	function	function	NOUN
ejpam-3014	166	4	is	be	AUX
ejpam-3014	166	5	p	p	NOUN
ejpam-3014	166	6	(	(	PUNCT
ejpam-3014	166	7	λ	λ	PROPN
ejpam-3014	166	8	,	,	PUNCT
ejpam-3014	166	9	α	α	NOUN
ejpam-3014	166	10	)	)	PUNCT
ejpam-3014	166	11	=	=	SYM
ejpam-3014	166	12	(	(	PUNCT
ejpam-3014	166	13	1	1	NUM
ejpam-3014	166	14	α1	α1	PROPN
ejpam-3014	166	15	)	)	PUNCT
ejpam-3014	166	16	α1	α1	PROPN
ejpam-3014	166	17	(	(	PUNCT
ejpam-3014	166	18	1	1	NUM
ejpam-3014	166	19	α2	α2	ADJ
ejpam-3014	166	20	)	)	PUNCT
ejpam-3014	166	21	α2	α2	ADJ
ejpam-3014	166	22	(	(	PUNCT
ejpam-3014	166	23	1	1	NUM
ejpam-3014	166	24	α3	α3	NOUN
ejpam-3014	166	25	)	)	PUNCT
ejpam-3014	166	26	α3	α3	NOUN
ejpam-3014	166	27	(	(	PUNCT
ejpam-3014	166	28	1	1	NUM
ejpam-3014	166	29	α4	α4	NOUN
ejpam-3014	166	30	)	)	PUNCT
ejpam-3014	166	31	α4	α4	NOUN
ejpam-3014	166	32	(	(	PUNCT
ejpam-3014	166	33	1	1	NUM
ejpam-3014	166	34	α5	α5	NOUN
ejpam-3014	166	35	)	)	PUNCT
ejpam-3014	166	36	α5	α5	NOUN
ejpam-3014	166	37	(	(	PUNCT
ejpam-3014	166	38	1	1	NUM
ejpam-3014	166	39	α6	α6	NOUN
ejpam-3014	166	40	)	)	PUNCT
ejpam-3014	166	41	α6	α6	NOUN
ejpam-3014	166	42	(	(	PUNCT
ejpam-3014	166	43	1	1	NUM
ejpam-3014	166	44	α7	α7	NOUN
ejpam-3014	166	45	)	)	PUNCT
ejpam-3014	166	46	α7	α7	NOUN
ejpam-3014	166	47	×	×	NOUN
ejpam-3014	166	48	(	(	PUNCT
ejpam-3014	166	49	1	1	NUM
ejpam-3014	166	50	α8	α8	NOUN
ejpam-3014	166	51	)	)	PUNCT
ejpam-3014	166	52	α8	α8	NOUN
ejpam-3014	166	53	(	(	PUNCT
ejpam-3014	166	54	1	1	NUM
ejpam-3014	166	55	α9	α9	NOUN
ejpam-3014	166	56	)	)	PUNCT
ejpam-3014	166	57	α9	α9	PROPN
ejpam-3014	166	58	(	(	PUNCT
ejpam-3014	166	59	1	1	NUM
ejpam-3014	166	60	α10	α10	NOUN
ejpam-3014	166	61	)	)	PUNCT
ejpam-3014	166	62	α10	α10	NOUN
ejpam-3014	166	63	(	(	PUNCT
ejpam-3014	166	64	0.1	0.1	NUM
ejpam-3014	166	65	α11	α11	NOUN
ejpam-3014	166	66	)	)	PUNCT
ejpam-3014	166	67	α11	α11	NOUN
ejpam-3014	166	68	(	(	PUNCT
ejpam-3014	166	69	1	1	NUM
ejpam-3014	166	70	α12	α12	NOUN
ejpam-3014	166	71	)	)	PUNCT
ejpam-3014	166	72	α12	α12	PROPN
ejpam-3014	166	73	×αα1	×αα1	NOUN
ejpam-3014	166	74	1	1	NUM
ejpam-3014	166	75	αα2	αα2	NOUN
ejpam-3014	166	76	2	2	NUM
ejpam-3014	166	77	αα3	αα3	NOUN
ejpam-3014	166	78	3	3	NUM
ejpam-3014	166	79	(	(	PUNCT
ejpam-3014	166	80	α4	α4	NOUN
ejpam-3014	166	81	+	+	CCONJ
ejpam-3014	166	82	α5	α5	NOUN
ejpam-3014	166	83	)	)	PUNCT
ejpam-3014	166	84	(	(	PUNCT
ejpam-3014	166	85	α4+α5	α4+α5	PROPN
ejpam-3014	166	86	)	)	PUNCT
ejpam-3014	166	87	(	(	PUNCT
ejpam-3014	166	88	α6	α6	NOUN
ejpam-3014	166	89	+	+	CCONJ
ejpam-3014	166	90	α7	α7	NOUN
ejpam-3014	166	91	)	)	PUNCT
ejpam-3014	166	92	(	(	PUNCT
ejpam-3014	166	93	α6+α7	α6+α7	NOUN
ejpam-3014	166	94	)	)	PUNCT
ejpam-3014	166	95	×	×	NOUN
ejpam-3014	166	96	(	(	PUNCT
ejpam-3014	166	97	α8	α8	NOUN
ejpam-3014	166	98	+	+	CCONJ
ejpam-3014	166	99	α9	α9	PROPN
ejpam-3014	166	100	+	+	CCONJ
ejpam-3014	166	101	α10	α10	NOUN
ejpam-3014	166	102	)	)	PUNCT
ejpam-3014	166	103	(	(	PUNCT
ejpam-3014	166	104	α8+α9+α10	α8+α9+α10	X
ejpam-3014	166	105	)	)	PUNCT
ejpam-3014	166	106	(	(	PUNCT
ejpam-3014	166	107	α11	α11	NOUN
ejpam-3014	166	108	+	+	CCONJ
ejpam-3014	166	109	α12	α12	ADJ
ejpam-3014	166	110	)	)	PUNCT
ejpam-3014	166	111	(	(	PUNCT
ejpam-3014	166	112	α11+α12	α11+α12	NOUN
ejpam-3014	166	113	)	)	PUNCT
ejpam-3014	166	114	.	.	PUNCT
ejpam-3014	167	1	the	the	DET
ejpam-3014	167	2	associated	associated	ADJ
ejpam-3014	167	3	dual	dual	ADJ
ejpam-3014	167	4	program	program	NOUN
ejpam-3014	167	5	can	can	AUX
ejpam-3014	167	6	be	be	AUX
ejpam-3014	167	7	written	write	VERB
ejpam-3014	167	8	max	max	PROPN
ejpam-3014	167	9	α	α	PROPN
ejpam-3014	167	10	p	p	X
ejpam-3014	167	11	(	(	PUNCT
ejpam-3014	167	12	λ	λ	PROPN
ejpam-3014	167	13	,	,	PUNCT
ejpam-3014	167	14	α	α	NOUN
ejpam-3014	167	15	)	)	PUNCT
ejpam-3014	167	16	subject	subject	NOUN
ejpam-3014	167	17	to	to	ADP
ejpam-3014	167	18	α1	α1	PROPN
ejpam-3014	167	19	=	=	SYM
ejpam-3014	167	20	1	1	NUM
ejpam-3014	167	21	(	(	PUNCT
ejpam-3014	167	22	normality	normality	NOUN
ejpam-3014	167	23	)	)	PUNCT
ejpam-3014	167	24	,	,	PUNCT
ejpam-3014	167	25	aα	aα	NOUN
ejpam-3014	168	1	=	=	NOUN
ejpam-3014	168	2	0	0	NUM
ejpam-3014	168	3	,	,	PUNCT
ejpam-3014	168	4	α	α	NOUN
ejpam-3014	168	5	=	=	SYM
ejpam-3014	168	6	(	(	PUNCT
ejpam-3014	168	7	α1	α1	PROPN
ejpam-3014	168	8	,	,	PUNCT
ejpam-3014	168	9	...	...	PUNCT
ejpam-3014	168	10	,	,	PUNCT
ejpam-3014	168	11	αn)t	αn)t	PROPN
ejpam-3014	168	12	(	(	PUNCT
ejpam-3014	168	13	orthogonality	orthogonality	NOUN
ejpam-3014	168	14	)	)	PUNCT
ejpam-3014	168	15	.	.	PUNCT
ejpam-3014	169	1	α2	α2	PROPN
ejpam-3014	169	2	+	+	CCONJ
ejpam-3014	169	3	α5	α5	PROPN
ejpam-3014	170	1	+	+	CCONJ
ejpam-3014	170	2	α9	α9	NOUN
ejpam-3014	170	3	+	+	CCONJ
ejpam-3014	170	4	α11	α11	NOUN
ejpam-3014	170	5	=	=	SYM
ejpam-3014	170	6	0	0	NUM
ejpam-3014	170	7	,	,	PUNCT
ejpam-3014	170	8	α2	α2	PROPN
ejpam-3014	170	9	+	+	CCONJ
ejpam-3014	170	10	α7	α7	NOUN
ejpam-3014	171	1	+	+	CCONJ
ejpam-3014	171	2	1.6α12	1.6α12	NUM
ejpam-3014	171	3	=	=	SYM
ejpam-3014	171	4	0	0	NUM
ejpam-3014	171	5	,	,	PUNCT
ejpam-3014	171	6	α2	α2	ADJ
ejpam-3014	171	7	−	−	ADP
ejpam-3014	171	8	0.5α11	0.5α11	NUM
ejpam-3014	171	9	+	+	SYM
ejpam-3014	171	10	0.4α12	0.4α12	NUM
ejpam-3014	171	11	=	=	SYM
ejpam-3014	171	12	0	0	NUM
ejpam-3014	171	13	,	,	PUNCT
ejpam-3014	171	14	1/3α1	1/3α1	NUM
ejpam-3014	171	15	−	−	NOUN
ejpam-3014	171	16	α2	α2	NOUN
ejpam-3014	171	17	=	=	SYM
ejpam-3014	171	18	0	0	NUM
ejpam-3014	171	19	,	,	PUNCT
ejpam-3014	171	20	α3	α3	ADJ
ejpam-3014	171	21	−	−	PROPN
ejpam-3014	171	22	α4	α4	NOUN
ejpam-3014	171	23	−	−	PROPN
ejpam-3014	171	24	α5	α5	PROPN
ejpam-3014	171	25	−	−	PROPN
ejpam-3014	171	26	α6	α6	NOUN
ejpam-3014	171	27	−	−	PROPN
ejpam-3014	171	28	α7	α7	NOUN
ejpam-3014	171	29	=	=	SYM
ejpam-3014	171	30	0	0	NUM
ejpam-3014	171	31	,	,	PUNCT
ejpam-3014	171	32	1.7α3	1.7α3	NUM
ejpam-3014	171	33	−	−	PROPN
ejpam-3014	172	1	α8	α8	NOUN
ejpam-3014	173	1	−	−	PROPN
ejpam-3014	173	2	α9	α9	PROPN
ejpam-3014	173	3	−	−	PROPN
ejpam-3014	173	4	α10	α10	NOUN
ejpam-3014	173	5	=	=	SYM
ejpam-3014	173	6	0	0	NUM
ejpam-3014	173	7	,	,	PUNCT
ejpam-3014	173	8	1.5α10	1.5α10	NUM
ejpam-3014	173	9	−	−	NOUN
ejpam-3014	173	10	α11	α11	NOUN
ejpam-3014	173	11	−	−	PROPN
ejpam-3014	173	12	α12	α12	PROPN
ejpam-3014	173	13	=	=	SYM
ejpam-3014	173	14	0	0	PROPN
ejpam-3014	173	15	.	.	PUNCT
ejpam-3014	174	1	s.	s.	PROPN
ejpam-3014	174	2	a.	a.	PROPN
ejpam-3014	174	3	abed	abed	PROPN
ejpam-3014	174	4	,	,	PUNCT
ejpam-3014	174	5	c.	c.	PROPN
ejpam-3014	174	6	udriste	udriste	PROPN
ejpam-3014	174	7	,	,	PUNCT
ejpam-3014	174	8	ionel	ionel	NOUN
ejpam-3014	174	9	tevy	tevy	PROPN
ejpam-3014	174	10	/	/	SYM
ejpam-3014	174	11	eur	eur	PROPN
ejpam-3014	174	12	.	.	PUNCT
ejpam-3014	175	1	j.	j.	PROPN
ejpam-3014	175	2	pure	pure	PROPN
ejpam-3014	175	3	appl	appl	PROPN
ejpam-3014	175	4	.	.	PROPN
ejpam-3014	175	5	math	math	PROPN
ejpam-3014	175	6	,	,	PUNCT
ejpam-3014	175	7	10	10	NUM
ejpam-3014	175	8	(	(	PUNCT
ejpam-3014	175	9	4	4	NUM
ejpam-3014	175	10	)	)	PUNCT
ejpam-3014	175	11	(	(	PUNCT
ejpam-3014	175	12	2017	2017	NUM
ejpam-3014	175	13	)	)	PUNCT
ejpam-3014	175	14	,	,	PUNCT
ejpam-3014	175	15	877	877	NUM
ejpam-3014	175	16	-	-	SYM
ejpam-3014	175	17	889	889	NUM
ejpam-3014	175	18	885	885	NUM
ejpam-3014	175	19	solving	solve	VERB
ejpam-3014	175	20	the	the	DET
ejpam-3014	175	21	previous	previous	ADJ
ejpam-3014	175	22	system	system	NOUN
ejpam-3014	175	23	,	,	PUNCT
ejpam-3014	175	24	we	we	PRON
ejpam-3014	175	25	obtain	obtain	VERB
ejpam-3014	175	26	α1	α1	NOUN
ejpam-3014	175	27	,	,	PUNCT
ejpam-3014	175	28	α2	α2	ADJ
ejpam-3014	175	29	,	,	PUNCT
ejpam-3014	175	30	...	...	PUNCT
ejpam-3014	175	31	,	,	PUNCT
ejpam-3014	175	32	α12	α12	PROPN
ejpam-3014	175	33	.	.	PUNCT
ejpam-3014	176	1	now	now	ADV
ejpam-3014	176	2	calculate	calculate	VERB
ejpam-3014	176	3	p	p	NOUN
ejpam-3014	176	4	∗	∗	NOUN
ejpam-3014	176	5	and	and	CCONJ
ejpam-3014	176	6	u1	u1	PROPN
ejpam-3014	176	7	=	=	SYM
ejpam-3014	176	8	t	t	PROPN
ejpam-3014	176	9	1/3	1/3	NUM
ejpam-3014	176	10	1	1	NUM
ejpam-3014	176	11	=	=	SYM
ejpam-3014	176	12	α1	α1	PROPN
ejpam-3014	176	13	p	p	NOUN
ejpam-3014	176	14	∗	∗	NOUN
ejpam-3014	176	15	,	,	PUNCT
ejpam-3014	176	16	u2	u2	PROPN
ejpam-3014	176	17	=	=	PUNCT
ejpam-3014	176	18	t−11	t−11	PROPN
ejpam-3014	176	19	r1r2r3	r1r2r3	PROPN
ejpam-3014	176	20	=	=	SYM
ejpam-3014	176	21	α2	α2	PROPN
ejpam-3014	176	22	p	p	NOUN
ejpam-3014	176	23	∗	∗	NOUN
ejpam-3014	176	24	,	,	PUNCT
ejpam-3014	176	25	u3	u3	NOUN
ejpam-3014	176	26	=	=	SYM
ejpam-3014	176	27	t2	t2	PROPN
ejpam-3014	176	28	t	t	PROPN
ejpam-3014	176	29	1.7	1.7	NUM
ejpam-3014	176	30	3	3	NUM
ejpam-3014	176	31	=	=	SYM
ejpam-3014	176	32	α3	α3	NOUN
ejpam-3014	176	33	p	p	NOUN
ejpam-3014	176	34	∗	∗	NOUN
ejpam-3014	176	35	,	,	PUNCT
ejpam-3014	176	36	u4	u4	PROPN
ejpam-3014	176	37	=	=	PUNCT
ejpam-3014	176	38	t−12	t−12	PROPN
ejpam-3014	176	39	=	=	SYM
ejpam-3014	176	40	α4	α4	NOUN
ejpam-3014	176	41	p	p	NOUN
ejpam-3014	176	42	∗	∗	NOUN
ejpam-3014	176	43	,	,	PUNCT
ejpam-3014	176	44	u5	u5	PROPN
ejpam-3014	176	45	=	=	PUNCT
ejpam-3014	176	46	t−12	t−12	PROPN
ejpam-3014	176	47	r1	r1	NOUN
ejpam-3014	176	48	=	=	PROPN
ejpam-3014	176	49	α5	α5	PROPN
ejpam-3014	176	50	p	p	NOUN
ejpam-3014	176	51	∗	∗	NOUN
ejpam-3014	176	52	,	,	PUNCT
ejpam-3014	176	53	u6	u6	NOUN
ejpam-3014	176	54	=	=	SYM
ejpam-3014	176	55	t−12	t−12	NOUN
ejpam-3014	176	56	=	=	SYM
ejpam-3014	176	57	α6	α6	PROPN
ejpam-3014	176	58	p	p	PROPN
ejpam-3014	176	59	∗	∗	NOUN
ejpam-3014	176	60	,	,	PUNCT
ejpam-3014	176	61	u7	u7	PROPN
ejpam-3014	176	62	=	=	PUNCT
ejpam-3014	176	63	t−12	t−12	PROPN
ejpam-3014	176	64	r2	r2	NOUN
ejpam-3014	176	65	=	=	SYM
ejpam-3014	176	66	α7	α7	PROPN
ejpam-3014	176	67	p	p	NOUN
ejpam-3014	176	68	∗	∗	NOUN
ejpam-3014	176	69	,	,	PUNCT
ejpam-3014	176	70	u8	u8	PROPN
ejpam-3014	176	71	=	=	SYM
ejpam-3014	176	72	t−13	t−13	X
ejpam-3014	176	73	=	=	SYM
ejpam-3014	177	1	α8	α8	NOUN
ejpam-3014	177	2	p	p	NOUN
ejpam-3014	177	3	∗	∗	NOUN
ejpam-3014	177	4	,	,	PUNCT
ejpam-3014	177	5	u9	u9	PROPN
ejpam-3014	177	6	=	=	PUNCT
ejpam-3014	177	7	t−13	t−13	PROPN
ejpam-3014	177	8	r1	r1	NOUN
ejpam-3014	178	1	=	=	PUNCT
ejpam-3014	178	2	α9	α9	PROPN
ejpam-3014	178	3	p	p	NOUN
ejpam-3014	178	4	∗	∗	NOUN
ejpam-3014	178	5	,	,	PUNCT
ejpam-3014	178	6	u10	u10	PROPN
ejpam-3014	178	7	=	=	SYM
ejpam-3014	178	8	t−13	t−13	X
ejpam-3014	178	9	t1.54	t1.54	X
ejpam-3014	178	10	=	=	SYM
ejpam-3014	178	11	α10	α10	NOUN
ejpam-3014	178	12	p	p	NOUN
ejpam-3014	178	13	∗	∗	NOUN
ejpam-3014	178	14	,	,	PUNCT
ejpam-3014	178	15	u11	u11	PROPN
ejpam-3014	178	16	=	=	SYM
ejpam-3014	178	17	0.1t−14	0.1t−14	NUM
ejpam-3014	178	18	r1r	r1r	PROPN
ejpam-3014	178	19	−0.5	−0.5	PROPN
ejpam-3014	178	20	3	3	NUM
ejpam-3014	178	21	=	=	SYM
ejpam-3014	178	22	α11	α11	NOUN
ejpam-3014	178	23	p	p	NOUN
ejpam-3014	178	24	∗	∗	NOUN
ejpam-3014	178	25	,	,	PUNCT
ejpam-3014	178	26	u12	u12	PROPN
ejpam-3014	178	27	=	=	SYM
ejpam-3014	178	28	t−14	t−14	PROPN
ejpam-3014	178	29	r1.6	r1.6	NOUN
ejpam-3014	178	30	2	2	NUM
ejpam-3014	178	31	r0.4	r0.4	NOUN
ejpam-3014	178	32	3	3	NUM
ejpam-3014	178	33	=	=	SYM
ejpam-3014	178	34	α12	α12	PROPN
ejpam-3014	178	35	p	p	X
ejpam-3014	178	36	∗.	∗.	PROPN
ejpam-3014	178	37	to	to	PART
ejpam-3014	178	38	solve	solve	VERB
ejpam-3014	178	39	this	this	DET
ejpam-3014	178	40	system	system	NOUN
ejpam-3014	178	41	,	,	PUNCT
ejpam-3014	178	42	we	we	PRON
ejpam-3014	178	43	use	use	VERB
ejpam-3014	178	44	the	the	DET
ejpam-3014	178	45	logarithm	logarithm	NOUN
ejpam-3014	178	46	,	,	PUNCT
ejpam-3014	178	47	and	and	CCONJ
ejpam-3014	178	48	we	we	PRON
ejpam-3014	178	49	denote	denote	VERB
ejpam-3014	178	50	ωi	ωi	NOUN
ejpam-3014	178	51	=	=	SYM
ejpam-3014	178	52	lnri	lnri	PROPN
ejpam-3014	178	53	,	,	PUNCT
ejpam-3014	178	54	βi	βi	PRON
ejpam-3014	178	55	=	=	SYM
ejpam-3014	178	56	ln	ln	ADJ
ejpam-3014	179	1	ti	ti	NOUN
ejpam-3014	179	2	:(	:(	SYM
ejpam-3014	179	3	1	1	NUM
ejpam-3014	179	4	3	3	X
ejpam-3014	179	5	)	)	PUNCT
ejpam-3014	179	6	β1	β1	NOUN
ejpam-3014	179	7	=	=	PUNCT
ejpam-3014	179	8	ln	ln	X
ejpam-3014	179	9	(	(	PUNCT
ejpam-3014	179	10	α1p	α1p	NOUN
ejpam-3014	179	11	∗	∗	NOUN
ejpam-3014	179	12	)	)	PUNCT
ejpam-3014	179	13	=	=	SYM
ejpam-3014	179	14	m1	m1	NOUN
ejpam-3014	179	15	,	,	PUNCT
ejpam-3014	179	16	ω1	ω1	PROPN
ejpam-3014	179	17	+	+	CCONJ
ejpam-3014	179	18	ω2	ω2	ADJ
ejpam-3014	179	19	+	+	CCONJ
ejpam-3014	179	20	ω3	ω3	PROPN
ejpam-3014	179	21	−	−	PROPN
ejpam-3014	179	22	β1	β1	PROPN
ejpam-3014	179	23	=	=	PUNCT
ejpam-3014	179	24	ln	ln	NOUN
ejpam-3014	179	25	(	(	PUNCT
ejpam-3014	179	26	α2p	α2p	NUM
ejpam-3014	179	27	∗	∗	NOUN
ejpam-3014	179	28	)	)	PUNCT
ejpam-3014	179	29	=	=	SYM
ejpam-3014	179	30	m2	m2	PROPN
ejpam-3014	179	31	,	,	PUNCT
ejpam-3014	179	32	β1	β1	PROPN
ejpam-3014	179	33	+	+	CCONJ
ejpam-3014	179	34	1.7β2	1.7β2	NUM
ejpam-3014	179	35	=	=	SYM
ejpam-3014	179	36	ln	ln	NOUN
ejpam-3014	179	37	(	(	PUNCT
ejpam-3014	179	38	α3	α3	NOUN
ejpam-3014	179	39	p	p	NOUN
ejpam-3014	179	40	∗	∗	NOUN
ejpam-3014	179	41	)	)	PUNCT
ejpam-3014	179	42	=	=	SYM
ejpam-3014	179	43	m3	m3	PROPN
ejpam-3014	179	44	,	,	PUNCT
ejpam-3014	179	45	−β2	−β2	PROPN
ejpam-3014	179	46	=	=	SYM
ejpam-3014	179	47	ln	ln	PROPN
ejpam-3014	179	48	(	(	PUNCT
ejpam-3014	179	49	α4	α4	NOUN
ejpam-3014	179	50	p	p	NOUN
ejpam-3014	179	51	∗	∗	NOUN
ejpam-3014	179	52	)	)	PUNCT
ejpam-3014	179	53	=	=	SYM
ejpam-3014	179	54	m4	m4	PROPN
ejpam-3014	179	55	ω1	ω1	PROPN
ejpam-3014	179	56	−	−	PROPN
ejpam-3014	179	57	β2	β2	NOUN
ejpam-3014	179	58	=	=	NOUN
ejpam-3014	179	59	ln	ln	NOUN
ejpam-3014	179	60	(	(	PUNCT
ejpam-3014	179	61	α5	α5	NOUN
ejpam-3014	179	62	p	p	NOUN
ejpam-3014	179	63	∗	∗	NOUN
ejpam-3014	179	64	)	)	PUNCT
ejpam-3014	179	65	=	=	SYM
ejpam-3014	179	66	m5	m5	NOUN
ejpam-3014	179	67	,	,	PUNCT
ejpam-3014	179	68	−β2	−β2	PROPN
ejpam-3014	179	69	=	=	SYM
ejpam-3014	179	70	ln	ln	ADJ
ejpam-3014	179	71	(	(	PUNCT
ejpam-3014	179	72	α6	α6	NOUN
ejpam-3014	179	73	p	p	NOUN
ejpam-3014	179	74	∗	∗	NOUN
ejpam-3014	179	75	)	)	PUNCT
ejpam-3014	179	76	=	=	SYM
ejpam-3014	179	77	m6	m6	PROPN
ejpam-3014	179	78	,	,	PUNCT
ejpam-3014	179	79	ω2	ω2	ADV
ejpam-3014	179	80	−	−	PROPN
ejpam-3014	180	1	β2	β2	NOUN
ejpam-3014	181	1	=	=	NOUN
ejpam-3014	182	1	ln	ln	NOUN
ejpam-3014	183	1	(	(	PUNCT
ejpam-3014	183	2	α7	α7	NOUN
ejpam-3014	183	3	p	p	NOUN
ejpam-3014	183	4	∗	∗	NOUN
ejpam-3014	183	5	)	)	PUNCT
ejpam-3014	184	1	=	=	SYM
ejpam-3014	184	2	m7	m7	PROPN
ejpam-3014	184	3	,	,	PUNCT
ejpam-3014	184	4	−β3	−β3	NOUN
ejpam-3014	184	5	=	=	PUNCT
ejpam-3014	184	6	ln	ln	NOUN
ejpam-3014	184	7	(	(	PUNCT
ejpam-3014	184	8	α8	α8	NOUN
ejpam-3014	184	9	p	p	NOUN
ejpam-3014	184	10	∗	∗	NOUN
ejpam-3014	184	11	)	)	PUNCT
ejpam-3014	184	12	=	=	SYM
ejpam-3014	184	13	m8	m8	PROPN
ejpam-3014	184	14	,	,	PUNCT
ejpam-3014	184	15	ω1	ω1	PROPN
ejpam-3014	184	16	−	−	PROPN
ejpam-3014	184	17	β3	β3	PROPN
ejpam-3014	184	18	=	=	SYM
ejpam-3014	184	19	ln	ln	NOUN
ejpam-3014	185	1	(	(	PUNCT
ejpam-3014	185	2	α9	α9	NOUN
ejpam-3014	185	3	p	p	NOUN
ejpam-3014	185	4	∗	∗	NOUN
ejpam-3014	185	5	)	)	PUNCT
ejpam-3014	185	6	=	=	SYM
ejpam-3014	185	7	m9	m9	PROPN
ejpam-3014	185	8	,	,	PUNCT
ejpam-3014	185	9	1.5β4	1.5β4	NUM
ejpam-3014	185	10	−	−	NOUN
ejpam-3014	185	11	β3	β3	PROPN
ejpam-3014	185	12	=	=	SYM
ejpam-3014	185	13	ln	ln	ADJ
ejpam-3014	185	14	(	(	PUNCT
ejpam-3014	185	15	α10	α10	NOUN
ejpam-3014	185	16	p	p	NOUN
ejpam-3014	185	17	∗	∗	NOUN
ejpam-3014	185	18	)	)	PUNCT
ejpam-3014	185	19	=	=	SYM
ejpam-3014	185	20	m10	m10	PROPN
ejpam-3014	185	21	,	,	PUNCT
ejpam-3014	185	22	ω1	ω1	PROPN
ejpam-3014	185	23	−	−	PROPN
ejpam-3014	185	24	0.5ω3	0.5ω3	NUM
ejpam-3014	185	25	−	−	PROPN
ejpam-3014	186	1	β4	β4	PROPN
ejpam-3014	186	2	=	=	SYM
ejpam-3014	186	3	ln	ln	PROPN
ejpam-3014	186	4	(	(	PUNCT
ejpam-3014	186	5	α11	α11	NOUN
ejpam-3014	186	6	p	p	NOUN
ejpam-3014	186	7	∗	∗	X
ejpam-3014	186	8	0.1	0.1	NUM
ejpam-3014	186	9	)	)	PUNCT
ejpam-3014	187	1	=	=	SYM
ejpam-3014	187	2	m11	m11	NOUN
ejpam-3014	187	3	,	,	PUNCT
ejpam-3014	187	4	1.6ω2	1.6ω2	NUM
ejpam-3014	187	5	+	+	CCONJ
ejpam-3014	187	6	0.4ω3	0.4ω3	NUM
ejpam-3014	187	7	−	−	PROPN
ejpam-3014	188	1	β4	β4	PROPN
ejpam-3014	188	2	=	=	SYM
ejpam-3014	188	3	ln	ln	PROPN
ejpam-3014	188	4	(	(	PUNCT
ejpam-3014	188	5	α12	α12	NOUN
ejpam-3014	188	6	p	p	NOUN
ejpam-3014	188	7	∗	∗	NOUN
ejpam-3014	188	8	)	)	PUNCT
ejpam-3014	189	1	=	=	SYM
ejpam-3014	189	2	m12	m12	PROPN
ejpam-3014	189	3	.	.	PUNCT
ejpam-3014	190	1	we	we	PRON
ejpam-3014	190	2	find	find	VERB
ejpam-3014	190	3	ω1	ω1	PROPN
ejpam-3014	190	4	,	,	PUNCT
ejpam-3014	190	5	ω2	ω2	ADJ
ejpam-3014	190	6	,	,	PUNCT
ejpam-3014	190	7	ω3	ω3	NOUN
ejpam-3014	190	8	,	,	PUNCT
ejpam-3014	190	9	β1	β1	PROPN
ejpam-3014	190	10	,	,	PUNCT
ejpam-3014	190	11	β2	β2	NOUN
ejpam-3014	190	12	,	,	PUNCT
ejpam-3014	190	13	β3,β4	β3,β4	PROPN
ejpam-3014	190	14	and	and	CCONJ
ejpam-3014	190	15	r1	r1	PROPN
ejpam-3014	190	16	=	=	PUNCT
ejpam-3014	190	17	exp(ω1	exp(ω1	ADV
ejpam-3014	190	18	)	)	PUNCT
ejpam-3014	190	19	,	,	PUNCT
ejpam-3014	190	20	r2	r2	PROPN
ejpam-3014	190	21	=	=	SYM
ejpam-3014	190	22	exp(ω2	exp(ω2	PROPN
ejpam-3014	190	23	)	)	PUNCT
ejpam-3014	190	24	,	,	PUNCT
ejpam-3014	190	25	r3	r3	PROPN
ejpam-3014	190	26	=	=	SYM
ejpam-3014	190	27	exp(ω3	exp(ω3	PROPN
ejpam-3014	190	28	)	)	PUNCT
ejpam-3014	190	29	,	,	PUNCT
ejpam-3014	190	30	t1	t1	NOUN
ejpam-3014	190	31	=	=	PUNCT
ejpam-3014	190	32	exp(β1	exp(β1	NOUN
ejpam-3014	190	33	)	)	PUNCT
ejpam-3014	190	34	,	,	PUNCT
ejpam-3014	190	35	t2	t2	NOUN
ejpam-3014	190	36	=	=	SYM
ejpam-3014	190	37	exp(β2	exp(β2	PROPN
ejpam-3014	190	38	)	)	PUNCT
ejpam-3014	190	39	,	,	PUNCT
ejpam-3014	190	40	t3	t3	PROPN
ejpam-3014	190	41	=	=	SYM
ejpam-3014	190	42	exp(β3	exp(β3	PROPN
ejpam-3014	190	43	)	)	PUNCT
ejpam-3014	190	44	,	,	PUNCT
ejpam-3014	190	45	t4	t4	PROPN
ejpam-3014	190	46	=	=	SYM
ejpam-3014	190	47	exp(β4	exp(β4	PROPN
ejpam-3014	190	48	)	)	PUNCT
ejpam-3014	190	49	.	.	PUNCT
ejpam-3014	191	1	the	the	DET
ejpam-3014	191	2	problem	problem	NOUN
ejpam-3014	191	3	has	have	VERB
ejpam-3014	191	4	solution	solution	NOUN
ejpam-3014	191	5	if	if	SCONJ
ejpam-3014	191	6	and	and	CCONJ
ejpam-3014	191	7	only	only	ADV
ejpam-3014	191	8	if	if	SCONJ
ejpam-3014	191	9	ω1	ω1	PROPN
ejpam-3014	191	10	<	<	X
ejpam-3014	191	11	0	0	PROPN
ejpam-3014	191	12	,	,	PUNCT
ejpam-3014	191	13	ω2	ω2	ADV
ejpam-3014	191	14	<	<	X
ejpam-3014	191	15	0	0	PROPN
ejpam-3014	191	16	,	,	PUNCT
ejpam-3014	191	17	ω3	ω3	VERB
ejpam-3014	191	18	<	<	X
ejpam-3014	191	19	0	0	NUM
ejpam-3014	191	20	.	.	NOUN
ejpam-3014	192	1	4	4	NUM
ejpam-3014	192	2	.	.	X
ejpam-3014	192	3	dualities	duality	NOUN
ejpam-3014	192	4	between	between	ADP
ejpam-3014	192	5	reliability	reliability	NOUN
ejpam-3014	192	6	systems	system	NOUN
ejpam-3014	192	7	and	and	CCONJ
ejpam-3014	192	8	electric	electric	ADJ
ejpam-3014	192	9	circuits	circuit	NOUN
ejpam-3014	192	10	to	to	PART
ejpam-3014	192	11	identify	identify	VERB
ejpam-3014	192	12	a	a	DET
ejpam-3014	192	13	reliability	reliability	NOUN
ejpam-3014	192	14	system	system	NOUN
ejpam-3014	192	15	with	with	ADP
ejpam-3014	192	16	an	an	DET
ejpam-3014	192	17	electric	electric	ADJ
ejpam-3014	192	18	circuit	circuit	NOUN
ejpam-3014	192	19	,	,	PUNCT
ejpam-3014	192	20	we	we	PRON
ejpam-3014	192	21	use	use	VERB
ejpam-3014	192	22	the	the	DET
ejpam-3014	192	23	following	following	ADJ
ejpam-3014	192	24	variables	variable	NOUN
ejpam-3014	192	25	:	:	PUNCT
ejpam-3014	192	26	ri	ri	NOUN
ejpam-3014	192	27	,	,	PUNCT
ejpam-3014	192	28	i	i	NOUN
ejpam-3014	192	29	=	=	NOUN
ejpam-3014	192	30	1	1	NUM
ejpam-3014	192	31	,	,	PUNCT
ejpam-3014	192	32	...	...	PUNCT
ejpam-3014	192	33	,	,	PUNCT
ejpam-3014	192	34	n	n	CCONJ
ejpam-3014	192	35	,	,	PUNCT
ejpam-3014	192	36	are	be	AUX
ejpam-3014	192	37	reliabilities	reliability	NOUN
ejpam-3014	192	38	for	for	ADP
ejpam-3014	192	39	a	a	DET
ejpam-3014	192	40	series	series	NOUN
ejpam-3014	192	41	system	system	NOUN
ejpam-3014	192	42	;	;	PUNCT
ejpam-3014	192	43	ri	ri	X
ejpam-3014	192	44	,	,	PUNCT
ejpam-3014	192	45	i	i	NOUN
ejpam-3014	192	46	=	=	NOUN
ejpam-3014	192	47	1	1	NUM
ejpam-3014	192	48	,	,	PUNCT
ejpam-3014	192	49	...	...	PUNCT
ejpam-3014	192	50	,	,	PUNCT
ejpam-3014	192	51	n	n	CCONJ
ejpam-3014	192	52	,	,	PUNCT
ejpam-3014	192	53	are	be	AUX
ejpam-3014	192	54	reliabilities	reliability	NOUN
ejpam-3014	192	55	for	for	ADP
ejpam-3014	192	56	a	a	DET
ejpam-3014	192	57	parallel	parallel	ADJ
ejpam-3014	192	58	system	system	NOUN
ejpam-3014	192	59	;	;	PUNCT
ejpam-3014	192	60	ρi	ρi	X
ejpam-3014	192	61	,	,	PUNCT
ejpam-3014	192	62	i	i	NOUN
ejpam-3014	192	63	=	=	NOUN
ejpam-3014	192	64	1	1	NUM
ejpam-3014	192	65	,	,	PUNCT
ejpam-3014	192	66	...	...	PUNCT
ejpam-3014	192	67	,	,	PUNCT
ejpam-3014	192	68	n	n	CCONJ
ejpam-3014	192	69	,	,	PUNCT
ejpam-3014	192	70	are	be	AUX
ejpam-3014	192	71	resistances	resistance	NOUN
ejpam-3014	192	72	for	for	ADP
ejpam-3014	192	73	electrical	electrical	ADJ
ejpam-3014	192	74	series	series	NOUN
ejpam-3014	192	75	circuit	circuit	NOUN
ejpam-3014	192	76	;	;	PUNCT
ejpam-3014	192	77	ηi	ηi	PROPN
ejpam-3014	192	78	,	,	PUNCT
ejpam-3014	192	79	i	i	NOUN
ejpam-3014	192	80	=	=	NOUN
ejpam-3014	192	81	1	1	NUM
ejpam-3014	192	82	,	,	PUNCT
ejpam-3014	192	83	...	...	PUNCT
ejpam-3014	192	84	,	,	PUNCT
ejpam-3014	192	85	n	n	CCONJ
ejpam-3014	192	86	,	,	PUNCT
ejpam-3014	192	87	are	be	AUX
ejpam-3014	192	88	resistances	resistance	NOUN
ejpam-3014	192	89	for	for	ADP
ejpam-3014	192	90	electrical	electrical	ADJ
ejpam-3014	192	91	parallel	parallel	ADJ
ejpam-3014	192	92	circuit	circuit	NOUN
ejpam-3014	192	93	.	.	PUNCT
ejpam-3014	193	1	mental	mental	ADJ
ejpam-3014	193	2	experiments	experiment	NOUN
ejpam-3014	193	3	in	in	ADP
ejpam-3014	193	4	this	this	DET
ejpam-3014	193	5	section	section	NOUN
ejpam-3014	193	6	suggest	suggest	VERB
ejpam-3014	193	7	a	a	DET
ejpam-3014	193	8	clear	clear	ADJ
ejpam-3014	193	9	mathematical	mathematical	ADJ
ejpam-3014	193	10	relationship	relationship	NOUN
ejpam-3014	193	11	between	between	ADP
ejpam-3014	193	12	total	total	ADJ
ejpam-3014	193	13	circuit	circuit	NOUN
ejpam-3014	193	14	resistance	resistance	NOUN
ejpam-3014	193	15	and	and	CCONJ
ejpam-3014	193	16	total	total	ADJ
ejpam-3014	193	17	reliability	reliability	NOUN
ejpam-3014	193	18	of	of	ADP
ejpam-3014	193	19	a	a	DET
ejpam-3014	193	20	system	system	NOUN
ejpam-3014	193	21	.	.	PUNCT
ejpam-3014	194	1	proposition	proposition	NOUN
ejpam-3014	194	2	1	1	NUM
ejpam-3014	194	3	.	.	PUNCT
ejpam-3014	195	1	the	the	DET
ejpam-3014	195	2	total	total	ADJ
ejpam-3014	195	3	reliability	reliability	NOUN
ejpam-3014	195	4	of	of	ADP
ejpam-3014	195	5	a	a	DET
ejpam-3014	195	6	series	series	NOUN
ejpam-3014	195	7	/	/	SYM
ejpam-3014	195	8	parallel	parallel	ADJ
ejpam-3014	195	9	system	system	NOUN
ejpam-3014	195	10	is	be	AUX
ejpam-3014	195	11	a	a	DET
ejpam-3014	195	12	copy	copy	NOUN
ejpam-3014	195	13	of	of	ADP
ejpam-3014	195	14	the	the	DET
ejpam-3014	195	15	first	first	ADJ
ejpam-3014	195	16	/	/	SYM
ejpam-3014	195	17	second	second	ADJ
ejpam-3014	195	18	ohm	ohm	NOUN
ejpam-3014	195	19	law	law	NOUN
ejpam-3014	195	20	for	for	ADP
ejpam-3014	195	21	an	an	DET
ejpam-3014	195	22	electric	electric	ADJ
ejpam-3014	195	23	circuit	circuit	NOUN
ejpam-3014	195	24	,	,	PUNCT
ejpam-3014	195	25	via	via	ADP
ejpam-3014	195	26	logarithmic	logarithmic	ADJ
ejpam-3014	195	27	scale	scale	NOUN
ejpam-3014	195	28	.	.	PUNCT
ejpam-3014	196	1	s.	s.	PROPN
ejpam-3014	196	2	a.	a.	PROPN
ejpam-3014	196	3	abed	abed	PROPN
ejpam-3014	196	4	,	,	PUNCT
ejpam-3014	196	5	c.	c.	PROPN
ejpam-3014	196	6	udriste	udriste	PROPN
ejpam-3014	196	7	,	,	PUNCT
ejpam-3014	196	8	ionel	ionel	NOUN
ejpam-3014	196	9	tevy	tevy	PROPN
ejpam-3014	196	10	/	/	SYM
ejpam-3014	196	11	eur	eur	PROPN
ejpam-3014	196	12	.	.	PUNCT
ejpam-3014	197	1	j.	j.	PROPN
ejpam-3014	197	2	pure	pure	PROPN
ejpam-3014	197	3	appl	appl	PROPN
ejpam-3014	197	4	.	.	PROPN
ejpam-3014	197	5	math	math	PROPN
ejpam-3014	197	6	,	,	PUNCT
ejpam-3014	197	7	10	10	NUM
ejpam-3014	197	8	(	(	PUNCT
ejpam-3014	197	9	4	4	NUM
ejpam-3014	197	10	)	)	PUNCT
ejpam-3014	197	11	(	(	PUNCT
ejpam-3014	197	12	2017	2017	NUM
ejpam-3014	197	13	)	)	PUNCT
ejpam-3014	197	14	,	,	PUNCT
ejpam-3014	197	15	877	877	NUM
ejpam-3014	197	16	-	-	SYM
ejpam-3014	197	17	889	889	NUM
ejpam-3014	197	18	886	886	NUM
ejpam-3014	197	19	proof	proof	NOUN
ejpam-3014	197	20	.	.	PUNCT
ejpam-3014	198	1	to	to	PART
ejpam-3014	198	2	find	find	VERB
ejpam-3014	198	3	dualities	duality	NOUN
ejpam-3014	198	4	between	between	ADP
ejpam-3014	198	5	reliability	reliability	NOUN
ejpam-3014	198	6	systems	system	NOUN
ejpam-3014	198	7	and	and	CCONJ
ejpam-3014	198	8	electric	electric	ADJ
ejpam-3014	198	9	circuits	circuit	NOUN
ejpam-3014	198	10	we	we	PRON
ejpam-3014	198	11	compare	compare	VERB
ejpam-3014	198	12	some	some	DET
ejpam-3014	198	13	diagrams	diagram	NOUN
ejpam-3014	198	14	.	.	PUNCT
ejpam-3014	199	1	we	we	PRON
ejpam-3014	199	2	remark	remark	VERB
ejpam-3014	199	3	that	that	SCONJ
ejpam-3014	199	4	the	the	DET
ejpam-3014	199	5	commutative	commutative	ADJ
ejpam-3014	199	6	set	set	VERB
ejpam-3014	199	7	diagram	diagram	NOUN
ejpam-3014	199	8	[	[	X
ejpam-3014	199	9	0	0	NUM
ejpam-3014	199	10	,	,	PUNCT
ejpam-3014	199	11	1]n	1]n	NUM
ejpam-3014	199	12	=	=	SYM
ejpam-3014	199	13	{	{	PUNCT
ejpam-3014	199	14	(	(	PUNCT
ejpam-3014	199	15	r1	r1	PROPN
ejpam-3014	199	16	,	,	PUNCT
ejpam-3014	199	17	...	...	PUNCT
ejpam-3014	199	18	,	,	PUNCT
ejpam-3014	199	19	rn	rn	PROPN
ejpam-3014	199	20	)	)	PUNCT
ejpam-3014	199	21	}	}	PUNCT
ejpam-3014	199	22	ρi=−	ρi=−	NOUN
ejpam-3014	199	23	lnri−→	lnri−→	PROPN
ejpam-3014	199	24	rn+	rn+	NOUN
ejpam-3014	199	25	=	=	SYM
ejpam-3014	199	26	{	{	PUNCT
ejpam-3014	199	27	(	(	PUNCT
ejpam-3014	199	28	ρ1	ρ1	NOUN
ejpam-3014	199	29	,	,	PUNCT
ejpam-3014	199	30	...	...	PUNCT
ejpam-3014	199	31	,	,	PUNCT
ejpam-3014	199	32	ρn	ρn	PROPN
ejpam-3014	199	33	)	)	PUNCT
ejpam-3014	199	34	}	}	PUNCT
ejpam-3014	199	35	ri	ri	NOUN
ejpam-3014	200	1	=	=	SYM
ejpam-3014	200	2	1−	1−	NUM
ejpam-3014	200	3	ri	ri	NOUN
ejpam-3014	201	1	↑↓	↑↓	X
ejpam-3014	201	2	↑↓	↑↓	X
ejpam-3014	201	3	ρi	ρi	NOUN
ejpam-3014	201	4	=	=	SYM
ejpam-3014	201	5	1	1	NUM
ejpam-3014	201	6	ηi	ηi	NOUN
ejpam-3014	202	1	[	[	X
ejpam-3014	202	2	0	0	NUM
ejpam-3014	202	3	,	,	PUNCT
ejpam-3014	202	4	1]n	1]n	NUM
ejpam-3014	202	5	=	=	SYM
ejpam-3014	202	6	{	{	PUNCT
ejpam-3014	202	7	(	(	PUNCT
ejpam-3014	202	8	r1	r1	PROPN
ejpam-3014	202	9	,	,	PUNCT
ejpam-3014	202	10	...	...	PUNCT
ejpam-3014	202	11	,	,	PUNCT
ejpam-3014	202	12	rn	rn	PROPN
ejpam-3014	202	13	)	)	PUNCT
ejpam-3014	202	14	}	}	PUNCT
ejpam-3014	202	15	ηi=−	ηi=−	PROPN
ejpam-3014	202	16	ln(1−ri)−→	ln(1−ri)−→	NOUN
ejpam-3014	202	17	rn+	rn+	VERB
ejpam-3014	202	18	=	=	SYM
ejpam-3014	202	19	(	(	PUNCT
ejpam-3014	202	20	η1	η1	NOUN
ejpam-3014	202	21	,	,	PUNCT
ejpam-3014	202	22	...	...	PUNCT
ejpam-3014	202	23	,	,	PUNCT
ejpam-3014	202	24	ηn	ηn	ADJ
ejpam-3014	202	25	)	)	PUNCT
ejpam-3014	202	26	induces	induce	VERB
ejpam-3014	202	27	a	a	DET
ejpam-3014	202	28	commutative	commutative	ADJ
ejpam-3014	202	29	function	function	NOUN
ejpam-3014	202	30	diagram	diagram	NOUN
ejpam-3014	202	31	rs	rs	NOUN
ejpam-3014	203	1	=	=	PUNCT
ejpam-3014	203	2	∏n	∏n	ADJ
ejpam-3014	203	3	i=1ri	i=1ri	VERB
ejpam-3014	203	4	ρ=−	ρ=−	ADJ
ejpam-3014	203	5	lnr−→	lnr−→	NOUN
ejpam-3014	203	6	ρs	ρs	NOUN
ejpam-3014	204	1	=	=	SYM
ejpam-3014	205	1	∑n	∑n	PROPN
ejpam-3014	206	1	i=1	i=1	PROPN
ejpam-3014	206	2	ρi	ρi	NOUN
ejpam-3014	206	3	r	r	NOUN
ejpam-3014	206	4	=	=	SYM
ejpam-3014	206	5	1−	1−	NUM
ejpam-3014	206	6	r	r	NOUN
ejpam-3014	206	7	↑↓	↑↓	X
ejpam-3014	206	8	↑↓	↑↓	X
ejpam-3014	206	9	ρ	ρ	NOUN
ejpam-3014	206	10	=	=	SYM
ejpam-3014	206	11	1	1	NUM
ejpam-3014	206	12	η	η	NOUN
ejpam-3014	206	13	rp	rp	NOUN
ejpam-3014	206	14	=	=	SYM
ejpam-3014	206	15	1−	1−	NUM
ejpam-3014	206	16	∏n	∏n	PROPN
ejpam-3014	206	17	i=1(1−	i=1(1−	PROPN
ejpam-3014	206	18	ri	ri	PROPN
ejpam-3014	206	19	)	)	PUNCT
ejpam-3014	206	20	η=−	η=−	NOUN
ejpam-3014	206	21	ln(1−r)−→	ln(1−r)−→	PRON
ejpam-3014	206	22	ηp	ηp	NOUN
ejpam-3014	206	23	=	=	PROPN
ejpam-3014	207	1	1∑n	1∑n	NUM
ejpam-3014	207	2	i=1	i=1	NUM
ejpam-3014	207	3	1	1	NUM
ejpam-3014	207	4	ηi	ηi	NOUN
ejpam-3014	207	5	we	we	PRON
ejpam-3014	207	6	remark	remark	VERB
ejpam-3014	207	7	that	that	SCONJ
ejpam-3014	207	8	the	the	DET
ejpam-3014	207	9	first	first	ADJ
ejpam-3014	207	10	line	line	NOUN
ejpam-3014	207	11	describes	describe	VERB
ejpam-3014	207	12	series	series	PROPN
ejpam-3014	207	13	systems	system	NOUN
ejpam-3014	207	14	logarithmic	logarithmic	ADJ
ejpam-3014	207	15	scale	scale	NOUN
ejpam-3014	207	16	series	series	NOUN
ejpam-3014	207	17	circuits	circuit	NOUN
ejpam-3014	207	18	,	,	PUNCT
ejpam-3014	207	19	while	while	SCONJ
ejpam-3014	207	20	the	the	DET
ejpam-3014	207	21	second	second	ADJ
ejpam-3014	207	22	line	line	NOUN
ejpam-3014	207	23	describes	describe	VERB
ejpam-3014	207	24	parallel	parallel	ADJ
ejpam-3014	207	25	systems	system	NOUN
ejpam-3014	207	26	logarithmic	logarithmic	ADJ
ejpam-3014	207	27	scale	scale	NOUN
ejpam-3014	207	28	parallel	parallel	ADJ
ejpam-3014	207	29	circuits	circuit	NOUN
ejpam-3014	207	30	,	,	PUNCT
ejpam-3014	207	31	both	both	PRON
ejpam-3014	207	32	connected	connect	VERB
ejpam-3014	207	33	by	by	ADP
ejpam-3014	207	34	changing	change	VERB
ejpam-3014	207	35	the	the	DET
ejpam-3014	207	36	variables	variable	NOUN
ejpam-3014	207	37	(	(	PUNCT
ejpam-3014	207	38	involutions	involution	NOUN
ejpam-3014	207	39	)	)	PUNCT
ejpam-3014	207	40	.	.	PUNCT
ejpam-3014	208	1	individually	individually	ADV
ejpam-3014	208	2	,	,	PUNCT
ejpam-3014	208	3	we	we	PRON
ejpam-3014	208	4	have	have	VERB
ejpam-3014	208	5	the	the	DET
ejpam-3014	208	6	commutative	commutative	ADJ
ejpam-3014	208	7	diagrams	diagram	NOUN
ejpam-3014	208	8	[	[	X
ejpam-3014	208	9	0	0	NUM
ejpam-3014	208	10	,	,	PUNCT
ejpam-3014	208	11	1]n	1]n	NUM
ejpam-3014	208	12	rs	rs	X
ejpam-3014	208	13	=	=	PRON
ejpam-3014	208	14	r1···rn−→	r1···rn−→	NOUN
ejpam-3014	209	1	[	[	X
ejpam-3014	209	2	0	0	NUM
ejpam-3014	209	3	,	,	PUNCT
ejpam-3014	209	4	1	1	NUM
ejpam-3014	209	5	]	]	X
ejpam-3014	209	6	ρi	ρi	NOUN
ejpam-3014	209	7	=	=	SYM
ejpam-3014	210	1	−	−	PROPN
ejpam-3014	210	2	lnri	lnri	PROPN
ejpam-3014	210	3	↑	↑	PROPN
ejpam-3014	210	4	↓	↓	PROPN
ejpam-3014	210	5	↑	↑	PROPN
ejpam-3014	210	6	↓	↓	PROPN
ejpam-3014	210	7	ρs	ρs	PROPN
ejpam-3014	210	8	=	=	NOUN
ejpam-3014	211	1	−	−	PROPN
ejpam-3014	211	2	lnrs	lnrs	NOUN
ejpam-3014	211	3	rn+	rn+	NOUN
ejpam-3014	211	4	ρs	ρs	ADP
ejpam-3014	211	5	=	=	NOUN
ejpam-3014	211	6	ρ1+···+ρn−→	ρ1+···+ρn−→	NOUN
ejpam-3014	211	7	r+	r+	NOUN
ejpam-3014	211	8	[	[	X
ejpam-3014	211	9	0	0	NUM
ejpam-3014	211	10	,	,	PUNCT
ejpam-3014	211	11	1]n	1]n	NUM
ejpam-3014	211	12	rp=1−(1−r1)···(1−rn)−→	rp=1−(1−r1)···(1−rn)−→	PROPN
ejpam-3014	212	1	[	[	X
ejpam-3014	212	2	0	0	NUM
ejpam-3014	212	3	,	,	PUNCT
ejpam-3014	212	4	1	1	NUM
ejpam-3014	212	5	]	]	PUNCT
ejpam-3014	212	6	ρi	ρi	NOUN
ejpam-3014	212	7	=	=	SYM
ejpam-3014	212	8	−	−	PROPN
ejpam-3014	212	9	1	1	NUM
ejpam-3014	212	10	ln(1−ri	ln(1−ri	PROPN
ejpam-3014	212	11	)	)	PUNCT
ejpam-3014	212	12	↑	↑	PROPN
ejpam-3014	212	13	↓	↓	PROPN
ejpam-3014	212	14	↑	↑	PROPN
ejpam-3014	212	15	↓	↓	PROPN
ejpam-3014	213	1	ρp	ρp	NOUN
ejpam-3014	213	2	=	=	SYM
ejpam-3014	213	3	−	−	PROPN
ejpam-3014	213	4	1	1	NUM
ejpam-3014	213	5	ln(1−rp	ln(1−rp	NOUN
ejpam-3014	213	6	)	)	PUNCT
ejpam-3014	213	7	rn+	rn+	NOUN
ejpam-3014	213	8	ρp=	ρp=	NOUN
ejpam-3014	213	9	1	1	NUM
ejpam-3014	213	10	1	1	NUM
ejpam-3014	213	11	ρ1	ρ1	NOUN
ejpam-3014	213	12	+	+	NOUN
ejpam-3014	213	13	·	·	PUNCT
ejpam-3014	213	14	·	·	PUNCT
ejpam-3014	213	15	·	·	PUNCT
ejpam-3014	213	16	+	+	CCONJ
ejpam-3014	213	17	1	1	NUM
ejpam-3014	213	18	ρn−→	ρn−→	NOUN
ejpam-3014	213	19	r+	r+	PUNCT
ejpam-3014	213	20	comparing	compare	VERB
ejpam-3014	213	21	these	these	DET
ejpam-3014	213	22	diagrams	diagram	NOUN
ejpam-3014	213	23	,	,	PUNCT
ejpam-3014	213	24	we	we	PRON
ejpam-3014	213	25	get	get	VERB
ejpam-3014	213	26	the	the	DET
ejpam-3014	213	27	proof	proof	NOUN
ejpam-3014	213	28	of	of	ADP
ejpam-3014	213	29	the	the	DET
ejpam-3014	213	30	proposition	proposition	NOUN
ejpam-3014	213	31	.	.	PUNCT
ejpam-3014	214	1	example	example	NOUN
ejpam-3014	215	1	2	2	NUM
ejpam-3014	215	2	.	.	PUNCT
ejpam-3014	215	3	let	let	VERB
ejpam-3014	215	4	us	we	PRON
ejpam-3014	215	5	find	find	VERB
ejpam-3014	215	6	”	"	PUNCT
ejpam-3014	215	7	reliability	reliability	NOUN
ejpam-3014	215	8	batteries	battery	NOUN
ejpam-3014	215	9	”	"	PUNCT
ejpam-3014	215	10	of	of	ADP
ejpam-3014	215	11	minimum	minimum	ADJ
ejpam-3014	215	12	intensity	intensity	NOUN
ejpam-3014	215	13	as	as	ADP
ejpam-3014	215	14	counterpart	counterpart	NOUN
ejpam-3014	215	15	of	of	ADP
ejpam-3014	215	16	electrical	electrical	ADJ
ejpam-3014	215	17	batteries	battery	NOUN
ejpam-3014	215	18	of	of	ADP
ejpam-3014	215	19	maximum	maximum	ADJ
ejpam-3014	215	20	intensity	intensity	NOUN
ejpam-3014	215	21	.	.	PUNCT
ejpam-3014	216	1	genuine	genuine	ADJ
ejpam-3014	216	2	example	example	NOUN
ejpam-3014	216	3	of	of	ADP
ejpam-3014	216	4	batteries	battery	NOUN
ejpam-3014	216	5	with	with	ADP
ejpam-3014	216	6	maximum	maximum	ADJ
ejpam-3014	216	7	intensity	intensity	NOUN
ejpam-3014	216	8	let	let	VERB
ejpam-3014	216	9	us	we	PRON
ejpam-3014	216	10	give	give	VERB
ejpam-3014	216	11	n	n	PRON
ejpam-3014	216	12	identical	identical	ADJ
ejpam-3014	216	13	electric	electric	ADJ
ejpam-3014	216	14	cells	cell	NOUN
ejpam-3014	216	15	,	,	PUNCT
ejpam-3014	216	16	each	each	PRON
ejpam-3014	216	17	with	with	ADP
ejpam-3014	216	18	emf	emf	NOUN
ejpam-3014	216	19	e	e	NOUN
ejpam-3014	216	20	and	and	CCONJ
ejpam-3014	216	21	inner	inner	ADJ
ejpam-3014	216	22	resistance	resistance	NOUN
ejpam-3014	216	23	r.	r.	PROPN
ejpam-3014	216	24	let	let	VERB
ejpam-3014	216	25	us	we	PRON
ejpam-3014	216	26	denote	denote	VERB
ejpam-3014	216	27	by	by	ADP
ejpam-3014	216	28	r	r	NOUN
ejpam-3014	216	29	the	the	DET
ejpam-3014	216	30	exterior	exterior	ADJ
ejpam-3014	216	31	resistance	resistance	NOUN
ejpam-3014	216	32	.	.	PUNCT
ejpam-3014	217	1	tying	tie	VERB
ejpam-3014	217	2	in	in	ADP
ejpam-3014	217	3	series	series	NOUN
ejpam-3014	217	4	n	n	PROPN
ejpam-3014	217	5	cells	cell	NOUN
ejpam-3014	217	6	and	and	CCONJ
ejpam-3014	217	7	then	then	ADV
ejpam-3014	217	8	in	in	ADP
ejpam-3014	217	9	parallel	parallel	VERB
ejpam-3014	217	10	the	the	DET
ejpam-3014	217	11	groups	group	NOUN
ejpam-3014	217	12	so	so	ADV
ejpam-3014	217	13	obtained	obtain	VERB
ejpam-3014	217	14	,	,	PUNCT
ejpam-3014	217	15	we	we	PRON
ejpam-3014	217	16	form	form	VERB
ejpam-3014	217	17	a	a	DET
ejpam-3014	217	18	battery	battery	NOUN
ejpam-3014	217	19	.	.	PUNCT
ejpam-3014	218	1	determine	determine	VERB
ejpam-3014	218	2	n	n	PRON
ejpam-3014	218	3	so	so	SCONJ
ejpam-3014	218	4	that	that	SCONJ
ejpam-3014	218	5	the	the	DET
ejpam-3014	218	6	battery	battery	NOUN
ejpam-3014	218	7	to	to	PART
ejpam-3014	218	8	supply	supply	VERB
ejpam-3014	218	9	a	a	DET
ejpam-3014	218	10	current	current	NOUN
ejpam-3014	218	11	of	of	ADP
ejpam-3014	218	12	maximum	maximum	ADJ
ejpam-3014	218	13	intensity	intensity	NOUN
ejpam-3014	218	14	.	.	PUNCT
ejpam-3014	219	1	solution	solution	NOUN
ejpam-3014	219	2	the	the	DET
ejpam-3014	219	3	current	current	ADJ
ejpam-3014	219	4	intensity	intensity	NOUN
ejpam-3014	219	5	given	give	VERB
ejpam-3014	219	6	by	by	ADP
ejpam-3014	219	7	such	such	ADJ
ejpam-3014	219	8	battery	battery	NOUN
ejpam-3014	219	9	is	be	AUX
ejpam-3014	219	10	i	i	PRON
ejpam-3014	219	11	=	=	PUNCT
ejpam-3014	219	12	nne	nne	PROPN
ejpam-3014	219	13	nr+	nr+	NOUN
ejpam-3014	219	14	n2r	n2r	VERB
ejpam-3014	219	15	.	.	PUNCT
ejpam-3014	220	1	we	we	PRON
ejpam-3014	220	2	think	think	VERB
ejpam-3014	220	3	n→	n→	PUNCT
ejpam-3014	220	4	i(n	i(n	NUM
ejpam-3014	220	5	)	)	PUNCT
ejpam-3014	220	6	as	as	ADP
ejpam-3014	220	7	a	a	DET
ejpam-3014	220	8	function	function	NOUN
ejpam-3014	220	9	on	on	ADP
ejpam-3014	220	10	(	(	PUNCT
ejpam-3014	220	11	0,∞	0,∞	NUM
ejpam-3014	220	12	)	)	PUNCT
ejpam-3014	220	13	and	and	CCONJ
ejpam-3014	220	14	we	we	PRON
ejpam-3014	220	15	remark	remark	VERB
ejpam-3014	220	16	that	that	SCONJ
ejpam-3014	220	17	max	max	PROPN
ejpam-3014	221	1	i	i	NOUN
ejpam-3014	221	2	=	=	SYM
ejpam-3014	221	3	1	1	NUM
ejpam-3014	221	4	min	min	NOUN
ejpam-3014	221	5	1	1	NUM
ejpam-3014	221	6	i	i	NOUN
ejpam-3014	221	7	.	.	PUNCT
ejpam-3014	222	1	s.	s.	PROPN
ejpam-3014	222	2	a.	a.	PROPN
ejpam-3014	222	3	abed	abed	PROPN
ejpam-3014	222	4	,	,	PUNCT
ejpam-3014	222	5	c.	c.	PROPN
ejpam-3014	222	6	udriste	udriste	PROPN
ejpam-3014	222	7	,	,	PUNCT
ejpam-3014	222	8	ionel	ionel	NOUN
ejpam-3014	222	9	tevy	tevy	PROPN
ejpam-3014	222	10	/	/	SYM
ejpam-3014	222	11	eur	eur	PROPN
ejpam-3014	222	12	.	.	PUNCT
ejpam-3014	223	1	j.	j.	PROPN
ejpam-3014	223	2	pure	pure	PROPN
ejpam-3014	223	3	appl	appl	PROPN
ejpam-3014	223	4	.	.	PROPN
ejpam-3014	223	5	math	math	PROPN
ejpam-3014	223	6	,	,	PUNCT
ejpam-3014	223	7	10	10	NUM
ejpam-3014	223	8	(	(	PUNCT
ejpam-3014	223	9	4	4	NUM
ejpam-3014	223	10	)	)	PUNCT
ejpam-3014	223	11	(	(	PUNCT
ejpam-3014	223	12	2017	2017	NUM
ejpam-3014	223	13	)	)	PUNCT
ejpam-3014	223	14	,	,	PUNCT
ejpam-3014	223	15	877	877	NUM
ejpam-3014	223	16	-	-	SYM
ejpam-3014	223	17	889	889	NUM
ejpam-3014	223	18	887	887	NUM
ejpam-3014	223	19	on	on	ADP
ejpam-3014	223	20	the	the	DET
ejpam-3014	223	21	other	other	ADJ
ejpam-3014	223	22	hand	hand	NOUN
ejpam-3014	223	23	,	,	PUNCT
ejpam-3014	223	24	min	min	PROPN
ejpam-3014	224	1	n>0	n>0	PRON
ejpam-3014	224	2	1	1	NUM
ejpam-3014	225	1	i	i	NOUN
ejpam-3014	225	2	=	=	SYM
ejpam-3014	225	3	min	min	PROPN
ejpam-3014	225	4	n>0	n>0	PRON
ejpam-3014	225	5	(	(	PUNCT
ejpam-3014	225	6	r	r	NOUN
ejpam-3014	225	7	e	e	PROPN
ejpam-3014	225	8	n−1	n−1	PROPN
ejpam-3014	225	9	+	+	CCONJ
ejpam-3014	225	10	r	r	NOUN
ejpam-3014	225	11	ne	ne	NOUN
ejpam-3014	225	12	n	n	PROPN
ejpam-3014	225	13	)	)	PUNCT
ejpam-3014	225	14	.	.	PUNCT
ejpam-3014	226	1	this	this	PRON
ejpam-3014	226	2	is	be	AUX
ejpam-3014	226	3	a	a	DET
ejpam-3014	226	4	posynomial	posynomial	ADJ
ejpam-3014	226	5	geometric	geometric	ADJ
ejpam-3014	226	6	program	program	NOUN
ejpam-3014	226	7	with	with	ADP
ejpam-3014	226	8	the	the	DET
ejpam-3014	226	9	solution	solution	NOUN
ejpam-3014	226	10	n	n	NOUN
ejpam-3014	226	11	=	=	SYM
ejpam-3014	226	12	√	√	PROPN
ejpam-3014	226	13	n	n	CCONJ
ejpam-3014	226	14	r	r	NOUN
ejpam-3014	226	15	r	r	NOUN
ejpam-3014	226	16	and	and	CCONJ
ejpam-3014	226	17	imax	imax	NOUN
ejpam-3014	226	18	=	=	PUNCT
ejpam-3014	226	19	e	e	PROPN
ejpam-3014	226	20	2	2	NUM
ejpam-3014	226	21	√	√	PROPN
ejpam-3014	226	22	n	n	NUM
ejpam-3014	226	23	rr	rr	VERB
ejpam-3014	226	24	.	.	PUNCT
ejpam-3014	227	1	if	if	SCONJ
ejpam-3014	227	2	n	n	PRON
ejpam-3014	227	3	is	be	AUX
ejpam-3014	227	4	supposed	suppose	VERB
ejpam-3014	227	5	to	to	PART
ejpam-3014	227	6	be	be	AUX
ejpam-3014	227	7	a	a	DET
ejpam-3014	227	8	natural	natural	ADJ
ejpam-3014	227	9	number	number	NOUN
ejpam-3014	227	10	,	,	PUNCT
ejpam-3014	227	11	then	then	ADV
ejpam-3014	227	12	the	the	DET
ejpam-3014	227	13	geometric	geometric	ADJ
ejpam-3014	227	14	program	program	NOUN
ejpam-3014	227	15	should	should	AUX
ejpam-3014	227	16	be	be	AUX
ejpam-3014	227	17	solved	solve	VERB
ejpam-3014	227	18	in	in	ADP
ejpam-3014	227	19	steps	step	NOUN
ejpam-3014	227	20	.	.	PUNCT
ejpam-3014	228	1	dictionary	dictionary	NOUN
ejpam-3014	228	2	to	to	PART
ejpam-3014	228	3	pass	pass	VERB
ejpam-3014	228	4	to	to	ADP
ejpam-3014	228	5	the	the	DET
ejpam-3014	228	6	reliability	reliability	NOUN
ejpam-3014	228	7	domain	domain	NOUN
ejpam-3014	228	8	,	,	PUNCT
ejpam-3014	228	9	we	we	PRON
ejpam-3014	228	10	use	use	VERB
ejpam-3014	228	11	e	e	NOUN
ejpam-3014	228	12	=	=	NOUN
ejpam-3014	228	13	ee	ee	PROPN
ejpam-3014	228	14	,	,	PUNCT
ejpam-3014	228	15	i	i	PRON
ejpam-3014	228	16	=	=	NOUN
ejpam-3014	228	17	ei	ei	X
ejpam-3014	228	18	,	,	PUNCT
ejpam-3014	228	19	r	r	NOUN
ejpam-3014	228	20	→	→	SYM
ejpam-3014	228	21	−	−	PROPN
ejpam-3014	228	22	lnr	lnr	PROPN
ejpam-3014	228	23	,	,	PUNCT
ejpam-3014	228	24	r→	r→	PROPN
ejpam-3014	228	25	−	−	PROPN
ejpam-3014	228	26	lnr1	lnr1	ADJ
ejpam-3014	228	27	.	.	PUNCT
ejpam-3014	229	1	it	it	PRON
ejpam-3014	229	2	follows	follow	VERB
ejpam-3014	229	3	−	−	PROPN
ejpam-3014	230	1	ln	ln	ADJ
ejpam-3014	231	1	i	i	NOUN
ejpam-3014	231	2	=	=	SYM
ejpam-3014	231	3	ln	ln	ADJ
ejpam-3014	231	4	enn	enn	PROPN
ejpam-3014	231	5	lnrn1	lnrn1	NOUN
ejpam-3014	231	6	rn	rn	PROPN
ejpam-3014	231	7	2	2	NUM
ejpam-3014	231	8	=	=	SYM
ejpam-3014	231	9	logrn1	logrn1	PROPN
ejpam-3014	231	10	rn	rn	NOUN
ejpam-3014	231	11	2enn	2enn	PROPN
ejpam-3014	231	12	,	,	PUNCT
ejpam-3014	231	13	i.e.	i.e.	X
ejpam-3014	231	14	,	,	PUNCT
ejpam-3014	231	15	i	i	PROPN
ejpam-3014	231	16	=	=	SYM
ejpam-3014	231	17	exp	exp	NOUN
ejpam-3014	231	18	(	(	PUNCT
ejpam-3014	231	19	−	−	PROPN
ejpam-3014	231	20	ln	ln	ADJ
ejpam-3014	231	21	enn	enn	PROPN
ejpam-3014	231	22	lnrn1	lnrn1	NOUN
ejpam-3014	231	23	rn	rn	PROPN
ejpam-3014	231	24	2	2	NUM
ejpam-3014	231	25	)	)	PUNCT
ejpam-3014	231	26	.	.	PUNCT
ejpam-3014	232	1	dual	dual	ADJ
ejpam-3014	232	2	example	example	NOUN
ejpam-3014	232	3	of	of	ADP
ejpam-3014	232	4	reliability	reliability	NOUN
ejpam-3014	232	5	batteries	battery	NOUN
ejpam-3014	232	6	with	with	ADP
ejpam-3014	232	7	minimum	minimum	ADJ
ejpam-3014	232	8	intensity	intensity	NOUN
ejpam-3014	232	9	consider	consider	VERB
ejpam-3014	232	10	a	a	DET
ejpam-3014	232	11	reliability	reliability	NOUN
ejpam-3014	232	12	subsystem	subsystem	NOUN
ejpam-3014	232	13	with	with	ADP
ejpam-3014	232	14	n	n	ADP
ejpam-3014	232	15	components	component	NOUN
ejpam-3014	232	16	,	,	PUNCT
ejpam-3014	232	17	with	with	ADP
ejpam-3014	232	18	the	the	DET
ejpam-3014	232	19	same	same	ADJ
ejpam-3014	232	20	reliability	reliability	NOUN
ejpam-3014	232	21	r.	r.	NOUN
ejpam-3014	232	22	the	the	DET
ejpam-3014	232	23	components	component	NOUN
ejpam-3014	232	24	are	be	AUX
ejpam-3014	232	25	grouped	group	VERB
ejpam-3014	232	26	many	many	ADJ
ejpam-3014	232	27	n	n	NOUN
ejpam-3014	232	28	in	in	ADP
ejpam-3014	232	29	series	series	NOUN
ejpam-3014	232	30	,	,	PUNCT
ejpam-3014	232	31	and	and	CCONJ
ejpam-3014	232	32	the	the	DET
ejpam-3014	232	33	series	series	NOUN
ejpam-3014	232	34	in	in	ADP
ejpam-3014	232	35	parallel	parallel	NOUN
ejpam-3014	232	36	.	.	PUNCT
ejpam-3014	233	1	to	to	ADP
ejpam-3014	233	2	the	the	DET
ejpam-3014	233	3	total	total	ADJ
ejpam-3014	233	4	system	system	NOUN
ejpam-3014	233	5	we	we	PRON
ejpam-3014	233	6	attach	attach	VERB
ejpam-3014	233	7	a	a	DET
ejpam-3014	233	8	subsystem	subsystem	NOUN
ejpam-3014	233	9	,	,	PUNCT
ejpam-3014	233	10	consisting	consist	VERB
ejpam-3014	233	11	of	of	ADP
ejpam-3014	233	12	a	a	DET
ejpam-3014	233	13	single	single	ADJ
ejpam-3014	233	14	element	element	NOUN
ejpam-3014	233	15	with	with	ADP
ejpam-3014	233	16	reliability	reliability	NOUN
ejpam-3014	233	17	r	r	NOUN
ejpam-3014	233	18	,	,	PUNCT
ejpam-3014	233	19	connected	connect	VERB
ejpam-3014	233	20	in	in	ADP
ejpam-3014	233	21	series	series	NOUN
ejpam-3014	233	22	.	.	PUNCT
ejpam-3014	234	1	the	the	DET
ejpam-3014	234	2	total	total	ADJ
ejpam-3014	234	3	reliability	reliability	NOUN
ejpam-3014	234	4	is	be	AUX
ejpam-3014	234	5	rs	rs	ADJ
ejpam-3014	234	6	=	=	PUNCT
ejpam-3014	235	1	[	[	X
ejpam-3014	235	2	1−	1−	NUM
ejpam-3014	235	3	(	(	PUNCT
ejpam-3014	235	4	1−	1−	NUM
ejpam-3014	235	5	rn)n	rn)n	PROPN
ejpam-3014	235	6	/	/	SYM
ejpam-3014	235	7	n]r	n]r	NOUN
ejpam-3014	235	8	.	.	PUNCT
ejpam-3014	236	1	we	we	PRON
ejpam-3014	236	2	use	use	VERB
ejpam-3014	236	3	a	a	DET
ejpam-3014	236	4	sequence	sequence	NOUN
ejpam-3014	236	5	of	of	ADP
ejpam-3014	236	6	arrows	arrow	NOUN
ejpam-3014	236	7	based	base	VERB
ejpam-3014	236	8	on	on	ADP
ejpam-3014	236	9	previous	previous	ADJ
ejpam-3014	236	10	commutative	commutative	ADJ
ejpam-3014	236	11	diagrams	diagram	NOUN
ejpam-3014	236	12	,	,	PUNCT
ejpam-3014	236	13	rs	rs	NOUN
ejpam-3014	236	14	=	=	PUNCT
ejpam-3014	237	1	[	[	X
ejpam-3014	237	2	1−	1−	NUM
ejpam-3014	237	3	(	(	PUNCT
ejpam-3014	237	4	1−	1−	NUM
ejpam-3014	237	5	rn)n	rn)n	PROPN
ejpam-3014	237	6	/	/	SYM
ejpam-3014	237	7	n]r	n]r	NOUN
ejpam-3014	237	8	→	→	SYM
ejpam-3014	237	9	−	−	PROPN
ejpam-3014	237	10	ln[1−	ln[1−	PUNCT
ejpam-3014	237	11	(	(	PUNCT
ejpam-3014	237	12	1−	1−	NUM
ejpam-3014	237	13	rn)n	rn)n	PROPN
ejpam-3014	237	14	/	/	SYM
ejpam-3014	237	15	n]−	n]−	NOUN
ejpam-3014	237	16	lnr	lnr	PROPN
ejpam-3014	237	17	→	→	PUNCT
ejpam-3014	237	18	−	−	PROPN
ejpam-3014	237	19	ln	ln	ADJ
ejpam-3014	237	20	1	1	NUM
ejpam-3014	237	21	(	(	PUNCT
ejpam-3014	237	22	1−	1−	NUM
ejpam-3014	237	23	rn)n	rn)n	PROPN
ejpam-3014	237	24	/	/	SYM
ejpam-3014	237	25	n	n	PROPN
ejpam-3014	237	26	−	−	PROPN
ejpam-3014	237	27	lnr	lnr	PROPN
ejpam-3014	237	28	→	→	SYM
ejpam-3014	237	29	n	n	CCONJ
ejpam-3014	237	30	n	n	PRON
ejpam-3014	237	31	ln(1−	ln(1−	PROPN
ejpam-3014	237	32	rn)−	rn)−	X
ejpam-3014	237	33	lnr	lnr	PROPN
ejpam-3014	237	34	→	→	SYM
ejpam-3014	237	35	n	n	CCONJ
ejpam-3014	237	36	n	n	PROPN
ejpam-3014	237	37	ln	ln	PROPN
ejpam-3014	237	38	1	1	NUM
ejpam-3014	237	39	rn	rn	PROPN
ejpam-3014	237	40	−	−	PROPN
ejpam-3014	237	41	lnr	lnr	PROPN
ejpam-3014	237	42	→	→	SYM
ejpam-3014	237	43	−n	−n	PROPN
ejpam-3014	237	44	2	2	NUM
ejpam-3014	237	45	n	n	NOUN
ejpam-3014	237	46	ln	ln	NOUN
ejpam-3014	237	47	r	r	NOUN
ejpam-3014	237	48	−	−	PROPN
ejpam-3014	237	49	lnr	lnr	PROPN
ejpam-3014	237	50	→	→	SYM
ejpam-3014	237	51	n2	n2	NOUN
ejpam-3014	237	52	n	n	CCONJ
ejpam-3014	237	53	r	r	NOUN
ejpam-3014	237	54	+	+	NOUN
ejpam-3014	237	55	r	r	NOUN
ejpam-3014	237	56	=	=	SYM
ejpam-3014	237	57	ne	ne	NOUN
ejpam-3014	237	58	i	i	PROPN
ejpam-3014	237	59	.	.	PUNCT
ejpam-3014	238	1	the	the	DET
ejpam-3014	238	2	analog	analog	NOUN
ejpam-3014	238	3	”	"	PUNCT
ejpam-3014	238	4	reliability	reliability	NOUN
ejpam-3014	238	5	emf	emf	NOUN
ejpam-3014	238	6	”	"	PUNCT
ejpam-3014	238	7	of	of	ADP
ejpam-3014	238	8	the	the	DET
ejpam-3014	238	9	battery	battery	NOUN
ejpam-3014	238	10	is	be	AUX
ejpam-3014	238	11	e.	e.	PROPN
ejpam-3014	238	12	to	to	PART
ejpam-3014	238	13	close	close	VERB
ejpam-3014	238	14	the	the	DET
ejpam-3014	238	15	loop	loop	NOUN
ejpam-3014	238	16	,	,	PUNCT
ejpam-3014	238	17	we	we	PRON
ejpam-3014	238	18	consider	consider	VERB
ejpam-3014	238	19	that	that	SCONJ
ejpam-3014	238	20	the	the	DET
ejpam-3014	238	21	analog	analog	NOUN
ejpam-3014	238	22	”	"	PUNCT
ejpam-3014	238	23	reliability	reliability	NOUN
ejpam-3014	238	24	intensity	intensity	NOUN
ejpam-3014	238	25	”	"	PUNCT
ejpam-3014	238	26	is	be	AUX
ejpam-3014	238	27	i	i	NOUN
ejpam-3014	238	28	=	=	PUNCT
ejpam-3014	238	29	c(r;n)(1−rs	c(r;n)(1−rs	PROPN
ejpam-3014	238	30	)	)	PUNCT
ejpam-3014	238	31	=	=	NOUN
ejpam-3014	238	32	exp	exp	NOUN
ejpam-3014	238	33	(	(	PUNCT
ejpam-3014	238	34	−	−	PROPN
ejpam-3014	238	35	ln	ln	ADJ
ejpam-3014	238	36	enn	enn	PROPN
ejpam-3014	238	37	lnrn1	lnrn1	NOUN
ejpam-3014	238	38	rn	rn	PROPN
ejpam-3014	238	39	2	2	NUM
ejpam-3014	238	40	)	)	PUNCT
ejpam-3014	238	41	.	.	PUNCT
ejpam-3014	239	1	the	the	DET
ejpam-3014	239	2	function	function	NOUN
ejpam-3014	239	3	n→	n→	PUNCT
ejpam-3014	239	4	i(n	i(n	NUM
ejpam-3014	239	5	)	)	PUNCT
ejpam-3014	239	6	has	have	VERB
ejpam-3014	239	7	minimum	minimum	NOUN
ejpam-3014	239	8	for	for	ADP
ejpam-3014	239	9	n	n	NOUN
ejpam-3014	239	10	=	=	SYM
ejpam-3014	239	11	√	√	PROPN
ejpam-3014	239	12	n	n	CCONJ
ejpam-3014	239	13	lnr1	lnr1	PROPN
ejpam-3014	239	14	lnr	lnr	PROPN
ejpam-3014	239	15	.	.	PUNCT
ejpam-3014	240	1	open	open	ADJ
ejpam-3014	240	2	problems	problem	NOUN
ejpam-3014	240	3	(	(	PUNCT
ejpam-3014	240	4	i	i	NOUN
ejpam-3014	240	5	)	)	PUNCT
ejpam-3014	240	6	clarify	clarify	VERB
ejpam-3014	240	7	and	and	CCONJ
ejpam-3014	240	8	extend	extend	VERB
ejpam-3014	240	9	the	the	DET
ejpam-3014	240	10	ideas	idea	NOUN
ejpam-3014	240	11	in	in	ADP
ejpam-3014	240	12	this	this	DET
ejpam-3014	240	13	section	section	NOUN
ejpam-3014	240	14	.	.	PUNCT
ejpam-3014	241	1	(	(	PUNCT
ejpam-3014	241	2	ii	ii	NOUN
ejpam-3014	241	3	)	)	PUNCT
ejpam-3014	241	4	extend	extend	VERB
ejpam-3014	241	5	the	the	DET
ejpam-3014	241	6	previous	previous	ADJ
ejpam-3014	241	7	similarity	similarity	NOUN
ejpam-3014	241	8	to	to	ADP
ejpam-3014	241	9	magnetic	magnetic	ADJ
ejpam-3014	241	10	reluctance	reluctance	NOUN
ejpam-3014	241	11	or	or	CCONJ
ejpam-3014	241	12	general	general	ADJ
ejpam-3014	241	13	circuits	circuit	NOUN
ejpam-3014	241	14	.	.	PUNCT
ejpam-3014	242	1	references	reference	NOUN
ejpam-3014	242	2	888	888	NUM
ejpam-3014	242	3	5	5	NUM
ejpam-3014	242	4	.	.	PUNCT
ejpam-3014	242	5	generated	generate	VERB
ejpam-3014	242	6	algebraic	algebraic	ADJ
ejpam-3014	242	7	structures	structure	VERB
ejpam-3014	242	8	the	the	DET
ejpam-3014	242	9	commutative	commutative	ADJ
ejpam-3014	242	10	monoid	monoid	NOUN
ejpam-3014	242	11	(	(	PUNCT
ejpam-3014	242	12	[	[	X
ejpam-3014	242	13	0	0	NUM
ejpam-3014	242	14	,	,	PUNCT
ejpam-3014	242	15	1	1	NUM
ejpam-3014	242	16	]	]	PUNCT
ejpam-3014	242	17	,	,	PUNCT
ejpam-3014	242	18	s	s	X
ejpam-3014	242	19	)	)	PUNCT
ejpam-3014	242	20	:	:	PUNCT
ejpam-3014	242	21	asb	asb	PROPN
ejpam-3014	242	22	=	=	X
ejpam-3014	242	23	ab	ab	PROPN
ejpam-3014	242	24	is	be	AUX
ejpam-3014	242	25	isomorphic	isomorphic	ADJ
ejpam-3014	242	26	to	to	ADP
ejpam-3014	242	27	the	the	DET
ejpam-3014	242	28	commutative	commutative	ADJ
ejpam-3014	242	29	monoid	monoid	NOUN
ejpam-3014	242	30	(	(	PUNCT
ejpam-3014	242	31	[	[	X
ejpam-3014	242	32	0	0	NUM
ejpam-3014	242	33	,	,	PUNCT
ejpam-3014	242	34	1	1	NUM
ejpam-3014	242	35	]	]	PUNCT
ejpam-3014	242	36	,	,	PUNCT
ejpam-3014	242	37	p	p	NOUN
ejpam-3014	242	38	)	)	PUNCT
ejpam-3014	242	39	:	:	PUNCT
ejpam-3014	243	1	apb	apb	PROPN
ejpam-3014	243	2	=	=	SYM
ejpam-3014	243	3	1−	1−	NUM
ejpam-3014	243	4	(	(	PUNCT
ejpam-3014	243	5	1−	1−	NUM
ejpam-3014	243	6	a)(1−	a)(1−	PROPN
ejpam-3014	243	7	b	b	PROPN
ejpam-3014	243	8	)	)	PUNCT
ejpam-3014	243	9	via	via	ADP
ejpam-3014	243	10	an	an	DET
ejpam-3014	243	11	isomorphism	isomorphism	NOUN
ejpam-3014	243	12	f	f	X
ejpam-3014	243	13	.	.	PUNCT
ejpam-3014	244	1	for	for	ADP
ejpam-3014	244	2	example	example	NOUN
ejpam-3014	244	3	,	,	PUNCT
ejpam-3014	244	4	f(x	f(x	PROPN
ejpam-3014	244	5	)	)	PUNCT
ejpam-3014	244	6	=	=	SYM
ejpam-3014	245	1	1	1	NUM
ejpam-3014	245	2	−	−	NOUN
ejpam-3014	245	3	x	x	SYM
ejpam-3014	245	4	(	(	PUNCT
ejpam-3014	245	5	involution	involution	NOUN
ejpam-3014	245	6	)	)	PUNCT
ejpam-3014	245	7	.	.	PUNCT
ejpam-3014	246	1	the	the	DET
ejpam-3014	246	2	general	general	ADJ
ejpam-3014	246	3	isomorphism	isomorphism	NOUN
ejpam-3014	246	4	is	be	AUX
ejpam-3014	246	5	of	of	ADP
ejpam-3014	246	6	the	the	DET
ejpam-3014	246	7	form	form	NOUN
ejpam-3014	246	8	f(x	f(x	PROPN
ejpam-3014	246	9	)	)	PUNCT
ejpam-3014	247	1	=	=	PUNCT
ejpam-3014	248	1	h(1	h(1	VERB
ejpam-3014	248	2	−	−	PROPN
ejpam-3014	248	3	h−1(x	h−1(x	NOUN
ejpam-3014	248	4	)	)	PUNCT
ejpam-3014	248	5	)	)	PUNCT
ejpam-3014	248	6	,	,	PUNCT
ejpam-3014	248	7	where	where	SCONJ
ejpam-3014	248	8	h	h	NOUN
ejpam-3014	248	9	:	:	PUNCT
ejpam-3014	249	1	[	[	X
ejpam-3014	249	2	0	0	NUM
ejpam-3014	249	3	,	,	PUNCT
ejpam-3014	249	4	1]→	1]→	NOUN
ejpam-3014	250	1	[	[	X
ejpam-3014	250	2	0	0	NUM
ejpam-3014	250	3	,	,	PUNCT
ejpam-3014	250	4	1	1	NUM
ejpam-3014	250	5	]	]	PUNCT
ejpam-3014	250	6	is	be	AUX
ejpam-3014	250	7	an	an	DET
ejpam-3014	250	8	arbitrary	arbitrary	ADJ
ejpam-3014	250	9	bijection	bijection	NOUN
ejpam-3014	250	10	.	.	PUNCT
ejpam-3014	251	1	the	the	DET
ejpam-3014	251	2	commutative	commutative	ADJ
ejpam-3014	251	3	monoid	monoid	NOUN
ejpam-3014	251	4	(	(	PUNCT
ejpam-3014	251	5	[	[	X
ejpam-3014	251	6	0,+∞	0,+∞	NUM
ejpam-3014	251	7	]	]	X
ejpam-3014	251	8	,	,	PUNCT
ejpam-3014	251	9	s	s	X
ejpam-3014	251	10	)	)	PUNCT
ejpam-3014	251	11	:	:	PUNCT
ejpam-3014	251	12	asb	asb	PROPN
ejpam-3014	251	13	=	=	PUNCT
ejpam-3014	251	14	a	a	PRON
ejpam-3014	251	15	+	+	NUM
ejpam-3014	251	16	b	b	NOUN
ejpam-3014	251	17	is	be	AUX
ejpam-3014	251	18	isomorphic	isomorphic	ADJ
ejpam-3014	251	19	to	to	ADP
ejpam-3014	251	20	the	the	DET
ejpam-3014	251	21	commutative	commutative	ADJ
ejpam-3014	251	22	monoid	monoid	NOUN
ejpam-3014	251	23	(	(	PUNCT
ejpam-3014	251	24	[	[	X
ejpam-3014	251	25	0,+∞	0,+∞	NUM
ejpam-3014	251	26	]	]	X
ejpam-3014	251	27	,	,	PUNCT
ejpam-3014	251	28	p	p	NOUN
ejpam-3014	251	29	)	)	PUNCT
ejpam-3014	251	30	:	:	PUNCT
ejpam-3014	252	1	apb	apb	PROPN
ejpam-3014	252	2	=	=	NOUN
ejpam-3014	252	3	1	1	NUM
ejpam-3014	252	4	1	1	NUM
ejpam-3014	252	5	a	a	DET
ejpam-3014	252	6	+	+	NUM
ejpam-3014	252	7	1	1	NUM
ejpam-3014	252	8	b	b	NOUN
ejpam-3014	252	9	via	via	ADP
ejpam-3014	252	10	an	an	DET
ejpam-3014	252	11	isomorphism	isomorphism	NOUN
ejpam-3014	252	12	g.	g.	NOUN
ejpam-3014	252	13	as	as	ADP
ejpam-3014	252	14	example	example	NOUN
ejpam-3014	252	15	g(y	g(y	PROPN
ejpam-3014	252	16	)	)	PUNCT
ejpam-3014	252	17	=	=	SYM
ejpam-3014	252	18	1	1	NUM
ejpam-3014	252	19	y	y	NOUN
ejpam-3014	252	20	(	(	PUNCT
ejpam-3014	252	21	involution	involution	NOUN
ejpam-3014	252	22	)	)	PUNCT
ejpam-3014	252	23	.	.	PUNCT
ejpam-3014	253	1	generally	generally	ADV
ejpam-3014	253	2	,	,	PUNCT
ejpam-3014	253	3	the	the	DET
ejpam-3014	253	4	isomorphism	isomorphism	NOUN
ejpam-3014	253	5	is	be	AUX
ejpam-3014	253	6	of	of	ADP
ejpam-3014	253	7	the	the	DET
ejpam-3014	253	8	form	form	NOUN
ejpam-3014	253	9	g(y	g(y	NOUN
ejpam-3014	253	10	)	)	PUNCT
ejpam-3014	253	11	=	=	PUNCT
ejpam-3014	254	1	`	`	PUNCT
ejpam-3014	254	2	(	(	PUNCT
ejpam-3014	254	3	1/`−1(y	1/`−1(y	NUM
ejpam-3014	254	4	)	)	PUNCT
ejpam-3014	254	5	)	)	PUNCT
ejpam-3014	254	6	,	,	PUNCT
ejpam-3014	254	7	where	where	SCONJ
ejpam-3014	254	8	`	`	PUNCT
ejpam-3014	254	9	:	:	PUNCT
ejpam-3014	255	1	[	[	X
ejpam-3014	255	2	0,+∞]→	0,+∞]→	X
ejpam-3014	255	3	[	[	X
ejpam-3014	255	4	0,+∞	0,+∞	X
ejpam-3014	255	5	]	]	X
ejpam-3014	255	6	is	be	AUX
ejpam-3014	255	7	an	an	DET
ejpam-3014	255	8	arbitrary	arbitrary	ADJ
ejpam-3014	255	9	bijection	bijection	NOUN
ejpam-3014	255	10	.	.	PUNCT
ejpam-3014	256	1	the	the	DET
ejpam-3014	256	2	commutative	commutative	ADJ
ejpam-3014	256	3	monoid	monoid	NOUN
ejpam-3014	256	4	(	(	PUNCT
ejpam-3014	256	5	[	[	X
ejpam-3014	256	6	0	0	NUM
ejpam-3014	256	7	,	,	PUNCT
ejpam-3014	256	8	1	1	NUM
ejpam-3014	256	9	]	]	PUNCT
ejpam-3014	256	10	,	,	PUNCT
ejpam-3014	256	11	s	s	X
ejpam-3014	256	12	)	)	PUNCT
ejpam-3014	256	13	is	be	AUX
ejpam-3014	256	14	isomorphic	isomorphic	ADJ
ejpam-3014	256	15	to	to	ADP
ejpam-3014	256	16	the	the	DET
ejpam-3014	256	17	commutative	commutative	ADJ
ejpam-3014	256	18	monoid	monoid	NOUN
ejpam-3014	256	19	(	(	PUNCT
ejpam-3014	256	20	[	[	X
ejpam-3014	256	21	0,+∞	0,+∞	NUM
ejpam-3014	256	22	]	]	X
ejpam-3014	256	23	,	,	PUNCT
ejpam-3014	256	24	s	s	X
ejpam-3014	256	25	)	)	PUNCT
ejpam-3014	256	26	by	by	ADP
ejpam-3014	256	27	the	the	DET
ejpam-3014	256	28	isomorphism	isomorphism	NOUN
ejpam-3014	256	29	ϕ(x	ϕ(x	NOUN
ejpam-3014	256	30	)	)	PUNCT
ejpam-3014	256	31	=	=	SYM
ejpam-3014	257	1	−	−	PROPN
ejpam-3014	257	2	lnx	lnx	PROPN
ejpam-3014	257	3	.	.	PUNCT
ejpam-3014	258	1	then	then	ADV
ejpam-3014	258	2	(	(	PUNCT
ejpam-3014	258	3	[	[	X
ejpam-3014	258	4	0	0	NUM
ejpam-3014	258	5	,	,	PUNCT
ejpam-3014	258	6	1	1	NUM
ejpam-3014	258	7	]	]	PUNCT
ejpam-3014	258	8	,	,	PUNCT
ejpam-3014	258	9	p	p	NOUN
ejpam-3014	258	10	)	)	PUNCT
ejpam-3014	258	11	is	be	AUX
ejpam-3014	258	12	isomorphic	isomorphic	ADJ
ejpam-3014	258	13	to	to	ADP
ejpam-3014	258	14	(	(	PUNCT
ejpam-3014	258	15	[	[	X
ejpam-3014	258	16	0,+∞	0,+∞	NUM
ejpam-3014	258	17	]	]	X
ejpam-3014	258	18	,	,	PUNCT
ejpam-3014	258	19	p	p	X
ejpam-3014	258	20	)	)	PUNCT
ejpam-3014	258	21	by	by	ADP
ejpam-3014	258	22	the	the	DET
ejpam-3014	258	23	same	same	ADJ
ejpam-3014	258	24	function	function	NOUN
ejpam-3014	258	25	ϕ(x	ϕ(x	X
ejpam-3014	258	26	)	)	PUNCT
ejpam-3014	258	27	=	=	PUNCT
ejpam-3014	259	1	−	−	PROPN
ejpam-3014	259	2	lnx	lnx	PROPN
ejpam-3014	259	3	if	if	SCONJ
ejpam-3014	259	4	and	and	CCONJ
ejpam-3014	259	5	only	only	ADV
ejpam-3014	259	6	if	if	SCONJ
ejpam-3014	259	7	g(−	g(−	VERB
ejpam-3014	259	8	ln	ln	ADJ
ejpam-3014	259	9	f−1(x	f−1(x	NOUN
ejpam-3014	259	10	)	)	PUNCT
ejpam-3014	259	11	)	)	PUNCT
ejpam-3014	260	1	=	=	PUNCT
ejpam-3014	261	1	−	−	PROPN
ejpam-3014	261	2	lnx	lnx	PROPN
ejpam-3014	261	3	.	.	PUNCT
ejpam-3014	262	1	open	open	ADJ
ejpam-3014	262	2	question	question	NOUN
ejpam-3014	262	3	does	do	AUX
ejpam-3014	262	4	exist	exist	VERB
ejpam-3014	262	5	a	a	DET
ejpam-3014	262	6	bijective	bijective	ADJ
ejpam-3014	262	7	and	and	CCONJ
ejpam-3014	262	8	decreasing	decrease	VERB
ejpam-3014	262	9	morphism	morphism	NOUN
ejpam-3014	262	10	ϕ	ϕ	NOUN
ejpam-3014	262	11	:	:	PUNCT
ejpam-3014	263	1	[	[	X
ejpam-3014	263	2	0	0	NUM
ejpam-3014	263	3	,	,	PUNCT
ejpam-3014	263	4	1]→	1]→	NOUN
ejpam-3014	264	1	[	[	X
ejpam-3014	264	2	0,+∞	0,+∞	NUM
ejpam-3014	264	3	]	]	X
ejpam-3014	264	4	such	such	ADJ
ejpam-3014	264	5	that	that	SCONJ
ejpam-3014	264	6	ϕ(asb	ϕ(asb	NOUN
ejpam-3014	264	7	)	)	PUNCT
ejpam-3014	264	8	=	=	SYM
ejpam-3014	264	9	ϕ(a)sϕ(b	ϕ(a)sϕ(b	PROPN
ejpam-3014	264	10	)	)	PUNCT
ejpam-3014	264	11	,	,	PUNCT
ejpam-3014	264	12	i.e.	i.e.	X
ejpam-3014	264	13	,	,	PUNCT
ejpam-3014	264	14	ϕ(ab	ϕ(ab	ADV
ejpam-3014	264	15	)	)	PUNCT
ejpam-3014	264	16	=	=	SYM
ejpam-3014	265	1	ϕ(a	ϕ(a	NOUN
ejpam-3014	265	2	)	)	PUNCT
ejpam-3014	266	1	+	+	CCONJ
ejpam-3014	266	2	ϕ(b	ϕ(b	PROPN
ejpam-3014	266	3	)	)	PUNCT
ejpam-3014	266	4	;	;	PUNCT
ejpam-3014	267	1	ϕ(apb	ϕ(apb	X
ejpam-3014	267	2	)	)	PUNCT
ejpam-3014	267	3	=	=	SYM
ejpam-3014	267	4	ϕ(a)pϕ(b	ϕ(a)pϕ(b	NOUN
ejpam-3014	267	5	)	)	PUNCT
ejpam-3014	267	6	,	,	PUNCT
ejpam-3014	267	7	i.e.	i.e.	X
ejpam-3014	267	8	,	,	PUNCT
ejpam-3014	267	9	ϕ(a+	ϕ(a+	ADJ
ejpam-3014	267	10	b−	b−	PROPN
ejpam-3014	267	11	ab	ab	PROPN
ejpam-3014	267	12	)	)	PUNCT
ejpam-3014	267	13	=	=	SYM
ejpam-3014	267	14	ϕ(a)ϕ(b	ϕ(a)ϕ(b	ADJ
ejpam-3014	267	15	)	)	PUNCT
ejpam-3014	267	16	ϕ(a)+ϕ(b	ϕ(a)+ϕ(b	NOUN
ejpam-3014	267	17	)	)	PUNCT
ejpam-3014	267	18	?	?	PUNCT
ejpam-3014	268	1	6	6	X
ejpam-3014	268	2	.	.	X
ejpam-3014	268	3	conclusions	conclusion	NOUN
ejpam-3014	268	4	in	in	ADP
ejpam-3014	268	5	sections	section	NOUN
ejpam-3014	268	6	2	2	NUM
ejpam-3014	268	7	-	-	SYM
ejpam-3014	268	8	3	3	NUM
ejpam-3014	268	9	were	be	AUX
ejpam-3014	268	10	examined	examine	VERB
ejpam-3014	268	11	some	some	DET
ejpam-3014	268	12	reliability	reliability	NOUN
ejpam-3014	268	13	optimization	optimization	NOUN
ejpam-3014	268	14	problems	problem	NOUN
ejpam-3014	268	15	:	:	PUNCT
ejpam-3014	268	16	(	(	PUNCT
ejpam-3014	268	17	1	1	X
ejpam-3014	268	18	)	)	PUNCT
ejpam-3014	268	19	optimization	optimization	NOUN
ejpam-3014	268	20	of	of	ADP
ejpam-3014	268	21	series	series	NOUN
ejpam-3014	268	22	-	-	PUNCT
ejpam-3014	268	23	parallel	parallel	ADJ
ejpam-3014	268	24	systems	system	NOUN
ejpam-3014	268	25	,	,	PUNCT
ejpam-3014	268	26	(	(	PUNCT
ejpam-3014	268	27	2	2	X
ejpam-3014	268	28	)	)	PUNCT
ejpam-3014	268	29	optimization	optimization	NOUN
ejpam-3014	268	30	of	of	ADP
ejpam-3014	268	31	series	series	NOUN
ejpam-3014	268	32	-	-	PUNCT
ejpam-3014	268	33	parallel	parallel	ADJ
ejpam-3014	268	34	systems	system	NOUN
ejpam-3014	268	35	,	,	PUNCT
ejpam-3014	268	36	with	with	ADP
ejpam-3014	268	37	additional	additional	ADJ
ejpam-3014	268	38	assumptions	assumption	NOUN
ejpam-3014	268	39	,	,	PUNCT
ejpam-3014	268	40	(	(	PUNCT
ejpam-3014	268	41	3	3	X
ejpam-3014	268	42	)	)	PUNCT
ejpam-3014	268	43	designing	design	VERB
ejpam-3014	268	44	series	series	NOUN
ejpam-3014	268	45	-	-	PUNCT
ejpam-3014	268	46	parallel	parallel	ADJ
ejpam-3014	268	47	systems	system	NOUN
ejpam-3014	268	48	by	by	ADP
ejpam-3014	268	49	similarities	similarity	NOUN
ejpam-3014	268	50	,	,	PUNCT
ejpam-3014	268	51	(	(	PUNCT
ejpam-3014	268	52	4	4	X
ejpam-3014	268	53	)	)	PUNCT
ejpam-3014	268	54	minimizing	minimize	VERB
ejpam-3014	268	55	the	the	DET
ejpam-3014	268	56	geometric	geometric	ADJ
ejpam-3014	268	57	mean	mean	NOUN
ejpam-3014	268	58	with	with	ADP
ejpam-3014	268	59	significative	significative	ADJ
ejpam-3014	268	60	constraints	constraint	NOUN
ejpam-3014	268	61	.	.	PUNCT
ejpam-3014	269	1	section	section	NOUN
ejpam-3014	269	2	4	4	NUM
ejpam-3014	269	3	rises	rise	NOUN
ejpam-3014	269	4	and	and	CCONJ
ejpam-3014	269	5	solves	solve	VERB
ejpam-3014	269	6	the	the	DET
ejpam-3014	269	7	problem	problem	NOUN
ejpam-3014	269	8	of	of	ADP
ejpam-3014	269	9	mathematical	mathematical	ADJ
ejpam-3014	269	10	relationship	relationship	NOUN
ejpam-3014	269	11	between	between	ADP
ejpam-3014	269	12	total	total	ADJ
ejpam-3014	269	13	resistance	resistance	NOUN
ejpam-3014	269	14	of	of	ADP
ejpam-3014	269	15	an	an	DET
ejpam-3014	269	16	electrical	electrical	ADJ
ejpam-3014	269	17	circuit	circuit	NOUN
ejpam-3014	269	18	and	and	CCONJ
ejpam-3014	269	19	total	total	ADJ
ejpam-3014	269	20	reliability	reliability	NOUN
ejpam-3014	269	21	of	of	ADP
ejpam-3014	269	22	a	a	DET
ejpam-3014	269	23	reliability	reliability	NOUN
ejpam-3014	269	24	system	system	NOUN
ejpam-3014	269	25	.	.	PUNCT
ejpam-3014	270	1	as	as	ADP
ejpam-3014	270	2	consequence	consequence	NOUN
ejpam-3014	270	3	,	,	PUNCT
ejpam-3014	270	4	there	there	PRON
ejpam-3014	270	5	are	be	VERB
ejpam-3014	270	6	introduced	introduce	VERB
ejpam-3014	270	7	”	"	PUNCT
ejpam-3014	270	8	reliability	reliability	NOUN
ejpam-3014	270	9	batteries	battery	NOUN
ejpam-3014	270	10	”	"	PUNCT
ejpam-3014	270	11	with	with	ADP
ejpam-3014	270	12	minimum	minimum	ADJ
ejpam-3014	270	13	intensity	intensity	NOUN
ejpam-3014	270	14	.	.	PUNCT
ejpam-3014	271	1	the	the	DET
ejpam-3014	271	2	fundamental	fundamental	ADJ
ejpam-3014	271	3	characteristic	characteristic	NOUN
ejpam-3014	271	4	of	of	ADP
ejpam-3014	271	5	our	our	PRON
ejpam-3014	271	6	techniques	technique	NOUN
ejpam-3014	271	7	is	be	AUX
ejpam-3014	271	8	that	that	SCONJ
ejpam-3014	271	9	similar	similar	ADJ
ejpam-3014	271	10	techniques	technique	NOUN
ejpam-3014	271	11	can	can	AUX
ejpam-3014	271	12	be	be	AUX
ejpam-3014	271	13	applied	apply	VERB
ejpam-3014	271	14	for	for	ADP
ejpam-3014	271	15	simple	simple	ADJ
ejpam-3014	271	16	and	and	CCONJ
ejpam-3014	271	17	complex	complex	ADJ
ejpam-3014	271	18	reliability	reliability	NOUN
ejpam-3014	271	19	systems	system	NOUN
ejpam-3014	271	20	.	.	PUNCT
ejpam-3014	272	1	references	reference	NOUN
ejpam-3014	272	2	[	[	X
ejpam-3014	272	3	1	1	NUM
ejpam-3014	272	4	]	]	PUNCT
ejpam-3014	272	5	k.	k.	PROPN
ejpam-3014	272	6	k.	k.	PROPN
ejpam-3014	272	7	aggarwal	aggarwal	PROPN
ejpam-3014	272	8	and	and	CCONJ
ejpam-3014	272	9	j.	j.	PROPN
ejpam-3014	272	10	s.	s.	PROPN
ejpam-3014	272	11	gupta	gupta	PROPN
ejpam-3014	272	12	.	.	PUNCT
ejpam-3014	273	1	on	on	ADP
ejpam-3014	273	2	minimizing	minimize	VERB
ejpam-3014	273	3	the	the	DET
ejpam-3014	273	4	cost	cost	NOUN
ejpam-3014	273	5	of	of	ADP
ejpam-3014	273	6	reliable	reliable	ADJ
ejpam-3014	273	7	systems	system	NOUN
ejpam-3014	273	8	.	.	PUNCT
ejpam-3014	274	1	ieee	ieee	PROPN
ejpam-3014	274	2	t.	t.	PROPN
ejpam-3014	274	3	reliab	reliab	PROPN
ejpam-3014	274	4	.	.	PUNCT
ejpam-3014	274	5	,	,	PUNCT
ejpam-3014	274	6	r-24	r-24	NOUN
ejpam-3014	274	7	,	,	PUNCT
ejpam-3014	274	8	205	205	NUM
ejpam-3014	274	9	-	-	SYM
ejpam-3014	274	10	206	206	NUM
ejpam-3014	274	11	,	,	PUNCT
ejpam-3014	274	12	1975	1975	NUM
ejpam-3014	274	13	.	.	PUNCT
ejpam-3014	275	1	[	[	X
ejpam-3014	275	2	2	2	NUM
ejpam-3014	275	3	]	]	PUNCT
ejpam-3014	275	4	j.-f	j.-f	NOUN
ejpam-3014	275	5	.	.	PUNCT
ejpam-3014	276	1	auby	auby	PROPN
ejpam-3014	276	2	and	and	CCONJ
ejpam-3014	276	3	n.	n.	PROPN
ejpam-3014	276	4	brinzei	brinzei	PROPN
ejpam-3014	276	5	.	.	PUNCT
ejpam-3014	277	1	systems	system	NOUN
ejpam-3014	277	2	dependability	dependability	NOUN
ejpam-3014	277	3	assessment	assessment	NOUN
ejpam-3014	277	4	modeling	modeling	NOUN
ejpam-3014	277	5	with	with	ADP
ejpam-3014	277	6	graphs	graph	NOUN
ejpam-3014	277	7	and	and	CCONJ
ejpam-3014	277	8	finite	finite	VERB
ejpam-3014	277	9	state	state	NOUN
ejpam-3014	277	10	automata	automata	NOUN
ejpam-3014	277	11	.	.	PUNCT
ejpam-3014	278	1	john	john	PROPN
ejpam-3014	278	2	wiley	wiley	PROPN
ejpam-3014	278	3	and	and	CCONJ
ejpam-3014	278	4	sons	son	NOUN
ejpam-3014	278	5	,	,	PUNCT
ejpam-3014	278	6	inc	inc	PROPN
ejpam-3014	278	7	.	.	PROPN
ejpam-3014	278	8	,	,	PUNCT
ejpam-3014	278	9	2015	2015	NUM
ejpam-3014	278	10	.	.	PUNCT
ejpam-3014	279	1	[	[	X
ejpam-3014	279	2	3	3	X
ejpam-3014	279	3	]	]	PUNCT
ejpam-3014	279	4	c.	c.	NOUN
ejpam-3014	279	5	beightler	beightler	NOUN
ejpam-3014	279	6	and	and	CCONJ
ejpam-3014	279	7	d.	d.	PROPN
ejpam-3014	279	8	t.	t.	PROPN
ejpam-3014	279	9	phillips	phillips	PROPN
ejpam-3014	279	10	.	.	PUNCT
ejpam-3014	280	1	applied	apply	VERB
ejpam-3014	280	2	geometric	geometric	ADJ
ejpam-3014	280	3	programming	programming	NOUN
ejpam-3014	280	4	.	.	PUNCT
ejpam-3014	281	1	john	john	PROPN
ejpam-3014	281	2	wiley	wiley	PROPN
ejpam-3014	281	3	and	and	CCONJ
ejpam-3014	281	4	sons	son	NOUN
ejpam-3014	281	5	,	,	PUNCT
ejpam-3014	281	6	inc	inc	PROPN
ejpam-3014	281	7	.	.	PROPN
ejpam-3014	281	8	,	,	PUNCT
ejpam-3014	281	9	new	new	PROPN
ejpam-3014	281	10	york	york	PROPN
ejpam-3014	281	11	,	,	PUNCT
ejpam-3014	281	12	1976	1976	NUM
ejpam-3014	281	13	.	.	PUNCT
ejpam-3014	282	1	[	[	X
ejpam-3014	282	2	4	4	X
ejpam-3014	282	3	]	]	PUNCT
ejpam-3014	282	4	l.	l.	PROPN
ejpam-3014	282	5	a.	a.	PROPN
ejpam-3014	282	6	baxter	baxter	PROPN
ejpam-3014	282	7	and	and	CCONJ
ejpam-3014	282	8	f.	f.	PROPN
ejpam-3014	282	9	harche	harche	PROPN
ejpam-3014	282	10	.	.	PUNCT
ejpam-3014	283	1	on	on	ADP
ejpam-3014	283	2	the	the	DET
ejpam-3014	283	3	optimal	optimal	ADJ
ejpam-3014	283	4	assembly	assembly	NOUN
ejpam-3014	283	5	of	of	ADP
ejpam-3014	283	6	series	series	NOUN
ejpam-3014	283	7	-	-	PUNCT
ejpam-3014	283	8	parallel	parallel	ADJ
ejpam-3014	283	9	systems	system	NOUN
ejpam-3014	283	10	.	.	PUNCT
ejpam-3014	284	1	oper	oper	PROPN
ejpam-3014	284	2	.	.	PUNCT
ejpam-3014	285	1	res	res	PROPN
ejpam-3014	285	2	.	.	PUNCT
ejpam-3014	286	1	lett	lett	PROPN
ejpam-3014	286	2	.	.	PROPN
ejpam-3014	286	3	,	,	PUNCT
ejpam-3014	286	4	11:153	11:153	NUM
ejpam-3014	286	5	-	-	SYM
ejpam-3014	286	6	157	157	NUM
ejpam-3014	286	7	,	,	PUNCT
ejpam-3014	286	8	1992	1992	NUM
ejpam-3014	286	9	.	.	PUNCT
ejpam-3014	287	1	references	reference	NOUN
ejpam-3014	287	2	889	889	NUM
ejpam-3014	288	1	[	[	X
ejpam-3014	288	2	5	5	NUM
ejpam-3014	288	3	]	]	PUNCT
ejpam-3014	288	4	o.	o.	ADJ
ejpam-3014	288	5	calin	calin	PROPN
ejpam-3014	288	6	,	,	PUNCT
ejpam-3014	288	7	c.	c.	PROPN
ejpam-3014	288	8	udrişte	udrişte	PROPN
ejpam-3014	288	9	.	.	PUNCT
ejpam-3014	289	1	geometric	geometric	ADJ
ejpam-3014	289	2	modeling	modeling	NOUN
ejpam-3014	289	3	in	in	ADP
ejpam-3014	289	4	probability	probability	NOUN
ejpam-3014	289	5	and	and	CCONJ
ejpam-3014	289	6	statistics	statistic	NOUN
ejpam-3014	289	7	.	.	PUNCT
ejpam-3014	290	1	springer	springer	NOUN
ejpam-3014	290	2	,	,	PUNCT
ejpam-3014	290	3	2014	2014	NUM
ejpam-3014	290	4	.	.	PUNCT
ejpam-3014	291	1	[	[	X
ejpam-3014	291	2	6	6	NUM
ejpam-3014	291	3	]	]	PUNCT
ejpam-3014	291	4	k.	k.	PROPN
ejpam-3014	291	5	dohmen	dohmen	PROPN
ejpam-3014	291	6	.	.	PUNCT
ejpam-3014	292	1	inclusion	inclusion	NOUN
ejpam-3014	292	2	-	-	PUNCT
ejpam-3014	292	3	exclusion	exclusion	NOUN
ejpam-3014	292	4	and	and	CCONJ
ejpam-3014	292	5	network	network	NOUN
ejpam-3014	292	6	reliability	reliability	NOUN
ejpam-3014	292	7	.	.	PUNCT
ejpam-3014	293	1	the	the	DET
ejpam-3014	293	2	electronic	electronic	ADJ
ejpam-3014	293	3	journal	journal	NOUN
ejpam-3014	293	4	of	of	ADP
ejpam-3014	293	5	combinatorics	combinatorics	PROPN
ejpam-3014	293	6	,	,	PUNCT
ejpam-3014	293	7	research	research	NOUN
ejpam-3014	293	8	paper	paper	NOUN
ejpam-3014	293	9	r36(5):1	r36(5):1	NOUN
ejpam-3014	293	10	-	-	SYM
ejpam-3014	293	11	8	8	NUM
ejpam-3014	293	12	,	,	PUNCT
ejpam-3014	293	13	1998	1998	NUM
ejpam-3014	293	14	.	.	PUNCT
ejpam-3014	294	1	[	[	X
ejpam-3014	294	2	7	7	X
ejpam-3014	294	3	]	]	X
ejpam-3014	294	4	w.	w.	PROPN
ejpam-3014	294	5	kuo	kuo	PROPN
ejpam-3014	294	6	and	and	CCONJ
ejpam-3014	294	7	v.	v.	PROPN
ejpam-3014	294	8	r.	r.	PROPN
ejpam-3014	294	9	prasad	prasad	PROPN
ejpam-3014	294	10	.	.	PUNCT
ejpam-3014	295	1	an	an	DET
ejpam-3014	295	2	annotated	annotate	VERB
ejpam-3014	295	3	overview	overview	NOUN
ejpam-3014	295	4	of	of	ADP
ejpam-3014	295	5	system	system	NOUN
ejpam-3014	295	6	-	-	PUNCT
ejpam-3014	295	7	reliability	reliability	NOUN
ejpam-3014	295	8	optimization	optimization	NOUN
ejpam-3014	295	9	.	.	PUNCT
ejpam-3014	296	1	ieee	ieee	PROPN
ejpam-3014	296	2	t.	t.	PROPN
ejpam-3014	296	3	reliab	reliab	PROPN
ejpam-3014	296	4	.	.	PUNCT
ejpam-3014	296	5	,	,	PUNCT
ejpam-3014	296	6	49:176	49:176	NOUN
ejpam-3014	296	7	-	-	PUNCT
ejpam-3014	296	8	187	187	NUM
ejpam-3014	296	9	,	,	PUNCT
ejpam-3014	296	10	2000	2000	NUM
ejpam-3014	296	11	.	.	PUNCT
ejpam-3014	297	1	[	[	X
ejpam-3014	297	2	8	8	NUM
ejpam-3014	297	3	]	]	PUNCT
ejpam-3014	297	4	a.	a.	NOUN
ejpam-3014	297	5	mettas	metta	NOUN
ejpam-3014	297	6	.	.	PUNCT
ejpam-3014	298	1	reliability	reliability	NOUN
ejpam-3014	298	2	allocation	allocation	NOUN
ejpam-3014	298	3	and	and	CCONJ
ejpam-3014	298	4	optimization	optimization	NOUN
ejpam-3014	298	5	for	for	ADP
ejpam-3014	298	6	complex	complex	ADJ
ejpam-3014	298	7	systems	system	NOUN
ejpam-3014	298	8	.	.	PUNCT
ejpam-3014	299	1	p.	p.	NOUN
ejpam-3014	299	2	a.	a.	PROPN
ejpam-3014	299	3	rel	rel	PROPN
ejpam-3014	299	4	.	.	PUNCT
ejpam-3014	300	1	mai	mai	PROPN
ejpam-3014	300	2	.	.	PROPN
ejpam-3014	300	3	,	,	PUNCT
ejpam-3014	300	4	los	los	PROPN
ejpam-3014	300	5	angeles	angeles	PROPN
ejpam-3014	300	6	,	,	PUNCT
ejpam-3014	300	7	ca	can	AUX
ejpam-3014	300	8	,	,	PUNCT
ejpam-3014	300	9	216	216	NUM
ejpam-3014	300	10	-	-	SYM
ejpam-3014	300	11	221	221	NUM
ejpam-3014	300	12	,	,	PUNCT
ejpam-3014	300	13	2000	2000	NUM
ejpam-3014	300	14	.	.	PUNCT
ejpam-3014	301	1	[	[	X
ejpam-3014	301	2	9	9	NUM
ejpam-3014	301	3	]	]	PUNCT
ejpam-3014	301	4	k.	k.	PROPN
ejpam-3014	301	5	b.	b.	PROPN
ejpam-3014	301	6	misra	misra	PROPN
ejpam-3014	301	7	and	and	CCONJ
ejpam-3014	301	8	s.	s.	PROPN
ejpam-3014	301	9	usha	usha	PROPN
ejpam-3014	301	10	.	.	PUNCT
ejpam-3014	302	1	multicriteria	multicriteria	PROPN
ejpam-3014	302	2	optimization	optimization	NOUN
ejpam-3014	302	3	for	for	ADP
ejpam-3014	302	4	combined	combine	VERB
ejpam-3014	302	5	reliability	reliability	NOUN
ejpam-3014	302	6	and	and	CCONJ
ejpam-3014	302	7	redundancy	redundancy	NOUN
ejpam-3014	302	8	allocations	allocation	NOUN
ejpam-3014	302	9	in	in	ADP
ejpam-3014	302	10	systems	system	NOUN
ejpam-3014	302	11	employing	employ	VERB
ejpam-3014	302	12	mixed	mixed	ADJ
ejpam-3014	302	13	redundancies	redundancy	NOUN
ejpam-3014	302	14	.	.	PUNCT
ejpam-3014	303	1	microelectron	microelectron	PROPN
ejpam-3014	303	2	.	.	PUNCT
ejpam-3014	304	1	reliab	reliab	PROPN
ejpam-3014	304	2	.	.	PUNCT
ejpam-3014	304	3	,	,	PUNCT
ejpam-3014	304	4	31:323	31:323	NUM
ejpam-3014	304	5	-	-	SYM
ejpam-3014	304	6	335	335	NUM
ejpam-3014	304	7	,	,	PUNCT
ejpam-3014	304	8	1991	1991	NUM
ejpam-3014	304	9	.	.	PUNCT
ejpam-3014	305	1	[	[	X
ejpam-3014	305	2	10	10	NUM
ejpam-3014	305	3	]	]	X
ejpam-3014	305	4	f.	f.	PROPN
ejpam-3014	305	5	tillman	tillman	PROPN
ejpam-3014	305	6	,	,	PUNCT
ejpam-3014	305	7	c.	c.	PROPN
ejpam-3014	305	8	hwang	hwang	PROPN
ejpam-3014	305	9	and	and	CCONJ
ejpam-3014	305	10	w.	w.	PROPN
ejpam-3014	305	11	kuo	kuo	PROPN
ejpam-3014	305	12	.	.	PUNCT
ejpam-3014	305	13	optimization	optimization	NOUN
ejpam-3014	305	14	of	of	ADP
ejpam-3014	305	15	systems	system	NOUN
ejpam-3014	305	16	reliability	reliability	NOUN
ejpam-3014	305	17	.	.	PUNCT
ejpam-3014	306	1	marcel	marcel	PROPN
ejpam-3014	306	2	dekker	dekker	PROPN
ejpam-3014	306	3	,	,	PUNCT
ejpam-3014	306	4	inc	inc	PROPN
ejpam-3014	306	5	.	.	PROPN
ejpam-3014	306	6	,	,	PUNCT
ejpam-3014	306	7	1980	1980	NUM
ejpam-3014	306	8	.	.	PUNCT
ejpam-3014	307	1	[	[	X
ejpam-3014	307	2	11	11	NUM
ejpam-3014	307	3	]	]	X
ejpam-3014	307	4	c.	c.	PROPN
ejpam-3014	307	5	udrişte	udrişte	PROPN
ejpam-3014	307	6	,	,	PUNCT
ejpam-3014	307	7	e.	e.	PROPN
ejpam-3014	307	8	tănăsescu	tănăsescu	PROPN
ejpam-3014	307	9	.	.	PUNCT
ejpam-3014	308	1	minima	minima	VERB
ejpam-3014	308	2	and	and	CCONJ
ejpam-3014	308	3	maxima	maxima	NOUN
ejpam-3014	308	4	of	of	ADP
ejpam-3014	308	5	real	real	ADJ
ejpam-3014	308	6	functions	function	NOUN
ejpam-3014	308	7	of	of	ADP
ejpam-3014	308	8	real	real	ADJ
ejpam-3014	308	9	variables	variable	NOUN
ejpam-3014	308	10	(	(	PUNCT
ejpam-3014	308	11	in	in	ADP
ejpam-3014	308	12	romanian	romanian	NOUN
ejpam-3014	308	13	)	)	PUNCT
ejpam-3014	308	14	.	.	PUNCT
ejpam-3014	309	1	technical	technical	ADJ
ejpam-3014	309	2	editorial	editorial	PROPN
ejpam-3014	309	3	house	house	NOUN
ejpam-3014	309	4	,	,	PUNCT
ejpam-3014	309	5	bucharest	buchar	ADJ
ejpam-3014	309	6	,	,	PUNCT
ejpam-3014	309	7	1980	1980	NUM
ejpam-3014	309	8	.	.	PUNCT
ejpam-3014	310	1	[	[	X
ejpam-3014	310	2	12	12	NUM
ejpam-3014	310	3	]	]	X
ejpam-3014	310	4	c.	c.	PROPN
ejpam-3014	310	5	udrişte	udrişte	PROPN
ejpam-3014	310	6	.	.	PUNCT
ejpam-3014	311	1	convex	convex	NOUN
ejpam-3014	311	2	functions	function	NOUN
ejpam-3014	311	3	and	and	CCONJ
ejpam-3014	311	4	optimization	optimization	NOUN
ejpam-3014	311	5	methods	method	NOUN
ejpam-3014	311	6	on	on	ADP
ejpam-3014	311	7	riemannian	riemannian	ADJ
ejpam-3014	311	8	manifolds	manifold	NOUN
ejpam-3014	311	9	.	.	PUNCT
ejpam-3014	312	1	kluwer	kluwer	PROPN
ejpam-3014	312	2	academic	academic	PROPN
ejpam-3014	312	3	publisheres	publishere	NOUN
ejpam-3014	312	4	,	,	PUNCT
ejpam-3014	312	5	1994	1994	NUM
ejpam-3014	312	6	.	.	PUNCT
ejpam-3014	313	1	[	[	X
ejpam-3014	313	2	13	13	NUM
ejpam-3014	313	3	]	]	X
ejpam-3014	313	4	c.	c.	PROPN
ejpam-3014	313	5	udrişte	udrişte	PROPN
ejpam-3014	313	6	.	.	PUNCT
ejpam-3014	314	1	comparing	compare	VERB
ejpam-3014	314	2	variants	variant	NOUN
ejpam-3014	314	3	of	of	ADP
ejpam-3014	314	4	single	single	ADJ
ejpam-3014	314	5	-	-	PUNCT
ejpam-3014	314	6	time	time	NOUN
ejpam-3014	314	7	stochastic	stochastic	ADJ
ejpam-3014	314	8	maximum	maximum	ADJ
ejpam-3014	314	9	principle	principle	NOUN
ejpam-3014	314	10	.	.	PUNCT
ejpam-3014	315	1	recent	recent	ADJ
ejpam-3014	315	2	advances	advance	NOUN
ejpam-3014	315	3	on	on	ADP
ejpam-3014	315	4	computational	computational	ADJ
ejpam-3014	315	5	science	science	NOUN
ejpam-3014	315	6	and	and	CCONJ
ejpam-3014	315	7	applications	application	NOUN
ejpam-3014	315	8	,	,	PUNCT
ejpam-3014	315	9	23	23	NUM
ejpam-3014	315	10	-	-	SYM
ejpam-3014	315	11	28	28	NUM
ejpam-3014	315	12	;	;	PUNCT
ejpam-3014	315	13	4	4	NUM
ejpam-3014	315	14	-	-	PUNCT
ejpam-3014	315	15	th	th	X
ejpam-3014	315	16	international	international	ADJ
ejpam-3014	315	17	conference	conference	NOUN
ejpam-3014	315	18	on	on	ADP
ejpam-3014	315	19	applied	applied	ADJ
ejpam-3014	315	20	and	and	CCONJ
ejpam-3014	315	21	computational	computational	ADJ
ejpam-3014	315	22	mathematics	mathematic	NOUN
ejpam-3014	315	23	(	(	PUNCT
ejpam-3014	315	24	icacm’15	icacm’15	PROPN
ejpam-3014	315	25	)	)	PUNCT
ejpam-3014	315	26	,	,	PUNCT
ejpam-3014	315	27	seoul	seoul	PROPN
ejpam-3014	315	28	,	,	PUNCT
ejpam-3014	315	29	south	south	PROPN
ejpam-3014	315	30	korea	korea	PROPN
ejpam-3014	315	31	,	,	PUNCT
ejpam-3014	315	32	september	september	PROPN
ejpam-3014	315	33	5	5	NUM
ejpam-3014	315	34	-	-	SYM
ejpam-3014	315	35	7	7	NUM
ejpam-3014	315	36	,	,	PUNCT
ejpam-3014	315	37	2015	2015	NUM
ejpam-3014	315	38	.	.	PUNCT
ejpam-3014	316	1	[	[	X
ejpam-3014	316	2	14	14	NUM
ejpam-3014	316	3	]	]	X
ejpam-3014	316	4	c.	c.	PROPN
ejpam-3014	316	5	udrişte	udrişte	PROPN
ejpam-3014	316	6	,	,	PUNCT
ejpam-3014	316	7	s.	s.	PROPN
ejpam-3014	316	8	a.	a.	PROPN
ejpam-3014	316	9	abed	abed	PROPN
ejpam-3014	316	10	and	and	CCONJ
ejpam-3014	316	11	a.	a.	PROPN
ejpam-3014	316	12	s.	s.	PROPN
ejpam-3014	316	13	rasheed	rasheed	PROPN
ejpam-3014	316	14	.	.	PUNCT
ejpam-3014	317	1	optimal	optimal	ADJ
ejpam-3014	317	2	reliability	reliability	NOUN
ejpam-3014	317	3	allocation	allocation	NOUN
ejpam-3014	317	4	.	.	PUNCT
ejpam-3014	318	1	american	american	PROPN
ejpam-3014	318	2	review	review	PROPN
ejpam-3014	318	3	of	of	ADP
ejpam-3014	318	4	mathematics	mathematic	NOUN
ejpam-3014	318	5	and	and	CCONJ
ejpam-3014	318	6	statistics	statistic	NOUN
ejpam-3014	318	7	,	,	PUNCT
ejpam-3014	318	8	doi	doi	NOUN
ejpam-3014	318	9	:	:	PUNCT
ejpam-3014	318	10	10.15640	10.15640	NUM
ejpam-3014	318	11	/	/	SYM
ejpam-3014	318	12	arms	arm	NOUN
ejpam-3014	318	13	,	,	PUNCT
ejpam-3014	318	14	4(2):82	4(2):82	NUM
ejpam-3014	318	15	-	-	SYM
ejpam-3014	318	16	91	91	NUM
ejpam-3014	318	17	,	,	PUNCT
ejpam-3014	318	18	2016	2016	NUM
ejpam-3014	318	19	.	.	PUNCT
ejpam-3014	319	1	[	[	X
ejpam-3014	319	2	15	15	NUM
ejpam-3014	319	3	]	]	X
ejpam-3014	319	4	c.	c.	PROPN
ejpam-3014	319	5	udrişte	udrişte	PROPN
ejpam-3014	319	6	,	,	PUNCT
ejpam-3014	319	7	s.	s.	PROPN
ejpam-3014	319	8	a.	a.	PROPN
ejpam-3014	319	9	abed	abe	VERB
ejpam-3014	319	10	and	and	CCONJ
ejpam-3014	319	11	ionel	ionel	PROPN
ejpam-3014	319	12	ţevy	ţevy	PROPN
ejpam-3014	319	13	.	.	PUNCT
ejpam-3014	320	1	geometric	geometric	ADJ
ejpam-3014	320	2	programming	programming	NOUN
ejpam-3014	320	3	approaches	approach	NOUN
ejpam-3014	320	4	of	of	ADP
ejpam-3014	320	5	reliability	reliability	NOUN
ejpam-3014	320	6	allocation	allocation	NOUN
ejpam-3014	320	7	.	.	PUNCT
ejpam-3014	321	1	u.p.b	u.p.b	PROPN
ejpam-3014	321	2	.	.	PUNCT
ejpam-3014	322	1	sci	sci	PROPN
ejpam-3014	322	2	.	.	PUNCT
ejpam-3014	322	3	bull	bull	PROPN
ejpam-3014	322	4	.	.	PUNCT
ejpam-3014	322	5	,	,	PUNCT
ejpam-3014	322	6	2017	2017	NUM
ejpam-3014	322	7	,	,	PUNCT
ejpam-3014	322	8	79(3	79(3	NUM
ejpam-3014	322	9	):	):	PUNCT
ejpam-3014	322	10	3	3	NUM
ejpam-3014	322	11	-	-	SYM
ejpam-3014	322	12	10	10	NUM
ejpam-3014	322	13	,	,	PUNCT
ejpam-3014	322	14	2017	2017	NUM
ejpam-3014	322	15	.	.	PUNCT
ejpam-3014	323	1	[	[	X
ejpam-3014	323	2	16	16	NUM
ejpam-3014	323	3	]	]	X
ejpam-3014	323	4	l.	l.	PROPN
ejpam-3014	323	5	d.	d.	PROPN
ejpam-3014	323	6	benett	benett	PROPN
ejpam-3014	323	7	.	.	PUNCT
ejpam-3014	324	1	the	the	DET
ejpam-3014	324	2	existence	existence	NOUN
ejpam-3014	324	3	of	of	ADP
ejpam-3014	324	4	equivalent	equivalent	ADJ
ejpam-3014	324	5	mathematical	mathematical	ADJ
ejpam-3014	324	6	programs	program	NOUN
ejpam-3014	324	7	for	for	ADP
ejpam-3014	324	8	certain	certain	ADJ
ejpam-3014	324	9	mixed	mixed	ADJ
ejpam-3014	324	10	equilibrium	equilibrium	NOUN
ejpam-3014	324	11	traffic	traffic	NOUN
ejpam-3014	324	12	assignment	assignment	NOUN
ejpam-3014	324	13	problems	problem	NOUN
ejpam-3014	324	14	.	.	PUNCT
ejpam-3014	325	1	eur	eur	PROPN
ejpam-3014	325	2	.	.	PUNCT
ejpam-3014	326	1	j.	j.	PROPN
ejpam-3014	326	2	oper	oper	PROPN
ejpam-3014	326	3	.	.	PUNCT
ejpam-3014	327	1	res	res	PROPN
ejpam-3014	327	2	.	.	PROPN
ejpam-3014	327	3	,	,	PUNCT
ejpam-3014	327	4	71(2):177	71(2):177	PROPN
ejpam-3014	327	5	-	-	NUM
ejpam-3014	327	6	187	187	NUM
ejpam-3014	327	7	,	,	PUNCT
ejpam-3014	327	8	1993	1993	NUM
ejpam-3014	327	9	.	.	PUNCT