id	sid	tid	token	lemma	pos
cana-1053	1	1	communications	communication	NOUN
cana-1053	1	2	on	on	ADP
cana-1053	1	3	applied	apply	VERB
cana-1053	1	4	nonlinear	nonlinear	ADJ
cana-1053	1	5	analysis	analysis	NOUN
cana-1053	1	6	issn	issn	NOUN
cana-1053	1	7	:	:	PUNCT
cana-1053	1	8	1074	1074	NUM
cana-1053	1	9	-	-	PUNCT
cana-1053	1	10	133x	133x	NUM
cana-1053	1	11	vol	vol	NOUN
cana-1053	1	12	31	31	NUM
cana-1053	1	13	no	no	NOUN
cana-1053	1	14	.	.	PUNCT
cana-1053	2	1	5s	5s	NUM
cana-1053	2	2	(	(	PUNCT
cana-1053	2	3	2024	2024	NUM
cana-1053	2	4	)	)	PUNCT
cana-1053	2	5	325	325	NUM
cana-1053	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	2	7	a	a	DET
cana-1053	2	8	widespread	widespread	ADJ
cana-1053	2	9	study	study	NOUN
cana-1053	2	10	of	of	ADP
cana-1053	2	11	inequalities	inequality	NOUN
cana-1053	2	12	instigating	instigate	VERB
cana-1053	2	13	through	through	ADP
cana-1053	2	14	discrete	discrete	ADJ
cana-1053	2	15	information	information	NOUN
cana-1053	2	16	models	model	NOUN
cana-1053	2	17	jatinder	jatinder	PROPN
cana-1053	2	18	kumar1	kumar1	PROPN
cana-1053	2	19	,	,	PUNCT
cana-1053	2	20	om	om	PROPN
cana-1053	2	21	parkash2	parkash2	PROPN
cana-1053	2	22	,	,	PUNCT
cana-1053	2	23	amit	amit	PROPN
cana-1053	2	24	paul3	paul3	PROPN
cana-1053	2	25	*	*	PROPN
cana-1053	2	26	,	,	PUNCT
cana-1053	2	27	deep	deep	ADJ
cana-1053	2	28	singh4	singh4	PROPN
cana-1053	2	29	1	1	NUM
cana-1053	2	30	department	department	NOUN
cana-1053	2	31	of	of	ADP
cana-1053	2	32	mathematics	mathematic	NOUN
cana-1053	2	33	,	,	PUNCT
cana-1053	2	34	guru	guru	NOUN
cana-1053	2	35	nanak	nanak	PROPN
cana-1053	2	36	dev	dev	PROPN
cana-1053	2	37	university	university	PROPN
cana-1053	2	38	,	,	PUNCT
cana-1053	2	39	amritsar	amritsar	PROPN
cana-1053	2	40	,	,	PUNCT
cana-1053	2	41	india	india	PROPN
cana-1053	2	42	email	email	NOUN
cana-1053	2	43	:	:	PUNCT
cana-1053	2	44	bhatiajkumar@gmail.com	bhatiajkumar@gmail.com	X
cana-1053	2	45	2	2	NUM
cana-1053	2	46	department	department	NOUN
cana-1053	2	47	of	of	ADP
cana-1053	2	48	mathematics	mathematic	NOUN
cana-1053	2	49	,	,	PUNCT
cana-1053	2	50	graphic	graphic	ADJ
cana-1053	2	51	era	era	NOUN
cana-1053	2	52	deemed	deem	VERB
cana-1053	2	53	to	to	PART
cana-1053	2	54	be	be	AUX
cana-1053	2	55	university	university	NOUN
cana-1053	2	56	,	,	PUNCT
cana-1053	2	57	dehradun	dehradun	PROPN
cana-1053	2	58	,	,	PUNCT
cana-1053	2	59	uttrakhand	uttrakhand	PROPN
cana-1053	2	60	india	india	PROPN
cana-1053	2	61	email	email	NOUN
cana-1053	2	62	:	:	PUNCT
cana-1053	2	63	omparkash777@yahoo.co.in	omparkash777@yahoo.co.in	PROPN
cana-1053	2	64	3	3	NUM
cana-1053	2	65	department	department	NOUN
cana-1053	2	66	of	of	ADP
cana-1053	2	67	mathematics	mathematic	NOUN
cana-1053	2	68	,	,	PUNCT
cana-1053	2	69	guru	guru	NOUN
cana-1053	2	70	nanak	nanak	PROPN
cana-1053	2	71	dev	dev	PROPN
cana-1053	2	72	university	university	PROPN
cana-1053	2	73	,	,	PUNCT
cana-1053	2	74	amritsar	amritsar	PROPN
cana-1053	2	75	,	,	PUNCT
cana-1053	2	76	india	india	PROPN
cana-1053	2	77	corresponding	corresponding	PROPN
cana-1053	2	78	author	author	NOUN
cana-1053	2	79	:	:	PUNCT
cana-1053	2	80	amitpaulcuj@gmail.com	amitpaulcuj@gmail.com	PROPN
cana-1053	2	81	4	4	NUM
cana-1053	2	82	department	department	NOUN
cana-1053	2	83	of	of	ADP
cana-1053	2	84	mathematics	mathematic	NOUN
cana-1053	2	85	and	and	CCONJ
cana-1053	2	86	statistics	statistic	NOUN
cana-1053	2	87	,	,	PUNCT
cana-1053	2	88	central	central	ADJ
cana-1053	2	89	university	university	NOUN
cana-1053	2	90	of	of	ADP
cana-1053	2	91	punjab	punjab	PROPN
cana-1053	2	92	,	,	PUNCT
cana-1053	2	93	bathinda	bathinda	NOUN
cana-1053	2	94	,	,	PUNCT
cana-1053	2	95	india	india	PROPN
cana-1053	2	96	email	email	NOUN
cana-1053	2	97	:	:	PUNCT
cana-1053	2	98	deepsinghspn@gmail.com	deepsinghspn@gmail.com	X
cana-1053	2	99	article	article	NOUN
cana-1053	2	100	history	history	NOUN
cana-1053	2	101	:	:	PUNCT
cana-1053	2	102	received	receive	VERB
cana-1053	2	103	:	:	PUNCT
cana-1053	2	104	16	16	NUM
cana-1053	2	105	-	-	SYM
cana-1053	2	106	05	05	NUM
cana-1053	2	107	-	-	PUNCT
cana-1053	2	108	2024	2024	NUM
cana-1053	2	109	revised	revise	VERB
cana-1053	2	110	:	:	PUNCT
cana-1053	2	111	26	26	NUM
cana-1053	2	112	-	-	SYM
cana-1053	2	113	06	06	NUM
cana-1053	2	114	-	-	PUNCT
cana-1053	2	115	2024	2024	NUM
cana-1053	2	116	accepted	accept	VERB
cana-1053	2	117	:	:	PUNCT
cana-1053	2	118	11	11	NUM
cana-1053	2	119	-	-	SYM
cana-1053	2	120	07	07	NUM
cana-1053	2	121	-	-	PUNCT
cana-1053	2	122	2024	2024	NUM
cana-1053	2	123	abstract	abstract	NOUN
cana-1053	2	124	:	:	PUNCT
cana-1053	2	125	the	the	DET
cana-1053	2	126	philosophy	philosophy	NOUN
cana-1053	2	127	of	of	ADP
cana-1053	2	128	inequalities	inequality	NOUN
cana-1053	2	129	has	have	AUX
cana-1053	2	130	profundity	profundity	NOUN
cana-1053	2	131	been	be	AUX
cana-1053	2	132	established	establish	VERB
cana-1053	2	133	for	for	ADP
cana-1053	2	134	explaining	explain	VERB
cana-1053	2	135	numerous	numerous	ADJ
cana-1053	2	136	optimizational	optimizational	ADJ
cana-1053	2	137	problems	problem	NOUN
cana-1053	2	138	encountered	encounter	VERB
cana-1053	2	139	in	in	ADP
cana-1053	2	140	mathematical	mathematical	ADJ
cana-1053	2	141	sciences	science	NOUN
cana-1053	2	142	.	.	PUNCT
cana-1053	3	1	the	the	DET
cana-1053	3	2	contemporary	contemporary	ADJ
cana-1053	3	3	develpments	develpment	NOUN
cana-1053	3	4	in	in	ADP
cana-1053	3	5	computational	computational	ADJ
cana-1053	3	6	mathematics	mathematic	NOUN
cana-1053	3	7	have	have	AUX
cana-1053	3	8	made	make	VERB
cana-1053	3	9	it	it	PRON
cana-1053	3	10	conceivable	conceivable	ADJ
cana-1053	3	11	to	to	PART
cana-1053	3	12	compute	compute	VERB
cana-1053	3	13	enormous	enormous	ADJ
cana-1053	3	14	entities	entity	NOUN
cana-1053	3	15	articulated	articulate	VERB
cana-1053	3	16	in	in	ADP
cana-1053	3	17	expressions	expression	NOUN
cana-1053	3	18	of	of	ADP
cana-1053	3	19	inequalities	inequality	NOUN
cana-1053	3	20	.	.	PUNCT
cana-1053	4	1	inequalities	inequality	NOUN
cana-1053	4	2	in	in	ADP
cana-1053	4	3	information	information	NOUN
cana-1053	4	4	theory	theory	NOUN
cana-1053	4	5	have	have	AUX
cana-1053	4	6	been	be	AUX
cana-1053	4	7	determined	determine	VERB
cana-1053	4	8	by	by	ADP
cana-1053	4	9	the	the	DET
cana-1053	4	10	aspiration	aspiration	NOUN
cana-1053	4	11	to	to	PART
cana-1053	4	12	elucidate	elucidate	VERB
cana-1053	4	13	communication	communication	NOUN
cana-1053	4	14	theoretic	theoretic	NOUN
cana-1053	4	15	problems	problem	NOUN
cana-1053	4	16	.	.	PUNCT
cana-1053	5	1	to	to	PART
cana-1053	5	2	disentangle	disentangle	VERB
cana-1053	5	3	such	such	ADJ
cana-1053	5	4	problems	problem	NOUN
cana-1053	5	5	,	,	PUNCT
cana-1053	5	6	the	the	DET
cana-1053	5	7	algebra	algebra	NOUN
cana-1053	5	8	of	of	ADP
cana-1053	5	9	information	information	NOUN
cana-1053	5	10	was	be	AUX
cana-1053	5	11	established	establish	VERB
cana-1053	5	12	and	and	CCONJ
cana-1053	5	13	chain	chain	NOUN
cana-1053	5	14	rules	rule	NOUN
cana-1053	5	15	for	for	ADP
cana-1053	5	16	entropy	entropy	NOUN
cana-1053	5	17	and	and	CCONJ
cana-1053	5	18	mutual	mutual	ADJ
cana-1053	5	19	information	information	NOUN
cana-1053	5	20	were	be	AUX
cana-1053	5	21	framed	frame	VERB
cana-1053	5	22	.	.	PUNCT
cana-1053	6	1	the	the	DET
cana-1053	6	2	field	field	NOUN
cana-1053	6	3	of	of	ADP
cana-1053	6	4	information	information	NOUN
cana-1053	6	5	theory	theory	NOUN
cana-1053	6	6	participates	participate	VERB
cana-1053	6	7	with	with	ADP
cana-1053	6	8	a	a	DET
cana-1053	6	9	critical	critical	ADJ
cana-1053	6	10	protagonist	protagonist	NOUN
cana-1053	6	11	in	in	ADP
cana-1053	6	12	accepting	accept	VERB
cana-1053	6	13	and	and	CCONJ
cana-1053	6	14	enumerating	enumerate	VERB
cana-1053	6	15	the	the	DET
cana-1053	6	16	communication	communication	NOUN
cana-1053	6	17	of	of	ADP
cana-1053	6	18	information	information	NOUN
cana-1053	6	19	in	in	ADP
cana-1053	6	20	innumerable	innumerable	ADJ
cana-1053	6	21	systems	system	NOUN
cana-1053	6	22	.	.	PUNCT
cana-1053	7	1	inequalities	inequality	NOUN
cana-1053	7	2	in	in	ADP
cana-1053	7	3	information	information	NOUN
cana-1053	7	4	theory	theory	NOUN
cana-1053	7	5	have	have	AUX
cana-1053	7	6	appeared	appear	VERB
cana-1053	7	7	as	as	ADP
cana-1053	7	8	influential	influential	ADJ
cana-1053	7	9	implements	implement	NOUN
cana-1053	7	10	to	to	PART
cana-1053	7	11	investigate	investigate	VERB
cana-1053	7	12	and	and	CCONJ
cana-1053	7	13	illustrate	illustrate	VERB
cana-1053	7	14	the	the	DET
cana-1053	7	15	restrictions	restriction	NOUN
cana-1053	7	16	and	and	CCONJ
cana-1053	7	17	opportunities	opportunity	NOUN
cana-1053	7	18	in	in	ADP
cana-1053	7	19	information	information	NOUN
cana-1053	7	20	dispensation	dispensation	NOUN
cana-1053	7	21	.	.	PUNCT
cana-1053	8	1	the	the	DET
cana-1053	8	2	contemporary	contemporary	ADJ
cana-1053	8	3	communiqué	communiqué	NOUN
cana-1053	8	4	is	be	AUX
cana-1053	8	5	an	an	DET
cana-1053	8	6	accurate	accurate	ADJ
cana-1053	8	7	step	step	NOUN
cana-1053	8	8	in	in	ADP
cana-1053	8	9	the	the	DET
cana-1053	8	10	construction	construction	NOUN
cana-1053	8	11	of	of	ADP
cana-1053	8	12	information	information	NOUN
cana-1053	8	13	inequalities	inequality	NOUN
cana-1053	8	14	for	for	ADP
cana-1053	8	15	the	the	DET
cana-1053	8	16	discrete	discrete	ADJ
cana-1053	8	17	probability	probability	NOUN
cana-1053	8	18	distribution	distribution	NOUN
cana-1053	8	19	.	.	PUNCT
cana-1053	9	1	we	we	PRON
cana-1053	9	2	have	have	AUX
cana-1053	9	3	prepared	prepare	VERB
cana-1053	9	4	abundant	abundant	ADJ
cana-1053	9	5	inequalities	inequality	NOUN
cana-1053	9	6	concerning	concern	VERB
cana-1053	9	7	finite	finite	ADJ
cana-1053	9	8	sequences	sequence	NOUN
cana-1053	9	9	of	of	ADP
cana-1053	9	10	positive	positive	ADJ
cana-1053	9	11	real	real	ADJ
cana-1053	9	12	numbers	number	NOUN
cana-1053	9	13	.	.	PUNCT
cana-1053	10	1	the	the	DET
cana-1053	10	2	exceptional	exceptional	ADJ
cana-1053	10	3	cases	case	NOUN
cana-1053	10	4	of	of	ADP
cana-1053	10	5	these	these	DET
cana-1053	10	6	inequalities	inequality	NOUN
cana-1053	10	7	are	be	AUX
cana-1053	10	8	definitely	definitely	ADV
cana-1053	10	9	advantageous	advantageous	ADJ
cana-1053	10	10	especially	especially	ADV
cana-1053	10	11	,	,	PUNCT
cana-1053	10	12	in	in	ADP
cana-1053	10	13	connection	connection	NOUN
cana-1053	10	14	with	with	ADP
cana-1053	10	15	innumerable	innumerable	ADJ
cana-1053	10	16	measures	measure	NOUN
cana-1053	10	17	of	of	ADP
cana-1053	10	18	entropies	entropy	NOUN
cana-1053	10	19	and	and	CCONJ
cana-1053	10	20	inaccuracy	inaccuracy	ADJ
cana-1053	10	21	surviving	surviving	NOUN
cana-1053	10	22	in	in	ADP
cana-1053	10	23	the	the	DET
cana-1053	10	24	literature	literature	NOUN
cana-1053	10	25	of	of	ADP
cana-1053	10	26	information	information	NOUN
cana-1053	10	27	theory	theory	NOUN
cana-1053	10	28	.	.	PUNCT
cana-1053	11	1	keywords	keyword	NOUN
cana-1053	11	2	:	:	PUNCT
cana-1053	11	3	entropy	entropy	PROPN
cana-1053	11	4	,	,	PUNCT
cana-1053	11	5	inaccuracy	inaccuracy	ADJ
cana-1053	11	6	,	,	PUNCT
cana-1053	11	7	probability	probability	NOUN
cana-1053	11	8	distribution	distribution	NOUN
cana-1053	11	9	,	,	PUNCT
cana-1053	11	10	concavity	concavity	NOUN
cana-1053	11	11	,	,	PUNCT
cana-1053	11	12	divergence	divergence	NOUN
cana-1053	11	13	model	model	NOUN
cana-1053	11	14	,	,	PUNCT
cana-1053	11	15	monte	monte	PROPN
cana-1053	11	16	-	-	PUNCT
cana-1053	11	17	carlo	carlo	PROPN
cana-1053	11	18	simulation	simulation	PROPN
cana-1053	11	19	,	,	PUNCT
cana-1053	11	20	shannon	shannon	PROPN
cana-1053	11	21	’s	’s	PART
cana-1053	11	22	lemma	lemma	PROPN
cana-1053	11	23	,	,	PUNCT
cana-1053	11	24	increasing	increase	VERB
cana-1053	11	25	function	function	NOUN
cana-1053	11	26	.	.	PUNCT
cana-1053	12	1	1	1	X
cana-1053	12	2	.	.	X
cana-1053	12	3	introduction	introduction	NOUN
cana-1053	12	4	the	the	DET
cana-1053	12	5	well	well	ADV
cana-1053	12	6	-	-	PUNCT
cana-1053	12	7	accredited	accredit	VERB
cana-1053	12	8	and	and	CCONJ
cana-1053	12	9	prominent	prominent	ADJ
cana-1053	12	10	truthfulness	truthfulness	ADJ
cana-1053	12	11	about	about	ADP
cana-1053	12	12	the	the	DET
cana-1053	12	13	coding	code	VERB
cana-1053	12	14	theory	theory	NOUN
cana-1053	12	15	delivers	deliver	VERB
cana-1053	12	16	the	the	DET
cana-1053	12	17	exploration	exploration	NOUN
cana-1053	12	18	of	of	ADP
cana-1053	12	19	combination	combination	NOUN
cana-1053	12	20	of	of	ADP
cana-1053	12	21	codes	code	NOUN
cana-1053	12	22	through	through	ADP
cana-1053	12	23	discrete	discrete	ADJ
cana-1053	12	24	probabilistic	probabilistic	ADJ
cana-1053	12	25	entropic	entropic	ADJ
cana-1053	12	26	models	model	NOUN
cana-1053	12	27	and	and	CCONJ
cana-1053	12	28	makes	make	VERB
cana-1053	12	29	dialogues	dialogue	NOUN
cana-1053	12	30	in	in	ADP
cana-1053	12	31	the	the	DET
cana-1053	12	32	direction	direction	NOUN
cana-1053	12	33	of	of	ADP
cana-1053	12	34	demonstrations	demonstration	NOUN
cana-1053	12	35	in	in	ADP
cana-1053	12	36	predictable	predictable	ADJ
cana-1053	12	37	disciplines	discipline	NOUN
cana-1053	12	38	.	.	PUNCT
cana-1053	13	1	shannon	shannon	PROPN
cana-1053	14	1	[	[	X
cana-1053	14	2	33	33	NUM
cana-1053	14	3	]	]	X
cana-1053	14	4	well	well	ADV
cana-1053	14	5	-	-	PUNCT
cana-1053	14	6	thought	think	VERB
cana-1053	14	7	-	-	PUNCT
cana-1053	14	8	out	out	ADP
cana-1053	14	9	the	the	DET
cana-1053	14	10	conjectural	conjectural	ADJ
cana-1053	14	11	background	background	NOUN
cana-1053	14	12	upon	upon	SCONJ
cana-1053	14	13	bestowing	bestow	VERB
cana-1053	14	14	the	the	DET
cana-1053	14	15	decisive	decisive	ADJ
cana-1053	14	16	establishment	establishment	NOUN
cana-1053	14	17	of	of	ADP
cana-1053	14	18	entropy	entropy	NOUN
cana-1053	14	19	involved	involve	VERB
cana-1053	14	20	with	with	ADP
cana-1053	14	21	the	the	DET
cana-1053	14	22	disconnected	disconnected	ADJ
cana-1053	14	23	probability	probability	NOUN
cana-1053	14	24	spaces	space	VERB
cana-1053	14	25	.	.	PUNCT
cana-1053	15	1	the	the	DET
cana-1053	15	2	predominantly	predominantly	ADV
cana-1053	15	3	well	well	ADV
cana-1053	15	4	-	-	PUNCT
cana-1053	15	5	acknowledged	acknowledge	VERB
cana-1053	15	6	observation	observation	NOUN
cana-1053	15	7	of	of	ADP
cana-1053	15	8	probabilistic	probabilistic	ADJ
cana-1053	15	9	entropy	entropy	NOUN
cana-1053	15	10	planned	plan	VERB
cana-1053	15	11	by	by	ADP
cana-1053	15	12	shannon	shannon	PROPN
cana-1053	15	13	[	[	X
cana-1053	15	14	33	33	NUM
cana-1053	15	15	]	]	PUNCT
cana-1053	15	16	amplified	amplify	VERB
cana-1053	15	17	the	the	DET
cana-1053	15	18	literature	literature	NOUN
cana-1053	15	19	of	of	ADP
cana-1053	15	20	coding	code	VERB
cana-1053	15	21	theory	theory	NOUN
cana-1053	15	22	with	with	ADP
cana-1053	15	23	the	the	DET
cana-1053	15	24	expedition	expedition	NOUN
cana-1053	15	25	of	of	ADP
cana-1053	15	26	abundant	abundant	ADJ
cana-1053	15	27	entropic	entropic	ADJ
cana-1053	15	28	models	model	NOUN
cana-1053	15	29	.	.	PUNCT
cana-1053	16	1	this	this	DET
cana-1053	16	2	entrenched	entrenched	ADJ
cana-1053	16	3	progression	progression	NOUN
cana-1053	16	4	prearranged	prearrange	VERB
cana-1053	16	5	the	the	DET
cana-1053	16	6	stone	stone	NOUN
cana-1053	16	7	of	of	ADP
cana-1053	16	8	discrete	discrete	ADJ
cana-1053	16	9	entropic	entropic	ADJ
cana-1053	16	10	model	model	NOUN
cana-1053	16	11	with	with	ADP
cana-1053	16	12	agreeable	agreeable	ADJ
cana-1053	16	13	properties	property	NOUN
cana-1053	16	14	.	.	PUNCT
cana-1053	17	1	communications	communication	NOUN
cana-1053	17	2	on	on	ADP
cana-1053	17	3	applied	apply	VERB
cana-1053	17	4	nonlinear	nonlinear	ADJ
cana-1053	17	5	analysis	analysis	NOUN
cana-1053	17	6	issn	issn	NOUN
cana-1053	17	7	:	:	PUNCT
cana-1053	17	8	1074	1074	NUM
cana-1053	17	9	-	-	PUNCT
cana-1053	17	10	133x	133x	NUM
cana-1053	17	11	vol	vol	NOUN
cana-1053	17	12	31	31	NUM
cana-1053	17	13	no	no	NOUN
cana-1053	17	14	.	.	PUNCT
cana-1053	18	1	5s	5s	NUM
cana-1053	18	2	(	(	PUNCT
cana-1053	18	3	2024	2024	NUM
cana-1053	18	4	)	)	PUNCT
cana-1053	18	5	326	326	NUM
cana-1053	18	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	19	1	it	it	PRON
cana-1053	19	2	has	have	AUX
cana-1053	19	3	been	be	AUX
cana-1053	19	4	observed	observe	VERB
cana-1053	19	5	that	that	SCONJ
cana-1053	19	6	in	in	ADP
cana-1053	19	7	an	an	DET
cana-1053	19	8	experimentation	experimentation	NOUN
cana-1053	19	9	dealing	deal	VERB
cana-1053	19	10	with	with	ADP
cana-1053	19	11	the	the	DET
cana-1053	19	12	proclamation	proclamation	NOUN
cana-1053	19	13	about	about	ADP
cana-1053	19	14	probabilities	probability	NOUN
cana-1053	19	15	of	of	ADP
cana-1053	19	16	dissimilar	dissimilar	ADJ
cana-1053	19	17	events	event	NOUN
cana-1053	19	18	,	,	PUNCT
cana-1053	19	19	two	two	NUM
cana-1053	19	20	varieties	variety	NOUN
cana-1053	19	21	of	of	ADP
cana-1053	19	22	errors	error	NOUN
cana-1053	19	23	are	be	AUX
cana-1053	19	24	plausible	plausible	ADJ
cana-1053	19	25	,	,	PUNCT
cana-1053	19	26	explicitly	explicitly	ADV
cana-1053	19	27	one	one	NUM
cana-1053	19	28	because	because	SCONJ
cana-1053	19	29	of	of	ADP
cana-1053	19	30	the	the	DET
cana-1053	19	31	nonappearance	nonappearance	NOUN
cana-1053	19	32	of	of	ADP
cana-1053	19	33	adequate	adequate	ADJ
cana-1053	19	34	data	datum	NOUN
cana-1053	19	35	or	or	CCONJ
cana-1053	19	36	indistinctness	indistinctness	NOUN
cana-1053	19	37	in	in	ADP
cana-1053	19	38	test	test	NOUN
cana-1053	19	39	results	result	NOUN
cana-1053	19	40	and	and	CCONJ
cana-1053	19	41	other	other	ADJ
cana-1053	19	42	from	from	ADP
cana-1053	19	43	erroneous	erroneous	ADJ
cana-1053	19	44	data	datum	NOUN
cana-1053	19	45	.	.	PUNCT
cana-1053	20	1	shannon	shannon	PROPN
cana-1053	20	2	’s	’s	PART
cana-1053	20	3	[	[	X
cana-1053	20	4	33	33	NUM
cana-1053	20	5	]	]	PUNCT
cana-1053	20	6	entropic	entropic	ADJ
cana-1053	20	7	model	model	NOUN
cana-1053	20	8	can	can	AUX
cana-1053	20	9	be	be	AUX
cana-1053	20	10	second	second	ADV
cana-1053	20	11	-	-	PUNCT
cana-1053	20	12	handed	handed	ADJ
cana-1053	20	13	to	to	PART
cana-1053	20	14	enlighten	enlighten	VERB
cana-1053	20	15	the	the	DET
cana-1053	20	16	error	error	NOUN
cana-1053	20	17	because	because	SCONJ
cana-1053	20	18	of	of	ADP
cana-1053	20	19	ambiguity	ambiguity	NOUN
cana-1053	20	20	only	only	ADV
cana-1053	20	21	whereas	whereas	SCONJ
cana-1053	20	22	the	the	DET
cana-1053	20	23	both	both	DET
cana-1053	20	24	types	type	NOUN
cana-1053	20	25	of	of	ADP
cana-1053	20	26	errors	error	NOUN
cana-1053	20	27	can	can	AUX
cana-1053	20	28	be	be	AUX
cana-1053	20	29	explained	explain	VERB
cana-1053	20	30	by	by	ADP
cana-1053	20	31	using	use	VERB
cana-1053	20	32	a	a	DET
cana-1053	20	33	measure	measure	NOUN
cana-1053	20	34	identified	identify	VERB
cana-1053	20	35	as	as	ADP
cana-1053	20	36	measure	measure	NOUN
cana-1053	20	37	of	of	ADP
cana-1053	20	38	inaccuracy	inaccuracy	NOUN
cana-1053	20	39	which	which	PRON
cana-1053	20	40	ascertains	ascertain	VERB
cana-1053	20	41	applications	application	NOUN
cana-1053	20	42	in	in	ADP
cana-1053	20	43	statistical	statistical	ADJ
cana-1053	20	44	inference	inference	NOUN
cana-1053	20	45	and	and	CCONJ
cana-1053	20	46	a	a	DET
cana-1053	20	47	concept	concept	NOUN
cana-1053	20	48	anticipated	anticipate	VERB
cana-1053	20	49	by	by	ADP
cana-1053	20	50	kerridge	kerridge	NOUN
cana-1053	20	51	[	[	X
cana-1053	20	52	14	14	NUM
cana-1053	20	53	]	]	PUNCT
cana-1053	20	54	.	.	PUNCT
cana-1053	21	1	we	we	PRON
cana-1053	21	2	have	have	VERB
cana-1053	21	3	the	the	DET
cana-1053	21	4	understanding	understanding	NOUN
cana-1053	21	5	that	that	SCONJ
cana-1053	21	6	1	1	NUM
cana-1053	21	7	2	2	NUM
cana-1053	21	8	1	1	NUM
cana-1053	21	9	(	(	PUNCT
cana-1053	21	10	,	,	PUNCT
cana-1053	21	11	,	,	PUNCT
cana-1053	21	12	...	...	PUNCT
cana-1053	21	13	,	,	PUNCT
cana-1053	21	14	)	)	PUNCT
cana-1053	21	15	:	:	PUNCT
cana-1053	21	16	0	0	NUM
cana-1053	21	17	;	;	PUNCT
cana-1053	21	18	1	1	NUM
cana-1053	21	19	,	,	PUNCT
cana-1053	21	20	...	...	PUNCT
cana-1053	21	21	,	,	PUNCT
cana-1053	21	22	;	;	PUNCT
cana-1053	21	23	1	1	NUM
cana-1053	21	24	n	n	CCONJ
cana-1053	21	25	n	n	CCONJ
cana-1053	21	26	n	n	NOUN
cana-1053	22	1	i	i	PRON
cana-1053	22	2	i	i	PRON
cana-1053	22	3	i	i	PRON
cana-1053	23	1	p	p	VERB
cana-1053	24	1	p	p	X
cana-1053	24	2	p	p	X
cana-1053	24	3	p	p	X
cana-1053	24	4	i	i	PRON
cana-1053	24	5	n	n	NOUN
cana-1053	24	6	p	p	NOUN
cana-1053	24	7	=	=	X
cana-1053	24	8			NOUN
cana-1053	24	9			PROPN
cana-1053	24	10			VERB
cana-1053	24	11	=	=	PUNCT
cana-1053	24	12			NUM
cana-1053	24	13	=	=	PUNCT
cana-1053	25	1	=	=	NOUN
cana-1053	25	2			NUM
cana-1053	25	3			NOUN
cana-1053	25	4			PROPN
cana-1053	25	5			PROPN
cana-1053	25	6			PRON
cana-1053	25	7	represent	represent	VERB
cana-1053	25	8	the	the	DET
cana-1053	25	9	assemblage	assemblage	NOUN
cana-1053	25	10	of	of	ADP
cana-1053	25	11	all	all	DET
cana-1053	25	12	disconnected	disconnected	ADJ
cana-1053	25	13	possibility	possibility	NOUN
cana-1053	25	14	distributions	distribution	NOUN
cana-1053	25	15	with	with	ADP
cana-1053	25	16	nonnegative	nonnegative	ADJ
cana-1053	25	17	elements	element	NOUN
cana-1053	25	18	and	and	CCONJ
cana-1053	25	19	full	full	ADJ
cana-1053	25	20	support	support	NOUN
cana-1053	25	21	on	on	ADP
cana-1053	25	22	a	a	DET
cana-1053	25	23	set	set	NOUN
cana-1053	25	24	with	with	ADP
cana-1053	25	25	cardinality	cardinality	NOUN
cana-1053	25	26	n	n	PROPN
cana-1053	25	27	and	and	CCONJ
cana-1053	25	28	1	1	NUM
cana-1053	25	29	n	n	CCONJ
cana-1053	25	30	n	n	ADV
cana-1053	25	31			VERB
cana-1053	25	32	=	=	SYM
cana-1053	25	33			VERB
cana-1053	25	34	=	=	SYM
cana-1053	25	35			VERB
cana-1053	25	36	.	.	PUNCT
cana-1053	26	1	a	a	DET
cana-1053	26	2	possibility	possibility	NOUN
cana-1053	26	3	distribution	distribution	NOUN
cana-1053	26	4	i	i	PRON
cana-1053	26	5	np	np	VERB
cana-1053	26	6			NOUN
cana-1053	26	7	which	which	PRON
cana-1053	26	8	is	be	AUX
cana-1053	26	9	not	not	PART
cana-1053	26	10	degenerate	degenerate	ADJ
cana-1053	26	11	is	be	AUX
cana-1053	26	12	believed	believe	VERB
cana-1053	26	13	to	to	PART
cana-1053	26	14	be	be	AUX
cana-1053	26	15	a	a	DET
cana-1053	26	16	nondegenerate	nondegenerate	ADJ
cana-1053	26	17	probability	probability	NOUN
cana-1053	26	18	distribution	distribution	NOUN
cana-1053	26	19	.	.	PUNCT
cana-1053	27	1	in	in	ADP
cana-1053	27	2	numerous	numerous	ADJ
cana-1053	27	3	circumstances	circumstance	NOUN
cana-1053	27	4	,	,	PUNCT
cana-1053	27	5	one	one	PRON
cana-1053	27	6	has	have	VERB
cana-1053	27	7	to	to	PART
cana-1053	27	8	deliver	deliver	VERB
cana-1053	27	9	transactions	transaction	NOUN
cana-1053	27	10	with	with	ADP
cana-1053	27	11	discrete	discrete	ADJ
cana-1053	27	12	probability	probability	NOUN
cana-1053	27	13	distributions	distribution	NOUN
cana-1053	27	14	in	in	ADP
cana-1053	27	15	which	which	PRON
cana-1053	27	16	each	each	DET
cana-1053	27	17	element	element	NOUN
cana-1053	27	18	is	be	AUX
cana-1053	27	19	a	a	DET
cana-1053	27	20	positive	positive	ADJ
cana-1053	27	21	real	real	ADJ
cana-1053	27	22	number	number	NOUN
cana-1053	27	23	.	.	PUNCT
cana-1053	28	1	consequently	consequently	ADV
cana-1053	28	2	,	,	PUNCT
cana-1053	28	3	we	we	PRON
cana-1053	28	4	prerequisite	prerequisite	VERB
cana-1053	28	5	the	the	DET
cana-1053	28	6	subsequent	subsequent	ADJ
cana-1053	28	7	sets	set	NOUN
cana-1053	28	8	:	:	PUNCT
cana-1053	28	9	*	*	SYM
cana-1053	28	10	1	1	NUM
cana-1053	28	11	2	2	NUM
cana-1053	28	12	1	1	NUM
cana-1053	28	13	(	(	PUNCT
cana-1053	28	14	,	,	PUNCT
cana-1053	28	15	,	,	PUNCT
cana-1053	28	16	...	...	PUNCT
cana-1053	28	17	,	,	PUNCT
cana-1053	28	18	)	)	PUNCT
cana-1053	28	19	:	:	PUNCT
cana-1053	28	20	0	0	NUM
cana-1053	28	21	;	;	PUNCT
cana-1053	28	22	1	1	NUM
cana-1053	28	23	,	,	PUNCT
cana-1053	28	24	...	...	PUNCT
cana-1053	28	25	,	,	PUNCT
cana-1053	28	26	;	;	PUNCT
cana-1053	28	27	1	1	NUM
cana-1053	28	28	n	n	CCONJ
cana-1053	28	29	n	n	CCONJ
cana-1053	28	30	n	n	NOUN
cana-1053	29	1	i	i	PRON
cana-1053	29	2	i	i	PRON
cana-1053	29	3	i	i	PRON
cana-1053	30	1	p	p	VERB
cana-1053	31	1	p	p	X
cana-1053	31	2	p	p	X
cana-1053	31	3	p	p	X
cana-1053	31	4	i	i	PRON
cana-1053	31	5	n	n	NOUN
cana-1053	31	6	p	p	NOUN
cana-1053	31	7	=	=	X
cana-1053	31	8			NOUN
cana-1053	32	1			PROPN
cana-1053	32	2			VERB
cana-1053	32	3	=	=	NOUN
cana-1053	32	4			NOUN
cana-1053	32	5	=	=	PUNCT
cana-1053	33	1	=	=	NOUN
cana-1053	33	2			NUM
cana-1053	33	3			INTJ
cana-1053	33	4			PROPN
cana-1053	33	5			PROPN
cana-1053	33	6			X
cana-1053	33	7	.	.	PUNCT
cana-1053	34	1	for	for	ADP
cana-1053	34	2	any	any	DET
cana-1053	34	3	probability	probability	NOUN
cana-1053	34	4	distribution	distribution	NOUN
cana-1053	34	5	i	i	PRON
cana-1053	34	6	np	np	PRON
cana-1053	34	7			NOUN
cana-1053	34	8	,	,	PUNCT
cana-1053	34	9	we	we	PRON
cana-1053	34	10	indicate	indicate	VERB
cana-1053	34	11	below	below	ADP
cana-1053	34	12	some	some	DET
cana-1053	34	13	existing	exist	VERB
cana-1053	34	14	discrete	discrete	ADJ
cana-1053	34	15	entropic	entropic	ADJ
cana-1053	34	16	models	model	NOUN
cana-1053	34	17	:	:	PUNCT
cana-1053	34	18	the	the	DET
cana-1053	34	19	shannon	shannon	PROPN
cana-1053	34	20	[	[	X
cana-1053	34	21	33	33	NUM
cana-1053	34	22	]	]	PUNCT
cana-1053	34	23	entropy	entropy	PROPN
cana-1053	34	24	:	:	PUNCT
cana-1053	34	25	2	2	NUM
cana-1053	34	26	1	1	NUM
cana-1053	34	27	(	(	PUNCT
cana-1053	34	28	p	p	NOUN
cana-1053	34	29	)	)	PUNCT
cana-1053	34	30	log	log	NOUN
cana-1053	34	31	n	n	INTJ
cana-1053	34	32	i	i	PRON
cana-1053	34	33	i	i	PRON
cana-1053	34	34	i	i	PRON
cana-1053	34	35	h	h	VERB
cana-1053	35	1	p	p	X
cana-1053	35	2	p	p	X
cana-1053	35	3	=	=	PUNCT
cana-1053	35	4	=	=	SYM
cana-1053	35	5	−	−	NOUN
cana-1053	35	6	(	(	PUNCT
cana-1053	35	7	1.1	1.1	NUM
cana-1053	35	8	)	)	PUNCT
cana-1053	35	9	the	the	DET
cana-1053	35	10	renyi	renyi	NOUN
cana-1053	36	1	[	[	X
cana-1053	36	2	30	30	NUM
cana-1053	36	3	]	]	X
cana-1053	36	4	entropy	entropy	NOUN
cana-1053	36	5	:	:	PUNCT
cana-1053	36	6	1	1	NUM
cana-1053	36	7	2	2	NUM
cana-1053	36	8	1	1	NUM
cana-1053	36	9	(	(	PUNCT
cana-1053	36	10	p	p	NOUN
cana-1053	36	11	)	)	PUNCT
cana-1053	36	12	(	(	PUNCT
cana-1053	36	13	1	1	X
cana-1053	36	14	)	)	PUNCT
cana-1053	36	15	log	log	NOUN
cana-1053	36	16	n	n	INTJ
cana-1053	37	1	i	i	PRON
cana-1053	37	2	i	i	PRON
cana-1053	37	3	h	h	VERB
cana-1053	37	4	p	p	VERB
cana-1053	37	5			X
cana-1053	37	6	−	−	PROPN
cana-1053	37	7	=	=	SYM
cana-1053	37	8			NOUN
cana-1053	37	9			NOUN
cana-1053	37	10	=	=	PUNCT
cana-1053	38	1	−	−	PROPN
cana-1053	39	1			PROPN
cana-1053	39	2			PROPN
cana-1053	40	1			PROPN
cana-1053	40	2			NOUN
cana-1053	40	3			X
cana-1053	40	4	,	,	PUNCT
cana-1053	40	5	0	0	PROPN
cana-1053	40	6			X
cana-1053	40	7	,	,	PUNCT
cana-1053	40	8	1	1	PROPN
cana-1053	40	9			NOUN
cana-1053	40	10	(	(	PUNCT
cana-1053	40	11	1.2	1.2	NUM
cana-1053	40	12	)	)	PUNCT
cana-1053	40	13	the	the	DET
cana-1053	40	14	havrda	havrda	NOUN
cana-1053	40	15	-	-	PUNCT
cana-1053	40	16	charvat	charvat	NOUN
cana-1053	41	1	[	[	X
cana-1053	41	2	8	8	NUM
cana-1053	41	3	]	]	X
cana-1053	41	4	entropy	entropy	NOUN
cana-1053	41	5	:	:	PUNCT
cana-1053	41	6	1	1	NUM
cana-1053	41	7	1	1	NUM
cana-1053	41	8	1	1	NUM
cana-1053	41	9	(	(	PUNCT
cana-1053	41	10	p	p	NOUN
cana-1053	41	11	)	)	PUNCT
cana-1053	41	12	(	(	PUNCT
cana-1053	41	13	1	1	NUM
cana-1053	41	14	2	2	NUM
cana-1053	41	15	)	)	PUNCT
cana-1053	41	16	1	1	NUM
cana-1053	42	1	n	n	NOUN
cana-1053	43	1	i	i	PRON
cana-1053	44	1	i	i	PRON
cana-1053	44	2	h	h	VERB
cana-1053	44	3	p	p	NOUN
cana-1053	44	4			X
cana-1053	44	5	−	−	X
cana-1053	44	6	−	−	PROPN
cana-1053	45	1	=	=	PUNCT
cana-1053	45	2			NOUN
cana-1053	45	3			NOUN
cana-1053	45	4	=	=	PUNCT
cana-1053	46	1	−	−	PROPN
cana-1053	47	1	−	−	PROPN
cana-1053	47	2			PROPN
cana-1053	47	3			PROPN
cana-1053	47	4			NOUN
cana-1053	47	5			X
cana-1053	47	6	,	,	PUNCT
cana-1053	47	7	0	0	PROPN
cana-1053	47	8			X
cana-1053	47	9	,	,	PUNCT
cana-1053	47	10	1	1	PROPN
cana-1053	47	11			NOUN
cana-1053	47	12	(	(	PUNCT
cana-1053	47	13	1.3	1.3	NUM
cana-1053	47	14	)	)	PUNCT
cana-1053	47	15	to	to	PART
cana-1053	47	16	make	make	VERB
cana-1053	47	17	available	available	ADJ
cana-1053	47	18	the	the	DET
cana-1053	47	19	augmentation	augmentation	NOUN
cana-1053	47	20	in	in	ADP
cana-1053	47	21	the	the	DET
cana-1053	47	22	collected	collect	VERB
cana-1053	47	23	works	work	NOUN
cana-1053	47	24	of	of	ADP
cana-1053	47	25	discrete	discrete	ADJ
cana-1053	47	26	entropic	entropic	ADJ
cana-1053	47	27	models	model	NOUN
cana-1053	47	28	,	,	PUNCT
cana-1053	47	29	parkash	parkash	NOUN
cana-1053	47	30	and	and	CCONJ
cana-1053	47	31	kakkar	kakkar	PROPN
cana-1053	47	32	[	[	X
cana-1053	47	33	23	23	NUM
cana-1053	47	34	,	,	PUNCT
cana-1053	47	35	24	24	NUM
cana-1053	47	36	]	]	PUNCT
cana-1053	47	37	structured	structure	VERB
cana-1053	47	38	the	the	DET
cana-1053	47	39	investigations	investigation	NOUN
cana-1053	47	40	of	of	ADP
cana-1053	47	41	abundant	abundant	ADJ
cana-1053	47	42	entropic	entropic	ADJ
cana-1053	47	43	models	model	NOUN
cana-1053	47	44	for	for	ADP
cana-1053	47	45	the	the	DET
cana-1053	47	46	discrete	discrete	ADJ
cana-1053	47	47	probability	probability	NOUN
cana-1053	47	48	spaces	space	NOUN
cana-1053	47	49	from	from	ADP
cana-1053	47	50	demonstration	demonstration	NOUN
cana-1053	47	51	point	point	NOUN
cana-1053	47	52	of	of	ADP
cana-1053	47	53	observation	observation	NOUN
cana-1053	47	54	and	and	CCONJ
cana-1053	47	55	consequently	consequently	ADV
cana-1053	47	56	enriched	enrich	VERB
cana-1053	47	57	the	the	DET
cana-1053	47	58	texts	text	NOUN
cana-1053	47	59	of	of	ADP
cana-1053	47	60	entropy	entropy	NOUN
cana-1053	47	61	models	model	NOUN
cana-1053	47	62	by	by	ADP
cana-1053	47	63	the	the	DET
cana-1053	47	64	development	development	NOUN
cana-1053	47	65	of	of	ADP
cana-1053	47	66	the	the	DET
cana-1053	47	67	succeeding	succeed	VERB
cana-1053	47	68	manifestations	manifestation	NOUN
cana-1053	47	69	of	of	ADP
cana-1053	47	70	quantitative	quantitative	ADJ
cana-1053	47	71	entropic	entropic	ADJ
cana-1053	47	72	models	model	NOUN
cana-1053	47	73	:	:	PUNCT
cana-1053	47	74	(	(	PUNCT
cana-1053	47	75	)	)	PUNCT
cana-1053	47	76	log	log	VERB
cana-1053	47	77	1	1	NUM
cana-1053	47	78	1	1	NUM
cana-1053	47	79	,	,	PUNCT
cana-1053	47	80	1	1	NUM
cana-1053	47	81	1	1	NUM
cana-1053	47	82	d	d	NOUN
cana-1053	48	1	i	i	PRON
cana-1053	49	1	n	n	CCONJ
cana-1053	50	1	p	p	NOUN
cana-1053	51	1	i	i	PRON
cana-1053	52	1	i	i	PRON
cana-1053	53	1	p	p	X
cana-1053	53	2	s	s	PROPN
cana-1053	53	3	p	p	PROPN
cana-1053	53	4			PROPN
cana-1053	53	5			PROPN
cana-1053	53	6			NOUN
cana-1053	53	7	=	=	PUNCT
cana-1053	54	1	−	−	PROPN
cana-1053	55	1	=	=	SYM
cana-1053	55	2			PROPN
cana-1053	55	3	−	−	X
cana-1053	55	4			X
cana-1053	55	5	(	(	PUNCT
cana-1053	55	6	1.4	1.4	NUM
cana-1053	55	7	)	)	PUNCT
cana-1053	55	8	communications	communication	NOUN
cana-1053	55	9	on	on	ADP
cana-1053	55	10	applied	apply	VERB
cana-1053	55	11	nonlinear	nonlinear	ADJ
cana-1053	55	12	analysis	analysis	NOUN
cana-1053	55	13	issn	issn	NOUN
cana-1053	55	14	:	:	PUNCT
cana-1053	55	15	1074	1074	NUM
cana-1053	55	16	-	-	PUNCT
cana-1053	55	17	133x	133x	NUM
cana-1053	55	18	vol	vol	NOUN
cana-1053	55	19	31	31	NUM
cana-1053	55	20	no	no	NOUN
cana-1053	55	21	.	.	PUNCT
cana-1053	56	1	5s	5s	NUM
cana-1053	56	2	(	(	PUNCT
cana-1053	56	3	2024	2024	NUM
cana-1053	56	4	)	)	PUNCT
cana-1053	56	5	327	327	NUM
cana-1053	56	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	56	7	(	(	PUNCT
cana-1053	56	8	)	)	PUNCT
cana-1053	56	9	1	1	NUM
cana-1053	56	10	ln	ln	NOUN
cana-1053	56	11	1	1	NUM
cana-1053	56	12	,	,	PUNCT
cana-1053	56	13	1	1	NUM
cana-1053	56	14	1	1	NUM
cana-1053	57	1	n	n	NOUN
cana-1053	58	1	i	i	PRON
cana-1053	59	1	i	i	PRON
cana-1053	60	1	i	i	PRON
cana-1053	60	2	p	p	X
cana-1053	60	3	p	p	X
cana-1053	60	4	s	s	PROPN
cana-1053	60	5	p	p	PROPN
cana-1053	60	6			PROPN
cana-1053	60	7			PROPN
cana-1053	60	8			NOUN
cana-1053	60	9	=	=	PUNCT
cana-1053	60	10			X
cana-1053	61	1	−	−	NOUN
cana-1053	61	2	=	=	SYM
cana-1053	61	3			INTJ
cana-1053	61	4	−	−	PROPN
cana-1053	62	1	(	(	PUNCT
cana-1053	62	2	1.5	1.5	NUM
cana-1053	62	3	)	)	PUNCT
cana-1053	62	4	(	(	PUNCT
cana-1053	62	5	)	)	PUNCT
cana-1053	62	6	1	1	NUM
cana-1053	62	7	1	1	NUM
cana-1053	62	8	ln	ln	NOUN
cana-1053	62	9	1	1	NUM
cana-1053	62	10	1	1	NUM
cana-1053	62	11	,	,	PUNCT
cana-1053	62	12	1	1	NUM
cana-1053	62	13	,	,	PUNCT
cana-1053	62	14	0	0	NUM
cana-1053	62	15	1	1	NUM
cana-1053	62	16	1	1	NUM
cana-1053	62	17	n	n	SYM
cana-1053	62	18	b	b	NOUN
cana-1053	63	1	i	i	PRON
cana-1053	63	2	i	i	PRON
cana-1053	64	1	p	p	X
cana-1053	64	2	b	b	PROPN
cana-1053	64	3	b	b	PROPN
cana-1053	64	4	a	a	DET
cana-1053	64	5	a	a	PRON
cana-1053	64	6	s	s	X
cana-1053	64	7	p	p	NOUN
cana-1053	64	8	a	a	DET
cana-1053	64	9	b	b	NOUN
cana-1053	65	1	a	a	DET
cana-1053	65	2	=	=	PUNCT
cana-1053	65	3			NOUN
cana-1053	65	4			PROPN
cana-1053	66	1			PROPN
cana-1053	67	1			PROPN
cana-1053	68	1			PROPN
cana-1053	68	2	−	−	NOUN
cana-1053	69	1			PROPN
cana-1053	69	2			NOUN
cana-1053	69	3			X
cana-1053	69	4	−	−	NOUN
cana-1053	70	1	=	=	SYM
cana-1053	70	2			INTJ
cana-1053	70	3			PROPN
cana-1053	70	4			PROPN
cana-1053	71	1	−	−	PROPN
cana-1053	71	2	(	(	PUNCT
cana-1053	71	3	1.6	1.6	NUM
cana-1053	71	4	)	)	PUNCT
cana-1053	71	5	there	there	PRON
cana-1053	71	6	survives	survive	VERB
cana-1053	71	7	an	an	DET
cana-1053	71	8	enormous	enormous	ADJ
cana-1053	71	9	assemblage	assemblage	NOUN
cana-1053	71	10	of	of	ADP
cana-1053	71	11	entropic	entropic	ADJ
cana-1053	71	12	models	model	NOUN
cana-1053	71	13	but	but	CCONJ
cana-1053	71	14	still	still	ADV
cana-1053	71	15	expectedness	expectedness	NOUN
cana-1053	71	16	ascends	ascend	VERB
cana-1053	71	17	to	to	PART
cana-1053	71	18	communicate	communicate	VERB
cana-1053	71	19	amplification	amplification	NOUN
cana-1053	71	20	in	in	ADP
cana-1053	71	21	their	their	PRON
cana-1053	71	22	text	text	NOUN
cana-1053	71	23	.	.	PUNCT
cana-1053	72	1	furthermore	furthermore	ADV
cana-1053	72	2	,	,	PUNCT
cana-1053	72	3	there	there	PRON
cana-1053	72	4	happens	happen	VERB
cana-1053	72	5	to	to	PART
cana-1053	72	6	be	be	AUX
cana-1053	72	7	perceptible	perceptible	ADJ
cana-1053	72	8	astonishingly	astonishingly	ADV
cana-1053	72	9	strong	strong	ADJ
cana-1053	72	10	connotation	connotation	NOUN
cana-1053	72	11	networking	network	VERB
cana-1053	72	12	entropy	entropy	NOUN
cana-1053	72	13	and	and	CCONJ
cana-1053	72	14	chi	chi	ADJ
cana-1053	72	15	-	-	PUNCT
cana-1053	72	16	square	square	ADJ
cana-1053	72	17	distribution	distribution	NOUN
cana-1053	72	18	.	.	PUNCT
cana-1053	73	1	to	to	PART
cana-1053	73	2	undertake	undertake	VERB
cana-1053	73	3	this	this	DET
cana-1053	73	4	target	target	NOUN
cana-1053	73	5	,	,	PUNCT
cana-1053	73	6	parkash	parkash	PROPN
cana-1053	73	7	,	,	PUNCT
cana-1053	73	8	sharma	sharma	PROPN
cana-1053	73	9	and	and	CCONJ
cana-1053	73	10	singh	singh	PROPN
cana-1053	73	11	[	[	X
cana-1053	73	12	28	28	NUM
cana-1053	73	13	]	]	PUNCT
cana-1053	73	14	sketched	sketch	VERB
cana-1053	73	15	a	a	DET
cana-1053	73	16	new	new	ADJ
cana-1053	73	17	ground	ground	NOUN
cana-1053	73	18	-	-	PUNCT
cana-1053	73	19	breaking	break	VERB
cana-1053	73	20	discrete	discrete	ADJ
cana-1053	73	21	entropic	entropic	ADJ
cana-1053	73	22	model	model	NOUN
cana-1053	73	23	by	by	ADP
cana-1053	73	24	the	the	DET
cana-1053	73	25	subsequent	subsequent	ADJ
cana-1053	73	26	appearance	appearance	NOUN
cana-1053	73	27	:	:	PUNCT
cana-1053	73	28	(	(	PUNCT
cana-1053	73	29	)	)	PUNCT
cana-1053	73	30	(	(	PUNCT
cana-1053	73	31	)	)	PUNCT
cana-1053	73	32	,	,	PUNCT
cana-1053	73	33	1	1	NUM
cana-1053	73	34	1	1	NUM
cana-1053	73	35	1	1	NUM
cana-1053	73	36	;	;	PUNCT
cana-1053	73	37	,	,	PUNCT
cana-1053	73	38	0i	0i	NOUN
cana-1053	73	39	n	n	CCONJ
cana-1053	74	1	p	p	NOUN
cana-1053	74	2	i	i	PRON
cana-1053	75	1	i	i	PRON
cana-1053	75	2	h	h	VERB
cana-1053	76	1	p	p	X
cana-1053	76	2	p	p	PROPN
cana-1053	76	3			PROPN
cana-1053	76	4			NOUN
cana-1053	76	5			X
cana-1053	76	6			PROPN
cana-1053	76	7			NUM
cana-1053	76	8			PROPN
cana-1053	76	9			PROPN
cana-1053	76	10			NUM
cana-1053	76	11			PROPN
cana-1053	76	12			NOUN
cana-1053	76	13	−	−	PROPN
cana-1053	76	14	=	=	SYM
cana-1053	76	15			PROPN
cana-1053	77	1	=	=	PROPN
cana-1053	77	2	−	−	PROPN
cana-1053	77	3			NOUN
cana-1053	77	4	−	−	PROPN
cana-1053	77	5			NOUN
cana-1053	77	6	−	−	NOUN
cana-1053	77	7			X
cana-1053	77	8	(	(	PUNCT
cana-1053	77	9	1.7	1.7	NUM
cana-1053	77	10	)	)	PUNCT
cana-1053	77	11	by	by	ADP
cana-1053	77	12	providing	provide	VERB
cana-1053	77	13	work	work	NOUN
cana-1053	77	14	for	for	ADP
cana-1053	77	15	the	the	DET
cana-1053	77	16	newly	newly	ADV
cana-1053	77	17	created	create	VERB
cana-1053	77	18	model	model	NOUN
cana-1053	77	19	(	(	PUNCT
cana-1053	77	20	1.7	1.7	NUM
cana-1053	77	21	)	)	PUNCT
cana-1053	78	1	,	,	PUNCT
cana-1053	78	2	the	the	DET
cana-1053	78	3	authors	author	NOUN
cana-1053	78	4	enhanced	enhance	VERB
cana-1053	78	5	the	the	DET
cana-1053	78	6	application	application	NOUN
cana-1053	78	7	area	area	NOUN
cana-1053	78	8	of	of	ADP
cana-1053	78	9	maximum	maximum	PROPN
cana-1053	78	10	entropy	entropy	PROPN
cana-1053	78	11	principle	principle	NOUN
cana-1053	78	12	subsequent	subsequent	ADJ
cana-1053	78	13	to	to	ADP
cana-1053	78	14	the	the	DET
cana-1053	78	15	knowledge	knowledge	NOUN
cana-1053	78	16	of	of	ADP
cana-1053	78	17	contingency	contingency	NOUN
cana-1053	78	18	tables	table	NOUN
cana-1053	78	19	.	.	PUNCT
cana-1053	79	1	recently	recently	ADV
cana-1053	79	2	,	,	PUNCT
cana-1053	79	3	parkash	parkash	PROPN
cana-1053	79	4	and	and	CCONJ
cana-1053	79	5	kumar	kumar	PROPN
cana-1053	80	1	[	[	X
cana-1053	80	2	25	25	NUM
cana-1053	80	3	]	]	PUNCT
cana-1053	80	4	investigated	investigate	VERB
cana-1053	80	5	and	and	CCONJ
cana-1053	80	6	twisted	twist	VERB
cana-1053	80	7	a	a	DET
cana-1053	80	8	new	new	ADJ
cana-1053	80	9	-	-	PUNCT
cana-1053	80	10	fangled	fangled	ADJ
cana-1053	80	11	entropic	entropic	ADJ
cana-1053	80	12	model	model	NOUN
cana-1053	80	13	and	and	CCONJ
cana-1053	80	14	reflected	reflect	VERB
cana-1053	80	15	its	its	PRON
cana-1053	80	16	solicitations	solicitation	NOUN
cana-1053	80	17	to	to	ADP
cana-1053	80	18	abundant	abundant	ADJ
cana-1053	80	19	disciplines	discipline	NOUN
cana-1053	80	20	comprising	comprise	VERB
cana-1053	80	21	probability	probability	NOUN
cana-1053	80	22	theory	theory	NOUN
cana-1053	80	23	and	and	CCONJ
cana-1053	80	24	queueing	queue	VERB
cana-1053	80	25	theory	theory	NOUN
cana-1053	80	26	.	.	PUNCT
cana-1053	81	1	additionally	additionally	ADV
cana-1053	81	2	,	,	PUNCT
cana-1053	81	3	the	the	DET
cana-1053	81	4	authors	author	NOUN
cana-1053	81	5	reflected	reflect	VERB
cana-1053	81	6	a	a	DET
cana-1053	81	7	wide	wide	ADV
cana-1053	81	8	-	-	PUNCT
cana-1053	81	9	ranging	range	VERB
cana-1053	81	10	study	study	NOUN
cana-1053	81	11	of	of	ADP
cana-1053	81	12	their	their	PRON
cana-1053	81	13	innovative	innovative	ADJ
cana-1053	81	14	discrete	discrete	ADJ
cana-1053	81	15	entropic	entropic	ADJ
cana-1053	81	16	model	model	NOUN
cana-1053	81	17	along	along	ADP
cana-1053	81	18	with	with	ADP
cana-1053	81	19	its	its	PRON
cana-1053	81	20	presentations	presentation	NOUN
cana-1053	81	21	to	to	ADP
cana-1053	81	22	queueing	queue	VERB
cana-1053	81	23	theory	theory	NOUN
cana-1053	81	24	.	.	PUNCT
cana-1053	82	1	additionally	additionally	ADV
cana-1053	82	2	,	,	PUNCT
cana-1053	82	3	huang	huang	PROPN
cana-1053	82	4	and	and	CCONJ
cana-1053	82	5	zhang	zhang	PROPN
cana-1053	83	1	[	[	X
cana-1053	83	2	11	11	NUM
cana-1053	83	3	]	]	PUNCT
cana-1053	83	4	conveyed	convey	VERB
cana-1053	83	5	an	an	DET
cana-1053	83	6	unanticipated	unanticipated	ADJ
cana-1053	83	7	clarification	clarification	NOUN
cana-1053	83	8	with	with	ADP
cana-1053	83	9	orientation	orientation	NOUN
cana-1053	83	10	to	to	PART
cana-1053	83	11	shannon	shannon	PROPN
cana-1053	83	12	’s	’s	PART
cana-1053	83	13	[	[	X
cana-1053	83	14	33	33	NUM
cana-1053	83	15	]	]	X
cana-1053	83	16	mutual	mutual	ADJ
cana-1053	83	17	information	information	NOUN
cana-1053	83	18	and	and	CCONJ
cana-1053	83	19	stressed	stress	VERB
cana-1053	83	20	that	that	SCONJ
cana-1053	83	21	it	it	PRON
cana-1053	83	22	has	have	AUX
cana-1053	83	23	comprehensively	comprehensively	ADV
cana-1053	83	24	been	be	AUX
cana-1053	83	25	second	second	ADV
cana-1053	83	26	-	-	PUNCT
cana-1053	83	27	handed	hand	VERB
cana-1053	83	28	its	its	PRON
cana-1053	83	29	functioning	function	VERB
cana-1053	83	30	computation	computation	NOUN
cana-1053	83	31	.	.	PUNCT
cana-1053	84	1	furthermore	furthermore	ADV
cana-1053	84	2	,	,	PUNCT
cana-1053	84	3	the	the	DET
cana-1053	84	4	authors	author	NOUN
cana-1053	84	5	carried	carry	VERB
cana-1053	84	6	out	out	ADP
cana-1053	84	7	numerical	numerical	ADJ
cana-1053	84	8	replication	replication	NOUN
cana-1053	84	9	and	and	CCONJ
cana-1053	84	10	acknowledged	acknowledge	VERB
cana-1053	84	11	that	that	SCONJ
cana-1053	84	12	their	their	PRON
cana-1053	84	13	projected	project	VERB
cana-1053	84	14	modus	modus	NOUN
cana-1053	84	15	operandi	operandi	NOUN
cana-1053	84	16	were	be	AUX
cana-1053	84	17	surprisingly	surprisingly	ADV
cana-1053	84	18	wonderful	wonderful	ADJ
cana-1053	84	19	with	with	ADP
cana-1053	84	20	burgeoning	burgeon	VERB
cana-1053	84	21	convenience	convenience	NOUN
cana-1053	84	22	to	to	ADP
cana-1053	84	23	numerous	numerous	ADJ
cana-1053	84	24	realistic	realistic	ADJ
cana-1053	84	25	and	and	CCONJ
cana-1053	84	26	hypothetical	hypothetical	ADJ
cana-1053	84	27	problems	problem	NOUN
cana-1053	84	28	.	.	PUNCT
cana-1053	85	1	this	this	PRON
cana-1053	85	2	is	be	AUX
cana-1053	85	3	supplementary	supplementary	ADJ
cana-1053	85	4	additional	additional	ADJ
cana-1053	85	5	that	that	SCONJ
cana-1053	85	6	the	the	DET
cana-1053	85	7	discrete	discrete	ADJ
cana-1053	85	8	entropy	entropy	NOUN
cana-1053	85	9	models	model	NOUN
cana-1053	85	10	discover	discover	VERB
cana-1053	85	11	marvelous	marvelous	ADJ
cana-1053	85	12	applications	application	NOUN
cana-1053	85	13	in	in	ADP
cana-1053	85	14	abundant	abundant	ADJ
cana-1053	85	15	many	many	ADJ
cana-1053	85	16	disciplines	discipline	NOUN
cana-1053	85	17	.	.	PUNCT
cana-1053	86	1	lenormand	lenormand	VERB
cana-1053	86	2	et	et	PROPN
cana-1053	86	3	al	al	PROPN
cana-1053	86	4	.	.	PUNCT
cana-1053	87	1	[	[	X
cana-1053	87	2	15	15	NUM
cana-1053	87	3	]	]	PUNCT
cana-1053	87	4	delivered	deliver	VERB
cana-1053	87	5	the	the	DET
cana-1053	87	6	presentations	presentation	NOUN
cana-1053	87	7	of	of	ADP
cana-1053	87	8	entropy	entropy	NOUN
cana-1053	87	9	grounded	ground	VERB
cana-1053	87	10	models	model	NOUN
cana-1053	87	11	in	in	ADP
cana-1053	87	12	urban	urban	ADJ
cana-1053	87	13	atmosphere	atmosphere	NOUN
cana-1053	87	14	and	and	CCONJ
cana-1053	87	15	commented	comment	VERB
cana-1053	87	16	that	that	SCONJ
cana-1053	87	17	describing	describe	VERB
cana-1053	87	18	and	and	CCONJ
cana-1053	87	19	enumerating	enumerate	VERB
cana-1053	87	20	longitudinal	longitudinal	ADJ
cana-1053	87	21	inequalities	inequality	NOUN
cana-1053	87	22	through	through	ADP
cana-1053	87	23	the	the	DET
cana-1053	87	24	urban	urban	ADJ
cana-1053	87	25	background	background	NOUN
cana-1053	87	26	remains	remain	VERB
cana-1053	87	27	an	an	DET
cana-1053	87	28	assorted	assorted	ADJ
cana-1053	87	29	and	and	CCONJ
cana-1053	87	30	secretive	secretive	ADJ
cana-1053	87	31	task	task	NOUN
cana-1053	87	32	which	which	PRON
cana-1053	87	33	has	have	AUX
cana-1053	87	34	been	be	AUX
cana-1053	87	35	accelerated	accelerate	VERB
cana-1053	87	36	by	by	ADP
cana-1053	87	37	the	the	DET
cana-1053	87	38	cumulative	cumulative	ADJ
cana-1053	87	39	accessibility	accessibility	NOUN
cana-1053	87	40	of	of	ADP
cana-1053	87	41	enormous	enormous	ADJ
cana-1053	87	42	geolocated	geolocate	VERB
cana-1053	87	43	successions	succession	NOUN
cana-1053	87	44	.	.	PUNCT
cana-1053	88	1	the	the	DET
cana-1053	88	2	outcomes	outcome	NOUN
cana-1053	88	3	of	of	ADP
cana-1053	88	4	their	their	PRON
cana-1053	88	5	research	research	NOUN
cana-1053	88	6	results	result	NOUN
cana-1053	88	7	provided	provide	VERB
cana-1053	88	8	illustration	illustration	NOUN
cana-1053	88	9	that	that	SCONJ
cana-1053	88	10	the	the	DET
cana-1053	88	11	attractiveness	attractiveness	NOUN
cana-1053	88	12	of	of	ADP
cana-1053	88	13	a	a	DET
cana-1053	88	14	specified	specify	VERB
cana-1053	88	15	locality	locality	NOUN
cana-1053	88	16	measured	measure	VERB
cana-1053	88	17	by	by	ADP
cana-1053	88	18	entropy	entropy	NOUN
cana-1053	88	19	is	be	AUX
cana-1053	88	20	a	a	DET
cana-1053	88	21	domineering	domineering	ADJ
cana-1053	88	22	descriptor	descriptor	NOUN
cana-1053	88	23	of	of	ADP
cana-1053	88	24	the	the	DET
cana-1053	88	25	socioeconomic	socioeconomic	ADJ
cana-1053	88	26	position	position	NOUN
cana-1053	88	27	of	of	ADP
cana-1053	88	28	the	the	DET
cana-1053	88	29	locality	locality	NOUN
cana-1053	88	30	and	and	CCONJ
cana-1053	88	31	can	can	AUX
cana-1053	88	32	consequently	consequently	ADV
cana-1053	88	33	be	be	AUX
cana-1053	88	34	second	second	ADV
cana-1053	88	35	-	-	PUNCT
cana-1053	88	36	handed	handed	ADJ
cana-1053	88	37	as	as	ADP
cana-1053	88	38	a	a	DET
cana-1053	88	39	demonstration	demonstration	NOUN
cana-1053	88	40	for	for	ADP
cana-1053	88	41	multifarious	multifarious	ADJ
cana-1053	88	42	socioeconomic	socioeconomic	ADJ
cana-1053	88	43	indicators	indicator	NOUN
cana-1053	88	44	.	.	PUNCT
cana-1053	89	1	saraiva	saraiva	NOUN
cana-1053	89	2	,	,	PUNCT
cana-1053	89	3	p.	p.	NOUN
cana-1053	90	1	[	[	X
cana-1053	90	2	31	31	NUM
cana-1053	90	3	]	]	PUNCT
cana-1053	90	4	made	make	VERB
cana-1053	90	5	accessible	accessible	ADJ
cana-1053	90	6	temporary	temporary	ADJ
cana-1053	90	7	and	and	CCONJ
cana-1053	90	8	unstructured	unstructured	ADJ
cana-1053	90	9	summary	summary	NOUN
cana-1053	90	10	to	to	ADP
cana-1053	90	11	shannon	shannon	PROPN
cana-1053	90	12	’s	’s	PART
cana-1053	90	13	[	[	X
cana-1053	90	14	33	33	NUM
cana-1053	90	15	]	]	PUNCT
cana-1053	90	16	entropy	entropy	NOUN
cana-1053	90	17	comprising	comprising	NOUN
cana-1053	90	18	of	of	ADP
cana-1053	90	19	particular	particular	ADJ
cana-1053	90	20	belongings	belonging	NOUN
cana-1053	90	21	and	and	CCONJ
cana-1053	90	22	provided	provide	VERB
cana-1053	90	23	the	the	DET
cana-1053	90	24	solicitations	solicitation	NOUN
cana-1053	90	25	of	of	ADP
cana-1053	90	26	the	the	DET
cana-1053	90	27	model	model	NOUN
cana-1053	90	28	in	in	ADP
cana-1053	90	29	two	two	NUM
cana-1053	90	30	divergent	divergent	ADJ
cana-1053	90	31	outlooks	outlook	NOUN
cana-1053	90	32	from	from	ADP
cana-1053	90	33	what	what	PRON
cana-1053	90	34	was	be	AUX
cana-1053	90	35	in	in	ADP
cana-1053	90	36	its	its	PRON
cana-1053	90	37	commencement	commencement	NOUN
cana-1053	90	38	:	:	PUNCT
cana-1053	90	39	biological	biological	ADJ
cana-1053	90	40	diversity	diversity	NOUN
cana-1053	90	41	and	and	CCONJ
cana-1053	90	42	a	a	DET
cana-1053	90	43	pioneering	pioneering	ADJ
cana-1053	90	44	learning	learning	NOUN
cana-1053	90	45	on	on	ADP
cana-1053	90	46	student	student	NOUN
cana-1053	90	47	migration	migration	NOUN
cana-1053	90	48	.	.	PUNCT
cana-1053	91	1	manzoor	manzoor	PROPN
cana-1053	91	2	et	et	PROPN
cana-1053	91	3	al	al	PROPN
cana-1053	91	4	.	.	PUNCT
cana-1053	92	1	[	[	X
cana-1053	92	2	17	17	NUM
cana-1053	92	3	]	]	PUNCT
cana-1053	92	4	delivered	deliver	VERB
cana-1053	92	5	the	the	DET
cana-1053	92	6	solicitations	solicitation	NOUN
cana-1053	92	7	of	of	ADP
cana-1053	92	8	entropy	entropy	PROPN
cana-1053	92	9	model	model	NOUN
cana-1053	92	10	in	in	ADP
cana-1053	92	11	the	the	DET
cana-1053	92	12	persuasion	persuasion	NOUN
cana-1053	92	13	of	of	ADP
cana-1053	92	14	chemistry	chemistry	NOUN
cana-1053	92	15	and	and	CCONJ
cana-1053	92	16	mentioned	mention	VERB
cana-1053	92	17	that	that	SCONJ
cana-1053	92	18	through	through	ADP
cana-1053	92	19	the	the	DET
cana-1053	92	20	provocation	provocation	NOUN
cana-1053	92	21	of	of	ADP
cana-1053	92	22	shannon	shannon	PROPN
cana-1053	92	23	’s	’s	PART
cana-1053	92	24	[	[	X
cana-1053	92	25	33	33	NUM
cana-1053	92	26	]	]	PUNCT
cana-1053	92	27	entropy	entropy	PROPN
cana-1053	92	28	,	,	PUNCT
cana-1053	92	29	the	the	DET
cana-1053	92	30	graph	graph	NOUN
cana-1053	92	31	entropies	entropy	NOUN
cana-1053	92	32	with	with	ADP
cana-1053	92	33	topological	topological	ADJ
cana-1053	92	34	indices	index	NOUN
cana-1053	92	35	have	have	AUX
cana-1053	92	36	been	be	AUX
cana-1053	92	37	fetching	fetch	VERB
cana-1053	92	38	the	the	DET
cana-1053	92	39	information	information	NOUN
cana-1053	92	40	-	-	PUNCT
cana-1053	92	41	theoretic	theoretic	NOUN
cana-1053	92	42	magnitudes	magnitude	NOUN
cana-1053	92	43	for	for	ADP
cana-1053	92	44	quantifying	quantify	VERB
cana-1053	92	45	the	the	DET
cana-1053	92	46	operative	operative	ADJ
cana-1053	92	47	information	information	NOUN
cana-1053	92	48	of	of	ADP
cana-1053	92	49	chemical	chemical	NOUN
cana-1053	92	50	graphs	graph	NOUN
cana-1053	92	51	and	and	CCONJ
cana-1053	92	52	multifaceted	multifaceted	ADJ
cana-1053	92	53	structures	structure	NOUN
cana-1053	92	54	.	.	PUNCT
cana-1053	93	1	elgawad	elgawad	NOUN
cana-1053	93	2	et	et	PROPN
cana-1053	93	3	al	al	PROPN
cana-1053	93	4	communications	communication	NOUN
cana-1053	93	5	on	on	ADP
cana-1053	93	6	applied	apply	VERB
cana-1053	93	7	nonlinear	nonlinear	ADJ
cana-1053	93	8	analysis	analysis	NOUN
cana-1053	93	9	issn	issn	NOUN
cana-1053	93	10	:	:	PUNCT
cana-1053	93	11	1074	1074	NUM
cana-1053	93	12	-	-	PUNCT
cana-1053	93	13	133x	133x	NUM
cana-1053	93	14	vol	vol	NOUN
cana-1053	93	15	31	31	NUM
cana-1053	93	16	no	no	NOUN
cana-1053	93	17	.	.	PUNCT
cana-1053	94	1	5s	5s	NUM
cana-1053	94	2	(	(	PUNCT
cana-1053	94	3	2024	2024	NUM
cana-1053	94	4	)	)	PUNCT
cana-1053	94	5	328	328	NUM
cana-1053	94	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	95	1	[	[	X
cana-1053	95	2	5	5	NUM
cana-1053	95	3	]	]	PUNCT
cana-1053	95	4	delivered	deliver	VERB
cana-1053	95	5	the	the	DET
cana-1053	95	6	presentations	presentation	NOUN
cana-1053	95	7	of	of	ADP
cana-1053	95	8	shannon	shannon	PROPN
cana-1053	95	9	’s	’s	PART
cana-1053	95	10	[	[	X
cana-1053	95	11	33	33	NUM
cana-1053	95	12	]	]	PUNCT
cana-1053	95	13	entropy	entropy	NOUN
cana-1053	95	14	in	in	ADP
cana-1053	95	15	the	the	DET
cana-1053	95	16	arena	arena	NOUN
cana-1053	95	17	of	of	ADP
cana-1053	95	18	statistics	statistic	NOUN
cana-1053	95	19	comprising	comprising	NOUN
cana-1053	95	20	of	of	ADP
cana-1053	95	21	order	order	NOUN
cana-1053	95	22	statistics	statistic	NOUN
cana-1053	95	23	and	and	CCONJ
cana-1053	95	24	for	for	ADP
cana-1053	95	25	some	some	DET
cana-1053	95	26	documented	document	VERB
cana-1053	95	27	disseminations	dissemination	NOUN
cana-1053	95	28	.	.	PUNCT
cana-1053	96	1	bulinski	bulinski	PROPN
cana-1053	96	2	and	and	CCONJ
cana-1053	96	3	kozhevin	kozhevin	X
cana-1053	97	1	[	[	X
cana-1053	97	2	3	3	X
cana-1053	97	3	]	]	PUNCT
cana-1053	97	4	delivered	deliver	VERB
cana-1053	97	5	the	the	DET
cana-1053	97	6	presentations	presentation	NOUN
cana-1053	97	7	of	of	ADP
cana-1053	97	8	entropy	entropy	NOUN
cana-1053	97	9	function	function	VERB
cana-1053	97	10	to	to	PART
cana-1053	97	11	procure	procure	VERB
cana-1053	97	12	concerns	concern	NOUN
cana-1053	97	13	which	which	PRON
cana-1053	97	14	can	can	AUX
cana-1053	97	15	be	be	AUX
cana-1053	97	16	made	make	VERB
cana-1053	97	17	practical	practical	ADJ
cana-1053	97	18	to	to	ADP
cana-1053	97	19	the	the	DET
cana-1053	97	20	feature	feature	NOUN
cana-1053	97	21	selection	selection	NOUN
cana-1053	97	22	problems	problem	NOUN
cana-1053	97	23	.	.	PUNCT
cana-1053	98	1	some	some	DET
cana-1053	98	2	additional	additional	ADJ
cana-1053	98	3	pioneers	pioneer	NOUN
cana-1053	98	4	who	who	PRON
cana-1053	98	5	have	have	AUX
cana-1053	98	6	publicized	publicize	VERB
cana-1053	98	7	their	their	PRON
cana-1053	98	8	concentration	concentration	NOUN
cana-1053	98	9	to	to	PART
cana-1053	98	10	study	study	VERB
cana-1053	98	11	the	the	DET
cana-1053	98	12	discrete	discrete	ADJ
cana-1053	98	13	entropic	entropic	ADJ
cana-1053	98	14	models	model	NOUN
cana-1053	98	15	are	be	AUX
cana-1053	98	16	parkash	parkash	NOUN
cana-1053	98	17	and	and	CCONJ
cana-1053	98	18	mukesh	mukesh	PROPN
cana-1053	99	1	[	[	X
cana-1053	99	2	26	26	NUM
cana-1053	99	3	,	,	PUNCT
cana-1053	99	4	27	27	NUM
cana-1053	99	5	]	]	PUNCT
cana-1053	99	6	,	,	PUNCT
cana-1053	99	7	yuan	yuan	NOUN
cana-1053	99	8	et	et	PROPN
cana-1053	99	9	al	al	PROPN
cana-1053	99	10	.	.	PUNCT
cana-1053	100	1	[	[	X
cana-1053	100	2	39	39	NUM
cana-1053	100	3	]	]	PUNCT
cana-1053	100	4	,	,	PUNCT
cana-1053	100	5	sholehkerdar	sholehkerdar	NOUN
cana-1053	100	6	et	et	PROPN
cana-1053	100	7	al	al	PROPN
cana-1053	100	8	.	.	PUNCT
cana-1053	101	1	[	[	X
cana-1053	101	2	35	35	NUM
cana-1053	101	3	]	]	PUNCT
cana-1053	101	4	,	,	PUNCT
cana-1053	101	5	lu	lu	PROPN
cana-1053	101	6	et	et	PROPN
cana-1053	101	7	al	al	PROPN
cana-1053	101	8	.	.	PUNCT
cana-1053	102	1	[	[	X
cana-1053	102	2	16	16	NUM
cana-1053	102	3	]	]	PUNCT
cana-1053	102	4	,	,	PUNCT
cana-1053	102	5	gui	gui	PROPN
cana-1053	102	6	et	et	PROPN
cana-1053	102	7	al	al	PROPN
cana-1053	102	8	.	.	PUNCT
cana-1053	103	1	[	[	X
cana-1053	103	2	7	7	NUM
cana-1053	103	3	]	]	PUNCT
cana-1053	103	4	,	,	PUNCT
cana-1053	103	5	zhang	zhang	PROPN
cana-1053	103	6	and	and	CCONJ
cana-1053	103	7	shi	shi	PROPN
cana-1053	104	1	[	[	X
cana-1053	104	2	40	40	NUM
cana-1053	104	3	]	]	PUNCT
cana-1053	104	4	,	,	PUNCT
cana-1053	104	5	hojjati	hojjati	NOUN
cana-1053	104	6	et	et	PROPN
cana-1053	104	7	al	al	PROPN
cana-1053	104	8	.	.	PUNCT
cana-1053	105	1	[	[	X
cana-1053	105	2	10],shwartz	10],shwartz	NUM
cana-1053	105	3	and	and	CCONJ
cana-1053	105	4	lecun	lecun	ADJ
cana-1053	106	1	[	[	X
cana-1053	106	2	36],stoyanov	36],stoyanov	NUM
cana-1053	106	3	et	et	NOUN
cana-1053	106	4	al	al	PROPN
cana-1053	106	5	.	.	PUNCT
cana-1053	107	1	[	[	X
cana-1053	107	2	37	37	NUM
cana-1053	107	3	]	]	PUNCT
cana-1053	107	4	etc	etc	X
cana-1053	107	5	.	.	X
cana-1053	107	6	this	this	DET
cana-1053	107	7	fundamental	fundamental	ADJ
cana-1053	107	8	perception	perception	NOUN
cana-1053	107	9	of	of	ADP
cana-1053	107	10	inaccuracy	inaccuracy	NOUN
cana-1053	107	11	has	have	AUX
cana-1053	107	12	been	be	AUX
cana-1053	107	13	explained	explain	VERB
cana-1053	107	14	subsequently	subsequently	ADV
cana-1053	107	15	:	:	PUNCT
cana-1053	107	16	assume	assume	VERB
cana-1053	107	17	that	that	SCONJ
cana-1053	107	18	an	an	DET
cana-1053	107	19	experimenter	experimenter	NOUN
cana-1053	107	20	states	state	VERB
cana-1053	107	21	that	that	SCONJ
cana-1053	107	22	the	the	DET
cana-1053	107	23	probability	probability	NOUN
cana-1053	107	24	of	of	ADP
cana-1053	107	25	the	the	DET
cana-1053	107	26	thi	thi	PROPN
cana-1053	107	27	outcome	outcome	NOUN
cana-1053	107	28	of	of	ADP
cana-1053	107	29	the	the	DET
cana-1053	107	30	random	random	ADJ
cana-1053	107	31	experiment	experiment	NOUN
cana-1053	107	32	is	be	AUX
cana-1053	107	33	iq	iq	NOUN
cana-1053	107	34	while	while	SCONJ
cana-1053	107	35	the	the	DET
cana-1053	107	36	exact	exact	ADJ
cana-1053	107	37	probability	probability	NOUN
cana-1053	107	38	is	be	AUX
cana-1053	107	39	ip	ip	ADJ
cana-1053	107	40	.	.	PUNCT
cana-1053	108	1	then	then	ADV
cana-1053	108	2	,	,	PUNCT
cana-1053	108	3	taking	take	VERB
cana-1053	108	4	some	some	DET
cana-1053	108	5	convinced	convinced	ADJ
cana-1053	108	6	postulates	postulate	NOUN
cana-1053	108	7	,	,	PUNCT
cana-1053	108	8	kerridge	kerridge	VERB
cana-1053	108	9	[	[	X
cana-1053	108	10	14	14	NUM
cana-1053	108	11	]	]	PUNCT
cana-1053	108	12	proved	prove	VERB
cana-1053	108	13	that	that	SCONJ
cana-1053	108	14	the	the	DET
cana-1053	108	15	inaccuracy	inaccuracy	NOUN
cana-1053	108	16	of	of	ADP
cana-1053	108	17	the	the	DET
cana-1053	108	18	above	above	ADJ
cana-1053	108	19	declaration	declaration	NOUN
cana-1053	108	20	is	be	AUX
cana-1053	108	21	given	give	VERB
cana-1053	108	22	by	by	ADP
cana-1053	108	23	the	the	DET
cana-1053	108	24	subsequent	subsequent	ADJ
cana-1053	108	25	numerical	numerical	ADJ
cana-1053	108	26	appearance	appearance	NOUN
cana-1053	108	27	:	:	PUNCT
cana-1053	108	28	2	2	NUM
cana-1053	108	29	1	1	NUM
cana-1053	108	30	(	(	PUNCT
cana-1053	108	31	p;q	p;q	ADV
cana-1053	108	32	)	)	PUNCT
cana-1053	108	33	log	log	NOUN
cana-1053	108	34	.	.	PUNCT
cana-1053	109	1	n	n	CCONJ
cana-1053	110	1	i	i	PRON
cana-1053	110	2	i	i	PRON
cana-1053	111	1	i	i	PRON
cana-1053	111	2	i	i	PRON
cana-1053	112	1	p	p	X
cana-1053	112	2	q	q	NOUN
cana-1053	113	1	=	=	PUNCT
cana-1053	113	2	=	=	SYM
cana-1053	113	3	−	−	NOUN
cana-1053	113	4	(	(	PUNCT
cana-1053	113	5	1.8	1.8	NUM
cana-1053	113	6	)	)	PUNCT
cana-1053	113	7	if	if	SCONJ
cana-1053	113	8	0iq	0iq	NOUN
cana-1053	113	9	=	=	SYM
cana-1053	113	10	,	,	PUNCT
cana-1053	113	11	0ip	0ip	NOUN
cana-1053	113	12	=	=	PUNCT
cana-1053	114	1	for	for	ADP
cana-1053	114	2	some	some	DET
cana-1053	114	3	index	index	NOUN
cana-1053	114	4	i	i	PRON
cana-1053	114	5	,	,	PUNCT
cana-1053	114	6	then	then	ADV
cana-1053	114	7	we	we	PRON
cana-1053	114	8	adopt	adopt	VERB
cana-1053	114	9	the	the	DET
cana-1053	114	10	convention	convention	NOUN
cana-1053	114	11	20log	20log	NOUN
cana-1053	114	12	0	0	NUM
cana-1053	114	13	:	:	PUNCT
cana-1053	114	14	0=	0=	NUM
cana-1053	114	15	.	.	PUNCT
cana-1053	115	1	on	on	ADP
cana-1053	115	2	the	the	DET
cana-1053	115	3	other	other	ADJ
cana-1053	115	4	hand	hand	NOUN
cana-1053	115	5	,	,	PUNCT
cana-1053	115	6	if	if	SCONJ
cana-1053	115	7	0iq	0iq	NOUN
cana-1053	115	8	=	=	PUNCT
cana-1053	115	9	but	but	CCONJ
cana-1053	115	10	0ip	0ip	NOUN
cana-1053	115	11			PROPN
cana-1053	115	12	for	for	ADP
cana-1053	115	13	some	some	DET
cana-1053	115	14	index	index	NOUN
cana-1053	116	1	i	i	PRON
cana-1053	116	2	,	,	PUNCT
cana-1053	116	3	then	then	ADV
cana-1053	116	4	2logi	2logi	NUM
cana-1053	116	5	ip	ip	NOUN
cana-1053	116	6	q−	q−	PROPN
cana-1053	116	7	=	=	PUNCT
cana-1053	117	1	+	+	PUNCT
cana-1053	117	2			NOUN
cana-1053	117	3	.	.	PUNCT
cana-1053	118	1	consequently	consequently	ADV
cana-1053	118	2	,	,	PUNCT
cana-1053	118	3	the	the	DET
cana-1053	118	4	right	right	ADJ
cana-1053	118	5	hand	hand	NOUN
cana-1053	118	6	side	side	NOUN
cana-1053	118	7	of	of	ADP
cana-1053	118	8	(	(	PUNCT
cana-1053	118	9	1.8	1.8	NUM
cana-1053	118	10	)	)	PUNCT
cana-1053	118	11	is	be	AUX
cana-1053	118	12	no	no	ADV
cana-1053	118	13	longer	long	ADV
cana-1053	118	14	a	a	DET
cana-1053	118	15	nonnegative	nonnegative	ADJ
cana-1053	118	16	real	real	ADJ
cana-1053	118	17	number	number	NOUN
cana-1053	118	18	.	.	PUNCT
cana-1053	119	1	the	the	DET
cana-1053	119	2	inaccuracy	inaccuracy	NOUN
cana-1053	119	3	(	(	PUNCT
cana-1053	119	4	;	;	PUNCT
cana-1053	119	5	)	)	PUNCT
cana-1053	119	6	0i	0i	PROPN
cana-1053	119	7	ii	ii	PROPN
cana-1053	120	1	p	p	X
cana-1053	120	2	q	q	PROPN
cana-1053	120	3	=	=	PUNCT
cana-1053	120	4	iff	iff	PROPN
cana-1053	120	5	1i	1i	NOUN
cana-1053	120	6	ip	ip	VERB
cana-1053	120	7	q=	q=	ADV
cana-1053	120	8	=	=	PUNCT
cana-1053	120	9	for	for	ADP
cana-1053	120	10	exactly	exactly	ADV
cana-1053	120	11	one	one	NUM
cana-1053	120	12	i	i	PRON
cana-1053	120	13	,	,	PUNCT
cana-1053	120	14	so	so	SCONJ
cana-1053	120	15	that	that	SCONJ
cana-1053	120	16	0j	0j	NOUN
cana-1053	120	17	jp	jp	INTJ
cana-1053	120	18	q=	q=	ADV
cana-1053	120	19	=	=	PUNCT
cana-1053	120	20	for	for	ADP
cana-1053	120	21	all	all	DET
cana-1053	120	22	j	j	PROPN
cana-1053	120	23	,	,	PUNCT
cana-1053	120	24	1	1	NUM
cana-1053	120	25	i	i	PRON
cana-1053	120	26	j	j	PROPN
cana-1053	120	27	n	n	PROPN
cana-1053	120	28			VERB
cana-1053	120	29			NOUN
cana-1053	120	30	if	if	SCONJ
cana-1053	120	31	such	such	ADJ
cana-1053	120	32	j	j	PROPN
cana-1053	120	33	’s	’s	PART
cana-1053	120	34	exist	exist	VERB
cana-1053	120	35	.	.	PUNCT
cana-1053	121	1	in	in	ADP
cana-1053	121	2	order	order	NOUN
cana-1053	121	3	to	to	PART
cana-1053	121	4	ensure	ensure	VERB
cana-1053	121	5	that	that	SCONJ
cana-1053	121	6	the	the	DET
cana-1053	121	7	right	right	ADJ
cana-1053	121	8	hand	hand	NOUN
cana-1053	121	9	side	side	NOUN
cana-1053	121	10	of	of	ADP
cana-1053	121	11	(	(	PUNCT
cana-1053	121	12	1.8	1.8	NUM
cana-1053	121	13	)	)	PUNCT
cana-1053	121	14	is	be	AUX
cana-1053	121	15	a	a	DET
cana-1053	121	16	nonnegative	nonnegative	ADJ
cana-1053	121	17	real	real	ADJ
cana-1053	121	18	number	number	NOUN
cana-1053	121	19	,	,	PUNCT
cana-1053	121	20	one	one	NUM
cana-1053	121	21	way	way	NOUN
cana-1053	121	22	is	be	AUX
cana-1053	121	23	to	to	PART
cana-1053	121	24	consider	consider	VERB
cana-1053	121	25	only	only	ADV
cana-1053	121	26	those	those	DET
cana-1053	121	27	i	i	PRON
cana-1053	121	28	np	np	ADV
cana-1053	121	29			NOUN
cana-1053	121	30	,	,	PUNCT
cana-1053	121	31	i	i	PRON
cana-1053	121	32	nq	nq	PROPN
cana-1053	121	33			NOUN
cana-1053	121	34	which	which	PRON
cana-1053	121	35	have	have	VERB
cana-1053	121	36	the	the	DET
cana-1053	121	37	property	property	NOUN
cana-1053	121	38	that	that	DET
cana-1053	121	39	0ip	0ip	NOUN
cana-1053	122	1	=	=	PUNCT
cana-1053	122	2	whenever	whenever	SCONJ
cana-1053	122	3	0iq	0iq	NOUN
cana-1053	122	4	=	=	X
cana-1053	122	5	.	.	PUNCT
cana-1053	123	1	for	for	ADP
cana-1053	123	2	instance	instance	NOUN
cana-1053	123	3	,	,	PUNCT
cana-1053	123	4	consider	consider	VERB
cana-1053	123	5	1	1	NUM
cana-1053	123	6	2	2	NUM
cana-1053	123	7	5	5	NUM
cana-1053	123	8	5	5	NUM
cana-1053	123	9	(	(	PUNCT
cana-1053	123	10	,	,	PUNCT
cana-1053	123	11	,	,	PUNCT
cana-1053	123	12	...	...	PUNCT
cana-1053	123	13	,	,	PUNCT
cana-1053	123	14	)	)	PUNCT
cana-1053	124	1	p	p	X
cana-1053	125	1	p	p	X
cana-1053	125	2	p	p	NOUN
cana-1053	125	3			NOUN
cana-1053	125	4	and	and	CCONJ
cana-1053	125	5	1	1	NUM
cana-1053	125	6	2	2	NUM
cana-1053	125	7	5	5	NUM
cana-1053	125	8	5	5	NUM
cana-1053	125	9	(	(	PUNCT
cana-1053	125	10	,	,	PUNCT
cana-1053	125	11	,	,	PUNCT
cana-1053	125	12	...	...	PUNCT
cana-1053	125	13	,	,	PUNCT
cana-1053	125	14	)	)	PUNCT
cana-1053	125	15	q	q	NOUN
cana-1053	126	1	q	q	X
cana-1053	126	2	q	q	X
cana-1053	126	3			NOUN
cana-1053	126	4	where	where	SCONJ
cana-1053	126	5	1	1	NUM
cana-1053	126	6	2	2	NUM
cana-1053	126	7	3	3	NUM
cana-1053	126	8	4	4	NUM
cana-1053	126	9	5	5	NUM
cana-1053	126	10	1	1	NUM
cana-1053	126	11	4	4	NUM
cana-1053	126	12	,	,	PUNCT
cana-1053	126	13	0	0	NUM
cana-1053	126	14	,	,	PUNCT
cana-1053	126	15	0	0	NUM
cana-1053	126	16	,	,	PUNCT
cana-1053	126	17	,	,	PUNCT
cana-1053	126	18	0	0	NUM
cana-1053	126	19	5	5	NUM
cana-1053	126	20	5	5	NUM
cana-1053	126	21	p	p	NOUN
cana-1053	126	22	p	p	X
cana-1053	126	23	p	p	X
cana-1053	126	24	p	p	X
cana-1053	126	25	p=	p=	NOUN
cana-1053	126	26	=	=	PUNCT
cana-1053	126	27	=	=	PUNCT
cana-1053	127	1	=	=	PUNCT
cana-1053	127	2	=	=	X
cana-1053	127	3	and	and	CCONJ
cana-1053	127	4	1	1	NUM
cana-1053	127	5	2	2	NUM
cana-1053	127	6	3	3	NUM
cana-1053	127	7	4	4	NUM
cana-1053	127	8	5	5	NUM
cana-1053	127	9	2	2	NUM
cana-1053	127	10	1	1	NUM
cana-1053	127	11	1	1	NUM
cana-1053	127	12	,	,	PUNCT
cana-1053	127	13	0	0	NUM
cana-1053	127	14	,	,	PUNCT
cana-1053	127	15	0	0	NUM
cana-1053	127	16	,	,	PUNCT
cana-1053	127	17	,	,	PUNCT
cana-1053	127	18	3	3	NUM
cana-1053	127	19	6	6	NUM
cana-1053	127	20	6	6	NUM
cana-1053	127	21	q	q	NOUN
cana-1053	127	22	q	q	NOUN
cana-1053	127	23	q	q	X
cana-1053	127	24	q	q	NOUN
cana-1053	127	25	q=	q=	ADV
cana-1053	127	26	=	=	PUNCT
cana-1053	127	27	=	=	PUNCT
cana-1053	127	28	=	=	PUNCT
cana-1053	127	29	=	=	PUNCT
cana-1053	127	30	.	.	PUNCT
cana-1053	128	1	notice	notice	VERB
cana-1053	128	2	that	that	SCONJ
cana-1053	128	3	,	,	PUNCT
cana-1053	128	4	here	here	ADV
cana-1053	128	5	,	,	PUNCT
cana-1053	128	6	0ip	0ip	NOUN
cana-1053	129	1	=	=	PUNCT
cana-1053	129	2	whenever	whenever	SCONJ
cana-1053	129	3	0iq	0iq	PROPN
cana-1053	129	4	=	=	SYM
cana-1053	129	5	,	,	PUNCT
cana-1053	129	6	2,3i	2,3i	PROPN
cana-1053	129	7	=	=	NOUN
cana-1053	129	8	.	.	PUNCT
cana-1053	130	1	since	since	SCONJ
cana-1053	130	2	5	5	NUM
cana-1053	130	3	5	5	NUM
cana-1053	130	4	1	1	NUM
cana-1053	130	5	,	,	PUNCT
cana-1053	130	6	0	0	NUM
cana-1053	130	7	6	6	NUM
cana-1053	130	8	q	q	NOUN
cana-1053	130	9	p=	p=	NOUN
cana-1053	130	10	=	=	NOUN
cana-1053	130	11	,	,	PUNCT
cana-1053	130	12	it	it	PRON
cana-1053	130	13	follows	follow	VERB
cana-1053	130	14	that	that	SCONJ
cana-1053	130	15	2	2	NUM
cana-1053	130	16	1	1	NUM
cana-1053	130	17	1	1	NUM
cana-1053	130	18	1	1	NUM
cana-1053	130	19	4	4	NUM
cana-1053	130	20	,	,	PUNCT
cana-1053	130	21	0,0	0,0	NOUN
cana-1053	130	22	,	,	PUNCT
cana-1053	130	23	,	,	PUNCT
cana-1053	130	24	;	;	PUNCT
cana-1053	130	25	,	,	PUNCT
cana-1053	130	26	0,0	0,0	NOUN
cana-1053	130	27	,	,	PUNCT
cana-1053	130	28	,	,	PUNCT
cana-1053	130	29	0	0	NUM
cana-1053	130	30	3	3	NUM
cana-1053	130	31	6	6	NUM
cana-1053	130	32	6	6	NUM
cana-1053	130	33	5	5	NUM
cana-1053	130	34	5	5	NUM
cana-1053	130	35	i	i	PRON
cana-1053	130	36			VERB
cana-1053	130	37			NOUN
cana-1053	130	38	=	=	PUNCT
cana-1053	131	1	+	+	ADJ
cana-1053	131	2			ADJ
cana-1053	131	3			PRON
cana-1053	131	4			ADJ
cana-1053	131	5			NOUN
cana-1053	131	6	whereas	whereas	SCONJ
cana-1053	131	7	1	1	NUM
cana-1053	131	8	4	4	NUM
cana-1053	131	9	2	2	NUM
cana-1053	131	10	1	1	NUM
cana-1053	131	11	1	1	NUM
cana-1053	131	12	,	,	PUNCT
cana-1053	131	13	0,0	0,0	NOUN
cana-1053	131	14	,	,	PUNCT
cana-1053	131	15	,	,	PUNCT
cana-1053	131	16	0	0	NUM
cana-1053	131	17	;	;	PUNCT
cana-1053	131	18	,	,	PUNCT
cana-1053	131	19	0,0	0,0	NOUN
cana-1053	131	20	,	,	PUNCT
cana-1053	131	21	,	,	PUNCT
cana-1053	131	22	5	5	NUM
cana-1053	131	23	5	5	NUM
cana-1053	131	24	3	3	NUM
cana-1053	131	25	6	6	NUM
cana-1053	131	26	6	6	NUM
cana-1053	132	1	i	i	PRON
cana-1053	132	2			NOUN
cana-1053	132	3			PROPN
cana-1053	132	4			PROPN
cana-1053	132	5			PROPN
cana-1053	133	1			ADJ
cana-1053	133	2			NOUN
cana-1053	133	3	is	be	AUX
cana-1053	133	4	a	a	DET
cana-1053	133	5	positive	positive	ADJ
cana-1053	133	6	real	real	ADJ
cana-1053	133	7	number	number	NOUN
cana-1053	133	8	.	.	PUNCT
cana-1053	134	1	if	if	SCONJ
cana-1053	134	2	we	we	PRON
cana-1053	134	3	consider	consider	VERB
cana-1053	134	4	the	the	DET
cana-1053	134	5	probability	probability	NOUN
cana-1053	134	6	distributions	distribution	NOUN
cana-1053	134	7	*	*	PUNCT
cana-1053	134	8	i	i	PRON
cana-1053	134	9	np	np	ADV
cana-1053	134	10			NOUN
cana-1053	134	11	,	,	PUNCT
cana-1053	134	12	*	*	PUNCT
cana-1053	134	13	i	i	PRON
cana-1053	134	14	nq	nq	PROPN
cana-1053	134	15			NOUN
cana-1053	134	16	,	,	PUNCT
cana-1053	134	17	then	then	ADV
cana-1053	134	18	both	both	PRON
cana-1053	134	19	(	(	PUNCT
cana-1053	134	20	;	;	PUNCT
cana-1053	134	21	)	)	PUNCT
cana-1053	134	22	i	i	PRON
cana-1053	134	23	ii	ii	VERB
cana-1053	134	24	p	p	NOUN
cana-1053	134	25	q	q	X
cana-1053	135	1	and	and	CCONJ
cana-1053	135	2	(	(	PUNCT
cana-1053	135	3	;	;	PUNCT
cana-1053	135	4	)	)	PUNCT
cana-1053	135	5	i	i	PRON
cana-1053	135	6	ii	ii	VERB
cana-1053	136	1	q	q	NOUN
cana-1053	136	2	p	p	NOUN
cana-1053	136	3	are	be	AUX
cana-1053	136	4	nonnegative	nonnegative	ADJ
cana-1053	136	5	real	real	ADJ
cana-1053	136	6	numbers	number	NOUN
cana-1053	136	7	,	,	PUNCT
cana-1053	136	8	not	not	PART
cana-1053	136	9	necessarily	necessarily	ADV
cana-1053	136	10	equal	equal	ADJ
cana-1053	136	11	.	.	PUNCT
cana-1053	137	1	however	however	ADV
cana-1053	137	2	,	,	PUNCT
cana-1053	137	3	if	if	SCONJ
cana-1053	137	4	i	i	PRON
cana-1053	137	5	np	np	VERB
cana-1053	137	6			NOUN
cana-1053	138	1	but	but	CCONJ
cana-1053	138	2	*	*	PUNCT
cana-1053	138	3	i	i	PRON
cana-1053	138	4	nq	nq	PROPN
cana-1053	138	5			NOUN
cana-1053	138	6	,	,	PUNCT
cana-1053	138	7	then	then	ADV
cana-1053	138	8	(	(	PUNCT
cana-1053	138	9	;	;	PUNCT
cana-1053	138	10	)	)	PUNCT
cana-1053	138	11	i	i	PRON
cana-1053	138	12	ii	ii	VERB
cana-1053	139	1	p	p	X
cana-1053	139	2	q	q	PROPN
cana-1053	139	3	is	be	AUX
cana-1053	139	4	a	a	DET
cana-1053	139	5	nonnegative	nonnegative	ADJ
cana-1053	139	6	real	real	ADJ
cana-1053	139	7	number	number	NOUN
cana-1053	139	8	but	but	CCONJ
cana-1053	139	9	(	(	PUNCT
cana-1053	139	10	;	;	PUNCT
cana-1053	139	11	)	)	PUNCT
cana-1053	139	12	i	i	PRON
cana-1053	139	13	ii	ii	VERB
cana-1053	140	1	q	q	X
cana-1053	140	2	p	p	X
cana-1053	140	3	may	may	AUX
cana-1053	140	4	not	not	PART
cana-1053	140	5	be	be	AUX
cana-1053	140	6	a	a	DET
cana-1053	140	7	nonnegative	nonnegative	ADJ
cana-1053	140	8	real	real	ADJ
cana-1053	140	9	number	number	NOUN
cana-1053	140	10	.	.	PUNCT
cana-1053	141	1	however	however	ADV
cana-1053	141	2	,	,	PUNCT
cana-1053	141	3	if	if	SCONJ
cana-1053	141	4	*	*	PUNCT
cana-1053	141	5	i	i	PRON
cana-1053	141	6	np	np	ADV
cana-1053	141	7			NOUN
cana-1053	141	8	,	,	PUNCT
cana-1053	141	9	*	*	PUNCT
cana-1053	141	10	i	i	PRON
cana-1053	141	11	nq	nq	PROPN
cana-1053	141	12			NOUN
cana-1053	141	13	,	,	PUNCT
cana-1053	141	14	then	then	ADV
cana-1053	141	15	(	(	PUNCT
cana-1053	142	1	;	;	PUNCT
cana-1053	142	2	)	)	PUNCT
cana-1053	142	3	i	i	PRON
cana-1053	142	4	ii	ii	VERB
cana-1053	143	1	p	p	X
cana-1053	143	2	q	q	PROPN
cana-1053	143	3	is	be	AUX
cana-1053	143	4	always	always	ADV
cana-1053	143	5	a	a	DET
cana-1053	143	6	nonnegative	nonnegative	ADJ
cana-1053	143	7	real	real	ADJ
cana-1053	143	8	number	number	NOUN
cana-1053	143	9	and	and	CCONJ
cana-1053	143	10	we	we	PRON
cana-1053	143	11	write	write	VERB
cana-1053	143	12	(	(	PUNCT
cana-1053	143	13	1.8	1.8	NUM
cana-1053	143	14	)	)	PUNCT
cana-1053	143	15	as	as	ADP
cana-1053	143	16	2	2	NUM
cana-1053	143	17	1	1	NUM
cana-1053	143	18	1	1	NUM
cana-1053	143	19	(	(	PUNCT
cana-1053	143	20	;	;	PUNCT
cana-1053	143	21	)	)	PUNCT
cana-1053	143	22	log	log	VERB
cana-1053	143	23	n	n	INTJ
cana-1053	144	1	i	i	PRON
cana-1053	144	2	i	i	PRON
cana-1053	145	1	i	i	PRON
cana-1053	145	2	ii	ii	VERB
cana-1053	146	1	i	i	PRON
cana-1053	146	2	p	p	X
cana-1053	146	3	q	q	X
cana-1053	146	4	p	p	X
cana-1053	146	5	q=	q=	ADV
cana-1053	146	6			NOUN
cana-1053	146	7			NOUN
cana-1053	146	8	=	=	SYM
cana-1053	146	9			PROPN
cana-1053	146	10			PROPN
cana-1053	146	11			PROPN
cana-1053	146	12			NOUN
cana-1053	146	13			X
cana-1053	146	14	.	.	PUNCT
cana-1053	147	1	(	(	PUNCT
cana-1053	147	2	1.9	1.9	NUM
cana-1053	147	3	)	)	PUNCT
cana-1053	147	4	communications	communication	NOUN
cana-1053	147	5	on	on	ADP
cana-1053	147	6	applied	apply	VERB
cana-1053	147	7	nonlinear	nonlinear	ADJ
cana-1053	147	8	analysis	analysis	NOUN
cana-1053	147	9	issn	issn	NOUN
cana-1053	147	10	:	:	PUNCT
cana-1053	147	11	1074	1074	NUM
cana-1053	147	12	-	-	PUNCT
cana-1053	147	13	133x	133x	NUM
cana-1053	147	14	vol	vol	NOUN
cana-1053	147	15	31	31	NUM
cana-1053	147	16	no	no	NOUN
cana-1053	147	17	.	.	PUNCT
cana-1053	148	1	5s	5s	NUM
cana-1053	148	2	(	(	PUNCT
cana-1053	148	3	2024	2024	NUM
cana-1053	148	4	)	)	PUNCT
cana-1053	148	5	329	329	NUM
cana-1053	148	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	148	7	the	the	DET
cana-1053	148	8	inaccuracy	inaccuracy	ADJ
cana-1053	148	9	model	model	NOUN
cana-1053	148	10	(	(	PUNCT
cana-1053	148	11	1.8	1.8	NUM
cana-1053	148	12	)	)	PUNCT
cana-1053	148	13	reduces	reduce	VERB
cana-1053	148	14	to	to	PART
cana-1053	148	15	shannon	shannon	PROPN
cana-1053	148	16	’s	’s	PART
cana-1053	148	17	[	[	X
cana-1053	148	18	33	33	NUM
cana-1053	148	19	]	]	PUNCT
cana-1053	148	20	entropic	entropic	ADJ
cana-1053	148	21	model	model	NOUN
cana-1053	148	22	for	for	ADP
cana-1053	148	23	p	p	PROPN
cana-1053	148	24	q=	q=	ADV
cana-1053	148	25	,	,	PUNCT
cana-1053	148	26	that	that	ADV
cana-1053	148	27	is	is	ADV
cana-1053	148	28	,	,	PUNCT
cana-1053	148	29	.i	.i	PROPN
cana-1053	148	30	ip	ip	NOUN
cana-1053	148	31	q=	q=	ADV
cana-1053	148	32	from	from	ADP
cana-1053	148	33	kerridge	kerridge	PROPN
cana-1053	148	34	’s	’s	PART
cana-1053	149	1	[	[	X
cana-1053	149	2	14	14	NUM
cana-1053	149	3	]	]	SYM
cana-1053	149	4	innovative	innovative	ADJ
cana-1053	149	5	description	description	NOUN
cana-1053	149	6	of	of	ADP
cana-1053	149	7	a	a	DET
cana-1053	149	8	measure	measure	NOUN
cana-1053	149	9	of	of	ADP
cana-1053	149	10	inaccuracy	inaccuracy	NOUN
cana-1053	149	11	,	,	PUNCT
cana-1053	149	12	three	three	NUM
cana-1053	149	13	deep	deep	ADV
cana-1053	149	14	-	-	PUNCT
cana-1053	149	15	seated	seat	VERB
cana-1053	149	16	properties	property	NOUN
cana-1053	149	17	of	of	ADP
cana-1053	149	18	an	an	DET
cana-1053	149	19	inaccuracy	inaccuracy	ADJ
cana-1053	149	20	model	model	NOUN
cana-1053	149	21	are	be	AUX
cana-1053	149	22	:	:	PUNCT
cana-1053	149	23	(	(	PUNCT
cana-1053	149	24	i	i	NOUN
cana-1053	149	25	)	)	PUNCT
cana-1053	149	26	(	(	PUNCT
cana-1053	149	27	:	:	PUNCT
cana-1053	149	28	)	)	PUNCT
cana-1053	150	1	i	i	PRON
cana-1053	150	2	p	p	NOUN
cana-1053	151	1	p	p	X
cana-1053	151	2	should	should	AUX
cana-1053	151	3	be	be	AUX
cana-1053	151	4	a	a	DET
cana-1053	151	5	measure	measure	NOUN
cana-1053	151	6	of	of	ADP
cana-1053	151	7	entropy	entropy	NOUN
cana-1053	151	8	of	of	ADP
cana-1053	151	9	p	p	PROPN
cana-1053	151	10	(	(	PUNCT
cana-1053	151	11	ii	ii	NOUN
cana-1053	151	12	)	)	PUNCT
cana-1053	151	13	(	(	PUNCT
cana-1053	151	14	)	)	PUNCT
cana-1053	151	15	(	(	PUNCT
cana-1053	151	16	:	:	PUNCT
cana-1053	151	17	)	)	PUNCT
cana-1053	151	18	:	:	PUNCT
cana-1053	151	19	i	i	PRON
cana-1053	151	20	p	p	X
cana-1053	151	21	q	q	X
cana-1053	152	1	i	i	PRON
cana-1053	152	2	p	p	NOUN
cana-1053	152	3	p	p	NOUN
cana-1053	152	4	and	and	CCONJ
cana-1053	152	5	equivalence	equivalence	NOUN
cana-1053	152	6	insignia	insignia	NOUN
cana-1053	152	7	clutches	clutch	NOUN
cana-1053	152	8	only	only	ADV
cana-1053	152	9	when	when	SCONJ
cana-1053	152	10	p	p	PROPN
cana-1053	152	11	q=	q=	ADV
cana-1053	152	12	(	(	PUNCT
cana-1053	152	13	iii	iii	NOUN
cana-1053	152	14	)	)	PUNCT
cana-1053	152	15	(	(	PUNCT
cana-1053	152	16	)	)	PUNCT
cana-1053	152	17	(	(	PUNCT
cana-1053	152	18	:	:	PUNCT
cana-1053	152	19	)	)	PUNCT
cana-1053	152	20	:	:	PUNCT
cana-1053	152	21	i	i	PRON
cana-1053	153	1	p	p	X
cana-1053	153	2	q	q	X
cana-1053	154	1	i	i	PRON
cana-1053	154	2	p	p	NOUN
cana-1053	154	3	p−	p−	NOUN
cana-1053	154	4	should	should	AUX
cana-1053	154	5	exemplify	exemplify	VERB
cana-1053	154	6	some	some	DET
cana-1053	154	7	divergence	divergence	NOUN
cana-1053	154	8	measure	measure	NOUN
cana-1053	154	9	kerridge	kerridge	VERB
cana-1053	154	10	’s	’s	PART
cana-1053	154	11	[	[	X
cana-1053	154	12	14	14	NUM
cana-1053	154	13	]	]	SYM
cana-1053	154	14	measure	measure	NOUN
cana-1053	154	15	of	of	ADP
cana-1053	154	16	inaccuracy	inaccuracy	NOUN
cana-1053	154	17	(	(	PUNCT
cana-1053	154	18	1.8	1.8	NUM
cana-1053	154	19	)	)	PUNCT
cana-1053	154	20	can	can	AUX
cana-1053	154	21	be	be	AUX
cana-1053	154	22	viewed	view	VERB
cana-1053	154	23	as	as	ADP
cana-1053	154	24	a	a	DET
cana-1053	154	25	generalization	generalization	NOUN
cana-1053	154	26	of	of	ADP
cana-1053	154	27	the	the	DET
cana-1053	154	28	thought	thought	NOUN
cana-1053	154	29	of	of	ADP
cana-1053	154	30	entropy	entropy	PROPN
cana-1053	154	31	.	.	PUNCT
cana-1053	155	1	it	it	PRON
cana-1053	155	2	has	have	AUX
cana-1053	155	3	broadly	broadly	ADV
cana-1053	155	4	been	be	AUX
cana-1053	155	5	employed	employ	VERB
cana-1053	155	6	as	as	ADP
cana-1053	155	7	a	a	DET
cana-1053	155	8	practical	practical	ADJ
cana-1053	155	9	and	and	CCONJ
cana-1053	155	10	constructive	constructive	ADJ
cana-1053	155	11	instrument	instrument	NOUN
cana-1053	155	12	for	for	ADP
cana-1053	155	13	the	the	DET
cana-1053	155	14	measurement	measurement	NOUN
cana-1053	155	15	of	of	ADP
cana-1053	155	16	error	error	NOUN
cana-1053	155	17	in	in	ADP
cana-1053	155	18	experimental	experimental	ADJ
cana-1053	155	19	results	result	NOUN
cana-1053	155	20	and	and	CCONJ
cana-1053	155	21	accordingly	accordingly	ADV
cana-1053	155	22	discovers	discover	VERB
cana-1053	155	23	applications	application	NOUN
cana-1053	155	24	in	in	ADP
cana-1053	155	25	statistical	statistical	ADJ
cana-1053	155	26	inference	inference	NOUN
cana-1053	155	27	.	.	PUNCT
cana-1053	156	1	different	different	ADJ
cana-1053	156	2	authors	author	NOUN
cana-1053	156	3	have	have	AUX
cana-1053	156	4	anticipated	anticipate	VERB
cana-1053	156	5	innovative	innovative	ADJ
cana-1053	156	6	inaccuracy	inaccuracy	NOUN
cana-1053	156	7	models	model	NOUN
cana-1053	156	8	for	for	ADP
cana-1053	156	9	the	the	DET
cana-1053	156	10	reason	reason	NOUN
cana-1053	156	11	that	that	PRON
cana-1053	156	12	their	their	PRON
cana-1053	156	13	applicability	applicability	NOUN
cana-1053	156	14	in	in	ADP
cana-1053	156	15	statistics	statistic	NOUN
cana-1053	156	16	,	,	PUNCT
cana-1053	156	17	coding	code	VERB
cana-1053	156	18	theory	theory	NOUN
cana-1053	156	19	and	and	CCONJ
cana-1053	156	20	other	other	ADJ
cana-1053	156	21	associated	associated	ADJ
cana-1053	156	22	fields	field	NOUN
cana-1053	156	23	are	be	AUX
cana-1053	156	24	imminent	imminent	ADJ
cana-1053	156	25	.	.	PUNCT
cana-1053	157	1	some	some	PRON
cana-1053	157	2	of	of	ADP
cana-1053	157	3	these	these	DET
cana-1053	157	4	models	model	NOUN
cana-1053	157	5	are	be	AUX
cana-1053	157	6	:	:	PUNCT
cana-1053	157	7	1	1	NUM
cana-1053	157	8	1	1	NUM
cana-1053	157	9	1	1	NUM
cana-1053	157	10	1	1	NUM
cana-1053	157	11	(	(	PUNCT
cana-1053	157	12	:	:	PUNCT
cana-1053	157	13	)	)	PUNCT
cana-1053	157	14	log	log	VERB
cana-1053	157	15	,	,	PUNCT
cana-1053	157	16	1	1	NUM
cana-1053	157	17	,	,	PUNCT
cana-1053	157	18	0	0	NUM
cana-1053	157	19	1	1	NUM
cana-1053	158	1	n	n	NOUN
cana-1053	159	1	i	i	PRON
cana-1053	160	1	i	i	INTJ
cana-1053	160	2	i	i	VERB
cana-1053	161	1	r	r	VERB
cana-1053	161	2	n	n	NOUN
cana-1053	162	1	i	i	PRON
cana-1053	162	2	i	i	PRON
cana-1053	163	1	p	p	X
cana-1053	163	2	q	q	X
cana-1053	164	1	i	i	PRON
cana-1053	164	2	p	p	NOUN
cana-1053	164	3	q	q	X
cana-1053	164	4	p	p	X
cana-1053	164	5			X
cana-1053	164	6			X
cana-1053	164	7			X
cana-1053	164	8			X
cana-1053	164	9			X
cana-1053	164	10			X
cana-1053	164	11	−	−	NOUN
cana-1053	164	12	=	=	SYM
cana-1053	164	13	=	=	SYM
cana-1053	165	1	=	=	SYM
cana-1053	165	2			PROPN
cana-1053	165	3			INTJ
cana-1053	165	4	−	−	X
cana-1053	165	5			X
cana-1053	165	6			X
cana-1053	165	7	(	(	PUNCT
cana-1053	165	8	1.10	1.10	NUM
cana-1053	165	9	)	)	PUNCT
cana-1053	165	10	which	which	PRON
cana-1053	165	11	is	be	AUX
cana-1053	165	12	renyi	renyi	PROPN
cana-1053	165	13	’s	’s	PART
cana-1053	166	1	[	[	X
cana-1053	166	2	30	30	NUM
cana-1053	166	3	]	]	X
cana-1053	166	4	inaccuracy	inaccuracy	ADJ
cana-1053	166	5	model	model	NOUN
cana-1053	166	6	.	.	PUNCT
cana-1053	167	1	1	1	NUM
cana-1053	167	2	1	1	NUM
cana-1053	167	3	1	1	NUM
cana-1053	167	4	(	(	PUNCT
cana-1053	167	5	:	:	PUNCT
cana-1053	167	6	)	)	PUNCT
cana-1053	167	7	(	(	PUNCT
cana-1053	167	8	1	1	NUM
cana-1053	167	9	)	)	PUNCT
cana-1053	167	10	,	,	PUNCT
cana-1053	167	11	1	1	NUM
cana-1053	167	12	,	,	PUNCT
cana-1053	167	13	0	0	NUM
cana-1053	167	14	1	1	NUM
cana-1053	167	15	n	n	NUM
cana-1053	167	16	hc	hc	VERB
cana-1053	168	1	i	i	PRON
cana-1053	169	1	i	i	PRON
cana-1053	170	1	i	i	PRON
cana-1053	171	1	i	i	PRON
cana-1053	171	2	p	p	VERB
cana-1053	171	3	q	q	X
cana-1053	171	4	p	p	X
cana-1053	171	5	q	q	NOUN
cana-1053	171	6			X
cana-1053	171	7			X
cana-1053	171	8			X
cana-1053	171	9			X
cana-1053	171	10	−	−	NOUN
cana-1053	172	1	=	=	SYM
cana-1053	172	2	=	=	SYM
cana-1053	172	3	−	−	PROPN
cana-1053	172	4			INTJ
cana-1053	172	5			INTJ
cana-1053	172	6	−	−	X
cana-1053	172	7			X
cana-1053	172	8	(	(	PUNCT
cana-1053	172	9	1.11	1.11	NUM
cana-1053	172	10	)	)	PUNCT
cana-1053	172	11	which	which	PRON
cana-1053	172	12	is	be	AUX
cana-1053	172	13	havrda	havrda	NOUN
cana-1053	172	14	-	-	PUNCT
cana-1053	172	15	charvat	charvat	NOUN
cana-1053	172	16	’s	’s	PART
cana-1053	172	17	[	[	X
cana-1053	172	18	8	8	NUM
cana-1053	172	19	]	]	PUNCT
cana-1053	172	20	inaccuracy	inaccuracy	ADJ
cana-1053	172	21	model	model	NOUN
cana-1053	172	22	.	.	PUNCT
cana-1053	173	1	,	,	PUNCT
cana-1053	173	2	1	1	NUM
cana-1053	173	3	1	1	NUM
cana-1053	173	4	1	1	NUM
cana-1053	173	5	1	1	NUM
cana-1053	173	6	1	1	NUM
cana-1053	173	7	(	(	PUNCT
cana-1053	173	8	:	:	PUNCT
cana-1053	173	9	)	)	PUNCT
cana-1053	173	10	(	(	PUNCT
cana-1053	173	11	1	1	X
cana-1053	173	12	)	)	PUNCT
cana-1053	173	13	(	(	PUNCT
cana-1053	173	14	1	1	NUM
cana-1053	173	15	)	)	PUNCT
cana-1053	173	16	,	,	PUNCT
cana-1053	173	17	n	n	CCONJ
cana-1053	173	18	n	n	CCONJ
cana-1053	174	1	i	i	PRON
cana-1053	174	2	i	i	PRON
cana-1053	175	1	i	i	PRON
cana-1053	175	2	i	i	PRON
cana-1053	176	1	i	i	PRON
cana-1053	176	2	i	i	PRON
cana-1053	177	1	i	i	PRON
cana-1053	177	2	p	p	VERB
cana-1053	177	3	q	q	X
cana-1053	177	4	p	p	X
cana-1053	177	5	q	q	X
cana-1053	177	6	p	p	NOUN
cana-1053	177	7	q	q	NOUN
cana-1053	177	8			NOUN
cana-1053	177	9			NOUN
cana-1053	177	10			PRON
cana-1053	177	11			PROPN
cana-1053	177	12			PROPN
cana-1053	177	13			NUM
cana-1053	177	14			PROPN
cana-1053	177	15			NOUN
cana-1053	177	16			NOUN
cana-1053	177	17	−	−	NOUN
cana-1053	177	18	−	−	PROPN
cana-1053	178	1	=	=	SYM
cana-1053	178	2	=	=	SYM
cana-1053	178	3			PROPN
cana-1053	178	4			NOUN
cana-1053	178	5	=	=	PUNCT
cana-1053	178	6	−	−	PROPN
cana-1053	178	7	−	−	NOUN
cana-1053	178	8	−	−	PROPN
cana-1053	178	9			NOUN
cana-1053	178	10			NOUN
cana-1053	178	11	−	−	PROPN
cana-1053	178	12			PROPN
cana-1053	178	13			PROPN
cana-1053	178	14			X
cana-1053	178	15			X
cana-1053	178	16	(	(	PUNCT
cana-1053	178	17	1.12	1.12	NUM
cana-1053	178	18	)	)	PUNCT
cana-1053	178	19	which	which	PRON
cana-1053	178	20	represents	represent	VERB
cana-1053	178	21	sharma	sharma	PROPN
cana-1053	178	22	and	and	CCONJ
cana-1053	178	23	taneja	taneja	ADV
cana-1053	178	24	’s	’s	PART
cana-1053	178	25	[	[	X
cana-1053	178	26	34	34	NUM
cana-1053	178	27	]	]	PUNCT
cana-1053	178	28	inaccuracy	inaccuracy	ADJ
cana-1053	178	29	model	model	NOUN
cana-1053	178	30	.	.	PUNCT
cana-1053	179	1	furthermore	furthermore	ADV
cana-1053	179	2	,	,	PUNCT
cana-1053	179	3	the	the	DET
cana-1053	179	4	subsequent	subsequent	ADJ
cana-1053	179	5	well	well	ADV
cana-1053	179	6	known	know	VERB
cana-1053	179	7	practically	practically	ADV
cana-1053	179	8	functional	functional	ADJ
cana-1053	179	9	inaccuracy	inaccuracy	NOUN
cana-1053	179	10	models	model	NOUN
cana-1053	179	11	have	have	AUX
cana-1053	179	12	been	be	AUX
cana-1053	179	13	developed	develop	VERB
cana-1053	179	14	by	by	ADP
cana-1053	179	15	kapur	kapur	PROPN
cana-1053	179	16	[	[	X
cana-1053	179	17	12	12	NUM
cana-1053	179	18	]	]	X
cana-1053	179	19	:	:	PUNCT
cana-1053	179	20	1	1	NUM
cana-1053	179	21	1	1	NUM
cana-1053	179	22	1	1	NUM
cana-1053	179	23	1	1	NUM
cana-1053	179	24	1	1	NUM
cana-1053	179	25	1	1	NUM
cana-1053	179	26	1	1	NUM
cana-1053	179	27	1	1	NUM
cana-1053	179	28	(	(	PUNCT
cana-1053	179	29	:	:	PUNCT
cana-1053	179	30	)	)	PUNCT
cana-1053	179	31	log	log	VERB
cana-1053	179	32	.	.	PUNCT
cana-1053	180	1	,	,	PUNCT
cana-1053	180	2	1	1	X
cana-1053	180	3	,	,	PUNCT
cana-1053	180	4	1	1	NUM
cana-1053	180	5	n	n	CCONJ
cana-1053	180	6	n	n	NOUN
cana-1053	181	1	i	i	PRON
cana-1053	181	2	i	i	PRON
cana-1053	182	1	i	i	PRON
cana-1053	182	2	i	i	PRON
cana-1053	183	1	i	i	VERB
cana-1053	183	2	k	k	VERB
cana-1053	184	1	n	n	CCONJ
cana-1053	185	1	n	n	ADV
cana-1053	186	1	i	i	PRON
cana-1053	187	1	i	i	PRON
cana-1053	188	1	i	i	PRON
cana-1053	189	1	i	i	PRON
cana-1053	190	1	i	i	PRON
cana-1053	190	2	p	p	VERB
cana-1053	190	3	q	q	X
cana-1053	191	1	p	p	X
cana-1053	191	2	i	i	PRON
cana-1053	191	3	p	p	NOUN
cana-1053	191	4	q	q	X
cana-1053	191	5	p	p	X
cana-1053	191	6	p	p	X
cana-1053	191	7	q	q	NOUN
cana-1053	191	8			PROPN
cana-1053	191	9			PROPN
cana-1053	191	10			NOUN
cana-1053	191	11			NOUN
cana-1053	191	12			NOUN
cana-1053	191	13			X
cana-1053	191	14			NUM
cana-1053	191	15			PROPN
cana-1053	191	16			PROPN
cana-1053	191	17			NOUN
cana-1053	191	18	−	−	NOUN
cana-1053	191	19	=	=	SYM
cana-1053	191	20	=	=	PUNCT
cana-1053	192	1	−	−	PROPN
cana-1053	192	2	=	=	SYM
cana-1053	193	1	=	=	NOUN
cana-1053	193	2			NOUN
cana-1053	193	3			PROPN
cana-1053	194	1			PROPN
cana-1053	195	1			PROPN
cana-1053	196	1			PROPN
cana-1053	197	1	=	=	PROPN
cana-1053	197	2			PROPN
cana-1053	197	3			NUM
cana-1053	198	1			PROPN
cana-1053	198	2	−	−	INTJ
cana-1053	199	1			PROPN
cana-1053	200	1			INTJ
cana-1053	201	1			PROPN
cana-1053	201	2			PROPN
cana-1053	202	1			PROPN
cana-1053	202	2			PROPN
cana-1053	202	3			X
cana-1053	202	4			X
cana-1053	202	5			X
cana-1053	202	6			X
cana-1053	202	7	or	or	CCONJ
cana-1053	202	8	1	1	NUM
cana-1053	202	9	,	,	PUNCT
cana-1053	202	10	1	1	PROPN
cana-1053	202	11			PRON
cana-1053	202	12			NOUN
cana-1053	202	13	(	(	PUNCT
cana-1053	202	14	1.13	1.13	NUM
cana-1053	202	15	)	)	PUNCT
cana-1053	202	16	2	2	NUM
cana-1053	202	17	1	1	NUM
cana-1053	202	18	1	1	NUM
cana-1053	202	19	1	1	NUM
cana-1053	202	20	1	1	NUM
cana-1053	202	21	1	1	NUM
cana-1053	202	22	/1	/1	NOUN
cana-1053	202	23	(	(	PUNCT
cana-1053	202	24	:	:	PUNCT
cana-1053	202	25	)	)	PUNCT
cana-1053	202	26	ln	ln	X
cana-1053	202	27	(	(	PUNCT
cana-1053	202	28	)	)	PUNCT
cana-1053	202	29	ln	ln	ADV
cana-1053	202	30	log	log	NOUN
cana-1053	202	31	1	1	NUM
cana-1053	202	32	1	1	NUM
cana-1053	202	33	1	1	NUM
cana-1053	202	34	(	(	PUNCT
cana-1053	202	35	1	1	NUM
cana-1053	202	36	)	)	PUNCT
cana-1053	203	1	ln	ln	NOUN
cana-1053	204	1	(	(	PUNCT
cana-1053	204	2	1	1	NUM
cana-1053	204	3	)	)	PUNCT
cana-1053	204	4	(	(	PUNCT
cana-1053	204	5	1	1	X
cana-1053	204	6	)	)	PUNCT
cana-1053	204	7	log	log	NOUN
cana-1053	204	8	(	(	PUNCT
cana-1053	204	9	1	1	NUM
cana-1053	204	10	)	)	PUNCT
cana-1053	204	11	n	n	CCONJ
cana-1053	204	12	n	n	CCONJ
cana-1053	204	13	n	n	NOUN
cana-1053	205	1	i	i	PRON
cana-1053	206	1	i	i	PRON
cana-1053	207	1	i	i	PRON
cana-1053	207	2	k	k	VERB
cana-1053	208	1	i	i	PRON
cana-1053	208	2	i	i	PRON
cana-1053	209	1	i	i	PRON
cana-1053	209	2	i	i	PRON
cana-1053	210	1	i	i	PRON
cana-1053	210	2	i	i	PRON
cana-1053	211	1	i	i	PRON
cana-1053	211	2	ii	ii	VERB
cana-1053	212	1	n	n	ADV
cana-1053	212	2	i	i	PRON
cana-1053	213	1	i	i	PRON
cana-1053	214	1	i	i	PRON
cana-1053	214	2	p	p	X
cana-1053	215	1	ap	ap	INTJ
cana-1053	215	2	q	q	NOUN
cana-1053	216	1	i	i	PRON
cana-1053	216	2	p	p	NOUN
cana-1053	216	3	q	q	X
cana-1053	216	4	p	p	X
cana-1053	216	5	q	q	X
cana-1053	217	1	ap	ap	PROPN
cana-1053	218	1	p	p	PROPN
cana-1053	218	2	p	p	X
cana-1053	218	3	q	q	PROPN
cana-1053	218	4	a	a	DET
cana-1053	218	5	a	a	DET
cana-1053	218	6	ap	ap	PROPN
cana-1053	218	7	ap	ap	PROPN
cana-1053	219	1	a	a	DET
cana-1053	219	2	a	a	DET
cana-1053	219	3	a	a	DET
cana-1053	219	4	a	a	PRON
cana-1053	219	5	=	=	SYM
cana-1053	219	6	=	=	SYM
cana-1053	219	7	=	=	PUNCT
cana-1053	219	8	=	=	PUNCT
cana-1053	220	1	+	+	NUM
cana-1053	220	2	=	=	SYM
cana-1053	220	3	−	−	PROPN
cana-1053	221	1	+	+	CCONJ
cana-1053	221	2	−	−	PROPN
cana-1053	222	1	+	+	CCONJ
cana-1053	222	2	+	+	PUNCT
cana-1053	222	3	+	+	PUNCT
cana-1053	223	1	+	+	CCONJ
cana-1053	223	2	−	−	X
cana-1053	224	1	+	+	CCONJ
cana-1053	224	2	+	+	X
cana-1053	224	3			X
cana-1053	224	4			X
cana-1053	224	5			X
cana-1053	224	6			X
cana-1053	224	7	(	(	PUNCT
cana-1053	224	8	1.14	1.14	NUM
cana-1053	224	9	)	)	PUNCT
cana-1053	224	10	communications	communication	NOUN
cana-1053	224	11	on	on	ADP
cana-1053	224	12	applied	apply	VERB
cana-1053	224	13	nonlinear	nonlinear	ADJ
cana-1053	224	14	analysis	analysis	NOUN
cana-1053	224	15	issn	issn	NOUN
cana-1053	224	16	:	:	PUNCT
cana-1053	224	17	1074	1074	NUM
cana-1053	224	18	-	-	PUNCT
cana-1053	224	19	133x	133x	NUM
cana-1053	224	20	vol	vol	NOUN
cana-1053	224	21	31	31	NUM
cana-1053	224	22	no	no	NOUN
cana-1053	224	23	.	.	PUNCT
cana-1053	225	1	5s	5s	NUM
cana-1053	225	2	(	(	PUNCT
cana-1053	225	3	2024	2024	NUM
cana-1053	225	4	)	)	PUNCT
cana-1053	225	5	330	330	NUM
cana-1053	225	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	225	7	sathar	sathar	PROPN
cana-1053	225	8	et	et	PROPN
cana-1053	225	9	al	al	PROPN
cana-1053	225	10	.	.	PUNCT
cana-1053	226	1	[	[	X
cana-1053	226	2	32	32	NUM
cana-1053	226	3	]	]	PUNCT
cana-1053	226	4	made	make	VERB
cana-1053	226	5	investigations	investigation	NOUN
cana-1053	226	6	about	about	ADP
cana-1053	226	7	the	the	DET
cana-1053	226	8	past	past	ADJ
cana-1053	226	9	inaccuracy	inaccuracy	ADJ
cana-1053	226	10	model	model	NOUN
cana-1053	226	11	and	and	CCONJ
cana-1053	226	12	consequently	consequently	ADV
cana-1053	226	13	recommended	recommend	VERB
cana-1053	226	14	nonparametric	nonparametric	ADJ
cana-1053	226	15	estimators	estimator	NOUN
cana-1053	226	16	for	for	ADP
cana-1053	226	17	these	these	DET
cana-1053	226	18	models	model	NOUN
cana-1053	226	19	.	.	PUNCT
cana-1053	227	1	the	the	DET
cana-1053	227	2	authors	author	NOUN
cana-1053	227	3	made	make	VERB
cana-1053	227	4	rigorous	rigorous	ADJ
cana-1053	227	5	study	study	NOUN
cana-1053	227	6	of	of	ADP
cana-1053	227	7	the	the	DET
cana-1053	227	8	asymptotic	asymptotic	ADJ
cana-1053	227	9	properties	property	NOUN
cana-1053	227	10	of	of	ADP
cana-1053	227	11	these	these	DET
cana-1053	227	12	estimators	estimator	NOUN
cana-1053	227	13	under	under	ADP
cana-1053	227	14	convinced	convinced	ADJ
cana-1053	227	15	appropriate	appropriate	ADJ
cana-1053	227	16	and	and	CCONJ
cana-1053	227	17	reliability	reliability	NOUN
cana-1053	227	18	conditions	condition	NOUN
cana-1053	227	19	.	.	PUNCT
cana-1053	228	1	additionally	additionally	ADV
cana-1053	228	2	,	,	PUNCT
cana-1053	228	3	the	the	DET
cana-1053	228	4	authors	author	NOUN
cana-1053	228	5	made	make	VERB
cana-1053	228	6	comparisons	comparison	NOUN
cana-1053	228	7	for	for	ADP
cana-1053	228	8	the	the	DET
cana-1053	228	9	performance	performance	NOUN
cana-1053	228	10	of	of	ADP
cana-1053	228	11	the	the	DET
cana-1053	228	12	projected	project	VERB
cana-1053	228	13	estimators	estimator	NOUN
cana-1053	228	14	by	by	ADP
cana-1053	228	15	employing	employ	VERB
cana-1053	228	16	monte	monte	PROPN
cana-1053	228	17	-	-	PUNCT
cana-1053	228	18	carlo	carlo	PROPN
cana-1053	228	19	simulation	simulation	NOUN
cana-1053	228	20	technique	technique	NOUN
cana-1053	228	21	.	.	PUNCT
cana-1053	229	1	different	different	ADJ
cana-1053	229	2	instigators	instigator	NOUN
cana-1053	229	3	anticipated	anticipate	VERB
cana-1053	229	4	new	new	ADJ
cana-1053	229	5	-	-	PUNCT
cana-1053	229	6	fangled	fangled	ADJ
cana-1053	229	7	inaccuracy	inaccuracy	NOUN
cana-1053	229	8	models	model	NOUN
cana-1053	229	9	for	for	ADP
cana-1053	229	10	the	the	DET
cana-1053	229	11	reasons	reason	NOUN
cana-1053	229	12	that	that	PRON
cana-1053	229	13	of	of	ADP
cana-1053	229	14	their	their	PRON
cana-1053	229	15	applicability	applicability	NOUN
cana-1053	229	16	in	in	ADP
cana-1053	229	17	statistics	statistic	NOUN
cana-1053	229	18	,	,	PUNCT
cana-1053	229	19	coding	code	VERB
cana-1053	229	20	theory	theory	NOUN
cana-1053	229	21	and	and	CCONJ
cana-1053	229	22	supplementary	supplementary	ADJ
cana-1053	229	23	associated	associated	ADJ
cana-1053	229	24	fields	field	NOUN
cana-1053	229	25	.	.	PUNCT
cana-1053	230	1	some	some	DET
cana-1053	230	2	pioneers	pioneer	NOUN
cana-1053	230	3	who	who	PRON
cana-1053	230	4	have	have	AUX
cana-1053	230	5	made	make	VERB
cana-1053	230	6	efforts	effort	NOUN
cana-1053	230	7	for	for	ADP
cana-1053	230	8	the	the	DET
cana-1053	230	9	characterizations	characterization	NOUN
cana-1053	230	10	and	and	CCONJ
cana-1053	230	11	applications	application	NOUN
cana-1053	230	12	of	of	ADP
cana-1053	230	13	inaccuracy	inaccuracy	NOUN
cana-1053	230	14	models	model	NOUN
cana-1053	230	15	are	be	AUX
cana-1053	230	16	parkash	parkash	NOUN
cana-1053	230	17	and	and	CCONJ
cana-1053	230	18	taneja	taneja	NOUN
cana-1053	231	1	[	[	X
cana-1053	231	2	29	29	NUM
cana-1053	231	3	]	]	PUNCT
cana-1053	231	4	,	,	PUNCT
cana-1053	231	5	kapur	kapur	PROPN
cana-1053	232	1	[	[	X
cana-1053	232	2	13	13	NUM
cana-1053	232	3	]	]	PUNCT
cana-1053	232	4	,	,	PUNCT
cana-1053	232	5	molloy	molloy	PROPN
cana-1053	232	6	and	and	CCONJ
cana-1053	232	7	ford	ford	PROPN
cana-1053	233	1	[	[	X
cana-1053	233	2	18	18	NUM
cana-1053	233	3	]	]	PUNCT
cana-1053	233	4	,	,	PUNCT
cana-1053	233	5	thapliyal	thapliyal	NOUN
cana-1053	233	6	and	and	CCONJ
cana-1053	233	7	taneja	taneja	NOUN
cana-1053	233	8	[	[	X
cana-1053	233	9	38	38	NUM
cana-1053	233	10	]	]	PUNCT
cana-1053	233	11	,	,	PUNCT
cana-1053	233	12	eskandarzadeh	eskandarzadeh	NOUN
cana-1053	233	13	et	et	PROPN
cana-1053	233	14	al	al	PROPN
cana-1053	233	15	.	.	PUNCT
cana-1053	234	1	[	[	X
cana-1053	234	2	6	6	NUM
cana-1053	234	3	]	]	PUNCT
cana-1053	234	4	,	,	PUNCT
cana-1053	234	5	da	da	PROPN
cana-1053	234	6	costa	costa	PROPN
cana-1053	234	7	bueno	bueno	PROPN
cana-1053	234	8	and	and	CCONJ
cana-1053	234	9	balakrishnan	balakrishnan	PROPN
cana-1053	235	1	[	[	X
cana-1053	235	2	4	4	NUM
cana-1053	235	3	]	]	PUNCT
cana-1053	235	4	etc	etc	X
cana-1053	235	5	.	.	X
cana-1053	236	1	2	2	X
cana-1053	236	2	.	.	X
cana-1053	236	3	development	development	NOUN
cana-1053	236	4	of	of	ADP
cana-1053	236	5	inequalities	inequality	NOUN
cana-1053	236	6	via	via	ADP
cana-1053	236	7	discrete	discrete	ADJ
cana-1053	236	8	entropy	entropy	NOUN
cana-1053	236	9	and	and	CCONJ
cana-1053	236	10	inaccuracy	inaccuracy	NOUN
cana-1053	236	11	models	model	NOUN
cana-1053	236	12	in	in	ADP
cana-1053	236	13	this	this	DET
cana-1053	236	14	segment	segment	NOUN
cana-1053	236	15	,	,	PUNCT
cana-1053	236	16	we	we	PRON
cana-1053	236	17	prerequisite	prerequisite	VERB
cana-1053	236	18	some	some	DET
cana-1053	236	19	knowledge	knowledge	NOUN
cana-1053	236	20	about	about	ADP
cana-1053	236	21	real	real	ADV
cana-1053	236	22	-	-	PUNCT
cana-1053	236	23	valued	value	VERB
cana-1053	236	24	concave	concave	NOUN
cana-1053	236	25	functions	function	NOUN
cana-1053	236	26	demarcated	demarcate	VERB
cana-1053	236	27	on	on	ADP
cana-1053	236	28	numerous	numerous	ADJ
cana-1053	236	29	intervals	interval	NOUN
cana-1053	236	30	in	in	ADP
cana-1053	236	31	r	r	NOUN
cana-1053	236	32	.	.	PUNCT
cana-1053	237	1	definition	definition	NOUN
cana-1053	237	2	2.1	2.1	NUM
cana-1053	237	3	.	.	PUNCT
cana-1053	238	1	a	a	DET
cana-1053	238	2	function	function	NOUN
cana-1053	238	3	:]	:]	PUNCT
cana-1053	238	4	,	,	PUNCT
cana-1053	238	5	[	[	X
cana-1053	238	6	a	a	DET
cana-1053	238	7	b	b	PROPN
cana-1053	238	8	r	r	NUM
cana-1053	238	9	→	→	PUNCT
cana-1053	238	10	,	,	PUNCT
cana-1053	238	11	is	be	AUX
cana-1053	238	12	supposed	suppose	VERB
cana-1053	238	13	to	to	PART
cana-1053	238	14	be	be	AUX
cana-1053	238	15	a	a	DET
cana-1053	238	16	twice	twice	ADV
cana-1053	238	17	differentiable	differentiable	ADJ
cana-1053	238	18	concave	concave	NOUN
cana-1053	238	19	function	function	NOUN
cana-1053	238	20	if	if	SCONJ
cana-1053	238	21	it	it	PRON
cana-1053	238	22	is	be	AUX
cana-1053	238	23	twice	twice	ADV
cana-1053	238	24	differentiable	differentiable	ADJ
cana-1053	238	25	in	in	ADP
cana-1053	238	26	]	]	PUNCT
cana-1053	238	27	,	,	PUNCT
cana-1053	238	28	[	[	X
cana-1053	238	29	a	a	DET
cana-1053	238	30	b	b	NOUN
cana-1053	238	31	and	and	CCONJ
cana-1053	238	32	(	(	PUNCT
cana-1053	238	33	)	)	PUNCT
cana-1053	238	34	0x	0x	VERB
cana-1053	238	35			NOUN
cana-1053	238	36	for	for	ADP
cana-1053	238	37	all	all	PRON
cana-1053	238	38	]	]	PUNCT
cana-1053	238	39	,	,	PUNCT
cana-1053	239	1	[	[	X
cana-1053	239	2	x	x	X
cana-1053	239	3	a	a	DET
cana-1053	239	4	b	b	NOUN
cana-1053	239	5	.	.	PUNCT
cana-1053	240	1	(	(	PUNCT
cana-1053	240	2	2.1	2.1	NUM
cana-1053	240	3	)	)	PUNCT
cana-1053	240	4	lemma	lemma	PROPN
cana-1053	240	5	2.2	2.2	NUM
cana-1053	240	6	.	.	PUNCT
cana-1053	241	1	if	if	SCONJ
cana-1053	241	2	a	a	DET
cana-1053	241	3	function	function	NOUN
cana-1053	241	4	:]	:]	PUNCT
cana-1053	241	5	,	,	PUNCT
cana-1053	241	6	[	[	X
cana-1053	241	7	a	a	DET
cana-1053	241	8	b	b	NOUN
cana-1053	241	9	r	r	NUM
cana-1053	241	10	→	→	PUNCT
cana-1053	241	11	is	be	AUX
cana-1053	241	12	twice	twice	ADV
cana-1053	241	13	differentiable	differentiable	ADJ
cana-1053	241	14	in	in	ADP
cana-1053	241	15	]	]	PUNCT
cana-1053	241	16	,	,	PUNCT
cana-1053	241	17	[	[	X
cana-1053	241	18	a	a	DET
cana-1053	241	19	b	b	NOUN
cana-1053	241	20	and	and	CCONJ
cana-1053	241	21	(	(	PUNCT
cana-1053	241	22	)	)	PUNCT
cana-1053	241	23	0x	0x	VERB
cana-1053	241	24			NOUN
cana-1053	241	25	for	for	ADP
cana-1053	241	26	all	all	PRON
cana-1053	241	27	]	]	PUNCT
cana-1053	241	28	,	,	PUNCT
cana-1053	242	1	[	[	X
cana-1053	242	2	x	x	X
cana-1053	242	3	a	a	DET
cana-1053	242	4	b	b	NOUN
cana-1053	242	5	,	,	PUNCT
cana-1053	242	6	then	then	ADV
cana-1053	242	7	the	the	DET
cana-1053	242	8	subsequent	subsequent	ADJ
cana-1053	242	9	inequality	inequality	NOUN
cana-1053	242	10	holds	hold	VERB
cana-1053	242	11	:	:	PUNCT
cana-1053	242	12	1	1	NUM
cana-1053	242	13	1	1	NUM
cana-1053	242	14	(	(	PUNCT
cana-1053	242	15	)	)	PUNCT
cana-1053	242	16	n	n	CCONJ
cana-1053	242	17	n	n	ADV
cana-1053	243	1	i	i	PRON
cana-1053	244	1	i	i	PRON
cana-1053	245	1	i	i	PRON
cana-1053	246	1	i	i	PRON
cana-1053	247	1	i	i	PRON
cana-1053	248	1	i	i	PRON
cana-1053	248	2	t	t	PROPN
cana-1053	248	3	t	t	NUM
cana-1053	248	4			X
cana-1053	248	5			NOUN
cana-1053	248	6	=	=	PUNCT
cana-1053	249	1	=	=	PUNCT
cana-1053	249	2			NOUN
cana-1053	249	3			PROPN
cana-1053	249	4			VERB
cana-1053	249	5			PROPN
cana-1053	249	6			PROPN
cana-1053	249	7			NOUN
cana-1053	249	8			X
cana-1053	249	9			X
cana-1053	249	10	for	for	ADP
cana-1053	249	11	all	all	PRON
cana-1053	249	12	]	]	PUNCT
cana-1053	249	13	,	,	PUNCT
cana-1053	250	1	[	[	X
cana-1053	250	2	it	it	PRON
cana-1053	250	3	a	a	DET
cana-1053	250	4	b	b	NOUN
cana-1053	250	5	,	,	PUNCT
cana-1053	250	6	and	and	CCONJ
cana-1053	250	7	all	all	DET
cana-1053	250	8	1	1	NUM
cana-1053	250	9	2	2	NUM
cana-1053	250	10	(	(	PUNCT
cana-1053	250	11	,	,	PUNCT
cana-1053	250	12	,	,	PUNCT
cana-1053	250	13	...	...	PUNCT
cana-1053	250	14	,	,	PUNCT
cana-1053	250	15	)	)	PUNCT
cana-1053	250	16	n	n	PROPN
cana-1053	250	17	n	n	PROPN
cana-1053	250	18			ADJ
cana-1053	250	19			ADJ
cana-1053	250	20			NOUN
cana-1053	250	21	,	,	PUNCT
cana-1053	250	22	2,3,	2,3,	NUM
cana-1053	250	23	...	...	PUNCT
cana-1053	250	24	n	n	NOUN
cana-1053	250	25	=	=	X
cana-1053	250	26	.	.	PUNCT
cana-1053	251	1	(	(	PUNCT
cana-1053	251	2	2.2	2.2	NUM
cana-1053	251	3	)	)	PUNCT
cana-1053	251	4	definition	definition	NOUN
cana-1053	251	5	2.3	2.3	NUM
cana-1053	251	6	.	.	PUNCT
cana-1053	252	1	a	a	DET
cana-1053	252	2	function	function	NOUN
cana-1053	252	3	:]	:]	PUNCT
cana-1053	252	4	,	,	PUNCT
cana-1053	252	5	[	[	X
cana-1053	252	6	a	a	DET
cana-1053	252	7	b	b	PROPN
cana-1053	252	8	r	r	NUM
cana-1053	252	9	→	→	PUNCT
cana-1053	252	10	,	,	PUNCT
cana-1053	252	11	is	be	AUX
cana-1053	252	12	supposed	suppose	VERB
cana-1053	252	13	to	to	PART
cana-1053	252	14	be	be	AUX
cana-1053	252	15	a	a	DET
cana-1053	252	16	twice	twice	ADV
cana-1053	252	17	differentiable	differentiable	ADJ
cana-1053	252	18	strictly	strictly	ADV
cana-1053	252	19	concave	concave	VERB
cana-1053	252	20	function	function	NOUN
cana-1053	252	21	if	if	SCONJ
cana-1053	252	22	it	it	PRON
cana-1053	252	23	is	be	AUX
cana-1053	252	24	twice	twice	ADV
cana-1053	252	25	differentiable	differentiable	ADJ
cana-1053	252	26	in	in	ADP
cana-1053	252	27	]	]	PUNCT
cana-1053	252	28	,	,	PUNCT
cana-1053	252	29	[	[	X
cana-1053	252	30	a	a	DET
cana-1053	252	31	b	b	NOUN
cana-1053	252	32	and	and	CCONJ
cana-1053	252	33	(	(	PUNCT
cana-1053	252	34	)	)	PUNCT
cana-1053	252	35	0x	0x	PROPN
cana-1053	252	36			PROPN
cana-1053	252	37	for	for	ADP
cana-1053	252	38	all	all	PRON
cana-1053	252	39	]	]	PUNCT
cana-1053	252	40	,	,	PUNCT
cana-1053	253	1	[	[	X
cana-1053	253	2	x	x	X
cana-1053	253	3	a	a	DET
cana-1053	253	4	b	b	NOUN
cana-1053	253	5	.	.	PUNCT
cana-1053	254	1	(	(	PUNCT
cana-1053	254	2	2.3	2.3	NUM
cana-1053	254	3	)	)	PUNCT
cana-1053	254	4	lemma	lemma	PROPN
cana-1053	254	5	2.4	2.4	NUM
cana-1053	254	6	.	.	PUNCT
cana-1053	255	1	if	if	SCONJ
cana-1053	255	2	a	a	DET
cana-1053	255	3	function	function	NOUN
cana-1053	255	4	:]	:]	PUNCT
cana-1053	255	5	,	,	PUNCT
cana-1053	255	6	[	[	X
cana-1053	255	7	a	a	DET
cana-1053	255	8	b	b	NOUN
cana-1053	255	9	r	r	NUM
cana-1053	255	10	→	→	PUNCT
cana-1053	255	11	is	be	AUX
cana-1053	255	12	twice	twice	ADV
cana-1053	255	13	differentiable	differentiable	ADJ
cana-1053	255	14	in	in	ADP
cana-1053	255	15	]	]	PUNCT
cana-1053	255	16	,	,	PUNCT
cana-1053	255	17	[	[	X
cana-1053	255	18	a	a	DET
cana-1053	255	19	b	b	NOUN
cana-1053	255	20	and	and	CCONJ
cana-1053	255	21	(	(	PUNCT
cana-1053	255	22	)	)	PUNCT
cana-1053	255	23	0x	0x	PROPN
cana-1053	255	24			PROPN
cana-1053	255	25	for	for	ADP
cana-1053	255	26	all	all	PRON
cana-1053	255	27	]	]	PUNCT
cana-1053	255	28	,	,	PUNCT
cana-1053	256	1	[	[	X
cana-1053	256	2	x	x	X
cana-1053	256	3	a	a	DET
cana-1053	256	4	b	b	NOUN
cana-1053	256	5	,	,	PUNCT
cana-1053	256	6	then	then	ADV
cana-1053	256	7	for	for	ADP
cana-1053	256	8	all	all	PRON
cana-1053	256	9	]	]	PUNCT
cana-1053	256	10	,	,	PUNCT
cana-1053	257	1	[	[	X
cana-1053	257	2	it	it	PRON
cana-1053	257	3	a	a	DET
cana-1053	257	4	b	b	NOUN
cana-1053	257	5	,	,	PUNCT
cana-1053	257	6	and	and	CCONJ
cana-1053	257	7	all	all	DET
cana-1053	257	8	1	1	NUM
cana-1053	257	9	2	2	NUM
cana-1053	257	10	(	(	PUNCT
cana-1053	257	11	,	,	PUNCT
cana-1053	257	12	,	,	PUNCT
cana-1053	257	13	...	...	PUNCT
cana-1053	257	14	,	,	PUNCT
cana-1053	257	15	)	)	PUNCT
cana-1053	257	16	n	n	PROPN
cana-1053	257	17	n	n	PROPN
cana-1053	257	18			VERB
cana-1053	257	19			ADJ
cana-1053	257	20			NOUN
cana-1053	257	21	,	,	PUNCT
cana-1053	257	22	the	the	DET
cana-1053	257	23	succeeding	succeed	VERB
cana-1053	257	24	inequality	inequality	NOUN
cana-1053	257	25	holds	hold	VERB
cana-1053	257	26	:	:	PUNCT
cana-1053	257	27	1	1	NUM
cana-1053	257	28	1	1	NUM
cana-1053	257	29	(	(	PUNCT
cana-1053	257	30	)	)	PUNCT
cana-1053	257	31	n	n	CCONJ
cana-1053	257	32	n	n	ADV
cana-1053	258	1	i	i	PRON
cana-1053	259	1	i	i	PRON
cana-1053	260	1	i	i	PRON
cana-1053	261	1	i	i	PRON
cana-1053	262	1	i	i	PRON
cana-1053	263	1	i	i	PRON
cana-1053	263	2	t	t	PROPN
cana-1053	263	3	t	t	NUM
cana-1053	263	4			X
cana-1053	263	5			NOUN
cana-1053	263	6	=	=	PUNCT
cana-1053	264	1	=	=	PUNCT
cana-1053	264	2			NOUN
cana-1053	264	3			PROPN
cana-1053	264	4			X
cana-1053	264	5			PROPN
cana-1053	264	6			PROPN
cana-1053	264	7			NOUN
cana-1053	264	8			X
cana-1053	264	9			X
cana-1053	264	10	unless	unless	SCONJ
cana-1053	264	11	1	1	NUM
cana-1053	264	12	2	2	NUM
cana-1053	264	13	...	...	PUNCT
cana-1053	264	14	nt	not	PART
cana-1053	264	15	t	t	NOUN
cana-1053	264	16	t=	t=	NOUN
cana-1053	264	17	=	=	PUNCT
cana-1053	265	1	=	=	PUNCT
cana-1053	265	2	.	.	PUNCT
cana-1053	266	1	(	(	PUNCT
cana-1053	266	2	2.4	2.4	NUM
cana-1053	266	3	)	)	PUNCT
cana-1053	266	4	lemma	lemma	PROPN
cana-1053	266	5	2.5	2.5	NUM
cana-1053	266	6	.	.	PUNCT
cana-1053	267	1	if	if	SCONJ
cana-1053	267	2	a	a	DET
cana-1053	267	3	real	real	ADV
cana-1053	267	4	-	-	PUNCT
cana-1053	267	5	valued	value	VERB
cana-1053	267	6	function	function	NOUN
cana-1053	267	7			PROPN
cana-1053	267	8	is	be	AUX
cana-1053	267	9	demarcated	demarcate	VERB
cana-1053	267	10	on	on	ADP
cana-1053	267	11	[	[	PUNCT
cana-1053	267	12	,	,	PUNCT
cana-1053	267	13	]	]	X
cana-1053	267	14	a	a	DET
cana-1053	267	15	b	b	NOUN
cana-1053	267	16	,	,	PUNCT
cana-1053	267	17	a	a	DET
cana-1053	267	18	r	r	NOUN
cana-1053	267	19	,	,	PUNCT
cana-1053	267	20	b	b	PROPN
cana-1053	267	21	r	r	PROPN
cana-1053	267	22	,	,	PUNCT
cana-1053	267	23	a	a	DET
cana-1053	267	24	b	b	NOUN
cana-1053	267	25	;	;	PUNCT
cana-1053	267	26	and	and	CCONJ
cana-1053	267	27	is	be	AUX
cana-1053	267	28	(	(	PUNCT
cana-1053	267	29	i	i	NOUN
cana-1053	267	30	)	)	PUNCT
cana-1053	267	31	twice	twice	ADV
cana-1053	267	32	differentiable	differentiable	ADJ
cana-1053	267	33	in	in	ADP
cana-1053	267	34	]	]	PUNCT
cana-1053	267	35	,	,	PUNCT
cana-1053	267	36	[	[	X
cana-1053	267	37	a	a	PRON
cana-1053	267	38	b	b	PROPN
cana-1053	267	39	(	(	PUNCT
cana-1053	267	40	ii	ii	NOUN
cana-1053	267	41	)	)	PUNCT
cana-1053	267	42	(	(	PUNCT
cana-1053	267	43	)	)	PUNCT
cana-1053	267	44	0x	0x	VERB
cana-1053	267	45			NOUN
cana-1053	267	46	for	for	ADP
cana-1053	267	47	all	all	PRON
cana-1053	267	48	]	]	PUNCT
cana-1053	267	49	,	,	PUNCT
cana-1053	268	1	[	[	X
cana-1053	268	2	x	x	X
cana-1053	268	3	a	a	DET
cana-1053	268	4	b	b	PROPN
cana-1053	268	5	(	(	PUNCT
cana-1053	268	6	iii	iii	NOUN
cana-1053	268	7	)	)	PUNCT
cana-1053	268	8	continuous	continuous	ADJ
cana-1053	268	9	from	from	ADP
cana-1053	268	10	the	the	DET
cana-1053	268	11	right	right	NOUN
cana-1053	268	12	at	at	ADP
cana-1053	268	13	a	a	PRON
cana-1053	268	14	and	and	CCONJ
cana-1053	268	15	from	from	ADP
cana-1053	268	16	the	the	DET
cana-1053	268	17	left	left	NOUN
cana-1053	268	18	at	at	ADP
cana-1053	268	19	b	b	NOUN
cana-1053	268	20	;	;	PUNCT
cana-1053	268	21	then	then	ADV
cana-1053	268	22	(	(	PUNCT
cana-1053	268	23	2.2	2.2	NUM
cana-1053	268	24	)	)	PUNCT
cana-1053	268	25	holds	hold	VERB
cana-1053	268	26	for	for	ADP
cana-1053	268	27	all	all	PRON
cana-1053	268	28	[	[	PUNCT
cana-1053	268	29	,	,	PUNCT
cana-1053	268	30	]	]	PUNCT
cana-1053	268	31	it	it	PRON
cana-1053	268	32	a	a	DET
cana-1053	268	33	b	b	NOUN
cana-1053	268	34	,	,	PUNCT
cana-1053	268	35	and	and	CCONJ
cana-1053	268	36	all	all	DET
cana-1053	268	37	1	1	NUM
cana-1053	268	38	2	2	NUM
cana-1053	268	39	(	(	PUNCT
cana-1053	268	40	,	,	PUNCT
cana-1053	268	41	,	,	PUNCT
cana-1053	268	42	...	...	PUNCT
cana-1053	268	43	,	,	PUNCT
cana-1053	268	44	)	)	PUNCT
cana-1053	268	45	n	n	PROPN
cana-1053	268	46	n	n	PROPN
cana-1053	268	47			ADJ
cana-1053	268	48			ADJ
cana-1053	268	49			NOUN
cana-1053	268	50	.	.	PUNCT
cana-1053	269	1	the	the	DET
cana-1053	269	2	inequality	inequality	NOUN
cana-1053	269	3	(	(	PUNCT
cana-1053	269	4	2.2	2.2	NUM
cana-1053	269	5	)	)	PUNCT
cana-1053	269	6	is	be	AUX
cana-1053	269	7	acknowledged	acknowledge	VERB
cana-1053	269	8	as	as	ADP
cana-1053	269	9	the	the	DET
cana-1053	269	10	jensen	jensen	PROPN
cana-1053	269	11	inequality	inequality	NOUN
cana-1053	269	12	for	for	ADP
cana-1053	269	13	real	real	ADV
cana-1053	269	14	-	-	PUNCT
cana-1053	269	15	valued	value	VERB
cana-1053	269	16	twice	twice	ADV
cana-1053	269	17	differentiable	differentiable	ADJ
cana-1053	269	18	concave	concave	NOUN
cana-1053	269	19	functions	function	NOUN
cana-1053	269	20	with	with	ADP
cana-1053	269	21	domain	domain	NOUN
cana-1053	269	22	]	]	PUNCT
cana-1053	269	23	,	,	PUNCT
cana-1053	270	1	[	[	X
cana-1053	270	2	a	a	DET
cana-1053	270	3	b	b	NOUN
cana-1053	270	4	.	.	PUNCT
cana-1053	271	1	for	for	ADP
cana-1053	271	2	definitions	definition	NOUN
cana-1053	271	3	2.1	2.1	NUM
cana-1053	271	4	,	,	PUNCT
cana-1053	271	5	2.3	2.3	NUM
cana-1053	271	6	and	and	CCONJ
cana-1053	271	7	lemmas	lemmas	PROPN
cana-1053	271	8	2.2	2.2	NUM
cana-1053	271	9	,	,	PUNCT
cana-1053	271	10	2.4	2.4	NUM
cana-1053	271	11	and	and	CCONJ
cana-1053	271	12	2.5	2.5	NUM
cana-1053	271	13	,	,	PUNCT
cana-1053	271	14	see	see	VERB
cana-1053	271	15	aczel	aczel	NOUN
cana-1053	271	16	and	and	CCONJ
cana-1053	271	17	daroczy	daroczy	NOUN
cana-1053	272	1	[	[	X
cana-1053	272	2	1	1	NUM
cana-1053	272	3	]	]	X
cana-1053	272	4	;	;	PUNCT
cana-1053	272	5	hardy	hardy	ADJ
cana-1053	272	6	,	,	PUNCT
cana-1053	272	7	littlewood	littlewood	NOUN
cana-1053	272	8	and	and	CCONJ
cana-1053	272	9	polya	polya	NOUN
cana-1053	273	1	[	[	X
cana-1053	273	2	9	9	NUM
cana-1053	273	3	]	]	PUNCT
cana-1053	273	4	.	.	PUNCT
cana-1053	274	1	https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=745314	https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=745314	ADJ
cana-1053	274	2	https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=42995	https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=42995	PROPN
cana-1053	274	3	https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=193047	https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=193047	NOUN
cana-1053	274	4	communications	communication	NOUN
cana-1053	274	5	on	on	ADP
cana-1053	274	6	applied	apply	VERB
cana-1053	274	7	nonlinear	nonlinear	ADJ
cana-1053	274	8	analysis	analysis	NOUN
cana-1053	274	9	issn	issn	NOUN
cana-1053	274	10	:	:	PUNCT
cana-1053	274	11	1074	1074	NUM
cana-1053	274	12	-	-	PUNCT
cana-1053	274	13	133x	133x	NUM
cana-1053	274	14	vol	vol	NOUN
cana-1053	274	15	31	31	NUM
cana-1053	274	16	no	no	NOUN
cana-1053	274	17	.	.	PUNCT
cana-1053	275	1	5s	5s	NUM
cana-1053	275	2	(	(	PUNCT
cana-1053	275	3	2024	2024	NUM
cana-1053	275	4	)	)	PUNCT
cana-1053	275	5	331	331	NUM
cana-1053	275	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	275	7	the	the	DET
cana-1053	275	8	real	real	ADV
cana-1053	275	9	-	-	PUNCT
cana-1053	275	10	valued	value	VERB
cana-1053	275	11	function	function	NOUN
cana-1053	275	12	2logx	2logx	NUM
cana-1053	275	13	x	x	X
cana-1053	275	14	,	,	PUNCT
cana-1053	275	15	0x	0x	X
cana-1053	275	16			X
cana-1053	275	17	,	,	PUNCT
cana-1053	275	18	is	be	AUX
cana-1053	275	19	a	a	DET
cana-1053	275	20	twice	twice	ADV
cana-1053	275	21	differentiable	differentiable	ADJ
cana-1053	275	22	strictly	strictly	ADV
cana-1053	275	23	concave	concave	VERB
cana-1053	275	24	function	function	NOUN
cana-1053	275	25	demarcated	demarcate	VERB
cana-1053	275	26	on	on	ADP
cana-1053	275	27	]	]	X
cana-1053	275	28	0	0	NUM
cana-1053	275	29	,	,	PUNCT
cana-1053	275	30	[	[	PUNCT
cana-1053	275	31	{	{	PUNCT
cana-1053	275	32	:	:	PUNCT
cana-1053	275	33	0	0	NUM
cana-1053	275	34	}	}	PUNCT
cana-1053	275	35	x	x	SYM
cana-1053	276	1	r	r	NOUN
cana-1053	276	2	x	x	NUM
cana-1053	276	3	=	=	SYM
cana-1053	276	4			NOUN
cana-1053	276	5			PROPN
cana-1053	276	6			PROPN
cana-1053	276	7			VERB
cana-1053	276	8	.	.	PUNCT
cana-1053	277	1	in	in	ADP
cana-1053	277	2	the	the	DET
cana-1053	277	3	forthcoming	forthcoming	ADJ
cana-1053	277	4	subsections	subsection	NOUN
cana-1053	277	5	of	of	ADP
cana-1053	277	6	the	the	DET
cana-1053	277	7	paper	paper	NOUN
cana-1053	277	8	,	,	PUNCT
cana-1053	277	9	unless	unless	SCONJ
cana-1053	277	10	otherwise	otherwise	ADV
cana-1053	277	11	revealed	reveal	VERB
cana-1053	277	12	,	,	PUNCT
cana-1053	277	13	we	we	PRON
cana-1053	277	14	shall	shall	AUX
cana-1053	277	15	soppose	soppose	VERB
cana-1053	277	16	that	that	SCONJ
cana-1053	277	17	1	1	NUM
cana-1053	277	18	2	2	NUM
cana-1053	277	19	,	,	PUNCT
cana-1053	277	20	,	,	PUNCT
cana-1053	277	21	...	...	PUNCT
cana-1053	277	22	,	,	PUNCT
cana-1053	277	23	nx	nx	X
cana-1053	277	24	x	x	SYM
cana-1053	277	25	x	x	X
cana-1053	277	26	,	,	PUNCT
cana-1053	277	27	1	1	NUM
cana-1053	277	28	2	2	NUM
cana-1053	277	29	,	,	PUNCT
cana-1053	277	30	,	,	PUNCT
cana-1053	277	31	...	...	PUNCT
cana-1053	277	32	,	,	PUNCT
cana-1053	277	33	ny	ny	PROPN
cana-1053	277	34	y	y	PROPN
cana-1053	277	35	y	y	PROPN
cana-1053	277	36	,	,	PUNCT
cana-1053	277	37	1	1	NUM
cana-1053	277	38	2	2	NUM
cana-1053	277	39	,	,	PUNCT
cana-1053	277	40	,	,	PUNCT
cana-1053	277	41	...	...	PUNCT
cana-1053	277	42	,	,	PUNCT
cana-1053	277	43	na	na	ADP
cana-1053	277	44	a	a	DET
cana-1053	277	45	a	a	PRON
cana-1053	277	46	and	and	CCONJ
cana-1053	277	47	1	1	NUM
cana-1053	277	48	2	2	NUM
cana-1053	277	49	,	,	PUNCT
cana-1053	277	50	...	...	PUNCT
cana-1053	277	51	,	,	PUNCT
cana-1053	277	52	nb	nb	PROPN
cana-1053	277	53	b	b	PROPN
cana-1053	277	54	b	b	PROPN
cana-1053	277	55	are	be	AUX
cana-1053	277	56	positive	positive	ADJ
cana-1053	277	57	real	real	ADJ
cana-1053	277	58	numbers	number	NOUN
cana-1053	277	59	.	.	PUNCT
cana-1053	278	1	result	result	VERB
cana-1053	278	2	2.6	2.6	NUM
cana-1053	278	3	(	(	PUNCT
cana-1053	278	4	[	[	X
cana-1053	278	5	22	22	NUM
cana-1053	278	6	]	]	PUNCT
cana-1053	278	7	,	,	PUNCT
cana-1053	278	8	p.	p.	NOUN
cana-1053	278	9	88	88	NUM
cana-1053	278	10	)	)	PUNCT
cana-1053	278	11	.	.	PUNCT
cana-1053	279	1	with	with	ADP
cana-1053	279	2	the	the	DET
cana-1053	279	3	above	above	ADJ
cana-1053	279	4	declared	declare	VERB
cana-1053	279	5	assumptions	assumption	NOUN
cana-1053	279	6	,	,	PUNCT
cana-1053	279	7	the	the	DET
cana-1053	279	8	subsequent	subsequent	ADJ
cana-1053	279	9	inequality	inequality	NOUN
cana-1053	279	10	grips	grip	NOUN
cana-1053	279	11	:	:	PUNCT
cana-1053	279	12	1	1	NUM
cana-1053	279	13	2	2	NUM
cana-1053	279	14	2	2	NUM
cana-1053	279	15	1	1	NUM
cana-1053	279	16	1	1	NUM
cana-1053	279	17	1	1	NUM
cana-1053	279	18	log	log	NOUN
cana-1053	279	19	log	log	NOUN
cana-1053	279	20	n	n	NOUN
cana-1053	279	21	in	in	ADP
cana-1053	279	22	n	n	PRON
cana-1053	279	23	i	i	PRON
cana-1053	280	1	i	i	PRON
cana-1053	280	2	i	i	PRON
cana-1053	280	3	in	in	ADP
cana-1053	280	4	ii	ii	PROPN
cana-1053	281	1	i	i	PRON
cana-1053	281	2	i	i	PRON
cana-1053	282	1	i	i	VERB
cana-1053	282	2	x	x	VERB
cana-1053	283	1	x	x	PUNCT
cana-1053	283	2	x	x	PUNCT
cana-1053	283	3	x	x	PUNCT
cana-1053	283	4	y	y	NOUN
cana-1053	283	5	y	y	NOUN
cana-1053	283	6	=	=	PUNCT
cana-1053	283	7	=	=	PUNCT
cana-1053	283	8	=	=	PUNCT
cana-1053	283	9	=	=	PUNCT
cana-1053	283	10			NOUN
cana-1053	283	11			PROPN
cana-1053	284	1			PROPN
cana-1053	285	1			PROPN
cana-1053	285	2			NOUN
cana-1053	285	3			PROPN
cana-1053	285	4			PROPN
cana-1053	285	5			PROPN
cana-1053	285	6			PROPN
cana-1053	285	7			NUM
cana-1053	286	1			INTJ
cana-1053	287	1			PROPN
cana-1053	287	2			NOUN
cana-1053	288	1			PROPN
cana-1053	289	1			ADJ
cana-1053	289	2			NOUN
cana-1053	289	3			NOUN
cana-1053	289	4			PROPN
cana-1053	289	5			PROPN
cana-1053	289	6			PROPN
cana-1053	289	7			PROPN
cana-1053	289	8			X
cana-1053	289	9			X
cana-1053	289	10			X
cana-1053	289	11			X
cana-1053	289	12	(	(	PUNCT
cana-1053	289	13	2.5	2.5	NUM
cana-1053	289	14	)	)	PUNCT
cana-1053	289	15	for	for	ADP
cana-1053	289	16	all	all	DET
cana-1053	289	17	integers	integer	NOUN
cana-1053	289	18	1n	1n	NUM
cana-1053	289	19	.	.	PUNCT
cana-1053	290	1	if	if	SCONJ
cana-1053	290	2	1n=	1n=	NUM
cana-1053	290	3	,	,	PUNCT
cana-1053	290	4	then	then	ADV
cana-1053	290	5	(	(	PUNCT
cana-1053	290	6	2.5	2.5	NUM
cana-1053	290	7	)	)	PUNCT
cana-1053	290	8	holds	hold	VERB
cana-1053	290	9	only	only	ADV
cana-1053	290	10	as	as	ADP
cana-1053	290	11	an	an	DET
cana-1053	290	12	equality	equality	NOUN
cana-1053	290	13	.	.	PUNCT
cana-1053	291	1	in	in	ADP
cana-1053	291	2	the	the	DET
cana-1053	291	3	sequel	sequel	NOUN
cana-1053	291	4	,	,	PUNCT
cana-1053	291	5	we	we	PRON
cana-1053	291	6	have	have	AUX
cana-1053	291	7	presented	present	VERB
cana-1053	291	8	innumerable	innumerable	ADJ
cana-1053	291	9	inequalities	inequality	NOUN
cana-1053	291	10	originating	originate	VERB
cana-1053	291	11	through	through	ADP
cana-1053	291	12	discrete	discrete	ADJ
cana-1053	291	13	inaccuracy	inaccuracy	ADJ
cana-1053	291	14	measures	measure	NOUN
cana-1053	291	15	.	.	PUNCT
cana-1053	292	1	theorem	theorem	VERB
cana-1053	292	2	2.7	2.7	NUM
cana-1053	292	3	.	.	PUNCT
cana-1053	293	1	with	with	ADP
cana-1053	293	2	the	the	DET
cana-1053	293	3	above	above	ADJ
cana-1053	293	4	declared	declare	VERB
cana-1053	293	5	assumptions	assumption	NOUN
cana-1053	293	6	and	and	CCONJ
cana-1053	293	7	1n	1n	NUM
cana-1053	293	8	a	a	DET
cana-1053	293	9	specified	specified	ADJ
cana-1053	293	10	integer	integer	NOUN
cana-1053	293	11	,	,	PUNCT
cana-1053	293	12	the	the	DET
cana-1053	293	13	succeeding	succeed	VERB
cana-1053	293	14	inequality	inequality	NOUN
cana-1053	293	15	is	be	AUX
cana-1053	293	16	permanently	permanently	ADV
cana-1053	293	17	accurate	accurate	ADJ
cana-1053	293	18	:	:	PUNCT
cana-1053	293	19	2	2	NUM
cana-1053	293	20	1	1	NUM
cana-1053	293	21	1	1	NUM
cana-1053	293	22	2	2	NUM
cana-1053	293	23	1	1	NUM
cana-1053	293	24	1	1	NUM
cana-1053	293	25	log	log	NOUN
cana-1053	293	26	log	log	NOUN
cana-1053	293	27	n	n	CCONJ
cana-1053	293	28	n	n	NOUN
cana-1053	294	1	i	i	PRON
cana-1053	295	1	i	i	PRON
cana-1053	296	1	i	i	PRON
cana-1053	297	1	i	i	PRON
cana-1053	298	1	i	i	VERB
cana-1053	299	1	i	i	VERB
cana-1053	300	1	n	n	VERB
cana-1053	301	1	n	n	NOUN
cana-1053	302	1	i	i	PRON
cana-1053	302	2	i	i	PRON
cana-1053	303	1	i	i	INTJ
cana-1053	303	2	i	i	VERB
cana-1053	303	3	x	x	VERB
cana-1053	304	1	y	y	VERB
cana-1053	304	2	x	x	X
cana-1053	304	3	y	y	NOUN
cana-1053	304	4	x	x	PUNCT
cana-1053	304	5	x	x	PUNCT
cana-1053	304	6	=	=	PUNCT
cana-1053	304	7	=	=	PUNCT
cana-1053	304	8	=	=	SYM
cana-1053	304	9	=	=	NOUN
cana-1053	304	10			NOUN
cana-1053	304	11			PROPN
cana-1053	304	12			PROPN
cana-1053	305	1			PROPN
cana-1053	305	2			PROPN
cana-1053	305	3			NOUN
cana-1053	305	4			PROPN
cana-1053	306	1			PROPN
cana-1053	307	1			PROPN
cana-1053	307	2			PROPN
cana-1053	308	1			PROPN
cana-1053	308	2			PROPN
cana-1053	308	3			X
cana-1053	308	4			X
cana-1053	308	5			X
cana-1053	308	6			X
cana-1053	308	7	(	(	PUNCT
cana-1053	308	8	2.6	2.6	NUM
cana-1053	308	9	)	)	PUNCT
cana-1053	308	10	if	if	SCONJ
cana-1053	308	11	1n=	1n=	NUM
cana-1053	308	12	,	,	PUNCT
cana-1053	308	13	then	then	ADV
cana-1053	308	14	(	(	PUNCT
cana-1053	308	15	2.6	2.6	NUM
cana-1053	308	16	)	)	PUNCT
cana-1053	308	17	holds	hold	VERB
cana-1053	308	18	as	as	ADP
cana-1053	308	19	an	an	DET
cana-1053	308	20	equality	equality	NOUN
cana-1053	308	21	.	.	PUNCT
cana-1053	309	1	if	if	SCONJ
cana-1053	309	2	2n	2n	NUM
cana-1053	309	3	,	,	PUNCT
cana-1053	309	4	then	then	ADV
cana-1053	309	5	the	the	DET
cana-1053	309	6	sign	sign	NOUN
cana-1053	309	7	of	of	ADP
cana-1053	309	8	equality	equality	NOUN
cana-1053	309	9	in	in	ADP
cana-1053	309	10	(	(	PUNCT
cana-1053	309	11	2.6	2.6	NUM
cana-1053	309	12	)	)	PUNCT
cana-1053	309	13	holds	hold	VERB
cana-1053	309	14	only	only	ADV
cana-1053	309	15	for	for	ADP
cana-1053	309	16	the	the	DET
cana-1053	309	17	equivalence	equivalence	NOUN
cana-1053	309	18	of	of	ADP
cana-1053	309	19	iy	iy	PROPN
cana-1053	309	20	.	.	PUNCT
cana-1053	310	1	proof	proof	NOUN
cana-1053	310	2	.	.	PUNCT
cana-1053	311	1	if	if	SCONJ
cana-1053	311	2	1n=	1n=	NUM
cana-1053	311	3	,	,	PUNCT
cana-1053	311	4	then	then	ADV
cana-1053	311	5	the	the	DET
cana-1053	311	6	sign	sign	NOUN
cana-1053	311	7	of	of	ADP
cana-1053	311	8	equality	equality	NOUN
cana-1053	311	9	holds	hold	VERB
cana-1053	311	10	in	in	ADP
cana-1053	311	11	(	(	PUNCT
cana-1053	311	12	2.6	2.6	NUM
cana-1053	311	13	)	)	PUNCT
cana-1053	311	14	as	as	SCONJ
cana-1053	311	15	each	each	DET
cana-1053	311	16	side	side	NOUN
cana-1053	311	17	of	of	ADP
cana-1053	311	18	it	it	PRON
cana-1053	311	19	equals	equal	VERB
cana-1053	311	20	2	2	NUM
cana-1053	311	21	1log	1log	NUM
cana-1053	311	22	y	y	NOUN
cana-1053	311	23	.	.	PUNCT
cana-1053	312	1	now	now	ADV
cana-1053	312	2	suppose	suppose	VERB
cana-1053	312	3	2n	2n	NUM
cana-1053	312	4	.	.	PUNCT
cana-1053	313	1	then	then	ADV
cana-1053	313	2	by	by	ADP
cana-1053	313	3	the	the	DET
cana-1053	313	4	inequality	inequality	NOUN
cana-1053	313	5	(	(	PUNCT
cana-1053	313	6	2.5	2.5	NUM
cana-1053	313	7	)	)	PUNCT
cana-1053	313	8	,	,	PUNCT
cana-1053	313	9	we	we	PRON
cana-1053	313	10	acquire	acquire	VERB
cana-1053	313	11	the	the	DET
cana-1053	313	12	subsequent	subsequent	ADJ
cana-1053	313	13	communication	communication	NOUN
cana-1053	313	14	:	:	PUNCT
cana-1053	313	15	1	1	NUM
cana-1053	313	16	2	2	NUM
cana-1053	313	17	2	2	NUM
cana-1053	313	18	1	1	NUM
cana-1053	313	19	1	1	NUM
cana-1053	313	20	1	1	NUM
cana-1053	313	21	log	log	NOUN
cana-1053	313	22	log	log	NOUN
cana-1053	313	23	n	n	NOUN
cana-1053	313	24	in	in	ADP
cana-1053	313	25	n	n	PRON
cana-1053	314	1	i	i	PRON
cana-1053	314	2	i	i	PRON
cana-1053	314	3	i	i	PRON
cana-1053	314	4	in	in	ADP
cana-1053	314	5	i	i	INTJ
cana-1053	314	6	ii	ii	VERB
cana-1053	315	1	i	i	PRON
cana-1053	315	2	i	i	PRON
cana-1053	316	1	i	i	PRON
cana-1053	316	2	i	i	VERB
cana-1053	316	3	x	x	VERB
cana-1053	317	1	x	x	PUNCT
cana-1053	317	2	x	x	PUNCT
cana-1053	317	3	x	x	PUNCT
cana-1053	317	4	x	x	PUNCT
cana-1053	317	5	y	y	NOUN
cana-1053	317	6	x	x	PUNCT
cana-1053	317	7	y	y	NOUN
cana-1053	317	8	=	=	PUNCT
cana-1053	317	9	=	=	PUNCT
cana-1053	317	10	=	=	PUNCT
cana-1053	317	11	=	=	PUNCT
cana-1053	317	12			NOUN
cana-1053	317	13			PROPN
cana-1053	318	1			PROPN
cana-1053	319	1			PROPN
cana-1053	319	2			NOUN
cana-1053	319	3			PROPN
cana-1053	320	1			PROPN
cana-1053	320	2			PROPN
cana-1053	321	1			NUM
cana-1053	322	1			PROPN
cana-1053	323	1			PROPN
cana-1053	323	2			VERB
cana-1053	323	3			NOUN
cana-1053	323	4			PROPN
cana-1053	323	5			PROPN
cana-1053	323	6			PROPN
cana-1053	323	7			PROPN
cana-1053	323	8			X
cana-1053	323	9			X
cana-1053	323	10			X
cana-1053	323	11			X
cana-1053	323	12	.	.	PUNCT
cana-1053	324	1	(	(	PUNCT
cana-1053	324	2	2.7	2.7	NUM
cana-1053	324	3	)	)	PUNCT
cana-1053	324	4	which	which	PRON
cana-1053	324	5	,	,	PUNCT
cana-1053	324	6	upon	upon	SCONJ
cana-1053	324	7	simplification	simplification	NOUN
cana-1053	324	8	,	,	PUNCT
cana-1053	324	9	contributes	contribute	VERB
cana-1053	324	10	with	with	ADP
cana-1053	324	11	the	the	DET
cana-1053	324	12	subsequent	subsequent	ADJ
cana-1053	324	13	manifestation	manifestation	NOUN
cana-1053	324	14	:	:	PUNCT
cana-1053	324	15	2	2	NUM
cana-1053	324	16	1	1	NUM
cana-1053	324	17	1	1	NUM
cana-1053	324	18	2	2	NUM
cana-1053	324	19	1	1	NUM
cana-1053	324	20	1	1	NUM
cana-1053	324	21	1	1	NUM
cana-1053	324	22	log	log	NOUN
cana-1053	324	23	log	log	NOUN
cana-1053	324	24	n	n	CCONJ
cana-1053	324	25	n	n	NOUN
cana-1053	325	1	i	i	PRON
cana-1053	325	2	i	i	PRON
cana-1053	325	3	ii	ii	VERB
cana-1053	325	4	i	i	PRON
cana-1053	325	5	n	n	VERB
cana-1053	325	6	n	n	NOUN
cana-1053	326	1	i	i	PRON
cana-1053	327	1	i	i	PRON
cana-1053	328	1	i	i	PRON
cana-1053	329	1	i	i	PRON
cana-1053	330	1	i	i	VERB
cana-1053	330	2	x	x	VERB
cana-1053	331	1	x	x	VERB
cana-1053	331	2	y	y	NOUN
cana-1053	331	3	x	x	X
cana-1053	331	4	y	y	NOUN
cana-1053	331	5	x	x	PUNCT
cana-1053	331	6	=	=	PUNCT
cana-1053	331	7	=	=	PUNCT
cana-1053	331	8	=	=	SYM
cana-1053	331	9	=	=	NOUN
cana-1053	331	10			NOUN
cana-1053	331	11			PROPN
cana-1053	332	1			PROPN
cana-1053	333	1			PROPN
cana-1053	334	1			PROPN
cana-1053	334	2			PROPN
cana-1053	335	1			NOUN
cana-1053	336	1			PROPN
cana-1053	337	1			PROPN
cana-1053	338	1			PROPN
cana-1053	338	2			PROPN
cana-1053	339	1			PROPN
cana-1053	339	2			PROPN
cana-1053	339	3			X
cana-1053	339	4			X
cana-1053	339	5			X
cana-1053	339	6			X
cana-1053	339	7	(	(	PUNCT
cana-1053	339	8	2.8	2.8	NUM
cana-1053	339	9	)	)	PUNCT
cana-1053	339	10	communications	communication	NOUN
cana-1053	339	11	on	on	ADP
cana-1053	339	12	applied	apply	VERB
cana-1053	339	13	nonlinear	nonlinear	ADJ
cana-1053	339	14	analysis	analysis	NOUN
cana-1053	339	15	issn	issn	NOUN
cana-1053	339	16	:	:	PUNCT
cana-1053	339	17	1074	1074	NUM
cana-1053	339	18	-	-	PUNCT
cana-1053	339	19	133x	133x	NUM
cana-1053	339	20	vol	vol	NOUN
cana-1053	339	21	31	31	NUM
cana-1053	339	22	no	no	NOUN
cana-1053	339	23	.	.	PUNCT
cana-1053	340	1	5s	5s	NUM
cana-1053	340	2	(	(	PUNCT
cana-1053	340	3	2024	2024	NUM
cana-1053	340	4	)	)	PUNCT
cana-1053	340	5	332	332	NUM
cana-1053	340	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	340	7	from	from	ADP
cana-1053	340	8	which	which	PRON
cana-1053	340	9	(	(	PUNCT
cana-1053	340	10	2.6	2.6	NUM
cana-1053	340	11	)	)	PUNCT
cana-1053	340	12	follows	follow	VERB
cana-1053	340	13	immediately	immediately	ADV
cana-1053	340	14	.	.	PUNCT
cana-1053	341	1	the	the	DET
cana-1053	341	2	emblem	emblem	NOUN
cana-1053	341	3	of	of	ADP
cana-1053	341	4	equivalence	equivalence	NOUN
cana-1053	341	5	in	in	ADP
cana-1053	341	6	(	(	PUNCT
cana-1053	341	7	2.7	2.7	NUM
cana-1053	341	8	)	)	PUNCT
cana-1053	341	9	clutches	clutch	NOUN
cana-1053	341	10	only	only	ADV
cana-1053	341	11	for	for	ADP
cana-1053	341	12	the	the	DET
cana-1053	341	13	equivalence	equivalence	NOUN
cana-1053	341	14	of	of	ADP
cana-1053	341	15	iy	iy	PROPN
cana-1053	341	16	.	.	PUNCT
cana-1053	342	1	consequently	consequently	ADV
cana-1053	342	2	,	,	PUNCT
cana-1053	342	3	the	the	DET
cana-1053	342	4	sign	sign	NOUN
cana-1053	342	5	of	of	ADP
cana-1053	342	6	equality	equality	NOUN
cana-1053	342	7	in	in	ADP
cana-1053	342	8	(	(	PUNCT
cana-1053	342	9	2.6	2.6	NUM
cana-1053	342	10	)	)	PUNCT
cana-1053	342	11	holds	hold	VERB
cana-1053	342	12	only	only	ADV
cana-1053	342	13	for	for	ADP
cana-1053	342	14	the	the	DET
cana-1053	342	15	equivalence	equivalence	NOUN
cana-1053	342	16	of	of	ADP
cana-1053	342	17	iy	iy	PROPN
cana-1053	342	18	.	.	PUNCT
cana-1053	343	1	the	the	DET
cana-1053	343	2	inequality	inequality	NOUN
cana-1053	343	3	(	(	PUNCT
cana-1053	343	4	2.6	2.6	NUM
cana-1053	343	5	)	)	PUNCT
cana-1053	343	6	remains	remain	VERB
cana-1053	343	7	effective	effective	ADJ
cana-1053	343	8	if	if	SCONJ
cana-1053	343	9	ix	ix	PROPN
cana-1053	343	10	and	and	CCONJ
cana-1053	343	11	iy	iy	PROPN
cana-1053	343	12	are	be	AUX
cana-1053	343	13	nonnegative	nonnegative	ADJ
cana-1053	343	14	real	real	ADJ
cana-1053	343	15	numbers	number	NOUN
cana-1053	343	16	such	such	ADJ
cana-1053	343	17	that	that	SCONJ
cana-1053	343	18	1	1	NUM
cana-1053	343	19	0	0	NUM
cana-1053	343	20	n	n	NOUN
cana-1053	343	21	i	i	PRON
cana-1053	344	1	i	i	INTJ
cana-1053	344	2	x	x	X
cana-1053	345	1	=	=	PUNCT
cana-1053	345	2			NOUN
cana-1053	345	3	,	,	PUNCT
cana-1053	345	4	1	1	NUM
cana-1053	345	5	0	0	NUM
cana-1053	345	6	n	n	NOUN
cana-1053	346	1	i	i	PRON
cana-1053	347	1	i	i	INTJ
cana-1053	347	2	y	y	NOUN
cana-1053	347	3	=	=	PUNCT
cana-1053	347	4			PROPN
cana-1053	347	5	;	;	PUNCT
cana-1053	347	6	and	and	CCONJ
cana-1053	347	7	0ix	0ix	X
cana-1053	347	8	=	=	PUNCT
cana-1053	347	9	for	for	ADP
cana-1053	347	10	all	all	DET
cana-1053	347	11	those	those	DET
cana-1053	347	12	indices	index	NOUN
cana-1053	347	13	i	i	PRON
cana-1053	347	14	for	for	ADP
cana-1053	347	15	which	which	PRON
cana-1053	347	16	0iy	0iy	NOUN
cana-1053	347	17	=	=	PUNCT
cana-1053	348	1	(	(	PUNCT
cana-1053	348	2	if	if	SCONJ
cana-1053	348	3	any	any	PRON
cana-1053	348	4	)	)	PUNCT
cana-1053	348	5	.	.	PUNCT
cana-1053	349	1	the	the	DET
cana-1053	349	2	reason	reason	NOUN
cana-1053	349	3	is	be	AUX
cana-1053	349	4	that	that	SCONJ
cana-1053	349	5	for	for	ADP
cana-1053	349	6	such	such	ADJ
cana-1053	349	7	indices	index	NOUN
cana-1053	349	8	i	i	PRON
cana-1053	349	9	,	,	PUNCT
cana-1053	349	10	0i	0i	PROPN
cana-1053	349	11	ix	ix	PROPN
cana-1053	350	1	y	y	PROPN
cana-1053	350	2	=	=	PUNCT
cana-1053	350	3	and	and	CCONJ
cana-1053	350	4	2	2	NUM
cana-1053	350	5	2log	2log	NUM
cana-1053	350	6	0	0	NUM
cana-1053	350	7	log	log	NOUN
cana-1053	350	8	0	0	NUM
cana-1053	350	9	:	:	PUNCT
cana-1053	350	10	0i	0i	PROPN
cana-1053	350	11	ix	ix	PROPN
cana-1053	351	1	y	y	PROPN
cana-1053	351	2	=	=	PUNCT
cana-1053	352	1	=	=	PROPN
cana-1053	352	2	and	and	CCONJ
cana-1053	352	3	,	,	PUNCT
cana-1053	352	4	thus	thus	ADV
cana-1053	352	5	,	,	PUNCT
cana-1053	352	6	both	both	DET
cana-1053	352	7	sides	side	NOUN
cana-1053	352	8	of	of	ADP
cana-1053	352	9	the	the	DET
cana-1053	352	10	inequality	inequality	NOUN
cana-1053	352	11	(	(	PUNCT
cana-1053	352	12	2.6	2.6	NUM
cana-1053	352	13	)	)	PUNCT
cana-1053	352	14	remain	remain	VERB
cana-1053	352	15	unchanged	unchanged	ADJ
cana-1053	352	16	.	.	PUNCT
cana-1053	353	1	the	the	DET
cana-1053	353	2	inequality	inequality	NOUN
cana-1053	353	3	(	(	PUNCT
cana-1053	353	4	2.6	2.6	NUM
cana-1053	353	5	)	)	PUNCT
cana-1053	353	6	remains	remain	VERB
cana-1053	353	7	valid	valid	ADJ
cana-1053	353	8	if	if	SCONJ
cana-1053	353	9	ix	ix	PROPN
cana-1053	353	10	and	and	CCONJ
cana-1053	353	11	iy	iy	PROPN
cana-1053	353	12	are	be	AUX
cana-1053	353	13	nonnegative	nonnegative	ADJ
cana-1053	353	14	real	real	ADJ
cana-1053	353	15	numbers	number	NOUN
cana-1053	353	16	such	such	ADJ
cana-1053	353	17	that	that	SCONJ
cana-1053	353	18	1	1	NUM
cana-1053	353	19	0	0	NUM
cana-1053	353	20	n	n	NOUN
cana-1053	353	21	i	i	PRON
cana-1053	354	1	i	i	INTJ
cana-1053	354	2	x	x	X
cana-1053	355	1	=	=	PUNCT
cana-1053	355	2			PROPN
cana-1053	355	3	.	.	PUNCT
cana-1053	356	1	in	in	ADP
cana-1053	356	2	this	this	DET
cana-1053	356	3	case	case	NOUN
cana-1053	356	4	,	,	PUNCT
cana-1053	356	5	in	in	ADP
cana-1053	356	6	addition	addition	NOUN
cana-1053	356	7	to	to	ADP
cana-1053	356	8	the	the	DET
cana-1053	356	9	assumptions	assumption	NOUN
cana-1053	356	10	mentioned	mention	VERB
cana-1053	356	11	in	in	ADP
cana-1053	356	12	the	the	DET
cana-1053	356	13	above	above	ADJ
cana-1053	356	14	paragraph	paragraph	NOUN
cana-1053	356	15	,	,	PUNCT
cana-1053	356	16	one	one	PRON
cana-1053	356	17	needs	need	VERB
cana-1053	356	18	to	to	PART
cana-1053	356	19	assume	assume	VERB
cana-1053	356	20	0	0	PUNCT
cana-1053	357	1	if	if	SCONJ
cana-1053	357	2	0	0	NUM
cana-1053	357	3	(	(	PUNCT
cana-1053	357	4	)	)	PUNCT
cana-1053	357	5	if	if	SCONJ
cana-1053	357	6	0	0	NUM
cana-1053	357	7	.	.	PUNCT
cana-1053	358	1	x	x	PUNCT
cana-1053	359	1	x	x	PUNCT
cana-1053	359	2	x	x	SYM
cana-1053	359	3	=	=	NOUN
cana-1053	359	4			NOUN
cana-1053	359	5			NUM
cana-1053	359	6	−	−	NOUN
cana-1053	359	7	=	=	PUNCT
cana-1053	359	8			NOUN
cana-1053	359	9	−	−	PROPN
cana-1053	359	10			PROPN
cana-1053	359	11	now	now	ADV
cana-1053	359	12	,	,	PUNCT
cana-1053	359	13	we	we	PRON
cana-1053	359	14	point	point	VERB
cana-1053	359	15	out	out	ADP
cana-1053	359	16	the	the	DET
cana-1053	359	17	usefulness	usefulness	NOUN
cana-1053	359	18	of	of	ADP
cana-1053	359	19	(	(	PUNCT
cana-1053	359	20	2.6	2.6	NUM
cana-1053	359	21	)	)	PUNCT
cana-1053	359	22	in	in	ADP
cana-1053	359	23	information	information	NOUN
cana-1053	359	24	theory	theory	NOUN
cana-1053	359	25	.	.	PUNCT
cana-1053	360	1	remarks	remark	VERB
cana-1053	360	2	.	.	PUNCT
cana-1053	361	1	we	we	PRON
cana-1053	361	2	assume	assume	VERB
cana-1053	361	3	that	that	SCONJ
cana-1053	361	4	at	at	ADV
cana-1053	361	5	least	least	ADV
cana-1053	361	6	two	two	NUM
cana-1053	361	7	elements	element	NOUN
cana-1053	361	8	among	among	ADP
cana-1053	361	9	iy	iy	PROPN
cana-1053	361	10	are	be	AUX
cana-1053	361	11	unequal	unequal	ADJ
cana-1053	361	12	.	.	PUNCT
cana-1053	362	1	(	(	PUNCT
cana-1053	362	2	i	i	NOUN
cana-1053	362	3	)	)	PUNCT
cana-1053	362	4	if	if	SCONJ
cana-1053	362	5	1	1	NUM
cana-1053	362	6	i	i	PRON
cana-1053	362	7	i	i	VERB
cana-1053	362	8	y	y	VERB
cana-1053	362	9	x	x	PUNCT
cana-1053	363	1	=	=	PRON
cana-1053	363	2	,	,	PUNCT
cana-1053	363	3	0ix	0ix	SYM
cana-1053	364	1			INTJ
cana-1053	364	2	,	,	PUNCT
cana-1053	364	3	2n	2n	NUM
cana-1053	364	4	an	an	DET
cana-1053	364	5	integer	integer	NOUN
cana-1053	364	6	,	,	PUNCT
cana-1053	364	7	then	then	ADV
cana-1053	364	8	(	(	PUNCT
cana-1053	364	9	2.6	2.6	NUM
cana-1053	364	10	)	)	PUNCT
cana-1053	364	11	provides	provide	VERB
cana-1053	364	12	the	the	DET
cana-1053	364	13	subsequent	subsequent	ADJ
cana-1053	364	14	appearance	appearance	NOUN
cana-1053	364	15	:	:	PUNCT
cana-1053	364	16	2	2	NUM
cana-1053	364	17	1	1	NUM
cana-1053	364	18	2	2	NUM
cana-1053	364	19	1	1	NUM
cana-1053	364	20	1	1	NUM
cana-1053	364	21	1	1	NUM
cana-1053	364	22	log	log	NOUN
cana-1053	364	23	log	log	NOUN
cana-1053	364	24	n	n	INTJ
cana-1053	365	1	i	i	PRON
cana-1053	365	2	ii	ii	VERB
cana-1053	365	3	n	n	VERB
cana-1053	365	4	n	n	ADV
cana-1053	366	1	i	i	PRON
cana-1053	366	2	i	i	PRON
cana-1053	367	1	i	i	PRON
cana-1053	367	2	i	i	VERB
cana-1053	367	3	x	x	VERB
cana-1053	368	1	x	x	VERB
cana-1053	368	2	n	n	PROPN
cana-1053	368	3	x	x	SYM
cana-1053	368	4	x	x	PUNCT
cana-1053	368	5	=	=	PUNCT
cana-1053	368	6	=	=	SYM
cana-1053	368	7	=	=	NOUN
cana-1053	369	1			NOUN
cana-1053	369	2			PROPN
cana-1053	369	3			PROPN
cana-1053	369	4			PROPN
cana-1053	369	5			NOUN
cana-1053	369	6			PROPN
cana-1053	369	7			NOUN
cana-1053	369	8			PROPN
cana-1053	369	9			PROPN
cana-1053	370	1			PROPN
cana-1053	371	1			PROPN
cana-1053	372	1			INTJ
cana-1053	373	1			PROPN
cana-1053	373	2			PROPN
cana-1053	374	1			PROPN
cana-1053	374	2			PROPN
cana-1053	374	3			X
cana-1053	374	4			X
cana-1053	374	5			X
cana-1053	374	6	(	(	PUNCT
cana-1053	374	7	2.9	2.9	NUM
cana-1053	374	8	)	)	PUNCT
cana-1053	374	9	note	note	NOUN
cana-1053	374	10	that	that	SCONJ
cana-1053	374	11	the	the	DET
cana-1053	374	12	left	left	ADJ
cana-1053	374	13	hand	hand	NOUN
cana-1053	374	14	side	side	NOUN
cana-1053	374	15	of	of	ADP
cana-1053	374	16	the	the	DET
cana-1053	374	17	inequality	inequality	NOUN
cana-1053	374	18	(	(	PUNCT
cana-1053	374	19	2.9	2.9	NUM
cana-1053	374	20	)	)	PUNCT
cana-1053	374	21	may	may	AUX
cana-1053	374	22	not	not	PART
cana-1053	374	23	be	be	AUX
cana-1053	374	24	a	a	DET
cana-1053	374	25	nonnegative	nonnegative	ADJ
cana-1053	374	26	real	real	ADJ
cana-1053	374	27	number	number	NOUN
cana-1053	374	28	.	.	PUNCT
cana-1053	375	1	(	(	PUNCT
cana-1053	375	2	ii	ii	NOUN
cana-1053	375	3	)	)	PUNCT
cana-1053	375	4	if	if	SCONJ
cana-1053	375	5	i	i	PRON
cana-1053	375	6	iy	iy	INTJ
cana-1053	375	7	x=	x=	PROPN
cana-1053	375	8	,	,	PUNCT
cana-1053	375	9	2n	2n	NUM
cana-1053	375	10	an	an	DET
cana-1053	375	11	integer	integer	NOUN
cana-1053	375	12	,	,	PUNCT
cana-1053	375	13	then	then	ADV
cana-1053	375	14	(	(	PUNCT
cana-1053	375	15	2.6	2.6	NUM
cana-1053	375	16	)	)	PUNCT
cana-1053	375	17	reduces	reduce	VERB
cana-1053	375	18	to	to	ADP
cana-1053	375	19	the	the	DET
cana-1053	375	20	succeeding	succeed	VERB
cana-1053	375	21	inequality	inequality	NOUN
cana-1053	375	22	:	:	PUNCT
cana-1053	375	23	2	2	NUM
cana-1053	375	24	2	2	NUM
cana-1053	375	25	1	1	NUM
cana-1053	375	26	1	1	NUM
cana-1053	375	27	2	2	NUM
cana-1053	375	28	1	1	NUM
cana-1053	375	29	1	1	NUM
cana-1053	375	30	log	log	NOUN
cana-1053	375	31	log	log	NOUN
cana-1053	375	32	n	n	CCONJ
cana-1053	376	1	n	n	NOUN
cana-1053	377	1	i	i	PRON
cana-1053	378	1	i	i	PRON
cana-1053	379	1	i	i	PRON
cana-1053	380	1	i	i	VERB
cana-1053	381	1	i	i	VERB
cana-1053	382	1	n	n	VERB
cana-1053	383	1	n	n	NOUN
cana-1053	384	1	i	i	PRON
cana-1053	384	2	i	i	PRON
cana-1053	385	1	i	i	PRON
cana-1053	385	2	i	i	VERB
cana-1053	385	3	x	x	VERB
cana-1053	386	1	x	x	PUNCT
cana-1053	386	2	x	x	PUNCT
cana-1053	386	3	x	x	PUNCT
cana-1053	386	4	x	x	SYM
cana-1053	386	5	=	=	PUNCT
cana-1053	386	6	=	=	PUNCT
cana-1053	386	7	=	=	SYM
cana-1053	386	8	=	=	NOUN
cana-1053	386	9			NOUN
cana-1053	386	10			PROPN
cana-1053	387	1			PROPN
cana-1053	388	1			PROPN
cana-1053	389	1			PROPN
cana-1053	389	2			VERB
cana-1053	389	3			PROPN
cana-1053	390	1			PROPN
cana-1053	391	1			PROPN
cana-1053	391	2			PROPN
cana-1053	392	1			PROPN
cana-1053	392	2			PROPN
cana-1053	392	3			X
cana-1053	392	4			X
cana-1053	392	5			X
cana-1053	392	6			X
cana-1053	392	7	(	(	PUNCT
cana-1053	392	8	2.10	2.10	NUM
cana-1053	392	9	)	)	PUNCT
cana-1053	392	10	in	in	ADP
cana-1053	392	11	particular	particular	ADJ
cana-1053	392	12	,	,	PUNCT
cana-1053	392	13	if	if	SCONJ
cana-1053	392	14	i	i	PRON
cana-1053	392	15	ix	ix	VERB
cana-1053	392	16	p=	p=	PROPN
cana-1053	392	17	,	,	PUNCT
cana-1053	393	1	such	such	ADJ
cana-1053	393	2	that	that	PRON
cana-1053	393	3	*	*	PUNCT
cana-1053	393	4	i	i	PRON
cana-1053	393	5	np	np	ADV
cana-1053	393	6			NOUN
cana-1053	393	7	,	,	PUNCT
cana-1053	393	8	then	then	ADV
cana-1053	393	9	equations	equation	NOUN
cana-1053	393	10	(	(	PUNCT
cana-1053	393	11	2.10	2.10	NUM
cana-1053	393	12	)	)	PUNCT
cana-1053	393	13	,	,	PUNCT
cana-1053	393	14	(	(	PUNCT
cana-1053	393	15	1.1	1.1	NUM
cana-1053	393	16	)	)	PUNCT
cana-1053	393	17	and	and	CCONJ
cana-1053	393	18	(	(	PUNCT
cana-1053	393	19	1.2	1.2	NUM
cana-1053	393	20	)	)	PUNCT
cana-1053	393	21	provide	provide	VERB
cana-1053	393	22	the	the	DET
cana-1053	393	23	subsequent	subsequent	ADJ
cana-1053	393	24	manifestation	manifestation	NOUN
cana-1053	393	25	:	:	PUNCT
cana-1053	393	26	1	1	NUM
cana-1053	393	27	2(p	2(p	NUM
cana-1053	393	28	)	)	PUNCT
cana-1053	393	29	(	(	PUNCT
cana-1053	393	30	p)h	p)h	NOUN
cana-1053	393	31	h	h	NOUN
cana-1053	393	32	(	(	PUNCT
cana-1053	393	33	2.11	2.11	NUM
cana-1053	393	34	)	)	PUNCT
cana-1053	393	35	communications	communication	NOUN
cana-1053	393	36	on	on	ADP
cana-1053	393	37	applied	apply	VERB
cana-1053	393	38	nonlinear	nonlinear	ADJ
cana-1053	393	39	analysis	analysis	NOUN
cana-1053	393	40	issn	issn	NOUN
cana-1053	393	41	:	:	PUNCT
cana-1053	393	42	1074	1074	NUM
cana-1053	393	43	-	-	PUNCT
cana-1053	393	44	133x	133x	NUM
cana-1053	393	45	vol	vol	NOUN
cana-1053	393	46	31	31	NUM
cana-1053	393	47	no	no	NOUN
cana-1053	393	48	.	.	PUNCT
cana-1053	394	1	5s	5s	NUM
cana-1053	394	2	(	(	PUNCT
cana-1053	394	3	2024	2024	NUM
cana-1053	394	4	)	)	PUNCT
cana-1053	394	5	333	333	NUM
cana-1053	394	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	394	7	where	where	SCONJ
cana-1053	394	8	2	2	NUM
cana-1053	394	9	(	(	PUNCT
cana-1053	394	10	p)h	p)h	NOUN
cana-1053	394	11	denotes	denote	VERB
cana-1053	394	12	the	the	DET
cana-1053	394	13	renyi	renyi	PROPN
cana-1053	394	14	’s	’s	PART
cana-1053	394	15	[	[	X
cana-1053	394	16	30	30	NUM
cana-1053	394	17	]	]	X
cana-1053	394	18	entropy	entropy	NOUN
cana-1053	394	19	of	of	ADP
cana-1053	394	20	order	order	NOUN
cana-1053	394	21	2	2	NUM
cana-1053	394	22	,	,	PUNCT
cana-1053	394	23	1(p)h	1(p)h	VERB
cana-1053	394	24	the	the	DET
cana-1053	394	25	shannon	shannon	PROPN
cana-1053	394	26	’s	’s	PART
cana-1053	394	27	[	[	X
cana-1053	394	28	33	33	NUM
cana-1053	394	29	]	]	PUNCT
cana-1053	394	30	entropy	entropy	NOUN
cana-1053	394	31	and	and	CCONJ
cana-1053	394	32	(	(	PUNCT
cana-1053	394	33	2.11	2.11	NUM
cana-1053	394	34	)	)	PUNCT
cana-1053	394	35	holds	hold	VERB
cana-1053	394	36	except	except	SCONJ
cana-1053	394	37	for	for	ADP
cana-1053	394	38	the	the	DET
cana-1053	394	39	equivalence	equivalence	NOUN
cana-1053	394	40	of	of	ADP
cana-1053	394	41	ip	ip	NOUN
cana-1053	394	42	.	.	PUNCT
cana-1053	395	1	definition	definition	NOUN
cana-1053	395	2	2.8	2.8	NUM
cana-1053	395	3	.	.	PUNCT
cana-1053	396	1	a	a	DET
cana-1053	396	2	real	real	ADJ
cana-1053	396	3	number	number	NOUN
cana-1053	396	4	k	k	NOUN
cana-1053	396	5	is	be	AUX
cana-1053	396	6	said	say	VERB
cana-1053	396	7	to	to	PART
cana-1053	396	8	be	be	AUX
cana-1053	396	9	conjugate	conjugate	ADJ
cana-1053	396	10	to	to	ADP
cana-1053	396	11	a	a	DET
cana-1053	396	12	real	real	ADJ
cana-1053	396	13	number	number	NOUN
cana-1053	396	14	k	k	PROPN
cana-1053	396	15	,	,	PUNCT
cana-1053	396	16	0k	0k	PROPN
cana-1053	396	17			NOUN
cana-1053	396	18	,	,	PUNCT
cana-1053	396	19	1k	1k	NUM
cana-1053	396	20			NOUN
cana-1053	396	21	if	if	SCONJ
cana-1053	396	22	1	1	NUM
cana-1053	396	23	1	1	NUM
cana-1053	396	24	1	1	NUM
cana-1053	396	25	k	k	NOUN
cana-1053	396	26	k	k	PROPN
cana-1053	397	1	+	+	CCONJ
cana-1053	397	2	=	=	PUNCT
cana-1053	397	3			ADJ
cana-1053	397	4	.	.	PUNCT
cana-1053	397	5	result	result	VERB
cana-1053	397	6	2.9	2.9	NUM
cana-1053	397	7	(	(	PUNCT
cana-1053	397	8	holder	holder	NOUN
cana-1053	397	9	’s	’s	PART
cana-1053	397	10	inequality	inequality	NOUN
cana-1053	397	11	[	[	X
cana-1053	397	12	9	9	NUM
cana-1053	397	13	]	]	PUNCT
cana-1053	397	14	)	)	PUNCT
cana-1053	397	15	.	.	PUNCT
cana-1053	398	1	suppose	suppose	VERB
cana-1053	398	2	a	a	DET
cana-1053	398	3	real	real	ADJ
cana-1053	398	4	number	number	NOUN
cana-1053	398	5	k	k	NOUN
cana-1053	398	6	is	be	AUX
cana-1053	398	7	conjugate	conjugate	ADJ
cana-1053	398	8	to	to	ADP
cana-1053	398	9	a	a	DET
cana-1053	398	10	real	real	ADJ
cana-1053	398	11	number	number	NOUN
cana-1053	398	12	k	k	PROPN
cana-1053	398	13	,	,	PUNCT
cana-1053	398	14	0k	0k	PROPN
cana-1053	398	15			NOUN
cana-1053	398	16	,	,	PUNCT
cana-1053	398	17	1k	1k	PROPN
cana-1053	398	18			NOUN
cana-1053	398	19	.	.	PUNCT
cana-1053	399	1	with	with	ADP
cana-1053	399	2	the	the	DET
cana-1053	399	3	above	above	ADJ
cana-1053	399	4	declared	declare	VERB
cana-1053	399	5	assumptions	assumption	NOUN
cana-1053	399	6	and	and	CCONJ
cana-1053	399	7	for	for	ADP
cana-1053	399	8	2n	2n	NUM
cana-1053	399	9	integers	integer	NOUN
cana-1053	399	10	,	,	PUNCT
cana-1053	399	11	the	the	DET
cana-1053	399	12	succeeding	succeed	VERB
cana-1053	399	13	inequalities	inequality	NOUN
cana-1053	399	14	are	be	AUX
cana-1053	399	15	permanently	permanently	ADV
cana-1053	399	16	accurate	accurate	ADJ
cana-1053	399	17	:	:	PUNCT
cana-1053	400	1	1	1	NUM
cana-1053	400	2	1	1	NUM
cana-1053	400	3	1	1	NUM
cana-1053	400	4	1	1	NUM
cana-1053	400	5	1	1	NUM
cana-1053	400	6	n	n	NUM
cana-1053	400	7	n	n	NOUN
cana-1053	400	8	nk	nk	NOUN
cana-1053	400	9	k	k	PROPN
cana-1053	401	1	k	k	PROPN
cana-1053	401	2	k	k	PROPN
cana-1053	402	1	i	i	PRON
cana-1053	402	2	i	i	PRON
cana-1053	403	1	i	i	PRON
cana-1053	403	2	i	i	PRON
cana-1053	404	1	i	i	PRON
cana-1053	404	2	i	i	PRON
cana-1053	404	3	i	i	PRON
cana-1053	405	1	a	a	DET
cana-1053	405	2	b	b	NOUN
cana-1053	405	3	a	a	DET
cana-1053	405	4	b	b	NOUN
cana-1053	405	5			NOUN
cana-1053	405	6			ADJ
cana-1053	405	7	=	=	SYM
cana-1053	406	1	=	=	SYM
cana-1053	406	2	=	=	NOUN
cana-1053	406	3			NOUN
cana-1053	406	4			PROPN
cana-1053	406	5			NOUN
cana-1053	406	6			PROPN
cana-1053	406	7			PROPN
cana-1053	406	8			PROPN
cana-1053	407	1			PROPN
cana-1053	408	1			PROPN
cana-1053	408	2			PROPN
cana-1053	409	1			ADJ
cana-1053	409	2			PROPN
cana-1053	409	3			PROPN
cana-1053	409	4			NOUN
cana-1053	409	5			X
cana-1053	409	6			X
cana-1053	409	7			X
cana-1053	409	8	(	(	PUNCT
cana-1053	409	9	1)k	1)k	NUM
cana-1053	409	10			X
cana-1053	409	11	(	(	PUNCT
cana-1053	409	12	2.12	2.12	NUM
cana-1053	409	13	)	)	PUNCT
cana-1053	409	14	1	1	NUM
cana-1053	409	15	1	1	NUM
cana-1053	409	16	1	1	NUM
cana-1053	409	17	1	1	NUM
cana-1053	409	18	1	1	NUM
cana-1053	409	19	n	n	NUM
cana-1053	409	20	n	n	NOUN
cana-1053	410	1	nk	nk	NOUN
cana-1053	410	2	k	k	PROPN
cana-1053	411	1	k	k	PROPN
cana-1053	411	2	k	k	PROPN
cana-1053	412	1	i	i	PRON
cana-1053	412	2	i	i	PRON
cana-1053	413	1	i	i	PRON
cana-1053	413	2	i	i	PRON
cana-1053	414	1	i	i	PRON
cana-1053	414	2	i	i	PRON
cana-1053	414	3	i	i	PRON
cana-1053	415	1	a	a	DET
cana-1053	415	2	b	b	NOUN
cana-1053	415	3	a	a	DET
cana-1053	415	4	b	b	NOUN
cana-1053	415	5			NOUN
cana-1053	415	6			ADJ
cana-1053	415	7	=	=	SYM
cana-1053	416	1	=	=	SYM
cana-1053	416	2	=	=	NOUN
cana-1053	416	3			NOUN
cana-1053	416	4			PROPN
cana-1053	416	5			NOUN
cana-1053	416	6			NOUN
cana-1053	416	7			PROPN
cana-1053	416	8			PROPN
cana-1053	417	1			INTJ
cana-1053	418	1			PROPN
cana-1053	418	2			PROPN
cana-1053	419	1			ADJ
cana-1053	419	2			PROPN
cana-1053	419	3			PROPN
cana-1053	419	4			NOUN
cana-1053	419	5			X
cana-1053	419	6			X
cana-1053	419	7			X
cana-1053	419	8	(	(	PUNCT
cana-1053	419	9	1)k	1)k	NUM
cana-1053	419	10			PROPN
cana-1053	419	11	(	(	PUNCT
cana-1053	419	12	2.13	2.13	NUM
cana-1053	419	13	)	)	PUNCT
cana-1053	419	14	except	except	SCONJ
cana-1053	419	15	when	when	SCONJ
cana-1053	419	16	1	1	NUM
cana-1053	419	17	2	2	NUM
cana-1053	419	18	1	1	NUM
cana-1053	419	19	2	2	NUM
cana-1053	419	20	...	...	PUNCT
cana-1053	419	21	n	n	CCONJ
cana-1053	420	1	n	n	ADV
cana-1053	420	2	aa	aa	VERB
cana-1053	420	3	a	a	DET
cana-1053	420	4	b	b	PROPN
cana-1053	420	5	b	b	PROPN
cana-1053	420	6	b	b	NOUN
cana-1053	421	1	=	=	SYM
cana-1053	421	2	=	=	SYM
cana-1053	421	3	=	=	SYM
cana-1053	421	4	.	.	PUNCT
cana-1053	422	1	theorem	theorem	VERB
cana-1053	422	2	3.0	3.0	NUM
cana-1053	422	3	.	.	PUNCT
cana-1053	423	1	let	let	VERB
cana-1053	423	2	0	0	PROPN
cana-1053	423	3			X
cana-1053	423	4	,	,	PUNCT
cana-1053	423	5	1	1	PROPN
cana-1053	423	6			PROPN
cana-1053	423	7	be	be	VERB
cana-1053	423	8	a	a	DET
cana-1053	423	9	given	give	VERB
cana-1053	423	10	real	real	ADJ
cana-1053	423	11	constant	constant	ADJ
cana-1053	423	12	.	.	PUNCT
cana-1053	424	1	with	with	ADP
cana-1053	424	2	the	the	DET
cana-1053	424	3	above	above	ADJ
cana-1053	424	4	declared	declare	VERB
cana-1053	424	5	assumptions	assumption	NOUN
cana-1053	424	6	and	and	CCONJ
cana-1053	424	7	for	for	ADP
cana-1053	424	8	2n	2n	NUM
cana-1053	424	9	an	an	DET
cana-1053	424	10	integer	integer	NOUN
cana-1053	424	11	,	,	PUNCT
cana-1053	424	12	the	the	DET
cana-1053	424	13	following	follow	VERB
cana-1053	424	14	conclusions	conclusion	NOUN
cana-1053	424	15	hold	hold	VERB
cana-1053	424	16	:	:	PUNCT
cana-1053	424	17	(	(	PUNCT
cana-1053	424	18	i	i	NOUN
cana-1053	424	19	)	)	PUNCT
cana-1053	424	20	if	if	SCONJ
cana-1053	424	21	1	1	PROPN
cana-1053	424	22			VERB
cana-1053	424	23	,	,	PUNCT
cana-1053	424	24	then	then	ADV
cana-1053	424	25	the	the	DET
cana-1053	424	26	successive	successive	ADJ
cana-1053	424	27	dissimilarities	dissimilarity	NOUN
cana-1053	424	28	are	be	AUX
cana-1053	424	29	perpetually	perpetually	ADV
cana-1053	424	30	correct	correct	ADJ
cana-1053	424	31	:	:	PUNCT
cana-1053	425	1	1	1	NUM
cana-1053	425	2	1	1	NUM
cana-1053	425	3	1	1	NUM
cana-1053	425	4	1	1	NUM
cana-1053	425	5	1	1	NUM
cana-1053	425	6	1	1	NUM
cana-1053	425	7	n	n	CCONJ
cana-1053	425	8	n	n	CCONJ
cana-1053	425	9	n	n	CCONJ
cana-1053	425	10	n	n	NOUN
cana-1053	425	11	i	i	PRON
cana-1053	426	1	i	i	PRON
cana-1053	426	2	i	i	PRON
cana-1053	427	1	i	i	PRON
cana-1053	427	2	i	i	PRON
cana-1053	428	1	i	i	PRON
cana-1053	428	2	i	i	PRON
cana-1053	429	1	i	i	PRON
cana-1053	429	2	i	i	PRON
cana-1053	430	1	i	i	VERB
cana-1053	430	2	x	x	VERB
cana-1053	430	3	y	y	VERB
cana-1053	430	4	y	y	NOUN
cana-1053	430	5	x	x	PUNCT
cana-1053	430	6	x	x	SYM
cana-1053	430	7	y	y	VERB
cana-1053	430	8			X
cana-1053	430	9			X
cana-1053	430	10	−	−	X
cana-1053	430	11	−	−	PROPN
cana-1053	431	1	=	=	PUNCT
cana-1053	431	2	=	=	PUNCT
cana-1053	431	3	=	=	PUNCT
cana-1053	432	1	=	=	NOUN
cana-1053	432	2			NOUN
cana-1053	432	3			PROPN
cana-1053	432	4			PROPN
cana-1053	432	5			VERB
cana-1053	432	6			PROPN
cana-1053	432	7			PROPN
cana-1053	432	8			PUNCT
cana-1053	432	9			NOUN
cana-1053	433	1			PROPN
cana-1053	433	2			PROPN
cana-1053	433	3			NOUN
cana-1053	434	1			PROPN
cana-1053	435	1			ADJ
cana-1053	435	2			NOUN
cana-1053	435	3			NOUN
cana-1053	435	4			NOUN
cana-1053	435	5			NOUN
cana-1053	435	6			NOUN
cana-1053	435	7			X
cana-1053	435	8			X
cana-1053	435	9			X
cana-1053	435	10			X
cana-1053	435	11	(	(	PUNCT
cana-1053	435	12	2.14	2.14	NUM
cana-1053	435	13	)	)	PUNCT
cana-1053	435	14	except	except	SCONJ
cana-1053	435	15	for	for	ADP
cana-1053	435	16	the	the	DET
cana-1053	435	17	equivalence	equivalence	NOUN
cana-1053	435	18	of	of	ADP
cana-1053	435	19	i	i	PRON
cana-1053	435	20	i	i	INTJ
cana-1053	435	21	x	x	VERB
cana-1053	435	22	y	y	PROPN
cana-1053	435	23	.	.	PUNCT
cana-1053	436	1	(	(	PUNCT
cana-1053	436	2	ii	ii	NOUN
cana-1053	436	3	)	)	PUNCT
cana-1053	436	4	if	if	SCONJ
cana-1053	436	5	0	0	NUM
cana-1053	436	6	1	1	NUM
cana-1053	436	7			PROPN
cana-1053	436	8	,	,	PUNCT
cana-1053	436	9	then	then	ADV
cana-1053	436	10	the	the	DET
cana-1053	436	11	succeeding	succeed	VERB
cana-1053	436	12	inequalities	inequality	NOUN
cana-1053	436	13	are	be	AUX
cana-1053	436	14	forever	forever	ADV
cana-1053	436	15	accurate	accurate	ADJ
cana-1053	436	16	:	:	PUNCT
cana-1053	436	17	1	1	NUM
cana-1053	436	18	1	1	NUM
cana-1053	436	19	1	1	NUM
cana-1053	436	20	1	1	NUM
cana-1053	436	21	1	1	NUM
cana-1053	436	22	1	1	NUM
cana-1053	436	23	n	n	CCONJ
cana-1053	436	24	n	n	CCONJ
cana-1053	436	25	n	n	CCONJ
cana-1053	436	26	n	n	NOUN
cana-1053	437	1	i	i	PRON
cana-1053	437	2	i	i	PRON
cana-1053	438	1	i	i	PRON
cana-1053	438	2	i	i	PRON
cana-1053	439	1	i	i	PRON
cana-1053	439	2	i	i	PRON
cana-1053	440	1	i	i	PRON
cana-1053	440	2	i	i	PRON
cana-1053	441	1	i	i	PRON
cana-1053	441	2	i	i	VERB
cana-1053	441	3	x	x	VERB
cana-1053	441	4	y	y	VERB
cana-1053	441	5	y	y	NOUN
cana-1053	441	6	x	x	PUNCT
cana-1053	441	7	x	x	SYM
cana-1053	441	8	y	y	VERB
cana-1053	441	9			X
cana-1053	441	10			X
cana-1053	441	11	−	−	X
cana-1053	441	12	−	−	PROPN
cana-1053	442	1	=	=	PUNCT
cana-1053	442	2	=	=	PUNCT
cana-1053	442	3	=	=	PUNCT
cana-1053	442	4	=	=	NOUN
cana-1053	442	5			NOUN
cana-1053	442	6			PROPN
cana-1053	442	7			PROPN
cana-1053	442	8			VERB
cana-1053	442	9			PROPN
cana-1053	442	10			PROPN
cana-1053	442	11			PROPN
cana-1053	442	12			NOUN
cana-1053	443	1			PROPN
cana-1053	443	2			PROPN
cana-1053	443	3			NOUN
cana-1053	444	1			PROPN
cana-1053	445	1			ADJ
cana-1053	445	2			NOUN
cana-1053	445	3			NOUN
cana-1053	445	4			NOUN
cana-1053	445	5			NOUN
cana-1053	445	6			NOUN
cana-1053	445	7			X
cana-1053	445	8			X
cana-1053	445	9			X
cana-1053	445	10			X
cana-1053	445	11	(	(	PUNCT
cana-1053	445	12	2.15	2.15	NUM
cana-1053	445	13	)	)	PUNCT
cana-1053	445	14	except	except	SCONJ
cana-1053	445	15	for	for	ADP
cana-1053	445	16	the	the	DET
cana-1053	445	17	equivalence	equivalence	NOUN
cana-1053	445	18	of	of	ADP
cana-1053	445	19	i	i	PRON
cana-1053	445	20	i	i	INTJ
cana-1053	445	21	x	x	VERB
cana-1053	445	22	y	y	NOUN
cana-1053	445	23	..	..	PUNCT
cana-1053	445	24	proof	proof	NOUN
cana-1053	445	25	.	.	PUNCT
cana-1053	446	1	let	let	VERB
cana-1053	446	2	1	1	PROPN
cana-1053	446	3			VERB
cana-1053	446	4	.	.	PUNCT
cana-1053	447	1	by	by	ADP
cana-1053	447	2	result	result	NOUN
cana-1053	447	3	2.9	2.9	NUM
cana-1053	447	4	,	,	PUNCT
cana-1053	447	5	we	we	PRON
cana-1053	447	6	acquire	acquire	VERB
cana-1053	447	7	the	the	DET
cana-1053	447	8	succeeding	succeed	VERB
cana-1053	447	9	communication	communication	NOUN
cana-1053	447	10	:	:	PUNCT
cana-1053	447	11	communications	communication	NOUN
cana-1053	447	12	on	on	ADP
cana-1053	447	13	applied	apply	VERB
cana-1053	447	14	nonlinear	nonlinear	ADJ
cana-1053	447	15	analysis	analysis	NOUN
cana-1053	447	16	issn	issn	NOUN
cana-1053	447	17	:	:	PUNCT
cana-1053	447	18	1074	1074	NUM
cana-1053	447	19	-	-	PUNCT
cana-1053	447	20	133x	133x	NUM
cana-1053	447	21	vol	vol	NOUN
cana-1053	447	22	31	31	NUM
cana-1053	447	23	no	no	NOUN
cana-1053	447	24	.	.	PUNCT
cana-1053	448	1	5s	5s	NUM
cana-1053	448	2	(	(	PUNCT
cana-1053	448	3	2024	2024	NUM
cana-1053	448	4	)	)	PUNCT
cana-1053	448	5	334	334	NUM
cana-1053	448	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-1053	448	7	1	1	NUM
cana-1053	448	8	1	1	NUM
cana-1053	448	9	1	1	NUM
cana-1053	448	10	1	1	NUM
cana-1053	448	11	1	1	NUM
cana-1053	448	12	1	1	NUM
cana-1053	448	13	1	1	NUM
cana-1053	448	14	1	1	NUM
cana-1053	448	15	1	1	NUM
cana-1053	448	16	1	1	NUM
cana-1053	448	17	1	1	NUM
cana-1053	448	18	1	1	NUM
cana-1053	448	19	(	(	PUNCT
cana-1053	448	20	i	i	NOUN
cana-1053	448	21	)	)	PUNCT
cana-1053	448	22	(	(	PUNCT
cana-1053	448	23	ii	ii	NOUN
cana-1053	448	24	)	)	PUNCT
cana-1053	448	25	n	n	CCONJ
cana-1053	448	26	n	n	CCONJ
cana-1053	448	27	n	n	NOUN
cana-1053	448	28	i	i	PRON
cana-1053	449	1	i	i	PRON
cana-1053	449	2	i	i	PRON
cana-1053	450	1	i	i	PRON
cana-1053	450	2	i	i	PRON
cana-1053	451	1	i	i	VERB
cana-1053	451	2	i	i	VERB
cana-1053	451	3	n	n	VERB
cana-1053	451	4	n	n	CCONJ
cana-1053	451	5	n	n	NOUN
cana-1053	452	1	i	i	PRON
cana-1053	452	2	i	i	PRON
cana-1053	453	1	i	i	PRON
cana-1053	453	2	i	i	PRON
cana-1053	454	1	i	i	PRON
cana-1053	454	2	i	i	PRON
cana-1053	455	1	i	i	VERB
cana-1053	455	2	x	x	VERB
cana-1053	456	1	y	y	VERB
cana-1053	456	2	x	x	X
cana-1053	456	3	y	y	NOUN
cana-1053	456	4	y	y	PROPN
cana-1053	456	5	x	x	SYM
cana-1053	456	6	y	y	NOUN
cana-1053	456	7	x	x	X
cana-1053	456	8			X
cana-1053	456	9			X
cana-1053	456	10			X
cana-1053	456	11			X
cana-1053	456	12			X
cana-1053	456	13			X
cana-1053	456	14			X
cana-1053	456	15			X
cana-1053	456	16			X
cana-1053	456	17			X
cana-1053	456	18			X
cana-1053	456	19			X
cana-1053	456	20	−	−	NOUN
cana-1053	456	21	−	−	PROPN
cana-1053	456	22	=	=	SYM
cana-1053	456	23	=	=	PUNCT
cana-1053	456	24	=	=	PUNCT
cana-1053	457	1	−	−	NOUN
cana-1053	457	2	−	−	NOUN
cana-1053	458	1	=	=	SYM
cana-1053	458	2	=	=	PUNCT
cana-1053	458	3	=	=	SYM
cana-1053	459	1			PROPN
cana-1053	459	2			NOUN
cana-1053	459	3			NOUN
cana-1053	459	4			NOUN
cana-1053	459	5			PROPN
cana-1053	459	6			X
cana-1053	459	7			PROPN
cana-1053	459	8			PROPN
cana-1053	460	1			PROPN
cana-1053	461	1			PROPN
cana-1053	461	2			PROPN
cana-1053	461	3			NUM
cana-1053	461	4			PROPN
cana-1053	461	5			NOUN
cana-1053	461	6			PROPN
cana-1053	461	7			NOUN
cana-1053	461	8			NUM
cana-1053	461	9			NUM
cana-1053	461	10			PROPN
cana-1053	461	11			NUM
cana-1053	461	12			NUM
cana-1053	461	13			PROPN
cana-1053	461	14			NOUN
cana-1053	461	15			NOUN
cana-1053	462	1			PROPN
cana-1053	462	2			PROPN
cana-1053	462	3			PROPN
cana-1053	463	1			PROPN
cana-1053	463	2			PROPN
cana-1053	463	3			NOUN
cana-1053	463	4			NOUN
cana-1053	463	5			PROPN
cana-1053	463	6			NOUN
cana-1053	463	7			X
cana-1053	463	8			X
cana-1053	463	9			X
cana-1053	463	10			X
cana-1053	463	11			X
cana-1053	463	12			X
cana-1053	463	13			X
cana-1053	463	14	(	(	PUNCT
cana-1053	463	15	2.16	2.16	NUM
cana-1053	463	16	)	)	PUNCT
cana-1053	463	17	except	except	SCONJ
cana-1053	463	18	for	for	ADP
cana-1053	463	19	the	the	DET
cana-1053	463	20	equivalence	equivalence	NOUN
cana-1053	463	21	of	of	ADP
cana-1053	463	22	i	i	PRON
cana-1053	463	23	i	i	INTJ
cana-1053	463	24	x	x	VERB
cana-1053	463	25	y	y	NOUN
cana-1053	463	26	.	.	PUNCT
cana-1053	464	1	the	the	DET
cana-1053	464	2	inequality	inequality	NOUN
cana-1053	464	3	(	(	PUNCT
cana-1053	464	4	2.14	2.14	NUM
cana-1053	464	5	)	)	PUNCT
cana-1053	464	6	follows	follow	VERB
cana-1053	464	7	from	from	ADP
cana-1053	464	8	(	(	PUNCT
cana-1053	464	9	2.16	2.16	NUM
cana-1053	464	10	)	)	PUNCT
cana-1053	464	11	(	(	PUNCT
cana-1053	464	12	i	i	NOUN
cana-1053	464	13	)	)	PUNCT
cana-1053	464	14	and	and	CCONJ
cana-1053	464	15	(	(	PUNCT
cana-1053	464	16	ii	ii	NOUN
cana-1053	464	17	)	)	PUNCT
cana-1053	464	18	.	.	PUNCT
cana-1053	465	1	now	now	ADV
cana-1053	465	2	,	,	PUNCT
cana-1053	465	3	consider	consider	VERB
cana-1053	465	4	the	the	DET
cana-1053	465	5	case	case	NOUN
cana-1053	465	6	when	when	SCONJ
cana-1053	465	7	0	0	NUM
cana-1053	465	8	1	1	NUM
cana-1053	465	9			PROPN
cana-1053	465	10	.	.	PUNCT
cana-1053	466	1	in	in	ADP
cana-1053	466	2	this	this	DET
cana-1053	466	3	case	case	NOUN
cana-1053	466	4	,	,	PUNCT
cana-1053	466	5	1	1	NUM
cana-1053	466	6	0	0	PROPN
cana-1053	466	7	−	−	PROPN
cana-1053	466	8			PROPN
cana-1053	466	9	.	.	PUNCT
cana-1053	467	1	now	now	ADV
cana-1053	467	2	,	,	PUNCT
cana-1053	467	3	by	by	ADP
cana-1053	467	4	result	result	NOUN
cana-1053	467	5	(	(	PUNCT
cana-1053	467	6	2.9	2.9	NUM
cana-1053	467	7	)	)	SYM
cana-1053	467	8	1	1	NUM
cana-1053	467	9	1	1	NUM
cana-1053	467	10	1	1	NUM
cana-1053	467	11	1	1	NUM
cana-1053	467	12	1	1	NUM
cana-1053	467	13	1	1	NUM
cana-1053	467	14	1	1	NUM
cana-1053	467	15	1	1	NUM
cana-1053	467	16	1	1	NUM
cana-1053	467	17	1	1	NUM
cana-1053	467	18	1	1	NUM
cana-1053	467	19	1	1	NUM
cana-1053	467	20	(	(	PUNCT
cana-1053	467	21	i	i	NOUN
cana-1053	467	22	)	)	PUNCT
cana-1053	467	23	(	(	PUNCT
cana-1053	467	24	ii	ii	NOUN
cana-1053	467	25	)	)	PUNCT
cana-1053	467	26	n	n	CCONJ
cana-1053	467	27	n	n	CCONJ
cana-1053	467	28	n	n	NOUN
cana-1053	468	1	i	i	PRON
cana-1053	468	2	i	i	PRON
cana-1053	469	1	i	i	PRON
cana-1053	469	2	i	i	PRON
cana-1053	470	1	i	i	PRON
cana-1053	470	2	i	i	VERB
cana-1053	471	1	i	i	VERB
cana-1053	471	2	n	n	VERB
cana-1053	471	3	n	n	CCONJ
cana-1053	471	4	n	n	NOUN
cana-1053	472	1	i	i	PRON
cana-1053	472	2	i	i	PRON
cana-1053	473	1	i	i	PRON
cana-1053	473	2	i	i	PRON
cana-1053	474	1	i	i	PRON
cana-1053	474	2	i	i	PRON
cana-1053	475	1	i	i	VERB
cana-1053	475	2	x	x	VERB
cana-1053	476	1	y	y	VERB
cana-1053	476	2	x	x	X
cana-1053	476	3	y	y	NOUN
cana-1053	476	4	y	y	PROPN
cana-1053	476	5	x	x	SYM
cana-1053	476	6	y	y	NOUN
cana-1053	476	7	x	x	X
cana-1053	476	8			X
cana-1053	476	9			X
cana-1053	476	10			X
cana-1053	476	11			X
cana-1053	476	12			X
cana-1053	476	13			X
cana-1053	476	14			X
cana-1053	476	15			X
cana-1053	476	16			X
cana-1053	476	17			X
cana-1053	476	18			X
cana-1053	476	19			X
cana-1053	476	20	−	−	NOUN
cana-1053	476	21	−	−	PROPN
cana-1053	476	22	=	=	SYM
cana-1053	476	23	=	=	PUNCT
cana-1053	476	24	=	=	PUNCT
cana-1053	477	1	−	−	NOUN
cana-1053	477	2	−	−	NOUN
cana-1053	478	1	=	=	SYM
cana-1053	478	2	=	=	PUNCT
cana-1053	478	3	=	=	SYM
cana-1053	479	1			PROPN
cana-1053	479	2			NOUN
cana-1053	479	3			NOUN
cana-1053	479	4			NOUN
cana-1053	479	5			PROPN
cana-1053	479	6			PRON
cana-1053	479	7			PROPN
cana-1053	479	8			PROPN
cana-1053	479	9			INTJ
cana-1053	480	1			PROPN
cana-1053	481	1			PROPN
cana-1053	481	2			NUM
cana-1053	481	3			PROPN
cana-1053	481	4			NOUN
cana-1053	481	5			PROPN
cana-1053	481	6			NOUN
cana-1053	481	7			NUM
cana-1053	481	8			NOUN
cana-1053	481	9			NUM
cana-1053	481	10			NOUN
cana-1053	481	11			PROPN
cana-1053	481	12			NOUN
cana-1053	481	13			NOUN
cana-1053	481	14			VERB
cana-1053	481	15			PROPN
cana-1053	482	1			PROPN
cana-1053	482	2			PROPN
cana-1053	483	1			PROPN
cana-1053	484	1			NOUN
cana-1053	484	2			NOUN
cana-1053	484	3			PROPN
cana-1053	484	4			NOUN
cana-1053	484	5			X
cana-1053	484	6			X
cana-1053	484	7			X
cana-1053	484	8			X
cana-1053	484	9			X
cana-1053	484	10			X
cana-1053	484	11			X
cana-1053	484	12	(	(	PUNCT
cana-1053	484	13	2.17	2.17	NUM
cana-1053	484	14	)	)	PUNCT
cana-1053	484	15	except	except	SCONJ
cana-1053	484	16	for	for	ADP
cana-1053	484	17	the	the	DET
cana-1053	484	18	equivalence	equivalence	NOUN
cana-1053	484	19	of	of	ADP
cana-1053	484	20	i	i	PRON
cana-1053	484	21	i	i	INTJ
cana-1053	484	22	x	x	VERB
cana-1053	484	23	y	y	NOUN
cana-1053	484	24	.	.	PUNCT
cana-1053	485	1	the	the	DET
cana-1053	485	2	inequality	inequality	NOUN
cana-1053	485	3	(	(	PUNCT
cana-1053	485	4	2.15	2.15	NUM
cana-1053	485	5	)	)	PUNCT
cana-1053	485	6	follows	follow	VERB
cana-1053	485	7	from	from	ADP
cana-1053	485	8	(	(	PUNCT
cana-1053	485	9	2.17	2.17	NUM
cana-1053	485	10	)	)	PUNCT
cana-1053	485	11	(	(	PUNCT
cana-1053	485	12	i	i	NOUN
cana-1053	485	13	)	)	PUNCT
cana-1053	485	14	and	and	CCONJ
cana-1053	485	15	(	(	PUNCT
cana-1053	485	16	ii	ii	NOUN
cana-1053	485	17	)	)	PUNCT
cana-1053	485	18	.	.	PUNCT
cana-1053	486	1	lemma	lemma	PROPN
cana-1053	486	2	3.1	3.1	NUM
cana-1053	486	3	.	.	PUNCT
cana-1053	487	1	let	let	VERB
cana-1053	487	2	0	0	PROPN
cana-1053	487	3			X
cana-1053	487	4	,	,	PUNCT
cana-1053	487	5	1	1	PROPN
cana-1053	487	6			PROPN
cana-1053	487	7	be	be	VERB
cana-1053	487	8	a	a	DET
cana-1053	487	9	given	give	VERB
cana-1053	487	10	real	real	ADJ
cana-1053	487	11	constant	constant	ADJ
cana-1053	487	12	.	.	PUNCT
cana-1053	488	1	with	with	ADP
cana-1053	488	2	the	the	DET
cana-1053	488	3	above	above	ADV
cana-1053	488	4	acknowledged	acknowledge	VERB
cana-1053	488	5	conventions	convention	NOUN
cana-1053	488	6	and	and	CCONJ
cana-1053	488	7	for	for	ADP
cana-1053	488	8	2n	2n	NUM
cana-1053	488	9	,	,	PUNCT
cana-1053	488	10	if	if	SCONJ
cana-1053	488	11	1	1	NUM
cana-1053	488	12	1	1	NUM
cana-1053	488	13	n	n	NUM
cana-1053	488	14	n	n	NOUN
cana-1053	488	15	i	i	PRON
cana-1053	489	1	i	i	PRON
cana-1053	489	2	i	i	PRON
cana-1053	490	1	i	i	VERB
cana-1053	490	2	y	y	PROPN
cana-1053	490	3	x	x	NOUN
cana-1053	490	4			X
cana-1053	490	5	=	=	PUNCT
cana-1053	490	6	=	=	SYM
cana-1053	490	7			PROPN
cana-1053	490	8			X
cana-1053	490	9	,	,	PUNCT
cana-1053	490	10	(	(	PUNCT
cana-1053	490	11	2.18	2.18	NUM
cana-1053	490	12	)	)	PUNCT
cana-1053	490	13	then	then	ADV
cana-1053	490	14	the	the	DET
cana-1053	490	15	following	follow	VERB
cana-1053	490	16	conclusions	conclusion	NOUN
cana-1053	490	17	hold	hold	VERB
cana-1053	490	18	good	good	ADJ
cana-1053	490	19	:	:	PUNCT
cana-1053	490	20	(	(	PUNCT
cana-1053	490	21	i	i	NOUN
cana-1053	490	22	)	)	PUNCT
cana-1053	490	23	if	if	SCONJ
cana-1053	490	24	1	1	PROPN
cana-1053	490	25			VERB
cana-1053	490	26	,	,	PUNCT
cana-1053	490	27	then	then	ADV
cana-1053	490	28	the	the	DET
cana-1053	490	29	subsequent	subsequent	ADJ
cana-1053	490	30	inequalities	inequality	NOUN
cana-1053	490	31	are	be	AUX
cana-1053	490	32	forever	forever	ADV
cana-1053	490	33	correct	correct	ADJ
cana-1053	490	34	:	:	PUNCT
cana-1053	491	1	1	1	NUM
cana-1053	491	2	1	1	NUM
cana-1053	491	3	1	1	NUM
cana-1053	491	4	n	n	NUM
cana-1053	491	5	n	n	NOUN
cana-1053	491	6	i	i	PRON
cana-1053	491	7	i	i	PRON
cana-1053	492	1	i	i	PRON
cana-1053	492	2	i	i	PRON
cana-1053	493	1	i	i	VERB
cana-1053	493	2	x	x	VERB
cana-1053	493	3	y	y	PROPN
cana-1053	493	4	x	x	PROPN
cana-1053	493	5	−	−	X
cana-1053	494	1	=	=	PUNCT
cana-1053	494	2	=	=	SYM
cana-1053	494	3			PROPN
cana-1053	494	4			X
cana-1053	494	5	(	(	PUNCT
cana-1053	494	6	2.19	2.19	NUM
cana-1053	494	7	)	)	PUNCT
cana-1053	494	8	(	(	PUNCT
cana-1053	494	9	ii	ii	NOUN
cana-1053	494	10	)	)	PUNCT
cana-1053	494	11	if	if	SCONJ
cana-1053	494	12	0	0	NUM
cana-1053	494	13	1	1	NUM
cana-1053	494	14			PROPN
cana-1053	494	15	,	,	PUNCT
cana-1053	494	16	then	then	ADV
cana-1053	494	17	the	the	DET
cana-1053	494	18	succeeding	succeed	VERB
cana-1053	494	19	inequalities	inequality	NOUN
cana-1053	494	20	are	be	AUX
cana-1053	494	21	persistently	persistently	ADV
cana-1053	494	22	accurate	accurate	ADJ
cana-1053	494	23	:	:	PUNCT
cana-1053	494	24	1	1	NUM
cana-1053	494	25	1	1	NUM
cana-1053	494	26	1	1	NUM
cana-1053	494	27	n	n	NUM
cana-1053	494	28	n	n	NOUN
cana-1053	495	1	i	i	PRON
cana-1053	495	2	i	i	PRON
cana-1053	496	1	i	i	PRON
cana-1053	496	2	i	i	PRON
cana-1053	497	1	i	i	VERB
cana-1053	497	2	x	x	VERB
cana-1053	497	3	y	y	PROPN
cana-1053	497	4	x	x	PROPN
cana-1053	497	5	−	−	X
cana-1053	498	1	=	=	PUNCT
cana-1053	498	2	=	=	PUNCT
cana-1053	498	3			X
cana-1053	498	4			X
cana-1053	498	5	.	.	PUNCT
cana-1053	499	1	(	(	PUNCT
cana-1053	499	2	2.20	2.20	NUM
cana-1053	499	3	)	)	PUNCT
cana-1053	499	4	proof	proof	NOUN
cana-1053	499	5	.	.	PUNCT
cana-1053	500	1	if	if	SCONJ
cana-1053	500	2	1	1	PROPN
cana-1053	500	3			VERB
cana-1053	500	4	,	,	PUNCT
cana-1053	500	5	then	then	ADV
cana-1053	500	6	(	(	PUNCT
cana-1053	500	7	2.19	2.19	NUM
cana-1053	500	8	)	)	PUNCT
cana-1053	500	9	follows	follow	VERB
cana-1053	500	10	from	from	ADP
cana-1053	500	11	(	(	PUNCT
cana-1053	500	12	2.16	2.16	NUM
cana-1053	500	13	)	)	PUNCT
cana-1053	500	14	(	(	PUNCT
cana-1053	500	15	i	i	NOUN
cana-1053	500	16	)	)	PUNCT
cana-1053	500	17	and	and	CCONJ
cana-1053	500	18	(	(	PUNCT
cana-1053	500	19	2.18	2.18	NUM
cana-1053	500	20	)	)	PUNCT
cana-1053	500	21	.	.	PUNCT
cana-1053	501	1	if	if	SCONJ
cana-1053	501	2	0	0	NUM
cana-1053	501	3	1	1	NUM
cana-1053	501	4			PROPN
cana-1053	501	5	,	,	PUNCT
cana-1053	501	6	then	then	ADV
cana-1053	501	7	(	(	PUNCT
cana-1053	501	8	2.20	2.20	NUM
cana-1053	501	9	)	)	PUNCT
cana-1053	501	10	follows	follow	VERB
cana-1053	501	11	from	from	ADP
cana-1053	501	12	(	(	PUNCT
cana-1053	501	13	2.17	2.17	NUM
cana-1053	501	14	)	)	PUNCT
cana-1053	501	15	(	(	PUNCT
cana-1053	501	16	i	i	NOUN
cana-1053	501	17	)	)	PUNCT
cana-1053	501	18	and	and	CCONJ
cana-1053	501	19	(	(	PUNCT
cana-1053	501	20	2.18	2.18	NUM
cana-1053	501	21	)	)	PUNCT
cana-1053	501	22	by	by	ADP
cana-1053	501	23	means	mean	NOUN
cana-1053	501	24	of	of	ADP
cana-1053	501	25	the	the	DET
cana-1053	501	26	fact	fact	NOUN
cana-1053	501	27	that	that	SCONJ
cana-1053	501	28	1	1	NUM
cana-1053	501	29	0	0	ADJ
cana-1053	501	30	−	−	PROPN
cana-1053	501	31			PROPN
cana-1053	501	32	.	.	PUNCT
cana-1053	502	1	if	if	SCONJ
cana-1053	502	2	(	(	PUNCT
cana-1053	502	3	2.18	2.18	NUM
cana-1053	502	4	)	)	PUNCT
cana-1053	502	5	is	be	AUX
cana-1053	502	6	replaced	replace	VERB
cana-1053	502	7	by	by	ADP
cana-1053	502	8	the	the	DET
cana-1053	502	9	subsequent	subsequent	ADJ
cana-1053	502	10	inequality	inequality	NOUN
cana-1053	502	11	1	1	NUM
cana-1053	502	12	1	1	NUM
cana-1053	502	13	n	n	NUM
cana-1053	502	14	n	n	NOUN
cana-1053	502	15	i	i	PRON
cana-1053	503	1	i	i	PRON
cana-1053	503	2	i	i	PRON
cana-1053	504	1	i	i	VERB
cana-1053	504	2	x	x	SYM
cana-1053	504	3	y	y	PROPN
cana-1053	504	4			NOUN
cana-1053	504	5	=	=	SYM
cana-1053	504	6	=	=	SYM
cana-1053	504	7			PROPN
cana-1053	504	8			X
cana-1053	504	9	(	(	PUNCT
cana-1053	504	10	2.21	2.21	NUM
cana-1053	504	11	)	)	PUNCT
cana-1053	504	12	communications	communication	NOUN
cana-1053	504	13	on	on	ADP
cana-1053	504	14	applied	apply	VERB
cana-1053	504	15	nonlinear	nonlinear	ADJ
cana-1053	504	16	analysis	analysis	NOUN
cana-1053	504	17	issn	issn	NOUN
cana-1053	504	18	:	:	PUNCT
cana-1053	504	19	1074	1074	NUM
cana-1053	504	20	-	-	PUNCT
cana-1053	504	21	133x	133x	NUM
cana-1053	504	22	vol	vol	NOUN
cana-1053	504	23	31	31	NUM
cana-1053	504	24	no	no	NOUN
cana-1053	504	25	.	.	PUNCT
cana-1053	505	1	5s	5s	NUM
cana-1053	505	2	(	(	PUNCT
cana-1053	505	3	2024	2024	NUM
cana-1053	505	4	)	)	PUNCT
cana-1053	505	5	335	335	NUM
cana-1053	505	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	505	7	and	and	CCONJ
cana-1053	505	8	0	0	PROPN
cana-1053	505	9			X
cana-1053	505	10	,	,	PUNCT
cana-1053	505	11	1	1	PROPN
cana-1053	505	12			PROPN
cana-1053	505	13	is	be	AUX
cana-1053	505	14	a	a	DET
cana-1053	505	15	real	real	ADV
cana-1053	505	16	constant	constant	ADJ
cana-1053	505	17	,	,	PUNCT
cana-1053	505	18	then	then	ADV
cana-1053	505	19	with	with	ADP
cana-1053	505	20	the	the	DET
cana-1053	505	21	above	above	ADV
cana-1053	505	22	acknowledged	acknowledge	VERB
cana-1053	505	23	conventions	convention	NOUN
cana-1053	505	24	and	and	CCONJ
cana-1053	505	25	for	for	ADP
cana-1053	505	26	2n	2n	NUM
cana-1053	505	27	,	,	PUNCT
cana-1053	505	28	the	the	DET
cana-1053	505	29	succeeding	succeed	VERB
cana-1053	505	30	inequalities	inequality	NOUN
cana-1053	505	31	are	be	AUX
cana-1053	505	32	determinedly	determinedly	ADV
cana-1053	505	33	truthful	truthful	ADJ
cana-1053	505	34	:	:	PUNCT
cana-1053	505	35	1	1	NUM
cana-1053	505	36	1	1	NUM
cana-1053	505	37	1	1	NUM
cana-1053	505	38	n	n	NUM
cana-1053	505	39	n	n	NOUN
cana-1053	506	1	i	i	PRON
cana-1053	507	1	i	i	PRON
cana-1053	508	1	i	i	PRON
cana-1053	509	1	i	i	PRON
cana-1053	510	1	i	i	VERB
cana-1053	510	2	x	x	VERB
cana-1053	510	3	y	y	PROPN
cana-1053	510	4	y	y	PROPN
cana-1053	510	5	−	−	X
cana-1053	510	6	=	=	PUNCT
cana-1053	510	7	=	=	SYM
cana-1053	510	8			PROPN
cana-1053	510	9			NOUN
cana-1053	510	10	if	if	SCONJ
cana-1053	510	11	1	1	PROPN
cana-1053	510	12			VERB
cana-1053	510	13	and	and	CCONJ
cana-1053	510	14	(	(	PUNCT
cana-1053	510	15	2.22	2.22	NUM
cana-1053	510	16	)	)	PUNCT
cana-1053	510	17	1	1	NUM
cana-1053	510	18	1	1	NUM
cana-1053	510	19	1	1	NUM
cana-1053	510	20	n	n	NUM
cana-1053	510	21	n	n	NOUN
cana-1053	511	1	i	i	PRON
cana-1053	511	2	i	i	PRON
cana-1053	512	1	i	i	PRON
cana-1053	512	2	i	i	PRON
cana-1053	513	1	i	i	VERB
cana-1053	513	2	y	y	VERB
cana-1053	513	3	x	x	SYM
cana-1053	513	4	x	x	NOUN
cana-1053	513	5	−	−	X
cana-1053	514	1	=	=	PUNCT
cana-1053	514	2	=	=	PUNCT
cana-1053	514	3			NOUN
cana-1053	514	4			X
cana-1053	514	5	if	if	SCONJ
cana-1053	514	6	0	0	NUM
cana-1053	514	7	1	1	NUM
cana-1053	514	8			PROPN
cana-1053	514	9	.	.	PUNCT
cana-1053	515	1	(	(	PUNCT
cana-1053	515	2	2.23	2.23	NUM
cana-1053	515	3	)	)	PUNCT
cana-1053	515	4	the	the	DET
cana-1053	515	5	inequality	inequality	NOUN
cana-1053	515	6	(	(	PUNCT
cana-1053	515	7	2.22	2.22	NUM
cana-1053	515	8	)	)	PUNCT
cana-1053	515	9	follows	follow	VERB
cana-1053	515	10	from	from	ADP
cana-1053	515	11	(	(	PUNCT
cana-1053	515	12	2.16	2.16	NUM
cana-1053	515	13	)	)	PUNCT
cana-1053	515	14	(	(	PUNCT
cana-1053	515	15	i	i	NOUN
cana-1053	515	16	)	)	PUNCT
cana-1053	515	17	and	and	CCONJ
cana-1053	515	18	(	(	PUNCT
cana-1053	515	19	2.21	2.21	NUM
cana-1053	515	20	)	)	PUNCT
cana-1053	515	21	in	in	ADP
cana-1053	515	22	the	the	DET
cana-1053	515	23	case	case	NOUN
cana-1053	515	24	when	when	SCONJ
cana-1053	515	25	1	1	PROPN
cana-1053	515	26			VERB
cana-1053	515	27	.	.	PUNCT
cana-1053	516	1	if	if	SCONJ
cana-1053	516	2	0	0	NUM
cana-1053	516	3	1	1	NUM
cana-1053	516	4			PROPN
cana-1053	516	5	,	,	PUNCT
cana-1053	516	6	then	then	ADV
cana-1053	516	7	by	by	ADP
cana-1053	516	8	result	result	NOUN
cana-1053	516	9	2.9	2.9	NUM
cana-1053	516	10	,	,	PUNCT
cana-1053	516	11	we	we	PRON
cana-1053	516	12	acquire	acquire	VERB
cana-1053	516	13	the	the	DET
cana-1053	516	14	subsequent	subsequent	ADJ
cana-1053	516	15	inequation	inequation	NOUN
cana-1053	516	16	:	:	PUNCT
cana-1053	517	1	1	1	NUM
cana-1053	517	2	1	1	NUM
cana-1053	517	3	1	1	NUM
cana-1053	517	4	1	1	NUM
cana-1053	517	5	1	1	NUM
cana-1053	517	6	1	1	NUM
cana-1053	517	7	n	n	NUM
cana-1053	517	8	n	n	CCONJ
cana-1053	517	9	n	n	NOUN
cana-1053	517	10	i	i	PRON
cana-1053	517	11	i	i	PRON
cana-1053	518	1	i	i	PRON
cana-1053	518	2	i	i	PRON
cana-1053	519	1	i	i	PRON
cana-1053	519	2	i	i	PRON
cana-1053	520	1	i	i	VERB
cana-1053	521	1	y	y	VERB
cana-1053	521	2	x	x	VERB
cana-1053	521	3	y	y	NOUN
cana-1053	521	4	x	x	X
cana-1053	521	5			X
cana-1053	521	6			X
cana-1053	521	7			X
cana-1053	521	8			X
cana-1053	521	9			X
cana-1053	521	10			X
cana-1053	521	11	−	−	NOUN
cana-1053	521	12	−	−	PROPN
cana-1053	521	13	=	=	SYM
cana-1053	522	1	=	=	SYM
cana-1053	522	2	=	=	NOUN
cana-1053	522	3			NOUN
cana-1053	522	4			PROPN
cana-1053	522	5			NOUN
cana-1053	522	6			NOUN
cana-1053	522	7			PROPN
cana-1053	522	8			PROPN
cana-1053	523	1			INTJ
cana-1053	524	1			PROPN
cana-1053	524	2			PROPN
cana-1053	525	1			ADJ
cana-1053	525	2			PROPN
cana-1053	525	3			PROPN
cana-1053	525	4			NOUN
cana-1053	525	5			X
cana-1053	525	6			X
cana-1053	525	7			X
cana-1053	525	8	.	.	PUNCT
cana-1053	526	1	(	(	PUNCT
cana-1053	526	2	2.24	2.24	NUM
cana-1053	526	3	)	)	PUNCT
cana-1053	526	4	the	the	DET
cana-1053	526	5	inequality	inequality	NOUN
cana-1053	526	6	(	(	PUNCT
cana-1053	526	7	2.23	2.23	NUM
cana-1053	526	8	)	)	PUNCT
cana-1053	526	9	follows	follow	VERB
cana-1053	526	10	from	from	ADP
cana-1053	526	11	(	(	PUNCT
cana-1053	526	12	2.21	2.21	NUM
cana-1053	526	13	)	)	PUNCT
cana-1053	526	14	and	and	CCONJ
cana-1053	526	15	(	(	PUNCT
cana-1053	526	16	2.24	2.24	NUM
cana-1053	526	17	)	)	PUNCT
cana-1053	526	18	.	.	PUNCT
cana-1053	527	1	consider	consider	VERB
cana-1053	527	2	2	2	NUM
cana-1053	527	3	,	,	PUNCT
cana-1053	527	4	2n	2n	ADJ
cana-1053	527	5	=	=	ADJ
cana-1053	527	6	=	=	SYM
cana-1053	527	7	and	and	CCONJ
cana-1053	527	8	1	1	NUM
cana-1053	527	9	22	22	NUM
cana-1053	527	10	,	,	PUNCT
cana-1053	527	11	3x	3x	NUM
cana-1053	527	12	x=	x=	PUNCT
cana-1053	528	1	=	=	SYM
cana-1053	528	2	;	;	PUNCT
cana-1053	528	3	1	1	NUM
cana-1053	528	4	23	23	NUM
cana-1053	528	5	,	,	PUNCT
cana-1053	528	6	2y	2y	NUM
cana-1053	528	7	y=	y=	PRON
cana-1053	529	1	=	=	PUNCT
cana-1053	529	2	.	.	PUNCT
cana-1053	530	1	then	then	ADV
cana-1053	530	2	2	2	NUM
cana-1053	530	3	2	2	NUM
cana-1053	530	4	2	2	NUM
cana-1053	530	5	2	2	NUM
cana-1053	530	6	1	1	NUM
cana-1053	530	7	2	2	NUM
cana-1053	530	8	1	1	NUM
cana-1053	530	9	213x	213x	NUM
cana-1053	530	10	x	x	SYM
cana-1053	530	11	y	y	NOUN
cana-1053	530	12	y+	y+	NUM
cana-1053	530	13	=	=	PUNCT
cana-1053	530	14	=	=	PUNCT
cana-1053	531	1	+	+	PUNCT
cana-1053	531	2	and	and	CCONJ
cana-1053	531	3	1	1	NUM
cana-1053	531	4	1	1	NUM
cana-1053	531	5	2	2	NUM
cana-1053	531	6	2	2	NUM
cana-1053	531	7	12y	12y	NOUN
cana-1053	531	8	x	x	PUNCT
cana-1053	531	9	y	y	NOUN
cana-1053	531	10	x+	x+	PROPN
cana-1053	531	11	=	=	X
cana-1053	531	12	.	.	PUNCT
cana-1053	532	1	accordingly	accordingly	ADV
cana-1053	532	2	,	,	PUNCT
cana-1053	532	3	we	we	PRON
cana-1053	532	4	comprehend	comprehend	VERB
cana-1053	532	5	that	that	SCONJ
cana-1053	532	6	,	,	PUNCT
cana-1053	532	7	in	in	ADP
cana-1053	532	8	common	common	ADJ
cana-1053	532	9	,	,	PUNCT
cana-1053	532	10	(	(	PUNCT
cana-1053	532	11	2.23	2.23	NUM
cana-1053	532	12	)	)	PUNCT
cana-1053	532	13	does	do	AUX
cana-1053	532	14	not	not	PART
cana-1053	532	15	hold	hold	VERB
cana-1053	532	16	when	when	SCONJ
cana-1053	532	17	1	1	PROPN
cana-1053	532	18			VERB
cana-1053	532	19	.	.	PUNCT
cana-1053	533	1	now	now	ADV
cana-1053	533	2	consider	consider	VERB
cana-1053	533	3	the	the	DET
cana-1053	533	4	subsequent	subsequent	ADJ
cana-1053	533	5	equation	equation	NOUN
cana-1053	533	6	1	1	NUM
cana-1053	533	7	1	1	NUM
cana-1053	533	8	1	1	NUM
cana-1053	533	9	n	n	NUM
cana-1053	533	10	n	n	NOUN
cana-1053	534	1	i	i	PRON
cana-1053	534	2	i	i	PRON
cana-1053	535	1	i	i	PRON
cana-1053	535	2	i	i	PRON
cana-1053	536	1	i	i	VERB
cana-1053	536	2	y	y	VERB
cana-1053	536	3	x	x	SYM
cana-1053	536	4	x	x	NOUN
cana-1053	536	5	−	−	X
cana-1053	537	1	=	=	PUNCT
cana-1053	537	2	=	=	PUNCT
cana-1053	537	3	=	=	ADJ
cana-1053	537	4			X
cana-1053	537	5			X
cana-1053	537	6	.	.	PUNCT
cana-1053	538	1	(	(	PUNCT
cana-1053	538	2	2.25	2.25	NUM
cana-1053	538	3	)	)	PUNCT
cana-1053	538	4	obviously	obviously	ADV
cana-1053	538	5	,	,	PUNCT
cana-1053	538	6	(	(	PUNCT
cana-1053	538	7	2.25	2.25	NUM
cana-1053	538	8	)	)	PUNCT
cana-1053	538	9	holds	hold	VERB
cana-1053	538	10	if	if	SCONJ
cana-1053	538	11	i	i	PRON
cana-1053	538	12	ix	ix	PRON
cana-1053	538	13	y=	y=	PRON
cana-1053	538	14	.	.	PUNCT
cana-1053	539	1	here	here	ADV
cana-1053	539	2	,	,	PUNCT
cana-1053	539	3	too	too	ADV
cana-1053	539	4	,	,	PUNCT
cana-1053	539	5	let	let	VERB
cana-1053	539	6	us	we	PRON
cana-1053	539	7	take	take	VERB
cana-1053	539	8	2	2	NUM
cana-1053	539	9	,	,	PUNCT
cana-1053	539	10	2n	2n	NUM
cana-1053	539	11	=	=	ADJ
cana-1053	539	12	=	=	SYM
cana-1053	539	13	;	;	PUNCT
cana-1053	539	14	1	1	NUM
cana-1053	539	15	24	24	NUM
cana-1053	539	16	,	,	PUNCT
cana-1053	539	17	6x	6x	NUM
cana-1053	539	18	x=	x=	X
cana-1053	540	1	=	=	SYM
cana-1053	540	2	;	;	PUNCT
cana-1053	540	3	1	1	NUM
cana-1053	540	4	21	21	NUM
cana-1053	540	5	,	,	PUNCT
cana-1053	540	6	8y	8y	NUM
cana-1053	540	7	y=	y=	X
cana-1053	541	1	=	=	PUNCT
cana-1053	541	2	.	.	PUNCT
cana-1053	542	1	then	then	ADV
cana-1053	542	2	2	2	NUM
cana-1053	542	3	2	2	NUM
cana-1053	542	4	1	1	NUM
cana-1053	542	5	1	1	NUM
cana-1053	542	6	2	2	NUM
cana-1053	542	7	2	2	NUM
cana-1053	542	8	1	1	NUM
cana-1053	542	9	252y	252y	NUM
cana-1053	542	10	x	x	PUNCT
cana-1053	543	1	y	y	NOUN
cana-1053	543	2	x	x	PUNCT
cana-1053	543	3	x	x	PUNCT
cana-1053	543	4	x+	x+	X
cana-1053	543	5	=	=	PUNCT
cana-1053	543	6	=	=	PUNCT
cana-1053	544	1	+	+	CCONJ
cana-1053	544	2	.	.	PUNCT
cana-1053	545	1	consequently	consequently	ADV
cana-1053	545	2	,	,	PUNCT
cana-1053	545	3	(	(	PUNCT
cana-1053	545	4	2.25	2.25	NUM
cana-1053	545	5	)	)	PUNCT
cana-1053	545	6	holds	hold	VERB
cana-1053	545	7	but	but	CCONJ
cana-1053	545	8	1	1	NUM
cana-1053	545	9	1x	1x	NUM
cana-1053	545	10	y	y	NOUN
cana-1053	545	11	,	,	PUNCT
cana-1053	545	12	2	2	NUM
cana-1053	545	13	2x	2x	NUM
cana-1053	545	14	y	y	NOUN
cana-1053	545	15	.	.	PUNCT
cana-1053	546	1	this	this	DET
cana-1053	546	2	example	example	NOUN
cana-1053	546	3	provides	provide	VERB
cana-1053	546	4	demonstrations	demonstration	NOUN
cana-1053	546	5	that	that	SCONJ
cana-1053	546	6	when	when	SCONJ
cana-1053	546	7	1	1	PROPN
cana-1053	546	8			VERB
cana-1053	546	9	,	,	PUNCT
cana-1053	546	10	(	(	PUNCT
cana-1053	546	11	2.25	2.25	NUM
cana-1053	546	12	)	)	PUNCT
cana-1053	546	13	may	may	AUX
cana-1053	546	14	be	be	AUX
cana-1053	546	15	true	true	ADJ
cana-1053	546	16	without	without	ADP
cana-1053	546	17	being	be	AUX
cana-1053	546	18	i	i	PRON
cana-1053	546	19	ix	ix	ADV
cana-1053	546	20	y=	y=	INTJ
cana-1053	546	21	.	.	PUNCT
cana-1053	547	1	let	let	VERB
cana-1053	547	2	*	*	PUNCT
cana-1053	547	3	i	i	PRON
cana-1053	547	4	np	np	ADV
cana-1053	547	5			NOUN
cana-1053	547	6	,	,	PUNCT
cana-1053	547	7	*	*	PUNCT
cana-1053	547	8	i	i	PRON
cana-1053	547	9	nq	nq	PROPN
cana-1053	547	10			NOUN
cana-1053	547	11	,	,	PUNCT
cana-1053	547	12	1n	1n	NUM
cana-1053	547	13	an	an	DET
cana-1053	547	14	integer	integer	NOUN
cana-1053	547	15	.	.	PUNCT
cana-1053	548	1	nath	nath	PROPN
cana-1053	549	1	[	[	X
cana-1053	549	2	19	19	NUM
cana-1053	549	3	,	,	PUNCT
cana-1053	549	4	20	20	NUM
cana-1053	549	5	,	,	PUNCT
cana-1053	549	6	21	21	NUM
cana-1053	549	7	]	]	PUNCT
cana-1053	549	8	defined	define	VERB
cana-1053	549	9	the	the	DET
cana-1053	549	10	subsequent	subsequent	ADJ
cana-1053	549	11	inaccuracy	inaccuracy	NOUN
cana-1053	549	12	of	of	ADP
cana-1053	549	13	order	order	NUM
cana-1053	549	14	,	,	PUNCT
cana-1053	549	15	0	0	PROPN
cana-1053	549	16			X
cana-1053	549	17	,	,	PUNCT
cana-1053	549	18	1	1	PROPN
cana-1053	549	19			PROPN
cana-1053	549	20	as	as	ADP
cana-1053	549	21	1	1	NUM
cana-1053	549	22	1	1	NUM
cana-1053	549	23	2	2	NUM
cana-1053	549	24	1	1	NUM
cana-1053	549	25	(	(	PUNCT
cana-1053	549	26	p;q	p;q	ADV
cana-1053	549	27	)	)	PUNCT
cana-1053	549	28	(	(	PUNCT
cana-1053	549	29	1	1	X
cana-1053	549	30	)	)	PUNCT
cana-1053	549	31	log	log	NOUN
cana-1053	549	32	n	n	INTJ
cana-1053	550	1	i	i	PRON
cana-1053	550	2	i	i	PRON
cana-1053	551	1	i	i	PRON
cana-1053	551	2	i	i	PRON
cana-1053	551	3	p	p	X
cana-1053	551	4	q	q	SCONJ
cana-1053	551	5			NOUN
cana-1053	551	6	−	−	PROPN
cana-1053	551	7	−	−	PROPN
cana-1053	551	8	=	=	SYM
cana-1053	551	9			NOUN
cana-1053	551	10			NOUN
cana-1053	551	11	=	=	PUNCT
cana-1053	552	1	−	−	PROPN
cana-1053	553	1			PROPN
cana-1053	553	2			PROPN
cana-1053	554	1			PROPN
cana-1053	554	2			NOUN
cana-1053	554	3			X
cana-1053	554	4	(	(	PUNCT
cana-1053	554	5	2.26	2.26	NUM
cana-1053	554	6	)	)	PUNCT
cana-1053	554	7	obviously	obviously	ADV
cana-1053	554	8	,	,	PUNCT
cana-1053	554	9	(	(	PUNCT
cana-1053	554	10	p;p	p;p	PROPN
cana-1053	554	11	)	)	PUNCT
cana-1053	554	12	(	(	PUNCT
cana-1053	554	13	p)i	p)i	X
cana-1053	554	14	h	h	VERB
cana-1053	554	15	=	=	ADV
cana-1053	554	16	,	,	PUNCT
cana-1053	554	17	the	the	DET
cana-1053	554	18	renyi	renyi	NOUN
cana-1053	554	19	’s	’s	PART
cana-1053	554	20	[	[	X
cana-1053	554	21	30	30	NUM
cana-1053	554	22	]	]	X
cana-1053	554	23	entropy	entropy	NOUN
cana-1053	554	24	of	of	ADP
cana-1053	554	25	order	order	NOUN
cana-1053	554	26			X
cana-1053	554	27	,	,	PUNCT
cana-1053	554	28	0	0	PROPN
cana-1053	554	29			X
cana-1053	554	30	,	,	PUNCT
cana-1053	554	31	1	1	PROPN
cana-1053	554	32			PROPN
cana-1053	554	33	.	.	PUNCT
cana-1053	555	1	in	in	ADP
cana-1053	555	2	this	this	DET
cana-1053	555	3	common	common	ADJ
cana-1053	555	4	sense	sense	NOUN
cana-1053	555	5	,	,	PUNCT
cana-1053	555	6	the	the	DET
cana-1053	555	7	inaccuracy	inaccuracy	NOUN
cana-1053	555	8	of	of	ADP
cana-1053	555	9	order	order	NUM
cana-1053	555	10	,	,	PUNCT
cana-1053	555	11	0	0	PROPN
cana-1053	555	12			X
cana-1053	555	13	,	,	PUNCT
cana-1053	555	14	1	1	PROPN
cana-1053	555	15			PROPN
cana-1053	555	16	,	,	PUNCT
cana-1053	555	17	demarcated	demarcate	VERB
cana-1053	555	18	by	by	ADP
cana-1053	555	19	(	(	PUNCT
cana-1053	555	20	2.26	2.26	NUM
cana-1053	555	21	)	)	PUNCT
cana-1053	555	22	,	,	PUNCT
cana-1053	555	23	is	be	AUX
cana-1053	555	24	a	a	DET
cana-1053	555	25	generalization	generalization	NOUN
cana-1053	555	26	of	of	ADP
cana-1053	555	27	the	the	DET
cana-1053	555	28	renyi	renyi	PROPN
cana-1053	555	29	’s	’s	PART
cana-1053	555	30	[	[	X
cana-1053	555	31	30	30	NUM
cana-1053	555	32	]	]	X
cana-1053	555	33	entropy	entropy	NOUN
cana-1053	555	34	of	of	ADP
cana-1053	555	35	order	order	NOUN
cana-1053	555	36			X
cana-1053	555	37	,	,	PUNCT
cana-1053	555	38	0	0	PROPN
cana-1053	555	39			X
cana-1053	555	40	,	,	PUNCT
cana-1053	555	41	1	1	PROPN
cana-1053	555	42			PROPN
cana-1053	555	43	.	.	PUNCT
cana-1053	556	1	also	also	ADV
cana-1053	556	2	2	2	NUM
cana-1053	556	3	1	1	NUM
cana-1053	556	4	1	1	NUM
cana-1053	556	5	lim	lim	NOUN
cana-1053	556	6	(	(	PUNCT
cana-1053	556	7	p;q	p;q	ADV
cana-1053	556	8	)	)	PUNCT
cana-1053	556	9	log	log	NOUN
cana-1053	556	10	(	(	PUNCT
cana-1053	556	11	p;q	p;q	NOUN
cana-1053	556	12	)	)	PUNCT
cana-1053	556	13	n	n	CCONJ
cana-1053	557	1	i	i	PRON
cana-1053	557	2	i	i	PRON
cana-1053	558	1	i	i	PRON
cana-1053	559	1	i	i	PRON
cana-1053	559	2	p	p	VERB
cana-1053	559	3	q	q	X
cana-1053	559	4	i	i	PRON
cana-1053	559	5	→	→	X
cana-1053	559	6	=	=	PUNCT
cana-1053	560	1	=	=	PUNCT
cana-1053	560	2	−	−	PUNCT
cana-1053	561	1	=	=	PRON
cana-1053	561	2			X
cana-1053	561	3	(	(	PUNCT
cana-1053	561	4	2.27	2.27	NUM
cana-1053	561	5	)	)	PUNCT
cana-1053	561	6	thus	thus	ADV
cana-1053	561	7	,	,	PUNCT
cana-1053	561	8	the	the	DET
cana-1053	561	9	inaccuracy	inaccuracy	NOUN
cana-1053	561	10	(	(	PUNCT
cana-1053	561	11	p;q)i	p;q)i	NOUN
cana-1053	561	12	,	,	PUNCT
cana-1053	561	13	demarcated	demarcate	VERB
cana-1053	561	14	by	by	ADP
cana-1053	561	15	kerridge	kerridge	NOUN
cana-1053	561	16	[	[	X
cana-1053	561	17	14	14	NUM
cana-1053	561	18	]	]	PUNCT
cana-1053	561	19	,	,	PUNCT
cana-1053	561	20	may	may	AUX
cana-1053	561	21	be	be	AUX
cana-1053	561	22	regarded	regard	VERB
cana-1053	561	23	as	as	ADP
cana-1053	561	24	the	the	DET
cana-1053	561	25	inaccuracy	inaccuracy	NOUN
cana-1053	561	26	of	of	ADP
cana-1053	561	27	order	order	NOUN
cana-1053	561	28	1	1	NUM
cana-1053	561	29	and	and	CCONJ
cana-1053	561	30	henceforward	henceforward	ADJ
cana-1053	561	31	,	,	PUNCT
cana-1053	561	32	(	(	PUNCT
cana-1053	561	33	p;q)i	p;q)i	NOUN
cana-1053	561	34	may	may	AUX
cana-1053	561	35	be	be	AUX
cana-1053	561	36	written	write	VERB
cana-1053	561	37	as	as	ADP
cana-1053	561	38	1(p;q)i	1(p;q)i	NUM
cana-1053	561	39	depending	depend	VERB
cana-1053	561	40	upon	upon	SCONJ
cana-1053	561	41	the	the	DET
cana-1053	561	42	condition	condition	NOUN
cana-1053	561	43	.	.	PUNCT
cana-1053	562	1	communications	communication	NOUN
cana-1053	562	2	on	on	ADP
cana-1053	562	3	applied	apply	VERB
cana-1053	562	4	nonlinear	nonlinear	ADJ
cana-1053	562	5	analysis	analysis	NOUN
cana-1053	562	6	issn	issn	NOUN
cana-1053	562	7	:	:	PUNCT
cana-1053	562	8	1074	1074	NUM
cana-1053	562	9	-	-	PUNCT
cana-1053	562	10	133x	133x	NUM
cana-1053	562	11	vol	vol	NOUN
cana-1053	562	12	31	31	NUM
cana-1053	562	13	no	no	NOUN
cana-1053	562	14	.	.	PUNCT
cana-1053	563	1	5s	5s	NUM
cana-1053	563	2	(	(	PUNCT
cana-1053	563	3	2024	2024	NUM
cana-1053	563	4	)	)	PUNCT
cana-1053	563	5	336	336	NUM
cana-1053	563	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	563	7	let	let	VERB
cana-1053	563	8	1n	1n	NUM
cana-1053	563	9	be	be	AUX
cana-1053	563	10	an	an	DET
cana-1053	563	11	integer	integer	NOUN
cana-1053	563	12	,	,	PUNCT
cana-1053	563	13	then	then	ADV
cana-1053	563	14	from	from	ADP
cana-1053	563	15	equations	equation	NOUN
cana-1053	563	16	(	(	PUNCT
cana-1053	563	17	1.1	1.1	NUM
cana-1053	563	18	)	)	PUNCT
cana-1053	563	19	,	,	PUNCT
cana-1053	563	20	(	(	PUNCT
cana-1053	563	21	1.9	1.9	NUM
cana-1053	563	22	)	)	PUNCT
cana-1053	563	23	and	and	CCONJ
cana-1053	563	24	shannon	shannon	PROPN
cana-1053	563	25	’s	’s	PART
cana-1053	563	26	[	[	X
cana-1053	563	27	2	2	NUM
cana-1053	563	28	]	]	X
cana-1053	563	29	lemma	lemma	PROPN
cana-1053	563	30	,	,	PUNCT
cana-1053	563	31	the	the	DET
cana-1053	563	32	subsequent	subsequent	ADJ
cana-1053	563	33	inequality	inequality	NOUN
cana-1053	563	34	holds	hold	VERB
cana-1053	563	35	good	good	ADJ
cana-1053	563	36	:	:	PUNCT
cana-1053	563	37	1	1	NUM
cana-1053	563	38	1(p;q	1(p;q	NUM
cana-1053	563	39	)	)	PUNCT
cana-1053	563	40	(	(	PUNCT
cana-1053	563	41	p)i	p)i	X
cana-1053	563	42	h	h	X
cana-1053	563	43	(	(	PUNCT
cana-1053	563	44	2.28	2.28	NUM
cana-1053	563	45	)	)	PUNCT
cana-1053	563	46	the	the	DET
cana-1053	563	47	sign	sign	NOUN
cana-1053	563	48	of	of	ADP
cana-1053	563	49	equality	equality	NOUN
cana-1053	563	50	,	,	PUNCT
cana-1053	563	51	in	in	ADP
cana-1053	563	52	(	(	PUNCT
cana-1053	563	53	2.28	2.28	NUM
cana-1053	563	54	)	)	PUNCT
cana-1053	563	55	,	,	PUNCT
cana-1053	563	56	holds	hold	VERB
cana-1053	563	57	good	good	ADJ
cana-1053	563	58	if	if	SCONJ
cana-1053	563	59	1n=	1n=	NUM
cana-1053	563	60	.	.	PUNCT
cana-1053	564	1	if	if	SCONJ
cana-1053	564	2	2n	2n	NUM
cana-1053	564	3	,	,	PUNCT
cana-1053	564	4	then	then	ADV
cana-1053	564	5	the	the	DET
cana-1053	564	6	sign	sign	NOUN
cana-1053	564	7	of	of	ADP
cana-1053	564	8	equivalence	equivalence	NOUN
cana-1053	564	9	in	in	ADP
cana-1053	564	10	(	(	PUNCT
cana-1053	564	11	2.28	2.28	NUM
cana-1053	564	12	)	)	PUNCT
cana-1053	564	13	holds	hold	VERB
cana-1053	564	14	iff	iff	PROPN
cana-1053	564	15	i	i	PRON
cana-1053	564	16	ip	ip	VERB
cana-1053	564	17	q	q	X
cana-1053	564	18	i=	i=	PROPN
cana-1053	564	19			NOUN
cana-1053	564	20	.	.	PUNCT
cana-1053	565	1	also	also	ADV
cana-1053	565	2	,	,	PUNCT
cana-1053	565	3	1(p	1(p	NUM
cana-1053	565	4	)	)	PUNCT
cana-1053	565	5	0h	0h	PROPN
cana-1053	565	6			PROPN
cana-1053	565	7	for	for	ADP
cana-1053	565	8	all	all	DET
cana-1053	565	9	*	*	NUM
cana-1053	565	10	1	1	NUM
cana-1053	565	11	2	2	NUM
cana-1053	565	12	(	(	PUNCT
cana-1053	565	13	,	,	PUNCT
cana-1053	565	14	,	,	PUNCT
cana-1053	565	15	...	...	PUNCT
cana-1053	565	16	,	,	PUNCT
cana-1053	565	17	)	)	PUNCT
cana-1053	566	1	n	n	CCONJ
cana-1053	566	2	np	np	INTJ
cana-1053	567	1	p	p	X
cana-1053	567	2	p	p	NOUN
cana-1053	567	3			NOUN
cana-1053	567	4	whenever	whenever	SCONJ
cana-1053	567	5	2n	2n	NUM
cana-1053	567	6	.	.	PUNCT
cana-1053	568	1	hence	hence	ADV
cana-1053	568	2	(	(	PUNCT
cana-1053	568	3	2.28	2.28	NUM
cana-1053	568	4	)	)	PUNCT
cana-1053	568	5	provides	provide	VERB
cana-1053	568	6	the	the	DET
cana-1053	568	7	subsequent	subsequent	ADJ
cana-1053	568	8	manifestation	manifestation	NOUN
cana-1053	568	9	:	:	PUNCT
cana-1053	568	10	1(p;q	1(p;q	NUM
cana-1053	568	11	)	)	PUNCT
cana-1053	568	12	0i	0i	NOUN
cana-1053	568	13			INTJ
cana-1053	568	14	(	(	PUNCT
cana-1053	568	15	2.29	2.29	NUM
cana-1053	568	16	)	)	PUNCT
cana-1053	568	17	for	for	ADP
cana-1053	568	18	all	all	DET
cana-1053	568	19	distributions	distribution	NOUN
cana-1053	568	20	*	*	PUNCT
cana-1053	569	1	i	i	PRON
cana-1053	569	2	np	np	ADV
cana-1053	569	3			NOUN
cana-1053	569	4	,	,	PUNCT
cana-1053	569	5	*	*	PUNCT
cana-1053	569	6	i	i	PRON
cana-1053	569	7	nq	nq	PROPN
cana-1053	569	8			NOUN
cana-1053	569	9	whenever	whenever	SCONJ
cana-1053	569	10	2n	2n	NUM
cana-1053	569	11	.	.	PUNCT
cana-1053	570	1	also	also	ADV
cana-1053	570	2	,	,	PUNCT
cana-1053	570	3	with	with	ADP
cana-1053	570	4	2n	2n	NUM
cana-1053	570	5	1	1	NUM
cana-1053	570	6	1	1	NUM
cana-1053	570	7	1	1	NUM
cana-1053	570	8	1	1	NUM
cana-1053	570	9	n	n	NUM
cana-1053	570	10	n	n	NOUN
cana-1053	570	11	i	i	PRON
cana-1053	571	1	i	i	INTJ
cana-1053	571	2	i	i	PRON
cana-1053	572	1	i	i	PRON
cana-1053	572	2	ii	ii	VERB
cana-1053	573	1	i	i	PRON
cana-1053	573	2	p	p	X
cana-1053	573	3	p	p	X
cana-1053	573	4	q	q	X
cana-1053	573	5	q	q	X
cana-1053	573	6	q	q	NOUN
cana-1053	573	7			ADJ
cana-1053	573	8	−	−	NOUN
cana-1053	573	9	=	=	SYM
cana-1053	573	10	=	=	NOUN
cana-1053	573	11			NOUN
cana-1053	573	12			NOUN
cana-1053	573	13	=	=	PUNCT
cana-1053	573	14			PUNCT
cana-1053	573	15			PROPN
cana-1053	573	16			ADJ
cana-1053	573	17			NOUN
cana-1053	573	18			X
cana-1053	573	19			X
cana-1053	573	20	or	or	CCONJ
cana-1053	573	21	1	1	NUM
cana-1053	573	22	according	accord	VERB
cana-1053	573	23	as	as	ADP
cana-1053	573	24	1	1	PROPN
cana-1053	573	25			ADJ
cana-1053	573	26	or	or	CCONJ
cana-1053	573	27	0	0	NUM
cana-1053	573	28	1	1	NUM
cana-1053	573	29			PROPN
cana-1053	573	30	.	.	PUNCT
cana-1053	574	1	henceforth	henceforth	ADV
cana-1053	574	2	,	,	PUNCT
cana-1053	574	3	we	we	PRON
cana-1053	574	4	acquire	acquire	VERB
cana-1053	574	5	(	(	PUNCT
cana-1053	574	6	p;q	p;q	ADV
cana-1053	574	7	)	)	PUNCT
cana-1053	574	8	0i	0i	NOUN
cana-1053	575	1			INTJ
cana-1053	575	2	(	(	PUNCT
cana-1053	575	3	2.30	2.30	NUM
cana-1053	575	4	)	)	PUNCT
cana-1053	575	5	for	for	ADP
cana-1053	575	6	all	all	PRON
cana-1053	575	7	*	*	PUNCT
cana-1053	575	8	i	i	PRON
cana-1053	575	9	np	np	ADV
cana-1053	575	10			NOUN
cana-1053	575	11	,	,	PUNCT
cana-1053	575	12	*	*	PUNCT
cana-1053	575	13	i	i	PRON
cana-1053	575	14	nq	nq	PROPN
cana-1053	575	15			NOUN
cana-1053	575	16	whenever	whenever	SCONJ
cana-1053	575	17	2n	2n	NUM
cana-1053	575	18	.	.	PUNCT
cana-1053	576	1	notice	notice	VERB
cana-1053	576	2	that	that	SCONJ
cana-1053	576	3	(	(	PUNCT
cana-1053	576	4	1;1	1;1	NUM
cana-1053	576	5	)	)	PUNCT
cana-1053	577	1	0i	0i	NOUN
cana-1053	578	1	=	=	PUNCT
cana-1053	578	2	.	.	PUNCT
cana-1053	579	1	corresponding	correspond	VERB
cana-1053	579	2	to	to	ADP
cana-1053	579	3	(	(	PUNCT
cana-1053	579	4	2.28	2.28	NUM
cana-1053	579	5	)	)	PUNCT
cana-1053	579	6	,	,	PUNCT
cana-1053	579	7	let	let	VERB
cana-1053	579	8	us	we	PRON
cana-1053	579	9	examine	examine	VERB
cana-1053	579	10	the	the	DET
cana-1053	579	11	succeeding	succeed	VERB
cana-1053	579	12	inequality	inequality	NOUN
cana-1053	579	13	(	(	PUNCT
cana-1053	579	14	p;q	p;q	ADV
cana-1053	579	15	)	)	PUNCT
cana-1053	579	16	(	(	PUNCT
cana-1053	579	17	p)i	p)i	X
cana-1053	579	18	h	h	VERB
cana-1053	579	19			NOUN
cana-1053	579	20	when	when	SCONJ
cana-1053	579	21	0	0	PROPN
cana-1053	579	22			X
cana-1053	579	23	,	,	PUNCT
cana-1053	579	24	1	1	PROPN
cana-1053	579	25			PROPN
cana-1053	579	26	.	.	PUNCT
cana-1053	580	1	(	(	PUNCT
cana-1053	580	2	2.31	2.31	NUM
cana-1053	580	3	)	)	PUNCT
cana-1053	580	4	the	the	DET
cana-1053	580	5	insignia	insignia	NOUN
cana-1053	580	6	of	of	ADP
cana-1053	580	7	egalitarianism	egalitarianism	NOUN
cana-1053	580	8	holds	hold	VERB
cana-1053	580	9	good	good	ADJ
cana-1053	580	10	in	in	ADP
cana-1053	580	11	equation	equation	NOUN
cana-1053	580	12	(	(	PUNCT
cana-1053	580	13	2.31	2.31	NUM
cana-1053	580	14	)	)	PUNCT
cana-1053	580	15	when	when	SCONJ
cana-1053	580	16	1n=	1n=	NUM
cana-1053	580	17	.	.	PUNCT
cana-1053	581	1	if	if	SCONJ
cana-1053	581	2	2n	2n	NUM
cana-1053	581	3	,	,	PUNCT
cana-1053	581	4	then	then	ADV
cana-1053	581	5	the	the	DET
cana-1053	581	6	insignia	insignia	NOUN
cana-1053	581	7	of	of	ADP
cana-1053	581	8	egalitarianism	egalitarianism	NOUN
cana-1053	581	9	in	in	ADP
cana-1053	581	10	(	(	PUNCT
cana-1053	581	11	2.31	2.31	NUM
cana-1053	581	12	)	)	PUNCT
cana-1053	581	13	holds	hold	VERB
cana-1053	581	14	iff	iff	PROPN
cana-1053	581	15	i	i	PRON
cana-1053	581	16	ip	ip	VERB
cana-1053	581	17	q=	q=	ADV
cana-1053	581	18	.	.	PUNCT
cana-1053	582	1	now	now	ADV
cana-1053	582	2	,	,	PUNCT
cana-1053	582	3	consider	consider	VERB
cana-1053	582	4	the	the	DET
cana-1053	582	5	subsequent	subsequent	ADJ
cana-1053	582	6	example	example	NOUN
cana-1053	582	7	:	:	PUNCT
cana-1053	582	8	example	example	NOUN
cana-1053	582	9	3.2	3.2	NUM
cana-1053	582	10	.	.	PUNCT
cana-1053	583	1	take	take	VERB
cana-1053	583	2	2n=	2n=	NUM
cana-1053	583	3	,	,	PUNCT
cana-1053	583	4	1	1	NUM
cana-1053	583	5	2	2	NUM
cana-1053	583	6	1	1	NUM
cana-1053	583	7	1	1	NUM
cana-1053	583	8	,	,	PUNCT
cana-1053	583	9	2	2	NUM
cana-1053	583	10	2	2	NUM
cana-1053	583	11	p	p	NOUN
cana-1053	583	12	p=	p=	NOUN
cana-1053	583	13	=	=	PUNCT
cana-1053	583	14	;	;	PUNCT
cana-1053	583	15	1	1	NUM
cana-1053	583	16	2	2	NUM
cana-1053	583	17	1	1	NUM
cana-1053	583	18	3	3	NUM
cana-1053	583	19	,	,	PUNCT
cana-1053	583	20	4	4	NUM
cana-1053	583	21	4	4	NUM
cana-1053	583	22	q	q	NOUN
cana-1053	583	23	q=	q=	ADV
cana-1053	583	24	=	=	PUNCT
cana-1053	583	25	and	and	CCONJ
cana-1053	583	26	3	3	PROPN
cana-1053	583	27	=	=	PUNCT
cana-1053	583	28	.	.	PUNCT
cana-1053	584	1	then	then	ADV
cana-1053	584	2	3	3	NUM
cana-1053	584	3	1	1	NUM
cana-1053	584	4	1	1	NUM
cana-1053	584	5	,	,	PUNCT
cana-1053	584	6	1	1	NUM
cana-1053	584	7	2	2	NUM
cana-1053	584	8	2	2	NUM
cana-1053	584	9	h	h	NOUN
cana-1053	584	10			NOUN
cana-1053	584	11			NOUN
cana-1053	585	1	=	=	SYM
cana-1053	585	2			PROPN
cana-1053	585	3			PROPN
cana-1053	586	1			ADJ
cana-1053	586	2			NOUN
cana-1053	586	3	bit	bit	NOUN
cana-1053	586	4	whereas	whereas	SCONJ
cana-1053	586	5	3	3	NUM
cana-1053	586	6	2	2	NUM
cana-1053	586	7	3	3	NUM
cana-1053	586	8	1	1	NUM
cana-1053	586	9	1	1	NUM
cana-1053	586	10	1	1	NUM
cana-1053	586	11	3	3	NUM
cana-1053	586	12	1	1	NUM
cana-1053	586	13	16	16	NUM
cana-1053	586	14	1	1	NUM
cana-1053	586	15	1	1	NUM
cana-1053	586	16	,	,	PUNCT
cana-1053	586	17	;	;	PUNCT
cana-1053	586	18	,	,	PUNCT
cana-1053	586	19	log	log	VERB
cana-1053	586	20	,	,	PUNCT
cana-1053	586	21	2	2	NUM
cana-1053	586	22	2	2	NUM
cana-1053	586	23	3	3	NUM
cana-1053	586	24	4	4	NUM
cana-1053	586	25	2	2	NUM
cana-1053	586	26	5	5	NUM
cana-1053	586	27	2	2	NUM
cana-1053	586	28	2	2	NUM
cana-1053	587	1	i	i	PRON
cana-1053	587	2	h	h	VERB
cana-1053	588	1			NOUN
cana-1053	588	2			PROPN
cana-1053	588	3			NOUN
cana-1053	588	4			PROPN
cana-1053	588	5			NOUN
cana-1053	588	6			NOUN
cana-1053	588	7	=	=	PUNCT
cana-1053	588	8			PUNCT
cana-1053	589	1			PROPN
cana-1053	590	1			PROPN
cana-1053	590	2			INTJ
cana-1053	591	1			PROPN
cana-1053	591	2			PROPN
cana-1053	592	1			ADJ
cana-1053	592	2			PROPN
cana-1053	592	3			PROPN
cana-1053	592	4			NOUN
cana-1053	592	5			PROPN
cana-1053	592	6			NOUN
cana-1053	592	7	.	.	PUNCT
cana-1053	593	1	accordingly	accordingly	ADV
cana-1053	593	2	,	,	PUNCT
cana-1053	593	3	equation	equation	NOUN
cana-1053	593	4	(	(	PUNCT
cana-1053	593	5	2.31	2.31	NUM
cana-1053	593	6	)	)	PUNCT
cana-1053	593	7	does	do	AUX
cana-1053	593	8	not	not	PART
cana-1053	593	9	hold	hold	VERB
cana-1053	593	10	for	for	ADP
cana-1053	593	11	2n=	2n=	NUM
cana-1053	593	12	and	and	CCONJ
cana-1053	593	13	3	3	PROPN
cana-1053	593	14	=	=	PUNCT
cana-1053	593	15	.	.	PUNCT
cana-1053	594	1	on	on	ADP
cana-1053	594	2	the	the	DET
cana-1053	594	3	other	other	ADJ
cana-1053	594	4	hand	hand	NOUN
cana-1053	594	5	,	,	PUNCT
cana-1053	594	6	3	3	NUM
cana-1053	594	7	2	2	NUM
cana-1053	594	8	2	2	NUM
cana-1053	594	9	1	1	NUM
cana-1053	594	10	1	1	NUM
cana-1053	594	11	,	,	PUNCT
cana-1053	594	12	2log	2log	PROPN
cana-1053	594	13	(	(	PUNCT
cana-1053	594	14	0.7071	0.7071	NUM
cana-1053	594	15	)	)	PUNCT
cana-1053	595	1	2	2	NUM
cana-1053	595	2	2	2	NUM
cana-1053	595	3	h	h	NOUN
cana-1053	595	4			NOUN
cana-1053	595	5			NOUN
cana-1053	595	6	=	=	PUNCT
cana-1053	596	1	−	−	PROPN
cana-1053	596	2			PROPN
cana-1053	597	1			ADJ
cana-1053	597	2			NOUN
cana-1053	597	3	and	and	CCONJ
cana-1053	597	4	3	3	NUM
cana-1053	597	5	2	2	NUM
cana-1053	597	6	2	2	NUM
cana-1053	597	7	1	1	NUM
cana-1053	597	8	1	1	NUM
cana-1053	597	9	1	1	NUM
cana-1053	597	10	3	3	NUM
cana-1053	597	11	,	,	PUNCT
cana-1053	597	12	;	;	PUNCT
cana-1053	597	13	,	,	PUNCT
cana-1053	597	14	2log	2log	NUM
cana-1053	597	15	0.6830	0.6830	NUM
cana-1053	597	16	2	2	NUM
cana-1053	597	17	2	2	NUM
cana-1053	597	18	4	4	NUM
cana-1053	597	19	4	4	NUM
cana-1053	597	20	i	i	PRON
cana-1053	597	21			VERB
cana-1053	598	1			NOUN
cana-1053	598	2	=	=	PUNCT
cana-1053	598	3	−	−	PROPN
cana-1053	598	4			PROPN
cana-1053	599	1			PROPN
cana-1053	599	2			NOUN
cana-1053	599	3	.	.	PUNCT
cana-1053	600	1	consequently	consequently	ADV
cana-1053	600	2	,	,	PUNCT
cana-1053	600	3	equation	equation	NOUN
cana-1053	600	4	(	(	PUNCT
cana-1053	600	5	2.31	2.31	NUM
cana-1053	600	6	)	)	PUNCT
cana-1053	600	7	holds	hold	VERB
cana-1053	600	8	for	for	ADP
cana-1053	600	9	2n=	2n=	NUM
cana-1053	600	10	and	and	CCONJ
cana-1053	600	11	3	3	NUM
cana-1053	600	12	2	2	NUM
cana-1053	600	13			NOUN
cana-1053	600	14	=	=	PUNCT
cana-1053	600	15	as	as	ADP
cana-1053	600	16	3	3	NUM
cana-1053	600	17	3	3	NUM
cana-1053	600	18	2	2	NUM
cana-1053	600	19	2	2	NUM
cana-1053	600	20	1	1	NUM
cana-1053	600	21	1	1	NUM
cana-1053	600	22	1	1	NUM
cana-1053	600	23	3	3	NUM
cana-1053	600	24	1	1	NUM
cana-1053	600	25	1	1	NUM
cana-1053	600	26	,	,	PUNCT
cana-1053	600	27	;	;	PUNCT
cana-1053	600	28	,	,	PUNCT
cana-1053	600	29	,	,	PUNCT
cana-1053	600	30	2	2	NUM
cana-1053	600	31	2	2	NUM
cana-1053	600	32	3	3	NUM
cana-1053	600	33	4	4	NUM
cana-1053	600	34	2	2	NUM
cana-1053	600	35	2	2	NUM
cana-1053	600	36	i	i	PRON
cana-1053	600	37	h	h	VERB
cana-1053	601	1			NOUN
cana-1053	601	2			PROPN
cana-1053	601	3			NOUN
cana-1053	601	4			PROPN
cana-1053	601	5			PROPN
cana-1053	601	6			PROPN
cana-1053	602	1			PROPN
cana-1053	602	2			PROPN
cana-1053	603	1			ADJ
cana-1053	603	2			PROPN
cana-1053	603	3			PROPN
cana-1053	603	4			NOUN
cana-1053	603	5	.	.	PUNCT
cana-1053	604	1	however	however	ADV
cana-1053	604	2	,	,	PUNCT
cana-1053	604	3	2	2	NUM
cana-1053	604	4	2	2	NUM
cana-1053	604	5	1	1	NUM
cana-1053	604	6	1	1	NUM
cana-1053	604	7	1	1	NUM
cana-1053	604	8	1	1	NUM
cana-1053	604	9	1	1	NUM
cana-1053	604	10	3	3	NUM
cana-1053	604	11	,	,	PUNCT
cana-1053	604	12	,	,	PUNCT
cana-1053	604	13	;	;	PUNCT
cana-1053	604	14	,	,	PUNCT
cana-1053	604	15	1	1	NUM
cana-1053	604	16	2	2	NUM
cana-1053	604	17	2	2	NUM
cana-1053	604	18	2	2	NUM
cana-1053	604	19	2	2	NUM
cana-1053	604	20	4	4	NUM
cana-1053	604	21	4	4	NUM
cana-1053	604	22	h	h	NOUN
cana-1053	605	1	i	i	PRON
cana-1053	605	2			VERB
cana-1053	605	3			VERB
cana-1053	605	4			NOUN
cana-1053	605	5			NOUN
cana-1053	605	6	=	=	PUNCT
cana-1053	606	1	=	=	SYM
cana-1053	606	2			PROPN
cana-1053	607	1			PROPN
cana-1053	607	2			PROPN
cana-1053	607	3			PROPN
cana-1053	608	1			ADJ
cana-1053	608	2			PROPN
cana-1053	608	3			PROPN
cana-1053	608	4			NOUN
cana-1053	608	5	bit	bit	NOUN
cana-1053	608	6	.	.	PUNCT
cana-1053	609	1	now	now	ADV
cana-1053	609	2	,	,	PUNCT
cana-1053	609	3	let	let	VERB
cana-1053	609	4	us	we	PRON
cana-1053	609	5	choose	choose	VERB
cana-1053	609	6	k	k	ADJ
cana-1053	609	7	=	=	PROPN
cana-1053	609	8	,	,	PUNCT
cana-1053	609	9	0	0	PROPN
cana-1053	609	10			X
cana-1053	609	11	,	,	PUNCT
cana-1053	609	12	1	1	PROPN
cana-1053	609	13			PROPN
cana-1053	609	14	and	and	CCONJ
cana-1053	609	15	i	i	PROPN
cana-1053	609	16	ia	ia	PROPN
cana-1053	609	17	p=	p=	PROPN
cana-1053	609	18	,	,	PUNCT
cana-1053	609	19	1	1	NUM
cana-1053	609	20	i	i	PRON
cana-1053	609	21	ib	ib	VERB
cana-1053	609	22	q−=	q−=	VERB
cana-1053	609	23	,	,	PUNCT
cana-1053	609	24	such	such	ADJ
cana-1053	609	25	that	that	PRON
cana-1053	609	26	*	*	PUNCT
cana-1053	609	27	i	i	PRON
cana-1053	609	28	np	np	ADV
cana-1053	609	29			NOUN
cana-1053	609	30	,	,	PUNCT
cana-1053	609	31	*	*	PUNCT
cana-1053	609	32	i	i	PRON
cana-1053	609	33	nq	nq	PROPN
cana-1053	609	34			NOUN
cana-1053	609	35	,	,	PUNCT
cana-1053	609	36	2n	2n	NUM
cana-1053	609	37	an	an	DET
cana-1053	609	38	integer	integer	NOUN
cana-1053	609	39	.	.	PUNCT
cana-1053	610	1	then	then	ADV
cana-1053	610	2	(	(	PUNCT
cana-1053	610	3	2.16	2.16	NUM
cana-1053	610	4	)	)	PUNCT
cana-1053	610	5	(	(	PUNCT
cana-1053	610	6	i	i	NOUN
cana-1053	610	7	)	)	PUNCT
cana-1053	610	8	and	and	CCONJ
cana-1053	610	9	(	(	PUNCT
cana-1053	610	10	2.17	2.17	NUM
cana-1053	610	11	)	)	PUNCT
cana-1053	610	12	(	(	PUNCT
cana-1053	610	13	i	i	NOUN
cana-1053	610	14	)	)	PUNCT
cana-1053	610	15	condense	condense	VERB
cana-1053	610	16	respectively	respectively	ADV
cana-1053	610	17	to	to	ADP
cana-1053	610	18	the	the	DET
cana-1053	610	19	successive	successive	ADJ
cana-1053	610	20	inequalities	inequality	NOUN
cana-1053	610	21	:	:	PUNCT
cana-1053	610	22	communications	communication	NOUN
cana-1053	610	23	on	on	ADP
cana-1053	610	24	applied	apply	VERB
cana-1053	610	25	nonlinear	nonlinear	ADJ
cana-1053	610	26	analysis	analysis	NOUN
cana-1053	610	27	issn	issn	NOUN
cana-1053	610	28	:	:	PUNCT
cana-1053	610	29	1074	1074	NUM
cana-1053	610	30	-	-	PUNCT
cana-1053	610	31	133x	133x	NUM
cana-1053	610	32	vol	vol	NOUN
cana-1053	610	33	31	31	NUM
cana-1053	610	34	no	no	NOUN
cana-1053	610	35	.	.	PUNCT
cana-1053	611	1	5s	5s	NUM
cana-1053	611	2	(	(	PUNCT
cana-1053	611	3	2024	2024	NUM
cana-1053	611	4	)	)	PUNCT
cana-1053	611	5	337	337	NUM
cana-1053	611	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	611	7	1	1	NUM
cana-1053	611	8	1	1	NUM
cana-1053	611	9	1	1	NUM
cana-1053	611	10	1	1	NUM
cana-1053	611	11	1	1	NUM
cana-1053	611	12	1	1	NUM
cana-1053	611	13	n	n	NUM
cana-1053	611	14	n	n	CCONJ
cana-1053	611	15	n	n	NOUN
cana-1053	612	1	i	i	PRON
cana-1053	612	2	i	i	PRON
cana-1053	613	1	i	i	PRON
cana-1053	613	2	i	i	PRON
cana-1053	614	1	i	i	PRON
cana-1053	614	2	i	i	PRON
cana-1053	615	1	i	i	PRON
cana-1053	615	2	p	p	VERB
cana-1053	615	3	q	q	X
cana-1053	615	4	p	p	X
cana-1053	615	5	q	q	X
cana-1053	615	6			NOUN
cana-1053	615	7			X
cana-1053	615	8			X
cana-1053	615	9			X
cana-1053	615	10			X
cana-1053	615	11			X
cana-1053	615	12	−	−	NOUN
cana-1053	615	13	−	−	PROPN
cana-1053	615	14	=	=	SYM
cana-1053	616	1	=	=	SYM
cana-1053	616	2	=	=	NOUN
cana-1053	616	3			NOUN
cana-1053	616	4			PROPN
cana-1053	616	5			NOUN
cana-1053	616	6			PROPN
cana-1053	616	7			PROPN
cana-1053	616	8			PROPN
cana-1053	617	1			PROPN
cana-1053	618	1			PROPN
cana-1053	618	2			PROPN
cana-1053	619	1			ADJ
cana-1053	619	2			PROPN
cana-1053	619	3			PROPN
cana-1053	619	4			NOUN
cana-1053	619	5			X
cana-1053	619	6			X
cana-1053	619	7			X
cana-1053	620	1	(	(	PUNCT
cana-1053	620	2	1)	1)	NUM
cana-1053	620	3			X
cana-1053	620	4	(	(	PUNCT
cana-1053	620	5	2.32	2.32	NUM
cana-1053	620	6	)	)	PUNCT
cana-1053	620	7	1	1	NUM
cana-1053	620	8	1	1	NUM
cana-1053	620	9	1	1	NUM
cana-1053	620	10	1	1	NUM
cana-1053	620	11	1	1	NUM
cana-1053	620	12	1	1	NUM
cana-1053	620	13	n	n	NUM
cana-1053	620	14	n	n	CCONJ
cana-1053	620	15	n	n	NOUN
cana-1053	620	16	i	i	PRON
cana-1053	621	1	i	i	PRON
cana-1053	622	1	i	i	PRON
cana-1053	623	1	i	i	PRON
cana-1053	624	1	i	i	PRON
cana-1053	625	1	i	i	PRON
cana-1053	626	1	i	i	PRON
cana-1053	626	2	p	p	VERB
cana-1053	626	3	q	q	X
cana-1053	626	4	p	p	X
cana-1053	626	5	q	q	X
cana-1053	626	6			NOUN
cana-1053	626	7			X
cana-1053	626	8			X
cana-1053	626	9			X
cana-1053	626	10			X
cana-1053	626	11			X
cana-1053	626	12	−	−	NOUN
cana-1053	626	13	−	−	PROPN
cana-1053	626	14	=	=	SYM
cana-1053	627	1	=	=	SYM
cana-1053	627	2	=	=	NOUN
cana-1053	627	3			NOUN
cana-1053	627	4			PROPN
cana-1053	627	5			NOUN
cana-1053	627	6			NOUN
cana-1053	627	7			PROPN
cana-1053	627	8			PROPN
cana-1053	628	1			INTJ
cana-1053	629	1			PROPN
cana-1053	629	2			PROPN
cana-1053	630	1			ADJ
cana-1053	630	2			PROPN
cana-1053	630	3			PROPN
cana-1053	630	4			NOUN
cana-1053	630	5			X
cana-1053	630	6			X
cana-1053	630	7			X
cana-1053	630	8	(	(	PUNCT
cana-1053	630	9	0	0	NUM
cana-1053	630	10	1)	1)	PROPN
cana-1053	630	11			PROPN
cana-1053	630	12	(	(	PUNCT
cana-1053	630	13	2.33	2.33	NUM
cana-1053	630	14	)	)	PUNCT
cana-1053	630	15	which	which	PRON
cana-1053	630	16	hold	hold	VERB
cana-1053	630	17	unless	unless	SCONJ
cana-1053	630	18	i	i	PRON
cana-1053	630	19	ip	ip	VERB
cana-1053	630	20	q=	q=	ADV
cana-1053	630	21	.	.	PUNCT
cana-1053	631	1	from	from	ADP
cana-1053	631	2	equations	equation	NOUN
cana-1053	631	3	(	(	PUNCT
cana-1053	631	4	2.32	2.32	NUM
cana-1053	631	5	)	)	PUNCT
cana-1053	631	6	,	,	PUNCT
cana-1053	631	7	(	(	PUNCT
cana-1053	631	8	2.33	2.33	NUM
cana-1053	631	9	)	)	PUNCT
cana-1053	631	10	,	,	PUNCT
cana-1053	631	11	(	(	PUNCT
cana-1053	631	12	2.26	2.26	NUM
cana-1053	631	13	)	)	PUNCT
cana-1053	631	14	and	and	CCONJ
cana-1053	631	15	(	(	PUNCT
cana-1053	631	16	1.2	1.2	NUM
cana-1053	631	17	)	)	PUNCT
cana-1053	631	18	,	,	PUNCT
cana-1053	631	19	it	it	PRON
cana-1053	631	20	follows	follow	VERB
cana-1053	631	21	that	that	SCONJ
cana-1053	631	22	(	(	PUNCT
cana-1053	631	23	p	p	X
cana-1053	631	24	)	)	PUNCT
cana-1053	631	25	(	(	PUNCT
cana-1053	631	26	p;q	p;q	ADV
cana-1053	631	27	)	)	PUNCT
cana-1053	631	28	(	(	PUNCT
cana-1053	631	29	1	1	X
cana-1053	631	30	)	)	PUNCT
cana-1053	631	31	(	(	PUNCT
cana-1053	631	32	q)h	q)h	NOUN
cana-1053	631	33	i	i	PRON
cana-1053	631	34	h	h	VERB
cana-1053	631	35			NOUN
cana-1053	631	36			NUM
cana-1053	631	37			PUNCT
cana-1053	631	38	+	+	CCONJ
cana-1053	631	39	−	−	PROPN
cana-1053	631	40	,	,	PUNCT
cana-1053	631	41	0	0	PROPN
cana-1053	631	42			PROPN
cana-1053	631	43	1	1	PROPN
cana-1053	631	44			NOUN
cana-1053	631	45	(	(	PUNCT
cana-1053	631	46	2.34	2.34	NUM
cana-1053	631	47	)	)	PUNCT
cana-1053	631	48	unless	unless	SCONJ
cana-1053	631	49	i	i	PRON
cana-1053	631	50	ip	ip	VERB
cana-1053	631	51	q=	q=	ADV
cana-1053	631	52	.	.	PUNCT
cana-1053	632	1	similarly	similarly	ADV
cana-1053	632	2	,	,	PUNCT
cana-1053	632	3	(	(	PUNCT
cana-1053	632	4	q	q	X
cana-1053	632	5	)	)	PUNCT
cana-1053	632	6	(	(	PUNCT
cana-1053	632	7	q;p	q;p	NOUN
cana-1053	632	8	)	)	PUNCT
cana-1053	632	9	(	(	PUNCT
cana-1053	632	10	1	1	NUM
cana-1053	632	11	)	)	PUNCT
cana-1053	632	12	(	(	PUNCT
cana-1053	632	13	p)h	p)h	NOUN
cana-1053	632	14	i	i	PRON
cana-1053	632	15	h	h	VERB
cana-1053	632	16			NUM
cana-1053	632	17			ADP
cana-1053	632	18			NOUN
cana-1053	632	19	+	+	CCONJ
cana-1053	632	20	−	−	PROPN
cana-1053	632	21	,	,	PUNCT
cana-1053	632	22	0	0	PROPN
cana-1053	632	23			X
cana-1053	632	24	,	,	PUNCT
cana-1053	632	25	1	1	PROPN
cana-1053	632	26			PROPN
cana-1053	632	27	(	(	PUNCT
cana-1053	632	28	2.35	2.35	NUM
cana-1053	632	29	)	)	PUNCT
cana-1053	632	30	unless	unless	SCONJ
cana-1053	632	31	i	i	PRON
cana-1053	632	32	ip	ip	VERB
cana-1053	632	33	q=	q=	ADV
cana-1053	632	34	.	.	PUNCT
cana-1053	633	1	from	from	ADP
cana-1053	633	2	equations	equation	NOUN
cana-1053	633	3	(	(	PUNCT
cana-1053	633	4	2.34	2.34	NUM
cana-1053	633	5	)	)	PUNCT
cana-1053	633	6	and	and	CCONJ
cana-1053	633	7	(	(	PUNCT
cana-1053	633	8	2.35	2.35	NUM
cana-1053	633	9	)	)	PUNCT
cana-1053	633	10	,	,	PUNCT
cana-1053	633	11	we	we	PRON
cana-1053	633	12	obtain	obtain	VERB
cana-1053	633	13	the	the	DET
cana-1053	633	14	succeeding	succeed	VERB
cana-1053	633	15	inequality	inequality	NOUN
cana-1053	633	16	[	[	X
cana-1053	633	17	22	22	NUM
cana-1053	633	18	]	]	X
cana-1053	633	19	:	:	PUNCT
cana-1053	633	20	(	(	PUNCT
cana-1053	633	21	p	p	X
cana-1053	633	22	)	)	PUNCT
cana-1053	633	23	(	(	PUNCT
cana-1053	633	24	q	q	X
cana-1053	633	25	)	)	PUNCT
cana-1053	633	26	(	(	PUNCT
cana-1053	633	27	p;q	p;q	ADV
cana-1053	633	28	)	)	PUNCT
cana-1053	633	29	(	(	PUNCT
cana-1053	634	1	q;p)h	q;p)h	NOUN
cana-1053	634	2	h	h	NOUN
cana-1053	634	3	i	i	NOUN
cana-1053	634	4	i	i	ADP
cana-1053	634	5			NOUN
cana-1053	634	6			X
cana-1053	634	7	+	+	ADP
cana-1053	634	8			PROPN
cana-1053	634	9	+	+	CCONJ
cana-1053	634	10	(	(	PUNCT
cana-1053	634	11	2.36	2.36	NUM
cana-1053	634	12	)	)	PUNCT
cana-1053	634	13	valid	valid	NOUN
cana-1053	634	14	for	for	ADP
cana-1053	634	15	all	all	DET
cana-1053	634	16	0	0	ADJ
cana-1053	634	17			X
cana-1053	634	18	,	,	PUNCT
cana-1053	634	19	1	1	PROPN
cana-1053	634	20			PROPN
cana-1053	634	21	.	.	PUNCT
cana-1053	635	1	accordingly	accordingly	ADV
cana-1053	635	2	,	,	PUNCT
cana-1053	635	3	we	we	PRON
cana-1053	635	4	have	have	AUX
cana-1053	635	5	evidenced	evidence	VERB
cana-1053	635	6	the	the	DET
cana-1053	635	7	obligatory	obligatory	ADJ
cana-1053	635	8	consequence	consequence	NOUN
cana-1053	635	9	.	.	PUNCT
cana-1053	636	1	theorem	theorem	VERB
cana-1053	636	2	3.3	3.3	NUM
cana-1053	636	3	.	.	PUNCT
cana-1053	637	1	let	let	VERB
cana-1053	637	2	0	0	PROPN
cana-1053	637	3			X
cana-1053	637	4	,	,	PUNCT
cana-1053	637	5	1	1	PROPN
cana-1053	637	6			PROPN
cana-1053	637	7	be	be	VERB
cana-1053	637	8	a	a	DET
cana-1053	637	9	prearranged	prearranged	ADJ
cana-1053	637	10	real	real	ADJ
cana-1053	637	11	constant	constant	ADJ
cana-1053	637	12	;	;	PUNCT
cana-1053	637	13	and	and	CCONJ
cana-1053	637	14	*	*	PUNCT
cana-1053	637	15	i	i	PRON
cana-1053	637	16	np	np	ADV
cana-1053	637	17			NOUN
cana-1053	637	18	,	,	PUNCT
cana-1053	637	19	*	*	PUNCT
cana-1053	637	20	i	i	PRON
cana-1053	637	21	nq	nq	PROPN
cana-1053	637	22			NOUN
cana-1053	637	23	,	,	PUNCT
cana-1053	637	24	2n	2n	NUM
cana-1053	637	25	an	an	DET
cana-1053	637	26	integer	integer	NOUN
cana-1053	637	27	.	.	PUNCT
cana-1053	638	1	then	then	ADV
cana-1053	638	2	(	(	PUNCT
cana-1053	638	3	2.36	2.36	NUM
cana-1053	638	4	)	)	PUNCT
cana-1053	638	5	holds	hold	VERB
cana-1053	638	6	for	for	ADP
cana-1053	638	7	all	all	DET
cana-1053	638	8	0	0	ADJ
cana-1053	638	9			X
cana-1053	638	10	,	,	PUNCT
cana-1053	638	11	1	1	PROPN
cana-1053	638	12			PROPN
cana-1053	638	13	unless	unless	SCONJ
cana-1053	638	14	i	i	PRON
cana-1053	638	15	ip	ip	VERB
cana-1053	638	16	q=	q=	ADV
cana-1053	638	17	.	.	PUNCT
cana-1053	639	1	now	now	ADV
cana-1053	639	2	suppose	suppose	VERB
cana-1053	639	3	that	that	SCONJ
cana-1053	639	4	for	for	ADP
cana-1053	639	5	0	0	PROPN
cana-1053	639	6			X
cana-1053	639	7	,	,	PUNCT
cana-1053	639	8	1	1	PROPN
cana-1053	639	9			PROPN
cana-1053	639	10	,	,	PUNCT
cana-1053	639	11	(	(	PUNCT
cana-1053	639	12	p;q	p;q	ADV
cana-1053	639	13	)	)	PUNCT
cana-1053	639	14	(	(	PUNCT
cana-1053	639	15	p)i	p)i	X
cana-1053	639	16	h	h	VERB
cana-1053	639	17	=	=	ADJ
cana-1053	639	18	(	(	PUNCT
cana-1053	639	19	2.37	2.37	NUM
cana-1053	639	20	)	)	PUNCT
cana-1053	639	21	holds	hold	VERB
cana-1053	639	22	for	for	ADP
cana-1053	639	23	2n	2n	NUM
cana-1053	639	24	an	an	DET
cana-1053	639	25	integer	integer	NOUN
cana-1053	639	26	.	.	PUNCT
cana-1053	640	1	then	then	ADV
cana-1053	640	2	1	1	NUM
cana-1053	640	3	1	1	NUM
cana-1053	640	4	1	1	NUM
cana-1053	640	5	n	n	NUM
cana-1053	640	6	n	n	NOUN
cana-1053	640	7	i	i	PRON
cana-1053	640	8	i	i	PRON
cana-1053	641	1	i	i	PRON
cana-1053	641	2	i	i	PRON
cana-1053	642	1	i	i	PRON
cana-1053	642	2	p	p	VERB
cana-1053	642	3	q	q	PUNCT
cana-1053	642	4	p	p	NOUN
cana-1053	642	5	−	−	PUNCT
cana-1053	642	6	=	=	PUNCT
cana-1053	643	1	=	=	PUNCT
cana-1053	643	2	=	=	ADJ
cana-1053	643	3			X
cana-1053	643	4			X
cana-1053	643	5	.	.	PUNCT
cana-1053	644	1	(	(	PUNCT
cana-1053	644	2	2.38	2.38	NUM
cana-1053	644	3	)	)	PUNCT
cana-1053	644	4	obviously	obviously	ADV
cana-1053	644	5	,	,	PUNCT
cana-1053	644	6	(	(	PUNCT
cana-1053	644	7	2.38	2.38	NUM
cana-1053	644	8	)	)	PUNCT
cana-1053	644	9	holds	hold	VERB
cana-1053	644	10	good	good	ADJ
cana-1053	644	11	if	if	SCONJ
cana-1053	644	12	i	i	PRON
cana-1053	644	13	ip	ip	VERB
cana-1053	644	14	q=	q=	ADV
cana-1053	644	15	.	.	PUNCT
cana-1053	645	1	on	on	ADP
cana-1053	645	2	the	the	DET
cana-1053	645	3	additional	additional	ADJ
cana-1053	645	4	hand	hand	NOUN
cana-1053	645	5	,	,	PUNCT
cana-1053	645	6	if	if	SCONJ
cana-1053	645	7	we	we	PRON
cana-1053	645	8	take	take	VERB
cana-1053	645	9	2	2	NUM
cana-1053	645	10	,	,	PUNCT
cana-1053	645	11	2,n	2,n	ADJ
cana-1053	645	12	=	=	ADJ
cana-1053	645	13	=	=	SYM
cana-1053	645	14	1	1	NUM
cana-1053	645	15	2	2	NUM
cana-1053	645	16	1	1	NUM
cana-1053	645	17	2	2	NUM
cana-1053	645	18	1	1	NUM
cana-1053	645	19	1	1	NUM
cana-1053	645	20	1	1	NUM
cana-1053	645	21	3	3	NUM
cana-1053	645	22	,	,	PUNCT
cana-1053	645	23	,	,	PUNCT
cana-1053	645	24	,	,	PUNCT
cana-1053	645	25	,	,	PUNCT
cana-1053	645	26	2	2	NUM
cana-1053	645	27	2	2	NUM
cana-1053	645	28	4	4	NUM
cana-1053	645	29	4	4	NUM
cana-1053	645	30	p	p	NOUN
cana-1053	645	31	p	p	X
cana-1053	645	32	q	q	NOUN
cana-1053	645	33	q=	q=	ADV
cana-1053	645	34	=	=	PUNCT
cana-1053	645	35	=	=	PUNCT
cana-1053	646	1	=	=	PUNCT
cana-1053	646	2	then	then	ADV
cana-1053	646	3	we	we	PRON
cana-1053	646	4	acquire	acquire	VERB
cana-1053	646	5	the	the	DET
cana-1053	646	6	succeeding	succeed	VERB
cana-1053	646	7	manifestation	manifestation	NOUN
cana-1053	646	8	:	:	PUNCT
cana-1053	647	1	2	2	NUM
cana-1053	647	2	2	2	NUM
cana-1053	647	3	1	1	NUM
cana-1053	647	4	2	2	NUM
cana-1053	647	5	2	2	NUM
cana-1053	647	6	1	1	NUM
cana-1053	647	7	2	2	NUM
cana-1053	647	8	1	1	NUM
cana-1053	647	9	i	i	PRON
cana-1053	647	10	i	i	PRON
cana-1053	648	1	i	i	PRON
cana-1053	648	2	p	p	VERB
cana-1053	648	3	q	q	X
cana-1053	648	4	p	p	X
cana-1053	648	5	p−	p−	NOUN
cana-1053	648	6	=	=	PUNCT
cana-1053	648	7	=	=	PUNCT
cana-1053	649	1	+	+	NOUN
cana-1053	649	2			X
cana-1053	649	3	.	.	PUNCT
cana-1053	650	1	accordingly	accordingly	ADV
cana-1053	650	2	(	(	PUNCT
cana-1053	650	3	2.38	2.38	NUM
cana-1053	650	4	)	)	PUNCT
cana-1053	650	5	holds	hold	VERB
cana-1053	650	6	,	,	PUNCT
cana-1053	650	7	when	when	SCONJ
cana-1053	650	8	2n=	2n=	NUM
cana-1053	650	9	,	,	PUNCT
cana-1053	650	10	but	but	CCONJ
cana-1053	650	11	1	1	NUM
cana-1053	650	12	1p	1p	NUM
cana-1053	650	13	q	q	NOUN
cana-1053	650	14	and	and	CCONJ
cana-1053	650	15	2	2	NUM
cana-1053	650	16	2p	2p	NUM
cana-1053	650	17	q	q	NOUN
cana-1053	650	18	.	.	PUNCT
cana-1053	651	1	here	here	ADV
cana-1053	651	2	2	2	NUM
cana-1053	651	3	2	2	NUM
cana-1053	651	4	2	2	NUM
cana-1053	651	5	2	2	NUM
cana-1053	651	6	1	1	NUM
cana-1053	651	7	2	2	NUM
cana-1053	651	8	1	1	NUM
cana-1053	651	9	2	2	NUM
cana-1053	651	10	10	10	NUM
cana-1053	651	11	1	1	NUM
cana-1053	651	12	16	16	NUM
cana-1053	651	13	2	2	NUM
cana-1053	651	14	q	q	NOUN
cana-1053	651	15	q	q	NOUN
cana-1053	651	16	p	p	X
cana-1053	651	17	p+	p+	NOUN
cana-1053	651	18	=	=	SYM
cana-1053	651	19			ADJ
cana-1053	651	20	=	=	PUNCT
cana-1053	652	1	+	+	CCONJ
cana-1053	652	2	.	.	PUNCT
cana-1053	653	1	communications	communication	NOUN
cana-1053	653	2	on	on	ADP
cana-1053	653	3	applied	apply	VERB
cana-1053	653	4	nonlinear	nonlinear	ADJ
cana-1053	653	5	analysis	analysis	NOUN
cana-1053	653	6	issn	issn	NOUN
cana-1053	653	7	:	:	PUNCT
cana-1053	653	8	1074	1074	NUM
cana-1053	653	9	-	-	PUNCT
cana-1053	653	10	133x	133x	NUM
cana-1053	653	11	vol	vol	NOUN
cana-1053	653	12	31	31	NUM
cana-1053	653	13	no	no	NOUN
cana-1053	653	14	.	.	PUNCT
cana-1053	654	1	5s	5s	NUM
cana-1053	654	2	(	(	PUNCT
cana-1053	654	3	2024	2024	NUM
cana-1053	654	4	)	)	PUNCT
cana-1053	654	5	338	338	NUM
cana-1053	654	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	654	7	let	let	VERB
cana-1053	654	8	us	we	PRON
cana-1053	654	9	pick	pick	VERB
cana-1053	654	10	out	out	ADP
cana-1053	654	11	,	,	PUNCT
cana-1053	654	12	i	i	PRON
cana-1053	655	1	i	i	PRON
cana-1053	656	1	i	i	PRON
cana-1053	656	2	ix	ix	ADP
cana-1053	656	3	p	p	PROPN
cana-1053	656	4	y	y	PROPN
cana-1053	656	5	q=	q=	ADV
cana-1053	656	6	=	=	SYM
cana-1053	656	7	,	,	PUNCT
cana-1053	656	8	1,	1,	NUM
cana-1053	656	9	...	...	PUNCT
cana-1053	656	10	,i	,i	PUNCT
cana-1053	656	11	n=	n=	ADJ
cana-1053	656	12	and	and	CCONJ
cana-1053	656	13	2n	2n	NUM
cana-1053	656	14	an	an	DET
cana-1053	656	15	integer	integer	NOUN
cana-1053	657	1	such	such	ADJ
cana-1053	657	2	that	that	PRON
cana-1053	657	3	*	*	PUNCT
cana-1053	658	1	i	i	PRON
cana-1053	658	2	np	np	ADV
cana-1053	658	3			NOUN
cana-1053	658	4	,	,	PUNCT
cana-1053	658	5	*	*	PUNCT
cana-1053	658	6	i	i	PRON
cana-1053	658	7	nq	nq	PROPN
cana-1053	658	8			NOUN
cana-1053	658	9	.	.	PUNCT
cana-1053	659	1	let	let	VERB
cana-1053	659	2	0	0	PROPN
cana-1053	659	3			X
cana-1053	659	4	,	,	PUNCT
cana-1053	659	5	1	1	PROPN
cana-1053	659	6			PROPN
cana-1053	659	7	,	,	PUNCT
cana-1053	659	8	be	be	AUX
cana-1053	659	9	a	a	DET
cana-1053	659	10	prearranged	prearranged	ADJ
cana-1053	659	11	real	real	ADJ
cana-1053	659	12	constant	constant	ADJ
cana-1053	659	13	.	.	PUNCT
cana-1053	660	1	if	if	SCONJ
cana-1053	660	2	1	1	NUM
cana-1053	660	3	1	1	NUM
cana-1053	660	4	n	n	NUM
cana-1053	660	5	n	n	NOUN
cana-1053	660	6	i	i	PRON
cana-1053	660	7	i	i	PRON
cana-1053	661	1	i	i	PRON
cana-1053	661	2	i	i	PRON
cana-1053	661	3	q	q	VERB
cana-1053	661	4	p	p	NOUN
cana-1053	661	5			X
cana-1053	661	6	=	=	SYM
cana-1053	661	7	=	=	SYM
cana-1053	661	8			PROPN
cana-1053	661	9			X
cana-1053	661	10	,	,	PUNCT
cana-1053	661	11	then	then	ADV
cana-1053	661	12	making	make	VERB
cana-1053	661	13	practice	practice	NOUN
cana-1053	661	14	of	of	ADP
cana-1053	661	15	lemma	lemma	PROPN
cana-1053	661	16	3.1	3.1	NUM
cana-1053	661	17	,	,	PUNCT
cana-1053	661	18	it	it	PRON
cana-1053	661	19	monitors	monitor	VERB
cana-1053	661	20	that	that	SCONJ
cana-1053	661	21	(	(	PUNCT
cana-1053	661	22	p;q	p;q	ADV
cana-1053	661	23	)	)	PUNCT
cana-1053	661	24	(	(	PUNCT
cana-1053	661	25	p)i	p)i	X
cana-1053	661	26	h	h	VERB
cana-1053	661	27			NOUN
cana-1053	661	28	.	.	PUNCT
cana-1053	662	1	if	if	SCONJ
cana-1053	662	2	the	the	DET
cana-1053	662	3	probability	probability	NOUN
cana-1053	662	4	distributions	distribution	VERB
cana-1053	662	5	*	*	PUNCT
cana-1053	662	6	i	i	PRON
cana-1053	662	7	np	np	ADV
cana-1053	662	8			NOUN
cana-1053	662	9	,	,	PUNCT
cana-1053	662	10	*	*	PUNCT
cana-1053	662	11	i	i	PRON
cana-1053	662	12	nq	nq	PROPN
cana-1053	662	13			NOUN
cana-1053	662	14	are	be	AUX
cana-1053	662	15	such	such	ADJ
cana-1053	662	16	that	that	SCONJ
cana-1053	662	17	1	1	NUM
cana-1053	662	18	1	1	NUM
cana-1053	662	19	n	n	NUM
cana-1053	662	20	n	n	NOUN
cana-1053	663	1	i	i	PRON
cana-1053	663	2	i	i	PRON
cana-1053	664	1	i	i	PRON
cana-1053	664	2	i	i	PRON
cana-1053	665	1	p	p	NOUN
cana-1053	665	2	q	q	NOUN
cana-1053	665	3			X
cana-1053	665	4	=	=	SYM
cana-1053	665	5	=	=	SYM
cana-1053	665	6			PROPN
cana-1053	665	7			X
cana-1053	665	8	;	;	PUNCT
cana-1053	665	9	0	0	PROPN
cana-1053	665	10			X
cana-1053	665	11	,	,	PUNCT
cana-1053	665	12	1	1	PROPN
cana-1053	665	13			VERB
cana-1053	665	14	being	be	AUX
cana-1053	665	15	a	a	DET
cana-1053	665	16	specified	specified	ADJ
cana-1053	665	17	real	real	ADJ
cana-1053	665	18	constant	constant	ADJ
cana-1053	665	19	,	,	PUNCT
cana-1053	665	20	then	then	ADV
cana-1053	665	21	making	make	VERB
cana-1053	665	22	practice	practice	NOUN
cana-1053	665	23	of	of	ADP
cana-1053	665	24	(	(	PUNCT
cana-1053	665	25	2.21	2.21	NUM
cana-1053	665	26	)	)	PUNCT
cana-1053	665	27	,	,	PUNCT
cana-1053	665	28	(	(	PUNCT
cana-1053	665	29	2.22	2.22	NUM
cana-1053	665	30	)	)	PUNCT
cana-1053	665	31	,	,	PUNCT
cana-1053	665	32	(	(	PUNCT
cana-1053	665	33	2.23	2.23	NUM
cana-1053	665	34	)	)	PUNCT
cana-1053	665	35	,	,	PUNCT
cana-1053	665	36	(	(	PUNCT
cana-1053	665	37	1.2	1.2	NUM
cana-1053	665	38	)	)	PUNCT
cana-1053	665	39	and	and	CCONJ
cana-1053	665	40	(	(	PUNCT
cana-1053	665	41	2.26	2.26	NUM
cana-1053	665	42	)	)	PUNCT
cana-1053	665	43	,	,	PUNCT
cana-1053	665	44	it	it	PRON
cana-1053	665	45	follows	follow	VERB
cana-1053	665	46	that	that	SCONJ
cana-1053	665	47	(	(	PUNCT
cana-1053	665	48	p;q	p;q	ADV
cana-1053	665	49	)	)	PUNCT
cana-1053	665	50	(	(	PUNCT
cana-1053	665	51	q)i	q)i	ADP
cana-1053	665	52	h	h	VERB
cana-1053	665	53			NOUN
cana-1053	665	54	if	if	SCONJ
cana-1053	665	55	1	1	PROPN
cana-1053	665	56			VERB
cana-1053	665	57	and	and	CCONJ
cana-1053	665	58	(	(	PUNCT
cana-1053	665	59	q;p	q;p	NOUN
cana-1053	665	60	)	)	PUNCT
cana-1053	665	61	(	(	PUNCT
cana-1053	665	62	p)i	p)i	X
cana-1053	665	63	h	h	VERB
cana-1053	665	64			NOUN
cana-1053	665	65	if	if	SCONJ
cana-1053	665	66	0	0	NUM
cana-1053	665	67	1	1	NUM
cana-1053	665	68			PROPN
cana-1053	665	69	.	.	PUNCT
cana-1053	666	1	proposition	proposition	NOUN
cana-1053	666	2	3.4	3.4	NUM
cana-1053	666	3	.	.	PUNCT
cana-1053	667	1	let	let	VERB
cana-1053	667	2	0	0	PROPN
cana-1053	667	3			X
cana-1053	667	4	,	,	PUNCT
cana-1053	667	5	1	1	PROPN
cana-1053	667	6			PROPN
cana-1053	667	7	be	be	VERB
cana-1053	667	8	a	a	DET
cana-1053	667	9	specified	specified	ADJ
cana-1053	667	10	real	real	ADJ
cana-1053	667	11	constant	constant	ADJ
cana-1053	667	12	and	and	CCONJ
cana-1053	667	13	with	with	ADP
cana-1053	667	14	the	the	DET
cana-1053	667	15	above	above	ADV
cana-1053	667	16	acknowledged	acknowledge	VERB
cana-1053	667	17	conventions	convention	NOUN
cana-1053	667	18	and	and	CCONJ
cana-1053	667	19	also	also	ADV
cana-1053	667	20	for	for	ADP
cana-1053	667	21	1n	1n	NUM
cana-1053	667	22	,	,	PUNCT
cana-1053	667	23	the	the	DET
cana-1053	667	24	subsequent	subsequent	ADJ
cana-1053	667	25	inequality	inequality	NOUN
cana-1053	667	26	always	always	ADV
cana-1053	667	27	hold	hold	VERB
cana-1053	667	28	good	good	ADJ
cana-1053	667	29	:	:	PUNCT
cana-1053	667	30	1	1	NUM
cana-1053	667	31	1	1	NUM
cana-1053	667	32	1	1	NUM
cana-1053	667	33	1	1	NUM
cana-1053	667	34	2	2	NUM
cana-1053	667	35	2	2	NUM
cana-1053	667	36	11	11	NUM
cana-1053	667	37	1	1	NUM
cana-1053	667	38	1	1	NUM
cana-1053	667	39	log	log	NOUN
cana-1053	667	40	log	log	NOUN
cana-1053	667	41	n	n	NOUN
cana-1053	667	42	in	in	ADP
cana-1053	667	43	n	n	PRON
cana-1053	668	1	i	i	PRON
cana-1053	669	1	i	i	PRON
cana-1053	670	1	i	i	PRON
cana-1053	671	1	i	i	PRON
cana-1053	672	1	i	i	VERB
cana-1053	673	1	i	i	PRON
cana-1053	674	1	n	n	VERB
cana-1053	675	1	i	i	PRON
cana-1053	676	1	i	i	PRON
cana-1053	677	1	i	i	PRON
cana-1053	678	1	i	i	PRON
cana-1053	679	1	i	i	VERB
cana-1053	679	2	x	x	VERB
cana-1053	680	1	x	x	VERB
cana-1053	680	2	y	y	NOUN
cana-1053	680	3	y	y	PROPN
cana-1053	680	4	x	x	SYM
cana-1053	680	5	y	y	NOUN
cana-1053	680	6	x	x	SYM
cana-1053	680	7	y	y	NOUN
cana-1053	680	8			X
cana-1053	680	9			X
cana-1053	680	10			X
cana-1053	680	11			X
cana-1053	680	12	−	−	PROPN
cana-1053	680	13	−	−	NOUN
cana-1053	680	14	−	−	NOUN
cana-1053	680	15	=	=	SYM
cana-1053	680	16	−=	−=	NOUN
cana-1053	680	17	=	=	SYM
cana-1053	681	1	=	=	SYM
cana-1053	681	2			NOUN
cana-1053	681	3			PROPN
cana-1053	681	4			PROPN
cana-1053	682	1			PROPN
cana-1053	682	2			NOUN
cana-1053	682	3			PROPN
cana-1053	682	4			PROPN
cana-1053	682	5			NOUN
cana-1053	682	6			PROPN
cana-1053	683	1			PROPN
cana-1053	683	2			PROPN
cana-1053	683	3			PROPN
cana-1053	683	4			NOUN
cana-1053	683	5			PROPN
cana-1053	684	1			PROPN
cana-1053	685	1			PROPN
cana-1053	685	2			PROPN
cana-1053	685	3			X
cana-1053	685	4			X
cana-1053	685	5			X
cana-1053	685	6			X
cana-1053	685	7	(	(	PUNCT
cana-1053	685	8	2.39	2.39	NUM
cana-1053	685	9	)	)	PUNCT
cana-1053	685	10	if	if	SCONJ
cana-1053	685	11	1n=	1n=	NUM
cana-1053	685	12	,	,	PUNCT
cana-1053	685	13	then	then	ADV
cana-1053	685	14	(	(	PUNCT
cana-1053	685	15	2.39	2.39	NUM
cana-1053	685	16	)	)	PUNCT
cana-1053	685	17	holds	hold	VERB
cana-1053	685	18	as	as	ADP
cana-1053	685	19	an	an	DET
cana-1053	685	20	equality	equality	NOUN
cana-1053	685	21	.	.	PUNCT
cana-1053	686	1	if	if	SCONJ
cana-1053	686	2	2n	2n	NUM
cana-1053	686	3	,	,	PUNCT
cana-1053	686	4	then	then	ADV
cana-1053	686	5	the	the	DET
cana-1053	686	6	sign	sign	NOUN
cana-1053	686	7	of	of	ADP
cana-1053	686	8	equality	equality	NOUN
cana-1053	686	9	in	in	ADP
cana-1053	686	10	(	(	PUNCT
cana-1053	686	11	2.39	2.39	NUM
cana-1053	686	12	)	)	PUNCT
cana-1053	686	13	holds	hold	VERB
cana-1053	686	14	only	only	ADV
cana-1053	686	15	for	for	ADP
cana-1053	686	16	the	the	DET
cana-1053	686	17	equivalence	equivalence	NOUN
cana-1053	686	18	in	in	ADP
cana-1053	686	19	iy	iy	PROPN
cana-1053	686	20	.	.	PUNCT
cana-1053	687	1	proof	proof	NOUN
cana-1053	687	2	.	.	PUNCT
cana-1053	688	1	if	if	SCONJ
cana-1053	688	2	1n=	1n=	NUM
cana-1053	688	3	,	,	PUNCT
cana-1053	688	4	then	then	ADV
cana-1053	688	5	the	the	DET
cana-1053	688	6	insignia	insignia	NOUN
cana-1053	688	7	of	of	ADP
cana-1053	688	8	egalitarianism	egalitarianism	NOUN
cana-1053	688	9	clutches	clutch	NOUN
cana-1053	688	10	in	in	ADP
cana-1053	688	11	(	(	PUNCT
cana-1053	688	12	2.39	2.39	NUM
cana-1053	688	13	)	)	PUNCT
cana-1053	688	14	as	as	SCONJ
cana-1053	688	15	both	both	CCONJ
cana-1053	688	16	the	the	DET
cana-1053	688	17	sides	side	NOUN
cana-1053	688	18	of	of	ADP
cana-1053	688	19	it	it	PRON
cana-1053	688	20	reduce	reduce	VERB
cana-1053	688	21	to	to	ADP
cana-1053	688	22	1	1	NUM
cana-1053	688	23	1	1	NUM
cana-1053	688	24	1	1	NUM
cana-1053	688	25	2	2	NUM
cana-1053	688	26	1(1	1(1	NUM
cana-1053	688	27	)	)	PUNCT
cana-1053	688	28	logx	logx	PROPN
cana-1053	688	29	y	y	PROPN
cana-1053	688	30	y	y	PROPN
cana-1053	688	31	−−	−−	PROPN
cana-1053	688	32	.	.	PUNCT
cana-1053	689	1	now	now	ADV
cana-1053	689	2	consider	consider	VERB
cana-1053	689	3	2n	2n	NUM
cana-1053	689	4	.	.	PUNCT
cana-1053	690	1	in	in	ADP
cana-1053	690	2	this	this	DET
cana-1053	690	3	situation	situation	NOUN
cana-1053	690	4	,	,	PUNCT
cana-1053	690	5	by	by	ADP
cana-1053	690	6	(	(	PUNCT
cana-1053	690	7	2.5	2.5	NUM
cana-1053	690	8	)	)	PUNCT
cana-1053	690	9	,	,	PUNCT
cana-1053	690	10	we	we	PRON
cana-1053	690	11	acquire	acquire	VERB
cana-1053	690	12	the	the	DET
cana-1053	690	13	succeeding	succeed	VERB
cana-1053	690	14	manifestation	manifestation	NOUN
cana-1053	690	15	in	in	ADP
cana-1053	690	16	the	the	DET
cana-1053	690	17	form	form	NOUN
cana-1053	690	18	of	of	ADP
cana-1053	690	19	an	an	DET
cana-1053	690	20	inequality	inequality	NOUN
cana-1053	690	21	:	:	PUNCT
cana-1053	690	22	1	1	NUM
cana-1053	690	23	2	2	NUM
cana-1053	690	24	2	2	NUM
cana-1053	690	25	1	1	NUM
cana-1053	690	26	11	11	NUM
cana-1053	690	27	1	1	NUM
cana-1053	690	28	1	1	NUM
cana-1053	690	29	log	log	NOUN
cana-1053	690	30	log	log	NOUN
cana-1053	690	31	n	n	NOUN
cana-1053	690	32	in	in	ADP
cana-1053	690	33	n	n	PRON
cana-1053	691	1	i	i	PRON
cana-1053	691	2	i	i	PRON
cana-1053	691	3	i	i	PRON
cana-1053	691	4	in	in	ADP
cana-1053	691	5	i	i	PRON
cana-1053	692	1	i	i	PRON
cana-1053	692	2	i	i	PRON
cana-1053	693	1	i	i	PRON
cana-1053	693	2	i	i	PRON
cana-1053	694	1	i	i	PRON
cana-1053	694	2	i	i	VERB
cana-1053	694	3	x	x	VERB
cana-1053	695	1	x	x	PUNCT
cana-1053	695	2	x	x	PUNCT
cana-1053	695	3	x	x	PUNCT
cana-1053	695	4	x	x	SYM
cana-1053	695	5	y	y	NOUN
cana-1053	695	6	x	x	SYM
cana-1053	695	7	y	y	NOUN
cana-1053	695	8			NOUN
cana-1053	695	9			X
cana-1053	695	10	=	=	SYM
cana-1053	695	11	−	−	PROPN
cana-1053	696	1	−=	−=	NOUN
cana-1053	696	2	=	=	SYM
cana-1053	696	3	=	=	SYM
cana-1053	697	1			NOUN
cana-1053	697	2			PROPN
cana-1053	697	3			PROPN
cana-1053	698	1			PROPN
cana-1053	698	2			NOUN
cana-1053	698	3			PROPN
cana-1053	699	1			PROPN
cana-1053	699	2			PROPN
cana-1053	700	1			NUM
cana-1053	701	1			PROPN
cana-1053	702	1			PROPN
cana-1053	702	2			VERB
cana-1053	702	3			NOUN
cana-1053	702	4			PROPN
cana-1053	702	5			PROPN
cana-1053	702	6			PROPN
cana-1053	702	7			PROPN
cana-1053	702	8			X
cana-1053	702	9			X
cana-1053	702	10			X
cana-1053	702	11			X
cana-1053	702	12	which	which	PRON
cana-1053	702	13	,	,	PUNCT
cana-1053	702	14	upon	upon	SCONJ
cana-1053	702	15	simplification	simplification	NOUN
cana-1053	702	16	,	,	PUNCT
cana-1053	702	17	gives	give	VERB
cana-1053	702	18	(	(	PUNCT
cana-1053	702	19	2.39	2.39	NUM
cana-1053	702	20	)	)	PUNCT
cana-1053	702	21	with	with	ADP
cana-1053	702	22	the	the	DET
cana-1053	702	23	insignia	insignia	NOUN
cana-1053	702	24	of	of	ADP
cana-1053	702	25	equivalence	equivalence	NOUN
cana-1053	702	26	only	only	ADV
cana-1053	702	27	for	for	ADP
cana-1053	702	28	the	the	DET
cana-1053	702	29	uniformity	uniformity	NOUN
cana-1053	702	30	in	in	ADP
cana-1053	702	31	iy	iy	PROPN
cana-1053	702	32	.	.	PUNCT
cana-1053	703	1	next	next	ADV
cana-1053	703	2	,	,	PUNCT
cana-1053	703	3	we	we	PRON
cana-1053	703	4	deliberate	deliberate	VERB
cana-1053	703	5	the	the	DET
cana-1053	703	6	significance	significance	NOUN
cana-1053	703	7	of	of	ADP
cana-1053	703	8	proposition	proposition	NOUN
cana-1053	703	9	3.4	3.4	NUM
cana-1053	703	10	in	in	ADP
cana-1053	703	11	the	the	DET
cana-1053	703	12	field	field	NOUN
cana-1053	703	13	of	of	ADP
cana-1053	703	14	information	information	NOUN
cana-1053	703	15	theory	theory	NOUN
cana-1053	703	16	.	.	PUNCT
cana-1053	704	1	we	we	PRON
cana-1053	704	2	demonstrate	demonstrate	VERB
cana-1053	704	3	that	that	SCONJ
cana-1053	704	4	the	the	DET
cana-1053	704	5	inaccuracy	inaccuracy	ADJ
cana-1053	704	6	model	model	NOUN
cana-1053	704	7	(	(	PUNCT
cana-1053	704	8	p;q)i	p;q)i	NOUN
cana-1053	704	9	is	be	AUX
cana-1053	704	10	a	a	DET
cana-1053	704	11	nonincreasing	nonincrease	VERB
cana-1053	704	12	function	function	NOUN
cana-1053	704	13	of	of	ADP
cana-1053	704	14			X
cana-1053	704	15	,	,	PUNCT
cana-1053	704	16	0	0	PROPN
cana-1053	704	17			X
cana-1053	704	18	,	,	PUNCT
cana-1053	704	19	1	1	PROPN
cana-1053	704	20			PROPN
cana-1053	704	21	.	.	PUNCT
cana-1053	705	1	indeed	indeed	ADV
cana-1053	705	2	,	,	PUNCT
cana-1053	705	3	we	we	PRON
cana-1053	705	4	have	have	VERB
cana-1053	705	5	communications	communication	NOUN
cana-1053	705	6	on	on	ADP
cana-1053	705	7	applied	apply	VERB
cana-1053	705	8	nonlinear	nonlinear	ADJ
cana-1053	705	9	analysis	analysis	NOUN
cana-1053	705	10	issn	issn	NOUN
cana-1053	705	11	:	:	PUNCT
cana-1053	705	12	1074	1074	NUM
cana-1053	705	13	-	-	PUNCT
cana-1053	705	14	133x	133x	NUM
cana-1053	705	15	vol	vol	NOUN
cana-1053	705	16	31	31	NUM
cana-1053	705	17	no	no	NOUN
cana-1053	705	18	.	.	PUNCT
cana-1053	706	1	5s	5s	NUM
cana-1053	706	2	(	(	PUNCT
cana-1053	706	3	2024	2024	NUM
cana-1053	706	4	)	)	PUNCT
cana-1053	706	5	339	339	NUM
cana-1053	706	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	706	7	1	1	NUM
cana-1053	706	8	1	1	NUM
cana-1053	706	9	1	1	NUM
cana-1053	706	10	2	2	NUM
cana-1053	706	11	1	1	NUM
cana-1053	706	12	1	1	NUM
cana-1053	706	13	22	22	NUM
cana-1053	706	14	1	1	NUM
cana-1053	706	15	1	1	NUM
cana-1053	706	16	1	1	NUM
cana-1053	706	17	log	log	NOUN
cana-1053	706	18	1	1	NUM
cana-1053	706	19	(	(	PUNCT
cana-1053	706	20	p;q	p;q	ADV
cana-1053	706	21	)	)	PUNCT
cana-1053	706	22	log	log	NOUN
cana-1053	706	23	(	(	PUNCT
cana-1053	706	24	1	1	NUM
cana-1053	706	25	)	)	PUNCT
cana-1053	706	26	n	n	CCONJ
cana-1053	707	1	n	n	NOUN
cana-1053	708	1	i	i	PRON
cana-1053	709	1	i	i	PRON
cana-1053	710	1	i	i	PRON
cana-1053	711	1	i	i	PRON
cana-1053	712	1	i	i	PRON
cana-1053	713	1	i	i	VERB
cana-1053	714	1	i	i	VERB
cana-1053	715	1	n	n	VERB
cana-1053	716	1	n	n	NOUN
cana-1053	717	1	i	i	PRON
cana-1053	718	1	i	i	PRON
cana-1053	719	1	i	i	PRON
cana-1053	720	1	i	i	PRON
cana-1053	721	1	i	i	PRON
cana-1053	721	2	p	p	VERB
cana-1053	721	3	q	q	X
cana-1053	721	4	p	p	X
cana-1053	721	5	q	q	X
cana-1053	721	6	q	q	X
cana-1053	722	1	d	d	INTJ
cana-1053	722	2	i	i	NOUN
cana-1053	723	1	d	d	X
cana-1053	723	2	p	p	X
cana-1053	723	3	p	p	X
cana-1053	723	4	q	q	X
cana-1053	723	5			NOUN
cana-1053	723	6			X
cana-1053	723	7			X
cana-1053	723	8			PRON
cana-1053	723	9			ADP
cana-1053	723	10			NOUN
cana-1053	723	11	−	−	PROPN
cana-1053	723	12	−	−	NOUN
cana-1053	723	13	−	−	PROPN
cana-1053	724	1	=	=	PUNCT
cana-1053	724	2	=	=	PUNCT
cana-1053	725	1	−	−	PROPN
cana-1053	725	2	=	=	SYM
cana-1053	725	3	=	=	SYM
cana-1053	725	4			PROPN
cana-1053	725	5			ADJ
cana-1053	725	6			NOUN
cana-1053	725	7			PROPN
cana-1053	725	8			NOUN
cana-1053	725	9	=	=	X
cana-1053	725	10	+	+	CCONJ
cana-1053	725	11			NOUN
cana-1053	725	12	−	−	X
cana-1053	725	13			NOUN
cana-1053	725	14			NOUN
cana-1053	725	15			NOUN
cana-1053	725	16			PROPN
cana-1053	725	17			X
cana-1053	725	18			X
cana-1053	725	19			X
cana-1053	725	20			X
cana-1053	725	21	(	(	PUNCT
cana-1053	725	22	2.40	2.40	NUM
cana-1053	725	23	)	)	PUNCT
cana-1053	725	24	if	if	SCONJ
cana-1053	725	25	,	,	PUNCT
cana-1053	725	26	in	in	ADP
cana-1053	725	27	equation	equation	NOUN
cana-1053	725	28	(	(	PUNCT
cana-1053	725	29	2.39	2.39	NUM
cana-1053	725	30	)	)	PUNCT
cana-1053	725	31	we	we	PRON
cana-1053	725	32	take	take	VERB
cana-1053	725	33	i	i	PRON
cana-1053	725	34	ix	ix	ADV
cana-1053	725	35	p=	p=	PROPN
cana-1053	725	36	,	,	PUNCT
cana-1053	726	1	i	i	PRON
cana-1053	726	2	iy	iy	INTJ
cana-1053	726	3	q=	q=	ADV
cana-1053	726	4	,	,	PUNCT
cana-1053	726	5	such	such	ADJ
cana-1053	726	6	that	that	PRON
cana-1053	726	7	*	*	PUNCT
cana-1053	726	8	i	i	PRON
cana-1053	726	9	np	np	ADV
cana-1053	726	10			NOUN
cana-1053	726	11	,	,	PUNCT
cana-1053	726	12	*	*	PUNCT
cana-1053	726	13	i	i	PRON
cana-1053	726	14	nq	nq	PROPN
cana-1053	726	15			NOUN
cana-1053	726	16	,	,	PUNCT
cana-1053	726	17	then	then	ADV
cana-1053	726	18	the	the	DET
cana-1053	726	19	term	term	NOUN
cana-1053	726	20	within	within	ADP
cana-1053	726	21	brackets	bracket	NOUN
cana-1053	726	22	on	on	ADP
cana-1053	726	23	the	the	DET
cana-1053	726	24	right	right	ADJ
cana-1053	726	25	hand	hand	NOUN
cana-1053	726	26	side	side	NOUN
cana-1053	726	27	of	of	ADP
cana-1053	726	28	(	(	PUNCT
cana-1053	726	29	2.40	2.40	NUM
cana-1053	726	30	)	)	PUNCT
cana-1053	726	31	is	be	AUX
cana-1053	726	32	a	a	DET
cana-1053	726	33	nonpositive	nonpositive	ADJ
cana-1053	726	34	real	real	ADJ
cana-1053	726	35	number	number	NOUN
cana-1053	726	36	.	.	PUNCT
cana-1053	727	1	consequently	consequently	ADV
cana-1053	727	2	,	,	PUNCT
cana-1053	727	3	(	(	PUNCT
cana-1053	727	4	p;q	p;q	ADV
cana-1053	727	5	)	)	PUNCT
cana-1053	727	6	0	0	PUNCT
cana-1053	728	1	d	d	NOUN
cana-1053	728	2	i	i	PRON
cana-1053	728	3	d	d	NOUN
cana-1053	728	4			X
cana-1053	728	5			X
cana-1053	728	6			NOUN
cana-1053	728	7	.	.	PUNCT
cana-1053	729	1	hence	hence	ADV
cana-1053	729	2	,	,	PUNCT
cana-1053	729	3	(	(	PUNCT
cana-1053	729	4	p;q)i	p;q)i	NOUN
cana-1053	729	5	is	be	AUX
cana-1053	729	6	a	a	DET
cana-1053	729	7	nonincreasing	nonincrease	VERB
cana-1053	729	8	function	function	NOUN
cana-1053	729	9	of	of	ADV
cana-1053	729	10	.	.	PUNCT
cana-1053	730	1	now	now	ADV
cana-1053	730	2	suppose	suppose	VERB
cana-1053	730	3	that	that	SCONJ
cana-1053	730	4	*	*	PUNCT
cana-1053	730	5	i	i	PRON
cana-1053	730	6	nq	nq	PROPN
cana-1053	730	7			NOUN
cana-1053	730	8	has	have	VERB
cana-1053	730	9	at	at	ADV
cana-1053	730	10	least	least	ADJ
cana-1053	730	11	two	two	NUM
cana-1053	730	12	unequal	unequal	ADJ
cana-1053	730	13	elements	element	NOUN
cana-1053	730	14	.	.	PUNCT
cana-1053	731	1	then	then	ADV
cana-1053	731	2	,	,	PUNCT
cana-1053	731	3	the	the	DET
cana-1053	731	4	term	term	NOUN
cana-1053	731	5	within	within	ADP
cana-1053	731	6	brackets	bracket	NOUN
cana-1053	731	7	on	on	ADP
cana-1053	731	8	the	the	DET
cana-1053	731	9	right	right	ADJ
cana-1053	731	10	hand	hand	NOUN
cana-1053	731	11	side	side	NOUN
cana-1053	731	12	of	of	ADP
cana-1053	731	13	(	(	PUNCT
cana-1053	731	14	2.40	2.40	NUM
cana-1053	731	15	)	)	PUNCT
cana-1053	731	16	is	be	AUX
cana-1053	731	17	a	a	DET
cana-1053	731	18	negative	negative	ADJ
cana-1053	731	19	real	real	ADJ
cana-1053	731	20	number	number	NOUN
cana-1053	731	21	.	.	PUNCT
cana-1053	732	1	hence	hence	ADV
cana-1053	732	2	,	,	PUNCT
cana-1053	732	3	(	(	PUNCT
cana-1053	732	4	p;q	p;q	ADV
cana-1053	732	5	)	)	PUNCT
cana-1053	732	6	0	0	PUNCT
cana-1053	733	1	d	d	NOUN
cana-1053	733	2	i	i	PRON
cana-1053	733	3	d	d	NOUN
cana-1053	733	4			X
cana-1053	733	5			X
cana-1053	733	6			PROPN
cana-1053	733	7	.	.	PUNCT
cana-1053	734	1	accordingly	accordingly	ADV
cana-1053	734	2	,	,	PUNCT
cana-1053	734	3	(	(	PUNCT
cana-1053	734	4	p;q)i	p;q)i	NOUN
cana-1053	734	5	is	be	AUX
cana-1053	734	6	a	a	DET
cana-1053	734	7	strictly	strictly	ADV
cana-1053	734	8	decreasing	decrease	VERB
cana-1053	734	9	function	function	NOUN
cana-1053	734	10	of	of	ADP
cana-1053	734	11			X
cana-1053	734	12	,	,	PUNCT
cana-1053	734	13	0	0	PROPN
cana-1053	734	14			X
cana-1053	734	15	,	,	PUNCT
cana-1053	734	16	1	1	PROPN
cana-1053	734	17			PROPN
cana-1053	734	18	.	.	PUNCT
cana-1053	735	1	in	in	ADP
cana-1053	735	2	this	this	DET
cana-1053	735	3	case	case	NOUN
cana-1053	735	4	,	,	PUNCT
cana-1053	735	5	we	we	PRON
cana-1053	735	6	demonstrate	demonstrate	VERB
cana-1053	735	7	that	that	SCONJ
cana-1053	735	8	the	the	DET
cana-1053	735	9	succeeding	succeed	VERB
cana-1053	735	10	inequalities	inequality	NOUN
cana-1053	735	11	grip	grip	NOUN
cana-1053	735	12	:	:	PUNCT
cana-1053	735	13	1(p;q	1(p;q	NUM
cana-1053	735	14	)	)	PUNCT
cana-1053	735	15	(	(	PUNCT
cana-1053	735	16	p;q)i	p;q)i	NOUN
cana-1053	735	17	i	i	PUNCT
cana-1053	735	18	if	if	SCONJ
cana-1053	735	19	0	0	NUM
cana-1053	735	20	1	1	NUM
cana-1053	735	21			PROPN
cana-1053	735	22	(	(	PUNCT
cana-1053	735	23	2.41	2.41	NUM
cana-1053	735	24	)	)	PUNCT
cana-1053	735	25	and	and	CCONJ
cana-1053	735	26	1(p;q	1(p;q	NUM
cana-1053	735	27	)	)	PUNCT
cana-1053	735	28	(	(	PUNCT
cana-1053	735	29	p;q)i	p;q)i	VERB
cana-1053	735	30	i	i	PRON
cana-1053	735	31			PROPN
cana-1053	735	32	if	if	SCONJ
cana-1053	735	33	1	1	PROPN
cana-1053	735	34			VERB
cana-1053	735	35	.	.	PUNCT
cana-1053	736	1	(	(	PUNCT
cana-1053	736	2	2.42	2.42	NUM
cana-1053	736	3	)	)	PUNCT
cana-1053	736	4	let	let	VERB
cana-1053	736	5	0	0	PROPN
cana-1053	736	6			X
cana-1053	736	7	,	,	PUNCT
cana-1053	737	1	0	0	ADJ
cana-1053	737	2			INTJ
cana-1053	737	3	,	,	PUNCT
cana-1053	737	4	1	1	PROPN
cana-1053	737	5			PROPN
cana-1053	737	6	,	,	PUNCT
cana-1053	737	7	1	1	PROPN
cana-1053	737	8			PROPN
cana-1053	737	9	.	.	PUNCT
cana-1053	738	1	without	without	ADP
cana-1053	738	2	any	any	DET
cana-1053	738	3	forfeiture	forfeiture	NOUN
cana-1053	738	4	of	of	ADP
cana-1053	738	5	simplification	simplification	NOUN
cana-1053	738	6	,	,	PUNCT
cana-1053	738	7	we	we	PRON
cana-1053	738	8	may	may	AUX
cana-1053	738	9	undertake	undertake	VERB
cana-1053	738	10	that	that	SCONJ
cana-1053	738	11			NUM
cana-1053	738	12			PROPN
cana-1053	738	13	.	.	PUNCT
cana-1053	739	1	then	then	ADV
cana-1053	739	2	(	(	PUNCT
cana-1053	739	3	p;q	p;q	ADV
cana-1053	739	4	)	)	PUNCT
cana-1053	739	5	(	(	PUNCT
cana-1053	739	6	p;q)i	p;q)i	VERB
cana-1053	739	7	i	i	X
cana-1053	739	8			NUM
cana-1053	739	9	(	(	PUNCT
cana-1053	739	10	2.43	2.43	NUM
cana-1053	739	11	)	)	PUNCT
cana-1053	739	12	next	next	ADV
cana-1053	739	13	,	,	PUNCT
cana-1053	739	14	we	we	PRON
cana-1053	739	15	distribute	distribute	VERB
cana-1053	739	16	the	the	DET
cana-1053	739	17	above	above	ADJ
cana-1053	739	18	conversation	conversation	NOUN
cana-1053	739	19	into	into	ADP
cana-1053	739	20	three	three	NUM
cana-1053	739	21	circumstances	circumstance	NOUN
cana-1053	739	22	:	:	PUNCT
cana-1053	739	23	case	case	NOUN
cana-1053	739	24	1	1	NUM
cana-1053	739	25	.	.	NOUN
cana-1053	739	26	0	0	NUM
cana-1053	740	1	1	1	PROPN
cana-1053	740	2			PROPN
cana-1053	740	3			PROPN
cana-1053	740	4			PROPN
cana-1053	740	5	.	.	PUNCT
cana-1053	741	1	letting	let	VERB
cana-1053	741	2	1	1	PRON
cana-1053	741	3	−→	−→	ADV
cana-1053	741	4	in	in	ADP
cana-1053	741	5	(	(	PUNCT
cana-1053	741	6	2.43	2.43	NUM
cana-1053	741	7	)	)	PUNCT
cana-1053	741	8	,	,	PUNCT
cana-1053	741	9	equation	equation	NOUN
cana-1053	741	10	(	(	PUNCT
cana-1053	741	11	2.41	2.41	NUM
cana-1053	741	12	)	)	PUNCT
cana-1053	741	13	follows	follow	VERB
cana-1053	741	14	.	.	PUNCT
cana-1053	742	1	case	case	NOUN
cana-1053	742	2	2	2	NUM
cana-1053	742	3	.	.	NOUN
cana-1053	742	4	0	0	NUM
cana-1053	743	1	1	1	PROPN
cana-1053	743	2			PROPN
cana-1053	743	3			PROPN
cana-1053	743	4			PROPN
cana-1053	743	5	.	.	PUNCT
cana-1053	744	1	letting	let	VERB
cana-1053	744	2	1	1	PROPN
cana-1053	744	3	+	+	NOUN
cana-1053	744	4	→	→	SYM
cana-1053	744	5	in	in	ADP
cana-1053	744	6	(	(	PUNCT
cana-1053	744	7	2.43	2.43	NUM
cana-1053	744	8	)	)	PUNCT
cana-1053	744	9	,	,	PUNCT
cana-1053	744	10	equation	equation	NOUN
cana-1053	744	11	(	(	PUNCT
cana-1053	744	12	2.41	2.41	NUM
cana-1053	744	13	)	)	PUNCT
cana-1053	744	14	follows	follow	VERB
cana-1053	744	15	.	.	PUNCT
cana-1053	745	1	case	case	NOUN
cana-1053	745	2	3	3	NUM
cana-1053	745	3	.	.	NOUN
cana-1053	745	4	1	1	NUM
cana-1053	745	5			X
cana-1053	745	6			PROPN
cana-1053	745	7			PROPN
cana-1053	745	8	.	.	PUNCT
cana-1053	746	1	letting	let	VERB
cana-1053	746	2	1	1	PROPN
cana-1053	747	1	+	+	NOUN
cana-1053	747	2	→	→	SYM
cana-1053	747	3	in	in	ADP
cana-1053	747	4	(	(	PUNCT
cana-1053	747	5	2.43	2.43	NUM
cana-1053	747	6	)	)	PUNCT
cana-1053	747	7	and	and	CCONJ
cana-1053	747	8	writing	write	VERB
cana-1053	747	9			NOUN
cana-1053	747	10	in	in	ADP
cana-1053	747	11	place	place	NOUN
cana-1053	747	12	of	of	ADP
cana-1053	747	13			PROPN
cana-1053	747	14	,	,	PUNCT
cana-1053	747	15	equation	equation	NOUN
cana-1053	747	16	(	(	PUNCT
cana-1053	747	17	2.42	2.42	NUM
cana-1053	747	18	)	)	PUNCT
cana-1053	747	19	follows	follow	VERB
cana-1053	747	20	.	.	PUNCT
cana-1053	748	1	both	both	CCONJ
cana-1053	748	2	the	the	DET
cana-1053	748	3	measures	measure	NOUN
cana-1053	748	4	1(p;q)i	1(p;q)i	PROPN
cana-1053	748	5	and	and	CCONJ
cana-1053	748	6	(	(	PUNCT
cana-1053	748	7	p;q)i	p;q)i	NOUN
cana-1053	748	8	,	,	PUNCT
cana-1053	748	9	0	0	PROPN
cana-1053	748	10			X
cana-1053	748	11	,	,	PUNCT
cana-1053	748	12	1	1	PROPN
cana-1053	748	13			PROPN
cana-1053	748	14	,	,	PUNCT
cana-1053	748	15	are	be	AUX
cana-1053	748	16	additive	additive	ADJ
cana-1053	748	17	.	.	PUNCT
cana-1053	749	1	nath	nath	PROPN
cana-1053	750	1	[	[	X
cana-1053	750	2	21	21	NUM
cana-1053	750	3	]	]	PUNCT
cana-1053	750	4	furthermore	furthermore	ADV
cana-1053	750	5	recommended	recommend	VERB
cana-1053	750	6	the	the	DET
cana-1053	750	7	the	the	DET
cana-1053	750	8	not	not	PART
cana-1053	750	9	-	-	PUNCT
cana-1053	750	10	additive	additive	ADJ
cana-1053	750	11	inaccuracy	inaccuracy	NOUN
cana-1053	750	12	model	model	NOUN
cana-1053	750	13	specified	specify	VERB
cana-1053	750	14	by	by	ADP
cana-1053	750	15	the	the	DET
cana-1053	750	16	consequent	consequent	ADJ
cana-1053	750	17	manifestation	manifestation	NOUN
cana-1053	750	18	:	:	PUNCT
cana-1053	750	19	communications	communication	NOUN
cana-1053	750	20	on	on	ADP
cana-1053	750	21	applied	apply	VERB
cana-1053	750	22	nonlinear	nonlinear	ADJ
cana-1053	750	23	analysis	analysis	NOUN
cana-1053	750	24	issn	issn	NOUN
cana-1053	750	25	:	:	PUNCT
cana-1053	750	26	1074	1074	NUM
cana-1053	750	27	-	-	PUNCT
cana-1053	750	28	133x	133x	NUM
cana-1053	750	29	vol	vol	NOUN
cana-1053	750	30	31	31	NUM
cana-1053	750	31	no	no	NOUN
cana-1053	750	32	.	.	PUNCT
cana-1053	751	1	5s	5s	NUM
cana-1053	751	2	(	(	PUNCT
cana-1053	751	3	2024	2024	NUM
cana-1053	751	4	)	)	PUNCT
cana-1053	751	5	340	340	NUM
cana-1053	751	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-1053	751	7	1	1	NUM
cana-1053	751	8	1	1	NUM
cana-1053	751	9	1	1	NUM
cana-1053	751	10	1	1	NUM
cana-1053	751	11	(	(	PUNCT
cana-1053	751	12	p;q	p;q	ADV
cana-1053	751	13	)	)	PUNCT
cana-1053	751	14	(	(	PUNCT
cana-1053	751	15	1	1	NUM
cana-1053	751	16	2	2	NUM
cana-1053	751	17	)	)	PUNCT
cana-1053	751	18	1	1	NUM
cana-1053	751	19	n	n	NOUN
cana-1053	752	1	i	i	PRON
cana-1053	752	2	i	i	PRON
cana-1053	753	1	i	i	PRON
cana-1053	753	2	i	i	PRON
cana-1053	754	1	p	p	VERB
cana-1053	754	2	q	q	NOUN
cana-1053	754	3			PRON
cana-1053	754	4	−	−	X
cana-1053	754	5	−	−	PROPN
cana-1053	754	6	−	−	PROPN
cana-1053	755	1	=	=	SYM
cana-1053	755	2			NOUN
cana-1053	755	3			NOUN
cana-1053	755	4	=	=	PUNCT
cana-1053	756	1	−	−	PROPN
cana-1053	757	1	−	−	PROPN
cana-1053	757	2			PROPN
cana-1053	757	3			PROPN
cana-1053	757	4			NOUN
cana-1053	757	5			X
cana-1053	757	6	(	(	PUNCT
cana-1053	757	7	2.44	2.44	NUM
cana-1053	757	8	)	)	PUNCT
cana-1053	757	9	where	where	SCONJ
cana-1053	757	10	0	0	PROPN
cana-1053	757	11			VERB
cana-1053	757	12	,	,	PUNCT
cana-1053	757	13	1	1	PROPN
cana-1053	757	14			NOUN
cana-1053	757	15	and	and	CCONJ
cana-1053	757	16	1n	1n	NUM
cana-1053	757	17	an	an	DET
cana-1053	757	18	integer	integer	NOUN
cana-1053	757	19	.	.	PUNCT
cana-1053	758	1	it	it	PRON
cana-1053	758	2	is	be	AUX
cana-1053	758	3	informal	informal	ADJ
cana-1053	758	4	to	to	PART
cana-1053	758	5	authenticate	authenticate	VERB
cana-1053	758	6	that	that	SCONJ
cana-1053	758	7	2	2	NUM
cana-1053	758	8	1	1	NUM
cana-1053	758	9	1	1	NUM
cana-1053	758	10	1	1	NUM
cana-1053	758	11	1	1	NUM
cana-1053	758	12	lim	lim	NOUN
cana-1053	758	13	(	(	PUNCT
cana-1053	758	14	p;q	p;q	ADV
cana-1053	758	15	)	)	PUNCT
cana-1053	758	16	log	log	NOUN
cana-1053	758	17	(	(	PUNCT
cana-1053	758	18	p;q	p;q	NOUN
cana-1053	758	19	)	)	PUNCT
cana-1053	759	1	n	n	CCONJ
cana-1053	760	1	i	i	PRON
cana-1053	761	1	i	i	PRON
cana-1053	762	1	i	i	PRON
cana-1053	763	1	i	i	PRON
cana-1053	763	2	p	p	VERB
cana-1053	764	1	i	i	PRON
cana-1053	764	2	q	q	NOUN
cana-1053	764	3			PUNCT
cana-1053	764	4	→	→	X
cana-1053	764	5	=	=	NOUN
cana-1053	764	6			NOUN
cana-1053	764	7			NOUN
cana-1053	764	8	=	=	PUNCT
cana-1053	765	1	=	=	SYM
cana-1053	765	2			PROPN
cana-1053	765	3			NOUN
cana-1053	766	1			PROPN
cana-1053	767	1			ADJ
cana-1053	767	2			NOUN
cana-1053	767	3			X
cana-1053	767	4	.	.	PUNCT
cana-1053	768	1	consequently	consequently	ADV
cana-1053	768	2	,	,	PUNCT
cana-1053	768	3	the	the	DET
cana-1053	768	4	additive	additive	ADJ
cana-1053	768	5	inaccuracy	inaccuracy	NOUN
cana-1053	768	6	1(p;q)i	1(p;q)i	NOUN
cana-1053	768	7	is	be	AUX
cana-1053	768	8	a	a	DET
cana-1053	768	9	limiting	limit	VERB
cana-1053	768	10	case	case	NOUN
cana-1053	768	11	of	of	ADP
cana-1053	768	12	the	the	DET
cana-1053	768	13	inaccuracy	inaccuracy	NOUN
cana-1053	768	14	(	(	PUNCT
cana-1053	768	15	p;q)i	p;q)i	NOUN
cana-1053	768	16	of	of	ADP
cana-1053	768	17	order	order	NOUN
cana-1053	768	18	0	0	PROPN
cana-1053	768	19			X
cana-1053	768	20	,	,	PUNCT
cana-1053	768	21	1	1	PROPN
cana-1053	768	22			NOUN
cana-1053	768	23	which	which	PRON
cana-1053	768	24	is	be	AUX
cana-1053	768	25	not	not	PART
cana-1053	768	26	additive	additive	ADJ
cana-1053	768	27	.	.	PUNCT
cana-1053	769	1	for	for	ADP
cana-1053	769	2	a	a	DET
cana-1053	769	3	prearranged	prearranged	ADJ
cana-1053	769	4	real	real	ADJ
cana-1053	769	5	constant	constant	ADJ
cana-1053	769	6	0	0	PROPN
cana-1053	769	7			INTJ
cana-1053	769	8	,	,	PUNCT
cana-1053	769	9	describe	describe	VERB
cana-1053	769	10	the	the	DET
cana-1053	769	11	function	function	NOUN
cana-1053	769	12	:	:	PUNCT
cana-1053	769	13	g	g	PROPN
cana-1053	769	14	r	r	NOUN
cana-1053	769	15	r→	r→	PROPN
cana-1053	769	16	as	as	ADP
cana-1053	769	17	1	1	NUM
cana-1053	769	18	1	1	NUM
cana-1053	769	19	(	(	PUNCT
cana-1053	769	20	1	1	NUM
cana-1053	769	21	)	)	PUNCT
cana-1053	769	22	(	(	PUNCT
cana-1053	769	23	1	1	NUM
cana-1053	769	24	2	2	NUM
cana-1053	769	25	)	)	PUNCT
cana-1053	769	26	(	(	PUNCT
cana-1053	769	27	1	1	NUM
cana-1053	769	28	2	2	NUM
cana-1053	769	29	)	)	PUNCT
cana-1053	769	30	if	if	SCONJ
cana-1053	769	31	0	0	NUM
cana-1053	769	32	,	,	PUNCT
cana-1053	769	33	1	1	NUM
cana-1053	769	34	(	(	PUNCT
cana-1053	769	35	)	)	PUNCT
cana-1053	769	36	if	if	SCONJ
cana-1053	769	37	1	1	NUM
cana-1053	769	38	.	.	PUNCT
cana-1053	770	1	x	x	SYM
cana-1053	770	2	g	g	NOUN
cana-1053	770	3	x	x	SYM
cana-1053	770	4	x	x	SYM
cana-1053	770	5			X
cana-1053	770	6			X
cana-1053	770	7			X
cana-1053	770	8			X
cana-1053	770	9			X
cana-1053	770	10			X
cana-1053	770	11	−	−	PROPN
cana-1053	770	12	−	−	PROPN
cana-1053	770	13	−	−	NOUN
cana-1053	771	1	−	−	PROPN
cana-1053	771	2	−	−	PROPN
cana-1053	771	3			PROPN
cana-1053	771	4			VERB
cana-1053	771	5			NUM
cana-1053	771	6	=	=	SYM
cana-1053	771	7			NUM
cana-1053	771	8			NUM
cana-1053	771	9	=	=	SYM
cana-1053	771	10			X
cana-1053	771	11	(	(	PUNCT
cana-1053	771	12	2.45	2.45	NUM
cana-1053	771	13	)	)	PUNCT
cana-1053	771	14	then	then	ADV
cana-1053	771	15	[	[	PUNCT
cana-1053	771	16	(	(	PUNCT
cana-1053	771	17	p;q	p;q	NOUN
cana-1053	771	18	)	)	PUNCT
cana-1053	771	19	]	]	PUNCT
cana-1053	772	1	(	(	PUNCT
cana-1053	772	2	p;q)g	p;q)g	X
cana-1053	772	3	i	i	PRON
cana-1053	772	4	i	i	NOUN
cana-1053	772	5			NOUN
cana-1053	772	6	=	=	SYM
cana-1053	772	7	,	,	PUNCT
cana-1053	772	8	0	0	PROPN
cana-1053	772	9			X
cana-1053	772	10	,	,	PUNCT
cana-1053	772	11	1	1	PROPN
cana-1053	772	12			PROPN
cana-1053	772	13	(	(	PUNCT
cana-1053	772	14	2.46	2.46	NUM
cana-1053	772	15	)	)	PUNCT
cana-1053	772	16	thus	thus	ADV
cana-1053	772	17	,	,	PUNCT
cana-1053	772	18	maximum	maximum	ADJ
cana-1053	772	19	number	number	NOUN
cana-1053	772	20	of	of	ADP
cana-1053	772	21	properties	property	NOUN
cana-1053	772	22	of	of	ADP
cana-1053	772	23	(	(	PUNCT
cana-1053	772	24	p;q)i	p;q)i	NOUN
cana-1053	772	25	may	may	AUX
cana-1053	772	26	be	be	AUX
cana-1053	772	27	consequential	consequential	ADJ
cana-1053	772	28	from	from	ADP
cana-1053	772	29	those	those	PRON
cana-1053	772	30	of	of	ADP
cana-1053	772	31	(	(	PUNCT
cana-1053	772	32	p;q)i	p;q)i	NOUN
cana-1053	772	33	by	by	ADP
cana-1053	772	34	exhausting	exhaust	VERB
cana-1053	772	35	the	the	DET
cana-1053	772	36	function	function	NOUN
cana-1053	772	37	g	g	NOUN
cana-1053	772	38	.	.	PUNCT
cana-1053	773	1	the	the	DET
cana-1053	773	2	inaccuracy	inaccuracy	ADJ
cana-1053	773	3	model	model	NOUN
cana-1053	773	4	(	(	PUNCT
cana-1053	773	5	p;q)i	p;q)i	NOUN
cana-1053	773	6	is	be	AUX
cana-1053	773	7	,	,	PUNCT
cana-1053	773	8	certainly	certainly	ADV
cana-1053	773	9	a	a	DET
cana-1053	773	10	generalization	generalization	NOUN
cana-1053	773	11	of	of	ADP
cana-1053	773	12	the	the	DET
cana-1053	773	13	entropy	entropy	PROPN
cana-1053	773	14	model	model	NOUN
cana-1053	773	15	(	(	PUNCT
cana-1053	773	16	p)h	p)h	NOUN
cana-1053	773	17	,	,	PUNCT
cana-1053	773	18	0	0	PROPN
cana-1053	773	19			X
cana-1053	773	20	,	,	PUNCT
cana-1053	773	21	1	1	PROPN
cana-1053	773	22			PROPN
cana-1053	773	23	,	,	PUNCT
cana-1053	773	24	demarcated	demarcate	VERB
cana-1053	773	25	by	by	ADP
cana-1053	773	26	(	(	PUNCT
cana-1053	773	27	1.3	1.3	NUM
cana-1053	773	28	)	)	PUNCT
cana-1053	773	29	.	.	PUNCT
cana-1053	774	1	3	3	X
cana-1053	774	2	.	.	X
cana-1053	774	3	concluding	conclude	VERB
cana-1053	774	4	remarks	remark	NOUN
cana-1053	774	5	:	:	PUNCT
cana-1053	774	6	inequalities	inequality	NOUN
cana-1053	774	7	in	in	ADP
cana-1053	774	8	information	information	NOUN
cana-1053	774	9	theory	theory	NOUN
cana-1053	774	10	participate	participate	VERB
cana-1053	774	11	with	with	ADP
cana-1053	774	12	an	an	DET
cana-1053	774	13	important	important	ADJ
cana-1053	774	14	accountability	accountability	NOUN
cana-1053	774	15	for	for	ADP
cana-1053	774	16	the	the	DET
cana-1053	774	17	management	management	NOUN
cana-1053	774	18	of	of	ADP
cana-1053	774	19	plentiful	plentiful	ADJ
cana-1053	774	20	looked	look	VERB
cana-1053	774	21	-	-	PUNCT
cana-1053	774	22	for	for	ADP
cana-1053	774	23	outcomes	outcome	NOUN
cana-1053	774	24	.	.	PUNCT
cana-1053	775	1	these	these	DET
cana-1053	775	2	mathematical	mathematical	ADJ
cana-1053	775	3	expressions	expression	NOUN
cana-1053	775	4	provide	provide	VERB
cana-1053	775	5	assistance	assistance	NOUN
cana-1053	775	6	to	to	ADP
cana-1053	775	7	researchers	researcher	NOUN
cana-1053	775	8	and	and	CCONJ
cana-1053	775	9	specialists	specialist	NOUN
cana-1053	775	10	to	to	PART
cana-1053	775	11	quantify	quantify	VERB
cana-1053	775	12	the	the	DET
cana-1053	775	13	boundaries	boundary	NOUN
cana-1053	775	14	of	of	ADP
cana-1053	775	15	communication	communication	NOUN
cana-1053	775	16	systems	system	NOUN
cana-1053	775	17	,	,	PUNCT
cana-1053	775	18	coding	code	VERB
cana-1053	775	19	structures	structure	NOUN
cana-1053	775	20	,	,	PUNCT
cana-1053	775	21	and	and	CCONJ
cana-1053	775	22	information	information	NOUN
cana-1053	775	23	dispensation	dispensation	NOUN
cana-1053	775	24	protocols	protocol	NOUN
cana-1053	775	25	.	.	PUNCT
cana-1053	776	1	by	by	ADP
cana-1053	776	2	instituting	institute	VERB
cana-1053	776	3	these	these	DET
cana-1053	776	4	constraints	constraint	NOUN
cana-1053	776	5	,	,	PUNCT
cana-1053	776	6	inequalities	inequality	NOUN
cana-1053	776	7	monitor	monitor	VERB
cana-1053	776	8	the	the	DET
cana-1053	776	9	project	project	NOUN
cana-1053	776	10	and	and	CCONJ
cana-1053	776	11	optimization	optimization	NOUN
cana-1053	776	12	of	of	ADP
cana-1053	776	13	communication	communication	NOUN
cana-1053	776	14	arrangements	arrangement	NOUN
cana-1053	776	15	,	,	PUNCT
cana-1053	776	16	confirming	confirm	VERB
cana-1053	776	17	effective	effective	ADJ
cana-1053	776	18	and	and	CCONJ
cana-1053	776	19	dependable	dependable	ADJ
cana-1053	776	20	information	information	NOUN
cana-1053	776	21	transfer	transfer	NOUN
cana-1053	776	22	.	.	PUNCT
cana-1053	777	1	the	the	DET
cana-1053	777	2	investigation	investigation	NOUN
cana-1053	777	3	of	of	ADP
cana-1053	777	4	inequalities	inequality	NOUN
cana-1053	777	5	facilitates	facilitate	VERB
cana-1053	777	6	the	the	DET
cana-1053	777	7	documentation	documentation	NOUN
cana-1053	777	8	of	of	ADP
cana-1053	777	9	optimal	optimal	ADJ
cana-1053	777	10	coding	code	VERB
cana-1053	777	11	approaches	approach	NOUN
cana-1053	777	12	that	that	PRON
cana-1053	777	13	maximize	maximize	VERB
cana-1053	777	14	the	the	DET
cana-1053	777	15	rate	rate	NOUN
cana-1053	777	16	of	of	ADP
cana-1053	777	17	information	information	NOUN
cana-1053	777	18	relocation	relocation	NOUN
cana-1053	777	19	while	while	SCONJ
cana-1053	777	20	minimizing	minimize	VERB
cana-1053	777	21	the	the	DET
cana-1053	777	22	likelihood	likelihood	NOUN
cana-1053	777	23	of	of	ADP
cana-1053	777	24	errors	error	NOUN
cana-1053	777	25	.	.	PUNCT
cana-1053	778	1	in	in	ADP
cana-1053	778	2	turn	turn	NOUN
cana-1053	778	3	,	,	PUNCT
cana-1053	778	4	this	this	PRON
cana-1053	778	5	has	have	VERB
cana-1053	778	6	insightful	insightful	ADJ
cana-1053	778	7	consequences	consequence	NOUN
cana-1053	778	8	for	for	ADP
cana-1053	778	9	the	the	DET
cana-1053	778	10	project	project	NOUN
cana-1053	778	11	of	of	ADP
cana-1053	778	12	robust	robust	ADJ
cana-1053	778	13	and	and	CCONJ
cana-1053	778	14	protected	protect	VERB
cana-1053	778	15	communication	communication	NOUN
cana-1053	778	16	arrangements	arrangement	NOUN
cana-1053	778	17	in	in	ADP
cana-1053	778	18	countless	countless	ADJ
cana-1053	778	19	presentations	presentation	NOUN
cana-1053	778	20	,	,	PUNCT
cana-1053	778	21	stretching	stretch	VERB
cana-1053	778	22	from	from	ADP
cana-1053	778	23	telecommunications	telecommunication	NOUN
cana-1053	778	24	to	to	ADP
cana-1053	778	25	data	datum	NOUN
cana-1053	778	26	packing	packing	NOUN
cana-1053	778	27	.	.	PUNCT
cana-1053	779	1	all	all	DET
cana-1053	779	2	these	these	DET
cana-1053	779	3	inequalities	inequality	NOUN
cana-1053	779	4	,	,	PUNCT
cana-1053	779	5	the	the	DET
cana-1053	779	6	propositions	proposition	NOUN
cana-1053	779	7	and	and	CCONJ
cana-1053	779	8	the	the	DET
cana-1053	779	9	definitions	definition	NOUN
cana-1053	779	10	mentioned	mention	VERB
cana-1053	779	11	and	and	CCONJ
cana-1053	779	12	demonstrated	demonstrate	VERB
cana-1053	779	13	in	in	ADP
cana-1053	779	14	the	the	DET
cana-1053	779	15	paper	paper	NOUN
cana-1053	779	16	are	be	AUX
cana-1053	779	17	worthwhile	worthwhile	ADJ
cana-1053	779	18	in	in	ADP
cana-1053	779	19	the	the	DET
cana-1053	779	20	areana	areana	PROPN
cana-1053	779	21	of	of	ADP
cana-1053	779	22	information	information	NOUN
cana-1053	779	23	theory	theory	NOUN
cana-1053	779	24	.	.	PUNCT
cana-1053	780	1	all	all	DET
cana-1053	780	2	those	those	DET
cana-1053	780	3	inequalities	inequality	NOUN
cana-1053	780	4	which	which	PRON
cana-1053	780	5	are	be	AUX
cana-1053	780	6	effective	effective	ADJ
cana-1053	780	7	for	for	ADP
cana-1053	780	8	positive	positive	ADJ
cana-1053	780	9	real	real	ADJ
cana-1053	780	10	numbers	number	NOUN
cana-1053	780	11	should	should	AUX
cana-1053	780	12	be	be	AUX
cana-1053	780	13	reflected	reflect	VERB
cana-1053	780	14	as	as	ADP
cana-1053	780	15	advantageous	advantageous	ADJ
cana-1053	780	16	from	from	ADP
cana-1053	780	17	theoretical	theoretical	ADJ
cana-1053	780	18	point	point	NOUN
cana-1053	780	19	of	of	ADP
cana-1053	780	20	understanding	understanding	NOUN
cana-1053	780	21	.	.	PUNCT
cana-1053	781	1	such	such	ADJ
cana-1053	781	2	inequalities	inequality	NOUN
cana-1053	781	3	can	can	AUX
cana-1053	781	4	be	be	AUX
cana-1053	781	5	demonstrated	demonstrate	VERB
cana-1053	781	6	by	by	ADP
cana-1053	781	7	employing	employ	VERB
cana-1053	781	8	additional	additional	ADJ
cana-1053	781	9	discrete	discrete	ADJ
cana-1053	781	10	entropic	entropic	ADJ
cana-1053	781	11	and	and	CCONJ
cana-1053	781	12	inaccuracy	inaccuracy	ADJ
cana-1053	781	13	models	model	NOUN
cana-1053	781	14	.	.	PUNCT
cana-1053	782	1	refrences	refrence	VERB
cana-1053	782	2	[	[	X
cana-1053	782	3	1	1	NUM
cana-1053	782	4	]	]	PUNCT
cana-1053	782	5	aczel	aczel	NOUN
cana-1053	782	6	,	,	PUNCT
cana-1053	782	7	j.	j.	PROPN
cana-1053	782	8	and	and	CCONJ
cana-1053	782	9	daroczy	daroczy	PROPN
cana-1053	782	10	,	,	PUNCT
cana-1053	782	11	z.	z.	PROPN
cana-1053	782	12	(	(	PUNCT
cana-1053	782	13	1975	1975	NUM
cana-1053	782	14	)	)	PUNCT
cana-1053	782	15	.	.	PUNCT
cana-1053	783	1	on	on	ADP
cana-1053	783	2	measures	measure	NOUN
cana-1053	783	3	of	of	ADP
cana-1053	783	4	information	information	NOUN
cana-1053	783	5	and	and	CCONJ
cana-1053	783	6	their	their	PRON
cana-1053	783	7	characterizations	characterization	NOUN
cana-1053	783	8	.	.	PUNCT
cana-1053	784	1	academic	academic	ADJ
cana-1053	784	2	press	press	NOUN
cana-1053	784	3	,	,	PUNCT
cana-1053	784	4	new	new	PROPN
cana-1053	784	5	york	york	PROPN
cana-1053	784	6	.	.	PUNCT
cana-1053	785	1	communications	communication	NOUN
cana-1053	785	2	on	on	ADP
cana-1053	785	3	applied	apply	VERB
cana-1053	785	4	nonlinear	nonlinear	ADJ
cana-1053	785	5	analysis	analysis	NOUN
cana-1053	785	6	issn	issn	NOUN
cana-1053	785	7	:	:	PUNCT
cana-1053	785	8	1074	1074	NUM
cana-1053	785	9	-	-	PUNCT
cana-1053	785	10	133x	133x	NUM
cana-1053	785	11	vol	vol	NOUN
cana-1053	785	12	31	31	NUM
cana-1053	785	13	no	no	NOUN
cana-1053	785	14	.	.	PUNCT
cana-1053	786	1	5s	5s	NUM
cana-1053	786	2	(	(	PUNCT
cana-1053	786	3	2024	2024	NUM
cana-1053	786	4	)	)	PUNCT
cana-1053	786	5	341	341	NUM
cana-1053	786	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	787	1	[	[	X
cana-1053	787	2	2	2	NUM
cana-1053	787	3	]	]	PUNCT
cana-1053	787	4	ash	ash	NOUN
cana-1053	787	5	,	,	PUNCT
cana-1053	787	6	r.	r.	PROPN
cana-1053	787	7	(	(	PUNCT
cana-1053	787	8	1965	1965	NUM
cana-1053	787	9	)	)	PUNCT
cana-1053	787	10	.	.	PUNCT
cana-1053	788	1	information	information	NOUN
cana-1053	788	2	theory	theory	NOUN
cana-1053	788	3	.	.	PUNCT
cana-1053	789	1	interscience	interscience	NOUN
cana-1053	789	2	publishers	publisher	NOUN
cana-1053	789	3	,	,	PUNCT
cana-1053	789	4	new	new	PROPN
cana-1053	789	5	york	york	PROPN
cana-1053	789	6	,	,	PUNCT
cana-1053	789	7	london	london	PROPN
cana-1053	789	8	,	,	PUNCT
cana-1053	789	9	sydney	sydney	PROPN
cana-1053	789	10	.	.	PUNCT
cana-1053	790	1	[	[	X
cana-1053	790	2	3	3	NUM
cana-1053	790	3	]	]	X
cana-1053	790	4	bulinski	bulinski	NOUN
cana-1053	790	5	,	,	PUNCT
cana-1053	790	6	a.	a.	NOUN
cana-1053	790	7	and	and	CCONJ
cana-1053	790	8	kozhevin	kozhevin	PROPN
cana-1053	790	9	,	,	PUNCT
cana-1053	790	10	a.	a.	NOUN
cana-1053	790	11	(	(	PUNCT
cana-1053	790	12	2019	2019	NUM
cana-1053	790	13	)	)	PUNCT
cana-1053	790	14	.	.	PUNCT
cana-1053	791	1	statistical	statistical	ADJ
cana-1053	791	2	estimation	estimation	NOUN
cana-1053	791	3	of	of	ADP
cana-1053	791	4	conditional	conditional	ADJ
cana-1053	791	5	shannon	shannon	PROPN
cana-1053	791	6	entropy	entropy	PROPN
cana-1053	791	7	.	.	PUNCT
cana-1053	792	1	esaim	esaim	VERB
cana-1053	792	2	probabability	probabability	NOUN
cana-1053	792	3	and	and	CCONJ
cana-1053	792	4	statistics	statistic	NOUN
cana-1053	792	5	23	23	NUM
cana-1053	792	6	:	:	PUNCT
cana-1053	793	1	350–386	350–386	NUM
cana-1053	793	2	.	.	PUNCT
cana-1053	794	1	[	[	X
cana-1053	794	2	4	4	NUM
cana-1053	794	3	]	]	SYM
cana-1053	794	4	da	da	PROPN
cana-1053	794	5	costa	costa	PROPN
cana-1053	794	6	bueno	bueno	PROPN
cana-1053	794	7	,	,	PUNCT
cana-1053	794	8	v.	v.	PROPN
cana-1053	794	9	and	and	CCONJ
cana-1053	794	10	balakrishnan	balakrishnan	PROPN
cana-1053	794	11	,	,	PUNCT
cana-1053	794	12	n.	n.	PROPN
cana-1053	794	13	(	(	PUNCT
cana-1053	794	14	2022	2022	NUM
cana-1053	794	15	)	)	PUNCT
cana-1053	794	16	.	.	PUNCT
cana-1053	795	1	a	a	DET
cana-1053	795	2	cumulative	cumulative	ADJ
cana-1053	795	3	residual	residual	ADJ
cana-1053	795	4	inaccuracy	inaccuracy	ADJ
cana-1053	795	5	measure	measure	NOUN
cana-1053	795	6	for	for	ADP
cana-1053	795	7	coherent	coherent	ADJ
cana-1053	795	8	systems	system	NOUN
cana-1053	795	9	at	at	ADP
cana-1053	795	10	component	component	NOUN
cana-1053	795	11	level	level	NOUN
cana-1053	795	12	and	and	CCONJ
cana-1053	795	13	under	under	ADP
cana-1053	795	14	nonhomogeneous	nonhomogeneous	ADJ
cana-1053	795	15	poisson	poisson	NOUN
cana-1053	795	16	processes	process	NOUN
cana-1053	795	17	.	.	PUNCT
cana-1053	796	1	probability	probability	NOUN
cana-1053	796	2	in	in	ADP
cana-1053	796	3	the	the	DET
cana-1053	796	4	engineering	engineering	NOUN
cana-1053	796	5	and	and	CCONJ
cana-1053	796	6	informational	informational	ADJ
cana-1053	796	7	sciences	science	NOUN
cana-1053	796	8	36(2	36(2	NUM
cana-1053	796	9	):	):	PUNCT
cana-1053	796	10	294–319	294–319	NUM
cana-1053	796	11	.	.	PUNCT
cana-1053	797	1	[	[	X
cana-1053	797	2	5	5	X
cana-1053	797	3	]	]	PUNCT
cana-1053	797	4	elgawad	elgawad	NOUN
cana-1053	797	5	m.	m.	PROPN
cana-1053	797	6	a.	a.	PROPN
cana-1053	797	7	a.	a.	PROPN
cana-1053	797	8	,	,	PUNCT
cana-1053	797	9	barakat	barakat	PROPN
cana-1053	797	10	h.	h.	PROPN
cana-1053	797	11	m.	m.	PROPN
cana-1053	797	12	,	,	PUNCT
cana-1053	797	13	xiong	xiong	PROPN
cana-1053	797	14	s.	s.	PROPN
cana-1053	797	15	and	and	CCONJ
cana-1053	797	16	alyami	alyami	PROPN
cana-1053	797	17	s.	s.	PROPN
cana-1053	797	18	a.	a.	PROPN
cana-1053	797	19	(	(	PUNCT
cana-1053	797	20	2021	2021	NUM
cana-1053	797	21	)	)	PUNCT
cana-1053	797	22	.	.	PUNCT
cana-1053	798	1	information	information	NOUN
cana-1053	798	2	measures	measure	NOUN
cana-1053	798	3	for	for	ADP
cana-1053	798	4	generalized	generalized	ADJ
cana-1053	798	5	order	order	NOUN
cana-1053	798	6	statistics	statistic	NOUN
cana-1053	798	7	and	and	CCONJ
cana-1053	798	8	their	their	PRON
cana-1053	798	9	concomitants	concomitant	NOUN
cana-1053	798	10	under	under	ADP
cana-1053	798	11	general	general	ADJ
cana-1053	798	12	framework	framework	NOUN
cana-1053	798	13	from	from	ADP
cana-1053	798	14	huang	huang	PROPN
cana-1053	798	15	-	-	PUNCT
cana-1053	798	16	kotz	kotz	PROPN
cana-1053	798	17	fgm	fgm	PROPN
cana-1053	798	18	bivariate	bivariate	ADJ
cana-1053	798	19	distribution	distribution	NOUN
cana-1053	798	20	.	.	PUNCT
cana-1053	799	1	entropy	entropy	PROPN
cana-1053	799	2	23(3	23(3	NUM
cana-1053	799	3	):	):	PUNCT
cana-1053	799	4	335	335	NUM
cana-1053	799	5	(	(	PUNCT
cana-1053	799	6	1	1	NUM
cana-1053	799	7	-	-	NUM
cana-1053	799	8	17	17	NUM
cana-1053	799	9	)	)	PUNCT
cana-1053	799	10	.	.	PUNCT
cana-1053	800	1	[	[	X
cana-1053	800	2	6	6	NUM
cana-1053	800	3	]	]	SYM
cana-1053	800	4	eskandarzadeh	eskandarzadeh	NOUN
cana-1053	800	5	,	,	PUNCT
cana-1053	800	6	m.	m.	NOUN
cana-1053	800	7	,	,	PUNCT
cana-1053	800	8	crescenzo	crescenzo	PROPN
cana-1053	800	9	,	,	PUNCT
cana-1053	800	10	a.d	a.d	PROPN
cana-1053	800	11	.	.	PROPN
cana-1053	800	12	and	and	CCONJ
cana-1053	800	13	tahmasebi	tahmasebi	ADJ
cana-1053	800	14	,	,	PUNCT
cana-1053	800	15	s.	s.	PROPN
cana-1053	800	16	(	(	PUNCT
cana-1053	800	17	2019	2019	NUM
cana-1053	800	18	)	)	PUNCT
cana-1053	800	19	.	.	PUNCT
cana-1053	801	1	cumulative	cumulative	ADJ
cana-1053	801	2	measure	measure	NOUN
cana-1053	801	3	of	of	ADP
cana-1053	801	4	inaccuracy	inaccuracy	NOUN
cana-1053	801	5	and	and	CCONJ
cana-1053	801	6	mutual	mutual	ADJ
cana-1053	801	7	information	information	NOUN
cana-1053	801	8	in	in	ADP
cana-1053	801	9	k	k	NOUN
cana-1053	801	10	-	-	PUNCT
cana-1053	801	11	th	th	ADV
cana-1053	801	12	lower	low	ADJ
cana-1053	801	13	record	record	NOUN
cana-1053	801	14	values	value	NOUN
cana-1053	801	15	.	.	PUNCT
cana-1053	802	1	mathematics	mathematic	NOUN
cana-1053	802	2	7(2):175	7(2):175	NUM
cana-1053	802	3	.	.	PUNCT
cana-1053	803	1	[	[	X
cana-1053	803	2	7	7	NUM
cana-1053	803	3	]	]	X
cana-1053	803	4	gui	gui	NOUN
cana-1053	803	5	,	,	PUNCT
cana-1053	803	6	j.	j.	PROPN
cana-1053	803	7	,	,	PUNCT
cana-1053	803	8	chen	chen	PROPN
cana-1053	803	9	,	,	PUNCT
cana-1053	803	10	t.	t.	PROPN
cana-1053	803	11	,	,	PUNCT
cana-1053	803	12	cao	cao	PROPN
cana-1053	803	13	,	,	PUNCT
cana-1053	803	14	q.	q.	PROPN
cana-1053	803	15	,	,	PUNCT
cana-1053	803	16	sun	sun	PROPN
cana-1053	803	17	,	,	PUNCT
cana-1053	803	18	z.	z.	PROPN
cana-1053	803	19	,	,	PUNCT
cana-1053	803	20	luo	luo	PROPN
cana-1053	803	21	,	,	PUNCT
cana-1053	803	22	h.	h.	PROPN
cana-1053	803	23	,	,	PUNCT
cana-1053	803	24	tao	tao	PROPN
cana-1053	803	25	,	,	PUNCT
cana-1053	803	26	d.	d.	PROPN
cana-1053	803	27	(	(	PUNCT
cana-1053	803	28	2023	2023	NUM
cana-1053	803	29	)	)	PUNCT
cana-1053	803	30	.	.	PUNCT
cana-1053	804	1	a	a	DET
cana-1053	804	2	survey	survey	NOUN
cana-1053	804	3	of	of	ADP
cana-1053	804	4	self	self	NOUN
cana-1053	804	5	-	-	PUNCT
cana-1053	804	6	supervised	supervise	VERB
cana-1053	804	7	learning	learning	NOUN
cana-1053	804	8	from	from	ADP
cana-1053	804	9	multiple	multiple	ADJ
cana-1053	804	10	perspectives	perspective	NOUN
cana-1053	804	11	:	:	PUNCT
cana-1053	804	12	algorithms	algorithm	NOUN
cana-1053	804	13	,	,	PUNCT
cana-1053	804	14	theory	theory	NOUN
cana-1053	804	15	,	,	PUNCT
cana-1053	804	16	applications	application	NOUN
cana-1053	804	17	and	and	CCONJ
cana-1053	804	18	future	future	ADJ
cana-1053	804	19	trends	trend	NOUN
cana-1053	804	20	.	.	PUNCT
cana-1053	805	1	arxiv:2301.05712	arxiv:2301.05712	NOUN
cana-1053	805	2	.	.	PUNCT
cana-1053	806	1	[	[	X
cana-1053	806	2	8	8	NUM
cana-1053	806	3	]	]	X
cana-1053	806	4	havrada	havrada	PROPN
cana-1053	806	5	,	,	PUNCT
cana-1053	806	6	j.h	j.h	PROPN
cana-1053	806	7	.	.	PROPN
cana-1053	806	8	and	and	CCONJ
cana-1053	806	9	charvat	charvat	PROPN
cana-1053	806	10	,	,	PUNCT
cana-1053	806	11	f.	f.	PROPN
cana-1053	806	12	(	(	PUNCT
cana-1053	806	13	1967	1967	NUM
cana-1053	806	14	)	)	PUNCT
cana-1053	806	15	.	.	PUNCT
cana-1053	807	1	quantification	quantification	NOUN
cana-1053	807	2	methods	method	NOUN
cana-1053	807	3	of	of	ADP
cana-1053	807	4	classification	classification	NOUN
cana-1053	807	5	process	process	NOUN
cana-1053	807	6	:	:	PUNCT
cana-1053	807	7	concept	concept	NOUN
cana-1053	807	8	of	of	ADP
cana-1053	807	9	structural	structural	ADJ
cana-1053	807	10	entropy	entropy	NOUN
cana-1053	807	11	.	.	PROPN
cana-1053	807	12	kybernetika	kybernetika	PROPN
cana-1053	807	13	3	3	NUM
cana-1053	807	14	:	:	SYM
cana-1053	807	15	30	30	NUM
cana-1053	807	16	-	-	SYM
cana-1053	807	17	35	35	NUM
cana-1053	807	18	.	.	PUNCT
cana-1053	808	1	[	[	X
cana-1053	808	2	9	9	NUM
cana-1053	808	3	]	]	X
cana-1053	808	4	hardy	hardy	ADJ
cana-1053	808	5	,	,	PUNCT
cana-1053	808	6	g.h	g.h	PROPN
cana-1053	808	7	.	.	PROPN
cana-1053	808	8	,	,	PUNCT
cana-1053	808	9	littlewood	littlewood	PROPN
cana-1053	808	10	,	,	PUNCT
cana-1053	808	11	j.e	j.e	PROPN
cana-1053	808	12	.	.	PROPN
cana-1053	808	13	and	and	CCONJ
cana-1053	808	14	polya	polya	ADV
cana-1053	808	15	,	,	PUNCT
cana-1053	808	16	g.	g.	PROPN
cana-1053	808	17	(	(	PUNCT
cana-1053	808	18	1934	1934	NUM
cana-1053	808	19	)	)	PUNCT
cana-1053	808	20	.	.	PUNCT
cana-1053	809	1	inequalities	inequality	NOUN
cana-1053	809	2	.	.	PUNCT
cana-1053	810	1	cambridge	cambridge	PROPN
cana-1053	810	2	university	university	PROPN
cana-1053	810	3	press	press	NOUN
cana-1053	810	4	.	.	PUNCT
cana-1053	811	1	[	[	X
cana-1053	811	2	10	10	NUM
cana-1053	811	3	]	]	X
cana-1053	811	4	hojjati	hojjati	NOUN
cana-1053	811	5	,	,	PUNCT
cana-1053	811	6	h.	h.	PROPN
cana-1053	811	7	,	,	PUNCT
cana-1053	811	8	ho	ho	PROPN
cana-1053	811	9	,	,	PUNCT
cana-1053	811	10	t.k.k	t.k.k	NOUN
cana-1053	811	11	.	.	PUNCT
cana-1053	811	12	and	and	CCONJ
cana-1053	811	13	armanfard	armanfard	ADV
cana-1053	811	14	,	,	PUNCT
cana-1053	811	15	n.	n.	NOUN
cana-1053	811	16	(	(	PUNCT
cana-1053	811	17	2023	2023	NUM
cana-1053	811	18	)	)	PUNCT
cana-1053	811	19	.	.	PUNCT
cana-1053	812	1	self	self	NOUN
cana-1053	812	2	-	-	PUNCT
cana-1053	812	3	supervised	supervise	VERB
cana-1053	812	4	anomaly	anomaly	NOUN
cana-1053	812	5	detection	detection	NOUN
cana-1053	812	6	:	:	PUNCT
cana-1053	812	7	a	a	DET
cana-1053	812	8	survey	survey	NOUN
cana-1053	812	9	and	and	CCONJ
cana-1053	812	10	outlook	outlook	NOUN
cana-1053	812	11	.	.	PUNCT
cana-1053	813	1	arxiv:2205.05173	arxiv:2205.05173	PROPN
cana-1053	813	2	.	.	PUNCT
cana-1053	814	1	[	[	X
cana-1053	814	2	11	11	NUM
cana-1053	814	3	]	]	X
cana-1053	814	4	huang	huang	PROPN
cana-1053	814	5	,	,	PUNCT
cana-1053	814	6	w.	w.	PROPN
cana-1053	814	7	and	and	CCONJ
cana-1053	814	8	zhang	zhang	PROPN
cana-1053	814	9	,	,	PUNCT
cana-1053	814	10	k.	k.	PROPN
cana-1053	814	11	(	(	PUNCT
cana-1053	814	12	2019	2019	NUM
cana-1053	814	13	)	)	PUNCT
cana-1053	814	14	.	.	PUNCT
cana-1053	814	15	approximations	approximation	NOUN
cana-1053	814	16	of	of	ADP
cana-1053	814	17	shannon	shannon	PROPN
cana-1053	814	18	mutual	mutual	ADJ
cana-1053	814	19	information	information	NOUN
cana-1053	814	20	for	for	ADP
cana-1053	814	21	discrete	discrete	ADJ
cana-1053	814	22	variables	variable	NOUN
cana-1053	814	23	with	with	ADP
cana-1053	814	24	applications	application	NOUN
cana-1053	814	25	to	to	ADP
cana-1053	814	26	neural	neural	ADJ
cana-1053	814	27	population	population	NOUN
cana-1053	814	28	coding	coding	NOUN
cana-1053	814	29	.	.	PUNCT
cana-1053	815	1	entropy	entropy	PROPN
cana-1053	815	2	21	21	NUM
cana-1053	815	3	(	(	PUNCT
cana-1053	815	4	3	3	NUM
cana-1053	815	5	):	):	PUNCT
cana-1053	815	6	paper	paper	NOUN
cana-1053	815	7	no	no	NOUN
cana-1053	815	8	.	.	PROPN
cana-1053	815	9	243	243	NUM
cana-1053	815	10	,	,	PUNCT
cana-1053	815	11	21	21	NUM
cana-1053	815	12	pp	pp	NOUN
cana-1053	815	13	.	.	PUNCT
cana-1053	816	1	[	[	X
cana-1053	816	2	12	12	NUM
cana-1053	816	3	]	]	X
cana-1053	816	4	kapur	kapur	PROPN
cana-1053	816	5	,	,	PUNCT
cana-1053	816	6	j.	j.	PROPN
cana-1053	816	7	n.	n.	PROPN
cana-1053	816	8	(	(	PUNCT
cana-1053	816	9	1987	1987	NUM
cana-1053	816	10	)	)	PUNCT
cana-1053	816	11	.	.	PUNCT
cana-1053	817	1	on	on	ADP
cana-1053	817	2	the	the	DET
cana-1053	817	3	range	range	NOUN
cana-1053	817	4	of	of	ADP
cana-1053	817	5	validity	validity	NOUN
cana-1053	817	6	of	of	ADP
cana-1053	817	7	certain	certain	ADJ
cana-1053	817	8	measures	measure	NOUN
cana-1053	817	9	of	of	ADP
cana-1053	817	10	inaccuracy	inaccuracy	NOUN
cana-1053	817	11	.	.	PUNCT
cana-1053	818	1	mathematics	mathematic	NOUN
cana-1053	818	2	today	today	NOUN
cana-1053	818	3	5	5	NUM
cana-1053	818	4	:	:	PUNCT
cana-1053	818	5	57	57	NUM
cana-1053	818	6	-	-	SYM
cana-1053	818	7	62	62	NUM
cana-1053	818	8	.	.	PUNCT
cana-1053	819	1	[	[	X
cana-1053	819	2	13	13	NUM
cana-1053	819	3	]	]	SYM
cana-1053	819	4	kapur	kapur	PROPN
cana-1053	819	5	,	,	PUNCT
cana-1053	819	6	j.n	j.n	PROPN
cana-1053	819	7	.	.	PROPN
cana-1053	819	8	(	(	PUNCT
cana-1053	819	9	1994	1994	NUM
cana-1053	819	10	)	)	PUNCT
cana-1053	819	11	.	.	PUNCT
cana-1053	820	1	measures	measure	NOUN
cana-1053	820	2	of	of	ADP
cana-1053	820	3	information	information	NOUN
cana-1053	820	4	and	and	CCONJ
cana-1053	820	5	their	their	PRON
cana-1053	820	6	applications	application	NOUN
cana-1053	820	7	.	.	PUNCT
cana-1053	821	1	wiley	wiley	PROPN
cana-1053	821	2	eastern	eastern	PROPN
cana-1053	821	3	,	,	PUNCT
cana-1053	821	4	new	new	ADJ
cana-1053	821	5	delhi	delhi	PROPN
cana-1053	821	6	.	.	PUNCT
cana-1053	822	1	[	[	X
cana-1053	822	2	14	14	NUM
cana-1053	822	3	]	]	PUNCT
cana-1053	822	4	kerridge	kerridge	NOUN
cana-1053	822	5	,	,	PUNCT
cana-1053	822	6	d.	d.	PROPN
cana-1053	822	7	f.	f.	PROPN
cana-1053	822	8	(	(	PUNCT
cana-1053	822	9	1961	1961	NUM
cana-1053	822	10	)	)	PUNCT
cana-1053	822	11	.	.	PUNCT
cana-1053	823	1	inaccuracy	inaccuracy	NOUN
cana-1053	823	2	and	and	CCONJ
cana-1053	823	3	inference	inference	NOUN
cana-1053	823	4	.	.	PUNCT
cana-1053	824	1	journal	journal	PROPN
cana-1053	824	2	of	of	ADP
cana-1053	824	3	royal	royal	PROPN
cana-1053	824	4	statistical	statistical	ADJ
cana-1053	824	5	society	society	NOUN
cana-1053	824	6	series	series	PROPN
cana-1053	824	7	b	b	PROPN
cana-1053	824	8	23:184	23:184	NUM
cana-1053	824	9	-	-	SYM
cana-1053	824	10	194	194	NUM
cana-1053	824	11	.	.	PUNCT
cana-1053	825	1	[	[	X
cana-1053	825	2	15	15	NUM
cana-1053	825	3	]	]	X
cana-1053	825	4	lenormand	lenormand	PROPN
cana-1053	825	5	,	,	PUNCT
cana-1053	825	6	m.	m.	NOUN
cana-1053	825	7	,	,	PUNCT
cana-1053	825	8	samaniego	samaniego	NOUN
cana-1053	825	9	,	,	PUNCT
cana-1053	825	10	h.	h.	PROPN
cana-1053	825	11	,	,	PUNCT
cana-1053	825	12	chaves	chaves	PROPN
cana-1053	825	13	,	,	PUNCT
cana-1053	825	14	j.c	j.c	PROPN
cana-1053	825	15	.	.	PROPN
cana-1053	825	16	,	,	PUNCT
cana-1053	825	17	vieira	vieira	PROPN
cana-1053	825	18	,	,	PUNCT
cana-1053	825	19	v.d.f	v.d.f	PROPN
cana-1053	825	20	.	.	PROPN
cana-1053	825	21	,	,	PUNCT
cana-1053	825	22	barbosa	barbosa	PROPN
cana-1053	825	23	da	da	PROPN
cana-1053	825	24	silva	silva	PROPN
cana-1053	825	25	,	,	PUNCT
cana-1053	825	26	m.a.h	m.a.h	PROPN
cana-1053	825	27	.	.	PROPN
cana-1053	825	28	,	,	PUNCT
cana-1053	825	29	evsukoff	evsukoff	PROPN
cana-1053	825	30	,	,	PUNCT
cana-1053	825	31	a.g	a.g	PROPN
cana-1053	825	32	.	.	PROPN
cana-1053	825	33	(	(	PUNCT
cana-1053	825	34	2020	2020	NUM
cana-1053	825	35	)	)	PUNCT
cana-1053	825	36	.	.	PUNCT
cana-1053	826	1	entropy	entropy	PROPN
cana-1053	826	2	as	as	ADP
cana-1053	826	3	a	a	DET
cana-1053	826	4	measure	measure	NOUN
cana-1053	826	5	of	of	ADP
cana-1053	826	6	attractiveness	attractiveness	NOUN
cana-1053	826	7	and	and	CCONJ
cana-1053	826	8	socioeconomic	socioeconomic	ADJ
cana-1053	826	9	complexity	complexity	NOUN
cana-1053	826	10	in	in	ADP
cana-1053	826	11	rio	rio	PROPN
cana-1053	826	12	de	de	PROPN
cana-1053	826	13	janeiro	janeiro	PROPN
cana-1053	826	14	metropolitan	metropolitan	PROPN
cana-1053	826	15	area	area	PROPN
cana-1053	826	16	.	.	PUNCT
cana-1053	827	1	entropy	entropy	PROPN
cana-1053	827	2	22	22	NUM
cana-1053	827	3	:	:	PUNCT
cana-1053	827	4	368	368	NUM
cana-1053	827	5	.	.	PUNCT
cana-1053	828	1	[	[	X
cana-1053	828	2	16	16	NUM
cana-1053	828	3	]	]	X
cana-1053	828	4	lu	lu	PROPN
cana-1053	828	5	,	,	PUNCT
cana-1053	828	6	y.	y.	PROPN
cana-1053	828	7	,	,	PUNCT
cana-1053	828	8	wang	wang	PROPN
cana-1053	828	9	,	,	PUNCT
cana-1053	828	10	m.	m.	NOUN
cana-1053	828	11	,	,	PUNCT
cana-1053	828	12	wu	wu	PROPN
cana-1053	828	13	,	,	PUNCT
cana-1053	828	14	w.	w.	PROPN
cana-1053	828	15	,	,	PUNCT
cana-1053	828	16	zhang	zhang	PROPN
cana-1053	828	17	,	,	PUNCT
cana-1053	828	18	q.	q.	PROPN
cana-1053	828	19	,	,	PUNCT
cana-1053	828	20	han	han	PROPN
cana-1053	828	21	,	,	PUNCT
cana-1053	828	22	y.	y.	PROPN
cana-1053	828	23	,	,	PUNCT
cana-1053	828	24	kausar	kausar	PROPN
cana-1053	828	25	,	,	PUNCT
cana-1053	828	26	t.	t.	PROPN
cana-1053	828	27	,	,	PUNCT
cana-1053	828	28	chen	chen	PROPN
cana-1053	828	29	,	,	PUNCT
cana-1053	828	30	s.	s.	PROPN
cana-1053	828	31	,	,	PUNCT
cana-1053	828	32	liu	liu	PROPN
cana-1053	828	33	,	,	PUNCT
cana-1053	828	34	m.	m.	NOUN
cana-1053	828	35	,	,	PUNCT
cana-1053	828	36	and	and	CCONJ
cana-1053	828	37	wang	wang	PROPN
cana-1053	828	38	,	,	PUNCT
cana-1053	828	39	b.	b.	PROPN
cana-1053	828	40	(	(	PUNCT
cana-1053	828	41	2020	2020	NUM
cana-1053	828	42	)	)	PUNCT
cana-1053	828	43	.	.	PUNCT
cana-1053	829	1	entropybased	entropybase	VERB
cana-1053	829	2	pattern	pattern	NOUN
cana-1053	829	3	learning	learning	NOUN
cana-1053	829	4	based	base	VERB
cana-1053	829	5	on	on	ADP
cana-1053	829	6	singular	singular	PROPN
cana-1053	829	7	spectrum	spectrum	NOUN
cana-1053	829	8	analysis	analysis	NOUN
cana-1053	829	9	components	component	NOUN
cana-1053	829	10	for	for	ADP
cana-1053	829	11	assessment	assessment	NOUN
cana-1053	829	12	of	of	ADP
cana-1053	829	13	physiological	physiological	ADJ
cana-1053	829	14	signals	signal	NOUN
cana-1053	829	15	.	.	PUNCT
cana-1053	830	1	complexity	complexity	NOUN
cana-1053	830	2	,	,	PUNCT
cana-1053	830	3	article	article	NOUN
cana-1053	830	4	i	i	PROPN
cana-1053	830	5	d	d	PROPN
cana-1053	830	6	4625218	4625218	NUM
cana-1053	830	7	.	.	PUNCT
cana-1053	831	1	https://doi.org/10.1155/2020/4625218	https://doi.org/10.1155/2020/4625218	PROPN
cana-1053	831	2	.	.	PUNCT
cana-1053	832	1	[	[	X
cana-1053	832	2	17	17	NUM
cana-1053	832	3	]	]	X
cana-1053	832	4	manzoor	manzoor	PROPN
cana-1053	832	5	,	,	PUNCT
cana-1053	832	6	s.	s.	PROPN
cana-1053	832	7	,	,	PUNCT
cana-1053	832	8	siddiqui	siddiqui	NOUN
cana-1053	832	9	,	,	PUNCT
cana-1053	832	10	m.	m.	PROPN
cana-1053	832	11	k.	k.	PROPN
cana-1053	832	12	and	and	CCONJ
cana-1053	832	13	ahmad	ahmad	PROPN
cana-1053	832	14	,	,	PUNCT
cana-1053	832	15	s.	s.	PROPN
cana-1053	832	16	(	(	PUNCT
cana-1053	832	17	2020	2020	NUM
cana-1053	832	18	)	)	PUNCT
cana-1053	832	19	.	.	PUNCT
cana-1053	833	1	on	on	ADP
cana-1053	833	2	entropy	entropy	NOUN
cana-1053	833	3	measures	measure	NOUN
cana-1053	833	4	of	of	ADP
cana-1053	833	5	molecular	molecular	ADJ
cana-1053	833	6	graphs	graph	NOUN
cana-1053	833	7	using	use	VERB
cana-1053	833	8	topological	topological	ADJ
cana-1053	833	9	indices	index	NOUN
cana-1053	833	10	.	.	PUNCT
cana-1053	834	1	arabian	arabian	ADJ
cana-1053	834	2	journal	journal	PROPN
cana-1053	834	3	of	of	ADP
cana-1053	834	4	chemistry	chemistry	NOUN
cana-1053	834	5	13(8):6285	13(8):6285	NUM
cana-1053	834	6	-	-	SYM
cana-1053	834	7	6298	6298	NUM
cana-1053	834	8	.	.	PUNCT
cana-1053	835	1	[	[	X
cana-1053	835	2	18	18	NUM
cana-1053	835	3	]	]	X
cana-1053	835	4	molloy	molloy	PROPN
cana-1053	835	5	,	,	PUNCT
cana-1053	835	6	t.l	t.l	PROPN
cana-1053	835	7	.	.	PROPN
cana-1053	835	8	and	and	CCONJ
cana-1053	835	9	ford	ford	PROPN
cana-1053	835	10	,	,	PUNCT
cana-1053	835	11	j.j	j.j	PROPN
cana-1053	835	12	.	.	PROPN
cana-1053	835	13	(	(	PUNCT
cana-1053	835	14	2015	2015	NUM
cana-1053	835	15	)	)	PUNCT
cana-1053	835	16	.	.	PUNCT
cana-1053	836	1	towards	towards	ADP
cana-1053	836	2	strongly	strongly	ADV
cana-1053	836	3	consistent	consistent	ADJ
cana-1053	836	4	online	online	ADJ
cana-1053	836	5	hmm	hmm	INTJ
cana-1053	836	6	parameter	parameter	NOUN
cana-1053	836	7	estimation	estimation	NOUN
cana-1053	836	8	using	use	VERB
cana-1053	836	9	one	one	NUM
cana-1053	836	10	-	-	PUNCT
cana-1053	836	11	step	step	NOUN
cana-1053	836	12	kerridge	kerridge	NOUN
cana-1053	836	13	inaccuracy	inaccuracy	PROPN
cana-1053	836	14	.	.	PUNCT
cana-1053	837	1	signal	signal	NOUN
cana-1053	837	2	processing	process	VERB
cana-1053	837	3	115:79	115:79	PROPN
cana-1053	837	4	-	-	SYM
cana-1053	837	5	93	93	NUM
cana-1053	837	6	.	.	PUNCT
cana-1053	838	1	[	[	X
cana-1053	838	2	19	19	NUM
cana-1053	838	3	]	]	X
cana-1053	838	4	nath	nath	NOUN
cana-1053	838	5	,	,	PUNCT
cana-1053	838	6	p.	p.	NOUN
cana-1053	838	7	(	(	PUNCT
cana-1053	838	8	1968	1968	NUM
cana-1053	838	9	)	)	PUNCT
cana-1053	838	10	.	.	PUNCT
cana-1053	839	1	on	on	ADP
cana-1053	839	2	the	the	DET
cana-1053	839	3	measures	measure	NOUN
cana-1053	839	4	of	of	ADP
cana-1053	839	5	errors	error	NOUN
cana-1053	839	6	in	in	ADP
cana-1053	839	7	information	information	NOUN
cana-1053	839	8	.	.	PUNCT
cana-1053	840	1	jour	jour	PROPN
cana-1053	840	2	.	.	PUNCT
cana-1053	840	3	math	math	PROPN
cana-1053	840	4	.	.	PUNCT
cana-1053	841	1	sciences	sciences	PROPN
cana-1053	841	2	3(1):1	3(1):1	PROPN
cana-1053	841	3	-	-	NUM
cana-1053	841	4	16	16	NUM
cana-1053	841	5	.	.	PUNCT
cana-1053	842	1	[	[	X
cana-1053	842	2	20	20	NUM
cana-1053	842	3	]	]	SYM
cana-1053	842	4	nath	nath	NOUN
cana-1053	842	5	,	,	PUNCT
cana-1053	842	6	p.	p.	NOUN
cana-1053	842	7	(	(	PUNCT
cana-1053	842	8	1970	1970	NUM
cana-1053	842	9	)	)	PUNCT
cana-1053	842	10	.	.	PUNCT
cana-1053	843	1	an	an	DET
cana-1053	843	2	axiomatic	axiomatic	ADJ
cana-1053	843	3	characterization	characterization	NOUN
cana-1053	843	4	of	of	ADP
cana-1053	843	5	inaccuracy	inaccuracy	NOUN
cana-1053	843	6	for	for	ADP
cana-1053	843	7	discrete	discrete	ADJ
cana-1053	843	8	generalized	generalize	VERB
cana-1053	843	9	probability	probability	NOUN
cana-1053	843	10	distributions	distribution	NOUN
cana-1053	843	11	.	.	PUNCT
cana-1053	844	1	opsearch	opsearch	NOUN
cana-1053	844	2	7	7	NUM
cana-1053	844	3	(	(	PUNCT
cana-1053	844	4	2):115	2):115	NUM
cana-1053	844	5	-	-	SYM
cana-1053	844	6	133	133	NUM
cana-1053	844	7	.	.	PUNCT
cana-1053	845	1	[	[	X
cana-1053	845	2	21	21	NUM
cana-1053	845	3	]	]	X
cana-1053	845	4	nath	nath	NOUN
cana-1053	845	5	,	,	PUNCT
cana-1053	845	6	p.	p.	NOUN
cana-1053	845	7	(	(	PUNCT
cana-1053	845	8	1974	1974	NUM
cana-1053	845	9	)	)	PUNCT
cana-1053	845	10	.	.	PUNCT
cana-1053	846	1	remarks	remark	NOUN
cana-1053	846	2	on	on	ADP
cana-1053	846	3	some	some	DET
cana-1053	846	4	measures	measure	NOUN
cana-1053	846	5	of	of	ADP
cana-1053	846	6	inaccuracy	inaccuracy	NOUN
cana-1053	846	7	of	of	ADP
cana-1053	846	8	finite	finite	PRON
cana-1053	846	9	discrete	discrete	ADJ
cana-1053	846	10	generalized	generalize	VERB
cana-1053	846	11	probability	probability	NOUN
cana-1053	846	12	distributions	distribution	NOUN
cana-1053	846	13	,	,	PUNCT
cana-1053	846	14	entropy	entropy	NOUN
cana-1053	846	15	and	and	CCONJ
cana-1053	846	16	ergodic	ergodic	ADJ
cana-1053	846	17	theory	theory	NOUN
cana-1053	846	18	.	.	PUNCT
cana-1053	847	1	selecta	selecta	PROPN
cana-1053	847	2	statistica	statistica	PROPN
cana-1053	847	3	canadiana	canadiana	PROPN
cana-1053	847	4	2:77	2:77	PROPN
cana-1053	847	5	-	-	PUNCT
cana-1053	847	6	100	100	NUM
cana-1053	847	7	.	.	PUNCT
cana-1053	848	1	[	[	X
cana-1053	848	2	22	22	NUM
cana-1053	848	3	]	]	SYM
cana-1053	848	4	nath	nath	NOUN
cana-1053	848	5	,	,	PUNCT
cana-1053	848	6	p.	p.	NOUN
cana-1053	848	7	(	(	PUNCT
cana-1053	848	8	2010	2010	NUM
cana-1053	848	9	)	)	PUNCT
cana-1053	848	10	.	.	PUNCT
cana-1053	849	1	on	on	ADP
cana-1053	849	2	the	the	DET
cana-1053	849	3	shannon	shannon	PROPN
cana-1053	849	4	entropy	entropy	PROPN
cana-1053	849	5	.	.	PUNCT
cana-1053	850	1	in	in	ADP
cana-1053	850	2	:	:	PUNCT
cana-1053	850	3	parkash	parkash	NOUN
cana-1053	850	4	.	.	PUNCT
cana-1053	851	1	o.	o.	INTJ
cana-1053	851	2	(	(	PUNCT
cana-1053	851	3	ed	ed	NOUN
cana-1053	851	4	)	)	PUNCT
cana-1053	851	5	.	.	PUNCT
cana-1053	852	1	information	information	NOUN
cana-1053	852	2	theory	theory	NOUN
cana-1053	852	3	and	and	CCONJ
cana-1053	852	4	optimization	optimization	NOUN
cana-1053	852	5	techniques	technique	NOUN
cana-1053	852	6	in	in	ADP
cana-1053	852	7	scientific	scientific	ADJ
cana-1053	852	8	research	research	NOUN
cana-1053	852	9	,	,	PUNCT
cana-1053	852	10	vdm	vdm	NOUN
cana-1053	852	11	verlag	verlag	PROPN
cana-1053	852	12	,	,	PUNCT
cana-1053	852	13	saarbrucken	saarbrucken	PROPN
cana-1053	852	14	,	,	PUNCT
cana-1053	852	15	germany	germany	PROPN
cana-1053	852	16	,	,	PUNCT
cana-1053	852	17	1	1	NUM
cana-1053	852	18	-	-	SYM
cana-1053	852	19	39	39	NUM
cana-1053	852	20	.	.	PUNCT
cana-1053	853	1	[	[	X
cana-1053	853	2	23	23	NUM
cana-1053	853	3	]	]	X
cana-1053	853	4	parkash	parkash	NOUN
cana-1053	853	5	,	,	PUNCT
cana-1053	853	6	o.	o.	PROPN
cana-1053	853	7	and	and	CCONJ
cana-1053	853	8	kakkar	kakkar	PROPN
cana-1053	853	9	,	,	PUNCT
cana-1053	853	10	p.	p.	NOUN
cana-1053	853	11	(	(	PUNCT
cana-1053	853	12	2014	2014	NUM
cana-1053	853	13	)	)	PUNCT
cana-1053	853	14	.	.	PUNCT
cana-1053	854	1	new	new	ADJ
cana-1053	854	2	measures	measure	NOUN
cana-1053	854	3	of	of	ADP
cana-1053	854	4	information	information	NOUN
cana-1053	854	5	and	and	CCONJ
cana-1053	854	6	their	their	PRON
cana-1053	854	7	applications	application	NOUN
cana-1053	854	8	in	in	ADP
cana-1053	854	9	coding	code	VERB
cana-1053	854	10	theory	theory	NOUN
cana-1053	854	11	.	.	PUNCT
cana-1053	855	1	canadian	canadian	ADJ
cana-1053	855	2	journal	journal	NOUN
cana-1053	855	3	of	of	ADP
cana-1053	855	4	pure	pure	ADJ
cana-1053	855	5	and	and	CCONJ
cana-1053	855	6	applied	apply	VERB
cana-1053	855	7	sciences	science	NOUN
cana-1053	855	8	8(2	8(2	NUM
cana-1053	855	9	):	):	PUNCT
cana-1053	855	10	2905	2905	NUM
cana-1053	855	11	-	-	SYM
cana-1053	855	12	2912	2912	NUM
cana-1053	855	13	.	.	PUNCT
cana-1053	856	1	[	[	X
cana-1053	856	2	24	24	NUM
cana-1053	856	3	]	]	X
cana-1053	856	4	parkash	parkash	NOUN
cana-1053	856	5	,	,	PUNCT
cana-1053	856	6	o.	o.	PROPN
cana-1053	856	7	and	and	CCONJ
cana-1053	856	8	kakkar	kakkar	PROPN
cana-1053	856	9	,	,	PUNCT
cana-1053	856	10	p.	p.	NOUN
cana-1053	856	11	(	(	PUNCT
cana-1053	856	12	2014	2014	NUM
cana-1053	856	13	)	)	PUNCT
cana-1053	856	14	.	.	PUNCT
cana-1053	857	1	new	new	ADJ
cana-1053	857	2	information	information	NOUN
cana-1053	857	3	theoretic	theoretic	NOUN
cana-1053	857	4	models	model	NOUN
cana-1053	857	5	,	,	PUNCT
cana-1053	857	6	their	their	PRON
cana-1053	857	7	detailed	detailed	ADJ
cana-1053	857	8	properties	property	NOUN
cana-1053	857	9	and	and	CCONJ
cana-1053	857	10	new	new	ADJ
cana-1053	857	11	inequalities	inequality	NOUN
cana-1053	857	12	.	.	PUNCT
cana-1053	858	1	canadian	canadian	ADJ
cana-1053	858	2	journal	journal	PROPN
cana-1053	858	3	of	of	ADP
cana-1053	858	4	pure	pure	ADJ
cana-1053	858	5	and	and	CCONJ
cana-1053	858	6	applied	applied	ADJ
cana-1053	858	7	sciences	science	NOUN
cana-1053	858	8	8(3	8(3	NUM
cana-1053	858	9	):	):	PUNCT
cana-1053	858	10	3115	3115	NUM
cana-1053	858	11	-	-	SYM
cana-1053	858	12	3123	3123	NUM
cana-1053	858	13	.	.	PUNCT
cana-1053	859	1	https://mathscinet.ams.org/mathscinet/search/journaldoc.html?id=5862	https://mathscinet.ams.org/mathscinet/search/journaldoc.html?id=5862	NOUN
cana-1053	859	2	https://mathscinet.ams.org/mathscinet/search/journaldoc.html?id=5862	https://mathscinet.ams.org/mathscinet/search/journaldoc.html?id=5862	X
cana-1053	859	3	https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=42995	https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=42995	ADV
cana-1053	859	4	https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=193047	https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=193047	PROPN
cana-1053	859	5	https://mathscinet.ams.org/mathscinet/search/publications.html?pg1=issi&s1=458518	https://mathscinet.ams.org/mathscinet/search/publications.html?pg1=issi&s1=458518	ADJ
cana-1053	859	6	https://mathscinet.ams.org/mathscinet/search/publications.html?pg1=issi&s1=458518	https://mathscinet.ams.org/mathscinet/search/publications.html?pg1=issi&s1=458518	ADJ
cana-1053	859	7	https://mathscinet.ams.org/mathscinet/search/journaldoc.html?id=5738	https://mathscinet.ams.org/mathscinet/search/journaldoc.html?id=5738	NOUN
cana-1053	859	8	communications	communication	NOUN
cana-1053	859	9	on	on	ADP
cana-1053	859	10	applied	apply	VERB
cana-1053	859	11	nonlinear	nonlinear	ADJ
cana-1053	859	12	analysis	analysis	NOUN
cana-1053	859	13	issn	issn	NOUN
cana-1053	859	14	:	:	PUNCT
cana-1053	859	15	1074	1074	NUM
cana-1053	859	16	-	-	PUNCT
cana-1053	859	17	133x	133x	NUM
cana-1053	859	18	vol	vol	NOUN
cana-1053	859	19	31	31	NUM
cana-1053	859	20	no	no	NOUN
cana-1053	859	21	.	.	PUNCT
cana-1053	860	1	5s	5s	NUM
cana-1053	860	2	(	(	PUNCT
cana-1053	860	3	2024	2024	NUM
cana-1053	860	4	)	)	PUNCT
cana-1053	860	5	342	342	NUM
cana-1053	860	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1053	861	1	[	[	X
cana-1053	861	2	25	25	NUM
cana-1053	861	3	]	]	X
cana-1053	861	4	parkash	parkash	NOUN
cana-1053	861	5	,	,	PUNCT
cana-1053	861	6	o.	o.	PROPN
cana-1053	861	7	and	and	CCONJ
cana-1053	861	8	kumar	kumar	PROPN
cana-1053	861	9	,	,	PUNCT
cana-1053	861	10	r.	r.	PROPN
cana-1053	861	11	(	(	PUNCT
cana-1053	861	12	2022	2022	NUM
cana-1053	861	13	)	)	PUNCT
cana-1053	861	14	.	.	PUNCT
cana-1053	862	1	applications	application	NOUN
cana-1053	862	2	of	of	ADP
cana-1053	862	3	new	new	ADJ
cana-1053	862	4	entropic	entropic	ADJ
cana-1053	862	5	model	model	NOUN
cana-1053	862	6	towards	towards	ADP
cana-1053	862	7	chi	chi	ADJ
cana-1053	862	8	-	-	PUNCT
cana-1053	862	9	square	square	ADJ
cana-1053	862	10	distribution	distribution	NOUN
cana-1053	862	11	and	and	CCONJ
cana-1053	862	12	manipulation	manipulation	NOUN
cana-1053	862	13	of	of	ADP
cana-1053	862	14	approximation	approximation	NOUN
cana-1053	862	15	of	of	ADP
cana-1053	862	16	a	a	DET
cana-1053	862	17	specified	specify	VERB
cana-1053	862	18	probability	probability	NOUN
cana-1053	862	19	distribution	distribution	NOUN
cana-1053	862	20	.	.	PUNCT
cana-1053	863	1	a	a	DET
cana-1053	863	2	journal	journal	NOUN
cana-1053	863	3	of	of	ADP
cana-1053	863	4	composition	composition	NOUN
cana-1053	863	5	theory	theory	NOUN
cana-1053	863	6	15(9	15(9	NUM
cana-1053	863	7	):	):	PUNCT
cana-1053	863	8	155	155	NUM
cana-1053	863	9	-	-	SYM
cana-1053	863	10	170	170	NUM
cana-1053	863	11	.	.	PUNCT
cana-1053	864	1	[	[	X
cana-1053	864	2	26	26	NUM
cana-1053	864	3	]	]	X
cana-1053	864	4	parkash	parkash	NOUN
cana-1053	864	5	,	,	PUNCT
cana-1053	864	6	o.	o.	PROPN
cana-1053	864	7	and	and	CCONJ
cana-1053	864	8	mukesh	mukesh	PROPN
cana-1053	864	9	(	(	PUNCT
cana-1053	864	10	2016	2016	NUM
cana-1053	864	11	):	):	PUNCT
cana-1053	864	12	contribution	contribution	NOUN
cana-1053	864	13	of	of	ADP
cana-1053	864	14	maximum	maximum	ADJ
cana-1053	864	15	entropy	entropy	NOUN
cana-1053	864	16	principle	principle	NOUN
cana-1053	864	17	in	in	ADP
cana-1053	864	18	the	the	DET
cana-1053	864	19	field	field	NOUN
cana-1053	864	20	of	of	ADP
cana-1053	864	21	queueing	queue	VERB
cana-1053	864	22	theory	theory	NOUN
cana-1053	864	23	.	.	PUNCT
cana-1053	865	1	communications	communication	NOUN
cana-1053	865	2	in	in	ADP
cana-1053	865	3	statistics	statistic	NOUN
cana-1053	865	4	-	-	PUNCT
cana-1053	865	5	theory	theory	NOUN
cana-1053	865	6	and	and	CCONJ
cana-1053	865	7	methods	method	NOUN
cana-1053	865	8	45(12	45(12	NUM
cana-1053	865	9	):	):	PUNCT
cana-1053	865	10	3064	3064	NUM
cana-1053	865	11	-	-	SYM
cana-1053	865	12	3472	3472	NUM
cana-1053	865	13	.	.	PUNCT
cana-1053	866	1	[	[	X
cana-1053	866	2	27	27	NUM
cana-1053	866	3	]	]	X
cana-1053	866	4	parkash	parkash	NOUN
cana-1053	866	5	,	,	PUNCT
cana-1053	866	6	o.	o.	PROPN
cana-1053	866	7	and	and	CCONJ
cana-1053	866	8	mukesh	mukesh	PROPN
cana-1053	866	9	(	(	PUNCT
cana-1053	866	10	2021	2021	NUM
cana-1053	866	11	)	)	PUNCT
cana-1053	866	12	.	.	PUNCT
cana-1053	867	1	two	two	NUM
cana-1053	867	2	new	new	ADJ
cana-1053	867	3	parametric	parametric	ADJ
cana-1053	867	4	entropic	entropic	ADJ
cana-1053	867	5	models	model	NOUN
cana-1053	867	6	for	for	ADP
cana-1053	867	7	discrete	discrete	ADJ
cana-1053	867	8	probability	probability	NOUN
cana-1053	867	9	distributions	distribution	NOUN
cana-1053	867	10	.	.	PUNCT
cana-1053	868	1	turkish	turkish	ADJ
cana-1053	868	2	journal	journal	NOUN
cana-1053	868	3	of	of	ADP
cana-1053	868	4	computer	computer	NOUN
cana-1053	868	5	and	and	CCONJ
cana-1053	868	6	mathematics	mathematics	PROPN
cana-1053	868	7	education	education	NOUN
cana-1053	868	8	12(6	12(6	NUM
cana-1053	868	9	):	):	PUNCT
cana-1053	868	10	2949	2949	NUM
cana-1053	868	11	-	-	SYM
cana-1053	868	12	2954	2954	NUM
cana-1053	868	13	.	.	PUNCT
cana-1053	869	1	[	[	X
cana-1053	869	2	28	28	NUM
cana-1053	869	3	]	]	X
cana-1053	869	4	parkash	parkash	NOUN
cana-1053	869	5	,	,	PUNCT
cana-1053	869	6	o.	o.	PROPN
cana-1053	869	7	,	,	PUNCT
cana-1053	869	8	sharma	sharma	PROPN
cana-1053	869	9	,	,	PUNCT
cana-1053	869	10	r.	r.	PROPN
cana-1053	869	11	and	and	CCONJ
cana-1053	869	12	singh	singh	PROPN
cana-1053	869	13	,	,	PUNCT
cana-1053	869	14	v.	v.	PROPN
cana-1053	869	15	(	(	PUNCT
cana-1053	869	16	2022	2022	NUM
cana-1053	869	17	)	)	PUNCT
cana-1053	869	18	.	.	PUNCT
cana-1053	870	1	a	a	DET
cana-1053	870	2	new	new	ADJ
cana-1053	870	3	discrete	discrete	ADJ
cana-1053	870	4	information	information	NOUN
cana-1053	870	5	model	model	NOUN
cana-1053	870	6	and	and	CCONJ
cana-1053	870	7	its	its	PRON
cana-1053	870	8	applications	application	NOUN
cana-1053	870	9	for	for	ADP
cana-1053	870	10	the	the	DET
cana-1053	870	11	study	study	NOUN
cana-1053	870	12	of	of	ADP
cana-1053	870	13	contingency	contingency	NOUN
cana-1053	870	14	tables	table	NOUN
cana-1053	870	15	.	.	PUNCT
cana-1053	871	1	journal	journal	NOUN
cana-1053	871	2	of	of	ADP
cana-1053	871	3	discrete	discrete	ADJ
cana-1053	871	4	mathematical	mathematical	ADJ
cana-1053	871	5	sciences	science	NOUN
cana-1053	871	6	and	and	CCONJ
cana-1053	871	7	crytography	crytography	NOUN
cana-1053	871	8	25(3	25(3	NUM
cana-1053	871	9	):	):	PUNCT
cana-1053	871	10	785	785	NUM
cana-1053	871	11	-	-	SYM
cana-1053	871	12	792	792	NUM
cana-1053	871	13	.	.	PUNCT
cana-1053	872	1	[	[	X
cana-1053	872	2	29	29	NUM
cana-1053	872	3	]	]	X
cana-1053	872	4	parkash	parkash	NOUN
cana-1053	872	5	,	,	PUNCT
cana-1053	872	6	o.	o.	PROPN
cana-1053	872	7	and	and	CCONJ
cana-1053	872	8	taneja	taneja	PROPN
cana-1053	872	9	,	,	PUNCT
cana-1053	872	10	h.	h.	PROPN
cana-1053	872	11	c.	c.	PROPN
cana-1053	872	12	(	(	PUNCT
cana-1053	872	13	1986).characterization	1986).characterization	NUM
cana-1053	872	14	of	of	ADP
cana-1053	872	15	quantitative	quantitative	ADJ
cana-1053	872	16	-	-	PUNCT
cana-1053	872	17	qualitative	qualitative	ADJ
cana-1053	872	18	measure	measure	NOUN
cana-1053	872	19	of	of	ADP
cana-1053	872	20	inaccuracy	inaccuracy	NOUN
cana-1053	872	21	for	for	ADP
cana-1053	872	22	discrete	discrete	ADJ
cana-1053	872	23	generalized	generalize	VERB
cana-1053	872	24	probability	probability	NOUN
cana-1053	872	25	distributions	distribution	NOUN
cana-1053	872	26	.	.	PUNCT
cana-1053	873	1	communication	communication	NOUN
cana-1053	873	2	in	in	ADP
cana-1053	873	3	statistics	statistic	NOUN
cana-1053	873	4	15(12	15(12	NUM
cana-1053	873	5	):	):	PUNCT
cana-1053	873	6	3763	3763	NUM
cana-1053	873	7	-	-	SYM
cana-1053	873	8	3772	3772	NUM
cana-1053	873	9	.	.	PUNCT
cana-1053	874	1	[	[	X
cana-1053	874	2	30	30	NUM
cana-1053	874	3	]	]	X
cana-1053	874	4	renyi	renyi	PROPN
cana-1053	874	5	,	,	PUNCT
cana-1053	874	6	a.	a.	NOUN
cana-1053	874	7	(	(	PUNCT
cana-1053	874	8	1961	1961	NUM
cana-1053	874	9	)	)	PUNCT
cana-1053	874	10	.	.	PUNCT
cana-1053	875	1	on	on	ADP
cana-1053	875	2	measures	measure	NOUN
cana-1053	875	3	of	of	ADP
cana-1053	875	4	entropy	entropy	NOUN
cana-1053	875	5	and	and	CCONJ
cana-1053	875	6	information	information	NOUN
cana-1053	875	7	.	.	PUNCT
cana-1053	876	1	proceedings	proceeding	NOUN
cana-1053	876	2	4th	4th	PROPN
cana-1053	876	3	berkeley	berkeley	PROPN
cana-1053	876	4	symposium	symposium	NOUN
cana-1053	876	5	on	on	ADP
cana-1053	876	6	mathematical	mathematical	ADJ
cana-1053	876	7	statistics	statistic	NOUN
cana-1053	876	8	and	and	CCONJ
cana-1053	876	9	probability	probability	NOUN
cana-1053	876	10	1	1	NUM
cana-1053	876	11	:	:	SYM
cana-1053	876	12	547	547	NUM
cana-1053	876	13	-	-	SYM
cana-1053	876	14	561	561	NUM
cana-1053	876	15	.	.	PUNCT
cana-1053	877	1	[	[	X
cana-1053	877	2	31	31	NUM
cana-1053	877	3	]	]	PUNCT
cana-1053	877	4	saraiva	saraiva	NOUN
cana-1053	877	5	,	,	PUNCT
cana-1053	877	6	p.	p.	NOUN
cana-1053	877	7	(	(	PUNCT
cana-1053	877	8	2023	2023	NUM
cana-1053	877	9	)	)	PUNCT
cana-1053	877	10	.	.	PUNCT
cana-1053	878	1	on	on	ADP
cana-1053	878	2	shannon	shannon	PROPN
cana-1053	878	3	entropy	entropy	PROPN
cana-1053	878	4	and	and	CCONJ
cana-1053	878	5	its	its	PRON
cana-1053	878	6	applications	application	NOUN
cana-1053	878	7	.	.	PUNCT
cana-1053	879	1	kuwait	kuwait	PROPN
cana-1053	879	2	journal	journal	PROPN
cana-1053	879	3	of	of	ADP
cana-1053	879	4	science	science	NOUN
cana-1053	879	5	50(3	50(3	NOUN
cana-1053	879	6	):	):	PUNCT
cana-1053	879	7	194	194	NUM
cana-1053	879	8	-	-	SYM
cana-1053	879	9	199	199	NUM
cana-1053	879	10	.	.	PUNCT
cana-1053	880	1	[	[	X
cana-1053	880	2	32	32	NUM
cana-1053	880	3	]	]	PUNCT
cana-1053	880	4	sathar	sathar	PROPN
cana-1053	880	5	,	,	PUNCT
cana-1053	880	6	e.	e.	PROPN
cana-1053	880	7	i.	i.	PROPN
cana-1053	880	8	a.	a.	PROPN
cana-1053	880	9	,	,	PUNCT
cana-1053	880	10	viswakala	viswakala	PROPN
cana-1053	880	11	,	,	PUNCT
cana-1053	880	12	k.	k.	PROPN
cana-1053	880	13	v.	v.	PROPN
cana-1053	880	14	and	and	CCONJ
cana-1053	880	15	rajesh	rajesh	PROPN
cana-1053	880	16	,	,	PUNCT
cana-1053	880	17	g.	g.	PROPN
cana-1053	880	18	(	(	PUNCT
cana-1053	880	19	2021	2021	NUM
cana-1053	880	20	)	)	PUNCT
cana-1053	880	21	.	.	PUNCT
cana-1053	881	1	estimation	estimation	NOUN
cana-1053	881	2	of	of	ADP
cana-1053	881	3	past	past	ADJ
cana-1053	881	4	inaccuracy	inaccuracy	ADJ
cana-1053	881	5	measure	measure	NOUN
cana-1053	881	6	for	for	ADP
cana-1053	881	7	the	the	DET
cana-1053	881	8	right	right	ADJ
cana-1053	881	9	censored	censor	VERB
cana-1053	881	10	dependent	dependent	ADJ
cana-1053	881	11	data	datum	NOUN
cana-1053	881	12	.	.	PUNCT
cana-1053	882	1	communications	communication	NOUN
cana-1053	882	2	in	in	ADP
cana-1053	882	3	statistics	statistic	NOUN
cana-1053	882	4	:	:	PUNCT
cana-1053	882	5	theory	theory	NOUN
cana-1053	882	6	and	and	CCONJ
cana-1053	882	7	methods	method	NOUN
cana-1053	882	8	50	50	NUM
cana-1053	882	9	(	(	PUNCT
cana-1053	882	10	6	6	NUM
cana-1053	882	11	):	):	PUNCT
cana-1053	882	12	1446–1455	1446–1455	NUM
cana-1053	882	13	.	.	PUNCT
cana-1053	883	1	[	[	X
cana-1053	883	2	33	33	NUM
cana-1053	883	3	]	]	X
cana-1053	883	4	shannon	shannon	PROPN
cana-1053	883	5	,	,	PUNCT
cana-1053	883	6	c.	c.	PROPN
cana-1053	883	7	e.	e.	PROPN
cana-1053	883	8	(	(	PUNCT
cana-1053	883	9	1948	1948	NUM
cana-1053	883	10	)	)	PUNCT
cana-1053	883	11	.	.	PUNCT
cana-1053	884	1	a	a	DET
cana-1053	884	2	mathematical	mathematical	ADJ
cana-1053	884	3	theory	theory	NOUN
cana-1053	884	4	of	of	ADP
cana-1053	884	5	communication	communication	NOUN
cana-1053	884	6	.	.	PUNCT
cana-1053	885	1	bell	bell	NOUN
cana-1053	885	2	system	system	PROPN
cana-1053	885	3	technical	technical	PROPN
cana-1053	885	4	journal	journal	PROPN
cana-1053	885	5	27	27	NUM
cana-1053	885	6	:	:	PUNCT
cana-1053	885	7	379	379	NUM
cana-1053	885	8	-	-	SYM
cana-1053	885	9	423	423	NUM
cana-1053	885	10	,	,	PUNCT
cana-1053	885	11	623	623	NUM
cana-1053	885	12	-	-	SYM
cana-1053	885	13	659	659	NUM
cana-1053	885	14	.	.	PUNCT
cana-1053	886	1	[	[	X
cana-1053	886	2	34	34	NUM
cana-1053	886	3	]	]	X
cana-1053	886	4	sharma	sharma	PROPN
cana-1053	886	5	,	,	PUNCT
cana-1053	886	6	b.	b.	PROPN
cana-1053	886	7	d.	d.	PROPN
cana-1053	886	8	and	and	CCONJ
cana-1053	886	9	taneja	taneja	PROPN
cana-1053	886	10	,	,	PUNCT
cana-1053	886	11	i.	i.	PROPN
cana-1053	886	12	j.	j.	PROPN
cana-1053	886	13	(	(	PUNCT
cana-1053	886	14	1975	1975	NUM
cana-1053	886	15	)	)	PUNCT
cana-1053	886	16	.	.	PUNCT
cana-1053	886	17	entropies	entropy	NOUN
cana-1053	886	18	of	of	ADP
cana-1053	886	19	type	type	NOUN
cana-1053	886	20	(	(	PUNCT
cana-1053	886	21			NOUN
cana-1053	886	22	,	,	PUNCT
cana-1053	886	23			NOUN
cana-1053	886	24	)	)	PUNCT
cana-1053	886	25	and	and	CCONJ
cana-1053	886	26	other	other	ADJ
cana-1053	886	27	generalized	generalized	ADJ
cana-1053	886	28	measures	measure	NOUN
cana-1053	886	29	of	of	ADP
cana-1053	886	30	information	information	NOUN
cana-1053	886	31	theory	theory	NOUN
cana-1053	886	32	.	.	PUNCT
cana-1053	887	1	metrica	metrica	PROPN
cana-1053	887	2	22	22	NUM
cana-1053	887	3	:	:	PUNCT
cana-1053	887	4	202	202	NUM
cana-1053	887	5	-	-	SYM
cana-1053	887	6	215	215	NUM
cana-1053	887	7	.	.	PUNCT
cana-1053	888	1	[	[	X
cana-1053	888	2	35	35	NUM
cana-1053	888	3	]	]	X
cana-1053	888	4	sholehkerdar	sholehkerdar	NOUN
cana-1053	888	5	,	,	PUNCT
cana-1053	888	6	a.	a.	NOUN
cana-1053	888	7	,	,	PUNCT
cana-1053	888	8	tavakoli	tavakoli	PROPN
cana-1053	888	9	,	,	PUNCT
cana-1053	888	10	j.	j.	PROPN
cana-1053	888	11	and	and	CCONJ
cana-1053	888	12	liu	liu	PROPN
cana-1053	888	13	,	,	PUNCT
cana-1053	888	14	z.	z.	PROPN
cana-1053	888	15	(	(	PUNCT
cana-1053	888	16	2020	2020	NUM
cana-1053	888	17	)	)	PUNCT
cana-1053	888	18	.	.	PUNCT
cana-1053	889	1	theoretical	theoretical	ADJ
cana-1053	889	2	analysis	analysis	NOUN
cana-1053	889	3	of	of	ADP
cana-1053	889	4	tsallis	tsalli	NOUN
cana-1053	889	5	entropy	entropy	PROPN
cana-1053	889	6	-	-	PUNCT
cana-1053	889	7	based	base	VERB
cana-1053	889	8	quality	quality	NOUN
cana-1053	889	9	measure	measure	NOUN
cana-1053	889	10	for	for	ADP
cana-1053	889	11	weighted	weighted	ADJ
cana-1053	889	12	averaging	average	VERB
cana-1053	889	13	image	image	NOUN
cana-1053	889	14	fusion	fusion	NOUN
cana-1053	889	15	.	.	PUNCT
cana-1053	890	1	information	information	NOUN
cana-1053	890	2	fusion	fusion	NOUN
cana-1053	890	3	58	58	NUM
cana-1053	890	4	:	:	PUNCT
cana-1053	890	5	69	69	NUM
cana-1053	890	6	-	-	SYM
cana-1053	890	7	81	81	NUM
cana-1053	890	8	.	.	PUNCT
cana-1053	891	1	[	[	X
cana-1053	891	2	36	36	NUM
cana-1053	891	3	]	]	X
cana-1053	891	4	shwartz	shwartz	X
cana-1053	891	5	,	,	PUNCT
cana-1053	891	6	r.	r.	PROPN
cana-1053	891	7	and	and	CCONJ
cana-1053	891	8	lecun	lecun	PROPN
cana-1053	891	9	y.	y.	PROPN
cana-1053	891	10	(	(	PUNCT
cana-1053	891	11	2024	2024	NUM
cana-1053	891	12	)	)	PUNCT
cana-1053	891	13	.	.	PUNCT
cana-1053	892	1	to	to	PART
cana-1053	892	2	compress	compress	VERB
cana-1053	892	3	or	or	CCONJ
cana-1053	892	4	not	not	PART
cana-1053	892	5	to	to	PART
cana-1053	892	6	compress	compress	VERB
cana-1053	892	7	—	—	PUNCT
cana-1053	892	8	self	self	NOUN
cana-1053	892	9	-	-	PUNCT
cana-1053	892	10	supervised	supervise	VERB
cana-1053	892	11	learning	learning	NOUN
cana-1053	892	12	and	and	CCONJ
cana-1053	892	13	information	information	NOUN
cana-1053	892	14	theory	theory	NOUN
cana-1053	892	15	:	:	PUNCT
cana-1053	892	16	a	a	DET
cana-1053	892	17	review	review	NOUN
cana-1053	892	18	.	.	PUNCT
cana-1053	893	1	entropy	entropy	PROPN
cana-1053	893	2	26(3	26(3	NUM
cana-1053	893	3	)	)	PUNCT
cana-1053	893	4	,	,	PUNCT
cana-1053	893	5	252	252	NUM
cana-1053	893	6	;	;	PUNCT
cana-1053	893	7	https://doi.org/10.3390/e26030252	https://doi.org/10.3390/e26030252	NUM
cana-1053	893	8	.	.	PUNCT
cana-1053	894	1	[	[	X
cana-1053	894	2	37	37	NUM
cana-1053	894	3	]	]	X
cana-1053	894	4	stoyanov	stoyanov	PROPN
cana-1053	894	5	,	,	PUNCT
cana-1053	894	6	j.m	j.m	PROPN
cana-1053	894	7	.	.	PROPN
cana-1053	894	8	,	,	PUNCT
cana-1053	894	9	tagliani	tagliani	NOUN
cana-1053	894	10	,	,	PUNCT
cana-1053	894	11	a.	a.	NOUN
cana-1053	894	12	and	and	CCONJ
cana-1053	894	13	inverardi	inverardi	PROPN
cana-1053	894	14	,	,	PUNCT
cana-1053	894	15	p.l.n	p.l.n	NOUN
cana-1053	894	16	.	.	PUNCT
cana-1053	894	17	(	(	PUNCT
cana-1053	894	18	2024	2024	NUM
cana-1053	894	19	)	)	PUNCT
cana-1053	894	20	.	.	PUNCT
cana-1053	895	1	maximum	maximum	PROPN
cana-1053	895	2	entropy	entropy	PROPN
cana-1053	895	3	criterion	criterion	NOUN
cana-1053	895	4	for	for	ADP
cana-1053	895	5	moment	moment	NOUN
cana-1053	895	6	indeterminacy	indeterminacy	NOUN
cana-1053	895	7	of	of	ADP
cana-1053	895	8	probability	probability	NOUN
cana-1053	895	9	densities	density	NOUN
cana-1053	895	10	.	.	PUNCT
cana-1053	896	1	entropy	entropy	PROPN
cana-1053	896	2	26(2),121	26(2),121	NUM
cana-1053	896	3	;	;	PUNCT
cana-1053	896	4	https://doi.org/10.3390/e26020121	https://doi.org/10.3390/e26020121	NUM
cana-1053	896	5	.	.	PUNCT
cana-1053	897	1	[	[	X
cana-1053	897	2	38	38	NUM
cana-1053	897	3	]	]	SYM
cana-1053	897	4	thapliyal	thapliyal	NOUN
cana-1053	897	5	,	,	PUNCT
cana-1053	897	6	r.	r.	PROPN
cana-1053	897	7	and	and	CCONJ
cana-1053	897	8	taneja	taneja	PROPN
cana-1053	897	9	,	,	PUNCT
cana-1053	897	10	h.c	h.c	PROPN
cana-1053	897	11	.	.	PUNCT
cana-1053	898	1	(	(	PUNCT
cana-1053	898	2	2015	2015	NUM
cana-1053	898	3	)	)	PUNCT
cana-1053	898	4	.	.	PUNCT
cana-1053	899	1	on	on	ADP
cana-1053	899	2	residual	residual	ADJ
cana-1053	899	3	inaccuracy	inaccuracy	NOUN
cana-1053	899	4	of	of	ADP
cana-1053	899	5	order	order	NOUN
cana-1053	899	6	statistics	statistic	NOUN
cana-1053	899	7	.	.	PUNCT
cana-1053	900	1	statistics	statistic	NOUN
cana-1053	900	2	and	and	CCONJ
cana-1053	900	3	probability	probability	NOUN
cana-1053	900	4	letters	letter	NOUN
cana-1053	900	5	97	97	NUM
cana-1053	900	6	:	:	SYM
cana-1053	900	7	125	125	NUM
cana-1053	900	8	-	-	SYM
cana-1053	900	9	131	131	NUM
cana-1053	900	10	.	.	PUNCT
cana-1053	901	1	[	[	X
cana-1053	901	2	39	39	NUM
cana-1053	901	3	]	]	PUNCT
cana-1053	901	4	yuan	yuan	PROPN
cana-1053	901	5	j	j	PROPN
cana-1053	901	6	,	,	PUNCT
cana-1053	901	7	li	li	PROPN
cana-1053	901	8	x.	x.	PROPN
cana-1053	901	9	,	,	PUNCT
cana-1053	901	10	xu	xu	PROPN
cana-1053	901	11	,	,	PUNCT
cana-1053	901	12	c.	c.	PROPN
cana-1053	901	13	,	,	PUNCT
cana-1053	901	14	zhao	zhao	PROPN
cana-1053	901	15	,	,	PUNCT
cana-1053	901	16	c.	c.	PROPN
cana-1053	901	17	and	and	CCONJ
cana-1053	901	18	liu	liu	PROPN
cana-1053	901	19	,	,	PUNCT
cana-1053	901	20	y.	y.	PROPN
cana-1053	901	21	(	(	PUNCT
cana-1053	901	22	2019	2019	NUM
cana-1053	901	23	)	)	PUNCT
cana-1053	901	24	.	.	PUNCT
cana-1053	902	1	investment	investment	NOUN
cana-1053	902	2	risk	risk	NOUN
cana-1053	902	3	assessment	assessment	NOUN
cana-1053	902	4	of	of	ADP
cana-1053	902	5	coal	coal	NOUN
cana-1053	902	6	-	-	PUNCT
cana-1053	902	7	fired	fire	VERB
cana-1053	902	8	power	power	NOUN
cana-1053	902	9	plants	plant	NOUN
cana-1053	902	10	in	in	ADP
cana-1053	902	11	countries	country	NOUN
cana-1053	902	12	along	along	ADP
cana-1053	902	13	the	the	DET
cana-1053	902	14	belt	belt	NOUN
cana-1053	902	15	and	and	CCONJ
cana-1053	902	16	road	road	NOUN
cana-1053	902	17	initiative	initiative	NOUN
cana-1053	902	18	based	base	VERB
cana-1053	902	19	on	on	ADP
cana-1053	902	20	anp	anp	PROPN
cana-1053	902	21	-	-	PUNCT
cana-1053	902	22	entropy	entropy	NOUN
cana-1053	902	23	-	-	PUNCT
cana-1053	902	24	todim	todim	NOUN
cana-1053	902	25	method	method	NOUN
cana-1053	902	26	.	.	PUNCT
cana-1053	903	1	energy	energy	NOUN
cana-1053	903	2	176	176	NUM
cana-1053	903	3	:	:	PUNCT
cana-1053	903	4	623–640	623–640	NUM
cana-1053	903	5	.	.	PUNCT
cana-1053	904	1	[	[	X
cana-1053	904	2	40	40	NUM
cana-1053	904	3	]	]	X
cana-1053	904	4	zhang	zhang	PROPN
cana-1053	904	5	,	,	PUNCT
cana-1053	904	6	j.	j.	PROPN
cana-1053	904	7	and	and	CCONJ
cana-1053	904	8	shi	shi	PROPN
cana-1053	904	9	,	,	PUNCT
cana-1053	904	10	j.	j.	PROPN
cana-1053	904	11	(	(	PUNCT
cana-1053	904	12	2022	2022	NUM
cana-1053	904	13	)	)	PUNCT
cana-1053	904	14	.	.	PUNCT
cana-1053	905	1	asymptotic	asymptotic	ADJ
cana-1053	905	2	normality	normality	NOUN
cana-1053	905	3	for	for	ADP
cana-1053	905	4	plug	plug	VERB
cana-1053	905	5	-	-	PUNCT
cana-1053	905	6	in	in	ADP
cana-1053	905	7	estimators	estimator	NOUN
cana-1053	905	8	of	of	ADP
cana-1053	905	9	generalized	generalized	ADJ
cana-1053	905	10	shannon	shannon	NOUN
cana-1053	905	11	's	's	PART
cana-1053	905	12	entropy	entropy	PROPN
cana-1053	905	13	.	.	PUNCT
cana-1053	906	1	entropy	entropy	PROPN
cana-1053	906	2	24	24	NUM
cana-1053	906	3	:	:	PUNCT
cana-1053	906	4	683	683	NUM
cana-1053	906	5	.	.	PUNCT
cana-1053	907	1	62	62	NUM
cana-1053	907	2	.	.	PUNCT
cana-1053	908	1	https://www.sciencedirect.com/journal/kuwait-journal-of-science	https://www.sciencedirect.com/journal/kuwait-journal-of-science	NOUN
cana-1053	908	2	https://mathscinet.ams.org/mathscinet/search/journaldoc.html?id=3424	https://mathscinet.ams.org/mathscinet/search/journaldoc.html?id=3424	VERB
cana-1053	908	3	https://mathscinet.ams.org/mathscinet/search/journaldoc.html?id=5738	https://mathscinet.ams.org/mathscinet/search/journaldoc.html?id=5738	NOUN
cana-1053	908	4	https://mathscinet.ams.org/mathscinet/search/publications.html?pg1=issi&s1=460196	https://mathscinet.ams.org/mathscinet/search/publications.html?pg1=issi&s1=460196	ADV