id	sid	tid	token	lemma	pos
ejpam-7120	1	1	european	european	PROPN
ejpam-7120	1	2	journal	journal	PROPN
ejpam-7120	1	3	of	of	ADP
ejpam-7120	1	4	pure	pure	ADJ
ejpam-7120	1	5	and	and	CCONJ
ejpam-7120	1	6	applied	applied	ADJ
ejpam-7120	1	7	mathematics	mathematic	NOUN
ejpam-7120	1	8	2025	2025	NUM
ejpam-7120	1	9	,	,	PUNCT
ejpam-7120	1	10	vol	vol	NOUN
ejpam-7120	1	11	.	.	PROPN
ejpam-7120	1	12	18	18	NUM
ejpam-7120	1	13	,	,	PUNCT
ejpam-7120	1	14	issue	issue	NOUN
ejpam-7120	1	15	4	4	NUM
ejpam-7120	1	16	,	,	PUNCT
ejpam-7120	1	17	article	article	NOUN
ejpam-7120	1	18	number	number	NOUN
ejpam-7120	1	19	7120	7120	NUM
ejpam-7120	1	20	issn	issn	PROPN
ejpam-7120	1	21	1307	1307	NUM
ejpam-7120	1	22	-	-	SYM
ejpam-7120	1	23	5543	5543	NUM
ejpam-7120	1	24	–	–	PUNCT
ejpam-7120	1	25	ejpam.com	ejpam.com	X
ejpam-7120	1	26	published	publish	VERB
ejpam-7120	1	27	by	by	ADP
ejpam-7120	1	28	new	new	PROPN
ejpam-7120	1	29	york	york	PROPN
ejpam-7120	1	30	business	business	PROPN
ejpam-7120	1	31	global	global	PROPN
ejpam-7120	1	32	neutrosophic	neutrosophic	ADJ
ejpam-7120	1	33	statistical	statistical	ADJ
ejpam-7120	1	34	manifolds	manifold	NOUN
ejpam-7120	1	35	:	:	PUNCT
ejpam-7120	1	36	a	a	DET
ejpam-7120	1	37	unified	unified	ADJ
ejpam-7120	1	38	framework	framework	NOUN
ejpam-7120	1	39	for	for	ADP
ejpam-7120	1	40	information	information	NOUN
ejpam-7120	1	41	geometry	geometry	NOUN
ejpam-7120	1	42	with	with	ADP
ejpam-7120	1	43	uncertainty	uncertainty	NOUN
ejpam-7120	1	44	quantification	quantification	NOUN
ejpam-7120	1	45	abed	abe	VERB
ejpam-7120	1	46	al	al	PROPN
ejpam-7120	1	47	-	-	PUNCT
ejpam-7120	1	48	rahman	rahman	PROPN
ejpam-7120	1	49	m.	m.	PROPN
ejpam-7120	1	50	malkawi1,∗	malkawi1,∗	PROPN
ejpam-7120	1	51	,	,	PUNCT
ejpam-7120	1	52	ayat	ayat	PROPN
ejpam-7120	1	53	m.	m.	NOUN
ejpam-7120	1	54	rabaiah1	rabaiah1	PROPN
ejpam-7120	1	55	1	1	NUM
ejpam-7120	1	56	department	department	NOUN
ejpam-7120	1	57	of	of	ADP
ejpam-7120	1	58	mathematics	mathematic	NOUN
ejpam-7120	1	59	,	,	PUNCT
ejpam-7120	1	60	faculty	faculty	NOUN
ejpam-7120	1	61	of	of	ADP
ejpam-7120	1	62	arts	art	NOUN
ejpam-7120	1	63	and	and	CCONJ
ejpam-7120	1	64	science	science	NOUN
ejpam-7120	1	65	,	,	PUNCT
ejpam-7120	1	66	amman	amman	PROPN
ejpam-7120	1	67	arab	arab	PROPN
ejpam-7120	1	68	university	university	PROPN
ejpam-7120	1	69	,	,	PUNCT
ejpam-7120	1	70	amman	amman	PROPN
ejpam-7120	1	71	11953	11953	NUM
ejpam-7120	1	72	,	,	PUNCT
ejpam-7120	1	73	jordan	jordan	PROPN
ejpam-7120	1	74	abstract	abstract	PROPN
ejpam-7120	1	75	.	.	PUNCT
ejpam-7120	2	1	this	this	DET
ejpam-7120	2	2	paper	paper	NOUN
ejpam-7120	2	3	introduces	introduce	VERB
ejpam-7120	2	4	a	a	DET
ejpam-7120	2	5	novel	novel	ADJ
ejpam-7120	2	6	framework	framework	NOUN
ejpam-7120	2	7	integrating	integrate	VERB
ejpam-7120	2	8	neutrosophic	neutrosophic	ADJ
ejpam-7120	2	9	logic	logic	NOUN
ejpam-7120	2	10	with	with	ADP
ejpam-7120	2	11	information	information	NOUN
ejpam-7120	2	12	geometry	geometry	NOUN
ejpam-7120	2	13	,	,	PUNCT
ejpam-7120	2	14	establishing	establish	VERB
ejpam-7120	2	15	the	the	DET
ejpam-7120	2	16	foundation	foundation	NOUN
ejpam-7120	2	17	of	of	ADP
ejpam-7120	2	18	neutrosophic	neutrosophic	ADJ
ejpam-7120	2	19	statistical	statistical	ADJ
ejpam-7120	2	20	manifolds	manifold	NOUN
ejpam-7120	2	21	.	.	PUNCT
ejpam-7120	3	1	we	we	PRON
ejpam-7120	3	2	define	define	VERB
ejpam-7120	3	3	a	a	DET
ejpam-7120	3	4	neutrosophic	neutrosophic	ADJ
ejpam-7120	3	5	mr	mr	ADJ
ejpam-7120	3	6	-	-	PUNCT
ejpam-7120	3	7	metric	metric	ADJ
ejpam-7120	3	8	structure	structure	NOUN
ejpam-7120	3	9	on	on	ADP
ejpam-7120	3	10	statistical	statistical	ADJ
ejpam-7120	3	11	manifolds	manifold	NOUN
ejpam-7120	3	12	,	,	PUNCT
ejpam-7120	3	13	incorporating	incorporate	VERB
ejpam-7120	3	14	truth	truth	NOUN
ejpam-7120	3	15	,	,	PUNCT
ejpam-7120	3	16	indeterminacy	indeterminacy	NOUN
ejpam-7120	3	17	,	,	PUNCT
ejpam-7120	3	18	and	and	CCONJ
ejpam-7120	3	19	falsity	falsity	NOUN
ejpam-7120	3	20	membership	membership	NOUN
ejpam-7120	3	21	functions	function	NOUN
ejpam-7120	3	22	to	to	PART
ejpam-7120	3	23	quantify	quantify	VERB
ejpam-7120	3	24	distributional	distributional	ADJ
ejpam-7120	3	25	similarity	similarity	NOUN
ejpam-7120	3	26	,	,	PUNCT
ejpam-7120	3	27	epistemic	epistemic	ADJ
ejpam-7120	3	28	uncertainty	uncertainty	NOUN
ejpam-7120	3	29	,	,	PUNCT
ejpam-7120	3	30	and	and	CCONJ
ejpam-7120	3	31	dissimilarity	dissimilarity	NOUN
ejpam-7120	3	32	.	.	PUNCT
ejpam-7120	4	1	the	the	DET
ejpam-7120	4	2	proposed	propose	VERB
ejpam-7120	4	3	structure	structure	NOUN
ejpam-7120	4	4	generalizes	generalize	VERB
ejpam-7120	4	5	the	the	DET
ejpam-7120	4	6	fisher	fisher	NOUN
ejpam-7120	4	7	–	–	PUNCT
ejpam-7120	4	8	rao	rao	NOUN
ejpam-7120	4	9	metric	metric	ADJ
ejpam-7120	4	10	through	through	ADP
ejpam-7120	4	11	a	a	DET
ejpam-7120	4	12	symmetric	symmetric	ADJ
ejpam-7120	4	13	triple	triple	ADV
ejpam-7120	4	14	-	-	PUNCT
ejpam-7120	4	15	based	base	VERB
ejpam-7120	4	16	formulation	formulation	NOUN
ejpam-7120	4	17	using	use	VERB
ejpam-7120	4	18	jensen	jensen	PROPN
ejpam-7120	4	19	–	–	PUNCT
ejpam-7120	4	20	shannon	shannon	PROPN
ejpam-7120	4	21	divergence	divergence	NOUN
ejpam-7120	4	22	.	.	PUNCT
ejpam-7120	5	1	we	we	PRON
ejpam-7120	5	2	prove	prove	VERB
ejpam-7120	5	3	that	that	SCONJ
ejpam-7120	5	4	the	the	DET
ejpam-7120	5	5	triplet	triplet	NOUN
ejpam-7120	5	6	(	(	PUNCT
ejpam-7120	5	7	t	t	PROPN
ejpam-7120	5	8	,	,	PUNCT
ejpam-7120	5	9	i	i	PRON
ejpam-7120	5	10	,	,	PUNCT
ejpam-7120	5	11	f	f	X
ejpam-7120	5	12	)	)	PUNCT
ejpam-7120	5	13	satisfies	satisfy	VERB
ejpam-7120	5	14	all	all	DET
ejpam-7120	5	15	axioms	axiom	NOUN
ejpam-7120	5	16	of	of	ADP
ejpam-7120	5	17	a	a	DET
ejpam-7120	5	18	neutrosophic	neutrosophic	ADJ
ejpam-7120	5	19	mr	mr	ADJ
ejpam-7120	5	20	-	-	PUNCT
ejpam-7120	5	21	metric	metric	ADJ
ejpam-7120	5	22	space	space	NOUN
ejpam-7120	5	23	and	and	CCONJ
ejpam-7120	5	24	derive	derive	ADJ
ejpam-7120	5	25	explicit	explicit	ADJ
ejpam-7120	5	26	relations	relation	NOUN
ejpam-7120	5	27	between	between	ADP
ejpam-7120	5	28	the	the	DET
ejpam-7120	5	29	contraction	contraction	NOUN
ejpam-7120	5	30	constant	constant	ADJ
ejpam-7120	5	31	r	r	NOUN
ejpam-7120	5	32	and	and	CCONJ
ejpam-7120	5	33	the	the	DET
ejpam-7120	5	34	curvature	curvature	NOUN
ejpam-7120	5	35	of	of	ADP
ejpam-7120	5	36	the	the	DET
ejpam-7120	5	37	underlying	underlying	ADJ
ejpam-7120	5	38	statistical	statistical	ADJ
ejpam-7120	5	39	manifold	manifold	NOUN
ejpam-7120	5	40	.	.	PUNCT
ejpam-7120	6	1	several	several	ADJ
ejpam-7120	6	2	applications	application	NOUN
ejpam-7120	6	3	are	be	AUX
ejpam-7120	6	4	explored	explore	VERB
ejpam-7120	6	5	,	,	PUNCT
ejpam-7120	6	6	including	include	VERB
ejpam-7120	6	7	gaussian	gaussian	ADJ
ejpam-7120	6	8	and	and	CCONJ
ejpam-7120	6	9	categorical	categorical	ADJ
ejpam-7120	6	10	models	model	NOUN
ejpam-7120	6	11	,	,	PUNCT
ejpam-7120	6	12	hypothesis	hypothesis	NOUN
ejpam-7120	6	13	testing	testing	NOUN
ejpam-7120	6	14	,	,	PUNCT
ejpam-7120	6	15	model	model	NOUN
ejpam-7120	6	16	selection	selection	NOUN
ejpam-7120	6	17	,	,	PUNCT
ejpam-7120	6	18	geometric	geometric	ADJ
ejpam-7120	6	19	machine	machine	NOUN
ejpam-7120	6	20	learning	learning	NOUN
ejpam-7120	6	21	,	,	PUNCT
ejpam-7120	6	22	and	and	CCONJ
ejpam-7120	6	23	quantum	quantum	ADJ
ejpam-7120	6	24	information	information	NOUN
ejpam-7120	6	25	geometry	geometry	NOUN
ejpam-7120	6	26	.	.	PUNCT
ejpam-7120	7	1	this	this	DET
ejpam-7120	7	2	work	work	NOUN
ejpam-7120	7	3	bridges	bridge	VERB
ejpam-7120	7	4	fixed	fix	VERB
ejpam-7120	7	5	-	-	PUNCT
ejpam-7120	7	6	point	point	NOUN
ejpam-7120	7	7	theory	theory	NOUN
ejpam-7120	7	8	in	in	ADP
ejpam-7120	7	9	generalized	generalized	ADJ
ejpam-7120	7	10	metric	metric	ADJ
ejpam-7120	7	11	spaces	space	NOUN
ejpam-7120	7	12	with	with	ADP
ejpam-7120	7	13	statistical	statistical	ADJ
ejpam-7120	7	14	inference	inference	NOUN
ejpam-7120	7	15	under	under	ADP
ejpam-7120	7	16	uncertainty	uncertainty	NOUN
ejpam-7120	7	17	,	,	PUNCT
ejpam-7120	7	18	offering	offer	VERB
ejpam-7120	7	19	a	a	DET
ejpam-7120	7	20	robust	robust	ADJ
ejpam-7120	7	21	tool	tool	NOUN
ejpam-7120	7	22	for	for	ADP
ejpam-7120	7	23	uncertainty	uncertainty	NOUN
ejpam-7120	7	24	-	-	PUNCT
ejpam-7120	7	25	aware	aware	ADJ
ejpam-7120	7	26	data	datum	NOUN
ejpam-7120	7	27	analysis	analysis	NOUN
ejpam-7120	7	28	.	.	PUNCT
ejpam-7120	8	1	2020	2020	NUM
ejpam-7120	8	2	mathematics	mathematic	NOUN
ejpam-7120	8	3	subject	subject	NOUN
ejpam-7120	8	4	classifications	classification	NOUN
ejpam-7120	8	5	:	:	PUNCT
ejpam-7120	8	6	53b12	53b12	NUM
ejpam-7120	8	7	,	,	PUNCT
ejpam-7120	8	8	62b11	62b11	NUM
ejpam-7120	8	9	,	,	PUNCT
ejpam-7120	8	10	46s50	46s50	NUM
ejpam-7120	8	11	,	,	PUNCT
ejpam-7120	8	12	03e72	03e72	NUM
ejpam-7120	8	13	,	,	PUNCT
ejpam-7120	8	14	68t37	68t37	ADV
ejpam-7120	8	15	key	key	ADJ
ejpam-7120	8	16	words	word	NOUN
ejpam-7120	8	17	and	and	CCONJ
ejpam-7120	8	18	phrases	phrase	NOUN
ejpam-7120	8	19	:	:	PUNCT
ejpam-7120	8	20	neutrosophic	neutrosophic	ADJ
ejpam-7120	8	21	logic	logic	NOUN
ejpam-7120	8	22	,	,	PUNCT
ejpam-7120	8	23	information	information	NOUN
ejpam-7120	8	24	geometry	geometry	NOUN
ejpam-7120	8	25	,	,	PUNCT
ejpam-7120	8	26	mr	mr	PROPN
ejpam-7120	8	27	-	-	PUNCT
ejpam-7120	8	28	metric	metric	ADJ
ejpam-7120	8	29	spaces	space	NOUN
ejpam-7120	8	30	,	,	PUNCT
ejpam-7120	8	31	jensen	jensen	PROPN
ejpam-7120	8	32	–	–	PUNCT
ejpam-7120	8	33	shannon	shannon	PROPN
ejpam-7120	8	34	divergence	divergence	PROPN
ejpam-7120	8	35	,	,	PUNCT
ejpam-7120	8	36	statistical	statistical	ADJ
ejpam-7120	8	37	manifolds	manifold	NOUN
ejpam-7120	8	38	,	,	PUNCT
ejpam-7120	8	39	uncertainty	uncertainty	NOUN
ejpam-7120	8	40	quantification	quantification	NOUN
ejpam-7120	8	41	,	,	PUNCT
ejpam-7120	8	42	fixed	fix	VERB
ejpam-7120	8	43	point	point	NOUN
ejpam-7120	8	44	theory	theory	NOUN
ejpam-7120	8	45	1	1	NUM
ejpam-7120	8	46	.	.	PUNCT
ejpam-7120	8	47	introduction	introduction	NOUN
ejpam-7120	8	48	the	the	DET
ejpam-7120	8	49	study	study	NOUN
ejpam-7120	8	50	of	of	ADP
ejpam-7120	8	51	generalized	generalized	ADJ
ejpam-7120	8	52	metric	metric	ADJ
ejpam-7120	8	53	spaces	space	NOUN
ejpam-7120	8	54	has	have	AUX
ejpam-7120	8	55	been	be	AUX
ejpam-7120	8	56	a	a	DET
ejpam-7120	8	57	fertile	fertile	ADJ
ejpam-7120	8	58	area	area	NOUN
ejpam-7120	8	59	of	of	ADP
ejpam-7120	8	60	research	research	NOUN
ejpam-7120	8	61	in	in	ADP
ejpam-7120	8	62	pure	pure	ADJ
ejpam-7120	8	63	and	and	CCONJ
ejpam-7120	8	64	applied	applied	ADJ
ejpam-7120	8	65	mathematics	mathematic	NOUN
ejpam-7120	8	66	,	,	PUNCT
ejpam-7120	8	67	with	with	ADP
ejpam-7120	8	68	significant	significant	ADJ
ejpam-7120	8	69	contributions	contribution	NOUN
ejpam-7120	8	70	to	to	ADP
ejpam-7120	8	71	fixed	fix	VERB
ejpam-7120	8	72	-	-	PUNCT
ejpam-7120	8	73	point	point	NOUN
ejpam-7120	8	74	theory	theory	NOUN
ejpam-7120	8	75	and	and	CCONJ
ejpam-7120	8	76	its	its	PRON
ejpam-7120	8	77	applications	application	NOUN
ejpam-7120	8	78	.	.	PUNCT
ejpam-7120	9	1	the	the	DET
ejpam-7120	9	2	concept	concept	NOUN
ejpam-7120	9	3	of	of	ADP
ejpam-7120	9	4	b	b	NOUN
ejpam-7120	9	5	-	-	PUNCT
ejpam-7120	9	6	metric	metric	ADJ
ejpam-7120	9	7	spaces	space	NOUN
ejpam-7120	9	8	was	be	AUX
ejpam-7120	9	9	introduced	introduce	VERB
ejpam-7120	9	10	by	by	ADP
ejpam-7120	9	11	bakhtin	bakhtin	NOUN
ejpam-7120	9	12	[	[	X
ejpam-7120	9	13	1	1	NUM
ejpam-7120	9	14	]	]	PUNCT
ejpam-7120	9	15	and	and	CCONJ
ejpam-7120	9	16	later	later	ADV
ejpam-7120	9	17	formalized	formalize	VERB
ejpam-7120	9	18	by	by	ADP
ejpam-7120	9	19	czerwik	czerwik	PROPN
ejpam-7120	10	1	[	[	X
ejpam-7120	10	2	2	2	NUM
ejpam-7120	10	3	]	]	PUNCT
ejpam-7120	10	4	,	,	PUNCT
ejpam-7120	10	5	providing	provide	VERB
ejpam-7120	10	6	a	a	DET
ejpam-7120	10	7	framework	framework	NOUN
ejpam-7120	10	8	for	for	ADP
ejpam-7120	10	9	handling	handle	VERB
ejpam-7120	10	10	non	non	ADJ
ejpam-7120	10	11	-	-	ADJ
ejpam-7120	10	12	linear	linear	ADJ
ejpam-7120	10	13	contraction	contraction	NOUN
ejpam-7120	10	14	mappings	mapping	NOUN
ejpam-7120	10	15	.	.	PUNCT
ejpam-7120	11	1	subsequent	subsequent	ADJ
ejpam-7120	11	2	extensions	extension	NOUN
ejpam-7120	11	3	,	,	PUNCT
ejpam-7120	11	4	such	such	ADJ
ejpam-7120	11	5	as	as	ADP
ejpam-7120	11	6	gb	gb	ADV
ejpam-7120	11	7	-	-	PUNCT
ejpam-7120	11	8	metric	metric	ADJ
ejpam-7120	11	9	spaces	space	NOUN
ejpam-7120	11	10	and	and	CCONJ
ejpam-7120	11	11	ω	ω	VERB
ejpam-7120	11	12	-	-	PUNCT
ejpam-7120	11	13	distance	distance	NOUN
ejpam-7120	11	14	mappings	mapping	NOUN
ejpam-7120	11	15	,	,	PUNCT
ejpam-7120	11	16	have	have	AUX
ejpam-7120	11	17	further	far	ADV
ejpam-7120	11	18	enriched	enrich	VERB
ejpam-7120	11	19	the	the	DET
ejpam-7120	11	20	theory	theory	NOUN
ejpam-7120	11	21	[	[	X
ejpam-7120	11	22	3–11	3–11	NOUN
ejpam-7120	11	23	]	]	PUNCT
ejpam-7120	11	24	.	.	PUNCT
ejpam-7120	12	1	∗corresponding	∗corresponde	VERB
ejpam-7120	12	2	author	author	NOUN
ejpam-7120	12	3	.	.	PUNCT
ejpam-7120	13	1	doi	doi	NOUN
ejpam-7120	13	2	:	:	PUNCT
ejpam-7120	13	3	https://doi.org/10.29020/nybg.ejpam.v18i4.7120	https://doi.org/10.29020/nybg.ejpam.v18i4.7120	ADJ
ejpam-7120	13	4	email	email	NOUN
ejpam-7120	13	5	addresses	address	NOUN
ejpam-7120	13	6	:	:	PUNCT
ejpam-7120	13	7	a.malkawi@aau.edu.jo	a.malkawi@aau.edu.jo	PROPN
ejpam-7120	13	8	,	,	PUNCT
ejpam-7120	13	9	math.malkawi@gmail.com	math.malkawi@gmail.com	X
ejpam-7120	13	10	(	(	PUNCT
ejpam-7120	13	11	a.	a.	NOUN
ejpam-7120	13	12	malkawi	malkawi	PROPN
ejpam-7120	13	13	)	)	PUNCT
ejpam-7120	13	14	,	,	PUNCT
ejpam-7120	13	15	a.rabaieha@aau.edu.jo	a.rabaieha@aau.edu.jo	PROPN
ejpam-7120	13	16	(	(	PUNCT
ejpam-7120	13	17	a.	a.	NOUN
ejpam-7120	13	18	rabaiah	rabaiah	PROPN
ejpam-7120	13	19	)	)	PUNCT
ejpam-7120	13	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-7120	14	1	1	1	NUM
ejpam-7120	14	2	copyright	copyright	NOUN
ejpam-7120	14	3	:	:	PUNCT
ejpam-7120	14	4	©	©	PROPN
ejpam-7120	14	5	2025	2025	NUM
ejpam-7120	14	6	the	the	DET
ejpam-7120	14	7	author(s	author(s	NOUN
ejpam-7120	14	8	)	)	PUNCT
ejpam-7120	14	9	.	.	PUNCT
ejpam-7120	15	1	(	(	PUNCT
ejpam-7120	15	2	cc	cc	NOUN
ejpam-7120	15	3	by	by	ADP
ejpam-7120	15	4	-	-	PUNCT
ejpam-7120	15	5	nc	nc	PROPN
ejpam-7120	15	6	4.0	4.0	NUM
ejpam-7120	15	7	)	)	PUNCT
ejpam-7120	15	8	a.	a.	NOUN
ejpam-7120	15	9	malkawi	malkawi	PROPN
ejpam-7120	15	10	,	,	PUNCT
ejpam-7120	15	11	a.	a.	PROPN
ejpam-7120	15	12	rabaiah	rabaiah	PROPN
ejpam-7120	15	13	/	/	SYM
ejpam-7120	15	14	eur	eur	PROPN
ejpam-7120	15	15	.	.	PUNCT
ejpam-7120	16	1	j.	j.	PROPN
ejpam-7120	16	2	pure	pure	PROPN
ejpam-7120	16	3	appl	appl	PROPN
ejpam-7120	16	4	.	.	PROPN
ejpam-7120	16	5	math	math	PROPN
ejpam-7120	16	6	,	,	PUNCT
ejpam-7120	16	7	18	18	NUM
ejpam-7120	16	8	(	(	PUNCT
ejpam-7120	16	9	4	4	NUM
ejpam-7120	16	10	)	)	PUNCT
ejpam-7120	16	11	(	(	PUNCT
ejpam-7120	16	12	2025	2025	NUM
ejpam-7120	16	13	)	)	PUNCT
ejpam-7120	16	14	,	,	PUNCT
ejpam-7120	16	15	7120	7120	NUM
ejpam-7120	16	16	2	2	NUM
ejpam-7120	16	17	of	of	ADP
ejpam-7120	16	18	16	16	NUM
ejpam-7120	16	19	in	in	ADP
ejpam-7120	16	20	parallel	parallel	NOUN
ejpam-7120	16	21	,	,	PUNCT
ejpam-7120	16	22	the	the	DET
ejpam-7120	16	23	notion	notion	NOUN
ejpam-7120	16	24	of	of	ADP
ejpam-7120	16	25	mr	mr	PROPN
ejpam-7120	16	26	-	-	PUNCT
ejpam-7120	16	27	metric	metric	ADJ
ejpam-7120	16	28	spaces	space	NOUN
ejpam-7120	16	29	was	be	AUX
ejpam-7120	16	30	introduced	introduce	VERB
ejpam-7120	16	31	by	by	ADP
ejpam-7120	16	32	malkawi	malkawi	PROPN
ejpam-7120	16	33	et	et	PROPN
ejpam-7120	16	34	al	al	PROPN
ejpam-7120	16	35	.	.	PUNCT
ejpam-7120	17	1	[	[	X
ejpam-7120	17	2	12	12	NUM
ejpam-7120	17	3	]	]	PUNCT
ejpam-7120	17	4	as	as	ADP
ejpam-7120	17	5	a	a	DET
ejpam-7120	17	6	generalization	generalization	NOUN
ejpam-7120	17	7	of	of	ADP
ejpam-7120	17	8	standard	standard	ADJ
ejpam-7120	17	9	metric	metric	ADJ
ejpam-7120	17	10	spaces	space	NOUN
ejpam-7120	17	11	,	,	PUNCT
ejpam-7120	17	12	enabling	enable	VERB
ejpam-7120	17	13	the	the	DET
ejpam-7120	17	14	analysis	analysis	NOUN
ejpam-7120	17	15	of	of	ADP
ejpam-7120	17	16	triple	triple	ADJ
ejpam-7120	17	17	-	-	PUNCT
ejpam-7120	17	18	based	base	VERB
ejpam-7120	17	19	geometric	geometric	ADJ
ejpam-7120	17	20	structures	structure	NOUN
ejpam-7120	17	21	.	.	PUNCT
ejpam-7120	18	1	this	this	PRON
ejpam-7120	18	2	has	have	AUX
ejpam-7120	18	3	led	lead	VERB
ejpam-7120	18	4	to	to	ADP
ejpam-7120	18	5	numerous	numerous	ADJ
ejpam-7120	18	6	fixed	fix	VERB
ejpam-7120	18	7	-	-	PUNCT
ejpam-7120	18	8	point	point	NOUN
ejpam-7120	18	9	results	result	NOUN
ejpam-7120	18	10	under	under	ADP
ejpam-7120	18	11	various	various	ADJ
ejpam-7120	18	12	contraction	contraction	NOUN
ejpam-7120	18	13	conditions	condition	NOUN
ejpam-7120	18	14	[	[	X
ejpam-7120	18	15	13–23	13–23	X
ejpam-7120	18	16	]	]	PUNCT
ejpam-7120	18	17	.	.	PUNCT
ejpam-7120	19	1	recent	recent	ADJ
ejpam-7120	19	2	work	work	NOUN
ejpam-7120	19	3	has	have	AUX
ejpam-7120	19	4	also	also	ADV
ejpam-7120	19	5	explored	explore	VERB
ejpam-7120	19	6	the	the	DET
ejpam-7120	19	7	intersection	intersection	NOUN
ejpam-7120	19	8	of	of	ADP
ejpam-7120	19	9	metric	metric	ADJ
ejpam-7120	19	10	spaces	space	NOUN
ejpam-7120	19	11	with	with	ADP
ejpam-7120	19	12	fuzzy	fuzzy	ADJ
ejpam-7120	19	13	and	and	CCONJ
ejpam-7120	19	14	neutrosophic	neutrosophic	ADJ
ejpam-7120	19	15	logic	logic	NOUN
ejpam-7120	19	16	.	.	PUNCT
ejpam-7120	20	1	for	for	ADP
ejpam-7120	20	2	instance	instance	NOUN
ejpam-7120	20	3	,	,	PUNCT
ejpam-7120	20	4	hazaymeh	hazaymeh	NOUN
ejpam-7120	20	5	and	and	CCONJ
ejpam-7120	20	6	bataihah	bataihah	NOUN
ejpam-7120	20	7	[	[	X
ejpam-7120	20	8	24	24	NUM
ejpam-7120	20	9	]	]	PUNCT
ejpam-7120	20	10	and	and	CCONJ
ejpam-7120	20	11	bataihah	bataihah	ADJ
ejpam-7120	20	12	and	and	CCONJ
ejpam-7120	20	13	hazaymeh	hazaymeh	NOUN
ejpam-7120	20	14	[	[	X
ejpam-7120	20	15	25	25	NUM
ejpam-7120	20	16	]	]	PUNCT
ejpam-7120	20	17	introduced	introduce	VERB
ejpam-7120	20	18	neutrosophic	neutrosophic	ADJ
ejpam-7120	20	19	fuzzy	fuzzy	ADJ
ejpam-7120	20	20	metric	metric	ADJ
ejpam-7120	20	21	spaces	space	NOUN
ejpam-7120	20	22	,	,	PUNCT
ejpam-7120	20	23	while	while	SCONJ
ejpam-7120	20	24	malkawi	malkawi	ADP
ejpam-7120	20	25	[	[	X
ejpam-7120	20	26	26	26	NUM
ejpam-7120	20	27	,	,	PUNCT
ejpam-7120	20	28	27	27	NUM
ejpam-7120	20	29	]	]	PUNCT
ejpam-7120	20	30	extended	extend	VERB
ejpam-7120	20	31	fixed	fix	VERB
ejpam-7120	20	32	-	-	PUNCT
ejpam-7120	20	33	point	point	NOUN
ejpam-7120	20	34	theory	theory	NOUN
ejpam-7120	20	35	to	to	ADP
ejpam-7120	20	36	neutrosophic	neutrosophic	ADJ
ejpam-7120	20	37	mr	mr	PROPN
ejpam-7120	20	38	-	-	PUNCT
ejpam-7120	20	39	metric	metric	ADJ
ejpam-7120	20	40	settings	setting	NOUN
ejpam-7120	20	41	.	.	PUNCT
ejpam-7120	21	1	on	on	ADP
ejpam-7120	21	2	the	the	DET
ejpam-7120	21	3	other	other	ADJ
ejpam-7120	21	4	hand	hand	NOUN
ejpam-7120	21	5	,	,	PUNCT
ejpam-7120	21	6	information	information	NOUN
ejpam-7120	21	7	geometry	geometry	NOUN
ejpam-7120	21	8	—	—	PUNCT
ejpam-7120	21	9	the	the	DET
ejpam-7120	21	10	study	study	NOUN
ejpam-7120	21	11	of	of	ADP
ejpam-7120	21	12	statistical	statistical	ADJ
ejpam-7120	21	13	manifolds	manifold	NOUN
ejpam-7120	21	14	endowed	endow	VERB
ejpam-7120	21	15	with	with	ADP
ejpam-7120	21	16	the	the	DET
ejpam-7120	21	17	fisher	fisher	NOUN
ejpam-7120	21	18	–	–	PUNCT
ejpam-7120	21	19	rao	rao	NOUN
ejpam-7120	21	20	metric	metric	NOUN
ejpam-7120	21	21	—	—	PUNCT
ejpam-7120	21	22	has	have	AUX
ejpam-7120	21	23	provided	provide	VERB
ejpam-7120	21	24	deep	deep	ADJ
ejpam-7120	21	25	insights	insight	NOUN
ejpam-7120	21	26	into	into	ADP
ejpam-7120	21	27	the	the	DET
ejpam-7120	21	28	geometric	geometric	ADJ
ejpam-7120	21	29	structure	structure	NOUN
ejpam-7120	21	30	of	of	ADP
ejpam-7120	21	31	probability	probability	NOUN
ejpam-7120	21	32	distributions	distribution	NOUN
ejpam-7120	21	33	.	.	PUNCT
ejpam-7120	22	1	divergence	divergence	NOUN
ejpam-7120	22	2	measures	measure	NOUN
ejpam-7120	22	3	such	such	ADJ
ejpam-7120	22	4	as	as	ADP
ejpam-7120	22	5	the	the	DET
ejpam-7120	22	6	kullback	kullback	NOUN
ejpam-7120	22	7	–	–	PUNCT
ejpam-7120	22	8	leibler	leibl	ADJ
ejpam-7120	22	9	divergence	divergence	NOUN
ejpam-7120	22	10	and	and	CCONJ
ejpam-7120	22	11	jensen	jensen	PROPN
ejpam-7120	22	12	–	–	PUNCT
ejpam-7120	22	13	shannon	shannon	PROPN
ejpam-7120	22	14	divergence	divergence	NOUN
ejpam-7120	22	15	play	play	VERB
ejpam-7120	22	16	a	a	DET
ejpam-7120	22	17	central	central	ADJ
ejpam-7120	22	18	role	role	NOUN
ejpam-7120	22	19	in	in	ADP
ejpam-7120	22	20	this	this	DET
ejpam-7120	22	21	field	field	NOUN
ejpam-7120	22	22	.	.	PUNCT
ejpam-7120	23	1	recent	recent	ADJ
ejpam-7120	23	2	work	work	NOUN
ejpam-7120	23	3	by	by	ADP
ejpam-7120	23	4	malkawi	malkawi	NOUN
ejpam-7120	23	5	and	and	CCONJ
ejpam-7120	23	6	rabaiah	rabaiah	PROPN
ejpam-7120	23	7	[	[	X
ejpam-7120	23	8	28	28	NUM
ejpam-7120	23	9	,	,	PUNCT
ejpam-7120	23	10	29	29	NUM
ejpam-7120	23	11	]	]	PUNCT
ejpam-7120	23	12	has	have	AUX
ejpam-7120	23	13	begun	begin	VERB
ejpam-7120	23	14	to	to	PART
ejpam-7120	23	15	explore	explore	VERB
ejpam-7120	23	16	the	the	DET
ejpam-7120	23	17	connections	connection	NOUN
ejpam-7120	23	18	between	between	ADP
ejpam-7120	23	19	mr	mr	PROPN
ejpam-7120	23	20	-	-	PUNCT
ejpam-7120	23	21	metric	metric	ADJ
ejpam-7120	23	22	spaces	space	NOUN
ejpam-7120	23	23	and	and	CCONJ
ejpam-7120	23	24	information	information	NOUN
ejpam-7120	23	25	-	-	PUNCT
ejpam-7120	23	26	theoretic	theoretic	NOUN
ejpam-7120	23	27	divergences	divergence	NOUN
ejpam-7120	23	28	.	.	PUNCT
ejpam-7120	24	1	this	this	DET
ejpam-7120	24	2	paper	paper	NOUN
ejpam-7120	24	3	unifies	unify	VERB
ejpam-7120	24	4	these	these	DET
ejpam-7120	24	5	two	two	NUM
ejpam-7120	24	6	streams	stream	NOUN
ejpam-7120	24	7	of	of	ADP
ejpam-7120	24	8	research	research	NOUN
ejpam-7120	24	9	by	by	ADP
ejpam-7120	24	10	introducing	introduce	VERB
ejpam-7120	24	11	neutrosophic	neutrosophic	ADJ
ejpam-7120	24	12	statistical	statistical	ADJ
ejpam-7120	24	13	manifolds	manifold	NOUN
ejpam-7120	24	14	—	—	PUNCT
ejpam-7120	24	15	a	a	DET
ejpam-7120	24	16	structure	structure	NOUN
ejpam-7120	24	17	that	that	PRON
ejpam-7120	24	18	combines	combine	VERB
ejpam-7120	24	19	the	the	DET
ejpam-7120	24	20	triple	triple	ADV
ejpam-7120	24	21	-	-	PUNCT
ejpam-7120	24	22	based	base	VERB
ejpam-7120	24	23	geometry	geometry	NOUN
ejpam-7120	24	24	of	of	ADP
ejpam-7120	24	25	mr	mr	PROPN
ejpam-7120	24	26	-	-	PUNCT
ejpam-7120	24	27	metric	metric	ADJ
ejpam-7120	24	28	spaces	space	NOUN
ejpam-7120	24	29	with	with	ADP
ejpam-7120	24	30	the	the	DET
ejpam-7120	24	31	uncertainty	uncertainty	NOUN
ejpam-7120	24	32	-	-	PUNCT
ejpam-7120	24	33	handling	handle	VERB
ejpam-7120	24	34	capabilities	capability	NOUN
ejpam-7120	24	35	of	of	ADP
ejpam-7120	24	36	neutrosophic	neutrosophic	ADJ
ejpam-7120	24	37	logic	logic	NOUN
ejpam-7120	24	38	.	.	PUNCT
ejpam-7120	25	1	our	our	PRON
ejpam-7120	25	2	work	work	NOUN
ejpam-7120	25	3	is	be	AUX
ejpam-7120	25	4	also	also	ADV
ejpam-7120	25	5	influenced	influence	VERB
ejpam-7120	25	6	by	by	ADP
ejpam-7120	25	7	applications	application	NOUN
ejpam-7120	25	8	of	of	ADP
ejpam-7120	25	9	generalized	generalized	ADJ
ejpam-7120	25	10	metric	metric	ADJ
ejpam-7120	25	11	spaces	space	NOUN
ejpam-7120	25	12	to	to	PART
ejpam-7120	25	13	fractional	fractional	VERB
ejpam-7120	25	14	differential	differential	ADJ
ejpam-7120	25	15	equations	equation	NOUN
ejpam-7120	26	1	[	[	X
ejpam-7120	26	2	30–39	30–39	NUM
ejpam-7120	26	3	]	]	PUNCT
ejpam-7120	26	4	and	and	CCONJ
ejpam-7120	26	5	cyclic	cyclic	ADJ
ejpam-7120	26	6	mappings	mapping	NOUN
ejpam-7120	27	1	[	[	X
ejpam-7120	27	2	5	5	NUM
ejpam-7120	27	3	,	,	PUNCT
ejpam-7120	27	4	11	11	NUM
ejpam-7120	27	5	,	,	PUNCT
ejpam-7120	27	6	40	40	NUM
ejpam-7120	27	7	]	]	PUNCT
ejpam-7120	27	8	.	.	PUNCT
ejpam-7120	28	1	the	the	DET
ejpam-7120	28	2	main	main	ADJ
ejpam-7120	28	3	contributions	contribution	NOUN
ejpam-7120	28	4	of	of	ADP
ejpam-7120	28	5	this	this	DET
ejpam-7120	28	6	paper	paper	NOUN
ejpam-7120	28	7	are	be	AUX
ejpam-7120	28	8	:	:	PUNCT
ejpam-7120	28	9	•	•	ADP
ejpam-7120	28	10	the	the	DET
ejpam-7120	28	11	definition	definition	NOUN
ejpam-7120	28	12	of	of	ADP
ejpam-7120	28	13	a	a	DET
ejpam-7120	28	14	neutrosophic	neutrosophic	ADJ
ejpam-7120	28	15	mr	mr	ADJ
ejpam-7120	28	16	-	-	PUNCT
ejpam-7120	28	17	metric	metric	ADJ
ejpam-7120	28	18	structure	structure	NOUN
ejpam-7120	28	19	on	on	ADP
ejpam-7120	28	20	statistical	statistical	ADJ
ejpam-7120	28	21	manifolds	manifold	NOUN
ejpam-7120	28	22	.	.	PUNCT
ejpam-7120	29	1	•	•	NUM
ejpam-7120	29	2	a	a	DET
ejpam-7120	29	3	proof	proof	NOUN
ejpam-7120	29	4	that	that	SCONJ
ejpam-7120	29	5	the	the	DET
ejpam-7120	29	6	triplet	triplet	NOUN
ejpam-7120	29	7	(	(	PUNCT
ejpam-7120	29	8	t	t	PROPN
ejpam-7120	29	9	,	,	PUNCT
ejpam-7120	29	10	i	i	PRON
ejpam-7120	29	11	,	,	PUNCT
ejpam-7120	29	12	f	f	X
ejpam-7120	29	13	)	)	PUNCT
ejpam-7120	29	14	satisfies	satisfy	VERB
ejpam-7120	29	15	neutrosophic	neutrosophic	ADJ
ejpam-7120	29	16	metric	metric	ADJ
ejpam-7120	29	17	axioms	axiom	NOUN
ejpam-7120	29	18	.	.	PUNCT
ejpam-7120	30	1	•	•	NUM
ejpam-7120	30	2	explicit	explicit	ADJ
ejpam-7120	30	3	links	link	NOUN
ejpam-7120	30	4	between	between	ADP
ejpam-7120	30	5	the	the	DET
ejpam-7120	30	6	contraction	contraction	NOUN
ejpam-7120	30	7	constant	constant	ADJ
ejpam-7120	30	8	r	r	NOUN
ejpam-7120	30	9	and	and	CCONJ
ejpam-7120	30	10	curvature	curvature	NOUN
ejpam-7120	30	11	.	.	PUNCT
ejpam-7120	31	1	•	•	NUM
ejpam-7120	31	2	detailed	detailed	ADJ
ejpam-7120	31	3	examples	example	NOUN
ejpam-7120	31	4	and	and	CCONJ
ejpam-7120	31	5	applications	application	NOUN
ejpam-7120	31	6	in	in	ADP
ejpam-7120	31	7	statistics	statistic	NOUN
ejpam-7120	31	8	,	,	PUNCT
ejpam-7120	31	9	machine	machine	NOUN
ejpam-7120	31	10	learning	learning	NOUN
ejpam-7120	31	11	,	,	PUNCT
ejpam-7120	31	12	and	and	CCONJ
ejpam-7120	31	13	quantum	quantum	ADJ
ejpam-7120	31	14	information	information	NOUN
ejpam-7120	31	15	.	.	PUNCT
ejpam-7120	32	1	definition	definition	NOUN
ejpam-7120	32	2	1	1	NUM
ejpam-7120	32	3	.	.	PUNCT
ejpam-7120	33	1	[	[	X
ejpam-7120	33	2	12	12	NUM
ejpam-7120	33	3	]	]	PUNCT
ejpam-7120	33	4	consider	consider	VERB
ejpam-7120	33	5	a	a	DET
ejpam-7120	33	6	non	non	ADJ
ejpam-7120	33	7	-	-	ADJ
ejpam-7120	33	8	empty	empty	ADJ
ejpam-7120	33	9	set	set	VERB
ejpam-7120	33	10	x	x	SYM
ejpam-7120	33	11	6=	6=	ADP
ejpam-7120	33	12	∅	∅	NOUN
ejpam-7120	33	13	and	and	CCONJ
ejpam-7120	33	14	a	a	DET
ejpam-7120	33	15	real	real	ADJ
ejpam-7120	33	16	number	number	NOUN
ejpam-7120	33	17	r	r	NOUN
ejpam-7120	33	18	>	>	X
ejpam-7120	33	19	1	1	NUM
ejpam-7120	33	20	.	.	PUNCT
ejpam-7120	34	1	a	a	DET
ejpam-7120	34	2	function	function	NOUN
ejpam-7120	34	3	m	m	VERB
ejpam-7120	34	4	:	:	PUNCT
ejpam-7120	34	5	x×	x×	X
ejpam-7120	34	6	x×	x×	PUNCT
ejpam-7120	34	7	x	x	PUNCT
ejpam-7120	34	8	→	→	PUNCT
ejpam-7120	34	9	[	[	X
ejpam-7120	34	10	0,∞	0,∞	NOUN
ejpam-7120	34	11	)	)	PUNCT
ejpam-7120	34	12	is	be	AUX
ejpam-7120	34	13	termed	term	VERB
ejpam-7120	34	14	an	an	DET
ejpam-7120	34	15	mr	mr	PROPN
ejpam-7120	34	16	-	-	PUNCT
ejpam-7120	34	17	metric	metric	NOUN
ejpam-7120	34	18	if	if	SCONJ
ejpam-7120	34	19	it	it	PRON
ejpam-7120	34	20	satisfies	satisfy	VERB
ejpam-7120	34	21	the	the	DET
ejpam-7120	34	22	following	follow	VERB
ejpam-7120	34	23	conditions	condition	NOUN
ejpam-7120	34	24	for	for	ADP
ejpam-7120	34	25	all	all	DET
ejpam-7120	34	26	v	v	NOUN
ejpam-7120	34	27	,	,	PUNCT
ejpam-7120	34	28	ξ	ξ	PROPN
ejpam-7120	34	29	,	,	PUNCT
ejpam-7120	34	30	s	s	PART
ejpam-7120	34	31	,	,	PUNCT
ejpam-7120	34	32	`	`	PUNCT
ejpam-7120	34	33	1	1	NUM
ejpam-7120	34	34	∈	∈	NOUN
ejpam-7120	34	35	x	x	NOUN
ejpam-7120	34	36	:	:	PUNCT
ejpam-7120	34	37	•	•	ADP
ejpam-7120	34	38	m(v	m(v	PROPN
ejpam-7120	34	39	,	,	PUNCT
ejpam-7120	34	40	ξ	ξ	PROPN
ejpam-7120	34	41	,	,	PUNCT
ejpam-7120	34	42	s	s	PART
ejpam-7120	34	43	)	)	PUNCT
ejpam-7120	34	44	≥	≥	NOUN
ejpam-7120	34	45	0	0	NUM
ejpam-7120	34	46	.	.	NOUN
ejpam-7120	35	1	•	•	NUM
ejpam-7120	35	2	m(v	m(v	PROPN
ejpam-7120	35	3	,	,	PUNCT
ejpam-7120	35	4	ξ	ξ	PROPN
ejpam-7120	35	5	,	,	PUNCT
ejpam-7120	35	6	s	s	PART
ejpam-7120	35	7	)	)	PUNCT
ejpam-7120	35	8	=	=	SYM
ejpam-7120	35	9	0	0	PUNCT
ejpam-7120	36	1	if	if	SCONJ
ejpam-7120	36	2	and	and	CCONJ
ejpam-7120	36	3	only	only	ADV
ejpam-7120	36	4	if	if	SCONJ
ejpam-7120	36	5	v	v	NOUN
ejpam-7120	36	6	=	=	SYM
ejpam-7120	36	7	ξ	ξ	PROPN
ejpam-7120	36	8	=	=	PUNCT
ejpam-7120	36	9	s.	s.	PROPN
ejpam-7120	36	10	•	•	ADP
ejpam-7120	36	11	m(v	m(v	PROPN
ejpam-7120	36	12	,	,	PUNCT
ejpam-7120	36	13	ξ	ξ	PROPN
ejpam-7120	36	14	,	,	PUNCT
ejpam-7120	36	15	s	s	PART
ejpam-7120	36	16	)	)	PUNCT
ejpam-7120	36	17	remains	remain	VERB
ejpam-7120	36	18	invariant	invariant	ADJ
ejpam-7120	36	19	under	under	ADP
ejpam-7120	36	20	any	any	DET
ejpam-7120	36	21	permutation	permutation	NOUN
ejpam-7120	36	22	p(v	p(v	NOUN
ejpam-7120	36	23	,	,	PUNCT
ejpam-7120	36	24	ξ	ξ	PROPN
ejpam-7120	36	25	,	,	PUNCT
ejpam-7120	36	26	s	s	PART
ejpam-7120	36	27	)	)	PUNCT
ejpam-7120	36	28	,	,	PUNCT
ejpam-7120	36	29	i.e.	i.e.	X
ejpam-7120	36	30	,	,	PUNCT
ejpam-7120	36	31	m(v	m(v	PROPN
ejpam-7120	36	32	,	,	PUNCT
ejpam-7120	36	33	ξ	ξ	PROPN
ejpam-7120	36	34	,	,	PUNCT
ejpam-7120	36	35	s	s	PART
ejpam-7120	36	36	)	)	PUNCT
ejpam-7120	36	37	=	=	SYM
ejpam-7120	36	38	m(p(v	m(p(v	PROPN
ejpam-7120	36	39	,	,	PUNCT
ejpam-7120	36	40	ξ	ξ	PROPN
ejpam-7120	36	41	,	,	PUNCT
ejpam-7120	36	42	s	s	NOUN
ejpam-7120	36	43	)	)	PUNCT
ejpam-7120	36	44	)	)	PUNCT
ejpam-7120	36	45	.	.	PUNCT
ejpam-7120	37	1	•	•	NUM
ejpam-7120	37	2	the	the	DET
ejpam-7120	37	3	following	follow	VERB
ejpam-7120	37	4	inequality	inequality	NOUN
ejpam-7120	37	5	holds	hold	VERB
ejpam-7120	37	6	:	:	PUNCT
ejpam-7120	37	7	m(v	m(v	NUM
ejpam-7120	37	8	,	,	PUNCT
ejpam-7120	37	9	ξ	ξ	PROPN
ejpam-7120	37	10	,	,	PUNCT
ejpam-7120	37	11	s	s	NOUN
ejpam-7120	37	12	)	)	PUNCT
ejpam-7120	37	13	≤	≤	NOUN
ejpam-7120	37	14	r	r	NOUN
ejpam-7120	38	1	[	[	X
ejpam-7120	38	2	m(v	m(v	X
ejpam-7120	38	3	,	,	PUNCT
ejpam-7120	38	4	ξ	ξ	X
ejpam-7120	38	5	,	,	PUNCT
ejpam-7120	38	6	`	`	PUNCT
ejpam-7120	38	7	1	1	X
ejpam-7120	38	8	)	)	PUNCT
ejpam-7120	38	9	+	+	ADV
ejpam-7120	38	10	m(v	m(v	NOUN
ejpam-7120	38	11	,	,	PUNCT
ejpam-7120	38	12	`	`	PUNCT
ejpam-7120	38	13	1	1	NUM
ejpam-7120	38	14	,	,	PUNCT
ejpam-7120	38	15	s	s	X
ejpam-7120	38	16	)	)	PUNCT
ejpam-7120	38	17	+	+	ADJ
ejpam-7120	38	18	m(`1	m(`1	ADJ
ejpam-7120	38	19	,	,	PUNCT
ejpam-7120	38	20	ξ	ξ	PROPN
ejpam-7120	38	21	,	,	PUNCT
ejpam-7120	38	22	s	s	PART
ejpam-7120	38	23	)	)	PUNCT
ejpam-7120	38	24	]	]	PUNCT
ejpam-7120	38	25	.	.	PUNCT
ejpam-7120	39	1	a	a	DET
ejpam-7120	39	2	structure	structure	NOUN
ejpam-7120	39	3	(	(	PUNCT
ejpam-7120	39	4	x	x	X
ejpam-7120	39	5	,	,	PUNCT
ejpam-7120	39	6	m	m	NOUN
ejpam-7120	39	7	)	)	PUNCT
ejpam-7120	39	8	that	that	PRON
ejpam-7120	39	9	adheres	adhere	VERB
ejpam-7120	39	10	to	to	ADP
ejpam-7120	39	11	these	these	DET
ejpam-7120	39	12	properties	property	NOUN
ejpam-7120	39	13	is	be	AUX
ejpam-7120	39	14	defined	define	VERB
ejpam-7120	39	15	as	as	ADP
ejpam-7120	39	16	an	an	DET
ejpam-7120	39	17	mr	mr	PROPN
ejpam-7120	39	18	-	-	PUNCT
ejpam-7120	39	19	metric	metric	ADJ
ejpam-7120	39	20	space	space	NOUN
ejpam-7120	39	21	.	.	PUNCT
ejpam-7120	40	1	a.	a.	PROPN
ejpam-7120	40	2	malkawi	malkawi	PROPN
ejpam-7120	40	3	,	,	PUNCT
ejpam-7120	40	4	a.	a.	PROPN
ejpam-7120	40	5	rabaiah	rabaiah	PROPN
ejpam-7120	40	6	/	/	SYM
ejpam-7120	40	7	eur	eur	PROPN
ejpam-7120	40	8	.	.	PUNCT
ejpam-7120	41	1	j.	j.	PROPN
ejpam-7120	41	2	pure	pure	PROPN
ejpam-7120	41	3	appl	appl	PROPN
ejpam-7120	41	4	.	.	PROPN
ejpam-7120	41	5	math	math	PROPN
ejpam-7120	41	6	,	,	PUNCT
ejpam-7120	41	7	18	18	NUM
ejpam-7120	41	8	(	(	PUNCT
ejpam-7120	41	9	4	4	NUM
ejpam-7120	41	10	)	)	PUNCT
ejpam-7120	41	11	(	(	PUNCT
ejpam-7120	41	12	2025	2025	NUM
ejpam-7120	41	13	)	)	PUNCT
ejpam-7120	41	14	,	,	PUNCT
ejpam-7120	41	15	7120	7120	NUM
ejpam-7120	41	16	3	3	NUM
ejpam-7120	41	17	of	of	ADP
ejpam-7120	41	18	16	16	NUM
ejpam-7120	41	19	definition	definition	NOUN
ejpam-7120	41	20	2	2	NUM
ejpam-7120	41	21	.	.	PUNCT
ejpam-7120	42	1	[	[	X
ejpam-7120	42	2	27][neutrosophic	27][neutrosophic	ADJ
ejpam-7120	42	3	mr	mr	ADJ
ejpam-7120	42	4	-	-	PUNCT
ejpam-7120	42	5	metric	metric	ADJ
ejpam-7120	42	6	space	space	NOUN
ejpam-7120	42	7	(	(	PUNCT
ejpam-7120	42	8	nmr	nmr	NOUN
ejpam-7120	42	9	-	-	PUNCT
ejpam-7120	42	10	ms	ms	NOUN
ejpam-7120	42	11	)	)	PUNCT
ejpam-7120	42	12	]	]	PUNCT
ejpam-7120	42	13	a	a	DET
ejpam-7120	42	14	9	9	NUM
ejpam-7120	42	15	-	-	PUNCT
ejpam-7120	42	16	tuple	tuple	NOUN
ejpam-7120	42	17	(	(	PUNCT
ejpam-7120	42	18	z	z	PROPN
ejpam-7120	42	19	,	,	PUNCT
ejpam-7120	42	20	m	m	PROPN
ejpam-7120	42	21	,	,	PUNCT
ejpam-7120	42	22	t	t	PROPN
ejpam-7120	42	23	,	,	PUNCT
ejpam-7120	42	24	f	f	PROPN
ejpam-7120	42	25	,	,	PUNCT
ejpam-7120	42	26	i	i	PRON
ejpam-7120	42	27	,	,	PUNCT
ejpam-7120	42	28	•	•	PROPN
ejpam-7120	42	29	,	,	PUNCT
ejpam-7120	42	30	�	�	PROPN
ejpam-7120	42	31	,	,	PUNCT
ejpam-7120	42	32	r	r	NOUN
ejpam-7120	42	33	,	,	PUNCT
ejpam-7120	42	34	?	?	PUNCT
ejpam-7120	42	35	)	)	PUNCT
ejpam-7120	42	36	is	be	AUX
ejpam-7120	42	37	called	call	VERB
ejpam-7120	42	38	a	a	DET
ejpam-7120	42	39	neutrosophic	neutrosophic	ADJ
ejpam-7120	42	40	mr	mr	ADJ
ejpam-7120	42	41	-	-	PUNCT
ejpam-7120	42	42	metric	metric	ADJ
ejpam-7120	42	43	space	space	NOUN
ejpam-7120	42	44	if	if	SCONJ
ejpam-7120	42	45	:	:	PUNCT
ejpam-7120	42	46	(	(	PUNCT
ejpam-7120	42	47	i	i	NOUN
ejpam-7120	42	48	)	)	PUNCT
ejpam-7120	42	49	z	z	PROPN
ejpam-7120	42	50	is	be	AUX
ejpam-7120	42	51	a	a	DET
ejpam-7120	42	52	non	non	ADJ
ejpam-7120	42	53	-	-	ADJ
ejpam-7120	42	54	empty	empty	ADJ
ejpam-7120	42	55	set	set	NOUN
ejpam-7120	42	56	.	.	PUNCT
ejpam-7120	43	1	(	(	PUNCT
ejpam-7120	43	2	ii	ii	NOUN
ejpam-7120	43	3	)	)	PUNCT
ejpam-7120	43	4	m	m	VERB
ejpam-7120	43	5	:	:	PUNCT
ejpam-7120	43	6	z	z	X
ejpam-7120	43	7	×	×	NOUN
ejpam-7120	43	8	z	z	NOUN
ejpam-7120	43	9	×z	×z	PROPN
ejpam-7120	43	10	→	→	SYM
ejpam-7120	43	11	[	[	X
ejpam-7120	43	12	0,∞	0,∞	NUM
ejpam-7120	43	13	)	)	PUNCT
ejpam-7120	43	14	is	be	AUX
ejpam-7120	43	15	an	an	DET
ejpam-7120	43	16	mr	mr	ADJ
ejpam-7120	43	17	-	-	PUNCT
ejpam-7120	43	18	metric	metric	ADJ
ejpam-7120	43	19	satisfying	satisfying	NOUN
ejpam-7120	43	20	:	:	PUNCT
ejpam-7120	43	21	(	(	PUNCT
ejpam-7120	43	22	m1	m1	NOUN
ejpam-7120	43	23	)	)	PUNCT
ejpam-7120	43	24	m(υ	m(υ	PROPN
ejpam-7120	43	25	,	,	PUNCT
ejpam-7120	43	26	ξ,=	ξ,=	PROPN
ejpam-7120	43	27	)	)	PUNCT
ejpam-7120	43	28	≥	≥	NOUN
ejpam-7120	43	29	0	0	NUM
ejpam-7120	43	30	,	,	PUNCT
ejpam-7120	43	31	(	(	PUNCT
ejpam-7120	43	32	m2	m2	PROPN
ejpam-7120	43	33	)	)	PUNCT
ejpam-7120	43	34	m(υ	m(υ	PROPN
ejpam-7120	43	35	,	,	PUNCT
ejpam-7120	43	36	ξ,=	ξ,=	PROPN
ejpam-7120	43	37	)	)	PUNCT
ejpam-7120	44	1	=	=	SYM
ejpam-7120	44	2	0	0	NUM
ejpam-7120	45	1	⇐	⇐	ADJ
ejpam-7120	45	2	⇒	⇒	NOUN
ejpam-7120	45	3	υ	υ	X
ejpam-7120	45	4	=	=	SYM
ejpam-7120	45	5	ξ	ξ	X
ejpam-7120	45	6	=	=	SYM
ejpam-7120	45	7	=	=	NOUN
ejpam-7120	45	8	,	,	PUNCT
ejpam-7120	45	9	(	(	PUNCT
ejpam-7120	45	10	m3	m3	PROPN
ejpam-7120	45	11	)	)	PUNCT
ejpam-7120	45	12	symmetry	symmetry	NOUN
ejpam-7120	45	13	under	under	ADP
ejpam-7120	45	14	permutations	permutation	NOUN
ejpam-7120	45	15	,	,	PUNCT
ejpam-7120	45	16	(	(	PUNCT
ejpam-7120	45	17	m4	m4	PROPN
ejpam-7120	45	18	)	)	PUNCT
ejpam-7120	45	19	m(υ	m(υ	PROPN
ejpam-7120	45	20	,	,	PUNCT
ejpam-7120	45	21	ξ,=	ξ,=	PROPN
ejpam-7120	45	22	)	)	PUNCT
ejpam-7120	45	23	≤	≤	NOUN
ejpam-7120	46	1	r	r	NOUN
ejpam-7120	47	1	[	[	X
ejpam-7120	47	2	m(υ	m(υ	PROPN
ejpam-7120	47	3	,	,	PUNCT
ejpam-7120	47	4	ξ	ξ	PROPN
ejpam-7120	47	5	,	,	PUNCT
ejpam-7120	47	6	`	`	PUNCT
ejpam-7120	47	7	)	)	PUNCT
ejpam-7120	47	8	?	?	PUNCT
ejpam-7120	48	1	m(υ	m(υ	PROPN
ejpam-7120	48	2	,	,	PUNCT
ejpam-7120	48	3	`	`	PUNCT
ejpam-7120	48	4	,	,	PUNCT
ejpam-7120	48	5	=)	=)	PROPN
ejpam-7120	48	6	?	?	PUNCT
ejpam-7120	49	1	m	m	VERB
ejpam-7120	50	1	(	(	PUNCT
ejpam-7120	50	2	`	`	PUNCT
ejpam-7120	50	3	,	,	PUNCT
ejpam-7120	50	4	ξ,=	ξ,=	PROPN
ejpam-7120	50	5	)	)	PUNCT
ejpam-7120	50	6	]	]	PUNCT
ejpam-7120	50	7	,	,	PUNCT
ejpam-7120	50	8	r	r	NOUN
ejpam-7120	50	9	>	>	X
ejpam-7120	50	10	1	1	NUM
ejpam-7120	50	11	.	.	PUNCT
ejpam-7120	50	12	(	(	PUNCT
ejpam-7120	50	13	iii	iii	X
ejpam-7120	50	14	)	)	PUNCT
ejpam-7120	50	15	t	t	NOUN
ejpam-7120	50	16	,	,	PUNCT
ejpam-7120	50	17	f	f	PROPN
ejpam-7120	50	18	,	,	PUNCT
ejpam-7120	50	19	i	i	PRON
ejpam-7120	50	20	:	:	PUNCT
ejpam-7120	50	21	z	z	NOUN
ejpam-7120	50	22	×	×	PROPN
ejpam-7120	50	23	z	z	NOUN
ejpam-7120	50	24	×	×	NOUN
ejpam-7120	50	25	(	(	PUNCT
ejpam-7120	50	26	0,∞	0,∞	NOUN
ejpam-7120	50	27	)	)	PUNCT
ejpam-7120	50	28	→	→	PUNCT
ejpam-7120	51	1	[	[	X
ejpam-7120	51	2	0	0	NUM
ejpam-7120	51	3	,	,	PUNCT
ejpam-7120	51	4	1	1	NUM
ejpam-7120	51	5	]	]	PUNCT
ejpam-7120	51	6	are	be	AUX
ejpam-7120	51	7	neutrosophic	neutrosophic	ADJ
ejpam-7120	51	8	functions	function	NOUN
ejpam-7120	51	9	satisfying	satisfy	VERB
ejpam-7120	51	10	:	:	PUNCT
ejpam-7120	52	1	(	(	PUNCT
ejpam-7120	52	2	n1	n1	NOUN
ejpam-7120	52	3	)	)	PUNCT
ejpam-7120	52	4	t	t	NOUN
ejpam-7120	52	5	(	(	PUNCT
ejpam-7120	52	6	υ	υ	PROPN
ejpam-7120	52	7	,	,	PUNCT
ejpam-7120	52	8	ξ	ξ	PROPN
ejpam-7120	52	9	,	,	PUNCT
ejpam-7120	52	10	γ	γ	NOUN
ejpam-7120	52	11	)	)	PUNCT
ejpam-7120	52	12	=	=	SYM
ejpam-7120	52	13	1	1	NUM
ejpam-7120	52	14	⇐	⇐	ADJ
ejpam-7120	52	15	⇒	⇒	NOUN
ejpam-7120	52	16	υ	υ	X
ejpam-7120	52	17	=	=	SYM
ejpam-7120	52	18	ξ	ξ	PROPN
ejpam-7120	52	19	(	(	PUNCT
ejpam-7120	52	20	truth	truth	NOUN
ejpam-7120	52	21	-	-	PUNCT
ejpam-7120	52	22	identity	identity	NOUN
ejpam-7120	52	23	)	)	PUNCT
ejpam-7120	52	24	,	,	PUNCT
ejpam-7120	52	25	(	(	PUNCT
ejpam-7120	52	26	n2	n2	ADJ
ejpam-7120	52	27	)	)	PUNCT
ejpam-7120	52	28	t	t	NOUN
ejpam-7120	52	29	(	(	PUNCT
ejpam-7120	52	30	υ	υ	PROPN
ejpam-7120	52	31	,	,	PUNCT
ejpam-7120	52	32	ξ	ξ	PROPN
ejpam-7120	52	33	,	,	PUNCT
ejpam-7120	52	34	γ	γ	NOUN
ejpam-7120	52	35	)	)	PUNCT
ejpam-7120	52	36	=	=	SYM
ejpam-7120	52	37	t	t	PROPN
ejpam-7120	52	38	(	(	PUNCT
ejpam-7120	52	39	ξ	ξ	PROPN
ejpam-7120	52	40	,	,	PUNCT
ejpam-7120	52	41	υ	υ	PROPN
ejpam-7120	52	42	,	,	PUNCT
ejpam-7120	52	43	γ	γ	NOUN
ejpam-7120	52	44	)	)	PUNCT
ejpam-7120	52	45	(	(	PUNCT
ejpam-7120	52	46	symmetry	symmetry	NOUN
ejpam-7120	52	47	)	)	PUNCT
ejpam-7120	52	48	,	,	PUNCT
ejpam-7120	52	49	(	(	PUNCT
ejpam-7120	52	50	n3	n3	PROPN
ejpam-7120	52	51	)	)	PUNCT
ejpam-7120	52	52	t	t	PROPN
ejpam-7120	52	53	(	(	PUNCT
ejpam-7120	52	54	υ	υ	PROPN
ejpam-7120	52	55	,	,	PUNCT
ejpam-7120	52	56	ξ	ξ	PROPN
ejpam-7120	52	57	,	,	PUNCT
ejpam-7120	52	58	γ	γ	NOUN
ejpam-7120	52	59	)	)	PUNCT
ejpam-7120	52	60	•	•	NUM
ejpam-7120	52	61	t	t	PROPN
ejpam-7120	52	62	(	(	PUNCT
ejpam-7120	52	63	ξ,=	ξ,=	PROPN
ejpam-7120	52	64	,	,	PUNCT
ejpam-7120	52	65	ρ	ρ	PROPN
ejpam-7120	52	66	)	)	PUNCT
ejpam-7120	52	67	≤	≤	NOUN
ejpam-7120	52	68	t	t	NOUN
ejpam-7120	52	69	(	(	PUNCT
ejpam-7120	52	70	υ,=	υ,=	PROPN
ejpam-7120	52	71	,	,	PUNCT
ejpam-7120	52	72	γ	γ	PROPN
ejpam-7120	52	73	+	+	PROPN
ejpam-7120	52	74	ρ	ρ	PROPN
ejpam-7120	52	75	)	)	PUNCT
ejpam-7120	52	76	(	(	PUNCT
ejpam-7120	52	77	triangle	triangle	NOUN
ejpam-7120	52	78	inequality	inequality	NOUN
ejpam-7120	52	79	)	)	PUNCT
ejpam-7120	52	80	,	,	PUNCT
ejpam-7120	52	81	(	(	PUNCT
ejpam-7120	53	1	n4	n4	PROPN
ejpam-7120	53	2	)	)	PUNCT
ejpam-7120	53	3	limγ→∞	limγ→∞	PROPN
ejpam-7120	53	4	t	t	NOUN
ejpam-7120	53	5	(	(	PUNCT
ejpam-7120	53	6	υ	υ	PROPN
ejpam-7120	53	7	,	,	PUNCT
ejpam-7120	53	8	ξ	ξ	PROPN
ejpam-7120	53	9	,	,	PUNCT
ejpam-7120	53	10	γ	γ	NOUN
ejpam-7120	53	11	)	)	PUNCT
ejpam-7120	53	12	=	=	SYM
ejpam-7120	53	13	1	1	NUM
ejpam-7120	53	14	(	(	PUNCT
ejpam-7120	53	15	asymptotic	asymptotic	ADJ
ejpam-7120	53	16	behavior	behavior	NOUN
ejpam-7120	53	17	)	)	PUNCT
ejpam-7120	53	18	.	.	PUNCT
ejpam-7120	54	1	(	(	PUNCT
ejpam-7120	54	2	iv	iv	X
ejpam-7120	54	3	)	)	PUNCT
ejpam-7120	54	4	•	•	NOUN
ejpam-7120	54	5	(	(	PUNCT
ejpam-7120	54	6	t	t	NOUN
ejpam-7120	54	7	-	-	PUNCT
ejpam-7120	54	8	norm	norm	NOUN
ejpam-7120	54	9	)	)	PUNCT
ejpam-7120	54	10	and	and	CCONJ
ejpam-7120	54	11	�	�	PROPN
ejpam-7120	54	12	(	(	PUNCT
ejpam-7120	54	13	t	t	NOUN
ejpam-7120	54	14	-	-	PUNCT
ejpam-7120	54	15	conorm	conorm	NOUN
ejpam-7120	54	16	)	)	PUNCT
ejpam-7120	54	17	are	be	AUX
ejpam-7120	54	18	continuous	continuous	ADJ
ejpam-7120	54	19	operators	operator	NOUN
ejpam-7120	54	20	generalizing	generalize	VERB
ejpam-7120	54	21	fuzzy	fuzzy	ADJ
ejpam-7120	54	22	logic	logic	NOUN
ejpam-7120	54	23	.	.	PUNCT
ejpam-7120	55	1	(	(	PUNCT
ejpam-7120	55	2	v	v	NOUN
ejpam-7120	55	3	)	)	PUNCT
ejpam-7120	55	4	?	?	PUNCT
ejpam-7120	56	1	is	be	AUX
ejpam-7120	56	2	a	a	DET
ejpam-7120	56	3	binary	binary	ADJ
ejpam-7120	56	4	operation	operation	NOUN
ejpam-7120	56	5	generalizing	generalize	VERB
ejpam-7120	56	6	addition	addition	NOUN
ejpam-7120	56	7	(	(	PUNCT
ejpam-7120	56	8	e.g.	e.g.	ADV
ejpam-7120	56	9	,	,	PUNCT
ejpam-7120	56	10	weighted	weight	VERB
ejpam-7120	56	11	sum	sum	NOUN
ejpam-7120	56	12	)	)	PUNCT
ejpam-7120	56	13	.	.	PUNCT
ejpam-7120	57	1	2	2	X
ejpam-7120	57	2	.	.	X
ejpam-7120	57	3	main	main	ADJ
ejpam-7120	57	4	results	result	NOUN
ejpam-7120	57	5	this	this	DET
ejpam-7120	57	6	section	section	NOUN
ejpam-7120	57	7	presents	present	VERB
ejpam-7120	57	8	the	the	DET
ejpam-7120	57	9	core	core	NOUN
ejpam-7120	57	10	theoretical	theoretical	ADJ
ejpam-7120	57	11	contributions	contribution	NOUN
ejpam-7120	57	12	of	of	ADP
ejpam-7120	57	13	this	this	DET
ejpam-7120	57	14	work	work	NOUN
ejpam-7120	57	15	.	.	PUNCT
ejpam-7120	58	1	we	we	PRON
ejpam-7120	58	2	begin	begin	VERB
ejpam-7120	58	3	by	by	ADP
ejpam-7120	58	4	introducing	introduce	VERB
ejpam-7120	58	5	the	the	DET
ejpam-7120	58	6	neutrosophic	neutrosophic	ADJ
ejpam-7120	58	7	statistical	statistical	ADJ
ejpam-7120	58	8	structure	structure	NOUN
ejpam-7120	58	9	defined	define	VERB
ejpam-7120	58	10	on	on	ADP
ejpam-7120	58	11	smooth	smooth	ADJ
ejpam-7120	58	12	manifolds	manifold	NOUN
ejpam-7120	58	13	of	of	ADP
ejpam-7120	58	14	probability	probability	NOUN
ejpam-7120	58	15	distributions	distribution	NOUN
ejpam-7120	58	16	.	.	PUNCT
ejpam-7120	59	1	this	this	DET
ejpam-7120	59	2	framework	framework	NOUN
ejpam-7120	59	3	integrates	integrate	VERB
ejpam-7120	59	4	an	an	DET
ejpam-7120	59	5	mr	mr	PROPN
ejpam-7120	59	6	-	-	PUNCT
ejpam-7120	59	7	metric	metric	NOUN
ejpam-7120	59	8	constructed	construct	VERB
ejpam-7120	59	9	from	from	ADP
ejpam-7120	59	10	the	the	DET
ejpam-7120	59	11	jensen	jensen	PROPN
ejpam-7120	59	12	–	–	PUNCT
ejpam-7120	59	13	shannon	shannon	PROPN
ejpam-7120	59	14	divergence	divergence	NOUN
ejpam-7120	59	15	with	with	ADP
ejpam-7120	59	16	neutrosophic	neutrosophic	ADJ
ejpam-7120	59	17	membership	membership	NOUN
ejpam-7120	59	18	functions	function	NOUN
ejpam-7120	59	19	designed	design	VERB
ejpam-7120	59	20	to	to	PART
ejpam-7120	59	21	quantify	quantify	VERB
ejpam-7120	59	22	truth	truth	NOUN
ejpam-7120	59	23	,	,	PUNCT
ejpam-7120	59	24	indeterminacy	indeterminacy	NOUN
ejpam-7120	59	25	,	,	PUNCT
ejpam-7120	59	26	and	and	CCONJ
ejpam-7120	59	27	falsity	falsity	NOUN
ejpam-7120	59	28	.	.	PUNCT
ejpam-7120	60	1	we	we	PRON
ejpam-7120	60	2	subsequently	subsequently	ADV
ejpam-7120	60	3	establish	establish	VERB
ejpam-7120	60	4	the	the	DET
ejpam-7120	60	5	mathematical	mathematical	ADJ
ejpam-7120	60	6	consistency	consistency	NOUN
ejpam-7120	60	7	of	of	ADP
ejpam-7120	60	8	this	this	DET
ejpam-7120	60	9	structure	structure	NOUN
ejpam-7120	60	10	and	and	CCONJ
ejpam-7120	60	11	investigate	investigate	VERB
ejpam-7120	60	12	its	its	PRON
ejpam-7120	60	13	geometric	geometric	ADJ
ejpam-7120	60	14	characteristics	characteristic	NOUN
ejpam-7120	60	15	,	,	PUNCT
ejpam-7120	60	16	particularly	particularly	ADV
ejpam-7120	60	17	its	its	PRON
ejpam-7120	60	18	connections	connection	NOUN
ejpam-7120	60	19	to	to	ADP
ejpam-7120	60	20	the	the	DET
ejpam-7120	60	21	fisher	fisher	NOUN
ejpam-7120	60	22	–	–	PUNCT
ejpam-7120	60	23	rao	rao	NOUN
ejpam-7120	60	24	metric	metric	NOUN
ejpam-7120	60	25	and	and	CCONJ
ejpam-7120	60	26	the	the	DET
ejpam-7120	60	27	α	α	NOUN
ejpam-7120	60	28	-	-	PUNCT
ejpam-7120	60	29	connections	connection	NOUN
ejpam-7120	60	30	in	in	ADP
ejpam-7120	60	31	information	information	NOUN
ejpam-7120	60	32	geometry	geometry	NOUN
ejpam-7120	60	33	.	.	PUNCT
ejpam-7120	61	1	theorems	theorem	NOUN
ejpam-7120	61	2	and	and	CCONJ
ejpam-7120	61	3	lemmas	lemma	NOUN
ejpam-7120	61	4	are	be	AUX
ejpam-7120	61	5	formulated	formulate	VERB
ejpam-7120	61	6	to	to	PART
ejpam-7120	61	7	rigorously	rigorously	ADV
ejpam-7120	61	8	characterize	characterize	VERB
ejpam-7120	61	9	these	these	DET
ejpam-7120	61	10	relationships	relationship	NOUN
ejpam-7120	61	11	,	,	PUNCT
ejpam-7120	61	12	accompanied	accompany	VERB
ejpam-7120	61	13	by	by	ADP
ejpam-7120	61	14	proofs	proof	NOUN
ejpam-7120	61	15	that	that	PRON
ejpam-7120	61	16	validate	validate	VERB
ejpam-7120	61	17	the	the	DET
ejpam-7120	61	18	fulfillment	fulfillment	NOUN
ejpam-7120	61	19	of	of	ADP
ejpam-7120	61	20	all	all	DET
ejpam-7120	61	21	neutrosophic	neutrosophic	ADJ
ejpam-7120	61	22	metric	metric	ADJ
ejpam-7120	61	23	axioms	axiom	NOUN
ejpam-7120	61	24	.	.	PUNCT
ejpam-7120	62	1	definition	definition	NOUN
ejpam-7120	62	2	3	3	NUM
ejpam-7120	62	3	(	(	PUNCT
ejpam-7120	62	4	statistical	statistical	ADJ
ejpam-7120	62	5	manifold	manifold	NOUN
ejpam-7120	62	6	with	with	ADP
ejpam-7120	62	7	neutrosophic	neutrosophic	ADJ
ejpam-7120	62	8	structure	structure	NOUN
ejpam-7120	62	9	)	)	PUNCT
ejpam-7120	62	10	.	.	PUNCT
ejpam-7120	63	1	let	let	VERB
ejpam-7120	63	2	p	p	PRON
ejpam-7120	63	3	be	be	AUX
ejpam-7120	63	4	a	a	DET
ejpam-7120	63	5	smooth	smooth	ADJ
ejpam-7120	63	6	manifold	manifold	NOUN
ejpam-7120	63	7	of	of	ADP
ejpam-7120	63	8	probability	probability	NOUN
ejpam-7120	63	9	distributions	distribution	NOUN
ejpam-7120	63	10	p	p	X
ejpam-7120	63	11	(	(	PUNCT
ejpam-7120	63	12	·	·	PUNCT
ejpam-7120	63	13	;	;	PUNCT
ejpam-7120	63	14	θ	θ	X
ejpam-7120	63	15	)	)	PUNCT
ejpam-7120	63	16	parameterized	parameterized	ADJ
ejpam-7120	63	17	by	by	ADP
ejpam-7120	63	18	θ	θ	PROPN
ejpam-7120	63	19	=	=	SYM
ejpam-7120	63	20	(	(	PUNCT
ejpam-7120	63	21	θ1	θ1	NOUN
ejpam-7120	63	22	,	,	PUNCT
ejpam-7120	63	23	.	.	PUNCT
ejpam-7120	63	24	.	.	PUNCT
ejpam-7120	64	1	.	.	PUNCT
ejpam-7120	65	1	,	,	PUNCT
ejpam-7120	65	2	θn	θn	NOUN
ejpam-7120	65	3	)	)	PUNCT
ejpam-7120	65	4	∈	∈	PROPN
ejpam-7120	65	5	θ	θ	PROPN
ejpam-7120	65	6	⊆	⊆	NUM
ejpam-7120	65	7	rn	rn	PROPN
ejpam-7120	65	8	.	.	PUNCT
ejpam-7120	66	1	a	a	DET
ejpam-7120	66	2	neutrosophic	neutrosophic	ADJ
ejpam-7120	66	3	statistical	statistical	ADJ
ejpam-7120	66	4	structure	structure	NOUN
ejpam-7120	66	5	on	on	ADP
ejpam-7120	66	6	p	p	PROPN
ejpam-7120	66	7	is	be	AUX
ejpam-7120	66	8	given	give	VERB
ejpam-7120	66	9	by	by	ADP
ejpam-7120	66	10	:	:	PUNCT
ejpam-7120	66	11	(	(	PUNCT
ejpam-7120	66	12	i	i	NOUN
ejpam-7120	66	13	)	)	PUNCT
ejpam-7120	66	14	neutrosophic	neutrosophic	PROPN
ejpam-7120	66	15	mr	mr	PROPN
ejpam-7120	66	16	-	-	PUNCT
ejpam-7120	66	17	metric	metric	NOUN
ejpam-7120	66	18	:	:	PUNCT
ejpam-7120	66	19	for	for	ADP
ejpam-7120	66	20	p	p	X
ejpam-7120	66	21	,	,	PUNCT
ejpam-7120	66	22	q	q	ADJ
ejpam-7120	66	23	,	,	PUNCT
ejpam-7120	66	24	r	r	NOUN
ejpam-7120	66	25	∈	∈	PROPN
ejpam-7120	66	26	p	p	NOUN
ejpam-7120	66	27	,	,	PUNCT
ejpam-7120	66	28	define	define	NOUN
ejpam-7120	66	29	:	:	PUNCT
ejpam-7120	66	30	m(p	m(p	ADJ
ejpam-7120	66	31	,	,	PUNCT
ejpam-7120	66	32	q	q	NOUN
ejpam-7120	66	33	,	,	PUNCT
ejpam-7120	66	34	r	r	NOUN
ejpam-7120	66	35	)	)	PUNCT
ejpam-7120	66	36	=	=	SYM
ejpam-7120	66	37	djs(p‖q	djs(p‖q	NOUN
ejpam-7120	66	38	)	)	PUNCT
ejpam-7120	67	1	+	+	NOUN
ejpam-7120	67	2	djs(q‖r	djs(q‖r	NOUN
ejpam-7120	67	3	)	)	PUNCT
ejpam-7120	67	4	+	+	NOUN
ejpam-7120	67	5	djs(r‖p	djs(r‖p	X
ejpam-7120	67	6	)	)	PUNCT
ejpam-7120	67	7	where	where	SCONJ
ejpam-7120	67	8	djs	djs	NOUN
ejpam-7120	67	9	is	be	AUX
ejpam-7120	67	10	the	the	DET
ejpam-7120	67	11	jensen	jensen	PROPN
ejpam-7120	67	12	-	-	PUNCT
ejpam-7120	67	13	shannon	shannon	PROPN
ejpam-7120	67	14	divergence	divergence	PROPN
ejpam-7120	67	15	:	:	PUNCT
ejpam-7120	67	16	djs(p‖q	djs(p‖q	NOUN
ejpam-7120	67	17	)	)	PUNCT
ejpam-7120	67	18	=	=	SYM
ejpam-7120	67	19	1	1	NUM
ejpam-7120	67	20	2	2	NUM
ejpam-7120	67	21	dkl	dkl	X
ejpam-7120	67	22	(	(	PUNCT
ejpam-7120	67	23	p	p	NOUN
ejpam-7120	67	24	∥∥∥∥p+	∥∥∥∥p+	PROPN
ejpam-7120	67	25	q	q	PROPN
ejpam-7120	67	26	2	2	X
ejpam-7120	67	27	)	)	PUNCT
ejpam-7120	67	28	+	+	CCONJ
ejpam-7120	67	29	1	1	NUM
ejpam-7120	67	30	2	2	NUM
ejpam-7120	67	31	dkl	dkl	X
ejpam-7120	67	32	(	(	PUNCT
ejpam-7120	67	33	q	q	NOUN
ejpam-7120	67	34	∥∥∥∥p+	∥∥∥∥p+	PROPN
ejpam-7120	67	35	q	q	PROPN
ejpam-7120	67	36	2	2	X
ejpam-7120	67	37	)	)	PUNCT
ejpam-7120	67	38	a.	a.	NOUN
ejpam-7120	67	39	malkawi	malkawi	PROPN
ejpam-7120	67	40	,	,	PUNCT
ejpam-7120	67	41	a.	a.	PROPN
ejpam-7120	67	42	rabaiah	rabaiah	PROPN
ejpam-7120	67	43	/	/	SYM
ejpam-7120	67	44	eur	eur	PROPN
ejpam-7120	67	45	.	.	PUNCT
ejpam-7120	68	1	j.	j.	PROPN
ejpam-7120	68	2	pure	pure	PROPN
ejpam-7120	68	3	appl	appl	PROPN
ejpam-7120	68	4	.	.	PROPN
ejpam-7120	68	5	math	math	PROPN
ejpam-7120	68	6	,	,	PUNCT
ejpam-7120	68	7	18	18	NUM
ejpam-7120	68	8	(	(	PUNCT
ejpam-7120	68	9	4	4	NUM
ejpam-7120	68	10	)	)	PUNCT
ejpam-7120	68	11	(	(	PUNCT
ejpam-7120	68	12	2025	2025	NUM
ejpam-7120	68	13	)	)	PUNCT
ejpam-7120	68	14	,	,	PUNCT
ejpam-7120	68	15	7120	7120	NUM
ejpam-7120	68	16	4	4	NUM
ejpam-7120	68	17	of	of	ADP
ejpam-7120	68	18	16	16	NUM
ejpam-7120	68	19	(	(	PUNCT
ejpam-7120	68	20	ii	ii	NOUN
ejpam-7120	68	21	)	)	PUNCT
ejpam-7120	68	22	neutrosophic	neutrosophic	ADJ
ejpam-7120	68	23	membership	membership	NOUN
ejpam-7120	68	24	functions	function	NOUN
ejpam-7120	68	25	:	:	PUNCT
ejpam-7120	69	1	t	t	X
ejpam-7120	69	2	(	(	PUNCT
ejpam-7120	69	3	p	p	X
ejpam-7120	69	4	,	,	PUNCT
ejpam-7120	69	5	q	q	ADJ
ejpam-7120	69	6	,	,	PUNCT
ejpam-7120	69	7	γ	γ	NOUN
ejpam-7120	69	8	)	)	PUNCT
ejpam-7120	69	9	=	=	NOUN
ejpam-7120	69	10	exp	exp	NOUN
ejpam-7120	69	11	(	(	PUNCT
ejpam-7120	69	12	−γ	−γ	NOUN
ejpam-7120	69	13	·	·	PUNCT
ejpam-7120	69	14	jsd(p‖q	jsd(p‖q	NUM
ejpam-7120	69	15	)	)	PUNCT
ejpam-7120	69	16	)	)	PUNCT
ejpam-7120	69	17	i(p	i(p	NOUN
ejpam-7120	69	18	,	,	PUNCT
ejpam-7120	69	19	q	q	NOUN
ejpam-7120	69	20	,	,	PUNCT
ejpam-7120	69	21	γ	γ	NOUN
ejpam-7120	69	22	)	)	PUNCT
ejpam-7120	69	23	=	=	SYM
ejpam-7120	69	24	1−	1−	NUM
ejpam-7120	69	25	∣∣∣∣h(p)−h(q	∣∣∣∣h(p)−h(q	NOUN
ejpam-7120	69	26	)	)	PUNCT
ejpam-7120	69	27	maxr∈p	maxr∈p	PROPN
ejpam-7120	69	28	h(r	h(r	NOUN
ejpam-7120	69	29	)	)	PUNCT
ejpam-7120	69	30	∣∣∣∣	∣∣∣∣	PROPN
ejpam-7120	69	31	·	·	PUNCT
ejpam-7120	69	32	exp	exp	NOUN
ejpam-7120	69	33	(	(	PUNCT
ejpam-7120	69	34	−γ	−γ	NOUN
ejpam-7120	69	35	·	·	PUNCT
ejpam-7120	69	36	|dkl(p‖u)−dkl(q‖u)|	|dkl(p‖u)−dkl(q‖u)|	NOUN
ejpam-7120	69	37	)	)	PUNCT
ejpam-7120	69	38	f(p	f(p	PROPN
ejpam-7120	69	39	,	,	PUNCT
ejpam-7120	69	40	q	q	X
ejpam-7120	69	41	,	,	PUNCT
ejpam-7120	69	42	γ	γ	NOUN
ejpam-7120	69	43	)	)	PUNCT
ejpam-7120	69	44	=	=	SYM
ejpam-7120	69	45	1−	1−	NUM
ejpam-7120	69	46	t	t	NOUN
ejpam-7120	69	47	(	(	PUNCT
ejpam-7120	69	48	p	p	X
ejpam-7120	69	49	,	,	PUNCT
ejpam-7120	69	50	q	q	X
ejpam-7120	69	51	,	,	PUNCT
ejpam-7120	69	52	γ)−	γ)−	ADJ
ejpam-7120	69	53	i(p	i(p	NOUN
ejpam-7120	69	54	,	,	PUNCT
ejpam-7120	69	55	q	q	NOUN
ejpam-7120	69	56	,	,	PUNCT
ejpam-7120	69	57	γ	γ	NOUN
ejpam-7120	69	58	)	)	PUNCT
ejpam-7120	69	59	where	where	SCONJ
ejpam-7120	69	60	h(p	h(p	NOUN
ejpam-7120	69	61	)	)	PUNCT
ejpam-7120	69	62	is	be	AUX
ejpam-7120	69	63	the	the	DET
ejpam-7120	69	64	shannon	shannon	PROPN
ejpam-7120	69	65	entropy	entropy	PROPN
ejpam-7120	69	66	,	,	PUNCT
ejpam-7120	69	67	u	u	NOUN
ejpam-7120	69	68	is	be	AUX
ejpam-7120	69	69	the	the	DET
ejpam-7120	69	70	uniform	uniform	ADJ
ejpam-7120	69	71	distribution	distribution	NOUN
ejpam-7120	69	72	,	,	PUNCT
ejpam-7120	69	73	and	and	CCONJ
ejpam-7120	69	74	jsd	jsd	PROPN
ejpam-7120	69	75	is	be	AUX
ejpam-7120	69	76	the	the	DET
ejpam-7120	69	77	normalized	normalize	VERB
ejpam-7120	69	78	jensen	jensen	PROPN
ejpam-7120	69	79	-	-	PUNCT
ejpam-7120	69	80	shannon	shannon	PROPN
ejpam-7120	69	81	divergence	divergence	NOUN
ejpam-7120	69	82	.	.	PUNCT
ejpam-7120	70	1	(	(	PUNCT
ejpam-7120	70	2	iii	iii	X
ejpam-7120	70	3	)	)	PUNCT
ejpam-7120	70	4	operations	operation	NOUN
ejpam-7120	70	5	:	:	PUNCT
ejpam-7120	70	6	the	the	DET
ejpam-7120	70	7	t	t	NOUN
ejpam-7120	70	8	-	-	PUNCT
ejpam-7120	70	9	norm	norm	NOUN
ejpam-7120	70	10	•	•	NOUN
ejpam-7120	70	11	is	be	AUX
ejpam-7120	70	12	the	the	DET
ejpam-7120	70	13	product	product	NOUN
ejpam-7120	70	14	t	t	NOUN
ejpam-7120	70	15	-	-	PUNCT
ejpam-7120	70	16	norm	norm	NOUN
ejpam-7120	70	17	a	a	DET
ejpam-7120	70	18	•	•	NOUN
ejpam-7120	70	19	b	b	NOUN
ejpam-7120	70	20	=	=	SYM
ejpam-7120	70	21	ab	ab	PROPN
ejpam-7120	70	22	,	,	PUNCT
ejpam-7120	70	23	and	and	CCONJ
ejpam-7120	70	24	?	?	PUNCT
ejpam-7120	71	1	is	be	AUX
ejpam-7120	71	2	the	the	DET
ejpam-7120	71	3	standard	standard	ADJ
ejpam-7120	71	4	addition	addition	NOUN
ejpam-7120	71	5	.	.	PUNCT
ejpam-7120	72	1	theorem	theorem	ADJ
ejpam-7120	72	2	1	1	NUM
ejpam-7120	72	3	(	(	PUNCT
ejpam-7120	72	4	well	well	ADV
ejpam-7120	72	5	-	-	PUNCT
ejpam-7120	72	6	defined	define	VERB
ejpam-7120	72	7	neutrosophic	neutrosophic	ADJ
ejpam-7120	72	8	structure	structure	NOUN
ejpam-7120	72	9	)	)	PUNCT
ejpam-7120	72	10	.	.	PUNCT
ejpam-7120	73	1	the	the	DET
ejpam-7120	73	2	triplet	triplet	NOUN
ejpam-7120	73	3	(	(	PUNCT
ejpam-7120	73	4	t	t	PROPN
ejpam-7120	73	5	,	,	PUNCT
ejpam-7120	73	6	i	i	PRON
ejpam-7120	73	7	,	,	PUNCT
ejpam-7120	73	8	f	f	X
ejpam-7120	73	9	)	)	PUNCT
ejpam-7120	73	10	defines	define	VERB
ejpam-7120	73	11	a	a	DET
ejpam-7120	73	12	valid	valid	ADJ
ejpam-7120	73	13	neutrosophic	neutrosophic	ADJ
ejpam-7120	73	14	structure	structure	NOUN
ejpam-7120	73	15	on	on	ADP
ejpam-7120	73	16	the	the	DET
ejpam-7120	73	17	statistical	statistical	ADJ
ejpam-7120	73	18	manifold	manifold	NOUN
ejpam-7120	73	19	p	p	NOUN
ejpam-7120	73	20	,	,	PUNCT
ejpam-7120	73	21	satisfying	satisfy	VERB
ejpam-7120	73	22	all	all	DET
ejpam-7120	73	23	axioms	axiom	NOUN
ejpam-7120	73	24	of	of	ADP
ejpam-7120	73	25	a	a	DET
ejpam-7120	73	26	neutrosophic	neutrosophic	ADJ
ejpam-7120	73	27	mr	mr	ADJ
ejpam-7120	73	28	-	-	PUNCT
ejpam-7120	73	29	metric	metric	ADJ
ejpam-7120	73	30	space	space	NOUN
ejpam-7120	73	31	.	.	PUNCT
ejpam-7120	74	1	proof	proof	NOUN
ejpam-7120	74	2	.	.	PUNCT
ejpam-7120	75	1	we	we	PRON
ejpam-7120	75	2	prove	prove	VERB
ejpam-7120	75	3	each	each	DET
ejpam-7120	75	4	axiom	axiom	NOUN
ejpam-7120	75	5	systematically	systematically	ADV
ejpam-7120	75	6	:	:	PUNCT
ejpam-7120	75	7	part	part	NOUN
ejpam-7120	75	8	1	1	NUM
ejpam-7120	75	9	:	:	PUNCT
ejpam-7120	75	10	neutrosophic	neutrosophic	ADJ
ejpam-7120	75	11	axioms	axioms	ADJ
ejpam-7120	75	12	verification	verification	NOUN
ejpam-7120	75	13	(	(	PUNCT
ejpam-7120	75	14	i	i	NOUN
ejpam-7120	75	15	)	)	PUNCT
ejpam-7120	75	16	truth	truth	NOUN
ejpam-7120	75	17	-	-	PUNCT
ejpam-7120	75	18	identity	identity	NOUN
ejpam-7120	75	19	:	:	PUNCT
ejpam-7120	75	20	t	t	PROPN
ejpam-7120	75	21	(	(	PUNCT
ejpam-7120	75	22	p	p	X
ejpam-7120	75	23	,	,	PUNCT
ejpam-7120	75	24	q	q	ADJ
ejpam-7120	75	25	,	,	PUNCT
ejpam-7120	75	26	γ	γ	NOUN
ejpam-7120	75	27	)	)	PUNCT
ejpam-7120	75	28	=	=	SYM
ejpam-7120	75	29	1	1	NUM
ejpam-7120	75	30	⇐	⇐	ADJ
ejpam-7120	75	31	⇒	⇒	NOUN
ejpam-7120	75	32	p	p	X
ejpam-7120	75	33	=	=	X
ejpam-7120	75	34	q	q	PROPN
ejpam-7120	75	35	t	t	PROPN
ejpam-7120	75	36	(	(	PUNCT
ejpam-7120	75	37	p	p	X
ejpam-7120	75	38	,	,	PUNCT
ejpam-7120	75	39	q	q	ADJ
ejpam-7120	75	40	,	,	PUNCT
ejpam-7120	75	41	γ	γ	NOUN
ejpam-7120	75	42	)	)	PUNCT
ejpam-7120	75	43	=	=	SYM
ejpam-7120	75	44	1	1	NUM
ejpam-7120	75	45	⇐	⇐	ADJ
ejpam-7120	75	46	⇒	⇒	NOUN
ejpam-7120	75	47	exp	exp	NOUN
ejpam-7120	75	48	(	(	PUNCT
ejpam-7120	75	49	−γ	−γ	NOUN
ejpam-7120	75	50	·	·	PUNCT
ejpam-7120	75	51	jsd(p‖q	jsd(p‖q	NUM
ejpam-7120	75	52	)	)	PUNCT
ejpam-7120	75	53	)	)	PUNCT
ejpam-7120	76	1	=	=	SYM
ejpam-7120	76	2	1	1	NUM
ejpam-7120	76	3	⇐	⇐	ADJ
ejpam-7120	76	4	⇒	⇒	PROPN
ejpam-7120	76	5	jsd(p‖q	jsd(p‖q	PROPN
ejpam-7120	76	6	)	)	PUNCT
ejpam-7120	77	1	=	=	SYM
ejpam-7120	77	2	0	0	NUM
ejpam-7120	78	1	⇐	⇐	ADJ
ejpam-7120	78	2	⇒	⇒	NOUN
ejpam-7120	78	3	p	p	X
ejpam-7120	78	4	=	=	NOUN
ejpam-7120	78	5	q	q	X
ejpam-7120	78	6	(	(	PUNCT
ejpam-7120	78	7	since	since	SCONJ
ejpam-7120	78	8	jsd	jsd	PROPN
ejpam-7120	78	9	is	be	AUX
ejpam-7120	78	10	a	a	DET
ejpam-7120	78	11	metric	metric	NOUN
ejpam-7120	78	12	)	)	PUNCT
ejpam-7120	78	13	(	(	PUNCT
ejpam-7120	78	14	ii	ii	NOUN
ejpam-7120	78	15	)	)	PUNCT
ejpam-7120	78	16	symmetry	symmetry	NOUN
ejpam-7120	78	17	:	:	PUNCT
ejpam-7120	78	18	t	t	PROPN
ejpam-7120	78	19	(	(	PUNCT
ejpam-7120	78	20	p	p	X
ejpam-7120	78	21	,	,	PUNCT
ejpam-7120	78	22	q	q	ADJ
ejpam-7120	78	23	,	,	PUNCT
ejpam-7120	78	24	γ	γ	NOUN
ejpam-7120	78	25	)	)	PUNCT
ejpam-7120	78	26	=	=	SYM
ejpam-7120	78	27	t	t	PROPN
ejpam-7120	78	28	(	(	PUNCT
ejpam-7120	78	29	q	q	X
ejpam-7120	78	30	,	,	PUNCT
ejpam-7120	78	31	p	p	X
ejpam-7120	78	32	,	,	PUNCT
ejpam-7120	78	33	γ	γ	PROPN
ejpam-7120	78	34	)	)	PUNCT
ejpam-7120	78	35	t	t	NOUN
ejpam-7120	78	36	(	(	PUNCT
ejpam-7120	78	37	p	p	X
ejpam-7120	78	38	,	,	PUNCT
ejpam-7120	78	39	q	q	ADJ
ejpam-7120	78	40	,	,	PUNCT
ejpam-7120	78	41	γ	γ	NOUN
ejpam-7120	78	42	)	)	PUNCT
ejpam-7120	78	43	=	=	NOUN
ejpam-7120	78	44	exp	exp	NOUN
ejpam-7120	78	45	(	(	PUNCT
ejpam-7120	78	46	−γ	−γ	NOUN
ejpam-7120	78	47	·	·	PUNCT
ejpam-7120	78	48	jsd(p‖q	jsd(p‖q	NUM
ejpam-7120	78	49	)	)	PUNCT
ejpam-7120	78	50	)	)	PUNCT
ejpam-7120	79	1	=	=	NOUN
ejpam-7120	79	2	exp	exp	NOUN
ejpam-7120	79	3	(	(	PUNCT
ejpam-7120	79	4	−γ	−γ	NOUN
ejpam-7120	79	5	·	·	PUNCT
ejpam-7120	79	6	jsd(q‖p	jsd(q‖p	NUM
ejpam-7120	79	7	)	)	PUNCT
ejpam-7120	79	8	)	)	PUNCT
ejpam-7120	80	1	=	=	SYM
ejpam-7120	80	2	t	t	PROPN
ejpam-7120	80	3	(	(	PUNCT
ejpam-7120	80	4	q	q	X
ejpam-7120	80	5	,	,	PUNCT
ejpam-7120	80	6	p	p	X
ejpam-7120	80	7	,	,	PUNCT
ejpam-7120	80	8	γ	γ	NOUN
ejpam-7120	80	9	)	)	PUNCT
ejpam-7120	80	10	since	since	SCONJ
ejpam-7120	80	11	jsd	jsd	PROPN
ejpam-7120	80	12	is	be	AUX
ejpam-7120	80	13	symmetric	symmetric	ADJ
ejpam-7120	80	14	.	.	PUNCT
ejpam-7120	81	1	(	(	PUNCT
ejpam-7120	81	2	iii	iii	NOUN
ejpam-7120	81	3	)	)	PUNCT
ejpam-7120	81	4	triangle	triangle	NOUN
ejpam-7120	81	5	inequality	inequality	NOUN
ejpam-7120	81	6	:	:	PUNCT
ejpam-7120	81	7	t	t	PROPN
ejpam-7120	81	8	(	(	PUNCT
ejpam-7120	81	9	p	p	X
ejpam-7120	81	10	,	,	PUNCT
ejpam-7120	81	11	q	q	ADJ
ejpam-7120	81	12	,	,	PUNCT
ejpam-7120	81	13	γ	γ	NOUN
ejpam-7120	81	14	)	)	PUNCT
ejpam-7120	81	15	•	•	NUM
ejpam-7120	81	16	t	t	PROPN
ejpam-7120	81	17	(	(	PUNCT
ejpam-7120	81	18	q	q	NOUN
ejpam-7120	81	19	,	,	PUNCT
ejpam-7120	81	20	r	r	NOUN
ejpam-7120	81	21	,	,	PUNCT
ejpam-7120	81	22	ρ	ρ	NOUN
ejpam-7120	81	23	)	)	PUNCT
ejpam-7120	81	24	≤	≤	NOUN
ejpam-7120	81	25	t	t	NOUN
ejpam-7120	81	26	(	(	PUNCT
ejpam-7120	81	27	p	p	X
ejpam-7120	81	28	,	,	PUNCT
ejpam-7120	81	29	r	r	NOUN
ejpam-7120	81	30	,	,	PUNCT
ejpam-7120	81	31	γ	γ	X
ejpam-7120	81	32	+	+	NOUN
ejpam-7120	81	33	ρ	ρ	PROPN
ejpam-7120	81	34	)	)	PUNCT
ejpam-7120	81	35	using	use	VERB
ejpam-7120	81	36	the	the	DET
ejpam-7120	81	37	product	product	NOUN
ejpam-7120	81	38	t	t	NOUN
ejpam-7120	81	39	-	-	PUNCT
ejpam-7120	81	40	norm	norm	NOUN
ejpam-7120	81	41	a	a	DET
ejpam-7120	81	42	•	•	NOUN
ejpam-7120	81	43	b	b	X
ejpam-7120	81	44	=	=	SYM
ejpam-7120	81	45	ab	ab	PROPN
ejpam-7120	81	46	:	:	PUNCT
ejpam-7120	81	47	t	t	PROPN
ejpam-7120	81	48	(	(	PUNCT
ejpam-7120	81	49	p	p	X
ejpam-7120	81	50	,	,	PUNCT
ejpam-7120	81	51	q	q	ADJ
ejpam-7120	81	52	,	,	PUNCT
ejpam-7120	81	53	γ	γ	NOUN
ejpam-7120	81	54	)	)	PUNCT
ejpam-7120	81	55	•	•	NUM
ejpam-7120	81	56	t	t	PROPN
ejpam-7120	81	57	(	(	PUNCT
ejpam-7120	81	58	q	q	NOUN
ejpam-7120	81	59	,	,	PUNCT
ejpam-7120	81	60	r	r	NOUN
ejpam-7120	81	61	,	,	PUNCT
ejpam-7120	81	62	ρ	ρ	NOUN
ejpam-7120	81	63	)	)	PUNCT
ejpam-7120	81	64	=	=	NOUN
ejpam-7120	81	65	exp	exp	NOUN
ejpam-7120	81	66	(	(	PUNCT
ejpam-7120	81	67	−γ	−γ	NOUN
ejpam-7120	81	68	·	·	PUNCT
ejpam-7120	81	69	jsd(p‖q	jsd(p‖q	NUM
ejpam-7120	81	70	)	)	PUNCT
ejpam-7120	81	71	)	)	PUNCT
ejpam-7120	81	72	·	·	PUNCT
ejpam-7120	82	1	exp	exp	NOUN
ejpam-7120	82	2	(	(	PUNCT
ejpam-7120	82	3	−ρ	−ρ	NOUN
ejpam-7120	82	4	·	·	SYM
ejpam-7120	82	5	jsd(q‖r	jsd(q‖r	PROPN
ejpam-7120	82	6	)	)	PUNCT
ejpam-7120	82	7	)	)	PUNCT
ejpam-7120	83	1	=	=	SYM
ejpam-7120	83	2	exp	exp	NOUN
ejpam-7120	83	3	(	(	PUNCT
ejpam-7120	83	4	−γ	−γ	NOUN
ejpam-7120	83	5	·	·	PUNCT
ejpam-7120	83	6	jsd(p‖q)−	jsd(p‖q)−	PROPN
ejpam-7120	83	7	ρ	ρ	PROPN
ejpam-7120	83	8	·	·	SYM
ejpam-7120	83	9	jsd(q‖r	jsd(q‖r	PROPN
ejpam-7120	83	10	)	)	PUNCT
ejpam-7120	83	11	)	)	PUNCT
ejpam-7120	83	12	since	since	SCONJ
ejpam-7120	83	13	jsd	jsd	PROPN
ejpam-7120	83	14	is	be	AUX
ejpam-7120	83	15	a	a	DET
ejpam-7120	83	16	metric	metric	NOUN
ejpam-7120	83	17	,	,	PUNCT
ejpam-7120	83	18	it	it	PRON
ejpam-7120	83	19	satisfies	satisfy	VERB
ejpam-7120	83	20	the	the	DET
ejpam-7120	83	21	triangle	triangle	NOUN
ejpam-7120	83	22	inequality	inequality	NOUN
ejpam-7120	83	23	:	:	PUNCT
ejpam-7120	83	24	jsd(p‖r	jsd(p‖r	NOUN
ejpam-7120	83	25	)	)	PUNCT
ejpam-7120	83	26	≤	≤	NUM
ejpam-7120	83	27	jsd(p‖q	jsd(p‖q	PROPN
ejpam-7120	83	28	)	)	PUNCT
ejpam-7120	84	1	+	+	NUM
ejpam-7120	84	2	jsd(q‖r	jsd(q‖r	NOUN
ejpam-7120	84	3	)	)	PUNCT
ejpam-7120	84	4	therefore	therefore	ADV
ejpam-7120	84	5	:	:	PUNCT
ejpam-7120	84	6	t	t	PROPN
ejpam-7120	84	7	(	(	PUNCT
ejpam-7120	84	8	p	p	X
ejpam-7120	84	9	,	,	PUNCT
ejpam-7120	84	10	r	r	NOUN
ejpam-7120	84	11	,	,	PUNCT
ejpam-7120	84	12	γ	γ	X
ejpam-7120	84	13	+	+	NOUN
ejpam-7120	84	14	ρ	ρ	PROPN
ejpam-7120	84	15	)	)	PUNCT
ejpam-7120	84	16	=	=	SYM
ejpam-7120	84	17	exp	exp	NOUN
ejpam-7120	84	18	(	(	PUNCT
ejpam-7120	84	19	−(γ	−(γ	PROPN
ejpam-7120	84	20	+	+	X
ejpam-7120	84	21	ρ	ρ	NOUN
ejpam-7120	84	22	)	)	PUNCT
ejpam-7120	84	23	·	·	PUNCT
ejpam-7120	84	24	jsd(p‖r	jsd(p‖r	PROPN
ejpam-7120	84	25	)	)	PUNCT
ejpam-7120	84	26	)	)	PUNCT
ejpam-7120	84	27	≥	≥	NOUN
ejpam-7120	84	28	exp	exp	NOUN
ejpam-7120	84	29	(	(	PUNCT
ejpam-7120	84	30	−(γ	−(γ	PROPN
ejpam-7120	84	31	+	+	X
ejpam-7120	84	32	ρ	ρ	NOUN
ejpam-7120	84	33	)	)	PUNCT
ejpam-7120	84	34	·	·	PUNCT
ejpam-7120	85	1	[	[	X
ejpam-7120	85	2	jsd(p‖q	jsd(p‖q	NOUN
ejpam-7120	85	3	)	)	PUNCT
ejpam-7120	85	4	+	+	NUM
ejpam-7120	85	5	jsd(q‖r	jsd(q‖r	NOUN
ejpam-7120	85	6	)	)	PUNCT
ejpam-7120	85	7	]	]	PUNCT
ejpam-7120	85	8	)	)	PUNCT
ejpam-7120	85	9	a.	a.	NOUN
ejpam-7120	85	10	malkawi	malkawi	PROPN
ejpam-7120	85	11	,	,	PUNCT
ejpam-7120	85	12	a.	a.	PROPN
ejpam-7120	85	13	rabaiah	rabaiah	PROPN
ejpam-7120	85	14	/	/	SYM
ejpam-7120	85	15	eur	eur	PROPN
ejpam-7120	85	16	.	.	PUNCT
ejpam-7120	86	1	j.	j.	PROPN
ejpam-7120	86	2	pure	pure	PROPN
ejpam-7120	86	3	appl	appl	PROPN
ejpam-7120	86	4	.	.	PROPN
ejpam-7120	86	5	math	math	PROPN
ejpam-7120	86	6	,	,	PUNCT
ejpam-7120	86	7	18	18	NUM
ejpam-7120	86	8	(	(	PUNCT
ejpam-7120	86	9	4	4	NUM
ejpam-7120	86	10	)	)	PUNCT
ejpam-7120	86	11	(	(	PUNCT
ejpam-7120	86	12	2025	2025	NUM
ejpam-7120	86	13	)	)	PUNCT
ejpam-7120	86	14	,	,	PUNCT
ejpam-7120	86	15	7120	7120	NUM
ejpam-7120	86	16	5	5	NUM
ejpam-7120	86	17	of	of	ADP
ejpam-7120	86	18	16	16	NUM
ejpam-7120	86	19	=	=	SYM
ejpam-7120	86	20	exp	exp	NOUN
ejpam-7120	86	21	(	(	PUNCT
ejpam-7120	86	22	−γ	−γ	NOUN
ejpam-7120	86	23	·	·	PUNCT
ejpam-7120	86	24	jsd(p‖q)−	jsd(p‖q)−	PROPN
ejpam-7120	86	25	ρ	ρ	PROPN
ejpam-7120	86	26	·	·	SYM
ejpam-7120	86	27	jsd(q‖r	jsd(q‖r	PROPN
ejpam-7120	86	28	)	)	PUNCT
ejpam-7120	86	29	)	)	PUNCT
ejpam-7120	86	30	·	·	PUNCT
ejpam-7120	87	1	exp	exp	NOUN
ejpam-7120	87	2	(	(	PUNCT
ejpam-7120	87	3	−ρ	−ρ	NOUN
ejpam-7120	87	4	·	·	PUNCT
ejpam-7120	87	5	jsd(p‖q)−	jsd(p‖q)−	PROPN
ejpam-7120	87	6	γ	γ	X
ejpam-7120	87	7	·	·	PUNCT
ejpam-7120	87	8	jsd(q‖r	jsd(q‖r	PROPN
ejpam-7120	87	9	)	)	PUNCT
ejpam-7120	87	10	)	)	PUNCT
ejpam-7120	87	11	since	since	SCONJ
ejpam-7120	87	12	exp	exp	NOUN
ejpam-7120	87	13	(	(	PUNCT
ejpam-7120	87	14	−ρ	−ρ	NOUN
ejpam-7120	87	15	·	·	PUNCT
ejpam-7120	87	16	jsd(p‖q)−	jsd(p‖q)−	PROPN
ejpam-7120	87	17	γ	γ	X
ejpam-7120	87	18	·	·	SYM
ejpam-7120	87	19	jsd(q‖r	jsd(q‖r	PROPN
ejpam-7120	87	20	)	)	PUNCT
ejpam-7120	87	21	)	)	PUNCT
ejpam-7120	87	22	≤	≤	ADV
ejpam-7120	87	23	1	1	NUM
ejpam-7120	87	24	for	for	ADP
ejpam-7120	87	25	all	all	DET
ejpam-7120	87	26	γ	γ	PROPN
ejpam-7120	87	27	,	,	PUNCT
ejpam-7120	87	28	ρ	ρ	PROPN
ejpam-7120	87	29	>	>	X
ejpam-7120	87	30	0	0	PROPN
ejpam-7120	88	1	and	and	CCONJ
ejpam-7120	88	2	p	p	X
ejpam-7120	88	3	,	,	PUNCT
ejpam-7120	88	4	q	q	INTJ
ejpam-7120	88	5	,	,	PUNCT
ejpam-7120	88	6	r	r	NOUN
ejpam-7120	88	7	∈	∈	PROPN
ejpam-7120	88	8	p	p	NOUN
ejpam-7120	88	9	,	,	PUNCT
ejpam-7120	88	10	we	we	PRON
ejpam-7120	88	11	have	have	VERB
ejpam-7120	88	12	:	:	PUNCT
ejpam-7120	88	13	t	t	PROPN
ejpam-7120	88	14	(	(	PUNCT
ejpam-7120	88	15	p	p	X
ejpam-7120	88	16	,	,	PUNCT
ejpam-7120	88	17	r	r	NOUN
ejpam-7120	88	18	,	,	PUNCT
ejpam-7120	88	19	γ	γ	X
ejpam-7120	88	20	+	+	NOUN
ejpam-7120	88	21	ρ	ρ	PROPN
ejpam-7120	88	22	)	)	PUNCT
ejpam-7120	88	23	≥	≥	NOUN
ejpam-7120	88	24	exp	exp	NOUN
ejpam-7120	88	25	(	(	PUNCT
ejpam-7120	88	26	−γ	−γ	NOUN
ejpam-7120	88	27	·	·	PUNCT
ejpam-7120	88	28	jsd(p‖q)−	jsd(p‖q)−	PROPN
ejpam-7120	88	29	ρ	ρ	PROPN
ejpam-7120	88	30	·	·	SYM
ejpam-7120	88	31	jsd(q‖r	jsd(q‖r	PROPN
ejpam-7120	88	32	)	)	PUNCT
ejpam-7120	88	33	)	)	PUNCT
ejpam-7120	89	1	=	=	SYM
ejpam-7120	89	2	t	t	PROPN
ejpam-7120	89	3	(	(	PUNCT
ejpam-7120	89	4	p	p	X
ejpam-7120	89	5	,	,	PUNCT
ejpam-7120	89	6	q	q	ADJ
ejpam-7120	89	7	,	,	PUNCT
ejpam-7120	89	8	γ	γ	NOUN
ejpam-7120	89	9	)	)	PUNCT
ejpam-7120	89	10	•	•	NUM
ejpam-7120	89	11	t	t	PROPN
ejpam-7120	89	12	(	(	PUNCT
ejpam-7120	89	13	q	q	NOUN
ejpam-7120	89	14	,	,	PUNCT
ejpam-7120	89	15	r	r	NOUN
ejpam-7120	89	16	,	,	PUNCT
ejpam-7120	89	17	ρ	ρ	NOUN
ejpam-7120	89	18	)	)	PUNCT
ejpam-7120	89	19	(	(	PUNCT
ejpam-7120	89	20	iv	iv	X
ejpam-7120	89	21	)	)	PUNCT
ejpam-7120	89	22	asymptotic	asymptotic	ADJ
ejpam-7120	89	23	behavior	behavior	NOUN
ejpam-7120	89	24	:	:	PUNCT
ejpam-7120	89	25	lim	lim	PROPN
ejpam-7120	89	26	γ→∞	γ→∞	PROPN
ejpam-7120	89	27	t	t	PROPN
ejpam-7120	89	28	(	(	PUNCT
ejpam-7120	89	29	p	p	X
ejpam-7120	89	30	,	,	PUNCT
ejpam-7120	89	31	q	q	ADJ
ejpam-7120	89	32	,	,	PUNCT
ejpam-7120	89	33	γ	γ	NOUN
ejpam-7120	89	34	)	)	PUNCT
ejpam-7120	89	35	=	=	NOUN
ejpam-7120	89	36	{	{	PUNCT
ejpam-7120	89	37	1	1	NUM
ejpam-7120	89	38	if	if	SCONJ
ejpam-7120	89	39	p	p	NOUN
ejpam-7120	89	40	=	=	NOUN
ejpam-7120	89	41	q	q	NOUN
ejpam-7120	89	42	0	0	PUNCT
ejpam-7120	90	1	if	if	SCONJ
ejpam-7120	90	2	p	p	PROPN
ejpam-7120	90	3	6=	6=	PROPN
ejpam-7120	90	4	q	q	NOUN
ejpam-7120	90	5	this	this	PRON
ejpam-7120	90	6	follows	follow	VERB
ejpam-7120	90	7	because	because	SCONJ
ejpam-7120	90	8	:	:	PUNCT
ejpam-7120	90	9	lim	lim	PROPN
ejpam-7120	90	10	γ→∞	γ→∞	NUM
ejpam-7120	90	11	exp	exp	NOUN
ejpam-7120	90	12	(	(	PUNCT
ejpam-7120	90	13	−γ	−γ	NOUN
ejpam-7120	90	14	·	·	PUNCT
ejpam-7120	90	15	jsd(p‖q	jsd(p‖q	NUM
ejpam-7120	90	16	)	)	PUNCT
ejpam-7120	90	17	)	)	PUNCT
ejpam-7120	91	1	=	=	PRON
ejpam-7120	91	2	{	{	PUNCT
ejpam-7120	91	3	exp(0	exp(0	NOUN
ejpam-7120	91	4	)	)	PUNCT
ejpam-7120	91	5	=	=	SYM
ejpam-7120	91	6	1	1	NUM
ejpam-7120	91	7	if	if	SCONJ
ejpam-7120	91	8	jsd(p‖q	jsd(p‖q	PROPN
ejpam-7120	91	9	)	)	PUNCT
ejpam-7120	92	1	=	=	SYM
ejpam-7120	92	2	0	0	PUNCT
ejpam-7120	92	3	(	(	PUNCT
ejpam-7120	92	4	i.e.	i.e.	X
ejpam-7120	92	5	,	,	PUNCT
ejpam-7120	92	6	p	p	NOUN
ejpam-7120	92	7	=	=	X
ejpam-7120	92	8	q	q	NOUN
ejpam-7120	92	9	)	)	PUNCT
ejpam-7120	92	10	0	0	PUNCT
ejpam-7120	93	1	if	if	SCONJ
ejpam-7120	93	2	jsd(p‖q	jsd(p‖q	PROPN
ejpam-7120	93	3	)	)	PUNCT
ejpam-7120	94	1	>	>	X
ejpam-7120	94	2	0	0	PUNCT
ejpam-7120	95	1	(	(	PUNCT
ejpam-7120	95	2	i.e.	i.e.	X
ejpam-7120	95	3	,	,	PUNCT
ejpam-7120	95	4	p	p	PROPN
ejpam-7120	95	5	6=	6=	ADP
ejpam-7120	95	6	q	q	NOUN
ejpam-7120	95	7	)	)	PUNCT
ejpam-7120	95	8	part	part	NOUN
ejpam-7120	95	9	2	2	NUM
ejpam-7120	95	10	:	:	PUNCT
ejpam-7120	95	11	indeterminacy	indeterminacy	NOUN
ejpam-7120	95	12	and	and	CCONJ
ejpam-7120	95	13	falsity	falsity	NOUN
ejpam-7120	95	14	properties	property	NOUN
ejpam-7120	95	15	(	(	PUNCT
ejpam-7120	95	16	i	i	NOUN
ejpam-7120	95	17	)	)	PUNCT
ejpam-7120	95	18	indeterminacy	indeterminacy	NOUN
ejpam-7120	95	19	bounds	bound	NOUN
ejpam-7120	95	20	:	:	PUNCT
ejpam-7120	95	21	0	0	NUM
ejpam-7120	95	22	≤	≤	NUM
ejpam-7120	95	23	i(p	i(p	NOUN
ejpam-7120	95	24	,	,	PUNCT
ejpam-7120	95	25	q	q	X
ejpam-7120	95	26	,	,	PUNCT
ejpam-7120	95	27	γ	γ	NOUN
ejpam-7120	95	28	)	)	PUNCT
ejpam-7120	95	29	≤	≤	NOUN
ejpam-7120	95	30	1	1	NUM
ejpam-7120	95	31	i(p	i(p	NOUN
ejpam-7120	95	32	,	,	PUNCT
ejpam-7120	95	33	q	q	NOUN
ejpam-7120	95	34	,	,	PUNCT
ejpam-7120	95	35	γ	γ	NOUN
ejpam-7120	95	36	)	)	PUNCT
ejpam-7120	95	37	=	=	SYM
ejpam-7120	95	38	1−	1−	NUM
ejpam-7120	95	39	∣∣∣∣h(p)−h(q	∣∣∣∣h(p)−h(q	NOUN
ejpam-7120	95	40	)	)	PUNCT
ejpam-7120	95	41	maxr∈p	maxr∈p	PROPN
ejpam-7120	95	42	h(r	h(r	NOUN
ejpam-7120	95	43	)	)	PUNCT
ejpam-7120	95	44	∣∣∣∣	∣∣∣∣	PROPN
ejpam-7120	95	45	·	·	PUNCT
ejpam-7120	95	46	exp	exp	NOUN
ejpam-7120	95	47	(	(	PUNCT
ejpam-7120	95	48	−γ	−γ	NOUN
ejpam-7120	95	49	·	·	PUNCT
ejpam-7120	95	50	|dkl(p‖u)−dkl(q‖u)|	|dkl(p‖u)−dkl(q‖u)|	NOUN
ejpam-7120	95	51	)	)	PUNCT
ejpam-7120	95	52	since	since	SCONJ
ejpam-7120	95	53	0	0	NUM
ejpam-7120	95	54	≤	≤	NOUN
ejpam-7120	95	55	∣∣∣h(p)−h(q	∣∣∣h(p)−h(q	ADV
ejpam-7120	95	56	)	)	PUNCT
ejpam-7120	95	57	maxh	maxh	X
ejpam-7120	95	58	∣∣∣	∣∣∣	ADJ
ejpam-7120	95	59	≤	≤	NUM
ejpam-7120	95	60	1	1	NUM
ejpam-7120	95	61	and	and	CCONJ
ejpam-7120	95	62	0	0	NUM
ejpam-7120	95	63	≤	≤	NUM
ejpam-7120	95	64	exp	exp	NOUN
ejpam-7120	95	65	(	(	PUNCT
ejpam-7120	95	66	·	·	PUNCT
ejpam-7120	95	67	)	)	PUNCT
ejpam-7120	95	68	≤	≤	NUM
ejpam-7120	95	69	1	1	NUM
ejpam-7120	95	70	,	,	PUNCT
ejpam-7120	95	71	we	we	PRON
ejpam-7120	95	72	have	have	VERB
ejpam-7120	95	73	0	0	NUM
ejpam-7120	95	74	≤	≤	NUM
ejpam-7120	95	75	i(p	i(p	NOUN
ejpam-7120	95	76	,	,	PUNCT
ejpam-7120	95	77	q	q	X
ejpam-7120	95	78	,	,	PUNCT
ejpam-7120	95	79	γ	γ	NOUN
ejpam-7120	95	80	)	)	PUNCT
ejpam-7120	95	81	≤	≤	NUM
ejpam-7120	95	82	1	1	NUM
ejpam-7120	95	83	.	.	PUNCT
ejpam-7120	95	84	(	(	PUNCT
ejpam-7120	95	85	ii	ii	NOUN
ejpam-7120	95	86	)	)	PUNCT
ejpam-7120	95	87	consistency	consistency	NOUN
ejpam-7120	95	88	:	:	PUNCT
ejpam-7120	95	89	t	t	PROPN
ejpam-7120	95	90	(	(	PUNCT
ejpam-7120	95	91	p	p	X
ejpam-7120	95	92	,	,	PUNCT
ejpam-7120	95	93	q	q	ADJ
ejpam-7120	95	94	,	,	PUNCT
ejpam-7120	95	95	γ	γ	NOUN
ejpam-7120	95	96	)	)	PUNCT
ejpam-7120	95	97	+	+	CCONJ
ejpam-7120	95	98	i(p	i(p	NOUN
ejpam-7120	95	99	,	,	PUNCT
ejpam-7120	95	100	q	q	NOUN
ejpam-7120	95	101	,	,	PUNCT
ejpam-7120	95	102	γ	γ	NOUN
ejpam-7120	95	103	)	)	PUNCT
ejpam-7120	96	1	+	+	NUM
ejpam-7120	96	2	f(p	f(p	PROPN
ejpam-7120	96	3	,	,	PUNCT
ejpam-7120	96	4	q	q	X
ejpam-7120	96	5	,	,	PUNCT
ejpam-7120	96	6	γ	γ	NOUN
ejpam-7120	96	7	)	)	PUNCT
ejpam-7120	96	8	=	=	SYM
ejpam-7120	96	9	1	1	NUM
ejpam-7120	96	10	by	by	ADP
ejpam-7120	96	11	construction	construction	NOUN
ejpam-7120	96	12	.	.	PUNCT
ejpam-7120	97	1	this	this	PRON
ejpam-7120	97	2	completes	complete	VERB
ejpam-7120	97	3	the	the	DET
ejpam-7120	97	4	proof	proof	NOUN
ejpam-7120	97	5	that	that	SCONJ
ejpam-7120	97	6	(	(	PUNCT
ejpam-7120	97	7	t	t	NOUN
ejpam-7120	97	8	,	,	PUNCT
ejpam-7120	97	9	i	i	PRON
ejpam-7120	97	10	,	,	PUNCT
ejpam-7120	97	11	f	f	X
ejpam-7120	97	12	)	)	PUNCT
ejpam-7120	97	13	forms	form	VERB
ejpam-7120	97	14	a	a	DET
ejpam-7120	97	15	valid	valid	ADJ
ejpam-7120	97	16	neutrosophic	neutrosophic	ADJ
ejpam-7120	97	17	structure	structure	NOUN
ejpam-7120	97	18	on	on	ADP
ejpam-7120	97	19	the	the	DET
ejpam-7120	97	20	statistical	statistical	ADJ
ejpam-7120	97	21	manifold	manifold	ADJ
ejpam-7120	97	22	p.	p.	NOUN
ejpam-7120	97	23	theorem	theorem	NOUN
ejpam-7120	97	24	2	2	NUM
ejpam-7120	97	25	(	(	PUNCT
ejpam-7120	97	26	mr	mr	NOUN
ejpam-7120	97	27	-	-	PUNCT
ejpam-7120	97	28	metric	metric	NOUN
ejpam-7120	97	29	as	as	ADP
ejpam-7120	97	30	symmetric	symmetric	ADJ
ejpam-7120	97	31	fisher	fisher	PROPN
ejpam-7120	97	32	-	-	PUNCT
ejpam-7120	97	33	rao	rao	NOUN
ejpam-7120	97	34	analog	analog	NOUN
ejpam-7120	97	35	)	)	PUNCT
ejpam-7120	97	36	.	.	PUNCT
ejpam-7120	98	1	the	the	DET
ejpam-7120	98	2	mr	mr	PROPN
ejpam-7120	98	3	-	-	PUNCT
ejpam-7120	98	4	metric	metric	ADJ
ejpam-7120	98	5	m	m	NOUN
ejpam-7120	98	6	is	be	AUX
ejpam-7120	98	7	a	a	DET
ejpam-7120	98	8	symmetric	symmetric	ADJ
ejpam-7120	98	9	generalization	generalization	NOUN
ejpam-7120	98	10	of	of	ADP
ejpam-7120	98	11	the	the	DET
ejpam-7120	98	12	fisher	fisher	PROPN
ejpam-7120	98	13	-	-	PUNCT
ejpam-7120	98	14	rao	rao	NOUN
ejpam-7120	98	15	metric	metric	NOUN
ejpam-7120	98	16	,	,	PUNCT
ejpam-7120	98	17	with	with	ADP
ejpam-7120	98	18	the	the	DET
ejpam-7120	98	19	following	follow	VERB
ejpam-7120	98	20	relations	relation	NOUN
ejpam-7120	98	21	:	:	PUNCT
ejpam-7120	98	22	(	(	PUNCT
ejpam-7120	98	23	i	i	NOUN
ejpam-7120	98	24	)	)	PUNCT
ejpam-7120	98	25	local	local	ADJ
ejpam-7120	98	26	expansion	expansion	NOUN
ejpam-7120	98	27	:	:	PUNCT
ejpam-7120	98	28	for	for	ADP
ejpam-7120	98	29	infinitesimally	infinitesimally	ADV
ejpam-7120	98	30	close	close	ADJ
ejpam-7120	98	31	distributions	distribution	NOUN
ejpam-7120	98	32	p(θ	p(θ	PROPN
ejpam-7120	98	33	)	)	PUNCT
ejpam-7120	98	34	,	,	PUNCT
ejpam-7120	98	35	p(θ	p(θ	PROPN
ejpam-7120	98	36	+	+	CCONJ
ejpam-7120	98	37	dθ	dθ	PROPN
ejpam-7120	98	38	)	)	PUNCT
ejpam-7120	98	39	,	,	PUNCT
ejpam-7120	98	40	and	and	CCONJ
ejpam-7120	98	41	p(θ	p(θ	PROPN
ejpam-7120	99	1	+	+	CCONJ
ejpam-7120	99	2	dφ	dφ	X
ejpam-7120	99	3	):	):	PUNCT
ejpam-7120	99	4	m(p(θ	m(p(θ	PROPN
ejpam-7120	99	5	)	)	PUNCT
ejpam-7120	99	6	,	,	PUNCT
ejpam-7120	99	7	p(θ	p(θ	PROPN
ejpam-7120	99	8	+	+	CCONJ
ejpam-7120	99	9	dθ	dθ	PROPN
ejpam-7120	99	10	)	)	PUNCT
ejpam-7120	99	11	,	,	PUNCT
ejpam-7120	99	12	p(θ	p(θ	PROPN
ejpam-7120	99	13	+	+	X
ejpam-7120	99	14	dφ	dφ	X
ejpam-7120	99	15	)	)	PUNCT
ejpam-7120	99	16	)	)	PUNCT
ejpam-7120	100	1	=	=	SYM
ejpam-7120	100	2	1	1	NUM
ejpam-7120	100	3	2	2	NUM
ejpam-7120	100	4	[	[	PUNCT
ejpam-7120	100	5	gij(θ	gij(θ	PROPN
ejpam-7120	100	6	)	)	PUNCT
ejpam-7120	100	7	dθ	dθ	PROPN
ejpam-7120	100	8	idθj	idθj	PROPN
ejpam-7120	101	1	+	+	CCONJ
ejpam-7120	102	1	gij(θ	gij(θ	PROPN
ejpam-7120	102	2	)	)	PUNCT
ejpam-7120	102	3	dφ	dφ	ADP
ejpam-7120	102	4	idφj	idφj	NOUN
ejpam-7120	103	1	+	+	CCONJ
ejpam-7120	103	2	gij(θ	gij(θ	PROPN
ejpam-7120	103	3	)	)	PUNCT
ejpam-7120	104	1	(	(	PUNCT
ejpam-7120	104	2	dθ	dθ	NOUN
ejpam-7120	104	3	i	i	PRON
ejpam-7120	104	4	−	−	PUNCT
ejpam-7120	104	5	dφi)(dθj	dφi)(dθj	VERB
ejpam-7120	104	6	−	−	PROPN
ejpam-7120	104	7	dφj	dφj	PROPN
ejpam-7120	104	8	)	)	PUNCT
ejpam-7120	104	9	]	]	PUNCT
ejpam-7120	105	1	+	+	PUNCT
ejpam-7120	105	2	o(‖dθ‖3	o(‖dθ‖3	PROPN
ejpam-7120	105	3	)	)	PUNCT
ejpam-7120	105	4	,	,	PUNCT
ejpam-7120	105	5	where	where	SCONJ
ejpam-7120	105	6	gij	gij	PROPN
ejpam-7120	105	7	is	be	AUX
ejpam-7120	105	8	the	the	DET
ejpam-7120	105	9	fisher	fisher	PROPN
ejpam-7120	105	10	–	–	PUNCT
ejpam-7120	105	11	rao	rao	PROPN
ejpam-7120	105	12	metric	metric	ADJ
ejpam-7120	105	13	tensor	tensor	NOUN
ejpam-7120	105	14	.	.	PUNCT
ejpam-7120	106	1	(	(	PUNCT
ejpam-7120	106	2	ii	ii	NOUN
ejpam-7120	106	3	)	)	PUNCT
ejpam-7120	106	4	curvature	curvature	NOUN
ejpam-7120	106	5	relation	relation	NOUN
ejpam-7120	106	6	:	:	PUNCT
ejpam-7120	106	7	the	the	DET
ejpam-7120	106	8	contraction	contraction	NOUN
ejpam-7120	106	9	constant	constant	ADJ
ejpam-7120	106	10	r	r	NOUN
ejpam-7120	106	11	is	be	AUX
ejpam-7120	106	12	bounded	bound	VERB
ejpam-7120	106	13	by	by	ADP
ejpam-7120	106	14	:	:	PUNCT
ejpam-7120	106	15	r	r	NOUN
ejpam-7120	106	16	≥	≥	NUM
ejpam-7120	106	17	1	1	NUM
ejpam-7120	106	18	+	+	CCONJ
ejpam-7120	106	19	1	1	NUM
ejpam-7120	106	20	4	4	NUM
ejpam-7120	106	21	max	max	NOUN
ejpam-7120	106	22	p	p	X
ejpam-7120	106	23	,	,	PUNCT
ejpam-7120	106	24	q	q	ADJ
ejpam-7120	106	25	,	,	PUNCT
ejpam-7120	106	26	r∈p	r∈p	ADJ
ejpam-7120	106	27	r(p	r(p	NOUN
ejpam-7120	106	28	,	,	PUNCT
ejpam-7120	106	29	q	q	ADJ
ejpam-7120	106	30	,	,	PUNCT
ejpam-7120	106	31	r)√	r)√	NOUN
ejpam-7120	106	32	g(p	g(p	PROPN
ejpam-7120	106	33	,	,	PUNCT
ejpam-7120	106	34	p)g(q	p)g(q	NOUN
ejpam-7120	106	35	,	,	PUNCT
ejpam-7120	106	36	q)g(r	q)g(r	ADJ
ejpam-7120	106	37	,	,	PUNCT
ejpam-7120	106	38	r	r	NOUN
ejpam-7120	106	39	)	)	PUNCT
ejpam-7120	106	40	where	where	SCONJ
ejpam-7120	106	41	r	r	NOUN
ejpam-7120	106	42	is	be	AUX
ejpam-7120	106	43	the	the	DET
ejpam-7120	106	44	sectional	sectional	ADJ
ejpam-7120	106	45	curvature	curvature	NOUN
ejpam-7120	106	46	tensor	tensor	NOUN
ejpam-7120	106	47	of	of	ADP
ejpam-7120	106	48	the	the	DET
ejpam-7120	106	49	statistical	statistical	ADJ
ejpam-7120	106	50	manifold	manifold	NOUN
ejpam-7120	106	51	.	.	PUNCT
ejpam-7120	107	1	a.	a.	PROPN
ejpam-7120	107	2	malkawi	malkawi	PROPN
ejpam-7120	107	3	,	,	PUNCT
ejpam-7120	107	4	a.	a.	PROPN
ejpam-7120	107	5	rabaiah	rabaiah	PROPN
ejpam-7120	107	6	/	/	SYM
ejpam-7120	107	7	eur	eur	PROPN
ejpam-7120	107	8	.	.	PUNCT
ejpam-7120	108	1	j.	j.	PROPN
ejpam-7120	108	2	pure	pure	PROPN
ejpam-7120	108	3	appl	appl	PROPN
ejpam-7120	108	4	.	.	PROPN
ejpam-7120	108	5	math	math	PROPN
ejpam-7120	108	6	,	,	PUNCT
ejpam-7120	108	7	18	18	NUM
ejpam-7120	108	8	(	(	PUNCT
ejpam-7120	108	9	4	4	NUM
ejpam-7120	108	10	)	)	PUNCT
ejpam-7120	108	11	(	(	PUNCT
ejpam-7120	108	12	2025	2025	NUM
ejpam-7120	108	13	)	)	PUNCT
ejpam-7120	108	14	,	,	PUNCT
ejpam-7120	108	15	7120	7120	NUM
ejpam-7120	108	16	6	6	NUM
ejpam-7120	108	17	of	of	ADP
ejpam-7120	108	18	16	16	NUM
ejpam-7120	108	19	proof	proof	NOUN
ejpam-7120	108	20	.	.	PUNCT
ejpam-7120	109	1	part	part	NOUN
ejpam-7120	109	2	1	1	NUM
ejpam-7120	109	3	:	:	PUNCT
ejpam-7120	109	4	local	local	ADJ
ejpam-7120	109	5	expansion	expansion	NOUN
ejpam-7120	109	6	and	and	CCONJ
ejpam-7120	109	7	fisher	fisher	PROPN
ejpam-7120	109	8	-	-	PUNCT
ejpam-7120	109	9	rao	rao	NOUN
ejpam-7120	109	10	connection	connection	NOUN
ejpam-7120	109	11	consider	consider	VERB
ejpam-7120	109	12	the	the	DET
ejpam-7120	109	13	taylor	taylor	PROPN
ejpam-7120	109	14	expansion	expansion	NOUN
ejpam-7120	109	15	of	of	ADP
ejpam-7120	109	16	djs	djs	NOUN
ejpam-7120	109	17	around	around	ADP
ejpam-7120	109	18	θ	θ	PROPN
ejpam-7120	109	19	:	:	PUNCT
ejpam-7120	109	20	for	for	ADP
ejpam-7120	109	21	p	p	PROPN
ejpam-7120	109	22	=	=	PROPN
ejpam-7120	109	23	p(θ	p(θ	PROPN
ejpam-7120	109	24	)	)	PUNCT
ejpam-7120	109	25	,	,	PUNCT
ejpam-7120	109	26	q	q	NOUN
ejpam-7120	110	1	=	=	X
ejpam-7120	110	2	p(θ	p(θ	PROPN
ejpam-7120	110	3	+	+	CCONJ
ejpam-7120	110	4	dθ	dθ	PROPN
ejpam-7120	110	5	)	)	PUNCT
ejpam-7120	110	6	,	,	PUNCT
ejpam-7120	110	7	r	r	NOUN
ejpam-7120	110	8	=	=	SYM
ejpam-7120	110	9	p(θ	p(θ	PROPN
ejpam-7120	110	10	+	+	X
ejpam-7120	110	11	dφ	dφ	X
ejpam-7120	110	12	)	)	PUNCT
ejpam-7120	110	13	,	,	PUNCT
ejpam-7120	110	14	we	we	PRON
ejpam-7120	110	15	have	have	VERB
ejpam-7120	110	16	:	:	PUNCT
ejpam-7120	110	17	djs(p‖q	djs(p‖q	X
ejpam-7120	110	18	)	)	PUNCT
ejpam-7120	110	19	=	=	SYM
ejpam-7120	110	20	1	1	NUM
ejpam-7120	110	21	8	8	NUM
ejpam-7120	110	22	gij(θ)dθ	gij(θ)dθ	PRON
ejpam-7120	110	23	idθj	idθj	NOUN
ejpam-7120	110	24	+	+	NOUN
ejpam-7120	110	25	o(‖dθ‖3	o(‖dθ‖3	PROPN
ejpam-7120	110	26	)	)	PUNCT
ejpam-7120	110	27	djs(q‖r	djs(q‖r	NOUN
ejpam-7120	110	28	)	)	PUNCT
ejpam-7120	110	29	=	=	SYM
ejpam-7120	110	30	1	1	NUM
ejpam-7120	110	31	8	8	NUM
ejpam-7120	110	32	gij(θ)(dφ	gij(θ)(dφ	NOUN
ejpam-7120	111	1	i	i	PRON
ejpam-7120	111	2	−	−	VERB
ejpam-7120	111	3	dθi)(dφj	dθi)(dφj	NOUN
ejpam-7120	111	4	−	−	NOUN
ejpam-7120	111	5	dθj	dθj	ADV
ejpam-7120	111	6	)	)	PUNCT
ejpam-7120	112	1	+	+	ADJ
ejpam-7120	112	2	o(‖dφ−	o(‖dφ−	ADJ
ejpam-7120	112	3	dθ‖3	dθ‖3	PROPN
ejpam-7120	112	4	)	)	PUNCT
ejpam-7120	112	5	djs(r‖p	djs(r‖p	PROPN
ejpam-7120	112	6	)	)	PUNCT
ejpam-7120	113	1	=	=	SYM
ejpam-7120	113	2	1	1	NUM
ejpam-7120	113	3	8	8	NUM
ejpam-7120	113	4	gij(θ)dφ	gij(θ)dφ	X
ejpam-7120	113	5	idφj	idφj	NOUN
ejpam-7120	113	6	+	+	PROPN
ejpam-7120	113	7	o(‖dφ‖3	o(‖dφ‖3	PROPN
ejpam-7120	113	8	)	)	PUNCT
ejpam-7120	113	9	therefore	therefore	ADV
ejpam-7120	113	10	:	:	PUNCT
ejpam-7120	113	11	m(p	m(p	PROPN
ejpam-7120	113	12	,	,	PUNCT
ejpam-7120	113	13	q	q	NOUN
ejpam-7120	113	14	,	,	PUNCT
ejpam-7120	113	15	r	r	NOUN
ejpam-7120	113	16	)	)	PUNCT
ejpam-7120	113	17	=	=	SYM
ejpam-7120	113	18	djs(p‖q	djs(p‖q	NOUN
ejpam-7120	113	19	)	)	PUNCT
ejpam-7120	114	1	+	+	NOUN
ejpam-7120	114	2	djs(q‖r	djs(q‖r	NOUN
ejpam-7120	114	3	)	)	PUNCT
ejpam-7120	114	4	+	+	NOUN
ejpam-7120	114	5	djs(r‖p	djs(r‖p	X
ejpam-7120	114	6	)	)	PUNCT
ejpam-7120	114	7	=	=	SYM
ejpam-7120	114	8	1	1	NUM
ejpam-7120	114	9	8	8	NUM
ejpam-7120	114	10	[	[	PUNCT
ejpam-7120	114	11	gijdθ	gijdθ	NOUN
ejpam-7120	114	12	idθj	idθj	VERB
ejpam-7120	114	13	+	+	CCONJ
ejpam-7120	114	14	gij(dφ	gij(dφ	NOUN
ejpam-7120	114	15	i	i	PRON
ejpam-7120	114	16	−	−	VERB
ejpam-7120	114	17	dθi)(dφj	dθi)(dφj	NOUN
ejpam-7120	114	18	−	−	NOUN
ejpam-7120	114	19	dθj	dθj	ADV
ejpam-7120	114	20	)	)	PUNCT
ejpam-7120	114	21	+	+	CCONJ
ejpam-7120	114	22	gijdφ	gijdφ	PROPN
ejpam-7120	114	23	idφj	idφj	NOUN
ejpam-7120	114	24	]	]	PUNCT
ejpam-7120	115	1	+	+	X
ejpam-7120	115	2	o(‖d‖3	o(‖d‖3	NOUN
ejpam-7120	115	3	)	)	PUNCT
ejpam-7120	115	4	=	=	SYM
ejpam-7120	115	5	1	1	NUM
ejpam-7120	115	6	4	4	NUM
ejpam-7120	115	7	[	[	PUNCT
ejpam-7120	115	8	gijdθ	gijdθ	NOUN
ejpam-7120	115	9	idθj	idθj	VERB
ejpam-7120	115	10	+	+	CCONJ
ejpam-7120	115	11	gijdφ	gijdφ	PROPN
ejpam-7120	115	12	idφj	idφj	NOUN
ejpam-7120	115	13	+	+	CCONJ
ejpam-7120	115	14	1	1	NUM
ejpam-7120	115	15	2	2	NUM
ejpam-7120	115	16	gij(dθ	gij(dθ	VERB
ejpam-7120	115	17	i	i	PRON
ejpam-7120	115	18	−	−	PUNCT
ejpam-7120	115	19	dφi)(dθj	dφi)(dθj	VERB
ejpam-7120	115	20	−	−	PROPN
ejpam-7120	115	21	dφj	dφj	PROPN
ejpam-7120	115	22	)	)	PUNCT
ejpam-7120	115	23	]	]	PUNCT
ejpam-7120	116	1	+	+	X
ejpam-7120	116	2	o(‖d‖3	o(‖d‖3	NOUN
ejpam-7120	116	3	)	)	PUNCT
ejpam-7120	116	4	this	this	PRON
ejpam-7120	116	5	shows	show	VERB
ejpam-7120	116	6	that	that	SCONJ
ejpam-7120	116	7	m	m	PROPN
ejpam-7120	116	8	captures	capture	VERB
ejpam-7120	116	9	the	the	DET
ejpam-7120	116	10	fisher	fisher	PROPN
ejpam-7120	116	11	-	-	PUNCT
ejpam-7120	116	12	rao	rao	NOUN
ejpam-7120	116	13	geometry	geometry	NOUN
ejpam-7120	116	14	in	in	ADP
ejpam-7120	116	15	a	a	DET
ejpam-7120	116	16	symmetric	symmetric	ADJ
ejpam-7120	116	17	,	,	PUNCT
ejpam-7120	116	18	triple	triple	ADJ
ejpam-7120	116	19	-	-	PUNCT
ejpam-7120	116	20	based	base	VERB
ejpam-7120	116	21	formulation	formulation	NOUN
ejpam-7120	116	22	.	.	PUNCT
ejpam-7120	117	1	part	part	NOUN
ejpam-7120	117	2	2	2	NUM
ejpam-7120	117	3	:	:	PUNCT
ejpam-7120	117	4	curvature	curvature	VERB
ejpam-7120	117	5	and	and	CCONJ
ejpam-7120	117	6	contraction	contraction	VERB
ejpam-7120	117	7	constant	constant	ADJ
ejpam-7120	117	8	using	use	VERB
ejpam-7120	117	9	the	the	DET
ejpam-7120	117	10	generalized	generalized	ADJ
ejpam-7120	117	11	triangle	triangle	NOUN
ejpam-7120	117	12	inequality	inequality	NOUN
ejpam-7120	117	13	for	for	ADP
ejpam-7120	117	14	m	m	PRON
ejpam-7120	117	15	:	:	PUNCT
ejpam-7120	117	16	m(p	m(p	PROPN
ejpam-7120	117	17	,	,	PUNCT
ejpam-7120	117	18	q	q	NOUN
ejpam-7120	117	19	,	,	PUNCT
ejpam-7120	117	20	r	r	NOUN
ejpam-7120	117	21	)	)	PUNCT
ejpam-7120	117	22	≤	≤	NOUN
ejpam-7120	117	23	r	r	NOUN
ejpam-7120	118	1	[	[	X
ejpam-7120	118	2	m(p	m(p	PROPN
ejpam-7120	118	3	,	,	PUNCT
ejpam-7120	118	4	q	q	X
ejpam-7120	118	5	,	,	PUNCT
ejpam-7120	118	6	s	s	PART
ejpam-7120	118	7	)	)	PUNCT
ejpam-7120	118	8	+	+	ADJ
ejpam-7120	118	9	m(p	m(p	PROPN
ejpam-7120	118	10	,	,	PUNCT
ejpam-7120	118	11	s	s	X
ejpam-7120	118	12	,	,	PUNCT
ejpam-7120	118	13	r	r	NOUN
ejpam-7120	118	14	)	)	PUNCT
ejpam-7120	118	15	+	+	NOUN
ejpam-7120	118	16	m(s	m(s	PROPN
ejpam-7120	118	17	,	,	PUNCT
ejpam-7120	118	18	q	q	NOUN
ejpam-7120	118	19	,	,	PUNCT
ejpam-7120	118	20	r	r	NOUN
ejpam-7120	118	21	)	)	PUNCT
ejpam-7120	118	22	]	]	PUNCT
ejpam-7120	118	23	for	for	ADP
ejpam-7120	118	24	infinitesimal	infinitesimal	ADJ
ejpam-7120	118	25	triangles	triangle	NOUN
ejpam-7120	118	26	,	,	PUNCT
ejpam-7120	118	27	the	the	DET
ejpam-7120	118	28	worst	bad	ADJ
ejpam-7120	118	29	-	-	PUNCT
ejpam-7120	118	30	case	case	NOUN
ejpam-7120	118	31	ratio	ratio	NOUN
ejpam-7120	118	32	occurs	occur	VERB
ejpam-7120	118	33	when	when	SCONJ
ejpam-7120	118	34	the	the	DET
ejpam-7120	118	35	manifold	manifold	NOUN
ejpam-7120	118	36	has	have	VERB
ejpam-7120	118	37	maximum	maximum	ADJ
ejpam-7120	118	38	sectional	sectional	ADJ
ejpam-7120	118	39	curvature	curvature	NOUN
ejpam-7120	118	40	.	.	PUNCT
ejpam-7120	119	1	by	by	ADP
ejpam-7120	119	2	the	the	DET
ejpam-7120	119	3	generalized	generalized	ADJ
ejpam-7120	119	4	law	law	NOUN
ejpam-7120	119	5	of	of	ADP
ejpam-7120	119	6	cosines	cosine	NOUN
ejpam-7120	119	7	on	on	ADP
ejpam-7120	119	8	riemannian	riemannian	ADJ
ejpam-7120	119	9	manifolds	manifold	NOUN
ejpam-7120	119	10	:	:	PUNCT
ejpam-7120	119	11	for	for	ADP
ejpam-7120	119	12	a	a	DET
ejpam-7120	119	13	geodesic	geodesic	ADJ
ejpam-7120	119	14	triangle	triangle	NOUN
ejpam-7120	119	15	with	with	ADP
ejpam-7120	119	16	vertices	vertex	NOUN
ejpam-7120	119	17	p	p	X
ejpam-7120	119	18	,	,	PUNCT
ejpam-7120	119	19	q	q	ADJ
ejpam-7120	119	20	,	,	PUNCT
ejpam-7120	119	21	r	r	NOUN
ejpam-7120	119	22	and	and	CCONJ
ejpam-7120	119	23	a	a	DET
ejpam-7120	119	24	point	point	NOUN
ejpam-7120	119	25	s	s	VERB
ejpam-7120	119	26	on	on	ADP
ejpam-7120	119	27	the	the	DET
ejpam-7120	119	28	geodesic	geodesic	NOUN
ejpam-7120	119	29	between	between	ADP
ejpam-7120	119	30	p	p	PROPN
ejpam-7120	119	31	and	and	CCONJ
ejpam-7120	119	32	r	r	NOUN
ejpam-7120	119	33	,	,	PUNCT
ejpam-7120	119	34	we	we	PRON
ejpam-7120	119	35	have	have	AUX
ejpam-7120	119	36	:	:	PUNCT
ejpam-7120	119	37	d2(p	d2(p	NOUN
ejpam-7120	119	38	,	,	PUNCT
ejpam-7120	119	39	r	r	NOUN
ejpam-7120	119	40	)	)	PUNCT
ejpam-7120	119	41	=	=	SYM
ejpam-7120	119	42	d2(p	d2(p	PROPN
ejpam-7120	119	43	,	,	PUNCT
ejpam-7120	119	44	q	q	NOUN
ejpam-7120	119	45	)	)	PUNCT
ejpam-7120	119	46	+	+	NUM
ejpam-7120	120	1	d2(q	d2(q	PROPN
ejpam-7120	120	2	,	,	PUNCT
ejpam-7120	120	3	r)−	r)−	PROPN
ejpam-7120	120	4	2d(p	2d(p	NUM
ejpam-7120	120	5	,	,	PUNCT
ejpam-7120	120	6	q)d(q	q)d(q	PROPN
ejpam-7120	120	7	,	,	PUNCT
ejpam-7120	120	8	r	r	NOUN
ejpam-7120	120	9	)	)	PUNCT
ejpam-7120	120	10	cos(∠pqr	cos(∠pqr	NUM
ejpam-7120	120	11	)	)	PUNCT
ejpam-7120	120	12	+	+	CCONJ
ejpam-7120	120	13	1	1	NUM
ejpam-7120	120	14	3	3	NUM
ejpam-7120	120	15	rijklx	rijklx	NOUN
ejpam-7120	120	16	iy	iy	PROPN
ejpam-7120	120	17	jxky	jxky	PROPN
ejpam-7120	120	18	l	l	PROPN
ejpam-7120	121	1	+	+	NOUN
ejpam-7120	121	2	o(d5	o(d5	NOUN
ejpam-7120	121	3	)	)	PUNCT
ejpam-7120	121	4	where	where	SCONJ
ejpam-7120	121	5	x	x	X
ejpam-7120	121	6	,	,	PUNCT
ejpam-7120	121	7	y	y	PROPN
ejpam-7120	121	8	are	be	AUX
ejpam-7120	121	9	tangent	tangent	ADJ
ejpam-7120	121	10	vectors	vector	NOUN
ejpam-7120	121	11	,	,	PUNCT
ejpam-7120	121	12	and	and	CCONJ
ejpam-7120	121	13	rijkl	rijkl	NOUN
ejpam-7120	121	14	is	be	AUX
ejpam-7120	121	15	the	the	DET
ejpam-7120	121	16	riemann	riemann	PROPN
ejpam-7120	121	17	curvature	curvature	PROPN
ejpam-7120	121	18	tensor	tensor	NOUN
ejpam-7120	121	19	.	.	PUNCT
ejpam-7120	122	1	translating	translate	VERB
ejpam-7120	122	2	this	this	PRON
ejpam-7120	122	3	to	to	ADP
ejpam-7120	122	4	our	our	PRON
ejpam-7120	122	5	mr	mr	PROPN
ejpam-7120	122	6	-	-	PUNCT
ejpam-7120	122	7	metric	metric	ADJ
ejpam-7120	122	8	context	context	NOUN
ejpam-7120	122	9	:	:	PUNCT
ejpam-7120	122	10	m(p	m(p	PROPN
ejpam-7120	122	11	,	,	PUNCT
ejpam-7120	122	12	q	q	NOUN
ejpam-7120	122	13	,	,	PUNCT
ejpam-7120	122	14	r	r	NOUN
ejpam-7120	122	15	)	)	PUNCT
ejpam-7120	122	16	=	=	SYM
ejpam-7120	123	1	3	3	NUM
ejpam-7120	123	2	2	2	NUM
ejpam-7120	123	3	[	[	PUNCT
ejpam-7120	123	4	d2(p	d2(p	PROPN
ejpam-7120	123	5	,	,	PUNCT
ejpam-7120	123	6	q	q	NOUN
ejpam-7120	123	7	)	)	PUNCT
ejpam-7120	123	8	+	+	NUM
ejpam-7120	123	9	d2(q	d2(q	PROPN
ejpam-7120	123	10	,	,	PUNCT
ejpam-7120	123	11	r	r	NOUN
ejpam-7120	123	12	)	)	PUNCT
ejpam-7120	123	13	+	+	CCONJ
ejpam-7120	124	1	d2(r	d2(r	PROPN
ejpam-7120	124	2	,	,	PUNCT
ejpam-7120	124	3	p	p	NOUN
ejpam-7120	124	4	)	)	PUNCT
ejpam-7120	124	5	]	]	PUNCT
ejpam-7120	125	1	+	+	X
ejpam-7120	125	2	o(d4	o(d4	ADV
ejpam-7120	125	3	)	)	PUNCT
ejpam-7120	125	4	m(p	m(p	PROPN
ejpam-7120	125	5	,	,	PUNCT
ejpam-7120	125	6	q	q	X
ejpam-7120	125	7	,	,	PUNCT
ejpam-7120	125	8	s	s	PART
ejpam-7120	125	9	)	)	PUNCT
ejpam-7120	126	1	+	+	ADJ
ejpam-7120	126	2	m(p	m(p	PROPN
ejpam-7120	126	3	,	,	PUNCT
ejpam-7120	126	4	s	s	X
ejpam-7120	126	5	,	,	PUNCT
ejpam-7120	126	6	r	r	NOUN
ejpam-7120	126	7	)	)	PUNCT
ejpam-7120	126	8	+	+	NOUN
ejpam-7120	126	9	m(s	m(s	PROPN
ejpam-7120	126	10	,	,	PUNCT
ejpam-7120	126	11	q	q	NOUN
ejpam-7120	126	12	,	,	PUNCT
ejpam-7120	126	13	r	r	NOUN
ejpam-7120	126	14	)	)	PUNCT
ejpam-7120	126	15	=	=	SYM
ejpam-7120	127	1	3	3	NUM
ejpam-7120	127	2	2	2	NUM
ejpam-7120	127	3	[	[	PUNCT
ejpam-7120	127	4	d2(p	d2(p	PROPN
ejpam-7120	127	5	,	,	PUNCT
ejpam-7120	127	6	q	q	NOUN
ejpam-7120	127	7	)	)	PUNCT
ejpam-7120	127	8	+	+	NUM
ejpam-7120	127	9	d2(q	d2(q	PROPN
ejpam-7120	127	10	,	,	PUNCT
ejpam-7120	127	11	s	s	PART
ejpam-7120	127	12	)	)	PUNCT
ejpam-7120	127	13	+	+	CCONJ
ejpam-7120	127	14	d2(s	d2(s	PROPN
ejpam-7120	127	15	,	,	PUNCT
ejpam-7120	127	16	p	p	NOUN
ejpam-7120	127	17	)	)	PUNCT
ejpam-7120	127	18	+	+	X
ejpam-7120	127	19	·	·	PUNCT
ejpam-7120	127	20	·	·	PUNCT
ejpam-7120	127	21	·	·	PUNCT
ejpam-7120	127	22	]	]	PUNCT
ejpam-7120	127	23	the	the	DET
ejpam-7120	127	24	curvature	curvature	NOUN
ejpam-7120	127	25	correction	correction	NOUN
ejpam-7120	127	26	appears	appear	VERB
ejpam-7120	127	27	at	at	ADP
ejpam-7120	127	28	fourth	fourth	ADJ
ejpam-7120	127	29	order	order	NOUN
ejpam-7120	127	30	.	.	PUNCT
ejpam-7120	128	1	maximizing	maximize	VERB
ejpam-7120	128	2	over	over	ADP
ejpam-7120	128	3	all	all	DET
ejpam-7120	128	4	configurations	configuration	NOUN
ejpam-7120	128	5	gives	give	VERB
ejpam-7120	128	6	:	:	PUNCT
ejpam-7120	128	7	a.	a.	NOUN
ejpam-7120	128	8	malkawi	malkawi	PROPN
ejpam-7120	128	9	,	,	PUNCT
ejpam-7120	128	10	a.	a.	PROPN
ejpam-7120	128	11	rabaiah	rabaiah	PROPN
ejpam-7120	128	12	/	/	SYM
ejpam-7120	128	13	eur	eur	PROPN
ejpam-7120	128	14	.	.	PUNCT
ejpam-7120	129	1	j.	j.	PROPN
ejpam-7120	129	2	pure	pure	PROPN
ejpam-7120	129	3	appl	appl	PROPN
ejpam-7120	129	4	.	.	PROPN
ejpam-7120	129	5	math	math	PROPN
ejpam-7120	129	6	,	,	PUNCT
ejpam-7120	129	7	18	18	NUM
ejpam-7120	129	8	(	(	PUNCT
ejpam-7120	129	9	4	4	NUM
ejpam-7120	129	10	)	)	PUNCT
ejpam-7120	129	11	(	(	PUNCT
ejpam-7120	129	12	2025	2025	NUM
ejpam-7120	129	13	)	)	PUNCT
ejpam-7120	129	14	,	,	PUNCT
ejpam-7120	129	15	7120	7120	NUM
ejpam-7120	129	16	7	7	NUM
ejpam-7120	129	17	of	of	ADP
ejpam-7120	129	18	16	16	NUM
ejpam-7120	129	19	r	r	NOUN
ejpam-7120	129	20	≥	≥	NOUN
ejpam-7120	129	21	1	1	NUM
ejpam-7120	129	22	+	+	CCONJ
ejpam-7120	129	23	1	1	NUM
ejpam-7120	129	24	4	4	NUM
ejpam-7120	129	25	max	max	PROPN
ejpam-7120	129	26	r(x	r(x	PROPN
ejpam-7120	129	27	,	,	PUNCT
ejpam-7120	129	28	y	y	PROPN
ejpam-7120	129	29	,	,	PUNCT
ejpam-7120	129	30	x	x	PROPN
ejpam-7120	129	31	,	,	PUNCT
ejpam-7120	129	32	y	y	PROPN
ejpam-7120	129	33	)	)	PUNCT
ejpam-7120	129	34	‖x‖2‖y	‖x‖2‖y	ADJ
ejpam-7120	129	35	‖2	‖2	NOUN
ejpam-7120	130	1	−	−	NOUN
ejpam-7120	131	1	〈	〈	PROPN
ejpam-7120	131	2	x	x	X
ejpam-7120	131	3	,	,	PUNCT
ejpam-7120	131	4	y	y	PROPN
ejpam-7120	131	5	〉	〉	PROPN
ejpam-7120	131	6	2	2	NUM
ejpam-7120	131	7	where	where	SCONJ
ejpam-7120	131	8	the	the	DET
ejpam-7120	131	9	maximum	maximum	NOUN
ejpam-7120	131	10	is	be	AUX
ejpam-7120	131	11	taken	take	VERB
ejpam-7120	131	12	over	over	ADP
ejpam-7120	131	13	all	all	DET
ejpam-7120	131	14	linearly	linearly	ADV
ejpam-7120	131	15	independent	independent	ADJ
ejpam-7120	131	16	tangent	tangent	ADJ
ejpam-7120	131	17	vectors	vector	NOUN
ejpam-7120	131	18	x	x	X
ejpam-7120	131	19	,	,	PUNCT
ejpam-7120	131	20	y	y	PROPN
ejpam-7120	131	21	.	.	PUNCT
ejpam-7120	132	1	lemma	lemma	PROPN
ejpam-7120	132	2	1	1	NUM
ejpam-7120	132	3	(	(	PUNCT
ejpam-7120	132	4	differential	differential	ADJ
ejpam-7120	132	5	geometric	geometric	ADJ
ejpam-7120	132	6	structure	structure	NOUN
ejpam-7120	132	7	)	)	PUNCT
ejpam-7120	132	8	.	.	PUNCT
ejpam-7120	133	1	the	the	DET
ejpam-7120	133	2	neutrosophic	neutrosophic	ADJ
ejpam-7120	133	3	statistical	statistical	ADJ
ejpam-7120	133	4	manifold	manifold	NOUN
ejpam-7120	133	5	(	(	PUNCT
ejpam-7120	133	6	p	p	X
ejpam-7120	133	7	,	,	PUNCT
ejpam-7120	133	8	m	m	PROPN
ejpam-7120	133	9	,	,	PUNCT
ejpam-7120	133	10	t	t	PROPN
ejpam-7120	133	11	,	,	PUNCT
ejpam-7120	133	12	i	i	PRON
ejpam-7120	133	13	,	,	PUNCT
ejpam-7120	133	14	f	f	X
ejpam-7120	133	15	)	)	PUNCT
ejpam-7120	133	16	inherits	inherit	VERB
ejpam-7120	133	17	a	a	DET
ejpam-7120	133	18	rich	rich	ADJ
ejpam-7120	133	19	differential	differential	ADJ
ejpam-7120	133	20	geometric	geometric	ADJ
ejpam-7120	133	21	structure	structure	NOUN
ejpam-7120	133	22	:	:	PUNCT
ejpam-7120	133	23	(	(	PUNCT
ejpam-7120	133	24	i	i	NOUN
ejpam-7120	133	25	)	)	PUNCT
ejpam-7120	133	26	connection	connection	NOUN
ejpam-7120	133	27	:	:	PUNCT
ejpam-7120	133	28	the	the	DET
ejpam-7120	133	29	α	α	NOUN
ejpam-7120	133	30	-	-	PUNCT
ejpam-7120	133	31	connection	connection	NOUN
ejpam-7120	133	32	∇(α	∇(α	PROPN
ejpam-7120	133	33	)	)	PUNCT
ejpam-7120	133	34	is	be	AUX
ejpam-7120	133	35	related	relate	VERB
ejpam-7120	133	36	to	to	ADP
ejpam-7120	133	37	the	the	DET
ejpam-7120	133	38	neutrosophic	neutrosophic	ADJ
ejpam-7120	133	39	structure	structure	NOUN
ejpam-7120	133	40	via	via	ADP
ejpam-7120	133	41	:	:	PUNCT
ejpam-7120	133	42	γ	γ	PROPN
ejpam-7120	133	43	(	(	PUNCT
ejpam-7120	133	44	α	α	NOUN
ejpam-7120	133	45	)	)	PUNCT
ejpam-7120	133	46	ij	ij	NOUN
ejpam-7120	133	47	,	,	PUNCT
ejpam-7120	133	48	k	k	PROPN
ejpam-7120	134	1	=	=	PUNCT
ejpam-7120	134	2	ep	ep	PROPN
ejpam-7120	135	1	[	[	X
ejpam-7120	135	2	∂i∂j`p	∂i∂j`p	X
ejpam-7120	135	3	·	·	PUNCT
ejpam-7120	135	4	∂k`p	∂k`p	PUNCT
ejpam-7120	136	1	]	]	X
ejpam-7120	137	1	+	+	CCONJ
ejpam-7120	137	2	1−	1−	NUM
ejpam-7120	137	3	α	α	SYM
ejpam-7120	137	4	2	2	NUM
ejpam-7120	137	5	ep	ep	PROPN
ejpam-7120	138	1	[	[	X
ejpam-7120	138	2	∂i`p	∂i`p	X
ejpam-7120	138	3	·	·	PUNCT
ejpam-7120	138	4	∂j`p	∂j`p	X
ejpam-7120	138	5	·	·	PUNCT
ejpam-7120	138	6	∂k`p	∂k`p	PUNCT
ejpam-7120	138	7	]	]	X
ejpam-7120	138	8	where	where	SCONJ
ejpam-7120	138	9	`	`	PUNCT
ejpam-7120	138	10	p	p	X
ejpam-7120	138	11	=	=	X
ejpam-7120	138	12	log	log	PROPN
ejpam-7120	138	13	p.	p.	NOUN
ejpam-7120	138	14	(	(	PUNCT
ejpam-7120	138	15	ii	ii	PROPN
ejpam-7120	138	16	)	)	PUNCT
ejpam-7120	138	17	divergence	divergence	NOUN
ejpam-7120	138	18	:	:	PUNCT
ejpam-7120	138	19	the	the	DET
ejpam-7120	138	20	jensen	jensen	PROPN
ejpam-7120	138	21	-	-	PUNCT
ejpam-7120	138	22	shannon	shannon	PROPN
ejpam-7120	138	23	divergence	divergence	NOUN
ejpam-7120	138	24	is	be	AUX
ejpam-7120	138	25	a	a	DET
ejpam-7120	138	26	symmetric	symmetric	ADJ
ejpam-7120	138	27	bregman	bregman	NOUN
ejpam-7120	138	28	divergence	divergence	NOUN
ejpam-7120	138	29	:	:	PUNCT
ejpam-7120	138	30	djs(p‖q	djs(p‖q	NOUN
ejpam-7120	138	31	)	)	PUNCT
ejpam-7120	138	32	=	=	SYM
ejpam-7120	139	1	1	1	NUM
ejpam-7120	139	2	2	2	NUM
ejpam-7120	139	3	[	[	X
ejpam-7120	139	4	dkl(p‖m	dkl(p‖m	PROPN
ejpam-7120	139	5	)	)	PUNCT
ejpam-7120	139	6	+	+	NOUN
ejpam-7120	139	7	dkl(q‖m	dkl(q‖m	NOUN
ejpam-7120	139	8	)	)	PUNCT
ejpam-7120	139	9	]	]	PUNCT
ejpam-7120	139	10	,	,	PUNCT
ejpam-7120	139	11	m	m	VERB
ejpam-7120	139	12	=	=	SYM
ejpam-7120	139	13	p+	p+	ADJ
ejpam-7120	139	14	q	q	ADJ
ejpam-7120	139	15	2	2	NUM
ejpam-7120	139	16	proof	proof	NOUN
ejpam-7120	139	17	.	.	PUNCT
ejpam-7120	140	1	connection	connection	NOUN
ejpam-7120	140	2	structure	structure	NOUN
ejpam-7120	140	3	:	:	PUNCT
ejpam-7120	140	4	the	the	DET
ejpam-7120	140	5	fisher	fisher	PROPN
ejpam-7120	140	6	-	-	PUNCT
ejpam-7120	140	7	rao	rao	NOUN
ejpam-7120	140	8	metric	metric	NOUN
ejpam-7120	140	9	is	be	AUX
ejpam-7120	140	10	:	:	PUNCT
ejpam-7120	140	11	gij(p	gij(p	ADJ
ejpam-7120	140	12	)	)	PUNCT
ejpam-7120	140	13	=	=	SYM
ejpam-7120	141	1	ep	ep	PROPN
ejpam-7120	142	1	[	[	X
ejpam-7120	142	2	∂i`p	∂i`p	X
ejpam-7120	142	3	·	·	PUNCT
ejpam-7120	142	4	∂j`p	∂j`p	X
ejpam-7120	142	5	]	]	X
ejpam-7120	142	6	the	the	DET
ejpam-7120	142	7	α	α	NOUN
ejpam-7120	142	8	-	-	PUNCT
ejpam-7120	142	9	connection	connection	NOUN
ejpam-7120	142	10	coefficients	coefficient	NOUN
ejpam-7120	142	11	are	be	AUX
ejpam-7120	142	12	:	:	PUNCT
ejpam-7120	142	13	γ	γ	X
ejpam-7120	142	14	(	(	PUNCT
ejpam-7120	142	15	α	α	NOUN
ejpam-7120	142	16	)	)	PUNCT
ejpam-7120	142	17	ij	ij	NOUN
ejpam-7120	142	18	,	,	PUNCT
ejpam-7120	142	19	k(p	k(p	PROPN
ejpam-7120	142	20	)	)	PUNCT
ejpam-7120	143	1	=	=	SYM
ejpam-7120	143	2	ep	ep	PROPN
ejpam-7120	143	3	[	[	PUNCT
ejpam-7120	143	4	(	(	PUNCT
ejpam-7120	143	5	∂i∂j`p	∂i∂j`p	NOUN
ejpam-7120	143	6	+	+	NOUN
ejpam-7120	143	7	1−	1−	NUM
ejpam-7120	143	8	α	α	NOUN
ejpam-7120	143	9	2	2	NUM
ejpam-7120	143	10	∂i`p∂j`p)∂k`p	∂i`p∂j`p)∂k`p	NOUN
ejpam-7120	143	11	]	]	PUNCT
ejpam-7120	143	12	for	for	ADP
ejpam-7120	143	13	our	our	PRON
ejpam-7120	143	14	neutrosophic	neutrosophic	ADJ
ejpam-7120	143	15	structure	structure	NOUN
ejpam-7120	143	16	,	,	PUNCT
ejpam-7120	143	17	the	the	DET
ejpam-7120	143	18	mr	mr	PROPN
ejpam-7120	143	19	-	-	PUNCT
ejpam-7120	143	20	metric	metric	ADJ
ejpam-7120	143	21	m	m	NOUN
ejpam-7120	143	22	induces	induce	VERB
ejpam-7120	143	23	a	a	DET
ejpam-7120	143	24	connection	connection	NOUN
ejpam-7120	143	25	that	that	PRON
ejpam-7120	143	26	interpolates	interpolate	VERB
ejpam-7120	143	27	between	between	ADP
ejpam-7120	143	28	the	the	DET
ejpam-7120	143	29	α	α	NOUN
ejpam-7120	143	30	=	=	SYM
ejpam-7120	143	31	−1	−1	NOUN
ejpam-7120	143	32	(	(	PUNCT
ejpam-7120	143	33	mixture	mixture	NOUN
ejpam-7120	143	34	)	)	PUNCT
ejpam-7120	143	35	and	and	CCONJ
ejpam-7120	143	36	α	α	NOUN
ejpam-7120	143	37	=	=	SYM
ejpam-7120	143	38	1	1	NUM
ejpam-7120	143	39	(	(	PUNCT
ejpam-7120	143	40	exponential	exponential	NOUN
ejpam-7120	143	41	)	)	PUNCT
ejpam-7120	143	42	connections	connection	NOUN
ejpam-7120	143	43	,	,	PUNCT
ejpam-7120	143	44	with	with	ADP
ejpam-7120	143	45	the	the	DET
ejpam-7120	143	46	indeterminacy	indeterminacy	NOUN
ejpam-7120	143	47	i	i	PRON
ejpam-7120	143	48	quantifying	quantify	VERB
ejpam-7120	143	49	the	the	DET
ejpam-7120	143	50	uncertainty	uncertainty	NOUN
ejpam-7120	143	51	in	in	ADP
ejpam-7120	143	52	this	this	DET
ejpam-7120	143	53	interpolation	interpolation	NOUN
ejpam-7120	143	54	.	.	PUNCT
ejpam-7120	144	1	divergence	divergence	NOUN
ejpam-7120	144	2	properties	property	NOUN
ejpam-7120	144	3	:	:	PUNCT
ejpam-7120	144	4	the	the	DET
ejpam-7120	144	5	jensen	jensen	PROPN
ejpam-7120	144	6	-	-	PUNCT
ejpam-7120	144	7	shannon	shannon	PROPN
ejpam-7120	144	8	divergence	divergence	NOUN
ejpam-7120	144	9	has	have	VERB
ejpam-7120	144	10	the	the	DET
ejpam-7120	144	11	key	key	ADJ
ejpam-7120	144	12	properties	property	NOUN
ejpam-7120	144	13	:	:	PUNCT
ejpam-7120	144	14	•	•	NUM
ejpam-7120	144	15	symmetry	symmetry	NOUN
ejpam-7120	144	16	:	:	PUNCT
ejpam-7120	144	17	djs(p‖q	djs(p‖q	PROPN
ejpam-7120	144	18	)	)	PUNCT
ejpam-7120	144	19	=	=	SYM
ejpam-7120	144	20	djs(q‖p	djs(q‖p	PROPN
ejpam-7120	144	21	)	)	PUNCT
ejpam-7120	144	22	•	•	NUM
ejpam-7120	144	23	positivity	positivity	NOUN
ejpam-7120	144	24	:	:	PUNCT
ejpam-7120	144	25	djs(p‖q	djs(p‖q	PROPN
ejpam-7120	144	26	)	)	PUNCT
ejpam-7120	144	27	≥	≥	NOUN
ejpam-7120	144	28	0	0	NUM
ejpam-7120	144	29	with	with	ADP
ejpam-7120	144	30	equality	equality	NOUN
ejpam-7120	144	31	iff	iff	VERB
ejpam-7120	144	32	p	p	NOUN
ejpam-7120	144	33	=	=	X
ejpam-7120	144	34	q	q	ADJ
ejpam-7120	144	35	•	•	NUM
ejpam-7120	144	36	convexity	convexity	NOUN
ejpam-7120	144	37	:	:	PUNCT
ejpam-7120	144	38	jointly	jointly	ADV
ejpam-7120	144	39	convex	convex	VERB
ejpam-7120	144	40	in	in	ADP
ejpam-7120	144	41	p	p	NOUN
ejpam-7120	144	42	and	and	CCONJ
ejpam-7120	144	43	q	q	NOUN
ejpam-7120	144	44	•	•	NUM
ejpam-7120	144	45	boundedness	boundedness	NOUN
ejpam-7120	144	46	:	:	PUNCT
ejpam-7120	144	47	0	0	NUM
ejpam-7120	144	48	≤	≤	NUM
ejpam-7120	144	49	djs(p‖q	djs(p‖q	NOUN
ejpam-7120	144	50	)	)	PUNCT
ejpam-7120	144	51	≤	≤	NUM
ejpam-7120	144	52	log	log	VERB
ejpam-7120	144	53	2	2	NUM
ejpam-7120	144	54	these	these	DET
ejpam-7120	144	55	properties	property	NOUN
ejpam-7120	144	56	ensure	ensure	VERB
ejpam-7120	144	57	the	the	DET
ejpam-7120	144	58	well	well	NOUN
ejpam-7120	144	59	-	-	PUNCT
ejpam-7120	144	60	definedness	definedness	NOUN
ejpam-7120	144	61	of	of	ADP
ejpam-7120	144	62	our	our	PRON
ejpam-7120	144	63	neutrosophic	neutrosophic	ADJ
ejpam-7120	144	64	structure	structure	NOUN
ejpam-7120	144	65	.	.	PUNCT
ejpam-7120	145	1	a.	a.	PROPN
ejpam-7120	145	2	malkawi	malkawi	PROPN
ejpam-7120	145	3	,	,	PUNCT
ejpam-7120	145	4	a.	a.	PROPN
ejpam-7120	145	5	rabaiah	rabaiah	PROPN
ejpam-7120	145	6	/	/	SYM
ejpam-7120	145	7	eur	eur	PROPN
ejpam-7120	145	8	.	.	PUNCT
ejpam-7120	146	1	j.	j.	PROPN
ejpam-7120	146	2	pure	pure	PROPN
ejpam-7120	146	3	appl	appl	PROPN
ejpam-7120	146	4	.	.	PROPN
ejpam-7120	146	5	math	math	PROPN
ejpam-7120	146	6	,	,	PUNCT
ejpam-7120	146	7	18	18	NUM
ejpam-7120	146	8	(	(	PUNCT
ejpam-7120	146	9	4	4	NUM
ejpam-7120	146	10	)	)	PUNCT
ejpam-7120	146	11	(	(	PUNCT
ejpam-7120	146	12	2025	2025	NUM
ejpam-7120	146	13	)	)	PUNCT
ejpam-7120	146	14	,	,	PUNCT
ejpam-7120	146	15	7120	7120	NUM
ejpam-7120	146	16	8	8	NUM
ejpam-7120	146	17	of	of	ADP
ejpam-7120	146	18	16	16	NUM
ejpam-7120	146	19	theorem	theorem	VERB
ejpam-7120	146	20	3	3	NUM
ejpam-7120	146	21	(	(	PUNCT
ejpam-7120	146	22	detailed	detailed	ADJ
ejpam-7120	146	23	curvature	curvature	NOUN
ejpam-7120	146	24	-	-	PUNCT
ejpam-7120	146	25	contraction	contraction	NOUN
ejpam-7120	146	26	relation	relation	NOUN
ejpam-7120	146	27	)	)	PUNCT
ejpam-7120	146	28	.	.	PUNCT
ejpam-7120	147	1	the	the	DET
ejpam-7120	147	2	contraction	contraction	NOUN
ejpam-7120	147	3	constant	constant	ADJ
ejpam-7120	147	4	r	r	NOUN
ejpam-7120	147	5	in	in	ADP
ejpam-7120	147	6	the	the	DET
ejpam-7120	147	7	nmr	nmr	NOUN
ejpam-7120	147	8	-	-	PUNCT
ejpam-7120	147	9	ms	ms	NOUN
ejpam-7120	147	10	structure	structure	NOUN
ejpam-7120	147	11	is	be	AUX
ejpam-7120	147	12	explicitly	explicitly	ADV
ejpam-7120	147	13	related	relate	VERB
ejpam-7120	147	14	to	to	ADP
ejpam-7120	147	15	the	the	DET
ejpam-7120	147	16	curvature	curvature	NOUN
ejpam-7120	147	17	of	of	ADP
ejpam-7120	147	18	the	the	DET
ejpam-7120	147	19	statistical	statistical	ADJ
ejpam-7120	147	20	manifold	manifold	NOUN
ejpam-7120	147	21	:	:	PUNCT
ejpam-7120	148	1	r	r	NOUN
ejpam-7120	148	2	=	=	SYM
ejpam-7120	148	3	1	1	NUM
ejpam-7120	148	4	+	+	CCONJ
ejpam-7120	148	5	1	1	NUM
ejpam-7120	148	6	2	2	NUM
ejpam-7120	148	7	max	max	NOUN
ejpam-7120	148	8	p∈p	p∈p	PROPN
ejpam-7120	148	9	x	x	NOUN
ejpam-7120	148	10	,	,	PUNCT
ejpam-7120	148	11	y	y	PROPN
ejpam-7120	148	12	∈tpp	∈tpp	PROPN
ejpam-7120	148	13	r(x	r(x	PROPN
ejpam-7120	148	14	,	,	PUNCT
ejpam-7120	148	15	y	y	PROPN
ejpam-7120	148	16	,	,	PUNCT
ejpam-7120	148	17	x	x	PROPN
ejpam-7120	148	18	,	,	PUNCT
ejpam-7120	148	19	y	y	PROPN
ejpam-7120	148	20	)	)	PUNCT
ejpam-7120	149	1	+	+	PUNCT
ejpam-7120	149	2	r(x	r(x	PROPN
ejpam-7120	149	3	,	,	PUNCT
ejpam-7120	149	4	y	y	PROPN
ejpam-7120	149	5	,	,	PUNCT
ejpam-7120	149	6	y	y	PROPN
ejpam-7120	149	7	,	,	PUNCT
ejpam-7120	149	8	x	x	NOUN
ejpam-7120	149	9	)	)	PUNCT
ejpam-7120	149	10	‖x‖2‖y	‖x‖2‖y	ADJ
ejpam-7120	149	11	‖2	‖2	NOUN
ejpam-7120	149	12	−	−	NOUN
ejpam-7120	150	1	〈	〈	PROPN
ejpam-7120	150	2	x	x	X
ejpam-7120	150	3	,	,	PUNCT
ejpam-7120	150	4	y	y	PROPN
ejpam-7120	150	5	〉	〉	PROPN
ejpam-7120	150	6	2	2	NUM
ejpam-7120	150	7	+	+	NUM
ejpam-7120	150	8	ε(i	ε(i	NOUN
ejpam-7120	150	9	)	)	PUNCT
ejpam-7120	150	10	where	where	SCONJ
ejpam-7120	150	11	ε(i	ε(i	NOUN
ejpam-7120	150	12	)	)	PUNCT
ejpam-7120	150	13	is	be	AUX
ejpam-7120	150	14	a	a	DET
ejpam-7120	150	15	correction	correction	NOUN
ejpam-7120	150	16	term	term	NOUN
ejpam-7120	150	17	depending	depend	VERB
ejpam-7120	150	18	on	on	ADP
ejpam-7120	150	19	the	the	DET
ejpam-7120	150	20	indeterminacy	indeterminacy	NOUN
ejpam-7120	150	21	:	:	PUNCT
ejpam-7120	150	22	ε(i	ε(i	NUM
ejpam-7120	150	23	)	)	PUNCT
ejpam-7120	150	24	=	=	SYM
ejpam-7120	150	25	1	1	NUM
ejpam-7120	150	26	4	4	NUM
ejpam-7120	150	27	ep	ep	NOUN
ejpam-7120	150	28	,	,	PUNCT
ejpam-7120	150	29	q	q	NOUN
ejpam-7120	150	30	,	,	PUNCT
ejpam-7120	150	31	r[i(p	r[i(p	NOUN
ejpam-7120	150	32	,	,	PUNCT
ejpam-7120	150	33	q	q	X
ejpam-7120	150	34	,	,	PUNCT
ejpam-7120	150	35	γ	γ	NOUN
ejpam-7120	150	36	)	)	PUNCT
ejpam-7120	150	37	+	+	CCONJ
ejpam-7120	150	38	i(q	i(q	NOUN
ejpam-7120	150	39	,	,	PUNCT
ejpam-7120	150	40	r	r	NOUN
ejpam-7120	150	41	,	,	PUNCT
ejpam-7120	150	42	γ	γ	NOUN
ejpam-7120	150	43	)	)	PUNCT
ejpam-7120	150	44	+	+	SYM
ejpam-7120	150	45	i(r	i(r	PROPN
ejpam-7120	150	46	,	,	PUNCT
ejpam-7120	150	47	p	p	X
ejpam-7120	150	48	,	,	PUNCT
ejpam-7120	150	49	γ	γ	NOUN
ejpam-7120	150	50	)	)	PUNCT
ejpam-7120	150	51	]	]	PUNCT
ejpam-7120	150	52	proof	proof	NOUN
ejpam-7120	150	53	.	.	PUNCT
ejpam-7120	151	1	we	we	PRON
ejpam-7120	151	2	analyze	analyze	VERB
ejpam-7120	151	3	the	the	DET
ejpam-7120	151	4	curvature	curvature	NOUN
ejpam-7120	151	5	effects	effect	NOUN
ejpam-7120	151	6	through	through	ADP
ejpam-7120	151	7	several	several	ADJ
ejpam-7120	151	8	steps	step	NOUN
ejpam-7120	151	9	:	:	PUNCT
ejpam-7120	151	10	step	step	NOUN
ejpam-7120	151	11	1	1	NUM
ejpam-7120	151	12	:	:	PUNCT
ejpam-7120	151	13	riemannian	riemannian	ADJ
ejpam-7120	151	14	geometry	geometry	NOUN
ejpam-7120	151	15	framework	framework	NOUN
ejpam-7120	151	16	consider	consider	VERB
ejpam-7120	151	17	the	the	DET
ejpam-7120	151	18	statistical	statistical	ADJ
ejpam-7120	151	19	manifold	manifold	NOUN
ejpam-7120	151	20	as	as	ADP
ejpam-7120	151	21	a	a	DET
ejpam-7120	151	22	riemannian	riemannian	ADJ
ejpam-7120	151	23	manifold	manifold	NOUN
ejpam-7120	151	24	(	(	PUNCT
ejpam-7120	151	25	p	p	X
ejpam-7120	151	26	,	,	PUNCT
ejpam-7120	151	27	g	g	NOUN
ejpam-7120	151	28	)	)	PUNCT
ejpam-7120	151	29	with	with	ADP
ejpam-7120	151	30	fisher	fisher	PROPN
ejpam-7120	151	31	-	-	PUNCT
ejpam-7120	151	32	rao	rao	NOUN
ejpam-7120	151	33	metric	metric	NOUN
ejpam-7120	151	34	.	.	PUNCT
ejpam-7120	152	1	the	the	DET
ejpam-7120	152	2	sectional	sectional	ADJ
ejpam-7120	152	3	curvature	curvature	NOUN
ejpam-7120	152	4	for	for	ADP
ejpam-7120	152	5	a	a	DET
ejpam-7120	152	6	2	2	NUM
ejpam-7120	152	7	-	-	PUNCT
ejpam-7120	152	8	plane	plane	NOUN
ejpam-7120	152	9	spanned	span	VERB
ejpam-7120	152	10	by	by	ADP
ejpam-7120	152	11	orthonormal	orthonormal	ADJ
ejpam-7120	152	12	vectors	vector	NOUN
ejpam-7120	152	13	x	x	PRON
ejpam-7120	152	14	,	,	PUNCT
ejpam-7120	152	15	y	y	PROPN
ejpam-7120	152	16	is	be	AUX
ejpam-7120	152	17	:	:	PUNCT
ejpam-7120	152	18	k(x	k(x	PROPN
ejpam-7120	152	19	,	,	PUNCT
ejpam-7120	152	20	y	y	PROPN
ejpam-7120	152	21	)	)	PUNCT
ejpam-7120	152	22	=	=	PUNCT
ejpam-7120	153	1	r(x	r(x	PROPN
ejpam-7120	153	2	,	,	PUNCT
ejpam-7120	153	3	y	y	PROPN
ejpam-7120	153	4	,	,	PUNCT
ejpam-7120	153	5	x	x	NOUN
ejpam-7120	153	6	,	,	PUNCT
ejpam-7120	153	7	y	y	PROPN
ejpam-7120	153	8	)	)	PUNCT
ejpam-7120	153	9	step	step	NOUN
ejpam-7120	153	10	2	2	NUM
ejpam-7120	153	11	:	:	PUNCT
ejpam-7120	153	12	mr	mr	ADJ
ejpam-7120	153	13	-	-	PUNCT
ejpam-7120	153	14	metric	metric	ADJ
ejpam-7120	153	15	expansion	expansion	NOUN
ejpam-7120	153	16	for	for	ADP
ejpam-7120	153	17	small	small	ADJ
ejpam-7120	153	18	geodesic	geodesic	ADJ
ejpam-7120	153	19	triangles	triangle	NOUN
ejpam-7120	153	20	,	,	PUNCT
ejpam-7120	153	21	expand	expand	AUX
ejpam-7120	153	22	m	m	VERB
ejpam-7120	153	23	using	use	VERB
ejpam-7120	153	24	the	the	DET
ejpam-7120	153	25	metric	metric	ADJ
ejpam-7120	153	26	and	and	CCONJ
ejpam-7120	153	27	curvature	curvature	NOUN
ejpam-7120	153	28	:	:	PUNCT
ejpam-7120	153	29	m(p	m(p	ADJ
ejpam-7120	153	30	,	,	PUNCT
ejpam-7120	153	31	q	q	NOUN
ejpam-7120	153	32	,	,	PUNCT
ejpam-7120	153	33	r	r	NOUN
ejpam-7120	153	34	)	)	PUNCT
ejpam-7120	153	35	=	=	SYM
ejpam-7120	154	1	3	3	NUM
ejpam-7120	154	2	2	2	NUM
ejpam-7120	154	3	[	[	PUNCT
ejpam-7120	154	4	d2(p	d2(p	PROPN
ejpam-7120	154	5	,	,	PUNCT
ejpam-7120	154	6	q	q	NOUN
ejpam-7120	154	7	)	)	PUNCT
ejpam-7120	154	8	+	+	NUM
ejpam-7120	154	9	d2(q	d2(q	PROPN
ejpam-7120	154	10	,	,	PUNCT
ejpam-7120	154	11	r	r	NOUN
ejpam-7120	154	12	)	)	PUNCT
ejpam-7120	154	13	+	+	CCONJ
ejpam-7120	155	1	d2(r	d2(r	PROPN
ejpam-7120	155	2	,	,	PUNCT
ejpam-7120	155	3	p	p	NOUN
ejpam-7120	155	4	)	)	PUNCT
ejpam-7120	155	5	]	]	PUNCT
ejpam-7120	156	1	−	−	PROPN
ejpam-7120	156	2	1	1	NUM
ejpam-7120	156	3	8	8	NUM
ejpam-7120	156	4	[	[	X
ejpam-7120	156	5	k(x	k(x	PROPN
ejpam-7120	156	6	,	,	PUNCT
ejpam-7120	156	7	y	y	PROPN
ejpam-7120	156	8	)	)	PUNCT
ejpam-7120	157	1	+	+	PROPN
ejpam-7120	157	2	k(y	k(y	PROPN
ejpam-7120	157	3	,	,	PUNCT
ejpam-7120	157	4	z	z	NOUN
ejpam-7120	157	5	)	)	PUNCT
ejpam-7120	158	1	+	+	ADP
ejpam-7120	158	2	k(z	k(z	PROPN
ejpam-7120	158	3	,	,	PUNCT
ejpam-7120	158	4	x	x	NOUN
ejpam-7120	158	5	)	)	PUNCT
ejpam-7120	158	6	]	]	PUNCT
ejpam-7120	158	7	·	·	PUNCT
ejpam-7120	158	8	area2	area2	X
ejpam-7120	158	9	+	+	ADV
ejpam-7120	158	10	o(d6	o(d6	ADV
ejpam-7120	158	11	)	)	PUNCT
ejpam-7120	158	12	where	where	SCONJ
ejpam-7120	158	13	x	x	X
ejpam-7120	158	14	,	,	PUNCT
ejpam-7120	158	15	y	y	PROPN
ejpam-7120	158	16	,	,	PUNCT
ejpam-7120	158	17	z	z	PROPN
ejpam-7120	158	18	are	be	AUX
ejpam-7120	158	19	tangent	tangent	ADJ
ejpam-7120	158	20	vectors	vector	NOUN
ejpam-7120	158	21	along	along	ADP
ejpam-7120	158	22	the	the	DET
ejpam-7120	158	23	triangle	triangle	NOUN
ejpam-7120	158	24	edges	edge	NOUN
ejpam-7120	158	25	.	.	PUNCT
ejpam-7120	159	1	step	step	NOUN
ejpam-7120	159	2	3	3	NUM
ejpam-7120	159	3	:	:	PUNCT
ejpam-7120	159	4	worst	bad	ADJ
ejpam-7120	159	5	-	-	PUNCT
ejpam-7120	159	6	case	case	NOUN
ejpam-7120	159	7	contraction	contraction	NOUN
ejpam-7120	160	1	the	the	DET
ejpam-7120	160	2	contraction	contraction	NOUN
ejpam-7120	160	3	inequality	inequality	NOUN
ejpam-7120	160	4	becomes	become	VERB
ejpam-7120	160	5	tightest	tight	ADJ
ejpam-7120	160	6	for	for	ADP
ejpam-7120	160	7	triangles	triangle	NOUN
ejpam-7120	160	8	maximizing	maximize	VERB
ejpam-7120	160	9	the	the	DET
ejpam-7120	160	10	curvature	curvature	NOUN
ejpam-7120	160	11	terms	term	NOUN
ejpam-7120	160	12	.	.	PUNCT
ejpam-7120	161	1	the	the	DET
ejpam-7120	161	2	worst	bad	ADJ
ejpam-7120	161	3	-	-	PUNCT
ejpam-7120	161	4	case	case	NOUN
ejpam-7120	161	5	ratio	ratio	NOUN
ejpam-7120	161	6	is	be	AUX
ejpam-7120	161	7	:	:	PUNCT
ejpam-7120	161	8	m(p	m(p	ADJ
ejpam-7120	161	9	,	,	PUNCT
ejpam-7120	161	10	q	q	NOUN
ejpam-7120	161	11	,	,	PUNCT
ejpam-7120	161	12	r	r	NOUN
ejpam-7120	161	13	)	)	PUNCT
ejpam-7120	161	14	m(p	m(p	PROPN
ejpam-7120	161	15	,	,	PUNCT
ejpam-7120	161	16	q	q	X
ejpam-7120	161	17	,	,	PUNCT
ejpam-7120	161	18	s	s	PART
ejpam-7120	161	19	)	)	PUNCT
ejpam-7120	162	1	+	+	ADJ
ejpam-7120	162	2	m(p	m(p	PROPN
ejpam-7120	162	3	,	,	PUNCT
ejpam-7120	162	4	s	s	X
ejpam-7120	162	5	,	,	PUNCT
ejpam-7120	162	6	r	r	NOUN
ejpam-7120	162	7	)	)	PUNCT
ejpam-7120	162	8	+	+	NOUN
ejpam-7120	162	9	m(s	m(s	PROPN
ejpam-7120	162	10	,	,	PUNCT
ejpam-7120	162	11	q	q	NOUN
ejpam-7120	162	12	,	,	PUNCT
ejpam-7120	162	13	r	r	NOUN
ejpam-7120	162	14	)	)	PUNCT
ejpam-7120	162	15	≤	≤	NOUN
ejpam-7120	162	16	1	1	NUM
ejpam-7120	162	17	+	+	CCONJ
ejpam-7120	162	18	1	1	NUM
ejpam-7120	162	19	2	2	NUM
ejpam-7120	162	20	maxk	maxk	NOUN
ejpam-7120	162	21	+	+	NOUN
ejpam-7120	162	22	o(d2	o(d2	NOUN
ejpam-7120	162	23	)	)	PUNCT
ejpam-7120	162	24	taking	take	VERB
ejpam-7120	162	25	the	the	DET
ejpam-7120	162	26	supremum	supremum	ADJ
ejpam-7120	162	27	over	over	ADP
ejpam-7120	162	28	all	all	DET
ejpam-7120	162	29	configurations	configuration	NOUN
ejpam-7120	162	30	gives	give	VERB
ejpam-7120	162	31	the	the	DET
ejpam-7120	162	32	stated	state	VERB
ejpam-7120	162	33	bound	bind	VERB
ejpam-7120	162	34	.	.	PUNCT
ejpam-7120	163	1	step	step	NOUN
ejpam-7120	163	2	4	4	NUM
ejpam-7120	163	3	:	:	PUNCT
ejpam-7120	163	4	indeterminacy	indeterminacy	NOUN
ejpam-7120	163	5	correction	correction	NOUN
ejpam-7120	163	6	the	the	DET
ejpam-7120	163	7	neutrosophic	neutrosophic	ADJ
ejpam-7120	163	8	indeterminacy	indeterminacy	NOUN
ejpam-7120	163	9	i	i	PRON
ejpam-7120	163	10	introduces	introduce	VERB
ejpam-7120	163	11	additional	additional	ADJ
ejpam-7120	163	12	uncertainty	uncertainty	NOUN
ejpam-7120	163	13	in	in	ADP
ejpam-7120	163	14	the	the	DET
ejpam-7120	163	15	metric	metric	ADJ
ejpam-7120	163	16	relations	relation	NOUN
ejpam-7120	163	17	.	.	PUNCT
ejpam-7120	164	1	this	this	PRON
ejpam-7120	164	2	can	can	AUX
ejpam-7120	164	3	be	be	AUX
ejpam-7120	164	4	modeled	model	VERB
ejpam-7120	164	5	as	as	ADP
ejpam-7120	164	6	a	a	DET
ejpam-7120	164	7	stochastic	stochastic	ADJ
ejpam-7120	164	8	correction	correction	NOUN
ejpam-7120	164	9	to	to	ADP
ejpam-7120	164	10	the	the	DET
ejpam-7120	164	11	curvature	curvature	NOUN
ejpam-7120	164	12	:	:	PUNCT
ejpam-7120	164	13	r̃	r̃	PROPN
ejpam-7120	164	14	=	=	SYM
ejpam-7120	164	15	r+	r+	NOUN
ejpam-7120	164	16	δr	δr	ADP
ejpam-7120	164	17	,	,	PUNCT
ejpam-7120	164	18	‖δr‖	‖δr‖	ADJ
ejpam-7120	164	19	∝	∝	PROPN
ejpam-7120	164	20	e[i	e[i	PROPN
ejpam-7120	164	21	]	]	PUNCT
ejpam-7120	164	22	this	this	PRON
ejpam-7120	164	23	leads	lead	VERB
ejpam-7120	164	24	to	to	ADP
ejpam-7120	164	25	the	the	DET
ejpam-7120	164	26	ε(i	ε(i	NOUN
ejpam-7120	164	27	)	)	PUNCT
ejpam-7120	164	28	correction	correction	NOUN
ejpam-7120	164	29	term	term	NOUN
ejpam-7120	164	30	,	,	PUNCT
ejpam-7120	164	31	which	which	PRON
ejpam-7120	164	32	quantifies	quantify	VERB
ejpam-7120	164	33	how	how	SCONJ
ejpam-7120	164	34	epistemic	epistemic	ADJ
ejpam-7120	164	35	uncertainty	uncertainty	NOUN
ejpam-7120	164	36	affects	affect	VERB
ejpam-7120	164	37	the	the	DET
ejpam-7120	164	38	geometric	geometric	ADJ
ejpam-7120	164	39	structure	structure	NOUN
ejpam-7120	164	40	.	.	PUNCT
ejpam-7120	165	1	a.	a.	PROPN
ejpam-7120	165	2	malkawi	malkawi	PROPN
ejpam-7120	165	3	,	,	PUNCT
ejpam-7120	165	4	a.	a.	PROPN
ejpam-7120	165	5	rabaiah	rabaiah	PROPN
ejpam-7120	165	6	/	/	SYM
ejpam-7120	165	7	eur	eur	PROPN
ejpam-7120	165	8	.	.	PUNCT
ejpam-7120	166	1	j.	j.	PROPN
ejpam-7120	166	2	pure	pure	PROPN
ejpam-7120	166	3	appl	appl	PROPN
ejpam-7120	166	4	.	.	PROPN
ejpam-7120	166	5	math	math	PROPN
ejpam-7120	166	6	,	,	PUNCT
ejpam-7120	166	7	18	18	NUM
ejpam-7120	166	8	(	(	PUNCT
ejpam-7120	166	9	4	4	NUM
ejpam-7120	166	10	)	)	PUNCT
ejpam-7120	166	11	(	(	PUNCT
ejpam-7120	166	12	2025	2025	NUM
ejpam-7120	166	13	)	)	PUNCT
ejpam-7120	166	14	,	,	PUNCT
ejpam-7120	166	15	7120	7120	NUM
ejpam-7120	166	16	9	9	NUM
ejpam-7120	166	17	of	of	ADP
ejpam-7120	166	18	16	16	NUM
ejpam-7120	166	19	3	3	NUM
ejpam-7120	166	20	.	.	PUNCT
ejpam-7120	166	21	applications	application	NOUN
ejpam-7120	166	22	and	and	CCONJ
ejpam-7120	166	23	examples	example	NOUN
ejpam-7120	166	24	having	having	AUX
ejpam-7120	166	25	established	establish	VERB
ejpam-7120	166	26	the	the	DET
ejpam-7120	166	27	theoretical	theoretical	ADJ
ejpam-7120	166	28	foundations	foundation	NOUN
ejpam-7120	166	29	of	of	ADP
ejpam-7120	166	30	neutrosophic	neutrosophic	ADJ
ejpam-7120	166	31	statistical	statistical	ADJ
ejpam-7120	166	32	manifolds	manifold	NOUN
ejpam-7120	166	33	,	,	PUNCT
ejpam-7120	166	34	we	we	PRON
ejpam-7120	166	35	now	now	ADV
ejpam-7120	166	36	turn	turn	VERB
ejpam-7120	166	37	to	to	ADP
ejpam-7120	166	38	their	their	PRON
ejpam-7120	166	39	practical	practical	ADJ
ejpam-7120	166	40	implications	implication	NOUN
ejpam-7120	166	41	.	.	PUNCT
ejpam-7120	167	1	the	the	DET
ejpam-7120	167	2	following	follow	VERB
ejpam-7120	167	3	section	section	NOUN
ejpam-7120	167	4	provides	provide	VERB
ejpam-7120	167	5	detailed	detailed	ADJ
ejpam-7120	167	6	examples	example	NOUN
ejpam-7120	167	7	and	and	CCONJ
ejpam-7120	167	8	applications	application	NOUN
ejpam-7120	167	9	across	across	ADP
ejpam-7120	167	10	a	a	DET
ejpam-7120	167	11	range	range	NOUN
ejpam-7120	167	12	of	of	ADP
ejpam-7120	167	13	domains	domain	NOUN
ejpam-7120	167	14	.	.	PUNCT
ejpam-7120	168	1	we	we	PRON
ejpam-7120	168	2	explore	explore	VERB
ejpam-7120	168	3	gaussian	gaussian	ADJ
ejpam-7120	168	4	and	and	CCONJ
ejpam-7120	168	5	categorical	categorical	ADJ
ejpam-7120	168	6	statistical	statistical	ADJ
ejpam-7120	168	7	manifolds	manifold	NOUN
ejpam-7120	168	8	,	,	PUNCT
ejpam-7120	168	9	demonstrate	demonstrate	VERB
ejpam-7120	168	10	how	how	SCONJ
ejpam-7120	168	11	the	the	DET
ejpam-7120	168	12	neutrosophic	neutrosophic	ADJ
ejpam-7120	168	13	structure	structure	NOUN
ejpam-7120	168	14	enhances	enhance	VERB
ejpam-7120	168	15	model	model	NOUN
ejpam-7120	168	16	selection	selection	NOUN
ejpam-7120	168	17	and	and	CCONJ
ejpam-7120	168	18	hypothesis	hypothesis	NOUN
ejpam-7120	168	19	testing	testing	NOUN
ejpam-7120	168	20	,	,	PUNCT
ejpam-7120	168	21	and	and	CCONJ
ejpam-7120	168	22	illustrate	illustrate	VERB
ejpam-7120	168	23	its	its	PRON
ejpam-7120	168	24	utility	utility	NOUN
ejpam-7120	168	25	in	in	ADP
ejpam-7120	168	26	geometric	geometric	ADJ
ejpam-7120	168	27	machine	machine	NOUN
ejpam-7120	168	28	learning	learning	NOUN
ejpam-7120	168	29	and	and	CCONJ
ejpam-7120	168	30	quantum	quantum	ADJ
ejpam-7120	168	31	information	information	NOUN
ejpam-7120	168	32	geometry	geometry	NOUN
ejpam-7120	168	33	.	.	PUNCT
ejpam-7120	169	1	each	each	DET
ejpam-7120	169	2	example	example	NOUN
ejpam-7120	169	3	includes	include	VERB
ejpam-7120	169	4	explicit	explicit	ADJ
ejpam-7120	169	5	computations	computation	NOUN
ejpam-7120	169	6	and	and	CCONJ
ejpam-7120	169	7	visualizations	visualization	NOUN
ejpam-7120	169	8	to	to	PART
ejpam-7120	169	9	aid	aid	VERB
ejpam-7120	169	10	intuition	intuition	NOUN
ejpam-7120	169	11	and	and	CCONJ
ejpam-7120	169	12	demonstrate	demonstrate	VERB
ejpam-7120	169	13	applicability	applicability	NOUN
ejpam-7120	169	14	.	.	PUNCT
ejpam-7120	170	1	3.1	3.1	NUM
ejpam-7120	170	2	.	.	PUNCT
ejpam-7120	171	1	gaussian	gaussian	ADJ
ejpam-7120	171	2	statistical	statistical	ADJ
ejpam-7120	171	3	manifold	manifold	ADJ
ejpam-7120	171	4	example	example	NOUN
ejpam-7120	171	5	1	1	NUM
ejpam-7120	171	6	(	(	PUNCT
ejpam-7120	171	7	univariate	univariate	ADJ
ejpam-7120	171	8	gaussian	gaussian	ADJ
ejpam-7120	171	9	distributions	distribution	NOUN
ejpam-7120	171	10	)	)	PUNCT
ejpam-7120	171	11	.	.	PUNCT
ejpam-7120	172	1	consider	consider	VERB
ejpam-7120	172	2	the	the	DET
ejpam-7120	172	3	family	family	NOUN
ejpam-7120	172	4	of	of	ADP
ejpam-7120	172	5	univariate	univariate	ADJ
ejpam-7120	172	6	gaussian	gaussian	ADJ
ejpam-7120	172	7	distributions	distribution	NOUN
ejpam-7120	172	8	parameterized	parameterize	VERB
ejpam-7120	172	9	by	by	ADP
ejpam-7120	172	10	θ	θ	PROPN
ejpam-7120	172	11	=	=	SYM
ejpam-7120	172	12	(	(	PUNCT
ejpam-7120	172	13	µ	µ	X
ejpam-7120	172	14	,	,	PUNCT
ejpam-7120	172	15	σ	σ	PROPN
ejpam-7120	172	16	):	):	PUNCT
ejpam-7120	172	17	p(x;µ	p(x;µ	PROPN
ejpam-7120	172	18	,	,	PUNCT
ejpam-7120	172	19	σ	σ	NOUN
ejpam-7120	172	20	)	)	PUNCT
ejpam-7120	172	21	=	=	SYM
ejpam-7120	172	22	1√	1√	NUM
ejpam-7120	172	23	2πσ	2πσ	ADJ
ejpam-7120	172	24	exp	exp	NOUN
ejpam-7120	172	25	(	(	PUNCT
ejpam-7120	172	26	−(x−	−(x−	NOUN
ejpam-7120	172	27	µ)2	µ)2	NOUN
ejpam-7120	172	28	2σ2	2σ2	NUM
ejpam-7120	172	29	)	)	PUNCT
ejpam-7120	172	30	.	.	PUNCT
ejpam-7120	173	1	•	•	NUM
ejpam-7120	173	2	fisher	fisher	PROPN
ejpam-7120	173	3	–	–	PUNCT
ejpam-7120	173	4	rao	rao	NOUN
ejpam-7120	173	5	metric	metric	NOUN
ejpam-7120	173	6	:	:	PUNCT
ejpam-7120	173	7	the	the	DET
ejpam-7120	173	8	metric	metric	ADJ
ejpam-7120	173	9	tensor	tensor	NOUN
ejpam-7120	173	10	in	in	ADP
ejpam-7120	173	11	coordinates	coordinate	NOUN
ejpam-7120	173	12	(	(	PUNCT
ejpam-7120	173	13	µ	µ	NUM
ejpam-7120	173	14	,	,	PUNCT
ejpam-7120	173	15	σ	σ	PROPN
ejpam-7120	173	16	)	)	PUNCT
ejpam-7120	173	17	is	be	AUX
ejpam-7120	173	18	:	:	PUNCT
ejpam-7120	173	19	ds2	ds2	PROPN
ejpam-7120	173	20	=	=	PUNCT
ejpam-7120	173	21	gµµdµ	gµµdµ	NOUN
ejpam-7120	173	22	2	2	NUM
ejpam-7120	174	1	+	+	SYM
ejpam-7120	174	2	2gµσdµdσ	2gµσdµdσ	NUM
ejpam-7120	174	3	+	+	NUM
ejpam-7120	174	4	gσσdσ	gσσdσ	NOUN
ejpam-7120	174	5	2	2	NUM
ejpam-7120	174	6	=	=	SYM
ejpam-7120	174	7	1	1	NUM
ejpam-7120	174	8	σ2	σ2	NOUN
ejpam-7120	174	9	dµ2	dµ2	NOUN
ejpam-7120	174	10	+	+	CCONJ
ejpam-7120	174	11	2	2	NUM
ejpam-7120	174	12	σ2	σ2	NOUN
ejpam-7120	174	13	dσ2	dσ2	PROPN
ejpam-7120	174	14	.	.	PUNCT
ejpam-7120	175	1	this	this	PRON
ejpam-7120	175	2	induces	induce	VERB
ejpam-7120	175	3	a	a	DET
ejpam-7120	175	4	hyperbolic	hyperbolic	ADJ
ejpam-7120	175	5	geometry	geometry	NOUN
ejpam-7120	175	6	on	on	ADP
ejpam-7120	175	7	the	the	DET
ejpam-7120	175	8	half	half	ADJ
ejpam-7120	175	9	-	-	PUNCT
ejpam-7120	175	10	plane	plane	NOUN
ejpam-7120	175	11	(	(	PUNCT
ejpam-7120	175	12	µ	µ	X
ejpam-7120	175	13	,	,	PUNCT
ejpam-7120	175	14	σ	σ	NOUN
ejpam-7120	175	15	)	)	PUNCT
ejpam-7120	175	16	∈	∈	PROPN
ejpam-7120	175	17	r×	r×	NOUN
ejpam-7120	175	18	(	(	PUNCT
ejpam-7120	175	19	0,∞	0,∞	NUM
ejpam-7120	175	20	)	)	PUNCT
ejpam-7120	175	21	.	.	PUNCT
ejpam-7120	176	1	•	•	NUM
ejpam-7120	176	2	neutrosophic	neutrosophic	ADJ
ejpam-7120	176	3	mr	mr	PROPN
ejpam-7120	176	4	-	-	PUNCT
ejpam-7120	176	5	metric	metric	NOUN
ejpam-7120	176	6	:	:	PUNCT
ejpam-7120	176	7	for	for	ADP
ejpam-7120	176	8	three	three	NUM
ejpam-7120	176	9	gaussians	gaussian	NOUN
ejpam-7120	176	10	p	p	X
ejpam-7120	176	11	,	,	PUNCT
ejpam-7120	176	12	q	q	ADJ
ejpam-7120	176	13	,	,	PUNCT
ejpam-7120	176	14	r	r	NOUN
ejpam-7120	176	15	,	,	PUNCT
ejpam-7120	176	16	we	we	PRON
ejpam-7120	176	17	compute	compute	VERB
ejpam-7120	176	18	:	:	PUNCT
ejpam-7120	176	19	m(p	m(p	PROPN
ejpam-7120	176	20	,	,	PUNCT
ejpam-7120	176	21	q	q	NOUN
ejpam-7120	176	22	,	,	PUNCT
ejpam-7120	176	23	r	r	NOUN
ejpam-7120	176	24	)	)	PUNCT
ejpam-7120	176	25	=	=	SYM
ejpam-7120	176	26	djs(p‖q	djs(p‖q	NOUN
ejpam-7120	176	27	)	)	PUNCT
ejpam-7120	177	1	+	+	NOUN
ejpam-7120	177	2	djs(q‖r	djs(q‖r	NOUN
ejpam-7120	177	3	)	)	PUNCT
ejpam-7120	177	4	+	+	NOUN
ejpam-7120	177	5	djs(r‖p	djs(r‖p	NUM
ejpam-7120	177	6	)	)	PUNCT
ejpam-7120	177	7	.	.	PUNCT
ejpam-7120	178	1	for	for	ADP
ejpam-7120	178	2	infinitesimally	infinitesimally	ADV
ejpam-7120	178	3	close	close	ADJ
ejpam-7120	178	4	distributions	distribution	NOUN
ejpam-7120	178	5	p(µ	p(µ	PROPN
ejpam-7120	178	6	,	,	PUNCT
ejpam-7120	178	7	σ	σ	PROPN
ejpam-7120	178	8	)	)	PUNCT
ejpam-7120	178	9	,	,	PUNCT
ejpam-7120	178	10	q(µ+dµ	q(µ+dµ	NOUN
ejpam-7120	178	11	,	,	PUNCT
ejpam-7120	178	12	σ+dσ	σ+dσ	PROPN
ejpam-7120	178	13	)	)	PUNCT
ejpam-7120	178	14	,	,	PUNCT
ejpam-7120	178	15	r(µ+dµ′	r(µ+dµ′	NOUN
ejpam-7120	178	16	,	,	PUNCT
ejpam-7120	178	17	σ+dσ′	σ+dσ′	PROPN
ejpam-7120	178	18	)	)	PUNCT
ejpam-7120	178	19	,	,	PUNCT
ejpam-7120	178	20	a	a	DET
ejpam-7120	178	21	second	second	ADJ
ejpam-7120	178	22	-	-	PUNCT
ejpam-7120	178	23	order	order	NOUN
ejpam-7120	178	24	expansion	expansion	NOUN
ejpam-7120	178	25	yields	yield	NOUN
ejpam-7120	178	26	:	:	PUNCT
ejpam-7120	178	27	m(p	m(p	PROPN
ejpam-7120	178	28	,	,	PUNCT
ejpam-7120	178	29	q	q	NOUN
ejpam-7120	178	30	,	,	PUNCT
ejpam-7120	178	31	r	r	NOUN
ejpam-7120	178	32	)	)	PUNCT
ejpam-7120	178	33	≈	≈	NOUN
ejpam-7120	178	34	1	1	NUM
ejpam-7120	178	35	4	4	NUM
ejpam-7120	178	36	[	[	PUNCT
ejpam-7120	178	37	gijdθ	gijdθ	NOUN
ejpam-7120	178	38	idθj	idθj	VERB
ejpam-7120	178	39	+	+	CCONJ
ejpam-7120	178	40	gijdφ	gijdφ	PROPN
ejpam-7120	178	41	idφj	idφj	NOUN
ejpam-7120	178	42	+	+	CCONJ
ejpam-7120	178	43	1	1	NUM
ejpam-7120	178	44	2	2	NUM
ejpam-7120	178	45	gij(dθ	gij(dθ	VERB
ejpam-7120	178	46	i	i	PRON
ejpam-7120	178	47	−	−	PUNCT
ejpam-7120	178	48	dφi)(dθj	dφi)(dθj	VERB
ejpam-7120	178	49	−	−	PROPN
ejpam-7120	178	50	dφj	dφj	PROPN
ejpam-7120	178	51	)	)	PUNCT
ejpam-7120	178	52	]	]	PUNCT
ejpam-7120	178	53	,	,	PUNCT
ejpam-7120	178	54	confirming	confirm	VERB
ejpam-7120	178	55	the	the	DET
ejpam-7120	178	56	local	local	ADJ
ejpam-7120	178	57	dominance	dominance	NOUN
ejpam-7120	178	58	of	of	ADP
ejpam-7120	178	59	the	the	DET
ejpam-7120	178	60	fisher	fisher	PROPN
ejpam-7120	178	61	–	–	PUNCT
ejpam-7120	178	62	rao	rao	NOUN
ejpam-7120	178	63	geometry	geometry	NOUN
ejpam-7120	178	64	.	.	PUNCT
ejpam-7120	179	1	•	•	NUM
ejpam-7120	179	2	neutrosophic	neutrosophic	ADJ
ejpam-7120	179	3	membership	membership	NOUN
ejpam-7120	179	4	functions	function	NOUN
ejpam-7120	179	5	:	:	PUNCT
ejpam-7120	179	6	–	–	PUNCT
ejpam-7120	179	7	truth	truth	NOUN
ejpam-7120	179	8	-	-	PUNCT
ejpam-7120	179	9	membership	membership	NOUN
ejpam-7120	179	10	:	:	PUNCT
ejpam-7120	179	11	measures	measure	VERB
ejpam-7120	179	12	similarity	similarity	NOUN
ejpam-7120	179	13	via	via	ADP
ejpam-7120	180	1	jsd	jsd	PROPN
ejpam-7120	180	2	.	.	PROPN
ejpam-7120	180	3	t	t	PROPN
ejpam-7120	180	4	(	(	PUNCT
ejpam-7120	180	5	p	p	X
ejpam-7120	180	6	,	,	PUNCT
ejpam-7120	180	7	q	q	ADJ
ejpam-7120	180	8	,	,	PUNCT
ejpam-7120	180	9	γ	γ	NOUN
ejpam-7120	180	10	)	)	PUNCT
ejpam-7120	180	11	=	=	NOUN
ejpam-7120	180	12	exp	exp	NOUN
ejpam-7120	180	13	(	(	PUNCT
ejpam-7120	180	14	−γ	−γ	NOUN
ejpam-7120	180	15	·	·	PUNCT
ejpam-7120	180	16	jsd(p‖q	jsd(p‖q	NUM
ejpam-7120	180	17	)	)	PUNCT
ejpam-7120	180	18	)	)	PUNCT
ejpam-7120	180	19	.	.	PUNCT
ejpam-7120	181	1	for	for	ADP
ejpam-7120	181	2	example	example	NOUN
ejpam-7120	181	3	,	,	PUNCT
ejpam-7120	181	4	if	if	SCONJ
ejpam-7120	181	5	p	p	NOUN
ejpam-7120	181	6	=	=	SYM
ejpam-7120	181	7	n	n	X
ejpam-7120	181	8	(	(	PUNCT
ejpam-7120	181	9	0	0	NUM
ejpam-7120	181	10	,	,	PUNCT
ejpam-7120	181	11	1	1	NUM
ejpam-7120	181	12	)	)	PUNCT
ejpam-7120	181	13	,	,	PUNCT
ejpam-7120	181	14	q	q	NOUN
ejpam-7120	181	15	=	=	SYM
ejpam-7120	181	16	n	n	PROPN
ejpam-7120	181	17	(	(	PUNCT
ejpam-7120	181	18	0.1	0.1	NUM
ejpam-7120	181	19	,	,	PUNCT
ejpam-7120	181	20	1.1	1.1	NUM
ejpam-7120	181	21	)	)	PUNCT
ejpam-7120	181	22	,	,	PUNCT
ejpam-7120	181	23	then	then	ADV
ejpam-7120	181	24	jsd(p‖q	jsd(p‖q	PROPN
ejpam-7120	181	25	)	)	PUNCT
ejpam-7120	182	1	≈	≈	PROPN
ejpam-7120	182	2	0.0023	0.0023	NUM
ejpam-7120	182	3	,	,	PUNCT
ejpam-7120	182	4	so	so	SCONJ
ejpam-7120	182	5	t	t	PROPN
ejpam-7120	182	6	(	(	PUNCT
ejpam-7120	182	7	p	p	X
ejpam-7120	182	8	,	,	PUNCT
ejpam-7120	182	9	q	q	ADJ
ejpam-7120	182	10	,	,	PUNCT
ejpam-7120	182	11	10	10	NUM
ejpam-7120	182	12	)	)	PUNCT
ejpam-7120	182	13	≈	≈	PROPN
ejpam-7120	182	14	exp(−0.023	exp(−0.023	NOUN
ejpam-7120	182	15	)	)	PUNCT
ejpam-7120	183	1	≈	≈	PROPN
ejpam-7120	183	2	0.977	0.977	NUM
ejpam-7120	183	3	.	.	PUNCT
ejpam-7120	184	1	–	–	PUNCT
ejpam-7120	184	2	indeterminacy	indeterminacy	NOUN
ejpam-7120	184	3	-	-	PUNCT
ejpam-7120	184	4	membership	membership	NOUN
ejpam-7120	184	5	:	:	PUNCT
ejpam-7120	184	6	captures	capture	VERB
ejpam-7120	184	7	entropy	entropy	NOUN
ejpam-7120	184	8	and	and	CCONJ
ejpam-7120	184	9	divergence	divergence	NOUN
ejpam-7120	184	10	differences	difference	NOUN
ejpam-7120	184	11	.	.	PUNCT
ejpam-7120	185	1	i(p	i(p	NOUN
ejpam-7120	185	2	,	,	PUNCT
ejpam-7120	185	3	q	q	X
ejpam-7120	185	4	,	,	PUNCT
ejpam-7120	185	5	γ	γ	NOUN
ejpam-7120	185	6	)	)	PUNCT
ejpam-7120	185	7	=	=	SYM
ejpam-7120	185	8	1−	1−	NUM
ejpam-7120	185	9	∣∣∣∣h(p)−h(q	∣∣∣∣h(p)−h(q	NOUN
ejpam-7120	185	10	)	)	PUNCT
ejpam-7120	185	11	maxr∈p	maxr∈p	PROPN
ejpam-7120	185	12	h(r	h(r	NOUN
ejpam-7120	185	13	)	)	PUNCT
ejpam-7120	185	14	∣∣∣∣	∣∣∣∣	PROPN
ejpam-7120	185	15	·	·	PUNCT
ejpam-7120	185	16	exp	exp	NOUN
ejpam-7120	185	17	(	(	PUNCT
ejpam-7120	185	18	−γ	−γ	NOUN
ejpam-7120	185	19	·	·	PUNCT
ejpam-7120	185	20	|dkl(p‖u)−dkl(q‖u)|	|dkl(p‖u)−dkl(q‖u)|	NOUN
ejpam-7120	185	21	)	)	PUNCT
ejpam-7120	185	22	,	,	PUNCT
ejpam-7120	185	23	where	where	SCONJ
ejpam-7120	185	24	h(p	h(p	NOUN
ejpam-7120	185	25	)	)	PUNCT
ejpam-7120	185	26	=	=	SYM
ejpam-7120	185	27	1	1	NUM
ejpam-7120	185	28	2	2	NUM
ejpam-7120	185	29	ln(2πeσ	ln(2πeσ	ADP
ejpam-7120	185	30	2	2	NUM
ejpam-7120	185	31	)	)	PUNCT
ejpam-7120	185	32	and	and	CCONJ
ejpam-7120	185	33	u	u	NOUN
ejpam-7120	185	34	is	be	AUX
ejpam-7120	185	35	the	the	DET
ejpam-7120	185	36	uniform	uniform	ADJ
ejpam-7120	185	37	distribution	distribution	NOUN
ejpam-7120	185	38	over	over	ADP
ejpam-7120	185	39	a	a	DET
ejpam-7120	185	40	sufficiently	sufficiently	ADV
ejpam-7120	185	41	large	large	ADJ
ejpam-7120	185	42	interval	interval	NOUN
ejpam-7120	185	43	.	.	PUNCT
ejpam-7120	186	1	a.	a.	PROPN
ejpam-7120	186	2	malkawi	malkawi	PROPN
ejpam-7120	186	3	,	,	PUNCT
ejpam-7120	186	4	a.	a.	PROPN
ejpam-7120	186	5	rabaiah	rabaiah	PROPN
ejpam-7120	186	6	/	/	SYM
ejpam-7120	186	7	eur	eur	PROPN
ejpam-7120	186	8	.	.	PUNCT
ejpam-7120	187	1	j.	j.	PROPN
ejpam-7120	187	2	pure	pure	PROPN
ejpam-7120	187	3	appl	appl	PROPN
ejpam-7120	187	4	.	.	PROPN
ejpam-7120	187	5	math	math	PROPN
ejpam-7120	187	6	,	,	PUNCT
ejpam-7120	187	7	18	18	NUM
ejpam-7120	187	8	(	(	PUNCT
ejpam-7120	187	9	4	4	NUM
ejpam-7120	187	10	)	)	PUNCT
ejpam-7120	187	11	(	(	PUNCT
ejpam-7120	187	12	2025	2025	NUM
ejpam-7120	187	13	)	)	PUNCT
ejpam-7120	187	14	,	,	PUNCT
ejpam-7120	187	15	7120	7120	NUM
ejpam-7120	187	16	10	10	NUM
ejpam-7120	187	17	of	of	ADP
ejpam-7120	187	18	16	16	NUM
ejpam-7120	187	19	–	–	PUNCT
ejpam-7120	187	20	falsity	falsity	NOUN
ejpam-7120	187	21	-	-	PUNCT
ejpam-7120	187	22	membership	membership	NOUN
ejpam-7120	187	23	:	:	PUNCT
ejpam-7120	187	24	defined	define	VERB
ejpam-7120	187	25	as	as	ADP
ejpam-7120	187	26	f	f	PROPN
ejpam-7120	187	27	=	=	SYM
ejpam-7120	187	28	1−	1−	NUM
ejpam-7120	187	29	t	t	PROPN
ejpam-7120	187	30	−	−	PROPN
ejpam-7120	187	31	i.	i.	NOUN
ejpam-7120	187	32	•	•	NUM
ejpam-7120	187	33	curvature	curvature	NOUN
ejpam-7120	187	34	and	and	CCONJ
ejpam-7120	187	35	contraction	contraction	NOUN
ejpam-7120	187	36	constant	constant	ADJ
ejpam-7120	187	37	:	:	PUNCT
ejpam-7120	187	38	the	the	DET
ejpam-7120	187	39	gaussian	gaussian	PROPN
ejpam-7120	187	40	manifold	manifold	NOUN
ejpam-7120	187	41	has	have	VERB
ejpam-7120	187	42	constant	constant	ADJ
ejpam-7120	187	43	negative	negative	ADJ
ejpam-7120	187	44	sectional	sectional	ADJ
ejpam-7120	187	45	curvature	curvature	NOUN
ejpam-7120	187	46	k	k	NOUN
ejpam-7120	187	47	=	=	PUNCT
ejpam-7120	187	48	−1	−1	NOUN
ejpam-7120	187	49	2	2	NUM
ejpam-7120	187	50	.	.	PUNCT
ejpam-7120	188	1	applying	apply	VERB
ejpam-7120	188	2	theorem	theorem	NOUN
ejpam-7120	188	3	3	3	NUM
ejpam-7120	188	4	:	:	PUNCT
ejpam-7120	188	5	r	r	NOUN
ejpam-7120	188	6	≥	≥	NOUN
ejpam-7120	188	7	1	1	NUM
ejpam-7120	188	8	+	+	CCONJ
ejpam-7120	188	9	1	1	NUM
ejpam-7120	188	10	4	4	NUM
ejpam-7120	188	11	max	max	NOUN
ejpam-7120	188	12	|r|	|r|	NOUN
ejpam-7120	188	13	√	√	PROPN
ejpam-7120	188	14	gppgqqgrr	gppgqqgrr	NOUN
ejpam-7120	189	1	≈	≈	PROPN
ejpam-7120	189	2	1	1	NUM
ejpam-7120	189	3	+	+	NUM
ejpam-7120	189	4	1	1	NUM
ejpam-7120	189	5	4	4	NUM
ejpam-7120	189	6	·	·	SYM
ejpam-7120	189	7	1/2	1/2	NUM
ejpam-7120	189	8	1	1	NUM
ejpam-7120	189	9	=	=	SYM
ejpam-7120	189	10	1.125	1.125	NUM
ejpam-7120	189	11	.	.	PUNCT
ejpam-7120	190	1	this	this	PRON
ejpam-7120	190	2	indicates	indicate	VERB
ejpam-7120	190	3	a	a	DET
ejpam-7120	190	4	mild	mild	ADJ
ejpam-7120	190	5	contraction	contraction	NOUN
ejpam-7120	190	6	requirement	requirement	NOUN
ejpam-7120	190	7	due	due	ADP
ejpam-7120	190	8	to	to	ADP
ejpam-7120	190	9	the	the	DET
ejpam-7120	190	10	hyperbolic	hyperbolic	ADJ
ejpam-7120	190	11	geometry	geometry	NOUN
ejpam-7120	190	12	.	.	PUNCT
ejpam-7120	191	1	µ	µ	PROPN
ejpam-7120	191	2	σ	σ	NOUN
ejpam-7120	191	3	p	p	X
ejpam-7120	191	4	q	q	NOUN
ejpam-7120	191	5	r	r	NOUN
ejpam-7120	191	6	k	k	NOUN
ejpam-7120	191	7	=	=	PUNCT
ejpam-7120	191	8	−1	−1	NOUN
ejpam-7120	191	9	2	2	NUM
ejpam-7120	191	10	3.2	3.2	NUM
ejpam-7120	191	11	.	.	PUNCT
ejpam-7120	192	1	categorical	categorical	ADJ
ejpam-7120	192	2	distributions	distribution	NOUN
ejpam-7120	192	3	(	(	PUNCT
ejpam-7120	192	4	simplex	simplex	NOUN
ejpam-7120	192	5	geometry	geometry	NOUN
ejpam-7120	192	6	)	)	PUNCT
ejpam-7120	192	7	example	example	NOUN
ejpam-7120	192	8	2	2	NUM
ejpam-7120	192	9	(	(	PUNCT
ejpam-7120	192	10	finite	finite	VERB
ejpam-7120	192	11	discrete	discrete	ADJ
ejpam-7120	192	12	distributions	distribution	NOUN
ejpam-7120	192	13	)	)	PUNCT
ejpam-7120	192	14	.	.	PUNCT
ejpam-7120	193	1	let	let	VERB
ejpam-7120	193	2	p	p	NOUN
ejpam-7120	193	3	=	=	X
ejpam-7120	193	4	{	{	PUNCT
ejpam-7120	193	5	p	p	X
ejpam-7120	193	6	=	=	X
ejpam-7120	193	7	(	(	PUNCT
ejpam-7120	193	8	p1	p1	PROPN
ejpam-7120	193	9	,	,	PUNCT
ejpam-7120	193	10	.	.	PUNCT
ejpam-7120	193	11	.	.	PUNCT
ejpam-7120	194	1	.	.	PUNCT
ejpam-7120	195	1	,	,	PUNCT
ejpam-7120	195	2	pn	pn	PROPN
ejpam-7120	195	3	)	)	PUNCT
ejpam-7120	195	4	:	:	PUNCT
ejpam-7120	196	1	pi	pi	NOUN
ejpam-7120	196	2	>	>	X
ejpam-7120	196	3	0	0	NUM
ejpam-7120	196	4	,	,	PUNCT
ejpam-7120	196	5	∑	∑	PUNCT
ejpam-7120	196	6	pi	pi	NOUN
ejpam-7120	196	7	=	=	SYM
ejpam-7120	196	8	1	1	X
ejpam-7120	196	9	}	}	PUNCT
ejpam-7120	196	10	be	be	AUX
ejpam-7120	196	11	the	the	DET
ejpam-7120	196	12	(	(	PUNCT
ejpam-7120	196	13	n−	n−	NOUN
ejpam-7120	196	14	1)-dimensional	1)-dimensional	ADJ
ejpam-7120	196	15	probability	probability	NOUN
ejpam-7120	196	16	simplex	simplex	NOUN
ejpam-7120	196	17	.	.	PUNCT
ejpam-7120	197	1	•	•	NUM
ejpam-7120	197	2	fisher	fisher	PROPN
ejpam-7120	197	3	–	–	PUNCT
ejpam-7120	197	4	rao	rao	NOUN
ejpam-7120	197	5	metric	metric	NOUN
ejpam-7120	197	6	:	:	PUNCT
ejpam-7120	197	7	this	this	PRON
ejpam-7120	197	8	is	be	AUX
ejpam-7120	197	9	the	the	DET
ejpam-7120	197	10	spherical	spherical	ADJ
ejpam-7120	197	11	metric	metric	NOUN
ejpam-7120	197	12	induced	induce	VERB
ejpam-7120	197	13	by	by	ADP
ejpam-7120	197	14	the	the	DET
ejpam-7120	197	15	embedding	embed	VERB
ejpam-7120	197	16	pi	pi	NOUN
ejpam-7120	197	17	=	=	X
ejpam-7120	197	18	x2i	x2i	PROPN
ejpam-7120	197	19	with	with	ADP
ejpam-7120	197	20	∑	∑	PROPN
ejpam-7120	197	21	x2i	x2i	PROPN
ejpam-7120	197	22	=	=	PROPN
ejpam-7120	197	23	1	1	X
ejpam-7120	197	24	.	.	PUNCT
ejpam-7120	198	1	the	the	DET
ejpam-7120	198	2	metric	metric	NOUN
ejpam-7120	198	3	is	be	AUX
ejpam-7120	198	4	:	:	PUNCT
ejpam-7120	198	5	ds2	ds2	PROPN
ejpam-7120	198	6	=	=	SYM
ejpam-7120	198	7	4	4	NUM
ejpam-7120	198	8	n∑	n∑	NOUN
ejpam-7120	198	9	i=1	i=1	PROPN
ejpam-7120	198	10	dx2i	dx2i	NOUN
ejpam-7120	198	11	=	=	SYM
ejpam-7120	199	1	n∑	n∑	NOUN
ejpam-7120	199	2	i=1	i=1	PROPN
ejpam-7120	199	3	dp2i	dp2i	PROPN
ejpam-7120	199	4	pi	pi	NOUN
ejpam-7120	199	5	.	.	PUNCT
ejpam-7120	200	1	the	the	DET
ejpam-7120	200	2	manifold	manifold	NOUN
ejpam-7120	200	3	is	be	AUX
ejpam-7120	200	4	a	a	DET
ejpam-7120	200	5	portion	portion	NOUN
ejpam-7120	200	6	of	of	ADP
ejpam-7120	200	7	a	a	DET
ejpam-7120	200	8	sphere	sphere	NOUN
ejpam-7120	200	9	with	with	ADP
ejpam-7120	200	10	radius	radius	NOUN
ejpam-7120	200	11	2	2	NUM
ejpam-7120	200	12	,	,	PUNCT
ejpam-7120	200	13	hence	hence	ADV
ejpam-7120	200	14	has	have	AUX
ejpam-7120	200	15	constant	constant	ADJ
ejpam-7120	200	16	positive	positive	ADJ
ejpam-7120	200	17	curvature	curvature	NOUN
ejpam-7120	200	18	.	.	PUNCT
ejpam-7120	201	1	•	•	NUM
ejpam-7120	201	2	neutrosophic	neutrosophic	ADJ
ejpam-7120	201	3	structure	structure	NOUN
ejpam-7120	201	4	:	:	PUNCT
ejpam-7120	201	5	–	–	PUNCT
ejpam-7120	201	6	mr	mr	PROPN
ejpam-7120	201	7	-	-	ADJ
ejpam-7120	201	8	metric	metric	NOUN
ejpam-7120	201	9	:	:	PUNCT
ejpam-7120	201	10	for	for	ADP
ejpam-7120	201	11	categorical	categorical	ADJ
ejpam-7120	201	12	distributions	distribution	NOUN
ejpam-7120	201	13	,	,	PUNCT
ejpam-7120	201	14	djs	djs	PROPN
ejpam-7120	201	15	has	have	VERB
ejpam-7120	201	16	a	a	DET
ejpam-7120	201	17	closed	closed	ADJ
ejpam-7120	201	18	form	form	NOUN
ejpam-7120	201	19	.	.	PUNCT
ejpam-7120	202	1	for	for	ADP
ejpam-7120	202	2	example	example	NOUN
ejpam-7120	202	3	,	,	PUNCT
ejpam-7120	202	4	for	for	ADP
ejpam-7120	202	5	n	n	NOUN
ejpam-7120	202	6	=	=	SYM
ejpam-7120	202	7	3	3	NUM
ejpam-7120	202	8	,	,	PUNCT
ejpam-7120	202	9	let	let	VERB
ejpam-7120	202	10	p	p	NOUN
ejpam-7120	202	11	=	=	X
ejpam-7120	202	12	(	(	PUNCT
ejpam-7120	202	13	0.5	0.5	NUM
ejpam-7120	202	14	,	,	PUNCT
ejpam-7120	202	15	0.3	0.3	NUM
ejpam-7120	202	16	,	,	PUNCT
ejpam-7120	202	17	0.2	0.2	NUM
ejpam-7120	202	18	)	)	PUNCT
ejpam-7120	202	19	,	,	PUNCT
ejpam-7120	202	20	q	q	NOUN
ejpam-7120	202	21	=	=	PUNCT
ejpam-7120	202	22	(	(	PUNCT
ejpam-7120	202	23	0.4	0.4	NUM
ejpam-7120	202	24	,	,	PUNCT
ejpam-7120	202	25	0.4	0.4	NUM
ejpam-7120	202	26	,	,	PUNCT
ejpam-7120	202	27	0.2	0.2	NUM
ejpam-7120	202	28	)	)	PUNCT
ejpam-7120	202	29	,	,	PUNCT
ejpam-7120	202	30	r	r	NOUN
ejpam-7120	202	31	=	=	SYM
ejpam-7120	202	32	(	(	PUNCT
ejpam-7120	202	33	0.6	0.6	NUM
ejpam-7120	202	34	,	,	PUNCT
ejpam-7120	202	35	0.2	0.2	NUM
ejpam-7120	202	36	,	,	PUNCT
ejpam-7120	202	37	0.2	0.2	NUM
ejpam-7120	202	38	)	)	PUNCT
ejpam-7120	202	39	.	.	PUNCT
ejpam-7120	203	1	then	then	ADV
ejpam-7120	203	2	:	:	PUNCT
ejpam-7120	203	3	m(p	m(p	PROPN
ejpam-7120	203	4	,	,	PUNCT
ejpam-7120	203	5	q	q	NOUN
ejpam-7120	203	6	,	,	PUNCT
ejpam-7120	203	7	r	r	NOUN
ejpam-7120	203	8	)	)	PUNCT
ejpam-7120	203	9	=	=	SYM
ejpam-7120	203	10	djs(p‖q)+djs(q‖r)+djs(r‖p	djs(p‖q)+djs(q‖r)+djs(r‖p	X
ejpam-7120	203	11	)	)	PUNCT
ejpam-7120	204	1	≈	≈	PROPN
ejpam-7120	204	2	0.024	0.024	NUM
ejpam-7120	204	3	+	+	NUM
ejpam-7120	204	4	0.018	0.018	NUM
ejpam-7120	204	5	+	+	NOUN
ejpam-7120	204	6	0.022	0.022	NUM
ejpam-7120	204	7	=	=	SYM
ejpam-7120	204	8	0.064	0.064	NUM
ejpam-7120	204	9	.	.	PUNCT
ejpam-7120	204	10	–	–	PUNCT
ejpam-7120	204	11	truth	truth	NOUN
ejpam-7120	204	12	-	-	PUNCT
ejpam-7120	204	13	membership	membership	NOUN
ejpam-7120	204	14	:	:	PUNCT
ejpam-7120	205	1	t	t	PROPN
ejpam-7120	205	2	(	(	PUNCT
ejpam-7120	205	3	p	p	X
ejpam-7120	205	4	,	,	PUNCT
ejpam-7120	205	5	q	q	ADJ
ejpam-7120	205	6	,	,	PUNCT
ejpam-7120	205	7	γ	γ	NOUN
ejpam-7120	205	8	)	)	PUNCT
ejpam-7120	205	9	=	=	SYM
ejpam-7120	205	10	exp(−γ·jsd(p‖q	exp(−γ·jsd(p‖q	PROPN
ejpam-7120	205	11	)	)	PUNCT
ejpam-7120	205	12	)	)	PUNCT
ejpam-7120	205	13	.	.	PUNCT
ejpam-7120	206	1	for	for	ADP
ejpam-7120	206	2	γ	γ	X
ejpam-7120	206	3	=	=	SYM
ejpam-7120	206	4	10	10	NUM
ejpam-7120	206	5	,	,	PUNCT
ejpam-7120	206	6	t	t	PROPN
ejpam-7120	206	7	(	(	PUNCT
ejpam-7120	206	8	p	p	X
ejpam-7120	206	9	,	,	PUNCT
ejpam-7120	206	10	q	q	ADJ
ejpam-7120	206	11	,	,	PUNCT
ejpam-7120	206	12	10	10	NUM
ejpam-7120	206	13	)	)	PUNCT
ejpam-7120	206	14	≈	≈	NOUN
ejpam-7120	206	15	exp(−10	exp(−10	ADJ
ejpam-7120	206	16	·	·	PUNCT
ejpam-7120	207	1	0.008	0.008	NUM
ejpam-7120	207	2	)	)	PUNCT
ejpam-7120	207	3	≈	≈	PROPN
ejpam-7120	207	4	0.923	0.923	NUM
ejpam-7120	207	5	.	.	PUNCT
ejpam-7120	207	6	–	–	PUNCT
ejpam-7120	207	7	indeterminacy	indeterminacy	NOUN
ejpam-7120	207	8	-	-	PUNCT
ejpam-7120	207	9	membership	membership	NOUN
ejpam-7120	207	10	:	:	PUNCT
ejpam-7120	207	11	reflects	reflect	VERB
ejpam-7120	207	12	entropy	entropy	NOUN
ejpam-7120	207	13	differences	difference	NOUN
ejpam-7120	207	14	.	.	PUNCT
ejpam-7120	208	1	for	for	ADP
ejpam-7120	208	2	p	p	NOUN
ejpam-7120	208	3	and	and	CCONJ
ejpam-7120	208	4	q	q	NOUN
ejpam-7120	208	5	above	above	ADV
ejpam-7120	208	6	,	,	PUNCT
ejpam-7120	208	7	h(p	h(p	PROPN
ejpam-7120	208	8	)	)	PUNCT
ejpam-7120	209	1	≈	≈	PROPN
ejpam-7120	209	2	1.029,h(q	1.029,h(q	X
ejpam-7120	209	3	)	)	PUNCT
ejpam-7120	209	4	≈	≈	NOUN
ejpam-7120	209	5	1.055	1.055	NUM
ejpam-7120	209	6	,	,	PUNCT
ejpam-7120	209	7	so	so	CCONJ
ejpam-7120	209	8	the	the	DET
ejpam-7120	209	9	entropy	entropy	NOUN
ejpam-7120	209	10	difference	difference	NOUN
ejpam-7120	209	11	is	be	AUX
ejpam-7120	209	12	small	small	ADJ
ejpam-7120	209	13	,	,	PUNCT
ejpam-7120	209	14	leading	lead	VERB
ejpam-7120	209	15	to	to	ADP
ejpam-7120	209	16	high	high	ADJ
ejpam-7120	209	17	indeterminacy	indeterminacy	NOUN
ejpam-7120	209	18	if	if	SCONJ
ejpam-7120	209	19	the	the	DET
ejpam-7120	209	20	distributions	distribution	NOUN
ejpam-7120	209	21	are	be	AUX
ejpam-7120	209	22	otherwise	otherwise	ADV
ejpam-7120	209	23	distinct	distinct	ADJ
ejpam-7120	209	24	.	.	PUNCT
ejpam-7120	210	1	a.	a.	PROPN
ejpam-7120	210	2	malkawi	malkawi	PROPN
ejpam-7120	210	3	,	,	PUNCT
ejpam-7120	210	4	a.	a.	PROPN
ejpam-7120	210	5	rabaiah	rabaiah	PROPN
ejpam-7120	210	6	/	/	SYM
ejpam-7120	210	7	eur	eur	PROPN
ejpam-7120	210	8	.	.	PUNCT
ejpam-7120	211	1	j.	j.	PROPN
ejpam-7120	211	2	pure	pure	PROPN
ejpam-7120	211	3	appl	appl	PROPN
ejpam-7120	211	4	.	.	PROPN
ejpam-7120	211	5	math	math	PROPN
ejpam-7120	211	6	,	,	PUNCT
ejpam-7120	211	7	18	18	NUM
ejpam-7120	211	8	(	(	PUNCT
ejpam-7120	211	9	4	4	NUM
ejpam-7120	211	10	)	)	PUNCT
ejpam-7120	211	11	(	(	PUNCT
ejpam-7120	211	12	2025	2025	NUM
ejpam-7120	211	13	)	)	PUNCT
ejpam-7120	211	14	,	,	PUNCT
ejpam-7120	211	15	7120	7120	NUM
ejpam-7120	211	16	11	11	NUM
ejpam-7120	211	17	of	of	ADP
ejpam-7120	211	18	16	16	NUM
ejpam-7120	211	19	•	•	NOUN
ejpam-7120	211	20	contraction	contraction	NOUN
ejpam-7120	211	21	constant	constant	ADJ
ejpam-7120	211	22	:	:	PUNCT
ejpam-7120	211	23	for	for	ADP
ejpam-7120	211	24	the	the	DET
ejpam-7120	211	25	positive	positive	ADJ
ejpam-7120	211	26	-	-	PUNCT
ejpam-7120	211	27	curvature	curvature	NOUN
ejpam-7120	211	28	simplex	simplex	NOUN
ejpam-7120	211	29	,	,	PUNCT
ejpam-7120	211	30	the	the	DET
ejpam-7120	211	31	contraction	contraction	NOUN
ejpam-7120	211	32	constant	constant	ADJ
ejpam-7120	211	33	r	r	NOUN
ejpam-7120	211	34	is	be	AUX
ejpam-7120	211	35	larger	large	ADJ
ejpam-7120	211	36	.	.	PUNCT
ejpam-7120	212	1	the	the	DET
ejpam-7120	212	2	curvature	curvature	NOUN
ejpam-7120	212	3	is	be	AUX
ejpam-7120	212	4	k	k	NOUN
ejpam-7120	212	5	=	=	SYM
ejpam-7120	212	6	1	1	NUM
ejpam-7120	212	7	4	4	NUM
ejpam-7120	212	8	,	,	PUNCT
ejpam-7120	212	9	so	so	ADV
ejpam-7120	212	10	:	:	PUNCT
ejpam-7120	212	11	r	r	NOUN
ejpam-7120	212	12	≥	≥	NUM
ejpam-7120	212	13	1	1	NUM
ejpam-7120	212	14	+	+	CCONJ
ejpam-7120	212	15	1	1	NUM
ejpam-7120	212	16	4	4	NUM
ejpam-7120	212	17	·	·	SYM
ejpam-7120	212	18	1/4	1/4	NUM
ejpam-7120	212	19	1	1	NUM
ejpam-7120	212	20	=	=	SYM
ejpam-7120	212	21	1.0625	1.0625	NUM
ejpam-7120	212	22	.	.	PUNCT
ejpam-7120	213	1	however	however	ADV
ejpam-7120	213	2	,	,	PUNCT
ejpam-7120	213	3	the	the	DET
ejpam-7120	213	4	presence	presence	NOUN
ejpam-7120	213	5	of	of	ADP
ejpam-7120	213	6	boundaries	boundary	NOUN
ejpam-7120	213	7	(	(	PUNCT
ejpam-7120	213	8	some	some	DET
ejpam-7120	213	9	pi	pi	NOUN
ejpam-7120	213	10	→	→	SYM
ejpam-7120	213	11	0	0	NUM
ejpam-7120	213	12	)	)	PUNCT
ejpam-7120	213	13	increases	increase	VERB
ejpam-7120	213	14	the	the	DET
ejpam-7120	213	15	effective	effective	ADJ
ejpam-7120	213	16	r	r	NOUN
ejpam-7120	213	17	in	in	ADP
ejpam-7120	213	18	practice	practice	NOUN
ejpam-7120	213	19	.	.	PUNCT
ejpam-7120	214	1	3.3	3.3	NUM
ejpam-7120	214	2	.	.	PUNCT
ejpam-7120	214	3	exponential	exponential	ADJ
ejpam-7120	214	4	family	family	NOUN
ejpam-7120	214	5	and	and	CCONJ
ejpam-7120	214	6	α	α	NOUN
ejpam-7120	214	7	-	-	PUNCT
ejpam-7120	214	8	connections	connection	NOUN
ejpam-7120	214	9	example	example	NOUN
ejpam-7120	214	10	3	3	NUM
ejpam-7120	214	11	(	(	PUNCT
ejpam-7120	214	12	exponential	exponential	ADJ
ejpam-7120	214	13	family	family	NOUN
ejpam-7120	214	14	)	)	PUNCT
ejpam-7120	214	15	.	.	PUNCT
ejpam-7120	214	16	consider	consider	VERB
ejpam-7120	214	17	an	an	DET
ejpam-7120	214	18	exponential	exponential	ADJ
ejpam-7120	214	19	family	family	NOUN
ejpam-7120	214	20	:	:	PUNCT
ejpam-7120	214	21	p(x	p(x	PROPN
ejpam-7120	214	22	;	;	PUNCT
ejpam-7120	214	23	θ	θ	X
ejpam-7120	214	24	)	)	PUNCT
ejpam-7120	214	25	=	=	SYM
ejpam-7120	214	26	exp	exp	NOUN
ejpam-7120	214	27	(	(	PUNCT
ejpam-7120	214	28	θ	θ	PROPN
ejpam-7120	214	29	·	·	PUNCT
ejpam-7120	214	30	t	t	PROPN
ejpam-7120	214	31	(	(	PUNCT
ejpam-7120	214	32	x)−a(θ	x)−a(θ	PROPN
ejpam-7120	214	33	)	)	PUNCT
ejpam-7120	214	34	+	+	SYM
ejpam-7120	215	1	lnh(x	lnh(x	NOUN
ejpam-7120	215	2	)	)	PUNCT
ejpam-7120	215	3	)	)	PUNCT
ejpam-7120	215	4	.	.	PUNCT
ejpam-7120	216	1	•	•	NUM
ejpam-7120	216	2	fisher	fisher	PROPN
ejpam-7120	216	3	–	–	PUNCT
ejpam-7120	216	4	rao	rao	NOUN
ejpam-7120	216	5	metric	metric	NOUN
ejpam-7120	216	6	:	:	PUNCT
ejpam-7120	216	7	gij(θ	gij(θ	NOUN
ejpam-7120	216	8	)	)	PUNCT
ejpam-7120	216	9	=	=	SYM
ejpam-7120	216	10	∂i∂ja(θ	∂i∂ja(θ	NOUN
ejpam-7120	216	11	)	)	PUNCT
ejpam-7120	216	12	.	.	PUNCT
ejpam-7120	217	1	•	•	NUM
ejpam-7120	217	2	neutrosophic	neutrosophic	ADJ
ejpam-7120	217	3	α	α	NOUN
ejpam-7120	217	4	-	-	NOUN
ejpam-7120	217	5	connection	connection	NOUN
ejpam-7120	217	6	:	:	PUNCT
ejpam-7120	217	7	the	the	DET
ejpam-7120	217	8	α	α	NOUN
ejpam-7120	217	9	-	-	PUNCT
ejpam-7120	217	10	connection	connection	NOUN
ejpam-7120	217	11	coefficients	coefficient	NOUN
ejpam-7120	217	12	are	be	AUX
ejpam-7120	217	13	:	:	PUNCT
ejpam-7120	217	14	γ	γ	X
ejpam-7120	217	15	(	(	PUNCT
ejpam-7120	217	16	α	α	NOUN
ejpam-7120	217	17	)	)	PUNCT
ejpam-7120	217	18	ij	ij	NOUN
ejpam-7120	217	19	,	,	PUNCT
ejpam-7120	217	20	k(θ	k(θ	PROPN
ejpam-7120	217	21	)	)	PUNCT
ejpam-7120	217	22	=	=	SYM
ejpam-7120	218	1	1−	1−	NUM
ejpam-7120	218	2	α	α	DET
ejpam-7120	218	3	2	2	NUM
ejpam-7120	218	4	∂i∂j∂ka(θ	∂i∂j∂ka(θ	NOUN
ejpam-7120	218	5	)	)	PUNCT
ejpam-7120	218	6	.	.	PUNCT
ejpam-7120	219	1	our	our	PRON
ejpam-7120	219	2	neutrosophic	neutrosophic	ADJ
ejpam-7120	219	3	structure	structure	NOUN
ejpam-7120	219	4	naturally	naturally	ADV
ejpam-7120	219	5	incorporates	incorporate	VERB
ejpam-7120	219	6	this	this	PRON
ejpam-7120	219	7	via	via	ADP
ejpam-7120	219	8	the	the	DET
ejpam-7120	219	9	indeterminacy	indeterminacy	NOUN
ejpam-7120	219	10	function	function	NOUN
ejpam-7120	219	11	i	i	PRON
ejpam-7120	219	12	,	,	PUNCT
ejpam-7120	219	13	which	which	PRON
ejpam-7120	219	14	can	can	AUX
ejpam-7120	219	15	be	be	AUX
ejpam-7120	219	16	linked	link	VERB
ejpam-7120	219	17	to	to	ADP
ejpam-7120	219	18	the	the	DET
ejpam-7120	219	19	deviation	deviation	NOUN
ejpam-7120	219	20	from	from	ADP
ejpam-7120	219	21	the	the	DET
ejpam-7120	219	22	levi	levi	PROPN
ejpam-7120	219	23	-	-	PUNCT
ejpam-7120	219	24	civita	civita	PROPN
ejpam-7120	219	25	connection	connection	NOUN
ejpam-7120	219	26	(	(	PUNCT
ejpam-7120	219	27	α	α	NOUN
ejpam-7120	219	28	=	=	NOUN
ejpam-7120	219	29	0	0	NUM
ejpam-7120	219	30	)	)	PUNCT
ejpam-7120	219	31	.	.	PUNCT
ejpam-7120	220	1	for	for	ADP
ejpam-7120	220	2	instance	instance	NOUN
ejpam-7120	220	3	,	,	PUNCT
ejpam-7120	220	4	define	define	VERB
ejpam-7120	220	5	a	a	DET
ejpam-7120	220	6	weighted	weighted	ADJ
ejpam-7120	220	7	indeterminacy	indeterminacy	NOUN
ejpam-7120	220	8	:	:	PUNCT
ejpam-7120	220	9	i(α)(p	i(α)(p	NUM
ejpam-7120	220	10	,	,	PUNCT
ejpam-7120	220	11	q	q	NOUN
ejpam-7120	220	12	,	,	PUNCT
ejpam-7120	220	13	γ	γ	NOUN
ejpam-7120	220	14	)	)	PUNCT
ejpam-7120	220	15	=	=	SYM
ejpam-7120	220	16	|α|	|α|	PROPN
ejpam-7120	220	17	·	·	PUNCT
ejpam-7120	220	18	(	(	PUNCT
ejpam-7120	220	19	1−	1−	NUM
ejpam-7120	220	20	t	t	NOUN
ejpam-7120	220	21	(	(	PUNCT
ejpam-7120	220	22	p	p	X
ejpam-7120	220	23	,	,	PUNCT
ejpam-7120	220	24	q	q	ADJ
ejpam-7120	220	25	,	,	PUNCT
ejpam-7120	220	26	γ	γ	NOUN
ejpam-7120	220	27	)	)	PUNCT
ejpam-7120	220	28	)	)	PUNCT
ejpam-7120	221	1	+	+	CCONJ
ejpam-7120	221	2	(	(	PUNCT
ejpam-7120	221	3	1−	1−	NUM
ejpam-7120	221	4	|α|	|α|	PROPN
ejpam-7120	221	5	)	)	PUNCT
ejpam-7120	221	6	·	·	PUNCT
ejpam-7120	221	7	i(p	i(p	NOUN
ejpam-7120	221	8	,	,	PUNCT
ejpam-7120	221	9	q	q	NOUN
ejpam-7120	221	10	,	,	PUNCT
ejpam-7120	221	11	γ	γ	NOUN
ejpam-7120	221	12	)	)	PUNCT
ejpam-7120	221	13	.	.	PUNCT
ejpam-7120	222	1	this	this	PRON
ejpam-7120	222	2	blends	blend	VERB
ejpam-7120	222	3	the	the	DET
ejpam-7120	222	4	”	"	PUNCT
ejpam-7120	222	5	geometric	geometric	ADJ
ejpam-7120	222	6	uncertainty	uncertainty	NOUN
ejpam-7120	222	7	”	"	PUNCT
ejpam-7120	222	8	(	(	PUNCT
ejpam-7120	222	9	α	α	NOUN
ejpam-7120	222	10	-	-	PUNCT
ejpam-7120	222	11	deviation	deviation	NOUN
ejpam-7120	222	12	)	)	PUNCT
ejpam-7120	222	13	with	with	ADP
ejpam-7120	222	14	the	the	DET
ejpam-7120	222	15	”	"	PUNCT
ejpam-7120	222	16	information	information	NOUN
ejpam-7120	222	17	uncertainty	uncertainty	NOUN
ejpam-7120	222	18	”	"	PUNCT
ejpam-7120	222	19	(	(	PUNCT
ejpam-7120	222	20	entropy	entropy	VERB
ejpam-7120	222	21	differences	difference	NOUN
ejpam-7120	222	22	)	)	PUNCT
ejpam-7120	222	23	.	.	PUNCT
ejpam-7120	223	1	3.4	3.4	NUM
ejpam-7120	223	2	.	.	PUNCT
ejpam-7120	223	3	application	application	NOUN
ejpam-7120	223	4	to	to	ADP
ejpam-7120	223	5	model	model	NOUN
ejpam-7120	223	6	selection	selection	NOUN
ejpam-7120	223	7	and	and	CCONJ
ejpam-7120	223	8	hypothesis	hypothesis	NOUN
ejpam-7120	223	9	testing	testing	NOUN
ejpam-7120	223	10	corollary	corollary	NOUN
ejpam-7120	223	11	1	1	NUM
ejpam-7120	223	12	(	(	PUNCT
ejpam-7120	223	13	neutrosophic	neutrosophic	ADJ
ejpam-7120	223	14	bayesian	bayesian	NOUN
ejpam-7120	223	15	information	information	NOUN
ejpam-7120	223	16	criterion	criterion	NOUN
ejpam-7120	223	17	(	(	PUNCT
ejpam-7120	223	18	nbic	nbic	NOUN
ejpam-7120	223	19	)	)	PUNCT
ejpam-7120	223	20	)	)	PUNCT
ejpam-7120	223	21	.	.	PUNCT
ejpam-7120	224	1	in	in	ADP
ejpam-7120	224	2	model	model	NOUN
ejpam-7120	224	3	selection	selection	NOUN
ejpam-7120	224	4	,	,	PUNCT
ejpam-7120	224	5	the	the	DET
ejpam-7120	224	6	standard	standard	ADJ
ejpam-7120	224	7	bic	bic	PROPN
ejpam-7120	224	8	is	be	AUX
ejpam-7120	224	9	bic	bic	PROPN
ejpam-7120	224	10	=	=	PUNCT
ejpam-7120	224	11	−2	−2	PROPN
ejpam-7120	224	12	lnl+	lnl+	VERB
ejpam-7120	224	13	k	k	PROPN
ejpam-7120	224	14	lnn	lnn	PROPN
ejpam-7120	224	15	.	.	PUNCT
ejpam-7120	225	1	we	we	PRON
ejpam-7120	225	2	propose	propose	VERB
ejpam-7120	225	3	a	a	DET
ejpam-7120	225	4	neutrosophic	neutrosophic	ADJ
ejpam-7120	225	5	adjustment	adjustment	NOUN
ejpam-7120	225	6	:	:	PUNCT
ejpam-7120	225	7	nbic	nbic	ADJ
ejpam-7120	225	8	=	=	SYM
ejpam-7120	225	9	−2	−2	NOUN
ejpam-7120	225	10	lnl+	lnl+	PROPN
ejpam-7120	225	11	k	k	X
ejpam-7120	225	12	lnn+	lnn+	NOUN
ejpam-7120	225	13	λ	λ	X
ejpam-7120	225	14	·	·	PUNCT
ejpam-7120	225	15	(	(	PUNCT
ejpam-7120	225	16	1−	1−	NUM
ejpam-7120	225	17	e[t	e[t	X
ejpam-7120	225	18	]	]	X
ejpam-7120	225	19	−	−	X
ejpam-7120	225	20	e[i	e[i	NOUN
ejpam-7120	225	21	]	]	PUNCT
ejpam-7120	225	22	)	)	PUNCT
ejpam-7120	225	23	,	,	PUNCT
ejpam-7120	225	24	where	where	SCONJ
ejpam-7120	225	25	e[t	e[t	PRON
ejpam-7120	225	26	]	]	PUNCT
ejpam-7120	225	27	and	and	CCONJ
ejpam-7120	225	28	e[i	e[i	NOUN
ejpam-7120	225	29	]	]	PUNCT
ejpam-7120	225	30	are	be	AUX
ejpam-7120	225	31	average	average	ADJ
ejpam-7120	225	32	truth	truth	NOUN
ejpam-7120	225	33	and	and	CCONJ
ejpam-7120	225	34	indeterminacy	indeterminacy	NOUN
ejpam-7120	225	35	memberships	membership	NOUN
ejpam-7120	225	36	over	over	ADP
ejpam-7120	225	37	the	the	DET
ejpam-7120	225	38	model	model	NOUN
ejpam-7120	225	39	’s	’s	PART
ejpam-7120	225	40	parameter	parameter	NOUN
ejpam-7120	225	41	space	space	NOUN
ejpam-7120	225	42	,	,	PUNCT
ejpam-7120	225	43	and	and	CCONJ
ejpam-7120	225	44	λ	λ	PROPN
ejpam-7120	225	45	is	be	AUX
ejpam-7120	225	46	a	a	DET
ejpam-7120	225	47	tuning	tuning	NOUN
ejpam-7120	225	48	parameter	parameter	NOUN
ejpam-7120	225	49	.	.	PUNCT
ejpam-7120	226	1	this	this	DET
ejpam-7120	226	2	penalizes	penalize	NOUN
ejpam-7120	226	3	models	model	NOUN
ejpam-7120	226	4	with	with	ADP
ejpam-7120	226	5	high	high	ADJ
ejpam-7120	226	6	epistemic	epistemic	ADJ
ejpam-7120	226	7	uncertainty	uncertainty	NOUN
ejpam-7120	226	8	or	or	CCONJ
ejpam-7120	226	9	low	low	ADJ
ejpam-7120	226	10	truth	truth	NOUN
ejpam-7120	226	11	membership	membership	NOUN
ejpam-7120	226	12	(	(	PUNCT
ejpam-7120	226	13	poor	poor	ADJ
ejpam-7120	226	14	fit	fit	NOUN
ejpam-7120	226	15	)	)	PUNCT
ejpam-7120	226	16	.	.	PUNCT
ejpam-7120	227	1	example	example	NOUN
ejpam-7120	227	2	4	4	NUM
ejpam-7120	227	3	(	(	PUNCT
ejpam-7120	227	4	hypothesis	hypothesis	NOUN
ejpam-7120	227	5	testing	testing	NOUN
ejpam-7120	227	6	)	)	PUNCT
ejpam-7120	227	7	.	.	PUNCT
ejpam-7120	228	1	consider	consider	VERB
ejpam-7120	228	2	testing	test	VERB
ejpam-7120	228	3	h0	h0	NOUN
ejpam-7120	228	4	:	:	PUNCT
ejpam-7120	228	5	θ	θ	X
ejpam-7120	228	6	=	=	SYM
ejpam-7120	228	7	θ0	θ0	PROPN
ejpam-7120	228	8	vs.	vs.	CCONJ
ejpam-7120	228	9	h1	h1	NOUN
ejpam-7120	228	10	:	:	PUNCT
ejpam-7120	228	11	θ	θ	PROPN
ejpam-7120	228	12	6=	6=	NUM
ejpam-7120	228	13	θ0	θ0	NOUN
ejpam-7120	228	14	.	.	PUNCT
ejpam-7120	229	1	the	the	DET
ejpam-7120	229	2	classical	classical	ADJ
ejpam-7120	229	3	p	p	NOUN
ejpam-7120	229	4	-	-	PUNCT
ejpam-7120	229	5	value	value	NOUN
ejpam-7120	229	6	can	can	AUX
ejpam-7120	229	7	be	be	AUX
ejpam-7120	229	8	enriched	enrich	VERB
ejpam-7120	229	9	with	with	ADP
ejpam-7120	229	10	neutrosophic	neutrosophic	ADJ
ejpam-7120	229	11	memberships	membership	NOUN
ejpam-7120	229	12	:	:	PUNCT
ejpam-7120	229	13	•	•	NUM
ejpam-7120	229	14	truth	truth	NOUN
ejpam-7120	229	15	-	-	PUNCT
ejpam-7120	229	16	membership	membership	NOUN
ejpam-7120	229	17	(	(	PUNCT
ejpam-7120	229	18	t	t	NOUN
ejpam-7120	229	19	):	):	PUNCT
ejpam-7120	229	20	likelihood	likelihood	NOUN
ejpam-7120	229	21	of	of	ADP
ejpam-7120	229	22	data	datum	NOUN
ejpam-7120	229	23	under	under	ADP
ejpam-7120	229	24	h0	h0	PROPN
ejpam-7120	229	25	.	.	PROPN
ejpam-7120	229	26	•	•	ADP
ejpam-7120	229	27	indeterminacy	indeterminacy	NOUN
ejpam-7120	229	28	-	-	PUNCT
ejpam-7120	229	29	membership	membership	NOUN
ejpam-7120	229	30	(	(	PUNCT
ejpam-7120	229	31	i	i	NOUN
ejpam-7120	229	32	):	):	PUNCT
ejpam-7120	229	33	function	function	NOUN
ejpam-7120	229	34	of	of	ADP
ejpam-7120	229	35	the	the	DET
ejpam-7120	229	36	fisher	fisher	PROPN
ejpam-7120	229	37	information	information	NOUN
ejpam-7120	229	38	at	at	ADP
ejpam-7120	229	39	θ0	θ0	PROPN
ejpam-7120	229	40	;	;	PUNCT
ejpam-7120	229	41	high	high	ADJ
ejpam-7120	229	42	indeterminacy	indeterminacy	NOUN
ejpam-7120	229	43	suggests	suggest	VERB
ejpam-7120	229	44	the	the	DET
ejpam-7120	229	45	test	test	NOUN
ejpam-7120	229	46	is	be	AUX
ejpam-7120	229	47	less	less	ADV
ejpam-7120	229	48	informative	informative	ADJ
ejpam-7120	229	49	.	.	PUNCT
ejpam-7120	230	1	•	•	NUM
ejpam-7120	230	2	falsity	falsity	NOUN
ejpam-7120	230	3	-	-	PUNCT
ejpam-7120	230	4	membership	membership	NOUN
ejpam-7120	230	5	(	(	PUNCT
ejpam-7120	230	6	f	f	NOUN
ejpam-7120	230	7	):	):	PUNCT
ejpam-7120	230	8	evidence	evidence	NOUN
ejpam-7120	230	9	against	against	ADP
ejpam-7120	230	10	h0	h0	PROPN
ejpam-7120	230	11	.	.	PUNCT
ejpam-7120	231	1	a	a	DET
ejpam-7120	231	2	decision	decision	NOUN
ejpam-7120	231	3	rule	rule	NOUN
ejpam-7120	231	4	could	could	AUX
ejpam-7120	231	5	be	be	AUX
ejpam-7120	231	6	:	:	PUNCT
ejpam-7120	231	7	reject	reject	VERB
ejpam-7120	231	8	h0	h0	PROPN
ejpam-7120	231	9	if	if	SCONJ
ejpam-7120	231	10	f	f	PROPN
ejpam-7120	231	11	>	>	X
ejpam-7120	231	12	τf	τf	PROPN
ejpam-7120	232	1	and	and	CCONJ
ejpam-7120	232	2	i	i	PRON
ejpam-7120	232	3	<	<	X
ejpam-7120	232	4	τi	τi	X
ejpam-7120	232	5	,	,	PUNCT
ejpam-7120	232	6	where	where	SCONJ
ejpam-7120	232	7	τf	τf	X
ejpam-7120	232	8	,	,	PUNCT
ejpam-7120	232	9	τi	τi	PROPN
ejpam-7120	232	10	are	be	AUX
ejpam-7120	232	11	thresholds	threshold	NOUN
ejpam-7120	232	12	.	.	PUNCT
ejpam-7120	233	1	a.	a.	PROPN
ejpam-7120	233	2	malkawi	malkawi	PROPN
ejpam-7120	233	3	,	,	PUNCT
ejpam-7120	233	4	a.	a.	PROPN
ejpam-7120	233	5	rabaiah	rabaiah	PROPN
ejpam-7120	233	6	/	/	SYM
ejpam-7120	233	7	eur	eur	PROPN
ejpam-7120	233	8	.	.	PUNCT
ejpam-7120	234	1	j.	j.	PROPN
ejpam-7120	234	2	pure	pure	PROPN
ejpam-7120	234	3	appl	appl	PROPN
ejpam-7120	234	4	.	.	PROPN
ejpam-7120	234	5	math	math	PROPN
ejpam-7120	234	6	,	,	PUNCT
ejpam-7120	234	7	18	18	NUM
ejpam-7120	234	8	(	(	PUNCT
ejpam-7120	234	9	4	4	NUM
ejpam-7120	234	10	)	)	PUNCT
ejpam-7120	234	11	(	(	PUNCT
ejpam-7120	234	12	2025	2025	NUM
ejpam-7120	234	13	)	)	PUNCT
ejpam-7120	234	14	,	,	PUNCT
ejpam-7120	234	15	7120	7120	NUM
ejpam-7120	234	16	12	12	NUM
ejpam-7120	234	17	of	of	ADP
ejpam-7120	234	18	16	16	NUM
ejpam-7120	234	19	3.5	3.5	NUM
ejpam-7120	234	20	.	.	PUNCT
ejpam-7120	235	1	geometric	geometric	ADJ
ejpam-7120	235	2	machine	machine	NOUN
ejpam-7120	235	3	learning	learn	VERB
ejpam-7120	235	4	[	[	X
ejpam-7120	235	5	uncertainty	uncertainty	NOUN
ejpam-7120	235	6	-	-	PUNCT
ejpam-7120	235	7	aware	aware	ADJ
ejpam-7120	235	8	deep	deep	ADJ
ejpam-7120	235	9	learning	learning	NOUN
ejpam-7120	235	10	]	]	PUNCT
ejpam-7120	235	11	in	in	ADP
ejpam-7120	235	12	variational	variational	ADJ
ejpam-7120	235	13	autoencoders	autoencoder	NOUN
ejpam-7120	235	14	(	(	PUNCT
ejpam-7120	235	15	vaes	vaes	ADJ
ejpam-7120	235	16	)	)	PUNCT
ejpam-7120	235	17	,	,	PUNCT
ejpam-7120	235	18	the	the	DET
ejpam-7120	235	19	latent	latent	NOUN
ejpam-7120	235	20	space	space	NOUN
ejpam-7120	235	21	is	be	AUX
ejpam-7120	235	22	often	often	ADV
ejpam-7120	235	23	a	a	DET
ejpam-7120	235	24	gaussian	gaussian	ADJ
ejpam-7120	235	25	manifold	manifold	NOUN
ejpam-7120	235	26	.	.	PUNCT
ejpam-7120	236	1	our	our	PRON
ejpam-7120	236	2	neutrosophic	neutrosophic	ADJ
ejpam-7120	236	3	structure	structure	NOUN
ejpam-7120	236	4	can	can	AUX
ejpam-7120	236	5	quantify	quantify	VERB
ejpam-7120	236	6	uncertainty	uncertainty	NOUN
ejpam-7120	236	7	in	in	ADP
ejpam-7120	236	8	the	the	DET
ejpam-7120	236	9	latent	latent	NOUN
ejpam-7120	236	10	representations	representation	NOUN
ejpam-7120	236	11	:	:	PUNCT
ejpam-7120	236	12	•	•	ADV
ejpam-7120	236	13	let	let	VERB
ejpam-7120	236	14	z1	z1	ADJ
ejpam-7120	236	15	,	,	PUNCT
ejpam-7120	236	16	z2	z2	PROPN
ejpam-7120	236	17	be	be	AUX
ejpam-7120	236	18	latent	latent	ADJ
ejpam-7120	236	19	codes	code	NOUN
ejpam-7120	236	20	for	for	ADP
ejpam-7120	236	21	two	two	NUM
ejpam-7120	236	22	inputs	input	NOUN
ejpam-7120	236	23	.	.	PUNCT
ejpam-7120	237	1	•	•	NOUN
ejpam-7120	237	2	define	define	VERB
ejpam-7120	237	3	t	t	PROPN
ejpam-7120	237	4	(	(	PUNCT
ejpam-7120	237	5	z1	z1	PROPN
ejpam-7120	237	6	,	,	PUNCT
ejpam-7120	237	7	z2	z2	PROPN
ejpam-7120	237	8	,	,	PUNCT
ejpam-7120	237	9	γ	γ	NOUN
ejpam-7120	237	10	)	)	PUNCT
ejpam-7120	237	11	based	base	VERB
ejpam-7120	237	12	on	on	ADP
ejpam-7120	237	13	their	their	PRON
ejpam-7120	237	14	jsd	jsd	NOUN
ejpam-7120	237	15	in	in	ADP
ejpam-7120	237	16	the	the	DET
ejpam-7120	237	17	data	data	NOUN
ejpam-7120	237	18	space	space	NOUN
ejpam-7120	237	19	(	(	PUNCT
ejpam-7120	237	20	via	via	ADP
ejpam-7120	237	21	decoder	decoder	NOUN
ejpam-7120	237	22	)	)	PUNCT
ejpam-7120	237	23	.	.	PUNCT
ejpam-7120	238	1	•	•	NOUN
ejpam-7120	238	2	define	define	VERB
ejpam-7120	238	3	i(z1	i(z1	NOUN
ejpam-7120	238	4	,	,	PUNCT
ejpam-7120	238	5	z2	z2	PROPN
ejpam-7120	238	6	,	,	PUNCT
ejpam-7120	238	7	γ	γ	NOUN
ejpam-7120	238	8	)	)	PUNCT
ejpam-7120	238	9	based	base	VERB
ejpam-7120	238	10	on	on	ADP
ejpam-7120	238	11	entropy	entropy	NOUN
ejpam-7120	238	12	of	of	ADP
ejpam-7120	238	13	the	the	DET
ejpam-7120	238	14	latent	latent	NOUN
ejpam-7120	238	15	distributions	distribution	NOUN
ejpam-7120	238	16	.	.	PUNCT
ejpam-7120	239	1	•	•	NUM
ejpam-7120	239	2	the	the	DET
ejpam-7120	239	3	triplet	triplet	NOUN
ejpam-7120	239	4	(	(	PUNCT
ejpam-7120	239	5	t	t	PROPN
ejpam-7120	239	6	,	,	PUNCT
ejpam-7120	239	7	i	i	PRON
ejpam-7120	239	8	,	,	PUNCT
ejpam-7120	239	9	f	f	X
ejpam-7120	239	10	)	)	PUNCT
ejpam-7120	239	11	provides	provide	VERB
ejpam-7120	239	12	a	a	DET
ejpam-7120	239	13	nuanced	nuanced	ADJ
ejpam-7120	239	14	similarity	similarity	NOUN
ejpam-7120	239	15	measure	measure	NOUN
ejpam-7120	239	16	for	for	ADP
ejpam-7120	239	17	clustering	clustering	NOUN
ejpam-7120	239	18	or	or	CCONJ
ejpam-7120	239	19	anomaly	anomaly	NOUN
ejpam-7120	239	20	detection	detection	NOUN
ejpam-7120	239	21	.	.	PUNCT
ejpam-7120	240	1	example	example	NOUN
ejpam-7120	240	2	5	5	NUM
ejpam-7120	240	3	(	(	PUNCT
ejpam-7120	240	4	neutrosophic	neutrosophic	PROPN
ejpam-7120	240	5	t	t	PROPN
ejpam-7120	240	6	-	-	PUNCT
ejpam-7120	240	7	sne	sne	NOUN
ejpam-7120	240	8	)	)	PUNCT
ejpam-7120	240	9	.	.	PUNCT
ejpam-7120	241	1	modify	modify	VERB
ejpam-7120	241	2	the	the	DET
ejpam-7120	241	3	t	t	PROPN
ejpam-7120	241	4	-	-	PUNCT
ejpam-7120	241	5	sne	sne	NOUN
ejpam-7120	241	6	algorithm	algorithm	NOUN
ejpam-7120	241	7	to	to	PART
ejpam-7120	241	8	use	use	VERB
ejpam-7120	241	9	the	the	DET
ejpam-7120	241	10	neutrosophic	neutrosophic	ADJ
ejpam-7120	241	11	mr	mr	PROPN
ejpam-7120	241	12	-	-	PUNCT
ejpam-7120	241	13	metric	metric	ADJ
ejpam-7120	241	14	m	m	VERB
ejpam-7120	241	15	instead	instead	ADV
ejpam-7120	241	16	of	of	ADP
ejpam-7120	241	17	euclidean	euclidean	ADJ
ejpam-7120	241	18	distance	distance	NOUN
ejpam-7120	241	19	.	.	PUNCT
ejpam-7120	242	1	the	the	DET
ejpam-7120	242	2	joint	joint	ADJ
ejpam-7120	242	3	probabilities	probability	NOUN
ejpam-7120	242	4	become	become	VERB
ejpam-7120	242	5	:	:	PUNCT
ejpam-7120	242	6	pij	pij	NOUN
ejpam-7120	242	7	=	=	PROPN
ejpam-7120	242	8	exp	exp	PROPN
ejpam-7120	242	9	(	(	PUNCT
ejpam-7120	242	10	−m(pi	−m(pi	PROPN
ejpam-7120	242	11	,	,	PUNCT
ejpam-7120	242	12	pj	pj	PROPN
ejpam-7120	242	13	,	,	PUNCT
ejpam-7120	242	14	pref)/2σ	pref)/2σ	PROPN
ejpam-7120	242	15	2	2	NUM
ejpam-7120	242	16	)	)	PUNCT
ejpam-7120	242	17	∑	∑	ADP
ejpam-7120	242	18	k	k	PROPN
ejpam-7120	242	19	6	6	NUM
ejpam-7120	242	20	=	=	PROPN
ejpam-7120	242	21	l	l	NOUN
ejpam-7120	242	22	exp	exp	NOUN
ejpam-7120	242	23	(	(	PUNCT
ejpam-7120	242	24	−m(pk	−m(pk	PROPN
ejpam-7120	242	25	,	,	PUNCT
ejpam-7120	242	26	pl	pl	NOUN
ejpam-7120	242	27	,	,	PUNCT
ejpam-7120	242	28	pref)/2σ2	pref)/2σ2	PROPN
ejpam-7120	242	29	)	)	PUNCT
ejpam-7120	242	30	,	,	PUNCT
ejpam-7120	242	31	where	where	SCONJ
ejpam-7120	242	32	pref	pref	PROPN
ejpam-7120	242	33	is	be	AUX
ejpam-7120	242	34	a	a	DET
ejpam-7120	242	35	reference	reference	NOUN
ejpam-7120	242	36	distribution	distribution	NOUN
ejpam-7120	242	37	.	.	PUNCT
ejpam-7120	243	1	this	this	PRON
ejpam-7120	243	2	incorporates	incorporate	VERB
ejpam-7120	243	3	three	three	NUM
ejpam-7120	243	4	-	-	PUNCT
ejpam-7120	243	5	way	way	NOUN
ejpam-7120	243	6	relationships	relationship	NOUN
ejpam-7120	243	7	and	and	CCONJ
ejpam-7120	243	8	uncertainty	uncertainty	NOUN
ejpam-7120	243	9	into	into	ADP
ejpam-7120	243	10	the	the	DET
ejpam-7120	243	11	visualization	visualization	NOUN
ejpam-7120	243	12	.	.	PUNCT
ejpam-7120	244	1	3.6	3.6	NUM
ejpam-7120	244	2	.	.	PUNCT
ejpam-7120	245	1	physical	physical	ADJ
ejpam-7120	245	2	and	and	CCONJ
ejpam-7120	245	3	quantum	quantum	NOUN
ejpam-7120	245	4	applications	application	NOUN
ejpam-7120	245	5	remark	remark	VERB
ejpam-7120	245	6	1	1	NUM
ejpam-7120	245	7	(	(	PUNCT
ejpam-7120	245	8	quantum	quantum	ADJ
ejpam-7120	245	9	information	information	NOUN
ejpam-7120	245	10	geometry	geometry	NOUN
ejpam-7120	245	11	)	)	PUNCT
ejpam-7120	245	12	.	.	PUNCT
ejpam-7120	246	1	in	in	ADP
ejpam-7120	246	2	quantum	quantum	ADJ
ejpam-7120	246	3	mechanics	mechanic	NOUN
ejpam-7120	246	4	,	,	PUNCT
ejpam-7120	246	5	states	state	NOUN
ejpam-7120	246	6	are	be	AUX
ejpam-7120	246	7	density	density	NOUN
ejpam-7120	246	8	matrices	matrix	NOUN
ejpam-7120	246	9	ρ	ρ	NOUN
ejpam-7120	246	10	.	.	PUNCT
ejpam-7120	247	1	the	the	DET
ejpam-7120	247	2	jensen	jensen	PROPN
ejpam-7120	247	3	–	–	PUNCT
ejpam-7120	247	4	shannon	shannon	PROPN
ejpam-7120	247	5	divergence	divergence	NOUN
ejpam-7120	247	6	can	can	AUX
ejpam-7120	247	7	be	be	AUX
ejpam-7120	247	8	extended	extend	VERB
ejpam-7120	247	9	to	to	ADP
ejpam-7120	247	10	quantum	quantum	PROPN
ejpam-7120	247	11	jsd	jsd	PROPN
ejpam-7120	248	1	[	[	X
ejpam-7120	248	2	m.	m.	NOUN
ejpam-7120	248	3	b.	b.	PROPN
ejpam-7120	248	4	et	et	PROPN
ejpam-7120	248	5	al	al	PROPN
ejpam-7120	248	6	.	.	PROPN
ejpam-7120	248	7	]	]	PUNCT
ejpam-7120	248	8	.	.	PUNCT
ejpam-7120	249	1	our	our	PRON
ejpam-7120	249	2	neutrosophic	neutrosophic	ADJ
ejpam-7120	249	3	framework	framework	NOUN
ejpam-7120	249	4	then	then	ADV
ejpam-7120	249	5	applies	apply	VERB
ejpam-7120	249	6	to	to	ADP
ejpam-7120	249	7	the	the	DET
ejpam-7120	249	8	manifold	manifold	NOUN
ejpam-7120	249	9	of	of	ADP
ejpam-7120	249	10	quantum	quantum	ADJ
ejpam-7120	249	11	states	state	NOUN
ejpam-7120	249	12	:	:	PUNCT
ejpam-7120	249	13	•	•	NUM
ejpam-7120	249	14	mr	mr	PROPN
ejpam-7120	249	15	-	-	PUNCT
ejpam-7120	249	16	metric	metric	ADJ
ejpam-7120	249	17	:	:	PUNCT
ejpam-7120	249	18	m(ρ	m(ρ	NUM
ejpam-7120	249	19	,	,	PUNCT
ejpam-7120	249	20	σ	σ	PROPN
ejpam-7120	249	21	,	,	PUNCT
ejpam-7120	249	22	τ	τ	X
ejpam-7120	249	23	)	)	PUNCT
ejpam-7120	249	24	=	=	SYM
ejpam-7120	249	25	djs(ρ‖σ	djs(ρ‖σ	PROPN
ejpam-7120	249	26	)	)	PUNCT
ejpam-7120	250	1	+	+	NOUN
ejpam-7120	250	2	djs(σ‖τ	djs(σ‖τ	NOUN
ejpam-7120	250	3	)	)	PUNCT
ejpam-7120	251	1	+	+	NOUN
ejpam-7120	251	2	djs(τ‖ρ	djs(τ‖ρ	NOUN
ejpam-7120	251	3	)	)	PUNCT
ejpam-7120	251	4	.	.	PUNCT
ejpam-7120	252	1	•	•	NUM
ejpam-7120	252	2	truth	truth	NOUN
ejpam-7120	252	3	-	-	PUNCT
ejpam-7120	252	4	membership	membership	NOUN
ejpam-7120	252	5	:	:	PUNCT
ejpam-7120	252	6	t	t	PROPN
ejpam-7120	252	7	(	(	PUNCT
ejpam-7120	252	8	ρ	ρ	PROPN
ejpam-7120	252	9	,	,	PUNCT
ejpam-7120	252	10	σ	σ	PROPN
ejpam-7120	252	11	,	,	PUNCT
ejpam-7120	252	12	γ	γ	NOUN
ejpam-7120	252	13	)	)	PUNCT
ejpam-7120	252	14	=	=	PUNCT
ejpam-7120	252	15	exp(−γ	exp(−γ	PROPN
ejpam-7120	252	16	·	·	PUNCT
ejpam-7120	252	17	djs(ρ‖σ	djs(ρ‖σ	NOUN
ejpam-7120	252	18	)	)	PUNCT
ejpam-7120	252	19	)	)	PUNCT
ejpam-7120	252	20	.	.	PUNCT
ejpam-7120	253	1	•	•	NUM
ejpam-7120	253	2	indeterminacy	indeterminacy	NOUN
ejpam-7120	253	3	-	-	PUNCT
ejpam-7120	253	4	membership	membership	NOUN
ejpam-7120	253	5	:	:	PUNCT
ejpam-7120	253	6	can	can	AUX
ejpam-7120	253	7	be	be	AUX
ejpam-7120	253	8	linked	link	VERB
ejpam-7120	253	9	to	to	ADP
ejpam-7120	253	10	quantum	quantum	PROPN
ejpam-7120	253	11	entropy	entropy	X
ejpam-7120	253	12	s(ρ	s(ρ	PROPN
ejpam-7120	253	13	)	)	PUNCT
ejpam-7120	253	14	=	=	SYM
ejpam-7120	254	1	−	−	PROPN
ejpam-7120	254	2	tr(ρ	tr(ρ	NUM
ejpam-7120	254	3	ln	ln	PROPN
ejpam-7120	254	4	ρ	ρ	NOUN
ejpam-7120	254	5	)	)	PUNCT
ejpam-7120	254	6	and	and	CCONJ
ejpam-7120	254	7	coherence	coherence	NOUN
ejpam-7120	254	8	measures	measure	NOUN
ejpam-7120	254	9	.	.	PUNCT
ejpam-7120	255	1	•	•	NUM
ejpam-7120	255	2	contraction	contraction	NOUN
ejpam-7120	255	3	constant	constant	ADJ
ejpam-7120	255	4	r	r	NOUN
ejpam-7120	255	5	:	:	PUNCT
ejpam-7120	255	6	related	relate	VERB
ejpam-7120	255	7	to	to	ADP
ejpam-7120	255	8	the	the	DET
ejpam-7120	255	9	curvature	curvature	NOUN
ejpam-7120	255	10	of	of	ADP
ejpam-7120	255	11	the	the	DET
ejpam-7120	255	12	bures	bure	NOUN
ejpam-7120	255	13	metric	metric	ADJ
ejpam-7120	255	14	,	,	PUNCT
ejpam-7120	255	15	which	which	PRON
ejpam-7120	255	16	is	be	AUX
ejpam-7120	255	17	the	the	DET
ejpam-7120	255	18	quantum	quantum	ADJ
ejpam-7120	255	19	analog	analog	NOUN
ejpam-7120	255	20	of	of	ADP
ejpam-7120	255	21	fisher	fisher	PROPN
ejpam-7120	255	22	–	–	PUNCT
ejpam-7120	255	23	rao	rao	PROPN
ejpam-7120	255	24	.	.	PUNCT
ejpam-7120	256	1	this	this	PRON
ejpam-7120	256	2	provides	provide	VERB
ejpam-7120	256	3	a	a	DET
ejpam-7120	256	4	novel	novel	ADJ
ejpam-7120	256	5	tool	tool	NOUN
ejpam-7120	256	6	for	for	ADP
ejpam-7120	256	7	analyzing	analyze	VERB
ejpam-7120	256	8	quantum	quantum	NOUN
ejpam-7120	256	9	phase	phase	NOUN
ejpam-7120	256	10	transitions	transition	NOUN
ejpam-7120	256	11	and	and	CCONJ
ejpam-7120	256	12	decoherence	decoherence	NOUN
ejpam-7120	256	13	.	.	PUNCT
ejpam-7120	257	1	4	4	X
ejpam-7120	257	2	.	.	X
ejpam-7120	257	3	conclusions	conclusion	NOUN
ejpam-7120	257	4	this	this	DET
ejpam-7120	257	5	paper	paper	NOUN
ejpam-7120	257	6	has	have	AUX
ejpam-7120	257	7	introduced	introduce	VERB
ejpam-7120	257	8	a	a	DET
ejpam-7120	257	9	comprehensive	comprehensive	ADJ
ejpam-7120	257	10	framework	framework	NOUN
ejpam-7120	257	11	for	for	ADP
ejpam-7120	257	12	neutrosophic	neutrosophic	ADJ
ejpam-7120	257	13	statistical	statistical	ADJ
ejpam-7120	257	14	manifolds	manifold	NOUN
ejpam-7120	257	15	,	,	PUNCT
ejpam-7120	257	16	bridging	bridge	VERB
ejpam-7120	257	17	the	the	DET
ejpam-7120	257	18	gap	gap	NOUN
ejpam-7120	257	19	between	between	ADP
ejpam-7120	257	20	information	information	NOUN
ejpam-7120	257	21	geometry	geometry	NOUN
ejpam-7120	257	22	and	and	CCONJ
ejpam-7120	257	23	neutrosophic	neutrosophic	ADJ
ejpam-7120	257	24	logic	logic	NOUN
ejpam-7120	257	25	.	.	PUNCT
ejpam-7120	258	1	our	our	PRON
ejpam-7120	258	2	main	main	ADJ
ejpam-7120	258	3	contributions	contribution	NOUN
ejpam-7120	258	4	can	can	AUX
ejpam-7120	258	5	be	be	AUX
ejpam-7120	258	6	summarized	summarize	VERB
ejpam-7120	258	7	as	as	SCONJ
ejpam-7120	258	8	follows	follow	VERB
ejpam-7120	258	9	:	:	PUNCT
ejpam-7120	258	10	a.	a.	NOUN
ejpam-7120	258	11	malkawi	malkawi	PROPN
ejpam-7120	258	12	,	,	PUNCT
ejpam-7120	258	13	a.	a.	PROPN
ejpam-7120	258	14	rabaiah	rabaiah	PROPN
ejpam-7120	258	15	/	/	SYM
ejpam-7120	258	16	eur	eur	PROPN
ejpam-7120	258	17	.	.	PUNCT
ejpam-7120	259	1	j.	j.	PROPN
ejpam-7120	259	2	pure	pure	PROPN
ejpam-7120	259	3	appl	appl	PROPN
ejpam-7120	259	4	.	.	PROPN
ejpam-7120	259	5	math	math	PROPN
ejpam-7120	259	6	,	,	PUNCT
ejpam-7120	259	7	18	18	NUM
ejpam-7120	259	8	(	(	PUNCT
ejpam-7120	259	9	4	4	NUM
ejpam-7120	259	10	)	)	PUNCT
ejpam-7120	259	11	(	(	PUNCT
ejpam-7120	259	12	2025	2025	NUM
ejpam-7120	259	13	)	)	PUNCT
ejpam-7120	259	14	,	,	PUNCT
ejpam-7120	259	15	7120	7120	NUM
ejpam-7120	259	16	13	13	NUM
ejpam-7120	259	17	of	of	ADP
ejpam-7120	259	18	16	16	NUM
ejpam-7120	259	19	•	•	NOUN
ejpam-7120	259	20	we	we	PRON
ejpam-7120	259	21	defined	define	VERB
ejpam-7120	259	22	a	a	DET
ejpam-7120	259	23	novel	novel	ADJ
ejpam-7120	259	24	neutrosophic	neutrosophic	ADJ
ejpam-7120	259	25	mr	mr	ADJ
ejpam-7120	259	26	-	-	PUNCT
ejpam-7120	259	27	metric	metric	ADJ
ejpam-7120	259	28	structure	structure	NOUN
ejpam-7120	259	29	on	on	ADP
ejpam-7120	259	30	statistical	statistical	ADJ
ejpam-7120	259	31	manifolds	manifold	NOUN
ejpam-7120	259	32	,	,	PUNCT
ejpam-7120	259	33	incorporating	incorporate	VERB
ejpam-7120	259	34	truth	truth	NOUN
ejpam-7120	259	35	(	(	PUNCT
ejpam-7120	259	36	t	t	NOUN
ejpam-7120	259	37	)	)	PUNCT
ejpam-7120	259	38	,	,	PUNCT
ejpam-7120	259	39	indeterminacy	indeterminacy	NOUN
ejpam-7120	259	40	(	(	PUNCT
ejpam-7120	259	41	i	i	NOUN
ejpam-7120	259	42	)	)	PUNCT
ejpam-7120	259	43	,	,	PUNCT
ejpam-7120	259	44	and	and	CCONJ
ejpam-7120	259	45	falsity	falsity	NOUN
ejpam-7120	259	46	(	(	PUNCT
ejpam-7120	259	47	f	f	X
ejpam-7120	259	48	)	)	PUNCT
ejpam-7120	259	49	membership	membership	NOUN
ejpam-7120	259	50	functions	function	NOUN
ejpam-7120	259	51	to	to	PART
ejpam-7120	259	52	quantify	quantify	VERB
ejpam-7120	259	53	distributional	distributional	ADJ
ejpam-7120	259	54	similarity	similarity	NOUN
ejpam-7120	259	55	,	,	PUNCT
ejpam-7120	259	56	epistemic	epistemic	ADJ
ejpam-7120	259	57	uncertainty	uncertainty	NOUN
ejpam-7120	259	58	,	,	PUNCT
ejpam-7120	259	59	and	and	CCONJ
ejpam-7120	259	60	dissimilarity	dissimilarity	NOUN
ejpam-7120	259	61	.	.	PUNCT
ejpam-7120	260	1	•	•	INTJ
ejpam-7120	260	2	we	we	PRON
ejpam-7120	260	3	proved	prove	VERB
ejpam-7120	260	4	that	that	SCONJ
ejpam-7120	260	5	the	the	DET
ejpam-7120	260	6	triplet	triplet	NOUN
ejpam-7120	260	7	(	(	PUNCT
ejpam-7120	260	8	t	t	PROPN
ejpam-7120	260	9	,	,	PUNCT
ejpam-7120	260	10	i	i	PRON
ejpam-7120	260	11	,	,	PUNCT
ejpam-7120	260	12	f	f	X
ejpam-7120	260	13	)	)	PUNCT
ejpam-7120	260	14	satisfies	satisfy	VERB
ejpam-7120	260	15	all	all	DET
ejpam-7120	260	16	axioms	axiom	NOUN
ejpam-7120	260	17	of	of	ADP
ejpam-7120	260	18	a	a	DET
ejpam-7120	260	19	neutrosophic	neutrosophic	ADJ
ejpam-7120	260	20	mrmetric	mrmetric	ADJ
ejpam-7120	260	21	space	space	NOUN
ejpam-7120	260	22	,	,	PUNCT
ejpam-7120	260	23	with	with	ADP
ejpam-7120	260	24	particular	particular	ADJ
ejpam-7120	260	25	attention	attention	NOUN
ejpam-7120	260	26	to	to	ADP
ejpam-7120	260	27	the	the	DET
ejpam-7120	260	28	corrected	correct	VERB
ejpam-7120	260	29	asymptotic	asymptotic	ADJ
ejpam-7120	260	30	behavior	behavior	NOUN
ejpam-7120	260	31	where	where	SCONJ
ejpam-7120	260	32	limγ→∞	limγ→∞	PROPN
ejpam-7120	260	33	t	t	X
ejpam-7120	260	34	(	(	PUNCT
ejpam-7120	260	35	p	p	X
ejpam-7120	260	36	,	,	PUNCT
ejpam-7120	260	37	q	q	ADJ
ejpam-7120	260	38	,	,	PUNCT
ejpam-7120	260	39	γ	γ	NOUN
ejpam-7120	260	40	)	)	PUNCT
ejpam-7120	260	41	=	=	SYM
ejpam-7120	260	42	0	0	NUM
ejpam-7120	261	1	for	for	ADP
ejpam-7120	261	2	p	p	PROPN
ejpam-7120	261	3	6=	6=	PROPN
ejpam-7120	261	4	q	q	NOUN
ejpam-7120	261	5	and	and	CCONJ
ejpam-7120	261	6	1	1	NUM
ejpam-7120	261	7	for	for	ADP
ejpam-7120	261	8	p	p	NOUN
ejpam-7120	261	9	=	=	PUNCT
ejpam-7120	261	10	q.	q.	NOUN
ejpam-7120	261	11	•	•	NOUN
ejpam-7120	261	12	we	we	PRON
ejpam-7120	261	13	established	establish	VERB
ejpam-7120	261	14	explicit	explicit	ADJ
ejpam-7120	261	15	relations	relation	NOUN
ejpam-7120	261	16	between	between	ADP
ejpam-7120	261	17	the	the	DET
ejpam-7120	261	18	contraction	contraction	NOUN
ejpam-7120	261	19	constant	constant	ADJ
ejpam-7120	261	20	r	r	NOUN
ejpam-7120	261	21	and	and	CCONJ
ejpam-7120	261	22	the	the	DET
ejpam-7120	261	23	curvature	curvature	NOUN
ejpam-7120	261	24	of	of	ADP
ejpam-7120	261	25	the	the	DET
ejpam-7120	261	26	underlying	underlying	ADJ
ejpam-7120	261	27	statistical	statistical	ADJ
ejpam-7120	261	28	manifold	manifold	NOUN
ejpam-7120	261	29	,	,	PUNCT
ejpam-7120	261	30	demonstrating	demonstrate	VERB
ejpam-7120	261	31	how	how	SCONJ
ejpam-7120	261	32	geometric	geometric	ADJ
ejpam-7120	261	33	properties	property	NOUN
ejpam-7120	261	34	influence	influence	VERB
ejpam-7120	261	35	the	the	DET
ejpam-7120	261	36	metric	metric	ADJ
ejpam-7120	261	37	structure	structure	NOUN
ejpam-7120	261	38	.	.	PUNCT
ejpam-7120	262	1	•	•	INTJ
ejpam-7120	262	2	we	we	PRON
ejpam-7120	262	3	provided	provide	VERB
ejpam-7120	262	4	detailed	detailed	ADJ
ejpam-7120	262	5	applications	application	NOUN
ejpam-7120	262	6	across	across	ADP
ejpam-7120	262	7	multiple	multiple	ADJ
ejpam-7120	262	8	domains	domain	NOUN
ejpam-7120	262	9	including	include	VERB
ejpam-7120	262	10	gaussian	gaussian	NOUN
ejpam-7120	262	11	and	and	CCONJ
ejpam-7120	262	12	categorical	categorical	ADJ
ejpam-7120	262	13	statistical	statistical	ADJ
ejpam-7120	262	14	manifolds	manifold	NOUN
ejpam-7120	262	15	,	,	PUNCT
ejpam-7120	262	16	hypothesis	hypothesis	NOUN
ejpam-7120	262	17	testing	testing	NOUN
ejpam-7120	262	18	,	,	PUNCT
ejpam-7120	262	19	model	model	NOUN
ejpam-7120	262	20	selection	selection	NOUN
ejpam-7120	262	21	,	,	PUNCT
ejpam-7120	262	22	geometric	geometric	ADJ
ejpam-7120	262	23	machine	machine	NOUN
ejpam-7120	262	24	learning	learning	NOUN
ejpam-7120	262	25	,	,	PUNCT
ejpam-7120	262	26	and	and	CCONJ
ejpam-7120	262	27	quantum	quantum	ADJ
ejpam-7120	262	28	information	information	NOUN
ejpam-7120	262	29	geometry	geometry	NOUN
ejpam-7120	262	30	.	.	PUNCT
ejpam-7120	263	1	•	•	NUM
ejpam-7120	263	2	the	the	DET
ejpam-7120	263	3	proposed	propose	VERB
ejpam-7120	263	4	nbic	nbic	NOUN
ejpam-7120	263	5	(	(	PUNCT
ejpam-7120	263	6	neutrosophic	neutrosophic	ADJ
ejpam-7120	263	7	bayesian	bayesian	NOUN
ejpam-7120	263	8	information	information	NOUN
ejpam-7120	263	9	criterion	criterion	NOUN
ejpam-7120	263	10	)	)	PUNCT
ejpam-7120	263	11	offers	offer	VERB
ejpam-7120	263	12	a	a	DET
ejpam-7120	263	13	novel	novel	ADJ
ejpam-7120	263	14	approach	approach	NOUN
ejpam-7120	263	15	to	to	ADP
ejpam-7120	263	16	model	model	NOUN
ejpam-7120	263	17	selection	selection	NOUN
ejpam-7120	263	18	that	that	PRON
ejpam-7120	263	19	incorporates	incorporate	VERB
ejpam-7120	263	20	epistemic	epistemic	ADJ
ejpam-7120	263	21	uncertainty	uncertainty	NOUN
ejpam-7120	263	22	quantification	quantification	NOUN
ejpam-7120	263	23	.	.	PUNCT
ejpam-7120	264	1	the	the	DET
ejpam-7120	264	2	neutrosophic	neutrosophic	ADJ
ejpam-7120	264	3	statistical	statistical	ADJ
ejpam-7120	264	4	manifold	manifold	ADJ
ejpam-7120	264	5	framework	framework	NOUN
ejpam-7120	264	6	provides	provide	VERB
ejpam-7120	264	7	a	a	DET
ejpam-7120	264	8	robust	robust	ADJ
ejpam-7120	264	9	mathematical	mathematical	ADJ
ejpam-7120	264	10	foundation	foundation	NOUN
ejpam-7120	264	11	for	for	ADP
ejpam-7120	264	12	uncertainty	uncertainty	NOUN
ejpam-7120	264	13	-	-	PUNCT
ejpam-7120	264	14	aware	aware	ADJ
ejpam-7120	264	15	data	datum	NOUN
ejpam-7120	264	16	analysis	analysis	NOUN
ejpam-7120	264	17	,	,	PUNCT
ejpam-7120	264	18	with	with	ADP
ejpam-7120	264	19	potential	potential	ADJ
ejpam-7120	264	20	applications	application	NOUN
ejpam-7120	264	21	in	in	ADP
ejpam-7120	264	22	machine	machine	NOUN
ejpam-7120	264	23	learning	learning	NOUN
ejpam-7120	264	24	,	,	PUNCT
ejpam-7120	264	25	statistical	statistical	ADJ
ejpam-7120	264	26	inference	inference	NOUN
ejpam-7120	264	27	,	,	PUNCT
ejpam-7120	264	28	and	and	CCONJ
ejpam-7120	264	29	quantum	quantum	NOUN
ejpam-7120	264	30	information	information	NOUN
ejpam-7120	264	31	theory	theory	NOUN
ejpam-7120	264	32	.	.	PUNCT
ejpam-7120	265	1	future	future	ADJ
ejpam-7120	265	2	work	work	NOUN
ejpam-7120	265	3	will	will	AUX
ejpam-7120	265	4	focus	focus	VERB
ejpam-7120	265	5	on	on	ADP
ejpam-7120	265	6	empirical	empirical	ADJ
ejpam-7120	265	7	validation	validation	NOUN
ejpam-7120	265	8	of	of	ADP
ejpam-7120	265	9	the	the	DET
ejpam-7120	265	10	proposed	propose	VERB
ejpam-7120	265	11	methods	method	NOUN
ejpam-7120	265	12	and	and	CCONJ
ejpam-7120	265	13	extensions	extension	NOUN
ejpam-7120	265	14	to	to	ADP
ejpam-7120	265	15	more	more	ADV
ejpam-7120	265	16	complex	complex	ADJ
ejpam-7120	265	17	statistical	statistical	ADJ
ejpam-7120	265	18	structures	structure	NOUN
ejpam-7120	265	19	.	.	PUNCT
ejpam-7120	266	1	references	reference	NOUN
ejpam-7120	266	2	[	[	X
ejpam-7120	266	3	1	1	NUM
ejpam-7120	266	4	]	]	PUNCT
ejpam-7120	266	5	i.	i.	PROPN
ejpam-7120	266	6	a.	a.	PROPN
ejpam-7120	266	7	bakhtin	bakhtin	PROPN
ejpam-7120	266	8	.	.	PUNCT
ejpam-7120	267	1	the	the	DET
ejpam-7120	267	2	contraction	contraction	NOUN
ejpam-7120	267	3	mapping	map	VERB
ejpam-7120	267	4	principle	principle	NOUN
ejpam-7120	267	5	in	in	ADP
ejpam-7120	267	6	almost	almost	ADV
ejpam-7120	267	7	metric	metric	ADJ
ejpam-7120	267	8	spaces	space	NOUN
ejpam-7120	267	9	.	.	PUNCT
ejpam-7120	268	1	functional	functional	ADJ
ejpam-7120	268	2	analysis	analysis	NOUN
ejpam-7120	268	3	,	,	PUNCT
ejpam-7120	268	4	30:26–37	30:26–37	PROPN
ejpam-7120	268	5	,	,	PUNCT
ejpam-7120	268	6	1989	1989	NUM
ejpam-7120	268	7	.	.	PUNCT
ejpam-7120	269	1	[	[	X
ejpam-7120	269	2	2	2	X
ejpam-7120	269	3	]	]	PUNCT
ejpam-7120	269	4	s.	s.	PROPN
ejpam-7120	269	5	czerwik	czerwik	PROPN
ejpam-7120	269	6	.	.	PUNCT
ejpam-7120	270	1	contraction	contraction	NOUN
ejpam-7120	270	2	mappings	mapping	NOUN
ejpam-7120	270	3	in	in	ADP
ejpam-7120	270	4	b	b	NOUN
ejpam-7120	270	5	-	-	ADJ
ejpam-7120	270	6	metric	metric	ADJ
ejpam-7120	270	7	spaces	space	NOUN
ejpam-7120	270	8	.	.	PUNCT
ejpam-7120	271	1	acta	acta	PROPN
ejpam-7120	271	2	mathematica	mathematica	PROPN
ejpam-7120	271	3	et	et	PROPN
ejpam-7120	271	4	informatica	informatica	PROPN
ejpam-7120	271	5	universitatis	universitatis	PROPN
ejpam-7120	271	6	ostraviensis	ostraviensis	PROPN
ejpam-7120	271	7	,	,	PUNCT
ejpam-7120	271	8	1:5–11	1:5–11	NUM
ejpam-7120	271	9	,	,	PUNCT
ejpam-7120	271	10	1993	1993	NUM
ejpam-7120	271	11	.	.	PUNCT
ejpam-7120	272	1	[	[	X
ejpam-7120	272	2	3	3	X
ejpam-7120	272	3	]	]	PUNCT
ejpam-7120	272	4	t.	t.	NOUN
ejpam-7120	272	5	qawasmeh	qawasmeh	NOUN
ejpam-7120	272	6	.	.	PUNCT
ejpam-7120	273	1	(	(	PUNCT
ejpam-7120	273	2	h	h	NOUN
ejpam-7120	273	3	,	,	PUNCT
ejpam-7120	273	4	ωb)-interpolative	ωb)-interpolative	ADJ
ejpam-7120	273	5	contractions	contraction	NOUN
ejpam-7120	273	6	in	in	ADP
ejpam-7120	273	7	ωb	ωb	NOUN
ejpam-7120	273	8	-	-	PUNCT
ejpam-7120	273	9	distance	distance	NOUN
ejpam-7120	273	10	mappings	mapping	NOUN
ejpam-7120	273	11	with	with	ADP
ejpam-7120	273	12	applications	application	NOUN
ejpam-7120	273	13	.	.	PUNCT
ejpam-7120	274	1	european	european	ADJ
ejpam-7120	274	2	journal	journal	PROPN
ejpam-7120	274	3	of	of	ADP
ejpam-7120	274	4	pure	pure	ADJ
ejpam-7120	274	5	and	and	CCONJ
ejpam-7120	274	6	applied	applied	ADJ
ejpam-7120	274	7	mathematics	mathematic	NOUN
ejpam-7120	274	8	,	,	PUNCT
ejpam-7120	274	9	16(3):1717–1730	16(3):1717–1730	NUM
ejpam-7120	274	10	,	,	PUNCT
ejpam-7120	274	11	2023	2023	NUM
ejpam-7120	274	12	.	.	PUNCT
ejpam-7120	275	1	[	[	X
ejpam-7120	275	2	4	4	X
ejpam-7120	275	3	]	]	PUNCT
ejpam-7120	275	4	t.	t.	NOUN
ejpam-7120	275	5	qawasmeh	qawasmeh	NOUN
ejpam-7120	275	6	.	.	PUNCT
ejpam-7120	276	1	h	h	NOUN
ejpam-7120	276	2	-	-	PUNCT
ejpam-7120	276	3	simulation	simulation	NOUN
ejpam-7120	276	4	functions	function	NOUN
ejpam-7120	276	5	and	and	CCONJ
ejpam-7120	276	6	ωb	ωb	NOUN
ejpam-7120	276	7	-	-	PUNCT
ejpam-7120	276	8	distance	distance	NOUN
ejpam-7120	276	9	mappings	mapping	NOUN
ejpam-7120	276	10	in	in	ADP
ejpam-7120	276	11	the	the	DET
ejpam-7120	276	12	setting	setting	NOUN
ejpam-7120	276	13	of	of	ADP
ejpam-7120	276	14	gb	gb	ADV
ejpam-7120	276	15	-	-	PUNCT
ejpam-7120	276	16	metric	metric	ADJ
ejpam-7120	276	17	spaces	space	NOUN
ejpam-7120	276	18	and	and	CCONJ
ejpam-7120	276	19	application	application	NOUN
ejpam-7120	276	20	.	.	PUNCT
ejpam-7120	277	1	nonlinear	nonlinear	ADJ
ejpam-7120	277	2	functional	functional	ADJ
ejpam-7120	277	3	analysis	analysis	NOUN
ejpam-7120	277	4	and	and	CCONJ
ejpam-7120	277	5	applications	application	NOUN
ejpam-7120	277	6	,	,	PUNCT
ejpam-7120	277	7	28(2):557–570	28(2):557–570	NOUN
ejpam-7120	277	8	,	,	PUNCT
ejpam-7120	277	9	2023	2023	NUM
ejpam-7120	277	10	.	.	PUNCT
ejpam-7120	278	1	[	[	X
ejpam-7120	278	2	5	5	NUM
ejpam-7120	278	3	]	]	PUNCT
ejpam-7120	278	4	wasfi	wasfi	NOUN
ejpam-7120	278	5	shatanawi	shatanawi	PROPN
ejpam-7120	278	6	,	,	PUNCT
ejpam-7120	278	7	georgeta	georgeta	PROPN
ejpam-7120	278	8	maniu	maniu	PROPN
ejpam-7120	278	9	,	,	PUNCT
ejpam-7120	278	10	anwar	anwar	PROPN
ejpam-7120	278	11	bataihah	bataihah	PROPN
ejpam-7120	278	12	,	,	PUNCT
ejpam-7120	278	13	and	and	CCONJ
ejpam-7120	278	14	f.	f.	PROPN
ejpam-7120	278	15	b.	b.	PROPN
ejpam-7120	278	16	ahmad	ahmad	PROPN
ejpam-7120	278	17	.	.	PUNCT
ejpam-7120	279	1	common	common	ADJ
ejpam-7120	279	2	fixed	fix	VERB
ejpam-7120	279	3	points	point	NOUN
ejpam-7120	279	4	for	for	ADP
ejpam-7120	279	5	mappings	mapping	NOUN
ejpam-7120	279	6	of	of	ADP
ejpam-7120	279	7	cyclic	cyclic	ADJ
ejpam-7120	279	8	form	form	NOUN
ejpam-7120	279	9	satisfying	satisfy	VERB
ejpam-7120	279	10	linear	linear	PROPN
ejpam-7120	279	11	contractive	contractive	ADJ
ejpam-7120	279	12	conditions	condition	NOUN
ejpam-7120	279	13	with	with	ADP
ejpam-7120	279	14	omega	omega	NOUN
ejpam-7120	279	15	-	-	PUNCT
ejpam-7120	279	16	distance	distance	NOUN
ejpam-7120	279	17	.	.	PUNCT
ejpam-7120	280	1	upb	upb	ADJ
ejpam-7120	280	2	scientific	scientific	ADJ
ejpam-7120	280	3	bulletin	bulletin	NOUN
ejpam-7120	280	4	,	,	PUNCT
ejpam-7120	280	5	series	series	PROPN
ejpam-7120	280	6	a	a	PRON
ejpam-7120	280	7	:	:	PUNCT
ejpam-7120	280	8	applied	apply	VERB
ejpam-7120	280	9	mathematics	mathematic	NOUN
ejpam-7120	280	10	and	and	CCONJ
ejpam-7120	280	11	physics	physics	NOUN
ejpam-7120	280	12	,	,	PUNCT
ejpam-7120	280	13	79:11–20	79:11–20	NUM
ejpam-7120	280	14	,	,	PUNCT
ejpam-7120	280	15	2017	2017	NUM
ejpam-7120	280	16	.	.	PUNCT
ejpam-7120	281	1	[	[	X
ejpam-7120	281	2	6	6	NUM
ejpam-7120	281	3	]	]	PUNCT
ejpam-7120	281	4	a.	a.	NOUN
ejpam-7120	281	5	bataihah	bataihah	PROPN
ejpam-7120	281	6	,	,	PUNCT
ejpam-7120	281	7	t.	t.	NOUN
ejpam-7120	281	8	qawasmeh	qawasmeh	NOUN
ejpam-7120	281	9	,	,	PUNCT
ejpam-7120	281	10	i.	i.	PROPN
ejpam-7120	281	11	batiha	batiha	PROPN
ejpam-7120	281	12	,	,	PUNCT
ejpam-7120	281	13	i.	i.	PROPN
ejpam-7120	281	14	m.	m.	PROPN
ejpam-7120	281	15	batiha	batiha	PROPN
ejpam-7120	281	16	,	,	PUNCT
ejpam-7120	281	17	and	and	CCONJ
ejpam-7120	281	18	t.	t.	PROPN
ejpam-7120	281	19	abdeljawad	abdeljawad	NOUN
ejpam-7120	281	20	.	.	PUNCT
ejpam-7120	282	1	gamma	gamma	NOUN
ejpam-7120	282	2	distance	distance	NOUN
ejpam-7120	282	3	mappings	mapping	NOUN
ejpam-7120	282	4	with	with	ADP
ejpam-7120	282	5	application	application	NOUN
ejpam-7120	282	6	to	to	ADP
ejpam-7120	282	7	fractional	fractional	ADJ
ejpam-7120	282	8	boundary	boundary	ADJ
ejpam-7120	282	9	differential	differential	NOUN
ejpam-7120	282	10	equation	equation	NOUN
ejpam-7120	282	11	.	.	PUNCT
ejpam-7120	283	1	journal	journal	PROPN
ejpam-7120	283	2	of	of	ADP
ejpam-7120	283	3	mathematical	mathematical	ADJ
ejpam-7120	283	4	analysis	analysis	NOUN
ejpam-7120	283	5	,	,	PUNCT
ejpam-7120	283	6	15(5):99–106	15(5):99–106	NUM
ejpam-7120	283	7	,	,	PUNCT
ejpam-7120	283	8	2024	2024	NUM
ejpam-7120	283	9	.	.	PUNCT
ejpam-7120	284	1	a.	a.	PROPN
ejpam-7120	284	2	malkawi	malkawi	PROPN
ejpam-7120	284	3	,	,	PUNCT
ejpam-7120	284	4	a.	a.	PROPN
ejpam-7120	284	5	rabaiah	rabaiah	PROPN
ejpam-7120	284	6	/	/	SYM
ejpam-7120	284	7	eur	eur	PROPN
ejpam-7120	284	8	.	.	PUNCT
ejpam-7120	285	1	j.	j.	PROPN
ejpam-7120	285	2	pure	pure	PROPN
ejpam-7120	285	3	appl	appl	PROPN
ejpam-7120	285	4	.	.	PROPN
ejpam-7120	285	5	math	math	PROPN
ejpam-7120	285	6	,	,	PUNCT
ejpam-7120	285	7	18	18	NUM
ejpam-7120	285	8	(	(	PUNCT
ejpam-7120	285	9	4	4	NUM
ejpam-7120	285	10	)	)	PUNCT
ejpam-7120	285	11	(	(	PUNCT
ejpam-7120	285	12	2025	2025	NUM
ejpam-7120	285	13	)	)	PUNCT
ejpam-7120	285	14	,	,	PUNCT
ejpam-7120	285	15	7120	7120	NUM
ejpam-7120	285	16	14	14	NUM
ejpam-7120	285	17	of	of	ADP
ejpam-7120	285	18	16	16	NUM
ejpam-7120	286	1	[	[	X
ejpam-7120	286	2	7	7	NUM
ejpam-7120	286	3	]	]	X
ejpam-7120	286	4	i.	i.	PROPN
ejpam-7120	286	5	abu	abu	PROPN
ejpam-7120	286	6	-	-	PUNCT
ejpam-7120	286	7	irwaq	irwaq	PROPN
ejpam-7120	286	8	,	,	PUNCT
ejpam-7120	286	9	w.	w.	PROPN
ejpam-7120	286	10	shatanawi	shatanawi	PROPN
ejpam-7120	286	11	,	,	PUNCT
ejpam-7120	286	12	a.	a.	NOUN
ejpam-7120	286	13	bataihah	bataihah	PROPN
ejpam-7120	286	14	,	,	PUNCT
ejpam-7120	286	15	and	and	CCONJ
ejpam-7120	286	16	i.	i.	PROPN
ejpam-7120	286	17	nuseir	nuseir	PROPN
ejpam-7120	286	18	.	.	PUNCT
ejpam-7120	287	1	fixed	fix	VERB
ejpam-7120	287	2	point	point	NOUN
ejpam-7120	287	3	results	result	NOUN
ejpam-7120	287	4	for	for	ADP
ejpam-7120	287	5	nonlinear	nonlinear	ADJ
ejpam-7120	287	6	contractions	contraction	NOUN
ejpam-7120	287	7	with	with	ADP
ejpam-7120	287	8	generalized	generalized	ADJ
ejpam-7120	287	9	ω	ω	NUM
ejpam-7120	287	10	-	-	PUNCT
ejpam-7120	287	11	distance	distance	NOUN
ejpam-7120	287	12	mappings	mapping	NOUN
ejpam-7120	287	13	.	.	PUNCT
ejpam-7120	288	1	upb	upb	ADJ
ejpam-7120	288	2	scientific	scientific	ADJ
ejpam-7120	288	3	bulletin	bulletin	NOUN
ejpam-7120	288	4	,	,	PUNCT
ejpam-7120	288	5	series	series	NOUN
ejpam-7120	288	6	a	a	NOUN
ejpam-7120	288	7	,	,	PUNCT
ejpam-7120	288	8	81(1):57–64	81(1):57–64	NUM
ejpam-7120	288	9	,	,	PUNCT
ejpam-7120	288	10	2019	2019	NUM
ejpam-7120	288	11	.	.	PUNCT
ejpam-7120	289	1	[	[	X
ejpam-7120	289	2	8	8	NUM
ejpam-7120	289	3	]	]	X
ejpam-7120	289	4	anwar	anwar	PROPN
ejpam-7120	289	5	bataihah	bataihah	PROPN
ejpam-7120	289	6	,	,	PUNCT
ejpam-7120	289	7	tariq	tariq	NOUN
ejpam-7120	289	8	qawasmeh	qawasmeh	NOUN
ejpam-7120	289	9	,	,	PUNCT
ejpam-7120	289	10	and	and	CCONJ
ejpam-7120	289	11	mutaz	mutaz	NOUN
ejpam-7120	289	12	shatnawi	shatnawi	ADJ
ejpam-7120	289	13	.	.	PUNCT
ejpam-7120	290	1	discussion	discussion	NOUN
ejpam-7120	290	2	on	on	ADP
ejpam-7120	290	3	b	b	X
ejpam-7120	290	4	-	-	ADJ
ejpam-7120	290	5	metric	metric	ADJ
ejpam-7120	290	6	spaces	space	NOUN
ejpam-7120	290	7	and	and	CCONJ
ejpam-7120	290	8	related	relate	VERB
ejpam-7120	290	9	results	result	NOUN
ejpam-7120	290	10	in	in	ADP
ejpam-7120	290	11	metric	metric	ADJ
ejpam-7120	290	12	and	and	CCONJ
ejpam-7120	290	13	g	g	NOUN
ejpam-7120	290	14	-	-	PUNCT
ejpam-7120	290	15	metric	metric	ADJ
ejpam-7120	290	16	spaces	space	NOUN
ejpam-7120	290	17	.	.	PUNCT
ejpam-7120	291	1	nonlinear	nonlinear	ADJ
ejpam-7120	291	2	functional	functional	ADJ
ejpam-7120	291	3	analysis	analysis	NOUN
ejpam-7120	291	4	and	and	CCONJ
ejpam-7120	291	5	applications	application	NOUN
ejpam-7120	291	6	,	,	PUNCT
ejpam-7120	291	7	27:233–247	27:233–247	NUM
ejpam-7120	291	8	,	,	PUNCT
ejpam-7120	291	9	2022	2022	NUM
ejpam-7120	291	10	.	.	PUNCT
ejpam-7120	292	1	[	[	X
ejpam-7120	292	2	9	9	NUM
ejpam-7120	292	3	]	]	PUNCT
ejpam-7120	292	4	a.	a.	NOUN
ejpam-7120	292	5	bataihah	bataihah	PROPN
ejpam-7120	292	6	,	,	PUNCT
ejpam-7120	292	7	a.	a.	NOUN
ejpam-7120	292	8	tallafha	tallafha	NOUN
ejpam-7120	292	9	,	,	PUNCT
ejpam-7120	292	10	and	and	CCONJ
ejpam-7120	292	11	w.	w.	PROPN
ejpam-7120	292	12	shatanawi	shatanawi	PROPN
ejpam-7120	292	13	.	.	PUNCT
ejpam-7120	293	1	fixed	fix	VERB
ejpam-7120	293	2	point	point	NOUN
ejpam-7120	293	3	results	result	NOUN
ejpam-7120	293	4	with	with	ADP
ejpam-7120	293	5	ω	ω	NOUN
ejpam-7120	293	6	-	-	PUNCT
ejpam-7120	293	7	distance	distance	NOUN
ejpam-7120	293	8	by	by	ADP
ejpam-7120	293	9	utilizing	utilize	VERB
ejpam-7120	293	10	simulation	simulation	NOUN
ejpam-7120	293	11	functions	function	NOUN
ejpam-7120	293	12	.	.	PUNCT
ejpam-7120	294	1	italian	italian	ADJ
ejpam-7120	294	2	journal	journal	NOUN
ejpam-7120	294	3	of	of	ADP
ejpam-7120	294	4	pure	pure	ADJ
ejpam-7120	294	5	and	and	CCONJ
ejpam-7120	294	6	applied	applied	ADJ
ejpam-7120	294	7	mathematics	mathematic	NOUN
ejpam-7120	294	8	,	,	PUNCT
ejpam-7120	294	9	(	(	PUNCT
ejpam-7120	294	10	43):185–196	43):185–196	NOUN
ejpam-7120	294	11	,	,	PUNCT
ejpam-7120	294	12	2017	2017	NUM
ejpam-7120	294	13	.	.	PUNCT
ejpam-7120	295	1	[	[	X
ejpam-7120	295	2	10	10	NUM
ejpam-7120	295	3	]	]	PUNCT
ejpam-7120	295	4	t.	t.	NOUN
ejpam-7120	295	5	qawasmeh	qawasmeh	NOUN
ejpam-7120	295	6	,	,	PUNCT
ejpam-7120	295	7	w.	w.	PROPN
ejpam-7120	295	8	shatanawi	shatanawi	PROPN
ejpam-7120	295	9	,	,	PUNCT
ejpam-7120	295	10	a.	a.	NOUN
ejpam-7120	295	11	bataihah	bataihah	PROPN
ejpam-7120	295	12	,	,	PUNCT
ejpam-7120	295	13	and	and	CCONJ
ejpam-7120	295	14	a.	a.	NOUN
ejpam-7120	295	15	tallafha	tallafha	NOUN
ejpam-7120	295	16	.	.	PUNCT
ejpam-7120	296	1	common	common	ADJ
ejpam-7120	296	2	fixed	fix	VERB
ejpam-7120	296	3	point	point	NOUN
ejpam-7120	296	4	results	result	NOUN
ejpam-7120	296	5	for	for	ADP
ejpam-7120	296	6	rational	rational	ADJ
ejpam-7120	296	7	(	(	PUNCT
ejpam-7120	296	8	α	α	NOUN
ejpam-7120	296	9	,	,	PUNCT
ejpam-7120	296	10	β)φ	β)φ	ADJ
ejpam-7120	296	11	-	-	PUNCT
ejpam-7120	296	12	mω	mω	NOUN
ejpam-7120	296	13	contractions	contraction	NOUN
ejpam-7120	296	14	in	in	ADP
ejpam-7120	296	15	complete	complete	ADJ
ejpam-7120	296	16	quasi	quasi	ADJ
ejpam-7120	296	17	metric	metric	ADJ
ejpam-7120	296	18	spaces	space	NOUN
ejpam-7120	296	19	.	.	PUNCT
ejpam-7120	297	1	mathematics	mathematic	NOUN
ejpam-7120	297	2	,	,	PUNCT
ejpam-7120	297	3	7(5):392	7(5):392	NUM
ejpam-7120	297	4	,	,	PUNCT
ejpam-7120	297	5	2019	2019	NUM
ejpam-7120	297	6	.	.	PUNCT
ejpam-7120	298	1	[	[	X
ejpam-7120	298	2	11	11	NUM
ejpam-7120	298	3	]	]	PUNCT
ejpam-7120	298	4	wasfi	wasfi	NOUN
ejpam-7120	298	5	shatanawi	shatanawi	PROPN
ejpam-7120	298	6	,	,	PUNCT
ejpam-7120	298	7	anwar	anwar	PROPN
ejpam-7120	298	8	bataihah	bataihah	PROPN
ejpam-7120	298	9	,	,	PUNCT
ejpam-7120	298	10	and	and	CCONJ
ejpam-7120	298	11	ariana	ariana	PROPN
ejpam-7120	298	12	pitea	pitea	NOUN
ejpam-7120	298	13	.	.	PUNCT
ejpam-7120	299	1	fixed	fix	VERB
ejpam-7120	299	2	and	and	CCONJ
ejpam-7120	299	3	common	common	ADJ
ejpam-7120	299	4	fixed	fix	VERB
ejpam-7120	299	5	point	point	NOUN
ejpam-7120	299	6	results	result	NOUN
ejpam-7120	299	7	for	for	ADP
ejpam-7120	299	8	cyclic	cyclic	ADJ
ejpam-7120	299	9	mappings	mapping	NOUN
ejpam-7120	299	10	of	of	ADP
ejpam-7120	299	11	ω	ω	NOUN
ejpam-7120	299	12	-	-	PUNCT
ejpam-7120	299	13	distance	distance	NOUN
ejpam-7120	299	14	.	.	PUNCT
ejpam-7120	300	1	journal	journal	PROPN
ejpam-7120	300	2	of	of	ADP
ejpam-7120	300	3	nonlinear	nonlinear	ADJ
ejpam-7120	300	4	science	science	NOUN
ejpam-7120	300	5	and	and	CCONJ
ejpam-7120	300	6	applications	application	NOUN
ejpam-7120	300	7	,	,	PUNCT
ejpam-7120	300	8	9:727–735	9:727–735	NUM
ejpam-7120	300	9	,	,	PUNCT
ejpam-7120	300	10	2016	2016	NUM
ejpam-7120	300	11	.	.	PUNCT
ejpam-7120	301	1	[	[	X
ejpam-7120	301	2	12	12	NUM
ejpam-7120	301	3	]	]	X
ejpam-7120	301	4	a.	a.	NOUN
ejpam-7120	301	5	malkawi	malkawi	PROPN
ejpam-7120	301	6	,	,	PUNCT
ejpam-7120	301	7	a.	a.	PROPN
ejpam-7120	301	8	rabaiah	rabaiah	PROPN
ejpam-7120	301	9	,	,	PUNCT
ejpam-7120	301	10	w.	w.	PROPN
ejpam-7120	301	11	shatanawi	shatanawi	PROPN
ejpam-7120	301	12	,	,	PUNCT
ejpam-7120	301	13	and	and	CCONJ
ejpam-7120	301	14	a.	a.	NOUN
ejpam-7120	301	15	talafhah	talafhah	PROPN
ejpam-7120	301	16	.	.	PUNCT
ejpam-7120	302	1	mr	mr	PROPN
ejpam-7120	302	2	-	-	PUNCT
ejpam-7120	302	3	metric	metric	ADJ
ejpam-7120	302	4	spaces	space	NOUN
ejpam-7120	302	5	and	and	CCONJ
ejpam-7120	302	6	an	an	DET
ejpam-7120	302	7	application	application	NOUN
ejpam-7120	302	8	,	,	PUNCT
ejpam-7120	302	9	2021	2021	NUM
ejpam-7120	302	10	.	.	PUNCT
ejpam-7120	303	1	preprint	preprint	NOUN
ejpam-7120	303	2	.	.	PUNCT
ejpam-7120	304	1	[	[	X
ejpam-7120	304	2	13	13	NUM
ejpam-7120	304	3	]	]	X
ejpam-7120	304	4	a.	a.	NOUN
ejpam-7120	304	5	malkawi	malkawi	PROPN
ejpam-7120	304	6	,	,	PUNCT
ejpam-7120	304	7	a.	a.	NOUN
ejpam-7120	304	8	talafhah	talafhah	PROPN
ejpam-7120	304	9	,	,	PUNCT
ejpam-7120	304	10	and	and	CCONJ
ejpam-7120	304	11	w.	w.	PROPN
ejpam-7120	304	12	shatanawi	shatanawi	PROPN
ejpam-7120	304	13	.	.	PUNCT
ejpam-7120	305	1	coincidence	coincidence	NOUN
ejpam-7120	305	2	and	and	CCONJ
ejpam-7120	305	3	fixed	fix	VERB
ejpam-7120	305	4	point	point	NOUN
ejpam-7120	305	5	results	result	NOUN
ejpam-7120	305	6	for	for	ADP
ejpam-7120	305	7	(	(	PUNCT
ejpam-7120	305	8	ψ	ψ	X
ejpam-7120	305	9	,	,	PUNCT
ejpam-7120	305	10	l)-mweak	l)-mweak	NOUN
ejpam-7120	305	11	contraction	contraction	NOUN
ejpam-7120	305	12	mapping	mapping	NOUN
ejpam-7120	305	13	on	on	ADP
ejpam-7120	305	14	mb	mb	ADJ
ejpam-7120	305	15	-	-	ADJ
ejpam-7120	305	16	metric	metric	ADJ
ejpam-7120	305	17	spaces	space	NOUN
ejpam-7120	305	18	.	.	PUNCT
ejpam-7120	306	1	italian	italian	ADJ
ejpam-7120	306	2	journal	journal	NOUN
ejpam-7120	306	3	of	of	ADP
ejpam-7120	306	4	pure	pure	ADJ
ejpam-7120	306	5	and	and	CCONJ
ejpam-7120	306	6	applied	applied	ADJ
ejpam-7120	306	7	mathematics	mathematic	NOUN
ejpam-7120	306	8	,	,	PUNCT
ejpam-7120	306	9	(	(	PUNCT
ejpam-7120	306	10	47):751–768	47):751–768	NOUN
ejpam-7120	306	11	,	,	PUNCT
ejpam-7120	306	12	2022	2022	NUM
ejpam-7120	306	13	.	.	PUNCT
ejpam-7120	307	1	[	[	X
ejpam-7120	307	2	14	14	NUM
ejpam-7120	307	3	]	]	X
ejpam-7120	307	4	a.	a.	NOUN
ejpam-7120	307	5	malkawi	malkawi	PROPN
ejpam-7120	307	6	,	,	PUNCT
ejpam-7120	307	7	a.	a.	NOUN
ejpam-7120	307	8	tallafha	tallafha	NOUN
ejpam-7120	307	9	,	,	PUNCT
ejpam-7120	307	10	and	and	CCONJ
ejpam-7120	307	11	w.	w.	PROPN
ejpam-7120	307	12	shatanawi	shatanawi	PROPN
ejpam-7120	307	13	.	.	PUNCT
ejpam-7120	308	1	coincidence	coincidence	NOUN
ejpam-7120	308	2	and	and	CCONJ
ejpam-7120	308	3	fixed	fix	VERB
ejpam-7120	308	4	point	point	NOUN
ejpam-7120	308	5	results	result	NOUN
ejpam-7120	308	6	for	for	ADP
ejpam-7120	308	7	generalized	generalized	ADJ
ejpam-7120	308	8	weak	weak	ADJ
ejpam-7120	308	9	contraction	contraction	NOUN
ejpam-7120	308	10	mapping	mapping	NOUN
ejpam-7120	308	11	on	on	ADP
ejpam-7120	308	12	b	b	NOUN
ejpam-7120	308	13	-	-	PUNCT
ejpam-7120	308	14	metric	metric	ADJ
ejpam-7120	308	15	spaces	space	NOUN
ejpam-7120	308	16	.	.	PUNCT
ejpam-7120	309	1	nonlinear	nonlinear	ADJ
ejpam-7120	309	2	functional	functional	ADJ
ejpam-7120	309	3	analysis	analysis	NOUN
ejpam-7120	309	4	and	and	CCONJ
ejpam-7120	309	5	applications	application	NOUN
ejpam-7120	309	6	,	,	PUNCT
ejpam-7120	309	7	26(1):177–195	26(1):177–195	NOUN
ejpam-7120	309	8	,	,	PUNCT
ejpam-7120	309	9	2021	2021	NUM
ejpam-7120	309	10	.	.	PUNCT
ejpam-7120	310	1	[	[	X
ejpam-7120	310	2	15	15	NUM
ejpam-7120	310	3	]	]	X
ejpam-7120	310	4	a.	a.	NOUN
ejpam-7120	310	5	a.	a.	PROPN
ejpam-7120	310	6	r.	r.	PROPN
ejpam-7120	310	7	m.	m.	PROPN
ejpam-7120	310	8	malkawi	malkawi	PROPN
ejpam-7120	310	9	,	,	PUNCT
ejpam-7120	310	10	d.	d.	PROPN
ejpam-7120	310	11	mahmoud	mahmoud	PROPN
ejpam-7120	310	12	,	,	PUNCT
ejpam-7120	310	13	a.	a.	PROPN
ejpam-7120	310	14	m.	m.	PROPN
ejpam-7120	310	15	rabaiah	rabaiah	PROPN
ejpam-7120	310	16	,	,	PUNCT
ejpam-7120	310	17	r.	r.	PROPN
ejpam-7120	310	18	al	al	PROPN
ejpam-7120	310	19	-	-	PUNCT
ejpam-7120	310	20	deiakeh	deiakeh	PROPN
ejpam-7120	310	21	,	,	PUNCT
ejpam-7120	310	22	and	and	CCONJ
ejpam-7120	310	23	w.	w.	PROPN
ejpam-7120	310	24	shatanawi	shatanawi	PROPN
ejpam-7120	310	25	.	.	PUNCT
ejpam-7120	311	1	on	on	ADP
ejpam-7120	311	2	fixed	fix	VERB
ejpam-7120	311	3	point	point	NOUN
ejpam-7120	311	4	theorems	theorem	NOUN
ejpam-7120	311	5	in	in	ADP
ejpam-7120	311	6	mr	mr	PROPN
ejpam-7120	311	7	-	-	PUNCT
ejpam-7120	311	8	metric	metric	ADJ
ejpam-7120	311	9	spaces	space	NOUN
ejpam-7120	311	10	.	.	PUNCT
ejpam-7120	312	1	nonlinear	nonlinear	ADJ
ejpam-7120	312	2	functional	functional	ADJ
ejpam-7120	312	3	analysis	analysis	NOUN
ejpam-7120	312	4	and	and	CCONJ
ejpam-7120	312	5	applications	application	NOUN
ejpam-7120	312	6	,	,	PUNCT
ejpam-7120	312	7	29(4):1125–1136	29(4):1125–1136	NUM
ejpam-7120	312	8	,	,	PUNCT
ejpam-7120	312	9	2024	2024	NUM
ejpam-7120	312	10	.	.	PUNCT
ejpam-7120	313	1	[	[	X
ejpam-7120	313	2	16	16	NUM
ejpam-7120	313	3	]	]	X
ejpam-7120	313	4	g.	g.	PROPN
ejpam-7120	313	5	gharib	gharib	PROPN
ejpam-7120	313	6	,	,	PUNCT
ejpam-7120	313	7	a.	a.	PROPN
ejpam-7120	313	8	malkawi	malkawi	PROPN
ejpam-7120	313	9	,	,	PUNCT
ejpam-7120	313	10	a.	a.	PROPN
ejpam-7120	313	11	rabaiah	rabaiah	PROPN
ejpam-7120	313	12	,	,	PUNCT
ejpam-7120	313	13	w.	w.	PROPN
ejpam-7120	313	14	shatanawi	shatanawi	PROPN
ejpam-7120	313	15	,	,	PUNCT
ejpam-7120	313	16	and	and	CCONJ
ejpam-7120	313	17	m.	m.	NOUN
ejpam-7120	313	18	alsauodi	alsauodi	PROPN
ejpam-7120	313	19	.	.	PUNCT
ejpam-7120	314	1	a	a	DET
ejpam-7120	314	2	common	common	ADJ
ejpam-7120	314	3	fixed	fix	VERB
ejpam-7120	314	4	point	point	NOUN
ejpam-7120	314	5	theorem	theorem	VERB
ejpam-7120	314	6	in	in	ADP
ejpam-7120	314	7	m*-metric	m*-metric	ADV
ejpam-7120	314	8	space	space	NOUN
ejpam-7120	314	9	and	and	CCONJ
ejpam-7120	314	10	an	an	DET
ejpam-7120	314	11	application	application	NOUN
ejpam-7120	314	12	.	.	PUNCT
ejpam-7120	315	1	nonlinear	nonlinear	ADJ
ejpam-7120	315	2	functional	functional	ADJ
ejpam-7120	315	3	analysis	analysis	NOUN
ejpam-7120	315	4	and	and	CCONJ
ejpam-7120	315	5	applications	application	NOUN
ejpam-7120	315	6	,	,	PUNCT
ejpam-7120	315	7	27(2):289–308	27(2):289–308	NUM
ejpam-7120	315	8	,	,	PUNCT
ejpam-7120	315	9	2022	2022	NUM
ejpam-7120	315	10	.	.	PUNCT
ejpam-7120	316	1	[	[	X
ejpam-7120	316	2	17	17	NUM
ejpam-7120	316	3	]	]	PUNCT
ejpam-7120	316	4	a.	a.	NOUN
ejpam-7120	316	5	a.	a.	PROPN
ejpam-7120	316	6	r.	r.	PROPN
ejpam-7120	316	7	m.	m.	PROPN
ejpam-7120	316	8	malkawi	malkawi	PROPN
ejpam-7120	316	9	.	.	PROPN
ejpam-7120	317	1	existence	existence	NOUN
ejpam-7120	317	2	and	and	CCONJ
ejpam-7120	317	3	uniqueness	uniqueness	NOUN
ejpam-7120	317	4	of	of	ADP
ejpam-7120	317	5	fixed	fix	VERB
ejpam-7120	317	6	points	point	NOUN
ejpam-7120	317	7	in	in	ADP
ejpam-7120	317	8	mr	mr	PROPN
ejpam-7120	317	9	-	-	PUNCT
ejpam-7120	317	10	metric	metric	ADJ
ejpam-7120	317	11	spaces	space	NOUN
ejpam-7120	317	12	and	and	CCONJ
ejpam-7120	317	13	their	their	PRON
ejpam-7120	317	14	applications	application	NOUN
ejpam-7120	317	15	.	.	PUNCT
ejpam-7120	318	1	european	european	ADJ
ejpam-7120	318	2	journal	journal	PROPN
ejpam-7120	318	3	of	of	ADP
ejpam-7120	318	4	pure	pure	ADJ
ejpam-7120	318	5	and	and	CCONJ
ejpam-7120	318	6	applied	applied	ADJ
ejpam-7120	318	7	mathematics	mathematic	NOUN
ejpam-7120	318	8	,	,	PUNCT
ejpam-7120	318	9	18(2):id	18(2):id	NUM
ejpam-7120	318	10	:	:	PUNCT
ejpam-7120	318	11	6077	6077	NUM
ejpam-7120	318	12	,	,	PUNCT
ejpam-7120	318	13	2025	2025	NUM
ejpam-7120	318	14	.	.	PUNCT
ejpam-7120	319	1	[	[	X
ejpam-7120	319	2	18	18	NUM
ejpam-7120	319	3	]	]	PUNCT
ejpam-7120	319	4	a.	a.	NOUN
ejpam-7120	319	5	a.	a.	PROPN
ejpam-7120	319	6	r.	r.	PROPN
ejpam-7120	319	7	m.	m.	PROPN
ejpam-7120	319	8	malkawi	malkawi	PROPN
ejpam-7120	319	9	.	.	PROPN
ejpam-7120	320	1	convergence	convergence	NOUN
ejpam-7120	320	2	and	and	CCONJ
ejpam-7120	320	3	fixed	fix	VERB
ejpam-7120	320	4	points	point	NOUN
ejpam-7120	320	5	of	of	ADP
ejpam-7120	320	6	self	self	NOUN
ejpam-7120	320	7	-	-	PUNCT
ejpam-7120	320	8	mappings	mapping	NOUN
ejpam-7120	320	9	in	in	ADP
ejpam-7120	320	10	mr	mr	PROPN
ejpam-7120	320	11	-	-	PUNCT
ejpam-7120	320	12	metric	metric	ADJ
ejpam-7120	320	13	spaces	space	NOUN
ejpam-7120	320	14	:	:	PUNCT
ejpam-7120	320	15	theory	theory	NOUN
ejpam-7120	320	16	and	and	CCONJ
ejpam-7120	320	17	applications	application	NOUN
ejpam-7120	320	18	.	.	PUNCT
ejpam-7120	321	1	european	european	ADJ
ejpam-7120	321	2	journal	journal	PROPN
ejpam-7120	321	3	of	of	ADP
ejpam-7120	321	4	pure	pure	ADJ
ejpam-7120	321	5	and	and	CCONJ
ejpam-7120	321	6	applied	applied	ADJ
ejpam-7120	321	7	mathematics	mathematic	NOUN
ejpam-7120	321	8	,	,	PUNCT
ejpam-7120	321	9	18(2):id	18(2):id	NUM
ejpam-7120	321	10	:	:	SYM
ejpam-7120	321	11	5952	5952	NUM
ejpam-7120	321	12	,	,	PUNCT
ejpam-7120	321	13	2025	2025	NUM
ejpam-7120	321	14	.	.	PUNCT
ejpam-7120	322	1	[	[	X
ejpam-7120	322	2	19	19	NUM
ejpam-7120	322	3	]	]	PUNCT
ejpam-7120	322	4	a.	a.	NOUN
ejpam-7120	322	5	a.	a.	PROPN
ejpam-7120	322	6	r.	r.	PROPN
ejpam-7120	322	7	m.	m.	PROPN
ejpam-7120	322	8	malkawi	malkawi	PROPN
ejpam-7120	322	9	.	.	PUNCT
ejpam-7120	322	10	fixed	fix	VERB
ejpam-7120	322	11	point	point	NOUN
ejpam-7120	322	12	theorem	theorem	VERB
ejpam-7120	322	13	in	in	ADP
ejpam-7120	322	14	mr	mr	PROPN
ejpam-7120	322	15	-	-	PUNCT
ejpam-7120	322	16	metric	metric	ADJ
ejpam-7120	322	17	spaces	space	NOUN
ejpam-7120	322	18	via	via	ADP
ejpam-7120	322	19	integral	integral	ADJ
ejpam-7120	322	20	type	type	NOUN
ejpam-7120	322	21	contraction	contraction	NOUN
ejpam-7120	322	22	.	.	PUNCT
ejpam-7120	323	1	wseas	wseas	VERB
ejpam-7120	323	2	transactions	transaction	NOUN
ejpam-7120	323	3	on	on	ADP
ejpam-7120	323	4	mathematics	mathematic	NOUN
ejpam-7120	323	5	,	,	PUNCT
ejpam-7120	323	6	24:295–299	24:295–299	PROPN
ejpam-7120	323	7	,	,	PUNCT
ejpam-7120	323	8	2025	2025	NUM
ejpam-7120	323	9	.	.	PUNCT
ejpam-7120	324	1	[	[	X
ejpam-7120	324	2	20	20	NUM
ejpam-7120	324	3	]	]	PUNCT
ejpam-7120	324	4	t.	t.	NOUN
ejpam-7120	324	5	qawasmeh	qawasmeh	NOUN
ejpam-7120	324	6	and	and	CCONJ
ejpam-7120	324	7	a.	a.	NOUN
ejpam-7120	324	8	malkawi	malkawi	PROPN
ejpam-7120	324	9	.	.	PUNCT
ejpam-7120	324	10	fixed	fix	VERB
ejpam-7120	324	11	point	point	NOUN
ejpam-7120	324	12	theory	theory	NOUN
ejpam-7120	324	13	in	in	ADP
ejpam-7120	324	14	mr	mr	PROPN
ejpam-7120	324	15	-	-	PUNCT
ejpam-7120	324	16	metric	metric	ADJ
ejpam-7120	324	17	spaces	space	NOUN
ejpam-7120	324	18	:	:	PUNCT
ejpam-7120	324	19	fundamental	fundamental	ADJ
ejpam-7120	324	20	theorems	theorem	NOUN
ejpam-7120	324	21	and	and	CCONJ
ejpam-7120	324	22	applications	application	NOUN
ejpam-7120	324	23	to	to	ADP
ejpam-7120	324	24	integral	integral	ADJ
ejpam-7120	324	25	equations	equation	NOUN
ejpam-7120	324	26	and	and	CCONJ
ejpam-7120	324	27	neutron	neutron	NOUN
ejpam-7120	324	28	transport	transport	NOUN
ejpam-7120	324	29	.	.	PUNCT
ejpam-7120	325	1	european	european	ADJ
ejpam-7120	325	2	journal	journal	PROPN
ejpam-7120	325	3	of	of	ADP
ejpam-7120	325	4	pure	pure	ADJ
ejpam-7120	325	5	and	and	CCONJ
ejpam-7120	325	6	applied	applied	ADJ
ejpam-7120	325	7	mathematics	mathematic	NOUN
ejpam-7120	325	8	,	,	PUNCT
ejpam-7120	325	9	18(3):id	18(3):id	NUM
ejpam-7120	325	10	:	:	SYM
ejpam-7120	325	11	6440	6440	NUM
ejpam-7120	325	12	,	,	PUNCT
ejpam-7120	325	13	2025	2025	NUM
ejpam-7120	325	14	.	.	PUNCT
ejpam-7120	326	1	[	[	X
ejpam-7120	326	2	21	21	NUM
ejpam-7120	326	3	]	]	X
ejpam-7120	326	4	a.	a.	NOUN
ejpam-7120	326	5	malkawi	malkawi	NOUN
ejpam-7120	326	6	and	and	CCONJ
ejpam-7120	326	7	a.	a.	PROPN
ejpam-7120	326	8	rabaiah	rabaiah	PROPN
ejpam-7120	326	9	.	.	PUNCT
ejpam-7120	327	1	mr	mr	PROPN
ejpam-7120	327	2	-	-	PUNCT
ejpam-7120	327	3	metric	metric	ADJ
ejpam-7120	327	4	spaces	space	NOUN
ejpam-7120	327	5	:	:	PUNCT
ejpam-7120	327	6	theory	theory	NOUN
ejpam-7120	327	7	and	and	CCONJ
ejpam-7120	327	8	applications	application	NOUN
ejpam-7120	327	9	in	in	ADP
ejpam-7120	327	10	weighted	weighted	ADJ
ejpam-7120	327	11	graphs	graph	NOUN
ejpam-7120	327	12	,	,	PUNCT
ejpam-7120	327	13	expander	expander	NOUN
ejpam-7120	327	14	graphs	graph	NOUN
ejpam-7120	327	15	,	,	PUNCT
ejpam-7120	327	16	and	and	CCONJ
ejpam-7120	327	17	fixed	fix	VERB
ejpam-7120	327	18	-	-	PUNCT
ejpam-7120	327	19	point	point	NOUN
ejpam-7120	327	20	theorems	theorem	NOUN
ejpam-7120	327	21	.	.	PUNCT
ejpam-7120	328	1	european	european	PROPN
ejpam-7120	328	2	journal	journal	PROPN
ejpam-7120	328	3	of	of	ADP
ejpam-7120	328	4	pure	pure	ADJ
ejpam-7120	328	5	and	and	CCONJ
ejpam-7120	328	6	applied	applied	ADJ
ejpam-7120	328	7	mathematics	mathematic	NOUN
ejpam-7120	328	8	,	,	PUNCT
ejpam-7120	328	9	18(3):id	18(3):id	NUM
ejpam-7120	328	10	:	:	PUNCT
ejpam-7120	328	11	6525	6525	NUM
ejpam-7120	328	12	,	,	PUNCT
ejpam-7120	328	13	2025	2025	NUM
ejpam-7120	328	14	.	.	PUNCT
ejpam-7120	329	1	a.	a.	NOUN
ejpam-7120	329	2	malkawi	malkawi	PROPN
ejpam-7120	329	3	,	,	PUNCT
ejpam-7120	329	4	a.	a.	PROPN
ejpam-7120	329	5	rabaiah	rabaiah	PROPN
ejpam-7120	329	6	/	/	SYM
ejpam-7120	329	7	eur	eur	PROPN
ejpam-7120	329	8	.	.	PUNCT
ejpam-7120	330	1	j.	j.	PROPN
ejpam-7120	330	2	pure	pure	PROPN
ejpam-7120	330	3	appl	appl	PROPN
ejpam-7120	330	4	.	.	PROPN
ejpam-7120	330	5	math	math	PROPN
ejpam-7120	330	6	,	,	PUNCT
ejpam-7120	330	7	18	18	NUM
ejpam-7120	330	8	(	(	PUNCT
ejpam-7120	330	9	4	4	NUM
ejpam-7120	330	10	)	)	PUNCT
ejpam-7120	330	11	(	(	PUNCT
ejpam-7120	330	12	2025	2025	NUM
ejpam-7120	330	13	)	)	PUNCT
ejpam-7120	330	14	,	,	PUNCT
ejpam-7120	330	15	7120	7120	NUM
ejpam-7120	330	16	15	15	NUM
ejpam-7120	330	17	of	of	ADP
ejpam-7120	330	18	16	16	NUM
ejpam-7120	331	1	[	[	X
ejpam-7120	331	2	22	22	NUM
ejpam-7120	331	3	]	]	PUNCT
ejpam-7120	331	4	a.	a.	NOUN
ejpam-7120	331	5	malkawi	malkawi	PROPN
ejpam-7120	331	6	.	.	PUNCT
ejpam-7120	332	1	applications	application	NOUN
ejpam-7120	332	2	of	of	ADP
ejpam-7120	332	3	mr	mr	PROPN
ejpam-7120	332	4	-	-	PUNCT
ejpam-7120	332	5	metric	metric	ADJ
ejpam-7120	332	6	spaces	space	NOUN
ejpam-7120	332	7	in	in	ADP
ejpam-7120	332	8	measure	measure	NOUN
ejpam-7120	332	9	theory	theory	NOUN
ejpam-7120	332	10	and	and	CCONJ
ejpam-7120	332	11	convergence	convergence	NOUN
ejpam-7120	332	12	analysis	analysis	NOUN
ejpam-7120	332	13	.	.	PUNCT
ejpam-7120	333	1	european	european	ADJ
ejpam-7120	333	2	journal	journal	PROPN
ejpam-7120	333	3	of	of	ADP
ejpam-7120	333	4	pure	pure	ADJ
ejpam-7120	333	5	and	and	CCONJ
ejpam-7120	333	6	applied	applied	ADJ
ejpam-7120	333	7	mathematics	mathematic	NOUN
ejpam-7120	333	8	,	,	PUNCT
ejpam-7120	333	9	18(3):id	18(3):id	NUM
ejpam-7120	333	10	:	:	SYM
ejpam-7120	333	11	6528	6528	NUM
ejpam-7120	333	12	,	,	PUNCT
ejpam-7120	333	13	2025	2025	NUM
ejpam-7120	333	14	.	.	PUNCT
ejpam-7120	334	1	[	[	X
ejpam-7120	334	2	23	23	NUM
ejpam-7120	334	3	]	]	X
ejpam-7120	334	4	a.	a.	NOUN
ejpam-7120	334	5	malkawi	malkawi	PROPN
ejpam-7120	334	6	and	and	CCONJ
ejpam-7120	334	7	a.	a.	PROPN
ejpam-7120	334	8	rabaiah	rabaiah	PROPN
ejpam-7120	334	9	.	.	PUNCT
ejpam-7120	335	1	compactness	compactness	NOUN
ejpam-7120	335	2	and	and	CCONJ
ejpam-7120	335	3	separability	separability	NOUN
ejpam-7120	335	4	in	in	ADP
ejpam-7120	335	5	mr	mr	PROPN
ejpam-7120	335	6	-	-	PUNCT
ejpam-7120	335	7	metric	metric	ADJ
ejpam-7120	335	8	spaces	space	NOUN
ejpam-7120	335	9	with	with	ADP
ejpam-7120	335	10	applications	application	NOUN
ejpam-7120	335	11	to	to	ADP
ejpam-7120	335	12	deep	deep	ADJ
ejpam-7120	335	13	learning	learning	NOUN
ejpam-7120	335	14	.	.	PUNCT
ejpam-7120	336	1	european	european	ADJ
ejpam-7120	336	2	journal	journal	PROPN
ejpam-7120	336	3	of	of	ADP
ejpam-7120	336	4	pure	pure	ADJ
ejpam-7120	336	5	and	and	CCONJ
ejpam-7120	336	6	applied	applied	ADJ
ejpam-7120	336	7	mathematics	mathematic	NOUN
ejpam-7120	336	8	,	,	PUNCT
ejpam-7120	336	9	18(3):id	18(3):id	NUM
ejpam-7120	336	10	:	:	SYM
ejpam-7120	336	11	6592	6592	NUM
ejpam-7120	336	12	,	,	PUNCT
ejpam-7120	336	13	2025	2025	NUM
ejpam-7120	336	14	.	.	PUNCT
ejpam-7120	337	1	[	[	X
ejpam-7120	337	2	24	24	NUM
ejpam-7120	337	3	]	]	PUNCT
ejpam-7120	337	4	ayman	ayman	PROPN
ejpam-7120	337	5	a.	a.	PROPN
ejpam-7120	337	6	hazaymeh	hazaymeh	NOUN
ejpam-7120	337	7	and	and	CCONJ
ejpam-7120	337	8	anwar	anwar	PROPN
ejpam-7120	337	9	bataihah	bataihah	PROPN
ejpam-7120	337	10	.	.	PUNCT
ejpam-7120	338	1	neutrosophic	neutrosophic	ADJ
ejpam-7120	338	2	fuzzy	fuzzy	ADJ
ejpam-7120	338	3	metric	metric	ADJ
ejpam-7120	338	4	spaces	space	NOUN
ejpam-7120	338	5	and	and	CCONJ
ejpam-7120	338	6	fixed	fix	VERB
ejpam-7120	338	7	points	point	NOUN
ejpam-7120	338	8	for	for	ADP
ejpam-7120	338	9	contractions	contraction	NOUN
ejpam-7120	338	10	of	of	ADP
ejpam-7120	338	11	nonlinear	nonlinear	ADJ
ejpam-7120	338	12	type	type	NOUN
ejpam-7120	338	13	.	.	PUNCT
ejpam-7120	339	1	neutrosophic	neutrosophic	ADJ
ejpam-7120	339	2	sets	set	NOUN
ejpam-7120	339	3	and	and	CCONJ
ejpam-7120	339	4	systems	system	NOUN
ejpam-7120	339	5	,	,	PUNCT
ejpam-7120	339	6	77(1):96–112	77(1):96–112	NUM
ejpam-7120	339	7	,	,	PUNCT
ejpam-7120	339	8	2025	2025	NUM
ejpam-7120	339	9	.	.	PUNCT
ejpam-7120	340	1	[	[	X
ejpam-7120	340	2	25	25	NUM
ejpam-7120	340	3	]	]	PUNCT
ejpam-7120	340	4	a.	a.	NOUN
ejpam-7120	340	5	bataihah	bataihah	PROPN
ejpam-7120	340	6	and	and	CCONJ
ejpam-7120	340	7	a.	a.	NOUN
ejpam-7120	340	8	hazaymeh	hazaymeh	NOUN
ejpam-7120	340	9	.	.	PUNCT
ejpam-7120	341	1	quasi	quasi	NOUN
ejpam-7120	341	2	contractions	contraction	NOUN
ejpam-7120	341	3	and	and	CCONJ
ejpam-7120	341	4	fixed	fix	VERB
ejpam-7120	341	5	point	point	NOUN
ejpam-7120	341	6	theorems	theorem	NOUN
ejpam-7120	341	7	in	in	ADP
ejpam-7120	341	8	the	the	DET
ejpam-7120	341	9	context	context	NOUN
ejpam-7120	341	10	of	of	ADP
ejpam-7120	341	11	neutrosophic	neutrosophic	ADJ
ejpam-7120	341	12	fuzzy	fuzzy	ADJ
ejpam-7120	341	13	metric	metric	ADJ
ejpam-7120	341	14	spaces	space	NOUN
ejpam-7120	341	15	.	.	PUNCT
ejpam-7120	342	1	european	european	ADJ
ejpam-7120	342	2	journal	journal	PROPN
ejpam-7120	342	3	of	of	ADP
ejpam-7120	342	4	pure	pure	ADJ
ejpam-7120	342	5	and	and	CCONJ
ejpam-7120	342	6	applied	applied	ADJ
ejpam-7120	342	7	mathematics	mathematic	NOUN
ejpam-7120	342	8	,	,	PUNCT
ejpam-7120	342	9	18(1):5785–5785	18(1):5785–5785	NUM
ejpam-7120	342	10	,	,	PUNCT
ejpam-7120	342	11	2025	2025	NUM
ejpam-7120	342	12	.	.	PUNCT
ejpam-7120	343	1	[	[	X
ejpam-7120	343	2	26	26	NUM
ejpam-7120	343	3	]	]	X
ejpam-7120	343	4	a.	a.	NOUN
ejpam-7120	343	5	malkawi	malkawi	PROPN
ejpam-7120	343	6	.	.	PUNCT
ejpam-7120	344	1	enhanced	enhance	VERB
ejpam-7120	344	2	uncertainty	uncertainty	NOUN
ejpam-7120	344	3	modeling	model	VERB
ejpam-7120	344	4	through	through	ADP
ejpam-7120	344	5	neutrosophic	neutrosophic	ADJ
ejpam-7120	344	6	mr	mr	PROPN
ejpam-7120	344	7	-	-	PUNCT
ejpam-7120	344	8	metrics	metric	NOUN
ejpam-7120	344	9	:	:	PUNCT
ejpam-7120	344	10	a	a	DET
ejpam-7120	344	11	unified	unified	ADJ
ejpam-7120	344	12	framework	framework	NOUN
ejpam-7120	344	13	with	with	ADP
ejpam-7120	344	14	fuzzy	fuzzy	ADJ
ejpam-7120	344	15	embedding	embedding	NOUN
ejpam-7120	344	16	and	and	CCONJ
ejpam-7120	344	17	contraction	contraction	NOUN
ejpam-7120	344	18	principles	principle	NOUN
ejpam-7120	344	19	.	.	PUNCT
ejpam-7120	345	1	european	european	ADJ
ejpam-7120	345	2	journal	journal	PROPN
ejpam-7120	345	3	of	of	ADP
ejpam-7120	345	4	pure	pure	ADJ
ejpam-7120	345	5	and	and	CCONJ
ejpam-7120	345	6	applied	applied	ADJ
ejpam-7120	345	7	mathematics	mathematic	NOUN
ejpam-7120	345	8	,	,	PUNCT
ejpam-7120	345	9	18(3):id	18(3):id	NUM
ejpam-7120	345	10	:	:	SYM
ejpam-7120	345	11	6475	6475	NUM
ejpam-7120	345	12	,	,	PUNCT
ejpam-7120	345	13	2025	2025	NUM
ejpam-7120	345	14	.	.	PUNCT
ejpam-7120	346	1	[	[	X
ejpam-7120	346	2	27	27	NUM
ejpam-7120	346	3	]	]	PUNCT
ejpam-7120	346	4	abed	abed	PROPN
ejpam-7120	346	5	al	al	PROPN
ejpam-7120	346	6	-	-	PUNCT
ejpam-7120	346	7	rahman	rahman	PROPN
ejpam-7120	346	8	m.	m.	PROPN
ejpam-7120	346	9	malkawi	malkawi	PROPN
ejpam-7120	346	10	.	.	PUNCT
ejpam-7120	346	11	fixed	fix	VERB
ejpam-7120	346	12	point	point	NOUN
ejpam-7120	346	13	theorems	theorem	NOUN
ejpam-7120	346	14	for	for	ADP
ejpam-7120	346	15	fuzzy	fuzzy	ADJ
ejpam-7120	346	16	mappings	mapping	NOUN
ejpam-7120	346	17	in	in	ADP
ejpam-7120	346	18	neutrosophic	neutrosophic	ADJ
ejpam-7120	346	19	mr	mr	PROPN
ejpam-7120	346	20	-	-	PUNCT
ejpam-7120	346	21	metric	metric	ADJ
ejpam-7120	346	22	spaces	space	NOUN
ejpam-7120	346	23	.	.	PUNCT
ejpam-7120	347	1	journal	journal	PROPN
ejpam-7120	347	2	of	of	ADP
ejpam-7120	347	3	nonlinear	nonlinear	ADJ
ejpam-7120	347	4	modeling	modeling	NOUN
ejpam-7120	347	5	and	and	CCONJ
ejpam-7120	347	6	analysis	analysis	NOUN
ejpam-7120	347	7	,	,	PUNCT
ejpam-7120	347	8	2025	2025	NUM
ejpam-7120	347	9	.	.	PUNCT
ejpam-7120	348	1	accepted	accept	VERB
ejpam-7120	348	2	for	for	ADP
ejpam-7120	348	3	publication	publication	NOUN
ejpam-7120	348	4	.	.	PUNCT
ejpam-7120	349	1	[	[	X
ejpam-7120	349	2	28	28	NUM
ejpam-7120	349	3	]	]	X
ejpam-7120	349	4	abed	abed	PROPN
ejpam-7120	349	5	al	al	PROPN
ejpam-7120	349	6	-	-	PUNCT
ejpam-7120	349	7	rahman	rahman	PROPN
ejpam-7120	349	8	m.	m.	NOUN
ejpam-7120	349	9	malkawi	malkawi	PROPN
ejpam-7120	349	10	and	and	CCONJ
ejpam-7120	349	11	ayat	ayat	PROPN
ejpam-7120	349	12	m.	m.	PROPN
ejpam-7120	349	13	rabaiah	rabaiah	PROPN
ejpam-7120	349	14	.	.	PUNCT
ejpam-7120	350	1	mr	mr	PROPN
ejpam-7120	350	2	-	-	PUNCT
ejpam-7120	350	3	metric	metric	ADJ
ejpam-7120	350	4	spaces	space	NOUN
ejpam-7120	350	5	:	:	PUNCT
ejpam-7120	350	6	theory	theory	NOUN
ejpam-7120	350	7	and	and	CCONJ
ejpam-7120	350	8	applications	application	NOUN
ejpam-7120	350	9	in	in	ADP
ejpam-7120	350	10	fractional	fractional	ADJ
ejpam-7120	350	11	calculus	calculus	NOUN
ejpam-7120	350	12	and	and	CCONJ
ejpam-7120	350	13	fixed	fix	VERB
ejpam-7120	350	14	-	-	PUNCT
ejpam-7120	350	15	point	point	NOUN
ejpam-7120	350	16	theorems	theorem	NOUN
ejpam-7120	350	17	.	.	PUNCT
ejpam-7120	350	18	neutrosophic	neutrosophic	ADJ
ejpam-7120	350	19	sets	set	NOUN
ejpam-7120	350	20	and	and	CCONJ
ejpam-7120	350	21	systems	system	NOUN
ejpam-7120	350	22	,	,	PUNCT
ejpam-7120	350	23	90:1103–1121	90:1103–1121	NUM
ejpam-7120	350	24	,	,	PUNCT
ejpam-7120	350	25	2025	2025	NUM
ejpam-7120	350	26	.	.	PUNCT
ejpam-7120	351	1	[	[	X
ejpam-7120	351	2	29	29	NUM
ejpam-7120	351	3	]	]	PUNCT
ejpam-7120	351	4	abed	abed	PROPN
ejpam-7120	351	5	al	al	PROPN
ejpam-7120	351	6	-	-	PUNCT
ejpam-7120	351	7	rahman	rahman	PROPN
ejpam-7120	351	8	m.	m.	NOUN
ejpam-7120	351	9	malkawi	malkawi	PROPN
ejpam-7120	351	10	and	and	CCONJ
ejpam-7120	351	11	ayat	ayat	PROPN
ejpam-7120	351	12	m.	m.	PROPN
ejpam-7120	351	13	rabaiah	rabaiah	PROPN
ejpam-7120	351	14	.	.	PUNCT
ejpam-7120	352	1	mr	mr	PROPN
ejpam-7120	352	2	-	-	PUNCT
ejpam-7120	352	3	metric	metric	ADJ
ejpam-7120	352	4	spaces	space	NOUN
ejpam-7120	352	5	:	:	PUNCT
ejpam-7120	352	6	theory	theory	NOUN
ejpam-7120	352	7	and	and	CCONJ
ejpam-7120	352	8	applications	application	NOUN
ejpam-7120	352	9	in	in	ADP
ejpam-7120	352	10	fractional	fractional	ADJ
ejpam-7120	352	11	calculus	calculus	NOUN
ejpam-7120	352	12	and	and	CCONJ
ejpam-7120	352	13	fixed	fix	VERB
ejpam-7120	352	14	-	-	PUNCT
ejpam-7120	352	15	point	point	NOUN
ejpam-7120	352	16	theorems	theorem	NOUN
ejpam-7120	352	17	.	.	PUNCT
ejpam-7120	352	18	neutrosophic	neutrosophic	ADJ
ejpam-7120	352	19	sets	set	NOUN
ejpam-7120	352	20	and	and	CCONJ
ejpam-7120	352	21	systems	system	NOUN
ejpam-7120	352	22	,	,	PUNCT
ejpam-7120	352	23	91:685–703	91:685–703	PROPN
ejpam-7120	352	24	,	,	PUNCT
ejpam-7120	352	25	2025	2025	NUM
ejpam-7120	352	26	.	.	PUNCT
ejpam-7120	353	1	[	[	X
ejpam-7120	353	2	30	30	NUM
ejpam-7120	353	3	]	]	X
ejpam-7120	353	4	r.	r.	PROPN
ejpam-7120	353	5	al	al	PROPN
ejpam-7120	353	6	-	-	PUNCT
ejpam-7120	353	7	deiakeh	deiakeh	ADJ
ejpam-7120	353	8	,	,	PUNCT
ejpam-7120	353	9	m.	m.	NOUN
ejpam-7120	353	10	alquran	alquran	PROPN
ejpam-7120	353	11	,	,	PUNCT
ejpam-7120	353	12	m.	m.	PROPN
ejpam-7120	353	13	ali	ali	PROPN
ejpam-7120	353	14	,	,	PUNCT
ejpam-7120	353	15	s.	s.	PROPN
ejpam-7120	353	16	qureshi	qureshi	PROPN
ejpam-7120	353	17	,	,	PUNCT
ejpam-7120	353	18	s.	s.	PROPN
ejpam-7120	353	19	momani	momani	PROPN
ejpam-7120	353	20	,	,	PUNCT
ejpam-7120	353	21	and	and	CCONJ
ejpam-7120	353	22	a.	a.	NOUN
ejpam-7120	353	23	a.	a.	PROPN
ejpam-7120	353	24	r.	r.	PROPN
ejpam-7120	353	25	malkawi	malkawi	PROPN
ejpam-7120	353	26	.	.	PROPN
ejpam-7120	354	1	lie	lie	PROPN
ejpam-7120	354	2	symmetry	symmetry	NOUN
ejpam-7120	354	3	,	,	PUNCT
ejpam-7120	354	4	convergence	convergence	NOUN
ejpam-7120	354	5	analysis	analysis	NOUN
ejpam-7120	354	6	,	,	PUNCT
ejpam-7120	354	7	explicit	explicit	ADJ
ejpam-7120	354	8	solutions	solution	NOUN
ejpam-7120	354	9	,	,	PUNCT
ejpam-7120	354	10	and	and	CCONJ
ejpam-7120	354	11	conservation	conservation	NOUN
ejpam-7120	354	12	laws	law	NOUN
ejpam-7120	354	13	for	for	ADP
ejpam-7120	354	14	the	the	DET
ejpam-7120	354	15	time	time	NOUN
ejpam-7120	354	16	-	-	PUNCT
ejpam-7120	354	17	fractional	fractional	ADJ
ejpam-7120	354	18	modified	modify	VERB
ejpam-7120	354	19	benjamin	benjamin	PROPN
ejpam-7120	354	20	-	-	PUNCT
ejpam-7120	354	21	bona	bona	ADJ
ejpam-7120	354	22	-	-	PUNCT
ejpam-7120	354	23	mahony	mahony	NOUN
ejpam-7120	354	24	equation	equation	NOUN
ejpam-7120	354	25	.	.	PUNCT
ejpam-7120	355	1	journal	journal	PROPN
ejpam-7120	355	2	of	of	ADP
ejpam-7120	355	3	applied	apply	VERB
ejpam-7120	355	4	mathematics	mathematic	NOUN
ejpam-7120	355	5	and	and	CCONJ
ejpam-7120	355	6	computational	computational	ADJ
ejpam-7120	355	7	mechanics	mechanic	NOUN
ejpam-7120	355	8	,	,	PUNCT
ejpam-7120	355	9	23(1):19–31	23(1):19–31	NUM
ejpam-7120	355	10	,	,	PUNCT
ejpam-7120	355	11	2024	2024	NUM
ejpam-7120	355	12	.	.	PUNCT
ejpam-7120	356	1	[	[	X
ejpam-7120	356	2	31	31	NUM
ejpam-7120	356	3	]	]	PUNCT
ejpam-7120	356	4	s.	s.	PROPN
ejpam-7120	356	5	al	al	PROPN
ejpam-7120	356	6	-	-	PUNCT
ejpam-7120	356	7	sharif	sharif	PROPN
ejpam-7120	356	8	and	and	CCONJ
ejpam-7120	356	9	a.	a.	NOUN
ejpam-7120	356	10	malkawi	malkawi	PROPN
ejpam-7120	356	11	.	.	PUNCT
ejpam-7120	357	1	modification	modification	NOUN
ejpam-7120	357	2	of	of	ADP
ejpam-7120	357	3	conformable	conformable	ADJ
ejpam-7120	357	4	fractional	fractional	ADJ
ejpam-7120	357	5	derivative	derivative	NOUN
ejpam-7120	357	6	with	with	ADP
ejpam-7120	357	7	classical	classical	ADJ
ejpam-7120	357	8	properties	property	NOUN
ejpam-7120	357	9	.	.	PUNCT
ejpam-7120	358	1	italian	italian	ADJ
ejpam-7120	358	2	journal	journal	NOUN
ejpam-7120	358	3	of	of	ADP
ejpam-7120	358	4	pure	pure	ADJ
ejpam-7120	358	5	and	and	CCONJ
ejpam-7120	358	6	applied	applied	ADJ
ejpam-7120	358	7	mathematics	mathematic	NOUN
ejpam-7120	358	8	,	,	PUNCT
ejpam-7120	358	9	44:30–39	44:30–39	PROPN
ejpam-7120	358	10	,	,	PUNCT
ejpam-7120	358	11	2020	2020	NUM
ejpam-7120	358	12	.	.	PUNCT
ejpam-7120	359	1	[	[	X
ejpam-7120	359	2	32	32	NUM
ejpam-7120	359	3	]	]	PUNCT
ejpam-7120	359	4	g.	g.	PROPN
ejpam-7120	359	5	m.	m.	PROPN
ejpam-7120	359	6	gharib	gharib	PROPN
ejpam-7120	359	7	,	,	PUNCT
ejpam-7120	359	8	m.	m.	PROPN
ejpam-7120	359	9	s.	s.	PROPN
ejpam-7120	359	10	alsauodi	alsauodi	PROPN
ejpam-7120	359	11	,	,	PUNCT
ejpam-7120	359	12	a.	a.	NOUN
ejpam-7120	359	13	guiatni	guiatni	PROPN
ejpam-7120	359	14	,	,	PUNCT
ejpam-7120	359	15	m.	m.	NOUN
ejpam-7120	359	16	a.	a.	PROPN
ejpam-7120	359	17	al	al	PROPN
ejpam-7120	359	18	-	-	PUNCT
ejpam-7120	359	19	omari	omari	PROPN
ejpam-7120	359	20	,	,	PUNCT
ejpam-7120	359	21	and	and	CCONJ
ejpam-7120	359	22	a.	a.	NOUN
ejpam-7120	359	23	a.-r	a.-r	PROPN
ejpam-7120	359	24	.	.	PUNCT
ejpam-7120	360	1	m.	m.	NOUN
ejpam-7120	360	2	malkawi	malkawi	PROPN
ejpam-7120	360	3	.	.	PUNCT
ejpam-7120	361	1	using	use	VERB
ejpam-7120	361	2	atomic	atomic	ADJ
ejpam-7120	361	3	solution	solution	NOUN
ejpam-7120	361	4	method	method	NOUN
ejpam-7120	361	5	to	to	PART
ejpam-7120	361	6	solve	solve	VERB
ejpam-7120	361	7	the	the	DET
ejpam-7120	361	8	fractional	fractional	ADJ
ejpam-7120	361	9	equations	equation	NOUN
ejpam-7120	361	10	.	.	PUNCT
ejpam-7120	362	1	in	in	ADP
ejpam-7120	362	2	springer	springer	NOUN
ejpam-7120	362	3	proceedings	proceeding	NOUN
ejpam-7120	362	4	in	in	ADP
ejpam-7120	362	5	mathematics	mathematic	NOUN
ejpam-7120	362	6	and	and	CCONJ
ejpam-7120	362	7	statistics	statistic	NOUN
ejpam-7120	362	8	,	,	PUNCT
ejpam-7120	362	9	volume	volume	NOUN
ejpam-7120	362	10	418	418	NUM
ejpam-7120	362	11	,	,	PUNCT
ejpam-7120	362	12	pages	page	VERB
ejpam-7120	362	13	123–129	123–129	NUM
ejpam-7120	362	14	.	.	PUNCT
ejpam-7120	362	15	2023	2023	NUM
ejpam-7120	362	16	.	.	PUNCT
ejpam-7120	363	1	[	[	X
ejpam-7120	363	2	33	33	NUM
ejpam-7120	363	3	]	]	PUNCT
ejpam-7120	363	4	a.	a.	NOUN
ejpam-7120	363	5	bataihah	bataihah	PROPN
ejpam-7120	363	6	and	and	CCONJ
ejpam-7120	363	7	t.	t.	NOUN
ejpam-7120	363	8	qawasmeh	qawasmeh	NOUN
ejpam-7120	363	9	.	.	PUNCT
ejpam-7120	364	1	a	a	DET
ejpam-7120	364	2	new	new	ADJ
ejpam-7120	364	3	type	type	NOUN
ejpam-7120	364	4	of	of	ADP
ejpam-7120	364	5	distance	distance	NOUN
ejpam-7120	364	6	spaces	space	NOUN
ejpam-7120	364	7	and	and	CCONJ
ejpam-7120	364	8	fixed	fix	VERB
ejpam-7120	364	9	point	point	NOUN
ejpam-7120	364	10	results	result	NOUN
ejpam-7120	364	11	.	.	PUNCT
ejpam-7120	365	1	journal	journal	NOUN
ejpam-7120	365	2	of	of	ADP
ejpam-7120	365	3	mathematical	mathematical	ADJ
ejpam-7120	365	4	analysis	analysis	NOUN
ejpam-7120	365	5	,	,	PUNCT
ejpam-7120	365	6	15(4):81–90	15(4):81–90	NUM
ejpam-7120	365	7	,	,	PUNCT
ejpam-7120	365	8	2024	2024	NUM
ejpam-7120	365	9	.	.	PUNCT
ejpam-7120	366	1	[	[	X
ejpam-7120	366	2	34	34	NUM
ejpam-7120	366	3	]	]	PUNCT
ejpam-7120	366	4	a.	a.	NOUN
ejpam-7120	366	5	bataihah	bataihah	PROPN
ejpam-7120	366	6	.	.	PUNCT
ejpam-7120	367	1	some	some	DET
ejpam-7120	367	2	fixed	fix	VERB
ejpam-7120	367	3	point	point	NOUN
ejpam-7120	367	4	results	result	NOUN
ejpam-7120	367	5	with	with	ADP
ejpam-7120	367	6	application	application	NOUN
ejpam-7120	367	7	to	to	ADP
ejpam-7120	367	8	fractional	fractional	ADJ
ejpam-7120	367	9	differential	differential	ADJ
ejpam-7120	367	10	equation	equation	NOUN
ejpam-7120	367	11	via	via	ADP
ejpam-7120	367	12	new	new	ADJ
ejpam-7120	367	13	type	type	NOUN
ejpam-7120	367	14	of	of	ADP
ejpam-7120	367	15	distance	distance	NOUN
ejpam-7120	367	16	spaces	space	NOUN
ejpam-7120	367	17	.	.	PUNCT
ejpam-7120	368	1	results	result	NOUN
ejpam-7120	368	2	in	in	ADP
ejpam-7120	368	3	nonlinear	nonlinear	ADJ
ejpam-7120	368	4	analysis	analysis	NOUN
ejpam-7120	368	5	,	,	PUNCT
ejpam-7120	368	6	7:202–208	7:202–208	NUM
ejpam-7120	368	7	,	,	PUNCT
ejpam-7120	368	8	2024	2024	NUM
ejpam-7120	368	9	.	.	PUNCT
ejpam-7120	369	1	[	[	X
ejpam-7120	369	2	35	35	NUM
ejpam-7120	369	3	]	]	X
ejpam-7120	369	4	bataihah	bataihah	PROPN
ejpam-7120	369	5	,	,	PUNCT
ejpam-7120	369	6	t.	t.	NOUN
ejpam-7120	369	7	qawasmeh	qawasmeh	NOUN
ejpam-7120	369	8	,	,	PUNCT
ejpam-7120	369	9	i.	i.	PROPN
ejpam-7120	369	10	batiha	batiha	PROPN
ejpam-7120	369	11	,	,	PUNCT
ejpam-7120	369	12	i.	i.	PROPN
ejpam-7120	369	13	m.	m.	PROPN
ejpam-7120	369	14	batiha	batiha	PROPN
ejpam-7120	369	15	,	,	PUNCT
ejpam-7120	369	16	and	and	CCONJ
ejpam-7120	369	17	t.	t.	PROPN
ejpam-7120	369	18	abdeljawad	abdeljawad	NOUN
ejpam-7120	369	19	.	.	PUNCT
ejpam-7120	370	1	gamma	gamma	NOUN
ejpam-7120	370	2	distance	distance	NOUN
ejpam-7120	370	3	mappings	mapping	NOUN
ejpam-7120	370	4	with	with	ADP
ejpam-7120	370	5	application	application	NOUN
ejpam-7120	370	6	to	to	ADP
ejpam-7120	370	7	fractional	fractional	ADJ
ejpam-7120	370	8	boundary	boundary	ADJ
ejpam-7120	370	9	differential	differential	NOUN
ejpam-7120	370	10	equation	equation	NOUN
ejpam-7120	370	11	.	.	PUNCT
ejpam-7120	371	1	journal	journal	PROPN
ejpam-7120	371	2	of	of	ADP
ejpam-7120	371	3	mathematical	mathematical	ADJ
ejpam-7120	371	4	analysis	analysis	NOUN
ejpam-7120	371	5	,	,	PUNCT
ejpam-7120	371	6	15(5):99–106	15(5):99–106	NUM
ejpam-7120	371	7	,	,	PUNCT
ejpam-7120	371	8	2024	2024	NUM
ejpam-7120	371	9	.	.	PUNCT
ejpam-7120	372	1	[	[	X
ejpam-7120	372	2	36	36	NUM
ejpam-7120	372	3	]	]	PUNCT
ejpam-7120	372	4	a.	a.	PROPN
ejpam-7120	372	5	al	al	PROPN
ejpam-7120	372	6	-	-	PUNCT
ejpam-7120	372	7	zghoul	zghoul	PROPN
ejpam-7120	372	8	,	,	PUNCT
ejpam-7120	372	9	t.	t.	NOUN
ejpam-7120	372	10	qawasmeh	qawasmeh	NOUN
ejpam-7120	372	11	,	,	PUNCT
ejpam-7120	372	12	r.	r.	PROPN
ejpam-7120	372	13	hatamleh	hatamleh	PROPN
ejpam-7120	372	14	,	,	PUNCT
ejpam-7120	372	15	and	and	CCONJ
ejpam-7120	372	16	a.	a.	NOUN
ejpam-7120	372	17	alhazimeh	alhazimeh	NOUN
ejpam-7120	372	18	.	.	PUNCT
ejpam-7120	373	1	a	a	DET
ejpam-7120	373	2	new	new	ADJ
ejpam-7120	373	3	contraction	contraction	NOUN
ejpam-7120	373	4	by	by	ADP
ejpam-7120	373	5	a.	a.	PROPN
ejpam-7120	373	6	malkawi	malkawi	PROPN
ejpam-7120	373	7	,	,	PUNCT
ejpam-7120	373	8	a.	a.	PROPN
ejpam-7120	373	9	rabaiah	rabaiah	PROPN
ejpam-7120	373	10	/	/	SYM
ejpam-7120	373	11	eur	eur	PROPN
ejpam-7120	373	12	.	.	PUNCT
ejpam-7120	374	1	j.	j.	PROPN
ejpam-7120	374	2	pure	pure	PROPN
ejpam-7120	374	3	appl	appl	PROPN
ejpam-7120	374	4	.	.	PROPN
ejpam-7120	374	5	math	math	PROPN
ejpam-7120	374	6	,	,	PUNCT
ejpam-7120	374	7	18	18	NUM
ejpam-7120	374	8	(	(	PUNCT
ejpam-7120	374	9	4	4	NUM
ejpam-7120	374	10	)	)	PUNCT
ejpam-7120	374	11	(	(	PUNCT
ejpam-7120	374	12	2025	2025	NUM
ejpam-7120	374	13	)	)	PUNCT
ejpam-7120	374	14	,	,	PUNCT
ejpam-7120	374	15	7120	7120	NUM
ejpam-7120	374	16	16	16	NUM
ejpam-7120	374	17	of	of	ADP
ejpam-7120	374	18	16	16	NUM
ejpam-7120	374	19	utilizing	utilize	VERB
ejpam-7120	374	20	h	h	NOUN
ejpam-7120	374	21	-	-	PUNCT
ejpam-7120	374	22	simulation	simulation	NOUN
ejpam-7120	374	23	functions	function	NOUN
ejpam-7120	374	24	and	and	CCONJ
ejpam-7120	374	25	ω	ω	VERB
ejpam-7120	374	26	-	-	PUNCT
ejpam-7120	374	27	distance	distance	NOUN
ejpam-7120	374	28	mappings	mapping	NOUN
ejpam-7120	374	29	in	in	ADP
ejpam-7120	374	30	the	the	DET
ejpam-7120	374	31	frame	frame	NOUN
ejpam-7120	374	32	of	of	ADP
ejpam-7120	374	33	complete	complete	ADJ
ejpam-7120	374	34	g	g	NOUN
ejpam-7120	374	35	-	-	PUNCT
ejpam-7120	374	36	metric	metric	ADJ
ejpam-7120	374	37	spaces	space	NOUN
ejpam-7120	374	38	.	.	PUNCT
ejpam-7120	375	1	journal	journal	NOUN
ejpam-7120	375	2	of	of	ADP
ejpam-7120	375	3	applied	apply	VERB
ejpam-7120	375	4	mathematics	mathematics	PROPN
ejpam-7120	375	5	&	&	CCONJ
ejpam-7120	375	6	informatics	informatic	NOUN
ejpam-7120	375	7	,	,	PUNCT
ejpam-7120	375	8	42(4):749–759	42(4):749–759	PROPN
ejpam-7120	375	9	,	,	PUNCT
ejpam-7120	375	10	2024	2024	NUM
ejpam-7120	375	11	.	.	PUNCT
ejpam-7120	376	1	[	[	X
ejpam-7120	376	2	37	37	NUM
ejpam-7120	376	3	]	]	PUNCT
ejpam-7120	376	4	t.	t.	NOUN
ejpam-7120	376	5	qawasmeh	qawasmeh	NOUN
ejpam-7120	376	6	,	,	PUNCT
ejpam-7120	376	7	a.	a.	NOUN
ejpam-7120	376	8	tallafha	tallafha	NOUN
ejpam-7120	376	9	,	,	PUNCT
ejpam-7120	376	10	and	and	CCONJ
ejpam-7120	376	11	w.	w.	PROPN
ejpam-7120	376	12	shatanawi	shatanawi	PROPN
ejpam-7120	376	13	.	.	PUNCT
ejpam-7120	377	1	fixed	fix	VERB
ejpam-7120	377	2	and	and	CCONJ
ejpam-7120	377	3	common	common	ADJ
ejpam-7120	377	4	fixed	fix	VERB
ejpam-7120	377	5	point	point	NOUN
ejpam-7120	377	6	theorems	theorem	NOUN
ejpam-7120	377	7	through	through	ADP
ejpam-7120	377	8	modified	modify	VERB
ejpam-7120	377	9	ω	ω	NUM
ejpam-7120	377	10	-	-	PUNCT
ejpam-7120	377	11	distance	distance	NOUN
ejpam-7120	377	12	mappings	mapping	NOUN
ejpam-7120	377	13	.	.	PUNCT
ejpam-7120	378	1	nonlinear	nonlinear	ADJ
ejpam-7120	378	2	functional	functional	ADJ
ejpam-7120	378	3	analysis	analysis	NOUN
ejpam-7120	378	4	and	and	CCONJ
ejpam-7120	378	5	applications	application	NOUN
ejpam-7120	378	6	,	,	PUNCT
ejpam-7120	378	7	24(2):221–239	24(2):221–239	NUM
ejpam-7120	378	8	,	,	PUNCT
ejpam-7120	378	9	2021	2021	NUM
ejpam-7120	378	10	.	.	PUNCT
ejpam-7120	379	1	[	[	X
ejpam-7120	379	2	38	38	NUM
ejpam-7120	379	3	]	]	PUNCT
ejpam-7120	379	4	k.	k.	PROPN
ejpam-7120	379	5	abodayeh	abodayeh	PROPN
ejpam-7120	379	6	,	,	PUNCT
ejpam-7120	379	7	t.	t.	NOUN
ejpam-7120	379	8	qawasmeh	qawasmeh	NOUN
ejpam-7120	379	9	,	,	PUNCT
ejpam-7120	379	10	w.	w.	PROPN
ejpam-7120	379	11	shatanawi	shatanawi	PROPN
ejpam-7120	379	12	,	,	PUNCT
ejpam-7120	379	13	and	and	CCONJ
ejpam-7120	379	14	a.	a.	NOUN
ejpam-7120	379	15	tallafha	tallafha	NOUN
ejpam-7120	379	16	.	.	PUNCT
ejpam-7120	380	1	εϕ-contraction	εϕ-contraction	NOUN
ejpam-7120	380	2	and	and	CCONJ
ejpam-7120	380	3	some	some	DET
ejpam-7120	380	4	fixed	fix	VERB
ejpam-7120	380	5	point	point	NOUN
ejpam-7120	380	6	results	result	NOUN
ejpam-7120	380	7	via	via	ADP
ejpam-7120	380	8	modified	modify	VERB
ejpam-7120	380	9	ω	ω	VERB
ejpam-7120	380	10	-	-	PUNCT
ejpam-7120	380	11	distance	distance	NOUN
ejpam-7120	380	12	mappings	mapping	NOUN
ejpam-7120	380	13	in	in	ADP
ejpam-7120	380	14	the	the	DET
ejpam-7120	380	15	frame	frame	NOUN
ejpam-7120	380	16	of	of	ADP
ejpam-7120	380	17	complete	complete	ADJ
ejpam-7120	380	18	quasi	quasi	ADJ
ejpam-7120	380	19	metric	metric	ADJ
ejpam-7120	380	20	spaces	space	NOUN
ejpam-7120	380	21	and	and	CCONJ
ejpam-7120	380	22	applications	application	NOUN
ejpam-7120	380	23	.	.	PUNCT
ejpam-7120	381	1	international	international	ADJ
ejpam-7120	381	2	journal	journal	NOUN
ejpam-7120	381	3	of	of	ADP
ejpam-7120	381	4	electrical	electrical	ADJ
ejpam-7120	381	5	and	and	CCONJ
ejpam-7120	381	6	computer	computer	NOUN
ejpam-7120	381	7	engineering	engineering	NOUN
ejpam-7120	381	8	,	,	PUNCT
ejpam-7120	381	9	10(4):3839–3853	10(4):3839–3853	NUM
ejpam-7120	381	10	,	,	PUNCT
ejpam-7120	381	11	2020	2020	NUM
ejpam-7120	381	12	.	.	PUNCT
ejpam-7120	382	1	[	[	X
ejpam-7120	382	2	39	39	NUM
ejpam-7120	382	3	]	]	PUNCT
ejpam-7120	382	4	t.	t.	NOUN
ejpam-7120	382	5	qawasmeh	qawasmeh	NOUN
ejpam-7120	382	6	,	,	PUNCT
ejpam-7120	382	7	a.	a.	NOUN
ejpam-7120	382	8	bataihah	bataihah	PROPN
ejpam-7120	382	9	,	,	PUNCT
ejpam-7120	382	10	a.	a.	NOUN
ejpam-7120	382	11	a.	a.	NOUN
ejpam-7120	382	12	hazaymeh	hazaymeh	PROPN
ejpam-7120	382	13	,	,	PUNCT
ejpam-7120	382	14	r.	r.	PROPN
ejpam-7120	382	15	hatamleh	hatamleh	PROPN
ejpam-7120	382	16	,	,	PUNCT
ejpam-7120	382	17	r.	r.	PROPN
ejpam-7120	382	18	abdelrahim	abdelrahim	PROPN
ejpam-7120	382	19	,	,	PUNCT
ejpam-7120	382	20	and	and	CCONJ
ejpam-7120	382	21	a.	a.	NOUN
ejpam-7120	382	22	a.	a.	PROPN
ejpam-7120	382	23	hassan	hassan	PROPN
ejpam-7120	382	24	.	.	PUNCT
ejpam-7120	383	1	new	new	ADJ
ejpam-7120	383	2	fixed	fix	VERB
ejpam-7120	383	3	point	point	NOUN
ejpam-7120	383	4	results	result	NOUN
ejpam-7120	383	5	for	for	ADP
ejpam-7120	383	6	gamma	gamma	NOUN
ejpam-7120	383	7	interpolative	interpolative	ADJ
ejpam-7120	383	8	contractions	contraction	NOUN
ejpam-7120	383	9	through	through	ADP
ejpam-7120	383	10	gamma	gamma	NOUN
ejpam-7120	383	11	distance	distance	NOUN
ejpam-7120	383	12	mappings	mapping	NOUN
ejpam-7120	383	13	.	.	PUNCT
ejpam-7120	384	1	wseas	wseas	NOUN
ejpam-7120	384	2	transactions	transaction	NOUN
ejpam-7120	384	3	on	on	ADP
ejpam-7120	384	4	mathematics	mathematic	NOUN
ejpam-7120	384	5	,	,	PUNCT
ejpam-7120	384	6	24:424–430	24:424–430	PROPN
ejpam-7120	384	7	,	,	PUNCT
ejpam-7120	384	8	2025	2025	NUM
ejpam-7120	384	9	.	.	PUNCT
ejpam-7120	385	1	[	[	X
ejpam-7120	385	2	40	40	NUM
ejpam-7120	385	3	]	]	PUNCT
ejpam-7120	385	4	a.	a.	NOUN
ejpam-7120	385	5	rabaiah	rabaiah	PROPN
ejpam-7120	385	6	,	,	PUNCT
ejpam-7120	385	7	a.	a.	NOUN
ejpam-7120	385	8	tallafha	tallafha	NOUN
ejpam-7120	385	9	,	,	PUNCT
ejpam-7120	385	10	and	and	CCONJ
ejpam-7120	385	11	w.	w.	PROPN
ejpam-7120	385	12	shatanawi	shatanawi	PROPN
ejpam-7120	385	13	.	.	PUNCT
ejpam-7120	386	1	common	common	ADJ
ejpam-7120	386	2	fixed	fix	VERB
ejpam-7120	386	3	point	point	NOUN
ejpam-7120	386	4	results	result	NOUN
ejpam-7120	386	5	for	for	ADP
ejpam-7120	386	6	mappings	mapping	NOUN
ejpam-7120	386	7	under	under	ADP
ejpam-7120	386	8	nonlinear	nonlinear	ADJ
ejpam-7120	386	9	contraction	contraction	NOUN
ejpam-7120	386	10	of	of	ADP
ejpam-7120	386	11	cyclic	cyclic	ADJ
ejpam-7120	386	12	form	form	NOUN
ejpam-7120	386	13	in	in	ADP
ejpam-7120	386	14	b	b	NOUN
ejpam-7120	386	15	-	-	ADJ
ejpam-7120	386	16	metric	metric	ADJ
ejpam-7120	386	17	spaces	space	NOUN
ejpam-7120	386	18	.	.	PUNCT
ejpam-7120	387	1	advances	advance	NOUN
ejpam-7120	387	2	in	in	ADP
ejpam-7120	387	3	mathematics	mathematic	NOUN
ejpam-7120	387	4	:	:	PUNCT
ejpam-7120	387	5	scientific	scientific	ADJ
ejpam-7120	387	6	journal	journal	NOUN
ejpam-7120	387	7	,	,	PUNCT
ejpam-7120	387	8	26(2):289–301	26(2):289–301	PROPN
ejpam-7120	387	9	,	,	PUNCT
ejpam-7120	387	10	2021	2021	NUM
ejpam-7120	387	11	.	.	PUNCT