id	sid	tid	token	lemma	pos
cana-831	1	1	communications	communication	NOUN
cana-831	1	2	on	on	ADP
cana-831	1	3	applied	apply	VERB
cana-831	1	4	nonlinear	nonlinear	ADJ
cana-831	1	5	analysis	analysis	NOUN
cana-831	1	6	issn	issn	NOUN
cana-831	1	7	:	:	PUNCT
cana-831	1	8	1074	1074	NUM
cana-831	1	9	-	-	PUNCT
cana-831	1	10	133x	133x	NUM
cana-831	1	11	vol	vol	NOUN
cana-831	1	12	31	31	NUM
cana-831	1	13	no	no	NOUN
cana-831	1	14	.	.	PUNCT
cana-831	2	1	4s	4s	NUM
cana-831	2	2	(	(	PUNCT
cana-831	2	3	2024	2024	NUM
cana-831	2	4	)	)	PUNCT
cana-831	2	5	125	125	NUM
cana-831	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-831	2	7	fuzzy	fuzzy	ADJ
cana-831	2	8	s	s	NOUN
cana-831	2	9	-	-	PUNCT
cana-831	2	10	transform	transform	NOUN
cana-831	2	11	is	be	AUX
cana-831	2	12	used	use	VERB
cana-831	2	13	for	for	ADP
cana-831	2	14	identifying	identify	VERB
cana-831	2	15	image	image	NOUN
cana-831	2	16	borders	border	NOUN
cana-831	2	17	of	of	ADP
cana-831	2	18	the	the	DET
cana-831	2	19	medial	medial	ADJ
cana-831	2	20	model	model	NOUN
cana-831	2	21	mycosic	mycosic	NOUN
cana-831	2	22	fungoides	fungoide	NOUN
cana-831	2	23	suha	suha	PROPN
cana-831	2	24	i.	i.	PROPN
cana-831	2	25	s.	s.	PROPN
cana-831	2	26	al	al	PROPN
cana-831	2	27	-	-	PROPN
cana-831	2	28	ali	ali	PROPN
cana-831	2	29	department	department	PROPN
cana-831	2	30	of	of	ADP
cana-831	2	31	mathematic	mathematic	PROPN
cana-831	2	32	,	,	PUNCT
cana-831	2	33	college	college	NOUN
cana-831	2	34	of	of	ADP
cana-831	2	35	computer	computer	NOUN
cana-831	2	36	science	science	NOUN
cana-831	2	37	and	and	CCONJ
cana-831	2	38	mathematical	mathematical	ADJ
cana-831	2	39	,	,	PUNCT
cana-831	2	40	tikrit	tikrit	NOUN
cana-831	2	41	university	university	NOUN
cana-831	2	42	,	,	PUNCT
cana-831	2	43	tikrit	tikrit	NOUN
cana-831	2	44	,	,	PUNCT
cana-831	2	45	iraq	iraq	PROPN
cana-831	2	46	suhaibrahim3@tu.edu.iq	suhaibrahim3@tu.edu.iq	PROPN
cana-831	2	47	article	article	NOUN
cana-831	2	48	history	history	NOUN
cana-831	2	49	:	:	PUNCT
cana-831	2	50	received	receive	VERB
cana-831	2	51	:	:	PUNCT
cana-831	2	52	08	08	NUM
cana-831	2	53	-	-	PUNCT
cana-831	2	54	04	04	NUM
cana-831	2	55	-	-	PUNCT
cana-831	2	56	2024	2024	NUM
cana-831	2	57	revised	revise	VERB
cana-831	2	58	:	:	PUNCT
cana-831	2	59	01	01	NUM
cana-831	2	60	-	-	PUNCT
cana-831	2	61	06	06	NUM
cana-831	2	62	-	-	PUNCT
cana-831	2	63	2024	2024	NUM
cana-831	2	64	accepted	accept	VERB
cana-831	2	65	:	:	PUNCT
cana-831	2	66	12	12	NUM
cana-831	2	67	-	-	PUNCT
cana-831	2	68	06	06	NUM
cana-831	2	69	-	-	PUNCT
cana-831	2	70	2024	2024	NUM
cana-831	2	71	abstract	abstract	NOUN
cana-831	2	72	in	in	ADP
cana-831	2	73	order	order	NOUN
cana-831	2	74	to	to	PART
cana-831	2	75	identify	identify	VERB
cana-831	2	76	mycosis	mycosis	NOUN
cana-831	2	77	fungoides	fungoide	NOUN
cana-831	2	78	in	in	ADP
cana-831	2	79	medical	medical	ADJ
cana-831	2	80	photos	photo	NOUN
cana-831	2	81	,	,	PUNCT
cana-831	2	82	the	the	DET
cana-831	2	83	researchers	researcher	NOUN
cana-831	2	84	used	use	VERB
cana-831	2	85	an	an	DET
cana-831	2	86	algorithm	algorithm	NOUN
cana-831	2	87	.	.	PUNCT
cana-831	3	1	there	there	PRON
cana-831	3	2	are	be	VERB
cana-831	3	3	several	several	ADJ
cana-831	3	4	procedures	procedure	NOUN
cana-831	3	5	that	that	SCONJ
cana-831	3	6	the	the	DET
cana-831	3	7	detection	detection	NOUN
cana-831	3	8	system	system	NOUN
cana-831	3	9	needs	need	VERB
cana-831	3	10	to	to	PART
cana-831	3	11	take	take	VERB
cana-831	3	12	in	in	ADP
cana-831	3	13	order	order	NOUN
cana-831	3	14	to	to	PART
cana-831	3	15	identify	identify	VERB
cana-831	3	16	cell	cell	NOUN
cana-831	3	17	mycosis	mycosis	NOUN
cana-831	3	18	fungoides	fungoide	NOUN
cana-831	3	19	.	.	PUNCT
cana-831	4	1	mycosis	mycosis	NOUN
cana-831	4	2	fungoides	fungoide	NOUN
cana-831	4	3	image	image	NOUN
cana-831	4	4	features	feature	NOUN
cana-831	4	5	have	have	AUX
cana-831	4	6	been	be	AUX
cana-831	4	7	studied	study	VERB
cana-831	4	8	using	use	VERB
cana-831	4	9	the	the	DET
cana-831	4	10	new	new	ADJ
cana-831	4	11	fuzzy	fuzzy	ADJ
cana-831	4	12	transform	transform	NOUN
cana-831	4	13	because	because	SCONJ
cana-831	4	14	of	of	ADP
cana-831	4	15	the	the	DET
cana-831	4	16	function	function	NOUN
cana-831	4	17	's	's	PART
cana-831	4	18	significance	significance	NOUN
cana-831	4	19	in	in	ADP
cana-831	4	20	accurate	accurate	ADJ
cana-831	4	21	stage	stage	NOUN
cana-831	4	22	analysis	analysis	NOUN
cana-831	4	23	.	.	PUNCT
cana-831	5	1	the	the	DET
cana-831	5	2	statistical	statistical	ADJ
cana-831	5	3	properties	property	NOUN
cana-831	5	4	that	that	PRON
cana-831	5	5	were	be	AUX
cana-831	5	6	taken	take	VERB
cana-831	5	7	into	into	ADP
cana-831	5	8	consideration	consideration	NOUN
cana-831	5	9	were	be	AUX
cana-831	5	10	energy	energy	NOUN
cana-831	5	11	,	,	PUNCT
cana-831	5	12	homogeneity	homogeneity	NOUN
cana-831	5	13	,	,	PUNCT
cana-831	5	14	contrast	contrast	NOUN
cana-831	5	15	,	,	PUNCT
cana-831	5	16	correlation	correlation	NOUN
cana-831	5	17	,	,	PUNCT
cana-831	5	18	median	median	NOUN
cana-831	5	19	,	,	PUNCT
cana-831	5	20	mean	mean	ADJ
cana-831	5	21	,	,	PUNCT
cana-831	5	22	entropy	entropy	NOUN
cana-831	5	23	,	,	PUNCT
cana-831	5	24	and	and	CCONJ
cana-831	5	25	homogeneity	homogeneity	NOUN
cana-831	5	26	.	.	PUNCT
cana-831	6	1	it	it	PRON
cana-831	6	2	has	have	AUX
cana-831	6	3	been	be	AUX
cana-831	6	4	confirmed	confirm	VERB
cana-831	6	5	that	that	SCONJ
cana-831	6	6	these	these	DET
cana-831	6	7	statistical	statistical	ADJ
cana-831	6	8	traits	trait	NOUN
cana-831	6	9	may	may	AUX
cana-831	6	10	be	be	AUX
cana-831	6	11	used	use	VERB
cana-831	6	12	to	to	PART
cana-831	6	13	differentiate	differentiate	VERB
cana-831	6	14	across	across	ADP
cana-831	6	15	various	various	ADJ
cana-831	6	16	mycosis	mycosis	NOUN
cana-831	6	17	fungoides	fungoide	NOUN
cana-831	6	18	time	time	NOUN
cana-831	6	19	periods	period	NOUN
cana-831	6	20	..	..	PUNCT
cana-831	6	21	we	we	PRON
cana-831	6	22	relied	rely	VERB
cana-831	6	23	on	on	ADP
cana-831	6	24	the	the	DET
cana-831	6	25	persistence	persistence	NOUN
cana-831	6	26	function	function	NOUN
cana-831	6	27	since	since	SCONJ
cana-831	6	28	it	it	PRON
cana-831	6	29	provides	provide	VERB
cana-831	6	30	more	more	ADV
cana-831	6	31	precise	precise	ADJ
cana-831	6	32	examination	examination	NOUN
cana-831	6	33	of	of	ADP
cana-831	6	34	affected	affected	ADJ
cana-831	6	35	regions	region	NOUN
cana-831	6	36	.	.	PUNCT
cana-831	7	1	orthogonal	orthogonal	ADJ
cana-831	7	2	conversion	conversion	NOUN
cana-831	7	3	was	be	AUX
cana-831	7	4	found	find	VERB
cana-831	7	5	to	to	PART
cana-831	7	6	be	be	AUX
cana-831	7	7	effective	effective	ADJ
cana-831	7	8	in	in	ADP
cana-831	7	9	assessing	assess	VERB
cana-831	7	10	pixel	pixel	ADJ
cana-831	7	11	area	area	NOUN
cana-831	7	12	without	without	ADP
cana-831	7	13	changing	change	VERB
cana-831	7	14	image	image	NOUN
cana-831	7	15	properties	property	NOUN
cana-831	7	16	,	,	PUNCT
cana-831	7	17	allowing	allow	VERB
cana-831	7	18	for	for	ADP
cana-831	7	19	the	the	DET
cana-831	7	20	diagnosis	diagnosis	NOUN
cana-831	7	21	of	of	ADP
cana-831	7	22	various	various	ADJ
cana-831	7	23	illness	illness	NOUN
cana-831	7	24	stages	stage	NOUN
cana-831	7	25	.	.	PUNCT
cana-831	8	1	keywords	keyword	NOUN
cana-831	8	2	:	:	PUNCT
cana-831	8	3	finite	finite	VERB
cana-831	8	4	symmetric	symmetric	ADJ
cana-831	8	5	orthogonal	orthogonal	ADJ
cana-831	8	6	fuzzy	fuzzy	ADJ
cana-831	8	7	transform	transform	NOUN
cana-831	8	8	,	,	PUNCT
cana-831	8	9	orthogonally	orthogonally	ADV
cana-831	8	10	relation	relation	NOUN
cana-831	8	11	,	,	PUNCT
cana-831	8	12	transform	transform	VERB
cana-831	8	13	linear	linear	NOUN
cana-831	8	14	,	,	PUNCT
cana-831	8	15	images	image	NOUN
cana-831	8	16	process	process	NOUN
cana-831	8	17	,	,	PUNCT
cana-831	8	18	mycosic	mycosic	NOUN
cana-831	8	19	fungoides	fungoide	NOUN
cana-831	8	20	.	.	PUNCT
cana-831	9	1	1	1	X
cana-831	9	2	.	.	X
cana-831	9	3	introduction	introduction	NOUN
cana-831	9	4	mycosis	mycosis	NOUN
cana-831	9	5	fungoides	fungoide	NOUN
cana-831	9	6	is	be	AUX
cana-831	9	7	a	a	DET
cana-831	9	8	medical	medical	ADJ
cana-831	9	9	disorder	disorder	NOUN
cana-831	9	10	that	that	PRON
cana-831	9	11	causes	cause	VERB
cana-831	9	12	a	a	DET
cana-831	9	13	rapid	rapid	ADJ
cana-831	9	14	growth	growth	NOUN
cana-831	9	15	of	of	ADP
cana-831	9	16	aberrant	aberrant	ADJ
cana-831	9	17	cells	cell	NOUN
cana-831	9	18	.	.	PUNCT
cana-831	10	1	because	because	SCONJ
cana-831	10	2	abnormal	abnormal	ADJ
cana-831	10	3	cells	cell	NOUN
cana-831	10	4	can	can	AUX
cana-831	10	5	not	not	PART
cana-831	10	6	do	do	VERB
cana-831	10	7	the	the	DET
cana-831	10	8	same	same	ADJ
cana-831	10	9	tasks	task	NOUN
cana-831	10	10	as	as	ADP
cana-831	10	11	healthy	healthy	ADJ
cana-831	10	12	cells	cell	NOUN
cana-831	10	13	and	and	CCONJ
cana-831	10	14	do	do	AUX
cana-831	10	15	not	not	PART
cana-831	10	16	undergo	undergo	VERB
cana-831	10	17	the	the	DET
cana-831	10	18	same	same	ADJ
cana-831	10	19	maturation	maturation	NOUN
cana-831	10	20	processes	process	NOUN
cana-831	10	21	as	as	ADP
cana-831	10	22	normal	normal	ADJ
cana-831	10	23	cells	cell	NOUN
cana-831	10	24	,	,	PUNCT
cana-831	10	25	mycosis	mycosis	NOUN
cana-831	10	26	fungoides	fungoide	NOUN
cana-831	10	27	can	can	AUX
cana-831	10	28	not	not	PART
cana-831	10	29	operate	operate	VERB
cana-831	10	30	normally	normally	ADV
cana-831	10	31	[	[	X
cana-831	10	32	1	1	NUM
cana-831	10	33	]	]	PUNCT
cana-831	10	34	.	.	PUNCT
cana-831	11	1	according	accord	VERB
cana-831	11	2	to	to	ADP
cana-831	11	3	current	current	ADJ
cana-831	11	4	guidelines	guideline	NOUN
cana-831	11	5	,	,	PUNCT
cana-831	11	6	doctors	doctor	NOUN
cana-831	11	7	should	should	AUX
cana-831	11	8	approach	approach	VERB
cana-831	11	9	patients	patient	NOUN
cana-831	11	10	who	who	PRON
cana-831	11	11	meet	meet	VERB
cana-831	11	12	certain	certain	ADJ
cana-831	11	13	criteria	criterion	NOUN
cana-831	11	14	with	with	ADP
cana-831	11	15	the	the	DET
cana-831	11	16	idea	idea	NOUN
cana-831	11	17	of	of	ADP
cana-831	11	18	mycosis	mycosis	NOUN
cana-831	11	19	fungoides	fungoide	NOUN
cana-831	11	20	screening	screen	VERB
cana-831	11	21	.	.	PUNCT
cana-831	12	1	low	low	ADJ
cana-831	12	2	-	-	PUNCT
cana-831	12	3	dose	dose	NOUN
cana-831	12	4	computed	compute	VERB
cana-831	12	5	tomography	tomography	NOUN
cana-831	12	6	(	(	PUNCT
cana-831	12	7	ct	ct	NOUN
cana-831	12	8	)	)	PUNCT
cana-831	12	9	is	be	AUX
cana-831	12	10	the	the	DET
cana-831	12	11	recommended	recommend	VERB
cana-831	12	12	screening	screen	VERB
cana-831	12	13	modality[2	modality[2	PROPN
cana-831	12	14	]	]	PUNCT
cana-831	12	15	.	.	PUNCT
cana-831	13	1	in	in	ADP
cana-831	13	2	the	the	DET
cana-831	13	3	realm	realm	NOUN
cana-831	13	4	of	of	ADP
cana-831	13	5	mycosic	mycosic	NOUN
cana-831	13	6	fungoides	fungoide	NOUN
cana-831	13	7	diagnostics	diagnostic	NOUN
cana-831	13	8	,	,	PUNCT
cana-831	13	9	computer	computer	NOUN
cana-831	13	10	assisted	assist	VERB
cana-831	13	11	diagnosis	diagnosis	NOUN
cana-831	13	12	(	(	PUNCT
cana-831	13	13	cad	cad	NOUN
cana-831	13	14	)	)	PUNCT
cana-831	13	15	systems	system	NOUN
cana-831	13	16	have	have	AUX
cana-831	13	17	been	be	AUX
cana-831	13	18	created	create	VERB
cana-831	13	19	as	as	ADP
cana-831	13	20	effective	effective	ADJ
cana-831	13	21	strategies	strategy	NOUN
cana-831	13	22	for	for	ADP
cana-831	13	23	the	the	DET
cana-831	13	24	identification	identification	NOUN
cana-831	13	25	and	and	CCONJ
cana-831	13	26	characterisation	characterisation	NOUN
cana-831	13	27	of	of	ADP
cana-831	13	28	diverse	diverse	ADJ
cana-831	13	29	lesions[3	lesions[3	NOUN
cana-831	13	30	]	]	PUNCT
cana-831	13	31	.	.	PUNCT
cana-831	14	1	in	in	ADP
cana-831	14	2	order	order	NOUN
cana-831	14	3	to	to	PART
cana-831	14	4	rapidly	rapidly	ADV
cana-831	14	5	and	and	CCONJ
cana-831	14	6	reliably	reliably	ADV
cana-831	14	7	resolve	resolve	VERB
cana-831	14	8	real	real	ADJ
cana-831	14	9	-	-	PUNCT
cana-831	14	10	world	world	NOUN
cana-831	14	11	detection	detection	NOUN
cana-831	14	12	issues	issue	NOUN
cana-831	14	13	,	,	PUNCT
cana-831	14	14	several	several	ADJ
cana-831	14	15	fields	field	NOUN
cana-831	14	16	of	of	ADP
cana-831	14	17	study	study	NOUN
cana-831	14	18	make	make	VERB
cana-831	14	19	use	use	NOUN
cana-831	14	20	of	of	ADP
cana-831	14	21	arithmetic	arithmetic	ADJ
cana-831	14	22	theories	theory	NOUN
cana-831	14	23	that	that	SCONJ
cana-831	14	24	depict	depict	NOUN
cana-831	14	25	mathematical	mathematical	ADJ
cana-831	14	26	models	model	NOUN
cana-831	14	27	as	as	ADP
cana-831	14	28	a	a	DET
cana-831	14	29	representation	representation	NOUN
cana-831	14	30	mathematics	mathematic	NOUN
cana-831	14	31	and	and	CCONJ
cana-831	14	32	information	information	NOUN
cana-831	14	33	processing	process	VERB
cana-831	14	34	tool[4	tool[4	PROPN
cana-831	14	35	]	]	PUNCT
cana-831	14	36	.	.	PUNCT
cana-831	15	1	structure	structure	NOUN
cana-831	15	2	of	of	ADP
cana-831	15	3	the	the	DET
cana-831	15	4	paper	paper	NOUN
cana-831	15	5	in	in	ADP
cana-831	15	6	part	part	NOUN
cana-831	15	7	2	2	NUM
cana-831	15	8	,	,	PUNCT
cana-831	15	9	we	we	PRON
cana-831	15	10	will	will	AUX
cana-831	15	11	discuss	discuss	VERB
cana-831	15	12	the	the	DET
cana-831	15	13	orthogonal	orthogonal	ADJ
cana-831	15	14	fuzzy	fuzzy	ADJ
cana-831	15	15	transform	transform	NOUN
cana-831	15	16	.	.	PUNCT
cana-831	16	1	the	the	DET
cana-831	16	2	aforementioned	aforementioned	ADJ
cana-831	16	3	strategy	strategy	NOUN
cana-831	16	4	is	be	AUX
cana-831	16	5	described	describe	VERB
cana-831	16	6	in	in	ADP
cana-831	16	7	section	section	NOUN
cana-831	16	8	3.environment	3.environment	NUM
cana-831	16	9	evaluation	evaluation	NOUN
cana-831	16	10	per	per	ADP
cana-831	16	11	section	section	NOUN
cana-831	16	12	4	4	NUM
cana-831	16	13	.	.	PUNCT
cana-831	16	14	part	part	NOUN
cana-831	16	15	5	5	NUM
cana-831	16	16	:	:	PUNCT
cana-831	16	17	the	the	DET
cana-831	16	18	results	result	NOUN
cana-831	16	19	of	of	ADP
cana-831	16	20	the	the	DET
cana-831	16	21	experiments	experiment	NOUN
cana-831	16	22	,	,	PUNCT
cana-831	16	23	section	section	NOUN
cana-831	16	24	6	6	NUM
cana-831	16	25	draws	draw	VERB
cana-831	16	26	its	its	PRON
cana-831	16	27	conclusions	conclusion	NOUN
cana-831	16	28	.	.	PUNCT
cana-831	17	1	2.basic	2.basic	NUM
cana-831	17	2	concepts	concept	NOUN
cana-831	17	3	definition	definition	NOUN
cana-831	17	4	1	1	NUM
cana-831	18	1	[	[	X
cana-831	18	2	6	6	NUM
cana-831	18	3	]	]	X
cana-831	18	4	:	:	PUNCT
cana-831	18	5	a	a	DET
cana-831	18	6	fuzzy	fuzzy	ADJ
cana-831	18	7	number	number	NOUN
cana-831	18	8	𝛽in	𝛽in	NOUN
cana-831	18	9	parametric	parametric	ADJ
cana-831	18	10	form	form	NOUN
cana-831	18	11	is	be	AUX
cana-831	18	12	a	a	DET
cana-831	18	13	pair	pair	NOUN
cana-831	18	14	(	(	PUNCT
cana-831	18	15	𝛽	𝛽	NOUN
cana-831	18	16	,	,	PUNCT
cana-831	18	17	𝛽)of	𝛽)of	PROPN
cana-831	18	18	functions	function	NOUN
cana-831	18	19	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	18	20	)	)	PUNCT
cana-831	18	21	,	,	PUNCT
cana-831	18	22	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	18	23	)	)	PUNCT
cana-831	18	24	,	,	PUNCT
cana-831	18	25	0	0	NUM
cana-831	18	26	≤	≤	NUM
cana-831	18	27	𝜙	𝜙	X
cana-831	18	28	≤	≤	NUM
cana-831	18	29	1	1	NUM
cana-831	18	30	,	,	PUNCT
cana-831	18	31	which	which	PRON
cana-831	18	32	satisfies	satisfy	VERB
cana-831	18	33	the	the	DET
cana-831	18	34	following	follow	VERB
cana-831	18	35	requirements	requirement	NOUN
cana-831	18	36	:	:	PUNCT
cana-831	18	37	communications	communication	NOUN
cana-831	18	38	on	on	ADP
cana-831	18	39	applied	apply	VERB
cana-831	18	40	nonlinear	nonlinear	ADJ
cana-831	18	41	analysis	analysis	NOUN
cana-831	18	42	issn	issn	NOUN
cana-831	18	43	:	:	PUNCT
cana-831	18	44	1074	1074	NUM
cana-831	18	45	-	-	PUNCT
cana-831	18	46	133x	133x	NUM
cana-831	18	47	vol	vol	NOUN
cana-831	18	48	31	31	NUM
cana-831	18	49	no	no	NOUN
cana-831	18	50	.	.	PUNCT
cana-831	19	1	4s	4s	NUM
cana-831	19	2	(	(	PUNCT
cana-831	19	3	2024	2024	NUM
cana-831	19	4	)	)	PUNCT
cana-831	19	5	126	126	NUM
cana-831	19	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-831	19	7	1	1	NUM
cana-831	19	8	.	.	PUNCT
cana-831	20	1	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	20	2	)	)	PUNCT
cana-831	20	3	is	be	AUX
cana-831	20	4	a	a	DET
cana-831	20	5	bounded	bounded	ADJ
cana-831	20	6	non	non	ADJ
cana-831	20	7	-	-	ADJ
cana-831	20	8	decreasing	decrease	VERB
cana-831	20	9	left	left	ADJ
cana-831	20	10	continuous	continuous	ADJ
cana-831	20	11	function	function	NOUN
cana-831	20	12	in	in	ADP
cana-831	20	13	0,1,and	0,1,and	INTJ
cana-831	20	14	right	right	ADJ
cana-831	20	15	continuous	continuous	ADJ
cana-831	20	16	at0	at0	NOUN
cana-831	20	17	.	.	PROPN
cana-831	20	18	2	2	NUM
cana-831	20	19	.	.	X
cana-831	20	20	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	20	21	)	)	PUNCT
cana-831	21	1	is	be	AUX
cana-831	21	2	a	a	DET
cana-831	21	3	bounded	bounded	ADJ
cana-831	21	4	non	non	ADJ
cana-831	21	5	-	-	ADJ
cana-831	21	6	increasing	increasing	ADJ
cana-831	21	7	left	left	ADJ
cana-831	21	8	continuous	continuous	ADJ
cana-831	21	9	function	function	NOUN
cana-831	21	10	in	in	ADP
cana-831	21	11	0,1,and	0,1,and	ADV
cana-831	22	1	right	right	ADV
cana-831	22	2	continuous	continuous	ADJ
cana-831	22	3	at	at	ADP
cana-831	22	4	0	0	NUM
cana-831	22	5	.	.	NOUN
cana-831	23	1	3	3	NUM
cana-831	23	2	.	.	X
cana-831	23	3	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	23	4	)	)	PUNCT
cana-831	23	5	≤	≤	PUNCT
cana-831	23	6	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	23	7	)	)	PUNCT
cana-831	23	8	,	,	PUNCT
cana-831	23	9	0	0	NUM
cana-831	23	10	≤	≤	NUM
cana-831	24	1	𝜙	𝜙	PRON
cana-831	24	2	≤	≤	ADJ
cana-831	24	3	1	1	NUM
cana-831	24	4	.for	.for	ADP
cana-831	24	5	𝛽	𝛽	NOUN
cana-831	24	6	=	=	PUNCT
cana-831	24	7	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	24	8	)	)	PUNCT
cana-831	24	9	,	,	PUNCT
cana-831	24	10	𝛽(𝜙)and	𝛽(𝜙)and	NOUN
cana-831	24	11	𝛼	𝛼	X
cana-831	24	12	=	=	SYM
cana-831	24	13	𝛼(𝜙	𝛼(𝜙	NOUN
cana-831	24	14	)	)	PUNCT
cana-831	24	15	,	,	PUNCT
cana-831	24	16	𝛼(𝜙)and	𝛼(𝜙)and	X
cana-831	24	17	𝜑	𝜑	PROPN
cana-831	24	18	>	>	X
cana-831	24	19	0we	0we	NOUN
cana-831	24	20	define	define	VERB
cana-831	24	21	addition𝛽	addition𝛽	PROPN
cana-831	24	22	⊕	⊕	PROPN
cana-831	24	23	𝛼and	𝛼and	PROPN
cana-831	24	24	subtraction	subtraction	NOUN
cana-831	24	25	𝛽	𝛽	PROPN
cana-831	24	26	𝛼	𝛼	NOUN
cana-831	24	27	and	and	CCONJ
cana-831	24	28	scalar	scalar	ADJ
cana-831	24	29	multiplication	multiplication	NOUN
cana-831	24	30	by	by	ADP
cana-831	24	31	𝜑	𝜑	X
cana-831	24	32	>	>	X
cana-831	24	33	0	0	PUNCT
cana-831	25	1	as	as	SCONJ
cana-831	25	2	follows	follow	VERB
cana-831	25	3	:	:	PUNCT
cana-831	25	4	(	(	PUNCT
cana-831	25	5	a	a	X
cana-831	25	6	)	)	PUNCT
cana-831	25	7	addition	addition	NOUN
cana-831	25	8	:	:	PUNCT
cana-831	25	9	𝛽	𝛽	PROPN
cana-831	25	10	⊕	⊕	PROPN
cana-831	25	11	𝛼	𝛼	NOUN
cana-831	25	12	=	=	PUNCT
cana-831	25	13	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	25	14	)	)	PUNCT
cana-831	25	15	+	+	CCONJ
cana-831	25	16	𝛼(𝜗	𝛼(𝜗	NOUN
cana-831	25	17	)	)	PUNCT
cana-831	25	18	,	,	PUNCT
cana-831	25	19	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	25	20	)	)	PUNCT
cana-831	26	1	+	+	CCONJ
cana-831	26	2	𝛼(𝜙	𝛼(𝜙	NOUN
cana-831	26	3	)	)	PUNCT
cana-831	26	4	(	(	PUNCT
cana-831	26	5	b	b	X
cana-831	26	6	)	)	PUNCT
cana-831	26	7	subtraction	subtraction	NOUN
cana-831	26	8	:	:	PUNCT
cana-831	26	9	𝛽	𝛽	NOUN
cana-831	26	10	𝛼	𝛼	NOUN
cana-831	26	11	=	=	SYM
cana-831	26	12	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	26	13	)	)	PUNCT
cana-831	26	14	−	−	ADP
cana-831	26	15	𝛼(𝜙	𝛼(𝜙	NOUN
cana-831	26	16	)	)	PUNCT
cana-831	26	17	,	,	PUNCT
cana-831	26	18	𝛼(𝜙	𝛼(𝜙	NOUN
cana-831	26	19	)	)	PUNCT
cana-831	26	20	,	,	PUNCT
cana-831	26	21	𝛽(𝜙	𝛽(𝜙	PROPN
cana-831	26	22	)	)	PUNCT
cana-831	26	23	−	−	ADP
cana-831	26	24	𝛼(𝜙	𝛼(𝜙	NOUN
cana-831	26	25	)	)	PUNCT
cana-831	26	26	(	(	PUNCT
cana-831	26	27	c	c	NOUN
cana-831	26	28	)	)	PUNCT
cana-831	26	29	scalar	scalar	ADJ
cana-831	26	30	multiplication	multiplication	NOUN
cana-831	26	31	:	:	PUNCT
cana-831	26	32	𝜑	𝜑	PROPN
cana-831	26	33	⊙	⊙	PROPN
cana-831	26	34	𝛽	𝛽	PROPN
cana-831	26	35	=	=	PRON
cana-831	26	36	{	{	PUNCT
cana-831	26	37	(	(	PUNCT
cana-831	26	38	𝜑𝛽	𝜑𝛽	PROPN
cana-831	26	39	,	,	PUNCT
cana-831	26	40	𝜑𝛽	𝜑𝛽	PROPN
cana-831	26	41	)	)	PUNCT
cana-831	26	42	𝜑	𝜑	PROPN
cana-831	26	43	≥	≥	NOUN
cana-831	26	44	0	0	NUM
cana-831	26	45	(	(	PUNCT
cana-831	26	46	𝜑𝛽	𝜑𝛽	NOUN
cana-831	26	47	,	,	PUNCT
cana-831	26	48	𝜑𝛽	𝜑𝛽	PROPN
cana-831	26	49	)	)	PUNCT
cana-831	26	50	𝜑	𝜑	X
cana-831	26	51	<	<	X
cana-831	26	52	0	0	NUM
cana-831	26	53	}	}	PUNCT
cana-831	26	54	definition	definition	NOUN
cana-831	26	55	3	3	NUM
cana-831	26	56	.	.	PUNCT
cana-831	27	1	[	[	X
cana-831	27	2	4	4	X
cana-831	27	3	]	]	PUNCT
cana-831	27	4	let	let	VERB
cana-831	27	5	𝜑(𝜎	𝜑(𝜎	PRON
cana-831	27	6	):	):	PUNCT
cana-831	27	7	(	(	PUNCT
cana-831	27	8	𝑎	𝑎	X
cana-831	27	9	,	,	PUNCT
cana-831	27	10	𝑏	𝑏	NOUN
cana-831	27	11	)	)	PUNCT
cana-831	27	12	→	→	SYM
cana-831	27	13	𝛦	𝛦	PROPN
cana-831	27	14	;	;	PUNCT
cana-831	27	15	constitute	constitute	VERB
cana-831	27	16	a	a	DET
cana-831	27	17	significantly	significantly	ADV
cana-831	27	18	generalized	generalize	VERB
cana-831	27	19	differential	differential	ADJ
cana-831	27	20	difference	difference	NOUN
cana-831	27	21	at	at	ADP
cana-831	27	22	a	a	DET
cana-831	27	23	continuous	continuous	ADJ
cana-831	27	24	fuzzy	fuzzy	ADV
cana-831	27	25	-	-	PUNCT
cana-831	27	26	valued	value	VERB
cana-831	27	27	function	function	NOUN
cana-831	27	28	𝜎0	𝜎0	NOUN
cana-831	27	29	if	if	SCONJ
cana-831	27	30	an	an	DET
cana-831	27	31	element	element	NOUN
cana-831	27	32	is	be	AUX
cana-831	27	33	present	present	ADJ
cana-831	27	34	,	,	PUNCT
cana-831	28	1	an	an	DET
cana-831	28	2	aspect	aspect	NOUN
cana-831	28	3	𝜑\(𝜎0	𝜑\(𝜎0	NUM
cana-831	28	4	)	)	PUNCT
cana-831	28	5	∈	∈	NOUN
cana-831	28	6	𝛦such	𝛦such	PROPN
cana-831	28	7	that	that	SCONJ
cana-831	28	8	:	:	PUNCT
cana-831	28	9	1for	1for	NUM
cana-831	28	10	all	all	PRON
cana-831	28	11	∀ℎ	∀ℎ	VERB
cana-831	28	12	>	>	X
cana-831	29	1	0sufficiently	0sufficiently	ADV
cana-831	29	2	small∃𝜑(𝜎0	small∃𝜑(𝜎0	ADJ
cana-831	29	3	+	+	NUM
cana-831	29	4	ℎ	ℎ	NOUN
cana-831	29	5	)	)	PUNCT
cana-831	29	6	𝜑(𝜛0	𝜑(𝜛0	NOUN
cana-831	29	7	)	)	PUNCT
cana-831	29	8	,	,	PUNCT
cana-831	29	9	∃𝜑(𝜎0	∃𝜑(𝜎0	NOUN
cana-831	29	10	)	)	PUNCT
cana-831	29	11	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	29	12	−	−	PROPN
cana-831	29	13	ℎ	ℎ	PROPN
cana-831	29	14	)	)	PUNCT
cana-831	29	15	and	and	CCONJ
cana-831	29	16	the	the	DET
cana-831	29	17	limit	limit	NOUN
cana-831	29	18	is	be	AUX
cana-831	29	19	𝜑\(𝜎0	𝜑\(𝜎0	NUM
cana-831	29	20	)	)	PUNCT
cana-831	30	1	=	=	PRON
cana-831	30	2	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-831	30	3	ℎ→0	ℎ→0	NOUN
cana-831	30	4	+	+	CCONJ
cana-831	30	5	𝜅(𝜎0	𝜅(𝜎0	NOUN
cana-831	30	6	+	+	SYM
cana-831	30	7	ℎ)𝜑(𝜎0	ℎ)𝜑(𝜎0	NOUN
cana-831	30	8	)	)	PUNCT
cana-831	30	9	ℎ	ℎ	PROPN
cana-831	30	10	=	=	SYM
cana-831	30	11	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-831	30	12	ℎ→0	ℎ→0	X
cana-831	30	13	+	+	CCONJ
cana-831	30	14	𝜑(𝜎0)𝜑(𝜎0	𝜑(𝜎0)𝜑(𝜎0	PROPN
cana-831	30	15	−	−	NUM
cana-831	30	16	ℎ	ℎ	PROPN
cana-831	30	17	)	)	PUNCT
cana-831	30	18	ℎ	ℎ	NOUN
cana-831	30	19	or	or	CCONJ
cana-831	30	20	2for	2for	PROPN
cana-831	30	21	all	all	PRON
cana-831	30	22	∀ℎ	∀ℎ	VERB
cana-831	30	23	>	>	X
cana-831	30	24	0sufficiently	0sufficiently	ADV
cana-831	30	25	small	small	ADJ
cana-831	30	26	∃𝜑(𝜎0	∃𝜑(𝜎0	NOUN
cana-831	30	27	)	)	PUNCT
cana-831	30	28	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	29	+	+	CCONJ
cana-831	30	30	ℎ	ℎ	NOUN
cana-831	30	31	)	)	PUNCT
cana-831	30	32	,	,	PUNCT
cana-831	30	33	∃𝜑(𝜎0	∃𝜑(𝜎0	NOUN
cana-831	30	34	−	−	PROPN
cana-831	30	35	ℎ	ℎ	PROPN
cana-831	30	36	)	)	PUNCT
cana-831	30	37	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	38	)	)	PUNCT
cana-831	30	39	and	and	CCONJ
cana-831	30	40	the	the	DET
cana-831	30	41	limit	limit	NOUN
cana-831	30	42	is	be	AUX
cana-831	30	43	𝜑\(𝜎0	𝜑\(𝜎0	NUM
cana-831	30	44	)	)	PUNCT
cana-831	30	45	=	=	PRON
cana-831	30	46	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-831	30	47	ℎ→0	ℎ→0	NOUN
cana-831	30	48	+	+	CCONJ
cana-831	30	49	𝜑(𝜎0)𝜅(𝜎0	𝜑(𝜎0)𝜅(𝜎0	NOUN
cana-831	30	50	+	+	CCONJ
cana-831	30	51	ℎ	ℎ	PROPN
cana-831	30	52	)	)	PUNCT
cana-831	30	53	−ℎ	−ℎ	NOUN
cana-831	30	54	=	=	PUNCT
cana-831	30	55	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-831	30	56	ℎ→0	ℎ→0	X
cana-831	30	57	+	+	CCONJ
cana-831	30	58	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	59	−	−	NOUN
cana-831	30	60	ℎ)𝜑(𝜎0	ℎ)𝜑(𝜎0	NOUN
cana-831	30	61	)	)	PUNCT
cana-831	30	62	−ℎ	−ℎ	NOUN
cana-831	30	63	or	or	CCONJ
cana-831	30	64	3for	3for	ADP
cana-831	30	65	allℎ	allℎ	ADJ
cana-831	30	66	>	>	X
cana-831	30	67	0sufficiently	0sufficiently	ADV
cana-831	30	68	small	small	ADJ
cana-831	30	69	∃𝜑(𝜎0	∃𝜑(𝜎0	NOUN
cana-831	30	70	+	+	CCONJ
cana-831	30	71	ℎ	ℎ	PROPN
cana-831	30	72	)	)	PUNCT
cana-831	30	73	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	74	)	)	PUNCT
cana-831	30	75	,	,	PUNCT
cana-831	30	76	∃𝜑(𝜎0	∃𝜑(𝜎0	NOUN
cana-831	30	77	−	−	PROPN
cana-831	30	78	ℎ	ℎ	PROPN
cana-831	30	79	)	)	PUNCT
cana-831	30	80	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	81	)	)	PUNCT
cana-831	30	82	and	and	CCONJ
cana-831	30	83	the	the	DET
cana-831	30	84	limit	limit	NOUN
cana-831	30	85	is	be	AUX
cana-831	30	86	𝜑\(𝜎0	𝜑\(𝜎0	NUM
cana-831	30	87	)	)	PUNCT
cana-831	30	88	=	=	PRON
cana-831	30	89	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-831	30	90	ℎ→0	ℎ→0	X
cana-831	30	91	+	+	CCONJ
cana-831	30	92	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	93	+	+	CCONJ
cana-831	30	94	ℎ	ℎ	NOUN
cana-831	30	95	)	)	PUNCT
cana-831	30	96	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	97	)	)	PUNCT
cana-831	30	98	ℎ	ℎ	PROPN
cana-831	30	99	=	=	NOUN
cana-831	30	100	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-831	30	101	ℎ→0	ℎ→0	X
cana-831	30	102	+	+	CCONJ
cana-831	30	103	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	104	−	−	NOUN
cana-831	30	105	ℎ	ℎ	PROPN
cana-831	30	106	)	)	PUNCT
cana-831	30	107	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	108	)	)	PUNCT
cana-831	30	109	−ℎ	−ℎ	NOUN
cana-831	30	110	or	or	CCONJ
cana-831	30	111	4for	4for	PROPN
cana-831	30	112	allℎ	allℎ	ADJ
cana-831	30	113	>	>	X
cana-831	30	114	0sufficiently	0sufficiently	CCONJ
cana-831	30	115	small	small	ADJ
cana-831	30	116	∃𝜑(𝜎0	∃𝜑(𝜎0	NOUN
cana-831	30	117	)	)	PUNCT
cana-831	30	118	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	119	+	+	CCONJ
cana-831	30	120	ℎ	ℎ	NOUN
cana-831	30	121	)	)	PUNCT
cana-831	30	122	,	,	PUNCT
cana-831	30	123	∃𝜑(𝜎0	∃𝜑(𝜎0	NOUN
cana-831	30	124	−	−	PROPN
cana-831	30	125	ℎ	ℎ	PROPN
cana-831	30	126	)	)	PUNCT
cana-831	30	127	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	128	)	)	PUNCT
cana-831	30	129	and	and	CCONJ
cana-831	30	130	the	the	DET
cana-831	30	131	limit	limit	NOUN
cana-831	30	132	is	be	AUX
cana-831	30	133	𝜑\(𝜎0	𝜑\(𝜎0	NUM
cana-831	30	134	)	)	PUNCT
cana-831	30	135	=	=	PRON
cana-831	30	136	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-831	30	137	ℎ→0	ℎ→0	X
cana-831	30	138	+	+	SYM
cana-831	30	139	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	140	)	)	PUNCT
cana-831	30	141	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	142	+	+	CCONJ
cana-831	30	143	ℎ	ℎ	NOUN
cana-831	30	144	)	)	PUNCT
cana-831	30	145	−ℎ	−ℎ	NOUN
cana-831	30	146	=	=	PUNCT
cana-831	30	147	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-831	30	148	ℎ→0	ℎ→0	X
cana-831	30	149	+	+	CCONJ
cana-831	30	150	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	151	−	−	NOUN
cana-831	30	152	ℎ	ℎ	PROPN
cana-831	30	153	)	)	PUNCT
cana-831	30	154	𝜑(𝜎0	𝜑(𝜎0	NOUN
cana-831	30	155	)	)	PUNCT
cana-831	30	156	ℎ	ℎ	NOUN
cana-831	30	157	theorem	theorem	VERB
cana-831	30	158	2	2	NUM
cana-831	30	159	[	[	X
cana-831	30	160	3	3	NUM
cana-831	30	161	]	]	PUNCT
cana-831	30	162	:	:	PUNCT
cana-831	30	163	let	let	VERB
cana-831	30	164	𝜑	𝜑	PRON
cana-831	30	165	:	:	PUNCT
cana-831	30	166	𝑅	𝑅	PROPN
cana-831	30	167	→	→	SYM
cana-831	30	168	𝛦	𝛦	PROPN
cana-831	30	169	(	(	PUNCT
cana-831	30	170	e	e	NOUN
cana-831	30	171	,	,	PUNCT
cana-831	30	172	or	or	CCONJ
cana-831	30	173	the	the	DET
cana-831	30	174	collection	collection	NOUN
cana-831	30	175	of	of	ADP
cana-831	30	176	all	all	DET
cana-831	30	177	fuzzy	fuzzy	ADJ
cana-831	30	178	numbers	number	NOUN
cana-831	30	179	,	,	PUNCT
cana-831	30	180	is	be	AUX
cana-831	30	181	symbolized	symbolize	VERB
cana-831	30	182	by	by	ADP
cana-831	30	183	[	[	X
cana-831	30	184	𝜑(𝜎	𝜑(𝜎	NUM
cana-831	30	185	;	;	PUNCT
cana-831	30	186	𝜙	𝜙	X
cana-831	30	187	)	)	PUNCT
cana-831	30	188	,	,	PUNCT
cana-831	30	189	𝜑(𝜎	𝜑(𝜎	NUM
cana-831	30	190	;	;	PUNCT
cana-831	30	191	𝜙	𝜙	X
cana-831	30	192	)	)	PUNCT
cana-831	30	193	]	]	PUNCT
cana-831	30	194	.	.	PUNCT
cana-831	31	1	assume	assume	VERB
cana-831	31	2	that	that	SCONJ
cana-831	31	3	for	for	ADP
cana-831	31	4	each	each	PRON
cana-831	31	5	given	give	VERB
cana-831	31	6	𝜙	𝜙	PRON
cana-831	31	7	∈	∈	PROPN
cana-831	31	8	0,1	0,1	NUM
cana-831	31	9	𝜑(𝜎	𝜑(𝜎	NOUN
cana-831	31	10	;	;	PUNCT
cana-831	31	11	𝜙)and	𝜙)and	PROPN
cana-831	31	12	𝜑(𝜎	𝜑(𝜎	NUM
cana-831	31	13	;	;	PUNCT
cana-831	31	14	𝜙)are	𝜙)are	PROPN
cana-831	31	15	unctions	unction	NOUN
cana-831	31	16	that	that	PRON
cana-831	31	17	are	be	AUX
cana-831	31	18	riemann	riemann	PROPN
cana-831	31	19	-	-	PUNCT
cana-831	31	20	integrable	integrable	ADJ
cana-831	31	21	on	on	ADP
cana-831	31	22	[	[	X
cana-831	31	23	a	a	DET
cana-831	31	24	,	,	PUNCT
cana-831	31	25	b	b	NOUN
cana-831	31	26	]	]	X
cana-831	31	27	for	for	ADP
cana-831	31	28	each	each	DET
cana-831	31	29	b	b	PROPN
cana-831	31	30	≥	≥	NUM
cana-831	31	31	𝑎	𝑎	NOUN
cana-831	31	32	,	,	PUNCT
cana-831	31	33	two	two	NUM
cana-831	31	34	beneficial	beneficial	ADJ
cana-831	31	35	functions	function	NOUN
cana-831	31	36	exist	exist	VERB
cana-831	31	37	.	.	PUNCT
cana-831	32	1	𝑀𝜗	𝑀𝜗	NOUN
cana-831	32	2	and𝑀𝜗	and𝑀𝜗	VERB
cana-831	32	3	such	such	ADJ
cana-831	32	4	that∫	that∫	NOUN
cana-831	32	5	|𝜑(𝜎	|𝜑(𝜎	NOUN
cana-831	32	6	;	;	PUNCT
cana-831	32	7	𝜙)|	𝜙)|	ADJ
cana-831	32	8	𝑏	𝑏	PROPN
cana-831	32	9	𝑎	𝑎	PRON
cana-831	32	10	𝑑𝜎	𝑑𝜎	ADP
cana-831	32	11	≤	≤	NUM
cana-831	32	12	𝑀𝜙	𝑀𝜙	PROPN
cana-831	32	13	and	and	CCONJ
cana-831	32	14	∫	∫	PROPN
cana-831	32	15	|𝜑(𝜎	|𝜑(𝜎	NOUN
cana-831	32	16	;	;	PUNCT
cana-831	32	17	𝜙)|	𝜙)|	ADJ
cana-831	32	18	𝑏	𝑏	PROPN
cana-831	32	19	𝑎	𝑎	NOUN
cana-831	32	20	𝑑𝜎	𝑑𝜎	ADP
cana-831	32	21	≤	≤	NUM
cana-831	32	22	𝑀𝜙	𝑀𝜙	PROPN
cana-831	32	23	,	,	PUNCT
cana-831	32	24	then	then	ADV
cana-831	32	25	,	,	PUNCT
cana-831	32	26	𝜑(𝜎)is	𝜑(𝜎)is	VERB
cana-831	32	27	not	not	PART
cana-831	32	28	riemann−integrable	riemann−integrable	ADJ
cana-831	32	29	on	on	ADP
cana-831	32	30	improper	improper	ADJ
cana-831	32	31	fuzzy	fuzzy	ADJ
cana-831	32	32	𝑎	𝑎	PROPN
cana-831	32	33	,	,	PUNCT
cana-831	32	34	∞	∞	NOUN
cana-831	32	35	)	)	PUNCT
cana-831	32	36	.furthermore	.furthermore	VERB
cana-831	32	37	,	,	PUNCT
cana-831	32	38	we	we	PRON
cana-831	32	39	have	have	VERB
cana-831	32	40	:	:	PUNCT
cana-831	32	41	∫	∫	PROPN
cana-831	32	42	𝜑(𝜎	𝜑(𝜎	NUM
cana-831	32	43	)	)	PUNCT
cana-831	33	1	∞	∞	PROPN
cana-831	34	1	𝑎	𝑎	X
cana-831	34	2	𝑑𝜎	𝑑𝜎	NOUN
cana-831	34	3	=	=	PUNCT
cana-831	35	1	[	[	X
cana-831	35	2	∫	∫	X
cana-831	35	3	𝜑(𝜎	𝜑(𝜎	NUM
cana-831	35	4	;	;	PUNCT
cana-831	35	5	𝜙	𝜙	X
cana-831	35	6	)	)	PUNCT
cana-831	35	7	∞	∞	NUM
cana-831	35	8	𝑎	𝑎	X
cana-831	35	9	𝑑𝜎	𝑑𝜎	PROPN
cana-831	35	10	,	,	PUNCT
cana-831	35	11	∫	∫	PROPN
cana-831	35	12	𝜑(𝜎	𝜑(𝜎	NUM
cana-831	35	13	;	;	PUNCT
cana-831	35	14	𝜙	𝜙	X
cana-831	35	15	)	)	PUNCT
cana-831	35	16	∞	∞	NUM
cana-831	36	1	𝑎	𝑎	X
cana-831	36	2	𝑑𝜎	𝑑𝜎	NOUN
cana-831	36	3	]	]	PUNCT
cana-831	36	4	.	.	PUNCT
cana-831	37	1	definition	definition	NOUN
cana-831	37	2	4	4	NUM
cana-831	37	3	:	:	PUNCT
cana-831	37	4	let	let	AUX
cana-831	37	5	𝜑(𝜎	𝜑(𝜎	PRON
cana-831	37	6	)	)	PUNCT
cana-831	37	7	be	be	AUX
cana-831	37	8	a	a	DET
cana-831	37	9	continuous	continuous	ADJ
cana-831	37	10	fuzzy	fuzzy	ADV
cana-831	37	11	-	-	PUNCT
cana-831	37	12	valued	value	VERB
cana-831	37	13	function	function	NOUN
cana-831	37	14	suppose	suppose	VERB
cana-831	37	15	that	that	SCONJ
cana-831	37	16	휀	휀	DET
cana-831	37	17	∫	∫	PROPN
cana-831	37	18	𝑒−(𝑖	𝑒−(𝑖	PROPN
cana-831	37	19	√	√	NUM
cana-831	37	20	𝑎	𝑎	X
cana-831	37	21	)	)	PUNCT
cana-831	37	22	𝜎𝜑(𝜎)𝑑𝜎	𝜎𝜑(𝜎)𝑑𝜎	PROPN
cana-831	37	23	∞	∞	PROPN
cana-831	37	24	0	0	NUM
cana-831	37	25	is	be	AUX
cana-831	37	26	an	an	DET
cana-831	37	27	improper	improper	ADJ
cana-831	37	28	fuzzy	fuzzy	ADJ
cana-831	37	29	riemann	riemann	PROPN
cana-831	37	30	-	-	PUNCT
cana-831	37	31	integrable	integrable	ADJ
cana-831	37	32	on	on	ADP
cana-831	37	33	[	[	X
cana-831	37	34	0	0	NUM
cana-831	37	35	,	,	PUNCT
cana-831	37	36	∞	∞	PROPN
cana-831	37	37	)	)	PUNCT
cana-831	37	38	,	,	PUNCT
cana-831	37	39	then	then	ADV
cana-831	37	40	휀	휀	DET
cana-831	37	41	∫	∫	PROPN
cana-831	37	42	𝑒−(𝑖	𝑒−(𝑖	PROPN
cana-831	37	43	√	√	NUM
cana-831	37	44	𝑎	𝑎	X
cana-831	37	45	)	)	PUNCT
cana-831	37	46	𝜎𝜑(𝜎)𝑑𝜎	𝜎𝜑(𝜎)𝑑𝜎	PROPN
cana-831	37	47	∞	∞	PROPN
cana-831	37	48	0	0	NUM
cana-831	37	49	is	be	AUX
cana-831	37	50	called	call	VERB
cana-831	37	51	�	�	PROPN
cana-831	37	52	̂	̂	VERB
cana-831	37	53	�	�	NOUN
cana-831	37	54	transform	transform	NOUN
cana-831	37	55	and	and	CCONJ
cana-831	37	56	is	be	AUX
cana-831	37	57	denoted	denote	VERB
cana-831	37	58	as	as	ADP
cana-831	37	59	:	:	PUNCT
cana-831	37	60	�	�	PROPN
cana-831	37	61	̂	̂	NOUN
cana-831	37	62	�	�	NOUN
cana-831	37	63	[𝜑(𝜎	[𝜑(𝜎	NOUN
cana-831	37	64	)	)	PUNCT
cana-831	37	65	]	]	PUNCT
cana-831	37	66	=	=	PUNCT
cana-831	37	67	�	�	PROPN
cana-831	37	68	̂	̂	NOUN
cana-831	37	69	�	�	NOUN
cana-831	37	70	(휀	(휀	NOUN
cana-831	37	71	)	)	PUNCT
cana-831	37	72	=	=	PUNCT
cana-831	38	1	휀	휀	PRON
cana-831	38	2	∫	∫	PROPN
cana-831	38	3	𝑒−(𝑖	𝑒−(𝑖	PROPN
cana-831	38	4	√	√	NUM
cana-831	38	5	𝑎	𝑎	X
cana-831	38	6	)	)	PUNCT
cana-831	38	7	𝜎𝜑(𝜎)𝑑𝜎	𝜎𝜑(𝜎)𝑑𝜎	PROPN
cana-831	38	8	∞	∞	PROPN
cana-831	38	9	0	0	NUM
cana-831	38	10	n	n	PRON
cana-831	38	11	≥	≥	NOUN
cana-831	38	12	1	1	NUM
cana-831	38	13	from	from	ADP
cana-831	38	14	theorem	theorem	ADJ
cana-831	38	15	2	2	NUM
cana-831	38	16	:	:	PUNCT
cana-831	38	17	communications	communication	NOUN
cana-831	38	18	on	on	ADP
cana-831	38	19	applied	apply	VERB
cana-831	38	20	nonlinear	nonlinear	ADJ
cana-831	38	21	analysis	analysis	NOUN
cana-831	38	22	issn	issn	NOUN
cana-831	38	23	:	:	PUNCT
cana-831	38	24	1074	1074	NUM
cana-831	38	25	-	-	PUNCT
cana-831	38	26	133x	133x	NUM
cana-831	38	27	vol	vol	NOUN
cana-831	38	28	31	31	NUM
cana-831	38	29	no	no	NOUN
cana-831	38	30	.	.	PUNCT
cana-831	39	1	4s	4s	NUM
cana-831	39	2	(	(	PUNCT
cana-831	39	3	2024	2024	NUM
cana-831	39	4	)	)	PUNCT
cana-831	39	5	127	127	NUM
cana-831	39	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-831	39	7	휀	휀	PRON
cana-831	39	8	∫	∫	PROPN
cana-831	39	9	𝑒−(𝑖	𝑒−(𝑖	PROPN
cana-831	39	10	√	√	NUM
cana-831	39	11	𝑎	𝑎	X
cana-831	39	12	)	)	PUNCT
cana-831	39	13	𝜎𝜑(𝜎)𝑑𝜎	𝜎𝜑(𝜎)𝑑𝜎	PROPN
cana-831	39	14	∞	∞	PROPN
cana-831	39	15	0	0	NUM
cana-831	40	1	=	=	SYM
cana-831	40	2	휀	휀	PRON
cana-831	40	3	∫	∫	PROPN
cana-831	40	4	𝑒−(𝑖	𝑒−(𝑖	PROPN
cana-831	40	5	√	√	NUM
cana-831	40	6	𝑎	𝑎	NOUN
cana-831	40	7	)	)	PUNCT
cana-831	40	8	𝜎𝜑(𝜎	𝜎𝜑(𝜎	NUM
cana-831	40	9	;	;	PUNCT
cana-831	40	10	𝜙)𝑑𝜎	𝜙)𝑑𝜎	PROPN
cana-831	40	11	∞	∞	PROPN
cana-831	40	12	0	0	NUM
cana-831	40	13	,	,	PUNCT
cana-831	40	14	휀	휀	DET
cana-831	40	15	∫	∫	PROPN
cana-831	40	16	𝑒−(𝑖	𝑒−(𝑖	PROPN
cana-831	40	17	√	√	NUM
cana-831	40	18	𝑎	𝑎	NOUN
cana-831	40	19	)	)	PUNCT
cana-831	40	20	𝜎𝜑(𝜎	𝜎𝜑(𝜎	NUM
cana-831	40	21	;	;	PUNCT
cana-831	40	22	𝜙)𝑑𝜎	𝜙)𝑑𝜎	PROPN
cana-831	40	23	∞	∞	PROPN
cana-831	40	24	0	0	NUM
cana-831	40	25	also	also	ADV
cana-831	40	26	by	by	ADP
cana-831	40	27	the	the	DET
cana-831	40	28	definition	definition	NOUN
cana-831	40	29	of	of	ADP
cana-831	40	30	classic	classic	ADJ
cana-831	40	31	s	s	NOUN
cana-831	40	32	-	-	PUNCT
cana-831	40	33	transform	transform	NOUN
cana-831	40	34	:	:	PUNCT
cana-831	40	35	�	�	PROPN
cana-831	40	36	̂	̂	NUM
cana-831	40	37	�	�	PROPN
cana-831	40	38	[	[	X
cana-831	40	39	𝜑(𝜎	𝜑(𝜎	NUM
cana-831	40	40	;	;	PUNCT
cana-831	40	41	𝜙	𝜙	X
cana-831	40	42	)	)	PUNCT
cana-831	40	43	]	]	PUNCT
cana-831	41	1	=	=	PUNCT
cana-831	41	2	휀	휀	PRON
cana-831	41	3	∫	∫	PROPN
cana-831	41	4	𝑒−(𝑖	𝑒−(𝑖	PROPN
cana-831	41	5	√	√	NUM
cana-831	41	6	𝑎	𝑎	NOUN
cana-831	41	7	)	)	PUNCT
cana-831	41	8	𝜎𝜑(𝜎	𝜎𝜑(𝜎	NUM
cana-831	41	9	;	;	PUNCT
cana-831	41	10	𝜙)𝑑𝜎	𝜙)𝑑𝜎	PROPN
cana-831	41	11	∞	∞	PROPN
cana-831	41	12	0	0	NUM
cana-831	41	13	,	,	PUNCT
cana-831	41	14	�	�	PROPN
cana-831	41	15	̂	̂	NOUN
cana-831	41	16	�	�	NOUN
cana-831	41	17	[𝜑(𝜎	[𝜑(𝜎	NOUN
cana-831	41	18	;	;	PUNCT
cana-831	41	19	𝜙	𝜙	X
cana-831	41	20	)	)	PUNCT
cana-831	41	21	]	]	PUNCT
cana-831	42	1	=	=	PUNCT
cana-831	42	2	휀	휀	PRON
cana-831	42	3	∫	∫	PROPN
cana-831	42	4	𝑒−(𝑖	𝑒−(𝑖	PROPN
cana-831	42	5	√	√	NUM
cana-831	42	6	𝑎	𝑎	NOUN
cana-831	42	7	)	)	PUNCT
cana-831	42	8	𝜎𝜑(𝜎	𝜎𝜑(𝜎	NUM
cana-831	42	9	;	;	PUNCT
cana-831	42	10	𝜙)𝑑𝜎	𝜙)𝑑𝜎	PROPN
cana-831	42	11	∞	∞	PROPN
cana-831	42	12	0	0	NUM
cana-831	43	1	so	so	CCONJ
cana-831	43	2	:	:	PUNCT
cana-831	43	3	�	�	PROPN
cana-831	43	4	̂	̂	NOUN
cana-831	43	5	�	�	PROPN
cana-831	43	6	[𝜑(𝜎	[𝜑(𝜎	NOUN
cana-831	43	7	;	;	PUNCT
cana-831	43	8	𝜙	𝜙	X
cana-831	43	9	)	)	PUNCT
cana-831	43	10	]	]	PUNCT
cana-831	44	1	=	=	PUNCT
cana-831	44	2	𝑆	𝑆	PROPN
cana-831	44	3	[	[	X
cana-831	44	4	𝜑(𝜎	𝜑(𝜎	NUM
cana-831	44	5	;	;	PUNCT
cana-831	44	6	𝜙	𝜙	X
cana-831	44	7	)	)	PUNCT
cana-831	44	8	]	]	PUNCT
cana-831	44	9	,	,	PUNCT
cana-831	44	10	𝑆[𝜑(𝜎	𝑆[𝜑(𝜎	NOUN
cana-831	44	11	;	;	PUNCT
cana-831	44	12	𝜙	𝜙	X
cana-831	44	13	)	)	PUNCT
cana-831	44	14	]	]	PUNCT
cana-831	44	15	.	.	PUNCT
cana-831	45	1	theorem3	theorem3	X
cana-831	46	1	:	:	PUNCT
cana-831	46	2	duality	duality	NOUN
cana-831	46	3	between	between	ADP
cana-831	46	4	fuzzy	fuzzy	ADJ
cana-831	46	5	laplace	laplace	NOUN
cana-831	46	6	–	–	PUNCT
cana-831	46	7	�	�	NOUN
cana-831	46	8	̂	̂	VERB
cana-831	46	9	�	�	NOUN
cana-831	46	10	transforms	transform	VERB
cana-831	46	11	if	if	SCONJ
cana-831	46	12	𝐹(p	𝐹(p	PRON
cana-831	46	13	)	)	PUNCT
cana-831	46	14	is	be	AUX
cana-831	46	15	fuzzy	fuzzy	ADJ
cana-831	46	16	laplace	laplace	NOUN
cana-831	46	17	transform	transform	NOUN
cana-831	46	18	of	of	ADP
cana-831	46	19	𝜑(𝜎	𝜑(𝜎	NOUN
cana-831	46	20	)	)	PUNCT
cana-831	46	21	and	and	CCONJ
cana-831	46	22	𝑆(휀	𝑆(휀	PRON
cana-831	46	23	)	)	PUNCT
cana-831	46	24	is	be	AUX
cana-831	46	25	�	�	NOUN
cana-831	46	26	̂	̂	NOUN
cana-831	46	27	�	�	NOUN
cana-831	46	28	-transform	-transform	NOUN
cana-831	46	29	of	of	ADP
cana-831	46	30	𝜑(𝜎	𝜑(𝜎	NOUN
cana-831	46	31	)	)	PUNCT
cana-831	46	32	then	then	ADV
cana-831	46	33	�	�	PROPN
cana-831	46	34	̂	̂	SYM
cana-831	46	35	�	�	NOUN
cana-831	46	36	(휀	(휀	NOUN
cana-831	46	37	)	)	PUNCT
cana-831	46	38	=	=	PUNCT
cana-831	47	1	휀𝐹(𝑖	휀𝐹(𝑖	VERB
cana-831	47	2	√휀	√휀	X
cana-831	47	3	𝑎	𝑎	NOUN
cana-831	47	4	)	)	PUNCT
cana-831	47	5	.	.	PUNCT
cana-831	48	1	theorem	theorem	ADJ
cana-831	48	2	4	4	NUM
cana-831	48	3	:	:	PUNCT
cana-831	48	4	let	let	VERB
cana-831	48	5	𝕴(𝜹	𝕴(𝜹	NUM
cana-831	48	6	)	)	PUNCT
cana-831	48	7	by	by	ADP
cana-831	48	8	fuzzy	fuzzy	ADJ
cana-831	48	9	function	function	NOUN
cana-831	48	10	𝜹	𝜹	X
cana-831	48	11	≥	≥	NOUN
cana-831	48	12	𝟎	𝟎	NUM
cana-831	48	13	,	,	PUNCT
cana-831	48	14	𝜼(𝜺	𝜼(𝜺	PROPN
cana-831	48	15	)	)	PUNCT
cana-831	49	1	=	=	SYM
cana-831	49	2	𝜺	𝜺	NOUN
cana-831	49	3	,	,	PUNCT
cana-831	49	4	𝜺	𝜺	PROPN
cana-831	49	5	≠	≠	NOUN
cana-831	49	6	𝟎	𝟎	NUM
cana-831	49	7	be	be	AUX
cana-831	49	8	positive	positive	ADJ
cana-831	49	9	real	real	ADJ
cana-831	49	10	function	function	NOUN
cana-831	49	11	and	and	CCONJ
cana-831	49	12	𝜷(𝜺	𝜷(𝜺	NOUN
cana-831	49	13	)	)	PUNCT
cana-831	50	1	=	=	SYM
cana-831	50	2	𝑖	𝑖	NOUN
cana-831	50	3	√휀	√휀	X
cana-831	50	4	𝑎	𝑎	X
cana-831	50	5	,	,	PUNCT
cana-831	50	6	𝜺	𝜺	PROPN
cana-831	50	7	≠	≠	NOUN
cana-831	50	8	𝟎	𝟎	NUM
cana-831	50	9	be	be	AUX
cana-831	50	10	positive	positive	ADJ
cana-831	50	11	complex	complex	ADJ
cana-831	50	12	function	function	NOUN
cana-831	50	13	then	then	ADV
cana-831	50	14	the	the	DET
cana-831	50	15	derivatives	derivative	NOUN
cana-831	50	16	of	of	ADP
cana-831	50	17	𝕴(𝜹	𝕴(𝜹	PROPN
cana-831	50	18	)	)	PUNCT
cana-831	50	19	for	for	ADP
cana-831	50	20	nthorder	nthorder	NOUN
cana-831	50	21	will	will	AUX
cana-831	50	22	be	be	AUX
cana-831	50	23	as	as	ADP
cana-831	50	24	following	follow	VERB
cana-831	50	25	:	:	PUNCT
cana-831	50	26	1	1	X
cana-831	50	27	.	.	X
cana-831	50	28	𝑆{𝛿	𝑆{𝛿	PROPN
cana-831	50	29	ℑ(𝛿	ℑ(𝛿	X
cana-831	50	30	)	)	PUNCT
cana-831	50	31	}	}	PUNCT
cana-831	50	32	=	=	PUNCT
cana-831	51	1	−	−	PROPN
cana-831	51	2	𝑖	𝑖	SYM
cana-831	51	3	√	√	NUM
cana-831	52	1	𝑎	𝑎	PRON
cana-831	52	2	(	(	PUNCT
cana-831	52	3	𝑆(ℑ(𝛿	𝑆(ℑ(𝛿	NOUN
cana-831	52	4	)	)	PUNCT
cana-831	52	5	,	,	PUNCT
cana-831	52	6	)	)	PUNCT
cana-831	52	7	)	)	PUNCT
cana-831	53	1	′	′	NUM
cana-831	54	1	2.𝑆{𝛿2ℑ(𝛿	2.𝑆{𝛿2ℑ(𝛿	NOUN
cana-831	54	2	)	)	PUNCT
cana-831	54	3	}	}	PUNCT
cana-831	54	4	=	=	SYM
cana-831	54	5	(	(	PUNCT
cana-831	54	6	−1)2	−1)2	X
cana-831	54	7	𝑖	𝑖	ADP
cana-831	54	8	√	√	PROPN
cana-831	54	9	𝑎	𝑎	PRON
cana-831	54	10	(	(	PUNCT
cana-831	54	11	1	1	NUM
cana-831	54	12	𝑖	𝑖	SYM
cana-831	54	13	√	√	NUM
cana-831	54	14	𝑎	𝑎	PRON
cana-831	54	15	(	(	PUNCT
cana-831	54	16	𝑆(ℑ(𝛿	𝑆(ℑ(𝛿	NOUN
cana-831	54	17	)	)	PUNCT
cana-831	54	18	,	,	PUNCT
cana-831	54	19	)	)	PUNCT
cana-831	54	20	)	)	PUNCT
cana-831	55	1	′	′	X
cana-831	55	2	)	)	PUNCT
cana-831	56	1	′	′	NUM
cana-831	56	2	3	3	NUM
cana-831	56	3	.	.	X
cana-831	56	4	𝑆{𝛿𝑛ℑ(𝛿	𝑆{𝛿𝑛ℑ(𝛿	NOUN
cana-831	56	5	)	)	PUNCT
cana-831	56	6	}	}	PUNCT
cana-831	56	7	=	=	SYM
cana-831	57	1	(	(	PUNCT
cana-831	57	2	−1)𝑛	−1)𝑛	X
cana-831	57	3	휀	휀	NOUN
cana-831	57	4	𝑖	𝑖	X
cana-831	57	5	√휀	√휀	X
cana-831	58	1	𝑎	𝑎	X
cana-831	58	2	(	(	PUNCT
cana-831	58	3	1	1	NUM
cana-831	58	4	𝑖	𝑖	NOUN
cana-831	58	5	√휀	√휀	X
cana-831	58	6	𝑎	𝑎	X
cana-831	58	7	(	(	PUNCT
cana-831	58	8	1	1	NUM
cana-831	58	9	𝑖	𝑖	NOUN
cana-831	58	10	√휀	√휀	X
cana-831	58	11	𝑎	𝑎	X
cana-831	58	12	(	(	PUNCT
cana-831	58	13	.	.	PUNCT
cana-831	58	14	.	.	PUNCT
cana-831	58	15	.	.	PUNCT
cana-831	59	1	(	(	PUNCT
cana-831	59	2	1	1	NUM
cana-831	59	3	𝑖	𝑖	NOUN
cana-831	59	4	√휀	√휀	X
cana-831	59	5	𝑎	𝑎	X
cana-831	59	6	(	(	PUNCT
cana-831	59	7	𝑆(ℑ(𝛿	𝑆(ℑ(𝛿	NOUN
cana-831	59	8	)	)	PUNCT
cana-831	59	9	,	,	PUNCT
cana-831	59	10	휀	휀	X
cana-831	59	11	)	)	PUNCT
cana-831	59	12	휀	휀	NOUN
cana-831	59	13	)	)	PUNCT
cana-831	59	14	′	′	NUM
cana-831	59	15	)	)	PUNCT
cana-831	60	1	′	′	NUM
cana-831	60	2	)	)	PUNCT
cana-831	61	1	′	′	NUM
cana-831	61	2	)	)	PUNCT
cana-831	62	1	′	′	INTJ
cana-831	62	2	.	.	PUNCT
cana-831	62	3	.	.	PUNCT
cana-831	62	4	.	.	PUNCT
cana-831	62	5	)	)	PUNCT
cana-831	63	1	′	′	NUM
cana-831	64	1	proof	proof	NOUN
cana-831	64	2	:	:	PUNCT
cana-831	64	3	1	1	X
cana-831	64	4	.	.	PUNCT
cana-831	64	5	since	since	SCONJ
cana-831	64	6	𝑆{ℑ(𝛿	𝑆{ℑ(𝛿	PROPN
cana-831	64	7	)	)	PUNCT
cana-831	64	8	,	,	PUNCT
cana-831	64	9	휀	휀	NOUN
cana-831	64	10	}	}	PUNCT
cana-831	64	11	=	=	SYM
cana-831	64	12	휀	휀	PRON
cana-831	64	13	∫	∫	PROPN
cana-831	64	14	ℑ(𝛿	ℑ(𝛿	X
cana-831	64	15	;	;	PUNCT
cana-831	64	16	휀)𝑒−(𝑖	휀)𝑒−(𝑖	PROPN
cana-831	64	17	√	√	NUM
cana-831	64	18	𝑎	𝑎	NOUN
cana-831	64	19	)	)	PUNCT
cana-831	64	20	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	64	21	∞	∞	PROPN
cana-831	64	22	0	0	NUM
cana-831	64	23	,	,	PUNCT
cana-831	64	24	휀	휀	DET
cana-831	64	25	∫	∫	PROPN
cana-831	64	26	ℑ(𝛿	ℑ(𝛿	X
cana-831	64	27	;	;	PUNCT
cana-831	64	28	휀)𝑒−(𝑖	휀)𝑒−(𝑖	NOUN
cana-831	64	29	𝑖	𝑖	ADP
cana-831	64	30	√	√	NUM
cana-831	64	31	𝑎	𝑎	NOUN
cana-831	64	32	)	)	PUNCT
cana-831	64	33	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	64	34	∞	∞	PROPN
cana-831	64	35	0	0	NUM
cana-831	64	36	⇒	⇒	PROPN
cana-831	64	37	𝑆{ℑ(𝛿	𝑆{ℑ(𝛿	PROPN
cana-831	64	38	)	)	PUNCT
cana-831	64	39	,	,	PUNCT
cana-831	64	40	}	}	PUNCT
cana-831	64	41	=	=	SYM
cana-831	64	42	∫	∫	PROPN
cana-831	64	43	ℑ(𝛿	ℑ(𝛿	X
cana-831	64	44	;	;	PUNCT
cana-831	64	45	휀)𝑒𝑖	휀)𝑒𝑖	PROPN
cana-831	64	46	√	√	NUM
cana-831	64	47	𝑎	𝑎	PRON
cana-831	64	48	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	64	49	∞	∞	PROPN
cana-831	64	50	0	0	NUM
cana-831	64	51	,	,	PUNCT
cana-831	64	52	휀	휀	DET
cana-831	64	53	∫	∫	PROPN
cana-831	64	54	ℑ(𝛿	ℑ(𝛿	X
cana-831	64	55	;	;	PUNCT
cana-831	64	56	휀)𝑒−(𝑖	휀)𝑒−(𝑖	PROPN
cana-831	64	57	√	√	NUM
cana-831	64	58	𝑎	𝑎	NOUN
cana-831	64	59	)	)	PUNCT
cana-831	64	60	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	64	61	∞	∞	PROPN
cana-831	64	62	0	0	NUM
cana-831	64	63	derivative	derivative	NOUN
cana-831	64	64	above	above	ADP
cana-831	64	65	equation	equation	NOUN
cana-831	64	66	with	with	ADP
cana-831	64	67	respect	respect	NOUN
cana-831	64	68	휀	휀	NOUN
cana-831	64	69	,	,	PUNCT
cana-831	64	70	to	to	PART
cana-831	64	71	get	get	VERB
cana-831	64	72	:	:	PUNCT
cana-831	64	73	(	(	PUNCT
cana-831	64	74	𝑆{ℑ(𝛿	𝑆{ℑ(𝛿	NOUN
cana-831	64	75	)	)	PUNCT
cana-831	64	76	,	,	PUNCT
cana-831	64	77	휀	휀	NOUN
cana-831	64	78	}	}	PUNCT
cana-831	64	79	휀	휀	NOUN
cana-831	64	80	)	)	PUNCT
cana-831	64	81	′	′	NUM
cana-831	65	1	=	=	PUNCT
cana-831	65	2	𝑑	𝑑	NOUN
cana-831	65	3	𝑑휀	𝑑휀	NOUN
cana-831	65	4	[	[	X
cana-831	65	5	∫	∫	PROPN
cana-831	65	6	ℑ(𝛿	ℑ(𝛿	X
cana-831	65	7	;	;	PUNCT
cana-831	65	8	휀)𝑒−(𝑖	휀)𝑒−(𝑖	PROPN
cana-831	65	9	√	√	NUM
cana-831	65	10	𝑎	𝑎	NOUN
cana-831	65	11	)	)	PUNCT
cana-831	65	12	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	65	13	∞	∞	PROPN
cana-831	65	14	0	0	NUM
cana-831	65	15	,	,	PUNCT
cana-831	65	16	∫	∫	PROPN
cana-831	65	17	ℑ(𝛿	ℑ(𝛿	X
cana-831	65	18	;	;	PUNCT
cana-831	65	19	휀)𝑒−(𝑖	휀)𝑒−(𝑖	PROPN
cana-831	65	20	√	√	NUM
cana-831	65	21	𝑎	𝑎	NOUN
cana-831	65	22	)	)	PUNCT
cana-831	65	23	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	65	24	∞	∞	PROPN
cana-831	65	25	0	0	NUM
cana-831	65	26	]	]	PUNCT
cana-831	65	27	(	(	PUNCT
cana-831	65	28	𝑆{ℑ(𝛿	𝑆{ℑ(𝛿	NOUN
cana-831	65	29	)	)	PUNCT
cana-831	65	30	,	,	PUNCT
cana-831	65	31	휀	휀	NOUN
cana-831	65	32	}	}	PUNCT
cana-831	65	33	휀	휀	NOUN
cana-831	65	34	)	)	PUNCT
cana-831	65	35	′	′	NUM
cana-831	66	1	=	=	PUNCT
cana-831	66	2	−	−	PROPN
cana-831	66	3	(	(	PUNCT
cana-831	66	4	√휀	√휀	X
cana-831	66	5	2𝑛	2𝑛	PROPN
cana-831	67	1	+	+	CCONJ
cana-831	67	2	휀	휀	X
cana-831	67	3	)	)	PUNCT
cana-831	67	4	∫	∫	PROPN
cana-831	67	5	ℑ(𝛿	ℑ(𝛿	X
cana-831	67	6	;	;	PUNCT
cana-831	67	7	휀)𝑒−(𝑖	휀)𝑒−(𝑖	PROPN
cana-831	67	8	√	√	NUM
cana-831	67	9	𝑎	𝑎	NOUN
cana-831	67	10	)	)	PUNCT
cana-831	67	11	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	67	12	∞	∞	PROPN
cana-831	67	13	0	0	NUM
cana-831	67	14	,	,	PUNCT
cana-831	67	15	−	−	PROPN
cana-831	67	16	(	(	PUNCT
cana-831	67	17	√휀	√휀	X
cana-831	67	18	2𝑛	2𝑛	PROPN
cana-831	68	1	+	+	CCONJ
cana-831	68	2	휀	휀	X
cana-831	68	3	)	)	PUNCT
cana-831	68	4	∫	∫	PROPN
cana-831	68	5	ℑ(𝛿	ℑ(𝛿	X
cana-831	68	6	;	;	PUNCT
cana-831	68	7	휀)𝑒−(𝑖	휀)𝑒−(𝑖	PROPN
cana-831	68	8	√	√	NUM
cana-831	68	9	𝑎	𝑎	NOUN
cana-831	68	10	)	)	PUNCT
cana-831	68	11	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	68	12	∞	∞	PROPN
cana-831	68	13	0	0	NUM
cana-831	68	14	from	from	ADP
cana-831	68	15	equation	equation	NOUN
cana-831	68	16	(	(	PUNCT
cana-831	68	17	1	1	NUM
cana-831	68	18	)	)	PUNCT
cana-831	68	19	,	,	PUNCT
cana-831	68	20	to	to	PART
cana-831	68	21	get	get	VERB
cana-831	68	22	:	:	PUNCT
cana-831	68	23	(	(	PUNCT
cana-831	68	24	𝑆{ℑ(𝛿	𝑆{ℑ(𝛿	NOUN
cana-831	68	25	)	)	PUNCT
cana-831	68	26	,	,	PUNCT
cana-831	68	27	휀	휀	NOUN
cana-831	68	28	}	}	PUNCT
cana-831	68	29	휀	휀	NOUN
cana-831	68	30	)	)	PUNCT
cana-831	68	31	′	′	NUM
cana-831	69	1	=	=	PUNCT
cana-831	69	2	−(𝑖	−(𝑖	X
cana-831	69	3	√휀	√휀	X
cana-831	70	1	𝑎	𝑎	X
cana-831	70	2	)	)	PUNCT
cana-831	70	3	𝑆{ℑ(𝛿	𝑆{ℑ(𝛿	PROPN
cana-831	70	4	;	;	PUNCT
cana-831	70	5	휀	휀	X
cana-831	70	6	)	)	PUNCT
cana-831	70	7	,	,	PUNCT
cana-831	70	8	휀	휀	NOUN
cana-831	70	9	}	}	PUNCT
cana-831	70	10	휀	휀	NOUN
cana-831	70	11	,	,	PUNCT
cana-831	70	12	−(𝑖	−(𝑖	X
cana-831	70	13	√휀	√휀	X
cana-831	70	14	𝑎	𝑎	X
cana-831	70	15	)	)	PUNCT
cana-831	70	16	𝑆{ℑ(𝛿	𝑆{ℑ(𝛿	PROPN
cana-831	70	17	;	;	PUNCT
cana-831	70	18	휀	휀	X
cana-831	70	19	)	)	PUNCT
cana-831	70	20	,	,	PUNCT
cana-831	70	21	휀	휀	NOUN
cana-831	70	22	}	}	PUNCT
cana-831	70	23	휀	휀	NOUN
cana-831	70	24	(	(	PUNCT
cana-831	70	25	𝑆(ℑ(𝛿	𝑆(ℑ(𝛿	NOUN
cana-831	70	26	)	)	PUNCT
cana-831	70	27	,	,	PUNCT
cana-831	70	28	휀	휀	X
cana-831	70	29	)	)	PUNCT
cana-831	70	30	휀	휀	NOUN
cana-831	70	31	)	)	PUNCT
cana-831	70	32	′	′	NUM
cana-831	71	1	=	=	PUNCT
cana-831	71	2	−(𝑖	−(𝑖	X
cana-831	71	3	√휀	√휀	X
cana-831	71	4	𝑎	𝑎	X
cana-831	71	5	)	)	PUNCT
cana-831	71	6	𝑆{𝛿	𝑆{𝛿	PROPN
cana-831	71	7	ℑ(𝛿	ℑ(𝛿	NUM
cana-831	71	8	)	)	PUNCT
cana-831	71	9	,	,	PUNCT
cana-831	71	10	휀	휀	NOUN
cana-831	71	11	}	}	PUNCT
cana-831	71	12	휀	휀	NOUN
cana-831	71	13	then	then	ADV
cana-831	71	14	,	,	PUNCT
cana-831	71	15	to	to	PART
cana-831	71	16	get	get	VERB
cana-831	71	17	:	:	PUNCT
cana-831	71	18	𝑆{𝛿	𝑆{𝛿	NUM
cana-831	71	19	ℑ(𝛿	ℑ(𝛿	NUM
cana-831	71	20	)	)	PUNCT
cana-831	71	21	}	}	PUNCT
cana-831	71	22	=	=	PUNCT
cana-831	72	1	−	−	PROPN
cana-831	72	2	휀	휀	NOUN
cana-831	72	3	𝑖	𝑖	NOUN
cana-831	72	4	√휀	√휀	X
cana-831	73	1	𝑎	𝑎	X
cana-831	73	2	(	(	PUNCT
cana-831	73	3	𝑆(ℑ(𝛿	𝑆(ℑ(𝛿	NOUN
cana-831	73	4	)	)	PUNCT
cana-831	73	5	,	,	PUNCT
cana-831	73	6	휀	휀	X
cana-831	73	7	)	)	PUNCT
cana-831	73	8	휀	휀	NOUN
cana-831	73	9	)	)	PUNCT
cana-831	73	10	′	′	NUM
cana-831	73	11	communications	communication	NOUN
cana-831	73	12	on	on	ADP
cana-831	73	13	applied	apply	VERB
cana-831	73	14	nonlinear	nonlinear	ADJ
cana-831	73	15	analysis	analysis	NOUN
cana-831	73	16	issn	issn	NOUN
cana-831	73	17	:	:	PUNCT
cana-831	73	18	1074	1074	NUM
cana-831	73	19	-	-	PUNCT
cana-831	73	20	133x	133x	NUM
cana-831	73	21	vol	vol	NOUN
cana-831	73	22	31	31	NUM
cana-831	73	23	no	no	NOUN
cana-831	73	24	.	.	PUNCT
cana-831	74	1	4s	4s	NUM
cana-831	74	2	(	(	PUNCT
cana-831	74	3	2024	2024	NUM
cana-831	74	4	)	)	PUNCT
cana-831	74	5	128	128	NUM
cana-831	75	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-831	75	2	2	2	NUM
cana-831	75	3	.	.	PUNCT
cana-831	76	1	since	since	SCONJ
cana-831	76	2	from	from	ADP
cana-831	76	3	the	the	DET
cana-831	76	4	first	first	ADJ
cana-831	76	5	part	part	NOUN
cana-831	76	6	,	,	PUNCT
cana-831	76	7	we	we	PRON
cana-831	76	8	have	have	VERB
cana-831	76	9	:	:	PUNCT
cana-831	76	10	𝑆{𝛿	𝑆{𝛿	PROPN
cana-831	76	11	ℑ(𝛿	ℑ(𝛿	NUM
cana-831	76	12	)	)	PUNCT
cana-831	76	13	,	,	PUNCT
cana-831	76	14	휀	휀	NOUN
cana-831	76	15	}	}	PUNCT
cana-831	76	16	=	=	SYM
cana-831	76	17	−	−	PROPN
cana-831	77	1	휀	휀	NOUN
cana-831	77	2	𝑖	𝑖	NOUN
cana-831	77	3	√휀	√휀	X
cana-831	77	4	𝑎	𝑎	X
cana-831	77	5	(	(	PUNCT
cana-831	77	6	𝑆(ℑ(𝛿	𝑆(ℑ(𝛿	NOUN
cana-831	77	7	)	)	PUNCT
cana-831	77	8	,	,	PUNCT
cana-831	77	9	휀	휀	X
cana-831	77	10	)	)	PUNCT
cana-831	77	11	휀	휀	NOUN
cana-831	77	12	)	)	PUNCT
cana-831	77	13	′	′	NUM
cana-831	77	14	taking	take	VERB
cana-831	77	15	derivative	derivative	NOUN
cana-831	77	16	for	for	ADP
cana-831	77	17	both	both	DET
cana-831	77	18	sides	side	NOUN
cana-831	77	19	of	of	ADP
cana-831	77	20	the	the	DET
cana-831	77	21	above	above	ADJ
cana-831	77	22	equation	equation	NOUN
cana-831	77	23	−(𝑖	−(𝑖	PROPN
cana-831	77	24	√휀	√휀	X
cana-831	77	25	𝑎	𝑎	X
cana-831	77	26	)	)	PUNCT
cana-831	77	27	1	1	NUM
cana-831	77	28	휀	휀	DET
cana-831	77	29	∫	∫	PROPN
cana-831	77	30	𝛿2ℑ(𝛿	𝛿2ℑ(𝛿	NOUN
cana-831	77	31	;	;	PUNCT
cana-831	77	32	휀)𝑒−(𝑖	휀)𝑒−(𝑖	PROPN
cana-831	77	33	√	√	NUM
cana-831	77	34	𝑎	𝑎	NOUN
cana-831	77	35	)	)	PUNCT
cana-831	77	36	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	77	37	∞	∞	PROPN
cana-831	77	38	0	0	NUM
cana-831	77	39	,	,	PUNCT
cana-831	77	40	−(𝑖	−(𝑖	X
cana-831	77	41	√휀	√휀	X
cana-831	77	42	𝑎	𝑎	X
cana-831	77	43	)	)	PUNCT
cana-831	77	44	∫	∫	NOUN
cana-831	77	45	𝛿2ℑ(𝛿	𝛿2ℑ(𝛿	NOUN
cana-831	77	46	;	;	PUNCT
cana-831	77	47	휀)𝑒−(𝑖	휀)𝑒−(𝑖	PROPN
cana-831	77	48	√	√	NUM
cana-831	77	49	𝑎	𝑎	NOUN
cana-831	77	50	)	)	PUNCT
cana-831	77	51	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	77	52	=	=	SYM
cana-831	77	53	(	(	PUNCT
cana-831	77	54	−	−	PROPN
cana-831	77	55	휀	휀	X
cana-831	77	56	(	(	PUNCT
cana-831	77	57	𝑖	𝑖	NOUN
cana-831	77	58	√휀	√휀	X
cana-831	77	59	𝑎	𝑎	X
cana-831	77	60	)	)	PUNCT
cana-831	77	61	(	(	PUNCT
cana-831	77	62	𝑆{ℑ(𝛿	𝑆{ℑ(𝛿	NOUN
cana-831	77	63	)	)	PUNCT
cana-831	77	64	,	,	PUNCT
cana-831	77	65	휀	휀	NOUN
cana-831	77	66	}	}	PUNCT
cana-831	77	67	휀	휀	NOUN
cana-831	77	68	)	)	PUNCT
cana-831	77	69	′	′	NUM
cana-831	77	70	)	)	PUNCT
cana-831	78	1	∞	∞	NUM
cana-831	78	2	0	0	NUM
cana-831	79	1	′	′	NUM
cana-831	79	2	−	−	PROPN
cana-831	79	3	(	(	PUNCT
cana-831	79	4	√휀	√휀	X
cana-831	79	5	2𝑛	2𝑛	PROPN
cana-831	80	1	+	+	CCONJ
cana-831	80	2	휀	휀	X
cana-831	80	3	)	)	PUNCT
cana-831	80	4	휀	휀	PRON
cana-831	80	5	𝑆{𝛿2ℑ(𝛿	𝑆{𝛿2ℑ(𝛿	ADJ
cana-831	80	6	;	;	PUNCT
cana-831	80	7	𝜗	𝜗	NOUN
cana-831	80	8	)	)	PUNCT
cana-831	80	9	}	}	PUNCT
cana-831	80	10	,	,	PUNCT
cana-831	80	11	(	(	PUNCT
cana-831	80	12	𝑖	𝑖	X
cana-831	80	13	√휀	√휀	X
cana-831	80	14	𝑎	𝑎	X
cana-831	80	15	)	)	PUNCT
cana-831	80	16	휀	휀	PRON
cana-831	80	17	𝑆{𝛿2ℑ(𝛿	𝑆{𝛿2ℑ(𝛿	ADJ
cana-831	80	18	;	;	PUNCT
cana-831	80	19	𝜗	𝜗	NOUN
cana-831	80	20	)	)	PUNCT
cana-831	80	21	}	}	PUNCT
cana-831	80	22	=	=	SYM
cana-831	80	23	(	(	PUNCT
cana-831	80	24	−	−	PROPN
cana-831	80	25	휀	휀	X
cana-831	80	26	(	(	PUNCT
cana-831	80	27	𝑖	𝑖	NOUN
cana-831	80	28	√휀	√휀	X
cana-831	80	29	𝑎	𝑎	X
cana-831	80	30	)	)	PUNCT
cana-831	80	31	(	(	PUNCT
cana-831	80	32	𝑆{ℑ(𝛿	𝑆{ℑ(𝛿	NOUN
cana-831	80	33	)	)	PUNCT
cana-831	80	34	,	,	PUNCT
cana-831	80	35	휀	휀	NOUN
cana-831	80	36	}	}	PUNCT
cana-831	80	37	휀	휀	NOUN
cana-831	80	38	)	)	PUNCT
cana-831	80	39	′	′	NUM
cana-831	80	40	)	)	PUNCT
cana-831	81	1	′	′	NUM
cana-831	81	2	thus	thus	ADV
cana-831	81	3	:	:	PUNCT
cana-831	81	4	𝑆{𝛿2ℑ(𝛿	𝑆{𝛿2ℑ(𝛿	NUM
cana-831	81	5	)	)	PUNCT
cana-831	81	6	}	}	PUNCT
cana-831	81	7	=	=	SYM
cana-831	81	8	(	(	PUNCT
cana-831	81	9	−1)2	−1)2	X
cana-831	81	10	휀	휀	NOUN
cana-831	81	11	𝑖	𝑖	NOUN
cana-831	81	12	√휀	√휀	X
cana-831	82	1	𝑎	𝑎	X
cana-831	82	2	(	(	PUNCT
cana-831	82	3	−	−	PROPN
cana-831	82	4	1	1	NUM
cana-831	82	5	𝑖	𝑖	NOUN
cana-831	82	6	√휀	√휀	X
cana-831	82	7	𝑎	𝑎	X
cana-831	82	8	(	(	PUNCT
cana-831	82	9	𝑆(ℑ(𝛿	𝑆(ℑ(𝛿	NOUN
cana-831	82	10	)	)	PUNCT
cana-831	82	11	,	,	PUNCT
cana-831	82	12	휀	휀	X
cana-831	82	13	)	)	PUNCT
cana-831	82	14	휀	휀	NOUN
cana-831	82	15	)	)	PUNCT
cana-831	82	16	′	′	NUM
cana-831	82	17	)	)	PUNCT
cana-831	83	1	′	′	NUM
cana-831	83	2	3	3	X
cana-831	83	3	.	.	PUNCT
cana-831	84	1	in	in	ADP
cana-831	84	2	similar	similar	ADJ
cana-831	84	3	way	way	NOUN
cana-831	84	4	,	,	PUNCT
cana-831	84	5	we	we	PRON
cana-831	84	6	can	can	AUX
cana-831	84	7	prove	prove	VERB
cana-831	84	8	the	the	DET
cana-831	84	9	third	third	ADJ
cana-831	84	10	part	part	NOUN
cana-831	84	11	𝑆{𝛿2ℑ(𝛿	𝑆{𝛿2ℑ(𝛿	PROPN
cana-831	84	12	)	)	PUNCT
cana-831	84	13	}	}	PUNCT
cana-831	84	14	=	=	SYM
cana-831	84	15	(	(	PUNCT
cana-831	84	16	−1)2	−1)2	X
cana-831	84	17	휀	휀	NOUN
cana-831	84	18	𝑖	𝑖	NOUN
cana-831	84	19	√휀	√휀	X
cana-831	85	1	𝑎	𝑎	X
cana-831	85	2	(	(	PUNCT
cana-831	85	3	−	−	PROPN
cana-831	85	4	1	1	NUM
cana-831	85	5	𝑖	𝑖	NOUN
cana-831	85	6	√휀	√휀	X
cana-831	85	7	𝑎	𝑎	X
cana-831	85	8	(	(	PUNCT
cana-831	85	9	𝑆(ℑ(𝛿	𝑆(ℑ(𝛿	NOUN
cana-831	85	10	)	)	PUNCT
cana-831	85	11	,	,	PUNCT
cana-831	85	12	휀	휀	X
cana-831	85	13	)	)	PUNCT
cana-831	85	14	휀	휀	NOUN
cana-831	85	15	)	)	PUNCT
cana-831	85	16	′	′	NUM
cana-831	85	17	)	)	PUNCT
cana-831	86	1	′	′	NUM
cana-831	86	2	derivative	derivative	ADJ
cana-831	86	3	both	both	DET
cana-831	86	4	side	side	NOUN
cana-831	86	5	of	of	ADP
cana-831	86	6	above	above	ADP
cana-831	86	7	equation	equation	NOUN
cana-831	86	8	(	(	PUNCT
cana-831	86	9	n-2)-times	n-2)-times	PROPN
cana-831	86	10	,	,	PUNCT
cana-831	86	11	we	we	PRON
cana-831	86	12	get	get	VERB
cana-831	86	13	:	:	PUNCT
cana-831	86	14	𝑆{𝛿𝑛ℑ(𝛿	𝑆{𝛿𝑛ℑ(𝛿	NOUN
cana-831	86	15	)	)	PUNCT
cana-831	86	16	}	}	PUNCT
cana-831	87	1	=	=	SYM
cana-831	88	1	(	(	PUNCT
cana-831	88	2	−1)𝑛	−1)𝑛	X
cana-831	88	3	휀	휀	NOUN
cana-831	88	4	𝑖	𝑖	X
cana-831	88	5	√휀	√휀	X
cana-831	89	1	𝑎	𝑎	X
cana-831	89	2	(	(	PUNCT
cana-831	89	3	1	1	NUM
cana-831	89	4	𝑖	𝑖	NOUN
cana-831	89	5	√휀	√휀	X
cana-831	89	6	𝑎	𝑎	X
cana-831	89	7	(	(	PUNCT
cana-831	89	8	1	1	NUM
cana-831	89	9	𝑖	𝑖	NOUN
cana-831	89	10	√휀	√휀	X
cana-831	89	11	𝑎	𝑎	X
cana-831	89	12	(	(	PUNCT
cana-831	89	13	.	.	PUNCT
cana-831	89	14	.	.	PUNCT
cana-831	89	15	.	.	PUNCT
cana-831	90	1	(	(	PUNCT
cana-831	90	2	1	1	NUM
cana-831	90	3	𝑖	𝑖	NOUN
cana-831	90	4	√휀	√휀	X
cana-831	90	5	𝑎	𝑎	X
cana-831	90	6	(	(	PUNCT
cana-831	90	7	𝑆(ℑ(𝛿	𝑆(ℑ(𝛿	NOUN
cana-831	90	8	)	)	PUNCT
cana-831	90	9	,	,	PUNCT
cana-831	90	10	휀	휀	X
cana-831	90	11	)	)	PUNCT
cana-831	90	12	휀	휀	NOUN
cana-831	90	13	)	)	PUNCT
cana-831	90	14	′	′	NUM
cana-831	90	15	)	)	PUNCT
cana-831	91	1	′	′	NUM
cana-831	91	2	)	)	PUNCT
cana-831	92	1	′	′	NUM
cana-831	92	2	)	)	PUNCT
cana-831	93	1	′	′	INTJ
cana-831	93	2	.	.	PUNCT
cana-831	93	3	.	.	PUNCT
cana-831	93	4	.	.	PUNCT
cana-831	93	5	)	)	PUNCT
cana-831	94	1	′	′	NUM
cana-831	94	2	theorem	theorem	NOUN
cana-831	94	3	5	5	NUM
cana-831	94	4	:	:	PUNCT
cana-831	94	5	let	let	VERB
cana-831	94	6	𝜼(𝜺	𝜼(𝜺	PRON
cana-831	94	7	)	)	PUNCT
cana-831	95	1	=	=	SYM
cana-831	95	2	𝜺	𝜺	NOUN
cana-831	95	3	and	and	CCONJ
cana-831	95	4	𝜷(𝜺	𝜷(𝜺	PROPN
cana-831	95	5	)	)	PUNCT
cana-831	96	1	=	=	SYM
cana-831	96	2	𝑖	𝑖	NOUN
cana-831	96	3	√휀	√휀	X
cana-831	96	4	𝑎	𝑎	NOUN
cana-831	96	5	are	be	AUX
cana-831	96	6	differentiable	differentiable	ADJ
cana-831	96	7	functions	function	NOUN
cana-831	96	8	such	such	ADJ
cana-831	96	9	that	that	PRON
cana-831	96	10	ℑ(𝛿	ℑ(𝛿	NUM
cana-831	96	11	)	)	PUNCT
cana-831	96	12	be	be	AUX
cana-831	96	13	fuzzy	fuzzy	ADJ
cana-831	96	14	function	function	NOUN
cana-831	96	15	,	,	PUNCT
cana-831	96	16	then	then	ADV
cana-831	96	17	:	:	PUNCT
cana-831	96	18	𝑆{𝛿ℑ(𝑛)(𝛿	𝑆{𝛿ℑ(𝑛)(𝛿	PROPN
cana-831	96	19	)	)	PUNCT
cana-831	96	20	}	}	PUNCT
cana-831	97	1	=	=	PUNCT
cana-831	97	2	−	−	PROPN
cana-831	97	3	휀	휀	NOUN
cana-831	97	4	𝑖	𝑖	NOUN
cana-831	97	5	√휀	√휀	X
cana-831	98	1	𝑎	𝑎	X
cana-831	98	2	𝑑	𝑑	PRON
cana-831	98	3	𝑑휀	𝑑휀	X
cana-831	98	4	(	(	PUNCT
cana-831	98	5	𝑆(ℑ(𝑛)(𝛿	𝑆(ℑ(𝑛)(𝛿	PROPN
cana-831	98	6	)	)	PUNCT
cana-831	98	7	)	)	PUNCT
cana-831	99	1	휀	휀	X
cana-831	99	2	)	)	PUNCT
cana-831	99	3	proof	proof	NOUN
cana-831	99	4	:	:	PUNCT
cana-831	99	5	since	since	SCONJ
cana-831	99	6	𝑆{ℑ(𝑛)(𝛿	𝑆{ℑ(𝑛)(𝛿	PROPN
cana-831	99	7	)	)	PUNCT
cana-831	99	8	,	,	PUNCT
cana-831	99	9	휀	휀	NOUN
cana-831	99	10	}	}	PUNCT
cana-831	99	11	=	=	SYM
cana-831	99	12	휀	휀	DET
cana-831	99	13	∫	∫	PROPN
cana-831	99	14	ℑ(𝑛)(𝛿	ℑ(𝑛)(𝛿	PROPN
cana-831	99	15	;	;	PUNCT
cana-831	99	16	𝜗)𝑒−(𝑖	𝜗)𝑒−(𝑖	PROPN
cana-831	99	17	√	√	ADP
cana-831	99	18	𝑎	𝑎	NOUN
cana-831	99	19	)	)	PUNCT
cana-831	99	20	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	99	21	∞	∞	PROPN
cana-831	99	22	0	0	NUM
cana-831	99	23	,	,	PUNCT
cana-831	99	24	휀	휀	DET
cana-831	99	25	∫	∫	PROPN
cana-831	99	26	ℑ	ℑ	PROPN
cana-831	99	27	(	(	PUNCT
cana-831	99	28	𝑛	𝑛	NOUN
cana-831	99	29	)	)	PUNCT
cana-831	99	30	(	(	PUNCT
cana-831	99	31	𝛿	𝛿	ADJ
cana-831	99	32	;	;	PUNCT
cana-831	99	33	𝜗)𝑒−(𝑖	𝜗)𝑒−(𝑖	PROPN
cana-831	99	34	√	√	ADP
cana-831	99	35	𝑎	𝑎	NOUN
cana-831	99	36	)	)	PUNCT
cana-831	99	37	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	99	38	∞	∞	PROPN
cana-831	99	39	0	0	PUNCT
cana-831	99	40	𝑆{ℑ(𝑛)(𝛿	𝑆{ℑ(𝑛)(𝛿	NOUN
cana-831	99	41	)	)	PUNCT
cana-831	99	42	,	,	PUNCT
cana-831	99	43	}	}	PUNCT
cana-831	99	44	=	=	SYM
cana-831	99	45	∫	∫	PROPN
cana-831	99	46	ℑ(𝑛)(𝛿	ℑ(𝑛)(𝛿	PROPN
cana-831	99	47	;	;	PUNCT
cana-831	99	48	𝜗)𝑒−(𝑖	𝜗)𝑒−(𝑖	PROPN
cana-831	99	49	√	√	ADP
cana-831	99	50	𝑎	𝑎	NOUN
cana-831	99	51	)	)	PUNCT
cana-831	99	52	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	99	53	∞	∞	PROPN
cana-831	99	54	0	0	NUM
cana-831	99	55	,	,	PUNCT
cana-831	99	56	∫	∫	PROPN
cana-831	99	57	ℑ	ℑ	PROPN
cana-831	99	58	(	(	PUNCT
cana-831	99	59	𝑛	𝑛	NOUN
cana-831	99	60	)	)	PUNCT
cana-831	99	61	(	(	PUNCT
cana-831	99	62	𝛿	𝛿	ADJ
cana-831	99	63	;	;	PUNCT
cana-831	99	64	𝜗)𝑒−(𝑖	𝜗)𝑒−(𝑖	PROPN
cana-831	99	65	√	√	ADP
cana-831	99	66	𝑎	𝑎	NOUN
cana-831	99	67	)	)	PUNCT
cana-831	99	68	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	99	69	∞	∞	PROPN
cana-831	99	70	0	0	NUM
cana-831	99	71	(	(	PUNCT
cana-831	99	72	2	2	NUM
cana-831	99	73	)	)	PUNCT
cana-831	99	74	by	by	ADP
cana-831	99	75	derivative	derivative	ADJ
cana-831	99	76	above	above	ADP
cana-831	99	77	equation	equation	NOUN
cana-831	99	78	respect	respect	NOUN
cana-831	99	79	to	to	ADP
cana-831	99	80	휀	휀	NOUN
cana-831	99	81	,	,	PUNCT
cana-831	99	82	then	then	ADV
cana-831	99	83	:	:	PUNCT
cana-831	99	84	𝑑	𝑑	PROPN
cana-831	99	85	𝑑휀	𝑑휀	PROPN
cana-831	99	86	[	[	PUNCT
cana-831	99	87	𝑆{ℑ(𝑛)(𝛿	𝑆{ℑ(𝑛)(𝛿	PROPN
cana-831	99	88	)	)	PUNCT
cana-831	99	89	,	,	PUNCT
cana-831	99	90	휀	휀	NOUN
cana-831	99	91	}	}	PUNCT
cana-831	99	92	휀	휀	NOUN
cana-831	99	93	]	]	X
cana-831	99	94	=	=	PUNCT
cana-831	100	1	[	[	X
cana-831	100	2	∫	∫	PROPN
cana-831	100	3	ℑ(𝑛)(𝛿	ℑ(𝑛)(𝛿	PROPN
cana-831	100	4	;	;	PUNCT
cana-831	100	5	𝜗)𝑒−(𝑖	𝜗)𝑒−(𝑖	PROPN
cana-831	100	6	√	√	ADP
cana-831	100	7	𝑎	𝑎	NOUN
cana-831	100	8	)	)	PUNCT
cana-831	100	9	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	100	10	∞	∞	PROPN
cana-831	100	11	0	0	NUM
cana-831	100	12	,	,	PUNCT
cana-831	100	13	∫	∫	PROPN
cana-831	100	14	ℑ	ℑ	PROPN
cana-831	100	15	(	(	PUNCT
cana-831	100	16	𝑛	𝑛	NOUN
cana-831	100	17	)	)	PUNCT
cana-831	100	18	(	(	PUNCT
cana-831	100	19	𝛿	𝛿	ADJ
cana-831	100	20	;	;	PUNCT
cana-831	100	21	𝜗)𝑒−(𝑖	𝜗)𝑒−(𝑖	PROPN
cana-831	100	22	√	√	ADP
cana-831	100	23	𝑎	𝑎	NOUN
cana-831	100	24	)	)	PUNCT
cana-831	100	25	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	100	26	∞	∞	PROPN
cana-831	100	27	0	0	NUM
cana-831	100	28	]	]	PUNCT
cana-831	100	29	communications	communication	NOUN
cana-831	100	30	on	on	ADP
cana-831	100	31	applied	apply	VERB
cana-831	100	32	nonlinear	nonlinear	ADJ
cana-831	100	33	analysis	analysis	NOUN
cana-831	100	34	issn	issn	NOUN
cana-831	100	35	:	:	PUNCT
cana-831	100	36	1074	1074	NUM
cana-831	100	37	-	-	PUNCT
cana-831	100	38	133x	133x	NUM
cana-831	100	39	vol	vol	NOUN
cana-831	100	40	31	31	NUM
cana-831	100	41	no	no	NOUN
cana-831	100	42	.	.	PUNCT
cana-831	101	1	4s	4s	NUM
cana-831	101	2	(	(	PUNCT
cana-831	101	3	2024	2024	NUM
cana-831	101	4	)	)	PUNCT
cana-831	101	5	129	129	NUM
cana-831	102	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-831	102	2	𝑑	𝑑	PROPN
cana-831	102	3	𝑑휀	𝑑휀	PROPN
cana-831	102	4	[	[	PUNCT
cana-831	102	5	𝑆{ℑ(𝑛)(𝛿	𝑆{ℑ(𝑛)(𝛿	PROPN
cana-831	102	6	)	)	PUNCT
cana-831	103	1	,	,	PUNCT
cana-831	103	2	휀	휀	NOUN
cana-831	103	3	}	}	PUNCT
cana-831	103	4	휀	휀	NOUN
cana-831	103	5	]	]	X
cana-831	103	6	=	=	SYM
cana-831	103	7	−(𝑖	−(𝑖	X
cana-831	103	8	√휀	√휀	X
cana-831	103	9	𝑎	𝑎	X
cana-831	103	10	)	)	PUNCT
cana-831	103	11	∫	∫	PROPN
cana-831	103	12	ℑ(𝑛)(𝛿	ℑ(𝑛)(𝛿	PROPN
cana-831	103	13	;	;	PUNCT
cana-831	103	14	𝜗)𝑒−(𝑖	𝜗)𝑒−(𝑖	PROPN
cana-831	103	15	√	√	ADP
cana-831	103	16	𝑎	𝑎	NOUN
cana-831	103	17	)	)	PUNCT
cana-831	103	18	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	103	19	∞	∞	PROPN
cana-831	103	20	0	0	NUM
cana-831	103	21	,	,	PUNCT
cana-831	103	22	−	−	PROPN
cana-831	103	23	(	(	PUNCT
cana-831	103	24	√휀	√휀	X
cana-831	103	25	2𝑛	2𝑛	PROPN
cana-831	103	26	+	+	CCONJ
cana-831	103	27	휀	휀	X
cana-831	103	28	)	)	PUNCT
cana-831	103	29	∫	∫	PROPN
cana-831	103	30	ℑ	ℑ	PROPN
cana-831	103	31	(	(	PUNCT
cana-831	103	32	𝑛	𝑛	NOUN
cana-831	103	33	)	)	PUNCT
cana-831	103	34	(	(	PUNCT
cana-831	103	35	𝛿	𝛿	ADJ
cana-831	103	36	;	;	PUNCT
cana-831	103	37	𝜗)𝑒−(𝑖	𝜗)𝑒−(𝑖	PROPN
cana-831	103	38	√	√	ADP
cana-831	103	39	𝑎	𝑎	NOUN
cana-831	103	40	)	)	PUNCT
cana-831	103	41	𝛿𝑑𝛿	𝛿𝑑𝛿	NOUN
cana-831	103	42	∞	∞	PROPN
cana-831	103	43	0	0	NUM
cana-831	103	44	from	from	ADP
cana-831	103	45	equation	equation	NOUN
cana-831	103	46	2	2	NUM
cana-831	103	47	:	:	PUNCT
cana-831	103	48	𝑑	𝑑	PROPN
cana-831	103	49	𝑑휀	𝑑휀	PROPN
cana-831	103	50	[	[	PUNCT
cana-831	103	51	𝑆{ℑ(𝑛)(𝛿	𝑆{ℑ(𝑛)(𝛿	PROPN
cana-831	103	52	)	)	PUNCT
cana-831	103	53	,	,	PUNCT
cana-831	103	54	휀	휀	NOUN
cana-831	103	55	}	}	PUNCT
cana-831	103	56	휀	휀	NOUN
cana-831	103	57	]	]	X
cana-831	103	58	=	=	SYM
cana-831	103	59	−(𝑖	−(𝑖	X
cana-831	103	60	√휀	√휀	X
cana-831	103	61	𝑎	𝑎	X
cana-831	103	62	)	)	PUNCT
cana-831	103	63	𝑆{𝛿ℑ(𝑛)(𝛿	𝑆{𝛿ℑ(𝑛)(𝛿	PROPN
cana-831	103	64	;	;	PUNCT
cana-831	103	65	𝜗	𝜗	NOUN
cana-831	103	66	)	)	PUNCT
cana-831	103	67	,	,	PUNCT
cana-831	103	68	휀	휀	NOUN
cana-831	103	69	}	}	PUNCT
cana-831	103	70	휀	휀	NOUN
cana-831	103	71	,	,	PUNCT
cana-831	103	72	−(𝑖	−(𝑖	X
cana-831	103	73	√휀	√휀	X
cana-831	103	74	𝑎	𝑎	X
cana-831	103	75	)	)	PUNCT
cana-831	103	76	𝑆	𝑆	PROPN
cana-831	103	77	{	{	PUNCT
cana-831	103	78	𝛿ℑ	𝛿ℑ	PROPN
cana-831	103	79	(	(	PUNCT
cana-831	103	80	𝑛	𝑛	NOUN
cana-831	103	81	)	)	PUNCT
cana-831	103	82	(	(	PUNCT
cana-831	103	83	𝛿	𝛿	ADJ
cana-831	103	84	;	;	PUNCT
cana-831	103	85	𝜗	𝜗	NOUN
cana-831	103	86	)	)	PUNCT
cana-831	103	87	,	,	PUNCT
cana-831	103	88	휀	휀	X
cana-831	103	89	}	}	PUNCT
cana-831	103	90	휀	휀	PROPN
cana-831	103	91	𝑑	𝑑	NOUN
cana-831	103	92	𝑑휀	𝑑휀	PROPN
cana-831	103	93	[	[	PUNCT
cana-831	103	94	𝑆{ℑ(𝑛)(𝛿	𝑆{ℑ(𝑛)(𝛿	PROPN
cana-831	103	95	)	)	PUNCT
cana-831	103	96	,	,	PUNCT
cana-831	103	97	휀	휀	NOUN
cana-831	103	98	}	}	PUNCT
cana-831	103	99	휀	휀	NOUN
cana-831	103	100	]	]	X
cana-831	103	101	=	=	SYM
cana-831	103	102	−(𝑖	−(𝑖	X
cana-831	103	103	√휀	√휀	X
cana-831	103	104	𝑎	𝑎	X
cana-831	103	105	)	)	PUNCT
cana-831	103	106	𝑆{𝛿ℑ(𝑛)(𝛿	𝑆{𝛿ℑ(𝑛)(𝛿	PROPN
cana-831	103	107	;	;	PUNCT
cana-831	103	108	𝜗	𝜗	NOUN
cana-831	103	109	)	)	PUNCT
cana-831	103	110	,	,	PUNCT
cana-831	103	111	휀	휀	X
cana-831	103	112	}	}	PUNCT
cana-831	103	113	휀	휀	NOUN
cana-831	103	114	then	then	ADV
cana-831	103	115	:	:	PUNCT
cana-831	103	116	𝑆{𝛿ℑ(𝑛)(𝛿	𝑆{𝛿ℑ(𝑛)(𝛿	PROPN
cana-831	103	117	)	)	PUNCT
cana-831	103	118	}	}	PUNCT
cana-831	103	119	=	=	PUNCT
cana-831	104	1	−	−	PROPN
cana-831	104	2	𝑖	𝑖	SYM
cana-831	104	3	√	√	NUM
cana-831	105	1	𝑎	𝑎	VERB
cana-831	105	2	𝑑	𝑑	NOUN
cana-831	105	3	𝑑	𝑑	PROPN
cana-831	105	4	(	(	PUNCT
cana-831	105	5	𝑆(ℑ(𝑛)(𝛿	𝑆(ℑ(𝑛)(𝛿	NOUN
cana-831	105	6	)	)	PUNCT
cana-831	105	7	)	)	PUNCT
cana-831	105	8	)	)	PUNCT
cana-831	106	1	3.the	3.the	DET
cana-831	106	2	proposed	propose	VERB
cana-831	106	3	method	method	NOUN
cana-831	106	4	to	to	PART
cana-831	106	5	begin	begin	VERB
cana-831	106	6	,	,	PUNCT
cana-831	106	7	we	we	PRON
cana-831	106	8	use	use	VERB
cana-831	106	9	the	the	DET
cana-831	106	10	aforementioned	aforementioned	ADJ
cana-831	106	11	kama	kama	PROPN
cana-831	106	12	relationship	relationship	NOUN
cana-831	106	13	to	to	PART
cana-831	106	14	configure	configure	VERB
cana-831	106	15	the	the	DET
cana-831	106	16	conversion	conversion	NOUN
cana-831	106	17	function	function	NOUN
cana-831	106	18	for	for	ADP
cana-831	106	19	a	a	DET
cana-831	106	20	fuzzy	fuzzy	ADJ
cana-831	106	21	transform	transform	NOUN
cana-831	106	22	of	of	ADP
cana-831	106	23	blocks	block	NOUN
cana-831	106	24	in	in	ADP
cana-831	106	25	a	a	DET
cana-831	106	26	specific	specific	ADJ
cana-831	106	27	space	space	NOUN
cana-831	106	28	configuration.converting	configuration.converte	VERB
cana-831	106	29	gamma	gamma	NOUN
cana-831	106	30	functions	function	NOUN
cana-831	106	31	.	.	PUNCT
cana-831	107	1	methodological	methodological	ADJ
cana-831	107	2	building	building	NOUN
cana-831	107	3	blocks	block	NOUN
cana-831	107	4	of	of	ADP
cana-831	107	5	the	the	DET
cana-831	107	6	proposed	propose	VERB
cana-831	107	7	approach	approach	NOUN
cana-831	107	8	step	step	VERB
cana-831	107	9	one	one	NUM
cana-831	107	10	:	:	PUNCT
cana-831	107	11	examine	examine	VERB
cana-831	107	12	the	the	DET
cana-831	107	13	cancer	cancer	NOUN
cana-831	107	14	image	image	NOUN
cana-831	107	15	partitioning	partition	VERB
cana-831	107	16	the	the	DET
cana-831	107	17	cancer	cancer	NOUN
cana-831	107	18	picture	picture	NOUN
cana-831	107	19	,	,	PUNCT
cana-831	107	20	part	part	NOUN
cana-831	107	21	2	2	NUM
cana-831	107	22	the	the	DET
cana-831	107	23	visual	visual	ADJ
cana-831	107	24	and	and	CCONJ
cana-831	107	25	our	our	PRON
cana-831	107	26	response	response	NOUN
cana-831	107	27	are	be	AUX
cana-831	107	28	governed	govern	VERB
cana-831	107	29	by	by	ADP
cana-831	107	30	the	the	DET
cana-831	107	31	beta	beta	NOUN
cana-831	107	32	function	function	NOUN
cana-831	107	33	.	.	PUNCT
cana-831	108	1	part	part	NOUN
cana-831	108	2	3	3	NUM
cana-831	108	3	compensating	compensate	VERB
cana-831	108	4	variables	variable	NOUN
cana-831	108	5	(	(	PUNCT
cana-831	108	6	x	x	X
cana-831	108	7	,	,	PUNCT
cana-831	108	8	y	y	NOUN
cana-831	108	9	)	)	PUNCT
cana-831	108	10	fourier	fourier	NOUN
cana-831	108	11	expansion	expansion	NOUN
cana-831	108	12	fuzzy	fuzzy	ADJ
cana-831	108	13	transform	transform	VERB
cana-831	108	14	to	to	PART
cana-831	108	15	locate	locate	VERB
cana-831	108	16	correlation	correlation	NOUN
cana-831	108	17	based	base	VERB
cana-831	108	18	on	on	ADP
cana-831	108	19	the	the	DET
cana-831	108	20	beta	beta	NOUN
cana-831	108	21	-	-	PUNCT
cana-831	108	22	gamma	gamma	NOUN
cana-831	108	23	relationship	relationship	NOUN
cana-831	108	24	part	part	NOUN
cana-831	108	25	4	4	NUM
cana-831	108	26	.	.	NOUN
cana-831	108	27	apply	apply	VERB
cana-831	108	28	conversion	conversion	NOUN
cana-831	108	29	filters	filter	NOUN
cana-831	108	30	to	to	PART
cana-831	108	31	get	get	VERB
cana-831	108	32	rid	rid	VERB
cana-831	108	33	of	of	ADP
cana-831	108	34	the	the	DET
cana-831	108	35	noise	noise	NOUN
cana-831	108	36	in	in	ADP
cana-831	108	37	the	the	DET
cana-831	108	38	background	background	NOUN
cana-831	108	39	.	.	PUNCT
cana-831	109	1	part	part	NOUN
cana-831	109	2	5	5	NUM
cana-831	109	3	:	:	PUNCT
cana-831	109	4	identify	identify	VERB
cana-831	109	5	the	the	DET
cana-831	109	6	damaged	damage	VERB
cana-831	109	7	region	region	NOUN
cana-831	109	8	in	in	ADP
cana-831	109	9	the	the	DET
cana-831	109	10	original	original	ADJ
cana-831	109	11	image	image	NOUN
cana-831	109	12	and	and	CCONJ
cana-831	109	13	replace	replace	VERB
cana-831	109	14	the	the	DET
cana-831	109	15	part	part	NOUN
cana-831	109	16	.	.	PUNCT
cana-831	110	1	part	part	NOUN
cana-831	110	2	6	6	NUM
cana-831	110	3	:	:	PUNCT
cana-831	110	4	statistical	statistical	ADJ
cana-831	110	5	analysis	analysis	NOUN
cana-831	110	6	of	of	ADP
cana-831	110	7	illness	illness	NOUN
cana-831	110	8	progression	progression	NOUN
cana-831	110	9	and	and	CCONJ
cana-831	110	10	mapping	mapping	NOUN
cana-831	110	11	of	of	ADP
cana-831	110	12	hotspots	hotspot	NOUN
cana-831	110	13	4	4	NUM
cana-831	110	14	.	.	PUNCT
cana-831	110	15	test	test	NOUN
cana-831	110	16	environment	environment	NOUN
cana-831	110	17	fifty	fifty	NUM
cana-831	110	18	images	image	NOUN
cana-831	110	19	were	be	AUX
cana-831	110	20	obtained	obtain	VERB
cana-831	110	21	from	from	ADP
cana-831	110	22	several	several	ADJ
cana-831	110	23	online	online	ADJ
cana-831	110	24	skin	skin	NOUN
cana-831	110	25	cancer	cancer	NOUN
cana-831	110	26	databases	database	NOUN
cana-831	110	27	.	.	PUNCT
cana-831	111	1	in	in	ADP
cana-831	111	2	some	some	DET
cana-831	111	3	cases	case	NOUN
cana-831	111	4	,	,	PUNCT
cana-831	111	5	such	such	ADJ
cana-831	111	6	as	as	ADP
cana-831	111	7	months	month	NOUN
cana-831	111	8	,	,	PUNCT
cana-831	111	9	six	six	NUM
cana-831	111	10	months	month	NOUN
cana-831	111	11	,	,	PUNCT
cana-831	111	12	15	15	NUM
cana-831	111	13	months	month	NOUN
cana-831	111	14	,	,	PUNCT
cana-831	111	15	and	and	CCONJ
cana-831	111	16	27	27	NUM
cana-831	111	17	months	month	NOUN
cana-831	111	18	,	,	PUNCT
cana-831	111	19	the	the	DET
cana-831	111	20	disease	disease	NOUN
cana-831	111	21	period	period	NOUN
cana-831	111	22	is	be	AUX
cana-831	111	23	established	establish	VERB
cana-831	111	24	,	,	PUNCT
cana-831	111	25	and	and	CCONJ
cana-831	111	26	any	any	DET
cana-831	111	27	further	further	ADJ
cana-831	111	28	revisions	revision	NOUN
cana-831	111	29	to	to	ADP
cana-831	111	30	the	the	DET
cana-831	111	31	disease	disease	NOUN
cana-831	111	32	period	period	NOUN
cana-831	111	33	are	be	AUX
cana-831	111	34	also	also	ADV
cana-831	111	35	established.it	established.it	NOUN
cana-831	111	36	was	be	AUX
cana-831	111	37	also	also	ADV
cana-831	111	38	employed	employ	VERB
cana-831	111	39	in	in	ADP
cana-831	111	40	a	a	DET
cana-831	111	41	diagnostic	diagnostic	ADJ
cana-831	111	42	analysis	analysis	NOUN
cana-831	111	43	of	of	ADP
cana-831	111	44	the	the	DET
cana-831	111	45	condition	condition	NOUN
cana-831	111	46	,	,	PUNCT
cana-831	111	47	narrowing	narrow	VERB
cana-831	111	48	in	in	ADP
cana-831	111	49	on	on	ADP
cana-831	111	50	its	its	PRON
cana-831	111	51	unique	unique	ADJ
cana-831	111	52	manifestations	manifestation	NOUN
cana-831	111	53	.	.	PUNCT
cana-831	112	1	the	the	DET
cana-831	112	2	database	database	NOUN
cana-831	112	3	sample	sample	NOUN
cana-831	112	4	for	for	ADP
cana-831	112	5	the	the	DET
cana-831	112	6	suggested	suggest	VERB
cana-831	112	7	technique	technique	NOUN
cana-831	112	8	is	be	AUX
cana-831	112	9	shown	show	VERB
cana-831	112	10	in	in	ADP
cana-831	112	11	figure	figure	NOUN
cana-831	112	12	1	1	NUM
cana-831	112	13	.	.	PUNCT
cana-831	113	1	communications	communication	NOUN
cana-831	113	2	on	on	ADP
cana-831	113	3	applied	apply	VERB
cana-831	113	4	nonlinear	nonlinear	ADJ
cana-831	113	5	analysis	analysis	NOUN
cana-831	113	6	issn	issn	NOUN
cana-831	113	7	:	:	PUNCT
cana-831	113	8	1074	1074	NUM
cana-831	113	9	-	-	PUNCT
cana-831	113	10	133x	133x	NUM
cana-831	113	11	vol	vol	NOUN
cana-831	113	12	31	31	NUM
cana-831	113	13	no	no	NOUN
cana-831	113	14	.	.	PUNCT
cana-831	114	1	4s	4s	NUM
cana-831	114	2	(	(	PUNCT
cana-831	114	3	2024	2024	NUM
cana-831	114	4	)	)	PUNCT
cana-831	114	5	130	130	NUM
cana-831	114	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-831	114	7	figure	figure	NOUN
cana-831	114	8	1	1	NUM
cana-831	114	9	:	:	PUNCT
cana-831	114	10	sample	sample	NOUN
cana-831	114	11	of	of	ADP
cana-831	114	12	the	the	DET
cana-831	114	13	database	database	NOUN
cana-831	114	14	used	use	VERB
cana-831	114	15	in	in	ADP
cana-831	114	16	the	the	DET
cana-831	114	17	proposed	propose	VERB
cana-831	114	18	method	method	NOUN
cana-831	114	19	5	5	NUM
cana-831	114	20	.	.	PUNCT
cana-831	114	21	discussion	discussion	NOUN
cana-831	114	22	and	and	CCONJ
cana-831	114	23	results	result	VERB
cana-831	114	24	a	a	DET
cana-831	114	25	color	color	NOUN
cana-831	114	26	space	space	NOUN
cana-831	114	27	is	be	AUX
cana-831	114	28	a	a	DET
cana-831	114	29	mathematical	mathematical	ADJ
cana-831	114	30	model	model	NOUN
cana-831	114	31	with	with	ADP
cana-831	114	32	a	a	DET
cana-831	114	33	specified	specified	ADJ
cana-831	114	34	mapping	mapping	NOUN
cana-831	114	35	of	of	ADP
cana-831	114	36	three	three	NUM
cana-831	114	37	values	value	NOUN
cana-831	114	38	that	that	PRON
cana-831	114	39	allows	allow	VERB
cana-831	114	40	for	for	ADP
cana-831	114	41	the	the	DET
cana-831	114	42	translation	translation	NOUN
cana-831	114	43	of	of	ADP
cana-831	114	44	color	color	NOUN
cana-831	114	45	information	information	NOUN
cana-831	114	46	from	from	ADP
cana-831	114	47	one	one	NUM
cana-831	114	48	setting	set	VERB
cana-831	114	49	to	to	ADP
cana-831	114	50	another	another	PRON
cana-831	114	51	by	by	ADP
cana-831	114	52	means	mean	NOUN
cana-831	114	53	of	of	ADP
cana-831	114	54	a	a	DET
cana-831	114	55	collection	collection	NOUN
cana-831	114	56	of	of	ADP
cana-831	114	57	simultaneous	simultaneous	ADJ
cana-831	114	58	ratios	ratio	NOUN
cana-831	114	59	.	.	PUNCT
cana-831	115	1	pixels	pixel	NOUN
cana-831	115	2	must	must	AUX
cana-831	115	3	be	be	AUX
cana-831	115	4	differentiated	differentiate	VERB
cana-831	115	5	by	by	ADP
cana-831	115	6	color	color	NOUN
cana-831	115	7	to	to	PART
cana-831	115	8	demonstrate	demonstrate	VERB
cana-831	115	9	the	the	DET
cana-831	115	10	effect	effect	NOUN
cana-831	115	11	of	of	ADP
cana-831	115	12	red	red	ADJ
cana-831	115	13	,	,	PUNCT
cana-831	115	14	green	green	ADJ
cana-831	115	15	,	,	PUNCT
cana-831	115	16	and	and	CCONJ
cana-831	115	17	blue	blue	ADJ
cana-831	115	18	layers	layer	NOUN
cana-831	115	19	on	on	ADP
cana-831	115	20	a	a	DET
cana-831	115	21	cancer	cancer	NOUN
cana-831	115	22	image	image	NOUN
cana-831	115	23	's	's	PART
cana-831	115	24	overall	overall	ADJ
cana-831	115	25	effectiveness	effectiveness	NOUN
cana-831	115	26	.	.	PUNCT
cana-831	116	1	figure	figure	NOUN
cana-831	116	2	2	2	NUM
cana-831	116	3	dissects	dissect	VERB
cana-831	116	4	the	the	DET
cana-831	116	5	cancer	cancer	NOUN
cana-831	116	6	picture	picture	NOUN
cana-831	116	7	into	into	ADP
cana-831	116	8	its	its	PRON
cana-831	116	9	constituent	constituent	ADJ
cana-831	116	10	parts	part	NOUN
cana-831	116	11	.	.	PUNCT
cana-831	117	1	figure	figure	NOUN
cana-831	117	2	2	2	NUM
cana-831	117	3	:	:	PUNCT
cana-831	117	4	separation	separation	NOUN
cana-831	117	5	of	of	ADP
cana-831	117	6	the	the	DET
cana-831	117	7	components	component	NOUN
cana-831	117	8	of	of	ADP
cana-831	117	9	the	the	DET
cana-831	117	10	cancer	cancer	NOUN
cana-831	117	11	image	image	NOUN
cana-831	117	12	.	.	PUNCT
cana-831	118	1	communications	communication	NOUN
cana-831	118	2	on	on	ADP
cana-831	118	3	applied	apply	VERB
cana-831	118	4	nonlinear	nonlinear	ADJ
cana-831	118	5	analysis	analysis	NOUN
cana-831	118	6	issn	issn	NOUN
cana-831	118	7	:	:	PUNCT
cana-831	118	8	1074	1074	NUM
cana-831	118	9	-	-	PUNCT
cana-831	118	10	133x	133x	NUM
cana-831	118	11	vol	vol	NOUN
cana-831	118	12	31	31	NUM
cana-831	118	13	no	no	NOUN
cana-831	118	14	.	.	PUNCT
cana-831	119	1	4s	4s	NUM
cana-831	119	2	(	(	PUNCT
cana-831	119	3	2024	2024	NUM
cana-831	119	4	)	)	PUNCT
cana-831	119	5	131	131	NUM
cana-831	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-831	119	7	under	under	ADP
cana-831	119	8	horizontal	horizontal	ADJ
cana-831	119	9	enlightenment	enlightenment	PROPN
cana-831	119	10	the	the	DET
cana-831	119	11	spectral	spectral	ADJ
cana-831	119	12	responses	response	NOUN
cana-831	119	13	of	of	ADP
cana-831	119	14	pixels	pixel	NOUN
cana-831	119	15	at	at	ADP
cana-831	119	16	the	the	DET
cana-831	119	17	edges	edge	NOUN
cana-831	119	18	alter	alter	NOUN
cana-831	119	19	,	,	PUNCT
cana-831	119	20	but	but	CCONJ
cana-831	119	21	in	in	ADP
cana-831	119	22	a	a	DET
cana-831	119	23	different	different	ADJ
cana-831	119	24	way	way	NOUN
cana-831	119	25	(	(	PUNCT
cana-831	119	26	color	color	NOUN
cana-831	119	27	transmission	transmission	NOUN
cana-831	119	28	is	be	AUX
cana-831	119	29	only	only	ADV
cana-831	119	30	slightly	slightly	ADV
cana-831	119	31	reduced	reduce	VERB
cana-831	119	32	)	)	PUNCT
cana-831	119	33	.	.	PUNCT
cana-831	120	1	this	this	PRON
cana-831	120	2	is	be	AUX
cana-831	120	3	due	due	ADJ
cana-831	120	4	to	to	ADP
cana-831	120	5	the	the	DET
cana-831	120	6	performance	performance	NOUN
cana-831	120	7	of	of	ADP
cana-831	120	8	conversion	conversion	NOUN
cana-831	120	9	of	of	ADP
cana-831	120	10	orthogonal	orthogonal	ADJ
cana-831	120	11	fuzzy	fuzzy	ADJ
cana-831	120	12	transform	transform	NOUN
cana-831	120	13	function	function	NOUN
cana-831	120	14	.	.	PUNCT
cana-831	121	1	steps	step	NOUN
cana-831	121	2	3	3	NUM
cana-831	121	3	,	,	PUNCT
cana-831	121	4	4	4	NUM
cana-831	121	5	,	,	PUNCT
cana-831	121	6	5	5	NUM
cana-831	121	7	,	,	PUNCT
cana-831	121	8	and	and	CCONJ
cana-831	121	9	6	6	NUM
cana-831	121	10	of	of	ADP
cana-831	121	11	the	the	DET
cana-831	121	12	proposed	propose	VERB
cana-831	121	13	beta	beta	NOUN
cana-831	121	14	-	-	PUNCT
cana-831	121	15	beta	beta	NOUN
cana-831	121	16	analysis	analysis	NOUN
cana-831	121	17	method	method	NOUN
cana-831	121	18	for	for	ADP
cana-831	121	19	detecting	detect	VERB
cana-831	121	20	cancer	cancer	NOUN
cana-831	121	21	are	be	AUX
cana-831	121	22	depicted	depict	VERB
cana-831	121	23	in	in	ADP
cana-831	121	24	figure	figure	NOUN
cana-831	121	25	3	3	NUM
cana-831	121	26	.	.	PUNCT
cana-831	122	1	the	the	DET
cana-831	122	2	distinction	distinction	NOUN
cana-831	122	3	is	be	AUX
cana-831	122	4	crystal	crystal	NOUN
cana-831	122	5	evident	evident	ADJ
cana-831	122	6	to	to	ADP
cana-831	122	7	us	we	PRON
cana-831	122	8	.	.	PUNCT
cana-831	123	1	when	when	SCONJ
cana-831	123	2	pixels	pixel	NOUN
cana-831	123	3	of	of	ADP
cana-831	123	4	the	the	DET
cana-831	123	5	disease	disease	NOUN
cana-831	123	6	were	be	AUX
cana-831	123	7	concentrated	concentrate	VERB
cana-831	123	8	and	and	CCONJ
cana-831	123	9	clearly	clearly	ADV
cana-831	123	10	collected	collect	VERB
cana-831	123	11	to	to	PART
cana-831	123	12	identify	identify	VERB
cana-831	123	13	the	the	DET
cana-831	123	14	location	location	NOUN
cana-831	123	15	of	of	ADP
cana-831	123	16	severe	severe	ADJ
cana-831	123	17	and	and	CCONJ
cana-831	123	18	grave	grave	ADJ
cana-831	123	19	injury	injury	NOUN
cana-831	123	20	to	to	ADP
cana-831	123	21	cancer	cancer	NOUN
cana-831	123	22	,	,	PUNCT
cana-831	123	23	the	the	DET
cana-831	123	24	number	number	NOUN
cana-831	123	25	of	of	ADP
cana-831	123	26	months	month	NOUN
cana-831	123	27	increased	increase	VERB
cana-831	123	28	.	.	PUNCT
cana-831	124	1	case	case	NOUN
cana-831	124	2	one	one	NUM
cana-831	124	3	and	and	CCONJ
cana-831	124	4	laves	laves	PROPN
cana-831	124	5	case	case	NOUN
cana-831	124	6	two	two	NUM
cana-831	124	7	and	and	CCONJ
cana-831	124	8	laves	lave	NOUN
cana-831	124	9	figure3	figure3	PROPN
cana-831	125	1	:	:	PUNCT
cana-831	125	2	the	the	DET
cana-831	125	3	steps	step	NOUN
cana-831	125	4	proposed	propose	VERB
cana-831	125	5	algorithm	algorithm	NOUN
cana-831	125	6	to	to	PART
cana-831	125	7	analyze	analyze	VERB
cana-831	125	8	the	the	DET
cana-831	125	9	effect	effect	NOUN
cana-831	125	10	of	of	ADP
cana-831	125	11	beta	beta	NOUN
cana-831	125	12	-	-	PUNCT
cana-831	125	13	beta	beta	NOUN
cana-831	125	14	to	to	PART
cana-831	125	15	determine	determine	VERB
cana-831	125	16	cancer	cancer	NOUN
cana-831	125	17	there	there	PRON
cana-831	125	18	are	be	VERB
cana-831	125	19	some	some	PRON
cana-831	125	20	extremely	extremely	ADV
cana-831	125	21	near	near	ADP
cana-831	125	22	pixels	pixel	NOUN
cana-831	125	23	that	that	PRON
cana-831	125	24	appear	appear	VERB
cana-831	125	25	like	like	SCONJ
cana-831	125	26	they	they	PRON
cana-831	125	27	're	be	AUX
cana-831	125	28	touching	touching	ADJ
cana-831	125	29	but	but	CCONJ
cana-831	125	30	actually	actually	ADV
cana-831	125	31	are	be	AUX
cana-831	125	32	n't	not	PART
cana-831	125	33	.	.	PUNCT
cana-831	126	1	the	the	DET
cana-831	126	2	algorithm	algorithm	NOUN
cana-831	126	3	cuts	cut	VERB
cana-831	126	4	out	out	ADP
cana-831	126	5	the	the	DET
cana-831	126	6	sections	section	NOUN
cana-831	126	7	of	of	ADP
cana-831	126	8	the	the	DET
cana-831	126	9	image	image	NOUN
cana-831	126	10	with	with	ADP
cana-831	126	11	the	the	DET
cana-831	126	12	most	most	ADV
cana-831	126	13	significant	significant	ADJ
cana-831	126	14	color	color	NOUN
cana-831	126	15	layer	layer	NOUN
cana-831	126	16	and	and	CCONJ
cana-831	126	17	local	local	ADJ
cana-831	126	18	performance	performance	NOUN
cana-831	126	19	to	to	PART
cana-831	126	20	better	well	ADV
cana-831	126	21	differentiate	differentiate	VERB
cana-831	126	22	between	between	ADP
cana-831	126	23	pixels	pixel	NOUN
cana-831	126	24	within	within	ADP
cana-831	126	25	the	the	DET
cana-831	126	26	bigger	big	ADJ
cana-831	126	27	region	region	NOUN
cana-831	126	28	.	.	PUNCT
cana-831	127	1	once	once	ADV
cana-831	127	2	the	the	DET
cana-831	127	3	damaged	damage	VERB
cana-831	127	4	area	area	NOUN
cana-831	127	5	from	from	ADP
cana-831	127	6	an	an	DET
cana-831	127	7	image	image	NOUN
cana-831	127	8	of	of	ADP
cana-831	127	9	cancer	cancer	NOUN
cana-831	127	10	has	have	AUX
cana-831	127	11	been	be	AUX
cana-831	127	12	identified	identify	VERB
cana-831	127	13	,	,	PUNCT
cana-831	127	14	as	as	SCONJ
cana-831	127	15	shown	show	VERB
cana-831	127	16	in	in	ADP
cana-831	127	17	figure	figure	NOUN
cana-831	127	18	4	4	NUM
cana-831	127	19	,	,	PUNCT
cana-831	127	20	the	the	DET
cana-831	127	21	disease	disease	NOUN
cana-831	127	22	's	's	PART
cana-831	127	23	concentration	concentration	NOUN
cana-831	127	24	and	and	CCONJ
cana-831	127	25	spread	spread	NOUN
cana-831	127	26	can	can	AUX
cana-831	127	27	be	be	AUX
cana-831	127	28	seen	see	VERB
cana-831	127	29	.	.	PUNCT
cana-831	128	1	mycosis	mycosis	NOUN
cana-831	128	2	fungoides	fungoide	NOUN
cana-831	128	3	:	:	PUNCT
cana-831	128	4	medical	medical	ADJ
cana-831	128	5	disorder	disorder	NOUN
cana-831	128	6	topic	topic	NOUN
cana-831	128	7	:	:	PUNCT
cana-831	128	8	although	although	SCONJ
cana-831	128	9	it	it	PRON
cana-831	128	10	is	be	AUX
cana-831	128	11	very	very	ADV
cana-831	128	12	rare	rare	ADJ
cana-831	128	13	,	,	PUNCT
cana-831	128	14	mycosis	mycosis	NOUN
cana-831	128	15	fungoides	fungoide	NOUN
cana-831	128	16	is	be	AUX
cana-831	128	17	one	one	NUM
cana-831	128	18	of	of	ADP
cana-831	128	19	the	the	DET
cana-831	128	20	cutaneous	cutaneous	ADJ
cana-831	128	21	malignancies	malignancy	NOUN
cana-831	128	22	that	that	PRON
cana-831	128	23	affects	affect	VERB
cana-831	128	24	skin	skin	NOUN
cana-831	128	25	and	and	CCONJ
cana-831	128	26	its	its	PRON
cana-831	128	27	features	feature	NOUN
cana-831	128	28	are	be	AUX
cana-831	128	29	associated	associate	VERB
cana-831	128	30	with	with	ADP
cana-831	128	31	the	the	DET
cana-831	128	32	malignant	malignant	ADJ
cana-831	128	33	proliferation	proliferation	NOUN
cana-831	128	34	of	of	ADP
cana-831	128	35	t	t	PROPN
cana-831	128	36	lymphocytes	lymphocyte	NOUN
cana-831	128	37	.	.	PUNCT
cana-831	129	1	definition	definition	NOUN
cana-831	129	2	:	:	PUNCT
cana-831	129	3	mycosis	mycosis	NOUN
cana-831	129	4	fungoides	fungoide	NOUN
cana-831	129	5	is	be	AUX
cana-831	129	6	considered	consider	VERB
cana-831	129	7	a	a	DET
cana-831	129	8	rare	rare	ADJ
cana-831	129	9	skin	skin	NOUN
cana-831	129	10	malignancy	malignancy	NOUN
cana-831	129	11	and	and	CCONJ
cana-831	129	12	is	be	AUX
cana-831	129	13	also	also	ADV
cana-831	129	14	among	among	ADP
cana-831	129	15	the	the	DET
cana-831	129	16	most	most	ADV
cana-831	129	17	slow	slow	ADV
cana-831	129	18	-	-	PUNCT
cana-831	129	19	growing	growing	NOUN
cana-831	129	20	of	of	ADP
cana-831	129	21	all	all	DET
cana-831	129	22	known	know	VERB
cana-831	129	23	cutaneous	cutaneous	ADJ
cana-831	129	24	t	t	PROPN
cana-831	129	25	-	-	PUNCT
cana-831	129	26	cell	cell	NOUN
cana-831	129	27	malignancies	malignancy	NOUN
cana-831	129	28	,	,	PUNCT
cana-831	129	29	originating	originate	VERB
cana-831	129	30	from	from	ADP
cana-831	129	31	white	white	ADJ
cana-831	129	32	blood	blood	NOUN
cana-831	129	33	cells	cell	NOUN
cana-831	129	34	.	.	PUNCT
cana-831	130	1	this	this	DET
cana-831	130	2	disease	disease	NOUN
cana-831	130	3	is	be	AUX
cana-831	130	4	communications	communication	NOUN
cana-831	130	5	on	on	ADP
cana-831	130	6	applied	apply	VERB
cana-831	130	7	nonlinear	nonlinear	ADJ
cana-831	130	8	analysis	analysis	NOUN
cana-831	130	9	issn	issn	NOUN
cana-831	130	10	:	:	PUNCT
cana-831	130	11	1074	1074	NUM
cana-831	130	12	-	-	PUNCT
cana-831	130	13	133x	133x	NUM
cana-831	130	14	vol	vol	NOUN
cana-831	130	15	31	31	NUM
cana-831	130	16	no	no	NOUN
cana-831	130	17	.	.	PUNCT
cana-831	131	1	4s	4s	NUM
cana-831	131	2	(	(	PUNCT
cana-831	131	3	2024	2024	NUM
cana-831	131	4	)	)	PUNCT
cana-831	131	5	132	132	NUM
cana-831	131	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-831	131	7	chronic	chronic	ADJ
cana-831	131	8	like	like	ADP
cana-831	131	9	most	most	ADJ
cana-831	131	10	other	other	ADJ
cana-831	131	11	skin	skin	NOUN
cana-831	131	12	diseases	disease	NOUN
cana-831	131	13	and	and	CCONJ
cana-831	131	14	may	may	AUX
cana-831	131	15	take	take	VERB
cana-831	131	16	several	several	ADJ
cana-831	131	17	years	year	NOUN
cana-831	131	18	before	before	SCONJ
cana-831	131	19	the	the	DET
cana-831	131	20	disease	disease	NOUN
cana-831	131	21	becomes	become	VERB
cana-831	131	22	fully	fully	ADV
cana-831	131	23	visible	visible	ADJ
cana-831	131	24	and	and	CCONJ
cana-831	131	25	patients	patient	NOUN
cana-831	131	26	present	present	ADJ
cana-831	131	27	with	with	ADP
cana-831	131	28	a	a	DET
cana-831	131	29	rash	rash	NOUN
cana-831	131	30	which	which	PRON
cana-831	131	31	may	may	AUX
cana-831	131	32	be	be	AUX
cana-831	131	33	of	of	ADP
cana-831	131	34	any	any	DET
cana-831	131	35	type(27	type(27	NOUN
cana-831	131	36	-	-	PUNCT
cana-831	131	37	29	29	NUM
cana-831	131	38	)	)	PUNCT
cana-831	131	39	.	.	PUNCT
cana-831	132	1	causes	cause	VERB
cana-831	132	2	:	:	PUNCT
cana-831	132	3	hiv	hiv	PROPN
cana-831	132	4	is	be	AUX
cana-831	132	5	a	a	DET
cana-831	132	6	known	know	VERB
cana-831	132	7	trigger	trigger	NOUN
cana-831	132	8	of	of	ADP
cana-831	132	9	mycosis	mycosis	NOUN
cana-831	132	10	fungoides	fungoide	NOUN
cana-831	132	11	;	;	PUNCT
cana-831	132	12	however	however	ADV
cana-831	132	13	,	,	PUNCT
cana-831	132	14	the	the	DET
cana-831	132	15	specific	specific	ADJ
cana-831	132	16	cause	cause	NOUN
cana-831	132	17	of	of	ADP
cana-831	132	18	the	the	DET
cana-831	132	19	disease	disease	NOUN
cana-831	132	20	remains	remain	VERB
cana-831	132	21	undetermined	undetermined	ADJ
cana-831	132	22	despite	despite	SCONJ
cana-831	132	23	evidence	evidence	NOUN
cana-831	132	24	indicating	indicate	VERB
cana-831	132	25	that	that	SCONJ
cana-831	132	26	it	it	PRON
cana-831	132	27	is	be	AUX
cana-831	132	28	precipitated	precipitate	VERB
cana-831	132	29	by	by	ADP
cana-831	132	30	a	a	DET
cana-831	132	31	parasitic	parasitic	ADJ
cana-831	132	32	fungus	fungus	NOUN
cana-831	132	33	.	.	PUNCT
cana-831	133	1	however	however	ADV
cana-831	133	2	,	,	PUNCT
cana-831	133	3	as	as	SCONJ
cana-831	133	4	tests	test	NOUN
cana-831	133	5	have	have	AUX
cana-831	133	6	pointed	point	VERB
cana-831	133	7	out	out	ADP
cana-831	133	8	that	that	SCONJ
cana-831	133	9	there	there	PRON
cana-831	133	10	could	could	AUX
cana-831	133	11	be	be	AUX
cana-831	133	12	a	a	DET
cana-831	133	13	genetic	genetic	ADJ
cana-831	133	14	root	root	NOUN
cana-831	133	15	to	to	ADP
cana-831	133	16	this	this	DET
cana-831	133	17	disease	disease	NOUN
cana-831	133	18	,	,	PUNCT
cana-831	133	19	scholars	scholar	NOUN
cana-831	133	20	still	still	ADV
cana-831	133	21	point	point	VERB
cana-831	133	22	out	out	ADP
cana-831	133	23	certain	certain	ADJ
cana-831	133	24	traits	trait	NOUN
cana-831	133	25	of	of	ADP
cana-831	133	26	genetic	genetic	ADJ
cana-831	133	27	and	and	CCONJ
cana-831	133	28	immunity	immunity	NOUN
cana-831	133	29	risk	risk	NOUN
cana-831	133	30	factors	factor	NOUN
cana-831	133	31	in	in	ADP
cana-831	133	32	the	the	DET
cana-831	133	33	creation	creation	NOUN
cana-831	133	34	of	of	ADP
cana-831	133	35	schizophrenia	schizophrenia	NOUN
cana-831	133	36	.	.	PUNCT
cana-831	134	1	it	it	PRON
cana-831	134	2	has	have	AUX
cana-831	134	3	also	also	ADV
cana-831	134	4	been	be	AUX
cana-831	134	5	hypothesized	hypothesize	VERB
cana-831	134	6	that	that	SCONJ
cana-831	134	7	maybe	maybe	ADV
cana-831	134	8	there	there	PRON
cana-831	134	9	are	be	VERB
cana-831	134	10	also	also	ADV
cana-831	134	11	certain	certain	ADJ
cana-831	134	12	pathologies	pathology	NOUN
cana-831	134	13	that	that	PRON
cana-831	134	14	result	result	VERB
cana-831	134	15	from	from	ADP
cana-831	134	16	the	the	DET
cana-831	134	17	effects	effect	NOUN
cana-831	134	18	of	of	ADP
cana-831	134	19	some	some	DET
cana-831	134	20	chemicals	chemical	NOUN
cana-831	134	21	or	or	CCONJ
cana-831	134	22	infections	infection	NOUN
cana-831	134	23	over	over	ADP
cana-831	134	24	time(11	time(11	NOUN
cana-831	134	25	)	)	PUNCT
cana-831	134	26	.	.	PUNCT
cana-831	135	1	topic	topic	NOUN
cana-831	135	2	:	:	PUNCT
cana-831	135	3	mf	mf	PROPN
cana-831	135	4	is	be	AUX
cana-831	135	5	a	a	DET
cana-831	135	6	particularly	particularly	ADV
cana-831	135	7	infrequent	infrequent	ADJ
cana-831	135	8	cutaneous	cutaneous	ADJ
cana-831	135	9	lymphoma	lymphoma	NOUN
cana-831	135	10	that	that	PRON
cana-831	135	11	begins	begin	VERB
cana-831	135	12	with	with	ADP
cana-831	135	13	pruritic	pruritic	ADJ
cana-831	135	14	skin	skin	NOUN
cana-831	135	15	papules	papule	NOUN
cana-831	135	16	/	/	SYM
cana-831	135	17	macules	macule	NOUN
cana-831	135	18	and/	and/	NOUN
cana-831	135	19	or	or	CCONJ
cana-831	135	20	plaques	plaque	NOUN
cana-831	135	21	or	or	CCONJ
cana-831	135	22	infiltrated	infiltrate	VERB
cana-831	135	23	nodules	nodule	NOUN
cana-831	135	24	coming	come	VERB
cana-831	135	25	in	in	ADP
cana-831	135	26	clusters	cluster	NOUN
cana-831	135	27	.	.	PUNCT
cana-831	136	1	symptoms	symptom	NOUN
cana-831	136	2	:	:	PUNCT
cana-831	136	3	1	1	X
cana-831	136	4	.	.	X
cana-831	136	5	early	early	ADJ
cana-831	136	6	stage	stage	NOUN
cana-831	136	7	:	:	PUNCT
cana-831	136	8	inflammations	inflammation	NOUN
cana-831	136	9	or	or	CCONJ
cana-831	136	10	red	red	ADJ
cana-831	136	11	skin	skin	NOUN
cana-831	136	12	inflammations	inflammation	NOUN
cana-831	136	13	that	that	PRON
cana-831	136	14	are	be	AUX
cana-831	136	15	itchy	itchy	ADJ
cana-831	136	16	,	,	PUNCT
cana-831	136	17	scaly	scaly	NOUN
cana-831	136	18	,	,	PUNCT
cana-831	136	19	and	and	CCONJ
cana-831	136	20	pink	pink	ADJ
cana-831	136	21	or	or	CCONJ
cana-831	136	22	red	red	ADJ
cana-831	136	23	in	in	ADP
cana-831	136	24	some	some	DET
cana-831	136	25	cases	case	NOUN
cana-831	136	26	and	and	CCONJ
cana-831	136	27	can	can	AUX
cana-831	136	28	be	be	AUX
cana-831	136	29	confused	confuse	VERB
cana-831	136	30	with	with	ADP
cana-831	136	31	eczema	eczema	NOUN
cana-831	136	32	or	or	CCONJ
cana-831	136	33	psoriasis(12	psoriasis(12	NOUN
cana-831	136	34	)	)	PUNCT
cana-831	136	35	.	.	PUNCT
cana-831	137	1	there	there	PRON
cana-831	137	2	was	be	VERB
cana-831	137	3	an	an	DET
cana-831	137	4	itching	itching	NOUN
cana-831	137	5	and	and	CCONJ
cana-831	137	6	irritation	irritation	NOUN
cana-831	137	7	feeling	feel	VERB
cana-831	137	8	at	at	ADP
cana-831	137	9	the	the	DET
cana-831	137	10	sites	site	NOUN
cana-831	137	11	where	where	SCONJ
cana-831	137	12	the	the	DET
cana-831	137	13	infection	infection	NOUN
cana-831	137	14	had	have	AUX
cana-831	137	15	occurred	occur	VERB
cana-831	137	16	.	.	PUNCT
cana-831	138	1	(	(	PUNCT
cana-831	138	2	22	22	NUM
cana-831	138	3	)	)	PUNCT
cana-831	138	4	.	.	PUNCT
cana-831	139	1	2	2	X
cana-831	139	2	.	.	X
cana-831	139	3	advanced	advanced	ADJ
cana-831	139	4	stage(14	stage(14	NOUN
cana-831	139	5	):	):	PUNCT
cana-831	139	6	dermis	dermis	NOUN
cana-831	139	7	the	the	DET
cana-831	139	8	thick	thick	ADJ
cana-831	139	9	skin	skin	NOUN
cana-831	139	10	and	and	CCONJ
cana-831	139	11	the	the	DET
cana-831	139	12	prognosis	prognosis	NOUN
cana-831	139	13	of	of	ADP
cana-831	139	14	the	the	DET
cana-831	139	15	formation	formation	NOUN
cana-831	139	16	of	of	ADP
cana-831	139	17	tumors	tumor	NOUN
cana-831	139	18	.	.	PUNCT
cana-831	140	1	depression	depression	NOUN
cana-831	140	2	and	and	CCONJ
cana-831	140	3	malignant	malignant	ADJ
cana-831	140	4	,	,	PUNCT
cana-831	140	5	diseases	disease	NOUN
cana-831	140	6	that	that	PRON
cana-831	140	7	make	make	VERB
cana-831	140	8	one	one	PRON
cana-831	140	9	to	to	PART
cana-831	140	10	have	have	VERB
cana-831	140	11	sleepless	sleepless	ADJ
cana-831	140	12	night	night	NOUN
cana-831	140	13	;	;	PUNCT
cana-831	140	14	they	they	PRON
cana-831	140	15	are	be	AUX
cana-831	140	16	real	real	ADJ
cana-831	140	17	we	we	PRON
cana-831	140	18	were	be	AUX
cana-831	140	19	told	tell	VERB
cana-831	140	20	by	by	ADP
cana-831	140	21	managing	manage	VERB
cana-831	140	22	director	director	NOUN
cana-831	140	23	.	.	PUNCT
cana-831	141	1	most	most	ADV
cana-831	141	2	commonly	commonly	ADV
cana-831	141	3	,	,	PUNCT
cana-831	141	4	it	it	PRON
cana-831	141	5	affects	affect	VERB
cana-831	141	6	skin	skin	NOUN
cana-831	141	7	and	and	CCONJ
cana-831	141	8	mucous	mucous	ADJ
cana-831	141	9	membranes	membrane	NOUN
cana-831	141	10	,	,	PUNCT
cana-831	141	11	but	but	CCONJ
cana-831	141	12	it	it	PRON
cana-831	141	13	can	can	AUX
cana-831	141	14	get	get	VERB
cana-831	141	15	into	into	ADP
cana-831	141	16	bones	bone	NOUN
cana-831	141	17	,	,	PUNCT
cana-831	141	18	blood	blood	NOUN
cana-831	141	19	,	,	PUNCT
cana-831	141	20	lymph	lymph	NOUN
cana-831	141	21	nodes	node	NOUN
cana-831	141	22	and	and	CCONJ
cana-831	141	23	internal	internal	ADJ
cana-831	141	24	organs	organ	NOUN
cana-831	141	25	in	in	ADP
cana-831	141	26	severe	severe	ADJ
cana-831	141	27	cases	case	NOUN
cana-831	141	28	.	.	PUNCT
cana-831	142	1	diagnosis	diagnosis	NOUN
cana-831	142	2	:	:	PUNCT
cana-831	142	3	diagnosis	diagnosis	NOUN
cana-831	142	4	typically	typically	ADV
cana-831	142	5	involves	involve	VERB
cana-831	142	6	a	a	DET
cana-831	142	7	combination	combination	NOUN
cana-831	142	8	of	of	ADP
cana-831	142	9	:	:	PUNCT
cana-831	142	10	the	the	DET
cana-831	142	11	diagnostic	diagnostic	ADJ
cana-831	142	12	procedure	procedure	NOUN
cana-831	142	13	generally	generally	ADV
cana-831	142	14	entails	entail	VERB
cana-831	142	15	:	:	PUNCT
cana-831	142	16	skin	skin	NOUN
cana-831	142	17	biopsy	biopsy	NOUN
cana-831	142	18	:	:	PUNCT
cana-831	142	19	enumerated	enumerate	VERB
cana-831	142	20	as	as	SCONJ
cana-831	142	21	follows	follow	VERB
cana-831	142	22	is	be	AUX
cana-831	142	23	a	a	DET
cana-831	142	24	procedure	procedure	NOUN
cana-831	142	25	which	which	PRON
cana-831	142	26	involved	involve	VERB
cana-831	142	27	use	use	NOUN
cana-831	142	28	of	of	ADP
cana-831	142	29	the	the	DET
cana-831	142	30	microscope	microscope	NOUN
cana-831	142	31	to	to	PART
cana-831	142	32	direct	direct	VERB
cana-831	142	33	light	light	NOUN
cana-831	142	34	on	on	ADP
cana-831	142	35	the	the	DET
cana-831	142	36	skin	skin	NOUN
cana-831	142	37	tissue	tissue	NOUN
cana-831	142	38	in	in	ADP
cana-831	142	39	an	an	DET
cana-831	142	40	attempt	attempt	NOUN
cana-831	142	41	to	to	PART
cana-831	142	42	identify	identify	VERB
cana-831	142	43	the	the	DET
cana-831	142	44	invasive	invasive	ADJ
cana-831	142	45	cancerous	cancerous	ADJ
cana-831	142	46	t	t	NOUN
cana-831	142	47	-	-	PUNCT
cana-831	142	48	cells	cell	NOUN
cana-831	142	49	.	.	PUNCT
cana-831	143	1	blood	blood	NOUN
cana-831	143	2	tests	test	NOUN
cana-831	143	3	:	:	PUNCT
cana-831	143	4	at	at	ADP
cana-831	143	5	a	a	DET
cana-831	143	6	time	time	NOUN
cana-831	143	7	when	when	SCONJ
cana-831	143	8	you	you	PRON
cana-831	143	9	want	want	VERB
cana-831	143	10	to	to	PART
cana-831	143	11	know	know	VERB
cana-831	143	12	whether	whether	SCONJ
cana-831	143	13	it	it	PRON
cana-831	143	14	is	be	AUX
cana-831	143	15	present	present	ADJ
cana-831	143	16	or	or	CCONJ
cana-831	143	17	to	to	PART
cana-831	143	18	confirm	confirm	VERB
cana-831	143	19	that	that	SCONJ
cana-831	143	20	you	you	PRON
cana-831	143	21	are	be	AUX
cana-831	143	22	having	have	VERB
cana-831	143	23	any	any	DET
cana-831	143	24	infection	infection	NOUN
cana-831	143	25	which	which	PRON
cana-831	143	26	may	may	AUX
cana-831	143	27	not	not	PART
cana-831	143	28	be	be	AUX
cana-831	143	29	easily	easily	ADV
cana-831	143	30	noticeable	noticeable	ADJ
cana-831	143	31	.	.	PUNCT
cana-831	144	1	imaging	imaging	NOUN
cana-831	144	2	tests	test	NOUN
cana-831	144	3	:	:	PUNCT
cana-831	144	4	as	as	SCONJ
cana-831	144	5	in	in	ADP
cana-831	144	6	the	the	DET
cana-831	144	7	case	case	NOUN
cana-831	144	8	of	of	ADP
cana-831	144	9	ct	ct	NUM
cana-831	144	10	or	or	CCONJ
cana-831	144	11	pet	pet	NOUN
cana-831	144	12	scans	scan	NOUN
cana-831	144	13	to	to	PART
cana-831	144	14	determine	determine	VERB
cana-831	144	15	whether	whether	SCONJ
cana-831	144	16	cancer	cancer	NOUN
cana-831	144	17	has	have	AUX
cana-831	144	18	spread	spread	VERB
cana-831	144	19	to	to	ADP
cana-831	144	20	for	for	ADP
cana-831	144	21	instance	instance	NOUN
cana-831	144	22	lymph	lymph	NOUN
cana-831	144	23	nodes	nod	VERB
cana-831	144	24	.	.	PUNCT
cana-831	145	1	(	(	PUNCT
cana-831	145	2	15	15	NUM
cana-831	145	3	)	)	PUNCT
cana-831	145	4	treatment	treatment	NOUN
cana-831	145	5	approaches	approach	NOUN
cana-831	145	6	:	:	PUNCT
cana-831	145	7	1	1	X
cana-831	145	8	.	.	PUNCT
cana-831	145	9	topical	topical	ADJ
cana-831	145	10	treatments	treatment	NOUN
cana-831	145	11	:	:	PUNCT
cana-831	145	12	prescription	prescription	NOUN
cana-831	145	13	of	of	ADP
cana-831	145	14	glucocorticoids	glucocorticoid	NOUN
cana-831	145	15	to	to	PART
cana-831	145	16	reduce	reduce	VERB
cana-831	145	17	inflammation	inflammation	NOUN
cana-831	145	18	.	.	PUNCT
cana-831	146	1	where	where	SCONJ
cana-831	146	2	retinoids	retinoid	NOUN
cana-831	146	3	are	be	AUX
cana-831	146	4	used	use	VERB
cana-831	146	5	the	the	DET
cana-831	146	6	growth	growth	NOUN
cana-831	146	7	of	of	ADP
cana-831	146	8	cells	cell	NOUN
cana-831	146	9	is	be	AUX
cana-831	146	10	put	put	VERB
cana-831	146	11	under	under	ADP
cana-831	146	12	check	check	NOUN
cana-831	146	13	(	(	PUNCT
cana-831	146	14	16	16	NUM
cana-831	146	15	)	)	PUNCT
cana-831	146	16	.	.	PUNCT
cana-831	147	1	irradiation	irradiation	NOUN
cana-831	147	2	using	use	VERB
cana-831	147	3	ultraviolet	ultraviolet	ADJ
cana-831	147	4	light	light	NOUN
cana-831	147	5	as	as	ADP
cana-831	147	6	a	a	DET
cana-831	147	7	photocytotoxic	photocytotoxic	NOUN
cana-831	147	8	treatment	treatment	NOUN
cana-831	147	9	to	to	ADP
cana-831	147	10	the	the	DET
cana-831	147	11	affected	affected	ADJ
cana-831	147	12	cancer	cancer	NOUN
cana-831	147	13	cells	cell	NOUN
cana-831	147	14	.	.	PUNCT
cana-831	148	1	2	2	X
cana-831	148	2	.	.	X
cana-831	148	3	systemic	systemic	ADJ
cana-831	148	4	treatments	treatment	NOUN
cana-831	148	5	:	:	PUNCT
cana-831	148	6	systemic	systemic	ADJ
cana-831	148	7	therapy	therapy	NOUN
cana-831	148	8	can	can	AUX
cana-831	148	9	involve	involve	VERB
cana-831	148	10	an	an	DET
cana-831	148	11	oral	oral	ADJ
cana-831	148	12	medication	medication	NOUN
cana-831	148	13	,	,	PUNCT
cana-831	148	14	an	an	DET
cana-831	148	15	injected	inject	VERB
cana-831	148	16	medication	medication	NOUN
cana-831	148	17	like	like	ADP
cana-831	148	18	chemotherapy	chemotherapy	NOUN
cana-831	148	19	,	,	PUNCT
cana-831	148	20	or	or	CCONJ
cana-831	148	21	a	a	DET
cana-831	148	22	biologic	biologic	ADJ
cana-831	148	23	agent	agent	NOUN
cana-831	148	24	.	.	PUNCT
cana-831	149	1	immunotherapy	immunotherapy	NOUN
cana-831	149	2	in	in	ADP
cana-831	149	3	the	the	DET
cana-831	149	4	form	form	NOUN
cana-831	149	5	of	of	ADP
cana-831	149	6	using	use	VERB
cana-831	149	7	antibodies	antibody	NOUN
cana-831	149	8	or	or	CCONJ
cana-831	149	9	other	other	ADJ
cana-831	149	10	medications	medication	NOUN
cana-831	149	11	to	to	PART
cana-831	149	12	enhance	enhance	VERB
cana-831	149	13	the	the	DET
cana-831	149	14	body	body	NOUN
cana-831	149	15	’s	’s	PART
cana-831	149	16	ability	ability	NOUN
cana-831	149	17	to	to	PART
cana-831	149	18	fight	fight	VERB
cana-831	149	19	cancer	cancer	NOUN
cana-831	149	20	cells(17	cells(17	NOUN
cana-831	149	21	)	)	PUNCT
cana-831	149	22	.	.	PUNCT
cana-831	150	1	3	3	X
cana-831	150	2	.	.	X
cana-831	150	3	radiation	radiation	NOUN
cana-831	150	4	therapy	therapy	NOUN
cana-831	150	5	:	:	PUNCT
cana-831	150	6	cancerous	cancerous	ADJ
cana-831	150	7	cells	cell	NOUN
cana-831	150	8	localized	localize	VERB
cana-831	150	9	in	in	ADP
cana-831	150	10	the	the	DET
cana-831	150	11	skin	skin	NOUN
cana-831	150	12	are	be	AUX
cana-831	150	13	irradiated	irradiate	VERB
cana-831	150	14	in	in	ADP
cana-831	150	15	order	order	NOUN
cana-831	150	16	to	to	PART
cana-831	150	17	destroy	destroy	VERB
cana-831	150	18	them	they	PRON
cana-831	150	19	by	by	ADP
cana-831	150	20	specific	specific	ADJ
cana-831	150	21	radiation	radiation	NOUN
cana-831	150	22	.	.	PUNCT
cana-831	151	1	communications	communication	NOUN
cana-831	151	2	on	on	ADP
cana-831	151	3	applied	apply	VERB
cana-831	151	4	nonlinear	nonlinear	ADJ
cana-831	151	5	analysis	analysis	NOUN
cana-831	151	6	issn	issn	NOUN
cana-831	151	7	:	:	PUNCT
cana-831	151	8	1074	1074	NUM
cana-831	151	9	-	-	PUNCT
cana-831	151	10	133x	133x	NUM
cana-831	151	11	vol	vol	NOUN
cana-831	151	12	31	31	NUM
cana-831	151	13	no	no	NOUN
cana-831	151	14	.	.	PUNCT
cana-831	152	1	4s	4s	NUM
cana-831	152	2	(	(	PUNCT
cana-831	152	3	2024	2024	NUM
cana-831	152	4	)	)	PUNCT
cana-831	152	5	133	133	NUM
cana-831	152	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-831	152	7	4	4	X
cana-831	152	8	.	.	PUNCT
cana-831	152	9	stem	stem	NOUN
cana-831	152	10	cell	cell	NOUN
cana-831	152	11	transplant	transplant	NOUN
cana-831	152	12	:	:	PUNCT
cana-831	152	13	in	in	ADP
cana-831	152	14	severe	severe	ADJ
cana-831	152	15	scenarios	scenario	NOUN
cana-831	152	16	,	,	PUNCT
cana-831	152	17	additional	additional	ADJ
cana-831	152	18	treatments	treatment	NOUN
cana-831	152	19	that	that	PRON
cana-831	152	20	involve	involve	VERB
cana-831	152	21	stem	stem	NOUN
cana-831	152	22	cell	cell	NOUN
cana-831	152	23	transplantations	transplantation	NOUN
cana-831	152	24	could	could	AUX
cana-831	152	25	be	be	AUX
cana-831	152	26	utilized	utilize	VERB
cana-831	152	27	to	to	PART
cana-831	152	28	infuse	infuse	VERB
cana-831	152	29	healthy	healthy	ADJ
cana-831	152	30	cells	cell	NOUN
cana-831	152	31	into	into	ADP
cana-831	152	32	the	the	DET
cana-831	152	33	body	body	NOUN
cana-831	152	34	replacing	replace	VERB
cana-831	152	35	the	the	DET
cana-831	152	36	unhealthy	unhealthy	ADJ
cana-831	152	37	ones(18	ones(18	NOUN
cana-831	152	38	)	)	PUNCT
cana-831	152	39	.	.	PUNCT
cana-831	153	1	topic	topic	NOUN
cana-831	153	2	:	:	PUNCT
cana-831	153	3	these	these	DET
cana-831	153	4	prognostic	prognostic	ADJ
cana-831	153	5	factors	factor	NOUN
cana-831	153	6	include	include	VERB
cana-831	153	7	the	the	DET
cana-831	153	8	stage	stage	NOUN
cana-831	153	9	of	of	ADP
cana-831	153	10	mycosis	mycosis	NOUN
cana-831	153	11	fungoides	fungoide	NOUN
cana-831	153	12	as	as	ADV
cana-831	153	13	well	well	ADV
cana-831	153	14	as	as	ADP
cana-831	153	15	the	the	DET
cana-831	153	16	patient	patient	NOUN
cana-831	153	17	age	age	NOUN
cana-831	153	18	,	,	PUNCT
cana-831	153	19	disease	disease	NOUN
cana-831	153	20	subtype	subtype	NOUN
cana-831	153	21	,	,	PUNCT
cana-831	153	22	and	and	CCONJ
cana-831	153	23	response	response	NOUN
cana-831	153	24	to	to	ADP
cana-831	153	25	first	first	ADJ
cana-831	153	26	treatment	treatment	NOUN
cana-831	153	27	:	:	PUNCT
cana-831	153	28	living	live	VERB
cana-831	153	29	with	with	ADP
cana-831	153	30	mycosis	mycosis	NOUN
cana-831	153	31	fungoides	fungoide	NOUN
cana-831	153	32	prognosis	prognosis	VERB
cana-831	153	33	:	:	PUNCT
cana-831	153	34	the	the	DET
cana-831	153	35	life	life	NOUN
cana-831	153	36	expectancy	expectancy	NOUN
cana-831	153	37	of	of	ADP
cana-831	153	38	mycosis	mycosis	NOUN
cana-831	153	39	fungoides	fungoide	NOUN
cana-831	153	40	depends	depend	VERB
cana-831	153	41	on	on	ADP
cana-831	153	42	the	the	DET
cana-831	153	43	stage	stage	NOUN
cana-831	153	44	the	the	DET
cana-831	153	45	patient	patient	NOUN
cana-831	153	46	has	have	AUX
cana-831	153	47	reached	reach	VERB
cana-831	153	48	at	at	ADP
cana-831	153	49	the	the	DET
cana-831	153	50	time	time	NOUN
cana-831	153	51	of	of	ADP
cana-831	153	52	diagnosis	diagnosis	NOUN
cana-831	153	53	,	,	PUNCT
cana-831	153	54	and	and	CCONJ
cana-831	153	55	the	the	DET
cana-831	153	56	effectiveness	effectiveness	NOUN
cana-831	153	57	of	of	ADP
cana-831	153	58	the	the	DET
cana-831	153	59	therapy	therapy	NOUN
cana-831	153	60	.	.	PUNCT
cana-831	154	1	the	the	DET
cana-831	154	2	disease	disease	NOUN
cana-831	154	3	has	have	VERB
cana-831	154	4	an	an	DET
cana-831	154	5	indolent	indolent	ADJ
cana-831	154	6	presentation	presentation	NOUN
cana-831	154	7	in	in	ADP
cana-831	154	8	the	the	DET
cana-831	154	9	early	early	ADJ
cana-831	154	10	stages	stage	NOUN
cana-831	154	11	and	and	CCONJ
cana-831	154	12	can	can	AUX
cana-831	154	13	be	be	AUX
cana-831	154	14	controlled	control	VERB
cana-831	154	15	by	by	ADP
cana-831	154	16	the	the	DET
cana-831	154	17	administration	administration	NOUN
cana-831	154	18	of	of	ADP
cana-831	154	19	appropriate	appropriate	ADJ
cana-831	154	20	treatment	treatment	NOUN
cana-831	154	21	,	,	PUNCT
cana-831	154	22	and	and	CCONJ
cana-831	154	23	therefore	therefore	ADV
cana-831	154	24	a	a	DET
cana-831	154	25	significant	significant	ADJ
cana-831	154	26	number	number	NOUN
cana-831	154	27	of	of	ADP
cana-831	154	28	patients	patient	NOUN
cana-831	154	29	are	be	AUX
cana-831	154	30	able	able	ADJ
cana-831	154	31	to	to	PART
cana-831	154	32	lead	lead	VERB
cana-831	154	33	normal	normal	ADJ
cana-831	154	34	lives	life	NOUN
cana-831	154	35	.	.	PUNCT
cana-831	155	1	it	it	PRON
cana-831	155	2	may	may	AUX
cana-831	155	3	mean	mean	VERB
cana-831	155	4	a	a	DET
cana-831	155	5	more	more	ADV
cana-831	155	6	aggressive	aggressive	ADJ
cana-831	155	7	form	form	NOUN
cana-831	155	8	of	of	ADP
cana-831	155	9	treatment	treatment	NOUN
cana-831	155	10	in	in	ADP
cana-831	155	11	late	late	ADJ
cana-831	155	12	stage	stage	NOUN
cana-831	155	13	and	and	CCONJ
cana-831	155	14	carries	carry	VERB
cana-831	155	15	a	a	DET
cana-831	155	16	more	more	ADV
cana-831	155	17	unfavorable	unfavorable	ADJ
cana-831	155	18	outlook(19	outlook(19	NOUN
cana-831	155	19	)	)	PUNCT
cana-831	155	20	.	.	PUNCT
cana-831	156	1	living	live	VERB
cana-831	156	2	with	with	ADP
cana-831	156	3	mycosis	mycosis	NOUN
cana-831	156	4	fungoides	fungoide	NOUN
cana-831	156	5	:	:	PUNCT
cana-831	156	6	to	to	PART
cana-831	156	7	cope	cope	VERB
cana-831	156	8	with	with	ADP
cana-831	156	9	mycosis	mycosis	NOUN
cana-831	156	10	fungoides	fungoide	VERB
cana-831	156	11	a	a	DET
cana-831	156	12	patient	patient	NOUN
cana-831	156	13	needs	need	VERB
cana-831	156	14	to	to	PART
cana-831	156	15	be	be	AUX
cana-831	156	16	on	on	ADP
cana-831	156	17	close	close	ADJ
cana-831	156	18	follow	follow	NOUN
cana-831	156	19	-	-	PUNCT
cana-831	156	20	up	up	NOUN
cana-831	156	21	with	with	ADP
cana-831	156	22	his	his	PRON
cana-831	156	23	physician	physician	NOUN
cana-831	156	24	,	,	PUNCT
cana-831	156	25	take	take	VERB
cana-831	156	26	his	his	PRON
cana-831	156	27	treatment	treatment	NOUN
cana-831	156	28	regimen	regiman	NOUN
cana-831	156	29	seriously	seriously	ADV
cana-831	156	30	and	and	CCONJ
cana-831	156	31	be	be	AUX
cana-831	156	32	ready	ready	ADJ
cana-831	156	33	to	to	PART
cana-831	156	34	adopt	adopt	VERB
cana-831	156	35	various	various	ADJ
cana-831	156	36	changes	change	NOUN
cana-831	156	37	in	in	ADP
cana-831	156	38	lifestyle	lifestyle	NOUN
cana-831	156	39	to	to	PART
cana-831	156	40	deal	deal	VERB
cana-831	156	41	with	with	ADP
cana-831	156	42	mycosis	mycosis	NOUN
cana-831	156	43	fungoides	fungoide	NOUN
cana-831	156	44	symptoms	symptom	NOUN
cana-831	156	45	or	or	CCONJ
cana-831	156	46	side	side	NOUN
cana-831	156	47	-	-	PUNCT
cana-831	156	48	effects	effect	NOUN
cana-831	156	49	of	of	ADP
cana-831	156	50	undergoing	undergo	VERB
cana-831	156	51	treatment	treatment	NOUN
cana-831	156	52	.	.	PUNCT
cana-831	157	1	internet	internet	NOUN
cana-831	157	2	forums	forum	NOUN
cana-831	157	3	and	and	CCONJ
cana-831	157	4	counseling	counseling	NOUN
cana-831	157	5	may	may	AUX
cana-831	157	6	help	help	VERB
cana-831	157	7	for	for	ADP
cana-831	157	8	given	give	VERB
cana-831	157	9	feelings	feeling	NOUN
cana-831	157	10	and	and	CCONJ
cana-831	157	11	psychological	psychological	ADJ
cana-831	157	12	motives(20	motives(20	NOUN
cana-831	157	13	)	)	PUNCT
cana-831	157	14	.	.	PUNCT
cana-831	158	1	6	6	NUM
cana-831	158	2	conclusions	conclusion	NOUN
cana-831	158	3	in	in	ADP
cana-831	158	4	this	this	DET
cana-831	158	5	study	study	NOUN
cana-831	158	6	,	,	PUNCT
cana-831	158	7	we	we	PRON
cana-831	158	8	present	present	VERB
cana-831	158	9	a	a	DET
cana-831	158	10	method	method	NOUN
cana-831	158	11	for	for	ADP
cana-831	158	12	detecting	detect	VERB
cana-831	158	13	cancer	cancer	NOUN
cana-831	158	14	at	at	ADP
cana-831	158	15	different	different	ADJ
cana-831	158	16	stages	stage	NOUN
cana-831	158	17	through	through	ADP
cana-831	158	18	analysis	analysis	NOUN
cana-831	158	19	using	use	VERB
cana-831	158	20	a	a	DET
cana-831	158	21	fuzzy	fuzzy	ADJ
cana-831	158	22	orthogonal	orthogonal	ADJ
cana-831	158	23	transform	transform	NOUN
cana-831	158	24	.	.	PUNCT
cana-831	159	1	the	the	DET
cana-831	159	2	proposed	propose	VERB
cana-831	159	3	method	method	NOUN
cana-831	159	4	was	be	AUX
cana-831	159	5	successfully	successfully	ADV
cana-831	159	6	used	use	VERB
cana-831	159	7	to	to	PART
cana-831	159	8	accurately	accurately	ADV
cana-831	159	9	detect	detect	VERB
cana-831	159	10	the	the	DET
cana-831	159	11	disease	disease	NOUN
cana-831	159	12	and	and	CCONJ
cana-831	159	13	localize	localize	VERB
cana-831	159	14	the	the	DET
cana-831	159	15	spread	spread	NOUN
cana-831	159	16	of	of	ADP
cana-831	159	17	contaminated	contaminate	VERB
cana-831	159	18	pixels	pixel	NOUN
cana-831	159	19	to	to	ADP
cana-831	159	20	a	a	DET
cana-831	159	21	single	single	ADJ
cana-831	159	22	location	location	NOUN
cana-831	159	23	,	,	PUNCT
cana-831	159	24	which	which	PRON
cana-831	159	25	corresponds	correspond	VERB
cana-831	159	26	to	to	ADP
cana-831	159	27	a	a	DET
cana-831	159	28	region	region	NOUN
cana-831	159	29	of	of	ADP
cana-831	159	30	severe	severe	ADJ
cana-831	159	31	harm.specifically	harm.specifically	ADV
cana-831	159	32	,	,	PUNCT
cana-831	159	33	we	we	PRON
cana-831	159	34	employed	employ	VERB
cana-831	159	35	these	these	DET
cana-831	159	36	statistical	statistical	ADJ
cana-831	159	37	features	feature	NOUN
cana-831	159	38	:	:	PUNCT
cana-831	159	39	as	as	SCONJ
cana-831	159	40	lung	lung	NOUN
cana-831	159	41	cancer	cancer	NOUN
cana-831	159	42	progresses	progress	VERB
cana-831	159	43	,	,	PUNCT
cana-831	159	44	its	its	PRON
cana-831	159	45	entropy	entropy	NOUN
cana-831	159	46	,	,	PUNCT
cana-831	159	47	mean	mean	VERB
cana-831	159	48	,	,	PUNCT
cana-831	159	49	energy	energy	NOUN
cana-831	159	50	,	,	PUNCT
cana-831	159	51	and	and	CCONJ
cana-831	159	52	contrast	contrast	VERB
cana-831	159	53	all	all	DET
cana-831	159	54	rise	rise	NOUN
cana-831	159	55	.	.	PUNCT
cana-831	160	1	as	as	SCONJ
cana-831	160	2	the	the	DET
cana-831	160	3	progression	progression	NOUN
cana-831	160	4	of	of	ADP
cana-831	160	5	cancer	cancer	NOUN
cana-831	160	6	progresses	progress	NOUN
cana-831	160	7	,	,	PUNCT
cana-831	160	8	homogeneity	homogeneity	NOUN
cana-831	160	9	,	,	PUNCT
cana-831	160	10	median	median	NOUN
cana-831	160	11	,	,	PUNCT
cana-831	160	12	and	and	CCONJ
cana-831	160	13	correlation	correlation	NOUN
cana-831	160	14	are	be	AUX
cana-831	160	15	all	all	PRON
cana-831	160	16	minimized	minimize	VERB
cana-831	160	17	.	.	PUNCT
cana-831	161	1	references	reference	NOUN
cana-831	161	2	[	[	X
cana-831	161	3	1	1	NUM
cana-831	161	4	]	]	X
cana-831	161	5	selinuzelaltinbulat	selinuzelaltinbulat	NOUN
cana-831	161	6	,	,	PUNCT
cana-831	161	7	buseugur	buseugur	PROPN
cana-831	161	8	,	,	PUNCT
cana-831	161	9	"	"	PUNCT
cana-831	161	10	lung	lung	NOUN
cana-831	161	11	tumor	tumor	NOUN
cana-831	161	12	segmentation	segmentation	NOUN
cana-831	161	13	algorithm	algorithm	NOUN
cana-831	161	14	"	"	PUNCT
cana-831	161	15	,	,	PUNCT
cana-831	161	16	9th	9th	ADJ
cana-831	161	17	international	international	ADJ
cana-831	161	18	conference	conference	NOUN
cana-831	161	19	on	on	ADP
cana-831	161	20	theory	theory	NOUN
cana-831	161	21	and	and	CCONJ
cana-831	161	22	application	application	NOUN
cana-831	161	23	of	of	ADP
cana-831	161	24	soft	soft	ADJ
cana-831	161	25	computing	computing	NOUN
cana-831	161	26	,	,	PUNCT
cana-831	161	27	computing	compute	VERB
cana-831	161	28	with	with	ADP
cana-831	161	29	words	word	NOUN
cana-831	161	30	and	and	CCONJ
cana-831	161	31	perception	perception	NOUN
cana-831	161	32	,	,	PUNCT
cana-831	161	33	icsccw	icsccw	ADJ
cana-831	161	34	2017	2017	NUM
cana-831	161	35	,	,	PUNCT
cana-831	161	36	22	22	NUM
cana-831	161	37	-	-	SYM
cana-831	161	38	23	23	NUM
cana-831	161	39	august	august	PROPN
cana-831	161	40	2017	2017	NUM
cana-831	161	41	,	,	PUNCT
cana-831	161	42	budapest	budapest	NOUN
cana-831	161	43	,	,	PUNCT
cana-831	161	44	hungary	hungary	PROPN
cana-831	161	45	,	,	PUNCT
cana-831	161	46	procedia	procedia	NOUN
cana-831	161	47	computer	computer	NOUN
cana-831	161	48	science	science	NOUN
cana-831	161	49	,	,	PUNCT
cana-831	161	50	vol	vol	NOUN
cana-831	161	51	120	120	NUM
cana-831	161	52	,	,	PUNCT
cana-831	161	53	pp140–147	pp140–147	NOUN
cana-831	161	54	,	,	PUNCT
cana-831	161	55	(	(	PUNCT
cana-831	161	56	2017	2017	NUM
cana-831	161	57	)	)	PUNCT
cana-831	161	58	.	.	PUNCT
cana-831	162	1	[	[	X
cana-831	162	2	2	2	NUM
cana-831	162	3	]	]	PUNCT
cana-831	162	4	mitchell	mitchell	PROPN
cana-831	162	5	d.	d.	PROPN
cana-831	162	6	ross	ross	PROPN
cana-831	162	7	,	,	PUNCT
cana-831	162	8	sreejabiswas	sreejabiswas	PROPN
cana-831	162	9	roy	roy	PROPN
cana-831	162	10	,	,	PUNCT
cana-831	162	11	pradnya	pradnya	PROPN
cana-831	162	12	d.	d.	PROPN
cana-831	162	13	patil	patil	PROPN
cana-831	162	14	,	,	PUNCT
cana-831	162	15	jasmine	jasmine	PROPN
cana-831	162	16	l.	l.	PROPN
cana-831	162	17	huang	huang	PROPN
cana-831	162	18	,	,	PUNCT
cana-831	162	19	nitikathawani	nitikathawani	PROPN
cana-831	162	20	,	,	PUNCT
cana-831	162	21	ralph	ralph	PROPN
cana-831	162	22	drosten	drosten	PROPN
cana-831	162	23	,	,	PUNCT
cana-831	162	24	and	and	CCONJ
cana-831	162	25	tanmay	tanmay	PROPN
cana-831	162	26	s.	s.	PROPN
cana-831	162	27	panchabhai	panchabhai	PROPN
cana-831	162	28	,	,	PUNCT
cana-831	162	29	"	"	PUNCT
cana-831	162	30	coexistent	coexistent	ADJ
cana-831	162	31	non	non	ADJ
cana-831	162	32	–	–	ADJ
cana-831	162	33	small	small	ADJ
cana-831	162	34	cell	cell	NOUN
cana-831	162	35	carcinoma	carcinoma	NOUN
cana-831	162	36	and	and	CCONJ
cana-831	162	37	small	small	ADJ
cana-831	162	38	cell	cell	NOUN
cana-831	162	39	carcinoma	carcinoma	NOUN
cana-831	162	40	in	in	ADP
cana-831	162	41	a	a	DET
cana-831	162	42	patient	patient	NOUN
cana-831	162	43	presenting	presenting	NOUN
cana-831	162	44	with	with	ADP
cana-831	162	45	hyponatremia	hyponatremia	PROPN
cana-831	162	46	"	"	PUNCT
cana-831	162	47	,	,	PUNCT
cana-831	162	48	case	case	NOUN
cana-831	162	49	reports	report	VERB
cana-831	162	50	in	in	ADP
cana-831	162	51	pulmonology	pulmonology	NOUN
cana-831	162	52	,	,	PUNCT
cana-831	162	53	volume	volume	NOUN
cana-831	162	54	2018	2018	NUM
cana-831	162	55	,	,	PUNCT
cana-831	162	56	article	article	NOUN
cana-831	162	57	i	i	PROPN
cana-831	162	58	d	d	PROPN
cana-831	162	59	1718326	1718326	NUM
cana-831	162	60	,	,	PUNCT
cana-831	162	61	4	4	NUM
cana-831	162	62	pages	page	NOUN
cana-831	162	63	,	,	PUNCT
cana-831	162	64	hindawi,(2018	hindawi,(2018	NOUN
cana-831	162	65	)	)	PUNCT
cana-831	162	66	.	.	PUNCT
cana-831	163	1	[	[	X
cana-831	163	2	3	3	X
cana-831	163	3	]	]	X
cana-831	163	4	h.	h.	PROPN
cana-831	163	5	mahersia1	mahersia1	PROPN
cana-831	163	6	,	,	PUNCT
cana-831	163	7	m.	m.	NOUN
cana-831	163	8	zaroug	zaroug	PROPN
cana-831	163	9	,	,	PUNCT
cana-831	163	10	l.	l.	PROPN
cana-831	163	11	gabralla	gabralla	PROPN
cana-831	163	12	,	,	PUNCT
cana-831	163	13	"	"	PUNCT
cana-831	163	14	lung	lung	NOUN
cana-831	163	15	cancer	cancer	NOUN
cana-831	163	16	detection	detection	NOUN
cana-831	163	17	on	on	ADP
cana-831	163	18	ct	ct	NUM
cana-831	163	19	scan	scan	NOUN
cana-831	163	20	images	image	NOUN
cana-831	163	21	:	:	PUNCT
cana-831	163	22	a	a	DET
cana-831	163	23	review	review	NOUN
cana-831	163	24	on	on	ADP
cana-831	163	25	the	the	DET
cana-831	163	26	analysis	analysis	NOUN
cana-831	163	27	techniques	technique	NOUN
cana-831	163	28	"	"	PUNCT
cana-831	163	29	,	,	PUNCT
cana-831	163	30	international	international	ADJ
cana-831	163	31	journal	journal	NOUN
cana-831	163	32	of	of	ADP
cana-831	163	33	advanced	advanced	ADJ
cana-831	163	34	research	research	NOUN
cana-831	163	35	in	in	ADP
cana-831	163	36	artificial	artificial	ADJ
cana-831	163	37	intelligence(ijarai	intelligence(ijarai	PROPN
cana-831	163	38	)	)	PUNCT
cana-831	163	39	,	,	PUNCT
cana-831	163	40	vol	vol	NOUN
cana-831	163	41	.	.	PROPN
cana-831	163	42	4	4	NUM
cana-831	163	43	,	,	PUNCT
cana-831	163	44	no.4	no.4	PROPN
cana-831	163	45	,	,	PUNCT
cana-831	163	46	(	(	PUNCT
cana-831	163	47	2015	2015	NUM
cana-831	163	48	)	)	PUNCT
cana-831	163	49	.	.	PUNCT
cana-831	164	1	[	[	X
cana-831	164	2	4	4	NUM
cana-831	164	3	]	]	PUNCT
cana-831	164	4	shaymaa	shaymaa	NOUN
cana-831	164	5	maki	maki	PROPN
cana-831	164	6	kadham	kadham	PROPN
cana-831	164	7	and	and	CCONJ
cana-831	164	8	prossor	prossor	NOUN
cana-831	164	9	hind	hind	NOUN
cana-831	164	10	rustum	rustum	NOUN
cana-831	164	11	mohammed	mohammed	PROPN
cana-831	164	12	,	,	PUNCT
cana-831	164	13	"	"	PUNCT
cana-831	164	14	hybrid	hybrid	ADJ
cana-831	164	15	hermitien	hermitien	NOUN
cana-831	164	16	model	model	NOUN
cana-831	164	17	for	for	ADP
cana-831	164	18	skin	skin	NOUN
cana-831	164	19	burn	burn	NOUN
cana-831	164	20	images	image	NOUN
cana-831	164	21	segmentation	segmentation	NOUN
cana-831	164	22	"	"	PUNCT
cana-831	164	23	,	,	PUNCT
cana-831	164	24	international	international	ADJ
cana-831	164	25	journal	journal	NOUN
cana-831	164	26	of	of	ADP
cana-831	164	27	applied	apply	VERB
cana-831	164	28	engineering	engineering	NOUN
cana-831	164	29	research	research	NOUN
cana-831	164	30	issn	issn	PROPN
cana-831	164	31	0973	0973	NUM
cana-831	164	32	-	-	SYM
cana-831	164	33	4562	4562	NUM
cana-831	164	34	volume	volume	NOUN
cana-831	164	35	13	13	NUM
cana-831	164	36	,	,	PUNCT
cana-831	164	37	number	number	NOUN
cana-831	164	38	4	4	NUM
cana-831	164	39	,	,	PUNCT
cana-831	164	40	pp	pp	ADJ
cana-831	164	41	.	.	PUNCT
cana-831	165	1	2061	2061	NUM
cana-831	165	2	-	-	SYM
cana-831	165	3	2067	2067	NUM
cana-831	165	4	,	,	PUNCT
cana-831	165	5	(	(	PUNCT
cana-831	165	6	2018	2018	NUM
cana-831	165	7	)	)	PUNCT
cana-831	165	8	.	.	PUNCT
cana-831	166	1	[	[	X
cana-831	166	2	5	5	X
cana-831	166	3	]	]	PUNCT
cana-831	166	4	barkat	barkat	PROPN
cana-831	166	5	ali	ali	PROPN
cana-831	166	6	bhayo1	bhayo1	PROPN
cana-831	166	7	and	and	CCONJ
cana-831	166	8	j´ozsefs´andor	j´ozsefs´andor	NOUN
cana-831	166	9	,	,	PUNCT
cana-831	166	10	"	"	PUNCT
cana-831	166	11	on	on	ADP
cana-831	166	12	the	the	DET
cana-831	166	13	inequalities	inequality	NOUN
cana-831	166	14	for	for	ADP
cana-831	166	15	beta	beta	ADJ
cana-831	166	16	function	function	NOUN
cana-831	166	17	"	"	PUNCT
cana-831	166	18	,	,	PUNCT
cana-831	166	19	notes	note	NOUN
cana-831	166	20	on	on	ADP
cana-831	166	21	number	number	NOUN
cana-831	166	22	theory	theory	NOUN
cana-831	166	23	and	and	CCONJ
cana-831	166	24	discrete	discrete	ADJ
cana-831	166	25	mathematics	mathematic	NOUN
cana-831	166	26	,	,	PUNCT
cana-831	166	27	vol	vol	NOUN
cana-831	166	28	.	.	PROPN
cana-831	166	29	21	21	NUM
cana-831	166	30	,	,	PUNCT
cana-831	166	31	,	,	PUNCT
cana-831	166	32	no	no	INTJ
cana-831	166	33	.	.	NOUN
cana-831	166	34	2	2	NUM
cana-831	166	35	,	,	PUNCT
cana-831	166	36	pp.1–7	pp.1–7	PROPN
cana-831	166	37	,	,	PUNCT
cana-831	166	38	(	(	PUNCT
cana-831	166	39	2015	2015	NUM
cana-831	166	40	)	)	PUNCT
cana-831	166	41	.	.	PUNCT
cana-831	167	1	[	[	X
cana-831	167	2	6	6	NUM
cana-831	167	3	]	]	X
cana-831	167	4	rakesh	rakesh	PROPN
cana-831	167	5	k.	k.	PROPN
cana-831	167	6	parmar1	parmar1	PROPN
cana-831	167	7	and	and	CCONJ
cana-831	167	8	purnimachopra,"generalization	purnimachopra,"generalization	NOUN
cana-831	167	9	of	of	ADP
cana-831	167	10	incomplete	incomplete	ADJ
cana-831	167	11	extended	extend	VERB
cana-831	167	12	beta	beta	NOUN
cana-831	167	13	function	function	NOUN
cana-831	167	14	and	and	CCONJ
cana-831	167	15	beta	beta	PROPN
cana-831	167	16	distribution",international	distribution",international	ADJ
cana-831	167	17	journal	journal	NOUN
cana-831	167	18	of	of	ADP
cana-831	167	19	engineering	engineering	NOUN
cana-831	167	20	research	research	NOUN
cana-831	167	21	and	and	CCONJ
cana-831	167	22	development	development	NOUN
cana-831	167	23	,	,	PUNCT
cana-831	167	24	vol	vol	NOUN
cana-831	167	25	.	.	PROPN
cana-831	167	26	2	2	NUM
cana-831	167	27	,	,	PUNCT
cana-831	167	28	issue	issue	NOUN
cana-831	167	29	4	4	NUM
cana-831	167	30	,	,	PUNCT
cana-831	167	31	pp	pp	ADJ
cana-831	167	32	.	.	PUNCT
cana-831	168	1	58	58	NUM
cana-831	168	2	-	-	SYM
cana-831	168	3	62	62	NUM
cana-831	168	4	,	,	PUNCT
cana-831	168	5	(	(	PUNCT
cana-831	168	6	2012	2012	NUM
cana-831	168	7	)	)	PUNCT
cana-831	168	8	.	.	PUNCT
cana-831	169	1	[	[	X
cana-831	169	2	7	7	X
cana-831	169	3	]	]	X
cana-831	169	4	nina	nina	PROPN
cana-831	169	5	shang	shang	PROPN
cana-831	169	6	,	,	PUNCT
cana-831	169	7	aijuan	aijuan	PROPN
cana-831	169	8	li	li	PROPN
cana-831	169	9	,	,	PUNCT
cana-831	169	10	zhongfeng	zhongfeng	PROPN
cana-831	169	11	sun	sun	PROPN
cana-831	169	12	,	,	PUNCT
cana-831	169	13	and	and	CCONJ
cana-831	169	14	huizengqin,"a	huizengqin,"a	PROPN
cana-831	169	15	note	note	NOUN
cana-831	169	16	on	on	ADP
cana-831	169	17	the	the	DET
cana-831	169	18	beta	beta	NOUN
cana-831	169	19	function	function	NOUN
cana-831	169	20	and	and	CCONJ
cana-831	169	21	some	some	DET
cana-831	169	22	properties	property	NOUN
cana-831	169	23	of	of	ADP
cana-831	169	24	its	its	PRON
cana-831	169	25	partial	partial	ADJ
cana-831	169	26	derivatives	derivative	NOUN
cana-831	169	27	"	"	PUNCT
cana-831	169	28	,	,	PUNCT
cana-831	169	29	international	international	ADJ
cana-831	169	30	journal	journal	NOUN
cana-831	169	31	of	of	ADP
cana-831	169	32	applied	apply	VERB
cana-831	169	33	mathematics	mathematics	PROPN
cana-831	169	34	iaeng	iaeng	NOUN
cana-831	169	35	,	,	PUNCT
cana-831	169	36	(	(	PUNCT
cana-831	169	37	advance	advance	VERB
cana-831	169	38	online	online	ADJ
cana-831	169	39	publication	publication	NOUN
cana-831	169	40	:	:	PUNCT
cana-831	169	41	28	28	NUM
cana-831	169	42	november	november	PROPN
cana-831	169	43	,	,	PUNCT
cana-831	169	44	(	(	PUNCT
cana-831	169	45	2014	2014	NUM
cana-831	169	46	)	)	PUNCT
cana-831	169	47	.	.	PUNCT
cana-831	170	1	[	[	X
cana-831	170	2	8	8	NUM
cana-831	170	3	]	]	X
cana-831	170	4	kadham	kadham	PROPN
cana-831	170	5	,	,	PUNCT
cana-831	170	6	s.	s.	PROPN
cana-831	170	7	m.	m.	PROPN
cana-831	170	8	,	,	PUNCT
cana-831	170	9	mustafa	mustafa	PROPN
cana-831	170	10	,	,	PUNCT
cana-831	170	11	m.	m.	NOUN
cana-831	170	12	a.	a.	PROPN
cana-831	170	13	,	,	PUNCT
cana-831	170	14	abbass	abbass	PROPN
cana-831	170	15	,	,	PUNCT
cana-831	170	16	n.	n.	PROPN
cana-831	170	17	k.	k.	PROPN
cana-831	170	18	,	,	PUNCT
cana-831	170	19	&	&	CCONJ
cana-831	170	20	karupusamy	karupusamy	PROPN
cana-831	170	21	,	,	PUNCT
cana-831	170	22	s.	s.	PROPN
cana-831	170	23	(	(	PUNCT
cana-831	170	24	2024	2024	NUM
cana-831	170	25	)	)	PUNCT
cana-831	170	26	.	.	PUNCT
cana-831	171	1	iot	iot	PROPN
cana-831	171	2	and	and	CCONJ
cana-831	171	3	artificial	artificial	ADJ
cana-831	171	4	intelligence	intelligence	NOUN
cana-831	171	5	–	–	PUNCT
cana-831	171	6	based	base	VERB
cana-831	171	7	fuzzy	fuzzy	ADJ
cana-831	171	8	-	-	PUNCT
cana-831	171	9	integral	integral	ADJ
cana-831	171	10	n	n	CCONJ
cana-831	171	11	-	-	PUNCT
cana-831	171	12	transform	transform	NOUN
cana-831	171	13	for	for	ADP
cana-831	171	14	sustainable	sustainable	ADJ
cana-831	171	15	groundwater	groundwater	NOUN
cana-831	171	16	management	management	NOUN
cana-831	171	17	.	.	PUNCT
cana-831	172	1	applied	apply	VERB
cana-831	172	2	geomatics	geomatics	PROPN
cana-831	172	3	,	,	PUNCT
cana-831	172	4	16(1	16(1	NUM
cana-831	172	5	)	)	PUNCT
cana-831	172	6	,	,	PUNCT
cana-831	172	7	1	1	NUM
cana-831	172	8	-	-	SYM
cana-831	172	9	8	8	NUM
cana-831	172	10	.	.	PUNCT
cana-831	172	11	communications	communication	NOUN
cana-831	172	12	on	on	ADP
cana-831	172	13	applied	apply	VERB
cana-831	172	14	nonlinear	nonlinear	ADJ
cana-831	172	15	analysis	analysis	NOUN
cana-831	172	16	issn	issn	NOUN
cana-831	172	17	:	:	PUNCT
cana-831	172	18	1074	1074	NUM
cana-831	172	19	-	-	PUNCT
cana-831	172	20	133x	133x	NUM
cana-831	172	21	vol	vol	NOUN
cana-831	172	22	31	31	NUM
cana-831	172	23	no	no	NOUN
cana-831	172	24	.	.	PUNCT
cana-831	173	1	4s	4s	NUM
cana-831	173	2	(	(	PUNCT
cana-831	173	3	2024	2024	NUM
cana-831	173	4	)	)	PUNCT
cana-831	173	5	134	134	NUM
cana-831	173	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-831	174	1	[	[	X
cana-831	174	2	9	9	NUM
cana-831	174	3	]	]	SYM
cana-831	174	4	ali	ali	PROPN
cana-831	174	5	,	,	PUNCT
cana-831	174	6	s.	s.	PROPN
cana-831	174	7	h.	h.	PROPN
cana-831	174	8	,	,	PUNCT
cana-831	174	9	armeet	armeet	ADJ
cana-831	174	10	,	,	PUNCT
cana-831	174	11	h.	h.	PROPN
cana-831	174	12	s.	s.	PROPN
cana-831	174	13	,	,	PUNCT
cana-831	174	14	mustafa	mustafa	PROPN
cana-831	174	15	,	,	PUNCT
cana-831	174	16	m.	m.	NOUN
cana-831	174	17	a.	a.	PROPN
cana-831	174	18	,	,	PUNCT
cana-831	174	19	&	&	CCONJ
cana-831	174	20	ahmed	ahmed	PROPN
cana-831	174	21	,	,	PUNCT
cana-831	174	22	m.	m.	NOUN
cana-831	174	23	t.	t.	PROPN
cana-831	174	24	(	(	PUNCT
cana-831	174	25	2022	2022	NUM
cana-831	174	26	,	,	PUNCT
cana-831	174	27	november	november	PROPN
cana-831	174	28	)	)	PUNCT
cana-831	174	29	.	.	PUNCT
cana-831	175	1	complete	complete	ADJ
cana-831	175	2	blood	blood	NOUN
cana-831	175	3	count	count	NOUN
cana-831	175	4	for	for	ADP
cana-831	175	5	covid-19	covid-19	PROPN
cana-831	175	6	patients	patient	NOUN
cana-831	175	7	based	base	VERB
cana-831	175	8	on	on	ADP
cana-831	175	9	age	age	NOUN
cana-831	175	10	and	and	CCONJ
cana-831	175	11	gender	gender	NOUN
cana-831	175	12	.	.	PUNCT
cana-831	176	1	in	in	ADP
cana-831	176	2	aip	aip	PROPN
cana-831	176	3	conference	conference	NOUN
cana-831	176	4	proceedings	proceeding	NOUN
cana-831	176	5	(	(	PUNCT
cana-831	176	6	vol	vol	NOUN
cana-831	176	7	.	.	NOUN
cana-831	176	8	2394	2394	NUM
cana-831	176	9	,	,	PUNCT
cana-831	176	10	no	no	INTJ
cana-831	176	11	.	.	NOUN
cana-831	176	12	1	1	NUM
cana-831	176	13	)	)	PUNCT
cana-831	176	14	.	.	PUNCT
cana-831	177	1	aip	aip	PROPN
cana-831	177	2	publishing	publishing	PROPN
cana-831	177	3	.	.	PUNCT
cana-831	178	1	[	[	X
cana-831	178	2	10	10	NUM
cana-831	178	3	]	]	X
cana-831	178	4	shakir	shakir	X
cana-831	178	5	,	,	PUNCT
cana-831	178	6	o.	o.	PROPN
cana-831	178	7	m.	m.	NOUN
cana-831	178	8	,	,	PUNCT
cana-831	178	9	abdulla	abdulla	PROPN
cana-831	178	10	,	,	PUNCT
cana-831	178	11	k.	k.	PROPN
cana-831	178	12	k.	k.	PROPN
cana-831	178	13	,	,	PUNCT
cana-831	178	14	mustafa	mustafa	PROPN
cana-831	178	15	,	,	PUNCT
cana-831	178	16	a.	a.	NOUN
cana-831	178	17	a.	a.	PROPN
cana-831	178	18	,	,	PUNCT
cana-831	178	19	&	&	CCONJ
cana-831	178	20	mustafa	mustafa	PROPN
cana-831	178	21	,	,	PUNCT
cana-831	178	22	m.	m.	NOUN
cana-831	178	23	a.	a.	NOUN
cana-831	178	24	(	(	PUNCT
cana-831	178	25	2019	2019	NUM
cana-831	178	26	)	)	PUNCT
cana-831	178	27	.	.	PUNCT
cana-831	179	1	investigation	investigation	NOUN
cana-831	179	2	of	of	ADP
cana-831	179	3	the	the	DET
cana-831	179	4	presence	presence	NOUN
cana-831	179	5	of	of	ADP
cana-831	179	6	parasites	parasite	NOUN
cana-831	179	7	that	that	PRON
cana-831	179	8	contaminate	contaminate	VERB
cana-831	179	9	some	some	DET
cana-831	179	10	fruits	fruit	NOUN
cana-831	179	11	and	and	CCONJ
cana-831	179	12	vegetables	vegetable	NOUN
cana-831	179	13	in	in	ADP
cana-831	179	14	the	the	DET
cana-831	179	15	samarra	samarra	ADJ
cana-831	179	16	city	city	NOUN
cana-831	179	17	in	in	ADP
cana-831	179	18	iraq	iraq	PROPN
cana-831	179	19	.	.	PUNCT
cana-831	180	1	plant	plant	NOUN
cana-831	180	2	arch	arch	NOUN
cana-831	180	3	,	,	PUNCT
cana-831	180	4	19	19	NUM
cana-831	180	5	,	,	PUNCT
cana-831	180	6	1184	1184	NUM
cana-831	180	7	-	-	SYM
cana-831	180	8	1190	1190	NUM
cana-831	180	9	.	.	PUNCT
cana-831	181	1	[	[	X
cana-831	181	2	11	11	NUM
cana-831	181	3	]	]	SYM
cana-831	181	4	abdulqader	abdulqader	NOUN
cana-831	181	5	,	,	PUNCT
cana-831	181	6	a.	a.	NOUN
cana-831	181	7	t.	t.	PROPN
cana-831	181	8	,	,	PUNCT
cana-831	181	9	al	al	PROPN
cana-831	181	10	-	-	PUNCT
cana-831	181	11	sammarie	sammarie	PROPN
cana-831	181	12	,	,	PUNCT
cana-831	181	13	a.	a.	NOUN
cana-831	181	14	m.	m.	PROPN
cana-831	181	15	y.	y.	PROPN
cana-831	181	16	,	,	PUNCT
cana-831	181	17	&	&	CCONJ
cana-831	181	18	mustafa	mustafa	PROPN
cana-831	181	19	,	,	PUNCT
cana-831	181	20	m.	m.	NOUN
cana-831	181	21	a.	a.	NOUN
cana-831	181	22	(	(	PUNCT
cana-831	181	23	2022	2022	NUM
cana-831	181	24	,	,	PUNCT
cana-831	181	25	may	may	PROPN
cana-831	181	26	)	)	PUNCT
cana-831	181	27	.	.	PUNCT
cana-831	182	1	a	a	DET
cana-831	182	2	comparative	comparative	ADJ
cana-831	182	3	environmental	environmental	ADJ
cana-831	182	4	study	study	NOUN
cana-831	182	5	of	of	ADP
cana-831	182	6	aqueous	aqueous	ADJ
cana-831	182	7	extracts	extract	NOUN
cana-831	182	8	of	of	ADP
cana-831	182	9	ginger	ginger	NOUN
cana-831	182	10	and	and	CCONJ
cana-831	182	11	grapes	grape	NOUN
cana-831	182	12	to	to	PART
cana-831	182	13	protect	protect	VERB
cana-831	182	14	hepatocytes	hepatocyte	NOUN
cana-831	182	15	in	in	ADP
cana-831	182	16	albino	albino	NOUN
cana-831	182	17	rabbits	rabbit	NOUN
cana-831	182	18	and	and	CCONJ
cana-831	182	19	a	a	DET
cana-831	182	20	comparison	comparison	NOUN
cana-831	182	21	of	of	ADP
cana-831	182	22	extracts	extract	NOUN
cana-831	182	23	in	in	ADP
cana-831	182	24	preserving	preserve	VERB
cana-831	182	25	awassi	awassi	ADJ
cana-831	182	26	lamb	lamb	NOUN
cana-831	182	27	meat	meat	NOUN
cana-831	182	28	from	from	ADP
cana-831	182	29	oxidation	oxidation	NOUN
cana-831	182	30	.	.	PUNCT
cana-831	183	1	in	in	ADP
cana-831	183	2	iop	iop	PROPN
cana-831	183	3	conference	conference	NOUN
cana-831	183	4	series	series	NOUN
cana-831	183	5	:	:	PUNCT
cana-831	183	6	earth	earth	NOUN
cana-831	183	7	and	and	CCONJ
cana-831	183	8	environmental	environmental	ADJ
cana-831	183	9	science	science	NOUN
cana-831	183	10	(	(	PUNCT
cana-831	183	11	vol	vol	NOUN
cana-831	183	12	.	.	PUNCT
cana-831	183	13	1029	1029	NUM
cana-831	183	14	,	,	PUNCT
cana-831	183	15	no	no	INTJ
cana-831	183	16	.	.	NOUN
cana-831	183	17	1	1	NUM
cana-831	183	18	,	,	PUNCT
cana-831	183	19	p.	p.	NOUN
cana-831	183	20	012001	012001	NUM
cana-831	183	21	)	)	PUNCT
cana-831	183	22	.	.	PUNCT
cana-831	184	1	iop	iop	NOUN
cana-831	184	2	publishing	publishing	NOUN
cana-831	184	3	.	.	PUNCT
cana-831	185	1	[	[	X
cana-831	185	2	12	12	NUM
cana-831	185	3	]	]	X
cana-831	185	4	kadham	kadham	PROPN
cana-831	185	5	,	,	PUNCT
cana-831	185	6	s.	s.	PROPN
cana-831	185	7	m.	m.	PROPN
cana-831	185	8	,	,	PUNCT
cana-831	185	9	mustafa	mustafa	PROPN
cana-831	185	10	,	,	PUNCT
cana-831	185	11	m.	m.	NOUN
cana-831	185	12	a.	a.	PROPN
cana-831	185	13	,	,	PUNCT
cana-831	185	14	abbass	abbass	PROPN
cana-831	185	15	,	,	PUNCT
cana-831	185	16	n.	n.	PROPN
cana-831	185	17	k.	k.	PROPN
cana-831	185	18	,	,	PUNCT
cana-831	185	19	&	&	CCONJ
cana-831	185	20	karupusamy	karupusamy	PROPN
cana-831	185	21	,	,	PUNCT
cana-831	185	22	s.	s.	PROPN
cana-831	185	23	(	(	PUNCT
cana-831	185	24	2023	2023	NUM
cana-831	185	25	)	)	PUNCT
cana-831	185	26	.	.	PUNCT
cana-831	186	1	comparison	comparison	NOUN
cana-831	186	2	between	between	ADP
cana-831	186	3	of	of	ADP
cana-831	186	4	fuzzy	fuzzy	ADJ
cana-831	186	5	partial	partial	ADJ
cana-831	186	6	h	h	NOUN
cana-831	186	7	-	-	PUNCT
cana-831	186	8	transform	transform	VERB
cana-831	186	9	and	and	CCONJ
cana-831	186	10	fuzzy	fuzzy	ADJ
cana-831	186	11	partial	partial	ADJ
cana-831	186	12	laplace	laplace	NOUN
cana-831	186	13	transform	transform	NOUN
cana-831	186	14	in	in	ADP
cana-831	186	15	x	x	ADJ
cana-831	186	16	-	-	NOUN
cana-831	186	17	ray	ray	NOUN
cana-831	186	18	images	image	NOUN
cana-831	186	19	processing	processing	NOUN
cana-831	186	20	of	of	ADP
cana-831	186	21	acute	acute	ADJ
cana-831	186	22	interstitial	interstitial	ADJ
cana-831	186	23	pneumonia	pneumonia	NOUN
cana-831	186	24	.	.	PUNCT
cana-831	187	1	international	international	ADJ
cana-831	187	2	journal	journal	PROPN
cana-831	187	3	of	of	ADP
cana-831	187	4	system	system	NOUN
cana-831	187	5	assurance	assurance	NOUN
cana-831	187	6	engineering	engineering	NOUN
cana-831	187	7	and	and	CCONJ
cana-831	187	8	management	management	NOUN
cana-831	187	9	,	,	PUNCT
cana-831	187	10	1	1	NUM
cana-831	187	11	-	-	SYM
cana-831	187	12	9	9	NUM
cana-831	187	13	.	.	PUNCT
cana-831	188	1	[	[	X
cana-831	188	2	13	13	NUM
cana-831	188	3	]	]	X
cana-831	188	4	meri	meri	PROPN
cana-831	188	5	,	,	PUNCT
cana-831	188	6	m.	m.	NOUN
cana-831	188	7	a.	a.	PROPN
cana-831	188	8	,	,	PUNCT
cana-831	188	9	ibrahim	ibrahim	PROPN
cana-831	188	10	,	,	PUNCT
cana-831	188	11	m.	m.	PROPN
cana-831	188	12	d.	d.	PROPN
cana-831	188	13	,	,	PUNCT
cana-831	188	14	al	al	PROPN
cana-831	188	15	-	-	PUNCT
cana-831	188	16	hakeem	hakeem	PROPN
cana-831	188	17	,	,	PUNCT
cana-831	188	18	a.	a.	PROPN
cana-831	188	19	h.	h.	PROPN
cana-831	188	20	,	,	PUNCT
cana-831	188	21	&	&	CCONJ
cana-831	188	22	mustafa	mustafa	PROPN
cana-831	188	23	,	,	PUNCT
cana-831	188	24	m.	m.	NOUN
cana-831	188	25	a.	a.	NOUN
cana-831	188	26	(	(	PUNCT
cana-831	188	27	2023	2023	NUM
cana-831	188	28	)	)	PUNCT
cana-831	188	29	.	.	PUNCT
cana-831	189	1	procalcitonin	procalcitonin	VERB
cana-831	189	2	and	and	CCONJ
cana-831	189	3	nlr	nlr	PROPN
cana-831	189	4	measurements	measurement	NOUN
cana-831	189	5	in	in	ADP
cana-831	189	6	covid-19	covid-19	PROPN
cana-831	189	7	patients	patient	NOUN
cana-831	189	8	.	.	PUNCT
cana-831	190	1	latin	latin	PROPN
cana-831	190	2	american	american	PROPN
cana-831	190	3	journal	journal	PROPN
cana-831	190	4	of	of	ADP
cana-831	190	5	pharmacy	pharmacy	NOUN
cana-831	190	6	,	,	PUNCT
cana-831	190	7	220	220	NUM
cana-831	190	8	-	-	SYM
cana-831	190	9	223	223	NUM
cana-831	190	10	.	.	PUNCT
cana-831	191	1	[	[	X
cana-831	191	2	14	14	NUM
cana-831	191	3	]	]	X
cana-831	191	4	mustafa	mustafa	PROPN
cana-831	191	5	,	,	PUNCT
cana-831	191	6	m.	m.	NOUN
cana-831	191	7	a.	a.	PROPN
cana-831	191	8	,	,	PUNCT
cana-831	191	9	raja	raja	PROPN
cana-831	191	10	,	,	PUNCT
cana-831	191	11	s.	s.	PROPN
cana-831	191	12	,	,	PUNCT
cana-831	191	13	asadi	asadi	PROPN
cana-831	191	14	,	,	PUNCT
cana-831	191	15	l.	l.	PROPN
cana-831	191	16	a.	a.	PROPN
cana-831	191	17	a.	a.	PROPN
cana-831	191	18	,	,	PUNCT
cana-831	191	19	jamadon	jamadon	PROPN
cana-831	191	20	,	,	PUNCT
cana-831	191	21	n.	n.	PROPN
cana-831	191	22	h.	h.	PROPN
cana-831	191	23	,	,	PUNCT
cana-831	191	24	rajeswari	rajeswari	NOUN
cana-831	191	25	,	,	PUNCT
cana-831	191	26	n.	n.	NOUN
cana-831	191	27	,	,	PUNCT
cana-831	191	28	&	&	CCONJ
cana-831	191	29	kumar	kumar	PROPN
cana-831	191	30	,	,	PUNCT
cana-831	191	31	a.	a.	NOUN
cana-831	191	32	p.	p.	NOUN
cana-831	191	33	(	(	PUNCT
cana-831	191	34	2023	2023	NUM
cana-831	191	35	)	)	PUNCT
cana-831	191	36	.	.	PUNCT
cana-831	192	1	a	a	DET
cana-831	192	2	decision‐	decision‐	NOUN
cana-831	192	3	making	make	VERB
cana-831	192	4	carbon	carbon	NOUN
cana-831	192	5	reinforced	reinforce	VERB
cana-831	192	6	material	material	NOUN
cana-831	192	7	selection	selection	NOUN
cana-831	192	8	model	model	NOUN
cana-831	192	9	for	for	ADP
cana-831	192	10	composite	composite	ADJ
cana-831	192	11	polymers	polymer	NOUN
cana-831	192	12	in	in	ADP
cana-831	192	13	pipeline	pipeline	NOUN
cana-831	192	14	applications	application	NOUN
cana-831	192	15	.	.	PUNCT
cana-831	193	1	advances	advance	NOUN
cana-831	193	2	in	in	ADP
cana-831	193	3	polymer	polymer	NOUN
cana-831	193	4	technology	technology	NOUN
cana-831	193	5	,	,	PUNCT
cana-831	193	6	2023(1	2023(1	PROPN
cana-831	193	7	)	)	PUNCT
cana-831	193	8	,	,	PUNCT
cana-831	193	9	6344193	6344193	NUM
cana-831	193	10	.	.	PUNCT
cana-831	194	1	[	[	X
cana-831	194	2	15	15	NUM
cana-831	194	3	]	]	X
cana-831	194	4	valluru	valluru	NOUN
cana-831	194	5	,	,	PUNCT
cana-831	194	6	d.	d.	PROPN
cana-831	194	7	,	,	PUNCT
cana-831	194	8	mustafa	mustafa	PROPN
cana-831	194	9	,	,	PUNCT
cana-831	194	10	m.	m.	NOUN
cana-831	194	11	a.	a.	PROPN
cana-831	194	12	,	,	PUNCT
cana-831	194	13	jasim	jasim	NOUN
cana-831	194	14	,	,	PUNCT
cana-831	194	15	h.	h.	PROPN
cana-831	194	16	y.	y.	PROPN
cana-831	194	17	,	,	PUNCT
cana-831	194	18	srikanth	srikanth	PROPN
cana-831	194	19	,	,	PUNCT
cana-831	194	20	k.	k.	PROPN
cana-831	194	21	,	,	PUNCT
cana-831	194	22	rajarao	rajarao	PROPN
cana-831	194	23	,	,	PUNCT
cana-831	194	24	m.	m.	NOUN
cana-831	194	25	v.	v.	ADP
cana-831	194	26	l.	l.	PROPN
cana-831	194	27	n.	n.	PROPN
cana-831	194	28	,	,	PUNCT
cana-831	194	29	&	&	CCONJ
cana-831	194	30	sreedhar	sreedhar	PROPN
cana-831	194	31	,	,	PUNCT
cana-831	194	32	p.	p.	PROPN
cana-831	194	33	s.	s.	PROPN
cana-831	194	34	s.	s.	PROPN
cana-831	194	35	(	(	PUNCT
cana-831	194	36	2023	2023	NUM
cana-831	194	37	,	,	PUNCT
cana-831	194	38	march	march	PROPN
cana-831	194	39	)	)	PUNCT
cana-831	194	40	.	.	PUNCT
cana-831	195	1	an	an	DET
cana-831	195	2	efficient	efficient	ADJ
cana-831	195	3	class	class	NOUN
cana-831	195	4	room	room	NOUN
cana-831	195	5	teaching	teaching	NOUN
cana-831	195	6	learning	learning	NOUN
cana-831	195	7	method	method	NOUN
cana-831	195	8	using	use	VERB
cana-831	195	9	augmented	augment	VERB
cana-831	195	10	reality	reality	NOUN
cana-831	195	11	.	.	PUNCT
cana-831	196	1	in	in	ADP
cana-831	196	2	2023	2023	NUM
cana-831	196	3	9th	9th	ADJ
cana-831	196	4	international	international	ADJ
cana-831	196	5	conference	conference	NOUN
cana-831	196	6	on	on	ADP
cana-831	196	7	advanced	advanced	ADJ
cana-831	196	8	computing	computing	NOUN
cana-831	196	9	and	and	CCONJ
cana-831	196	10	communication	communication	NOUN
cana-831	196	11	systems	system	NOUN
cana-831	196	12	(	(	PUNCT
cana-831	196	13	icaccs	icaccs	NOUN
cana-831	196	14	)	)	PUNCT
cana-831	196	15	(	(	PUNCT
cana-831	196	16	vol	vol	NOUN
cana-831	196	17	.	.	NOUN
cana-831	196	18	1	1	NUM
cana-831	196	19	,	,	PUNCT
cana-831	196	20	pp	pp	ADJ
cana-831	196	21	.	.	PUNCT
cana-831	196	22	300	300	NUM
cana-831	196	23	-	-	NUM
cana-831	196	24	303	303	NUM
cana-831	196	25	)	)	PUNCT
cana-831	196	26	.	.	PUNCT
cana-831	197	1	ieee	ieee	PROPN
cana-831	197	2	.	.	PUNCT
cana-831	198	1	[	[	X
cana-831	198	2	16	16	NUM
cana-831	198	3	]	]	X
cana-831	198	4	mustafa	mustafa	PROPN
cana-831	198	5	,	,	PUNCT
cana-831	198	6	m.	m.	NOUN
cana-831	198	7	a.	a.	PROPN
cana-831	198	8	,	,	PUNCT
cana-831	198	9	kadham	kadham	PROPN
cana-831	198	10	,	,	PUNCT
cana-831	198	11	s.	s.	PROPN
cana-831	198	12	m.	m.	PROPN
cana-831	198	13	,	,	PUNCT
cana-831	198	14	abbass	abbass	PROPN
cana-831	198	15	,	,	PUNCT
cana-831	198	16	n.	n.	PROPN
cana-831	198	17	k.	k.	PROPN
cana-831	198	18	,	,	PUNCT
cana-831	198	19	karupusamy	karupusamy	PROPN
cana-831	198	20	,	,	PUNCT
cana-831	198	21	s.	s.	PROPN
cana-831	198	22	,	,	PUNCT
cana-831	198	23	jasim	jasim	PROPN
cana-831	198	24	,	,	PUNCT
cana-831	198	25	h.	h.	PROPN
cana-831	198	26	y.	y.	PROPN
cana-831	198	27	,	,	PUNCT
cana-831	198	28	alreda	alreda	PROPN
cana-831	198	29	,	,	PUNCT
cana-831	198	30	b.	b.	PROPN
cana-831	198	31	a.	a.	PROPN
cana-831	198	32	,	,	PUNCT
cana-831	198	33	...	...	PUNCT
cana-831	198	34	&	&	CCONJ
cana-831	198	35	ahmed	ahmed	PROPN
cana-831	198	36	,	,	PUNCT
cana-831	198	37	m.	m.	NOUN
cana-831	198	38	t.	t.	PROPN
cana-831	198	39	(	(	PUNCT
cana-831	198	40	2024	2024	NUM
cana-831	198	41	)	)	PUNCT
cana-831	198	42	.	.	PUNCT
cana-831	199	1	a	a	DET
cana-831	199	2	novel	novel	ADJ
cana-831	199	3	fuzzy	fuzzy	ADJ
cana-831	199	4	m	m	NOUN
cana-831	199	5	-	-	PUNCT
cana-831	199	6	transform	transform	NOUN
cana-831	199	7	technique	technique	NOUN
cana-831	199	8	for	for	ADP
cana-831	199	9	sustainable	sustainable	ADJ
cana-831	199	10	ground	ground	NOUN
cana-831	199	11	water	water	NOUN
cana-831	199	12	level	level	NOUN
cana-831	199	13	prediction	prediction	NOUN
cana-831	199	14	.	.	PUNCT
cana-831	200	1	applied	apply	VERB
cana-831	200	2	geomatics	geomatics	PROPN
cana-831	200	3	,	,	PUNCT
cana-831	200	4	16(1	16(1	NUM
cana-831	200	5	)	)	PUNCT
cana-831	200	6	,	,	PUNCT
cana-831	200	7	9	9	NUM
cana-831	200	8	-	-	SYM
cana-831	200	9	15	15	NUM
cana-831	200	10	.	.	PUNCT
cana-831	201	1	[	[	X
cana-831	201	2	17	17	NUM
cana-831	201	3	]	]	X
cana-831	201	4	hsu	hsu	PROPN
cana-831	201	5	,	,	PUNCT
cana-831	201	6	c.	c.	PROPN
cana-831	201	7	y.	y.	PROPN
cana-831	201	8	,	,	PUNCT
cana-831	201	9	mustafa	mustafa	PROPN
cana-831	201	10	,	,	PUNCT
cana-831	201	11	m.	m.	NOUN
cana-831	201	12	a.	a.	PROPN
cana-831	201	13	,	,	PUNCT
cana-831	201	14	yadav	yadav	PROPN
cana-831	201	15	,	,	PUNCT
cana-831	201	16	a.	a.	NOUN
cana-831	201	17	,	,	PUNCT
cana-831	201	18	batoo	batoo	NOUN
cana-831	201	19	,	,	PUNCT
cana-831	201	20	k.	k.	PROPN
cana-831	201	21	m.	m.	PROPN
cana-831	201	22	,	,	PUNCT
cana-831	201	23	kaur	kaur	PROPN
cana-831	201	24	,	,	PUNCT
cana-831	201	25	m.	m.	NOUN
cana-831	201	26	,	,	PUNCT
cana-831	201	27	hussain	hussain	PROPN
cana-831	201	28	,	,	PUNCT
cana-831	201	29	s.	s.	PROPN
cana-831	201	30	,	,	PUNCT
cana-831	201	31	...	...	PUNCT
cana-831	201	32	&	&	CCONJ
cana-831	201	33	nai	nai	PROPN
cana-831	201	34	,	,	PUNCT
cana-831	201	35	l.	l.	PROPN
cana-831	201	36	(	(	PUNCT
cana-831	201	37	2024	2024	NUM
cana-831	201	38	)	)	PUNCT
cana-831	201	39	.	.	PUNCT
cana-831	202	1	n2	n2	ADJ
cana-831	202	2	reduction	reduction	NOUN
cana-831	202	3	to	to	ADP
cana-831	202	4	nh3	nh3	NOUN
cana-831	202	5	on	on	ADP
cana-831	202	6	surfaces	surface	NOUN
cana-831	202	7	of	of	ADP
cana-831	202	8	co	co	NOUN
cana-831	202	9	-	-	ADJ
cana-831	202	10	al18p18	al18p18	PROPN
cana-831	202	11	,	,	PUNCT
cana-831	202	12	ni	ni	PROPN
cana-831	202	13	-	-	PUNCT
cana-831	202	14	al21n21	al21n21	PROPN
cana-831	202	15	,	,	PUNCT
cana-831	202	16	fe	fe	PROPN
cana-831	202	17	-	-	NOUN
cana-831	202	18	b24n24	b24n24	PROPN
cana-831	202	19	,	,	PUNCT
cana-831	202	20	mn	mn	PROPN
cana-831	202	21	-	-	PUNCT
cana-831	202	22	b27p27	b27p27	ADJ
cana-831	202	23	,	,	PUNCT
cana-831	202	24	ti	ti	NOUN
cana-831	202	25	-	-	NOUN
cana-831	202	26	c60	c60	NOUN
cana-831	202	27	and	and	CCONJ
cana-831	202	28	cu	cu	PROPN
cana-831	202	29	-	-	PUNCT
cana-831	202	30	si72	si72	ADJ
cana-831	202	31	catalysts	catalyst	NOUN
cana-831	202	32	.	.	PUNCT
cana-831	203	1	journal	journal	NOUN
cana-831	203	2	of	of	ADP
cana-831	203	3	molecular	molecular	ADJ
cana-831	203	4	modeling	modeling	NOUN
cana-831	203	5	,	,	PUNCT
cana-831	203	6	30(3	30(3	NUM
cana-831	203	7	)	)	PUNCT
cana-831	203	8	,	,	PUNCT
cana-831	203	9	1	1	NUM
cana-831	203	10	-	-	SYM
cana-831	203	11	11	11	NUM
cana-831	203	12	.	.	PUNCT
cana-831	204	1	[	[	X
cana-831	204	2	18	18	NUM
cana-831	204	3	]	]	SYM
cana-831	204	4	yaseen	yaseen	PROPN
cana-831	204	5	,	,	PUNCT
cana-831	204	6	a.	a.	PROPN
cana-831	204	7	h.	h.	PROPN
cana-831	204	8	,	,	PUNCT
cana-831	204	9	khalaf	khalaf	PROPN
cana-831	204	10	,	,	PUNCT
cana-831	204	11	a.	a.	NOUN
cana-831	204	12	t.	t.	PROPN
cana-831	204	13	,	,	PUNCT
cana-831	204	14	&	&	CCONJ
cana-831	204	15	mustafa	mustafa	PROPN
cana-831	204	16	,	,	PUNCT
cana-831	204	17	m.	m.	NOUN
cana-831	204	18	a.	a.	NOUN
cana-831	204	19	(	(	PUNCT
cana-831	204	20	2023	2023	NUM
cana-831	204	21	)	)	PUNCT
cana-831	204	22	.	.	PUNCT
cana-831	205	1	lung	lung	NOUN
cana-831	205	2	cancer	cancer	NOUN
cana-831	205	3	data	datum	NOUN
cana-831	205	4	analysis	analysis	NOUN
cana-831	205	5	for	for	ADP
cana-831	205	6	finding	find	VERB
cana-831	205	7	gene	gene	NOUN
cana-831	205	8	expression	expression	NOUN
cana-831	205	9	.	.	PUNCT
cana-831	206	1	afr	afr	PROPN
cana-831	206	2	.	.	PUNCT
cana-831	207	1	j.	j.	PROPN
cana-831	207	2	biol	biol	PROPN
cana-831	207	3	.	.	PUNCT
cana-831	208	1	sci	sci	PROPN
cana-831	208	2	,	,	PUNCT
cana-831	208	3	5(3	5(3	NUM
cana-831	208	4	)	)	PUNCT
cana-831	208	5	,	,	PUNCT
cana-831	208	6	119	119	NUM
cana-831	208	7	-	-	SYM
cana-831	208	8	130	130	NUM
cana-831	208	9	.	.	PUNCT
cana-831	209	1	[	[	X
cana-831	209	2	19	19	NUM
cana-831	209	3	]	]	SYM
cana-831	209	4	lu	lu	PROPN
cana-831	209	5	,	,	PUNCT
cana-831	209	6	z.	z.	PROPN
cana-831	209	7	f.	f.	PROPN
cana-831	209	8	,	,	PUNCT
cana-831	209	9	hsu	hsu	PROPN
cana-831	209	10	,	,	PUNCT
cana-831	209	11	c.	c.	PROPN
cana-831	209	12	y.	y.	PROPN
cana-831	209	13	,	,	PUNCT
cana-831	209	14	younis	younis	PROPN
cana-831	209	15	,	,	PUNCT
cana-831	209	16	n.	n.	PROPN
cana-831	209	17	k.	k.	PROPN
cana-831	209	18	,	,	PUNCT
cana-831	209	19	mustafa	mustafa	PROPN
cana-831	209	20	,	,	PUNCT
cana-831	209	21	m.	m.	NOUN
cana-831	209	22	a.	a.	PROPN
cana-831	209	23	,	,	PUNCT
cana-831	209	24	matveeva	matveeva	PROPN
cana-831	209	25	,	,	PUNCT
cana-831	209	26	e.	e.	PROPN
cana-831	209	27	a.	a.	PROPN
cana-831	209	28	,	,	PUNCT
cana-831	209	29	al‐juboory	al‐juboory	ADJ
cana-831	209	30	,	,	PUNCT
cana-831	210	1	y.	y.	PROPN
cana-831	210	2	h.	h.	PROPN
cana-831	210	3	o.	o.	PROPN
cana-831	210	4	,	,	PUNCT
cana-831	210	5	...	...	PUNCT
cana-831	210	6	&	&	CCONJ
cana-831	210	7	abdulraheem	abdulraheem	PROPN
cana-831	210	8	,	,	PUNCT
cana-831	210	9	m.	m.	NOUN
cana-831	210	10	n.	n.	PROPN
cana-831	210	11	(	(	PUNCT
cana-831	210	12	2024	2024	NUM
cana-831	210	13	)	)	PUNCT
cana-831	210	14	.	.	PUNCT
cana-831	211	1	exploring	explore	VERB
cana-831	211	2	the	the	DET
cana-831	211	3	significance	significance	NOUN
cana-831	211	4	of	of	ADP
cana-831	211	5	microbiota	microbiota	NOUN
cana-831	211	6	metabolites	metabolite	NOUN
cana-831	211	7	in	in	ADP
cana-831	211	8	rheumatoid	rheumatoid	NOUN
cana-831	211	9	arthritis	arthritis	NOUN
cana-831	211	10	:	:	PUNCT
cana-831	211	11	uncovering	uncover	VERB
cana-831	211	12	their	their	PRON
cana-831	211	13	contribution	contribution	NOUN
cana-831	211	14	from	from	ADP
cana-831	211	15	disease	disease	NOUN
cana-831	211	16	development	development	NOUN
cana-831	211	17	to	to	PART
cana-831	211	18	biomarker	biomarker	VERB
cana-831	211	19	potential	potential	NOUN
cana-831	211	20	.	.	PUNCT
cana-831	212	1	apmis	apmis	PROPN
cana-831	212	2	.	.	PUNCT
cana-831	213	1	[	[	X
cana-831	213	2	20	20	NUM
cana-831	213	3	]	]	X
cana-831	213	4	saadh	saadh	NOUN
cana-831	213	5	,	,	PUNCT
cana-831	213	6	m.	m.	NOUN
cana-831	213	7	j.	j.	PROPN
cana-831	213	8	,	,	PUNCT
cana-831	213	9	avecilla	avecilla	PROPN
cana-831	213	10	,	,	PUNCT
cana-831	213	11	f.	f.	PROPN
cana-831	213	12	r.	r.	PROPN
cana-831	213	13	b.	b.	PROPN
cana-831	213	14	,	,	PUNCT
cana-831	213	15	mustafa	mustafa	PROPN
cana-831	213	16	,	,	PUNCT
cana-831	213	17	m.	m.	NOUN
cana-831	213	18	a.	a.	PROPN
cana-831	213	19	,	,	PUNCT
cana-831	213	20	kumar	kumar	PROPN
cana-831	213	21	,	,	PUNCT
cana-831	213	22	a.	a.	PROPN
cana-831	213	23	,	,	PUNCT
cana-831	213	24	kaur	kaur	PROPN
cana-831	213	25	,	,	PUNCT
cana-831	213	26	i.	i.	PROPN
cana-831	213	27	,	,	PUNCT
cana-831	213	28	alawayde	alawayde	PROPN
cana-831	213	29	,	,	PUNCT
cana-831	213	30	y.	y.	PROPN
cana-831	213	31	m.	m.	PROPN
cana-831	213	32	,	,	PUNCT
cana-831	213	33	...	...	PUNCT
cana-831	213	34	&	&	CCONJ
cana-831	213	35	elmasry	elmasry	PROPN
cana-831	213	36	,	,	PUNCT
cana-831	213	37	y.	y.	PROPN
cana-831	213	38	(	(	PUNCT
cana-831	213	39	2024	2024	NUM
cana-831	213	40	)	)	PUNCT
cana-831	213	41	.	.	PUNCT
cana-831	214	1	the	the	DET
cana-831	214	2	promising	promising	ADJ
cana-831	214	3	role	role	NOUN
cana-831	214	4	of	of	ADP
cana-831	214	5	doped	doped	ADJ
cana-831	214	6	h	h	NOUN
cana-831	214	7	-	-	PUNCT
cana-831	214	8	bands	band	NOUN
cana-831	214	9	for	for	ADP
cana-831	214	10	solar	solar	ADJ
cana-831	214	11	cells	cell	NOUN
cana-831	214	12	application	application	NOUN
cana-831	214	13	:	:	PUNCT
cana-831	214	14	a	a	DET
cana-831	214	15	dft	dft	PROPN
cana-831	214	16	study	study	NOUN
cana-831	214	17	.	.	PUNCT
cana-831	215	1	journal	journal	NOUN
cana-831	215	2	of	of	ADP
cana-831	215	3	photochemistry	photochemistry	NOUN
cana-831	215	4	and	and	CCONJ
cana-831	215	5	photobiology	photobiology	NOUN
cana-831	215	6	a	a	DET
cana-831	215	7	:	:	PUNCT
cana-831	215	8	chemistry	chemistry	NOUN
cana-831	215	9	,	,	PUNCT
cana-831	215	10	451	451	NUM
cana-831	215	11	,	,	PUNCT
cana-831	215	12	115499	115499	NUM
cana-831	215	13	.	.	PUNCT