id	sid	tid	token	lemma	pos
cana-1092	1	1	template	template	NOUN
cana-1092	1	2	-	-	PUNCT
cana-1092	1	3	icme-13	icme-13	NUM
cana-1092	1	4	communications	communication	NOUN
cana-1092	1	5	on	on	ADP
cana-1092	1	6	applied	apply	VERB
cana-1092	1	7	nonlinear	nonlinear	ADJ
cana-1092	1	8	analysis	analysis	NOUN
cana-1092	1	9	issn	issn	NOUN
cana-1092	1	10	:	:	PUNCT
cana-1092	1	11	1074	1074	NUM
cana-1092	1	12	-	-	PUNCT
cana-1092	1	13	133x	133x	NUM
cana-1092	1	14	vol	vol	NOUN
cana-1092	1	15	31	31	NUM
cana-1092	1	16	no	no	NOUN
cana-1092	1	17	.	.	PUNCT
cana-1092	2	1	5s	5s	NUM
cana-1092	2	2	(	(	PUNCT
cana-1092	2	3	2024	2024	NUM
cana-1092	2	4	)	)	PUNCT
cana-1092	2	5	571	571	NUM
cana-1092	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1092	2	7	ethnomathematics	ethnomathematic	NOUN
cana-1092	2	8	in	in	ADP
cana-1092	2	9	aashtimki	aashtimki	NOUN
cana-1092	2	10	:	:	PUNCT
cana-1092	2	11	a	a	DET
cana-1092	2	12	study	study	NOUN
cana-1092	2	13	on	on	ADP
cana-1092	2	14	tharu	tharu	NOUN
cana-1092	2	15	's	's	PART
cana-1092	2	16	culture	culture	NOUN
cana-1092	2	17	parshuram	parshuram	PROPN
cana-1092	2	18	chaudhary	chaudhary	PROPN
cana-1092	2	19	department	department	PROPN
cana-1092	2	20	of	of	ADP
cana-1092	2	21	mathematics	mathematics	PROPN
cana-1092	2	22	,	,	PUNCT
cana-1092	2	23	janata	janata	PROPN
cana-1092	2	24	campus	campus	PROPN
cana-1092	2	25	,	,	PUNCT
cana-1092	2	26	nepal	nepal	PROPN
cana-1092	2	27	sanskrit	sanskrit	PROPN
cana-1092	2	28	university	university	PROPN
cana-1092	2	29	,	,	PUNCT
cana-1092	2	30	dang	dang	INTJ
cana-1092	2	31	,	,	PUNCT
cana-1092	2	32	nepal	nepal	ADJ
cana-1092	2	33	email	email	NOUN
cana-1092	2	34	:	:	PUNCT
cana-1092	2	35	parsuc31958@gmail.com	parsuc31958@gmail.com	X
cana-1092	3	1	article	article	PROPN
cana-1092	3	2	history	history	NOUN
cana-1092	3	3	:	:	PUNCT
cana-1092	3	4	received	receive	VERB
cana-1092	3	5	:	:	PUNCT
cana-1092	3	6	19	19	NUM
cana-1092	3	7	-	-	PUNCT
cana-1092	3	8	05	05	NUM
cana-1092	3	9	-	-	PUNCT
cana-1092	3	10	2024	2024	NUM
cana-1092	3	11	revised	revise	VERB
cana-1092	3	12	:	:	PUNCT
cana-1092	3	13	23	23	NUM
cana-1092	3	14	-	-	SYM
cana-1092	3	15	06	06	NUM
cana-1092	3	16	-	-	PUNCT
cana-1092	3	17	2024	2024	NUM
cana-1092	3	18	accepted	accept	VERB
cana-1092	3	19	:	:	PUNCT
cana-1092	3	20	13	13	NUM
cana-1092	3	21	-	-	SYM
cana-1092	3	22	07	07	NUM
cana-1092	3	23	-	-	PUNCT
cana-1092	3	24	2024	2024	NUM
cana-1092	3	25	abstract	abstract	NOUN
cana-1092	3	26	:	:	PUNCT
cana-1092	3	27	tharu	tharu	NOUN
cana-1092	3	28	is	be	AUX
cana-1092	3	29	one	one	NUM
cana-1092	3	30	of	of	ADP
cana-1092	3	31	the	the	DET
cana-1092	3	32	indigenous	indigenous	ADJ
cana-1092	3	33	communities	community	NOUN
cana-1092	3	34	having	have	VERB
cana-1092	3	35	their	their	PRON
cana-1092	3	36	distinctive	distinctive	ADJ
cana-1092	3	37	culture	culture	NOUN
cana-1092	3	38	and	and	CCONJ
cana-1092	3	39	practices	practice	NOUN
cana-1092	3	40	.	.	PUNCT
cana-1092	4	1	for	for	ADP
cana-1092	4	2	doing	do	VERB
cana-1092	4	3	daily	daily	ADJ
cana-1092	4	4	tasks	task	NOUN
cana-1092	4	5	,	,	PUNCT
cana-1092	4	6	they	they	PRON
cana-1092	4	7	have	have	AUX
cana-1092	4	8	developed	develop	VERB
cana-1092	4	9	their	their	PRON
cana-1092	4	10	own	own	ADJ
cana-1092	4	11	mathematical	mathematical	ADJ
cana-1092	4	12	conceptions	conception	NOUN
cana-1092	4	13	and	and	CCONJ
cana-1092	4	14	ideas	idea	NOUN
cana-1092	4	15	.	.	PUNCT
cana-1092	5	1	ethnomathematics	ethnomathematic	NOUN
cana-1092	5	2	is	be	AUX
cana-1092	5	3	the	the	DET
cana-1092	5	4	study	study	NOUN
cana-1092	5	5	of	of	ADP
cana-1092	5	6	mathematical	mathematical	ADJ
cana-1092	5	7	concepts	concept	NOUN
cana-1092	5	8	and	and	CCONJ
cana-1092	5	9	knowledge	knowledge	NOUN
cana-1092	5	10	that	that	PRON
cana-1092	5	11	are	be	AUX
cana-1092	5	12	applied	apply	VERB
cana-1092	5	13	by	by	ADP
cana-1092	5	14	a	a	DET
cana-1092	5	15	specific	specific	ADJ
cana-1092	5	16	group	group	NOUN
cana-1092	5	17	of	of	ADP
cana-1092	5	18	people	people	NOUN
cana-1092	5	19	but	but	CCONJ
cana-1092	5	20	are	be	AUX
cana-1092	5	21	typically	typically	ADV
cana-1092	5	22	not	not	PART
cana-1092	5	23	covered	cover	VERB
cana-1092	5	24	in	in	ADP
cana-1092	5	25	the	the	DET
cana-1092	5	26	formal	formal	ADJ
cana-1092	5	27	curriculum	curriculum	NOUN
cana-1092	5	28	.	.	PUNCT
cana-1092	6	1	this	this	DET
cana-1092	6	2	study	study	NOUN
cana-1092	6	3	is	be	AUX
cana-1092	6	4	intended	intend	VERB
cana-1092	6	5	to	to	PART
cana-1092	6	6	explore	explore	VERB
cana-1092	6	7	the	the	DET
cana-1092	6	8	mathematical	mathematical	ADJ
cana-1092	6	9	concepts	concept	NOUN
cana-1092	6	10	hidden	hide	VERB
cana-1092	6	11	in	in	ADP
cana-1092	6	12	the	the	DET
cana-1092	6	13	aashtimki	aashtimki	ADJ
cana-1092	6	14	painting	paint	VERB
cana-1092	6	15	that	that	DET
cana-1092	6	16	tharu	tharu	NOUN
cana-1092	6	17	's	's	PART
cana-1092	6	18	people	people	NOUN
cana-1092	6	19	celebrate	celebrate	VERB
cana-1092	6	20	.	.	PUNCT
cana-1092	7	1	this	this	DET
cana-1092	7	2	study	study	NOUN
cana-1092	7	3	used	use	VERB
cana-1092	7	4	the	the	DET
cana-1092	7	5	observation	observation	NOUN
cana-1092	7	6	and	and	CCONJ
cana-1092	7	7	documentation	documentation	NOUN
cana-1092	7	8	analysis	analysis	NOUN
cana-1092	7	9	method	method	NOUN
cana-1092	7	10	to	to	PART
cana-1092	7	11	collect	collect	VERB
cana-1092	7	12	data	datum	NOUN
cana-1092	7	13	for	for	ADP
cana-1092	7	14	this	this	DET
cana-1092	7	15	aim	aim	NOUN
cana-1092	7	16	.	.	PUNCT
cana-1092	8	1	the	the	DET
cana-1092	8	2	painting	painting	NOUN
cana-1092	8	3	for	for	ADP
cana-1092	8	4	aashtimki	aashtimki	NOUN
cana-1092	8	5	have	have	AUX
cana-1092	8	6	established	establish	VERB
cana-1092	8	7	a	a	DET
cana-1092	8	8	large	large	ADJ
cana-1092	8	9	degree	degree	NOUN
cana-1092	8	10	of	of	ADP
cana-1092	8	11	local	local	ADJ
cana-1092	8	12	knowledge	knowledge	NOUN
cana-1092	8	13	that	that	PRON
cana-1092	8	14	is	be	AUX
cana-1092	8	15	primarily	primarily	ADV
cana-1092	8	16	based	base	VERB
cana-1092	8	17	on	on	ADP
cana-1092	8	18	intuition	intuition	NOUN
cana-1092	8	19	,	,	PUNCT
cana-1092	8	20	estimation	estimation	NOUN
cana-1092	8	21	,	,	PUNCT
cana-1092	8	22	observation	observation	NOUN
cana-1092	8	23	,	,	PUNCT
cana-1092	8	24	and	and	CCONJ
cana-1092	8	25	practice	practice	NOUN
cana-1092	8	26	that	that	PRON
cana-1092	8	27	has	have	AUX
cana-1092	8	28	been	be	AUX
cana-1092	8	29	passed	pass	VERB
cana-1092	8	30	down	down	ADP
cana-1092	8	31	from	from	ADP
cana-1092	8	32	generation	generation	NOUN
cana-1092	8	33	to	to	ADP
cana-1092	8	34	generation	generation	NOUN
cana-1092	8	35	and	and	CCONJ
cana-1092	8	36	is	be	AUX
cana-1092	8	37	deeply	deeply	ADV
cana-1092	8	38	rooted	rooted	ADJ
cana-1092	8	39	in	in	ADP
cana-1092	8	40	their	their	PRON
cana-1092	8	41	local	local	ADJ
cana-1092	8	42	culture	culture	NOUN
cana-1092	8	43	.	.	PUNCT
cana-1092	9	1	emic	emic	ADJ
cana-1092	9	2	ethnomodeling	ethnomodeling	NOUN
cana-1092	9	3	is	be	AUX
cana-1092	9	4	used	use	VERB
cana-1092	9	5	to	to	PART
cana-1092	9	6	investigate	investigate	VERB
cana-1092	9	7	the	the	DET
cana-1092	9	8	mathematical	mathematical	ADJ
cana-1092	9	9	elements	element	NOUN
cana-1092	9	10	embedded	embed	VERB
cana-1092	9	11	into	into	ADP
cana-1092	9	12	the	the	DET
cana-1092	9	13	construction	construction	NOUN
cana-1092	9	14	of	of	ADP
cana-1092	9	15	aashtimki	aashtimki	ADJ
cana-1092	9	16	painting	painting	NOUN
cana-1092	9	17	in	in	ADP
cana-1092	9	18	tharu	tharu	NOUN
cana-1092	9	19	's	's	PART
cana-1092	9	20	community	community	NOUN
cana-1092	9	21	.	.	PUNCT
cana-1092	10	1	the	the	DET
cana-1092	10	2	findings	finding	NOUN
cana-1092	10	3	of	of	ADP
cana-1092	10	4	the	the	DET
cana-1092	10	5	study	study	NOUN
cana-1092	10	6	revealed	reveal	VERB
cana-1092	10	7	that	that	SCONJ
cana-1092	10	8	aashtimki	aashtimki	NOUN
cana-1092	10	9	painting	painting	NOUN
cana-1092	10	10	have	have	VERB
cana-1092	10	11	sophisticated	sophisticated	ADJ
cana-1092	10	12	mathematical	mathematical	ADJ
cana-1092	10	13	ideas	idea	NOUN
cana-1092	10	14	and	and	CCONJ
cana-1092	10	15	knowledge	knowledge	NOUN
cana-1092	10	16	and	and	CCONJ
cana-1092	10	17	they	they	PRON
cana-1092	10	18	used	use	VERB
cana-1092	10	19	the	the	DET
cana-1092	10	20	concepts	concept	NOUN
cana-1092	10	21	of	of	ADP
cana-1092	10	22	reflection	reflection	NOUN
cana-1092	10	23	,	,	PUNCT
cana-1092	10	24	rotation	rotation	NOUN
cana-1092	10	25	,	,	PUNCT
cana-1092	10	26	translation	translation	NOUN
cana-1092	10	27	and	and	CCONJ
cana-1092	10	28	dilation	dilation	NOUN
cana-1092	10	29	of	of	ADP
cana-1092	10	30	transformation	transformation	NOUN
cana-1092	10	31	implicitly	implicitly	ADV
cana-1092	10	32	.	.	PUNCT
cana-1092	11	1	keywords	keyword	NOUN
cana-1092	11	2	:	:	PUNCT
cana-1092	11	3	ethnomathematics	ethnomathematic	NOUN
cana-1092	11	4	,	,	PUNCT
cana-1092	11	5	indigenous	indigenous	ADJ
cana-1092	11	6	knowledge	knowledge	NOUN
cana-1092	11	7	,	,	PUNCT
cana-1092	11	8	aashtimki	aashtimki	PROPN
cana-1092	11	9	,	,	PUNCT
cana-1092	11	10	transformation	transformation	NOUN
cana-1092	11	11	geometry	geometry	NOUN
cana-1092	11	12	,	,	PUNCT
cana-1092	11	13	symmetry	symmetry	NOUN
cana-1092	11	14	.	.	PUNCT
cana-1092	12	1	1	1	X
cana-1092	12	2	.	.	X
cana-1092	12	3	introduction	introduction	NOUN
cana-1092	12	4	nepal	nepal	PROPN
cana-1092	12	5	is	be	AUX
cana-1092	12	6	a	a	DET
cana-1092	12	7	country	country	NOUN
cana-1092	12	8	that	that	PRON
cana-1092	12	9	is	be	AUX
cana-1092	12	10	multilingual	multilingual	ADJ
cana-1092	12	11	,	,	PUNCT
cana-1092	12	12	culturally	culturally	ADV
cana-1092	12	13	and	and	CCONJ
cana-1092	12	14	religiously	religiously	ADV
cana-1092	12	15	diverse	diverse	ADJ
cana-1092	12	16	.	.	PUNCT
cana-1092	13	1	geographically	geographically	ADV
cana-1092	13	2	,	,	PUNCT
cana-1092	13	3	linguistically	linguistically	ADV
cana-1092	13	4	,	,	PUNCT
cana-1092	13	5	caste	caste	NOUN
cana-1092	13	6	-	-	PUNCT
cana-1092	13	7	wise	wise	ADJ
cana-1092	13	8	,	,	PUNCT
cana-1092	13	9	ethnically	ethnically	ADV
cana-1092	13	10	,	,	PUNCT
cana-1092	13	11	religiously	religiously	ADV
cana-1092	13	12	,	,	PUNCT
cana-1092	13	13	and	and	CCONJ
cana-1092	13	14	culturally	culturally	ADV
cana-1092	13	15	,	,	PUNCT
cana-1092	13	16	it	it	PRON
cana-1092	13	17	is	be	AUX
cana-1092	13	18	diverse	diverse	ADJ
cana-1092	13	19	.	.	PUNCT
cana-1092	14	1	each	each	PRON
cana-1092	14	2	of	of	ADP
cana-1092	14	3	the	the	DET
cana-1092	14	4	59	59	NUM
cana-1092	14	5	indigenous	indigenous	ADJ
cana-1092	14	6	groups	group	NOUN
cana-1092	14	7	has	have	VERB
cana-1092	14	8	its	its	PRON
cana-1092	14	9	own	own	ADJ
cana-1092	14	10	culture	culture	NOUN
cana-1092	14	11	.	.	PUNCT
cana-1092	15	1	tharu	tharu	PROPN
cana-1092	15	2	is	be	AUX
cana-1092	15	3	among	among	ADP
cana-1092	15	4	them	they	PRON
cana-1092	15	5	.	.	PUNCT
cana-1092	16	1	the	the	DET
cana-1092	16	2	tharu	tharu	NOUN
cana-1092	16	3	constitute	constitute	VERB
cana-1092	16	4	a	a	DET
cana-1092	16	5	significant	significant	ADJ
cana-1092	16	6	ethnic	ethnic	ADJ
cana-1092	16	7	group	group	NOUN
cana-1092	16	8	in	in	ADP
cana-1092	16	9	nepal	nepal	NOUN
cana-1092	16	10	,	,	PUNCT
cana-1092	16	11	accounting	account	VERB
cana-1092	16	12	for	for	ADP
cana-1092	16	13	6.2	6.2	NUM
cana-1092	16	14	percent	percent	NOUN
cana-1092	16	15	of	of	ADP
cana-1092	16	16	the	the	DET
cana-1092	16	17	overall	overall	ADJ
cana-1092	16	18	population	population	NOUN
cana-1092	16	19	(	(	PUNCT
cana-1092	16	20	census	census	NOUN
cana-1092	16	21	,	,	PUNCT
cana-1092	16	22	2021	2021	NUM
cana-1092	16	23	)	)	PUNCT
cana-1092	16	24	.	.	PUNCT
cana-1092	17	1	they	they	PRON
cana-1092	17	2	live	live	VERB
cana-1092	17	3	in	in	ADP
cana-1092	17	4	the	the	DET
cana-1092	17	5	terai	terai	PROPN
cana-1092	17	6	region	region	NOUN
cana-1092	17	7	,	,	PUNCT
cana-1092	17	8	which	which	PRON
cana-1092	17	9	stretches	stretch	VERB
cana-1092	17	10	west	west	ADV
cana-1092	17	11	from	from	ADP
cana-1092	17	12	kanchanpur	kanchanpur	PROPN
cana-1092	17	13	to	to	ADP
cana-1092	17	14	east	east	PROPN
cana-1092	17	15	from	from	ADP
cana-1092	17	16	jhapa	jhapa	PROPN
cana-1092	17	17	.	.	PUNCT
cana-1092	18	1	tharu	tharu	PROPN
cana-1092	18	2	people	people	NOUN
cana-1092	18	3	are	be	AUX
cana-1092	18	4	ethnic	ethnic	ADJ
cana-1092	18	5	,	,	PUNCT
cana-1092	18	6	with	with	ADP
cana-1092	18	7	a	a	DET
cana-1092	18	8	blend	blend	NOUN
cana-1092	18	9	of	of	ADP
cana-1092	18	10	ethnic	ethnic	ADJ
cana-1092	18	11	characteristics	characteristic	NOUN
cana-1092	18	12	and	and	CCONJ
cana-1092	18	13	daily	daily	ADJ
cana-1092	18	14	activities	activity	NOUN
cana-1092	18	15	based	base	VERB
cana-1092	18	16	on	on	ADP
cana-1092	18	17	ethnomathematical	ethnomathematical	ADJ
cana-1092	18	18	concepts	concept	NOUN
cana-1092	18	19	(	(	PUNCT
cana-1092	18	20	chaudhary	chaudhary	PROPN
cana-1092	18	21	,	,	PUNCT
cana-1092	18	22	panthi	panthi	PROPN
cana-1092	18	23	&	&	CCONJ
cana-1092	18	24	bhatta	bhatta	PROPN
cana-1092	18	25	,	,	PUNCT
cana-1092	18	26	2023	2023	NUM
cana-1092	18	27	)	)	PUNCT
cana-1092	18	28	.	.	PUNCT
cana-1092	19	1	the	the	DET
cana-1092	19	2	term	term	NOUN
cana-1092	19	3	ethnomathematics	ethnomathematic	VERB
cana-1092	19	4	refers	refer	VERB
cana-1092	19	5	to	to	ADP
cana-1092	19	6	ethno	ethno	NOUN
cana-1092	19	7	and	and	CCONJ
cana-1092	19	8	mathema	mathema	ADJ
cana-1092	19	9	,	,	PUNCT
cana-1092	19	10	with	with	ADP
cana-1092	19	11	ethno	ethno	NOUN
cana-1092	19	12	referring	refer	VERB
cana-1092	19	13	to	to	ADP
cana-1092	19	14	sociocultural	sociocultural	ADJ
cana-1092	19	15	contexts	context	NOUN
cana-1092	19	16	(	(	PUNCT
cana-1092	19	17	e.g.	e.g.	ADV
cana-1092	19	18	,	,	PUNCT
cana-1092	19	19	language	language	NOUN
cana-1092	19	20	,	,	PUNCT
cana-1092	19	21	jargon	jargon	PROPN
cana-1092	19	22	,	,	PUNCT
cana-1092	19	23	code	code	NOUN
cana-1092	19	24	of	of	ADP
cana-1092	19	25	behavior	behavior	NOUN
cana-1092	19	26	,	,	PUNCT
cana-1092	19	27	myths	myth	NOUN
cana-1092	19	28	,	,	PUNCT
cana-1092	19	29	and	and	CCONJ
cana-1092	19	30	symbols	symbol	NOUN
cana-1092	19	31	)	)	PUNCT
cana-1092	19	32	and	and	CCONJ
cana-1092	19	33	mathema	mathema	ADV
cana-1092	19	34	referring	refer	VERB
cana-1092	19	35	to	to	ADP
cana-1092	19	36	knowing	know	VERB
cana-1092	19	37	,	,	PUNCT
cana-1092	19	38	understanding	understanding	NOUN
cana-1092	19	39	,	,	PUNCT
cana-1092	19	40	explaining	explain	VERB
cana-1092	19	41	,	,	PUNCT
cana-1092	19	42	and	and	CCONJ
cana-1092	19	43	performing	perform	VERB
cana-1092	19	44	activities	activity	NOUN
cana-1092	19	45	to	to	AUX
cana-1092	19	46	cipher	cipher	ADJ
cana-1092	19	47	,	,	PUNCT
cana-1092	19	48	measure	measure	NOUN
cana-1092	19	49	,	,	PUNCT
cana-1092	19	50	classify	classify	VERB
cana-1092	19	51	,	,	PUNCT
cana-1092	19	52	order	order	NOUN
cana-1092	19	53	,	,	PUNCT
cana-1092	19	54	infer	infer	VERB
cana-1092	19	55	,	,	PUNCT
cana-1092	19	56	and	and	CCONJ
cana-1092	19	57	model	model	NOUN
cana-1092	19	58	.	.	PUNCT
cana-1092	20	1	finally	finally	ADV
cana-1092	20	2	,	,	PUNCT
cana-1092	20	3	the	the	DET
cana-1092	20	4	suffix	suffix	NOUN
cana-1092	20	5	tics	tic	NOUN
cana-1092	20	6	has	have	VERB
cana-1092	20	7	the	the	DET
cana-1092	20	8	same	same	ADJ
cana-1092	20	9	root	root	NOUN
cana-1092	20	10	as	as	ADP
cana-1092	20	11	art	art	NOUN
cana-1092	20	12	and	and	CCONJ
cana-1092	20	13	technique	technique	NOUN
cana-1092	20	14	(	(	PUNCT
cana-1092	20	15	d'ambrosio,1985	d'ambrosio,1985	PROPN
cana-1092	20	16	)	)	PUNCT
cana-1092	20	17	.	.	PUNCT
cana-1092	21	1	ethnomathematics	ethnomathematic	NOUN
cana-1092	21	2	emphasizes	emphasize	VERB
cana-1092	21	3	understanding	understanding	NOUN
cana-1092	21	4	of	of	ADP
cana-1092	21	5	the	the	DET
cana-1092	21	6	various	various	ADJ
cana-1092	21	7	ways	way	NOUN
cana-1092	21	8	for	for	ADP
cana-1092	21	9	performing	perform	VERB
cana-1092	21	10	and	and	CCONJ
cana-1092	21	11	interpreting	interpret	VERB
cana-1092	21	12	mathematics	mathematic	NOUN
cana-1092	21	13	that	that	PRON
cana-1092	21	14	are	be	AUX
cana-1092	21	15	influenced	influence	VERB
cana-1092	21	16	by	by	ADP
cana-1092	21	17	cultural	cultural	ADJ
cana-1092	21	18	values	value	NOUN
cana-1092	21	19	,	,	PUNCT
cana-1092	21	20	traditional	traditional	ADJ
cana-1092	21	21	concepts	concept	NOUN
cana-1092	21	22	and	and	CCONJ
cana-1092	21	23	notions	notion	NOUN
cana-1092	21	24	,	,	PUNCT
cana-1092	21	25	and	and	CCONJ
cana-1092	21	26	ethnic	ethnic	ADJ
cana-1092	21	27	environmental	environmental	ADJ
cana-1092	21	28	conditions	condition	NOUN
cana-1092	21	29	(	(	PUNCT
cana-1092	21	30	rosa	rosa	PROPN
cana-1092	21	31	&	&	CCONJ
cana-1092	21	32	shirley	shirley	PROPN
cana-1092	21	33	,	,	PUNCT
cana-1092	21	34	2016	2016	NUM
cana-1092	21	35	)	)	PUNCT
cana-1092	21	36	.	.	PUNCT
cana-1092	22	1	in	in	ADP
cana-1092	22	2	the	the	DET
cana-1092	22	3	nepalese	nepalese	ADJ
cana-1092	22	4	context	context	NOUN
cana-1092	22	5	,	,	PUNCT
cana-1092	22	6	ethnomathematics	ethnomathematic	NOUN
cana-1092	22	7	has	have	AUX
cana-1092	22	8	been	be	AUX
cana-1092	22	9	defined	define	VERB
cana-1092	22	10	as	as	ADP
cana-1092	22	11	the	the	DET
cana-1092	22	12	study	study	NOUN
cana-1092	22	13	of	of	ADP
cana-1092	22	14	various	various	ADJ
cana-1092	22	15	mathematical	mathematical	ADJ
cana-1092	22	16	notions	notion	NOUN
cana-1092	22	17	by	by	ADP
cana-1092	22	18	indigenous	indigenous	ADJ
cana-1092	22	19	peoples	people	NOUN
cana-1092	22	20	.	.	PUNCT
cana-1092	23	1	the	the	DET
cana-1092	23	2	ethnomathematical	ethnomathematical	ADJ
cana-1092	23	3	notions	notion	NOUN
cana-1092	23	4	of	of	ADP
cana-1092	23	5	many	many	ADJ
cana-1092	23	6	groups	group	NOUN
cana-1092	23	7	of	of	ADP
cana-1092	23	8	people	people	NOUN
cana-1092	23	9	,	,	PUNCT
cana-1092	23	10	as	as	ADV
cana-1092	23	11	well	well	ADV
cana-1092	23	12	as	as	ADP
cana-1092	23	13	mathematical	mathematical	ADJ
cana-1092	23	14	concepts	concept	NOUN
cana-1092	23	15	performed	perform	VERB
cana-1092	23	16	outside	outside	ADV
cana-1092	23	17	of	of	ADP
cana-1092	23	18	school	school	NOUN
cana-1092	23	19	,	,	PUNCT
cana-1092	23	20	have	have	AUX
cana-1092	23	21	now	now	ADV
cana-1092	23	22	become	become	VERB
cana-1092	23	23	part	part	NOUN
cana-1092	23	24	of	of	ADP
cana-1092	23	25	teaching	teaching	NOUN
cana-1092	23	26	and	and	CCONJ
cana-1092	23	27	learning	learning	NOUN
cana-1092	23	28	.	.	PUNCT
cana-1092	24	1	communications	communication	NOUN
cana-1092	24	2	on	on	ADP
cana-1092	24	3	applied	apply	VERB
cana-1092	24	4	nonlinear	nonlinear	ADJ
cana-1092	24	5	analysis	analysis	NOUN
cana-1092	24	6	issn	issn	NOUN
cana-1092	24	7	:	:	PUNCT
cana-1092	24	8	1074	1074	NUM
cana-1092	24	9	-	-	PUNCT
cana-1092	24	10	133x	133x	NUM
cana-1092	24	11	vol	vol	NOUN
cana-1092	24	12	31	31	NUM
cana-1092	24	13	no	no	NOUN
cana-1092	24	14	.	.	PUNCT
cana-1092	25	1	5s	5s	NUM
cana-1092	25	2	(	(	PUNCT
cana-1092	25	3	2024	2024	NUM
cana-1092	25	4	)	)	PUNCT
cana-1092	25	5	572	572	NUM
cana-1092	25	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1092	25	7	teachers	teacher	NOUN
cana-1092	25	8	are	be	AUX
cana-1092	25	9	currently	currently	ADV
cana-1092	25	10	attempting	attempt	VERB
cana-1092	25	11	to	to	PART
cana-1092	25	12	integrate	integrate	VERB
cana-1092	25	13	cultural	cultural	ADJ
cana-1092	25	14	and	and	CCONJ
cana-1092	25	15	local	local	ADJ
cana-1092	25	16	teaching	teaching	NOUN
cana-1092	25	17	methods	method	NOUN
cana-1092	25	18	into	into	ADP
cana-1092	25	19	curricular	curricular	ADJ
cana-1092	25	20	activities	activity	NOUN
cana-1092	25	21	(	(	PUNCT
cana-1092	25	22	pradhan	pradhan	PROPN
cana-1092	25	23	,	,	PUNCT
cana-1092	25	24	sharma	sharma	PROPN
cana-1092	25	25	,	,	PUNCT
cana-1092	25	26	&	&	CCONJ
cana-1092	25	27	sharma	sharma	PROPN
cana-1092	25	28	,	,	PUNCT
cana-1092	25	29	2021	2021	NUM
cana-1092	25	30	)	)	PUNCT
cana-1092	25	31	.	.	PUNCT
cana-1092	26	1	in	in	ADP
cana-1092	26	2	nepalese	nepalese	ADJ
cana-1092	26	3	tharu	tharu	NOUN
cana-1092	26	4	people	people	NOUN
cana-1092	26	5	,	,	PUNCT
cana-1092	26	6	weaving	weave	VERB
cana-1092	26	7	is	be	AUX
cana-1092	26	8	a	a	DET
cana-1092	26	9	common	common	ADJ
cana-1092	26	10	cultural	cultural	ADJ
cana-1092	26	11	activity	activity	NOUN
cana-1092	26	12	.	.	PUNCT
cana-1092	27	1	the	the	DET
cana-1092	27	2	cultural	cultural	ADJ
cana-1092	27	3	values	value	NOUN
cana-1092	27	4	and	and	CCONJ
cana-1092	27	5	identities	identity	NOUN
cana-1092	27	6	are	be	AUX
cana-1092	27	7	reflected	reflect	VERB
cana-1092	27	8	in	in	ADP
cana-1092	27	9	the	the	DET
cana-1092	27	10	weaving	weaving	NOUN
cana-1092	27	11	of	of	ADP
cana-1092	27	12	dhakiya	dhakiya	NOUN
cana-1092	27	13	.	.	PUNCT
cana-1092	28	1	the	the	DET
cana-1092	28	2	production	production	NOUN
cana-1092	28	3	of	of	ADP
cana-1092	28	4	the	the	DET
cana-1092	28	5	dhakiya	dhakiya	NOUN
cana-1092	28	6	weaving	weaving	NOUN
cana-1092	28	7	incorporates	incorporate	VERB
cana-1092	28	8	a	a	DET
cana-1092	28	9	variety	variety	NOUN
cana-1092	28	10	of	of	ADP
cana-1092	28	11	mathematical	mathematical	ADJ
cana-1092	28	12	concepts	concept	NOUN
cana-1092	28	13	and	and	CCONJ
cana-1092	28	14	ways	way	NOUN
cana-1092	28	15	of	of	ADP
cana-1092	28	16	thinking	thinking	NOUN
cana-1092	28	17	.	.	PUNCT
cana-1092	29	1	when	when	SCONJ
cana-1092	29	2	weaving	weaving	NOUN
cana-1092	29	3	dhakiya	dhakiya	NOUN
cana-1092	29	4	,	,	PUNCT
cana-1092	29	5	it	it	PRON
cana-1092	29	6	was	be	AUX
cana-1092	29	7	seen	see	VERB
cana-1092	29	8	that	that	SCONJ
cana-1092	29	9	the	the	DET
cana-1092	29	10	weaver	weaver	NOUN
cana-1092	29	11	displayed	display	VERB
cana-1092	29	12	sophisticated	sophisticated	ADJ
cana-1092	29	13	mathematical	mathematical	ADJ
cana-1092	29	14	concepts	concept	NOUN
cana-1092	29	15	.	.	PUNCT
cana-1092	30	1	at	at	ADP
cana-1092	30	2	various	various	ADJ
cana-1092	30	3	stages	stage	NOUN
cana-1092	30	4	of	of	ADP
cana-1092	30	5	education	education	NOUN
cana-1092	30	6	,	,	PUNCT
cana-1092	30	7	it	it	PRON
cana-1092	30	8	is	be	AUX
cana-1092	30	9	suggested	suggest	VERB
cana-1092	30	10	that	that	SCONJ
cana-1092	30	11	native	native	ADJ
cana-1092	30	12	dhakiya	dhakiya	NOUN
cana-1092	30	13	weaving	weaving	NOUN
cana-1092	30	14	can	can	AUX
cana-1092	30	15	be	be	AUX
cana-1092	30	16	used	use	VERB
cana-1092	30	17	to	to	PART
cana-1092	30	18	teach	teach	VERB
cana-1092	30	19	and	and	CCONJ
cana-1092	30	20	learn	learn	VERB
cana-1092	30	21	mathematics	mathematic	NOUN
cana-1092	30	22	.	.	PUNCT
cana-1092	31	1	the	the	DET
cana-1092	31	2	integration	integration	NOUN
cana-1092	31	3	of	of	ADP
cana-1092	31	4	dhakiya	dhakiya	NOUN
cana-1092	31	5	weavers	weaver	NOUN
cana-1092	31	6	’	'	PUNCT
cana-1092	31	7	ethnomathematical	ethnomathematical	ADJ
cana-1092	31	8	concepts	concept	NOUN
cana-1092	31	9	with	with	ADP
cana-1092	31	10	school	school	NOUN
cana-1092	31	11	mathematics	mathematic	NOUN
cana-1092	31	12	strengthens	strengthen	VERB
cana-1092	31	13	the	the	DET
cana-1092	31	14	complex	complex	ADJ
cana-1092	31	15	,	,	PUNCT
cana-1092	31	16	relevant	relevant	ADJ
cana-1092	31	17	linkages	linkage	NOUN
cana-1092	31	18	between	between	ADP
cana-1092	31	19	the	the	DET
cana-1092	31	20	mathematical	mathematical	ADJ
cana-1092	31	21	concepts	concept	NOUN
cana-1092	31	22	of	of	ADP
cana-1092	31	23	two	two	NUM
cana-1092	31	24	distinct	distinct	ADJ
cana-1092	31	25	worlds	world	NOUN
cana-1092	31	26	(	(	PUNCT
cana-1092	31	27	home	home	NOUN
cana-1092	31	28	and	and	CCONJ
cana-1092	31	29	school	school	NOUN
cana-1092	31	30	)	)	PUNCT
cana-1092	31	31	,	,	PUNCT
cana-1092	31	32	where	where	SCONJ
cana-1092	31	33	the	the	DET
cana-1092	31	34	children	child	NOUN
cana-1092	31	35	simultaneously	simultaneously	ADV
cana-1092	31	36	live	live	VERB
cana-1092	31	37	and	and	CCONJ
cana-1092	31	38	study	study	VERB
cana-1092	31	39	.	.	PUNCT
cana-1092	32	1	if	if	SCONJ
cana-1092	32	2	the	the	DET
cana-1092	32	3	concepts	concept	NOUN
cana-1092	32	4	presented	present	VERB
cana-1092	32	5	are	be	AUX
cana-1092	32	6	based	base	VERB
cana-1092	32	7	on	on	ADP
cana-1092	32	8	students	student	NOUN
cana-1092	32	9	’	’	PART
cana-1092	32	10	experiences	experience	NOUN
cana-1092	32	11	and	and	CCONJ
cana-1092	32	12	actions	action	NOUN
cana-1092	32	13	,	,	PUNCT
cana-1092	32	14	both	both	CCONJ
cana-1092	32	15	the	the	DET
cana-1092	32	16	teaching	teaching	NOUN
cana-1092	32	17	and	and	CCONJ
cana-1092	32	18	learning	learning	NOUN
cana-1092	32	19	of	of	ADP
cana-1092	32	20	school	school	NOUN
cana-1092	32	21	mathematics	mathematic	NOUN
cana-1092	32	22	can	can	AUX
cana-1092	32	23	be	be	AUX
cana-1092	32	24	improved	improve	VERB
cana-1092	32	25	(	(	PUNCT
cana-1092	32	26	chaudhary	chaudhary	PROPN
cana-1092	32	27	,	,	PUNCT
cana-1092	32	28	panthi	panthi	PROPN
cana-1092	32	29	&	&	CCONJ
cana-1092	32	30	bhatta	bhatta	PROPN
cana-1092	32	31	,	,	PUNCT
cana-1092	32	32	2024	2024	NUM
cana-1092	32	33	)	)	PUNCT
cana-1092	32	34	.	.	PUNCT
cana-1092	33	1	the	the	DET
cana-1092	33	2	study	study	NOUN
cana-1092	33	3	explores	explore	VERB
cana-1092	33	4	the	the	DET
cana-1092	33	5	cultural	cultural	ADJ
cana-1092	33	6	context	context	NOUN
cana-1092	33	7	of	of	ADP
cana-1092	33	8	mathematical	mathematical	ADJ
cana-1092	33	9	concepts	concept	NOUN
cana-1092	33	10	,	,	PUNCT
cana-1092	33	11	particularly	particularly	ADV
cana-1092	33	12	calculus	calculus	NOUN
cana-1092	33	13	,	,	PUNCT
cana-1092	33	14	in	in	ADP
cana-1092	33	15	tharu	tharu	NOUN
cana-1092	33	16	's	's	PART
cana-1092	33	17	ethnomathematics	ethnomathematic	NOUN
cana-1092	33	18	.	.	PUNCT
cana-1092	34	1	it	it	PRON
cana-1092	34	2	highlights	highlight	VERB
cana-1092	34	3	the	the	DET
cana-1092	34	4	interconnectedness	interconnectedness	NOUN
cana-1092	34	5	of	of	ADP
cana-1092	34	6	formal	formal	ADJ
cana-1092	34	7	and	and	CCONJ
cana-1092	34	8	informal	informal	ADJ
cana-1092	34	9	mathematical	mathematical	ADJ
cana-1092	34	10	concepts	concept	NOUN
cana-1092	34	11	in	in	ADP
cana-1092	34	12	school	school	NOUN
cana-1092	34	13	-	-	PUNCT
cana-1092	34	14	based	base	VERB
cana-1092	34	15	curriculums	curriculum	NOUN
cana-1092	34	16	.	.	PUNCT
cana-1092	35	1	the	the	DET
cana-1092	35	2	ethnomathematics	ethnomathematic	NOUN
cana-1092	35	3	approach	approach	NOUN
cana-1092	35	4	can	can	AUX
cana-1092	35	5	be	be	AUX
cana-1092	35	6	applied	apply	VERB
cana-1092	35	7	in	in	ADP
cana-1092	35	8	various	various	ADJ
cana-1092	35	9	teaching	teaching	NOUN
cana-1092	35	10	contexts	contexts	NOUN
cana-1092	35	11	,	,	PUNCT
cana-1092	35	12	allowing	allow	VERB
cana-1092	35	13	children	child	NOUN
cana-1092	35	14	from	from	ADP
cana-1092	35	15	villages	village	NOUN
cana-1092	35	16	to	to	PART
cana-1092	35	17	improve	improve	VERB
cana-1092	35	18	their	their	PRON
cana-1092	35	19	mathematical	mathematical	ADJ
cana-1092	35	20	skills	skill	NOUN
cana-1092	35	21	.	.	PUNCT
cana-1092	36	1	the	the	DET
cana-1092	36	2	findings	finding	NOUN
cana-1092	36	3	suggest	suggest	VERB
cana-1092	36	4	that	that	SCONJ
cana-1092	36	5	integrating	integrate	VERB
cana-1092	36	6	ethnomathematics	ethnomathematic	NOUN
cana-1092	36	7	into	into	ADP
cana-1092	36	8	formal	formal	ADJ
cana-1092	36	9	curriculum	curriculum	NOUN
cana-1092	36	10	implementation	implementation	NOUN
cana-1092	36	11	can	can	AUX
cana-1092	36	12	enhance	enhance	VERB
cana-1092	36	13	students	student	NOUN
cana-1092	36	14	'	'	PART
cana-1092	36	15	understanding	understanding	NOUN
cana-1092	36	16	the	the	DET
cana-1092	36	17	concepts	concept	NOUN
cana-1092	36	18	of	of	ADP
cana-1092	36	19	rolle	rolle	PROPN
cana-1092	36	20	's	's	PART
cana-1092	36	21	theorem	theorem	NOUN
cana-1092	36	22	in	in	ADP
cana-1092	36	23	calculus	calculus	NOUN
cana-1092	36	24	.	.	PUNCT
cana-1092	37	1	the	the	DET
cana-1092	37	2	study	study	NOUN
cana-1092	37	3	encourages	encourage	VERB
cana-1092	37	4	further	further	ADJ
cana-1092	37	5	research	research	NOUN
cana-1092	37	6	on	on	ADP
cana-1092	37	7	the	the	DET
cana-1092	37	8	practical	practical	ADJ
cana-1092	37	9	value	value	NOUN
cana-1092	37	10	of	of	ADP
cana-1092	37	11	ethnomathematics	ethnomathematic	NOUN
cana-1092	37	12	in	in	ADP
cana-1092	37	13	educating	educate	VERB
cana-1092	37	14	students	student	NOUN
cana-1092	37	15	about	about	ADP
cana-1092	37	16	other	other	ADJ
cana-1092	37	17	mathematical	mathematical	ADJ
cana-1092	37	18	ideas	idea	NOUN
cana-1092	37	19	in	in	ADP
cana-1092	37	20	diverse	diverse	ADJ
cana-1092	37	21	cultural	cultural	ADJ
cana-1092	37	22	settings	setting	NOUN
cana-1092	37	23	(	(	PUNCT
cana-1092	37	24	chaudhary	chaudhary	PROPN
cana-1092	37	25	,	,	PUNCT
cana-1092	37	26	panthi	panthi	PROPN
cana-1092	37	27	&	&	CCONJ
cana-1092	37	28	bhatta	bhatta	PROPN
cana-1092	37	29	,	,	PUNCT
cana-1092	37	30	2023	2023	NUM
cana-1092	37	31	)	)	PUNCT
cana-1092	37	32	.	.	PUNCT
cana-1092	38	1	according	accord	VERB
cana-1092	38	2	to	to	ADP
cana-1092	38	3	bishop	bishop	PROPN
cana-1092	38	4	(	(	PUNCT
cana-1092	38	5	1991	1991	NUM
cana-1092	38	6	)	)	PUNCT
cana-1092	38	7	,	,	PUNCT
cana-1092	38	8	mathematics	mathematic	NOUN
cana-1092	38	9	is	be	AUX
cana-1092	38	10	a	a	DET
cana-1092	38	11	cultural	cultural	ADJ
cana-1092	38	12	product	product	NOUN
cana-1092	38	13	that	that	PRON
cana-1092	38	14	has	have	AUX
cana-1092	38	15	evolved	evolve	VERB
cana-1092	38	16	as	as	ADP
cana-1092	38	17	a	a	DET
cana-1092	38	18	result	result	NOUN
cana-1092	38	19	of	of	ADP
cana-1092	38	20	numerous	numerous	ADJ
cana-1092	38	21	actions	action	NOUN
cana-1092	38	22	,	,	PUNCT
cana-1092	38	23	and	and	CCONJ
cana-1092	38	24	counting	counting	NOUN
cana-1092	38	25	,	,	PUNCT
cana-1092	38	26	locating	locating	NOUN
cana-1092	38	27	,	,	PUNCT
cana-1092	38	28	measuring	measuring	NOUN
cana-1092	38	29	,	,	PUNCT
cana-1092	38	30	designing	designing	NOUN
cana-1092	38	31	,	,	PUNCT
cana-1092	38	32	playing	playing	NOUN
cana-1092	38	33	,	,	PUNCT
cana-1092	38	34	and	and	CCONJ
cana-1092	38	35	explaining	explain	VERB
cana-1092	38	36	are	be	AUX
cana-1092	38	37	all	all	PRON
cana-1092	38	38	components	component	NOUN
cana-1092	38	39	of	of	ADP
cana-1092	38	40	that	that	DET
cana-1092	38	41	cultural	cultural	ADJ
cana-1092	38	42	product	product	NOUN
cana-1092	38	43	.	.	PUNCT
cana-1092	39	1	everyday	everyday	ADJ
cana-1092	39	2	existence	existence	NOUN
cana-1092	39	3	is	be	AUX
cana-1092	39	4	imbued	imbue	VERB
cana-1092	39	5	with	with	ADP
cana-1092	39	6	a	a	DET
cana-1092	39	7	culture	culture	NOUN
cana-1092	39	8	's	's	PART
cana-1092	39	9	knowledge	knowledge	NOUN
cana-1092	39	10	and	and	CCONJ
cana-1092	39	11	traditions	tradition	NOUN
cana-1092	39	12	.	.	PUNCT
cana-1092	40	1	individuals	individual	NOUN
cana-1092	40	2	are	be	AUX
cana-1092	40	3	constantly	constantly	ADV
cana-1092	40	4	comparing	compare	VERB
cana-1092	40	5	,	,	PUNCT
cana-1092	40	6	classifying	classify	VERB
cana-1092	40	7	,	,	PUNCT
cana-1092	40	8	quantifying	quantifying	NOUN
cana-1092	40	9	,	,	PUNCT
cana-1092	40	10	measuring	measuring	NOUN
cana-1092	40	11	,	,	PUNCT
cana-1092	40	12	explaining	explain	VERB
cana-1092	40	13	,	,	PUNCT
cana-1092	40	14	inferring	infer	VERB
cana-1092	40	15	,	,	PUNCT
cana-1092	40	16	generalizing	generalize	VERB
cana-1092	40	17	,	,	PUNCT
cana-1092	40	18	and	and	CCONJ
cana-1092	40	19	assessing	assess	VERB
cana-1092	40	20	utilizing	utilize	VERB
cana-1092	40	21	culturally	culturally	ADV
cana-1092	40	22	specific	specific	ADJ
cana-1092	40	23	material	material	NOUN
cana-1092	40	24	and	and	CCONJ
cana-1092	40	25	intellectual	intellectual	ADJ
cana-1092	40	26	tools	tool	NOUN
cana-1092	40	27	(	(	PUNCT
cana-1092	40	28	d'ambrosio	d'ambrosio	PROPN
cana-1092	40	29	,	,	PUNCT
cana-1092	40	30	2006	2006	NUM
cana-1092	40	31	)	)	PUNCT
cana-1092	40	32	.	.	PUNCT
cana-1092	41	1	in	in	ADP
cana-1092	41	2	this	this	DET
cana-1092	41	3	study	study	NOUN
cana-1092	41	4	,	,	PUNCT
cana-1092	41	5	we	we	PRON
cana-1092	41	6	looked	look	VERB
cana-1092	41	7	for	for	ADP
cana-1092	41	8	hidden	hide	VERB
cana-1092	41	9	traditional	traditional	ADJ
cana-1092	41	10	mathematics	mathematic	NOUN
cana-1092	41	11	concepts	concept	NOUN
cana-1092	41	12	in	in	ADP
cana-1092	41	13	the	the	DET
cana-1092	41	14	aashtimki	aashtimki	ADJ
cana-1092	41	15	painting	painting	PROPN
cana-1092	41	16	's	's	PART
cana-1092	41	17	design	design	NOUN
cana-1092	41	18	.	.	PUNCT
cana-1092	42	1	the	the	DET
cana-1092	42	2	main	main	ADJ
cana-1092	42	3	objective	objective	NOUN
cana-1092	42	4	of	of	ADP
cana-1092	42	5	this	this	DET
cana-1092	42	6	study	study	NOUN
cana-1092	42	7	was	be	AUX
cana-1092	42	8	to	to	PART
cana-1092	42	9	explore	explore	VERB
cana-1092	42	10	the	the	DET
cana-1092	42	11	ethnomathematical	ethnomathematical	ADJ
cana-1092	42	12	concepts	concept	NOUN
cana-1092	42	13	embedded	embed	VERB
cana-1092	42	14	in	in	ADP
cana-1092	42	15	the	the	DET
cana-1092	42	16	aashtimki	aashtimki	NOUN
cana-1092	42	17	painting	painting	NOUN
cana-1092	42	18	celebrated	celebrate	VERB
cana-1092	42	19	by	by	ADP
cana-1092	42	20	tharu	tharu	NOUN
cana-1092	42	21	people	people	NOUN
cana-1092	42	22	in	in	ADP
cana-1092	42	23	their	their	PRON
cana-1092	42	24	nepalese	nepalese	ADJ
cana-1092	42	25	community	community	NOUN
cana-1092	42	26	,	,	PUNCT
cana-1092	42	27	with	with	ADP
cana-1092	42	28	the	the	DET
cana-1092	42	29	goal	goal	NOUN
cana-1092	42	30	of	of	ADP
cana-1092	42	31	answering	answer	VERB
cana-1092	42	32	the	the	DET
cana-1092	42	33	following	follow	VERB
cana-1092	42	34	research	research	NOUN
cana-1092	42	35	questions	question	NOUN
cana-1092	42	36	:	:	PUNCT
cana-1092	42	37	what	what	PRON
cana-1092	42	38	the	the	DET
cana-1092	42	39	tharu	tharu	NOUN
cana-1092	42	40	people	people	NOUN
cana-1092	42	41	does	do	VERB
cana-1092	42	42	,	,	PUNCT
cana-1092	42	43	why	why	SCONJ
cana-1092	42	44	they	they	PRON
cana-1092	42	45	do	do	VERB
cana-1092	42	46	it	it	PRON
cana-1092	42	47	,	,	PUNCT
cana-1092	42	48	and	and	CCONJ
cana-1092	42	49	how	how	SCONJ
cana-1092	42	50	they	they	PRON
cana-1092	42	51	celebrate	celebrate	VERB
cana-1092	42	52	krishna	krishna	PROPN
cana-1092	42	53	janmashtami	janmashtami	PROPN
cana-1092	42	54	?	?	PUNCT
cana-1092	43	1	and	and	CCONJ
cana-1092	43	2	how	how	SCONJ
cana-1092	43	3	are	be	AUX
cana-1092	43	4	tharu	tharu	NOUN
cana-1092	43	5	's	's	PART
cana-1092	43	6	hidden	hide	VERB
cana-1092	43	7	mathematical	mathematical	ADJ
cana-1092	43	8	ideas	idea	NOUN
cana-1092	43	9	and	and	CCONJ
cana-1092	43	10	understandings	understanding	NOUN
cana-1092	43	11	to	to	PART
cana-1092	43	12	be	be	AUX
cana-1092	43	13	conveyed	convey	VERB
cana-1092	43	14	in	in	ADP
cana-1092	43	15	their	their	PRON
cana-1092	43	16	aashtimki	aashtimki	NOUN
cana-1092	43	17	festival	festival	NOUN
cana-1092	43	18	,	,	PUNCT
cana-1092	43	19	with	with	ADP
cana-1092	43	20	connections	connection	NOUN
cana-1092	43	21	to	to	ADP
cana-1092	43	22	formal	formal	ADJ
cana-1092	43	23	mathematical	mathematical	ADJ
cana-1092	43	24	knowledge	knowledge	NOUN
cana-1092	43	25	?	?	PUNCT
cana-1092	44	1	2	2	X
cana-1092	44	2	.	.	X
cana-1092	44	3	methods	method	NOUN
cana-1092	44	4	and	and	CCONJ
cana-1092	44	5	procedures	procedure	NOUN
cana-1092	44	6	the	the	DET
cana-1092	44	7	qualitative	qualitative	ADJ
cana-1092	44	8	inquiry	inquiry	NOUN
cana-1092	44	9	aimed	aim	VERB
cana-1092	44	10	to	to	PART
cana-1092	44	11	explore	explore	VERB
cana-1092	44	12	ethnomathematical	ethnomathematical	ADJ
cana-1092	44	13	ideas	idea	NOUN
cana-1092	44	14	embedded	embed	VERB
cana-1092	44	15	in	in	ADP
cana-1092	44	16	aastimki	aastimki	NOUN
cana-1092	44	17	of	of	ADP
cana-1092	44	18	tharu	tharu	NOUN
cana-1092	44	19	from	from	ADP
cana-1092	44	20	dang	dang	PROPN
cana-1092	44	21	district	district	NOUN
cana-1092	44	22	in	in	ADP
cana-1092	44	23	nepal	nepal	NOUN
cana-1092	44	24	.	.	PUNCT
cana-1092	45	1	the	the	DET
cana-1092	45	2	qualitative	qualitative	ADJ
cana-1092	45	3	methods	method	NOUN
cana-1092	45	4	of	of	ADP
cana-1092	45	5	data	datum	NOUN
cana-1092	45	6	collection	collection	NOUN
cana-1092	45	7	include	include	VERB
cana-1092	45	8	interviews	interview	NOUN
cana-1092	45	9	and	and	CCONJ
cana-1092	45	10	observation	observation	NOUN
cana-1092	45	11	were	be	AUX
cana-1092	45	12	adopted	adopt	VERB
cana-1092	45	13	.	.	PUNCT
cana-1092	46	1	the	the	DET
cana-1092	46	2	observed	observed	ADJ
cana-1092	46	3	data	datum	NOUN
cana-1092	46	4	was	be	AUX
cana-1092	46	5	documented	document	VERB
cana-1092	46	6	through	through	ADP
cana-1092	46	7	paintings	painting	NOUN
cana-1092	46	8	,	,	PUNCT
cana-1092	46	9	whereas	whereas	SCONJ
cana-1092	46	10	the	the	DET
cana-1092	46	11	interview	interview	NOUN
cana-1092	46	12	data	datum	NOUN
cana-1092	46	13	was	be	AUX
cana-1092	46	14	documented	document	VERB
cana-1092	46	15	by	by	ADP
cana-1092	46	16	transcripts	transcript	NOUN
cana-1092	46	17	of	of	ADP
cana-1092	46	18	the	the	DET
cana-1092	46	19	conversation	conversation	NOUN
cana-1092	46	20	.	.	PUNCT
cana-1092	47	1	to	to	PART
cana-1092	47	2	understand	understand	VERB
cana-1092	47	3	the	the	DET
cana-1092	47	4	concept	concept	NOUN
cana-1092	47	5	of	of	ADP
cana-1092	47	6	transformation	transformation	NOUN
cana-1092	47	7	included	include	VERB
cana-1092	47	8	in	in	ADP
cana-1092	47	9	the	the	DET
cana-1092	47	10	tharu	tharu	NOUN
cana-1092	47	11	people	people	NOUN
cana-1092	47	12	's	's	PART
cana-1092	47	13	aashtimki	aashtimki	NOUN
cana-1092	47	14	festivities	festivity	NOUN
cana-1092	47	15	,	,	PUNCT
cana-1092	47	16	interview	interview	NOUN
cana-1092	47	17	transcripts	transcript	NOUN
cana-1092	47	18	and	and	CCONJ
cana-1092	47	19	paintings	painting	NOUN
cana-1092	47	20	were	be	AUX
cana-1092	47	21	analyzed	analyze	VERB
cana-1092	47	22	and	and	CCONJ
cana-1092	47	23	established	establish	VERB
cana-1092	47	24	expanded	expand	VERB
cana-1092	47	25	.	.	PUNCT
cana-1092	48	1	communications	communication	NOUN
cana-1092	48	2	on	on	ADP
cana-1092	48	3	applied	apply	VERB
cana-1092	48	4	nonlinear	nonlinear	ADJ
cana-1092	48	5	analysis	analysis	NOUN
cana-1092	48	6	issn	issn	NOUN
cana-1092	48	7	:	:	PUNCT
cana-1092	48	8	1074	1074	NUM
cana-1092	48	9	-	-	PUNCT
cana-1092	48	10	133x	133x	NUM
cana-1092	48	11	vol	vol	NOUN
cana-1092	48	12	31	31	NUM
cana-1092	48	13	no	no	NOUN
cana-1092	48	14	.	.	PUNCT
cana-1092	49	1	5s	5s	NUM
cana-1092	49	2	(	(	PUNCT
cana-1092	49	3	2024	2024	NUM
cana-1092	49	4	)	)	PUNCT
cana-1092	49	5	573	573	NUM
cana-1092	50	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1092	50	2	global	global	ADJ
cana-1092	50	3	(	(	PUNCT
cana-1092	50	4	etic	etic	PROPN
cana-1092	50	5	)	)	PUNCT
cana-1092	50	6	,	,	PUNCT
cana-1092	50	7	local	local	ADJ
cana-1092	50	8	(	(	PUNCT
cana-1092	50	9	emic	emic	ADJ
cana-1092	50	10	)	)	PUNCT
cana-1092	50	11	,	,	PUNCT
cana-1092	50	12	and	and	CCONJ
cana-1092	50	13	glocal	glocal	ADJ
cana-1092	50	14	(	(	PUNCT
cana-1092	50	15	dialogical	dialogical	ADJ
cana-1092	50	16	)	)	PUNCT
cana-1092	50	17	actions	action	NOUN
cana-1092	50	18	have	have	AUX
cana-1092	50	19	aided	aid	VERB
cana-1092	50	20	us	we	PRON
cana-1092	50	21	in	in	ADP
cana-1092	50	22	investigating	investigate	VERB
cana-1092	50	23	,	,	PUNCT
cana-1092	50	24	studying	study	VERB
cana-1092	50	25	,	,	PUNCT
cana-1092	50	26	and	and	CCONJ
cana-1092	50	27	discussing	discuss	VERB
cana-1092	50	28	issues	issue	NOUN
cana-1092	50	29	related	relate	VERB
cana-1092	50	30	to	to	ADP
cana-1092	50	31	decolonization	decolonization	NOUN
cana-1092	50	32	and	and	CCONJ
cana-1092	50	33	culture	culture	NOUN
cana-1092	50	34	,	,	PUNCT
cana-1092	50	35	while	while	SCONJ
cana-1092	50	36	also	also	ADV
cana-1092	50	37	assisting	assist	VERB
cana-1092	50	38	us	we	PRON
cana-1092	50	39	in	in	ADP
cana-1092	50	40	understanding	understand	VERB
cana-1092	50	41	the	the	DET
cana-1092	50	42	mathematical	mathematical	ADJ
cana-1092	50	43	ideas	idea	NOUN
cana-1092	50	44	,	,	PUNCT
cana-1092	50	45	procedures	procedure	NOUN
cana-1092	50	46	,	,	PUNCT
cana-1092	50	47	and	and	CCONJ
cana-1092	50	48	practices	practice	NOUN
cana-1092	50	49	developed	develop	VERB
cana-1092	50	50	by	by	ADP
cana-1092	50	51	and	and	CCONJ
cana-1092	50	52	useful	useful	ADJ
cana-1092	50	53	to	to	ADP
cana-1092	50	54	members	member	NOUN
cana-1092	50	55	of	of	ADP
cana-1092	50	56	distinct	distinct	ADJ
cana-1092	50	57	cultural	cultural	ADJ
cana-1092	50	58	groups	group	NOUN
cana-1092	50	59	.	.	PUNCT
cana-1092	51	1	a	a	DET
cana-1092	51	2	local	local	ADJ
cana-1092	51	3	(	(	PUNCT
cana-1092	51	4	emic	emic	ADJ
cana-1092	51	5	,	,	PUNCT
cana-1092	51	6	insider	insider	NOUN
cana-1092	51	7	)	)	PUNCT
cana-1092	51	8	approach	approach	NOUN
cana-1092	51	9	is	be	AUX
cana-1092	51	10	concerned	concern	VERB
cana-1092	51	11	with	with	ADP
cana-1092	51	12	how	how	SCONJ
cana-1092	51	13	individuals	individual	NOUN
cana-1092	51	14	of	of	ADP
cana-1092	51	15	various	various	ADJ
cana-1092	51	16	cultural	cultural	ADJ
cana-1092	51	17	groups	group	NOUN
cana-1092	51	18	came	come	VERB
cana-1092	51	19	to	to	PART
cana-1092	51	20	construct	construct	VERB
cana-1092	51	21	mathematical	mathematical	ADJ
cana-1092	51	22	ideas	idea	NOUN
cana-1092	51	23	,	,	PUNCT
cana-1092	51	24	techniques	technique	NOUN
cana-1092	51	25	,	,	PUNCT
cana-1092	51	26	and	and	CCONJ
cana-1092	51	27	solve	solve	VERB
cana-1092	51	28	mathematical	mathematical	ADJ
cana-1092	51	29	tasks	task	NOUN
cana-1092	51	30	.	.	PUNCT
cana-1092	52	1	it	it	PRON
cana-1092	52	2	honors	honor	VERB
cana-1092	52	3	cultural	cultural	ADJ
cana-1092	52	4	practices	practice	NOUN
cana-1092	52	5	,	,	PUNCT
cana-1092	52	6	social	social	ADJ
cana-1092	52	7	understandings	understanding	NOUN
cana-1092	52	8	,	,	PUNCT
cana-1092	52	9	conventions	convention	NOUN
cana-1092	52	10	,	,	PUNCT
cana-1092	52	11	religion	religion	NOUN
cana-1092	52	12	,	,	PUNCT
cana-1092	52	13	gender	gender	NOUN
cana-1092	52	14	,	,	PUNCT
cana-1092	52	15	and	and	CCONJ
cana-1092	52	16	beliefs	belief	NOUN
cana-1092	52	17	by	by	ADP
cana-1092	52	18	allowing	allow	VERB
cana-1092	52	19	people	people	NOUN
cana-1092	52	20	to	to	PART
cana-1092	52	21	define	define	VERB
cana-1092	52	22	their	their	PRON
cana-1092	52	23	culture	culture	NOUN
cana-1092	52	24	in	in	ADP
cana-1092	52	25	their	their	PRON
cana-1092	52	26	own	own	ADJ
cana-1092	52	27	words	word	NOUN
cana-1092	52	28	.	.	PUNCT
cana-1092	53	1	it	it	PRON
cana-1092	53	2	tries	try	VERB
cana-1092	53	3	to	to	PART
cana-1092	53	4	understand	understand	VERB
cana-1092	53	5	daily	daily	ADJ
cana-1092	53	6	happenings	happening	NOUN
cana-1092	53	7	through	through	ADP
cana-1092	53	8	the	the	DET
cana-1092	53	9	eyes	eye	NOUN
cana-1092	53	10	of	of	ADP
cana-1092	53	11	members	member	NOUN
cana-1092	53	12	of	of	ADP
cana-1092	53	13	the	the	DET
cana-1092	53	14	culture	culture	NOUN
cana-1092	53	15	being	be	AUX
cana-1092	53	16	researched	research	VERB
cana-1092	53	17	in	in	ADP
cana-1092	53	18	order	order	NOUN
cana-1092	53	19	to	to	PART
cana-1092	53	20	capture	capture	VERB
cana-1092	53	21	the	the	DET
cana-1092	53	22	significance	significance	NOUN
cana-1092	53	23	of	of	ADP
cana-1092	53	24	mathematical	mathematical	ADJ
cana-1092	53	25	daily	daily	ADJ
cana-1092	53	26	life	life	NOUN
cana-1092	53	27	activities	activity	NOUN
cana-1092	53	28	(	(	PUNCT
cana-1092	53	29	orey	orey	NOUN
cana-1092	53	30	,	,	PUNCT
cana-1092	53	31	&	&	CCONJ
cana-1092	53	32	rosa,2006	rosa,2006	ADJ
cana-1092	53	33	)	)	PUNCT
cana-1092	53	34	.	.	PUNCT
cana-1092	54	1	in	in	ADP
cana-1092	54	2	this	this	DET
cana-1092	54	3	study	study	NOUN
cana-1092	54	4	,	,	PUNCT
cana-1092	54	5	we	we	PRON
cana-1092	54	6	discovered	discover	VERB
cana-1092	54	7	about	about	ADP
cana-1092	54	8	aashtimki	aashtimki	NOUN
cana-1092	54	9	paintings	painting	NOUN
cana-1092	54	10	,	,	PUNCT
cana-1092	54	11	why	why	SCONJ
cana-1092	54	12	tharu	tharu	NOUN
cana-1092	54	13	people	people	NOUN
cana-1092	54	14	make	make	VERB
cana-1092	54	15	them	they	PRON
cana-1092	54	16	,	,	PUNCT
cana-1092	54	17	why	why	SCONJ
cana-1092	54	18	they	they	PRON
cana-1092	54	19	celebrate	celebrate	VERB
cana-1092	54	20	the	the	DET
cana-1092	54	21	occasion	occasion	NOUN
cana-1092	54	22	,	,	PUNCT
cana-1092	54	23	and	and	CCONJ
cana-1092	54	24	what	what	PRON
cana-1092	54	25	the	the	DET
cana-1092	54	26	traditional	traditional	ADJ
cana-1092	54	27	significance	significance	NOUN
cana-1092	54	28	of	of	ADP
cana-1092	54	29	aashtimi	aashtimi	PROPN
cana-1092	54	30	paintings	painting	NOUN
cana-1092	54	31	are	be	AUX
cana-1092	54	32	.	.	PUNCT
cana-1092	55	1	after	after	ADP
cana-1092	55	2	observing	observe	VERB
cana-1092	55	3	the	the	DET
cana-1092	55	4	aashtimki	aashtimki	ADJ
cana-1092	55	5	paintings	painting	NOUN
cana-1092	55	6	mathematically	mathematically	ADV
cana-1092	55	7	and	and	CCONJ
cana-1092	55	8	identifying	identify	VERB
cana-1092	55	9	unique	unique	ADJ
cana-1092	55	10	mathematics	mathematic	NOUN
cana-1092	55	11	among	among	ADP
cana-1092	55	12	them	they	PRON
cana-1092	55	13	,	,	PUNCT
cana-1092	55	14	we	we	PRON
cana-1092	55	15	explored	explore	VERB
cana-1092	55	16	transformation	transformation	NOUN
cana-1092	55	17	geometry	geometry	NOUN
cana-1092	55	18	in	in	ADP
cana-1092	55	19	this	this	DET
cana-1092	55	20	study	study	NOUN
cana-1092	55	21	and	and	CCONJ
cana-1092	55	22	apply	apply	VERB
cana-1092	55	23	emic	emic	ADJ
cana-1092	55	24	ethnomodeling	ethnomodeling	NOUN
cana-1092	55	25	.	.	PUNCT
cana-1092	56	1	3	3	X
cana-1092	56	2	.	.	NOUN
cana-1092	56	3	results	result	NOUN
cana-1092	56	4	and	and	CCONJ
cana-1092	56	5	discussions	discussion	NOUN
cana-1092	56	6	the	the	DET
cana-1092	56	7	ashtimki	ashtimki	NOUN
cana-1092	56	8	painting	painting	NOUN
cana-1092	56	9	discussed	discuss	VERB
cana-1092	56	10	above	above	ADV
cana-1092	56	11	has	have	VERB
cana-1092	56	12	great	great	ADJ
cana-1092	56	13	significance	significance	NOUN
cana-1092	56	14	in	in	ADP
cana-1092	56	15	tharu	tharu	NOUN
cana-1092	56	16	culture	culture	NOUN
cana-1092	56	17	.	.	PUNCT
cana-1092	57	1	it	it	PRON
cana-1092	57	2	is	be	AUX
cana-1092	57	3	important	important	ADJ
cana-1092	57	4	to	to	PART
cana-1092	57	5	note	note	VERB
cana-1092	57	6	that	that	SCONJ
cana-1092	57	7	the	the	DET
cana-1092	57	8	tharu	tharu	NOUN
cana-1092	57	9	people	people	NOUN
cana-1092	57	10	,	,	PUNCT
cana-1092	57	11	who	who	PRON
cana-1092	57	12	are	be	AUX
cana-1092	57	13	primarily	primarily	ADV
cana-1092	57	14	farmers	farmer	NOUN
cana-1092	57	15	,	,	PUNCT
cana-1092	57	16	worship	worship	NOUN
cana-1092	57	17	kanha	kanha	NOUN
cana-1092	57	18	,	,	PUNCT
cana-1092	57	19	a	a	DET
cana-1092	57	20	cowherd	cowherd	NOUN
cana-1092	57	21	,	,	PUNCT
cana-1092	57	22	whose	whose	DET
cana-1092	57	23	parents	parent	NOUN
cana-1092	57	24	isaru	isaru	NOUN
cana-1092	57	25	and	and	CCONJ
cana-1092	57	26	jasu	jasu	PROPN
cana-1092	57	27	,	,	PUNCT
cana-1092	57	28	father	father	NOUN
cana-1092	57	29	and	and	CCONJ
cana-1092	57	30	mother	mother	NOUN
cana-1092	57	31	respectively	respectively	ADV
cana-1092	57	32	,	,	PUNCT
cana-1092	57	33	are	be	AUX
cana-1092	57	34	also	also	ADV
cana-1092	57	35	farmers	farmer	NOUN
cana-1092	57	36	.	.	PUNCT
cana-1092	58	1	there	there	PRON
cana-1092	58	2	is	be	VERB
cana-1092	58	3	a	a	DET
cana-1092	58	4	celebration	celebration	NOUN
cana-1092	58	5	of	of	ADP
cana-1092	58	6	rustic	rustic	ADJ
cana-1092	58	7	life	life	NOUN
cana-1092	58	8	in	in	ADP
cana-1092	58	9	the	the	DET
cana-1092	58	10	painting	painting	NOUN
cana-1092	58	11	as	as	SCONJ
cana-1092	58	12	kanha	kanha	NOUN
cana-1092	58	13	is	be	AUX
cana-1092	58	14	portrayed	portray	VERB
cana-1092	58	15	dancing	dancing	NOUN
cana-1092	58	16	,	,	PUNCT
cana-1092	58	17	plowing	plowing	NOUN
cana-1092	58	18	,	,	PUNCT
cana-1092	58	19	and	and	CCONJ
cana-1092	58	20	playing	play	VERB
cana-1092	58	21	the	the	DET
cana-1092	58	22	flute	flute	NOUN
cana-1092	58	23	and	and	CCONJ
cana-1092	58	24	the	the	DET
cana-1092	58	25	mandra	mandra	NOUN
cana-1092	58	26	,	,	PUNCT
cana-1092	58	27	popular	popular	ADJ
cana-1092	58	28	musical	musical	ADJ
cana-1092	58	29	instruments	instrument	NOUN
cana-1092	58	30	of	of	ADP
cana-1092	58	31	the	the	DET
cana-1092	58	32	tharus	tharus	NOUN
cana-1092	58	33	.	.	PUNCT
cana-1092	59	1	on	on	ADP
cana-1092	59	2	the	the	DET
cana-1092	59	3	left	left	NOUN
cana-1092	59	4	and	and	CCONJ
cana-1092	59	5	the	the	DET
cana-1092	59	6	right	right	ADJ
cana-1092	59	7	corners	corner	NOUN
cana-1092	59	8	at	at	ADP
cana-1092	59	9	the	the	DET
cana-1092	59	10	top	top	NOUN
cana-1092	59	11	of	of	ADP
cana-1092	59	12	the	the	DET
cana-1092	59	13	painting	painting	NOUN
cana-1092	59	14	,	,	PUNCT
cana-1092	59	15	there	there	PRON
cana-1092	59	16	is	be	VERB
cana-1092	59	17	a	a	DET
cana-1092	59	18	moon	moon	NOUN
cana-1092	59	19	and	and	CCONJ
cana-1092	59	20	a	a	DET
cana-1092	59	21	sun	sun	NOUN
cana-1092	59	22	suggesting	suggest	VERB
cana-1092	59	23	the	the	DET
cana-1092	59	24	tharu	tharu	NOUN
cana-1092	59	25	people	people	NOUN
cana-1092	59	26	's	's	PART
cana-1092	59	27	busy	busy	ADJ
cana-1092	59	28	farm	farm	NOUN
cana-1092	59	29	life	life	NOUN
cana-1092	59	30	from	from	ADP
cana-1092	59	31	sunrise	sunrise	NOUN
cana-1092	59	32	to	to	ADP
cana-1092	59	33	moonrise	moonrise	PROPN
cana-1092	59	34	.	.	PUNCT
cana-1092	60	1	similarly	similarly	ADV
cana-1092	60	2	,	,	PUNCT
cana-1092	60	3	in	in	ADP
cana-1092	60	4	between	between	ADP
cana-1092	60	5	the	the	DET
cana-1092	60	6	sun	sun	NOUN
cana-1092	60	7	and	and	CCONJ
cana-1092	60	8	the	the	DET
cana-1092	60	9	moon	moon	NOUN
cana-1092	60	10	,	,	PUNCT
cana-1092	60	11	there	there	PRON
cana-1092	60	12	are	be	VERB
cana-1092	60	13	five	five	NUM
cana-1092	60	14	male	male	ADJ
cana-1092	60	15	figures	figure	NOUN
cana-1092	60	16	referred	refer	VERB
cana-1092	60	17	to	to	ADP
cana-1092	60	18	as	as	ADP
cana-1092	60	19	five	five	NUM
cana-1092	60	20	pandava	pandava	ADJ
cana-1092	60	21	brothers	brother	NOUN
cana-1092	60	22	.	.	PUNCT
cana-1092	61	1	there	there	PRON
cana-1092	61	2	are	be	VERB
cana-1092	61	3	female	female	ADJ
cana-1092	61	4	figures	figure	NOUN
cana-1092	61	5	who	who	PRON
cana-1092	61	6	are	be	AUX
cana-1092	61	7	supposed	suppose	VERB
cana-1092	61	8	to	to	PART
cana-1092	61	9	be	be	AUX
cana-1092	61	10	draupadi	draupadi	NOUN
cana-1092	61	11	and/or	and/or	CCONJ
cana-1092	61	12	radha	radha	PROPN
cana-1092	61	13	.	.	PUNCT
cana-1092	62	1	the	the	DET
cana-1092	62	2	boat	boat	NOUN
cana-1092	62	3	,	,	PUNCT
cana-1092	62	4	the	the	DET
cana-1092	62	5	fish	fish	NOUN
cana-1092	62	6	,	,	PUNCT
cana-1092	62	7	and	and	CCONJ
cana-1092	62	8	the	the	DET
cana-1092	62	9	ox	ox	NOUN
cana-1092	62	10	in	in	ADP
cana-1092	62	11	the	the	DET
cana-1092	62	12	painting	painting	NOUN
cana-1092	62	13	all	all	PRON
cana-1092	62	14	reflect	reflect	VERB
cana-1092	62	15	the	the	DET
cana-1092	62	16	life	life	NOUN
cana-1092	62	17	story	story	NOUN
cana-1092	62	18	of	of	ADP
cana-1092	62	19	kanha	kanha	NOUN
cana-1092	62	20	in	in	ADP
cana-1092	62	21	particular	particular	ADJ
cana-1092	62	22	and	and	CCONJ
cana-1092	62	23	the	the	DET
cana-1092	62	24	tharu	tharu	NOUN
cana-1092	62	25	people	people	NOUN
cana-1092	62	26	in	in	ADP
cana-1092	62	27	general	general	ADJ
cana-1092	62	28	.	.	PUNCT
cana-1092	63	1	the	the	DET
cana-1092	63	2	colour	colour	NOUN
cana-1092	63	3	combination	combination	NOUN
cana-1092	63	4	of	of	ADP
cana-1092	63	5	green	green	ADJ
cana-1092	63	6	,	,	PUNCT
cana-1092	63	7	blue	blue	ADJ
cana-1092	63	8	,	,	PUNCT
cana-1092	63	9	yellow	yellow	ADJ
cana-1092	63	10	and	and	CCONJ
cana-1092	63	11	red	red	NOUN
cana-1092	63	12	is	be	AUX
cana-1092	63	13	typical	typical	ADJ
cana-1092	63	14	to	to	ADP
cana-1092	63	15	ashtimki	ashtimki	NOUN
cana-1092	63	16	painting	painting	NOUN
cana-1092	63	17	in	in	ADP
cana-1092	63	18	tharu	tharu	NOUN
cana-1092	63	19	culture	culture	NOUN
cana-1092	63	20	.	.	PUNCT
cana-1092	64	1	we	we	PRON
cana-1092	64	2	discovered	discover	VERB
cana-1092	64	3	hidden	hide	VERB
cana-1092	64	4	transformation	transformation	NOUN
cana-1092	64	5	geometry	geometry	NOUN
cana-1092	64	6	in	in	ADP
cana-1092	64	7	aashtimki	aashtimki	NOUN
cana-1092	64	8	in	in	ADP
cana-1092	64	9	this	this	DET
cana-1092	64	10	painting	painting	NOUN
cana-1092	64	11	.	.	PUNCT
cana-1092	65	1	the	the	DET
cana-1092	65	2	process	process	NOUN
cana-1092	65	3	of	of	ADP
cana-1092	65	4	moving	move	VERB
cana-1092	65	5	a	a	DET
cana-1092	65	6	two	two	NUM
cana-1092	65	7	-	-	PUNCT
cana-1092	65	8	dimensional	dimensional	ADJ
cana-1092	65	9	painting	painting	NOUN
cana-1092	65	10	on	on	ADP
cana-1092	65	11	a	a	DET
cana-1092	65	12	plane	plane	NOUN
cana-1092	65	13	by	by	ADP
cana-1092	65	14	mapping	map	VERB
cana-1092	65	15	the	the	DET
cana-1092	65	16	preimage	preimage	NOUN
cana-1092	65	17	set	set	NOUN
cana-1092	65	18	of	of	ADP
cana-1092	65	19	points	point	NOUN
cana-1092	65	20	to	to	ADP
cana-1092	65	21	the	the	DET
cana-1092	65	22	image	image	NOUN
cana-1092	65	23	set	set	VERB
cana-1092	65	24	of	of	ADP
cana-1092	65	25	points	point	NOUN
cana-1092	65	26	.	.	PUNCT
cana-1092	66	1	a	a	DET
cana-1092	66	2	transformation	transformation	NOUN
cana-1092	66	3	is	be	AUX
cana-1092	66	4	defined	define	VERB
cana-1092	66	5	as	as	ADP
cana-1092	66	6	the	the	DET
cana-1092	66	7	physical	physical	ADJ
cana-1092	66	8	or	or	CCONJ
cana-1092	66	9	mental	mental	ADJ
cana-1092	66	10	movement	movement	NOUN
cana-1092	66	11	of	of	ADP
cana-1092	66	12	a	a	DET
cana-1092	66	13	painting	painting	NOUN
cana-1092	66	14	to	to	ADP
cana-1092	66	15	a	a	DET
cana-1092	66	16	different	different	ADJ
cana-1092	66	17	position	position	NOUN
cana-1092	66	18	or	or	CCONJ
cana-1092	66	19	orientation	orientation	NOUN
cana-1092	66	20	on	on	ADP
cana-1092	66	21	a	a	DET
cana-1092	66	22	communications	communication	NOUN
cana-1092	66	23	on	on	ADP
cana-1092	66	24	applied	apply	VERB
cana-1092	66	25	nonlinear	nonlinear	ADJ
cana-1092	66	26	analysis	analysis	NOUN
cana-1092	66	27	issn	issn	NOUN
cana-1092	66	28	:	:	PUNCT
cana-1092	66	29	1074	1074	NUM
cana-1092	66	30	-	-	PUNCT
cana-1092	66	31	133x	133x	NUM
cana-1092	66	32	vol	vol	NOUN
cana-1092	66	33	31	31	NUM
cana-1092	66	34	no	no	NOUN
cana-1092	66	35	.	.	PUNCT
cana-1092	67	1	5s	5s	NUM
cana-1092	67	2	(	(	PUNCT
cana-1092	67	3	2024	2024	NUM
cana-1092	67	4	)	)	PUNCT
cana-1092	67	5	574	574	NUM
cana-1092	67	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1092	67	7	plane	plane	NOUN
cana-1092	67	8	(	(	PUNCT
cana-1092	67	9	boulter	boulter	NOUN
cana-1092	67	10	&	&	CCONJ
cana-1092	67	11	kirby	kirby	PROPN
cana-1092	67	12	,	,	PUNCT
cana-1092	67	13	1994	1994	NUM
cana-1092	67	14	)	)	PUNCT
cana-1092	67	15	.	.	PUNCT
cana-1092	68	1	for	for	ADP
cana-1092	68	2	example	example	NOUN
cana-1092	68	3	,	,	PUNCT
cana-1092	68	4	the	the	DET
cana-1092	68	5	transformation	transformation	NOUN
cana-1092	68	6	(	(	PUNCT
cana-1092	68	7	t	t	NOUN
cana-1092	68	8	)	)	PUNCT
cana-1092	68	9	to	to	ADP
cana-1092	68	10	the	the	DET
cana-1092	68	11	point	point	NOUN
cana-1092	68	12	p	p	X
cana-1092	68	13	(	(	PUNCT
cana-1092	68	14	x	x	NOUN
cana-1092	68	15	,	,	PUNCT
cana-1092	68	16	y	y	NOUN
cana-1092	68	17	)	)	PUNCT
cana-1092	68	18	yields	yield	VERB
cana-1092	68	19	the	the	DET
cana-1092	68	20	shadow	shadow	NOUN
cana-1092	68	21	p'(x	p'(x	PROPN
cana-1092	68	22	,	,	PUNCT
cana-1092	68	23	y	y	PROPN
cana-1092	68	24	)	)	PUNCT
cana-1092	68	25	.	.	PUNCT
cana-1092	69	1	the	the	DET
cana-1092	69	2	procedure	procedure	NOUN
cana-1092	69	3	can	can	AUX
cana-1092	69	4	be	be	AUX
cana-1092	69	5	expressed	express	VERB
cana-1092	69	6	as	as	SCONJ
cana-1092	69	7	follows	follow	VERB
cana-1092	69	8	:	:	PUNCT
cana-1092	69	9	p	p	X
cana-1092	69	10	(	(	PUNCT
cana-1092	69	11	x	x	NOUN
cana-1092	69	12	,	,	PUNCT
cana-1092	69	13	y)→	y)→	PROPN
cana-1092	69	14	p'(x	p'(x	NOUN
cana-1092	69	15	,	,	PUNCT
cana-1092	69	16	y	y	PROPN
cana-1092	69	17	)	)	PUNCT
cana-1092	69	18	.	.	PUNCT
cana-1092	70	1	there	there	PRON
cana-1092	70	2	are	be	VERB
cana-1092	70	3	two	two	NUM
cana-1092	70	4	types	type	NOUN
cana-1092	70	5	of	of	ADP
cana-1092	70	6	transformation	transformation	NOUN
cana-1092	70	7	:	:	PUNCT
cana-1092	70	8	rigid	rigid	ADJ
cana-1092	70	9	(	(	PUNCT
cana-1092	70	10	isometric	isometric	ADJ
cana-1092	70	11	)	)	PUNCT
cana-1092	70	12	transformation	transformation	NOUN
cana-1092	70	13	and	and	CCONJ
cana-1092	70	14	non	non	ADJ
cana-1092	70	15	-	-	ADJ
cana-1092	70	16	rigid	rigid	ADJ
cana-1092	70	17	(	(	PUNCT
cana-1092	70	18	non	non	ADJ
cana-1092	70	19	-	-	ADJ
cana-1092	70	20	isometric	isometric	ADJ
cana-1092	70	21	)	)	PUNCT
cana-1092	70	22	transformation	transformation	NOUN
cana-1092	70	23	.	.	PUNCT
cana-1092	71	1	from	from	ADP
cana-1092	71	2	the	the	DET
cana-1092	71	3	perspective	perspective	NOUN
cana-1092	71	4	of	of	ADP
cana-1092	71	5	researchers	researcher	NOUN
cana-1092	71	6	,	,	PUNCT
cana-1092	71	7	the	the	DET
cana-1092	71	8	aashtimki	aashtimki	NOUN
cana-1092	71	9	painting	painting	NOUN
cana-1092	71	10	resembles	resemble	VERB
cana-1092	71	11	the	the	DET
cana-1092	71	12	concepts	concept	NOUN
cana-1092	71	13	of	of	ADP
cana-1092	71	14	transformation	transformation	NOUN
cana-1092	71	15	.	.	PUNCT
cana-1092	72	1	reflection	reflection	NOUN
cana-1092	72	2	:	:	PUNCT
cana-1092	72	3	a	a	DET
cana-1092	72	4	reflection	reflection	NOUN
cana-1092	72	5	is	be	AUX
cana-1092	72	6	a	a	DET
cana-1092	72	7	type	type	NOUN
cana-1092	72	8	of	of	ADP
cana-1092	72	9	rigid	rigid	ADJ
cana-1092	72	10	transformation	transformation	NOUN
cana-1092	72	11	in	in	ADP
cana-1092	72	12	which	which	PRON
cana-1092	72	13	the	the	DET
cana-1092	72	14	painting	painting	NOUN
cana-1092	72	15	seems	seem	VERB
cana-1092	72	16	to	to	PART
cana-1092	72	17	be	be	AUX
cana-1092	72	18	flipped	flip	VERB
cana-1092	72	19	across	across	ADP
cana-1092	72	20	an	an	DET
cana-1092	72	21	axis	axis	NOUN
cana-1092	72	22	or	or	CCONJ
cana-1092	72	23	line	line	NOUN
cana-1092	72	24	on	on	ADP
cana-1092	72	25	a	a	DET
cana-1092	72	26	plane	plane	NOUN
cana-1092	72	27	;	;	PUNCT
cana-1092	72	28	the	the	DET
cana-1092	72	29	line	line	NOUN
cana-1092	72	30	can	can	AUX
cana-1092	72	31	be	be	AUX
cana-1092	72	32	the	the	DET
cana-1092	72	33	xor	xor	PROPN
cana-1092	72	34	y	y	PROPN
cana-1092	72	35	-	-	PUNCT
cana-1092	72	36	axis	axis	NOUN
cana-1092	72	37	,	,	PUNCT
cana-1092	72	38	or	or	CCONJ
cana-1092	72	39	a	a	DET
cana-1092	72	40	line	line	NOUN
cana-1092	72	41	other	other	ADJ
cana-1092	72	42	than	than	ADP
cana-1092	72	43	one	one	NUM
cana-1092	72	44	of	of	ADP
cana-1092	72	45	the	the	DET
cana-1092	72	46	axes	axis	NOUN
cana-1092	72	47	.	.	PUNCT
cana-1092	73	1	this	this	PRON
cana-1092	73	2	is	be	AUX
cana-1092	73	3	known	know	VERB
cana-1092	73	4	as	as	ADP
cana-1092	73	5	the	the	DET
cana-1092	73	6	line	line	NOUN
cana-1092	73	7	of	of	ADP
cana-1092	73	8	reflection	reflection	NOUN
cana-1092	73	9	.	.	PUNCT
cana-1092	74	1	the	the	DET
cana-1092	74	2	item	item	NOUN
cana-1092	74	3	and	and	CCONJ
cana-1092	74	4	its	its	PRON
cana-1092	74	5	reflection	reflection	NOUN
cana-1092	74	6	are	be	AUX
cana-1092	74	7	congruent	congruent	ADJ
cana-1092	74	8	,	,	PUNCT
cana-1092	74	9	but	but	CCONJ
cana-1092	74	10	the	the	DET
cana-1092	74	11	figures	figure	NOUN
cana-1092	74	12	'	'	PART
cana-1092	74	13	positions	position	NOUN
cana-1092	74	14	and	and	CCONJ
cana-1092	74	15	alignment	alignment	NOUN
cana-1092	74	16	are	be	AUX
cana-1092	74	17	reversed	reverse	VERB
cana-1092	74	18	.	.	PUNCT
cana-1092	75	1	a	a	DET
cana-1092	75	2	mental	mental	ADJ
cana-1092	75	3	image	image	NOUN
cana-1092	75	4	of	of	ADP
cana-1092	75	5	the	the	DET
cana-1092	75	6	reflection	reflection	NOUN
cana-1092	75	7	action	action	NOUN
cana-1092	75	8	would	would	AUX
cana-1092	75	9	be	be	AUX
cana-1092	75	10	to	to	PART
cana-1092	75	11	pull	pull	VERB
cana-1092	75	12	the	the	DET
cana-1092	75	13	object	object	NOUN
cana-1092	75	14	out	out	ADP
cana-1092	75	15	of	of	ADP
cana-1092	75	16	its	its	PRON
cana-1092	75	17	plane	plane	NOUN
cana-1092	75	18	,	,	PUNCT
cana-1092	75	19	flip	flip	VERB
cana-1092	75	20	it	it	PRON
cana-1092	75	21	over	over	ADP
cana-1092	75	22	an	an	DET
cana-1092	75	23	indicated	indicate	VERB
cana-1092	75	24	line	line	NOUN
cana-1092	75	25	,	,	PUNCT
cana-1092	75	26	and	and	CCONJ
cana-1092	75	27	then	then	ADV
cana-1092	75	28	place	place	VERB
cana-1092	75	29	it	it	PRON
cana-1092	75	30	back	back	ADV
cana-1092	75	31	on	on	ADP
cana-1092	75	32	the	the	DET
cana-1092	75	33	plane	plane	NOUN
cana-1092	75	34	.	.	PUNCT
cana-1092	76	1	when	when	SCONJ
cana-1092	76	2	a	a	DET
cana-1092	76	3	reflection	reflection	NOUN
cana-1092	76	4	painting	painting	NOUN
cana-1092	76	5	is	be	AUX
cana-1092	76	6	viewed	view	VERB
cana-1092	76	7	in	in	ADP
cana-1092	76	8	a	a	DET
cana-1092	76	9	mirror	mirror	NOUN
cana-1092	76	10	,	,	PUNCT
cana-1092	76	11	the	the	DET
cana-1092	76	12	line	line	NOUN
cana-1092	76	13	of	of	ADP
cana-1092	76	14	reflection	reflection	NOUN
cana-1092	76	15	,	,	PUNCT
cana-1092	76	16	or	or	CCONJ
cana-1092	76	17	the	the	DET
cana-1092	76	18	line	line	NOUN
cana-1092	76	19	over	over	ADP
cana-1092	76	20	which	which	PRON
cana-1092	76	21	the	the	DET
cana-1092	76	22	preimage	preimage	NOUN
cana-1092	76	23	is	be	AUX
cana-1092	76	24	reflected	reflect	VERB
cana-1092	76	25	,	,	PUNCT
cana-1092	76	26	is	be	AUX
cana-1092	76	27	formed	form	VERB
cana-1092	76	28	by	by	ADP
cana-1092	76	29	the	the	DET
cana-1092	76	30	mirror	mirror	NOUN
cana-1092	76	31	edge	edge	NOUN
cana-1092	76	32	.	.	PUNCT
cana-1092	77	1	this	this	DET
cana-1092	77	2	type	type	NOUN
cana-1092	77	3	of	of	ADP
cana-1092	77	4	change	change	NOUN
cana-1092	77	5	is	be	AUX
cana-1092	77	6	frequently	frequently	ADV
cana-1092	77	7	referred	refer	VERB
cana-1092	77	8	to	to	ADP
cana-1092	77	9	as	as	ADP
cana-1092	77	10	"	"	PUNCT
cana-1092	77	11	flip	flip	VERB
cana-1092	77	12	"	"	PUNCT
cana-1092	77	13	or	or	CCONJ
cana-1092	77	14	"	"	PUNCT
cana-1092	77	15	flipping	flip	VERB
cana-1092	77	16	"	"	PUNCT
cana-1092	77	17	(	(	PUNCT
cana-1092	77	18	bansilal	bansilal	PROPN
cana-1092	77	19	&	&	CCONJ
cana-1092	77	20	naidoo	naidoo	PROPN
cana-1092	77	21	2012	2012	NUM
cana-1092	77	22	)	)	PUNCT
cana-1092	77	23	.	.	PUNCT
cana-1092	78	1	for	for	ADP
cana-1092	78	2	horizontal	horizontal	ADJ
cana-1092	78	3	x	x	ADJ
cana-1092	78	4	-	-	ADJ
cana-1092	78	5	axis	axis	ADJ
cana-1092	78	6	reflection	reflection	NOUN
cana-1092	78	7	,	,	PUNCT
cana-1092	78	8	if	if	SCONJ
cana-1092	78	9	the	the	DET
cana-1092	78	10	point	point	NOUN
cana-1092	78	11	shadow	shadow	NOUN
cana-1092	78	12	p(x	p(x	PROPN
cana-1092	78	13	,	,	PUNCT
cana-1092	78	14	y	y	PROPN
cana-1092	78	15	)	)	PUNCT
cana-1092	78	16	is	be	AUX
cana-1092	78	17	p'(x,-y	p'(x,-y	PRON
cana-1092	78	18	)	)	PUNCT
cana-1092	78	19	,	,	PUNCT
cana-1092	78	20	then	then	ADV
cana-1092	78	21	p'(x',y')=	p'(x',y')=	PROPN
cana-1092	78	22	p'(x,-y	p'(x,-y	PRON
cana-1092	78	23	)	)	PUNCT
cana-1092	78	24	,	,	PUNCT
cana-1092	78	25	the	the	DET
cana-1092	78	26	matrix	matrix	NOUN
cana-1092	78	27	form	form	NOUN
cana-1092	78	28	is	be	AUX
cana-1092	78	29	expressed	express	VERB
cana-1092	78	30	as	as	SCONJ
cana-1092	78	31	follows	follow	VERB
cana-1092	78	32	:	:	PUNCT
cana-1092	78	33	x	x	X
cana-1092	78	34	'	'	PUNCT
cana-1092	78	35	=	=	SYM
cana-1092	78	36	1×x	1×x	NUM
cana-1092	79	1	+0	+0	ADP
cana-1092	79	2	×	×	PROPN
cana-1092	79	3	y	y	PROPN
cana-1092	79	4	y	y	NOUN
cana-1092	79	5	'	'	PUNCT
cana-1092	79	6	=	=	SYM
cana-1092	79	7	0×	0×	PUNCT
cana-1092	79	8	x	x	X
cana-1092	79	9	+	+	ADJ
cana-1092	79	10	(	(	PUNCT
cana-1092	79	11	-1	-1	ADJ
cana-1092	79	12	)	)	PUNCT
cana-1092	79	13	×	×	PROPN
cana-1092	79	14	y	y	PROPN
cana-1092	79	15	(	(	PUNCT
cana-1092	79	16	𝑥′	𝑥′	X
cana-1092	79	17	𝑦′	𝑦′	X
cana-1092	79	18	)	)	PUNCT
cana-1092	79	19	=	=	PUNCT
cana-1092	79	20	(	(	PUNCT
cana-1092	79	21	1	1	NUM
cana-1092	79	22	0	0	NUM
cana-1092	79	23	0	0	NUM
cana-1092	79	24	−1	−1	NOUN
cana-1092	79	25	)	)	PUNCT
cana-1092	79	26	.	.	PUNCT
cana-1092	80	1	(	(	PUNCT
cana-1092	80	2	𝑥	𝑥	NOUN
cana-1092	80	3	𝑦	𝑦	X
cana-1092	80	4	)	)	PUNCT
cana-1092	80	5	it	it	PRON
cana-1092	80	6	demonstrates	demonstrate	VERB
cana-1092	80	7	that	that	SCONJ
cana-1092	80	8	the	the	DET
cana-1092	80	9	2×2	2×2	NUM
cana-1092	80	10	matrix	matrix	NOUN
cana-1092	80	11	of	of	ADP
cana-1092	80	12	an	an	DET
cana-1092	80	13	object	object	NOUN
cana-1092	80	14	's	's	PART
cana-1092	80	15	reflection	reflection	NOUN
cana-1092	80	16	on	on	ADP
cana-1092	80	17	the	the	DET
cana-1092	80	18	x	x	NOUN
cana-1092	80	19	-	-	NOUN
cana-1092	80	20	axis	axis	NOUN
cana-1092	80	21	is	be	AUX
cana-1092	80	22	(	(	PUNCT
cana-1092	80	23	1	1	NUM
cana-1092	80	24	0	0	NUM
cana-1092	80	25	0	0	NUM
cana-1092	80	26	−1	−1	NOUN
cana-1092	80	27	)	)	PUNCT
cana-1092	80	28	.	.	PUNCT
cana-1092	81	1	the	the	DET
cana-1092	81	2	image	image	NOUN
cana-1092	81	3	below	below	ADV
cana-1092	81	4	shows	show	VERB
cana-1092	81	5	a	a	DET
cana-1092	81	6	reflection	reflection	NOUN
cana-1092	81	7	on	on	ADP
cana-1092	81	8	the	the	DET
cana-1092	81	9	xaxis	xaxis	PROPN
cana-1092	81	10	(	(	PUNCT
cana-1092	81	11	horizontal	horizontal	ADJ
cana-1092	81	12	axis	axis	NOUN
cana-1092	81	13	)	)	PUNCT
cana-1092	81	14	of	of	ADP
cana-1092	81	15	the	the	DET
cana-1092	81	16	aashtimki	aashtimki	ADJ
cana-1092	81	17	painting	painting	NOUN
cana-1092	81	18	:	:	PUNCT
cana-1092	81	19	for	for	ADP
cana-1092	81	20	vertical	vertical	ADJ
cana-1092	81	21	y	y	ADJ
cana-1092	81	22	-	-	PUNCT
cana-1092	81	23	axis	axis	NOUN
cana-1092	81	24	reflection	reflection	NOUN
cana-1092	81	25	,	,	PUNCT
cana-1092	81	26	if	if	SCONJ
cana-1092	81	27	the	the	DET
cana-1092	81	28	point	point	NOUN
cana-1092	81	29	shadow	shadow	NOUN
cana-1092	81	30	p(x	p(x	PROPN
cana-1092	81	31	,	,	PUNCT
cana-1092	81	32	y	y	PROPN
cana-1092	81	33	)	)	PUNCT
cana-1092	81	34	is	be	AUX
cana-1092	81	35	p'(-x	p'(-x	NOUN
cana-1092	81	36	,	,	PUNCT
cana-1092	81	37	y	y	PROPN
cana-1092	81	38	)	)	PUNCT
cana-1092	81	39	,	,	PUNCT
cana-1092	81	40	then	then	ADV
cana-1092	81	41	p'(x',y')=	p'(x',y')=	PROPN
cana-1092	81	42	p'(-x	p'(-x	X
cana-1092	81	43	,	,	PUNCT
cana-1092	81	44	y	y	PROPN
cana-1092	81	45	)	)	PUNCT
cana-1092	81	46	,	,	PUNCT
cana-1092	81	47	the	the	DET
cana-1092	81	48	matrix	matrix	NOUN
cana-1092	81	49	form	form	NOUN
cana-1092	81	50	is	be	AUX
cana-1092	81	51	expressed	express	VERB
cana-1092	81	52	as	as	SCONJ
cana-1092	81	53	follows	follow	VERB
cana-1092	81	54	:	:	PUNCT
cana-1092	81	55	x	x	X
cana-1092	81	56	'	'	PUNCT
cana-1092	81	57	=	=	SYM
cana-1092	81	58	(	(	PUNCT
cana-1092	81	59	-1	-1	INTJ
cana-1092	81	60	)	)	PUNCT
cana-1092	81	61	×x	×x	VERB
cana-1092	82	1	+0	+0	ADP
cana-1092	82	2	×	×	PROPN
cana-1092	82	3	y	y	PROPN
cana-1092	82	4	communications	communication	NOUN
cana-1092	82	5	on	on	ADP
cana-1092	82	6	applied	apply	VERB
cana-1092	82	7	nonlinear	nonlinear	ADJ
cana-1092	82	8	analysis	analysis	NOUN
cana-1092	82	9	issn	issn	NOUN
cana-1092	82	10	:	:	PUNCT
cana-1092	82	11	1074	1074	NUM
cana-1092	82	12	-	-	PUNCT
cana-1092	82	13	133x	133x	NUM
cana-1092	82	14	vol	vol	NOUN
cana-1092	82	15	31	31	NUM
cana-1092	82	16	no	no	NOUN
cana-1092	82	17	.	.	PUNCT
cana-1092	83	1	5s	5s	NUM
cana-1092	83	2	(	(	PUNCT
cana-1092	83	3	2024	2024	NUM
cana-1092	83	4	)	)	PUNCT
cana-1092	83	5	575	575	NUM
cana-1092	83	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1092	83	7	y	y	NOUN
cana-1092	83	8	'	'	PUNCT
cana-1092	83	9	=	=	SYM
cana-1092	83	10	0×	0×	PUNCT
cana-1092	83	11	x	x	X
cana-1092	83	12	+1×	+1×	X
cana-1092	83	13	y	y	PROPN
cana-1092	83	14	(	(	PUNCT
cana-1092	83	15	𝑥′	𝑥′	X
cana-1092	83	16	𝑦′	𝑦′	X
cana-1092	83	17	)	)	PUNCT
cana-1092	83	18	=	=	PRON
cana-1092	83	19	(	(	PUNCT
cana-1092	83	20	−1	−1	NOUN
cana-1092	83	21	0	0	SYM
cana-1092	83	22	0	0	NUM
cana-1092	83	23	1	1	NUM
cana-1092	83	24	)	)	PUNCT
cana-1092	83	25	.	.	PUNCT
cana-1092	84	1	(	(	PUNCT
cana-1092	84	2	𝑥	𝑥	NOUN
cana-1092	84	3	𝑦	𝑦	X
cana-1092	84	4	)	)	PUNCT
cana-1092	84	5	it	it	PRON
cana-1092	84	6	demonstrates	demonstrate	VERB
cana-1092	84	7	that	that	SCONJ
cana-1092	84	8	the	the	DET
cana-1092	84	9	2×2	2×2	NUM
cana-1092	84	10	matrix	matrix	NOUN
cana-1092	84	11	of	of	ADP
cana-1092	84	12	an	an	DET
cana-1092	84	13	object	object	NOUN
cana-1092	84	14	's	's	PART
cana-1092	84	15	reflection	reflection	NOUN
cana-1092	84	16	on	on	ADP
cana-1092	84	17	the	the	DET
cana-1092	84	18	y	y	NOUN
cana-1092	84	19	-	-	PUNCT
cana-1092	84	20	axis	axis	NOUN
cana-1092	84	21	is	be	AUX
cana-1092	84	22	(	(	PUNCT
cana-1092	84	23	−1	−1	NOUN
cana-1092	84	24	0	0	SYM
cana-1092	84	25	0	0	NUM
cana-1092	84	26	1	1	NUM
cana-1092	84	27	)	)	PUNCT
cana-1092	84	28	.	.	PUNCT
cana-1092	85	1	the	the	DET
cana-1092	85	2	image	image	NOUN
cana-1092	85	3	below	below	ADV
cana-1092	85	4	shows	show	VERB
cana-1092	85	5	a	a	DET
cana-1092	85	6	reflection	reflection	NOUN
cana-1092	85	7	on	on	ADP
cana-1092	85	8	the	the	DET
cana-1092	85	9	xaxis	xaxis	PROPN
cana-1092	85	10	(	(	PUNCT
cana-1092	85	11	horizontal	horizontal	ADJ
cana-1092	85	12	axis	axis	NOUN
cana-1092	85	13	)	)	PUNCT
cana-1092	85	14	of	of	ADP
cana-1092	85	15	the	the	DET
cana-1092	85	16	aashtimki	aashtimki	ADJ
cana-1092	85	17	painting	painting	NOUN
cana-1092	85	18	:	:	PUNCT
cana-1092	85	19	for	for	ADP
cana-1092	85	20	reflection	reflection	NOUN
cana-1092	85	21	in	in	ADP
cana-1092	85	22	the	the	DET
cana-1092	85	23	line	line	NOUN
cana-1092	85	24	y	y	PROPN
cana-1092	85	25	=	=	PROPN
cana-1092	85	26	x	x	PROPN
cana-1092	85	27	,	,	PUNCT
cana-1092	85	28	if	if	SCONJ
cana-1092	85	29	the	the	DET
cana-1092	85	30	point	point	NOUN
cana-1092	85	31	shadow	shadow	NOUN
cana-1092	85	32	p(x	p(x	PROPN
cana-1092	85	33	,	,	PUNCT
cana-1092	85	34	y	y	PROPN
cana-1092	85	35	)	)	PUNCT
cana-1092	85	36	is	be	AUX
cana-1092	85	37	p'(y	p'(y	ADJ
cana-1092	85	38	,	,	PUNCT
cana-1092	85	39	x	x	NOUN
cana-1092	85	40	)	)	PUNCT
cana-1092	85	41	,	,	PUNCT
cana-1092	85	42	then	then	ADV
cana-1092	85	43	p'(x',y')=	p'(x',y')=	PROPN
cana-1092	85	44	p'(y	p'(y	NOUN
cana-1092	85	45	,	,	PUNCT
cana-1092	85	46	x	x	NOUN
cana-1092	85	47	)	)	PUNCT
cana-1092	85	48	,	,	PUNCT
cana-1092	85	49	the	the	DET
cana-1092	85	50	matrix	matrix	NOUN
cana-1092	85	51	form	form	NOUN
cana-1092	85	52	is	be	AUX
cana-1092	85	53	expressed	express	VERB
cana-1092	85	54	as	as	SCONJ
cana-1092	85	55	follows	follow	VERB
cana-1092	85	56	:	:	PUNCT
cana-1092	85	57	x	x	X
cana-1092	85	58	'	'	PUNCT
cana-1092	85	59	=	=	SYM
cana-1092	86	1	y	y	SYM
cana-1092	86	2	=	=	NOUN
cana-1092	86	3	0×x	0×x	NOUN
cana-1092	87	1	+1	+1	ADJ
cana-1092	87	2	×	×	NOUN
cana-1092	87	3	y	y	PROPN
cana-1092	87	4	y	y	NOUN
cana-1092	87	5	'	'	PUNCT
cana-1092	87	6	=	=	NOUN
cana-1092	87	7	x=	x=	NOUN
cana-1092	87	8	1×	1×	NUM
cana-1092	87	9	x	x	X
cana-1092	87	10	+0×	+0×	X
cana-1092	87	11	y	y	PROPN
cana-1092	87	12	(	(	PUNCT
cana-1092	87	13	𝑥′	𝑥′	X
cana-1092	87	14	𝑦′	𝑦′	X
cana-1092	87	15	)	)	PUNCT
cana-1092	88	1	=	=	PUNCT
cana-1092	88	2	(	(	PUNCT
cana-1092	88	3	0	0	NUM
cana-1092	88	4	1	1	NUM
cana-1092	88	5	1	1	NUM
cana-1092	88	6	0	0	NUM
cana-1092	88	7	)	)	PUNCT
cana-1092	88	8	.	.	PUNCT
cana-1092	89	1	(	(	PUNCT
cana-1092	89	2	𝑥	𝑥	NOUN
cana-1092	89	3	𝑦	𝑦	X
cana-1092	89	4	)	)	PUNCT
cana-1092	89	5	it	it	PRON
cana-1092	89	6	demonstrates	demonstrate	VERB
cana-1092	89	7	that	that	SCONJ
cana-1092	89	8	the	the	DET
cana-1092	89	9	2×2	2×2	NUM
cana-1092	89	10	matrix	matrix	NOUN
cana-1092	89	11	of	of	ADP
cana-1092	89	12	an	an	DET
cana-1092	89	13	object	object	NOUN
cana-1092	89	14	's	's	PART
cana-1092	89	15	reflection	reflection	NOUN
cana-1092	89	16	on	on	ADP
cana-1092	89	17	the	the	DET
cana-1092	89	18	line	line	NOUN
cana-1092	89	19	y=	y=	NUM
cana-1092	89	20	x	x	X
cana-1092	89	21	is	be	AUX
cana-1092	89	22	(	(	PUNCT
cana-1092	89	23	0	0	NUM
cana-1092	89	24	1	1	NUM
cana-1092	89	25	1	1	NUM
cana-1092	89	26	0	0	NUM
cana-1092	89	27	)	)	PUNCT
cana-1092	89	28	.	.	PUNCT
cana-1092	90	1	the	the	DET
cana-1092	90	2	image	image	NOUN
cana-1092	90	3	below	below	ADV
cana-1092	90	4	shows	show	VERB
cana-1092	90	5	a	a	DET
cana-1092	90	6	reflection	reflection	NOUN
cana-1092	90	7	on	on	ADP
cana-1092	90	8	the	the	DET
cana-1092	90	9	line	line	NOUN
cana-1092	90	10	y	y	PROPN
cana-1092	90	11	=	=	NOUN
cana-1092	90	12	x	x	PROPN
cana-1092	90	13	of	of	ADP
cana-1092	90	14	the	the	DET
cana-1092	90	15	aashtimki	aashtimki	ADJ
cana-1092	90	16	painting	painting	NOUN
cana-1092	90	17	:	:	PUNCT
cana-1092	90	18	communications	communication	NOUN
cana-1092	90	19	on	on	ADP
cana-1092	90	20	applied	apply	VERB
cana-1092	90	21	nonlinear	nonlinear	ADJ
cana-1092	90	22	analysis	analysis	NOUN
cana-1092	90	23	issn	issn	NOUN
cana-1092	90	24	:	:	PUNCT
cana-1092	90	25	1074	1074	NUM
cana-1092	90	26	-	-	PUNCT
cana-1092	90	27	133x	133x	NUM
cana-1092	90	28	vol	vol	NOUN
cana-1092	90	29	31	31	NUM
cana-1092	90	30	no	no	NOUN
cana-1092	90	31	.	.	PUNCT
cana-1092	91	1	5s	5s	NUM
cana-1092	91	2	(	(	PUNCT
cana-1092	91	3	2024	2024	NUM
cana-1092	91	4	)	)	PUNCT
cana-1092	91	5	576	576	NUM
cana-1092	91	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1092	91	7	for	for	ADP
cana-1092	91	8	reflection	reflection	NOUN
cana-1092	91	9	in	in	ADP
cana-1092	91	10	the	the	DET
cana-1092	91	11	line	line	NOUN
cana-1092	91	12	y=	y=	PRON
cana-1092	92	1	x	x	INTJ
cana-1092	92	2	,	,	PUNCT
cana-1092	92	3	if	if	SCONJ
cana-1092	92	4	the	the	DET
cana-1092	92	5	point	point	NOUN
cana-1092	92	6	shadow	shadow	NOUN
cana-1092	92	7	p(x	p(x	PROPN
cana-1092	92	8	,	,	PUNCT
cana-1092	92	9	y	y	PROPN
cana-1092	92	10	)	)	PUNCT
cana-1092	92	11	is	be	AUX
cana-1092	92	12	p'(-y	p'(-y	VERB
cana-1092	92	13	,	,	PUNCT
cana-1092	92	14	-x	-x	X
cana-1092	92	15	)	)	PUNCT
cana-1092	92	16	,	,	PUNCT
cana-1092	92	17	then	then	ADV
cana-1092	92	18	p'(x',y')=	p'(x',y')=	PROPN
cana-1092	92	19	p'(-y,-x	p'(-y,-x	PROPN
cana-1092	92	20	)	)	PUNCT
cana-1092	92	21	,	,	PUNCT
cana-1092	92	22	the	the	DET
cana-1092	92	23	matrix	matrix	NOUN
cana-1092	92	24	form	form	NOUN
cana-1092	92	25	is	be	AUX
cana-1092	92	26	expressed	express	VERB
cana-1092	92	27	as	as	SCONJ
cana-1092	92	28	follows	follow	VERB
cana-1092	92	29	:	:	PUNCT
cana-1092	92	30	x	x	X
cana-1092	92	31	'	'	PUNCT
cana-1092	92	32	=	=	SYM
cana-1092	92	33	-y	-y	PUNCT
cana-1092	93	1	=	=	NUM
cana-1092	93	2	0×x	0×x	NOUN
cana-1092	94	1	+	+	ADJ
cana-1092	94	2	(	(	PUNCT
cana-1092	94	3	-1	-1	INTJ
cana-1092	94	4	)	)	PUNCT
cana-1092	94	5	×	×	NOUN
cana-1092	94	6	y	y	PROPN
cana-1092	94	7	y	y	PROPN
cana-1092	94	8	'	'	PUNCT
cana-1092	94	9	=	=	SYM
cana-1092	94	10	-x=	-x=	PROPN
cana-1092	94	11	(	(	PUNCT
cana-1092	94	12	-1	-1	NOUN
cana-1092	94	13	)	)	PUNCT
cana-1092	94	14	×	×	NOUN
cana-1092	95	1	x	x	INTJ
cana-1092	95	2	+0×	+0×	X
cana-1092	95	3	y	y	PROPN
cana-1092	95	4	(	(	PUNCT
cana-1092	95	5	𝑥′	𝑥′	X
cana-1092	95	6	𝑦′	𝑦′	X
cana-1092	95	7	)	)	PUNCT
cana-1092	95	8	=	=	PUNCT
cana-1092	96	1	(	(	PUNCT
cana-1092	96	2	0	0	NUM
cana-1092	96	3	−1	−1	NOUN
cana-1092	96	4	−1	−1	NOUN
cana-1092	96	5	0	0	NUM
cana-1092	96	6	)	)	PUNCT
cana-1092	96	7	.	.	PUNCT
cana-1092	97	1	(	(	PUNCT
cana-1092	97	2	𝑥	𝑥	NOUN
cana-1092	97	3	𝑦	𝑦	X
cana-1092	97	4	)	)	PUNCT
cana-1092	97	5	it	it	PRON
cana-1092	97	6	demonstrates	demonstrate	VERB
cana-1092	97	7	that	that	SCONJ
cana-1092	97	8	the	the	DET
cana-1092	97	9	2×2	2×2	NUM
cana-1092	97	10	matrix	matrix	NOUN
cana-1092	97	11	of	of	ADP
cana-1092	97	12	an	an	DET
cana-1092	97	13	object	object	NOUN
cana-1092	97	14	's	's	PART
cana-1092	97	15	reflection	reflection	NOUN
cana-1092	97	16	on	on	ADP
cana-1092	97	17	the	the	DET
cana-1092	97	18	line	line	NOUN
cana-1092	97	19	y=	y=	NUM
cana-1092	97	20	-x	-x	PROPN
cana-1092	97	21	is	be	AUX
cana-1092	97	22	(	(	PUNCT
cana-1092	97	23	0	0	NUM
cana-1092	97	24	−1	−1	NOUN
cana-1092	97	25	−1	−1	NOUN
cana-1092	97	26	0	0	NUM
cana-1092	97	27	)	)	PUNCT
cana-1092	97	28	.	.	PUNCT
cana-1092	98	1	the	the	DET
cana-1092	98	2	image	image	NOUN
cana-1092	98	3	below	below	ADV
cana-1092	98	4	shows	show	VERB
cana-1092	98	5	a	a	DET
cana-1092	98	6	reflection	reflection	NOUN
cana-1092	98	7	on	on	ADP
cana-1092	98	8	the	the	DET
cana-1092	98	9	line	line	NOUN
cana-1092	99	1	y=	y=	PRON
cana-1092	99	2	-x	-x	PROPN
cana-1092	99	3	of	of	ADP
cana-1092	99	4	the	the	DET
cana-1092	99	5	aashtimki	aashtimki	ADJ
cana-1092	99	6	painting	painting	NOUN
cana-1092	99	7	:	:	PUNCT
cana-1092	99	8	rotation	rotation	NOUN
cana-1092	99	9	:	:	PUNCT
cana-1092	99	10	a	a	DET
cana-1092	99	11	rotation	rotation	NOUN
cana-1092	99	12	is	be	AUX
cana-1092	99	13	a	a	DET
cana-1092	99	14	type	type	NOUN
cana-1092	99	15	of	of	ADP
cana-1092	99	16	rigid	rigid	ADJ
cana-1092	99	17	transformation	transformation	NOUN
cana-1092	99	18	in	in	ADP
cana-1092	99	19	which	which	PRON
cana-1092	99	20	a	a	DET
cana-1092	99	21	two	two	NUM
cana-1092	99	22	-	-	PUNCT
cana-1092	99	23	dimensional	dimensional	ADJ
cana-1092	99	24	figure	figure	NOUN
cana-1092	99	25	is	be	AUX
cana-1092	99	26	turned	turn	VERB
cana-1092	99	27	an	an	DET
cana-1092	99	28	angle	angle	NOUN
cana-1092	99	29	and	and	CCONJ
cana-1092	99	30	direction	direction	NOUN
cana-1092	99	31	around	around	ADP
cana-1092	99	32	a	a	DET
cana-1092	99	33	fixed	fix	VERB
cana-1092	99	34	point	point	NOUN
cana-1092	99	35	known	know	VERB
cana-1092	99	36	as	as	ADP
cana-1092	99	37	the	the	DET
cana-1092	99	38	center	center	NOUN
cana-1092	99	39	of	of	ADP
cana-1092	99	40	rotation	rotation	NOUN
cana-1092	99	41	.	.	PUNCT
cana-1092	100	1	a	a	DET
cana-1092	100	2	rotation	rotation	NOUN
cana-1092	100	3	is	be	AUX
cana-1092	100	4	also	also	ADV
cana-1092	100	5	known	know	VERB
cana-1092	100	6	as	as	ADP
cana-1092	100	7	a	a	DET
cana-1092	100	8	turn	turn	NOUN
cana-1092	100	9	.	.	PUNCT
cana-1092	101	1	the	the	DET
cana-1092	101	2	rotation	rotation	NOUN
cana-1092	101	3	rotates	rotate	VERB
cana-1092	101	4	the	the	DET
cana-1092	101	5	painting	painting	NOUN
cana-1092	101	6	and	and	CCONJ
cana-1092	101	7	all	all	PRON
cana-1092	101	8	of	of	ADP
cana-1092	101	9	its	its	PRON
cana-1092	101	10	points	point	NOUN
cana-1092	101	11	through	through	ADP
cana-1092	101	12	a	a	DET
cana-1092	101	13	given	give	VERB
cana-1092	101	14	angle	angle	NOUN
cana-1092	101	15	measurement	measurement	NOUN
cana-1092	101	16	,	,	PUNCT
cana-1092	101	17	with	with	ADP
cana-1092	101	18	the	the	DET
cana-1092	101	19	vertex	vertex	NOUN
cana-1092	101	20	of	of	ADP
cana-1092	101	21	the	the	DET
cana-1092	101	22	angle	angle	NOUN
cana-1092	101	23	referred	refer	VERB
cana-1092	101	24	to	to	ADP
cana-1092	101	25	as	as	ADP
cana-1092	101	26	the	the	DET
cana-1092	101	27	center	center	NOUN
cana-1092	101	28	of	of	ADP
cana-1092	101	29	rotation	rotation	NOUN
cana-1092	101	30	.	.	PUNCT
cana-1092	102	1	two	two	NUM
cana-1092	102	2	pieces	piece	NOUN
cana-1092	102	3	of	of	ADP
cana-1092	102	4	information	information	NOUN
cana-1092	102	5	are	be	AUX
cana-1092	102	6	required	require	VERB
cana-1092	102	7	for	for	ADP
cana-1092	102	8	a	a	DET
cana-1092	102	9	description	description	NOUN
cana-1092	102	10	of	of	ADP
cana-1092	102	11	rotation	rotation	NOUN
cana-1092	102	12	:	:	PUNCT
cana-1092	102	13	the	the	DET
cana-1092	102	14	center	center	NOUN
cana-1092	102	15	and	and	CCONJ
cana-1092	102	16	angle	angle	NOUN
cana-1092	102	17	of	of	ADP
cana-1092	102	18	rotation	rotation	NOUN
cana-1092	102	19	,	,	PUNCT
cana-1092	102	20	as	as	ADV
cana-1092	102	21	well	well	ADV
cana-1092	102	22	as	as	ADP
cana-1092	102	23	the	the	DET
cana-1092	102	24	direction	direction	NOUN
cana-1092	102	25	of	of	ADP
cana-1092	102	26	rotation	rotation	NOUN
cana-1092	102	27	;	;	PUNCT
cana-1092	102	28	the	the	DET
cana-1092	102	29	center	center	NOUN
cana-1092	102	30	of	of	ADP
cana-1092	102	31	rotation	rotation	NOUN
cana-1092	102	32	is	be	AUX
cana-1092	102	33	the	the	DET
cana-1092	102	34	only	only	ADJ
cana-1092	102	35	location	location	NOUN
cana-1092	102	36	that	that	PRON
cana-1092	102	37	is	be	AUX
cana-1092	102	38	not	not	PART
cana-1092	102	39	influenced	influence	VERB
cana-1092	102	40	by	by	ADP
cana-1092	102	41	the	the	DET
cana-1092	102	42	rotation	rotation	NOUN
cana-1092	102	43	(	(	PUNCT
cana-1092	102	44	wesslen	wesslen	PROPN
cana-1092	102	45	&	&	CCONJ
cana-1092	102	46	fernandez	fernandez	PROPN
cana-1092	102	47	,	,	PUNCT
cana-1092	102	48	2005	2005	NUM
cana-1092	102	49	)	)	PUNCT
cana-1092	102	50	.	.	PUNCT
cana-1092	103	1	in	in	ADP
cana-1092	103	2	rotation	rotation	NOUN
cana-1092	103	3	,	,	PUNCT
cana-1092	103	4	there	there	PRON
cana-1092	103	5	are	be	VERB
cana-1092	103	6	two	two	NUM
cana-1092	103	7	fundamental	fundamental	ADJ
cana-1092	103	8	points	point	NOUN
cana-1092	103	9	:	:	PUNCT
cana-1092	103	10	angle	angle	NOUN
cana-1092	103	11	and	and	CCONJ
cana-1092	103	12	direction	direction	NOUN
cana-1092	103	13	.	.	PUNCT
cana-1092	104	1	positive	positive	ADJ
cana-1092	104	2	represents	represent	VERB
cana-1092	104	3	anticlockwise	anticlockwise	NOUN
cana-1092	104	4	and	and	CCONJ
cana-1092	104	5	negative	negative	ADJ
cana-1092	104	6	represents	represent	VERB
cana-1092	104	7	clockwise	clockwise	NOUN
cana-1092	104	8	,	,	PUNCT
cana-1092	104	9	and	and	CCONJ
cana-1092	104	10	it	it	PRON
cana-1092	104	11	can	can	AUX
cana-1092	104	12	be	be	AUX
cana-1092	104	13	rotated	rotate	VERB
cana-1092	104	14	at	at	ADP
cana-1092	104	15	any	any	DET
cana-1092	104	16	angle	angle	NOUN
cana-1092	104	17	.	.	PUNCT
cana-1092	105	1	figure	figure	NOUN
cana-1092	105	2	6	6	NUM
cana-1092	105	3	.	.	PUNCT
cana-1092	106	1	aashtimki	aashtimki	NOUN
cana-1092	106	2	painting	painting	NOUN
cana-1092	106	3	is	be	AUX
cana-1092	106	4	rotate	rotate	VERB
cana-1092	106	5	+900	+900	PUNCT
cana-1092	106	6	and	and	CCONJ
cana-1092	106	7	-900	-900	PROPN
cana-1092	106	8	about	about	ADP
cana-1092	106	9	origin	origin	NOUN
cana-1092	106	10	communications	communication	NOUN
cana-1092	106	11	on	on	ADP
cana-1092	106	12	applied	apply	VERB
cana-1092	106	13	nonlinear	nonlinear	ADJ
cana-1092	106	14	analysis	analysis	NOUN
cana-1092	106	15	issn	issn	NOUN
cana-1092	106	16	:	:	PUNCT
cana-1092	106	17	1074	1074	NUM
cana-1092	106	18	-	-	PUNCT
cana-1092	106	19	133x	133x	NUM
cana-1092	106	20	vol	vol	NOUN
cana-1092	106	21	31	31	NUM
cana-1092	106	22	no	no	NOUN
cana-1092	106	23	.	.	PUNCT
cana-1092	107	1	5s	5s	NUM
cana-1092	107	2	(	(	PUNCT
cana-1092	107	3	2024	2024	NUM
cana-1092	107	4	)	)	PUNCT
cana-1092	107	5	577	577	NUM
cana-1092	107	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1092	107	7	for	for	ADP
cana-1092	107	8	rotation	rotation	NOUN
cana-1092	107	9	anticlockwise	anticlockwise	NOUN
cana-1092	107	10	(	(	PUNCT
cana-1092	107	11	positive	positive	ADJ
cana-1092	107	12	)	)	PUNCT
cana-1092	107	13	about	about	ADV
cana-1092	107	14	900	900	NUM
cana-1092	107	15	or	or	CCONJ
cana-1092	107	16	clockwise	clockwise	NOUN
cana-1092	107	17	(	(	PUNCT
cana-1092	107	18	negative	negative	ADJ
cana-1092	107	19	)	)	PUNCT
cana-1092	107	20	about	about	ADP
cana-1092	107	21	2700	2700	NUM
cana-1092	107	22	,	,	PUNCT
cana-1092	107	23	if	if	SCONJ
cana-1092	107	24	the	the	DET
cana-1092	107	25	image	image	NOUN
cana-1092	107	26	of	of	ADP
cana-1092	107	27	a	a	DET
cana-1092	107	28	point	point	NOUN
cana-1092	107	29	p(x	p(x	PROPN
cana-1092	107	30	,	,	PUNCT
cana-1092	107	31	y	y	NOUN
cana-1092	107	32	)	)	PUNCT
cana-1092	107	33	is	be	AUX
cana-1092	107	34	p'(-y	p'(-y	VERB
cana-1092	107	35	,	,	PUNCT
cana-1092	107	36	x	x	NOUN
cana-1092	107	37	)	)	PUNCT
cana-1092	107	38	,	,	PUNCT
cana-1092	107	39	then	then	ADV
cana-1092	107	40	p'(x',y')=	p'(x',y')=	PROPN
cana-1092	107	41	p'(-y	p'(-y	VERB
cana-1092	107	42	,	,	PUNCT
cana-1092	107	43	x	x	NOUN
cana-1092	107	44	)	)	PUNCT
cana-1092	107	45	.	.	PUNCT
cana-1092	108	1	the	the	DET
cana-1092	108	2	matrix	matrix	NOUN
cana-1092	108	3	form	form	NOUN
cana-1092	108	4	is	be	AUX
cana-1092	108	5	expressed	express	VERB
cana-1092	108	6	as	as	SCONJ
cana-1092	108	7	follows	follow	VERB
cana-1092	108	8	:	:	PUNCT
cana-1092	108	9	x	x	X
cana-1092	108	10	'	'	PUNCT
cana-1092	108	11	=	=	SYM
cana-1092	108	12	-y=0×x	-y=0×x	PROPN
cana-1092	109	1	+1	+1	INTJ
cana-1092	109	2	×	×	NOUN
cana-1092	109	3	y	y	PROPN
cana-1092	109	4	y	y	NOUN
cana-1092	109	5	'	'	PUNCT
cana-1092	109	6	=	=	NOUN
cana-1092	109	7	x	x	SYM
cana-1092	109	8	=	=	SYM
cana-1092	109	9	1×	1×	NUM
cana-1092	109	10	x	x	X
cana-1092	110	1	+	+	NUM
cana-1092	110	2	0×	0×	VERB
cana-1092	110	3	y	y	PROPN
cana-1092	110	4	(	(	PUNCT
cana-1092	110	5	𝑥′	𝑥′	X
cana-1092	110	6	𝑦′	𝑦′	X
cana-1092	110	7	)	)	PUNCT
cana-1092	111	1	=	=	PUNCT
cana-1092	111	2	(	(	PUNCT
cana-1092	111	3	0	0	NUM
cana-1092	111	4	−1	−1	NOUN
cana-1092	111	5	1	1	NUM
cana-1092	111	6	0	0	NUM
cana-1092	111	7	)	)	PUNCT
cana-1092	111	8	.	.	PUNCT
cana-1092	112	1	(	(	PUNCT
cana-1092	112	2	𝑥	𝑥	NOUN
cana-1092	112	3	𝑦	𝑦	X
cana-1092	112	4	)	)	PUNCT
cana-1092	112	5	it	it	PRON
cana-1092	112	6	demonstrates	demonstrate	VERB
cana-1092	112	7	that	that	SCONJ
cana-1092	112	8	the	the	DET
cana-1092	112	9	2×2	2×2	NUM
cana-1092	112	10	matrix	matrix	NOUN
cana-1092	112	11	of	of	ADP
cana-1092	112	12	an	an	DET
cana-1092	112	13	object	object	NOUN
cana-1092	112	14	's	's	PART
cana-1092	112	15	rotation	rotation	NOUN
cana-1092	112	16	anticlockwise	anticlockwise	NOUN
cana-1092	112	17	(	(	PUNCT
cana-1092	112	18	positive	positive	ADJ
cana-1092	112	19	)	)	PUNCT
cana-1092	112	20	about	about	ADV
cana-1092	112	21	900	900	NUM
cana-1092	112	22	or	or	CCONJ
cana-1092	112	23	clockwise	clockwise	NOUN
cana-1092	112	24	(	(	PUNCT
cana-1092	112	25	negative	negative	ADJ
cana-1092	112	26	)	)	PUNCT
cana-1092	112	27	about	about	ADV
cana-1092	112	28	2700	2700	NUM
cana-1092	112	29	is	be	AUX
cana-1092	112	30	(	(	PUNCT
cana-1092	112	31	0	0	NUM
cana-1092	112	32	−1	−1	NOUN
cana-1092	112	33	1	1	NUM
cana-1092	112	34	0	0	NUM
cana-1092	112	35	)	)	PUNCT
cana-1092	112	36	.	.	PUNCT
cana-1092	113	1	the	the	DET
cana-1092	113	2	image	image	NOUN
cana-1092	113	3	below	below	ADV
cana-1092	113	4	shows	show	VERB
cana-1092	113	5	a	a	DET
cana-1092	113	6	rotation	rotation	NOUN
cana-1092	113	7	anticlockwise	anticlockwise	NOUN
cana-1092	113	8	(	(	PUNCT
cana-1092	113	9	positive	positive	ADJ
cana-1092	113	10	)	)	PUNCT
cana-1092	113	11	about	about	ADV
cana-1092	113	12	900	900	NUM
cana-1092	113	13	or	or	CCONJ
cana-1092	113	14	clockwise	clockwise	NOUN
cana-1092	113	15	(	(	PUNCT
cana-1092	113	16	negative	negative	ADJ
cana-1092	113	17	)	)	PUNCT
cana-1092	113	18	about	about	ADV
cana-1092	113	19	2700	2700	NUM
cana-1092	113	20	of	of	ADP
cana-1092	113	21	the	the	DET
cana-1092	113	22	aashtimki	aashtimki	ADJ
cana-1092	113	23	painting	painting	NOUN
cana-1092	113	24	:	:	PUNCT
cana-1092	113	25	figure	figure	NOUN
cana-1092	113	26	7	7	NUM
cana-1092	113	27	.	.	PUNCT
cana-1092	113	28	aashtimki	aashtimki	NOUN
cana-1092	113	29	painting	painting	NOUN
cana-1092	113	30	is	be	AUX
cana-1092	113	31	rotated	rotate	VERB
cana-1092	113	32	+900	+900	PUNCT
cana-1092	113	33	about	about	ADP
cana-1092	113	34	origin	origin	NOUN
cana-1092	113	35	for	for	ADP
cana-1092	113	36	rotation	rotation	NOUN
cana-1092	113	37	clockwise	clockwise	NOUN
cana-1092	113	38	(	(	PUNCT
cana-1092	113	39	negative	negative	ADJ
cana-1092	113	40	)	)	PUNCT
cana-1092	113	41	about	about	ADV
cana-1092	113	42	900	900	NUM
cana-1092	113	43	or	or	CCONJ
cana-1092	113	44	anticlockwise	anticlockwise	NOUN
cana-1092	113	45	(	(	PUNCT
cana-1092	113	46	positive	positive	ADJ
cana-1092	113	47	)	)	PUNCT
cana-1092	113	48	about	about	ADP
cana-1092	113	49	2700	2700	NUM
cana-1092	113	50	,	,	PUNCT
cana-1092	113	51	if	if	SCONJ
cana-1092	113	52	the	the	DET
cana-1092	113	53	image	image	NOUN
cana-1092	113	54	of	of	ADP
cana-1092	113	55	a	a	DET
cana-1092	113	56	point	point	NOUN
cana-1092	113	57	p(x	p(x	PROPN
cana-1092	113	58	,	,	PUNCT
cana-1092	113	59	y	y	NOUN
cana-1092	113	60	)	)	PUNCT
cana-1092	113	61	is	be	AUX
cana-1092	113	62	p'(y,-x	p'(y,-x	ADJ
cana-1092	113	63	)	)	PUNCT
cana-1092	113	64	,	,	PUNCT
cana-1092	113	65	then	then	ADV
cana-1092	113	66	p'(x',y')=	p'(x',y')=	PROPN
cana-1092	113	67	p'(y,-x	p'(y,-x	NOUN
cana-1092	113	68	)	)	PUNCT
cana-1092	113	69	.	.	PUNCT
cana-1092	114	1	the	the	DET
cana-1092	114	2	matrix	matrix	NOUN
cana-1092	114	3	form	form	NOUN
cana-1092	114	4	is	be	AUX
cana-1092	114	5	expressed	express	VERB
cana-1092	114	6	as	as	SCONJ
cana-1092	114	7	follows	follow	VERB
cana-1092	114	8	:	:	PUNCT
cana-1092	114	9	x	x	X
cana-1092	114	10	'	'	PUNCT
cana-1092	114	11	=	=	SYM
cana-1092	114	12	y=0×x	y=0×x	PROPN
cana-1092	115	1	+1	+1	INTJ
cana-1092	115	2	×	×	NOUN
cana-1092	115	3	y	y	PROPN
cana-1092	115	4	y	y	NOUN
cana-1092	115	5	'	'	PUNCT
cana-1092	115	6	=	=	NOUN
cana-1092	115	7	x	x	SYM
cana-1092	115	8	=	=	SYM
cana-1092	115	9	(	(	PUNCT
cana-1092	115	10	-1	-1	INTJ
cana-1092	115	11	)	)	PUNCT
cana-1092	115	12	×	×	NOUN
cana-1092	115	13	x	x	PUNCT
cana-1092	116	1	+	+	CCONJ
cana-1092	116	2	0×	0×	ADJ
cana-1092	116	3	y	y	PROPN
cana-1092	116	4	(	(	PUNCT
cana-1092	116	5	𝑥′	𝑥′	X
cana-1092	116	6	𝑦′	𝑦′	X
cana-1092	116	7	)	)	PUNCT
cana-1092	117	1	=	=	PUNCT
cana-1092	117	2	(	(	PUNCT
cana-1092	117	3	0	0	NUM
cana-1092	117	4	1	1	NUM
cana-1092	117	5	−1	−1	NOUN
cana-1092	117	6	0	0	NUM
cana-1092	117	7	)	)	PUNCT
cana-1092	117	8	.	.	PUNCT
cana-1092	118	1	(	(	PUNCT
cana-1092	118	2	𝑥	𝑥	NOUN
cana-1092	118	3	𝑦	𝑦	X
cana-1092	118	4	)	)	PUNCT
cana-1092	118	5	it	it	PRON
cana-1092	118	6	demonstrates	demonstrate	VERB
cana-1092	118	7	that	that	SCONJ
cana-1092	118	8	the	the	DET
cana-1092	118	9	2×2	2×2	NUM
cana-1092	118	10	matrix	matrix	NOUN
cana-1092	118	11	of	of	ADP
cana-1092	118	12	an	an	DET
cana-1092	118	13	object	object	NOUN
cana-1092	118	14	's	's	PART
cana-1092	118	15	rotation	rotation	NOUN
cana-1092	118	16	clockwise	clockwise	NOUN
cana-1092	118	17	(	(	PUNCT
cana-1092	118	18	negative	negative	ADJ
cana-1092	118	19	)	)	PUNCT
cana-1092	118	20	about	about	ADV
cana-1092	118	21	900	900	NUM
cana-1092	118	22	or	or	CCONJ
cana-1092	118	23	anticlockwise	anticlockwise	NOUN
cana-1092	118	24	(	(	PUNCT
cana-1092	118	25	positive	positive	ADJ
cana-1092	118	26	)	)	PUNCT
cana-1092	118	27	about	about	ADV
cana-1092	118	28	2700	2700	NUM
cana-1092	118	29	is	be	AUX
cana-1092	118	30	(	(	PUNCT
cana-1092	118	31	0	0	NUM
cana-1092	118	32	1	1	NUM
cana-1092	118	33	−1	−1	NOUN
cana-1092	118	34	0	0	NUM
cana-1092	118	35	)	)	PUNCT
cana-1092	118	36	.	.	PUNCT
cana-1092	119	1	the	the	DET
cana-1092	119	2	image	image	NOUN
cana-1092	119	3	below	below	ADV
cana-1092	119	4	shows	show	VERB
cana-1092	119	5	a	a	DET
cana-1092	119	6	rotation	rotation	NOUN
cana-1092	119	7	clockwise	clockwise	NOUN
cana-1092	119	8	(	(	PUNCT
cana-1092	119	9	negative	negative	ADJ
cana-1092	119	10	)	)	PUNCT
cana-1092	119	11	about	about	ADV
cana-1092	119	12	900	900	NUM
cana-1092	119	13	or	or	CCONJ
cana-1092	119	14	or	or	CCONJ
cana-1092	119	15	anticlockwise	anticlockwise	NOUN
cana-1092	119	16	(	(	PUNCT
cana-1092	119	17	positive	positive	ADJ
cana-1092	119	18	)	)	PUNCT
cana-1092	119	19	about	about	ADV
cana-1092	119	20	2700	2700	NUM
cana-1092	119	21	of	of	ADP
cana-1092	119	22	the	the	DET
cana-1092	119	23	aashtimki	aashtimki	ADJ
cana-1092	119	24	painting	painting	NOUN
cana-1092	119	25	:	:	PUNCT
cana-1092	119	26	communications	communication	NOUN
cana-1092	119	27	on	on	ADP
cana-1092	119	28	applied	apply	VERB
cana-1092	119	29	nonlinear	nonlinear	ADJ
cana-1092	119	30	analysis	analysis	NOUN
cana-1092	119	31	issn	issn	NOUN
cana-1092	119	32	:	:	PUNCT
cana-1092	119	33	1074	1074	NUM
cana-1092	119	34	-	-	PUNCT
cana-1092	119	35	133x	133x	NUM
cana-1092	119	36	vol	vol	NOUN
cana-1092	119	37	31	31	NUM
cana-1092	119	38	no	no	NOUN
cana-1092	119	39	.	.	PUNCT
cana-1092	120	1	5s	5s	NUM
cana-1092	120	2	(	(	PUNCT
cana-1092	120	3	2024	2024	NUM
cana-1092	120	4	)	)	PUNCT
cana-1092	120	5	578	578	NUM
cana-1092	120	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1092	120	7	for	for	ADP
cana-1092	120	8	rotation	rotation	NOUN
cana-1092	120	9	clockwise	clockwise	NOUN
cana-1092	120	10	(	(	PUNCT
cana-1092	120	11	negative	negative	ADJ
cana-1092	120	12	)	)	PUNCT
cana-1092	120	13	about	about	ADV
cana-1092	120	14	1800	1800	NUM
cana-1092	120	15	or	or	CCONJ
cana-1092	120	16	rotation	rotation	NOUN
cana-1092	120	17	anticlockwise	anticlockwise	NOUN
cana-1092	120	18	(	(	PUNCT
cana-1092	120	19	positive	positive	ADJ
cana-1092	120	20	)	)	PUNCT
cana-1092	120	21	about	about	ADP
cana-1092	120	22	1800	1800	NUM
cana-1092	120	23	,	,	PUNCT
cana-1092	120	24	if	if	SCONJ
cana-1092	120	25	the	the	DET
cana-1092	120	26	image	image	NOUN
cana-1092	120	27	of	of	ADP
cana-1092	120	28	a	a	DET
cana-1092	120	29	point	point	NOUN
cana-1092	120	30	p(x	p(x	PROPN
cana-1092	120	31	,	,	PUNCT
cana-1092	120	32	y	y	NOUN
cana-1092	120	33	)	)	PUNCT
cana-1092	120	34	is	be	AUX
cana-1092	120	35	p'(-x,-y	p'(-x,-y	ADJ
cana-1092	120	36	)	)	PUNCT
cana-1092	120	37	,	,	PUNCT
cana-1092	120	38	then	then	ADV
cana-1092	120	39	p'(x',y')=	p'(x',y')=	PROPN
cana-1092	120	40	p'(-x,-y	p'(-x,-y	VERB
cana-1092	120	41	)	)	PUNCT
cana-1092	120	42	.	.	PUNCT
cana-1092	121	1	the	the	DET
cana-1092	121	2	matrix	matrix	NOUN
cana-1092	121	3	form	form	NOUN
cana-1092	121	4	is	be	AUX
cana-1092	121	5	expressed	express	VERB
cana-1092	121	6	as	as	SCONJ
cana-1092	121	7	follows	follow	VERB
cana-1092	121	8	:	:	PUNCT
cana-1092	121	9	x	x	X
cana-1092	121	10	'	'	PUNCT
cana-1092	121	11	=	=	SYM
cana-1092	122	1	-x=	-x=	PROPN
cana-1092	122	2	(	(	PUNCT
cana-1092	122	3	-1	-1	INTJ
cana-1092	122	4	)	)	PUNCT
cana-1092	122	5	×x	×x	VERB
cana-1092	122	6	+0×	+0×	X
cana-1092	122	7	y	y	PROPN
cana-1092	122	8	y	y	NOUN
cana-1092	122	9	'	'	PUNCT
cana-1092	122	10	=	=	NOUN
cana-1092	122	11	x	x	SYM
cana-1092	122	12	=	=	SYM
cana-1092	122	13	0	0	NUM
cana-1092	122	14	×	×	NOUN
cana-1092	122	15	x	x	X
cana-1092	122	16	+	+	CCONJ
cana-1092	122	17	(	(	PUNCT
cana-1092	122	18	-1	-1	INTJ
cana-1092	122	19	)	)	PUNCT
cana-1092	122	20	×	×	PROPN
cana-1092	122	21	y	y	PROPN
cana-1092	122	22	(	(	PUNCT
cana-1092	122	23	𝑥′	𝑥′	X
cana-1092	122	24	𝑦′	𝑦′	X
cana-1092	122	25	)	)	PUNCT
cana-1092	122	26	=	=	PRON
cana-1092	122	27	(	(	PUNCT
cana-1092	122	28	−1	−1	NOUN
cana-1092	122	29	0	0	NUM
cana-1092	122	30	0	0	NUM
cana-1092	122	31	−1	−1	NOUN
cana-1092	122	32	)	)	PUNCT
cana-1092	122	33	.	.	PUNCT
cana-1092	123	1	(	(	PUNCT
cana-1092	123	2	𝑥	𝑥	NOUN
cana-1092	123	3	𝑦	𝑦	X
cana-1092	123	4	)	)	PUNCT
cana-1092	123	5	it	it	PRON
cana-1092	123	6	demonstrates	demonstrate	VERB
cana-1092	123	7	that	that	SCONJ
cana-1092	123	8	the	the	DET
cana-1092	123	9	2×2	2×2	NUM
cana-1092	123	10	matrix	matrix	NOUN
cana-1092	123	11	of	of	ADP
cana-1092	123	12	an	an	DET
cana-1092	123	13	object	object	NOUN
cana-1092	123	14	's	's	PART
cana-1092	123	15	rotation	rotation	NOUN
cana-1092	123	16	clockwise	clockwise	NOUN
cana-1092	123	17	(	(	PUNCT
cana-1092	123	18	negative	negative	ADJ
cana-1092	123	19	)	)	PUNCT
cana-1092	123	20	about	about	ADV
cana-1092	123	21	1800	1800	NUM
cana-1092	123	22	or	or	CCONJ
cana-1092	123	23	rotation	rotation	NOUN
cana-1092	123	24	anticlockwise	anticlockwise	NOUN
cana-1092	123	25	(	(	PUNCT
cana-1092	123	26	positive	positive	ADJ
cana-1092	123	27	)	)	PUNCT
cana-1092	123	28	about	about	ADP
cana-1092	123	29	1800	1800	NUM
cana-1092	123	30	is	be	AUX
cana-1092	123	31	(	(	PUNCT
cana-1092	123	32	−1	−1	NOUN
cana-1092	123	33	0	0	NUM
cana-1092	123	34	0	0	NUM
cana-1092	123	35	−1	−1	NOUN
cana-1092	123	36	)	)	PUNCT
cana-1092	123	37	.	.	PUNCT
cana-1092	124	1	the	the	DET
cana-1092	124	2	image	image	NOUN
cana-1092	124	3	below	below	ADV
cana-1092	124	4	shows	show	VERB
cana-1092	124	5	a	a	DET
cana-1092	124	6	rotation	rotation	NOUN
cana-1092	124	7	clockwise	clockwise	NOUN
cana-1092	124	8	(	(	PUNCT
cana-1092	124	9	negative	negative	ADJ
cana-1092	124	10	)	)	PUNCT
cana-1092	124	11	about	about	ADV
cana-1092	124	12	1800	1800	NUM
cana-1092	124	13	or	or	CCONJ
cana-1092	124	14	rotation	rotation	NOUN
cana-1092	124	15	anticlockwise	anticlockwise	NOUN
cana-1092	124	16	(	(	PUNCT
cana-1092	124	17	positive	positive	ADJ
cana-1092	124	18	)	)	PUNCT
cana-1092	124	19	about	about	ADP
cana-1092	124	20	1800	1800	NUM
cana-1092	124	21	of	of	ADP
cana-1092	124	22	the	the	DET
cana-1092	124	23	aashtimki	aashtimki	ADJ
cana-1092	124	24	painting	painting	NOUN
cana-1092	124	25	:	:	PUNCT
cana-1092	124	26	translation	translation	NOUN
cana-1092	124	27	:	:	PUNCT
cana-1092	124	28	a	a	DET
cana-1092	124	29	geometric	geometric	ADJ
cana-1092	124	30	translation	translation	NOUN
cana-1092	124	31	is	be	AUX
cana-1092	124	32	the	the	DET
cana-1092	124	33	movement	movement	NOUN
cana-1092	124	34	of	of	ADP
cana-1092	124	35	a	a	DET
cana-1092	124	36	point	point	NOUN
cana-1092	124	37	,	,	PUNCT
cana-1092	124	38	line	line	NOUN
cana-1092	124	39	,	,	PUNCT
cana-1092	124	40	or	or	CCONJ
cana-1092	124	41	figure	figure	VERB
cana-1092	124	42	on	on	ADP
cana-1092	124	43	a	a	DET
cana-1092	124	44	two	two	NUM
cana-1092	124	45	-	-	PUNCT
cana-1092	124	46	dimensional	dimensional	ADJ
cana-1092	124	47	surface	surface	NOUN
cana-1092	124	48	.	.	PUNCT
cana-1092	125	1	translation	translation	NOUN
cana-1092	125	2	is	be	AUX
cana-1092	125	3	defined	define	VERB
cana-1092	125	4	as	as	ADP
cana-1092	125	5	"	"	PUNCT
cana-1092	125	6	moving	move	VERB
cana-1092	125	7	each	each	DET
cana-1092	125	8	point	point	NOUN
cana-1092	125	9	of	of	ADP
cana-1092	125	10	an	an	DET
cana-1092	125	11	object	object	NOUN
cana-1092	125	12	the	the	DET
cana-1092	125	13	same	same	ADJ
cana-1092	125	14	distance	distance	NOUN
cana-1092	125	15	and	and	CCONJ
cana-1092	125	16	in	in	ADP
cana-1092	125	17	the	the	DET
cana-1092	125	18	same	same	ADJ
cana-1092	125	19	direction	direction	NOUN
cana-1092	125	20	.	.	PUNCT
cana-1092	125	21	"	"	PUNCT
cana-1092	126	1	the	the	DET
cana-1092	126	2	translation	translation	NOUN
cana-1092	126	3	,	,	PUNCT
cana-1092	126	4	often	often	ADV
cana-1092	126	5	known	know	VERB
cana-1092	126	6	as	as	ADP
cana-1092	126	7	a	a	DET
cana-1092	126	8	slide	slide	NOUN
cana-1092	126	9	or	or	CCONJ
cana-1092	126	10	a	a	DET
cana-1092	126	11	shift	shift	NOUN
cana-1092	126	12	,	,	PUNCT
cana-1092	126	13	is	be	AUX
cana-1092	126	14	the	the	DET
cana-1092	126	15	most	most	ADV
cana-1092	126	16	basic	basic	ADJ
cana-1092	126	17	transformation	transformation	NOUN
cana-1092	126	18	.	.	PUNCT
cana-1092	127	1	the	the	DET
cana-1092	127	2	symbols	symbol	NOUN
cana-1092	127	3	for	for	ADP
cana-1092	127	4	a	a	DET
cana-1092	127	5	point	point	NOUN
cana-1092	127	6	translation	translation	NOUN
cana-1092	127	7	are	be	AUX
cana-1092	127	8	a	a	DET
cana-1092	127	9	→	→	SYM
cana-1092	127	10	a′.	a′.	NOUN
cana-1092	127	11	the	the	DET
cana-1092	127	12	arrow	arrow	NOUN
cana-1092	127	13	denotes	denote	NOUN
cana-1092	127	14	that	that	SCONJ
cana-1092	127	15	the	the	DET
cana-1092	127	16	point	point	NOUN
cana-1092	127	17	a	a	PRON
cana-1092	127	18	is	be	AUX
cana-1092	127	19	being	be	AUX
cana-1092	127	20	relocated	relocate	VERB
cana-1092	127	21	to	to	ADP
cana-1092	127	22	a	a	DET
cana-1092	127	23	new	new	ADJ
cana-1092	127	24	location	location	NOUN
cana-1092	127	25	designated	designate	VERB
cana-1092	127	26	a	a	DET
cana-1092	127	27	prime	prime	NOUN
cana-1092	127	28	(	(	PUNCT
cana-1092	127	29	a′	a′	PROPN
cana-1092	127	30	)	)	PUNCT
cana-1092	127	31	.	.	PUNCT
cana-1092	128	1	on	on	ADP
cana-1092	128	2	a	a	DET
cana-1092	128	3	graph	graph	NOUN
cana-1092	128	4	,	,	PUNCT
cana-1092	128	5	an	an	DET
cana-1092	128	6	arrow	arrow	NOUN
cana-1092	128	7	can	can	AUX
cana-1092	128	8	be	be	AUX
cana-1092	128	9	drawn	draw	VERB
cana-1092	128	10	to	to	PART
cana-1092	128	11	show	show	VERB
cana-1092	128	12	the	the	DET
cana-1092	128	13	direction	direction	NOUN
cana-1092	128	14	of	of	ADP
cana-1092	128	15	an	an	DET
cana-1092	128	16	object	object	NOUN
cana-1092	128	17	's	's	PART
cana-1092	128	18	movement	movement	NOUN
cana-1092	128	19	,	,	PUNCT
cana-1092	128	20	and	and	CCONJ
cana-1092	128	21	the	the	DET
cana-1092	128	22	shaft	shaft	NOUN
cana-1092	128	23	of	of	ADP
cana-1092	128	24	the	the	DET
cana-1092	128	25	arrow	arrow	NOUN
cana-1092	128	26	represents	represent	VERB
cana-1092	128	27	the	the	DET
cana-1092	128	28	planned	plan	VERB
cana-1092	128	29	distance	distance	NOUN
cana-1092	128	30	of	of	ADP
cana-1092	128	31	the	the	DET
cana-1092	128	32	movement	movement	NOUN
cana-1092	128	33	.	.	PUNCT
cana-1092	129	1	communications	communication	NOUN
cana-1092	129	2	on	on	ADP
cana-1092	129	3	applied	apply	VERB
cana-1092	129	4	nonlinear	nonlinear	ADJ
cana-1092	129	5	analysis	analysis	NOUN
cana-1092	129	6	issn	issn	NOUN
cana-1092	129	7	:	:	PUNCT
cana-1092	129	8	1074	1074	NUM
cana-1092	129	9	-	-	PUNCT
cana-1092	129	10	133x	133x	NUM
cana-1092	129	11	vol	vol	NOUN
cana-1092	129	12	31	31	NUM
cana-1092	129	13	no	no	NOUN
cana-1092	129	14	.	.	PUNCT
cana-1092	130	1	5s	5s	NUM
cana-1092	130	2	(	(	PUNCT
cana-1092	130	3	2024	2024	NUM
cana-1092	130	4	)	)	PUNCT
cana-1092	130	5	579	579	NUM
cana-1092	130	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1092	130	7	the	the	DET
cana-1092	130	8	image	image	NOUN
cana-1092	130	9	of	of	ADP
cana-1092	130	10	a	a	DET
cana-1092	130	11	point	point	NOUN
cana-1092	130	12	p(x	p(x	PROPN
cana-1092	130	13	,	,	PUNCT
cana-1092	130	14	y	y	NOUN
cana-1092	130	15	)	)	PUNCT
cana-1092	130	16	translated	translate	VERB
cana-1092	130	17	by	by	ADP
cana-1092	130	18	(	(	PUNCT
cana-1092	130	19	𝑎	𝑎	PROPN
cana-1092	130	20	𝑏	𝑏	NOUN
cana-1092	130	21	)	)	PUNCT
cana-1092	130	22	indicates	indicate	VERB
cana-1092	130	23	the	the	DET
cana-1092	130	24	object	object	NOUN
cana-1092	130	25	moves	move	VERB
cana-1092	130	26	a	a	DET
cana-1092	130	27	unit	unit	NOUN
cana-1092	130	28	right	right	ADV
cana-1092	130	29	or	or	CCONJ
cana-1092	130	30	left	leave	VERB
cana-1092	130	31	according	accord	VERB
cana-1092	130	32	to	to	ADP
cana-1092	130	33	the	the	DET
cana-1092	130	34	sign	sign	NOUN
cana-1092	130	35	of	of	ADP
cana-1092	130	36	a	a	DET
cana-1092	130	37	and	and	CCONJ
cana-1092	130	38	b	b	NOUN
cana-1092	130	39	unit	unit	NOUN
cana-1092	130	40	up	up	ADV
cana-1092	130	41	or	or	CCONJ
cana-1092	130	42	down	down	ADV
cana-1092	130	43	according	accord	VERB
cana-1092	130	44	to	to	ADP
cana-1092	130	45	the	the	DET
cana-1092	130	46	sign	sign	NOUN
cana-1092	130	47	of	of	ADP
cana-1092	130	48	b	b	NOUN
cana-1092	130	49	,	,	PUNCT
cana-1092	130	50	and	and	CCONJ
cana-1092	130	51	its	its	PRON
cana-1092	130	52	final	final	ADJ
cana-1092	130	53	image	image	NOUN
cana-1092	130	54	is	be	AUX
cana-1092	130	55	p'(x	p'(x	VERB
cana-1092	130	56	+	+	ADV
cana-1092	130	57	a	a	X
cana-1092	130	58	,	,	PUNCT
cana-1092	130	59	y	y	PROPN
cana-1092	130	60	+	+	PROPN
cana-1092	130	61	b	b	NOUN
cana-1092	130	62	)	)	PUNCT
cana-1092	130	63	.	.	PUNCT
cana-1092	131	1	so	so	ADV
cana-1092	131	2	,	,	PUNCT
cana-1092	131	3	a	a	DET
cana-1092	131	4	point	point	NOUN
cana-1092	131	5	p(x	p(x	PROPN
cana-1092	131	6	,	,	PUNCT
cana-1092	131	7	y	y	NOUN
cana-1092	131	8	)	)	PUNCT
cana-1092	131	9	translated	translate	VERB
cana-1092	131	10	by	by	ADP
cana-1092	131	11	translation	translation	NOUN
cana-1092	131	12	vector	vector	NOUN
cana-1092	131	13	(	(	PUNCT
cana-1092	131	14	𝑎	𝑎	NOUN
cana-1092	131	15	𝑏	𝑏	NOUN
cana-1092	131	16	)	)	PUNCT
cana-1092	131	17	is	be	AUX
cana-1092	131	18	p'(x	p'(x	ADJ
cana-1092	131	19	+	+	ADV
cana-1092	131	20	a	a	PRON
cana-1092	131	21	,	,	PUNCT
cana-1092	131	22	y+b	y+b	NUM
cana-1092	131	23	)	)	PUNCT
cana-1092	131	24	.	.	PUNCT
cana-1092	132	1	𝑃(𝑥	𝑃(𝑥	PRON
cana-1092	132	2	,	,	PUNCT
cana-1092	132	3	𝑦	𝑦	NOUN
cana-1092	132	4	)	)	PUNCT
cana-1092	132	5	→	→	SYM
cana-1092	132	6	𝑃′(𝑥	𝑃′(𝑥	PROPN
cana-1092	132	7	+	+	CCONJ
cana-1092	132	8	𝑎	𝑎	X
cana-1092	132	9	,	,	PUNCT
cana-1092	132	10	𝑦	𝑦	NOUN
cana-1092	132	11	+	+	X
cana-1092	132	12	𝑏	𝑏	NOUN
cana-1092	132	13	)	)	PUNCT
cana-1092	132	14	the	the	DET
cana-1092	132	15	following	follow	VERB
cana-1092	132	16	image	image	NOUN
cana-1092	132	17	is	be	AUX
cana-1092	132	18	a	a	DET
cana-1092	132	19	translation	translation	NOUN
cana-1092	132	20	of	of	ADP
cana-1092	132	21	the	the	DET
cana-1092	132	22	aashtimki	aashtimki	ADJ
cana-1092	132	23	painting	painting	NOUN
cana-1092	132	24	:	:	PUNCT
cana-1092	132	25	dilation	dilation	NOUN
cana-1092	132	26	:	:	PUNCT
cana-1092	132	27	dilation	dilation	NOUN
cana-1092	132	28	is	be	AUX
cana-1092	132	29	a	a	DET
cana-1092	132	30	transformation	transformation	NOUN
cana-1092	132	31	that	that	PRON
cana-1092	132	32	either	either	CCONJ
cana-1092	132	33	decreases	decrease	VERB
cana-1092	132	34	or	or	CCONJ
cana-1092	132	35	increases	increase	VERB
cana-1092	132	36	the	the	DET
cana-1092	132	37	size	size	NOUN
cana-1092	132	38	of	of	ADP
cana-1092	132	39	a	a	DET
cana-1092	132	40	figure	figure	NOUN
cana-1092	132	41	.	.	PUNCT
cana-1092	133	1	dilation	dilation	NOUN
cana-1092	133	2	extends	extend	VERB
cana-1092	133	3	or	or	CCONJ
cana-1092	133	4	shrinks	shrink	VERB
cana-1092	133	5	the	the	DET
cana-1092	133	6	original	original	ADJ
cana-1092	133	7	figure	figure	NOUN
cana-1092	133	8	and	and	CCONJ
cana-1092	133	9	changes	change	VERB
cana-1092	133	10	the	the	DET
cana-1092	133	11	size	size	NOUN
cana-1092	133	12	of	of	ADP
cana-1092	133	13	the	the	DET
cana-1092	133	14	preimage	preimage	NOUN
cana-1092	133	15	;	;	PUNCT
cana-1092	133	16	thus	thus	ADV
cana-1092	133	17	,	,	PUNCT
cana-1092	133	18	it	it	PRON
cana-1092	133	19	is	be	AUX
cana-1092	133	20	not	not	PART
cana-1092	133	21	rigid	rigid	ADJ
cana-1092	133	22	because	because	SCONJ
cana-1092	133	23	it	it	PRON
cana-1092	133	24	does	do	AUX
cana-1092	133	25	not	not	PART
cana-1092	133	26	meet	meet	VERB
cana-1092	133	27	the	the	DET
cana-1092	133	28	criteria	criterion	NOUN
cana-1092	133	29	that	that	SCONJ
cana-1092	133	30	the	the	DET
cana-1092	133	31	image	image	NOUN
cana-1092	133	32	is	be	AUX
cana-1092	133	33	congruent	congruent	ADJ
cana-1092	133	34	to	to	ADP
cana-1092	133	35	the	the	DET
cana-1092	133	36	preimage	preimage	NOUN
cana-1092	133	37	.	.	PUNCT
cana-1092	134	1	dilation	dilation	NOUN
cana-1092	134	2	is	be	AUX
cana-1092	134	3	a	a	DET
cana-1092	134	4	similarity	similarity	NOUN
cana-1092	134	5	transformation	transformation	NOUN
cana-1092	134	6	in	in	ADP
cana-1092	134	7	which	which	PRON
cana-1092	134	8	a	a	DET
cana-1092	134	9	two	two	NUM
cana-1092	134	10	-	-	PUNCT
cana-1092	134	11	dimensional	dimensional	ADJ
cana-1092	134	12	figure	figure	NOUN
cana-1092	134	13	is	be	AUX
cana-1092	134	14	reduced	reduce	VERB
cana-1092	134	15	or	or	CCONJ
cana-1092	134	16	extended	extend	VERB
cana-1092	134	17	by	by	ADP
cana-1092	134	18	a	a	DET
cana-1092	134	19	scale	scale	NOUN
cana-1092	134	20	factor	factor	NOUN
cana-1092	134	21	(	(	PUNCT
cana-1092	134	22	≠	≠	PROPN
cana-1092	134	23	0	0	NUM
cana-1092	134	24	)	)	PUNCT
cana-1092	134	25	,	,	PUNCT
cana-1092	134	26	but	but	CCONJ
cana-1092	134	27	the	the	DET
cana-1092	134	28	center	center	NOUN
cana-1092	134	29	of	of	ADP
cana-1092	134	30	dilation	dilation	NOUN
cana-1092	134	31	remains	remain	VERB
cana-1092	134	32	unchanged	unchanged	ADJ
cana-1092	134	33	.	.	PUNCT
cana-1092	135	1	so	so	ADV
cana-1092	135	2	,	,	PUNCT
cana-1092	135	3	if	if	SCONJ
cana-1092	135	4	the	the	DET
cana-1092	135	5	image	image	NOUN
cana-1092	135	6	is	be	AUX
cana-1092	135	7	enlarged	enlarge	VERB
cana-1092	135	8	,	,	PUNCT
cana-1092	135	9	it	it	PRON
cana-1092	135	10	is	be	AUX
cana-1092	135	11	called	call	VERB
cana-1092	135	12	enlargement	enlargement	NOUN
cana-1092	135	13	,	,	PUNCT
cana-1092	135	14	and	and	CCONJ
cana-1092	135	15	if	if	SCONJ
cana-1092	135	16	it	it	PRON
cana-1092	135	17	is	be	AUX
cana-1092	135	18	reduced	reduce	VERB
cana-1092	135	19	,	,	PUNCT
cana-1092	135	20	it	it	PRON
cana-1092	135	21	is	be	AUX
cana-1092	135	22	called	call	VERB
cana-1092	135	23	reduction	reduction	NOUN
cana-1092	135	24	.	.	PUNCT
cana-1092	136	1	the	the	DET
cana-1092	136	2	dilation	dilation	NOUN
cana-1092	136	3	of	of	ADP
cana-1092	136	4	a	a	DET
cana-1092	136	5	point	point	NOUN
cana-1092	136	6	p(x	p(x	PROPN
cana-1092	136	7	,	,	PUNCT
cana-1092	136	8	y	y	NOUN
cana-1092	136	9	)	)	PUNCT
cana-1092	136	10	by	by	ADP
cana-1092	136	11	scale	scale	NOUN
cana-1092	136	12	factor	factor	NOUN
cana-1092	136	13	(	(	PUNCT
cana-1092	136	14	k≠0	k≠0	PROPN
cana-1092	136	15	)	)	PUNCT
cana-1092	136	16	with	with	ADP
cana-1092	136	17	center	center	NOUN
cana-1092	136	18	(	(	PUNCT
cana-1092	136	19	0,0	0,0	NOUN
cana-1092	136	20	)	)	PUNCT
cana-1092	136	21	means	mean	VERB
cana-1092	136	22	that	that	SCONJ
cana-1092	136	23	the	the	DET
cana-1092	136	24	image	image	NOUN
cana-1092	136	25	is	be	AUX
cana-1092	136	26	k	k	PROPN
cana-1092	136	27	times	time	NOUN
cana-1092	136	28	larger	large	ADJ
cana-1092	136	29	or	or	CCONJ
cana-1092	136	30	smaller	small	ADJ
cana-1092	136	31	than	than	ADP
cana-1092	136	32	the	the	DET
cana-1092	136	33	object	object	NOUN
cana-1092	136	34	and	and	CCONJ
cana-1092	136	35	its	its	PRON
cana-1092	136	36	final	final	ADJ
cana-1092	136	37	image	image	NOUN
cana-1092	136	38	is	be	AUX
cana-1092	136	39	p'(kx	p'(kx	PROPN
cana-1092	136	40	,	,	PUNCT
cana-1092	136	41	ky	ky	PROPN
cana-1092	136	42	)	)	PUNCT
cana-1092	136	43	.	.	PUNCT
cana-1092	137	1	so	so	ADV
cana-1092	137	2	,	,	PUNCT
cana-1092	137	3	the	the	DET
cana-1092	137	4	dilation	dilation	NOUN
cana-1092	137	5	of	of	ADP
cana-1092	137	6	a	a	DET
cana-1092	137	7	point	point	NOUN
cana-1092	137	8	p(x	p(x	PROPN
cana-1092	137	9	,	,	PUNCT
cana-1092	137	10	y	y	NOUN
cana-1092	137	11	)	)	PUNCT
cana-1092	137	12	by	by	ADP
cana-1092	137	13	scale	scale	NOUN
cana-1092	137	14	factor	factor	NOUN
cana-1092	137	15	k	k	PROPN
cana-1092	137	16	with	with	ADP
cana-1092	137	17	center	center	NOUN
cana-1092	137	18	(	(	PUNCT
cana-1092	137	19	0,0	0,0	NOUN
cana-1092	137	20	)	)	PUNCT
cana-1092	137	21	is	be	AUX
cana-1092	137	22	p'(kx	p'(kx	PROPN
cana-1092	137	23	,	,	PUNCT
cana-1092	137	24	ky	ky	PROPN
cana-1092	137	25	)	)	PUNCT
cana-1092	137	26	.	.	PUNCT
cana-1092	138	1	𝑃(𝑥	𝑃(𝑥	PRON
cana-1092	138	2	,	,	PUNCT
cana-1092	138	3	𝑦	𝑦	NOUN
cana-1092	138	4	)	)	PUNCT
cana-1092	138	5	→	→	SYM
cana-1092	138	6	(	(	PUNCT
cana-1092	138	7	𝑘𝑥	𝑘𝑥	NOUN
cana-1092	138	8	,	,	PUNCT
cana-1092	138	9	𝑘𝑦	𝑘𝑦	PROPN
cana-1092	138	10	)	)	PUNCT
cana-1092	138	11	the	the	DET
cana-1092	138	12	following	follow	VERB
cana-1092	138	13	image	image	NOUN
cana-1092	138	14	is	be	AUX
cana-1092	138	15	a	a	DET
cana-1092	138	16	dilation	dilation	NOUN
cana-1092	138	17	of	of	ADP
cana-1092	138	18	the	the	DET
cana-1092	138	19	aashtimki	aashtimki	ADJ
cana-1092	138	20	painting	painting	NOUN
cana-1092	138	21	:	:	PUNCT
cana-1092	138	22	communications	communication	NOUN
cana-1092	138	23	on	on	ADP
cana-1092	138	24	applied	apply	VERB
cana-1092	138	25	nonlinear	nonlinear	ADJ
cana-1092	138	26	analysis	analysis	NOUN
cana-1092	138	27	issn	issn	NOUN
cana-1092	138	28	:	:	PUNCT
cana-1092	138	29	1074	1074	NUM
cana-1092	138	30	-	-	PUNCT
cana-1092	138	31	133x	133x	NUM
cana-1092	138	32	vol	vol	NOUN
cana-1092	138	33	31	31	NUM
cana-1092	138	34	no	no	NOUN
cana-1092	138	35	.	.	PUNCT
cana-1092	139	1	5s	5s	NUM
cana-1092	139	2	(	(	PUNCT
cana-1092	139	3	2024	2024	NUM
cana-1092	139	4	)	)	PUNCT
cana-1092	139	5	580	580	NUM
cana-1092	139	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1092	139	7	4	4	X
cana-1092	139	8	.	.	PUNCT
cana-1092	139	9	conclusion	conclusion	NOUN
cana-1092	139	10	we	we	PRON
cana-1092	139	11	find	find	VERB
cana-1092	139	12	that	that	SCONJ
cana-1092	139	13	mathematical	mathematical	ADJ
cana-1092	139	14	concepts	concept	NOUN
cana-1092	139	15	and	and	CCONJ
cana-1092	139	16	knowledge	knowledge	NOUN
cana-1092	139	17	are	be	AUX
cana-1092	139	18	used	use	VERB
cana-1092	139	19	implicitly	implicitly	ADV
cana-1092	139	20	by	by	ADP
cana-1092	139	21	the	the	DET
cana-1092	139	22	tharu	tharu	NOUN
cana-1092	139	23	in	in	ADP
cana-1092	139	24	their	their	PRON
cana-1092	139	25	actions	action	NOUN
cana-1092	139	26	.	.	PUNCT
cana-1092	140	1	tharu	tharu	PROPN
cana-1092	140	2	culture	culture	NOUN
cana-1092	140	3	has	have	VERB
cana-1092	140	4	a	a	DET
cana-1092	140	5	long	long	ADJ
cana-1092	140	6	history	history	NOUN
cana-1092	140	7	of	of	ADP
cana-1092	140	8	employing	employ	VERB
cana-1092	140	9	transformation	transformation	NOUN
cana-1092	140	10	geometry	geometry	NOUN
cana-1092	140	11	.	.	PUNCT
cana-1092	141	1	the	the	DET
cana-1092	141	2	transformation	transformation	NOUN
cana-1092	141	3	geometry	geometry	NOUN
cana-1092	141	4	techniques	technique	NOUN
cana-1092	141	5	employed	employ	VERB
cana-1092	141	6	in	in	ADP
cana-1092	141	7	the	the	DET
cana-1092	141	8	development	development	NOUN
cana-1092	141	9	of	of	ADP
cana-1092	141	10	the	the	DET
cana-1092	141	11	aashtimki	aashtimki	NOUN
cana-1092	141	12	painting	painting	NOUN
cana-1092	141	13	demonstrate	demonstrate	VERB
cana-1092	141	14	this	this	PRON
cana-1092	141	15	.	.	PUNCT
cana-1092	142	1	the	the	DET
cana-1092	142	2	aashtimki	aashtimki	NOUN
cana-1092	142	3	artwork	artwork	NOUN
cana-1092	142	4	clearly	clearly	ADV
cana-1092	142	5	shows	show	VERB
cana-1092	142	6	that	that	SCONJ
cana-1092	142	7	the	the	DET
cana-1092	142	8	purpose	purpose	NOUN
cana-1092	142	9	used	use	VERB
cana-1092	142	10	the	the	DET
cana-1092	142	11	principle	principle	NOUN
cana-1092	142	12	of	of	ADP
cana-1092	142	13	reflection	reflection	NOUN
cana-1092	142	14	,	,	PUNCT
cana-1092	142	15	rotation	rotation	NOUN
cana-1092	142	16	,	,	PUNCT
cana-1092	142	17	translation	translation	NOUN
cana-1092	142	18	,	,	PUNCT
cana-1092	142	19	and	and	CCONJ
cana-1092	142	20	dilation	dilation	NOUN
cana-1092	142	21	of	of	ADP
cana-1092	142	22	transformation	transformation	NOUN
cana-1092	142	23	,	,	PUNCT
cana-1092	142	24	which	which	PRON
cana-1092	142	25	are	be	AUX
cana-1092	142	26	all	all	PRON
cana-1092	142	27	examples	example	NOUN
cana-1092	142	28	of	of	ADP
cana-1092	142	29	fractals	fractal	NOUN
cana-1092	142	30	.	.	PUNCT
cana-1092	143	1	it	it	PRON
cana-1092	143	2	's	be	AUX
cana-1092	143	3	fascinating	fascinating	ADJ
cana-1092	143	4	to	to	PART
cana-1092	143	5	see	see	VERB
cana-1092	143	6	how	how	SCONJ
cana-1092	143	7	precise	precise	ADJ
cana-1092	143	8	their	their	PRON
cana-1092	143	9	calculations	calculation	NOUN
cana-1092	143	10	are	be	AUX
cana-1092	143	11	utilizing	utilize	VERB
cana-1092	143	12	simple	simple	ADJ
cana-1092	143	13	equipment	equipment	NOUN
cana-1092	143	14	of	of	ADP
cana-1092	143	15	the	the	DET
cana-1092	143	16	day	day	NOUN
cana-1092	143	17	,	,	PUNCT
cana-1092	143	18	which	which	PRON
cana-1092	143	19	necessitate	necessitate	ADJ
cana-1092	143	20	a	a	DET
cana-1092	143	21	mathematical	mathematical	ADJ
cana-1092	143	22	proficiency	proficiency	NOUN
cana-1092	143	23	sufficient	sufficient	ADJ
cana-1092	143	24	for	for	ADP
cana-1092	143	25	the	the	DET
cana-1092	143	26	painters	painter	NOUN
cana-1092	143	27	of	of	ADP
cana-1092	143	28	the	the	DET
cana-1092	143	29	day	day	NOUN
cana-1092	143	30	.	.	PUNCT
cana-1092	144	1	5	5	X
cana-1092	144	2	.	.	X
cana-1092	144	3	acknowledgement	acknowledgement	NOUN
cana-1092	144	4	i	i	PRON
cana-1092	144	5	am	be	AUX
cana-1092	144	6	thankful	thankful	ADJ
cana-1092	144	7	to	to	ADP
cana-1092	144	8	the	the	DET
cana-1092	144	9	respected	respect	VERB
cana-1092	144	10	professors	professor	NOUN
cana-1092	144	11	dinesh	dinesh	PROPN
cana-1092	144	12	panthi	panthi	PROPN
cana-1092	144	13	,	,	PUNCT
cana-1092	144	14	chet	chet	PROPN
cana-1092	144	15	raj	raj	PROPN
cana-1092	144	16	bhatta	bhatta	PROPN
cana-1092	144	17	and	and	CCONJ
cana-1092	144	18	dinesh	dinesh	PROPN
cana-1092	144	19	g.	g.	PROPN
cana-1092	144	20	sarvate	sarvate	NOUN
cana-1092	144	21	to	to	PART
cana-1092	144	22	prepare	prepare	VERB
cana-1092	144	23	the	the	DET
cana-1092	144	24	manuscript	manuscript	NOUN
cana-1092	144	25	and	and	CCONJ
cana-1092	144	26	also	also	ADV
cana-1092	144	27	to	to	ADP
cana-1092	144	28	the	the	DET
cana-1092	144	29	reviewers	reviewer	NOUN
cana-1092	144	30	to	to	PART
cana-1092	144	31	improve	improve	VERB
cana-1092	144	32	the	the	DET
cana-1092	144	33	manuscript	manuscript	NOUN
cana-1092	144	34	and	and	CCONJ
cana-1092	144	35	university	university	NOUN
cana-1092	144	36	grants	grant	NOUN
cana-1092	144	37	commission	commission	PROPN
cana-1092	144	38	,	,	PUNCT
cana-1092	144	39	nepal	nepal	NOUN
cana-1092	144	40	for	for	ADP
cana-1092	144	41	financial	financial	ADJ
cana-1092	144	42	support	support	NOUN
cana-1092	144	43	to	to	PART
cana-1092	144	44	publish	publish	VERB
cana-1092	144	45	the	the	DET
cana-1092	144	46	article	article	NOUN
cana-1092	144	47	.	.	PUNCT
cana-1092	145	1	references	reference	NOUN
cana-1092	145	2	[	[	X
cana-1092	145	3	1	1	NUM
cana-1092	145	4	]	]	X
cana-1092	145	5	bishop	bishop	PROPN
cana-1092	145	6	,	,	PUNCT
cana-1092	145	7	a.	a.	PROPN
cana-1092	145	8	j.	j.	PROPN
cana-1092	145	9	(	(	PUNCT
cana-1092	145	10	1991	1991	NUM
cana-1092	145	11	)	)	PUNCT
cana-1092	145	12	.	.	PUNCT
cana-1092	146	1	mathematical	mathematical	ADJ
cana-1092	146	2	enculturation	enculturation	NOUN
cana-1092	146	3	:	:	PUNCT
cana-1092	146	4	a	a	DET
cana-1092	146	5	cultural	cultural	ADJ
cana-1092	146	6	perspective	perspective	NOUN
cana-1092	146	7	on	on	ADP
cana-1092	146	8	mathematics	mathematic	NOUN
cana-1092	146	9	education	education	NOUN
cana-1092	146	10	.	.	PUNCT
cana-1092	147	1	kluwer	kluwer	NOUN
cana-1092	147	2	academic	academic	ADJ
cana-1092	147	3	publisher	publisher	NOUN
cana-1092	147	4	.	.	PUNCT
cana-1092	148	1	[	[	X
cana-1092	148	2	2	2	NUM
cana-1092	148	3	]	]	X
cana-1092	148	4	bansilal	bansilal	PROPN
cana-1092	148	5	,	,	PUNCT
cana-1092	148	6	s.	s.	PROPN
cana-1092	148	7	,	,	PUNCT
cana-1092	148	8	&	&	CCONJ
cana-1092	148	9	naidoo	naidoo	PROPN
cana-1092	148	10	,	,	PUNCT
cana-1092	148	11	j.	j.	PROPN
cana-1092	148	12	(	(	PUNCT
cana-1092	148	13	2012	2012	NUM
cana-1092	148	14	)	)	PUNCT
cana-1092	148	15	.	.	PUNCT
cana-1092	149	1	learners	learner	NOUN
cana-1092	149	2	engaging	engage	VERB
cana-1092	149	3	with	with	ADP
cana-1092	149	4	transformation	transformation	NOUN
cana-1092	149	5	geometry	geometry	NOUN
cana-1092	149	6	.	.	PUNCT
cana-1092	150	1	south	south	ADJ
cana-1092	150	2	african	african	ADJ
cana-1092	150	3	journal	journal	PROPN
cana-1092	150	4	of	of	ADP
cana-1092	150	5	education	education	NOUN
cana-1092	150	6	,	,	PUNCT
cana-1092	150	7	32(1	32(1	NUM
cana-1092	150	8	)	)	PUNCT
cana-1092	150	9	,	,	PUNCT
cana-1092	150	10	26–39	26–39	NUM
cana-1092	150	11	.	.	PUNCT
cana-1092	151	1	https://doi.org/10.15700/saje.v32n1a452	https://doi.org/10.15700/saje.v32n1a452	NOUN
cana-1092	151	2	[	[	X
cana-1092	151	3	3	3	NUM
cana-1092	151	4	]	]	PUNCT
cana-1092	151	5	boulter	boulter	NOUN
cana-1092	151	6	,	,	PUNCT
cana-1092	151	7	d.	d.	PROPN
cana-1092	151	8	,	,	PUNCT
cana-1092	151	9	&	&	CCONJ
cana-1092	151	10	kirby	kirby	PROPN
cana-1092	151	11	,	,	PUNCT
cana-1092	151	12	j.	j.	PROPN
cana-1092	151	13	(	(	PUNCT
cana-1092	151	14	1994	1994	NUM
cana-1092	151	15	)	)	PUNCT
cana-1092	151	16	.	.	PUNCT
cana-1092	152	1	identification	identification	NOUN
cana-1092	152	2	of	of	ADP
cana-1092	152	3	strategies	strategy	NOUN
cana-1092	152	4	used	use	VERB
cana-1092	152	5	in	in	ADP
cana-1092	152	6	solving	solve	VERB
cana-1092	152	7	transformational	transformational	ADJ
cana-1092	152	8	geometry	geometry	NOUN
cana-1092	152	9	problems	problem	NOUN
cana-1092	152	10	.	.	PUNCT
cana-1092	153	1	journal	journal	NOUN
cana-1092	153	2	of	of	ADP
cana-1092	153	3	educational	educational	ADJ
cana-1092	153	4	research	research	NOUN
cana-1092	153	5	,	,	PUNCT
cana-1092	153	6	87(5	87(5	NUM
cana-1092	153	7	)	)	PUNCT
cana-1092	153	8	,	,	PUNCT
cana-1092	153	9	298_303	298_303	NUM
cana-1092	153	10	.	.	PUNCT
cana-1092	154	1	[	[	X
cana-1092	154	2	4	4	NUM
cana-1092	154	3	]	]	X
cana-1092	154	4	chaudhary	chaudhary	PROPN
cana-1092	154	5	,	,	PUNCT
cana-1092	154	6	p.	p.	PROPN
cana-1092	154	7	r.	r.	PROPN
cana-1092	154	8	,	,	PUNCT
cana-1092	154	9	panthi	panthi	PROPN
cana-1092	154	10	,	,	PUNCT
cana-1092	154	11	d.	d.	PROPN
cana-1092	154	12	,	,	PUNCT
cana-1092	154	13	&	&	CCONJ
cana-1092	154	14	bhatta	bhatta	PROPN
cana-1092	154	15	,	,	PUNCT
cana-1092	154	16	c.	c.	PROPN
cana-1092	154	17	r.	r.	PROPN
cana-1092	154	18	(	(	PUNCT
cana-1092	154	19	2023	2023	NUM
cana-1092	154	20	)	)	PUNCT
cana-1092	154	21	.	.	PUNCT
cana-1092	155	1	ethnomathematics	ethnomathematic	NOUN
cana-1092	155	2	:	:	PUNCT
cana-1092	155	3	geometry	geometry	NOUN
cana-1092	155	4	and	and	CCONJ
cana-1092	155	5	architecture	architecture	NOUN
cana-1092	155	6	of	of	ADP
cana-1092	155	7	the	the	DET
cana-1092	155	8	tharu	tharu	NOUN
cana-1092	155	9	’s	’s	PART
cana-1092	155	10	traditional	traditional	ADJ
cana-1092	155	11	houses	house	NOUN
cana-1092	155	12	at	at	ADP
cana-1092	155	13	chakhoura	chakhoura	PROPN
cana-1092	155	14	museum	museum	PROPN
cana-1092	155	15	.	.	PUNCT
cana-1092	156	1	journal	journal	PROPN
cana-1092	156	2	of	of	ADP
cana-1092	156	3	mathematical	mathematical	ADJ
cana-1092	156	4	problems	problem	NOUN
cana-1092	156	5	,	,	PUNCT
cana-1092	156	6	equations	equation	NOUN
cana-1092	156	7	and	and	CCONJ
cana-1092	156	8	statistics	statistic	NOUN
cana-1092	156	9	.	.	PUNCT
cana-1092	157	1	https://doi.org/10.22271/math.2023.v4.i2a.96	https://doi.org/10.22271/math.2023.v4.i2a.96	PROPN
cana-1092	158	1	[	[	X
cana-1092	158	2	5	5	NUM
cana-1092	158	3	]	]	X
cana-1092	158	4	chaudhary	chaudhary	PROPN
cana-1092	158	5	,	,	PUNCT
cana-1092	158	6	p.	p.	PROPN
cana-1092	158	7	r.	r.	PROPN
cana-1092	158	8	,	,	PUNCT
cana-1092	158	9	panthi	panthi	PROPN
cana-1092	158	10	,	,	PUNCT
cana-1092	158	11	d.	d.	PROPN
cana-1092	158	12	,	,	PUNCT
cana-1092	158	13	&	&	CCONJ
cana-1092	158	14	bhatta	bhatta	PROPN
cana-1092	158	15	,	,	PUNCT
cana-1092	158	16	c.	c.	PROPN
cana-1092	158	17	r.	r.	PROPN
cana-1092	158	18	(	(	PUNCT
cana-1092	158	19	2023b	2023b	NUM
cana-1092	158	20	)	)	PUNCT
cana-1092	158	21	.	.	PUNCT
cana-1092	159	1	rolle	rolle	PROPN
cana-1092	159	2	's	's	PART
cana-1092	159	3	theorem	theorem	NOUN
cana-1092	159	4	and	and	CCONJ
cana-1092	159	5	its	its	PRON
cana-1092	159	6	application	application	NOUN
cana-1092	159	7	in	in	ADP
cana-1092	159	8	tharu	tharu	NOUN
cana-1092	159	9	's	's	PART
cana-1092	159	10	traditional	traditional	ADJ
cana-1092	159	11	house	house	NOUN
cana-1092	159	12	.	.	PUNCT
cana-1092	160	1	international	international	ADJ
cana-1092	160	2	journal	journal	PROPN
cana-1092	160	3	of	of	ADP
cana-1092	160	4	physics	physics	PROPN
cana-1092	160	5	and	and	CCONJ
cana-1092	160	6	mathematics	mathematic	NOUN
cana-1092	160	7	,	,	PUNCT
cana-1092	160	8	5(2	5(2	NUM
cana-1092	160	9	)	)	PUNCT
cana-1092	160	10	,	,	PUNCT
cana-1092	160	11	13–17	13–17	NUM
cana-1092	160	12	.	.	PUNCT
cana-1092	161	1	https://doi.org/10.33545/26648636.2023.v5.i2a.61	https://doi.org/10.33545/26648636.2023.v5.i2a.61	NOUN
cana-1092	161	2	[	[	X
cana-1092	161	3	6	6	NUM
cana-1092	161	4	]	]	X
cana-1092	161	5	chaudhary	chaudhary	PROPN
cana-1092	161	6	,	,	PUNCT
cana-1092	161	7	p.	p.	PROPN
cana-1092	161	8	r.	r.	PROPN
cana-1092	161	9	,	,	PUNCT
cana-1092	161	10	panthi	panthi	PROPN
cana-1092	161	11	,	,	PUNCT
cana-1092	161	12	d.	d.	PROPN
cana-1092	161	13	,	,	PUNCT
cana-1092	161	14	&	&	CCONJ
cana-1092	161	15	bhatta	bhatta	PROPN
cana-1092	161	16	,	,	PUNCT
cana-1092	161	17	c.	c.	PROPN
cana-1092	161	18	r.	r.	PROPN
cana-1092	161	19	(	(	PUNCT
cana-1092	161	20	2024	2024	NUM
cana-1092	161	21	)	)	PUNCT
cana-1092	161	22	.	.	PUNCT
cana-1092	162	1	ethnomathematical	ethnomathematical	ADJ
cana-1092	162	2	ideas	idea	NOUN
cana-1092	162	3	in	in	ADP
cana-1092	162	4	dhakiya	dhakiya	NOUN
cana-1092	162	5	weaving	weaving	NOUN
cana-1092	163	1	[	[	X
cana-1092	163	2	7	7	X
cana-1092	163	3	]	]	PUNCT
cana-1092	163	4	in	in	ADP
cana-1092	163	5	tharu	tharu	NOUN
cana-1092	163	6	community	community	NOUN
cana-1092	163	7	.	.	PUNCT
cana-1092	164	1	international	international	ADJ
cana-1092	164	2	journal	journal	PROPN
cana-1092	164	3	of	of	ADP
cana-1092	164	4	mathematics	mathematic	NOUN
cana-1092	164	5	and	and	CCONJ
cana-1092	164	6	its	its	PRON
cana-1092	164	7	applications	application	NOUN
cana-1092	164	8	,	,	PUNCT
cana-1092	164	9	12(2	12(2	NUM
cana-1092	164	10	)	)	PUNCT
cana-1092	164	11	,	,	PUNCT
cana-1092	164	12	35–42	35–42	NUM
cana-1092	164	13	.	.	PUNCT
cana-1092	164	14	retrieved	retrieve	VERB
cana-1092	164	15	from	from	ADP
cana-1092	164	16	https://ijmaa.in/index.php/ijmaa/article/view/1459	https://ijmaa.in/index.php/ijmaa/article/view/1459	NOUN
cana-1092	165	1	[	[	X
cana-1092	165	2	8	8	NUM
cana-1092	165	3	]	]	X
cana-1092	165	4	central	central	ADJ
cana-1092	165	5	bureau	bureau	NOUN
cana-1092	165	6	of	of	ADP
cana-1092	165	7	statistics	statistic	NOUN
cana-1092	165	8	(	(	PUNCT
cana-1092	165	9	cbs	cbs	PROPN
cana-1092	165	10	)	)	PUNCT
cana-1092	166	1	[	[	X
cana-1092	166	2	nepal	nepal	X
cana-1092	166	3	]	]	X
cana-1092	166	4	.	.	PUNCT
cana-1092	167	1	(	(	PUNCT
cana-1092	167	2	2021	2021	NUM
cana-1092	167	3	)	)	PUNCT
cana-1092	167	4	.	.	PUNCT
cana-1092	168	1	population	population	NOUN
cana-1092	168	2	census	census	PROPN
cana-1092	168	3	.	.	PUNCT
cana-1092	169	1	[	[	X
cana-1092	169	2	9	9	NUM
cana-1092	169	3	]	]	SYM
cana-1092	169	4	d’ambrosio	d’ambrosio	PROPN
cana-1092	169	5	,	,	PUNCT
cana-1092	169	6	u.	u.	NOUN
cana-1092	169	7	(	(	PUNCT
cana-1092	169	8	2006	2006	NUM
cana-1092	169	9	)	)	PUNCT
cana-1092	169	10	.	.	PUNCT
cana-1092	170	1	ethnomathematics	ethnomathematic	NOUN
cana-1092	170	2	:	:	PUNCT
cana-1092	170	3	link	link	VERB
cana-1092	170	4	between	between	ADP
cana-1092	170	5	traditions	tradition	NOUN
cana-1092	170	6	and	and	CCONJ
cana-1092	170	7	modernity	modernity	NOUN
cana-1092	170	8	.	.	PUNCT
cana-1092	171	1	rotterdam	rotterdam	NOUN
cana-1092	171	2	,	,	PUNCT
cana-1092	171	3	sense	sense	NOUN
cana-1092	171	4	publishers	publisher	NOUN
cana-1092	171	5	.	.	PUNCT
cana-1092	172	1	[	[	X
cana-1092	172	2	10	10	NUM
cana-1092	172	3	]	]	X
cana-1092	172	4	d’ambrosio	d’ambrosio	PROPN
cana-1092	172	5	,	,	PUNCT
cana-1092	172	6	u.(1985	u.(1985	NOUN
cana-1092	172	7	)	)	PUNCT
cana-1092	172	8	.	.	PUNCT
cana-1092	173	1	ethnomathematics	ethnomathematic	NOUN
cana-1092	173	2	and	and	CCONJ
cana-1092	173	3	its	its	PRON
cana-1092	173	4	place	place	NOUN
cana-1092	173	5	in	in	ADP
cana-1092	173	6	the	the	DET
cana-1092	173	7	history	history	NOUN
cana-1092	173	8	and	and	CCONJ
cana-1092	173	9	pedagogy	pedagogy	NOUN
cana-1092	173	10	of	of	ADP
cana-1092	173	11	mathematics	mathematic	NOUN
cana-1092	173	12	.	.	PUNCT
cana-1092	174	1	for	for	ADP
cana-1092	174	2	the	the	DET
cana-1092	174	3	learning	learning	NOUN
cana-1092	174	4	of	of	ADP
cana-1092	174	5	mathematics	mathematic	NOUN
cana-1092	174	6	,	,	PUNCT
cana-1092	174	7	5	5	NUM
cana-1092	174	8	,	,	PUNCT
cana-1092	174	9	44–48	44–48	NUM
cana-1092	174	10	.	.	PUNCT
cana-1092	175	1	[	[	X
cana-1092	175	2	11	11	NUM
cana-1092	175	3	]	]	X
cana-1092	175	4	orey	orey	PROPN
cana-1092	175	5	,	,	PUNCT
cana-1092	175	6	d.	d.	PROPN
cana-1092	175	7	c.	c.	PROPN
cana-1092	175	8	,	,	PUNCT
cana-1092	175	9	&	&	CCONJ
cana-1092	175	10	rosa	rosa	PROPN
cana-1092	175	11	,	,	PUNCT
cana-1092	175	12	m.	m.	NOUN
cana-1092	175	13	(	(	PUNCT
cana-1092	175	14	2006	2006	NUM
cana-1092	175	15	)	)	PUNCT
cana-1092	175	16	.	.	PUNCT
cana-1092	176	1	three	three	NUM
cana-1092	176	2	approaches	approach	NOUN
cana-1092	176	3	in	in	ADP
cana-1092	176	4	the	the	DET
cana-1092	176	5	research	research	NOUN
cana-1092	176	6	field	field	NOUN
cana-1092	176	7	of	of	ADP
cana-1092	176	8	ethnomodeling	ethnomodeling	NOUN
cana-1092	176	9	:	:	PUNCT
cana-1092	176	10	emic	emic	ADJ
cana-1092	176	11	(	(	PUNCT
cana-1092	176	12	local	local	ADJ
cana-1092	176	13	)	)	PUNCT
cana-1092	176	14	,	,	PUNCT
cana-1092	176	15	etic	etic	PROPN
cana-1092	176	16	(	(	PUNCT
cana-1092	176	17	global	global	ADJ
cana-1092	176	18	)	)	PUNCT
cana-1092	176	19	,	,	PUNCT
cana-1092	176	20	and	and	CCONJ
cana-1092	176	21	dialogical	dialogical	ADJ
cana-1092	176	22	(	(	PUNCT
cana-1092	176	23	glocal	glocal	ADJ
cana-1092	176	24	)	)	PUNCT
cana-1092	176	25	.	.	PUNCT
cana-1092	177	1	revista	revista	PROPN
cana-1092	177	2	latinoamericana	latinoamericana	PROPN
cana-1092	177	3	de	de	PROPN
cana-1092	177	4	etnomatemática	etnomatemática	PROPN
cana-1092	177	5	,	,	PUNCT
cana-1092	177	6	8(2),364	8(2),364	NUM
cana-1092	177	7	-	-	SYM
cana-1092	177	8	380	380	NUM
cana-1092	177	9	.	.	PUNCT
cana-1092	178	1	[	[	X
cana-1092	178	2	12	12	NUM
cana-1092	178	3	]	]	X
cana-1092	178	4	pradhan	pradhan	PROPN
cana-1092	178	5	,	,	PUNCT
cana-1092	178	6	j.	j.	PROPN
cana-1092	178	7	b.	b.	PROPN
cana-1092	178	8	,	,	PUNCT
cana-1092	178	9	sharma	sharma	PROPN
cana-1092	178	10	,	,	PUNCT
cana-1092	178	11	t.	t.	PROPN
cana-1092	178	12	n.	n.	PROPN
cana-1092	178	13	,	,	PUNCT
cana-1092	178	14	&	&	CCONJ
cana-1092	178	15	sharma	sharma	PROPN
cana-1092	178	16	,	,	PUNCT
cana-1092	178	17	t.	t.	NOUN
cana-1092	178	18	(	(	PUNCT
cana-1092	178	19	2021	2021	NUM
cana-1092	178	20	)	)	PUNCT
cana-1092	178	21	.	.	PUNCT
cana-1092	179	1	ethnomathematics	ethnomathematic	VERB
cana-1092	179	2	research	research	NOUN
cana-1092	179	3	practices	practice	NOUN
cana-1092	179	4	and	and	CCONJ
cana-1092	179	5	its	its	PRON
cana-1092	179	6	pedagogical	pedagogical	ADJ
cana-1092	179	7	implications	implication	NOUN
cana-1092	179	8	:	:	PUNCT
cana-1092	179	9	a	a	DET
cana-1092	179	10	nepalese	nepalese	ADJ
cana-1092	179	11	perspective	perspective	NOUN
cana-1092	179	12	.	.	PUNCT
cana-1092	180	1	journal	journal	NOUN
cana-1092	180	2	of	of	ADP
cana-1092	180	3	mathematics	mathematic	NOUN
cana-1092	180	4	and	and	CCONJ
cana-1092	180	5	culture	culture	NOUN
cana-1092	180	6	,	,	PUNCT
cana-1092	180	7	15(1	15(1	NUM
cana-1092	180	8	)	)	PUNCT
cana-1092	180	9	,	,	PUNCT
cana-1092	180	10	110–126	110–126	NUM
cana-1092	180	11	[	[	X
cana-1092	180	12	13	13	NUM
cana-1092	180	13	]	]	X
cana-1092	180	14	rosa	rosa	PROPN
cana-1092	180	15	,	,	PUNCT
cana-1092	180	16	m.	m.	PROPN
cana-1092	180	17	&	&	CCONJ
cana-1092	180	18	shirley	shirley	PROPN
cana-1092	180	19	,	,	PUNCT
cana-1092	180	20	l.	l.	PROPN
cana-1092	180	21	(	(	PUNCT
cana-1092	180	22	2016	2016	NUM
cana-1092	180	23	)	)	PUNCT
cana-1092	180	24	.	.	PUNCT
cana-1092	181	1	[	[	X
cana-1092	181	2	introduction]_current	introduction]_current	NOUN
cana-1092	181	3	and	and	CCONJ
cana-1092	181	4	future	future	ADJ
cana-1092	181	5	perspectives	perspective	NOUN
cana-1092	181	6	of	of	ADP
cana-1092	181	7	ethnomathematics	ethnomathematic	NOUN
cana-1092	181	8	as	as	ADP
cana-1092	181	9	a	a	DET
cana-1092	181	10	program	program	NOUN
cana-1092	181	11	.	.	PUNCT
cana-1092	182	1	in	in	ADP
cana-1092	182	2	springer	springer	NOUN
cana-1092	182	3	nature_(pp.1–3	nature_(pp.1–3	PROPN
cana-1092	182	4	)	)	PUNCT
cana-1092	182	5	.	.	PUNCT
cana-1092	183	1	[	[	X
cana-1092	183	2	14	14	NUM
cana-1092	183	3	]	]	X
cana-1092	183	4	wesslen	wesslen	ADJ
cana-1092	183	5	,	,	PUNCT
cana-1092	183	6	m.	m.	NOUN
cana-1092	183	7	,	,	PUNCT
cana-1092	183	8	&	&	CCONJ
cana-1092	183	9	fernandez	fernandez	PROPN
cana-1092	183	10	,	,	PUNCT
cana-1092	183	11	s.	s.	PROPN
cana-1092	183	12	(	(	PUNCT
cana-1092	183	13	2005	2005	NUM
cana-1092	183	14	)	)	PUNCT
cana-1092	183	15	.	.	PUNCT
cana-1092	184	1	transformation	transformation	NOUN
cana-1092	184	2	geometry	geometry	NOUN
cana-1092	184	3	.	.	PUNCT
cana-1092	185	1	mathematics	mathematic	NOUN
cana-1092	185	2	teaching	teaching	NOUN
cana-1092	185	3	,	,	PUNCT
cana-1092	185	4	191(27	191(27	NUM
cana-1092	185	5	)	)	PUNCT
cana-1092	185	6	.	.	PUNCT
cana-1092	186	1	https://doi.org/10.15700/saje.v32n1a452	https://doi.org/10.15700/saje.v32n1a452	NOUN
cana-1092	186	2	https://doi.org/10.22271/math.2023.v4.i2a.96	https://doi.org/10.22271/math.2023.v4.i2a.96	PROPN