id	sid	tid	token	lemma	pos
m-386	1	1	the	the	DET
m-386	1	2	d	d	PROPN
m-386	1	3	operator	operator	NOUN
m-386	1	4	and	and	CCONJ
m-386	1	5	gauss	gauss	NOUN
m-386	1	6	functions	function	NOUN
m-386	1	7	of	of	ADP
m-386	1	8	three	three	NUM
m-386	1	9	variabls	variabls	ADJ
m-386	1	10	effectiveness	effectiveness	NOUN
m-386	1	11	similar	similar	ADJ
m-386	1	12	transposed	transpose	VERB
m-386	1	13	set	set	NOUN
m-386	1	14	of	of	ADP
m-386	1	15	polynomials	polynomial	NOUN
m-386	1	16	of	of	ADP
m-386	1	17	two	two	NUM
m-386	1	18	complex	complex	ADJ
m-386	1	19	variables	variable	NOUN
m-386	1	20	in	in	ADP
m-386	1	21	different	different	ADJ
m-386	1	22	regions	region	NOUN
m-386	1	23	mosaed	mosaed	VERB
m-386	1	24	m.	m.	NOUN
m-386	1	25	makky	makky	PROPN
m-386	1	26	and	and	CCONJ
m-386	1	27	mohamed	mohamed	PROPN
m-386	1	28	o.	o.	PROPN
m-386	1	29	soltan	soltan	PROPN
m-386	1	30	department	department	PROPN
m-386	1	31	of	of	ADP
m-386	1	32	mathematics	mathematic	NOUN
m-386	1	33	,	,	PUNCT
m-386	1	34	faculty	faculty	NOUN
m-386	1	35	of	of	ADP
m-386	1	36	science	science	NOUN
m-386	1	37	,	,	PUNCT
m-386	1	38	south	south	PROPN
m-386	1	39	valley	valley	PROPN
m-386	1	40	university	university	PROPN
m-386	1	41	(	(	PUNCT
m-386	1	42	qena	qena	PROPN
m-386	1	43	-	-	PUNCT
m-386	1	44	egypt	egypt	PROPN
m-386	1	45	)	)	PUNCT
m-386	1	46	email	email	NOUN
m-386	1	47	:	:	PUNCT
m-386	1	48	mosaed_makky11@yahoo.com	mosaed_makky11@yahoo.com	X
m-386	1	49	,	,	PUNCT
m-386	1	50	mosaed_makky@sci.svu.edu.eg	mosaed_makky@sci.svu.edu.eg	NOUN
m-386	1	51	mohamed.abuelhassan2015@gmail.com	mohamed.abuelhassan2015@gmail.com	X
m-386	2	1	abstract	abstract	NOUN
m-386	2	2	in	in	ADP
m-386	2	3	this	this	DET
m-386	2	4	paper	paper	NOUN
m-386	2	5	we	we	PRON
m-386	2	6	derive	derive	VERB
m-386	2	7	the	the	DET
m-386	2	8	effectiveness	effectiveness	NOUN
m-386	2	9	of	of	ADP
m-386	2	10	similar	similar	ADJ
m-386	2	11	transposed	transpose	VERB
m-386	2	12	sets	set	NOUN
m-386	2	13	of	of	ADP
m-386	2	14	polynomials	polynomial	NOUN
m-386	2	15	of	of	ADP
m-386	2	16	two	two	NUM
m-386	2	17	complex	complex	ADJ
m-386	2	18	variables	variable	NOUN
m-386	2	19	in	in	ADP
m-386	2	20	origin	origin	NOUN
m-386	2	21	,	,	PUNCT
m-386	2	22	when	when	SCONJ
m-386	2	23	the	the	DET
m-386	2	24	constituent	constituent	NOUN
m-386	2	25	sets	set	NOUN
m-386	2	26	are	be	AUX
m-386	2	27	originally	originally	ADV
m-386	2	28	effective	effective	ADJ
m-386	2	29	under	under	ADP
m-386	2	30	a	a	DET
m-386	2	31	normalizing	normalizing	ADJ
m-386	2	32	conditions	condition	NOUN
m-386	2	33	for	for	ADP
m-386	2	34	these	these	DET
m-386	2	35	sets	set	NOUN
m-386	2	36	.	.	PUNCT
m-386	3	1	moreover	moreover	ADV
m-386	3	2	,	,	PUNCT
m-386	3	3	when	when	SCONJ
m-386	3	4	the	the	DET
m-386	3	5	constituent	constituent	NOUN
m-386	3	6	sets	set	VERB
m-386	3	7	under	under	ADP
m-386	3	8	the	the	DET
m-386	3	9	normalizing	normalizing	ADJ
m-386	3	10	conditions	condition	NOUN
m-386	3	11	are	be	AUX
m-386	3	12	algebraic	algebraic	ADJ
m-386	3	13	and	and	CCONJ
m-386	3	14	functional	functional	ADJ
m-386	3	15	sets	set	NOUN
m-386	3	16	,	,	PUNCT
m-386	3	17	the	the	DET
m-386	3	18	effectiveness	effectiveness	NOUN
m-386	3	19	of	of	ADP
m-386	3	20	similar	similar	ADJ
m-386	3	21	transposed	transpose	VERB
m-386	3	22	sets	set	NOUN
m-386	3	23	of	of	ADP
m-386	3	24	polynomials	polynomial	NOUN
m-386	3	25	in	in	ADP
m-386	3	26	open	open	ADJ
m-386	3	27	hyperspheres	hypersphere	NOUN
m-386	3	28	is	be	AUX
m-386	3	29	given	give	VERB
m-386	3	30	here	here	ADV
m-386	3	31	.	.	PUNCT
m-386	4	1	finally	finally	ADV
m-386	4	2	the	the	DET
m-386	4	3	effectiveness	effectiveness	NOUN
m-386	4	4	of	of	ADP
m-386	4	5	similar	similar	ADJ
m-386	4	6	transposed	transpose	VERB
m-386	4	7	sets	set	NOUN
m-386	4	8	of	of	ADP
m-386	4	9	polynomials	polynomial	NOUN
m-386	4	10	and	and	CCONJ
m-386	4	11	effectiveness	effectiveness	NOUN
m-386	4	12	of	of	ADP
m-386	4	13	inverse	inverse	NOUN
m-386	4	14	similar	similar	ADJ
m-386	4	15	transposed	transpose	VERB
m-386	4	16	sets	set	NOUN
m-386	4	17	of	of	ADP
m-386	4	18	polynomials	polynomial	NOUN
m-386	4	19	are	be	AUX
m-386	4	20	studied	study	VERB
m-386	4	21	here	here	ADV
m-386	4	22	.	.	PUNCT
m-386	5	1	2010	2010	NUM
m-386	5	2	mathematics	mathematic	NOUN
m-386	5	3	subject	subject	NOUN
m-386	5	4	classification	classification	NOUN
m-386	5	5	:	:	PUNCT
m-386	5	6	primary	primary	NOUN
m-386	5	7	30c10	30c10	NUM
m-386	5	8	,	,	PUNCT
m-386	5	9	30a10	30a10	NUM
m-386	5	10	,	,	PUNCT
m-386	5	11	secondary	secondary	ADJ
m-386	5	12	30b10	30b10	NUM
m-386	5	13	.	.	PUNCT
m-386	6	1	keywords	keyword	NOUN
m-386	6	2	:	:	PUNCT
m-386	6	3	similar	similar	ADJ
m-386	6	4	sets	set	NOUN
m-386	6	5	,	,	PUNCT
m-386	6	6	transposed	transpose	VERB
m-386	6	7	sets	set	NOUN
m-386	6	8	,	,	PUNCT
m-386	6	9	inverse	inverse	NOUN
m-386	6	10	transposed	transpose	VERB
m-386	6	11	sets	set	NOUN
m-386	6	12	,	,	PUNCT
m-386	6	13	basic	basic	ADJ
m-386	6	14	sets	set	NOUN
m-386	6	15	,	,	PUNCT
m-386	6	16	canon	canon	NOUN
m-386	6	17	sum	sum	NOUN
m-386	6	18	,	,	PUNCT
m-386	6	19	cannon	cannon	NOUN
m-386	6	20	function	function	NOUN
m-386	6	21	.	.	PUNCT
m-386	7	1	1	1	X
m-386	7	2	.	.	X
m-386	7	3	introduction	introduction	NOUN
m-386	7	4	and	and	CCONJ
m-386	7	5	preliminaries	preliminary	NOUN
m-386	7	6	in	in	ADP
m-386	7	7	recent	recent	ADJ
m-386	7	8	decades	decade	NOUN
m-386	7	9	,	,	PUNCT
m-386	7	10	we	we	PRON
m-386	7	11	have	have	AUX
m-386	7	12	centered	center	VERB
m-386	7	13	our	our	PRON
m-386	7	14	attention	attention	NOUN
m-386	7	15	on	on	ADP
m-386	7	16	a	a	DET
m-386	7	17	new	new	ADJ
m-386	7	18	family	family	NOUN
m-386	7	19	of	of	ADP
m-386	7	20	multivariate	multivariate	NOUN
m-386	7	21	polynomials	polynomial	NOUN
m-386	7	22	,	,	PUNCT
m-386	7	23	and	and	CCONJ
m-386	7	24	similar	similar	ADJ
m-386	7	25	sets	set	NOUN
m-386	7	26	of	of	ADP
m-386	7	27	polynomials	polynomial	NOUN
m-386	7	28	,	,	PUNCT
m-386	7	29	which	which	PRON
m-386	7	30	are	be	AUX
m-386	7	31	a	a	DET
m-386	7	32	great	great	ADJ
m-386	7	33	example	example	NOUN
m-386	7	34	of	of	ADP
m-386	7	35	using	use	VERB
m-386	7	36	operational	operational	ADJ
m-386	7	37	techniques	technique	NOUN
m-386	7	38	in	in	ADP
m-386	7	39	a	a	DET
m-386	7	40	general	general	ADJ
m-386	7	41	setting	setting	NOUN
m-386	7	42	.	.	PUNCT
m-386	8	1	so	so	ADV
m-386	8	2	we	we	PRON
m-386	8	3	will	will	AUX
m-386	8	4	first	first	ADV
m-386	8	5	present	present	VERB
m-386	8	6	similar	similar	ADJ
m-386	8	7	sets	set	NOUN
m-386	8	8	of	of	ADP
m-386	8	9	polynomials	polynomial	NOUN
m-386	8	10	and	and	CCONJ
m-386	8	11	then	then	ADV
m-386	8	12	summarise	summarise	VERB
m-386	8	13	some	some	DET
m-386	8	14	basic	basic	ADJ
m-386	8	15	findings	finding	NOUN
m-386	8	16	related	relate	VERB
m-386	8	17	to	to	ADP
m-386	8	18	these	these	DET
m-386	8	19	two	two	NUM
m-386	8	20	families	family	NOUN
m-386	8	21	of	of	ADP
m-386	8	22	bivariate	bivariate	ADJ
m-386	8	23	polynomials	polynomial	NOUN
m-386	8	24	which	which	PRON
m-386	8	25	provide	provide	VERB
m-386	8	26	the	the	DET
m-386	8	27	main	main	ADJ
m-386	8	28	background	background	NOUN
m-386	8	29	in	in	ADP
m-386	8	30	our	our	PRON
m-386	8	31	analysis	analysis	NOUN
m-386	8	32	along	along	ADP
m-386	8	33	with	with	ADP
m-386	8	34	the	the	DET
m-386	8	35	principle	principle	NOUN
m-386	8	36	of	of	ADP
m-386	8	37	analytical	analytical	ADJ
m-386	8	38	functions	function	NOUN
m-386	8	39	in	in	ADP
m-386	8	40	[	[	X
m-386	8	41	4	4	NUM
m-386	8	42	,	,	PUNCT
m-386	8	43	10	10	NUM
m-386	8	44	]	]	PUNCT
m-386	8	45	.	.	PUNCT
m-386	9	1	polynomial	polynomial	ADJ
m-386	9	2	sequences	sequence	NOUN
m-386	9	3	play	play	VERB
m-386	9	4	an	an	DET
m-386	9	5	important	important	ADJ
m-386	9	6	role	role	NOUN
m-386	9	7	in	in	ADP
m-386	9	8	solving	solve	VERB
m-386	9	9	numerous	numerous	ADJ
m-386	9	10	problems	problem	NOUN
m-386	9	11	that	that	PRON
m-386	9	12	exist	exist	VERB
m-386	9	13	in	in	ADP
m-386	9	14	many	many	ADJ
m-386	9	15	different	different	ADJ
m-386	9	16	fields	field	NOUN
m-386	9	17	of	of	ADP
m-386	9	18	pure	pure	ADJ
m-386	9	19	and	and	CCONJ
m-386	9	20	applied	applied	ADJ
m-386	9	21	mathematics	mathematic	NOUN
m-386	9	22	(	(	PUNCT
m-386	9	23	see	see	VERB
m-386	9	24	,	,	PUNCT
m-386	9	25	for	for	ADP
m-386	9	26	example	example	NOUN
m-386	9	27	,	,	PUNCT
m-386	9	28	[	[	X
m-386	9	29	3	3	NUM
m-386	9	30	,	,	PUNCT
m-386	9	31	11	11	NUM
m-386	9	32	,	,	PUNCT
m-386	9	33	22	22	NUM
m-386	9	34	]	]	PUNCT
m-386	9	35	)	)	PUNCT
m-386	9	36	.	.	PUNCT
m-386	10	1	in	in	ADP
m-386	10	2	1937	1937	NUM
m-386	10	3	cannon	cannon	NOUN
m-386	10	4	[	[	X
m-386	10	5	2	2	X
m-386	10	6	]	]	PUNCT
m-386	10	7	introduced	introduce	VERB
m-386	10	8	convergence	convergence	NOUN
m-386	10	9	of	of	ADP
m-386	10	10	some	some	DET
m-386	10	11	polynomials	polynomial	NOUN
m-386	10	12	among	among	ADP
m-386	10	13	the	the	DET
m-386	10	14	many	many	ADJ
m-386	10	15	polynomials	polynomial	NOUN
m-386	10	16	.	.	PUNCT
m-386	11	1	the	the	DET
m-386	11	2	main	main	ADJ
m-386	11	3	objective	objective	NOUN
m-386	11	4	of	of	ADP
m-386	11	5	this	this	DET
m-386	11	6	paper	paper	NOUN
m-386	11	7	is	be	AUX
m-386	11	8	to	to	PART
m-386	11	9	study	study	VERB
m-386	11	10	the	the	DET
m-386	11	11	effectiveness	effectiveness	NOUN
m-386	11	12	similar	similar	ADJ
m-386	11	13	transposed	transpose	VERB
m-386	11	14	sets	set	NOUN
m-386	11	15	of	of	ADP
m-386	11	16	polynomials	polynomial	NOUN
m-386	11	17	of	of	ADP
m-386	11	18	one	one	NUM
m-386	11	19	complex	complex	ADJ
m-386	11	20	variable	variable	NOUN
m-386	11	21	,	,	PUNCT
m-386	11	22	which	which	PRON
m-386	11	23	was	be	AUX
m-386	11	24	recently	recently	ADV
m-386	11	25	defined	define	VERB
m-386	11	26	and	and	CCONJ
m-386	11	27	studied	study	VERB
m-386	11	28	by	by	ADP
m-386	11	29	sayyed	sayyed	PROPN
m-386	11	30	and	and	CCONJ
m-386	11	31	mena	mena	PROPN
m-386	12	1	[	[	X
m-386	12	2	18	18	NUM
m-386	12	3	,	,	PUNCT
m-386	12	4	19	19	NUM
m-386	12	5	]	]	PUNCT
m-386	12	6	,	,	PUNCT
m-386	12	7	sayyed	sayyed	ADJ
m-386	12	8	and	and	CCONJ
m-386	12	9	metwally	metwally	ADV
m-386	12	10	[	[	X
m-386	12	11	20	20	NUM
m-386	12	12	,	,	PUNCT
m-386	12	13	21	21	NUM
m-386	12	14	]	]	PUNCT
m-386	12	15	.	.	PUNCT
m-386	13	1	newns	newn	NOUN
m-386	13	2	[	[	X
m-386	13	3	15	15	NUM
m-386	13	4	]	]	PUNCT
m-386	13	5	was	be	AUX
m-386	13	6	introduced	introduce	VERB
m-386	13	7	the	the	DET
m-386	13	8	transposed	transpose	VERB
m-386	13	9	inverse	inverse	NOUN
m-386	13	10	set	set	NOUN
m-386	13	11	of	of	ADP
m-386	13	12	a	a	DET
m-386	13	13	given	give	VERB
m-386	13	14	basic	basic	ADJ
m-386	13	15	set	set	NOUN
m-386	13	16	of	of	ADP
m-386	13	17	polynomials	polynomial	NOUN
m-386	13	18	is	be	AUX
m-386	13	19	the	the	DET
m-386	13	20	set	set	NOUN
m-386	13	21	whose	whose	DET
m-386	13	22	matrix	matrix	NOUN
m-386	13	23	of	of	ADP
m-386	13	24	coefficients	coefficient	NOUN
m-386	13	25	is	be	AUX
m-386	13	26	the	the	DET
m-386	13	27	transposed	transpose	VERB
m-386	13	28	inverse	inverse	NOUN
m-386	13	29	of	of	ADP
m-386	13	30	that	that	PRON
m-386	13	31	of	of	ADP
m-386	13	32	the	the	DET
m-386	13	33	given	give	VERB
m-386	13	34	set	set	NOUN
m-386	13	35	.	.	PUNCT
m-386	14	1	adepoju	adepoju	PROPN
m-386	15	1	[	[	X
m-386	15	2	1	1	NUM
m-386	15	3	;	;	PUNCT
m-386	15	4	chapter	chapter	NOUN
m-386	15	5	ii	ii	PROPN
m-386	15	6	]	]	PUNCT
m-386	15	7	)	)	PUNCT
m-386	15	8	,	,	PUNCT
m-386	15	9	introduced	introduce	VERB
m-386	15	10	the	the	DET
m-386	15	11	effectiveness	effectiveness	NOUN
m-386	15	12	properties	property	NOUN
m-386	15	13	,	,	PUNCT
m-386	15	14	in	in	ADP
m-386	15	15	faber	faber	NOUN
m-386	15	16	regions	region	NOUN
m-386	15	17	,	,	PUNCT
m-386	15	18	of	of	ADP
m-386	15	19	the	the	DET
m-386	15	20	transposed	transpose	VERB
m-386	15	21	inverse	inverse	NOUN
m-386	15	22	set	set	NOUN
m-386	15	23	of	of	ADP
m-386	15	24	a	a	DET
m-386	15	25	given	give	VERB
m-386	15	26	basic	basic	ADJ
m-386	15	27	set	set	NOUN
m-386	15	28	of	of	ADP
m-386	15	29	polynomials	polynomial	NOUN
m-386	15	30	.	.	PUNCT
m-386	16	1	in	in	ADP
m-386	16	2	addition	addition	NOUN
m-386	16	3	,	,	PUNCT
m-386	16	4	similar	similar	ADJ
m-386	16	5	sets	set	NOUN
m-386	16	6	of	of	ADP
m-386	16	7	polynomials	polynomial	NOUN
m-386	16	8	of	of	ADP
m-386	16	9	two	two	NUM
m-386	16	10	complex	complex	ADJ
m-386	16	11	variables	variable	NOUN
m-386	16	12	were	be	AUX
m-386	16	13	defined	define	VERB
m-386	16	14	and	and	CCONJ
m-386	16	15	studied	study	VERB
m-386	16	16	by	by	ADP
m-386	16	17	makky	makky	PROPN
m-386	17	1	[	[	X
m-386	17	2	8	8	NUM
m-386	17	3	,	,	PUNCT
m-386	17	4	9	9	NUM
m-386	17	5	]	]	PUNCT
m-386	17	6	,	,	PUNCT
m-386	17	7	a	a	DET
m-386	17	8	sequence	sequence	NOUN
m-386	17	9			PROPN
m-386	17	10			PROPN
m-386	17	11	,	,	PUNCT
m-386	17	12	(	(	PUNCT
m-386	17	13	,	,	PUNCT
m-386	17	14	)	)	PUNCT
m-386	17	15	m	m	VERB
m-386	17	16	np	np	INTJ
m-386	17	17	z	z	NOUN
m-386	17	18	w	w	NOUN
m-386	17	19	being	be	AUX
m-386	17	20	a	a	DET
m-386	17	21	basic	basic	ADJ
m-386	17	22	set	set	NOUN
m-386	17	23	of	of	ADP
m-386	17	24	polynomials	polynomial	NOUN
m-386	17	25	of	of	ADP
m-386	17	26	monomialvariables	monomialvariable	NOUN
m-386	17	27	z	z	PROPN
m-386	17	28	and	and	CCONJ
m-386	17	29	w	w	PROPN
m-386	17	30	is	be	AUX
m-386	17	31	said	say	VERB
m-386	17	32	to	to	PART
m-386	17	33	form	form	VERB
m-386	17	34	a	a	DET
m-386	17	35	basic	basic	ADJ
m-386	17	36	set	set	NOUN
m-386	17	37	,	,	PUNCT
m-386	17	38	if	if	SCONJ
m-386	17	39	thecomplextwo	thecomplextwo	NOUN
m-386	17	40	;	;	PUNCT
m-386	17	41	,	,	PUNCT
m-386	17	42	0	0	NUM
m-386	17	43	m	m	NOUN
m-386	17	44	nz	nz	PROPN
m-386	17	45	w	w	PROPN
m-386	17	46	m	m	VERB
m-386	17	47	n	n	NUM
m-386	17	48			NUM
m-386	17	49	for	for	ADP
m-386	17	50	a	a	DET
m-386	17	51	unique	unique	ADJ
m-386	17	52	finite	finite	NOUN
m-386	17	53	representation	representation	NOUN
m-386	17	54	as	as	SCONJ
m-386	17	55	follows	follow	VERB
m-386	17	56	(	(	PUNCT
m-386	17	57	see	see	VERB
m-386	17	58	[	[	X
m-386	17	59	2,5	2,5	NUM
m-386	17	60	,	,	PUNCT
m-386	17	61	13	13	NUM
m-386	17	62	]	]	PUNCT
m-386	17	63	):	):	PUNCT
m-386	17	64	(	(	PUNCT
m-386	17	65	1.1	1.1	NUM
m-386	17	66	)	)	PUNCT
m-386	17	67	(	(	PUNCT
m-386	17	68	,	,	PUNCT
m-386	17	69	)	)	PUNCT
m-386	17	70	,	,	PUNCT
m-386	17	71	;	;	PUNCT
m-386	17	72	,	,	PUNCT
m-386	17	73	,	,	PUNCT
m-386	17	74	(	(	PUNCT
m-386	17	75	,	,	PUNCT
m-386	17	76	)	)	PUNCT
m-386	17	77	0	0	NUM
m-386	18	1	(	(	PUNCT
m-386	18	2	,	,	PUNCT
m-386	18	3	)	)	PUNCT
m-386	18	4	m	m	VERB
m-386	18	5	n	n	VERB
m-386	18	6	m	m	VERB
m-386	18	7	n	n	ADV
m-386	18	8	m	m	NOUN
m-386	18	9	n	n	ADJ
m-386	18	10	h	h	NOUN
m-386	19	1	k	k	NOUN
m-386	19	2	h	h	NOUN
m-386	20	1	k	k	NOUN
m-386	20	2	h	h	PROPN
m-386	21	1	k	k	NOUN
m-386	21	2	z	z	PROPN
m-386	21	3	w	w	PROPN
m-386	21	4	p	p	PROPN
m-386	21	5	z	z	NOUN
m-386	21	6	w	w	NOUN
m-386	22	1			NUM
m-386	23	1			NOUN
m-386	23	2			NOUN
m-386	23	3	and	and	CCONJ
m-386	23	4	the	the	DET
m-386	23	5	polynomials	polynomial	NOUN
m-386	23	6			PROPN
m-386	23	7			PROPN
m-386	23	8	,	,	PUNCT
m-386	23	9	(	(	PUNCT
m-386	23	10	,	,	PUNCT
m-386	23	11	)	)	PUNCT
m-386	24	1	m	m	VERB
m-386	24	2	np	np	INTJ
m-386	24	3	z	z	NOUN
m-386	24	4	w	w	NOUN
m-386	24	5	are	be	AUX
m-386	24	6	expressed	express	VERB
m-386	24	7	in	in	ADP
m-386	24	8	polynomial	polynomial	ADJ
m-386	24	9	form	form	NOUN
m-386	24	10	as	as	SCONJ
m-386	24	11	follows	follow	VERB
m-386	24	12	:	:	PUNCT
m-386	24	13	(	(	PUNCT
m-386	24	14	1.2	1.2	NUM
m-386	24	15	)	)	PUNCT
m-386	24	16	(	(	PUNCT
m-386	24	17	,	,	PUNCT
m-386	24	18	)	)	PUNCT
m-386	24	19	,	,	PUNCT
m-386	24	20	,	,	PUNCT
m-386	24	21	;	;	PUNCT
m-386	24	22	,	,	PUNCT
m-386	24	23	(	(	PUNCT
m-386	24	24	,	,	PUNCT
m-386	24	25	)	)	PUNCT
m-386	24	26	0	0	NUM
m-386	25	1	(	(	PUNCT
m-386	25	2	,	,	PUNCT
m-386	25	3	)	)	PUNCT
m-386	25	4	m	m	VERB
m-386	25	5	n	n	NUM
m-386	26	1	h	h	NOUN
m-386	27	1	k	k	NOUN
m-386	27	2	m	m	VERB
m-386	27	3	n	n	VERB
m-386	27	4	m	m	VERB
m-386	27	5	n	n	ADJ
m-386	27	6	h	h	NOUN
m-386	28	1	k	k	NOUN
m-386	28	2	h	h	NOUN
m-386	29	1	k	k	PROPN
m-386	29	2	p	p	X
m-386	29	3	z	z	PROPN
m-386	29	4	w	w	PROPN
m-386	29	5	p	p	PROPN
m-386	29	6	z	z	PROPN
m-386	29	7	w	w	NOUN
m-386	29	8			NUM
m-386	29	9			ADJ
m-386	29	10			X
m-386	29	11	.	.	PUNCT
m-386	30	1	ijo	ijo	PROPN
m-386	30	2	international	international	PROPN
m-386	30	3	journal	journal	PROPN
m-386	30	4	of	of	ADP
m-386	30	5	mathematics	mathematics	PROPN
m-386	30	6	volume	volume	PROPN
m-386	30	7	3|	3|	NUM
m-386	30	8	issue	issue	NOUN
m-386	30	9	12|	12|	NUM
m-386	30	10	december	december	PROPN
m-386	30	11	|	|	NOUN
m-386	30	12	2020	2020	NUM
m-386	30	13	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	30	14	1	1	NUM
m-386	30	15	mailto:mosaed_makky11@yahoo.com	mailto:mosaed_makky11@yahoo.com	X
m-386	30	16	mailto:mosaed_makky@sci.svu.edu.eg	mailto:mosaed_makky@sci.svu.edu.eg	PROPN
m-386	30	17	the	the	DET
m-386	30	18	values	value	NOUN
m-386	30	19	,	,	PUNCT
m-386	30	20	,	,	PUNCT
m-386	30	21	h	h	NOUN
m-386	31	1	k	k	NOUN
m-386	31	2	m	m	VERB
m-386	31	3	np	np	INTJ
m-386	31	4	and	and	CCONJ
m-386	31	5	,	,	PUNCT
m-386	31	6	,	,	PUNCT
m-386	32	1	h	h	NOUN
m-386	33	1	k	k	NOUN
m-386	33	2	m	m	VERB
m-386	33	3	np	np	INTJ
m-386	33	4	are	be	AUX
m-386	33	5	called	call	VERB
m-386	33	6	matrices	matrix	NOUN
m-386	33	7	of	of	ADP
m-386	33	8	coefficients	coefficient	NOUN
m-386	33	9	and	and	CCONJ
m-386	33	10	operators	operator	NOUN
m-386	33	11	of	of	ADP
m-386	33	12	the	the	DET
m-386	33	13	basic	basic	ADJ
m-386	33	14	set	set	NOUN
m-386	33	15			PROPN
m-386	33	16			PROPN
m-386	33	17	,	,	PUNCT
m-386	33	18	(	(	PUNCT
m-386	33	19	,	,	PUNCT
m-386	33	20	)	)	PUNCT
m-386	33	21	m	m	VERB
m-386	33	22	np	np	INTJ
m-386	33	23	z	z	NOUN
m-386	33	24	w	w	NOUN
m-386	33	25	respectively	respectively	ADV
m-386	33	26	;	;	PUNCT
m-386	33	27	each	each	PRON
m-386	33	28	of	of	ADP
m-386	33	29	which	which	PRON
m-386	33	30	is	be	AUX
m-386	33	31	row	row	NOUN
m-386	33	32	finite	finite	NOUN
m-386	33	33	.	.	PUNCT
m-386	34	1	thus	thus	ADV
m-386	34	2	,	,	PUNCT
m-386	34	3	the	the	DET
m-386	34	4	necessary	necessary	ADJ
m-386	34	5	and	and	CCONJ
m-386	34	6	sufficient	sufficient	ADJ
m-386	34	7	condition	condition	NOUN
m-386	34	8	for	for	ADP
m-386	34	9	the	the	DET
m-386	34	10	set	set	NOUN
m-386	34	11			PROPN
m-386	34	12			PROPN
m-386	34	13	,	,	PUNCT
m-386	34	14	(	(	PUNCT
m-386	34	15	,	,	PUNCT
m-386	34	16	)	)	PUNCT
m-386	34	17	m	m	VERB
m-386	34	18	np	np	INTJ
m-386	34	19	z	z	NOUN
m-386	34	20	w	w	NOUN
m-386	34	21	to	to	PART
m-386	34	22	be	be	AUX
m-386	34	23	basic	basic	ADJ
m-386	34	24	if	if	SCONJ
m-386	34	25	,	,	PUNCT
m-386	34	26	,	,	PUNCT
m-386	34	27	,	,	PUNCT
m-386	34	28	,	,	PUNCT
m-386	34	29	m	m	VERB
m-386	34	30	n	n	VERB
m-386	34	31	m	m	VERB
m-386	34	32	n	n	ADV
m-386	34	33	m	m	NOUN
m-386	34	34	n	n	ADV
m-386	34	35	m	m	VERB
m-386	34	36	np	np	INTJ
m-386	34	37	p	p	ADJ
m-386	35	1	i	i	NOUN
m-386	36	1			ADV
m-386	36	2	where	where	SCONJ
m-386	36	3	i	i	PRON
m-386	36	4	is	be	AUX
m-386	36	5	an	an	DET
m-386	36	6	infinite	infinite	ADJ
m-386	36	7	unit	unit	NOUN
m-386	36	8	matrix	matrix	NOUN
m-386	36	9	and	and	CCONJ
m-386	36	10	(	(	PUNCT
m-386	36	11	m	m	PROPN
m-386	36	12	,	,	PUNCT
m-386	36	13	n	n	CCONJ
m-386	36	14	)	)	PUNCT
m-386	36	15	=	=	SYM
m-386	36	16	1	1	NUM
m-386	36	17	2	2	NUM
m-386	36	18	(	(	PUNCT
m-386	36	19	m+n)(m+n+1)+n	m+n)(m+n+1)+n	PROPN
m-386	36	20	.	.	PUNCT
m-386	37	1	let	let	VERB
m-386	37	2			PRON
m-386	37	3			PROPN
m-386	37	4	(	(	PUNCT
m-386	37	5	)	)	PUNCT
m-386	37	6	,	,	PUNCT
m-386	37	7	(	(	PUNCT
m-386	37	8	,	,	PUNCT
m-386	37	9	)	)	PUNCT
m-386	37	10	;	;	PUNCT
m-386	37	11	1,2i	1,2i	NUM
m-386	37	12	m	m	VERB
m-386	37	13	np	np	ADP
m-386	37	14	z	z	PROPN
m-386	38	1	w	w	PROPN
m-386	39	1	i	i	PRON
m-386	39	2			VERB
m-386	39	3	where	where	SCONJ
m-386	39	4	(	(	PUNCT
m-386	39	5	,	,	PUNCT
m-386	39	6	)	)	PUNCT
m-386	39	7	(	(	PUNCT
m-386	39	8	)	)	PUNCT
m-386	39	9	,	,	PUNCT
m-386	39	10	,	,	PUNCT
m-386	39	11	,	,	PUNCT
m-386	39	12	(	(	PUNCT
m-386	39	13	,	,	PUNCT
m-386	39	14	)	)	PUNCT
m-386	39	15	0	0	NUM
m-386	40	1	(	(	PUNCT
m-386	40	2	,	,	PUNCT
m-386	40	3	)	)	PUNCT
m-386	40	4	;	;	PUNCT
m-386	41	1	1,2	1,2	NUM
m-386	41	2	m	m	NOUN
m-386	41	3	n	n	PRON
m-386	42	1	i	i	PRON
m-386	42	2	h	h	VERB
m-386	43	1	k	k	NOUN
m-386	43	2	h	h	PROPN
m-386	44	1	k	k	NOUN
m-386	44	2	m	m	VERB
m-386	44	3	n	n	VERB
m-386	44	4	m	m	VERB
m-386	44	5	n	n	ADJ
m-386	44	6	h	h	NOUN
m-386	45	1	k	k	NOUN
m-386	45	2	p	p	X
m-386	45	3	z	z	PROPN
m-386	45	4	w	w	PROPN
m-386	45	5	p	p	PROPN
m-386	45	6	z	z	PROPN
m-386	45	7	w	w	NOUN
m-386	46	1	i	i	PRON
m-386	46	2			VERB
m-386	46	3			NUM
m-386	46	4			PROPN
m-386	46	5	basictwo	basictwo	NOUN
m-386	46	6	sets	set	NOUN
m-386	46	7	of	of	ADP
m-386	46	8	polynomials	polynomial	NOUN
m-386	46	9	of	of	ADP
m-386	46	10	two	two	NUM
m-386	46	11	complex	complex	ADJ
m-386	46	12	variables	variable	NOUN
m-386	46	13	be	be	VERB
m-386	46	14	.	.	PUNCT
m-386	47	1	also	also	ADV
m-386	47	2	,	,	PUNCT
m-386	47	3	the	the	DET
m-386	47	4	matrices	matrix	NOUN
m-386	47	5	coefficients	coefficient	NOUN
m-386	47	6	and	and	CCONJ
m-386	47	7	operators	operator	NOUN
m-386	47	8			NOUN
m-386	47	9			PROPN
m-386	47	10	(	(	PUNCT
m-386	47	11	)	)	PUNCT
m-386	47	12	(	(	PUNCT
m-386	47	13	)	)	PUNCT
m-386	47	14	,	,	PUNCT
m-386	47	15	,	,	PUNCT
m-386	47	16	i	i	PRON
m-386	48	1	i	i	PRON
m-386	48	2	h	h	VERB
m-386	49	1	k	k	NOUN
m-386	49	2	m	m	VERB
m-386	49	3	np	np	INTJ
m-386	49	4	p	p	NOUN
m-386	49	5	,	,	PUNCT
m-386	49	6			PROPN
m-386	49	7			PROPN
m-386	49	8	(	(	PUNCT
m-386	49	9	)	)	PUNCT
m-386	49	10	(	(	PUNCT
m-386	49	11	)	)	PUNCT
m-386	49	12	,	,	PUNCT
m-386	49	13	,	,	PUNCT
m-386	49	14	i	i	PRON
m-386	50	1	i	i	PRON
m-386	50	2	h	h	VERB
m-386	51	1	k	k	VERB
m-386	51	2	m	m	VERB
m-386	51	3	np	np	INTJ
m-386	51	4	p	p	NOUN
m-386	51	5	are	be	AUX
m-386	51	6	arranged	arrange	VERB
m-386	51	7	according	accord	VERB
m-386	51	8	to	to	ADP
m-386	51	9	the	the	DET
m-386	51	10	sequence	sequence	NOUN
m-386	51	11	of	of	ADP
m-386	51	12	double	double	ADJ
m-386	51	13	suffices	suffice	NOUN
m-386	51	14	entities	entity	NOUN
m-386	51	15	,	,	PUNCT
m-386	51	16	(	(	PUNCT
m-386	51	17	)	)	PUNCT
m-386	51	18	i	i	PRON
m-386	51	19	je	je	PROPN
m-386	51	20	followsas	followsas	PROPN
m-386	51	21	0,0	0,0	NUM
m-386	51	22	1,0	1,0	NUM
m-386	51	23	0,1	0,1	NUM
m-386	51	24	2,0	2,0	NUM
m-386	51	25	1,1	1,1	NUM
m-386	51	26	0,2	0,2	NOUN
m-386	51	27	,	,	PUNCT
m-386	51	28	,	,	PUNCT
m-386	51	29	,	,	PUNCT
m-386	51	30	,	,	PUNCT
m-386	51	31	,	,	PUNCT
m-386	51	32	,	,	PUNCT
m-386	51	33	.....	.....	PUNCT
m-386	51	34	e	e	NOUN
m-386	51	35	e	e	X
m-386	51	36	e	e	X
m-386	51	37	e	e	X
m-386	51	38	e	e	X
m-386	51	39	e	e	X
m-386	51	40	;	;	PUNCT
m-386	51	41	valuethe	valuethe	PRON
m-386	51	42	(	(	PUNCT
m-386	51	43	,	,	PUNCT
m-386	51	44	)	)	PUNCT
m-386	52	1	i	i	PRON
m-386	52	2	j	j	PROPN
m-386	52	3	for	for	ADP
m-386	52	4	the	the	DET
m-386	52	5	enumerator	enumerator	NOUN
m-386	52	6	number	number	NOUN
m-386	52	7	of	of	ADP
m-386	52	8	,	,	PUNCT
m-386	52	9	i	i	PRON
m-386	52	10	j	j	VERB
m-386	52	11	among	among	ADP
m-386	52	12	this	this	DET
m-386	52	13	sequence	sequence	NOUN
m-386	52	14	,	,	PUNCT
m-386	52	15	such	such	ADJ
m-386	52	16	that	that	SCONJ
m-386	52	17	:	:	PUNCT
m-386	52	18	1	1	NUM
m-386	52	19	(	(	PUNCT
m-386	52	20	,	,	PUNCT
m-386	52	21	)	)	PUNCT
m-386	52	22	(	(	PUNCT
m-386	52	23	)	)	PUNCT
m-386	52	24	(	(	PUNCT
m-386	52	25	1	1	NUM
m-386	52	26	)	)	PUNCT
m-386	52	27	;	;	PUNCT
m-386	52	28	(	(	PUNCT
m-386	52	29	,	,	PUNCT
m-386	52	30	)	)	PUNCT
m-386	52	31	0	0	NUM
m-386	52	32	2	2	NUM
m-386	53	1	i	i	PRON
m-386	53	2	j	j	VERB
m-386	54	1	i	i	PRON
m-386	54	2	j	j	VERB
m-386	55	1	i	i	PRON
m-386	55	2	j	j	PROPN
m-386	56	1	j	j	NOUN
m-386	56	2	i	i	PRON
m-386	56	3	j	j	PROPN
m-386	56	4			PROPN
m-386	56	5			PROPN
m-386	56	6			PROPN
m-386	56	7			PROPN
m-386	57	1			PROPN
m-386	57	2	.	.	PUNCT
m-386	58	1	the	the	DET
m-386	58	2	basic	basic	ADJ
m-386	58	3	set	set	NOUN
m-386	58	4			PROPN
m-386	58	5			PROPN
m-386	58	6	,	,	PUNCT
m-386	58	7	(	(	PUNCT
m-386	58	8	,	,	PUNCT
m-386	58	9	)	)	PUNCT
m-386	58	10	m	m	VERB
m-386	58	11	np	np	INTJ
m-386	58	12	z	z	PROPN
m-386	58	13	w	w	PROPN
m-386	58	14	of	of	ADP
m-386	58	15	polynomials	polynomial	NOUN
m-386	58	16	will	will	AUX
m-386	58	17	be	be	AUX
m-386	58	18	called	call	VERB
m-386	58	19	simple	simple	ADJ
m-386	58	20	set	set	NOUN
m-386	58	21	if	if	SCONJ
m-386	58	22	the	the	DET
m-386	58	23	polynomials	polynomial	NOUN
m-386	58	24	,	,	PUNCT
m-386	58	25	(	(	PUNCT
m-386	58	26	,	,	PUNCT
m-386	58	27	)	)	PUNCT
m-386	58	28	m	m	VERB
m-386	58	29	np	np	INTJ
m-386	58	30	z	z	PROPN
m-386	58	31	w	w	NOUN
m-386	58	32	are	be	AUX
m-386	58	33	of	of	ADP
m-386	58	34	order	order	NOUN
m-386	58	35	n	n	CCONJ
m-386	58	36	,	,	PUNCT
m-386	58	37	if	if	SCONJ
m-386	58	38	(	(	PUNCT
m-386	58	39	,	,	PUNCT
m-386	58	40	)	)	PUNCT
m-386	58	41	,	,	PUNCT
m-386	58	42	,	,	PUNCT
m-386	58	43	,	,	PUNCT
m-386	58	44	(	(	PUNCT
m-386	58	45	,	,	PUNCT
m-386	58	46	)	)	PUNCT
m-386	58	47	0	0	NUM
m-386	59	1	(	(	PUNCT
m-386	59	2	,	,	PUNCT
m-386	59	3	)	)	PUNCT
m-386	59	4	m	m	VERB
m-386	59	5	n	n	NUM
m-386	60	1	h	h	NOUN
m-386	61	1	k	k	NOUN
m-386	61	2	h	h	NOUN
m-386	62	1	k	k	NOUN
m-386	62	2	m	m	VERB
m-386	62	3	n	n	VERB
m-386	62	4	m	m	VERB
m-386	62	5	n	n	ADJ
m-386	62	6	h	h	NOUN
m-386	63	1	k	k	NOUN
m-386	63	2	p	p	X
m-386	63	3	z	z	PROPN
m-386	63	4	w	w	PROPN
m-386	63	5	p	p	PROPN
m-386	63	6	z	z	PROPN
m-386	63	7	w	w	NOUN
m-386	63	8			NUM
m-386	63	9			ADJ
m-386	63	10			NOUN
m-386	64	1	and	and	CCONJ
m-386	64	2	it	it	PRON
m-386	64	3	is	be	AUX
m-386	64	4	a	a	DET
m-386	64	5	monic	monic	ADJ
m-386	64	6	set	set	NOUN
m-386	64	7	if	if	SCONJ
m-386	64	8	,	,	PUNCT
m-386	64	9	,	,	PUNCT
m-386	64	10	1	1	NUM
m-386	64	11	m	m	VERB
m-386	64	12	n	n	ADV
m-386	64	13	m	m	VERB
m-386	64	14	np	np	INTJ
m-386	64	15			ADJ
m-386	64	16	for	for	ADP
m-386	64	17	all	all	PRON
m-386	64	18	(	(	PUNCT
m-386	64	19	m	m	PROPN
m-386	64	20	,	,	PUNCT
m-386	64	21	n	n	CCONJ
m-386	64	22	)	)	PUNCT
m-386	64	23	,	,	PUNCT
m-386	64	24	a	a	DET
m-386	64	25	basic	basic	ADJ
m-386	64	26	set	set	NOUN
m-386	64	27			PROPN
m-386	64	28			PROPN
m-386	64	29	,	,	PUNCT
m-386	64	30	(	(	PUNCT
m-386	64	31	,	,	PUNCT
m-386	64	32	)	)	PUNCT
m-386	64	33	m	m	VERB
m-386	64	34	np	np	INTJ
m-386	64	35	z	z	PROPN
m-386	64	36	w	w	PROPN
m-386	64	37	of	of	ADP
m-386	64	38	polynomials	polynomial	NOUN
m-386	64	39	is	be	AUX
m-386	64	40	said	say	VERB
m-386	64	41	to	to	PART
m-386	64	42	be	be	AUX
m-386	64	43	cannon	cannon	NOUN
m-386	64	44	set	set	NOUN
m-386	64	45	,	,	PUNCT
m-386	64	46	if	if	SCONJ
m-386	64	47	the	the	DET
m-386	64	48	number	number	NOUN
m-386	64	49	;	;	PUNCT
m-386	64	50	,	,	PUNCT
m-386	64	51	m	m	PROPN
m-386	64	52	nn	nn	INTJ
m-386	64	53	;	;	PUNCT
m-386	64	54	of	of	ADP
m-386	64	55	non	non	ADJ
m-386	64	56	-zero	-zero	ADJ
m-386	64	57	elements	element	NOUN
m-386	64	58	in	in	ADP
m-386	64	59	the	the	DET
m-386	64	60	relation	relation	NOUN
m-386	64	61	(	(	PUNCT
m-386	64	62	1.1	1.1	NUM
m-386	64	63	)	)	PUNCT
m-386	64	64	holds	hold	VERB
m-386	64	65	1	1	NUM
m-386	64	66	,	,	PUNCT
m-386	64	67	lim	lim	PROPN
m-386	64	68	{	{	PUNCT
m-386	64	69	}	}	PROPN
m-386	64	70	1	1	NUM
m-386	64	71	m	m	VERB
m-386	64	72	n	n	PRON
m-386	64	73	m	m	NOUN
m-386	64	74	n	n	ADV
m-386	64	75	m	m	PROPN
m-386	64	76	n	n	ADJ
m-386	64	77	n	n	PROPN
m-386	64	78			ADV
m-386	64	79			PUNCT
m-386	64	80			NOUN
m-386	64	81			ADV
m-386	64	82	,	,	PUNCT
m-386	64	83	otherwise	otherwise	ADV
m-386	64	84	it	it	PRON
m-386	64	85	is	be	AUX
m-386	64	86	called	call	VERB
m-386	64	87	a	a	DET
m-386	64	88	general	general	ADJ
m-386	64	89	basic	basic	ADJ
m-386	64	90	set	set	NOUN
m-386	64	91	(	(	PUNCT
m-386	64	92	see	see	VERB
m-386	64	93	e.g.	e.g.	ADV
m-386	64	94	[	[	X
m-386	64	95	2	2	NUM
m-386	64	96	]	]	PUNCT
m-386	64	97	)	)	PUNCT
m-386	64	98	.	.	PUNCT
m-386	65	1	also	also	ADV
m-386	65	2	,	,	PUNCT
m-386	65	3	the	the	DET
m-386	65	4	basic	basic	ADJ
m-386	65	5	set	set	NOUN
m-386	65	6			PROPN
m-386	65	7			PROPN
m-386	65	8	,	,	PUNCT
m-386	65	9	(	(	PUNCT
m-386	65	10	,	,	PUNCT
m-386	65	11	)	)	PUNCT
m-386	65	12	m	m	VERB
m-386	65	13	np	np	INTJ
m-386	65	14	z	z	PROPN
m-386	65	15	w	w	NOUN
m-386	65	16	is	be	AUX
m-386	65	17	said	say	VERB
m-386	65	18	to	to	PART
m-386	65	19	be	be	AUX
m-386	65	20	algebraic	algebraic	ADJ
m-386	65	21	of	of	ADP
m-386	65	22	degree	degree	NOUN
m-386	65	23	n	n	CCONJ
m-386	65	24	;	;	PUNCT
m-386	65	25	when	when	SCONJ
m-386	65	26	its	its	PRON
m-386	65	27	matrix	matrix	NOUN
m-386	65	28	of	of	ADP
m-386	65	29	coefficients	coefficient	NOUN
m-386	65	30	satisfies	satisfy	VERB
m-386	65	31	the	the	DET
m-386	65	32	usual	usual	ADJ
m-386	65	33	identity	identity	NOUN
m-386	65	34	in	in	ADP
m-386	65	35	[	[	X
m-386	65	36	13	13	NUM
m-386	65	37	]	]	PUNCT
m-386	65	38	as	as	SCONJ
m-386	65	39	follows	follow	VERB
m-386	65	40	:	:	PUNCT
m-386	65	41	1	1	NUM
m-386	65	42	0	0	NUM
m-386	65	43	1	1	NUM
m-386	65	44	...	...	PUNCT
m-386	65	45	0n	0n	NOUN
m-386	65	46	n	n	CCONJ
m-386	66	1	na	na	ADP
m-386	66	2	p	p	X
m-386	66	3	a	a	DET
m-386	66	4	p	p	X
m-386	66	5	a	a	DET
m-386	66	6	i	i	NOUN
m-386	66	7			ADV
m-386	66	8			PROPN
m-386	66	9			PROPN
m-386	66	10	.	.	PUNCT
m-386	67	1	the	the	DET
m-386	67	2	cannon	cannon	NOUN
m-386	67	3	sum	sum	NOUN
m-386	67	4	,	,	PUNCT
m-386	67	5	[	[	PUNCT
m-386	67	6	]	]	X
m-386	67	7	m	m	VERB
m-386	67	8	n	n	PRON
m-386	67	9	r	r	NOUN
m-386	67	10	;	;	PUNCT
m-386	67	11	of	of	ADP
m-386	67	12	the	the	DET
m-386	67	13	general	general	ADJ
m-386	67	14	basic	basic	ADJ
m-386	67	15	set	set	NOUN
m-386	67	16			PROPN
m-386	67	17	,	,	PUNCT
m-386	67	18	(	(	PUNCT
m-386	67	19	,	,	PUNCT
m-386	67	20	)	)	PUNCT
m-386	67	21	m	m	VERB
m-386	67	22	np	np	INTJ
m-386	67	23	z	z	NOUN
m-386	67	24	w	w	PROPN
m-386	67	25	is	be	AUX
m-386	67	26	given	give	VERB
m-386	67	27	by	by	ADP
m-386	67	28	(	(	PUNCT
m-386	67	29	see	see	VERB
m-386	67	30	[	[	X
m-386	67	31	14	14	NUM
m-386	67	32	,	,	PUNCT
m-386	67	33	16	16	NUM
m-386	67	34	,	,	PUNCT
m-386	67	35	17	17	NUM
m-386	67	36	]	]	PUNCT
m-386	67	37	)	)	PUNCT
m-386	67	38	(	(	PUNCT
m-386	67	39	1.3	1.3	NUM
m-386	67	40	)	)	PUNCT
m-386	67	41	,	,	PUNCT
m-386	67	42	[	[	PUNCT
m-386	67	43	]	]	X
m-386	67	44	m	m	VERB
m-386	67	45	n	n	PRON
m-386	67	46	r	r	NOUN
m-386	67	47	=	=	SYM
m-386	67	48	(	(	PUNCT
m-386	67	49	,	,	PUNCT
m-386	67	50	)	)	PUNCT
m-386	67	51	,	,	PUNCT
m-386	67	52	,	,	PUNCT
m-386	67	53	,	,	PUNCT
m-386	67	54	,	,	PUNCT
m-386	67	55	(	(	PUNCT
m-386	67	56	,	,	PUNCT
m-386	67	57	)	)	PUNCT
m-386	67	58	0	0	PUNCT
m-386	68	1	|	|	ADV
m-386	68	2	|	|	ADV
m-386	68	3	;	;	PUNCT
m-386	68	4	m	m	VERB
m-386	68	5	n	n	VERB
m-386	68	6	h	h	NOUN
m-386	69	1	k	k	NOUN
m-386	69	2	m	m	VERB
m-386	69	3	n	n	VERB
m-386	69	4	m	m	VERB
m-386	69	5	n	n	ADV
m-386	69	6	m	m	NOUN
m-386	69	7	n	n	ADJ
m-386	69	8	h	h	NOUN
m-386	70	1	k	k	NOUN
m-386	71	1	p	p	X
m-386	71	2	m	m	PROPN
m-386	71	3	p	p	NOUN
m-386	71	4	r	r	ADJ
m-386	72	1			PROPN
m-386	72	2			PROPN
m-386	72	3			PROPN
m-386	72	4			X
m-386	72	5	and	and	CCONJ
m-386	72	6	the	the	DET
m-386	72	7	cannon	cannon	NOUN
m-386	72	8	function	function	NOUN
m-386	72	9	for	for	ADP
m-386	72	10	the	the	DET
m-386	72	11	same	same	ADJ
m-386	72	12	set	set	NOUN
m-386	72	13	is	be	AUX
m-386	72	14	(	(	PUNCT
m-386	72	15	1.4	1.4	NUM
m-386	72	16	)	)	PUNCT
m-386	72	17	1	1	NUM
m-386	72	18	,	,	PUNCT
m-386	72	19	[	[	PUNCT
m-386	72	20	]	]	X
m-386	72	21	limsup	limsup	NOUN
m-386	72	22	{	{	PUNCT
m-386	72	23	(	(	PUNCT
m-386	72	24	,	,	PUNCT
m-386	72	25	)	)	PUNCT
m-386	72	26	}	}	PUNCT
m-386	72	27	m	m	VERB
m-386	72	28	n	n	PRON
m-386	72	29	m	m	VERB
m-386	72	30	n	n	NOUN
m-386	72	31	m	m	NOUN
m-386	72	32	n	n	ADV
m-386	72	33	r	r	NOUN
m-386	72	34	z	z	NOUN
m-386	72	35	w	w	PROPN
m-386	72	36			PROPN
m-386	72	37			PROPN
m-386	72	38			PUNCT
m-386	72	39			NOUN
m-386	72	40			PROPN
m-386	72	41	.	.	PUNCT
m-386	73	1	thatsupposealso	thatsupposealso	ADV
m-386	73	2	,	,	PUNCT
m-386	73	3			PROPN
m-386	73	4			PROPN
m-386	73	5	,	,	PUNCT
m-386	73	6	(	(	PUNCT
m-386	73	7	,	,	PUNCT
m-386	73	8	)	)	PUNCT
m-386	73	9	m	m	VERB
m-386	73	10	np	np	INTJ
m-386	73	11	z	z	NOUN
m-386	73	12	w	w	NOUN
m-386	73	13	settheofpolynomialsofsetinversebe	settheofpolynomialsofsetinversebe	PROPN
m-386	73	14			PROPN
m-386	73	15			PROPN
m-386	73	16	,	,	PUNCT
m-386	73	17	(	(	PUNCT
m-386	73	18	,	,	PUNCT
m-386	73	19	)	)	PUNCT
m-386	73	20	m	m	VERB
m-386	73	21	np	np	INTJ
m-386	73	22	z	z	NOUN
m-386	73	23	w	w	ADP
m-386	74	1	where	where	SCONJ
m-386	74	2	(	(	PUNCT
m-386	74	3	1.5	1.5	NUM
m-386	74	4	)	)	PUNCT
m-386	74	5	(	(	PUNCT
m-386	74	6	,	,	PUNCT
m-386	74	7	)	)	PUNCT
m-386	74	8	,	,	PUNCT
m-386	74	9	,	,	PUNCT
m-386	74	10	,	,	PUNCT
m-386	74	11	(	(	PUNCT
m-386	74	12	,	,	PUNCT
m-386	74	13	)	)	PUNCT
m-386	74	14	0	0	NUM
m-386	75	1	(	(	PUNCT
m-386	75	2	,	,	PUNCT
m-386	75	3	)	)	PUNCT
m-386	75	4	m	m	VERB
m-386	75	5	n	n	NUM
m-386	76	1	h	h	NOUN
m-386	77	1	k	k	NOUN
m-386	77	2	h	h	NOUN
m-386	78	1	k	k	NOUN
m-386	78	2	m	m	VERB
m-386	78	3	n	n	VERB
m-386	78	4	m	m	VERB
m-386	78	5	n	n	ADJ
m-386	78	6	h	h	NOUN
m-386	79	1	k	k	NOUN
m-386	79	2	p	p	X
m-386	79	3	z	z	PROPN
m-386	79	4	w	w	PROPN
m-386	79	5	p	p	PROPN
m-386	80	1	z	z	PROPN
m-386	80	2	w	w	NOUN
m-386	80	3			NUM
m-386	80	4			NUM
m-386	80	5			X
m-386	80	6	ijo	ijo	PROPN
m-386	80	7	international	international	PROPN
m-386	80	8	journal	journal	PROPN
m-386	80	9	of	of	ADP
m-386	80	10	mathematics	mathematics	PROPN
m-386	80	11	volume	volume	PROPN
m-386	80	12	3|	3|	NUM
m-386	80	13	issue	issue	NOUN
m-386	80	14	12|	12|	NUM
m-386	80	15	december	december	PROPN
m-386	80	16	|	|	NOUN
m-386	80	17	2020	2020	NUM
m-386	80	18	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	80	19	2	2	NUM
m-386	80	20	and	and	CCONJ
m-386	80	21	(	(	PUNCT
m-386	80	22	,	,	PUNCT
m-386	80	23	)	)	PUNCT
m-386	80	24	,	,	PUNCT
m-386	80	25	,	,	PUNCT
m-386	80	26	,	,	PUNCT
m-386	80	27	(	(	PUNCT
m-386	80	28	,	,	PUNCT
m-386	80	29	)	)	PUNCT
m-386	80	30	0	0	NUM
m-386	81	1	(	(	PUNCT
m-386	81	2	,	,	PUNCT
m-386	81	3	)	)	PUNCT
m-386	81	4	m	m	VERB
m-386	81	5	n	n	VERB
m-386	81	6	m	m	VERB
m-386	81	7	n	n	ADV
m-386	81	8	m	m	NOUN
m-386	81	9	n	n	ADJ
m-386	81	10	h	h	NOUN
m-386	82	1	k	k	NOUN
m-386	82	2	h	h	NOUN
m-386	83	1	k	k	NOUN
m-386	83	2	h	h	PROPN
m-386	84	1	k	k	NOUN
m-386	84	2	z	z	PROPN
m-386	85	1	w	w	PROPN
m-386	85	2	p	p	X
m-386	85	3	p	p	X
m-386	85	4	z	z	NOUN
m-386	85	5	w	w	NOUN
m-386	85	6			NUM
m-386	85	7			ADJ
m-386	85	8			X
m-386	85	9	.	.	PUNCT
m-386	86	1	let	let	VERB
m-386	86	2			PRON
m-386	86	3			PROPN
m-386	86	4	(	(	PUNCT
m-386	86	5	)	)	PUNCT
m-386	86	6	,	,	PUNCT
m-386	86	7	(	(	PUNCT
m-386	86	8	,	,	PUNCT
m-386	86	9	)	)	PUNCT
m-386	86	10	;	;	PUNCT
m-386	86	11	1,2i	1,2i	NUM
m-386	86	12	m	m	VERB
m-386	86	13	np	np	ADP
m-386	86	14	z	z	PROPN
m-386	86	15	w	w	PROPN
m-386	87	1	i	i	PRON
m-386	87	2			VERB
m-386	87	3	are	be	AUX
m-386	87	4	two	two	NUM
m-386	87	5	basic	basic	ADJ
m-386	87	6	sets	set	NOUN
m-386	87	7	of	of	ADP
m-386	87	8	polynomials	polynomial	NOUN
m-386	87	9	and	and	CCONJ
m-386	87	10	set	set	VERB
m-386	87	11			PROPN
m-386	87	12			PROPN
m-386	87	13	,	,	PUNCT
m-386	87	14	(	(	PUNCT
m-386	87	15	,	,	PUNCT
m-386	87	16	)	)	PUNCT
m-386	87	17	m	m	VERB
m-386	87	18	np	np	INTJ
m-386	87	19	z	z	PROPN
m-386	87	20	w	w	PROPN
m-386	87	21	is	be	AUX
m-386	87	22	called	call	VERB
m-386	87	23	the	the	DET
m-386	87	24	product	product	NOUN
m-386	87	25	set	set	VERB
m-386	87	26	of	of	ADP
m-386	87	27	two	two	NUM
m-386	87	28	sets	set	NOUN
m-386	87	29			PRON
m-386	87	30			PROPN
m-386	87	31	(	(	PUNCT
m-386	87	32	)	)	PUNCT
m-386	87	33	,	,	PUNCT
m-386	87	34	(	(	PUNCT
m-386	87	35	,	,	PUNCT
m-386	87	36	)	)	PUNCT
m-386	87	37	;	;	PUNCT
m-386	87	38	1,2i	1,2i	NUM
m-386	87	39	m	m	VERB
m-386	87	40	np	np	ADP
m-386	87	41	z	z	PROPN
m-386	88	1	w	w	PROPN
m-386	89	1	i	i	PRON
m-386	89	2			NOUN
m-386	89	3	(	(	PUNCT
m-386	89	4	see	see	VERB
m-386	89	5	[	[	X
m-386	89	6	1	1	NUM
m-386	89	7	,	,	PUNCT
m-386	89	8	11	11	NUM
m-386	89	9	,	,	PUNCT
m-386	89	10	12	12	NUM
m-386	89	11	,	,	PUNCT
m-386	89	12	13	13	NUM
m-386	89	13	]	]	NUM
m-386	89	14	)	)	PUNCT
m-386	89	15	,	,	PUNCT
m-386	89	16			PROPN
m-386	89	17			PROPN
m-386	89	18			PROPN
m-386	89	19			ADV
m-386	89	20	(1	(1	NOUN
m-386	89	21	)	)	PUNCT
m-386	89	22	(	(	PUNCT
m-386	89	23	2	2	NUM
m-386	89	24	)	)	PUNCT
m-386	89	25	,	,	PUNCT
m-386	89	26	,	,	PUNCT
m-386	89	27	,	,	PUNCT
m-386	89	28	(	(	PUNCT
m-386	89	29	,	,	PUNCT
m-386	89	30	)	)	PUNCT
m-386	89	31	(	(	PUNCT
m-386	89	32	,	,	PUNCT
m-386	89	33	)	)	PUNCT
m-386	89	34	(	(	PUNCT
m-386	89	35	,	,	PUNCT
m-386	89	36	)	)	PUNCT
m-386	89	37	m	m	VERB
m-386	89	38	n	n	VERB
m-386	89	39	m	m	VERB
m-386	89	40	n	n	ADV
m-386	89	41	m	m	VERB
m-386	89	42	np	np	INTJ
m-386	89	43	z	z	NOUN
m-386	89	44	w	w	PROPN
m-386	90	1	p	p	PROPN
m-386	90	2	z	z	PROPN
m-386	90	3	w	w	PROPN
m-386	90	4	p	p	PROPN
m-386	90	5	z	z	NOUN
m-386	90	6	w	w	NOUN
m-386	90	7	,	,	PUNCT
m-386	90	8	(	(	PUNCT
m-386	90	9	,	,	PUNCT
m-386	90	10	)	)	PUNCT
m-386	90	11	(	(	PUNCT
m-386	90	12	,	,	PUNCT
m-386	90	13	)	)	PUNCT
m-386	90	14	(	(	PUNCT
m-386	90	15	,	,	PUNCT
m-386	90	16	)	)	PUNCT
m-386	90	17	,	,	PUNCT
m-386	90	18	(	(	PUNCT
m-386	90	19	1	1	X
m-386	90	20	)	)	PUNCT
m-386	90	21	,	,	PUNCT
m-386	90	22	(	(	PUNCT
m-386	90	23	2	2	NUM
m-386	90	24	)	)	PUNCT
m-386	90	25	,	,	PUNCT
m-386	90	26	,	,	PUNCT
m-386	90	27	,	,	PUNCT
m-386	90	28	,	,	PUNCT
m-386	90	29	,	,	PUNCT
m-386	90	30	(	(	PUNCT
m-386	90	31	,	,	PUNCT
m-386	90	32	)	)	PUNCT
m-386	90	33	0	0	NUM
m-386	91	1	(	(	PUNCT
m-386	91	2	,	,	PUNCT
m-386	91	3	)	)	PUNCT
m-386	91	4	0	0	NUM
m-386	92	1	(	(	PUNCT
m-386	92	2	,	,	PUNCT
m-386	92	3	)	)	PUNCT
m-386	92	4	0	0	NUM
m-386	93	1	(	(	PUNCT
m-386	93	2	,	,	PUNCT
m-386	93	3	)	)	PUNCT
m-386	93	4	m	m	VERB
m-386	93	5	n	n	VERB
m-386	93	6	m	m	VERB
m-386	93	7	n	n	ADJ
m-386	93	8	h	h	NOUN
m-386	94	1	k	k	NOUN
m-386	94	2	m	m	VERB
m-386	94	3	n	n	VERB
m-386	94	4	h	h	NOUN
m-386	95	1	k	k	PROPN
m-386	95	2	s	s	PROPN
m-386	95	3	t	t	PROPN
m-386	95	4	h	h	NOUN
m-386	96	1	k	k	PROPN
m-386	96	2	h	h	PROPN
m-386	97	1	k	k	NOUN
m-386	97	2	m	m	VERB
m-386	98	1	n	n	VERB
m-386	98	2	h	h	NOUN
m-386	99	1	k	k	NOUN
m-386	99	2	m	m	VERB
m-386	99	3	n	n	PROPN
m-386	99	4	s	s	PROPN
m-386	99	5	t	t	NOUN
m-386	99	6	h	h	NOUN
m-386	100	1	k	k	PROPN
m-386	100	2	h	h	PROPN
m-386	101	1	k	k	PROPN
m-386	101	2	s	s	PROPN
m-386	101	3	t	t	PROPN
m-386	101	4	p	p	X
m-386	101	5	z	z	PROPN
m-386	101	6	w	w	PROPN
m-386	101	7	p	p	PROPN
m-386	101	8	z	z	PROPN
m-386	101	9	w	w	PROPN
m-386	101	10	p	p	X
m-386	101	11	p	p	PROPN
m-386	101	12	z	z	NOUN
m-386	101	13	w	w	NOUN
m-386	102	1			NUM
m-386	102	2			NUM
m-386	103	1			PRON
m-386	103	2			NUM
m-386	103	3			X
m-386	103	4			X
m-386	103	5			X
m-386	103	6	.	.	PUNCT
m-386	104	1	makky	makky	VERB
m-386	104	2	in	in	ADP
m-386	104	3	[	[	X
m-386	104	4	9	9	NUM
m-386	104	5	]	]	PUNCT
m-386	104	6	study	study	NOUN
m-386	104	7	effectiveness	effectiveness	NOUN
m-386	104	8	the	the	DET
m-386	104	9	similar	similar	ADJ
m-386	104	10	sets	set	NOUN
m-386	104	11	of	of	ADP
m-386	104	12	polynomials	polynomial	NOUN
m-386	104	13	of	of	ADP
m-386	104	14	a	a	DET
m-386	104	15	single	single	ADJ
m-386	104	16	complex	complex	ADJ
m-386	104	17	variable	variable	NOUN
m-386	104	18	when	when	SCONJ
m-386	104	19	each	each	PRON
m-386	104	20	of	of	ADP
m-386	104	21	the	the	DET
m-386	104	22	constituent	constituent	NOUN
m-386	104	23	sets	set	NOUN
m-386	104	24	is	be	AUX
m-386	104	25	basic	basic	ADJ
m-386	104	26	.	.	PUNCT
m-386	105	1	now	now	ADV
m-386	105	2	,	,	PUNCT
m-386	105	3	consider	consider	VERB
m-386	105	4	similar	similar	ADJ
m-386	105	5	sets	set	NOUN
m-386	105	6	of	of	ADP
m-386	105	7	polynomials	polynomial	NOUN
m-386	105	8	of	of	ADP
m-386	105	9	two	two	NUM
m-386	105	10	complex	complex	ADJ
m-386	105	11	variables	variable	NOUN
m-386	105	12	,	,	PUNCT
m-386	105	13	whenever	whenever	SCONJ
m-386	105	14	each	each	PRON
m-386	105	15	of	of	ADP
m-386	105	16	the	the	DET
m-386	105	17	constituent	constituent	NOUN
m-386	105	18	sets	set	NOUN
m-386	105	19	are	be	AUX
m-386	105	20	transposed	transpose	VERB
m-386	105	21	basic	basic	ADJ
m-386	105	22	sets	set	NOUN
m-386	105	23	.	.	PUNCT
m-386	106	1	definition	definition	NOUN
m-386	106	2	:	:	PUNCT
m-386	106	3	assume	assume	VERB
m-386	106	4	that	that	SCONJ
m-386	106	5			PROPN
m-386	106	6			PROPN
m-386	106	7	(	(	PUNCT
m-386	106	8	)	)	PUNCT
m-386	106	9	,	,	PUNCT
m-386	106	10	(	(	PUNCT
m-386	106	11	,	,	PUNCT
m-386	106	12	)	)	PUNCT
m-386	106	13	;	;	PUNCT
m-386	106	14	1,2i	1,2i	NUM
m-386	106	15	m	m	VERB
m-386	106	16	np	np	ADP
m-386	106	17	z	z	PROPN
m-386	106	18	w	w	PROPN
m-386	107	1	i	i	PRON
m-386	107	2			PRON
m-386	107	3	be	be	VERB
m-386	107	4	a	a	DET
m-386	107	5	transposed	transpose	VERB
m-386	107	6	basic	basic	ADJ
m-386	107	7	sets	set	NOUN
m-386	107	8	of	of	ADP
m-386	107	9	polynomials	polynomial	NOUN
m-386	107	10	;	;	PUNCT
m-386	107	11	and	and	CCONJ
m-386	107	12	let	let	VERB
m-386	107	13			PROPN
m-386	107	14			PROPN
m-386	107	15	,	,	PUNCT
m-386	107	16	(	(	PUNCT
m-386	107	17	,	,	PUNCT
m-386	107	18	)	)	PUNCT
m-386	107	19	m	m	VERB
m-386	107	20	nu	nu	INTJ
m-386	107	21	z	z	PROPN
m-386	107	22	w	w	PROPN
m-386	107	23	a	a	DET
m-386	107	24	basic	basic	ADJ
m-386	107	25	set	set	NOUN
m-386	107	26	of	of	ADP
m-386	107	27	polynomials	polynomial	NOUN
m-386	107	28	given	give	VERB
m-386	107	29	by	by	ADP
m-386	107	30	(	(	PUNCT
m-386	107	31	see	see	VERB
m-386	107	32	[	[	X
m-386	107	33	14	14	NUM
m-386	107	34	,	,	PUNCT
m-386	107	35	18	18	NUM
m-386	107	36	]	]	PUNCT
m-386	107	37	)	)	PUNCT
m-386	107	38	(	(	PUNCT
m-386	107	39	1.7	1.7	NUM
m-386	107	40	)	)	PUNCT
m-386	107	41			PROPN
m-386	107	42			PROPN
m-386	107	43			PROPN
m-386	107	44			ADV
m-386	107	45			ADV
m-386	107	46	(1	(1	VERB
m-386	107	47	)	)	PUNCT
m-386	107	48	(	(	PUNCT
m-386	107	49	2	2	NUM
m-386	107	50	)	)	PUNCT
m-386	107	51	(	(	PUNCT
m-386	107	52	1	1	NUM
m-386	107	53	)	)	PUNCT
m-386	107	54	,	,	PUNCT
m-386	107	55	,	,	PUNCT
m-386	107	56	,	,	PUNCT
m-386	107	57	,	,	PUNCT
m-386	107	58	(	(	PUNCT
m-386	107	59	,	,	PUNCT
m-386	107	60	)	)	PUNCT
m-386	107	61	(	(	PUNCT
m-386	107	62	,	,	PUNCT
m-386	107	63	)	)	PUNCT
m-386	107	64	(	(	PUNCT
m-386	107	65	,	,	PUNCT
m-386	107	66	)	)	PUNCT
m-386	107	67	(	(	PUNCT
m-386	107	68	,	,	PUNCT
m-386	107	69	)	)	PUNCT
m-386	107	70	m	m	VERB
m-386	107	71	n	n	VERB
m-386	107	72	m	m	VERB
m-386	107	73	n	n	PRON
m-386	107	74	m	m	NOUN
m-386	107	75	n	n	NOUN
m-386	107	76	m	m	NOUN
m-386	107	77	nu	nu	X
m-386	107	78	z	z	PROPN
m-386	107	79	w	w	PROPN
m-386	108	1	p	p	PROPN
m-386	108	2	z	z	PROPN
m-386	108	3	w	w	PROPN
m-386	108	4	q	q	PROPN
m-386	108	5	z	z	PROPN
m-386	108	6	w	w	PROPN
m-386	108	7	p	p	PROPN
m-386	108	8	z	z	NOUN
m-386	108	9	w	w	VERB
m-386	108	10	where	where	SCONJ
m-386	108	11	(	(	PUNCT
m-386	108	12	1.8	1.8	NUM
m-386	108	13	)	)	PUNCT
m-386	108	14	(	(	PUNCT
m-386	108	15	,	,	PUNCT
m-386	108	16	)	)	PUNCT
m-386	108	17	,	,	PUNCT
m-386	108	18	,	,	PUNCT
m-386	108	19	;	;	PUNCT
m-386	108	20	,	,	PUNCT
m-386	108	21	(	(	PUNCT
m-386	108	22	,	,	PUNCT
m-386	108	23	)	)	PUNCT
m-386	108	24	0	0	NUM
m-386	109	1	(	(	PUNCT
m-386	109	2	,	,	PUNCT
m-386	109	3	)	)	PUNCT
m-386	109	4	m	m	VERB
m-386	109	5	n	n	NUM
m-386	110	1	h	h	NOUN
m-386	111	1	k	k	NOUN
m-386	111	2	m	m	VERB
m-386	111	3	n	n	VERB
m-386	111	4	m	m	VERB
m-386	111	5	n	n	ADJ
m-386	111	6	h	h	NOUN
m-386	112	1	k	k	NOUN
m-386	112	2	h	h	NOUN
m-386	113	1	k	k	PROPN
m-386	113	2	u	u	PROPN
m-386	113	3	z	z	PROPN
m-386	113	4	w	w	PROPN
m-386	113	5	u	u	PROPN
m-386	113	6	z	z	PROPN
m-386	113	7	w	w	NOUN
m-386	113	8			NUM
m-386	113	9			NOUN
m-386	113	10			X
m-386	113	11	and	and	CCONJ
m-386	113	12	(	(	PUNCT
m-386	113	13	,	,	PUNCT
m-386	113	14	)	)	PUNCT
m-386	113	15	(	(	PUNCT
m-386	113	16	,	,	PUNCT
m-386	113	17	)	)	PUNCT
m-386	113	18	(	(	PUNCT
m-386	113	19	,	,	PUNCT
m-386	113	20	)	)	PUNCT
m-386	113	21	,	,	PUNCT
m-386	113	22	(	(	PUNCT
m-386	113	23	1	1	X
m-386	113	24	)	)	PUNCT
m-386	113	25	,	,	PUNCT
m-386	113	26	(	(	PUNCT
m-386	113	27	2	2	NUM
m-386	113	28	)	)	PUNCT
m-386	113	29	,	,	PUNCT
m-386	113	30	(	(	PUNCT
m-386	113	31	1	1	NUM
m-386	113	32	)	)	PUNCT
m-386	113	33	,	,	PUNCT
m-386	113	34	,	,	PUNCT
m-386	113	35	,	,	PUNCT
m-386	113	36	,	,	PUNCT
m-386	113	37	,	,	PUNCT
m-386	113	38	(	(	PUNCT
m-386	113	39	,	,	PUNCT
m-386	113	40	)	)	PUNCT
m-386	113	41	0	0	NUM
m-386	114	1	(	(	PUNCT
m-386	114	2	,	,	PUNCT
m-386	114	3	)	)	PUNCT
m-386	114	4	0	0	NUM
m-386	115	1	(	(	PUNCT
m-386	115	2	,	,	PUNCT
m-386	115	3	)	)	PUNCT
m-386	115	4	0	0	NUM
m-386	116	1	m	m	VERB
m-386	116	2	n	n	NUM
m-386	116	3	s	s	NOUN
m-386	116	4	t	t	NOUN
m-386	117	1	i	i	INTJ
m-386	117	2	j	j	PROPN
m-386	118	1	h	h	NOUN
m-386	119	1	k	k	PROPN
m-386	119	2	s	s	PROPN
m-386	119	3	t	t	X
m-386	120	1	i	i	PRON
m-386	120	2	j	j	PROPN
m-386	121	1	h	h	NOUN
m-386	122	1	k	k	PROPN
m-386	122	2	h	h	PROPN
m-386	123	1	k	k	NOUN
m-386	123	2	m	m	VERB
m-386	123	3	n	n	VERB
m-386	123	4	m	m	PROPN
m-386	123	5	n	n	PROPN
m-386	123	6	s	s	PROPN
m-386	123	7	t	t	NOUN
m-386	124	1	i	i	PRON
m-386	124	2	j	j	PROPN
m-386	124	3	s	s	PROPN
m-386	125	1	t	t	X
m-386	126	1	i	i	PRON
m-386	126	2	j	j	PROPN
m-386	126	3	h	h	NOUN
m-386	127	1	k	k	PROPN
m-386	127	2	u	u	PROPN
m-386	127	3	p	p	PROPN
m-386	127	4	p	p	PROPN
m-386	127	5	p	p	PROPN
m-386	127	6	z	z	NOUN
m-386	127	7	w	w	NOUN
m-386	128	1			NUM
m-386	129	1			ADJ
m-386	130	1			PRON
m-386	131	1			NOUN
m-386	131	2			X
m-386	131	3			X
m-386	131	4			X
m-386	131	5	.	.	PUNCT
m-386	132	1	that	that	PRON
m-386	132	2	can	can	AUX
m-386	132	3	also	also	ADV
m-386	132	4	,	,	PUNCT
m-386	132	5	be	be	AUX
m-386	132	6	written	write	VERB
m-386	132	7	in	in	ADP
m-386	132	8	the	the	DET
m-386	132	9	form	form	NOUN
m-386	132	10	(	(	PUNCT
m-386	132	11	,	,	PUNCT
m-386	132	12	)	)	PUNCT
m-386	132	13	(	(	PUNCT
m-386	132	14	,	,	PUNCT
m-386	132	15	)	)	PUNCT
m-386	132	16	(	(	PUNCT
m-386	132	17	,	,	PUNCT
m-386	132	18	)	)	PUNCT
m-386	132	19	,	,	PUNCT
m-386	132	20	(	(	PUNCT
m-386	132	21	1	1	X
m-386	132	22	)	)	PUNCT
m-386	132	23	,	,	PUNCT
m-386	132	24	(	(	PUNCT
m-386	132	25	2	2	NUM
m-386	132	26	)	)	PUNCT
m-386	132	27	,	,	PUNCT
m-386	132	28	(	(	PUNCT
m-386	132	29	1	1	NUM
m-386	132	30	)	)	PUNCT
m-386	132	31	,	,	PUNCT
m-386	132	32	,	,	PUNCT
m-386	132	33	,	,	PUNCT
m-386	132	34	,	,	PUNCT
m-386	132	35	,	,	PUNCT
m-386	132	36	(	(	PUNCT
m-386	132	37	,	,	PUNCT
m-386	132	38	)	)	PUNCT
m-386	132	39	0	0	NUM
m-386	133	1	(	(	PUNCT
m-386	133	2	,	,	PUNCT
m-386	133	3	)	)	PUNCT
m-386	133	4	0	0	NUM
m-386	134	1	(	(	PUNCT
m-386	134	2	,	,	PUNCT
m-386	134	3	)	)	PUNCT
m-386	134	4	0	0	NUM
m-386	135	1	m	m	VERB
m-386	135	2	n	n	NUM
m-386	135	3	s	s	NOUN
m-386	135	4	t	t	NOUN
m-386	136	1	i	i	INTJ
m-386	136	2	j	j	PROPN
m-386	137	1	h	h	NOUN
m-386	138	1	k	k	PROPN
m-386	138	2	m	m	VERB
m-386	138	3	n	n	PROPN
m-386	138	4	s	s	PROPN
m-386	138	5	t	t	NOUN
m-386	139	1	i	i	INTJ
m-386	139	2	j	j	PROPN
m-386	140	1	h	h	NOUN
m-386	141	1	k	k	PROPN
m-386	141	2	m	m	VERB
m-386	141	3	n	n	PROPN
m-386	141	4	s	s	PROPN
m-386	141	5	t	t	NOUN
m-386	142	1	i	i	INTJ
m-386	142	2	j	j	PROPN
m-386	143	1	h	h	NOUN
m-386	144	1	k	k	PROPN
m-386	144	2	s	s	PROPN
m-386	144	3	t	t	X
m-386	145	1	i	i	PRON
m-386	145	2	j	j	PROPN
m-386	145	3	h	h	NOUN
m-386	146	1	k	k	PROPN
m-386	146	2	u	u	PROPN
m-386	146	3	p	p	PROPN
m-386	146	4	p	p	PROPN
m-386	146	5	p	p	PROPN
m-386	146	6	z	z	NOUN
m-386	146	7	w	w	NOUN
m-386	147	1			NUM
m-386	148	1			ADJ
m-386	149	1			PRON
m-386	150	1			NOUN
m-386	150	2			X
m-386	150	3			X
m-386	150	4			X
m-386	150	5	.	.	PUNCT
m-386	151	1	then	then	ADV
m-386	151	2	the	the	DET
m-386	151	3	set	set	NOUN
m-386	151	4			PROPN
m-386	151	5			PROPN
m-386	151	6	,	,	PUNCT
m-386	151	7	(	(	PUNCT
m-386	151	8	,	,	PUNCT
m-386	151	9	)	)	PUNCT
m-386	151	10	m	m	VERB
m-386	151	11	nu	nu	PROPN
m-386	151	12	z	z	PROPN
m-386	151	13	w	w	PROPN
m-386	151	14	is	be	AUX
m-386	151	15	called	call	VERB
m-386	151	16	a	a	DET
m-386	151	17	similar	similar	ADJ
m-386	151	18	transposed	transpose	VERB
m-386	151	19	set	set	NOUN
m-386	151	20	of	of	ADP
m-386	151	21	polynomials	polynomial	NOUN
m-386	151	22	of	of	ADP
m-386	151	23	two	two	NUM
m-386	151	24	complex	complex	ADJ
m-386	151	25	variables	variable	NOUN
m-386	151	26	(	(	PUNCT
m-386	151	27	see	see	VERB
m-386	151	28	.e.g	.e.g	PUNCT
m-386	151	29	.	.	PUNCT
m-386	152	1	[	[	X
m-386	152	2	7	7	NUM
m-386	152	3	]	]	NUM
m-386	152	4	)	)	PUNCT
m-386	152	5	.	.	PUNCT
m-386	153	1	similar	similar	ADJ
m-386	153	2	transposed	transpose	VERB
m-386	153	3	sets	set	NOUN
m-386	154	1	while	while	SCONJ
m-386	154	2	theybasic	theybasic	ADJ
m-386	154	3	property	property	NOUN
m-386	154	4	forconfiguring	forconfigure	VERB
m-386	154	5	the	the	DET
m-386	154	6			PROPN
m-386	154	7			PROPN
m-386	154	8	(	(	PUNCT
m-386	154	9	)	)	PUNCT
m-386	154	10	,	,	PUNCT
m-386	154	11	(	(	PUNCT
m-386	154	12	,	,	PUNCT
m-386	154	13	)	)	PUNCT
m-386	154	14	;	;	PUNCT
m-386	154	15	1,2i	1,2i	NUM
m-386	154	16	m	m	VERB
m-386	154	17	np	np	ADP
m-386	154	18	z	z	PROPN
m-386	154	19	w	w	PROPN
m-386	155	1	i	i	PRON
m-386	155	2			VERB
m-386	155	3	are	be	AUX
m-386	155	4	basic	basic	ADJ
m-386	155	5	.	.	PUNCT
m-386	156	1	also	also	ADV
m-386	156	2	,	,	PUNCT
m-386	156	3	let	let	VERB
m-386	156	4	(	(	PUNCT
m-386	156	5	)	)	PUNCT
m-386	156	6	;	;	PUNCT
m-386	156	7	1,2ip	1,2ip	NUM
m-386	156	8	i	i	PRON
m-386	156	9			VERB
m-386	156	10	,	,	PUNCT
m-386	156	11	are	be	AUX
m-386	156	12	matrices	matrix	NOUN
m-386	156	13	of	of	ADP
m-386	156	14	coefficients	coefficient	NOUN
m-386	156	15	of	of	ADP
m-386	156	16	the	the	DET
m-386	156	17	sets	set	NOUN
m-386	156	18			PROPN
m-386	156	19			PROPN
m-386	156	20	(	(	PUNCT
m-386	156	21	)	)	PUNCT
m-386	156	22	,	,	PUNCT
m-386	156	23	(	(	PUNCT
m-386	156	24	,	,	PUNCT
m-386	156	25	)	)	PUNCT
m-386	156	26	;	;	PUNCT
m-386	156	27	1,2i	1,2i	NUM
m-386	156	28	m	m	VERB
m-386	156	29	np	np	ADP
m-386	156	30	z	z	PROPN
m-386	157	1	w	w	PROPN
m-386	158	1	i	i	PRON
m-386	158	2			ADV
m-386	158	3	,	,	PUNCT
m-386	158	4			PROPN
m-386	158	5			PROPN
m-386	158	6	(	(	PUNCT
m-386	158	7	)	)	PUNCT
m-386	158	8	(	(	PUNCT
m-386	158	9	)	)	PUNCT
m-386	158	10	,	,	PUNCT
m-386	158	11	,	,	PUNCT
m-386	158	12	i	i	PRON
m-386	159	1	i	i	PRON
m-386	159	2	h	h	VERB
m-386	160	1	k	k	VERB
m-386	160	2	m	m	VERB
m-386	160	3	np	np	INTJ
m-386	160	4	p	p	NOUN
m-386	161	1	and	and	CCONJ
m-386	161	2	the	the	DET
m-386	161	3	values	value	NOUN
m-386	161	4	u	u	NOUN
m-386	161	5	,	,	PUNCT
m-386	161	6	u	u	PROPN
m-386	161	7	are	be	AUX
m-386	161	8	matrices	matrix	NOUN
m-386	161	9	coefficients	coefficient	NOUN
m-386	161	10	of	of	ADP
m-386	161	11	the	the	DET
m-386	161	12	similar	similar	ADJ
m-386	161	13	transposed	transpose	VERB
m-386	161	14	sets	set	NOUN
m-386	162	1			PROPN
m-386	162	2			PROPN
m-386	162	3	,	,	PUNCT
m-386	162	4	(	(	PUNCT
m-386	162	5	,	,	PUNCT
m-386	162	6	)	)	PUNCT
m-386	162	7	m	m	VERB
m-386	162	8	nu	nu	PROPN
m-386	162	9	z	z	PROPN
m-386	162	10	w	w	PROPN
m-386	162	11	.	.	PUNCT
m-386	163	1	write	write	VERB
m-386	163	2	the	the	DET
m-386	163	3	matrices	matrix	NOUN
m-386	163	4	(	(	PUNCT
m-386	163	5	1	1	NUM
m-386	163	6	)	)	PUNCT
m-386	163	7	(	(	PUNCT
m-386	163	8	2	2	NUM
m-386	163	9	)	)	PUNCT
m-386	163	10	(	(	PUNCT
m-386	163	11	1)u	1)u	NUM
m-386	163	12	p	p	X
m-386	163	13	p	p	X
m-386	163	14	p	p	NOUN
m-386	164	1	and	and	CCONJ
m-386	164	2	(	(	PUNCT
m-386	164	3	1	1	X
m-386	164	4	)	)	PUNCT
m-386	164	5	(	(	PUNCT
m-386	164	6	2	2	NUM
m-386	164	7	)	)	PUNCT
m-386	164	8	(	(	PUNCT
m-386	164	9	1)u	1)u	NUM
m-386	164	10	p	p	X
m-386	164	11	p	p	NOUN
m-386	164	12	p	p	NOUN
m-386	165	1	,	,	PUNCT
m-386	165	2	then	then	ADV
m-386	165	3	we	we	PRON
m-386	165	4	get	get	VERB
m-386	165	5	(	(	PUNCT
m-386	165	6	1	1	NUM
m-386	165	7	)	)	PUNCT
m-386	165	8	(	(	PUNCT
m-386	165	9	2	2	NUM
m-386	165	10	)	)	PUNCT
m-386	165	11	(	(	PUNCT
m-386	165	12	1	1	X
m-386	165	13	)	)	PUNCT
m-386	165	14	(	(	PUNCT
m-386	165	15	1	1	X
m-386	165	16	)	)	PUNCT
m-386	165	17	(	(	PUNCT
m-386	165	18	2	2	NUM
m-386	165	19	)	)	PUNCT
m-386	165	20	(	(	PUNCT
m-386	165	21	1)uu	1)uu	PROPN
m-386	166	1	p	p	X
m-386	166	2	p	p	X
m-386	166	3	p	p	PROPN
m-386	166	4	p	p	X
m-386	166	5	p	p	X
m-386	166	6	p	p	ADJ
m-386	166	7	i	i	NOUN
m-386	166	8			PROPN
m-386	166	9	and	and	CCONJ
m-386	166	10	(	(	PUNCT
m-386	166	11	1	1	NUM
m-386	166	12	)	)	PUNCT
m-386	166	13	(	(	PUNCT
m-386	166	14	2	2	NUM
m-386	166	15	)	)	PUNCT
m-386	166	16	(	(	PUNCT
m-386	166	17	1	1	X
m-386	166	18	)	)	PUNCT
m-386	166	19	(	(	PUNCT
m-386	166	20	1	1	X
m-386	166	21	)	)	PUNCT
m-386	166	22	(	(	PUNCT
m-386	166	23	2	2	NUM
m-386	166	24	)	)	PUNCT
m-386	166	25	(	(	PUNCT
m-386	166	26	1)u	1)u	NUM
m-386	166	27	u	u	NOUN
m-386	166	28	p	p	NOUN
m-386	166	29	p	p	X
m-386	166	30	p	p	PROPN
m-386	166	31	p	p	X
m-386	166	32	p	p	X
m-386	166	33	p	p	ADJ
m-386	166	34	i	i	NOUN
m-386	167	1			ADV
m-386	167	2	where	where	SCONJ
m-386	167	3	i	i	PRON
m-386	167	4	is	be	AUX
m-386	167	5	unit	unit	NOUN
m-386	167	6	infinite	infinite	ADJ
m-386	167	7	matrix	matrix	NOUN
m-386	167	8	.	.	PUNCT
m-386	168	1	hence	hence	ADV
m-386	168	2	the	the	DET
m-386	168	3	matrix	matrix	NOUN
m-386	168	4	u	u	NOUN
m-386	168	5	of	of	ADP
m-386	168	6	coefficients	coefficient	NOUN
m-386	168	7	of	of	ADP
m-386	168	8	the	the	DET
m-386	168	9	set	set	NOUN
m-386	168	10			PROPN
m-386	168	11			PROPN
m-386	168	12	,	,	PUNCT
m-386	168	13	(	(	PUNCT
m-386	168	14	,	,	PUNCT
m-386	168	15	)	)	PUNCT
m-386	168	16	m	m	VERB
m-386	168	17	nu	nu	PROPN
m-386	168	18	z	z	PROPN
m-386	168	19	w	w	PROPN
m-386	168	20	has	have	VERB
m-386	168	21	a	a	DET
m-386	168	22	unique	unique	ADJ
m-386	168	23	inverse	inverse	NOUN
m-386	168	24	u	u	NOUN
m-386	168	25	,	,	PUNCT
m-386	168	26	therefore	therefore	ADV
m-386	168	27	the	the	DET
m-386	168	28	set	set	NOUN
m-386	168	29			PROPN
m-386	168	30			PROPN
m-386	168	31	,	,	PUNCT
m-386	168	32	(	(	PUNCT
m-386	168	33	,	,	PUNCT
m-386	168	34	)	)	PUNCT
m-386	168	35	m	m	VERB
m-386	168	36	nu	nu	PROPN
m-386	168	37	z	z	PROPN
m-386	168	38	w	w	PROPN
m-386	168	39	is	be	AUX
m-386	168	40	basic	basic	ADJ
m-386	168	41	.	.	PUNCT
m-386	169	1	ijo	ijo	PROPN
m-386	169	2	international	international	PROPN
m-386	169	3	journal	journal	PROPN
m-386	169	4	of	of	ADP
m-386	169	5	mathematics	mathematics	PROPN
m-386	169	6	volume	volume	PROPN
m-386	169	7	3|	3|	NUM
m-386	169	8	issue	issue	NOUN
m-386	169	9	12|	12|	NUM
m-386	169	10	december	december	PROPN
m-386	169	11	|	|	NOUN
m-386	169	12	2020	2020	NUM
m-386	169	13	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	169	14	3	3	NUM
m-386	169	15	2effectiveness	2effectiveness	NUM
m-386	169	16	of	of	ADP
m-386	169	17	similar	similar	ADJ
m-386	169	18	transposed	transpose	VERB
m-386	169	19	set	set	NOUN
m-386	169	20	of	of	ADP
m-386	169	21	polynomials	polynomial	NOUN
m-386	169	22	at	at	ADP
m-386	169	23	the	the	DET
m-386	169	24	origin	origin	NOUN
m-386	169	25	in	in	ADP
m-386	169	26	this	this	DET
m-386	169	27	section	section	NOUN
m-386	169	28	we	we	PRON
m-386	169	29	study	study	VERB
m-386	169	30	the	the	DET
m-386	169	31	effectiveness	effectiveness	NOUN
m-386	169	32	of	of	ADP
m-386	169	33	a	a	DET
m-386	169	34	similar	similar	ADJ
m-386	169	35	transposed	transpose	VERB
m-386	169	36	set	set	NOUN
m-386	169	37	of	of	ADP
m-386	169	38	polynomials	polynomial	NOUN
m-386	169	39			PROPN
m-386	169	40			PROPN
m-386	169	41	,	,	PUNCT
m-386	169	42	(	(	PUNCT
m-386	169	43	,	,	PUNCT
m-386	169	44	)	)	PUNCT
m-386	169	45	m	m	VERB
m-386	169	46	nu	nu	INTJ
m-386	169	47	z	z	PROPN
m-386	169	48	w	w	PROPN
m-386	169	49	two	two	NUM
m-386	169	50	complex	complex	ADJ
m-386	169	51	variables	variable	NOUN
m-386	169	52	,	,	PUNCT
m-386	169	53	at	at	ADP
m-386	169	54	the	the	DET
m-386	169	55	origin	origin	NOUN
m-386	169	56	with	with	ADP
m-386	169	57	normalizing	normalizing	ADJ
m-386	169	58	conditions	condition	NOUN
m-386	169	59	and	and	CCONJ
m-386	169	60			PRON
m-386	169	61			PROPN
m-386	169	62	(	(	PUNCT
m-386	169	63	)	)	PUNCT
m-386	169	64	,	,	PUNCT
m-386	169	65	(	(	PUNCT
m-386	169	66	,	,	PUNCT
m-386	169	67	)	)	PUNCT
m-386	169	68	;	;	PUNCT
m-386	169	69	1,2i	1,2i	NUM
m-386	169	70	m	m	VERB
m-386	169	71	np	np	ADP
m-386	169	72	z	z	PROPN
m-386	169	73	w	w	NOUN
m-386	170	1	i	i	PRON
m-386	170	2			PROPN
m-386	170	3	fulfil	fulfil	VERB
m-386	170	4	the	the	DET
m-386	170	5	following	follow	VERB
m-386	170	6	conditions	condition	NOUN
m-386	170	7	:	:	PUNCT
m-386	170	8	(	(	PUNCT
m-386	170	9	2.1	2.1	NUM
m-386	170	10	)	)	PUNCT
m-386	170	11	(	(	PUNCT
m-386	170	12	)	)	PUNCT
m-386	171	1	[	[	X
m-386	171	2	0	0	X
m-386	171	3	]	]	X
m-386	171	4	0i	0i	ADJ
m-386	171	5			ADJ
m-386	171	6			NUM
m-386	171	7	(	(	PUNCT
m-386	171	8	2.2	2.2	NUM
m-386	171	9	)	)	PUNCT
m-386	171	10	(	(	PUNCT
m-386	171	11	)	)	PUNCT
m-386	172	1	[	[	X
m-386	172	2	0	0	X
m-386	172	3	]	]	SYM
m-386	172	4	0	0	NUM
m-386	173	1	;	;	PUNCT
m-386	173	2	0i	0i	NOUN
m-386	173	3	r	r	PROPN
m-386	173	4			ADV
m-386	173	5			PROPN
m-386	173	6			VERB
m-386	173	7	where	where	SCONJ
m-386	173	8	(	(	PUNCT
m-386	173	9	2.3	2.3	NUM
m-386	173	10	)	)	PUNCT
m-386	173	11			NOUN
m-386	173	12			PROPN
m-386	173	13	1	1	NUM
m-386	173	14	(	(	PUNCT
m-386	173	15	)	)	PUNCT
m-386	173	16	(	(	PUNCT
m-386	173	17	)	)	PUNCT
m-386	173	18	,	,	PUNCT
m-386	173	19	,	,	PUNCT
m-386	173	20	[	[	X
m-386	173	21	0	0	X
m-386	173	22	]	]	X
m-386	173	23	limsup	limsup	NOUN
m-386	173	24	,	,	PUNCT
m-386	173	25	i	i	PRON
m-386	173	26	i	i	PRON
m-386	173	27	m	m	VERB
m-386	173	28	n	n	VERB
m-386	173	29	m	m	VERB
m-386	173	30	n	n	ADV
m-386	173	31	m	m	NOUN
m-386	173	32	n	n	PRON
m-386	173	33	m	m	NOUN
m-386	173	34	n	n	ADV
m-386	173	35	m	m	PROPN
m-386	173	36	p	p	NOUN
m-386	173	37	r	r	NUM
m-386	173	38			PROPN
m-386	173	39			X
m-386	173	40			PUNCT
m-386	173	41			PROPN
m-386	173	42			PROPN
m-386	173	43			SYM
m-386	173	44			PROPN
m-386	173	45			PROPN
m-386	173	46			PROPN
m-386	173	47	,	,	PUNCT
m-386	173	48	(	(	PUNCT
m-386	173	49	2.4	2.4	NUM
m-386	173	50	)	)	PUNCT
m-386	173	51			NOUN
m-386	173	52			PROPN
m-386	173	53	1	1	NUM
m-386	173	54	(	(	PUNCT
m-386	173	55	)	)	PUNCT
m-386	173	56	(	(	PUNCT
m-386	173	57	)	)	PUNCT
m-386	173	58	,	,	PUNCT
m-386	173	59	,	,	PUNCT
m-386	173	60	[	[	X
m-386	173	61	0	0	X
m-386	173	62	]	]	X
m-386	173	63	liminf	liminf	INTJ
m-386	173	64	,	,	PUNCT
m-386	173	65	i	i	PRON
m-386	173	66	i	i	PRON
m-386	173	67	m	m	VERB
m-386	173	68	n	n	VERB
m-386	173	69	m	m	VERB
m-386	173	70	n	n	ADV
m-386	173	71	m	m	NOUN
m-386	173	72	n	n	PRON
m-386	173	73	m	m	NOUN
m-386	173	74	n	n	ADV
m-386	173	75	m	m	PROPN
m-386	173	76	p	p	X
m-386	173	77	r	r	ADJ
m-386	173	78			PROPN
m-386	173	79			X
m-386	173	80			PUNCT
m-386	173	81			PROPN
m-386	173	82			PROPN
m-386	173	83			SYM
m-386	173	84			PROPN
m-386	173	85			NOUN
m-386	173	86			PROPN
m-386	173	87	whenever	whenever	SCONJ
m-386	173	88	(	(	PUNCT
m-386	173	89	)	)	PUNCT
m-386	173	90	(	(	PUNCT
m-386	173	91	)	)	PUNCT
m-386	173	92	,	,	PUNCT
m-386	173	93	,	,	PUNCT
m-386	173	94	,	,	PUNCT
m-386	173	95	max	max	PROPN
m-386	173	96	|	|	ADV
m-386	173	97	(	(	PUNCT
m-386	173	98	,	,	PUNCT
m-386	173	99	)	)	PUNCT
m-386	174	1	|	|	ADV
m-386	174	2	r	r	VERB
m-386	174	3	i	i	PRON
m-386	175	1	i	i	PRON
m-386	175	2	m	m	VERB
m-386	175	3	n	n	VERB
m-386	175	4	m	m	VERB
m-386	175	5	n	n	NOUN
m-386	175	6	s	s	NOUN
m-386	175	7	m	m	NOUN
m-386	175	8	p	p	NOUN
m-386	175	9	r	r	NOUN
m-386	175	10	p	p	NOUN
m-386	175	11	z	z	NOUN
m-386	175	12	w	w	NOUN
m-386	175	13			NOUN
m-386	175	14			PROPN
m-386	175	15			PROPN
m-386	175	16	.	.	PUNCT
m-386	176	1	therefore	therefore	ADV
m-386	176	2	the	the	DET
m-386	176	3	transposed	transpose	VERB
m-386	176	4	sets	set	NOUN
m-386	176	5			PROPN
m-386	176	6			PROPN
m-386	176	7	(	(	PUNCT
m-386	176	8	)	)	PUNCT
m-386	176	9	,	,	PUNCT
m-386	176	10	(	(	PUNCT
m-386	176	11	,	,	PUNCT
m-386	176	12	)	)	PUNCT
m-386	176	13	;	;	PUNCT
m-386	176	14	1,2i	1,2i	NUM
m-386	176	15	m	m	VERB
m-386	176	16	np	np	ADP
m-386	176	17	z	z	PROPN
m-386	176	18	w	w	PROPN
m-386	177	1	i	i	PRON
m-386	177	2			PRON
m-386	177	3	satisfy	satisfy	VERB
m-386	177	4	the	the	DET
m-386	177	5	conditions	condition	NOUN
m-386	177	6	:	:	PUNCT
m-386	177	7	(	(	PUNCT
m-386	177	8	2.5	2.5	NUM
m-386	177	9	)	)	PUNCT
m-386	177	10	(	(	PUNCT
m-386	177	11	)	)	PUNCT
m-386	178	1	[	[	X
m-386	178	2	0	0	X
m-386	178	3	]	]	X
m-386	178	4	0i	0i	ADJ
m-386	178	5			ADJ
m-386	178	6			NUM
m-386	178	7	(	(	PUNCT
m-386	178	8	2.6	2.6	NUM
m-386	178	9	)	)	PUNCT
m-386	178	10	(	(	PUNCT
m-386	178	11	)	)	PUNCT
m-386	179	1	[	[	X
m-386	179	2	0	0	X
m-386	179	3	]	]	SYM
m-386	179	4	0	0	NUM
m-386	179	5	;	;	PUNCT
m-386	179	6	0i	0i	X
m-386	179	7	r	r	PROPN
m-386	179	8			ADV
m-386	179	9			NOUN
m-386	179	10	where	where	SCONJ
m-386	179	11	(	(	PUNCT
m-386	179	12	2.7	2.7	NUM
m-386	179	13	)	)	SYM
m-386	179	14	1	1	NUM
m-386	179	15	(	(	PUNCT
m-386	179	16	)	)	PUNCT
m-386	179	17	(	(	PUNCT
m-386	179	18	)	)	PUNCT
m-386	179	19	,	,	PUNCT
m-386	179	20	,	,	PUNCT
m-386	179	21	1	1	NUM
m-386	179	22	[	[	X
m-386	179	23	0	0	X
m-386	179	24	]	]	X
m-386	179	25	limsup	limsup	NOUN
m-386	179	26	,	,	PUNCT
m-386	179	27	m	m	VERB
m-386	179	28	n	n	VERB
m-386	179	29	i	i	PRON
m-386	179	30	i	i	PRON
m-386	179	31	m	m	VERB
m-386	179	32	n	n	VERB
m-386	179	33	m	m	VERB
m-386	179	34	n	n	PRON
m-386	179	35	m	m	NOUN
m-386	179	36	n	n	ADV
m-386	179	37	m	m	NOUN
m-386	179	38	p	p	NOUN
m-386	179	39	r	r	NOUN
m-386	179	40			NOUN
m-386	179	41			PROPN
m-386	179	42			X
m-386	179	43			PUNCT
m-386	179	44			NOUN
m-386	179	45			ADV
m-386	179	46			VERB
m-386	179	47			NOUN
m-386	179	48			PUNCT
m-386	179	49			PROPN
m-386	179	50			NUM
m-386	179	51			VERB
m-386	179	52			NOUN
m-386	179	53			VERB
m-386	179	54			ADJ
m-386	179	55			PROPN
m-386	179	56	,	,	PUNCT
m-386	179	57	(	(	PUNCT
m-386	179	58	2.8	2.8	NUM
m-386	179	59	)	)	PUNCT
m-386	179	60	1	1	NUM
m-386	179	61	(	(	PUNCT
m-386	179	62	)	)	PUNCT
m-386	179	63	(	(	PUNCT
m-386	179	64	)	)	PUNCT
m-386	179	65	,	,	PUNCT
m-386	179	66	,	,	PUNCT
m-386	179	67	1	1	NUM
m-386	179	68	[	[	X
m-386	179	69	0	0	X
m-386	179	70	]	]	X
m-386	179	71	liminf	liminf	INTJ
m-386	179	72	,	,	PUNCT
m-386	179	73	m	m	VERB
m-386	179	74	n	n	VERB
m-386	180	1	i	i	PRON
m-386	181	1	i	i	PRON
m-386	181	2	m	m	VERB
m-386	181	3	n	n	VERB
m-386	181	4	m	m	VERB
m-386	181	5	n	n	PRON
m-386	181	6	m	m	NOUN
m-386	181	7	n	n	ADV
m-386	181	8	m	m	NOUN
m-386	181	9	p	p	NOUN
m-386	181	10	r	r	NOUN
m-386	181	11			NOUN
m-386	181	12			PROPN
m-386	181	13			X
m-386	181	14			PUNCT
m-386	181	15			NOUN
m-386	181	16			ADV
m-386	181	17			VERB
m-386	181	18			NOUN
m-386	181	19			PUNCT
m-386	182	1			PROPN
m-386	183	1			NUM
m-386	183	2			VERB
m-386	183	3			NOUN
m-386	183	4			VERB
m-386	183	5			NOUN
m-386	183	6			PROPN
m-386	183	7	and	and	CCONJ
m-386	183	8	(	(	PUNCT
m-386	183	9	)	)	PUNCT
m-386	183	10	(	(	PUNCT
m-386	183	11	)	)	PUNCT
m-386	183	12	,	,	PUNCT
m-386	183	13	,	,	PUNCT
m-386	183	14	1	1	NUM
m-386	183	15	,	,	PUNCT
m-386	183	16	max	max	PROPN
m-386	183	17	|	|	ADV
m-386	183	18	(	(	PUNCT
m-386	183	19	,	,	PUNCT
m-386	183	20	)	)	PUNCT
m-386	184	1	|	|	ADV
m-386	184	2	r	r	VERB
m-386	184	3	i	i	PRON
m-386	185	1	i	i	PRON
m-386	185	2	m	m	VERB
m-386	185	3	n	n	VERB
m-386	185	4	m	m	VERB
m-386	185	5	n	n	NOUN
m-386	185	6	s	s	NOUN
m-386	185	7	m	m	NOUN
m-386	185	8	p	p	NOUN
m-386	185	9	p	p	PROPN
m-386	185	10	z	z	PROPN
m-386	185	11	w	w	PROPN
m-386	185	12	r	r	NOUN
m-386	185	13			PROPN
m-386	185	14			NOUN
m-386	185	15			NOUN
m-386	185	16			NOUN
m-386	185	17			VERB
m-386	185	18			PROPN
m-386	185	19	.	.	PUNCT
m-386	186	1	also	also	ADV
m-386	186	2	,	,	PUNCT
m-386	186	3	the	the	DET
m-386	186	4	transposed	transpose	VERB
m-386	186	5	inverse	inverse	NOUN
m-386	186	6	set	set	AUX
m-386	186	7			PROPN
m-386	186	8	(1	(1	PROPN
m-386	186	9	)	)	PUNCT
m-386	186	10	,	,	PUNCT
m-386	186	11	(	(	PUNCT
m-386	186	12	,	,	PUNCT
m-386	186	13	)	)	PUNCT
m-386	186	14	m	m	VERB
m-386	186	15	np	np	INTJ
m-386	186	16	z	z	NOUN
m-386	186	17	w	w	NOUN
m-386	186	18	satisfy	satisfy	VERB
m-386	186	19	the	the	DET
m-386	186	20	following	follow	VERB
m-386	186	21	conditions	condition	NOUN
m-386	186	22	:	:	PUNCT
m-386	186	23	(	(	PUNCT
m-386	186	24	2.9	2.9	NUM
m-386	186	25	)	)	PUNCT
m-386	186	26	(	(	PUNCT
m-386	186	27	1)[0	1)[0	NUM
m-386	186	28	]	]	PUNCT
m-386	186	29	0	0	PROPN
m-386	186	30			ADJ
m-386	187	1			NUM
m-386	187	2	(	(	PUNCT
m-386	187	3	2.10	2.10	NUM
m-386	187	4	)	)	PUNCT
m-386	187	5	1	1	NUM
m-386	187	6	(	(	PUNCT
m-386	187	7	1	1	NUM
m-386	187	8	)	)	PUNCT
m-386	187	9	(	(	PUNCT
m-386	187	10	1	1	NUM
m-386	187	11	)	)	PUNCT
m-386	187	12	,	,	PUNCT
m-386	187	13	,	,	PUNCT
m-386	187	14	1	1	NUM
m-386	187	15	[	[	X
m-386	187	16	0	0	X
m-386	187	17	]	]	X
m-386	187	18	limsup	limsup	NOUN
m-386	187	19	,	,	PUNCT
m-386	187	20	m	m	VERB
m-386	187	21	n	n	PRON
m-386	187	22	m	m	VERB
m-386	187	23	n	n	ADV
m-386	187	24	m	m	NOUN
m-386	187	25	n	n	PRON
m-386	187	26	m	m	NOUN
m-386	187	27	n	n	ADV
m-386	187	28	m	m	NOUN
m-386	187	29	p	p	NOUN
m-386	187	30	r	r	NOUN
m-386	187	31			NOUN
m-386	187	32			PROPN
m-386	187	33			X
m-386	187	34			PUNCT
m-386	187	35			NOUN
m-386	187	36			ADV
m-386	187	37			VERB
m-386	187	38			NOUN
m-386	187	39			PUNCT
m-386	187	40			PROPN
m-386	188	1			NUM
m-386	188	2			VERB
m-386	188	3			NOUN
m-386	188	4			VERB
m-386	188	5			ADJ
m-386	188	6			PROPN
m-386	188	7	,	,	PUNCT
m-386	188	8	to	to	PART
m-386	188	9	study	study	VERB
m-386	188	10	the	the	DET
m-386	188	11	effectiveness	effectiveness	NOUN
m-386	188	12	of	of	ADP
m-386	188	13	similar	similar	ADJ
m-386	188	14	transposed	transpose	VERB
m-386	188	15	set	set	NOUN
m-386	188	16	of	of	ADP
m-386	188	17	polynomials	polynomial	NOUN
m-386	188	18	at	at	ADP
m-386	188	19	the	the	DET
m-386	188	20	origin	origin	NOUN
m-386	188	21	,	,	PUNCT
m-386	188	22	we	we	PRON
m-386	188	23	present	present	VERB
m-386	188	24	at	at	ADP
m-386	188	25	the	the	DET
m-386	188	26	beginning	beginning	NOUN
m-386	188	27	some	some	DET
m-386	188	28	lemmas	lemma	NOUN
m-386	188	29	that	that	PRON
m-386	188	30	explain	explain	VERB
m-386	188	31	this	this	DET
m-386	188	32	experiment	experiment	NOUN
m-386	188	33	in	in	ADP
m-386	188	34	preparation	preparation	NOUN
m-386	188	35	to	to	PART
m-386	188	36	prove	prove	VERB
m-386	188	37	this	this	DET
m-386	188	38	effectiveness	effectiveness	NOUN
m-386	188	39	.	.	PUNCT
m-386	189	1	lemma	lemma	PROPN
m-386	189	2	(	(	PUNCT
m-386	189	3	2.1	2.1	NUM
m-386	189	4	):	):	PUNCT
m-386	189	5	following	follow	VERB
m-386	189	6	set	set	VERB
m-386	189	7			PROPN
m-386	189	8			PROPN
m-386	189	9	(	(	PUNCT
m-386	189	10	,	,	PUNCT
m-386	189	11	)	)	PUNCT
m-386	189	12	jp	jp	NOUN
m-386	189	13	z	z	NOUN
m-386	189	14	w	w	NOUN
m-386	189	15	satisfies	satisfy	VERB
m-386	189	16	the	the	DET
m-386	189	17	condition	condition	NOUN
m-386	189	18	(	(	PUNCT
m-386	189	19	2.1	2.1	NUM
m-386	189	20	)	)	PUNCT
m-386	189	21	,	,	PUNCT
m-386	189	22	then	then	ADV
m-386	189	23	the	the	DET
m-386	189	24	transposed	transpose	VERB
m-386	189	25	power	power	NOUN
m-386	189	26	set	set	VERB
m-386	189	27			PROPN
m-386	189	28			PROPN
m-386	189	29	(	(	PUNCT
m-386	189	30	,	,	PUNCT
m-386	189	31	)	)	PUNCT
m-386	189	32	m	m	PROPN
m-386	190	1	jp	jp	NOUN
m-386	190	2	z	z	NOUN
m-386	190	3	w	w	NOUN
m-386	190	4	satisfies	satisfy	VERB
m-386	190	5	the	the	DET
m-386	190	6	condition	condition	NOUN
m-386	190	7	[	[	X
m-386	190	8	0	0	X
m-386	190	9	]	]	X
m-386	190	10	0m	0m	NOUN
m-386	190	11			ADJ
m-386	190	12			PROPN
m-386	190	13	.	.	PUNCT
m-386	191	1	proof	proof	NOUN
m-386	191	2	:	:	PUNCT
m-386	191	3	by	by	ADP
m-386	191	4	transposed	transpose	VERB
m-386	191	5	product	product	NOUN
m-386	191	6	set	set	NOUN
m-386	191	7	,	,	PUNCT
m-386	191	8	write	write	VERB
m-386	191	9	the	the	DET
m-386	191	10	square	square	NOUN
m-386	191	11	transposed	transpose	VERB
m-386	191	12	set	set	VERB
m-386	191	13			PROPN
m-386	191	14	2	2	NOUN
m-386	191	15	(	(	PUNCT
m-386	191	16	,	,	PUNCT
m-386	191	17	)	)	PUNCT
m-386	191	18	jp	jp	NOUN
m-386	191	19	z	z	NOUN
m-386	192	1	w	w	ADP
m-386	192	2	where	where	SCONJ
m-386	192	3			PRON
m-386	192	4			PROPN
m-386	192	5			PROPN
m-386	192	6			NOUN
m-386	192	7	2	2	NOUN
m-386	192	8	(	(	PUNCT
m-386	192	9	,	,	PUNCT
m-386	192	10	)	)	PUNCT
m-386	192	11	(	(	PUNCT
m-386	192	12	,	,	PUNCT
m-386	192	13	)	)	PUNCT
m-386	192	14	(	(	PUNCT
m-386	192	15	,	,	PUNCT
m-386	192	16	)	)	PUNCT
m-386	192	17	j	j	PROPN
m-386	192	18	j	j	PROPN
m-386	192	19	jp	jp	PROPN
m-386	193	1	z	z	PROPN
m-386	193	2	w	w	PROPN
m-386	194	1	p	p	PROPN
m-386	194	2	z	z	PROPN
m-386	194	3	w	w	PROPN
m-386	194	4	p	p	PROPN
m-386	194	5	z	z	AUX
m-386	194	6	w	w	VERB
m-386	194	7	ijo	ijo	PROPN
m-386	194	8	international	international	PROPN
m-386	194	9	journal	journal	PROPN
m-386	194	10	of	of	ADP
m-386	194	11	mathematics	mathematics	PROPN
m-386	194	12	volume	volume	PROPN
m-386	194	13	3|	3|	NUM
m-386	194	14	issue	issue	NOUN
m-386	195	1	12|	12|	NUM
m-386	195	2	december	december	PROPN
m-386	195	3	|	|	NOUN
m-386	195	4	2020	2020	NUM
m-386	195	5	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	195	6	4	4	NUM
m-386	195	7	then	then	ADV
m-386	195	8	the	the	DET
m-386	195	9	square	square	ADJ
m-386	195	10	set	set	NOUN
m-386	195	11	is	be	AUX
m-386	195	12	the	the	DET
m-386	195	13	transposed	transpose	VERB
m-386	195	14	product	product	NOUN
m-386	195	15	set	set	VERB
m-386	195	16	of	of	ADP
m-386	195	17	two	two	NUM
m-386	195	18	coincident	coincident	ADJ
m-386	195	19	sets	set	NOUN
m-386	195	20	,	,	PUNCT
m-386	195	21	each	each	PRON
m-386	195	22	of	of	ADP
m-386	195	23	which	which	PRON
m-386	195	24	satisfies	satisfy	VERB
m-386	195	25	the	the	DET
m-386	195	26	condition	condition	NOUN
m-386	195	27	(	(	PUNCT
m-386	195	28	2.5	2.5	NUM
m-386	195	29	)	)	PUNCT
m-386	195	30	,	,	PUNCT
m-386	195	31	then	then	ADV
m-386	195	32	the	the	DET
m-386	195	33	set	set	ADJ
m-386	195	34			PROPN
m-386	195	35	2	2	NOUN
m-386	195	36	(	(	PUNCT
m-386	195	37	,	,	PUNCT
m-386	195	38	)	)	PUNCT
m-386	195	39	jp	jp	NOUN
m-386	195	40	z	z	NOUN
m-386	195	41	w	w	NOUN
m-386	195	42	satisfies	satisfie	NOUN
m-386	195	43	condition	condition	NOUN
m-386	195	44	2	2	NUM
m-386	196	1	[	[	X
m-386	196	2	0	0	X
m-386	196	3	]	]	PUNCT
m-386	196	4	0	0	PROPN
m-386	196	5			PROPN
m-386	196	6			PROPN
m-386	196	7	.	.	PUNCT
m-386	197	1	power	power	NOUN
m-386	197	2	setthetherefore	setthetherefore	PROPN
m-386	198	1			PROPN
m-386	198	2			PROPN
m-386	198	3	(	(	PUNCT
m-386	198	4	,	,	PUNCT
m-386	198	5	)	)	PUNCT
m-386	198	6	m	m	PROPN
m-386	199	1	jp	jp	NOUN
m-386	199	2	z	z	NOUN
m-386	199	3	w	w	PROPN
m-386	199	4	satisfies	satisfie	NOUN
m-386	199	5	condition	condition	NOUN
m-386	199	6	[	[	X
m-386	199	7	0	0	X
m-386	199	8	]	]	X
m-386	199	9	0m	0m	NOUN
m-386	199	10			ADV
m-386	200	1			NUM
m-386	200	2	setand	setand	NOUN
m-386	200	3	the	the	DET
m-386	200	4			PROPN
m-386	200	5	1	1	PROPN
m-386	200	6	(	(	PUNCT
m-386	200	7	,	,	PUNCT
m-386	200	8	)	)	PUNCT
m-386	200	9	m	m	NOUN
m-386	201	1	jp	jp	NOUN
m-386	201	2	z	z	X
m-386	201	3	w	w	PROPN
m-386	201	4	is	be	AUX
m-386	201	5	transposed	transpose	VERB
m-386	201	6	product	product	NOUN
m-386	201	7	of	of	ADP
m-386	201	8	two	two	NUM
m-386	201	9	sets	set	NOUN
m-386	201	10			PRON
m-386	201	11			PROPN
m-386	201	12	(	(	PUNCT
m-386	201	13	,	,	PUNCT
m-386	201	14	)	)	PUNCT
m-386	201	15	jp	jp	NOUN
m-386	201	16	z	z	PROPN
m-386	201	17	w	w	PROPN
m-386	201	18	and	and	CCONJ
m-386	201	19			PROPN
m-386	201	20			PROPN
m-386	201	21	(	(	PUNCT
m-386	201	22	,	,	PUNCT
m-386	201	23	)	)	PUNCT
m-386	201	24	m	m	PROPN
m-386	202	1	jp	jp	NOUN
m-386	202	2	z	z	NOUN
m-386	202	3	w	w	PROPN
m-386	202	4	as	as	SCONJ
m-386	202	5	follows	follow	VERB
m-386	202	6	:	:	PUNCT
m-386	202	7			PROPN
m-386	202	8			PROPN
m-386	202	9			PROPN
m-386	203	1			ADV
m-386	203	2	1	1	X
m-386	203	3	(	(	PUNCT
m-386	203	4	,	,	PUNCT
m-386	203	5	)	)	PUNCT
m-386	203	6	(	(	PUNCT
m-386	203	7	,	,	PUNCT
m-386	203	8	)	)	PUNCT
m-386	203	9	(	(	PUNCT
m-386	203	10	,	,	PUNCT
m-386	203	11	)	)	PUNCT
m-386	203	12	m	m	VERB
m-386	203	13	m	m	VERB
m-386	203	14	j	j	PROPN
m-386	203	15	j	j	PROPN
m-386	203	16	jp	jp	PROPN
m-386	203	17	z	z	PROPN
m-386	203	18	w	w	PROPN
m-386	204	1	p	p	PROPN
m-386	204	2	z	z	PROPN
m-386	204	3	w	w	PROPN
m-386	204	4	p	p	PROPN
m-386	204	5	z	z	X
m-386	204	6	w	w	NUM
m-386	204	7			NUM
m-386	204	8	which	which	PRON
m-386	204	9	satisfies	satisfy	VERB
m-386	204	10	respective	respective	ADJ
m-386	204	11	conditions	condition	NOUN
m-386	204	12	(	(	PUNCT
m-386	204	13	2.5	2.5	NUM
m-386	204	14	)	)	PUNCT
m-386	204	15	and	and	CCONJ
m-386	204	16	[	[	X
m-386	204	17	0	0	X
m-386	204	18	]	]	X
m-386	204	19	0m	0m	NOUN
m-386	205	1			ADJ
m-386	205	2			PRON
m-386	205	3	,	,	PUNCT
m-386	205	4	then	then	ADV
m-386	205	5	the	the	DET
m-386	205	6	power	power	NOUN
m-386	205	7	set	set	VERB
m-386	205	8			PROPN
m-386	205	9	1	1	PROPN
m-386	205	10	(	(	PUNCT
m-386	205	11	,	,	PUNCT
m-386	205	12	)	)	PUNCT
m-386	205	13	m	m	NOUN
m-386	205	14	jp	jp	NOUN
m-386	205	15	z	z	PROPN
m-386	205	16	w	w	PROPN
m-386	205	17	conditionsatisfies	conditionsatisfie	VERB
m-386	206	1	1	1	NUM
m-386	206	2	[	[	X
m-386	206	3	0	0	X
m-386	206	4	]	]	SYM
m-386	206	5	0	0	NUM
m-386	206	6	m	m	VERB
m-386	206	7			PROPN
m-386	206	8			ADV
m-386	206	9			NOUN
m-386	206	10	and	and	CCONJ
m-386	206	11	lemmathisthatofproofthe	lemmathisthatofproofthe	PROPN
m-386	206	12	follows	follow	VERB
m-386	206	13	,	,	PUNCT
m-386	206	14	by	by	ADP
m-386	206	15	induction	induction	NOUN
m-386	206	16	.	.	PUNCT
m-386	207	1	lemma	lemma	PROPN
m-386	207	2	(	(	PUNCT
m-386	207	3	2.2	2.2	NUM
m-386	207	4	):	):	PUNCT
m-386	207	5	following	follow	VERB
m-386	207	6	transposed	transpose	VERB
m-386	207	7	sets	set	NOUN
m-386	207	8			PROPN
m-386	207	9			PROPN
m-386	207	10	(	(	PUNCT
m-386	207	11	)	)	PUNCT
m-386	207	12	,	,	PUNCT
m-386	207	13	(	(	PUNCT
m-386	207	14	,	,	PUNCT
m-386	207	15	)	)	PUNCT
m-386	207	16	;	;	PUNCT
m-386	207	17	1,2i	1,2i	NUM
m-386	207	18	m	m	VERB
m-386	207	19	np	np	ADP
m-386	207	20	z	z	PROPN
m-386	207	21	w	w	PROPN
m-386	208	1	i	i	PRON
m-386	208	2			VERB
m-386	208	3	satisfy	satisfy	VERB
m-386	208	4	the	the	DET
m-386	208	5	condition	condition	NOUN
m-386	208	6	(	(	PUNCT
m-386	208	7	2.5	2.5	NUM
m-386	208	8	)	)	PUNCT
m-386	208	9	and	and	CCONJ
m-386	208	10	the	the	DET
m-386	208	11	set	set	VERB
m-386	208	12			PROPN
m-386	208	13	(1	(1	PROPN
m-386	208	14	)	)	PUNCT
m-386	208	15	,	,	PUNCT
m-386	208	16	(	(	PUNCT
m-386	208	17	,	,	PUNCT
m-386	208	18	)	)	PUNCT
m-386	208	19	m	m	VERB
m-386	208	20	np	np	INTJ
m-386	208	21	z	z	NOUN
m-386	208	22	w	w	PROPN
m-386	208	23	is	be	AUX
m-386	208	24	algebraic	algebraic	PROPN
m-386	208	25	one	one	NUM
m-386	208	26	,	,	PUNCT
m-386	208	27	then	then	ADV
m-386	208	28	the	the	DET
m-386	208	29	similar	similar	ADJ
m-386	208	30	transposed	transpose	VERB
m-386	208	31	set	set	NOUN
m-386	208	32			PROPN
m-386	208	33			PROPN
m-386	208	34	,	,	PUNCT
m-386	208	35	(	(	PUNCT
m-386	208	36	,	,	PUNCT
m-386	208	37	)	)	PUNCT
m-386	208	38	m	m	VERB
m-386	208	39	nu	nu	PROPN
m-386	208	40	z	z	PROPN
m-386	208	41	w	w	PROPN
m-386	208	42	holds	hold	VERB
m-386	208	43	:	:	PUNCT
m-386	208	44	(	(	PUNCT
m-386	209	1	2.11	2.11	NUM
m-386	209	2	)	)	PUNCT
m-386	209	3			NOUN
m-386	209	4			PROPN
m-386	209	5	1	1	NUM
m-386	209	6	,	,	PUNCT
m-386	209	7	,	,	PUNCT
m-386	209	8	[	[	X
m-386	209	9	0	0	X
m-386	209	10	]	]	PUNCT
m-386	209	11	limsup	limsup	PROPN
m-386	209	12	max	max	PROPN
m-386	209	13	(	(	PUNCT
m-386	209	14	,	,	PUNCT
m-386	209	15	)	)	PUNCT
m-386	209	16	0	0	PUNCT
m-386	210	1	r	r	NOUN
m-386	210	2	m	m	VERB
m-386	210	3	n	n	VERB
m-386	210	4	m	m	PROPN
m-386	210	5	n	n	ADV
m-386	210	6	mn	mn	PROPN
m-386	211	1	sm	sm	PROPN
m-386	211	2	n	n	PROPN
m-386	211	3	u	u	PROPN
m-386	211	4	z	z	PROPN
m-386	211	5	w	w	PROPN
m-386	211	6			PROPN
m-386	211	7			X
m-386	211	8			PUNCT
m-386	211	9			PROPN
m-386	211	10			PROPN
m-386	211	11			PROPN
m-386	211	12			NOUN
m-386	211	13	.	.	PUNCT
m-386	212	1	proof	proof	NOUN
m-386	212	2	:	:	PUNCT
m-386	212	3	let	let	VERB
m-386	212	4	the	the	DET
m-386	212	5	set	set	VERB
m-386	212	6			PROPN
m-386	212	7	(1	(1	PROPN
m-386	212	8	)	)	PUNCT
m-386	212	9	,	,	PUNCT
m-386	212	10	(	(	PUNCT
m-386	212	11	,	,	PUNCT
m-386	212	12	)	)	PUNCT
m-386	212	13	mnp	mnp	PROPN
m-386	212	14	z	z	PROPN
m-386	212	15	w	w	NOUN
m-386	212	16	satisfies	satisfy	VERB
m-386	212	17	the	the	DET
m-386	212	18	condition	condition	NOUN
m-386	212	19	(	(	PUNCT
m-386	212	20	2.5	2.5	NUM
m-386	212	21	)	)	PUNCT
m-386	212	22	and	and	CCONJ
m-386	212	23	by	by	ADP
m-386	212	24	lemma	lemma	PROPN
m-386	212	25	(	(	PUNCT
m-386	212	26	2.1	2.1	NUM
m-386	212	27	)	)	PUNCT
m-386	212	28	,	,	PUNCT
m-386	212	29	it	it	PRON
m-386	212	30	follows	follow	VERB
m-386	212	31	that	that	SCONJ
m-386	212	32	power	power	NOUN
m-386	212	33	set	set	VERB
m-386	212	34			PROPN
m-386	212	35	(1	(1	PROPN
m-386	212	36	)	)	PUNCT
m-386	212	37	,	,	PUNCT
m-386	212	38	(	(	PUNCT
m-386	212	39	,	,	PUNCT
m-386	212	40	)	)	PUNCT
m-386	213	1	j	j	PROPN
m-386	213	2	m	m	VERB
m-386	213	3	np	np	INTJ
m-386	213	4	z	z	PROPN
m-386	213	5	w	w	PROPN
m-386	213	6	accords	accord	NOUN
m-386	213	7	the	the	DET
m-386	213	8	condition	condition	NOUN
m-386	213	9	(	(	PUNCT
m-386	213	10	1	1	NUM
m-386	213	11	)	)	PUNCT
m-386	213	12	,	,	PUNCT
m-386	214	1	[	[	X
m-386	214	2	0	0	X
m-386	214	3	]	]	PUNCT
m-386	214	4	0j	0j	NOUN
m-386	214	5	m	m	VERB
m-386	214	6	n	n	X
m-386	214	7			ADV
m-386	214	8			NOUN
m-386	214	9	.	.	PUNCT
m-386	215	1	hence	hence	ADV
m-386	215	2	by	by	ADP
m-386	215	3	(	(	PUNCT
m-386	215	4	2.7	2.7	NUM
m-386	215	5	)	)	PUNCT
m-386	215	6	we	we	PRON
m-386	215	7	get	get	VERB
m-386	215	8	(	(	PUNCT
m-386	215	9	2.12	2.12	NUM
m-386	215	10	)	)	PUNCT
m-386	215	11	(	(	PUNCT
m-386	215	12	1	1	NUM
m-386	215	13	)	)	PUNCT
m-386	215	14	,	,	PUNCT
m-386	215	15	,	,	PUNCT
m-386	215	16	1	1	NUM
m-386	215	17	1	1	NUM
m-386	215	18	2	2	NUM
m-386	215	19	,	,	PUNCT
m-386	215	20	;	;	PUNCT
m-386	215	21	,	,	PUNCT
m-386	215	22	0	0	NUM
m-386	215	23	,	,	PUNCT
m-386	215	24	1.j	1.j	NUM
m-386	215	25	m	m	NOUN
m-386	215	26	n	n	PRON
m-386	215	27	m	m	VERB
m-386	215	28	n	n	ADV
m-386	215	29	m	m	VERB
m-386	215	30	nm	nm	ADJ
m-386	215	31	p	p	NOUN
m-386	215	32	r	r	NOUN
m-386	215	33	k	k	NOUN
m-386	215	34	r	r	NOUN
m-386	215	35	m	m	VERB
m-386	215	36	n	n	ADJ
m-386	215	37	j	j	NOUN
m-386	215	38			PROPN
m-386	215	39			ADV
m-386	215	40			NUM
m-386	215	41			NUM
m-386	215	42			PROPN
m-386	215	43	if	if	SCONJ
m-386	215	44	the	the	DET
m-386	215	45	set	set	NOUN
m-386	215	46			PROPN
m-386	215	47	(1	(1	PROPN
m-386	215	48	)	)	PUNCT
m-386	215	49	,	,	PUNCT
m-386	215	50	(	(	PUNCT
m-386	215	51	,	,	PUNCT
m-386	215	52	)	)	PUNCT
m-386	215	53	m	m	VERB
m-386	216	1	np	np	INTJ
m-386	216	2	z	z	NOUN
m-386	216	3	w	w	NOUN
m-386	216	4	is	be	AUX
m-386	216	5	an	an	DET
m-386	216	6	algebraic	algebraic	ADJ
m-386	216	7	set	set	NOUN
m-386	216	8	then	then	ADV
m-386	216	9	we	we	PRON
m-386	216	10	get	get	VERB
m-386	216	11	(	(	PUNCT
m-386	216	12	2.13	2.13	NUM
m-386	216	13	)	)	PUNCT
m-386	216	14	1	1	NUM
m-386	216	15	(	(	PUNCT
m-386	216	16	)	)	PUNCT
m-386	216	17	,	,	PUNCT
m-386	216	18	,	,	PUNCT
m-386	216	19	(	(	PUNCT
m-386	216	20	)	)	PUNCT
m-386	216	21	,	,	PUNCT
m-386	216	22	,	,	PUNCT
m-386	216	23	,	,	PUNCT
m-386	216	24	,	,	PUNCT
m-386	216	25	0	0	NUM
m-386	216	26	,	,	PUNCT
m-386	216	27	1	1	NUM
m-386	216	28	it	it	PRON
m-386	216	29	ti	ti	VERB
m-386	217	1	h	h	NOUN
m-386	218	1	k	k	PROPN
m-386	218	2	h	h	PROPN
m-386	219	1	k	k	PROPN
m-386	219	2	j	j	PROPN
m-386	220	1	i	i	PRON
m-386	220	2	h	h	VERB
m-386	221	1	k	k	NOUN
m-386	221	2	m	m	VERB
m-386	221	3	n	n	VERB
m-386	221	4	m	m	VERB
m-386	221	5	n	n	PRON
m-386	221	6	m	m	PROPN
m-386	221	7	n	n	PRON
m-386	221	8	j	j	PROPN
m-386	221	9	m	m	PROPN
m-386	221	10	nj	nj	PROPN
m-386	221	11	p	p	NOUN
m-386	221	12	p	p	VERB
m-386	221	13			X
m-386	221	14			X
m-386	221	15			X
m-386	221	16			PROPN
m-386	221	17			PROPN
m-386	221	18			NOUN
m-386	221	19	where	where	SCONJ
m-386	221	20	0	0	NUM
m-386	221	21	;	;	PUNCT
m-386	221	22	1	1	NUM
m-386	221	23	,	,	PUNCT
m-386	221	24	2it	2it	NOUN
m-386	222	1	i	i	CCONJ
m-386	222	2			NOUN
m-386	222	3	are	be	AUX
m-386	222	4	constituent	constituent	ADJ
m-386	222	5	and	and	CCONJ
m-386	222	6			PROPN
m-386	222	7	(1	(1	PROPN
m-386	222	8	)	)	PUNCT
m-386	222	9	,	,	PUNCT
m-386	222	10	(	(	PUNCT
m-386	222	11	,	,	PUNCT
m-386	222	12	)	)	PUNCT
m-386	222	13	j	j	PROPN
m-386	222	14	m	m	VERB
m-386	222	15	np	np	INTJ
m-386	222	16	z	z	PROPN
m-386	222	17	w	w	NOUN
m-386	222	18	;	;	PUNCT
m-386	222	19	1j	1j	NUM
m-386	222	20			NUM
m-386	222	21	is	be	AUX
m-386	222	22	the	the	DET
m-386	222	23	j	j	PROPN
m-386	222	24	-	-	PUNCT
m-386	222	25	th	th	VERB
m-386	222	26	power	power	NOUN
m-386	222	27	of	of	ADP
m-386	222	28	transposed	transpose	VERB
m-386	222	29	set	set	VERB
m-386	222	30			PROPN
m-386	222	31	(1	(1	PROPN
m-386	222	32	)	)	PUNCT
m-386	222	33	,	,	PUNCT
m-386	222	34	(	(	PUNCT
m-386	222	35	,	,	PUNCT
m-386	222	36	)	)	PUNCT
m-386	222	37	m	m	VERB
m-386	222	38	np	np	INTJ
m-386	222	39	z	z	NOUN
m-386	222	40	w	w	PROPN
m-386	222	41	.	.	PUNCT
m-386	223	1	by	by	ADP
m-386	223	2	(	(	PUNCT
m-386	223	3	2.12	2.12	NUM
m-386	223	4	)	)	PUNCT
m-386	223	5	and	and	CCONJ
m-386	223	6	using	use	VERB
m-386	223	7	cauchy	cauchy	PROPN
m-386	223	8	's	's	PART
m-386	223	9	inequality	inequality	NOUN
m-386	223	10	,	,	PUNCT
m-386	223	11	the	the	DET
m-386	223	12	relation	relation	NOUN
m-386	223	13	(	(	PUNCT
m-386	223	14	2.13	2.13	NUM
m-386	223	15	)	)	PUNCT
m-386	223	16	is	be	AUX
m-386	223	17	(	(	PUNCT
m-386	223	18	2.14	2.14	NUM
m-386	223	19	)	)	PUNCT
m-386	223	20	,	,	PUNCT
m-386	223	21	(	(	PUNCT
m-386	223	22	)	)	PUNCT
m-386	223	23	,	,	PUNCT
m-386	223	24	6	6	NUM
m-386	223	25	,	,	PUNCT
m-386	223	26	1	1	NUM
m-386	223	27	1	1	NUM
m-386	223	28	1	1	NUM
m-386	223	29	,	,	PUNCT
m-386	223	30	5	5	NUM
m-386	223	31	(	(	PUNCT
m-386	223	32	1	1	NUM
m-386	223	33	)	)	PUNCT
m-386	223	34	m	m	VERB
m-386	223	35	n	n	NUM
m-386	224	1	h	h	NOUN
m-386	225	1	ki	ki	PROPN
m-386	225	2	h	h	PROPN
m-386	226	1	k	k	PROPN
m-386	226	2	m	m	VERB
m-386	227	1	n	n	VERB
m-386	227	2	h	h	NOUN
m-386	228	1	k	k	NOUN
m-386	228	2	m	m	VERB
m-386	228	3	n	n	ADV
m-386	228	4	r	r	NOUN
m-386	228	5	p	p	X
m-386	228	6	k	k	PROPN
m-386	228	7	t	t	PROPN
m-386	228	8	r	r	NOUN
m-386	228	9			PROPN
m-386	228	10			PROPN
m-386	228	11			PROPN
m-386	228	12			ADV
m-386	228	13			ADV
m-386	228	14			PUNCT
m-386	228	15	where	where	SCONJ
m-386	228	16	0	0	NUM
m-386	228	17	1	1	NUM
m-386	228	18	max	max	NOUN
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m-386	231	7	(	(	PUNCT
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m-386	310	18	)	)	PUNCT
m-386	310	19	(	(	PUNCT
m-386	310	20	,	,	PUNCT
m-386	310	21	)	)	PUNCT
m-386	310	22	,	,	PUNCT
m-386	310	23	6	6	NUM
m-386	310	24	,	,	PUNCT
m-386	310	25	(	(	PUNCT
m-386	310	26	1	1	NUM
m-386	310	27	)	)	PUNCT
m-386	310	28	,	,	PUNCT
m-386	310	29	(	(	PUNCT
m-386	310	30	2	2	X
m-386	310	31	)	)	PUNCT
m-386	310	32	1	1	NUM
m-386	310	33	2	2	NUM
m-386	310	34	,	,	PUNCT
m-386	310	35	,	,	PUNCT
m-386	310	36	(	(	PUNCT
m-386	310	37	,	,	PUNCT
m-386	310	38	)	)	PUNCT
m-386	310	39	0	0	NUM
m-386	311	1	(	(	PUNCT
m-386	311	2	,	,	PUNCT
m-386	311	3	)	)	PUNCT
m-386	311	4	0	0	NUM
m-386	312	1	(	(	PUNCT
m-386	312	2	,	,	PUNCT
m-386	312	3	)	)	PUNCT
m-386	312	4	0	0	NUM
m-386	312	5	5	5	NUM
m-386	312	6	,	,	PUNCT
m-386	312	7	7	7	NUM
m-386	312	8	,	,	PUNCT
m-386	312	9	(	(	PUNCT
m-386	312	10	,	,	PUNCT
m-386	312	11	)	)	PUNCT
m-386	312	12	(	(	PUNCT
m-386	312	13	,	,	PUNCT
m-386	312	14	)	)	PUNCT
m-386	312	15	(	(	PUNCT
m-386	312	16	,	,	PUNCT
m-386	312	17	)	)	PUNCT
m-386	312	18	,	,	PUNCT
m-386	312	19	6	6	NUM
m-386	312	20	,	,	PUNCT
m-386	312	21	(	(	PUNCT
m-386	312	22	1	1	NUM
m-386	312	23	)	)	PUNCT
m-386	312	24	,	,	PUNCT
m-386	312	25	1	1	NUM
m-386	312	26	2	2	NUM
m-386	312	27	,	,	PUNCT
m-386	312	28	(	(	PUNCT
m-386	312	29	,	,	PUNCT
m-386	312	30	)	)	PUNCT
m-386	312	31	0	0	NUM
m-386	313	1	(	(	PUNCT
m-386	313	2	,	,	PUNCT
m-386	313	3	)	)	PUNCT
m-386	313	4	0	0	NUM
m-386	314	1	(	(	PUNCT
m-386	314	2	,	,	PUNCT
m-386	314	3	)	)	PUNCT
m-386	314	4	0	0	NUM
m-386	314	5	4	4	NUM
m-386	314	6	,	,	PUNCT
m-386	314	7	,	,	PUNCT
m-386	314	8	7	7	NUM
m-386	314	9	,	,	PUNCT
m-386	314	10	1	1	NUM
m-386	314	11	|	|	ADV
m-386	314	12	|	|	ADV
m-386	314	13	[	[	PUNCT
m-386	314	14	,	,	PUNCT
m-386	314	15	]	]	PUNCT
m-386	314	16	1	1	NUM
m-386	315	1	|	|	ADV
m-386	315	2	|	|	ADV
m-386	315	3	s	s	VERB
m-386	315	4	tm	tm	NOUN
m-386	315	5	n	n	ADP
m-386	315	6	h	h	NOUN
m-386	316	1	k	k	NOUN
m-386	317	1	i	i	PRON
m-386	317	2	j	j	VERB
m-386	318	1	i	i	PRON
m-386	318	2	j	j	VERB
m-386	319	1	i	i	PRON
m-386	319	2	jh	jh	PROPN
m-386	320	1	k	k	PROPN
m-386	320	2	m	m	VERB
m-386	320	3	n	n	VERB
m-386	320	4	h	h	NOUN
m-386	321	1	k	k	PROPN
m-386	321	2	s	s	PROPN
m-386	321	3	t	t	NOUN
m-386	321	4	h	h	NOUN
m-386	322	1	k	k	PROPN
m-386	323	1	i	i	PRON
m-386	324	1	j	j	PROPN
m-386	324	2	s	s	PROPN
m-386	324	3	t	t	PROPN
m-386	324	4	s	s	PROPN
m-386	324	5	t	t	PROPN
m-386	324	6	s	s	PROPN
m-386	324	7	t	t	PROPN
m-386	324	8	s	s	PROPN
m-386	324	9	tm	tm	PROPN
m-386	324	10	n	n	ADP
m-386	324	11	h	h	NOUN
m-386	325	1	k	k	NOUN
m-386	326	1	i	i	PRON
m-386	326	2	j	j	VERB
m-386	327	1	i	i	PRON
m-386	327	2	j	j	VERB
m-386	328	1	i	i	PRON
m-386	328	2	jh	jh	PROPN
m-386	329	1	k	k	PROPN
m-386	329	2	m	m	VERB
m-386	329	3	n	n	VERB
m-386	329	4	h	h	NOUN
m-386	330	1	k	k	PROPN
m-386	330	2	s	s	PROPN
m-386	330	3	t	t	NOUN
m-386	330	4	h	h	NOUN
m-386	331	1	k	k	PROPN
m-386	332	1	i	i	PRON
m-386	333	1	j	j	PROPN
m-386	333	2	s	s	PROPN
m-386	334	1	t	t	PROPN
m-386	334	2	h	h	NOUN
m-386	335	1	k	k	PROPN
m-386	335	2	s	s	PROPN
m-386	335	3	t	t	PROPN
m-386	335	4	s	s	X
m-386	335	5	t	t	NOUN
m-386	335	6	r	r	NOUN
m-386	335	7	k	k	PROPN
m-386	336	1	k	k	PROPN
m-386	337	1	p	p	X
m-386	337	2	m	m	PRON
m-386	337	3	p	p	NOUN
m-386	337	4	r	r	NOUN
m-386	337	5	r	r	NOUN
m-386	337	6	r	r	NOUN
m-386	338	1	k	k	NOUN
m-386	338	2	k	k	PROPN
m-386	338	3	p	p	NOUN
m-386	338	4	r	r	NOUN
m-386	338	5	r	r	NOUN
m-386	338	6			X
m-386	338	7			X
m-386	338	8			X
m-386	338	9			X
m-386	338	10			X
m-386	338	11			X
m-386	338	12			X
m-386	338	13			X
m-386	338	14			X
m-386	338	15			NOUN
m-386	338	16			PUNCT
m-386	339	1			PROPN
m-386	339	2			PROPN
m-386	339	3			PROPN
m-386	339	4			ADV
m-386	339	5			PUNCT
m-386	339	6			PUNCT
m-386	340	1			PROPN
m-386	340	2			NUM
m-386	340	3			NOUN
m-386	340	4			X
m-386	340	5			X
m-386	340	6			X
m-386	340	7			X
m-386	340	8			X
m-386	340	9			X
m-386	340	10	(	(	PUNCT
m-386	340	11	,	,	PUNCT
m-386	340	12	)	)	PUNCT
m-386	340	13	(	(	PUNCT
m-386	340	14	,	,	PUNCT
m-386	340	15	)	)	PUNCT
m-386	340	16	(	(	PUNCT
m-386	340	17	,	,	PUNCT
m-386	340	18	)	)	PUNCT
m-386	340	19	,	,	PUNCT
m-386	340	20	6	6	NUM
m-386	340	21	,	,	PUNCT
m-386	340	22	(	(	PUNCT
m-386	340	23	1	1	NUM
m-386	340	24	)	)	PUNCT
m-386	340	25	(	(	PUNCT
m-386	340	26	1	1	NUM
m-386	340	27	)	)	PUNCT
m-386	340	28	,	,	PUNCT
m-386	340	29	1	1	NUM
m-386	340	30	2	2	NUM
m-386	340	31	,	,	PUNCT
m-386	340	32	,	,	PUNCT
m-386	340	33	(	(	PUNCT
m-386	340	34	,	,	PUNCT
m-386	340	35	)	)	PUNCT
m-386	340	36	0	0	NUM
m-386	341	1	(	(	PUNCT
m-386	341	2	,	,	PUNCT
m-386	341	3	)	)	PUNCT
m-386	341	4	0	0	NUM
m-386	342	1	(	(	PUNCT
m-386	342	2	,	,	PUNCT
m-386	342	3	)	)	PUNCT
m-386	342	4	04	04	NUM
m-386	342	5	4	4	NUM
m-386	342	6	,	,	PUNCT
m-386	342	7	,	,	PUNCT
m-386	342	8	7	7	NUM
m-386	342	9	,	,	PUNCT
m-386	342	10	(	(	PUNCT
m-386	342	11	1	1	NUM
m-386	342	12	)	)	PUNCT
m-386	342	13	1	1	NUM
m-386	342	14	2	2	NUM
m-386	342	15	,	,	PUNCT
m-386	342	16	4	4	NUM
m-386	342	17	1	1	NUM
m-386	342	18	1	1	NUM
m-386	342	19	[	[	PUNCT
m-386	342	20	,	,	PUNCT
m-386	342	21	]	]	PUNCT
m-386	343	1	|	|	ADV
m-386	343	2	|	|	ADV
m-386	343	3	1	1	NUM
m-386	343	4	[	[	PUNCT
m-386	343	5	,	,	PUNCT
m-386	343	6	]	]	X
m-386	343	7	s	s	VERB
m-386	343	8	tm	tm	NOUN
m-386	343	9	n	n	ADP
m-386	343	10	h	h	NOUN
m-386	344	1	k	k	NOUN
m-386	345	1	i	i	PRON
m-386	345	2	j	j	VERB
m-386	346	1	i	i	PRON
m-386	346	2	j	j	VERB
m-386	347	1	i	i	PRON
m-386	347	2	jh	jh	PROPN
m-386	348	1	k	k	INTJ
m-386	348	2	h	h	PROPN
m-386	349	1	k	k	NOUN
m-386	349	2	m	m	VERB
m-386	349	3	n	n	VERB
m-386	350	1	h	h	NOUN
m-386	351	1	k	k	PROPN
m-386	351	2	s	s	PROPN
m-386	351	3	t	t	NOUN
m-386	351	4	h	h	NOUN
m-386	352	1	k	k	PROPN
m-386	353	1	i	i	PRON
m-386	354	1	j	j	PROPN
m-386	354	2	s	s	PROPN
m-386	355	1	t	t	PROPN
m-386	355	2	h	h	NOUN
m-386	356	1	k	k	PROPN
m-386	356	2	s	s	PROPN
m-386	356	3	t	t	PROPN
m-386	356	4	s	s	PROPN
m-386	356	5	t	t	PROPN
m-386	356	6	m	m	NOUN
m-386	356	7	n	n	ADP
m-386	356	8	r	r	NOUN
m-386	356	9	k	k	PROPN
m-386	357	1	k	k	PROPN
m-386	357	2	m	m	VERB
m-386	357	3	p	p	X
m-386	357	4	p	p	X
m-386	357	5	r	r	NOUN
m-386	357	6	r	r	NOUN
m-386	357	7	r	r	NOUN
m-386	357	8	k	k	NOUN
m-386	358	1	k	k	NOUN
m-386	358	2	m	m	VERB
m-386	358	3	p	p	NOUN
m-386	358	4	r	r	NOUN
m-386	358	5			X
m-386	358	6			X
m-386	358	7			X
m-386	358	8			X
m-386	358	9			X
m-386	358	10			NOUN
m-386	358	11			PUNCT
m-386	358	12			PUNCT
m-386	359	1			PROPN
m-386	359	2			NUM
m-386	359	3			NOUN
m-386	359	4			X
m-386	359	5			X
m-386	359	6			X
m-386	359	7	from	from	ADP
m-386	359	8	which	which	PRON
m-386	359	9	,	,	PUNCT
m-386	359	10	we	we	PRON
m-386	359	11	obtain	obtain	VERB
m-386	359	12	11	11	NUM
m-386	359	13	(	(	PUNCT
m-386	359	14	1	1	NUM
m-386	359	15	)	)	PUNCT
m-386	359	16	(	(	PUNCT
m-386	359	17	1	1	NUM
m-386	359	18	)	)	PUNCT
m-386	359	19	,	,	PUNCT
m-386	359	20	1	1	NUM
m-386	359	21	2	2	NUM
m-386	359	22	,	,	PUNCT
m-386	359	23	7	7	NUM
m-386	359	24	7	7	NUM
m-386	359	25	4	4	NUM
m-386	359	26	4	4	NUM
m-386	359	27	1	1	NUM
m-386	359	28	1	1	NUM
m-386	359	29	1	1	NUM
m-386	359	30	1	1	NUM
m-386	359	31	sup	sup	NOUN
m-386	359	32	[	[	PUNCT
m-386	359	33	;	;	PUNCT
m-386	359	34	]	]	PUNCT
m-386	359	35	sup	sup	INTJ
m-386	359	36	,	,	PUNCT
m-386	359	37	m	m	VERB
m-386	359	38	nm	nm	INTJ
m-386	359	39	n	n	ADV
m-386	359	40	m	m	VERB
m-386	359	41	n	n	NOUN
m-386	359	42	m	m	VERB
m-386	359	43	n	n	ADV
m-386	359	44	m	m	PROPN
m-386	359	45	n	n	PRON
m-386	359	46	m	m	VERB
m-386	359	47	n	n	ADV
m-386	359	48	lim	lim	NOUN
m-386	359	49	m	m	VERB
m-386	359	50	u	u	PROPN
m-386	360	1	lim	lim	PROPN
m-386	360	2	k	k	PROPN
m-386	361	1	k	k	PROPN
m-386	361	2	m	m	VERB
m-386	361	3	p	p	NOUN
m-386	361	4	r	r	NOUN
m-386	361	5	r	r	NOUN
m-386	361	6	r	r	NOUN
m-386	361	7	r	r	NOUN
m-386	361	8			NOUN
m-386	361	9			NOUN
m-386	361	10			PROPN
m-386	361	11			ADV
m-386	361	12			NOUN
m-386	361	13			ADV
m-386	361	14			NOUN
m-386	361	15			ADV
m-386	361	16			VERB
m-386	361	17			NOUN
m-386	361	18			ADV
m-386	362	1			NUM
m-386	362	2			INTJ
m-386	362	3			ADJ
m-386	363	1			PROPN
m-386	363	2			NOUN
m-386	363	3			NUM
m-386	363	4			NUM
m-386	363	5			NUM
m-386	363	6			PROPN
m-386	363	7			PROPN
m-386	363	8			PROPN
m-386	363	9			VERB
m-386	363	10			NOUN
m-386	363	11			NOUN
m-386	363	12			NOUN
m-386	363	13			NOUN
m-386	363	14			NOUN
m-386	363	15			NUM
m-386	363	16			PROPN
m-386	363	17			PROPN
m-386	363	18			VERB
m-386	363	19			PROPN
m-386	363	20			PROPN
m-386	363	21			PROPN
m-386	363	22			PROPN
m-386	364	1			VERB
m-386	364	2			PROPN
m-386	364	3	where	where	SCONJ
m-386	364	4	2	2	NUM
m-386	364	5	1	1	NUM
m-386	364	6	1	1	NUM
m-386	364	7	(	(	PUNCT
m-386	364	8	1)k	1)k	NUM
m-386	364	9	t	t	NOUN
m-386	364	10			X
m-386	364	11	.	.	PUNCT
m-386	365	1	if	if	SCONJ
m-386	365	2	4	4	NUM
m-386	365	3	7r	7r	NUM
m-386	365	4	and	and	CCONJ
m-386	365	5	r	r	NOUN
m-386	365	6	are	be	AUX
m-386	365	7	chosen	choose	VERB
m-386	365	8	near	near	ADP
m-386	365	9	to	to	ADP
m-386	365	10	r	r	NOUN
m-386	365	11	then	then	ADV
m-386	365	12	we	we	PRON
m-386	365	13	get	get	VERB
m-386	365	14			ADJ
m-386	365	15			ADP
m-386	365	16			ADJ
m-386	365	17	(1)0	(1)0	NOUN
m-386	365	18	0	0	NUM
m-386	365	19	0	0	NUM
m-386	365	20			PROPN
m-386	365	21			NOUN
m-386	365	22			ADV
m-386	365	23			PROPN
m-386	365	24	.	.	PUNCT
m-386	366	1	therefore	therefore	ADV
m-386	366	2	we	we	PRON
m-386	366	3	obtain	obtain	VERB
m-386	366	4			ADJ
m-386	366	5	0	0	NOUN
m-386	366	6	0	0	NUM
m-386	366	7			PROPN
m-386	366	8			PROPN
m-386	366	9	,	,	PUNCT
m-386	366	10	now	now	ADV
m-386	366	11	,	,	PUNCT
m-386	366	12	we	we	PRON
m-386	366	13	can	can	AUX
m-386	366	14	use	use	VERB
m-386	366	15	the	the	DET
m-386	366	16	lemmas	lemma	NOUN
m-386	366	17	above	above	ADV
m-386	366	18	to	to	PART
m-386	366	19	prove	prove	VERB
m-386	366	20	the	the	DET
m-386	366	21	following	follow	VERB
m-386	366	22	theorem	theorem	NOUN
m-386	366	23	concerning	concern	VERB
m-386	366	24	the	the	DET
m-386	366	25	effectiveness	effectiveness	NOUN
m-386	366	26	of	of	ADP
m-386	366	27	similar	similar	ADJ
m-386	366	28	transposed	transpose	VERB
m-386	366	29	set	set	NOUN
m-386	366	30			PROPN
m-386	366	31			PROPN
m-386	366	32	,	,	PUNCT
m-386	366	33	(	(	PUNCT
m-386	366	34	,	,	PUNCT
m-386	366	35	)	)	PUNCT
m-386	366	36	m	m	VERB
m-386	366	37	nu	nu	INTJ
m-386	366	38	z	z	PROPN
m-386	366	39	w	w	PROPN
m-386	366	40	of	of	ADP
m-386	366	41	two	two	NUM
m-386	366	42	complex	complex	ADJ
m-386	366	43	variables	variable	NOUN
m-386	366	44	at	at	ADP
m-386	366	45	the	the	DET
m-386	366	46	origin	origin	NOUN
m-386	366	47	:	:	PUNCT
m-386	366	48	theorem	theorem	NOUN
m-386	366	49	(	(	PUNCT
m-386	366	50	2.1	2.1	NUM
m-386	366	51	):	):	PUNCT
m-386	366	52	let	let	VERB
m-386	366	53			PRON
m-386	366	54			PROPN
m-386	366	55	(	(	PUNCT
m-386	366	56	)	)	PUNCT
m-386	366	57	,	,	PUNCT
m-386	366	58	(	(	PUNCT
m-386	366	59	,	,	PUNCT
m-386	366	60	)	)	PUNCT
m-386	366	61	;	;	PUNCT
m-386	366	62	1,2i	1,2i	NUM
m-386	366	63	m	m	VERB
m-386	366	64	np	np	ADP
m-386	366	65	z	z	PROPN
m-386	366	66	w	w	PROPN
m-386	367	1	i	i	PRON
m-386	367	2			VERB
m-386	367	3	be	be	VERB
m-386	367	4	two	two	NUM
m-386	367	5	algebraic	algebraic	ADJ
m-386	367	6	sets	set	NOUN
m-386	367	7	satisfy	satisfy	NOUN
m-386	367	8	condition	condition	NOUN
m-386	367	9	(	(	PUNCT
m-386	367	10	2.5	2.5	NUM
m-386	367	11	)	)	PUNCT
m-386	367	12	,	,	PUNCT
m-386	367	13	and	and	CCONJ
m-386	367	14	then	then	ADV
m-386	367	15	the	the	DET
m-386	367	16	similar	similar	ADJ
m-386	367	17	transposed	transpose	VERB
m-386	367	18	set	set	NOUN
m-386	367	19			PROPN
m-386	367	20			PROPN
m-386	367	21	,	,	PUNCT
m-386	367	22	(	(	PUNCT
m-386	367	23	,	,	PUNCT
m-386	367	24	)	)	PUNCT
m-386	367	25	m	m	VERB
m-386	367	26	nu	nu	PROPN
m-386	367	27	z	z	PROPN
m-386	367	28	w	w	PROPN
m-386	367	29	will	will	AUX
m-386	367	30	be	be	AUX
m-386	367	31	effective	effective	ADJ
m-386	367	32	at	at	ADP
m-386	367	33	the	the	DET
m-386	367	34	origin	origin	NOUN
m-386	367	35	.	.	PUNCT
m-386	368	1	proof	proof	NOUN
m-386	368	2	:	:	PUNCT
m-386	368	3	since	since	SCONJ
m-386	368	4	each	each	PRON
m-386	368	5	of	of	ADP
m-386	368	6	two	two	NUM
m-386	368	7	sets	set	NOUN
m-386	368	8			PRON
m-386	368	9			PROPN
m-386	368	10	(	(	PUNCT
m-386	368	11	)	)	PUNCT
m-386	368	12	,	,	PUNCT
m-386	368	13	(	(	PUNCT
m-386	368	14	,	,	PUNCT
m-386	368	15	)	)	PUNCT
m-386	368	16	;	;	PUNCT
m-386	368	17	1,2i	1,2i	NUM
m-386	368	18	m	m	VERB
m-386	368	19	np	np	ADP
m-386	368	20	z	z	PROPN
m-386	368	21	w	w	PROPN
m-386	369	1	i	i	PRON
m-386	369	2			VERB
m-386	369	3	is	be	AUX
m-386	369	4	algebraic	algebraic	ADJ
m-386	369	5	condition	condition	NOUN
m-386	369	6	(	(	PUNCT
m-386	369	7	2.5	2.5	NUM
m-386	369	8	)	)	PUNCT
m-386	369	9	satisfied	satisfied	ADJ
m-386	369	10	(	(	PUNCT
m-386	369	11	2.17	2.17	NUM
m-386	369	12	)	)	PUNCT
m-386	369	13	,	,	PUNCT
m-386	369	14	(	(	PUNCT
m-386	369	15	1	1	NUM
m-386	369	16	)	)	PUNCT
m-386	369	17	,	,	PUNCT
m-386	369	18	4	4	NUM
m-386	369	19	,	,	PUNCT
m-386	369	20	1	1	NUM
m-386	369	21	1	1	NUM
m-386	369	22	1	1	NUM
m-386	369	23	,	,	PUNCT
m-386	369	24	3	3	NUM
m-386	369	25	(	(	PUNCT
m-386	369	26	1	1	NUM
m-386	369	27	)	)	PUNCT
m-386	369	28	m	m	VERB
m-386	369	29	n	n	NUM
m-386	370	1	h	h	NOUN
m-386	371	1	kh	kh	PROPN
m-386	372	1	k	k	PROPN
m-386	373	1	m	m	VERB
m-386	373	2	n	n	NUM
m-386	373	3	h	h	NOUN
m-386	374	1	k	k	NOUN
m-386	374	2	m	m	VERB
m-386	374	3	n	n	ADV
m-386	374	4	r	r	NOUN
m-386	374	5	p	p	X
m-386	374	6	k	k	PROPN
m-386	374	7	t	t	PROPN
m-386	374	8	r	r	NOUN
m-386	374	9			PROPN
m-386	374	10			PROPN
m-386	374	11			PROPN
m-386	374	12			ADV
m-386	374	13			VERB
m-386	374	14			PROPN
m-386	374	15	ijo	ijo	PROPN
m-386	374	16	international	international	PROPN
m-386	374	17	journal	journal	PROPN
m-386	374	18	of	of	ADP
m-386	374	19	mathematics	mathematics	PROPN
m-386	374	20	volume	volume	PROPN
m-386	374	21	3|	3|	NUM
m-386	374	22	issue	issue	NOUN
m-386	374	23	12|	12|	NUM
m-386	374	24	december	december	PROPN
m-386	374	25	|	|	NOUN
m-386	374	26	2020	2020	NUM
m-386	374	27	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	374	28	6	6	NUM
m-386	374	29	(	(	PUNCT
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m-386	374	31	)	)	PUNCT
m-386	374	32	,	,	PUNCT
m-386	374	33	(	(	PUNCT
m-386	374	34	2	2	NUM
m-386	374	35	)	)	PUNCT
m-386	374	36	,	,	PUNCT
m-386	374	37	2	2	NUM
m-386	374	38	,	,	PUNCT
m-386	374	39	1	1	NUM
m-386	374	40	2	2	NUM
m-386	374	41	2	2	NUM
m-386	374	42	,	,	PUNCT
m-386	374	43	1	1	NUM
m-386	374	44	(	(	PUNCT
m-386	374	45	1	1	NUM
m-386	374	46	)	)	PUNCT
m-386	374	47	m	m	VERB
m-386	374	48	n	n	NUM
m-386	374	49	h	h	NOUN
m-386	375	1	kh	kh	PROPN
m-386	376	1	k	k	PROPN
m-386	377	1	m	m	VERB
m-386	377	2	n	n	NUM
m-386	377	3	h	h	NOUN
m-386	378	1	k	k	NOUN
m-386	378	2	m	m	VERB
m-386	378	3	n	n	ADV
m-386	378	4	r	r	NOUN
m-386	378	5	p	p	X
m-386	378	6	k	k	PROPN
m-386	378	7	t	t	PROPN
m-386	378	8	r	r	NOUN
m-386	378	9			PROPN
m-386	378	10			PROPN
m-386	378	11			PROPN
m-386	378	12			ADV
m-386	378	13			ADV
m-386	378	14			X
m-386	378	15	.	.	PUNCT
m-386	379	1	also	also	ADV
m-386	379	2	,	,	PUNCT
m-386	379	3	the	the	DET
m-386	379	4	sets	set	NOUN
m-386	379	5			PROPN
m-386	379	6			PROPN
m-386	379	7	(	(	PUNCT
m-386	379	8	)	)	PUNCT
m-386	379	9	,	,	PUNCT
m-386	379	10	(	(	PUNCT
m-386	379	11	,	,	PUNCT
m-386	379	12	)	)	PUNCT
m-386	379	13	;	;	PUNCT
m-386	379	14	1,2i	1,2i	NUM
m-386	379	15	m	m	VERB
m-386	379	16	np	np	ADP
m-386	379	17	z	z	PROPN
m-386	379	18	w	w	PROPN
m-386	380	1	i	i	PRON
m-386	380	2			VERB
m-386	380	3	satisfy	satisfy	VERB
m-386	380	4	the	the	DET
m-386	380	5	condition	condition	NOUN
m-386	380	6	(	(	PUNCT
m-386	380	7	2.11	2.11	NUM
m-386	380	8	)	)	PUNCT
m-386	380	9	,	,	PUNCT
m-386	380	10	then	then	ADV
m-386	380	11	we	we	PRON
m-386	380	12	get	get	VERB
m-386	380	13			ADJ
m-386	380	14	0	0	NOUN
m-386	380	15	0	0	NUM
m-386	380	16			PROPN
m-386	380	17			PROPN
m-386	380	18	.	.	PUNCT
m-386	381	1	therefore	therefore	ADV
m-386	381	2	(	(	PUNCT
m-386	381	3	2.19	2.19	NUM
m-386	381	4	)	)	PUNCT
m-386	381	5	,	,	PUNCT
m-386	381	6	,	,	PUNCT
m-386	381	7	1	1	NUM
m-386	381	8	6	6	NUM
m-386	381	9	5	5	NUM
m-386	381	10	1	1	NUM
m-386	381	11	1	1	NUM
m-386	381	12	[	[	PUNCT
m-386	381	13	;	;	PUNCT
m-386	381	14	]	]	X
m-386	381	15	m	m	VERB
m-386	381	16	n	n	VERB
m-386	381	17	m	m	VERB
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m-386	381	20	n	n	NOUN
m-386	381	21	m	m	NOUN
m-386	381	22	u	u	NOUN
m-386	381	23	k	k	NOUN
m-386	381	24	r	r	NOUN
m-386	381	25	r	r	NOUN
m-386	381	26			PROPN
m-386	381	27			ADV
m-386	381	28	.	.	PUNCT
m-386	382	1	inserting	insert	VERB
m-386	382	2	(	(	PUNCT
m-386	382	3	2.16	2.16	NUM
m-386	382	4	)	)	PUNCT
m-386	382	5	,	,	PUNCT
m-386	382	6	(	(	PUNCT
m-386	382	7	2.17	2.17	NUM
m-386	382	8	)	)	PUNCT
m-386	382	9	.	.	PUNCT
m-386	383	1	(	(	PUNCT
m-386	383	2	2.18	2.18	NUM
m-386	383	3	)	)	PUNCT
m-386	383	4	and	and	CCONJ
m-386	383	5	using	use	VERB
m-386	383	6	cauchy	cauchy	PROPN
m-386	383	7	's	's	PART
m-386	383	8	inequality	inequality	NOUN
m-386	383	9	in	in	ADP
m-386	383	10	cannon	cannon	NOUN
m-386	383	11	sum	sum	NOUN
m-386	383	12	of	of	ADP
m-386	383	13	similar	similar	ADJ
m-386	383	14	transposed	transpose	VERB
m-386	383	15	set	set	NOUN
m-386	383	16			PROPN
m-386	383	17			PROPN
m-386	383	18	,	,	PUNCT
m-386	383	19	(	(	PUNCT
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m-386	383	21	)	)	PUNCT
m-386	383	22	m	m	VERB
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m-386	383	24	z	z	PROPN
m-386	383	25	w	w	NOUN
m-386	384	1	we	we	PRON
m-386	384	2	get	get	VERB
m-386	384	3	:	:	PUNCT
m-386	384	4	(	(	PUNCT
m-386	384	5	,	,	PUNCT
m-386	384	6	)	)	PUNCT
m-386	384	7	,	,	PUNCT
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m-386	384	12	(	(	PUNCT
m-386	384	13	,	,	PUNCT
m-386	384	14	)	)	PUNCT
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m-386	384	17	(	(	PUNCT
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m-386	384	19	)	)	PUNCT
m-386	384	20	(	(	PUNCT
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m-386	384	22	)	)	PUNCT
m-386	384	23	(	(	PUNCT
m-386	384	24	,	,	PUNCT
m-386	384	25	)	)	PUNCT
m-386	384	26	(	(	PUNCT
m-386	384	27	1	1	NUM
m-386	384	28	)	)	PUNCT
m-386	384	29	,	,	PUNCT
m-386	384	30	(	(	PUNCT
m-386	384	31	2	2	NUM
m-386	384	32	)	)	PUNCT
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m-386	384	34	(	(	PUNCT
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m-386	384	36	)	)	PUNCT
m-386	384	37	,	,	PUNCT
m-386	384	38	,	,	PUNCT
m-386	384	39	,	,	PUNCT
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m-386	384	41	,	,	PUNCT
m-386	384	42	(	(	PUNCT
m-386	384	43	,	,	PUNCT
m-386	384	44	)	)	PUNCT
m-386	384	45	0	0	NUM
m-386	385	1	(	(	PUNCT
m-386	385	2	,	,	PUNCT
m-386	385	3	)	)	PUNCT
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m-386	386	3	)	)	PUNCT
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m-386	386	7	1	1	NUM
m-386	386	8	1	1	NUM
m-386	386	9	[	[	PUNCT
m-386	386	10	]	]	X
m-386	386	11	[	[	PUNCT
m-386	386	12	;	;	PUNCT
m-386	386	13	]	]	PUNCT
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m-386	386	15	|	|	ADV
m-386	386	16	||	||	INTJ
m-386	387	1	||	||	PUNCT
m-386	388	1	|	|	ADV
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m-386	402	1	p	p	NOUN
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m-386	402	4	r	r	NOUN
m-386	402	5			X
m-386	402	6			X
m-386	402	7			X
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m-386	405	4			X
m-386	405	5			X
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m-386	405	8	(	(	PUNCT
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m-386	405	13	)	)	PUNCT
m-386	405	14	(	(	PUNCT
m-386	405	15	,	,	PUNCT
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m-386	405	21	(	(	PUNCT
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m-386	405	25	(	(	PUNCT
m-386	405	26	1	1	X
m-386	405	27	)	)	PUNCT
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m-386	405	29	1	1	NUM
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m-386	419	1	t	t	NOUN
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m-386	422	1	s	s	PROPN
m-386	422	2	t	t	PROPN
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m-386	423	1	k	k	PROPN
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m-386	425	1	p	p	X
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m-386	425	4			PROPN
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m-386	426	1			NUM
m-386	426	2			NUM
m-386	426	3			X
m-386	426	4			X
m-386	426	5			X
m-386	426	6	(	(	PUNCT
m-386	426	7	,	,	PUNCT
m-386	426	8	)	)	PUNCT
m-386	426	9	(	(	PUNCT
m-386	426	10	,	,	PUNCT
m-386	426	11	)	)	PUNCT
m-386	426	12	(	(	PUNCT
m-386	426	13	,	,	PUNCT
m-386	426	14	)	)	PUNCT
m-386	426	15	,	,	PUNCT
m-386	426	16	(	(	PUNCT
m-386	426	17	1	1	NUM
m-386	426	18	)	)	PUNCT
m-386	426	19	,	,	PUNCT
m-386	426	20	(	(	PUNCT
m-386	426	21	2	2	X
m-386	426	22	)	)	PUNCT
m-386	426	23	,	,	PUNCT
m-386	426	24	4	4	NUM
m-386	426	25	1	1	NUM
m-386	426	26	2	2	NUM
m-386	426	27	,	,	PUNCT
m-386	426	28	,	,	PUNCT
m-386	426	29	,	,	PUNCT
m-386	426	30	(	(	PUNCT
m-386	426	31	,	,	PUNCT
m-386	426	32	)	)	PUNCT
m-386	426	33	0	0	NUM
m-386	427	1	(	(	PUNCT
m-386	427	2	,	,	PUNCT
m-386	427	3	)	)	PUNCT
m-386	427	4	0	0	NUM
m-386	428	1	(	(	PUNCT
m-386	428	2	,	,	PUNCT
m-386	428	3	)	)	PUNCT
m-386	428	4	0	0	NUM
m-386	428	5	,	,	PUNCT
m-386	428	6	3	3	NUM
m-386	428	7	5	5	NUM
m-386	428	8	,	,	PUNCT
m-386	428	9	1	1	NUM
m-386	429	1	|	|	ADV
m-386	429	2	||	||	NOUN
m-386	430	1	|	|	ADV
m-386	430	2	s	s	VERB
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m-386	430	4	n	n	ADP
m-386	430	5	h	h	NOUN
m-386	431	1	k	k	NOUN
m-386	432	1	i	i	PRON
m-386	432	2	j	j	VERB
m-386	433	1	i	i	PRON
m-386	433	2	jh	jh	PROPN
m-386	434	1	k	k	INTJ
m-386	434	2	h	h	PROPN
m-386	435	1	k	k	NOUN
m-386	435	2	m	m	VERB
m-386	435	3	n	n	VERB
m-386	435	4	m	m	VERB
m-386	435	5	n	n	ADJ
m-386	436	1	i	i	PRON
m-386	436	2	j	j	PROPN
m-386	437	1	i	i	PRON
m-386	437	2	j	j	PROPN
m-386	437	3	s	s	PROPN
m-386	438	1	t	t	PROPN
m-386	438	2	h	h	NOUN
m-386	439	1	k	k	PROPN
m-386	440	1	i	i	PRON
m-386	441	1	j	j	PROPN
m-386	441	2	s	s	PROPN
m-386	441	3	t	t	PROPN
m-386	441	4	s	s	PROPN
m-386	441	5	t	t	PROPN
m-386	441	6	s	s	PROPN
m-386	441	7	t	t	NOUN
m-386	441	8	r	r	NOUN
m-386	442	1	k	k	PROPN
m-386	443	1	k	k	PROPN
m-386	444	1	p	p	X
m-386	444	2	p	p	X
m-386	444	3	r	r	NOUN
m-386	444	4	r	r	NOUN
m-386	444	5			X
m-386	444	6			X
m-386	444	7			X
m-386	444	8			X
m-386	444	9			NOUN
m-386	444	10			PUNCT
m-386	444	11			PUNCT
m-386	445	1			PROPN
m-386	445	2			NUM
m-386	445	3			NOUN
m-386	445	4			X
m-386	445	5			X
m-386	445	6			X
m-386	445	7	(	(	PUNCT
m-386	445	8	,	,	PUNCT
m-386	445	9	)	)	PUNCT
m-386	445	10	(	(	PUNCT
m-386	445	11	,	,	PUNCT
m-386	445	12	)	)	PUNCT
m-386	445	13	(	(	PUNCT
m-386	445	14	,	,	PUNCT
m-386	445	15	)	)	PUNCT
m-386	445	16	,	,	PUNCT
m-386	445	17	,	,	PUNCT
m-386	445	18	,	,	PUNCT
m-386	445	19	(	(	PUNCT
m-386	445	20	1	1	NUM
m-386	445	21	)	)	PUNCT
m-386	445	22	,	,	PUNCT
m-386	445	23	2	2	NUM
m-386	445	24	4	4	NUM
m-386	445	25	1	1	NUM
m-386	445	26	2	2	NUM
m-386	445	27	,	,	PUNCT
m-386	445	28	,	,	PUNCT
m-386	445	29	(	(	PUNCT
m-386	445	30	,	,	PUNCT
m-386	445	31	)	)	PUNCT
m-386	445	32	0	0	NUM
m-386	446	1	(	(	PUNCT
m-386	446	2	,	,	PUNCT
m-386	446	3	)	)	PUNCT
m-386	446	4	0	0	NUM
m-386	447	1	(	(	PUNCT
m-386	447	2	,	,	PUNCT
m-386	447	3	)	)	PUNCT
m-386	447	4	0	0	NUM
m-386	447	5	,	,	PUNCT
m-386	447	6	1	1	NUM
m-386	447	7	,	,	PUNCT
m-386	447	8	,	,	PUNCT
m-386	447	9	3	3	NUM
m-386	447	10	5	5	NUM
m-386	447	11	,	,	PUNCT
m-386	447	12	1	1	NUM
m-386	447	13	2	2	NUM
m-386	447	14	3	3	NUM
m-386	447	15	,	,	PUNCT
m-386	447	16	,	,	PUNCT
m-386	447	17	1	1	NUM
m-386	447	18	|	|	ADV
m-386	447	19	|	|	ADV
m-386	447	20	1	1	NUM
m-386	447	21	[	[	PUNCT
m-386	447	22	;	;	PUNCT
m-386	447	23	]	]	PUNCT
m-386	448	1	i	i	PRON
m-386	448	2	j	j	PROPN
m-386	448	3	s	s	VERB
m-386	448	4	tm	tm	PROPN
m-386	449	1	n	n	ADP
m-386	449	2	h	h	NOUN
m-386	450	1	k	k	NOUN
m-386	451	1	i	i	PRON
m-386	451	2	j	j	VERB
m-386	452	1	i	i	PRON
m-386	452	2	jh	jh	PROPN
m-386	453	1	k	k	INTJ
m-386	453	2	h	h	PROPN
m-386	454	1	kh	kh	PROPN
m-386	454	2	k	k	PROPN
m-386	454	3	m	m	VERB
m-386	454	4	n	n	VERB
m-386	454	5	m	m	VERB
m-386	454	6	n	n	ADJ
m-386	455	1	h	h	NOUN
m-386	456	1	k	k	NOUN
m-386	457	1	i	i	PRON
m-386	457	2	j	j	PROPN
m-386	457	3	s	s	PROPN
m-386	458	1	t	t	PROPN
m-386	458	2	h	h	NOUN
m-386	459	1	k	k	PROPN
m-386	460	1	i	i	PRON
m-386	461	1	j	j	PROPN
m-386	461	2	s	s	PROPN
m-386	462	1	t	t	PROPN
m-386	462	2	h	h	NOUN
m-386	463	1	k	k	PROPN
m-386	464	1	i	i	PRON
m-386	465	1	j	j	PROPN
m-386	465	2	s	s	PROPN
m-386	465	3	t	t	PROPN
m-386	465	4	s	s	PROPN
m-386	465	5	t	t	PROPN
m-386	465	6	m	m	PROPN
m-386	465	7	n	n	PRON
m-386	465	8	m	m	NOUN
m-386	465	9	n	n	ADV
m-386	465	10	r	r	NOUN
m-386	465	11	r	r	NOUN
m-386	466	1	k	k	PROPN
m-386	467	1	k	k	PROPN
m-386	468	1	p	p	NOUN
m-386	469	1	r	r	NOUN
m-386	469	2	r	r	NOUN
m-386	469	3	r	r	NOUN
m-386	469	4	k	k	PROPN
m-386	469	5	k	k	PROPN
m-386	469	6	k	k	PROPN
m-386	470	1	m	m	VERB
m-386	470	2	p	p	NOUN
m-386	470	3	r	r	NOUN
m-386	470	4			NOUN
m-386	470	5			X
m-386	470	6			X
m-386	470	7			X
m-386	470	8			X
m-386	470	9			X
m-386	470	10			X
m-386	470	11			X
m-386	470	12			X
m-386	470	13			ADV
m-386	470	14			PROPN
m-386	470	15			PUNCT
m-386	470	16			PUNCT
m-386	470	17			PROPN
m-386	471	1			NUM
m-386	471	2			NOUN
m-386	471	3			X
m-386	471	4			X
m-386	471	5			X
m-386	471	6	where	where	SCONJ
m-386	471	7	2	2	NUM
m-386	471	8	1	1	NUM
m-386	471	9	1	1	NUM
m-386	471	10	(	(	PUNCT
m-386	471	11	1)k	1)k	NUM
m-386	471	12	t	t	NOUN
m-386	471	13			PUNCT
m-386	471	14	;	;	PUNCT
m-386	471	15	3	3	NUM
m-386	471	16	2	2	NUM
m-386	471	17	2	2	NUM
m-386	471	18	(	(	PUNCT
m-386	471	19	1)k	1)k	NUM
m-386	471	20	t	t	NOUN
m-386	471	21			PROPN
m-386	471	22	.	.	PUNCT
m-386	472	1	therefore	therefore	ADV
m-386	472	2	the	the	DET
m-386	472	3	cannon	cannon	NOUN
m-386	472	4	works	work	VERB
m-386	472	5	as	as	SCONJ
m-386	472	6	follows	follow	VERB
m-386	472	7	(	(	PUNCT
m-386	472	8	1	1	NUM
m-386	472	9	)	)	PUNCT
m-386	472	10	6	6	NUM
m-386	472	11	1	1	NUM
m-386	472	12	1	1	NUM
m-386	472	13	1	1	NUM
m-386	472	14	[	[	PUNCT
m-386	472	15	]	]	X
m-386	472	16	[	[	PUNCT
m-386	472	17	]	]	X
m-386	472	18	r	r	NOUN
m-386	472	19	r	r	NOUN
m-386	472	20			PROPN
m-386	472	21			NOUN
m-386	472	22	chosen	choose	VERB
m-386	472	23	1	1	NUM
m-386	472	24	6r	6r	NUM
m-386	472	25	and	and	CCONJ
m-386	472	26	r	r	NOUN
m-386	472	27	near	near	ADV
m-386	472	28	to	to	ADP
m-386	472	29	0	0	NOUN
m-386	472	30	we	we	PRON
m-386	472	31	get	get	VERB
m-386	472	32	[	[	X
m-386	472	33	0	0	X
m-386	472	34	]	]	PUNCT
m-386	472	35	0	0	PROPN
m-386	472	36			ADV
m-386	472	37			PROPN
m-386	472	38	.	.	PUNCT
m-386	473	1	that	that	PRON
m-386	473	2	is	be	AUX
m-386	473	3	to	to	PART
m-386	473	4	say	say	VERB
m-386	473	5	,	,	PUNCT
m-386	473	6	the	the	DET
m-386	473	7	similar	similar	ADJ
m-386	473	8	transposed	transpose	VERB
m-386	473	9	set	set	NOUN
m-386	473	10			PROPN
m-386	473	11			PROPN
m-386	473	12	,	,	PUNCT
m-386	473	13	(	(	PUNCT
m-386	473	14	,	,	PUNCT
m-386	473	15	)	)	PUNCT
m-386	473	16	m	m	VERB
m-386	473	17	nu	nu	PROPN
m-386	473	18	z	z	PROPN
m-386	473	19	w	w	PROPN
m-386	473	20	was	be	AUX
m-386	473	21	effective	effective	ADJ
m-386	473	22	at	at	ADP
m-386	473	23	origin	origin	NOUN
m-386	473	24	.	.	PUNCT
m-386	474	1	now	now	ADV
m-386	474	2	we	we	PRON
m-386	474	3	are	be	AUX
m-386	474	4	going	go	VERB
m-386	474	5	to	to	PART
m-386	474	6	take	take	VERB
m-386	474	7	into	into	ADP
m-386	474	8	account	account	NOUN
m-386	474	9	non	non	ADJ
m-386	474	10	-	-	ADJ
m-386	474	11	algebraic	algebraic	ADJ
m-386	474	12	sets	set	NOUN
m-386	474	13	of	of	ADP
m-386	474	14	polynomials	polynomial	NOUN
m-386	474	15	of	of	ADP
m-386	474	16	two	two	NUM
m-386	474	17	complex	complex	ADJ
m-386	474	18	variables	variable	NOUN
m-386	474	19	,	,	PUNCT
m-386	474	20	for	for	ADP
m-386	474	21	this	this	DET
m-386	474	22	suggestion	suggestion	NOUN
m-386	474	23	we	we	PRON
m-386	474	24	will	will	AUX
m-386	474	25	take	take	VERB
m-386	474	26	the	the	DET
m-386	474	27	following	follow	VERB
m-386	474	28	two	two	NUM
m-386	474	29	lemmas	lemma	NOUN
m-386	474	30	:	:	PUNCT
m-386	474	31	lemma	lemma	PROPN
m-386	474	32	(	(	PUNCT
m-386	474	33	2.3	2.3	NUM
m-386	474	34	):	):	PUNCT
m-386	474	35	if	if	SCONJ
m-386	474	36	the	the	DET
m-386	474	37	transposed	transpose	VERB
m-386	474	38	sets	set	NOUN
m-386	474	39			PROPN
m-386	474	40			PROPN
m-386	474	41	(	(	PUNCT
m-386	474	42	)	)	PUNCT
m-386	474	43	,	,	PUNCT
m-386	474	44	(	(	PUNCT
m-386	474	45	,	,	PUNCT
m-386	474	46	)	)	PUNCT
m-386	474	47	;	;	PUNCT
m-386	474	48	1,2i	1,2i	NUM
m-386	474	49	m	m	VERB
m-386	474	50	np	np	ADP
m-386	475	1	z	z	PROPN
m-386	476	1	w	w	PROPN
m-386	477	1	i	i	PRON
m-386	477	2			VERB
m-386	477	3	satisfy	satisfy	VERB
m-386	477	4	condition	condition	NOUN
m-386	477	5	(	(	PUNCT
m-386	477	6	2.5	2.5	NUM
m-386	477	7	)	)	PUNCT
m-386	477	8	and	and	CCONJ
m-386	477	9	the	the	DET
m-386	477	10	set	set	VERB
m-386	477	11			PROPN
m-386	477	12	(1	(1	PROPN
m-386	477	13	)	)	PUNCT
m-386	477	14	,	,	PUNCT
m-386	477	15	(	(	PUNCT
m-386	477	16	,	,	PUNCT
m-386	477	17	)	)	PUNCT
m-386	477	18	m	m	VERB
m-386	477	19	np	np	INTJ
m-386	477	20	z	z	NOUN
m-386	477	21	w	w	NOUN
m-386	477	22	is	be	AUX
m-386	477	23	general	general	ADJ
m-386	477	24	set	set	VERB
m-386	477	25	satisfies	satisfy	VERB
m-386	477	26	the	the	DET
m-386	477	27	condition	condition	NOUN
m-386	477	28	(	(	PUNCT
m-386	477	29	2.6	2.6	NUM
m-386	477	30	)	)	PUNCT
m-386	477	31	,	,	PUNCT
m-386	477	32	which	which	PRON
m-386	477	33	is	be	AUX
m-386	477	34	effective	effective	ADJ
m-386	477	35	at	at	ADP
m-386	477	36	the	the	DET
m-386	477	37	origin	origin	NOUN
m-386	477	38	of	of	ADP
m-386	477	39	2c	2c	NUM
m-386	477	40	,	,	PUNCT
m-386	477	41	then	then	ADV
m-386	477	42	the	the	DET
m-386	477	43	similar	similar	ADJ
m-386	477	44	transposed	transpose	VERB
m-386	477	45	set	set	NOUN
m-386	477	46			PROPN
m-386	477	47			PROPN
m-386	477	48	,	,	PUNCT
m-386	477	49	(	(	PUNCT
m-386	477	50	,	,	PUNCT
m-386	477	51	)	)	PUNCT
m-386	477	52	m	m	VERB
m-386	477	53	nu	nu	PROPN
m-386	477	54	z	z	PROPN
m-386	477	55	w	w	PROPN
m-386	477	56	holds	hold	VERB
m-386	477	57	:	:	PUNCT
m-386	477	58	(	(	PUNCT
m-386	477	59	2.20	2.20	NUM
m-386	477	60	)	)	PUNCT
m-386	478	1	[	[	X
m-386	478	2	0	0	X
m-386	478	3	]	]	PUNCT
m-386	478	4	0	0	PROPN
m-386	478	5			PROPN
m-386	478	6			PROPN
m-386	478	7	.	.	PUNCT
m-386	479	1	proof	proof	NOUN
m-386	479	2	:	:	PUNCT
m-386	479	3	ijo	ijo	PROPN
m-386	479	4	international	international	PROPN
m-386	479	5	journal	journal	PROPN
m-386	479	6	of	of	ADP
m-386	479	7	mathematics	mathematics	PROPN
m-386	479	8	volume	volume	PROPN
m-386	479	9	3|	3|	NUM
m-386	479	10	issue	issue	NOUN
m-386	480	1	12|	12|	NUM
m-386	480	2	december	december	PROPN
m-386	480	3	|	|	NOUN
m-386	480	4	2020	2020	NUM
m-386	480	5	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	480	6	7	7	NUM
m-386	480	7	from	from	ADP
m-386	480	8	effectiveness	effectiveness	NOUN
m-386	480	9	of	of	ADP
m-386	480	10	the	the	DET
m-386	480	11	general	general	ADJ
m-386	480	12	set	set	VERB
m-386	480	13			PROPN
m-386	480	14	(1	(1	PROPN
m-386	480	15	)	)	PUNCT
m-386	480	16	,	,	PUNCT
m-386	480	17	(	(	PUNCT
m-386	480	18	,	,	PUNCT
m-386	480	19	)	)	PUNCT
m-386	480	20	m	m	VERB
m-386	480	21	np	np	INTJ
m-386	480	22	z	z	NOUN
m-386	480	23	w	w	NOUN
m-386	480	24	at	at	ADP
m-386	480	25	the	the	DET
m-386	480	26	origin	origin	NOUN
m-386	480	27	,	,	PUNCT
m-386	480	28	that	that	SCONJ
m-386	480	29	(	(	PUNCT
m-386	480	30	2.21	2.21	NUM
m-386	480	31	)	)	SYM
m-386	480	32	1	1	NUM
m-386	480	33	(	(	PUNCT
m-386	480	34	1	1	NUM
m-386	480	35	)	)	PUNCT
m-386	480	36	(	(	PUNCT
m-386	480	37	1	1	NUM
m-386	480	38	)	)	PUNCT
m-386	480	39	,	,	PUNCT
m-386	480	40	1	1	NUM
m-386	481	1	[	[	X
m-386	481	2	0	0	NUM
m-386	481	3	]	]	SYM
m-386	481	4	sup	sup	NOUN
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m-386	482	4	n	n	PRON
m-386	482	5	m	m	VERB
m-386	482	6	n	n	ADV
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m-386	482	8	m	m	PROPN
m-386	482	9	p	p	NOUN
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m-386	482	13			PUNCT
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m-386	482	15			ADV
m-386	482	16			PROPN
m-386	482	17			X
m-386	483	1			PROPN
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m-386	483	3			INTJ
m-386	484	1			PROPN
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m-386	486	1	[	[	X
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m-386	486	5	(	(	PUNCT
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m-386	488	2	s	s	PROPN
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m-386	489	7			NUM
m-386	489	8			PROPN
m-386	489	9			NOUN
m-386	489	10			X
m-386	489	11			PROPN
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m-386	489	13			VERB
m-386	489	14			NUM
m-386	489	15			X
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m-386	489	17	(	(	PUNCT
m-386	489	18	1	1	NUM
m-386	489	19	)	)	PUNCT
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m-386	489	21	3	3	NUM
m-386	489	22	4	4	NUM
m-386	489	23	1	1	NUM
m-386	489	24	1	1	NUM
m-386	489	25	[	[	PUNCT
m-386	489	26	]	]	X
m-386	489	27	(	(	PUNCT
m-386	489	28	)	)	PUNCT
m-386	489	29	;	;	PUNCT
m-386	489	30	,	,	PUNCT
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m-386	489	32	m	m	VERB
m-386	489	33	n	n	NOUN
m-386	489	34	m	m	NOUN
m-386	489	35	n	n	ADJ
m-386	489	36	k	k	NOUN
m-386	489	37	m	m	VERB
m-386	489	38	n	n	ADV
m-386	489	39	r	r	NOUN
m-386	489	40	r	r	X
m-386	489	41			PROPN
m-386	489	42			X
m-386	489	43			NUM
m-386	489	44	.	.	PUNCT
m-386	490	1	by	by	ADP
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m-386	490	3	(	(	PUNCT
m-386	490	4	2.5	2.5	NUM
m-386	490	5	)	)	PUNCT
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m-386	490	7	(	(	PUNCT
m-386	490	8	2.6	2.6	NUM
m-386	490	9	)	)	PUNCT
m-386	490	10	;	;	PUNCT
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m-386	490	12	have	have	VERB
m-386	490	13	(	(	PUNCT
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m-386	490	15	)	)	PUNCT
m-386	490	16	(	(	PUNCT
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m-386	490	18	)	)	PUNCT
m-386	490	19	,	,	PUNCT
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m-386	490	21	4	4	NUM
m-386	490	22	5	5	NUM
m-386	490	23	1	1	NUM
m-386	490	24	1	1	NUM
m-386	490	25	,	,	PUNCT
m-386	490	26	(	(	PUNCT
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m-386	490	28	m	m	VERB
m-386	490	29	n	n	VERB
m-386	490	30	m	m	VERB
m-386	490	31	n	n	ADV
m-386	490	32	m	m	VERB
m-386	490	33	nm	nm	ADJ
m-386	490	34	p	p	NOUN
m-386	490	35	k	k	NOUN
m-386	490	36	r	r	NOUN
m-386	490	37	r	r	NOUN
m-386	490	38			PROPN
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m-386	490	40			NOUN
m-386	490	41			X
m-386	490	42			NOUN
m-386	490	43			NOUN
m-386	490	44			PROPN
m-386	490	45	(	(	PUNCT
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m-386	490	47	)	)	PUNCT
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m-386	490	49	1	1	NUM
m-386	490	50	)	)	PUNCT
m-386	490	51	,	,	PUNCT
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m-386	490	53	3	3	NUM
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m-386	490	55	1	1	NUM
m-386	490	56	1	1	NUM
m-386	490	57	,	,	PUNCT
m-386	490	58	(	(	PUNCT
m-386	490	59	)	)	PUNCT
m-386	490	60	;	;	PUNCT
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m-386	490	62	0	0	NUM
m-386	490	63	m	m	VERB
m-386	490	64	n	n	NOUN
m-386	490	65	m	m	VERB
m-386	490	66	n	n	ADV
m-386	490	67	m	m	VERB
m-386	490	68	nm	nm	ADJ
m-386	490	69	p	p	X
m-386	491	1	k	k	PROPN
m-386	491	2	m	m	VERB
m-386	491	3	n	n	ADV
m-386	491	4	r	r	NOUN
m-386	491	5	r	r	NOUN
m-386	491	6			PROPN
m-386	491	7			PROPN
m-386	491	8			NOUN
m-386	491	9			PROPN
m-386	491	10			PROPN
m-386	491	11			VERB
m-386	491	12			PROPN
m-386	491	13	.	.	PUNCT
m-386	492	1	by	by	ADP
m-386	492	2	(	(	PUNCT
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m-386	492	4	)	)	PUNCT
m-386	492	5	,	,	PUNCT
m-386	492	6	(	(	PUNCT
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m-386	492	8	)	)	PUNCT
m-386	492	9	,	,	PUNCT
m-386	492	10	(	(	PUNCT
m-386	492	11	2.23	2.23	NUM
m-386	492	12	)	)	PUNCT
m-386	492	13	and	and	CCONJ
m-386	492	14	cauchy	cauchy	PROPN
m-386	492	15	's	's	PART
m-386	492	16	inequality	inequality	NOUN
m-386	492	17	it	it	PRON
m-386	492	18	follows	follow	VERB
m-386	492	19	that	that	SCONJ
m-386	492	20	:	:	PUNCT
m-386	492	21	(	(	PUNCT
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m-386	492	23	)	)	PUNCT
m-386	492	24	1	1	NUM
m-386	492	25	3	3	NUM
m-386	492	26	,	,	PUNCT
m-386	492	27	,	,	PUNCT
m-386	492	28	3	3	NUM
m-386	492	29	1	1	NUM
m-386	492	30	[	[	PUNCT
m-386	492	31	;	;	PUNCT
m-386	492	32	]	]	PUNCT
m-386	492	33	max	max	PROPN
m-386	492	34	(	(	PUNCT
m-386	492	35	,	,	PUNCT
m-386	492	36	)	)	PUNCT
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m-386	493	2	m	m	VERB
m-386	493	3	n	n	VERB
m-386	493	4	m	m	VERB
m-386	493	5	n	n	NOUN
m-386	493	6	s	s	NOUN
m-386	493	7	m	m	VERB
m-386	493	8	u	u	NOUN
m-386	493	9	u	u	NOUN
m-386	493	10	z	z	PROPN
m-386	493	11	w	w	PROPN
m-386	493	12	r	r	NOUN
m-386	493	13			PROPN
m-386	493	14	(	(	PUNCT
m-386	493	15	,	,	PUNCT
m-386	493	16	)	)	PUNCT
m-386	493	17	(	(	PUNCT
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m-386	493	19	)	)	PUNCT
m-386	493	20	(	(	PUNCT
m-386	493	21	,	,	PUNCT
m-386	493	22	)	)	PUNCT
m-386	493	23	(	(	PUNCT
m-386	493	24	1	1	NUM
m-386	493	25	)	)	PUNCT
m-386	493	26	,	,	PUNCT
m-386	493	27	(	(	PUNCT
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m-386	493	29	)	)	PUNCT
m-386	493	30	,	,	PUNCT
m-386	493	31	(	(	PUNCT
m-386	493	32	1	1	NUM
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m-386	493	38	(	(	PUNCT
m-386	493	39	,	,	PUNCT
m-386	493	40	)	)	PUNCT
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m-386	494	1	(	(	PUNCT
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m-386	494	3	)	)	PUNCT
m-386	494	4	0	0	NUM
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m-386	495	3	)	)	PUNCT
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m-386	495	6	,	,	PUNCT
m-386	495	7	(	(	PUNCT
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m-386	495	9	)	)	PUNCT
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m-386	495	11	(	(	PUNCT
m-386	495	12	,	,	PUNCT
m-386	495	13	)	)	PUNCT
m-386	495	14	(	(	PUNCT
m-386	495	15	,	,	PUNCT
m-386	495	16	)	)	PUNCT
m-386	495	17	(	(	PUNCT
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m-386	495	19	)	)	PUNCT
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m-386	495	22	)	)	PUNCT
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m-386	495	27	,	,	PUNCT
m-386	495	28	(	(	PUNCT
m-386	495	29	1	1	X
m-386	495	30	)	)	PUNCT
m-386	495	31	,	,	PUNCT
m-386	495	32	3	3	NUM
m-386	495	33	,	,	PUNCT
m-386	495	34	,	,	PUNCT
m-386	495	35	,	,	PUNCT
m-386	495	36	(	(	PUNCT
m-386	495	37	1	1	X
m-386	495	38	)	)	PUNCT
m-386	495	39	(	(	PUNCT
m-386	495	40	,	,	PUNCT
m-386	495	41	)	)	PUNCT
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m-386	496	1	(	(	PUNCT
m-386	496	2	,	,	PUNCT
m-386	496	3	)	)	PUNCT
m-386	496	4	0	0	NUM
m-386	497	1	(	(	PUNCT
m-386	497	2	,	,	PUNCT
m-386	497	3	)	)	PUNCT
m-386	497	4	0	0	NUM
m-386	497	5	,	,	PUNCT
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m-386	497	7	1	1	NUM
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m-386	497	9	|	|	ADV
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m-386	498	1	||	||	PUNCT
m-386	499	1	|	|	ADV
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m-386	499	5	[	[	PUNCT
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m-386	499	7	]	]	PUNCT
m-386	500	1	|	|	ADV
m-386	500	2	||	||	INTJ
m-386	500	3	||	||	PUNCT
m-386	501	1	|	|	ADV
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m-386	501	3	[	[	PUNCT
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m-386	503	1	i	i	PRON
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m-386	504	1	h	h	NOUN
m-386	505	1	k	k	PROPN
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m-386	507	1	s	s	PROPN
m-386	507	2	t	t	PROPN
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m-386	507	7	h	h	NOUN
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m-386	511	1	k	k	PROPN
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m-386	512	5	s	s	X
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m-386	513	4	h	h	NOUN
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m-386	519	2	h	h	NOUN
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m-386	523	1	k	k	PROPN
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m-386	525	1	t	t	X
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m-386	530	30	)	)	PUNCT
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m-386	530	33	)	)	PUNCT
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m-386	530	36	)	)	PUNCT
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m-386	532	12	)	)	PUNCT
m-386	532	13	(	(	PUNCT
m-386	532	14	,	,	PUNCT
m-386	532	15	)	)	PUNCT
m-386	532	16	(	(	PUNCT
m-386	532	17	,	,	PUNCT
m-386	532	18	)	)	PUNCT
m-386	532	19	(	(	PUNCT
m-386	532	20	1	1	NUM
m-386	532	21	)	)	PUNCT
m-386	532	22	,	,	PUNCT
m-386	532	23	(	(	PUNCT
m-386	532	24	2	2	X
m-386	532	25	)	)	PUNCT
m-386	532	26	,	,	PUNCT
m-386	532	27	2	2	NUM
m-386	532	28	1	1	NUM
m-386	532	29	,	,	PUNCT
m-386	532	30	,	,	PUNCT
m-386	532	31	(	(	PUNCT
m-386	532	32	,	,	PUNCT
m-386	532	33	)	)	PUNCT
m-386	532	34	0	0	NUM
m-386	533	1	(	(	PUNCT
m-386	533	2	,	,	PUNCT
m-386	533	3	)	)	PUNCT
m-386	533	4	0	0	NUM
m-386	534	1	(	(	PUNCT
m-386	534	2	,	,	PUNCT
m-386	534	3	)	)	PUNCT
m-386	534	4	0	0	NUM
m-386	534	5	4	4	NUM
m-386	534	6	,	,	PUNCT
m-386	534	7	3	3	NUM
m-386	534	8	1	1	NUM
m-386	534	9	[	[	PUNCT
m-386	534	10	]	]	SYM
m-386	534	11	1	1	NUM
m-386	534	12	1	1	NUM
m-386	535	1	|	|	ADV
m-386	535	2	||	||	INTJ
m-386	536	1	|	|	ADV
m-386	536	2	(	(	PUNCT
m-386	536	3	)	)	PUNCT
m-386	536	4	1	1	NUM
m-386	536	5	[	[	PUNCT
m-386	536	6	,	,	PUNCT
m-386	536	7	]	]	SYM
m-386	536	8	1	1	NUM
m-386	536	9	1	1	NUM
m-386	537	1	|	|	ADV
m-386	537	2	||	||	INTJ
m-386	538	1	|	|	ADV
m-386	538	2	(	(	PUNCT
m-386	538	3	)	)	PUNCT
m-386	539	1	i	i	PRON
m-386	539	2	jm	jm	PROPN
m-386	540	1	n	n	PROPN
m-386	540	2	h	h	NOUN
m-386	541	1	k	k	NOUN
m-386	542	1	i	i	PRON
m-386	542	2	j	j	NOUN
m-386	543	1	h	h	NOUN
m-386	544	1	k	k	PROPN
m-386	545	1	i	i	PRON
m-386	545	2	j	j	PROPN
m-386	545	3	s	s	PROPN
m-386	545	4	t	t	PROPN
m-386	545	5	m	m	PROPN
m-386	546	1	n	n	NUM
m-386	546	2	h	h	NOUN
m-386	547	1	k	k	NOUN
m-386	547	2	h	h	NOUN
m-386	548	1	k	k	PROPN
m-386	549	1	i	i	PRON
m-386	549	2	j	j	PROPN
m-386	549	3	s	s	PROPN
m-386	550	1	t	t	X
m-386	551	1	i	i	PRON
m-386	551	2	j	j	PROPN
m-386	551	3	s	s	PROPN
m-386	551	4	t	t	PROPN
m-386	551	5	s	s	PROPN
m-386	551	6	t	t	PROPN
m-386	551	7	m	m	PROPN
m-386	552	1	n	n	PRON
m-386	552	2	h	h	NOUN
m-386	553	1	k	k	NOUN
m-386	554	1	i	i	PRON
m-386	554	2	j	j	NOUN
m-386	555	1	h	h	NOUN
m-386	556	1	k	k	PROPN
m-386	557	1	i	i	PRON
m-386	557	2	j	j	PROPN
m-386	557	3	s	s	PROPN
m-386	557	4	t	t	PROPN
m-386	557	5	m	m	PROPN
m-386	558	1	n	n	NUM
m-386	558	2	h	h	NOUN
m-386	559	1	k	k	NOUN
m-386	560	1	i	i	PRON
m-386	560	2	j	j	NOUN
m-386	561	1	h	h	NOUN
m-386	562	1	k	k	PROPN
m-386	563	1	i	i	PRON
m-386	563	2	j	j	PROPN
m-386	563	3	s	s	PROPN
m-386	564	1	t	t	X
m-386	564	2	i	i	PRON
m-386	565	1	j	j	PROPN
m-386	566	1	r	r	NOUN
m-386	566	2	p	p	NOUN
m-386	566	3	p	p	NOUN
m-386	566	4	r	r	NOUN
m-386	566	5	m	m	NOUN
m-386	566	6	p	p	NOUN
m-386	566	7	r	r	NOUN
m-386	566	8	r	r	NOUN
m-386	567	1	k	k	NOUN
m-386	568	1	p	p	X
m-386	568	2	p	p	NOUN
m-386	568	3	r	r	NOUN
m-386	568	4	r	r	NOUN
m-386	568	5			X
m-386	568	6			X
m-386	568	7			PUNCT
m-386	568	8			ADV
m-386	569	1			NOUN
m-386	569	2			PROPN
m-386	569	3			PROPN
m-386	569	4			ADV
m-386	569	5			PUNCT
m-386	570	1			PROPN
m-386	570	2			PROPN
m-386	570	3			NUM
m-386	570	4			NOUN
m-386	570	5			X
m-386	570	6			X
m-386	570	7			X
m-386	570	8			X
m-386	570	9			X
m-386	570	10			X
m-386	570	11	(	(	PUNCT
m-386	570	12	,	,	PUNCT
m-386	570	13	)	)	PUNCT
m-386	570	14	(	(	PUNCT
m-386	570	15	,	,	PUNCT
m-386	570	16	)	)	PUNCT
m-386	570	17	(	(	PUNCT
m-386	570	18	,	,	PUNCT
m-386	570	19	)	)	PUNCT
m-386	570	20	(	(	PUNCT
m-386	570	21	1	1	NUM
m-386	570	22	)	)	PUNCT
m-386	570	23	,	,	PUNCT
m-386	570	24	(	(	PUNCT
m-386	570	25	2	2	X
m-386	570	26	)	)	PUNCT
m-386	570	27	2	2	NUM
m-386	570	28	1	1	NUM
m-386	570	29	,	,	PUNCT
m-386	570	30	,	,	PUNCT
m-386	570	31	(	(	PUNCT
m-386	570	32	,	,	PUNCT
m-386	570	33	)	)	PUNCT
m-386	570	34	0	0	NUM
m-386	571	1	(	(	PUNCT
m-386	571	2	,	,	PUNCT
m-386	571	3	)	)	PUNCT
m-386	571	4	0	0	NUM
m-386	572	1	(	(	PUNCT
m-386	572	2	,	,	PUNCT
m-386	572	3	)	)	PUNCT
m-386	572	4	0	0	NUM
m-386	572	5	4	4	NUM
m-386	572	6	3	3	NUM
m-386	572	7	(	(	PUNCT
m-386	572	8	,	,	PUNCT
m-386	572	9	)	)	PUNCT
m-386	572	10	(	(	PUNCT
m-386	572	11	,	,	PUNCT
m-386	572	12	)	)	PUNCT
m-386	572	13	(	(	PUNCT
m-386	572	14	1	1	X
m-386	572	15	)	)	PUNCT
m-386	572	16	,	,	PUNCT
m-386	572	17	2	2	NUM
m-386	572	18	1	1	NUM
m-386	572	19	,	,	PUNCT
m-386	572	20	(	(	PUNCT
m-386	572	21	,	,	PUNCT
m-386	572	22	)	)	PUNCT
m-386	572	23	0	0	NUM
m-386	573	1	(	(	PUNCT
m-386	573	2	,	,	PUNCT
m-386	573	3	)	)	PUNCT
m-386	573	4	0	0	NUM
m-386	573	5	5	5	NUM
m-386	573	6	,	,	PUNCT
m-386	573	7	3	3	NUM
m-386	573	8	(	(	PUNCT
m-386	573	9	1	1	NUM
m-386	573	10	)	)	PUNCT
m-386	573	11	1	1	NUM
m-386	573	12	,	,	PUNCT
m-386	573	13	5	5	NUM
m-386	573	14	1	1	NUM
m-386	574	1	|	|	ADV
m-386	574	2	|	|	ADV
m-386	574	3	[	[	PUNCT
m-386	574	4	,	,	PUNCT
m-386	574	5	]	]	X
m-386	574	6	(	(	PUNCT
m-386	574	7	)	)	PUNCT
m-386	574	8	1	1	NUM
m-386	574	9	1	1	NUM
m-386	575	1	|	|	ADV
m-386	575	2	|	|	ADV
m-386	575	3	(	(	PUNCT
m-386	575	4	)	)	PUNCT
m-386	575	5	1	1	NUM
m-386	575	6	[	[	PUNCT
m-386	575	7	,	,	PUNCT
m-386	575	8	]	]	PUNCT
m-386	575	9	.	.	PUNCT
m-386	576	1	m	m	VERB
m-386	576	2	n	n	NUM
m-386	577	1	h	h	NOUN
m-386	578	1	k	k	NOUN
m-386	579	1	i	i	PRON
m-386	579	2	j	j	PROPN
m-386	580	1	h	h	NOUN
m-386	581	1	k	k	PROPN
m-386	581	2	s	s	PROPN
m-386	581	3	t	t	PROPN
m-386	581	4	m	m	NOUN
m-386	581	5	n	n	NUM
m-386	581	6	h	h	NOUN
m-386	582	1	k	k	NOUN
m-386	582	2	h	h	NOUN
m-386	583	1	k	k	PROPN
m-386	584	1	i	i	PRON
m-386	584	2	j	j	PROPN
m-386	584	3	s	s	PROPN
m-386	584	4	t	t	PROPN
m-386	584	5	m	m	VERB
m-386	584	6	n	n	ADV
m-386	585	1	i	i	PRON
m-386	585	2	j	j	PROPN
m-386	586	1	h	h	NOUN
m-386	587	1	k	k	PROPN
m-386	587	2	s	s	PROPN
m-386	587	3	t	t	PROPN
m-386	587	4	m	m	NOUN
m-386	587	5	n	n	NUM
m-386	587	6	h	h	NOUN
m-386	588	1	k	k	NOUN
m-386	588	2	h	h	PROPN
m-386	589	1	k	k	PROPN
m-386	589	2	s	s	PROPN
m-386	589	3	t	t	PROPN
m-386	589	4	h	h	NOUN
m-386	590	1	k	k	NOUN
m-386	590	2	m	m	VERB
m-386	591	1	n	n	ADV
m-386	591	2	r	r	NOUN
m-386	592	1	k	k	NOUN
m-386	593	1	p	p	NOUN
m-386	593	2	m	m	NOUN
m-386	593	3	p	p	NOUN
m-386	593	4	r	r	NOUN
m-386	593	5	r	r	NOUN
m-386	593	6	r	r	NOUN
m-386	593	7	k	k	NOUN
m-386	594	1	p	p	NOUN
m-386	594	2	r	r	NOUN
m-386	594	3	r	r	NOUN
m-386	594	4	k	k	NOUN
m-386	594	5	m	m	VERB
m-386	594	6	p	p	NOUN
m-386	594	7	r	r	NOUN
m-386	594	8			PROPN
m-386	594	9			ADV
m-386	595	1			NOUN
m-386	595	2			PROPN
m-386	595	3			PROPN
m-386	595	4			ADV
m-386	595	5			PUNCT
m-386	595	6			PROPN
m-386	595	7			NUM
m-386	595	8			X
m-386	595	9			X
m-386	595	10			X
m-386	595	11			X
m-386	595	12			X
m-386	595	13	taking	take	VERB
m-386	595	14	m	m	PROPN
m-386	595	15	n	n	NOUN
m-386	595	16			NOUN
m-386	595	17	and	and	CCONJ
m-386	595	18	keeping	keep	VERB
m-386	595	19	in	in	ADP
m-386	595	20	mind	mind	NOUN
m-386	595	21	that	that	SCONJ
m-386	595	22	the	the	DET
m-386	595	23	set	set	NOUN
m-386	595	24			PROPN
m-386	595	25	(1	(1	PROPN
m-386	595	26	)	)	PUNCT
m-386	595	27	,	,	PUNCT
m-386	595	28	(	(	PUNCT
m-386	595	29	,	,	PUNCT
m-386	595	30	)	)	PUNCT
m-386	595	31	m	m	VERB
m-386	595	32	np	np	INTJ
m-386	595	33	z	z	NOUN
m-386	595	34	w	w	NOUN
m-386	595	35	satisfies	satisfie	NOUN
m-386	595	36	(	(	PUNCT
m-386	595	37	2.5	2.5	NUM
m-386	595	38	)	)	PUNCT
m-386	595	39	,	,	PUNCT
m-386	595	40	we	we	PRON
m-386	595	41	get	get	VERB
m-386	595	42			ADJ
m-386	595	43			ADP
m-386	595	44			ADJ
m-386	595	45	(1)0	(1)0	NOUN
m-386	595	46	0	0	NUM
m-386	595	47	0	0	NUM
m-386	595	48			PROPN
m-386	595	49			NOUN
m-386	595	50			ADV
m-386	595	51			PROPN
m-386	595	52	.	.	PUNCT
m-386	596	1	ijo	ijo	PROPN
m-386	596	2	international	international	PROPN
m-386	596	3	journal	journal	PROPN
m-386	596	4	of	of	ADP
m-386	596	5	mathematics	mathematics	PROPN
m-386	596	6	volume	volume	PROPN
m-386	596	7	3|	3|	NUM
m-386	596	8	issue	issue	NOUN
m-386	596	9	12|	12|	NUM
m-386	596	10	december	december	PROPN
m-386	596	11	|	|	NOUN
m-386	596	12	2020	2020	NUM
m-386	596	13	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	596	14	8	8	NUM
m-386	596	15	therefore	therefore	ADV
m-386	596	16	we	we	PRON
m-386	596	17	get	get	VERB
m-386	596	18			ADJ
m-386	596	19	0	0	NOUN
m-386	596	20	0	0	NUM
m-386	596	21			PROPN
m-386	597	1			PROPN
m-386	598	1	.	.	PUNCT
m-386	599	1	lemma	lemma	PROPN
m-386	599	2	(	(	PUNCT
m-386	599	3	2.4	2.4	NUM
m-386	599	4	):	):	PUNCT
m-386	599	5	the	the	DET
m-386	599	6	similar	similar	ADJ
m-386	599	7	transposed	transpose	VERB
m-386	599	8	set	set	NOUN
m-386	599	9			PROPN
m-386	599	10			PROPN
m-386	599	11	,	,	PUNCT
m-386	599	12	(	(	PUNCT
m-386	599	13	,	,	PUNCT
m-386	599	14	)	)	PUNCT
m-386	599	15	m	m	VERB
m-386	599	16	nu	nu	PROPN
m-386	599	17	z	z	PROPN
m-386	599	18	w	w	PROPN
m-386	599	19	,	,	PUNCT
m-386	599	20	satisfies	satisfy	VERB
m-386	599	21	the	the	DET
m-386	599	22	condition	condition	NOUN
m-386	599	23	(	(	PUNCT
m-386	599	24	2.25	2.25	NUM
m-386	599	25	)	)	PUNCT
m-386	599	26			NOUN
m-386	599	27			PROPN
m-386	599	28	0	0	NUM
m-386	599	29	0r	0r	PROPN
m-386	599	30	for	for	ADP
m-386	599	31	r	r	ADJ
m-386	599	32	whenever	whenever	SCONJ
m-386	599	33	the	the	DET
m-386	599	34	transposed	transpose	VERB
m-386	599	35	sets	set	NOUN
m-386	599	36			PROPN
m-386	599	37			PROPN
m-386	599	38	(	(	PUNCT
m-386	599	39	)	)	PUNCT
m-386	599	40	,	,	PUNCT
m-386	599	41	(	(	PUNCT
m-386	599	42	,	,	PUNCT
m-386	599	43	)	)	PUNCT
m-386	599	44	;	;	PUNCT
m-386	599	45	1,2i	1,2i	NUM
m-386	599	46	m	m	VERB
m-386	599	47	np	np	ADP
m-386	599	48	z	z	PROPN
m-386	599	49	w	w	PROPN
m-386	600	1	i	i	PRON
m-386	600	2			VERB
m-386	600	3	satisfy	satisfy	VERB
m-386	600	4	the	the	DET
m-386	600	5	condition	condition	NOUN
m-386	600	6	(	(	PUNCT
m-386	600	7	2.5	2.5	NUM
m-386	600	8	)	)	PUNCT
m-386	600	9	and	and	CCONJ
m-386	600	10	(	(	PUNCT
m-386	600	11	2.6	2.6	NUM
m-386	600	12	)	)	PUNCT
m-386	600	13	and	and	CCONJ
m-386	600	14	the	the	DET
m-386	600	15	set	set	NOUN
m-386	600	16			PROPN
m-386	600	17	(2	(2	PROPN
m-386	600	18	)	)	PUNCT
m-386	600	19	,	,	PUNCT
m-386	600	20	(	(	PUNCT
m-386	600	21	,	,	PUNCT
m-386	600	22	)	)	PUNCT
m-386	600	23	m	m	VERB
m-386	600	24	np	np	INTJ
m-386	600	25	z	z	NOUN
m-386	600	26	w	w	NOUN
m-386	600	27	is	be	AUX
m-386	600	28	effective	effective	ADJ
m-386	600	29	at	at	ADP
m-386	600	30	the	the	DET
m-386	600	31	origin	origin	NOUN
m-386	600	32	.	.	PUNCT
m-386	601	1	proof	proof	NOUN
m-386	601	2	:	:	PUNCT
m-386	601	3	the	the	DET
m-386	601	4	transposed	transpose	VERB
m-386	601	5	sets	set	NOUN
m-386	601	6			PROPN
m-386	601	7			PROPN
m-386	601	8	(	(	PUNCT
m-386	601	9	)	)	PUNCT
m-386	601	10	,	,	PUNCT
m-386	601	11	(	(	PUNCT
m-386	601	12	,	,	PUNCT
m-386	601	13	)	)	PUNCT
m-386	601	14	;	;	PUNCT
m-386	601	15	1,2i	1,2i	NUM
m-386	601	16	m	m	VERB
m-386	601	17	np	np	ADP
m-386	601	18	z	z	PROPN
m-386	601	19	w	w	PROPN
m-386	602	1	i	i	PRON
m-386	602	2			VERB
m-386	602	3	satisfy	satisfy	VERB
m-386	602	4	the	the	DET
m-386	602	5	condition	condition	NOUN
m-386	602	6	(	(	PUNCT
m-386	602	7	2.6	2.6	NUM
m-386	602	8	)	)	PUNCT
m-386	602	9	we	we	PRON
m-386	602	10	get	get	VERB
m-386	602	11	(	(	PUNCT
m-386	602	12	2.26	2.26	NUM
m-386	602	13	)	)	PUNCT
m-386	602	14	(	(	PUNCT
m-386	602	15	1	1	NUM
m-386	602	16	)	)	PUNCT
m-386	602	17	,	,	PUNCT
m-386	602	18	,	,	PUNCT
m-386	602	19	4	4	NUM
m-386	602	20	5	5	NUM
m-386	602	21	1	1	NUM
m-386	602	22	1	1	NUM
m-386	602	23	[	[	PUNCT
m-386	602	24	;	;	PUNCT
m-386	602	25	]	]	PUNCT
m-386	602	26	(	(	PUNCT
m-386	602	27	)	)	PUNCT
m-386	602	28	m	m	VERB
m-386	602	29	n	n	VERB
m-386	602	30	m	m	VERB
m-386	602	31	n	n	ADJ
m-386	603	1	h	h	NOUN
m-386	603	2	km	km	NOUN
m-386	604	1	p	p	NOUN
m-386	605	1	k	k	NOUN
m-386	606	1	r	r	NOUN
m-386	606	2	r	r	NOUN
m-386	606	3			PROPN
m-386	606	4			X
m-386	606	5	.	.	PUNCT
m-386	607	1	also	also	ADV
m-386	607	2	,	,	PUNCT
m-386	607	3	the	the	DET
m-386	607	4	transposed	transpose	VERB
m-386	607	5	set	set	NOUN
m-386	607	6			PROPN
m-386	607	7	(2	(2	PROPN
m-386	607	8	)	)	PUNCT
m-386	607	9	,	,	PUNCT
m-386	607	10	(	(	PUNCT
m-386	607	11	,	,	PUNCT
m-386	607	12	)	)	PUNCT
m-386	607	13	m	m	VERB
m-386	607	14	np	np	INTJ
m-386	607	15	z	z	NOUN
m-386	607	16	w	w	NOUN
m-386	607	17	is	be	AUX
m-386	607	18	effective	effective	ADJ
m-386	607	19	at	at	ADP
m-386	607	20	the	the	DET
m-386	607	21	origin	origin	NOUN
m-386	607	22	,	,	PUNCT
m-386	607	23	satisfies	satisfy	VERB
m-386	607	24	conditions	condition	NOUN
m-386	607	25	(	(	PUNCT
m-386	607	26	2.5	2.5	NUM
m-386	607	27	)	)	PUNCT
m-386	607	28	and	and	CCONJ
m-386	607	29	(	(	PUNCT
m-386	607	30	2.6	2.6	NUM
m-386	607	31	)	)	PUNCT
m-386	607	32	,	,	PUNCT
m-386	607	33	so	so	ADV
m-386	607	34	must	must	AUX
m-386	607	35	be	be	AUX
m-386	607	36	its	its	PRON
m-386	607	37	inverse	inverse	NOUN
m-386	607	38	transposed	transpose	VERB
m-386	607	39	set	set	VERB
m-386	607	40			PROPN
m-386	607	41	(2	(2	PROPN
m-386	607	42	)	)	PUNCT
m-386	607	43	,	,	PUNCT
m-386	607	44	(	(	PUNCT
m-386	607	45	,	,	PUNCT
m-386	607	46	)	)	PUNCT
m-386	607	47	m	m	VERB
m-386	607	48	np	np	INTJ
m-386	607	49	z	z	PROPN
m-386	607	50	w	w	PROPN
m-386	607	51	,	,	PUNCT
m-386	607	52	thus	thus	ADV
m-386	607	53	we	we	PRON
m-386	607	54	get	get	VERB
m-386	607	55	(	(	PUNCT
m-386	607	56	2.27	2.27	NUM
m-386	607	57	)	)	PUNCT
m-386	607	58	(	(	PUNCT
m-386	607	59	2	2	NUM
m-386	607	60	)	)	PUNCT
m-386	607	61	,	,	PUNCT
m-386	607	62	,	,	PUNCT
m-386	607	63	3	3	NUM
m-386	607	64	4	4	NUM
m-386	607	65	1	1	NUM
m-386	607	66	1	1	NUM
m-386	607	67	[	[	PUNCT
m-386	607	68	;	;	PUNCT
m-386	607	69	]	]	PUNCT
m-386	607	70	(	(	PUNCT
m-386	607	71	)	)	PUNCT
m-386	607	72	m	m	VERB
m-386	607	73	n	n	VERB
m-386	607	74	m	m	VERB
m-386	607	75	n	n	ADV
m-386	607	76	m	m	VERB
m-386	607	77	nm	nm	ADJ
m-386	607	78	p	p	NOUN
m-386	608	1	k	k	NOUN
m-386	608	2	r	r	NOUN
m-386	608	3	r	r	NOUN
m-386	608	4			PROPN
m-386	608	5			VERB
m-386	608	6	the	the	DET
m-386	608	7	similar	similar	ADJ
m-386	608	8	transposed	transpose	VERB
m-386	608	9	set	set	NOUN
m-386	608	10			PROPN
m-386	608	11			PROPN
m-386	608	12	,	,	PUNCT
m-386	608	13	(	(	PUNCT
m-386	608	14	,	,	PUNCT
m-386	608	15	)	)	PUNCT
m-386	608	16	m	m	VERB
m-386	608	17	nu	nu	INTJ
m-386	608	18	z	z	NOUN
m-386	608	19	w	w	PROPN
m-386	608	20	written	write	VERB
m-386	608	21	in	in	ADP
m-386	608	22	the	the	DET
m-386	608	23	form	form	NOUN
m-386	608	24	:	:	PUNCT
m-386	608	25			X
m-386	608	26			PROPN
m-386	608	27			PROPN
m-386	608	28			ADV
m-386	608	29			ADV
m-386	608	30	(1	(1	VERB
m-386	608	31	)	)	PUNCT
m-386	608	32	(	(	PUNCT
m-386	608	33	2	2	NUM
m-386	608	34	)	)	PUNCT
m-386	608	35	(	(	PUNCT
m-386	608	36	1	1	NUM
m-386	608	37	)	)	PUNCT
m-386	608	38	,	,	PUNCT
m-386	608	39	,	,	PUNCT
m-386	608	40	,	,	PUNCT
m-386	608	41	,	,	PUNCT
m-386	608	42	(	(	PUNCT
m-386	608	43	,	,	PUNCT
m-386	608	44	)	)	PUNCT
m-386	608	45	(	(	PUNCT
m-386	608	46	,	,	PUNCT
m-386	608	47	)	)	PUNCT
m-386	608	48	(	(	PUNCT
m-386	608	49	,	,	PUNCT
m-386	608	50	)	)	PUNCT
m-386	608	51	(	(	PUNCT
m-386	608	52	,	,	PUNCT
m-386	608	53	)	)	PUNCT
m-386	608	54	m	m	VERB
m-386	608	55	n	n	VERB
m-386	608	56	m	m	VERB
m-386	608	57	n	n	PRON
m-386	608	58	m	m	NOUN
m-386	608	59	n	n	NOUN
m-386	608	60	m	m	NOUN
m-386	608	61	nu	nu	X
m-386	608	62	z	z	PROPN
m-386	608	63	w	w	PROPN
m-386	608	64	p	p	PROPN
m-386	608	65	z	z	PROPN
m-386	608	66	w	w	PROPN
m-386	608	67	p	p	PROPN
m-386	608	68	z	z	PROPN
m-386	608	69	w	w	PROPN
m-386	608	70	p	p	PROPN
m-386	609	1	z	z	NOUN
m-386	610	1	w	w	VERB
m-386	611	1	therefore	therefore	ADV
m-386	611	2			PROPN
m-386	611	3			PROPN
m-386	611	4			PROPN
m-386	611	5			ADV
m-386	611	6			ADV
m-386	611	7	(1	(1	VERB
m-386	611	8	)	)	PUNCT
m-386	611	9	(	(	PUNCT
m-386	611	10	1	1	NUM
m-386	611	11	)	)	PUNCT
m-386	611	12	(	(	PUNCT
m-386	611	13	2	2	NUM
m-386	611	14	)	)	PUNCT
m-386	611	15	,	,	PUNCT
m-386	611	16	,	,	PUNCT
m-386	611	17	,	,	PUNCT
m-386	611	18	,	,	PUNCT
m-386	611	19	(	(	PUNCT
m-386	611	20	,	,	PUNCT
m-386	611	21	)	)	PUNCT
m-386	611	22	(	(	PUNCT
m-386	611	23	,	,	PUNCT
m-386	611	24	)	)	PUNCT
m-386	611	25	(	(	PUNCT
m-386	611	26	,	,	PUNCT
m-386	611	27	)	)	PUNCT
m-386	611	28	(	(	PUNCT
m-386	611	29	,	,	PUNCT
m-386	611	30	)	)	PUNCT
m-386	611	31	m	m	VERB
m-386	611	32	n	n	VERB
m-386	611	33	m	m	VERB
m-386	611	34	n	n	PRON
m-386	611	35	m	m	NOUN
m-386	611	36	n	n	ADV
m-386	611	37	m	m	VERB
m-386	611	38	np	np	INTJ
m-386	611	39	z	z	NOUN
m-386	611	40	w	w	PROPN
m-386	611	41	u	u	PROPN
m-386	611	42	z	z	PROPN
m-386	611	43	w	w	PROPN
m-386	611	44	p	p	PROPN
m-386	611	45	z	z	PROPN
m-386	611	46	w	w	PROPN
m-386	611	47	p	p	PROPN
m-386	611	48	z	z	NOUN
m-386	611	49	w	w	NOUN
m-386	611	50	from	from	ADP
m-386	611	51	which	which	PRON
m-386	611	52	we	we	PRON
m-386	611	53	get	get	VERB
m-386	611	54	(	(	PUNCT
m-386	611	55	,	,	PUNCT
m-386	611	56	)	)	PUNCT
m-386	611	57	(	(	PUNCT
m-386	611	58	,	,	PUNCT
m-386	611	59	)	)	PUNCT
m-386	612	1	(	(	PUNCT
m-386	612	2	,	,	PUNCT
m-386	612	3	)	)	PUNCT
m-386	612	4	(	(	PUNCT
m-386	612	5	1	1	NUM
m-386	612	6	)	)	PUNCT
m-386	612	7	,	,	PUNCT
m-386	612	8	(	(	PUNCT
m-386	612	9	1	1	X
m-386	612	10	)	)	PUNCT
m-386	612	11	,	,	PUNCT
m-386	612	12	(	(	PUNCT
m-386	612	13	2	2	NUM
m-386	612	14	)	)	PUNCT
m-386	612	15	,	,	PUNCT
m-386	612	16	,	,	PUNCT
m-386	612	17	,	,	PUNCT
m-386	612	18	,	,	PUNCT
m-386	612	19	,	,	PUNCT
m-386	612	20	(	(	PUNCT
m-386	612	21	,	,	PUNCT
m-386	612	22	)	)	PUNCT
m-386	612	23	0	0	NUM
m-386	613	1	(	(	PUNCT
m-386	613	2	,	,	PUNCT
m-386	613	3	)	)	PUNCT
m-386	613	4	0	0	NUM
m-386	614	1	(	(	PUNCT
m-386	614	2	,	,	PUNCT
m-386	614	3	)	)	PUNCT
m-386	614	4	0	0	NUM
m-386	615	1	(	(	PUNCT
m-386	615	2	,	,	PUNCT
m-386	615	3	)	)	PUNCT
m-386	616	1	|	|	ADV
m-386	616	2	||	||	INTJ
m-386	616	3	||	||	PUNCT
m-386	617	1	|	|	ADV
m-386	617	2	m	m	VERB
m-386	617	3	n	n	ADJ
m-386	618	1	h	h	NOUN
m-386	619	1	k	k	NOUN
m-386	620	1	i	i	PRON
m-386	620	2	j	j	NOUN
m-386	621	1	h	h	NOUN
m-386	622	1	k	k	PROPN
m-386	623	1	i	i	PRON
m-386	623	2	j	j	PROPN
m-386	624	1	s	s	PROPN
m-386	624	2	t	t	PROPN
m-386	624	3	s	s	PROPN
m-386	624	4	t	t	PROPN
m-386	624	5	m	m	PROPN
m-386	624	6	n	n	PRON
m-386	624	7	m	m	NOUN
m-386	624	8	n	n	ADJ
m-386	624	9	h	h	NOUN
m-386	625	1	k	k	NOUN
m-386	626	1	i	i	PRON
m-386	626	2	j	j	NOUN
m-386	627	1	h	h	NOUN
m-386	628	1	k	k	PROPN
m-386	629	1	i	i	PRON
m-386	629	2	j	j	PROPN
m-386	629	3	s	s	PROPN
m-386	629	4	t	t	PROPN
m-386	629	5	p	p	X
m-386	629	6	z	z	PROPN
m-386	629	7	w	w	PROPN
m-386	629	8	u	u	NOUN
m-386	629	9	p	p	PROPN
m-386	629	10	p	p	PROPN
m-386	629	11	z	z	NOUN
m-386	629	12	w	w	NOUN
m-386	630	1			NUM
m-386	631	1			ADJ
m-386	632	1			PRON
m-386	633	1			NOUN
m-386	633	2			X
m-386	633	3			X
m-386	633	4			X
m-386	633	5	.	.	PUNCT
m-386	634	1	by	by	ADP
m-386	634	2	(	(	PUNCT
m-386	634	3	2.26	2.26	NUM
m-386	634	4	)	)	PUNCT
m-386	634	5	,	,	PUNCT
m-386	634	6	(	(	PUNCT
m-386	634	7	2.27	2.27	NUM
m-386	634	8	)	)	PUNCT
m-386	634	9	and	and	CCONJ
m-386	634	10	cauchy	cauchy	PROPN
m-386	634	11	's	's	PART
m-386	634	12	inequality	inequality	NOUN
m-386	634	13	we	we	PRON
m-386	634	14	obtain	obtain	VERB
m-386	634	15	:	:	PUNCT
m-386	634	16	(	(	PUNCT
m-386	634	17	,	,	PUNCT
m-386	634	18	)	)	PUNCT
m-386	634	19	(	(	PUNCT
m-386	634	20	,	,	PUNCT
m-386	634	21	)	)	PUNCT
m-386	634	22	(	(	PUNCT
m-386	634	23	,	,	PUNCT
m-386	634	24	)	)	PUNCT
m-386	634	25	,	,	PUNCT
m-386	634	26	(	(	PUNCT
m-386	634	27	1	1	X
m-386	634	28	)	)	PUNCT
m-386	634	29	,	,	PUNCT
m-386	634	30	(	(	PUNCT
m-386	634	31	2	2	NUM
m-386	634	32	)	)	PUNCT
m-386	634	33	,	,	PUNCT
m-386	634	34	,	,	PUNCT
m-386	634	35	,	,	PUNCT
m-386	634	36	,	,	PUNCT
m-386	634	37	,	,	PUNCT
m-386	634	38	(	(	PUNCT
m-386	634	39	,	,	PUNCT
m-386	634	40	)	)	PUNCT
m-386	634	41	0	0	NUM
m-386	635	1	(	(	PUNCT
m-386	635	2	,	,	PUNCT
m-386	635	3	)	)	PUNCT
m-386	635	4	0	0	NUM
m-386	636	1	(	(	PUNCT
m-386	636	2	,	,	PUNCT
m-386	636	3	)	)	PUNCT
m-386	636	4	0	0	NUM
m-386	636	5	,	,	PUNCT
m-386	636	6	3	3	NUM
m-386	636	7	(	(	PUNCT
m-386	636	8	,	,	PUNCT
m-386	636	9	)	)	PUNCT
m-386	636	10	(	(	PUNCT
m-386	636	11	,	,	PUNCT
m-386	636	12	)	)	PUNCT
m-386	636	13	(	(	PUNCT
m-386	636	14	,	,	PUNCT
m-386	636	15	)	)	PUNCT
m-386	636	16	,	,	PUNCT
m-386	636	17	(	(	PUNCT
m-386	636	18	1	1	X
m-386	636	19	)	)	PUNCT
m-386	636	20	,	,	PUNCT
m-386	636	21	(	(	PUNCT
m-386	636	22	2	2	NUM
m-386	636	23	)	)	PUNCT
m-386	636	24	,	,	PUNCT
m-386	636	25	,	,	PUNCT
m-386	636	26	,	,	PUNCT
m-386	636	27	,	,	PUNCT
m-386	636	28	,	,	PUNCT
m-386	636	29	(	(	PUNCT
m-386	636	30	,	,	PUNCT
m-386	636	31	)	)	PUNCT
m-386	636	32	0	0	NUM
m-386	637	1	(	(	PUNCT
m-386	637	2	,	,	PUNCT
m-386	637	3	)	)	PUNCT
m-386	637	4	0	0	NUM
m-386	638	1	(	(	PUNCT
m-386	638	2	,	,	PUNCT
m-386	638	3	)	)	PUNCT
m-386	638	4	0	0	NUM
m-386	638	5	,	,	PUNCT
m-386	638	6	3	3	NUM
m-386	638	7	1	1	NUM
m-386	638	8	|	|	ADV
m-386	638	9	||	||	INTJ
m-386	639	1	||	||	PUNCT
m-386	640	1	|	|	ADV
m-386	640	2	1	1	NUM
m-386	641	1	|	|	ADV
m-386	641	2	||	||	INTJ
m-386	641	3	||	||	PUNCT
m-386	642	1	|	|	ADV
m-386	642	2	m	m	VERB
m-386	642	3	n	n	ADJ
m-386	643	1	h	h	NOUN
m-386	644	1	k	k	NOUN
m-386	645	1	i	i	PRON
m-386	645	2	j	j	PROPN
m-386	645	3	m	m	VERB
m-386	645	4	n	n	VERB
m-386	645	5	h	h	NOUN
m-386	646	1	k	k	NOUN
m-386	647	1	i	i	PRON
m-386	647	2	j	j	PROPN
m-386	647	3	s	s	PROPN
m-386	647	4	t	t	PROPN
m-386	647	5	m	m	VERB
m-386	647	6	n	n	PRON
m-386	647	7	m	m	NOUN
m-386	647	8	n	n	ADJ
m-386	648	1	h	h	NOUN
m-386	649	1	k	k	NOUN
m-386	650	1	i	i	PRON
m-386	650	2	j	j	PROPN
m-386	650	3	s	s	PROPN
m-386	651	1	t	t	PROPN
m-386	651	2	h	h	NOUN
m-386	652	1	k	k	PROPN
m-386	653	1	i	i	PRON
m-386	654	1	j	j	PROPN
m-386	654	2	s	s	PROPN
m-386	654	3	t	t	PROPN
m-386	654	4	s	s	PROPN
m-386	654	5	t	t	PROPN
m-386	654	6	m	m	PROPN
m-386	655	1	n	n	PRON
m-386	656	1	h	h	NOUN
m-386	657	1	k	k	NOUN
m-386	658	1	i	i	PRON
m-386	658	2	j	j	NOUN
m-386	659	1	h	h	NOUN
m-386	660	1	k	k	PROPN
m-386	661	1	i	i	PRON
m-386	661	2	j	j	PROPN
m-386	661	3	s	s	PROPN
m-386	661	4	t	t	PROPN
m-386	661	5	m	m	VERB
m-386	661	6	n	n	PRON
m-386	661	7	m	m	NOUN
m-386	661	8	n	n	ADJ
m-386	662	1	h	h	NOUN
m-386	663	1	k	k	NOUN
m-386	664	1	i	i	PRON
m-386	664	2	j	j	PROPN
m-386	664	3	s	s	PROPN
m-386	665	1	t	t	PROPN
m-386	665	2	h	h	NOUN
m-386	666	1	k	k	PROPN
m-386	667	1	i	i	PRON
m-386	667	2	j	j	PROPN
m-386	667	3	s	s	PROPN
m-386	667	4	t	t	PROPN
m-386	667	5	s	s	PROPN
m-386	667	6	t	t	PROPN
m-386	667	7	r	r	NOUN
m-386	667	8	u	u	NOUN
m-386	667	9	p	p	NOUN
m-386	667	10	p	p	NOUN
m-386	667	11	r	r	NOUN
m-386	667	12	u	u	NOUN
m-386	667	13	p	p	NOUN
m-386	667	14	p	p	NOUN
m-386	667	15	r	r	NOUN
m-386	667	16			X
m-386	667	17			X
m-386	667	18			X
m-386	667	19			X
m-386	667	20			NOUN
m-386	667	21			PUNCT
m-386	668	1			PROPN
m-386	669	1			NUM
m-386	669	2			NOUN
m-386	669	3			ADV
m-386	669	4			NOUN
m-386	669	5			NUM
m-386	669	6			NOUN
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m-386	669	8			X
m-386	669	9			X
m-386	669	10			X
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m-386	669	12			X
m-386	669	13	(	(	PUNCT
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m-386	669	15	)	)	PUNCT
m-386	669	16	(	(	PUNCT
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m-386	669	18	)	)	PUNCT
m-386	669	19	,	,	PUNCT
m-386	669	20	(	(	PUNCT
m-386	669	21	1	1	X
m-386	669	22	)	)	PUNCT
m-386	669	23	,	,	PUNCT
m-386	669	24	(	(	PUNCT
m-386	669	25	2	2	NUM
m-386	669	26	)	)	PUNCT
m-386	669	27	,	,	PUNCT
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m-386	669	31	(	(	PUNCT
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m-386	670	1	(	(	PUNCT
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m-386	670	3	)	)	PUNCT
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m-386	670	6	(	(	PUNCT
m-386	670	7	,	,	PUNCT
m-386	670	8	)	)	PUNCT
m-386	670	9	(	(	PUNCT
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m-386	670	11	)	)	PUNCT
m-386	670	12	,	,	PUNCT
m-386	670	13	(	(	PUNCT
m-386	670	14	1	1	X
m-386	670	15	)	)	PUNCT
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m-386	670	20	,	,	PUNCT
m-386	670	21	(	(	PUNCT
m-386	670	22	,	,	PUNCT
m-386	670	23	)	)	PUNCT
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m-386	671	1	(	(	PUNCT
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m-386	671	3	)	)	PUNCT
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m-386	672	1	|	|	ADV
m-386	672	2	||	||	NOUN
m-386	673	1	|	|	ADV
m-386	673	2	[	[	PUNCT
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m-386	673	4	]	]	PUNCT
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m-386	674	1	|	|	ADV
m-386	674	2	||	||	NOUN
m-386	675	1	|	|	ADV
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m-386	679	1	k	k	PROPN
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m-386	680	5	m	m	VERB
m-386	680	6	n	n	ADJ
m-386	681	1	h	h	NOUN
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m-386	683	1	i	i	PRON
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m-386	685	1	k	k	PROPN
m-386	685	2	i	i	PRON
m-386	685	3	j	j	PROPN
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m-386	685	6	h	h	NOUN
m-386	686	1	k	k	NOUN
m-386	686	2	h	h	NOUN
m-386	687	1	k	k	PROPN
m-386	688	1	i	i	PRON
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m-386	688	3	m	m	VERB
m-386	688	4	n	n	VERB
m-386	688	5	m	m	VERB
m-386	688	6	n	n	ADJ
m-386	689	1	h	h	NOUN
m-386	690	1	k	k	NOUN
m-386	691	1	i	i	PRON
m-386	691	2	j	j	NOUN
m-386	692	1	h	h	NOUN
m-386	693	1	k	k	NOUN
m-386	694	1	i	i	PRON
m-386	694	2	j	j	VERB
m-386	695	1	i	i	PRON
m-386	695	2	j	j	PROPN
m-386	695	3	u	u	NOUN
m-386	695	4	p	p	NOUN
m-386	695	5	m	m	NOUN
m-386	695	6	p	p	NOUN
m-386	695	7	r	r	X
m-386	695	8	k	k	X
m-386	695	9	u	u	NOUN
m-386	695	10	p	p	NOUN
m-386	695	11	r	r	NOUN
m-386	695	12			X
m-386	695	13			X
m-386	695	14			X
m-386	696	1			NUM
m-386	696	2			NOUN
m-386	696	3			ADV
m-386	696	4			NOUN
m-386	696	5			NUM
m-386	696	6			X
m-386	696	7			X
m-386	696	8			X
m-386	696	9			X
m-386	696	10	(	(	PUNCT
m-386	696	11	,	,	PUNCT
m-386	696	12	)	)	PUNCT
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m-386	696	14	(	(	PUNCT
m-386	696	15	1	1	X
m-386	696	16	)	)	PUNCT
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m-386	696	18	,	,	PUNCT
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m-386	696	21	(	(	PUNCT
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m-386	696	23	)	)	PUNCT
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m-386	696	26	(	(	PUNCT
m-386	696	27	,	,	PUNCT
m-386	696	28	)	)	PUNCT
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m-386	696	36	(	(	PUNCT
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m-386	697	1	|	|	ADV
m-386	697	2	|	|	ADV
m-386	697	3	[	[	PUNCT
m-386	697	4	;	;	PUNCT
m-386	697	5	]	]	PUNCT
m-386	697	6	1	1	NUM
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m-386	698	1	|	|	ADV
m-386	698	2	|	|	ADV
m-386	698	3	[	[	PUNCT
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m-386	699	6	h	h	NOUN
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m-386	701	2	m	m	VERB
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m-386	702	2	h	h	NOUN
m-386	703	1	k	k	NOUN
m-386	703	2	m	m	VERB
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m-386	703	8	m	m	PROPN
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m-386	703	10	k	k	PROPN
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m-386	704	1	k	k	PROPN
m-386	704	2	h	h	PROPN
m-386	705	1	k	k	PROPN
m-386	705	2	k	k	PROPN
m-386	706	1	u	u	VERB
m-386	706	2	m	m	VERB
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m-386	706	4	r	r	X
m-386	706	5	k	k	X
m-386	706	6	u	u	NOUN
m-386	706	7	k	k	PROPN
m-386	706	8	m	m	VERB
m-386	706	9	u	u	NOUN
m-386	706	10	r	r	NOUN
m-386	706	11	r	r	NOUN
m-386	706	12			X
m-386	706	13			X
m-386	706	14			X
m-386	706	15			X
m-386	706	16			NOUN
m-386	706	17			ADV
m-386	706	18			NOUN
m-386	706	19			X
m-386	706	20			X
m-386	706	21	ijo	ijo	PROPN
m-386	706	22	international	international	PROPN
m-386	706	23	journal	journal	PROPN
m-386	706	24	of	of	ADP
m-386	706	25	mathematics	mathematics	PROPN
m-386	706	26	volume	volume	PROPN
m-386	706	27	3|	3|	NUM
m-386	706	28	issue	issue	NOUN
m-386	707	1	12|	12|	NUM
m-386	707	2	december	december	PROPN
m-386	707	3	|	|	NOUN
m-386	707	4	2020	2020	NUM
m-386	707	5	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	707	6	9	9	NUM
m-386	708	1	so	so	SCONJ
m-386	708	2	that	that	SCONJ
m-386	708	3	5	5	NUM
m-386	708	4	1	1	NUM
m-386	708	5	0r	0r	X
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m-386	708	8			PROPN
m-386	708	9			ADJ
m-386	708	10			PROPN
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m-386	709	5	r	r	NOUN
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m-386	709	7	we	we	PRON
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m-386	709	9			ADJ
m-386	709	10			NOUN
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m-386	710	2	(	(	PUNCT
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m-386	710	4	):	):	PUNCT
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m-386	710	8	set	set	NOUN
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m-386	710	13	complex	complex	ADJ
m-386	710	14	variables	variable	NOUN
m-386	710	15			PUNCT
m-386	710	16	(1	(1	PROPN
m-386	710	17	)	)	PUNCT
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m-386	710	19	(	(	PUNCT
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m-386	710	21	)	)	PUNCT
m-386	710	22	m	m	VERB
m-386	711	1	np	np	INTJ
m-386	711	2	z	z	NOUN
m-386	711	3	w	w	NOUN
m-386	711	4	is	be	AUX
m-386	711	5	effective	effective	ADJ
m-386	711	6	at	at	ADP
m-386	711	7	the	the	DET
m-386	711	8	origin	origin	NOUN
m-386	711	9	of	of	ADP
m-386	711	10	2c	2c	NUM
m-386	711	11	,	,	PUNCT
m-386	711	12	satisfies	satisfy	VERB
m-386	711	13	condition	condition	NOUN
m-386	711	14	(	(	PUNCT
m-386	711	15	2.5	2.5	NUM
m-386	711	16	)	)	PUNCT
m-386	711	17	and	and	CCONJ
m-386	711	18	(	(	PUNCT
m-386	711	19	2.6	2.6	NUM
m-386	711	20	)	)	PUNCT
m-386	711	21	.	.	PUNCT
m-386	712	1	then	then	ADV
m-386	712	2	the	the	DET
m-386	712	3	similar	similar	ADJ
m-386	712	4	transposed	transpose	VERB
m-386	712	5	set	set	NOUN
m-386	712	6			PROPN
m-386	712	7			PROPN
m-386	712	8	,	,	PUNCT
m-386	712	9	(	(	PUNCT
m-386	712	10	,	,	PUNCT
m-386	712	11	)	)	PUNCT
m-386	712	12	m	m	VERB
m-386	712	13	nu	nu	PROPN
m-386	712	14	z	z	PROPN
m-386	712	15	w	w	PROPN
m-386	712	16	is	be	AUX
m-386	712	17	effective	effective	ADJ
m-386	712	18	there	there	ADV
m-386	712	19	,	,	PUNCT
m-386	712	20	satisfies	satisfy	VERB
m-386	712	21	the	the	DET
m-386	712	22	conditions	condition	NOUN
m-386	712	23	(	(	PUNCT
m-386	712	24	2.20	2.20	NUM
m-386	712	25	)	)	PUNCT
m-386	712	26	and	and	CCONJ
m-386	712	27	(	(	PUNCT
m-386	712	28	2.25	2.25	NUM
m-386	712	29	)	)	PUNCT
m-386	712	30	,	,	PUNCT
m-386	712	31	if	if	SCONJ
m-386	712	32	and	and	CCONJ
m-386	712	33	only	only	ADV
m-386	712	34	if	if	SCONJ
m-386	712	35	,	,	PUNCT
m-386	712	36	the	the	DET
m-386	712	37	transposed	transpose	VERB
m-386	712	38	set	set	NOUN
m-386	712	39			PROPN
m-386	712	40	(2	(2	PROPN
m-386	712	41	)	)	PUNCT
m-386	712	42	,	,	PUNCT
m-386	712	43	(	(	PUNCT
m-386	712	44	,	,	PUNCT
m-386	712	45	)	)	PUNCT
m-386	712	46	m	m	VERB
m-386	712	47	np	np	INTJ
m-386	712	48	z	z	NOUN
m-386	712	49	w	w	NOUN
m-386	712	50	is	be	AUX
m-386	712	51	effective	effective	ADJ
m-386	712	52	at	at	ADP
m-386	712	53	the	the	DET
m-386	712	54	origin	origin	NOUN
m-386	712	55	of	of	ADP
m-386	712	56	2c	2c	NUM
m-386	712	57	and	and	CCONJ
m-386	712	58	satisfies	satisfy	VERB
m-386	712	59	the	the	DET
m-386	712	60	same	same	ADJ
m-386	712	61	conditions	condition	NOUN
m-386	712	62	.	.	PUNCT
m-386	713	1	proof	proof	NOUN
m-386	713	2	:	:	PUNCT
m-386	713	3	from	from	ADP
m-386	713	4	effectiveness	effectiveness	NOUN
m-386	713	5	of	of	ADP
m-386	713	6	general	general	ADJ
m-386	713	7	sets	set	NOUN
m-386	713	8			PROPN
m-386	713	9			PROPN
m-386	713	10	(	(	PUNCT
m-386	713	11	)	)	PUNCT
m-386	713	12	,	,	PUNCT
m-386	713	13	(	(	PUNCT
m-386	713	14	,	,	PUNCT
m-386	713	15	)	)	PUNCT
m-386	713	16	;	;	PUNCT
m-386	713	17	1,2i	1,2i	NUM
m-386	713	18	m	m	VERB
m-386	713	19	np	np	ADP
m-386	713	20	z	z	PROPN
m-386	713	21	w	w	PROPN
m-386	714	1	i	i	PRON
m-386	714	2			ADJ
m-386	714	3	at	at	ADP
m-386	714	4	the	the	DET
m-386	714	5	origin	origin	NOUN
m-386	714	6	,	,	PUNCT
m-386	714	7	we	we	PRON
m-386	714	8	get	get	VERB
m-386	714	9	(	(	PUNCT
m-386	714	10	2.28	2.28	NUM
m-386	714	11	)	)	PUNCT
m-386	714	12	(	(	PUNCT
m-386	714	13	1	1	NUM
m-386	714	14	)	)	PUNCT
m-386	714	15	,	,	PUNCT
m-386	714	16	3	3	NUM
m-386	714	17	4	4	NUM
m-386	714	18	1	1	NUM
m-386	714	19	1	1	NUM
m-386	714	20	[	[	PUNCT
m-386	714	21	]	]	X
m-386	714	22	(	(	PUNCT
m-386	714	23	)	)	PUNCT
m-386	714	24	;	;	PUNCT
m-386	714	25	,	,	PUNCT
m-386	714	26	0	0	NUM
m-386	714	27	m	m	VERB
m-386	714	28	n	n	NOUN
m-386	714	29	m	m	NOUN
m-386	714	30	n	n	ADJ
m-386	714	31	k	k	NOUN
m-386	715	1	m	m	VERB
m-386	716	1	n	n	ADV
m-386	716	2	r	r	NOUN
m-386	716	3	r	r	X
m-386	716	4			PROPN
m-386	716	5			X
m-386	716	6			NUM
m-386	716	7	.	.	PUNCT
m-386	717	1	(	(	PUNCT
m-386	717	2	2.29	2.29	NUM
m-386	717	3	)	)	PUNCT
m-386	717	4	(	(	PUNCT
m-386	717	5	2	2	NUM
m-386	717	6	)	)	PUNCT
m-386	717	7	,	,	PUNCT
m-386	717	8	4	4	NUM
m-386	717	9	5	5	NUM
m-386	717	10	1	1	NUM
m-386	717	11	1	1	NUM
m-386	717	12	[	[	PUNCT
m-386	717	13	]	]	X
m-386	717	14	(	(	PUNCT
m-386	717	15	)	)	PUNCT
m-386	717	16	;	;	PUNCT
m-386	717	17	,	,	PUNCT
m-386	717	18	0	0	NUM
m-386	717	19	m	m	VERB
m-386	717	20	n	n	NOUN
m-386	717	21	m	m	NOUN
m-386	717	22	n	n	ADJ
m-386	717	23	k	k	NOUN
m-386	717	24	m	m	VERB
m-386	717	25	n	n	ADV
m-386	717	26	r	r	NOUN
m-386	717	27	r	r	X
m-386	717	28			PROPN
m-386	717	29			X
m-386	717	30			NUM
m-386	717	31	.	.	PUNCT
m-386	718	1	if	if	SCONJ
m-386	718	2	the	the	DET
m-386	718	3	condition	condition	NOUN
m-386	718	4	(	(	PUNCT
m-386	718	5	2.20	2.20	NUM
m-386	718	6	)	)	PUNCT
m-386	718	7	of	of	ADP
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m-386	718	9	(	(	PUNCT
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m-386	718	11	)	)	PUNCT
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m-386	718	13	satisfied	satisfied	ADJ
m-386	718	14	then	then	ADV
m-386	718	15	we	we	PRON
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m-386	718	17	(	(	PUNCT
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m-386	718	19	)	)	PUNCT
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m-386	718	26	,	,	PUNCT
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m-386	718	28	)	)	PUNCT
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m-386	718	32	n	n	ADV
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m-386	718	37	r	r	NOUN
m-386	718	38	r	r	NOUN
m-386	718	39			PROPN
m-386	718	40			PROPN
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m-386	718	42			X
m-386	718	43			NOUN
m-386	718	44			NOUN
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m-386	718	46	.	.	PUNCT
m-386	719	1	by	by	ADP
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m-386	719	3	(	(	PUNCT
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m-386	719	5	)	)	PUNCT
m-386	719	6	;	;	PUNCT
m-386	719	7	we	we	PRON
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m-386	719	9	(	(	PUNCT
m-386	719	10	2.31	2.31	NUM
m-386	719	11	)	)	PUNCT
m-386	719	12	(	(	PUNCT
m-386	719	13	1	1	NUM
m-386	719	14	)	)	PUNCT
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m-386	719	17	3	3	NUM
m-386	719	18	2	2	NUM
m-386	719	19	1	1	NUM
m-386	719	20	1	1	NUM
m-386	719	21	,	,	PUNCT
m-386	719	22	(	(	PUNCT
m-386	719	23	)	)	PUNCT
m-386	719	24	;	;	PUNCT
m-386	719	25	,	,	PUNCT
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m-386	719	27	m	m	VERB
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m-386	719	29	m	m	VERB
m-386	719	30	n	n	ADV
m-386	719	31	m	m	VERB
m-386	719	32	nm	nm	ADJ
m-386	719	33	p	p	X
m-386	720	1	k	k	PROPN
m-386	720	2	m	m	VERB
m-386	720	3	n	n	ADV
m-386	720	4	r	r	NOUN
m-386	720	5	r	r	NOUN
m-386	720	6			PROPN
m-386	720	7			PROPN
m-386	720	8			NOUN
m-386	720	9			PROPN
m-386	720	10			PROPN
m-386	720	11			PROPN
m-386	720	12			PROPN
m-386	720	13	(	(	PUNCT
m-386	720	14	2.32	2.32	NUM
m-386	720	15	)	)	PUNCT
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m-386	720	18	)	)	PUNCT
m-386	720	19	,	,	PUNCT
m-386	720	20	,	,	PUNCT
m-386	720	21	4	4	NUM
m-386	720	22	3	3	NUM
m-386	720	23	1	1	NUM
m-386	720	24	1	1	NUM
m-386	720	25	,	,	PUNCT
m-386	720	26	(	(	PUNCT
m-386	720	27	)	)	PUNCT
m-386	720	28	;	;	PUNCT
m-386	720	29	,	,	PUNCT
m-386	720	30	0	0	NUM
m-386	720	31	m	m	VERB
m-386	720	32	n	n	NOUN
m-386	720	33	m	m	VERB
m-386	720	34	n	n	ADV
m-386	720	35	m	m	VERB
m-386	720	36	nm	nm	ADJ
m-386	720	37	p	p	X
m-386	720	38	k	k	PROPN
m-386	720	39	m	m	VERB
m-386	720	40	n	n	ADV
m-386	720	41	r	r	NOUN
m-386	720	42	r	r	NOUN
m-386	720	43			PROPN
m-386	720	44			PROPN
m-386	720	45			NOUN
m-386	720	46			PROPN
m-386	720	47			PROPN
m-386	720	48			VERB
m-386	720	49			PROPN
m-386	720	50	.	.	PUNCT
m-386	721	1	by	by	ADP
m-386	721	2	(	(	PUNCT
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m-386	721	4	)	)	PUNCT
m-386	721	5	(	(	PUNCT
m-386	721	6	2.32	2.32	NUM
m-386	721	7	)	)	PUNCT
m-386	721	8	and	and	CCONJ
m-386	721	9	cauchy	cauchy	PROPN
m-386	721	10	's	's	PART
m-386	721	11	inequality	inequality	NOUN
m-386	721	12	it	it	PRON
m-386	721	13	follows	follow	VERB
m-386	721	14	that	that	PRON
m-386	721	15	:	:	PUNCT
m-386	721	16	(	(	PUNCT
m-386	721	17	,	,	PUNCT
m-386	721	18	)	)	PUNCT
m-386	721	19	,	,	PUNCT
m-386	721	20	,	,	PUNCT
m-386	721	21	,	,	PUNCT
m-386	721	22	,	,	PUNCT
m-386	721	23	,	,	PUNCT
m-386	721	24	(	(	PUNCT
m-386	721	25	,	,	PUNCT
m-386	721	26	)	)	PUNCT
m-386	721	27	02	02	NUM
m-386	721	28	2	2	NUM
m-386	721	29	(	(	PUNCT
m-386	721	30	,	,	PUNCT
m-386	721	31	)	)	PUNCT
m-386	721	32	(	(	PUNCT
m-386	721	33	,	,	PUNCT
m-386	721	34	)	)	PUNCT
m-386	721	35	(	(	PUNCT
m-386	721	36	,	,	PUNCT
m-386	721	37	)	)	PUNCT
m-386	721	38	(	(	PUNCT
m-386	721	39	1	1	NUM
m-386	721	40	)	)	PUNCT
m-386	721	41	,	,	PUNCT
m-386	721	42	(	(	PUNCT
m-386	721	43	2	2	NUM
m-386	721	44	)	)	PUNCT
m-386	721	45	,	,	PUNCT
m-386	721	46	(	(	PUNCT
m-386	721	47	1	1	NUM
m-386	721	48	)	)	PUNCT
m-386	721	49	,	,	PUNCT
m-386	721	50	,	,	PUNCT
m-386	721	51	,	,	PUNCT
m-386	721	52	,	,	PUNCT
m-386	721	53	,	,	PUNCT
m-386	721	54	,	,	PUNCT
m-386	721	55	(	(	PUNCT
m-386	721	56	,	,	PUNCT
m-386	721	57	)	)	PUNCT
m-386	721	58	0	0	NUM
m-386	722	1	(	(	PUNCT
m-386	722	2	,	,	PUNCT
m-386	722	3	)	)	PUNCT
m-386	722	4	0	0	NUM
m-386	723	1	(	(	PUNCT
m-386	723	2	,	,	PUNCT
m-386	723	3	)	)	PUNCT
m-386	723	4	0	0	NUM
m-386	723	5	2	2	NUM
m-386	723	6	1	1	NUM
m-386	723	7	1	1	NUM
m-386	723	8	[	[	PUNCT
m-386	723	9	]	]	X
m-386	723	10	[	[	PUNCT
m-386	723	11	;	;	PUNCT
m-386	723	12	]	]	PUNCT
m-386	723	13	1	1	NUM
m-386	723	14	|	|	ADV
m-386	723	15	||	||	INTJ
m-386	724	1	||	||	PUNCT
m-386	725	1	|	|	ADV
m-386	725	2	[	[	PUNCT
m-386	725	3	;	;	PUNCT
m-386	725	4	]	]	PUNCT
m-386	725	5	m	m	VERB
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m-386	725	7	h	h	NOUN
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m-386	726	2	m	m	VERB
m-386	726	3	n	n	VERB
m-386	726	4	m	m	VERB
m-386	726	5	n	n	ADV
m-386	726	6	m	m	NOUN
m-386	726	7	n	n	ADJ
m-386	726	8	h	h	NOUN
m-386	727	1	k	k	NOUN
m-386	727	2	h	h	NOUN
m-386	728	1	k	k	NOUN
m-386	728	2	m	m	VERB
m-386	729	1	n	n	ADV
m-386	729	2	h	h	NOUN
m-386	730	1	k	k	NOUN
m-386	731	1	i	i	PRON
m-386	731	2	j	j	NOUN
m-386	732	1	h	h	NOUN
m-386	733	1	k	k	PROPN
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m-386	734	2	j	j	PROPN
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m-386	734	5	m	m	VERB
m-386	734	6	n	n	PRON
m-386	734	7	m	m	NOUN
m-386	734	8	n	n	ADJ
m-386	735	1	h	h	NOUN
m-386	736	1	k	k	NOUN
m-386	737	1	i	i	PRON
m-386	737	2	j	j	PROPN
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m-386	738	1	t	t	PROPN
m-386	738	2	h	h	NOUN
m-386	739	1	k	k	PROPN
m-386	740	1	i	i	PRON
m-386	741	1	j	j	PROPN
m-386	741	2	s	s	PROPN
m-386	741	3	t	t	X
m-386	741	4	u	u	NOUN
m-386	741	5	m	m	NOUN
m-386	741	6	u	u	NOUN
m-386	741	7	r	r	NOUN
m-386	741	8	r	r	NOUN
m-386	742	1	p	p	NOUN
m-386	742	2	p	p	X
m-386	742	3	p	p	NOUN
m-386	742	4	m	m	PROPN
m-386	742	5	u	u	NOUN
m-386	742	6	r	r	NOUN
m-386	742	7			X
m-386	742	8			X
m-386	742	9			NOUN
m-386	743	1			NUM
m-386	744	1			NOUN
m-386	745	1			ADJ
m-386	746	1			NUM
m-386	746	2			NUM
m-386	746	3			NOUN
m-386	746	4			X
m-386	746	5			X
m-386	746	6			X
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m-386	746	8	(	(	PUNCT
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m-386	746	10	)	)	PUNCT
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m-386	746	13	)	)	PUNCT
m-386	746	14	(	(	PUNCT
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m-386	746	16	)	)	PUNCT
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m-386	746	18	1	1	NUM
m-386	746	19	)	)	PUNCT
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m-386	746	23	)	)	PUNCT
m-386	746	24	,	,	PUNCT
m-386	746	25	(	(	PUNCT
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m-386	746	29	1	1	NUM
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m-386	746	36	)	)	PUNCT
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m-386	747	1	(	(	PUNCT
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m-386	747	3	)	)	PUNCT
m-386	747	4	0	0	NUM
m-386	748	1	(	(	PUNCT
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m-386	748	3	)	)	PUNCT
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m-386	748	5	,	,	PUNCT
m-386	748	6	3	3	NUM
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m-386	748	9	)	)	PUNCT
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m-386	748	12	(	(	PUNCT
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m-386	748	14	)	)	PUNCT
m-386	748	15	(	(	PUNCT
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m-386	748	17	)	)	PUNCT
m-386	749	1	(	(	PUNCT
m-386	749	2	,	,	PUNCT
m-386	749	3	)	)	PUNCT
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m-386	749	5	1	1	NUM
m-386	749	6	)	)	PUNCT
m-386	749	7	,	,	PUNCT
m-386	749	8	(	(	PUNCT
m-386	749	9	2	2	NUM
m-386	749	10	)	)	PUNCT
m-386	749	11	,	,	PUNCT
m-386	749	12	(	(	PUNCT
m-386	749	13	1	1	X
m-386	749	14	)	)	PUNCT
m-386	749	15	,	,	PUNCT
m-386	749	16	3	3	NUM
m-386	749	17	1	1	NUM
m-386	749	18	,	,	PUNCT
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m-386	749	21	,	,	PUNCT
m-386	749	22	(	(	PUNCT
m-386	749	23	,	,	PUNCT
m-386	749	24	)	)	PUNCT
m-386	749	25	0	0	NUM
m-386	750	1	(	(	PUNCT
m-386	750	2	,	,	PUNCT
m-386	750	3	)	)	PUNCT
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m-386	751	1	(	(	PUNCT
m-386	751	2	,	,	PUNCT
m-386	751	3	)	)	PUNCT
m-386	751	4	0	0	NUM
m-386	751	5	1	1	NUM
m-386	752	1	|	|	ADV
m-386	752	2	||	||	INTJ
m-386	752	3	||	||	PUNCT
m-386	753	1	|	|	ADV
m-386	753	2	1	1	NUM
m-386	753	3	[	[	PUNCT
m-386	753	4	;	;	PUNCT
m-386	753	5	]	]	PUNCT
m-386	753	6	|	|	ADV
m-386	753	7	||	||	INTJ
m-386	753	8	||	||	PUNCT
m-386	754	1	|	|	ADV
m-386	754	2	m	m	VERB
m-386	754	3	n	n	ADJ
m-386	755	1	h	h	NOUN
m-386	756	1	k	k	NOUN
m-386	757	1	i	i	PRON
m-386	757	2	j	j	NOUN
m-386	758	1	h	h	NOUN
m-386	759	1	k	k	PROPN
m-386	760	1	i	i	PRON
m-386	760	2	j	j	PROPN
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m-386	760	5	m	m	VERB
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m-386	760	8	n	n	ADJ
m-386	761	1	h	h	NOUN
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m-386	763	1	i	i	PRON
m-386	763	2	j	j	PROPN
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m-386	764	1	t	t	PROPN
m-386	764	2	h	h	NOUN
m-386	765	1	k	k	PROPN
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m-386	767	10	n	n	ADP
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m-386	768	1	k	k	NOUN
m-386	769	1	i	i	PRON
m-386	769	2	j	j	NOUN
m-386	770	1	h	h	NOUN
m-386	771	1	k	k	PROPN
m-386	772	1	i	i	PRON
m-386	772	2	j	j	PROPN
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m-386	772	5	m	m	VERB
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m-386	772	8	n	n	ADJ
m-386	773	1	h	h	NOUN
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m-386	775	1	i	i	PRON
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m-386	780	5	r	r	NOUN
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m-386	780	7	p	p	NOUN
m-386	780	8	r	r	NOUN
m-386	781	1	k	k	NOUN
m-386	781	2	p	p	X
m-386	781	3	p	p	X
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m-386	781	5			PROPN
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m-386	781	8			X
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m-386	782	2			ADJ
m-386	782	3			PRON
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m-386	784	1			NOUN
m-386	784	2			X
m-386	784	3			X
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m-386	784	5			X
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m-386	784	10	)	)	PUNCT
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m-386	784	13	,	,	PUNCT
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m-386	784	18	[	[	PUNCT
m-386	784	19	;	;	PUNCT
m-386	784	20	]	]	X
m-386	784	21	s	s	VERB
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m-386	787	17	)	)	PUNCT
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m-386	788	5	1	1	NUM
m-386	788	6	)	)	PUNCT
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m-386	788	8	(	(	PUNCT
m-386	788	9	2	2	X
m-386	788	10	)	)	PUNCT
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m-386	788	17	(	(	PUNCT
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m-386	788	19	)	)	PUNCT
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m-386	789	1	(	(	PUNCT
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m-386	789	3	)	)	PUNCT
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m-386	790	2	,	,	PUNCT
m-386	790	3	)	)	PUNCT
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m-386	790	8	[	[	PUNCT
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m-386	790	10	|	|	ADV
m-386	790	11	||	||	NOUN
m-386	791	1	|	|	ADV
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m-386	791	3	[	[	PUNCT
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m-386	791	5	]	]	PUNCT
m-386	792	1	|	|	ADV
m-386	792	2	||	||	ADV
m-386	793	1	|	|	ADV
m-386	793	2	[	[	PUNCT
m-386	793	3	i	i	PRON
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m-386	794	2	h	h	NOUN
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m-386	796	1	i	i	PRON
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m-386	798	1	k	k	PROPN
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m-386	802	3	t	t	PROPN
m-386	802	4	s	s	X
m-386	802	5	t	t	NOUN
m-386	803	1	i	i	PRON
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m-386	805	2	h	h	NOUN
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m-386	807	1	i	i	PRON
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m-386	817	4	r	r	NOUN
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m-386	818	2	p	p	X
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m-386	818	5	p	p	X
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m-386	818	9			X
m-386	818	10			X
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m-386	818	13			PUNCT
m-386	819	1			PROPN
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m-386	822	1			NOUN
m-386	822	2			X
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m-386	822	5			X
m-386	822	6			X
m-386	822	7			X
m-386	822	8	2	2	NUM
m-386	822	9	(	(	PUNCT
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m-386	822	11	)	)	PUNCT
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m-386	822	21	t	t	X
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m-386	823	10	r	r	NOUN
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m-386	823	14			PUNCT
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m-386	825	10	)	)	PUNCT
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m-386	825	13	)	)	PUNCT
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m-386	826	3	)	)	PUNCT
m-386	826	4	(	(	PUNCT
m-386	826	5	1	1	X
m-386	826	6	)	)	PUNCT
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m-386	826	13	(	(	PUNCT
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m-386	829	1	[	[	PUNCT
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m-386	829	3	|	|	CCONJ
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m-386	845	2	m	m	VERB
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m-386	847	1	k	k	PROPN
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m-386	852	1	r	r	NOUN
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m-386	852	7	r	r	NOUN
m-386	852	8	r	r	NOUN
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m-386	852	10			X
m-386	852	11			X
m-386	852	12			X
m-386	852	13			X
m-386	852	14			PROPN
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m-386	852	20			ADJ
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m-386	853	1			PROPN
m-386	853	2			ADJ
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m-386	853	4			PROPN
m-386	853	5			NOUN
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m-386	853	9			PROPN
m-386	854	1			NOUN
m-386	854	2			PROPN
m-386	855	1			ADJ
m-386	855	2			PROPN
m-386	855	3			PROPN
m-386	855	4			NOUN
m-386	855	5			X
m-386	855	6			X
m-386	855	7			X
m-386	855	8			X
m-386	855	9			X
m-386	855	10			X
m-386	855	11	(	(	PUNCT
m-386	855	12	1	1	X
m-386	855	13	)	)	PUNCT
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m-386	855	17	5	5	NUM
m-386	855	18	1	1	NUM
m-386	855	19	[	[	PUNCT
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m-386	855	22	m	m	VERB
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m-386	857	1	[	[	X
m-386	857	2	0	0	X
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m-386	857	5			ADV
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m-386	858	3	say	say	VERB
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m-386	858	5	similar	similar	ADJ
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m-386	858	7	set	set	NOUN
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m-386	858	19	at	at	ADP
m-386	858	20	the	the	DET
m-386	858	21	origin	origin	NOUN
m-386	858	22	,	,	PUNCT
m-386	858	23	and	and	CCONJ
m-386	858	24	satisfies	satisfy	VERB
m-386	858	25	conditions	condition	NOUN
m-386	858	26	(	(	PUNCT
m-386	858	27	2.20	2.20	NUM
m-386	858	28	)	)	PUNCT
m-386	858	29	and	and	CCONJ
m-386	858	30	(	(	PUNCT
m-386	858	31	2.25	2.25	NUM
m-386	858	32	)	)	PUNCT
m-386	858	33	,	,	PUNCT
m-386	858	34	by	by	ADP
m-386	858	35	using	use	VERB
m-386	858	36	lemmas	lemmas	PROPN
m-386	858	37	(	(	PUNCT
m-386	858	38	2	2	NUM
m-386	858	39	)	)	PUNCT
m-386	858	40	and	and	CCONJ
m-386	858	41	(	(	PUNCT
m-386	858	42	3	3	X
m-386	858	43	)	)	PUNCT
m-386	858	44	respectively	respectively	ADV
m-386	858	45	and	and	CCONJ
m-386	858	46	the	the	DET
m-386	858	47	"	"	PUNCT
m-386	858	48	if	if	SCONJ
m-386	858	49	"	"	PUNCT
m-386	858	50	statement	statement	NOUN
m-386	858	51	follows	follow	VERB
m-386	858	52	.	.	PUNCT
m-386	859	1	now	now	ADV
m-386	859	2	,	,	PUNCT
m-386	859	3	to	to	PART
m-386	859	4	prove	prove	VERB
m-386	859	5	the	the	DET
m-386	859	6	only	only	ADJ
m-386	859	7	if	if	SCONJ
m-386	859	8	,	,	PUNCT
m-386	859	9	write	write	VERB
m-386	859	10			PROPN
m-386	859	11			PROPN
m-386	859	12			PROPN
m-386	859	13			ADV
m-386	859	14			ADV
m-386	859	15	(2	(2	ADJ
m-386	859	16	)	)	PUNCT
m-386	859	17	(	(	PUNCT
m-386	859	18	1	1	NUM
m-386	859	19	)	)	PUNCT
m-386	859	20	(	(	PUNCT
m-386	859	21	1	1	NUM
m-386	859	22	)	)	PUNCT
m-386	859	23	,	,	PUNCT
m-386	859	24	,	,	PUNCT
m-386	859	25	,	,	PUNCT
m-386	859	26	,	,	PUNCT
m-386	859	27	(	(	PUNCT
m-386	859	28	,	,	PUNCT
m-386	859	29	)	)	PUNCT
m-386	859	30	(	(	PUNCT
m-386	859	31	,	,	PUNCT
m-386	859	32	)	)	PUNCT
m-386	859	33	(	(	PUNCT
m-386	859	34	,	,	PUNCT
m-386	859	35	)	)	PUNCT
m-386	859	36	(	(	PUNCT
m-386	859	37	,	,	PUNCT
m-386	859	38	)	)	PUNCT
m-386	859	39	m	m	VERB
m-386	859	40	n	n	VERB
m-386	859	41	m	m	VERB
m-386	859	42	n	n	PRON
m-386	859	43	m	m	NOUN
m-386	859	44	n	n	ADV
m-386	859	45	m	m	VERB
m-386	859	46	np	np	INTJ
m-386	859	47	z	z	NOUN
m-386	859	48	w	w	PROPN
m-386	859	49	p	p	PROPN
m-386	859	50	z	z	PROPN
m-386	859	51	w	w	PROPN
m-386	859	52	u	u	PROPN
m-386	859	53	z	z	PROPN
m-386	859	54	w	w	PROPN
m-386	859	55	p	p	PROPN
m-386	859	56	z	z	NOUN
m-386	859	57	w	w	VERB
m-386	859	58	let	let	VERB
m-386	859	59	the	the	DET
m-386	859	60	set	set	NOUN
m-386	859	61			PROPN
m-386	859	62			PROPN
m-386	859	63	,	,	PUNCT
m-386	859	64	(	(	PUNCT
m-386	859	65	,	,	PUNCT
m-386	859	66	)	)	PUNCT
m-386	859	67	m	m	VERB
m-386	859	68	nu	nu	PROPN
m-386	859	69	z	z	PROPN
m-386	859	70	w	w	PROPN
m-386	859	71	is	be	AUX
m-386	859	72	effective	effective	ADJ
m-386	859	73	there	there	ADV
m-386	859	74	satisfies	satisfy	VERB
m-386	859	75	conditions	condition	NOUN
m-386	859	76	(	(	PUNCT
m-386	859	77	2.20	2.20	NUM
m-386	859	78	)	)	PUNCT
m-386	859	79	and	and	CCONJ
m-386	859	80	(	(	PUNCT
m-386	859	81	2.25	2.25	NUM
m-386	859	82	)	)	PUNCT
m-386	859	83	,	,	PUNCT
m-386	859	84	the	the	DET
m-386	859	85	inverse	inverse	NOUN
m-386	859	86	transposed	transpose	VERB
m-386	859	87	set	set	VERB
m-386	859	88			PROPN
m-386	859	89	(1	(1	PROPN
m-386	859	90	)	)	PUNCT
m-386	859	91	,	,	PUNCT
m-386	859	92	(	(	PUNCT
m-386	859	93	,	,	PUNCT
m-386	859	94	)	)	PUNCT
m-386	859	95	m	m	VERB
m-386	859	96	np	np	INTJ
m-386	859	97	z	z	NOUN
m-386	859	98	w	w	NOUN
m-386	859	99	is	be	AUX
m-386	859	100	effective	effective	ADJ
m-386	859	101	at	at	ADP
m-386	859	102	the	the	DET
m-386	859	103	origin	origin	NOUN
m-386	859	104	and	and	CCONJ
m-386	859	105	satisfies	satisfy	VERB
m-386	859	106	the	the	DET
m-386	859	107	same	same	ADJ
m-386	859	108	conditions	condition	NOUN
m-386	859	109	.	.	PUNCT
m-386	860	1	then	then	ADV
m-386	860	2	the	the	DET
m-386	860	3	similar	similar	ADJ
m-386	860	4	transposed	transpose	VERB
m-386	860	5	set	set	NOUN
m-386	860	6			PROPN
m-386	860	7	(2	(2	PROPN
m-386	860	8	)	)	PUNCT
m-386	860	9	,	,	PUNCT
m-386	860	10	(	(	PUNCT
m-386	860	11	,	,	PUNCT
m-386	860	12	)	)	PUNCT
m-386	860	13	m	m	VERB
m-386	860	14	np	np	INTJ
m-386	860	15	z	z	NOUN
m-386	860	16	w	w	NOUN
m-386	860	17	is	be	AUX
m-386	860	18	effective	effective	ADJ
m-386	860	19	at	at	ADP
m-386	860	20	the	the	DET
m-386	860	21	origin	origin	NOUN
m-386	860	22	,	,	PUNCT
m-386	860	23	and	and	CCONJ
m-386	860	24	satisfies	satisfy	VERB
m-386	860	25	conditions	condition	NOUN
m-386	860	26	(	(	PUNCT
m-386	860	27	2.20	2.20	NUM
m-386	860	28	)	)	PUNCT
m-386	860	29	and	and	CCONJ
m-386	860	30	(	(	PUNCT
m-386	860	31	2.25	2.25	NUM
m-386	860	32	)	)	PUNCT
m-386	860	33	.	.	PUNCT
m-386	861	1	3effectiveness	3effectiveness	NUM
m-386	861	2	of	of	ADP
m-386	861	3	similar	similar	ADJ
m-386	861	4	transposed	transpose	VERB
m-386	861	5	set	set	NOUN
m-386	861	6	of	of	ADP
m-386	861	7	polynomials	polynomial	NOUN
m-386	861	8	in	in	ADP
m-386	861	9	open	open	ADJ
m-386	861	10	hyperspheres	hypersphere	NOUN
m-386	861	11	now	now	ADV
m-386	861	12	we	we	PRON
m-386	861	13	are	be	AUX
m-386	861	14	investigating	investigate	VERB
m-386	861	15	the	the	DET
m-386	861	16	effectiveness	effectiveness	NOUN
m-386	861	17	of	of	ADP
m-386	861	18	similar	similar	ADJ
m-386	861	19	transposed	transpose	VERB
m-386	861	20	set	set	NOUN
m-386	861	21			PROPN
m-386	861	22			PROPN
m-386	861	23	,	,	PUNCT
m-386	861	24	(	(	PUNCT
m-386	861	25	,	,	PUNCT
m-386	861	26	)	)	PUNCT
m-386	861	27	m	m	VERB
m-386	861	28	nu	nu	PROPN
m-386	861	29	z	z	PROPN
m-386	861	30	w	w	PROPN
m-386	861	31	of	of	ADP
m-386	861	32	polynomials	polynomial	NOUN
m-386	861	33	of	of	ADP
m-386	861	34	two	two	NUM
m-386	861	35	complex	complex	ADJ
m-386	861	36	variables	variable	NOUN
m-386	861	37	in	in	ADP
m-386	861	38	open	open	ADJ
m-386	861	39	hyperspheres	hypersphere	NOUN
m-386	861	40	whenever	whenever	SCONJ
m-386	861	41	the	the	DET
m-386	861	42	constituent	constituent	NOUN
m-386	861	43	sets	set	NOUN
m-386	861	44	are	be	AUX
m-386	861	45	effective	effective	ADJ
m-386	861	46	there	there	ADV
m-386	861	47	.	.	PUNCT
m-386	862	1	we	we	PRON
m-386	862	2	can	can	AUX
m-386	862	3	only	only	ADV
m-386	862	4	be	be	AUX
m-386	862	5	algebraic	algebraic	ADJ
m-386	862	6	and	and	CCONJ
m-386	862	7	compliance	compliance	NOUN
m-386	862	8	with	with	ADP
m-386	862	9	the	the	DET
m-386	862	10	relevant	relevant	ADJ
m-386	862	11	requirements	requirement	NOUN
m-386	862	12	(	(	PUNCT
m-386	862	13	3.1	3.1	NUM
m-386	862	14	)	)	SYM
m-386	862	15	1	1	NUM
m-386	862	16	(	(	PUNCT
m-386	862	17	)	)	PUNCT
m-386	862	18	(	(	PUNCT
m-386	862	19	)	)	PUNCT
m-386	862	20	,	,	PUNCT
m-386	862	21	,	,	PUNCT
m-386	862	22	1	1	NUM
m-386	862	23	1	1	NUM
m-386	862	24	1	1	NUM
m-386	862	25	sup	sup	NOUN
m-386	862	26	[	[	PUNCT
m-386	862	27	;	;	PUNCT
m-386	862	28	]	]	PUNCT
m-386	862	29	;	;	PUNCT
m-386	862	30	,	,	PUNCT
m-386	862	31	1,2	1,2	NUM
m-386	862	32	m	m	NOUN
m-386	862	33	n	n	PRON
m-386	863	1	i	i	PRON
m-386	864	1	i	i	PRON
m-386	864	2	m	m	VERB
m-386	864	3	n	n	VERB
m-386	864	4	m	m	VERB
m-386	864	5	n	n	PRON
m-386	864	6	m	m	VERB
m-386	864	7	n	n	PRON
m-386	864	8	lim	lim	NOUN
m-386	864	9	m	m	PROPN
m-386	864	10	p	p	NOUN
m-386	864	11	for	for	ADP
m-386	864	12	all	all	DET
m-386	864	13	r	r	NOUN
m-386	864	14	r	r	NOUN
m-386	865	1	i	i	NOUN
m-386	865	2	r	r	NOUN
m-386	865	3	r	r	NOUN
m-386	865	4	r	r	NOUN
m-386	865	5			NOUN
m-386	865	6			PROPN
m-386	865	7			X
m-386	865	8			PUNCT
m-386	865	9			PROPN
m-386	866	1			PROPN
m-386	866	2			NOUN
m-386	866	3			ADP
m-386	867	1			PROPN
m-386	867	2			PROPN
m-386	867	3			PROPN
m-386	867	4			VERB
m-386	867	5			NOUN
m-386	867	6			NOUN
m-386	867	7			PROPN
m-386	867	8			PROPN
m-386	867	9			PROPN
m-386	867	10	.	.	PUNCT
m-386	868	1	for	for	ADP
m-386	868	2	this	this	DET
m-386	868	3	purpose	purpose	NOUN
m-386	868	4	,	,	PUNCT
m-386	868	5	we	we	PRON
m-386	868	6	give	give	VERB
m-386	868	7	the	the	DET
m-386	868	8	following	follow	VERB
m-386	868	9	lemma	lemma	PROPN
m-386	868	10	:	:	PUNCT
m-386	868	11	lemma	lemma	PROPN
m-386	868	12	(	(	PUNCT
m-386	868	13	3.1	3.1	NUM
m-386	868	14	)	)	PUNCT
m-386	868	15	the	the	DET
m-386	868	16	transposed	transpose	VERB
m-386	868	17	set	set	NOUN
m-386	868	18	and	and	CCONJ
m-386	868	19	the	the	DET
m-386	868	20	power	power	NOUN
m-386	868	21	transposed	transpose	VERB
m-386	868	22	set	set	VERB
m-386	868	23	accord	accord	NOUN
m-386	868	24	to	to	ADP
m-386	868	25	the	the	DET
m-386	868	26	same	same	ADJ
m-386	868	27	condition	condition	NOUN
m-386	868	28	(	(	PUNCT
m-386	868	29	3.1	3.1	NUM
m-386	868	30	)	)	PUNCT
m-386	868	31	.	.	PUNCT
m-386	869	1	proof	proof	NOUN
m-386	869	2	:	:	PUNCT
m-386	869	3	first	first	ADV
m-386	869	4	suppose	suppose	VERB
m-386	869	5	that	that	SCONJ
m-386	869	6	the	the	DET
m-386	869	7	set	set	NOUN
m-386	869	8			PROPN
m-386	869	9			PROPN
m-386	869	10	,	,	PUNCT
m-386	869	11	(	(	PUNCT
m-386	869	12	,	,	PUNCT
m-386	869	13	)	)	PUNCT
m-386	869	14	m	m	VERB
m-386	869	15	np	np	INTJ
m-386	869	16	z	z	NOUN
m-386	869	17	w	w	NOUN
m-386	869	18	satisfies	satisfie	NOUN
m-386	869	19	condition	condition	PROPN
m-386	869	20	ijo	ijo	PROPN
m-386	869	21	international	international	PROPN
m-386	869	22	journal	journal	PROPN
m-386	869	23	of	of	ADP
m-386	869	24	mathematics	mathematics	PROPN
m-386	869	25	volume	volume	PROPN
m-386	869	26	3|	3|	NUM
m-386	869	27	issue	issue	NOUN
m-386	869	28	12|	12|	NUM
m-386	869	29	december	december	PROPN
m-386	869	30	|	|	NOUN
m-386	869	31	2020	2020	NUM
m-386	869	32	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	869	33	11	11	NUM
m-386	869	34	(	(	PUNCT
m-386	869	35	3.2	3.2	NUM
m-386	869	36	)	)	PUNCT
m-386	869	37	1	1	NUM
m-386	869	38	,	,	PUNCT
m-386	869	39	,	,	PUNCT
m-386	869	40	1	1	NUM
m-386	869	41	1	1	NUM
m-386	869	42	1	1	NUM
m-386	869	43	sup	sup	NOUN
m-386	869	44	[	[	PUNCT
m-386	869	45	;	;	PUNCT
m-386	869	46	]	]	PUNCT
m-386	869	47	;	;	PUNCT
m-386	869	48	m	m	VERB
m-386	869	49	n	n	PRON
m-386	869	50	m	m	VERB
m-386	869	51	n	n	ADV
m-386	869	52	m	m	PROPN
m-386	869	53	n	n	PRON
m-386	869	54	m	m	VERB
m-386	869	55	n	n	PRON
m-386	869	56	lim	lim	NOUN
m-386	869	57	m	m	PROPN
m-386	869	58	p	p	NOUN
m-386	869	59	for	for	ADP
m-386	869	60	all	all	DET
m-386	869	61	r	r	NOUN
m-386	869	62	r	r	NOUN
m-386	869	63	r	r	NOUN
m-386	869	64	r	r	NOUN
m-386	869	65	r	r	NOUN
m-386	869	66			NOUN
m-386	869	67			PROPN
m-386	869	68			X
m-386	869	69			PUNCT
m-386	869	70			PROPN
m-386	869	71			PROPN
m-386	869	72			NOUN
m-386	869	73			ADP
m-386	870	1			ADP
m-386	870	2			NUM
m-386	871	1			NOUN
m-386	871	2			VERB
m-386	871	3			NOUN
m-386	871	4			NOUN
m-386	871	5			PROPN
m-386	871	6			PROPN
m-386	871	7			PROPN
m-386	871	8	.	.	PUNCT
m-386	872	1	then	then	ADV
m-386	872	2	(	(	PUNCT
m-386	872	3	3.3	3.3	NUM
m-386	872	4	)	)	PUNCT
m-386	872	5	,	,	PUNCT
m-386	872	6	,	,	PUNCT
m-386	872	7	1	1	NUM
m-386	872	8	1	1	NUM
m-386	872	9	1	1	NUM
m-386	872	10	[	[	PUNCT
m-386	872	11	;	;	PUNCT
m-386	872	12	]	]	PUNCT
m-386	872	13	(	(	PUNCT
m-386	872	14	)	)	PUNCT
m-386	872	15	;	;	PUNCT
m-386	872	16	(	(	PUNCT
m-386	872	17	,	,	PUNCT
m-386	872	18	)	)	PUNCT
m-386	872	19	0	0	NUM
m-386	872	20	m	m	VERB
m-386	872	21	n	n	VERB
m-386	872	22	m	m	VERB
m-386	872	23	n	n	ADV
m-386	872	24	m	m	VERB
m-386	872	25	nm	nm	ADJ
m-386	872	26	p	p	X
m-386	873	1	k	k	PROPN
m-386	873	2	m	m	VERB
m-386	873	3	n	n	ADV
m-386	873	4	r	r	NOUN
m-386	873	5	r	r	NOUN
m-386	873	6			PROPN
m-386	873	7			X
m-386	873	8			NUM
m-386	873	9	.	.	PUNCT
m-386	874	1	the	the	DET
m-386	874	2	transposed	transpose	VERB
m-386	874	3	product	product	NOUN
m-386	874	4	set	set	NOUN
m-386	874	5	of	of	ADP
m-386	874	6	the	the	DET
m-386	874	7	two	two	NUM
m-386	874	8	sets	set	NOUN
m-386	874	9			PRON
m-386	874	10			PROPN
m-386	874	11	(	(	PUNCT
m-386	874	12	)	)	PUNCT
m-386	874	13	,	,	PUNCT
m-386	874	14	(	(	PUNCT
m-386	874	15	,	,	PUNCT
m-386	874	16	)	)	PUNCT
m-386	874	17	;	;	PUNCT
m-386	874	18	1,2i	1,2i	NUM
m-386	874	19	m	m	VERB
m-386	874	20	np	np	ADP
m-386	874	21	z	z	PROPN
m-386	875	1	w	w	PROPN
m-386	876	1	i	i	PRON
m-386	876	2			VERB
m-386	876	3	,	,	PUNCT
m-386	876	4	are	be	AUX
m-386	876	5	satisfy	satisfy	VERB
m-386	876	6	the	the	DET
m-386	876	7	following	follow	VERB
m-386	876	8	relation	relation	NOUN
m-386	876	9	:	:	PUNCT
m-386	876	10	(	(	PUNCT
m-386	876	11	,	,	PUNCT
m-386	876	12	)	)	PUNCT
m-386	876	13	2	2	NUM
m-386	876	14	,	,	PUNCT
m-386	876	15	,	,	PUNCT
m-386	876	16	,	,	PUNCT
m-386	876	17	,	,	PUNCT
m-386	876	18	(	(	PUNCT
m-386	876	19	,	,	PUNCT
m-386	876	20	)	)	PUNCT
m-386	876	21	0	0	NUM
m-386	877	1	(	(	PUNCT
m-386	877	2	,	,	PUNCT
m-386	877	3	)	)	PUNCT
m-386	877	4	(	(	PUNCT
m-386	877	5	,	,	PUNCT
m-386	877	6	)	)	PUNCT
m-386	877	7	m	m	VERB
m-386	877	8	n	n	NUM
m-386	878	1	h	h	NOUN
m-386	879	1	k	k	NOUN
m-386	879	2	m	m	VERB
m-386	879	3	n	n	VERB
m-386	879	4	m	m	VERB
m-386	879	5	n	n	ADJ
m-386	879	6	h	h	NOUN
m-386	880	1	k	k	NOUN
m-386	880	2	h	h	NOUN
m-386	881	1	k	k	PROPN
m-386	881	2	p	p	X
m-386	881	3	z	z	PROPN
m-386	882	1	w	w	PROPN
m-386	883	1	p	p	X
m-386	884	1	p	p	PROPN
m-386	885	1	z	z	NOUN
m-386	886	1	w	w	NOUN
m-386	887	1			NUM
m-386	888	1			ADJ
m-386	888	2			X
m-386	888	3	.	.	PUNCT
m-386	889	1	by	by	ADP
m-386	889	2	relation	relation	NOUN
m-386	889	3	(	(	PUNCT
m-386	889	4	3.3	3.3	NUM
m-386	889	5	)	)	PUNCT
m-386	889	6	and	and	CCONJ
m-386	889	7	using	use	VERB
m-386	889	8	cauchy	cauchy	PROPN
m-386	889	9	's	's	PART
m-386	889	10	inequality	inequality	NOUN
m-386	889	11	we	we	PRON
m-386	889	12	get	get	VERB
m-386	889	13	(	(	PUNCT
m-386	889	14	,	,	PUNCT
m-386	889	15	)	)	PUNCT
m-386	889	16	2	2	NUM
m-386	889	17	,	,	PUNCT
m-386	889	18	,	,	PUNCT
m-386	889	19	,	,	PUNCT
m-386	889	20	,	,	PUNCT
m-386	889	21	,	,	PUNCT
m-386	889	22	,	,	PUNCT
m-386	889	23	(	(	PUNCT
m-386	889	24	,	,	PUNCT
m-386	889	25	)	)	PUNCT
m-386	889	26	0	0	NUM
m-386	890	1	(	(	PUNCT
m-386	890	2	,	,	PUNCT
m-386	890	3	)	)	PUNCT
m-386	890	4	,	,	PUNCT
m-386	890	5	1	1	NUM
m-386	890	6	,	,	PUNCT
m-386	890	7	,	,	PUNCT
m-386	890	8	(	(	PUNCT
m-386	890	9	,	,	PUNCT
m-386	890	10	)	)	PUNCT
m-386	890	11	0	0	NUM
m-386	891	1	1	1	NUM
m-386	891	2	,	,	PUNCT
m-386	891	3	1	1	NUM
m-386	891	4	,	,	PUNCT
m-386	891	5	,	,	PUNCT
m-386	891	6	1	1	NUM
m-386	891	7	1	1	NUM
m-386	891	8	1	1	NUM
m-386	891	9	[	[	PUNCT
m-386	891	10	;	;	PUNCT
m-386	891	11	]	]	PUNCT
m-386	892	1	|	|	ADV
m-386	892	2	|	|	ADV
m-386	892	3	[	[	PUNCT
m-386	892	4	;	;	PUNCT
m-386	892	5	]	]	PUNCT
m-386	892	6	1	1	X
m-386	893	1	|	|	ADV
m-386	893	2	|	|	ADV
m-386	893	3	1	1	NUM
m-386	893	4	[	[	PUNCT
m-386	893	5	;	;	PUNCT
m-386	893	6	]	]	PUNCT
m-386	893	7	.	.	PUNCT
m-386	894	1	m	m	VERB
m-386	894	2	n	n	NUM
m-386	895	1	h	h	NOUN
m-386	896	1	k	k	NOUN
m-386	896	2	m	m	VERB
m-386	896	3	n	n	VERB
m-386	896	4	m	m	VERB
m-386	896	5	n	n	ADV
m-386	896	6	m	m	PROPN
m-386	896	7	n	n	ADV
m-386	896	8	m	m	NOUN
m-386	896	9	n	n	ADJ
m-386	896	10	h	h	NOUN
m-386	897	1	k	k	NOUN
m-386	897	2	h	h	NOUN
m-386	898	1	k	k	NOUN
m-386	898	2	m	m	VERB
m-386	899	1	n	n	VERB
m-386	899	2	h	h	NOUN
m-386	900	1	k	k	NOUN
m-386	900	2	m	m	VERB
m-386	900	3	n	n	VERB
m-386	900	4	m	m	VERB
m-386	900	5	n	n	ADJ
m-386	900	6	h	h	NOUN
m-386	901	1	k	k	NOUN
m-386	901	2	h	h	NOUN
m-386	902	1	k	k	PROPN
m-386	902	2	h	h	PROPN
m-386	903	1	k	k	NOUN
m-386	903	2	m	m	VERB
m-386	903	3	n	n	VERB
m-386	903	4	m	m	VERB
m-386	903	5	n	n	ADV
m-386	903	6	m	m	PROPN
m-386	903	7	p	p	NOUN
m-386	903	8	p	p	NOUN
m-386	903	9	m	m	NOUN
m-386	903	10	p	p	NOUN
m-386	903	11	r	r	NOUN
m-386	903	12	r	r	NOUN
m-386	904	1	k	k	NOUN
m-386	904	2	p	p	NOUN
m-386	904	3	r	r	X
m-386	904	4	k	k	NOUN
m-386	904	5	m	m	VERB
m-386	904	6	p	p	NOUN
m-386	904	7	r	r	NOUN
m-386	904	8			X
m-386	904	9			X
m-386	904	10			X
m-386	904	11			X
m-386	904	12			X
m-386	904	13			NOUN
m-386	904	14			PUNCT
m-386	904	15			NUM
m-386	904	16			NUM
m-386	904	17			X
m-386	904	18			X
m-386	904	19	.	.	PUNCT
m-386	905	1	so	so	ADV
m-386	905	2	that	that	SCONJ
m-386	905	3	2	2	NUM
m-386	905	4	2	2	NUM
m-386	905	5	1	1	NUM
m-386	905	6	1	1	NUM
m-386	905	7	1	1	NUM
m-386	905	8	[	[	PUNCT
m-386	905	9	]	]	X
m-386	905	10	[	[	PUNCT
m-386	905	11	]	]	X
m-386	905	12	;	;	PUNCT
m-386	905	13	.for	.for	PUNCT
m-386	906	1	all	all	DET
m-386	906	2	r	r	NOUN
m-386	906	3	r	r	NOUN
m-386	906	4	r	r	NOUN
m-386	906	5	r	r	NOUN
m-386	906	6	r	r	NOUN
m-386	906	7			NOUN
m-386	906	8			NOUN
m-386	906	9	also	also	ADV
m-386	906	10	by	by	ADP
m-386	906	11	the	the	DET
m-386	906	12	same	same	ADJ
m-386	906	13	way	way	NOUN
m-386	906	14	we	we	PRON
m-386	906	15	can	can	AUX
m-386	906	16	prove	prove	VERB
m-386	906	17	that	that	SCONJ
m-386	906	18	1	1	NUM
m-386	906	19	2	2	NUM
m-386	906	20	2	2	NUM
m-386	906	21	3	3	NUM
m-386	906	22	1	1	NUM
m-386	906	23	1	1	NUM
m-386	906	24	1	1	NUM
m-386	906	25	[	[	PUNCT
m-386	906	26	]	]	X
m-386	906	27	[	[	PUNCT
m-386	906	28	]	]	X
m-386	906	29	;	;	PUNCT
m-386	906	30	for	for	ADP
m-386	906	31	all	all	DET
m-386	906	32	r	r	NOUN
m-386	906	33	r	r	NOUN
m-386	906	34	r	r	NOUN
m-386	906	35	r	r	NOUN
m-386	906	36	r	r	NOUN
m-386	906	37			ADJ
m-386	906	38			NOUN
m-386	906	39			PART
m-386	906	40			PROPN
m-386	906	41	and	and	CCONJ
m-386	906	42	by	by	ADP
m-386	906	43	induction	induction	NOUN
m-386	906	44	we	we	PRON
m-386	906	45	get	get	VERB
m-386	906	46	1	1	NUM
m-386	906	47	1	1	NUM
m-386	906	48	[	[	PUNCT
m-386	906	49	]	]	PUNCT
m-386	906	50	;	;	PUNCT
m-386	906	51	.for	.for	PUNCT
m-386	906	52	all	all	DET
m-386	906	53	r	r	NOUN
m-386	906	54	r	r	NOUN
m-386	906	55	r	r	NOUN
m-386	906	56	r	r	NOUN
m-386	906	57			NOUN
m-386	906	58	we	we	PRON
m-386	906	59	can	can	AUX
m-386	906	60	deduce	deduce	VERB
m-386	906	61	the	the	DET
m-386	906	62	following	following	NOUN
m-386	906	63	theorem	theorem	NOUN
m-386	906	64	from	from	ADP
m-386	906	65	this	this	DET
m-386	906	66	lemma	lemma	PROPN
m-386	906	67	:	:	PUNCT
m-386	906	68	theorem	theorem	NOUN
m-386	906	69	(	(	PUNCT
m-386	906	70	3.1	3.1	NUM
m-386	906	71	):	):	PUNCT
m-386	906	72	when	when	SCONJ
m-386	906	73			PROPN
m-386	906	74			PROPN
m-386	906	75	(	(	PUNCT
m-386	906	76	)	)	PUNCT
m-386	906	77	,	,	PUNCT
m-386	906	78	(	(	PUNCT
m-386	906	79	,	,	PUNCT
m-386	906	80	)	)	PUNCT
m-386	906	81	;	;	PUNCT
m-386	906	82	1,2i	1,2i	NUM
m-386	906	83	m	m	VERB
m-386	906	84	np	np	ADP
m-386	906	85	z	z	PROPN
m-386	907	1	w	w	PROPN
m-386	908	1	i	i	PRON
m-386	908	2			PROPN
m-386	908	3	two	two	NUM
m-386	908	4	algebraic	algebraic	ADJ
m-386	908	5	sets	set	NOUN
m-386	908	6	are	be	AUX
m-386	908	7	effective	effective	ADJ
m-386	908	8	and	and	CCONJ
m-386	908	9	satisfy	satisfy	VERB
m-386	908	10	in	in	ADP
m-386	908	11	the	the	DET
m-386	908	12	open	open	ADJ
m-386	908	13	hyperspheres	hypersphere	NOUN
m-386	908	14	1	1	NUM
m-386	908	15	rs	rs	NOUN
m-386	908	16	the	the	DET
m-386	908	17	condition	condition	NOUN
m-386	908	18	(	(	PUNCT
m-386	908	19	3.2	3.2	NUM
m-386	908	20	)	)	PUNCT
m-386	908	21	,	,	PUNCT
m-386	908	22	then	then	ADV
m-386	908	23	the	the	DET
m-386	908	24	similar	similar	ADJ
m-386	908	25	transposed	transpose	VERB
m-386	908	26	set	set	NOUN
m-386	908	27			PROPN
m-386	908	28			PROPN
m-386	908	29	,	,	PUNCT
m-386	908	30	(	(	PUNCT
m-386	908	31	,	,	PUNCT
m-386	908	32	)	)	PUNCT
m-386	908	33	m	m	VERB
m-386	908	34	nu	nu	PROPN
m-386	908	35	z	z	PROPN
m-386	908	36	w	w	PROPN
m-386	908	37	is	be	AUX
m-386	908	38	effective	effective	ADJ
m-386	908	39	in	in	ADP
m-386	908	40	open	open	ADJ
m-386	908	41	hyperspheres	hypersphere	NOUN
m-386	908	42	1	1	NUM
m-386	908	43	rs	rs	NOUN
m-386	908	44	.	.	PUNCT
m-386	909	1	proof	proof	NOUN
m-386	909	2	:	:	PUNCT
m-386	909	3	let	let	VERB
m-386	909	4	two	two	NUM
m-386	909	5	sets	set	NOUN
m-386	909	6			PRON
m-386	909	7			PROPN
m-386	909	8	(	(	PUNCT
m-386	909	9	)	)	PUNCT
m-386	909	10	,	,	PUNCT
m-386	909	11	(	(	PUNCT
m-386	909	12	,	,	PUNCT
m-386	909	13	)	)	PUNCT
m-386	909	14	;	;	PUNCT
m-386	909	15	1,2i	1,2i	NUM
m-386	909	16	m	m	VERB
m-386	909	17	np	np	ADP
m-386	909	18	z	z	PROPN
m-386	909	19	w	w	PROPN
m-386	910	1	i	i	PRON
m-386	910	2			VERB
m-386	910	3	be	be	VERB
m-386	910	4	algebraic	algebraic	ADJ
m-386	910	5	sets	set	VERB
m-386	910	6	each	each	PRON
m-386	910	7	fulfilling	fulfil	VERB
m-386	910	8	the	the	DET
m-386	910	9	following	follow	VERB
m-386	910	10	conditions	condition	NOUN
m-386	910	11	:	:	PUNCT
m-386	910	12	(	(	PUNCT
m-386	910	13	3.4	3.4	NUM
m-386	910	14	)	)	PUNCT
m-386	910	15	,	,	PUNCT
m-386	910	16	(	(	PUNCT
m-386	910	17	1	1	NUM
m-386	910	18	)	)	PUNCT
m-386	910	19	,	,	PUNCT
m-386	910	20	3	3	NUM
m-386	910	21	,	,	PUNCT
m-386	910	22	1	1	NUM
m-386	910	23	1	1	NUM
m-386	910	24	1	1	NUM
m-386	910	25	,	,	PUNCT
m-386	910	26	2	2	NUM
m-386	910	27	(	(	PUNCT
m-386	910	28	1	1	NUM
m-386	910	29	)	)	PUNCT
m-386	910	30	m	m	VERB
m-386	910	31	n	n	NUM
m-386	911	1	h	h	NOUN
m-386	911	2	kh	kh	PROPN
m-386	911	3	k	k	PROPN
m-386	911	4	m	m	VERB
m-386	911	5	n	n	NUM
m-386	911	6	h	h	NOUN
m-386	912	1	k	k	NOUN
m-386	912	2	m	m	VERB
m-386	912	3	n	n	ADV
m-386	912	4	r	r	NOUN
m-386	912	5	p	p	X
m-386	912	6	k	k	PROPN
m-386	912	7	t	t	PROPN
m-386	912	8	r	r	NOUN
m-386	912	9			PROPN
m-386	912	10			PROPN
m-386	912	11			PROPN
m-386	912	12			ADV
m-386	912	13			PUNCT
m-386	912	14			X
m-386	912	15	(	(	PUNCT
m-386	912	16	3.5	3.5	NUM
m-386	912	17	)	)	PUNCT
m-386	912	18	(	(	PUNCT
m-386	912	19	2	2	NUM
m-386	912	20	)	)	PUNCT
m-386	912	21	,	,	PUNCT
m-386	912	22	,	,	PUNCT
m-386	912	23	1	1	NUM
m-386	912	24	2	2	NUM
m-386	912	25	3	3	NUM
m-386	912	26	1	1	NUM
m-386	912	27	1	1	NUM
m-386	912	28	[	[	PUNCT
m-386	912	29	;	;	PUNCT
m-386	912	30	]	]	PUNCT
m-386	912	31	(	(	PUNCT
m-386	912	32	)	)	PUNCT
m-386	912	33	m	m	VERB
m-386	912	34	n	n	NOUN
m-386	912	35	m	m	VERB
m-386	913	1	n	n	ADJ
m-386	914	1	i	i	PRON
m-386	914	2	jm	jm	PROPN
m-386	914	3	p	p	PROPN
m-386	914	4	k	k	PROPN
m-386	914	5	r	r	NOUN
m-386	914	6	r	r	NOUN
m-386	914	7			PROPN
m-386	914	8			X
m-386	914	9	.	.	PUNCT
m-386	915	1	therefore	therefore	ADV
m-386	915	2	ijo	ijo	PROPN
m-386	915	3	international	international	PROPN
m-386	915	4	journal	journal	PROPN
m-386	915	5	of	of	ADP
m-386	915	6	mathematics	mathematics	PROPN
m-386	915	7	volume	volume	PROPN
m-386	915	8	3|	3|	NUM
m-386	915	9	issue	issue	NOUN
m-386	916	1	12|	12|	NUM
m-386	916	2	december	december	PROPN
m-386	916	3	|	|	NOUN
m-386	916	4	2020	2020	NUM
m-386	916	5	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	916	6	12	12	NUM
m-386	916	7	4	4	NUM
m-386	916	8	,	,	PUNCT
m-386	916	9	,	,	PUNCT
m-386	916	10	4	4	NUM
m-386	916	11	(	(	PUNCT
m-386	916	12	,	,	PUNCT
m-386	916	13	)	)	PUNCT
m-386	916	14	(	(	PUNCT
m-386	916	15	,	,	PUNCT
m-386	916	16	)	)	PUNCT
m-386	916	17	(	(	PUNCT
m-386	916	18	,	,	PUNCT
m-386	916	19	)	)	PUNCT
m-386	916	20	(	(	PUNCT
m-386	916	21	1	1	NUM
m-386	916	22	)	)	PUNCT
m-386	916	23	,	,	PUNCT
m-386	916	24	(	(	PUNCT
m-386	916	25	2	2	NUM
m-386	916	26	)	)	PUNCT
m-386	916	27	,	,	PUNCT
m-386	916	28	(	(	PUNCT
m-386	916	29	1	1	NUM
m-386	916	30	)	)	PUNCT
m-386	916	31	,	,	PUNCT
m-386	916	32	,	,	PUNCT
m-386	916	33	,	,	PUNCT
m-386	916	34	,	,	PUNCT
m-386	916	35	(	(	PUNCT
m-386	916	36	,	,	PUNCT
m-386	916	37	)	)	PUNCT
m-386	916	38	0	0	NUM
m-386	917	1	(	(	PUNCT
m-386	917	2	,	,	PUNCT
m-386	917	3	)	)	PUNCT
m-386	917	4	0	0	NUM
m-386	918	1	(	(	PUNCT
m-386	918	2	,	,	PUNCT
m-386	918	3	)	)	PUNCT
m-386	918	4	0	0	NUM
m-386	918	5	4	4	NUM
m-386	918	6	,	,	PUNCT
m-386	918	7	1	1	NUM
m-386	918	8	(	(	PUNCT
m-386	918	9	3.6	3.6	NUM
m-386	918	10	)	)	PUNCT
m-386	918	11	[	[	PUNCT
m-386	918	12	,	,	PUNCT
m-386	918	13	]	]	PUNCT
m-386	918	14	max	max	PROPN
m-386	918	15	(	(	PUNCT
m-386	918	16	,	,	PUNCT
m-386	918	17	)	)	PUNCT
m-386	918	18	1	1	NUM
m-386	919	1	|	|	ADV
m-386	919	2	||	||	INTJ
m-386	919	3	||	||	PUNCT
m-386	920	1	|	|	ADV
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m-386	1016	4	h	h	NOUN
m-386	1017	1	k	k	PROPN
m-386	1017	2	s	s	PROPN
m-386	1017	3	t	t	NOUN
m-386	1017	4	h	h	NOUN
m-386	1018	1	k	k	PROPN
m-386	1019	1	i	i	PRON
m-386	1020	1	j	j	PROPN
m-386	1020	2	s	s	PROPN
m-386	1021	1	t	t	PROPN
m-386	1021	2	h	h	NOUN
m-386	1022	1	k	k	PROPN
m-386	1022	2	s	s	PROPN
m-386	1022	3	t	t	PROPN
m-386	1022	4	s	s	PROPN
m-386	1022	5	t	t	PROPN
m-386	1022	6	m	m	NOUN
m-386	1022	7	n	n	ADP
m-386	1022	8	r	r	NOUN
m-386	1022	9	k	k	PROPN
m-386	1023	1	k	k	PROPN
m-386	1024	1	p	p	NOUN
m-386	1024	2	r	r	NOUN
m-386	1024	3	r	r	NOUN
m-386	1024	4	k	k	PROPN
m-386	1024	5	k	k	NOUN
m-386	1024	6	m	m	VERB
m-386	1024	7	p	p	NOUN
m-386	1024	8	r	r	NOUN
m-386	1024	9			X
m-386	1024	10			X
m-386	1024	11			X
m-386	1024	12			X
m-386	1024	13			X
m-386	1024	14			NOUN
m-386	1024	15			PUNCT
m-386	1024	16			PUNCT
m-386	1025	1			PROPN
m-386	1025	2			NUM
m-386	1025	3			NOUN
m-386	1025	4			X
m-386	1025	5			X
m-386	1025	6			X
m-386	1025	7	where	where	SCONJ
m-386	1025	8	2	2	NUM
m-386	1025	9	1	1	NUM
m-386	1025	10	1	1	NUM
m-386	1025	11	(	(	PUNCT
m-386	1025	12	1)k	1)k	NUM
m-386	1025	13	t	t	NOUN
m-386	1025	14			PUNCT
m-386	1025	15	.	.	PUNCT
m-386	1026	1	thus	thus	ADV
m-386	1026	2	1	1	NUM
m-386	1026	3	,	,	PUNCT
m-386	1026	4	,	,	PUNCT
m-386	1026	5	4	4	NUM
m-386	1026	6	3	3	NUM
m-386	1026	7	1	1	NUM
m-386	1026	8	(	(	PUNCT
m-386	1026	9	1	1	NUM
m-386	1026	10	)	)	PUNCT
m-386	1026	11	(	(	PUNCT
m-386	1026	12	1	1	NUM
m-386	1026	13	)	)	PUNCT
m-386	1026	14	,	,	PUNCT
m-386	1026	15	1	1	NUM
m-386	1026	16	2	2	NUM
m-386	1026	17	,	,	PUNCT
m-386	1026	18	3	3	NUM
m-386	1026	19	3	3	NUM
m-386	1026	20	1	1	NUM
m-386	1026	21	1	1	NUM
m-386	1026	22	[	[	PUNCT
m-386	1026	23	]	]	X
m-386	1026	24	limsup	limsup	NOUN
m-386	1026	25	[	[	PUNCT
m-386	1026	26	,	,	PUNCT
m-386	1026	27	]	]	SYM
m-386	1026	28	1	1	NUM
m-386	1026	29	1	1	NUM
m-386	1026	30	limsup	limsup	NOUN
m-386	1026	31	[	[	PUNCT
m-386	1026	32	;	;	PUNCT
m-386	1026	33	]	]	PUNCT
m-386	1026	34	[	[	PUNCT
m-386	1026	35	]	]	X
m-386	1026	36	m	m	VERB
m-386	1026	37	n	n	VERB
m-386	1026	38	m	m	VERB
m-386	1026	39	n	n	ADV
m-386	1026	40	m	m	NOUN
m-386	1026	41	n	n	ADV
m-386	1026	42	m	m	NOUN
m-386	1026	43	n	n	ADV
m-386	1026	44	m	m	NOUN
m-386	1026	45	n	n	ADV
m-386	1026	46	m	m	NOUN
m-386	1026	47	n	n	ADV
m-386	1026	48	m	m	NOUN
m-386	1026	49	n	n	ADV
m-386	1026	50	m	m	NOUN
m-386	1026	51	n	n	NOUN
m-386	1026	52	m	m	NOUN
m-386	1026	53	u	u	NOUN
m-386	1026	54	r	r	NOUN
m-386	1026	55	r	r	NOUN
m-386	1026	56	k	k	PROPN
m-386	1027	1	k	k	NOUN
m-386	1027	2	m	m	VERB
m-386	1027	3	p	p	NOUN
m-386	1027	4	r	r	NOUN
m-386	1027	5	r	r	NOUN
m-386	1027	6			NOUN
m-386	1027	7			NOUN
m-386	1027	8			NOUN
m-386	1027	9			NOUN
m-386	1027	10			ADV
m-386	1027	11			PUNCT
m-386	1027	12			PROPN
m-386	1027	13			ADV
m-386	1027	14			PUNCT
m-386	1027	15			NOUN
m-386	1027	16			ADP
m-386	1027	17			PROPN
m-386	1027	18			NOUN
m-386	1028	1			NUM
m-386	1028	2			NOUN
m-386	1029	1			PROPN
m-386	1029	2			PROPN
m-386	1030	1			ADP
m-386	1030	2			NOUN
m-386	1030	3			PROPN
m-386	1030	4			VERB
m-386	1030	5			PROPN
m-386	1030	6			PROPN
m-386	1030	7			PROPN
m-386	1030	8	and	and	CCONJ
m-386	1030	9	,	,	PUNCT
m-386	1030	10	,	,	PUNCT
m-386	1030	11	1	1	NUM
m-386	1030	12	4	4	NUM
m-386	1030	13	5	5	NUM
m-386	1030	14	1	1	NUM
m-386	1030	15	1	1	NUM
m-386	1030	16	[	[	PUNCT
m-386	1030	17	,	,	PUNCT
m-386	1030	18	]	]	X
m-386	1030	19	(	(	PUNCT
m-386	1030	20	)	)	PUNCT
m-386	1030	21	m	m	VERB
m-386	1030	22	n	n	VERB
m-386	1030	23	m	m	VERB
m-386	1030	24	n	n	ADV
m-386	1030	25	m	m	VERB
m-386	1030	26	nm	nm	ADV
m-386	1030	27	u	u	NOUN
m-386	1030	28	k	k	NOUN
m-386	1030	29	r	r	NOUN
m-386	1030	30	r	r	NOUN
m-386	1030	31			PROPN
m-386	1030	32			X
m-386	1030	33	.	.	PUNCT
m-386	1031	1	now	now	ADV
m-386	1031	2	,	,	PUNCT
m-386	1031	3	taking	take	VERB
m-386	1031	4	(	(	PUNCT
m-386	1031	5	3.7	3.7	NUM
m-386	1031	6	)	)	PUNCT
m-386	1031	7	,	,	PUNCT
m-386	1031	8	(	(	PUNCT
m-386	1031	9	1	1	NUM
m-386	1031	10	)	)	PUNCT
m-386	1031	11	,	,	PUNCT
m-386	1031	12	4	4	NUM
m-386	1031	13	,	,	PUNCT
m-386	1031	14	1	1	NUM
m-386	1031	15	1	1	NUM
m-386	1031	16	1	1	NUM
m-386	1031	17	,	,	PUNCT
m-386	1031	18	3	3	NUM
m-386	1031	19	(	(	PUNCT
m-386	1031	20	1	1	NUM
m-386	1031	21	)	)	PUNCT
m-386	1031	22	m	m	VERB
m-386	1031	23	n	n	NUM
m-386	1032	1	h	h	NOUN
m-386	1033	1	kh	kh	PROPN
m-386	1034	1	k	k	PROPN
m-386	1035	1	m	m	VERB
m-386	1035	2	n	n	NUM
m-386	1035	3	h	h	NOUN
m-386	1036	1	k	k	NOUN
m-386	1036	2	m	m	VERB
m-386	1036	3	n	n	ADV
m-386	1036	4	r	r	NOUN
m-386	1036	5	p	p	X
m-386	1036	6	k	k	PROPN
m-386	1036	7	t	t	PROPN
m-386	1036	8	r	r	NOUN
m-386	1036	9			PROPN
m-386	1036	10			PROPN
m-386	1036	11			PROPN
m-386	1036	12			ADV
m-386	1036	13			PUNCT
m-386	1036	14			X
m-386	1036	15	(	(	PUNCT
m-386	1036	16	3.8	3.8	NUM
m-386	1036	17	)	)	PUNCT
m-386	1036	18	,	,	PUNCT
m-386	1036	19	(	(	PUNCT
m-386	1036	20	2	2	NUM
m-386	1036	21	)	)	PUNCT
m-386	1036	22	,	,	PUNCT
m-386	1036	23	2	2	NUM
m-386	1036	24	,	,	PUNCT
m-386	1036	25	1	1	NUM
m-386	1036	26	2	2	NUM
m-386	1036	27	2	2	NUM
m-386	1036	28	,	,	PUNCT
m-386	1036	29	1	1	NUM
m-386	1036	30	(	(	PUNCT
m-386	1036	31	1	1	NUM
m-386	1036	32	)	)	PUNCT
m-386	1036	33	m	m	VERB
m-386	1036	34	n	n	NUM
m-386	1037	1	h	h	NOUN
m-386	1037	2	kh	kh	PROPN
m-386	1037	3	k	k	PROPN
m-386	1037	4	m	m	VERB
m-386	1037	5	n	n	NUM
m-386	1037	6	h	h	NOUN
m-386	1038	1	k	k	NOUN
m-386	1038	2	m	m	VERB
m-386	1038	3	n	n	ADV
m-386	1038	4	r	r	NOUN
m-386	1038	5	p	p	X
m-386	1038	6	k	k	PROPN
m-386	1038	7	t	t	PROPN
m-386	1038	8	r	r	NOUN
m-386	1038	9			PROPN
m-386	1038	10			PROPN
m-386	1038	11			PROPN
m-386	1038	12			ADV
m-386	1038	13			ADV
m-386	1038	14			PUNCT
m-386	1038	15	.	.	PUNCT
m-386	1039	1	by	by	ADP
m-386	1039	2	(	(	PUNCT
m-386	1039	3	3.6	3.6	NUM
m-386	1039	4	)	)	PUNCT
m-386	1039	5	,	,	PUNCT
m-386	1039	6	(	(	PUNCT
m-386	1039	7	3.7	3.7	NUM
m-386	1039	8	)	)	PUNCT
m-386	1039	9	,	,	PUNCT
m-386	1039	10	(	(	PUNCT
m-386	1039	11	3.8	3.8	NUM
m-386	1039	12	)	)	PUNCT
m-386	1039	13	and	and	CCONJ
m-386	1039	14	cauchy	cauchy	PROPN
m-386	1039	15	's	's	PART
m-386	1039	16	inequality	inequality	NOUN
m-386	1039	17	it	it	PRON
m-386	1039	18	follows	follow	VERB
m-386	1039	19	that	that	PRON
m-386	1039	20	:	:	PUNCT
m-386	1039	21	(	(	PUNCT
m-386	1039	22	,	,	PUNCT
m-386	1039	23	)	)	PUNCT
m-386	1039	24	,	,	PUNCT
m-386	1039	25	,	,	PUNCT
m-386	1039	26	,	,	PUNCT
m-386	1039	27	,	,	PUNCT
m-386	1039	28	,	,	PUNCT
m-386	1039	29	(	(	PUNCT
m-386	1039	30	,	,	PUNCT
m-386	1039	31	)	)	PUNCT
m-386	1039	32	04	04	NUM
m-386	1040	1	4	4	NUM
m-386	1040	2	(	(	PUNCT
m-386	1040	3	,	,	PUNCT
m-386	1040	4	)	)	PUNCT
m-386	1040	5	(	(	PUNCT
m-386	1040	6	,	,	PUNCT
m-386	1040	7	)	)	PUNCT
m-386	1040	8	(	(	PUNCT
m-386	1040	9	,	,	PUNCT
m-386	1040	10	)	)	PUNCT
m-386	1040	11	(	(	PUNCT
m-386	1040	12	1	1	NUM
m-386	1040	13	)	)	PUNCT
m-386	1040	14	,	,	PUNCT
m-386	1040	15	(	(	PUNCT
m-386	1040	16	2	2	NUM
m-386	1040	17	)	)	PUNCT
m-386	1040	18	,	,	PUNCT
m-386	1040	19	(	(	PUNCT
m-386	1040	20	1	1	NUM
m-386	1040	21	)	)	PUNCT
m-386	1040	22	,	,	PUNCT
m-386	1040	23	,	,	PUNCT
m-386	1040	24	,	,	PUNCT
m-386	1040	25	,	,	PUNCT
m-386	1040	26	,	,	PUNCT
m-386	1040	27	,	,	PUNCT
m-386	1040	28	(	(	PUNCT
m-386	1040	29	,	,	PUNCT
m-386	1040	30	)	)	PUNCT
m-386	1040	31	0	0	NUM
m-386	1041	1	(	(	PUNCT
m-386	1041	2	,	,	PUNCT
m-386	1041	3	)	)	PUNCT
m-386	1041	4	0	0	NUM
m-386	1042	1	(	(	PUNCT
m-386	1042	2	,	,	PUNCT
m-386	1042	3	)	)	PUNCT
m-386	1042	4	0	0	NUM
m-386	1042	5	4	4	NUM
m-386	1042	6	1	1	NUM
m-386	1042	7	1	1	NUM
m-386	1042	8	[	[	PUNCT
m-386	1042	9	]	]	X
m-386	1042	10	[	[	PUNCT
m-386	1042	11	;	;	PUNCT
m-386	1042	12	]	]	PUNCT
m-386	1042	13	1	1	NUM
m-386	1042	14	|	|	ADV
m-386	1042	15	||	||	INTJ
m-386	1043	1	||	||	PUNCT
m-386	1044	1	|	|	ADV
m-386	1044	2	[	[	PUNCT
m-386	1044	3	;	;	PUNCT
m-386	1044	4	]	]	PUNCT
m-386	1044	5	m	m	VERB
m-386	1044	6	n	n	NUM
m-386	1044	7	h	h	NOUN
m-386	1045	1	k	k	NOUN
m-386	1045	2	m	m	VERB
m-386	1045	3	n	n	VERB
m-386	1045	4	m	m	VERB
m-386	1045	5	n	n	ADV
m-386	1045	6	m	m	NOUN
m-386	1045	7	n	n	ADJ
m-386	1045	8	h	h	NOUN
m-386	1046	1	k	k	NOUN
m-386	1046	2	h	h	NOUN
m-386	1047	1	k	k	NOUN
m-386	1047	2	m	m	VERB
m-386	1048	1	n	n	ADV
m-386	1048	2	h	h	NOUN
m-386	1049	1	k	k	NOUN
m-386	1050	1	i	i	PRON
m-386	1050	2	j	j	NOUN
m-386	1051	1	h	h	NOUN
m-386	1052	1	k	k	PROPN
m-386	1053	1	i	i	PRON
m-386	1053	2	j	j	PROPN
m-386	1053	3	s	s	PROPN
m-386	1053	4	t	t	PROPN
m-386	1053	5	m	m	VERB
m-386	1053	6	n	n	PRON
m-386	1053	7	m	m	NOUN
m-386	1053	8	n	n	ADJ
m-386	1054	1	h	h	NOUN
m-386	1055	1	k	k	NOUN
m-386	1056	1	i	i	PRON
m-386	1056	2	j	j	PROPN
m-386	1056	3	s	s	PROPN
m-386	1057	1	t	t	PROPN
m-386	1057	2	h	h	NOUN
m-386	1058	1	k	k	PROPN
m-386	1059	1	i	i	PRON
m-386	1060	1	j	j	PROPN
m-386	1060	2	s	s	PROPN
m-386	1060	3	t	t	X
m-386	1060	4	u	u	NOUN
m-386	1060	5	m	m	NOUN
m-386	1060	6	u	u	NOUN
m-386	1060	7	r	r	NOUN
m-386	1060	8	r	r	NOUN
m-386	1061	1	p	p	NOUN
m-386	1061	2	p	p	X
m-386	1061	3	p	p	NOUN
m-386	1061	4	m	m	PROPN
m-386	1061	5	u	u	NOUN
m-386	1061	6	r	r	NOUN
m-386	1061	7			X
m-386	1061	8			X
m-386	1061	9			NOUN
m-386	1062	1			NUM
m-386	1063	1			NOUN
m-386	1064	1			ADJ
m-386	1065	1			NUM
m-386	1065	2			NUM
m-386	1065	3			NOUN
m-386	1065	4			X
m-386	1065	5			X
m-386	1065	6			X
m-386	1065	7			X
m-386	1065	8	ijo	ijo	PROPN
m-386	1065	9	international	international	PROPN
m-386	1065	10	journal	journal	PROPN
m-386	1065	11	of	of	ADP
m-386	1065	12	mathematics	mathematics	PROPN
m-386	1065	13	volume	volume	PROPN
m-386	1065	14	3|	3|	NUM
m-386	1065	15	issue	issue	NOUN
m-386	1065	16	12|	12|	NUM
m-386	1065	17	december	december	PROPN
m-386	1065	18	|	|	NOUN
m-386	1065	19	2020	2020	NUM
m-386	1065	20	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	1065	21	13	13	NUM
m-386	1065	22	(	(	PUNCT
m-386	1065	23	,	,	PUNCT
m-386	1065	24	)	)	PUNCT
m-386	1065	25	(	(	PUNCT
m-386	1065	26	,	,	PUNCT
m-386	1065	27	)	)	PUNCT
m-386	1065	28	(	(	PUNCT
m-386	1065	29	,	,	PUNCT
m-386	1065	30	)	)	PUNCT
m-386	1065	31	(	(	PUNCT
m-386	1065	32	1	1	NUM
m-386	1065	33	)	)	PUNCT
m-386	1065	34	,	,	PUNCT
m-386	1065	35	(	(	PUNCT
m-386	1065	36	2	2	NUM
m-386	1065	37	)	)	PUNCT
m-386	1065	38	,	,	PUNCT
m-386	1065	39	(	(	PUNCT
m-386	1065	40	1	1	NUM
m-386	1065	41	)	)	PUNCT
m-386	1065	42	,	,	PUNCT
m-386	1065	43	,	,	PUNCT
m-386	1065	44	,	,	PUNCT
m-386	1065	45	,	,	PUNCT
m-386	1065	46	,	,	PUNCT
m-386	1065	47	,	,	PUNCT
m-386	1065	48	(	(	PUNCT
m-386	1065	49	,	,	PUNCT
m-386	1065	50	)	)	PUNCT
m-386	1065	51	0	0	NUM
m-386	1066	1	(	(	PUNCT
m-386	1066	2	,	,	PUNCT
m-386	1066	3	)	)	PUNCT
m-386	1066	4	0	0	NUM
m-386	1067	1	(	(	PUNCT
m-386	1067	2	,	,	PUNCT
m-386	1067	3	)	)	PUNCT
m-386	1067	4	0	0	NUM
m-386	1067	5	4	4	NUM
m-386	1067	6	(	(	PUNCT
m-386	1067	7	,	,	PUNCT
m-386	1067	8	)	)	PUNCT
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m-386	1067	20	2	2	NUM
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m-386	1067	24	1	1	X
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m-386	1067	26	,	,	PUNCT
m-386	1067	27	1	1	NUM
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m-386	1067	29	,	,	PUNCT
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m-386	1068	4	0	0	NUM
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m-386	1069	7	1	1	NUM
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m-386	1071	5	1	1	NUM
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m-386	1072	1	||	||	PUNCT
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m-386	1073	2	m	m	VERB
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m-386	1076	2	j	j	PROPN
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m-386	1086	2	h	h	NOUN
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m-386	1095	1	t	t	NOUN
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m-386	1098	5	t	t	NOUN
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m-386	1099	2	p	p	X
m-386	1099	3	p	p	NOUN
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m-386	1099	5	u	u	NOUN
m-386	1099	6	r	r	NOUN
m-386	1099	7	k	k	PROPN
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m-386	1101	1	p	p	X
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m-386	1101	5			X
m-386	1101	6			X
m-386	1101	7			X
m-386	1101	8			NOUN
m-386	1102	1			NUM
m-386	1102	2			NOUN
m-386	1102	3			ADV
m-386	1102	4			PRON
m-386	1102	5			PROPN
m-386	1102	6			NUM
m-386	1102	7			NOUN
m-386	1102	8			X
m-386	1102	9			X
m-386	1102	10			X
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m-386	1102	25	1	1	NUM
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m-386	1102	31	,	,	PUNCT
m-386	1102	32	4	4	NUM
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m-386	1104	10	,	,	PUNCT
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m-386	1104	21	1	1	NUM
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m-386	1104	23	,	,	PUNCT
m-386	1104	24	2	2	NUM
m-386	1104	25	4	4	NUM
m-386	1104	26	1	1	NUM
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m-386	1105	3	)	)	PUNCT
m-386	1105	4	0	0	NUM
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m-386	1106	4	0	0	NUM
m-386	1106	5	,	,	PUNCT
m-386	1106	6	1	1	NUM
m-386	1106	7	,	,	PUNCT
m-386	1106	8	3	3	NUM
m-386	1106	9	1	1	NUM
m-386	1107	1	|	|	ADV
m-386	1107	2	||	||	NOUN
m-386	1108	1	|	|	ADV
m-386	1108	2	1	1	NUM
m-386	1109	1	|	|	ADV
m-386	1109	2	|	|	ADV
m-386	1109	3	s	s	VERB
m-386	1109	4	tm	tm	NOUN
m-386	1109	5	n	n	ADP
m-386	1109	6	h	h	NOUN
m-386	1110	1	k	k	NOUN
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m-386	1111	2	j	j	VERB
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m-386	1112	2	jh	jh	PROPN
m-386	1113	1	k	k	INTJ
m-386	1113	2	h	h	PROPN
m-386	1114	1	k	k	NOUN
m-386	1114	2	m	m	VERB
m-386	1114	3	n	n	VERB
m-386	1114	4	m	m	VERB
m-386	1114	5	n	n	ADJ
m-386	1115	1	i	i	PRON
m-386	1115	2	j	j	PROPN
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m-386	1116	2	j	j	PROPN
m-386	1116	3	s	s	PROPN
m-386	1117	1	t	t	PROPN
m-386	1117	2	h	h	NOUN
m-386	1118	1	k	k	PROPN
m-386	1119	1	i	i	PRON
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m-386	1120	2	s	s	PROPN
m-386	1120	3	t	t	PROPN
m-386	1120	4	s	s	PROPN
m-386	1120	5	t	t	PROPN
m-386	1120	6	s	s	PROPN
m-386	1120	7	t	t	NOUN
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m-386	1121	5	n	n	ADP
m-386	1121	6	h	h	NOUN
m-386	1122	1	k	k	NOUN
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m-386	1124	1	i	i	PRON
m-386	1124	2	jh	jh	PROPN
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m-386	1125	2	k	k	PROPN
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m-386	1125	5	m	m	VERB
m-386	1125	6	n	n	ADJ
m-386	1125	7	h	h	NOUN
m-386	1126	1	k	k	NOUN
m-386	1127	1	i	i	PRON
m-386	1127	2	j	j	NOUN
m-386	1128	1	h	h	NOUN
m-386	1129	1	k	k	PROPN
m-386	1130	1	i	i	PRON
m-386	1130	2	j	j	PROPN
m-386	1130	3	s	s	PROPN
m-386	1131	1	t	t	X
m-386	1132	1	i	i	PRON
m-386	1132	2	j	j	PROPN
m-386	1132	3	s	s	PROPN
m-386	1133	1	t	t	PROPN
m-386	1133	2	r	r	NOUN
m-386	1134	1	k	k	PROPN
m-386	1134	2	k	k	PROPN
m-386	1135	1	p	p	X
m-386	1136	1	p	p	X
m-386	1136	2	r	r	NOUN
m-386	1136	3	r	r	NOUN
m-386	1136	4	r	r	NOUN
m-386	1136	5	r	r	NOUN
m-386	1136	6	k	k	NOUN
m-386	1137	1	k	k	PROPN
m-386	1137	2	p	p	NOUN
m-386	1137	3	r	r	NOUN
m-386	1137	4	r	r	NOUN
m-386	1137	5	r	r	NOUN
m-386	1137	6			X
m-386	1137	7			X
m-386	1137	8			X
m-386	1137	9			NUM
m-386	1137	10			NOUN
m-386	1137	11			X
m-386	1137	12			X
m-386	1137	13			X
m-386	1137	14			NOUN
m-386	1137	15			PUNCT
m-386	1137	16			PUNCT
m-386	1138	1			PROPN
m-386	1139	1			PROPN
m-386	1140	1			PROPN
m-386	1140	2			ADV
m-386	1140	3			PUNCT
m-386	1140	4			PUNCT
m-386	1140	5			PUNCT
m-386	1141	1			PROPN
m-386	1142	1			NUM
m-386	1142	2			NOUN
m-386	1142	3			X
m-386	1142	4			X
m-386	1142	5			X
m-386	1142	6			X
m-386	1142	7			X
m-386	1142	8			X
m-386	1142	9	5	5	NUM
m-386	1142	10	,	,	PUNCT
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m-386	1142	13	s	s	PART
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m-386	1142	18	(	(	PUNCT
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m-386	1142	20	)	)	PUNCT
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m-386	1142	23	)	)	PUNCT
m-386	1142	24	,	,	PUNCT
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m-386	1142	28	1	1	NUM
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m-386	1142	30	,	,	PUNCT
m-386	1142	31	2	2	NUM
m-386	1142	32	4	4	NUM
m-386	1142	33	1	1	NUM
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m-386	1142	35	,	,	PUNCT
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m-386	1142	39	)	)	PUNCT
m-386	1142	40	0	0	NUM
m-386	1143	1	(	(	PUNCT
m-386	1143	2	,	,	PUNCT
m-386	1143	3	)	)	PUNCT
m-386	1143	4	0	0	NUM
m-386	1144	1	(	(	PUNCT
m-386	1144	2	,	,	PUNCT
m-386	1144	3	)	)	PUNCT
m-386	1144	4	0	0	NUM
m-386	1144	5	,	,	PUNCT
m-386	1144	6	1	1	NUM
m-386	1144	7	,	,	PUNCT
m-386	1144	8	1	1	NUM
m-386	1144	9	,	,	PUNCT
m-386	1144	10	3	3	NUM
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m-386	1144	12	,	,	PUNCT
m-386	1144	13	(	(	PUNCT
m-386	1144	14	1	1	X
m-386	1144	15	)	)	SYM
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m-386	1144	17	2	2	NUM
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m-386	1144	19	,	,	PUNCT
m-386	1144	20	,	,	PUNCT
m-386	1144	21	1	1	NUM
m-386	1144	22	1	1	NUM
m-386	1145	1	|	|	ADV
m-386	1145	2	|	|	ADV
m-386	1145	3	1	1	NUM
m-386	1145	4	[	[	PUNCT
m-386	1145	5	;	;	PUNCT
m-386	1145	6	]	]	PUNCT
m-386	1146	1	i	i	PRON
m-386	1146	2	j	j	PROPN
m-386	1146	3	s	s	VERB
m-386	1146	4	tm	tm	PROPN
m-386	1147	1	n	n	ADP
m-386	1147	2	h	h	NOUN
m-386	1148	1	k	k	NOUN
m-386	1149	1	i	i	PRON
m-386	1149	2	j	j	VERB
m-386	1150	1	i	i	PRON
m-386	1150	2	jh	jh	PROPN
m-386	1151	1	k	k	INTJ
m-386	1151	2	h	h	PROPN
m-386	1152	1	kh	kh	PROPN
m-386	1152	2	k	k	PROPN
m-386	1152	3	m	m	VERB
m-386	1152	4	n	n	VERB
m-386	1152	5	m	m	VERB
m-386	1152	6	n	n	ADJ
m-386	1152	7	h	h	NOUN
m-386	1153	1	k	k	NOUN
m-386	1153	2	h	h	NOUN
m-386	1154	1	k	k	PROPN
m-386	1155	1	i	i	PRON
m-386	1155	2	j	j	PROPN
m-386	1155	3	s	s	PROPN
m-386	1156	1	t	t	PROPN
m-386	1156	2	h	h	NOUN
m-386	1157	1	k	k	PROPN
m-386	1158	1	i	i	PRON
m-386	1159	1	j	j	PROPN
m-386	1159	2	s	s	PROPN
m-386	1160	1	t	t	PROPN
m-386	1160	2	h	h	NOUN
m-386	1161	1	k	k	PROPN
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m-386	1163	1	j	j	PROPN
m-386	1163	2	s	s	PROPN
m-386	1163	3	t	t	PROPN
m-386	1163	4	s	s	PROPN
m-386	1163	5	t	t	PROPN
m-386	1163	6	m	m	PROPN
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m-386	1163	8	m	m	NOUN
m-386	1163	9	n	n	ADV
m-386	1163	10	r	r	NOUN
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m-386	1164	1	k	k	PROPN
m-386	1165	1	k	k	PROPN
m-386	1166	1	p	p	NOUN
m-386	1167	1	r	r	NOUN
m-386	1167	2	r	r	NOUN
m-386	1167	3	r	r	NOUN
m-386	1167	4	r	r	NOUN
m-386	1167	5	k	k	PROPN
m-386	1167	6	k	k	PROPN
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m-386	1168	2	m	m	VERB
m-386	1168	3	p	p	NOUN
m-386	1168	4	r	r	NOUN
m-386	1168	5			NOUN
m-386	1168	6			X
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m-386	1168	8			X
m-386	1168	9			X
m-386	1168	10			X
m-386	1168	11			X
m-386	1168	12			X
m-386	1168	13			X
m-386	1168	14			ADV
m-386	1168	15			PROPN
m-386	1168	16			PROPN
m-386	1168	17			PUNCT
m-386	1168	18			PUNCT
m-386	1168	19			PROPN
m-386	1169	1			NUM
m-386	1169	2			NOUN
m-386	1169	3			X
m-386	1169	4			X
m-386	1169	5			X
m-386	1169	6	where	where	SCONJ
m-386	1169	7	2	2	NUM
m-386	1169	8	1	1	NUM
m-386	1169	9	1	1	NUM
m-386	1169	10	(	(	PUNCT
m-386	1169	11	1)k	1)k	NUM
m-386	1169	12	t	t	NOUN
m-386	1169	13			PUNCT
m-386	1169	14	;	;	PUNCT
m-386	1169	15	3	3	NUM
m-386	1169	16	2	2	NUM
m-386	1169	17	2	2	NUM
m-386	1169	18	(	(	PUNCT
m-386	1169	19	1)k	1)k	NUM
m-386	1169	20	t	t	NOUN
m-386	1169	21			PUNCT
m-386	1169	22	.	.	PUNCT
m-386	1170	1	so	so	ADV
m-386	1170	2	that	that	SCONJ
m-386	1170	3	1	1	NUM
m-386	1170	4	(	(	PUNCT
m-386	1170	5	1	1	NUM
m-386	1170	6	)	)	PUNCT
m-386	1170	7	,	,	PUNCT
m-386	1170	8	4	4	NUM
m-386	1170	9	4	4	NUM
m-386	1170	10	1	1	NUM
m-386	1170	11	1	1	NUM
m-386	1170	12	1	1	NUM
m-386	1170	13	1	1	NUM
m-386	1170	14	1	1	NUM
m-386	1170	15	[	[	PUNCT
m-386	1170	16	]	]	X
m-386	1170	17	limsup	limsup	NOUN
m-386	1170	18	[	[	PUNCT
m-386	1170	19	]	]	X
m-386	1170	20	[	[	PUNCT
m-386	1170	21	]	]	X
m-386	1170	22	;	;	PUNCT
m-386	1170	23	m	m	VERB
m-386	1170	24	n	n	PRON
m-386	1170	25	m	m	VERB
m-386	1170	26	n	n	PRON
m-386	1170	27	m	m	NOUN
m-386	1170	28	n	n	ADJ
m-386	1170	29	for	for	ADP
m-386	1170	30	all	all	DET
m-386	1170	31	r	r	NOUN
m-386	1170	32	r	r	NOUN
m-386	1170	33	r	r	NOUN
m-386	1170	34	r	r	NOUN
m-386	1170	35	r	r	NOUN
m-386	1170	36	r	r	NOUN
m-386	1170	37			NOUN
m-386	1170	38			NOUN
m-386	1170	39			ADV
m-386	1170	40			PUNCT
m-386	1170	41			NOUN
m-386	1170	42			ADP
m-386	1170	43			NOUN
m-386	1170	44			NOUN
m-386	1170	45			NOUN
m-386	1170	46			VERB
m-386	1170	47			PROPN
m-386	1170	48			PROPN
m-386	1170	49			PROPN
m-386	1170	50	.	.	PUNCT
m-386	1171	1	in	in	ADP
m-386	1171	2	other	other	ADJ
m-386	1171	3	words	word	NOUN
m-386	1171	4	,	,	PUNCT
m-386	1171	5	the	the	DET
m-386	1171	6	similar	similar	ADJ
m-386	1171	7	transposed	transpose	VERB
m-386	1171	8	set	set	NOUN
m-386	1171	9			PROPN
m-386	1171	10			PROPN
m-386	1171	11	,	,	PUNCT
m-386	1171	12	(	(	PUNCT
m-386	1171	13	,	,	PUNCT
m-386	1171	14	)	)	PUNCT
m-386	1171	15	m	m	VERB
m-386	1171	16	nu	nu	PROPN
m-386	1171	17	z	z	X
m-386	1171	18	w	w	PROPN
m-386	1171	19	effective	effective	ADJ
m-386	1171	20	established	establish	VERB
m-386	1171	21	an	an	DET
m-386	1171	22	open	open	ADJ
m-386	1171	23	hypersphere	hypersphere	NOUN
m-386	1171	24	1	1	NUM
m-386	1171	25	rs	rs	NOUN
m-386	1171	26	.	.	PUNCT
m-386	1172	1	4effectiveness	4effectiveness	NUM
m-386	1172	2	of	of	ADP
m-386	1172	3	similar	similar	ADJ
m-386	1172	4	transposed	transpose	VERB
m-386	1172	5	set	set	NOUN
m-386	1172	6	of	of	ADP
m-386	1172	7	polynomials	polynomial	NOUN
m-386	1172	8	in	in	ADP
m-386	1172	9	closed	closed	ADJ
m-386	1172	10	hyperspheres	hypersphere	NOUN
m-386	1172	11	now	now	ADV
m-386	1172	12	we	we	PRON
m-386	1172	13	are	be	AUX
m-386	1172	14	giving	give	VERB
m-386	1172	15	some	some	DET
m-386	1172	16	important	important	ADJ
m-386	1172	17	results	result	NOUN
m-386	1172	18	for	for	ADP
m-386	1172	19	the	the	DET
m-386	1172	20	effectiveness	effectiveness	NOUN
m-386	1172	21	of	of	ADP
m-386	1172	22	similar	similar	ADJ
m-386	1172	23	transposed	transpose	VERB
m-386	1172	24	sets	set	NOUN
m-386	1172	25	of	of	ADP
m-386	1172	26	polynomials	polynomial	NOUN
m-386	1172	27	in	in	ADP
m-386	1172	28	some	some	DET
m-386	1172	29	other	other	ADJ
m-386	1172	30	regions	region	NOUN
m-386	1172	31	,	,	PUNCT
m-386	1172	32	and	and	CCONJ
m-386	1172	33	a	a	DET
m-386	1172	34	new	new	ADJ
m-386	1172	35	study	study	NOUN
m-386	1172	36	of	of	ADP
m-386	1172	37	the	the	DET
m-386	1172	38	effectiveness	effectiveness	NOUN
m-386	1172	39	of	of	ADP
m-386	1172	40	these	these	DET
m-386	1172	41	polynomials	polynomial	NOUN
m-386	1172	42	is	be	AUX
m-386	1172	43	being	be	AUX
m-386	1172	44	considered	consider	VERB
m-386	1172	45	,	,	PUNCT
m-386	1172	46	and	and	CCONJ
m-386	1172	47	proof	proof	NOUN
m-386	1172	48	of	of	ADP
m-386	1172	49	these	these	DET
m-386	1172	50	results	result	NOUN
m-386	1172	51	is	be	AUX
m-386	1172	52	given	give	VERB
m-386	1172	53	in	in	ADP
m-386	1172	54	a	a	DET
m-386	1172	55	similar	similar	ADJ
m-386	1172	56	manner	manner	NOUN
m-386	1172	57	to	to	ADP
m-386	1172	58	those	those	PRON
m-386	1172	59	previously	previously	ADV
m-386	1172	60	identified	identify	VERB
m-386	1172	61	in	in	ADP
m-386	1172	62	this	this	DET
m-386	1172	63	study	study	NOUN
m-386	1172	64	.	.	PUNCT
m-386	1173	1	first	first	ADJ
m-386	1173	2	effectiveness	effectiveness	NOUN
m-386	1173	3	of	of	ADP
m-386	1173	4	transposed	transpose	VERB
m-386	1173	5	basic	basic	ADJ
m-386	1173	6	set	set	NOUN
m-386	1173	7	of	of	ADP
m-386	1173	8	polynomials	polynomial	NOUN
m-386	1173	9	of	of	ADP
m-386	1173	10	two	two	NUM
m-386	1173	11	complex	complex	ADJ
m-386	1173	12	variables	variable	NOUN
m-386	1173	13			PROPN
m-386	1173	14			PROPN
m-386	1173	15	,	,	PUNCT
m-386	1173	16	(	(	PUNCT
m-386	1173	17	,	,	PUNCT
m-386	1173	18	)	)	PUNCT
m-386	1173	19	m	m	VERB
m-386	1173	20	np	np	INTJ
m-386	1173	21	z	z	NOUN
m-386	1173	22	w	w	PROPN
m-386	1173	23	in	in	ADP
m-386	1173	24	closed	closed	ADJ
m-386	1173	25	hyperspheres	hypersphere	NOUN
m-386	1173	26	1	1	NUM
m-386	1173	27	r	r	NOUN
m-386	1173	28	s	s	PRON
m-386	1173	29	whenever	whenever	SCONJ
m-386	1173	30	the	the	DET
m-386	1173	31	simple	simple	ADJ
m-386	1173	32	basic	basic	ADJ
m-386	1173	33	set	set	NOUN
m-386	1173	34			PROPN
m-386	1173	35			PROPN
m-386	1173	36	,	,	PUNCT
m-386	1173	37	(	(	PUNCT
m-386	1173	38	,	,	PUNCT
m-386	1173	39	)	)	PUNCT
m-386	1173	40	m	m	VERB
m-386	1173	41	np	np	INTJ
m-386	1173	42	z	z	NOUN
m-386	1173	43	w	w	NOUN
m-386	1173	44	effective	effective	ADJ
m-386	1173	45	in	in	ADP
m-386	1173	46	closed	closed	ADJ
m-386	1173	47	hyperspheres	hypersphere	NOUN
m-386	1173	48	rs	rs	ADV
m-386	1173	49	with	with	ADP
m-386	1173	50	leading	lead	VERB
m-386	1173	51	coefficients	coefficient	NOUN
m-386	1173	52	unity	unity	NOUN
m-386	1173	53	.	.	PUNCT
m-386	1174	1	the	the	DET
m-386	1174	2	effectiveness	effectiveness	NOUN
m-386	1174	3	of	of	ADP
m-386	1174	4	transposed	transpose	VERB
m-386	1174	5	basic	basic	ADJ
m-386	1174	6	set	set	NOUN
m-386	1174	7	of	of	ADP
m-386	1174	8	polynomials	polynomial	NOUN
m-386	1174	9	given	give	VERB
m-386	1174	10	in	in	ADP
m-386	1174	11	following	follow	VERB
m-386	1174	12	theorem	theorem	ADJ
m-386	1174	13	:	:	PUNCT
m-386	1174	14	lemma	lemma	PROPN
m-386	1174	15	(	(	PUNCT
m-386	1174	16	4.1	4.1	NUM
m-386	1174	17	):	):	PUNCT
m-386	1174	18	suppose	suppose	VERB
m-386	1174	19	that	that	X
m-386	1174	20			PROPN
m-386	1174	21	,	,	PUNCT
m-386	1174	22	(	(	PUNCT
m-386	1174	23	,	,	PUNCT
m-386	1174	24	)	)	PUNCT
m-386	1174	25	m	m	VERB
m-386	1175	1	np	np	INTJ
m-386	1176	1	z	z	NOUN
m-386	1176	2	w	w	AUX
m-386	1176	3	be	be	AUX
m-386	1176	4	simple	simple	ADJ
m-386	1176	5	monic	monic	ADJ
m-386	1176	6	set	set	VERB
m-386	1176	7	with	with	ADP
m-386	1176	8	leading	lead	VERB
m-386	1176	9	coefficients	coefficient	NOUN
m-386	1176	10	unity	unity	NOUN
m-386	1176	11	effective	effective	ADJ
m-386	1176	12	in	in	ADP
m-386	1176	13	the	the	DET
m-386	1176	14	hyperspheres	hypersphere	NOUN
m-386	1176	15	rs	rs	NOUN
m-386	1176	16	,	,	PUNCT
m-386	1176	17	then	then	ADV
m-386	1176	18	the	the	DET
m-386	1176	19	transposed	transpose	VERB
m-386	1176	20	set	set	NOUN
m-386	1176	21			PROPN
m-386	1176	22			PROPN
m-386	1176	23	,	,	PUNCT
m-386	1176	24	(	(	PUNCT
m-386	1176	25	,	,	PUNCT
m-386	1176	26	)	)	PUNCT
m-386	1176	27	m	m	VERB
m-386	1177	1	np	np	INTJ
m-386	1177	2	z	z	NOUN
m-386	1177	3	w	w	NOUN
m-386	1177	4	is	be	AUX
m-386	1177	5	effective	effective	ADJ
m-386	1177	6	in	in	ADP
m-386	1177	7	the	the	DET
m-386	1177	8	closed	close	VERB
m-386	1177	9	hyperspheres	hypersphere	NOUN
m-386	1177	10	1	1	NUM
m-386	1177	11	r	r	NOUN
m-386	1177	12	s	s	PROPN
m-386	1177	13	.	.	PUNCT
m-386	1178	1	let	let	VERB
m-386	1178	2			PROPN
m-386	1178	3			PROPN
m-386	1178	4	,	,	PUNCT
m-386	1178	5	(	(	PUNCT
m-386	1178	6	,	,	PUNCT
m-386	1178	7	)	)	PUNCT
m-386	1179	1	m	m	VERB
m-386	1179	2	np	np	INTJ
m-386	1179	3	z	z	NOUN
m-386	1179	4	w	w	NOUN
m-386	1179	5	settheofpolynomialsofsetinversetransposedabe	settheofpolynomialsofsetinversetransposedabe	PROPN
m-386	1179	6			PROPN
m-386	1179	7			PROPN
m-386	1179	8	,	,	PUNCT
m-386	1179	9	(	(	PUNCT
m-386	1179	10	,	,	PUNCT
m-386	1179	11	)	)	PUNCT
m-386	1180	1	m	m	VERB
m-386	1180	2	np	np	INTJ
m-386	1180	3	z	z	NOUN
m-386	1180	4	w	w	PROPN
m-386	1181	1	where	where	SCONJ
m-386	1181	2	(	(	PUNCT
m-386	1181	3	,	,	PUNCT
m-386	1181	4	)	)	PUNCT
m-386	1181	5	(	(	PUNCT
m-386	1181	6	,	,	PUNCT
m-386	1181	7	)	)	PUNCT
m-386	1181	8	,	,	PUNCT
m-386	1181	9	,	,	PUNCT
m-386	1181	10	,	,	PUNCT
m-386	1181	11	,	,	PUNCT
m-386	1181	12	,	,	PUNCT
m-386	1181	13	(	(	PUNCT
m-386	1181	14	,	,	PUNCT
m-386	1181	15	)	)	PUNCT
m-386	1181	16	0	0	NUM
m-386	1182	1	(	(	PUNCT
m-386	1182	2	,	,	PUNCT
m-386	1182	3	)	)	PUNCT
m-386	1182	4	0	0	NUM
m-386	1183	1	(	(	PUNCT
m-386	1183	2	,	,	PUNCT
m-386	1183	3	)	)	PUNCT
m-386	1183	4	m	m	VERB
m-386	1183	5	n	n	VERB
m-386	1183	6	m	m	VERB
m-386	1183	7	n	n	ADJ
m-386	1183	8	h	h	NOUN
m-386	1184	1	k	k	NOUN
m-386	1184	2	h	h	NOUN
m-386	1185	1	k	k	NOUN
m-386	1185	2	m	m	VERB
m-386	1186	1	n	n	VERB
m-386	1186	2	h	h	NOUN
m-386	1187	1	k	k	NOUN
m-386	1187	2	m	m	VERB
m-386	1187	3	n	n	VERB
m-386	1187	4	m	m	VERB
m-386	1187	5	n	n	ADJ
m-386	1187	6	h	h	NOUN
m-386	1188	1	k	k	NOUN
m-386	1188	2	h	h	NOUN
m-386	1189	1	k	k	NOUN
m-386	1189	2	h	h	PROPN
m-386	1190	1	k	k	PROPN
m-386	1190	2	p	p	X
m-386	1190	3	z	z	PROPN
m-386	1190	4	w	w	PROPN
m-386	1190	5	p	p	PROPN
m-386	1190	6	z	z	PROPN
m-386	1190	7	w	w	PROPN
m-386	1190	8	p	p	PROPN
m-386	1190	9	z	z	PROPN
m-386	1190	10	w	w	NOUN
m-386	1191	1			NUM
m-386	1191	2			NUM
m-386	1192	1			NUM
m-386	1192	2			X
m-386	1192	3			X
m-386	1192	4	.	.	PUNCT
m-386	1193	1	ijo	ijo	PROPN
m-386	1193	2	international	international	PROPN
m-386	1193	3	journal	journal	PROPN
m-386	1193	4	of	of	ADP
m-386	1193	5	mathematics	mathematics	PROPN
m-386	1193	6	volume	volume	PROPN
m-386	1193	7	3|	3|	NUM
m-386	1193	8	issue	issue	NOUN
m-386	1193	9	12|	12|	NUM
m-386	1193	10	december	december	PROPN
m-386	1193	11	|	|	NOUN
m-386	1193	12	2020	2020	NUM
m-386	1193	13	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	1193	14	14	14	NUM
m-386	1193	15	setinversetransposedtheeffectiveness	setinversetransposedtheeffectiveness	NOUN
m-386	1193	16			PROPN
m-386	1193	17			PROPN
m-386	1193	18	,	,	PUNCT
m-386	1193	19	(	(	PUNCT
m-386	1193	20	,	,	PUNCT
m-386	1193	21	)	)	PUNCT
m-386	1193	22	m	m	VERB
m-386	1193	23	np	np	INTJ
m-386	1193	24	z	z	NOUN
m-386	1193	25	w	w	NOUN
m-386	1193	26	in	in	ADP
m-386	1193	27	clospolynomialsof	clospolynomialsof	NOUN
m-386	1193	28	ed	ed	PROPN
m-386	1193	29	hyperspheres	hypersphere	NOUN
m-386	1193	30	1	1	NUM
m-386	1193	31	;	;	PUNCT
m-386	1193	32	0	0	NUM
m-386	1193	33	r	r	NOUN
m-386	1193	34	s	s	NOUN
m-386	1193	35	r	r	NOUN
m-386	1193	36			NOUN
m-386	1193	37	with	with	ADP
m-386	1193	38	leading	lead	VERB
m-386	1193	39	coefficients	coefficient	NOUN
m-386	1193	40	unity	unity	NOUN
m-386	1193	41	set	set	NOUN
m-386	1193	42	,	,	PUNCT
m-386	1193	43	whenever	whenever	SCONJ
m-386	1193	44	the	the	DET
m-386	1193	45	basic	basic	ADJ
m-386	1193	46			PROPN
m-386	1193	47			PROPN
m-386	1193	48	,	,	PUNCT
m-386	1193	49	(	(	PUNCT
m-386	1193	50	,	,	PUNCT
m-386	1193	51	)	)	PUNCT
m-386	1193	52	m	m	VERB
m-386	1193	53	np	np	INTJ
m-386	1193	54	z	z	NOUN
m-386	1193	55	w	w	NOUN
m-386	1193	56	is	be	AUX
m-386	1193	57	effective	effective	ADJ
m-386	1193	58	in	in	ADP
m-386	1193	59	the	the	DET
m-386	1193	60	same	same	ADJ
m-386	1193	61	region	region	NOUN
m-386	1193	62	under	under	ADP
m-386	1193	63	the	the	DET
m-386	1193	64	same	same	ADJ
m-386	1193	65	condition	condition	NOUN
m-386	1193	66	as	as	SCONJ
m-386	1193	67	follows	follow	VERB
m-386	1193	68	:	:	PUNCT
m-386	1193	69	lemma	lemma	PROPN
m-386	1193	70	(	(	PUNCT
m-386	1193	71	4.2	4.2	NUM
m-386	1193	72	):	):	PUNCT
m-386	1193	73	suppose	suppose	VERB
m-386	1193	74	that	that	X
m-386	1193	75			PROPN
m-386	1193	76	,	,	PUNCT
m-386	1193	77	(	(	PUNCT
m-386	1193	78	,	,	PUNCT
m-386	1193	79	)	)	PUNCT
m-386	1193	80	m	m	VERB
m-386	1194	1	np	np	INTJ
m-386	1195	1	z	z	NOUN
m-386	1195	2	w	w	AUX
m-386	1195	3	be	be	AUX
m-386	1195	4	simple	simple	ADJ
m-386	1195	5	monic	monic	ADJ
m-386	1195	6	set	set	VERB
m-386	1195	7	with	with	ADP
m-386	1195	8	leading	lead	VERB
m-386	1195	9	coefficients	coefficient	NOUN
m-386	1195	10	unity	unity	NOUN
m-386	1195	11	effective	effective	ADJ
m-386	1195	12	in	in	ADP
m-386	1195	13	the	the	DET
m-386	1195	14	hyperspheres	hypersphere	NOUN
m-386	1195	15	rs	rs	NOUN
m-386	1195	16	,	,	PUNCT
m-386	1195	17	then	then	ADV
m-386	1195	18	the	the	DET
m-386	1195	19	transposed	transpose	VERB
m-386	1195	20	inverse	inverse	NOUN
m-386	1195	21	set	set	VERB
m-386	1195	22			PROPN
m-386	1195	23			PROPN
m-386	1195	24	,	,	PUNCT
m-386	1195	25	(	(	PUNCT
m-386	1195	26	,	,	PUNCT
m-386	1195	27	)	)	PUNCT
m-386	1195	28	m	m	VERB
m-386	1196	1	np	np	INTJ
m-386	1196	2	z	z	NOUN
m-386	1196	3	w	w	NOUN
m-386	1196	4	is	be	AUX
m-386	1196	5	effective	effective	ADJ
m-386	1196	6	in	in	ADP
m-386	1196	7	the	the	DET
m-386	1196	8	closed	close	VERB
m-386	1196	9	hyperspheres	hypersphere	NOUN
m-386	1196	10	1	1	NUM
m-386	1196	11	r	r	NOUN
m-386	1196	12	s	s	PROPN
m-386	1196	13	.	.	PUNCT
m-386	1197	1	let	let	VERB
m-386	1197	2			PRON
m-386	1197	3			PROPN
m-386	1197	4	(	(	PUNCT
m-386	1197	5	)	)	PUNCT
m-386	1197	6	,	,	PUNCT
m-386	1197	7	(	(	PUNCT
m-386	1197	8	,	,	PUNCT
m-386	1197	9	)	)	PUNCT
m-386	1197	10	;	;	PUNCT
m-386	1197	11	1,2i	1,2i	NUM
m-386	1197	12	m	m	VERB
m-386	1197	13	np	np	ADP
m-386	1197	14	z	z	PROPN
m-386	1197	15	w	w	PROPN
m-386	1198	1	i	i	PRON
m-386	1198	2			VERB
m-386	1198	3	are	be	AUX
m-386	1198	4	basic	basic	ADJ
m-386	1198	5	sets	set	NOUN
m-386	1198	6	of	of	ADP
m-386	1198	7	polynomials	polynomial	NOUN
m-386	1198	8	of	of	ADP
m-386	1198	9	two	two	NUM
m-386	1198	10	complex	complex	ADJ
m-386	1198	11	variables	variable	NOUN
m-386	1198	12	and	and	CCONJ
m-386	1198	13	the	the	DET
m-386	1198	14	set	set	NOUN
m-386	1198	15			PROPN
m-386	1198	16			PROPN
m-386	1198	17	,	,	PUNCT
m-386	1198	18	(	(	PUNCT
m-386	1198	19	,	,	PUNCT
m-386	1198	20	)	)	PUNCT
m-386	1198	21	m	m	PROPN
m-386	1198	22	nq	nq	PROPN
m-386	1198	23	z	z	PROPN
m-386	1198	24	w	w	PROPN
m-386	1198	25	is	be	AUX
m-386	1198	26	called	call	VERB
m-386	1198	27	the	the	DET
m-386	1198	28	product	product	NOUN
m-386	1198	29	set	set	NOUN
m-386	1198	30	of	of	ADP
m-386	1198	31	the	the	DET
m-386	1198	32	two	two	NUM
m-386	1198	33	sets	set	NOUN
m-386	1198	34			PRON
m-386	1198	35			PROPN
m-386	1198	36	(	(	PUNCT
m-386	1198	37	)	)	PUNCT
m-386	1198	38	,	,	PUNCT
m-386	1198	39	(	(	PUNCT
m-386	1198	40	,	,	PUNCT
m-386	1198	41	)	)	PUNCT
m-386	1198	42	;	;	PUNCT
m-386	1198	43	1,2i	1,2i	NUM
m-386	1198	44	m	m	VERB
m-386	1198	45	np	np	ADP
m-386	1198	46	z	z	PROPN
m-386	1199	1	w	w	PROPN
m-386	1200	1	i	i	PRON
m-386	1200	2			VERB
m-386	1200	3	,	,	PUNCT
m-386	1200	4			PROPN
m-386	1201	1			PROPN
m-386	1201	2			PROPN
m-386	1201	3			ADV
m-386	1201	4	(1	(1	NOUN
m-386	1201	5	)	)	PUNCT
m-386	1201	6	(	(	PUNCT
m-386	1201	7	2	2	NUM
m-386	1201	8	)	)	PUNCT
m-386	1201	9	,	,	PUNCT
m-386	1201	10	,	,	PUNCT
m-386	1201	11	,	,	PUNCT
m-386	1201	12	(	(	PUNCT
m-386	1201	13	,	,	PUNCT
m-386	1201	14	)	)	PUNCT
m-386	1201	15	(	(	PUNCT
m-386	1201	16	,	,	PUNCT
m-386	1201	17	)	)	PUNCT
m-386	1201	18	(	(	PUNCT
m-386	1201	19	,	,	PUNCT
m-386	1201	20	)	)	PUNCT
m-386	1202	1	m	m	VERB
m-386	1202	2	n	n	VERB
m-386	1202	3	m	m	VERB
m-386	1202	4	n	n	ADV
m-386	1202	5	m	m	NOUN
m-386	1202	6	nq	nq	PROPN
m-386	1202	7	z	z	PROPN
m-386	1202	8	w	w	PROPN
m-386	1203	1	p	p	PROPN
m-386	1203	2	z	z	PROPN
m-386	1203	3	w	w	PROPN
m-386	1203	4	p	p	PROPN
m-386	1203	5	z	z	NOUN
m-386	1203	6	w	w	NOUN
m-386	1203	7	,	,	PUNCT
m-386	1203	8	now	now	ADV
m-386	1203	9	,	,	PUNCT
m-386	1203	10	the	the	DET
m-386	1203	11	effectiveness	effectiveness	NOUN
m-386	1203	12	of	of	ADP
m-386	1203	13	transposed	transpose	VERB
m-386	1203	14	product	product	NOUN
m-386	1203	15	basic	basic	ADJ
m-386	1203	16	set	set	NOUN
m-386	1203	17	of	of	ADP
m-386	1203	18	polynomials	polynomial	NOUN
m-386	1203	19	of	of	ADP
m-386	1203	20	two	two	NUM
m-386	1203	21	complex	complex	ADJ
m-386	1203	22	variables	variable	NOUN
m-386	1203	23			PROPN
m-386	1203	24			PROPN
m-386	1203	25			PROPN
m-386	1203	26			ADV
m-386	1203	27	(1	(1	NOUN
m-386	1203	28	)	)	PUNCT
m-386	1203	29	(	(	PUNCT
m-386	1203	30	2	2	NUM
m-386	1203	31	)	)	PUNCT
m-386	1203	32	,	,	PUNCT
m-386	1203	33	,	,	PUNCT
m-386	1203	34	,	,	PUNCT
m-386	1203	35	(	(	PUNCT
m-386	1203	36	,	,	PUNCT
m-386	1203	37	)	)	PUNCT
m-386	1203	38	(	(	PUNCT
m-386	1203	39	,	,	PUNCT
m-386	1203	40	)	)	PUNCT
m-386	1203	41	(	(	PUNCT
m-386	1203	42	,	,	PUNCT
m-386	1203	43	)	)	PUNCT
m-386	1203	44	m	m	VERB
m-386	1203	45	n	n	VERB
m-386	1203	46	m	m	VERB
m-386	1203	47	n	n	ADV
m-386	1203	48	m	m	NOUN
m-386	1203	49	nq	nq	PROPN
m-386	1203	50	z	z	PROPN
m-386	1203	51	w	w	PROPN
m-386	1204	1	p	p	PROPN
m-386	1204	2	z	z	PROPN
m-386	1204	3	w	w	PROPN
m-386	1204	4	p	p	PROPN
m-386	1204	5	z	z	NOUN
m-386	1204	6	w	w	NOUN
m-386	1204	7	in	in	ADP
m-386	1204	8	closed	closed	ADJ
m-386	1204	9	hyperspheres	hypersphere	NOUN
m-386	1204	10	1	1	NUM
m-386	1204	11	r	r	NOUN
m-386	1204	12	s	s	PRON
m-386	1204	13	whenever	whenever	SCONJ
m-386	1204	14	the	the	DET
m-386	1204	15	sets	set	NOUN
m-386	1204	16			PROPN
m-386	1204	17			PROPN
m-386	1204	18	(	(	PUNCT
m-386	1204	19	)	)	PUNCT
m-386	1204	20	,	,	PUNCT
m-386	1204	21	(	(	PUNCT
m-386	1204	22	,	,	PUNCT
m-386	1204	23	)	)	PUNCT
m-386	1204	24	;	;	PUNCT
m-386	1205	1	1,2i	1,2i	NUM
m-386	1205	2	m	m	VERB
m-386	1205	3	np	np	ADP
m-386	1205	4	z	z	PROPN
m-386	1205	5	w	w	PROPN
m-386	1206	1	i	i	PRON
m-386	1206	2			NOUN
m-386	1206	3	closedineffectiveareones	closedineffectiveareone	NOUN
m-386	1206	4	,	,	PUNCT
m-386	1206	5	are	be	AUX
m-386	1206	6	simple	simple	ADJ
m-386	1206	7	monic	monic	ADJ
m-386	1206	8	hyperspheres	hypersphere	NOUN
m-386	1206	9	rs	r	VERB
m-386	1206	10	with	with	ADP
m-386	1206	11	leading	lead	VERB
m-386	1206	12	coefficients	coefficient	NOUN
m-386	1206	13	unity	unity	NOUN
m-386	1206	14	,	,	PUNCT
m-386	1206	15	i.e.	i.e.	X
m-386	1206	16	(	(	PUNCT
m-386	1206	17	)	)	PUNCT
m-386	1206	18	,	,	PUNCT
m-386	1206	19	,	,	PUNCT
m-386	1206	20	1	1	NUM
m-386	1206	21	;	;	PUNCT
m-386	1206	22	1,2i	1,2i	NUM
m-386	1206	23	m	m	VERB
m-386	1206	24	n	n	VERB
m-386	1206	25	m	m	VERB
m-386	1206	26	np	np	INTJ
m-386	1206	27	i	i	NOUN
m-386	1206	28			ADJ
m-386	1206	29	.	.	PUNCT
m-386	1207	1	lemma	lemma	PROPN
m-386	1207	2	(	(	PUNCT
m-386	1207	3	4.3	4.3	NUM
m-386	1207	4	):	):	PUNCT
m-386	1207	5	suppose	suppose	VERB
m-386	1207	6	that	that	X
m-386	1207	7			PROPN
m-386	1207	8	(	(	PUNCT
m-386	1207	9	)	)	PUNCT
m-386	1207	10	,	,	PUNCT
m-386	1207	11	(	(	PUNCT
m-386	1207	12	,	,	PUNCT
m-386	1207	13	)	)	PUNCT
m-386	1207	14	;	;	PUNCT
m-386	1207	15	1,2i	1,2i	NUM
m-386	1207	16	m	m	VERB
m-386	1207	17	np	np	ADP
m-386	1207	18	z	z	PROPN
m-386	1207	19	w	w	PROPN
m-386	1208	1	i	i	PRON
m-386	1208	2			VERB
m-386	1208	3	be	be	VERB
m-386	1208	4	simple	simple	ADJ
m-386	1208	5	monic	monic	ADJ
m-386	1208	6	set	set	VERB
m-386	1208	7	with	with	ADP
m-386	1208	8	leading	lead	VERB
m-386	1208	9	coefficients	coefficient	NOUN
m-386	1208	10	unity	unity	NOUN
m-386	1208	11	effective	effective	ADJ
m-386	1208	12	in	in	ADP
m-386	1208	13	the	the	DET
m-386	1208	14	hyperspheres	hypersphere	NOUN
m-386	1208	15	rs	rs	ADP
m-386	1208	16	transposedthethen	transposedthethen	ADV
m-386	1208	17	,	,	PUNCT
m-386	1208	18	product	product	NOUN
m-386	1208	19	set	set	VERB
m-386	1208	20			PROPN
m-386	1208	21			PROPN
m-386	1208	22	,	,	PUNCT
m-386	1208	23	(	(	PUNCT
m-386	1208	24	,	,	PUNCT
m-386	1208	25	)	)	PUNCT
m-386	1208	26	m	m	PROPN
m-386	1208	27	nq	nq	PROPN
m-386	1208	28	z	z	PROPN
m-386	1208	29	w	w	PROPN
m-386	1208	30	is	be	AUX
m-386	1208	31	effective	effective	ADJ
m-386	1208	32	in	in	ADP
m-386	1208	33	the	the	DET
m-386	1208	34	closed	close	VERB
m-386	1208	35	hyperspheres	hypersphere	NOUN
m-386	1208	36	1	1	NUM
m-386	1208	37	r	r	NOUN
m-386	1208	38	s	s	PROPN
m-386	1208	39	.	.	PUNCT
m-386	1209	1	effectiveness	effectiveness	NOUN
m-386	1209	2	of	of	ADP
m-386	1209	3	similar	similar	ADJ
m-386	1209	4	transposed	transpose	VERB
m-386	1209	5	setnow	setnow	NOUN
m-386	1209	6	,	,	PUNCT
m-386	1209	7	we	we	PRON
m-386	1209	8	give	give	VERB
m-386	1209	9			PROPN
m-386	1209	10			PROPN
m-386	1209	11	,	,	PUNCT
m-386	1209	12	(	(	PUNCT
m-386	1209	13	,	,	PUNCT
m-386	1209	14	)	)	PUNCT
m-386	1209	15	m	m	VERB
m-386	1209	16	nu	nu	INTJ
m-386	1209	17	z	z	PROPN
m-386	1209	18	w	w	PROPN
m-386	1209	19	closedin	closedin	PROPN
m-386	1209	20	hyperspheres	hypersphere	NOUN
m-386	1209	21	1	1	NUM
m-386	1209	22	r	r	NOUN
m-386	1209	23	s	s	PRON
m-386	1209	24	whenever	whenever	SCONJ
m-386	1209	25	the	the	DET
m-386	1209	26	transposed	transpose	VERB
m-386	1209	27	simple	simple	ADJ
m-386	1209	28	basic	basic	ADJ
m-386	1209	29	sets	set	NOUN
m-386	1209	30			PROPN
m-386	1209	31			PROPN
m-386	1209	32	(	(	PUNCT
m-386	1209	33	)	)	PUNCT
m-386	1209	34	,	,	PUNCT
m-386	1209	35	(	(	PUNCT
m-386	1209	36	,	,	PUNCT
m-386	1209	37	)	)	PUNCT
m-386	1209	38	;	;	PUNCT
m-386	1209	39	1,2i	1,2i	NUM
m-386	1209	40	m	m	VERB
m-386	1209	41	np	np	ADP
m-386	1209	42	z	z	PROPN
m-386	1209	43	w	w	PROPN
m-386	1210	1	i	i	PRON
m-386	1210	2			VERB
m-386	1210	3	are	be	AUX
m-386	1210	4	hyperspheresclosedineffective	hyperspheresclosedineffective	ADJ
m-386	1210	5	1	1	NUM
m-386	1210	6	r	r	NOUN
m-386	1210	7	s	s	PRON
m-386	1210	8	whenever	whenever	SCONJ
m-386	1210	9	the	the	DET
m-386	1210	10	simple	simple	ADJ
m-386	1210	11	basic	basic	ADJ
m-386	1210	12	setsand	setsand	NOUN
m-386	1210	13	also	also	ADV
m-386	1210	14	,	,	PUNCT
m-386	1210	15			PROPN
m-386	1210	16			PROPN
m-386	1210	17	(	(	PUNCT
m-386	1210	18	)	)	PUNCT
m-386	1210	19	,	,	PUNCT
m-386	1210	20	(	(	PUNCT
m-386	1210	21	,	,	PUNCT
m-386	1210	22	)	)	PUNCT
m-386	1211	1	i	i	PRON
m-386	1211	2	m	m	VERB
m-386	1211	3	np	np	INTJ
m-386	1211	4	z	z	PROPN
m-386	1211	5	w	w	NOUN
m-386	1211	6	are	be	AUX
m-386	1211	7	effective	effective	ADJ
m-386	1211	8	in	in	ADP
m-386	1211	9	open	open	ADJ
m-386	1211	10	hyperspheres	hypersphere	NOUN
m-386	1211	11	rs	rs	ADV
m-386	1211	12	with	with	ADP
m-386	1211	13	leading	lead	VERB
m-386	1211	14	coefficients	coefficient	NOUN
m-386	1211	15	unity	unity	NOUN
m-386	1211	16	,	,	PUNCT
m-386	1211	17	(	(	PUNCT
m-386	1211	18	)	)	PUNCT
m-386	1211	19	,	,	PUNCT
m-386	1211	20	,	,	PUNCT
m-386	1211	21	1i	1i	NOUN
m-386	1211	22	m	m	VERB
m-386	1211	23	n	n	VERB
m-386	1211	24	m	m	VERB
m-386	1211	25	np	np	INTJ
m-386	1211	26			ADJ
m-386	1211	27	;	;	PUNCT
m-386	1211	28	1	1	NUM
m-386	1211	29	,	,	PUNCT
m-386	1211	30	2i	2i	NOUN
m-386	1211	31			NUM
m-386	1211	32	.	.	PUNCT
m-386	1212	1	theorem	theorem	NOUN
m-386	1212	2	(	(	PUNCT
m-386	1212	3	4.1	4.1	NUM
m-386	1212	4	):	):	PUNCT
m-386	1212	5	suppose	suppose	VERB
m-386	1212	6	that	that	X
m-386	1212	7			PROPN
m-386	1212	8	(	(	PUNCT
m-386	1212	9	)	)	PUNCT
m-386	1212	10	,	,	PUNCT
m-386	1212	11	(	(	PUNCT
m-386	1212	12	,	,	PUNCT
m-386	1212	13	)	)	PUNCT
m-386	1212	14	;	;	PUNCT
m-386	1212	15	1,2i	1,2i	NUM
m-386	1212	16	m	m	VERB
m-386	1212	17	np	np	ADP
m-386	1212	18	z	z	PROPN
m-386	1212	19	w	w	PROPN
m-386	1213	1	i	i	PRON
m-386	1213	2			VERB
m-386	1213	3	be	be	VERB
m-386	1213	4	two	two	NUM
m-386	1213	5	simple	simple	ADJ
m-386	1213	6	monic	monic	ADJ
m-386	1213	7	sets	set	NOUN
m-386	1213	8	with	with	ADP
m-386	1213	9	leading	lead	VERB
m-386	1213	10	coefficients	coefficient	NOUN
m-386	1213	11	unity	unity	NOUN
m-386	1213	12	effective	effective	ADJ
m-386	1213	13	in	in	ADP
m-386	1213	14	the	the	DET
m-386	1213	15	hyperspheres	hypersphere	NOUN
m-386	1213	16	rs	rs	NOUN
m-386	1213	17	,	,	PUNCT
m-386	1213	18	then	then	ADV
m-386	1213	19	the	the	DET
m-386	1213	20	similar	similar	ADJ
m-386	1213	21	transposed	transpose	VERB
m-386	1213	22	set	set	NOUN
m-386	1213	23			PROPN
m-386	1213	24			PROPN
m-386	1213	25	,	,	PUNCT
m-386	1213	26	(	(	PUNCT
m-386	1213	27	,	,	PUNCT
m-386	1213	28	)	)	PUNCT
m-386	1213	29	m	m	VERB
m-386	1213	30	nu	nu	PROPN
m-386	1213	31	z	z	PROPN
m-386	1213	32	w	w	PROPN
m-386	1213	33	is	be	AUX
m-386	1213	34	effective	effective	ADJ
m-386	1213	35	in	in	ADP
m-386	1213	36	the	the	DET
m-386	1213	37	closed	close	VERB
m-386	1213	38	hyperspheres	hypersphere	NOUN
m-386	1213	39	1	1	NUM
m-386	1213	40	r	r	NOUN
m-386	1213	41	s	s	PROPN
m-386	1213	42	.	.	PUNCT
m-386	1214	1	the	the	DET
m-386	1214	2	inverse	inverse	NOUN
m-386	1214	3	set	set	NOUN
m-386	1214	4	of	of	ADP
m-386	1214	5	polynomials	polynomial	NOUN
m-386	1214	6	of	of	ADP
m-386	1214	7	two	two	NUM
m-386	1214	8	complex	complex	ADJ
m-386	1214	9	variables	variable	NOUN
m-386	1214	10			PROPN
m-386	1214	11			PROPN
m-386	1214	12	,	,	PUNCT
m-386	1214	13	(	(	PUNCT
m-386	1214	14	,	,	PUNCT
m-386	1214	15	)	)	PUNCT
m-386	1214	16	m	m	VERB
m-386	1214	17	nu	nu	INTJ
m-386	1214	18	z	z	PROPN
m-386	1214	19	w	w	PROPN
m-386	1214	20	as	as	SCONJ
m-386	1214	21	follows	follow	VERB
m-386	1214	22	:	:	PUNCT
m-386	1214	23			PROPN
m-386	1214	24			PROPN
m-386	1214	25			PROPN
m-386	1214	26			ADV
m-386	1214	27			ADV
m-386	1214	28	(1	(1	VERB
m-386	1214	29	)	)	PUNCT
m-386	1214	30	(	(	PUNCT
m-386	1214	31	2	2	NUM
m-386	1214	32	)	)	PUNCT
m-386	1214	33	(	(	PUNCT
m-386	1214	34	1	1	NUM
m-386	1214	35	)	)	PUNCT
m-386	1214	36	,	,	PUNCT
m-386	1214	37	,	,	PUNCT
m-386	1214	38	,	,	PUNCT
m-386	1214	39	,	,	PUNCT
m-386	1214	40	(	(	PUNCT
m-386	1214	41	,	,	PUNCT
m-386	1214	42	)	)	PUNCT
m-386	1214	43	(	(	PUNCT
m-386	1214	44	,	,	PUNCT
m-386	1214	45	)	)	PUNCT
m-386	1214	46	(	(	PUNCT
m-386	1214	47	,	,	PUNCT
m-386	1214	48	)	)	PUNCT
m-386	1214	49	(	(	PUNCT
m-386	1214	50	,	,	PUNCT
m-386	1214	51	)	)	PUNCT
m-386	1214	52	m	m	VERB
m-386	1214	53	n	n	VERB
m-386	1214	54	m	m	VERB
m-386	1214	55	n	n	PRON
m-386	1214	56	m	m	NOUN
m-386	1214	57	n	n	NOUN
m-386	1214	58	m	m	NOUN
m-386	1214	59	nu	nu	X
m-386	1214	60	z	z	PROPN
m-386	1214	61	w	w	PROPN
m-386	1214	62	p	p	PROPN
m-386	1214	63	z	z	PROPN
m-386	1214	64	w	w	PROPN
m-386	1214	65	p	p	PROPN
m-386	1214	66	z	z	PROPN
m-386	1214	67	w	w	PROPN
m-386	1214	68	p	p	PROPN
m-386	1214	69	z	z	AUX
m-386	1214	70	w	w	VERB
m-386	1214	71	ijo	ijo	PROPN
m-386	1214	72	international	international	PROPN
m-386	1214	73	journal	journal	PROPN
m-386	1214	74	of	of	ADP
m-386	1214	75	mathematics	mathematics	PROPN
m-386	1214	76	volume	volume	PROPN
m-386	1214	77	3|	3|	NUM
m-386	1214	78	issue	issue	NOUN
m-386	1215	1	12|	12|	NUM
m-386	1215	2	december	december	PROPN
m-386	1215	3	|	|	NOUN
m-386	1215	4	2020	2020	NUM
m-386	1215	5	http://www.ijojournals.com/index.php/m/index	http://www.ijojournals.com/index.php/m/index	NOUN
m-386	1215	6	15	15	NUM
m-386	1215	7	now	now	ADV
m-386	1215	8	,	,	PUNCT
m-386	1215	9	we	we	PRON
m-386	1215	10	give	give	VERB
m-386	1215	11	effectiveness	effectiveness	NOUN
m-386	1215	12	of	of	ADP
m-386	1215	13	inverse	inverse	NOUN
m-386	1215	14	similar	similar	ADJ
m-386	1215	15	transposed	transpose	VERB
m-386	1215	16	set	set	NOUN
m-386	1215	17			PROPN
m-386	1215	18			PROPN
m-386	1215	19	,	,	PUNCT
m-386	1215	20	(	(	PUNCT
m-386	1215	21	,	,	PUNCT
m-386	1215	22	)	)	PUNCT
m-386	1215	23	m	m	VERB
m-386	1215	24	nu	nu	INTJ
m-386	1215	25	z	z	PROPN
m-386	1215	26	w	w	PROPN
m-386	1215	27	in	in	ADP
m-386	1215	28	closed	closed	ADJ
m-386	1215	29	hyperspheres	hypersphere	NOUN
m-386	1215	30	1	1	NUM
m-386	1215	31	r	r	NOUN
m-386	1215	32	s	s	NOUN
m-386	1215	33	,	,	PUNCT
m-386	1215	34	whenever	whenever	SCONJ
m-386	1215	35	the	the	DET
m-386	1215	36	simple	simple	ADJ
m-386	1215	37	basic	basic	ADJ
m-386	1215	38	sets	set	NOUN
m-386	1215	39			PROPN
m-386	1215	40			PROPN
m-386	1215	41	(	(	PUNCT
m-386	1215	42	)	)	PUNCT
m-386	1215	43	,	,	PUNCT
m-386	1215	44	(	(	PUNCT
m-386	1215	45	,	,	PUNCT
m-386	1215	46	)	)	PUNCT
m-386	1215	47	;	;	PUNCT
m-386	1215	48	1,2i	1,2i	NUM
m-386	1215	49	m	m	VERB
m-386	1215	50	np	np	ADP
m-386	1215	51	z	z	PROPN
m-386	1215	52	w	w	PROPN
m-386	1216	1	i	i	PRON
m-386	1216	2			VERB
m-386	1216	3	are	be	AUX
m-386	1216	4	effective	effective	ADJ
m-386	1216	5	in	in	ADP
m-386	1216	6	closed	closed	ADJ
m-386	1216	7	hyperspheres	hypersphere	NOUN
m-386	1216	8	rs	rs	ADV
m-386	1216	9	with	with	ADP
m-386	1216	10	leading	lead	VERB
m-386	1216	11	coefficients	coefficient	NOUN
m-386	1216	12	unity	unity	NOUN
m-386	1216	13	,	,	PUNCT
m-386	1216	14	i.e.	i.e.	X
m-386	1216	15	(	(	PUNCT
m-386	1216	16	)	)	PUNCT
m-386	1216	17	,	,	PUNCT
m-386	1216	18	,	,	PUNCT
m-386	1216	19	1	1	NUM
m-386	1216	20	;	;	PUNCT
m-386	1216	21	1,2i	1,2i	NUM
m-386	1216	22	m	m	VERB
m-386	1216	23	n	n	VERB
m-386	1216	24	m	m	VERB
m-386	1216	25	np	np	INTJ
m-386	1216	26	i	i	NOUN
m-386	1216	27			PROPN
m-386	1216	28	.	.	PUNCT
m-386	1217	1	theorem	theorem	NOUN
m-386	1217	2	(	(	PUNCT
m-386	1217	3	4.2	4.2	NUM
m-386	1217	4	):	):	PUNCT
m-386	1217	5	suppose	suppose	VERB
m-386	1217	6	that	that	X
m-386	1217	7			PROPN
m-386	1217	8	(	(	PUNCT
m-386	1217	9	)	)	PUNCT
m-386	1217	10	,	,	PUNCT
m-386	1217	11	(	(	PUNCT
m-386	1217	12	,	,	PUNCT
m-386	1217	13	)	)	PUNCT
m-386	1217	14	;	;	PUNCT
m-386	1217	15	1,2i	1,2i	NUM
m-386	1217	16	m	m	VERB
m-386	1217	17	np	np	ADP
m-386	1217	18	z	z	PROPN
m-386	1217	19	w	w	PROPN
m-386	1218	1	i	i	PRON
m-386	1218	2			VERB
m-386	1218	3	be	be	VERB
m-386	1218	4	two	two	NUM
m-386	1218	5	simple	simple	ADJ
m-386	1218	6	monic	monic	ADJ
m-386	1218	7	sets	set	NOUN
m-386	1218	8	with	with	ADP
m-386	1218	9	leading	leading	ADJ
m-386	1218	10	coefficients	coefficient	NOUN
m-386	1218	11	in	in	ADP
m-386	1218	12	the	the	DET
m-386	1218	13	hypersphereeffectiveunity	hypersphereeffectiveunity	NOUN
m-386	1218	14	rs	rs	NOUN
m-386	1218	15	settransposedsimilarthen	settransposedsimilarthen	ADV
m-386	1218	16	the	the	DET
m-386	1218	17	inverse	inverse	NOUN
m-386	1218	18	,	,	PUNCT
m-386	1218	19			PROPN
m-386	1218	20			PROPN
m-386	1218	21	,	,	PUNCT
m-386	1218	22	(	(	PUNCT
m-386	1218	23	,	,	PUNCT
m-386	1218	24	)	)	PUNCT
m-386	1218	25	m	m	VERB
m-386	1218	26	nu	nu	INTJ
m-386	1218	27	z	z	PROPN
m-386	1218	28	w	w	PROPN
m-386	1218	29	hypersphereclosedtheis	hypersphereclosedtheis	NOUN
m-386	1218	30	effective	effective	ADJ
m-386	1218	31	in	in	ADP
m-386	1218	32	1	1	NUM
m-386	1218	33	r	r	NOUN
m-386	1218	34	s	s	NOUN
m-386	1218	35	settheifonlyandif	settheifonlyandif	NOUN
m-386	1218	36			NOUN
m-386	1218	37	(2	(2	PROPN
m-386	1218	38	)	)	PUNCT
m-386	1218	39	,	,	PUNCT
m-386	1218	40	(	(	PUNCT
m-386	1218	41	,	,	PUNCT
m-386	1218	42	)	)	PUNCT
m-386	1218	43	m	m	VERB
m-386	1218	44	np	np	INTJ
m-386	1218	45	z	z	NOUN
m-386	1218	46	w	w	NOUN
m-386	1218	47	is	be	AUX
m-386	1218	48	effective	effective	ADJ
m-386	1218	49	there	there	ADV
m-386	1218	50	.	.	PUNCT
m-386	1219	1	conclusions	conclusion	NOUN
m-386	1219	2	in	in	ADP
m-386	1219	3	this	this	DET
m-386	1219	4	paper	paper	NOUN
m-386	1219	5	,	,	PUNCT
m-386	1219	6	where	where	SCONJ
m-386	1219	7	the	the	DET
m-386	1219	8	correctness	correctness	NOUN
m-386	1219	9	of	of	ADP
m-386	1219	10	the	the	DET
m-386	1219	11	corresponding	corresponding	ADJ
m-386	1219	12	functions	function	NOUN
m-386	1219	13	is	be	AUX
m-386	1219	14	effectiveness	effectiveness	NOUN
m-386	1219	15	in	in	ADP
m-386	1219	16	origin	origin	NOUN
m-386	1219	17	,	,	PUNCT
m-386	1219	18	in	in	ADP
m-386	1219	19	the	the	DET
m-386	1219	20	open	open	ADJ
m-386	1219	21	hyperspheres	hypersphere	NOUN
m-386	1219	22	and	and	CCONJ
m-386	1219	23	in	in	ADP
m-386	1219	24	the	the	DET
m-386	1219	25	closed	closed	ADJ
m-386	1219	26	hyperspheres	hypersphere	NOUN
m-386	1219	27	,	,	PUNCT
m-386	1219	28	a	a	DET
m-386	1219	29	new	new	ADJ
m-386	1219	30	comparison	comparison	NOUN
m-386	1219	31	is	be	AUX
m-386	1219	32	proposed	propose	VERB
m-386	1219	33	to	to	PART
m-386	1219	34	study	study	VERB
m-386	1219	35	some	some	DET
m-386	1219	36	significant	significant	ADJ
m-386	1219	37	properties	property	NOUN
m-386	1219	38	of	of	ADP
m-386	1219	39	some	some	DET
m-386	1219	40	corresponding	correspond	VERB
m-386	1219	41	functions	function	NOUN
m-386	1219	42	in	in	ADP
m-386	1219	43	two	two	NUM
m-386	1219	44	complex	complex	ADJ
m-386	1219	45	variables	variable	NOUN
m-386	1219	46	,	,	PUNCT
m-386	1219	47	and	and	CCONJ
m-386	1219	48	this	this	DET
m-386	1219	49	study	study	NOUN
m-386	1219	50	is	be	AUX
m-386	1219	51	called	call	VERB
m-386	1219	52	a	a	DET
m-386	1219	53	new	new	ADJ
m-386	1219	54	one	one	NUM
m-386	1219	55	of	of	ADP
m-386	1219	56	its	its	PRON
m-386	1219	57	kinds	kind	NOUN
m-386	1219	58	.	.	PUNCT
m-386	1220	1	generalization	generalization	NOUN
m-386	1220	2	of	of	ADP
m-386	1220	3	the	the	DET
m-386	1220	4	corresponding	correspond	VERB
m-386	1220	5	position	position	NOUN
m-386	1220	6	and	and	CCONJ
m-386	1220	7	it	it	PRON
m-386	1220	8	has	have	VERB
m-386	1220	9	relevance	relevance	NOUN
m-386	1220	10	in	in	ADP
m-386	1220	11	many	many	ADJ
m-386	1220	12	areas	area	NOUN
m-386	1220	13	of	of	ADP
m-386	1220	14	application	application	NOUN
m-386	1220	15	and	and	CCONJ
m-386	1220	16	physics	physics	NOUN
m-386	1220	17	.	.	PUNCT
m-386	1221	1	references	reference	NOUN
m-386	1221	2	[	[	X
m-386	1221	3	1	1	X
m-386	1221	4	]	]	PUNCT
m-386	1221	5	j.	j.	PROPN
m-386	1221	6	a.	a.	PROPN
m-386	1221	7	adepoju	adepoju	PROPN
m-386	1221	8	,	,	PUNCT
m-386	1221	9	nassif	nassif	NOUN
m-386	1221	10	m	m	PROPN
m-386	1221	11	,	,	PUNCT
m-386	1221	12	effectiveness	effectiveness	NOUN
m-386	1221	13	of	of	ADP
m-386	1221	14	transposed	transpose	VERB
m-386	1221	15	inverse	inverse	NOUN
m-386	1221	16	sets	set	NOUN
m-386	1221	17	in	in	ADP
m-386	1221	18	faber	faber	NOUN
m-386	1221	19	regions	region	NOUN
m-386	1221	20	,	,	PUNCT
m-386	1221	21	inte	inte	NOUN
m-386	1221	22	.	.	PUNCT
m-386	1222	1	j.	j.	PROPN
m-386	1222	2	of	of	ADP
m-386	1222	3	math	math	PROPN
m-386	1222	4	.	.	PUNCT
m-386	1223	1	and	and	CCONJ
m-386	1223	2	math	math	NOUN
m-386	1223	3	.	.	PUNCT
m-386	1224	1	sci	sci	PROPN
m-386	1224	2	.	.	PUNCT
m-386	1224	3	vol	vol	NOUN
m-386	1224	4	.	.	PROPN
m-386	1225	1	6	6	NUM
m-386	1225	2	,	,	PUNCT
m-386	1225	3	n.	n.	NOUN
m-386	1225	4	2	2	NUM
m-386	1225	5	,	,	PUNCT
m-386	1225	6	(	(	PUNCT
m-386	1225	7	1983	1983	NUM
m-386	1225	8	)	)	PUNCT
m-386	1226	1	pp	pp	ADP
m-386	1226	2	.	.	PUNCT
m-386	1227	1	285	285	NUM
m-386	1227	2	-	-	SYM
m-386	1227	3	296	296	NUM
m-386	1227	4	.	.	PUNCT
m-386	1228	1	doi	doi	NOUN
m-386	1228	2	:	:	PUNCT
m-386	1228	3	10.1155	10.1155	NUM
m-386	1228	4	/	/	SYM
m-386	1228	5	s0161171283000241	s0161171283000241	NOUN
m-386	1228	6	.	.	PUNCT
m-386	1229	1	[	[	X
m-386	1229	2	2	2	NUM
m-386	1229	3	]	]	X
m-386	1229	4	b.	b.	NOUN
m-386	1229	5	cannon	cannon	NOUN
m-386	1229	6	,	,	PUNCT
m-386	1229	7	on	on	ADP
m-386	1229	8	the	the	DET
m-386	1229	9	convergence	convergence	NOUN
m-386	1229	10	of	of	ADP
m-386	1229	11	series	series	NOUN
m-386	1229	12	of	of	ADP
m-386	1229	13	polynomials	polynomial	NOUN
m-386	1229	14	,	,	PUNCT
m-386	1229	15	proceeding	proceed	VERB
m-386	1229	16	of	of	ADP
m-386	1229	17	the	the	DET
m-386	1229	18	london	london	PROPN
m-386	1229	19	math	math	NOUN
m-386	1229	20	.	.	PUNCT
m-386	1230	1	society	society	NOUN
m-386	1230	2	;	;	PUNCT
m-386	1230	3	ser.2	ser.2	NOUN
m-386	1230	4	vol.43	vol.43	NOUN
m-386	1230	5	,	,	PUNCT
m-386	1230	6	(	(	PUNCT
m-386	1230	7	1937	1937	NUM
m-386	1230	8	)	)	PUNCT
m-386	1230	9	;	;	PUNCT
m-386	1231	1	pp	pp	X
m-386	1231	2	.	.	PUNCT
m-386	1232	1	348	348	NUM
m-386	1232	2	-	-	SYM
m-386	1232	3	364	364	NUM
m-386	1232	4	.	.	PUNCT
m-386	1233	1	[	[	X
m-386	1233	2	3	3	X
m-386	1233	3	]	]	X
m-386	1233	4	j.	j.	PROPN
m-386	1233	5	choi	choi	PROPN
m-386	1233	6	,	,	PUNCT
m-386	1233	7	s.	s.	PROPN
m-386	1233	8	sabee	sabee	PROPN
m-386	1233	9	and	and	CCONJ
m-386	1233	10	m.	m.	NOUN
m-386	1233	11	shadab	shadab	PROPN
m-386	1233	12	,	,	PUNCT
m-386	1233	13	some	some	DET
m-386	1233	14	identities	identity	NOUN
m-386	1233	15	associated	associate	VERB
m-386	1233	16	with	with	ADP
m-386	1233	17	2	2	NUM
m-386	1233	18	-	-	PUNCT
m-386	1233	19	variable	variable	ADJ
m-386	1233	20	truncated	truncate	VERB
m-386	1233	21	exponential	exponential	NOUN
m-386	1233	22	based	base	VERB
m-386	1233	23	sheffer	sheffer	NOUN
m-386	1233	24	polynomial	polynomial	ADJ
m-386	1233	25	sequences	sequence	NOUN
m-386	1233	26	,	,	PUNCT
m-386	1233	27	commun	commun	PROPN
m-386	1233	28	.	.	PUNCT
m-386	1234	1	korean	korean	ADJ
m-386	1234	2	math	math	PROPN
m-386	1234	3	.	.	PUNCT
m-386	1235	1	soc	soc	PROPN
m-386	1235	2	.	.	PUNCT
m-386	1235	3	,	,	PUNCT
m-386	1235	4	35(2	35(2	NUM
m-386	1235	5	)	)	PUNCT
m-386	1235	6	(	(	PUNCT
m-386	1235	7	2020	2020	NUM
m-386	1235	8	)	)	PUNCT
m-386	1235	9	,	,	PUNCT
m-386	1235	10	533	533	NUM
m-386	1235	11	-	-	SYM
m-386	1235	12	546	546	NUM
m-386	1235	13	.	.	PUNCT
m-386	1236	1	https://doi.org/10.4134/ckms.c190104	https://doi.org/10.4134/ckms.c190104	PROPN
m-386	1236	2	.	.	PUNCT
m-386	1236	3	multipleshadab	multipleshadab	PROPN
m-386	1236	4	,	,	PUNCT
m-386	1236	5	m.ghayasuddin	m.ghayasuddin	ADJ
m-386	1236	6	andkhan	andkhan	NOUN
m-386	1236	7	,	,	PUNCT
m-386	1236	8	m.[4	m.[4	PROPN
m-386	1236	9	]	]	PUNCT
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m-386	1245	4	)	)	PUNCT
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m-386	1245	7	)	)	PUNCT
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m-386	1248	3	]	]	X
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m-386	1265	19	of	of	ADP
m-386	1265	20	polynomials	polynomial	NOUN
m-386	1265	21	.	.	PUNCT
m-386	1266	1	ph.d	ph.d	PROPN
m-386	1266	2	.	.	PUNCT
m-386	1267	1	thesis	thesis	NOUN
m-386	1267	2	,	,	PUNCT
m-386	1267	3	faculty	faculty	NOUN
m-386	1267	4	of	of	ADP
m-386	1267	5	science	science	NOUN
m-386	1267	6	,	,	PUNCT
m-386	1267	7	assiut	assiut	NOUN
m-386	1267	8	,	,	PUNCT
m-386	1267	9	univ	univ	PROPN
m-386	1267	10	.	.	PUNCT
m-386	1268	1	(	(	PUNCT
m-386	1268	2	1993	1993	NUM
m-386	1268	3	)	)	PUNCT
m-386	1268	4	.	.	PUNCT
m-386	1269	1	[	[	X
m-386	1269	2	13	13	NUM
m-386	1269	3	]	]	PUNCT
m-386	1269	4	m.	m.	NOUN
m-386	1269	5	mursi	mursi	NOUN
m-386	1269	6	,	,	PUNCT
m-386	1269	7	b.	b.	PROPN
m-386	1269	8	h.	h.	PROPN
m-386	1269	9	and	and	CCONJ
m-386	1269	10	makar	makar	PROPN
m-386	1269	11	,	,	PUNCT
m-386	1269	12	basic	basic	ADJ
m-386	1269	13	sets	set	NOUN
m-386	1269	14	of	of	ADP
m-386	1269	15	polynomials	polynomial	NOUN
m-386	1269	16	of	of	ADP
m-386	1269	17	several	several	ADJ
m-386	1269	18	complex	complex	ADJ
m-386	1269	19	variables	variables	PROPN
m-386	1269	20	ii	ii	PROPN
m-386	1269	21	,	,	PUNCT
m-386	1269	22	proceeding	proceed	VERB
m-386	1269	23	of	of	ADP
m-386	1269	24	second	second	ADJ
m-386	1269	25	arab	arab	ADJ
m-386	1269	26	science	science	NOUN
m-386	1269	27	congers	conger	NOUN
m-386	1269	28	;	;	PUNCT
m-386	1269	29	cairo	cairo	PROPN
m-386	1269	30	(	(	PUNCT
m-386	1269	31	1955	1955	NUM
m-386	1269	32	)	)	PUNCT
m-386	1269	33	;	;	PUNCT
m-386	1269	34	pp	pp	X
m-386	1269	35	.	.	PUNCT
m-386	1270	1	16	16	NUM
m-386	1270	2	-	-	SYM
m-386	1270	3	68	68	NUM
m-386	1270	4	.	.	PUNCT
m-386	1271	1	[	[	X
m-386	1271	2	14	14	NUM
m-386	1271	3	]	]	X
m-386	1271	4	m.	m.	NOUN
m-386	1271	5	nassif	nassif	NOUN
m-386	1271	6	,	,	PUNCT
m-386	1271	7	composite	composite	ADJ
m-386	1271	8	sets	set	NOUN
m-386	1271	9	of	of	ADP
m-386	1271	10	polynomials	polynomial	NOUN
m-386	1271	11	of	of	ADP
m-386	1271	12	several	several	ADJ
m-386	1271	13	complex	complex	ADJ
m-386	1271	14	variables	variable	NOUN
m-386	1271	15	,	,	PUNCT
m-386	1271	16	publications	publication	NOUN
m-386	1271	17	mathematics	mathematic	NOUN
m-386	1271	18	.	.	PUNCT
m-386	1272	1	(	(	PUNCT
m-386	1272	2	debrecen	debrecen	PROPN
m-386	1272	3	)	)	PUNCT
m-386	1272	4	tomus	tomus	PROPN
m-386	1272	5	18	18	NUM
m-386	1272	6	,	,	PUNCT
m-386	1272	7	(	(	PUNCT
m-386	1272	8	1971	1971	NUM
m-386	1272	9	)	)	PUNCT
m-386	1272	10	;	;	PUNCT
m-386	1273	1	pp	pp	X
m-386	1273	2	.	.	PUNCT
m-386	1274	1	43	43	NUM
m-386	1274	2	-	-	SYM
m-386	1274	3	53	53	NUM
m-386	1274	4	.	.	PUNCT
m-386	1275	1	[	[	X
m-386	1275	2	15	15	NUM
m-386	1275	3	]	]	X
m-386	1275	4	m.	m.	NOUN
m-386	1275	5	nassif	nassif	NOUN
m-386	1275	6	and	and	CCONJ
m-386	1275	7	j.	j.	PROPN
m-386	1275	8	a.	a.	PROPN
m-386	1275	9	adepoju	adepoju	PROPN
m-386	1275	10	,	,	PUNCT
m-386	1275	11	“	"	PUNCT
m-386	1275	12	effectiveness	effectiveness	NOUN
m-386	1275	13	of	of	ADP
m-386	1275	14	product	product	NOUN
m-386	1275	15	of	of	ADP
m-386	1275	16	simple	simple	ADJ
m-386	1275	17	sets	set	NOUN
m-386	1275	18	of	of	ADP
m-386	1275	19	polynomials	polynomial	NOUN
m-386	1275	20	of	of	ADP
m-386	1275	21	two	two	NUM
m-386	1275	22	complex	complex	ADJ
m-386	1275	23	variables	variable	NOUN
m-386	1275	24	in	in	ADP
m-386	1275	25	polycylinders	polycylinder	NOUN
m-386	1275	26	and	and	CCONJ
m-386	1275	27	in	in	ADP
m-386	1275	28	faber	faber	NOUN
m-386	1275	29	regions	region	NOUN
m-386	1275	30	,	,	PUNCT
m-386	1275	31	journal	journal	NOUN
m-386	1275	32	of	of	ADP
m-386	1275	33	natural	natural	ADJ
m-386	1275	34	sciences	science	NOUN
m-386	1275	35	and	and	CCONJ
m-386	1275	36	mathematics	mathematic	NOUN
m-386	1275	37	,	,	PUNCT
m-386	1275	38	(	(	PUNCT
m-386	1275	39	lahore	lahore	NOUN
m-386	1275	40	)	)	PUNCT
m-386	1275	41	;	;	PUNCT
m-386	1275	42	vol	vol	NOUN
m-386	1275	43	.	.	PROPN
m-386	1276	1	24	24	NUM
m-386	1276	2	no	no	NOUN
m-386	1276	3	.	.	NOUN
m-386	1276	4	2	2	NUM
m-386	1276	5	;	;	PUNCT
m-386	1276	6	(	(	PUNCT
m-386	1276	7	1984	1984	NUM
m-386	1276	8	)	)	PUNCT
m-386	1276	9	;	;	PUNCT
m-386	1277	1	pp	pp	X
m-386	1277	2	.	.	PUNCT
m-386	1278	1	153	153	NUM
m-386	1278	2	-	-	SYM
m-386	1278	3	172	172	NUM
m-386	1278	4	.	.	PUNCT
m-386	1279	1	[	[	X
m-386	1279	2	16	16	NUM
m-386	1279	3	]	]	X
m-386	1279	4	w.	w.	PROPN
m-386	1279	5	f.	f.	PROPN
m-386	1279	6	newns	newns	PROPN
m-386	1279	7	,	,	PUNCT
m-386	1279	8	on	on	ADP
m-386	1279	9	the	the	DET
m-386	1279	10	representation	representation	NOUN
m-386	1279	11	of	of	ADP
m-386	1279	12	analytic	analytic	ADJ
m-386	1279	13	functions	function	NOUN
m-386	1279	14	by	by	ADP
m-386	1279	15	infinite	infinite	ADJ
m-386	1279	16	series	series	NOUN
m-386	1279	17	,	,	PUNCT
m-386	1279	18	philosophical	philosophical	ADJ
m-386	1279	19	transactions	transaction	NOUN
m-386	1279	20	of	of	ADP
m-386	1279	21	the	the	DET
m-386	1279	22	royal	royal	ADJ
m-386	1279	23	society	society	NOUN
m-386	1279	24	of	of	ADP
m-386	1279	25	london	london	PROPN
m-386	1279	26	,	,	PUNCT
m-386	1279	27	ser	ser	PROPN
m-386	1279	28	.	.	PUNCT
m-386	1279	29	a.	a.	NOUN
m-386	1279	30	vol	vol	NOUN
m-386	1279	31	.	.	PROPN
m-386	1280	1	245	245	NUM
m-386	1280	2	(	(	PUNCT
m-386	1280	3	1953	1953	NUM
m-386	1280	4	)	)	PUNCT
m-386	1280	5	;	;	PUNCT
m-386	1281	1	pp	pp	X
m-386	1281	2	.	.	PUNCT
m-386	1282	1	429	429	NUM
m-386	1282	2	–	–	PUNCT
m-386	1282	3	468	468	NUM
m-386	1282	4	.	.	PUNCT
m-386	1283	1	[	[	X
m-386	1283	2	17	17	NUM
m-386	1283	3	]	]	X
m-386	1283	4	k.a.m	k.a.m	PROPN
m-386	1283	5	.	.	PROPN
m-386	1283	6	sayyed	sayyed	PROPN
m-386	1283	7	,	,	PUNCT
m-386	1283	8	basic	basic	ADJ
m-386	1283	9	sets	set	NOUN
m-386	1283	10	of	of	ADP
m-386	1283	11	polynomials	polynomial	NOUN
m-386	1283	12	of	of	ADP
m-386	1283	13	two	two	NUM
m-386	1283	14	complex	complex	ADJ
m-386	1283	15	variables	variable	NOUN
m-386	1283	16	.	.	PUNCT
m-386	1284	1	m.	m.	PROPN
m-386	1284	2	sc	sc	PROPN
m-386	1284	3	.	.	PUNCT
m-386	1285	1	thesis	thesis	PROPN
m-386	1285	2	,	,	PUNCT
m-386	1285	3	assiut	assiut	PROPN
m-386	1285	4	univ	univ	PROPN
m-386	1285	5	.	.	PUNCT
m-386	1286	1	(	(	PUNCT
m-386	1286	2	1972	1972	NUM
m-386	1286	3	)	)	PUNCT
m-386	1286	4	.	.	PUNCT
m-386	1287	1	[	[	X
m-386	1287	2	18	18	NUM
m-386	1287	3	]	]	X
m-386	1287	4	k.a.m	k.a.m	PROPN
m-386	1287	5	.	.	PROPN
m-386	1287	6	sayyed	sayyed	PROPN
m-386	1287	7	and	and	CCONJ
m-386	1287	8	s.m	s.m	PROPN
m-386	1287	9	.	.	PROPN
m-386	1287	10	mena	mena	PROPN
m-386	1287	11	,	,	PUNCT
m-386	1287	12	similar	similar	ADJ
m-386	1287	13	sets	set	NOUN
m-386	1287	14	of	of	ADP
m-386	1287	15	polynomials	polynomial	NOUN
m-386	1287	16	,	,	PUNCT
m-386	1287	17	bull	bull	NOUN
m-386	1287	18	.	.	PUNCT
m-386	1288	1	fac	fac	PROPN
m-386	1288	2	.	.	PUNCT
m-386	1289	1	sci	sci	PROPN
m-386	1289	2	.	.	PROPN
m-386	1289	3	,	,	PUNCT
m-386	1289	4	assiut	assiut	PROPN
m-386	1289	5	univ	univ	PROPN
m-386	1289	6	.	.	PROPN
m-386	1289	7	,	,	PUNCT
m-386	1289	8	17(1	17(1	NUM
m-386	1289	9	-	-	SYM
m-386	1289	10	c	c	NOUN
m-386	1289	11	)	)	PUNCT
m-386	1289	12	,	,	PUNCT
m-386	1289	13	pp	pp	PROPN
m-386	1289	14	.	.	PUNCT
m-386	1290	1	29	29	NUM
m-386	1290	2	-	-	SYM
m-386	1290	3	38	38	NUM
m-386	1290	4	(	(	PUNCT
m-386	1290	5	1988	1988	NUM
m-386	1290	6	)	)	PUNCT
m-386	1290	7	.	.	PUNCT
m-386	1291	1	[	[	X
m-386	1291	2	19	19	NUM
m-386	1291	3	]	]	X
m-386	1291	4	k.a.m	k.a.m	PROPN
m-386	1291	5	.	.	PROPN
m-386	1291	6	sayyed	sayyed	PROPN
m-386	1291	7	and	and	CCONJ
m-386	1291	8	s.m	s.m	PROPN
m-386	1291	9	.	.	PROPN
m-386	1291	10	mena	mena	PROPN
m-386	1291	11	,	,	PUNCT
m-386	1291	12	effectiveness	effectiveness	VERB
m-386	1291	13	similar	similar	ADJ
m-386	1291	14	sets	set	NOUN
m-386	1291	15	of	of	ADP
m-386	1291	16	polynomials	polynomial	NOUN
m-386	1291	17	at	at	ADP
m-386	1291	18	the	the	DET
m-386	1291	19	origin	origin	NOUN
m-386	1291	20	,	,	PUNCT
m-386	1291	21	bull	bull	NOUN
m-386	1291	22	.	.	PUNCT
m-386	1292	1	fac	fac	PROPN
m-386	1292	2	.	.	PUNCT
m-386	1293	1	sci	sci	PROPN
m-386	1293	2	.	.	PROPN
m-386	1293	3	,	,	PUNCT
m-386	1293	4	assiut	assiut	PROPN
m-386	1293	5	univ	univ	PROPN
m-386	1293	6	.	.	PROPN
m-386	1293	7	,	,	PUNCT
m-386	1293	8	17(1	17(1	NUM
m-386	1293	9	-	-	SYM
m-386	1293	10	c	c	NOUN
m-386	1293	11	)	)	PUNCT
m-386	1293	12	,	,	PUNCT
m-386	1293	13	pp	pp	PROPN
m-386	1293	14	.	.	PUNCT
m-386	1294	1	39	39	NUM
m-386	1294	2	-	-	SYM
m-386	1294	3	48	48	NUM
m-386	1294	4	(	(	PUNCT
m-386	1294	5	1988	1988	NUM
m-386	1294	6	)	)	PUNCT
m-386	1294	7	.	.	PUNCT
m-386	1295	1	[	[	X
m-386	1295	2	20	20	NUM
m-386	1295	3	]	]	X
m-386	1295	4	k.a.m	k.a.m	PROPN
m-386	1295	5	.	.	PROPN
m-386	1295	6	sayyed	sayyed	PROPN
m-386	1295	7	and	and	CCONJ
m-386	1295	8	m.s	m.s	PROPN
m-386	1295	9	.	.	PROPN
m-386	1296	1	metwally	metwally	ADV
m-386	1296	2	,	,	PUNCT
m-386	1296	3	effectiveness	effectiveness	NOUN
m-386	1296	4	of	of	ADP
m-386	1296	5	similar	similar	ADJ
m-386	1296	6	and	and	CCONJ
m-386	1296	7	inverse	inverse	VERB
m-386	1296	8	similar	similar	ADJ
m-386	1296	9	sets	set	NOUN
m-386	1296	10	of	of	ADP
m-386	1296	11	polynomials	polynomial	NOUN
m-386	1296	12	in	in	ADP
m-386	1296	13	faber	faber	NOUN
m-386	1296	14	regions	region	NOUN
m-386	1296	15	,	,	PUNCT
m-386	1296	16	sohag	sohag	NOUN
m-386	1296	17	pure	pure	ADJ
m-386	1296	18	and	and	CCONJ
m-386	1296	19	appl	appl	NOUN
m-386	1296	20	.	.	PUNCT
m-386	1297	1	sci	sci	PROPN
m-386	1297	2	.	.	PUNCT
m-386	1297	3	bull	bull	PROPN
m-386	1297	4	.	.	PUNCT
m-386	1297	5	,	,	PUNCT
m-386	1297	6	fac	fac	PROPN
m-386	1297	7	.	.	PUNCT
m-386	1298	1	sci	sci	PROPN
m-386	1298	2	.	.	PROPN
m-386	1298	3	,egypt	,egypt	PROPN
m-386	1298	4	,	,	PUNCT
m-386	1298	5	9(1993),37	9(1993),37	NUM
m-386	1298	6	-	-	SYM
m-386	1298	7	49	49	NUM
m-386	1298	8	.	.	PUNCT
m-386	1299	1	[	[	X
m-386	1299	2	21	21	NUM
m-386	1299	3	]	]	X
m-386	1299	4	k.a.m	k.a.m	PROPN
m-386	1299	5	.	.	PROPN
m-386	1299	6	sayyed	sayyed	PROPN
m-386	1299	7	and	and	CCONJ
m-386	1299	8	m.s	m.s	PROPN
m-386	1299	9	.	.	PROPN
m-386	1300	1	metwally	metwally	ADV
m-386	1300	2	,	,	PUNCT
m-386	1300	3	effectiveness	effectiveness	NOUN
m-386	1300	4	of	of	ADP
m-386	1300	5	similar	similar	ADJ
m-386	1300	6	sets	set	NOUN
m-386	1300	7	of	of	ADP
m-386	1300	8	polynomials	polynomial	NOUN
m-386	1300	9	of	of	ADP
m-386	1300	10	two	two	NUM
m-386	1300	11	complex	complex	ADJ
m-386	1300	12	variables	variable	NOUN
m-386	1300	13	in	in	ADP
m-386	1300	14	polycylinders	polycylinder	NOUN
m-386	1300	15	and	and	CCONJ
m-386	1300	16	in	in	ADP
m-386	1300	17	in	in	ADP
m-386	1300	18	faber	faber	NOUN
m-386	1300	19	regions	region	NOUN
m-386	1300	20	,	,	PUNCT
m-386	1300	21	internat	internat	NOUN
m-386	1300	22	.	.	PUNCT
m-386	1301	1	j.	j.	PROPN
m-386	1301	2	math	math	PROPN
m-386	1301	3	.	.	PUNCT
m-386	1301	4	&	&	CCONJ
m-386	1301	5	math	math	PROPN
m-386	1301	6	.	.	PUNCT
m-386	1302	1	sci	sci	PROPN
m-386	1302	2	.	.	PUNCT
m-386	1302	3	vol	vol	NOUN
m-386	1302	4	.	.	PROPN
m-386	1303	1	21	21	NUM
m-386	1303	2	no	no	NOUN
m-386	1303	3	.	.	NOUN
m-386	1303	4	3	3	NUM
m-386	1303	5	(	(	PUNCT
m-386	1303	6	1998	1998	NUM
m-386	1303	7	)	)	PUNCT
m-386	1303	8	,	,	PUNCT
m-386	1303	9	587	587	NUM
m-386	1303	10	–	–	PUNCT
m-386	1303	11	94	94	NUM
m-386	1303	12	.	.	PUNCT
m-386	1304	1	doi	doi	NOUN
m-386	1304	2	:	:	PUNCT
m-386	1304	3	10.1155	10.1155	NUM
m-386	1304	4	/	/	SYM
m-386	1304	5	s0161171298000817	s0161171298000817	NOUN
m-386	1304	6	.	.	PUNCT
m-386	1305	1	[	[	X
m-386	1305	2	22	22	NUM
m-386	1305	3	]	]	X
m-386	1305	4	h.m	h.m	PROPN
m-386	1305	5	.	.	PROPN
m-386	1305	6	srivastava	srivastava	PROPN
m-386	1305	7	,	,	PUNCT
m-386	1305	8	saima	saima	PROPN
m-386	1305	9	jabee	jabee	PROPN
m-386	1305	10	and	and	CCONJ
m-386	1305	11	m.	m.	NOUN
m-386	1305	12	shadab	shadab	PROPN
m-386	1305	13	,	,	PUNCT
m-386	1305	14	differential	differential	ADJ
m-386	1305	15	equations	equation	NOUN
m-386	1305	16	and	and	CCONJ
m-386	1305	17	recurrence	recurrence	NOUN
m-386	1305	18	relations	relation	NOUN
m-386	1305	19	of	of	ADP
m-386	1305	20	the	the	DET
m-386	1305	21	sheffer	sheffer	NOUN
m-386	1305	22	-	-	PUNCT
m-386	1305	23	appell	appell	NOUN
m-386	1305	24	polynomial	polynomial	ADJ
m-386	1305	25	sequence	sequence	NOUN
m-386	1305	26	:	:	PUNCT
m-386	1305	27	a	a	DET
m-386	1305	28	matrix	matrix	NOUN
m-386	1305	29	approach	approach	NOUN
m-386	1305	30	,	,	PUNCT
m-386	1305	31	arxiv:1903.09620	arxiv:1903.09620	NOUN
m-386	1306	1	[	[	X
m-386	1306	2	math	math	NOUN
m-386	1306	3	.	.	PUNCT
m-386	1307	1	ca	can	AUX
m-386	1307	2	]	]	X
m-386	1307	3	21	21	NUM
m-386	1307	4	mar	mar	PROPN
m-386	1307	5	2019	2019	NUM
m-386	1307	6	.	.	PUNCT
m-386	1308	1	ijo	ijo	PROPN
m-386	1308	2	international	international	PROPN
m-386	1308	3	journal	journal	PROPN
m-386	1308	4	of	of	ADP
m-386	1308	5	mathematics	mathematics	PROPN
m-386	1308	6	volume	volume	PROPN
m-386	1308	7	3|	3|	NUM
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m-386	1308	9	12|	12|	NUM
m-386	1308	10	december	december	PROPN
m-386	1308	11	|	|	NOUN
m-386	1308	12	2020	2020	NUM
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m-386	1308	14	17	17	NUM
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