id	sid	tid	token	lemma	pos
m-274	1	1	distinction	distinction	NOUN
m-274	1	2	between	between	ADP
m-274	1	3	spepectral	spepectral	ADJ
m-274	1	4	analysis	analysis	NOUN
m-274	1	5	and	and	CCONJ
m-274	1	6	harmonic	harmonic	ADJ
m-274	1	7	analysis	analysis	NOUN
m-274	1	8	in	in	ADP
m-274	1	9	time	time	NOUN
m-274	1	10	series	series	NOUN
m-274	1	11	analysis	analysis	NOUN
m-274	1	12	:	:	PUNCT
m-274	1	13	experience	experience	NOUN
m-274	1	14	from	from	ADP
m-274	1	15	the	the	DET
m-274	1	16	number	number	NOUN
m-274	1	17	cruncher	cruncher	NOUN
m-274	1	18	statistical	statistical	ADJ
m-274	1	19	system	system	NOUN
m-274	1	20	(	(	PUNCT
m-274	1	21	ncss	ncss	PROPN
m-274	1	22	)	)	PUNCT
m-274	1	23	software	software	NOUN
m-274	1	24	.	.	PUNCT
m-274	2	1	authors	author	NOUN
m-274	2	2	okafor	okafor	VERB
m-274	2	3	uchenwa	uchenwa	PROPN
m-274	2	4	linusa	linusa	PROPN
m-274	2	5	,	,	PUNCT
m-274	2	6	m.o	m.o	PROPN
m-274	2	7	.	.	PROPN
m-274	2	8	oladejoa	oladejoa	PROPN
m-274	2	9	,	,	PUNCT
m-274	2	10	c.o.uwab	c.o.uwab	PROPN
m-274	2	11	,	,	PUNCT
m-274	2	12	d.t.chineyob	d.t.chineyob	NOUN
m-274	2	13	and	and	CCONJ
m-274	2	14	jighjigh	jighjigh	NOUN
m-274	2	15	,	,	PUNCT
m-274	2	16	a.tc	a.tc	PROPN
m-274	2	17	.	.	PUNCT
m-274	2	18	a.	a.	PROPN
m-274	2	19	department	department	PROPN
m-274	2	20	of	of	ADP
m-274	2	21	mathematical	mathematical	ADJ
m-274	2	22	sciences	science	NOUN
m-274	2	23	,	,	PUNCT
m-274	2	24	faculty	faculty	NOUN
m-274	2	25	of	of	ADP
m-274	2	26	science	science	NOUN
m-274	2	27	nigerian	nigerian	PROPN
m-274	2	28	defence	defence	PROPN
m-274	2	29	academy	academy	PROPN
m-274	2	30	,	,	PUNCT
m-274	2	31	kaduna	kaduna	PROPN
m-274	2	32	b.department	b.department	NUM
m-274	2	33	of	of	ADP
m-274	2	34	computer	computer	NOUN
m-274	2	35	science	science	NOUN
m-274	2	36	,	,	PUNCT
m-274	2	37	faculty	faculty	NOUN
m-274	2	38	of	of	ADP
m-274	2	39	military	military	ADJ
m-274	2	40	science	science	NOUN
m-274	2	41	and	and	CCONJ
m-274	2	42	interdisciplinary	interdisciplinary	ADJ
m-274	2	43	studies	study	NOUN
m-274	2	44	,	,	PUNCT
m-274	2	45	nigerian	nigerian	ADJ
m-274	2	46	defence	defence	PROPN
m-274	2	47	academy	academy	PROPN
m-274	2	48	,	,	PUNCT
m-274	2	49	kaduna	kaduna	PROPN
m-274	2	50	.	.	PUNCT
m-274	3	1	c	c	PROPN
m-274	3	2	department	department	PROPN
m-274	3	3	of	of	ADP
m-274	3	4	mathematics	mathematics	PROPN
m-274	3	5	/	/	SYM
m-274	3	6	computer	computer	NOUN
m-274	3	7	science	science	NOUN
m-274	3	8	.	.	PUNCT
m-274	4	1	benue	benue	VERB
m-274	4	2	state	state	PROPN
m-274	4	3	university	university	PROPN
m-274	4	4	,	,	PUNCT
m-274	4	5	makurdi	makurdi	PROPN
m-274	4	6	abstract	abstract	ADJ
m-274	4	7	this	this	DET
m-274	4	8	paper	paper	NOUN
m-274	4	9	shows	show	VERB
m-274	4	10	a	a	DET
m-274	4	11	clear	clear	ADJ
m-274	4	12	distinction	distinction	NOUN
m-274	4	13	between	between	ADP
m-274	4	14	spectral	spectral	ADJ
m-274	4	15	analysis	analysis	NOUN
m-274	4	16	and	and	CCONJ
m-274	4	17	harmonic	harmonic	ADJ
m-274	4	18	analysis	analysis	NOUN
m-274	4	19	and	and	CCONJ
m-274	4	20	highlights	highlight	NOUN
m-274	4	21	what	what	PRON
m-274	4	22	is	be	AUX
m-274	4	23	common	common	ADJ
m-274	4	24	amongst	amongst	ADP
m-274	4	25	these	these	DET
m-274	4	26	two	two	NUM
m-274	4	27	terms	term	NOUN
m-274	4	28	.	.	PUNCT
m-274	5	1	the	the	DET
m-274	5	2	distinction	distinction	NOUN
m-274	5	3	and	and	CCONJ
m-274	5	4	commonalities	commonality	NOUN
m-274	5	5	are	be	AUX
m-274	5	6	illustrated	illustrate	VERB
m-274	5	7	using	use	VERB
m-274	5	8	the	the	DET
m-274	5	9	data	datum	NOUN
m-274	5	10	from	from	ADP
m-274	5	11	sales	sale	NOUN
m-274	5	12	of	of	ADP
m-274	5	13	cement	cement	NOUN
m-274	5	14	obtained	obtain	VERB
m-274	5	15	from	from	ADP
m-274	5	16	a	a	DET
m-274	5	17	sales	sale	NOUN
m-274	5	18	record	record	NOUN
m-274	5	19	.	.	PUNCT
m-274	6	1	the	the	DET
m-274	6	2	work	work	NOUN
m-274	6	3	identified	identify	VERB
m-274	6	4	the	the	DET
m-274	6	5	role	role	NOUN
m-274	6	6	of	of	ADP
m-274	6	7	spectral	spectral	ADJ
m-274	6	8	analysis	analysis	NOUN
m-274	6	9	as	as	ADP
m-274	6	10	that	that	PRON
m-274	6	11	of	of	ADP
m-274	6	12	showing	show	VERB
m-274	6	13	the	the	DET
m-274	6	14	periods	period	NOUN
m-274	6	15	/wavelengths	/wavelength	NOUN
m-274	6	16	having	have	VERB
m-274	6	17	containing	contain	VERB
m-274	6	18	more	more	ADJ
m-274	6	19	energy	energy	NOUN
m-274	6	20	with	with	ADP
m-274	6	21	the	the	DET
m-274	6	22	sine	sine	NOUN
m-274	6	23	and	and	CCONJ
m-274	6	24	cosine	cosine	NOUN
m-274	6	25	components	component	NOUN
m-274	6	26	but	but	CCONJ
m-274	6	27	without	without	ADP
m-274	6	28	stating	state	VERB
m-274	6	29	whether	whether	SCONJ
m-274	6	30	the	the	DET
m-274	6	31	components	component	NOUN
m-274	6	32	are	be	AUX
m-274	6	33	significant	significant	ADJ
m-274	6	34	or	or	CCONJ
m-274	6	35	not	not	PART
m-274	6	36	.	.	PUNCT
m-274	7	1	spectral	spectral	ADJ
m-274	7	2	analysis	analysis	NOUN
m-274	7	3	helps	help	VERB
m-274	7	4	to	to	PART
m-274	7	5	identify	identify	VERB
m-274	7	6	hidden	hide	VERB
m-274	7	7	periodicities	periodicity	NOUN
m-274	7	8	but	but	CCONJ
m-274	7	9	does	do	AUX
m-274	7	10	not	not	PART
m-274	7	11	form	form	VERB
m-274	7	12	the	the	DET
m-274	7	13	model	model	NOUN
m-274	7	14	equation	equation	NOUN
m-274	7	15	.	.	PUNCT
m-274	8	1	harmonic	harmonic	ADJ
m-274	8	2	analysis	analysis	NOUN
m-274	8	3	on	on	ADP
m-274	8	4	the	the	DET
m-274	8	5	other	other	ADJ
m-274	8	6	hand	hand	NOUN
m-274	8	7	makes	make	VERB
m-274	8	8	use	use	NOUN
m-274	8	9	of	of	ADP
m-274	8	10	the	the	DET
m-274	8	11	periods	period	NOUN
m-274	8	12	with	with	ADP
m-274	8	13	higher	high	ADJ
m-274	8	14	energies	energy	NOUN
m-274	8	15	identified	identify	VERB
m-274	8	16	by	by	ADP
m-274	8	17	the	the	DET
m-274	8	18	spectral	spectral	ADJ
m-274	8	19	analysis	analysis	NOUN
m-274	8	20	to	to	PART
m-274	8	21	form	form	VERB
m-274	8	22	a	a	DET
m-274	8	23	model	model	NOUN
m-274	8	24	equation	equation	NOUN
m-274	8	25	,	,	PUNCT
m-274	8	26	it	it	PRON
m-274	8	27	also	also	ADV
m-274	8	28	shows	show	VERB
m-274	8	29	whether	whether	SCONJ
m-274	8	30	the	the	DET
m-274	8	31	frequencies	frequency	NOUN
m-274	8	32	are	be	AUX
m-274	8	33	significant	significant	ADJ
m-274	8	34	or	or	CCONJ
m-274	8	35	not	not	PART
m-274	8	36	by	by	ADP
m-274	8	37	displaying	display	VERB
m-274	8	38	the	the	DET
m-274	8	39	t	t	NOUN
m-274	8	40	-	-	PUNCT
m-274	8	41	values	value	NOUN
m-274	8	42	for	for	ADP
m-274	8	43	each	each	DET
m-274	8	44	kth	kth	PROPN
m-274	8	45	harmonic	harmonic	ADJ
m-274	8	46	value	value	NOUN
m-274	8	47	used	use	VERB
m-274	8	48	to	to	PART
m-274	8	49	form	form	VERB
m-274	8	50	the	the	DET
m-274	8	51	model	model	NOUN
m-274	8	52	equation	equation	NOUN
m-274	8	53	.	.	PUNCT
m-274	9	1	from	from	ADP
m-274	9	2	the	the	DET
m-274	9	3	giving	give	VERB
m-274	9	4	data	datum	NOUN
m-274	9	5	,	,	PUNCT
m-274	9	6	harmonic	harmonic	VERB
m-274	9	7	analysis	analysis	NOUN
m-274	9	8	makes	make	VERB
m-274	9	9	predictions	prediction	NOUN
m-274	9	10	/forecasts	/forecast	NOUN
m-274	9	11	,	,	PUNCT
m-274	9	12	performs	perform	VERB
m-274	9	13	model	model	NOUN
m-274	9	14	parameter	parameter	PROPN
m-274	9	15	estimation	estimation	NOUN
m-274	9	16	,	,	PUNCT
m-274	9	17	analysis	analysis	NOUN
m-274	9	18	of	of	ADP
m-274	9	19	variance	variance	NOUN
m-274	9	20	,	,	PUNCT
m-274	9	21	displays	display	VERB
m-274	9	22	the	the	DET
m-274	9	23	asymptotic	asymptotic	ADJ
m-274	9	24	correlation	correlation	NOUN
m-274	9	25	matrix	matrix	NOUN
m-274	9	26	of	of	ADP
m-274	9	27	parameters	parameter	NOUN
m-274	9	28	.	.	PUNCT
m-274	10	1	in	in	ADP
m-274	10	2	harmonic	harmonic	ADJ
m-274	10	3	analysis	analysis	NOUN
m-274	10	4	,	,	PUNCT
m-274	10	5	the	the	DET
m-274	10	6	graphs	graph	NOUN
m-274	10	7	of	of	ADP
m-274	10	8	errors	error	NOUN
m-274	10	9	against	against	ADP
m-274	10	10	time	time	NOUN
m-274	10	11	and	and	CCONJ
m-274	10	12	against	against	ADP
m-274	10	13	the	the	DET
m-274	10	14	predicted	predict	VERB
m-274	10	15	values	value	NOUN
m-274	10	16	are	be	AUX
m-274	10	17	also	also	ADV
m-274	10	18	plotted	plot	VERB
m-274	10	19	.	.	PUNCT
m-274	11	1	keywords	keyword	NOUN
m-274	11	2	:	:	PUNCT
m-274	11	3	harmonic	harmonic	ADJ
m-274	11	4	analysis	analysis	NOUN
m-274	11	5	,	,	PUNCT
m-274	11	6	spectral	spectral	ADJ
m-274	11	7	analysis	analysis	NOUN
m-274	11	8	,	,	PUNCT
m-274	11	9	period	period	NOUN
m-274	11	10	,	,	PUNCT
m-274	11	11	wavelength	wavelength	NOUN
m-274	11	12	,	,	PUNCT
m-274	11	13	model	model	NOUN
m-274	11	14	,	,	PUNCT
m-274	11	15	forecasting	forecasting	NOUN
m-274	11	16	.	.	PUNCT
m-274	12	1	corresponding	correspond	VERB
m-274	12	2	author	author	NOUN
m-274	12	3	’s	’s	PART
m-274	12	4	address	address	NOUN
m-274	12	5	:	:	PUNCT
m-274	12	6	email	email	NOUN
m-274	12	7	-	-	PUNCT
m-274	12	8	linusokafor	linusokafor	NOUN
m-274	12	9	@gmail.com	@gmail.com	NOUN
m-274	12	10	,	,	PUNCT
m-274	12	11	phone;+234	phone;+234	PROPN
m-274	12	12	-	-	PUNCT
m-274	12	13	9022982454	9022982454	NUM
m-274	12	14	co	co	NOUN
m-274	12	15	-	-	NOUN
m-274	12	16	authors	author	NOUN
m-274	12	17	address	address	NOUN
m-274	12	18	:	:	PUNCT
m-274	12	19	(	(	PUNCT
m-274	12	20	1)mikeoladejo2003@yahoo.com.(2)ozocel2014@gmail.com.(3)atamber@bsum.edu.ng.(4)dtchinyio	1)mikeoladejo2003@yahoo.com.(2)ozocel2014@gmail.com.(3)atamber@bsum.edu.ng.(4)dtchinyio	X
m-274	12	21	@yahoo.com	@yahoo.com	X
m-274	12	22	ijo	ijo	PROPN
m-274	12	23	international	international	PROPN
m-274	12	24	journal	journal	PROPN
m-274	12	25	of	of	ADP
m-274	12	26	mathematics	mathematics	PROPN
m-274	12	27	volume	volume	NOUN
m-274	12	28	03	03	NUM
m-274	12	29	|issue	|issue	NOUN
m-274	12	30	01	01	NUM
m-274	13	1	|	|	CCONJ
m-274	13	2	january	january	PROPN
m-274	13	3	2020	2020	NUM
m-274	13	4	www.ijojournals.com	www.ijojournals.com	X
m-274	13	5	1	1	NUM
m-274	13	6	1.0	1.0	NUM
m-274	13	7	introduction	introduction	NOUN
m-274	13	8	most	most	ADJ
m-274	13	9	text	text	NOUN
m-274	13	10	book	book	NOUN
m-274	13	11	writers	writer	NOUN
m-274	13	12	take	take	VERB
m-274	13	13	spectral	spectral	ADJ
m-274	13	14	analysis	analysis	NOUN
m-274	13	15	as	as	ADP
m-274	13	16	harmonic	harmonic	ADJ
m-274	13	17	analysis	analysis	NOUN
m-274	13	18	and	and	CCONJ
m-274	13	19	vice	vice	NOUN
m-274	13	20	versa.brillinger(2001	versa.brillinger(2001	PROPN
m-274	13	21	)	)	PUNCT
m-274	13	22	considered	consider	VERB
m-274	13	23	harmonic	harmonic	ADJ
m-274	13	24	analysis	analysis	NOUN
m-274	13	25	as	as	ADP
m-274	13	26	a	a	DET
m-274	13	27	tool	tool	NOUN
m-274	13	28	for	for	ADP
m-274	13	29	search	search	NOUN
m-274	13	30	of	of	ADP
m-274	13	31	hidden	hide	VERB
m-274	13	32	periodicities	periodicity	NOUN
m-274	13	33	.	.	PUNCT
m-274	14	1	but	but	CCONJ
m-274	14	2	rebeca	rebeca	PROPN
m-274	14	3	(	(	PUNCT
m-274	14	4	2004	2004	NUM
m-274	14	5	)	)	PUNCT
m-274	14	6	unlike	unlike	ADP
m-274	14	7	most	most	ADJ
m-274	14	8	of	of	ADP
m-274	14	9	the	the	DET
m-274	14	10	other	other	ADJ
m-274	14	11	authors	author	NOUN
m-274	14	12	explained	explain	VERB
m-274	14	13	that	that	SCONJ
m-274	14	14	harmonic	harmonic	ADJ
m-274	14	15	analysis	analysis	NOUN
m-274	14	16	works	work	VERB
m-274	14	17	on	on	ADP
m-274	14	18	the	the	DET
m-274	14	19	assumption	assumption	NOUN
m-274	14	20	that	that	SCONJ
m-274	14	21	the	the	DET
m-274	14	22	modeler	modeler	NOUN
m-274	14	23	already	already	ADV
m-274	14	24	knows	know	VERB
m-274	14	25	the	the	DET
m-274	14	26	period	period	NOUN
m-274	14	27	,	,	PUNCT
m-274	14	28	one	one	PRON
m-274	14	29	can	can	AUX
m-274	14	30	easily	easily	ADV
m-274	14	31	set	set	VERB
m-274	14	32	up	up	ADP
m-274	14	33	a	a	DET
m-274	14	34	regression	regression	NOUN
m-274	14	35	equation	equation	NOUN
m-274	14	36	and	and	CCONJ
m-274	14	37	find	find	VERB
m-274	14	38	out	out	ADP
m-274	14	39	the	the	DET
m-274	14	40	amplitude	amplitude	NOUN
m-274	14	41	,	,	PUNCT
m-274	14	42	the	the	DET
m-274	14	43	phase	phase	NOUN
m-274	14	44	and	and	CCONJ
m-274	14	45	the	the	DET
m-274	14	46	mean	mean	NOUN
m-274	14	47	of	of	ADP
m-274	14	48	the	the	DET
m-274	14	49	signal	signal	NOUN
m-274	14	50	.	.	PUNCT
m-274	15	1	in	in	ADP
m-274	15	2	the	the	DET
m-274	15	3	analysis	analysis	NOUN
m-274	15	4	of	of	ADP
m-274	15	5	time	time	NOUN
m-274	15	6	series	series	PROPN
m-274	15	7	data	data	PROPN
m-274	15	8	,	,	PUNCT
m-274	15	9	etc	etc	X
m-274	15	10	,	,	PUNCT
m-274	15	11	it	it	PRON
m-274	15	12	is	be	AUX
m-274	15	13	often	often	ADV
m-274	15	14	necessary	necessary	ADJ
m-274	15	15	to	to	PART
m-274	15	16	identify	identify	VERB
m-274	15	17	the	the	DET
m-274	15	18	periodicities	periodicity	NOUN
m-274	15	19	in	in	ADP
m-274	15	20	the	the	DET
m-274	15	21	data	datum	NOUN
m-274	15	22	by	by	ADP
m-274	15	23	spectral	spectral	ADJ
m-274	15	24	analysis	analysis	NOUN
m-274	15	25	which	which	PRON
m-274	15	26	is	be	AUX
m-274	15	27	concerned	concern	VERB
m-274	15	28	with	with	ADP
m-274	15	29	the	the	DET
m-274	15	30	partition	partition	NOUN
m-274	15	31	of	of	ADP
m-274	15	32	the	the	DET
m-274	15	33	variation	variation	NOUN
m-274	15	34	in	in	ADP
m-274	15	35	a	a	DET
m-274	15	36	time	time	NOUN
m-274	15	37	series	series	NOUN
m-274	15	38	between	between	ADP
m-274	15	39	the	the	DET
m-274	15	40	components	component	NOUN
m-274	15	41	at	at	ADP
m-274	15	42	different	different	ADJ
m-274	15	43	frequencies	frequency	NOUN
m-274	15	44	or	or	CCONJ
m-274	15	45	periods	period	NOUN
m-274	15	46	.	.	PUNCT
m-274	16	1	in	in	ADP
m-274	16	2	spectral	spectral	ADJ
m-274	16	3	analysis	analysis	NOUN
m-274	16	4	,	,	PUNCT
m-274	16	5	if	if	SCONJ
m-274	16	6	the	the	DET
m-274	16	7	data	data	NOUN
m-274	16	8	is	be	AUX
m-274	16	9	not	not	PART
m-274	16	10	stationary	stationary	ADJ
m-274	16	11	it	it	PRON
m-274	16	12	should	should	AUX
m-274	16	13	first	first	ADV
m-274	16	14	be	be	AUX
m-274	16	15	detrended	detrende	VERB
m-274	16	16	by	by	ADP
m-274	16	17	fitting	fit	VERB
m-274	16	18	a	a	DET
m-274	16	19	proper	proper	ADJ
m-274	16	20	curve	curve	NOUN
m-274	16	21	to	to	ADP
m-274	16	22	the	the	DET
m-274	16	23	data	datum	NOUN
m-274	16	24	set	set	VERB
m-274	16	25	and	and	CCONJ
m-274	16	26	then	then	ADV
m-274	16	27	using	use	VERB
m-274	16	28	that	that	PRON
m-274	16	29	to	to	PART
m-274	16	30	remove	remove	VERB
m-274	16	31	the	the	DET
m-274	16	32	trend	trend	NOUN
m-274	16	33	.	.	PUNCT
m-274	17	1	but	but	CCONJ
m-274	17	2	if	if	SCONJ
m-274	17	3	the	the	DET
m-274	17	4	data	datum	NOUN
m-274	17	5	does	do	AUX
m-274	17	6	not	not	PART
m-274	17	7	show	show	VERB
m-274	17	8	obvious	obvious	ADJ
m-274	17	9	trend	trend	NOUN
m-274	17	10	,	,	PUNCT
m-274	17	11	one	one	PRON
m-274	17	12	can	can	AUX
m-274	17	13	then	then	ADV
m-274	17	14	remove	remove	VERB
m-274	17	15	the	the	DET
m-274	17	16	mean	mean	NOUN
m-274	17	17	and	and	CCONJ
m-274	17	18	proceed	proceed	VERB
m-274	17	19	to	to	PART
m-274	17	20	carry	carry	VERB
m-274	17	21	out	out	ADP
m-274	17	22	spectral	spectral	ADJ
m-274	17	23	analysis	analysis	NOUN
m-274	17	24	.	.	PUNCT
m-274	18	1	differencing	differencing	NOUN
m-274	18	2	can	can	AUX
m-274	18	3	also	also	ADV
m-274	18	4	be	be	AUX
m-274	18	5	employed	employ	VERB
m-274	18	6	to	to	PART
m-274	18	7	make	make	VERB
m-274	18	8	the	the	DET
m-274	18	9	data	datum	NOUN
m-274	18	10	set	set	VERB
m-274	18	11	stationary	stationary	NOUN
m-274	18	12	.	.	PUNCT
m-274	19	1	the	the	DET
m-274	19	2	number	number	NOUN
m-274	19	3	cruncher	cruncher	NOUN
m-274	19	4	statistical	statistical	ADJ
m-274	19	5	system	system	NOUN
m-274	19	6	(	(	PUNCT
m-274	19	7	ncss	ncss	PROPN
m-274	19	8	)	)	PUNCT
m-274	19	9	has	have	VERB
m-274	19	10	six	six	NUM
m-274	19	11	portions	portion	NOUN
m-274	19	12	on	on	ADP
m-274	19	13	carrying	carry	VERB
m-274	19	14	out	out	ADP
m-274	19	15	spectral	spectral	ADJ
m-274	19	16	analysis	analysis	NOUN
m-274	19	17	as	as	SCONJ
m-274	19	18	shown	show	VERB
m-274	19	19	in	in	ADP
m-274	19	20	table	table	NOUN
m-274	19	21	1	1	NUM
m-274	19	22	.	.	PUNCT
m-274	19	23	table	table	NOUN
m-274	19	24	1	1	NUM
m-274	19	25	.	.	PUNCT
m-274	19	26	fourier	fourier	ADJ
m-274	19	27	analysis	analysis	NOUN
m-274	19	28	(	(	PUNCT
m-274	19	29	p	p	X
m-274	19	30	,	,	PUNCT
m-274	19	31	q	q	ADJ
m-274	19	32	,	,	PUNCT
m-274	19	33	s	s	PROPN
m-274	19	34	,	,	PUNCT
m-274	19	35	t	t	PROPN
m-274	19	36	,	,	PUNCT
m-274	19	37	u	u	NOUN
m-274	19	38	)	)	PUNCT
m-274	19	39	(	(	PUNCT
m-274	19	40	a	a	X
m-274	19	41	)	)	PUNCT
m-274	19	42	(	(	PUNCT
m-274	19	43	b	b	X
m-274	19	44	)	)	PUNCT
m-274	19	45	(	(	PUNCT
m-274	19	46	c	c	X
m-274	19	47	(	(	PUNCT
m-274	19	48	d	d	NOUN
m-274	19	49	)	)	PUNCT
m-274	19	50	(	(	PUNCT
m-274	19	51	e	e	NOUN
m-274	19	52	)	)	PUNCT
m-274	19	53	(	(	PUNCT
m-274	19	54	f	f	X
m-274	19	55	)	)	PUNCT
m-274	19	56	frequencies	frequency	NOUN
m-274	19	57	wavelength	wavelength	VERB
m-274	19	58	period	period	NOUN
m-274	19	59	cosine	cosine	NOUN
m-274	19	60	(	(	PUNCT
m-274	19	61	�	�	PROPN
m-274	19	62	�	�	PROPN
m-274	19	63	)	)	PUNCT
m-274	19	64	sine	sine	NOUN
m-274	19	65	(	(	PUNCT
m-274	19	66	�	�	NOUN
m-274	19	67	�	�	PROPN
m-274	19	68	)	)	PUNCT
m-274	19	69	spectrum	spectrum	NOUN
m-274	20	1	but	but	CCONJ
m-274	20	2	we	we	PRON
m-274	20	3	recommend	recommend	VERB
m-274	20	4	a	a	DET
m-274	20	5	sevencolumn	sevencolumn	NOUN
m-274	20	6	portion	portion	NOUN
m-274	20	7	as	as	SCONJ
m-274	20	8	given	give	VERB
m-274	20	9	in	in	ADP
m-274	20	10	table	table	NOUN
m-274	20	11	2	2	NUM
m-274	20	12	.	.	PUNCT
m-274	21	1	so	so	ADV
m-274	21	2	as	as	SCONJ
m-274	21	3	to	to	PART
m-274	21	4	make	make	VERB
m-274	21	5	room	room	NOUN
m-274	21	6	for	for	ADP
m-274	21	7	the	the	DET
m-274	21	8	harmonic	harmonic	ADJ
m-274	21	9	number	number	NOUN
m-274	21	10	(	(	PUNCT
m-274	21	11	k	k	NOUN
m-274	21	12	)	)	PUNCT
m-274	21	13	table	table	NOUN
m-274	21	14	2	2	NUM
m-274	21	15	.	.	PUNCT
m-274	21	16	fourier	fourier	ADJ
m-274	21	17	analysis	analysis	NOUN
m-274	21	18	(	(	PUNCT
m-274	21	19	p	p	X
m-274	21	20	,	,	PUNCT
m-274	21	21	q	q	ADJ
m-274	21	22	,	,	PUNCT
m-274	21	23	s	s	PROPN
m-274	21	24	,	,	PUNCT
m-274	21	25	t	t	PROPN
m-274	21	26	,	,	PUNCT
m-274	21	27	u	u	NOUN
m-274	21	28	)	)	PUNCT
m-274	21	29	(	(	PUNCT
m-274	21	30	a	a	X
m-274	21	31	)	)	PUNCT
m-274	21	32	(	(	PUNCT
m-274	21	33	b	b	X
m-274	21	34	)	)	PUNCT
m-274	21	35	(	(	PUNCT
m-274	21	36	c	c	X
m-274	21	37	(	(	PUNCT
m-274	21	38	d	d	NOUN
m-274	21	39	)	)	PUNCT
m-274	21	40	(	(	PUNCT
m-274	21	41	e	e	NOUN
m-274	21	42	)	)	PUNCT
m-274	21	43	(	(	PUNCT
m-274	21	44	f	f	X
m-274	21	45	)	)	PUNCT
m-274	21	46	(	(	PUNCT
m-274	21	47	g	g	NOUN
m-274	21	48	)	)	PUNCT
m-274	21	49	harmonics	harmonic	NOUN
m-274	21	50	(	(	PUNCT
m-274	21	51	k	k	NOUN
m-274	21	52	)	)	PUNCT
m-274	21	53	frequencies(f	frequencies(f	PROPN
m-274	21	54	)	)	PUNCT
m-274	21	55	(	(	PUNCT
m-274	21	56	f	f	X
m-274	21	57	�	�	PROPN
m-274	21	58	)	)	PUNCT
m-274	21	59	wavelength	wavelength	NOUN
m-274	21	60	l	l	NOUN
m-274	21	61	=	=	SYM
m-274	21	62	�	�	PROPN
m-274	21	63	�	�	PROPN
m-274	21	64	period	period	NOUN
m-274	21	65	cosine	cosine	NOUN
m-274	21	66	(	(	PUNCT
m-274	21	67	�	�	PROPN
m-274	21	68	�	�	PROPN
m-274	21	69	)	)	PUNCT
m-274	21	70	sine	sine	NOUN
m-274	21	71	(	(	PUNCT
m-274	21	72	�	�	NOUN
m-274	21	73	�	�	PROPN
m-274	21	74	)	)	PUNCT
m-274	21	75	spectrum	spectrum	NOUN
m-274	21	76	where	where	SCONJ
m-274	21	77	,	,	PUNCT
m-274	21	78	�	�	PROPN
m-274	21	79	�	�	PROPN
m-274	21	80	=	=	SYM
m-274	21	81	�	�	PROPN
m-274	21	82	�	�	PROPN
m-274	21	83	∗	∗	PROPN
m-274	21	84	∑	∑	PUNCT
m-274	21	85	�	�	PROPN
m-274	21	86	�	�	PROPN
m-274	21	87	�	�	PROPN
m-274	21	88	�	�	PROPN
m-274	21	89	�	�	PROPN
m-274	21	90	�	�	PROPN
m-274	21	91	�	�	PROPN
m-274	21	92	∗	∗	NUM
m-274	21	93	cos(ɵ	cos(ɵ	VERB
m-274	21	94	�	�	PROPN
m-274	21	95	)	)	PUNCT
m-274	21	96	�	�	PROPN
m-274	21	97	�	�	PROPN
m-274	21	98	=	=	SYM
m-274	21	99	�	�	PROPN
m-274	21	100	�	�	PROPN
m-274	21	101	∗	∗	PROPN
m-274	21	102	∑	∑	PUNCT
m-274	21	103	�	�	PROPN
m-274	21	104	�	�	PROPN
m-274	21	105	�	�	PROPN
m-274	21	106	�	�	PROPN
m-274	21	107	�	�	PROPN
m-274	21	108	�	�	PROPN
m-274	21	109	�	�	PROPN
m-274	21	110	∗	∗	VERB
m-274	21	111	sin(ɵ	sin(ɵ	PROPN
m-274	21	112	�	�	PROPN
m-274	21	113	)	)	PUNCT
m-274	21	114	ijo	ijo	PROPN
m-274	21	115	international	international	PROPN
m-274	21	116	journal	journal	PROPN
m-274	21	117	of	of	ADP
m-274	21	118	mathematics	mathematics	PROPN
m-274	21	119	volume	volume	NOUN
m-274	21	120	03	03	NUM
m-274	22	1	|issue	|issue	NOUN
m-274	22	2	01	01	NUM
m-274	23	1	|	|	CCONJ
m-274	23	2	january	january	PROPN
m-274	23	3	2020	2020	NUM
m-274	24	1	www.ijojournals.com	www.ijojournals.com	X
m-274	24	2	2	2	NUM
m-274	24	3	the	the	DET
m-274	24	4	data	data	NOUN
m-274	24	5	points	point	NOUN
m-274	24	6	are	be	AUX
m-274	24	7	:	:	PUNCT
m-274	24	8	�	�	PROPN
m-274	24	9	�	�	PROPN
m-274	24	10	=(	=(	PROPN
m-274	24	11	�	�	PROPN
m-274	24	12	�	�	PROPN
m-274	24	13	,	,	PUNCT
m-274	24	14	�	�	PROPN
m-274	24	15	�	�	PROPN
m-274	24	16	,	,	PUNCT
m-274	24	17	…	…	SYM
m-274	24	18	�	�	PROPN
m-274	24	19	�	�	PROPN
m-274	24	20	)	)	PUNCT
m-274	25	1	k	k	PROPN
m-274	25	2	=	=	SYM
m-274	25	3	�	�	PROPN
m-274	25	4	�	�	PROPN
m-274	25	5	for	for	ADP
m-274	25	6	even	even	ADV
m-274	25	7	number	number	NOUN
m-274	25	8	of	of	ADP
m-274	25	9	data	datum	NOUN
m-274	25	10	points	point	NOUN
m-274	25	11	,	,	PUNCT
m-274	25	12	or	or	CCONJ
m-274	25	13	�	�	PROPN
m-274	25	14	�	�	PROPN
m-274	25	15	�	�	PROPN
m-274	25	16	�	�	PROPN
m-274	25	17	for	for	ADP
m-274	25	18	odd	odd	ADJ
m-274	25	19	numbered	numbered	ADJ
m-274	25	20	data	data	NOUN
m-274	25	21	points	point	NOUN
m-274	25	22	.	.	PUNCT
m-274	26	1	when	when	SCONJ
m-274	26	2	the	the	DET
m-274	26	3	data	datum	NOUN
m-274	26	4	has	have	VERB
m-274	26	5	a	a	DET
m-274	26	6	clear	clear	ADJ
m-274	26	7	seasonal	seasonal	ADJ
m-274	26	8	length	length	NOUN
m-274	26	9	,	,	PUNCT
m-274	26	10	l	l	NOUN
m-274	26	11	,	,	PUNCT
m-274	26	12	then	then	ADV
m-274	26	13	k	k	PROPN
m-274	26	14	=	=	SYM
m-274	26	15	�	�	PROPN
m-274	26	16	�	�	PROPN
m-274	26	17	the	the	DET
m-274	26	18	column	column	NOUN
m-274	26	19	headed	head	VERB
m-274	26	20	spectrum	spectrum	NOUN
m-274	26	21	shows	show	VERB
m-274	26	22	the	the	DET
m-274	26	23	amount	amount	NOUN
m-274	26	24	of	of	ADP
m-274	26	25	energy	energy	NOUN
m-274	26	26	or	or	CCONJ
m-274	26	27	proportion	proportion	NOUN
m-274	26	28	of	of	ADP
m-274	26	29	the	the	DET
m-274	26	30	contribution	contribution	NOUN
m-274	26	31	of	of	ADP
m-274	26	32	each	each	PRON
m-274	26	33	of	of	ADP
m-274	26	34	the	the	DET
m-274	26	35	frequencies	frequency	NOUN
m-274	26	36	to	to	ADP
m-274	26	37	the	the	DET
m-274	26	38	variance	variance	NOUN
m-274	26	39	of	of	ADP
m-274	26	40	the	the	DET
m-274	26	41	series	series	NOUN
m-274	26	42	.	.	PUNCT
m-274	27	1	spectral	spectral	ADJ
m-274	27	2	analysis	analysis	NOUN
m-274	27	3	also	also	ADV
m-274	27	4	makes	make	VERB
m-274	27	5	the	the	DET
m-274	27	6	plots	plot	NOUN
m-274	27	7	of	of	ADP
m-274	27	8	the	the	DET
m-274	27	9	spectrum	spectrum	NOUN
m-274	27	10	against	against	ADP
m-274	27	11	each	each	PRON
m-274	27	12	of	of	ADP
m-274	27	13	the	the	DET
m-274	27	14	following	follow	VERB
m-274	27	15	items	item	NOUN
m-274	27	16	:	:	PUNCT
m-274	27	17	time	time	NOUN
m-274	27	18	,	,	PUNCT
m-274	27	19	wavelength	wavelength	NOUN
m-274	27	20	,	,	PUNCT
m-274	27	21	and	and	CCONJ
m-274	27	22	,	,	PUNCT
m-274	27	23	frequency	frequency	NOUN
m-274	27	24	it	it	PRON
m-274	27	25	is	be	AUX
m-274	27	26	the	the	DET
m-274	27	27	spectral	spectral	ADJ
m-274	27	28	analysis	analysis	NOUN
m-274	27	29	that	that	PRON
m-274	27	30	helps	help	VERB
m-274	27	31	one	one	PRON
m-274	27	32	to	to	PART
m-274	27	33	begin	begin	VERB
m-274	27	34	to	to	PART
m-274	27	35	think	think	VERB
m-274	27	36	of	of	ADP
m-274	27	37	the	the	DET
m-274	27	38	frequencies	frequency	NOUN
m-274	27	39	/wavelength	/wavelength	PRON
m-274	28	1	that	that	PRON
m-274	28	2	will	will	AUX
m-274	28	3	enter	enter	VERB
m-274	28	4	into	into	ADP
m-274	28	5	the	the	DET
m-274	28	6	model	model	NOUN
m-274	28	7	building	building	NOUN
m-274	28	8	process	process	NOUN
m-274	28	9	.	.	PUNCT
m-274	29	1	spectral	spectral	ADJ
m-274	29	2	analysis	analysis	NOUN
m-274	29	3	does	do	AUX
m-274	29	4	not	not	PART
m-274	29	5	give	give	VERB
m-274	29	6	the	the	DET
m-274	29	7	model	model	NOUN
m-274	29	8	,	,	PUNCT
m-274	29	9	the	the	DET
m-274	29	10	phase	phase	NOUN
m-274	29	11	angels	angel	NOUN
m-274	29	12	and	and	CCONJ
m-274	29	13	makes	make	VERB
m-274	29	14	no	no	DET
m-274	29	15	prediction	prediction	NOUN
m-274	29	16	from	from	ADP
m-274	29	17	the	the	DET
m-274	29	18	data	datum	NOUN
m-274	29	19	.	.	PUNCT
m-274	30	1	in	in	ADP
m-274	30	2	harmonic	harmonic	ADJ
m-274	30	3	analysis	analysis	NOUN
m-274	30	4	,	,	PUNCT
m-274	30	5	one	one	PRON
m-274	30	6	uses	use	VERB
m-274	30	7	the	the	DET
m-274	30	8	frequencies	frequency	NOUN
m-274	30	9	identified	identify	VERB
m-274	30	10	from	from	ADP
m-274	30	11	spectral	spectral	ADJ
m-274	30	12	analysis	analysis	NOUN
m-274	30	13	to	to	PART
m-274	30	14	form	form	VERB
m-274	30	15	a	a	DET
m-274	30	16	model	model	NOUN
m-274	30	17	and	and	CCONJ
m-274	30	18	harmonic	harmonic	ADJ
m-274	30	19	analysis	analysis	NOUN
m-274	30	20	gives	give	VERB
m-274	30	21	about	about	ADV
m-274	30	22	eight	eight	NUM
m-274	30	23	different	different	ADJ
m-274	30	24	specific	specific	ADJ
m-274	30	25	results	result	NOUN
m-274	30	26	as	as	SCONJ
m-274	30	27	shown	show	VERB
m-274	30	28	through	through	ADP
m-274	30	29	table	table	NOUN
m-274	30	30	3	3	NUM
m-274	30	31	to	to	ADP
m-274	30	32	table	table	NOUN
m-274	30	33	10.fourier	10.fourier	NUM
m-274	30	34	analysis	analysis	NOUN
m-274	30	35	is	be	AUX
m-274	30	36	part	part	NOUN
m-274	30	37	of	of	ADP
m-274	30	38	harmonic	harmonic	ADJ
m-274	30	39	analysis	analysis	NOUN
m-274	30	40	,	,	PUNCT
m-274	30	41	but	but	CCONJ
m-274	30	42	in	in	ADP
m-274	30	43	literature	literature	NOUN
m-274	30	44	,	,	PUNCT
m-274	30	45	most	most	ADJ
m-274	30	46	authors	author	NOUN
m-274	30	47	’	'	PUNCT
m-274	30	48	mistake	mistake	VERB
m-274	30	49	spectral	spectral	ADJ
m-274	30	50	analysis	analysis	NOUN
m-274	30	51	for	for	ADP
m-274	30	52	harmonic	harmonic	ADJ
m-274	30	53	analysis	analysis	NOUN
m-274	30	54	and	and	CCONJ
m-274	30	55	most	most	ADJ
m-274	30	56	statistical	statistical	ADJ
m-274	30	57	software	software	NOUN
m-274	30	58	’s	’	VERB
m-274	30	59	also	also	ADV
m-274	30	60	fall	fall	VERB
m-274	30	61	into	into	ADP
m-274	30	62	the	the	DET
m-274	30	63	same	same	ADJ
m-274	30	64	misconception	misconception	NOUN
m-274	30	65	,	,	PUNCT
m-274	30	66	but	but	CCONJ
m-274	30	67	the	the	DET
m-274	30	68	use	use	NOUN
m-274	30	69	of	of	ADP
m-274	30	70	the	the	DET
m-274	30	71	number	number	NOUN
m-274	30	72	cruncher	cruncher	NOUN
m-274	30	73	statistical	statistical	ADJ
m-274	30	74	system(ncss	system(ncss	PROPN
m-274	30	75	)	)	PUNCT
m-274	30	76	,	,	PUNCT
m-274	30	77	illustrates	illustrate	VERB
m-274	30	78	the	the	DET
m-274	30	79	role	role	NOUN
m-274	30	80	of	of	ADP
m-274	30	81	either	either	CCONJ
m-274	30	82	spectral	spectral	ADJ
m-274	30	83	analysis	analysis	NOUN
m-274	30	84	or	or	CCONJ
m-274	30	85	harmonic	harmonic	ADJ
m-274	30	86	analysis	analysis	NOUN
m-274	30	87	.	.	PUNCT
m-274	31	1	2	2	X
m-274	31	2	.	.	X
m-274	31	3	statement	statement	NOUN
m-274	31	4	of	of	ADP
m-274	31	5	the	the	DET
m-274	31	6	problem	problem	NOUN
m-274	31	7	.	.	PUNCT
m-274	32	1	in	in	ADP
m-274	32	2	order	order	NOUN
m-274	32	3	to	to	PART
m-274	32	4	carry	carry	VERB
m-274	32	5	out	out	ADP
m-274	32	6	a	a	DET
m-274	32	7	fourier	fourier	NOUN
m-274	32	8	series	series	NOUN
m-274	32	9	analysis	analysis	NOUN
m-274	32	10	of	of	ADP
m-274	32	11	any	any	DET
m-274	32	12	time	time	NOUN
m-274	32	13	series	series	PROPN
m-274	32	14	data	data	PROPN
m-274	32	15	,	,	PUNCT
m-274	32	16	one	one	PRON
m-274	32	17	must	must	AUX
m-274	32	18	use	use	VERB
m-274	32	19	the	the	DET
m-274	32	20	periodic	periodic	ADJ
m-274	32	21	components	component	NOUN
m-274	32	22	and	and	CCONJ
m-274	32	23	time	time	NOUN
m-274	32	24	series	series	PROPN
m-274	32	25	data	datum	NOUN
m-274	32	26	are	be	AUX
m-274	32	27	seasonal	seasonal	ADJ
m-274	32	28	or	or	CCONJ
m-274	32	29	periodic	periodic	ADJ
m-274	32	30	and	and	CCONJ
m-274	32	31	more	more	ADV
m-274	32	32	often	often	ADV
m-274	32	33	than	than	SCONJ
m-274	32	34	not	not	PART
m-274	32	35	these	these	DET
m-274	32	36	periodicities	periodicity	NOUN
m-274	32	37	are	be	AUX
m-274	32	38	hidden	hide	VERB
m-274	32	39	.	.	PUNCT
m-274	33	1	to	to	PART
m-274	33	2	unmask	unmask	VERB
m-274	33	3	the	the	DET
m-274	33	4	hidden	hidden	ADJ
m-274	33	5	periodic	periodic	ADJ
m-274	33	6	components	component	NOUN
m-274	33	7	spectral	spectral	ADJ
m-274	33	8	analysis	analysis	NOUN
m-274	33	9	needs	need	VERB
m-274	33	10	to	to	PART
m-274	33	11	be	be	AUX
m-274	33	12	performed	perform	VERB
m-274	33	13	on	on	ADP
m-274	33	14	the	the	DET
m-274	33	15	data	datum	NOUN
m-274	33	16	set	set	VERB
m-274	33	17	.	.	PUNCT
m-274	34	1	results	result	NOUN
m-274	34	2	from	from	ADP
m-274	34	3	spectral	spectral	ADJ
m-274	34	4	analysis	analysis	NOUN
m-274	34	5	are	be	AUX
m-274	34	6	then	then	ADV
m-274	34	7	used	use	VERB
m-274	34	8	to	to	PART
m-274	34	9	perform	perform	VERB
m-274	34	10	harmonic	harmonic	ADJ
m-274	34	11	analysis	analysis	NOUN
m-274	34	12	through	through	ADP
m-274	34	13	fourier	fourier	ADJ
m-274	34	14	series	series	PROPN
m-274	34	15	analysis	analysis	NOUN
m-274	34	16	.	.	PUNCT
m-274	35	1	there	there	PRON
m-274	35	2	is	be	VERB
m-274	35	3	therefore	therefore	ADV
m-274	35	4	the	the	DET
m-274	35	5	need	need	NOUN
m-274	35	6	to	to	PART
m-274	35	7	make	make	VERB
m-274	35	8	a	a	DET
m-274	35	9	clear	clear	ADJ
m-274	35	10	distinction	distinction	NOUN
m-274	35	11	between	between	ADP
m-274	35	12	spectral	spectral	ADJ
m-274	35	13	analysis	analysis	NOUN
m-274	35	14	and	and	CCONJ
m-274	35	15	harmonic	harmonic	ADJ
m-274	35	16	analysis	analysis	NOUN
m-274	35	17	in	in	ADP
m-274	35	18	the	the	DET
m-274	35	19	fourier	fourier	ADJ
m-274	35	20	analysis	analysis	NOUN
m-274	35	21	of	of	ADP
m-274	35	22	time	time	NOUN
m-274	35	23	series	series	PROPN
m-274	35	24	data	datum	NOUN
m-274	35	25	.	.	PUNCT
m-274	36	1	3	3	X
m-274	36	2	.	.	X
m-274	36	3	aim	aim	VERB
m-274	36	4	the	the	DET
m-274	36	5	aim	aim	NOUN
m-274	36	6	of	of	ADP
m-274	36	7	this	this	DET
m-274	36	8	study	study	NOUN
m-274	36	9	is	be	AUX
m-274	36	10	to	to	PART
m-274	36	11	show	show	VERB
m-274	36	12	the	the	DET
m-274	36	13	difference	difference	NOUN
m-274	36	14	between	between	ADP
m-274	36	15	spectral	spectral	ADJ
m-274	36	16	analysis	analysis	NOUN
m-274	36	17	and	and	CCONJ
m-274	36	18	harmonic	harmonic	ADJ
m-274	36	19	analysis	analysis	NOUN
m-274	36	20	in	in	ADP
m-274	36	21	the	the	DET
m-274	36	22	analysis	analysis	NOUN
m-274	36	23	of	of	ADP
m-274	36	24	time	time	NOUN
m-274	36	25	series	series	PROPN
m-274	36	26	data	datum	NOUN
m-274	36	27	through	through	ADP
m-274	36	28	a	a	DET
m-274	36	29	worked	work	VERB
m-274	36	30	example	example	NOUN
m-274	36	31	using	use	VERB
m-274	36	32	the	the	DET
m-274	36	33	number	number	NOUN
m-274	36	34	cruncher	cruncher	NOUN
m-274	36	35	statistical	statistical	ADJ
m-274	36	36	system	system	NOUN
m-274	36	37	.	.	PUNCT
m-274	37	1	4	4	X
m-274	37	2	.	.	X
m-274	37	3	data	datum	NOUN
m-274	37	4	source	source	NOUN
m-274	37	5	and	and	CCONJ
m-274	37	6	materials	material	NOUN
m-274	37	7	used	use	VERB
m-274	37	8	.	.	PUNCT
m-274	38	1	the	the	DET
m-274	38	2	data	datum	NOUN
m-274	38	3	set	set	VERB
m-274	38	4	used	use	VERB
m-274	38	5	in	in	ADP
m-274	38	6	this	this	DET
m-274	38	7	work	work	NOUN
m-274	38	8	is	be	AUX
m-274	38	9	the	the	DET
m-274	38	10	sales	sale	NOUN
m-274	38	11	of	of	ADP
m-274	38	12	bags	bag	NOUN
m-274	38	13	of	of	ADP
m-274	38	14	cement	cement	NOUN
m-274	38	15	obtained	obtain	VERB
m-274	38	16	from	from	ADP
m-274	38	17	ogwumabiri	ogwumabiri	NOUN
m-274	38	18	market	market	NOUN
m-274	38	19	in	in	ADP
m-274	38	20	obowo	obowo	PROPN
m-274	38	21	local	local	ADJ
m-274	38	22	government	government	NOUN
m-274	38	23	area	area	NOUN
m-274	38	24	of	of	ADP
m-274	38	25	imo	imo	PROPN
m-274	38	26	state	state	PROPN
m-274	38	27	,	,	PUNCT
m-274	38	28	nigeria	nigeria	PROPN
m-274	38	29	and	and	CCONJ
m-274	38	30	this	this	PRON
m-274	38	31	is	be	AUX
m-274	38	32	shown	show	VERB
m-274	38	33	graphically	graphically	ADV
m-274	38	34	in	in	ADP
m-274	38	35	figure	figure	NOUN
m-274	38	36	1	1	NUM
m-274	38	37	and	and	CCONJ
m-274	38	38	the	the	DET
m-274	38	39	data	datum	NOUN
m-274	38	40	set	set	VERB
m-274	38	41	is	be	AUX
m-274	38	42	shown	show	VERB
m-274	38	43	in	in	ADP
m-274	38	44	table	table	NOUN
m-274	38	45	1.the	1.the	DET
m-274	38	46	software	software	NOUN
m-274	38	47	used	use	VERB
m-274	38	48	to	to	PART
m-274	38	49	do	do	VERB
m-274	38	50	the	the	DET
m-274	38	51	analysis	analysis	NOUN
m-274	38	52	of	of	ADP
m-274	38	53	date	date	NOUN
m-274	38	54	was	be	AUX
m-274	38	55	the	the	DET
m-274	38	56	number	number	NOUN
m-274	38	57	cruncher	cruncher	NOUN
m-274	38	58	statistical	statistical	ADJ
m-274	38	59	system	system	NOUN
m-274	38	60	(	(	PUNCT
m-274	38	61	nccs2019	nccs2019	PROPN
m-274	38	62	)	)	PUNCT
m-274	38	63	by	by	ADP
m-274	38	64	chris	chris	PROPN
m-274	38	65	hintz	hintz	PROPN
m-274	38	66	ijo	ijo	PROPN
m-274	38	67	international	international	PROPN
m-274	38	68	journal	journal	PROPN
m-274	38	69	of	of	ADP
m-274	38	70	mathematics	mathematics	PROPN
m-274	38	71	volume	volume	NOUN
m-274	38	72	03	03	NUM
m-274	38	73	|issue	|issue	NOUN
m-274	38	74	01	01	NUM
m-274	39	1	|	|	CCONJ
m-274	39	2	january	january	PROPN
m-274	39	3	2020	2020	NUM
m-274	39	4	www.ijojournals.com	www.ijojournals.com	X
m-274	39	5	3	3	NUM
m-274	40	1	fig.1.monthly	fig.1.monthly	NOUN
m-274	40	2	sales	sale	NOUN
m-274	40	3	of	of	ADP
m-274	40	4	cement	cement	NOUN
m-274	40	5	2010	2010	NUM
m-274	40	6	to	to	ADP
m-274	40	7	2018	2018	NUM
m-274	40	8	table	table	NOUN
m-274	40	9	1.sales	1.sales	NUM
m-274	40	10	of	of	ADP
m-274	40	11	cement	cement	NOUN
m-274	40	12	2010	2010	NUM
m-274	40	13	to	to	ADP
m-274	40	14	2017	2017	NUM
m-274	40	15	year	year	NOUN
m-274	40	16	month/	month/	NUM
m-274	40	17	2010	2010	NUM
m-274	40	18	2011	2011	NUM
m-274	40	19	2012	2012	NUM
m-274	40	20	2013	2013	NUM
m-274	40	21	2014	2014	NUM
m-274	40	22	2015	2015	NUM
m-274	40	23	2016	2016	NUM
m-274	40	24	2017	2017	NUM
m-274	40	25	2018	2018	NUM
m-274	40	26	jan	jan	NOUN
m-274	40	27	300	300	NUM
m-274	40	28	330	330	NUM
m-274	41	1	310	310	NUM
m-274	41	2	350	350	NUM
m-274	41	3	420	420	NUM
m-274	41	4	480	480	NUM
m-274	41	5	530	530	NUM
m-274	41	6	490	490	NUM
m-274	41	7	653	653	NUM
m-274	41	8	feb	feb	NOUN
m-274	41	9	345	345	NUM
m-274	41	10	355	355	NUM
m-274	41	11	345	345	NUM
m-274	41	12	368	368	NUM
m-274	41	13	530	530	NUM
m-274	41	14	560	560	NUM
m-274	41	15	590	590	NUM
m-274	41	16	540	540	NUM
m-274	41	17	640	640	NUM
m-274	41	18	marc	marc	NOUN
m-274	41	19	420	420	NUM
m-274	41	20	450	450	NUM
m-274	41	21	460	460	NUM
m-274	41	22	480	480	NUM
m-274	41	23	590	590	NUM
m-274	41	24	610	610	NUM
m-274	41	25	760	760	NUM
m-274	41	26	690	690	NUM
m-274	41	27	670	670	NUM
m-274	41	28	apr	apr	NOUN
m-274	41	29	350	350	NUM
m-274	41	30	370	370	NUM
m-274	41	31	390	390	NUM
m-274	41	32	410	410	NUM
m-274	41	33	500	500	NUM
m-274	41	34	520	520	NUM
m-274	41	35	580	580	NUM
m-274	41	36	560	560	NUM
m-274	41	37	690	690	NUM
m-274	41	38	may	may	AUX
m-274	41	39	290	290	NUM
m-274	41	40	350	350	NUM
m-274	41	41	360	360	NUM
m-274	41	42	390	390	NUM
m-274	41	43	480	480	NUM
m-274	41	44	490	490	NUM
m-274	41	45	560	560	NUM
m-274	41	46	530	530	NUM
m-274	41	47	610	610	NUM
m-274	41	48	jun	jun	PROPN
m-274	41	49	320	320	NUM
m-274	41	50	330	330	NUM
m-274	41	51	345	345	NUM
m-274	41	52	360	360	NUM
m-274	41	53	450	450	NUM
m-274	41	54	460	460	NUM
m-274	41	55	530	530	NUM
m-274	41	56	500	500	NUM
m-274	41	57	570	570	NUM
m-274	41	58	jul	jul	NOUN
m-274	41	59	280	280	NUM
m-274	41	60	300	300	NUM
m-274	41	61	320	320	NUM
m-274	41	62	340	340	NUM
m-274	41	63	390	390	NUM
m-274	41	64	400	400	NUM
m-274	41	65	500	500	NUM
m-274	41	66	490	490	NUM
m-274	41	67	600	600	NUM
m-274	41	68	aug	aug	PROPN
m-274	41	69	340	340	NUM
m-274	41	70	360	360	NUM
m-274	41	71	370	370	NUM
m-274	41	72	390	390	NUM
m-274	41	73	490	490	NUM
m-274	41	74	530	530	NUM
m-274	41	75	580	580	NUM
m-274	41	76	560	560	NUM
m-274	41	77	640	640	NUM
m-274	41	78	sep	sep	NOUN
m-274	41	79	370	370	NUM
m-274	41	80	390	390	NUM
m-274	41	81	410	410	NUM
m-274	41	82	450	450	NUM
m-274	41	83	510	510	NUM
m-274	41	84	590	590	NUM
m-274	41	85	630	630	NUM
m-274	41	86	640	640	NUM
m-274	41	87	662	662	NUM
m-274	41	88	oct	oct	NOUN
m-274	41	89	390	390	NUM
m-274	41	90	420	420	NUM
m-274	41	91	450	450	NUM
m-274	41	92	470	470	NUM
m-274	41	93	570	570	NUM
m-274	41	94	635	635	NUM
m-274	41	95	690	690	NUM
m-274	41	96	695	695	NUM
m-274	41	97	735	735	NUM
m-274	41	98	nov	nov	NOUN
m-274	41	99	430	430	NUM
m-274	41	100	470	470	NUM
m-274	41	101	490	490	NUM
m-274	41	102	560	560	NUM
m-274	41	103	630	630	NUM
m-274	41	104	690	690	NUM
m-274	41	105	740	740	NUM
m-274	41	106	760	760	NUM
m-274	41	107	790	790	NUM
m-274	41	108	dec	dec	PROPN
m-274	41	109	500	500	NUM
m-274	41	110	540	540	NUM
m-274	41	111	690	690	NUM
m-274	41	112	675	675	NUM
m-274	41	113	740	740	NUM
m-274	41	114	730	730	NUM
m-274	41	115	800	800	NUM
m-274	41	116	820	820	NUM
m-274	41	117	830	830	NUM
m-274	41	118	5	5	NUM
m-274	41	119	.	.	PUNCT
m-274	41	120	methodology	methodology	NOUN
m-274	41	121	the	the	DET
m-274	41	122	data	datum	NOUN
m-274	41	123	was	be	AUX
m-274	41	124	first	first	ADV
m-274	41	125	subjected	subject	VERB
m-274	41	126	to	to	ADP
m-274	41	127	outlier	outlier	NOUN
m-274	41	128	test	test	NOUN
m-274	41	129	by	by	ADP
m-274	41	130	the	the	DET
m-274	41	131	grubbs	grubbs	PROPN
m-274	41	132	test	test	NOUN
m-274	41	133	for	for	ADP
m-274	41	134	outliers	outlier	NOUN
m-274	41	135	and	and	CCONJ
m-274	41	136	the	the	DET
m-274	41	137	(	(	PUNCT
m-274	41	138	ncss	ncss	PROPN
m-274	41	139	2019	2019	NUM
m-274	41	140	)	)	PUNCT
m-274	41	141	found	find	VERB
m-274	41	142	are	be	AUX
m-274	41	143	no	no	DET
m-274	41	144	outliers	outlier	NOUN
m-274	41	145	.	.	PUNCT
m-274	42	1	51	51	NUM
m-274	42	2	.	.	PUNCT
m-274	42	3	spectral	spectral	ADJ
m-274	42	4	analysis	analysis	NOUN
m-274	42	5	the	the	DET
m-274	42	6	software	software	NOUN
m-274	42	7	(	(	PUNCT
m-274	42	8	ncss2019	ncss2019	PROPN
m-274	42	9	)	)	PUNCT
m-274	42	10	gave	give	VERB
m-274	42	11	the	the	DET
m-274	42	12	spectral	spectral	ADJ
m-274	42	13	analysis	analysis	NOUN
m-274	42	14	results	result	NOUN
m-274	42	15	in	in	ADP
m-274	42	16	two	two	NUM
m-274	42	17	folds	fold	NOUN
m-274	42	18	as	as	SCONJ
m-274	42	19	will	will	AUX
m-274	42	20	be	be	AUX
m-274	42	21	shown	show	VERB
m-274	42	22	in	in	ADP
m-274	42	23	the	the	DET
m-274	42	24	sequel	sequel	NOUN
m-274	42	25	,	,	PUNCT
m-274	42	26	it	it	PRON
m-274	42	27	removed	remove	VERB
m-274	42	28	the	the	DET
m-274	42	29	trend	trend	NOUN
m-274	42	30	as	as	SCONJ
m-274	42	31	the	the	DET
m-274	42	32	data	datum	NOUN
m-274	42	33	displayed	display	VERB
m-274	42	34	in	in	ADP
m-274	42	35	table	table	NOUN
m-274	42	36	1	1	NUM
m-274	42	37	.	.	PUNCT
m-274	42	38	depicts	depict	VERB
m-274	42	39	trending	trending	NOUN
m-274	42	40	pattern	pattern	NOUN
m-274	42	41	.	.	PUNCT
m-274	43	1	note	note	VERB
m-274	43	2	that	that	SCONJ
m-274	43	3	if	if	SCONJ
m-274	43	4	the	the	DET
m-274	43	5	data	datum	NOUN
m-274	43	6	has	have	VERB
m-274	43	7	no	no	DET
m-274	43	8	trend	trend	NOUN
m-274	43	9	,	,	PUNCT
m-274	43	10	the	the	DET
m-274	43	11	mean	mean	NOUN
m-274	43	12	will	will	AUX
m-274	43	13	be	be	AUX
m-274	43	14	then	then	ADV
m-274	43	15	removed	remove	VERB
m-274	43	16	from	from	ADP
m-274	43	17	the	the	DET
m-274	43	18	data.the	data.the	DET
m-274	43	19	spectral	spectral	ADJ
m-274	43	20	plots	plot	NOUN
m-274	43	21	are	be	AUX
m-274	43	22	displayed	display	VERB
m-274	43	23	in	in	ADP
m-274	43	24	figures	figure	NOUN
m-274	43	25	2	2	NUM
m-274	43	26	and	and	CCONJ
m-274	43	27	3	3	NUM
m-274	43	28	.	.	PUNCT
m-274	44	1	fig.2	fig.2	NOUN
m-274	44	2	.plot	.plot	NOUN
m-274	44	3	of	of	ADP
m-274	44	4	periodogram	periodogram	NOUN
m-274	44	5	against	against	ADP
m-274	44	6	frequency	frequency	NOUN
m-274	44	7	.	.	PUNCT
m-274	45	1	0	0	NUM
m-274	46	1	200	200	NUM
m-274	46	2	400	400	NUM
m-274	46	3	600	600	NUM
m-274	46	4	800	800	NUM
m-274	46	5	1000	1000	NUM
m-274	46	6	1	1	NUM
m-274	46	7	5	5	NUM
m-274	46	8	9	9	NUM
m-274	46	9	131721252933374145495357616569737781858993	131721252933374145495357616569737781858993	NUM
m-274	46	10	series1	series1	PROPN
m-274	46	11	ijo	ijo	PROPN
m-274	46	12	international	international	PROPN
m-274	46	13	journal	journal	PROPN
m-274	46	14	of	of	ADP
m-274	46	15	mathematics	mathematics	PROPN
m-274	46	16	volume	volume	NOUN
m-274	46	17	03	03	NUM
m-274	46	18	|issue	|issue	NOUN
m-274	46	19	01	01	NUM
m-274	47	1	|	|	CCONJ
m-274	47	2	january	january	PROPN
m-274	47	3	2020	2020	NUM
m-274	47	4	www.ijojournals.com	www.ijojournals.com	X
m-274	47	5	4	4	NUM
m-274	47	6	fig.2.plot	fig.2.plot	NUM
m-274	47	7	of	of	ADP
m-274	47	8	periodogram	periodogram	NOUN
m-274	47	9	against	against	ADP
m-274	47	10	wavelength	wavelength	NOUN
m-274	47	11	table	table	NOUN
m-274	47	12	2.spectral	2.spectral	NUM
m-274	47	13	analysis	analysis	NOUN
m-274	47	14	results	result	VERB
m-274	47	15	sales	sale	NOUN
m-274	47	16	of	of	ADP
m-274	47	17	cement	cement	NOUN
m-274	47	18	(	(	PUNCT
m-274	47	19	k)harmonic	k)harmonic	ADJ
m-274	47	20	frequency	frequency	NOUN
m-274	47	21	wavelength	wavelength	NOUN
m-274	47	22	period	period	NOUN
m-274	47	23	cosine(a	cosine(a	PROPN
m-274	47	24	's	's	PART
m-274	47	25	)	)	PUNCT
m-274	47	26	sine(b	sine(b	NOUN
m-274	47	27	's	's	PART
m-274	47	28	)	)	PUNCT
m-274	47	29	spectrum	spectrum	VERB
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m-274	47	32	48.50526	48.50526	NUM
m-274	47	33	16617.3	16617.3	NUM
m-274	47	34	32.59697	32.59697	NUM
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m-274	47	36	1.00e+33	1.00e+33	NUM
m-274	47	37	2	2	NUM
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m-274	47	39	32.4507	32.4507	NUM
m-274	47	40	43948.08	43948.08	NUM
m-274	47	41	73.84023	73.84023	NUM
m-274	47	42	18.99913	18.99913	NUM
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m-274	48	4	24.38095	24.38095	NUM
m-274	48	5	29364.56	29364.56	NUM
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m-274	48	7	32.06624	32.06624	NUM
m-274	48	8	1.00e+33	1.00e+33	NUM
m-274	48	9	4	4	NUM
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m-274	48	11	19.52542	19.52542	NUM
m-274	48	12	38437.91	38437.91	NUM
m-274	48	13	-71.1648	-71.1648	ADP
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m-274	48	15	1.00e+33	1.00e+33	NUM
m-274	48	16	5	5	NUM
m-274	48	17	0.385881	0.385881	NUM
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m-274	48	19	16091.53	16091.53	NUM
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m-274	48	22	1.00e+33	1.00e+33	NUM
m-274	48	23	6	6	NUM
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m-274	48	26	103884.1	103884.1	NUM
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m-274	48	30	7	7	NUM
m-274	48	31	0.514054	0.514054	NUM
m-274	48	32	12.22281	12.22281	NUM
m-274	48	33	2.15e+07	2.15e+07	NUM
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m-274	48	42	95.39722	95.39722	NUM
m-274	48	43	1.00e+33	1.00e+33	NUM
m-274	48	44	9	9	NUM
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m-274	48	48	173.7618	173.7618	NUM
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m-274	48	57	1.00e+33	1.00e+33	NUM
m-274	48	58	11	11	NUM
m-274	48	59	0.770399	0.770399	NUM
m-274	48	60	8.155752	8.155752	NUM
m-274	48	61	613223.8	613223.8	NUM
m-274	48	62	227.667	227.667	NUM
m-274	48	63	-171.124	-171.124	NOUN
m-274	48	64	1.00e+33	1.00e+33	NUM
m-274	48	65	12	12	NUM
m-274	48	66	0.834486	0.834486	NUM
m-274	48	67	7.529412	7.529412	NUM
m-274	48	68	1110957	1110957	NUM
m-274	48	69	-370.889	-370.889	NUM
m-274	48	70	-96.9354	-96.9354	SYM
m-274	48	71	1.00e+33	1.00e+33	NUM
m-274	48	72	13	13	NUM
m-274	48	73	0.898572	0.898572	NUM
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m-274	48	75	116157.1	116157.1	NUM
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m-274	48	77	67.841	67.841	NUM
m-274	48	78	1.00e+33	1.00e+33	NUM
m-274	48	79	14	14	NUM
m-274	48	80	0.962658	0.962658	NUM
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m-274	48	82	1615692	1615692	NUM
m-274	48	83	410.1017	410.1017	NUM
m-274	48	84	213.3926	213.3926	NUM
m-274	48	85	1.00e+33	1.00e+33	NUM
m-274	48	86	15	15	NUM
m-274	48	87	1.026744	1.026744	NUM
m-274	48	88	6.119522	6.119522	NUM
m-274	48	89	84240.29	84240.29	NUM
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m-274	48	91	42.07458	42.07458	NUM
m-274	48	92	1.00e+33	1.00e+33	NUM
m-274	48	93	16	16	NUM
m-274	48	94	1.090831	1.090831	NUM
m-274	48	95	5.76	5.76	NUM
m-274	48	96	11582.41	11582.41	NUM
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m-274	48	98	25.21726	25.21726	NUM
m-274	48	99	1.00e+33	1.00e+33	NUM
m-274	48	100	17	17	NUM
m-274	48	101	1.154917	1.154917	NUM
m-274	48	102	5.440378	5.440378	NUM
m-274	48	103	1979010	1979010	NUM
m-274	48	104	-438.565	-438.565	PROPN
m-274	48	105	-263.514	-263.514	NUM
m-274	48	106	1.00e+33	1.00e+33	NUM
m-274	48	107	18	18	NUM
m-274	48	108	1.219003	1.219003	NUM
m-274	48	109	5.154362	5.154362	NUM
m-274	48	110	134286	134286	NUM
m-274	48	111	106.6879	106.6879	NUM
m-274	48	112	-79.8794	-79.8794	SYM
m-274	48	113	1.00e+33	1.00e+33	NUM
m-274	48	114	19	19	NUM
m-274	48	115	1.28309	1.28309	NUM
m-274	48	116	4.896918	4.896918	NUM
m-274	48	117	617032.6	617032.6	NUM
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m-274	48	152	3221233	3221233	NUM
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m-274	48	155	1.00e+33	1.00e+33	NUM
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m-274	48	157	international	international	PROPN
m-274	48	158	journal	journal	PROPN
m-274	48	159	of	of	ADP
m-274	48	160	mathematics	mathematics	PROPN
m-274	48	161	volume	volume	NOUN
m-274	48	162	03	03	NUM
m-274	48	163	|issue	|issue	NOUN
m-274	48	164	01	01	NUM
m-274	49	1	|	|	CCONJ
m-274	49	2	january	january	PROPN
m-274	49	3	2020	2020	NUM
m-274	49	4	www.ijojournals.com	www.ijojournals.com	X
m-274	49	5	5	5	NUM
m-274	49	6	(	(	PUNCT
m-274	49	7	k)harmonic	k)harmonic	ADJ
m-274	49	8	frequency	frequency	NOUN
m-274	49	9	wavelength	wavelength	NOUN
m-274	49	10	period	period	NOUN
m-274	49	11	cosine(a	cosine(a	PROPN
m-274	49	12	's	's	PART
m-274	49	13	)	)	PUNCT
m-274	49	14	sine(b	sine(b	NOUN
m-274	49	15	's	's	PART
m-274	49	16	)	)	PUNCT
m-274	49	17	spectrum	spectrum	VERB
m-274	49	18	25	25	NUM
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m-274	49	23	-348.646	-348.646	NUM
m-274	49	24	1.00e+33	1.00e+33	NUM
m-274	49	25	26	26	NUM
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m-274	51	1	1.00e+33	1.00e+33	NUM
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m-274	51	8	1.00e+33	1.00e+33	NUM
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m-274	51	19	3044655	3044655	NUM
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m-274	51	21	625.4841	625.4841	NUM
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m-274	51	26	1704203	1704203	NUM
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m-274	51	29	1.00e+33	1.00e+33	NUM
m-274	51	30	31	31	NUM
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m-274	51	32	3.061794	3.061794	NUM
m-274	51	33	4084301	4084301	NUM
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m-274	51	36	1.00e+33	1.00e+33	NUM
m-274	51	37	32	32	NUM
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m-274	51	84	285.1424	285.1424	NUM
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m-274	51	86	38	38	NUM
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m-274	51	149	47	47	NUM
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m-274	51	152	2362332	2362332	NUM
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m-274	51	155	1.00e+33	1.00e+33	NUM
m-274	51	156	48	48	NUM
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m-274	51	159	1065080	1065080	NUM
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m-274	51	161	1.17e-10	1.17e-10	NUM
m-274	51	162	1.00e+33	1.00e+33	NUM
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m-274	51	164	plots	plot	NOUN
m-274	51	165	of	of	ADP
m-274	51	166	periodogram	periodogram	NOUN
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m-274	51	168	frequency	frequency	NOUN
m-274	51	169	and	and	CCONJ
m-274	51	170	that	that	PRON
m-274	51	171	of	of	ADP
m-274	51	172	periodogram	periodogram	NOUN
m-274	51	173	against	against	ADP
m-274	51	174	wavelengths	wavelength	NOUN
m-274	51	175	are	be	AUX
m-274	51	176	shown	show	VERB
m-274	51	177	as	as	ADP
m-274	51	178	fig.2	fig.2	PROPN
m-274	51	179	.	.	PUNCT
m-274	52	1	and	and	CCONJ
m-274	52	2	fig.3	fig.3	PROPN
m-274	52	3	and	and	CCONJ
m-274	52	4	each	each	PRON
m-274	52	5	of	of	ADP
m-274	52	6	them	they	PRON
m-274	52	7	show	show	VERB
m-274	52	8	that	that	SCONJ
m-274	52	9	there	there	PRON
m-274	52	10	is	be	VERB
m-274	52	11	only	only	ADV
m-274	52	12	one	one	NUM
m-274	52	13	dominant	dominant	ADJ
m-274	52	14	frequency	frequency	NOUN
m-274	52	15	at	at	ADP
m-274	52	16	the	the	DET
m-274	52	17	harmonic	harmonic	ADJ
m-274	52	18	number	number	NOUN
m-274	52	19	k	k	PROPN
m-274	53	1	=	=	NOUN
m-274	53	2	7	7	NUM
m-274	53	3	,	,	PUNCT
m-274	53	4	with	with	ADP
m-274	53	5	a	a	DET
m-274	53	6	frequency	frequency	NOUN
m-274	53	7	f=	f=	NOUN
m-274	53	8	0.514054	0.514054	NUM
m-274	53	9	and	and	CCONJ
m-274	53	10	wavelength	wavelength	NOUN
m-274	53	11	12.22281	12.22281	NUM
m-274	53	12	.	.	PUNCT
m-274	53	13	.	.	PUNCT
m-274	54	1	table	table	NOUN
m-274	54	2	2	2	NUM
m-274	54	3	shows	show	VERB
m-274	54	4	the	the	DET
m-274	54	5	fourier	fourier	ADJ
m-274	54	6	analysis	analysis	NOUN
m-274	54	7	result	result	NOUN
m-274	54	8	indicating	indicate	VERB
m-274	54	9	the	the	DET
m-274	54	10	highest	high	ADJ
m-274	54	11	energy	energy	NOUN
m-274	54	12	content	content	NOUN
m-274	54	13	at	at	ADP
m-274	54	14	the	the	DET
m-274	54	15	7th	7th	ADJ
m-274	54	16	harmonic	harmonic	NOUN
m-274	54	17	k=7	k=7	PROPN
m-274	54	18	as	as	ADP
m-274	54	19	2.15	2.15	NUM
m-274	54	20	*	*	NUM
m-274	54	21	107	107	NUM
m-274	54	22	,	,	PUNCT
m-274	54	23	the	the	DET
m-274	54	24	cosine	cosine	NOUN
m-274	54	25	component	component	NOUN
m-274	54	26	is	be	AUX
m-274	54	27	-1541.93and	-1541.93and	PUNCT
m-274	54	28	the	the	DET
m-274	54	29	sine	sine	ADJ
m-274	54	30	component	component	NOUN
m-274	54	31	is	be	AUX
m-274	54	32	-681.31	-681.31	PROPN
m-274	54	33	7	7	NUM
m-274	54	34	0.514054	0.514054	NUM
m-274	54	35	12.22281	12.22281	NUM
m-274	54	36	2.15e+07	2.15e+07	NUM
m-274	54	37	-1541.93	-1541.93	PROPN
m-274	54	38	-681.31	-681.31	PROPN
m-274	54	39	1.00e+33	1.00e+33	NUM
m-274	54	40	spectral	spectral	ADJ
m-274	54	41	analysis	analysis	NOUN
m-274	54	42	results	result	NOUN
m-274	54	43	end	end	VERB
m-274	54	44	after	after	ADP
m-274	54	45	identification	identification	NOUN
m-274	54	46	of	of	ADP
m-274	54	47	wavelength	wavelength	NOUN
m-274	54	48	,	,	PUNCT
m-274	54	49	sine	sine	ADJ
m-274	54	50	term	term	NOUN
m-274	54	51	,	,	PUNCT
m-274	54	52	cosine	cosine	ADJ
m-274	54	53	term	term	NOUN
m-274	54	54	,	,	PUNCT
m-274	54	55	period	period	NOUN
m-274	54	56	,	,	PUNCT
m-274	54	57	and	and	CCONJ
m-274	54	58	the	the	DET
m-274	54	59	spectrum	spectrum	NOUN
m-274	54	60	.	.	PUNCT
m-274	55	1	using	use	VERB
m-274	55	2	the	the	DET
m-274	55	3	ncss	ncss	PROPN
m-274	55	4	,	,	PUNCT
m-274	55	5	the	the	DET
m-274	55	6	harmonic	harmonic	ADJ
m-274	55	7	numbers	number	NOUN
m-274	55	8	are	be	AUX
m-274	55	9	not	not	PART
m-274	55	10	shown	show	VERB
m-274	55	11	,	,	PUNCT
m-274	55	12	hence	hence	ADV
m-274	55	13	we	we	PRON
m-274	55	14	invoke	invoke	VERB
m-274	55	15	the	the	DET
m-274	55	16	use	use	NOUN
m-274	55	17	of	of	ADP
m-274	55	18	excel	excel	NOUN
m-274	55	19	to	to	PART
m-274	55	20	supplement	supplement	VERB
m-274	55	21	the	the	DET
m-274	55	22	analysis	analysis	NOUN
m-274	55	23	in	in	ADP
m-274	55	24	order	order	NOUN
m-274	55	25	to	to	PART
m-274	55	26	add	add	VERB
m-274	55	27	the	the	DET
m-274	55	28	harmonic	harmonic	ADJ
m-274	55	29	numbers	number	NOUN
m-274	55	30	as	as	SCONJ
m-274	55	31	shown	show	VERB
m-274	55	32	in	in	ADP
m-274	55	33	colum	colum	NOUN
m-274	55	34	(	(	PUNCT
m-274	55	35	a	a	X
m-274	55	36	)	)	PUNCT
m-274	55	37	in	in	ADP
m-274	55	38	table	table	NOUN
m-274	55	39	1	1	NUM
m-274	55	40	.	.	PUNCT
m-274	56	1	the	the	DET
m-274	56	2	use	use	NOUN
m-274	56	3	of	of	ADP
m-274	56	4	harmonic	harmonic	ADJ
m-274	56	5	analysis	analysis	NOUN
m-274	56	6	harmonic	harmonic	ADJ
m-274	56	7	analysis	analysis	NOUN
m-274	56	8	is	be	AUX
m-274	56	9	used	use	VERB
m-274	56	10	to	to	PART
m-274	56	11	obtain	obtain	VERB
m-274	56	12	the	the	DET
m-274	56	13	various	various	ADJ
m-274	56	14	section	section	NOUN
m-274	56	15	as	as	SCONJ
m-274	56	16	explained	explain	VERB
m-274	56	17	here	here	ADV
m-274	56	18	under	under	ADP
m-274	56	19	.	.	PUNCT
m-274	57	1	ijo	ijo	PROPN
m-274	57	2	international	international	PROPN
m-274	57	3	journal	journal	PROPN
m-274	57	4	of	of	ADP
m-274	57	5	mathematics	mathematics	PROPN
m-274	57	6	volume	volume	NOUN
m-274	57	7	03	03	NUM
m-274	58	1	|issue	|issue	NOUN
m-274	58	2	01	01	NUM
m-274	59	1	|	|	CCONJ
m-274	59	2	january	january	PROPN
m-274	59	3	2020	2020	NUM
m-274	59	4	www.ijojournals.com	www.ijojournals.com	X
m-274	59	5	6	6	NUM
m-274	59	6	below	below	ADV
m-274	59	7	are	be	AUX
m-274	59	8	the	the	DET
m-274	59	9	steps	step	NOUN
m-274	59	10	involved	involve	VERB
m-274	59	11	in	in	ADP
m-274	59	12	carrying	carry	VERB
m-274	59	13	out	out	ADP
m-274	59	14	the	the	DET
m-274	59	15	harmonic	harmonic	ADJ
m-274	59	16	analysis	analysis	NOUN
m-274	59	17	:	:	PUNCT
m-274	59	18	after	after	ADP
m-274	59	19	performing	perform	VERB
m-274	59	20	the	the	DET
m-274	59	21	spectral	spectral	ADJ
m-274	59	22	analysis	analysis	NOUN
m-274	59	23	as	as	SCONJ
m-274	59	24	discussed	discuss	VERB
m-274	59	25	above	above	ADV
m-274	59	26	,	,	PUNCT
m-274	59	27	when	when	SCONJ
m-274	59	28	the	the	DET
m-274	59	29	harmonic	harmonic	ADJ
m-274	59	30	section	section	NOUN
m-274	59	31	of	of	ADP
m-274	59	32	the	the	DET
m-274	59	33	ncss2019	ncss2019	PROPN
m-274	59	34	was	be	AUX
m-274	59	35	now	now	ADV
m-274	59	36	employed	employ	VERB
m-274	59	37	the	the	DET
m-274	59	38	following	follow	VERB
m-274	59	39	results	result	NOUN
m-274	59	40	were	be	AUX
m-274	59	41	obtained	obtain	VERB
m-274	59	42	:	:	PUNCT
m-274	59	43	table	table	NOUN
m-274	59	44	3.run	3.run	NUM
m-274	59	45	summary	summary	NOUN
m-274	59	46	section	section	NOUN
m-274	59	47	─	─	PROPN
m-274	59	48	─	─	PROPN
m-274	59	49	─	─	ADJ
m-274	59	50	item	item	NOUN
m-274	59	51	value	value	NOUN
m-274	59	52	item	item	NOUN
m-274	59	53	value	value	NOUN
m-274	59	54	dependent	dependent	ADJ
m-274	59	55	variable	variable	NOUN
m-274	59	56	yt	yt	PRON
m-274	59	57	total	total	NOUN
m-274	59	58	rows	row	VERB
m-274	59	59	156	156	NUM
m-274	59	60	time	time	NOUN
m-274	59	61	variable	variable	ADJ
m-274	59	62	t	t	PROPN
m-274	59	63	rows	row	VERB
m-274	59	64	with	with	ADP
m-274	59	65	missing	miss	VERB
m-274	59	66	values	value	NOUN
m-274	59	67	60	60	NUM
m-274	59	68	r²	r²	NOUN
m-274	59	69	0.96	0.96	NUM
m-274	59	70	rows	row	NOUN
m-274	59	71	used	use	VERB
m-274	59	72	96	96	NUM
m-274	59	73	estimated	estimate	VERB
m-274	59	74	model	model	NOUN
m-274	59	75	ft	ft	PROPN
m-274	59	76	=	=	SYM
m-274	59	77	307.273+(4.317)*t-15.1354)*sin((0.517*t+	307.273+(4.317)*t-15.1354)*sin((0.517*t+	PROPN
m-274	59	78	66.998*cos(0.517	66.998*cos(0.517	PROPN
m-274	59	79	t	t	PROPN
m-274	59	80	)	)	PUNCT
m-274	59	81	)	)	PUNCT
m-274	60	1	the	the	DET
m-274	60	2	amplitude	amplitude	NOUN
m-274	60	3	value	value	NOUN
m-274	60	4	of	of	ADP
m-274	60	5	68.68638	68.68638	NUM
m-274	60	6	is	be	AUX
m-274	60	7	obtained	obtain	VERB
m-274	60	8	from	from	ADP
m-274	60	9	the	the	DET
m-274	60	10	squares	square	NOUN
m-274	60	11	of	of	ADP
m-274	60	12	the	the	DET
m-274	60	13	sine	sine	NOUN
m-274	60	14	and	and	CCONJ
m-274	60	15	cosine	cosine	NOUN
m-274	60	16	coefficients	coefficient	NOUN
m-274	60	17	0f	0f	NOUN
m-274	60	18	;	;	PUNCT
m-274	60	19	68.68638	68.68638	NUM
m-274	60	20	=	=	SYM
m-274	60	21	�	�	PROPN
m-274	60	22	(	(	PUNCT
m-274	60	23	−15.1354	−15.1354	PROPN
m-274	60	24	)	)	PUNCT
m-274	60	25	�	�	PROPN
m-274	60	26	+	+	CCONJ
m-274	60	27	(	(	PUNCT
m-274	60	28	66.998	66.998	NUM
m-274	60	29	)	)	PUNCT
m-274	60	30	�	�	PROPN
m-274	60	31	table	table	NOUN
m-274	60	32	4.regression	4.regression	NUM
m-274	60	33	coefficients	coefficient	NOUN
m-274	60	34	section	section	NOUN
m-274	60	35	regression	regression	NOUN
m-274	60	36	standard	standard	ADJ
m-274	60	37	tstatistic	tstatistic	ADJ
m-274	60	38	upper	upper	ADJ
m-274	60	39	95	95	NUM
m-274	60	40	%	%	NOUN
m-274	60	41	independent	independent	ADJ
m-274	60	42	coefficient	coefficient	NOUN
m-274	60	43	error	error	NOUN
m-274	60	44	to	to	PART
m-274	60	45	test	test	VERB
m-274	60	46	prob	prob	PROPN
m-274	60	47	conf	conf	NOUN
m-274	60	48	.	.	PUNCT
m-274	61	1	limit	limit	VERB
m-274	61	2	variable	variable	ADJ
m-274	61	3	b(i	b(i	NOUN
m-274	61	4	)	)	PUNCT
m-274	61	5	sb(i	sb(i	NOUN
m-274	61	6	)	)	PUNCT
m-274	61	7	h0	h0	NOUN
m-274	61	8	:	:	PUNCT
m-274	61	9	β(i)=0	β(i)=0	PUNCT
m-274	61	10	level	level	NOUN
m-274	61	11	of	of	ADP
m-274	61	12	β(i	β(i	NOUN
m-274	61	13	)	)	PUNCT
m-274	61	14	intercept	intercept	VERB
m-274	61	15	307	307	NUM
m-274	61	16	5.59439	5.59439	NUM
m-274	61	17	54.93	54.93	NUM
m-274	61	18	0	0	SYM
m-274	62	1	318.38	318.38	NUM
m-274	62	2	trend	trend	NOUN
m-274	62	3	4.32	4.32	NUM
m-274	62	4	0.10026	0.10026	NUM
m-274	62	5	43.06	43.06	NUM
m-274	62	6	0	0	NUM
m-274	62	7	4.5164	4.5164	NUM
m-274	62	8	sin(12.14371	sin(12.14371	NOUN
m-274	62	9	)	)	PUNCT
m-274	62	10	-15	-15	PUNCT
m-274	62	11	3.90635	3.90635	NUM
m-274	62	12	-3.87	-3.87	NUM
m-274	62	13	0.9999	0.9999	NUM
m-274	62	14	-7.3771	-7.3771	NOUN
m-274	62	15	cos(12.14371	cos(12.14371	NOUN
m-274	62	16	)	)	PUNCT
m-274	62	17	67	67	NUM
m-274	62	18	3.93496	3.93496	NUM
m-274	62	19	17.03	17.03	NUM
m-274	62	20	0	0	NUM
m-274	62	21	74.813	74.813	NUM
m-274	62	22	in	in	ADP
m-274	62	23	this	this	DET
m-274	62	24	calculation	calculation	NOUN
m-274	62	25	,	,	PUNCT
m-274	62	26	the	the	DET
m-274	62	27	software	software	NOUN
m-274	62	28	uses	use	VERB
m-274	62	29	the	the	DET
m-274	62	30	wavelength	wavelength	NOUN
m-274	62	31	value	value	NOUN
m-274	62	32	of	of	ADP
m-274	62	33	12.44	12.44	NUM
m-274	62	34	,	,	PUNCT
m-274	62	35	instead	instead	ADV
m-274	62	36	of	of	ADP
m-274	62	37	the	the	DET
m-274	62	38	the	the	DET
m-274	62	39	frequency	frequency	NOUN
m-274	62	40	value	value	NOUN
m-274	62	41	.	.	PUNCT
m-274	63	1	wave	wave	NOUN
m-274	63	2	length	length	NOUN
m-274	63	3	frequency	frequency	NOUN
m-274	63	4	amplitude	amplitude	NOUN
m-274	63	5	phase	phase	NOUN
m-274	63	6	12.144	12.144	NUM
m-274	63	7	0.52	0.52	NUM
m-274	63	8	68.68638	68.68638	NUM
m-274	63	9	0.22218	0.22218	NUM
m-274	63	10	table	table	NOUN
m-274	63	11	5.analysis	5.analysis	NUM
m-274	63	12	of	of	ADP
m-274	63	13	variance	variance	NOUN
m-274	63	14	table	table	NOUN
m-274	63	15	─	─	PROPN
m-274	63	16	─	─	PROPN
m-274	63	17	─	─	ADJ
m-274	63	18	sum	sum	NOUN
m-274	63	19	of	of	ADP
m-274	63	20	mean	mean	PROPN
m-274	63	21	f	f	X
m-274	63	22	-	-	PUNCT
m-274	63	23	ratio	ratio	NOUN
m-274	63	24	df	df	PROPN
m-274	63	25	squares	square	NOUN
m-274	63	26	squares	square	NOUN
m-274	63	27	intercept	intercept	VERB
m-274	63	28	1	1	NUM
m-274	63	29	25546130	25546130	NUM
m-274	63	30	25546130	25546130	NUM
m-274	63	31	total	total	NOUN
m-274	63	32	(	(	PUNCT
m-274	63	33	adjusted	adjust	VERB
m-274	63	34	)	)	PUNCT
m-274	63	35	95	95	NUM
m-274	63	36	1685138	1685138	NUM
m-274	63	37	mse	mse	PROPN
m-274	63	38	/	/	SYM
m-274	63	39	mse	mse	PROPN
m-274	63	40	model	model	NOUN
m-274	63	41	4	4	NUM
m-274	63	42	27163716	27163716	NUM
m-274	63	43	msr=6790928.96	msr=6790928.96	ADP
m-274	63	44	9248.64	9248.64	NUM
m-274	63	45	error	error	NOUN
m-274	63	46	92	92	NUM
m-274	63	47	67552.16	67552.16	NUM
m-274	63	48	mse=734.2626	mse=734.2626	NOUN
m-274	63	49	total	total	NOUN
m-274	63	50	96	96	NUM
m-274	63	51	27231268	27231268	NUM
m-274	63	52	734.2626	734.2626	NUM
m-274	63	53	ijo	ijo	PROPN
m-274	63	54	international	international	ADJ
m-274	63	55	journal	journal	PROPN
m-274	63	56	of	of	ADP
m-274	63	57	mathematics	mathematics	PROPN
m-274	63	58	volume	volume	NOUN
m-274	63	59	03	03	NUM
m-274	64	1	|issue	|issue	NOUN
m-274	64	2	01	01	NUM
m-274	65	1	|	|	CCONJ
m-274	65	2	january	january	PROPN
m-274	65	3	2020	2020	NUM
m-274	65	4	www.ijojournals.com	www.ijojournals.com	X
m-274	65	5	7	7	NUM
m-274	65	6	table	table	NOUN
m-274	65	7	6.correlation	6.correlation	NUM
m-274	65	8	matrix	matrix	NOUN
m-274	65	9	of	of	ADP
m-274	65	10	regression	regression	NOUN
m-274	65	11	coefficients	coefficient	NOUN
m-274	65	12	intercept	intercept	NOUN
m-274	65	13	trend	trend	NOUN
m-274	65	14	sin(12.14371	sin(12.14371	NOUN
m-274	65	15	)	)	PUNCT
m-274	65	16	cos(12.14371	cos(12.14371	NOUN
m-274	65	17	)	)	PUNCT
m-274	65	18	intercept	intercept	VERB
m-274	65	19	1	1	NUM
m-274	65	20	0.869221	0.869221	NUM
m-274	65	21	-0.083666	-0.083666	NOUN
m-274	65	22	0.005182	0.005182	NUM
m-274	65	23	trend	trend	NOUN
m-274	65	24	-0.9	-0.9	NOUN
m-274	65	25	1	1	NUM
m-274	65	26	0.095877	0.095877	NUM
m-274	65	27	0.003687	0.003687	NUM
m-274	65	28	sin(12.14371	sin(12.14371	NOUN
m-274	65	29	)	)	PUNCT
m-274	65	30	-0.1	-0.1	NOUN
m-274	65	31	0.095877	0.095877	NUM
m-274	65	32	1	1	NUM
m-274	65	33	-0.000566	-0.000566	NOUN
m-274	65	34	cos(12.14371	cos(12.14371	NOUN
m-274	65	35	)	)	PUNCT
m-274	65	36	0.01	0.01	NUM
m-274	65	37	0.003687	0.003687	NUM
m-274	65	38	-0.000566	-0.000566	NOUN
m-274	65	39	1	1	NUM
m-274	65	40	table	table	NOUN
m-274	65	41	1.sales	1.sales	NUM
m-274	65	42	of	of	ADP
m-274	65	43	cement	cement	NOUN
m-274	65	44	2010	2010	NUM
m-274	65	45	to	to	ADP
m-274	65	46	2017	2017	NUM
m-274	65	47	month	month	NOUN
m-274	65	48	/	/	SYM
m-274	65	49	year	year	NOUN
m-274	65	50	2010	2010	NUM
m-274	65	51	2011	2011	NUM
m-274	65	52	2012	2012	NUM
m-274	65	53	2013	2013	NUM
m-274	65	54	2015	2015	NUM
m-274	65	55	2016	2016	NUM
m-274	65	56	2017	2017	NUM
m-274	65	57	2018	2018	NUM
m-274	65	58	jan	jan	NOUN
m-274	65	59	365	365	NUM
m-274	65	60	420	420	NUM
m-274	65	61	410	410	NUM
m-274	65	62	511	511	NUM
m-274	65	63	630	630	NUM
m-274	65	64	630	630	NUM
m-274	65	65	750	750	NUM
m-274	65	66	735	735	NUM
m-274	65	67	feb	feb	NOUN
m-274	65	68	345	345	NUM
m-274	65	69	380	380	NUM
m-274	65	70	430	430	NUM
m-274	65	71	525	525	NUM
m-274	65	72	650	650	NUM
m-274	65	73	680	680	NUM
m-274	65	74	640	640	NUM
m-274	65	75	743	743	NUM
m-274	65	76	marc	marc	PROPN
m-274	65	77	290	290	NUM
m-274	65	78	392	392	NUM
m-274	65	79	400	400	NUM
m-274	65	80	480	480	NUM
m-274	65	81	590	590	NUM
m-274	65	82	700	700	NUM
m-274	65	83	690	690	NUM
m-274	65	84	700	700	NUM
m-274	65	85	apr	apr	NOUN
m-274	65	86	267	267	NUM
m-274	65	87	380	380	NUM
m-274	65	88	390	390	NUM
m-274	65	89	430	430	NUM
m-274	65	90	520	520	NUM
m-274	65	91	650	650	NUM
m-274	65	92	710	710	NUM
m-274	65	93	670	670	NUM
m-274	65	94	may	may	AUX
m-274	65	95	280	280	NUM
m-274	65	96	365	365	NUM
m-274	65	97	360	360	NUM
m-274	65	98	410	410	NUM
m-274	65	99	530	530	NUM
m-274	65	100	560	560	NUM
m-274	65	101	630	630	NUM
m-274	65	102	660	660	NUM
m-274	65	103	jun	jun	PROPN
m-274	65	104	275	275	NUM
m-274	65	105	320	320	NUM
m-274	65	106	355	355	NUM
m-274	65	107	420	420	NUM
m-274	65	108	500	500	NUM
m-274	65	109	570	570	NUM
m-274	65	110	610	610	NUM
m-274	65	111	625	625	NUM
m-274	65	112	jul	jul	NOUN
m-274	65	113	280	280	NUM
m-274	65	114	300	300	NUM
m-274	65	115	340	340	NUM
m-274	65	116	490	490	NUM
m-274	65	117	580	580	NUM
m-274	65	118	550	550	NUM
m-274	65	119	680	680	NUM
m-274	65	120	630	630	NUM
m-274	65	121	aug	aug	PROPN
m-274	65	122	320	320	NUM
m-274	65	123	360	360	NUM
m-274	65	124	390	390	NUM
m-274	65	125	480	480	NUM
m-274	65	126	530	530	NUM
m-274	65	127	580	580	NUM
m-274	65	128	630	630	NUM
m-274	65	129	640	640	NUM
m-274	65	130	sep	sep	NOUN
m-274	65	131	350	350	NUM
m-274	65	132	390	390	NUM
m-274	65	133	430	430	NUM
m-274	65	134	520	520	NUM
m-274	65	135	640	640	NUM
m-274	65	136	640	640	NUM
m-274	65	137	680	680	NUM
m-274	65	138	675	675	NUM
m-274	65	139	oct	oct	NOUN
m-274	65	140	390	390	NUM
m-274	65	141	420	420	NUM
m-274	65	142	490	490	NUM
m-274	65	143	540	540	NUM
m-274	65	144	635	635	NUM
m-274	65	145	690	690	NUM
m-274	65	146	725	725	NUM
m-274	65	147	730	730	NUM
m-274	65	148	nov	nov	NOUN
m-274	65	149	430	430	NUM
m-274	65	150	470	470	NUM
m-274	65	151	512	512	NUM
m-274	65	152	560	560	NUM
m-274	65	153	690	690	NUM
m-274	65	154	730	730	NUM
m-274	65	155	765	765	NUM
m-274	65	156	760	760	NUM
m-274	65	157	dec	dec	PROPN
m-274	65	158	450	450	NUM
m-274	65	159	480	480	NUM
m-274	65	160	560	560	NUM
m-274	65	161	590	590	NUM
m-274	65	162	700	700	NUM
m-274	65	163	745	745	NUM
m-274	65	164	780	780	NUM
m-274	65	165	800	800	NUM
m-274	65	166	table	table	NOUN
m-274	65	167	7.forecasts	7.forecasts	NUM
m-274	65	168	sales	sale	NOUN
m-274	65	169	of	of	ADP
m-274	65	170	cement	cement	NOUN
m-274	65	171	2010	2010	NUM
m-274	65	172	to	to	ADP
m-274	65	173	2017	2017	NUM
m-274	65	174	month	month	NOUN
m-274	65	175	/	/	SYM
m-274	65	176	year	year	NOUN
m-274	65	177	2010	2010	NUM
m-274	65	178	2011	2011	NUM
m-274	65	179	2012	2012	NUM
m-274	65	180	2013	2013	NUM
m-274	65	181	2015	2015	NUM
m-274	65	182	2016	2016	NUM
m-274	65	183	2017	2017	NUM
m-274	65	184	2018	2018	NUM
m-274	65	185	jan	jan	NOUN
m-274	65	186	362	362	NUM
m-274	65	187	417.4384	417.4384	NUM
m-274	65	188	472.2456	472.2456	NUM
m-274	65	189	526.7375	526.7375	NUM
m-274	65	190	634.72	634.72	NUM
m-274	65	191	688	688	NUM
m-274	65	192	741	741	NUM
m-274	65	193	741	741	NUM
m-274	65	194	feb	feb	NOUN
m-274	65	195	337	337	NUM
m-274	65	196	393.712	393.712	NUM
m-274	65	197	450.1702	450.1702	NUM
m-274	65	198	506.459	506.459	NUM
m-274	65	199	618.43	618.43	NUM
m-274	65	200	674	674	NUM
m-274	65	201	729	729	NUM
m-274	65	202	729	729	NUM
m-274	65	203	marc	marc	PROPN
m-274	65	204	306	306	NUM
m-274	65	205	363.18	363.18	NUM
m-274	65	206	420.0715	420.0715	NUM
m-274	65	207	476.9838	476.9838	NUM
m-274	65	208	590.76	590.76	NUM
m-274	65	209	648	648	NUM
m-274	65	210	704	704	NUM
m-274	65	211	704	704	NUM
m-274	65	212	apr	apr	NOUN
m-274	65	213	279	279	NUM
m-274	65	214	334.9653	334.9653	NUM
m-274	65	215	390.9591	390.9591	NUM
m-274	65	216	447.1585	447.1585	NUM
m-274	65	217	560.08	560.08	NUM
m-274	65	218	617	617	NUM
m-274	65	219	674	674	NUM
m-274	65	220	674	674	NUM
m-274	65	221	may	may	NOUN
m-274	65	222	264	264	NUM
m-274	65	223	317.5843	317.5843	NUM
m-274	65	224	371.5844	371.5844	NUM
m-274	65	225	425.921	425.921	NUM
m-274	65	226	535.55	535.55	NUM
m-274	65	227	591	591	NUM
m-274	65	228	646	646	NUM
m-274	65	229	646	646	NUM
m-274	65	230	jun	jun	PROPN
m-274	65	231	266	266	NUM
m-274	65	232	316.7174	316.7174	NUM
m-274	65	233	368.1497	368.1497	NUM
m-274	65	234	419.9612	419.9612	NUM
m-274	65	235	524.72	524.72	NUM
m-274	65	236	578	578	NUM
m-274	65	237	631	631	NUM
m-274	65	238	631	631	NUM
m-274	65	239	jul	jul	NOUN
m-274	65	240	285	285	NUM
m-274	65	241	333.7216	333.7216	NUM
m-274	65	242	382.6842	382.6842	NUM
m-274	65	243	431.9696	431.9696	NUM
m-274	65	244	531.56	531.56	NUM
m-274	65	245	582	582	NUM
m-274	65	246	633	633	NUM
m-274	65	247	633	633	NUM
m-274	65	248	aug	aug	NOUN
m-274	65	249	318	318	NUM
m-274	66	1	365.2758	365.2758	NUM
m-274	66	2	412.5133	412.5133	NUM
m-274	66	3	459.9327	459.9327	NUM
m-274	66	4	555.41	555.41	NUM
m-274	66	5	604	604	NUM
m-274	66	6	652	652	NUM
m-274	66	7	652	652	NUM
m-274	66	8	sep	sep	PROPN
m-274	66	9	358	358	NUM
m-274	66	10	404.2496	404.2496	NUM
m-274	66	11	450.9583	450.9583	NUM
m-274	66	12	497.6603	497.6603	NUM
m-274	66	13	591.16	591.16	NUM
m-274	66	14	638	638	NUM
m-274	66	15	685	685	NUM
m-274	66	16	685	685	NUM
m-274	66	17	oct	oct	NOUN
m-274	66	18	394	394	NUM
m-274	66	19	441.5705	441.5705	NUM
m-274	66	20	489.0851	489.0851	NUM
m-274	66	21	536.4061	536.4061	NUM
m-274	66	22	630.57	630.57	NUM
m-274	66	23	677	677	NUM
m-274	66	24	724	724	NUM
m-274	66	25	724	724	NUM
m-274	66	26	nov	nov	NOUN
m-274	66	27	419	419	NUM
m-274	66	28	468.5985	468.5985	NUM
m-274	66	29	518.0427	518.0427	NUM
m-274	66	30	567.1571	567.1571	NUM
m-274	66	31	664.46	664.46	NUM
m-274	66	32	713	713	NUM
m-274	66	33	761	761	NUM
m-274	66	34	761	761	NUM
m-274	66	35	dec	dec	PROPN
m-274	66	36	427	427	NUM
m-274	66	37	479.3884	479.3884	NUM
m-274	66	38	531.3807	531.3807	NUM
m-274	66	39	582.9934	582.9934	NUM
m-274	66	40	685.09	685.09	NUM
m-274	66	41	736	736	NUM
m-274	66	42	786	786	NUM
m-274	66	43	786	786	NUM
m-274	66	44	ijo	ijo	PROPN
m-274	66	45	international	international	PROPN
m-274	66	46	journal	journal	PROPN
m-274	66	47	of	of	ADP
m-274	66	48	mathematics	mathematics	PROPN
m-274	66	49	volume	volume	NOUN
m-274	66	50	03	03	NUM
m-274	66	51	|issue	|issue	NOUN
m-274	66	52	01	01	NUM
m-274	67	1	|	|	CCONJ
m-274	67	2	january	january	PROPN
m-274	67	3	2020	2020	NUM
m-274	67	4	www.ijojournals.com	www.ijojournals.com	X
m-274	68	1	8	8	NUM
m-274	68	2	table	table	NOUN
m-274	68	3	3	3	NUM
m-274	68	4	.	.	PUNCT
m-274	68	5	forecasts	forecast	NOUN
m-274	68	6	errors	error	NOUN
m-274	68	7	of	of	ADP
m-274	68	8	sales	sale	NOUN
m-274	68	9	of	of	ADP
m-274	68	10	cement	cement	NOUN
m-274	68	11	2010	2010	NUM
m-274	68	12	to	to	ADP
m-274	68	13	2017	2017	NUM
m-274	68	14	month	month	NOUN
m-274	68	15	/	/	SYM
m-274	68	16	year	year	NOUN
m-274	68	17	2010	2010	NUM
m-274	68	18	2011	2011	NUM
m-274	68	19	2012	2012	NUM
m-274	68	20	2013	2013	NUM
m-274	68	21	2015	2015	NUM
m-274	68	22	2016	2016	NUM
m-274	68	23	2017	2017	NUM
m-274	68	24	2018	2018	NUM
m-274	68	25	jan	jan	NOUN
m-274	68	26	2.67	2.67	NUM
m-274	68	27	2.56165	2.56165	NUM
m-274	68	28	-62.24556	-62.24556	SYM
m-274	68	29	-15.73755	-15.73755	NUM
m-274	68	30	4.7183	4.7183	NUM
m-274	68	31	-58	-58	PROPN
m-274	68	32	8.72	8.72	NUM
m-274	68	33	6.28	6.28	NUM
m-274	68	34	feb	feb	NOUN
m-274	68	35	7.89	7.89	NUM
m-274	68	36	13.71204	13.71204	NUM
m-274	68	37	-20.1702	-20.1702	NUM
m-274	68	38	18.54102	18.54102	NUM
m-274	68	39	31.57	31.57	NUM
m-274	68	40	5.93	5.93	NUM
m-274	68	41	-89	-89	SYM
m-274	68	42	13.6	13.6	NUM
m-274	68	43	marc	marc	X
m-274	68	44	-16	-16	PROPN
m-274	68	45	28.82	28.82	NUM
m-274	68	46	-20.0715	-20.0715	NUM
m-274	68	47	3.016177	3.016177	NUM
m-274	68	48	0.7581	0.7581	NUM
m-274	68	49	52.4	52.4	NUM
m-274	68	50	-14	-14	NUM
m-274	68	51	4.28	4.28	NUM
m-274	68	52	apr	apr	NOUN
m-274	68	53	-12	-12	NUM
m-274	68	54	45.03472	45.03472	NUM
m-274	68	55	0.9590976	0.9590976	NUM
m-274	68	56	-17.15847	-17.15847	PUNCT
m-274	68	57	40.076	40.076	NUM
m-274	68	58	33.3	33.3	NUM
m-274	68	59	36.5	36.5	NUM
m-274	68	60	3.51	3.51	NUM
m-274	68	61	may	may	AUX
m-274	68	62	16.1	16.1	NUM
m-274	68	63	47.41569	47.41569	NUM
m-274	68	64	-11.58441	-11.58441	SYM
m-274	68	65	-15.92099	-15.92099	SYM
m-274	68	66	5.5459	5.5459	NUM
m-274	68	67	-31	-31	PUNCT
m-274	68	68	-16	-16	PROPN
m-274	68	69	13.7	13.7	NUM
m-274	68	70	jun	jun	PROPN
m-274	68	71	9.34	9.34	NUM
m-274	68	72	3.282614	3.282614	NUM
m-274	68	73	-13.14965	-13.14965	SYM
m-274	68	74	0.03875451	0.03875451	NUM
m-274	68	75	-24.72	-24.72	NOUN
m-274	68	76	-7.7	-7.7	NOUN
m-274	68	77	-21	-21	PROPN
m-274	68	78	5.97	5.97	NUM
m-274	68	79	jul	jul	PROPN
m-274	68	80	-5.1	-5.1	PROPN
m-274	68	81	33.72165	33.72165	NUM
m-274	68	82	-42.6842	-42.6842	SYM
m-274	68	83	58.03038	58.03038	NUM
m-274	68	84	48.437	48.437	NUM
m-274	68	85	-32	-32	SYM
m-274	68	86	47.4	47.4	NUM
m-274	68	87	2.59	2.59	NUM
m-274	68	88	aug	aug	PROPN
m-274	68	89	1.81	1.81	NUM
m-274	68	90	5.275815	5.275815	NUM
m-274	68	91	-22.51331	-22.51331	SYM
m-274	68	92	20.06731	20.06731	NUM
m-274	68	93	25.413	25.413	NUM
m-274	68	94	-24	-24	PUNCT
m-274	68	95	-22	-22	PUNCT
m-274	68	96	11.9	11.9	NUM
m-274	68	97	sep	sep	NOUN
m-274	68	98	-7.5	-7.5	NOUN
m-274	68	99	14.24964	14.24964	NUM
m-274	68	100	-20.95833	-20.95833	PUNCT
m-274	68	101	22.33971	22.33971	NUM
m-274	68	102	48.843	48.843	NUM
m-274	68	103	1.99	1.99	NUM
m-274	68	104	-5	-5	NOUN
m-274	68	105	9.96	9.96	NUM
m-274	68	106	oct	oct	PROPN
m-274	68	107	-3.8	-3.8	PROPN
m-274	68	108	21.57052	21.57052	NUM
m-274	68	109	0.914923	0.914923	NUM
m-274	68	110	3.593923	3.593923	NUM
m-274	68	111	4.4325	4.4325	NUM
m-274	68	112	12.5	12.5	NUM
m-274	68	113	0.74	0.74	NUM
m-274	68	114	5.74	5.74	NUM
m-274	68	115	nov	nov	PROPN
m-274	68	116	11.2	11.2	NUM
m-274	68	117	1.401448	1.401448	NUM
m-274	68	118	-6.042702	-6.042702	NOUN
m-274	68	119	-7.157125	-7.157125	PROPN
m-274	69	1	25.542	25.542	NUM
m-274	69	2	17.3	17.3	NUM
m-274	69	3	4.36	4.36	NUM
m-274	69	4	0.64	0.64	NUM
m-274	69	5	dec	dec	PROPN
m-274	69	6	23	23	NUM
m-274	69	7	0.611624	0.611624	NUM
m-274	69	8	28.61931	28.61931	NUM
m-274	69	9	7.006566	7.006566	NUM
m-274	69	10	14.913	14.913	NUM
m-274	69	11	9.42	9.42	NUM
m-274	69	12	-5.7	-5.7	NUM
m-274	69	13	14.3	14.3	NUM
m-274	69	14	fig.3.predicted	fig.3.predicte	VERB
m-274	69	15	and	and	CCONJ
m-274	69	16	actual	actual	ADJ
m-274	69	17	values	value	NOUN
m-274	69	18	values	value	NOUN
m-274	69	19	against	against	ADP
m-274	69	20	time	time	NOUN
m-274	69	21	0	0	NUM
m-274	69	22	100	100	NUM
m-274	69	23	200	200	NUM
m-274	69	24	300	300	NUM
m-274	69	25	400	400	NUM
m-274	69	26	500	500	NUM
m-274	69	27	600	600	NUM
m-274	69	28	700	700	NUM
m-274	69	29	800	800	NUM
m-274	69	30	900	900	NUM
m-274	69	31	1	1	NUM
m-274	69	32	7	7	NUM
m-274	69	33	1319253137434955616773798591	1319253137434955616773798591	NUM
m-274	69	34	actual	actual	ADJ
m-274	69	35	value	value	NOUN
m-274	69	36	predicted	predict	VERB
m-274	69	37	value	value	NOUN
m-274	69	38	ijo	ijo	PROPN
m-274	69	39	international	international	PROPN
m-274	69	40	journal	journal	PROPN
m-274	69	41	of	of	ADP
m-274	69	42	mathematics	mathematics	PROPN
m-274	69	43	volume	volume	NOUN
m-274	69	44	03	03	NUM
m-274	70	1	|issue	|issue	NOUN
m-274	70	2	01	01	NUM
m-274	71	1	|	|	CCONJ
m-274	71	2	january	january	PROPN
m-274	71	3	2020	2020	NUM
m-274	71	4	www.ijojournals.com	www.ijojournals.com	X
m-274	71	5	9	9	NUM
m-274	71	6	fig.4.graph	fig.4.graph	PUNCT
m-274	71	7	of	of	ADP
m-274	71	8	residuals	residual	NOUN
m-274	71	9	against	against	ADP
m-274	71	10	time	time	NOUN
m-274	71	11	the	the	DET
m-274	71	12	plot	plot	NOUN
m-274	71	13	of	of	ADP
m-274	71	14	residuals	residual	NOUN
m-274	71	15	against	against	ADP
m-274	71	16	time	time	NOUN
m-274	71	17	shown	show	VERB
m-274	71	18	in	in	ADP
m-274	71	19	fig.4	fig.4	PRON
m-274	71	20	demonstrates	demonstrate	NOUN
m-274	71	21	that	that	SCONJ
m-274	71	22	the	the	DET
m-274	71	23	errors	error	NOUN
m-274	71	24	are	be	AUX
m-274	71	25	random	random	ADJ
m-274	71	26	in	in	ADP
m-274	71	27	nature	nature	NOUN
m-274	71	28	,	,	PUNCT
m-274	71	29	and	and	CCONJ
m-274	71	30	the	the	DET
m-274	71	31	plot	plot	NOUN
m-274	71	32	of	of	ADP
m-274	71	33	actual	actual	ADJ
m-274	71	34	and	and	CCONJ
m-274	71	35	predicted	predict	VERB
m-274	71	36	values	value	NOUN
m-274	71	37	against	against	ADP
m-274	71	38	time	time	NOUN
m-274	71	39	shown	show	VERB
m-274	71	40	in	in	ADP
m-274	71	41	fig.3	fig.3	PROPN
m-274	71	42	.	.	PUNCT
m-274	71	43	is	be	AUX
m-274	71	44	an	an	DET
m-274	71	45	evidence	evidence	NOUN
m-274	71	46	that	that	SCONJ
m-274	71	47	that	that	SCONJ
m-274	71	48	the	the	DET
m-274	71	49	actual	actual	ADJ
m-274	71	50	and	and	CCONJ
m-274	71	51	predicted	predict	VERB
m-274	71	52	values	value	NOUN
m-274	71	53	are	be	AUX
m-274	71	54	reasonably	reasonably	ADV
m-274	71	55	close	close	ADJ
m-274	71	56	to	to	ADP
m-274	71	57	each	each	DET
m-274	71	58	other	other	ADJ
m-274	71	59	.	.	PUNCT
m-274	72	1	fig.5.plot	fig.5.plot	NUM
m-274	72	2	of	of	ADP
m-274	72	3	autocorrelation	autocorrelation	NOUN
m-274	72	4	functionsof	functionsof	VERB
m-274	72	5	errors(acf	errors(acf	NOUN
m-274	72	6	)	)	PUNCT
m-274	72	7	.	.	PUNCT
m-274	73	1	fig	fig	PROPN
m-274	74	1	.6	.6	NUM
m-274	74	2	.	.	PUNCT
m-274	75	1	plot	plot	NOUN
m-274	75	2	of	of	ADP
m-274	75	3	partial	partial	ADJ
m-274	75	4	autocorrelation	autocorrelation	NOUN
m-274	75	5	coefficients(pafc	coefficients(pafc	PROPN
m-274	75	6	)	)	PUNCT
m-274	76	1	-100	-100	PROPN
m-274	76	2	-50	-50	PUNCT
m-274	76	3	0	0	NUM
m-274	76	4	50	50	NUM
m-274	76	5	100	100	NUM
m-274	76	6	0	0	NUM
m-274	76	7	50	50	NUM
m-274	76	8	100	100	NUM
m-274	76	9	150	150	NUM
m-274	76	10	residual	residual	ADJ
m-274	76	11	residual	residual	ADJ
m-274	76	12	ijo	ijo	PROPN
m-274	76	13	international	international	PROPN
m-274	76	14	journal	journal	PROPN
m-274	76	15	of	of	ADP
m-274	76	16	mathematics	mathematics	PROPN
m-274	76	17	volume	volume	NOUN
m-274	76	18	03	03	NUM
m-274	77	1	|issue	|issue	NOUN
m-274	77	2	01	01	NUM
m-274	78	1	|	|	CCONJ
m-274	78	2	january	january	PROPN
m-274	78	3	2020	2020	NUM
m-274	79	1	www.ijojournals.com	www.ijojournals.com	X
m-274	79	2	10	10	NUM
m-274	79	3	table	table	NOUN
m-274	79	4	4.autocorrelations	4.autocorrelation	NOUN
m-274	79	5	of	of	ADP
m-274	79	6	c6	c6	PROPN
m-274	79	7	(	(	PUNCT
m-274	79	8	0,0,0,0,1	0,0,0,0,1	NOUN
m-274	79	9	)	)	PUNCT
m-274	80	1	─	─	PUNCT
m-274	80	2	─	─	X
m-274	80	3	─	─	ADJ
m-274	80	4	─	─	ADJ
m-274	80	5	─	─	ADJ
m-274	80	6	─	─	ADJ
m-274	80	7	─	─	ADJ
m-274	80	8	─	─	ADJ
m-274	80	9	─	─	ADJ
m-274	80	10	─	─	ADJ
m-274	80	11	─	─	ADJ
m-274	80	12	─	─	ADJ
m-274	80	13	─	─	ADJ
m-274	80	14	─	─	ADJ
m-274	80	15	─	─	ADJ
m-274	80	16	─	─	ADJ
m-274	80	17	─	─	ADJ
m-274	80	18	─	─	ADJ
m-274	80	19	─	─	ADJ
m-274	80	20	─	─	ADJ
m-274	80	21	─	─	ADJ
m-274	80	22	─	─	ADJ
m-274	80	23	─	─	ADJ
m-274	80	24	─	─	ADJ
m-274	80	25	─	─	ADJ
m-274	80	26	─	─	ADJ
m-274	80	27	─	─	ADJ
m-274	80	28	─	─	ADJ
m-274	80	29	─	─	ADJ
m-274	80	30	─	─	ADJ
m-274	80	31	─	─	ADJ
m-274	80	32	─	─	ADJ
m-274	80	33	─	─	ADJ
m-274	80	34	─	─	ADJ
m-274	80	35	─	─	ADJ
m-274	80	36	─	─	ADJ
m-274	80	37	─	─	ADJ
m-274	80	38	─	─	ADJ
m-274	80	39	─	─	ADJ
m-274	80	40	─	─	ADJ
m-274	80	41	─	─	ADJ
m-274	80	42	─	─	ADJ
m-274	80	43	─	─	ADJ
m-274	80	44	─	─	ADJ
m-274	80	45	─	─	ADJ
m-274	80	46	─	─	ADJ
m-274	80	47	─	─	ADJ
m-274	80	48	─	─	ADJ
m-274	80	49	─	─	PROPN
m-274	80	50	lag	lag	NOUN
m-274	80	51	correlation	correlation	NOUN
m-274	80	52	lag	lag	NOUN
m-274	80	53	correlation	correlation	NOUN
m-274	80	54	lag	lag	NOUN
m-274	80	55	correlation	correlation	NOUN
m-274	80	56	lag	lag	NOUN
m-274	80	57	correlation	correlation	NOUN
m-274	80	58	1	1	NUM
m-274	80	59	0.017623	0.017623	NUM
m-274	80	60	11	11	NUM
m-274	80	61	-0.206787	-0.206787	NOUN
m-274	80	62	21	21	NUM
m-274	80	63	0.048251	0.048251	NUM
m-274	80	64	31	31	NUM
m-274	80	65	-0.009072	-0.009072	NOUN
m-274	80	66	2	2	NUM
m-274	80	67	-0.198659	-0.198659	NOUN
m-274	80	68	12	12	NUM
m-274	80	69	0.126689	0.126689	NUM
m-274	80	70	22	22	NUM
m-274	80	71	-0.023265	-0.023265	NOUN
m-274	80	72	32	32	NUM
m-274	80	73	0.103056	0.103056	NUM
m-274	80	74	3	3	NUM
m-274	80	75	-0.033041	-0.033041	NOUN
m-274	80	76	13	13	NUM
m-274	80	77	-0.023120	-0.023120	NOUN
m-274	80	78	23	23	NUM
m-274	80	79	-0.068452	-0.068452	ADV
m-274	81	1	33	33	NUM
m-274	81	2	0.137523	0.137523	NUM
m-274	81	3	4	4	NUM
m-274	81	4	0.037400	0.037400	NUM
m-274	81	5	14	14	NUM
m-274	81	6	-0.141602	-0.141602	NOUN
m-274	81	7	24	24	NUM
m-274	81	8	0.078515	0.078515	NUM
m-274	81	9	34	34	NUM
m-274	81	10	-0.077645	-0.077645	NOUN
m-274	81	11	5	5	NUM
m-274	81	12	-0.024658	-0.024658	NOUN
m-274	81	13	15	15	NUM
m-274	81	14	-0.041887	-0.041887	ADJ
m-274	81	15	25	25	NUM
m-274	81	16	-0.061904	-0.061904	NOUN
m-274	81	17	35	35	NUM
m-274	81	18	-0.112095	-0.112095	NOUN
m-274	81	19	6	6	NUM
m-274	81	20	0.096889	0.096889	NUM
m-274	81	21	16	16	NUM
m-274	81	22	0.149367	0.149367	NUM
m-274	81	23	26	26	NUM
m-274	81	24	-0.114473	-0.114473	NOUN
m-274	81	25	36	36	NUM
m-274	81	26	0.028800	0.028800	NUM
m-274	81	27	7	7	NUM
m-274	81	28	0.186567	0.186567	NUM
m-274	81	29	17	17	NUM
m-274	81	30	-0.122003	-0.122003	NOUN
m-274	81	31	27	27	NUM
m-274	81	32	0.067000	0.067000	NUM
m-274	81	33	37	37	NUM
m-274	81	34	0.010588	0.010588	NUM
m-274	81	35	8	8	NUM
m-274	81	36	0.027944	0.027944	NUM
m-274	81	37	18	18	NUM
m-274	81	38	-0.154647	-0.154647	VERB
m-274	81	39	28	28	NUM
m-274	81	40	0.087605	0.087605	NUM
m-274	81	41	38	38	NUM
m-274	81	42	-0.094329	-0.094329	NOUN
m-274	81	43	9	9	NUM
m-274	81	44	0.019432	0.019432	NUM
m-274	81	45	19	19	NUM
m-274	81	46	-0.086806	-0.086806	NOUN
m-274	81	47	29	29	NUM
m-274	81	48	-0.046813	-0.046813	NOUN
m-274	81	49	39	39	NUM
m-274	81	50	0.058022	0.058022	NUM
m-274	81	51	10	10	NUM
m-274	81	52	-0.094473	-0.094473	NOUN
m-274	81	53	20	20	NUM
m-274	81	54	-0.017866	-0.017866	NOUN
m-274	81	55	30	30	NUM
m-274	81	56	-0.097414	-0.097414	NOUN
m-274	81	57	40	40	NUM
m-274	81	58	0.082354	0.082354	NUM
m-274	81	59	significant	significant	ADJ
m-274	81	60	if	if	SCONJ
m-274	81	61	|correlation|	|correlation|	NUM
m-274	81	62	>	>	SYM
m-274	81	63	0.204124	0.204124	NUM
m-274	81	64	table	table	NOUN
m-274	81	65	5.partial	5.partial	NUM
m-274	81	66	autocorrelations	autocorrelation	NOUN
m-274	81	67	of	of	ADP
m-274	81	68	yt	yt	PROPN
m-274	81	69	(	(	PUNCT
m-274	81	70	0,0,0,0,1	0,0,0,0,1	NOUN
m-274	81	71	)	)	PUNCT
m-274	82	1	─	─	PUNCT
m-274	82	2	─	─	X
m-274	82	3	─	─	ADJ
m-274	82	4	─	─	ADJ
m-274	82	5	─	─	ADJ
m-274	82	6	─	─	ADJ
m-274	82	7	─	─	ADJ
m-274	82	8	─	─	ADJ
m-274	82	9	─	─	ADJ
m-274	82	10	─	─	ADJ
m-274	82	11	─	─	ADJ
m-274	82	12	─	─	ADJ
m-274	82	13	─	─	ADJ
m-274	82	14	─	─	ADJ
m-274	82	15	─	─	ADJ
m-274	82	16	─	─	ADJ
m-274	82	17	─	─	ADJ
m-274	82	18	─	─	ADJ
m-274	82	19	─	─	ADJ
m-274	82	20	─	─	ADJ
m-274	82	21	─	─	ADJ
m-274	82	22	─	─	ADJ
m-274	82	23	─	─	ADJ
m-274	82	24	─	─	ADJ
m-274	82	25	─	─	ADJ
m-274	82	26	─	─	ADJ
m-274	82	27	─	─	ADJ
m-274	82	28	─	─	ADJ
m-274	82	29	─	─	ADJ
m-274	82	30	─	─	ADJ
m-274	82	31	─	─	ADJ
m-274	82	32	─	─	ADJ
m-274	82	33	─	─	ADJ
m-274	82	34	─	─	ADJ
m-274	82	35	─	─	ADJ
m-274	82	36	─	─	ADJ
m-274	82	37	─	─	ADJ
m-274	82	38	─	─	ADJ
m-274	82	39	─	─	ADJ
m-274	82	40	─	─	ADJ
m-274	82	41	─	─	ADJ
m-274	82	42	─	─	ADJ
m-274	82	43	─	─	ADJ
m-274	82	44	─	─	PROPN
m-274	82	45	lag	lag	NOUN
m-274	82	46	correlation	correlation	NOUN
m-274	82	47	lag	lag	NOUN
m-274	82	48	correlation	correlation	NOUN
m-274	82	49	lag	lag	NOUN
m-274	82	50	correlation	correlation	NOUN
m-274	82	51	lag	lag	NOUN
m-274	82	52	correlation	correlation	NOUN
m-274	82	53	1	1	NUM
m-274	82	54	0.017623	0.017623	NUM
m-274	82	55	11	11	NUM
m-274	82	56	-0.210698	-0.210698	NOUN
m-274	82	57	21	21	NUM
m-274	82	58	0.062361	0.062361	NUM
m-274	82	59	31	31	NUM
m-274	82	60	-0.099679	-0.099679	NOUN
m-274	82	61	2	2	NUM
m-274	82	62	-0.199031	-0.199031	NOUN
m-274	82	63	12	12	NUM
m-274	82	64	0.092510	0.092510	NUM
m-274	82	65	22	22	NUM
m-274	82	66	-0.052010	-0.052010	NOUN
m-274	82	67	32	32	NUM
m-274	82	68	0.070056	0.070056	NUM
m-274	82	69	3	3	NUM
m-274	82	70	-0.026389	-0.026389	NOUN
m-274	82	71	13	13	NUM
m-274	82	72	-0.178303	-0.178303	NOUN
m-274	82	73	23	23	NUM
m-274	82	74	-0.026525	-0.026525	NOUN
m-274	82	75	33	33	NUM
m-274	82	76	0.106009	0.106009	NUM
m-274	82	77	4	4	NUM
m-274	82	78	-0.001082	-0.001082	NOUN
m-274	82	79	14	14	NUM
m-274	82	80	-0.177207	-0.177207	NOUN
m-274	82	81	24	24	NUM
m-274	82	82	0.089137	0.089137	NUM
m-274	82	83	34	34	NUM
m-274	82	84	-0.127389	-0.127389	NOUN
m-274	82	85	5	5	NUM
m-274	82	86	-0.038603	-0.038603	NOUN
m-274	82	87	15	15	NUM
m-274	82	88	-0.094584	-0.094584	NOUN
m-274	82	89	25	25	NUM
m-274	82	90	-0.089422	-0.089422	NOUN
m-274	82	91	35	35	NUM
m-274	82	92	0.004287	0.004287	NUM
m-274	82	93	6	6	NUM
m-274	82	94	0.108780	0.108780	NUM
m-274	82	95	16	16	NUM
m-274	82	96	0.074532	0.074532	NUM
m-274	82	97	26	26	NUM
m-274	82	98	-0.020151	-0.020151	NOUN
m-274	82	99	36	36	NUM
m-274	82	100	-0.062159	-0.062159	NOUN
m-274	82	101	7	7	NUM
m-274	82	102	0.181286	0.181286	NUM
m-274	82	103	17	17	NUM
m-274	82	104	-0.082308	-0.082308	NOUN
m-274	82	105	27	27	NUM
m-274	82	106	0.110811	0.110811	NUM
m-274	82	107	37	37	NUM
m-274	82	108	-0.065611	-0.065611	NOUN
m-274	82	109	8	8	NUM
m-274	82	110	0.067983	0.067983	NUM
m-274	82	111	18	18	NUM
m-274	82	112	-0.036400	-0.036400	NOUN
m-274	82	113	28	28	NUM
m-274	82	114	-0.087167	-0.087167	NOUN
m-274	82	115	38	38	NUM
m-274	82	116	-0.049178	-0.049178	NOUN
m-274	82	117	9	9	NUM
m-274	82	118	0.109374	0.109374	NUM
m-274	82	119	19	19	NUM
m-274	82	120	-0.129148	-0.129148	NOUN
m-274	82	121	29	29	NUM
m-274	82	122	-0.030008	-0.030008	NOUN
m-274	82	123	39	39	NUM
m-274	82	124	-0.049802	-0.049802	NOUN
m-274	82	125	10	10	NUM
m-274	82	126	-0.075281	-0.075281	NOUN
m-274	82	127	20	20	NUM
m-274	82	128	-0.000654	-0.000654	NUM
m-274	82	129	30	30	NUM
m-274	82	130	-0.124178	-0.124178	NOUN
m-274	82	131	40	40	NUM
m-274	82	132	-0.092858	-0.092858	NOUN
m-274	82	133	significant	significant	ADJ
m-274	82	134	if	if	SCONJ
m-274	82	135	|correlation|	|correlation|	NOUN
m-274	82	136	>	>	X
m-274	82	137	0.204124	0.204124	NUM
m-274	82	138	the	the	DET
m-274	82	139	results	result	NOUN
m-274	82	140	from	from	ADP
m-274	82	141	both	both	DET
m-274	82	142	tables	table	NOUN
m-274	82	143	5	5	NUM
m-274	82	144	and	and	CCONJ
m-274	82	145	6	6	NUM
m-274	82	146	show	show	VERB
m-274	82	147	that	that	SCONJ
m-274	82	148	that	that	SCONJ
m-274	82	149	the	the	DET
m-274	82	150	pac	pac	PROPN
m-274	82	151	f	f	X
m-274	82	152	,	,	PUNCT
m-274	82	153	and	and	CCONJ
m-274	82	154	acf	acf	PROPN
m-274	82	155	have	have	AUX
m-274	82	156	absolutes	absolute	VERB
m-274	82	157	values	value	NOUN
m-274	82	158	that	that	PRON
m-274	82	159	are	be	AUX
m-274	82	160	less	less	ADJ
m-274	82	161	than	than	ADP
m-274	82	162	the	the	DET
m-274	82	163	table	table	NOUN
m-274	82	164	value	value	NOUN
m-274	82	165	of	of	ADP
m-274	82	166	0.204124	0.204124	NUM
m-274	82	167	as	as	SCONJ
m-274	82	168	indicated	indicate	VERB
m-274	82	169	by	by	ADP
m-274	82	170	the	the	DET
m-274	82	171	software.this	software.this	PROPN
m-274	82	172	further	far	ADV
m-274	82	173	confirms	confirm	VERB
m-274	82	174	the	the	DET
m-274	82	175	adequacy	adequacy	NOUN
m-274	82	176	of	of	ADP
m-274	82	177	the	the	DET
m-274	82	178	adopted	adopted	ADJ
m-274	82	179	model.the	model.the	DET
m-274	82	180	plots	plot	NOUN
m-274	82	181	of	of	ADP
m-274	82	182	acf	acf	NOUN
m-274	82	183	and	and	CCONJ
m-274	82	184	pacf	pacf	NOUN
m-274	82	185	shown	show	VERB
m-274	82	186	in	in	ADP
m-274	82	187	figures	figure	NOUN
m-274	82	188	4	4	NUM
m-274	82	189	and	and	CCONJ
m-274	82	190	5	5	NUM
m-274	82	191	each	each	PRON
m-274	82	192	did	do	AUX
m-274	82	193	not	not	PART
m-274	82	194	exhibit	exhibit	VERB
m-274	82	195	spike	spike	NOUN
m-274	82	196	at	at	ADP
m-274	82	197	any	any	DET
m-274	82	198	lag	lag	NOUN
m-274	82	199	,	,	PUNCT
m-274	82	200	demonstrating	demonstrate	VERB
m-274	82	201	that	that	SCONJ
m-274	82	202	the	the	DET
m-274	82	203	correct	correct	ADJ
m-274	82	204	model	model	NOUN
m-274	82	205	has	have	AUX
m-274	82	206	been	be	AUX
m-274	82	207	obtained	obtain	VERB
m-274	82	208	.	.	PUNCT
m-274	83	1	conclusion	conclusion	NOUN
m-274	83	2	.	.	PUNCT
m-274	84	1	the	the	DET
m-274	84	2	paper	paper	NOUN
m-274	84	3	has	have	AUX
m-274	84	4	explained	explain	VERB
m-274	84	5	briefly	briefly	ADV
m-274	84	6	the	the	DET
m-274	84	7	difference	difference	NOUN
m-274	84	8	between	between	ADP
m-274	84	9	spectral	spectral	ADJ
m-274	84	10	analysis	analysis	NOUN
m-274	84	11	and	and	CCONJ
m-274	84	12	harmonic	harmonic	ADJ
m-274	84	13	analysis	analysis	NOUN
m-274	84	14	given	give	VERB
m-274	84	15	the	the	DET
m-274	84	16	results	result	NOUN
m-274	84	17	in	in	ADP
m-274	84	18	each	each	DET
m-274	84	19	case	case	NOUN
m-274	84	20	using	use	VERB
m-274	84	21	an	an	DET
m-274	84	22	example	example	NOUN
m-274	84	23	.	.	PUNCT
m-274	85	1	it	it	PRON
m-274	85	2	has	have	AUX
m-274	85	3	also	also	ADV
m-274	85	4	shown	show	VERB
m-274	85	5	that	that	SCONJ
m-274	85	6	to	to	PART
m-274	85	7	carry	carry	VERB
m-274	85	8	out	out	ADP
m-274	85	9	harmonic	harmonic	ADJ
m-274	85	10	analysis	analysis	NOUN
m-274	85	11	,	,	PUNCT
m-274	85	12	spectral	spectral	ADJ
m-274	85	13	analysis	analysis	NOUN
m-274	85	14	must	must	AUX
m-274	85	15	be	be	AUX
m-274	85	16	performed	perform	VERB
m-274	85	17	to	to	PART
m-274	85	18	obtain	obtain	VERB
m-274	85	19	significant	significant	ADJ
m-274	85	20	frequency	frequency	NOUN
m-274	85	21	that	that	PRON
m-274	85	22	will	will	AUX
m-274	85	23	be	be	AUX
m-274	85	24	used	use	VERB
m-274	85	25	to	to	PART
m-274	85	26	get	get	VERB
m-274	85	27	an	an	DET
m-274	85	28	appropriate	appropriate	ADJ
m-274	85	29	model	model	NOUN
m-274	85	30	.	.	PUNCT
m-274	86	1	ijo	ijo	PROPN
m-274	86	2	international	international	PROPN
m-274	86	3	journal	journal	PROPN
m-274	86	4	of	of	ADP
m-274	86	5	mathematics	mathematics	PROPN
m-274	86	6	volume	volume	NOUN
m-274	86	7	03	03	NUM
m-274	87	1	|issue	|issue	NOUN
m-274	87	2	01	01	NUM
m-274	88	1	|	|	CCONJ
m-274	88	2	january	january	PROPN
m-274	88	3	2020	2020	NUM
m-274	88	4	www.ijojournals.com	www.ijojournals.com	X
m-274	89	1	11	11	NUM
m-274	89	2	references	reference	NOUN
m-274	89	3	1.david	1.david	NUM
m-274	89	4	r.	r.	PROPN
m-274	89	5	brillinger	brillinger	NOUN
m-274	89	6	(	(	PUNCT
m-274	89	7	(	(	PUNCT
m-274	89	8	2	2	NUM
m-274	89	9	numberz001	numberz001	PROPN
m-274	89	10	)	)	PUNCT
m-274	89	11	time	time	NOUN
m-274	89	12	series	series	PROPN
m-274	89	13	data	data	VERB
m-274	89	14	analysis	analysis	NOUN
m-274	89	15	and	and	CCONJ
m-274	89	16	theory.holden	theory.holden	PRON
m-274	89	17	day.inc	day.inc	NUM
m-274	89	18	,	,	PUNCT
m-274	89	19	san	san	PROPN
m-274	89	20	francisco	francisco	PROPN
m-274	89	21	.	.	PUNCT
m-274	90	1	2.chris	2.chris	NUM
m-274	90	2	hintz	hintz	X
m-274	90	3	(	(	PUNCT
m-274	90	4	2019	2019	NUM
m-274	90	5	)	)	PUNCT
m-274	90	6	.number	.number	CCONJ
m-274	90	7	cruncher	cruncher	NOUN
m-274	90	8	statistical	statistical	ADJ
m-274	90	9	system	system	NOUN
m-274	90	10	(	(	PUNCT
m-274	90	11	ncss	ncss	PROPN
m-274	90	12	2019	2019	NUM
m-274	90	13	)	)	PUNCT
m-274	90	14	3	3	NUM
m-274	90	15	.	.	PUNCT
m-274	90	16	ijo	ijo	PROPN
m-274	90	17	international	international	PROPN
m-274	90	18	journal	journal	PROPN
m-274	90	19	of	of	ADP
m-274	90	20	mathematics	mathematics	PROPN
m-274	90	21	volume	volume	NOUN
m-274	90	22	03	03	NUM
m-274	90	23	|issue	|issue	NOUN
m-274	90	24	01	01	NUM
m-274	91	1	|	|	CCONJ
m-274	91	2	january	january	PROPN
m-274	91	3	2020	2020	NUM
m-274	92	1	www.ijojournals.com	www.ijojournals.com	X
m-274	92	2	12	12	NUM
m-274	92	3	word	word	NOUN
m-274	92	4	bookmarks	bookmark	NOUN
m-274	92	5	12partial_autocorrelations_of_c6_(0,0,0	12partial_autocorrelations_of_c6_(0,0,0	NOUN
m-274	92	6	,	,	PUNCT
m-274	92	7	12autocorrelations_of_c6_(0,0,0,0,1)12/1	12autocorrelations_of_c6_(0,0,0,0,1)12/1	NOUN