id	sid	tid	token	lemma	pos
american_scientific_journal-5504	1	1	29	29	NUM
american_scientific_journal-5504	1	2	american	american	ADJ
american_scientific_journal-5504	1	3	scientific	scientific	ADJ
american_scientific_journal-5504	1	4	research	research	NOUN
american_scientific_journal-5504	1	5	journal	journal	NOUN
american_scientific_journal-5504	1	6	for	for	ADP
american_scientific_journal-5504	1	7	engineering	engineering	NOUN
american_scientific_journal-5504	1	8	,	,	PUNCT
american_scientific_journal-5504	1	9	technology	technology	NOUN
american_scientific_journal-5504	1	10	,	,	PUNCT
american_scientific_journal-5504	1	11	and	and	CCONJ
american_scientific_journal-5504	1	12	sciences	science	NOUN
american_scientific_journal-5504	1	13	(	(	PUNCT
american_scientific_journal-5504	1	14	asrjets	asrjet	NOUN
american_scientific_journal-5504	1	15	)	)	PUNCT
american_scientific_journal-5504	1	16	issn	issn	PROPN
american_scientific_journal-5504	1	17	(	(	PUNCT
american_scientific_journal-5504	1	18	print	print	NOUN
american_scientific_journal-5504	1	19	)	)	PUNCT
american_scientific_journal-5504	1	20	2313	2313	NUM
american_scientific_journal-5504	1	21	-	-	SYM
american_scientific_journal-5504	1	22	4410	4410	NUM
american_scientific_journal-5504	1	23	,	,	PUNCT
american_scientific_journal-5504	1	24	issn	issn	PROPN
american_scientific_journal-5504	1	25	(	(	PUNCT
american_scientific_journal-5504	1	26	online	online	ADJ
american_scientific_journal-5504	1	27	)	)	PUNCT
american_scientific_journal-5504	1	28	2313	2313	NUM
american_scientific_journal-5504	1	29	-	-	SYM
american_scientific_journal-5504	1	30	4402	4402	NUM
american_scientific_journal-5504	1	31	©	©	PROPN
american_scientific_journal-5504	1	32	global	global	ADJ
american_scientific_journal-5504	1	33	society	society	NOUN
american_scientific_journal-5504	1	34	of	of	ADP
american_scientific_journal-5504	1	35	scientific	scientific	ADJ
american_scientific_journal-5504	1	36	research	research	NOUN
american_scientific_journal-5504	1	37	and	and	CCONJ
american_scientific_journal-5504	1	38	researchers	researcher	NOUN
american_scientific_journal-5504	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	NOUN
american_scientific_journal-5504	1	40	relationship	relationship	NOUN
american_scientific_journal-5504	1	41	of	of	ADP
american_scientific_journal-5504	1	42	bell	bell	NOUN
american_scientific_journal-5504	1	43	’s	’s	PART
american_scientific_journal-5504	1	44	polynomial	polynomial	ADJ
american_scientific_journal-5504	1	45	matrix	matrix	NOUN
american_scientific_journal-5504	1	46	and	and	CCONJ
american_scientific_journal-5504	1	47	k	k	ADJ
american_scientific_journal-5504	1	48	-	-	PUNCT
american_scientific_journal-5504	1	49	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	1	50	matrix	matrix	NOUN
american_scientific_journal-5504	1	51	mawaddaturrohmah	mawaddaturrohmah	NOUN
american_scientific_journal-5504	1	52	a	a	PRON
american_scientific_journal-5504	1	53	,	,	PUNCT
american_scientific_journal-5504	1	54	sri	sri	PROPN
american_scientific_journal-5504	1	55	gemawati	gemawati	PROPN
american_scientific_journal-5504	1	56	b	b	PROPN
american_scientific_journal-5504	1	57	*	*	PROPN
american_scientific_journal-5504	1	58	a	a	PRON
american_scientific_journal-5504	1	59	,	,	PUNCT
american_scientific_journal-5504	1	60	b	b	PROPN
american_scientific_journal-5504	1	61	department	department	NOUN
american_scientific_journal-5504	1	62	of	of	ADP
american_scientific_journal-5504	1	63	mathematics	mathematics	PROPN
american_scientific_journal-5504	1	64	,	,	PUNCT
american_scientific_journal-5504	1	65	university	university	NOUN
american_scientific_journal-5504	1	66	of	of	ADP
american_scientific_journal-5504	1	67	riau	riau	PROPN
american_scientific_journal-5504	1	68	,	,	PUNCT
american_scientific_journal-5504	1	69	pekanbaru	pekanbaru	NOUN
american_scientific_journal-5504	1	70	28293	28293	NUM
american_scientific_journal-5504	1	71	,	,	PUNCT
american_scientific_journal-5504	1	72	indonesia	indonesia	PROPN
american_scientific_journal-5504	1	73	a	a	DET
american_scientific_journal-5504	1	74	email	email	NOUN
american_scientific_journal-5504	1	75	:	:	PUNCT
american_scientific_journal-5504	1	76	mawadda_fisabilillah@ymail.com	mawadda_fisabilillah@ymail.com	X
american_scientific_journal-5504	1	77	b	b	PROPN
american_scientific_journal-5504	1	78	email	email	NOUN
american_scientific_journal-5504	1	79	:	:	PUNCT
american_scientific_journal-5504	1	80	sri.gemawati@lecturer.unri.ac.id	sri.gemawati@lecturer.unri.ac.id	PROPN
american_scientific_journal-5504	1	81	abstract	abstract	ADJ
american_scientific_journal-5504	1	82	the	the	DET
american_scientific_journal-5504	1	83	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	1	84	polynomial	polynomial	ADJ
american_scientific_journal-5504	1	85	matrix	matrix	NOUN
american_scientific_journal-5504	1	86	is	be	AUX
american_scientific_journal-5504	1	87	expressed	express	VERB
american_scientific_journal-5504	1	88	as	as	ADP
american_scientific_journal-5504	1	89	,	,	PUNCT
american_scientific_journal-5504	1	90	where	where	SCONJ
american_scientific_journal-5504	1	91	each	each	PRON
american_scientific_journal-5504	1	92	of	of	ADP
american_scientific_journal-5504	1	93	its	its	PRON
american_scientific_journal-5504	1	94	entry	entry	NOUN
american_scientific_journal-5504	1	95	represents	represent	VERB
american_scientific_journal-5504	1	96	the	the	DET
american_scientific_journal-5504	1	97	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	1	98	polynomial	polynomial	NOUN
american_scientific_journal-5504	1	99	number.this	number.this	PRON
american_scientific_journal-5504	1	100	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	1	101	polynomial	polynomial	ADJ
american_scientific_journal-5504	1	102	number	number	NOUN
american_scientific_journal-5504	1	103	functions	function	NOUN
american_scientific_journal-5504	1	104	as	as	ADP
american_scientific_journal-5504	1	105	an	an	DET
american_scientific_journal-5504	1	106	information	information	NOUN
american_scientific_journal-5504	1	107	code	code	NOUN
american_scientific_journal-5504	1	108	of	of	ADP
american_scientific_journal-5504	1	109	the	the	DET
american_scientific_journal-5504	1	110	number	number	NOUN
american_scientific_journal-5504	1	111	of	of	ADP
american_scientific_journal-5504	1	112	ways	way	NOUN
american_scientific_journal-5504	1	113	in	in	ADP
american_scientific_journal-5504	1	114	which	which	PRON
american_scientific_journal-5504	1	115	partitions	partition	NOUN
american_scientific_journal-5504	1	116	of	of	ADP
american_scientific_journal-5504	1	117	a	a	DET
american_scientific_journal-5504	1	118	set	set	NOUN
american_scientific_journal-5504	1	119	with	with	ADP
american_scientific_journal-5504	1	120	certain	certain	ADJ
american_scientific_journal-5504	1	121	elements	element	NOUN
american_scientific_journal-5504	1	122	are	be	AUX
american_scientific_journal-5504	1	123	arranged	arrange	VERB
american_scientific_journal-5504	1	124	into	into	ADP
american_scientific_journal-5504	1	125	several	several	ADJ
american_scientific_journal-5504	1	126	non	non	ADJ
american_scientific_journal-5504	1	127	-	-	ADJ
american_scientific_journal-5504	1	128	empty	empty	ADJ
american_scientific_journal-5504	1	129	section	section	NOUN
american_scientific_journal-5504	1	130	blocks	block	NOUN
american_scientific_journal-5504	1	131	.	.	PUNCT
american_scientific_journal-5504	2	1	furthermore	furthermore	ADV
american_scientific_journal-5504	2	2	,	,	PUNCT
american_scientific_journal-5504	2	3	thekfibonacci	thekfibonacci	NOUN
american_scientific_journal-5504	2	4	matrix	matrix	NOUN
american_scientific_journal-5504	2	5	is	be	AUX
american_scientific_journal-5504	2	6	expressed	express	VERB
american_scientific_journal-5504	2	7	as	as	ADP
american_scientific_journal-5504	2	8	,	,	PUNCT
american_scientific_journal-5504	2	9	where	where	SCONJ
american_scientific_journal-5504	2	10	each	each	PRON
american_scientific_journal-5504	2	11	of	of	ADP
american_scientific_journal-5504	2	12	its	its	PRON
american_scientific_journal-5504	2	13	entry	entry	NOUN
american_scientific_journal-5504	2	14	represents	represent	VERB
american_scientific_journal-5504	2	15	the	the	DET
american_scientific_journal-5504	2	16	k	k	PROPN
american_scientific_journal-5504	2	17	-	-	PUNCT
american_scientific_journal-5504	2	18	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	2	19	number	number	NOUN
american_scientific_journal-5504	2	20	,	,	PUNCT
american_scientific_journal-5504	2	21	whose	whose	DET
american_scientific_journal-5504	2	22	first	first	ADJ
american_scientific_journal-5504	2	23	term	term	NOUN
american_scientific_journal-5504	2	24	is	be	AUX
american_scientific_journal-5504	2	25	0	0	NUM
american_scientific_journal-5504	2	26	,	,	PUNCT
american_scientific_journal-5504	2	27	the	the	DET
american_scientific_journal-5504	2	28	second	second	ADJ
american_scientific_journal-5504	2	29	term	term	NOUN
american_scientific_journal-5504	2	30	is	be	AUX
american_scientific_journal-5504	2	31	1	1	NUM
american_scientific_journal-5504	2	32	and	and	CCONJ
american_scientific_journal-5504	2	33	the	the	DET
american_scientific_journal-5504	2	34	next	next	ADJ
american_scientific_journal-5504	2	35	term	term	NOUN
american_scientific_journal-5504	2	36	depends	depend	VERB
american_scientific_journal-5504	2	37	on	on	ADP
american_scientific_journal-5504	2	38	a	a	DET
american_scientific_journal-5504	2	39	positive	positive	ADJ
american_scientific_journal-5504	2	40	integer	integer	NOUN
american_scientific_journal-5504	2	41	k.	k.	PROPN
american_scientific_journal-5504	3	1	this	this	DET
american_scientific_journal-5504	3	2	article	article	NOUN
american_scientific_journal-5504	3	3	aims	aim	VERB
american_scientific_journal-5504	3	4	to	to	PART
american_scientific_journal-5504	3	5	find	find	VERB
american_scientific_journal-5504	3	6	a	a	DET
american_scientific_journal-5504	3	7	matrix	matrix	NOUN
american_scientific_journal-5504	3	8	based	base	VERB
american_scientific_journal-5504	3	9	on	on	ADP
american_scientific_journal-5504	3	10	the	the	DET
american_scientific_journal-5504	3	11	multiplication	multiplication	NOUN
american_scientific_journal-5504	3	12	of	of	ADP
american_scientific_journal-5504	3	13	the	the	DET
american_scientific_journal-5504	3	14	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	3	15	polynomial	polynomial	ADJ
american_scientific_journal-5504	3	16	matrix	matrix	NOUN
american_scientific_journal-5504	3	17	and	and	CCONJ
american_scientific_journal-5504	3	18	the	the	DET
american_scientific_journal-5504	3	19	k	k	PROPN
american_scientific_journal-5504	3	20	-	-	PUNCT
american_scientific_journal-5504	3	21	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	3	22	matrix	matrix	NOUN
american_scientific_journal-5504	3	23	.	.	PUNCT
american_scientific_journal-5504	4	1	then	then	ADV
american_scientific_journal-5504	4	2	from	from	ADP
american_scientific_journal-5504	4	3	the	the	DET
american_scientific_journal-5504	4	4	relationship	relationship	NOUN
american_scientific_journal-5504	4	5	between	between	ADP
american_scientific_journal-5504	4	6	the	the	DET
american_scientific_journal-5504	4	7	two	two	NUM
american_scientific_journal-5504	4	8	matrices	matrix	NOUN
american_scientific_journal-5504	4	9	the	the	DET
american_scientific_journal-5504	4	10	matrix	matrix	NOUN
american_scientific_journal-5504	4	11	is	be	AUX
american_scientific_journal-5504	4	12	obtained	obtain	VERB
american_scientific_journal-5504	4	13	.	.	PUNCT
american_scientific_journal-5504	5	1	the	the	DET
american_scientific_journal-5504	5	2	matrix	matrix	NOUN
american_scientific_journal-5504	5	3	is	be	AUX
american_scientific_journal-5504	5	4	not	not	PART
american_scientific_journal-5504	5	5	commutative	commutative	ADJ
american_scientific_journal-5504	5	6	from	from	ADP
american_scientific_journal-5504	5	7	the	the	DET
american_scientific_journal-5504	5	8	product	product	NOUN
american_scientific_journal-5504	5	9	of	of	ADP
american_scientific_journal-5504	5	10	the	the	DET
american_scientific_journal-5504	5	11	two	two	NUM
american_scientific_journal-5504	5	12	matrices	matrix	NOUN
american_scientific_journal-5504	5	13	,	,	PUNCT
american_scientific_journal-5504	5	14	so	so	SCONJ
american_scientific_journal-5504	5	15	we	we	PRON
american_scientific_journal-5504	5	16	get	get	VERB
american_scientific_journal-5504	5	17	matrix	matrix	NOUN
american_scientific_journal-5504	5	18	thus	thus	ADV
american_scientific_journal-5504	5	19	,	,	PUNCT
american_scientific_journal-5504	5	20	the	the	DET
american_scientific_journal-5504	5	21	matrix	matrix	NOUN
american_scientific_journal-5504	5	22	,	,	PUNCT
american_scientific_journal-5504	5	23	so	so	SCONJ
american_scientific_journal-5504	5	24	that	that	SCONJ
american_scientific_journal-5504	5	25	the	the	DET
american_scientific_journal-5504	5	26	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	5	27	polynomial	polynomial	ADJ
american_scientific_journal-5504	5	28	matrix	matrix	NOUN
american_scientific_journal-5504	5	29	relationship	relationship	NOUN
american_scientific_journal-5504	5	30	can	can	AUX
american_scientific_journal-5504	5	31	be	be	AUX
american_scientific_journal-5504	5	32	expressed	express	VERB
american_scientific_journal-5504	5	33	as	as	ADP
american_scientific_journal-5504	5	34	keywords	keyword	NOUN
american_scientific_journal-5504	5	35	:	:	PUNCT
american_scientific_journal-5504	5	36	bell‟s	bell‟s	VERB
american_scientific_journal-5504	5	37	polynomial	polynomial	ADJ
american_scientific_journal-5504	5	38	number	number	NOUN
american_scientific_journal-5504	5	39	;	;	PUNCT
american_scientific_journal-5504	5	40	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	5	41	polynomial	polynomial	ADJ
american_scientific_journal-5504	5	42	matrix	matrix	NOUN
american_scientific_journal-5504	5	43	;	;	PUNCT
american_scientific_journal-5504	5	44	k	k	X
american_scientific_journal-5504	5	45	-	-	PUNCT
american_scientific_journal-5504	5	46	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	5	47	number	number	NOUN
american_scientific_journal-5504	5	48	;	;	PUNCT
american_scientific_journal-5504	5	49	k	k	X
american_scientific_journal-5504	5	50	-	-	PUNCT
american_scientific_journal-5504	5	51	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	5	52	matrix	matrix	NOUN
american_scientific_journal-5504	5	53	.	.	PUNCT
american_scientific_journal-5504	6	1	1	1	X
american_scientific_journal-5504	6	2	.	.	X
american_scientific_journal-5504	6	3	introduction	introduction	NOUN
american_scientific_journal-5504	6	4	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	6	5	polynomial	polynomial	ADJ
american_scientific_journal-5504	6	6	numbers	number	NOUN
american_scientific_journal-5504	6	7	are	be	AUX
american_scientific_journal-5504	6	8	studied	study	VERB
american_scientific_journal-5504	6	9	by	by	ADP
american_scientific_journal-5504	6	10	mathematicians	mathematician	NOUN
american_scientific_journal-5504	6	11	since	since	SCONJ
american_scientific_journal-5504	6	12	the	the	DET
american_scientific_journal-5504	6	13	19th	19th	ADJ
american_scientific_journal-5504	6	14	century	century	NOUN
american_scientific_journal-5504	6	15	and	and	CCONJ
american_scientific_journal-5504	6	16	are	be	AUX
american_scientific_journal-5504	6	17	named	name	VERB
american_scientific_journal-5504	6	18	after	after	ADP
american_scientific_journal-5504	6	19	their	their	PRON
american_scientific_journal-5504	6	20	inventor	inventor	NOUN
american_scientific_journal-5504	6	21	eric	eric	PROPN
american_scientific_journal-5504	6	22	temple	temple	PROPN
american_scientific_journal-5504	6	23	bell	bell	PROPN
american_scientific_journal-5504	6	24	in	in	ADP
american_scientific_journal-5504	6	25	1938[5	1938[5	NUM
american_scientific_journal-5504	6	26	]	]	PUNCT
american_scientific_journal-5504	6	27	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	6	28	polynomial	polynomial	ADJ
american_scientific_journal-5504	6	29	numbers	number	NOUN
american_scientific_journal-5504	6	30	are	be	AUX
american_scientific_journal-5504	6	31	represented	represent	VERB
american_scientific_journal-5504	6	32	by	by	ADP
american_scientific_journal-5504	6	33	for	for	ADP
american_scientific_journal-5504	6	34	each	each	DET
american_scientific_journal-5504	6	35	n	n	NOUN
american_scientific_journal-5504	6	36	and	and	CCONJ
american_scientific_journal-5504	6	37	kelementsof	kelementsof	VERB
american_scientific_journal-5504	6	38	the	the	DET
american_scientific_journal-5504	6	39	natural	natural	ADJ
american_scientific_journal-5504	6	40	number	number	NOUN
american_scientific_journal-5504	6	41	,	,	PUNCT
american_scientific_journal-5504	6	42	starting	start	VERB
american_scientific_journal-5504	6	43	from	from	ADP
american_scientific_journal-5504	6	44	1	1	NUM
american_scientific_journal-5504	6	45	and	and	CCONJ
american_scientific_journal-5504	6	46	1	1	NUM
american_scientific_journal-5504	6	47	[	[	SYM
american_scientific_journal-5504	6	48	2	2	NUM
american_scientific_journal-5504	6	49	,	,	PUNCT
american_scientific_journal-5504	6	50	p	p	NOUN
american_scientific_journal-5504	6	51	135	135	NUM
american_scientific_journal-5504	6	52	]	]	PUNCT
american_scientific_journal-5504	6	53	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	6	54	polynomial	polynomial	ADJ
american_scientific_journal-5504	6	55	numbers	number	NOUN
american_scientific_journal-5504	6	56	can	can	AUX
american_scientific_journal-5504	6	57	be	be	AUX
american_scientific_journal-5504	6	58	formed	form	VERB
american_scientific_journal-5504	6	59	into	into	ADP
american_scientific_journal-5504	6	60	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	6	61	polynomial	polynomial	ADJ
american_scientific_journal-5504	6	62	matrix	matrix	NOUN
american_scientific_journal-5504	6	63	so	so	SCONJ
american_scientific_journal-5504	6	64	that	that	SCONJ
american_scientific_journal-5504	6	65	each	each	DET
american_scientific_journal-5504	6	66	entry	entry	NOUN
american_scientific_journal-5504	6	67	of	of	ADP
american_scientific_journal-5504	6	68	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	6	69	polynomial	polynomial	ADJ
american_scientific_journal-5504	6	70	matrix	matrix	NOUN
american_scientific_journal-5504	6	71	is	be	AUX
american_scientific_journal-5504	6	72	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	6	73	polynomial	polynomial	ADJ
american_scientific_journal-5504	6	74	number	number	NOUN
american_scientific_journal-5504	6	75	and	and	CCONJ
american_scientific_journal-5504	6	76	is	be	AUX
american_scientific_journal-5504	6	77	represented	represent	VERB
american_scientific_journal-5504	6	78	by	by	ADP
american_scientific_journal-5504	6	79	[	[	X
american_scientific_journal-5504	6	80	11	11	NUM
american_scientific_journal-5504	6	81	]	]	PUNCT
american_scientific_journal-5504	6	82	.	.	PUNCT
american_scientific_journal-5504	7	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-5504	8	1	*	*	PUNCT
american_scientific_journal-5504	8	2	corresponding	correspond	VERB
american_scientific_journal-5504	8	3	author	author	NOUN
american_scientific_journal-5504	8	4	american	american	PROPN
american_scientific_journal-5504	8	5	scientific	scientific	PROPN
american_scientific_journal-5504	8	6	research	research	PROPN
american_scientific_journal-5504	8	7	journal	journal	NOUN
american_scientific_journal-5504	8	8	for	for	ADP
american_scientific_journal-5504	8	9	engineering	engineering	NOUN
american_scientific_journal-5504	8	10	,	,	PUNCT
american_scientific_journal-5504	8	11	technology	technology	NOUN
american_scientific_journal-5504	8	12	,	,	PUNCT
american_scientific_journal-5504	8	13	and	and	CCONJ
american_scientific_journal-5504	8	14	sciences	science	NOUN
american_scientific_journal-5504	8	15	(	(	PUNCT
american_scientific_journal-5504	8	16	asrjets	asrjet	NOUN
american_scientific_journal-5504	8	17	)	)	PUNCT
american_scientific_journal-5504	8	18	(	(	PUNCT
american_scientific_journal-5504	8	19	2020	2020	NUM
american_scientific_journal-5504	8	20	)	)	PUNCT
american_scientific_journal-5504	8	21	volume	volume	NOUN
american_scientific_journal-5504	8	22	65	65	NUM
american_scientific_journal-5504	8	23	,	,	PUNCT
american_scientific_journal-5504	8	24	no	no	DET
american_scientific_journal-5504	8	25	1	1	NUM
american_scientific_journal-5504	8	26	,	,	PUNCT
american_scientific_journal-5504	8	27	pp	pp	ADV
american_scientific_journal-5504	8	28	29	29	NUM
american_scientific_journal-5504	8	29	-	-	SYM
american_scientific_journal-5504	8	30	38	38	NUM
american_scientific_journal-5504	8	31	30	30	NUM
american_scientific_journal-5504	8	32	reference	reference	NOUN
american_scientific_journal-5504	8	33	[	[	X
american_scientific_journal-5504	8	34	1	1	NUM
american_scientific_journal-5504	8	35	]	]	PUNCT
american_scientific_journal-5504	8	36	discuss	discuss	VERB
american_scientific_journal-5504	8	37	the	the	DET
american_scientific_journal-5504	8	38	relationship	relationship	NOUN
american_scientific_journal-5504	8	39	of	of	ADP
american_scientific_journal-5504	8	40	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	8	41	polynomial	polynomial	ADJ
american_scientific_journal-5504	8	42	numbers	number	NOUN
american_scientific_journal-5504	8	43	and	and	CCONJ
american_scientific_journal-5504	8	44	stirling	stirling	NOUN
american_scientific_journal-5504	8	45	number	number	NOUN
american_scientific_journal-5504	8	46	of	of	ADP
american_scientific_journal-5504	8	47	the	the	DET
american_scientific_journal-5504	8	48	second	second	ADJ
american_scientific_journal-5504	8	49	kind	kind	NOUN
american_scientific_journal-5504	8	50	involving	involve	VERB
american_scientific_journal-5504	8	51	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	8	52	number	number	NOUN
american_scientific_journal-5504	8	53	,	,	PUNCT
american_scientific_journal-5504	8	54	reference	reference	NOUN
american_scientific_journal-5504	8	55	[	[	X
american_scientific_journal-5504	8	56	5	5	NUM
american_scientific_journal-5504	8	57	]	]	PUNCT
american_scientific_journal-5504	8	58	discuss	discuss	VERB
american_scientific_journal-5504	8	59	the	the	DET
american_scientific_journal-5504	8	60	relationship	relationship	NOUN
american_scientific_journal-5504	8	61	between	between	ADP
american_scientific_journal-5504	8	62	repetition	repetition	NOUN
american_scientific_journal-5504	8	63	of	of	ADP
american_scientific_journal-5504	8	64	partition	partition	NOUN
american_scientific_journal-5504	8	65	vectors	vector	NOUN
american_scientific_journal-5504	8	66	for	for	ADP
american_scientific_journal-5504	8	67	bell‟s	bell‟	VERB
american_scientific_journal-5504	8	68	polynomial	polynomial	ADJ
american_scientific_journal-5504	8	69	number	number	NOUN
american_scientific_journal-5504	8	70	,	,	PUNCT
american_scientific_journal-5504	8	71	reference	reference	NOUN
american_scientific_journal-5504	8	72	[	[	X
american_scientific_journal-5504	8	73	6	6	NUM
american_scientific_journal-5504	8	74	]	]	PUNCT
american_scientific_journal-5504	8	75	discusses	discuss	VERB
american_scientific_journal-5504	8	76	bell‟s	bell‟s	VERB
american_scientific_journal-5504	8	77	polynomial	polynomial	ADJ
american_scientific_journal-5504	8	78	number	number	NOUN
american_scientific_journal-5504	8	79	involving	involve	VERB
american_scientific_journal-5504	8	80	binomial	binomial	ADJ
american_scientific_journal-5504	8	81	lines	line	NOUN
american_scientific_journal-5504	8	82	,	,	PUNCT
american_scientific_journal-5504	8	83	qi	qi	PROPN
american_scientific_journal-5504	8	84	and	and	CCONJ
american_scientific_journal-5504	8	85	his	his	PRON
american_scientific_journal-5504	8	86	colleagues	colleague	NOUN
american_scientific_journal-5504	9	1	[	[	X
american_scientific_journal-5504	9	2	7	7	X
american_scientific_journal-5504	9	3	]	]	PUNCT
american_scientific_journal-5504	9	4	define	define	VERB
american_scientific_journal-5504	9	5	the	the	DET
american_scientific_journal-5504	9	6	relationship	relationship	NOUN
american_scientific_journal-5504	9	7	between	between	ADP
american_scientific_journal-5504	9	8	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	9	9	polynomial	polynomial	ADJ
american_scientific_journal-5504	9	10	number	number	NOUN
american_scientific_journal-5504	9	11	andstirling	andstirle	VERB
american_scientific_journal-5504	9	12	numbers	number	NOUN
american_scientific_journal-5504	9	13	of	of	ADP
american_scientific_journal-5504	9	14	the	the	DET
american_scientific_journal-5504	9	15	first	first	ADJ
american_scientific_journal-5504	9	16	kind	kind	NOUN
american_scientific_journal-5504	9	17	and	and	CCONJ
american_scientific_journal-5504	9	18	stirling	stirling	NOUN
american_scientific_journal-5504	9	19	numbers	number	NOUN
american_scientific_journal-5504	9	20	of	of	ADP
american_scientific_journal-5504	9	21	the	the	DET
american_scientific_journal-5504	9	22	second	second	ADJ
american_scientific_journal-5504	9	23	kind	kind	NOUN
american_scientific_journal-5504	9	24	,	,	PUNCT
american_scientific_journal-5504	9	25	wang	wang	PROPN
american_scientific_journal-5504	9	26	and	and	CCONJ
american_scientific_journal-5504	9	27	wang	wang	PROPN
american_scientific_journal-5504	10	1	[	[	X
american_scientific_journal-5504	10	2	10	10	NUM
american_scientific_journal-5504	10	3	]	]	PUNCT
american_scientific_journal-5504	10	4	discuss	discuss	VERB
american_scientific_journal-5504	10	5	the	the	DET
american_scientific_journal-5504	10	6	relationship	relationship	NOUN
american_scientific_journal-5504	10	7	of	of	ADP
american_scientific_journal-5504	10	8	the	the	DET
american_scientific_journal-5504	10	9	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	10	10	polynomial	polynomial	ADJ
american_scientific_journal-5504	10	11	matrix	matrix	NOUN
american_scientific_journal-5504	10	12	by	by	ADP
american_scientific_journal-5504	10	13	involving	involve	VERB
american_scientific_journal-5504	10	14	the	the	DET
american_scientific_journal-5504	10	15	pascal	pascal	ADJ
american_scientific_journal-5504	10	16	matrix	matrix	NOUN
american_scientific_journal-5504	10	17	and	and	CCONJ
american_scientific_journal-5504	10	18	the	the	DET
american_scientific_journal-5504	10	19	stirling	stirling	NOUN
american_scientific_journal-5504	10	20	matrix	matrix	NOUN
american_scientific_journal-5504	10	21	.	.	PUNCT
american_scientific_journal-5504	11	1	reference	reference	NOUN
american_scientific_journal-5504	12	1	[	[	X
american_scientific_journal-5504	12	2	11	11	NUM
american_scientific_journal-5504	12	3	]	]	PUNCT
american_scientific_journal-5504	12	4	also	also	ADV
american_scientific_journal-5504	12	5	define	define	VERB
american_scientific_journal-5504	12	6	the	the	DET
american_scientific_journal-5504	12	7	relationship	relationship	NOUN
american_scientific_journal-5504	12	8	of	of	ADP
american_scientific_journal-5504	12	9	the	the	DET
american_scientific_journal-5504	12	10	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	12	11	polynomial	polynomial	ADJ
american_scientific_journal-5504	12	12	matrix	matrix	NOUN
american_scientific_journal-5504	12	13	with	with	ADP
american_scientific_journal-5504	12	14	the	the	DET
american_scientific_journal-5504	12	15	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	12	16	matrix	matrix	NOUN
american_scientific_journal-5504	12	17	,	,	PUNCT
american_scientific_journal-5504	12	18	and	and	CCONJ
american_scientific_journal-5504	12	19	from	from	ADP
american_scientific_journal-5504	12	20	the	the	DET
american_scientific_journal-5504	12	21	relationship	relationship	NOUN
american_scientific_journal-5504	12	22	of	of	ADP
american_scientific_journal-5504	12	23	the	the	DET
american_scientific_journal-5504	12	24	two	two	NUM
american_scientific_journal-5504	12	25	matrices	matrix	NOUN
american_scientific_journal-5504	12	26	matrix	matrix	NOUN
american_scientific_journal-5504	12	27	and	and	CCONJ
american_scientific_journal-5504	12	28	matrix	matrix	NOUN
american_scientific_journal-5504	12	29	are	be	AUX
american_scientific_journal-5504	12	30	obtained	obtain	VERB
american_scientific_journal-5504	12	31	,	,	PUNCT
american_scientific_journal-5504	12	32	so	so	CCONJ
american_scientific_journal-5504	12	33	the	the	DET
american_scientific_journal-5504	12	34	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	12	35	polynomial	polynomial	ADJ
american_scientific_journal-5504	12	36	matrix	matrix	NOUN
american_scientific_journal-5504	12	37	is	be	AUX
american_scientific_journal-5504	12	38	defined	define	VERB
american_scientific_journal-5504	12	39	as	as	ADP
american_scientific_journal-5504	12	40	and	and	CCONJ
american_scientific_journal-5504	12	41	.	.	PUNCT
american_scientific_journal-5504	13	1	the	the	DET
american_scientific_journal-5504	13	2	kfibonacci	kfibonacci	ADJ
american_scientific_journal-5504	13	3	number	number	NOUN
american_scientific_journal-5504	13	4	is	be	AUX
american_scientific_journal-5504	13	5	discovered	discover	VERB
american_scientific_journal-5504	13	6	by	by	ADP
american_scientific_journal-5504	13	7	[	[	X
american_scientific_journal-5504	13	8	3	3	NUM
american_scientific_journal-5504	13	9	]	]	PUNCT
american_scientific_journal-5504	13	10	.	.	PUNCT
american_scientific_journal-5504	14	1	the	the	DET
american_scientific_journal-5504	14	2	k	k	PROPN
american_scientific_journal-5504	14	3	-	-	PUNCT
american_scientific_journal-5504	14	4	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	14	5	number	number	NOUN
american_scientific_journal-5504	14	6	is	be	AUX
american_scientific_journal-5504	14	7	denoted	denote	VERB
american_scientific_journal-5504	14	8	by	by	ADP
american_scientific_journal-5504	14	9	for	for	ADP
american_scientific_journal-5504	14	10	each	each	DET
american_scientific_journal-5504	14	11	k	k	PROPN
american_scientific_journal-5504	14	12	and	and	CCONJ
american_scientific_journal-5504	14	13	n	n	PRON
american_scientific_journal-5504	14	14	elements	element	NOUN
american_scientific_journal-5504	14	15	of	of	ADP
american_scientific_journal-5504	14	16	the	the	DET
american_scientific_journal-5504	14	17	natural	natural	ADJ
american_scientific_journal-5504	14	18	number	number	NOUN
american_scientific_journal-5504	14	19	.	.	PUNCT
american_scientific_journal-5504	15	1	the	the	DET
american_scientific_journal-5504	15	2	k	k	PROPN
american_scientific_journal-5504	15	3	-	-	PUNCT
american_scientific_journal-5504	15	4	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	15	5	number	number	NOUN
american_scientific_journal-5504	15	6	can	can	AUX
american_scientific_journal-5504	15	7	be	be	AUX
american_scientific_journal-5504	15	8	formed	form	VERB
american_scientific_journal-5504	15	9	into	into	ADP
american_scientific_journal-5504	15	10	a	a	DET
american_scientific_journal-5504	15	11	k	k	ADJ
american_scientific_journal-5504	15	12	-	-	PUNCT
american_scientific_journal-5504	15	13	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	15	14	matrix	matrix	NOUN
american_scientific_journal-5504	15	15	and	and	CCONJ
american_scientific_journal-5504	15	16	denoted	denote	VERB
american_scientific_journal-5504	15	17	by	by	ADP
american_scientific_journal-5504	15	18	.	.	PUNCT
american_scientific_journal-5504	16	1	reference	reference	NOUN
american_scientific_journal-5504	16	2	[	[	X
american_scientific_journal-5504	16	3	4	4	X
american_scientific_journal-5504	16	4	]	]	PUNCT
american_scientific_journal-5504	16	5	discuss	discuss	VERB
american_scientific_journal-5504	16	6	the	the	DET
american_scientific_journal-5504	16	7	k	k	PROPN
american_scientific_journal-5504	16	8	-	-	PUNCT
american_scientific_journal-5504	16	9	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	16	10	modulo	modulo	PROPN
american_scientific_journal-5504	16	11	m	m	PROPN
american_scientific_journal-5504	16	12	,	,	PUNCT
american_scientific_journal-5504	16	13	reference	reference	NOUN
american_scientific_journal-5504	16	14	[	[	X
american_scientific_journal-5504	16	15	8	8	NUM
american_scientific_journal-5504	16	16	]	]	PUNCT
american_scientific_journal-5504	16	17	discuss	discuss	VERB
american_scientific_journal-5504	16	18	the	the	DET
american_scientific_journal-5504	16	19	relationship	relationship	NOUN
american_scientific_journal-5504	16	20	between	between	ADP
american_scientific_journal-5504	16	21	the	the	DET
american_scientific_journal-5504	16	22	k	k	PROPN
american_scientific_journal-5504	16	23	-	-	PUNCT
american_scientific_journal-5504	16	24	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	16	25	sequence	sequence	NOUN
american_scientific_journal-5504	16	26	and	and	CCONJ
american_scientific_journal-5504	16	27	the	the	DET
american_scientific_journal-5504	16	28	generalization	generalization	NOUN
american_scientific_journal-5504	16	29	of	of	ADP
american_scientific_journal-5504	16	30	the	the	DET
american_scientific_journal-5504	16	31	k	k	PROPN
american_scientific_journal-5504	16	32	-	-	PUNCT
american_scientific_journal-5504	16	33	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	16	34	sequence	sequence	NOUN
american_scientific_journal-5504	16	35	,	,	PUNCT
american_scientific_journal-5504	16	36	wahyuni	wahyuni	PROPN
american_scientific_journal-5504	16	37	and	and	CCONJ
american_scientific_journal-5504	16	38	his	his	PRON
american_scientific_journal-5504	16	39	colleagues	colleague	NOUN
american_scientific_journal-5504	17	1	[	[	X
american_scientific_journal-5504	17	2	9	9	NUM
american_scientific_journal-5504	17	3	]	]	PUNCT
american_scientific_journal-5504	17	4	discuss	discuss	VERB
american_scientific_journal-5504	17	5	the	the	DET
american_scientific_journal-5504	17	6	identity	identity	NOUN
american_scientific_journal-5504	17	7	associated	associate	VERB
american_scientific_journal-5504	17	8	with	with	ADP
american_scientific_journal-5504	17	9	the	the	DET
american_scientific_journal-5504	17	10	k	k	PROPN
american_scientific_journal-5504	17	11	-	-	PUNCT
american_scientific_journal-5504	17	12	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	17	13	sequence	sequence	NOUN
american_scientific_journal-5504	17	14	modulo	modulo	PROPN
american_scientific_journal-5504	17	15	ring	ring	NOUN
american_scientific_journal-5504	17	16	z6	z6	PROPN
american_scientific_journal-5504	17	17	and	and	CCONJ
american_scientific_journal-5504	17	18	rn	rn	PROPN
american_scientific_journal-5504	17	19	.	.	PROPN
american_scientific_journal-5504	17	20	reference	reference	NOUN
american_scientific_journal-5504	18	1	[	[	X
american_scientific_journal-5504	18	2	3	3	NUM
american_scientific_journal-5504	18	3	]	]	PUNCT
american_scientific_journal-5504	18	4	also	also	ADV
american_scientific_journal-5504	18	5	defines	define	VERB
american_scientific_journal-5504	18	6	the	the	DET
american_scientific_journal-5504	18	7	relationship	relationship	NOUN
american_scientific_journal-5504	18	8	of	of	ADP
american_scientific_journal-5504	18	9	the	the	DET
american_scientific_journal-5504	18	10	k	k	PROPN
american_scientific_journal-5504	18	11	-	-	PUNCT
american_scientific_journal-5504	18	12	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	18	13	matrix	matrix	NOUN
american_scientific_journal-5504	18	14	with	with	ADP
american_scientific_journal-5504	18	15	pascal	pascal	ADJ
american_scientific_journal-5504	18	16	matrix	matrix	NOUN
american_scientific_journal-5504	18	17	,	,	PUNCT
american_scientific_journal-5504	18	18	and	and	CCONJ
american_scientific_journal-5504	18	19	from	from	ADP
american_scientific_journal-5504	18	20	the	the	DET
american_scientific_journal-5504	18	21	relationship	relationship	NOUN
american_scientific_journal-5504	18	22	of	of	ADP
american_scientific_journal-5504	18	23	the	the	DET
american_scientific_journal-5504	18	24	two	two	NUM
american_scientific_journal-5504	18	25	matrices	matrix	NOUN
american_scientific_journal-5504	18	26	lnmatrix	lnmatrix	NOUN
american_scientific_journal-5504	18	27	and	and	CCONJ
american_scientific_journal-5504	18	28	rn	rn	PROPN
american_scientific_journal-5504	18	29	matrix	matrix	NOUN
american_scientific_journal-5504	18	30	are	be	AUX
american_scientific_journal-5504	18	31	obtained	obtain	VERB
american_scientific_journal-5504	18	32	,	,	PUNCT
american_scientific_journal-5504	18	33	so	so	SCONJ
american_scientific_journal-5504	18	34	the	the	DET
american_scientific_journal-5504	18	35	pascal	pascal	ADJ
american_scientific_journal-5504	18	36	matrix	matrix	NOUN
american_scientific_journal-5504	18	37	is	be	AUX
american_scientific_journal-5504	18	38	defined	define	VERB
american_scientific_journal-5504	18	39	as	as	ADP
american_scientific_journal-5504	18	40	and	and	CCONJ
american_scientific_journal-5504	18	41	for	for	ADP
american_scientific_journal-5504	18	42	each	each	DET
american_scientific_journal-5504	18	43	element	element	NOUN
american_scientific_journal-5504	18	44	n	n	PROPN
american_scientific_journal-5504	18	45	and	and	CCONJ
american_scientific_journal-5504	18	46	k	k	PROPN
american_scientific_journal-5504	18	47	natural	natural	ADJ
american_scientific_journal-5504	18	48	numbers	number	NOUN
american_scientific_journal-5504	18	49	.	.	PUNCT
american_scientific_journal-5504	19	1	this	this	DET
american_scientific_journal-5504	19	2	article	article	NOUN
american_scientific_journal-5504	19	3	discusses	discuss	VERB
american_scientific_journal-5504	19	4	the	the	DET
american_scientific_journal-5504	19	5	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	19	6	polynomial	polynomial	ADJ
american_scientific_journal-5504	19	7	matrix	matrix	NOUN
american_scientific_journal-5504	19	8	involving	involve	VERB
american_scientific_journal-5504	19	9	the	the	DET
american_scientific_journal-5504	19	10	k	k	PROPN
american_scientific_journal-5504	19	11	-	-	PUNCT
american_scientific_journal-5504	19	12	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	19	13	matrix	matrix	NOUN
american_scientific_journal-5504	19	14	and	and	CCONJ
american_scientific_journal-5504	19	15	the	the	DET
american_scientific_journal-5504	19	16	inverse	inverse	ADJ
american_scientific_journal-5504	19	17	k	k	PROPN
american_scientific_journal-5504	19	18	-	-	PUNCT
american_scientific_journal-5504	19	19	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	19	20	matrix	matrix	NOUN
american_scientific_journal-5504	19	21	which	which	PRON
american_scientific_journal-5504	19	22	aims	aim	VERB
american_scientific_journal-5504	19	23	to	to	PART
american_scientific_journal-5504	19	24	find	find	VERB
american_scientific_journal-5504	19	25	two	two	NUM
american_scientific_journal-5504	19	26	matrix	matrix	NOUN
american_scientific_journal-5504	19	27	forms	form	NOUN
american_scientific_journal-5504	19	28	.	.	PUNCT
american_scientific_journal-5504	20	1	furthermore	furthermore	ADV
american_scientific_journal-5504	20	2	,	,	PUNCT
american_scientific_journal-5504	20	3	by	by	ADP
american_scientific_journal-5504	20	4	studying	study	VERB
american_scientific_journal-5504	20	5	the	the	DET
american_scientific_journal-5504	20	6	relationship	relationship	NOUN
american_scientific_journal-5504	20	7	of	of	ADP
american_scientific_journal-5504	20	8	the	the	DET
american_scientific_journal-5504	20	9	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	20	10	polynomial	polynomial	ADJ
american_scientific_journal-5504	20	11	matrix	matrix	NOUN
american_scientific_journal-5504	20	12	and	and	CCONJ
american_scientific_journal-5504	20	13	the	the	DET
american_scientific_journal-5504	20	14	k	k	PROPN
american_scientific_journal-5504	20	15	-	-	PUNCT
american_scientific_journal-5504	20	16	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	20	17	matrix	matrix	NOUN
american_scientific_journal-5504	20	18	,	,	PUNCT
american_scientific_journal-5504	20	19	the	the	DET
american_scientific_journal-5504	20	20	second	second	ADJ
american_scientific_journal-5504	20	21	part	part	NOUN
american_scientific_journal-5504	20	22	discusses	discuss	VERB
american_scientific_journal-5504	20	23	the	the	DET
american_scientific_journal-5504	20	24	supporting	support	VERB
american_scientific_journal-5504	20	25	theory	theory	NOUN
american_scientific_journal-5504	20	26	of	of	ADP
american_scientific_journal-5504	20	27	the	the	DET
american_scientific_journal-5504	20	28	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	20	29	polynomial	polynomial	ADJ
american_scientific_journal-5504	20	30	matrix	matrix	NOUN
american_scientific_journal-5504	20	31	and	and	CCONJ
american_scientific_journal-5504	20	32	the	the	DET
american_scientific_journal-5504	20	33	k	k	PROPN
american_scientific_journal-5504	20	34	-	-	PUNCT
american_scientific_journal-5504	20	35	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	20	36	matrix	matrix	NOUN
american_scientific_journal-5504	20	37	,	,	PUNCT
american_scientific_journal-5504	20	38	in	in	ADP
american_scientific_journal-5504	20	39	the	the	DET
american_scientific_journal-5504	20	40	third	third	ADJ
american_scientific_journal-5504	20	41	part	part	NOUN
american_scientific_journal-5504	20	42	the	the	DET
american_scientific_journal-5504	20	43	results	result	NOUN
american_scientific_journal-5504	20	44	of	of	ADP
american_scientific_journal-5504	20	45	the	the	DET
american_scientific_journal-5504	20	46	relationship	relationship	NOUN
american_scientific_journal-5504	20	47	between	between	ADP
american_scientific_journal-5504	20	48	the	the	DET
american_scientific_journal-5504	20	49	two	two	NUM
american_scientific_journal-5504	20	50	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	20	51	polynomial	polynomial	ADJ
american_scientific_journal-5504	20	52	matrices	matrix	NOUN
american_scientific_journal-5504	20	53	and	and	CCONJ
american_scientific_journal-5504	20	54	the	the	DET
american_scientific_journal-5504	20	55	k	k	PROPN
american_scientific_journal-5504	20	56	-	-	PUNCT
american_scientific_journal-5504	20	57	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	20	58	matrix	matrix	NOUN
american_scientific_journal-5504	20	59	,	,	PUNCT
american_scientific_journal-5504	20	60	and	and	CCONJ
american_scientific_journal-5504	20	61	in	in	ADP
american_scientific_journal-5504	20	62	the	the	DET
american_scientific_journal-5504	20	63	fourth	fourth	ADJ
american_scientific_journal-5504	20	64	section	section	NOUN
american_scientific_journal-5504	20	65	presents	present	VERB
american_scientific_journal-5504	20	66	the	the	DET
american_scientific_journal-5504	20	67	conclusion	conclusion	NOUN
american_scientific_journal-5504	20	68	of	of	ADP
american_scientific_journal-5504	20	69	this	this	DET
american_scientific_journal-5504	20	70	research	research	NOUN
american_scientific_journal-5504	20	71	.	.	PUNCT
american_scientific_journal-5504	21	1	2	2	X
american_scientific_journal-5504	21	2	.	.	X
american_scientific_journal-5504	21	3	bell	bell	PROPN
american_scientific_journal-5504	21	4	’s	’s	PART
american_scientific_journal-5504	21	5	polynomial	polynomial	ADJ
american_scientific_journal-5504	21	6	matrix	matrix	NOUN
american_scientific_journal-5504	21	7	and	and	CCONJ
american_scientific_journal-5504	21	8	k	k	ADJ
american_scientific_journal-5504	21	9	-	-	PUNCT
american_scientific_journal-5504	21	10	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	21	11	matrix	matrix	NOUN
american_scientific_journal-5504	21	12	bell	bell	NOUN
american_scientific_journal-5504	21	13	polynomial	polynomial	ADJ
american_scientific_journal-5504	21	14	numbers	number	NOUN
american_scientific_journal-5504	21	15	are	be	AUX
american_scientific_journal-5504	21	16	defined	define	VERB
american_scientific_journal-5504	21	17	by	by	ADP
american_scientific_journal-5504	21	18	comtet	comtet	NOUN
american_scientific_journal-5504	21	19	[	[	X
american_scientific_journal-5504	21	20	2	2	NUM
american_scientific_journal-5504	21	21	,	,	PUNCT
american_scientific_journal-5504	21	22	p.	p.	NOUN
american_scientific_journal-5504	21	23	133	133	NUM
american_scientific_journal-5504	21	24	]	]	PUNCT
american_scientific_journal-5504	21	25	in	in	ADP
american_scientific_journal-5504	21	26	definition	definition	NOUN
american_scientific_journal-5504	21	27	1	1	NUM
american_scientific_journal-5504	21	28	.	.	PUNCT
american_scientific_journal-5504	22	1	definition	definition	NOUN
american_scientific_journal-5504	22	2	1	1	NUM
american_scientific_journal-5504	22	3	the	the	DET
american_scientific_journal-5504	22	4	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	22	5	polynomialare	polynomialare	VERB
american_scientific_journal-5504	22	6	the	the	DET
american_scientific_journal-5504	22	7	polynomialsbn	polynomialsbn	NOUN
american_scientific_journal-5504	22	8	,	,	PUNCT
american_scientific_journal-5504	22	9	k	k	PROPN
american_scientific_journal-5504	22	10	=	=	SYM
american_scientific_journal-5504	22	11	bn	bn	PROPN
american_scientific_journal-5504	22	12	,	,	PUNCT
american_scientific_journal-5504	22	13	k(x1	k(x1	NOUN
american_scientific_journal-5504	22	14	,	,	PUNCT
american_scientific_journal-5504	22	15	x2	x2	PROPN
american_scientific_journal-5504	22	16	,	,	PUNCT
american_scientific_journal-5504	22	17	...	...	PUNCT
american_scientific_journal-5504	22	18	,	,	PUNCT
american_scientific_journal-5504	22	19	xn	xn	PROPN
american_scientific_journal-5504	22	20	-	-	PUNCT
american_scientific_journal-5504	22	21	k+1	k+1	NOUN
american_scientific_journal-5504	22	22	)	)	PUNCT
american_scientific_journal-5504	22	23	in	in	ADP
american_scientific_journal-5504	22	24	infinite	infinite	ADJ
american_scientific_journal-5504	22	25	numbers	number	NOUN
american_scientific_journal-5504	22	26	of	of	ADP
american_scientific_journal-5504	22	27	variablesx1	variablesx1	NOUN
american_scientific_journal-5504	22	28	,	,	PUNCT
american_scientific_journal-5504	22	29	x2	x2	PROPN
american_scientific_journal-5504	22	30	,	,	PUNCT
american_scientific_journal-5504	22	31	...	...	PUNCT
american_scientific_journal-5504	22	32	,	,	PUNCT
american_scientific_journal-5504	22	33	defined	define	VERB
american_scientific_journal-5504	22	34	by	by	ADP
american_scientific_journal-5504	22	35	formal	formal	ADJ
american_scientific_journal-5504	22	36	double	double	ADJ
american_scientific_journal-5504	22	37	series	series	NOUN
american_scientific_journal-5504	22	38	expansion	expansion	NOUN
american_scientific_journal-5504	22	39	exp	exp	NOUN
american_scientific_journal-5504	22	40	(	(	PUNCT
american_scientific_journal-5504	22	41	∑	∑	PROPN
american_scientific_journal-5504	22	42	1	1	NUM
american_scientific_journal-5504	22	43	)	)	PUNCT
american_scientific_journal-5504	22	44	∑	∑	ADP
american_scientific_journal-5504	22	45	1	1	NUM
american_scientific_journal-5504	22	46	∑	∑	SYM
american_scientific_journal-5504	22	47	1	1	NUM
american_scientific_journal-5504	22	48	{	{	PUNCT
american_scientific_journal-5504	22	49	∑	∑	PROPN
american_scientific_journal-5504	22	50	1	1	NUM
american_scientific_journal-5504	22	51	1	1	NUM
american_scientific_journal-5504	22	52	}	}	PUNCT
american_scientific_journal-5504	22	53	or	or	CCONJ
american_scientific_journal-5504	22	54	,	,	PUNCT
american_scientific_journal-5504	22	55	the	the	DET
american_scientific_journal-5504	22	56	amount	amount	NOUN
american_scientific_journal-5504	22	57	is	be	AUX
american_scientific_journal-5504	22	58	the	the	DET
american_scientific_journal-5504	22	59	same	same	ADJ
american_scientific_journal-5504	22	60	as	as	ADP
american_scientific_journal-5504	22	61	the	the	DET
american_scientific_journal-5504	22	62	series	series	NOUN
american_scientific_journal-5504	22	63	expansion	expansion	NOUN
american_scientific_journal-5504	22	64	1	1	NUM
american_scientific_journal-5504	22	65	(	(	PUNCT
american_scientific_journal-5504	22	66	∑	∑	NOUN
american_scientific_journal-5504	22	67	1	1	NUM
american_scientific_journal-5504	22	68	)	)	PUNCT
american_scientific_journal-5504	22	69	∑	∑	PROPN
american_scientific_journal-5504	22	70	1	1	NUM
american_scientific_journal-5504	22	71	based	base	VERB
american_scientific_journal-5504	22	72	on	on	ADP
american_scientific_journal-5504	22	73	the	the	DET
american_scientific_journal-5504	22	74	definition	definition	NOUN
american_scientific_journal-5504	22	75	of	of	ADP
american_scientific_journal-5504	22	76	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	22	77	polynomial	polynomial	ADJ
american_scientific_journal-5504	22	78	number	number	NOUN
american_scientific_journal-5504	22	79	comtet	comtet	NOUN
american_scientific_journal-5504	22	80	[	[	PUNCT
american_scientific_journal-5504	22	81	p	p	NOUN
american_scientific_journal-5504	22	82	134	134	NUM
american_scientific_journal-5504	22	83	]	]	PUNCT
american_scientific_journal-5504	22	84	gives	gives	AUX
american_scientific_journal-5504	22	85	theorem	theorem	VERB
american_scientific_journal-5504	22	86	for	for	ADP
american_scientific_journal-5504	22	87	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	22	88	polynomial	polynomial	ADJ
american_scientific_journal-5504	22	89	american	american	ADJ
american_scientific_journal-5504	22	90	scientific	scientific	ADJ
american_scientific_journal-5504	22	91	research	research	NOUN
american_scientific_journal-5504	22	92	journal	journal	NOUN
american_scientific_journal-5504	22	93	for	for	ADP
american_scientific_journal-5504	22	94	engineering	engineering	NOUN
american_scientific_journal-5504	22	95	,	,	PUNCT
american_scientific_journal-5504	22	96	technology	technology	NOUN
american_scientific_journal-5504	22	97	,	,	PUNCT
american_scientific_journal-5504	22	98	and	and	CCONJ
american_scientific_journal-5504	22	99	sciences	science	NOUN
american_scientific_journal-5504	22	100	(	(	PUNCT
american_scientific_journal-5504	22	101	asrjets	asrjet	NOUN
american_scientific_journal-5504	22	102	)	)	PUNCT
american_scientific_journal-5504	22	103	(	(	PUNCT
american_scientific_journal-5504	22	104	2020	2020	NUM
american_scientific_journal-5504	22	105	)	)	PUNCT
american_scientific_journal-5504	22	106	volume	volume	NOUN
american_scientific_journal-5504	22	107	65	65	NUM
american_scientific_journal-5504	22	108	,	,	PUNCT
american_scientific_journal-5504	22	109	no	no	DET
american_scientific_journal-5504	22	110	1	1	NUM
american_scientific_journal-5504	22	111	,	,	PUNCT
american_scientific_journal-5504	22	112	pp	pp	ADV
american_scientific_journal-5504	22	113	29	29	NUM
american_scientific_journal-5504	22	114	-	-	SYM
american_scientific_journal-5504	22	115	38	38	NUM
american_scientific_journal-5504	22	116	31	31	NUM
american_scientific_journal-5504	22	117	number	number	NOUN
american_scientific_journal-5504	22	118	.	.	PUNCT
american_scientific_journal-5504	23	1	theorem	theorem	VERB
american_scientific_journal-5504	23	2	2	2	NUM
american_scientific_journal-5504	23	3	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	23	4	polynomial	polynomial	ADJ
american_scientific_journal-5504	23	5	numbers	number	NOUN
american_scientific_journal-5504	23	6	have	have	VERB
american_scientific_journal-5504	23	7	integer	integer	NOUN
american_scientific_journal-5504	23	8	coefficients	coefficient	NOUN
american_scientific_journal-5504	23	9	,	,	PUNCT
american_scientific_journal-5504	23	10	where	where	SCONJ
american_scientific_journal-5504	23	11	the	the	DET
american_scientific_journal-5504	23	12	number	number	NOUN
american_scientific_journal-5504	23	13	equalsk	equalsk	NOUN
american_scientific_journal-5504	23	14	and	and	CCONJ
american_scientific_journal-5504	23	15	the	the	DET
american_scientific_journal-5504	23	16	weight	weight	NOUN
american_scientific_journal-5504	23	17	equalsn	equalsn	NOUN
american_scientific_journal-5504	23	18	expressed	express	VERB
american_scientific_journal-5504	23	19	by	by	ADP
american_scientific_journal-5504	23	20	(	(	PUNCT
american_scientific_journal-5504	23	21	1	1	NUM
american_scientific_journal-5504	23	22	1	1	NUM
american_scientific_journal-5504	23	23	)	)	PUNCT
american_scientific_journal-5504	23	24	∑	∑	PROPN
american_scientific_journal-5504	23	25	c1	c1	PROPN
american_scientific_journal-5504	23	26	c	c	PROPN
american_scientific_journal-5504	23	27	c	c	PROPN
american_scientific_journal-5504	23	28	1	1	NUM
american_scientific_journal-5504	23	29	(	(	PUNCT
american_scientific_journal-5504	23	30	1	1	NUM
american_scientific_journal-5504	23	31	1	1	X
american_scientific_journal-5504	23	32	)	)	PUNCT
american_scientific_journal-5504	23	33	c1	c1	NOUN
american_scientific_journal-5504	23	34	(	(	PUNCT
american_scientific_journal-5504	23	35	)	)	PUNCT
american_scientific_journal-5504	23	36	c	c	NOUN
american_scientific_journal-5504	23	37	(	(	PUNCT
american_scientific_journal-5504	23	38	1	1	NUM
american_scientific_journal-5504	23	39	1	1	NUM
american_scientific_journal-5504	23	40	)	)	PUNCT
american_scientific_journal-5504	23	41	c	c	NOUN
american_scientific_journal-5504	23	42	1	1	NUM
american_scientific_journal-5504	23	43	1	1	NUM
american_scientific_journal-5504	23	44	the	the	DET
american_scientific_journal-5504	23	45	sum	sum	NOUN
american_scientific_journal-5504	23	46	is	be	AUX
american_scientific_journal-5504	23	47	taken	take	VERB
american_scientific_journal-5504	23	48	over	over	ADP
american_scientific_journal-5504	24	1	all	all	DET
american_scientific_journal-5504	24	2	rows	row	NOUN
american_scientific_journal-5504	24	3	c1	c1	PROPN
american_scientific_journal-5504	24	4	c	c	PROPN
american_scientific_journal-5504	25	1	c	c	PROPN
american_scientific_journal-5504	25	2	+1	+1	PROPN
american_scientific_journal-5504	25	3	for	for	ADP
american_scientific_journal-5504	25	4	nonnegative	nonnegative	ADJ
american_scientific_journal-5504	25	5	integers	integer	NOUN
american_scientific_journal-5504	25	6	such	such	ADJ
american_scientific_journal-5504	25	7	that	that	SCONJ
american_scientific_journal-5504	25	8	up	up	ADP
american_scientific_journal-5504	25	9	to	to	PART
american_scientific_journal-5504	25	10	two	two	NUM
american_scientific_journal-5504	25	11	conditions	condition	NOUN
american_scientific_journal-5504	25	12	the	the	DET
american_scientific_journal-5504	25	13	following	following	NOUN
american_scientific_journal-5504	25	14	are	be	AUX
american_scientific_journal-5504	25	15	met	meet	VERB
american_scientific_journal-5504	25	16	:	:	PUNCT
american_scientific_journal-5504	25	17	(	(	PUNCT
american_scientific_journal-5504	25	18	i	i	NOUN
american_scientific_journal-5504	25	19	)	)	PUNCT
american_scientific_journal-5504	25	20	c1	c1	PROPN
american_scientific_journal-5504	25	21	+	+	CCONJ
american_scientific_journal-5504	26	1	c	c	PROPN
american_scientific_journal-5504	27	1	+	+	PUNCT
american_scientific_journal-5504	27	2	⋯	⋯	NOUN
american_scientific_journal-5504	27	3	+	+	CCONJ
american_scientific_journal-5504	27	4	c	c	PROPN
american_scientific_journal-5504	27	5	+1	+1	PROPN
american_scientific_journal-5504	27	6	(	(	PUNCT
american_scientific_journal-5504	27	7	ii	ii	NOUN
american_scientific_journal-5504	27	8	)	)	PUNCT
american_scientific_journal-5504	27	9	c1	c1	NOUN
american_scientific_journal-5504	27	10	+	+	CCONJ
american_scientific_journal-5504	27	11	c	c	PROPN
american_scientific_journal-5504	28	1	+	+	CCONJ
american_scientific_journal-5504	28	2	3c3	3c3	NUM
american_scientific_journal-5504	29	1	+	+	CCONJ
american_scientific_journal-5504	29	2	⋯	⋯	VERB
american_scientific_journal-5504	29	3	+	+	CCONJ
american_scientific_journal-5504	29	4	−	−	PROPN
american_scientific_journal-5504	30	1	+	+	CCONJ
american_scientific_journal-5504	30	2	1	1	NUM
american_scientific_journal-5504	30	3	c	c	NOUN
american_scientific_journal-5504	31	1	+1	+1	PRON
american_scientific_journal-5504	31	2	then	then	ADV
american_scientific_journal-5504	31	3	the	the	DET
american_scientific_journal-5504	31	4	bell‟s	bell‟s	ADJ
american_scientific_journal-5504	31	5	polynomial	polynomial	ADJ
american_scientific_journal-5504	31	6	numbers	number	NOUN
american_scientific_journal-5504	31	7	to	to	ADP
american_scientific_journal-5504	31	8	n	n	PROPN
american_scientific_journal-5504	31	9	is	be	AUX
american_scientific_journal-5504	31	10	the	the	DET
american_scientific_journal-5504	31	11	number	number	NOUN
american_scientific_journal-5504	31	12	(	(	PUNCT
american_scientific_journal-5504	31	13	1	1	NUM
american_scientific_journal-5504	31	14	+1	+1	NOUN
american_scientific_journal-5504	31	15	)	)	PUNCT
american_scientific_journal-5504	31	16	.	.	PUNCT
american_scientific_journal-5504	32	1	proof.proof	proof.proof	NUM
american_scientific_journal-5504	32	2	of	of	ADP
american_scientific_journal-5504	32	3	this	this	DET
american_scientific_journal-5504	32	4	theorem	theorem	NOUN
american_scientific_journal-5504	32	5	can	can	AUX
american_scientific_journal-5504	32	6	be	be	AUX
american_scientific_journal-5504	32	7	seen	see	VERB
american_scientific_journal-5504	32	8	in	in	ADP
american_scientific_journal-5504	32	9	comtet	comtet	NOUN
american_scientific_journal-5504	32	10	[	[	X
american_scientific_journal-5504	32	11	2	2	NUM
american_scientific_journal-5504	32	12	,	,	PUNCT
american_scientific_journal-5504	32	13	p.	p.	NOUN
american_scientific_journal-5504	32	14	134	134	NUM
american_scientific_journal-5504	32	15	]	]	PUNCT
american_scientific_journal-5504	32	16	.	.	PUNCT
american_scientific_journal-5504	33	1	the	the	DET
american_scientific_journal-5504	33	2	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	33	3	polynomial	polynomial	ADJ
american_scientific_journal-5504	33	4	matrix	matrix	NOUN
american_scientific_journal-5504	33	5	is	be	AUX
american_scientific_journal-5504	33	6	a	a	DET
american_scientific_journal-5504	33	7	lower	low	ADJ
american_scientific_journal-5504	33	8	triangular	triangular	NOUN
american_scientific_journal-5504	33	9	matrix	matrix	NOUN
american_scientific_journal-5504	33	10	where	where	SCONJ
american_scientific_journal-5504	33	11	each	each	DET
american_scientific_journal-5504	33	12	entry	entry	NOUN
american_scientific_journal-5504	33	13	is	be	AUX
american_scientific_journal-5504	33	14	a	a	DET
american_scientific_journal-5504	33	15	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	33	16	polynomial	polynomial	ADJ
american_scientific_journal-5504	33	17	number	number	NOUN
american_scientific_journal-5504	33	18	.	.	PUNCT
american_scientific_journal-5504	34	1	wang	wang	PROPN
american_scientific_journal-5504	34	2	and	and	CCONJ
american_scientific_journal-5504	34	3	wang	wang	PROPN
american_scientific_journal-5504	35	1	[	[	X
american_scientific_journal-5504	35	2	11	11	NUM
american_scientific_journal-5504	35	3	]	]	PUNCT
american_scientific_journal-5504	35	4	provide	provide	VERB
american_scientific_journal-5504	35	5	the	the	DET
american_scientific_journal-5504	35	6	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	35	7	polynomial	polynomial	ADJ
american_scientific_journal-5504	35	8	matrix	matrix	NOUN
american_scientific_journal-5504	35	9	in	in	ADP
american_scientific_journal-5504	35	10	definition	definition	NOUN
american_scientific_journal-5504	35	11	3	3	NUM
american_scientific_journal-5504	35	12	definition	definition	NOUN
american_scientific_journal-5504	35	13	3	3	NUM
american_scientific_journal-5504	35	14	for	for	ADP
american_scientific_journal-5504	35	15	each	each	DET
american_scientific_journal-5504	35	16	natural	natural	ADJ
american_scientific_journal-5504	35	17	number	number	NOUN
american_scientific_journal-5504	35	18	n	n	CCONJ
american_scientific_journal-5504	35	19	the	the	DET
american_scientific_journal-5504	35	20	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	35	21	polynomial	polynomial	ADJ
american_scientific_journal-5504	35	22	matrix	matrix	NOUN
american_scientific_journal-5504	35	23	n	n	NOUN
american_scientific_journal-5504	35	24	x	x	SYM
american_scientific_journal-5504	35	25	n	n	NOUN
american_scientific_journal-5504	35	26	with	with	ADP
american_scientific_journal-5504	35	27	each	each	DET
american_scientific_journal-5504	35	28	entry	entry	NOUN
american_scientific_journal-5504	35	29	being	be	AUX
american_scientific_journal-5504	35	30	the	the	DET
american_scientific_journal-5504	35	31	bell‟s	bell‟s	ADJ
american_scientific_journal-5504	35	32	polynomial	polynomial	ADJ
american_scientific_journal-5504	35	33	numbers	number	NOUN
american_scientific_journal-5504	35	34	is	be	AUX
american_scientific_journal-5504	35	35	expressed	express	VERB
american_scientific_journal-5504	35	36	as	as	ADP
american_scientific_journal-5504	35	37	[	[	PUNCT
american_scientific_journal-5504	35	38	]	]	X
american_scientific_journal-5504	35	39	for	for	ADP
american_scientific_journal-5504	35	40	each	each	DET
american_scientific_journal-5504	35	41	1	1	NUM
american_scientific_journal-5504	35	42	3	3	NUM
american_scientific_journal-5504	35	43	.	.	PUNCT
american_scientific_journal-5504	36	1	(	(	PUNCT
american_scientific_journal-5504	36	2	2	2	X
american_scientific_journal-5504	36	3	)	)	PUNCT
american_scientific_journal-5504	36	4	based	base	VERB
american_scientific_journal-5504	36	5	on	on	ADP
american_scientific_journal-5504	36	6	the	the	DET
american_scientific_journal-5504	36	7	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	36	8	polynomial	polynomial	ADJ
american_scientific_journal-5504	36	9	matrix	matrix	NOUN
american_scientific_journal-5504	36	10	definition	definition	NOUN
american_scientific_journal-5504	36	11	the	the	DET
american_scientific_journal-5504	36	12	general	general	ADJ
american_scientific_journal-5504	36	13	form	form	NOUN
american_scientific_journal-5504	36	14	of	of	ADP
american_scientific_journal-5504	36	15	the	the	DET
american_scientific_journal-5504	36	16	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	36	17	polynomial	polynomial	ADJ
american_scientific_journal-5504	36	18	matrix	matrix	NOUN
american_scientific_journal-5504	36	19	is	be	AUX
american_scientific_journal-5504	36	20	stated	state	VERB
american_scientific_journal-5504	36	21	as	as	SCONJ
american_scientific_journal-5504	36	22	follows	follow	VERB
american_scientific_journal-5504	36	23	:	:	PUNCT
american_scientific_journal-5504	36	24	[	[	PUNCT
american_scientific_journal-5504	36	25	1	1	NUM
american_scientific_journal-5504	36	26	1	1	NUM
american_scientific_journal-5504	36	27	1	1	NUM
american_scientific_journal-5504	36	28	1	1	NUM
american_scientific_journal-5504	36	29	3	3	NUM
american_scientific_journal-5504	36	30	⋯	⋯	ADP
american_scientific_journal-5504	36	31	1	1	NUM
american_scientific_journal-5504	36	32	1	1	NUM
american_scientific_journal-5504	36	33	3	3	NUM
american_scientific_journal-5504	36	34	⋯	⋯	ADP
american_scientific_journal-5504	36	35	3	3	NUM
american_scientific_journal-5504	36	36	1	1	NUM
american_scientific_journal-5504	36	37	3	3	NUM
american_scientific_journal-5504	36	38	3	3	NUM
american_scientific_journal-5504	36	39	3	3	NUM
american_scientific_journal-5504	36	40	⋯	⋯	ADP
american_scientific_journal-5504	36	41	3	3	NUM
american_scientific_journal-5504	36	42	1	1	NUM
american_scientific_journal-5504	36	43	3	3	NUM
american_scientific_journal-5504	36	44	⋯	⋯	ADP
american_scientific_journal-5504	36	45	]	]	PUNCT
american_scientific_journal-5504	36	46	the	the	DET
american_scientific_journal-5504	36	47	next	next	ADJ
american_scientific_journal-5504	36	48	discussion	discussion	NOUN
american_scientific_journal-5504	36	49	is	be	AUX
american_scientific_journal-5504	36	50	the	the	DET
american_scientific_journal-5504	36	51	k	k	PROPN
american_scientific_journal-5504	36	52	-	-	PUNCT
american_scientific_journal-5504	36	53	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	36	54	number	number	NOUN
american_scientific_journal-5504	36	55	.	.	PUNCT
american_scientific_journal-5504	37	1	the	the	DET
american_scientific_journal-5504	37	2	k	k	PROPN
american_scientific_journal-5504	37	3	-	-	PUNCT
american_scientific_journal-5504	37	4	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	37	5	number	number	NOUN
american_scientific_journal-5504	37	6	is	be	AUX
american_scientific_journal-5504	37	7	defined	define	VERB
american_scientific_journal-5504	37	8	by	by	ADP
american_scientific_journal-5504	37	9	falcon	falcon	NOUN
american_scientific_journal-5504	38	1	[	[	X
american_scientific_journal-5504	38	2	4	4	X
american_scientific_journal-5504	38	3	]	]	PUNCT
american_scientific_journal-5504	38	4	in	in	ADP
american_scientific_journal-5504	38	5	definition	definition	NOUN
american_scientific_journal-5504	38	6	4	4	NUM
american_scientific_journal-5504	38	7	.	.	PUNCT
american_scientific_journal-5504	38	8	definition	definition	NOUN
american_scientific_journal-5504	38	9	4for	4for	PROPN
american_scientific_journal-5504	38	10	each	each	DET
american_scientific_journal-5504	38	11	natural	natural	ADJ
american_scientific_journal-5504	38	12	number	number	NOUN
american_scientific_journal-5504	38	13	n	n	NOUN
american_scientific_journal-5504	38	14	and	and	CCONJ
american_scientific_journal-5504	38	15	k	k	NOUN
american_scientific_journal-5504	38	16	,	,	PUNCT
american_scientific_journal-5504	38	17	the	the	DET
american_scientific_journal-5504	38	18	k	k	PROPN
american_scientific_journal-5504	38	19	-	-	PUNCT
american_scientific_journal-5504	38	20	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	38	21	number	number	NOUN
american_scientific_journal-5504	38	22	is	be	AUX
american_scientific_journal-5504	38	23	defined	define	VERB
american_scientific_journal-5504	38	24	as	as	ADP
american_scientific_journal-5504	38	25	+1	+1	PROPN
american_scientific_journal-5504	38	26	+	+	CCONJ
american_scientific_journal-5504	38	27	1	1	NUM
american_scientific_journal-5504	38	28	for	for	ADP
american_scientific_journal-5504	38	29	1	1	NUM
american_scientific_journal-5504	38	30	(	(	PUNCT
american_scientific_journal-5504	38	31	3)with	3)with	NUM
american_scientific_journal-5504	38	32	initial	initial	ADJ
american_scientific_journal-5504	38	33	conditions	condition	NOUN
american_scientific_journal-5504	38	34	and	and	CCONJ
american_scientific_journal-5504	38	35	1	1	NUM
american_scientific_journal-5504	38	36	.	.	PUNCT
american_scientific_journal-5504	39	1	american	american	PROPN
american_scientific_journal-5504	39	2	scientific	scientific	ADJ
american_scientific_journal-5504	39	3	research	research	PROPN
american_scientific_journal-5504	39	4	journal	journal	NOUN
american_scientific_journal-5504	39	5	for	for	ADP
american_scientific_journal-5504	39	6	engineering	engineering	NOUN
american_scientific_journal-5504	39	7	,	,	PUNCT
american_scientific_journal-5504	39	8	technology	technology	NOUN
american_scientific_journal-5504	39	9	,	,	PUNCT
american_scientific_journal-5504	39	10	and	and	CCONJ
american_scientific_journal-5504	39	11	sciences	science	NOUN
american_scientific_journal-5504	39	12	(	(	PUNCT
american_scientific_journal-5504	39	13	asrjets	asrjet	NOUN
american_scientific_journal-5504	39	14	)	)	PUNCT
american_scientific_journal-5504	39	15	(	(	PUNCT
american_scientific_journal-5504	39	16	2020	2020	NUM
american_scientific_journal-5504	39	17	)	)	PUNCT
american_scientific_journal-5504	39	18	volume	volume	NOUN
american_scientific_journal-5504	39	19	65	65	NUM
american_scientific_journal-5504	39	20	,	,	PUNCT
american_scientific_journal-5504	39	21	no	no	DET
american_scientific_journal-5504	39	22	1	1	NUM
american_scientific_journal-5504	39	23	,	,	PUNCT
american_scientific_journal-5504	39	24	pp	pp	ADV
american_scientific_journal-5504	39	25	29	29	NUM
american_scientific_journal-5504	39	26	-	-	SYM
american_scientific_journal-5504	39	27	38	38	NUM
american_scientific_journal-5504	39	28	32	32	NUM
american_scientific_journal-5504	39	29	furthermore	furthermore	ADV
american_scientific_journal-5504	39	30	,	,	PUNCT
american_scientific_journal-5504	39	31	like	like	ADP
american_scientific_journal-5504	39	32	the	the	DET
american_scientific_journal-5504	39	33	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	39	34	polynomial	polynomial	ADJ
american_scientific_journal-5504	39	35	matrix	matrix	NOUN
american_scientific_journal-5504	39	36	the	the	DET
american_scientific_journal-5504	39	37	k	k	ADJ
american_scientific_journal-5504	39	38	-	-	PUNCT
american_scientific_journal-5504	39	39	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	39	40	matrix	matrix	NOUN
american_scientific_journal-5504	39	41	is	be	AUX
american_scientific_journal-5504	39	42	also	also	ADV
american_scientific_journal-5504	39	43	a	a	DET
american_scientific_journal-5504	39	44	lower	low	ADJ
american_scientific_journal-5504	39	45	triangular	triangular	NOUN
american_scientific_journal-5504	39	46	matrix	matrix	NOUN
american_scientific_journal-5504	39	47	with	with	ADP
american_scientific_journal-5504	39	48	each	each	DET
american_scientific_journal-5504	39	49	entry	entry	NOUN
american_scientific_journal-5504	39	50	a	a	DET
american_scientific_journal-5504	39	51	k	k	ADJ
american_scientific_journal-5504	39	52	-	-	PUNCT
american_scientific_journal-5504	39	53	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	39	54	number	number	NOUN
american_scientific_journal-5504	39	55	.	.	PUNCT
american_scientific_journal-5504	40	1	reference	reference	NOUN
american_scientific_journal-5504	41	1	[	[	X
american_scientific_journal-5504	41	2	3	3	X
american_scientific_journal-5504	41	3	]	]	PUNCT
american_scientific_journal-5504	41	4	gives	give	VERB
american_scientific_journal-5504	41	5	the	the	DET
american_scientific_journal-5504	41	6	definition	definition	NOUN
american_scientific_journal-5504	41	7	of	of	ADP
american_scientific_journal-5504	41	8	the	the	DET
american_scientific_journal-5504	41	9	k	k	PROPN
american_scientific_journal-5504	41	10	-	-	PUNCT
american_scientific_journal-5504	41	11	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	41	12	matrix	matrix	NOUN
american_scientific_journal-5504	41	13	in	in	ADP
american_scientific_journal-5504	41	14	definition	definition	NOUN
american_scientific_journal-5504	41	15	5	5	NUM
american_scientific_journal-5504	41	16	.	.	PUNCT
american_scientific_journal-5504	42	1	definition	definition	NOUN
american_scientific_journal-5504	42	2	5for	5for	NUM
american_scientific_journal-5504	42	3	each	each	DET
american_scientific_journal-5504	42	4	naturalnumber	naturalnumber	PROPN
american_scientific_journal-5504	42	5	n	n	CCONJ
american_scientific_journal-5504	42	6	,	,	PUNCT
american_scientific_journal-5504	42	7	thek	thek	PROPN
american_scientific_journal-5504	42	8	-	-	PUNCT
american_scientific_journal-5504	42	9	fibonaccimatrix	fibonaccimatrix	NOUN
american_scientific_journal-5504	42	10	nxn	nxn	PROPN
american_scientific_journal-5504	42	11	whose	whose	DET
american_scientific_journal-5504	42	12	entry	entry	NOUN
american_scientific_journal-5504	42	13	is	be	AUX
american_scientific_journal-5504	42	14	k	k	ADJ
american_scientific_journal-5504	42	15	-	-	PUNCT
american_scientific_journal-5504	42	16	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	42	17	numbers	number	NOUN
american_scientific_journal-5504	42	18	expressed	express	VERB
american_scientific_journal-5504	42	19	by	by	ADP
american_scientific_journal-5504	42	20	[	[	PUNCT
american_scientific_journal-5504	42	21	]	]	X
american_scientific_journal-5504	42	22	,	,	PUNCT
american_scientific_journal-5504	42	23	for	for	ADP
american_scientific_journal-5504	42	24	each	each	DET
american_scientific_journal-5504	42	25	1	1	NUM
american_scientific_journal-5504	42	26	3	3	NUM
american_scientific_journal-5504	42	27	,	,	PUNCT
american_scientific_journal-5504	42	28	are	be	AUX
american_scientific_journal-5504	42	29	defined	define	VERB
american_scientific_journal-5504	42	30	as	as	ADP
american_scientific_journal-5504	42	31	{	{	PUNCT
american_scientific_journal-5504	42	32	+1	+1	X
american_scientific_journal-5504	42	33	if	if	SCONJ
american_scientific_journal-5504	42	34	if	if	SCONJ
american_scientific_journal-5504	42	35	(	(	PUNCT
american_scientific_journal-5504	42	36	4	4	NUM
american_scientific_journal-5504	42	37	)	)	PUNCT
american_scientific_journal-5504	42	38	based	base	VERB
american_scientific_journal-5504	42	39	on	on	ADP
american_scientific_journal-5504	42	40	the	the	DET
american_scientific_journal-5504	42	41	definition	definition	NOUN
american_scientific_journal-5504	42	42	of	of	ADP
american_scientific_journal-5504	42	43	the	the	DET
american_scientific_journal-5504	42	44	k	k	PROPN
american_scientific_journal-5504	42	45	-	-	PUNCT
american_scientific_journal-5504	42	46	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	42	47	matrix	matrix	NOUN
american_scientific_journal-5504	42	48	,	,	PUNCT
american_scientific_journal-5504	42	49	the	the	DET
american_scientific_journal-5504	42	50	general	general	ADJ
american_scientific_journal-5504	42	51	form	form	NOUN
american_scientific_journal-5504	42	52	ofk	ofk	NOUN
american_scientific_journal-5504	42	53	-	-	PUNCT
american_scientific_journal-5504	42	54	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	42	55	is	be	AUX
american_scientific_journal-5504	42	56	stated	state	VERB
american_scientific_journal-5504	42	57	as	as	SCONJ
american_scientific_journal-5504	42	58	follows	follow	VERB
american_scientific_journal-5504	42	59	:	:	PUNCT
american_scientific_journal-5504	42	60	[	[	PUNCT
american_scientific_journal-5504	42	61	1	1	NUM
american_scientific_journal-5504	42	62	⋯	⋯	SYM
american_scientific_journal-5504	42	63	1	1	NUM
american_scientific_journal-5504	42	64	⋯	⋯	ADP
american_scientific_journal-5504	42	65	3	3	NUM
american_scientific_journal-5504	42	66	1	1	NUM
american_scientific_journal-5504	42	67	⋯	⋯	ADP
american_scientific_journal-5504	42	68	1	1	NUM
american_scientific_journal-5504	42	69	⋯	⋯	ADP
american_scientific_journal-5504	42	70	1	1	NUM
american_scientific_journal-5504	42	71	]	]	PUNCT
american_scientific_journal-5504	42	72	furthermore	furthermore	ADV
american_scientific_journal-5504	42	73	,	,	PUNCT
american_scientific_journal-5504	42	74	from	from	ADP
american_scientific_journal-5504	42	75	the	the	DET
american_scientific_journal-5504	42	76	general	general	ADJ
american_scientific_journal-5504	42	77	form	form	NOUN
american_scientific_journal-5504	42	78	of	of	ADP
american_scientific_journal-5504	42	79	the	the	DET
american_scientific_journal-5504	42	80	k	k	PROPN
american_scientific_journal-5504	42	81	-	-	PUNCT
american_scientific_journal-5504	42	82	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	42	83	matrix	matrix	NOUN
american_scientific_journal-5504	42	84	the	the	DET
american_scientific_journal-5504	42	85	k	k	PROPN
american_scientific_journal-5504	42	86	-	-	PUNCT
american_scientific_journal-5504	42	87	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	42	88	matrix	matrix	NOUN
american_scientific_journal-5504	42	89	is	be	AUX
american_scientific_journal-5504	42	90	obtained	obtain	VERB
american_scientific_journal-5504	42	91	with	with	ADP
american_scientific_journal-5504	42	92	the	the	DET
american_scientific_journal-5504	42	93	main	main	ADJ
american_scientific_journal-5504	42	94	diagonal	diagonal	NOUN
american_scientific_journal-5504	42	95	of	of	ADP
american_scientific_journal-5504	42	96	1	1	NUM
american_scientific_journal-5504	42	97	and	and	CCONJ
american_scientific_journal-5504	42	98	the	the	DET
american_scientific_journal-5504	42	99	determinant	determinant	ADJ
american_scientific_journal-5504	42	100	value	value	NOUN
american_scientific_journal-5504	42	101	(	(	PUNCT
american_scientific_journal-5504	42	102	det	det	PROPN
american_scientific_journal-5504	42	103	)	)	PUNCT
american_scientific_journal-5504	42	104	of	of	ADP
american_scientific_journal-5504	42	105	the	the	DET
american_scientific_journal-5504	42	106	k	k	PROPN
american_scientific_journal-5504	42	107	-	-	PUNCT
american_scientific_journal-5504	42	108	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	42	109	matrix	matrix	NOUN
american_scientific_journal-5504	42	110	is	be	AUX
american_scientific_journal-5504	42	111	the	the	DET
american_scientific_journal-5504	42	112	result	result	NOUN
american_scientific_journal-5504	42	113	of	of	ADP
american_scientific_journal-5504	42	114	multiplying	multiply	VERB
american_scientific_journal-5504	42	115	diagonal	diagonal	ADJ
american_scientific_journal-5504	42	116	entries	entry	NOUN
american_scientific_journal-5504	42	117	,	,	PUNCT
american_scientific_journal-5504	42	118	so	so	SCONJ
american_scientific_journal-5504	42	119	we	we	PRON
american_scientific_journal-5504	42	120	get	get	VERB
american_scientific_journal-5504	42	121	det	det	NOUN
american_scientific_journal-5504	42	122	1	1	NUM
american_scientific_journal-5504	42	123	.	.	PUNCT
american_scientific_journal-5504	43	1	because	because	SCONJ
american_scientific_journal-5504	43	2	det	det	PROPN
american_scientific_journal-5504	43	3	,	,	PUNCT
american_scientific_journal-5504	43	4	the	the	DET
american_scientific_journal-5504	43	5	k	k	PROPN
american_scientific_journal-5504	43	6	-	-	PUNCT
american_scientific_journal-5504	43	7	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	43	8	matrix	matrix	NOUN
american_scientific_journal-5504	43	9	has	have	VERB
american_scientific_journal-5504	43	10	an	an	DET
american_scientific_journal-5504	43	11	inverse	inverse	NOUN
american_scientific_journal-5504	43	12	.	.	PUNCT
american_scientific_journal-5504	44	1	reference	reference	NOUN
american_scientific_journal-5504	44	2	[	[	X
american_scientific_journal-5504	44	3	3	3	X
american_scientific_journal-5504	44	4	]	]	PUNCT
american_scientific_journal-5504	44	5	provides	provide	VERB
american_scientific_journal-5504	44	6	a	a	DET
american_scientific_journal-5504	44	7	definition	definition	NOUN
american_scientific_journal-5504	44	8	for	for	ADP
american_scientific_journal-5504	44	9	the	the	DET
american_scientific_journal-5504	44	10	inverse	inverse	ADJ
american_scientific_journal-5504	44	11	k	k	PROPN
american_scientific_journal-5504	44	12	-	-	PUNCT
american_scientific_journal-5504	44	13	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	44	14	matrix	matrix	NOUN
american_scientific_journal-5504	44	15	in	in	ADP
american_scientific_journal-5504	44	16	definition	definition	NOUN
american_scientific_journal-5504	44	17	6	6	NUM
american_scientific_journal-5504	44	18	.	.	PUNCT
american_scientific_journal-5504	45	1	definition	definition	NOUN
american_scientific_journal-5504	45	2	6let	6let	NOUN
american_scientific_journal-5504	45	3	1	1	NUM
american_scientific_journal-5504	45	4	be	be	AUX
american_scientific_journal-5504	45	5	the	the	DET
american_scientific_journal-5504	45	6	inverse	inverse	NOUN
american_scientific_journal-5504	45	7	of	of	ADP
american_scientific_journal-5504	45	8	the	the	DET
american_scientific_journal-5504	45	9	k	k	PROPN
american_scientific_journal-5504	45	10	-	-	PUNCT
american_scientific_journal-5504	45	11	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	45	12	matrix	matrix	NOUN
american_scientific_journal-5504	45	13	,	,	PUNCT
american_scientific_journal-5504	45	14	for	for	ADP
american_scientific_journal-5504	45	15	each	each	DET
american_scientific_journal-5504	45	16	natural	natural	ADJ
american_scientific_journal-5504	45	17	number	number	NOUN
american_scientific_journal-5504	45	18	n	n	ADP
american_scientific_journal-5504	45	19	where	where	SCONJ
american_scientific_journal-5504	45	20	each	each	DET
american_scientific_journal-5504	45	21	entry	entry	NOUN
american_scientific_journal-5504	45	22	of	of	ADP
american_scientific_journal-5504	45	23	the	the	DET
american_scientific_journal-5504	45	24	inverse	inverse	ADJ
american_scientific_journal-5504	45	25	k	k	PROPN
american_scientific_journal-5504	45	26	-	-	PUNCT
american_scientific_journal-5504	45	27	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	45	28	matrix	matrix	NOUN
american_scientific_journal-5504	45	29	1	1	NUM
american_scientific_journal-5504	45	30	]	]	PUNCT
american_scientific_journal-5504	45	31	,	,	PUNCT
american_scientific_journal-5504	45	32	for	for	ADP
american_scientific_journal-5504	45	33	each	each	DET
american_scientific_journal-5504	45	34	1	1	NUM
american_scientific_journal-5504	45	35	3	3	NUM
american_scientific_journal-5504	45	36	,	,	PUNCT
american_scientific_journal-5504	45	37	is	be	AUX
american_scientific_journal-5504	45	38	defined	define	VERB
american_scientific_journal-5504	45	39	as	as	ADP
american_scientific_journal-5504	45	40	{	{	PUNCT
american_scientific_journal-5504	45	41	1	1	NUM
american_scientific_journal-5504	45	42	if	if	SCONJ
american_scientific_journal-5504	45	43	−	−	PROPN
american_scientific_journal-5504	45	44	if	if	SCONJ
american_scientific_journal-5504	45	45	−	−	PROPN
american_scientific_journal-5504	45	46	1	1	NUM
american_scientific_journal-5504	45	47	−1	−1	NOUN
american_scientific_journal-5504	45	48	if	if	SCONJ
american_scientific_journal-5504	45	49	−	−	PROPN
american_scientific_journal-5504	45	50	for	for	ADP
american_scientific_journal-5504	45	51	others	other	NOUN
american_scientific_journal-5504	45	52	5	5	NUM
american_scientific_journal-5504	45	53	because	because	SCONJ
american_scientific_journal-5504	45	54	the	the	DET
american_scientific_journal-5504	45	55	k	k	PROPN
american_scientific_journal-5504	45	56	-	-	PUNCT
american_scientific_journal-5504	45	57	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	45	58	matrix	matrix	NOUN
american_scientific_journal-5504	45	59	has	have	VERB
american_scientific_journal-5504	45	60	an	an	DET
american_scientific_journal-5504	45	61	inverse	inverse	NOUN
american_scientific_journal-5504	45	62	,	,	PUNCT
american_scientific_journal-5504	45	63	then	then	ADV
american_scientific_journal-5504	45	64	1	1	NUM
american_scientific_journal-5504	45	65	1	1	NUM
american_scientific_journal-5504	45	66	can	can	AUX
american_scientific_journal-5504	45	67	be	be	AUX
american_scientific_journal-5504	45	68	applied	apply	VERB
american_scientific_journal-5504	45	69	,	,	PUNCT
american_scientific_journal-5504	45	70	so	so	SCONJ
american_scientific_journal-5504	45	71	the	the	DET
american_scientific_journal-5504	45	72	k	k	ADJ
american_scientific_journal-5504	45	73	-	-	PUNCT
american_scientific_journal-5504	45	74	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	45	75	matrix	matrix	NOUN
american_scientific_journal-5504	45	76	is	be	AUX
american_scientific_journal-5504	45	77	an	an	DET
american_scientific_journal-5504	45	78	invertible	invertible	ADJ
american_scientific_journal-5504	45	79	matrix.based	matrix.base	VERB
american_scientific_journal-5504	45	80	on	on	ADP
american_scientific_journal-5504	45	81	the	the	DET
american_scientific_journal-5504	45	82	definition	definition	NOUN
american_scientific_journal-5504	45	83	of	of	ADP
american_scientific_journal-5504	45	84	the	the	DET
american_scientific_journal-5504	45	85	inverse	inverse	ADJ
american_scientific_journal-5504	45	86	k	k	PROPN
american_scientific_journal-5504	45	87	-	-	PUNCT
american_scientific_journal-5504	45	88	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	45	89	matrix	matrix	NOUN
american_scientific_journal-5504	45	90	,	,	PUNCT
american_scientific_journal-5504	45	91	the	the	DET
american_scientific_journal-5504	45	92	general	general	ADJ
american_scientific_journal-5504	45	93	form	form	NOUN
american_scientific_journal-5504	45	94	of	of	ADP
american_scientific_journal-5504	45	95	the	the	DET
american_scientific_journal-5504	45	96	inverse	inverse	ADJ
american_scientific_journal-5504	45	97	k	k	PROPN
american_scientific_journal-5504	45	98	-	-	PUNCT
american_scientific_journal-5504	45	99	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	45	100	matrix	matrix	NOUN
american_scientific_journal-5504	45	101	is	be	AUX
american_scientific_journal-5504	45	102	1	1	NUM
american_scientific_journal-5504	45	103	[	[	PUNCT
american_scientific_journal-5504	45	104	1	1	NUM
american_scientific_journal-5504	45	105	⋯	⋯	NOUN
american_scientific_journal-5504	45	106	⋯	⋯	NOUN
american_scientific_journal-5504	45	107	−	−	PROPN
american_scientific_journal-5504	45	108	1	1	NUM
american_scientific_journal-5504	45	109	⋯	⋯	NOUN
american_scientific_journal-5504	45	110	⋯	⋯	NOUN
american_scientific_journal-5504	45	111	−1	−1	NOUN
american_scientific_journal-5504	45	112	−	−	PROPN
american_scientific_journal-5504	45	113	1	1	NUM
american_scientific_journal-5504	46	1	⋯	⋯	NOUN
american_scientific_journal-5504	46	2	⋯	⋯	NOUN
american_scientific_journal-5504	46	3	−1	−1	NOUN
american_scientific_journal-5504	46	4	−	−	PROPN
american_scientific_journal-5504	46	5	1	1	NUM
american_scientific_journal-5504	46	6	−1	−1	NOUN
american_scientific_journal-5504	46	7	−	−	NOUN
american_scientific_journal-5504	46	8	1	1	NUM
american_scientific_journal-5504	46	9	]	]	PUNCT
american_scientific_journal-5504	46	10	6	6	NUM
american_scientific_journal-5504	46	11	based	base	VERB
american_scientific_journal-5504	46	12	on	on	ADP
american_scientific_journal-5504	46	13	equation	equation	NOUN
american_scientific_journal-5504	46	14	(	(	PUNCT
american_scientific_journal-5504	46	15	6	6	NUM
american_scientific_journal-5504	46	16	)	)	PUNCT
american_scientific_journal-5504	46	17	it	it	PRON
american_scientific_journal-5504	46	18	can	can	AUX
american_scientific_journal-5504	46	19	be	be	AUX
american_scientific_journal-5504	46	20	concluded	conclude	VERB
american_scientific_journal-5504	46	21	that	that	SCONJ
american_scientific_journal-5504	46	22	for	for	SCONJ
american_scientific_journal-5504	46	23	each	each	DET
american_scientific_journal-5504	46	24	entry	entry	NOUN
american_scientific_journal-5504	46	25	of	of	ADP
american_scientific_journal-5504	46	26	the	the	DET
american_scientific_journal-5504	46	27	inverse	inverse	ADJ
american_scientific_journal-5504	46	28	k	k	PROPN
american_scientific_journal-5504	46	29	-	-	PUNCT
american_scientific_journal-5504	46	30	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	46	31	matrix	matrix	NOUN
american_scientific_journal-5504	46	32	1	1	NUM
american_scientific_journal-5504	46	33	applies	apply	VERB
american_scientific_journal-5504	46	34	to	to	ADP
american_scientific_journal-5504	46	35	each	each	DET
american_scientific_journal-5504	46	36	entry	entry	NOUN
american_scientific_journal-5504	46	37	pattern	pattern	NOUN
american_scientific_journal-5504	46	38	in	in	ADP
american_scientific_journal-5504	46	39	thecolumn	thecolumn	NOUN
american_scientific_journal-5504	46	40	with	with	ADP
american_scientific_journal-5504	46	41	entries1	entries1	NOUN
american_scientific_journal-5504	46	42	−	−	PROPN
american_scientific_journal-5504	46	43	−	−	NUM
american_scientific_journal-5504	46	44	1	1	NUM
american_scientific_journal-5504	46	45	and	and	CCONJ
american_scientific_journal-5504	46	46	.	.	PUNCT
american_scientific_journal-5504	47	1	this	this	PRON
american_scientific_journal-5504	47	2	applies	apply	VERB
american_scientific_journal-5504	47	3	to	to	ADP
american_scientific_journal-5504	47	4	the	the	DET
american_scientific_journal-5504	47	5	matrix	matrix	NOUN
american_scientific_journal-5504	47	6	x	x	PUNCT
american_scientific_journal-5504	47	7	where	where	SCONJ
american_scientific_journal-5504	47	8	the	the	DET
american_scientific_journal-5504	47	9	entry	entry	NOUN
american_scientific_journal-5504	47	10	pattern	pattern	NOUN
american_scientific_journal-5504	47	11	does	do	AUX
american_scientific_journal-5504	47	12	not	not	PART
american_scientific_journal-5504	47	13	change	change	VERB
american_scientific_journal-5504	47	14	.	.	PUNCT
american_scientific_journal-5504	48	1	american	american	ADJ
american_scientific_journal-5504	48	2	scientific	scientific	ADJ
american_scientific_journal-5504	48	3	research	research	PROPN
american_scientific_journal-5504	48	4	journal	journal	NOUN
american_scientific_journal-5504	48	5	for	for	ADP
american_scientific_journal-5504	48	6	engineering	engineering	NOUN
american_scientific_journal-5504	48	7	,	,	PUNCT
american_scientific_journal-5504	48	8	technology	technology	NOUN
american_scientific_journal-5504	48	9	,	,	PUNCT
american_scientific_journal-5504	48	10	and	and	CCONJ
american_scientific_journal-5504	48	11	sciences	science	NOUN
american_scientific_journal-5504	48	12	(	(	PUNCT
american_scientific_journal-5504	48	13	asrjets	asrjet	NOUN
american_scientific_journal-5504	48	14	)	)	PUNCT
american_scientific_journal-5504	48	15	(	(	PUNCT
american_scientific_journal-5504	48	16	2020	2020	NUM
american_scientific_journal-5504	48	17	)	)	PUNCT
american_scientific_journal-5504	48	18	volume	volume	NOUN
american_scientific_journal-5504	48	19	65	65	NUM
american_scientific_journal-5504	48	20	,	,	PUNCT
american_scientific_journal-5504	48	21	no	no	DET
american_scientific_journal-5504	48	22	1	1	NUM
american_scientific_journal-5504	48	23	,	,	PUNCT
american_scientific_journal-5504	48	24	pp	pp	ADV
american_scientific_journal-5504	48	25	29	29	NUM
american_scientific_journal-5504	48	26	-	-	SYM
american_scientific_journal-5504	48	27	38	38	NUM
american_scientific_journal-5504	48	28	33	33	NUM
american_scientific_journal-5504	48	29	3	3	NUM
american_scientific_journal-5504	48	30	.	.	PUNCT
american_scientific_journal-5504	48	31	relationship	relationship	NOUN
american_scientific_journal-5504	48	32	of	of	ADP
american_scientific_journal-5504	48	33	bell	bell	PROPN
american_scientific_journal-5504	48	34	’s	’s	PART
american_scientific_journal-5504	48	35	polynomial	polynomial	ADJ
american_scientific_journal-5504	48	36	matrix	matrix	NOUN
american_scientific_journal-5504	48	37	and	and	CCONJ
american_scientific_journal-5504	48	38	k	k	ADJ
american_scientific_journal-5504	48	39	-	-	PUNCT
american_scientific_journal-5504	48	40	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	48	41	matrix	matrix	NOUN
american_scientific_journal-5504	48	42	this	this	DET
american_scientific_journal-5504	48	43	section	section	NOUN
american_scientific_journal-5504	48	44	discusses	discuss	VERB
american_scientific_journal-5504	48	45	the	the	DET
american_scientific_journal-5504	48	46	relationship	relationship	NOUN
american_scientific_journal-5504	48	47	between	between	ADP
american_scientific_journal-5504	48	48	the	the	DET
american_scientific_journal-5504	48	49	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	48	50	polynomial	polynomial	ADJ
american_scientific_journal-5504	48	51	matrix	matrix	NOUN
american_scientific_journal-5504	48	52	and	and	CCONJ
american_scientific_journal-5504	48	53	the	the	DET
american_scientific_journal-5504	48	54	k	k	PROPN
american_scientific_journal-5504	48	55	-	-	PUNCT
american_scientific_journal-5504	48	56	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	48	57	matrix	matrix	NOUN
american_scientific_journal-5504	48	58	.	.	PUNCT
american_scientific_journal-5504	49	1	the	the	DET
american_scientific_journal-5504	49	2	first	first	ADJ
american_scientific_journal-5504	49	3	relationship	relationship	NOUN
american_scientific_journal-5504	49	4	of	of	ADP
american_scientific_journal-5504	49	5	the	the	DET
american_scientific_journal-5504	49	6	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	49	7	polynomial	polynomial	ADJ
american_scientific_journal-5504	49	8	matrix	matrix	NOUN
american_scientific_journal-5504	49	9	and	and	CCONJ
american_scientific_journal-5504	49	10	the	the	DET
american_scientific_journal-5504	49	11	k	k	PROPN
american_scientific_journal-5504	49	12	-	-	PUNCT
american_scientific_journal-5504	49	13	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	49	14	matrix	matrix	NOUN
american_scientific_journal-5504	49	15	involves	involve	VERB
american_scientific_journal-5504	49	16	the	the	DET
american_scientific_journal-5504	49	17	inverse	inverse	NOUN
american_scientific_journal-5504	49	18	of	of	ADP
american_scientific_journal-5504	49	19	the	the	DET
american_scientific_journal-5504	49	20	kfibonacci	kfibonacci	ADJ
american_scientific_journal-5504	49	21	matrix	matrix	NOUN
american_scientific_journal-5504	49	22	with	with	ADP
american_scientific_journal-5504	49	23	the	the	DET
american_scientific_journal-5504	49	24	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	49	25	polynomial	polynomial	ADJ
american_scientific_journal-5504	49	26	matrix	matrix	NOUN
american_scientific_journal-5504	49	27	so	so	SCONJ
american_scientific_journal-5504	49	28	that	that	SCONJ
american_scientific_journal-5504	49	29	the	the	DET
american_scientific_journal-5504	49	30	matrix	matrix	NOUN
american_scientific_journal-5504	49	31	is	be	AUX
american_scientific_journal-5504	49	32	denoted	denote	VERB
american_scientific_journal-5504	49	33	by	by	ADP
american_scientific_journal-5504	49	34	the	the	DET
american_scientific_journal-5504	49	35	matrix	matrix	NOUN
american_scientific_journal-5504	49	36	for	for	ADP
american_scientific_journal-5504	49	37	each	each	PRON
american_scientific_journal-5504	49	38	of	of	ADP
american_scientific_journal-5504	49	39	the	the	DET
american_scientific_journal-5504	49	40	natural	natural	ADJ
american_scientific_journal-5504	49	41	numbern	numbern	VERB
american_scientific_journal-5504	49	42	the	the	DET
american_scientific_journal-5504	49	43	relationship	relationship	NOUN
american_scientific_journal-5504	49	44	between	between	ADP
american_scientific_journal-5504	49	45	the	the	DET
american_scientific_journal-5504	49	46	two	two	NUM
american_scientific_journal-5504	49	47	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	49	48	polynomial	polynomial	ADJ
american_scientific_journal-5504	49	49	matrices	matrix	NOUN
american_scientific_journal-5504	49	50	and	and	CCONJ
american_scientific_journal-5504	49	51	the	the	DET
american_scientific_journal-5504	49	52	k	k	PROPN
american_scientific_journal-5504	49	53	-	-	PUNCT
american_scientific_journal-5504	49	54	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	49	55	matrix	matrix	NOUN
american_scientific_journal-5504	49	56	by	by	ADP
american_scientific_journal-5504	49	57	involves	involve	VERB
american_scientific_journal-5504	49	58	the	the	DET
american_scientific_journal-5504	49	59	multiplication	multiplication	NOUN
american_scientific_journal-5504	49	60	of	of	ADP
american_scientific_journal-5504	49	61	the	the	DET
american_scientific_journal-5504	49	62	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	49	63	polynomial	polynomial	ADJ
american_scientific_journal-5504	49	64	matrix	matrix	NOUN
american_scientific_journal-5504	49	65	and	and	CCONJ
american_scientific_journal-5504	49	66	the	the	DET
american_scientific_journal-5504	49	67	inverse	inverse	ADJ
american_scientific_journal-5504	49	68	k	k	PROPN
american_scientific_journal-5504	49	69	-	-	PUNCT
american_scientific_journal-5504	49	70	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	49	71	matrix	matrix	NOUN
american_scientific_journal-5504	49	72	,	,	PUNCT
american_scientific_journal-5504	49	73	so	so	SCONJ
american_scientific_journal-5504	49	74	that	that	SCONJ
american_scientific_journal-5504	49	75	a	a	DET
american_scientific_journal-5504	49	76	matrix	matrix	NOUN
american_scientific_journal-5504	49	77	is	be	AUX
american_scientific_journal-5504	49	78	denoted	denote	VERB
american_scientific_journal-5504	49	79	by	by	ADP
american_scientific_journal-5504	49	80	the	the	DET
american_scientific_journal-5504	49	81	matrix	matrix	NOUN
american_scientific_journal-5504	49	82	for	for	ADP
american_scientific_journal-5504	49	83	every	every	DET
american_scientific_journal-5504	49	84	natural	natural	ADJ
american_scientific_journal-5504	49	85	number	number	NOUN
american_scientific_journal-5504	49	86	n.	n.	NOUN
american_scientific_journal-5504	49	87	3.1	3.1	NUM
american_scientific_journal-5504	49	88	.	.	PUNCT
american_scientific_journal-5504	50	1	the	the	DET
american_scientific_journal-5504	50	2	first	first	ADJ
american_scientific_journal-5504	50	3	relationship	relationship	NOUN
american_scientific_journal-5504	50	4	for	for	ADP
american_scientific_journal-5504	50	5	the	the	DET
american_scientific_journal-5504	50	6	bell	bell	NOUN
american_scientific_journal-5504	50	7	polynomial	polynomial	ADJ
american_scientific_journal-5504	50	8	matrix	matrix	NOUN
american_scientific_journal-5504	50	9	and	and	CCONJ
american_scientific_journal-5504	50	10	the	the	DET
american_scientific_journal-5504	50	11	k	k	PROPN
american_scientific_journal-5504	50	12	-	-	PUNCT
american_scientific_journal-5504	50	13	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	50	14	matrix	matrix	NOUN
american_scientific_journal-5504	50	15	based	base	VERB
american_scientific_journal-5504	50	16	on	on	ADP
american_scientific_journal-5504	50	17	the	the	DET
american_scientific_journal-5504	50	18	inverse	inverse	ADJ
american_scientific_journal-5504	50	19	ofk	ofk	NOUN
american_scientific_journal-5504	50	20	-	-	PUNCT
american_scientific_journal-5504	50	21	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	50	22	matrix	matrix	NOUN
american_scientific_journal-5504	50	23	in	in	ADP
american_scientific_journal-5504	50	24	equation	equation	NOUN
american_scientific_journal-5504	50	25	5	5	NUM
american_scientific_journal-5504	50	26	and	and	CCONJ
american_scientific_journal-5504	50	27	the	the	DET
american_scientific_journal-5504	50	28	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	50	29	polynomial	polynomial	ADJ
american_scientific_journal-5504	50	30	matrix	matrix	NOUN
american_scientific_journal-5504	50	31	in	in	ADP
american_scientific_journal-5504	50	32	equation	equation	NOUN
american_scientific_journal-5504	50	33	for	for	ADP
american_scientific_journal-5504	50	34	n	n	NOUN
american_scientific_journal-5504	50	35	=	=	SYM
american_scientific_journal-5504	50	36	2	2	NUM
american_scientific_journal-5504	50	37	multiplying	multiply	VERB
american_scientific_journal-5504	50	38	the	the	DET
american_scientific_journal-5504	50	39	inverse	inverse	ADJ
american_scientific_journal-5504	50	40	k	k	PROPN
american_scientific_journal-5504	50	41	-	-	PUNCT
american_scientific_journal-5504	50	42	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	50	43	matrix	matrix	NOUN
american_scientific_journal-5504	50	44	1	1	NUM
american_scientific_journal-5504	50	45	and	and	CCONJ
american_scientific_journal-5504	50	46	bell'spolynomial	bell'spolynomial	ADJ
american_scientific_journal-5504	50	47	matrix	matrix	NOUN
american_scientific_journal-5504	50	48	yields	yield	VERB
american_scientific_journal-5504	50	49	1	1	NUM
american_scientific_journal-5504	50	50	*	*	SYM
american_scientific_journal-5504	50	51	1	1	NUM
american_scientific_journal-5504	50	52	−	−	NUM
american_scientific_journal-5504	50	53	1	1	NUM
american_scientific_journal-5504	50	54	+	+	CCONJ
american_scientific_journal-5504	50	55	[	[	PUNCT
american_scientific_journal-5504	50	56	1	1	NUM
american_scientific_journal-5504	50	57	1	1	NUM
american_scientific_journal-5504	50	58	]	]	PUNCT
american_scientific_journal-5504	50	59	thus	thus	ADV
american_scientific_journal-5504	50	60	,	,	PUNCT
american_scientific_journal-5504	50	61	the	the	DET
american_scientific_journal-5504	50	62	product	product	NOUN
american_scientific_journal-5504	50	63	of	of	ADP
american_scientific_journal-5504	50	64	1	1	NUM
american_scientific_journal-5504	50	65	is	be	AUX
american_scientific_journal-5504	50	66	expressed	express	VERB
american_scientific_journal-5504	50	67	as	as	ADP
american_scientific_journal-5504	50	68	a	a	DET
american_scientific_journal-5504	50	69	matrix	matrix	NOUN
american_scientific_journal-5504	50	70	,	,	PUNCT
american_scientific_journal-5504	50	71	so	so	CCONJ
american_scientific_journal-5504	50	72	a	a	DET
american_scientific_journal-5504	50	73	matrix	matrix	NOUN
american_scientific_journal-5504	50	74	is	be	AUX
american_scientific_journal-5504	50	75	obtained	obtain	VERB
american_scientific_journal-5504	50	76	as	as	SCONJ
american_scientific_journal-5504	50	77	follows	follow	VERB
american_scientific_journal-5504	50	78	:	:	PUNCT
american_scientific_journal-5504	50	79	[	[	PUNCT
american_scientific_journal-5504	50	80	1	1	NUM
american_scientific_journal-5504	50	81	−	−	NUM
american_scientific_journal-5504	50	82	1	1	NUM
american_scientific_journal-5504	50	83	1	1	NUM
american_scientific_journal-5504	50	84	]	]	PUNCT
american_scientific_journal-5504	50	85	next	next	ADV
american_scientific_journal-5504	50	86	for	for	ADP
american_scientific_journal-5504	50	87	n	n	NOUN
american_scientific_journal-5504	50	88	=	=	SYM
american_scientific_journal-5504	50	89	3	3	NUM
american_scientific_journal-5504	50	90	multiplying	multiply	VERB
american_scientific_journal-5504	50	91	the	the	DET
american_scientific_journal-5504	50	92	inverse	inverse	NOUN
american_scientific_journal-5504	50	93	of	of	ADP
american_scientific_journal-5504	50	94	the	the	DET
american_scientific_journal-5504	50	95	k	k	PROPN
american_scientific_journal-5504	50	96	-	-	PUNCT
american_scientific_journal-5504	50	97	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	50	98	matrix	matrix	NOUN
american_scientific_journal-5504	50	99	3	3	NUM
american_scientific_journal-5504	50	100	1	1	NUM
american_scientific_journal-5504	50	101	and	and	CCONJ
american_scientific_journal-5504	50	102	the	the	DET
american_scientific_journal-5504	50	103	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	50	104	polynomial	polynomial	ADJ
american_scientific_journal-5504	50	105	matrix	matrix	NOUN
american_scientific_journal-5504	50	106	3gives	3gives	NUM
american_scientific_journal-5504	50	107	1	1	NUM
american_scientific_journal-5504	50	108	[	[	PUNCT
american_scientific_journal-5504	50	109	−	−	PROPN
american_scientific_journal-5504	50	110	−	−	PROPN
american_scientific_journal-5504	50	111	−	−	PROPN
american_scientific_journal-5504	50	112	]	]	PUNCT
american_scientific_journal-5504	51	1	[	[	PUNCT
american_scientific_journal-5504	51	2	]	]	X
american_scientific_journal-5504	51	3	thus	thus	ADV
american_scientific_journal-5504	51	4	,	,	PUNCT
american_scientific_journal-5504	51	5	the	the	DET
american_scientific_journal-5504	51	6	product	product	NOUN
american_scientific_journal-5504	51	7	of	of	ADP
american_scientific_journal-5504	51	8	3	3	NUM
american_scientific_journal-5504	51	9	1	1	NUM
american_scientific_journal-5504	51	10	3	3	NUM
american_scientific_journal-5504	51	11	is	be	AUX
american_scientific_journal-5504	51	12	expressed	express	VERB
american_scientific_journal-5504	51	13	as	as	ADP
american_scientific_journal-5504	51	14	a	a	DET
american_scientific_journal-5504	51	15	matrix	matrix	NOUN
american_scientific_journal-5504	51	16	3	3	NUM
american_scientific_journal-5504	51	17	,	,	PUNCT
american_scientific_journal-5504	51	18	so	so	ADV
american_scientific_journal-5504	51	19	a	a	DET
american_scientific_journal-5504	51	20	matrix	matrix	NOUN
american_scientific_journal-5504	51	21	3	3	NUM
american_scientific_journal-5504	51	22	is	be	AUX
american_scientific_journal-5504	51	23	obtained	obtain	VERB
american_scientific_journal-5504	51	24	as	as	SCONJ
american_scientific_journal-5504	51	25	follows	follow	VERB
american_scientific_journal-5504	51	26	:	:	PUNCT
american_scientific_journal-5504	51	27	3	3	NUM
american_scientific_journal-5504	51	28	[	[	PUNCT
american_scientific_journal-5504	51	29	1	1	NUM
american_scientific_journal-5504	51	30	−	−	NUM
american_scientific_journal-5504	51	31	1	1	NUM
american_scientific_journal-5504	51	32	1	1	NUM
american_scientific_journal-5504	51	33	3	3	NUM
american_scientific_journal-5504	51	34	−	−	NOUN
american_scientific_journal-5504	51	35	−	−	NUM
american_scientific_journal-5504	51	36	1	1	NUM
american_scientific_journal-5504	51	37	3	3	NUM
american_scientific_journal-5504	51	38	1	1	NUM
american_scientific_journal-5504	51	39	−	−	NUM
american_scientific_journal-5504	51	40	1	1	NUM
american_scientific_journal-5504	51	41	1	1	NUM
american_scientific_journal-5504	51	42	3	3	NUM
american_scientific_journal-5504	51	43	]	]	PUNCT
american_scientific_journal-5504	51	44	next	next	ADV
american_scientific_journal-5504	51	45	for	for	ADP
american_scientific_journal-5504	51	46	n	n	NOUN
american_scientific_journal-5504	51	47	=	=	SYM
american_scientific_journal-5504	51	48	4	4	NUM
american_scientific_journal-5504	51	49	multiplying	multiply	VERB
american_scientific_journal-5504	51	50	the	the	DET
american_scientific_journal-5504	51	51	inverse	inverse	NOUN
american_scientific_journal-5504	51	52	of	of	ADP
american_scientific_journal-5504	51	53	the	the	DET
american_scientific_journal-5504	51	54	k	k	PROPN
american_scientific_journal-5504	51	55	-	-	PUNCT
american_scientific_journal-5504	51	56	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	51	57	matrix	matrix	NOUN
american_scientific_journal-5504	51	58	4	4	NUM
american_scientific_journal-5504	51	59	1	1	NUM
american_scientific_journal-5504	51	60	and	and	CCONJ
american_scientific_journal-5504	51	61	the	the	DET
american_scientific_journal-5504	51	62	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	51	63	polynomial	polynomial	ADJ
american_scientific_journal-5504	51	64	matrix	matrix	NOUN
american_scientific_journal-5504	51	65	4produces	4produces	NUM
american_scientific_journal-5504	51	66	4	4	NUM
american_scientific_journal-5504	51	67	1	1	NUM
american_scientific_journal-5504	51	68	4	4	NUM
american_scientific_journal-5504	51	69	[	[	PUNCT
american_scientific_journal-5504	51	70	1	1	NUM
american_scientific_journal-5504	51	71	−	−	NUM
american_scientific_journal-5504	51	72	1	1	NUM
american_scientific_journal-5504	51	73	−1	−1	NOUN
american_scientific_journal-5504	51	74	−	−	NOUN
american_scientific_journal-5504	51	75	1	1	NUM
american_scientific_journal-5504	51	76	−1	−1	NOUN
american_scientific_journal-5504	51	77	−	−	NOUN
american_scientific_journal-5504	51	78	1	1	NUM
american_scientific_journal-5504	51	79	]	]	PUNCT
american_scientific_journal-5504	51	80	[	[	PUNCT
american_scientific_journal-5504	51	81	1	1	NUM
american_scientific_journal-5504	51	82	1	1	NUM
american_scientific_journal-5504	51	83	3	3	NUM
american_scientific_journal-5504	51	84	3	3	NUM
american_scientific_journal-5504	51	85	1	1	NUM
american_scientific_journal-5504	51	86	1	1	NUM
american_scientific_journal-5504	51	87	3	3	NUM
american_scientific_journal-5504	51	88	4	4	NUM
american_scientific_journal-5504	51	89	4	4	NUM
american_scientific_journal-5504	51	90	1	1	NUM
american_scientific_journal-5504	51	91	3	3	NUM
american_scientific_journal-5504	51	92	+	+	CCONJ
american_scientific_journal-5504	51	93	3	3	NUM
american_scientific_journal-5504	51	94	6	6	NUM
american_scientific_journal-5504	51	95	1	1	NUM
american_scientific_journal-5504	51	96	1	1	NUM
american_scientific_journal-5504	51	97	4	4	NUM
american_scientific_journal-5504	51	98	]	]	PUNCT
american_scientific_journal-5504	51	99	thus	thus	ADV
american_scientific_journal-5504	51	100	,	,	PUNCT
american_scientific_journal-5504	51	101	the	the	DET
american_scientific_journal-5504	51	102	product	product	NOUN
american_scientific_journal-5504	51	103	of	of	ADP
american_scientific_journal-5504	51	104	4	4	NUM
american_scientific_journal-5504	51	105	1	1	NUM
american_scientific_journal-5504	51	106	4	4	NUM
american_scientific_journal-5504	51	107	is	be	AUX
american_scientific_journal-5504	51	108	expressed	express	VERB
american_scientific_journal-5504	51	109	as	as	ADP
american_scientific_journal-5504	51	110	a	a	DET
american_scientific_journal-5504	51	111	matrix	matrix	NOUN
american_scientific_journal-5504	51	112	4	4	NUM
american_scientific_journal-5504	51	113	,	,	PUNCT
american_scientific_journal-5504	51	114	so	so	ADV
american_scientific_journal-5504	51	115	a	a	DET
american_scientific_journal-5504	51	116	matrix	matrix	NOUN
american_scientific_journal-5504	51	117	4	4	NUM
american_scientific_journal-5504	51	118	is	be	AUX
american_scientific_journal-5504	51	119	obtained	obtain	VERB
american_scientific_journal-5504	51	120	as	as	ADP
american_scientific_journal-5504	51	121	follows	follow	VERB
american_scientific_journal-5504	51	122	:	:	PUNCT
american_scientific_journal-5504	51	123	american	american	ADJ
american_scientific_journal-5504	51	124	scientific	scientific	ADJ
american_scientific_journal-5504	51	125	research	research	PROPN
american_scientific_journal-5504	51	126	journal	journal	NOUN
american_scientific_journal-5504	51	127	for	for	ADP
american_scientific_journal-5504	51	128	engineering	engineering	NOUN
american_scientific_journal-5504	51	129	,	,	PUNCT
american_scientific_journal-5504	51	130	technology	technology	NOUN
american_scientific_journal-5504	51	131	,	,	PUNCT
american_scientific_journal-5504	51	132	and	and	CCONJ
american_scientific_journal-5504	51	133	sciences	science	NOUN
american_scientific_journal-5504	51	134	(	(	PUNCT
american_scientific_journal-5504	51	135	asrjets	asrjet	NOUN
american_scientific_journal-5504	51	136	)	)	PUNCT
american_scientific_journal-5504	51	137	(	(	PUNCT
american_scientific_journal-5504	51	138	2020	2020	NUM
american_scientific_journal-5504	51	139	)	)	PUNCT
american_scientific_journal-5504	51	140	volume	volume	NOUN
american_scientific_journal-5504	51	141	65	65	NUM
american_scientific_journal-5504	51	142	,	,	PUNCT
american_scientific_journal-5504	51	143	no	no	DET
american_scientific_journal-5504	51	144	1	1	NUM
american_scientific_journal-5504	51	145	,	,	PUNCT
american_scientific_journal-5504	51	146	pp	pp	ADV
american_scientific_journal-5504	51	147	29	29	NUM
american_scientific_journal-5504	51	148	-	-	SYM
american_scientific_journal-5504	51	149	38	38	NUM
american_scientific_journal-5504	51	150	34	34	NUM
american_scientific_journal-5504	51	151	4	4	NUM
american_scientific_journal-5504	51	152	[	[	PUNCT
american_scientific_journal-5504	51	153	1	1	NUM
american_scientific_journal-5504	51	154	−	−	NUM
american_scientific_journal-5504	51	155	1	1	NUM
american_scientific_journal-5504	51	156	1	1	NUM
american_scientific_journal-5504	51	157	3	3	NUM
american_scientific_journal-5504	52	1	−	−	NOUN
american_scientific_journal-5504	52	2	−	−	NUM
american_scientific_journal-5504	52	3	1	1	NUM
american_scientific_journal-5504	52	4	3	3	NUM
american_scientific_journal-5504	52	5	1	1	NUM
american_scientific_journal-5504	52	6	−	−	NUM
american_scientific_journal-5504	52	7	1	1	NUM
american_scientific_journal-5504	52	8	1	1	NUM
american_scientific_journal-5504	52	9	3	3	NUM
american_scientific_journal-5504	52	10	4	4	NUM
american_scientific_journal-5504	52	11	−	−	NOUN
american_scientific_journal-5504	52	12	3	3	NUM
american_scientific_journal-5504	52	13	−	−	NOUN
american_scientific_journal-5504	52	14	4	4	NUM
american_scientific_journal-5504	52	15	1	1	NUM
american_scientific_journal-5504	52	16	3	3	NUM
american_scientific_journal-5504	52	17	+	+	CCONJ
american_scientific_journal-5504	52	18	3	3	NUM
american_scientific_journal-5504	52	19	−	−	NOUN
american_scientific_journal-5504	52	20	3	3	NUM
american_scientific_journal-5504	52	21	1	1	NUM
american_scientific_journal-5504	52	22	6	6	NUM
american_scientific_journal-5504	52	23	1	1	NUM
american_scientific_journal-5504	52	24	−	−	NUM
american_scientific_journal-5504	52	25	1	1	NUM
american_scientific_journal-5504	52	26	3	3	NUM
american_scientific_journal-5504	52	27	1	1	NUM
american_scientific_journal-5504	52	28	4	4	NUM
american_scientific_journal-5504	52	29	]	]	PUNCT
american_scientific_journal-5504	52	30	by	by	ADP
american_scientific_journal-5504	52	31	paying	pay	VERB
american_scientific_journal-5504	52	32	attention	attention	NOUN
american_scientific_journal-5504	52	33	to	to	ADP
american_scientific_journal-5504	52	34	each	each	DET
american_scientific_journal-5504	52	35	entry	entry	NOUN
american_scientific_journal-5504	52	36	in	in	ADP
american_scientific_journal-5504	52	37	the	the	DET
american_scientific_journal-5504	52	38	matrix	matrix	NOUN
american_scientific_journal-5504	52	39	4there	4there	NUM
american_scientific_journal-5504	52	40	is	be	AUX
american_scientific_journal-5504	52	41	a	a	DET
american_scientific_journal-5504	52	42	matrix	matrix	NOUN
american_scientific_journal-5504	52	43	3and	3and	NUM
american_scientific_journal-5504	52	44	by	by	ADP
american_scientific_journal-5504	52	45	paying	pay	VERB
american_scientific_journal-5504	52	46	attention	attention	NOUN
american_scientific_journal-5504	52	47	to	to	ADP
american_scientific_journal-5504	52	48	each	each	DET
american_scientific_journal-5504	52	49	entry	entry	NOUN
american_scientific_journal-5504	52	50	in	in	ADP
american_scientific_journal-5504	52	51	the	the	DET
american_scientific_journal-5504	52	52	3	3	NUM
american_scientific_journal-5504	52	53	matrix	matrix	NOUN
american_scientific_journal-5504	52	54	there	there	PRON
american_scientific_journal-5504	52	55	is	be	VERB
american_scientific_journal-5504	52	56	a	a	DET
american_scientific_journal-5504	52	57	matrix	matrix	NOUN
american_scientific_journal-5504	52	58	,	,	PUNCT
american_scientific_journal-5504	52	59	for	for	SCONJ
american_scientific_journal-5504	52	60	all	all	DET
american_scientific_journal-5504	52	61	values	value	NOUN
american_scientific_journal-5504	52	62	of	of	ADP
american_scientific_journal-5504	52	63	the	the	DET
american_scientific_journal-5504	52	64	matrix	matrix	NOUN
american_scientific_journal-5504	52	65	entries	entry	NOUN
american_scientific_journal-5504	52	66	are	be	AUX
american_scientific_journal-5504	52	67	listed	list	VERB
american_scientific_journal-5504	52	68	as	as	ADP
american_scientific_journal-5504	52	69	table	table	NOUN
american_scientific_journal-5504	52	70	1	1	NUM
american_scientific_journal-5504	52	71	.	.	PUNCT
american_scientific_journal-5504	52	72	table	table	NOUN
american_scientific_journal-5504	52	73	1	1	NUM
american_scientific_journal-5504	52	74	:	:	PUNCT
american_scientific_journal-5504	52	75	element	element	NOUN
american_scientific_journal-5504	52	76	values	value	NOUN
american_scientific_journal-5504	52	77	for	for	ADP
american_scientific_journal-5504	52	78	matrix	matrix	NOUN
american_scientific_journal-5504	52	79	matrix	matrix	NOUN
american_scientific_journal-5504	52	80	n	n	PRON
american_scientific_journal-5504	52	81	entry	entry	NOUN
american_scientific_journal-5504	52	82	matrix	matrix	NOUN
american_scientific_journal-5504	52	83	n	n	PRON
american_scientific_journal-5504	52	84	entry	entry	NOUN
american_scientific_journal-5504	52	85	value	value	NOUN
american_scientific_journal-5504	52	86	1	1	NUM
american_scientific_journal-5504	52	87	1	1	NUM
american_scientific_journal-5504	52	88	1	1	NUM
american_scientific_journal-5504	52	89	1	1	NUM
american_scientific_journal-5504	52	90	1	1	NUM
american_scientific_journal-5504	52	91	1	1	NUM
american_scientific_journal-5504	52	92	1	1	NUM
american_scientific_journal-5504	52	93	1	1	NUM
american_scientific_journal-5504	52	94	3	3	NUM
american_scientific_journal-5504	52	95	3	3	NUM
american_scientific_journal-5504	52	96	1	1	NUM
american_scientific_journal-5504	52	97	3	3	NUM
american_scientific_journal-5504	52	98	3	3	NUM
american_scientific_journal-5504	52	99	3	3	NUM
american_scientific_journal-5504	52	100	3	3	NUM
american_scientific_journal-5504	52	101	4	4	NUM
american_scientific_journal-5504	52	102	4	4	NUM
american_scientific_journal-5504	52	103	1	1	NUM
american_scientific_journal-5504	52	104	4	4	NUM
american_scientific_journal-5504	52	105	4	4	NUM
american_scientific_journal-5504	52	106	4	4	NUM
american_scientific_journal-5504	52	107	4	4	NUM
american_scientific_journal-5504	52	108	1	1	NUM
american_scientific_journal-5504	52	109	−	−	NUM
american_scientific_journal-5504	52	110	1	1	NUM
american_scientific_journal-5504	52	111	1	1	NUM
american_scientific_journal-5504	52	112	+	+	CCONJ
american_scientific_journal-5504	52	113	1	1	NUM
american_scientific_journal-5504	52	114	1	1	NUM
american_scientific_journal-5504	52	115	1	1	NUM
american_scientific_journal-5504	52	116	−	−	NUM
american_scientific_journal-5504	52	117	1	1	NUM
american_scientific_journal-5504	53	1	1	1	NUM
american_scientific_journal-5504	53	2	3	3	NUM
american_scientific_journal-5504	53	3	−	−	NOUN
american_scientific_journal-5504	54	1	+	+	CCONJ
american_scientific_journal-5504	54	2	1	1	NUM
american_scientific_journal-5504	54	3	3	3	NUM
american_scientific_journal-5504	54	4	3	3	NUM
american_scientific_journal-5504	54	5	−	−	NOUN
american_scientific_journal-5504	54	6	4	4	NUM
american_scientific_journal-5504	54	7	3	3	NUM
american_scientific_journal-5504	54	8	−	−	NOUN
american_scientific_journal-5504	54	9	3	3	NUM
american_scientific_journal-5504	54	10	3	3	NUM
american_scientific_journal-5504	54	11	+	+	CCONJ
american_scientific_journal-5504	54	12	1	1	NUM
american_scientific_journal-5504	54	13	4	4	NUM
american_scientific_journal-5504	54	14	3	3	NUM
american_scientific_journal-5504	54	15	4	4	NUM
american_scientific_journal-5504	54	16	3	3	NUM
american_scientific_journal-5504	54	17	−	−	NOUN
american_scientific_journal-5504	54	18	3	3	NUM
american_scientific_journal-5504	54	19	3	3	NUM
american_scientific_journal-5504	54	20	3	3	NUM
american_scientific_journal-5504	54	21	1	1	NUM
american_scientific_journal-5504	54	22	−1	−1	NOUN
american_scientific_journal-5504	54	23	1	1	NUM
american_scientific_journal-5504	54	24	1	1	NUM
american_scientific_journal-5504	54	25	+	+	CCONJ
american_scientific_journal-5504	54	26	−	−	NUM
american_scientific_journal-5504	54	27	1	1	NUM
american_scientific_journal-5504	55	1	+	+	CCONJ
american_scientific_journal-5504	55	2	1	1	NUM
american_scientific_journal-5504	55	3	3	3	NUM
american_scientific_journal-5504	55	4	1	1	NUM
american_scientific_journal-5504	55	5	3	3	NUM
american_scientific_journal-5504	55	6	1	1	NUM
american_scientific_journal-5504	55	7	−	−	NUM
american_scientific_journal-5504	55	8	1	1	NUM
american_scientific_journal-5504	55	9	−	−	NOUN
american_scientific_journal-5504	55	10	1	1	NUM
american_scientific_journal-5504	55	11	1	1	NUM
american_scientific_journal-5504	55	12	4	4	NUM
american_scientific_journal-5504	55	13	−1	−1	NOUN
american_scientific_journal-5504	55	14	+	+	CCONJ
american_scientific_journal-5504	55	15	−	−	PROPN
american_scientific_journal-5504	55	16	3	3	NUM
american_scientific_journal-5504	56	1	+	+	CCONJ
american_scientific_journal-5504	56	2	1	1	NUM
american_scientific_journal-5504	56	3	4	4	NUM
american_scientific_journal-5504	56	4	4	4	NUM
american_scientific_journal-5504	56	5	−	−	NOUN
american_scientific_journal-5504	56	6	3	3	NUM
american_scientific_journal-5504	56	7	−	−	NOUN
american_scientific_journal-5504	56	8	4	4	NUM
american_scientific_journal-5504	56	9	1	1	NUM
american_scientific_journal-5504	56	10	1	1	NUM
american_scientific_journal-5504	56	11	1	1	NUM
american_scientific_journal-5504	56	12	+	+	NUM
american_scientific_journal-5504	56	13	−1	−1	NOUN
american_scientific_journal-5504	56	14	1	1	NUM
american_scientific_journal-5504	56	15	+	+	CCONJ
american_scientific_journal-5504	56	16	−	−	NUM
american_scientific_journal-5504	56	17	3	3	NUM
american_scientific_journal-5504	56	18	1	1	NUM
american_scientific_journal-5504	56	19	+	+	CCONJ
american_scientific_journal-5504	56	20	1	1	NUM
american_scientific_journal-5504	56	21	4	4	NUM
american_scientific_journal-5504	56	22	1	1	NUM
american_scientific_journal-5504	56	23	4	4	NUM
american_scientific_journal-5504	56	24	1	1	NUM
american_scientific_journal-5504	56	25	−	−	NUM
american_scientific_journal-5504	56	26	3	3	NUM
american_scientific_journal-5504	56	27	1	1	NUM
american_scientific_journal-5504	56	28	−	−	NUM
american_scientific_journal-5504	56	29	1	1	NUM
american_scientific_journal-5504	56	30	−	−	NOUN
american_scientific_journal-5504	56	31	−	−	NUM
american_scientific_journal-5504	56	32	1	1	NUM
american_scientific_journal-5504	56	33	−	−	NOUN
american_scientific_journal-5504	56	34	then	then	ADV
american_scientific_journal-5504	56	35	paying	pay	VERB
american_scientific_journal-5504	56	36	attention	attention	NOUN
american_scientific_journal-5504	56	37	to	to	ADP
american_scientific_journal-5504	56	38	each	each	DET
american_scientific_journal-5504	56	39	step	step	NOUN
american_scientific_journal-5504	56	40	of	of	ADP
american_scientific_journal-5504	56	41	table	table	NOUN
american_scientific_journal-5504	56	42	1	1	NUM
american_scientific_journal-5504	56	43	by	by	ADP
american_scientific_journal-5504	56	44	paying	pay	VERB
american_scientific_journal-5504	56	45	attention	attention	NOUN
american_scientific_journal-5504	56	46	to	to	ADP
american_scientific_journal-5504	56	47	each	each	DET
american_scientific_journal-5504	56	48	matrix	matrix	NOUN
american_scientific_journal-5504	56	49	entry	entry	NOUN
american_scientific_journal-5504	56	50	and	and	CCONJ
american_scientific_journal-5504	56	51	the	the	DET
american_scientific_journal-5504	56	52	matrix	matrix	NOUN
american_scientific_journal-5504	56	53	value	value	NOUN
american_scientific_journal-5504	56	54	,	,	PUNCT
american_scientific_journal-5504	56	55	obtained	obtain	VERB
american_scientific_journal-5504	56	56	definition	definition	NOUN
american_scientific_journal-5504	56	57	7	7	NUM
american_scientific_journal-5504	56	58	can	can	AUX
american_scientific_journal-5504	56	59	be	be	AUX
american_scientific_journal-5504	56	60	stated	state	VERB
american_scientific_journal-5504	56	61	.	.	PUNCT
american_scientific_journal-5504	57	1	definition7for	definition7for	ADP
american_scientific_journal-5504	57	2	each	each	DET
american_scientific_journal-5504	57	3	natural	natural	ADJ
american_scientific_journal-5504	57	4	number	number	NOUN
american_scientific_journal-5504	57	5	n	n	CCONJ
american_scientific_journal-5504	57	6	,	,	PUNCT
american_scientific_journal-5504	57	7	the	the	DET
american_scientific_journal-5504	57	8	matrix	matrix	NOUN
american_scientific_journal-5504	57	9	whose	whose	DET
american_scientific_journal-5504	57	10	order	order	NOUN
american_scientific_journal-5504	57	11	is	be	AUX
american_scientific_journal-5504	57	12	n	n	ADV
american_scientific_journal-5504	57	13	x	x	SYM
american_scientific_journal-5504	57	14	n	n	NOUN
american_scientific_journal-5504	57	15	with	with	ADP
american_scientific_journal-5504	57	16	each	each	DET
american_scientific_journal-5504	57	17	entry	entry	NOUN
american_scientific_journal-5504	57	18	[	[	PUNCT
american_scientific_journal-5504	57	19	]	]	X
american_scientific_journal-5504	57	20	,	,	PUNCT
american_scientific_journal-5504	57	21	for	for	ADP
american_scientific_journal-5504	57	22	each	each	DET
american_scientific_journal-5504	57	23	1	1	NUM
american_scientific_journal-5504	57	24	3	3	NUM
american_scientific_journal-5504	57	25	,	,	PUNCT
american_scientific_journal-5504	57	26	isdefined	isdefine	VERB
american_scientific_journal-5504	57	27	as	as	ADP
american_scientific_journal-5504	57	28	−	−	PROPN
american_scientific_journal-5504	57	29	1	1	NUM
american_scientific_journal-5504	57	30	−	−	NOUN
american_scientific_journal-5504	57	31	7	7	NUM
american_scientific_journal-5504	57	32	from	from	ADP
american_scientific_journal-5504	57	33	equation	equation	NOUN
american_scientific_journal-5504	57	34	(	(	PUNCT
american_scientific_journal-5504	57	35	7	7	X
american_scientific_journal-5504	57	36	)	)	PUNCT
american_scientific_journal-5504	57	37	we	we	PRON
american_scientific_journal-5504	57	38	get	get	VERB
american_scientific_journal-5504	57	39	the	the	DET
american_scientific_journal-5504	57	40	value	value	NOUN
american_scientific_journal-5504	57	41	of	of	ADP
american_scientific_journal-5504	57	42	1	1	NUM
american_scientific_journal-5504	57	43	1	1	NUM
american_scientific_journal-5504	57	44	1	1	NUM
american_scientific_journal-5504	57	45	,	,	PUNCT
american_scientific_journal-5504	57	46	1	1	NUM
american_scientific_journal-5504	57	47	for	for	ADP
american_scientific_journal-5504	57	48	each	each	DET
american_scientific_journal-5504	57	49	,	,	PUNCT
american_scientific_journal-5504	57	50	1	1	NUM
american_scientific_journal-5504	57	51	−	−	NUM
american_scientific_journal-5504	57	52	1	1	NUM
american_scientific_journal-5504	57	53	1	1	NUM
american_scientific_journal-5504	57	54	,	,	PUNCT
american_scientific_journal-5504	57	55	,	,	PUNCT
american_scientific_journal-5504	57	56	for	for	ADP
american_scientific_journal-5504	57	57	each	each	DET
american_scientific_journal-5504	57	58	3	3	NUM
american_scientific_journal-5504	57	59	,	,	PUNCT
american_scientific_journal-5504	57	60	and	and	CCONJ
american_scientific_journal-5504	57	61	for	for	ADP
american_scientific_journal-5504	57	62	each	each	DET
american_scientific_journal-5504	57	63	−	−	PROPN
american_scientific_journal-5504	57	64	-1	-1	NOUN
american_scientific_journal-5504	57	65	−	−	PROPN
american_scientific_journal-5504	57	66	.	.	PUNCT
american_scientific_journal-5504	58	1	based	base	VERB
american_scientific_journal-5504	58	2	on	on	ADP
american_scientific_journal-5504	58	3	the	the	DET
american_scientific_journal-5504	58	4	definition	definition	NOUN
american_scientific_journal-5504	58	5	of	of	ADP
american_scientific_journal-5504	58	6	the	the	DET
american_scientific_journal-5504	58	7	matrix	matrix	NOUN
american_scientific_journal-5504	58	8	in	in	ADP
american_scientific_journal-5504	58	9	equation	equation	NOUN
american_scientific_journal-5504	58	10	7	7	NUM
american_scientific_journal-5504	58	11	the	the	DET
american_scientific_journal-5504	58	12	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	58	13	polynomial	polynomial	ADJ
american_scientific_journal-5504	58	14	matrix	matrix	NOUN
american_scientific_journal-5504	58	15	in	in	ADP
american_scientific_journal-5504	58	16	equation	equation	NOUN
american_scientific_journal-5504	58	17	(	(	PUNCT
american_scientific_journal-5504	58	18	2	2	NUM
american_scientific_journal-5504	58	19	)	)	PUNCT
american_scientific_journal-5504	58	20	and	and	CCONJ
american_scientific_journal-5504	58	21	the	the	DET
american_scientific_journal-5504	58	22	k	k	PROPN
american_scientific_journal-5504	58	23	-	-	PUNCT
american_scientific_journal-5504	58	24	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	58	25	matrix	matrix	NOUN
american_scientific_journal-5504	58	26	in	in	ADP
american_scientific_journal-5504	58	27	equation	equation	NOUN
american_scientific_journal-5504	58	28	(	(	PUNCT
american_scientific_journal-5504	58	29	4	4	X
american_scientific_journal-5504	58	30	)	)	PUNCT
american_scientific_journal-5504	58	31	theorem	theorem	NOUN
american_scientific_journal-5504	58	32	8	8	NUM
american_scientific_journal-5504	58	33	can	can	AUX
american_scientific_journal-5504	58	34	be	be	AUX
american_scientific_journal-5504	58	35	stated	state	VERB
american_scientific_journal-5504	58	36	.	.	PUNCT
american_scientific_journal-5504	59	1	theorem8	theorem8	PROPN
american_scientific_journal-5504	59	2	bell	bell	PROPN
american_scientific_journal-5504	59	3	's	's	PART
american_scientific_journal-5504	59	4	polynomial	polynomial	ADJ
american_scientific_journal-5504	59	5	matrix	matrix	NOUN
american_scientific_journal-5504	59	6	can	can	AUX
american_scientific_journal-5504	59	7	be	be	AUX
american_scientific_journal-5504	59	8	grouped	group	VERB
american_scientific_journal-5504	59	9	into	into	ADP
american_scientific_journal-5504	59	10	.	.	PUNCT
american_scientific_journal-5504	60	1	american	american	ADJ
american_scientific_journal-5504	60	2	scientific	scientific	ADJ
american_scientific_journal-5504	60	3	research	research	PROPN
american_scientific_journal-5504	60	4	journal	journal	NOUN
american_scientific_journal-5504	60	5	for	for	ADP
american_scientific_journal-5504	60	6	engineering	engineering	NOUN
american_scientific_journal-5504	60	7	,	,	PUNCT
american_scientific_journal-5504	60	8	technology	technology	NOUN
american_scientific_journal-5504	60	9	,	,	PUNCT
american_scientific_journal-5504	60	10	and	and	CCONJ
american_scientific_journal-5504	60	11	sciences	science	NOUN
american_scientific_journal-5504	60	12	(	(	PUNCT
american_scientific_journal-5504	60	13	asrjets	asrjet	NOUN
american_scientific_journal-5504	60	14	)	)	PUNCT
american_scientific_journal-5504	60	15	(	(	PUNCT
american_scientific_journal-5504	60	16	2020	2020	NUM
american_scientific_journal-5504	60	17	)	)	PUNCT
american_scientific_journal-5504	60	18	volume	volume	NOUN
american_scientific_journal-5504	60	19	65	65	NUM
american_scientific_journal-5504	60	20	,	,	PUNCT
american_scientific_journal-5504	60	21	no	no	DET
american_scientific_journal-5504	60	22	1	1	NUM
american_scientific_journal-5504	60	23	,	,	PUNCT
american_scientific_journal-5504	60	24	pp	pp	ADV
american_scientific_journal-5504	60	25	29	29	NUM
american_scientific_journal-5504	60	26	-	-	SYM
american_scientific_journal-5504	60	27	38	38	NUM
american_scientific_journal-5504	60	28	35	35	NUM
american_scientific_journal-5504	60	29	proof	proof	NOUN
american_scientific_journal-5504	60	30	.	.	PUNCT
american_scientific_journal-5504	61	1	since	since	SCONJ
american_scientific_journal-5504	61	2	the	the	DET
american_scientific_journal-5504	61	3	k	k	PROPN
american_scientific_journal-5504	61	4	-	-	PUNCT
american_scientific_journal-5504	61	5	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	61	6	matrix	matrix	NOUN
american_scientific_journal-5504	61	7	has	have	VERB
american_scientific_journal-5504	61	8	an	an	DET
american_scientific_journal-5504	61	9	inverse	inverse	NOUN
american_scientific_journal-5504	61	10	,	,	PUNCT
american_scientific_journal-5504	61	11	it	it	PRON
american_scientific_journal-5504	61	12	can	can	AUX
american_scientific_journal-5504	61	13	be	be	AUX
american_scientific_journal-5504	61	14	proven	prove	VERB
american_scientific_journal-5504	61	15	that	that	SCONJ
american_scientific_journal-5504	61	16	1	1	NUM
american_scientific_journal-5504	61	17	8	8	NUM
american_scientific_journal-5504	61	18	let	let	AUX
american_scientific_journal-5504	61	19	be	be	AUX
american_scientific_journal-5504	61	20	the	the	DET
american_scientific_journal-5504	61	21	inverse	inverse	NOUN
american_scientific_journal-5504	61	22	of	of	ADP
american_scientific_journal-5504	61	23	the	the	DET
american_scientific_journal-5504	61	24	k	k	PROPN
american_scientific_journal-5504	61	25	-	-	PUNCT
american_scientific_journal-5504	61	26	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	61	27	matrix	matrix	NOUN
american_scientific_journal-5504	61	28	defined	define	VERB
american_scientific_journal-5504	61	29	in	in	ADP
american_scientific_journal-5504	61	30	equation	equation	NOUN
american_scientific_journal-5504	61	31	(	(	PUNCT
american_scientific_journal-5504	61	32	5	5	NUM
american_scientific_journal-5504	61	33	)	)	PUNCT
american_scientific_journal-5504	61	34	obtained	obtain	VERB
american_scientific_journal-5504	61	35	by	by	ADP
american_scientific_journal-5504	61	36	the	the	DET
american_scientific_journal-5504	61	37	main	main	ADJ
american_scientific_journal-5504	61	38	diagonal	diagonal	NOUN
american_scientific_journal-5504	61	39	of	of	ADP
american_scientific_journal-5504	61	40	the	the	DET
american_scientific_journal-5504	61	41	inverse	inverse	NOUN
american_scientific_journal-5504	61	42	matrix	matrix	NOUN
american_scientific_journal-5504	61	43	1	1	NUM
american_scientific_journal-5504	61	44	1	1	NUM
american_scientific_journal-5504	61	45	then	then	ADV
american_scientific_journal-5504	61	46	based	base	VERB
american_scientific_journal-5504	61	47	on	on	ADP
american_scientific_journal-5504	61	48	the	the	DET
american_scientific_journal-5504	61	49	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	61	50	polynomial	polynomial	ADJ
american_scientific_journal-5504	61	51	matrix	matrix	NOUN
american_scientific_journal-5504	61	52	in	in	ADP
american_scientific_journal-5504	61	53	equation	equation	NOUN
american_scientific_journal-5504	61	54	the	the	DET
american_scientific_journal-5504	61	55	main	main	ADJ
american_scientific_journal-5504	61	56	diagonalmatrix	diagonalmatrix	NOUN
american_scientific_journal-5504	61	57	is	be	AUX
american_scientific_journal-5504	61	58	obtained	obtain	VERB
american_scientific_journal-5504	61	59	.	.	PUNCT
american_scientific_journal-5504	62	1	by	by	ADP
american_scientific_journal-5504	62	2	paying	pay	VERB
american_scientific_journal-5504	62	3	attention	attention	NOUN
american_scientific_journal-5504	62	4	to	to	ADP
american_scientific_journal-5504	62	5	the	the	DET
american_scientific_journal-5504	62	6	left	left	ADJ
american_scientific_journal-5504	62	7	-	-	PUNCT
american_scientific_journal-5504	62	8	hand	hand	NOUN
american_scientific_journal-5504	62	9	side	side	NOUN
american_scientific_journal-5504	62	10	of	of	ADP
american_scientific_journal-5504	62	11	equation	equation	NOUN
american_scientific_journal-5504	62	12	(	(	PUNCT
american_scientific_journal-5504	62	13	7	7	NUM
american_scientific_journal-5504	62	14	)	)	PUNCT
american_scientific_journal-5504	62	15	,	,	PUNCT
american_scientific_journal-5504	62	16	if	if	SCONJ
american_scientific_journal-5504	62	17	then	then	ADV
american_scientific_journal-5504	62	18	1	1	NUM
american_scientific_journal-5504	62	19	and	and	CCONJ
american_scientific_journal-5504	62	20	if	if	SCONJ
american_scientific_journal-5504	62	21	then	then	ADV
american_scientific_journal-5504	62	22	.	.	PUNCT
american_scientific_journal-5504	63	1	so	so	ADV
american_scientific_journal-5504	63	2	for	for	ADP
american_scientific_journal-5504	63	3	based	base	VERB
american_scientific_journal-5504	63	4	on	on	ADP
american_scientific_journal-5504	63	5	equation	equation	NOUN
american_scientific_journal-5504	63	6	(	(	PUNCT
american_scientific_journal-5504	63	7	5	5	NUM
american_scientific_journal-5504	63	8	)	)	PUNCT
american_scientific_journal-5504	63	9	and	and	CCONJ
american_scientific_journal-5504	63	10	equation	equation	NOUN
american_scientific_journal-5504	63	11	(	(	PUNCT
american_scientific_journal-5504	63	12	2	2	X
american_scientific_journal-5504	63	13	)	)	PUNCT
american_scientific_journal-5504	63	14	the	the	DET
american_scientific_journal-5504	63	15	values	value	NOUN
american_scientific_journal-5504	63	16	of	of	ADP
american_scientific_journal-5504	63	17	can	can	AUX
american_scientific_journal-5504	63	18	be	be	AUX
american_scientific_journal-5504	63	19	evaluated	evaluate	VERB
american_scientific_journal-5504	63	20	as	as	SCONJ
american_scientific_journal-5504	63	21	follows	follow	VERB
american_scientific_journal-5504	63	22	:	:	PUNCT
american_scientific_journal-5504	63	23	+	+	NUM
american_scientific_journal-5504	63	24	1	1	NUM
american_scientific_journal-5504	63	25	1	1	NUM
american_scientific_journal-5504	63	26	+	+	CCONJ
american_scientific_journal-5504	63	27	+	+	CCONJ
american_scientific_journal-5504	63	28	3	3	NUM
american_scientific_journal-5504	63	29	3	3	NUM
american_scientific_journal-5504	63	30	+	+	NUM
american_scientific_journal-5504	63	31	⋯+	⋯+	NOUN
american_scientific_journal-5504	63	32	∑	∑	ADV
american_scientific_journal-5504	63	33	so	so	ADV
american_scientific_journal-5504	63	34	1	1	NUM
american_scientific_journal-5504	63	35	is	be	AUX
american_scientific_journal-5504	63	36	obtained	obtain	VERB
american_scientific_journal-5504	63	37	.	.	PUNCT
american_scientific_journal-5504	64	1	furthermore	furthermore	ADV
american_scientific_journal-5504	64	2	,	,	PUNCT
american_scientific_journal-5504	64	3	from	from	ADP
american_scientific_journal-5504	64	4	the	the	DET
american_scientific_journal-5504	64	5	definition	definition	NOUN
american_scientific_journal-5504	64	6	of	of	ADP
american_scientific_journal-5504	64	7	the	the	DET
american_scientific_journal-5504	64	8	matrix	matrix	NOUN
american_scientific_journal-5504	64	9	in	in	ADP
american_scientific_journal-5504	64	10	equation	equation	NOUN
american_scientific_journal-5504	64	11	7	7	NUM
american_scientific_journal-5504	64	12	the	the	DET
american_scientific_journal-5504	64	13	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	64	14	polynomial	polynomial	ADJ
american_scientific_journal-5504	64	15	matrix	matrix	NOUN
american_scientific_journal-5504	64	16	in	in	ADP
american_scientific_journal-5504	64	17	equation	equation	NOUN
american_scientific_journal-5504	64	18	(	(	PUNCT
american_scientific_journal-5504	64	19	2	2	NUM
american_scientific_journal-5504	64	20	)	)	PUNCT
american_scientific_journal-5504	64	21	and	and	CCONJ
american_scientific_journal-5504	64	22	the	the	DET
american_scientific_journal-5504	64	23	k	k	PROPN
american_scientific_journal-5504	64	24	-	-	PUNCT
american_scientific_journal-5504	64	25	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	64	26	matrix	matrix	NOUN
american_scientific_journal-5504	64	27	in	in	ADP
american_scientific_journal-5504	64	28	equation	equation	NOUN
american_scientific_journal-5504	64	29	(	(	PUNCT
american_scientific_journal-5504	64	30	4	4	NUM
american_scientific_journal-5504	64	31	)	)	PUNCT
american_scientific_journal-5504	64	32	,	,	PUNCT
american_scientific_journal-5504	64	33	3.2	3.2	NUM
american_scientific_journal-5504	64	34	.	.	PUNCT
american_scientific_journal-5504	65	1	the	the	DET
american_scientific_journal-5504	65	2	second	second	ADJ
american_scientific_journal-5504	65	3	relationship	relationship	NOUN
american_scientific_journal-5504	65	4	for	for	ADP
american_scientific_journal-5504	65	5	the	the	DET
american_scientific_journal-5504	65	6	bell	bell	NOUN
american_scientific_journal-5504	65	7	’s	’s	PART
american_scientific_journal-5504	65	8	polynomial	polynomial	ADJ
american_scientific_journal-5504	65	9	matrix	matrix	NOUN
american_scientific_journal-5504	65	10	and	and	CCONJ
american_scientific_journal-5504	65	11	the	the	DET
american_scientific_journal-5504	65	12	k	k	PROPN
american_scientific_journal-5504	65	13	-	-	PUNCT
american_scientific_journal-5504	65	14	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	65	15	matrix	matrix	NOUN
american_scientific_journal-5504	65	16	based	base	VERB
american_scientific_journal-5504	65	17	on	on	ADP
american_scientific_journal-5504	65	18	the	the	DET
american_scientific_journal-5504	65	19	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	65	20	polynomial	polynomial	ADJ
american_scientific_journal-5504	65	21	matrix	matrix	NOUN
american_scientific_journal-5504	65	22	in	in	ADP
american_scientific_journal-5504	65	23	equation	equation	NOUN
american_scientific_journal-5504	65	24	and	and	CCONJ
american_scientific_journal-5504	65	25	the	the	DET
american_scientific_journal-5504	65	26	inverseofk	inverseofk	NOUN
american_scientific_journal-5504	65	27	-	-	PUNCT
american_scientific_journal-5504	65	28	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	65	29	matrix	matrix	NOUN
american_scientific_journal-5504	65	30	in	in	ADP
american_scientific_journal-5504	65	31	equation	equation	NOUN
american_scientific_journal-5504	65	32	(	(	PUNCT
american_scientific_journal-5504	65	33	5	5	NUM
american_scientific_journal-5504	65	34	)	)	PUNCT
american_scientific_journal-5504	65	35	,	,	PUNCT
american_scientific_journal-5504	65	36	for	for	ADP
american_scientific_journal-5504	65	37	n	n	PRON
american_scientific_journal-5504	65	38	multiplying	multiply	VERB
american_scientific_journal-5504	65	39	the	the	DET
american_scientific_journal-5504	65	40	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	65	41	polynomial	polynomial	ADJ
american_scientific_journal-5504	65	42	matrix	matrix	NOUN
american_scientific_journal-5504	65	43	and	and	CCONJ
american_scientific_journal-5504	65	44	the	the	DET
american_scientific_journal-5504	65	45	inverse	inverse	ADJ
american_scientific_journal-5504	65	46	k	k	PROPN
american_scientific_journal-5504	65	47	-	-	PUNCT
american_scientific_journal-5504	65	48	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	65	49	matrix	matrix	NOUN
american_scientific_journal-5504	65	50	1	1	NUM
american_scientific_journal-5504	65	51	yields	yield	NOUN
american_scientific_journal-5504	65	52	1	1	NUM
american_scientific_journal-5504	65	53	[	[	PUNCT
american_scientific_journal-5504	65	54	1	1	NUM
american_scientific_journal-5504	65	55	1	1	NUM
american_scientific_journal-5504	65	56	]	]	PUNCT
american_scientific_journal-5504	65	57	*	*	PUNCT
american_scientific_journal-5504	65	58	1	1	NUM
american_scientific_journal-5504	65	59	−	−	NUM
american_scientific_journal-5504	65	60	1	1	NUM
american_scientific_journal-5504	65	61	+	+	CCONJ
american_scientific_journal-5504	65	62	thus	thus	ADV
american_scientific_journal-5504	65	63	,	,	PUNCT
american_scientific_journal-5504	65	64	the	the	DET
american_scientific_journal-5504	65	65	product	product	NOUN
american_scientific_journal-5504	65	66	of	of	ADP
american_scientific_journal-5504	65	67	1	1	NUM
american_scientific_journal-5504	65	68	is	be	AUX
american_scientific_journal-5504	65	69	expressed	express	VERB
american_scientific_journal-5504	65	70	as	as	ADP
american_scientific_journal-5504	65	71	a	a	DET
american_scientific_journal-5504	65	72	matrix	matrix	NOUN
american_scientific_journal-5504	65	73	,	,	PUNCT
american_scientific_journal-5504	65	74	so	so	CCONJ
american_scientific_journal-5504	65	75	matrix	matrix	NOUN
american_scientific_journal-5504	65	76	is	be	AUX
american_scientific_journal-5504	65	77	obtained	obtain	VERB
american_scientific_journal-5504	65	78	as	as	SCONJ
american_scientific_journal-5504	65	79	follows	follow	VERB
american_scientific_journal-5504	65	80	:	:	PUNCT
american_scientific_journal-5504	65	81	[	[	PUNCT
american_scientific_journal-5504	65	82	1	1	NUM
american_scientific_journal-5504	65	83	−	−	NUM
american_scientific_journal-5504	65	84	1	1	NUM
american_scientific_journal-5504	65	85	1	1	NUM
american_scientific_journal-5504	65	86	]	]	PUNCT
american_scientific_journal-5504	65	87	furthermore	furthermore	ADV
american_scientific_journal-5504	65	88	,	,	PUNCT
american_scientific_journal-5504	65	89	for	for	ADP
american_scientific_journal-5504	65	90	n	n	NOUN
american_scientific_journal-5504	65	91	=	=	SYM
american_scientific_journal-5504	65	92	3	3	NUM
american_scientific_journal-5504	65	93	multiplying	multiply	VERB
american_scientific_journal-5504	65	94	the	the	DET
american_scientific_journal-5504	65	95	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	65	96	polynomial	polynomial	ADJ
american_scientific_journal-5504	65	97	matrix	matrix	NOUN
american_scientific_journal-5504	65	98	3	3	NUM
american_scientific_journal-5504	65	99	and	and	CCONJ
american_scientific_journal-5504	65	100	inverse	inverse	ADJ
american_scientific_journal-5504	65	101	k	k	PROPN
american_scientific_journal-5504	65	102	-	-	PUNCT
american_scientific_journal-5504	65	103	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	65	104	matrix	matrix	NOUN
american_scientific_journal-5504	65	105	3	3	NUM
american_scientific_journal-5504	65	106	1	1	NUM
american_scientific_journal-5504	65	107	gives	give	VERB
american_scientific_journal-5504	65	108	3	3	NUM
american_scientific_journal-5504	65	109	3	3	NUM
american_scientific_journal-5504	65	110	1	1	NUM
american_scientific_journal-5504	65	111	[	[	PUNCT
american_scientific_journal-5504	65	112	1	1	NUM
american_scientific_journal-5504	65	113	1	1	NUM
american_scientific_journal-5504	65	114	3	3	NUM
american_scientific_journal-5504	65	115	3	3	NUM
american_scientific_journal-5504	65	116	1	1	NUM
american_scientific_journal-5504	65	117	1	1	NUM
american_scientific_journal-5504	65	118	3	3	NUM
american_scientific_journal-5504	65	119	]	]	PUNCT
american_scientific_journal-5504	65	120	[	[	PUNCT
american_scientific_journal-5504	65	121	1	1	NUM
american_scientific_journal-5504	65	122	−	−	NUM
american_scientific_journal-5504	65	123	1	1	NUM
american_scientific_journal-5504	65	124	−1	−1	NOUN
american_scientific_journal-5504	65	125	−	−	PROPN
american_scientific_journal-5504	65	126	]	]	PUNCT
american_scientific_journal-5504	66	1	thus	thus	ADV
american_scientific_journal-5504	66	2	,	,	PUNCT
american_scientific_journal-5504	66	3	the	the	DET
american_scientific_journal-5504	66	4	product	product	NOUN
american_scientific_journal-5504	66	5	of	of	ADP
american_scientific_journal-5504	66	6	3	3	NUM
american_scientific_journal-5504	66	7	3	3	NUM
american_scientific_journal-5504	66	8	1	1	NUM
american_scientific_journal-5504	66	9	is	be	AUX
american_scientific_journal-5504	66	10	expressed	express	VERB
american_scientific_journal-5504	66	11	as	as	ADP
american_scientific_journal-5504	66	12	a	a	DET
american_scientific_journal-5504	66	13	matrix	matrix	NOUN
american_scientific_journal-5504	66	14	3	3	NUM
american_scientific_journal-5504	66	15	,	,	PUNCT
american_scientific_journal-5504	66	16	so	so	ADV
american_scientific_journal-5504	66	17	matrix	matrix	NOUN
american_scientific_journal-5504	66	18	3	3	NUM
american_scientific_journal-5504	66	19	is	be	AUX
american_scientific_journal-5504	66	20	obtained	obtain	VERB
american_scientific_journal-5504	66	21	as	as	ADP
american_scientific_journal-5504	66	22	follows	follow	VERB
american_scientific_journal-5504	66	23	:	:	PUNCT
american_scientific_journal-5504	66	24	4	4	NUM
american_scientific_journal-5504	66	25	[	[	SYM
american_scientific_journal-5504	66	26	1	1	NUM
american_scientific_journal-5504	66	27	−	−	NUM
american_scientific_journal-5504	66	28	1	1	NUM
american_scientific_journal-5504	66	29	1	1	NUM
american_scientific_journal-5504	66	30	3	3	NUM
american_scientific_journal-5504	66	31	−	−	NOUN
american_scientific_journal-5504	66	32	3	3	NUM
american_scientific_journal-5504	66	33	1	1	NUM
american_scientific_journal-5504	66	34	−	−	NUM
american_scientific_journal-5504	66	35	1	1	NUM
american_scientific_journal-5504	66	36	3	3	NUM
american_scientific_journal-5504	66	37	3	3	NUM
american_scientific_journal-5504	66	38	1	1	NUM
american_scientific_journal-5504	66	39	−	−	NUM
american_scientific_journal-5504	66	40	1	1	NUM
american_scientific_journal-5504	66	41	3	3	NUM
american_scientific_journal-5504	66	42	1	1	NUM
american_scientific_journal-5504	66	43	3	3	NUM
american_scientific_journal-5504	66	44	]	]	PUNCT
american_scientific_journal-5504	66	45	furthermore	furthermore	ADV
american_scientific_journal-5504	66	46	,	,	PUNCT
american_scientific_journal-5504	66	47	for	for	ADP
american_scientific_journal-5504	66	48	n	n	NOUN
american_scientific_journal-5504	66	49	=	=	SYM
american_scientific_journal-5504	66	50	4	4	NUM
american_scientific_journal-5504	66	51	by	by	ADP
american_scientific_journal-5504	66	52	multiplying	multiply	VERB
american_scientific_journal-5504	66	53	the	the	DET
american_scientific_journal-5504	66	54	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	66	55	polynomial	polynomial	ADJ
american_scientific_journal-5504	66	56	matrix	matrix	NOUN
american_scientific_journal-5504	66	57	4and	4and	NOUN
american_scientific_journal-5504	66	58	the	the	DET
american_scientific_journal-5504	66	59	inverse	inverse	ADJ
american_scientific_journal-5504	66	60	k	k	PROPN
american_scientific_journal-5504	66	61	-	-	PUNCT
american_scientific_journal-5504	66	62	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	66	63	matrix	matrix	NOUN
american_scientific_journal-5504	66	64	4	4	NUM
american_scientific_journal-5504	66	65	1	1	NUM
american_scientific_journal-5504	66	66	american	american	ADJ
american_scientific_journal-5504	66	67	scientific	scientific	ADJ
american_scientific_journal-5504	66	68	research	research	NOUN
american_scientific_journal-5504	66	69	journal	journal	NOUN
american_scientific_journal-5504	66	70	for	for	ADP
american_scientific_journal-5504	66	71	engineering	engineering	NOUN
american_scientific_journal-5504	66	72	,	,	PUNCT
american_scientific_journal-5504	66	73	technology	technology	NOUN
american_scientific_journal-5504	66	74	,	,	PUNCT
american_scientific_journal-5504	66	75	and	and	CCONJ
american_scientific_journal-5504	66	76	sciences	science	NOUN
american_scientific_journal-5504	66	77	(	(	PUNCT
american_scientific_journal-5504	66	78	asrjets	asrjet	NOUN
american_scientific_journal-5504	66	79	)	)	PUNCT
american_scientific_journal-5504	66	80	(	(	PUNCT
american_scientific_journal-5504	66	81	2020	2020	NUM
american_scientific_journal-5504	66	82	)	)	PUNCT
american_scientific_journal-5504	66	83	volume	volume	NOUN
american_scientific_journal-5504	66	84	65	65	NUM
american_scientific_journal-5504	66	85	,	,	PUNCT
american_scientific_journal-5504	66	86	no	no	DET
american_scientific_journal-5504	66	87	1	1	NUM
american_scientific_journal-5504	66	88	,	,	PUNCT
american_scientific_journal-5504	66	89	pp	pp	ADV
american_scientific_journal-5504	66	90	29	29	NUM
american_scientific_journal-5504	66	91	-	-	SYM
american_scientific_journal-5504	66	92	38	38	NUM
american_scientific_journal-5504	66	93	36	36	NUM
american_scientific_journal-5504	66	94	produces	produce	VERB
american_scientific_journal-5504	66	95	4	4	NUM
american_scientific_journal-5504	66	96	4	4	NUM
american_scientific_journal-5504	66	97	1	1	NUM
american_scientific_journal-5504	66	98	[	[	PUNCT
american_scientific_journal-5504	66	99	1	1	NUM
american_scientific_journal-5504	66	100	1	1	NUM
american_scientific_journal-5504	66	101	3	3	NUM
american_scientific_journal-5504	66	102	3	3	NUM
american_scientific_journal-5504	66	103	1	1	NUM
american_scientific_journal-5504	66	104	1	1	NUM
american_scientific_journal-5504	66	105	3	3	NUM
american_scientific_journal-5504	66	106	4	4	NUM
american_scientific_journal-5504	66	107	4	4	NUM
american_scientific_journal-5504	66	108	1	1	NUM
american_scientific_journal-5504	66	109	3	3	NUM
american_scientific_journal-5504	66	110	+	+	CCONJ
american_scientific_journal-5504	66	111	3	3	NUM
american_scientific_journal-5504	66	112	6	6	NUM
american_scientific_journal-5504	66	113	1	1	NUM
american_scientific_journal-5504	66	114	1	1	NUM
american_scientific_journal-5504	66	115	4	4	NUM
american_scientific_journal-5504	66	116	]	]	PUNCT
american_scientific_journal-5504	66	117	[	[	PUNCT
american_scientific_journal-5504	66	118	1	1	NUM
american_scientific_journal-5504	66	119	−	−	NUM
american_scientific_journal-5504	66	120	1	1	NUM
american_scientific_journal-5504	66	121	−1	−1	NOUN
american_scientific_journal-5504	66	122	−	−	NOUN
american_scientific_journal-5504	66	123	1	1	NUM
american_scientific_journal-5504	66	124	−1	−1	NOUN
american_scientific_journal-5504	66	125	−	−	NOUN
american_scientific_journal-5504	66	126	1	1	NUM
american_scientific_journal-5504	66	127	]	]	PUNCT
american_scientific_journal-5504	66	128	thus	thus	ADV
american_scientific_journal-5504	66	129	,	,	PUNCT
american_scientific_journal-5504	66	130	the	the	DET
american_scientific_journal-5504	66	131	product	product	NOUN
american_scientific_journal-5504	66	132	of	of	ADP
american_scientific_journal-5504	66	133	4	4	NUM
american_scientific_journal-5504	66	134	4	4	NUM
american_scientific_journal-5504	66	135	1	1	NUM
american_scientific_journal-5504	66	136	is	be	AUX
american_scientific_journal-5504	66	137	expressed	express	VERB
american_scientific_journal-5504	66	138	as	as	ADP
american_scientific_journal-5504	66	139	a	a	DET
american_scientific_journal-5504	66	140	matrix	matrix	NOUN
american_scientific_journal-5504	66	141	4	4	NUM
american_scientific_journal-5504	66	142	,	,	PUNCT
american_scientific_journal-5504	66	143	so	so	ADV
american_scientific_journal-5504	66	144	a	a	DET
american_scientific_journal-5504	66	145	matrix	matrix	NOUN
american_scientific_journal-5504	66	146	4	4	NUM
american_scientific_journal-5504	66	147	is	be	AUX
american_scientific_journal-5504	66	148	obtained	obtain	VERB
american_scientific_journal-5504	66	149	as	as	SCONJ
american_scientific_journal-5504	66	150	follows	follow	VERB
american_scientific_journal-5504	66	151	:	:	PUNCT
american_scientific_journal-5504	66	152	4	4	NUM
american_scientific_journal-5504	66	153	[	[	SYM
american_scientific_journal-5504	66	154	1	1	NUM
american_scientific_journal-5504	66	155	−	−	NUM
american_scientific_journal-5504	66	156	1	1	NUM
american_scientific_journal-5504	66	157	1	1	NUM
american_scientific_journal-5504	66	158	3	3	NUM
american_scientific_journal-5504	66	159	−	−	NOUN
american_scientific_journal-5504	66	160	3	3	NUM
american_scientific_journal-5504	66	161	1	1	NUM
american_scientific_journal-5504	66	162	−	−	NUM
american_scientific_journal-5504	66	163	1	1	NUM
american_scientific_journal-5504	66	164	3	3	NUM
american_scientific_journal-5504	66	165	3	3	NUM
american_scientific_journal-5504	66	166	1	1	NUM
american_scientific_journal-5504	66	167	−	−	NUM
american_scientific_journal-5504	66	168	1	1	NUM
american_scientific_journal-5504	66	169	3	3	NUM
american_scientific_journal-5504	66	170	1	1	NUM
american_scientific_journal-5504	66	171	3	3	NUM
american_scientific_journal-5504	66	172	4	4	NUM
american_scientific_journal-5504	66	173	−	−	NOUN
american_scientific_journal-5504	66	174	4	4	NUM
american_scientific_journal-5504	66	175	1	1	NUM
american_scientific_journal-5504	66	176	3	3	NUM
american_scientific_journal-5504	66	177	−	−	NOUN
american_scientific_journal-5504	66	178	3	3	NUM
american_scientific_journal-5504	66	179	−	−	NOUN
american_scientific_journal-5504	66	180	6	6	NUM
american_scientific_journal-5504	66	181	1	1	NUM
american_scientific_journal-5504	66	182	4	4	NUM
american_scientific_journal-5504	66	183	1	1	NUM
american_scientific_journal-5504	66	184	3	3	NUM
american_scientific_journal-5504	66	185	+	+	CCONJ
american_scientific_journal-5504	66	186	3	3	NUM
american_scientific_journal-5504	66	187	−	−	NOUN
american_scientific_journal-5504	66	188	6	6	NUM
american_scientific_journal-5504	66	189	1	1	NUM
american_scientific_journal-5504	66	190	−	−	NUM
american_scientific_journal-5504	66	191	1	1	NUM
american_scientific_journal-5504	66	192	4	4	NUM
american_scientific_journal-5504	66	193	6	6	NUM
american_scientific_journal-5504	66	194	1	1	NUM
american_scientific_journal-5504	66	195	−	−	NUM
american_scientific_journal-5504	66	196	1	1	NUM
american_scientific_journal-5504	66	197	4	4	NUM
american_scientific_journal-5504	66	198	1	1	NUM
american_scientific_journal-5504	66	199	4	4	NUM
american_scientific_journal-5504	66	200	]	]	PUNCT
american_scientific_journal-5504	66	201	by	by	ADP
american_scientific_journal-5504	66	202	paying	pay	VERB
american_scientific_journal-5504	66	203	attention	attention	NOUN
american_scientific_journal-5504	66	204	to	to	ADP
american_scientific_journal-5504	66	205	each	each	DET
american_scientific_journal-5504	66	206	entry	entry	NOUN
american_scientific_journal-5504	66	207	in	in	ADP
american_scientific_journal-5504	66	208	the	the	DET
american_scientific_journal-5504	66	209	matrix	matrix	NOUN
american_scientific_journal-5504	67	1	4there	4there	NUM
american_scientific_journal-5504	67	2	is	be	AUX
american_scientific_journal-5504	67	3	a	a	DET
american_scientific_journal-5504	67	4	matrix	matrix	NOUN
american_scientific_journal-5504	67	5	3	3	NUM
american_scientific_journal-5504	67	6	and	and	CCONJ
american_scientific_journal-5504	67	7	by	by	ADP
american_scientific_journal-5504	67	8	paying	pay	VERB
american_scientific_journal-5504	67	9	attention	attention	NOUN
american_scientific_journal-5504	67	10	to	to	ADP
american_scientific_journal-5504	67	11	each	each	DET
american_scientific_journal-5504	67	12	entry	entry	NOUN
american_scientific_journal-5504	67	13	in	in	ADP
american_scientific_journal-5504	67	14	the	the	DET
american_scientific_journal-5504	67	15	matrix	matrix	NOUN
american_scientific_journal-5504	67	16	3	3	NUM
american_scientific_journal-5504	67	17	there	there	PRON
american_scientific_journal-5504	67	18	is	be	VERB
american_scientific_journal-5504	67	19	a	a	DET
american_scientific_journal-5504	67	20	matrix	matrix	NOUN
american_scientific_journal-5504	67	21	,	,	PUNCT
american_scientific_journal-5504	67	22	for	for	SCONJ
american_scientific_journal-5504	67	23	all	all	DET
american_scientific_journal-5504	67	24	values	value	NOUN
american_scientific_journal-5504	67	25	of	of	ADP
american_scientific_journal-5504	67	26	thematrix	thematrix	NOUN
american_scientific_journal-5504	67	27	entries	entry	NOUN
american_scientific_journal-5504	67	28	are	be	AUX
american_scientific_journal-5504	67	29	listed	list	VERB
american_scientific_journal-5504	67	30	as	as	ADP
american_scientific_journal-5504	67	31	table	table	NOUN
american_scientific_journal-5504	67	32	2	2	NUM
american_scientific_journal-5504	67	33	.	.	PUNCT
american_scientific_journal-5504	67	34	table	table	NOUN
american_scientific_journal-5504	67	35	2	2	NUM
american_scientific_journal-5504	67	36	:	:	PUNCT
american_scientific_journal-5504	67	37	element	element	NOUN
american_scientific_journal-5504	67	38	values	value	NOUN
american_scientific_journal-5504	67	39	for	for	ADP
american_scientific_journal-5504	67	40	matrix	matrix	NOUN
american_scientific_journal-5504	67	41	matrix	matrix	NOUN
american_scientific_journal-5504	67	42	entry	entry	NOUN
american_scientific_journal-5504	67	43	matrix	matrix	NOUN
american_scientific_journal-5504	67	44	entry	entry	NOUN
american_scientific_journal-5504	67	45	value	value	NOUN
american_scientific_journal-5504	67	46	1	1	NUM
american_scientific_journal-5504	67	47	1	1	NUM
american_scientific_journal-5504	67	48	1	1	NUM
american_scientific_journal-5504	67	49	1	1	NUM
american_scientific_journal-5504	67	50	1	1	NUM
american_scientific_journal-5504	67	51	1	1	NUM
american_scientific_journal-5504	67	52	1	1	NUM
american_scientific_journal-5504	67	53	1	1	NUM
american_scientific_journal-5504	67	54	3	3	NUM
american_scientific_journal-5504	67	55	3	3	NUM
american_scientific_journal-5504	67	56	1	1	NUM
american_scientific_journal-5504	67	57	3	3	NUM
american_scientific_journal-5504	67	58	3	3	NUM
american_scientific_journal-5504	67	59	3	3	NUM
american_scientific_journal-5504	67	60	3	3	NUM
american_scientific_journal-5504	67	61	4	4	NUM
american_scientific_journal-5504	67	62	4	4	NUM
american_scientific_journal-5504	67	63	1	1	NUM
american_scientific_journal-5504	67	64	4	4	NUM
american_scientific_journal-5504	67	65	4	4	NUM
american_scientific_journal-5504	67	66	4	4	NUM
american_scientific_journal-5504	67	67	4	4	NUM
american_scientific_journal-5504	67	68	1	1	NUM
american_scientific_journal-5504	67	69	1	1	NUM
american_scientific_journal-5504	67	70	1	1	NUM
american_scientific_journal-5504	67	71	+	+	CCONJ
american_scientific_journal-5504	67	72	−	−	PROPN
american_scientific_journal-5504	67	73	1	1	NUM
american_scientific_journal-5504	67	74	−	−	NOUN
american_scientific_journal-5504	67	75	3	3	NUM
american_scientific_journal-5504	67	76	1	1	NUM
american_scientific_journal-5504	67	77	3	3	NUM
american_scientific_journal-5504	67	78	+	+	CCONJ
american_scientific_journal-5504	67	79	−	−	PROPN
american_scientific_journal-5504	67	80	3	3	NUM
american_scientific_journal-5504	67	81	3	3	NUM
american_scientific_journal-5504	67	82	3	3	NUM
american_scientific_journal-5504	67	83	−	−	NOUN
american_scientific_journal-5504	67	84	3	3	NUM
american_scientific_journal-5504	67	85	3	3	NUM
american_scientific_journal-5504	67	86	4	4	NUM
american_scientific_journal-5504	67	87	3	3	NUM
american_scientific_journal-5504	67	88	1	1	NUM
american_scientific_journal-5504	67	89	4	4	NUM
american_scientific_journal-5504	67	90	3	3	NUM
american_scientific_journal-5504	67	91	+	+	CCONJ
american_scientific_journal-5504	67	92	−	−	PROPN
american_scientific_journal-5504	67	93	4	4	NUM
american_scientific_journal-5504	67	94	4	4	NUM
american_scientific_journal-5504	67	95	4	4	NUM
american_scientific_journal-5504	67	96	3	3	NUM
american_scientific_journal-5504	67	97	−	−	NOUN
american_scientific_journal-5504	67	98	4	4	NUM
american_scientific_journal-5504	67	99	4	4	NUM
american_scientific_journal-5504	67	100	3	3	NUM
american_scientific_journal-5504	67	101	1	1	NUM
american_scientific_journal-5504	67	102	1	1	NUM
american_scientific_journal-5504	67	103	3	3	NUM
american_scientific_journal-5504	67	104	1	1	NUM
american_scientific_journal-5504	67	105	+	+	CCONJ
american_scientific_journal-5504	67	106	−	−	NUM
american_scientific_journal-5504	67	107	3	3	NUM
american_scientific_journal-5504	67	108	+	+	CCONJ
american_scientific_journal-5504	67	109	−	−	PROPN
american_scientific_journal-5504	67	110	3	3	NUM
american_scientific_journal-5504	67	111	3	3	NUM
american_scientific_journal-5504	67	112	3	3	NUM
american_scientific_journal-5504	67	113	1	1	NUM
american_scientific_journal-5504	67	114	−	−	NOUN
american_scientific_journal-5504	67	115	3	3	NUM
american_scientific_journal-5504	67	116	−	−	NOUN
american_scientific_journal-5504	67	117	3	3	NUM
american_scientific_journal-5504	67	118	3	3	NUM
american_scientific_journal-5504	67	119	4	4	NUM
american_scientific_journal-5504	67	120	1	1	NUM
american_scientific_journal-5504	67	121	4	4	NUM
american_scientific_journal-5504	67	122	+	+	CCONJ
american_scientific_journal-5504	67	123	−	−	NUM
american_scientific_journal-5504	67	124	4	4	NUM
american_scientific_journal-5504	67	125	3	3	NUM
american_scientific_journal-5504	67	126	+	+	NUM
american_scientific_journal-5504	67	127	−1	−1	NOUN
american_scientific_journal-5504	67	128	4	4	NUM
american_scientific_journal-5504	67	129	4	4	NUM
american_scientific_journal-5504	67	130	4	4	NUM
american_scientific_journal-5504	67	131	−	−	NOUN
american_scientific_journal-5504	67	132	4	4	NUM
american_scientific_journal-5504	67	133	3	3	NUM
american_scientific_journal-5504	67	134	−	−	NOUN
american_scientific_journal-5504	67	135	4	4	NUM
american_scientific_journal-5504	67	136	4	4	NUM
american_scientific_journal-5504	67	137	4	4	NUM
american_scientific_journal-5504	67	138	1	1	NUM
american_scientific_journal-5504	67	139	1	1	NUM
american_scientific_journal-5504	67	140	4	4	NUM
american_scientific_journal-5504	67	141	1	1	NUM
american_scientific_journal-5504	67	142	+	+	CCONJ
american_scientific_journal-5504	67	143	−	−	PROPN
american_scientific_journal-5504	67	144	4	4	NUM
american_scientific_journal-5504	67	145	+	+	NUM
american_scientific_journal-5504	67	146	−1	−1	NOUN
american_scientific_journal-5504	67	147	4	4	NUM
american_scientific_journal-5504	67	148	3	3	NUM
american_scientific_journal-5504	67	149	+	+	CCONJ
american_scientific_journal-5504	67	150	4	4	NUM
american_scientific_journal-5504	67	151	4	4	NUM
american_scientific_journal-5504	67	152	4	4	NUM
american_scientific_journal-5504	67	153	1	1	NUM
american_scientific_journal-5504	67	154	−	−	NOUN
american_scientific_journal-5504	67	155	4	4	NUM
american_scientific_journal-5504	67	156	−	−	NOUN
american_scientific_journal-5504	67	157	4	4	NUM
american_scientific_journal-5504	67	158	3	3	NUM
american_scientific_journal-5504	67	159	−	−	NOUN
american_scientific_journal-5504	67	160	−	−	PROPN
american_scientific_journal-5504	67	161	+1	+1	INTJ
american_scientific_journal-5504	67	162	−	−	PROPN
american_scientific_journal-5504	68	1	+	+	CCONJ
american_scientific_journal-5504	68	2	furthermore	furthermore	ADV
american_scientific_journal-5504	68	3	,	,	PUNCT
american_scientific_journal-5504	68	4	by	by	ADP
american_scientific_journal-5504	68	5	considering	consider	VERB
american_scientific_journal-5504	68	6	each	each	DET
american_scientific_journal-5504	68	7	step	step	NOUN
american_scientific_journal-5504	68	8	of	of	ADP
american_scientific_journal-5504	68	9	table	table	NOUN
american_scientific_journal-5504	68	10	3.2	3.2	NUM
american_scientific_journal-5504	68	11	by	by	ADP
american_scientific_journal-5504	68	12	paying	pay	VERB
american_scientific_journal-5504	68	13	attention	attention	NOUN
american_scientific_journal-5504	68	14	to	to	ADP
american_scientific_journal-5504	68	15	each	each	DET
american_scientific_journal-5504	68	16	entry	entry	NOUN
american_scientific_journal-5504	68	17	of	of	ADP
american_scientific_journal-5504	68	18	the	the	DET
american_scientific_journal-5504	68	19	matrix	matrix	NOUN
american_scientific_journal-5504	68	20	and	and	CCONJ
american_scientific_journal-5504	68	21	the	the	DET
american_scientific_journal-5504	68	22	value	value	NOUN
american_scientific_journal-5504	68	23	of	of	ADP
american_scientific_journal-5504	68	24	the	the	DET
american_scientific_journal-5504	68	25	matrix	matrix	NOUN
american_scientific_journal-5504	68	26	,	,	PUNCT
american_scientific_journal-5504	68	27	definition	definition	NOUN
american_scientific_journal-5504	68	28	9	9	NUM
american_scientific_journal-5504	68	29	can	can	AUX
american_scientific_journal-5504	68	30	be	be	AUX
american_scientific_journal-5504	68	31	stated	state	VERB
american_scientific_journal-5504	68	32	.	.	PUNCT
american_scientific_journal-5504	69	1	definition9for	definition9for	ADP
american_scientific_journal-5504	69	2	each	each	DET
american_scientific_journal-5504	69	3	natural	natural	ADJ
american_scientific_journal-5504	69	4	number	number	NOUN
american_scientific_journal-5504	69	5	n	n	CCONJ
american_scientific_journal-5504	69	6	,	,	PUNCT
american_scientific_journal-5504	69	7	the	the	DET
american_scientific_journal-5504	69	8	matrix	matrix	NOUN
american_scientific_journal-5504	69	9	whose	whose	DET
american_scientific_journal-5504	69	10	order	order	NOUN
american_scientific_journal-5504	69	11	isnxn	isnxn	VERB
american_scientific_journal-5504	69	12	with	with	ADP
american_scientific_journal-5504	69	13	each	each	DET
american_scientific_journal-5504	69	14	entry	entry	NOUN
american_scientific_journal-5504	69	15	[	[	PUNCT
american_scientific_journal-5504	69	16	]	]	X
american_scientific_journal-5504	69	17	,	,	PUNCT
american_scientific_journal-5504	69	18	for	for	ADP
american_scientific_journal-5504	69	19	each	each	DET
american_scientific_journal-5504	69	20	1	1	NUM
american_scientific_journal-5504	69	21	3	3	NUM
american_scientific_journal-5504	69	22	,	,	PUNCT
american_scientific_journal-5504	69	23	is	be	AUX
american_scientific_journal-5504	69	24	defined	define	VERB
american_scientific_journal-5504	69	25	as	as	ADP
american_scientific_journal-5504	69	26	−	−	PROPN
american_scientific_journal-5504	69	27	+1	+1	INTJ
american_scientific_journal-5504	69	28	−	−	PROPN
american_scientific_journal-5504	70	1	+	+	CCONJ
american_scientific_journal-5504	70	2	9	9	NUM
american_scientific_journal-5504	70	3	american	american	ADJ
american_scientific_journal-5504	70	4	scientific	scientific	ADJ
american_scientific_journal-5504	70	5	research	research	NOUN
american_scientific_journal-5504	70	6	journal	journal	NOUN
american_scientific_journal-5504	70	7	for	for	ADP
american_scientific_journal-5504	70	8	engineering	engineering	NOUN
american_scientific_journal-5504	70	9	,	,	PUNCT
american_scientific_journal-5504	70	10	technology	technology	NOUN
american_scientific_journal-5504	70	11	,	,	PUNCT
american_scientific_journal-5504	70	12	and	and	CCONJ
american_scientific_journal-5504	70	13	sciences	science	NOUN
american_scientific_journal-5504	70	14	(	(	PUNCT
american_scientific_journal-5504	70	15	asrjets	asrjet	NOUN
american_scientific_journal-5504	70	16	)	)	PUNCT
american_scientific_journal-5504	70	17	(	(	PUNCT
american_scientific_journal-5504	70	18	2020	2020	NUM
american_scientific_journal-5504	70	19	)	)	PUNCT
american_scientific_journal-5504	70	20	volume	volume	NOUN
american_scientific_journal-5504	70	21	65	65	NUM
american_scientific_journal-5504	70	22	,	,	PUNCT
american_scientific_journal-5504	70	23	no	no	DET
american_scientific_journal-5504	70	24	1	1	NUM
american_scientific_journal-5504	70	25	,	,	PUNCT
american_scientific_journal-5504	70	26	pp	pp	ADV
american_scientific_journal-5504	70	27	29	29	NUM
american_scientific_journal-5504	70	28	-	-	SYM
american_scientific_journal-5504	70	29	38	38	NUM
american_scientific_journal-5504	70	30	37	37	NUM
american_scientific_journal-5504	70	31	from	from	ADP
american_scientific_journal-5504	70	32	equation	equation	NOUN
american_scientific_journal-5504	70	33	(	(	PUNCT
american_scientific_journal-5504	70	34	9	9	X
american_scientific_journal-5504	70	35	)	)	PUNCT
american_scientific_journal-5504	70	36	we	we	PRON
american_scientific_journal-5504	70	37	get	get	VERB
american_scientific_journal-5504	70	38	the	the	DET
american_scientific_journal-5504	70	39	value	value	NOUN
american_scientific_journal-5504	70	40	1	1	NUM
american_scientific_journal-5504	70	41	1	1	NUM
american_scientific_journal-5504	70	42	1	1	NUM
american_scientific_journal-5504	70	43	,	,	PUNCT
american_scientific_journal-5504	70	44	1	1	NUM
american_scientific_journal-5504	70	45	for	for	ADP
american_scientific_journal-5504	70	46	each	each	PRON
american_scientific_journal-5504	70	47	,	,	PUNCT
american_scientific_journal-5504	70	48	1	1	NUM
american_scientific_journal-5504	70	49	−	−	NOUN
american_scientific_journal-5504	70	50	1	1	NUM
american_scientific_journal-5504	70	51	,	,	PUNCT
american_scientific_journal-5504	70	52	1	1	NUM
american_scientific_journal-5504	70	53	,	,	PUNCT
american_scientific_journal-5504	70	54	and	and	CCONJ
american_scientific_journal-5504	70	55	for	for	ADP
american_scientific_journal-5504	70	56	each	each	DET
american_scientific_journal-5504	70	57	3	3	NUM
american_scientific_journal-5504	70	58	,	,	PUNCT
american_scientific_journal-5504	70	59	and	and	CCONJ
american_scientific_journal-5504	70	60	for	for	ADP
american_scientific_journal-5504	70	61	each	each	PRON
american_scientific_journal-5504	70	62	−	−	PROPN
american_scientific_journal-5504	70	63	+1	+1	INTJ
american_scientific_journal-5504	70	64	−	−	PROPN
american_scientific_journal-5504	71	1	+	+	CCONJ
american_scientific_journal-5504	71	2	.	.	PUNCT
american_scientific_journal-5504	72	1	based	base	VERB
american_scientific_journal-5504	72	2	on	on	ADP
american_scientific_journal-5504	72	3	the	the	DET
american_scientific_journal-5504	72	4	definition	definition	NOUN
american_scientific_journal-5504	72	5	of	of	ADP
american_scientific_journal-5504	72	6	the	the	DET
american_scientific_journal-5504	72	7	matrix	matrix	NOUN
american_scientific_journal-5504	72	8	in	in	ADP
american_scientific_journal-5504	72	9	equation	equation	NOUN
american_scientific_journal-5504	72	10	9	9	NUM
american_scientific_journal-5504	72	11	the	the	DET
american_scientific_journal-5504	72	12	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	72	13	polynomial	polynomial	ADJ
american_scientific_journal-5504	72	14	matrix	matrix	NOUN
american_scientific_journal-5504	72	15	in	in	ADP
american_scientific_journal-5504	72	16	equation	equation	NOUN
american_scientific_journal-5504	72	17	(	(	PUNCT
american_scientific_journal-5504	72	18	2	2	NUM
american_scientific_journal-5504	72	19	)	)	PUNCT
american_scientific_journal-5504	72	20	and	and	CCONJ
american_scientific_journal-5504	72	21	the	the	DET
american_scientific_journal-5504	72	22	k	k	PROPN
american_scientific_journal-5504	72	23	-	-	PUNCT
american_scientific_journal-5504	72	24	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	72	25	matrix	matrix	NOUN
american_scientific_journal-5504	72	26	in	in	ADP
american_scientific_journal-5504	72	27	equation	equation	NOUN
american_scientific_journal-5504	72	28	(	(	PUNCT
american_scientific_journal-5504	72	29	4	4	X
american_scientific_journal-5504	72	30	)	)	PUNCT
american_scientific_journal-5504	72	31	theorem	theorem	NOUN
american_scientific_journal-5504	72	32	10	10	NUM
american_scientific_journal-5504	72	33	can	can	AUX
american_scientific_journal-5504	72	34	be	be	AUX
american_scientific_journal-5504	72	35	stated	state	VERB
american_scientific_journal-5504	72	36	.	.	PUNCT
american_scientific_journal-5504	73	1	theorem10the	theorem10the	PRON
american_scientific_journal-5504	73	2	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	73	3	polynomial	polynomial	ADJ
american_scientific_journal-5504	73	4	matrix	matrix	NOUN
american_scientific_journal-5504	73	5	can	can	AUX
american_scientific_journal-5504	73	6	be	be	AUX
american_scientific_journal-5504	73	7	grouped	group	VERB
american_scientific_journal-5504	73	8	into	into	ADP
american_scientific_journal-5504	73	9	.	.	PUNCT
american_scientific_journal-5504	74	1	proof.because	proof.because	VERB
american_scientific_journal-5504	74	2	the	the	DET
american_scientific_journal-5504	74	3	k	k	ADJ
american_scientific_journal-5504	74	4	-	-	PUNCT
american_scientific_journal-5504	74	5	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	74	6	matrix	matrix	NOUN
american_scientific_journal-5504	74	7	has	have	VERB
american_scientific_journal-5504	74	8	an	an	DET
american_scientific_journal-5504	74	9	inverse	inverse	NOUN
american_scientific_journal-5504	74	10	,	,	PUNCT
american_scientific_journal-5504	74	11	it	it	PRON
american_scientific_journal-5504	74	12	will	will	AUX
american_scientific_journal-5504	74	13	be	be	AUX
american_scientific_journal-5504	74	14	proven	prove	VERB
american_scientific_journal-5504	74	15	that	that	SCONJ
american_scientific_journal-5504	74	16	1	1	NUM
american_scientific_journal-5504	74	17	let	let	VERB
american_scientific_journal-5504	74	18	1	1	NUM
american_scientific_journal-5504	74	19	be	be	AUX
american_scientific_journal-5504	74	20	the	the	DET
american_scientific_journal-5504	74	21	inverse	inverse	NOUN
american_scientific_journal-5504	74	22	of	of	ADP
american_scientific_journal-5504	74	23	the	the	DET
american_scientific_journal-5504	74	24	k	k	PROPN
american_scientific_journal-5504	74	25	-	-	PUNCT
american_scientific_journal-5504	74	26	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	74	27	matrix	matrix	NOUN
american_scientific_journal-5504	74	28	defined	define	VERB
american_scientific_journal-5504	74	29	in	in	ADP
american_scientific_journal-5504	74	30	equation	equation	NOUN
american_scientific_journal-5504	74	31	(	(	PUNCT
american_scientific_journal-5504	74	32	5	5	NUM
american_scientific_journal-5504	74	33	)	)	PUNCT
american_scientific_journal-5504	74	34	obtained	obtain	VERB
american_scientific_journal-5504	74	35	by	by	ADP
american_scientific_journal-5504	74	36	the	the	DET
american_scientific_journal-5504	74	37	main	main	ADJ
american_scientific_journal-5504	74	38	diagonal	diagonal	NOUN
american_scientific_journal-5504	74	39	of	of	ADP
american_scientific_journal-5504	74	40	the	the	DET
american_scientific_journal-5504	74	41	inverse	inverse	NOUN
american_scientific_journal-5504	74	42	matrix	matrix	NOUN
american_scientific_journal-5504	74	43	1	1	NUM
american_scientific_journal-5504	74	44	furthermore	furthermore	ADV
american_scientific_journal-5504	74	45	based	base	VERB
american_scientific_journal-5504	74	46	on	on	ADP
american_scientific_journal-5504	74	47	the	the	DET
american_scientific_journal-5504	74	48	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	74	49	polynomial	polynomial	ADJ
american_scientific_journal-5504	74	50	matrix	matrix	NOUN
american_scientific_journal-5504	74	51	in	in	ADP
american_scientific_journal-5504	74	52	equation	equation	NOUN
american_scientific_journal-5504	74	53	the	the	DET
american_scientific_journal-5504	74	54	main	main	ADJ
american_scientific_journal-5504	74	55	diagonal	diagonal	ADJ
american_scientific_journal-5504	74	56	matrix	matrix	NOUN
american_scientific_journal-5504	74	57	is	be	AUX
american_scientific_journal-5504	74	58	obtained	obtain	VERB
american_scientific_journal-5504	74	59	.	.	PUNCT
american_scientific_journal-5504	75	1	by	by	ADP
american_scientific_journal-5504	75	2	paying	pay	VERB
american_scientific_journal-5504	75	3	attention	attention	NOUN
american_scientific_journal-5504	75	4	to	to	ADP
american_scientific_journal-5504	75	5	the	the	DET
american_scientific_journal-5504	75	6	left	left	ADJ
american_scientific_journal-5504	75	7	-	-	PUNCT
american_scientific_journal-5504	75	8	hand	hand	NOUN
american_scientific_journal-5504	75	9	side	side	NOUN
american_scientific_journal-5504	75	10	of	of	ADP
american_scientific_journal-5504	75	11	equation	equation	NOUN
american_scientific_journal-5504	75	12	(	(	PUNCT
american_scientific_journal-5504	75	13	9	9	NUM
american_scientific_journal-5504	75	14	)	)	PUNCT
american_scientific_journal-5504	75	15	,	,	PUNCT
american_scientific_journal-5504	75	16	if	if	SCONJ
american_scientific_journal-5504	75	17	then	then	ADV
american_scientific_journal-5504	75	18	and	and	CCONJ
american_scientific_journal-5504	75	19	then	then	ADV
american_scientific_journal-5504	75	20	.	.	PUNCT
american_scientific_journal-5504	76	1	so	so	ADV
american_scientific_journal-5504	76	2	for	for	ADP
american_scientific_journal-5504	76	3	based	base	VERB
american_scientific_journal-5504	76	4	on	on	ADP
american_scientific_journal-5504	76	5	equation	equation	NOUN
american_scientific_journal-5504	76	6	(	(	PUNCT
american_scientific_journal-5504	76	7	2	2	NUM
american_scientific_journal-5504	76	8	)	)	PUNCT
american_scientific_journal-5504	76	9	and	and	CCONJ
american_scientific_journal-5504	76	10	equation	equation	NOUN
american_scientific_journal-5504	76	11	(	(	PUNCT
american_scientific_journal-5504	76	12	5	5	X
american_scientific_journal-5504	76	13	)	)	PUNCT
american_scientific_journal-5504	76	14	the	the	DET
american_scientific_journal-5504	76	15	values	value	NOUN
american_scientific_journal-5504	76	16	of	of	ADP
american_scientific_journal-5504	76	17	can	can	AUX
american_scientific_journal-5504	76	18	be	be	AUX
american_scientific_journal-5504	76	19	evaluated	evaluate	VERB
american_scientific_journal-5504	76	20	as	as	SCONJ
american_scientific_journal-5504	76	21	follows	follow	VERB
american_scientific_journal-5504	76	22	:	:	PUNCT
american_scientific_journal-5504	77	1	+	+	PUNCT
american_scientific_journal-5504	77	2	+	+	PUNCT
american_scientific_journal-5504	77	3	+	+	PUNCT
american_scientific_journal-5504	77	4	+	+	PUNCT
american_scientific_journal-5504	77	5	+	+	PUNCT
american_scientific_journal-5504	77	6	+	+	PUNCT
american_scientific_journal-5504	77	7	+	+	PUNCT
american_scientific_journal-5504	77	8	+	+	PUNCT
american_scientific_journal-5504	77	9	+	+	CCONJ
american_scientific_journal-5504	77	10	+	+	NUM
american_scientific_journal-5504	77	11	⋯+	⋯+	NOUN
american_scientific_journal-5504	77	12	∑	∑	PUNCT
american_scientific_journal-5504	77	13	so	so	ADV
american_scientific_journal-5504	77	14	1	1	NUM
american_scientific_journal-5504	77	15	is	be	AUX
american_scientific_journal-5504	77	16	obtained	obtain	VERB
american_scientific_journal-5504	77	17	.	.	PUNCT
american_scientific_journal-5504	78	1	furthermore	furthermore	ADV
american_scientific_journal-5504	78	2	,	,	PUNCT
american_scientific_journal-5504	78	3	from	from	ADP
american_scientific_journal-5504	78	4	the	the	DET
american_scientific_journal-5504	78	5	definition	definition	NOUN
american_scientific_journal-5504	78	6	of	of	ADP
american_scientific_journal-5504	78	7	the	the	DET
american_scientific_journal-5504	78	8	matrix	matrix	NOUN
american_scientific_journal-5504	78	9	in	in	ADP
american_scientific_journal-5504	78	10	equation	equation	NOUN
american_scientific_journal-5504	78	11	9	9	NUM
american_scientific_journal-5504	78	12	the	the	DET
american_scientific_journal-5504	78	13	bell„s	bell„s	NOUN
american_scientific_journal-5504	78	14	polynomial	polynomial	ADJ
american_scientific_journal-5504	78	15	matrix	matrix	NOUN
american_scientific_journal-5504	78	16	in	in	ADP
american_scientific_journal-5504	78	17	equation	equation	NOUN
american_scientific_journal-5504	78	18	(	(	PUNCT
american_scientific_journal-5504	78	19	2	2	NUM
american_scientific_journal-5504	78	20	)	)	PUNCT
american_scientific_journal-5504	78	21	and	and	CCONJ
american_scientific_journal-5504	78	22	the	the	DET
american_scientific_journal-5504	78	23	k	k	PROPN
american_scientific_journal-5504	78	24	-	-	PUNCT
american_scientific_journal-5504	78	25	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	78	26	matrix	matrix	NOUN
american_scientific_journal-5504	78	27	in	in	ADP
american_scientific_journal-5504	78	28	equation	equation	NOUN
american_scientific_journal-5504	78	29	(	(	PUNCT
american_scientific_journal-5504	78	30	4	4	NUM
american_scientific_journal-5504	78	31	)	)	PUNCT
american_scientific_journal-5504	78	32	,	,	PUNCT
american_scientific_journal-5504	78	33	.	.	PUNCT
american_scientific_journal-5504	79	1	4	4	X
american_scientific_journal-5504	79	2	.	.	X
american_scientific_journal-5504	79	3	conclusion	conclusion	NOUN
american_scientific_journal-5504	79	4	this	this	DET
american_scientific_journal-5504	79	5	paper	paper	NOUN
american_scientific_journal-5504	79	6	discusses	discuss	VERB
american_scientific_journal-5504	79	7	the	the	DET
american_scientific_journal-5504	79	8	relationship	relationship	NOUN
american_scientific_journal-5504	79	9	between	between	ADP
american_scientific_journal-5504	79	10	the	the	DET
american_scientific_journal-5504	79	11	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	79	12	polynomial	polynomial	ADJ
american_scientific_journal-5504	79	13	matrix	matrix	NOUN
american_scientific_journal-5504	79	14	and	and	CCONJ
american_scientific_journal-5504	79	15	the	the	DET
american_scientific_journal-5504	79	16	k	k	PROPN
american_scientific_journal-5504	79	17	-	-	PUNCT
american_scientific_journal-5504	79	18	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	79	19	matrix	matrix	NOUN
american_scientific_journal-5504	79	20	.	.	PUNCT
american_scientific_journal-5504	80	1	then	then	ADV
american_scientific_journal-5504	80	2	,	,	PUNCT
american_scientific_journal-5504	80	3	from	from	ADP
american_scientific_journal-5504	80	4	the	the	DET
american_scientific_journal-5504	80	5	relationship	relationship	NOUN
american_scientific_journal-5504	80	6	between	between	ADP
american_scientific_journal-5504	80	7	the	the	DET
american_scientific_journal-5504	80	8	two	two	NUM
american_scientific_journal-5504	80	9	matrices	matrix	NOUN
american_scientific_journal-5504	80	10	,	,	PUNCT
american_scientific_journal-5504	80	11	two	two	NUM
american_scientific_journal-5504	80	12	matrix	matrix	NOUN
american_scientific_journal-5504	80	13	equations	equation	NOUN
american_scientific_journal-5504	80	14	are	be	AUX
american_scientific_journal-5504	80	15	obtained	obtain	VERB
american_scientific_journal-5504	80	16	.	.	PUNCT
american_scientific_journal-5504	81	1	the	the	DET
american_scientific_journal-5504	81	2	first	first	ADJ
american_scientific_journal-5504	81	3	equation	equation	NOUN
american_scientific_journal-5504	81	4	is	be	AUX
american_scientific_journal-5504	81	5	denoted	denote	VERB
american_scientific_journal-5504	81	6	by	by	ADP
american_scientific_journal-5504	81	7	resulting	result	VERB
american_scientific_journal-5504	81	8	from	from	ADP
american_scientific_journal-5504	81	9	the	the	DET
american_scientific_journal-5504	81	10	multiplication	multiplication	NOUN
american_scientific_journal-5504	81	11	of	of	ADP
american_scientific_journal-5504	81	12	the	the	DET
american_scientific_journal-5504	81	13	matrix	matrix	NOUN
american_scientific_journal-5504	81	14	1	1	NUM
american_scientific_journal-5504	81	15	and	and	CCONJ
american_scientific_journal-5504	81	16	the	the	DET
american_scientific_journal-5504	81	17	second	second	ADJ
american_scientific_journal-5504	81	18	is	be	AUX
american_scientific_journal-5504	81	19	denoted	denote	VERB
american_scientific_journal-5504	81	20	by	by	ADP
american_scientific_journal-5504	81	21	resulting	result	VERB
american_scientific_journal-5504	81	22	from	from	ADP
american_scientific_journal-5504	81	23	the	the	DET
american_scientific_journal-5504	81	24	matrix	matrix	NOUN
american_scientific_journal-5504	81	25	product	product	NOUN
american_scientific_journal-5504	81	26	1	1	NUM
american_scientific_journal-5504	81	27	.	.	PUNCT
american_scientific_journal-5504	82	1	furthermore	furthermore	ADV
american_scientific_journal-5504	82	2	,	,	PUNCT
american_scientific_journal-5504	82	3	using	use	VERB
american_scientific_journal-5504	82	4	matrix	matrix	NOUN
american_scientific_journal-5504	82	5	it	it	PRON
american_scientific_journal-5504	82	6	is	be	AUX
american_scientific_journal-5504	82	7	showed	show	VERB
american_scientific_journal-5504	82	8	that	that	SCONJ
american_scientific_journal-5504	82	9	the	the	DET
american_scientific_journal-5504	82	10	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	82	11	polynomial	polynomial	ADJ
american_scientific_journal-5504	82	12	matrix	matrix	NOUN
american_scientific_journal-5504	82	13	can	can	AUX
american_scientific_journal-5504	82	14	be	be	AUX
american_scientific_journal-5504	82	15	expressed	express	VERB
american_scientific_journal-5504	82	16	by	by	ADP
american_scientific_journal-5504	82	17	1	1	NUM
american_scientific_journal-5504	82	18	and	and	CCONJ
american_scientific_journal-5504	82	19	using	use	VERB
american_scientific_journal-5504	82	20	matrix	matrix	NOUN
american_scientific_journal-5504	82	21	shows	show	VERB
american_scientific_journal-5504	82	22	that	that	SCONJ
american_scientific_journal-5504	82	23	the	the	DET
american_scientific_journal-5504	82	24	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	82	25	polynomial	polynomial	ADJ
american_scientific_journal-5504	82	26	matrix	matrix	NOUN
american_scientific_journal-5504	82	27	can	can	AUX
american_scientific_journal-5504	82	28	be	be	AUX
american_scientific_journal-5504	82	29	expressed	express	VERB
american_scientific_journal-5504	82	30	as	as	ADP
american_scientific_journal-5504	82	31	1	1	NUM
american_scientific_journal-5504	82	32	.	.	PUNCT
american_scientific_journal-5504	83	1	for	for	ADP
american_scientific_journal-5504	83	2	further	further	ADJ
american_scientific_journal-5504	83	3	research	research	NOUN
american_scientific_journal-5504	83	4	,	,	PUNCT
american_scientific_journal-5504	83	5	it	it	PRON
american_scientific_journal-5504	83	6	can	can	AUX
american_scientific_journal-5504	83	7	be	be	AUX
american_scientific_journal-5504	83	8	carried	carry	VERB
american_scientific_journal-5504	83	9	out	out	ADP
american_scientific_journal-5504	83	10	a	a	DET
american_scientific_journal-5504	83	11	research	research	NOUN
american_scientific_journal-5504	83	12	on	on	ADP
american_scientific_journal-5504	83	13	the	the	DET
american_scientific_journal-5504	83	14	relationship	relationship	NOUN
american_scientific_journal-5504	83	15	of	of	ADP
american_scientific_journal-5504	83	16	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	83	17	polynomial	polynomial	ADJ
american_scientific_journal-5504	83	18	matrix	matrix	NOUN
american_scientific_journal-5504	83	19	and	and	CCONJ
american_scientific_journal-5504	83	20	k	k	PROPN
american_scientific_journal-5504	83	21	-	-	PUNCT
american_scientific_journal-5504	83	22	tribonacci	tribonacci	PROPN
american_scientific_journal-5504	83	23	matrix	matrix	NOUN
american_scientific_journal-5504	83	24	and	and	CCONJ
american_scientific_journal-5504	83	25	the	the	DET
american_scientific_journal-5504	83	26	relationship	relationship	NOUN
american_scientific_journal-5504	83	27	of	of	ADP
american_scientific_journal-5504	83	28	bell‟s	bell‟s	NOUN
american_scientific_journal-5504	83	29	polynomial	polynomial	ADJ
american_scientific_journal-5504	83	30	matrix	matrix	NOUN
american_scientific_journal-5504	83	31	and	and	CCONJ
american_scientific_journal-5504	83	32	k	k	ADJ
american_scientific_journal-5504	83	33	-	-	ADJ
american_scientific_journal-5504	83	34	stirling	stirling	NOUN
american_scientific_journal-5504	83	35	matrix	matrix	NOUN
american_scientific_journal-5504	83	36	.	.	PUNCT
american_scientific_journal-5504	84	1	references	reference	NOUN
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american_scientific_journal-5504	84	5	m	m	VERB
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american_scientific_journal-5504	84	7	and	and	CCONJ
american_scientific_journal-5504	84	8	s	s	AUX
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american_scientific_journal-5504	84	10	“	"	PUNCT
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american_scientific_journal-5504	84	14	for	for	ADP
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american_scientific_journal-5504	84	17	”	"	PUNCT
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american_scientific_journal-5504	84	20	,	,	PUNCT
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american_scientific_journal-5504	84	24	,	,	PUNCT
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american_scientific_journal-5504	84	26	.	.	PUNCT
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american_scientific_journal-5504	85	2	,	,	PUNCT
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american_scientific_journal-5504	85	4	.	.	PUNCT
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american_scientific_journal-5504	86	2	.	.	PUNCT
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american_scientific_journal-5504	87	5	“	"	PUNCT
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american_scientific_journal-5504	87	8	”	"	PUNCT
american_scientific_journal-5504	87	9	reidel	reidel	PROPN
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american_scientific_journal-5504	87	12	,	,	PUNCT
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american_scientific_journal-5504	87	16	,	,	PUNCT
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american_scientific_journal-5504	87	18	.	.	PUNCT
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american_scientific_journal-5504	88	4	s	s	X
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american_scientific_journal-5504	88	6	“	"	PUNCT
american_scientific_journal-5504	88	7	the	the	DET
american_scientific_journal-5504	88	8	k	k	PROPN
american_scientific_journal-5504	88	9	-	-	PUNCT
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american_scientific_journal-5504	88	11	matrix	matrix	NOUN
american_scientific_journal-5504	88	12	and	and	CCONJ
american_scientific_journal-5504	88	13	the	the	DET
american_scientific_journal-5504	88	14	pascal	pascal	ADJ
american_scientific_journal-5504	88	15	matrix	matrix	NOUN
american_scientific_journal-5504	88	16	”	"	PUNCT
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american_scientific_journal-5504	88	19	journal	journal	PROPN
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american_scientific_journal-5504	88	22	,	,	PUNCT
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american_scientific_journal-5504	88	24	.	.	PROPN
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american_scientific_journal-5504	89	2	,	,	PUNCT
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american_scientific_journal-5504	89	4	.	.	PUNCT
american_scientific_journal-5504	90	1	1403	1403	NUM
american_scientific_journal-5504	90	2	-	-	SYM
american_scientific_journal-5504	90	3	1410	1410	NUM
american_scientific_journal-5504	90	4	,	,	PUNCT
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american_scientific_journal-5504	91	2	.	.	PUNCT
american_scientific_journal-5504	92	1	american	american	ADJ
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american_scientific_journal-5504	92	3	research	research	PROPN
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american_scientific_journal-5504	92	5	for	for	ADP
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american_scientific_journal-5504	92	7	,	,	PUNCT
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american_scientific_journal-5504	92	9	,	,	PUNCT
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american_scientific_journal-5504	92	15	(	(	PUNCT
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american_scientific_journal-5504	92	20	,	,	PUNCT
american_scientific_journal-5504	92	21	no	no	DET
american_scientific_journal-5504	92	22	1	1	NUM
american_scientific_journal-5504	92	23	,	,	PUNCT
american_scientific_journal-5504	92	24	pp	pp	ADV
american_scientific_journal-5504	92	25	29	29	NUM
american_scientific_journal-5504	92	26	-	-	SYM
american_scientific_journal-5504	92	27	38	38	NUM
american_scientific_journal-5504	92	28	38	38	NUM
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american_scientific_journal-5504	92	32	s	s	X
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american_scientific_journal-5504	92	34	and	and	CCONJ
american_scientific_journal-5504	92	35	a	a	DET
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american_scientific_journal-5504	92	37	“	"	PUNCT
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american_scientific_journal-5504	92	39	-	-	PUNCT
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american_scientific_journal-5504	92	50	,	,	PUNCT
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american_scientific_journal-5504	92	52	.	.	PROPN
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american_scientific_journal-5504	92	54	,	,	PUNCT
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american_scientific_journal-5504	92	56	.	.	PUNCT
american_scientific_journal-5504	93	1	497	497	NUM
american_scientific_journal-5504	93	2	-	-	SYM
american_scientific_journal-5504	93	3	504	504	NUM
american_scientific_journal-5504	93	4	,	,	PUNCT
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american_scientific_journal-5504	93	6	.	.	PROPN
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american_scientific_journal-5504	93	8	.	.	PUNCT
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american_scientific_journal-5504	94	4	k	k	PROPN
american_scientific_journal-5504	94	5	k	k	PROPN
american_scientific_journal-5504	94	6	kataria	kataria	PROPN
american_scientific_journal-5504	94	7	and	and	CCONJ
american_scientific_journal-5504	94	8	p	p	NOUN
american_scientific_journal-5504	94	9	vellaisamy	vellaisamy	NOUN
american_scientific_journal-5504	94	10	“	"	PUNCT
american_scientific_journal-5504	94	11	correlation	correlation	NOUN
american_scientific_journal-5504	94	12	between	between	ADP
american_scientific_journal-5504	94	13	adomian	adomian	NOUN
american_scientific_journal-5504	94	14	and	and	CCONJ
american_scientific_journal-5504	94	15	partial	partial	ADJ
american_scientific_journal-5504	94	16	exponential	exponential	ADJ
american_scientific_journal-5504	94	17	bell	bell	NOUN
american_scientific_journal-5504	94	18	polynomials	polynomial	NOUN
american_scientific_journal-5504	94	19	”	"	PUNCT
american_scientific_journal-5504	94	20	,	,	PUNCT
american_scientific_journal-5504	94	21	discrete	discrete	ADJ
american_scientific_journal-5504	94	22	mathematics	mathematic	NOUN
american_scientific_journal-5504	94	23	,	,	PUNCT
american_scientific_journal-5504	94	24	vol	vol	NOUN
american_scientific_journal-5504	94	25	10	10	NUM
american_scientific_journal-5504	94	26	,	,	PUNCT
american_scientific_journal-5504	94	27	pp	pp	ADJ
american_scientific_journal-5504	94	28	.	.	PUNCT
american_scientific_journal-5504	95	1	168–185	168–185	NUM
american_scientific_journal-5504	95	2	,	,	PUNCT
american_scientific_journal-5504	95	3	may	may	PROPN
american_scientific_journal-5504	95	4	2016	2016	NUM
american_scientific_journal-5504	95	5	.	.	PUNCT
american_scientific_journal-5504	96	1	[	[	X
american_scientific_journal-5504	96	2	6	6	NUM
american_scientific_journal-5504	96	3	]	]	PUNCT
american_scientific_journal-5504	96	4	m	m	VERB
american_scientific_journal-5504	96	5	mihoubi	mihoubi	ADJ
american_scientific_journal-5504	96	6	“	"	PUNCT
american_scientific_journal-5504	96	7	bell	bell	NOUN
american_scientific_journal-5504	96	8	polinomiyals	polinomiyal	NOUN
american_scientific_journal-5504	96	9	and	and	CCONJ
american_scientific_journal-5504	96	10	binomial	binomial	ADJ
american_scientific_journal-5504	96	11	type	type	NOUN
american_scientific_journal-5504	96	12	sequences	sequence	NOUN
american_scientific_journal-5504	96	13	”	"	PUNCT
american_scientific_journal-5504	96	14	discrete	discrete	ADJ
american_scientific_journal-5504	96	15	mathematics	mathematic	NOUN
american_scientific_journal-5504	96	16	,	,	PUNCT
american_scientific_journal-5504	96	17	vol	vol	NOUN
american_scientific_journal-5504	96	18	308	308	NUM
american_scientific_journal-5504	96	19	,	,	PUNCT
american_scientific_journal-5504	96	20	pp	pp	ADJ
american_scientific_journal-5504	96	21	.	.	PUNCT
american_scientific_journal-5504	97	1	2450–2459	2450–2459	NUM
american_scientific_journal-5504	97	2	,	,	PUNCT
american_scientific_journal-5504	97	3	may	may	AUX
american_scientific_journal-5504	97	4	2007	2007	NUM
american_scientific_journal-5504	97	5	.	.	PUNCT
american_scientific_journal-5504	98	1	[	[	X
american_scientific_journal-5504	98	2	7	7	X
american_scientific_journal-5504	98	3	]	]	SYM
american_scientific_journal-5504	98	4	f	f	PROPN
american_scientific_journal-5504	98	5	qi	qi	PROPN
american_scientific_journal-5504	98	6	d	d	PROPN
american_scientific_journal-5504	98	7	w	w	PROPN
american_scientific_journal-5504	98	8	niu	niu	PROPN
american_scientific_journal-5504	98	9	d	d	PROPN
american_scientific_journal-5504	98	10	lim	lim	PROPN
american_scientific_journal-5504	98	11	and	and	CCONJ
american_scientific_journal-5504	98	12	b	b	PROPN
american_scientific_journal-5504	98	13	n	n	CCONJ
american_scientific_journal-5504	98	14	guo	guo	X
american_scientific_journal-5504	98	15	“	"	PUNCT
american_scientific_journal-5504	98	16	some	some	DET
american_scientific_journal-5504	98	17	properties	property	NOUN
american_scientific_journal-5504	98	18	and	and	CCONJ
american_scientific_journal-5504	98	19	application	application	NOUN
american_scientific_journal-5504	98	20	of	of	ADP
american_scientific_journal-5504	98	21	multivariate	multivariate	NOUN
american_scientific_journal-5504	98	22	exponential	exponential	ADJ
american_scientific_journal-5504	98	23	polynomial	polynomial	ADJ
american_scientific_journal-5504	98	24	“	"	PUNCT
american_scientific_journal-5504	98	25	archives	archive	NOUN
american_scientific_journal-5504	98	26	ouvertes	ouverte	NOUN
american_scientific_journal-5504	98	27	,	,	PUNCT
american_scientific_journal-5504	98	28	vol	vol	NOUN
american_scientific_journal-5504	98	29	.	.	PROPN
american_scientific_journal-5504	98	30	8	8	NUM
american_scientific_journal-5504	98	31	,	,	PUNCT
american_scientific_journal-5504	98	32	pp	pp	ADJ
american_scientific_journal-5504	98	33	.	.	PUNCT
american_scientific_journal-5504	99	1	1–22	1–22	PROPN
american_scientific_journal-5504	99	2	,	,	PUNCT
american_scientific_journal-5504	99	3	aug	aug	PROPN
american_scientific_journal-5504	99	4	.	.	PROPN
american_scientific_journal-5504	99	5	2018	2018	NUM
american_scientific_journal-5504	99	6	.	.	PUNCT
american_scientific_journal-5504	100	1	[	[	X
american_scientific_journal-5504	100	2	8	8	NUM
american_scientific_journal-5504	100	3	]	]	X
american_scientific_journal-5504	100	4	g.	g.	PROPN
american_scientific_journal-5504	100	5	p.	p.	PROPN
american_scientific_journal-5504	100	6	s.	s.	PROPN
american_scientific_journal-5504	100	7	rathore	rathore	PROPN
american_scientific_journal-5504	100	8	,	,	PUNCT
american_scientific_journal-5504	100	9	a	a	DET
american_scientific_journal-5504	100	10	a	a	DET
american_scientific_journal-5504	100	11	wani	wani	NOUN
american_scientific_journal-5504	100	12	and	and	CCONJ
american_scientific_journal-5504	100	13	k	k	PROPN
american_scientific_journal-5504	100	14	sisodiya	sisodiya	ADJ
american_scientific_journal-5504	100	15	“	"	PUNCT
american_scientific_journal-5504	100	16	matrix	matrix	NOUN
american_scientific_journal-5504	100	17	representation	representation	NOUN
american_scientific_journal-5504	100	18	of	of	ADP
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american_scientific_journal-5504	100	20	k	k	PROPN
american_scientific_journal-5504	100	21	-	-	PUNCT
american_scientific_journal-5504	100	22	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	100	23	sequence	sequence	NOUN
american_scientific_journal-5504	100	24	”	"	PUNCT
american_scientific_journal-5504	100	25	,	,	PUNCT
american_scientific_journal-5504	100	26	osr	osr	PROPN
american_scientific_journal-5504	100	27	journal	journal	NOUN
american_scientific_journal-5504	100	28	of	of	ADP
american_scientific_journal-5504	100	29	mathematics	mathematics	PROPN
american_scientific_journal-5504	100	30	,	,	PUNCT
american_scientific_journal-5504	100	31	vol	vol	NOUN
american_scientific_journal-5504	100	32	,	,	PUNCT
american_scientific_journal-5504	100	33	12	12	NUM
american_scientific_journal-5504	100	34	,	,	PUNCT
american_scientific_journal-5504	100	35	pp	pp	ADJ
american_scientific_journal-5504	100	36	.	.	PUNCT
american_scientific_journal-5504	101	1	67–72	67–72	NUM
american_scientific_journal-5504	101	2	,	,	PUNCT
american_scientific_journal-5504	101	3	jan	jan	PROPN
american_scientific_journal-5504	101	4	.	.	PROPN
american_scientific_journal-5504	101	5	2016	2016	NUM
american_scientific_journal-5504	101	6	.	.	PUNCT
american_scientific_journal-5504	102	1	[	[	X
american_scientific_journal-5504	102	2	9	9	NUM
american_scientific_journal-5504	102	3	]	]	PUNCT
american_scientific_journal-5504	102	4	t	t	PROPN
american_scientific_journal-5504	102	5	wahyuni	wahyuni	PROPN
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american_scientific_journal-5504	102	8	and	and	CCONJ
american_scientific_journal-5504	102	9	syamsudhuha	syamsudhuha	VERB
american_scientific_journal-5504	102	10	“	"	PUNCT
american_scientific_journal-5504	102	11	on	on	ADP
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american_scientific_journal-5504	102	14	of	of	ADP
american_scientific_journal-5504	102	15	k	k	PROPN
american_scientific_journal-5504	102	16	-	-	PUNCT
american_scientific_journal-5504	102	17	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	102	18	sequences	sequence	NOUN
american_scientific_journal-5504	102	19	modulo	modulo	PROPN
american_scientific_journal-5504	102	20	ring	ring	NOUN
american_scientific_journal-5504	102	21	z6danz10	z6danz10	PUNCT
american_scientific_journal-5504	102	22	“	"	PUNCT
american_scientific_journal-5504	102	23	applied	apply	VERB
american_scientific_journal-5504	102	24	mathematical	mathematical	ADJ
american_scientific_journal-5504	102	25	sciences	science	NOUN
american_scientific_journal-5504	102	26	,	,	PUNCT
american_scientific_journal-5504	102	27	vol	vol	NOUN
american_scientific_journal-5504	102	28	.	.	PROPN
american_scientific_journal-5504	102	29	12	12	NUM
american_scientific_journal-5504	102	30	,	,	PUNCT
american_scientific_journal-5504	102	31	pp	pp	ADJ
american_scientific_journal-5504	102	32	.	.	PUNCT
american_scientific_journal-5504	103	1	441–448	441–448	NUM
american_scientific_journal-5504	103	2	,	,	PUNCT
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american_scientific_journal-5504	103	4	.	.	PUNCT
american_scientific_journal-5504	104	1	2018	2018	NUM
american_scientific_journal-5504	104	2	.	.	PUNCT
american_scientific_journal-5504	105	1	[	[	X
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american_scientific_journal-5504	105	4	w	w	PROPN
american_scientific_journal-5504	105	5	wang	wang	PROPN
american_scientific_journal-5504	105	6	and	and	CCONJ
american_scientific_journal-5504	105	7	t	t	PROPN
american_scientific_journal-5504	105	8	wang	wang	PROPN
american_scientific_journal-5504	105	9	“	"	PUNCT
american_scientific_journal-5504	105	10	identities	identity	NOUN
american_scientific_journal-5504	105	11	via	via	ADP
american_scientific_journal-5504	105	12	bell	bell	NOUN
american_scientific_journal-5504	105	13	matrix	matrix	NOUN
american_scientific_journal-5504	105	14	and	and	CCONJ
american_scientific_journal-5504	105	15	fibonacci	fibonacci	NOUN
american_scientific_journal-5504	105	16	matrix	matrix	NOUN
american_scientific_journal-5504	105	17	”	"	PUNCT
american_scientific_journal-5504	105	18	discrete	discrete	ADJ
american_scientific_journal-5504	105	19	applied	apply	VERB
american_scientific_journal-5504	105	20	mathematics	mathematic	NOUN
american_scientific_journal-5504	105	21	,	,	PUNCT
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american_scientific_journal-5504	105	23	.	.	PROPN
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american_scientific_journal-5504	106	2	,	,	PUNCT
american_scientific_journal-5504	106	3	pp	pp	ADJ
american_scientific_journal-5504	106	4	.	.	PUNCT
american_scientific_journal-5504	107	1	2793–2803	2793–2803	NUM
american_scientific_journal-5504	107	2	,	,	PUNCT
american_scientific_journal-5504	107	3	feb.2008	feb.2008	NOUN
american_scientific_journal-5504	107	4	.	.	PUNCT
american_scientific_journal-5504	108	1	[	[	X
american_scientific_journal-5504	108	2	11	11	NUM
american_scientific_journal-5504	108	3	]	]	X
american_scientific_journal-5504	108	4	w.	w.	PROPN
american_scientific_journal-5504	108	5	wang	wang	PROPN
american_scientific_journal-5504	108	6	and	and	CCONJ
american_scientific_journal-5504	108	7	t	t	PROPN
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american_scientific_journal-5504	108	9	“	"	PUNCT
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american_scientific_journal-5504	108	13	the	the	DET
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american_scientific_journal-5504	108	16	”	"	PUNCT
american_scientific_journal-5504	108	17	linear	linear	ADJ
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american_scientific_journal-5504	108	19	and	and	CCONJ
american_scientific_journal-5504	108	20	its	its	PRON
american_scientific_journal-5504	108	21	applications	application	NOUN
american_scientific_journal-5504	108	22	,	,	PUNCT
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american_scientific_journal-5504	108	24	.	.	PROPN
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american_scientific_journal-5504	108	26	,	,	PUNCT
american_scientific_journal-5504	108	27	pp.139–154	pp.139–154	VERB
american_scientific_journal-5504	108	28	,	,	PUNCT
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american_scientific_journal-5504	108	30	.	.	PROPN
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american_scientific_journal-5504	108	32	.	.	PUNCT