id	sid	tid	token	lemma	pos
ejpam-6351	1	1	european	european	PROPN
ejpam-6351	1	2	journal	journal	PROPN
ejpam-6351	1	3	of	of	ADP
ejpam-6351	1	4	pure	pure	ADJ
ejpam-6351	1	5	and	and	CCONJ
ejpam-6351	1	6	applied	applied	ADJ
ejpam-6351	1	7	mathematics	mathematic	NOUN
ejpam-6351	1	8	2025	2025	NUM
ejpam-6351	1	9	,	,	PUNCT
ejpam-6351	1	10	vol	vol	NOUN
ejpam-6351	1	11	.	.	PROPN
ejpam-6351	1	12	18	18	NUM
ejpam-6351	1	13	,	,	PUNCT
ejpam-6351	1	14	issue	issue	NOUN
ejpam-6351	1	15	3	3	NUM
ejpam-6351	1	16	,	,	PUNCT
ejpam-6351	1	17	article	article	NOUN
ejpam-6351	1	18	number	number	NOUN
ejpam-6351	1	19	6351	6351	NUM
ejpam-6351	1	20	issn	issn	PROPN
ejpam-6351	1	21	1307	1307	NUM
ejpam-6351	1	22	-	-	SYM
ejpam-6351	1	23	5543	5543	NUM
ejpam-6351	1	24	–	–	PUNCT
ejpam-6351	1	25	ejpam.com	ejpam.com	X
ejpam-6351	1	26	published	publish	VERB
ejpam-6351	1	27	by	by	ADP
ejpam-6351	1	28	new	new	PROPN
ejpam-6351	1	29	york	york	PROPN
ejpam-6351	1	30	business	business	PROPN
ejpam-6351	1	31	global	global	ADJ
ejpam-6351	1	32	application	application	NOUN
ejpam-6351	1	33	of	of	ADP
ejpam-6351	1	34	search	search	NOUN
ejpam-6351	1	35	algorithms	algorithm	NOUN
ejpam-6351	1	36	to	to	ADP
ejpam-6351	1	37	root	root	NOUN
ejpam-6351	1	38	-	-	PUNCT
ejpam-6351	1	39	finding	find	VERB
ejpam-6351	1	40	problems	problem	NOUN
ejpam-6351	1	41	in	in	ADP
ejpam-6351	1	42	algebraic	algebraic	ADJ
ejpam-6351	1	43	and	and	CCONJ
ejpam-6351	1	44	transcendental	transcendental	ADJ
ejpam-6351	1	45	contexts	context	NOUN
ejpam-6351	1	46	bayram	bayram	PROPN
ejpam-6351	1	47	köse1	köse1	PROPN
ejpam-6351	1	48	,	,	PUNCT
ejpam-6351	1	49	bahar	bahar	PROPN
ejpam-6351	1	50	demirtürk2,∗	demirtürk2,∗	PROPN
ejpam-6351	1	51	,	,	PUNCT
ejpam-6351	1	52	şükran	şükran	PROPN
ejpam-6351	1	53	konca2	konca2	NOUN
ejpam-6351	1	54	1	1	NUM
ejpam-6351	1	55	electric	electric	ADJ
ejpam-6351	1	56	-	-	PUNCT
ejpam-6351	1	57	electronic	electronic	ADJ
ejpam-6351	1	58	engineering	engineering	NOUN
ejpam-6351	1	59	department	department	NOUN
ejpam-6351	1	60	,	,	PUNCT
ejpam-6351	1	61	engineering	engineering	NOUN
ejpam-6351	1	62	and	and	CCONJ
ejpam-6351	1	63	architecture	architecture	NOUN
ejpam-6351	1	64	faculty	faculty	NOUN
ejpam-6351	1	65	,	,	PUNCT
ejpam-6351	1	66	izmir	izmir	NOUN
ejpam-6351	1	67	bakırçay	bakırçay	ADJ
ejpam-6351	1	68	university	university	NOUN
ejpam-6351	1	69	,	,	PUNCT
ejpam-6351	1	70	izmir	izmir	PROPN
ejpam-6351	1	71	,	,	PUNCT
ejpam-6351	1	72	türkiye	türkiye	NOUN
ejpam-6351	1	73	2	2	NUM
ejpam-6351	1	74	fundamental	fundamental	ADJ
ejpam-6351	1	75	sciences	sciences	PROPN
ejpam-6351	1	76	department	department	NOUN
ejpam-6351	1	77	,	,	PUNCT
ejpam-6351	1	78	engineering	engineering	NOUN
ejpam-6351	1	79	and	and	CCONJ
ejpam-6351	1	80	architecture	architecture	NOUN
ejpam-6351	1	81	faculty	faculty	NOUN
ejpam-6351	1	82	,	,	PUNCT
ejpam-6351	1	83	izmir	izmir	NOUN
ejpam-6351	1	84	bakırçay	bakırçay	ADJ
ejpam-6351	1	85	university	university	NOUN
ejpam-6351	1	86	,	,	PUNCT
ejpam-6351	1	87	izmir	izmir	PROPN
ejpam-6351	1	88	,	,	PUNCT
ejpam-6351	1	89	türkiye	türkiye	NOUN
ejpam-6351	1	90	abstract	abstract	NOUN
ejpam-6351	1	91	.	.	PUNCT
ejpam-6351	2	1	in	in	ADP
ejpam-6351	2	2	this	this	DET
ejpam-6351	2	3	study	study	NOUN
ejpam-6351	2	4	,	,	PUNCT
ejpam-6351	2	5	the	the	DET
ejpam-6351	2	6	bisection	bisection	NOUN
ejpam-6351	2	7	algorithm	algorithm	NOUN
ejpam-6351	2	8	,	,	PUNCT
ejpam-6351	2	9	golden	golden	ADJ
ejpam-6351	2	10	ratio	ratio	NOUN
ejpam-6351	2	11	and	and	CCONJ
ejpam-6351	2	12	fibonacci	fibonacci	NOUN
ejpam-6351	2	13	search	search	NOUN
ejpam-6351	2	14	algorithms	algorithm	NOUN
ejpam-6351	2	15	are	be	AUX
ejpam-6351	2	16	used	use	VERB
ejpam-6351	2	17	to	to	PART
ejpam-6351	2	18	find	find	VERB
ejpam-6351	2	19	the	the	DET
ejpam-6351	2	20	roots	root	NOUN
ejpam-6351	2	21	of	of	ADP
ejpam-6351	2	22	logarithmic	logarithmic	ADJ
ejpam-6351	2	23	,	,	PUNCT
ejpam-6351	2	24	trigonometric	trigonometric	ADJ
ejpam-6351	2	25	,	,	PUNCT
ejpam-6351	2	26	exponential	exponential	NOUN
ejpam-6351	2	27	,	,	PUNCT
ejpam-6351	2	28	and	and	CCONJ
ejpam-6351	2	29	polynomial	polynomial	ADJ
ejpam-6351	2	30	functions	function	NOUN
ejpam-6351	2	31	.	.	PUNCT
ejpam-6351	3	1	the	the	DET
ejpam-6351	3	2	results	result	NOUN
ejpam-6351	3	3	obtained	obtain	VERB
ejpam-6351	3	4	from	from	ADP
ejpam-6351	3	5	these	these	DET
ejpam-6351	3	6	methods	method	NOUN
ejpam-6351	3	7	are	be	AUX
ejpam-6351	3	8	compared	compare	VERB
ejpam-6351	3	9	,	,	PUNCT
ejpam-6351	3	10	and	and	CCONJ
ejpam-6351	3	11	the	the	DET
ejpam-6351	3	12	fundamental	fundamental	ADJ
ejpam-6351	3	13	principles	principle	NOUN
ejpam-6351	3	14	,	,	PUNCT
ejpam-6351	3	15	advantages	advantage	NOUN
ejpam-6351	3	16	,	,	PUNCT
ejpam-6351	3	17	and	and	CCONJ
ejpam-6351	3	18	disadvantages	disadvantage	NOUN
ejpam-6351	3	19	of	of	ADP
ejpam-6351	3	20	each	each	DET
ejpam-6351	3	21	algorithm	algorithm	NOUN
ejpam-6351	3	22	are	be	AUX
ejpam-6351	3	23	discussed	discuss	VERB
ejpam-6351	3	24	in	in	ADP
ejpam-6351	3	25	terms	term	NOUN
ejpam-6351	3	26	of	of	ADP
ejpam-6351	3	27	numerical	numerical	ADJ
ejpam-6351	3	28	stability	stability	NOUN
ejpam-6351	3	29	.	.	PUNCT
ejpam-6351	4	1	the	the	DET
ejpam-6351	4	2	approximation	approximation	NOUN
ejpam-6351	4	3	to	to	ADP
ejpam-6351	4	4	the	the	DET
ejpam-6351	4	5	root	root	NOUN
ejpam-6351	4	6	with	with	ADP
ejpam-6351	4	7	minimal	minimal	ADJ
ejpam-6351	4	8	error	error	NOUN
ejpam-6351	4	9	and	and	CCONJ
ejpam-6351	4	10	the	the	DET
ejpam-6351	4	11	fewest	few	ADJ
ejpam-6351	4	12	steps	step	NOUN
ejpam-6351	4	13	is	be	AUX
ejpam-6351	4	14	analyzed	analyze	VERB
ejpam-6351	4	15	.	.	PUNCT
ejpam-6351	5	1	the	the	DET
ejpam-6351	5	2	study	study	NOUN
ejpam-6351	5	3	concludes	conclude	VERB
ejpam-6351	5	4	with	with	ADP
ejpam-6351	5	5	results	result	NOUN
ejpam-6351	5	6	and	and	CCONJ
ejpam-6351	5	7	recommendations	recommendation	NOUN
ejpam-6351	5	8	based	base	VERB
ejpam-6351	5	9	on	on	ADP
ejpam-6351	5	10	comparative	comparative	ADJ
ejpam-6351	5	11	analysis	analysis	NOUN
ejpam-6351	5	12	.	.	PUNCT
ejpam-6351	6	1	2020	2020	NUM
ejpam-6351	6	2	mathematics	mathematic	NOUN
ejpam-6351	6	3	subject	subject	NOUN
ejpam-6351	6	4	classifications	classification	NOUN
ejpam-6351	6	5	:	:	PUNCT
ejpam-6351	6	6	65h04	65h04	NUM
ejpam-6351	6	7	,	,	PUNCT
ejpam-6351	6	8	65hxx	65hxx	ADV
ejpam-6351	6	9	,	,	PUNCT
ejpam-6351	6	10	65k10	65k10	NUM
ejpam-6351	6	11	,	,	PUNCT
ejpam-6351	6	12	68w25	68w25	NUM
ejpam-6351	6	13	key	key	ADJ
ejpam-6351	6	14	words	word	NOUN
ejpam-6351	6	15	and	and	CCONJ
ejpam-6351	6	16	phrases	phrase	NOUN
ejpam-6351	6	17	:	:	PUNCT
ejpam-6351	6	18	root	root	NOUN
ejpam-6351	6	19	-	-	PUNCT
ejpam-6351	6	20	finding	find	VERB
ejpam-6351	6	21	algorithms	algorithm	NOUN
ejpam-6351	6	22	,	,	PUNCT
ejpam-6351	6	23	optimization	optimization	NOUN
ejpam-6351	6	24	,	,	PUNCT
ejpam-6351	6	25	binary	binary	ADJ
ejpam-6351	6	26	search	search	NOUN
ejpam-6351	6	27	algorithm	algorithm	NOUN
ejpam-6351	6	28	,	,	PUNCT
ejpam-6351	6	29	golden	golden	ADJ
ejpam-6351	6	30	ratio	ratio	NOUN
ejpam-6351	6	31	search	search	NOUN
ejpam-6351	6	32	algorithm	algorithm	NOUN
ejpam-6351	6	33	,	,	PUNCT
ejpam-6351	6	34	fibonacci	fibonacci	NOUN
ejpam-6351	6	35	search	search	NOUN
ejpam-6351	6	36	algorithm	algorithm	NOUN
ejpam-6351	6	37	1	1	NUM
ejpam-6351	6	38	.	.	PUNCT
ejpam-6351	6	39	introduction	introduction	NOUN
ejpam-6351	6	40	an	an	DET
ejpam-6351	6	41	algorithm	algorithm	NOUN
ejpam-6351	6	42	is	be	AUX
ejpam-6351	6	43	a	a	DET
ejpam-6351	6	44	specific	specific	ADJ
ejpam-6351	6	45	step	step	NOUN
ejpam-6351	6	46	-	-	PUNCT
ejpam-6351	6	47	by	by	ADP
ejpam-6351	6	48	-	-	PUNCT
ejpam-6351	6	49	step	step	NOUN
ejpam-6351	6	50	procedure	procedure	NOUN
ejpam-6351	6	51	for	for	ADP
ejpam-6351	6	52	solving	solve	VERB
ejpam-6351	6	53	a	a	DET
ejpam-6351	6	54	problem	problem	NOUN
ejpam-6351	6	55	or	or	CCONJ
ejpam-6351	6	56	completing	complete	VERB
ejpam-6351	6	57	a	a	DET
ejpam-6351	6	58	task	task	NOUN
ejpam-6351	6	59	.	.	PUNCT
ejpam-6351	7	1	focuses	focus	VERB
ejpam-6351	7	2	on	on	ADP
ejpam-6351	7	3	the	the	DET
ejpam-6351	7	4	process	process	NOUN
ejpam-6351	7	5	and	and	CCONJ
ejpam-6351	7	6	logic	logic	NOUN
ejpam-6351	7	7	to	to	PART
ejpam-6351	7	8	arrive	arrive	VERB
ejpam-6351	7	9	at	at	ADP
ejpam-6351	7	10	a	a	DET
ejpam-6351	7	11	solution	solution	NOUN
ejpam-6351	7	12	.	.	PUNCT
ejpam-6351	8	1	root	root	NOUN
ejpam-6351	8	2	-	-	PUNCT
ejpam-6351	8	3	finding	find	VERB
ejpam-6351	8	4	algorithms	algorithm	NOUN
ejpam-6351	8	5	are	be	AUX
ejpam-6351	8	6	essential	essential	ADJ
ejpam-6351	8	7	tools	tool	NOUN
ejpam-6351	8	8	in	in	ADP
ejpam-6351	8	9	mathematics	mathematic	NOUN
ejpam-6351	8	10	and	and	CCONJ
ejpam-6351	8	11	computational	computational	ADJ
ejpam-6351	8	12	sciences	science	NOUN
ejpam-6351	8	13	for	for	ADP
ejpam-6351	8	14	locating	locate	VERB
ejpam-6351	8	15	the	the	DET
ejpam-6351	8	16	zeros	zero	NOUN
ejpam-6351	8	17	of	of	ADP
ejpam-6351	8	18	continuous	continuous	ADJ
ejpam-6351	8	19	functions	function	NOUN
ejpam-6351	8	20	within	within	ADP
ejpam-6351	8	21	a	a	DET
ejpam-6351	8	22	given	give	VERB
ejpam-6351	8	23	interval	interval	NOUN
ejpam-6351	8	24	.	.	PUNCT
ejpam-6351	9	1	the	the	DET
ejpam-6351	9	2	goal	goal	NOUN
ejpam-6351	9	3	is	be	AUX
ejpam-6351	9	4	to	to	PART
ejpam-6351	9	5	identify	identify	VERB
ejpam-6351	9	6	the	the	DET
ejpam-6351	9	7	value	value	NOUN
ejpam-6351	9	8	x	x	PUNCT
ejpam-6351	10	1	such	such	ADJ
ejpam-6351	10	2	that	that	SCONJ
ejpam-6351	10	3	f	f	PROPN
ejpam-6351	10	4	(	(	PUNCT
ejpam-6351	10	5	x	x	X
ejpam-6351	10	6	)	)	PUNCT
ejpam-6351	10	7	=	=	SYM
ejpam-6351	10	8	0	0	NUM
ejpam-6351	10	9	,	,	PUNCT
ejpam-6351	10	10	or	or	CCONJ
ejpam-6351	10	11	to	to	PART
ejpam-6351	10	12	approximate	approximate	VERB
ejpam-6351	10	13	this	this	DET
ejpam-6351	10	14	root	root	NOUN
ejpam-6351	10	15	when	when	SCONJ
ejpam-6351	10	16	an	an	DET
ejpam-6351	10	17	exact	exact	ADJ
ejpam-6351	10	18	solution	solution	NOUN
ejpam-6351	10	19	is	be	AUX
ejpam-6351	10	20	not	not	PART
ejpam-6351	10	21	possible	possible	ADJ
ejpam-6351	10	22	.	.	PUNCT
ejpam-6351	11	1	these	these	DET
ejpam-6351	11	2	algorithms	algorithm	NOUN
ejpam-6351	11	3	are	be	AUX
ejpam-6351	11	4	particularly	particularly	ADV
ejpam-6351	11	5	useful	useful	ADJ
ejpam-6351	11	6	for	for	ADP
ejpam-6351	11	7	solving	solve	VERB
ejpam-6351	11	8	equations	equation	NOUN
ejpam-6351	11	9	of	of	ADP
ejpam-6351	11	10	the	the	DET
ejpam-6351	11	11	form	form	NOUN
ejpam-6351	11	12	g(x)=h(x	g(x)=h(x	PROPN
ejpam-6351	11	13	)	)	PUNCT
ejpam-6351	11	14	,	,	PUNCT
ejpam-6351	11	15	which	which	PRON
ejpam-6351	11	16	can	can	AUX
ejpam-6351	11	17	be	be	AUX
ejpam-6351	11	18	transformed	transform	VERB
ejpam-6351	11	19	into	into	ADP
ejpam-6351	11	20	finding	find	VERB
ejpam-6351	11	21	the	the	DET
ejpam-6351	11	22	root	root	NOUN
ejpam-6351	11	23	of	of	ADP
ejpam-6351	11	24	f(x)=g(x)-h(x	f(x)=g(x)-h(x	NOUN
ejpam-6351	11	25	)	)	PUNCT
ejpam-6351	11	26	.	.	PUNCT
ejpam-6351	12	1	in	in	ADP
ejpam-6351	12	2	many	many	ADJ
ejpam-6351	12	3	mathematical	mathematical	ADJ
ejpam-6351	12	4	problems	problem	NOUN
ejpam-6351	12	5	that	that	PRON
ejpam-6351	12	6	can	can	AUX
ejpam-6351	12	7	not	not	PART
ejpam-6351	12	8	be	be	AUX
ejpam-6351	12	9	solved	solve	VERB
ejpam-6351	12	10	analytically	analytically	ADV
ejpam-6351	12	11	to	to	PART
ejpam-6351	12	12	find	find	VERB
ejpam-6351	12	13	an	an	DET
ejpam-6351	12	14	exact	exact	ADJ
ejpam-6351	12	15	solution	solution	NOUN
ejpam-6351	12	16	,	,	PUNCT
ejpam-6351	12	17	the	the	DET
ejpam-6351	12	18	only	only	ADJ
ejpam-6351	12	19	way	way	NOUN
ejpam-6351	12	20	to	to	PART
ejpam-6351	12	21	predict	predict	VERB
ejpam-6351	12	22	the	the	DET
ejpam-6351	12	23	solution	solution	NOUN
ejpam-6351	12	24	of	of	ADP
ejpam-6351	12	25	this	this	DET
ejpam-6351	12	26	problem	problem	NOUN
ejpam-6351	12	27	is	be	AUX
ejpam-6351	12	28	to	to	PART
ejpam-6351	12	29	obtain	obtain	VERB
ejpam-6351	12	30	values	value	NOUN
ejpam-6351	12	31	that	that	PRON
ejpam-6351	12	32	can	can	AUX
ejpam-6351	12	33	represent	represent	VERB
ejpam-6351	12	34	the	the	DET
ejpam-6351	12	35	solution	solution	NOUN
ejpam-6351	12	36	of	of	ADP
ejpam-6351	12	37	the	the	DET
ejpam-6351	12	38	problem	problem	NOUN
ejpam-6351	12	39	by	by	ADP
ejpam-6351	12	40	approaching	approach	VERB
ejpam-6351	12	41	the	the	DET
ejpam-6351	12	42	problem	problem	NOUN
ejpam-6351	12	43	with	with	ADP
ejpam-6351	12	44	numerical	numerical	ADJ
ejpam-6351	12	45	methods	method	NOUN
ejpam-6351	12	46	and	and	CCONJ
ejpam-6351	12	47	computational	computational	ADJ
ejpam-6351	12	48	science	science	NOUN
ejpam-6351	12	49	using	use	VERB
ejpam-6351	12	50	algorithms	algorithm	NOUN
ejpam-6351	12	51	.	.	PUNCT
ejpam-6351	13	1	the	the	DET
ejpam-6351	13	2	root	root	NOUN
ejpam-6351	13	3	finding	find	VERB
ejpam-6351	13	4	algorithms	algorithm	NOUN
ejpam-6351	13	5	aim	aim	VERB
ejpam-6351	13	6	to	to	PART
ejpam-6351	13	7	find	find	VERB
ejpam-6351	13	8	the	the	DET
ejpam-6351	13	9	minimum	minimum	ADJ
ejpam-6351	13	10	value	value	NOUN
ejpam-6351	13	11	of	of	ADP
ejpam-6351	13	12	the	the	DET
ejpam-6351	13	13	absolute	absolute	ADJ
ejpam-6351	13	14	value	value	NOUN
ejpam-6351	13	15	of	of	ADP
ejpam-6351	13	16	a	a	DET
ejpam-6351	13	17	function	function	NOUN
ejpam-6351	13	18	.	.	PUNCT
ejpam-6351	14	1	the	the	DET
ejpam-6351	14	2	root	root	NOUN
ejpam-6351	14	3	search	search	NOUN
ejpam-6351	14	4	method	method	NOUN
ejpam-6351	14	5	calculates	calculate	VERB
ejpam-6351	14	6	the	the	DET
ejpam-6351	14	7	values	value	NOUN
ejpam-6351	14	8	of	of	ADP
ejpam-6351	14	9	the	the	DET
ejpam-6351	14	10	functions	function	NOUN
ejpam-6351	14	11	at	at	ADP
ejpam-6351	14	12	various	various	ADJ
ejpam-6351	14	13	∗corresponding	∗corresponde	VERB
ejpam-6351	14	14	author	author	NOUN
ejpam-6351	14	15	.	.	PUNCT
ejpam-6351	15	1	doi	doi	NOUN
ejpam-6351	15	2	:	:	PUNCT
ejpam-6351	15	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6351	https://doi.org/10.29020/nybg.ejpam.v18i3.6351	NOUN
ejpam-6351	15	4	email	email	NOUN
ejpam-6351	15	5	addresses	address	NOUN
ejpam-6351	15	6	:	:	PUNCT
ejpam-6351	15	7	bayram.kose@bakircay.edu.tr	bayram.kose@bakircay.edu.tr	PROPN
ejpam-6351	15	8	(	(	PUNCT
ejpam-6351	15	9	b.	b.	PROPN
ejpam-6351	15	10	köse	köse	PROPN
ejpam-6351	15	11	)	)	PUNCT
ejpam-6351	15	12	,	,	PUNCT
ejpam-6351	15	13	bahar.demirturk@bakircay.edu.tr	bahar.demirturk@bakircay.edu.tr	PROPN
ejpam-6351	15	14	(	(	PUNCT
ejpam-6351	15	15	b.	b.	PROPN
ejpam-6351	15	16	demirtürk	demirtürk	PROPN
ejpam-6351	15	17	)	)	PUNCT
ejpam-6351	15	18	,	,	PUNCT
ejpam-6351	15	19	sukran.konca@bakircay.edu.tr	sukran.konca@bakircay.edu.tr	ADV
ejpam-6351	15	20	(	(	PUNCT
ejpam-6351	15	21	ş.	ş.	PROPN
ejpam-6351	15	22	konca	konca	PROPN
ejpam-6351	15	23	)	)	PUNCT
ejpam-6351	15	24	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6351	16	1	1	1	NUM
ejpam-6351	16	2	copyright	copyright	NOUN
ejpam-6351	16	3	:	:	PUNCT
ejpam-6351	16	4	©	©	PROPN
ejpam-6351	16	5	2025	2025	NUM
ejpam-6351	16	6	the	the	DET
ejpam-6351	16	7	author(s	author(s	NOUN
ejpam-6351	16	8	)	)	PUNCT
ejpam-6351	16	9	.	.	PUNCT
ejpam-6351	17	1	(	(	PUNCT
ejpam-6351	17	2	cc	cc	NOUN
ejpam-6351	17	3	by	by	ADP
ejpam-6351	17	4	-	-	PUNCT
ejpam-6351	17	5	nc	nc	PROPN
ejpam-6351	17	6	4.0	4.0	NUM
ejpam-6351	17	7	)	)	PUNCT
ejpam-6351	17	8	b.	b.	PROPN
ejpam-6351	17	9	köse	köse	PROPN
ejpam-6351	17	10	,	,	PUNCT
ejpam-6351	17	11	b.	b.	PROPN
ejpam-6351	17	12	demirtürk	demirtürk	PROPN
ejpam-6351	17	13	,	,	PUNCT
ejpam-6351	17	14	ş.	ş.	PROPN
ejpam-6351	17	15	konca	konca	PROPN
ejpam-6351	17	16	/	/	SYM
ejpam-6351	17	17	eur	eur	PROPN
ejpam-6351	17	18	.	.	PUNCT
ejpam-6351	18	1	j.	j.	PROPN
ejpam-6351	18	2	pure	pure	PROPN
ejpam-6351	18	3	appl	appl	PROPN
ejpam-6351	18	4	.	.	PROPN
ejpam-6351	18	5	math	math	PROPN
ejpam-6351	18	6	,	,	PUNCT
ejpam-6351	18	7	18	18	NUM
ejpam-6351	18	8	(	(	PUNCT
ejpam-6351	18	9	3	3	NUM
ejpam-6351	18	10	)	)	PUNCT
ejpam-6351	18	11	(	(	PUNCT
ejpam-6351	18	12	2025	2025	NUM
ejpam-6351	18	13	)	)	PUNCT
ejpam-6351	18	14	,	,	PUNCT
ejpam-6351	18	15	6351	6351	NUM
ejpam-6351	18	16	2	2	NUM
ejpam-6351	18	17	of	of	ADP
ejpam-6351	18	18	22	22	NUM
ejpam-6351	18	19	points	point	NOUN
ejpam-6351	18	20	within	within	ADP
ejpam-6351	18	21	an	an	DET
ejpam-6351	18	22	interval	interval	NOUN
ejpam-6351	18	23	to	to	PART
ejpam-6351	18	24	locate	locate	VERB
ejpam-6351	18	25	the	the	DET
ejpam-6351	18	26	point	point	NOUN
ejpam-6351	18	27	closest	close	ADJ
ejpam-6351	18	28	to	to	ADP
ejpam-6351	18	29	zero	zero	NUM
ejpam-6351	18	30	,	,	PUNCT
ejpam-6351	18	31	indicating	indicate	VERB
ejpam-6351	18	32	the	the	DET
ejpam-6351	18	33	minimum	minimum	NOUN
ejpam-6351	18	34	of	of	ADP
ejpam-6351	18	35	the	the	DET
ejpam-6351	18	36	function	function	NOUN
ejpam-6351	18	37	.	.	PUNCT
ejpam-6351	19	1	most	most	ADJ
ejpam-6351	19	2	algorithms	algorithm	NOUN
ejpam-6351	19	3	do	do	AUX
ejpam-6351	19	4	not	not	PART
ejpam-6351	19	5	guarantee	guarantee	VERB
ejpam-6351	19	6	finding	find	VERB
ejpam-6351	19	7	all	all	DET
ejpam-6351	19	8	possible	possible	ADJ
ejpam-6351	19	9	roots	root	NOUN
ejpam-6351	19	10	,	,	PUNCT
ejpam-6351	19	11	and	and	CCONJ
ejpam-6351	19	12	the	the	DET
ejpam-6351	19	13	absence	absence	NOUN
ejpam-6351	19	14	of	of	ADP
ejpam-6351	19	15	a	a	DET
ejpam-6351	19	16	root	root	NOUN
ejpam-6351	19	17	in	in	ADP
ejpam-6351	19	18	the	the	DET
ejpam-6351	19	19	results	result	NOUN
ejpam-6351	19	20	does	do	AUX
ejpam-6351	19	21	not	not	PART
ejpam-6351	19	22	necessarily	necessarily	ADV
ejpam-6351	19	23	imply	imply	VERB
ejpam-6351	19	24	that	that	SCONJ
ejpam-6351	19	25	no	no	DET
ejpam-6351	19	26	roots	root	NOUN
ejpam-6351	19	27	exist	exist	VERB
ejpam-6351	19	28	and	and	CCONJ
ejpam-6351	19	29	potentially	potentially	ADV
ejpam-6351	19	30	may	may	AUX
ejpam-6351	19	31	requiring	require	VERB
ejpam-6351	19	32	many	many	ADJ
ejpam-6351	19	33	calculations	calculation	NOUN
ejpam-6351	19	34	.	.	PUNCT
ejpam-6351	20	1	therefore	therefore	ADV
ejpam-6351	20	2	,	,	PUNCT
ejpam-6351	20	3	more	more	ADV
ejpam-6351	20	4	efficient	efficient	ADJ
ejpam-6351	20	5	and	and	CCONJ
ejpam-6351	20	6	faster	fast	ADJ
ejpam-6351	20	7	optimization	optimization	NOUN
ejpam-6351	20	8	algorithms	algorithm	NOUN
ejpam-6351	20	9	have	have	AUX
ejpam-6351	20	10	been	be	AUX
ejpam-6351	20	11	developed	develop	VERB
ejpam-6351	20	12	.	.	PUNCT
ejpam-6351	21	1	root	root	NOUN
ejpam-6351	21	2	finding	finding	NOUN
ejpam-6351	21	3	plays	play	VERB
ejpam-6351	21	4	a	a	DET
ejpam-6351	21	5	critical	critical	ADJ
ejpam-6351	21	6	role	role	NOUN
ejpam-6351	21	7	in	in	ADP
ejpam-6351	21	8	various	various	ADJ
ejpam-6351	21	9	engineering	engineering	NOUN
ejpam-6351	21	10	applications	application	NOUN
ejpam-6351	21	11	.	.	PUNCT
ejpam-6351	22	1	in	in	ADP
ejpam-6351	22	2	electrical	electrical	ADJ
ejpam-6351	22	3	circuits	circuit	NOUN
ejpam-6351	22	4	,	,	PUNCT
ejpam-6351	22	5	it	it	PRON
ejpam-6351	22	6	helps	help	VERB
ejpam-6351	22	7	to	to	PART
ejpam-6351	22	8	analyze	analyze	VERB
ejpam-6351	22	9	transfer	transfer	NOUN
ejpam-6351	22	10	functions	function	NOUN
ejpam-6351	22	11	and	and	CCONJ
ejpam-6351	22	12	characteristic	characteristic	ADJ
ejpam-6351	22	13	equations	equation	NOUN
ejpam-6351	22	14	,	,	PUNCT
ejpam-6351	22	15	while	while	SCONJ
ejpam-6351	22	16	in	in	ADP
ejpam-6351	22	17	control	control	NOUN
ejpam-6351	22	18	systems	system	NOUN
ejpam-6351	22	19	,	,	PUNCT
ejpam-6351	22	20	it	it	PRON
ejpam-6351	22	21	is	be	AUX
ejpam-6351	22	22	crucial	crucial	ADJ
ejpam-6351	22	23	for	for	ADP
ejpam-6351	22	24	stability	stability	NOUN
ejpam-6351	22	25	analysis	analysis	NOUN
ejpam-6351	22	26	.	.	PUNCT
ejpam-6351	23	1	polynomial	polynomial	ADJ
ejpam-6351	23	2	roots	root	NOUN
ejpam-6351	23	3	are	be	AUX
ejpam-6351	23	4	also	also	ADV
ejpam-6351	23	5	used	use	VERB
ejpam-6351	23	6	in	in	ADP
ejpam-6351	23	7	vibration	vibration	NOUN
ejpam-6351	23	8	analysis	analysis	NOUN
ejpam-6351	23	9	,	,	PUNCT
ejpam-6351	23	10	chemical	chemical	NOUN
ejpam-6351	23	11	reaction	reaction	NOUN
ejpam-6351	23	12	modeling	modeling	NOUN
ejpam-6351	23	13	,	,	PUNCT
ejpam-6351	23	14	and	and	CCONJ
ejpam-6351	23	15	mechanical	mechanical	ADJ
ejpam-6351	23	16	system	system	NOUN
ejpam-6351	23	17	dynamics	dynamic	NOUN
ejpam-6351	23	18	,	,	PUNCT
ejpam-6351	23	19	providing	provide	VERB
ejpam-6351	23	20	valuable	valuable	ADJ
ejpam-6351	23	21	information	information	NOUN
ejpam-6351	23	22	on	on	ADP
ejpam-6351	23	23	system	system	NOUN
ejpam-6351	23	24	behavior	behavior	NOUN
ejpam-6351	23	25	.	.	PUNCT
ejpam-6351	24	1	furthermore	furthermore	ADV
ejpam-6351	24	2	,	,	PUNCT
ejpam-6351	24	3	polynomial	polynomial	ADJ
ejpam-6351	24	4	roots	root	NOUN
ejpam-6351	24	5	are	be	AUX
ejpam-6351	24	6	essential	essential	ADJ
ejpam-6351	24	7	in	in	ADP
ejpam-6351	24	8	fields	field	NOUN
ejpam-6351	24	9	such	such	ADJ
ejpam-6351	24	10	as	as	ADP
ejpam-6351	24	11	regression	regression	NOUN
ejpam-6351	24	12	analysis	analysis	NOUN
ejpam-6351	24	13	,	,	PUNCT
ejpam-6351	24	14	image	image	NOUN
ejpam-6351	24	15	filtering	filtering	NOUN
ejpam-6351	24	16	,	,	PUNCT
ejpam-6351	24	17	signal	signal	ADJ
ejpam-6351	24	18	correction	correction	NOUN
ejpam-6351	24	19	,	,	PUNCT
ejpam-6351	24	20	and	and	CCONJ
ejpam-6351	24	21	data	datum	NOUN
ejpam-6351	24	22	compression	compression	NOUN
ejpam-6351	24	23	[	[	X
ejpam-6351	24	24	1	1	NUM
ejpam-6351	24	25	–	–	PUNCT
ejpam-6351	24	26	6	6	NUM
ejpam-6351	24	27	]	]	PUNCT
ejpam-6351	24	28	.	.	PUNCT
ejpam-6351	25	1	some	some	DET
ejpam-6351	25	2	methods	method	NOUN
ejpam-6351	25	3	,	,	PUNCT
ejpam-6351	25	4	like	like	ADP
ejpam-6351	25	5	newton	newton	PROPN
ejpam-6351	25	6	-	-	PUNCT
ejpam-6351	25	7	raphson	raphson	NOUN
ejpam-6351	25	8	,	,	PUNCT
ejpam-6351	25	9	use	use	VERB
ejpam-6351	25	10	derivatives	derivative	NOUN
ejpam-6351	25	11	,	,	PUNCT
ejpam-6351	25	12	while	while	SCONJ
ejpam-6351	25	13	others	other	NOUN
ejpam-6351	25	14	work	work	VERB
ejpam-6351	25	15	in	in	ADP
ejpam-6351	25	16	small	small	ADJ
ejpam-6351	25	17	intervals	interval	NOUN
ejpam-6351	25	18	to	to	PART
ejpam-6351	25	19	converge	converge	VERB
ejpam-6351	25	20	to	to	ADP
ejpam-6351	25	21	a	a	DET
ejpam-6351	25	22	root	root	NOUN
ejpam-6351	25	23	.	.	PUNCT
ejpam-6351	26	1	algorithms	algorithm	NOUN
ejpam-6351	26	2	are	be	AUX
ejpam-6351	26	3	classified	classify	VERB
ejpam-6351	26	4	as	as	ADP
ejpam-6351	26	5	bounded	bound	VERB
ejpam-6351	26	6	(	(	PUNCT
ejpam-6351	26	7	e.g.	e.g.	ADJ
ejpam-6351	26	8	,	,	PUNCT
ejpam-6351	26	9	bisection	bisection	NOUN
ejpam-6351	26	10	,	,	PUNCT
ejpam-6351	26	11	regula	regula	NOUN
ejpam-6351	26	12	falsi	falsi	NOUN
ejpam-6351	26	13	)	)	PUNCT
ejpam-6351	26	14	or	or	CCONJ
ejpam-6351	26	15	unbounded	unbounded	ADJ
ejpam-6351	26	16	(	(	PUNCT
ejpam-6351	26	17	e.g.	e.g.	ADV
ejpam-6351	26	18	,	,	PUNCT
ejpam-6351	26	19	fixed	fix	VERB
ejpam-6351	26	20	-	-	PUNCT
ejpam-6351	26	21	point	point	NOUN
ejpam-6351	26	22	iteration	iteration	NOUN
ejpam-6351	26	23	)	)	PUNCT
ejpam-6351	26	24	.	.	PUNCT
ejpam-6351	27	1	the	the	DET
ejpam-6351	27	2	choice	choice	NOUN
ejpam-6351	27	3	of	of	ADP
ejpam-6351	27	4	algorithm	algorithm	NOUN
ejpam-6351	27	5	depends	depend	VERB
ejpam-6351	27	6	on	on	ADP
ejpam-6351	27	7	the	the	DET
ejpam-6351	27	8	characteristics	characteristic	NOUN
ejpam-6351	27	9	of	of	ADP
ejpam-6351	27	10	the	the	DET
ejpam-6351	27	11	problem	problem	NOUN
ejpam-6351	27	12	[	[	X
ejpam-6351	27	13	7	7	NUM
ejpam-6351	27	14	]	]	PUNCT
ejpam-6351	27	15	.	.	PUNCT
ejpam-6351	28	1	in	in	ADP
ejpam-6351	28	2	[	[	X
ejpam-6351	28	3	8	8	NUM
ejpam-6351	28	4	]	]	PUNCT
ejpam-6351	28	5	,	,	PUNCT
ejpam-6351	28	6	a	a	DET
ejpam-6351	28	7	method	method	NOUN
ejpam-6351	28	8	is	be	AUX
ejpam-6351	28	9	proposed	propose	VERB
ejpam-6351	28	10	to	to	PART
ejpam-6351	28	11	compute	compute	VERB
ejpam-6351	28	12	all	all	DET
ejpam-6351	28	13	the	the	DET
ejpam-6351	28	14	roots	root	NOUN
ejpam-6351	28	15	of	of	ADP
ejpam-6351	28	16	systems	system	NOUN
ejpam-6351	28	17	of	of	ADP
ejpam-6351	28	18	nonlinear	nonlinear	ADJ
ejpam-6351	28	19	algebraic	algebraic	ADJ
ejpam-6351	28	20	equations	equation	NOUN
ejpam-6351	28	21	in	in	ADP
ejpam-6351	28	22	a	a	DET
ejpam-6351	28	23	multidimensional	multidimensional	ADJ
ejpam-6351	28	24	interval	interval	NOUN
ejpam-6351	28	25	.	.	PUNCT
ejpam-6351	29	1	moreover	moreover	ADV
ejpam-6351	29	2	,	,	PUNCT
ejpam-6351	29	3	a	a	DET
ejpam-6351	29	4	graphical	graphical	ADJ
ejpam-6351	29	5	interface	interface	NOUN
ejpam-6351	29	6	program	program	NOUN
ejpam-6351	29	7	that	that	PRON
ejpam-6351	29	8	includes	include	VERB
ejpam-6351	29	9	newton	newton	PROPN
ejpam-6351	29	10	-	-	PUNCT
ejpam-6351	29	11	based	base	VERB
ejpam-6351	29	12	methods	method	NOUN
ejpam-6351	29	13	is	be	AUX
ejpam-6351	29	14	developed	develop	VERB
ejpam-6351	29	15	and	and	CCONJ
ejpam-6351	29	16	a	a	DET
ejpam-6351	29	17	performance	performance	NOUN
ejpam-6351	29	18	analysis	analysis	NOUN
ejpam-6351	29	19	of	of	ADP
ejpam-6351	29	20	the	the	DET
ejpam-6351	29	21	methods	method	NOUN
ejpam-6351	29	22	is	be	AUX
ejpam-6351	29	23	also	also	ADV
ejpam-6351	29	24	performed	perform	VERB
ejpam-6351	29	25	comparatively	comparatively	ADV
ejpam-6351	29	26	in	in	ADP
ejpam-6351	29	27	[	[	X
ejpam-6351	29	28	7	7	NUM
ejpam-6351	29	29	]	]	PUNCT
ejpam-6351	29	30	.	.	PUNCT
ejpam-6351	30	1	in	in	ADP
ejpam-6351	30	2	addition	addition	NOUN
ejpam-6351	30	3	to	to	ADP
ejpam-6351	30	4	these	these	PRON
ejpam-6351	30	5	,	,	PUNCT
ejpam-6351	30	6	new	new	ADJ
ejpam-6351	30	7	iteration	iteration	NOUN
ejpam-6351	30	8	algorithms	algorithm	NOUN
ejpam-6351	30	9	are	be	AUX
ejpam-6351	30	10	developed	develop	VERB
ejpam-6351	30	11	to	to	PART
ejpam-6351	30	12	find	find	VERB
ejpam-6351	30	13	the	the	DET
ejpam-6351	30	14	roots	root	NOUN
ejpam-6351	30	15	of	of	ADP
ejpam-6351	30	16	a	a	DET
ejpam-6351	30	17	given	give	VERB
ejpam-6351	30	18	nonlinear	nonlinear	ADJ
ejpam-6351	30	19	equation	equation	NOUN
ejpam-6351	30	20	using	use	VERB
ejpam-6351	30	21	exponential	exponential	ADJ
ejpam-6351	30	22	series	series	NOUN
ejpam-6351	30	23	in	in	ADP
ejpam-6351	30	24	[	[	X
ejpam-6351	30	25	9	9	NUM
ejpam-6351	30	26	]	]	PUNCT
ejpam-6351	30	27	.	.	PUNCT
ejpam-6351	31	1	in	in	ADP
ejpam-6351	31	2	addition	addition	NOUN
ejpam-6351	31	3	,	,	PUNCT
ejpam-6351	31	4	a	a	DET
ejpam-6351	31	5	new	new	ADJ
ejpam-6351	31	6	algorithm	algorithm	NOUN
ejpam-6351	31	7	that	that	PRON
ejpam-6351	31	8	is	be	AUX
ejpam-6351	31	9	a	a	DET
ejpam-6351	31	10	dynamic	dynamic	ADJ
ejpam-6351	31	11	mixture	mixture	NOUN
ejpam-6351	31	12	of	of	ADP
ejpam-6351	31	13	bisection	bisection	NOUN
ejpam-6351	31	14	and	and	CCONJ
ejpam-6351	31	15	regula	regula	NOUN
ejpam-6351	31	16	falsi	falsi	NOUN
ejpam-6351	31	17	algorithms	algorithms	NOUN
ejpam-6351	31	18	is	be	AUX
ejpam-6351	31	19	designed	design	VERB
ejpam-6351	31	20	and	and	CCONJ
ejpam-6351	31	21	implemented	implement	VERB
ejpam-6351	31	22	in	in	ADP
ejpam-6351	31	23	[	[	X
ejpam-6351	31	24	10	10	NUM
ejpam-6351	31	25	]	]	PUNCT
ejpam-6351	31	26	.	.	PUNCT
ejpam-6351	32	1	a	a	DET
ejpam-6351	32	2	derivative	derivative	ADJ
ejpam-6351	32	3	-	-	PUNCT
ejpam-6351	32	4	free	free	ADJ
ejpam-6351	32	5	root	root	NOUN
ejpam-6351	32	6	finding	find	VERB
ejpam-6351	32	7	algorithm	algorithm	NOUN
ejpam-6351	32	8	is	be	AUX
ejpam-6351	32	9	proposed	propose	VERB
ejpam-6351	32	10	using	use	VERB
ejpam-6351	32	11	the	the	DET
ejpam-6351	32	12	forward	forward	ADJ
ejpam-6351	32	13	difference	difference	NOUN
ejpam-6351	32	14	method	method	NOUN
ejpam-6351	32	15	in	in	ADP
ejpam-6351	32	16	[	[	X
ejpam-6351	32	17	11	11	NUM
ejpam-6351	32	18	]	]	PUNCT
ejpam-6351	32	19	.	.	PUNCT
ejpam-6351	33	1	in	in	ADP
ejpam-6351	33	2	this	this	DET
ejpam-6351	33	3	study	study	NOUN
ejpam-6351	33	4	,	,	PUNCT
ejpam-6351	33	5	three	three	NUM
ejpam-6351	33	6	derivative	derivative	ADJ
ejpam-6351	33	7	-	-	PUNCT
ejpam-6351	33	8	free	free	ADJ
ejpam-6351	33	9	root	root	NOUN
ejpam-6351	33	10	-	-	PUNCT
ejpam-6351	33	11	finding	find	VERB
ejpam-6351	33	12	and	and	CCONJ
ejpam-6351	33	13	optimization	optimization	NOUN
ejpam-6351	33	14	algorithms	algorithm	NOUN
ejpam-6351	33	15	;	;	PUNCT
ejpam-6351	33	16	bisection	bisection	NOUN
ejpam-6351	33	17	,	,	PUNCT
ejpam-6351	33	18	golden	golden	ADJ
ejpam-6351	33	19	section	section	NOUN
ejpam-6351	33	20	and	and	CCONJ
ejpam-6351	33	21	fibonacci	fibonacci	NOUN
ejpam-6351	33	22	search	search	NOUN
ejpam-6351	33	23	,	,	PUNCT
ejpam-6351	33	24	are	be	AUX
ejpam-6351	33	25	evaluated	evaluate	VERB
ejpam-6351	33	26	in	in	ADP
ejpam-6351	33	27	terms	term	NOUN
ejpam-6351	33	28	of	of	ADP
ejpam-6351	33	29	both	both	DET
ejpam-6351	33	30	convergence	convergence	NOUN
ejpam-6351	33	31	behavior	behavior	NOUN
ejpam-6351	33	32	and	and	CCONJ
ejpam-6351	33	33	error	error	NOUN
ejpam-6351	33	34	analysis	analysis	NOUN
ejpam-6351	33	35	.	.	PUNCT
ejpam-6351	34	1	these	these	DET
ejpam-6351	34	2	optimization	optimization	NOUN
ejpam-6351	34	3	techniques	technique	NOUN
ejpam-6351	34	4	are	be	AUX
ejpam-6351	34	5	used	use	VERB
ejpam-6351	34	6	to	to	PART
ejpam-6351	34	7	find	find	VERB
ejpam-6351	34	8	the	the	DET
ejpam-6351	34	9	roots	root	NOUN
ejpam-6351	34	10	of	of	ADP
ejpam-6351	34	11	different	different	ADJ
ejpam-6351	34	12	type	type	NOUN
ejpam-6351	34	13	functions	function	NOUN
ejpam-6351	34	14	such	such	ADJ
ejpam-6351	34	15	as	as	ADP
ejpam-6351	34	16	logarithmic	logarithmic	ADJ
ejpam-6351	34	17	,	,	PUNCT
ejpam-6351	34	18	trigonometric	trigonometric	ADJ
ejpam-6351	34	19	,	,	PUNCT
ejpam-6351	34	20	exponential	exponential	NOUN
ejpam-6351	34	21	,	,	PUNCT
ejpam-6351	34	22	and	and	CCONJ
ejpam-6351	34	23	polynomial	polynomial	ADJ
ejpam-6351	34	24	functions	function	NOUN
ejpam-6351	34	25	.	.	PUNCT
ejpam-6351	35	1	the	the	DET
ejpam-6351	35	2	results	result	NOUN
ejpam-6351	35	3	are	be	AUX
ejpam-6351	35	4	analyzed	analyze	VERB
ejpam-6351	35	5	to	to	PART
ejpam-6351	35	6	determine	determine	VERB
ejpam-6351	35	7	the	the	DET
ejpam-6351	35	8	most	most	ADV
ejpam-6351	35	9	efficient	efficient	ADJ
ejpam-6351	35	10	approach	approach	NOUN
ejpam-6351	35	11	,	,	PUNCT
ejpam-6351	35	12	minimizing	minimize	VERB
ejpam-6351	35	13	the	the	DET
ejpam-6351	35	14	steps	step	NOUN
ejpam-6351	35	15	with	with	ADP
ejpam-6351	35	16	the	the	DET
ejpam-6351	35	17	least	least	ADJ
ejpam-6351	35	18	error	error	NOUN
ejpam-6351	35	19	.	.	PUNCT
ejpam-6351	36	1	the	the	DET
ejpam-6351	36	2	basic	basic	ADJ
ejpam-6351	36	3	principles	principle	NOUN
ejpam-6351	36	4	,	,	PUNCT
ejpam-6351	36	5	advantages	advantage	NOUN
ejpam-6351	36	6	,	,	PUNCT
ejpam-6351	36	7	and	and	CCONJ
ejpam-6351	36	8	disadvantages	disadvantage	NOUN
ejpam-6351	36	9	of	of	ADP
ejpam-6351	36	10	each	each	DET
ejpam-6351	36	11	algorithm	algorithm	NOUN
ejpam-6351	36	12	are	be	AUX
ejpam-6351	36	13	discussed	discuss	VERB
ejpam-6351	36	14	in	in	ADP
ejpam-6351	36	15	terms	term	NOUN
ejpam-6351	36	16	of	of	ADP
ejpam-6351	36	17	numerical	numerical	ADJ
ejpam-6351	36	18	stability	stability	NOUN
ejpam-6351	36	19	,	,	PUNCT
ejpam-6351	36	20	results	result	NOUN
ejpam-6351	36	21	,	,	PUNCT
ejpam-6351	36	22	and	and	CCONJ
ejpam-6351	36	23	suggestions	suggestion	NOUN
ejpam-6351	36	24	are	be	AUX
ejpam-6351	36	25	presented	present	VERB
ejpam-6351	36	26	.	.	PUNCT
ejpam-6351	37	1	2	2	X
ejpam-6351	37	2	.	.	X
ejpam-6351	37	3	materials	material	NOUN
ejpam-6351	37	4	and	and	CCONJ
ejpam-6351	37	5	methods	method	NOUN
ejpam-6351	37	6	bisection	bisection	NOUN
ejpam-6351	37	7	,	,	PUNCT
ejpam-6351	37	8	golden	golden	ADJ
ejpam-6351	37	9	ratio	ratio	NOUN
ejpam-6351	37	10	,	,	PUNCT
ejpam-6351	37	11	and	and	CCONJ
ejpam-6351	37	12	fibonacci	fibonacci	NOUN
ejpam-6351	37	13	search	search	NOUN
ejpam-6351	37	14	algorithms	algorithm	NOUN
ejpam-6351	37	15	are	be	AUX
ejpam-6351	37	16	used	use	VERB
ejpam-6351	37	17	to	to	PART
ejpam-6351	37	18	find	find	VERB
ejpam-6351	37	19	the	the	DET
ejpam-6351	37	20	roots	root	NOUN
ejpam-6351	37	21	of	of	ADP
ejpam-6351	37	22	exponential	exponential	NOUN
ejpam-6351	37	23	,	,	PUNCT
ejpam-6351	37	24	logarithmic	logarithmic	ADJ
ejpam-6351	37	25	,	,	PUNCT
ejpam-6351	37	26	trigonometric	trigonometric	ADJ
ejpam-6351	37	27	,	,	PUNCT
ejpam-6351	37	28	and	and	CCONJ
ejpam-6351	37	29	polynomial	polynomial	ADJ
ejpam-6351	37	30	functions	function	NOUN
ejpam-6351	37	31	.	.	PUNCT
ejpam-6351	38	1	matlab	matlab	PROPN
ejpam-6351	38	2	is	be	AUX
ejpam-6351	38	3	used	use	VERB
ejpam-6351	38	4	for	for	ADP
ejpam-6351	38	5	the	the	DET
ejpam-6351	38	6	performance	performance	NOUN
ejpam-6351	38	7	analysis	analysis	NOUN
ejpam-6351	38	8	of	of	ADP
ejpam-6351	38	9	the	the	DET
ejpam-6351	38	10	algorithms	algorithm	NOUN
ejpam-6351	38	11	in	in	ADP
ejpam-6351	38	12	the	the	DET
ejpam-6351	38	13	study	study	NOUN
ejpam-6351	38	14	.	.	PUNCT
ejpam-6351	39	1	2.1	2.1	NUM
ejpam-6351	39	2	.	.	PUNCT
ejpam-6351	39	3	existence	existence	NOUN
ejpam-6351	39	4	of	of	ADP
ejpam-6351	39	5	roots	root	NOUN
ejpam-6351	39	6	determining	determine	VERB
ejpam-6351	39	7	the	the	DET
ejpam-6351	39	8	existence	existence	NOUN
ejpam-6351	39	9	and	and	CCONJ
ejpam-6351	39	10	number	number	NOUN
ejpam-6351	39	11	of	of	ADP
ejpam-6351	39	12	roots	root	NOUN
ejpam-6351	39	13	is	be	AUX
ejpam-6351	39	14	crucial	crucial	ADJ
ejpam-6351	39	15	,	,	PUNCT
ejpam-6351	39	16	as	as	SCONJ
ejpam-6351	39	17	roots	root	NOUN
ejpam-6351	39	18	form	form	VERB
ejpam-6351	39	19	the	the	DET
ejpam-6351	39	20	set	set	NOUN
ejpam-6351	39	21	of	of	ADP
ejpam-6351	39	22	solutions	solution	NOUN
ejpam-6351	39	23	and	and	CCONJ
ejpam-6351	39	24	validate	validate	VERB
ejpam-6351	39	25	the	the	DET
ejpam-6351	39	26	model	model	NOUN
ejpam-6351	39	27	.	.	PUNCT
ejpam-6351	40	1	roots	root	NOUN
ejpam-6351	40	2	indicate	indicate	VERB
ejpam-6351	40	3	equilibrium	equilibrium	NOUN
ejpam-6351	40	4	points	point	NOUN
ejpam-6351	40	5	in	in	ADP
ejpam-6351	40	6	systems	system	NOUN
ejpam-6351	40	7	and	and	CCONJ
ejpam-6351	40	8	are	be	AUX
ejpam-6351	40	9	essential	essential	ADJ
ejpam-6351	40	10	for	for	ADP
ejpam-6351	40	11	the	the	DET
ejpam-6351	40	12	accuracy	accuracy	NOUN
ejpam-6351	40	13	of	of	ADP
ejpam-6351	40	14	the	the	DET
ejpam-6351	40	15	model	model	NOUN
ejpam-6351	40	16	in	in	ADP
ejpam-6351	40	17	representing	represent	VERB
ejpam-6351	40	18	real	real	ADJ
ejpam-6351	40	19	-	-	PUNCT
ejpam-6351	40	20	world	world	NOUN
ejpam-6351	40	21	phenomena	phenomenon	NOUN
ejpam-6351	40	22	.	.	PUNCT
ejpam-6351	41	1	solving	solve	VERB
ejpam-6351	41	2	a	a	DET
ejpam-6351	41	3	system	system	NOUN
ejpam-6351	41	4	of	of	ADP
ejpam-6351	41	5	equations	equation	NOUN
ejpam-6351	41	6	reveals	reveal	VERB
ejpam-6351	41	7	the	the	DET
ejpam-6351	41	8	meaning	meaning	NOUN
ejpam-6351	41	9	,	,	PUNCT
ejpam-6351	41	10	validity	validity	NOUN
ejpam-6351	41	11	,	,	PUNCT
ejpam-6351	41	12	stability	stability	NOUN
ejpam-6351	41	13	points	point	NOUN
ejpam-6351	41	14	,	,	PUNCT
ejpam-6351	41	15	and	and	CCONJ
ejpam-6351	41	16	set	set	VERB
ejpam-6351	41	17	of	of	ADP
ejpam-6351	41	18	solution	solution	NOUN
ejpam-6351	41	19	points	point	NOUN
ejpam-6351	41	20	b.	b.	PROPN
ejpam-6351	41	21	köse	köse	PROPN
ejpam-6351	41	22	,	,	PUNCT
ejpam-6351	41	23	b.	b.	PROPN
ejpam-6351	41	24	demirtürk	demirtürk	PROPN
ejpam-6351	41	25	,	,	PUNCT
ejpam-6351	41	26	ş.	ş.	PROPN
ejpam-6351	41	27	konca	konca	PROPN
ejpam-6351	41	28	/	/	SYM
ejpam-6351	41	29	eur	eur	PROPN
ejpam-6351	41	30	.	.	PUNCT
ejpam-6351	42	1	j.	j.	PROPN
ejpam-6351	42	2	pure	pure	PROPN
ejpam-6351	42	3	appl	appl	PROPN
ejpam-6351	42	4	.	.	PROPN
ejpam-6351	42	5	math	math	PROPN
ejpam-6351	42	6	,	,	PUNCT
ejpam-6351	42	7	18	18	NUM
ejpam-6351	42	8	(	(	PUNCT
ejpam-6351	42	9	3	3	NUM
ejpam-6351	42	10	)	)	PUNCT
ejpam-6351	42	11	(	(	PUNCT
ejpam-6351	42	12	2025	2025	NUM
ejpam-6351	42	13	)	)	PUNCT
ejpam-6351	42	14	,	,	PUNCT
ejpam-6351	42	15	6351	6351	NUM
ejpam-6351	42	16	3	3	NUM
ejpam-6351	42	17	of	of	ADP
ejpam-6351	42	18	22	22	NUM
ejpam-6351	42	19	of	of	ADP
ejpam-6351	42	20	the	the	DET
ejpam-6351	42	21	model	model	NOUN
ejpam-6351	42	22	.	.	PUNCT
ejpam-6351	43	1	finding	find	VERB
ejpam-6351	43	2	roots	root	NOUN
ejpam-6351	43	3	is	be	AUX
ejpam-6351	43	4	also	also	ADV
ejpam-6351	43	5	important	important	ADJ
ejpam-6351	43	6	in	in	ADP
ejpam-6351	43	7	optimization	optimization	NOUN
ejpam-6351	43	8	problems	problem	NOUN
ejpam-6351	43	9	and	and	CCONJ
ejpam-6351	43	10	engineering	engineering	NOUN
ejpam-6351	43	11	applications	application	NOUN
ejpam-6351	43	12	.	.	PUNCT
ejpam-6351	44	1	let	let	VERB
ejpam-6351	44	2	us	we	PRON
ejpam-6351	44	3	give	give	VERB
ejpam-6351	44	4	two	two	NUM
ejpam-6351	44	5	important	important	ADJ
ejpam-6351	44	6	theorems	theorem	NOUN
ejpam-6351	44	7	in	in	ADP
ejpam-6351	44	8	the	the	DET
ejpam-6351	44	9	following	following	NOUN
ejpam-6351	44	10	on	on	ADP
ejpam-6351	44	11	the	the	DET
ejpam-6351	44	12	existence	existence	NOUN
ejpam-6351	44	13	and	and	CCONJ
ejpam-6351	44	14	finding	find	VERB
ejpam-6351	44	15	the	the	DET
ejpam-6351	44	16	roots	root	NOUN
ejpam-6351	44	17	.	.	PUNCT
ejpam-6351	45	1	these	these	DET
ejpam-6351	45	2	theorems	theorem	NOUN
ejpam-6351	45	3	are	be	AUX
ejpam-6351	45	4	essential	essential	ADJ
ejpam-6351	45	5	for	for	ADP
ejpam-6351	45	6	root	root	NOUN
ejpam-6351	45	7	-	-	PUNCT
ejpam-6351	45	8	approximation	approximation	NOUN
ejpam-6351	45	9	methods	method	NOUN
ejpam-6351	45	10	that	that	PRON
ejpam-6351	45	11	rely	rely	VERB
ejpam-6351	45	12	on	on	ADP
ejpam-6351	45	13	analyzing	analyze	VERB
ejpam-6351	45	14	extrema	extrema	NOUN
ejpam-6351	45	15	and	and	CCONJ
ejpam-6351	45	16	boundedness	boundedness	NOUN
ejpam-6351	45	17	,	,	PUNCT
ejpam-6351	45	18	especially	especially	ADV
ejpam-6351	45	19	in	in	ADP
ejpam-6351	45	20	simulation	simulation	NOUN
ejpam-6351	45	21	-	-	PUNCT
ejpam-6351	45	22	based	base	VERB
ejpam-6351	45	23	approaches	approach	NOUN
ejpam-6351	45	24	to	to	ADP
ejpam-6351	45	25	minimization	minimization	NOUN
ejpam-6351	45	26	or	or	CCONJ
ejpam-6351	45	27	optimization	optimization	NOUN
ejpam-6351	45	28	problems	problem	NOUN
ejpam-6351	45	29	.	.	PUNCT
ejpam-6351	46	1	theorem	theorem	NOUN
ejpam-6351	46	2	1	1	NUM
ejpam-6351	46	3	.	.	PUNCT
ejpam-6351	47	1	(	(	PUNCT
ejpam-6351	47	2	bolzano	bolzano	NOUN
ejpam-6351	47	3	theorem	theorem	VERB
ejpam-6351	47	4	)	)	PUNCT
ejpam-6351	47	5	if	if	SCONJ
ejpam-6351	47	6	the	the	DET
ejpam-6351	47	7	function	function	NOUN
ejpam-6351	47	8	f	f	PROPN
ejpam-6351	47	9	is	be	AUX
ejpam-6351	47	10	continuous	continuous	ADJ
ejpam-6351	47	11	on	on	ADP
ejpam-6351	47	12	the	the	DET
ejpam-6351	47	13	interval	interval	NOUN
ejpam-6351	47	14	[	[	X
ejpam-6351	47	15	a	a	X
ejpam-6351	47	16	,	,	PUNCT
ejpam-6351	47	17	b	b	NOUN
ejpam-6351	47	18	]	]	X
ejpam-6351	47	19	and	and	CCONJ
ejpam-6351	47	20	f(a).f(b	f(a).f(b	PROPN
ejpam-6351	47	21	)	)	PUNCT
ejpam-6351	47	22	<	<	X
ejpam-6351	47	23	0	0	NUM
ejpam-6351	47	24	,	,	PUNCT
ejpam-6351	47	25	then	then	ADV
ejpam-6351	47	26	there	there	PRON
ejpam-6351	47	27	exists	exist	VERB
ejpam-6351	47	28	a	a	DET
ejpam-6351	47	29	c	c	NOUN
ejpam-6351	47	30	∈	∈	PROPN
ejpam-6351	47	31	(	(	PUNCT
ejpam-6351	47	32	a	a	DET
ejpam-6351	47	33	,	,	PUNCT
ejpam-6351	47	34	b	b	NOUN
ejpam-6351	47	35	)	)	PUNCT
ejpam-6351	47	36	such	such	ADJ
ejpam-6351	47	37	that	that	DET
ejpam-6351	47	38	f(c	f(c	PROPN
ejpam-6351	47	39	)	)	PUNCT
ejpam-6351	47	40	=	=	SYM
ejpam-6351	47	41	0	0	PUNCT
ejpam-6351	48	1	[	[	X
ejpam-6351	48	2	12],[13	12],[13	NOUN
ejpam-6351	48	3	]	]	X
ejpam-6351	48	4	.	.	PUNCT
ejpam-6351	49	1	the	the	DET
ejpam-6351	49	2	following	follow	VERB
ejpam-6351	49	3	theorem	theorem	NOUN
ejpam-6351	49	4	is	be	AUX
ejpam-6351	49	5	used	use	VERB
ejpam-6351	49	6	in	in	ADP
ejpam-6351	49	7	the	the	DET
ejpam-6351	49	8	context	context	NOUN
ejpam-6351	49	9	of	of	ADP
ejpam-6351	49	10	analysis	analysis	NOUN
ejpam-6351	49	11	and	and	CCONJ
ejpam-6351	49	12	should	should	AUX
ejpam-6351	49	13	not	not	PART
ejpam-6351	49	14	be	be	AUX
ejpam-6351	49	15	confused	confuse	VERB
ejpam-6351	49	16	with	with	ADP
ejpam-6351	49	17	the	the	DET
ejpam-6351	49	18	extreme	extreme	ADJ
ejpam-6351	49	19	value	value	NOUN
ejpam-6351	49	20	theorem	theorem	VERB
ejpam-6351	49	21	in	in	ADP
ejpam-6351	49	22	statistics	statistic	NOUN
ejpam-6351	49	23	.	.	PUNCT
ejpam-6351	50	1	this	this	DET
ejpam-6351	50	2	theorem	theorem	NOUN
ejpam-6351	50	3	was	be	AUX
ejpam-6351	50	4	first	first	ADV
ejpam-6351	50	5	proved	prove	VERB
ejpam-6351	50	6	partially	partially	ADV
ejpam-6351	50	7	by	by	ADP
ejpam-6351	50	8	bolzano	bolzano	NOUN
ejpam-6351	50	9	.	.	PUNCT
ejpam-6351	51	1	before	before	ADP
ejpam-6351	51	2	giving	give	VERB
ejpam-6351	51	3	theorem	theorem	NOUN
ejpam-6351	51	4	2	2	NUM
ejpam-6351	51	5	,	,	PUNCT
ejpam-6351	51	6	the	the	DET
ejpam-6351	51	7	following	follow	VERB
ejpam-6351	51	8	nuance	nuance	NOUN
ejpam-6351	51	9	should	should	AUX
ejpam-6351	51	10	be	be	AUX
ejpam-6351	51	11	noted	note	VERB
ejpam-6351	51	12	.	.	PUNCT
ejpam-6351	52	1	bolzano	bolzano	PROPN
ejpam-6351	52	2	proved	prove	VERB
ejpam-6351	52	3	that	that	SCONJ
ejpam-6351	52	4	a	a	DET
ejpam-6351	52	5	continuous	continuous	ADJ
ejpam-6351	52	6	function	function	NOUN
ejpam-6351	52	7	is	be	AUX
ejpam-6351	52	8	bounded	bound	VERB
ejpam-6351	52	9	on	on	ADP
ejpam-6351	52	10	a	a	DET
ejpam-6351	52	11	closed	closed	ADJ
ejpam-6351	52	12	interval	interval	NOUN
ejpam-6351	52	13	,	,	PUNCT
ejpam-6351	52	14	but	but	CCONJ
ejpam-6351	52	15	he	he	PRON
ejpam-6351	52	16	did	do	AUX
ejpam-6351	52	17	not	not	PART
ejpam-6351	52	18	guarantee	guarantee	VERB
ejpam-6351	52	19	that	that	SCONJ
ejpam-6351	52	20	the	the	DET
ejpam-6351	52	21	function	function	NOUN
ejpam-6351	52	22	can	can	AUX
ejpam-6351	52	23	reach	reach	VERB
ejpam-6351	52	24	extreme	extreme	ADJ
ejpam-6351	52	25	values	value	NOUN
ejpam-6351	52	26	.	.	PUNCT
ejpam-6351	53	1	this	this	DET
ejpam-6351	53	2	gap	gap	NOUN
ejpam-6351	53	3	was	be	AUX
ejpam-6351	53	4	filled	fill	VERB
ejpam-6351	53	5	by	by	ADP
ejpam-6351	53	6	weierstrass	weierstrass	NOUN
ejpam-6351	53	7	,	,	PUNCT
ejpam-6351	53	8	who	who	PRON
ejpam-6351	53	9	showed	show	VERB
ejpam-6351	53	10	that	that	SCONJ
ejpam-6351	53	11	a	a	DET
ejpam-6351	53	12	continuous	continuous	ADJ
ejpam-6351	53	13	function	function	NOUN
ejpam-6351	53	14	defined	define	VERB
ejpam-6351	53	15	on	on	ADP
ejpam-6351	53	16	a	a	DET
ejpam-6351	53	17	closed	closed	ADJ
ejpam-6351	53	18	and	and	CCONJ
ejpam-6351	53	19	bounded	bound	VERB
ejpam-6351	53	20	interval	interval	NOUN
ejpam-6351	53	21	reaches	reach	VERB
ejpam-6351	53	22	both	both	CCONJ
ejpam-6351	53	23	its	its	PRON
ejpam-6351	53	24	minimum	minimum	ADJ
ejpam-6351	53	25	and	and	CCONJ
ejpam-6351	53	26	maximum	maximum	ADJ
ejpam-6351	53	27	value	value	NOUN
ejpam-6351	53	28	.	.	PUNCT
ejpam-6351	54	1	therefore	therefore	ADV
ejpam-6351	54	2	,	,	PUNCT
ejpam-6351	54	3	the	the	DET
ejpam-6351	54	4	following	follow	VERB
ejpam-6351	54	5	theorem	theorem	NOUN
ejpam-6351	54	6	is	be	AUX
ejpam-6351	54	7	called	call	VERB
ejpam-6351	54	8	a	a	DET
ejpam-6351	54	9	theorem	theorem	NOUN
ejpam-6351	54	10	proved	prove	VERB
ejpam-6351	54	11	by	by	ADP
ejpam-6351	54	12	bolzano	bolzano	NOUN
ejpam-6351	54	13	-	-	PUNCT
ejpam-6351	54	14	weierstrass	weierstrass	NOUN
ejpam-6351	54	15	.	.	PUNCT
ejpam-6351	55	1	theorem	theorem	NOUN
ejpam-6351	55	2	2	2	NUM
ejpam-6351	55	3	.	.	PUNCT
ejpam-6351	56	1	(	(	PUNCT
ejpam-6351	56	2	extreme	extreme	ADJ
ejpam-6351	56	3	value	value	NOUN
ejpam-6351	56	4	theorem	theorem	VERB
ejpam-6351	56	5	)	)	PUNCT
ejpam-6351	56	6	let	let	VERB
ejpam-6351	56	7	f	f	NOUN
ejpam-6351	56	8	:	:	PUNCT
ejpam-6351	57	1	i	i	PRON
ejpam-6351	57	2	−→	−→	VERB
ejpam-6351	57	3	r	r	NOUN
ejpam-6351	57	4	be	be	VERB
ejpam-6351	57	5	a	a	DET
ejpam-6351	57	6	continuous	continuous	ADJ
ejpam-6351	57	7	function	function	NOUN
ejpam-6351	57	8	on	on	ADP
ejpam-6351	57	9	a	a	DET
ejpam-6351	57	10	closed	closed	ADJ
ejpam-6351	57	11	and	and	CCONJ
ejpam-6351	57	12	bounded	bound	VERB
ejpam-6351	57	13	interval	interval	NOUN
ejpam-6351	57	14	i	i	NOUN
ejpam-6351	57	15	=	=	PUNCT
ejpam-6351	58	1	[	[	X
ejpam-6351	58	2	a	a	X
ejpam-6351	58	3	,	,	PUNCT
ejpam-6351	58	4	b	b	NOUN
ejpam-6351	58	5	]	]	X
ejpam-6351	58	6	⊂	⊂	PROPN
ejpam-6351	58	7	r	r	NOUN
ejpam-6351	58	8	.	.	PUNCT
ejpam-6351	59	1	in	in	ADP
ejpam-6351	59	2	the	the	DET
ejpam-6351	59	3	interval	interval	NOUN
ejpam-6351	59	4	[	[	X
ejpam-6351	59	5	a	a	X
ejpam-6351	59	6	,	,	PUNCT
ejpam-6351	59	7	b	b	NOUN
ejpam-6351	59	8	]	]	X
ejpam-6351	59	9	there	there	PRON
ejpam-6351	59	10	exist	exist	VERB
ejpam-6351	59	11	such	such	ADJ
ejpam-6351	59	12	real	real	ADJ
ejpam-6351	59	13	numbers	number	NOUN
ejpam-6351	59	14	c	c	PROPN
ejpam-6351	59	15	and	and	CCONJ
ejpam-6351	59	16	d	d	ADP
ejpam-6351	59	17	such	such	ADJ
ejpam-6351	59	18	that	that	DET
ejpam-6351	59	19	f(c	f(c	PROPN
ejpam-6351	59	20	)	)	PUNCT
ejpam-6351	59	21	≤	≤	NUM
ejpam-6351	59	22	f(x	f(x	PROPN
ejpam-6351	59	23	)	)	PUNCT
ejpam-6351	59	24	≤	≤	NUM
ejpam-6351	59	25	f(d	f(d	PROPN
ejpam-6351	59	26	)	)	PUNCT
ejpam-6351	59	27	,	,	PUNCT
ejpam-6351	59	28	∀x	∀x	VERB
ejpam-6351	59	29	∈	∈	PROPN
ejpam-6351	60	1	[	[	X
ejpam-6351	60	2	a	a	X
ejpam-6351	60	3	,	,	PUNCT
ejpam-6351	60	4	b	b	NOUN
ejpam-6351	60	5	]	]	X
ejpam-6351	60	6	.	.	PUNCT
ejpam-6351	61	1	that	that	PRON
ejpam-6351	61	2	is	be	AUX
ejpam-6351	61	3	,	,	PUNCT
ejpam-6351	61	4	there	there	PRON
ejpam-6351	61	5	exist	exist	VERB
ejpam-6351	61	6	numbers	number	NOUN
ejpam-6351	61	7	c	c	NOUN
ejpam-6351	61	8	,	,	PUNCT
ejpam-6351	61	9	d	d	PROPN
ejpam-6351	61	10	∈	∈	PROPN
ejpam-6351	61	11	i	i	PRON
ejpam-6351	61	12	such	such	ADJ
ejpam-6351	61	13	that	that	PRON
ejpam-6351	61	14	f(c	f(c	PROPN
ejpam-6351	61	15	)	)	PUNCT
ejpam-6351	61	16	=	=	SYM
ejpam-6351	61	17	inff(i	inff(i	ADJ
ejpam-6351	61	18	)	)	PUNCT
ejpam-6351	61	19	=	=	PUNCT
ejpam-6351	61	20	minf(i	minf(i	NOUN
ejpam-6351	61	21	)	)	PUNCT
ejpam-6351	61	22	and	and	CCONJ
ejpam-6351	61	23	f(d	f(d	PROPN
ejpam-6351	61	24	)	)	PUNCT
ejpam-6351	61	25	=	=	SYM
ejpam-6351	61	26	supf(i	supf(i	ADJ
ejpam-6351	61	27	)	)	PUNCT
ejpam-6351	61	28	=	=	SYM
ejpam-6351	61	29	maxf(i	maxf(i	PROPN
ejpam-6351	61	30	)	)	PUNCT
ejpam-6351	61	31	.	.	PUNCT
ejpam-6351	62	1	that	that	PRON
ejpam-6351	62	2	is	be	AUX
ejpam-6351	62	3	,	,	PUNCT
ejpam-6351	62	4	a	a	DET
ejpam-6351	62	5	continuous	continuous	ADJ
ejpam-6351	62	6	function	function	NOUN
ejpam-6351	62	7	takes	take	VERB
ejpam-6351	62	8	its	its	PRON
ejpam-6351	62	9	maximum	maximum	ADJ
ejpam-6351	62	10	and	and	CCONJ
ejpam-6351	62	11	minimum	minimum	ADJ
ejpam-6351	62	12	values	value	NOUN
ejpam-6351	62	13	in	in	ADP
ejpam-6351	62	14	a	a	DET
ejpam-6351	62	15	closed	closed	ADJ
ejpam-6351	62	16	interval	interval	NOUN
ejpam-6351	62	17	.	.	PUNCT
ejpam-6351	63	1	in	in	ADP
ejpam-6351	63	2	other	other	ADJ
ejpam-6351	63	3	words	word	NOUN
ejpam-6351	63	4	,	,	PUNCT
ejpam-6351	63	5	the	the	DET
ejpam-6351	63	6	image	image	NOUN
ejpam-6351	63	7	of	of	ADP
ejpam-6351	63	8	a	a	DET
ejpam-6351	63	9	closed	closed	ADJ
ejpam-6351	63	10	and	and	CCONJ
ejpam-6351	63	11	bounded	bounded	ADJ
ejpam-6351	63	12	interval	interval	NOUN
ejpam-6351	63	13	under	under	ADP
ejpam-6351	63	14	a	a	DET
ejpam-6351	63	15	continuous	continuous	ADJ
ejpam-6351	63	16	function	function	NOUN
ejpam-6351	63	17	is	be	AUX
ejpam-6351	63	18	also	also	ADV
ejpam-6351	63	19	a	a	DET
ejpam-6351	63	20	closed	closed	ADJ
ejpam-6351	63	21	and	and	CCONJ
ejpam-6351	63	22	bounded	bounded	ADJ
ejpam-6351	63	23	interval	interval	NOUN
ejpam-6351	63	24	.	.	PUNCT
ejpam-6351	64	1	since	since	SCONJ
ejpam-6351	64	2	boundedness	boundedness	NOUN
ejpam-6351	64	3	and	and	CCONJ
ejpam-6351	64	4	continuity	continuity	NOUN
ejpam-6351	64	5	are	be	AUX
ejpam-6351	64	6	equivalent	equivalent	ADJ
ejpam-6351	64	7	in	in	ADP
ejpam-6351	64	8	the	the	DET
ejpam-6351	64	9	space	space	NOUN
ejpam-6351	64	10	of	of	ADP
ejpam-6351	64	11	real	real	ADJ
ejpam-6351	64	12	numbers	number	NOUN
ejpam-6351	64	13	,	,	PUNCT
ejpam-6351	64	14	it	it	PRON
ejpam-6351	64	15	is	be	AUX
ejpam-6351	64	16	possible	possible	ADJ
ejpam-6351	64	17	to	to	PART
ejpam-6351	64	18	express	express	VERB
ejpam-6351	64	19	this	this	PRON
ejpam-6351	64	20	as	as	SCONJ
ejpam-6351	64	21	follows	follow	VERB
ejpam-6351	64	22	:	:	PUNCT
ejpam-6351	64	23	a	a	DET
ejpam-6351	64	24	continuous	continuous	ADJ
ejpam-6351	64	25	function	function	NOUN
ejpam-6351	64	26	f	f	PROPN
ejpam-6351	64	27	defined	define	VERB
ejpam-6351	64	28	on	on	ADP
ejpam-6351	64	29	the	the	DET
ejpam-6351	64	30	interval	interval	NOUN
ejpam-6351	64	31	[	[	X
ejpam-6351	64	32	a	a	X
ejpam-6351	64	33	,	,	PUNCT
ejpam-6351	64	34	b	b	NOUN
ejpam-6351	64	35	]	]	PUNCT
ejpam-6351	64	36	is	be	AUX
ejpam-6351	64	37	bounded	bound	VERB
ejpam-6351	64	38	on	on	ADP
ejpam-6351	64	39	this	this	DET
ejpam-6351	64	40	interval	interval	NOUN
ejpam-6351	64	41	.	.	PUNCT
ejpam-6351	65	1	that	that	PRON
ejpam-6351	65	2	is	be	AUX
ejpam-6351	65	3	,	,	PUNCT
ejpam-6351	65	4	there	there	PRON
ejpam-6351	65	5	exist	exist	VERB
ejpam-6351	65	6	such	such	ADJ
ejpam-6351	65	7	real	real	ADJ
ejpam-6351	65	8	numbers	number	NOUN
ejpam-6351	65	9	m	m	VERB
ejpam-6351	65	10	and	and	CCONJ
ejpam-6351	65	11	m	m	VERB
ejpam-6351	65	12	such	such	ADJ
ejpam-6351	65	13	that	that	SCONJ
ejpam-6351	65	14	m	m	VERB
ejpam-6351	65	15	≤	≤	ADJ
ejpam-6351	65	16	f(x	f(x	PROPN
ejpam-6351	65	17	)	)	PUNCT
ejpam-6351	65	18	≤	≤	NUM
ejpam-6351	65	19	m	m	VERB
ejpam-6351	65	20	for	for	ADP
ejpam-6351	65	21	∀	∀	NOUN
ejpam-6351	65	22	x	x	SYM
ejpam-6351	65	23	∈	∈	PROPN
ejpam-6351	65	24	[	[	X
ejpam-6351	65	25	a	a	X
ejpam-6351	65	26	,	,	PUNCT
ejpam-6351	65	27	b	b	NOUN
ejpam-6351	65	28	]	]	X
ejpam-6351	65	29	in	in	ADP
ejpam-6351	65	30	[	[	X
ejpam-6351	65	31	12],[13	12],[13	NOUN
ejpam-6351	65	32	]	]	PUNCT
ejpam-6351	65	33	.	.	PUNCT
ejpam-6351	66	1	theorem	theorem	NOUN
ejpam-6351	66	2	3	3	X
ejpam-6351	66	3	.	.	PUNCT
ejpam-6351	67	1	if	if	SCONJ
ejpam-6351	67	2	the	the	DET
ejpam-6351	67	3	function	function	NOUN
ejpam-6351	67	4	f	f	PROPN
ejpam-6351	67	5	is	be	AUX
ejpam-6351	67	6	continuous	continuous	ADJ
ejpam-6351	67	7	,	,	PUNCT
ejpam-6351	67	8	the	the	DET
ejpam-6351	67	9	function	function	NOUN
ejpam-6351	67	10	|f	|f	PROPN
ejpam-6351	68	1	|	|	ADV
ejpam-6351	68	2	is	be	AUX
ejpam-6351	68	3	also	also	ADV
ejpam-6351	68	4	continuous	continuous	ADJ
ejpam-6351	68	5	[	[	X
ejpam-6351	68	6	12	12	NUM
ejpam-6351	68	7	]	]	PUNCT
ejpam-6351	68	8	.	.	PUNCT
ejpam-6351	69	1	we	we	PRON
ejpam-6351	69	2	define	define	VERB
ejpam-6351	69	3	and	and	CCONJ
ejpam-6351	69	4	prove	prove	VERB
ejpam-6351	69	5	the	the	DET
ejpam-6351	69	6	following	follow	VERB
ejpam-6351	69	7	theorem	theorem	NOUN
ejpam-6351	69	8	because	because	SCONJ
ejpam-6351	69	9	of	of	ADP
ejpam-6351	69	10	the	the	DET
ejpam-6351	69	11	basic	basic	ADJ
ejpam-6351	69	12	theorems	theorem	NOUN
ejpam-6351	69	13	above	above	ADV
ejpam-6351	69	14	.	.	PUNCT
ejpam-6351	70	1	this	this	DET
ejpam-6351	70	2	theorem	theorem	NOUN
ejpam-6351	70	3	is	be	AUX
ejpam-6351	70	4	used	use	VERB
ejpam-6351	70	5	in	in	ADP
ejpam-6351	70	6	matlab	matlab	PROPN
ejpam-6351	70	7	calculations	calculation	NOUN
ejpam-6351	70	8	throughout	throughout	ADP
ejpam-6351	70	9	the	the	DET
ejpam-6351	70	10	paper	paper	NOUN
ejpam-6351	70	11	as	as	ADP
ejpam-6351	70	12	the	the	DET
ejpam-6351	70	13	root	root	NOUN
ejpam-6351	70	14	search	search	NOUN
ejpam-6351	70	15	method	method	NOUN
ejpam-6351	70	16	in	in	ADP
ejpam-6351	70	17	the	the	DET
ejpam-6351	70	18	optimization	optimization	NOUN
ejpam-6351	70	19	algorithm	algorithm	NOUN
ejpam-6351	70	20	.	.	PUNCT
ejpam-6351	71	1	theorem	theorem	ADJ
ejpam-6351	71	2	4	4	NUM
ejpam-6351	71	3	.	.	PUNCT
ejpam-6351	72	1	(	(	PUNCT
ejpam-6351	72	2	root	root	NOUN
ejpam-6351	72	3	search	search	NOUN
ejpam-6351	72	4	in	in	ADP
ejpam-6351	72	5	optimization	optimization	NOUN
ejpam-6351	72	6	algorithm	algorithm	NOUN
ejpam-6351	72	7	)	)	PUNCT
ejpam-6351	72	8	for	for	ADP
ejpam-6351	72	9	i	i	PRON
ejpam-6351	72	10	=	=	PUNCT
ejpam-6351	73	1	[	[	X
ejpam-6351	73	2	a	a	X
ejpam-6351	73	3	,	,	PUNCT
ejpam-6351	73	4	b	b	NOUN
ejpam-6351	73	5	]	]	X
ejpam-6351	74	1	⊂	⊂	X
ejpam-6351	74	2	r	r	NOUN
ejpam-6351	74	3	,	,	PUNCT
ejpam-6351	75	1	if	if	SCONJ
ejpam-6351	75	2	the	the	DET
ejpam-6351	75	3	function	function	NOUN
ejpam-6351	75	4	f	f	X
ejpam-6351	75	5	:	:	PUNCT
ejpam-6351	75	6	i	i	PRON
ejpam-6351	75	7	−→	−→	VERB
ejpam-6351	75	8	r	r	NOUN
ejpam-6351	75	9	is	be	AUX
ejpam-6351	75	10	continuous	continuous	ADJ
ejpam-6351	75	11	,	,	PUNCT
ejpam-6351	75	12	it	it	PRON
ejpam-6351	75	13	has	have	VERB
ejpam-6351	75	14	at	at	ADV
ejpam-6351	75	15	least	least	ADV
ejpam-6351	75	16	one	one	NUM
ejpam-6351	75	17	minimum	minimum	NOUN
ejpam-6351	75	18	in	in	ADP
ejpam-6351	75	19	this	this	DET
ejpam-6351	75	20	interval	interval	NOUN
ejpam-6351	75	21	,	,	PUNCT
ejpam-6351	75	22	and	and	CCONJ
ejpam-6351	75	23	if	if	SCONJ
ejpam-6351	75	24	|f(xi)|	|f(xi)|	NOUN
ejpam-6351	75	25	=	=	SYM
ejpam-6351	75	26	0	0	NUM
ejpam-6351	75	27	,	,	PUNCT
ejpam-6351	75	28	there	there	PRON
ejpam-6351	75	29	is	be	VERB
ejpam-6351	75	30	at	at	ADV
ejpam-6351	75	31	least	least	ADJ
ejpam-6351	75	32	one	one	NUM
ejpam-6351	75	33	xi	xi	ADP
ejpam-6351	75	34	∈	∈	PROPN
ejpam-6351	76	1	i	i	PRON
ejpam-6351	76	2	,	,	PUNCT
ejpam-6351	76	3	(	(	PUNCT
ejpam-6351	76	4	i	i	PROPN
ejpam-6351	76	5	∈	∈	PROPN
ejpam-6351	76	6	n	n	CCONJ
ejpam-6351	76	7	)	)	PUNCT
ejpam-6351	76	8	satisfying	satisfy	VERB
ejpam-6351	76	9	this	this	DET
ejpam-6351	76	10	equality	equality	NOUN
ejpam-6351	76	11	.	.	PUNCT
ejpam-6351	77	1	proof	proof	NOUN
ejpam-6351	77	2	.	.	PUNCT
ejpam-6351	78	1	from	from	ADP
ejpam-6351	78	2	the	the	DET
ejpam-6351	78	3	extreme	extreme	ADJ
ejpam-6351	78	4	value	value	NOUN
ejpam-6351	78	5	theorem	theorem	VERB
ejpam-6351	78	6	,	,	PUNCT
ejpam-6351	78	7	if	if	SCONJ
ejpam-6351	78	8	the	the	DET
ejpam-6351	78	9	function	function	NOUN
ejpam-6351	78	10	is	be	AUX
ejpam-6351	78	11	continuous	continuous	ADJ
ejpam-6351	78	12	,	,	PUNCT
ejpam-6351	78	13	it	it	PRON
ejpam-6351	78	14	has	have	VERB
ejpam-6351	78	15	at	at	ADV
ejpam-6351	78	16	least	least	ADV
ejpam-6351	78	17	one	one	NUM
ejpam-6351	78	18	minimum	minimum	NOUN
ejpam-6351	78	19	.	.	PUNCT
ejpam-6351	79	1	if	if	SCONJ
ejpam-6351	79	2	|f(xi)|	|f(xi)|	NOUN
ejpam-6351	79	3	=	=	SYM
ejpam-6351	79	4	0	0	NUM
ejpam-6351	79	5	,	,	PUNCT
ejpam-6351	79	6	then	then	ADV
ejpam-6351	79	7	f(xi	f(xi	PROPN
ejpam-6351	79	8	)	)	PUNCT
ejpam-6351	80	1	=	=	SYM
ejpam-6351	80	2	0	0	X
ejpam-6351	80	3	.	.	PUNCT
ejpam-6351	81	1	since	since	SCONJ
ejpam-6351	81	2	this	this	DET
ejpam-6351	81	3	continuous	continuous	ADJ
ejpam-6351	81	4	function	function	NOUN
ejpam-6351	81	5	f	f	PROPN
ejpam-6351	81	6	has	have	VERB
ejpam-6351	81	7	at	at	ADV
ejpam-6351	81	8	least	least	ADV
ejpam-6351	81	9	one	one	NUM
ejpam-6351	81	10	minimum	minimum	NOUN
ejpam-6351	81	11	in	in	ADP
ejpam-6351	81	12	the	the	DET
ejpam-6351	81	13	given	give	VERB
ejpam-6351	81	14	closed	close	VERB
ejpam-6351	81	15	-	-	PUNCT
ejpam-6351	81	16	limited	limit	VERB
ejpam-6351	81	17	interval	interval	NOUN
ejpam-6351	81	18	,	,	PUNCT
ejpam-6351	81	19	and	and	CCONJ
ejpam-6351	81	20	since	since	SCONJ
ejpam-6351	81	21	|f(xi)|	|f(xi)|	NUM
ejpam-6351	81	22	=	=	SYM
ejpam-6351	81	23	0	0	NUM
ejpam-6351	81	24	,	,	PUNCT
ejpam-6351	81	25	this	this	DET
ejpam-6351	81	26	minimum	minimum	NOUN
ejpam-6351	81	27	takes	take	VERB
ejpam-6351	81	28	its	its	PRON
ejpam-6351	81	29	zero	zero	NUM
ejpam-6351	81	30	value	value	NOUN
ejpam-6351	81	31	at	at	ADP
ejpam-6351	81	32	the	the	DET
ejpam-6351	81	33	roots	root	NOUN
ejpam-6351	81	34	xi	xi	ADP
ejpam-6351	81	35	∈	∈	PROPN
ejpam-6351	82	1	i	i	PRON
ejpam-6351	82	2	,	,	PUNCT
ejpam-6351	82	3	i	i	PROPN
ejpam-6351	82	4	∈	∈	PROPN
ejpam-6351	82	5	n	n	CCONJ
ejpam-6351	82	6	,	,	PUNCT
ejpam-6351	82	7	in	in	ADP
ejpam-6351	82	8	the	the	DET
ejpam-6351	82	9	given	give	VERB
ejpam-6351	82	10	interval	interval	NOUN
ejpam-6351	82	11	.	.	PUNCT
ejpam-6351	83	1	thus	thus	ADV
ejpam-6351	83	2	,	,	PUNCT
ejpam-6351	83	3	there	there	PRON
ejpam-6351	83	4	is	be	VERB
ejpam-6351	83	5	at	at	ADV
ejpam-6351	83	6	least	least	ADJ
ejpam-6351	83	7	one	one	NUM
ejpam-6351	83	8	xi	xi	ADP
ejpam-6351	83	9	∈	∈	PROPN
ejpam-6351	84	1	i	i	PRON
ejpam-6351	84	2	satisfying	satisfy	VERB
ejpam-6351	84	3	the	the	DET
ejpam-6351	84	4	equality	equality	NOUN
ejpam-6351	84	5	f(xi	f(xi	PROPN
ejpam-6351	84	6	)	)	PUNCT
ejpam-6351	84	7	=	=	SYM
ejpam-6351	84	8	0	0	X
ejpam-6351	84	9	.	.	PUNCT
ejpam-6351	84	10	b.	b.	PROPN
ejpam-6351	84	11	köse	köse	PROPN
ejpam-6351	84	12	,	,	PUNCT
ejpam-6351	84	13	b.	b.	PROPN
ejpam-6351	84	14	demirtürk	demirtürk	PROPN
ejpam-6351	84	15	,	,	PUNCT
ejpam-6351	84	16	ş.	ş.	PROPN
ejpam-6351	84	17	konca	konca	PROPN
ejpam-6351	84	18	/	/	SYM
ejpam-6351	84	19	eur	eur	PROPN
ejpam-6351	84	20	.	.	PUNCT
ejpam-6351	85	1	j.	j.	PROPN
ejpam-6351	85	2	pure	pure	PROPN
ejpam-6351	85	3	appl	appl	PROPN
ejpam-6351	85	4	.	.	PROPN
ejpam-6351	85	5	math	math	PROPN
ejpam-6351	85	6	,	,	PUNCT
ejpam-6351	85	7	18	18	NUM
ejpam-6351	85	8	(	(	PUNCT
ejpam-6351	85	9	3	3	NUM
ejpam-6351	85	10	)	)	PUNCT
ejpam-6351	85	11	(	(	PUNCT
ejpam-6351	85	12	2025	2025	NUM
ejpam-6351	85	13	)	)	PUNCT
ejpam-6351	85	14	,	,	PUNCT
ejpam-6351	85	15	6351	6351	NUM
ejpam-6351	85	16	4	4	NUM
ejpam-6351	85	17	of	of	ADP
ejpam-6351	85	18	22	22	NUM
ejpam-6351	85	19	2.2	2.2	NUM
ejpam-6351	85	20	.	.	PUNCT
ejpam-6351	86	1	optimization	optimization	NOUN
ejpam-6351	86	2	approaches	approach	NOUN
ejpam-6351	86	3	for	for	ADP
ejpam-6351	86	4	finding	find	VERB
ejpam-6351	86	5	the	the	DET
ejpam-6351	86	6	roots	root	NOUN
ejpam-6351	86	7	optimization	optimization	NOUN
ejpam-6351	86	8	aims	aim	VERB
ejpam-6351	86	9	to	to	PART
ejpam-6351	86	10	find	find	VERB
ejpam-6351	86	11	the	the	DET
ejpam-6351	86	12	best	good	ADJ
ejpam-6351	86	13	value	value	NOUN
ejpam-6351	86	14	of	of	ADP
ejpam-6351	86	15	an	an	DET
ejpam-6351	86	16	objective	objective	ADJ
ejpam-6351	86	17	function	function	NOUN
ejpam-6351	86	18	based	base	VERB
ejpam-6351	86	19	on	on	ADP
ejpam-6351	86	20	certain	certain	ADJ
ejpam-6351	86	21	criteria	criterion	NOUN
ejpam-6351	86	22	,	,	PUNCT
ejpam-6351	86	23	and	and	CCONJ
ejpam-6351	86	24	optimization	optimization	NOUN
ejpam-6351	86	25	methods	method	NOUN
ejpam-6351	86	26	use	use	VERB
ejpam-6351	86	27	numerical	numerical	ADJ
ejpam-6351	86	28	techniques	technique	NOUN
ejpam-6351	86	29	to	to	PART
ejpam-6351	86	30	find	find	VERB
ejpam-6351	86	31	the	the	DET
ejpam-6351	86	32	roots	root	NOUN
ejpam-6351	86	33	of	of	ADP
ejpam-6351	86	34	equations	equation	NOUN
ejpam-6351	86	35	.	.	PUNCT
ejpam-6351	87	1	root	root	NOUN
ejpam-6351	87	2	-	-	PUNCT
ejpam-6351	87	3	finding	finding	NOUN
ejpam-6351	87	4	typically	typically	ADV
ejpam-6351	87	5	involves	involve	VERB
ejpam-6351	87	6	an	an	DET
ejpam-6351	87	7	iterative	iterative	NOUN
ejpam-6351	87	8	process	process	NOUN
ejpam-6351	87	9	in	in	ADP
ejpam-6351	87	10	which	which	PRON
ejpam-6351	87	11	candidate	candidate	NOUN
ejpam-6351	87	12	root	root	NOUN
ejpam-6351	87	13	values	value	NOUN
ejpam-6351	87	14	are	be	AUX
ejpam-6351	87	15	updated	update	VERB
ejpam-6351	87	16	until	until	SCONJ
ejpam-6351	87	17	the	the	DET
ejpam-6351	87	18	objective	objective	ADJ
ejpam-6351	87	19	function	function	NOUN
ejpam-6351	87	20	reaches	reach	VERB
ejpam-6351	87	21	its	its	PRON
ejpam-6351	87	22	minimum	minimum	NOUN
ejpam-6351	87	23	or	or	CCONJ
ejpam-6351	87	24	maximum	maximum	ADJ
ejpam-6351	87	25	or	or	CCONJ
ejpam-6351	87	26	a	a	DET
ejpam-6351	87	27	set	set	NOUN
ejpam-6351	87	28	tolerance	tolerance	NOUN
ejpam-6351	87	29	is	be	AUX
ejpam-6351	87	30	met	meet	VERB
ejpam-6351	87	31	.	.	PUNCT
ejpam-6351	88	1	root	root	NOUN
ejpam-6351	88	2	-	-	PUNCT
ejpam-6351	88	3	finding	find	VERB
ejpam-6351	88	4	algorithms	algorithm	NOUN
ejpam-6351	88	5	,	,	PUNCT
ejpam-6351	88	6	such	such	ADJ
ejpam-6351	88	7	as	as	ADP
ejpam-6351	88	8	bisection	bisection	NOUN
ejpam-6351	88	9	,	,	PUNCT
ejpam-6351	88	10	golden	golden	ADJ
ejpam-6351	88	11	ratio	ratio	NOUN
ejpam-6351	88	12	,	,	PUNCT
ejpam-6351	88	13	and	and	CCONJ
ejpam-6351	88	14	fibonacci	fibonacci	NOUN
ejpam-6351	88	15	search	search	NOUN
ejpam-6351	88	16	,	,	PUNCT
ejpam-6351	88	17	are	be	AUX
ejpam-6351	88	18	common	common	ADJ
ejpam-6351	88	19	optimization	optimization	NOUN
ejpam-6351	88	20	techniques	technique	NOUN
ejpam-6351	88	21	that	that	PRON
ejpam-6351	88	22	iteratively	iteratively	ADV
ejpam-6351	88	23	identify	identify	VERB
ejpam-6351	88	24	and	and	CCONJ
ejpam-6351	88	25	refine	refine	VERB
ejpam-6351	88	26	candidate	candidate	NOUN
ejpam-6351	88	27	roots	root	NOUN
ejpam-6351	88	28	,	,	PUNCT
ejpam-6351	88	29	quickly	quickly	ADV
ejpam-6351	88	30	and	and	CCONJ
ejpam-6351	88	31	accurately	accurately	ADV
ejpam-6351	88	32	locating	locate	VERB
ejpam-6351	88	33	the	the	DET
ejpam-6351	88	34	solution	solution	NOUN
ejpam-6351	88	35	of	of	ADP
ejpam-6351	88	36	the	the	DET
ejpam-6351	88	37	equation	equation	NOUN
ejpam-6351	88	38	.	.	PUNCT
ejpam-6351	89	1	in	in	ADP
ejpam-6351	89	2	this	this	DET
ejpam-6351	89	3	section	section	NOUN
ejpam-6351	89	4	,	,	PUNCT
ejpam-6351	89	5	the	the	DET
ejpam-6351	89	6	mathematical	mathematical	ADJ
ejpam-6351	89	7	foundations	foundation	NOUN
ejpam-6351	89	8	,	,	PUNCT
ejpam-6351	89	9	accuracy	accuracy	NOUN
ejpam-6351	89	10	levels	level	NOUN
ejpam-6351	89	11	,	,	PUNCT
ejpam-6351	89	12	and	and	CCONJ
ejpam-6351	89	13	error	error	NOUN
ejpam-6351	89	14	bounds	bound	NOUN
ejpam-6351	89	15	of	of	ADP
ejpam-6351	89	16	these	these	DET
ejpam-6351	89	17	algorithms	algorithm	NOUN
ejpam-6351	89	18	are	be	AUX
ejpam-6351	89	19	presented	present	VERB
ejpam-6351	89	20	.	.	PUNCT
ejpam-6351	90	1	consider	consider	VERB
ejpam-6351	90	2	a	a	DET
ejpam-6351	90	3	function	function	NOUN
ejpam-6351	90	4	f(x	f(x	PROPN
ejpam-6351	90	5	)	)	PUNCT
ejpam-6351	90	6	in	in	ADP
ejpam-6351	90	7	one	one	NUM
ejpam-6351	90	8	variable	variable	NOUN
ejpam-6351	90	9	.	.	PUNCT
ejpam-6351	91	1	suppose	suppose	VERB
ejpam-6351	91	2	that	that	SCONJ
ejpam-6351	91	3	we	we	PRON
ejpam-6351	91	4	want	want	VERB
ejpam-6351	91	5	to	to	PART
ejpam-6351	91	6	solve	solve	VERB
ejpam-6351	91	7	the	the	DET
ejpam-6351	91	8	following	follow	VERB
ejpam-6351	91	9	optimization	optimization	NOUN
ejpam-6351	91	10	model	model	NOUN
ejpam-6351	91	11	maxf(x	maxf(x	PROPN
ejpam-6351	91	12	)	)	PUNCT
ejpam-6351	91	13	a	a	DET
ejpam-6351	91	14	≤	≤	PROPN
ejpam-6351	91	15	x	x	SYM
ejpam-6351	91	16	≤	≤	NUM
ejpam-6351	91	17	b.	b.	NOUN
ejpam-6351	91	18	for	for	ADP
ejpam-6351	91	19	some	some	DET
ejpam-6351	91	20	x	x	NOUN
ejpam-6351	91	21	,	,	PUNCT
ejpam-6351	91	22	f	f	PROPN
ejpam-6351	91	23	′(x	′(x	PROPN
ejpam-6351	91	24	)	)	PUNCT
ejpam-6351	91	25	may	may	AUX
ejpam-6351	91	26	not	not	PART
ejpam-6351	91	27	exist	exist	VERB
ejpam-6351	91	28	or	or	CCONJ
ejpam-6351	91	29	it	it	PRON
ejpam-6351	91	30	may	may	AUX
ejpam-6351	91	31	be	be	AUX
ejpam-6351	91	32	very	very	ADV
ejpam-6351	91	33	difficult	difficult	ADJ
ejpam-6351	91	34	to	to	PART
ejpam-6351	91	35	solve	solve	VERB
ejpam-6351	91	36	the	the	DET
ejpam-6351	91	37	equation	equation	NOUN
ejpam-6351	91	38	f	f	PROPN
ejpam-6351	91	39	′(x	′(x	PROPN
ejpam-6351	91	40	)	)	PUNCT
ejpam-6351	91	41	=	=	SYM
ejpam-6351	92	1	0	0	X
ejpam-6351	92	2	.	.	PUNCT
ejpam-6351	93	1	how	how	SCONJ
ejpam-6351	93	2	can	can	AUX
ejpam-6351	93	3	the	the	DET
ejpam-6351	93	4	optimal	optimal	ADJ
ejpam-6351	93	5	value	value	NOUN
ejpam-6351	93	6	of	of	ADP
ejpam-6351	93	7	the	the	DET
ejpam-6351	93	8	function	function	NOUN
ejpam-6351	93	9	f(x	f(x	PROPN
ejpam-6351	93	10	)	)	PUNCT
ejpam-6351	93	11	be	be	AUX
ejpam-6351	93	12	found	find	VERB
ejpam-6351	93	13	if	if	SCONJ
ejpam-6351	93	14	the	the	DET
ejpam-6351	93	15	given	give	VERB
ejpam-6351	93	16	interval	interval	NOUN
ejpam-6351	93	17	contains	contain	VERB
ejpam-6351	93	18	only	only	ADV
ejpam-6351	93	19	one	one	NUM
ejpam-6351	93	20	vertex	vertex	NOUN
ejpam-6351	93	21	?	?	PUNCT
ejpam-6351	94	1	for	for	ADP
ejpam-6351	94	2	the	the	DET
ejpam-6351	94	3	answer	answer	NOUN
ejpam-6351	94	4	to	to	ADP
ejpam-6351	94	5	this	this	DET
ejpam-6351	94	6	question	question	NOUN
ejpam-6351	94	7	,	,	PUNCT
ejpam-6351	94	8	the	the	DET
ejpam-6351	94	9	following	follow	VERB
ejpam-6351	94	10	optimization	optimization	NOUN
ejpam-6351	94	11	techniques	technique	NOUN
ejpam-6351	94	12	can	can	AUX
ejpam-6351	94	13	be	be	AUX
ejpam-6351	94	14	analyzed	analyze	VERB
ejpam-6351	94	15	.	.	PUNCT
ejpam-6351	95	1	root	root	NOUN
ejpam-6351	95	2	-	-	PUNCT
ejpam-6351	95	3	finding	find	VERB
ejpam-6351	95	4	methods	method	NOUN
ejpam-6351	95	5	applied	apply	VERB
ejpam-6351	95	6	to	to	ADP
ejpam-6351	95	7	both	both	DET
ejpam-6351	95	8	a	a	DET
ejpam-6351	95	9	function	function	NOUN
ejpam-6351	95	10	and	and	CCONJ
ejpam-6351	95	11	its	its	PRON
ejpam-6351	95	12	first	first	ADJ
ejpam-6351	95	13	derivative	derivative	ADJ
ejpam-6351	95	14	help	help	NOUN
ejpam-6351	95	15	to	to	PART
ejpam-6351	95	16	identify	identify	VERB
ejpam-6351	95	17	critical	critical	ADJ
ejpam-6351	95	18	points	point	NOUN
ejpam-6351	95	19	.	.	PUNCT
ejpam-6351	96	1	for	for	ADP
ejpam-6351	96	2	multimodal	multimodal	NOUN
ejpam-6351	96	3	functions	function	NOUN
ejpam-6351	96	4	,	,	PUNCT
ejpam-6351	96	5	these	these	DET
ejpam-6351	96	6	points	point	NOUN
ejpam-6351	96	7	may	may	AUX
ejpam-6351	96	8	represent	represent	VERB
ejpam-6351	96	9	local	local	ADJ
ejpam-6351	96	10	maxima	maxima	NOUN
ejpam-6351	96	11	or	or	CCONJ
ejpam-6351	96	12	minima	minima	NOUN
ejpam-6351	96	13	,	,	PUNCT
ejpam-6351	96	14	while	while	SCONJ
ejpam-6351	96	15	for	for	ADP
ejpam-6351	96	16	unimodal	unimodal	ADJ
ejpam-6351	96	17	functions	function	NOUN
ejpam-6351	96	18	the	the	DET
ejpam-6351	96	19	critical	critical	ADJ
ejpam-6351	96	20	point	point	NOUN
ejpam-6351	96	21	indicates	indicate	VERB
ejpam-6351	96	22	a	a	DET
ejpam-6351	96	23	potential	potential	ADJ
ejpam-6351	96	24	absolute	absolute	ADJ
ejpam-6351	96	25	maximum	maximum	ADJ
ejpam-6351	96	26	or	or	CCONJ
ejpam-6351	96	27	minimum	minimum	NOUN
ejpam-6351	96	28	.	.	PUNCT
ejpam-6351	97	1	the	the	DET
ejpam-6351	97	2	methods	method	NOUN
ejpam-6351	97	3	considered	consider	VERB
ejpam-6351	97	4	in	in	ADP
ejpam-6351	97	5	this	this	DET
ejpam-6351	97	6	study	study	NOUN
ejpam-6351	97	7	are	be	AUX
ejpam-6351	97	8	constructed	construct	VERB
ejpam-6351	97	9	as	as	ADP
ejpam-6351	97	10	derivative	derivative	ADJ
ejpam-6351	97	11	-	-	PUNCT
ejpam-6351	97	12	free	free	ADJ
ejpam-6351	97	13	methods	method	NOUN
ejpam-6351	97	14	that	that	PRON
ejpam-6351	97	15	do	do	AUX
ejpam-6351	97	16	not	not	PART
ejpam-6351	97	17	require	require	VERB
ejpam-6351	97	18	knowledge	knowledge	NOUN
ejpam-6351	97	19	of	of	ADP
ejpam-6351	97	20	the	the	DET
ejpam-6351	97	21	derivative	derivative	NOUN
ejpam-6351	97	22	of	of	ADP
ejpam-6351	97	23	the	the	DET
ejpam-6351	97	24	function	function	NOUN
ejpam-6351	97	25	.	.	PUNCT
ejpam-6351	98	1	the	the	DET
ejpam-6351	98	2	extreme	extreme	ADJ
ejpam-6351	98	3	value	value	NOUN
ejpam-6351	98	4	theorem	theorem	NOUN
ejpam-6351	98	5	and	and	CCONJ
ejpam-6351	98	6	bolzano	bolzano	NOUN
ejpam-6351	98	7	’s	’s	PART
ejpam-6351	98	8	theorem	theorem	PROPN
ejpam-6351	98	9	,	,	PUNCT
ejpam-6351	98	10	which	which	PRON
ejpam-6351	98	11	support	support	VERB
ejpam-6351	98	12	the	the	DET
ejpam-6351	98	13	theoretical	theoretical	ADJ
ejpam-6351	98	14	background	background	NOUN
ejpam-6351	98	15	of	of	ADP
ejpam-6351	98	16	the	the	DET
ejpam-6351	98	17	paper	paper	NOUN
ejpam-6351	98	18	,	,	PUNCT
ejpam-6351	98	19	are	be	AUX
ejpam-6351	98	20	used	use	VERB
ejpam-6351	98	21	to	to	PART
ejpam-6351	98	22	support	support	VERB
ejpam-6351	98	23	the	the	DET
ejpam-6351	98	24	process	process	NOUN
ejpam-6351	98	25	of	of	ADP
ejpam-6351	98	26	reaching	reach	VERB
ejpam-6351	98	27	the	the	DET
ejpam-6351	98	28	minimum	minimum	ADJ
ejpam-6351	98	29	value	value	NOUN
ejpam-6351	98	30	with	with	ADP
ejpam-6351	98	31	simulations	simulation	NOUN
ejpam-6351	98	32	,	,	PUNCT
ejpam-6351	98	33	making	make	VERB
ejpam-6351	98	34	the	the	DET
ejpam-6351	98	35	mathematical	mathematical	ADJ
ejpam-6351	98	36	analysis	analysis	NOUN
ejpam-6351	98	37	more	more	ADV
ejpam-6351	98	38	concrete	concrete	ADJ
ejpam-6351	98	39	.	.	PUNCT
ejpam-6351	99	1	the	the	DET
ejpam-6351	99	2	mean	mean	ADJ
ejpam-6351	99	3	absolute	absolute	ADJ
ejpam-6351	99	4	error	error	NOUN
ejpam-6351	99	5	(	(	PUNCT
ejpam-6351	99	6	mae	mae	PROPN
ejpam-6351	99	7	)	)	PUNCT
ejpam-6351	99	8	and	and	CCONJ
ejpam-6351	99	9	the	the	DET
ejpam-6351	99	10	mean	mean	ADJ
ejpam-6351	99	11	absolute	absolute	ADJ
ejpam-6351	99	12	approximation	approximation	NOUN
ejpam-6351	99	13	error	error	NOUN
ejpam-6351	99	14	(	(	PUNCT
ejpam-6351	99	15	maae	maae	NOUN
ejpam-6351	99	16	)	)	PUNCT
ejpam-6351	99	17	calculated	calculate	VERB
ejpam-6351	99	18	in	in	ADP
ejpam-6351	99	19	the	the	DET
ejpam-6351	99	20	study	study	NOUN
ejpam-6351	99	21	are	be	AUX
ejpam-6351	99	22	used	use	VERB
ejpam-6351	99	23	to	to	PART
ejpam-6351	99	24	analyze	analyze	VERB
ejpam-6351	99	25	the	the	DET
ejpam-6351	99	26	precision	precision	NOUN
ejpam-6351	99	27	and	and	CCONJ
ejpam-6351	99	28	error	error	NOUN
ejpam-6351	99	29	of	of	ADP
ejpam-6351	99	30	the	the	DET
ejpam-6351	99	31	methods	method	NOUN
ejpam-6351	99	32	,	,	PUNCT
ejpam-6351	99	33	revealing	reveal	VERB
ejpam-6351	99	34	which	which	DET
ejpam-6351	99	35	method	method	NOUN
ejpam-6351	99	36	is	be	AUX
ejpam-6351	99	37	more	more	ADV
ejpam-6351	99	38	advantageous	advantageous	ADJ
ejpam-6351	99	39	under	under	ADP
ejpam-6351	99	40	which	which	DET
ejpam-6351	99	41	conditions	condition	NOUN
ejpam-6351	99	42	.	.	PUNCT
ejpam-6351	100	1	in	in	ADP
ejpam-6351	100	2	this	this	DET
ejpam-6351	100	3	way	way	NOUN
ejpam-6351	100	4	,	,	PUNCT
ejpam-6351	100	5	it	it	PRON
ejpam-6351	100	6	has	have	AUX
ejpam-6351	100	7	been	be	AUX
ejpam-6351	100	8	prepared	prepare	VERB
ejpam-6351	100	9	as	as	ADP
ejpam-6351	100	10	a	a	DET
ejpam-6351	100	11	source	source	NOUN
ejpam-6351	100	12	of	of	ADP
ejpam-6351	100	13	guidance	guidance	NOUN
ejpam-6351	100	14	for	for	ADP
ejpam-6351	100	15	researchers	researcher	NOUN
ejpam-6351	100	16	on	on	ADP
ejpam-6351	100	17	method	method	NOUN
ejpam-6351	100	18	selection	selection	NOUN
ejpam-6351	100	19	for	for	ADP
ejpam-6351	100	20	both	both	CCONJ
ejpam-6351	100	21	theoretical	theoretical	ADJ
ejpam-6351	100	22	and	and	CCONJ
ejpam-6351	100	23	applied	applied	ADJ
ejpam-6351	100	24	research	research	NOUN
ejpam-6351	100	25	.	.	PUNCT
ejpam-6351	101	1	2.2.1	2.2.1	NUM
ejpam-6351	101	2	.	.	PUNCT
ejpam-6351	101	3	bisection	bisection	NOUN
ejpam-6351	101	4	algorithm	algorithm	NOUN
ejpam-6351	101	5	(	(	PUNCT
ejpam-6351	101	6	bm	bm	PROPN
ejpam-6351	101	7	)	)	PUNCT
ejpam-6351	101	8	the	the	DET
ejpam-6351	101	9	bisection	bisection	NOUN
ejpam-6351	101	10	method	method	NOUN
ejpam-6351	101	11	is	be	AUX
ejpam-6351	101	12	a	a	DET
ejpam-6351	101	13	simple	simple	ADJ
ejpam-6351	101	14	and	and	CCONJ
ejpam-6351	101	15	efficient	efficient	ADJ
ejpam-6351	101	16	numerical	numerical	ADJ
ejpam-6351	101	17	method	method	NOUN
ejpam-6351	101	18	based	base	VERB
ejpam-6351	101	19	on	on	ADP
ejpam-6351	101	20	the	the	DET
ejpam-6351	101	21	existence	existence	NOUN
ejpam-6351	101	22	of	of	ADP
ejpam-6351	101	23	a	a	DET
ejpam-6351	101	24	root	root	NOUN
ejpam-6351	101	25	for	for	ADP
ejpam-6351	101	26	a	a	DET
ejpam-6351	101	27	continuous	continuous	ADJ
ejpam-6351	101	28	function	function	NOUN
ejpam-6351	101	29	f(x	f(x	PROPN
ejpam-6351	101	30	)	)	PUNCT
ejpam-6351	101	31	in	in	ADP
ejpam-6351	101	32	the	the	DET
ejpam-6351	101	33	interval	interval	NOUN
ejpam-6351	101	34	[	[	X
ejpam-6351	101	35	a	a	X
ejpam-6351	101	36	,	,	PUNCT
ejpam-6351	101	37	b	b	NOUN
ejpam-6351	101	38	]	]	X
ejpam-6351	101	39	satisfying	satisfy	VERB
ejpam-6351	101	40	the	the	DET
ejpam-6351	101	41	condition	condition	NOUN
ejpam-6351	101	42	f(a	f(a	NOUN
ejpam-6351	101	43	)	)	PUNCT
ejpam-6351	101	44	·	·	PUNCT
ejpam-6351	102	1	f(b	f(b	X
ejpam-6351	102	2	)	)	PUNCT
ejpam-6351	102	3	<	<	X
ejpam-6351	102	4	0	0	PUNCT
ejpam-6351	102	5	given	give	VERB
ejpam-6351	102	6	in	in	ADP
ejpam-6351	102	7	the	the	DET
ejpam-6351	102	8	bolzano	bolzano	NOUN
ejpam-6351	102	9	theorem	theorem	NOUN
ejpam-6351	102	10	,	,	PUNCT
ejpam-6351	102	11	by	by	ADP
ejpam-6351	102	12	theorem	theorem	NOUN
ejpam-6351	102	13	1	1	NUM
ejpam-6351	102	14	.	.	PUNCT
ejpam-6351	103	1	the	the	DET
ejpam-6351	103	2	method	method	NOUN
ejpam-6351	103	3	iteratively	iteratively	ADV
ejpam-6351	103	4	approaches	approach	VERB
ejpam-6351	103	5	the	the	DET
ejpam-6351	103	6	root	root	NOUN
ejpam-6351	103	7	by	by	ADP
ejpam-6351	103	8	dividing	divide	VERB
ejpam-6351	103	9	the	the	DET
ejpam-6351	103	10	interval	interval	NOUN
ejpam-6351	103	11	in	in	ADP
ejpam-6351	103	12	half	half	NOUN
ejpam-6351	103	13	at	at	ADP
ejpam-6351	103	14	each	each	DET
ejpam-6351	103	15	step	step	NOUN
ejpam-6351	103	16	.	.	PUNCT
ejpam-6351	104	1	this	this	DET
ejpam-6351	104	2	algorithm	algorithm	NOUN
ejpam-6351	104	3	shows	show	VERB
ejpam-6351	104	4	linear	linear	ADJ
ejpam-6351	104	5	convergence	convergence	NOUN
ejpam-6351	104	6	and	and	CCONJ
ejpam-6351	104	7	the	the	DET
ejpam-6351	104	8	error	error	NOUN
ejpam-6351	104	9	is	be	AUX
ejpam-6351	104	10	halved	halve	VERB
ejpam-6351	104	11	with	with	ADP
ejpam-6351	104	12	each	each	DET
ejpam-6351	104	13	iteration	iteration	NOUN
ejpam-6351	104	14	.	.	PUNCT
ejpam-6351	105	1	this	this	DET
ejpam-6351	105	2	algorithm	algorithm	NOUN
ejpam-6351	105	3	follows	follow	VERB
ejpam-6351	105	4	the	the	DET
ejpam-6351	105	5	following	follow	VERB
ejpam-6351	105	6	steps	step	NOUN
ejpam-6351	105	7	:	:	PUNCT
ejpam-6351	105	8	there	there	PRON
ejpam-6351	105	9	exist	exist	VERB
ejpam-6351	105	10	points	point	NOUN
ejpam-6351	105	11	a	a	PRON
ejpam-6351	105	12	and	and	CCONJ
ejpam-6351	105	13	b	b	NOUN
ejpam-6351	105	14	such	such	ADJ
ejpam-6351	105	15	that	that	SCONJ
ejpam-6351	105	16	a	a	DET
ejpam-6351	105	17	<	<	X
ejpam-6351	105	18	b	b	NOUN
ejpam-6351	105	19	and	and	CCONJ
ejpam-6351	105	20	f(a	f(a	PROPN
ejpam-6351	105	21	)	)	PUNCT
ejpam-6351	105	22	·	·	PUNCT
ejpam-6351	106	1	f(b	f(b	X
ejpam-6351	106	2	)	)	PUNCT
ejpam-6351	106	3	<	<	X
ejpam-6351	106	4	0	0	X
ejpam-6351	106	5	.	.	PUNCT
ejpam-6351	106	6	then	then	ADV
ejpam-6351	106	7	calculate	calculate	VERB
ejpam-6351	106	8	the	the	DET
ejpam-6351	106	9	midpoint	midpoint	NOUN
ejpam-6351	106	10	of	of	ADP
ejpam-6351	106	11	points	point	NOUN
ejpam-6351	106	12	a	a	PRON
ejpam-6351	106	13	and	and	CCONJ
ejpam-6351	106	14	b	b	NOUN
ejpam-6351	106	15	and	and	CCONJ
ejpam-6351	106	16	call	call	VERB
ejpam-6351	106	17	this	this	DET
ejpam-6351	106	18	point	point	NOUN
ejpam-6351	106	19	t.	t.	PROPN
ejpam-6351	106	20	let	let	VERB
ejpam-6351	106	21	t	t	PROPN
ejpam-6351	106	22	=	=	SYM
ejpam-6351	106	23	(	(	PUNCT
ejpam-6351	106	24	a	a	DET
ejpam-6351	106	25	+	+	X
ejpam-6351	106	26	b)/2	b)/2	PROPN
ejpam-6351	106	27	.	.	PUNCT
ejpam-6351	107	1	if	if	SCONJ
ejpam-6351	107	2	f(t	f(t	NOUN
ejpam-6351	107	3	)	)	PUNCT
ejpam-6351	107	4	=	=	SYM
ejpam-6351	107	5	0	0	NUM
ejpam-6351	107	6	,	,	PUNCT
ejpam-6351	107	7	t	t	PROPN
ejpam-6351	107	8	is	be	AUX
ejpam-6351	107	9	the	the	DET
ejpam-6351	107	10	root	root	NOUN
ejpam-6351	107	11	of	of	ADP
ejpam-6351	107	12	the	the	DET
ejpam-6351	107	13	given	give	VERB
ejpam-6351	107	14	function	function	NOUN
ejpam-6351	107	15	.	.	PUNCT
ejpam-6351	108	1	if	if	SCONJ
ejpam-6351	108	2	not	not	PART
ejpam-6351	108	3	,	,	PUNCT
ejpam-6351	108	4	proceed	proceed	VERB
ejpam-6351	108	5	to	to	ADP
ejpam-6351	108	6	the	the	DET
ejpam-6351	108	7	next	next	ADJ
ejpam-6351	108	8	step	step	NOUN
ejpam-6351	108	9	.	.	PUNCT
ejpam-6351	109	1	then	then	ADV
ejpam-6351	109	2	divide	divide	VERB
ejpam-6351	109	3	the	the	DET
ejpam-6351	109	4	interval	interval	NOUN
ejpam-6351	109	5	[	[	X
ejpam-6351	109	6	a	a	X
ejpam-6351	109	7	,	,	PUNCT
ejpam-6351	109	8	b	b	NOUN
ejpam-6351	109	9	]	]	PUNCT
ejpam-6351	109	10	by	by	ADP
ejpam-6351	109	11	two	two	NUM
ejpam-6351	109	12	.	.	PUNCT
ejpam-6351	110	1	if	if	SCONJ
ejpam-6351	110	2	f(t	f(t	NOUN
ejpam-6351	110	3	)	)	PUNCT
ejpam-6351	110	4	·	·	PUNCT
ejpam-6351	111	1	f(a	f(a	X
ejpam-6351	111	2	)	)	PUNCT
ejpam-6351	112	1	<	<	X
ejpam-6351	112	2	0	0	PUNCT
ejpam-6351	113	1	then	then	ADV
ejpam-6351	113	2	there	there	PRON
ejpam-6351	113	3	is	be	VERB
ejpam-6351	113	4	a	a	DET
ejpam-6351	113	5	root	root	NOUN
ejpam-6351	113	6	between	between	ADP
ejpam-6351	113	7	a	a	PRON
ejpam-6351	113	8	and	and	CCONJ
ejpam-6351	113	9	t	t	NOUN
ejpam-6351	113	10	,	,	PUNCT
ejpam-6351	113	11	otherwise	otherwise	ADV
ejpam-6351	113	12	if	if	SCONJ
ejpam-6351	113	13	f(t	f(t	NOUN
ejpam-6351	113	14	)	)	PUNCT
ejpam-6351	113	15	·	·	PUNCT
ejpam-6351	113	16	f(b	f(b	X
ejpam-6351	113	17	)	)	PUNCT
ejpam-6351	113	18	<	<	X
ejpam-6351	113	19	0	0	PUNCT
ejpam-6351	114	1	then	then	ADV
ejpam-6351	114	2	there	there	PRON
ejpam-6351	114	3	is	be	VERB
ejpam-6351	114	4	a	a	DET
ejpam-6351	114	5	root	root	NOUN
ejpam-6351	114	6	between	between	ADP
ejpam-6351	114	7	t	t	PROPN
ejpam-6351	114	8	and	and	CCONJ
ejpam-6351	114	9	b.	b.	PROPN
ejpam-6351	114	10	continue	continue	VERB
ejpam-6351	114	11	the	the	DET
ejpam-6351	114	12	above	above	ADJ
ejpam-6351	114	13	steps	step	NOUN
ejpam-6351	114	14	until	until	ADP
ejpam-6351	114	15	f(t	f(t	NOUN
ejpam-6351	114	16	)	)	PUNCT
ejpam-6351	114	17	=	=	SYM
ejpam-6351	114	18	0	0	X
ejpam-6351	114	19	.	.	PUNCT
ejpam-6351	114	20	b.	b.	PROPN
ejpam-6351	114	21	köse	köse	PROPN
ejpam-6351	114	22	,	,	PUNCT
ejpam-6351	114	23	b.	b.	PROPN
ejpam-6351	114	24	demirtürk	demirtürk	PROPN
ejpam-6351	114	25	,	,	PUNCT
ejpam-6351	114	26	ş.	ş.	PROPN
ejpam-6351	114	27	konca	konca	PROPN
ejpam-6351	114	28	/	/	SYM
ejpam-6351	114	29	eur	eur	PROPN
ejpam-6351	114	30	.	.	PUNCT
ejpam-6351	115	1	j.	j.	PROPN
ejpam-6351	115	2	pure	pure	PROPN
ejpam-6351	115	3	appl	appl	PROPN
ejpam-6351	115	4	.	.	PROPN
ejpam-6351	115	5	math	math	PROPN
ejpam-6351	115	6	,	,	PUNCT
ejpam-6351	115	7	18	18	NUM
ejpam-6351	115	8	(	(	PUNCT
ejpam-6351	115	9	3	3	NUM
ejpam-6351	115	10	)	)	PUNCT
ejpam-6351	115	11	(	(	PUNCT
ejpam-6351	115	12	2025	2025	NUM
ejpam-6351	115	13	)	)	PUNCT
ejpam-6351	115	14	,	,	PUNCT
ejpam-6351	115	15	6351	6351	NUM
ejpam-6351	115	16	5	5	NUM
ejpam-6351	115	17	of	of	ADP
ejpam-6351	115	18	22	22	NUM
ejpam-6351	115	19	the	the	DET
ejpam-6351	115	20	error	error	NOUN
ejpam-6351	115	21	bound	bind	VERB
ejpam-6351	115	22	after	after	ADP
ejpam-6351	115	23	the	the	DET
ejpam-6351	115	24	n	n	CCONJ
ejpam-6351	115	25	-	-	PUNCT
ejpam-6351	115	26	th	th	VERB
ejpam-6351	115	27	iteration	iteration	NOUN
ejpam-6351	115	28	is	be	AUX
ejpam-6351	115	29	given	give	VERB
ejpam-6351	115	30	by	by	ADP
ejpam-6351	115	31	xn	xn	PROPN
ejpam-6351	116	1	=	=	SYM
ejpam-6351	116	2	a+	a+	PUNCT
ejpam-6351	116	3	b	b	PROPN
ejpam-6351	116	4	2	2	NUM
ejpam-6351	116	5	,	,	PUNCT
ejpam-6351	116	6	∣∣xn	∣∣xn	PROPN
ejpam-6351	116	7	−	−	NOUN
ejpam-6351	116	8	xr	xr	X
ejpam-6351	116	9	∣∣	∣∣	VERB
ejpam-6351	116	10	≤	≤	PUNCT
ejpam-6351	116	11	b−	b−	PROPN
ejpam-6351	116	12	a	a	DET
ejpam-6351	116	13	2n	2n	NUM
ejpam-6351	116	14	,	,	PUNCT
ejpam-6351	116	15	(	(	PUNCT
ejpam-6351	116	16	1	1	X
ejpam-6351	116	17	)	)	PUNCT
ejpam-6351	116	18	where	where	SCONJ
ejpam-6351	116	19	xr	xr	PROPN
ejpam-6351	116	20	denotes	denote	VERB
ejpam-6351	116	21	the	the	DET
ejpam-6351	116	22	true	true	ADJ
ejpam-6351	116	23	root	root	NOUN
ejpam-6351	116	24	and	and	CCONJ
ejpam-6351	116	25	n	n	NOUN
ejpam-6351	116	26	is	be	AUX
ejpam-6351	116	27	the	the	DET
ejpam-6351	116	28	number	number	NOUN
ejpam-6351	116	29	of	of	ADP
ejpam-6351	116	30	iterations	iteration	NOUN
ejpam-6351	116	31	.	.	PUNCT
ejpam-6351	117	1	the	the	DET
ejpam-6351	117	2	minimum	minimum	ADJ
ejpam-6351	117	3	number	number	NOUN
ejpam-6351	117	4	of	of	ADP
ejpam-6351	117	5	iterations	iteration	NOUN
ejpam-6351	117	6	required	require	VERB
ejpam-6351	117	7	to	to	PART
ejpam-6351	117	8	achieve	achieve	VERB
ejpam-6351	117	9	a	a	DET
ejpam-6351	117	10	tolerance	tolerance	NOUN
ejpam-6351	117	11	ε	ε	PROPN
ejpam-6351	117	12	satisfies	satisfy	VERB
ejpam-6351	117	13	log(b−	log(b−	X
ejpam-6351	118	1	a)−	a)−	PROPN
ejpam-6351	118	2	log	log	NOUN
ejpam-6351	118	3	ε	ε	PROPN
ejpam-6351	118	4	log	log	VERB
ejpam-6351	118	5	2	2	NUM
ejpam-6351	118	6	≤	≤	NOUN
ejpam-6351	118	7	n.	n.	NOUN
ejpam-6351	118	8	(	(	PUNCT
ejpam-6351	118	9	2	2	NUM
ejpam-6351	118	10	)	)	PUNCT
ejpam-6351	118	11	this	this	DET
ejpam-6351	118	12	method	method	NOUN
ejpam-6351	118	13	is	be	AUX
ejpam-6351	118	14	highly	highly	ADV
ejpam-6351	118	15	stable	stable	ADJ
ejpam-6351	118	16	,	,	PUNCT
ejpam-6351	118	17	but	but	CCONJ
ejpam-6351	118	18	exhibits	exhibit	VERB
ejpam-6351	118	19	a	a	DET
ejpam-6351	118	20	slow	slow	ADJ
ejpam-6351	118	21	convergence	convergence	NOUN
ejpam-6351	118	22	rate	rate	NOUN
ejpam-6351	118	23	,	,	PUNCT
ejpam-6351	118	24	although	although	SCONJ
ejpam-6351	118	25	it	it	PRON
ejpam-6351	118	26	guarantees	guarantee	VERB
ejpam-6351	118	27	convergence	convergence	NOUN
ejpam-6351	118	28	[	[	X
ejpam-6351	118	29	14	14	NUM
ejpam-6351	118	30	]	]	PUNCT
ejpam-6351	118	31	.	.	PUNCT
ejpam-6351	119	1	however	however	ADV
ejpam-6351	119	2	,	,	PUNCT
ejpam-6351	119	3	it	it	PRON
ejpam-6351	119	4	can	can	AUX
ejpam-6351	119	5	not	not	PART
ejpam-6351	119	6	be	be	AUX
ejpam-6351	119	7	applied	apply	VERB
ejpam-6351	119	8	to	to	ADP
ejpam-6351	119	9	discontinuous	discontinuous	ADJ
ejpam-6351	119	10	functions	function	NOUN
ejpam-6351	119	11	,	,	PUNCT
ejpam-6351	119	12	and	and	CCONJ
ejpam-6351	119	13	it	it	PRON
ejpam-6351	119	14	fails	fail	VERB
ejpam-6351	119	15	to	to	PART
ejpam-6351	119	16	start	start	VERB
ejpam-6351	119	17	if	if	SCONJ
ejpam-6351	119	18	f(a	f(a	NOUN
ejpam-6351	119	19	)	)	PUNCT
ejpam-6351	119	20	f(b	f(b	PROPN
ejpam-6351	119	21	)	)	PUNCT
ejpam-6351	119	22	≥	≥	NOUN
ejpam-6351	119	23	0	0	NUM
ejpam-6351	119	24	.	.	PUNCT
ejpam-6351	120	1	let	let	VERB
ejpam-6351	120	2	us	we	PRON
ejpam-6351	120	3	give	give	VERB
ejpam-6351	120	4	the	the	DET
ejpam-6351	120	5	flow	flow	NOUN
ejpam-6351	120	6	diagram	diagram	NOUN
ejpam-6351	120	7	for	for	ADP
ejpam-6351	120	8	the	the	DET
ejpam-6351	120	9	bisection	bisection	NOUN
ejpam-6351	120	10	algorithm	algorithm	NOUN
ejpam-6351	120	11	in	in	ADP
ejpam-6351	120	12	figure	figure	NOUN
ejpam-6351	120	13	1	1	NUM
ejpam-6351	120	14	.	.	PUNCT
ejpam-6351	120	15	figure	figure	NOUN
ejpam-6351	120	16	1	1	NUM
ejpam-6351	120	17	:	:	PUNCT
ejpam-6351	120	18	the	the	DET
ejpam-6351	120	19	flowchart	flowchart	NOUN
ejpam-6351	120	20	of	of	ADP
ejpam-6351	120	21	the	the	DET
ejpam-6351	120	22	bm	bm	PROPN
ejpam-6351	120	23	algorithm	algorithm	PROPN
ejpam-6351	120	24	[	[	X
ejpam-6351	120	25	15	15	X
ejpam-6351	120	26	]	]	PUNCT
ejpam-6351	120	27	we	we	PRON
ejpam-6351	120	28	suggest	suggest	AUX
ejpam-6351	120	29	consulting	consult	VERB
ejpam-6351	120	30	[	[	X
ejpam-6351	120	31	14–17	14–17	NUM
ejpam-6351	120	32	]	]	PUNCT
ejpam-6351	120	33	for	for	ADP
ejpam-6351	120	34	more	more	ADJ
ejpam-6351	120	35	details	detail	NOUN
ejpam-6351	120	36	on	on	ADP
ejpam-6351	120	37	this	this	DET
ejpam-6351	120	38	algorithm	algorithm	NOUN
ejpam-6351	120	39	.	.	PUNCT
ejpam-6351	121	1	2.2.2	2.2.2	X
ejpam-6351	121	2	.	.	PUNCT
ejpam-6351	121	3	golden	golden	ADJ
ejpam-6351	121	4	ratio	ratio	NOUN
ejpam-6351	121	5	search	search	NOUN
ejpam-6351	121	6	algorithm	algorithm	NOUN
ejpam-6351	121	7	(	(	PUNCT
ejpam-6351	121	8	gr	gr	NOUN
ejpam-6351	121	9	)	)	PUNCT
ejpam-6351	121	10	the	the	DET
ejpam-6351	121	11	golden	golden	ADJ
ejpam-6351	121	12	ratio	ratio	NOUN
ejpam-6351	121	13	search	search	NOUN
ejpam-6351	121	14	method	method	NOUN
ejpam-6351	121	15	is	be	AUX
ejpam-6351	121	16	a	a	DET
ejpam-6351	121	17	reduction	reduction	NOUN
ejpam-6351	121	18	method	method	NOUN
ejpam-6351	121	19	used	use	VERB
ejpam-6351	121	20	to	to	PART
ejpam-6351	121	21	find	find	VERB
ejpam-6351	121	22	the	the	DET
ejpam-6351	121	23	minimum	minimum	ADJ
ejpam-6351	121	24	value	value	NOUN
ejpam-6351	121	25	,	,	PUNCT
ejpam-6351	121	26	especially	especially	ADV
ejpam-6351	121	27	for	for	ADP
ejpam-6351	121	28	unimodal	unimodal	ADJ
ejpam-6351	121	29	functions	function	NOUN
ejpam-6351	121	30	.	.	PUNCT
ejpam-6351	122	1	the	the	DET
ejpam-6351	122	2	golden	golden	ADJ
ejpam-6351	122	3	ratio	ratio	NOUN
ejpam-6351	122	4	is	be	AUX
ejpam-6351	122	5	a	a	DET
ejpam-6351	122	6	special	special	ADJ
ejpam-6351	122	7	ratio	ratio	NOUN
ejpam-6351	122	8	found	find	VERB
ejpam-6351	122	9	in	in	ADP
ejpam-6351	122	10	nature	nature	NOUN
ejpam-6351	122	11	,	,	PUNCT
ejpam-6351	122	12	b.	b.	PROPN
ejpam-6351	122	13	köse	köse	PROPN
ejpam-6351	122	14	,	,	PUNCT
ejpam-6351	122	15	b.	b.	PROPN
ejpam-6351	122	16	demirtürk	demirtürk	PROPN
ejpam-6351	122	17	,	,	PUNCT
ejpam-6351	122	18	ş.	ş.	PROPN
ejpam-6351	122	19	konca	konca	PROPN
ejpam-6351	122	20	/	/	SYM
ejpam-6351	122	21	eur	eur	PROPN
ejpam-6351	122	22	.	.	PUNCT
ejpam-6351	123	1	j.	j.	PROPN
ejpam-6351	123	2	pure	pure	PROPN
ejpam-6351	123	3	appl	appl	PROPN
ejpam-6351	123	4	.	.	PROPN
ejpam-6351	123	5	math	math	PROPN
ejpam-6351	123	6	,	,	PUNCT
ejpam-6351	123	7	18	18	NUM
ejpam-6351	123	8	(	(	PUNCT
ejpam-6351	123	9	3	3	NUM
ejpam-6351	123	10	)	)	PUNCT
ejpam-6351	123	11	(	(	PUNCT
ejpam-6351	123	12	2025	2025	NUM
ejpam-6351	123	13	)	)	PUNCT
ejpam-6351	123	14	,	,	PUNCT
ejpam-6351	123	15	6351	6351	NUM
ejpam-6351	123	16	6	6	NUM
ejpam-6351	123	17	of	of	ADP
ejpam-6351	123	18	22	22	NUM
ejpam-6351	123	19	art	art	NOUN
ejpam-6351	123	20	,	,	PUNCT
ejpam-6351	123	21	and	and	CCONJ
ejpam-6351	123	22	architecture	architecture	NOUN
ejpam-6351	123	23	,	,	PUNCT
ejpam-6351	123	24	often	often	ADV
ejpam-6351	123	25	considered	consider	VERB
ejpam-6351	123	26	aesthetically	aesthetically	ADV
ejpam-6351	123	27	harmonious	harmonious	ADJ
ejpam-6351	123	28	.	.	PUNCT
ejpam-6351	124	1	it	it	PRON
ejpam-6351	124	2	appears	appear	VERB
ejpam-6351	124	3	in	in	ADP
ejpam-6351	124	4	the	the	DET
ejpam-6351	124	5	human	human	ADJ
ejpam-6351	124	6	body	body	NOUN
ejpam-6351	124	7	,	,	PUNCT
ejpam-6351	124	8	plants	plant	NOUN
ejpam-6351	124	9	,	,	PUNCT
ejpam-6351	124	10	and	and	CCONJ
ejpam-6351	124	11	shells	shell	NOUN
ejpam-6351	124	12	.	.	PUNCT
ejpam-6351	125	1	this	this	DET
ejpam-6351	125	2	ratio	ratio	NOUN
ejpam-6351	125	3	,	,	PUNCT
ejpam-6351	125	4	discovered	discover	VERB
ejpam-6351	125	5	by	by	ADP
ejpam-6351	125	6	ancient	ancient	ADJ
ejpam-6351	125	7	egyptians	egyptians	PROPN
ejpam-6351	125	8	and	and	CCONJ
ejpam-6351	125	9	greeks	greeks	PROPN
ejpam-6351	125	10	,	,	PUNCT
ejpam-6351	125	11	divides	divide	VERB
ejpam-6351	125	12	a	a	DET
ejpam-6351	125	13	line	line	NOUN
ejpam-6351	125	14	so	so	SCONJ
ejpam-6351	125	15	that	that	SCONJ
ejpam-6351	125	16	the	the	DET
ejpam-6351	125	17	ratio	ratio	NOUN
ejpam-6351	125	18	of	of	ADP
ejpam-6351	125	19	the	the	DET
ejpam-6351	125	20	smaller	small	ADJ
ejpam-6351	125	21	part	part	NOUN
ejpam-6351	125	22	to	to	ADP
ejpam-6351	125	23	the	the	DET
ejpam-6351	125	24	larger	large	ADJ
ejpam-6351	125	25	part	part	NOUN
ejpam-6351	125	26	is	be	AUX
ejpam-6351	125	27	the	the	DET
ejpam-6351	125	28	same	same	ADJ
ejpam-6351	125	29	as	as	ADP
ejpam-6351	125	30	the	the	DET
ejpam-6351	125	31	ratio	ratio	NOUN
ejpam-6351	125	32	of	of	ADP
ejpam-6351	125	33	the	the	DET
ejpam-6351	125	34	larger	large	ADJ
ejpam-6351	125	35	part	part	NOUN
ejpam-6351	125	36	to	to	ADP
ejpam-6351	125	37	the	the	DET
ejpam-6351	125	38	whole	whole	ADJ
ejpam-6351	125	39	line	line	NOUN
ejpam-6351	125	40	.	.	PUNCT
ejpam-6351	126	1	according	accord	VERB
ejpam-6351	126	2	to	to	ADP
ejpam-6351	126	3	plato	plato	PROPN
ejpam-6351	126	4	,	,	PUNCT
ejpam-6351	126	5	this	this	DET
ejpam-6351	126	6	ratio	ratio	NOUN
ejpam-6351	126	7	is	be	AUX
ejpam-6351	126	8	the	the	DET
ejpam-6351	126	9	key	key	NOUN
ejpam-6351	126	10	to	to	ADP
ejpam-6351	126	11	cosmic	cosmic	ADJ
ejpam-6351	126	12	physics	physic	NOUN
ejpam-6351	126	13	.	.	PUNCT
ejpam-6351	127	1	let	let	VERB
ejpam-6351	127	2	the	the	DET
ejpam-6351	127	3	length	length	NOUN
ejpam-6351	127	4	of	of	ADP
ejpam-6351	127	5	the	the	DET
ejpam-6351	127	6	interval	interval	NOUN
ejpam-6351	127	7	[	[	X
ejpam-6351	127	8	xa	xa	PROPN
ejpam-6351	127	9	,	,	PUNCT
ejpam-6351	127	10	xu	xu	PROPN
ejpam-6351	127	11	]	]	PUNCT
ejpam-6351	127	12	be	be	AUX
ejpam-6351	127	13	l0	l0	PROPN
ejpam-6351	127	14	.	.	PUNCT
ejpam-6351	128	1	divide	divide	VERB
ejpam-6351	128	2	this	this	DET
ejpam-6351	128	3	interval	interval	NOUN
ejpam-6351	128	4	into	into	ADP
ejpam-6351	128	5	l1	l1	PROPN
ejpam-6351	128	6	and	and	CCONJ
ejpam-6351	128	7	l2	l2	NOUN
ejpam-6351	128	8	subintervals	subinterval	NOUN
ejpam-6351	128	9	such	such	ADJ
ejpam-6351	128	10	that	that	DET
ejpam-6351	128	11	l0	l0	PROPN
ejpam-6351	128	12	=	=	PROPN
ejpam-6351	128	13	l1	l1	PROPN
ejpam-6351	128	14	+	+	CCONJ
ejpam-6351	128	15	l2	l2	PROPN
ejpam-6351	128	16	and	and	CCONJ
ejpam-6351	128	17	l1	l1	PROPN
ejpam-6351	128	18	l0	l0	PROPN
ejpam-6351	128	19	=	=	PROPN
ejpam-6351	128	20	l2	l2	PROPN
ejpam-6351	128	21	l1	l1	PROPN
ejpam-6351	128	22	.	.	PUNCT
ejpam-6351	129	1	from	from	ADP
ejpam-6351	129	2	l1	l1	PROPN
ejpam-6351	129	3	l0	l0	PROPN
ejpam-6351	129	4	=	=	PROPN
ejpam-6351	129	5	l2	l2	PROPN
ejpam-6351	129	6	l1	l1	PROPN
ejpam-6351	129	7	=	=	PRON
ejpam-6351	129	8	⇒	⇒	PROPN
ejpam-6351	129	9	l1	l1	PROPN
ejpam-6351	129	10	l1	l1	PROPN
ejpam-6351	129	11	+	+	CCONJ
ejpam-6351	129	12	l2	l2	NOUN
ejpam-6351	129	13	=	=	SYM
ejpam-6351	129	14	l2	l2	NOUN
ejpam-6351	129	15	l1	l1	PROPN
ejpam-6351	129	16	.	.	PUNCT
ejpam-6351	130	1	taking	take	VERB
ejpam-6351	130	2	l2	l2	NOUN
ejpam-6351	130	3	l1	l1	NOUN
ejpam-6351	130	4	=	=	PUNCT
ejpam-6351	130	5	r	r	NOUN
ejpam-6351	130	6	in	in	ADP
ejpam-6351	130	7	the	the	DET
ejpam-6351	130	8	above	above	ADJ
ejpam-6351	130	9	equation	equation	NOUN
ejpam-6351	130	10	,	,	PUNCT
ejpam-6351	130	11	we	we	PRON
ejpam-6351	130	12	have	have	VERB
ejpam-6351	130	13	1+r	1+r	NUM
ejpam-6351	130	14	=	=	SYM
ejpam-6351	130	15	1	1	NUM
ejpam-6351	130	16	r	r	NOUN
ejpam-6351	130	17	.	.	PUNCT
ejpam-6351	131	1	thus	thus	ADV
ejpam-6351	131	2	,	,	PUNCT
ejpam-6351	131	3	we	we	PRON
ejpam-6351	131	4	get	get	VERB
ejpam-6351	131	5	the	the	DET
ejpam-6351	131	6	characteristic	characteristic	ADJ
ejpam-6351	131	7	equation	equation	NOUN
ejpam-6351	131	8	r2	r2	PROPN
ejpam-6351	131	9	+	+	CCONJ
ejpam-6351	131	10	r−	r−	PROPN
ejpam-6351	131	11	1	1	NUM
ejpam-6351	131	12	=	=	SYM
ejpam-6351	131	13	0	0	NUM
ejpam-6351	131	14	.	.	PUNCT
ejpam-6351	132	1	the	the	DET
ejpam-6351	132	2	positive	positive	ADJ
ejpam-6351	132	3	root	root	NOUN
ejpam-6351	132	4	of	of	ADP
ejpam-6351	132	5	this	this	DET
ejpam-6351	132	6	equation	equation	NOUN
ejpam-6351	132	7	is	be	AUX
ejpam-6351	132	8	the	the	DET
ejpam-6351	132	9	golden	golden	ADJ
ejpam-6351	132	10	ratio	ratio	NOUN
ejpam-6351	132	11	r	r	NOUN
ejpam-6351	132	12	=	=	PUNCT
ejpam-6351	132	13	√	√	PROPN
ejpam-6351	132	14	5−1	5−1	NUM
ejpam-6351	132	15	2	2	NUM
ejpam-6351	132	16	=	=	SYM
ejpam-6351	132	17	0.61803	0.61803	NUM
ejpam-6351	132	18	.	.	PUNCT
ejpam-6351	132	19	.	.	PUNCT
ejpam-6351	132	20	.	.	PUNCT
ejpam-6351	133	1	the	the	DET
ejpam-6351	133	2	golden	golden	ADJ
ejpam-6351	133	3	ratio	ratio	NOUN
ejpam-6351	133	4	is	be	AUX
ejpam-6351	133	5	also	also	ADV
ejpam-6351	133	6	related	relate	VERB
ejpam-6351	133	7	to	to	ADP
ejpam-6351	133	8	fibonacci	fibonacci	NOUN
ejpam-6351	133	9	numbers	number	NOUN
ejpam-6351	133	10	,	,	PUNCT
ejpam-6351	133	11	an	an	DET
ejpam-6351	133	12	important	important	ADJ
ejpam-6351	133	13	mathematical	mathematical	ADJ
ejpam-6351	133	14	series	series	NOUN
ejpam-6351	133	15	:	:	PUNCT
ejpam-6351	133	16	0	0	NUM
ejpam-6351	133	17	,	,	PUNCT
ejpam-6351	133	18	1	1	NUM
ejpam-6351	133	19	,	,	PUNCT
ejpam-6351	133	20	1	1	NUM
ejpam-6351	133	21	,	,	PUNCT
ejpam-6351	133	22	2	2	NUM
ejpam-6351	133	23	,	,	PUNCT
ejpam-6351	133	24	3	3	NUM
ejpam-6351	133	25	,	,	PUNCT
ejpam-6351	133	26	5	5	NUM
ejpam-6351	133	27	,	,	PUNCT
ejpam-6351	133	28	8	8	NUM
ejpam-6351	133	29	,	,	PUNCT
ejpam-6351	133	30	13	13	NUM
ejpam-6351	133	31	,	,	PUNCT
ejpam-6351	133	32	21	21	NUM
ejpam-6351	133	33	,	,	PUNCT
ejpam-6351	133	34	34	34	NUM
ejpam-6351	133	35	,	,	PUNCT
ejpam-6351	133	36	.	.	PUNCT
ejpam-6351	133	37	.	.	PUNCT
ejpam-6351	133	38	.	.	PUNCT
ejpam-6351	134	1	the	the	DET
ejpam-6351	134	2	fibonacci	fibonacci	PROPN
ejpam-6351	134	3	series	series	NOUN
ejpam-6351	134	4	given	give	VERB
ejpam-6351	134	5	by	by	ADP
ejpam-6351	134	6	the	the	DET
ejpam-6351	134	7	recurrence	recurrence	NOUN
ejpam-6351	134	8	relation	relation	NOUN
ejpam-6351	134	9	fn+1	fn+1	PUNCT
ejpam-6351	135	1	=	=	SYM
ejpam-6351	135	2	fn	fn	PROPN
ejpam-6351	136	1	+	+	CCONJ
ejpam-6351	136	2	fn−1	fn−1	ADJ
ejpam-6351	136	3	,	,	PUNCT
ejpam-6351	136	4	∀n	∀n	NUM
ejpam-6351	136	5	≥	≥	NOUN
ejpam-6351	136	6	1	1	NUM
ejpam-6351	136	7	with	with	ADP
ejpam-6351	136	8	the	the	DET
ejpam-6351	136	9	initial	initial	ADJ
ejpam-6351	136	10	conditions	condition	NOUN
ejpam-6351	136	11	f0	f0	PROPN
ejpam-6351	136	12	=	=	SYM
ejpam-6351	136	13	0	0	NUM
ejpam-6351	136	14	and	and	CCONJ
ejpam-6351	136	15	f1	f1	NOUN
ejpam-6351	136	16	=	=	NOUN
ejpam-6351	136	17	1	1	X
ejpam-6351	136	18	.	.	PUNCT
ejpam-6351	137	1	fn	fn	PROPN
ejpam-6351	137	2	is	be	AUX
ejpam-6351	137	3	called	call	VERB
ejpam-6351	137	4	the	the	DET
ejpam-6351	137	5	n	n	CCONJ
ejpam-6351	137	6	-	-	PUNCT
ejpam-6351	137	7	th	th	VERB
ejpam-6351	137	8	fibonacci	fibonacci	NOUN
ejpam-6351	137	9	number	number	NOUN
ejpam-6351	137	10	.	.	PUNCT
ejpam-6351	138	1	the	the	DET
ejpam-6351	138	2	ratio	ratio	NOUN
ejpam-6351	138	3	of	of	ADP
ejpam-6351	138	4	the	the	DET
ejpam-6351	138	5	consecutive	consecutive	ADJ
ejpam-6351	138	6	fibonacci	fibonacci	NOUN
ejpam-6351	138	7	numbers	number	NOUN
ejpam-6351	138	8	are	be	AUX
ejpam-6351	138	9	:	:	PUNCT
ejpam-6351	138	10	0/1	0/1	X
ejpam-6351	138	11	=	=	SYM
ejpam-6351	138	12	0	0	NUM
ejpam-6351	138	13	,	,	PUNCT
ejpam-6351	138	14	1/1	1/1	NUM
ejpam-6351	138	15	=	=	SYM
ejpam-6351	138	16	1	1	NUM
ejpam-6351	138	17	,	,	PUNCT
ejpam-6351	138	18	1/2	1/2	NUM
ejpam-6351	138	19	=	=	SYM
ejpam-6351	138	20	0.5	0.5	NUM
ejpam-6351	138	21	,	,	PUNCT
ejpam-6351	138	22	2/3	2/3	NUM
ejpam-6351	138	23	≈	≈	PROPN
ejpam-6351	138	24	0.667	0.667	NUM
ejpam-6351	138	25	,	,	PUNCT
ejpam-6351	138	26	3/5	3/5	NUM
ejpam-6351	138	27	=	=	SYM
ejpam-6351	138	28	0.6	0.6	NUM
ejpam-6351	138	29	,	,	PUNCT
ejpam-6351	138	30	5/8	5/8	NUM
ejpam-6351	138	31	=	=	SYM
ejpam-6351	138	32	0.625	0.625	NUM
ejpam-6351	138	33	,	,	PUNCT
ejpam-6351	138	34	8/13	8/13	NUM
ejpam-6351	139	1	≈	≈	PROPN
ejpam-6351	139	2	0.615	0.615	NUM
ejpam-6351	139	3	,	,	PUNCT
ejpam-6351	139	4	.	.	PUNCT
ejpam-6351	139	5	.	.	PUNCT
ejpam-6351	139	6	.	.	PUNCT
ejpam-6351	140	1	continued	continue	VERB
ejpam-6351	140	2	in	in	ADP
ejpam-6351	140	3	this	this	DET
ejpam-6351	140	4	way	way	NOUN
ejpam-6351	140	5	,	,	PUNCT
ejpam-6351	140	6	eventually	eventually	ADV
ejpam-6351	140	7	the	the	DET
ejpam-6351	140	8	ratio	ratio	NOUN
ejpam-6351	140	9	of	of	ADP
ejpam-6351	140	10	consecutive	consecutive	ADJ
ejpam-6351	140	11	fibonacci	fibonacci	NOUN
ejpam-6351	140	12	numbers	number	NOUN
ejpam-6351	140	13	reaches	reach	VERB
ejpam-6351	140	14	the	the	DET
ejpam-6351	140	15	golden	golden	ADJ
ejpam-6351	140	16	ratio	ratio	NOUN
ejpam-6351	140	17	:	:	PUNCT
ejpam-6351	141	1	lim	lim	PROPN
ejpam-6351	141	2	n→∞	n→∞	PRON
ejpam-6351	142	1	fn−1	fn−1	PROPN
ejpam-6351	142	2	fn	fn	NOUN
ejpam-6351	143	1	≈	≈	PROPN
ejpam-6351	143	2	0.61803	0.61803	NUM
ejpam-6351	143	3	.	.	PUNCT
ejpam-6351	143	4	.	.	PUNCT
ejpam-6351	144	1	.	.	PUNCT
ejpam-6351	145	1	consider	consider	VERB
ejpam-6351	145	2	an	an	DET
ejpam-6351	145	3	interval	interval	NOUN
ejpam-6351	145	4	[	[	X
ejpam-6351	145	5	xa	xa	PROPN
ejpam-6351	145	6	,	,	PUNCT
ejpam-6351	145	7	xu	xu	PROPN
ejpam-6351	145	8	]	]	X
ejpam-6351	145	9	,	,	PUNCT
ejpam-6351	145	10	where	where	SCONJ
ejpam-6351	145	11	xa	xa	PROPN
ejpam-6351	145	12	is	be	AUX
ejpam-6351	145	13	the	the	DET
ejpam-6351	145	14	lower	lower	ADV
ejpam-6351	145	15	bound	bind	VERB
ejpam-6351	145	16	and	and	CCONJ
ejpam-6351	145	17	xu	xu	PROPN
ejpam-6351	145	18	is	be	AUX
ejpam-6351	145	19	the	the	DET
ejpam-6351	145	20	upper	upper	ADJ
ejpam-6351	145	21	bound	bound	NOUN
ejpam-6351	145	22	,	,	PUNCT
ejpam-6351	145	23	and	and	CCONJ
ejpam-6351	145	24	the	the	DET
ejpam-6351	145	25	function	function	NOUN
ejpam-6351	145	26	is	be	AUX
ejpam-6351	145	27	unimodal	unimodal	ADJ
ejpam-6351	145	28	and	and	CCONJ
ejpam-6351	145	29	has	have	VERB
ejpam-6351	145	30	only	only	ADV
ejpam-6351	145	31	one	one	NUM
ejpam-6351	145	32	maximum	maximum	NOUN
ejpam-6351	145	33	.	.	PUNCT
ejpam-6351	146	1	in	in	ADP
ejpam-6351	146	2	the	the	DET
ejpam-6351	146	3	bisection	bisection	NOUN
ejpam-6351	146	4	algorithm	algorithm	NOUN
ejpam-6351	146	5	,	,	PUNCT
ejpam-6351	146	6	the	the	DET
ejpam-6351	146	7	interval	interval	NOUN
ejpam-6351	146	8	is	be	AUX
ejpam-6351	146	9	divided	divide	VERB
ejpam-6351	146	10	in	in	ADP
ejpam-6351	146	11	half	half	NOUN
ejpam-6351	146	12	,	,	PUNCT
ejpam-6351	146	13	while	while	SCONJ
ejpam-6351	146	14	the	the	DET
ejpam-6351	146	15	golden	golden	ADJ
ejpam-6351	146	16	ratio	ratio	NOUN
ejpam-6351	146	17	search	search	NOUN
ejpam-6351	146	18	divides	divide	VERB
ejpam-6351	146	19	it	it	PRON
ejpam-6351	146	20	according	accord	VERB
ejpam-6351	146	21	to	to	ADP
ejpam-6351	146	22	the	the	DET
ejpam-6351	146	23	golden	golden	ADJ
ejpam-6351	146	24	ratio	ratio	NOUN
ejpam-6351	146	25	.	.	PUNCT
ejpam-6351	147	1	this	this	DET
ejpam-6351	147	2	method	method	NOUN
ejpam-6351	147	3	requires	require	VERB
ejpam-6351	147	4	three	three	NUM
ejpam-6351	147	5	function	function	NOUN
ejpam-6351	147	6	values	value	NOUN
ejpam-6351	147	7	,	,	PUNCT
ejpam-6351	147	8	so	so	ADV
ejpam-6351	147	9	a	a	DET
ejpam-6351	147	10	third	third	ADJ
ejpam-6351	147	11	point	point	NOUN
ejpam-6351	147	12	must	must	AUX
ejpam-6351	147	13	be	be	AUX
ejpam-6351	147	14	selected	select	VERB
ejpam-6351	147	15	.	.	PUNCT
ejpam-6351	148	1	after	after	ADP
ejpam-6351	148	2	selecting	select	VERB
ejpam-6351	148	3	a	a	DET
ejpam-6351	148	4	fourth	fourth	ADJ
ejpam-6351	148	5	point	point	NOUN
ejpam-6351	148	6	,	,	PUNCT
ejpam-6351	148	7	a	a	DET
ejpam-6351	148	8	test	test	NOUN
ejpam-6351	148	9	determines	determine	VERB
ejpam-6351	148	10	if	if	SCONJ
ejpam-6351	148	11	the	the	DET
ejpam-6351	148	12	maximum	maximum	NOUN
ejpam-6351	148	13	lies	lie	VERB
ejpam-6351	148	14	between	between	ADP
ejpam-6351	148	15	the	the	DET
ejpam-6351	148	16	first	first	ADJ
ejpam-6351	148	17	three	three	NUM
ejpam-6351	148	18	or	or	CCONJ
ejpam-6351	148	19	the	the	DET
ejpam-6351	148	20	last	last	ADJ
ejpam-6351	148	21	three	three	NUM
ejpam-6351	148	22	points	point	NOUN
ejpam-6351	148	23	.	.	PUNCT
ejpam-6351	149	1	the	the	DET
ejpam-6351	149	2	advantage	advantage	NOUN
ejpam-6351	149	3	of	of	ADP
ejpam-6351	149	4	the	the	DET
ejpam-6351	149	5	golden	golden	ADJ
ejpam-6351	149	6	ratio	ratio	NOUN
ejpam-6351	149	7	search	search	NOUN
ejpam-6351	149	8	is	be	AUX
ejpam-6351	149	9	that	that	SCONJ
ejpam-6351	149	10	,	,	PUNCT
ejpam-6351	149	11	since	since	SCONJ
ejpam-6351	149	12	the	the	DET
ejpam-6351	149	13	original	original	ADJ
ejpam-6351	149	14	points	point	NOUN
ejpam-6351	149	15	x1	x1	PROPN
ejpam-6351	149	16	and	and	CCONJ
ejpam-6351	149	17	x2	x2	PROPN
ejpam-6351	149	18	are	be	AUX
ejpam-6351	149	19	selected	select	VERB
ejpam-6351	149	20	using	use	VERB
ejpam-6351	149	21	the	the	DET
ejpam-6351	149	22	golden	golden	ADJ
ejpam-6351	149	23	ratio	ratio	NOUN
ejpam-6351	149	24	,	,	PUNCT
ejpam-6351	149	25	function	function	NOUN
ejpam-6351	149	26	values	value	NOUN
ejpam-6351	149	27	do	do	AUX
ejpam-6351	149	28	n’t	not	PART
ejpam-6351	149	29	need	need	VERB
ejpam-6351	149	30	to	to	PART
ejpam-6351	149	31	be	be	AUX
ejpam-6351	149	32	recalculated	recalculate	VERB
ejpam-6351	149	33	in	in	ADP
ejpam-6351	149	34	each	each	DET
ejpam-6351	149	35	iteration	iteration	NOUN
ejpam-6351	149	36	,	,	PUNCT
ejpam-6351	149	37	and	and	CCONJ
ejpam-6351	149	38	a	a	DET
ejpam-6351	149	39	wider	wide	ADJ
ejpam-6351	149	40	range	range	NOUN
ejpam-6351	149	41	is	be	AUX
ejpam-6351	149	42	explored	explore	VERB
ejpam-6351	149	43	compared	compare	VERB
ejpam-6351	149	44	to	to	ADP
ejpam-6351	149	45	bisection	bisection	NOUN
ejpam-6351	149	46	.	.	PUNCT
ejpam-6351	150	1	besides	besides	SCONJ
ejpam-6351	150	2	the	the	DET
ejpam-6351	150	3	advantages	advantage	NOUN
ejpam-6351	150	4	,	,	PUNCT
ejpam-6351	150	5	the	the	DET
ejpam-6351	150	6	failure	failure	NOUN
ejpam-6351	150	7	of	of	ADP
ejpam-6351	150	8	this	this	DET
ejpam-6351	150	9	method	method	NOUN
ejpam-6351	150	10	is	be	AUX
ejpam-6351	150	11	that	that	SCONJ
ejpam-6351	150	12	the	the	DET
ejpam-6351	150	13	function	function	NOUN
ejpam-6351	150	14	f(x	f(x	PROPN
ejpam-6351	150	15	)	)	PUNCT
ejpam-6351	150	16	must	must	AUX
ejpam-6351	150	17	be	be	AUX
ejpam-6351	150	18	unimodal	unimodal	ADJ
ejpam-6351	150	19	.	.	PUNCT
ejpam-6351	151	1	b.	b.	PROPN
ejpam-6351	151	2	köse	köse	PROPN
ejpam-6351	151	3	,	,	PUNCT
ejpam-6351	151	4	b.	b.	PROPN
ejpam-6351	151	5	demirtürk	demirtürk	PROPN
ejpam-6351	151	6	,	,	PUNCT
ejpam-6351	151	7	ş.	ş.	PROPN
ejpam-6351	151	8	konca	konca	PROPN
ejpam-6351	151	9	/	/	SYM
ejpam-6351	151	10	eur	eur	PROPN
ejpam-6351	151	11	.	.	PUNCT
ejpam-6351	152	1	j.	j.	PROPN
ejpam-6351	152	2	pure	pure	PROPN
ejpam-6351	152	3	appl	appl	PROPN
ejpam-6351	152	4	.	.	PROPN
ejpam-6351	152	5	math	math	PROPN
ejpam-6351	152	6	,	,	PUNCT
ejpam-6351	152	7	18	18	NUM
ejpam-6351	152	8	(	(	PUNCT
ejpam-6351	152	9	3	3	NUM
ejpam-6351	152	10	)	)	PUNCT
ejpam-6351	152	11	(	(	PUNCT
ejpam-6351	152	12	2025	2025	NUM
ejpam-6351	152	13	)	)	PUNCT
ejpam-6351	152	14	,	,	PUNCT
ejpam-6351	152	15	6351	6351	NUM
ejpam-6351	152	16	7	7	NUM
ejpam-6351	152	17	of	of	ADP
ejpam-6351	152	18	22	22	NUM
ejpam-6351	152	19	let	let	VERB
ejpam-6351	152	20	the	the	DET
ejpam-6351	152	21	function	function	NOUN
ejpam-6351	152	22	y	y	PROPN
ejpam-6351	152	23	=	=	SYM
ejpam-6351	152	24	f(x	f(x	PROPN
ejpam-6351	152	25	)	)	PUNCT
ejpam-6351	152	26	be	be	AUX
ejpam-6351	152	27	continuous	continuous	ADJ
ejpam-6351	152	28	in	in	ADP
ejpam-6351	152	29	the	the	DET
ejpam-6351	152	30	interval	interval	NOUN
ejpam-6351	153	1	[	[	X
ejpam-6351	153	2	xa	xa	PROPN
ejpam-6351	153	3	,	,	PUNCT
ejpam-6351	153	4	xu	xu	PROPN
ejpam-6351	153	5	]	]	PUNCT
ejpam-6351	153	6	while	while	SCONJ
ejpam-6351	153	7	xa	xa	PROPN
ejpam-6351	153	8	is	be	AUX
ejpam-6351	153	9	the	the	DET
ejpam-6351	153	10	lower	lower	ADV
ejpam-6351	153	11	bound	bind	VERB
ejpam-6351	153	12	,	,	PUNCT
ejpam-6351	153	13	xu	xu	PROPN
ejpam-6351	153	14	is	be	AUX
ejpam-6351	153	15	the	the	DET
ejpam-6351	153	16	upper	upper	ADJ
ejpam-6351	153	17	bound	bound	NOUN
ejpam-6351	153	18	,	,	PUNCT
ejpam-6351	153	19	and	and	CCONJ
ejpam-6351	153	20	the	the	DET
ejpam-6351	153	21	points	point	NOUN
ejpam-6351	153	22	x1	x1	PROPN
ejpam-6351	153	23	and	and	CCONJ
ejpam-6351	153	24	x2	x2	PROPN
ejpam-6351	153	25	are	be	AUX
ejpam-6351	153	26	chosen	choose	VERB
ejpam-6351	153	27	according	accord	VERB
ejpam-6351	153	28	to	to	ADP
ejpam-6351	153	29	the	the	DET
ejpam-6351	153	30	golden	golden	ADJ
ejpam-6351	153	31	ratio	ratio	NOUN
ejpam-6351	153	32	rule	rule	NOUN
ejpam-6351	153	33	as	as	SCONJ
ejpam-6351	153	34	follows	follow	VERB
ejpam-6351	153	35	:	:	PUNCT
ejpam-6351	153	36	let	let	VERB
ejpam-6351	154	1	x1	x1	PROPN
ejpam-6351	154	2	=	=	PUNCT
ejpam-6351	154	3	xa	xa	PROPN
ejpam-6351	155	1	+	+	CCONJ
ejpam-6351	155	2	√	√	PROPN
ejpam-6351	155	3	5−	5−	NUM
ejpam-6351	155	4	1	1	NUM
ejpam-6351	155	5	2	2	NUM
ejpam-6351	155	6	(	(	PUNCT
ejpam-6351	155	7	xu	xu	PROPN
ejpam-6351	155	8	−	−	PROPN
ejpam-6351	155	9	xa	xa	PROPN
ejpam-6351	155	10	)	)	PUNCT
ejpam-6351	155	11	and	and	CCONJ
ejpam-6351	155	12	x2	x2	PROPN
ejpam-6351	155	13	=	=	SYM
ejpam-6351	156	1	xu	xu	PROPN
ejpam-6351	157	1	−	−	NOUN
ejpam-6351	158	1	√	√	NOUN
ejpam-6351	158	2	5−	5−	NUM
ejpam-6351	158	3	1	1	NUM
ejpam-6351	158	4	2	2	NUM
ejpam-6351	158	5	(	(	PUNCT
ejpam-6351	158	6	xu	xu	PROPN
ejpam-6351	158	7	−	−	PROPN
ejpam-6351	158	8	xa	xa	PROPN
ejpam-6351	158	9	)	)	PUNCT
ejpam-6351	158	10	.	.	PUNCT
ejpam-6351	159	1	firstly	firstly	ADV
ejpam-6351	159	2	,	,	PUNCT
ejpam-6351	159	3	calculate	calculate	NOUN
ejpam-6351	159	4	f(x1	f(x1	NOUN
ejpam-6351	159	5	)	)	PUNCT
ejpam-6351	159	6	and	and	CCONJ
ejpam-6351	159	7	f(x2	f(x2	NOUN
ejpam-6351	159	8	)	)	PUNCT
ejpam-6351	159	9	.	.	PUNCT
ejpam-6351	160	1	if	if	SCONJ
ejpam-6351	160	2	f(x1	f(x1	ADJ
ejpam-6351	160	3	)	)	PUNCT
ejpam-6351	160	4	<	<	X
ejpam-6351	160	5	f(x2	f(x2	NOUN
ejpam-6351	160	6	)	)	PUNCT
ejpam-6351	160	7	,	,	PUNCT
ejpam-6351	160	8	then	then	ADV
ejpam-6351	160	9	the	the	DET
ejpam-6351	160	10	search	search	NOUN
ejpam-6351	160	11	for	for	ADP
ejpam-6351	160	12	roots	root	NOUN
ejpam-6351	160	13	in	in	ADP
ejpam-6351	160	14	the	the	DET
ejpam-6351	160	15	interval	interval	NOUN
ejpam-6351	160	16	[	[	X
ejpam-6351	160	17	xa	xa	PROPN
ejpam-6351	160	18	,	,	PUNCT
ejpam-6351	160	19	x1	x1	PROPN
ejpam-6351	160	20	]	]	PUNCT
ejpam-6351	160	21	continues	continue	VERB
ejpam-6351	160	22	by	by	ADP
ejpam-6351	160	23	setting	set	VERB
ejpam-6351	160	24	xu	xu	PROPN
ejpam-6351	161	1	=	=	PUNCT
ejpam-6351	162	1	x1	x1	PROPN
ejpam-6351	162	2	.	.	PUNCT
ejpam-6351	163	1	if	if	SCONJ
ejpam-6351	163	2	f(x2	f(x2	NOUN
ejpam-6351	163	3	)	)	PUNCT
ejpam-6351	163	4	<	<	X
ejpam-6351	163	5	f(x1	f(x1	NOUN
ejpam-6351	163	6	)	)	PUNCT
ejpam-6351	163	7	,	,	PUNCT
ejpam-6351	163	8	then	then	ADV
ejpam-6351	163	9	the	the	DET
ejpam-6351	163	10	search	search	NOUN
ejpam-6351	163	11	in	in	ADP
ejpam-6351	163	12	[	[	X
ejpam-6351	163	13	x2	x2	PROPN
ejpam-6351	163	14	,	,	PUNCT
ejpam-6351	163	15	xu	xu	PROPN
ejpam-6351	163	16	]	]	PUNCT
ejpam-6351	163	17	continues	continue	VERB
ejpam-6351	163	18	with	with	ADP
ejpam-6351	163	19	setting	set	VERB
ejpam-6351	163	20	xa	xa	PROPN
ejpam-6351	163	21	=	=	SYM
ejpam-6351	163	22	x2	x2	PROPN
ejpam-6351	163	23	.	.	PUNCT
ejpam-6351	164	1	this	this	DET
ejpam-6351	164	2	method	method	NOUN
ejpam-6351	164	3	recalculates	recalculate	VERB
ejpam-6351	164	4	only	only	ADV
ejpam-6351	164	5	a	a	DET
ejpam-6351	164	6	fraction	fraction	NOUN
ejpam-6351	164	7	of	of	ADP
ejpam-6351	164	8	new	new	ADJ
ejpam-6351	164	9	search	search	NOUN
ejpam-6351	164	10	points	point	NOUN
ejpam-6351	164	11	by	by	ADP
ejpam-6351	164	12	reducing	reduce	VERB
ejpam-6351	164	13	the	the	DET
ejpam-6351	164	14	interval	interval	NOUN
ejpam-6351	164	15	at	at	ADP
ejpam-6351	164	16	a	a	DET
ejpam-6351	164	17	constant	constant	ADJ
ejpam-6351	164	18	rate	rate	NOUN
ejpam-6351	164	19	r	r	NOUN
ejpam-6351	164	20	=	=	PUNCT
ejpam-6351	164	21	√	√	PROPN
ejpam-6351	164	22	5−1	5−1	NUM
ejpam-6351	164	23	2	2	NUM
ejpam-6351	164	24	≈	≈	NUM
ejpam-6351	164	25	0.61803	0.61803	NUM
ejpam-6351	164	26	,	,	PUNCT
ejpam-6351	164	27	thus	thus	ADV
ejpam-6351	164	28	reducing	reduce	VERB
ejpam-6351	164	29	the	the	DET
ejpam-6351	164	30	computational	computational	ADJ
ejpam-6351	164	31	cost	cost	NOUN
ejpam-6351	164	32	.	.	PUNCT
ejpam-6351	165	1	the	the	DET
ejpam-6351	165	2	convergence	convergence	NOUN
ejpam-6351	165	3	behavior	behavior	NOUN
ejpam-6351	165	4	of	of	ADP
ejpam-6351	165	5	this	this	DET
ejpam-6351	165	6	method	method	NOUN
ejpam-6351	165	7	is	be	AUX
ejpam-6351	165	8	expressed	express	VERB
ejpam-6351	165	9	as	as	SCONJ
ejpam-6351	165	10	follows	follow	VERB
ejpam-6351	165	11	:	:	PUNCT
ejpam-6351	165	12	if	if	SCONJ
ejpam-6351	165	13	|in|	|in|	ADJ
ejpam-6351	165	14	=	=	SYM
ejpam-6351	165	15	r	r	NOUN
ejpam-6351	165	16	|in−1|	|in−1|	PROPN
ejpam-6351	165	17	,	,	PUNCT
ejpam-6351	165	18	then	then	ADV
ejpam-6351	165	19	|in|	|in|	PROPN
ejpam-6351	165	20	=	=	SYM
ejpam-6351	165	21	rn	rn	PROPN
ejpam-6351	165	22	|i0|	|i0|	PROPN
ejpam-6351	165	23	,	,	PUNCT
ejpam-6351	165	24	where	where	SCONJ
ejpam-6351	165	25	i0	i0	PROPN
ejpam-6351	165	26	is	be	AUX
ejpam-6351	165	27	the	the	DET
ejpam-6351	165	28	initial	initial	ADJ
ejpam-6351	165	29	interval	interval	NOUN
ejpam-6351	165	30	and	and	CCONJ
ejpam-6351	165	31	in	in	ADP
ejpam-6351	165	32	is	be	AUX
ejpam-6351	165	33	the	the	DET
ejpam-6351	165	34	interval	interval	NOUN
ejpam-6351	165	35	obtained	obtain	VERB
ejpam-6351	165	36	at	at	ADP
ejpam-6351	165	37	the	the	DET
ejpam-6351	165	38	n	n	CCONJ
ejpam-6351	165	39	-	-	PUNCT
ejpam-6351	165	40	th	th	VERB
ejpam-6351	165	41	iteration	iteration	NOUN
ejpam-6351	165	42	.	.	PUNCT
ejpam-6351	166	1	the	the	DET
ejpam-6351	166	2	minimum	minimum	ADJ
ejpam-6351	166	3	number	number	NOUN
ejpam-6351	166	4	of	of	ADP
ejpam-6351	166	5	iterations	iteration	NOUN
ejpam-6351	166	6	required	require	VERB
ejpam-6351	166	7	to	to	PART
ejpam-6351	166	8	reach	reach	VERB
ejpam-6351	166	9	a	a	DET
ejpam-6351	166	10	tolerance	tolerance	NOUN
ejpam-6351	166	11	ε	ε	NOUN
ejpam-6351	166	12	is	be	AUX
ejpam-6351	166	13	log	log	NOUN
ejpam-6351	166	14	(	(	PUNCT
ejpam-6351	166	15	ε/(b−	ε/(b−	PROPN
ejpam-6351	166	16	a	a	NOUN
ejpam-6351	166	17	)	)	PUNCT
ejpam-6351	166	18	)	)	PUNCT
ejpam-6351	166	19	logr	logr	VERB
ejpam-6351	166	20	≤	≤	NUM
ejpam-6351	166	21	n.	n.	NOUN
ejpam-6351	166	22	for	for	ADP
ejpam-6351	166	23	some	some	DET
ejpam-6351	166	24	functions	function	NOUN
ejpam-6351	166	25	,	,	PUNCT
ejpam-6351	166	26	the	the	DET
ejpam-6351	166	27	golden	golden	ADJ
ejpam-6351	166	28	ratio	ratio	NOUN
ejpam-6351	166	29	method	method	NOUN
ejpam-6351	166	30	can	can	AUX
ejpam-6351	166	31	achieve	achieve	VERB
ejpam-6351	166	32	similar	similar	ADJ
ejpam-6351	166	33	accuracy	accuracy	NOUN
ejpam-6351	166	34	levels	level	NOUN
ejpam-6351	166	35	with	with	ADP
ejpam-6351	166	36	fewer	few	ADJ
ejpam-6351	166	37	iterations	iteration	NOUN
ejpam-6351	166	38	compared	compare	VERB
ejpam-6351	166	39	to	to	ADP
ejpam-6351	166	40	the	the	DET
ejpam-6351	166	41	bisection	bisection	NOUN
ejpam-6351	166	42	method	method	NOUN
ejpam-6351	166	43	.	.	PUNCT
ejpam-6351	167	1	this	this	DET
ejpam-6351	167	2	method	method	NOUN
ejpam-6351	167	3	is	be	AUX
ejpam-6351	167	4	often	often	ADV
ejpam-6351	167	5	preferred	prefer	VERB
ejpam-6351	167	6	in	in	ADP
ejpam-6351	167	7	the	the	DET
ejpam-6351	167	8	optimization	optimization	NOUN
ejpam-6351	167	9	process	process	NOUN
ejpam-6351	167	10	both	both	PRON
ejpam-6351	167	11	to	to	PART
ejpam-6351	167	12	reduce	reduce	VERB
ejpam-6351	167	13	the	the	DET
ejpam-6351	167	14	number	number	NOUN
ejpam-6351	167	15	of	of	ADP
ejpam-6351	167	16	operations	operation	NOUN
ejpam-6351	167	17	and	and	CCONJ
ejpam-6351	167	18	to	to	PART
ejpam-6351	167	19	provide	provide	VERB
ejpam-6351	167	20	high	high	ADJ
ejpam-6351	167	21	accuracy	accuracy	NOUN
ejpam-6351	168	1	[	[	X
ejpam-6351	168	2	18	18	NUM
ejpam-6351	168	3	]	]	PUNCT
ejpam-6351	168	4	.	.	PUNCT
ejpam-6351	169	1	now	now	ADV
ejpam-6351	169	2	let	let	VERB
ejpam-6351	169	3	us	we	PRON
ejpam-6351	169	4	give	give	VERB
ejpam-6351	169	5	the	the	DET
ejpam-6351	169	6	flow	flow	NOUN
ejpam-6351	169	7	chart	chart	NOUN
ejpam-6351	169	8	for	for	ADP
ejpam-6351	169	9	the	the	DET
ejpam-6351	169	10	golden	golden	ADJ
ejpam-6351	169	11	ratio	ratio	NOUN
ejpam-6351	169	12	algorithm	algorithm	NOUN
ejpam-6351	169	13	in	in	ADP
ejpam-6351	169	14	figure	figure	NOUN
ejpam-6351	169	15	2	2	NUM
ejpam-6351	169	16	.	.	PUNCT
ejpam-6351	169	17	b.	b.	PROPN
ejpam-6351	169	18	köse	köse	PROPN
ejpam-6351	169	19	,	,	PUNCT
ejpam-6351	169	20	b.	b.	PROPN
ejpam-6351	169	21	demirtürk	demirtürk	PROPN
ejpam-6351	169	22	,	,	PUNCT
ejpam-6351	169	23	ş.	ş.	PROPN
ejpam-6351	169	24	konca	konca	PROPN
ejpam-6351	169	25	/	/	SYM
ejpam-6351	169	26	eur	eur	PROPN
ejpam-6351	169	27	.	.	PUNCT
ejpam-6351	170	1	j.	j.	PROPN
ejpam-6351	170	2	pure	pure	PROPN
ejpam-6351	170	3	appl	appl	PROPN
ejpam-6351	170	4	.	.	PROPN
ejpam-6351	170	5	math	math	PROPN
ejpam-6351	170	6	,	,	PUNCT
ejpam-6351	170	7	18	18	NUM
ejpam-6351	170	8	(	(	PUNCT
ejpam-6351	170	9	3	3	NUM
ejpam-6351	170	10	)	)	PUNCT
ejpam-6351	170	11	(	(	PUNCT
ejpam-6351	170	12	2025	2025	NUM
ejpam-6351	170	13	)	)	PUNCT
ejpam-6351	170	14	,	,	PUNCT
ejpam-6351	170	15	6351	6351	NUM
ejpam-6351	170	16	8	8	NUM
ejpam-6351	170	17	of	of	ADP
ejpam-6351	170	18	22	22	NUM
ejpam-6351	170	19	figure	figure	NOUN
ejpam-6351	170	20	2	2	NUM
ejpam-6351	170	21	:	:	PUNCT
ejpam-6351	170	22	the	the	DET
ejpam-6351	170	23	flowchart	flowchart	NOUN
ejpam-6351	170	24	of	of	ADP
ejpam-6351	170	25	gr	gr	PROPN
ejpam-6351	170	26	algorithm	algorithm	NOUN
ejpam-6351	170	27	for	for	ADP
ejpam-6351	170	28	more	more	ADJ
ejpam-6351	170	29	details	detail	NOUN
ejpam-6351	170	30	on	on	ADP
ejpam-6351	170	31	this	this	DET
ejpam-6351	170	32	algorithm	algorithm	NOUN
ejpam-6351	170	33	,	,	PUNCT
ejpam-6351	170	34	we	we	PRON
ejpam-6351	170	35	may	may	AUX
ejpam-6351	170	36	recommend	recommend	VERB
ejpam-6351	170	37	referring	refer	VERB
ejpam-6351	170	38	to	to	ADP
ejpam-6351	170	39	[	[	X
ejpam-6351	170	40	19	19	NUM
ejpam-6351	170	41	]	]	PUNCT
ejpam-6351	170	42	and	and	CCONJ
ejpam-6351	170	43	[	[	X
ejpam-6351	170	44	20	20	NUM
ejpam-6351	170	45	]	]	PUNCT
ejpam-6351	170	46	.	.	PUNCT
ejpam-6351	171	1	2.2.3	2.2.3	X
ejpam-6351	171	2	.	.	PUNCT
ejpam-6351	171	3	fibonacci	fibonacci	NOUN
ejpam-6351	171	4	search	search	NOUN
ejpam-6351	171	5	algorithm	algorithm	NOUN
ejpam-6351	171	6	(	(	PUNCT
ejpam-6351	171	7	fib	fib	NOUN
ejpam-6351	171	8	)	)	PUNCT
ejpam-6351	171	9	although	although	SCONJ
ejpam-6351	171	10	the	the	DET
ejpam-6351	171	11	fibonacci	fibonacci	NOUN
ejpam-6351	171	12	search	search	NOUN
ejpam-6351	171	13	method	method	NOUN
ejpam-6351	171	14	is	be	AUX
ejpam-6351	171	15	structurally	structurally	ADV
ejpam-6351	171	16	similar	similar	ADJ
ejpam-6351	171	17	to	to	ADP
ejpam-6351	171	18	the	the	DET
ejpam-6351	171	19	golden	golden	ADJ
ejpam-6351	171	20	section	section	NOUN
ejpam-6351	171	21	,	,	PUNCT
ejpam-6351	171	22	it	it	PRON
ejpam-6351	171	23	determines	determine	VERB
ejpam-6351	171	24	the	the	DET
ejpam-6351	171	25	number	number	NOUN
ejpam-6351	171	26	of	of	ADP
ejpam-6351	171	27	iterations	iteration	NOUN
ejpam-6351	171	28	from	from	ADP
ejpam-6351	171	29	the	the	DET
ejpam-6351	171	30	beginning	beginning	NOUN
ejpam-6351	171	31	and	and	CCONJ
ejpam-6351	171	32	ensures	ensure	VERB
ejpam-6351	171	33	that	that	SCONJ
ejpam-6351	171	34	the	the	DET
ejpam-6351	171	35	algorithm	algorithm	NOUN
ejpam-6351	171	36	is	be	AUX
ejpam-6351	171	37	completed	complete	VERB
ejpam-6351	171	38	in	in	ADP
ejpam-6351	171	39	a	a	DET
ejpam-6351	171	40	certain	certain	ADJ
ejpam-6351	171	41	number	number	NOUN
ejpam-6351	171	42	of	of	ADP
ejpam-6351	171	43	steps	step	NOUN
ejpam-6351	171	44	.	.	PUNCT
ejpam-6351	172	1	at	at	ADP
ejpam-6351	172	2	each	each	DET
ejpam-6351	172	3	iteration	iteration	NOUN
ejpam-6351	172	4	,	,	PUNCT
ejpam-6351	172	5	the	the	DET
ejpam-6351	172	6	range	range	NOUN
ejpam-6351	172	7	is	be	AUX
ejpam-6351	172	8	narrowed	narrow	VERB
ejpam-6351	172	9	by	by	ADP
ejpam-6351	172	10	fibonacci	fibonacci	NOUN
ejpam-6351	172	11	numbers	number	NOUN
ejpam-6351	172	12	.	.	PUNCT
ejpam-6351	173	1	this	this	DET
ejpam-6351	173	2	approach	approach	NOUN
ejpam-6351	173	3	offers	offer	VERB
ejpam-6351	173	4	high	high	ADJ
ejpam-6351	173	5	precision	precision	NOUN
ejpam-6351	173	6	in	in	ADP
ejpam-6351	173	7	finite	finite	ADJ
ejpam-6351	173	8	iterations	iteration	NOUN
ejpam-6351	173	9	.	.	PUNCT
ejpam-6351	174	1	the	the	DET
ejpam-6351	174	2	interval	interval	NOUN
ejpam-6351	174	3	minimization	minimization	NOUN
ejpam-6351	174	4	rate	rate	NOUN
ejpam-6351	174	5	is	be	AUX
ejpam-6351	174	6	∣∣in∣∣	∣∣in∣∣	PROPN
ejpam-6351	174	7	=	=	SYM
ejpam-6351	174	8	fn−k	fn−k	PROPN
ejpam-6351	174	9	fn	fn	PROPN
ejpam-6351	174	10	∣∣i0∣∣	∣∣i0∣∣	NOUN
ejpam-6351	174	11	,	,	PUNCT
ejpam-6351	174	12	where	where	SCONJ
ejpam-6351	174	13	i0	i0	PROPN
ejpam-6351	174	14	is	be	AUX
ejpam-6351	174	15	the	the	DET
ejpam-6351	174	16	initial	initial	ADJ
ejpam-6351	174	17	interval	interval	NOUN
ejpam-6351	174	18	,	,	PUNCT
ejpam-6351	174	19	in	in	ADP
ejpam-6351	174	20	is	be	AUX
ejpam-6351	174	21	the	the	DET
ejpam-6351	174	22	interval	interval	NOUN
ejpam-6351	174	23	obtained	obtain	VERB
ejpam-6351	174	24	at	at	ADP
ejpam-6351	174	25	the	the	DET
ejpam-6351	174	26	n	n	CCONJ
ejpam-6351	174	27	-	-	PUNCT
ejpam-6351	174	28	th	th	VERB
ejpam-6351	174	29	iteration	iteration	NOUN
ejpam-6351	174	30	and	and	CCONJ
ejpam-6351	174	31	fn	fn	NOUN
ejpam-6351	174	32	is	be	AUX
ejpam-6351	174	33	the	the	DET
ejpam-6351	174	34	n	n	CCONJ
ejpam-6351	174	35	-	-	PUNCT
ejpam-6351	174	36	th	th	VERB
ejpam-6351	174	37	fibonacci	fibonacci	NOUN
ejpam-6351	174	38	number	number	NOUN
ejpam-6351	174	39	.	.	PUNCT
ejpam-6351	175	1	moreover	moreover	ADV
ejpam-6351	175	2	,	,	PUNCT
ejpam-6351	175	3	the	the	DET
ejpam-6351	175	4	minimum	minimum	ADJ
ejpam-6351	175	5	fibonacci	fibonacci	NOUN
ejpam-6351	175	6	term	term	NOUN
ejpam-6351	175	7	fn	fn	PROPN
ejpam-6351	175	8	required	require	VERB
ejpam-6351	175	9	for	for	ADP
ejpam-6351	175	10	the	the	DET
ejpam-6351	175	11	desired	desire	VERB
ejpam-6351	175	12	margin	margin	NOUN
ejpam-6351	175	13	of	of	ADP
ejpam-6351	175	14	error	error	NOUN
ejpam-6351	175	15	ε	ε	PROPN
ejpam-6351	175	16	is	be	AUX
ejpam-6351	175	17	found	find	VERB
ejpam-6351	175	18	from	from	ADP
ejpam-6351	175	19	the	the	DET
ejpam-6351	175	20	equality	equality	NOUN
ejpam-6351	176	1	b−	b−	PROPN
ejpam-6351	176	2	a	a	DET
ejpam-6351	176	3	ε	ε	PROPN
ejpam-6351	176	4	≤	≤	PROPN
ejpam-6351	176	5	fn	fn	NOUN
ejpam-6351	176	6	.	.	PUNCT
ejpam-6351	177	1	since	since	SCONJ
ejpam-6351	177	2	fibonacci	fibonacci	NOUN
ejpam-6351	177	3	numbers	number	NOUN
ejpam-6351	177	4	need	need	VERB
ejpam-6351	177	5	to	to	PART
ejpam-6351	177	6	be	be	AUX
ejpam-6351	177	7	calculated	calculate	VERB
ejpam-6351	177	8	in	in	ADP
ejpam-6351	177	9	each	each	DET
ejpam-6351	177	10	iteration	iteration	NOUN
ejpam-6351	177	11	,	,	PUNCT
ejpam-6351	177	12	this	this	DET
ejpam-6351	177	13	method	method	NOUN
ejpam-6351	177	14	requires	require	VERB
ejpam-6351	177	15	more	more	ADJ
ejpam-6351	177	16	preparation	preparation	NOUN
ejpam-6351	177	17	in	in	ADP
ejpam-6351	177	18	terms	term	NOUN
ejpam-6351	177	19	of	of	ADP
ejpam-6351	177	20	applicability	applicability	NOUN
ejpam-6351	177	21	.	.	PUNCT
ejpam-6351	178	1	besides	besides	SCONJ
ejpam-6351	178	2	the	the	DET
ejpam-6351	178	3	advantages	advantage	NOUN
ejpam-6351	178	4	,	,	PUNCT
ejpam-6351	178	5	the	the	DET
ejpam-6351	178	6	failure	failure	NOUN
ejpam-6351	178	7	of	of	ADP
ejpam-6351	178	8	this	this	DET
ejpam-6351	178	9	method	method	NOUN
ejpam-6351	178	10	is	be	AUX
ejpam-6351	178	11	that	that	SCONJ
ejpam-6351	178	12	the	the	DET
ejpam-6351	178	13	function	function	NOUN
ejpam-6351	178	14	f(x	f(x	PROPN
ejpam-6351	178	15	)	)	PUNCT
ejpam-6351	178	16	must	must	AUX
ejpam-6351	178	17	be	be	AUX
ejpam-6351	178	18	unimodal	unimodal	ADJ
ejpam-6351	178	19	and	and	CCONJ
ejpam-6351	178	20	continuous	continuous	ADJ
ejpam-6351	178	21	.	.	PUNCT
ejpam-6351	179	1	b.	b.	PROPN
ejpam-6351	179	2	köse	köse	PROPN
ejpam-6351	179	3	,	,	PUNCT
ejpam-6351	179	4	b.	b.	PROPN
ejpam-6351	179	5	demirtürk	demirtürk	PROPN
ejpam-6351	179	6	,	,	PUNCT
ejpam-6351	179	7	ş.	ş.	PROPN
ejpam-6351	179	8	konca	konca	PROPN
ejpam-6351	179	9	/	/	SYM
ejpam-6351	179	10	eur	eur	PROPN
ejpam-6351	179	11	.	.	PUNCT
ejpam-6351	180	1	j.	j.	PROPN
ejpam-6351	180	2	pure	pure	PROPN
ejpam-6351	180	3	appl	appl	PROPN
ejpam-6351	180	4	.	.	PROPN
ejpam-6351	180	5	math	math	PROPN
ejpam-6351	180	6	,	,	PUNCT
ejpam-6351	180	7	18	18	NUM
ejpam-6351	180	8	(	(	PUNCT
ejpam-6351	180	9	3	3	NUM
ejpam-6351	180	10	)	)	PUNCT
ejpam-6351	180	11	(	(	PUNCT
ejpam-6351	180	12	2025	2025	NUM
ejpam-6351	180	13	)	)	PUNCT
ejpam-6351	180	14	,	,	PUNCT
ejpam-6351	180	15	6351	6351	NUM
ejpam-6351	180	16	9	9	NUM
ejpam-6351	180	17	of	of	ADP
ejpam-6351	180	18	22	22	NUM
ejpam-6351	180	19	let	let	VERB
ejpam-6351	180	20	us	we	PRON
ejpam-6351	180	21	give	give	VERB
ejpam-6351	180	22	the	the	DET
ejpam-6351	180	23	flowchart	flowchart	NOUN
ejpam-6351	180	24	of	of	ADP
ejpam-6351	180	25	the	the	DET
ejpam-6351	180	26	fibonacci	fibonacci	NOUN
ejpam-6351	180	27	search	search	NOUN
ejpam-6351	180	28	algorithm	algorithm	NOUN
ejpam-6351	180	29	below	below	ADV
ejpam-6351	180	30	.	.	PUNCT
ejpam-6351	181	1	figure	figure	VERB
ejpam-6351	181	2	3	3	NUM
ejpam-6351	181	3	:	:	PUNCT
ejpam-6351	181	4	fib	fib	ADJ
ejpam-6351	181	5	algorithm	algorithm	NOUN
ejpam-6351	181	6	flow	flow	NOUN
ejpam-6351	181	7	chart	chart	NOUN
ejpam-6351	181	8	for	for	ADP
ejpam-6351	181	9	further	further	ADJ
ejpam-6351	181	10	information	information	NOUN
ejpam-6351	181	11	on	on	ADP
ejpam-6351	181	12	this	this	DET
ejpam-6351	181	13	algorithm	algorithm	NOUN
ejpam-6351	181	14	,	,	PUNCT
ejpam-6351	181	15	we	we	PRON
ejpam-6351	181	16	recommend	recommend	VERB
ejpam-6351	181	17	referring	refer	VERB
ejpam-6351	181	18	to	to	ADP
ejpam-6351	181	19	[	[	X
ejpam-6351	181	20	18	18	NUM
ejpam-6351	181	21	,	,	PUNCT
ejpam-6351	181	22	21	21	NUM
ejpam-6351	181	23	]	]	PUNCT
ejpam-6351	181	24	.	.	PUNCT
ejpam-6351	182	1	3	3	X
ejpam-6351	182	2	.	.	X
ejpam-6351	182	3	performance	performance	NOUN
ejpam-6351	182	4	criteria	criterion	NOUN
ejpam-6351	182	5	and	and	CCONJ
ejpam-6351	182	6	results	result	VERB
ejpam-6351	182	7	3.1	3.1	NUM
ejpam-6351	182	8	.	.	PUNCT
ejpam-6351	182	9	test	test	NOUN
ejpam-6351	182	10	functions	function	NOUN
ejpam-6351	182	11	and	and	CCONJ
ejpam-6351	182	12	related	related	ADJ
ejpam-6351	182	13	graphics	graphic	NOUN
ejpam-6351	182	14	in	in	ADP
ejpam-6351	182	15	the	the	DET
ejpam-6351	182	16	comparative	comparative	ADJ
ejpam-6351	182	17	analysis	analysis	NOUN
ejpam-6351	182	18	to	to	PART
ejpam-6351	182	19	evaluate	evaluate	VERB
ejpam-6351	182	20	the	the	DET
ejpam-6351	182	21	performance	performance	NOUN
ejpam-6351	182	22	of	of	ADP
ejpam-6351	182	23	the	the	DET
ejpam-6351	182	24	algorithms	algorithm	NOUN
ejpam-6351	182	25	used	use	VERB
ejpam-6351	182	26	to	to	PART
ejpam-6351	182	27	find	find	VERB
ejpam-6351	182	28	the	the	DET
ejpam-6351	182	29	roots	root	NOUN
ejpam-6351	182	30	of	of	ADP
ejpam-6351	182	31	the	the	DET
ejpam-6351	182	32	four	four	NUM
ejpam-6351	182	33	different	different	ADJ
ejpam-6351	182	34	types	type	NOUN
ejpam-6351	182	35	of	of	ADP
ejpam-6351	182	36	functions	function	NOUN
ejpam-6351	182	37	considered	consider	VERB
ejpam-6351	182	38	in	in	ADP
ejpam-6351	182	39	this	this	DET
ejpam-6351	182	40	study	study	NOUN
ejpam-6351	182	41	,	,	PUNCT
ejpam-6351	182	42	we	we	PRON
ejpam-6351	182	43	took	take	VERB
ejpam-6351	182	44	into	into	ADP
ejpam-6351	182	45	account	account	NOUN
ejpam-6351	182	46	both	both	DET
ejpam-6351	182	47	the	the	DET
ejpam-6351	182	48	achievement	achievement	NOUN
ejpam-6351	182	49	of	of	ADP
ejpam-6351	182	50	the	the	DET
ejpam-6351	182	51	result	result	NOUN
ejpam-6351	182	52	and	and	CCONJ
ejpam-6351	182	53	the	the	DET
ejpam-6351	182	54	behavior	behavior	NOUN
ejpam-6351	182	55	of	of	ADP
ejpam-6351	182	56	the	the	DET
ejpam-6351	182	57	algorithms	algorithm	NOUN
ejpam-6351	182	58	and	and	CCONJ
ejpam-6351	182	59	their	their	PRON
ejpam-6351	182	60	responses	response	NOUN
ejpam-6351	182	61	to	to	ADP
ejpam-6351	182	62	the	the	DET
ejpam-6351	182	63	conditions	condition	NOUN
ejpam-6351	182	64	.	.	PUNCT
ejpam-6351	183	1	therefore	therefore	ADV
ejpam-6351	183	2	,	,	PUNCT
ejpam-6351	183	3	firstly	firstly	ADV
ejpam-6351	183	4	,	,	PUNCT
ejpam-6351	183	5	the	the	DET
ejpam-6351	183	6	number	number	NOUN
ejpam-6351	183	7	of	of	ADP
ejpam-6351	183	8	roots	root	NOUN
ejpam-6351	183	9	and	and	CCONJ
ejpam-6351	183	10	the	the	DET
ejpam-6351	183	11	sensitivity	sensitivity	NOUN
ejpam-6351	183	12	to	to	ADP
ejpam-6351	183	13	the	the	DET
ejpam-6351	183	14	root	root	NOUN
ejpam-6351	183	15	location	location	NOUN
ejpam-6351	183	16	are	be	AUX
ejpam-6351	183	17	evaluated	evaluate	VERB
ejpam-6351	183	18	by	by	ADP
ejpam-6351	183	19	analyzing	analyze	VERB
ejpam-6351	183	20	which	which	PRON
ejpam-6351	183	21	root	root	VERB
ejpam-6351	183	22	different	different	ADJ
ejpam-6351	183	23	algorithms	algorithm	NOUN
ejpam-6351	183	24	converge	converge	VERB
ejpam-6351	183	25	to	to	ADP
ejpam-6351	183	26	on	on	ADP
ejpam-6351	183	27	the	the	DET
ejpam-6351	183	28	same	same	ADJ
ejpam-6351	183	29	function	function	NOUN
ejpam-6351	183	30	.	.	PUNCT
ejpam-6351	184	1	in	in	ADP
ejpam-6351	184	2	addition	addition	NOUN
ejpam-6351	184	3	,	,	PUNCT
ejpam-6351	184	4	the	the	DET
ejpam-6351	184	5	number	number	NOUN
ejpam-6351	184	6	of	of	ADP
ejpam-6351	184	7	iterations	iteration	NOUN
ejpam-6351	184	8	required	require	VERB
ejpam-6351	184	9	for	for	ADP
ejpam-6351	184	10	the	the	DET
ejpam-6351	184	11	algorithms	algorithm	NOUN
ejpam-6351	184	12	to	to	PART
ejpam-6351	184	13	reach	reach	VERB
ejpam-6351	184	14	a	a	DET
ejpam-6351	184	15	certain	certain	ADJ
ejpam-6351	184	16	error	error	NOUN
ejpam-6351	184	17	tolerance	tolerance	NOUN
ejpam-6351	184	18	and	and	CCONJ
ejpam-6351	184	19	their	their	PRON
ejpam-6351	184	20	convergence	convergence	NOUN
ejpam-6351	184	21	speed	speed	NOUN
ejpam-6351	184	22	are	be	AUX
ejpam-6351	184	23	analyzed	analyze	VERB
ejpam-6351	184	24	comparatively	comparatively	ADV
ejpam-6351	184	25	.	.	PUNCT
ejpam-6351	185	1	the	the	DET
ejpam-6351	185	2	distances	distance	NOUN
ejpam-6351	185	3	of	of	ADP
ejpam-6351	185	4	the	the	DET
ejpam-6351	185	5	obtained	obtain	VERB
ejpam-6351	185	6	roots	root	NOUN
ejpam-6351	185	7	from	from	ADP
ejpam-6351	185	8	the	the	DET
ejpam-6351	185	9	true	true	ADJ
ejpam-6351	185	10	root	root	NOUN
ejpam-6351	185	11	,	,	PUNCT
ejpam-6351	185	12	i.e.	i.e.	X
ejpam-6351	185	13	the	the	DET
ejpam-6351	185	14	approximation	approximation	NOUN
ejpam-6351	185	15	errors	error	NOUN
ejpam-6351	185	16	,	,	PUNCT
ejpam-6351	185	17	are	be	AUX
ejpam-6351	185	18	important	important	ADJ
ejpam-6351	185	19	because	because	SCONJ
ejpam-6351	185	20	they	they	PRON
ejpam-6351	185	21	reveal	reveal	VERB
ejpam-6351	185	22	the	the	DET
ejpam-6351	185	23	accuracy	accuracy	NOUN
ejpam-6351	185	24	of	of	ADP
ejpam-6351	185	25	the	the	DET
ejpam-6351	185	26	methods	method	NOUN
ejpam-6351	185	27	.	.	PUNCT
ejpam-6351	186	1	furthermore	furthermore	ADV
ejpam-6351	186	2	,	,	PUNCT
ejpam-6351	186	3	the	the	DET
ejpam-6351	186	4	sensitivity	sensitivity	NOUN
ejpam-6351	186	5	to	to	ADP
ejpam-6351	186	6	initial	initial	ADJ
ejpam-6351	186	7	conditions	condition	NOUN
ejpam-6351	186	8	was	be	AUX
ejpam-6351	186	9	measured	measure	VERB
ejpam-6351	186	10	by	by	ADP
ejpam-6351	186	11	testing	test	VERB
ejpam-6351	186	12	how	how	SCONJ
ejpam-6351	186	13	small	small	ADJ
ejpam-6351	186	14	changes	change	NOUN
ejpam-6351	186	15	to	to	ADP
ejpam-6351	186	16	the	the	DET
ejpam-6351	186	17	initial	initial	ADJ
ejpam-6351	186	18	interval	interval	NOUN
ejpam-6351	186	19	affect	affect	VERB
ejpam-6351	186	20	the	the	DET
ejpam-6351	186	21	algorithm	algorithm	NOUN
ejpam-6351	186	22	’s	’s	PART
ejpam-6351	186	23	result	result	NOUN
ejpam-6351	186	24	.	.	PUNCT
ejpam-6351	187	1	in	in	ADP
ejpam-6351	187	2	addition	addition	NOUN
ejpam-6351	187	3	,	,	PUNCT
ejpam-6351	187	4	in	in	ADP
ejpam-6351	187	5	future	future	ADJ
ejpam-6351	187	6	studies	study	NOUN
ejpam-6351	187	7	,	,	PUNCT
ejpam-6351	187	8	different	different	ADJ
ejpam-6351	187	9	types	type	NOUN
ejpam-6351	187	10	of	of	ADP
ejpam-6351	187	11	functions	function	NOUN
ejpam-6351	187	12	can	can	AUX
ejpam-6351	187	13	be	be	AUX
ejpam-6351	187	14	used	use	VERB
ejpam-6351	187	15	to	to	PART
ejpam-6351	187	16	analyze	analyze	VERB
ejpam-6351	187	17	the	the	DET
ejpam-6351	187	18	response	response	NOUN
ejpam-6351	187	19	of	of	ADP
ejpam-6351	187	20	algorithms	algorithm	NOUN
ejpam-6351	187	21	to	to	ADP
ejpam-6351	187	22	the	the	DET
ejpam-6351	187	23	functional	functional	ADJ
ejpam-6351	187	24	structure	structure	NOUN
ejpam-6351	187	25	.	.	PUNCT
ejpam-6351	188	1	such	such	ADJ
ejpam-6351	188	2	analyzes	analyze	NOUN
ejpam-6351	188	3	b.	b.	PROPN
ejpam-6351	188	4	köse	köse	PROPN
ejpam-6351	188	5	,	,	PUNCT
ejpam-6351	188	6	b.	b.	PROPN
ejpam-6351	188	7	demirtürk	demirtürk	PROPN
ejpam-6351	188	8	,	,	PUNCT
ejpam-6351	188	9	ş.	ş.	PROPN
ejpam-6351	188	10	konca	konca	PROPN
ejpam-6351	188	11	/	/	SYM
ejpam-6351	188	12	eur	eur	PROPN
ejpam-6351	188	13	.	.	PUNCT
ejpam-6351	189	1	j.	j.	PROPN
ejpam-6351	189	2	pure	pure	PROPN
ejpam-6351	189	3	appl	appl	PROPN
ejpam-6351	189	4	.	.	PROPN
ejpam-6351	189	5	math	math	PROPN
ejpam-6351	189	6	,	,	PUNCT
ejpam-6351	189	7	18	18	NUM
ejpam-6351	189	8	(	(	PUNCT
ejpam-6351	189	9	3	3	NUM
ejpam-6351	189	10	)	)	PUNCT
ejpam-6351	189	11	(	(	PUNCT
ejpam-6351	189	12	2025	2025	NUM
ejpam-6351	189	13	)	)	PUNCT
ejpam-6351	189	14	,	,	PUNCT
ejpam-6351	189	15	6351	6351	NUM
ejpam-6351	189	16	10	10	NUM
ejpam-6351	189	17	of	of	ADP
ejpam-6351	189	18	22	22	NUM
ejpam-6351	189	19	will	will	AUX
ejpam-6351	189	20	reveal	reveal	VERB
ejpam-6351	189	21	both	both	CCONJ
ejpam-6351	189	22	the	the	DET
ejpam-6351	189	23	success	success	NOUN
ejpam-6351	189	24	rates	rate	NOUN
ejpam-6351	189	25	of	of	ADP
ejpam-6351	189	26	the	the	DET
ejpam-6351	189	27	algorithms	algorithm	NOUN
ejpam-6351	189	28	and	and	CCONJ
ejpam-6351	189	29	the	the	DET
ejpam-6351	189	30	types	type	NOUN
ejpam-6351	189	31	of	of	ADP
ejpam-6351	189	32	problem	problem	NOUN
ejpam-6351	189	33	for	for	ADP
ejpam-6351	189	34	which	which	PRON
ejpam-6351	189	35	they	they	PRON
ejpam-6351	189	36	are	be	AUX
ejpam-6351	189	37	more	more	ADV
ejpam-6351	189	38	suitable	suitable	ADJ
ejpam-6351	189	39	.	.	PUNCT
ejpam-6351	190	1	in	in	ADP
ejpam-6351	190	2	this	this	DET
ejpam-6351	190	3	study	study	NOUN
ejpam-6351	190	4	four	four	NUM
ejpam-6351	190	5	univariate	univariate	ADJ
ejpam-6351	190	6	and	and	CCONJ
ejpam-6351	190	7	nonlinear	nonlinear	ADJ
ejpam-6351	190	8	functions	function	NOUN
ejpam-6351	190	9	are	be	AUX
ejpam-6351	190	10	tested	test	VERB
ejpam-6351	190	11	using	use	VERB
ejpam-6351	190	12	the	the	DET
ejpam-6351	190	13	bm	bm	PROPN
ejpam-6351	190	14	,	,	PUNCT
ejpam-6351	190	15	gr	gr	PRON
ejpam-6351	190	16	and	and	CCONJ
ejpam-6351	190	17	fib	fib	VERB
ejpam-6351	190	18	search	search	NOUN
ejpam-6351	190	19	algorithms	algorithm	NOUN
ejpam-6351	190	20	to	to	PART
ejpam-6351	190	21	find	find	VERB
ejpam-6351	190	22	their	their	PRON
ejpam-6351	190	23	roots	root	NOUN
ejpam-6351	190	24	.	.	PUNCT
ejpam-6351	191	1	the	the	DET
ejpam-6351	191	2	test	test	NOUN
ejpam-6351	191	3	functions	function	NOUN
ejpam-6351	191	4	were	be	AUX
ejpam-6351	191	5	evaluated	evaluate	VERB
ejpam-6351	191	6	over	over	ADP
ejpam-6351	191	7	the	the	DET
ejpam-6351	191	8	specified	specify	VERB
ejpam-6351	191	9	intervals	interval	NOUN
ejpam-6351	191	10	as	as	SCONJ
ejpam-6351	191	11	follows	follow	VERB
ejpam-6351	191	12	:	:	PUNCT
ejpam-6351	192	1	f1	f1	NOUN
ejpam-6351	192	2	=	=	SYM
ejpam-6351	192	3	log(x2	log(x2	NOUN
ejpam-6351	192	4	+	+	CCONJ
ejpam-6351	192	5	1	1	X
ejpam-6351	192	6	)	)	PUNCT
ejpam-6351	192	7	+	+	NUM
ejpam-6351	192	8	sin(x−	sin(x−	X
ejpam-6351	192	9	1	1	NUM
ejpam-6351	192	10	)	)	PUNCT
ejpam-6351	192	11	,	,	PUNCT
ejpam-6351	193	1	[	[	X
ejpam-6351	193	2	−2.5	−2.5	PROPN
ejpam-6351	193	3	,	,	PUNCT
ejpam-6351	193	4	2.5	2.5	NUM
ejpam-6351	193	5	]	]	PUNCT
ejpam-6351	193	6	f2	f2	PROPN
ejpam-6351	193	7	=	=	PUNCT
ejpam-6351	193	8	sin(x)−	sin(x)−	PROPN
ejpam-6351	193	9	x2/8	x2/8	PROPN
ejpam-6351	193	10	,	,	PUNCT
ejpam-6351	193	11	[	[	X
ejpam-6351	193	12	−4.5	−4.5	PROPN
ejpam-6351	193	13	,	,	PUNCT
ejpam-6351	193	14	4.5	4.5	NUM
ejpam-6351	193	15	]	]	PUNCT
ejpam-6351	193	16	f3	f3	PROPN
ejpam-6351	193	17	=	=	SYM
ejpam-6351	193	18	e−x	e−x	PROPN
ejpam-6351	193	19	−	−	PROPN
ejpam-6351	193	20	x	x	SYM
ejpam-6351	193	21	,	,	PUNCT
ejpam-6351	193	22	[	[	X
ejpam-6351	193	23	−2.5	−2.5	PROPN
ejpam-6351	193	24	,	,	PUNCT
ejpam-6351	193	25	2.5	2.5	NUM
ejpam-6351	193	26	]	]	PUNCT
ejpam-6351	193	27	f4	f4	PROPN
ejpam-6351	193	28	=	=	SYM
ejpam-6351	193	29	x3	x3	NOUN
ejpam-6351	193	30	−	−	NOUN
ejpam-6351	194	1	13x+	13x+	NUM
ejpam-6351	194	2	12	12	NUM
ejpam-6351	194	3	,	,	PUNCT
ejpam-6351	194	4	[	[	X
ejpam-6351	194	5	−4.5	−4.5	PROPN
ejpam-6351	194	6	,	,	PUNCT
ejpam-6351	194	7	4.5	4.5	NUM
ejpam-6351	194	8	]	]	PUNCT
ejpam-6351	194	9	here	here	ADV
ejpam-6351	194	10	we	we	PRON
ejpam-6351	194	11	can	can	AUX
ejpam-6351	194	12	explain	explain	VERB
ejpam-6351	194	13	what	what	PRON
ejpam-6351	194	14	we	we	PRON
ejpam-6351	194	15	considered	consider	VERB
ejpam-6351	194	16	when	when	SCONJ
ejpam-6351	194	17	choosing	choose	VERB
ejpam-6351	194	18	these	these	DET
ejpam-6351	194	19	four	four	NUM
ejpam-6351	194	20	functions	function	NOUN
ejpam-6351	194	21	.	.	PUNCT
ejpam-6351	195	1	the	the	DET
ejpam-6351	195	2	function	function	NOUN
ejpam-6351	195	3	f1	f1	NOUN
ejpam-6351	195	4	consists	consist	VERB
ejpam-6351	195	5	of	of	ADP
ejpam-6351	195	6	both	both	CCONJ
ejpam-6351	195	7	a	a	DET
ejpam-6351	195	8	logarithmic	logarithmic	NOUN
ejpam-6351	195	9	and	and	CCONJ
ejpam-6351	195	10	a	a	DET
ejpam-6351	195	11	periodic	periodic	ADJ
ejpam-6351	195	12	function	function	NOUN
ejpam-6351	195	13	and	and	CCONJ
ejpam-6351	195	14	contains	contain	VERB
ejpam-6351	195	15	two	two	NUM
ejpam-6351	195	16	roots	root	NOUN
ejpam-6351	195	17	.	.	PUNCT
ejpam-6351	196	1	this	this	DET
ejpam-6351	196	2	function	function	NOUN
ejpam-6351	196	3	is	be	AUX
ejpam-6351	196	4	considered	consider	VERB
ejpam-6351	196	5	to	to	PART
ejpam-6351	196	6	compare	compare	VERB
ejpam-6351	196	7	the	the	DET
ejpam-6351	196	8	convergence	convergence	NOUN
ejpam-6351	196	9	speed	speed	NOUN
ejpam-6351	196	10	of	of	ADP
ejpam-6351	196	11	the	the	DET
ejpam-6351	196	12	algorithms	algorithm	NOUN
ejpam-6351	196	13	in	in	ADP
ejpam-6351	196	14	particular	particular	ADJ
ejpam-6351	196	15	gr	gr	NOUN
ejpam-6351	196	16	and	and	CCONJ
ejpam-6351	196	17	fib	fib	ADJ
ejpam-6351	196	18	algorithms	algorithm	NOUN
ejpam-6351	196	19	.	.	PUNCT
ejpam-6351	197	1	the	the	DET
ejpam-6351	197	2	function	function	NOUN
ejpam-6351	197	3	f2	f2	PROPN
ejpam-6351	197	4	contains	contain	VERB
ejpam-6351	197	5	both	both	DET
ejpam-6351	197	6	periodic	periodic	ADJ
ejpam-6351	197	7	and	and	CCONJ
ejpam-6351	197	8	linear	linear	ADJ
ejpam-6351	197	9	components	component	NOUN
ejpam-6351	197	10	and	and	CCONJ
ejpam-6351	197	11	has	have	VERB
ejpam-6351	197	12	more	more	ADJ
ejpam-6351	197	13	than	than	ADP
ejpam-6351	197	14	one	one	NUM
ejpam-6351	197	15	root	root	NOUN
ejpam-6351	197	16	.	.	PUNCT
ejpam-6351	198	1	the	the	DET
ejpam-6351	198	2	aim	aim	NOUN
ejpam-6351	198	3	is	be	AUX
ejpam-6351	198	4	to	to	PART
ejpam-6351	198	5	analyze	analyze	VERB
ejpam-6351	198	6	which	which	PRON
ejpam-6351	198	7	root	root	VERB
ejpam-6351	198	8	the	the	DET
ejpam-6351	198	9	algorithms	algorithm	NOUN
ejpam-6351	198	10	tend	tend	VERB
ejpam-6351	198	11	towards	towards	ADP
ejpam-6351	198	12	in	in	ADP
ejpam-6351	198	13	the	the	DET
ejpam-6351	198	14	selection	selection	NOUN
ejpam-6351	198	15	of	of	ADP
ejpam-6351	198	16	this	this	DET
ejpam-6351	198	17	function	function	NOUN
ejpam-6351	198	18	.	.	PUNCT
ejpam-6351	199	1	the	the	DET
ejpam-6351	199	2	reason	reason	NOUN
ejpam-6351	199	3	for	for	ADP
ejpam-6351	199	4	choosing	choose	VERB
ejpam-6351	199	5	the	the	DET
ejpam-6351	199	6	function	function	NOUN
ejpam-6351	199	7	f3	f3	NOUN
ejpam-6351	199	8	to	to	PART
ejpam-6351	199	9	contain	contain	VERB
ejpam-6351	199	10	exponential	exponential	ADJ
ejpam-6351	199	11	and	and	CCONJ
ejpam-6351	199	12	polynomial	polynomial	ADJ
ejpam-6351	199	13	expressions	expression	NOUN
ejpam-6351	199	14	is	be	AUX
ejpam-6351	199	15	the	the	DET
ejpam-6351	199	16	idea	idea	NOUN
ejpam-6351	199	17	that	that	SCONJ
ejpam-6351	199	18	this	this	DET
ejpam-6351	199	19	function	function	NOUN
ejpam-6351	199	20	contains	contain	VERB
ejpam-6351	199	21	both	both	DET
ejpam-6351	199	22	fast	fast	ADV
ejpam-6351	199	23	-	-	PUNCT
ejpam-6351	199	24	changing	change	VERB
ejpam-6351	199	25	and	and	CCONJ
ejpam-6351	199	26	constant	constant	ADV
ejpam-6351	199	27	-	-	PUNCT
ejpam-6351	199	28	behaving	behave	VERB
ejpam-6351	199	29	terms	term	NOUN
ejpam-6351	199	30	.	.	PUNCT
ejpam-6351	200	1	thus	thus	ADV
ejpam-6351	200	2	,	,	PUNCT
ejpam-6351	200	3	it	it	PRON
ejpam-6351	200	4	is	be	AUX
ejpam-6351	200	5	aimed	aim	VERB
ejpam-6351	200	6	to	to	PART
ejpam-6351	200	7	compare	compare	VERB
ejpam-6351	200	8	the	the	DET
ejpam-6351	200	9	ability	ability	NOUN
ejpam-6351	200	10	of	of	ADP
ejpam-6351	200	11	the	the	DET
ejpam-6351	200	12	algorithms	algorithm	NOUN
ejpam-6351	200	13	to	to	PART
ejpam-6351	200	14	automatically	automatically	ADV
ejpam-6351	200	15	change	change	VERB
ejpam-6351	200	16	strategies	strategy	NOUN
ejpam-6351	200	17	against	against	ADP
ejpam-6351	200	18	the	the	DET
ejpam-6351	200	19	selected	select	VERB
ejpam-6351	200	20	function	function	NOUN
ejpam-6351	200	21	structure	structure	NOUN
ejpam-6351	200	22	.	.	PUNCT
ejpam-6351	201	1	although	although	SCONJ
ejpam-6351	201	2	the	the	DET
ejpam-6351	201	3	function	function	NOUN
ejpam-6351	201	4	f4	f4	PROPN
ejpam-6351	201	5	appears	appear	VERB
ejpam-6351	201	6	to	to	PART
ejpam-6351	201	7	be	be	AUX
ejpam-6351	201	8	a	a	DET
ejpam-6351	201	9	simple	simple	ADJ
ejpam-6351	201	10	polynomial	polynomial	ADJ
ejpam-6351	201	11	function	function	NOUN
ejpam-6351	201	12	,	,	PUNCT
ejpam-6351	201	13	it	it	PRON
ejpam-6351	201	14	is	be	AUX
ejpam-6351	201	15	actually	actually	ADV
ejpam-6351	201	16	a	a	DET
ejpam-6351	201	17	function	function	NOUN
ejpam-6351	201	18	with	with	ADP
ejpam-6351	201	19	three	three	NUM
ejpam-6351	201	20	roots	root	NOUN
ejpam-6351	201	21	and	and	CCONJ
ejpam-6351	201	22	opposite	opposite	ADJ
ejpam-6351	201	23	slope	slope	NOUN
ejpam-6351	201	24	.	.	PUNCT
ejpam-6351	202	1	such	such	ADJ
ejpam-6351	202	2	functions	function	NOUN
ejpam-6351	202	3	reveal	reveal	VERB
ejpam-6351	202	4	the	the	DET
ejpam-6351	202	5	algorithms	algorithm	NOUN
ejpam-6351	202	6	’	'	PUNCT
ejpam-6351	202	7	sensitivity	sensitivity	NOUN
ejpam-6351	202	8	,	,	PUNCT
ejpam-6351	202	9	stability	stability	NOUN
ejpam-6351	202	10	,	,	PUNCT
ejpam-6351	202	11	and	and	CCONJ
ejpam-6351	202	12	sensitivity	sensitivity	NOUN
ejpam-6351	202	13	to	to	ADP
ejpam-6351	202	14	the	the	DET
ejpam-6351	202	15	initial	initial	ADJ
ejpam-6351	202	16	interval	interval	NOUN
ejpam-6351	202	17	.	.	PUNCT
ejpam-6351	203	1	the	the	DET
ejpam-6351	203	2	graphics	graphic	NOUN
ejpam-6351	203	3	of	of	ADP
ejpam-6351	203	4	these	these	DET
ejpam-6351	203	5	functions	function	NOUN
ejpam-6351	203	6	are	be	AUX
ejpam-6351	203	7	shown	show	VERB
ejpam-6351	203	8	in	in	ADP
ejpam-6351	203	9	figure	figure	NOUN
ejpam-6351	203	10	4	4	NUM
ejpam-6351	203	11	.	.	PUNCT
ejpam-6351	203	12	b.	b.	PROPN
ejpam-6351	203	13	köse	köse	PROPN
ejpam-6351	203	14	,	,	PUNCT
ejpam-6351	203	15	b.	b.	PROPN
ejpam-6351	203	16	demirtürk	demirtürk	PROPN
ejpam-6351	203	17	,	,	PUNCT
ejpam-6351	203	18	ş.	ş.	PROPN
ejpam-6351	203	19	konca	konca	PROPN
ejpam-6351	203	20	/	/	SYM
ejpam-6351	203	21	eur	eur	PROPN
ejpam-6351	203	22	.	.	PUNCT
ejpam-6351	204	1	j.	j.	PROPN
ejpam-6351	204	2	pure	pure	PROPN
ejpam-6351	204	3	appl	appl	PROPN
ejpam-6351	204	4	.	.	PROPN
ejpam-6351	204	5	math	math	PROPN
ejpam-6351	204	6	,	,	PUNCT
ejpam-6351	204	7	18	18	NUM
ejpam-6351	204	8	(	(	PUNCT
ejpam-6351	204	9	3	3	NUM
ejpam-6351	204	10	)	)	PUNCT
ejpam-6351	204	11	(	(	PUNCT
ejpam-6351	204	12	2025	2025	NUM
ejpam-6351	204	13	)	)	PUNCT
ejpam-6351	204	14	,	,	PUNCT
ejpam-6351	204	15	6351	6351	NUM
ejpam-6351	204	16	11	11	NUM
ejpam-6351	204	17	of	of	ADP
ejpam-6351	204	18	22	22	NUM
ejpam-6351	204	19	figure	figure	NOUN
ejpam-6351	204	20	4	4	NUM
ejpam-6351	204	21	:	:	PUNCT
ejpam-6351	204	22	the	the	DET
ejpam-6351	204	23	graphics	graphic	NOUN
ejpam-6351	204	24	of	of	ADP
ejpam-6351	204	25	the	the	DET
ejpam-6351	204	26	functions	function	NOUN
ejpam-6351	204	27	f1	f1	NOUN
ejpam-6351	204	28	,	,	PUNCT
ejpam-6351	204	29	f2	f2	PROPN
ejpam-6351	204	30	,	,	PUNCT
ejpam-6351	204	31	f3	f3	PROPN
ejpam-6351	204	32	and	and	CCONJ
ejpam-6351	204	33	f4	f4	PROPN
ejpam-6351	204	34	.	.	PUNCT
ejpam-6351	205	1	the	the	DET
ejpam-6351	205	2	graphics	graphic	NOUN
ejpam-6351	205	3	of	of	ADP
ejpam-6351	205	4	the	the	DET
ejpam-6351	205	5	absolute	absolute	ADJ
ejpam-6351	205	6	values	value	NOUN
ejpam-6351	205	7	of	of	ADP
ejpam-6351	205	8	these	these	DET
ejpam-6351	205	9	functions	function	NOUN
ejpam-6351	205	10	are	be	AUX
ejpam-6351	205	11	shown	show	VERB
ejpam-6351	205	12	in	in	ADP
ejpam-6351	205	13	figure	figure	NOUN
ejpam-6351	205	14	5	5	NUM
ejpam-6351	205	15	.	.	PUNCT
ejpam-6351	205	16	figure	figure	VERB
ejpam-6351	205	17	5	5	NUM
ejpam-6351	205	18	:	:	PUNCT
ejpam-6351	205	19	the	the	DET
ejpam-6351	205	20	graphics	graphic	NOUN
ejpam-6351	205	21	of	of	ADP
ejpam-6351	205	22	the	the	DET
ejpam-6351	205	23	functions	function	NOUN
ejpam-6351	205	24	|f1|	|f1|	NOUN
ejpam-6351	205	25	,	,	PUNCT
ejpam-6351	205	26	|f2|	|f2|	NOUN
ejpam-6351	205	27	,	,	PUNCT
ejpam-6351	205	28	|f3|	|f3|	NOUN
ejpam-6351	205	29	and	and	CCONJ
ejpam-6351	205	30	|f4|	|f4|	PROPN
ejpam-6351	205	31	.	.	PROPN
ejpam-6351	205	32	3.1.1	3.1.1	NUM
ejpam-6351	205	33	.	.	PUNCT
ejpam-6351	206	1	graphics	graphic	NOUN
ejpam-6351	206	2	of	of	ADP
ejpam-6351	206	3	approaching	approach	VERB
ejpam-6351	206	4	minimum	minimum	ADJ
ejpam-6351	206	5	value	value	NOUN
ejpam-6351	206	6	with	with	ADP
ejpam-6351	206	7	bm	bm	PROPN
ejpam-6351	206	8	algorithm	algorithm	PROPN
ejpam-6351	206	9	the	the	DET
ejpam-6351	206	10	graphics	graphic	NOUN
ejpam-6351	206	11	of	of	ADP
ejpam-6351	206	12	|f1|	|f1|	NOUN
ejpam-6351	206	13	,	,	PUNCT
ejpam-6351	206	14	|f2|	|f2|	NOUN
ejpam-6351	206	15	,	,	PUNCT
ejpam-6351	206	16	|f3|	|f3|	NOUN
ejpam-6351	206	17	and	and	CCONJ
ejpam-6351	206	18	|f4|	|f4|	PRON
ejpam-6351	206	19	approaching	approach	VERB
ejpam-6351	206	20	the	the	DET
ejpam-6351	206	21	minimum	minimum	ADJ
ejpam-6351	206	22	value	value	NOUN
ejpam-6351	206	23	with	with	ADP
ejpam-6351	206	24	the	the	DET
ejpam-6351	206	25	bisection	bisection	NOUN
ejpam-6351	206	26	algorithm	algorithm	NOUN
ejpam-6351	206	27	are	be	AUX
ejpam-6351	206	28	shown	show	VERB
ejpam-6351	206	29	in	in	ADP
ejpam-6351	206	30	figure	figure	NOUN
ejpam-6351	206	31	6	6	NUM
ejpam-6351	206	32	.	.	PUNCT
ejpam-6351	206	33	b.	b.	PROPN
ejpam-6351	206	34	köse	köse	PROPN
ejpam-6351	206	35	,	,	PUNCT
ejpam-6351	206	36	b.	b.	PROPN
ejpam-6351	206	37	demirtürk	demirtürk	PROPN
ejpam-6351	206	38	,	,	PUNCT
ejpam-6351	206	39	ş.	ş.	PROPN
ejpam-6351	206	40	konca	konca	PROPN
ejpam-6351	206	41	/	/	SYM
ejpam-6351	206	42	eur	eur	PROPN
ejpam-6351	206	43	.	.	PUNCT
ejpam-6351	207	1	j.	j.	PROPN
ejpam-6351	207	2	pure	pure	PROPN
ejpam-6351	207	3	appl	appl	PROPN
ejpam-6351	207	4	.	.	PROPN
ejpam-6351	207	5	math	math	PROPN
ejpam-6351	207	6	,	,	PUNCT
ejpam-6351	207	7	18	18	NUM
ejpam-6351	207	8	(	(	PUNCT
ejpam-6351	207	9	3	3	NUM
ejpam-6351	207	10	)	)	PUNCT
ejpam-6351	207	11	(	(	PUNCT
ejpam-6351	207	12	2025	2025	NUM
ejpam-6351	207	13	)	)	PUNCT
ejpam-6351	207	14	,	,	PUNCT
ejpam-6351	207	15	6351	6351	NUM
ejpam-6351	207	16	12	12	NUM
ejpam-6351	207	17	of	of	ADP
ejpam-6351	207	18	22	22	NUM
ejpam-6351	207	19	figure	figure	NOUN
ejpam-6351	207	20	6	6	NUM
ejpam-6351	207	21	:	:	PUNCT
ejpam-6351	207	22	the	the	DET
ejpam-6351	207	23	graphics	graphic	NOUN
ejpam-6351	207	24	of	of	ADP
ejpam-6351	207	25	the	the	DET
ejpam-6351	207	26	functions	function	NOUN
ejpam-6351	207	27	|f1|	|f1|	NOUN
ejpam-6351	207	28	,	,	PUNCT
ejpam-6351	207	29	|f2|	|f2|	NOUN
ejpam-6351	207	30	,	,	PUNCT
ejpam-6351	207	31	|f3|	|f3|	NOUN
ejpam-6351	207	32	and	and	CCONJ
ejpam-6351	207	33	|f4|	|f4|	PRON
ejpam-6351	207	34	approaching	approach	VERB
ejpam-6351	207	35	the	the	DET
ejpam-6351	207	36	minimum	minimum	ADJ
ejpam-6351	207	37	value	value	NOUN
ejpam-6351	207	38	with	with	ADP
ejpam-6351	207	39	the	the	DET
ejpam-6351	207	40	bm	bm	PROPN
ejpam-6351	207	41	algorithm	algorithm	PROPN
ejpam-6351	207	42	moreover	moreover	ADV
ejpam-6351	207	43	,	,	PUNCT
ejpam-6351	207	44	figure	figure	VERB
ejpam-6351	207	45	7	7	NUM
ejpam-6351	207	46	shows	show	VERB
ejpam-6351	207	47	the	the	DET
ejpam-6351	207	48	rate	rate	NOUN
ejpam-6351	207	49	of	of	ADP
ejpam-6351	207	50	convergence	convergence	NOUN
ejpam-6351	207	51	of	of	ADP
ejpam-6351	207	52	the	the	DET
ejpam-6351	207	53	functions|f1|	functions|f1|	PROPN
ejpam-6351	207	54	,	,	PUNCT
ejpam-6351	207	55	|f2|	|f2|	NOUN
ejpam-6351	207	56	,	,	PUNCT
ejpam-6351	207	57	|f3|and	|f3|and	PROPN
ejpam-6351	207	58	|f4|	|f4|	VERB
ejpam-6351	207	59	to	to	ADP
ejpam-6351	207	60	the	the	DET
ejpam-6351	207	61	optimum	optimum	ADJ
ejpam-6351	207	62	value	value	NOUN
ejpam-6351	207	63	using	use	VERB
ejpam-6351	207	64	the	the	DET
ejpam-6351	207	65	bm	bm	PROPN
ejpam-6351	207	66	algorithm	algorithm	NOUN
ejpam-6351	207	67	with	with	ADP
ejpam-6351	207	68	the	the	DET
ejpam-6351	207	69	number	number	NOUN
ejpam-6351	207	70	of	of	ADP
ejpam-6351	207	71	iterations	iteration	NOUN
ejpam-6351	207	72	.	.	PUNCT
ejpam-6351	208	1	figure	figure	VERB
ejpam-6351	208	2	7	7	NUM
ejpam-6351	208	3	:	:	PUNCT
ejpam-6351	208	4	the	the	DET
ejpam-6351	208	5	rate	rate	NOUN
ejpam-6351	208	6	of	of	ADP
ejpam-6351	208	7	convergence	convergence	NOUN
ejpam-6351	208	8	of	of	ADP
ejpam-6351	208	9	the	the	DET
ejpam-6351	208	10	functions	function	NOUN
ejpam-6351	208	11	|f1|	|f1|	NOUN
ejpam-6351	208	12	,	,	PUNCT
ejpam-6351	208	13	|f2|	|f2|	NOUN
ejpam-6351	208	14	,	,	PUNCT
ejpam-6351	208	15	|f3|	|f3|	NOUN
ejpam-6351	208	16	and	and	CCONJ
ejpam-6351	208	17	|f4|	|f4|	PRON
ejpam-6351	208	18	to	to	ADP
ejpam-6351	208	19	the	the	DET
ejpam-6351	208	20	optimum	optimum	ADJ
ejpam-6351	208	21	value	value	NOUN
ejpam-6351	208	22	using	use	VERB
ejpam-6351	208	23	the	the	DET
ejpam-6351	208	24	bm	bm	PROPN
ejpam-6351	208	25	algorithm	algorithm	NOUN
ejpam-6351	208	26	(	(	PUNCT
ejpam-6351	208	27	with	with	ADP
ejpam-6351	208	28	the	the	DET
ejpam-6351	208	29	number	number	NOUN
ejpam-6351	208	30	of	of	ADP
ejpam-6351	208	31	iterations	iteration	NOUN
ejpam-6351	208	32	)	)	PUNCT
ejpam-6351	208	33	.	.	PUNCT
ejpam-6351	209	1	3.1.2	3.1.2	X
ejpam-6351	209	2	.	.	PUNCT
ejpam-6351	210	1	graphics	graphic	NOUN
ejpam-6351	210	2	of	of	ADP
ejpam-6351	210	3	approaching	approach	VERB
ejpam-6351	210	4	the	the	DET
ejpam-6351	210	5	minimum	minimum	ADJ
ejpam-6351	210	6	value	value	NOUN
ejpam-6351	210	7	with	with	ADP
ejpam-6351	210	8	the	the	DET
ejpam-6351	210	9	gr	gr	PROPN
ejpam-6351	210	10	algorithm	algorithm	NOUN
ejpam-6351	210	11	the	the	DET
ejpam-6351	210	12	graphics	graphic	NOUN
ejpam-6351	210	13	of	of	ADP
ejpam-6351	210	14	|f1|	|f1|	NOUN
ejpam-6351	210	15	,	,	PUNCT
ejpam-6351	210	16	|f2|	|f2|	NOUN
ejpam-6351	210	17	,	,	PUNCT
ejpam-6351	210	18	|f3|	|f3|	NOUN
ejpam-6351	210	19	and	and	CCONJ
ejpam-6351	210	20	|f4|	|f4|	PRON
ejpam-6351	210	21	approaching	approach	VERB
ejpam-6351	210	22	the	the	DET
ejpam-6351	210	23	minimum	minimum	ADJ
ejpam-6351	210	24	value	value	NOUN
ejpam-6351	210	25	with	with	ADP
ejpam-6351	210	26	the	the	DET
ejpam-6351	210	27	bisection	bisection	NOUN
ejpam-6351	210	28	algorithm	algorithm	NOUN
ejpam-6351	210	29	are	be	AUX
ejpam-6351	210	30	shown	show	VERB
ejpam-6351	210	31	in	in	ADP
ejpam-6351	210	32	figure	figure	NOUN
ejpam-6351	210	33	8	8	NUM
ejpam-6351	210	34	.	.	PUNCT
ejpam-6351	210	35	b.	b.	PROPN
ejpam-6351	210	36	köse	köse	PROPN
ejpam-6351	210	37	,	,	PUNCT
ejpam-6351	210	38	b.	b.	PROPN
ejpam-6351	210	39	demirtürk	demirtürk	PROPN
ejpam-6351	210	40	,	,	PUNCT
ejpam-6351	210	41	ş.	ş.	PROPN
ejpam-6351	210	42	konca	konca	PROPN
ejpam-6351	210	43	/	/	SYM
ejpam-6351	210	44	eur	eur	PROPN
ejpam-6351	210	45	.	.	PUNCT
ejpam-6351	211	1	j.	j.	PROPN
ejpam-6351	211	2	pure	pure	PROPN
ejpam-6351	211	3	appl	appl	PROPN
ejpam-6351	211	4	.	.	PROPN
ejpam-6351	211	5	math	math	PROPN
ejpam-6351	211	6	,	,	PUNCT
ejpam-6351	211	7	18	18	NUM
ejpam-6351	211	8	(	(	PUNCT
ejpam-6351	211	9	3	3	NUM
ejpam-6351	211	10	)	)	PUNCT
ejpam-6351	211	11	(	(	PUNCT
ejpam-6351	211	12	2025	2025	NUM
ejpam-6351	211	13	)	)	PUNCT
ejpam-6351	211	14	,	,	PUNCT
ejpam-6351	211	15	6351	6351	NUM
ejpam-6351	211	16	13	13	NUM
ejpam-6351	211	17	of	of	ADP
ejpam-6351	211	18	22	22	NUM
ejpam-6351	211	19	figure	figure	NOUN
ejpam-6351	211	20	8	8	NUM
ejpam-6351	211	21	:	:	PUNCT
ejpam-6351	211	22	graphics	graphic	NOUN
ejpam-6351	211	23	of	of	ADP
ejpam-6351	211	24	the	the	DET
ejpam-6351	211	25	functions	function	NOUN
ejpam-6351	211	26	|f1|	|f1|	NOUN
ejpam-6351	211	27	,	,	PUNCT
ejpam-6351	211	28	|f2|	|f2|	NOUN
ejpam-6351	211	29	,	,	PUNCT
ejpam-6351	211	30	|f3|	|f3|	NOUN
ejpam-6351	211	31	and	and	CCONJ
ejpam-6351	211	32	|f4|	|f4|	PRON
ejpam-6351	211	33	approaching	approach	VERB
ejpam-6351	211	34	the	the	DET
ejpam-6351	211	35	minimum	minimum	ADJ
ejpam-6351	211	36	value	value	NOUN
ejpam-6351	211	37	with	with	ADP
ejpam-6351	211	38	the	the	DET
ejpam-6351	211	39	gr	gr	NOUN
ejpam-6351	211	40	algorithm	algorithm	NOUN
ejpam-6351	211	41	in	in	ADP
ejpam-6351	211	42	figure	figure	NOUN
ejpam-6351	211	43	9	9	NUM
ejpam-6351	211	44	,	,	PUNCT
ejpam-6351	211	45	the	the	DET
ejpam-6351	211	46	speed	speed	NOUN
ejpam-6351	211	47	of	of	ADP
ejpam-6351	211	48	approaching	approach	VERB
ejpam-6351	211	49	the	the	DET
ejpam-6351	211	50	minimum	minimum	ADJ
ejpam-6351	211	51	value	value	NOUN
ejpam-6351	211	52	of	of	ADP
ejpam-6351	211	53	the	the	DET
ejpam-6351	211	54	functions	function	NOUN
ejpam-6351	211	55	|f1|	|f1|	NOUN
ejpam-6351	211	56	,	,	PUNCT
ejpam-6351	211	57	|f2|	|f2|	NOUN
ejpam-6351	211	58	,	,	PUNCT
ejpam-6351	211	59	|f3|	|f3|	NOUN
ejpam-6351	211	60	and	and	CCONJ
ejpam-6351	211	61	|f4|	|f4|	PRON
ejpam-6351	211	62	using	use	VERB
ejpam-6351	211	63	the	the	DET
ejpam-6351	211	64	gr	gr	ADJ
ejpam-6351	211	65	algorithm	algorithm	NOUN
ejpam-6351	211	66	is	be	AUX
ejpam-6351	211	67	given	give	VERB
ejpam-6351	211	68	by	by	ADP
ejpam-6351	211	69	the	the	DET
ejpam-6351	211	70	number	number	NOUN
ejpam-6351	211	71	of	of	ADP
ejpam-6351	211	72	iterations	iteration	NOUN
ejpam-6351	211	73	.	.	PUNCT
ejpam-6351	212	1	b.	b.	PROPN
ejpam-6351	212	2	köse	köse	PROPN
ejpam-6351	212	3	,	,	PUNCT
ejpam-6351	212	4	b.	b.	PROPN
ejpam-6351	212	5	demirtürk	demirtürk	PROPN
ejpam-6351	212	6	,	,	PUNCT
ejpam-6351	212	7	ş.	ş.	PROPN
ejpam-6351	212	8	konca	konca	PROPN
ejpam-6351	212	9	/	/	SYM
ejpam-6351	212	10	eur	eur	PROPN
ejpam-6351	212	11	.	.	PUNCT
ejpam-6351	213	1	j.	j.	PROPN
ejpam-6351	213	2	pure	pure	PROPN
ejpam-6351	213	3	appl	appl	PROPN
ejpam-6351	213	4	.	.	PROPN
ejpam-6351	213	5	math	math	PROPN
ejpam-6351	213	6	,	,	PUNCT
ejpam-6351	213	7	18	18	NUM
ejpam-6351	213	8	(	(	PUNCT
ejpam-6351	213	9	3	3	NUM
ejpam-6351	213	10	)	)	PUNCT
ejpam-6351	213	11	(	(	PUNCT
ejpam-6351	213	12	2025	2025	NUM
ejpam-6351	213	13	)	)	PUNCT
ejpam-6351	213	14	,	,	PUNCT
ejpam-6351	213	15	6351	6351	NUM
ejpam-6351	213	16	14	14	NUM
ejpam-6351	213	17	of	of	ADP
ejpam-6351	213	18	22	22	NUM
ejpam-6351	213	19	figure	figure	NOUN
ejpam-6351	213	20	9	9	NUM
ejpam-6351	213	21	:	:	PUNCT
ejpam-6351	213	22	the	the	DET
ejpam-6351	213	23	speed	speed	NOUN
ejpam-6351	213	24	of	of	ADP
ejpam-6351	213	25	approaching	approach	VERB
ejpam-6351	213	26	the	the	DET
ejpam-6351	213	27	minimum	minimum	ADJ
ejpam-6351	213	28	value	value	NOUN
ejpam-6351	213	29	of	of	ADP
ejpam-6351	213	30	functions	function	NOUN
ejpam-6351	213	31	|f1|	|f1|	NOUN
ejpam-6351	213	32	,	,	PUNCT
ejpam-6351	213	33	|f2|	|f2|	NOUN
ejpam-6351	213	34	,	,	PUNCT
ejpam-6351	213	35	|f3|	|f3|	NOUN
ejpam-6351	213	36	and	and	CCONJ
ejpam-6351	213	37	|f4|	|f4|	PRON
ejpam-6351	213	38	using	use	VERB
ejpam-6351	213	39	the	the	DET
ejpam-6351	213	40	gr	gr	ADJ
ejpam-6351	213	41	algorithm	algorithm	NOUN
ejpam-6351	213	42	with	with	ADP
ejpam-6351	213	43	the	the	DET
ejpam-6351	213	44	number	number	NOUN
ejpam-6351	213	45	of	of	ADP
ejpam-6351	213	46	iterations	iteration	NOUN
ejpam-6351	213	47	3.1.3	3.1.3	NUM
ejpam-6351	213	48	.	.	PUNCT
ejpam-6351	214	1	graphics	graphic	NOUN
ejpam-6351	214	2	of	of	ADP
ejpam-6351	214	3	approaching	approach	VERB
ejpam-6351	214	4	the	the	DET
ejpam-6351	214	5	minimum	minimum	ADJ
ejpam-6351	214	6	value	value	NOUN
ejpam-6351	214	7	with	with	ADP
ejpam-6351	214	8	fib	fib	ADJ
ejpam-6351	214	9	algorithm	algorithm	NOUN
ejpam-6351	214	10	the	the	DET
ejpam-6351	214	11	graphics	graphic	NOUN
ejpam-6351	214	12	of	of	ADP
ejpam-6351	214	13	|f1|	|f1|	NOUN
ejpam-6351	214	14	,	,	PUNCT
ejpam-6351	214	15	|f2|	|f2|	NOUN
ejpam-6351	214	16	,	,	PUNCT
ejpam-6351	214	17	|f3|	|f3|	NOUN
ejpam-6351	214	18	and	and	CCONJ
ejpam-6351	214	19	|f4|	|f4|	PRON
ejpam-6351	214	20	approaching	approach	VERB
ejpam-6351	214	21	the	the	DET
ejpam-6351	214	22	minimum	minimum	ADJ
ejpam-6351	214	23	value	value	NOUN
ejpam-6351	214	24	with	with	ADP
ejpam-6351	214	25	the	the	DET
ejpam-6351	214	26	bisection	bisection	NOUN
ejpam-6351	214	27	algorithm	algorithm	NOUN
ejpam-6351	214	28	are	be	AUX
ejpam-6351	214	29	shown	show	VERB
ejpam-6351	214	30	in	in	ADP
ejpam-6351	214	31	figure	figure	NOUN
ejpam-6351	214	32	10	10	NUM
ejpam-6351	214	33	.	.	PUNCT
ejpam-6351	214	34	b.	b.	PROPN
ejpam-6351	214	35	köse	köse	PROPN
ejpam-6351	214	36	,	,	PUNCT
ejpam-6351	214	37	b.	b.	PROPN
ejpam-6351	214	38	demirtürk	demirtürk	PROPN
ejpam-6351	214	39	,	,	PUNCT
ejpam-6351	214	40	ş.	ş.	PROPN
ejpam-6351	214	41	konca	konca	PROPN
ejpam-6351	214	42	/	/	SYM
ejpam-6351	214	43	eur	eur	PROPN
ejpam-6351	214	44	.	.	PUNCT
ejpam-6351	215	1	j.	j.	PROPN
ejpam-6351	215	2	pure	pure	PROPN
ejpam-6351	215	3	appl	appl	PROPN
ejpam-6351	215	4	.	.	PROPN
ejpam-6351	215	5	math	math	PROPN
ejpam-6351	215	6	,	,	PUNCT
ejpam-6351	215	7	18	18	NUM
ejpam-6351	215	8	(	(	PUNCT
ejpam-6351	215	9	3	3	NUM
ejpam-6351	215	10	)	)	PUNCT
ejpam-6351	215	11	(	(	PUNCT
ejpam-6351	215	12	2025	2025	NUM
ejpam-6351	215	13	)	)	PUNCT
ejpam-6351	215	14	,	,	PUNCT
ejpam-6351	215	15	6351	6351	NUM
ejpam-6351	215	16	15	15	NUM
ejpam-6351	215	17	of	of	ADP
ejpam-6351	215	18	22	22	NUM
ejpam-6351	215	19	figure	figure	NOUN
ejpam-6351	215	20	10	10	NUM
ejpam-6351	215	21	:	:	PUNCT
ejpam-6351	215	22	graphics	graphic	NOUN
ejpam-6351	215	23	of	of	ADP
ejpam-6351	215	24	the	the	DET
ejpam-6351	215	25	functions	function	NOUN
ejpam-6351	215	26	|f1|	|f1|	NOUN
ejpam-6351	215	27	,	,	PUNCT
ejpam-6351	215	28	|f2|	|f2|	NOUN
ejpam-6351	215	29	,	,	PUNCT
ejpam-6351	215	30	|f3|	|f3|	NOUN
ejpam-6351	215	31	and	and	CCONJ
ejpam-6351	215	32	|f4|	|f4|	PRON
ejpam-6351	215	33	approaching	approach	VERB
ejpam-6351	215	34	the	the	DET
ejpam-6351	215	35	minimum	minimum	ADJ
ejpam-6351	215	36	value	value	NOUN
ejpam-6351	215	37	with	with	ADP
ejpam-6351	215	38	the	the	DET
ejpam-6351	215	39	fib	fib	ADJ
ejpam-6351	215	40	algorithm	algorithm	NOUN
ejpam-6351	215	41	figure	figure	NOUN
ejpam-6351	215	42	11	11	NUM
ejpam-6351	215	43	shows	show	VERB
ejpam-6351	215	44	the	the	DET
ejpam-6351	215	45	rate	rate	NOUN
ejpam-6351	215	46	of	of	ADP
ejpam-6351	215	47	convergence	convergence	NOUN
ejpam-6351	215	48	of	of	ADP
ejpam-6351	215	49	functions|f1|	functions|f1|	PROPN
ejpam-6351	215	50	,	,	PUNCT
ejpam-6351	215	51	|f2|	|f2|	NOUN
ejpam-6351	215	52	,	,	PUNCT
ejpam-6351	215	53	|f3|	|f3|	NOUN
ejpam-6351	215	54	and	and	CCONJ
ejpam-6351	215	55	|f4|	|f4|	PRON
ejpam-6351	215	56	to	to	ADP
ejpam-6351	215	57	the	the	DET
ejpam-6351	215	58	optimal	optimal	ADJ
ejpam-6351	215	59	value	value	NOUN
ejpam-6351	215	60	using	use	VERB
ejpam-6351	215	61	the	the	DET
ejpam-6351	215	62	fib	fib	ADJ
ejpam-6351	215	63	algorithm	algorithm	NOUN
ejpam-6351	215	64	with	with	ADP
ejpam-6351	215	65	the	the	DET
ejpam-6351	215	66	number	number	NOUN
ejpam-6351	215	67	of	of	ADP
ejpam-6351	215	68	iterations	iteration	NOUN
ejpam-6351	215	69	.	.	PUNCT
ejpam-6351	216	1	b.	b.	PROPN
ejpam-6351	216	2	köse	köse	PROPN
ejpam-6351	216	3	,	,	PUNCT
ejpam-6351	216	4	b.	b.	PROPN
ejpam-6351	216	5	demirtürk	demirtürk	PROPN
ejpam-6351	216	6	,	,	PUNCT
ejpam-6351	216	7	ş.	ş.	PROPN
ejpam-6351	216	8	konca	konca	PROPN
ejpam-6351	216	9	/	/	SYM
ejpam-6351	216	10	eur	eur	PROPN
ejpam-6351	216	11	.	.	PUNCT
ejpam-6351	217	1	j.	j.	PROPN
ejpam-6351	217	2	pure	pure	PROPN
ejpam-6351	217	3	appl	appl	PROPN
ejpam-6351	217	4	.	.	PROPN
ejpam-6351	217	5	math	math	PROPN
ejpam-6351	217	6	,	,	PUNCT
ejpam-6351	217	7	18	18	NUM
ejpam-6351	217	8	(	(	PUNCT
ejpam-6351	217	9	3	3	NUM
ejpam-6351	217	10	)	)	PUNCT
ejpam-6351	217	11	(	(	PUNCT
ejpam-6351	217	12	2025	2025	NUM
ejpam-6351	217	13	)	)	PUNCT
ejpam-6351	217	14	,	,	PUNCT
ejpam-6351	217	15	6351	6351	NUM
ejpam-6351	217	16	16	16	NUM
ejpam-6351	217	17	of	of	ADP
ejpam-6351	217	18	22	22	NUM
ejpam-6351	217	19	figure	figure	NOUN
ejpam-6351	217	20	11	11	NUM
ejpam-6351	217	21	:	:	PUNCT
ejpam-6351	217	22	the	the	DET
ejpam-6351	217	23	speed	speed	NOUN
ejpam-6351	217	24	of	of	ADP
ejpam-6351	217	25	approaching	approach	VERB
ejpam-6351	217	26	the	the	DET
ejpam-6351	217	27	minimum	minimum	ADJ
ejpam-6351	217	28	value	value	NOUN
ejpam-6351	217	29	of	of	ADP
ejpam-6351	217	30	the	the	DET
ejpam-6351	217	31	functions	function	NOUN
ejpam-6351	217	32	|f1|	|f1|	NOUN
ejpam-6351	217	33	,	,	PUNCT
ejpam-6351	217	34	|f2|	|f2|	NOUN
ejpam-6351	217	35	,	,	PUNCT
ejpam-6351	217	36	|f3|	|f3|	NOUN
ejpam-6351	217	37	and	and	CCONJ
ejpam-6351	217	38	|f4|	|f4|	PRON
ejpam-6351	217	39	using	use	VERB
ejpam-6351	217	40	the	the	DET
ejpam-6351	217	41	fib	fib	ADJ
ejpam-6351	217	42	algorithm	algorithm	NOUN
ejpam-6351	217	43	with	with	ADP
ejpam-6351	217	44	the	the	DET
ejpam-6351	217	45	number	number	NOUN
ejpam-6351	217	46	of	of	ADP
ejpam-6351	217	47	iterations	iteration	NOUN
ejpam-6351	217	48	3.2	3.2	NUM
ejpam-6351	217	49	.	.	PUNCT
ejpam-6351	218	1	error	error	NOUN
ejpam-6351	218	2	calculations	calculation	NOUN
ejpam-6351	218	3	in	in	ADP
ejpam-6351	218	4	performance	performance	NOUN
ejpam-6351	218	5	evaluation	evaluation	NOUN
ejpam-6351	218	6	the	the	DET
ejpam-6351	218	7	problem	problem	NOUN
ejpam-6351	218	8	of	of	ADP
ejpam-6351	218	9	finding	find	VERB
ejpam-6351	218	10	the	the	DET
ejpam-6351	218	11	root	root	NOUN
ejpam-6351	218	12	of	of	ADP
ejpam-6351	218	13	algebraic	algebraic	ADJ
ejpam-6351	218	14	equations	equation	NOUN
ejpam-6351	218	15	is	be	AUX
ejpam-6351	218	16	crucial	crucial	ADJ
ejpam-6351	218	17	in	in	ADP
ejpam-6351	218	18	numerical	numerical	ADJ
ejpam-6351	218	19	analysis	analysis	NOUN
ejpam-6351	218	20	and	and	CCONJ
ejpam-6351	218	21	computer	computer	NOUN
ejpam-6351	218	22	science	science	NOUN
ejpam-6351	218	23	.	.	PUNCT
ejpam-6351	219	1	the	the	DET
ejpam-6351	219	2	approximate	approximate	ADJ
ejpam-6351	219	3	values	value	NOUN
ejpam-6351	219	4	obtained	obtain	VERB
ejpam-6351	219	5	by	by	ADP
ejpam-6351	219	6	numerical	numerical	ADJ
ejpam-6351	219	7	and	and	CCONJ
ejpam-6351	219	8	optimization	optimization	NOUN
ejpam-6351	219	9	methods	method	NOUN
ejpam-6351	219	10	and	and	CCONJ
ejpam-6351	219	11	the	the	DET
ejpam-6351	219	12	difference	difference	NOUN
ejpam-6351	219	13	between	between	ADP
ejpam-6351	219	14	these	these	DET
ejpam-6351	219	15	values	value	NOUN
ejpam-6351	219	16	and	and	CCONJ
ejpam-6351	219	17	the	the	DET
ejpam-6351	219	18	actual	actual	ADJ
ejpam-6351	219	19	values	value	NOUN
ejpam-6351	219	20	,	,	PUNCT
ejpam-6351	219	21	i.e.	i.e.	X
ejpam-6351	219	22	the	the	DET
ejpam-6351	219	23	error	error	NOUN
ejpam-6351	219	24	values	value	NOUN
ejpam-6351	219	25	,	,	PUNCT
ejpam-6351	219	26	are	be	AUX
ejpam-6351	219	27	of	of	ADP
ejpam-6351	219	28	critical	critical	ADJ
ejpam-6351	219	29	importance	importance	NOUN
ejpam-6351	219	30	.	.	PUNCT
ejpam-6351	220	1	in	in	ADP
ejpam-6351	220	2	this	this	DET
ejpam-6351	220	3	section	section	NOUN
ejpam-6351	220	4	,	,	PUNCT
ejpam-6351	220	5	the	the	DET
ejpam-6351	220	6	equations	equation	NOUN
ejpam-6351	220	7	representing	represent	VERB
ejpam-6351	220	8	the	the	DET
ejpam-6351	220	9	errors	error	NOUN
ejpam-6351	220	10	are	be	AUX
ejpam-6351	220	11	discussed	discuss	VERB
ejpam-6351	220	12	and	and	CCONJ
ejpam-6351	220	13	finally	finally	ADV
ejpam-6351	220	14	the	the	DET
ejpam-6351	220	15	computational	computational	ADJ
ejpam-6351	220	16	results	result	NOUN
ejpam-6351	220	17	of	of	ADP
ejpam-6351	220	18	these	these	DET
ejpam-6351	220	19	errors	error	NOUN
ejpam-6351	220	20	are	be	AUX
ejpam-6351	220	21	presented	present	VERB
ejpam-6351	220	22	for	for	ADP
ejpam-6351	220	23	the	the	DET
ejpam-6351	220	24	performance	performance	NOUN
ejpam-6351	220	25	evaluation	evaluation	NOUN
ejpam-6351	220	26	of	of	ADP
ejpam-6351	220	27	the	the	DET
ejpam-6351	220	28	algorithms	algorithm	NOUN
ejpam-6351	220	29	.	.	PUNCT
ejpam-6351	221	1	3.2.1	3.2.1	X
ejpam-6351	221	2	.	.	PUNCT
ejpam-6351	221	3	mean	mean	VERB
ejpam-6351	221	4	absolute	absolute	ADJ
ejpam-6351	221	5	error	error	NOUN
ejpam-6351	221	6	(	(	PUNCT
ejpam-6351	221	7	mae	mae	PROPN
ejpam-6351	221	8	)	)	PUNCT
ejpam-6351	221	9	the	the	DET
ejpam-6351	221	10	mean	mean	ADJ
ejpam-6351	221	11	absolute	absolute	ADJ
ejpam-6351	221	12	error	error	NOUN
ejpam-6351	221	13	(	(	PUNCT
ejpam-6351	221	14	mae	mae	PROPN
ejpam-6351	221	15	)	)	PUNCT
ejpam-6351	221	16	is	be	AUX
ejpam-6351	221	17	frequently	frequently	ADV
ejpam-6351	221	18	used	use	VERB
ejpam-6351	221	19	in	in	ADP
ejpam-6351	221	20	regression	regression	NOUN
ejpam-6351	221	21	and	and	CCONJ
ejpam-6351	221	22	time	time	NOUN
ejpam-6351	221	23	series	series	NOUN
ejpam-6351	221	24	problems	problem	NOUN
ejpam-6351	221	25	because	because	SCONJ
ejpam-6351	221	26	of	of	ADP
ejpam-6351	221	27	its	its	PRON
ejpam-6351	221	28	easy	easy	ADJ
ejpam-6351	221	29	interpretation	interpretation	NOUN
ejpam-6351	221	30	.	.	PUNCT
ejpam-6351	222	1	mae	mae	PROPN
ejpam-6351	222	2	is	be	AUX
ejpam-6351	222	3	a	a	DET
ejpam-6351	222	4	measure	measure	NOUN
ejpam-6351	222	5	of	of	ADP
ejpam-6351	222	6	the	the	DET
ejpam-6351	222	7	difference	difference	NOUN
ejpam-6351	222	8	between	between	ADP
ejpam-6351	222	9	two	two	NUM
ejpam-6351	222	10	continuous	continuous	ADJ
ejpam-6351	222	11	variables	variable	NOUN
ejpam-6351	222	12	,	,	PUNCT
ejpam-6351	222	13	i.e.	i.e.	X
ejpam-6351	222	14	the	the	DET
ejpam-6351	222	15	sum	sum	NOUN
ejpam-6351	222	16	of	of	ADP
ejpam-6351	222	17	the	the	DET
ejpam-6351	222	18	absolute	absolute	ADJ
ejpam-6351	222	19	values	value	NOUN
ejpam-6351	222	20	of	of	ADP
ejpam-6351	222	21	the	the	DET
ejpam-6351	222	22	differences	difference	NOUN
ejpam-6351	222	23	between	between	ADP
ejpam-6351	222	24	the	the	DET
ejpam-6351	222	25	actual	actual	ADJ
ejpam-6351	222	26	and	and	CCONJ
ejpam-6351	222	27	predicted	predict	VERB
ejpam-6351	222	28	values	value	NOUN
ejpam-6351	222	29	,	,	PUNCT
ejpam-6351	222	30	and	and	CCONJ
ejpam-6351	222	31	measures	measure	VERB
ejpam-6351	222	32	the	the	DET
ejpam-6351	222	33	magnitude	magnitude	NOUN
ejpam-6351	222	34	of	of	ADP
ejpam-6351	222	35	deviations	deviation	NOUN
ejpam-6351	222	36	between	between	ADP
ejpam-6351	222	37	predictions	prediction	NOUN
ejpam-6351	222	38	and	and	CCONJ
ejpam-6351	222	39	b.	b.	PROPN
ejpam-6351	222	40	köse	köse	PROPN
ejpam-6351	222	41	,	,	PUNCT
ejpam-6351	222	42	b.	b.	PROPN
ejpam-6351	222	43	demirtürk	demirtürk	PROPN
ejpam-6351	222	44	,	,	PUNCT
ejpam-6351	222	45	ş.	ş.	PROPN
ejpam-6351	222	46	konca	konca	PROPN
ejpam-6351	222	47	/	/	SYM
ejpam-6351	222	48	eur	eur	PROPN
ejpam-6351	222	49	.	.	PUNCT
ejpam-6351	223	1	j.	j.	PROPN
ejpam-6351	223	2	pure	pure	PROPN
ejpam-6351	223	3	appl	appl	PROPN
ejpam-6351	223	4	.	.	PROPN
ejpam-6351	223	5	math	math	PROPN
ejpam-6351	223	6	,	,	PUNCT
ejpam-6351	223	7	18	18	NUM
ejpam-6351	223	8	(	(	PUNCT
ejpam-6351	223	9	3	3	NUM
ejpam-6351	223	10	)	)	PUNCT
ejpam-6351	223	11	(	(	PUNCT
ejpam-6351	223	12	2025	2025	NUM
ejpam-6351	223	13	)	)	PUNCT
ejpam-6351	223	14	,	,	PUNCT
ejpam-6351	223	15	6351	6351	NUM
ejpam-6351	223	16	17	17	NUM
ejpam-6351	223	17	of	of	ADP
ejpam-6351	223	18	22	22	NUM
ejpam-6351	223	19	actual	actual	ADJ
ejpam-6351	223	20	values	value	NOUN
ejpam-6351	223	21	.	.	PUNCT
ejpam-6351	224	1	the	the	DET
ejpam-6351	224	2	formula	formula	NOUN
ejpam-6351	224	3	of	of	ADP
ejpam-6351	224	4	mean	mean	ADJ
ejpam-6351	224	5	absolute	absolute	ADJ
ejpam-6351	224	6	error	error	NOUN
ejpam-6351	224	7	is	be	AUX
ejpam-6351	224	8	given	give	VERB
ejpam-6351	224	9	by	by	ADP
ejpam-6351	224	10	mae	mae	PROPN
ejpam-6351	224	11	=	=	PROPN
ejpam-6351	224	12	1	1	NUM
ejpam-6351	224	13	n	n	NUM
ejpam-6351	224	14	n∑	n∑	PROPN
ejpam-6351	224	15	i=0	i=0	ADJ
ejpam-6351	224	16	|xg	|xg	NUM
ejpam-6351	224	17	−	−	PROPN
ejpam-6351	224	18	xi|	xi|	NOUN
ejpam-6351	224	19	.	.	PUNCT
ejpam-6351	225	1	(	(	PUNCT
ejpam-6351	225	2	1	1	X
ejpam-6351	225	3	)	)	PUNCT
ejpam-6351	225	4	in	in	ADP
ejpam-6351	225	5	equation	equation	NOUN
ejpam-6351	225	6	(	(	PUNCT
ejpam-6351	225	7	1	1	NUM
ejpam-6351	225	8	)	)	PUNCT
ejpam-6351	225	9	,	,	PUNCT
ejpam-6351	225	10	xg	xg	PROPN
ejpam-6351	225	11	,	,	PUNCT
ejpam-6351	225	12	xi	xi	PROPN
ejpam-6351	225	13	and	and	CCONJ
ejpam-6351	225	14	n	n	PROPN
ejpam-6351	225	15	is	be	AUX
ejpam-6351	225	16	defined	define	VERB
ejpam-6351	225	17	as	as	ADP
ejpam-6351	225	18	;	;	PUNCT
ejpam-6351	225	19	xg	xg	NOUN
ejpam-6351	225	20	:	:	PUNCT
ejpam-6351	225	21	real	real	ADJ
ejpam-6351	225	22	root	root	NOUN
ejpam-6351	225	23	,	,	PUNCT
ejpam-6351	225	24	xi	xi	PRON
ejpam-6351	225	25	:	:	PUNCT
ejpam-6351	225	26	approximate	approximate	ADJ
ejpam-6351	225	27	root	root	NOUN
ejpam-6351	225	28	obtained	obtain	VERB
ejpam-6351	225	29	in	in	ADP
ejpam-6351	225	30	step	step	NOUN
ejpam-6351	225	31	i	i	PROPN
ejpam-6351	225	32	,	,	PUNCT
ejpam-6351	225	33	n	n	CCONJ
ejpam-6351	225	34	:	:	PUNCT
ejpam-6351	225	35	number	number	NOUN
ejpam-6351	225	36	of	of	ADP
ejpam-6351	225	37	the	the	DET
ejpam-6351	225	38	total	total	ADJ
ejpam-6351	225	39	iteration	iteration	NOUN
ejpam-6351	226	1	[	[	X
ejpam-6351	226	2	22	22	NUM
ejpam-6351	226	3	]	]	PUNCT
ejpam-6351	226	4	.	.	PUNCT
ejpam-6351	227	1	3.2.2	3.2.2	X
ejpam-6351	227	2	.	.	PUNCT
ejpam-6351	227	3	mean	mean	VERB
ejpam-6351	227	4	absolute	absolute	ADJ
ejpam-6351	227	5	approximation	approximation	NOUN
ejpam-6351	227	6	error	error	NOUN
ejpam-6351	227	7	(	(	PUNCT
ejpam-6351	227	8	maae	maae	NOUN
ejpam-6351	227	9	)	)	PUNCT
ejpam-6351	227	10	the	the	DET
ejpam-6351	227	11	mean	mean	ADJ
ejpam-6351	227	12	absolute	absolute	ADJ
ejpam-6351	227	13	approximation	approximation	NOUN
ejpam-6351	227	14	error	error	NOUN
ejpam-6351	227	15	(	(	PUNCT
ejpam-6351	227	16	maae	maae	NOUN
ejpam-6351	227	17	)	)	PUNCT
ejpam-6351	227	18	measures	measure	VERB
ejpam-6351	227	19	the	the	DET
ejpam-6351	227	20	accuracy	accuracy	NOUN
ejpam-6351	227	21	of	of	ADP
ejpam-6351	227	22	approximations	approximation	NOUN
ejpam-6351	227	23	when	when	SCONJ
ejpam-6351	227	24	the	the	DET
ejpam-6351	227	25	true	true	ADJ
ejpam-6351	227	26	value	value	NOUN
ejpam-6351	227	27	is	be	AUX
ejpam-6351	227	28	unknown	unknown	ADJ
ejpam-6351	227	29	but	but	CCONJ
ejpam-6351	227	30	can	can	AUX
ejpam-6351	227	31	be	be	AUX
ejpam-6351	227	32	estimated	estimate	VERB
ejpam-6351	227	33	.	.	PUNCT
ejpam-6351	228	1	it	it	PRON
ejpam-6351	228	2	is	be	AUX
ejpam-6351	228	3	calculated	calculate	VERB
ejpam-6351	228	4	as	as	ADP
ejpam-6351	228	5	the	the	DET
ejpam-6351	228	6	average	average	NOUN
ejpam-6351	228	7	of	of	ADP
ejpam-6351	228	8	the	the	DET
ejpam-6351	228	9	absolute	absolute	ADJ
ejpam-6351	228	10	values	value	NOUN
ejpam-6351	228	11	of	of	ADP
ejpam-6351	228	12	the	the	DET
ejpam-6351	228	13	differences	difference	NOUN
ejpam-6351	228	14	between	between	ADP
ejpam-6351	228	15	the	the	DET
ejpam-6351	228	16	values	value	NOUN
ejpam-6351	228	17	obtained	obtain	VERB
ejpam-6351	228	18	at	at	ADP
ejpam-6351	228	19	each	each	DET
ejpam-6351	228	20	step	step	NOUN
ejpam-6351	228	21	of	of	ADP
ejpam-6351	228	22	an	an	DET
ejpam-6351	228	23	iteration	iteration	NOUN
ejpam-6351	228	24	and	and	CCONJ
ejpam-6351	228	25	the	the	DET
ejpam-6351	228	26	values	value	NOUN
ejpam-6351	228	27	from	from	ADP
ejpam-6351	228	28	the	the	DET
ejpam-6351	228	29	previous	previous	ADJ
ejpam-6351	228	30	step	step	NOUN
ejpam-6351	228	31	.	.	PUNCT
ejpam-6351	229	1	this	this	DET
ejpam-6351	229	2	error	error	NOUN
ejpam-6351	229	3	measure	measure	NOUN
ejpam-6351	229	4	is	be	AUX
ejpam-6351	229	5	widely	widely	ADV
ejpam-6351	229	6	used	use	VERB
ejpam-6351	229	7	in	in	ADP
ejpam-6351	229	8	numerical	numerical	ADJ
ejpam-6351	229	9	analysis	analysis	NOUN
ejpam-6351	229	10	,	,	PUNCT
ejpam-6351	229	11	optimization	optimization	NOUN
ejpam-6351	229	12	,	,	PUNCT
ejpam-6351	229	13	and	and	CCONJ
ejpam-6351	229	14	engineering	engineering	NOUN
ejpam-6351	229	15	to	to	PART
ejpam-6351	229	16	assess	assess	VERB
ejpam-6351	229	17	the	the	DET
ejpam-6351	229	18	accuracy	accuracy	NOUN
ejpam-6351	229	19	and	and	CCONJ
ejpam-6351	229	20	stability	stability	NOUN
ejpam-6351	229	21	of	of	ADP
ejpam-6351	229	22	estimates	estimate	NOUN
ejpam-6351	229	23	.	.	PUNCT
ejpam-6351	230	1	maae	maae	NOUN
ejpam-6351	230	2	is	be	AUX
ejpam-6351	230	3	particularly	particularly	ADV
ejpam-6351	230	4	useful	useful	ADJ
ejpam-6351	230	5	in	in	ADP
ejpam-6351	230	6	computational	computational	ADJ
ejpam-6351	230	7	and	and	CCONJ
ejpam-6351	230	8	modeling	modeling	NOUN
ejpam-6351	230	9	processes	process	NOUN
ejpam-6351	230	10	,	,	PUNCT
ejpam-6351	230	11	where	where	SCONJ
ejpam-6351	230	12	it	it	PRON
ejpam-6351	230	13	helps	help	VERB
ejpam-6351	230	14	evaluate	evaluate	VERB
ejpam-6351	230	15	the	the	DET
ejpam-6351	230	16	performance	performance	NOUN
ejpam-6351	230	17	of	of	ADP
ejpam-6351	230	18	iterative	iterative	ADJ
ejpam-6351	230	19	algorithms	algorithm	NOUN
ejpam-6351	230	20	.	.	PUNCT
ejpam-6351	231	1	in	in	ADP
ejpam-6351	231	2	addition	addition	NOUN
ejpam-6351	231	3	,	,	PUNCT
ejpam-6351	231	4	it	it	PRON
ejpam-6351	231	5	is	be	AUX
ejpam-6351	231	6	used	use	VERB
ejpam-6351	231	7	in	in	ADP
ejpam-6351	231	8	scientific	scientific	ADJ
ejpam-6351	231	9	research	research	NOUN
ejpam-6351	231	10	to	to	PART
ejpam-6351	231	11	determine	determine	VERB
ejpam-6351	231	12	the	the	DET
ejpam-6351	231	13	reliability	reliability	NOUN
ejpam-6351	231	14	of	of	ADP
ejpam-6351	231	15	the	the	DET
ejpam-6351	231	16	data	datum	NOUN
ejpam-6351	231	17	by	by	ADP
ejpam-6351	231	18	measuring	measure	VERB
ejpam-6351	231	19	the	the	DET
ejpam-6351	231	20	insignificance	insignificance	NOUN
ejpam-6351	231	21	of	of	ADP
ejpam-6351	231	22	the	the	DET
ejpam-6351	231	23	differences	difference	NOUN
ejpam-6351	231	24	between	between	ADP
ejpam-6351	231	25	the	the	DET
ejpam-6351	231	26	measurements	measurement	NOUN
ejpam-6351	231	27	.	.	PUNCT
ejpam-6351	232	1	this	this	PRON
ejpam-6351	232	2	improves	improve	VERB
ejpam-6351	232	3	the	the	DET
ejpam-6351	232	4	accuracy	accuracy	NOUN
ejpam-6351	232	5	and	and	CCONJ
ejpam-6351	232	6	reliability	reliability	NOUN
ejpam-6351	232	7	of	of	ADP
ejpam-6351	232	8	the	the	DET
ejpam-6351	232	9	results	result	NOUN
ejpam-6351	232	10	.	.	PUNCT
ejpam-6351	233	1	the	the	DET
ejpam-6351	233	2	mean	mean	ADJ
ejpam-6351	233	3	absolute	absolute	ADJ
ejpam-6351	233	4	error	error	NOUN
ejpam-6351	233	5	of	of	ADP
ejpam-6351	233	6	the	the	DET
ejpam-6351	233	7	approximation	approximation	NOUN
ejpam-6351	233	8	is	be	AUX
ejpam-6351	233	9	given	give	VERB
ejpam-6351	233	10	in	in	ADP
ejpam-6351	233	11	equation	equation	NOUN
ejpam-6351	233	12	(	(	PUNCT
ejpam-6351	233	13	2	2	X
ejpam-6351	233	14	)	)	PUNCT
ejpam-6351	233	15	maae	maae	NOUN
ejpam-6351	233	16	=	=	SYM
ejpam-6351	233	17	1	1	NUM
ejpam-6351	233	18	k	k	PROPN
ejpam-6351	233	19	k∑	k∑	PROPN
ejpam-6351	233	20	i=0	i=0	PROPN
ejpam-6351	233	21	|xi+1	|xi+1	PART
ejpam-6351	233	22	−	−	NOUN
ejpam-6351	233	23	xi	xi	X
ejpam-6351	233	24	xi+1	xi+1	PROPN
ejpam-6351	234	1	|	|	ADV
ejpam-6351	234	2	(	(	PUNCT
ejpam-6351	234	3	2	2	NUM
ejpam-6351	234	4	)	)	PUNCT
ejpam-6351	234	5	with	with	ADP
ejpam-6351	234	6	xi	xi	PROPN
ejpam-6351	234	7	:	:	PUNCT
ejpam-6351	234	8	approximate	approximate	ADJ
ejpam-6351	234	9	root	root	NOUN
ejpam-6351	234	10	obtained	obtain	VERB
ejpam-6351	234	11	in	in	ADP
ejpam-6351	234	12	step	step	NOUN
ejpam-6351	234	13	i	i	PRON
ejpam-6351	234	14	,	,	PUNCT
ejpam-6351	234	15	and	and	CCONJ
ejpam-6351	234	16	k	k	NOUN
ejpam-6351	234	17	:	:	PUNCT
ejpam-6351	234	18	number	number	NOUN
ejpam-6351	234	19	of	of	ADP
ejpam-6351	234	20	iterations	iteration	NOUN
ejpam-6351	234	21	with	with	ADP
ejpam-6351	234	22	minimum	minimum	NOUN
ejpam-6351	234	23	error	error	NOUN
ejpam-6351	234	24	.	.	PUNCT
ejpam-6351	235	1	throughout	throughout	ADP
ejpam-6351	235	2	this	this	DET
ejpam-6351	235	3	study	study	NOUN
ejpam-6351	235	4	,	,	PUNCT
ejpam-6351	235	5	while	while	SCONJ
ejpam-6351	235	6	calculating	calculate	VERB
ejpam-6351	235	7	the	the	DET
ejpam-6351	235	8	mean	mean	ADJ
ejpam-6351	235	9	absolute	absolute	ADJ
ejpam-6351	235	10	approximate	approximate	ADJ
ejpam-6351	235	11	error	error	NOUN
ejpam-6351	235	12	,	,	PUNCT
ejpam-6351	235	13	since	since	SCONJ
ejpam-6351	235	14	the	the	DET
ejpam-6351	235	15	root	root	NOUN
ejpam-6351	235	16	xi+1	xi+1	PROPN
ejpam-6351	235	17	in	in	ADP
ejpam-6351	235	18	the	the	DET
ejpam-6351	235	19	denominator	denominator	NOUN
ejpam-6351	235	20	of	of	ADP
ejpam-6351	235	21	equation	equation	NOUN
ejpam-6351	235	22	(	(	PUNCT
ejpam-6351	235	23	2	2	X
ejpam-6351	235	24	)	)	PUNCT
ejpam-6351	235	25	is	be	AUX
ejpam-6351	235	26	zero	zero	NUM
ejpam-6351	235	27	in	in	ADP
ejpam-6351	235	28	some	some	DET
ejpam-6351	235	29	cases	case	NOUN
ejpam-6351	235	30	,	,	PUNCT
ejpam-6351	235	31	this	this	DET
ejpam-6351	235	32	term	term	NOUN
ejpam-6351	235	33	will	will	AUX
ejpam-6351	235	34	be	be	AUX
ejpam-6351	235	35	ignored	ignore	VERB
ejpam-6351	235	36	in	in	ADP
ejpam-6351	235	37	order	order	NOUN
ejpam-6351	235	38	not	not	PART
ejpam-6351	235	39	to	to	PART
ejpam-6351	235	40	be	be	AUX
ejpam-6351	235	41	undefined	undefined	ADJ
ejpam-6351	235	42	,	,	PUNCT
ejpam-6351	235	43	and	and	CCONJ
ejpam-6351	235	44	the	the	DET
ejpam-6351	235	45	mean	mean	ADJ
ejpam-6351	235	46	absolute	absolute	ADJ
ejpam-6351	235	47	approximate	approximate	ADJ
ejpam-6351	235	48	error	error	NOUN
ejpam-6351	235	49	will	will	AUX
ejpam-6351	235	50	be	be	AUX
ejpam-6351	235	51	calculated	calculate	VERB
ejpam-6351	235	52	with	with	ADP
ejpam-6351	235	53	the	the	DET
ejpam-6351	235	54	formula	formula	NOUN
ejpam-6351	235	55	given	give	VERB
ejpam-6351	235	56	by	by	ADP
ejpam-6351	235	57	equation	equation	NOUN
ejpam-6351	235	58	(	(	PUNCT
ejpam-6351	235	59	3	3	NUM
ejpam-6351	235	60	)	)	PUNCT
ejpam-6351	235	61	,	,	PUNCT
ejpam-6351	235	62	given	give	VERB
ejpam-6351	235	63	in	in	ADP
ejpam-6351	235	64	[	[	X
ejpam-6351	235	65	22	22	NUM
ejpam-6351	235	66	]	]	PUNCT
ejpam-6351	235	67	.	.	PUNCT
ejpam-6351	236	1	maae	maae	NOUN
ejpam-6351	236	2	=	=	SYM
ejpam-6351	236	3	1	1	NUM
ejpam-6351	236	4	k	k	PROPN
ejpam-6351	236	5	k∑	k∑	PROPN
ejpam-6351	236	6	i=0	i=0	PROPN
ejpam-6351	236	7	|xi+1	|xi+1	PART
ejpam-6351	236	8	−	−	NOUN
ejpam-6351	236	9	xi|	xi|	PROPN
ejpam-6351	236	10	.	.	PUNCT
ejpam-6351	237	1	(	(	PUNCT
ejpam-6351	237	2	3	3	X
ejpam-6351	237	3	)	)	PUNCT
ejpam-6351	237	4	3.3	3.3	NUM
ejpam-6351	237	5	.	.	PUNCT
ejpam-6351	238	1	analysis	analysis	NOUN
ejpam-6351	238	2	and	and	CCONJ
ejpam-6351	238	3	comparison	comparison	NOUN
ejpam-6351	238	4	since	since	SCONJ
ejpam-6351	238	5	it	it	PRON
ejpam-6351	238	6	is	be	AUX
ejpam-6351	238	7	necessary	necessary	ADJ
ejpam-6351	238	8	to	to	PART
ejpam-6351	238	9	consider	consider	VERB
ejpam-6351	238	10	both	both	DET
ejpam-6351	238	11	error	error	NOUN
ejpam-6351	238	12	magnitudes	magnitude	NOUN
ejpam-6351	238	13	and	and	CCONJ
ejpam-6351	238	14	error	error	NOUN
ejpam-6351	238	15	reduction	reduction	NOUN
ejpam-6351	238	16	rates	rate	NOUN
ejpam-6351	238	17	when	when	SCONJ
ejpam-6351	238	18	evaluating	evaluate	VERB
ejpam-6351	238	19	the	the	DET
ejpam-6351	238	20	effectiveness	effectiveness	NOUN
ejpam-6351	238	21	of	of	ADP
ejpam-6351	238	22	the	the	DET
ejpam-6351	238	23	algorithm	algorithm	NOUN
ejpam-6351	238	24	,	,	PUNCT
ejpam-6351	238	25	especially	especially	ADV
ejpam-6351	238	26	for	for	ADP
ejpam-6351	238	27	complex	complex	ADJ
ejpam-6351	238	28	problems	problem	NOUN
ejpam-6351	238	29	and	and	CCONJ
ejpam-6351	238	30	large	large	ADJ
ejpam-6351	238	31	data	datum	NOUN
ejpam-6351	238	32	sets	set	NOUN
ejpam-6351	238	33	,	,	PUNCT
ejpam-6351	238	34	simulations	simulation	NOUN
ejpam-6351	238	35	are	be	AUX
ejpam-6351	238	36	performed	perform	VERB
ejpam-6351	238	37	for	for	ADP
ejpam-6351	238	38	the	the	DET
ejpam-6351	238	39	test	test	NOUN
ejpam-6351	238	40	functions	function	NOUN
ejpam-6351	238	41	selected	select	VERB
ejpam-6351	238	42	here	here	ADV
ejpam-6351	238	43	.	.	PUNCT
ejpam-6351	239	1	an	an	DET
ejpam-6351	239	2	efficient	efficient	ADJ
ejpam-6351	239	3	algorithm	algorithm	NOUN
ejpam-6351	239	4	is	be	AUX
ejpam-6351	239	5	compared	compare	VERB
ejpam-6351	239	6	with	with	ADP
ejpam-6351	239	7	the	the	DET
ejpam-6351	239	8	test	test	NOUN
ejpam-6351	239	9	set	set	VERB
ejpam-6351	239	10	with	with	ADP
ejpam-6351	239	11	the	the	DET
ejpam-6351	239	12	values	value	NOUN
ejpam-6351	239	13	produced	produce	VERB
ejpam-6351	239	14	by	by	ADP
ejpam-6351	239	15	acceptable	acceptable	ADJ
ejpam-6351	239	16	and	and	CCONJ
ejpam-6351	239	17	evaluated	evaluate	VERB
ejpam-6351	239	18	with	with	ADP
ejpam-6351	239	19	the	the	DET
ejpam-6351	239	20	performance	performance	NOUN
ejpam-6351	239	21	metrics	metric	NOUN
ejpam-6351	239	22	mean	mean	VERB
ejpam-6351	239	23	absolute	absolute	ADJ
ejpam-6351	239	24	error	error	NOUN
ejpam-6351	239	25	(	(	PUNCT
ejpam-6351	239	26	mae	mae	PROPN
ejpam-6351	239	27	)	)	PUNCT
ejpam-6351	239	28	and	and	CCONJ
ejpam-6351	239	29	mean	mean	VERB
ejpam-6351	239	30	absolute	absolute	ADJ
ejpam-6351	239	31	approximation	approximation	NOUN
ejpam-6351	239	32	error	error	NOUN
ejpam-6351	239	33	(	(	PUNCT
ejpam-6351	239	34	maae	maae	NOUN
ejpam-6351	239	35	)	)	PUNCT
ejpam-6351	239	36	.	.	PUNCT
ejpam-6351	240	1	since	since	SCONJ
ejpam-6351	240	2	it	it	PRON
ejpam-6351	240	3	is	be	AUX
ejpam-6351	240	4	expected	expect	VERB
ejpam-6351	240	5	to	to	PART
ejpam-6351	240	6	reach	reach	VERB
ejpam-6351	240	7	a	a	DET
ejpam-6351	240	8	level	level	NOUN
ejpam-6351	240	9	of	of	ADP
ejpam-6351	240	10	precision	precision	NOUN
ejpam-6351	240	11	using	use	VERB
ejpam-6351	240	12	a	a	DET
ejpam-6351	240	13	b.	b.	PROPN
ejpam-6351	240	14	köse	köse	NOUN
ejpam-6351	240	15	,	,	PUNCT
ejpam-6351	240	16	b.	b.	PROPN
ejpam-6351	240	17	demirtürk	demirtürk	PROPN
ejpam-6351	240	18	,	,	PUNCT
ejpam-6351	240	19	ş.	ş.	PROPN
ejpam-6351	240	20	konca	konca	PROPN
ejpam-6351	240	21	/	/	SYM
ejpam-6351	240	22	eur	eur	PROPN
ejpam-6351	240	23	.	.	PUNCT
ejpam-6351	241	1	j.	j.	PROPN
ejpam-6351	241	2	pure	pure	PROPN
ejpam-6351	241	3	appl	appl	PROPN
ejpam-6351	241	4	.	.	PROPN
ejpam-6351	241	5	math	math	PROPN
ejpam-6351	241	6	,	,	PUNCT
ejpam-6351	241	7	18	18	NUM
ejpam-6351	241	8	(	(	PUNCT
ejpam-6351	241	9	3	3	NUM
ejpam-6351	241	10	)	)	PUNCT
ejpam-6351	241	11	(	(	PUNCT
ejpam-6351	241	12	2025	2025	NUM
ejpam-6351	241	13	)	)	PUNCT
ejpam-6351	241	14	,	,	PUNCT
ejpam-6351	241	15	6351	6351	NUM
ejpam-6351	241	16	18	18	NUM
ejpam-6351	241	17	of	of	ADP
ejpam-6351	241	18	22	22	NUM
ejpam-6351	241	19	minimum	minimum	NOUN
ejpam-6351	241	20	of	of	ADP
ejpam-6351	241	21	iterations	iteration	NOUN
ejpam-6351	241	22	and	and	CCONJ
ejpam-6351	241	23	computational	computational	ADJ
ejpam-6351	241	24	resources	resource	NOUN
ejpam-6351	241	25	,	,	PUNCT
ejpam-6351	241	26	the	the	DET
ejpam-6351	241	27	following	follow	VERB
ejpam-6351	241	28	evaluations	evaluation	NOUN
ejpam-6351	241	29	are	be	AUX
ejpam-6351	241	30	made	make	VERB
ejpam-6351	241	31	with	with	ADP
ejpam-6351	241	32	the	the	DET
ejpam-6351	241	33	performance	performance	NOUN
ejpam-6351	241	34	metrics	metric	NOUN
ejpam-6351	241	35	of	of	ADP
ejpam-6351	241	36	the	the	DET
ejpam-6351	241	37	algorithms	algorithm	NOUN
ejpam-6351	241	38	’	'	PUNCT
ejpam-6351	241	39	estimates	estimate	NOUN
ejpam-6351	241	40	.	.	PUNCT
ejpam-6351	242	1	the	the	DET
ejpam-6351	242	2	rate	rate	NOUN
ejpam-6351	242	3	of	of	ADP
ejpam-6351	242	4	convergence	convergence	NOUN
ejpam-6351	242	5	to	to	ADP
ejpam-6351	242	6	the	the	DET
ejpam-6351	242	7	minimum	minimum	ADJ
ejpam-6351	242	8	value	value	NOUN
ejpam-6351	242	9	,	,	PUNCT
ejpam-6351	242	10	optimum	optimum	ADJ
ejpam-6351	242	11	points	point	NOUN
ejpam-6351	242	12	and	and	CCONJ
ejpam-6351	242	13	global	global	ADJ
ejpam-6351	242	14	minimum	minimum	ADJ
ejpam-6351	242	15	values	value	NOUN
ejpam-6351	242	16	of	of	ADP
ejpam-6351	242	17	the	the	DET
ejpam-6351	242	18	nonlinear	nonlinear	ADJ
ejpam-6351	242	19	test	test	NOUN
ejpam-6351	242	20	functions	function	NOUN
ejpam-6351	242	21	used	use	VERB
ejpam-6351	242	22	in	in	ADP
ejpam-6351	242	23	the	the	DET
ejpam-6351	242	24	test	test	NOUN
ejpam-6351	242	25	phase	phase	NOUN
ejpam-6351	242	26	are	be	AUX
ejpam-6351	242	27	given	give	VERB
ejpam-6351	242	28	in	in	ADP
ejpam-6351	242	29	the	the	DET
ejpam-6351	242	30	table	table	NOUN
ejpam-6351	242	31	below	below	ADV
ejpam-6351	242	32	,	,	PUNCT
ejpam-6351	242	33	and	and	CCONJ
ejpam-6351	242	34	absolute	absolute	ADJ
ejpam-6351	242	35	errors	error	NOUN
ejpam-6351	242	36	are	be	AUX
ejpam-6351	242	37	calculated	calculate	VERB
ejpam-6351	242	38	.	.	PUNCT
ejpam-6351	243	1	table	table	NOUN
ejpam-6351	243	2	1	1	NUM
ejpam-6351	243	3	:	:	PUNCT
ejpam-6351	243	4	statistics	statistic	NOUN
ejpam-6351	243	5	of	of	ADP
ejpam-6351	243	6	the	the	DET
ejpam-6351	243	7	test	test	NOUN
ejpam-6351	243	8	functions	function	NOUN
ejpam-6351	243	9	in	in	ADP
ejpam-6351	243	10	table	table	NOUN
ejpam-6351	243	11	1	1	NUM
ejpam-6351	243	12	,	,	PUNCT
ejpam-6351	243	13	i	i	PRON
ejpam-6351	243	14	is	be	AUX
ejpam-6351	243	15	the	the	DET
ejpam-6351	243	16	number	number	NOUN
ejpam-6351	243	17	of	of	ADP
ejpam-6351	243	18	iterations	iteration	NOUN
ejpam-6351	243	19	,	,	PUNCT
ejpam-6351	243	20	fi	fi	NOUN
ejpam-6351	243	21	are	be	AUX
ejpam-6351	243	22	the	the	DET
ejpam-6351	243	23	test	test	NOUN
ejpam-6351	243	24	functions	function	NOUN
ejpam-6351	243	25	for1	for1	VERB
ejpam-6351	243	26	≤	≤	NUM
ejpam-6351	243	27	i	i	PRON
ejpam-6351	243	28	≤	≤	PROPN
ejpam-6351	243	29	n	n	CCONJ
ejpam-6351	243	30	,	,	PUNCT
ejpam-6351	243	31	xfi	xfi	PROPN
ejpam-6351	243	32	b.	b.	PROPN
ejpam-6351	243	33	köse	köse	PROPN
ejpam-6351	243	34	,	,	PUNCT
ejpam-6351	243	35	b.	b.	PROPN
ejpam-6351	243	36	demirtürk	demirtürk	PROPN
ejpam-6351	243	37	,	,	PUNCT
ejpam-6351	243	38	ş.	ş.	PROPN
ejpam-6351	243	39	konca	konca	PROPN
ejpam-6351	243	40	/	/	SYM
ejpam-6351	243	41	eur	eur	PROPN
ejpam-6351	243	42	.	.	PUNCT
ejpam-6351	244	1	j.	j.	PROPN
ejpam-6351	244	2	pure	pure	PROPN
ejpam-6351	244	3	appl	appl	PROPN
ejpam-6351	244	4	.	.	PROPN
ejpam-6351	244	5	math	math	PROPN
ejpam-6351	244	6	,	,	PUNCT
ejpam-6351	244	7	18	18	NUM
ejpam-6351	244	8	(	(	PUNCT
ejpam-6351	244	9	3	3	NUM
ejpam-6351	244	10	)	)	PUNCT
ejpam-6351	244	11	(	(	PUNCT
ejpam-6351	244	12	2025	2025	NUM
ejpam-6351	244	13	)	)	PUNCT
ejpam-6351	244	14	,	,	PUNCT
ejpam-6351	244	15	6351	6351	NUM
ejpam-6351	244	16	19	19	NUM
ejpam-6351	244	17	of	of	ADP
ejpam-6351	244	18	22	22	NUM
ejpam-6351	244	19	are	be	AUX
ejpam-6351	244	20	the	the	DET
ejpam-6351	244	21	true	true	ADJ
ejpam-6351	244	22	roots	root	NOUN
ejpam-6351	244	23	of	of	ADP
ejpam-6351	244	24	the	the	DET
ejpam-6351	244	25	fi	fi	NOUN
ejpam-6351	244	26	functions	function	NOUN
ejpam-6351	244	27	,	,	PUNCT
ejpam-6351	244	28	optxfi	optxfi	PROPN
ejpam-6351	244	29	are	be	AUX
ejpam-6351	244	30	the	the	DET
ejpam-6351	244	31	optimal	optimal	ADJ
ejpam-6351	244	32	points	point	NOUN
ejpam-6351	244	33	of	of	ADP
ejpam-6351	244	34	the	the	DET
ejpam-6351	244	35	fi	fi	NOUN
ejpam-6351	244	36	functions	function	NOUN
ejpam-6351	244	37	and	and	CCONJ
ejpam-6351	244	38	optyfi	optyfi	NOUN
ejpam-6351	244	39	are	be	AUX
ejpam-6351	244	40	the	the	DET
ejpam-6351	244	41	optimal	optimal	ADJ
ejpam-6351	244	42	values	value	NOUN
ejpam-6351	244	43	of	of	ADP
ejpam-6351	244	44	the	the	DET
ejpam-6351	244	45	fi	fi	NOUN
ejpam-6351	244	46	functions	function	NOUN
ejpam-6351	244	47	.	.	PUNCT
ejpam-6351	245	1	in	in	ADP
ejpam-6351	245	2	table	table	NOUN
ejpam-6351	245	3	1	1	NUM
ejpam-6351	245	4	,	,	PUNCT
ejpam-6351	245	5	various	various	ADJ
ejpam-6351	245	6	statistics	statistic	NOUN
ejpam-6351	245	7	such	such	ADJ
ejpam-6351	245	8	as	as	ADP
ejpam-6351	245	9	best	good	ADJ
ejpam-6351	245	10	solution	solution	NOUN
ejpam-6351	245	11	,	,	PUNCT
ejpam-6351	245	12	optimum	optimum	ADJ
ejpam-6351	245	13	solution	solution	NOUN
ejpam-6351	245	14	,	,	PUNCT
ejpam-6351	245	15	absolute	absolute	ADJ
ejpam-6351	245	16	error	error	NOUN
ejpam-6351	245	17	,	,	PUNCT
ejpam-6351	245	18	average	average	ADJ
ejpam-6351	245	19	absolute	absolute	ADJ
ejpam-6351	245	20	error	error	NOUN
ejpam-6351	245	21	,	,	PUNCT
ejpam-6351	245	22	average	average	ADJ
ejpam-6351	245	23	absolute	absolute	ADJ
ejpam-6351	245	24	error	error	NOUN
ejpam-6351	245	25	,	,	PUNCT
ejpam-6351	245	26	average	average	ADJ
ejpam-6351	245	27	absolute	absolute	ADJ
ejpam-6351	245	28	approximation	approximation	NOUN
ejpam-6351	245	29	error	error	NOUN
ejpam-6351	245	30	,	,	PUNCT
ejpam-6351	245	31	average	average	ADJ
ejpam-6351	245	32	absolute	absolute	ADJ
ejpam-6351	245	33	error	error	NOUN
ejpam-6351	245	34	depending	depend	VERB
ejpam-6351	245	35	on	on	ADP
ejpam-6351	245	36	the	the	DET
ejpam-6351	245	37	number	number	NOUN
ejpam-6351	245	38	of	of	ADP
ejpam-6351	245	39	iterations	iteration	NOUN
ejpam-6351	245	40	and	and	CCONJ
ejpam-6351	245	41	average	average	ADJ
ejpam-6351	245	42	absolute	absolute	ADJ
ejpam-6351	245	43	approximation	approximation	NOUN
ejpam-6351	245	44	error	error	NOUN
ejpam-6351	245	45	depending	depend	VERB
ejpam-6351	245	46	on	on	ADP
ejpam-6351	245	47	the	the	DET
ejpam-6351	245	48	number	number	NOUN
ejpam-6351	245	49	of	of	ADP
ejpam-6351	245	50	iterations	iteration	NOUN
ejpam-6351	245	51	are	be	AUX
ejpam-6351	245	52	presented	present	VERB
ejpam-6351	245	53	for	for	ADP
ejpam-6351	245	54	the	the	DET
ejpam-6351	245	55	bm	bm	PROPN
ejpam-6351	245	56	,	,	PUNCT
ejpam-6351	245	57	gr	gr	PRON
ejpam-6351	245	58	and	and	CCONJ
ejpam-6351	245	59	fib	fib	ADJ
ejpam-6351	245	60	algorithms	algorithm	NOUN
ejpam-6351	245	61	.	.	PUNCT
ejpam-6351	246	1	for	for	ADP
ejpam-6351	246	2	the	the	DET
ejpam-6351	246	3	function	function	NOUN
ejpam-6351	246	4	f1	f1	NOUN
ejpam-6351	246	5	,	,	PUNCT
ejpam-6351	246	6	the	the	DET
ejpam-6351	246	7	bm	bm	PROPN
ejpam-6351	246	8	achieves	achieve	VERB
ejpam-6351	246	9	the	the	DET
ejpam-6351	246	10	lowest	low	ADJ
ejpam-6351	246	11	absolute	absolute	ADJ
ejpam-6351	246	12	error	error	NOUN
ejpam-6351	246	13	value	value	NOUN
ejpam-6351	246	14	(	(	PUNCT
ejpam-6351	246	15	0.00008	0.00008	NUM
ejpam-6351	246	16	)	)	PUNCT
ejpam-6351	246	17	with	with	ADP
ejpam-6351	246	18	the	the	DET
ejpam-6351	246	19	least	least	ADJ
ejpam-6351	246	20	number	number	NOUN
ejpam-6351	246	21	of	of	ADP
ejpam-6351	246	22	iterations	iteration	NOUN
ejpam-6351	246	23	(	(	PUNCT
ejpam-6351	246	24	7	7	NUM
ejpam-6351	246	25	iterations	iteration	NOUN
ejpam-6351	246	26	)	)	PUNCT
ejpam-6351	246	27	,	,	PUNCT
ejpam-6351	246	28	while	while	SCONJ
ejpam-6351	246	29	the	the	DET
ejpam-6351	246	30	gr	gr	NOUN
ejpam-6351	246	31	method	method	NOUN
ejpam-6351	246	32	has	have	VERB
ejpam-6351	246	33	the	the	DET
ejpam-6351	246	34	lowest	low	ADJ
ejpam-6351	246	35	average	average	ADJ
ejpam-6351	246	36	absolute	absolute	ADJ
ejpam-6351	246	37	error	error	NOUN
ejpam-6351	246	38	(	(	PUNCT
ejpam-6351	246	39	0.0208	0.0208	NUM
ejpam-6351	246	40	)	)	PUNCT
ejpam-6351	246	41	,	,	PUNCT
ejpam-6351	246	42	while	while	SCONJ
ejpam-6351	246	43	the	the	DET
ejpam-6351	246	44	fib	fib	NOUN
ejpam-6351	246	45	method	method	NOUN
ejpam-6351	246	46	has	have	VERB
ejpam-6351	246	47	an	an	DET
ejpam-6351	246	48	intermediate	intermediate	ADJ
ejpam-6351	246	49	performance	performance	NOUN
ejpam-6351	246	50	(	(	PUNCT
ejpam-6351	246	51	0.0604	0.0604	NUM
ejpam-6351	246	52	)	)	PUNCT
ejpam-6351	246	53	.	.	PUNCT
ejpam-6351	247	1	in	in	ADP
ejpam-6351	247	2	this	this	DET
ejpam-6351	247	3	case	case	NOUN
ejpam-6351	247	4	,	,	PUNCT
ejpam-6351	247	5	considering	consider	VERB
ejpam-6351	247	6	the	the	DET
ejpam-6351	247	7	number	number	NOUN
ejpam-6351	247	8	of	of	ADP
ejpam-6351	247	9	iterations	iteration	NOUN
ejpam-6351	247	10	and	and	CCONJ
ejpam-6351	247	11	the	the	DET
ejpam-6351	247	12	average	average	ADJ
ejpam-6351	247	13	absolute	absolute	ADJ
ejpam-6351	247	14	error	error	NOUN
ejpam-6351	247	15	,	,	PUNCT
ejpam-6351	247	16	it	it	PRON
ejpam-6351	247	17	is	be	AUX
ejpam-6351	247	18	shown	show	VERB
ejpam-6351	247	19	that	that	SCONJ
ejpam-6351	247	20	the	the	DET
ejpam-6351	247	21	bm	bm	PROPN
ejpam-6351	247	22	can	can	AUX
ejpam-6351	247	23	produce	produce	VERB
ejpam-6351	247	24	faster	fast	ADV
ejpam-6351	247	25	and	and	CCONJ
ejpam-6351	247	26	more	more	ADV
ejpam-6351	247	27	accurate	accurate	ADJ
ejpam-6351	247	28	results	result	NOUN
ejpam-6351	247	29	.	.	PUNCT
ejpam-6351	248	1	again	again	ADV
ejpam-6351	248	2	,	,	PUNCT
ejpam-6351	248	3	when	when	SCONJ
ejpam-6351	248	4	the	the	DET
ejpam-6351	248	5	average	average	ADJ
ejpam-6351	248	6	absolute	absolute	ADJ
ejpam-6351	248	7	errors	error	NOUN
ejpam-6351	248	8	depending	depend	VERB
ejpam-6351	248	9	on	on	ADP
ejpam-6351	248	10	the	the	DET
ejpam-6351	248	11	number	number	NOUN
ejpam-6351	248	12	of	of	ADP
ejpam-6351	248	13	iterations	iteration	NOUN
ejpam-6351	248	14	of	of	ADP
ejpam-6351	248	15	the	the	DET
ejpam-6351	248	16	function	function	NOUN
ejpam-6351	248	17	f1	f1	NOUN
ejpam-6351	248	18	are	be	AUX
ejpam-6351	248	19	compared	compare	VERB
ejpam-6351	248	20	,	,	PUNCT
ejpam-6351	248	21	it	it	PRON
ejpam-6351	248	22	is	be	AUX
ejpam-6351	248	23	seen	see	VERB
ejpam-6351	248	24	that	that	SCONJ
ejpam-6351	248	25	the	the	DET
ejpam-6351	248	26	gr	gr	NOUN
ejpam-6351	248	27	method	method	NOUN
ejpam-6351	248	28	produces	produce	VERB
ejpam-6351	248	29	more	more	ADV
ejpam-6351	248	30	precise	precise	ADJ
ejpam-6351	248	31	results	result	NOUN
ejpam-6351	248	32	.	.	PUNCT
ejpam-6351	249	1	when	when	SCONJ
ejpam-6351	249	2	the	the	DET
ejpam-6351	249	3	average	average	ADJ
ejpam-6351	249	4	absolute	absolute	ADJ
ejpam-6351	249	5	approximation	approximation	NOUN
ejpam-6351	249	6	errors	error	NOUN
ejpam-6351	249	7	are	be	AUX
ejpam-6351	249	8	considered	consider	VERB
ejpam-6351	249	9	,	,	PUNCT
ejpam-6351	249	10	it	it	PRON
ejpam-6351	249	11	is	be	AUX
ejpam-6351	249	12	seen	see	VERB
ejpam-6351	249	13	that	that	SCONJ
ejpam-6351	249	14	the	the	DET
ejpam-6351	249	15	gr	gr	NOUN
ejpam-6351	249	16	method	method	NOUN
ejpam-6351	249	17	gives	give	VERB
ejpam-6351	249	18	the	the	DET
ejpam-6351	249	19	most	most	ADV
ejpam-6351	249	20	successful	successful	ADJ
ejpam-6351	249	21	result	result	NOUN
ejpam-6351	249	22	.	.	PUNCT
ejpam-6351	250	1	it	it	PRON
ejpam-6351	250	2	is	be	AUX
ejpam-6351	250	3	also	also	ADV
ejpam-6351	250	4	seen	see	VERB
ejpam-6351	250	5	that	that	SCONJ
ejpam-6351	250	6	the	the	DET
ejpam-6351	250	7	fib	fib	NOUN
ejpam-6351	250	8	method	method	NOUN
ejpam-6351	250	9	gives	give	VERB
ejpam-6351	250	10	more	more	ADV
ejpam-6351	250	11	precise	precise	ADJ
ejpam-6351	250	12	results	result	NOUN
ejpam-6351	250	13	in	in	ADP
ejpam-6351	250	14	the	the	DET
ejpam-6351	250	15	relative	relative	ADJ
ejpam-6351	250	16	average	average	ADJ
ejpam-6351	250	17	absolute	absolute	ADJ
ejpam-6351	250	18	approximation	approximation	NOUN
ejpam-6351	250	19	error	error	NOUN
ejpam-6351	250	20	according	accord	VERB
ejpam-6351	250	21	to	to	ADP
ejpam-6351	250	22	the	the	DET
ejpam-6351	250	23	number	number	NOUN
ejpam-6351	250	24	of	of	ADP
ejpam-6351	250	25	iterations	iteration	NOUN
ejpam-6351	250	26	.	.	PUNCT
ejpam-6351	251	1	for	for	ADP
ejpam-6351	251	2	the	the	DET
ejpam-6351	251	3	function	function	NOUN
ejpam-6351	251	4	f2	f2	PROPN
ejpam-6351	251	5	,	,	PUNCT
ejpam-6351	251	6	the	the	DET
ejpam-6351	251	7	gr	gr	NOUN
ejpam-6351	251	8	method	method	NOUN
ejpam-6351	251	9	has	have	VERB
ejpam-6351	251	10	the	the	DET
ejpam-6351	251	11	highest	high	ADJ
ejpam-6351	251	12	average	average	ADJ
ejpam-6351	251	13	absolute	absolute	ADJ
ejpam-6351	251	14	error	error	NOUN
ejpam-6351	251	15	(	(	PUNCT
ejpam-6351	251	16	2.3053	2.3053	NUM
ejpam-6351	251	17	)	)	PUNCT
ejpam-6351	251	18	,	,	PUNCT
ejpam-6351	251	19	while	while	SCONJ
ejpam-6351	251	20	the	the	DET
ejpam-6351	251	21	bm	bm	PROPN
ejpam-6351	251	22	performed	perform	VERB
ejpam-6351	251	23	better	well	ADV
ejpam-6351	251	24	with	with	ADP
ejpam-6351	251	25	the	the	DET
ejpam-6351	251	26	fewest	few	ADJ
ejpam-6351	251	27	iterations	iteration	NOUN
ejpam-6351	251	28	and	and	CCONJ
ejpam-6351	251	29	the	the	DET
ejpam-6351	251	30	lowest	low	ADJ
ejpam-6351	251	31	average	average	ADJ
ejpam-6351	251	32	absolute	absolute	ADJ
ejpam-6351	251	33	error	error	NOUN
ejpam-6351	251	34	(	(	PUNCT
ejpam-6351	251	35	0.2249	0.2249	NUM
ejpam-6351	251	36	)	)	PUNCT
ejpam-6351	251	37	.	.	PUNCT
ejpam-6351	252	1	when	when	SCONJ
ejpam-6351	252	2	the	the	DET
ejpam-6351	252	3	average	average	ADJ
ejpam-6351	252	4	absolute	absolute	ADJ
ejpam-6351	252	5	approximation	approximation	NOUN
ejpam-6351	252	6	errors	error	NOUN
ejpam-6351	252	7	were	be	AUX
ejpam-6351	252	8	considered	consider	VERB
ejpam-6351	252	9	,	,	PUNCT
ejpam-6351	252	10	the	the	DET
ejpam-6351	252	11	gr	gr	NOUN
ejpam-6351	252	12	method	method	NOUN
ejpam-6351	252	13	achieved	achieve	VERB
ejpam-6351	252	14	the	the	DET
ejpam-6351	252	15	most	most	ADV
ejpam-6351	252	16	accurate	accurate	ADJ
ejpam-6351	252	17	result	result	NOUN
ejpam-6351	252	18	.	.	PUNCT
ejpam-6351	253	1	while	while	SCONJ
ejpam-6351	253	2	the	the	DET
ejpam-6351	253	3	average	average	ADJ
ejpam-6351	253	4	absolute	absolute	ADJ
ejpam-6351	253	5	error	error	NOUN
ejpam-6351	253	6	depending	depend	VERB
ejpam-6351	253	7	on	on	ADP
ejpam-6351	253	8	the	the	DET
ejpam-6351	253	9	number	number	NOUN
ejpam-6351	253	10	of	of	ADP
ejpam-6351	253	11	iterations	iteration	NOUN
ejpam-6351	253	12	reached	reach	VERB
ejpam-6351	253	13	the	the	DET
ejpam-6351	253	14	most	most	ADV
ejpam-6351	253	15	successful	successful	ADJ
ejpam-6351	253	16	result	result	NOUN
ejpam-6351	253	17	with	with	ADP
ejpam-6351	253	18	bm	bm	PROPN
ejpam-6351	253	19	,	,	PUNCT
ejpam-6351	253	20	the	the	DET
ejpam-6351	253	21	average	average	ADJ
ejpam-6351	253	22	absolute	absolute	ADJ
ejpam-6351	253	23	approximation	approximation	NOUN
ejpam-6351	253	24	error	error	NOUN
ejpam-6351	253	25	depending	depend	VERB
ejpam-6351	253	26	on	on	ADP
ejpam-6351	253	27	the	the	DET
ejpam-6351	253	28	number	number	NOUN
ejpam-6351	253	29	of	of	ADP
ejpam-6351	253	30	iterations	iteration	NOUN
ejpam-6351	253	31	reached	reach	VERB
ejpam-6351	253	32	the	the	DET
ejpam-6351	253	33	most	most	ADV
ejpam-6351	253	34	precise	precise	ADJ
ejpam-6351	253	35	value	value	NOUN
ejpam-6351	253	36	with	with	ADP
ejpam-6351	253	37	the	the	DET
ejpam-6351	253	38	fib	fib	NOUN
ejpam-6351	253	39	method	method	NOUN
ejpam-6351	253	40	.	.	PUNCT
ejpam-6351	254	1	this	this	PRON
ejpam-6351	254	2	shows	show	VERB
ejpam-6351	254	3	that	that	SCONJ
ejpam-6351	254	4	the	the	DET
ejpam-6351	254	5	performance	performance	NOUN
ejpam-6351	254	6	of	of	ADP
ejpam-6351	254	7	the	the	DET
ejpam-6351	254	8	algorithms	algorithm	NOUN
ejpam-6351	254	9	may	may	AUX
ejpam-6351	254	10	vary	vary	VERB
ejpam-6351	254	11	according	accord	VERB
ejpam-6351	254	12	to	to	ADP
ejpam-6351	254	13	different	different	ADJ
ejpam-6351	254	14	types	type	NOUN
ejpam-6351	254	15	of	of	ADP
ejpam-6351	254	16	functions	function	NOUN
ejpam-6351	254	17	.	.	PUNCT
ejpam-6351	255	1	in	in	ADP
ejpam-6351	255	2	the	the	DET
ejpam-6351	255	3	tests	test	NOUN
ejpam-6351	255	4	performed	perform	VERB
ejpam-6351	255	5	on	on	ADP
ejpam-6351	255	6	the	the	DET
ejpam-6351	255	7	function	function	NOUN
ejpam-6351	255	8	f3	f3	NOUN
ejpam-6351	255	9	,	,	PUNCT
ejpam-6351	255	10	the	the	DET
ejpam-6351	255	11	gr	gr	NOUN
ejpam-6351	255	12	method	method	NOUN
ejpam-6351	255	13	stood	stand	VERB
ejpam-6351	255	14	out	out	ADP
ejpam-6351	255	15	with	with	ADP
ejpam-6351	255	16	the	the	DET
ejpam-6351	255	17	lowest	low	ADJ
ejpam-6351	255	18	value	value	NOUN
ejpam-6351	255	19	of	of	ADP
ejpam-6351	255	20	the	the	DET
ejpam-6351	255	21	mean	mean	ADJ
ejpam-6351	255	22	absolute	absolute	ADJ
ejpam-6351	255	23	error	error	NOUN
ejpam-6351	255	24	(	(	PUNCT
ejpam-6351	255	25	0.0099	0.0099	NUM
ejpam-6351	255	26	)	)	PUNCT
ejpam-6351	255	27	and	and	CCONJ
ejpam-6351	255	28	the	the	DET
ejpam-6351	255	29	mean	mean	ADJ
ejpam-6351	255	30	absolute	absolute	ADJ
ejpam-6351	255	31	approximation	approximation	NOUN
ejpam-6351	255	32	error	error	NOUN
ejpam-6351	255	33	value	value	NOUN
ejpam-6351	255	34	(	(	PUNCT
ejpam-6351	255	35	0.0015	0.0015	NUM
ejpam-6351	255	36	)	)	PUNCT
ejpam-6351	255	37	with	with	ADP
ejpam-6351	255	38	20	20	NUM
ejpam-6351	255	39	iterations	iteration	NOUN
ejpam-6351	255	40	,	,	PUNCT
ejpam-6351	255	41	while	while	SCONJ
ejpam-6351	255	42	the	the	DET
ejpam-6351	255	43	fib	fib	NOUN
ejpam-6351	255	44	method	method	NOUN
ejpam-6351	255	45	showed	show	VERB
ejpam-6351	255	46	average	average	ADJ
ejpam-6351	255	47	performance	performance	NOUN
ejpam-6351	255	48	in	in	ADP
ejpam-6351	255	49	the	the	DET
ejpam-6351	255	50	calculations	calculation	NOUN
ejpam-6351	255	51	of	of	ADP
ejpam-6351	255	52	the	the	DET
ejpam-6351	255	53	mean	mean	ADJ
ejpam-6351	255	54	absolute	absolute	ADJ
ejpam-6351	255	55	error	error	NOUN
ejpam-6351	255	56	and	and	CCONJ
ejpam-6351	255	57	the	the	DET
ejpam-6351	255	58	mean	mean	ADJ
ejpam-6351	255	59	absolute	absolute	ADJ
ejpam-6351	255	60	approximation	approximation	NOUN
ejpam-6351	255	61	error	error	NOUN
ejpam-6351	255	62	with	with	ADP
ejpam-6351	255	63	15	15	NUM
ejpam-6351	255	64	iterations	iteration	NOUN
ejpam-6351	255	65	.	.	PUNCT
ejpam-6351	256	1	in	in	ADP
ejpam-6351	256	2	the	the	DET
ejpam-6351	256	3	calculation	calculation	NOUN
ejpam-6351	256	4	of	of	ADP
ejpam-6351	256	5	the	the	DET
ejpam-6351	256	6	average	average	ADJ
ejpam-6351	256	7	absolute	absolute	ADJ
ejpam-6351	256	8	error	error	NOUN
ejpam-6351	256	9	according	accord	VERB
ejpam-6351	256	10	to	to	ADP
ejpam-6351	256	11	the	the	DET
ejpam-6351	256	12	number	number	NOUN
ejpam-6351	256	13	of	of	ADP
ejpam-6351	256	14	iterations	iteration	NOUN
ejpam-6351	256	15	,	,	PUNCT
ejpam-6351	256	16	gr	gr	NOUN
ejpam-6351	256	17	again	again	ADV
ejpam-6351	256	18	stood	stand	VERB
ejpam-6351	256	19	out	out	ADP
ejpam-6351	256	20	as	as	ADP
ejpam-6351	256	21	a	a	DET
ejpam-6351	256	22	successful	successful	ADJ
ejpam-6351	256	23	method	method	NOUN
ejpam-6351	256	24	,	,	PUNCT
ejpam-6351	256	25	while	while	SCONJ
ejpam-6351	256	26	the	the	DET
ejpam-6351	256	27	fib	fib	NOUN
ejpam-6351	256	28	method	method	NOUN
ejpam-6351	256	29	again	again	ADV
ejpam-6351	256	30	showed	show	VERB
ejpam-6351	256	31	average	average	ADJ
ejpam-6351	256	32	performance	performance	NOUN
ejpam-6351	256	33	.	.	PUNCT
ejpam-6351	257	1	in	in	ADP
ejpam-6351	257	2	the	the	DET
ejpam-6351	257	3	calculation	calculation	NOUN
ejpam-6351	257	4	of	of	ADP
ejpam-6351	257	5	the	the	DET
ejpam-6351	257	6	average	average	ADJ
ejpam-6351	257	7	absolute	absolute	ADJ
ejpam-6351	257	8	approximation	approximation	NOUN
ejpam-6351	257	9	error	error	NOUN
ejpam-6351	257	10	based	base	VERB
ejpam-6351	257	11	on	on	ADP
ejpam-6351	257	12	the	the	DET
ejpam-6351	257	13	number	number	NOUN
ejpam-6351	257	14	of	of	ADP
ejpam-6351	257	15	iterations	iteration	NOUN
ejpam-6351	257	16	,	,	PUNCT
ejpam-6351	257	17	the	the	DET
ejpam-6351	257	18	fib	fib	NOUN
ejpam-6351	257	19	method	method	NOUN
ejpam-6351	257	20	gave	give	VERB
ejpam-6351	257	21	the	the	DET
ejpam-6351	257	22	most	most	ADV
ejpam-6351	257	23	successful	successful	ADJ
ejpam-6351	257	24	result	result	NOUN
ejpam-6351	257	25	.	.	PUNCT
ejpam-6351	258	1	for	for	ADP
ejpam-6351	258	2	the	the	DET
ejpam-6351	258	3	function	function	NOUN
ejpam-6351	258	4	f4	f4	PROPN
ejpam-6351	258	5	,	,	PUNCT
ejpam-6351	258	6	although	although	SCONJ
ejpam-6351	258	7	the	the	DET
ejpam-6351	258	8	gr	gr	NOUN
ejpam-6351	258	9	method	method	NOUN
ejpam-6351	258	10	was	be	AUX
ejpam-6351	258	11	slower	slow	ADJ
ejpam-6351	258	12	than	than	ADP
ejpam-6351	258	13	the	the	DET
ejpam-6351	258	14	other	other	ADJ
ejpam-6351	258	15	methods	method	NOUN
ejpam-6351	258	16	in	in	ADP
ejpam-6351	258	17	terms	term	NOUN
ejpam-6351	258	18	of	of	ADP
ejpam-6351	258	19	the	the	DET
ejpam-6351	258	20	number	number	NOUN
ejpam-6351	258	21	of	of	ADP
ejpam-6351	258	22	iterations	iteration	NOUN
ejpam-6351	258	23	,	,	PUNCT
ejpam-6351	258	24	it	it	PRON
ejpam-6351	258	25	was	be	AUX
ejpam-6351	258	26	the	the	DET
ejpam-6351	258	27	most	most	ADV
ejpam-6351	258	28	successful	successful	ADJ
ejpam-6351	258	29	method	method	NOUN
ejpam-6351	258	30	in	in	ADP
ejpam-6351	258	31	the	the	DET
ejpam-6351	258	32	calculations	calculation	NOUN
ejpam-6351	258	33	of	of	ADP
ejpam-6351	258	34	the	the	DET
ejpam-6351	258	35	average	average	ADJ
ejpam-6351	258	36	absolute	absolute	ADJ
ejpam-6351	258	37	error	error	NOUN
ejpam-6351	258	38	and	and	CCONJ
ejpam-6351	258	39	the	the	DET
ejpam-6351	258	40	average	average	ADJ
ejpam-6351	258	41	absolute	absolute	ADJ
ejpam-6351	258	42	approximation	approximation	NOUN
ejpam-6351	258	43	error	error	NOUN
ejpam-6351	258	44	.	.	PUNCT
ejpam-6351	259	1	in	in	ADP
ejpam-6351	259	2	these	these	DET
ejpam-6351	259	3	two	two	NUM
ejpam-6351	259	4	error	error	NOUN
ejpam-6351	259	5	calculations	calculation	NOUN
ejpam-6351	259	6	,	,	PUNCT
ejpam-6351	259	7	gr	gr	PRON
ejpam-6351	259	8	showed	show	VERB
ejpam-6351	259	9	average	average	ADJ
ejpam-6351	259	10	performance	performance	NOUN
ejpam-6351	259	11	.	.	PUNCT
ejpam-6351	260	1	although	although	SCONJ
ejpam-6351	260	2	gr	gr	NOUN
ejpam-6351	260	3	achieved	achieve	VERB
ejpam-6351	260	4	the	the	DET
ejpam-6351	260	5	best	good	ADJ
ejpam-6351	260	6	result	result	NOUN
ejpam-6351	260	7	in	in	ADP
ejpam-6351	260	8	the	the	DET
ejpam-6351	260	9	calculation	calculation	NOUN
ejpam-6351	260	10	of	of	ADP
ejpam-6351	260	11	the	the	DET
ejpam-6351	260	12	average	average	ADJ
ejpam-6351	260	13	absolute	absolute	ADJ
ejpam-6351	260	14	error	error	NOUN
ejpam-6351	260	15	depending	depend	VERB
ejpam-6351	260	16	on	on	ADP
ejpam-6351	260	17	the	the	DET
ejpam-6351	260	18	number	number	NOUN
ejpam-6351	260	19	of	of	ADP
ejpam-6351	260	20	iterations	iteration	NOUN
ejpam-6351	260	21	,	,	PUNCT
ejpam-6351	260	22	it	it	PRON
ejpam-6351	260	23	was	be	AUX
ejpam-6351	260	24	noteworthy	noteworthy	ADJ
ejpam-6351	260	25	that	that	SCONJ
ejpam-6351	260	26	this	this	DET
ejpam-6351	260	27	method	method	NOUN
ejpam-6351	260	28	achieved	achieve	VERB
ejpam-6351	260	29	the	the	DET
ejpam-6351	260	30	worst	bad	ADJ
ejpam-6351	260	31	result	result	NOUN
ejpam-6351	260	32	in	in	ADP
ejpam-6351	260	33	the	the	DET
ejpam-6351	260	34	calculation	calculation	NOUN
ejpam-6351	260	35	of	of	ADP
ejpam-6351	260	36	the	the	DET
ejpam-6351	260	37	average	average	ADJ
ejpam-6351	260	38	absolute	absolute	ADJ
ejpam-6351	260	39	approximation	approximation	NOUN
ejpam-6351	260	40	error	error	NOUN
ejpam-6351	260	41	depending	depend	VERB
ejpam-6351	260	42	on	on	ADP
ejpam-6351	260	43	the	the	DET
ejpam-6351	260	44	number	number	NOUN
ejpam-6351	260	45	of	of	ADP
ejpam-6351	260	46	iterations	iteration	NOUN
ejpam-6351	260	47	.	.	PUNCT
ejpam-6351	261	1	b.	b.	PROPN
ejpam-6351	261	2	köse	köse	PROPN
ejpam-6351	261	3	,	,	PUNCT
ejpam-6351	261	4	b.	b.	PROPN
ejpam-6351	261	5	demirtürk	demirtürk	PROPN
ejpam-6351	261	6	,	,	PUNCT
ejpam-6351	261	7	ş.	ş.	PROPN
ejpam-6351	261	8	konca	konca	PROPN
ejpam-6351	261	9	/	/	SYM
ejpam-6351	261	10	eur	eur	PROPN
ejpam-6351	261	11	.	.	PUNCT
ejpam-6351	262	1	j.	j.	PROPN
ejpam-6351	262	2	pure	pure	PROPN
ejpam-6351	262	3	appl	appl	PROPN
ejpam-6351	262	4	.	.	PROPN
ejpam-6351	262	5	math	math	PROPN
ejpam-6351	262	6	,	,	PUNCT
ejpam-6351	262	7	18	18	NUM
ejpam-6351	262	8	(	(	PUNCT
ejpam-6351	262	9	3	3	NUM
ejpam-6351	262	10	)	)	PUNCT
ejpam-6351	262	11	(	(	PUNCT
ejpam-6351	262	12	2025	2025	NUM
ejpam-6351	262	13	)	)	PUNCT
ejpam-6351	262	14	,	,	PUNCT
ejpam-6351	262	15	6351	6351	NUM
ejpam-6351	262	16	20	20	NUM
ejpam-6351	262	17	of	of	ADP
ejpam-6351	262	18	22	22	NUM
ejpam-6351	262	19	4	4	NUM
ejpam-6351	262	20	.	.	PUNCT
ejpam-6351	262	21	conclusion	conclusion	NOUN
ejpam-6351	262	22	and	and	CCONJ
ejpam-6351	262	23	evaluation	evaluation	NOUN
ejpam-6351	262	24	the	the	DET
ejpam-6351	262	25	results	result	NOUN
ejpam-6351	262	26	given	give	VERB
ejpam-6351	262	27	in	in	ADP
ejpam-6351	262	28	table	table	NOUN
ejpam-6351	262	29	1	1	NUM
ejpam-6351	262	30	show	show	VERB
ejpam-6351	262	31	that	that	SCONJ
ejpam-6351	262	32	the	the	DET
ejpam-6351	262	33	performance	performance	NOUN
ejpam-6351	262	34	of	of	ADP
ejpam-6351	262	35	different	different	ADJ
ejpam-6351	262	36	optimization	optimization	NOUN
ejpam-6351	262	37	algorithms	algorithm	NOUN
ejpam-6351	262	38	on	on	ADP
ejpam-6351	262	39	various	various	ADJ
ejpam-6351	262	40	test	test	NOUN
ejpam-6351	262	41	functions	function	NOUN
ejpam-6351	262	42	can	can	AUX
ejpam-6351	262	43	vary	vary	VERB
ejpam-6351	262	44	greatly	greatly	ADV
ejpam-6351	262	45	,	,	PUNCT
ejpam-6351	262	46	and	and	CCONJ
ejpam-6351	262	47	that	that	SCONJ
ejpam-6351	262	48	the	the	DET
ejpam-6351	262	49	choice	choice	NOUN
ejpam-6351	262	50	of	of	ADP
ejpam-6351	262	51	the	the	DET
ejpam-6351	262	52	optimal	optimal	ADJ
ejpam-6351	262	53	root	root	NOUN
ejpam-6351	262	54	-	-	PUNCT
ejpam-6351	262	55	finding	find	VERB
ejpam-6351	262	56	method	method	NOUN
ejpam-6351	262	57	should	should	AUX
ejpam-6351	262	58	be	be	AUX
ejpam-6351	262	59	carefully	carefully	ADV
ejpam-6351	262	60	evaluated	evaluate	VERB
ejpam-6351	262	61	depending	depend	VERB
ejpam-6351	262	62	on	on	ADP
ejpam-6351	262	63	the	the	DET
ejpam-6351	262	64	problem	problem	NOUN
ejpam-6351	262	65	.	.	PUNCT
ejpam-6351	263	1	according	accord	VERB
ejpam-6351	263	2	to	to	ADP
ejpam-6351	263	3	these	these	DET
ejpam-6351	263	4	results	result	NOUN
ejpam-6351	263	5	,	,	PUNCT
ejpam-6351	263	6	all	all	DET
ejpam-6351	263	7	three	three	NUM
ejpam-6351	263	8	methods	method	NOUN
ejpam-6351	263	9	have	have	VERB
ejpam-6351	263	10	advantages	advantage	NOUN
ejpam-6351	263	11	and	and	CCONJ
ejpam-6351	263	12	disadvantages	disadvantage	NOUN
ejpam-6351	263	13	in	in	ADP
ejpam-6351	263	14	certain	certain	ADJ
ejpam-6351	263	15	situations	situation	NOUN
ejpam-6351	263	16	.	.	PUNCT
ejpam-6351	264	1	below	below	ADV
ejpam-6351	264	2	are	be	AUX
ejpam-6351	264	3	some	some	DET
ejpam-6351	264	4	observations	observation	NOUN
ejpam-6351	264	5	based	base	VERB
ejpam-6351	264	6	on	on	ADP
ejpam-6351	264	7	the	the	DET
ejpam-6351	264	8	test	test	NOUN
ejpam-6351	264	9	functions	function	NOUN
ejpam-6351	264	10	and	and	CCONJ
ejpam-6351	264	11	the	the	DET
ejpam-6351	264	12	results	result	NOUN
ejpam-6351	264	13	obtained	obtain	VERB
ejpam-6351	264	14	:	:	PUNCT
ejpam-6351	264	15	bisection	bisection	NOUN
ejpam-6351	264	16	search	search	NOUN
ejpam-6351	264	17	method	method	NOUN
ejpam-6351	264	18	(	(	PUNCT
ejpam-6351	264	19	bm	bm	PROPN
ejpam-6351	264	20	):	):	PUNCT
ejpam-6351	264	21	in	in	ADP
ejpam-6351	264	22	general	general	ADJ
ejpam-6351	264	23	,	,	PUNCT
ejpam-6351	264	24	bm	bm	PROPN
ejpam-6351	264	25	gave	give	VERB
ejpam-6351	264	26	good	good	ADJ
ejpam-6351	264	27	results	result	NOUN
ejpam-6351	264	28	with	with	ADP
ejpam-6351	264	29	very	very	ADV
ejpam-6351	264	30	low	low	ADJ
ejpam-6351	264	31	absolute	absolute	ADJ
ejpam-6351	264	32	errors	error	NOUN
ejpam-6351	264	33	for	for	ADP
ejpam-6351	264	34	the	the	DET
ejpam-6351	264	35	functions	function	NOUN
ejpam-6351	264	36	f1	f1	NOUN
ejpam-6351	264	37	and	and	CCONJ
ejpam-6351	264	38	f4	f4	PROPN
ejpam-6351	264	39	.	.	PUNCT
ejpam-6351	265	1	especially	especially	ADV
ejpam-6351	265	2	for	for	ADP
ejpam-6351	265	3	the	the	DET
ejpam-6351	265	4	function	function	NOUN
ejpam-6351	265	5	f1	f1	NOUN
ejpam-6351	265	6	,	,	PUNCT
ejpam-6351	265	7	it	it	PRON
ejpam-6351	265	8	provided	provide	VERB
ejpam-6351	265	9	a	a	DET
ejpam-6351	265	10	very	very	ADV
ejpam-6351	265	11	accurate	accurate	ADJ
ejpam-6351	265	12	approximation	approximation	NOUN
ejpam-6351	265	13	using	use	VERB
ejpam-6351	265	14	the	the	DET
ejpam-6351	265	15	minimum	minimum	ADJ
ejpam-6351	265	16	number	number	NOUN
ejpam-6351	265	17	of	of	ADP
ejpam-6351	265	18	iterations	iteration	NOUN
ejpam-6351	265	19	.	.	PUNCT
ejpam-6351	266	1	this	this	PRON
ejpam-6351	266	2	shows	show	VERB
ejpam-6351	266	3	that	that	SCONJ
ejpam-6351	266	4	bm	bm	PROPN
ejpam-6351	266	5	can	can	AUX
ejpam-6351	266	6	provide	provide	VERB
ejpam-6351	266	7	fast	fast	ADJ
ejpam-6351	266	8	and	and	CCONJ
ejpam-6351	266	9	efficient	efficient	ADJ
ejpam-6351	266	10	results	result	NOUN
ejpam-6351	266	11	in	in	ADP
ejpam-6351	266	12	some	some	DET
ejpam-6351	266	13	cases	case	NOUN
ejpam-6351	266	14	.	.	PUNCT
ejpam-6351	267	1	golden	golden	ADJ
ejpam-6351	267	2	ratio	ratio	NOUN
ejpam-6351	267	3	search	search	NOUN
ejpam-6351	267	4	method	method	NOUN
ejpam-6351	267	5	(	(	PUNCT
ejpam-6351	267	6	gr	gr	NOUN
ejpam-6351	267	7	):	):	PUNCT
ejpam-6351	267	8	the	the	DET
ejpam-6351	267	9	gr	gr	NOUN
ejpam-6351	267	10	method	method	NOUN
ejpam-6351	267	11	has	have	AUX
ejpam-6351	267	12	attracted	attract	VERB
ejpam-6351	267	13	attention	attention	NOUN
ejpam-6351	267	14	with	with	ADP
ejpam-6351	267	15	low	low	ADJ
ejpam-6351	267	16	absolute	absolute	ADJ
ejpam-6351	267	17	errors	error	NOUN
ejpam-6351	267	18	,	,	PUNCT
ejpam-6351	267	19	especially	especially	ADV
ejpam-6351	267	20	for	for	ADP
ejpam-6351	267	21	functions	function	NOUN
ejpam-6351	267	22	f3	f3	ADJ
ejpam-6351	267	23	and	and	CCONJ
ejpam-6351	267	24	f4	f4	PROPN
ejpam-6351	267	25	.	.	PUNCT
ejpam-6351	268	1	by	by	ADP
ejpam-6351	268	2	providing	provide	VERB
ejpam-6351	268	3	the	the	DET
ejpam-6351	268	4	lowest	low	ADJ
ejpam-6351	268	5	absolute	absolute	ADJ
ejpam-6351	268	6	error	error	NOUN
ejpam-6351	268	7	for	for	ADP
ejpam-6351	268	8	the	the	DET
ejpam-6351	268	9	function	function	NOUN
ejpam-6351	268	10	f3	f3	NOUN
ejpam-6351	268	11	,	,	PUNCT
ejpam-6351	268	12	it	it	PRON
ejpam-6351	268	13	has	have	AUX
ejpam-6351	268	14	shown	show	VERB
ejpam-6351	268	15	that	that	SCONJ
ejpam-6351	268	16	the	the	DET
ejpam-6351	268	17	gr	gr	NOUN
ejpam-6351	268	18	method	method	NOUN
ejpam-6351	268	19	can	can	AUX
ejpam-6351	268	20	be	be	AUX
ejpam-6351	268	21	effective	effective	ADJ
ejpam-6351	268	22	for	for	ADP
ejpam-6351	268	23	this	this	DET
ejpam-6351	268	24	type	type	NOUN
ejpam-6351	268	25	of	of	ADP
ejpam-6351	268	26	functions	function	NOUN
ejpam-6351	268	27	.	.	PUNCT
ejpam-6351	269	1	fibonacci	fibonacci	NOUN
ejpam-6351	269	2	search	search	NOUN
ejpam-6351	269	3	method	method	NOUN
ejpam-6351	269	4	(	(	PUNCT
ejpam-6351	269	5	fib	fib	NOUN
ejpam-6351	269	6	):	):	PUNCT
ejpam-6351	269	7	the	the	DET
ejpam-6351	269	8	fib	fib	NOUN
ejpam-6351	269	9	method	method	NOUN
ejpam-6351	269	10	shows	show	VERB
ejpam-6351	269	11	relatively	relatively	ADV
ejpam-6351	269	12	high	high	ADJ
ejpam-6351	269	13	average	average	ADJ
ejpam-6351	269	14	absolute	absolute	ADJ
ejpam-6351	269	15	approximation	approximation	NOUN
ejpam-6351	269	16	errors	error	NOUN
ejpam-6351	269	17	for	for	ADP
ejpam-6351	269	18	all	all	DET
ejpam-6351	269	19	four	four	NUM
ejpam-6351	269	20	functions	function	NOUN
ejpam-6351	269	21	compared	compare	VERB
ejpam-6351	269	22	to	to	ADP
ejpam-6351	269	23	the	the	DET
ejpam-6351	269	24	other	other	ADJ
ejpam-6351	269	25	methods	method	NOUN
ejpam-6351	269	26	.	.	PUNCT
ejpam-6351	270	1	the	the	DET
ejpam-6351	270	2	fib	fib	NOUN
ejpam-6351	270	3	method	method	NOUN
ejpam-6351	270	4	gives	give	VERB
ejpam-6351	270	5	the	the	DET
ejpam-6351	270	6	best	good	ADJ
ejpam-6351	270	7	result	result	NOUN
ejpam-6351	270	8	for	for	ADP
ejpam-6351	270	9	all	all	DET
ejpam-6351	270	10	four	four	NUM
ejpam-6351	270	11	functions	function	NOUN
ejpam-6351	270	12	in	in	ADP
ejpam-6351	270	13	the	the	DET
ejpam-6351	270	14	absolute	absolute	ADJ
ejpam-6351	270	15	approximation	approximation	NOUN
ejpam-6351	270	16	error	error	NOUN
ejpam-6351	270	17	calculation	calculation	NOUN
ejpam-6351	270	18	depending	depend	VERB
ejpam-6351	270	19	on	on	ADP
ejpam-6351	270	20	the	the	DET
ejpam-6351	270	21	number	number	NOUN
ejpam-6351	270	22	of	of	ADP
ejpam-6351	270	23	iterations	iteration	NOUN
ejpam-6351	270	24	.	.	PUNCT
ejpam-6351	271	1	in	in	ADP
ejpam-6351	271	2	general	general	ADJ
ejpam-6351	271	3	,	,	PUNCT
ejpam-6351	271	4	the	the	DET
ejpam-6351	271	5	performance	performance	NOUN
ejpam-6351	271	6	of	of	ADP
ejpam-6351	271	7	each	each	DET
ejpam-6351	271	8	method	method	NOUN
ejpam-6351	271	9	varies	vary	VERB
ejpam-6351	271	10	depending	depend	VERB
ejpam-6351	271	11	on	on	ADP
ejpam-6351	271	12	the	the	DET
ejpam-6351	271	13	properties	property	NOUN
ejpam-6351	271	14	of	of	ADP
ejpam-6351	271	15	the	the	DET
ejpam-6351	271	16	function	function	NOUN
ejpam-6351	271	17	under	under	ADP
ejpam-6351	271	18	test	test	NOUN
ejpam-6351	271	19	.	.	PUNCT
ejpam-6351	272	1	this	this	PRON
ejpam-6351	272	2	shows	show	VERB
ejpam-6351	272	3	that	that	SCONJ
ejpam-6351	272	4	when	when	SCONJ
ejpam-6351	272	5	choosing	choose	VERB
ejpam-6351	272	6	an	an	DET
ejpam-6351	272	7	optimal	optimal	ADJ
ejpam-6351	272	8	root	root	NOUN
ejpam-6351	272	9	-	-	PUNCT
ejpam-6351	272	10	finding	find	VERB
ejpam-6351	272	11	method	method	NOUN
ejpam-6351	272	12	,	,	PUNCT
ejpam-6351	272	13	the	the	DET
ejpam-6351	272	14	properties	property	NOUN
ejpam-6351	272	15	of	of	ADP
ejpam-6351	272	16	the	the	DET
ejpam-6351	272	17	function	function	NOUN
ejpam-6351	272	18	should	should	AUX
ejpam-6351	272	19	be	be	AUX
ejpam-6351	272	20	carefully	carefully	ADV
ejpam-6351	272	21	analyzed	analyze	VERB
ejpam-6351	272	22	.	.	PUNCT
ejpam-6351	273	1	in	in	ADP
ejpam-6351	273	2	addition	addition	NOUN
ejpam-6351	273	3	,	,	PUNCT
ejpam-6351	273	4	other	other	ADJ
ejpam-6351	273	5	factors	factor	NOUN
ejpam-6351	273	6	of	of	ADP
ejpam-6351	273	7	each	each	DET
ejpam-6351	273	8	method	method	NOUN
ejpam-6351	273	9	,	,	PUNCT
ejpam-6351	273	10	such	such	ADJ
ejpam-6351	273	11	as	as	ADP
ejpam-6351	273	12	the	the	DET
ejpam-6351	273	13	number	number	NOUN
ejpam-6351	273	14	of	of	ADP
ejpam-6351	273	15	iterations	iteration	NOUN
ejpam-6351	273	16	and	and	CCONJ
ejpam-6351	273	17	computational	computational	ADJ
ejpam-6351	273	18	cost	cost	NOUN
ejpam-6351	273	19	,	,	PUNCT
ejpam-6351	273	20	should	should	AUX
ejpam-6351	273	21	be	be	AUX
ejpam-6351	273	22	considered	consider	VERB
ejpam-6351	273	23	.	.	PUNCT
ejpam-6351	274	1	the	the	DET
ejpam-6351	274	2	differences	difference	NOUN
ejpam-6351	274	3	between	between	ADP
ejpam-6351	274	4	the	the	DET
ejpam-6351	274	5	methods	method	NOUN
ejpam-6351	274	6	are	be	AUX
ejpam-6351	274	7	due	due	ADJ
ejpam-6351	274	8	to	to	ADP
ejpam-6351	274	9	the	the	DET
ejpam-6351	274	10	approximation	approximation	NOUN
ejpam-6351	274	11	strategies	strategy	NOUN
ejpam-6351	274	12	and	and	CCONJ
ejpam-6351	274	13	mathematical	mathematical	ADJ
ejpam-6351	274	14	structures	structure	NOUN
ejpam-6351	274	15	of	of	ADP
ejpam-6351	274	16	the	the	DET
ejpam-6351	274	17	algorithms	algorithm	NOUN
ejpam-6351	274	18	,	,	PUNCT
ejpam-6351	274	19	so	so	SCONJ
ejpam-6351	274	20	it	it	PRON
ejpam-6351	274	21	is	be	AUX
ejpam-6351	274	22	important	important	ADJ
ejpam-6351	274	23	to	to	PART
ejpam-6351	274	24	choose	choose	VERB
ejpam-6351	274	25	the	the	DET
ejpam-6351	274	26	method	method	NOUN
ejpam-6351	274	27	that	that	PRON
ejpam-6351	274	28	best	good	ADJ
ejpam-6351	274	29	suits	suit	VERB
ejpam-6351	274	30	the	the	DET
ejpam-6351	274	31	nature	nature	NOUN
ejpam-6351	274	32	of	of	ADP
ejpam-6351	274	33	a	a	DET
ejpam-6351	274	34	particular	particular	ADJ
ejpam-6351	274	35	problem	problem	NOUN
ejpam-6351	274	36	.	.	PUNCT
ejpam-6351	275	1	in	in	ADP
ejpam-6351	275	2	this	this	DET
ejpam-6351	275	3	study	study	NOUN
ejpam-6351	275	4	,	,	PUNCT
ejpam-6351	275	5	the	the	DET
ejpam-6351	275	6	performance	performance	NOUN
ejpam-6351	275	7	analyses	analysis	NOUN
ejpam-6351	275	8	of	of	ADP
ejpam-6351	275	9	bisection	bisection	NOUN
ejpam-6351	275	10	,	,	PUNCT
ejpam-6351	275	11	fibonacci	fibonacci	NOUN
ejpam-6351	275	12	and	and	CCONJ
ejpam-6351	275	13	golden	golden	ADJ
ejpam-6351	275	14	ratio	ratio	NOUN
ejpam-6351	275	15	search	search	NOUN
ejpam-6351	275	16	methods	method	NOUN
ejpam-6351	275	17	are	be	AUX
ejpam-6351	275	18	comprehensively	comprehensively	ADV
ejpam-6351	275	19	evaluated	evaluate	VERB
ejpam-6351	275	20	on	on	ADP
ejpam-6351	275	21	different	different	ADJ
ejpam-6351	275	22	functions	function	NOUN
ejpam-6351	275	23	and	and	CCONJ
ejpam-6351	275	24	the	the	DET
ejpam-6351	275	25	strengths	strength	NOUN
ejpam-6351	275	26	and	and	CCONJ
ejpam-6351	275	27	weaknesses	weakness	NOUN
ejpam-6351	275	28	of	of	ADP
ejpam-6351	275	29	these	these	DET
ejpam-6351	275	30	methods	method	NOUN
ejpam-6351	275	31	are	be	AUX
ejpam-6351	275	32	systematically	systematically	ADV
ejpam-6351	275	33	revealed	reveal	VERB
ejpam-6351	275	34	.	.	PUNCT
ejpam-6351	276	1	identification	identification	NOUN
ejpam-6351	276	2	of	of	ADP
ejpam-6351	276	3	the	the	DET
ejpam-6351	276	4	differences	difference	NOUN
ejpam-6351	276	5	between	between	ADP
ejpam-6351	276	6	classical	classical	ADJ
ejpam-6351	276	7	and	and	CCONJ
ejpam-6351	276	8	modern	modern	ADJ
ejpam-6351	276	9	optimization	optimization	NOUN
ejpam-6351	276	10	techniques	technique	NOUN
ejpam-6351	276	11	provides	provide	VERB
ejpam-6351	276	12	direction	direction	NOUN
ejpam-6351	276	13	for	for	ADP
ejpam-6351	276	14	theoretical	theoretical	ADJ
ejpam-6351	276	15	and	and	CCONJ
ejpam-6351	276	16	applied	applied	ADJ
ejpam-6351	276	17	research	research	NOUN
ejpam-6351	276	18	on	on	ADP
ejpam-6351	276	19	algorithm	algorithm	NOUN
ejpam-6351	276	20	selection	selection	NOUN
ejpam-6351	276	21	processes	process	NOUN
ejpam-6351	276	22	.	.	PUNCT
ejpam-6351	277	1	the	the	DET
ejpam-6351	277	2	study	study	NOUN
ejpam-6351	277	3	highlights	highlight	VERB
ejpam-6351	277	4	the	the	DET
ejpam-6351	277	5	mathematical	mathematical	ADJ
ejpam-6351	277	6	foundations	foundation	NOUN
ejpam-6351	277	7	of	of	ADP
ejpam-6351	277	8	the	the	DET
ejpam-6351	277	9	minimum	minimum	ADJ
ejpam-6351	277	10	value	value	NOUN
ejpam-6351	277	11	approach	approach	NOUN
ejpam-6351	277	12	and	and	CCONJ
ejpam-6351	277	13	adds	add	VERB
ejpam-6351	277	14	a	a	DET
ejpam-6351	277	15	new	new	ADJ
ejpam-6351	277	16	dimension	dimension	NOUN
ejpam-6351	277	17	to	to	ADP
ejpam-6351	277	18	the	the	DET
ejpam-6351	277	19	analytical	analytical	ADJ
ejpam-6351	277	20	analysis	analysis	NOUN
ejpam-6351	277	21	processes	process	NOUN
ejpam-6351	277	22	by	by	ADP
ejpam-6351	277	23	using	use	VERB
ejpam-6351	277	24	the	the	DET
ejpam-6351	277	25	mathematical	mathematical	ADJ
ejpam-6351	277	26	foundations	foundation	NOUN
ejpam-6351	277	27	of	of	ADP
ejpam-6351	277	28	the	the	DET
ejpam-6351	277	29	extreme	extreme	ADJ
ejpam-6351	277	30	value	value	NOUN
ejpam-6351	277	31	theorem	theorem	NOUN
ejpam-6351	277	32	and	and	CCONJ
ejpam-6351	277	33	the	the	DET
ejpam-6351	277	34	intermediate	intermediate	ADJ
ejpam-6351	277	35	value	value	NOUN
ejpam-6351	277	36	theorem	theorem	NOUN
ejpam-6351	277	37	and	and	CCONJ
ejpam-6351	277	38	simulations	simulation	NOUN
ejpam-6351	277	39	to	to	PART
ejpam-6351	277	40	approximate	approximate	VERB
ejpam-6351	277	41	the	the	DET
ejpam-6351	277	42	true	true	ADJ
ejpam-6351	277	43	root	root	NOUN
ejpam-6351	277	44	with	with	ADP
ejpam-6351	277	45	minimum	minimum	NOUN
ejpam-6351	277	46	error	error	NOUN
ejpam-6351	277	47	through	through	ADP
ejpam-6351	277	48	the	the	DET
ejpam-6351	277	49	optimization	optimization	NOUN
ejpam-6351	277	50	approach	approach	NOUN
ejpam-6351	277	51	.	.	PUNCT
ejpam-6351	278	1	accuracy	accuracy	NOUN
ejpam-6351	278	2	analyzes	analyze	NOUN
ejpam-6351	278	3	of	of	ADP
ejpam-6351	278	4	the	the	DET
ejpam-6351	278	5	methods	method	NOUN
ejpam-6351	278	6	using	use	VERB
ejpam-6351	278	7	metrics	metric	NOUN
ejpam-6351	278	8	such	such	ADJ
ejpam-6351	278	9	as	as	ADP
ejpam-6351	278	10	mean	mean	NOUN
ejpam-6351	278	11	absolute	absolute	ADJ
ejpam-6351	278	12	error	error	NOUN
ejpam-6351	278	13	and	and	CCONJ
ejpam-6351	278	14	mean	mean	VERB
ejpam-6351	278	15	absolute	absolute	ADJ
ejpam-6351	278	16	approximation	approximation	NOUN
ejpam-6351	278	17	error	error	NOUN
ejpam-6351	278	18	are	be	AUX
ejpam-6351	278	19	performed	perform	VERB
ejpam-6351	278	20	,	,	PUNCT
ejpam-6351	278	21	thus	thus	ADV
ejpam-6351	278	22	providing	provide	VERB
ejpam-6351	278	23	a	a	DET
ejpam-6351	278	24	comparative	comparative	ADJ
ejpam-6351	278	25	evaluation	evaluation	NOUN
ejpam-6351	278	26	of	of	ADP
ejpam-6351	278	27	the	the	DET
ejpam-6351	278	28	optimization	optimization	NOUN
ejpam-6351	278	29	techniques	technique	NOUN
ejpam-6351	278	30	in	in	ADP
ejpam-6351	278	31	terms	term	NOUN
ejpam-6351	278	32	of	of	ADP
ejpam-6351	278	33	their	their	PRON
ejpam-6351	278	34	error	error	NOUN
ejpam-6351	278	35	tolerance	tolerance	NOUN
ejpam-6351	278	36	.	.	PUNCT
ejpam-6351	279	1	especially	especially	ADV
ejpam-6351	279	2	in	in	ADP
ejpam-6351	279	3	engineering	engineering	NOUN
ejpam-6351	279	4	design	design	NOUN
ejpam-6351	279	5	processes	process	NOUN
ejpam-6351	279	6	,	,	PUNCT
ejpam-6351	279	7	the	the	DET
ejpam-6351	279	8	fibonacci	fibonacci	NOUN
ejpam-6351	279	9	and	and	CCONJ
ejpam-6351	279	10	golden	golden	ADJ
ejpam-6351	279	11	ratio	ratio	NOUN
ejpam-6351	279	12	search	search	NOUN
ejpam-6351	279	13	methods	method	NOUN
ejpam-6351	279	14	used	use	VERB
ejpam-6351	279	15	to	to	PART
ejpam-6351	279	16	determine	determine	VERB
ejpam-6351	279	17	the	the	DET
ejpam-6351	279	18	optimum	optimum	ADJ
ejpam-6351	279	19	parameters	parameter	NOUN
ejpam-6351	279	20	offer	offer	VERB
ejpam-6351	279	21	significant	significant	ADJ
ejpam-6351	279	22	advantages	advantage	NOUN
ejpam-6351	279	23	in	in	ADP
ejpam-6351	279	24	terms	term	NOUN
ejpam-6351	279	25	of	of	ADP
ejpam-6351	279	26	both	both	DET
ejpam-6351	279	27	processing	processing	NOUN
ejpam-6351	279	28	efficiency	efficiency	NOUN
ejpam-6351	279	29	and	and	CCONJ
ejpam-6351	279	30	calculation	calculation	NOUN
ejpam-6351	279	31	speed	speed	NOUN
ejpam-6351	279	32	.	.	PUNCT
ejpam-6351	280	1	these	these	DET
ejpam-6351	280	2	methods	method	NOUN
ejpam-6351	280	3	can	can	AUX
ejpam-6351	280	4	be	be	AUX
ejpam-6351	280	5	effectively	effectively	ADV
ejpam-6351	280	6	applied	apply	VERB
ejpam-6351	280	7	in	in	ADP
ejpam-6351	280	8	engineering	engineering	NOUN
ejpam-6351	280	9	fields	field	NOUN
ejpam-6351	280	10	such	such	ADJ
ejpam-6351	280	11	as	as	ADP
ejpam-6351	280	12	aerodynamic	aerodynamic	ADJ
ejpam-6351	280	13	modeling	modeling	NOUN
ejpam-6351	280	14	,	,	PUNCT
ejpam-6351	280	15	structural	structural	ADJ
ejpam-6351	280	16	analysis	analysis	NOUN
ejpam-6351	280	17	,	,	PUNCT
ejpam-6351	280	18	and	and	CCONJ
ejpam-6351	280	19	mechanical	mechanical	ADJ
ejpam-6351	280	20	system	system	NOUN
ejpam-6351	280	21	optimization	optimization	NOUN
ejpam-6351	280	22	that	that	PRON
ejpam-6351	280	23	require	require	VERB
ejpam-6351	280	24	high	high	ADJ
ejpam-6351	280	25	precision	precision	NOUN
ejpam-6351	280	26	.	.	PUNCT
ejpam-6351	281	1	in	in	ADP
ejpam-6351	281	2	addition	addition	NOUN
ejpam-6351	281	3	,	,	PUNCT
ejpam-6351	281	4	in	in	ADP
ejpam-6351	281	5	decision	decision	NOUN
ejpam-6351	281	6	processes	process	NOUN
ejpam-6351	281	7	b.	b.	PROPN
ejpam-6351	281	8	köse	köse	PROPN
ejpam-6351	281	9	,	,	PUNCT
ejpam-6351	281	10	b.	b.	PROPN
ejpam-6351	281	11	demirtürk	demirtürk	PROPN
ejpam-6351	281	12	,	,	PUNCT
ejpam-6351	281	13	ş.	ş.	PROPN
ejpam-6351	281	14	konca	konca	PROPN
ejpam-6351	281	15	/	/	SYM
ejpam-6351	281	16	eur	eur	PROPN
ejpam-6351	281	17	.	.	PUNCT
ejpam-6351	282	1	j.	j.	PROPN
ejpam-6351	282	2	pure	pure	PROPN
ejpam-6351	282	3	appl	appl	PROPN
ejpam-6351	282	4	.	.	PROPN
ejpam-6351	282	5	math	math	PROPN
ejpam-6351	282	6	,	,	PUNCT
ejpam-6351	282	7	18	18	NUM
ejpam-6351	282	8	(	(	PUNCT
ejpam-6351	282	9	3	3	NUM
ejpam-6351	282	10	)	)	PUNCT
ejpam-6351	282	11	(	(	PUNCT
ejpam-6351	282	12	2025	2025	NUM
ejpam-6351	282	13	)	)	PUNCT
ejpam-6351	282	14	,	,	PUNCT
ejpam-6351	282	15	6351	6351	NUM
ejpam-6351	282	16	21	21	NUM
ejpam-6351	282	17	of	of	ADP
ejpam-6351	282	18	22	22	NUM
ejpam-6351	282	19	involving	involve	VERB
ejpam-6351	282	20	uncertainty	uncertainty	NOUN
ejpam-6351	282	21	such	such	ADJ
ejpam-6351	282	22	as	as	ADP
ejpam-6351	282	23	financial	financial	ADJ
ejpam-6351	282	24	analysis	analysis	NOUN
ejpam-6351	282	25	and	and	CCONJ
ejpam-6351	282	26	risk	risk	NOUN
ejpam-6351	282	27	management	management	NOUN
ejpam-6351	282	28	,	,	PUNCT
ejpam-6351	282	29	these	these	DET
ejpam-6351	282	30	optimization	optimization	NOUN
ejpam-6351	282	31	approaches	approach	NOUN
ejpam-6351	282	32	can	can	AUX
ejpam-6351	282	33	be	be	AUX
ejpam-6351	282	34	used	use	VERB
ejpam-6351	282	35	in	in	ADP
ejpam-6351	282	36	applications	application	NOUN
ejpam-6351	282	37	such	such	ADJ
ejpam-6351	282	38	as	as	ADP
ejpam-6351	282	39	portfolio	portfolio	NOUN
ejpam-6351	282	40	optimization	optimization	NOUN
ejpam-6351	282	41	,	,	PUNCT
ejpam-6351	282	42	risk	risk	NOUN
ejpam-6351	282	43	minimization	minimization	NOUN
ejpam-6351	282	44	and	and	CCONJ
ejpam-6351	282	45	development	development	NOUN
ejpam-6351	282	46	of	of	ADP
ejpam-6351	282	47	investment	investment	NOUN
ejpam-6351	282	48	strategies	strategy	NOUN
ejpam-6351	282	49	.	.	PUNCT
ejpam-6351	283	1	especially	especially	ADV
ejpam-6351	283	2	fibonacci	fibonacci	NOUN
ejpam-6351	283	3	and	and	CCONJ
ejpam-6351	283	4	golden	golden	ADJ
ejpam-6351	283	5	ratio	ratio	NOUN
ejpam-6351	283	6	based	base	VERB
ejpam-6351	283	7	algorithms	algorithm	NOUN
ejpam-6351	283	8	facilitate	facilitate	VERB
ejpam-6351	283	9	more	more	ADV
ejpam-6351	283	10	accurate	accurate	ADJ
ejpam-6351	283	11	predictions	prediction	NOUN
ejpam-6351	283	12	in	in	ADP
ejpam-6351	283	13	areas	area	NOUN
ejpam-6351	283	14	with	with	ADP
ejpam-6351	283	15	unpredictable	unpredictable	ADJ
ejpam-6351	283	16	fluctuations	fluctuation	NOUN
ejpam-6351	283	17	such	such	ADJ
ejpam-6351	283	18	as	as	ADP
ejpam-6351	283	19	stock	stock	NOUN
ejpam-6351	283	20	price	price	NOUN
ejpam-6351	283	21	prediction	prediction	NOUN
ejpam-6351	283	22	and	and	CCONJ
ejpam-6351	283	23	macroeconomic	macroeconomic	ADJ
ejpam-6351	283	24	modeling	modeling	NOUN
ejpam-6351	283	25	.	.	PUNCT
ejpam-6351	284	1	references	reference	NOUN
ejpam-6351	284	2	[	[	X
ejpam-6351	284	3	1	1	NUM
ejpam-6351	284	4	]	]	PUNCT
ejpam-6351	284	5	h.	h.	PROPN
ejpam-6351	284	6	bhasin	bhasin	PROPN
ejpam-6351	284	7	and	and	CCONJ
ejpam-6351	284	8	s.	s.	PROPN
ejpam-6351	284	9	bhatia	bhatia	PROPN
ejpam-6351	284	10	.	.	PUNCT
ejpam-6351	285	1	use	use	NOUN
ejpam-6351	285	2	of	of	ADP
ejpam-6351	285	3	genetic	genetic	ADJ
ejpam-6351	285	4	algorithms	algorithm	NOUN
ejpam-6351	285	5	for	for	ADP
ejpam-6351	285	6	finding	find	VERB
ejpam-6351	285	7	roots	root	NOUN
ejpam-6351	285	8	of	of	ADP
ejpam-6351	285	9	algebraic	algebraic	ADJ
ejpam-6351	285	10	equations	equation	NOUN
ejpam-6351	285	11	.	.	PUNCT
ejpam-6351	286	1	international	international	ADJ
ejpam-6351	286	2	journal	journal	PROPN
ejpam-6351	286	3	of	of	ADP
ejpam-6351	286	4	computer	computer	NOUN
ejpam-6351	286	5	science	science	NOUN
ejpam-6351	286	6	and	and	CCONJ
ejpam-6351	286	7	information	information	NOUN
ejpam-6351	286	8	technologies	technology	NOUN
ejpam-6351	286	9	(	(	PUNCT
ejpam-6351	286	10	ijcsit	ijcsit	ADJ
ejpam-6351	286	11	)	)	PUNCT
ejpam-6351	286	12	,	,	PUNCT
ejpam-6351	286	13	2(4):1693–1696	2(4):1693–1696	PROPN
ejpam-6351	286	14	,	,	PUNCT
ejpam-6351	286	15	2011	2011	NUM
ejpam-6351	286	16	.	.	PUNCT
ejpam-6351	287	1	[	[	X
ejpam-6351	287	2	2	2	X
ejpam-6351	287	3	]	]	PUNCT
ejpam-6351	287	4	p.	p.	NOUN
ejpam-6351	287	5	erdogmuş.	erdogmuş.	PROPN
ejpam-6351	287	6	finding	find	VERB
ejpam-6351	287	7	nonlinear	nonlinear	ADJ
ejpam-6351	287	8	equation	equation	NOUN
ejpam-6351	287	9	roots	root	NOUN
ejpam-6351	287	10	with	with	ADP
ejpam-6351	287	11	particle	particle	NOUN
ejpam-6351	287	12	swarm	swarm	NOUN
ejpam-6351	287	13	optimization	optimization	NOUN
ejpam-6351	287	14	and	and	CCONJ
ejpam-6351	287	15	its	its	PRON
ejpam-6351	287	16	comparison	comparison	NOUN
ejpam-6351	287	17	with	with	ADP
ejpam-6351	287	18	genetic	genetic	ADJ
ejpam-6351	287	19	algorithm	algorithm	NOUN
ejpam-6351	287	20	.	.	PUNCT
ejpam-6351	288	1	journal	journal	NOUN
ejpam-6351	288	2	of	of	ADP
ejpam-6351	288	3	advanced	advanced	ADJ
ejpam-6351	288	4	technology	technology	NOUN
ejpam-6351	288	5	sciences	science	NOUN
ejpam-6351	288	6	,	,	PUNCT
ejpam-6351	288	7	5(1):14	5(1):14	NUM
ejpam-6351	288	8	,	,	PUNCT
ejpam-6351	288	9	2016	2016	NUM
ejpam-6351	288	10	.	.	PUNCT
ejpam-6351	289	1	[	[	X
ejpam-6351	289	2	3	3	X
ejpam-6351	289	3	]	]	PUNCT
ejpam-6351	289	4	k.	k.	PROPN
ejpam-6351	289	5	gdawiec	gdawiec	PROPN
ejpam-6351	289	6	.	.	PUNCT
ejpam-6351	290	1	fractal	fractal	ADJ
ejpam-6351	290	2	patterns	pattern	NOUN
ejpam-6351	290	3	from	from	ADP
ejpam-6351	290	4	the	the	DET
ejpam-6351	290	5	dynamics	dynamic	NOUN
ejpam-6351	290	6	of	of	ADP
ejpam-6351	290	7	combined	combined	ADJ
ejpam-6351	290	8	polynomial	polynomial	ADJ
ejpam-6351	290	9	root	root	NOUN
ejpam-6351	290	10	methods	method	NOUN
ejpam-6351	290	11	.	.	PUNCT
ejpam-6351	291	1	nonlinear	nonlinear	ADJ
ejpam-6351	291	2	dynamics	dynamic	NOUN
ejpam-6351	291	3	,	,	PUNCT
ejpam-6351	291	4	90(4):2457–2479	90(4):2457–2479	PROPN
ejpam-6351	291	5	,	,	PUNCT
ejpam-6351	291	6	2017	2017	NUM
ejpam-6351	291	7	.	.	PUNCT
ejpam-6351	292	1	[	[	X
ejpam-6351	292	2	4	4	X
ejpam-6351	292	3	]	]	PUNCT
ejpam-6351	292	4	t.	t.	PROPN
ejpam-6351	292	5	gemechu	gemechu	PROPN
ejpam-6351	292	6	and	and	CCONJ
ejpam-6351	292	7	s.	s.	PROPN
ejpam-6351	292	8	thota	thota	PROPN
ejpam-6351	292	9	.	.	PUNCT
ejpam-6351	293	1	on	on	ADP
ejpam-6351	293	2	new	new	ADJ
ejpam-6351	293	3	root	root	NOUN
ejpam-6351	293	4	finding	find	VERB
ejpam-6351	293	5	algorithm	algorithm	NOUN
ejpam-6351	293	6	for	for	ADP
ejpam-6351	293	7	solving	solve	VERB
ejpam-6351	293	8	nonlinear	nonlinear	ADJ
ejpam-6351	293	9	transcendental	transcendental	ADJ
ejpam-6351	293	10	equations	equation	NOUN
ejpam-6351	293	11	.	.	PUNCT
ejpam-6351	294	1	international	international	ADJ
ejpam-6351	294	2	journal	journal	PROPN
ejpam-6351	294	3	of	of	ADP
ejpam-6351	294	4	chemistry	chemistry	NOUN
ejpam-6351	294	5	,	,	PUNCT
ejpam-6351	294	6	mathematics	mathematics	PROPN
ejpam-6351	294	7	and	and	CCONJ
ejpam-6351	294	8	physics	physics	PROPN
ejpam-6351	294	9	(	(	PUNCT
ejpam-6351	294	10	ijcmp	ijcmp	NOUN
ejpam-6351	294	11	)	)	PUNCT
ejpam-6351	294	12	,	,	PUNCT
ejpam-6351	294	13	4(2):18–24	4(2):18–24	NUM
ejpam-6351	294	14	,	,	PUNCT
ejpam-6351	294	15	2020	2020	NUM
ejpam-6351	294	16	.	.	PUNCT
ejpam-6351	295	1	[	[	X
ejpam-6351	295	2	5	5	X
ejpam-6351	295	3	]	]	PUNCT
ejpam-6351	295	4	t.	t.	PROPN
ejpam-6351	295	5	nayak	nayak	PROPN
ejpam-6351	295	6	and	and	CCONJ
ejpam-6351	295	7	t.	t.	NOUN
ejpam-6351	295	8	dash	dash	NOUN
ejpam-6351	295	9	.	.	PUNCT
ejpam-6351	296	1	solution	solution	NOUN
ejpam-6351	296	2	to	to	ADP
ejpam-6351	296	3	quadratic	quadratic	ADJ
ejpam-6351	296	4	equation	equation	NOUN
ejpam-6351	296	5	using	use	VERB
ejpam-6351	296	6	genetic	genetic	ADJ
ejpam-6351	296	7	algorithm	algorithm	NOUN
ejpam-6351	296	8	.	.	PUNCT
ejpam-6351	297	1	in	in	ADP
ejpam-6351	297	2	proceedings	proceeding	NOUN
ejpam-6351	297	3	of	of	ADP
ejpam-6351	297	4	national	national	ADJ
ejpam-6351	297	5	conference	conference	NOUN
ejpam-6351	297	6	on	on	ADP
ejpam-6351	297	7	aires-2012	aires-2012	ADJ
ejpam-6351	297	8	.	.	PUNCT
ejpam-6351	298	1	andhra	andhra	PROPN
ejpam-6351	298	2	university	university	PROPN
ejpam-6351	298	3	,	,	PUNCT
ejpam-6351	298	4	2012	2012	NUM
ejpam-6351	298	5	.	.	PUNCT
ejpam-6351	299	1	[	[	X
ejpam-6351	299	2	6	6	NUM
ejpam-6351	299	3	]	]	PUNCT
ejpam-6351	299	4	v.	v.	PROPN
ejpam-6351	299	5	y.	y.	PROPN
ejpam-6351	299	6	pan	pan	PROPN
ejpam-6351	299	7	.	.	PUNCT
ejpam-6351	300	1	root	root	NOUN
ejpam-6351	300	2	-	-	PUNCT
ejpam-6351	300	3	finding	find	VERB
ejpam-6351	300	4	and	and	CCONJ
ejpam-6351	300	5	root	root	NOUN
ejpam-6351	300	6	-	-	PUNCT
ejpam-6351	300	7	refining	refining	NOUN
ejpam-6351	300	8	for	for	ADP
ejpam-6351	300	9	a	a	DET
ejpam-6351	300	10	polynomial	polynomial	ADJ
ejpam-6351	300	11	equation	equation	NOUN
ejpam-6351	300	12	.	.	PUNCT
ejpam-6351	301	1	computer	computer	NOUN
ejpam-6351	301	2	science	science	PROPN
ejpam-6351	301	3	technical	technical	ADJ
ejpam-6351	301	4	reports	report	NOUN
ejpam-6351	301	5	,	,	PUNCT
ejpam-6351	301	6	city	city	PROPN
ejpam-6351	301	7	university	university	PROPN
ejpam-6351	301	8	of	of	ADP
ejpam-6351	301	9	new	new	PROPN
ejpam-6351	301	10	york	york	PROPN
ejpam-6351	301	11	(	(	PUNCT
ejpam-6351	301	12	cuny	cuny	PROPN
ejpam-6351	301	13	)	)	PUNCT
ejpam-6351	301	14	,	,	PUNCT
ejpam-6351	301	15	2012	2012	NUM
ejpam-6351	301	16	.	.	PUNCT
ejpam-6351	302	1	[	[	X
ejpam-6351	302	2	7	7	X
ejpam-6351	302	3	]	]	X
ejpam-6351	302	4	f.	f.	PROPN
ejpam-6351	302	5	vatansever	vatansever	PROPN
ejpam-6351	302	6	and	and	CCONJ
ejpam-6351	302	7	m.	m.	PROPN
ejpam-6351	302	8	hatun	hatun	PROPN
ejpam-6351	302	9	.	.	PUNCT
ejpam-6351	303	1	simulator	simulator	NOUN
ejpam-6351	303	2	design	design	NOUN
ejpam-6351	303	3	for	for	ADP
ejpam-6351	303	4	newton	newton	PROPN
ejpam-6351	303	5	-	-	PUNCT
ejpam-6351	303	6	based	base	VERB
ejpam-6351	303	7	root	root	NOUN
ejpam-6351	303	8	finding	finding	NOUN
ejpam-6351	303	9	methods	method	NOUN
ejpam-6351	303	10	.	.	PUNCT
ejpam-6351	304	1	saü	saü	PROPN
ejpam-6351	304	2	journal	journal	NOUN
ejpam-6351	304	3	of	of	ADP
ejpam-6351	304	4	science	science	NOUN
ejpam-6351	304	5	and	and	CCONJ
ejpam-6351	304	6	technology	technology	NOUN
ejpam-6351	304	7	,	,	PUNCT
ejpam-6351	304	8	19(3):327–337	19(3):327–337	PROPN
ejpam-6351	304	9	,	,	PUNCT
ejpam-6351	304	10	2015	2015	NUM
ejpam-6351	304	11	.	.	PUNCT
ejpam-6351	305	1	[	[	X
ejpam-6351	305	2	8	8	NUM
ejpam-6351	305	3	]	]	X
ejpam-6351	305	4	v.	v.	PROPN
ejpam-6351	305	5	yu	yu	PROPN
ejpam-6351	305	6	.	.	PROPN
ejpam-6351	305	7	semenov	semenov	PROPN
ejpam-6351	305	8	.	.	PUNCT
ejpam-6351	306	1	a	a	DET
ejpam-6351	306	2	method	method	NOUN
ejpam-6351	306	3	to	to	PART
ejpam-6351	306	4	find	find	VERB
ejpam-6351	306	5	all	all	DET
ejpam-6351	306	6	the	the	DET
ejpam-6351	306	7	roots	root	NOUN
ejpam-6351	306	8	of	of	ADP
ejpam-6351	306	9	the	the	DET
ejpam-6351	306	10	system	system	NOUN
ejpam-6351	306	11	of	of	ADP
ejpam-6351	306	12	nonlinear	nonlinear	ADJ
ejpam-6351	306	13	algebraic	algebraic	ADJ
ejpam-6351	306	14	equations	equation	NOUN
ejpam-6351	306	15	based	base	VERB
ejpam-6351	306	16	on	on	ADP
ejpam-6351	306	17	the	the	DET
ejpam-6351	306	18	krawczyk	krawczyk	PROPN
ejpam-6351	306	19	operator	operator	NOUN
ejpam-6351	306	20	.	.	PUNCT
ejpam-6351	307	1	cybernetic	cybernetic	ADJ
ejpam-6351	307	2	and	and	CCONJ
ejpam-6351	307	3	systems	system	NOUN
ejpam-6351	307	4	analysis	analysis	NOUN
ejpam-6351	307	5	,	,	PUNCT
ejpam-6351	307	6	51(5):819–825	51(5):819–825	PROPN
ejpam-6351	307	7	,	,	PUNCT
ejpam-6351	307	8	2015	2015	NUM
ejpam-6351	307	9	.	.	PUNCT
ejpam-6351	308	1	[	[	X
ejpam-6351	308	2	9	9	NUM
ejpam-6351	308	3	]	]	X
ejpam-6351	308	4	s.	s.	PROPN
ejpam-6351	308	5	thota	thota	PROPN
ejpam-6351	308	6	.	.	PUNCT
ejpam-6351	309	1	a	a	DET
ejpam-6351	309	2	new	new	ADJ
ejpam-6351	309	3	root	root	NOUN
ejpam-6351	309	4	finding	find	VERB
ejpam-6351	309	5	algorithm	algorithm	NOUN
ejpam-6351	309	6	using	use	VERB
ejpam-6351	309	7	exponential	exponential	ADJ
ejpam-6351	309	8	series	series	NOUN
ejpam-6351	309	9	.	.	PUNCT
ejpam-6351	310	1	ural	ural	ADJ
ejpam-6351	310	2	mathematical	mathematical	ADJ
ejpam-6351	310	3	journal	journal	NOUN
ejpam-6351	310	4	,	,	PUNCT
ejpam-6351	310	5	5(1):83–90	5(1):83–90	NUM
ejpam-6351	310	6	,	,	PUNCT
ejpam-6351	310	7	2019	2019	NUM
ejpam-6351	310	8	.	.	PUNCT
ejpam-6351	311	1	[	[	X
ejpam-6351	311	2	10	10	NUM
ejpam-6351	311	3	]	]	X
ejpam-6351	311	4	c.	c.	PROPN
ejpam-6351	311	5	l.	l.	PROPN
ejpam-6351	311	6	sabharwa	sabharwa	PROPN
ejpam-6351	311	7	.	.	PUNCT
ejpam-6351	312	1	blended	blend	VERB
ejpam-6351	312	2	root	root	NOUN
ejpam-6351	312	3	finding	find	VERB
ejpam-6351	312	4	algorithm	algorithm	NOUN
ejpam-6351	312	5	outperforms	outperform	NOUN
ejpam-6351	312	6	bisection	bisection	NOUN
ejpam-6351	312	7	and	and	CCONJ
ejpam-6351	312	8	regula	regula	NOUN
ejpam-6351	312	9	falsi	falsi	NOUN
ejpam-6351	312	10	algorithms	algorithm	NOUN
ejpam-6351	312	11	.	.	PUNCT
ejpam-6351	313	1	mathematics	mathematic	NOUN
ejpam-6351	313	2	,	,	PUNCT
ejpam-6351	313	3	7:1118	7:1118	NUM
ejpam-6351	313	4	,	,	PUNCT
ejpam-6351	313	5	2019	2019	NUM
ejpam-6351	313	6	.	.	PUNCT
ejpam-6351	314	1	[	[	X
ejpam-6351	314	2	11	11	NUM
ejpam-6351	314	3	]	]	PUNCT
ejpam-6351	314	4	s.	s.	PROPN
ejpam-6351	314	5	thota	thota	PROPN
ejpam-6351	314	6	,	,	PUNCT
ejpam-6351	314	7	m.	m.	NOUN
ejpam-6351	314	8	m.	m.	PROPN
ejpam-6351	314	9	awad	awad	PROPN
ejpam-6351	314	10	,	,	PUNCT
ejpam-6351	314	11	s.	s.	PROPN
ejpam-6351	314	12	palanisamy	palanisamy	PROPN
ejpam-6351	314	13	,	,	PUNCT
ejpam-6351	314	14	and	and	CCONJ
ejpam-6351	314	15	l.	l.	PROPN
ejpam-6351	314	16	rathour	rathour	PROPN
ejpam-6351	314	17	.	.	PUNCT
ejpam-6351	315	1	a	a	DET
ejpam-6351	315	2	derivative	derivative	ADJ
ejpam-6351	315	3	-	-	PUNCT
ejpam-6351	315	4	free	free	ADJ
ejpam-6351	315	5	root	root	NOUN
ejpam-6351	315	6	-	-	PUNCT
ejpam-6351	315	7	finding	find	VERB
ejpam-6351	315	8	algorithm	algorithm	NOUN
ejpam-6351	315	9	using	use	VERB
ejpam-6351	315	10	exponential	exponential	ADJ
ejpam-6351	315	11	method	method	NOUN
ejpam-6351	315	12	and	and	CCONJ
ejpam-6351	315	13	its	its	PRON
ejpam-6351	315	14	implementation	implementation	NOUN
ejpam-6351	315	15	.	.	PUNCT
ejpam-6351	316	1	bmc	bmc	ADJ
ejpam-6351	316	2	research	research	NOUN
ejpam-6351	316	3	notes	note	NOUN
ejpam-6351	316	4	,	,	PUNCT
ejpam-6351	316	5	16(1):276	16(1):276	NOUN
ejpam-6351	316	6	,	,	PUNCT
ejpam-6351	316	7	2023	2023	NUM
ejpam-6351	316	8	.	.	PUNCT
ejpam-6351	317	1	[	[	X
ejpam-6351	317	2	12	12	NUM
ejpam-6351	317	3	]	]	PUNCT
ejpam-6351	317	4	r.	r.	PROPN
ejpam-6351	317	5	g.	g.	PROPN
ejpam-6351	317	6	bartle	bartle	PROPN
ejpam-6351	317	7	and	and	CCONJ
ejpam-6351	317	8	d.	d.	PROPN
ejpam-6351	317	9	r.	r.	PROPN
ejpam-6351	317	10	sherbert	sherbert	PROPN
ejpam-6351	317	11	.	.	PUNCT
ejpam-6351	318	1	introduction	introduction	NOUN
ejpam-6351	318	2	to	to	ADP
ejpam-6351	318	3	real	real	ADJ
ejpam-6351	318	4	analysis	analysis	NOUN
ejpam-6351	318	5	.	.	PUNCT
ejpam-6351	319	1	wiley	wiley	PROPN
ejpam-6351	319	2	,	,	PUNCT
ejpam-6351	319	3	4	4	NUM
ejpam-6351	319	4	edition	edition	NOUN
ejpam-6351	319	5	,	,	PUNCT
ejpam-6351	319	6	2011	2011	NUM
ejpam-6351	319	7	.	.	PUNCT
ejpam-6351	320	1	[	[	X
ejpam-6351	320	2	13	13	NUM
ejpam-6351	320	3	]	]	X
ejpam-6351	320	4	w.	w.	PROPN
ejpam-6351	320	5	rudin	rudin	PROPN
ejpam-6351	320	6	.	.	PUNCT
ejpam-6351	321	1	principles	principle	NOUN
ejpam-6351	321	2	of	of	ADP
ejpam-6351	321	3	mathematical	mathematical	ADJ
ejpam-6351	321	4	analysis	analysis	NOUN
ejpam-6351	321	5	.	.	PUNCT
ejpam-6351	322	1	mcgraw	mcgraw	PROPN
ejpam-6351	322	2	-	-	PUNCT
ejpam-6351	322	3	hill	hill	PROPN
ejpam-6351	322	4	,	,	PUNCT
ejpam-6351	322	5	3	3	NUM
ejpam-6351	322	6	edition	edition	NOUN
ejpam-6351	322	7	,	,	PUNCT
ejpam-6351	322	8	1976	1976	NUM
ejpam-6351	322	9	.	.	PUNCT
ejpam-6351	323	1	[	[	X
ejpam-6351	323	2	14	14	NUM
ejpam-6351	323	3	]	]	X
ejpam-6351	323	4	r.	r.	PROPN
ejpam-6351	323	5	l.	l.	PROPN
ejpam-6351	323	6	burden	burden	PROPN
ejpam-6351	323	7	,	,	PUNCT
ejpam-6351	323	8	j.	j.	PROPN
ejpam-6351	323	9	d.	d.	PROPN
ejpam-6351	323	10	faires	faires	PROPN
ejpam-6351	323	11	,	,	PUNCT
ejpam-6351	323	12	and	and	CCONJ
ejpam-6351	323	13	a.	a.	NOUN
ejpam-6351	323	14	m.	m.	NOUN
ejpam-6351	323	15	burden	burden	NOUN
ejpam-6351	323	16	.	.	PUNCT
ejpam-6351	324	1	numerical	numerical	ADJ
ejpam-6351	324	2	analysis	analysis	NOUN
ejpam-6351	324	3	.	.	PUNCT
ejpam-6351	325	1	cengage	cengage	PROPN
ejpam-6351	325	2	learning	learning	PROPN
ejpam-6351	325	3	,	,	PUNCT
ejpam-6351	325	4	10	10	NUM
ejpam-6351	325	5	edition	edition	NOUN
ejpam-6351	325	6	,	,	PUNCT
ejpam-6351	325	7	2016	2016	NUM
ejpam-6351	325	8	.	.	PUNCT
ejpam-6351	326	1	[	[	X
ejpam-6351	326	2	15	15	NUM
ejpam-6351	326	3	]	]	X
ejpam-6351	326	4	j.	j.	PROPN
ejpam-6351	326	5	c.	c.	PROPN
ejpam-6351	326	6	ehiwario	ehiwario	PROPN
ejpam-6351	326	7	.	.	PUNCT
ejpam-6351	327	1	lecture	lecture	NOUN
ejpam-6351	327	2	notes	note	NOUN
ejpam-6351	327	3	on	on	ADP
ejpam-6351	327	4	mth213	mth213	PROPN
ejpam-6351	327	5	:	:	PUNCT
ejpam-6351	327	6	introduction	introduction	NOUN
ejpam-6351	327	7	to	to	ADP
ejpam-6351	327	8	numerical	numerical	ADJ
ejpam-6351	327	9	analysis	analysis	NOUN
ejpam-6351	327	10	.	.	PUNCT
ejpam-6351	328	1	college	college	NOUN
ejpam-6351	328	2	of	of	ADP
ejpam-6351	328	3	education	education	PROPN
ejpam-6351	328	4	agbor	agbor	NOUN
ejpam-6351	328	5	,	,	PUNCT
ejpam-6351	328	6	affiliate	affiliate	NOUN
ejpam-6351	328	7	of	of	ADP
ejpam-6351	328	8	delta	delta	PROPN
ejpam-6351	328	9	state	state	PROPN
ejpam-6351	328	10	university	university	PROPN
ejpam-6351	328	11	,	,	PUNCT
ejpam-6351	328	12	abraka	abraka	NOUN
ejpam-6351	328	13	,	,	PUNCT
ejpam-6351	328	14	2013	2013	NUM
ejpam-6351	328	15	.	.	PUNCT
ejpam-6351	329	1	[	[	X
ejpam-6351	329	2	16	16	NUM
ejpam-6351	329	3	]	]	X
ejpam-6351	329	4	j.	j.	PROPN
ejpam-6351	329	5	c.	c.	PROPN
ejpam-6351	329	6	ehiwario	ehiwario	PROPN
ejpam-6351	329	7	and	and	CCONJ
ejpam-6351	329	8	s.	s.	PROPN
ejpam-6351	329	9	o.	o.	PROPN
ejpam-6351	329	10	aghamie	aghamie	PROPN
ejpam-6351	329	11	.	.	PUNCT
ejpam-6351	330	1	comparative	comparative	ADJ
ejpam-6351	330	2	study	study	NOUN
ejpam-6351	330	3	of	of	ADP
ejpam-6351	330	4	bisection	bisection	NOUN
ejpam-6351	330	5	,	,	PUNCT
ejpam-6351	330	6	newton	newton	PROPN
ejpam-6351	330	7	-	-	PUNCT
ejpam-6351	330	8	raphson	raphson	PROPN
ejpam-6351	330	9	b.	b.	PROPN
ejpam-6351	330	10	köse	köse	PROPN
ejpam-6351	330	11	,	,	PUNCT
ejpam-6351	330	12	b.	b.	PROPN
ejpam-6351	330	13	demirtürk	demirtürk	PROPN
ejpam-6351	330	14	,	,	PUNCT
ejpam-6351	330	15	ş.	ş.	PROPN
ejpam-6351	330	16	konca	konca	PROPN
ejpam-6351	330	17	/	/	SYM
ejpam-6351	330	18	eur	eur	PROPN
ejpam-6351	330	19	.	.	PUNCT
ejpam-6351	331	1	j.	j.	PROPN
ejpam-6351	331	2	pure	pure	PROPN
ejpam-6351	331	3	appl	appl	PROPN
ejpam-6351	331	4	.	.	PROPN
ejpam-6351	331	5	math	math	PROPN
ejpam-6351	331	6	,	,	PUNCT
ejpam-6351	331	7	18	18	NUM
ejpam-6351	331	8	(	(	PUNCT
ejpam-6351	331	9	3	3	NUM
ejpam-6351	331	10	)	)	PUNCT
ejpam-6351	331	11	(	(	PUNCT
ejpam-6351	331	12	2025	2025	NUM
ejpam-6351	331	13	)	)	PUNCT
ejpam-6351	331	14	,	,	PUNCT
ejpam-6351	331	15	6351	6351	NUM
ejpam-6351	331	16	22	22	NUM
ejpam-6351	331	17	of	of	ADP
ejpam-6351	331	18	22	22	NUM
ejpam-6351	331	19	and	and	CCONJ
ejpam-6351	331	20	secant	secant	ADJ
ejpam-6351	331	21	methods	method	NOUN
ejpam-6351	331	22	of	of	ADP
ejpam-6351	331	23	root	root	NOUN
ejpam-6351	331	24	-	-	PUNCT
ejpam-6351	331	25	finding	find	VERB
ejpam-6351	331	26	problems	problem	NOUN
ejpam-6351	331	27	.	.	PUNCT
ejpam-6351	332	1	iosr	iosr	ADJ
ejpam-6351	332	2	journal	journal	PROPN
ejpam-6351	332	3	of	of	ADP
ejpam-6351	332	4	engineering	engineering	NOUN
ejpam-6351	332	5	,	,	PUNCT
ejpam-6351	332	6	4(4):1–7	4(4):1–7	NUM
ejpam-6351	332	7	,	,	PUNCT
ejpam-6351	332	8	2014	2014	NUM
ejpam-6351	332	9	.	.	PUNCT
ejpam-6351	333	1	[	[	X
ejpam-6351	333	2	17	17	NUM
ejpam-6351	333	3	]	]	PUNCT
ejpam-6351	333	4	a.	a.	PROPN
ejpam-6351	333	5	hasan	hasan	PROPN
ejpam-6351	333	6	.	.	PUNCT
ejpam-6351	334	1	numerical	numerical	PROPN
ejpam-6351	334	2	study	study	NOUN
ejpam-6351	334	3	of	of	ADP
ejpam-6351	334	4	some	some	DET
ejpam-6351	334	5	iterative	iterative	NOUN
ejpam-6351	334	6	methods	method	NOUN
ejpam-6351	334	7	for	for	ADP
ejpam-6351	334	8	solving	solve	VERB
ejpam-6351	334	9	nonlinear	nonlinear	ADJ
ejpam-6351	334	10	equations	equation	NOUN
ejpam-6351	334	11	.	.	PUNCT
ejpam-6351	335	1	international	international	ADJ
ejpam-6351	335	2	journal	journal	PROPN
ejpam-6351	335	3	of	of	ADP
ejpam-6351	335	4	engineering	engineering	NOUN
ejpam-6351	335	5	science	science	NOUN
ejpam-6351	335	6	invention	invention	NOUN
ejpam-6351	335	7	,	,	PUNCT
ejpam-6351	335	8	5(2):1–10	5(2):1–10	PROPN
ejpam-6351	335	9	,	,	PUNCT
ejpam-6351	335	10	2016	2016	NUM
ejpam-6351	335	11	.	.	PUNCT
ejpam-6351	336	1	[	[	X
ejpam-6351	336	2	18	18	NUM
ejpam-6351	336	3	]	]	PUNCT
ejpam-6351	336	4	p.	p.	NOUN
ejpam-6351	336	5	e.	e.	PROPN
ejpam-6351	336	6	gill	gill	PROPN
ejpam-6351	336	7	,	,	PUNCT
ejpam-6351	336	8	w.	w.	PROPN
ejpam-6351	336	9	murray	murray	PROPN
ejpam-6351	336	10	,	,	PUNCT
ejpam-6351	336	11	and	and	CCONJ
ejpam-6351	336	12	m.	m.	PROPN
ejpam-6351	336	13	h.	h.	PROPN
ejpam-6351	336	14	wright	wright	PROPN
ejpam-6351	336	15	.	.	PUNCT
ejpam-6351	337	1	practical	practical	ADJ
ejpam-6351	337	2	optimization	optimization	NOUN
ejpam-6351	337	3	.	.	PUNCT
ejpam-6351	338	1	academic	academic	ADJ
ejpam-6351	338	2	press	press	NOUN
ejpam-6351	338	3	,	,	PUNCT
ejpam-6351	338	4	1981	1981	NUM
ejpam-6351	338	5	.	.	PUNCT
ejpam-6351	339	1	[	[	X
ejpam-6351	339	2	19	19	NUM
ejpam-6351	339	3	]	]	X
ejpam-6351	339	4	t.	t.	PROPN
ejpam-6351	339	5	koshy	koshy	PROPN
ejpam-6351	339	6	.	.	PUNCT
ejpam-6351	340	1	fibonacci	fibonacci	PROPN
ejpam-6351	340	2	and	and	CCONJ
ejpam-6351	340	3	lucas	lucas	PROPN
ejpam-6351	340	4	numbers	number	NOUN
ejpam-6351	340	5	with	with	ADP
ejpam-6351	340	6	applications	application	NOUN
ejpam-6351	340	7	.	.	PUNCT
ejpam-6351	341	1	wiley	wiley	PROPN
ejpam-6351	341	2	,	,	PUNCT
ejpam-6351	341	3	new	new	PROPN
ejpam-6351	341	4	york	york	PROPN
ejpam-6351	341	5	,	,	PUNCT
ejpam-6351	341	6	2001	2001	NUM
ejpam-6351	341	7	.	.	PUNCT
ejpam-6351	342	1	[	[	X
ejpam-6351	342	2	20	20	NUM
ejpam-6351	342	3	]	]	X
ejpam-6351	342	4	g.	g.	PROPN
ejpam-6351	342	5	markowsky	markowsky	PROPN
ejpam-6351	342	6	.	.	PUNCT
ejpam-6351	343	1	misconceptions	misconception	NOUN
ejpam-6351	343	2	about	about	ADP
ejpam-6351	343	3	the	the	DET
ejpam-6351	343	4	golden	golden	ADJ
ejpam-6351	343	5	ratio	ratio	NOUN
ejpam-6351	343	6	.	.	PUNCT
ejpam-6351	344	1	the	the	DET
ejpam-6351	344	2	college	college	NOUN
ejpam-6351	344	3	mathematics	mathematics	PROPN
ejpam-6351	344	4	journal	journal	NOUN
ejpam-6351	344	5	,	,	PUNCT
ejpam-6351	344	6	23(1):2–19	23(1):2–19	NOUN
ejpam-6351	344	7	,	,	PUNCT
ejpam-6351	344	8	1992	1992	NUM
ejpam-6351	344	9	.	.	PUNCT
ejpam-6351	345	1	[	[	X
ejpam-6351	345	2	21	21	NUM
ejpam-6351	345	3	]	]	X
ejpam-6351	345	4	l.	l.	PROPN
ejpam-6351	345	5	r.	r.	PROPN
ejpam-6351	345	6	foulds	foulds	PROPN
ejpam-6351	345	7	.	.	PUNCT
ejpam-6351	346	1	optimization	optimization	NOUN
ejpam-6351	346	2	techniques	technique	NOUN
ejpam-6351	346	3	:	:	PUNCT
ejpam-6351	346	4	an	an	DET
ejpam-6351	346	5	introduction	introduction	NOUN
ejpam-6351	346	6	.	.	PUNCT
ejpam-6351	347	1	springer	springer	NOUN
ejpam-6351	347	2	-	-	PUNCT
ejpam-6351	347	3	verlag	verlag	PROPN
ejpam-6351	347	4	,	,	PUNCT
ejpam-6351	347	5	1981	1981	NUM
ejpam-6351	347	6	.	.	PUNCT
ejpam-6351	348	1	[	[	X
ejpam-6351	348	2	22	22	NUM
ejpam-6351	348	3	]	]	PUNCT
ejpam-6351	348	4	t.	t.	NOUN
ejpam-6351	348	5	chai	chai	NOUN
ejpam-6351	348	6	and	and	CCONJ
ejpam-6351	348	7	r.	r.	PROPN
ejpam-6351	348	8	r.	r.	PROPN
ejpam-6351	348	9	draxler	draxler	PROPN
ejpam-6351	348	10	.	.	PUNCT
ejpam-6351	349	1	root	root	NOUN
ejpam-6351	349	2	mean	mean	VERB
ejpam-6351	349	3	square	square	ADJ
ejpam-6351	349	4	error	error	NOUN
ejpam-6351	349	5	(	(	PUNCT
ejpam-6351	349	6	rmse	rmse	NOUN
ejpam-6351	349	7	)	)	PUNCT
ejpam-6351	349	8	or	or	CCONJ
ejpam-6351	349	9	mean	mean	VERB
ejpam-6351	349	10	absolute	absolute	ADJ
ejpam-6351	349	11	error	error	NOUN
ejpam-6351	349	12	(	(	PUNCT
ejpam-6351	349	13	mae	mae	PROPN
ejpam-6351	349	14	)	)	PUNCT
ejpam-6351	349	15	?	?	PUNCT
ejpam-6351	350	1	arguments	argument	NOUN
ejpam-6351	350	2	against	against	ADP
ejpam-6351	350	3	avoiding	avoid	VERB
ejpam-6351	350	4	rmse	rmse	NOUN
ejpam-6351	350	5	in	in	ADP
ejpam-6351	350	6	the	the	DET
ejpam-6351	350	7	literature	literature	NOUN
ejpam-6351	350	8	.	.	PUNCT
ejpam-6351	351	1	geoscientific	geoscientific	PROPN
ejpam-6351	351	2	model	model	PROPN
ejpam-6351	351	3	development	development	PROPN
ejpam-6351	351	4	,	,	PUNCT
ejpam-6351	351	5	7:1247–1250	7:1247–1250	NUM
ejpam-6351	351	6	,	,	PUNCT
ejpam-6351	351	7	2014	2014	NUM
ejpam-6351	351	8	.	.	PUNCT