id	sid	tid	token	lemma	pos
gs-2797	1	1	georgian	georgian	PROPN
gs-2797	1	2	scientists/	scientists/	NUM
gs-2797	1	3	.	.	PUNCT
gs-2797	2	1	6	6	NUM
gs-2797	2	2	n	n	NUM
gs-2797	2	3	2	2	NUM
gs-2797	2	4	,	,	PUNCT
gs-2797	2	5	2024	2024	NUM
gs-2797	2	6	286	286	NUM
gs-2797	2	7	georgian	georgian	PROPN
gs-2797	2	8	scientists	scientist	NOUN
gs-2797	2	9	vol	vol	NOUN
gs-2797	2	10	.	.	PROPN
gs-2797	2	11	6	6	NUM
gs-2797	2	12	issue	issue	NOUN
gs-2797	2	13	2	2	NUM
gs-2797	2	14	,	,	PUNCT
gs-2797	2	15	2024	2024	NUM
gs-2797	2	16	https://doi.org/10.52340/gs.2024.06.02.30	https://doi.org/10.52340/gs.2024.06.02.30	PROPN
gs-2797	2	17	selection	selection	NOUN
gs-2797	2	18	of	of	ADP
gs-2797	2	19	mathematical	mathematical	ADJ
gs-2797	2	20	optimization	optimization	NOUN
gs-2797	2	21	methods	method	NOUN
gs-2797	2	22	for	for	ADP
gs-2797	2	23	solving	solve	VERB
gs-2797	2	24	engineering	engineering	NOUN
gs-2797	2	25	practice	practice	NOUN
gs-2797	2	26	problems	problem	NOUN
gs-2797	2	27	nona	nona	PROPN
gs-2797	2	28	otkhozoria1	otkhozoria1	PROPN
gs-2797	2	29	,	,	PUNCT
gs-2797	2	30	nino	nino	PROPN
gs-2797	2	31	tsiklauri2	tsiklauri2	PROPN
gs-2797	2	32	,	,	PUNCT
gs-2797	2	33	vano	vano	NOUN
gs-2797	2	34	otkhozoria3	otkhozoria3	NOUN
gs-2797	2	35	,	,	PUNCT
gs-2797	2	36	1georgian	1georgian	NUM
gs-2797	2	37	technical	technical	ADJ
gs-2797	2	38	univesity	univesity	NOUN
gs-2797	2	39	orcid	orcid	NOUN
gs-2797	3	1	i	i	NOUN
gs-2797	3	2	d	d	NOUN
gs-2797	3	3	:	:	PUNCT
gs-2797	3	4	0000	0000	NUM
gs-2797	3	5	-	-	PUNCT
gs-2797	3	6	0002	0002	NUM
gs-2797	3	7	-	-	PUNCT
gs-2797	3	8	5837	5837	NUM
gs-2797	3	9	-	-	SYM
gs-2797	3	10	5345	5345	NUM
gs-2797	3	11	2georgian	2georgian	NUM
gs-2797	3	12	technical	technical	ADJ
gs-2797	3	13	university	university	NOUN
gs-2797	3	14	3georgian	3georgian	PROPN
gs-2797	3	15	technical	technical	PROPN
gs-2797	3	16	university	university	NOUN
gs-2797	3	17	orcid	orcid	NOUN
gs-2797	4	1	i	i	NOUN
gs-2797	4	2	d	d	NOUN
gs-2797	4	3	:	:	PUNCT
gs-2797	4	4	0009	0009	NUM
gs-2797	4	5	-	-	SYM
gs-2797	4	6	0008	0008	NUM
gs-2797	4	7	-	-	PUNCT
gs-2797	4	8	6028	6028	NUM
gs-2797	4	9	-	-	PUNCT
gs-2797	4	10	3758	3758	NUM
gs-2797	4	11	abstract	abstract	ADJ
gs-2797	4	12	optimization	optimization	NOUN
gs-2797	4	13	theory	theory	NOUN
gs-2797	4	14	plays	play	VERB
gs-2797	4	15	a	a	DET
gs-2797	4	16	pivotal	pivotal	ADJ
gs-2797	4	17	role	role	NOUN
gs-2797	4	18	in	in	ADP
gs-2797	4	19	contemporary	contemporary	ADJ
gs-2797	4	20	scientific	scientific	ADJ
gs-2797	4	21	and	and	CCONJ
gs-2797	4	22	technical	technical	ADJ
gs-2797	4	23	endeavors	endeavor	NOUN
gs-2797	4	24	,	,	PUNCT
gs-2797	4	25	permeating	permeate	VERB
gs-2797	4	26	various	various	ADJ
gs-2797	4	27	engineering	engineering	NOUN
gs-2797	4	28	disciplines	discipline	NOUN
gs-2797	4	29	.	.	PUNCT
gs-2797	5	1	from	from	ADP
gs-2797	5	2	fine	fine	ADV
gs-2797	5	3	-	-	PUNCT
gs-2797	5	4	tuning	tune	VERB
gs-2797	5	5	chemical	chemical	NOUN
gs-2797	5	6	-	-	PUNCT
gs-2797	5	7	technological	technological	ADJ
gs-2797	5	8	systems	system	NOUN
gs-2797	5	9	to	to	ADP
gs-2797	5	10	optimizing	optimize	VERB
gs-2797	5	11	production	production	NOUN
gs-2797	5	12	processes	process	NOUN
gs-2797	5	13	,	,	PUNCT
gs-2797	5	14	the	the	DET
gs-2797	5	15	application	application	NOUN
gs-2797	5	16	of	of	ADP
gs-2797	5	17	optimal	optimal	ADJ
gs-2797	5	18	management	management	NOUN
gs-2797	5	19	techniques	technique	NOUN
gs-2797	5	20	is	be	AUX
gs-2797	5	21	widespread	widespread	ADJ
gs-2797	5	22	,	,	PUNCT
gs-2797	5	23	particularly	particularly	ADV
gs-2797	5	24	in	in	ADP
gs-2797	5	25	the	the	DET
gs-2797	5	26	context	context	NOUN
gs-2797	5	27	of	of	ADP
gs-2797	5	28	complex	complex	ADJ
gs-2797	5	29	automation	automation	NOUN
gs-2797	5	30	and	and	CCONJ
gs-2797	5	31	sophisticated	sophisticated	ADJ
gs-2797	5	32	technical	technical	ADJ
gs-2797	5	33	setups	setup	NOUN
gs-2797	5	34	.	.	PUNCT
gs-2797	6	1	the	the	DET
gs-2797	6	2	primary	primary	ADJ
gs-2797	6	3	goal	goal	NOUN
gs-2797	6	4	of	of	ADP
gs-2797	6	5	optimization	optimization	NOUN
gs-2797	6	6	is	be	AUX
gs-2797	6	7	to	to	PART
gs-2797	6	8	identify	identify	VERB
gs-2797	6	9	the	the	DET
gs-2797	6	10	most	most	ADV
gs-2797	6	11	optimal	optimal	ADJ
gs-2797	6	12	solution	solution	NOUN
gs-2797	6	13	among	among	ADP
gs-2797	6	14	numerous	numerous	ADJ
gs-2797	6	15	potential	potential	ADJ
gs-2797	6	16	outcomes	outcome	NOUN
gs-2797	6	17	,	,	PUNCT
gs-2797	6	18	employing	employ	VERB
gs-2797	6	19	diverse	diverse	ADJ
gs-2797	6	20	strategies	strategy	NOUN
gs-2797	6	21	ranging	range	VERB
gs-2797	6	22	from	from	ADP
gs-2797	6	23	analytical	analytical	ADJ
gs-2797	6	24	methodologies	methodology	NOUN
gs-2797	6	25	to	to	ADP
gs-2797	6	26	numerical	numerical	ADJ
gs-2797	6	27	simulations	simulation	NOUN
gs-2797	6	28	.	.	PUNCT
gs-2797	7	1	this	this	DET
gs-2797	7	2	paper	paper	NOUN
gs-2797	7	3	explores	explore	VERB
gs-2797	7	4	the	the	DET
gs-2797	7	5	efficacy	efficacy	NOUN
gs-2797	7	6	of	of	ADP
gs-2797	7	7	the	the	DET
gs-2797	7	8	fastest	fast	ADJ
gs-2797	7	9	ascent	ascent	ADJ
gs-2797	7	10	method	method	NOUN
gs-2797	7	11	in	in	ADP
gs-2797	7	12	approaching	approach	VERB
gs-2797	7	13	the	the	DET
gs-2797	7	14	extremum	extremum	NOUN
gs-2797	7	15	of	of	ADP
gs-2797	7	16	the	the	DET
gs-2797	7	17	rosenbrock	rosenbrock	NOUN
gs-2797	7	18	function	function	NOUN
gs-2797	7	19	,	,	PUNCT
gs-2797	7	20	emphasizing	emphasize	VERB
gs-2797	7	21	the	the	DET
gs-2797	7	22	importance	importance	NOUN
gs-2797	7	23	of	of	ADP
gs-2797	7	24	selecting	select	VERB
gs-2797	7	25	appropriate	appropriate	ADJ
gs-2797	7	26	starting	starting	NOUN
gs-2797	7	27	coordinates	coordinate	NOUN
gs-2797	7	28	.	.	PUNCT
gs-2797	8	1	furthermore	furthermore	ADV
gs-2797	8	2	,	,	PUNCT
gs-2797	8	3	the	the	DET
gs-2797	8	4	study	study	NOUN
gs-2797	8	5	investigates	investigate	VERB
gs-2797	8	6	the	the	DET
gs-2797	8	7	impact	impact	NOUN
gs-2797	8	8	of	of	ADP
gs-2797	8	9	errors	error	NOUN
gs-2797	8	10	introduced	introduce	VERB
gs-2797	8	11	through	through	ADP
gs-2797	8	12	random	random	ADJ
gs-2797	8	13	variables	variable	NOUN
gs-2797	8	14	,	,	PUNCT
gs-2797	8	15	highlighting	highlight	VERB
gs-2797	8	16	the	the	DET
gs-2797	8	17	need	need	NOUN
gs-2797	8	18	for	for	ADP
gs-2797	8	19	robust	robust	ADJ
gs-2797	8	20	methodologies	methodology	NOUN
gs-2797	8	21	capable	capable	ADJ
gs-2797	8	22	of	of	ADP
gs-2797	8	23	navigating	navigate	VERB
gs-2797	8	24	uncertainties	uncertainty	NOUN
gs-2797	8	25	.	.	PUNCT
gs-2797	9	1	through	through	ADP
gs-2797	9	2	comprehensive	comprehensive	ADJ
gs-2797	9	3	analysis	analysis	NOUN
gs-2797	9	4	and	and	CCONJ
gs-2797	9	5	experimentation	experimentation	NOUN
gs-2797	9	6	,	,	PUNCT
gs-2797	9	7	this	this	DET
gs-2797	9	8	research	research	NOUN
gs-2797	9	9	contributes	contribute	VERB
gs-2797	9	10	to	to	ADP
gs-2797	9	11	the	the	DET
gs-2797	9	12	ongoing	ongoing	ADJ
gs-2797	9	13	discourse	discourse	NOUN
gs-2797	9	14	surrounding	surround	VERB
gs-2797	9	15	optimization	optimization	NOUN
gs-2797	9	16	methodologies	methodology	NOUN
gs-2797	9	17	,	,	PUNCT
gs-2797	9	18	shedding	shed	VERB
gs-2797	9	19	light	light	NOUN
gs-2797	9	20	on	on	ADP
gs-2797	9	21	their	their	PRON
gs-2797	9	22	effectiveness	effectiveness	NOUN
gs-2797	9	23	and	and	CCONJ
gs-2797	9	24	applicability	applicability	NOUN
gs-2797	9	25	in	in	ADP
gs-2797	9	26	diverse	diverse	ADJ
gs-2797	9	27	engineering	engineering	NOUN
gs-2797	9	28	contexts	contexts	NOUN
gs-2797	9	29	.	.	PUNCT
gs-2797	10	1	key	key	ADJ
gs-2797	10	2	words	word	NOUN
gs-2797	10	3	:	:	PUNCT
gs-2797	10	4	optimization	optimization	NOUN
gs-2797	10	5	theory	theory	NOUN
gs-2797	10	6	,	,	PUNCT
gs-2797	10	7	engineering	engineering	NOUN
gs-2797	10	8	practice	practice	NOUN
gs-2797	10	9	,	,	PUNCT
gs-2797	10	10	optimal	optimal	ADJ
gs-2797	10	11	management	management	NOUN
gs-2797	10	12	techniques	technique	NOUN
gs-2797	10	13	,	,	PUNCT
gs-2797	10	14	fastest	fast	ADJ
gs-2797	10	15	ascent	ascent	NOUN
gs-2797	10	16	method	method	NOUN
gs-2797	10	17	,	,	PUNCT
gs-2797	10	18	rosenbrock	rosenbrock	NOUN
gs-2797	10	19	function	function	NOUN
gs-2797	10	20	.	.	PUNCT
gs-2797	11	1	introduction	introduction	NOUN
gs-2797	11	2	at	at	ADP
gs-2797	11	3	the	the	DET
gs-2797	11	4	modern	modern	ADJ
gs-2797	11	5	stage	stage	NOUN
gs-2797	11	6	,	,	PUNCT
gs-2797	11	7	the	the	DET
gs-2797	11	8	theory	theory	NOUN
gs-2797	11	9	of	of	ADP
gs-2797	11	10	optimization	optimization	NOUN
gs-2797	11	11	makes	make	VERB
gs-2797	11	12	a	a	DET
gs-2797	11	13	significant	significant	ADJ
gs-2797	11	14	contribution	contribution	NOUN
gs-2797	11	15	to	to	ADP
gs-2797	11	16	scientific	scientific	ADJ
gs-2797	11	17	and	and	CCONJ
gs-2797	11	18	technical	technical	ADJ
gs-2797	11	19	progress	progress	NOUN
gs-2797	11	20	.	.	PUNCT
gs-2797	12	1	it	it	PRON
gs-2797	12	2	is	be	AUX
gs-2797	12	3	difficult	difficult	ADJ
gs-2797	12	4	to	to	PART
gs-2797	12	5	find	find	VERB
gs-2797	12	6	a	a	DET
gs-2797	12	7	field	field	NOUN
gs-2797	12	8	of	of	ADP
gs-2797	12	9	engineering	engineering	NOUN
gs-2797	12	10	activity	activity	NOUN
gs-2797	12	11	where	where	SCONJ
gs-2797	12	12	the	the	DET
gs-2797	12	13	problem	problem	NOUN
gs-2797	12	14	of	of	ADP
gs-2797	12	15	optimization	optimization	NOUN
gs-2797	12	16	in	in	ADP
gs-2797	12	17	the	the	DET
gs-2797	12	18	tasks	task	NOUN
gs-2797	12	19	to	to	PART
gs-2797	12	20	be	be	AUX
gs-2797	12	21	performed	perform	VERB
gs-2797	12	22	is	be	AUX
gs-2797	12	23	not	not	PART
gs-2797	12	24	solved	solve	VERB
gs-2797	12	25	.	.	PUNCT
gs-2797	13	1	it	it	PRON
gs-2797	13	2	can	can	AUX
gs-2797	13	3	be	be	AUX
gs-2797	13	4	the	the	DET
gs-2797	13	5	task	task	NOUN
gs-2797	13	6	of	of	ADP
gs-2797	13	7	determining	determine	VERB
gs-2797	13	8	the	the	DET
gs-2797	13	9	effective	effective	ADJ
gs-2797	13	10	mode	mode	NOUN
gs-2797	13	11	of	of	ADP
gs-2797	13	12	operation	operation	NOUN
gs-2797	13	13	of	of	ADP
gs-2797	13	14	the	the	DET
gs-2797	13	15	chemical	chemical	NOUN
gs-2797	13	16	-	-	PUNCT
gs-2797	13	17	technological	technological	ADJ
gs-2797	13	18	system	system	NOUN
gs-2797	13	19	,	,	PUNCT
gs-2797	13	20	the	the	DET
gs-2797	13	21	operation	operation	NOUN
gs-2797	13	22	of	of	ADP
gs-2797	13	23	various	various	ADJ
gs-2797	13	24	technical	technical	ADJ
gs-2797	13	25	devices	device	NOUN
gs-2797	13	26	,	,	PUNCT
gs-2797	13	27	the	the	DET
gs-2797	13	28	tasks	task	NOUN
gs-2797	13	29	of	of	ADP
gs-2797	13	30	solving	solve	VERB
gs-2797	13	31	the	the	DET
gs-2797	13	32	problem	problem	NOUN
gs-2797	13	33	of	of	ADP
gs-2797	13	34	the	the	DET
gs-2797	13	35	production	production	NOUN
gs-2797	13	36	organization	organization	NOUN
gs-2797	13	37	,	,	PUNCT
gs-2797	13	38	and	and	CCONJ
gs-2797	13	39	others	other	NOUN
gs-2797	13	40	.	.	PUNCT
gs-2797	14	1	optimal	optimal	ADJ
gs-2797	14	2	management	management	NOUN
gs-2797	14	3	is	be	AUX
gs-2797	14	4	widely	widely	ADV
gs-2797	14	5	used	use	VERB
gs-2797	14	6	in	in	ADP
gs-2797	14	7	conditions	condition	NOUN
gs-2797	14	8	of	of	ADP
gs-2797	14	9	complex	complex	ADJ
gs-2797	14	10	automation	automation	NOUN
gs-2797	14	11	of	of	ADP
gs-2797	14	12	technological	technological	ADJ
gs-2797	14	13	and	and	CCONJ
gs-2797	14	14	industrial	industrial	ADJ
gs-2797	14	15	processes	process	NOUN
gs-2797	14	16	or	or	CCONJ
gs-2797	14	17	complex	complex	ADJ
gs-2797	14	18	technical	technical	ADJ
gs-2797	14	19	equipment	equipment	NOUN
gs-2797	14	20	.	.	PUNCT
gs-2797	15	1	georgian	georgian	NOUN
gs-2797	15	2	scientists/	scientists/	NUM
gs-2797	15	3	.	.	PUNCT
gs-2797	16	1	6	6	NUM
gs-2797	16	2	n	n	NUM
gs-2797	16	3	2	2	NUM
gs-2797	16	4	,	,	PUNCT
gs-2797	16	5	2024	2024	NUM
gs-2797	16	6	287	287	NUM
gs-2797	16	7	the	the	DET
gs-2797	16	8	goal	goal	NOUN
gs-2797	16	9	of	of	ADP
gs-2797	16	10	optimization	optimization	NOUN
gs-2797	16	11	is	be	AUX
gs-2797	16	12	to	to	PART
gs-2797	16	13	select	select	VERB
gs-2797	16	14	the	the	DET
gs-2797	16	15	best	good	ADJ
gs-2797	16	16	solution	solution	NOUN
gs-2797	16	17	among	among	ADP
gs-2797	16	18	potentially	potentially	ADV
gs-2797	16	19	possible	possible	ADJ
gs-2797	16	20	outcomes	outcome	NOUN
gs-2797	16	21	using	use	VERB
gs-2797	16	22	appropriate	appropriate	ADJ
gs-2797	16	23	performance	performance	NOUN
gs-2797	16	24	criteria	criterion	NOUN
gs-2797	16	25	.	.	PUNCT
gs-2797	17	1	optimization	optimization	NOUN
gs-2797	17	2	can	can	AUX
gs-2797	17	3	be	be	AUX
gs-2797	17	4	carried	carry	VERB
gs-2797	17	5	out	out	ADP
gs-2797	17	6	using	use	VERB
gs-2797	17	7	many	many	ADJ
gs-2797	17	8	different	different	ADJ
gs-2797	17	9	strategies	strategy	NOUN
gs-2797	17	10	,	,	PUNCT
gs-2797	17	11	which	which	PRON
gs-2797	17	12	can	can	AUX
gs-2797	17	13	begin	begin	VERB
gs-2797	17	14	with	with	ADP
gs-2797	17	15	the	the	DET
gs-2797	17	16	use	use	NOUN
gs-2797	17	17	of	of	ADP
gs-2797	17	18	complex	complex	ADJ
gs-2797	17	19	analytical	analytical	ADJ
gs-2797	17	20	and	and	CCONJ
gs-2797	17	21	quantitative	quantitative	ADJ
gs-2797	17	22	procedures	procedure	NOUN
gs-2797	17	23	and	and	CCONJ
gs-2797	17	24	end	end	VERB
gs-2797	17	25	with	with	ADP
gs-2797	17	26	the	the	DET
gs-2797	17	27	judicious	judicious	ADJ
gs-2797	17	28	use	use	NOUN
gs-2797	17	29	of	of	ADP
gs-2797	17	30	simple	simple	ADJ
gs-2797	17	31	arithmetic	arithmetic	NOUN
gs-2797	17	32	.	.	PUNCT
gs-2797	18	1	numerical	numerical	PROPN
gs-2797	18	2	optimization	optimization	NOUN
gs-2797	18	3	is	be	AUX
gs-2797	18	4	one	one	NUM
gs-2797	18	5	of	of	ADP
gs-2797	18	6	the	the	DET
gs-2797	18	7	central	central	ADJ
gs-2797	18	8	methods	method	NOUN
gs-2797	18	9	of	of	ADP
gs-2797	18	10	machine	machine	NOUN
gs-2797	18	11	learning	learning	NOUN
gs-2797	18	12	.	.	PUNCT
gs-2797	19	1	for	for	ADP
gs-2797	19	2	many	many	ADJ
gs-2797	19	3	problems	problem	NOUN
gs-2797	19	4	it	it	PRON
gs-2797	19	5	is	be	AUX
gs-2797	19	6	difficult	difficult	ADJ
gs-2797	19	7	to	to	PART
gs-2797	19	8	determine	determine	VERB
gs-2797	19	9	the	the	DET
gs-2797	19	10	best	good	ADJ
gs-2797	19	11	direct	direct	ADJ
gs-2797	19	12	solution	solution	NOUN
gs-2797	19	13	,	,	PUNCT
gs-2797	19	14	but	but	CCONJ
gs-2797	19	15	it	it	PRON
gs-2797	19	16	is	be	AUX
gs-2797	19	17	relatively	relatively	ADV
gs-2797	19	18	easy	easy	ADJ
gs-2797	19	19	to	to	PART
gs-2797	19	20	determine	determine	VERB
gs-2797	19	21	an	an	DET
gs-2797	19	22	error	error	NOUN
gs-2797	19	23	function	function	NOUN
gs-2797	19	24	that	that	PRON
gs-2797	19	25	measures	measure	VERB
gs-2797	19	26	how	how	SCONJ
gs-2797	19	27	accurately	accurately	ADV
gs-2797	19	28	the	the	DET
gs-2797	19	29	chosen	choose	VERB
gs-2797	19	30	method	method	NOUN
gs-2797	19	31	is	be	AUX
gs-2797	19	32	,	,	PUNCT
gs-2797	19	33	and	and	CCONJ
gs-2797	19	34	then	then	ADV
gs-2797	19	35	the	the	DET
gs-2797	19	36	task	task	NOUN
gs-2797	19	37	of	of	ADP
gs-2797	19	38	minimizing	minimize	VERB
gs-2797	19	39	the	the	DET
gs-2797	19	40	parameters	parameter	NOUN
gs-2797	19	41	of	of	ADP
gs-2797	19	42	this	this	DET
gs-2797	19	43	function	function	NOUN
gs-2797	19	44	in	in	ADP
gs-2797	19	45	order	order	NOUN
gs-2797	19	46	to	to	PART
gs-2797	19	47	find	find	VERB
gs-2797	19	48	the	the	DET
gs-2797	19	49	best	good	ADJ
gs-2797	19	50	solution	solution	NOUN
gs-2797	19	51	.	.	PUNCT
gs-2797	20	1	researchers	researcher	NOUN
gs-2797	20	2	and	and	CCONJ
gs-2797	20	3	engineers	engineer	NOUN
gs-2797	20	4	are	be	AUX
gs-2797	20	5	often	often	ADV
gs-2797	20	6	faced	face	VERB
gs-2797	20	7	with	with	ADP
gs-2797	20	8	the	the	DET
gs-2797	20	9	challenge	challenge	NOUN
gs-2797	20	10	of	of	ADP
gs-2797	20	11	predicting	predict	VERB
gs-2797	20	12	the	the	DET
gs-2797	20	13	behavior	behavior	NOUN
gs-2797	20	14	of	of	ADP
gs-2797	20	15	certain	certain	ADJ
gs-2797	20	16	systems	system	NOUN
gs-2797	20	17	or	or	CCONJ
gs-2797	20	18	processes	process	NOUN
gs-2797	20	19	in	in	ADP
gs-2797	20	20	order	order	NOUN
gs-2797	20	21	to	to	PART
gs-2797	20	22	control	control	VERB
gs-2797	20	23	them	they	PRON
gs-2797	20	24	.	.	PUNCT
gs-2797	21	1	this	this	DET
gs-2797	21	2	task	task	NOUN
gs-2797	21	3	can	can	AUX
gs-2797	21	4	be	be	AUX
gs-2797	21	5	solved	solve	VERB
gs-2797	21	6	through	through	ADP
gs-2797	21	7	mathematical	mathematical	ADJ
gs-2797	21	8	models	model	NOUN
gs-2797	21	9	[	[	X
gs-2797	21	10	1,2	1,2	NUM
gs-2797	21	11	]	]	PUNCT
gs-2797	21	12	and	and	CCONJ
gs-2797	21	13	numerical	numerical	ADJ
gs-2797	21	14	modeling	modeling	NOUN
gs-2797	21	15	[	[	X
gs-2797	21	16	3	3	NUM
gs-2797	21	17	]	]	PUNCT
gs-2797	21	18	.	.	PUNCT
gs-2797	22	1	although	although	SCONJ
gs-2797	22	2	numerical	numerical	ADJ
gs-2797	22	3	simulations	simulation	NOUN
gs-2797	22	4	usually	usually	ADV
gs-2797	22	5	provide	provide	VERB
gs-2797	22	6	a	a	DET
gs-2797	22	7	good	good	ADJ
gs-2797	22	8	prediction	prediction	NOUN
gs-2797	22	9	of	of	ADP
gs-2797	22	10	the	the	DET
gs-2797	22	11	behavior	behavior	NOUN
gs-2797	22	12	and	and	CCONJ
gs-2797	22	13	properties	property	NOUN
gs-2797	22	14	of	of	ADP
gs-2797	22	15	a	a	DET
gs-2797	22	16	certain	certain	ADJ
gs-2797	22	17	system	system	NOUN
gs-2797	22	18	[	[	X
gs-2797	22	19	3	3	NUM
gs-2797	22	20	]	]	PUNCT
gs-2797	22	21	,	,	PUNCT
gs-2797	22	22	initially	initially	ADV
gs-2797	22	23	,	,	PUNCT
gs-2797	22	24	it	it	PRON
gs-2797	22	25	is	be	AUX
gs-2797	22	26	impossible	impossible	ADJ
gs-2797	22	27	to	to	PART
gs-2797	22	28	determine	determine	VERB
gs-2797	22	29	which	which	PRON
gs-2797	22	30	of	of	ADP
gs-2797	22	31	the	the	DET
gs-2797	22	32	many	many	ADJ
gs-2797	22	33	alternatives	alternative	NOUN
gs-2797	22	34	is	be	AUX
gs-2797	22	35	the	the	DET
gs-2797	22	36	best	good	ADJ
gs-2797	22	37	choice	choice	NOUN
gs-2797	23	1	[	[	X
gs-2797	23	2	2	2	NUM
gs-2797	23	3	]	]	PUNCT
gs-2797	23	4	.	.	PUNCT
gs-2797	24	1	since	since	SCONJ
gs-2797	24	2	the	the	DET
gs-2797	24	3	research	research	NOUN
gs-2797	24	4	activity	activity	NOUN
gs-2797	24	5	is	be	AUX
gs-2797	24	6	aimed	aim	VERB
gs-2797	24	7	at	at	ADP
gs-2797	24	8	finding	find	VERB
gs-2797	24	9	an	an	DET
gs-2797	24	10	alternative	alternative	NOUN
gs-2797	24	11	with	with	ADP
gs-2797	24	12	the	the	DET
gs-2797	24	13	best	good	ADJ
gs-2797	24	14	properties	property	NOUN
gs-2797	24	15	,	,	PUNCT
gs-2797	24	16	engineers	engineer	NOUN
gs-2797	24	17	and	and	CCONJ
gs-2797	24	18	researchers	researcher	NOUN
gs-2797	24	19	in	in	ADP
gs-2797	24	20	the	the	DET
gs-2797	24	21	field	field	NOUN
gs-2797	24	22	of	of	ADP
gs-2797	24	23	engineering	engineering	NOUN
gs-2797	24	24	optimization	optimization	NOUN
gs-2797	24	25	actively	actively	ADV
gs-2797	24	26	use	use	VERB
gs-2797	24	27	a	a	DET
gs-2797	24	28	mathematical	mathematical	ADJ
gs-2797	24	29	approach	approach	NOUN
gs-2797	24	30	,	,	PUNCT
gs-2797	24	31	optimal	optimal	ADJ
gs-2797	24	32	control	control	NOUN
gs-2797	24	33	methods	method	NOUN
gs-2797	24	34	[	[	X
gs-2797	24	35	3	3	NUM
gs-2797	24	36	]	]	PUNCT
gs-2797	24	37	.	.	PUNCT
gs-2797	25	1	in	in	ADP
gs-2797	25	2	engineering	engineering	NOUN
gs-2797	25	3	practice	practice	NOUN
gs-2797	25	4	,	,	PUNCT
gs-2797	25	5	it	it	PRON
gs-2797	25	6	often	often	ADV
gs-2797	25	7	happens	happen	VERB
gs-2797	25	8	like	like	ADP
gs-2797	25	9	this	this	PRON
gs-2797	25	10	the	the	DET
gs-2797	25	11	goal	goal	NOUN
gs-2797	25	12	of	of	ADP
gs-2797	25	13	optimization	optimization	NOUN
gs-2797	25	14	is	be	AUX
gs-2797	25	15	mathematically	mathematically	ADV
gs-2797	25	16	determined	determine	VERB
gs-2797	25	17	by	by	ADP
gs-2797	25	18	the	the	DET
gs-2797	25	19	objective	objective	ADJ
gs-2797	25	20	function	function	NOUN
gs-2797	25	21	which	which	PRON
gs-2797	25	22	is	be	AUX
gs-2797	25	23	formulated	formulate	VERB
gs-2797	25	24	taking	take	VERB
gs-2797	25	25	into	into	ADP
gs-2797	25	26	account	account	NOUN
gs-2797	25	27	technical	technical	ADJ
gs-2797	25	28	or	or	CCONJ
gs-2797	25	29	economic	economic	ADJ
gs-2797	25	30	requirements	requirement	NOUN
gs-2797	25	31	,	,	PUNCT
gs-2797	25	32	which	which	PRON
gs-2797	25	33	is	be	AUX
gs-2797	25	34	based	base	VERB
gs-2797	25	35	on	on	ADP
gs-2797	25	36	trials	trial	NOUN
gs-2797	25	37	and	and	CCONJ
gs-2797	25	38	research	research	NOUN
gs-2797	25	39	,	,	PUNCT
gs-2797	25	40	which	which	PRON
gs-2797	25	41	allows	allow	VERB
gs-2797	25	42	us	we	PRON
gs-2797	25	43	to	to	PART
gs-2797	25	44	get	get	VERB
gs-2797	25	45	the	the	DET
gs-2797	25	46	system	system	NOUN
gs-2797	25	47	with	with	ADP
gs-2797	25	48	the	the	DET
gs-2797	25	49	best	good	ADJ
gs-2797	25	50	data	datum	NOUN
gs-2797	25	51	.	.	PUNCT
gs-2797	26	1	however	however	ADV
gs-2797	26	2	,	,	PUNCT
gs-2797	26	3	when	when	SCONJ
gs-2797	26	4	using	use	VERB
gs-2797	26	5	a	a	DET
gs-2797	26	6	scientific	scientific	ADJ
gs-2797	26	7	approach	approach	NOUN
gs-2797	26	8	to	to	PART
gs-2797	26	9	solve	solve	VERB
gs-2797	26	10	a	a	DET
gs-2797	26	11	real	real	ADJ
gs-2797	26	12	problem	problem	NOUN
gs-2797	26	13	,	,	PUNCT
gs-2797	26	14	we	we	PRON
gs-2797	26	15	are	be	AUX
gs-2797	26	16	faced	face	VERB
gs-2797	26	17	with	with	ADP
gs-2797	26	18	an	an	DET
gs-2797	26	19	infinite	infinite	ADJ
gs-2797	26	20	number	number	NOUN
gs-2797	26	21	of	of	ADP
gs-2797	26	22	optimization	optimization	NOUN
gs-2797	26	23	methods	method	NOUN
gs-2797	26	24	and	and	CCONJ
gs-2797	26	25	corresponding	correspond	VERB
gs-2797	26	26	software	software	NOUN
gs-2797	26	27	for	for	ADP
gs-2797	26	28	the	the	DET
gs-2797	26	29	formulation	formulation	NOUN
gs-2797	26	30	and	and	CCONJ
gs-2797	26	31	solution	solution	NOUN
gs-2797	26	32	of	of	ADP
gs-2797	26	33	the	the	DET
gs-2797	26	34	optimization	optimization	NOUN
gs-2797	26	35	problem	problem	NOUN
gs-2797	26	36	.	.	PUNCT
gs-2797	27	1	since	since	SCONJ
gs-2797	27	2	there	there	PRON
gs-2797	27	3	is	be	VERB
gs-2797	27	4	no	no	DET
gs-2797	27	5	universal	universal	ADJ
gs-2797	27	6	optimization	optimization	NOUN
gs-2797	27	7	algorithm	algorithm	NOUN
gs-2797	27	8	that	that	PRON
gs-2797	27	9	can	can	AUX
gs-2797	27	10	be	be	AUX
gs-2797	27	11	used	use	VERB
gs-2797	27	12	to	to	PART
gs-2797	27	13	solve	solve	VERB
gs-2797	27	14	any	any	DET
gs-2797	27	15	problem	problem	NOUN
gs-2797	27	16	,	,	PUNCT
gs-2797	27	17	it	it	PRON
gs-2797	27	18	is	be	AUX
gs-2797	27	19	important	important	ADJ
gs-2797	27	20	to	to	PART
gs-2797	27	21	evaluate	evaluate	VERB
gs-2797	27	22	the	the	DET
gs-2797	27	23	effectiveness	effectiveness	NOUN
gs-2797	27	24	of	of	ADP
gs-2797	27	25	these	these	DET
gs-2797	27	26	methods	method	NOUN
gs-2797	27	27	in	in	ADP
gs-2797	27	28	different	different	ADJ
gs-2797	27	29	conditions	condition	NOUN
gs-2797	27	30	.	.	PUNCT
gs-2797	28	1	main	main	ADJ
gs-2797	28	2	part	part	NOUN
gs-2797	28	3	our	our	PRON
gs-2797	28	4	primary	primary	ADJ
gs-2797	28	5	objective	objective	NOUN
gs-2797	28	6	is	be	AUX
gs-2797	28	7	to	to	PART
gs-2797	28	8	explore	explore	VERB
gs-2797	28	9	the	the	DET
gs-2797	28	10	most	most	ADV
gs-2797	28	11	efficient	efficient	ADJ
gs-2797	28	12	access	access	NOUN
gs-2797	28	13	method	method	NOUN
gs-2797	28	14	,	,	PUNCT
gs-2797	28	15	especially	especially	ADV
gs-2797	28	16	when	when	SCONJ
gs-2797	28	17	the	the	DET
gs-2797	28	18	bid	bid	NOUN
gs-2797	28	19	length	length	NOUN
gs-2797	28	20	is	be	AUX
gs-2797	28	21	contingent	contingent	ADJ
gs-2797	28	22	upon	upon	SCONJ
gs-2797	28	23	the	the	DET
gs-2797	28	24	characteristics	characteristic	NOUN
gs-2797	28	25	of	of	ADP
gs-2797	28	26	the	the	DET
gs-2797	28	27	optimization	optimization	NOUN
gs-2797	28	28	function	function	NOUN
gs-2797	28	29	.	.	PUNCT
gs-2797	29	1	the	the	DET
gs-2797	29	2	swiftest	swift	ADJ
gs-2797	29	3	approach	approach	NOUN
gs-2797	29	4	involves	involve	VERB
gs-2797	29	5	an	an	DET
gs-2797	29	6	iterative	iterative	ADJ
gs-2797	29	7	algorithm	algorithm	NOUN
gs-2797	29	8	that	that	PRON
gs-2797	29	9	navigates	navigate	VERB
gs-2797	29	10	towards	towards	ADP
gs-2797	29	11	the	the	DET
gs-2797	29	12	extremum	extremum	ADJ
gs-2797	29	13	within	within	ADP
gs-2797	29	14	the	the	DET
gs-2797	29	15	specified	specified	ADJ
gs-2797	29	16	range	range	NOUN
gs-2797	29	17	of	of	ADP
gs-2797	29	18	argument	argument	NOUN
gs-2797	29	19	values	value	NOUN
gs-2797	29	20	.	.	PUNCT
gs-2797	30	1	this	this	DET
gs-2797	30	2	process	process	NOUN
gs-2797	30	3	entails	entail	VERB
gs-2797	30	4	moving	move	VERB
gs-2797	30	5	from	from	ADP
gs-2797	30	6	a	a	DET
gs-2797	30	7	chosen	choose	VERB
gs-2797	30	8	point	point	NOUN
gs-2797	30	9	towards	towards	ADP
gs-2797	30	10	the	the	DET
gs-2797	30	11	direction	direction	NOUN
gs-2797	30	12	of	of	ADP
gs-2797	30	13	the	the	DET
gs-2797	30	14	function	function	NOUN
gs-2797	30	15	's	's	PART
gs-2797	30	16	minimum	minimum	ADJ
gs-2797	30	17	value	value	NOUN
gs-2797	30	18	.	.	PUNCT
gs-2797	31	1	this	this	DET
gs-2797	31	2	direction	direction	NOUN
gs-2797	31	3	is	be	AUX
gs-2797	31	4	essentially	essentially	ADV
gs-2797	31	5	the	the	DET
gs-2797	31	6	opposite	opposite	NOUN
gs-2797	31	7	of	of	ADP
gs-2797	31	8	that	that	PRON
gs-2797	31	9	indicated	indicate	VERB
gs-2797	31	10	by	by	ADP
gs-2797	31	11	the	the	DET
gs-2797	31	12	gradient	gradient	NOUN
gs-2797	31	13	vector	vector	NOUN
gs-2797	31	14	(	(	PUNCT
gs-2797	31	15	f(x	f(x	PROPN
gs-2797	31	16	)	)	PUNCT
gs-2797	31	17	)	)	PUNCT
gs-2797	31	18	of	of	ADP
gs-2797	31	19	the	the	DET
gs-2797	31	20	optimization	optimization	NOUN
gs-2797	31	21	function	function	VERB
gs-2797	31	22	f(x	f(x	PROPN
gs-2797	31	23	)	)	PUNCT
gs-2797	31	24	.	.	PUNCT
gs-2797	32	1	(	(	PUNCT
gs-2797	32	2	)	)	PUNCT
gs-2797	32	3	=	=	SYM
gs-2797	32	4	,	,	PUNCT
gs-2797	32	5	,	,	PUNCT
gs-2797	32	6	…	…	PUNCT
gs-2797	32	7	,	,	PUNCT
gs-2797	32	8	,	,	PUNCT
gs-2797	32	9	(	(	PUNCT
gs-2797	32	10	1	1	X
gs-2797	32	11	)	)	PUNCT
gs-2797	32	12	the	the	DET
gs-2797	32	13	formula	formula	NOUN
gs-2797	32	14	for	for	ADP
gs-2797	32	15	determining	determine	VERB
gs-2797	32	16	the	the	DET
gs-2797	32	17	argument	argument	NOUN
gs-2797	32	18	with	with	ADP
gs-2797	32	19	the	the	DET
gs-2797	32	20	value	value	NOUN
gs-2797	32	21	on	on	ADP
gs-2797	32	22	the	the	DET
gs-2797	32	23	k	k	NOUN
gs-2797	32	24	-	-	PUNCT
gs-2797	32	25	th	th	VERB
gs-2797	32	26	bit	bit	NOUN
gs-2797	32	27	using	use	VERB
gs-2797	32	28	the	the	DET
gs-2797	32	29	fastest	fast	ADJ
gs-2797	32	30	approach	approach	NOUN
gs-2797	32	31	method	method	NOUN
gs-2797	32	32	is	be	AUX
gs-2797	32	33	as	as	SCONJ
gs-2797	32	34	follows	follow	VERB
gs-2797	32	35	:	:	PUNCT
gs-2797	32	36	=	=	X
gs-2797	33	1	+	+	CCONJ
gs-2797	33	2	where	where	SCONJ
gs-2797	33	3	is	be	AUX
gs-2797	33	4	a	a	DET
gs-2797	33	5	unit	unit	NOUN
gs-2797	33	6	vector	vector	NOUN
gs-2797	33	7	pointing	pointing	NOUN
gs-2797	33	8	in	in	ADP
gs-2797	33	9	the	the	DET
gs-2797	33	10	opposite	opposite	ADJ
gs-2797	33	11	direction	direction	NOUN
gs-2797	33	12	of	of	ADP
gs-2797	33	13	the	the	DET
gs-2797	33	14	gradient	gradient	NOUN
gs-2797	33	15	(	(	PUNCT
gs-2797	33	16	)	)	PUNCT
gs-2797	33	17	at	at	ADP
gs-2797	33	18	the	the	DET
gs-2797	33	19	specified	specified	ADJ
gs-2797	33	20	point	point	NOUN
gs-2797	33	21	.	.	PUNCT
gs-2797	34	1	(	(	PUNCT
gs-2797	34	2	)	)	PUNCT
gs-2797	34	3	=	=	SYM
gs-2797	34	4	(	(	PUNCT
gs-2797	34	5	(	(	PUNCT
gs-2797	34	6	)	)	PUNCT
gs-2797	34	7	)	)	PUNCT
gs-2797	34	8	(	(	PUNCT
gs-2797	34	9	(	(	PUNCT
gs-2797	34	10	)	)	PUNCT
gs-2797	34	11	)	)	PUNCT
gs-2797	35	1	georgian	georgian	NOUN
gs-2797	35	2	scientists/	scientists/	NUM
gs-2797	35	3	.	.	PUNCT
gs-2797	36	1	6	6	NUM
gs-2797	36	2	n	n	NUM
gs-2797	36	3	2	2	NUM
gs-2797	36	4	,	,	PUNCT
gs-2797	36	5	2024	2024	NUM
gs-2797	36	6	288	288	NUM
gs-2797	36	7	we	we	PRON
gs-2797	36	8	tested	test	VERB
gs-2797	36	9	the	the	DET
gs-2797	36	10	algorithm	algorithm	NOUN
gs-2797	36	11	using	use	VERB
gs-2797	36	12	the	the	DET
gs-2797	36	13	minimization	minimization	NOUN
gs-2797	36	14	of	of	ADP
gs-2797	36	15	a	a	DET
gs-2797	36	16	function	function	NOUN
gs-2797	36	17	of	of	ADP
gs-2797	36	18	two	two	NUM
gs-2797	36	19	variables	variable	NOUN
gs-2797	36	20	,	,	PUNCT
gs-2797	36	21	specifically	specifically	ADV
gs-2797	36	22	the	the	DET
gs-2797	36	23	rosenbrock	rosenbrock	NOUN
gs-2797	36	24	function	function	NOUN
gs-2797	36	25	,	,	PUNCT
gs-2797	36	26	as	as	ADP
gs-2797	36	27	an	an	DET
gs-2797	36	28	example	example	NOUN
gs-2797	36	29	.	.	PUNCT
gs-2797	37	1	we	we	PRON
gs-2797	37	2	established	establish	VERB
gs-2797	37	3	the	the	DET
gs-2797	37	4	necessary	necessary	ADJ
gs-2797	37	5	parameters	parameter	NOUN
gs-2797	37	6	,	,	PUNCT
gs-2797	37	7	with	with	SCONJ
gs-2797	37	8	the	the	DET
gs-2797	37	9	notations	notation	NOUN
gs-2797	37	10	aligning	align	VERB
gs-2797	37	11	with	with	ADP
gs-2797	37	12	those	those	PRON
gs-2797	37	13	used	use	VERB
gs-2797	37	14	in	in	ADP
gs-2797	37	15	the	the	DET
gs-2797	37	16	mathcad	mathcad	PROPN
gs-2797	37	17	software	software	NOUN
gs-2797	37	18	system	system	NOUN
gs-2797	37	19	:	:	PUNCT
gs-2797	37	20	n:=20	n:=20	VERB
gs-2797	37	21	the	the	DET
gs-2797	37	22	maximum	maximum	ADJ
gs-2797	37	23	number	number	NOUN
gs-2797	37	24	of	of	ADP
gs-2797	37	25	iterations	iteration	NOUN
gs-2797	37	26	on	on	ADP
gs-2797	37	27	the	the	DET
gs-2797	37	28	x	x	NOUN
gs-2797	37	29	and	and	CCONJ
gs-2797	37	30	y	y	PROPN
gs-2797	37	31	axes	axis	NOUN
gs-2797	37	32	;	;	PUNCT
gs-2797	37	33	i	i	PRON
gs-2797	37	34	:	:	PUNCT
gs-2797	37	35	0	0	NUM
gs-2797	37	36	..	..	SYM
gs-2797	37	37	n	n	CCONJ
gs-2797	37	38	,	,	PUNCT
gs-2797	37	39	j	j	NOUN
gs-2797	37	40	:	:	PUNCT
gs-2797	37	41	0n	0n	NOUN
gs-2797	37	42	the	the	DET
gs-2797	37	43	sequence	sequence	NOUN
gs-2797	37	44	number	number	NOUN
gs-2797	37	45	of	of	ADP
gs-2797	37	46	calculations	calculation	NOUN
gs-2797	37	47	;	;	PUNCT
gs-2797	37	48	a1:=	a1:=	PROPN
gs-2797	37	49	0.2	0.2	NUM
gs-2797	37	50	,	,	PUNCT
gs-2797	37	51	a2:=	a2:=	PROPN
gs-2797	37	52	0.2	0.2	NUM
gs-2797	37	53	;	;	PUNCT
gs-2797	37	54	b1:=0.06	b1:=0.06	NUM
gs-2797	37	55	,	,	PUNCT
gs-2797	37	56	b2:=0.06	b2:=0.06	ADV
gs-2797	37	57	;	;	PUNCT
gs-2797	37	58	xi	xi	PROPN
gs-2797	37	59	=	=	PROPN
gs-2797	37	60	a1+b1	a1+b1	PROPN
gs-2797	37	61	i	i	PROPN
gs-2797	37	62	,	,	PUNCT
gs-2797	37	63	yj	yj	PROPN
gs-2797	37	64	=	=	PROPN
gs-2797	37	65	a2+b2	a2+b2	PROPN
gs-2797	37	66	j	j	PROPN
gs-2797	37	67	;	;	PUNCT
gs-2797	37	68	formulas	formula	NOUN
gs-2797	37	69	for	for	ADP
gs-2797	37	70	computing	compute	VERB
gs-2797	37	71	the	the	DET
gs-2797	37	72	arguments	argument	NOUN
gs-2797	37	73	of	of	ADP
gs-2797	37	74	the	the	DET
gs-2797	37	75	i	i	PROPN
gs-2797	37	76	-	-	PUNCT
gs-2797	37	77	th	th	X
gs-2797	37	78	and	and	CCONJ
gs-2797	37	79	j	j	PROPN
gs-2797	37	80	-	-	PUNCT
gs-2797	37	81	th	th	VERB
gs-2797	37	82	order	order	NOUN
gs-2797	37	83	:	:	PUNCT
gs-2797	37	84	mij:=f(xi	mij:=f(xi	PROPN
gs-2797	37	85	,	,	PUNCT
gs-2797	37	86	yj	yj	PROPN
gs-2797	37	87	)	)	PUNCT
gs-2797	37	88	matrix	matrix	NOUN
gs-2797	37	89	of	of	ADP
gs-2797	37	90	rosenbrock	rosenbrock	NOUN
gs-2797	37	91	function	function	NOUN
gs-2797	37	92	values	value	NOUN
gs-2797	37	93	.	.	PUNCT
gs-2797	38	1	as	as	SCONJ
gs-2797	38	2	depicted	depict	VERB
gs-2797	38	3	in	in	ADP
gs-2797	38	4	the	the	DET
gs-2797	38	5	figure	figure	NOUN
gs-2797	38	6	,	,	PUNCT
gs-2797	38	7	the	the	DET
gs-2797	38	8	function	function	NOUN
gs-2797	38	9	exhibits	exhibit	VERB
gs-2797	38	10	a	a	DET
gs-2797	38	11	flat	flat	ADJ
gs-2797	38	12	bottom	bottom	NOUN
gs-2797	38	13	.	.	PUNCT
gs-2797	39	1	near	near	ADP
gs-2797	39	2	this	this	DET
gs-2797	39	3	bottom	bottom	NOUN
gs-2797	39	4	,	,	PUNCT
gs-2797	39	5	the	the	DET
gs-2797	39	6	gradient	gradient	NOUN
gs-2797	39	7	assumes	assume	VERB
gs-2797	39	8	small	small	ADJ
gs-2797	39	9	values	value	NOUN
gs-2797	39	10	.	.	PUNCT
gs-2797	40	1	hence	hence	ADV
gs-2797	40	2	,	,	PUNCT
gs-2797	40	3	it	it	PRON
gs-2797	40	4	's	be	AUX
gs-2797	40	5	apparent	apparent	ADJ
gs-2797	40	6	from	from	ADP
gs-2797	40	7	the	the	DET
gs-2797	40	8	outset	outset	NOUN
gs-2797	40	9	that	that	SCONJ
gs-2797	40	10	an	an	DET
gs-2797	40	11	algorithm	algorithm	NOUN
gs-2797	40	12	unaffected	unaffected	ADJ
gs-2797	40	13	by	by	ADP
gs-2797	40	14	the	the	DET
gs-2797	40	15	function	function	NOUN
gs-2797	40	16	's	's	PART
gs-2797	40	17	shape	shape	NOUN
gs-2797	40	18	will	will	AUX
gs-2797	40	19	be	be	AUX
gs-2797	40	20	less	less	ADV
gs-2797	40	21	efficient	efficient	ADJ
gs-2797	40	22	in	in	ADP
gs-2797	40	23	approaching	approach	VERB
gs-2797	40	24	the	the	DET
gs-2797	40	25	minimum	minimum	NOUN
gs-2797	40	26	.	.	PUNCT
gs-2797	41	1	figure	figure	NOUN
gs-2797	41	2	2	2	NUM
gs-2797	41	3	graphic	graphic	ADJ
gs-2797	41	4	representation	representation	NOUN
gs-2797	41	5	of	of	ADP
gs-2797	41	6	the	the	DET
gs-2797	41	7	rosenbrock	rosenbrock	NOUN
gs-2797	41	8	function	function	NOUN
gs-2797	41	9	now	now	ADV
gs-2797	41	10	,	,	PUNCT
gs-2797	41	11	let	let	VERB
gs-2797	41	12	's	us	PRON
gs-2797	41	13	proceed	proceed	VERB
gs-2797	41	14	with	with	ADP
gs-2797	41	15	the	the	DET
gs-2797	41	16	computation	computation	NOUN
gs-2797	41	17	of	of	ADP
gs-2797	41	18	the	the	DET
gs-2797	41	19	elements	element	NOUN
gs-2797	41	20	of	of	ADP
gs-2797	41	21	the	the	DET
gs-2797	41	22	gradient	gradient	NOUN
gs-2797	41	23	vector	vector	NOUN
gs-2797	41	24	for	for	ADP
gs-2797	41	25	the	the	DET
gs-2797	41	26	rosenbrock	rosenbrock	NOUN
gs-2797	41	27	function	function	NOUN
gs-2797	41	28	:	:	PUNCT
gs-2797	41	29	a	a	X
gs-2797	41	30	)	)	PUNCT
gs-2797	41	31	partial	partial	ADJ
gs-2797	41	32	derivatives	derivative	NOUN
gs-2797	41	33	with	with	ADP
gs-2797	41	34	respect	respect	NOUN
gs-2797	41	35	to	to	ADP
gs-2797	41	36	the	the	DET
gs-2797	41	37	arguments	argument	NOUN
gs-2797	41	38	x	x	PUNCT
gs-2797	41	39	and	and	CCONJ
gs-2797	41	40	y	y	NOUN
gs-2797	41	41	:	:	PUNCT
gs-2797	41	42	g_x(x	g_x(x	ADJ
gs-2797	41	43	,	,	PUNCT
gs-2797	41	44	y	y	PROPN
gs-2797	41	45	)	)	PUNCT
gs-2797	41	46	,	,	PUNCT
gs-2797	41	47	g_y(x	g_y(x	PROPN
gs-2797	41	48	,	,	PUNCT
gs-2797	41	49	y	y	PROPN
gs-2797	41	50	)	)	PUNCT
gs-2797	41	51	;	;	PUNCT
gs-2797	41	52	b	b	X
gs-2797	41	53	)	)	PUNCT
gs-2797	41	54	second	second	ADJ
gs-2797	41	55	-	-	PUNCT
gs-2797	41	56	order	order	NOUN
gs-2797	41	57	partial	partial	ADJ
gs-2797	41	58	derivatives	derivative	NOUN
gs-2797	41	59	with	with	ADP
gs-2797	41	60	respect	respect	NOUN
gs-2797	41	61	to	to	ADP
gs-2797	41	62	x	x	PUNCT
gs-2797	41	63	and	and	CCONJ
gs-2797	41	64	y	y	NOUN
gs-2797	41	65	:	:	PUNCT
gs-2797	41	66	gxx(x	gxx(x	PROPN
gs-2797	41	67	,	,	PUNCT
gs-2797	41	68	y	y	PROPN
gs-2797	41	69	)	)	PUNCT
gs-2797	41	70	,	,	PUNCT
gs-2797	41	71	gyy(x	gyy(x	PROPN
gs-2797	41	72	,	,	PUNCT
gs-2797	41	73	y	y	PROPN
gs-2797	41	74	)	)	PUNCT
gs-2797	41	75	;	;	PUNCT
gs-2797	41	76	c	c	X
gs-2797	41	77	)	)	PUNCT
gs-2797	41	78	mixed	mixed	ADJ
gs-2797	41	79	second	second	ADJ
gs-2797	41	80	-	-	PUNCT
gs-2797	41	81	order	order	NOUN
gs-2797	41	82	derivatives	derivative	NOUN
gs-2797	41	83	with	with	ADP
gs-2797	41	84	respect	respect	NOUN
gs-2797	41	85	to	to	ADP
gs-2797	41	86	x	x	PUNCT
gs-2797	41	87	and	and	CCONJ
gs-2797	41	88	y	y	PROPN
gs-2797	41	89	g_xy(x	g_xy(x	PROPN
gs-2797	41	90	,	,	PUNCT
gs-2797	41	91	y	y	PROPN
gs-2797	41	92	)	)	PUNCT
gs-2797	41	93	,	,	PUNCT
gs-2797	41	94	g_yx(x	g_yx(x	PROPN
gs-2797	41	95	,	,	PUNCT
gs-2797	41	96	y	y	PROPN
gs-2797	41	97	)	)	PUNCT
gs-2797	41	98	.	.	PUNCT
gs-2797	42	1	the	the	DET
gs-2797	42	2	following	follow	VERB
gs-2797	42	3	parameters	parameter	NOUN
gs-2797	42	4	are	be	AUX
gs-2797	42	5	necessary	necessary	ADJ
gs-2797	42	6	for	for	ADP
gs-2797	42	7	implementing	implement	VERB
gs-2797	42	8	the	the	DET
gs-2797	42	9	fastest	fast	ADJ
gs-2797	42	10	ascent	ascent	ADJ
gs-2797	42	11	method	method	NOUN
gs-2797	42	12	algorithm	algorithm	NOUN
gs-2797	42	13	:	:	PUNCT
gs-2797	42	14	vmax:=200	vmax:=200	ADP
gs-2797	42	15	the	the	DET
gs-2797	42	16	maximum	maximum	ADJ
gs-2797	42	17	number	number	NOUN
gs-2797	42	18	of	of	ADP
gs-2797	42	19	iterations	iteration	NOUN
gs-2797	42	20	required	require	VERB
gs-2797	42	21	for	for	ADP
gs-2797	42	22	approaching	approach	VERB
gs-2797	42	23	the	the	DET
gs-2797	42	24	minimum	minimum	NOUN
gs-2797	42	25	;	;	PUNCT
gs-2797	42	26	v:=0	v:=0	X
gs-2797	42	27	…	…	PUNCT
gs-2797	42	28	vmax	vmax	X
gs-2797	42	29	the	the	DET
gs-2797	42	30	range	range	NOUN
gs-2797	42	31	of	of	ADP
gs-2797	42	32	iteration	iteration	NOUN
gs-2797	42	33	changes	change	NOUN
gs-2797	42	34	;	;	PUNCT
gs-2797	42	35	x0:=0,y0:=0	x0:=0,y0:=0	VERB
gs-2797	42	36	the	the	DET
gs-2797	42	37	coordinates	coordinate	NOUN
gs-2797	42	38	of	of	ADP
gs-2797	42	39	the	the	DET
gs-2797	42	40	starting	start	VERB
gs-2797	42	41	approach	approach	NOUN
gs-2797	42	42	point	point	NOUN
gs-2797	42	43	;	;	PUNCT
gs-2797	42	44	0:=	0:=	NOUN
gs-2797	42	45	_	_	NOUN
gs-2797	42	46	f(x0,y0	f(x0,y0	NOUN
gs-2797	42	47	)	)	PUNCT
gs-2797	42	48	the	the	DET
gs-2797	42	49	value	value	NOUN
gs-2797	42	50	corresponding	correspond	VERB
gs-2797	42	51	to	to	ADP
gs-2797	42	52	the	the	DET
gs-2797	42	53	initial	initial	ADJ
gs-2797	42	54	approximation	approximation	NOUN
gs-2797	42	55	;	;	PUNCT
gs-2797	42	56	sx0:=s_x(x0,y0	sx0:=s_x(x0,y0	VERB
gs-2797	42	57	)	)	PUNCT
gs-2797	42	58	,	,	PUNCT
gs-2797	42	59	sy0:=s_y(x0,y0	sy0:=s_y(x0,y0	NOUN
gs-2797	42	60	)	)	PUNCT
gs-2797	42	61	the	the	DET
gs-2797	42	62	values	value	NOUN
gs-2797	42	63	of	of	ADP
gs-2797	42	64	the	the	DET
gs-2797	42	65	bit	bit	NOUN
gs-2797	42	66	corresponding	corresponding	ADJ
gs-2797	42	67	to	to	ADP
gs-2797	42	68	the	the	DET
gs-2797	42	69	initial	initial	ADJ
gs-2797	42	70	approximation	approximation	NOUN
gs-2797	42	71	;	;	PUNCT
gs-2797	42	72	georgian	georgian	PROPN
gs-2797	42	73	scientists/	scientists/	NUM
gs-2797	42	74	.	.	PUNCT
gs-2797	43	1	6	6	NUM
gs-2797	43	2	n	n	NUM
gs-2797	43	3	2	2	NUM
gs-2797	43	4	,	,	PUNCT
gs-2797	43	5	2024	2024	NUM
gs-2797	43	6	289	289	NUM
gs-2797	43	7	f0:=ff(x0,y0	f0:=ff(x0,y0	NOUN
gs-2797	43	8	)	)	PUNCT
gs-2797	43	9	the	the	DET
gs-2797	43	10	value	value	NOUN
gs-2797	43	11	of	of	ADP
gs-2797	43	12	the	the	DET
gs-2797	43	13	optimization	optimization	NOUN
gs-2797	43	14	function	function	NOUN
gs-2797	43	15	corresponding	correspond	VERB
gs-2797	43	16	to	to	ADP
gs-2797	43	17	the	the	DET
gs-2797	43	18	initial	initial	ADJ
gs-2797	43	19	approximation	approximation	NOUN
gs-2797	43	20	.	.	PUNCT
gs-2797	44	1	vector	vector	NOUN
gs-2797	44	2	of	of	ADP
gs-2797	44	3	initial	initial	ADJ
gs-2797	44	4	values	value	NOUN
gs-2797	44	5	for	for	ADP
gs-2797	44	6	the	the	DET
gs-2797	44	7	iterative	iterative	NOUN
gs-2797	44	8	process	process	NOUN
gs-2797	44	9	:	:	PUNCT
gs-2797	44	10	0	0	NUM
gs-2797	44	11	0	0	NUM
gs-2797	44	12	0	0	NUM
gs-2797	44	13	please	please	INTJ
gs-2797	44	14	provide	provide	VERB
gs-2797	44	15	the	the	DET
gs-2797	44	16	image	image	NOUN
gs-2797	44	17	of	of	ADP
gs-2797	44	18	the	the	DET
gs-2797	44	19	function	function	NOUN
gs-2797	44	20	coordinates	coordinate	VERB
gs-2797	44	21	calculation	calculation	NOUN
gs-2797	44	22	and	and	CCONJ
gs-2797	44	23	their	their	PRON
gs-2797	44	24	corresponding	correspond	VERB
gs-2797	44	25	values	value	NOUN
gs-2797	44	26	for	for	ADP
gs-2797	44	27	further	further	ADJ
gs-2797	44	28	analysis	analysis	NOUN
gs-2797	44	29	.	.	PUNCT
gs-2797	45	1	=	=	PUNCT
gs-2797	46	1	+	+	PUNCT
gs-2797	46	2	_	_	PUNCT
gs-2797	46	3	(	(	PUNCT
gs-2797	46	4	,	,	PUNCT
gs-2797	46	5	)	)	PUNCT
gs-2797	46	6	.	.	PUNCT
gs-2797	47	1	_	_	PUNCT
gs-2797	47	2	(	(	PUNCT
gs-2797	47	3	,	,	PUNCT
gs-2797	47	4	)	)	PUNCT
gs-2797	48	1	+	+	CCONJ
gs-2797	48	2	_	_	PUNCT
gs-2797	48	3	(	(	PUNCT
gs-2797	48	4	,	,	PUNCT
gs-2797	48	5	)	)	PUNCT
gs-2797	48	6	.	.	PUNCT
gs-2797	49	1	_	_	PUNCT
gs-2797	49	2	(	(	PUNCT
gs-2797	49	3	,	,	PUNCT
gs-2797	49	4	)	)	PUNCT
gs-2797	49	5	(	(	PUNCT
gs-2797	50	1	+	+	CCONJ
gs-2797	50	2	_	_	PUNCT
gs-2797	50	3	(	(	PUNCT
gs-2797	50	4	,	,	PUNCT
gs-2797	50	5	)	)	PUNCT
gs-2797	50	6	.	.	PUNCT
gs-2797	51	1	_	_	PUNCT
gs-2797	51	2	(	(	PUNCT
gs-2797	51	3	,	,	PUNCT
gs-2797	51	4	)	)	PUNCT
gs-2797	51	5	,	,	PUNCT
gs-2797	52	1	+	+	PUNCT
gs-2797	53	1	_	_	PUNCT
gs-2797	53	2	(	(	PUNCT
gs-2797	53	3	,	,	PUNCT
gs-2797	53	4	)	)	PUNCT
gs-2797	53	5	.	.	PUNCT
gs-2797	54	1	_	_	PUNCT
gs-2797	54	2	(	(	PUNCT
gs-2797	54	3	,	,	PUNCT
gs-2797	54	4	)	)	PUNCT
gs-2797	54	5	)	)	PUNCT
gs-2797	55	1	using	use	VERB
gs-2797	55	2	the	the	DET
gs-2797	55	3	obtained	obtain	VERB
gs-2797	55	4	values	value	NOUN
gs-2797	55	5	,	,	PUNCT
gs-2797	55	6	we	we	PRON
gs-2797	55	7	constructed	construct	VERB
gs-2797	55	8	a	a	DET
gs-2797	55	9	diagram	diagram	NOUN
gs-2797	55	10	(	(	PUNCT
gs-2797	55	11	fig	fig	NOUN
gs-2797	55	12	.	.	PUNCT
gs-2797	56	1	2	2	NUM
gs-2797	56	2	)	)	PUNCT
gs-2797	56	3	.	.	PUNCT
gs-2797	57	1	upon	upon	SCONJ
gs-2797	57	2	examining	examine	VERB
gs-2797	57	3	the	the	DET
gs-2797	57	4	values	value	NOUN
gs-2797	57	5	,	,	PUNCT
gs-2797	57	6	it	it	PRON
gs-2797	57	7	becomes	become	VERB
gs-2797	57	8	evident	evident	ADJ
gs-2797	57	9	that	that	SCONJ
gs-2797	57	10	there	there	PRON
gs-2797	57	11	is	be	VERB
gs-2797	57	12	oscillation	oscillation	NOUN
gs-2797	57	13	near	near	ADP
gs-2797	57	14	the	the	DET
gs-2797	57	15	minimum	minimum	NOUN
gs-2797	57	16	.	.	PUNCT
gs-2797	58	1	the	the	DET
gs-2797	58	2	diagram	diagram	NOUN
gs-2797	58	3	illustrates	illustrate	VERB
gs-2797	58	4	the	the	DET
gs-2797	58	5	dependency	dependency	NOUN
gs-2797	58	6	of	of	ADP
gs-2797	58	7	the	the	DET
gs-2797	58	8	function	function	NOUN
gs-2797	58	9	coordinates	coordinate	NOUN
gs-2797	58	10	on	on	ADP
gs-2797	58	11	the	the	DET
gs-2797	58	12	iteration	iteration	NOUN
gs-2797	58	13	number	number	NOUN
gs-2797	58	14	as	as	SCONJ
gs-2797	58	15	the	the	DET
gs-2797	58	16	extremum	extremum	NOUN
gs-2797	58	17	is	be	AUX
gs-2797	58	18	approached	approach	VERB
gs-2797	58	19	.	.	PUNCT
gs-2797	59	1	x	x	X
gs-2797	59	2	0	0	NUM
gs-2797	59	3	236	236	NUM
gs-2797	59	4	237	237	NUM
gs-2797	59	5	238	238	NUM
gs-2797	59	6	239	239	NUM
gs-2797	59	7	240	240	NUM
gs-2797	59	8	241	241	NUM
gs-2797	59	9	242	242	NUM
gs-2797	59	10	243	243	NUM
gs-2797	59	11	244	244	NUM
gs-2797	59	12	245	245	NUM
gs-2797	59	13	246	246	NUM
gs-2797	59	14	247	247	NUM
gs-2797	59	15	248	248	NUM
gs-2797	59	16	249	249	NUM
gs-2797	59	17	250	250	NUM
gs-2797	59	18	251	251	NUM
gs-2797	59	19	0.93900212	0.93900212	NUM
gs-2797	59	20	0.93921365	0.93921365	NUM
gs-2797	59	21	0.9393041	0.9393041	NUM
gs-2797	60	1	0.93951411	0.93951411	NUM
gs-2797	60	2	0.93960314	0.93960314	NUM
gs-2797	60	3	0.93981165	0.93981165	NUM
gs-2797	60	4	0.9398993	0.9398993	NUM
gs-2797	60	5	0.94010632	0.94010632	NUM
gs-2797	60	6	0.94019262	0.94019262	NUM
gs-2797	60	7	0.94039818	0.94039818	NUM
gs-2797	60	8	0.94048316	0.94048316	NUM
gs-2797	60	9	0.94068728	0.94068728	NUM
gs-2797	60	10	0.94077096	0.94077096	NUM
gs-2797	60	11	0.94097366	0.94097366	NUM
gs-2797	60	12	0.94105607	0.94105607	NUM
gs-2797	60	13	0.94125737	0.94125737	NUM
gs-2797	60	14	y	y	NOUN
gs-2797	60	15	0	0	NUM
gs-2797	60	16	236	236	NUM
gs-2797	60	17	237	237	NUM
gs-2797	60	18	238	238	NUM
gs-2797	60	19	239	239	NUM
gs-2797	60	20	240	240	NUM
gs-2797	60	21	241	241	NUM
gs-2797	60	22	242	242	NUM
gs-2797	60	23	243	243	NUM
gs-2797	60	24	244	244	NUM
gs-2797	60	25	245	245	NUM
gs-2797	60	26	246	246	NUM
gs-2797	60	27	247	247	NUM
gs-2797	60	28	248	248	NUM
gs-2797	60	29	249	249	NUM
gs-2797	60	30	250	250	NUM
gs-2797	60	31	251	251	NUM
gs-2797	60	32	0.88185501	0.88185501	NUM
gs-2797	60	33	0.88182281	0.88182281	NUM
gs-2797	60	34	0.88242049	0.88242049	NUM
gs-2797	60	35	0.88238872	0.88238872	NUM
gs-2797	60	36	0.88298067	0.88298067	NUM
gs-2797	60	37	0.88294931	0.88294931	NUM
gs-2797	60	38	0.88353562	0.88353562	NUM
gs-2797	60	39	0.88350468	0.88350468	NUM
gs-2797	60	40	0.88408546	0.88408546	NUM
gs-2797	60	41	0.88405492	0.88405492	NUM
gs-2797	60	42	0.88463026	0.88463026	NUM
gs-2797	60	43	0.88460012	0.88460012	NUM
gs-2797	60	44	0.88517011	0.88517011	NUM
gs-2797	60	45	0.88514036	0.88514036	NUM
gs-2797	60	46	0.8857051	0.8857051	NUM
gs-2797	60	47	0.88567573	0.88567573	NUM
gs-2797	60	48	ff	ff	NOUN
gs-2797	60	49	0	0	NUM
gs-2797	60	50	237	237	NUM
gs-2797	60	51	238	238	NUM
gs-2797	60	52	239	239	NUM
gs-2797	60	53	240	240	NUM
gs-2797	60	54	241	241	NUM
gs-2797	60	55	242	242	NUM
gs-2797	60	56	243	243	NUM
gs-2797	60	57	244	244	NUM
gs-2797	60	58	245	245	NUM
gs-2797	60	59	246	246	NUM
gs-2797	60	60	247	247	NUM
gs-2797	60	61	248	248	NUM
gs-2797	60	62	249	249	NUM
gs-2797	60	63	250	250	NUM
gs-2797	60	64	251	251	NUM
gs-2797	60	65	252	252	NUM
gs-2797	60	66	3.70394858·10	3.70394858·10	NUM
gs-2797	60	67	-3	-3	SYM
gs-2797	60	68	3.68563878·10	3.68563878·10	NUM
gs-2797	60	69	-3	-3	SYM
gs-2797	60	70	3.667426·10	3.667426·10	NUM
gs-2797	60	71	-3	-3	SYM
gs-2797	60	72	3.6493836·10	3.6493836·10	NUM
gs-2797	60	73	-3	-3	SYM
gs-2797	60	74	3.63143631·10	3.63143631·10	NUM
gs-2797	60	75	-3	-3	SYM
gs-2797	60	76	3.61365553·10	3.61365553·10	NUM
gs-2797	60	77	-3	-3	SYM
gs-2797	60	78	3.59596798·10	3.59596798·10	NUM
gs-2797	60	79	-3	-3	SYM
gs-2797	60	80	3.5784432·10	3.5784432·10	NUM
gs-2797	60	81	-3	-3	PUNCT
gs-2797	60	82	3.56100985·10	3.56100985·10	NUM
gs-2797	60	83	-3	-3	PUNCT
gs-2797	60	84	3.54373563·10	3.54373563·10	NUM
gs-2797	60	85	-3	-3	SYM
gs-2797	60	86	3.52655106·10	3.52655106·10	NUM
gs-2797	60	87	-3	-3	SYM
gs-2797	60	88	3.50952212·10	3.50952212·10	NUM
gs-2797	60	89	-3	-3	SYM
gs-2797	60	90	3.49258112·10	3.49258112·10	NUM
gs-2797	60	91	-3	-3	SYM
gs-2797	60	92	3.47579233·10	3.47579233·10	NUM
gs-2797	60	93	-3	-3	SYM
gs-2797	60	94	3.4590898·10	3.4590898·10	NUM
gs-2797	60	95	-3	-3	SYM
gs-2797	60	96	0	0	NUM
gs-2797	60	97	50	50	NUM
gs-2797	60	98	100	100	NUM
gs-2797	60	99	150	150	NUM
gs-2797	60	100	200	200	NUM
gs-2797	60	101	250	250	NUM
gs-2797	60	102	0	0	NUM
gs-2797	60	103	0.5	0.5	NUM
gs-2797	60	104	11	11	NUM
gs-2797	60	105	0	0	NUM
gs-2797	60	106	xv	xv	PROPN
gs-2797	60	107	yv	yv	PROPN
gs-2797	60	108	2500	2500	NUM
gs-2797	60	109	v	v	NOUN
gs-2797	60	110	figure	figure	NOUN
gs-2797	60	111	3	3	NUM
gs-2797	60	112	dependence	dependence	NOUN
gs-2797	60	113	of	of	ADP
gs-2797	60	114	function	function	NOUN
gs-2797	60	115	coordinates	coordinate	NOUN
gs-2797	60	116	on	on	ADP
gs-2797	60	117	iteration	iteration	NOUN
gs-2797	60	118	order	order	NOUN
gs-2797	60	119	for	for	ADP
gs-2797	60	120	approximation	approximation	NOUN
gs-2797	60	121	to	to	ADP
gs-2797	60	122	extremum	extremum	ADJ
gs-2797	60	123	georgian	georgian	NOUN
gs-2797	60	124	scientists/	scientists/	NUM
gs-2797	60	125	.	.	PUNCT
gs-2797	61	1	6	6	NUM
gs-2797	61	2	n	n	NUM
gs-2797	61	3	2	2	NUM
gs-2797	61	4	,	,	PUNCT
gs-2797	61	5	2024	2024	NUM
gs-2797	61	6	290	290	NUM
gs-2797	61	7	we	we	PRON
gs-2797	61	8	carried	carry	VERB
gs-2797	61	9	out	out	ADP
gs-2797	61	10	research	research	NOUN
gs-2797	61	11	for	for	ADP
gs-2797	61	12	different	different	ADJ
gs-2797	61	13	initial	initial	ADJ
gs-2797	61	14	values	value	NOUN
gs-2797	61	15	.	.	PUNCT
gs-2797	62	1	a	a	DET
gs-2797	62	2	)	)	PUNCT
gs-2797	62	3	x0:=1.5	x0:=1.5	PROPN
gs-2797	62	4	y0:=2	y0:=2	PROPN
gs-2797	62	5	coordinates	coordinate	NOUN
gs-2797	62	6	of	of	ADP
gs-2797	62	7	the	the	DET
gs-2797	62	8	starting	starting	NOUN
gs-2797	62	9	point	point	NOUN
gs-2797	62	10	of	of	ADP
gs-2797	62	11	approach	approach	NOUN
gs-2797	62	12	;	;	PUNCT
gs-2797	62	13	table	table	NOUN
gs-2797	62	14	1	1	NUM
gs-2797	62	15	fragment	fragment	NOUN
gs-2797	62	16	of	of	ADP
gs-2797	62	17	the	the	DET
gs-2797	62	18	table	table	NOUN
gs-2797	62	19	of	of	ADP
gs-2797	62	20	obtained	obtain	VERB
gs-2797	62	21	values	value	NOUN
gs-2797	62	22	:	:	PUNCT
gs-2797	62	23	as	as	ADP
gs-2797	62	24	evident	evident	ADJ
gs-2797	62	25	from	from	ADP
gs-2797	62	26	the	the	DET
gs-2797	62	27	graph	graph	NOUN
gs-2797	62	28	,	,	PUNCT
gs-2797	62	29	the	the	DET
gs-2797	62	30	approach	approach	NOUN
gs-2797	62	31	to	to	ADP
gs-2797	62	32	the	the	DET
gs-2797	62	33	extremum	extremum	ADJ
gs-2797	62	34	with	with	ADP
gs-2797	62	35	starting	start	VERB
gs-2797	62	36	points	point	NOUN
gs-2797	62	37	x0=1.5	x0=1.5	PROPN
gs-2797	62	38	and	and	CCONJ
gs-2797	62	39	y0	y0	PROPN
gs-2797	62	40	=	=	SYM
gs-2797	62	41	2	2	NUM
gs-2797	62	42	is	be	AUX
gs-2797	62	43	notably	notably	ADV
gs-2797	62	44	coarse	coarse	ADJ
gs-2797	62	45	,	,	PUNCT
gs-2797	62	46	even	even	ADV
gs-2797	62	47	under	under	ADP
gs-2797	62	48	ideal	ideal	ADJ
gs-2797	62	49	conditions	condition	NOUN
gs-2797	62	50	.	.	PUNCT
gs-2797	63	1	thus	thus	ADV
gs-2797	63	2	,	,	PUNCT
gs-2797	63	3	we	we	PRON
gs-2797	63	4	sought	seek	VERB
gs-2797	63	5	comparisons	comparison	NOUN
gs-2797	63	6	with	with	ADP
gs-2797	63	7	other	other	ADJ
gs-2797	63	8	initial	initial	ADJ
gs-2797	63	9	coordinates	coordinate	NOUN
gs-2797	63	10	.	.	PUNCT
gs-2797	64	1	subsequently	subsequently	ADV
gs-2797	64	2	,	,	PUNCT
gs-2797	64	3	we	we	PRON
gs-2797	64	4	conducted	conduct	VERB
gs-2797	64	5	the	the	DET
gs-2797	64	6	research	research	NOUN
gs-2797	64	7	under	under	ADP
gs-2797	64	8	the	the	DET
gs-2797	64	9	specified	specified	ADJ
gs-2797	64	10	initial	initial	ADJ
gs-2797	64	11	conditions	condition	NOUN
gs-2797	64	12	(	(	PUNCT
gs-2797	64	13	fig.3	fig.3	PROPN
gs-2797	64	14	and	and	CCONJ
gs-2797	64	15	fig.4	fig.4	PROPN
gs-2797	64	16	)	)	PUNCT
gs-2797	64	17	,	,	PUNCT
gs-2797	64	18	accounting	account	VERB
gs-2797	64	19	for	for	ADP
gs-2797	64	20	errors	error	NOUN
gs-2797	64	21	introduced	introduce	VERB
gs-2797	64	22	by	by	ADP
gs-2797	64	23	random	random	ADJ
gs-2797	64	24	variables	variable	NOUN
gs-2797	64	25	following	follow	VERB
gs-2797	64	26	a	a	DET
gs-2797	64	27	normal	normal	ADJ
gs-2797	64	28	distribution	distribution	NOUN
gs-2797	64	29	:	:	PUNCT
gs-2797	64	30	g:=rnorm(130,0,0.33	g:=rnorm(130,0,0.33	NUM
gs-2797	64	31	)	)	PUNCT
gs-2797	64	32	.	.	PUNCT
gs-2797	65	1	incorporating	incorporate	VERB
gs-2797	65	2	these	these	DET
gs-2797	65	3	errors	error	NOUN
gs-2797	65	4	,	,	PUNCT
gs-2797	65	5	the	the	DET
gs-2797	65	6	iterative	iterative	NOUN
gs-2797	65	7	procedure	procedure	NOUN
gs-2797	65	8	takes	take	VERB
gs-2797	65	9	the	the	DET
gs-2797	65	10	following	follow	VERB
gs-2797	65	11	form	form	NOUN
gs-2797	65	12	:	:	PUNCT
gs-2797	65	13	(	(	PUNCT
gs-2797	65	14	)	)	PUNCT
gs-2797	65	15	(	(	PUNCT
gs-2797	65	16	)	)	PUNCT
gs-2797	65	17	(	(	PUNCT
gs-2797	65	18	)	)	PUNCT
gs-2797	66	1	+	+	NUM
gs-2797	66	2	_	_	PUNCT
gs-2797	66	3	(	(	PUNCT
gs-2797	66	4	,	,	PUNCT
gs-2797	66	5	)	)	PUNCT
gs-2797	66	6	.	.	PUNCT
gs-2797	67	1	_	_	PUNCT
gs-2797	67	2	(	(	PUNCT
gs-2797	67	3	,	,	PUNCT
gs-2797	67	4	)	)	PUNCT
gs-2797	68	1	+	+	CCONJ
gs-2797	68	2	(	(	PUNCT
gs-2797	68	3	+	+	NUM
gs-2797	68	4	_	_	PRON
gs-2797	68	5	(	(	PUNCT
gs-2797	68	6	,	,	PUNCT
gs-2797	68	7	)	)	PUNCT
gs-2797	68	8	.	.	PUNCT
gs-2797	69	1	_	_	PUNCT
gs-2797	69	2	(	(	PUNCT
gs-2797	69	3	,	,	PUNCT
gs-2797	69	4	)	)	PUNCT
gs-2797	69	5	)	)	PUNCT
gs-2797	69	6	.	.	PUNCT
gs-2797	69	7	.	.	PUNCT
gs-2797	70	1	+	+	PUNCT
gs-2797	70	2	_	_	PUNCT
gs-2797	70	3	(	(	PUNCT
gs-2797	70	4	,	,	PUNCT
gs-2797	70	5	)	)	PUNCT
gs-2797	70	6	.	.	PUNCT
gs-2797	71	1	_	_	PUNCT
gs-2797	71	2	(	(	PUNCT
gs-2797	71	3	,	,	PUNCT
gs-2797	71	4	)	)	PUNCT
gs-2797	72	1	+	+	CCONJ
gs-2797	72	2	(	(	PUNCT
gs-2797	72	3	+	+	NUM
gs-2797	72	4	_	_	PRON
gs-2797	72	5	(	(	PUNCT
gs-2797	72	6	,	,	PUNCT
gs-2797	72	7	)	)	PUNCT
gs-2797	72	8	.	.	PUNCT
gs-2797	73	1	_	_	PUNCT
gs-2797	73	2	(	(	PUNCT
gs-2797	73	3	,	,	PUNCT
gs-2797	73	4	)	)	PUNCT
gs-2797	73	5	)	)	PUNCT
gs-2797	73	6	.	.	PUNCT
gs-2797	73	7	.	.	PUNCT
gs-2797	74	1	(	(	PUNCT
gs-2797	74	2	+	+	CCONJ
gs-2797	74	3	_	_	PUNCT
gs-2797	74	4	(	(	PUNCT
gs-2797	74	5	,	,	PUNCT
gs-2797	74	6	)	)	PUNCT
gs-2797	74	7	.	.	PUNCT
gs-2797	75	1	_	_	PUNCT
gs-2797	75	2	(	(	PUNCT
gs-2797	75	3	,	,	PUNCT
gs-2797	75	4	)	)	PUNCT
gs-2797	76	1	+	+	CCONJ
gs-2797	76	2	(	(	PUNCT
gs-2797	76	3	+	+	NUM
gs-2797	76	4	_	_	PRON
gs-2797	76	5	(	(	PUNCT
gs-2797	76	6	,	,	PUNCT
gs-2797	76	7	)	)	PUNCT
gs-2797	76	8	.	.	PUNCT
gs-2797	77	1	_	_	PUNCT
gs-2797	77	2	(	(	PUNCT
gs-2797	77	3	,	,	PUNCT
gs-2797	77	4	)	)	PUNCT
gs-2797	77	5	)	)	PUNCT
gs-2797	77	6	.	.	PUNCT
gs-2797	77	7	.	.	PUNCT
gs-2797	78	1	+	+	PUNCT
gs-2797	78	2	_	_	PUNCT
gs-2797	78	3	(	(	PUNCT
gs-2797	78	4	,	,	PUNCT
gs-2797	78	5	)	)	PUNCT
gs-2797	78	6	.	.	PUNCT
gs-2797	79	1	_	_	PUNCT
gs-2797	79	2	(	(	PUNCT
gs-2797	79	3	,	,	PUNCT
gs-2797	79	4	)	)	PUNCT
gs-2797	80	1	+	+	CCONJ
gs-2797	80	2	(	(	PUNCT
gs-2797	80	3	+	+	NUM
gs-2797	80	4	_	_	PRON
gs-2797	80	5	(	(	PUNCT
gs-2797	80	6	,	,	PUNCT
gs-2797	80	7	)	)	PUNCT
gs-2797	80	8	.	.	PUNCT
gs-2797	81	1	_	_	PUNCT
gs-2797	81	2	(	(	PUNCT
gs-2797	81	3	,	,	PUNCT
gs-2797	81	4	)	)	PUNCT
gs-2797	81	5	)	)	PUNCT
gs-2797	81	6	.	.	PUNCT
gs-2797	81	7	.	.	PUNCT
gs-2797	81	8	)	)	PUNCT
gs-2797	82	1	x	x	SYM
gs-2797	82	2	0	0	NUM
gs-2797	82	3	236	236	NUM
gs-2797	82	4	237	237	NUM
gs-2797	82	5	238	238	NUM
gs-2797	82	6	239	239	NUM
gs-2797	82	7	240	240	NUM
gs-2797	82	8	241	241	NUM
gs-2797	82	9	242	242	NUM
gs-2797	82	10	243	243	NUM
gs-2797	82	11	244	244	NUM
gs-2797	82	12	245	245	NUM
gs-2797	82	13	246	246	NUM
gs-2797	82	14	247	247	NUM
gs-2797	82	15	248	248	NUM
gs-2797	82	16	249	249	NUM
gs-2797	82	17	250	250	NUM
gs-2797	82	18	251	251	NUM
gs-2797	82	19	1.33074929	1.33074929	NUM
gs-2797	82	20	1.33001466	1.33001466	NUM
gs-2797	82	21	1.33033907	1.33033907	NUM
gs-2797	82	22	1.32960748	1.32960748	NUM
gs-2797	82	23	1.32993078	1.32993078	NUM
gs-2797	82	24	1.32920219	1.32920219	NUM
gs-2797	82	25	1.3295244	1.3295244	NUM
gs-2797	82	26	1.32879877	1.32879877	NUM
gs-2797	82	27	1.32911991	1.32911991	NUM
gs-2797	82	28	1.32839721	1.32839721	NUM
gs-2797	82	29	1.32871728	1.32871728	NUM
gs-2797	82	30	1.32799747	1.32799747	NUM
gs-2797	82	31	1.32831648	1.32831648	NUM
gs-2797	82	32	1.32759953	1.32759953	NUM
gs-2797	82	33	1.3279175	1.3279175	NUM
gs-2797	82	34	1.32720337	1.32720337	NUM
gs-2797	82	35	y	y	NOUN
gs-2797	82	36	0	0	NUM
gs-2797	82	37	0	0	NUM
gs-2797	82	38	1	1	NUM
gs-2797	82	39	2	2	NUM
gs-2797	82	40	3	3	NUM
gs-2797	82	41	4	4	NUM
gs-2797	82	42	5	5	NUM
gs-2797	82	43	6	6	NUM
gs-2797	82	44	7	7	NUM
gs-2797	82	45	8	8	NUM
gs-2797	82	46	9	9	NUM
gs-2797	82	47	10	10	NUM
gs-2797	82	48	11	11	NUM
gs-2797	82	49	12	12	NUM
gs-2797	82	50	13	13	NUM
gs-2797	82	51	14	14	NUM
gs-2797	82	52	15	15	NUM
gs-2797	82	53	2	2	NUM
gs-2797	82	54	2.02390156	2.02390156	NUM
gs-2797	82	55	2.02550898	2.02550898	NUM
gs-2797	82	56	2.01787204	2.01787204	NUM
gs-2797	82	57	2.01734204	2.01734204	NUM
gs-2797	82	58	2.01055437	2.01055437	NUM
gs-2797	82	59	2.01004465	2.01004465	NUM
gs-2797	82	60	2.00390547	2.00390547	NUM
gs-2797	82	61	2.00341208	2.00341208	NUM
gs-2797	82	62	1.99778778	1.99778778	NUM
gs-2797	82	63	1.99730798	1.99730798	NUM
gs-2797	82	64	1.99210448	1.99210448	NUM
gs-2797	82	65	1.99163623	1.99163623	NUM
gs-2797	82	66	1.98678442	1.98678442	NUM
gs-2797	82	67	1.98632617	1.98632617	NUM
gs-2797	82	68	1.98177356	1.98177356	NUM
gs-2797	82	69	ff	ff	NOUN
gs-2797	82	70	0	0	NUM
gs-2797	82	71	0	0	NUM
gs-2797	82	72	1	1	NUM
gs-2797	82	73	2	2	NUM
gs-2797	82	74	3	3	NUM
gs-2797	82	75	4	4	NUM
gs-2797	82	76	5	5	NUM
gs-2797	82	77	6	6	NUM
gs-2797	82	78	7	7	NUM
gs-2797	82	79	8	8	NUM
gs-2797	82	80	9	9	NUM
gs-2797	82	81	10	10	NUM
gs-2797	82	82	11	11	NUM
gs-2797	82	83	12	12	NUM
gs-2797	82	84	13	13	NUM
gs-2797	82	85	14	14	NUM
gs-2797	82	86	15	15	NUM
gs-2797	82	87	6.5	6.5	NUM
gs-2797	82	88	0.20481523	0.20481523	NUM
gs-2797	82	89	0.17888568	0.17888568	NUM
gs-2797	82	90	0.17766212	0.17766212	NUM
gs-2797	82	91	0.17646521	0.17646521	NUM
gs-2797	82	92	0.17537835	0.17537835	NUM
gs-2797	82	93	0.17431231	0.17431231	NUM
gs-2797	82	94	0.17332953	0.17332953	NUM
gs-2797	82	95	0.17236365	0.17236365	NUM
gs-2797	82	96	0.17146333	0.17146333	NUM
gs-2797	82	97	0.1705771	0.1705771	NUM
gs-2797	82	98	0.16974406	0.16974406	NUM
gs-2797	82	99	0.16892302	0.16892302	NUM
gs-2797	82	100	0.16814611	0.16814611	NUM
gs-2797	82	101	0.16737961	0.16737961	NUM
gs-2797	82	102	0.16665039	0.16665039	NUM
gs-2797	82	103	table	table	NOUN
gs-2797	82	104	1	1	NUM
gs-2797	82	105	a	a	DET
gs-2797	82	106	fragment	fragment	NOUN
gs-2797	82	107	of	of	ADP
gs-2797	82	108	the	the	DET
gs-2797	82	109	table	table	NOUN
gs-2797	82	110	of	of	ADP
gs-2797	82	111	obtained	obtain	VERB
gs-2797	82	112	values	value	NOUN
gs-2797	82	113	:	:	PUNCT
gs-2797	82	114	georgian	georgian	NOUN
gs-2797	82	115	scientists/	scientists/	NUM
gs-2797	82	116	.	.	PUNCT
gs-2797	83	1	6	6	NUM
gs-2797	83	2	n	n	NUM
gs-2797	83	3	2	2	NUM
gs-2797	83	4	,	,	PUNCT
gs-2797	83	5	2024	2024	NUM
gs-2797	83	6	291	291	NUM
gs-2797	83	7	figure	figure	NOUN
gs-2797	83	8	4	4	NUM
gs-2797	83	9	fragment	fragment	NOUN
gs-2797	83	10	of	of	ADP
gs-2797	83	11	the	the	DET
gs-2797	83	12	lookup	lookup	NOUN
gs-2797	83	13	table	table	NOUN
gs-2797	83	14	and	and	CCONJ
gs-2797	83	15	corresponding	correspond	VERB
gs-2797	83	16	diagrams	diagram	NOUN
gs-2797	83	17	x0:=0	x0:=0	NOUN
gs-2797	83	18	;	;	PUNCT
gs-2797	83	19	y0:=0	y0:=0	NOUN
gs-2797	83	20	;	;	PUNCT
gs-2797	83	21	=	=	SYM
gs-2797	83	22	10	10	NUM
gs-2797	83	23	%	%	NOUN
gs-2797	83	24	;	;	PUNCT
gs-2797	83	25	figure	figure	VERB
gs-2797	83	26	5	5	NUM
gs-2797	83	27	fragment	fragment	NOUN
gs-2797	83	28	of	of	ADP
gs-2797	83	29	the	the	DET
gs-2797	83	30	lookup	lookup	NOUN
gs-2797	83	31	table	table	NOUN
gs-2797	83	32	and	and	CCONJ
gs-2797	83	33	corresponding	correspond	VERB
gs-2797	83	34	diagrams	diagram	NOUN
gs-2797	83	35	x0:=0	x0:=0	NOUN
gs-2797	83	36	;	;	PUNCT
gs-2797	83	37	y0:=0	y0:=0	NOUN
gs-2797	83	38	;	;	PUNCT
gs-2797	84	1	=	=	SYM
gs-2797	84	2	20	20	NUM
gs-2797	84	3	%	%	NOUN
gs-2797	84	4	;	;	PUNCT
gs-2797	84	5	georgian	georgian	PROPN
gs-2797	84	6	scientists/	scientists/	NUM
gs-2797	84	7	.	.	PUNCT
gs-2797	85	1	6	6	NUM
gs-2797	85	2	n	n	NUM
gs-2797	85	3	2	2	NUM
gs-2797	85	4	,	,	PUNCT
gs-2797	85	5	2024	2024	NUM
gs-2797	85	6	292	292	NUM
gs-2797	85	7	conclusion	conclusion	NOUN
gs-2797	85	8	:	:	PUNCT
gs-2797	85	9	in	in	ADP
gs-2797	85	10	the	the	DET
gs-2797	85	11	quest	quest	NOUN
gs-2797	85	12	to	to	PART
gs-2797	85	13	predict	predict	VERB
gs-2797	85	14	and	and	CCONJ
gs-2797	85	15	control	control	NOUN
gs-2797	85	16	system	system	NOUN
gs-2797	85	17	behaviors	behavior	NOUN
gs-2797	85	18	,	,	PUNCT
gs-2797	85	19	researchers	researcher	NOUN
gs-2797	85	20	and	and	CCONJ
gs-2797	85	21	engineers	engineer	NOUN
gs-2797	85	22	rely	rely	VERB
gs-2797	85	23	on	on	ADP
gs-2797	85	24	mathematical	mathematical	ADJ
gs-2797	85	25	models	model	NOUN
gs-2797	85	26	and	and	CCONJ
gs-2797	85	27	numerical	numerical	ADJ
gs-2797	85	28	simulations	simulation	NOUN
gs-2797	85	29	.	.	PUNCT
gs-2797	86	1	while	while	SCONJ
gs-2797	86	2	these	these	DET
gs-2797	86	3	simulations	simulation	NOUN
gs-2797	86	4	provide	provide	VERB
gs-2797	86	5	valuable	valuable	ADJ
gs-2797	86	6	insights	insight	NOUN
gs-2797	86	7	,	,	PUNCT
gs-2797	86	8	the	the	DET
gs-2797	86	9	initial	initial	ADJ
gs-2797	86	10	uncertainty	uncertainty	NOUN
gs-2797	86	11	regarding	regard	VERB
gs-2797	86	12	the	the	DET
gs-2797	86	13	best	good	ADJ
gs-2797	86	14	choice	choice	NOUN
gs-2797	86	15	among	among	ADP
gs-2797	86	16	alternatives	alternative	NOUN
gs-2797	86	17	poses	pose	VERB
gs-2797	86	18	a	a	DET
gs-2797	86	19	significant	significant	ADJ
gs-2797	86	20	challenge	challenge	NOUN
gs-2797	86	21	.	.	PUNCT
gs-2797	87	1	engineering	engineering	NOUN
gs-2797	87	2	optimization	optimization	NOUN
gs-2797	87	3	endeavors	endeavor	NOUN
gs-2797	87	4	often	often	ADV
gs-2797	87	5	center	center	VERB
gs-2797	87	6	around	around	ADV
gs-2797	87	7	identifying	identify	VERB
gs-2797	87	8	alternatives	alternative	NOUN
gs-2797	87	9	with	with	ADP
gs-2797	87	10	optimal	optimal	ADJ
gs-2797	87	11	properties	property	NOUN
gs-2797	87	12	,	,	PUNCT
gs-2797	87	13	leveraging	leverage	VERB
gs-2797	87	14	mathematical	mathematical	ADJ
gs-2797	87	15	approaches	approach	NOUN
gs-2797	87	16	and	and	CCONJ
gs-2797	87	17	optimal	optimal	ADJ
gs-2797	87	18	control	control	NOUN
gs-2797	87	19	methods	method	NOUN
gs-2797	87	20	.	.	PUNCT
gs-2797	88	1	however	however	ADV
gs-2797	88	2	,	,	PUNCT
gs-2797	88	3	the	the	DET
gs-2797	88	4	abundance	abundance	NOUN
gs-2797	88	5	of	of	ADP
gs-2797	88	6	optimization	optimization	NOUN
gs-2797	88	7	methods	method	NOUN
gs-2797	88	8	and	and	CCONJ
gs-2797	88	9	corresponding	correspond	VERB
gs-2797	88	10	software	software	NOUN
gs-2797	88	11	necessitates	necessitate	VERB
gs-2797	88	12	a	a	DET
gs-2797	88	13	judicious	judicious	ADJ
gs-2797	88	14	evaluation	evaluation	NOUN
gs-2797	88	15	of	of	ADP
gs-2797	88	16	their	their	PRON
gs-2797	88	17	effectiveness	effectiveness	NOUN
gs-2797	88	18	across	across	ADP
gs-2797	88	19	various	various	ADJ
gs-2797	88	20	conditions	condition	NOUN
gs-2797	88	21	.	.	PUNCT
gs-2797	89	1	our	our	PRON
gs-2797	89	2	investigation	investigation	NOUN
gs-2797	89	3	into	into	ADP
gs-2797	89	4	the	the	DET
gs-2797	89	5	fastest	fast	ADJ
gs-2797	89	6	ascent	ascent	ADJ
gs-2797	89	7	method	method	NOUN
gs-2797	89	8	underscores	underscore	VERB
gs-2797	89	9	the	the	DET
gs-2797	89	10	importance	importance	NOUN
gs-2797	89	11	of	of	ADP
gs-2797	89	12	selecting	select	VERB
gs-2797	89	13	appropriate	appropriate	ADJ
gs-2797	89	14	starting	starting	NOUN
gs-2797	89	15	coordinates	coordinate	NOUN
gs-2797	89	16	.	.	PUNCT
gs-2797	90	1	the	the	DET
gs-2797	90	2	method	method	NOUN
gs-2797	90	3	's	's	PART
gs-2797	90	4	efficacy	efficacy	NOUN
gs-2797	90	5	in	in	ADP
gs-2797	90	6	approaching	approach	VERB
gs-2797	90	7	the	the	DET
gs-2797	90	8	extremum	extremum	NOUN
gs-2797	90	9	of	of	ADP
gs-2797	90	10	the	the	DET
gs-2797	90	11	rosenbrock	rosenbrock	NOUN
gs-2797	90	12	function	function	NOUN
gs-2797	90	13	is	be	AUX
gs-2797	90	14	evident	evident	ADJ
gs-2797	90	15	,	,	PUNCT
gs-2797	90	16	albeit	albeit	SCONJ
gs-2797	90	17	varying	vary	VERB
gs-2797	90	18	with	with	ADP
gs-2797	90	19	the	the	DET
gs-2797	90	20	choice	choice	NOUN
gs-2797	90	21	of	of	ADP
gs-2797	90	22	initial	initial	ADJ
gs-2797	90	23	points	point	NOUN
gs-2797	90	24	.	.	PUNCT
gs-2797	91	1	furthermore	furthermore	ADV
gs-2797	91	2	,	,	PUNCT
gs-2797	91	3	the	the	DET
gs-2797	91	4	incorporation	incorporation	NOUN
gs-2797	91	5	of	of	ADP
gs-2797	91	6	error	error	NOUN
gs-2797	91	7	considerations	consideration	NOUN
gs-2797	91	8	underscores	underscore	VERB
gs-2797	91	9	the	the	DET
gs-2797	91	10	need	need	NOUN
gs-2797	91	11	for	for	ADP
gs-2797	91	12	robust	robust	ADJ
gs-2797	91	13	methodologies	methodology	NOUN
gs-2797	91	14	capable	capable	ADJ
gs-2797	91	15	of	of	ADP
gs-2797	91	16	navigating	navigate	VERB
gs-2797	91	17	uncertainties	uncertainty	NOUN
gs-2797	91	18	.	.	PUNCT
gs-2797	92	1	in	in	ADP
gs-2797	92	2	conclusion	conclusion	NOUN
gs-2797	92	3	,	,	PUNCT
gs-2797	92	4	optimization	optimization	NOUN
gs-2797	92	5	theory	theory	NOUN
gs-2797	92	6	continues	continue	VERB
gs-2797	92	7	to	to	PART
gs-2797	92	8	be	be	AUX
gs-2797	92	9	a	a	DET
gs-2797	92	10	driving	drive	VERB
gs-2797	92	11	force	force	NOUN
gs-2797	92	12	behind	behind	ADP
gs-2797	92	13	technological	technological	ADJ
gs-2797	92	14	innovation	innovation	NOUN
gs-2797	92	15	,	,	PUNCT
gs-2797	92	16	empowering	empower	VERB
gs-2797	92	17	engineers	engineer	NOUN
gs-2797	92	18	and	and	CCONJ
gs-2797	92	19	researchers	researcher	NOUN
gs-2797	92	20	to	to	PART
gs-2797	92	21	tackle	tackle	VERB
gs-2797	92	22	complex	complex	ADJ
gs-2797	92	23	challenges	challenge	NOUN
gs-2797	92	24	and	and	CCONJ
gs-2797	92	25	unlock	unlock	ADJ
gs-2797	92	26	new	new	ADJ
gs-2797	92	27	frontiers	frontier	NOUN
gs-2797	92	28	in	in	ADP
gs-2797	92	29	scientific	scientific	ADJ
gs-2797	92	30	inquiry	inquiry	NOUN
gs-2797	92	31	and	and	CCONJ
gs-2797	92	32	technical	technical	ADJ
gs-2797	92	33	progress	progress	NOUN
gs-2797	92	34	.	.	PUNCT
gs-2797	93	1	references	reference	NOUN
gs-2797	93	2	1	1	NUM
gs-2797	93	3	.	.	PUNCT
gs-2797	93	4	sergiy	sergiy	PROPN
gs-2797	93	5	butenko	butenko	PROPN
gs-2797	93	6	,	,	PUNCT
gs-2797	93	7	panos	panos	PROPN
gs-2797	93	8	m.	m.	NOUN
gs-2797	93	9	pardalos	pardalos	PROPN
gs-2797	93	10	numerical	numerical	PROPN
gs-2797	93	11	methods	method	NOUN
gs-2797	93	12	and	and	CCONJ
gs-2797	93	13	optimization	optimization	NOUN
gs-2797	93	14	an	an	DET
gs-2797	93	15	introduction	introduction	NOUN
gs-2797	93	16	edition1st	edition1st	PROPN
gs-2797	93	17	edition	edition	PROPN
gs-2797	93	18	,	,	PUNCT
gs-2797	93	19	,	,	PUNCT
gs-2797	93	20	first	first	ADV
gs-2797	93	21	published	publish	VERB
gs-2797	93	22	,	,	PUNCT
gs-2797	93	23	2014	2014	NUM
gs-2797	93	24	2	2	NUM
gs-2797	93	25	.	.	PUNCT
gs-2797	94	1	jamil	jamil	PROPN
gs-2797	94	2	,	,	PUNCT
gs-2797	94	3	momin	momin	PROPN
gs-2797	94	4	,	,	PUNCT
gs-2797	94	5	and	and	CCONJ
gs-2797	94	6	xin	xin	PROPN
gs-2797	94	7	-	-	PROPN
gs-2797	94	8	she	she	PRON
gs-2797	94	9	yang	yang	PROPN
gs-2797	94	10	.	.	PUNCT
gs-2797	95	1	"	"	PUNCT
gs-2797	95	2	a	a	DET
gs-2797	95	3	literature	literature	NOUN
gs-2797	95	4	survey	survey	NOUN
gs-2797	95	5	of	of	ADP
gs-2797	95	6	benchmark	benchmark	NOUN
gs-2797	95	7	functions	function	NOUN
gs-2797	95	8	for	for	ADP
gs-2797	95	9	global	global	ADJ
gs-2797	95	10	optimization	optimization	NOUN
gs-2797	95	11	problems	problem	NOUN
gs-2797	95	12	.	.	PUNCT
gs-2797	95	13	"	"	PUNCT
gs-2797	96	1	international	international	ADJ
gs-2797	96	2	journal	journal	NOUN
gs-2797	96	3	of	of	ADP
gs-2797	96	4	mathematical	mathematical	ADJ
gs-2797	96	5	modelling	modelling	NOUN
gs-2797	96	6	and	and	CCONJ
gs-2797	96	7	numerical	numerical	ADJ
gs-2797	96	8	optimization	optimization	NOUN
gs-2797	96	9	4.2	4.2	NUM
gs-2797	96	10	(	(	PUNCT
gs-2797	96	11	2013	2013	NUM
gs-2797	96	12	)	)	PUNCT
gs-2797	96	13	3	3	NUM
gs-2797	96	14	.	.	X
gs-2797	96	15	george	george	PROPN
gs-2797	96	16	lindfield	lindfield	PROPN
gs-2797	96	17	,	,	PUNCT
gs-2797	96	18	john	john	PROPN
gs-2797	96	19	penny	penny	PROPN
gs-2797	96	20	numerical	numerical	PROPN
gs-2797	96	21	methods	method	NOUN
gs-2797	96	22	:	:	PUNCT
gs-2797	96	23	using	use	VERB
gs-2797	96	24	matlab	matlab	PROPN
gs-2797	96	25	·	·	SYM
gs-2797	96	26	elsevier	elsevier	NOUN
gs-2797	96	27	science	science	NOUN
gs-2797	96	28	,	,	PUNCT
gs-2797	96	29	2018	2018	NUM
gs-2797	96	30	4	4	NUM
gs-2797	96	31	.	.	PUNCT
gs-2797	97	1	nona	nona	PROPN
gs-2797	97	2	otkhozoria	otkhozoria	PROPN
gs-2797	97	3	,	,	PUNCT
gs-2797	97	4	vano	vano	NOUN
gs-2797	97	5	otkhozoria	otkhozoria	NOUN
gs-2797	97	6	,	,	PUNCT
gs-2797	97	7	&	&	CCONJ
gs-2797	97	8	shorena	shorena	PROPN
gs-2797	97	9	khorava	khorava	NOUN
gs-2797	97	10	.	.	PUNCT
gs-2797	98	1	(	(	PUNCT
gs-2797	98	2	2022	2022	NUM
gs-2797	98	3	)	)	PUNCT
gs-2797	98	4	.	.	PUNCT
gs-2797	99	1	search	search	NOUN
gs-2797	99	2	for	for	ADP
gs-2797	99	3	an	an	DET
gs-2797	99	4	extremum	extremum	NOUN
gs-2797	99	5	using	use	VERB
gs-2797	99	6	the	the	DET
gs-2797	99	7	steepest	steep	ADJ
gs-2797	99	8	descent	descent	NOUN
gs-2797	99	9	method	method	NOUN
gs-2797	99	10	under	under	ADP
gs-2797	99	11	the	the	DET
gs-2797	99	12	conditions	condition	NOUN
gs-2797	99	13	of	of	ADP
gs-2797	99	14	experimental	experimental	ADJ
gs-2797	99	15	errors	error	NOUN
gs-2797	99	16	.	.	PUNCT
gs-2797	100	1	world	world	NOUN
gs-2797	100	2	science	science	PROPN
gs-2797	100	3	,	,	PUNCT
gs-2797	100	4	(	(	PUNCT
gs-2797	100	5	2(74	2(74	NOUN
gs-2797	100	6	)	)	PUNCT
gs-2797	100	7	.	.	PUNCT
gs-2797	101	1	https://doi.org/10.31435/rsglobal_ws/28022022/7785	https://doi.org/10.31435/rsglobal_ws/28022022/7785	ADJ
gs-2797	101	2	5	5	NUM
gs-2797	101	3	.	.	PUNCT
gs-2797	101	4	z	z	NOUN
gs-2797	101	5	azmaiparashvili	azmaiparashvili	NOUN
gs-2797	101	6	,	,	PUNCT
gs-2797	101	7	n	n	PRON
gs-2797	101	8	otkhozoria	otkhozoria	NOUN
gs-2797	101	9	(	(	PUNCT
gs-2797	101	10	2021	2021	NUM
gs-2797	101	11	)	)	PUNCT
gs-2797	101	12	“	"	PUNCT
gs-2797	101	13	mathematical	mathematical	ADJ
gs-2797	101	14	model	model	NOUN
gs-2797	101	15	for	for	ADP
gs-2797	101	16	studying	study	VERB
gs-2797	101	17	the	the	DET
gs-2797	101	18	accuracy	accuracy	NOUN
gs-2797	101	19	characteristics	characteristic	NOUN
gs-2797	101	20	of	of	ADP
gs-2797	101	21	devices	device	NOUN
gs-2797	101	22	for	for	ADP
gs-2797	101	23	measuring	measure	VERB
gs-2797	101	24	the	the	DET
gs-2797	101	25	resonant	resonant	ADJ
gs-2797	101	26	frequency	frequency	NOUN
gs-2797	101	27	of	of	ADP
gs-2797	101	28	oscillatory	oscillatory	ADJ
gs-2797	101	29	systems	system	NOUN
gs-2797	101	30	new	new	ADJ
gs-2797	101	31	approaches	approach	NOUN
gs-2797	101	32	in	in	ADP
gs-2797	101	33	engineering	engineering	NOUN
gs-2797	101	34	research	research	NOUN
gs-2797	101	35	”	"	PUNCT
gs-2797	101	36	121	121	NUM
gs-2797	101	37	-	-	SYM
gs-2797	101	38	131	131	NUM
gs-2797	101	39	https://doi.org/10.9734/bpi/naer/v5/10242d	https://doi.org/10.9734/bpi/naer/v5/10242d	PROPN
gs-2797	101	40	6	6	NUM
gs-2797	101	41	.	.	PUNCT
gs-2797	102	1	otkhozoria	otkhozoria	NOUN
gs-2797	102	2	,	,	PUNCT
gs-2797	102	3	n.	n.	NOUN
gs-2797	102	4	,	,	PUNCT
gs-2797	102	5	narchemashvili	narchemashvili	PROPN
gs-2797	102	6	,	,	PUNCT
gs-2797	102	7	m.	m.	NOUN
gs-2797	102	8	and	and	CCONJ
gs-2797	102	9	otkhozoria	otkhozoria	NOUN
gs-2797	102	10	,	,	PUNCT
gs-2797	102	11	v.	v.	PROPN
gs-2797	102	12	(	(	PUNCT
gs-2797	102	13	2023	2023	NUM
gs-2797	102	14	)	)	PUNCT
gs-2797	102	15	“	"	PUNCT
gs-2797	102	16	the	the	DET
gs-2797	102	17	effectiveness	effectiveness	NOUN
gs-2797	102	18	of	of	ADP
gs-2797	102	19	the	the	DET
gs-2797	102	20	hookejeeves	hookejeeve	NOUN
gs-2797	102	21	method	method	NOUN
gs-2797	102	22	in	in	ADP
gs-2797	102	23	the	the	DET
gs-2797	102	24	experiment	experiment	NOUN
gs-2797	102	25	under	under	ADP
gs-2797	102	26	error	error	NOUN
gs-2797	102	27	conditions	condition	NOUN
gs-2797	102	28	is	be	AUX
gs-2797	102	29	assessed	assess	VERB
gs-2797	102	30	”	"	PUNCT
gs-2797	102	31	,	,	PUNCT
gs-2797	102	32	georgian	georgian	PROPN
gs-2797	102	33	scientists	scientist	NOUN
gs-2797	102	34	,	,	PUNCT
gs-2797	102	35	5(4	5(4	NUM
gs-2797	102	36	)	)	PUNCT
gs-2797	102	37	,	,	PUNCT
gs-2797	102	38	pp	pp	ADJ
gs-2797	102	39	.	.	PUNCT
gs-2797	103	1	285–288	285–288	NUM
gs-2797	103	2	.	.	PUNCT
gs-2797	104	1	doi	doi	NOUN
gs-2797	104	2	:	:	PUNCT
gs-2797	104	3	10.52340	10.52340	NUM
gs-2797	104	4	/	/	SYM
gs-2797	104	5	gs.2023.05.04.25	gs.2023.05.04.25	NOUN
gs-2797	104	6	.	.	PROPN
gs-2797	105	1	7	7	X
gs-2797	105	2	.	.	X
gs-2797	105	3	zaal	zaal	NOUN
gs-2797	105	4	azmaiparashvili	azmaiparashvili	PROPN
gs-2797	105	5	,	,	PUNCT
gs-2797	105	6	nona	nona	PROPN
gs-2797	105	7	otkhozoria	otkhozoria	PROPN
gs-2797	105	8	,	,	PUNCT
gs-2797	105	9	alexander	alexander	PROPN
gs-2797	105	10	maltsev	maltsev	PROPN
gs-2797	105	11	.	.	PUNCT
gs-2797	106	1	analytic	analytic	ADJ
gs-2797	106	2	-	-	PUNCT
gs-2797	106	3	imitation	imitation	NOUN
gs-2797	106	4	model	model	NOUN
gs-2797	106	5	for	for	ADP
gs-2797	106	6	determination	determination	NOUN
gs-2797	106	7	of	of	ADP
gs-2797	106	8	the	the	DET
gs-2797	106	9	natural	natural	ADJ
gs-2797	106	10	frequency	frequency	NOUN
gs-2797	106	11	of	of	ADP
gs-2797	106	12	oscillatory	oscillatory	ADJ
gs-2797	106	13	systems	system	NOUN
gs-2797	106	14	and	and	CCONJ
gs-2797	106	15	its	its	PRON
gs-2797	106	16	research	research	NOUN
gs-2797	106	17	.	.	PUNCT
gs-2797	107	1	engineering	engineering	NOUN
gs-2797	107	2	and	and	CCONJ
gs-2797	107	3	technology	technology	NOUN
gs-2797	107	4	.	.	PUNCT
gs-2797	108	1	vol	vol	NOUN
gs-2797	108	2	.	.	PROPN
gs-2797	109	1	4	4	NUM
gs-2797	109	2	,	,	PUNCT
gs-2797	109	3	no	no	INTJ
gs-2797	109	4	.	.	NOUN
gs-2797	109	5	6	6	NUM
gs-2797	109	6	,	,	PUNCT
gs-2797	109	7	2017	2017	NUM
gs-2797	109	8	,	,	PUNCT
gs-2797	109	9	pp	pp	ADJ
gs-2797	109	10	.	.	PUNCT
gs-2797	110	1	82	82	NUM
gs-2797	110	2	-	-	SYM
gs-2797	110	3	87	87	NUM
gs-2797	110	4	.	.	PUNCT
gs-2797	111	1	http://www.aascit.org/journal/archive2?journalid=896&paperid=5986	http://www.aascit.org/journal/archive2?journalid=896&paperid=5986	NOUN
gs-2797	111	2	8	8	NUM
gs-2797	111	3	.	.	PUNCT
gs-2797	112	1	menabde	menabde	PROPN
gs-2797	112	2	,	,	PUNCT
gs-2797	112	3	t.	t.	PROPN
gs-2797	112	4	,	,	PUNCT
gs-2797	112	5	otkhozoria	otkhozoria	NOUN
gs-2797	112	6	,	,	PUNCT
gs-2797	112	7	n.	n.	NOUN
gs-2797	112	8	,	,	PUNCT
gs-2797	112	9	&	&	CCONJ
gs-2797	112	10	otkhozoria	otkhozoria	PROPN
gs-2797	112	11	,	,	PUNCT
gs-2797	112	12	v.	v.	PROPN
gs-2797	112	13	(	(	PUNCT
gs-2797	112	14	2024	2024	NUM
gs-2797	112	15	)	)	PUNCT
gs-2797	112	16	.	.	PUNCT
gs-2797	113	1	use	use	NOUN
gs-2797	113	2	of	of	ADP
gs-2797	113	3	the	the	DET
gs-2797	113	4	theory	theory	NOUN
gs-2797	113	5	of	of	ADP
gs-2797	113	6	measurement	measurement	NOUN
gs-2797	113	7	uncertainty	uncertainty	NOUN
gs-2797	113	8	in	in	ADP
gs-2797	113	9	procedures	procedure	NOUN
gs-2797	113	10	for	for	ADP
gs-2797	113	11	data	data	NOUN
gs-2797	113	12	processing	processing	NOUN
gs-2797	113	13	and	and	CCONJ
gs-2797	113	14	results	result	NOUN
gs-2797	113	15	obtained	obtain	VERB
gs-2797	113	16	by	by	ADP
gs-2797	113	17	checking	checking	NOUN
gs-2797	113	18	-	-	PUNCT
gs-2797	113	19	calibration	calibration	NOUN
gs-2797	113	20	gas	gas	NOUN
gs-2797	113	21	flow	flow	NOUN
gs-2797	113	22	georgian	georgian	NOUN
gs-2797	113	23	scientists/	scientists/	NUM
gs-2797	113	24	.	.	PUNCT
gs-2797	114	1	6	6	NUM
gs-2797	114	2	n	n	NUM
gs-2797	114	3	2	2	NUM
gs-2797	114	4	,	,	PUNCT
gs-2797	114	5	2024	2024	NUM
gs-2797	114	6	293	293	NUM
gs-2797	114	7	meters	meter	NOUN
gs-2797	114	8	.	.	PUNCT
gs-2797	115	1	international	international	ADJ
gs-2797	115	2	science	science	PROPN
gs-2797	115	3	journal	journal	PROPN
gs-2797	115	4	of	of	ADP
gs-2797	115	5	engineering	engineering	PROPN
gs-2797	115	6	&	&	CCONJ
gs-2797	115	7	agriculture	agriculture	PROPN
gs-2797	115	8	,	,	PUNCT
gs-2797	115	9	3(2	3(2	NUM
gs-2797	115	10	)	)	PUNCT
gs-2797	115	11	,	,	PUNCT
gs-2797	115	12	40–46	40–46	NUM
gs-2797	115	13	.	.	PUNCT
gs-2797	116	1	https://doi.org/10.46299/j.isjea.20240302.03	https://doi.org/10.46299/j.isjea.20240302.03	ADJ
gs-2797	116	2	,	,	PUNCT
gs-2797	116	3	,	,	PUNCT
gs-2797	116	4	,	,	PUNCT
gs-2797	116	5	,	,	PUNCT
gs-2797	116	6	.	.	PUNCT
gs-2797	116	7	,	,	PUNCT
gs-2797	116	8	.	.	PUNCT
gs-2797	117	1	,	,	PUNCT
gs-2797	117	2	.	.	PUNCT
gs-2797	118	1	,	,	PUNCT
gs-2797	118	2	,	,	PUNCT
gs-2797	118	3	,	,	PUNCT
gs-2797	118	4	.	.	PUNCT
gs-2797	119	1	,	,	PUNCT
gs-2797	119	2	,	,	PUNCT
gs-2797	119	3	.	.	PUNCT
gs-2797	120	1	:	:	PUNCT
gs-2797	120	2	,	,	PUNCT
gs-2797	120	3	,	,	PUNCT
gs-2797	120	4	,	,	PUNCT
gs-2797	120	5	,	,	PUNCT