id	sid	tid	token	lemma	pos
ajird-1499	1	1	american	american	PROPN
ajird-1499	1	2	journal	journal	PROPN
ajird-1499	1	3	of	of	ADP
ajird-1499	1	4	interdisciplinary	interdisciplinary	ADJ
ajird-1499	1	5	research	research	NOUN
ajird-1499	1	6	and	and	CCONJ
ajird-1499	1	7	development	development	NOUN
ajird-1499	1	8	issn	issn	PROPN
ajird-1499	1	9	online	online	NOUN
ajird-1499	1	10	:	:	PUNCT
ajird-1499	1	11	2771	2771	NUM
ajird-1499	1	12	-	-	SYM
ajird-1499	1	13	8948	8948	NUM
ajird-1499	1	14	website	website	NOUN
ajird-1499	1	15	:	:	PUNCT
ajird-1499	1	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	1	17	volume	volume	NOUN
ajird-1499	1	18	38	38	NUM
ajird-1499	1	19	,	,	PUNCT
ajird-1499	1	20	march	march	PROPN
ajird-1499	1	21	2025	2025	NUM
ajird-1499	1	22	67	67	NUM
ajird-1499	2	1	|	|	ADV
ajird-1499	2	2	p	p	NOUN
ajird-1499	2	3	a	a	DET
ajird-1499	2	4	g	g	NOUN
ajird-1499	2	5	e	e	NOUN
ajird-1499	2	6	construction	construction	NOUN
ajird-1499	2	7	of	of	ADP
ajird-1499	2	8	correlation	correlation	NOUN
ajird-1499	2	9	models	model	NOUN
ajird-1499	2	10	of	of	ADP
ajird-1499	2	11	oscillatory	oscillatory	ADJ
ajird-1499	2	12	processes	process	NOUN
ajird-1499	2	13	by	by	ADP
ajird-1499	2	14	an	an	DET
ajird-1499	2	15	alternative	alternative	ADJ
ajird-1499	2	16	method	method	NOUN
ajird-1499	2	17	sh	sh	PROPN
ajird-1499	2	18	.	.	PROPN
ajird-1499	2	19	b.	b.	PROPN
ajird-1499	2	20	ochilov	ochilov	PROPN
ajird-1499	2	21	,	,	PUNCT
ajird-1499	2	22	o.	o.	PROPN
ajird-1499	2	23	q.	q.	PROPN
ajird-1499	2	24	akramova	akramova	PROPN
ajird-1499	2	25	,	,	PUNCT
ajird-1499	2	26	n.	n.	PROPN
ajird-1499	2	27	n.	n.	PROPN
ajird-1499	2	28	rasulova	rasulova	PROPN
ajird-1499	3	1	bukhara	bukhara	PROPN
ajird-1499	3	2	state	state	PROPN
ajird-1499	3	3	technical	technical	PROPN
ajird-1499	3	4	university	university	PROPN
ajird-1499	3	5	,	,	PUNCT
ajird-1499	3	6	bukhara	bukhara	PROPN
ajird-1499	3	7	,	,	PUNCT
ajird-1499	3	8	uzbekistan	uzbekistan	PROPN
ajird-1499	3	9	abstract	abstract	NOUN
ajird-1499	3	10	this	this	DET
ajird-1499	3	11	article	article	NOUN
ajird-1499	3	12	examines	examine	VERB
ajird-1499	3	13	economic	economic	ADJ
ajird-1499	3	14	processes	process	NOUN
ajird-1499	3	15	with	with	ADP
ajird-1499	3	16	correlational	correlational	ADJ
ajird-1499	3	17	dependencies	dependency	NOUN
ajird-1499	3	18	that	that	PRON
ajird-1499	3	19	change	change	VERB
ajird-1499	3	20	over	over	ADP
ajird-1499	3	21	time	time	NOUN
ajird-1499	3	22	according	accord	VERB
ajird-1499	3	23	to	to	ADP
ajird-1499	3	24	a	a	DET
ajird-1499	3	25	harmonic	harmonic	ADJ
ajird-1499	3	26	law	law	NOUN
ajird-1499	3	27	,	,	PUNCT
ajird-1499	3	28	and	and	CCONJ
ajird-1499	3	29	it	it	PRON
ajird-1499	3	30	also	also	ADV
ajird-1499	3	31	proposes	propose	VERB
ajird-1499	3	32	a	a	DET
ajird-1499	3	33	method	method	NOUN
ajird-1499	3	34	for	for	ADP
ajird-1499	3	35	determining	determine	VERB
ajird-1499	3	36	the	the	DET
ajird-1499	3	37	period	period	NOUN
ajird-1499	3	38	,	,	PUNCT
ajird-1499	3	39	phase	phase	NOUN
ajird-1499	3	40	,	,	PUNCT
ajird-1499	3	41	and	and	CCONJ
ajird-1499	3	42	frequency	frequency	NOUN
ajird-1499	3	43	of	of	ADP
ajird-1499	3	44	the	the	DET
ajird-1499	3	45	oscillations	oscillation	NOUN
ajird-1499	3	46	in	in	ADP
ajird-1499	3	47	these	these	DET
ajird-1499	3	48	processes	process	NOUN
ajird-1499	3	49	.	.	PUNCT
ajird-1499	4	1	the	the	DET
ajird-1499	4	2	article	article	NOUN
ajird-1499	4	3	proposes	propose	VERB
ajird-1499	4	4	a	a	DET
ajird-1499	4	5	method	method	NOUN
ajird-1499	4	6	for	for	ADP
ajird-1499	4	7	determining	determine	VERB
ajird-1499	4	8	the	the	DET
ajird-1499	4	9	coefficients	coefficient	NOUN
ajird-1499	4	10	a	a	PRON
ajird-1499	4	11	and	and	CCONJ
ajird-1499	4	12	b	b	NOUN
ajird-1499	4	13	in	in	ADP
ajird-1499	4	14	the	the	DET
ajird-1499	4	15	harmonic	harmonic	ADJ
ajird-1499	4	16	function	function	NOUN
ajird-1499	4	17	,	,	PUNCT
ajird-1499	4	18	which	which	PRON
ajird-1499	4	19	was	be	AUX
ajird-1499	4	20	obtained	obtain	VERB
ajird-1499	4	21	as	as	ADP
ajird-1499	4	22	a	a	DET
ajird-1499	4	23	result	result	NOUN
ajird-1499	4	24	of	of	ADP
ajird-1499	4	25	research	research	NOUN
ajird-1499	4	26	.	.	PUNCT
ajird-1499	5	1	keywords	keyword	NOUN
ajird-1499	5	2	:	:	PUNCT
ajird-1499	5	3	differential	differential	ADJ
ajird-1499	5	4	equation	equation	NOUN
ajird-1499	5	5	,	,	PUNCT
ajird-1499	5	6	finite	finite	VERB
ajird-1499	5	7	differences	difference	NOUN
ajird-1499	5	8	,	,	PUNCT
ajird-1499	5	9	period	period	NOUN
ajird-1499	5	10	of	of	ADP
ajird-1499	5	11	oscillation	oscillation	NOUN
ajird-1499	5	12	,	,	PUNCT
ajird-1499	5	13	frequency	frequency	NOUN
ajird-1499	5	14	of	of	ADP
ajird-1499	5	15	oscillation	oscillation	NOUN
ajird-1499	5	16	,	,	PUNCT
ajird-1499	5	17	harmonic	harmonic	ADJ
ajird-1499	5	18	functions	function	NOUN
ajird-1499	5	19	,	,	PUNCT
ajird-1499	5	20	cyclicity	cyclicity	NOUN
ajird-1499	5	21	of	of	ADP
ajird-1499	5	22	fluctuations	fluctuation	NOUN
ajird-1499	5	23	in	in	ADP
ajird-1499	5	24	crop	crop	NOUN
ajird-1499	5	25	yields	yield	NOUN
ajird-1499	5	26	,	,	PUNCT
ajird-1499	5	27	oscillation	oscillation	NOUN
ajird-1499	5	28	phase	phase	NOUN
ajird-1499	5	29	.	.	PUNCT
ajird-1499	6	1	introduction	introduction	NOUN
ajird-1499	6	2	many	many	ADJ
ajird-1499	6	3	processes	process	NOUN
ajird-1499	6	4	in	in	ADP
ajird-1499	6	5	nature	nature	NOUN
ajird-1499	6	6	occur	occur	VERB
ajird-1499	6	7	on	on	ADP
ajird-1499	6	8	the	the	DET
ajird-1499	6	9	basis	basis	NOUN
ajird-1499	6	10	of	of	ADP
ajird-1499	6	11	oscillatory	oscillatory	ADJ
ajird-1499	6	12	laws	law	NOUN
ajird-1499	6	13	.	.	PUNCT
ajird-1499	7	1	based	base	VERB
ajird-1499	7	2	on	on	ADP
ajird-1499	7	3	the	the	DET
ajird-1499	7	4	results	result	NOUN
ajird-1499	7	5	of	of	ADP
ajird-1499	7	6	experiments	experiment	NOUN
ajird-1499	7	7	,	,	PUNCT
ajird-1499	7	8	the	the	DET
ajird-1499	7	9	main	main	ADJ
ajird-1499	7	10	characteristics	characteristic	NOUN
ajird-1499	7	11	,	,	PUNCT
ajird-1499	7	12	such	such	ADJ
ajird-1499	7	13	as	as	ADP
ajird-1499	7	14	the	the	DET
ajird-1499	7	15	oscillation	oscillation	NOUN
ajird-1499	7	16	period	period	NOUN
ajird-1499	7	17	,	,	PUNCT
ajird-1499	7	18	frequency	frequency	NOUN
ajird-1499	7	19	,	,	PUNCT
ajird-1499	7	20	oscillation	oscillation	NOUN
ajird-1499	7	21	phase	phase	NOUN
ajird-1499	7	22	and	and	CCONJ
ajird-1499	7	23	amplitude	amplitude	NOUN
ajird-1499	7	24	,	,	PUNCT
ajird-1499	7	25	are	be	AUX
ajird-1499	7	26	easily	easily	ADV
ajird-1499	7	27	determined	determined	ADJ
ajird-1499	7	28	if	if	SCONJ
ajird-1499	7	29	the	the	DET
ajird-1499	7	30	dependence	dependence	NOUN
ajird-1499	7	31	is	be	AUX
ajird-1499	7	32	functional	functional	ADJ
ajird-1499	7	33	.	.	PUNCT
ajird-1499	8	1	for	for	ADP
ajird-1499	8	2	example	example	NOUN
ajird-1499	8	3	,	,	PUNCT
ajird-1499	8	4	oscillations	oscillation	NOUN
ajird-1499	8	5	of	of	ADP
ajird-1499	8	6	electromagnetic	electromagnetic	ADJ
ajird-1499	8	7	waves	wave	NOUN
ajird-1499	8	8	,	,	PUNCT
ajird-1499	8	9	oscillations	oscillation	NOUN
ajird-1499	8	10	of	of	ADP
ajird-1499	8	11	a	a	DET
ajird-1499	8	12	mathematical	mathematical	ADJ
ajird-1499	8	13	pendulum	pendulum	NOUN
ajird-1499	8	14	.	.	PUNCT
ajird-1499	9	1	however	however	ADV
ajird-1499	9	2	,	,	PUNCT
ajird-1499	9	3	when	when	SCONJ
ajird-1499	9	4	studying	study	VERB
ajird-1499	9	5	processes	process	NOUN
ajird-1499	9	6	with	with	ADP
ajird-1499	9	7	correlational	correlational	ADJ
ajird-1499	9	8	dependencies	dependency	NOUN
ajird-1499	9	9	,	,	PUNCT
ajird-1499	9	10	the	the	DET
ajird-1499	9	11	task	task	NOUN
ajird-1499	9	12	becomes	become	VERB
ajird-1499	9	13	more	more	ADV
ajird-1499	9	14	complex	complex	ADJ
ajird-1499	9	15	,	,	PUNCT
ajird-1499	9	16	as	as	SCONJ
ajird-1499	9	17	it	it	PRON
ajird-1499	9	18	requires	require	VERB
ajird-1499	9	19	determining	determine	VERB
ajird-1499	9	20	the	the	DET
ajird-1499	9	21	period	period	NOUN
ajird-1499	9	22	of	of	ADP
ajird-1499	9	23	oscillation	oscillation	NOUN
ajird-1499	9	24	,	,	PUNCT
ajird-1499	9	25	amplitude	amplitude	NOUN
ajird-1499	9	26	,	,	PUNCT
ajird-1499	9	27	and	and	CCONJ
ajird-1499	9	28	other	other	ADJ
ajird-1499	9	29	parameters	parameter	NOUN
ajird-1499	9	30	.	.	PUNCT
ajird-1499	10	1	additionally	additionally	ADV
ajird-1499	10	2	,	,	PUNCT
ajird-1499	10	3	it	it	PRON
ajird-1499	10	4	is	be	AUX
ajird-1499	10	5	necessary	necessary	ADJ
ajird-1499	10	6	to	to	PART
ajird-1499	10	7	analyze	analyze	VERB
ajird-1499	10	8	and	and	CCONJ
ajird-1499	10	9	compare	compare	VERB
ajird-1499	10	10	large	large	ADJ
ajird-1499	10	11	volumes	volume	NOUN
ajird-1499	10	12	of	of	ADP
ajird-1499	10	13	data	datum	NOUN
ajird-1499	10	14	over	over	ADP
ajird-1499	10	15	an	an	DET
ajird-1499	10	16	extended	extended	ADJ
ajird-1499	10	17	period	period	NOUN
ajird-1499	10	18	.	.	PUNCT
ajird-1499	11	1	in	in	ADP
ajird-1499	11	2	this	this	DET
ajird-1499	11	3	paper	paper	NOUN
ajird-1499	11	4	,	,	PUNCT
ajird-1499	11	5	an	an	DET
ajird-1499	11	6	attempt	attempt	NOUN
ajird-1499	11	7	is	be	AUX
ajird-1499	11	8	made	make	VERB
ajird-1499	11	9	to	to	PART
ajird-1499	11	10	answer	answer	VERB
ajird-1499	11	11	the	the	DET
ajird-1499	11	12	following	follow	VERB
ajird-1499	11	13	questions	question	NOUN
ajird-1499	11	14	:	:	PUNCT
ajird-1499	11	15	1	1	X
ajird-1499	11	16	.	.	X
ajird-1499	11	17	is	be	AUX
ajird-1499	11	18	it	it	PRON
ajird-1499	11	19	possible	possible	ADJ
ajird-1499	11	20	to	to	PART
ajird-1499	11	21	determine	determine	VERB
ajird-1499	11	22	whether	whether	SCONJ
ajird-1499	11	23	the	the	DET
ajird-1499	11	24	process	process	NOUN
ajird-1499	11	25	уi	уi	X
ajird-1499	11	26	=	=	SYM
ajird-1499	11	27	f(xi	f(xi	X
ajird-1499	11	28	)	)	PUNCT
ajird-1499	11	29	is	be	AUX
ajird-1499	11	30	harmonic	harmonic	ADJ
ajird-1499	11	31	if	if	SCONJ
ajird-1499	11	32	the	the	DET
ajird-1499	11	33	results	result	NOUN
ajird-1499	11	34	of	of	ADP
ajird-1499	11	35	experiments	experiment	NOUN
ajird-1499	11	36	on	on	ADP
ajird-1499	11	37	the	the	DET
ajird-1499	11	38	process	process	NOUN
ajird-1499	11	39	т	т	X
ajird-1499	11	40	at	at	ADP
ajird-1499	11	41	points	point	NOUN
ajird-1499	11	42	хi	хi	NOUN
ajird-1499	11	43	and	and	CCONJ
ajird-1499	11	44	уi	уi	ADV
ajird-1499	11	45	are	be	AUX
ajird-1499	11	46	known	know	VERB
ajird-1499	11	47	?	?	PUNCT
ajird-1499	12	1	is	be	AUX
ajird-1499	12	2	there	there	PRON
ajird-1499	12	3	a	a	DET
ajird-1499	12	4	mathematical	mathematical	ADJ
ajird-1499	12	5	criterion	criterion	NOUN
ajird-1499	12	6	to	to	PART
ajird-1499	12	7	verify	verify	VERB
ajird-1499	12	8	the	the	DET
ajird-1499	12	9	correctness	correctness	NOUN
ajird-1499	12	10	of	of	ADP
ajird-1499	12	11	this	this	DET
ajird-1499	12	12	statement	statement	NOUN
ajird-1499	12	13	?	?	PUNCT
ajird-1499	13	1	2	2	X
ajird-1499	13	2	.	.	X
ajird-1499	13	3	how	how	SCONJ
ajird-1499	13	4	to	to	PART
ajird-1499	13	5	determine	determine	VERB
ajird-1499	13	6	the	the	DET
ajird-1499	13	7	method	method	NOUN
ajird-1499	13	8	for	for	ADP
ajird-1499	13	9	finding	find	VERB
ajird-1499	13	10	the	the	DET
ajird-1499	13	11	period	period	NOUN
ajird-1499	13	12	of	of	ADP
ajird-1499	13	13	oscillation	oscillation	NOUN
ajird-1499	13	14	,	,	PUNCT
ajird-1499	13	15	frequency	frequency	NOUN
ajird-1499	13	16	,	,	PUNCT
ajird-1499	13	17	and	and	CCONJ
ajird-1499	13	18	phase	phase	NOUN
ajird-1499	13	19	of	of	ADP
ajird-1499	13	20	oscillation	oscillation	NOUN
ajird-1499	13	21	?	?	PUNCT
ajird-1499	14	1	3	3	X
ajird-1499	14	2	.	.	X
ajird-1499	14	3	how	how	SCONJ
ajird-1499	14	4	can	can	AUX
ajird-1499	14	5	the	the	DET
ajird-1499	14	6	coefficients	coefficient	NOUN
ajird-1499	14	7	a	a	PRON
ajird-1499	14	8	and	and	CCONJ
ajird-1499	14	9	b	b	NOUN
ajird-1499	14	10	be	be	AUX
ajird-1499	14	11	determined	determine	VERB
ajird-1499	14	12	if	if	SCONJ
ajird-1499	14	13	the	the	DET
ajird-1499	14	14	harmonic	harmonic	ADJ
ajird-1499	14	15	function	function	NOUN
ajird-1499	14	16	obtained	obtain	VERB
ajird-1499	14	17	from	from	ADP
ajird-1499	14	18	the	the	DET
ajird-1499	14	19	study	study	NOUN
ajird-1499	14	20	is	be	AUX
ajird-1499	14	21	𝑦	𝑦	NOUN
ajird-1499	14	22	=	=	X
ajird-1499	14	23	𝐴𝑠𝑖𝑛(𝜔𝑥	𝐴𝑠𝑖𝑛(𝜔𝑥	NOUN
ajird-1499	14	24	)	)	PUNCT
ajird-1499	15	1	+	+	PUNCT
ajird-1499	15	2	𝐵𝑐𝑜𝑠(𝜔𝑥	𝐵𝑐𝑜𝑠(𝜔𝑥	NOUN
ajird-1499	15	3	)	)	PUNCT
ajird-1499	15	4	?	?	PUNCT
ajird-1499	16	1	american	american	ADJ
ajird-1499	16	2	journal	journal	PROPN
ajird-1499	16	3	of	of	ADP
ajird-1499	16	4	interdisciplinary	interdisciplinary	ADJ
ajird-1499	16	5	research	research	NOUN
ajird-1499	16	6	and	and	CCONJ
ajird-1499	16	7	development	development	NOUN
ajird-1499	16	8	issn	issn	PROPN
ajird-1499	16	9	online	online	NOUN
ajird-1499	16	10	:	:	PUNCT
ajird-1499	16	11	2771	2771	NUM
ajird-1499	16	12	-	-	SYM
ajird-1499	16	13	8948	8948	NUM
ajird-1499	16	14	website	website	NOUN
ajird-1499	16	15	:	:	PUNCT
ajird-1499	16	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	16	17	volume	volume	NOUN
ajird-1499	16	18	38	38	NUM
ajird-1499	16	19	,	,	PUNCT
ajird-1499	16	20	march	march	PROPN
ajird-1499	16	21	2025	2025	NUM
ajird-1499	16	22	68	68	NUM
ajird-1499	17	1	|	|	ADV
ajird-1499	17	2	p	p	NOUN
ajird-1499	17	3	a	a	DET
ajird-1499	17	4	g	g	NOUN
ajird-1499	17	5	e	e	NOUN
ajird-1499	17	6	materials	material	NOUN
ajird-1499	17	7	and	and	CCONJ
ajird-1499	17	8	methods	method	NOUN
ajird-1499	17	9	when	when	SCONJ
ajird-1499	17	10	solving	solve	VERB
ajird-1499	17	11	practical	practical	ADJ
ajird-1499	17	12	problems	problem	NOUN
ajird-1499	17	13	,	,	PUNCT
ajird-1499	17	14	researchers	researcher	NOUN
ajird-1499	17	15	often	often	ADV
ajird-1499	17	16	face	face	VERB
ajird-1499	17	17	the	the	DET
ajird-1499	17	18	question	question	NOUN
ajird-1499	17	19	of	of	ADP
ajird-1499	17	20	whether	whether	SCONJ
ajird-1499	17	21	a	a	DET
ajird-1499	17	22	given	give	VERB
ajird-1499	17	23	process	process	NOUN
ajird-1499	17	24	is	be	AUX
ajird-1499	17	25	an	an	DET
ajird-1499	17	26	oscillatory	oscillatory	ADJ
ajird-1499	17	27	process	process	NOUN
ajird-1499	17	28	.	.	PUNCT
ajird-1499	18	1	this	this	DET
ajird-1499	18	2	question	question	NOUN
ajird-1499	18	3	arises	arise	VERB
ajird-1499	18	4	in	in	ADP
ajird-1499	18	5	several	several	ADJ
ajird-1499	18	6	cases	case	NOUN
ajird-1499	18	7	,	,	PUNCT
ajird-1499	18	8	such	such	ADJ
ajird-1499	18	9	as	as	ADP
ajird-1499	18	10	:	:	PUNCT
ajird-1499	18	11	studying	study	VERB
ajird-1499	18	12	the	the	DET
ajird-1499	18	13	yield	yield	NOUN
ajird-1499	18	14	of	of	ADP
ajird-1499	18	15	agricultural	agricultural	ADJ
ajird-1499	18	16	crops	crop	NOUN
ajird-1499	18	17	,	,	PUNCT
ajird-1499	18	18	examining	examine	VERB
ajird-1499	18	19	the	the	DET
ajird-1499	18	20	fluctuation	fluctuation	NOUN
ajird-1499	18	21	in	in	ADP
ajird-1499	18	22	demand	demand	NOUN
ajird-1499	18	23	for	for	ADP
ajird-1499	18	24	goods	good	NOUN
ajird-1499	18	25	and	and	CCONJ
ajird-1499	18	26	services	service	NOUN
ajird-1499	18	27	depending	depend	VERB
ajird-1499	18	28	on	on	ADP
ajird-1499	18	29	the	the	DET
ajird-1499	18	30	season	season	NOUN
ajird-1499	18	31	,	,	PUNCT
ajird-1499	18	32	and	and	CCONJ
ajird-1499	18	33	studying	study	VERB
ajird-1499	18	34	the	the	DET
ajird-1499	18	35	periodicity	periodicity	NOUN
ajird-1499	18	36	of	of	ADP
ajird-1499	18	37	earthquake	earthquake	NOUN
ajird-1499	18	38	occurrences	occurrence	NOUN
ajird-1499	18	39	in	in	ADP
ajird-1499	18	40	seismically	seismically	ADV
ajird-1499	18	41	active	active	ADJ
ajird-1499	18	42	zones	zone	NOUN
ajird-1499	18	43	.	.	PUNCT
ajird-1499	19	1	oscillatory	oscillatory	ADJ
ajird-1499	19	2	processes	process	NOUN
ajird-1499	19	3	of	of	ADP
ajird-1499	19	4	agricultural	agricultural	ADJ
ajird-1499	19	5	crop	crop	NOUN
ajird-1499	19	6	yields	yield	NOUN
ajird-1499	19	7	have	have	AUX
ajird-1499	19	8	been	be	AUX
ajird-1499	19	9	examined	examine	VERB
ajird-1499	19	10	in	in	ADP
ajird-1499	19	11	the	the	DET
ajird-1499	19	12	scientific	scientific	ADJ
ajird-1499	19	13	works	work	NOUN
ajird-1499	19	14	of	of	ADP
ajird-1499	19	15	russian	russian	ADJ
ajird-1499	19	16	researchers	researcher	NOUN
ajird-1499	19	17	,	,	PUNCT
ajird-1499	19	18	in	in	ADP
ajird-1499	19	19	which	which	PRON
ajird-1499	19	20	the	the	DET
ajird-1499	19	21	regularity	regularity	NOUN
ajird-1499	19	22	of	of	ADP
ajird-1499	19	23	grain	grain	NOUN
ajird-1499	19	24	crop	crop	NOUN
ajird-1499	19	25	yield	yield	NOUN
ajird-1499	19	26	fluctuations	fluctuation	NOUN
ajird-1499	19	27	has	have	AUX
ajird-1499	19	28	been	be	AUX
ajird-1499	19	29	established	establish	VERB
ajird-1499	19	30	[	[	PUNCT
ajird-1499	19	31	1,2,3	1,2,3	NUM
ajird-1499	19	32	]	]	PUNCT
ajird-1499	19	33	.	.	PUNCT
ajird-1499	20	1	based	base	VERB
ajird-1499	20	2	on	on	ADP
ajird-1499	20	3	the	the	DET
ajird-1499	20	4	study	study	NOUN
ajird-1499	20	5	of	of	ADP
ajird-1499	20	6	long	long	ADJ
ajird-1499	20	7	-	-	PUNCT
ajird-1499	20	8	term	term	NOUN
ajird-1499	20	9	time	time	NOUN
ajird-1499	20	10	series	series	NOUN
ajird-1499	20	11	,	,	PUNCT
ajird-1499	20	12	the	the	DET
ajird-1499	20	13	authors	author	NOUN
ajird-1499	20	14	identified	identify	VERB
ajird-1499	20	15	the	the	DET
ajird-1499	20	16	existence	existence	NOUN
ajird-1499	20	17	of	of	ADP
ajird-1499	20	18	a	a	DET
ajird-1499	20	19	certain	certain	ADJ
ajird-1499	20	20	yield	yield	NOUN
ajird-1499	20	21	fluctuation	fluctuation	NOUN
ajird-1499	20	22	cycle	cycle	NOUN
ajird-1499	20	23	and	and	CCONJ
ajird-1499	20	24	established	establish	VERB
ajird-1499	20	25	the	the	DET
ajird-1499	20	26	regularity	regularity	NOUN
ajird-1499	20	27	of	of	ADP
ajird-1499	20	28	this	this	DET
ajird-1499	20	29	process	process	NOUN
ajird-1499	20	30	.	.	PUNCT
ajird-1499	21	1	additionally	additionally	ADV
ajird-1499	21	2	,	,	PUNCT
ajird-1499	21	3	several	several	ADJ
ajird-1499	21	4	articles	article	NOUN
ajird-1499	21	5	were	be	AUX
ajird-1499	21	6	published	publish	VERB
ajird-1499	21	7	in	in	ADP
ajird-1499	21	8	the	the	DET
ajird-1499	21	9	journal	journal	NOUN
ajird-1499	21	10	“	"	PUNCT
ajird-1499	21	11	хлопководство	хлопководство	PROPN
ajird-1499	21	12	”	"	PUNCT
ajird-1499	21	13	(	(	PUNCT
ajird-1499	21	14	cotton	cotton	NOUN
ajird-1499	21	15	cultivation	cultivation	NOUN
ajird-1499	21	16	)	)	PUNCT
ajird-1499	21	17	where	where	SCONJ
ajird-1499	21	18	an	an	DET
ajird-1499	21	19	attempt	attempt	NOUN
ajird-1499	21	20	was	be	AUX
ajird-1499	21	21	made	make	VERB
ajird-1499	21	22	to	to	PART
ajird-1499	21	23	prove	prove	VERB
ajird-1499	21	24	the	the	DET
ajird-1499	21	25	existence	existence	NOUN
ajird-1499	21	26	of	of	ADP
ajird-1499	21	27	cyclical	cyclical	ADJ
ajird-1499	21	28	fluctuations	fluctuation	NOUN
ajird-1499	21	29	in	in	ADP
ajird-1499	21	30	crop	crop	NOUN
ajird-1499	21	31	yields	yield	NOUN
ajird-1499	21	32	across	across	ADP
ajird-1499	21	33	all	all	DET
ajird-1499	21	34	cotton	cotton	NOUN
ajird-1499	21	35	-	-	PUNCT
ajird-1499	21	36	growing	grow	VERB
ajird-1499	21	37	republics	republic	NOUN
ajird-1499	21	38	of	of	ADP
ajird-1499	21	39	the	the	DET
ajird-1499	21	40	former	former	ADJ
ajird-1499	21	41	soviet	soviet	PROPN
ajird-1499	21	42	union	union	NOUN
ajird-1499	21	43	.	.	PUNCT
ajird-1499	22	1	it	it	PRON
ajird-1499	22	2	was	be	AUX
ajird-1499	22	3	also	also	ADV
ajird-1499	22	4	demonstrated	demonstrate	VERB
ajird-1499	22	5	that	that	SCONJ
ajird-1499	22	6	these	these	DET
ajird-1499	22	7	regularities	regularity	NOUN
ajird-1499	22	8	apply	apply	VERB
ajird-1499	22	9	to	to	ADP
ajird-1499	22	10	other	other	ADJ
ajird-1499	22	11	agricultural	agricultural	ADJ
ajird-1499	22	12	crops	crop	NOUN
ajird-1499	22	13	as	as	ADV
ajird-1499	22	14	well	well	ADV
ajird-1499	22	15	.	.	PUNCT
ajird-1499	23	1	to	to	PART
ajird-1499	23	2	prove	prove	VERB
ajird-1499	23	3	that	that	SCONJ
ajird-1499	23	4	a	a	DET
ajird-1499	23	5	particular	particular	ADJ
ajird-1499	23	6	process	process	NOUN
ajird-1499	23	7	under	under	ADP
ajird-1499	23	8	study	study	NOUN
ajird-1499	23	9	is	be	AUX
ajird-1499	23	10	a	a	DET
ajird-1499	23	11	cyclical	cyclical	ADJ
ajird-1499	23	12	process	process	NOUN
ajird-1499	23	13	,	,	PUNCT
ajird-1499	23	14	it	it	PRON
ajird-1499	23	15	is	be	AUX
ajird-1499	23	16	necessary	necessary	ADJ
ajird-1499	23	17	to	to	PART
ajird-1499	23	18	analyze	analyze	VERB
ajird-1499	23	19	a	a	DET
ajird-1499	23	20	large	large	ADJ
ajird-1499	23	21	amount	amount	NOUN
ajird-1499	23	22	of	of	ADP
ajird-1499	23	23	statistical	statistical	ADJ
ajird-1499	23	24	data	datum	NOUN
ajird-1499	23	25	,	,	PUNCT
ajird-1499	23	26	check	check	VERB
ajird-1499	23	27	their	their	PRON
ajird-1499	23	28	synchrony	synchrony	NOUN
ajird-1499	23	29	,	,	PUNCT
ajird-1499	23	30	compare	compare	VERB
ajird-1499	23	31	the	the	DET
ajird-1499	23	32	graphs	graph	NOUN
ajird-1499	23	33	of	of	ADP
ajird-1499	23	34	these	these	DET
ajird-1499	23	35	phenomena	phenomenon	NOUN
ajird-1499	23	36	,	,	PUNCT
ajird-1499	23	37	and	and	CCONJ
ajird-1499	23	38	much	much	ADV
ajird-1499	23	39	more	more	ADJ
ajird-1499	23	40	.	.	PUNCT
ajird-1499	24	1	results	result	NOUN
ajird-1499	24	2	and	and	CCONJ
ajird-1499	24	3	discussion	discussion	VERB
ajird-1499	24	4	the	the	DET
ajird-1499	24	5	question	question	NOUN
ajird-1499	24	6	arises	arise	VERB
ajird-1499	24	7	:	:	PUNCT
ajird-1499	24	8	is	be	AUX
ajird-1499	24	9	it	it	PRON
ajird-1499	24	10	possible	possible	ADJ
ajird-1499	24	11	to	to	PART
ajird-1499	24	12	determine	determine	VERB
ajird-1499	24	13	if	if	SCONJ
ajird-1499	24	14	the	the	DET
ajird-1499	24	15	process	process	NOUN
ajird-1499	24	16	under	under	ADP
ajird-1499	24	17	study	study	NOUN
ajird-1499	24	18	is	be	AUX
ajird-1499	24	19	an	an	DET
ajird-1499	24	20	oscillatory	oscillatory	ADJ
ajird-1499	24	21	(	(	PUNCT
ajird-1499	24	22	harmonic	harmonic	ADJ
ajird-1499	24	23	)	)	PUNCT
ajird-1499	24	24	process	process	NOUN
ajird-1499	24	25	if	if	SCONJ
ajird-1499	24	26	the	the	DET
ajird-1499	24	27	observation	observation	NOUN
ajird-1499	24	28	results	result	NOUN
ajird-1499	24	29	are	be	AUX
ajird-1499	24	30	known	know	VERB
ajird-1499	24	31	at	at	ADP
ajird-1499	24	32	limited	limited	ADJ
ajird-1499	24	33	points	point	NOUN
ajird-1499	24	34	?	?	PUNCT
ajird-1499	25	1	for	for	ADP
ajird-1499	25	2	this	this	PRON
ajird-1499	25	3	,	,	PUNCT
ajird-1499	25	4	there	there	PRON
ajird-1499	25	5	is	be	VERB
ajird-1499	25	6	a	a	DET
ajird-1499	25	7	finite	finite	ADJ
ajird-1499	25	8	number	number	NOUN
ajird-1499	25	9	of	of	ADP
ajird-1499	25	10	points	point	NOUN
ajird-1499	25	11	хi	хi	NOUN
ajird-1499	25	12	and	and	CCONJ
ajird-1499	25	13	yi	yi	PROPN
ajird-1499	25	14	,	,	PUNCT
ajird-1499	25	15	where	where	SCONJ
ajird-1499	25	16	𝑖	𝑖	ADP
ajird-1499	25	17	=	=	SYM
ajird-1499	25	18	1	1	NUM
ajird-1499	25	19	,	,	PUNCT
ajird-1499	25	20	𝑁̅̅	𝑁̅̅	NOUN
ajird-1499	25	21	̅̅	̅̅	PROPN
ajird-1499	25	22	̅.	̅.	PROPN
ajird-1499	25	23	a	a	DET
ajird-1499	25	24	mathematical	mathematical	ADJ
ajird-1499	25	25	criterion	criterion	NOUN
ajird-1499	25	26	also	also	ADV
ajird-1499	25	27	needs	need	VERB
ajird-1499	25	28	to	to	PART
ajird-1499	25	29	be	be	AUX
ajird-1499	25	30	developed	develop	VERB
ajird-1499	25	31	,	,	PUNCT
ajird-1499	25	32	such	such	ADJ
ajird-1499	25	33	that	that	SCONJ
ajird-1499	25	34	when	when	SCONJ
ajird-1499	25	35	it	it	PRON
ajird-1499	25	36	is	be	AUX
ajird-1499	25	37	satisfied	satisfied	ADJ
ajird-1499	25	38	,	,	PUNCT
ajird-1499	25	39	the	the	DET
ajird-1499	25	40	function	function	NOUN
ajird-1499	25	41	𝑦𝑖	𝑦𝑖	PROPN
ajird-1499	25	42	=	=	PUNCT
ajird-1499	25	43	𝑓(𝑥𝑖	𝑓(𝑥𝑖	PROPN
ajird-1499	25	44	)	)	PUNCT
ajird-1499	25	45	will	will	AUX
ajird-1499	25	46	be	be	AUX
ajird-1499	25	47	exactly	exactly	ADV
ajird-1499	25	48	harmonic	harmonic	ADJ
ajird-1499	25	49	,	,	PUNCT
ajird-1499	25	50	and	and	CCONJ
ajird-1499	25	51	not	not	PART
ajird-1499	25	52	some	some	DET
ajird-1499	25	53	other	other	ADJ
ajird-1499	25	54	function	function	NOUN
ajird-1499	25	55	.	.	PUNCT
ajird-1499	26	1	let	let	VERB
ajird-1499	26	2	us	we	PRON
ajird-1499	26	3	assume	assume	VERB
ajird-1499	26	4	that	that	SCONJ
ajird-1499	26	5	we	we	PRON
ajird-1499	26	6	have	have	VERB
ajird-1499	26	7	a	a	DET
ajird-1499	26	8	function	function	NOUN
ajird-1499	26	9	𝑦	𝑦	NOUN
ajird-1499	26	10	=	=	SYM
ajird-1499	26	11	𝑓(𝑥	𝑓(𝑥	NOUN
ajird-1499	26	12	)	)	PUNCT
ajird-1499	26	13	and	and	CCONJ
ajird-1499	26	14	that	that	SCONJ
ajird-1499	26	15	this	this	DET
ajird-1499	26	16	function	function	NOUN
ajird-1499	26	17	is	be	AUX
ajird-1499	26	18	harmonic	harmonic	ADJ
ajird-1499	26	19	:	:	PUNCT
ajird-1499	26	20	:	:	PUNCT
ajird-1499	26	21	𝑦	𝑦	X
ajird-1499	26	22	=	=	SYM
ajird-1499	26	23	𝐴	𝐴	PROPN
ajird-1499	26	24	sin	sin	VERB
ajird-1499	26	25	2𝜋𝑥	2𝜋𝑥	ADJ
ajird-1499	26	26	𝑇	𝑇	PROPN
ajird-1499	26	27	+	+	CCONJ
ajird-1499	26	28	𝐵	𝐵	PROPN
ajird-1499	26	29	cos	cos	ADP
ajird-1499	26	30	2𝜋𝑥	2𝜋𝑥	PROPN
ajird-1499	26	31	𝑇	𝑇	PROPN
ajird-1499	26	32	to	to	PART
ajird-1499	26	33	determine	determine	VERB
ajird-1499	26	34	the	the	DET
ajird-1499	26	35	criterion	criterion	NOUN
ajird-1499	26	36	,	,	PUNCT
ajird-1499	26	37	we	we	PRON
ajird-1499	26	38	calculate	calculate	VERB
ajird-1499	26	39	the	the	DET
ajird-1499	26	40	derivatives	derivative	NOUN
ajird-1499	26	41	𝑑𝑦	𝑑𝑦	ADP
ajird-1499	26	42	𝑑𝑥	𝑑𝑥	NOUN
ajird-1499	26	43	and	and	CCONJ
ajird-1499	26	44	𝑑2𝑦	𝑑2𝑦	ADJ
ajird-1499	26	45	𝑑𝑥2	𝑑𝑥2	NOUN
ajird-1499	26	46	:	:	PUNCT
ajird-1499	26	47	𝑑𝑦	𝑑𝑦	ADP
ajird-1499	26	48	𝑑𝑥	𝑑𝑥	ADP
ajird-1499	26	49	=	=	NOUN
ajird-1499	26	50	𝐴	𝐴	PROPN
ajird-1499	26	51	2𝜋	2𝜋	NOUN
ajird-1499	26	52	т	т	X
ajird-1499	27	1	cos	cos	PROPN
ajird-1499	27	2	2𝜋𝑥	2𝜋𝑥	NOUN
ajird-1499	27	3	т	т	X
ajird-1499	28	1	−	−	PROPN
ajird-1499	28	2	b	b	PROPN
ajird-1499	28	3	2𝜋	2𝜋	PROPN
ajird-1499	28	4	т	т	NOUN
ajird-1499	28	5	𝑠𝑖𝑛	𝑠𝑖𝑛	ADJ
ajird-1499	28	6	2𝜋𝑥	2𝜋𝑥	PROPN
ajird-1499	28	7	т	т	PROPN
ajird-1499	28	8	and	and	CCONJ
ajird-1499	28	9	𝑑2𝑦	𝑑2𝑦	ADJ
ajird-1499	28	10	𝑑𝑥2	𝑑𝑥2	NOUN
ajird-1499	28	11	=	=	SYM
ajird-1499	28	12	−а	−а	NOUN
ajird-1499	28	13	(	(	PUNCT
ajird-1499	28	14	2𝜋	2𝜋	NOUN
ajird-1499	28	15	т	т	X
ajird-1499	28	16	)	)	PUNCT
ajird-1499	28	17	2	2	NUM
ajird-1499	28	18	𝑠𝑖𝑛	𝑠𝑖𝑛	NOUN
ajird-1499	28	19	2𝜋𝑥	2𝜋𝑥	NOUN
ajird-1499	28	20	т	т	X
ajird-1499	29	1	−	−	X
ajird-1499	29	2	в	в	PROPN
ajird-1499	29	3	(	(	PUNCT
ajird-1499	29	4	2𝜋	2𝜋	NOUN
ajird-1499	29	5	т	т	X
ajird-1499	29	6	)	)	PUNCT
ajird-1499	29	7	2	2	NUM
ajird-1499	29	8	cos	cos	PROPN
ajird-1499	29	9	2𝜋𝑥	2𝜋𝑥	ADJ
ajird-1499	29	10	т	т	PROPN
ajird-1499	29	11	.	.	PUNCT
ajird-1499	30	1	taking	take	VERB
ajird-1499	30	2	into	into	ADP
ajird-1499	30	3	account	account	NOUN
ajird-1499	30	4	that	that	SCONJ
ajird-1499	30	5	у=𝐴	у=𝐴	VERB
ajird-1499	30	6	sin	sin	NOUN
ajird-1499	30	7	2𝜋𝑥	2𝜋𝑥	ADJ
ajird-1499	30	8	т	т	PUNCT
ajird-1499	31	1	+	+	NOUN
ajird-1499	31	2	b𝑐𝑜𝑠	b𝑐𝑜𝑠	PROPN
ajird-1499	31	3	2𝜋𝑥	2𝜋𝑥	PROPN
ajird-1499	31	4	т	т	PROPN
ajird-1499	31	5	,	,	PUNCT
ajird-1499	31	6	we	we	PRON
ajird-1499	31	7	have	have	AUX
ajird-1499	31	8	𝑑2𝑦	𝑑2𝑦	NOUN
ajird-1499	31	9	𝑑𝑥2	𝑑𝑥2	NOUN
ajird-1499	31	10	=	=	SYM
ajird-1499	31	11	−	−	PROPN
ajird-1499	31	12	(	(	PUNCT
ajird-1499	31	13	2𝜋	2𝜋	NOUN
ajird-1499	31	14	т	т	X
ajird-1499	31	15	)	)	PUNCT
ajird-1499	31	16	2	2	NUM
ajird-1499	31	17	(	(	PUNCT
ajird-1499	31	18	а𝑠𝑖𝑛	а𝑠𝑖𝑛	NOUN
ajird-1499	31	19	2𝜋𝑥	2𝜋𝑥	NOUN
ajird-1499	31	20	т	т	PROPN
ajird-1499	32	1	+	+	CCONJ
ajird-1499	32	2	в	в	PROPN
ajird-1499	32	3	cos	cos	PROPN
ajird-1499	32	4	2𝜋𝑥	2𝜋𝑥	PROPN
ajird-1499	32	5	т	т	X
ajird-1499	32	6	)	)	PUNCT
ajird-1499	32	7	or	or	CCONJ
ajird-1499	32	8	𝑑2𝑦	𝑑2𝑦	PUNCT
ajird-1499	32	9	𝑑𝑡2	𝑑𝑡2	NOUN
ajird-1499	32	10	=	=	SYM
ajird-1499	32	11	−	−	PROPN
ajird-1499	33	1	(	(	PUNCT
ajird-1499	33	2	2𝜋	2𝜋	NOUN
ajird-1499	33	3	т	т	X
ajird-1499	33	4	)	)	PUNCT
ajird-1499	33	5	2	2	NUM
ajird-1499	33	6	у	у	NOUN
ajird-1499	33	7	.	.	PUNCT
ajird-1499	34	1	in	in	ADP
ajird-1499	34	2	other	other	ADJ
ajird-1499	34	3	words	word	NOUN
ajird-1499	34	4	,	,	PUNCT
ajird-1499	34	5	𝑑2𝑦	𝑑2𝑦	PUNCT
ajird-1499	34	6	𝑑𝑥2	𝑑𝑥2	NOUN
ajird-1499	34	7	=	=	SYM
ajird-1499	34	8	𝑦′′	𝑦′′	PROPN
ajird-1499	34	9	=	=	PUNCT
ajird-1499	34	10	−𝜔2y	−𝜔2y	PROPN
ajird-1499	34	11	,	,	PUNCT
ajird-1499	34	12	where	where	SCONJ
ajird-1499	34	13	𝜔	𝜔	ADP
ajird-1499	34	14	=	=	NOUN
ajird-1499	34	15	2𝜋	2𝜋	NUM
ajird-1499	34	16	т	т	X
ajird-1499	34	17	.	.	PUNCT
ajird-1499	35	1	here	here	ADV
ajird-1499	35	2	,	,	PUNCT
ajird-1499	35	3	t	t	PROPN
ajird-1499	35	4	is	be	AUX
ajird-1499	35	5	the	the	DET
ajird-1499	35	6	period	period	NOUN
ajird-1499	35	7	of	of	ADP
ajird-1499	35	8	oscillation	oscillation	NOUN
ajird-1499	35	9	,	,	PUNCT
ajird-1499	35	10	and	and	CCONJ
ajird-1499	35	11	1	1	NUM
ajird-1499	35	12	т	т	NOUN
ajird-1499	35	13	is	be	AUX
ajird-1499	35	14	the	the	DET
ajird-1499	35	15	frequency	frequency	NOUN
ajird-1499	35	16	of	of	ADP
ajird-1499	35	17	the	the	DET
ajird-1499	35	18	oscillatory	oscillatory	ADJ
ajird-1499	35	19	process	process	NOUN
ajird-1499	35	20	under	under	ADP
ajird-1499	35	21	consideration	consideration	NOUN
ajird-1499	35	22	.	.	PUNCT
ajird-1499	36	1	from	from	ADP
ajird-1499	36	2	this	this	PRON
ajird-1499	36	3	,	,	PUNCT
ajird-1499	36	4	it	it	PRON
ajird-1499	36	5	follows	follow	VERB
ajird-1499	36	6	that	that	SCONJ
ajird-1499	36	7	:	:	PUNCT
ajird-1499	36	8	у′′	у′′	PROPN
ajird-1499	36	9	𝑦	𝑦	NOUN
ajird-1499	36	10	=	=	PUNCT
ajird-1499	36	11	−𝜔2	−𝜔2	NOUN
ajird-1499	36	12	=	=	SYM
ajird-1499	36	13	𝑐𝑜𝑛𝑠𝑡.	𝑐𝑜𝑛𝑠𝑡.	NOUN
ajird-1499	36	14	(	(	PUNCT
ajird-1499	36	15	1	1	X
ajird-1499	36	16	)	)	PUNCT
ajird-1499	36	17	condition	condition	NOUN
ajird-1499	36	18	(	(	PUNCT
ajird-1499	36	19	1	1	X
ajird-1499	36	20	)	)	PUNCT
ajird-1499	36	21	is	be	AUX
ajird-1499	36	22	the	the	DET
ajird-1499	36	23	criterion	criterion	NOUN
ajird-1499	36	24	for	for	ADP
ajird-1499	36	25	the	the	DET
ajird-1499	36	26	harmonicity	harmonicity	NOUN
ajird-1499	36	27	of	of	ADP
ajird-1499	36	28	the	the	DET
ajird-1499	36	29	process	process	NOUN
ajird-1499	36	30	𝑦	𝑦	NOUN
ajird-1499	36	31	=	=	SYM
ajird-1499	36	32	𝑓(𝑥	𝑓(𝑥	NOUN
ajird-1499	36	33	)	)	PUNCT
ajird-1499	36	34	.	.	PUNCT
ajird-1499	37	1	american	american	PROPN
ajird-1499	37	2	journal	journal	PROPN
ajird-1499	37	3	of	of	ADP
ajird-1499	37	4	interdisciplinary	interdisciplinary	ADJ
ajird-1499	37	5	research	research	NOUN
ajird-1499	37	6	and	and	CCONJ
ajird-1499	37	7	development	development	NOUN
ajird-1499	37	8	issn	issn	PROPN
ajird-1499	37	9	online	online	NOUN
ajird-1499	37	10	:	:	PUNCT
ajird-1499	37	11	2771	2771	NUM
ajird-1499	37	12	-	-	SYM
ajird-1499	37	13	8948	8948	NUM
ajird-1499	37	14	website	website	NOUN
ajird-1499	37	15	:	:	PUNCT
ajird-1499	37	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	37	17	volume	volume	NOUN
ajird-1499	37	18	38	38	NUM
ajird-1499	37	19	,	,	PUNCT
ajird-1499	37	20	march	march	PROPN
ajird-1499	37	21	2025	2025	NUM
ajird-1499	37	22	69	69	NUM
ajird-1499	38	1	|	|	ADV
ajird-1499	38	2	p	p	NOUN
ajird-1499	38	3	a	a	DET
ajird-1499	38	4	g	g	NOUN
ajird-1499	38	5	e	e	NOUN
ajird-1499	38	6	thus	thus	ADV
ajird-1499	38	7	,	,	PUNCT
ajird-1499	38	8	if	if	SCONJ
ajird-1499	38	9	for	for	ADP
ajird-1499	38	10	the	the	DET
ajird-1499	38	11	process	process	NOUN
ajird-1499	38	12	𝑦	𝑦	NOUN
ajird-1499	38	13	=	=	SYM
ajird-1499	38	14	𝑓(𝑥	𝑓(𝑥	NOUN
ajird-1499	38	15	)	)	PUNCT
ajird-1499	38	16	,	,	PUNCT
ajird-1499	38	17	the	the	DET
ajird-1499	38	18	ratio	ratio	NOUN
ajird-1499	38	19	у′′	у′′	PROPN
ajird-1499	38	20	𝑦	𝑦	PROPN
ajird-1499	38	21	remains	remain	VERB
ajird-1499	38	22	a	a	DET
ajird-1499	38	23	constant	constant	ADJ
ajird-1499	38	24	,	,	PUNCT
ajird-1499	38	25	then	then	ADV
ajird-1499	38	26	this	this	DET
ajird-1499	38	27	process	process	NOUN
ajird-1499	38	28	is	be	AUX
ajird-1499	38	29	a	a	DET
ajird-1499	38	30	harmonic	harmonic	ADJ
ajird-1499	38	31	process	process	NOUN
ajird-1499	38	32	.	.	PUNCT
ajird-1499	39	1	since	since	SCONJ
ajird-1499	39	2	we	we	PRON
ajird-1499	39	3	do	do	AUX
ajird-1499	39	4	not	not	PART
ajird-1499	39	5	have	have	VERB
ajird-1499	39	6	the	the	DET
ajird-1499	39	7	specific	specific	ADJ
ajird-1499	39	8	function	function	NOUN
ajird-1499	39	9	of	of	ADP
ajird-1499	39	10	the	the	DET
ajird-1499	39	11	process	process	NOUN
ajird-1499	39	12	𝑦𝑖	𝑦𝑖	PROPN
ajird-1499	39	13	=	=	PUNCT
ajird-1499	39	14	𝑓(𝑥𝑖	𝑓(𝑥𝑖	PROPN
ajird-1499	39	15	)	)	PUNCT
ajird-1499	39	16	,	,	PUNCT
ajird-1499	39	17	but	but	CCONJ
ajird-1499	39	18	only	only	ADV
ajird-1499	39	19	the	the	DET
ajird-1499	39	20	observation	observation	NOUN
ajird-1499	39	21	results	result	NOUN
ajird-1499	39	22	at	at	ADP
ajird-1499	39	23	certain	certain	ADJ
ajird-1499	39	24	points	point	NOUN
ajird-1499	39	25	хi	хi	NOUN
ajird-1499	39	26	and	and	CCONJ
ajird-1499	39	27	yi	yi	PROPN
ajird-1499	39	28	,	,	PUNCT
ajird-1499	39	29	where	where	SCONJ
ajird-1499	39	30	𝑖	𝑖	ADP
ajird-1499	39	31	=	=	SYM
ajird-1499	39	32	1	1	NUM
ajird-1499	39	33	,	,	PUNCT
ajird-1499	39	34	𝑁̅̅	𝑁̅̅	NOUN
ajird-1499	39	35	̅̅	̅̅	NOUN
ajird-1499	39	36	̅	̅	NOUN
ajird-1499	39	37	,	,	PUNCT
ajird-1499	39	38	we	we	PRON
ajird-1499	39	39	will	will	AUX
ajird-1499	39	40	try	try	VERB
ajird-1499	39	41	to	to	PART
ajird-1499	39	42	replace	replace	VERB
ajird-1499	39	43	𝑑𝑦	𝑑𝑦	ADP
ajird-1499	39	44	𝑑𝑥	𝑑𝑥	ADP
ajird-1499	39	45	и	и	PROPN
ajird-1499	39	46	𝑑2𝑦	𝑑2𝑦	PUNCT
ajird-1499	39	47	𝑑𝑥2	𝑑𝑥2	VERB
ajird-1499	39	48	with	with	ADP
ajird-1499	39	49	finite	finite	ADJ
ajird-1499	39	50	differences	difference	NOUN
ajird-1499	39	51	,	,	PUNCT
ajird-1499	39	52	which	which	PRON
ajird-1499	39	53	can	can	AUX
ajird-1499	39	54	be	be	AUX
ajird-1499	39	55	expressed	express	VERB
ajird-1499	39	56	in	in	ADP
ajird-1499	39	57	terms	term	NOUN
ajird-1499	39	58	of	of	ADP
ajird-1499	39	59	хi	хi	NOUN
ajird-1499	39	60	and	and	CCONJ
ajird-1499	39	61	yi	yi	PROPN
ajird-1499	39	62	,	,	PUNCT
ajird-1499	39	63	where	where	SCONJ
ajird-1499	39	64	𝑖	𝑖	ADP
ajird-1499	39	65	=	=	SYM
ajird-1499	39	66	1	1	NUM
ajird-1499	39	67	,	,	PUNCT
ajird-1499	39	68	𝑁̅̅	𝑁̅̅	NOUN
ajird-1499	39	69	̅̅	̅̅	PROPN
ajird-1499	39	70	̅.	̅.	PROPN
ajird-1499	39	71	if	if	SCONJ
ajird-1499	39	72	𝑦	𝑦	NOUN
ajird-1499	39	73	=	=	SYM
ajird-1499	39	74	𝑓(𝑥	𝑓(𝑥	NOUN
ajird-1499	39	75	)	)	PUNCT
ajird-1499	39	76	is	be	AUX
ajird-1499	39	77	a	a	DET
ajird-1499	39	78	continuous	continuous	ADJ
ajird-1499	39	79	function	function	NOUN
ajird-1499	39	80	and	and	CCONJ
ajird-1499	39	81	has	have	VERB
ajird-1499	39	82	continuous	continuous	ADJ
ajird-1499	39	83	first	first	ADJ
ajird-1499	39	84	and	and	CCONJ
ajird-1499	39	85	second	second	ADJ
ajird-1499	39	86	derivatives	derivative	NOUN
ajird-1499	39	87	,	,	PUNCT
ajird-1499	39	88	then	then	ADV
ajird-1499	39	89	from	from	ADP
ajird-1499	39	90	the	the	DET
ajird-1499	39	91	definition	definition	NOUN
ajird-1499	39	92	of	of	ADP
ajird-1499	39	93	the	the	DET
ajird-1499	39	94	derivative	derivative	ADJ
ajird-1499	39	95	𝑦′	𝑦′	VERB
ajird-1499	39	96	=	=	SYM
ajird-1499	39	97	𝑓′(𝑥0	𝑓′(𝑥0	PROPN
ajird-1499	39	98	)	)	PUNCT
ajird-1499	39	99	lim	lim	PROPN
ajird-1499	39	100	∆х→0	∆х→0	PROPN
ajird-1499	39	101	𝑦(𝑥0	𝑦(𝑥0	PROPN
ajird-1499	39	102	+	+	CCONJ
ajird-1499	39	103	∆𝑥	∆𝑥	NOUN
ajird-1499	39	104	)	)	PUNCT
ajird-1499	39	105	−	−	ADP
ajird-1499	39	106	𝑦(𝑥0	𝑦(𝑥0	ADJ
ajird-1499	39	107	)	)	PUNCT
ajird-1499	39	108	∆х	∆х	PROPN
ajird-1499	39	109	=	=	SYM
ajird-1499	39	110	lim	lim	PROPN
ajird-1499	39	111	∆х→0	∆х→0	PROPN
ajird-1499	39	112	∆𝑦	∆𝑦	PROPN
ajird-1499	39	113	∆х	∆х	PROPN
ajird-1499	39	114	=	=	SYM
ajird-1499	39	115	𝑓′(𝑥0	𝑓′(𝑥0	PROPN
ajird-1499	39	116	)	)	PUNCT
ajird-1499	39	117	=	=	SYM
ajird-1499	40	1	𝑦′	𝑦′	NOUN
ajird-1499	40	2	we	we	PRON
ajird-1499	40	3	have	have	VERB
ajird-1499	40	4	:	:	PUNCT
ajird-1499	40	5	𝑦(𝑥0+∆𝑥)−𝑦(𝑥0	𝑦(𝑥0+∆𝑥)−𝑦(𝑥0	ADJ
ajird-1499	40	6	)	)	PUNCT
ajird-1499	40	7	∆𝑥	∆𝑥	PROPN
ajird-1499	40	8	≈	≈	PROPN
ajird-1499	40	9	𝑓′(𝑥0	𝑓′(𝑥0	PROPN
ajird-1499	40	10	)	)	PUNCT
ajird-1499	40	11	=	=	SYM
ajird-1499	40	12	𝑦′	𝑦′	NOUN
ajird-1499	40	13	or	or	CCONJ
ajird-1499	40	14	∆у	∆у	PROPN
ajird-1499	40	15	∆𝑥	∆𝑥	PROPN
ajird-1499	40	16	≈	≈	PROPN
ajird-1499	40	17	𝑓′(𝑥0	𝑓′(𝑥0	PROPN
ajird-1499	40	18	)	)	PUNCT
ajird-1499	40	19	=	=	PUNCT
ajird-1499	40	20	𝑦′	𝑦′	NOUN
ajird-1499	40	21	;	;	PUNCT
ajird-1499	40	22	by	by	ADP
ajird-1499	40	23	the	the	DET
ajird-1499	40	24	definition	definition	NOUN
ajird-1499	40	25	of	of	ADP
ajird-1499	40	26	the	the	DET
ajird-1499	40	27	second	second	ADJ
ajird-1499	40	28	derivative	derivative	NOUN
ajird-1499	41	1	𝑦′′	𝑦′′	NOUN
ajird-1499	41	2	=	=	SYM
ajird-1499	41	3	𝑓′′(𝑥0	𝑓′′(𝑥0	ADJ
ajird-1499	41	4	)	)	PUNCT
ajird-1499	41	5	lim	lim	PROPN
ajird-1499	41	6	∆х→0	∆х→0	PROPN
ajird-1499	42	1	𝑦′(𝑥0	𝑦′(𝑥0	PROPN
ajird-1499	42	2	+	+	CCONJ
ajird-1499	42	3	∆𝑥	∆𝑥	NOUN
ajird-1499	42	4	)	)	PUNCT
ajird-1499	43	1	−	−	PROPN
ajird-1499	43	2	𝑦′(𝑥0	𝑦′(𝑥0	ADJ
ajird-1499	43	3	)	)	PUNCT
ajird-1499	43	4	∆𝑥	∆𝑥	PROPN
ajird-1499	43	5	=	=	SYM
ajird-1499	43	6	lim	lim	PROPN
ajird-1499	43	7	∆х→0	∆х→0	PROPN
ajird-1499	43	8	∆2𝑦	∆2𝑦	VERB
ajird-1499	43	9	∆𝑥2	∆𝑥2	NOUN
ajird-1499	43	10	=	=	SYM
ajird-1499	43	11	𝑓′′(𝑥0	𝑓′′(𝑥0	PROPN
ajird-1499	43	12	)	)	PUNCT
ajird-1499	43	13	=	=	VERB
ajird-1499	44	1	𝑦′′	𝑦′′	ADV
ajird-1499	44	2	we	we	PRON
ajird-1499	44	3	have	have	VERB
ajird-1499	44	4	:	:	PUNCT
ajird-1499	44	5	∆2𝑦	∆2𝑦	VERB
ajird-1499	44	6	∆𝑥2	∆𝑥2	PROPN
ajird-1499	45	1	≈	≈	PROPN
ajird-1499	45	2	𝑓′′(𝑥0	𝑓′′(𝑥0	PROPN
ajird-1499	45	3	)	)	PUNCT
ajird-1499	46	1	=	=	SYM
ajird-1499	46	2	𝑦′′.	𝑦′′.	PROPN
ajird-1499	46	3	therefore	therefore	ADV
ajird-1499	46	4	,	,	PUNCT
ajird-1499	46	5	the	the	DET
ajird-1499	46	6	derivatives	derivative	NOUN
ajird-1499	46	7	can	can	AUX
ajird-1499	46	8	be	be	AUX
ajird-1499	46	9	approximately	approximately	ADV
ajird-1499	46	10	replaced	replace	VERB
ajird-1499	46	11	by	by	ADP
ajird-1499	46	12	finite	finite	ADJ
ajird-1499	46	13	differences	difference	NOUN
ajird-1499	46	14	:	:	PUNCT
ajird-1499	46	15	𝑦′	𝑦′	X
ajird-1499	46	16	=	=	SYM
ajird-1499	46	17	𝑑𝑦	𝑑𝑦	X
ajird-1499	46	18	𝑑𝑥	𝑑𝑥	PROPN
ajird-1499	46	19	≈	≈	PROPN
ajird-1499	46	20	∆𝑦	∆𝑦	PROPN
ajird-1499	46	21	∆𝑥	∆𝑥	PROPN
ajird-1499	46	22	,	,	PUNCT
ajird-1499	47	1	𝑦′′	𝑦′′	ADV
ajird-1499	47	2	=	=	PRON
ajird-1499	47	3	𝑑2𝑦	𝑑2𝑦	ADJ
ajird-1499	47	4	𝑑𝑥2	𝑑𝑥2	VERB
ajird-1499	47	5	≈	≈	PROPN
ajird-1499	47	6	∆2𝑦	∆2𝑦	VERB
ajird-1499	47	7	∆𝑥2	∆𝑥2	NOUN
ajird-1499	47	8	.	.	PUNCT
ajird-1499	48	1	based	base	VERB
ajird-1499	48	2	on	on	ADP
ajird-1499	48	3	this	this	PRON
ajird-1499	48	4	,	,	PUNCT
ajird-1499	48	5	our	our	PRON
ajird-1499	48	6	criterion	criterion	NOUN
ajird-1499	48	7	for	for	ADP
ajird-1499	48	8	the	the	DET
ajird-1499	48	9	cyclicity	cyclicity	NOUN
ajird-1499	48	10	of	of	ADP
ajird-1499	48	11	the	the	DET
ajird-1499	48	12	function	function	NOUN
ajird-1499	48	13	takes	take	VERB
ajird-1499	48	14	the	the	DET
ajird-1499	48	15	following	follow	VERB
ajird-1499	48	16	form	form	NOUN
ajird-1499	48	17	:	:	PUNCT
ajird-1499	48	18	if	if	SCONJ
ajird-1499	48	19	the	the	DET
ajird-1499	48	20	results	result	NOUN
ajird-1499	48	21	of	of	ADP
ajird-1499	48	22	the	the	DET
ajird-1499	48	23	experiment	experiment	NOUN
ajird-1499	48	24	хi	хi	NOUN
ajird-1499	48	25	and	and	CCONJ
ajird-1499	48	26	yi	yi	PROPN
ajird-1499	48	27	,	,	PUNCT
ajird-1499	48	28	are	be	AUX
ajird-1499	48	29	known	know	VERB
ajird-1499	48	30	,	,	PUNCT
ajird-1499	48	31	then	then	ADV
ajird-1499	48	32	a	a	DET
ajird-1499	48	33	necessary	necessary	ADJ
ajird-1499	48	34	condition	condition	NOUN
ajird-1499	48	35	for	for	ADP
ajird-1499	48	36	the	the	DET
ajird-1499	48	37	cyclicity	cyclicity	NOUN
ajird-1499	48	38	of	of	ADP
ajird-1499	48	39	the	the	DET
ajird-1499	48	40	process	process	NOUN
ajird-1499	48	41	is	be	AUX
ajird-1499	48	42	the	the	DET
ajird-1499	48	43	fulfillment	fulfillment	NOUN
ajird-1499	48	44	of	of	ADP
ajird-1499	48	45	the	the	DET
ajird-1499	48	46	condition	condition	NOUN
ajird-1499	48	47	:	:	PUNCT
ajird-1499	48	48	∆2𝑦	∆2𝑦	X
ajird-1499	48	49	∆𝑥2	∆𝑥2	NOUN
ajird-1499	48	50	/у	/у	PUNCT
ajird-1499	49	1	=	=	PUNCT
ajird-1499	49	2	const	const	PROPN
ajird-1499	49	3	.	.	PUNCT
ajird-1499	50	1	the	the	DET
ajird-1499	50	2	theory	theory	NOUN
ajird-1499	50	3	outlined	outline	VERB
ajird-1499	50	4	above	above	ADV
ajird-1499	50	5	can	can	AUX
ajird-1499	50	6	be	be	AUX
ajird-1499	50	7	examined	examine	VERB
ajird-1499	50	8	using	use	VERB
ajird-1499	50	9	the	the	DET
ajird-1499	50	10	following	follow	VERB
ajird-1499	50	11	specific	specific	ADJ
ajird-1499	50	12	example	example	NOUN
ajird-1499	50	13	.	.	PUNCT
ajird-1499	51	1	in	in	ADP
ajird-1499	51	2	this	this	DET
ajird-1499	51	3	case	case	NOUN
ajird-1499	51	4	,	,	PUNCT
ajird-1499	51	5	the	the	DET
ajird-1499	51	6	condition	condition	NOUN
ajird-1499	51	7	∆2𝑦	∆2𝑦	VERB
ajird-1499	51	8	∆𝑥2	∆𝑥2	NOUN
ajird-1499	51	9	/у	/у	PUNCT
ajird-1499	52	1	=	=	PRON
ajird-1499	52	2	const	const	NOUN
ajird-1499	52	3	plays	play	VERB
ajird-1499	52	4	an	an	DET
ajird-1499	52	5	important	important	ADJ
ajird-1499	52	6	role	role	NOUN
ajird-1499	52	7	in	in	ADP
ajird-1499	52	8	the	the	DET
ajird-1499	52	9	correct	correct	ADJ
ajird-1499	52	10	selection	selection	NOUN
ajird-1499	52	11	of	of	ADP
ajird-1499	52	12	the	the	DET
ajird-1499	52	13	function	function	NOUN
ajird-1499	52	14	𝑦	𝑦	NOUN
ajird-1499	52	15	=	=	SYM
ajird-1499	52	16	𝑓(𝑥	𝑓(𝑥	NOUN
ajird-1499	52	17	)	)	PUNCT
ajird-1499	52	18	.	.	PUNCT
ajird-1499	53	1	table	table	NOUN
ajird-1499	53	2	№	№	ADP
ajird-1499	53	3	1	1	NUM
ajird-1499	53	4	.	.	PUNCT
ajird-1499	54	1	the	the	DET
ajird-1499	54	2	coincidence	coincidence	NOUN
ajird-1499	54	3	of	of	ADP
ajird-1499	54	4	the	the	DET
ajird-1499	54	5	values	value	NOUN
ajird-1499	54	6	of	of	ADP
ajird-1499	54	7	the	the	DET
ajird-1499	54	8	harmonic	harmonic	ADJ
ajird-1499	54	9	function	function	NOUN
ajird-1499	54	10	y1	y1	NOUN
ajird-1499	54	11	and	and	CCONJ
ajird-1499	54	12	the	the	DET
ajird-1499	54	13	straight	straight	ADJ
ajird-1499	54	14	line	line	NOUN
ajird-1499	54	15	y2	y2	PROPN
ajird-1499	54	16	within	within	ADP
ajird-1499	54	17	specific	specific	ADJ
ajird-1499	54	18	intervals	interval	NOUN
ajird-1499	54	19	of	of	ADP
ajird-1499	54	20	the	the	DET
ajird-1499	54	21	values	value	NOUN
ajird-1499	54	22	of	of	ADP
ajird-1499	54	23	«	«	PUNCT
ajird-1499	54	24	х	х	X
ajird-1499	54	25	»	»	X
ajird-1499	54	26	х	х	PROPN
ajird-1499	54	27	у1	у1	PROPN
ajird-1499	54	28	=	=	PROPN
ajird-1499	54	29	3sin(2	3sin(2	NUM
ajird-1499	54	30	*	*	SYM
ajird-1499	54	31	3,14*х/5	3,14*х/5	NOUN
ajird-1499	54	32	)	)	PUNCT
ajird-1499	54	33	у2	у2	NOUN
ajird-1499	54	34	=	=	NOUN
ajird-1499	54	35	2,8591x	2,8591x	NOUN
ajird-1499	55	1	+	+	CCONJ
ajird-1499	55	2	0,2151	0,2151	NUM
ajird-1499	55	3	у1у2	у1у2	NOUN
ajird-1499	55	4	0,035	0,035	NUM
ajird-1499	55	5	0,131837528	0,131837528	NOUN
ajird-1499	55	6	0,3151685	0,3151685	NUM
ajird-1499	55	7	0,183331	0,183331	NOUN
ajird-1499	55	8	0,07	0,07	PRON
ajird-1499	55	9	0,263420324	0,263420324	NUM
ajird-1499	55	10	0,415237	0,415237	ADJ
ajird-1499	55	11	0,151817	0,151817	NOUN
ajird-1499	55	12	0,105	0,105	NUM
ajird-1499	55	13	0,394494146	0,394494146	PRON
ajird-1499	55	14	0,5153055	0,5153055	PROPN
ajird-1499	55	15	0,120811	0,120811	X
ajird-1499	55	16	0,14	0,14	NUM
ajird-1499	55	17	0,524805739	0,524805739	NUM
ajird-1499	55	18	0,615374	0,615374	VERB
ajird-1499	55	19	0,090568	0,090568	NUM
ajird-1499	55	20	0,175	0,175	NUM
ajird-1499	55	21	0,654103318	0,654103318	ADP
ajird-1499	55	22	0,7154425	0,7154425	NOUN
ajird-1499	55	23	0,061339	0,061339	X
ajird-1499	55	24	0,21	0,21	NUM
ajird-1499	55	25	0,782137057	0,782137057	NUM
ajird-1499	55	26	0,815511	0,815511	NUM
ajird-1499	55	27	0,033374	0,033374	NOUN
ajird-1499	55	28	american	american	ADJ
ajird-1499	55	29	journal	journal	PROPN
ajird-1499	55	30	of	of	ADP
ajird-1499	55	31	interdisciplinary	interdisciplinary	ADJ
ajird-1499	55	32	research	research	NOUN
ajird-1499	55	33	and	and	CCONJ
ajird-1499	55	34	development	development	NOUN
ajird-1499	55	35	issn	issn	PROPN
ajird-1499	55	36	online	online	NOUN
ajird-1499	55	37	:	:	PUNCT
ajird-1499	55	38	2771	2771	NUM
ajird-1499	55	39	-	-	SYM
ajird-1499	55	40	8948	8948	NUM
ajird-1499	55	41	website	website	NOUN
ajird-1499	55	42	:	:	PUNCT
ajird-1499	55	43	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	55	44	volume	volume	NOUN
ajird-1499	55	45	38	38	NUM
ajird-1499	55	46	,	,	PUNCT
ajird-1499	55	47	march	march	PROPN
ajird-1499	55	48	2025	2025	NUM
ajird-1499	55	49	70	70	NUM
ajird-1499	56	1	|	|	ADV
ajird-1499	56	2	p	p	NOUN
ajird-1499	56	3	a	a	DET
ajird-1499	56	4	g	g	NOUN
ajird-1499	56	5	e	e	NOUN
ajird-1499	56	6	0,245	0,245	NUM
ajird-1499	56	7	0,908659575	0,908659575	NUM
ajird-1499	56	8	0,9155795	0,9155795	NUM
ajird-1499	56	9	0,00692	0,00692	NUM
ajird-1499	56	10	0,28	0,28	NUM
ajird-1499	57	1	1,033426407	1,033426407	NUM
ajird-1499	57	2	1,015648	1,015648	PROPN
ajird-1499	57	3	-0,01778	-0,01778	PROPN
ajird-1499	57	4	0,315	0,315	NUM
ajird-1499	57	5	1,156196483	1,156196483	PROPN
ajird-1499	57	6	1,1157165	1,1157165	PROPN
ajird-1499	57	7	-0,04048	-0,04048	PROPN
ajird-1499	58	1	0,35	0,35	PROPN
ajird-1499	58	2	1,276732591	1,276732591	NUM
ajird-1499	58	3	1,215785	1,215785	NUM
ajird-1499	58	4	-0,06095	-0,06095	NOUN
ajird-1499	59	1	0,385	0,385	NUM
ajird-1499	59	2	1,394801834	1,394801834	NUM
ajird-1499	59	3	1,3158535	1,3158535	NOUN
ajird-1499	59	4	-0,07895	-0,07895	PROPN
ajird-1499	59	5	0,42	0,42	NOUN
ajird-1499	59	6	1,510176082	1,510176082	NUM
ajird-1499	59	7	1,415922	1,415922	NUM
ajird-1499	59	8	-0,09425	-0,09425	PROPN
ajird-1499	59	9	0,455	0,455	NUM
ajird-1499	59	10	1,622632412	1,622632412	NUM
ajird-1499	59	11	1,5159905	1,5159905	ADJ
ajird-1499	59	12	-0,10664	-0,10664	PROPN
ajird-1499	59	13	0,49	0,49	NUM
ajird-1499	59	14	1,73195354	1,73195354	NUM
ajird-1499	59	15	1,616059	1,616059	NUM
ajird-1499	59	16	-0,11589	-0,11589	PROPN
ajird-1499	59	17	0,525	0,525	NUM
ajird-1499	59	18	1,837928239	1,837928239	NUM
ajird-1499	59	19	1,7161275	1,7161275	NUM
ajird-1499	59	20	-0,1218	-0,1218	PROPN
ajird-1499	59	21	0,56	0,56	PROPN
ajird-1499	60	1	1,940351747	1,940351747	NUM
ajird-1499	61	1	1,816196	1,816196	NOUN
ajird-1499	62	1	-0,12416	-0,12416	INTJ
ajird-1499	62	2	0,595	0,595	NUM
ajird-1499	62	3	2,039026165	2,039026165	NUM
ajird-1499	62	4	1,9162645	1,9162645	NUM
ajird-1499	62	5	-0,12276	-0,12276	PROPN
ajird-1499	62	6	0,63	0,63	PUNCT
ajird-1499	63	1	2,133760837	2,133760837	PROPN
ajird-1499	63	2	2,016333	2,016333	NUM
ajird-1499	63	3	-0,11743	-0,11743	PROPN
ajird-1499	63	4	0,665	0,665	NUM
ajird-1499	63	5	2,224372719	2,224372719	NUM
ajird-1499	63	6	2,1164015	2,1164015	PROPN
ajird-1499	63	7	-0,10797	-0,10797	PROPN
ajird-1499	63	8	0,7	0,7	NUM
ajird-1499	63	9	2,310686734	2,310686734	NUM
ajird-1499	63	10	2,21647	2,21647	NUM
ajird-1499	63	11	-0,09422	-0,09422	NUM
ajird-1499	63	12	0,735	0,735	NUM
ajird-1499	64	1	2,392536109	2,392536109	NUM
ajird-1499	64	2	2,3165385	2,3165385	PROPN
ajird-1499	64	3	-0,076	-0,076	PROPN
ajird-1499	64	4	0,77	0,77	NOUN
ajird-1499	65	1	2,469762696	2,469762696	NUM
ajird-1499	65	2	2,416607	2,416607	PROPN
ajird-1499	65	3	-0,05316	-0,05316	PROPN
ajird-1499	65	4	0,805	0,805	NUM
ajird-1499	66	1	2,542217281	2,542217281	NUM
ajird-1499	66	2	2,5166755	2,5166755	NUM
ajird-1499	66	3	-0,02554	-0,02554	ADP
ajird-1499	66	4	0,84	0,84	ADJ
ajird-1499	66	5	2,609759868	2,609759868	ADJ
ajird-1499	66	6	2,616744	2,616744	NUM
ajird-1499	66	7	0,006984	0,006984	PROPN
ajird-1499	66	8	0,875	0,875	NUM
ajird-1499	66	9	2,672259955	2,672259955	NUM
ajird-1499	66	10	2,7168125	2,7168125	NUM
ajird-1499	66	11	0,044553	0,044553	NOUN
ajird-1499	66	12	0,91	0,91	NOUN
ajird-1499	67	1	2,729596781	2,729596781	NUM
ajird-1499	67	2	2,816881	2,816881	NUM
ajird-1499	67	3	0,087284	0,087284	NOUN
ajird-1499	67	4	0,945	0,945	NUM
ajird-1499	67	5	2,78165956	2,78165956	NUM
ajird-1499	67	6	2,9169495	2,9169495	NUM
ajird-1499	67	7	0,13529	0,13529	NOUN
ajird-1499	67	8	0,98	0,98	PUNCT
ajird-1499	68	1	2,828347698	2,828347698	ADJ
ajird-1499	68	2	3,017018	3,017018	NUM
ajird-1499	68	3	0,18867	0,18867	NOUN
ajird-1499	68	4	1,015	1,015	NUM
ajird-1499	68	5	2,869570988	2,869570988	NUM
ajird-1499	68	6	3,1170865	3,1170865	NUM
ajird-1499	68	7	0,247516	0,247516	NOUN
ajird-1499	68	8	table	table	NOUN
ajird-1499	68	9	№	№	ADP
ajird-1499	68	10	1	1	NUM
ajird-1499	68	11	presents	present	VERB
ajird-1499	68	12	the	the	DET
ajird-1499	68	13	experimental	experimental	ADJ
ajird-1499	68	14	data	datum	NOUN
ajird-1499	68	15	connecting	connect	VERB
ajird-1499	68	16	хi	хi	NOUN
ajird-1499	68	17	and	and	CCONJ
ajird-1499	68	18	yi	yi	PROPN
ajird-1499	68	19	.	.	PUNCT
ajird-1499	69	1	at	at	ADP
ajird-1499	69	2	first	first	ADJ
ajird-1499	69	3	glance	glance	NOUN
ajird-1499	69	4	,	,	PUNCT
ajird-1499	69	5	it	it	PRON
ajird-1499	69	6	appears	appear	VERB
ajird-1499	69	7	to	to	PART
ajird-1499	69	8	be	be	AUX
ajird-1499	69	9	a	a	DET
ajird-1499	69	10	typical	typical	ADJ
ajird-1499	69	11	linear	linear	PROPN
ajird-1499	69	12	relationship	relationship	NOUN
ajird-1499	69	13	у	у	PROPN
ajird-1499	69	14	=	=	X
ajird-1499	69	15	а0+bх	а0+bх	X
ajird-1499	69	16	between	between	ADP
ajird-1499	69	17	х	х	PROPN
ajird-1499	69	18	and	and	CCONJ
ajird-1499	69	19	у	у	PROPN
ajird-1499	69	20	.	.	PUNCT
ajird-1499	70	1	the	the	DET
ajird-1499	70	2	data	datum	NOUN
ajird-1499	70	3	was	be	AUX
ajird-1499	70	4	processed	process	VERB
ajird-1499	70	5	using	use	VERB
ajird-1499	70	6	traditional	traditional	ADJ
ajird-1499	70	7	methods	method	NOUN
ajird-1499	70	8	,	,	PUNCT
ajird-1499	70	9	and	and	CCONJ
ajird-1499	70	10	the	the	DET
ajird-1499	70	11	following	following	ADJ
ajird-1499	70	12	result	result	NOUN
ajird-1499	70	13	was	be	AUX
ajird-1499	70	14	obtained	obtain	VERB
ajird-1499	70	15	:	:	PUNCT
ajird-1499	70	16	у2	у2	NOUN
ajird-1499	70	17	=	=	NOUN
ajird-1499	70	18	2,8591х+1,2151	2,8591х+1,2151	NUM
ajird-1499	70	19	.	.	PUNCT
ajird-1499	71	1	the	the	DET
ajird-1499	71	2	correlation	correlation	NOUN
ajird-1499	71	3	coefficient	coefficient	NOUN
ajird-1499	71	4	is	be	AUX
ajird-1499	71	5	r=0,98	r=0,98	NOUN
ajird-1499	71	6	,	,	PUNCT
ajird-1499	71	7	and	and	CCONJ
ajird-1499	71	8	the	the	DET
ajird-1499	71	9	difference	difference	NOUN
ajird-1499	71	10	between	between	ADP
ajird-1499	71	11	the	the	DET
ajird-1499	71	12	actual	actual	ADJ
ajird-1499	71	13	and	and	CCONJ
ajird-1499	71	14	calculated	calculated	ADJ
ajird-1499	71	15	values	value	NOUN
ajird-1499	72	1	|у𝑎	|у𝑎	NUM
ajird-1499	72	2	−	−	PROPN
ajird-1499	72	3	у𝑐|	у𝑐|	PROPN
ajird-1499	72	4	≈	≈	PROPN
ajird-1499	72	5	0	0	NUM
ajird-1499	72	6	.	.	PUNCT
ajird-1499	73	1	but	but	CCONJ
ajird-1499	73	2	in	in	ADP
ajird-1499	73	3	reality	reality	NOUN
ajird-1499	73	4	,	,	PUNCT
ajird-1499	73	5	this	this	PRON
ajird-1499	73	6	is	be	AUX
ajird-1499	73	7	not	not	PART
ajird-1499	73	8	the	the	DET
ajird-1499	73	9	case	case	NOUN
ajird-1499	73	10	.	.	PUNCT
ajird-1499	74	1	the	the	DET
ajird-1499	74	2	given	give	VERB
ajird-1499	74	3	data	datum	NOUN
ajird-1499	74	4	represents	represent	VERB
ajird-1499	74	5	the	the	DET
ajird-1499	74	6	values	value	NOUN
ajird-1499	74	7	of	of	ADP
ajird-1499	74	8	the	the	DET
ajird-1499	74	9	function	function	NOUN
ajird-1499	74	10	у1=3sin(1,256x	у1=3sin(1,256x	NOUN
ajird-1499	74	11	)	)	PUNCT
ajird-1499	74	12	.	.	PUNCT
ajird-1499	75	1	if	if	SCONJ
ajird-1499	75	2	we	we	PRON
ajird-1499	75	3	examine	examine	VERB
ajird-1499	75	4	the	the	DET
ajird-1499	75	5	values	value	NOUN
ajird-1499	75	6	of	of	ADP
ajird-1499	75	7	the	the	DET
ajird-1499	75	8	function	function	NOUN
ajird-1499	75	9	у2=2,8591х+0,2151	у2=2,8591х+0,2151	PROPN
ajird-1499	75	10	and	and	CCONJ
ajird-1499	75	11	the	the	DET
ajird-1499	75	12	values	value	NOUN
ajird-1499	75	13	of	of	ADP
ajird-1499	75	14	у1=3sin(1,256x	у1=3sin(1,256x	NOUN
ajird-1499	75	15	)	)	PUNCT
ajird-1499	75	16	on	on	ADP
ajird-1499	75	17	the	the	DET
ajird-1499	75	18	graph	graph	NOUN
ajird-1499	75	19	(	(	PUNCT
ajird-1499	75	20	fig	fig	NOUN
ajird-1499	75	21	.	.	NOUN
ajird-1499	76	1	1	1	NUM
ajird-1499	76	2	)	)	PUNCT
ajird-1499	76	3	,	,	PUNCT
ajird-1499	76	4	we	we	PRON
ajird-1499	76	5	can	can	AUX
ajird-1499	76	6	see	see	VERB
ajird-1499	76	7	that	that	SCONJ
ajird-1499	76	8	they	they	PRON
ajird-1499	76	9	are	be	AUX
ajird-1499	76	10	virtually	virtually	ADV
ajird-1499	76	11	identical	identical	ADJ
ajird-1499	76	12	.	.	PUNCT
ajird-1499	77	1	american	american	ADJ
ajird-1499	77	2	journal	journal	PROPN
ajird-1499	77	3	of	of	ADP
ajird-1499	77	4	interdisciplinary	interdisciplinary	ADJ
ajird-1499	77	5	research	research	NOUN
ajird-1499	77	6	and	and	CCONJ
ajird-1499	77	7	development	development	NOUN
ajird-1499	77	8	issn	issn	PROPN
ajird-1499	77	9	online	online	NOUN
ajird-1499	77	10	:	:	PUNCT
ajird-1499	77	11	2771	2771	NUM
ajird-1499	77	12	-	-	SYM
ajird-1499	77	13	8948	8948	NUM
ajird-1499	77	14	website	website	NOUN
ajird-1499	77	15	:	:	PUNCT
ajird-1499	77	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	77	17	volume	volume	NOUN
ajird-1499	77	18	38	38	NUM
ajird-1499	77	19	,	,	PUNCT
ajird-1499	77	20	march	march	PROPN
ajird-1499	77	21	2025	2025	NUM
ajird-1499	77	22	71	71	NUM
ajird-1499	78	1	|	|	ADV
ajird-1499	78	2	p	p	NOUN
ajird-1499	78	3	a	a	DET
ajird-1499	78	4	g	g	NOUN
ajird-1499	78	5	e	e	NOUN
ajird-1499	78	6	figure	figure	NOUN
ajird-1499	78	7	1	1	NUM
ajird-1499	78	8	.	.	PUNCT
ajird-1499	78	9	comparison	comparison	NOUN
ajird-1499	78	10	of	of	ADP
ajird-1499	78	11	real	real	ADJ
ajird-1499	78	12	and	and	CCONJ
ajird-1499	78	13	modeled	model	VERB
ajird-1499	78	14	values	value	NOUN
ajird-1499	78	15	.	.	PUNCT
ajird-1499	79	1	this	this	PRON
ajird-1499	79	2	is	be	AUX
ajird-1499	79	3	the	the	DET
ajird-1499	79	4	main	main	ADJ
ajird-1499	79	5	reason	reason	NOUN
ajird-1499	79	6	for	for	ADP
ajird-1499	79	7	our	our	PRON
ajird-1499	79	8	research	research	NOUN
ajird-1499	79	9	.	.	PUNCT
ajird-1499	80	1	in	in	ADP
ajird-1499	80	2	other	other	ADJ
ajird-1499	80	3	words	word	NOUN
ajird-1499	80	4	,	,	PUNCT
ajird-1499	80	5	it	it	PRON
ajird-1499	80	6	is	be	AUX
ajird-1499	80	7	necessary	necessary	ADJ
ajird-1499	80	8	to	to	PART
ajird-1499	80	9	find	find	VERB
ajird-1499	80	10	a	a	DET
ajird-1499	80	11	mathematical	mathematical	ADJ
ajird-1499	80	12	statement	statement	NOUN
ajird-1499	80	13	that	that	PRON
ajird-1499	80	14	provides	provide	VERB
ajird-1499	80	15	a	a	DET
ajird-1499	80	16	clear	clear	ADJ
ajird-1499	80	17	answer	answer	NOUN
ajird-1499	80	18	to	to	ADP
ajird-1499	80	19	the	the	DET
ajird-1499	80	20	question	question	NOUN
ajird-1499	80	21	about	about	ADP
ajird-1499	80	22	the	the	DET
ajird-1499	80	23	form	form	NOUN
ajird-1499	80	24	of	of	ADP
ajird-1499	80	25	the	the	DET
ajird-1499	80	26	relationship	relationship	NOUN
ajird-1499	80	27	between	between	ADP
ajird-1499	80	28	the	the	DET
ajird-1499	80	29	data	datum	NOUN
ajird-1499	80	30	хi	хi	NOUN
ajird-1499	80	31	and	and	CCONJ
ajird-1499	80	32	yi	yi	PROPN
ajird-1499	80	33	:	:	PUNCT
ajird-1499	81	1	linear	linear	PROPN
ajird-1499	81	2	у	у	PROPN
ajird-1499	81	3	=	=	X
ajird-1499	81	4	а0+bх	а0+bх	X
ajird-1499	81	5	or	or	CCONJ
ajird-1499	81	6	harmonic	harmonic	ADJ
ajird-1499	81	7	у=𝐴	у=𝐴	NOUN
ajird-1499	81	8	sin	sin	NOUN
ajird-1499	81	9	2𝜋𝑥	2𝜋𝑥	ADJ
ajird-1499	81	10	т	т	PUNCT
ajird-1499	82	1	+	+	NOUN
ajird-1499	82	2	b	b	PROPN
ajird-1499	82	3	cos	cos	PROPN
ajird-1499	82	4	2𝜋𝑥	2𝜋𝑥	PROPN
ajird-1499	82	5	т	т	PROPN
ajird-1499	82	6	.	.	PUNCT
ajird-1499	83	1	the	the	DET
ajird-1499	83	2	necessary	necessary	ADJ
ajird-1499	83	3	condition	condition	NOUN
ajird-1499	83	4	for	for	ADP
ajird-1499	83	5	the	the	DET
ajird-1499	83	6	existence	existence	NOUN
ajird-1499	83	7	of	of	ADP
ajird-1499	83	8	a	a	DET
ajird-1499	83	9	harmonic	harmonic	ADJ
ajird-1499	83	10	dependence	dependence	NOUN
ajird-1499	83	11	between	between	ADP
ajird-1499	83	12	хi	хi	NOUN
ajird-1499	83	13	and	and	CCONJ
ajird-1499	83	14	yi	yi	PROPN
ajird-1499	83	15	was	be	AUX
ajird-1499	83	16	stated	state	VERB
ajird-1499	83	17	in	in	ADP
ajird-1499	83	18	formula	formula	NOUN
ajird-1499	83	19	(	(	PUNCT
ajird-1499	83	20	1	1	NUM
ajird-1499	83	21	)	)	PUNCT
ajird-1499	83	22	.	.	PUNCT
ajird-1499	84	1	to	to	PART
ajird-1499	84	2	verify	verify	VERB
ajird-1499	84	3	the	the	DET
ajird-1499	84	4	correctness	correctness	NOUN
ajird-1499	84	5	of	of	ADP
ajird-1499	84	6	our	our	PRON
ajird-1499	84	7	theory	theory	NOUN
ajird-1499	84	8	,	,	PUNCT
ajird-1499	84	9	let	let	VERB
ajird-1499	84	10	's	us	PRON
ajird-1499	84	11	consider	consider	VERB
ajird-1499	84	12	an	an	DET
ajird-1499	84	13	example	example	NOUN
ajird-1499	84	14	presented	present	VERB
ajird-1499	84	15	in	in	ADP
ajird-1499	84	16	table	table	NOUN
ajird-1499	84	17	№	№	ADP
ajird-1499	84	18	2	2	NUM
ajird-1499	84	19	.	.	PUNCT
ajird-1499	85	1	in	in	ADP
ajird-1499	85	2	the	the	DET
ajird-1499	85	3	seventh	seventh	ADJ
ajird-1499	85	4	column	column	NOUN
ajird-1499	85	5	of	of	ADP
ajird-1499	85	6	this	this	DET
ajird-1499	85	7	table	table	NOUN
ajird-1499	85	8	,	,	PUNCT
ajird-1499	85	9	the	the	DET
ajird-1499	85	10	values	value	NOUN
ajird-1499	85	11	of	of	ADP
ajird-1499	85	12	the	the	DET
ajird-1499	85	13	second	second	ADJ
ajird-1499	85	14	-	-	PUNCT
ajird-1499	85	15	order	order	NOUN
ajird-1499	85	16	finite	finite	ADJ
ajird-1499	85	17	difference	difference	NOUN
ajird-1499	85	18	∆2у𝑖	∆2у𝑖	VERB
ajird-1499	85	19	∆𝑥2	∆𝑥2	NOUN
ajird-1499	85	20	/у	/у	PUNCT
ajird-1499	85	21	are	be	AUX
ajird-1499	85	22	calculated	calculate	VERB
ajird-1499	85	23	,	,	PUNCT
ajird-1499	85	24	and	and	CCONJ
ajird-1499	85	25	their	their	PRON
ajird-1499	85	26	average	average	ADJ
ajird-1499	85	27	value	value	NOUN
ajird-1499	85	28	is	be	AUX
ajird-1499	85	29	computed	compute	VERB
ajird-1499	85	30	as	as	ADP
ajird-1499	85	31	−1,13=	−1,13=	PUNCT
ajird-1499	85	32	−𝜔2	−𝜔2	PROPN
ajird-1499	85	33	,	,	PUNCT
ajird-1499	85	34	from	from	ADP
ajird-1499	85	35	which	which	PRON
ajird-1499	85	36	𝜔	𝜔	ADP
ajird-1499	85	37	=	=	SYM
ajird-1499	85	38	√1,13	√1,13	X
ajird-1499	85	39	=	=	SYM
ajird-1499	85	40	1,06	1,06	NUM
ajird-1499	85	41	.	.	PUNCT
ajird-1499	86	1	since	since	SCONJ
ajird-1499	86	2	𝜔2	𝜔2	PROPN
ajird-1499	86	3	=	=	PUNCT
ajird-1499	86	4	(	(	PUNCT
ajird-1499	86	5	2𝜋	2𝜋	NOUN
ajird-1499	86	6	т	т	X
ajird-1499	86	7	)	)	PUNCT
ajird-1499	86	8	2	2	NUM
ajird-1499	86	9	=	=	SYM
ajird-1499	86	10	∆2𝑦𝑖	∆2𝑦𝑖	NOUN
ajird-1499	86	11	∆𝑥𝑖	∆𝑥𝑖	NOUN
ajird-1499	86	12	2	2	NUM
ajird-1499	86	13	/𝑦𝑖	/𝑦𝑖	ADP
ajird-1499	86	14	,	,	PUNCT
ajird-1499	86	15	the	the	DET
ajird-1499	86	16	period	period	NOUN
ajird-1499	86	17	of	of	ADP
ajird-1499	86	18	oscillation	oscillation	NOUN
ajird-1499	86	19	т	т	PROPN
ajird-1499	86	20	can	can	AUX
ajird-1499	86	21	be	be	AUX
ajird-1499	86	22	determined	determine	VERB
ajird-1499	86	23	in	in	ADP
ajird-1499	86	24	this	this	DET
ajird-1499	86	25	case	case	NOUN
ajird-1499	86	26	as	as	ADP
ajird-1499	86	27	:	:	PUNCT
ajird-1499	86	28	т	т	X
ajird-1499	86	29	=	=	SYM
ajird-1499	86	30	2𝜋	2𝜋	NUM
ajird-1499	87	1	𝜔	𝜔	PART
ajird-1499	87	2	=	=	SYM
ajird-1499	87	3	6,28	6,28	NUM
ajird-1499	87	4	1,1	1,1	NUM
ajird-1499	87	5	=	=	NUM
ajird-1499	87	6	5,7	5,7	NUM
ajird-1499	87	7	seconds	second	NOUN
ajird-1499	87	8	;	;	PUNCT
ajird-1499	87	9	and	and	CCONJ
ajird-1499	87	10	𝜔	𝜔	ADP
ajird-1499	87	11	=	=	PROPN
ajird-1499	87	12	1,1𝑟𝑎𝑑/𝑠.	1,1𝑟𝑎𝑑/𝑠.	NUM
ajird-1499	87	13	the	the	DET
ajird-1499	87	14	amplitude	amplitude	NOUN
ajird-1499	87	15	of	of	ADP
ajird-1499	87	16	the	the	DET
ajird-1499	87	17	oscillation	oscillation	NOUN
ajird-1499	87	18	process	process	NOUN
ajird-1499	87	19	а	а	PROPN
ajird-1499	87	20	is	be	AUX
ajird-1499	87	21	determined	determine	VERB
ajird-1499	87	22	as	as	SCONJ
ajird-1499	87	23	follows	follow	VERB
ajird-1499	87	24	:	:	PUNCT
ajird-1499	87	25	уi	уi	X
ajird-1499	87	26	=	=	NOUN
ajird-1499	87	27	a*sin(1,1х	a*sin(1,1х	NOUN
ajird-1499	87	28	)	)	PUNCT
ajird-1499	87	29	.	.	PUNCT
ajird-1499	88	1	from	from	ADP
ajird-1499	88	2	table	table	NOUN
ajird-1499	88	3	№	№	ADP
ajird-1499	88	4	2	2	NUM
ajird-1499	88	5	when	when	SCONJ
ajird-1499	88	6	х=0,63	х=0,63	ADJ
ajird-1499	88	7	,	,	PUNCT
ajird-1499	88	8	we	we	PRON
ajird-1499	88	9	have	have	VERB
ajird-1499	88	10	2,1337	2,1337	NOUN
ajird-1499	88	11	=	=	NOUN
ajird-1499	88	12	asin(1,1	asin(1,1	NOUN
ajird-1499	88	13	*	*	PUNCT
ajird-1499	88	14	0,63	0,63	NUM
ajird-1499	88	15	)	)	PUNCT
ajird-1499	88	16	,	,	PUNCT
ajird-1499	88	17	and	and	CCONJ
ajird-1499	88	18	from	from	ADP
ajird-1499	88	19	this	this	PRON
ajird-1499	88	20	,	,	PUNCT
ajird-1499	88	21	we	we	PRON
ajird-1499	88	22	find	find	VERB
ajird-1499	88	23	that	that	SCONJ
ajird-1499	88	24	a=3,5	a=3,5	NOUN
ajird-1499	88	25	.	.	PUNCT
ajird-1499	89	1	therefore	therefore	ADV
ajird-1499	89	2	,	,	PUNCT
ajird-1499	89	3	our	our	PRON
ajird-1499	89	4	function	function	NOUN
ajird-1499	89	5	looks	look	VERB
ajird-1499	89	6	as	as	SCONJ
ajird-1499	89	7	follows	follow	VERB
ajird-1499	89	8	:	:	PUNCT
ajird-1499	89	9	y=3,5sin(1,1х)=3,5sin	y=3,5sin(1,1х)=3,5sin	ADJ
ajird-1499	89	10	(	(	PUNCT
ajird-1499	89	11	2𝜋	2𝜋	NUM
ajird-1499	89	12	5.7	5.7	NUM
ajird-1499	89	13	х	х	NOUN
ajird-1499	89	14	)	)	PUNCT
ajird-1499	89	15	.	.	PUNCT
ajird-1499	90	1	to	to	PART
ajird-1499	90	2	verify	verify	VERB
ajird-1499	90	3	the	the	DET
ajird-1499	90	4	suitability	suitability	NOUN
ajird-1499	90	5	of	of	ADP
ajird-1499	90	6	the	the	DET
ajird-1499	90	7	model	model	NOUN
ajird-1499	90	8	and	and	CCONJ
ajird-1499	90	9	demonstrate	demonstrate	VERB
ajird-1499	90	10	the	the	DET
ajird-1499	90	11	consistency	consistency	NOUN
ajird-1499	90	12	of	of	ADP
ajird-1499	90	13	the	the	DET
ajird-1499	90	14	proposed	propose	VERB
ajird-1499	90	15	method	method	NOUN
ajird-1499	90	16	,	,	PUNCT
ajird-1499	90	17	the	the	DET
ajird-1499	90	18	calculated	calculated	ADJ
ajird-1499	90	19	and	and	CCONJ
ajird-1499	90	20	real	real	ADJ
ajird-1499	90	21	data	datum	NOUN
ajird-1499	90	22	were	be	AUX
ajird-1499	90	23	compared	compare	VERB
ajird-1499	90	24	.	.	PUNCT
ajird-1499	91	1	y	y	PROPN
ajird-1499	91	2	=	=	SYM
ajird-1499	91	3	2.8591x	2.8591x	PROPN
ajird-1499	91	4	+	+	CCONJ
ajird-1499	91	5	0.2151	0.2151	NUM
ajird-1499	91	6	r²	r²	NOUN
ajird-1499	91	7	=	=	SYM
ajird-1499	91	8	0.9834	0.9834	NUM
ajird-1499	91	9	0	0	NUM
ajird-1499	91	10	0.5	0.5	NUM
ajird-1499	91	11	1	1	NUM
ajird-1499	91	12	1.5	1.5	NUM
ajird-1499	91	13	2	2	NUM
ajird-1499	91	14	2.5	2.5	NUM
ajird-1499	91	15	3	3	NUM
ajird-1499	91	16	3.5	3.5	NUM
ajird-1499	91	17	0	0	NUM
ajird-1499	91	18	0.2	0.2	NUM
ajird-1499	91	19	0.4	0.4	NUM
ajird-1499	91	20	0.6	0.6	NUM
ajird-1499	91	21	0.8	0.8	NUM
ajird-1499	91	22	1	1	NUM
ajird-1499	91	23	1.2	1.2	NUM
ajird-1499	91	24	american	american	ADJ
ajird-1499	91	25	journal	journal	NOUN
ajird-1499	91	26	of	of	ADP
ajird-1499	91	27	interdisciplinary	interdisciplinary	ADJ
ajird-1499	91	28	research	research	NOUN
ajird-1499	91	29	and	and	CCONJ
ajird-1499	91	30	development	development	NOUN
ajird-1499	91	31	issn	issn	PROPN
ajird-1499	91	32	online	online	NOUN
ajird-1499	91	33	:	:	PUNCT
ajird-1499	91	34	2771	2771	NUM
ajird-1499	91	35	-	-	SYM
ajird-1499	91	36	8948	8948	NUM
ajird-1499	91	37	website	website	NOUN
ajird-1499	91	38	:	:	PUNCT
ajird-1499	91	39	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	91	40	volume	volume	NOUN
ajird-1499	91	41	38	38	NUM
ajird-1499	91	42	,	,	PUNCT
ajird-1499	91	43	march	march	PROPN
ajird-1499	91	44	2025	2025	NUM
ajird-1499	91	45	72	72	NUM
ajird-1499	92	1	|	|	ADV
ajird-1499	92	2	p	p	NOUN
ajird-1499	92	3	a	a	DET
ajird-1499	92	4	g	g	NOUN
ajird-1499	92	5	e	e	NOUN
ajird-1499	92	6	тable	тable	ADJ
ajird-1499	92	7	№	№	ADP
ajird-1499	92	8	2	2	NUM
ajird-1499	92	9	.	.	PUNCT
ajird-1499	93	1	comparison	comparison	NOUN
ajird-1499	93	2	of	of	ADP
ajird-1499	93	3	real	real	ADJ
ajird-1499	93	4	and	and	CCONJ
ajird-1499	93	5	modeled	model	VERB
ajird-1499	93	6	data	datum	NOUN
ajird-1499	93	7	for	for	ADP
ajird-1499	93	8	the	the	DET
ajird-1499	93	9	function	function	NOUN
ajird-1499	93	10	y=3,5sin	y=3,5sin	NOUN
ajird-1499	93	11	(	(	PUNCT
ajird-1499	93	12	2𝜋	2𝜋	NUM
ajird-1499	93	13	5.7	5.7	NUM
ajird-1499	93	14	х	х	NOUN
ajird-1499	93	15	)	)	PUNCT
ajird-1499	93	16	х	х	PROPN
ajird-1499	93	17	y	y	PROPN
ajird-1499	93	18	∆y	∆y	PROPN
ajird-1499	93	19	∆y	∆y	PROPN
ajird-1499	93	20	/	/	SYM
ajird-1499	93	21	ω∆x	ω∆x	NOUN
ajird-1499	93	22	∆2y	∆2y	VERB
ajird-1499	93	23	∆2y	∆2y	PROPN
ajird-1499	93	24	/	/	SYM
ajird-1499	93	25	ω∆x2	ω∆x2	PROPN
ajird-1499	93	26	(	(	PUNCT
ajird-1499	93	27	∆2y	∆2y	PROPN
ajird-1499	93	28	/	/	SYM
ajird-1499	93	29	ω	ω	NUM
ajird-1499	93	30	∆x2)/y	∆x2)/y	NOUN
ajird-1499	93	31	ya	ya	PROPN
ajird-1499	93	32	ya	ya	PROPN
ajird-1499	93	33	-	-	PUNCT
ajird-1499	93	34	yc	yc	PROPN
ajird-1499	93	35	0,0350	0,0350	PROPN
ajird-1499	93	36	0,1318	0,1318	PROPN
ajird-1499	94	1	0,1316	0,1316	VERB
ajird-1499	94	2	2,9932	2,9932	NUM
ajird-1499	94	3	-0,0116	-0,0116	PROPN
ajird-1499	94	4	-0,2634	-0,2634	PROPN
ajird-1499	95	1	-1,9977	-1,9977	PROPN
ajird-1499	95	2	0,1347	0,1347	ADJ
ajird-1499	95	3	0,0029	0,0029	PROPN
ajird-1499	95	4	0,0700	0,0700	NOUN
ajird-1499	95	5	0,2634	0,2634	NOUN
ajird-1499	96	1	0,1311	0,1311	NUM
ajird-1499	97	1	2,9817	2,9817	PROPN
ajird-1499	97	2	-0,0173	-0,0173	PROPN
ajird-1499	97	3	-0,3944	-0,3944	PROPN
ajird-1499	97	4	-1,4973	-1,4973	PROPN
ajird-1499	97	5	0,2692	0,2692	NOUN
ajird-1499	97	6	0,0058	0,0058	NOUN
ajird-1499	97	7	0,1050	0,1050	VERB
ajird-1499	97	8	0,3945	0,3945	ADP
ajird-1499	97	9	0,1303	0,1303	NUM
ajird-1499	97	10	2,9643	2,9643	NUM
ajird-1499	97	11	-0,0231	-0,0231	PROPN
ajird-1499	97	12	-0,5247	-0,5247	PUNCT
ajird-1499	97	13	-1,3301	-1,3301	PROPN
ajird-1499	97	14	0,4034	0,4034	NOUN
ajird-1499	97	15	0,0089	0,0089	NOUN
ajird-1499	97	16	0,1400	0,1400	NOUN
ajird-1499	98	1	0,5248	0,5248	NOUN
ajird-1499	98	2	0,1293	0,1293	NOUN
ajird-1499	99	1	2,9413	2,9413	PROPN
ajird-1499	99	2	-0,0287	-0,0287	PROPN
ajird-1499	100	1	-0,6540	-0,6540	NUM
ajird-1499	100	2	-1,2462	-1,2462	PROPN
ajird-1499	101	1	0,5369	0,5369	NUM
ajird-1499	101	2	0,0121	0,0121	PROPN
ajird-1499	101	3	0,1750	0,1750	NOUN
ajird-1499	101	4	0,6541	0,6541	NOUN
ajird-1499	102	1	0,1280	0,1280	NOUN
ajird-1499	103	1	2,9125	2,9125	NUM
ajird-1499	103	2	-0,0344	-0,0344	NOUN
ajird-1499	103	3	-0,7820	-0,7820	PROPN
ajird-1499	103	4	-1,1955	-1,1955	PROPN
ajird-1499	103	5	0,6696	0,6696	NOUN
ajird-1499	103	6	0,0155	0,0155	PROPN
ajird-1499	103	7	0,2100	0,2100	PROPN
ajird-1499	103	8	0,7821	0,7821	NUM
ajird-1499	103	9	0,1265	0,1265	NOUN
ajird-1499	103	10	2,8781	2,8781	NUM
ajird-1499	103	11	-0,0399	-0,0399	NOUN
ajird-1499	103	12	-0,9085	-0,9085	INTJ
ajird-1499	103	13	-1,1616	-1,1616	PROPN
ajird-1499	103	14	0,8013	0,8013	PROPN
ajird-1499	103	15	0,0192	0,0192	PRON
ajird-1499	103	16	0,2450	0,2450	NOUN
ajird-1499	103	17	0,9087	0,9087	PROPN
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ajird-1499	115	5	0,1205	0,1205	X
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ajird-1499	119	1	1,2767	1,2767	PROPN
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ajird-1499	142	2	№	№	ADP
ajird-1499	142	3	2	2	NUM
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ajird-1499	142	14	,	,	PUNCT
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ajird-1499	142	17	у𝑎|	у𝑎|	PROPN
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ajird-1499	143	21	-	-	SYM
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ajird-1499	145	22	,	,	PUNCT
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ajird-1499	145	24	̅̅	̅̅	NOUN
ajird-1499	145	25	̅	̅	NOUN
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ajird-1499	145	31	to	to	PART
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ajird-1499	145	34	the	the	DET
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ajird-1499	145	36	𝑦	𝑦	NOUN
ajird-1499	145	37	=	=	SYM
ajird-1499	145	38	𝑓(𝑥	𝑓(𝑥	NOUN
ajird-1499	145	39	)	)	PUNCT
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ajird-1499	145	42	or	or	CCONJ
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ajird-1499	146	8	the	the	DET
ajird-1499	146	9	function	function	NOUN
ajird-1499	146	10	𝑦	𝑦	NOUN
ajird-1499	146	11	=	=	SYM
ajird-1499	146	12	𝑓(𝑥	𝑓(𝑥	NOUN
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ajird-1499	146	20	∆2𝑦	∆2𝑦	VERB
ajird-1499	146	21	∆𝑥2	∆𝑥2	PROPN
ajird-1499	146	22	and	and	CCONJ
ajird-1499	146	23	its	its	PRON
ajird-1499	146	24	ratio	ratio	NOUN
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ajird-1499	146	26	у	у	NOUN
ajird-1499	146	27	:	:	PUNCT
ajird-1499	146	28	if	if	SCONJ
ajird-1499	146	29	∆2𝑦	∆2𝑦	VERB
ajird-1499	146	30	∆𝑥2	∆𝑥2	NOUN
ajird-1499	146	31	/𝑦	/𝑦	PUNCT
ajird-1499	147	1	=	=	NOUN
ajird-1499	147	2	𝑐𝑜𝑛𝑡	𝑐𝑜𝑛𝑡	NOUN
ajird-1499	148	1	=	=	SYM
ajird-1499	148	2	𝜔2	𝜔2	PROPN
ajird-1499	148	3	,	,	PUNCT
ajird-1499	148	4	then	then	ADV
ajird-1499	148	5	the	the	DET
ajird-1499	148	6	studied	studied	ADJ
ajird-1499	148	7	dependence	dependence	NOUN
ajird-1499	148	8	is	be	AUX
ajird-1499	148	9	harmonic	harmonic	ADJ
ajird-1499	148	10	,	,	PUNCT
ajird-1499	148	11	i.e.	i.e.	X
ajird-1499	148	12	,	,	PUNCT
ajird-1499	148	13	it	it	PRON
ajird-1499	148	14	has	have	VERB
ajird-1499	148	15	the	the	DET
ajird-1499	148	16	following	follow	VERB
ajird-1499	148	17	form	form	NOUN
ajird-1499	148	18	:	:	PUNCT
ajird-1499	148	19	𝑦	𝑦	NOUN
ajird-1499	148	20	=	=	PUNCT
ajird-1499	148	21	𝐴sin	𝐴sin	PROPN
ajird-1499	148	22	2𝜋𝑥	2𝜋𝑥	NOUN
ajird-1499	148	23	т	т	PUNCT
ajird-1499	149	1	+	+	CCONJ
ajird-1499	149	2	𝐵с𝑜𝑠	𝐵с𝑜𝑠	PROPN
ajird-1499	149	3	2𝜋𝑥	2𝜋𝑥	NOUN
ajird-1499	149	4	т	т	PROPN
ajird-1499	149	5	.	.	PUNCT
ajird-1499	150	1	3	3	X
ajird-1499	150	2	.	.	X
ajird-1499	150	3	one	one	NUM
ajird-1499	150	4	of	of	ADP
ajird-1499	150	5	the	the	DET
ajird-1499	150	6	advantages	advantage	NOUN
ajird-1499	150	7	of	of	ADP
ajird-1499	150	8	this	this	DET
ajird-1499	150	9	method	method	NOUN
ajird-1499	150	10	is	be	AUX
ajird-1499	150	11	that	that	SCONJ
ajird-1499	150	12	,	,	PUNCT
ajird-1499	150	13	knowing	know	VERB
ajird-1499	150	14	only	only	ADV
ajird-1499	150	15	the	the	DET
ajird-1499	150	16	values	value	NOUN
ajird-1499	150	17	of	of	ADP
ajird-1499	150	18	хi	хi	NOUN
ajird-1499	150	19	and	and	CCONJ
ajird-1499	150	20	yi	yi	PROPN
ajird-1499	150	21	,	,	PUNCT
ajird-1499	150	22	where	where	SCONJ
ajird-1499	150	23	𝑖	𝑖	ADP
ajird-1499	150	24	=	=	SYM
ajird-1499	150	25	1	1	NUM
ajird-1499	150	26	,	,	PUNCT
ajird-1499	150	27	𝑁̅̅	𝑁̅̅	NOUN
ajird-1499	150	28	̅̅	̅̅	NOUN
ajird-1499	150	29	̅	̅	NOUN
ajird-1499	150	30	,	,	PUNCT
ajird-1499	150	31	we	we	PRON
ajird-1499	150	32	can	can	AUX
ajird-1499	150	33	determine	determine	VERB
ajird-1499	150	34	both	both	PRON
ajird-1499	150	35	the	the	DET
ajird-1499	150	36	oscillation	oscillation	NOUN
ajird-1499	150	37	period	period	NOUN
ajird-1499	150	38	т	т	PROPN
ajird-1499	150	39	and	and	CCONJ
ajird-1499	150	40	the	the	DET
ajird-1499	150	41	oscillation	oscillation	NOUN
ajird-1499	150	42	amplitudes	amplitude	NOUN
ajird-1499	150	43	а	а	PROPN
ajird-1499	150	44	and	and	CCONJ
ajird-1499	150	45	в	в	NOUN
ajird-1499	150	46	;	;	PUNCT
ajird-1499	150	47	4	4	X
ajird-1499	150	48	.	.	PUNCT
ajird-1499	151	1	the	the	DET
ajird-1499	151	2	amplitudes	amplitude	NOUN
ajird-1499	151	3	а	а	PROPN
ajird-1499	151	4	and	and	CCONJ
ajird-1499	151	5	в	в	PROPN
ajird-1499	151	6	are	be	AUX
ajird-1499	151	7	determined	determine	VERB
ajird-1499	151	8	based	base	VERB
ajird-1499	151	9	on	on	ADP
ajird-1499	151	10	the	the	DET
ajird-1499	151	11	solution	solution	NOUN
ajird-1499	151	12	of	of	ADP
ajird-1499	151	13	the	the	DET
ajird-1499	151	14	second	second	ADJ
ajird-1499	151	15	-	-	PUNCT
ajird-1499	151	16	order	order	NOUN
ajird-1499	151	17	differential	differential	ADJ
ajird-1499	151	18	equation	equation	NOUN
ajird-1499	151	19	,	,	PUNCT
ajird-1499	151	20	which	which	PRON
ajird-1499	151	21	has	have	VERB
ajird-1499	151	22	the	the	DET
ajird-1499	151	23	form	form	NOUN
ajird-1499	151	24	:	:	PUNCT
ajird-1499	151	25	𝑦′′	𝑦′′	ADV
ajird-1499	151	26	=	=	PUNCT
ajird-1499	152	1	−𝜔2у	−𝜔2у	PROPN
ajird-1499	152	2	.	.	PUNCT
ajird-1499	153	1	in	in	ADP
ajird-1499	153	2	this	this	DET
ajird-1499	153	3	case	case	NOUN
ajird-1499	153	4	,	,	PUNCT
ajird-1499	153	5	the	the	DET
ajird-1499	153	6	characteristic	characteristic	ADJ
ajird-1499	153	7	equation	equation	NOUN
ajird-1499	153	8	к2=	к2=	PROPN
ajird-1499	153	9	ω	ω	NUM
ajird-1499	153	10	has	have	VERB
ajird-1499	153	11	an	an	DET
ajird-1499	153	12	imaginary	imaginary	ADJ
ajird-1499	153	13	solution	solution	NOUN
ajird-1499	153	14	.	.	PUNCT
ajird-1499	154	1	therefore	therefore	ADV
ajird-1499	154	2	,	,	PUNCT
ajird-1499	154	3	the	the	DET
ajird-1499	154	4	general	general	ADJ
ajird-1499	154	5	solution	solution	NOUN
ajird-1499	154	6	of	of	ADP
ajird-1499	154	7	the	the	DET
ajird-1499	154	8	differential	differential	ADJ
ajird-1499	154	9	equation	equation	NOUN
ajird-1499	154	10	is	be	AUX
ajird-1499	154	11	:	:	PUNCT
ajird-1499	154	12	у	у	PROPN
ajird-1499	154	13	=	=	SYM
ajird-1499	154	14	аsin√𝜔𝑡	аsin√𝜔𝑡	X
ajird-1499	154	15	+	+	CCONJ
ajird-1499	154	16	𝐵𝑐𝑜𝑠√𝜔𝑡.	𝐵𝑐𝑜𝑠√𝜔𝑡.	VERB
ajird-1499	154	17	the	the	DET
ajird-1499	154	18	coefficients	coefficient	NOUN
ajird-1499	154	19	of	of	ADP
ajird-1499	154	20	this	this	DET
ajird-1499	154	21	function	function	NOUN
ajird-1499	154	22	are	be	AUX
ajird-1499	154	23	determined	determine	VERB
ajird-1499	154	24	based	base	VERB
ajird-1499	154	25	on	on	ADP
ajird-1499	154	26	the	the	DET
ajird-1499	154	27	initial	initial	ADJ
ajird-1499	154	28	conditions	condition	NOUN
ajird-1499	154	29	𝑦(𝑥0	𝑦(𝑥0	ADJ
ajird-1499	154	30	)	)	PUNCT
ajird-1499	154	31	=	=	SYM
ajird-1499	154	32	𝑦0	𝑦0	NOUN
ajird-1499	154	33	and	and	CCONJ
ajird-1499	154	34	𝑦′(𝑥0	𝑦′(𝑥0	NOUN
ajird-1499	154	35	)	)	PUNCT
ajird-1499	154	36	=	=	SYM
ajird-1499	154	37	𝑦0	𝑦0	NOUN
ajird-1499	154	38	′	′	NOUN
ajird-1499	154	39	.	.	PUNCT
ajird-1499	155	1	from	from	ADP
ajird-1499	155	2	these	these	DET
ajird-1499	155	3	initial	initial	ADJ
ajird-1499	155	4	conditions	condition	NOUN
ajird-1499	155	5	,	,	PUNCT
ajird-1499	155	6	we	we	PRON
ajird-1499	155	7	obtain	obtain	VERB
ajird-1499	155	8	a	a	DET
ajird-1499	155	9	system	system	NOUN
ajird-1499	155	10	of	of	ADP
ajird-1499	155	11	two	two	NUM
ajird-1499	155	12	equations	equation	NOUN
ajird-1499	155	13	with	with	ADP
ajird-1499	155	14	two	two	NUM
ajird-1499	155	15	unknowns	unknown	NOUN
ajird-1499	155	16	,	,	PUNCT
ajird-1499	155	17	and	and	CCONJ
ajird-1499	155	18	by	by	ADP
ajird-1499	155	19	solving	solve	VERB
ajird-1499	155	20	this	this	DET
ajird-1499	155	21	system	system	NOUN
ajird-1499	155	22	,	,	PUNCT
ajird-1499	155	23	we	we	PRON
ajird-1499	155	24	find	find	VERB
ajird-1499	155	25	the	the	DET
ajird-1499	155	26	coefficients	coefficient	NOUN
ajird-1499	155	27	а	а	PROPN
ajird-1499	155	28	and	and	CCONJ
ajird-1499	155	29	в	в	X
ajird-1499	155	30	.	.	PUNCT
ajird-1499	156	1	to	to	PART
ajird-1499	156	2	verify	verify	VERB
ajird-1499	156	3	this	this	DET
ajird-1499	156	4	theory	theory	NOUN
ajird-1499	156	5	in	in	ADP
ajird-1499	156	6	practice	practice	NOUN
ajird-1499	156	7	,	,	PUNCT
ajird-1499	156	8	let	let	VERB
ajird-1499	156	9	's	us	PRON
ajird-1499	156	10	consider	consider	VERB
ajird-1499	156	11	specific	specific	ADJ
ajird-1499	156	12	data	datum	NOUN
ajird-1499	156	13	on	on	ADP
ajird-1499	156	14	cotton	cotton	NOUN
ajird-1499	156	15	yield	yield	NOUN
ajird-1499	156	16	in	in	ADP
ajird-1499	156	17	the	the	DET
ajird-1499	156	18	period	period	NOUN
ajird-1499	156	19	from	from	ADP
ajird-1499	156	20	1991	1991	NUM
ajird-1499	156	21	to	to	ADP
ajird-1499	156	22	2023	2023	NUM
ajird-1499	156	23	in	in	ADP
ajird-1499	156	24	the	the	DET
ajird-1499	156	25	bukhara	bukhara	PROPN
ajird-1499	156	26	region	region	NOUN
ajird-1499	156	27	of	of	ADP
ajird-1499	156	28	the	the	DET
ajird-1499	156	29	republic	republic	NOUN
ajird-1499	156	30	of	of	ADP
ajird-1499	156	31	uzbekistan	uzbekistan	PROPN
ajird-1499	156	32	.	.	PUNCT
ajird-1499	157	1	back	back	ADV
ajird-1499	157	2	in	in	ADP
ajird-1499	157	3	the	the	DET
ajird-1499	157	4	late	late	ADJ
ajird-1499	157	5	20th	20th	ADJ
ajird-1499	157	6	century	century	NOUN
ajird-1499	157	7	,	,	PUNCT
ajird-1499	157	8	m.a	m.a	PROPN
ajird-1499	157	9	.	.	PROPN
ajird-1499	157	10	abdullayeva	abdullayeva	PROPN
ajird-1499	157	11	proved	prove	VERB
ajird-1499	157	12	the	the	DET
ajird-1499	157	13	existence	existence	NOUN
ajird-1499	157	14	of	of	ADP
ajird-1499	157	15	cyclicality	cyclicality	NOUN
ajird-1499	157	16	in	in	ADP
ajird-1499	157	17	cotton	cotton	NOUN
ajird-1499	157	18	yields	yield	NOUN
ajird-1499	157	19	,	,	PUNCT
ajird-1499	157	20	the	the	DET
ajird-1499	157	21	results	result	NOUN
ajird-1499	157	22	of	of	ADP
ajird-1499	157	23	which	which	PRON
ajird-1499	157	24	were	be	AUX
ajird-1499	157	25	published	publish	VERB
ajird-1499	157	26	in	in	ADP
ajird-1499	157	27	the	the	DET
ajird-1499	157	28	1982	1982	NUM
ajird-1499	157	29	-	-	SYM
ajird-1499	157	30	1984	1984	NUM
ajird-1499	157	31	period	period	NOUN
ajird-1499	157	32	in	in	ADP
ajird-1499	157	33	the	the	DET
ajird-1499	157	34	journal	journal	NOUN
ajird-1499	157	35	“	"	PUNCT
ajird-1499	157	36	хлопководство	хлопководство	PROPN
ajird-1499	157	37	”	"	PUNCT
ajird-1499	157	38	(	(	PUNCT
ajird-1499	157	39	cotton	cotton	NOUN
ajird-1499	157	40	cultivation	cultivation	NOUN
ajird-1499	157	41	)	)	PUNCT
ajird-1499	157	42	.	.	PUNCT
ajird-1499	158	1	the	the	DET
ajird-1499	158	2	author	author	NOUN
ajird-1499	158	3	proposed	propose	VERB
ajird-1499	158	4	a	a	DET
ajird-1499	158	5	yield	yield	NOUN
ajird-1499	158	6	graph	graph	NOUN
ajird-1499	158	7	over	over	ADP
ajird-1499	158	8	an	an	DET
ajird-1499	158	9	extended	extended	ADJ
ajird-1499	158	10	period	period	NOUN
ajird-1499	158	11	based	base	VERB
ajird-1499	158	12	on	on	ADP
ajird-1499	158	13	a	a	DET
ajird-1499	158	14	specific	specific	ADJ
ajird-1499	158	15	cyclicity	cyclicity	NOUN
ajird-1499	158	16	.	.	PUNCT
ajird-1499	159	1	based	base	VERB
ajird-1499	159	2	on	on	ADP
ajird-1499	159	3	this	this	DET
ajird-1499	159	4	evidence	evidence	NOUN
ajird-1499	159	5	,	,	PUNCT
ajird-1499	159	6	we	we	PRON
ajird-1499	159	7	propose	propose	VERB
ajird-1499	159	8	the	the	DET
ajird-1499	159	9	most	most	ADV
ajird-1499	159	10	advanced	advanced	ADJ
ajird-1499	159	11	methodology	methodology	NOUN
ajird-1499	159	12	for	for	ADP
ajird-1499	159	13	determining	determine	VERB
ajird-1499	159	14	these	these	DET
ajird-1499	159	15	cycles	cycle	NOUN
ajird-1499	159	16	.	.	PUNCT
ajird-1499	160	1	here	here	ADV
ajird-1499	160	2	,	,	PUNCT
ajird-1499	160	3	∆𝑡𝑖	∆𝑡𝑖	X
ajird-1499	160	4	=	=	SYM
ajird-1499	160	5	1	1	X
ajird-1499	160	6	.	.	PUNCT
ajird-1499	160	7	table	table	NOUN
ajird-1499	160	8	№	№	ADP
ajird-1499	160	9	3	3	NUM
ajird-1499	160	10	table	table	NOUN
ajird-1499	160	11	of	of	ADP
ajird-1499	160	12	calculations	calculation	NOUN
ajird-1499	160	13	for	for	ADP
ajird-1499	160	14	determining	determine	VERB
ajird-1499	160	15	the	the	DET
ajird-1499	160	16	oscillation	oscillation	NOUN
ajird-1499	160	17	cycles	cycle	NOUN
ajird-1499	160	18	of	of	ADP
ajird-1499	160	19	cotton	cotton	NOUN
ajird-1499	160	20	yield	yield	NOUN
ajird-1499	160	21	in	in	ADP
ajird-1499	160	22	the	the	DET
ajird-1499	160	23	bukhara	bukhara	PROPN
ajird-1499	160	24	region	region	NOUN
ajird-1499	160	25	of	of	ADP
ajird-1499	160	26	the	the	DET
ajird-1499	160	27	republic	republic	NOUN
ajird-1499	160	28	of	of	ADP
ajird-1499	160	29	uzbekistan	uzbekistan	PROPN
ajird-1499	160	30	.	.	PUNCT
ajird-1499	161	1	t	t	PROPN
ajird-1499	161	2	уi	уi	PROPN
ajird-1499	162	1	ki	ki	PROPN
ajird-1499	163	1	=	=	NOUN
ajird-1499	163	2	yi-25,8	yi-25,8	X
ajird-1499	163	3	∆к𝒊	∆к𝒊	NOUN
ajird-1499	163	4	∆𝒕𝒊	∆𝒕𝒊	NOUN
ajird-1499	163	5	∆𝟐к𝒊	∆𝟐к𝒊	VERB
ajird-1499	163	6	∆𝒕𝒊	∆𝒕𝒊	NOUN
ajird-1499	163	7	𝟐	𝟐	NUM
ajird-1499	163	8	∆𝟐к𝒊	∆𝟐к𝒊	NOUN
ajird-1499	163	9	∆𝒕𝒊	∆𝒕𝒊	NOUN
ajird-1499	163	10	𝟐	𝟐	NUM
ajird-1499	163	11	/𝐤𝐢	/𝐤𝐢	PUNCT
ajird-1499	163	12	=	=	SYM
ajird-1499	163	13	𝝎𝒊	𝝎𝒊	ADP
ajird-1499	163	14	𝟐	𝟐	NUM
ajird-1499	163	15	1	1	NUM
ajird-1499	163	16	.	.	PUNCT
ajird-1499	164	1	34,00	34,00	NUM
ajird-1499	164	2	8,20	8,20	NUM
ajird-1499	164	3	-2,00000	-2,00000	PROPN
ajird-1499	164	4	4,90000	4,90000	NUM
ajird-1499	164	5	0,59756	0,59756	NOUN
ajird-1499	164	6	2	2	NUM
ajird-1499	164	7	.	.	X
ajird-1499	165	1	32,00	32,00	NUM
ajird-1499	165	2	6,20	6,20	NUM
ajird-1499	165	3	2,90000	2,90000	NUM
ajird-1499	166	1	-5,60000	-5,60000	INTJ
ajird-1499	166	2	-0,90323	-0,90323	PROPN
ajird-1499	166	3	3	3	NUM
ajird-1499	166	4	.	.	X
ajird-1499	167	1	34,90	34,90	NUM
ajird-1499	167	2	9,10	9,10	NUM
ajird-1499	167	3	-2,70000	-2,70000	NUM
ajird-1499	167	4	3,90000	3,90000	NUM
ajird-1499	167	5	0,42857	0,42857	NOUN
ajird-1499	167	6	4	4	NUM
ajird-1499	167	7	.	.	X
ajird-1499	167	8	32,20	32,20	NUM
ajird-1499	167	9	6,40	6,40	NUM
ajird-1499	167	10	1,20000	1,20000	NUM
ajird-1499	167	11	-6,00000	-6,00000	NUM
ajird-1499	167	12	-0,93750	-0,93750	PROPN
ajird-1499	167	13	5	5	NUM
ajird-1499	167	14	.	.	X
ajird-1499	167	15	33,40	33,40	NUM
ajird-1499	167	16	7,60	7,60	NOUN
ajird-1499	167	17	-4,80000	-4,80000	NUM
ajird-1499	167	18	5,50000	5,50000	NUM
ajird-1499	167	19	0,72368	0,72368	NOUN
ajird-1499	167	20	6	6	NUM
ajird-1499	167	21	.	.	PUNCT
ajird-1499	168	1	28,60	28,60	NUM
ajird-1499	168	2	2,80	2,80	NUM
ajird-1499	168	3	0,70000	0,70000	NOUN
ajird-1499	168	4	-0,50000	-0,50000	NUM
ajird-1499	169	1	-0,17857	-0,17857	PROPN
ajird-1499	169	2	7	7	NUM
ajird-1499	169	3	.	.	X
ajird-1499	169	4	29,30	29,30	NUM
ajird-1499	169	5	3,50	3,50	NUM
ajird-1499	169	6	0,20000	0,20000	NOUN
ajird-1499	169	7	1,60000	1,60000	NUM
ajird-1499	169	8	0,45714	0,45714	NOUN
ajird-1499	169	9	8	8	NUM
ajird-1499	169	10	.	.	PUNCT
ajird-1499	170	1	29,50	29,50	NUM
ajird-1499	170	2	3,70	3,70	NUM
ajird-1499	170	3	1,80000	1,80000	NUM
ajird-1499	170	4	-5,80000	-5,80000	PROPN
ajird-1499	170	5	-1,56757	-1,56757	PROPN
ajird-1499	170	6	9	9	NUM
ajird-1499	170	7	.	.	PUNCT
ajird-1499	171	1	31,30	31,30	NOUN
ajird-1499	171	2	5,50	5,50	NUM
ajird-1499	171	3	-4,00000	-4,00000	NUM
ajird-1499	171	4	3,80000	3,80000	NUM
ajird-1499	171	5	0,69091	0,69091	NOUN
ajird-1499	171	6	american	american	PROPN
ajird-1499	171	7	journal	journal	PROPN
ajird-1499	171	8	of	of	ADP
ajird-1499	171	9	interdisciplinary	interdisciplinary	ADJ
ajird-1499	171	10	research	research	NOUN
ajird-1499	171	11	and	and	CCONJ
ajird-1499	171	12	development	development	NOUN
ajird-1499	171	13	issn	issn	PROPN
ajird-1499	171	14	online	online	NOUN
ajird-1499	171	15	:	:	PUNCT
ajird-1499	171	16	2771	2771	NUM
ajird-1499	171	17	-	-	SYM
ajird-1499	171	18	8948	8948	NUM
ajird-1499	171	19	website	website	NOUN
ajird-1499	171	20	:	:	PUNCT
ajird-1499	171	21	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	171	22	volume	volume	NOUN
ajird-1499	171	23	38	38	NUM
ajird-1499	171	24	,	,	PUNCT
ajird-1499	171	25	march	march	PROPN
ajird-1499	171	26	2025	2025	NUM
ajird-1499	171	27	74	74	NUM
ajird-1499	172	1	|	|	ADV
ajird-1499	172	2	p	p	NOUN
ajird-1499	172	3	a	a	DET
ajird-1499	172	4	g	g	NOUN
ajird-1499	172	5	e	e	NOUN
ajird-1499	172	6	10	10	NUM
ajird-1499	172	7	.	.	PUNCT
ajird-1499	173	1	27,30	27,30	NOUN
ajird-1499	173	2	1,50	1,50	NUM
ajird-1499	173	3	-0,20000	-0,20000	PROPN
ajird-1499	173	4	1,30000	1,30000	NUM
ajird-1499	173	5	0,86667	0,86667	NOUN
ajird-1499	173	6	11	11	NUM
ajird-1499	173	7	.	.	PUNCT
ajird-1499	174	1	27,10	27,10	NUM
ajird-1499	174	2	1,30	1,30	NUM
ajird-1499	174	3	1,10000	1,10000	NUM
ajird-1499	174	4	0,00000	0,00000	NUM
ajird-1499	174	5	0,00000	0,00000	NUM
ajird-1499	174	6	12	12	NUM
ajird-1499	174	7	.	.	PUNCT
ajird-1499	175	1	28,20	28,20	NUM
ajird-1499	175	2	2,40	2,40	NUM
ajird-1499	175	3	1,10000	1,10000	NUM
ajird-1499	175	4	0,20000	0,20000	X
ajird-1499	175	5	0,08333	0,08333	NOUN
ajird-1499	175	6	13	13	NUM
ajird-1499	175	7	.	.	PUNCT
ajird-1499	176	1	29,30	29,30	NUM
ajird-1499	176	2	3,50	3,50	NUM
ajird-1499	176	3	1,30000	1,30000	NUM
ajird-1499	176	4	-1,00226	-1,00226	PROPN
ajird-1499	176	5	-0,28636	-0,28636	PROPN
ajird-1499	176	6	14	14	NUM
ajird-1499	176	7	.	.	PUNCT
ajird-1499	177	1	30,60	30,60	NUM
ajird-1499	177	2	4,80	4,80	NUM
ajird-1499	177	3	0,29774	0,29774	ADV
ajird-1499	177	4	-1,77444	-1,77444	PROPN
ajird-1499	177	5	-0,36968	-0,36968	PROPN
ajird-1499	177	6	15	15	NUM
ajird-1499	177	7	.	.	PUNCT
ajird-1499	177	8	30,90	30,90	NUM
ajird-1499	177	9	5,10	5,10	NUM
ajird-1499	177	10	-1,47670	-1,47670	PROPN
ajird-1499	177	11	2,34451	2,34451	NUM
ajird-1499	177	12	0,45991	0,45991	NOUN
ajird-1499	177	13	16	16	NUM
ajird-1499	177	14	.	.	PUNCT
ajird-1499	178	1	29,42	29,42	NUM
ajird-1499	178	2	3,62	3,62	NUM
ajird-1499	178	3	0,86780	0,86780	NOUN
ajird-1499	178	4	-5,35104	-5,35104	PROPN
ajird-1499	178	5	-1,47777	-1,47777	PROPN
ajird-1499	178	6	17	17	NUM
ajird-1499	178	7	.	.	PUNCT
ajird-1499	179	1	30,29	30,29	NUM
ajird-1499	179	2	4,49	4,49	NUM
ajird-1499	180	1	-4,48324	-4,48324	PROPN
ajird-1499	180	2	7,27765	7,27765	PROPN
ajird-1499	180	3	1,62128	1,62128	PROPN
ajird-1499	180	4	18	18	NUM
ajird-1499	180	5	.	.	PUNCT
ajird-1499	181	1	25,81	25,81	NUM
ajird-1499	181	2	0,01	0,01	NUM
ajird-1499	181	3	2,79441	2,79441	NUM
ajird-1499	181	4	-0,40895	-0,40895	NUM
ajird-1499	181	5	0,00000	0,00000	NUM
ajird-1499	181	6	19	19	NUM
ajird-1499	181	7	.	.	PUNCT
ajird-1499	182	1	28,60	28,60	NUM
ajird-1499	182	2	2,80	2,80	NUM
ajird-1499	182	3	2,38546	2,38546	NUM
ajird-1499	182	4	-0,77092	-0,77092	PROPN
ajird-1499	182	5	-0,27533	-0,27533	PROPN
ajird-1499	182	6	20	20	NUM
ajird-1499	182	7	.	.	PUNCT
ajird-1499	183	1	30,99	30,99	NUM
ajird-1499	183	2	5,19	5,19	NUM
ajird-1499	183	3	1,61454	1,61454	PROPN
ajird-1499	183	4	-2,71454	-2,71454	INTJ
ajird-1499	183	5	-0,52349	-0,52349	PROPN
ajird-1499	183	6	21	21	NUM
ajird-1499	183	7	.	.	PUNCT
ajird-1499	184	1	32,60	32,60	NUM
ajird-1499	184	2	6,80	6,80	NOUN
ajird-1499	184	3	-1,10000	-1,10000	NUM
ajird-1499	184	4	1,00000	1,00000	NUM
ajird-1499	184	5	0,14706	0,14706	PROPN
ajird-1499	184	6	22	22	NUM
ajird-1499	184	7	.	.	PUNCT
ajird-1499	185	1	31,50	31,50	NUM
ajird-1499	186	1	5,70	5,70	NOUN
ajird-1499	186	2	-0,10000	-0,10000	PUNCT
ajird-1499	186	3	0,00000	0,00000	NUM
ajird-1499	186	4	0,00000	0,00000	NUM
ajird-1499	186	5	23	23	NUM
ajird-1499	186	6	.	.	PUNCT
ajird-1499	187	1	31,40	31,40	NUM
ajird-1499	187	2	5,60	5,60	NOUN
ajird-1499	187	3	-0,10000	-0,10000	PROPN
ajird-1499	187	4	1,40000	1,40000	NUM
ajird-1499	187	5	0,25000	0,25000	NOUN
ajird-1499	187	6	24	24	NUM
ajird-1499	187	7	.	.	PUNCT
ajird-1499	188	1	31,30	31,30	NOUN
ajird-1499	188	2	5,50	5,50	NUM
ajird-1499	188	3	1,30000	1,30000	NUM
ajird-1499	188	4	-3,70000	-3,70000	INTJ
ajird-1499	189	1	-0,67273	-0,67273	PROPN
ajird-1499	190	1	25	25	NUM
ajird-1499	190	2	.	.	PUNCT
ajird-1499	191	1	32,60	32,60	NUM
ajird-1499	191	2	6,80	6,80	NOUN
ajird-1499	191	3	-2,40000	-2,40000	NUM
ajird-1499	191	4	1,50000	1,50000	NUM
ajird-1499	191	5	0,22059	0,22059	NUM
ajird-1499	191	6	26	26	NUM
ajird-1499	191	7	.	.	PUNCT
ajird-1499	192	1	30,20	30,20	NUM
ajird-1499	192	2	4,40	4,40	NUM
ajird-1499	192	3	-0,90000	-0,90000	NOUN
ajird-1499	192	4	-0,10000	-0,10000	PUNCT
ajird-1499	192	5	-0,02273	-0,02273	PROPN
ajird-1499	192	6	27	27	NUM
ajird-1499	192	7	.	.	PUNCT
ajird-1499	193	1	29,30	29,30	NUM
ajird-1499	193	2	3,50	3,50	NUM
ajird-1499	193	3	-1,00000	-1,00000	NUM
ajird-1499	193	4	2,80000	2,80000	NUM
ajird-1499	194	1	0,80000	0,80000	PROPN
ajird-1499	194	2	28	28	NUM
ajird-1499	194	3	.	.	PUNCT
ajird-1499	195	1	28,30	28,30	NOUN
ajird-1499	195	2	2,50	2,50	NUM
ajird-1499	195	3	1,80000	1,80000	NUM
ajird-1499	195	4	-4,20000	-4,20000	INTJ
ajird-1499	195	5	-1,68000	-1,68000	PROPN
ajird-1499	195	6	29	29	NUM
ajird-1499	195	7	.	.	PUNCT
ajird-1499	196	1	30,10	30,10	NUM
ajird-1499	196	2	4,30	4,30	NUM
ajird-1499	197	1	-2,40000	-2,40000	NUM
ajird-1499	198	1	11,30000	11,30000	NUM
ajird-1499	198	2	2,62791	2,62791	NUM
ajird-1499	198	3	30	30	NUM
ajird-1499	198	4	.	.	PUNCT
ajird-1499	199	1	27,70	27,70	ADJ
ajird-1499	199	2	1,90	1,90	NUM
ajird-1499	199	3	8,90000	8,90000	NUM
ajird-1499	199	4	-17,90000	-17,90000	INTJ
ajird-1499	199	5	-9,42105	-9,42105	PROPN
ajird-1499	199	6	31	31	NUM
ajird-1499	199	7	.	.	PUNCT
ajird-1499	200	1	36,60	36,60	NOUN
ajird-1499	200	2	10,80	10,80	NUM
ajird-1499	200	3	-9,00000	-9,00000	PROPN
ajird-1499	200	4	32	32	NUM
ajird-1499	200	5	.	.	PUNCT
ajird-1499	201	1	27,60	27,60	NUM
ajird-1499	201	2	1,80	1,80	NUM
ajird-1499	201	3	аverage	аverage	NOUN
ajird-1499	201	4	-0,27805	-0,27805	PROPN
ajird-1499	201	5	ω	ω	PROPN
ajird-1499	201	6	0,52730	0,52730	PROPN
ajird-1499	201	7	т	т	X
ajird-1499	201	8	11,90963	11,90963	NUM
ajird-1499	201	9	in	in	ADP
ajird-1499	201	10	table	table	NOUN
ajird-1499	201	11	№	№	ADP
ajird-1499	201	12	3	3	NUM
ajird-1499	201	13	,	,	PUNCT
ajird-1499	201	14	the	the	DET
ajird-1499	201	15	necessary	necessary	ADJ
ajird-1499	201	16	calculations	calculation	NOUN
ajird-1499	201	17	and	and	CCONJ
ajird-1499	201	18	data	datum	NOUN
ajird-1499	201	19	are	be	AUX
ajird-1499	201	20	provided	provide	VERB
ajird-1499	201	21	,	,	PUNCT
ajird-1499	201	22	based	base	VERB
ajird-1499	201	23	on	on	ADP
ajird-1499	201	24	which	which	PRON
ajird-1499	201	25	the	the	DET
ajird-1499	201	26	existence	existence	NOUN
ajird-1499	201	27	of	of	ADP
ajird-1499	201	28	oscillation	oscillation	NOUN
ajird-1499	201	29	cycles	cycle	NOUN
ajird-1499	201	30	of	of	ADP
ajird-1499	201	31	cotton	cotton	NOUN
ajird-1499	201	32	yield	yield	NOUN
ajird-1499	201	33	is	be	AUX
ajird-1499	201	34	determined	determine	VERB
ajird-1499	201	35	for	for	ADP
ajird-1499	201	36	the	the	DET
ajird-1499	201	37	bukhara	bukhara	PROPN
ajird-1499	201	38	region	region	PROPN
ajird-1499	201	39	of	of	ADP
ajird-1499	201	40	the	the	DET
ajird-1499	201	41	republic	republic	NOUN
ajird-1499	201	42	of	of	ADP
ajird-1499	201	43	uzbekistan	uzbekistan	PROPN
ajird-1499	201	44	.	.	PUNCT
ajird-1499	202	1	the	the	DET
ajird-1499	202	2	second	second	ADJ
ajird-1499	202	3	column	column	NOUN
ajird-1499	202	4	contains	contain	VERB
ajird-1499	202	5	data	datum	NOUN
ajird-1499	202	6	on	on	ADP
ajird-1499	202	7	cotton	cotton	NOUN
ajird-1499	202	8	yield	yield	NOUN
ajird-1499	202	9	for	for	ADP
ajird-1499	202	10	the	the	DET
ajird-1499	202	11	period	period	NOUN
ajird-1499	202	12	from	from	ADP
ajird-1499	202	13	1991	1991	NUM
ajird-1499	202	14	to	to	ADP
ajird-1499	202	15	2023	2023	NUM
ajird-1499	202	16	.	.	PUNCT
ajird-1499	203	1	in	in	ADP
ajird-1499	203	2	the	the	DET
ajird-1499	203	3	third	third	ADJ
ajird-1499	203	4	column	column	NOUN
ajird-1499	203	5	,	,	PUNCT
ajird-1499	203	6	the	the	DET
ajird-1499	203	7	data	data	NOUN
ajird-1499	203	8	is	be	AUX
ajird-1499	203	9	normalized	normalize	VERB
ajird-1499	203	10	as	as	ADP
ajird-1499	203	11	ki	ki	PROPN
ajird-1499	203	12	=	=	PROPN
ajird-1499	203	13	yi	yi	PROPN
ajird-1499	203	14	̶	̶	PROPN
ajird-1499	203	15	ymin=	ymin=	NUM
ajird-1499	203	16	yi	yi	PROPN
ajird-1499	203	17	̶	̶	PROPN
ajird-1499	203	18	25,8	25,8	NUM
ajird-1499	203	19	.	.	PUNCT
ajird-1499	204	1	the	the	DET
ajird-1499	204	2	fourth	fourth	ADJ
ajird-1499	204	3	and	and	CCONJ
ajird-1499	204	4	fifth	fifth	ADJ
ajird-1499	204	5	columns	column	NOUN
ajird-1499	204	6	show	show	VERB
ajird-1499	204	7	the	the	DET
ajird-1499	204	8	data	datum	NOUN
ajird-1499	204	9	∆к𝑖	∆к𝑖	NOUN
ajird-1499	204	10	∆𝑡𝑖	∆𝑡𝑖	NOUN
ajird-1499	204	11	and	and	CCONJ
ajird-1499	204	12	∆2к𝑖	∆2к𝑖	ADJ
ajird-1499	204	13	∆𝑡𝑖	∆𝑡𝑖	NOUN
ajird-1499	204	14	2	2	NUM
ajird-1499	204	15	,	,	PUNCT
ajird-1499	204	16	respectively	respectively	ADV
ajird-1499	204	17	.	.	PUNCT
ajird-1499	205	1	and	and	CCONJ
ajird-1499	205	2	the	the	DET
ajird-1499	205	3	last	last	ADJ
ajird-1499	205	4	column	column	NOUN
ajird-1499	205	5	presents	present	VERB
ajird-1499	205	6	the	the	DET
ajird-1499	205	7	value	value	NOUN
ajird-1499	205	8	𝜔2	𝜔2	NOUN
ajird-1499	205	9	=	=	PUNCT
ajird-1499	205	10	∆к2	∆к2	PROPN
ajird-1499	205	11	∆𝑡2	∆𝑡2	PROPN
ajird-1499	205	12	/𝑦.	/𝑦.	PROPN
ajird-1499	205	13	in	in	ADP
ajird-1499	205	14	table	table	NOUN
ajird-1499	205	15	№	№	ADP
ajird-1499	205	16	3	3	NUM
ajird-1499	205	17	,	,	PUNCT
ajird-1499	205	18	85	85	NUM
ajird-1499	205	19	%	%	NOUN
ajird-1499	205	20	of	of	ADP
ajird-1499	205	21	the	the	DET
ajird-1499	205	22	data	datum	NOUN
ajird-1499	205	23	are	be	AUX
ajird-1499	205	24	always	always	ADV
ajird-1499	205	25	less	less	ADJ
ajird-1499	205	26	than	than	ADP
ajird-1499	205	27	one	one	NUM
ajird-1499	205	28	in	in	ADP
ajird-1499	205	29	absolute	absolute	ADJ
ajird-1499	205	30	value	value	NOUN
ajird-1499	205	31	.	.	PUNCT
ajird-1499	206	1	therefore	therefore	ADV
ajird-1499	206	2	,	,	PUNCT
ajird-1499	206	3	the	the	DET
ajird-1499	206	4	average	average	ADJ
ajird-1499	206	5	value	value	NOUN
ajird-1499	206	6	of	of	ADP
ajird-1499	206	7	|𝜔𝑖	|𝜔𝑖	PRON
ajird-1499	206	8	2|	2|	PROPN
ajird-1499	206	9	is	be	AUX
ajird-1499	206	10	taken	take	VERB
ajird-1499	206	11	as	as	ADP
ajird-1499	206	12	|𝜔𝑖	|𝜔𝑖	X
ajird-1499	206	13	2|	2|	NUM
ajird-1499	206	14	=	=	SYM
ajird-1499	206	15	0,27805	0,27805	PROPN
ajird-1499	206	16	and	and	CCONJ
ajird-1499	206	17	ω=0,5273	ω=0,5273	PROPN
ajird-1499	206	18	.	.	PUNCT
ajird-1499	207	1	since	since	SCONJ
ajird-1499	207	2	2𝜋	2𝜋	NUM
ajird-1499	207	3	т	т	X
ajird-1499	207	4	=	=	SYM
ajird-1499	207	5	𝜔	𝜔	PROPN
ajird-1499	207	6	,	,	PUNCT
ajird-1499	207	7	in	in	ADP
ajird-1499	207	8	this	this	DET
ajird-1499	207	9	case	case	NOUN
ajird-1499	207	10	,	,	PUNCT
ajird-1499	207	11	we	we	PRON
ajird-1499	207	12	find	find	VERB
ajird-1499	207	13	that	that	SCONJ
ajird-1499	207	14	т	т	X
ajird-1499	207	15	=	=	SYM
ajird-1499	207	16	2𝜋	2𝜋	NUM
ajird-1499	207	17	𝜔	𝜔	PART
ajird-1499	207	18	=	=	SYM
ajird-1499	207	19	6,28	6,28	NUM
ajird-1499	207	20	0,5273	0,5273	NUM
ajird-1499	207	21	=	=	NOUN
ajird-1499	207	22	11,9	11,9	NUM
ajird-1499	207	23	.	.	PUNCT
ajird-1499	208	1	in	in	ADP
ajird-1499	208	2	works	work	NOUN
ajird-1499	208	3	dedicated	dedicate	VERB
ajird-1499	208	4	to	to	ADP
ajird-1499	208	5	determining	determine	VERB
ajird-1499	208	6	the	the	DET
ajird-1499	208	7	oscillation	oscillation	NOUN
ajird-1499	208	8	cycles	cycle	NOUN
ajird-1499	208	9	of	of	ADP
ajird-1499	208	10	agricultural	agricultural	ADJ
ajird-1499	208	11	crop	crop	NOUN
ajird-1499	208	12	yields	yield	NOUN
ajird-1499	208	13	,	,	PUNCT
ajird-1499	208	14	cycles	cycle	NOUN
ajird-1499	208	15	are	be	AUX
ajird-1499	208	16	determined	determine	VERB
ajird-1499	208	17	by	by	ADP
ajird-1499	208	18	comparing	compare	VERB
ajird-1499	208	19	a	a	DET
ajird-1499	208	20	large	large	ADJ
ajird-1499	208	21	amount	amount	NOUN
ajird-1499	208	22	of	of	ADP
ajird-1499	208	23	data	datum	NOUN
ajird-1499	208	24	over	over	ADP
ajird-1499	208	25	an	an	DET
ajird-1499	208	26	extended	extended	ADJ
ajird-1499	208	27	period	period	NOUN
ajird-1499	208	28	of	of	ADP
ajird-1499	208	29	time	time	NOUN
ajird-1499	208	30	.	.	PUNCT
ajird-1499	209	1	however	however	ADV
ajird-1499	209	2	,	,	PUNCT
ajird-1499	209	3	using	use	VERB
ajird-1499	209	4	the	the	DET
ajird-1499	209	5	proposed	propose	VERB
ajird-1499	209	6	method	method	NOUN
ajird-1499	209	7	,	,	PUNCT
ajird-1499	209	8	it	it	PRON
ajird-1499	209	9	is	be	AUX
ajird-1499	209	10	possible	possible	ADJ
ajird-1499	209	11	to	to	PART
ajird-1499	209	12	quickly	quickly	ADV
ajird-1499	209	13	determine	determine	VERB
ajird-1499	209	14	the	the	DET
ajird-1499	209	15	cyclicity	cyclicity	NOUN
ajird-1499	209	16	of	of	ADP
ajird-1499	209	17	the	the	DET
ajird-1499	209	18	process	process	NOUN
ajird-1499	209	19	,	,	PUNCT
ajird-1499	209	20	even	even	ADV
ajird-1499	209	21	with	with	ADP
ajird-1499	209	22	minimal	minimal	ADJ
ajird-1499	209	23	observations	observation	NOUN
ajird-1499	209	24	.	.	PUNCT
ajird-1499	210	1	the	the	DET
ajird-1499	210	2	period	period	NOUN
ajird-1499	210	3	т	т	PROPN
ajird-1499	210	4	and	and	CCONJ
ajird-1499	210	5	the	the	DET
ajird-1499	210	6	amplitude	amplitude	NOUN
ajird-1499	210	7	of	of	ADP
ajird-1499	210	8	oscillation	oscillation	NOUN
ajird-1499	210	9	а	а	PROPN
ajird-1499	210	10	can	can	AUX
ajird-1499	210	11	also	also	ADV
ajird-1499	210	12	be	be	AUX
ajird-1499	210	13	determined	determine	VERB
ajird-1499	210	14	.	.	PUNCT
ajird-1499	211	1	american	american	ADJ
ajird-1499	211	2	journal	journal	PROPN
ajird-1499	211	3	of	of	ADP
ajird-1499	211	4	interdisciplinary	interdisciplinary	ADJ
ajird-1499	211	5	research	research	NOUN
ajird-1499	211	6	and	and	CCONJ
ajird-1499	211	7	development	development	NOUN
ajird-1499	211	8	issn	issn	PROPN
ajird-1499	211	9	online	online	NOUN
ajird-1499	211	10	:	:	PUNCT
ajird-1499	211	11	2771	2771	NUM
ajird-1499	211	12	-	-	SYM
ajird-1499	211	13	8948	8948	NUM
ajird-1499	211	14	website	website	NOUN
ajird-1499	211	15	:	:	PUNCT
ajird-1499	211	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	211	17	volume	volume	NOUN
ajird-1499	211	18	38	38	NUM
ajird-1499	211	19	,	,	PUNCT
ajird-1499	211	20	march	march	PROPN
ajird-1499	211	21	2025	2025	NUM
ajird-1499	211	22	75	75	NUM
ajird-1499	212	1	|	|	ADV
ajird-1499	212	2	p	p	X
ajird-1499	212	3	a	a	DET
ajird-1499	212	4	g	g	NOUN
ajird-1499	212	5	e	e	NOUN
ajird-1499	212	6	based	base	VERB
ajird-1499	212	7	on	on	ADP
ajird-1499	212	8	simple	simple	ADJ
ajird-1499	212	9	mathematical	mathematical	ADJ
ajird-1499	212	10	calculations	calculation	NOUN
ajird-1499	212	11	,	,	PUNCT
ajird-1499	212	12	the	the	DET
ajird-1499	212	13	amplitudes	amplitude	NOUN
ajird-1499	212	14	of	of	ADP
ajird-1499	212	15	oscillation	oscillation	NOUN
ajird-1499	212	16	can	can	AUX
ajird-1499	212	17	be	be	AUX
ajird-1499	212	18	determined	determine	VERB
ajird-1499	212	19	.	.	PUNCT
ajird-1499	213	1	as	as	SCONJ
ajird-1499	213	2	is	be	AUX
ajird-1499	213	3	known	know	VERB
ajird-1499	213	4	,	,	PUNCT
ajird-1499	213	5	а	а	PROPN
ajird-1499	213	6	and	and	CCONJ
ajird-1499	213	7	в	в	PROPN
ajird-1499	213	8	are	be	AUX
ajird-1499	213	9	determined	determine	VERB
ajird-1499	213	10	taking	take	VERB
ajird-1499	213	11	into	into	ADP
ajird-1499	213	12	account	account	NOUN
ajird-1499	213	13	the	the	DET
ajird-1499	213	14	initial	initial	ADJ
ajird-1499	213	15	conditions	condition	NOUN
ajird-1499	213	16	.	.	PUNCT
ajird-1499	214	1	therefore	therefore	ADV
ajird-1499	214	2	,	,	PUNCT
ajird-1499	214	3	we	we	PRON
ajird-1499	214	4	have	have	VERB
ajird-1499	214	5	:	:	PUNCT
ajird-1499	214	6	{	{	PUNCT
ajird-1499	214	7	𝑦	𝑦	X
ajird-1499	214	8	=	=	SYM
ajird-1499	214	9	𝐴𝑠𝑖𝑛𝜔𝑡	𝐴𝑠𝑖𝑛𝜔𝑡	PROPN
ajird-1499	214	10	+	+	CCONJ
ajird-1499	214	11	𝐵𝑐𝑜𝑠𝜔𝑡	𝐵𝑐𝑜𝑠𝜔𝑡	PROPN
ajird-1499	214	12	𝑦′	𝑦′	X
ajird-1499	214	13	=	=	SYM
ajird-1499	214	14	𝐴𝜔𝑠𝑖𝑛𝜔𝑡	𝐴𝜔𝑠𝑖𝑛𝜔𝑡	PROPN
ajird-1499	214	15	−	−	PROPN
ajird-1499	214	16	𝐵𝜔𝑐𝑜𝑠𝜔𝑡	𝐵𝜔𝑐𝑜𝑠𝜔𝑡	PROPN
ajird-1499	214	17	based	base	VERB
ajird-1499	214	18	on	on	ADP
ajird-1499	214	19	the	the	DET
ajird-1499	214	20	initial	initial	ADJ
ajird-1499	214	21	conditions	condition	NOUN
ajird-1499	214	22	,	,	PUNCT
ajird-1499	214	23	we	we	PRON
ajird-1499	214	24	have	have	VERB
ajird-1499	214	25	:	:	PUNCT
ajird-1499	214	26	{	{	PUNCT
ajird-1499	214	27	8	8	NUM
ajird-1499	214	28	=	=	SYM
ajird-1499	214	29	0,48а	0,48а	PUNCT
ajird-1499	215	1	+	+	NUM
ajird-1499	215	2	0,88	0,88	NOUN
ajird-1499	215	3	𝐵	𝐵	NOUN
ajird-1499	215	4	−2	−2	NOUN
ajird-1499	215	5	=	=	SYM
ajird-1499	215	6	0,52	0,52	NOUN
ajird-1499	215	7	∗	∗	NOUN
ajird-1499	215	8	0,88𝐴	0,88𝐴	NUM
ajird-1499	216	1	−	−	NOUN
ajird-1499	216	2	0,52	0,52	NOUN
ajird-1499	216	3	∗	∗	NOUN
ajird-1499	216	4	0,48	0,48	NUM
ajird-1499	216	5	𝐵	𝐵	NOUN
ajird-1499	216	6	{	{	PUNCT
ajird-1499	216	7	−2	−2	PROPN
ajird-1499	216	8	=	=	SYM
ajird-1499	216	9	0,45𝐴	0,45𝐴	PROPN
ajird-1499	217	1	−	−	NUM
ajird-1499	217	2	0,23𝐵	0,23𝐵	NUM
ajird-1499	217	3	8	8	NUM
ajird-1499	217	4	=	=	SYM
ajird-1499	217	5	0,48𝐴	0,48𝐴	PROPN
ajird-1499	218	1	+	+	CCONJ
ajird-1499	218	2	0,88𝐵	0,88𝐵	NUM
ajird-1499	218	3	{	{	PUNCT
ajird-1499	218	4	−4,44	−4,44	PROPN
ajird-1499	218	5	=	=	PROPN
ajird-1499	218	6	𝐴	𝐴	PROPN
ajird-1499	218	7	−	−	PROPN
ajird-1499	218	8	0,5𝐵	0,5𝐵	PUNCT
ajird-1499	219	1	16,6	16,6	PROPN
ajird-1499	219	2	=	=	PUNCT
ajird-1499	219	3	𝐴	𝐴	PROPN
ajird-1499	219	4	+	+	CCONJ
ajird-1499	219	5	1,83	1,83	PROPN
ajird-1499	219	6	𝐵	𝐵	NOUN
ajird-1499	219	7	21,04	21,04	NOUN
ajird-1499	219	8	=	=	SYM
ajird-1499	219	9	0	0	PUNCT
ajird-1499	220	1	+	+	NUM
ajird-1499	220	2	2,33b	2,33b	NUM
ajird-1499	220	3	b=9	b=9	VERB
ajird-1499	220	4	a=-4,44	a=-4,44	PUNCT
ajird-1499	220	5	+	+	NOUN
ajird-1499	220	6	0,5b=-4,44	0,5b=-4,44	NUM
ajird-1499	220	7	+	+	ADJ
ajird-1499	220	8	4,5≈0	4,5≈0	PROPN
ajird-1499	220	9	,	,	PUNCT
ajird-1499	220	10	so	so	ADV
ajird-1499	220	11	b=9	b=9	PROPN
ajird-1499	220	12	;	;	PUNCT
ajird-1499	220	13	а=0	а=0	PROPN
ajird-1499	220	14	.	.	PUNCT
ajird-1499	221	1	therefore	therefore	ADV
ajird-1499	221	2	,	,	PUNCT
ajird-1499	221	3	y=9cos	y=9cos	PROPN
ajird-1499	221	4	0,51	0,51	PROPN
ajird-1499	221	5	t	t	PROPN
ajird-1499	221	6	therefore	therefore	ADV
ajird-1499	221	7	,	,	PUNCT
ajird-1499	221	8	the	the	DET
ajird-1499	221	9	oscillatory	oscillatory	ADJ
ajird-1499	221	10	process	process	NOUN
ajird-1499	221	11	has	have	VERB
ajird-1499	221	12	the	the	DET
ajird-1499	221	13	following	follow	VERB
ajird-1499	221	14	form	form	NOUN
ajird-1499	221	15	:	:	PUNCT
ajird-1499	221	16	𝑦	𝑦	NOUN
ajird-1499	221	17	=	=	PUNCT
ajird-1499	221	18	𝑓(𝑡	𝑓(𝑡	PROPN
ajird-1499	221	19	)	)	PUNCT
ajird-1499	221	20	+	+	PUNCT
ajird-1499	221	21	𝐸(𝑡	𝐸(𝑡	VERB
ajird-1499	221	22	)	)	PUNCT
ajird-1499	221	23	,	,	PUNCT
ajird-1499	221	24	where	where	SCONJ
ajird-1499	221	25	f(t	f(t	NOUN
ajird-1499	221	26	)	)	PUNCT
ajird-1499	221	27	shows	show	VERB
ajird-1499	221	28	the	the	DET
ajird-1499	221	29	general	general	ADJ
ajird-1499	221	30	trend	trend	NOUN
ajird-1499	221	31	of	of	ADP
ajird-1499	221	32	yield	yield	NOUN
ajird-1499	221	33	growth	growth	NOUN
ajird-1499	221	34	,	,	PUNCT
ajird-1499	221	35	and	and	CCONJ
ajird-1499	221	36	e(t	e(t	PROPN
ajird-1499	221	37	represents	represent	VERB
ajird-1499	221	38	the	the	DET
ajird-1499	221	39	influence	influence	NOUN
ajird-1499	221	40	of	of	ADP
ajird-1499	221	41	the	the	DET
ajird-1499	221	42	external	external	ADJ
ajird-1499	221	43	environment	environment	NOUN
ajird-1499	221	44	(	(	PUNCT
ajird-1499	221	45	noise	noise	NOUN
ajird-1499	221	46	)	)	PUNCT
ajird-1499	221	47	.	.	PUNCT
ajird-1499	222	1	in	in	ADP
ajird-1499	222	2	our	our	PRON
ajird-1499	222	3	case	case	NOUN
ajird-1499	222	4	,	,	PUNCT
ajird-1499	222	5	𝐸(𝑡	𝐸(𝑡	NUM
ajird-1499	222	6	)	)	PUNCT
ajird-1499	222	7	=	=	SYM
ajird-1499	222	8	𝐴𝑐𝑜𝑠	𝐴𝑐𝑜𝑠	PROPN
ajird-1499	222	9	2𝜋𝑡	2𝜋𝑡	NOUN
ajird-1499	222	10	𝑇	𝑇	PROPN
ajird-1499	222	11	=	=	NOUN
ajird-1499	222	12	4,4cos	4,4cos	NUM
ajird-1499	222	13	2𝜋𝑡	2𝜋𝑡	NOUN
ajird-1499	222	14	12	12	NUM
ajird-1499	222	15	;	;	PUNCT
ajird-1499	222	16	f(t)=0.0122t2	f(t)=0.0122t2	PROPN
ajird-1499	222	17	̶	̶	PROPN
ajird-1499	222	18	0.4328t+33,246	0.4328t+33,246	NUM
ajird-1499	222	19	,	,	PUNCT
ajird-1499	222	20	so	so	ADV
ajird-1499	222	21	y=0.0122t2	y=0.0122t2	PROPN
ajird-1499	222	22	̶	̶	PROPN
ajird-1499	222	23	0.4328t+33,246	0.4328t+33,246	PROPN
ajird-1499	222	24	+	+	ADJ
ajird-1499	222	25	9cos	9cos	NUM
ajird-1499	222	26	2𝜋𝑡	2𝜋𝑡	NOUN
ajird-1499	222	27	12	12	NUM
ajird-1499	222	28	.	.	PUNCT
ajird-1499	223	1	тable	тable	ADJ
ajird-1499	223	2	№	№	ADP
ajird-1499	223	3	4	4	NUM
ajird-1499	223	4	comparison	comparison	NOUN
ajird-1499	223	5	of	of	ADP
ajird-1499	223	6	actual	actual	ADJ
ajird-1499	223	7	and	and	CCONJ
ajird-1499	223	8	calculated	calculate	VERB
ajird-1499	223	9	cotton	cotton	NOUN
ajird-1499	223	10	yield	yield	NOUN
ajird-1499	223	11	values	value	NOUN
ajird-1499	223	12	,	,	PUNCT
ajird-1499	223	13	taking	take	VERB
ajird-1499	223	14	into	into	ADP
ajird-1499	223	15	account	account	NOUN
ajird-1499	223	16	the	the	DET
ajird-1499	223	17	cyclic	cyclic	ADJ
ajird-1499	223	18	oscillations	oscillation	NOUN
ajird-1499	223	19	.	.	PUNCT
ajird-1499	224	1	years1991	years1991	PROPN
ajird-1499	224	2	1992	1992	NUM
ajird-1499	224	3	1993	1993	NUM
ajird-1499	224	4	1994	1994	NUM
ajird-1499	224	5	1995	1995	NUM
ajird-1499	224	6	1996	1996	NUM
ajird-1499	224	7	1997	1997	NUM
ajird-1499	224	8	1998	1998	NUM
ajird-1499	224	9	1999	1999	NUM
ajird-1499	224	10	2000	2000	NUM
ajird-1499	224	11	2001	2001	NUM
ajird-1499	224	12	ya	ya	PROPN
ajird-1499	224	13	34,0	34,0	NUM
ajird-1499	224	14	32,0	32,0	NUM
ajird-1499	224	15	34,9	34,9	NUM
ajird-1499	224	16	32,2	32,2	NUM
ajird-1499	224	17	33,4	33,4	ADJ
ajird-1499	224	18	28,6	28,6	NUM
ajird-1499	224	19	29,3	29,3	NUM
ajird-1499	224	20	29,5	29,5	NUM
ajird-1499	224	21	31,3	31,3	NUM
ajird-1499	224	22	27,3	27,3	NUM
ajird-1499	225	1	27,1	27,1	NUM
ajird-1499	225	2	yc	yc	NOUN
ajird-1499	225	3	34,7	34,7	NOUN
ajird-1499	225	4	31,3	31,3	ADJ
ajird-1499	226	1	33,9	33,9	ADJ
ajird-1499	226	2	30,6	30,6	NUM
ajird-1499	226	3	33,2	33,2	NUM
ajird-1499	226	4	29,9	29,9	NOUN
ajird-1499	226	5	32,6	32,6	PROPN
ajird-1499	227	1	29,3	29,3	NUM
ajird-1499	227	2	32,1	32,1	NUM
ajird-1499	227	3	28,8	28,8	NUM
ajird-1499	227	4	31,6	31,6	NUM
ajird-1499	227	5	ya	ya	PRON
ajird-1499	227	6	yc	yc	NOUN
ajird-1499	227	7	-0,7	-0,7	NUM
ajird-1499	227	8	0,7	0,7	NUM
ajird-1499	227	9	1,0	1,0	NUM
ajird-1499	227	10	1,6	1,6	NUM
ajird-1499	227	11	0,2	0,2	NUM
ajird-1499	227	12	-1,3	-1,3	PUNCT
ajird-1499	227	13	-3,3	-3,3	NOUN
ajird-1499	227	14	0,2	0,2	NUM
ajird-1499	227	15	-0,8	-0,8	INTJ
ajird-1499	227	16	-1,5	-1,5	PROPN
ajird-1499	227	17	-4,5	-4,5	NOUN
ajird-1499	227	18	years	year	NOUN
ajird-1499	227	19	2002	2002	NUM
ajird-1499	227	20	2003	2003	NUM
ajird-1499	227	21	2004	2004	NUM
ajird-1499	227	22	2005	2005	NUM
ajird-1499	227	23	2006	2006	NUM
ajird-1499	227	24	2007	2007	NUM
ajird-1499	227	25	2008	2008	NUM
ajird-1499	227	26	2009	2009	NUM
ajird-1499	227	27	2010	2010	NUM
ajird-1499	227	28	2011	2011	NUM
ajird-1499	227	29	ya	ya	PRON
ajird-1499	227	30	28,2	28,2	VERB
ajird-1499	227	31	29,3	29,3	NOUN
ajird-1499	228	1	30,6	30,6	NUM
ajird-1499	228	2	30,9	30,9	NUM
ajird-1499	228	3	29,4	29,4	NUM
ajird-1499	228	4	30,3	30,3	NUM
ajird-1499	228	5	25,8	25,8	NUM
ajird-1499	229	1	28,6	28,6	NUM
ajird-1499	229	2	31,0	31,0	NUM
ajird-1499	229	3	32,6	32,6	NUM
ajird-1499	229	4	yc	yc	NOUN
ajird-1499	229	5	28,5	28,5	NUM
ajird-1499	229	6	31,3	31,3	NUM
ajird-1499	229	7	28,2	28,2	NUM
ajird-1499	229	8	31,1	31,1	NUM
ajird-1499	229	9	28	28	NUM
ajird-1499	230	1	30,9	30,9	NUM
ajird-1499	230	2	27,9	27,9	NUM
ajird-1499	230	3	30,9	30,9	NUM
ajird-1499	230	4	27,9	27,9	NUM
ajird-1499	230	5	31	31	NUM
ajird-1499	230	6	ya	ya	PRON
ajird-1499	231	1	yc	yc	INTJ
ajird-1499	231	2	-0,3	-0,3	INTJ
ajird-1499	231	3	-2,0	-2,0	PROPN
ajird-1499	231	4	2,4	2,4	NUM
ajird-1499	231	5	-0,2	-0,2	NUM
ajird-1499	231	6	1,4	1,4	NUM
ajird-1499	231	7	-0,7	-0,7	NUM
ajird-1499	231	8	-2,1	-2,1	PUNCT
ajird-1499	231	9	-2,3	-2,3	PUNCT
ajird-1499	232	1	3,1	3,1	NUM
ajird-1499	232	2	1,6	1,6	NUM
ajird-1499	232	3	american	american	ADJ
ajird-1499	232	4	journal	journal	PROPN
ajird-1499	232	5	of	of	ADP
ajird-1499	232	6	interdisciplinary	interdisciplinary	ADJ
ajird-1499	232	7	research	research	NOUN
ajird-1499	232	8	and	and	CCONJ
ajird-1499	232	9	development	development	NOUN
ajird-1499	232	10	issn	issn	PROPN
ajird-1499	232	11	online	online	NOUN
ajird-1499	232	12	:	:	PUNCT
ajird-1499	232	13	2771	2771	NUM
ajird-1499	232	14	-	-	SYM
ajird-1499	232	15	8948	8948	NUM
ajird-1499	232	16	website	website	NOUN
ajird-1499	232	17	:	:	PUNCT
ajird-1499	232	18	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	232	19	volume	volume	NOUN
ajird-1499	232	20	38	38	NUM
ajird-1499	232	21	,	,	PUNCT
ajird-1499	232	22	march	march	PROPN
ajird-1499	232	23	2025	2025	NUM
ajird-1499	232	24	76	76	NUM
ajird-1499	232	25	|	|	ADV
ajird-1499	232	26	p	p	NOUN
ajird-1499	232	27	a	a	DET
ajird-1499	232	28	g	g	NOUN
ajird-1499	232	29	e	e	NOUN
ajird-1499	232	30	years	year	NOUN
ajird-1499	232	31	2012	2012	NUM
ajird-1499	232	32	2013	2013	NUM
ajird-1499	232	33	2014	2014	NUM
ajird-1499	232	34	2015	2015	NUM
ajird-1499	232	35	2016	2016	NUM
ajird-1499	232	36	2017	2017	NUM
ajird-1499	232	37	2018	2018	NUM
ajird-1499	232	38	2019	2019	NUM
ajird-1499	232	39	2020	2020	NUM
ajird-1499	232	40	2021	2021	NUM
ajird-1499	232	41	2022	2022	NUM
ajird-1499	232	42	2023	2023	NUM
ajird-1499	232	43	ya	ya	PRON
ajird-1499	233	1	31,5	31,5	NUM
ajird-1499	233	2	31,4	31,4	NOUN
ajird-1499	233	3	31,3	31,3	ADJ
ajird-1499	233	4	32,6	32,6	NUM
ajird-1499	233	5	30,2	30,2	NUM
ajird-1499	234	1	29,3	29,3	NUM
ajird-1499	234	2	28,3	28,3	NUM
ajird-1499	234	3	30,1	30,1	NOUN
ajird-1499	234	4	27,7	27,7	ADJ
ajird-1499	234	5	33,7	33,7	NUM
ajird-1499	234	6	36,6	36,6	NUM
ajird-1499	234	7	27,6	27,6	NOUN
ajird-1499	234	8	yc	yc	NOUN
ajird-1499	234	9	28	28	NUM
ajird-1499	234	10	31,1	31,1	NOUN
ajird-1499	234	11	28,2	28,2	NOUN
ajird-1499	235	1	31,4	31,4	ADV
ajird-1499	235	2	28,5	28,5	NUM
ajird-1499	235	3	31,7	31,7	NUM
ajird-1499	235	4	28,9	28,9	NUM
ajird-1499	236	1	32,2	32,2	NUM
ajird-1499	236	2	29,5	29,5	NUM
ajird-1499	236	3	32,7	32,7	NUM
ajird-1499	236	4	30	30	NUM
ajird-1499	236	5	33,4	33,4	NUM
ajird-1499	236	6	ya	ya	PRON
ajird-1499	236	7	yc	yc	ADP
ajird-1499	236	8	3,5	3,5	NUM
ajird-1499	236	9	0,3	0,3	NUM
ajird-1499	236	10	3,1	3,1	NUM
ajird-1499	236	11	1,2	1,2	NUM
ajird-1499	236	12	1,7	1,7	NUM
ajird-1499	236	13	-2,4	-2,4	PROPN
ajird-1499	236	14	-0,6	-0,6	INTJ
ajird-1499	237	1	-2,1	-2,1	PUNCT
ajird-1499	237	2	-1,8	-1,8	PUNCT
ajird-1499	238	1	1,0	1,0	NUM
ajird-1499	238	2	6,6	6,6	NUM
ajird-1499	238	3	-5,8	-5,8	PUNCT
ajird-1499	238	4	let	let	VERB
ajird-1499	238	5	's	us	PRON
ajird-1499	238	6	consider	consider	VERB
ajird-1499	238	7	the	the	DET
ajird-1499	238	8	actual	actual	ADJ
ajird-1499	238	9	and	and	CCONJ
ajird-1499	238	10	calculated	calculate	VERB
ajird-1499	238	11	cotton	cotton	NOUN
ajird-1499	238	12	yield	yield	NOUN
ajird-1499	238	13	values	value	NOUN
ajird-1499	238	14	on	on	ADP
ajird-1499	238	15	the	the	DET
ajird-1499	238	16	graph	graph	NOUN
ajird-1499	238	17	.	.	PUNCT
ajird-1499	239	1	figure	figure	NOUN
ajird-1499	239	2	2	2	NUM
ajird-1499	239	3	.	.	PUNCT
ajird-1499	239	4	graphical	graphical	ADJ
ajird-1499	239	5	comparison	comparison	NOUN
ajird-1499	239	6	of	of	ADP
ajird-1499	239	7	actual	actual	ADJ
ajird-1499	239	8	and	and	CCONJ
ajird-1499	239	9	calculated	calculate	VERB
ajird-1499	239	10	cotton	cotton	NOUN
ajird-1499	239	11	yield	yield	NOUN
ajird-1499	239	12	values	value	NOUN
ajird-1499	239	13	in	in	ADP
ajird-1499	239	14	the	the	DET
ajird-1499	239	15	bukhara	bukhara	PROPN
ajird-1499	239	16	region	region	PROPN
ajird-1499	239	17	.	.	PUNCT
ajird-1499	240	1	figure	figure	VERB
ajird-1499	240	2	3	3	NUM
ajird-1499	240	3	.	.	PUNCT
ajird-1499	240	4	graphical	graphical	ADJ
ajird-1499	240	5	forecast	forecast	NOUN
ajird-1499	240	6	of	of	ADP
ajird-1499	240	7	cotton	cotton	NOUN
ajird-1499	240	8	yield	yield	NOUN
ajird-1499	240	9	considering	consider	VERB
ajird-1499	240	10	fluctuations	fluctuation	NOUN
ajird-1499	240	11	.	.	PUNCT
ajird-1499	241	1	1	1	NUM
ajird-1499	241	2	2	2	NUM
ajird-1499	241	3	3	3	NUM
ajird-1499	241	4	4	4	NUM
ajird-1499	241	5	5	5	NUM
ajird-1499	241	6	6	6	NUM
ajird-1499	241	7	7	7	NUM
ajird-1499	241	8	8	8	NUM
ajird-1499	241	9	9	9	NUM
ajird-1499	241	10	10	10	NUM
ajird-1499	241	11	11	11	NUM
ajird-1499	241	12	12	12	NUM
ajird-1499	241	13	13	13	NUM
ajird-1499	241	14	14	14	NUM
ajird-1499	241	15	15	15	NUM
ajird-1499	241	16	16	16	NUM
ajird-1499	241	17	17	17	NUM
ajird-1499	241	18	18	18	NUM
ajird-1499	241	19	19	19	NUM
ajird-1499	241	20	20	20	NUM
ajird-1499	241	21	21	21	NUM
ajird-1499	241	22	22	22	NUM
ajird-1499	241	23	23	23	NUM
ajird-1499	241	24	24	24	NUM
ajird-1499	241	25	25	25	NUM
ajird-1499	241	26	26	26	NUM
ajird-1499	241	27	27	27	NUM
ajird-1499	241	28	28	28	NUM
ajird-1499	241	29	29	29	NUM
ajird-1499	241	30	30	30	NUM
ajird-1499	241	31	31	31	NUM
ajird-1499	241	32	32	32	NUM
ajird-1499	241	33	33	33	NUM
ajird-1499	241	34	уф	уф	ADP
ajird-1499	241	35	34	34	NUM
ajird-1499	241	36	32	32	NUM
ajird-1499	241	37	34	34	NUM
ajird-1499	241	38	32	32	NUM
ajird-1499	241	39	33	33	NUM
ajird-1499	241	40	28	28	NUM
ajird-1499	241	41	29	29	NUM
ajird-1499	241	42	29	29	NUM
ajird-1499	241	43	31	31	NUM
ajird-1499	241	44	27	27	NUM
ajird-1499	241	45	27	27	NUM
ajird-1499	241	46	28	28	NUM
ajird-1499	241	47	29	29	NUM
ajird-1499	241	48	30	30	NUM
ajird-1499	241	49	30	30	NUM
ajird-1499	241	50	29	29	NUM
ajird-1499	241	51	30	30	NUM
ajird-1499	241	52	25	25	NUM
ajird-1499	241	53	28	28	NUM
ajird-1499	241	54	31	31	NUM
ajird-1499	241	55	32	32	NUM
ajird-1499	241	56	31	31	NUM
ajird-1499	241	57	31	31	NUM
ajird-1499	241	58	31	31	NUM
ajird-1499	241	59	32	32	NUM
ajird-1499	241	60	30	30	NUM
ajird-1499	241	61	29	29	NUM
ajird-1499	241	62	28	28	NUM
ajird-1499	241	63	30	30	NUM
ajird-1499	241	64	27	27	NUM
ajird-1499	241	65	33	33	NUM
ajird-1499	241	66	37	37	NUM
ajird-1499	241	67	28	28	NUM
ajird-1499	241	68	ур	ур	NOUN
ajird-1499	241	69	35	35	NUM
ajird-1499	241	70	31	31	NUM
ajird-1499	241	71	34	34	NUM
ajird-1499	241	72	31	31	NUM
ajird-1499	241	73	33	33	NUM
ajird-1499	241	74	30	30	NUM
ajird-1499	241	75	33	33	NUM
ajird-1499	241	76	29	29	NUM
ajird-1499	241	77	32	32	NUM
ajird-1499	241	78	29	29	NUM
ajird-1499	241	79	32	32	NUM
ajird-1499	241	80	28	28	NUM
ajird-1499	241	81	31	31	NUM
ajird-1499	241	82	28	28	NUM
ajird-1499	241	83	31	31	NUM
ajird-1499	241	84	28	28	NUM
ajird-1499	241	85	31	31	NUM
ajird-1499	241	86	28	28	NUM
ajird-1499	241	87	31	31	NUM
ajird-1499	241	88	28	28	NUM
ajird-1499	241	89	31	31	NUM
ajird-1499	241	90	28	28	NUM
ajird-1499	241	91	31	31	NUM
ajird-1499	241	92	28	28	NUM
ajird-1499	241	93	31	31	NUM
ajird-1499	241	94	29	29	NUM
ajird-1499	241	95	32	32	NUM
ajird-1499	241	96	29	29	NUM
ajird-1499	241	97	32	32	NUM
ajird-1499	241	98	29	29	NUM
ajird-1499	241	99	33	33	NUM
ajird-1499	241	100	30	30	NUM
ajird-1499	241	101	33	33	NUM
ajird-1499	241	102	0.0	0.0	NUM
ajird-1499	241	103	5.0	5.0	NUM
ajird-1499	241	104	10.0	10.0	NUM
ajird-1499	241	105	15.0	15.0	NUM
ajird-1499	241	106	20.0	20.0	NUM
ajird-1499	241	107	25.0	25.0	NUM
ajird-1499	241	108	30.0	30.0	NUM
ajird-1499	241	109	35.0	35.0	NUM
ajird-1499	241	110	40.0	40.0	NUM
ajird-1499	241	111	уф	уф	ADP
ajird-1499	241	112	ур	ур	PROPN
ajird-1499	241	113	30.7438	30.7438	NUM
ajird-1499	241	114	34.1282	34.1282	NUM
ajird-1499	241	115	31.537	31.537	NUM
ajird-1499	241	116	34.9702	34.9702	NUM
ajird-1499	241	117	32.4278	32.4278	NUM
ajird-1499	241	118	30.5	30.5	NUM
ajird-1499	241	119	31	31	NUM
ajird-1499	241	120	31.5	31.5	NUM
ajird-1499	241	121	32	32	NUM
ajird-1499	241	122	32.5	32.5	NUM
ajird-1499	241	123	33	33	NUM
ajird-1499	241	124	33.5	33.5	NUM
ajird-1499	241	125	34	34	NUM
ajird-1499	241	126	34.5	34.5	NUM
ajird-1499	241	127	35	35	NUM
ajird-1499	241	128	35.5	35.5	NUM
ajird-1499	241	129	2024	2024	NUM
ajird-1499	241	130	2025	2025	NUM
ajird-1499	241	131	2026	2026	NUM
ajird-1499	241	132	2027	2027	NUM
ajird-1499	241	133	2028	2028	NUM
ajird-1499	241	134	american	american	ADJ
ajird-1499	241	135	journal	journal	PROPN
ajird-1499	241	136	of	of	ADP
ajird-1499	241	137	interdisciplinary	interdisciplinary	ADJ
ajird-1499	241	138	research	research	NOUN
ajird-1499	241	139	and	and	CCONJ
ajird-1499	241	140	development	development	NOUN
ajird-1499	241	141	issn	issn	PROPN
ajird-1499	241	142	online	online	NOUN
ajird-1499	241	143	:	:	PUNCT
ajird-1499	241	144	2771	2771	NUM
ajird-1499	241	145	-	-	SYM
ajird-1499	241	146	8948	8948	NUM
ajird-1499	241	147	website	website	NOUN
ajird-1499	241	148	:	:	PUNCT
ajird-1499	241	149	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	241	150	volume	volume	NOUN
ajird-1499	241	151	38	38	NUM
ajird-1499	241	152	,	,	PUNCT
ajird-1499	241	153	march	march	PROPN
ajird-1499	241	154	2025	2025	NUM
ajird-1499	241	155	77	77	NUM
ajird-1499	242	1	|	|	ADV
ajird-1499	242	2	p	p	NOUN
ajird-1499	242	3	a	a	DET
ajird-1499	242	4	g	g	NOUN
ajird-1499	242	5	e	e	NOUN
ajird-1499	242	6	it	it	PRON
ajird-1499	242	7	can	can	AUX
ajird-1499	242	8	be	be	AUX
ajird-1499	242	9	seen	see	VERB
ajird-1499	242	10	that	that	SCONJ
ajird-1499	242	11	the	the	DET
ajird-1499	242	12	cyclical	cyclical	ADJ
ajird-1499	242	13	nature	nature	NOUN
ajird-1499	242	14	in	in	ADP
ajird-1499	242	15	forecasting	forecasting	NOUN
ajird-1499	242	16	ensures	ensure	VERB
ajird-1499	242	17	reliable	reliable	ADJ
ajird-1499	242	18	results	result	NOUN
ajird-1499	242	19	.	.	PUNCT
ajird-1499	243	1	conclusion	conclusion	NOUN
ajird-1499	243	2	thus	thus	ADV
ajird-1499	243	3	,	,	PUNCT
ajird-1499	243	4	the	the	DET
ajird-1499	243	5	following	follow	VERB
ajird-1499	243	6	results	result	NOUN
ajird-1499	243	7	were	be	AUX
ajird-1499	243	8	obtained	obtain	VERB
ajird-1499	243	9	in	in	ADP
ajird-1499	243	10	this	this	DET
ajird-1499	243	11	article	article	NOUN
ajird-1499	243	12	:	:	PUNCT
ajird-1499	244	1	1	1	X
ajird-1499	244	2	.	.	X
ajird-1499	244	3	if	if	SCONJ
ajird-1499	244	4	experimental	experimental	ADJ
ajird-1499	244	5	data	datum	NOUN
ajird-1499	244	6	characterizing	characterize	VERB
ajird-1499	244	7	the	the	DET
ajird-1499	244	8	state	state	NOUN
ajird-1499	244	9	of	of	ADP
ajird-1499	244	10	the	the	DET
ajird-1499	244	11	object	object	NOUN
ajird-1499	244	12	at	at	ADP
ajird-1499	244	13	points	point	NOUN
ajird-1499	244	14	xi	xi	NUM
ajird-1499	244	15	in	in	ADP
ajird-1499	244	16	the	the	DET
ajird-1499	244	17	form	form	NOUN
ajird-1499	244	18	of	of	ADP
ajird-1499	244	19	yi	yi	NOUN
ajird-1499	244	20	,	,	PUNCT
ajird-1499	244	21	are	be	AUX
ajird-1499	244	22	available	available	ADJ
ajird-1499	244	23	,	,	PUNCT
ajird-1499	244	24	it	it	PRON
ajird-1499	244	25	is	be	AUX
ajird-1499	244	26	possible	possible	ADJ
ajird-1499	244	27	to	to	PART
ajird-1499	244	28	determine	determine	VERB
ajird-1499	244	29	whether	whether	SCONJ
ajird-1499	244	30	the	the	DET
ajird-1499	244	31	process	process	NOUN
ajird-1499	244	32	is	be	AUX
ajird-1499	244	33	harmonic	harmonic	ADJ
ajird-1499	244	34	or	or	CCONJ
ajird-1499	244	35	non	non	ADJ
ajird-1499	244	36	-	-	ADJ
ajird-1499	244	37	harmonic	harmonic	ADJ
ajird-1499	244	38	.	.	PUNCT
ajird-1499	245	1	the	the	DET
ajird-1499	245	2	necessary	necessary	ADJ
ajird-1499	245	3	condition	condition	NOUN
ajird-1499	245	4	for	for	ADP
ajird-1499	245	5	harmonicity	harmonicity	NOUN
ajird-1499	245	6	is	be	AUX
ajird-1499	245	7	:	:	PUNCT
ajird-1499	245	8	∆2𝑦	∆2𝑦	X
ajird-1499	245	9	∆𝑥2	∆𝑥2	NOUN
ajird-1499	245	10	/𝑦	/𝑦	PUNCT
ajird-1499	246	1	=	=	PUNCT
ajird-1499	246	2	−𝜔2	−𝜔2	NOUN
ajird-1499	247	1	=	=	PUNCT
ajird-1499	247	2	±𝐴.	±𝐴.	PROPN
ajird-1499	247	3	if	if	SCONJ
ajird-1499	247	4	а	а	PROPN
ajird-1499	247	5	>	>	X
ajird-1499	247	6	0	0	PROPN
ajird-1499	247	7	,	,	PUNCT
ajird-1499	247	8	the	the	DET
ajird-1499	247	9	process	process	NOUN
ajird-1499	247	10	is	be	AUX
ajird-1499	247	11	an	an	DET
ajird-1499	247	12	oscillatory	oscillatory	ADJ
ajird-1499	247	13	process	process	NOUN
ajird-1499	247	14	.	.	PUNCT
ajird-1499	248	1	2	2	X
ajird-1499	248	2	.	.	X
ajird-1499	248	3	when	when	SCONJ
ajird-1499	248	4	the	the	DET
ajird-1499	248	5	value	value	NOUN
ajird-1499	248	6	of	of	ADP
ajird-1499	248	7	⍵	⍵	PRON
ajird-1499	248	8	=	=	NOUN
ajird-1499	248	9	2𝜋	2𝜋	NUM
ajird-1499	248	10	𝑇	𝑇	PROPN
ajird-1499	248	11	is	be	AUX
ajird-1499	248	12	known	know	VERB
ajird-1499	248	13	,	,	PUNCT
ajird-1499	248	14	the	the	DET
ajird-1499	248	15	period	period	NOUN
ajird-1499	248	16	of	of	ADP
ajird-1499	248	17	oscillation	oscillation	NOUN
ajird-1499	248	18	t	t	PROPN
ajird-1499	248	19	is	be	AUX
ajird-1499	248	20	automatically	automatically	ADV
ajird-1499	248	21	determined	determine	VERB
ajird-1499	248	22	as	as	ADP
ajird-1499	248	23	𝑇	𝑇	PROPN
ajird-1499	248	24	=	=	PROPN
ajird-1499	248	25	2𝜋	2𝜋	PROPN
ajird-1499	248	26	⍵	⍵	PUNCT
ajird-1499	248	27	,	,	PUNCT
ajird-1499	248	28	and	and	CCONJ
ajird-1499	248	29	the	the	DET
ajird-1499	248	30	frequency	frequency	NOUN
ajird-1499	248	31	of	of	ADP
ajird-1499	248	32	oscillation	oscillation	NOUN
ajird-1499	248	33	𝑦	𝑦	NOUN
ajird-1499	248	34	=	=	SYM
ajird-1499	248	35	1	1	NUM
ajird-1499	248	36	𝑇	𝑇	PROPN
ajird-1499	248	37	3	3	NUM
ajird-1499	248	38	.	.	PUNCT
ajird-1499	249	1	if	if	SCONJ
ajird-1499	249	2	а<0	а<0	NOUN
ajird-1499	249	3	,	,	PUNCT
ajird-1499	249	4	then	then	ADV
ajird-1499	249	5	the	the	DET
ajird-1499	249	6	general	general	ADJ
ajird-1499	249	7	solution	solution	NOUN
ajird-1499	249	8	of	of	ADP
ajird-1499	249	9	the	the	DET
ajird-1499	249	10	equation	equation	NOUN
ajird-1499	249	11	and	and	CCONJ
ajird-1499	249	12	the	the	DET
ajird-1499	249	13	desired	desire	VERB
ajird-1499	249	14	dependency	dependency	NOUN
ajird-1499	249	15	is	be	AUX
ajird-1499	249	16	a	a	DET
ajird-1499	249	17	harmonic	harmonic	ADJ
ajird-1499	249	18	function	function	NOUN
ajird-1499	249	19	:	:	PUNCT
ajird-1499	249	20	𝑦	𝑦	NOUN
ajird-1499	249	21	=	=	SYM
ajird-1499	249	22	𝐴𝑠𝑖𝑛√𝜔𝑥	𝐴𝑠𝑖𝑛√𝜔𝑥	X
ajird-1499	249	23	+	+	NUM
ajird-1499	249	24	𝐵𝑐𝑜𝑠√𝜔𝑥.	𝐵𝑐𝑜𝑠√𝜔𝑥.	PROPN
ajird-1499	249	25	4	4	NUM
ajird-1499	249	26	.	.	PUNCT
ajird-1499	249	27	when	when	SCONJ
ajird-1499	249	28	а>0	а>0	PRON
ajird-1499	249	29	,	,	PUNCT
ajird-1499	249	30	this	this	DET
ajird-1499	249	31	process	process	NOUN
ajird-1499	249	32	is	be	AUX
ajird-1499	249	33	not	not	PART
ajird-1499	249	34	harmonic	harmonic	ADJ
ajird-1499	249	35	and	and	CCONJ
ajird-1499	249	36	has	have	VERB
ajird-1499	249	37	the	the	DET
ajird-1499	249	38	following	follow	VERB
ajird-1499	249	39	form	form	NOUN
ajird-1499	249	40	:	:	PUNCT
ajird-1499	249	41	𝑦	𝑦	NOUN
ajird-1499	249	42	=	=	SYM
ajird-1499	250	1	𝐴𝑒𝑥	𝐴𝑒𝑥	PROPN
ajird-1499	250	2	+	+	NUM
ajird-1499	250	3	𝐵𝑒−𝑥	𝐵𝑒−𝑥	NOUN
ajird-1499	250	4	5	5	NUM
ajird-1499	250	5	.	.	PUNCT
ajird-1499	251	1	in	in	ADP
ajird-1499	251	2	any	any	DET
ajird-1499	251	3	case	case	NOUN
ajird-1499	251	4	,	,	PUNCT
ajird-1499	251	5	the	the	DET
ajird-1499	251	6	coefficients	coefficient	NOUN
ajird-1499	251	7	а	а	PROPN
ajird-1499	251	8	and	and	CCONJ
ajird-1499	251	9	of	of	ADP
ajird-1499	251	10	the	the	DET
ajird-1499	251	11	harmonic	harmonic	ADJ
ajird-1499	251	12	function	function	NOUN
ajird-1499	251	13	are	be	AUX
ajird-1499	251	14	determined	determine	VERB
ajird-1499	251	15	based	base	VERB
ajird-1499	251	16	on	on	ADP
ajird-1499	251	17	the	the	DET
ajird-1499	251	18	initial	initial	ADJ
ajird-1499	251	19	conditions	condition	NOUN
ajird-1499	251	20	y(𝑥0	y(𝑥0	NOUN
ajird-1499	251	21	)	)	PUNCT
ajird-1499	252	1	=	=	SYM
ajird-1499	252	2	𝑦0	𝑦0	NOUN
ajird-1499	252	3	and	and	CCONJ
ajird-1499	252	4	𝑦′(𝑥0	𝑦′(𝑥0	NOUN
ajird-1499	252	5	)	)	PUNCT
ajird-1499	252	6	=	=	SYM
ajird-1499	252	7	𝑦0	𝑦0	NOUN
ajird-1499	252	8	′	′	NOUN
ajird-1499	252	9	;	;	PUNCT
ajird-1499	252	10	in	in	ADP
ajird-1499	252	11	this	this	DET
ajird-1499	252	12	case	case	NOUN
ajird-1499	252	13	,	,	PUNCT
ajird-1499	252	14	a	a	DET
ajird-1499	252	15	system	system	NOUN
ajird-1499	252	16	of	of	ADP
ajird-1499	252	17	two	two	NUM
ajird-1499	252	18	equations	equation	NOUN
ajird-1499	252	19	with	with	ADP
ajird-1499	252	20	two	two	NUM
ajird-1499	252	21	unknowns	unknown	NOUN
ajird-1499	252	22	is	be	AUX
ajird-1499	252	23	solved	solve	VERB
ajird-1499	252	24	,	,	PUNCT
ajird-1499	252	25	and	and	CCONJ
ajird-1499	252	26	the	the	DET
ajird-1499	252	27	coefficients	coefficient	NOUN
ajird-1499	252	28	а	а	PROPN
ajird-1499	252	29	and	and	CCONJ
ajird-1499	252	30	в	в	PROPN
ajird-1499	252	31	are	be	AUX
ajird-1499	252	32	determined	determine	VERB
ajird-1499	252	33	.	.	PUNCT
ajird-1499	253	1	6	6	X
ajird-1499	253	2	.	.	PUNCT
ajird-1499	253	3	the	the	DET
ajird-1499	253	4	method	method	NOUN
ajird-1499	253	5	was	be	AUX
ajird-1499	253	6	tested	test	VERB
ajird-1499	253	7	based	base	VERB
ajird-1499	253	8	on	on	ADP
ajird-1499	253	9	a	a	DET
ajird-1499	253	10	specific	specific	ADJ
ajird-1499	253	11	example	example	NOUN
ajird-1499	253	12	,	,	PUNCT
ajird-1499	253	13	resulting	result	VERB
ajird-1499	253	14	in	in	ADP
ajird-1499	253	15	the	the	DET
ajird-1499	253	16	determination	determination	NOUN
ajird-1499	253	17	of	of	ADP
ajird-1499	253	18	the	the	DET
ajird-1499	253	19	suitability	suitability	NOUN
ajird-1499	253	20	of	of	ADP
ajird-1499	253	21	the	the	DET
ajird-1499	253	22	presented	present	VERB
ajird-1499	253	23	algorithm	algorithm	NOUN
ajird-1499	253	24	for	for	ADP
ajird-1499	253	25	solving	solve	VERB
ajird-1499	253	26	the	the	DET
ajird-1499	253	27	given	give	VERB
ajird-1499	253	28	problem	problem	NOUN
ajird-1499	253	29	.	.	PUNCT
ajird-1499	254	1	references	reference	NOUN
ajird-1499	254	2	[	[	X
ajird-1499	254	3	1	1	NUM
ajird-1499	254	4	]	]	X
ajird-1499	254	5	oglihh	oglihh	NOUN
ajird-1499	254	6	v.	v.	CCONJ
ajird-1499	254	7	v.	v.	ADV
ajird-1499	254	8	,	,	PUNCT
ajird-1499	254	9	levchenko	levchenko	PROPN
ajird-1499	254	10	n.	n.	PROPN
ajird-1499	254	11	v.	v.	ADP
ajird-1499	254	12	analysis	analysis	NOUN
ajird-1499	254	13	of	of	ADP
ajird-1499	254	14	the	the	DET
ajird-1499	254	15	yield	yield	NOUN
ajird-1499	254	16	trends	trend	NOUN
ajird-1499	254	17	of	of	ADP
ajird-1499	254	18	cereal	cereal	NOUN
ajird-1499	254	19	crops	crop	NOUN
ajird-1499	254	20	//	//	SYM
ajird-1499	254	21	oglihh	oglihh	PROPN
ajird-1499	254	22	v.	v.	CCONJ
ajird-1499	254	23	v.	v.	PROPN
ajird-1499	254	24	,	,	PUNCT
ajird-1499	254	25	levchenko	levchenko	PROPN
ajird-1499	254	26	n.	n.	PROPN
ajird-1499	254	27	v.	v.	PROPN
ajird-1499	254	28	//	//	PROPN
ajird-1499	254	29	biznesinform	biznesinform	NOUN
ajird-1499	254	30	.	.	PUNCT
ajird-1499	255	1	–	–	PUNCT
ajird-1499	255	2	2011	2011	NUM
ajird-1499	255	3	.	.	PUNCT
ajird-1499	256	1	–	–	PUNCT
ajird-1499	256	2	no	no	NOUN
ajird-1499	256	3	.	.	NOUN
ajird-1499	257	1	7	7	X
ajird-1499	257	2	.	.	X
ajird-1499	257	3	–	–	PUNCT
ajird-1499	257	4	p.	p.	NOUN
ajird-1499	257	5	2	2	NUM
ajird-1499	257	6	.	.	PUNCT
ajird-1499	258	1	[	[	X
ajird-1499	258	2	2	2	X
ajird-1499	258	3	]	]	PUNCT
ajird-1499	258	4	zolotokrylin	zolotokrylin	PROPN
ajird-1499	258	5	a.	a.	PROPN
ajird-1499	258	6	n.	n.	PROPN
ajird-1499	258	7	et	et	PROPN
ajird-1499	259	1	al	al	PROPN
ajird-1499	259	2	.	.	PROPN
ajird-1499	259	3	changes	change	NOUN
ajird-1499	259	4	in	in	ADP
ajird-1499	259	5	the	the	DET
ajird-1499	259	6	yield	yield	NOUN
ajird-1499	259	7	of	of	ADP
ajird-1499	259	8	cereal	cereal	NOUN
ajird-1499	259	9	crops	crop	NOUN
ajird-1499	259	10	in	in	ADP
ajird-1499	259	11	european	european	PROPN
ajird-1499	259	12	russia	russia	PROPN
ajird-1499	259	13	caused	cause	VERB
ajird-1499	259	14	by	by	ADP
ajird-1499	259	15	the	the	DET
ajird-1499	259	16	quasi	quasi	ADJ
ajird-1499	259	17	-	-	ADJ
ajird-1499	259	18	two	two	NUM
ajird-1499	259	19	-	-	PUNCT
ajird-1499	259	20	year	year	NOUN
ajird-1499	259	21	cycle	cycle	NOUN
ajird-1499	259	22	of	of	ADP
ajird-1499	259	23	atmospheric	atmospheric	ADJ
ajird-1499	259	24	processes	process	NOUN
ajird-1499	259	25	//	//	NOUN
ajird-1499	259	26	proceedings	proceeding	NOUN
ajird-1499	259	27	of	of	ADP
ajird-1499	259	28	the	the	DET
ajird-1499	259	29	russian	russian	PROPN
ajird-1499	259	30	academy	academy	PROPN
ajird-1499	259	31	of	of	ADP
ajird-1499	259	32	sciences	sciences	PROPN
ajird-1499	259	33	.	.	PUNCT
ajird-1499	260	1	geography	geography	NOUN
ajird-1499	260	2	series	series	PROPN
ajird-1499	260	3	.	.	PUNCT
ajird-1499	261	1	–	–	PUNCT
ajird-1499	261	2	2016	2016	NUM
ajird-1499	261	3	.	.	PUNCT
ajird-1499	262	1	–	–	PUNCT
ajird-1499	262	2	no	no	NOUN
ajird-1499	262	3	.	.	NOUN
ajird-1499	262	4	2	2	NUM
ajird-1499	262	5	.	.	X
ajird-1499	262	6	–	–	PUNCT
ajird-1499	263	1	p.	p.	NOUN
ajird-1499	263	2	90	90	NUM
ajird-1499	263	3	-	-	SYM
ajird-1499	263	4	99	99	NUM
ajird-1499	263	5	.	.	PUNCT
ajird-1499	264	1	[	[	X
ajird-1499	264	2	3	3	X
ajird-1499	264	3	]	]	X
ajird-1499	264	4	sheikhov	sheikhov	PROPN
ajird-1499	264	5	m.	m.	PROPN
ajird-1499	264	6	a.	a.	PROPN
ajird-1499	264	7	,	,	PUNCT
ajird-1499	264	8	saipudinov	saipudinov	PROPN
ajird-1499	264	9	r.	r.	PROPN
ajird-1499	264	10	m.	m.	PROPN
ajird-1499	264	11	,	,	PUNCT
ajird-1499	264	12	magomedov	magomedov	ADP
ajird-1499	264	13	r.	r.	PROPN
ajird-1499	264	14	m.	m.	PROPN
ajird-1499	264	15	study	study	NOUN
ajird-1499	264	16	of	of	ADP
ajird-1499	264	17	the	the	DET
ajird-1499	264	18	dynamics	dynamic	NOUN
ajird-1499	264	19	of	of	ADP
ajird-1499	264	20	cereal	cereal	NOUN
ajird-1499	264	21	crop	crop	NOUN
ajird-1499	264	22	yields	yield	NOUN
ajird-1499	264	23	using	use	VERB
ajird-1499	264	24	the	the	DET
ajird-1499	264	25	least	least	ADJ
ajird-1499	264	26	squares	square	NOUN
ajird-1499	264	27	method	method	PROPN
ajird-1499	264	28	//	//	PUNCT
ajird-1499	264	29	issues	issue	NOUN
ajird-1499	264	30	of	of	ADP
ajird-1499	264	31	economic	economic	ADJ
ajird-1499	264	32	structuring	structuring	NOUN
ajird-1499	264	33	.	.	PUNCT
ajird-1499	265	1	2000	2000	NUM
ajird-1499	265	2	.	.	PUNCT
ajird-1499	266	1	no	no	INTJ
ajird-1499	266	2	.	.	NOUN
ajird-1499	267	1	5	5	NUM
ajird-1499	267	2	.	.	X
ajird-1499	267	3	url	url	PROPN
ajird-1499	267	4	:	:	PUNCT
ajird-1499	267	5	https://cyberleninka.ru/article/n/issledovanie-dinamiki-urozhaynosti-zernovyhkultur-metodom-naimenshih-kvadratov	https://cyberleninka.ru/article/n/issledovanie-dinamiki-urozhaynosti-zernovyhkultur-metodom-naimenshih-kvadratov	NOUN
ajird-1499	267	6	(	(	PUNCT
ajird-1499	267	7	accessed	access	VERB
ajird-1499	267	8	:	:	PUNCT
ajird-1499	267	9	20.01.2025	20.01.2025	NUM
ajird-1499	267	10	)	)	PUNCT
ajird-1499	267	11	.	.	PUNCT
ajird-1499	268	1	[	[	X
ajird-1499	268	2	4	4	X
ajird-1499	268	3	]	]	X
ajird-1499	268	4	ochilov	ochilov	PROPN
ajird-1499	268	5	sh	sh	PROPN
ajird-1499	268	6	.	.	PROPN
ajird-1499	268	7	b.	b.	PROPN
ajird-1499	268	8	,	,	PUNCT
ajird-1499	268	9	boboev	boboev	PROPN
ajird-1499	268	10	a.	a.	PROPN
ajird-1499	268	11	ch	ch	PROPN
ajird-1499	268	12	.	.	PROPN
ajird-1499	268	13	,	,	PUNCT
ajird-1499	268	14	akramova	akramova	PROPN
ajird-1499	268	15	o.	o.	PROPN
ajird-1499	268	16	k.	k.	PROPN
ajird-1499	268	17	ways	way	NOUN
ajird-1499	268	18	to	to	PART
ajird-1499	268	19	improve	improve	VERB
ajird-1499	268	20	the	the	DET
ajird-1499	268	21	investment	investment	NOUN
ajird-1499	268	22	attractiveness	attractiveness	NOUN
ajird-1499	268	23	of	of	ADP
ajird-1499	268	24	regions	region	NOUN
ajird-1499	268	25	by	by	ADP
ajird-1499	268	26	reducing	reduce	VERB
ajird-1499	268	27	investment	investment	NOUN
ajird-1499	268	28	risks	risk	NOUN
ajird-1499	268	29	in	in	ADP
ajird-1499	268	30	agriculture	agriculture	PROPN
ajird-1499	268	31	//	//	PUNCT
ajird-1499	268	32	informatics	informatics	PROPN
ajird-1499	268	33	.	.	PUNCT
ajird-1499	269	1	economics	economic	NOUN
ajird-1499	269	2	.	.	PUNCT
ajird-1499	270	1	management	management	NOUN
ajird-1499	270	2	.	.	PUNCT
ajird-1499	271	1	–	–	PUNCT
ajird-1499	271	2	2024	2024	NUM
ajird-1499	271	3	.	.	PUNCT
ajird-1499	272	1	–	–	PUNCT
ajird-1499	272	2	vol	vol	NOUN
ajird-1499	272	3	.	.	PUNCT
ajird-1499	273	1	3	3	X
ajird-1499	273	2	.	.	X
ajird-1499	273	3	–	–	PUNCT
ajird-1499	273	4	no	no	NOUN
ajird-1499	273	5	.	.	NOUN
ajird-1499	273	6	1	1	NUM
ajird-1499	273	7	.	.	X
ajird-1499	273	8	–	–	PUNCT
ajird-1499	274	1	p.	p.	NOUN
ajird-1499	274	2	0401	0401	NUM
ajird-1499	274	3	-	-	SYM
ajird-1499	274	4	0410	0410	NUM
ajird-1499	274	5	.	.	PUNCT
ajird-1499	275	1	[	[	X
ajird-1499	275	2	5	5	NUM
ajird-1499	275	3	]	]	X
ajird-1499	275	4	ochilov	ochilov	PROPN
ajird-1499	275	5	sh	sh	PROPN
ajird-1499	275	6	.	.	PROPN
ajird-1499	275	7	b.	b.	PROPN
ajird-1499	275	8	differential	differential	PROPN
ajird-1499	275	9	method	method	NOUN
ajird-1499	275	10	for	for	ADP
ajird-1499	275	11	forecasting	forecast	VERB
ajird-1499	275	12	labor	labor	NOUN
ajird-1499	275	13	resources	resource	NOUN
ajird-1499	275	14	based	base	VERB
ajird-1499	275	15	on	on	ADP
ajird-1499	275	16	correlation	correlation	NOUN
ajird-1499	275	17	models	model	NOUN
ajird-1499	275	18	//	//	SYM
ajird-1499	275	19	economic	economic	ADJ
ajird-1499	275	20	security	security	NOUN
ajird-1499	275	21	of	of	ADP
ajird-1499	275	22	socio	socio	NOUN
ajird-1499	275	23	-	-	PUNCT
ajird-1499	275	24	economic	economic	ADJ
ajird-1499	275	25	systems	system	NOUN
ajird-1499	275	26	:	:	PUNCT
ajird-1499	275	27	challenges	challenge	NOUN
ajird-1499	275	28	and	and	CCONJ
ajird-1499	275	29	opportunities	opportunity	NOUN
ajird-1499	275	30	.	.	PUNCT
ajird-1499	275	31	–	–	PUNCT
ajird-1499	275	32	2022	2022	NUM
ajird-1499	275	33	.	.	PUNCT
ajird-1499	276	1	–	–	PUNCT
ajird-1499	276	2	p.	p.	NOUN
ajird-1499	276	3	365	365	NUM
ajird-1499	276	4	-	-	SYM
ajird-1499	276	5	369	369	NUM
ajird-1499	276	6	.	.	PUNCT
ajird-1499	277	1	[	[	X
ajird-1499	277	2	6	6	NUM
ajird-1499	277	3	]	]	X
ajird-1499	277	4	ochilov	ochilov	PROPN
ajird-1499	277	5	sh	sh	PROPN
ajird-1499	277	6	.	.	PROPN
ajird-1499	277	7	b.	b.	PROPN
ajird-1499	277	8	,	,	PUNCT
ajird-1499	277	9	khasanova	khasanova	PROPN
ajird-1499	277	10	g.	g.	PROPN
ajird-1499	277	11	d.	d.	PROPN
ajird-1499	277	12	alternative	alternative	PROPN
ajird-1499	277	13	method	method	NOUN
ajird-1499	277	14	of	of	ADP
ajird-1499	277	15	constructing	construct	VERB
ajird-1499	277	16	correlation	correlation	NOUN
ajird-1499	277	17	models	model	NOUN
ajird-1499	277	18	//	//	X
ajird-1499	277	19	academy	academy	PROPN
ajird-1499	277	20	.	.	PUNCT
ajird-1499	277	21	–	–	PUNCT
ajird-1499	277	22	2020	2020	NUM
ajird-1499	277	23	.	.	PUNCT
ajird-1499	278	1	–	–	PUNCT
ajird-1499	278	2	no	no	NOUN
ajird-1499	278	3	.	.	NOUN
ajird-1499	278	4	6	6	NUM
ajird-1499	278	5	(	(	PUNCT
ajird-1499	278	6	57	57	NUM
ajird-1499	278	7	)	)	PUNCT
ajird-1499	278	8	.	.	PUNCT
ajird-1499	279	1	–	–	PUNCT
ajird-1499	279	2	p.	p.	NOUN
ajird-1499	279	3	45	45	NUM
ajird-1499	279	4	-	-	SYM
ajird-1499	279	5	47	47	NUM
ajird-1499	279	6	.	.	PUNCT
ajird-1499	280	1	https://cyberleninka.ru/article/n/issledovanie-dinamiki-urozhaynosti-zernovyh-kultur-metodom-naimenshih-kvadratov	https://cyberleninka.ru/article/n/issledovanie-dinamiki-urozhaynosti-zernovyh-kultur-metodom-naimenshih-kvadratov	PROPN
ajird-1499	280	2	https://cyberleninka.ru/article/n/issledovanie-dinamiki-urozhaynosti-zernovyh-kultur-metodom-naimenshih-kvadratov	https://cyberleninka.ru/article/n/issledovanie-dinamiki-urozhaynosti-zernovyh-kultur-metodom-naimenshih-kvadratov	PROPN
ajird-1499	280	3	american	american	PROPN
ajird-1499	280	4	journal	journal	PROPN
ajird-1499	280	5	of	of	ADP
ajird-1499	280	6	interdisciplinary	interdisciplinary	ADJ
ajird-1499	280	7	research	research	NOUN
ajird-1499	280	8	and	and	CCONJ
ajird-1499	280	9	development	development	NOUN
ajird-1499	280	10	issn	issn	PROPN
ajird-1499	280	11	online	online	NOUN
ajird-1499	280	12	:	:	PUNCT
ajird-1499	280	13	2771	2771	NUM
ajird-1499	280	14	-	-	SYM
ajird-1499	280	15	8948	8948	NUM
ajird-1499	280	16	website	website	NOUN
ajird-1499	280	17	:	:	PUNCT
ajird-1499	280	18	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-1499	280	19	volume	volume	NOUN
ajird-1499	280	20	38	38	NUM
ajird-1499	280	21	,	,	PUNCT
ajird-1499	280	22	march	march	PROPN
ajird-1499	280	23	2025	2025	NUM
ajird-1499	280	24	78	78	NUM
ajird-1499	281	1	|	|	ADV
ajird-1499	281	2	p	p	NOUN
ajird-1499	281	3	a	a	DET
ajird-1499	281	4	g	g	NOUN
ajird-1499	281	5	e	e	NOUN
ajird-1499	281	6	[	[	X
ajird-1499	281	7	7	7	NUM
ajird-1499	281	8	]	]	PUNCT
ajird-1499	281	9	rasulova	rasulova	PROPN
ajird-1499	281	10	nigora	nigora	PROPN
ajird-1499	281	11	nematovna	nematovna	PROPN
ajird-1499	281	12	2024	2024	NUM
ajird-1499	281	13	.	.	PUNCT
ajird-1499	282	1	evaluating	evaluate	VERB
ajird-1499	282	2	the	the	DET
ajird-1499	282	3	efficiency	efficiency	NOUN
ajird-1499	282	4	of	of	ADP
ajird-1499	282	5	leading	lead	VERB
ajird-1499	282	6	international	international	ADJ
ajird-1499	282	7	carpet	carpet	NOUN
ajird-1499	282	8	manufacturing	manufacturing	NOUN
ajird-1499	282	9	companies	company	NOUN
ajird-1499	282	10	using	use	VERB
ajird-1499	282	11	the	the	DET
ajird-1499	282	12	dea	dea	PROPN
ajird-1499	282	13	model	model	NOUN
ajird-1499	282	14	.	.	PUNCT
ajird-1499	283	1	european	european	PROPN
ajird-1499	283	2	journal	journal	PROPN
ajird-1499	283	3	of	of	ADP
ajird-1499	283	4	economics	economic	NOUN
ajird-1499	283	5	,	,	PUNCT
ajird-1499	283	6	finance	finance	NOUN
ajird-1499	283	7	and	and	CCONJ
ajird-1499	283	8	business	business	NOUN
ajird-1499	283	9	development	development	NOUN
ajird-1499	283	10	.	.	PUNCT
ajird-1499	284	1	2	2	NUM
ajird-1499	284	2	,	,	PUNCT
ajird-1499	284	3	3	3	NUM
ajird-1499	284	4	(	(	PUNCT
ajird-1499	284	5	mar	mar	PROPN
ajird-1499	284	6	.	.	PROPN
ajird-1499	284	7	2024	2024	NUM
ajird-1499	284	8	)	)	PUNCT
ajird-1499	284	9	,	,	PUNCT
ajird-1499	284	10	8–19	8–19	NOUN
ajird-1499	284	11	.	.	PUNCT
ajird-1499	285	1	references	reference	NOUN
ajird-1499	285	2	[	[	X
ajird-1499	285	3	1	1	NUM
ajird-1499	285	4	]	]	X
ajird-1499	285	5	оглих	оглих	PROPN
ajird-1499	285	6	в	в	PROPN
ajird-1499	285	7	.	.	PUNCT
ajird-1499	286	1	в	в	PROPN
ajird-1499	286	2	.	.	PROPN
ajird-1499	286	3	,	,	PUNCT
ajird-1499	286	4	левченко	левченко	PROPN
ajird-1499	286	5	н	н	NOUN
ajird-1499	286	6	.	.	PUNCT
ajird-1499	287	1	в	в	PROPN
ajird-1499	287	2	.	.	PUNCT
ajird-1499	287	3	анали	анали	PROPN
ajird-1499	287	4	тенденции	тенденции	VERB
ajird-1499	287	5	урожайности	урожайности	PROPN
ajird-1499	287	6	зерновых	зерновых	VERB
ajird-1499	287	7	культур	культур	PROPN
ajird-1499	287	8	//оглих	//оглих	PUNCT
ajird-1499	288	1	в	в	PROPN
ajird-1499	288	2	.	.	PUNCT
ajird-1499	289	1	в	в	PROPN
ajird-1499	289	2	.	.	PROPN
ajird-1499	289	3	,	,	PUNCT
ajird-1499	289	4	левченко	левченко	PROPN
ajird-1499	289	5	нв//бiзнесiнформ	нв//бiзнесiнформ	PROPN
ajird-1499	289	6	.	.	PUNCT
ajird-1499	289	7	–	–	PUNCT
ajird-1499	289	8	2011	2011	NUM
ajird-1499	289	9	.	.	PUNCT
ajird-1499	290	1	–	–	PUNCT
ajird-1499	290	2	№	№	NOUN
ajird-1499	290	3	.	.	PUNCT
ajird-1499	291	1	7	7	X
ajird-1499	291	2	.	.	X
ajird-1499	291	3	–	–	PUNCT
ajird-1499	291	4	с	с	NOUN
ajird-1499	291	5	.	.	PROPN
ajird-1499	292	1	2	2	NUM
ajird-1499	292	2	.	.	PUNCT
ajird-1499	293	1	[	[	X
ajird-1499	293	2	2	2	NUM
ajird-1499	293	3	]	]	PUNCT
ajird-1499	293	4	золотокрылин	золотокрылин	PROPN
ajird-1499	293	5	а	а	PROPN
ajird-1499	293	6	.	.	PUNCT
ajird-1499	294	1	н	н	X
ajird-1499	294	2	.	.	PUNCT
ajird-1499	295	1	и	и	PROPN
ajird-1499	295	2	др	др	PROPN
ajird-1499	295	3	.	.	PROPN
ajird-1499	295	4	изменения	изменения	ADJ
ajird-1499	295	5	урожайности	урожайности	PROPN
ajird-1499	295	6	зерновых	зерновых	VERB
ajird-1499	295	7	культур	культур	PROPN
ajird-1499	295	8	европейской	европейской	PROPN
ajird-1499	295	9	россии	россии	PROPN
ajird-1499	295	10	,	,	PUNCT
ajird-1499	295	11	вызванные	вызванные	VERB
ajird-1499	295	12	квазидвухлетней	квазидвухлетней	PROPN
ajird-1499	295	13	цикличностью	цикличностью	PROPN
ajird-1499	295	14	атмосферных	атмосферных	PROPN
ajird-1499	295	15	процессов	процессов	NOUN
ajird-1499	295	16	//известия	//известия	PUNCT
ajird-1499	295	17	российской	российской	PROPN
ajird-1499	295	18	академии	академии	PROPN
ajird-1499	295	19	наук	наук	PROPN
ajird-1499	295	20	.	.	PUNCT
ajird-1499	296	1	серия	серия	NOUN
ajird-1499	296	2	географическая	географическая	PROPN
ajird-1499	296	3	.	.	PUNCT
ajird-1499	297	1	–	–	PUNCT
ajird-1499	297	2	2016	2016	NUM
ajird-1499	297	3	.	.	PUNCT
ajird-1499	298	1	–	–	PUNCT
ajird-1499	298	2	№	№	NOUN
ajird-1499	298	3	.	.	NOUN
ajird-1499	299	1	2	2	NUM
ajird-1499	299	2	.	.	X
ajird-1499	299	3	–	–	PUNCT
ajird-1499	299	4	с	с	NOUN
ajird-1499	299	5	.	.	PROPN
ajird-1499	300	1	90	90	NUM
ajird-1499	300	2	-	-	SYM
ajird-1499	300	3	99	99	NUM
ajird-1499	300	4	.	.	PUNCT
ajird-1499	301	1	[	[	X
ajird-1499	301	2	3	3	X
ajird-1499	301	3	]	]	PUNCT
ajird-1499	301	4	шейхов	шейхов	NOUN
ajird-1499	301	5	м	м	X
ajird-1499	301	6	.	.	PUNCT
ajird-1499	302	1	а	а	PROPN
ajird-1499	302	2	.	.	PROPN
ajird-1499	302	3	,	,	PUNCT
ajird-1499	302	4	сайпудинов	сайпудинов	PROPN
ajird-1499	302	5	р	р	PROPN
ajird-1499	302	6	.	.	PROPN
ajird-1499	302	7	м	м	NUM
ajird-1499	302	8	.	.	PROPN
ajird-1499	302	9	,	,	PUNCT
ajird-1499	302	10	магомедов	магомедов	VERB
ajird-1499	302	11	р	р	ADP
ajird-1499	302	12	.	.	PROPN
ajird-1499	302	13	м	м	X
ajird-1499	302	14	.	.	PUNCT
ajird-1499	303	1	исследование	исследование	PROPN
ajird-1499	303	2	динамики	динамики	PROPN
ajird-1499	303	3	урожайности	урожайности	PROPN
ajird-1499	303	4	зерновых	зерновых	VERB
ajird-1499	303	5	культур	культур	PROPN
ajird-1499	303	6	методом	методом	PROPN
ajird-1499	303	7	наименьших	наименьших	PROPN
ajird-1499	303	8	квадратов	квадратов	ADJ
ajird-1499	303	9	//	//	SYM
ajird-1499	303	10	вопросы	вопросы	NOUN
ajird-1499	303	11	структуризации	структуризации	NOUN
ajird-1499	303	12	экономики	экономики	NOUN
ajird-1499	303	13	.	.	PUNCT
ajird-1499	303	14	2000	2000	NUM
ajird-1499	303	15	.	.	PUNCT
ajird-1499	304	1	№	№	ADP
ajird-1499	304	2	5	5	NUM
ajird-1499	304	3	.	.	PUNCT
ajird-1499	304	4	url	url	PROPN
ajird-1499	304	5	:	:	PUNCT
ajird-1499	304	6	https://cyberleninka.ru/article/n/issledovanie-dinamiki-urozhaynosti-zernovyh-kulturmetodom-naimenshih-kvadratov	https://cyberleninka.ru/article/n/issledovanie-dinamiki-urozhaynosti-zernovyh-kulturmetodom-naimenshih-kvadratov	PROPN
ajird-1499	304	7	(	(	PUNCT
ajird-1499	304	8	дата	дата	PROPN
ajird-1499	304	9	обращения	обращения	PROPN
ajird-1499	304	10	:	:	PUNCT
ajird-1499	304	11	20.01.2025	20.01.2025	NUM
ajird-1499	304	12	)	)	PUNCT
ajird-1499	304	13	.	.	PUNCT
ajird-1499	305	1	[	[	X
ajird-1499	305	2	4	4	X
ajird-1499	305	3	]	]	PUNCT
ajird-1499	305	4	очилов	очилов	X
ajird-1499	305	5	ш	ш	NOUN
ajird-1499	305	6	.	.	PUNCT
ajird-1499	306	1	б	б	X
ajird-1499	306	2	.	.	PRON
ajird-1499	306	3	,	,	PUNCT
ajird-1499	306	4	бобоев	бобоев	VERB
ajird-1499	306	5	a.	a.	NOUN
ajird-1499	306	6	ч	ч	PROPN
ajird-1499	306	7	.	.	PROPN
ajird-1499	306	8	,	,	PUNCT
ajird-1499	306	9	акрамова	акрамова	PROPN
ajird-1499	306	10	о	о	NUM
ajird-1499	306	11	.	.	PUNCT
ajird-1499	307	1	к	к	X
ajird-1499	307	2	.	.	PUNCT
ajird-1499	307	3	пути	пути	ADJ
ajird-1499	307	4	повышения	повышения	NOUN
ajird-1499	307	5	инвестиционной	инвестиционной	PROPN
ajird-1499	307	6	привлекательности	привлекательности	PROPN
ajird-1499	307	7	регионов	регионов	NOUN
ajird-1499	307	8	за	за	ADP
ajird-1499	307	9	счет	счет	NOUN
ajird-1499	307	10	снижения	снижения	ADJ
ajird-1499	307	11	инвестиционных	инвестиционных	ADJ
ajird-1499	307	12	рисков	рисков	NOUN
ajird-1499	307	13	в	в	PROPN
ajird-1499	307	14	сельском	сельском	ADJ
ajird-1499	307	15	хозяйстве	хозяйстве	NOUN
ajird-1499	307	16	//информатика	//информатика	PUNCT
ajird-1499	307	17	.	.	PUNCT
ajird-1499	308	1	экономика	экономика	PROPN
ajird-1499	308	2	.	.	PUNCT
ajird-1499	309	1	управление	управление	NOUN
ajird-1499	309	2	-	-	PUNCT
ajird-1499	309	3	informatics	informatic	NOUN
ajird-1499	309	4	.	.	PUNCT
ajird-1499	310	1	economics	economic	NOUN
ajird-1499	310	2	.	.	PUNCT
ajird-1499	311	1	management	management	NOUN
ajird-1499	311	2	.	.	PUNCT
ajird-1499	312	1	–	–	PUNCT
ajird-1499	312	2	2024	2024	NUM
ajird-1499	312	3	.	.	PUNCT
ajird-1499	313	1	–	–	PUNCT
ajird-1499	313	2	т	т	X
ajird-1499	313	3	.	.	NOUN
ajird-1499	313	4	3	3	NUM
ajird-1499	313	5	.	.	X
ajird-1499	313	6	–	–	PUNCT
ajird-1499	313	7	№	№	NOUN
ajird-1499	313	8	.	.	NOUN
ajird-1499	314	1	1	1	NUM
ajird-1499	314	2	.	.	X
ajird-1499	314	3	–	–	PUNCT
ajird-1499	314	4	с	с	PROPN
ajird-1499	314	5	.	.	PROPN
ajird-1499	314	6	0401	0401	NUM
ajird-1499	314	7	-	-	SYM
ajird-1499	314	8	0410	0410	NUM
ajird-1499	314	9	.	.	PUNCT
ajird-1499	315	1	[	[	X
ajird-1499	315	2	5	5	NUM
ajird-1499	315	3	]	]	PUNCT
ajird-1499	315	4	очилов	очилов	X
ajird-1499	315	5	ш	ш	NOUN
ajird-1499	315	6	.	.	PUNCT
ajird-1499	316	1	б	б	X
ajird-1499	316	2	.	.	PUNCT
ajird-1499	316	3	дифференциальный	дифференциальный	PROPN
ajird-1499	316	4	метод	метод	PROPN
ajird-1499	316	5	прогнозирования	прогнозирования	PROPN
ajird-1499	316	6	трудовых	трудовых	PROPN
ajird-1499	316	7	ресурсов	ресурсов	PROPN
ajird-1499	316	8	на	на	PROPN
ajird-1499	316	9	основе	основе	PROPN
ajird-1499	316	10	корреляционных	корреляционных	PROPN
ajird-1499	317	1	моделей	моделей	PROPN
ajird-1499	317	2	//экономическая	//экономическая	PUNCT
ajird-1499	318	1	безопасность	безопасность	PROPN
ajird-1499	318	2	социальноэкономических	социальноэкономических	VERB
ajird-1499	318	3	систем	систем	NOUN
ajird-1499	318	4	:	:	PUNCT
ajird-1499	318	5	вызовы	вызовы	PROPN
ajird-1499	318	6	и	и	PROPN
ajird-1499	318	7	возможности	возможности	PROPN
ajird-1499	318	8	.	.	PUNCT
ajird-1499	319	1	–	–	PUNCT
ajird-1499	319	2	2022	2022	NUM
ajird-1499	319	3	.	.	PUNCT
ajird-1499	320	1	–	–	PUNCT
ajird-1499	320	2	с	с	NOUN
ajird-1499	320	3	.	.	PROPN
ajird-1499	321	1	365	365	NUM
ajird-1499	321	2	-	-	SYM
ajird-1499	321	3	369	369	NUM
ajird-1499	321	4	.	.	PUNCT
ajird-1499	322	1	[	[	X
ajird-1499	322	2	6	6	NUM
ajird-1499	322	3	]	]	PUNCT
ajird-1499	322	4	очилов	очилов	X
ajird-1499	322	5	ш	ш	NOUN
ajird-1499	322	6	.	.	PUNCT
ajird-1499	323	1	б	б	X
ajird-1499	323	2	.	.	PRON
ajird-1499	323	3	,	,	PUNCT
ajird-1499	323	4	хасанова	хасанова	VERB
ajird-1499	323	5	г	г	PROPN
ajird-1499	323	6	.	.	PUNCT
ajird-1499	323	7	д	д	PROPN
ajird-1499	323	8	.	.	PUNCT
ajird-1499	323	9	альтернативный	альтернативный	ADJ
ajird-1499	323	10	метод	метод	PROPN
ajird-1499	323	11	построения	построения	PROPN
ajird-1499	323	12	корреляционных	корреляционных	PROPN
ajird-1499	323	13	моделей	моделей	PROPN
ajird-1499	323	14	//academy	//academy	PUNCT
ajird-1499	323	15	.	.	PUNCT
ajird-1499	324	1	–	–	PUNCT
ajird-1499	324	2	2020	2020	NUM
ajird-1499	324	3	.	.	PUNCT
ajird-1499	325	1	–	–	PUNCT
ajird-1499	325	2	№	№	NOUN
ajird-1499	325	3	.	.	NOUN
ajird-1499	325	4	6	6	NUM
ajird-1499	325	5	(	(	PUNCT
ajird-1499	325	6	57	57	NUM
ajird-1499	325	7	)	)	PUNCT
ajird-1499	325	8	.	.	PUNCT
ajird-1499	326	1	–	–	PUNCT
ajird-1499	326	2	с	с	PROPN
ajird-1499	326	3	.	.	PROPN
ajird-1499	327	1	45	45	NUM
ajird-1499	327	2	-	-	SYM
ajird-1499	327	3	47	47	NUM
ajird-1499	327	4	.	.	PUNCT