id	sid	tid	token	lemma	pos
ajtas-542	1	1	american	american	PROPN
ajtas-542	1	2	journal	journal	PROPN
ajtas-542	1	3	of	of	ADP
ajtas-542	1	4	pedagogical	pedagogical	ADJ
ajtas-542	1	5	and	and	CCONJ
ajtas-542	1	6	educational	educational	ADJ
ajtas-542	1	7	research	research	NOUN
ajtas-542	1	8	issn	issn	X
ajtas-542	1	9	(	(	PUNCT
ajtas-542	1	10	e	e	NOUN
ajtas-542	1	11	):	):	PUNCT
ajtas-542	1	12	2832	2832	NUM
ajtas-542	1	13	-	-	SYM
ajtas-542	1	14	9791|	9791|	NUM
ajtas-542	1	15	volume	volume	NOUN
ajtas-542	1	16	10	10	NUM
ajtas-542	1	17	,	,	PUNCT
ajtas-542	1	18	|	|	ADV
ajtas-542	1	19	mar	mar	PROPN
ajtas-542	1	20	.	.	PROPN
ajtas-542	1	21	,	,	PUNCT
ajtas-542	1	22	2023	2023	NUM
ajtas-542	1	23	p	p	NOUN
ajtas-542	1	24	a	a	DET
ajtas-542	1	25	g	g	NOUN
ajtas-542	1	26	e	e	NOUN
ajtas-542	1	27	|	|	ADV
ajtas-542	1	28	147	147	NUM
ajtas-542	1	29	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-542	1	30	teaching	teach	VERB
ajtas-542	1	31	students	student	NOUN
ajtas-542	1	32	to	to	PART
ajtas-542	1	33	solve	solve	VERB
ajtas-542	1	34	trigonometric	trigonometric	ADJ
ajtas-542	1	35	equations	equation	NOUN
ajtas-542	1	36	using	use	VERB
ajtas-542	1	37	elements	element	NOUN
ajtas-542	1	38	of	of	ADP
ajtas-542	1	39	mathematical	mathematical	ADJ
ajtas-542	1	40	analysis	analysis	NOUN
ajtas-542	1	41	in	in	ADP
ajtas-542	1	42	mathematics	mathematics	NOUN
ajtas-542	1	43	circles	circle	NOUN
ajtas-542	1	44	turginov	turginov	NOUN
ajtas-542	1	45	a.	a.	NOUN
ajtas-542	1	46	m.	m.	PROPN
ajtas-542	1	47	q.d.p.i	q.d.p.i	PROPN
ajtas-542	1	48	senior	senior	ADJ
ajtas-542	1	49	teacher	teacher	NOUN
ajtas-542	1	50	askaraliyeva	askaraliyeva	VERB
ajtas-542	1	51	m.	m.	PROPN
ajtas-542	1	52	a.	a.	PROPN
ajtas-542	1	53	q.d.p.i	q.d.p.i	PROPN
ajtas-542	1	54	teacher	teacher	NOUN
ajtas-542	1	55	a	a	PRON
ajtas-542	1	56	b	b	PROPN
ajtas-542	1	57	s	s	ADP
ajtas-542	1	58	t	t	PROPN
ajtas-542	1	59	r	r	NOUN
ajtas-542	1	60	a	a	DET
ajtas-542	1	61	c	c	NOUN
ajtas-542	1	62	t	t	NOUN
ajtas-542	1	63	k	k	X
ajtas-542	1	64	e	e	PROPN
ajtas-542	1	65	y	y	PROPN
ajtas-542	1	66	w	w	NOUN
ajtas-542	1	67	o	o	NOUN
ajtas-542	1	68	r	r	NOUN
ajtas-542	1	69	d	d	PROPN
ajtas-542	1	70	s	s	NOUN
ajtas-542	1	71	mathematics	mathematics	NOUN
ajtas-542	1	72	circles	circle	NOUN
ajtas-542	1	73	,	,	PUNCT
ajtas-542	1	74	mathematics	mathematics	PROPN
ajtas-542	1	75	is	be	AUX
ajtas-542	1	76	the	the	DET
ajtas-542	1	77	main	main	ADJ
ajtas-542	1	78	type	type	NOUN
ajtas-542	1	79	of	of	ADP
ajtas-542	1	80	work	work	NOUN
ajtas-542	1	81	outside	outside	ADP
ajtas-542	1	82	the	the	DET
ajtas-542	1	83	classroom	classroom	NOUN
ajtas-542	1	84	.	.	PUNCT
ajtas-542	2	1	circles	circle	NOUN
ajtas-542	2	2	arouse	arouse	VERB
ajtas-542	2	3	students	student	NOUN
ajtas-542	2	4	'	'	PART
ajtas-542	2	5	interest	interest	NOUN
ajtas-542	2	6	in	in	ADP
ajtas-542	2	7	science	science	NOUN
ajtas-542	2	8	and	and	CCONJ
ajtas-542	2	9	improve	improve	VERB
ajtas-542	2	10	their	their	PRON
ajtas-542	2	11	mathematical	mathematical	ADJ
ajtas-542	2	12	thinking	thinking	NOUN
ajtas-542	2	13	,	,	PUNCT
ajtas-542	2	14	skills	skill	NOUN
ajtas-542	2	15	,	,	PUNCT
ajtas-542	2	16	and	and	CCONJ
ajtas-542	2	17	the	the	DET
ajtas-542	2	18	quality	quality	NOUN
ajtas-542	2	19	of	of	ADP
ajtas-542	2	20	their	their	PRON
ajtas-542	2	21	mathematical	mathematical	ADJ
ajtas-542	2	22	training	training	NOUN
ajtas-542	2	23	.	.	PUNCT
ajtas-542	3	1	this	this	PRON
ajtas-542	3	2	increases	increase	VERB
ajtas-542	3	3	students	student	NOUN
ajtas-542	3	4	'	'	PART
ajtas-542	3	5	thinking	thinking	NOUN
ajtas-542	3	6	range	range	NOUN
ajtas-542	3	7	.	.	PUNCT
ajtas-542	4	1	introduction	introduction	NOUN
ajtas-542	4	2	there	there	PRON
ajtas-542	4	3	are	be	VERB
ajtas-542	4	4	the	the	DET
ajtas-542	4	5	following	follow	VERB
ajtas-542	4	6	methods	method	NOUN
ajtas-542	4	7	of	of	ADP
ajtas-542	4	8	using	use	VERB
ajtas-542	4	9	elements	element	NOUN
ajtas-542	4	10	of	of	ADP
ajtas-542	4	11	mathematical	mathematical	ADJ
ajtas-542	4	12	analysis	analysis	NOUN
ajtas-542	4	13	in	in	ADP
ajtas-542	4	14	solving	solve	VERB
ajtas-542	4	15	trigonometric	trigonometric	ADJ
ajtas-542	4	16	equations	equation	NOUN
ajtas-542	4	17	.	.	PUNCT
ajtas-542	5	1	1	1	X
ajtas-542	5	2	.	.	X
ajtas-542	5	3	using	use	VERB
ajtas-542	5	4	the	the	DET
ajtas-542	5	5	field	field	NOUN
ajtas-542	5	6	of	of	ADP
ajtas-542	5	7	definition	definition	NOUN
ajtas-542	5	8	of	of	ADP
ajtas-542	5	9	the	the	DET
ajtas-542	5	10	function	function	NOUN
ajtas-542	5	11	2	2	NUM
ajtas-542	5	12	.	.	PUNCT
ajtas-542	5	13	use	use	NOUN
ajtas-542	5	14	of	of	ADP
ajtas-542	5	15	the	the	DET
ajtas-542	5	16	property	property	NOUN
ajtas-542	5	17	of	of	ADP
ajtas-542	5	18	boundedness	boundedness	NOUN
ajtas-542	5	19	of	of	ADP
ajtas-542	5	20	the	the	DET
ajtas-542	5	21	function	function	NOUN
ajtas-542	5	22	3	3	NUM
ajtas-542	5	23	.	.	PUNCT
ajtas-542	5	24	using	use	VERB
ajtas-542	5	25	properties	property	NOUN
ajtas-542	5	26	of	of	ADP
ajtas-542	5	27	sine	sine	NOUN
ajtas-542	5	28	and	and	CCONJ
ajtas-542	5	29	cosine	cosine	NOUN
ajtas-542	5	30	functions	function	NOUN
ajtas-542	5	31	4	4	NUM
ajtas-542	5	32	.	.	PUNCT
ajtas-542	5	33	avoiding	avoid	VERB
ajtas-542	5	34	numerical	numerical	ADJ
ajtas-542	5	35	inequalities	inequality	NOUN
ajtas-542	5	36	.	.	PUNCT
ajtas-542	6	1	1	1	X
ajtas-542	6	2	.	.	X
ajtas-542	6	3	using	use	VERB
ajtas-542	6	4	the	the	DET
ajtas-542	6	5	field	field	NOUN
ajtas-542	6	6	of	of	ADP
ajtas-542	6	7	definition	definition	NOUN
ajtas-542	6	8	of	of	ADP
ajtas-542	6	9	the	the	DET
ajtas-542	6	10	function	function	NOUN
ajtas-542	6	11	1	1	NUM
ajtas-542	6	12	.	.	NOUN
ajtas-542	6	13	example	example	NOUN
ajtas-542	6	14	tgxxx	tgxxx	VERB
ajtas-542	6	15	+	+	NOUN
ajtas-542	6	16	−=	−=	ADJ
ajtas-542	6	17	4	4	NUM
ajtas-542	6	18	sinsin	sinsin	NOUN
ajtas-542	6	19	solve	solve	NOUN
ajtas-542	6	20	equation	equation	NOUN
ajtas-542	6	21	(	(	PUNCT
ajtas-542	6	22	1	1	NUM
ajtas-542	6	23	)	)	PUNCT
ajtas-542	6	24	.	.	PUNCT
ajtas-542	7	1	solving	solve	VERB
ajtas-542	7	2	.	.	PUNCT
ajtas-542	8	1	the	the	DET
ajtas-542	8	2	field	field	NOUN
ajtas-542	8	3	of	of	ADP
ajtas-542	8	4	definition	definition	NOUN
ajtas-542	8	5	of	of	ADP
ajtas-542	8	6	eq	eq	NOUN
ajtas-542	8	7	consists	consist	VERB
ajtas-542	8	8	of	of	ADP
ajtas-542	8	9	from	from	ADP
ajtas-542	8	10	this	this	DET
ajtas-542	8	11	zkkx	zkkx	PROPN
ajtas-542	8	12	=	=	PROPN
ajtas-542	8	13	,	,	PUNCT
ajtas-542	8	14			PROPN
ajtas-542	8	15	.	.	PUNCT
ajtas-542	9	1	x	x	PUNCT
ajtas-542	9	2	putting	put	VERB
ajtas-542	9	3	this	this	DET
ajtas-542	9	4	value	value	NOUN
ajtas-542	9	5	of	of	ADP
ajtas-542	9	6	in	in	ADP
ajtas-542	9	7	equation	equation	NOUN
ajtas-542	9	8	(	(	PUNCT
ajtas-542	9	9	1	1	NUM
ajtas-542	9	10	)	)	PUNCT
ajtas-542	9	11	,	,	PUNCT
ajtas-542	9	12	we	we	PRON
ajtas-542	9	13	see	see	VERB
ajtas-542	9	14	that	that	SCONJ
ajtas-542	9	15	its	its	PRON
ajtas-542	9	16	right	right	NOUN
ajtas-542	9	17	and	and	CCONJ
ajtas-542	9	18	left	leave	VERB
ajtas-542	9	19	sides	side	NOUN
ajtas-542	9	20	are	be	AUX
ajtas-542	9	21	equal	equal	ADJ
ajtas-542	9	22	to	to	ADP
ajtas-542	9	23	0	0	NUM
ajtas-542	9	24	.	.	PUNCT
ajtas-542	10	1	so	so	ADV
ajtas-542	10	2	everyone	everyone	PRON
ajtas-542	10	3	zkkx	zkkx	X
ajtas-542	10	4	=	=	PROPN
ajtas-542	10	5	;	;	PUNCT
ajtas-542	10	6			X
ajtas-542	10	7	will	will	AUX
ajtas-542	10	8	be	be	AUX
ajtas-542	10	9	the	the	DET
ajtas-542	10	10	root	root	NOUN
ajtas-542	10	11	of	of	ADP
ajtas-542	10	12	the	the	DET
ajtas-542	10	13	equation	equation	NOUN
ajtas-542	10	14	.	.	PUNCT
ajtas-542	11	1	j	j	NOUN
ajtas-542	11	2	:	:	PUNCT
ajtas-542	11	3	zkkx	zkkx	X
ajtas-542	11	4	=	=	X
ajtas-542	11	5	;	;	PUNCT
ajtas-542	11	6			ADJ
ajtas-542	11	7	.	.	NOUN
ajtas-542	12	1	2	2	X
ajtas-542	12	2	.	.	X
ajtas-542	12	3	use	use	NOUN
ajtas-542	12	4	of	of	ADP
ajtas-542	12	5	the	the	DET
ajtas-542	12	6	property	property	NOUN
ajtas-542	12	7	of	of	ADP
ajtas-542	12	8	boundedness	boundedness	NOUN
ajtas-542	12	9	of	of	ADP
ajtas-542	12	10	the	the	DET
ajtas-542	12	11	function	function	NOUN
ajtas-542	12	12	example	example	NOUN
ajtas-542	13	1	2	2	NUM
ajtas-542	13	2	.	.	X
ajtas-542	13	3	1log1)sin(cos	1log1)sin(cos	NUM
ajtas-542	13	4	22	22	NUM
ajtas-542	13	5	5	5	NUM
ajtas-542	13	6	2	2	NUM
ajtas-542	13	7	+	+	ADJ
ajtas-542	13	8	+	+	ADJ
ajtas-542	13	9	+	+	NOUN
ajtas-542	13	10	=	=	ADJ
ajtas-542	13	11	xxxx	xxxx	ADJ
ajtas-542	13	12	solve	solve	NOUN
ajtas-542	13	13	equation	equation	NOUN
ajtas-542	13	14	(	(	PUNCT
ajtas-542	13	15	2	2	NUM
ajtas-542	13	16	)	)	PUNCT
ajtas-542	13	17	.	.	PUNCT
ajtas-542	14	1	solution	solution	NOUN
ajtas-542	14	2	:	:	PUNCT
ajtas-542	14	3	the	the	DET
ajtas-542	14	4	equation	equation	NOUN
ajtas-542	14	5	is	be	AUX
ajtas-542	14	6	defined	define	VERB
ajtas-542	14	7	for	for	ADP
ajtas-542	14	8	all	all	DET
ajtas-542	14	9	real	real	ADJ
ajtas-542	14	10	x	x	NOUN
ajtas-542	14	11	's	's	PART
ajtas-542	14	12	.	.	PUNCT
ajtas-542	15	1	for	for	ADP
ajtas-542	15	2	an	an	DET
ajtas-542	15	3	arbitrary	arbitrary	ADJ
ajtas-542	15	4	x	x	SYM
ajtas-542	15	5			NUM
ajtas-542	15	6			NUM
ajtas-542	15	7			PROPN
ajtas-542	15	8			NUM
ajtas-542	15	9			NUM
ajtas-542	15	10			NUM
ajtas-542	15	11			ADV
ajtas-542	15	12	+	+	NOUN
ajtas-542	15	13	−	−	X
ajtas-542	15	14			NUM
ajtas-542	15	15	znnx	znnx	PROPN
ajtas-542	15	16	x	x	PUNCT
ajtas-542	15	17	x	x	X
ajtas-542	15	18	;	;	PUNCT
ajtas-542	15	19	2	2	NUM
ajtas-542	15	20	0sin	0sin	NUM
ajtas-542	15	21	0sin	0sin	PROPN
ajtas-542	15	22			PROPN
ajtas-542	15	23			PROPN
ajtas-542	15	24	american	american	ADJ
ajtas-542	15	25	journal	journal	PROPN
ajtas-542	15	26	of	of	ADP
ajtas-542	15	27	pedagogical	pedagogical	ADJ
ajtas-542	15	28	and	and	CCONJ
ajtas-542	15	29	educational	educational	ADJ
ajtas-542	15	30	research	research	NOUN
ajtas-542	15	31	volume	volume	NOUN
ajtas-542	15	32	10	10	NUM
ajtas-542	15	33	,	,	PUNCT
ajtas-542	15	34	mar	mar	PROPN
ajtas-542	15	35	.	.	PROPN
ajtas-542	15	36	,	,	PUNCT
ajtas-542	15	37	2023	2023	NUM
ajtas-542	15	38	p	p	NOUN
ajtas-542	15	39	a	a	DET
ajtas-542	15	40	g	g	NOUN
ajtas-542	15	41	e	e	NOUN
ajtas-542	15	42	|	|	ADV
ajtas-542	15	43	148	148	NUM
ajtas-542	15	44	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-542	15	45	11log1,1)sin(cos	11log1,1)sin(cos	NUM
ajtas-542	15	46	22	22	NUM
ajtas-542	15	47	5	5	NUM
ajtas-542	15	48	2	2	NUM
ajtas-542	15	49	+++	+++	NOUN
ajtas-542	15	50	xxxx	xxxx	ADV
ajtas-542	15	51	as	as	ADP
ajtas-542	15	52	a	a	DET
ajtas-542	15	53	result	result	NOUN
ajtas-542	15	54	,	,	PUNCT
ajtas-542	15	55	equation	equation	NOUN
ajtas-542	15	56	(	(	PUNCT
ajtas-542	15	57	2	2	X
ajtas-542	15	58	)	)	PUNCT
ajtas-542	15	59	is	be	AUX
ajtas-542	15	60	equivalent	equivalent	ADJ
ajtas-542	15	61	to	to	ADP
ajtas-542	15	62	the	the	DET
ajtas-542	15	63	following	follow	VERB
ajtas-542	15	64	system	system	NOUN
ajtas-542	15	65	of	of	ADP
ajtas-542	15	66	equations	equation	NOUN
ajtas-542	15	67	.	.	PUNCT
ajtas-542	16	1	the	the	DET
ajtas-542	16	2	general	general	ADJ
ajtas-542	16	3	solution	solution	NOUN
ajtas-542	16	4	x=0	x=0	PROPN
ajtas-542	16	5	follows	follow	VERB
ajtas-542	16	6	from	from	ADP
ajtas-542	16	7	this	this	DET
ajtas-542	16	8	system	system	NOUN
ajtas-542	16	9	.	.	PUNCT
ajtas-542	17	1	answer	answer	NOUN
ajtas-542	17	2	:	:	PUNCT
ajtas-542	17	3	x=0	x=0	NUM
ajtas-542	17	4	example	example	NOUN
ajtas-542	18	1	3	3	X
ajtas-542	18	2	.	.	X
ajtas-542	19	1	solve	solve	VERB
ajtas-542	19	2	the	the	DET
ajtas-542	19	3	equation	equation	NOUN
ajtas-542	19	4	.	.	PUNCT
ajtas-542	20	1	(	(	PUNCT
ajtas-542	20	2	)	)	PUNCT
ajtas-542	20	3	(	(	PUNCT
ajtas-542	20	4	)	)	PUNCT
ajtas-542	20	5	x	x	X
ajtas-542	20	6	x	x	SYM
ajtas-542	20	7	xx	xx	NUM
ajtas-542	20	8	+	+	CCONJ
ajtas-542	21	1	+	+	ADJ
ajtas-542	21	2	+	+	NOUN
ajtas-542	21	3	=	=	ADJ
ajtas-542	21	4	+	+	CCONJ
ajtas-542	21	5	5log	5log	NUM
ajtas-542	21	6	1	1	NUM
ajtas-542	21	7	5log	5log	NUM
ajtas-542	21	8	6	6	NUM
ajtas-542	21	9	cos2	cos2	NOUN
ajtas-542	21	10	5	5	NUM
ajtas-542	21	11	5	5	NUM
ajtas-542	21	12	2	2	NUM
ajtas-542	21	13	2	2	NUM
ajtas-542	21	14	eat	eat	NOUN
ajtas-542	21	15	:	:	PUNCT
ajtas-542	21	16	(	(	PUNCT
ajtas-542	21	17	)	)	PUNCT
ajtas-542	21	18	ye	ye	NOUN
ajtas-542	21	19	according	accord	VERB
ajtas-542	21	20	to	to	ADP
ajtas-542	21	21	(	(	PUNCT
ajtas-542	21	22	)	)	PUNCT
ajtas-542	21	23	(	(	PUNCT
ajtas-542	21	24	)	)	PUNCT
ajtas-542	21	25	(	(	PUNCT
ajtas-542	21	26	)	)	PUNCT
ajtas-542	21	27	(	(	PUNCT
ajtas-542	21	28	)	)	PUNCT
ajtas-542	21	29	0	0	NUM
ajtas-542	21	30	2	2	NUM
ajtas-542	21	31	5log	5log	NUM
ajtas-542	21	32	1	1	NUM
ajtas-542	21	33	5log	5log	NUM
ajtas-542	21	34	2	2	NUM
ajtas-542	21	35	6	6	NUM
ajtas-542	21	36	cos2	cos2	NOUN
ajtas-542	21	37	2	2	NUM
ajtas-542	21	38	5log	5log	NUM
ajtas-542	21	39	1	1	NUM
ajtas-542	21	40	5log	5log	NUM
ajtas-542	21	41	2	2	NUM
ajtas-542	21	42	6	6	NUM
ajtas-542	21	43	cos2	cos2	NOUN
ajtas-542	21	44	5	5	NUM
ajtas-542	21	45	5	5	NUM
ajtas-542	21	46	2	2	NUM
ajtas-542	21	47	2	2	NUM
ajtas-542	21	48	5	5	NUM
ajtas-542	21	49	5	5	NUM
ajtas-542	21	50	2	2	NUM
ajtas-542	21	51	2	2	NUM
ajtas-542	21	52	=	=	NOUN
ajtas-542	21	53			NOUN
ajtas-542	21	54			NUM
ajtas-542	21	55			NUM
ajtas-542	21	56			PROPN
ajtas-542	21	57			NUM
ajtas-542	21	58			NUM
ajtas-542	21	59			NUM
ajtas-542	21	60			ADP
ajtas-542	22	1	=	=	PUNCT
ajtas-542	23	1	+	+	PUNCT
ajtas-542	24	1	+	+	ADJ
ajtas-542	24	2	+	+	NOUN
ajtas-542	24	3	=	=	SYM
ajtas-542	24	4	+	+	NUM
ajtas-542	24	5			NOUN
ajtas-542	24	6			NUM
ajtas-542	24	7			NUM
ajtas-542	24	8			PROPN
ajtas-542	24	9			NUM
ajtas-542	24	10			NUM
ajtas-542	24	11			NUM
ajtas-542	24	12			ADP
ajtas-542	24	13			NUM
ajtas-542	24	14	+	+	PUNCT
ajtas-542	25	1	+	+	ADJ
ajtas-542	25	2	+	+	NOUN
ajtas-542	25	3			NOUN
ajtas-542	25	4	+	+	CCONJ
ajtas-542	25	5	x	x	SYM
ajtas-542	25	6	x	x	PUNCT
ajtas-542	25	7	x	x	PUNCT
ajtas-542	25	8	xx	xx	NUM
ajtas-542	25	9	x	x	SYM
ajtas-542	25	10	x	x	SYM
ajtas-542	25	11	xx	xx	NUM
ajtas-542	25	12	it	it	PRON
ajtas-542	25	13	follows	follow	VERB
ajtas-542	25	14	that	that	DET
ajtas-542	25	15	answer	answer	NOUN
ajtas-542	25	16	:	:	PUNCT
ajtas-542	25	17	x=0	x=0	PROPN
ajtas-542	25	18	3	3	X
ajtas-542	25	19	.	.	PUNCT
ajtas-542	25	20	using	use	VERB
ajtas-542	25	21	properties	property	NOUN
ajtas-542	25	22	of	of	ADP
ajtas-542	25	23	sine	sine	NOUN
ajtas-542	25	24	and	and	CCONJ
ajtas-542	25	25	cosine	cosine	NOUN
ajtas-542	25	26	functions	function	NOUN
ajtas-542	25	27	example	example	VERB
ajtas-542	25	28	4	4	NUM
ajtas-542	25	29	27cos3cos	27cos3cos	NUM
ajtas-542	25	30	113	113	NUM
ajtas-542	25	31	−=+	−=+	NOUN
ajtas-542	25	32	xx	xx	NUM
ajtas-542	25	33	solve	solve	VERB
ajtas-542	25	34	the	the	DET
ajtas-542	25	35	equation	equation	NOUN
ajtas-542	25	36	.	.	PUNCT
ajtas-542	26	1	solution	solution	NOUN
ajtas-542	26	2	:	:	PUNCT
ajtas-542	26	3	if	if	SCONJ
ajtas-542	26	4	0x	0x	NOUN
ajtas-542	26	5	is	be	AUX
ajtas-542	26	6	a	a	DET
ajtas-542	26	7	solution	solution	NOUN
ajtas-542	26	8	of	of	ADP
ajtas-542	26	9	the	the	DET
ajtas-542	26	10	equation	equation	NOUN
ajtas-542	26	11	,	,	PUNCT
ajtas-542	26	12	then	then	ADV
ajtas-542	26	13	13cos	13cos	X
ajtas-542	26	14	0	0	NUM
ajtas-542	26	15	−=x	−=x	X
ajtas-542	26	16	(	(	PUNCT
ajtas-542	26	17	otherwise	otherwise	ADV
ajtas-542	26	18	17cos	17co	NOUN
ajtas-542	26	19	0	0	NUM
ajtas-542	26	20	−x	−x	NOUN
ajtas-542	26	21	it	it	PRON
ajtas-542	26	22	can	can	AUX
ajtas-542	26	23	not	not	PART
ajtas-542	26	24	be	be	AUX
ajtas-542	26	25	)	)	PUNCT
ajtas-542	26	26	.	.	PUNCT
ajtas-542	27	1	so	so	ADV
ajtas-542	27	2	,	,	PUNCT
ajtas-542	27	3	17cos	17cos	X
ajtas-542	27	4	0	0	NUM
ajtas-542	27	5	−=x	−=x	PUNCT
ajtas-542	27	6	as	as	ADP
ajtas-542	27	7	a	a	DET
ajtas-542	27	8	result	result	NOUN
ajtas-542	27	9	,	,	PUNCT
ajtas-542	27	10	the	the	DET
ajtas-542	27	11	arbitrary	arbitrary	ADJ
ajtas-542	27	12	solution	solution	NOUN
ajtas-542	27	13	of	of	ADP
ajtas-542	27	14	the	the	DET
ajtas-542	27	15	equation	equation	NOUN
ajtas-542	27	16	will	will	AUX
ajtas-542	27	17	be	be	AUX
ajtas-542	27	18	the	the	DET
ajtas-542	27	19	solution	solution	NOUN
ajtas-542	27	20	of	of	ADP
ajtas-542	27	21	the	the	DET
ajtas-542	27	22	following	follow	VERB
ajtas-542	27	23	system	system	NOUN
ajtas-542	27	24	.	.	PUNCT
ajtas-542	28	1			PROPN
ajtas-542	28	2			NUM
ajtas-542	28	3			NOUN
ajtas-542	28	4	−=	−=	ADJ
ajtas-542	28	5	−=	−=	X
ajtas-542	28	6	17cos	17co	NOUN
ajtas-542	28	7	13cos	13co	NOUN
ajtas-542	28	8	x	x	SYM
ajtas-542	28	9	x	x	X
ajtas-542	28	10	arbitrary	arbitrary	ADJ
ajtas-542	28	11	solution	solution	NOUN
ajtas-542	28	12	of	of	ADP
ajtas-542	28	13	the	the	DET
ajtas-542	28	14	system	system	NOUN
ajtas-542	28	15	is	be	AUX
ajtas-542	28	16	the	the	DET
ajtas-542	28	17	solution	solution	NOUN
ajtas-542	28	18	of	of	ADP
ajtas-542	28	19	the	the	DET
ajtas-542	28	20	equation	equation	NOUN
ajtas-542	28	21	.	.	PUNCT
ajtas-542	29	1	therefore	therefore	ADV
ajtas-542	29	2	,	,	PUNCT
ajtas-542	29	3	the	the	DET
ajtas-542	29	4	equation	equation	NOUN
ajtas-542	29	5	is	be	AUX
ajtas-542	29	6	as	as	ADV
ajtas-542	29	7	strong	strong	ADJ
ajtas-542	29	8	as	as	ADP
ajtas-542	29	9	the	the	DET
ajtas-542	29	10	above	above	ADJ
ajtas-542	29	11	system	system	NOUN
ajtas-542	29	12	.	.	PUNCT
ajtas-542	30	1	the	the	DET
ajtas-542	30	2	first	first	ADJ
ajtas-542	30	3	equation	equation	NOUN
ajtas-542	30	4	of	of	ADP
ajtas-542	30	5	the	the	DET
ajtas-542	30	6	system	system	NOUN
ajtas-542	30	7	zk	zk	PROPN
ajtas-542	30	8	k	k	PROPN
ajtas-542	30	9	xk	xk	PROPN
ajtas-542	30	10	+=	+=	PROPN
ajtas-542	30	11	,	,	PUNCT
ajtas-542	30	12	3	3	NUM
ajtas-542	30	13	2	2	NUM
ajtas-542	30	14	3	3	NUM
ajtas-542	30	15			PROPN
ajtas-542	30	16	has	have	VERB
ajtas-542	30	17	a	a	DET
ajtas-542	30	18	solution	solution	NOUN
ajtas-542	30	19	.	.	PUNCT
ajtas-542	31	1	from	from	ADP
ajtas-542	31	2	these	these	DET
ajtas-542	31	3	solutions	solution	NOUN
ajtas-542	31	4	,	,	PUNCT
ajtas-542	31	5	we	we	PRON
ajtas-542	31	6	find	find	VERB
ajtas-542	31	7	the	the	DET
ajtas-542	31	8	ones	one	NOUN
ajtas-542	31	9	that	that	PRON
ajtas-542	31	10	satisfy	satisfy	VERB
ajtas-542	31	11	the	the	DET
ajtas-542	31	12	system	system	NOUN
ajtas-542	31	13	equation	equation	NOUN
ajtas-542	31	14	2	2	NUM
ajtas-542	31	15	.	.	PUNCT
ajtas-542	32	1	these	these	PRON
ajtas-542	32	2	satisfy	satisfy	VERB
ajtas-542	32	3	the	the	DET
ajtas-542	32	4	following	follow	VERB
ajtas-542	32	5	equality	equality	NOUN
ajtas-542	32	6	zm	zm	NOUN
ajtas-542	32	7	are	be	AUX
ajtas-542	32	8	numbers	number	NOUN
ajtas-542	32	9	.	.	PUNCT
ajtas-542	33	1	m	m	VERB
ajtas-542	33	2	k	k	X
ajtas-542	34	1			PROPN
ajtas-542	34	2			PROPN
ajtas-542	34	3	2	2	NUM
ajtas-542	34	4	3	3	NUM
ajtas-542	34	5	14	14	NUM
ajtas-542	34	6	3	3	NUM
ajtas-542	34	7	7	7	NUM
ajtas-542	34	8	+	+	NOUN
ajtas-542	34	9	=	=	NOUN
ajtas-542	34	10	+	+	X
ajtas-542	34	11	we	we	PRON
ajtas-542	34	12	write	write	VERB
ajtas-542	34	13	in	in	ADP
ajtas-542	34	14	the	the	DET
ajtas-542	34	15	following	follow	VERB
ajtas-542	34	16	form	form	NOUN
ajtas-542	34	17	:	:	PUNCT
ajtas-542	34	18	7	7	NUM
ajtas-542	34	19	23	23	NUM
ajtas-542	34	20	−	−	NOUN
ajtas-542	34	21	=	=	SYM
ajtas-542	34	22	m	m	VERB
ajtas-542	34	23	k	k	NOUN
ajtas-542	34	24	equality	equality	NOUN
ajtas-542	34	25	since	since	SCONJ
ajtas-542	34	26	k	k	PROPN
ajtas-542	34	27	and	and	CCONJ
ajtas-542	34	28	m	m	PROPN
ajtas-542	34	29	are	be	AUX
ajtas-542	34	30	integers	integer	NOUN
ajtas-542	34	31	zttm	zttm	PROPN
ajtas-542	34	32	+=	+=	PUNCT
ajtas-542	34	33	,	,	PUNCT
ajtas-542	34	34	37	37	NUM
ajtas-542	34	35	is	be	AUX
ajtas-542	34	36	appropriate	appropriate	ADJ
ajtas-542	34	37	,	,	PUNCT
ajtas-542	34	38	but	but	CCONJ
ajtas-542	34	39	in	in	ADP
ajtas-542	34	40	this	this	DET
ajtas-542	34	41	zttk	zttk	NOUN
ajtas-542	34	42	+=	+=	PUNCT
ajtas-542	34	43	,	,	PUNCT
ajtas-542	34	44	13	13	NUM
ajtas-542	34	45	so	so	ADV
ajtas-542	34	46	,	,	PUNCT
ajtas-542	34	47	this	this	PRON
ajtas-542	34	48	is	be	AUX
ajtas-542	34	49	the	the	DET
ajtas-542	34	50	solution	solution	NOUN
ajtas-542	34	51	of	of	ADP
ajtas-542	34	52	the	the	DET
ajtas-542	34	53	system	system	NOUN
ajtas-542	34	54	kx	kx	PROPN
ajtas-542	35	1	that	that	SCONJ
ajtas-542	35	2	.,13	.,13	PROPN
ajtas-542	35	3	zttk	zttk	PROPN
ajtas-542	35	4	+=	+=	PUNCT
ajtas-542	35	5	zttx	zttx	PROPN
ajtas-542	35	6	++=	++=	PROPN
ajtas-542	35	7	,	,	PUNCT
ajtas-542	35	8	3	3	NUM
ajtas-542	35	9	2	2	NUM
ajtas-542	35	10	2	2	NUM
ajtas-542	35	11	3	3	NUM
ajtas-542	35	12			PROPN
ajtas-542	35	13			NOUN
ajtas-542	35	14			NOUN
ajtas-542	35	15	so	so	ADV
ajtas-542	35	16	the	the	DET
ajtas-542	35	17	general	general	ADJ
ajtas-542	35	18	answer	answer	NOUN
ajtas-542	35	19	is	be	AUX
ajtas-542	35	20	:	:	PUNCT
ajtas-542	35	21	zttx	zttx	PROPN
ajtas-542	35	22	+=	+=	PUNCT
ajtas-542	35	23	,	,	PUNCT
ajtas-542	35	24	2	2	NUM
ajtas-542	35	25	4	4	NUM
ajtas-542	35	26	.	.	PUNCT
ajtas-542	35	27	avoiding	avoid	VERB
ajtas-542	35	28	numerical	numerical	ADJ
ajtas-542	35	29	inequalities	inequality	NOUN
ajtas-542	35	30	.	.	PUNCT
ajtas-542	36	1			PROPN
ajtas-542	36	2			NUM
ajtas-542	36	3			NUM
ajtas-542	36	4			ADP
ajtas-542	37	1	=	=	PUNCT
ajtas-542	38	1	+	+	NOUN
ajtas-542	38	2	+	+	NUM
ajtas-542	38	3	=	=	NOUN
ajtas-542	38	4	01log	01log	NOUN
ajtas-542	38	5	1)sin(cos	1)sin(cos	NUM
ajtas-542	38	6	22	22	NUM
ajtas-542	38	7	5	5	NUM
ajtas-542	38	8	2	2	NUM
ajtas-542	38	9	xx	xx	NUM
ajtas-542	38	10	xx	xx	NUM
ajtas-542	38	11	american	american	ADJ
ajtas-542	38	12	journal	journal	PROPN
ajtas-542	38	13	of	of	ADP
ajtas-542	38	14	pedagogical	pedagogical	ADJ
ajtas-542	38	15	and	and	CCONJ
ajtas-542	38	16	educational	educational	ADJ
ajtas-542	38	17	research	research	NOUN
ajtas-542	38	18	volume	volume	NOUN
ajtas-542	38	19	10	10	NUM
ajtas-542	38	20	,	,	PUNCT
ajtas-542	38	21	mar	mar	PROPN
ajtas-542	38	22	.	.	PROPN
ajtas-542	38	23	,	,	PUNCT
ajtas-542	38	24	2023	2023	NUM
ajtas-542	38	25	p	p	NOUN
ajtas-542	38	26	a	a	DET
ajtas-542	38	27	g	g	NOUN
ajtas-542	38	28	e	e	NOUN
ajtas-542	38	29	|	|	ADV
ajtas-542	38	30	149	149	NUM
ajtas-542	38	31	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-542	38	32	example	example	NOUN
ajtas-542	38	33	5	5	NUM
ajtas-542	38	34	.	.	PUNCT
ajtas-542	39	1	(	(	PUNCT
ajtas-542	39	2	)	)	PUNCT
ajtas-542	39	3	2	2	NUM
ajtas-542	39	4	2	2	NUM
ajtas-542	39	5	228	228	NUM
ajtas-542	39	6	28	28	NUM
ajtas-542	39	7	4	4	NUM
ajtas-542	39	8	cos42cossin	cos42cossin	NOUN
ajtas-542	39	9	2cos	2co	NOUN
ajtas-542	39	10	1	1	NUM
ajtas-542	39	11	sin	sin	NOUN
ajtas-542	39	12	1	1	NUM
ajtas-542	39	13	xxx	xxx	NOUN
ajtas-542	39	14	xx	xx	NOUN
ajtas-542	39	15	−=+	−=+	NOUN
ajtas-542	39	16			NOUN
ajtas-542	39	17			NOUN
ajtas-542	39	18			PROPN
ajtas-542	39	19			PROPN
ajtas-542	39	20			NOUN
ajtas-542	39	21	+	+	CCONJ
ajtas-542	39	22			PROPN
ajtas-542	39	23	solve	solve	NOUN
ajtas-542	39	24	the	the	DET
ajtas-542	39	25	equation.solution	equation.solution	NOUN
ajtas-542	39	26	:	:	PUNCT
ajtas-542	39	27	for	for	ADP
ajtas-542	39	28	arbitrary	arbitrary	ADJ
ajtas-542	39	29	positive	positive	ADJ
ajtas-542	39	30	numbers	number	NOUN
ajtas-542	39	31	and	and	CCONJ
ajtas-542	39	32	4	4	NUM
ajtas-542	39	33	)	)	PUNCT
ajtas-542	39	34	(	(	PUNCT
ajtas-542	39	35	11	11	NUM
ajtas-542	39	36	+	+	NOUN
ajtas-542	39	37			NOUN
ajtas-542	39	38			PRON
ajtas-542	39	39			PROPN
ajtas-542	39	40			PROPN
ajtas-542	39	41			NOUN
ajtas-542	40	1	+	+	CCONJ
ajtas-542	40	2	ba	ba	NOUN
ajtas-542	40	3	ba	ba	NOUN
ajtas-542	40	4	we	we	PRON
ajtas-542	40	5	know	know	VERB
ajtas-542	40	6	that	that	SCONJ
ajtas-542	40	7	inequality	inequality	NOUN
ajtas-542	40	8	is	be	AUX
ajtas-542	40	9	reasonable	reasonable	ADJ
ajtas-542	40	10	.	.	PUNCT
ajtas-542	41	1	in	in	ADP
ajtas-542	41	2	the	the	DET
ajtas-542	41	3	field	field	NOUN
ajtas-542	41	4	of	of	ADP
ajtas-542	41	5	definition	definition	NOUN
ajtas-542	41	6	of	of	ADP
ajtas-542	41	7	eq	eq	NOUN
ajtas-542	41	8	02cos,0sin	02cos,0sin	NUM
ajtas-542	41	9	28	28	NUM
ajtas-542	42	1			NOUN
ajtas-542	42	2	xx	xx	NUM
ajtas-542	42	3	using	use	VERB
ajtas-542	42	4	the	the	DET
ajtas-542	42	5	inequality	inequality	NOUN
ajtas-542	42	6	,	,	PUNCT
ajtas-542	42	7	we	we	PRON
ajtas-542	42	8	see	see	VERB
ajtas-542	42	9	that	that	SCONJ
ajtas-542	42	10	the	the	DET
ajtas-542	42	11	left	left	ADJ
ajtas-542	42	12	side	side	NOUN
ajtas-542	42	13	of	of	ADP
ajtas-542	42	14	the	the	DET
ajtas-542	42	15	equation	equation	NOUN
ajtas-542	42	16	is	be	AUX
ajtas-542	42	17	not	not	PART
ajtas-542	42	18	less	less	ADJ
ajtas-542	42	19	than	than	ADP
ajtas-542	42	20	4	4	NUM
ajtas-542	42	21	.	.	PUNCT
ajtas-542	43	1	at	at	ADP
ajtas-542	43	2	the	the	DET
ajtas-542	43	3	same	same	ADJ
ajtas-542	43	4	time	time	NOUN
ajtas-542	43	5	,	,	PUNCT
ajtas-542	43	6	in	in	ADP
ajtas-542	43	7	the	the	DET
ajtas-542	43	8	field	field	NOUN
ajtas-542	43	9	of	of	ADP
ajtas-542	43	10	definition	definition	NOUN
ajtas-542	43	11	of	of	ADP
ajtas-542	43	12	eq	eq	NOUN
ajtas-542	43	13	4	4	NUM
ajtas-542	43	14	4	4	NUM
ajtas-542	43	15	cos0	cos0	NOUN
ajtas-542	43	16	2	2	NUM
ajtas-542	43	17	2	2	NUM
ajtas-542	43	18	2	2	NUM
ajtas-542	43	19	−	−	PROPN
ajtas-542	43	20	x	x	SYM
ajtas-542	43	21			PROPN
ajtas-542	43	22	as	as	ADP
ajtas-542	43	23	a	a	DET
ajtas-542	43	24	result	result	NOUN
ajtas-542	43	25	,	,	PUNCT
ajtas-542	43	26	the	the	DET
ajtas-542	43	27	equation	equation	NOUN
ajtas-542	43	28	is	be	AUX
ajtas-542	43	29	equivalent	equivalent	ADJ
ajtas-542	43	30	to	to	ADP
ajtas-542	43	31	the	the	DET
ajtas-542	43	32	following	follow	VERB
ajtas-542	43	33	system	system	NOUN
ajtas-542	43	34	of	of	ADP
ajtas-542	43	35	equations	equation	NOUN
ajtas-542	43	36	.	.	PUNCT
ajtas-542	44	1	(	(	PUNCT
ajtas-542	44	2	)	)	PUNCT
ajtas-542	44	3			NUM
ajtas-542	44	4			NUM
ajtas-542	44	5			PROPN
ajtas-542	44	6			NUM
ajtas-542	44	7			NUM
ajtas-542	44	8			NUM
ajtas-542	44	9			ADP
ajtas-542	45	1	=	=	NOUN
ajtas-542	45	2	−	−	X
ajtas-542	45	3	=	=	SYM
ajtas-542	45	4	+	+	NOUN
ajtas-542	45	5			PROPN
ajtas-542	45	6			NOUN
ajtas-542	45	7			PRON
ajtas-542	45	8			PROPN
ajtas-542	45	9			PROPN
ajtas-542	45	10			NOUN
ajtas-542	46	1	+	+	CCONJ
ajtas-542	46	2	1	1	NUM
ajtas-542	46	3	4	4	NUM
ajtas-542	46	4	cos	co	NOUN
ajtas-542	46	5	42cossin	42cossin	PROPN
ajtas-542	46	6	2cos	2cos	ADJ
ajtas-542	46	7	1	1	NUM
ajtas-542	46	8	sin	sin	NOUN
ajtas-542	46	9	1	1	NUM
ajtas-542	46	10	2	2	NUM
ajtas-542	46	11	2	2	NUM
ajtas-542	46	12	2	2	NUM
ajtas-542	46	13	28	28	NUM
ajtas-542	46	14	28	28	NUM
ajtas-542	46	15	x	x	SYM
ajtas-542	46	16	xx	xx	NUM
ajtas-542	46	17	xx	xx	NUM
ajtas-542	47	1			PROPN
ajtas-542	48	1	so	so	ADV
ajtas-542	48	2	,	,	PUNCT
ajtas-542	48	3	2	2	NUM
ajtas-542	48	4	1	1	NUM
ajtas-542	48	5			NOUN
ajtas-542	48	6	=	=	NOUN
ajtas-542	48	7	x	x	X
ajtas-542	48	8	and	and	CCONJ
ajtas-542	48	9	2	2	NUM
ajtas-542	48	10	2	2	NUM
ajtas-542	48	11			NOUN
ajtas-542	48	12	−=x	−=x	X
ajtas-542	48	13	will	will	AUX
ajtas-542	48	14	be	be	AUX
ajtas-542	48	15	the	the	DET
ajtas-542	48	16	solutions	solution	NOUN
ajtas-542	48	17	of	of	ADP
ajtas-542	48	18	the	the	DET
ajtas-542	48	19	given	give	VERB
ajtas-542	48	20	equation	equation	NOUN
ajtas-542	48	21	.	.	PUNCT
ajtas-542	49	1	list	list	NOUN
ajtas-542	49	2	of	of	ADP
ajtas-542	49	3	used	use	VERB
ajtas-542	49	4	literature	literature	NOUN
ajtas-542	49	5	1	1	NUM
ajtas-542	49	6	.	.	PUNCT
ajtas-542	50	1	и.х	и.х	PROPN
ajtas-542	50	2	.	.	PROPN
ajtas-542	50	3	сивашинский	сивашинский	PROPN
ajtas-542	50	4	«	«	PUNCT
ajtas-542	50	5	элементарные	элементарные	NOUN
ajtas-542	50	6	функции	функции	PROPN
ajtas-542	50	7	и	и	PROPN
ajtas-542	50	8	графики	графики	NOUN
ajtas-542	50	9	»	»	PUNCT
ajtas-542	50	10	москва	москва	PROPN
ajtas-542	50	11	.	.	PUNCT
ajtas-542	51	1	“	"	PUNCT
ajtas-542	51	2	наука	наука	NOUN
ajtas-542	51	3	”	"	PUNCT
ajtas-542	51	4	1968г.[95,134	1968г.[95,134	NUM
ajtas-542	51	5	]	]	X
ajtas-542	51	6	2	2	NUM
ajtas-542	51	7	.	.	PUNCT
ajtas-542	51	8	t.	t.	PROPN
ajtas-542	51	9	karimov	karimov	PROPN
ajtas-542	51	10	,	,	PUNCT
ajtas-542	51	11	k.	k.	PROPN
ajtas-542	51	12	to‘raqulov	to‘raqulov	PROPN
ajtas-542	51	13	.	.	PUNCT
ajtas-542	52	1	s.	s.	PROPN
ajtas-542	52	2	abdullayev	abdullayev	PROPN
ajtas-542	52	3	.	.	PUNCT
ajtas-542	53	1	“	"	PUNCT
ajtas-542	53	2	maktabda	maktabda	ADJ
ajtas-542	53	3	tenglama	tenglama	NOUN
ajtas-542	53	4	va	va	PROPN
ajtas-542	53	5	tengsizliklar	tengsizliklar	PROPN
ajtas-542	53	6	”	"	PUNCT
ajtas-542	53	7	toshkent	toshkent	NOUN
ajtas-542	53	8	.	.	PUNCT
ajtas-542	54	1	“	"	PUNCT
ajtas-542	54	2	o‘qituvchi	o‘qituvchi	PROPN
ajtas-542	54	3	”	"	PUNCT
ajtas-542	54	4	,	,	PUNCT
ajtas-542	54	5	1992	1992	NUM
ajtas-542	54	6	yil.[54,86	yil.[54,86	NUM
ajtas-542	54	7	]	]	X
ajtas-542	54	8	3	3	X
ajtas-542	54	9	.	.	X
ajtas-542	54	10	turg’inov	turg’inov	NUM
ajtas-542	54	11	a.m	a.m	PROPN
ajtas-542	54	12	,	,	PUNCT
ajtas-542	54	13	asqaraliyeva	asqaraliyeva	PROPN
ajtas-542	54	14	m.a	m.a	PROPN
ajtas-542	54	15	matematika	matematika	PROPN
ajtas-542	54	16	to’garaklarida	to’garaklarida	PROPN
ajtas-542	54	17	o’quvchilarga	o’quvchilarga	NOUN
ajtas-542	54	18	ba’zi	ba’zi	NOUN
ajtas-542	54	19	tenglamalarni	tenglamalarni	VERB
ajtas-542	54	20	tenglamalar	tenglamalar	PROPN
ajtas-542	54	21	sistemasiga	sistemasiga	PROPN
ajtas-542	54	22	keltirib	keltirib	PROPN
ajtas-542	54	23	еchishni	еchishni	PROPN
ajtas-542	54	24	o’rgatish	o’rgatish	PROPN
ajtas-542	54	25	.	.	PROPN
ajtas-542	55	1	4	4	X
ajtas-542	55	2	.	.	X
ajtas-542	55	3	turginov	turginov	PROPN
ajtas-542	55	4	azizjon	azizjon	NOUN
ajtas-542	55	5	mamasaliyevich	mamasaliyevich	PROPN
ajtas-542	55	6	,	,	PUNCT
ajtas-542	55	7	asqaraliyeva	asqaraliyeva	PROPN
ajtas-542	55	8	muktasarkxon	muktasarkxon	PROPN
ajtas-542	55	9	azizjon	azizjon	PROPN
ajtas-542	55	10	kizi	kizi	PROPN
ajtas-542	55	11	a	a	DET
ajtas-542	55	12	non	non	ADJ
ajtas-542	55	13	–	–	PUNCT
ajtas-542	55	14	local	local	ADJ
ajtas-542	55	15	problem	problem	NOUN
ajtas-542	55	16	for	for	ADP
ajtas-542	55	17	a	a	DET
ajtas-542	55	18	third	third	ADJ
ajtas-542	55	19	-	-	PUNCT
ajtas-542	55	20	order	order	NOUN
ajtas-542	55	21	equation	equation	NOUN
ajtas-542	55	22	with	with	ADP
ajtas-542	55	23	multiple	multiple	ADJ
ajtas-542	55	24	chrarasteristics	chrarasteristic	NOUN
ajtas-542	55	25	vol.42,issue-05,2022	vol.42,issue-05,2022	NOUN
ajtas-542	55	26	pp.230	pp.230	PROPN
ajtas-542	55	27	-	-	PUNCT
ajtas-542	55	28	241	241	NUM
ajtas-542	55	29	5	5	NUM
ajtas-542	55	30	.	.	PUNCT
ajtas-542	55	31	тургинов	тургинов	PROPN
ajtas-542	55	32	а.м	а.м	PROPN
ajtas-542	55	33	.	.	PROPN
ajtas-542	55	34	,	,	PUNCT
ajtas-542	55	35	асқаралиева	асқаралиева	PROPN
ajtas-542	56	1	м.а	м.а	PROPN
ajtas-542	56	2	.	.	PROPN
ajtas-542	57	1	об	об	PROPN
ajtas-542	57	2	одной	одной	PROPN
ajtas-542	57	3	нелокальной	нелокальной	PROPN
ajtas-542	57	4	задаче	задаче	VERB
ajtas-542	57	5	для	для	PROPN
ajtas-542	57	6	уравнения	уравнения	PROPN
ajtas-542	57	7	третьего	третьего	PROPN
ajtas-542	57	8	порядка	порядка	PROPN
ajtas-542	57	9	с	с	PROPN
ajtas-542	57	10	нелокальным	нелокальным	PROPN
ajtas-542	57	11	условиям	условиям	PROPN
ajtas-542	57	12	.	.	PUNCT
ajtas-542	58	1	ijssir	ijssir	PROPN
ajtas-542	58	2	,	,	PUNCT
ajtas-542	58	3	vol	vol	NOUN
ajtas-542	58	4	.	.	PROPN
ajtas-542	58	5	11	11	NUM
ajtas-542	58	6	,	,	PUNCT
ajtas-542	58	7	no	no	INTJ
ajtas-542	58	8	.	.	NOUN
ajtas-542	58	9	06	06	NUM
ajtas-542	58	10	.	.	PUNCT
ajtas-542	59	1	june	june	PROPN
ajtas-542	59	2	2022	2022	NUM
ajtas-542	59	3	,	,	PUNCT
ajtas-542	59	4	с	с	PROPN
ajtas-542	59	5	66	66	NUM
ajtas-542	59	6	-	-	SYM
ajtas-542	59	7	73	73	NUM
ajtas-542	59	8	.	.	PUNCT