id	sid	tid	token	lemma	pos
ajtas-98	1	1	american	american	PROPN
ajtas-98	1	2	journal	journal	PROPN
ajtas-98	1	3	of	of	ADP
ajtas-98	1	4	technology	technology	NOUN
ajtas-98	1	5	and	and	CCONJ
ajtas-98	1	6	applied	apply	VERB
ajtas-98	1	7	sciences	sciences	PROPN
ajtas-98	1	8	issn	issn	X
ajtas-98	1	9	(	(	PUNCT
ajtas-98	1	10	e	e	NOUN
ajtas-98	1	11	):	):	PUNCT
ajtas-98	1	12	2832	2832	NUM
ajtas-98	1	13	-	-	SYM
ajtas-98	1	14	1766|	1766|	NUM
ajtas-98	1	15	volume	volume	NOUN
ajtas-98	1	16	5	5	NUM
ajtas-98	1	17	,	,	PUNCT
ajtas-98	1	18	|	|	ADV
ajtas-98	1	19	oct	oct	PROPN
ajtas-98	1	20	.	.	PROPN
ajtas-98	1	21	,	,	PUNCT
ajtas-98	1	22	2022	2022	NUM
ajtas-98	1	23	p	p	NOUN
ajtas-98	1	24	a	a	DET
ajtas-98	1	25	g	g	NOUN
ajtas-98	1	26	e	e	NOUN
ajtas-98	1	27	|	|	ADV
ajtas-98	1	28	10	10	NUM
ajtas-98	1	29	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-98	1	30	vectors	vector	NOUN
ajtas-98	1	31	as	as	ADP
ajtas-98	1	32	mathematical	mathematical	ADJ
ajtas-98	1	33	objects	object	NOUN
ajtas-98	1	34	rozimurodov	rozimurodov	PROPN
ajtas-98	1	35	rozimrod	rozimrod	VERB
ajtas-98	1	36	narzulloyevich	narzulloyevich	DET
ajtas-98	1	37	place	place	NOUN
ajtas-98	1	38	of	of	ADP
ajtas-98	1	39	work	work	NOUN
ajtas-98	1	40	:	:	PUNCT
ajtas-98	1	41	karakol	karakol	ADP
ajtas-98	1	42	specialized	specialized	ADJ
ajtas-98	1	43	boarding	boarding	NOUN
ajtas-98	1	44	school	school	NOUN
ajtas-98	1	45	.	.	PUNCT
ajtas-98	2	1	phone	phone	NOUN
ajtas-98	2	2	:	:	PUNCT
ajtas-98	2	3	997024080	997024080	NUM
ajtas-98	2	4	,	,	PUNCT
ajtas-98	2	5	science	science	NOUN
ajtas-98	2	6	:	:	PUNCT
ajtas-98	2	7	mathematics	mathematic	NOUN
ajtas-98	2	8	a	a	DET
ajtas-98	2	9	b	b	PROPN
ajtas-98	2	10	s	s	ADP
ajtas-98	2	11	t	t	PROPN
ajtas-98	2	12	r	r	NOUN
ajtas-98	2	13	a	a	DET
ajtas-98	2	14	c	c	NOUN
ajtas-98	2	15	t	t	NOUN
ajtas-98	2	16	k	k	X
ajtas-98	2	17	e	e	PROPN
ajtas-98	2	18	y	y	PROPN
ajtas-98	2	19	w	w	NOUN
ajtas-98	3	1	o	o	NOUN
ajtas-98	3	2	r	r	NOUN
ajtas-98	3	3	d	d	X
ajtas-98	3	4	s	s	AUX
ajtas-98	3	5	the	the	DET
ajtas-98	3	6	article	article	NOUN
ajtas-98	3	7	examines	examine	VERB
ajtas-98	3	8	existing	exist	VERB
ajtas-98	3	9	approaches	approach	NOUN
ajtas-98	3	10	to	to	ADP
ajtas-98	3	11	defining	define	VERB
ajtas-98	3	12	the	the	DET
ajtas-98	3	13	concept	concept	NOUN
ajtas-98	3	14	of	of	ADP
ajtas-98	3	15	"	"	PUNCT
ajtas-98	3	16	geometric	geometric	ADJ
ajtas-98	3	17	vector	vector	NOUN
ajtas-98	3	18	"	"	PUNCT
ajtas-98	3	19	in	in	ADP
ajtas-98	3	20	educational	educational	ADJ
ajtas-98	3	21	literature	literature	NOUN
ajtas-98	3	22	.	.	PUNCT
ajtas-98	4	1	a	a	DET
ajtas-98	4	2	reasonable	reasonable	ADJ
ajtas-98	4	3	definition	definition	NOUN
ajtas-98	4	4	of	of	ADP
ajtas-98	4	5	the	the	DET
ajtas-98	4	6	concept	concept	NOUN
ajtas-98	4	7	of	of	ADP
ajtas-98	4	8	"	"	PUNCT
ajtas-98	4	9	vector	vector	NOUN
ajtas-98	4	10	quantity	quantity	NOUN
ajtas-98	4	11	"	"	PUNCT
ajtas-98	4	12	from	from	ADP
ajtas-98	4	13	the	the	DET
ajtas-98	4	14	point	point	NOUN
ajtas-98	4	15	of	of	ADP
ajtas-98	4	16	view	view	NOUN
ajtas-98	4	17	of	of	ADP
ajtas-98	4	18	physical	physical	ADJ
ajtas-98	4	19	and	and	CCONJ
ajtas-98	4	20	technical	technical	ADJ
ajtas-98	4	21	sciences	science	NOUN
ajtas-98	4	22	is	be	AUX
ajtas-98	4	23	proposed	propose	VERB
ajtas-98	4	24	.	.	PUNCT
ajtas-98	5	1	in	in	ADP
ajtas-98	5	2	real	real	ADJ
ajtas-98	5	3	mathematics	mathematic	NOUN
ajtas-98	5	4	,	,	PUNCT
ajtas-98	5	5	the	the	DET
ajtas-98	5	6	uniqueness	uniqueness	NOUN
ajtas-98	5	7	of	of	ADP
ajtas-98	5	8	operations	operation	NOUN
ajtas-98	5	9	on	on	ADP
ajtas-98	5	10	given	give	VERB
ajtas-98	5	11	vectors	vector	NOUN
ajtas-98	5	12	is	be	AUX
ajtas-98	5	13	studied	study	VERB
ajtas-98	5	14	.	.	PUNCT
ajtas-98	6	1	differentiation	differentiation	NOUN
ajtas-98	6	2	of	of	ADP
ajtas-98	6	3	vector	vector	NOUN
ajtas-98	6	4	quantities	quantity	NOUN
ajtas-98	6	5	accepted	accept	VERB
ajtas-98	6	6	in	in	ADP
ajtas-98	6	7	mathematical	mathematical	ADJ
ajtas-98	6	8	manuals	manual	NOUN
ajtas-98	6	9	is	be	AUX
ajtas-98	6	10	considered	consider	VERB
ajtas-98	6	11	.	.	PUNCT
ajtas-98	7	1	vector	vector	NOUN
ajtas-98	7	2	quantities	quantity	NOUN
ajtas-98	7	3	,	,	PUNCT
ajtas-98	7	4	set	set	VERB
ajtas-98	7	5	of	of	ADP
ajtas-98	7	6	directed	direct	VERB
ajtas-98	7	7	segments	segment	NOUN
ajtas-98	7	8	,	,	PUNCT
ajtas-98	7	9	equivalence	equivalence	NOUN
ajtas-98	7	10	relation	relation	NOUN
ajtas-98	7	11	,	,	PUNCT
ajtas-98	7	12	associated	associated	ADJ
ajtas-98	7	13	vectors	vector	NOUN
ajtas-98	7	14	,	,	PUNCT
ajtas-98	7	15	sliding	slide	VERB
ajtas-98	7	16	vectors	vector	NOUN
ajtas-98	7	17	,	,	PUNCT
ajtas-98	7	18	axial	axial	ADJ
ajtas-98	7	19	vectors	vector	NOUN
ajtas-98	7	20	,	,	PUNCT
ajtas-98	7	21	polar	polar	ADJ
ajtas-98	7	22	vectors	vector	NOUN
ajtas-98	7	23	.	.	PUNCT
ajtas-98	8	1	biroq	biroq	NOUN
ajtas-98	8	2	,	,	PUNCT
ajtas-98	8	3	bu	bu	ADP
ajtas-98	8	4	harakatlarning	harakatlarne	VERB
ajtas-98	8	5	o'zi	o'zi	VERB
ajtas-98	8	6	geometrik	geometrik	PROPN
ajtas-98	8	7	jismlarning	jismlarning	PROPN
ajtas-98	8	8	xususiyatlarini	xususiyatlarini	PROPN
ajtas-98	8	9	va	va	PROPN
ajtas-98	8	10	ular	ular	PROPN
ajtas-98	8	11	orasidagi	orasidagi	PROPN
ajtas-98	8	12	munosabatlarni	munosabatlarni	PROPN
ajtas-98	8	13	juda	juda	PROPN
ajtas-98	8	14	kam	kam	PROPN
ajtas-98	8	15	ifodalashi	ifodalashi	PROPN
ajtas-98	8	16	mumkin	mumkin	PROPN
ajtas-98	8	17	.	.	PUNCT
ajtas-98	9	1	maktabda	maktabda	PROPN
ajtas-98	9	2	o'rganilgan	o'rganilgan	PROPN
ajtas-98	9	3	yagona	yagona	PROPN
ajtas-98	9	4	harakat	harakat	PROPN
ajtas-98	9	5	skalyar	skalyar	VERB
ajtas-98	9	6	ko'paytirish	ko'paytirish	PROPN
ajtas-98	9	7	vektorlarning	vektorlarne	VERB
ajtas-98	9	8	qo'llanilishini	qo'llanilishini	PROPN
ajtas-98	9	9	sezilarli	sezilarli	ADJ
ajtas-98	9	10	darajada	darajada	PROPN
ajtas-98	9	11	kengaytirmaydi	kengaytirmaydi	PROPN
ajtas-98	9	12	.	.	PUNCT
ajtas-98	10	1	u	u	PROPN
ajtas-98	10	2	barcha	barcha	NOUN
ajtas-98	10	3	mamlakatlarda	mamlakatlarda	PROPN
ajtas-98	10	4	matematikaning	matematikane	VERB
ajtas-98	10	5	asosiy	asosiy	PROPN
ajtas-98	10	6	o'qitishiga	o'qitishiga	PROPN
ajtas-98	10	7	kiritilmagan	kiritilmagan	VERB
ajtas-98	10	8	va	va	PROPN
ajtas-98	10	9	uni	uni	PROPN
ajtas-98	10	10	joriy	joriy	PROPN
ajtas-98	10	11	etishning	etishning	NOUN
ajtas-98	10	12	o'zi	o'zi	VERB
ajtas-98	10	13	qiyinchiliklar	qiyinchiliklar	ADJ
ajtas-98	10	14	bilan	bilan	PROPN
ajtas-98	10	15	bog'liq	bog'liq	NOUN
ajtas-98	10	16	.	.	PUNCT
ajtas-98	11	1	bunday	bunday	PROPN
ajtas-98	11	2	qiyinchiliklardan	qiyinchiliklardan	PROPN
ajtas-98	11	3	biri	biri	PROPN
ajtas-98	11	4	shundaki	shundaki	PROPN
ajtas-98	11	5	,	,	PUNCT
ajtas-98	11	6	agar	agar	NOUN
ajtas-98	11	7	siz	siz	PROPN
ajtas-98	11	8	odatda	odatda	PROPN
ajtas-98	11	9	bajarilganidek	bajarilganidek	PROPN
ajtas-98	11	10	,	,	PUNCT
ajtas-98	11	11	skalyar	skalyar	NOUN
ajtas-98	11	12	ko'paytmani	ko'paytmani	PROPN
ajtas-98	11	13	kosinus	kosinus	PROPN
ajtas-98	11	14	funktsiyasi	funktsiyasi	PROPN
ajtas-98	11	15	bo'yicha	bo'yicha	PROPN
ajtas-98	11	16	aniqlasangiz	aniqlasangiz	NOUN
ajtas-98	11	17	,	,	PUNCT
ajtas-98	11	18	unda	unda	PROPN
ajtas-98	11	19	trigonometrik	trigonometrik	VERB
ajtas-98	11	20	funktsiyalar	funktsiyalar	PROPN
ajtas-98	11	21	bilan	bilan	PROPN
ajtas-98	11	22	oldindan	oldindan	PROPN
ajtas-98	11	23	tanishishingiz	tanishishingiz	PROPN
ajtas-98	11	24	kerak	kerak	PROPN
ajtas-98	11	25	.	.	PUNCT
ajtas-98	12	1	keyinchalik	keyinchalik	PROPN
ajtas-98	12	2	biz	biz	PROPN
ajtas-98	12	3	yondashuvimiz	yondashuvimiz	PROPN
ajtas-98	12	4	doirasida	doirasida	PROPN
ajtas-98	12	5	trigonometriyasiz	trigonometriyasiz	PROPN
ajtas-98	12	6	ham	ham	PROPN
ajtas-98	12	7	qila	qila	PROPN
ajtas-98	12	8	olishimizni	olishimizni	VERB
ajtas-98	12	9	ko'ramiz	ko'ramiz	PROPN
ajtas-98	12	10	.	.	PUNCT
ajtas-98	13	1	ikkinchi	ikkinchi	PROPN
ajtas-98	13	2	qiyinchilik	qiyinchilik	PROPN
ajtas-98	13	3	skalyar	skalyar	VERB
ajtas-98	13	4	mahsulotning	mahsulotning	NOUN
ajtas-98	13	5	geometrik	geometrik	NOUN
ajtas-98	13	6	ma'nosiga	ma'nosiga	PROPN
ajtas-98	13	7	taalluqlidir	taalluqlidir	NOUN
ajtas-98	13	8	.	.	PUNCT
ajtas-98	14	1	qoidaga	qoidaga	PROPN
ajtas-98	14	2	ko'ra	ko'ra	PROPN
ajtas-98	14	3	,	,	PUNCT
ajtas-98	14	4	u	u	PROPN
ajtas-98	14	5	o'zo'zidan	o'zo'zidan	PROPN
ajtas-98	14	6	,	,	PUNCT
ajtas-98	14	7	hech	hech	ADJ
ajtas-98	14	8	qanday	qanday	PROPN
ajtas-98	14	9	sababsiz	sababsiz	PROPN
ajtas-98	14	10	kiritiladi	kiritiladi	PROPN
ajtas-98	14	11	va	va	PROPN
ajtas-98	14	12	shundan	shundan	PROPN
ajtas-98	14	13	keyingina	keyingina	PROPN
ajtas-98	14	14	uning	uning	PROPN
ajtas-98	14	15	belgisi	belgisi	VERB
ajtas-98	14	16	yordamida	yordamida	PROPN
ajtas-98	14	17	burchak	burchak	PROPN
ajtas-98	14	18	turini	turini	PROPN
ajtas-98	14	19	o'tkir	o'tkir	PROPN
ajtas-98	14	20	,	,	PUNCT
ajtas-98	14	21	o'tkir	o'tkir	PROPN
ajtas-98	14	22	yoki	yoki	PROPN
ajtas-98	14	23	to'g'ri	to'g'ri	PROPN
ajtas-98	14	24	deb	deb	VERB
ajtas-98	14	25	aniqlash	aniqlash	NOUN
ajtas-98	14	26	mumkinligi	mumkinligi	ADJ
ajtas-98	14	27	"	"	PUNCT
ajtas-98	14	28	aniqlanadi	aniqlanadi	NOUN
ajtas-98	14	29	"	"	PUNCT
ajtas-98	14	30	.	.	PUNCT
ajtas-98	15	1	skayar	skayar	PROPN
ajtas-98	15	2	mahsulotning	mahsulotne	VERB
ajtas-98	15	3	mutlaq	mutlaq	PROPN
ajtas-98	15	4	qiymati	qiymati	PROPN
ajtas-98	15	5	hech	hech	PROPN
ajtas-98	15	6	qanday	qanday	PROPN
ajtas-98	15	7	umumiy	umumiy	PROPN
ajtas-98	15	8	izohsiz	izohsiz	PROPN
ajtas-98	15	9	qoladi	qoladi	PROPN
ajtas-98	15	10	.	.	PUNCT
ajtas-98	16	1	vektorlarni	vektorlarni	NOUN
ajtas-98	16	2	ko'rsatishga	ko'rsatishga	PROPN
ajtas-98	16	3	bo'lgan	bo'lgan	PROPN
ajtas-98	17	1	yondashuvimiz	yondashuvimiz	PROPN
ajtas-98	17	2	doirasida	doirasida	PROPN
ajtas-98	17	3	ichki	ichki	PROPN
ajtas-98	17	4	mahsulot	mahsulot	PROPN
ajtas-98	17	5	to'g'ridan	to'g'ridan	PROPN
ajtas-98	17	6	-	-	PUNCT
ajtas-98	17	7	to'g'ri	to'g'ri	NOUN
ajtas-98	17	8	geometrik	geometrik	PROPN
ajtas-98	17	9	ma'noga	ma'noga	PROPN
ajtas-98	17	10	ega	ega	PROPN
ajtas-98	17	11	bo'lgan	bo'lgan	PROPN
ajtas-98	17	12	boshqa	boshqa	PROPN
ajtas-98	17	13	ikkita	ikkita	PROPN
ajtas-98	17	14	operatsiyadan	operatsiyadan	PROPN
ajtas-98	17	15	keyin	keyin	PROPN
ajtas-98	17	16	va	va	PROPN
ajtas-98	17	17	asosida	asosida	PROPN
ajtas-98	17	18	kiritiladi	kiritiladi	PROPN
ajtas-98	17	19	.	.	PUNCT
ajtas-98	18	1	ushbu	ushbu	PROPN
ajtas-98	18	2	ikki	ikki	PROPN
ajtas-98	18	3	harakatning	harakatne	VERB
ajtas-98	18	4	ta'rifi	ta'rifi	PROPN
ajtas-98	18	5	tekislikdagi	tekislikdagi	PROPN
ajtas-98	18	6	orientatsiya	orientatsiya	PROPN
ajtas-98	18	7	tushunchasi	tushunchasi	PROPN
ajtas-98	18	8	bilan	bilan	PROPN
ajtas-98	18	9	bog'liq	bog'liq	PROPN
ajtas-98	18	10	.	.	PUNCT
ajtas-98	19	1	orientatsiya	orientatsiya	NOUN
ajtas-98	19	2	fazoviy	fazoviy	PROPN
ajtas-98	19	3	fikrlashning	fikrlashne	VERB
ajtas-98	19	4	muhim	muhim	PROPN
ajtas-98	19	5	qismidir	qismidir	NOUN
ajtas-98	19	6	.	.	PUNCT
ajtas-98	20	1	samolyot	samolyot	PROPN
ajtas-98	20	2	haqida	haqida	PROPN
ajtas-98	20	3	gapirganda	gapirganda	PROPN
ajtas-98	20	4	,	,	PUNCT
ajtas-98	20	5	bu	bu	PROPN
ajtas-98	20	6	tushuncha	tushuncha	PROPN
ajtas-98	20	7	aylanishning	aylanishne	VERB
ajtas-98	20	8	ikki	ikki	PROPN
ajtas-98	20	9	yo'nalishidan	yo'nalishidan	PROPN
ajtas-98	20	10	birini	birini	NOUN
ajtas-98	20	11	anglatadi	anglatadi	NOUN
ajtas-98	20	12	o'ngga	o'ngga	PROPN
ajtas-98	20	13	yoki	yoki	PROPN
ajtas-98	20	14	chapga	chapga	PROPN
ajtas-98	20	15	,	,	PUNCT
ajtas-98	21	1	yoki	yoki	PROPN
ajtas-98	21	2	bir	bir	PROPN
ajtas-98	21	3	xil	xil	PROPN
ajtas-98	21	4	bo'lsa	bo'lsa	PROPN
ajtas-98	21	5	,	,	PUNCT
ajtas-98	21	6	soat	soat	NOUN
ajtas-98	21	7	yo'nalishi	yo'nalishi	PROPN
ajtas-98	21	8	bo'yicha	bo'yicha	PROPN
ajtas-98	21	9	yoki	yoki	PROPN
ajtas-98	21	10	soat	soat	PROPN
ajtas-98	21	11	sohasi	sohasi	PROPN
ajtas-98	21	12	farqli	farqli	PROPN
ajtas-98	21	13	ravishda	ravishda	NOUN
ajtas-98	21	14	aylanish	aylanish	PROPN
ajtas-98	21	15	yo'nalishi	yo'nalishi	PROPN
ajtas-98	21	16	.	.	PUNCT
ajtas-98	22	1	tekislikdagi	tekislikdagi	PROPN
ajtas-98	22	2	orientatsiya	orientatsiya	PROPN
ajtas-98	22	3	,	,	PUNCT
ajtas-98	22	4	shuningdek	shuningdek	NOUN
ajtas-98	22	5	,	,	PUNCT
ajtas-98	22	6	burchakning	burchakne	VERB
ajtas-98	22	7	yo'nalishi	yo'nalishi	PROPN
ajtas-98	22	8	yoki	yoki	NOUN
ajtas-98	22	9	ma'lum	ma'lum	PROPN
ajtas-98	22	10	bir	bir	PROPN
ajtas-98	22	11	aylanish	aylanish	PROPN
ajtas-98	22	12	yo'nalishiga	yo'nalishiga	PROPN
ajtas-98	22	13	nisbatan	nisbatan	VERB
ajtas-98	22	14	nurlar	nurlar	ADJ
ajtas-98	22	15	ustunligi	ustunligi	PROPN
ajtas-98	22	16	nisbati	nisbati	PROPN
ajtas-98	22	17	sifatida	sifatida	PROPN
ajtas-98	22	18	,	,	PUNCT
ajtas-98	22	19	yopiq	yopiq	NOUN
ajtas-98	22	20	chiziqlarning	chiziqlarne	VERB
ajtas-98	22	21	yo'nalishi	yo'nalishi	PROPN
ajtas-98	22	22	va	va	PROPN
ajtas-98	22	23	xususan	xususan	ADJ
ajtas-98	22	24	,	,	PUNCT
ajtas-98	22	25	raqamlar	raqamlar	ADJ
ajtas-98	22	26	konturi	konturi	PROPN
ajtas-98	22	27	sifatida	sifatida	PROPN
ajtas-98	22	28	namoyon	namoyon	PROPN
ajtas-98	22	29	bo'ladi	bo'ladi	PROPN
ajtas-98	22	30	.	.	PUNCT
ajtas-98	23	1	dan	dan	PROPN
ajtas-98	23	2	nuqta	nuqta	PROPN
ajtas-98	23	3	1	1	NUM
ajtas-98	23	4	kompleks	kompleks	PROPN
ajtas-98	23	5	sonlarning	sonlarning	PROPN
ajtas-98	23	6	geometrik	geometrik	PROPN
ajtas-98	23	7	qo'llanilishi	qo'llanilishi	PROPN
ajtas-98	23	8	,	,	PUNCT
ajtas-98	23	9	masalan	masalan	PROPN
ajtas-98	23	10	,	,	PUNCT
ajtas-98	23	11	[	[	X
ajtas-98	23	12	3	3	NUM
ajtas-98	23	13	]	]	X
ajtas-98	23	14	da	da	PROPN
ajtas-98	23	15	batafsil	batafsil	PROPN
ajtas-98	23	16	ko'rib	ko'rib	PROPN
ajtas-98	23	17	chiqiladi	chiqiladi	PROPN
ajtas-98	23	18	yo'naltirilgan	yo'naltirilgan	PROPN
ajtas-98	23	19	to'g'ri	to'g'ri	PROPN
ajtas-98	23	20	chiziqqa	chiziqqa	NOUN
ajtas-98	23	21	nisbatan	nisbatan	VERB
ajtas-98	23	22	.	.	PUNCT
ajtas-98	24	1	tekislikda	tekislikda	PROPN
ajtas-98	24	2	orientatsiya	orientatsiya	PROPN
ajtas-98	24	3	,	,	PUNCT
ajtas-98	24	4	shuningdek	shuningdek	NOUN
ajtas-98	24	5	,	,	PUNCT
ajtas-98	24	6	konturga	konturga	PROPN
ajtas-98	24	7	nisbatan	nisbatan	PROPN
ajtas-98	24	8	“	"	PUNCT
ajtas-98	24	9	ichki	ichki	PROPN
ajtas-98	24	10	”	"	PUNCT
ajtas-98	24	11	va	va	NOUN
ajtas-98	24	12	“	"	PUNCT
ajtas-98	24	13	tashqi	tashqi	ADJ
ajtas-98	24	14	”	"	PUNCT
ajtas-98	24	15	munosabatlari	munosabatlari	NOUN
ajtas-98	24	16	(	(	PUNCT
ajtas-98	24	17	ya’ni	ya’ni	PROPN
ajtas-98	24	18	,	,	PUNCT
ajtas-98	24	19	nuqta	nuqta	NOUN
ajtas-98	24	20	figuraga	figuraga	NOUN
ajtas-98	24	21	tegishli	tegishli	VERB
ajtas-98	24	22	yoki	yoki	PROPN
ajtas-98	24	23	tegishli	tegishli	PROPN
ajtas-98	24	24	emas	emas	PROPN
ajtas-98	24	25	)	)	PUNCT
ajtas-98	24	26	,	,	PUNCT
ajtas-98	24	27	shuningdek	shuningdek	NOUN
ajtas-98	24	28	,	,	PUNCT
ajtas-98	24	29	qavariq	qavariq	PROPN
ajtas-98	24	30	va	va	PROPN
ajtas-98	24	31	konveks	konveks	PROPN
ajtas-98	24	32	o‘rtasidagi	o‘rtasidagi	PROPN
ajtas-98	24	33	farq	farq	PROPN
ajtas-98	24	34	bilan	bilan	PROPN
ajtas-98	24	35	chambarchas	chambarchas	PROPN
ajtas-98	24	36	bog‘liq	bog‘liq	PROPN
ajtas-98	24	37	.	.	PUNCT
ajtas-98	25	1	ko'pburchak	ko'pburchak	PROPN
ajtas-98	25	2	cho'qqilarining	cho'qqilarine	VERB
ajtas-98	25	3	konkavligi	konkavligi	PROPN
ajtas-98	25	4	va	va	PROPN
ajtas-98	25	5	figura	figura	PROPN
ajtas-98	25	6	kontur	kontur	PROPN
ajtas-98	25	7	american	american	PROPN
ajtas-98	25	8	journal	journal	PROPN
ajtas-98	25	9	of	of	ADP
ajtas-98	25	10	technology	technology	NOUN
ajtas-98	25	11	and	and	CCONJ
ajtas-98	25	12	applied	apply	VERB
ajtas-98	25	13	sciences	science	NOUN
ajtas-98	25	14	volume	volume	NOUN
ajtas-98	25	15	5	5	NUM
ajtas-98	25	16	,	,	PUNCT
ajtas-98	25	17	oct	oct	PROPN
ajtas-98	25	18	.	.	PROPN
ajtas-98	25	19	,	,	PUNCT
ajtas-98	25	20	2022	2022	NUM
ajtas-98	25	21	p	p	NOUN
ajtas-98	25	22	a	a	DET
ajtas-98	25	23	g	g	NOUN
ajtas-98	25	24	e	e	NOUN
ajtas-98	25	25	|	|	ADV
ajtas-98	25	26	11	11	NUM
ajtas-98	25	27	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-98	25	28	nuqtalari	nuqtalari	NOUN
ajtas-98	25	29	.	.	PUNCT
ajtas-98	26	1	orientatsiyaning	orientatsiyane	VERB
ajtas-98	26	2	barcha	barcha	NOUN
ajtas-98	26	3	bu	bu	PROPN
ajtas-98	26	4	jihatlari	jihatlari	PROPN
ajtas-98	26	5	va	va	PROPN
ajtas-98	27	1	ko'rinishlari	ko'rinishlari	PROPN
ajtas-98	27	2	yagona	yagona	PROPN
ajtas-98	27	3	va	va	PROPN
ajtas-98	27	4	shu	shu	PROPN
ajtas-98	27	5	bilan	bilan	PROPN
ajtas-98	27	6	birga	birga	PROPN
ajtas-98	27	7	algebraik	algebraik	PROPN
ajtas-98	27	8	jihatdan	jihatdan	PROPN
ajtas-98	27	9	juda	juda	PROPN
ajtas-98	27	10	sodda	sodda	PROPN
ajtas-98	27	11	ifodalangan	ifodalangan	PROPN
ajtas-98	27	12	munosabatga	munosabatga	PROPN
ajtas-98	27	13	qisqartiriladi	qisqartiriladi	NOUN
ajtas-98	27	14	.	.	PUNCT
ajtas-98	28	1	geometriya	geometriya	PROPN
ajtas-98	28	2	uchun	uchun	PROPN
ajtas-98	28	3	orientatsiya	orientatsiya	PROPN
ajtas-98	28	4	kontseptsiyasining	kontseptsiyasine	VERB
ajtas-98	28	5	aniq	aniq	PROPN
ajtas-98	28	6	va	va	PROPN
ajtas-98	28	7	ko'p	ko'p	PROPN
ajtas-98	28	8	qirrali	qirrali	PROPN
ajtas-98	28	9	ahamiyatiga	ahamiyatiga	PROPN
ajtas-98	28	10	qaramay	qaramay	PROPN
ajtas-98	28	11	,	,	PUNCT
ajtas-98	28	12	maktabda	maktabda	ADJ
ajtas-98	28	13	unga	unga	PROPN
ajtas-98	28	14	butunlay	butunlay	PROPN
ajtas-98	28	15	e'tibor	e'tibor	PROPN
ajtas-98	28	16	berilmasligi	berilmasligi	PROPN
ajtas-98	28	17	katta	katta	PROPN
ajtas-98	28	18	anomaliyadir	anomaliyadir	ADV
ajtas-98	28	19	.	.	PUNCT
ajtas-98	29	1	vektorlarda	vektorlarda	PROPN
ajtas-98	29	2	orientatsiyani	orientatsiyani	ADJ
ajtas-98	29	3	aks	aks	PROPN
ajtas-98	29	4	ettiruvchi	ettiruvchi	PROPN
ajtas-98	29	5	harakatlarni	harakatlarni	NOUN
ajtas-98	29	6	ko'rib	ko'rib	PROPN
ajtas-98	29	7	chiqish	chiqish	PROPN
ajtas-98	29	8	buni	buni	PROPN
ajtas-98	29	9	tuzatish	tuzatish	PROPN
ajtas-98	29	10	uchun	uchun	PROPN
ajtas-98	29	11	ajoyib	ajoyib	NOUN
ajtas-98	29	12	imkoniyatdir	imkoniyatdir	PROPN
ajtas-98	29	13	.	.	PUNCT
ajtas-98	30	1	"	"	PUNCT
ajtas-98	30	2	perp	perp	NOUN
ajtas-98	30	3	"	"	PUNCT
ajtas-98	30	4	operatsiyasi	operatsiyasi	NOUN
ajtas-98	30	5	bilan	bilan	PROPN
ajtas-98	30	6	biz	biz	NOUN
ajtas-98	30	7	vektorning	vektorne	VERB
ajtas-98	30	8	musbat	musbat	PROPN
ajtas-98	30	9	yo'nalishda	yo'nalishda	PROPN
ajtas-98	30	10	,	,	PUNCT
ajtas-98	30	11	ya'ni	ya'ni	NOUN
ajtas-98	30	12	soat	soat	PROPN
ajtas-98	30	13	miliga	miliga	PROPN
ajtas-98	30	14	teskari	teskari	PROPN
ajtas-98	30	15	yo'nalishda	yo'nalishda	PROPN
ajtas-98	30	16	to'g'ri	to'g'ri	PROPN
ajtas-98	30	17	burchak	burchak	NOUN
ajtas-98	30	18	ostida	ostida	PROPN
ajtas-98	30	19	aylanishini	aylanishini	PROPN
ajtas-98	30	20	tushunamiz	tushunamiz	PROPN
ajtas-98	30	21	.	.	PUNCT
ajtas-98	31	1	operatsiya	operatsiya	PROPN
ajtas-98	31	2	belgisi	belgisi	VERB
ajtas-98	31	3	bilan	bilan	PROPN
ajtas-98	31	4	belgilanadi	belgilanadi	PROPN
ajtas-98	31	5	shaklning	shaklne	VERB
ajtas-98	31	6	ifodasi	ifodasi	PROPN
ajtas-98	31	7	ular	ular	PROPN
ajtas-98	31	8	"	"	PUNCT
ajtas-98	31	9	^pert	^pert	PROPN
ajtas-98	31	10	"	"	PUNCT
ajtas-98	31	11	deb	deb	PROPN
ajtas-98	31	12	o'qilishi	o'qilishi	PROPN
ajtas-98	31	13	mumkin	mumkin	PROPN
ajtas-98	31	14	.	.	PUNCT
ajtas-98	32	1	perp	perp	PROPN
ajtas-98	32	2	ikki	ikki	PROPN
ajtas-98	32	3	jihatdan	jihatdan	PROPN
ajtas-98	32	4	qimmatlidir	qimmatlidir	PROPN
ajtas-98	32	5	.	.	PUNCT
ajtas-98	33	1	har	har	PROPN
ajtas-98	33	2	qanday	qanday	PROPN
ajtas-98	33	3	u	u	PROPN
ajtas-98	33	4	\u003d	\u003d	ADV
ajtas-98	33	5	0	0	NUM
ajtas-98	33	6	uchun	uchun	PROPN
ajtas-98	33	7	u	u	PROPN
ajtas-98	33	8	orqali	orqali	VERB
ajtas-98	33	9	u	u	PROPN
ajtas-98	33	10	va	va	PROPN
ajtas-98	33	11	perpendikulyar	perpendikulyar	NOUN
ajtas-98	33	12	^	^	PUNCT
ajtas-98	34	1	kabi	kabi	PROPN
ajtas-98	34	2	uzunlikdagi	uzunlikdagi	PROPN
ajtas-98	34	3	vektor	vektor	PROPN
ajtas-98	34	4	mavjud	mavjud	PROPN
ajtas-98	34	5	,	,	PUNCT
ajtas-98	34	6	masalan	masalan	ADJ
ajtas-98	34	7	,	,	PUNCT
ajtas-98	34	8	kvadratning	kvadratne	VERB
ajtas-98	34	9	bir	bir	PROPN
ajtas-98	34	10	diagonali	diagonali	PROPN
ajtas-98	34	11	bo'ylab	bo'ylab	PROPN
ajtas-98	34	12	biz	biz	NOUN
ajtas-98	34	13	boshqasini	boshqasini	PROPN
ajtas-98	34	14	topamiz	topamiz	PROPN
ajtas-98	34	15	.	.	PUNCT
ajtas-98	35	1	bundan	bundan	PROPN
ajtas-98	35	2	tashqari	tashqari	PROPN
ajtas-98	35	3	,	,	PUNCT
ajtas-98	35	4	juftlik	juftlik	PROPN
ajtas-98	35	5	(	(	PUNCT
ajtas-98	35	6	u	u	NOUN
ajtas-98	35	7	,	,	PUNCT
ajtas-98	35	8	ux	ux	NOUN
ajtas-98	35	9	)	)	PUNCT
ajtas-98	35	10	musbat	musbat	NOUN
ajtas-98	35	11	yo'naltirilgan	yo'naltirilgan	PROPN
ajtas-98	35	12	to'rtburchaklar	to'rtburchaklar	PROPN
ajtas-98	35	13	koordinatalar	koordinatalar	ADJ
ajtas-98	35	14	sistemasidir	sistemasidir	NOUN
ajtas-98	35	15	:	:	PUNCT
ajtas-98	35	16	har	har	PROPN
ajtas-98	35	17	qanday	qanday	PROPN
ajtas-98	35	18	vektor	vektor	PROPN
ajtas-98	35	19	va	va	PROPN
ajtas-98	35	20	va	va	PROPN
ajtas-98	35	21	uxda	uxda	PROPN
ajtas-98	35	22	kengayish	kengayish	PROPN
ajtas-98	35	23	bilan	bilan	PROPN
ajtas-98	35	24	ifodalanishi	ifodalanishi	PROPN
ajtas-98	35	25	mumkin	mumkin	PROPN
ajtas-98	35	26	va	va	PROPN
ajtas-98	35	27	bir	bir	PROPN
ajtas-98	35	28	qator	qator	PROPN
ajtas-98	35	29	masalalarda	masalalarda	PROPN
ajtas-98	35	30	aynan	aynan	PROPN
ajtas-98	35	31	shunday	shunday	PROPN
ajtas-98	35	32	qilish	qilish	PROPN
ajtas-98	35	33	qulay	qulay	VERB
ajtas-98	35	34	bo'lishi	bo'lishi	PROPN
ajtas-98	35	35	mumkin	mumkin	NOUN
ajtas-98	35	36	.	.	PUNCT
ajtas-98	36	1	u	u	PROPN
ajtas-98	36	2	va	va	PROPN
ajtas-98	36	3	v	v	ADP
ajtas-98	36	4	vektorlarining	vektorlarine	VERB
ajtas-98	36	5	qiyshaygan	qiyshaygan	PROPN
ajtas-98	36	6	mahsuloti	mahsuloti	PROPN
ajtas-98	36	7	va	va	PROPN
ajtas-98	36	8	x	x	PROPN
ajtas-98	36	9	v	v	PROPN
ajtas-98	36	10	bir	bir	PROPN
ajtas-98	36	11	juft	juft	PROPN
ajtas-98	36	12	vektor	vektor	PROPN
ajtas-98	36	13	(	(	PUNCT
ajtas-98	36	14	u	u	NOUN
ajtas-98	36	15	,	,	PUNCT
ajtas-98	36	16	v	v	NOUN
ajtas-98	36	17	)	)	PUNCT
ajtas-98	36	18	bilan	bilan	PROPN
ajtas-98	36	19	qoplangan	qoplangan	AUX
ajtas-98	36	20	parallelogrammaning	parallelogrammane	VERB
ajtas-98	36	21	yo'naltirilgan	yo'naltirilgan	PROPN
ajtas-98	36	22	maydoni	maydoni	NOUN
ajtas-98	36	23	.	.	PUNCT
ajtas-98	37	1	(	(	PUNCT
ajtas-98	37	2	u	u	NOUN
ajtas-98	37	3	,	,	PUNCT
ajtas-98	37	4	v	v	NOUN
ajtas-98	37	5	)	)	PUNCT
ajtas-98	37	6	bilan	bilan	PROPN
ajtas-98	37	7	o'ralgan	o'ralgan	PROPN
ajtas-98	37	8	parallelogramma	parallelogramma	PROPN
ajtas-98	37	9	shu	shu	PROPN
ajtas-98	37	10	ketma	ketma	PROPN
ajtas-98	37	11	-	-	PUNCT
ajtas-98	37	12	ketlikda	ketlikda	PROPN
ajtas-98	37	13	olingan	olingan	PROPN
ajtas-98	37	14	v	v	NOUN
ajtas-98	37	15	,	,	PUNCT
ajtas-98	37	16	-u	-u	PROPN
ajtas-98	37	17	va	va	PROPN
ajtas-98	37	18	-v	-v	X
ajtas-98	37	19	vektorlari	vektorlari	PROPN
ajtas-98	37	20	orqali	orqali	ADJ
ajtas-98	37	21	hosil	hosil	NOUN
ajtas-98	37	22	bo'ladi	bo'ladi	PROPN
ajtas-98	37	23	(	(	PUNCT
ajtas-98	37	24	1	1	NUM
ajtas-98	37	25	-	-	PUNCT
ajtas-98	37	26	rasm	rasm	NOUN
ajtas-98	37	27	)	)	PUNCT
ajtas-98	37	28	.	.	PUNCT
ajtas-98	38	1	agar	agar	PROPN
ajtas-98	38	2	va	va	PROPN
ajtas-98	38	3	va	va	PROPN
ajtas-98	38	4	v	v	PROPN
ajtas-98	38	5	to'g'ri	to'g'ri	PROPN
ajtas-98	38	6	chiziqli	chiziqli	NOUN
ajtas-98	38	7	bo'lsa	bo'lsa	PROPN
ajtas-98	38	8	,	,	PUNCT
ajtas-98	38	9	shu	shu	PROPN
ajtas-98	38	10	jumladan	jumladan	PROPN
ajtas-98	38	11	yoki	yoki	PROPN
ajtas-98	38	12	ikkalasi	ikkalasi	PROPN
ajtas-98	38	13	ham	ham	PROPN
ajtas-98	38	14	0	0	NUM
ajtas-98	39	1	bo'lsa	bo'lsa	PROPN
ajtas-98	39	2	,	,	PUNCT
ajtas-98	39	3	parallelogramma	parallelogramma	NOUN
ajtas-98	39	4	chiziq	chiziq	NOUN
ajtas-98	39	5	bo'lagi	bo'lagi	PROPN
ajtas-98	39	6	yoki	yoki	PROPN
ajtas-98	39	7	nuqtaga	nuqtaga	PROPN
ajtas-98	39	8	aylanadi	aylanadi	PROPN
ajtas-98	39	9	va	va	PROPN
ajtas-98	39	10	uning	uning	PROPN
ajtas-98	39	11	maydoni	maydoni	PROPN
ajtas-98	39	12	nolga	nolga	PROPN
ajtas-98	39	13	teng	teng	PROPN
ajtas-98	39	14	.	.	PUNCT
ajtas-98	40	1	to'g'ri	to'g'ri	PROPN
ajtas-98	40	2	chiziqli	chiziqli	NOUN
ajtas-98	40	3	bo'lmagan	bo'lmagan	PROPN
ajtas-98	40	4	u	u	PROPN
ajtas-98	40	5	va	va	PROPN
ajtas-98	40	6	v	v	ADP
ajtas-98	40	7	uchun	uchun	PROPN
ajtas-98	40	8	parallelogrammaning	parallelogrammane	VERB
ajtas-98	40	9	yo'naltirilgan	yo'naltirilgan	PROPN
ajtas-98	40	10	maydoni	maydoni	PROPN
ajtas-98	40	11	imzolangan	imzolangan	VERB
ajtas-98	40	12	sondir	sondir	NOUN
ajtas-98	40	13	:	:	PUNCT
ajtas-98	40	14	agar	agar	NOUN
ajtas-98	40	15	u	u	PROPN
ajtas-98	40	16	v	v	ADP
ajtas-98	40	17	dan	dan	PROPN
ajtas-98	40	18	oldin	oldin	PROPN
ajtas-98	40	19	bo'lsa	bo'lsa	PROPN
ajtas-98	40	20	,	,	PUNCT
ajtas-98	40	21	ijobiy	ijobiy	PROPN
ajtas-98	40	22	va	va	PROPN
ajtas-98	40	23	aksincha	aksincha	PROPN
ajtas-98	41	1	bo'lsa	bo'lsa	PROPN
ajtas-98	41	2	.	.	PUNCT
ajtas-98	42	1	biz	biz	NOUN
ajtas-98	42	2	u	u	PROPN
ajtas-98	42	3	o'z	o'z	VERB
ajtas-98	42	4	ichiga	ichiga	VERB
ajtas-98	42	5	olgan	olgan	ADJ
ajtas-98	42	6	nurni	nurni	NOUN
ajtas-98	42	7	v	v	ADP
ajtas-98	42	8	yo'nalishi	yo'nalishi	PROPN
ajtas-98	42	9	bilan	bilan	PROPN
ajtas-98	42	10	ustma	ustma	PROPN
ajtas-98	42	11	-	-	PUNCT
ajtas-98	42	12	ust	ust	PROPN
ajtas-98	42	13	tushmasdan	tushmasdan	NOUN
ajtas-98	42	14	oldin	oldin	VERB
ajtas-98	42	15	musbat	musbat	PROPN
ajtas-98	42	16	yo'nalishda	yo'nalishda	PROPN
ajtas-98	42	17	aylantirilganidan	aylantirilganidan	PROPN
ajtas-98	42	18	kichikroq	kichikroq	PROPN
ajtas-98	42	19	burchakka	burchakka	PROPN
ajtas-98	42	20	aylantirish	aylantirish	PROPN
ajtas-98	43	1	mumkin	mumkin	PROPN
ajtas-98	43	2	bo'lsa	bo'lsa	PROPN
ajtas-98	43	3	,	,	PUNCT
ajtas-98	43	4	u	u	NOUN
ajtas-98	43	5	v	v	NOUN
ajtas-98	43	6	(	(	PUNCT
ajtas-98	43	7	va	va	PROPN
ajtas-98	43	8	v	v	NOUN
ajtas-98	43	9	)	)	PUNCT
ajtas-98	43	10	dan	dan	PROPN
ajtas-98	43	11	oldin	oldin	PROPN
ajtas-98	43	12	deb	deb	PROPN
ajtas-98	43	13	hisoblaymiz	hisoblaymiz	PROPN
ajtas-98	43	14	.	.	PUNCT
ajtas-98	44	1	(	(	PUNCT
ajtas-98	44	2	v	v	NOUN
ajtas-98	44	3	,	,	PUNCT
ajtas-98	44	4	u	u	NOUN
ajtas-98	44	5	)	)	PUNCT
ajtas-98	44	6	jufti	jufti	NOUN
ajtas-98	44	7	tomonidan	tomonidan	PROPN
ajtas-98	44	8	hosil	hosil	PROPN
ajtas-98	44	9	qilingan	qilingan	PROPN
ajtas-98	44	10	parallelogramma	parallelogramma	PROPN
ajtas-98	44	11	(	(	PUNCT
ajtas-98	44	12	u	u	NOUN
ajtas-98	44	13	,	,	PUNCT
ajtas-98	44	14	v	v	NOUN
ajtas-98	44	15	)	)	PUNCT
ajtas-98	44	16	tomonidan	tomonidan	PROPN
ajtas-98	44	17	hosil	hosil	PROPN
ajtas-98	44	18	qilinganidan	qilinganidan	PROPN
ajtas-98	44	19	konturning	konturne	VERB
ajtas-98	44	20	yo'nalishi	yo'nalishi	PROPN
ajtas-98	44	21	va	va	PROPN
ajtas-98	44	22	maydon	maydon	PROPN
ajtas-98	44	23	belgisi	belgisi	VERB
ajtas-98	44	24	bilan	bilan	PROPN
ajtas-98	44	25	farq	farq	PROPN
ajtas-98	44	26	qiladi	qiladi	PROPN
ajtas-98	44	27	,	,	PUNCT
ajtas-98	44	28	rasmda	rasmda	NOUN
ajtas-98	44	29	bo'lgani	bo'lgani	PROPN
ajtas-98	44	30	kabi	kabi	PROPN
ajtas-98	44	31	.	.	PROPN
ajtas-98	45	1	1	1	NUM
ajtas-98	45	2	,	,	PUNCT
ajtas-98	45	3	bu	bu	PROPN
ajtas-98	45	4	erda	erda	PROPN
ajtas-98	45	5	va	va	PROPN
ajtas-98	45	6	v.	v.	ADP
ajtas-98	45	7	arc	arc	PROPN
ajtas-98	45	8	strelkalari	strelkalari	PROPN
ajtas-98	45	9	birinchi	birinchi	PROPN
ajtas-98	45	10	vektordan	vektordan	PROPN
ajtas-98	45	11	ikkinchi	ikkinchi	PROPN
ajtas-98	45	12	vektorga	vektorga	VERB
ajtas-98	45	13	aylanish	aylanish	PROPN
ajtas-98	45	14	burchagini	burchagini	PROPN
ajtas-98	45	15	ko'rsatadi	ko'rsatadi	PROPN
ajtas-98	45	16	.	.	PUNCT
ajtas-98	46	1	vazifaga	vazifaga	PROPN
ajtas-98	46	2	qarab	qarab	PROPN
ajtas-98	46	3	,	,	PUNCT
ajtas-98	46	4	berilgan	berilgan	VERB
ajtas-98	46	5	uch	uch	PRON
ajtas-98	46	6	nuqta	nuqta	PROPN
ajtas-98	46	7	bo'yicha	bo'yicha	PROPN
ajtas-98	46	8	uchlik	uchlik	PROPN
ajtas-98	46	9	yo'nalishini	yo'nalishini	PROPN
ajtas-98	46	10	topish	topish	NOUN
ajtas-98	46	11	mumkin	mumkin	NOUN
ajtas-98	46	12	,	,	PUNCT
ajtas-98	46	13	ya'ni	ya'ni	ADJ
ajtas-98	46	14	vektorlar	vektorlar	ADJ
ajtas-98	46	15	hosil	hosil	PROPN
ajtas-98	46	16	qilish	qilish	PROPN
ajtas-98	46	17	yoki	yoki	PROPN
ajtas-98	46	18	berilgan	berilgan	PROPN
ajtas-98	46	19	vektorlar	vektorlar	PROPN
ajtas-98	46	20	va	va	PROPN
ajtas-98	46	21	nuqta	nuqta	PROPN
ajtas-98	46	22	bo'yicha	bo'yicha	PROPN
ajtas-98	46	23	,	,	PUNCT
ajtas-98	47	1	umumiy	umumiy	NOUN
ajtas-98	47	2	kelib	kelib	PROPN
ajtas-98	47	3	chiqishi	chiqishi	PROPN
ajtas-98	47	4	bo'lgan	bo'lgan	PROPN
ajtas-98	47	5	vektorlarni	vektorlarni	PROPN
ajtas-98	47	6	kechiktirish	kechiktirish	PROPN
ajtas-98	47	7	yoki	yoki	PROPN
ajtas-98	47	8	ketma	ketma	PROPN
ajtas-98	47	9	-	-	PUNCT
ajtas-98	47	10	ketlikda	ketlikda	PROPN
ajtas-98	47	11	uchlikning	uchlikne	VERB
ajtas-98	47	12	yo'nalishini	yo'nalishini	PROPN
ajtas-98	47	13	berilgan	berilgan	PROPN
ajtas-98	47	14	nuqtadan	nuqtadan	PROPN
ajtas-98	47	15	topish	topish	PROPN
ajtas-98	47	16	mumkin	mumkin	PROPN
ajtas-98	47	17	.	.	PUNCT
ajtas-98	48	1	nuqta	nuqta	PROPN
ajtas-98	48	2	va	va	PROPN
ajtas-98	48	3	yo'naltirilgan	yo'naltirilgan	PROPN
ajtas-98	48	4	bo'laklarning	bo'laklarning	PROPN
ajtas-98	48	5	uchlari	uchlari	NOUN
ajtas-98	48	6	kechiktirish	kechiktirish	PROPN
ajtas-98	48	7	orqali	orqali	ADJ
ajtas-98	48	8	olingan	olingan	NOUN
ajtas-98	48	9	.	.	PUNCT
ajtas-98	49	1	■	■	PUNCT
ajtas-98	49	2	nuqta	nuqta	ADJ
ajtas-98	49	3	yo'naltirilgan	yo'naltirilgan	PROPN
ajtas-98	49	4	chiziqning	chiziqne	VERB
ajtas-98	49	5	chap	chap	PROPN
ajtas-98	49	6	tomonida	tomonida	PROPN
ajtas-98	49	7	yoki	yoki	PROPN
ajtas-98	49	8	o'ng	o'ng	PROPN
ajtas-98	49	9	tomonida	tomonida	PROPN
ajtas-98	49	10	ekanligini	ekanligini	PROPN
ajtas-98	49	11	aniqlash	aniqlash	NOUN
ajtas-98	49	12	,	,	PUNCT
ajtas-98	49	13	shuningdek	shuningdek	NOUN
ajtas-98	49	14	,	,	PUNCT
ajtas-98	49	15	egri	egri	PROPN
ajtas-98	49	16	ko'paytmani	ko'paytmani	PROPN
ajtas-98	49	17	hisoblashdan	hisoblashdan	PROPN
ajtas-98	49	18	kelib	kelib	PROPN
ajtas-98	49	19	chiqadi	chiqadi	PROPN
ajtas-98	49	20	:	:	PUNCT
ajtas-98	49	21	agar	agar	NOUN
ajtas-98	49	22	ab	ab	PROPN
ajtas-98	49	23	x	x	PUNCT
ajtas-98	49	24	ac	ac	PROPN
ajtas-98	49	25	>	>	X
ajtas-98	49	26	0	0	PUNCT
ajtas-98	50	1	bo'lsa	bo'lsa	PROPN
ajtas-98	50	2	,	,	PUNCT
ajtas-98	50	3	p	p	NOUN
ajtas-98	50	4	nuqtasi	nuqtasi	NOUN
ajtas-98	50	5	chap	chap	NOUN
ajtas-98	50	6	tomonda	tomonda	PROPN
ajtas-98	50	7	bo'ladi	bo'ladi	PROPN
ajtas-98	50	8	,	,	PUNCT
ajtas-98	50	9	bu	bu	PROPN
ajtas-98	50	10	erda	erda	PROPN
ajtas-98	50	11	a	a	DET
ajtas-98	50	12	va	va	PROPN
ajtas-98	50	13	b	b	PROPN
ajtas-98	50	14	chiziqdagi	chiziqdagi	PROPN
ajtas-98	50	15	nuqtalar	nuqtalar	PROPN
ajtas-98	50	16	va	va	PROPN
ajtas-98	50	17	u	u	PROPN
ajtas-98	50	18	ab	ab	PROPN
ajtas-98	50	19	bo'ylab	bo'ylab	PROPN
ajtas-98	50	20	yo'naltirilgan	yo'naltirilgan	PROPN
ajtas-98	50	21	.	.	PUNCT
ajtas-98	51	1	■	■	PUNCT
ajtas-98	51	2	"	"	PUNCT
ajtas-98	51	3	a	a	DET
ajtas-98	51	4	vektorga	vektorga	NOUN
ajtas-98	51	5	ko'paytirilsa	ko'paytirilsa	PROPN
ajtas-98	51	6	,	,	PUNCT
ajtas-98	51	7	b	b	PROPN
ajtas-98	51	8	vektorini	vektorini	PROPN
ajtas-98	51	9	beradigan	beradigan	VERB
ajtas-98	51	10	son	son	PROPN
ajtas-98	51	11	bor	bor	PROPN
ajtas-98	51	12	"	"	PUNCT
ajtas-98	51	13	kabi	kabi	PROPN
ajtas-98	51	14	mavjudlik	mavjudlik	PROPN
ajtas-98	51	15	turining	turining	PROPN
ajtas-98	51	16	kollinearligi	kollinearligi	PROPN
ajtas-98	51	17	mezonlari	mezonlari	PROPN
ajtas-98	51	18	unchalik	unchalik	PROPN
ajtas-98	51	19	foydali	foydali	PROPN
ajtas-98	51	20	emas	emas	PROPN
ajtas-98	51	21	,	,	PUNCT
ajtas-98	51	22	chunki	chunki	PROPN
ajtas-98	51	23	ular	ular	PROPN
ajtas-98	51	24	bevosita	bevosita	PROPN
ajtas-98	51	25	emas	emas	PROPN
ajtas-98	51	26	.	.	PUNCT
ajtas-98	52	1	kollinearlikni	kollinearlikni	PROPN
ajtas-98	52	2	isbotlash	isbotlash	PROPN
ajtas-98	52	3	uchun	uchun	PROPN
ajtas-98	52	4	siz	siz	PROPN
ajtas-98	52	5	berilgan	berilgan	VERB
ajtas-98	52	6	raqam	raqam	PROPN
ajtas-98	52	7	yoki	yoki	PROPN
ajtas-98	52	8	raqamlarning	raqamlarne	VERB
ajtas-98	52	9	mavjudligini	mavjudligini	PROPN
ajtas-98	52	10	isbotlashingiz	isbotlashingiz	PROPN
ajtas-98	52	11	kerak	kerak	PROPN
ajtas-98	52	12	va	va	PROPN
ajtas-98	52	13	bu	bu	PROPN
ajtas-98	52	14	ko'pincha	ko'pincha	PROPN
ajtas-98	52	15	bunday	bunday	PROPN
ajtas-98	52	16	raqamlarni	raqamlarni	PROPN
ajtas-98	52	17	topishni	topishni	PROPN
ajtas-98	52	18	talab	talab	PROPN
ajtas-98	52	19	qiladi	qiladi	PROPN
ajtas-98	52	20	.	.	PUNCT
ajtas-98	53	1	bu	bu	VERB
ajtas-98	54	1	o'z	o'z	PROPN
ajtas-98	54	2	-	-	PUNCT
ajtas-98	54	3	o'zidan	o'zidan	PROPN
ajtas-98	54	4	qiyin	qiyin	PROPN
ajtas-98	54	5	bo'lishi	bo'lishi	PROPN
ajtas-98	54	6	mumkin	mumkin	PROPN
ajtas-98	54	7	va	va	PROPN
ajtas-98	54	8	aslida	aslida	PROPN
ajtas-98	54	9	,	,	PUNCT
ajtas-98	54	10	kollinearlik	kollinearlik	PROPN
ajtas-98	54	11	haqiqatiga	haqiqatiga	PROPN
ajtas-98	54	12	nisbatan	nisbatan	PROPN
ajtas-98	54	13	,	,	PUNCT
ajtas-98	54	14	har	har	PROPN
ajtas-98	54	15	qanday	qanday	PROPN
ajtas-98	54	16	raqamlarni	raqamlarni	PROPN
ajtas-98	54	17	bilish	bilish	PROPN
ajtas-98	54	18	aslida	aslida	AUX
ajtas-98	54	19	ortiqcha	ortiqcha	PROPN
ajtas-98	54	20	ma'lumotdir	ma'lumotdir	PROPN
ajtas-98	54	21	.	.	PUNCT
ajtas-98	55	1	shu	shu	PROPN
ajtas-98	55	2	sababli	sababli	PROPN
ajtas-98	55	3	,	,	PUNCT
ajtas-98	55	4	qiyshaygan	qiyshaygan	PROPN
ajtas-98	55	5	mahsulotning	mahsulotne	VERB
ajtas-98	55	6	nolga	nolga	ADJ
ajtas-98	55	7	tengligi	tengligi	PROPN
ajtas-98	55	8	kollinearlik	kollinearlik	PROPN
ajtas-98	55	9	mezoni	mezoni	PROPN
ajtas-98	55	10	sifatida	sifatida	PROPN
ajtas-98	55	11	amaliy	amaliy	PROPN
ajtas-98	55	12	nuqtai	nuqtai	PROPN
ajtas-98	55	13	nazardan	nazardan	PROPN
ajtas-98	55	14	juda	juda	PROPN
ajtas-98	55	15	muhimdir	muhimdir	PROPN
ajtas-98	55	16	.	.	PUNCT
ajtas-98	56	1	uning	une	VERB
ajtas-98	56	2	qo'llanilishidan	qo'llanilishidan	PROPN
ajtas-98	56	3	biri	biri	PROPN
ajtas-98	56	4	to'g'ri	to'g'ri	PROPN
ajtas-98	56	5	chiziq	chiziq	VERB
ajtas-98	56	6	tenglamasini	tenglamasini	ADJ
ajtas-98	56	7	shakllantirishdir	shakllantirishdir	NOUN
ajtas-98	56	8	.	.	PUNCT
ajtas-98	57	1	agar	agar	NOUN
ajtas-98	57	2	chiziq	chiziq	PROPN
ajtas-98	57	3	uning	uning	NOUN
ajtas-98	57	4	ustidagi	ustidagi	NOUN
ajtas-98	57	5	a	a	DET
ajtas-98	57	6	nuqta	nuqta	PROPN
ajtas-98	57	7	va	va	PROPN
ajtas-98	57	8	yo'nalish	yo'nalish	PROPN
ajtas-98	57	9	vektori	vektori	PROPN
ajtas-98	57	10	u	u	PROPN
ajtas-98	57	11	(	(	PUNCT
ajtas-98	57	12	yoki	yoki	PROPN
ajtas-98	57	13	ikkinchi	ikkinchi	PROPN
ajtas-98	58	1	b	b	PROPN
ajtas-98	58	2	nuqtasi	nuqtasi	PROPN
ajtas-98	58	3	,	,	PUNCT
ajtas-98	58	4	shuning	shun	VERB
ajtas-98	58	5	uchun	uchun	PROPN
ajtas-98	58	6	u	u	PROPN
ajtas-98	58	7	\u003d	\u003d	CCONJ
ajtas-98	58	8	ab	ab	PROPN
ajtas-98	58	9	)	)	PUNCT
ajtas-98	58	10	bilan	bilan	PROPN
ajtas-98	58	11	berilgan	berilgan	PROPN
ajtas-98	58	12	bo'lsa	bo'lsa	PROPN
ajtas-98	58	13	,	,	PUNCT
ajtas-98	58	14	u	u	PROPN
ajtas-98	58	15	holda	holda	PROPN
ajtas-98	58	16	chiziqdagi	chiziqdagi	PROPN
ajtas-98	58	17	har	har	PROPN
ajtas-98	58	18	qanday	qanday	PROPN
ajtas-98	59	1	p	p	PROPN
ajtas-98	59	2	nuqta	nuqta	PROPN
ajtas-98	59	3	uchun	uchun	PROPN
ajtas-98	59	4	ac	ac	PROPN
ajtas-98	59	5	vektori	vektori	PROPN
ajtas-98	59	6	u	u	PROPN
ajtas-98	59	7	va	va	PROPN
ajtas-98	59	8	tenglama	tenglama	PROPN
ajtas-98	59	9	bilan	bilan	PROPN
ajtas-98	59	10	to'g'ri	to'g'ri	PROPN
ajtas-98	59	11	keladi	keladi	NOUN
ajtas-98	59	12	.	.	PUNCT
ajtas-98	60	1	qatordan	qatordan	PROPN
ajtas-98	60	2	iborat	iborat	PROPN
ajtas-98	60	3	american	american	PROPN
ajtas-98	60	4	journal	journal	PROPN
ajtas-98	60	5	of	of	ADP
ajtas-98	60	6	technology	technology	NOUN
ajtas-98	60	7	and	and	CCONJ
ajtas-98	60	8	applied	apply	VERB
ajtas-98	60	9	sciences	science	NOUN
ajtas-98	60	10	volume	volume	NOUN
ajtas-98	60	11	5	5	NUM
ajtas-98	60	12	,	,	PUNCT
ajtas-98	60	13	oct	oct	PROPN
ajtas-98	60	14	.	.	PROPN
ajtas-98	60	15	,	,	PUNCT
ajtas-98	60	16	2022	2022	NUM
ajtas-98	60	17	p	p	NOUN
ajtas-98	60	18	a	a	DET
ajtas-98	60	19	g	g	NOUN
ajtas-98	60	20	e	e	NOUN
ajtas-98	60	21	|	|	NOUN
ajtas-98	60	22	12	12	NUM
ajtas-98	60	23	www.americanjournal.org	www.americanjournal.org	PROPN
ajtas-98	60	24	ar	ar	NOUN
ajtas-98	60	25	x	x	SYM
ajtas-98	60	26	u	u	NOUN
ajtas-98	60	27	=	=	PROPN
ajtas-98	60	28	0	0	NUM
ajtas-98	60	29	,	,	PUNCT
ajtas-98	60	30	bu	bu	PROPN
ajtas-98	60	31	eng	eng	PROPN
ajtas-98	60	32	to'g'ridan	to'g'ridan	PROPN
ajtas-98	60	33	-	-	PUNCT
ajtas-98	60	34	to'g'ri	to'g'ri	NOUN
ajtas-98	60	35	noma'lum	noma'lum	NOUN
ajtas-98	60	36	p	p	PROPN
ajtas-98	60	37	va	va	PROPN
ajtas-98	60	38	ma'lumotlar	ma'lumotlar	PROPN
ajtas-98	60	39	a	a	DET
ajtas-98	60	40	va	va	PROPN
ajtas-98	60	41	u	u	PROPN
ajtas-98	60	42	o'rtasidagi	o'rtasidagi	PROPN
ajtas-98	60	43	munosabatni	munosabatni	NOUN
ajtas-98	60	44	ifodalaydi	ifodalaydi	PROPN
ajtas-98	60	45	va	va	PROPN
ajtas-98	60	46	bundan	bundan	PROPN
ajtas-98	60	47	tashqari	tashqari	PROPN
ajtas-98	60	48	,	,	PUNCT
ajtas-98	60	49	fazoda	fazoda	PROPN
ajtas-98	60	50	bir	bir	PROPN
ajtas-98	60	51	xil	xil	PROPN
ajtas-98	60	52	chiziqni	chiziqni	PROPN
ajtas-98	60	53	belgilaydi	belgilaydi	VERB
ajtas-98	60	54	.	.	PUNCT
ajtas-98	61	1	bu	bu	PROPN
ajtas-98	61	2	tenglamani	tenglamani	PROPN
ajtas-98	61	3	ax+bu+c	ax+bu+c	PROPN
ajtas-98	61	4	=	=	SYM
ajtas-98	61	5	0	0	NUM
ajtas-98	61	6	to‘g‘ri	to‘g‘ri	NOUN
ajtas-98	61	7	chiziqning	chiziqne	VERB
ajtas-98	61	8	umumiy	umumiy	NOUN
ajtas-98	61	9	tenglamasi	tenglamasi	PROPN
ajtas-98	61	10	bilan	bilan	PROPN
ajtas-98	61	11	solishtirish	solishtirish	PROPN
ajtas-98	61	12	foydalidir	foydalidir	PROPN
ajtas-98	61	13	.	.	PUNCT
ajtas-98	62	1	koordinatalar	koordinatalar	ADJ
ajtas-98	62	2	.	.	PUNCT
ajtas-98	63	1	ikkinchisi	ikkinchisi	ADJ
ajtas-98	63	2	to'g'ridan	to'g'ridan	ADJ
ajtas-98	63	3	-	-	PUNCT
ajtas-98	63	4	to'g'ri	to'g'ri	NOUN
ajtas-98	63	5	aks	ak	NOUN
ajtas-98	63	6	ettirmaydi	ettirmaydi	NOUN
ajtas-98	63	7	:	:	PUNCT
ajtas-98	63	8	qaysi	qaysi	NOUN
ajtas-98	63	9	chiziqqa	chiziqqa	NOUN
ajtas-98	63	10	mos	mos	PROPN
ajtas-98	63	11	kelishi	kelishi	PROPN
ajtas-98	63	12	darhol	darhol	PROPN
ajtas-98	63	13	aniq	aniq	PROPN
ajtas-98	63	14	emas	emas	PROPN
ajtas-98	63	15	va	va	PROPN
ajtas-98	63	16	uni	uni	PROPN
ajtas-98	63	17	tuzish	tuzish	PROPN
ajtas-98	63	18	kerak	kerak	PROPN
ajtas-98	63	19	bo'lganda	bo'lganda	PROPN
ajtas-98	63	20	,	,	PUNCT
ajtas-98	63	21	koeffitsientlarni	koeffitsientlarni	PROPN
ajtas-98	63	22	a	a	DET
ajtas-98	63	23	va	va	PROPN
ajtas-98	63	24	u	u	PROPN
ajtas-98	63	25	(	(	PUNCT
ajtas-98	63	26	yoki	yoki	PROPN
ajtas-98	63	27	b	b	PROPN
ajtas-98	63	28	)	)	PUNCT
ajtas-98	63	29	ma'lumotlaridan	ma'lumotlaridan	PROPN
ajtas-98	63	30	topish	topish	PROPN
ajtas-98	63	31	kerak	kerak	PROPN
ajtas-98	63	32	.	.	PUNCT
ajtas-98	64	1	kosmosda	kosmosda	NOUN
ajtas-98	64	2	koordinatalardagi	koordinatalardagi	PROPN
ajtas-98	64	3	tenglama	tenglama	PROPN
ajtas-98	64	4	endi	endi	PROPN
ajtas-98	64	5	to'g'ri	to'g'ri	PROPN
ajtas-98	64	6	chiziqni	chiziqni	PROPN
ajtas-98	64	7	emas	emas	PROPN
ajtas-98	64	8	,	,	PUNCT
ajtas-98	64	9	balki	balki	ADP
ajtas-98	64	10	tekislikni	tekislikni	PROPN
ajtas-98	64	11	belgilaydi	belgilaydi	VERB
ajtas-98	64	12	.	.	PUNCT
ajtas-98	64	13	foydalangan	foydalangan	VERB
ajtas-98	64	14	adabiyotlar	adabiyotlar	ADJ
ajtas-98	64	15	1	1	NUM
ajtas-98	64	16	.	.	PUNCT
ajtas-98	65	1	шабалина	шабалина	PROPN
ajtas-98	65	2	м	м	NUM
ajtas-98	65	3	.	.	PUNCT
ajtas-98	66	1	р	р	ADP
ajtas-98	66	2	.	.	PROPN
ajtas-98	66	3	,	,	PUNCT
ajtas-98	66	4	хохлова	хохлова	PROPN
ajtas-98	66	5	м	м	X
ajtas-98	66	6	.	.	PUNCT
ajtas-98	67	1	в	в	X
ajtas-98	67	2	.	.	PROPN
ajtas-98	67	3	,	,	PUNCT
ajtas-98	67	4	ситникова	ситникова	VERB
ajtas-98	67	5	и	и	PRON
ajtas-98	67	6	.	.	PUNCT
ajtas-98	67	7	в	в	PROPN
ajtas-98	67	8	.	.	PUNCT
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ajtas-98	68	2	изложения	изложения	VERB
ajtas-98	68	3	темы	темы	NOUN
ajtas-98	68	4	«	«	PUNCT
ajtas-98	68	5	основы	основы	NOUN
ajtas-98	68	6	векторного	векторного	NOUN
ajtas-98	68	7	исчисления	исчисления	NOUN
ajtas-98	68	8	»	»	PUNCT
ajtas-98	68	9	в	в	PROPN
ajtas-98	68	10	техническом	техническом	PROPN
ajtas-98	68	11	вузе	вузе	PROPN
ajtas-98	68	12	//	//	SYM
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ajtas-98	68	14	-	-	PROPN
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ajtas-98	68	16	электронный	электронный	NOUN
ajtas-98	68	17	журнал	журнал	NOUN
ajtas-98	68	18	«	«	PUNCT
ajtas-98	68	19	концепт	концепт	ADJ
ajtas-98	68	20	»	»	NOUN
ajtas-98	68	21	.	.	PUNCT
ajtas-98	69	1	2017	2017	NUM
ajtas-98	69	2	.	.	PUNCT
ajtas-98	70	1	№	№	ADJ
ajtas-98	70	2	v10	v10	PROPN
ajtas-98	70	3	.	.	PROPN
ajtas-98	70	4	0,4	0,4	NUM
ajtas-98	70	5	п	п	PROPN
ajtas-98	70	6	.	.	PUNCT
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ajtas-98	71	2	.	.	PROPN
ajtas-98	71	3	-url	-url	NUM
ajtas-98	71	4	:	:	PUNCT
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ajtas-98	72	2	.	.	PUNCT
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ajtas-98	73	2	.	.	X
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ajtas-98	73	6	(	(	PUNCT
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ajtas-98	73	9	.	.	PUNCT
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ajtas-98	74	2	analiz	analiz	PROPN
ajtas-98	74	3	:	:	PUNCT
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ajtas-98	74	5	.	.	PUNCT
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ajtas-98	75	2	dlja	dlja	ADJ
ajtas-98	75	3	vtuzov	vtuzov	PROPN
ajtas-98	75	4	,	,	PUNCT
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ajtas-98	75	6	.	.	PUNCT
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ajtas-98	76	3	.	.	PUNCT
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ajtas-98	77	2	i.	i.	PROPN
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ajtas-98	77	4	,	,	PUNCT
ajtas-98	77	5	t.	t.	PROPN
ajtas-98	77	6	1	1	NUM
ajtas-98	77	7	,	,	PUNCT
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ajtas-98	77	9	.	.	PUNCT
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ajtas-98	78	3	,	,	PUNCT
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ajtas-98	78	5	,	,	PUNCT
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ajtas-98	78	7	p.	p.	NOUN
ajtas-98	78	8	(	(	PUNCT
ajtas-98	78	9	in	in	ADP
ajtas-98	78	10	russian	russian	NOUN
ajtas-98	78	11	)	)	PUNCT
ajtas-98	78	12	.	.	PUNCT
ajtas-98	79	1	3	3	X
ajtas-98	79	2	.	.	NUM
ajtas-98	79	3	концепт	концепт	ADV
ajtas-98	79	4	,	,	PUNCT
ajtas-98	79	5	научно	научно	ADJ
ajtas-98	79	6	-	-	ADJ
ajtas-98	79	7	методический	методический	NOUN
ajtas-98	79	8	электронный	электронный	NOUN
ajtas-98	79	9	журнал	журнал	NOUN
ajtas-98	79	10	,	,	PUNCT
ajtas-98	79	11	2017	2017	NUM
ajtas-98	79	12	©	©	PROPN
ajtas-98	79	13	шабалина	шабалина	PROPN
ajtas-98	79	14	м	м	NUM
ajtas-98	79	15	.	.	PUNCT
ajtas-98	80	1	р	р	ADP
ajtas-98	80	2	.	.	PROPN
ajtas-98	80	3	,	,	PUNCT
ajtas-98	80	4	хохлова	хохлова	PROPN
ajtas-98	80	5	м	м	X
ajtas-98	80	6	.	.	PUNCT
ajtas-98	81	1	в	в	X
ajtas-98	81	2	.	.	PROPN
ajtas-98	81	3	,	,	PUNCT
ajtas-98	81	4	ситникова	ситникова	VERB
ajtas-98	81	5	и	и	PRON
ajtas-98	81	6	.	.	PUNCT
ajtas-98	81	7	в	в	PROPN
ajtas-98	81	8	.	.	PUNCT