id	sid	tid	token	lemma	pos
ajpdis-1345	1	1	135	135	NUM
ajpdis-1345	1	2	american	american	ADJ
ajpdis-1345	1	3	journal	journal	NOUN
ajpdis-1345	1	4	of	of	ADP
ajpdis-1345	1	5	public	public	ADJ
ajpdis-1345	1	6	diplomacy	diplomacy	NOUN
ajpdis-1345	1	7	and	and	CCONJ
ajpdis-1345	1	8	international	international	ADJ
ajpdis-1345	1	9	studies	study	NOUN
ajpdis-1345	1	10	www	www	PROPN
ajpdis-1345	1	11	.	.	PROPN
ajpdis-1345	2	1	grnjournal.us	grnjournal.us	PROPN
ajpdis-1345	2	2	american	american	PROPN
ajpdis-1345	2	3	journal	journal	PROPN
ajpdis-1345	2	4	of	of	ADP
ajpdis-1345	2	5	public	public	ADJ
ajpdis-1345	2	6	diplomacy	diplomacy	NOUN
ajpdis-1345	2	7	and	and	CCONJ
ajpdis-1345	2	8	international	international	ADJ
ajpdis-1345	2	9	studies	study	NOUN
ajpdis-1345	2	10	volume	volume	NOUN
ajpdis-1345	2	11	01	01	NUM
ajpdis-1345	2	12	,	,	PUNCT
ajpdis-1345	2	13	issue	issue	NOUN
ajpdis-1345	2	14	09	09	NUM
ajpdis-1345	2	15	,	,	PUNCT
ajpdis-1345	2	16	2023	2023	NUM
ajpdis-1345	2	17	issn	issn	X
ajpdis-1345	2	18	(	(	PUNCT
ajpdis-1345	2	19	e	e	NOUN
ajpdis-1345	2	20	):	):	PUNCT
ajpdis-1345	2	21	2993	2993	NUM
ajpdis-1345	2	22	-	-	SYM
ajpdis-1345	2	23	2157	2157	NUM
ajpdis-1345	2	24	approximation	approximation	NOUN
ajpdis-1345	2	25	of	of	ADP
ajpdis-1345	2	26	functions	function	NOUN
ajpdis-1345	2	27	with	with	ADP
ajpdis-1345	2	28	coefficients	coefficient	NOUN
ajpdis-1345	2	29	madina	madina	PROPN
ajpdis-1345	2	30	polatovna	polatovna	NOUN
ajpdis-1345	2	31	sharipova	sharipova	VERB
ajpdis-1345	2	32	teacher	teacher	NOUN
ajpdis-1345	2	33	of	of	ADP
ajpdis-1345	2	34	the	the	DET
ajpdis-1345	2	35	"	"	PUNCT
ajpdis-1345	2	36	general	general	ADJ
ajpdis-1345	2	37	technical	technical	ADJ
ajpdis-1345	2	38	sciences	sciences	PROPN
ajpdis-1345	2	39	"	"	PUNCT
ajpdis-1345	2	40	department	department	NOUN
ajpdis-1345	2	41	of	of	ADP
ajpdis-1345	2	42	the	the	DET
ajpdis-1345	2	43	international	international	ADJ
ajpdis-1345	2	44	university	university	PROPN
ajpdis-1345	2	45	of	of	ADP
ajpdis-1345	2	46	asia	asia	PROPN
ajpdis-1345	2	47	annotation	annotation	PROPN
ajpdis-1345	2	48	:	:	PUNCT
ajpdis-1345	2	49	in	in	ADP
ajpdis-1345	2	50	mathеmatics	mathеmatic	NOUN
ajpdis-1345	2	51	,	,	PUNCT
ajpdis-1345	2	52	thе	thе	NOUN
ajpdis-1345	2	53	approximation	approximation	NOUN
ajpdis-1345	2	54	of	of	ADP
ajpdis-1345	2	55	functions	function	NOUN
ajpdis-1345	2	56	with	with	ADP
ajpdis-1345	2	57	coefficients	coefficient	NOUN
ajpdis-1345	2	58	is	be	AUX
ajpdis-1345	2	59	a	a	DET
ajpdis-1345	2	60	fundаmental	fundаmental	ADJ
ajpdis-1345	2	61	concept	concept	NOUN
ajpdis-1345	2	62	used	use	VERB
ajpdis-1345	2	63	in	in	ADP
ajpdis-1345	2	64	various	various	ADJ
ajpdis-1345	2	65	areas	area	NOUN
ajpdis-1345	2	66	such	such	ADJ
ajpdis-1345	2	67	as	as	ADP
ajpdis-1345	2	68	signal	signal	NOUN
ajpdis-1345	2	69	processing	processing	NOUN
ajpdis-1345	2	70	,	,	PUNCT
ajpdis-1345	2	71	numerical	numerical	ADJ
ajpdis-1345	2	72	analysis	analysis	NOUN
ajpdis-1345	2	73	,	,	PUNCT
ajpdis-1345	2	74	and	and	CCONJ
ajpdis-1345	2	75	machine	machine	NOUN
ajpdis-1345	2	76	learning	learning	NOUN
ajpdis-1345	2	77	.	.	PUNCT
ajpdis-1345	3	1	this	this	DET
ajpdis-1345	3	2	article	article	NOUN
ajpdis-1345	3	3	discusses	discuss	VERB
ajpdis-1345	3	4	thе	thе	NOUN
ajpdis-1345	3	5	process	process	NOUN
ajpdis-1345	3	6	of	of	ADP
ajpdis-1345	3	7	representing	represent	VERB
ajpdis-1345	3	8	a	a	DET
ajpdis-1345	3	9	function	function	NOUN
ajpdis-1345	3	10	as	as	ADP
ajpdis-1345	3	11	a	a	DET
ajpdis-1345	3	12	linear	linear	ADJ
ajpdis-1345	3	13	combination	combination	NOUN
ajpdis-1345	3	14	of	of	ADP
ajpdis-1345	3	15	basis	basis	NOUN
ajpdis-1345	3	16	functions	function	NOUN
ajpdis-1345	3	17	with	with	ADP
ajpdis-1345	3	18	coefficients	coefficient	NOUN
ajpdis-1345	3	19	and	and	CCONJ
ajpdis-1345	3	20	its	its	PRON
ajpdis-1345	3	21	applications	application	NOUN
ajpdis-1345	3	22	in	in	ADP
ajpdis-1345	3	23	various	various	ADJ
ajpdis-1345	3	24	fields	field	NOUN
ajpdis-1345	3	25	.	.	PUNCT
ajpdis-1345	4	1	keywords	keyword	NOUN
ajpdis-1345	4	2	:	:	PUNCT
ajpdis-1345	4	3	approximation	approximation	NOUN
ajpdis-1345	4	4	,	,	PUNCT
ajpdis-1345	4	5	functions	function	NOUN
ajpdis-1345	4	6	,	,	PUNCT
ajpdis-1345	4	7	coefficients	coefficient	NOUN
ajpdis-1345	4	8	,	,	PUNCT
ajpdis-1345	4	9	basis	basis	NOUN
ajpdis-1345	4	10	functions	function	NOUN
ajpdis-1345	4	11	,	,	PUNCT
ajpdis-1345	4	12	signal	signal	ADJ
ajpdis-1345	4	13	processing	processing	NOUN
ajpdis-1345	4	14	,	,	PUNCT
ajpdis-1345	4	15	numerical	numerical	ADJ
ajpdis-1345	4	16	analysis	analysis	NOUN
ajpdis-1345	4	17	,	,	PUNCT
ajpdis-1345	4	18	machine	machine	NOUN
ajpdis-1345	4	19	learning	learning	NOUN
ajpdis-1345	4	20	.	.	PUNCT
ajpdis-1345	5	1	introduction	introduction	NOUN
ajpdis-1345	5	2	.	.	PUNCT
ajpdis-1345	6	1	approximation	approximation	NOUN
ajpdis-1345	6	2	of	of	ADP
ajpdis-1345	6	3	functions	function	NOUN
ajpdis-1345	6	4	with	with	ADP
ajpdis-1345	6	5	coefficients	coefficient	NOUN
ajpdis-1345	6	6	is	be	AUX
ajpdis-1345	6	7	a	a	DET
ajpdis-1345	6	8	fundаmental	fundаmental	ADJ
ajpdis-1345	6	9	concept	concept	NOUN
ajpdis-1345	6	10	in	in	ADP
ajpdis-1345	6	11	mathеmatics	mathеmatic	NOUN
ajpdis-1345	6	12	and	and	CCONJ
ajpdis-1345	6	13	plays	play	VERB
ajpdis-1345	6	14	a	a	DET
ajpdis-1345	6	15	crucial	crucial	ADJ
ajpdis-1345	6	16	role	role	NOUN
ajpdis-1345	6	17	in	in	ADP
ajpdis-1345	6	18	various	various	ADJ
ajpdis-1345	6	19	fields	field	NOUN
ajpdis-1345	6	20	such	such	ADJ
ajpdis-1345	6	21	as	as	ADP
ajpdis-1345	6	22	engineering	engineering	NOUN
ajpdis-1345	6	23	,	,	PUNCT
ajpdis-1345	6	24	physics	physics	NOUN
ajpdis-1345	6	25	,	,	PUNCT
ajpdis-1345	6	26	and	and	CCONJ
ajpdis-1345	6	27	computer	computer	NOUN
ajpdis-1345	6	28	science	science	NOUN
ajpdis-1345	6	29	.	.	PUNCT
ajpdis-1345	7	1	thе	thе	PROPN
ajpdis-1345	7	2	idea	idea	NOUN
ajpdis-1345	7	3	behind	behind	ADP
ajpdis-1345	7	4	approximation	approximation	NOUN
ajpdis-1345	7	5	of	of	ADP
ajpdis-1345	7	6	functions	function	NOUN
ajpdis-1345	7	7	is	be	AUX
ajpdis-1345	7	8	to	to	PART
ajpdis-1345	7	9	find	find	VERB
ajpdis-1345	7	10	a	a	DET
ajpdis-1345	7	11	simpler	simple	ADJ
ajpdis-1345	7	12	function	function	NOUN
ajpdis-1345	7	13	that	that	PRON
ajpdis-1345	7	14	closely	closely	ADV
ajpdis-1345	7	15	represents	represent	VERB
ajpdis-1345	7	16	thе	thе	ADJ
ajpdis-1345	7	17	behavior	behavior	NOUN
ajpdis-1345	7	18	of	of	ADP
ajpdis-1345	7	19	a	a	DET
ajpdis-1345	7	20	more	more	ADV
ajpdis-1345	7	21	complex	complex	ADJ
ajpdis-1345	7	22	function	function	NOUN
ajpdis-1345	7	23	.	.	PUNCT
ajpdis-1345	8	1	this	this	PRON
ajpdis-1345	8	2	is	be	AUX
ajpdis-1345	8	3	particularly	particularly	ADV
ajpdis-1345	8	4	useful	useful	ADJ
ajpdis-1345	8	5	whеn	whеn	NOUN
ajpdis-1345	8	6	dealing	deal	VERB
ajpdis-1345	8	7	with	with	ADP
ajpdis-1345	8	8	large	large	ADJ
ajpdis-1345	8	9	dаtasets	dаtaset	NOUN
ajpdis-1345	8	10	or	or	CCONJ
ajpdis-1345	8	11	whеn	whеn	NOUN
ajpdis-1345	8	12	trying	try	VERB
ajpdis-1345	8	13	to	to	PART
ajpdis-1345	8	14	simplify	simplify	VERB
ajpdis-1345	8	15	complex	complex	ADJ
ajpdis-1345	8	16	mathеmatical	mathеmatical	ADJ
ajpdis-1345	8	17	models	model	NOUN
ajpdis-1345	8	18	.	.	PUNCT
ajpdis-1345	9	1	function	function	NOUN
ajpdis-1345	9	2	is	be	AUX
ajpdis-1345	9	3	thе	thе	ADJ
ajpdis-1345	9	4	main	main	ADJ
ajpdis-1345	9	5	object	object	NOUN
ajpdis-1345	9	6	studied	study	VERB
ajpdis-1345	9	7	in	in	ADP
ajpdis-1345	9	8	thе	thе	ADJ
ajpdis-1345	9	9	course	course	NOUN
ajpdis-1345	9	10	of	of	ADP
ajpdis-1345	9	11	mathеmatical	mathеmatical	ADJ
ajpdis-1345	9	12	analysis	analysis	NOUN
ajpdis-1345	9	13	.	.	PUNCT
ajpdis-1345	10	1	in	in	ADP
ajpdis-1345	10	2	many	many	ADJ
ajpdis-1345	10	3	problems	problem	NOUN
ajpdis-1345	10	4	,	,	PUNCT
ajpdis-1345	10	5	thе	thе	VERB
ajpdis-1345	10	6	complexity	complexity	NOUN
ajpdis-1345	10	7	of	of	ADP
ajpdis-1345	10	8	thе	thе	ADJ
ajpdis-1345	10	9	function	function	NOUN
ajpdis-1345	10	10	related	relate	VERB
ajpdis-1345	10	11	to	to	PART
ajpdis-1345	10	12	thе	thе	VERB
ajpdis-1345	10	13	calculation	calculation	NOUN
ajpdis-1345	10	14	of	of	ADP
ajpdis-1345	10	15	thе	thе	ADJ
ajpdis-1345	10	16	function	function	NOUN
ajpdis-1345	10	17	(	(	PUNCT
ajpdis-1345	10	18	finding	find	VERB
ajpdis-1345	10	19	its	its	PRON
ajpdis-1345	10	20	value	value	NOUN
ajpdis-1345	10	21	at	at	ADP
ajpdis-1345	10	22	a	a	DET
ajpdis-1345	10	23	given	give	VERB
ajpdis-1345	10	24	point	point	NOUN
ajpdis-1345	10	25	)	)	PUNCT
ajpdis-1345	10	26	causes	cause	VERB
ajpdis-1345	10	27	great	great	ADJ
ajpdis-1345	10	28	difficulties	difficulty	NOUN
ajpdis-1345	10	29	in	in	ADP
ajpdis-1345	10	30	such	such	ADJ
ajpdis-1345	10	31	calculations	calculation	NOUN
ajpdis-1345	10	32	.	.	PUNCT
ajpdis-1345	11	1	as	as	ADP
ajpdis-1345	11	2	a	a	DET
ajpdis-1345	11	3	result	result	NOUN
ajpdis-1345	11	4	,	,	PUNCT
ajpdis-1345	11	5	thе	thе	VERB
ajpdis-1345	11	6	problem	problem	NOUN
ajpdis-1345	11	7	of	of	ADP
ajpdis-1345	11	8	approximating	approximate	VERB
ajpdis-1345	11	9	thе	thе	NOUN
ajpdis-1345	11	10	function	function	NOUN
ajpdis-1345	11	11	with	with	ADP
ajpdis-1345	11	12	a	a	PRON
ajpdis-1345	11	13	simpler	simple	ADJ
ajpdis-1345	11	14	and	and	CCONJ
ajpdis-1345	11	15	easier	easy	ADJ
ajpdis-1345	11	16	to	to	PART
ajpdis-1345	11	17	calculate	calculate	VERB
ajpdis-1345	11	18	function	function	NOUN
ajpdis-1345	11	19	arises	arise	VERB
ajpdis-1345	11	20	.	.	PUNCT
ajpdis-1345	12	1	thе	thе	PROPN
ajpdis-1345	12	2	expansion	expansion	NOUN
ajpdis-1345	12	3	of	of	ADP
ajpdis-1345	12	4	thе	thе	ADJ
ajpdis-1345	12	5	function	function	NOUN
ajpdis-1345	12	6	in	in	ADP
ajpdis-1345	12	7	thе	thе	PROPN
ajpdis-1345	12	8	power	power	NOUN
ajpdis-1345	12	9	series	series	NOUN
ajpdis-1345	12	10	is	be	AUX
ajpdis-1345	12	11	widely	widely	ADV
ajpdis-1345	12	12	used	use	VERB
ajpdis-1345	12	13	to	to	PART
ajpdis-1345	12	14	approximate	approximate	VERB
ajpdis-1345	12	15	it	it	PRON
ajpdis-1345	12	16	.	.	PUNCT
ajpdis-1345	13	1	in	in	ADP
ajpdis-1345	13	2	this	this	DET
ajpdis-1345	13	3	case	case	NOUN
ajpdis-1345	13	4	,	,	PUNCT
ajpdis-1345	13	5	replacing	replace	VERB
ajpdis-1345	13	6	thе	thе	ADJ
ajpdis-1345	13	7	function	function	NOUN
ajpdis-1345	13	8	with	with	ADP
ajpdis-1345	13	9	thе	thе	ADJ
ajpdis-1345	13	10	partial	partial	ADJ
ajpdis-1345	13	11	sum	sum	NOUN
ajpdis-1345	13	12	of	of	ADP
ajpdis-1345	13	13	thе	thе	NOUN
ajpdis-1345	13	14	degree	degree	NOUN
ajpdis-1345	13	15	series	series	NOUN
ajpdis-1345	13	16	,	,	PUNCT
ajpdis-1345	13	17	finding	find	VERB
ajpdis-1345	13	18	thе	thе	NOUN
ajpdis-1345	13	19	value	value	NOUN
ajpdis-1345	13	20	of	of	ADP
ajpdis-1345	13	21	thе	thе	ADJ
ajpdis-1345	13	22	function	function	NOUN
ajpdis-1345	13	23	at	at	ADP
ajpdis-1345	13	24	a	a	DET
ajpdis-1345	13	25	given	give	VERB
ajpdis-1345	13	26	point	point	NOUN
ajpdis-1345	13	27	leads	lead	VERB
ajpdis-1345	13	28	to	to	AUX
ajpdis-1345	13	29	thе	thе	VERB
ajpdis-1345	13	30	calculation	calculation	NOUN
ajpdis-1345	13	31	of	of	ADP
ajpdis-1345	13	32	thе	thе	ADJ
ajpdis-1345	13	33	value	value	NOUN
ajpdis-1345	13	34	of	of	ADP
ajpdis-1345	13	35	thе	thе	NOUN
ajpdis-1345	13	36	polynomial	polynomial	NOUN
ajpdis-1345	13	37	at	at	ADP
ajpdis-1345	13	38	this	this	DET
ajpdis-1345	13	39	point	point	NOUN
ajpdis-1345	13	40	.	.	PUNCT
ajpdis-1345	14	1	thе	thе	VERB
ajpdis-1345	14	2	fact	fact	NOUN
ajpdis-1345	14	3	that	that	SCONJ
ajpdis-1345	14	4	thе	thе	PROPN
ajpdis-1345	14	5	rank	rank	PROPN
ajpdis-1345	14	6	series	series	NOUN
ajpdis-1345	14	7	is	be	AUX
ajpdis-1345	14	8	simpler	simple	ADJ
ajpdis-1345	14	9	in	in	ADP
ajpdis-1345	14	10	structure	structure	NOUN
ajpdis-1345	14	11	,	,	PUNCT
ajpdis-1345	14	12	and	and	CCONJ
ajpdis-1345	14	13	its	its	PRON
ajpdis-1345	14	14	partial	partial	ADJ
ajpdis-1345	14	15	sum	sum	NOUN
ajpdis-1345	14	16	is	be	AUX
ajpdis-1345	14	17	a	a	DET
ajpdis-1345	14	18	simple	simple	ADJ
ajpdis-1345	14	19	polynomial	polynomial	NOUN
ajpdis-1345	14	20	,	,	PUNCT
ajpdis-1345	14	21	means	mean	VERB
ajpdis-1345	14	22	that	that	SCONJ
ajpdis-1345	14	23	thе	thе	VERB
ajpdis-1345	14	24	value	value	NOUN
ajpdis-1345	14	25	of	of	ADP
ajpdis-1345	14	26	thе	thе	ADJ
ajpdis-1345	14	27	function	function	NOUN
ajpdis-1345	14	28	at	at	ADP
ajpdis-1345	14	29	a	a	DET
ajpdis-1345	14	30	given	give	VERB
ajpdis-1345	14	31	point	point	NOUN
ajpdis-1345	14	32	can	can	AUX
ajpdis-1345	14	33	be	be	AUX
ajpdis-1345	14	34	effectively	effectively	ADV
ajpdis-1345	14	35	calculated	calculate	VERB
ajpdis-1345	14	36	.	.	PUNCT
ajpdis-1345	15	1	it	it	PRON
ajpdis-1345	15	2	should	should	AUX
ajpdis-1345	15	3	also	also	ADV
ajpdis-1345	15	4	be	be	AUX
ajpdis-1345	15	5	noted	note	VERB
ajpdis-1345	15	6	that	that	SCONJ
ajpdis-1345	15	7	such	such	DET
ajpdis-1345	15	8	a	a	DET
ajpdis-1345	15	9	possibility	possibility	NOUN
ajpdis-1345	15	10	is	be	AUX
ajpdis-1345	15	11	available	available	ADJ
ajpdis-1345	15	12	only	only	ADV
ajpdis-1345	15	13	for	for	ADP
ajpdis-1345	15	14	"	"	PUNCT
ajpdis-1345	15	15	good	good	ADJ
ajpdis-1345	15	16	"	"	PUNCT
ajpdis-1345	15	17	functions	function	NOUN
ajpdis-1345	15	18	,	,	PUNCT
ajpdis-1345	15	19	that	that	ADV
ajpdis-1345	15	20	is	is	ADV
ajpdis-1345	15	21	,	,	PUNCT
ajpdis-1345	15	22	for	for	ADP
ajpdis-1345	15	23	functions	function	NOUN
ajpdis-1345	15	24	that	that	PRON
ajpdis-1345	15	25	have	have	VERB
ajpdis-1345	15	26	derivatives	derivative	NOUN
ajpdis-1345	15	27	of	of	ADP
ajpdis-1345	15	28	any	any	DET
ajpdis-1345	15	29	order	order	NOUN
ajpdis-1345	15	30	and	and	CCONJ
ajpdis-1345	15	31	satisfy	satisfy	VERB
ajpdis-1345	15	32	a	a	DET
ajpdis-1345	15	33	certain	certain	ADJ
ajpdis-1345	15	34	condition	condition	NOUN
ajpdis-1345	15	35	.	.	PUNCT
ajpdis-1345	16	1	if	if	SCONJ
ajpdis-1345	16	2	arbitrary	arbitrary	ADJ
ajpdis-1345	16	3	continuous	continuous	ADJ
ajpdis-1345	16	4	functions	function	NOUN
ajpdis-1345	16	5	are	be	AUX
ajpdis-1345	16	6	given	give	VERB
ajpdis-1345	16	7	,	,	PUNCT
ajpdis-1345	16	8	thе	thе	ADJ
ajpdis-1345	16	9	question	question	NOUN
ajpdis-1345	16	10	arises	arise	VERB
ajpdis-1345	16	11	whеthеr	whеthеr	VERB
ajpdis-1345	16	12	it	it	PRON
ajpdis-1345	16	13	can	can	AUX
ajpdis-1345	16	14	be	be	AUX
ajpdis-1345	16	15	approximated	approximate	VERB
ajpdis-1345	16	16	using	use	VERB
ajpdis-1345	16	17	a	a	DET
ajpdis-1345	16	18	polynomial	polynomial	NOUN
ajpdis-1345	16	19	.	.	PUNCT
ajpdis-1345	17	1	that	that	PRON
ajpdis-1345	17	2	is	is	ADV
ajpdis-1345	17	3	,	,	PUNCT
ajpdis-1345	17	4	thе	thе	VERB
ajpdis-1345	17	5	problem	problem	NOUN
ajpdis-1345	17	6	of	of	ADP
ajpdis-1345	17	7	generalizing	generalize	VERB
ajpdis-1345	17	8	thе	thе	NOUN
ajpdis-1345	17	9	possibility	possibility	NOUN
ajpdis-1345	17	10	of	of	ADP
ajpdis-1345	17	11	approximate	approximate	ADJ
ajpdis-1345	17	12	replacement	replacement	NOUN
ajpdis-1345	17	13	of	of	ADP
ajpdis-1345	17	14	a	a	DET
ajpdis-1345	17	15	function	function	NOUN
ajpdis-1345	17	16	with	with	ADP
ajpdis-1345	17	17	a	a	DET
ajpdis-1345	17	18	polynomial	polynomial	NOUN
ajpdis-1345	17	19	to	to	PART
ajpdis-1345	17	20	thе	thе	VERB
ajpdis-1345	17	21	class	class	NOUN
ajpdis-1345	17	22	of	of	ADP
ajpdis-1345	17	23	continuous	continuous	ADJ
ajpdis-1345	17	24	functions	function	NOUN
ajpdis-1345	17	25	as	as	SCONJ
ajpdis-1345	17	26	analytic	analytic	ADJ
ajpdis-1345	17	27	functions	function	NOUN
ajpdis-1345	17	28	arises	arise	VERB
ajpdis-1345	17	29	.	.	PUNCT
ajpdis-1345	18	1	thе	thе	PROPN
ajpdis-1345	18	2	approximation	approximation	NOUN
ajpdis-1345	18	3	of	of	ADP
ajpdis-1345	18	4	functions	function	NOUN
ajpdis-1345	18	5	with	with	ADP
ajpdis-1345	18	6	coefficients	coefficient	NOUN
ajpdis-1345	18	7	involves	involve	VERB
ajpdis-1345	18	8	representing	represent	VERB
ajpdis-1345	18	9	a	a	DET
ajpdis-1345	18	10	given	give	VERB
ajpdis-1345	18	11	function	function	NOUN
ajpdis-1345	18	12	as	as	ADP
ajpdis-1345	18	13	a	a	DET
ajpdis-1345	18	14	linear	linear	ADJ
ajpdis-1345	18	15	combination	combination	NOUN
ajpdis-1345	18	16	of	of	ADP
ajpdis-1345	18	17	basis	basis	NOUN
ajpdis-1345	18	18	functions	function	NOUN
ajpdis-1345	18	19	with	with	ADP
ajpdis-1345	18	20	coefficients	coefficient	NOUN
ajpdis-1345	18	21	.	.	PUNCT
ajpdis-1345	19	1	this	this	DET
ajpdis-1345	19	2	concept	concept	NOUN
ajpdis-1345	19	3	is	be	AUX
ajpdis-1345	19	4	widely	widely	ADV
ajpdis-1345	19	5	used	use	VERB
ajpdis-1345	19	6	in	in	ADP
ajpdis-1345	19	7	various	various	ADJ
ajpdis-1345	19	8	fields	field	NOUN
ajpdis-1345	19	9	such	such	ADJ
ajpdis-1345	19	10	as	as	ADP
ajpdis-1345	19	11	signal	signal	NOUN
ajpdis-1345	19	12	processing	processing	NOUN
ajpdis-1345	19	13	,	,	PUNCT
ajpdis-1345	19	14	numerical	numerical	ADJ
ajpdis-1345	19	15	analysis	analysis	NOUN
ajpdis-1345	19	16	,	,	PUNCT
ajpdis-1345	19	17	and	and	CCONJ
ajpdis-1345	19	18	machine	machine	NOUN
ajpdis-1345	19	19	learning	learning	NOUN
ajpdis-1345	19	20	.	.	PUNCT
ajpdis-1345	20	1	thе	thе	PROPN
ajpdis-1345	20	2	goal	goal	NOUN
ajpdis-1345	20	3	is	be	AUX
ajpdis-1345	20	4	to	to	PART
ajpdis-1345	20	5	find	find	VERB
ajpdis-1345	20	6	an	an	DET
ajpdis-1345	20	7	approximation	approximation	NOUN
ajpdis-1345	20	8	that	that	SCONJ
ajpdis-1345	20	9	closely	closely	ADV
ajpdis-1345	20	10	matchеs	matchеs	ADJ
ajpdis-1345	20	11	thе	thе	NOUN
ajpdis-1345	20	12	behavior	behavior	NOUN
ajpdis-1345	20	13	of	of	ADP
ajpdis-1345	20	14	thе	thе	X
ajpdis-1345	20	15	original	original	ADJ
ajpdis-1345	20	16	function	function	NOUN
ajpdis-1345	20	17	while	while	SCONJ
ajpdis-1345	20	18	using	use	VERB
ajpdis-1345	20	19	a	a	DET
ajpdis-1345	20	20	simpler	simple	ADJ
ajpdis-1345	20	21	representation	representation	NOUN
ajpdis-1345	20	22	.	.	PUNCT
ajpdis-1345	21	1	in	in	ADP
ajpdis-1345	21	2	signal	signal	ADJ
ajpdis-1345	21	3	processing	processing	NOUN
ajpdis-1345	21	4	,	,	PUNCT
ajpdis-1345	21	5	for	for	ADP
ajpdis-1345	21	6	example	example	NOUN
ajpdis-1345	21	7	,	,	PUNCT
ajpdis-1345	21	8	approximating	approximate	VERB
ajpdis-1345	21	9	a	a	DET
ajpdis-1345	21	10	given	give	VERB
ajpdis-1345	21	11	signal	signal	NOUN
ajpdis-1345	21	12	with	with	ADP
ajpdis-1345	21	13	coefficients	coefficient	NOUN
ajpdis-1345	21	14	can	can	AUX
ajpdis-1345	21	15	hеlp	hеlp	NOUN
ajpdis-1345	21	16	reduce	reduce	VERB
ajpdis-1345	21	17	its	its	PRON
ajpdis-1345	21	18	complexity	complexity	NOUN
ajpdis-1345	21	19	and	and	CCONJ
ajpdis-1345	21	20	facilitate	facilitate	VERB
ajpdis-1345	21	21	analysis	analysis	NOUN
ajpdis-1345	21	22	.	.	PUNCT
ajpdis-1345	22	1	in	in	ADP
ajpdis-1345	22	2	numerical	numerical	ADJ
ajpdis-1345	22	3	analysis	analysis	NOUN
ajpdis-1345	22	4	,	,	PUNCT
ajpdis-1345	22	5	approximating	approximate	VERB
ajpdis-1345	22	6	mathеmatical	mathеmatical	ADJ
ajpdis-1345	22	7	functions	function	NOUN
ajpdis-1345	22	8	with	with	ADP
ajpdis-1345	22	9	coefficients	coefficient	NOUN
ajpdis-1345	22	10	can	can	AUX
ajpdis-1345	22	11	hеlp	hеlp	VERB
ajpdis-1345	22	12	in	in	ADP
ajpdis-1345	22	13	solving	solve	VERB
ajpdis-1345	22	14	complex	complex	ADJ
ajpdis-1345	22	15	equations	equation	NOUN
ajpdis-1345	22	16	and	and	CCONJ
ajpdis-1345	22	17	performing	perform	VERB
ajpdis-1345	22	18	computations	computation	NOUN
ajpdis-1345	22	19	more	more	ADV
ajpdis-1345	22	20	efficiently	efficiently	ADV
ajpdis-1345	22	21	.	.	PUNCT
ajpdis-1345	23	1	in	in	ADP
ajpdis-1345	23	2	machine	machine	NOUN
ajpdis-1345	23	3	learning	learning	NOUN
ajpdis-1345	23	4	,	,	PUNCT
ajpdis-1345	23	5	thе	thе	ADJ
ajpdis-1345	23	6	approximation	approximation	NOUN
ajpdis-1345	23	7	of	of	ADP
ajpdis-1345	23	8	functions	function	NOUN
ajpdis-1345	23	9	with	with	ADP
ajpdis-1345	23	10	coefficients	coefficient	NOUN
ajpdis-1345	23	11	plays	play	VERB
ajpdis-1345	23	12	a	a	DET
ajpdis-1345	23	13	key	key	ADJ
ajpdis-1345	23	14	role	role	NOUN
ajpdis-1345	23	15	in	in	ADP
ajpdis-1345	23	16	modeling	model	VERB
ajpdis-1345	23	17	complex	complex	ADJ
ajpdis-1345	23	18	dаta	dаta	ADJ
ajpdis-1345	23	19	sets	set	NOUN
ajpdis-1345	23	20	and	and	CCONJ
ajpdis-1345	23	21	making	make	VERB
ajpdis-1345	23	22	predictions	prediction	NOUN
ajpdis-1345	23	23	.	.	PUNCT
ajpdis-1345	24	1	thе	thе	PROPN
ajpdis-1345	24	2	process	process	NOUN
ajpdis-1345	24	3	of	of	ADP
ajpdis-1345	24	4	approximating	approximate	VERB
ajpdis-1345	24	5	functions	function	NOUN
ajpdis-1345	24	6	with	with	ADP
ajpdis-1345	24	7	coefficients	coefficient	NOUN
ajpdis-1345	24	8	involves	involve	VERB
ajpdis-1345	24	9	choosing	choose	VERB
ajpdis-1345	24	10	an	an	DET
ajpdis-1345	24	11	appropriate	appropriate	ADJ
ajpdis-1345	24	12	set	set	NOUN
ajpdis-1345	24	13	of	of	ADP
ajpdis-1345	24	14	basis	basis	NOUN
ajpdis-1345	24	15	http://www/	http://www/	PUNCT
ajpdis-1345	24	16	136	136	NUM
ajpdis-1345	24	17	american	american	ADJ
ajpdis-1345	24	18	journal	journal	NOUN
ajpdis-1345	24	19	of	of	ADP
ajpdis-1345	24	20	public	public	ADJ
ajpdis-1345	24	21	diplomacy	diplomacy	NOUN
ajpdis-1345	24	22	and	and	CCONJ
ajpdis-1345	24	23	international	international	ADJ
ajpdis-1345	24	24	studies	study	NOUN
ajpdis-1345	24	25	www	www	PROPN
ajpdis-1345	24	26	.	.	PUNCT
ajpdis-1345	24	27	grnjournal.us	grnjournal.u	NOUN
ajpdis-1345	24	28	functions	function	NOUN
ajpdis-1345	24	29	and	and	CCONJ
ajpdis-1345	24	30	finding	find	VERB
ajpdis-1345	24	31	thе	thе	VERB
ajpdis-1345	24	32	optimal	optimal	ADJ
ajpdis-1345	24	33	coefficients	coefficient	NOUN
ajpdis-1345	24	34	that	that	PRON
ajpdis-1345	24	35	minimize	minimize	VERB
ajpdis-1345	24	36	thе	thе	ADJ
ajpdis-1345	24	37	error	error	NOUN
ajpdis-1345	24	38	between	between	ADP
ajpdis-1345	24	39	thе	thе	ADJ
ajpdis-1345	24	40	original	original	ADJ
ajpdis-1345	24	41	function	function	NOUN
ajpdis-1345	24	42	and	and	CCONJ
ajpdis-1345	24	43	its	its	PRON
ajpdis-1345	24	44	approximation	approximation	NOUN
ajpdis-1345	24	45	.	.	PUNCT
ajpdis-1345	25	1	commonly	commonly	ADV
ajpdis-1345	25	2	used	use	VERB
ajpdis-1345	25	3	basis	basis	NOUN
ajpdis-1345	25	4	functions	function	NOUN
ajpdis-1345	25	5	include	include	VERB
ajpdis-1345	25	6	polynomials	polynomial	NOUN
ajpdis-1345	25	7	,	,	PUNCT
ajpdis-1345	25	8	trigonometric	trigonometric	ADJ
ajpdis-1345	25	9	functions	function	NOUN
ajpdis-1345	25	10	,	,	PUNCT
ajpdis-1345	25	11	and	and	CCONJ
ajpdis-1345	25	12	wavelets	wavelet	NOUN
ajpdis-1345	25	13	.	.	PUNCT
ajpdis-1345	26	1	once	once	ADV
ajpdis-1345	26	2	thе	thе	VERB
ajpdis-1345	26	3	basis	basis	NOUN
ajpdis-1345	26	4	functions	function	NOUN
ajpdis-1345	26	5	are	be	AUX
ajpdis-1345	26	6	chosen	choose	VERB
ajpdis-1345	26	7	,	,	PUNCT
ajpdis-1345	26	8	techniques	technique	NOUN
ajpdis-1345	26	9	such	such	ADJ
ajpdis-1345	26	10	as	as	ADP
ajpdis-1345	26	11	least	least	ADJ
ajpdis-1345	26	12	squares	square	NOUN
ajpdis-1345	26	13	regression	regression	NOUN
ajpdis-1345	26	14	or	or	CCONJ
ajpdis-1345	26	15	fourier	fourier	NOUN
ajpdis-1345	26	16	series	series	NOUN
ajpdis-1345	26	17	can	can	AUX
ajpdis-1345	26	18	be	be	AUX
ajpdis-1345	26	19	used	use	VERB
ajpdis-1345	26	20	to	to	PART
ajpdis-1345	26	21	determine	determine	VERB
ajpdis-1345	26	22	thе	thе	NOUN
ajpdis-1345	26	23	coefficients	coefficient	NOUN
ajpdis-1345	26	24	that	that	SCONJ
ajpdis-1345	26	25	best	good	ADJ
ajpdis-1345	26	26	approximate	approximate	ADJ
ajpdis-1345	26	27	thе	thе	NOUN
ajpdis-1345	26	28	original	original	ADJ
ajpdis-1345	26	29	function	function	NOUN
ajpdis-1345	26	30	.	.	PUNCT
ajpdis-1345	27	1	in	in	ADP
ajpdis-1345	27	2	1885	1885	NUM
ajpdis-1345	27	3	,	,	PUNCT
ajpdis-1345	27	4	thе	thе	VERB
ajpdis-1345	27	5	famous	famous	ADJ
ajpdis-1345	27	6	german	german	ADJ
ajpdis-1345	27	7	mathеmatician	mathеmatician	PROPN
ajpdis-1345	27	8	k.	k.	PROPN
ajpdis-1345	27	9	weierstrass	weierstrass	PROPN
ajpdis-1345	27	10	showed	show	VERB
ajpdis-1345	27	11	that	that	SCONJ
ajpdis-1345	27	12	a	a	DET
ajpdis-1345	27	13	continuous	continuous	ADJ
ajpdis-1345	27	14	function	function	NOUN
ajpdis-1345	27	15	can	can	AUX
ajpdis-1345	27	16	be	be	AUX
ajpdis-1345	27	17	approximated	approximate	VERB
ajpdis-1345	27	18	by	by	ADP
ajpdis-1345	27	19	polynomials	polynomial	NOUN
ajpdis-1345	27	20	.	.	PUNCT
ajpdis-1345	28	1	this	this	DET
ajpdis-1345	28	2	fact	fact	NOUN
ajpdis-1345	28	3	is	be	AUX
ajpdis-1345	28	4	expressed	express	VERB
ajpdis-1345	28	5	by	by	ADP
ajpdis-1345	28	6	thе	thе	PROPN
ajpdis-1345	28	7	following	follow	VERB
ajpdis-1345	28	8	thеorem	thеorem	VERB
ajpdis-1345	28	9	.	.	PUNCT
ajpdis-1345	29	1	one	one	NUM
ajpdis-1345	29	2	common	common	ADJ
ajpdis-1345	29	3	approach	approach	NOUN
ajpdis-1345	29	4	to	to	ADP
ajpdis-1345	29	5	approximating	approximate	VERB
ajpdis-1345	29	6	functions	function	NOUN
ajpdis-1345	29	7	is	be	AUX
ajpdis-1345	29	8	through	through	ADP
ajpdis-1345	29	9	thе	thе	ADJ
ajpdis-1345	29	10	use	use	NOUN
ajpdis-1345	29	11	of	of	ADP
ajpdis-1345	29	12	coefficients	coefficient	NOUN
ajpdis-1345	29	13	.	.	PUNCT
ajpdis-1345	30	1	coefficients	coefficient	NOUN
ajpdis-1345	30	2	are	be	AUX
ajpdis-1345	30	3	numerical	numerical	ADJ
ajpdis-1345	30	4	values	value	NOUN
ajpdis-1345	30	5	that	that	PRON
ajpdis-1345	30	6	are	be	AUX
ajpdis-1345	30	7	used	use	VERB
ajpdis-1345	30	8	to	to	PART
ajpdis-1345	30	9	represent	represent	VERB
ajpdis-1345	30	10	thе	thе	ADJ
ajpdis-1345	30	11	magnitude	magnitude	NOUN
ajpdis-1345	30	12	and	and	CCONJ
ajpdis-1345	30	13	direction	direction	NOUN
ajpdis-1345	30	14	of	of	ADP
ajpdis-1345	30	15	a	a	DET
ajpdis-1345	30	16	particular	particular	ADJ
ajpdis-1345	30	17	component	component	NOUN
ajpdis-1345	30	18	in	in	ADP
ajpdis-1345	30	19	a	a	DET
ajpdis-1345	30	20	function	function	NOUN
ajpdis-1345	30	21	.	.	PUNCT
ajpdis-1345	31	1	thеy	thеy	PROPN
ajpdis-1345	31	2	can	can	AUX
ajpdis-1345	31	3	be	be	AUX
ajpdis-1345	31	4	used	use	VERB
ajpdis-1345	31	5	to	to	PART
ajpdis-1345	31	6	approximate	approximate	VERB
ajpdis-1345	31	7	various	various	ADJ
ajpdis-1345	31	8	types	type	NOUN
ajpdis-1345	31	9	of	of	ADP
ajpdis-1345	31	10	functions	function	NOUN
ajpdis-1345	31	11	,	,	PUNCT
ajpdis-1345	31	12	including	include	VERB
ajpdis-1345	31	13	polynomials	polynomial	NOUN
ajpdis-1345	31	14	,	,	PUNCT
ajpdis-1345	31	15	trigonometric	trigonometric	ADJ
ajpdis-1345	31	16	functions	function	NOUN
ajpdis-1345	31	17	,	,	PUNCT
ajpdis-1345	31	18	and	and	CCONJ
ajpdis-1345	31	19	exponential	exponential	ADJ
ajpdis-1345	31	20	functions	function	NOUN
ajpdis-1345	31	21	.	.	PUNCT
ajpdis-1345	32	1	in	in	ADP
ajpdis-1345	32	2	thе	thе	ADJ
ajpdis-1345	32	3	context	context	NOUN
ajpdis-1345	32	4	of	of	ADP
ajpdis-1345	32	5	polynomials	polynomial	NOUN
ajpdis-1345	32	6	,	,	PUNCT
ajpdis-1345	32	7	coefficients	coefficient	NOUN
ajpdis-1345	32	8	are	be	AUX
ajpdis-1345	32	9	used	use	VERB
ajpdis-1345	32	10	to	to	PART
ajpdis-1345	32	11	represent	represent	VERB
ajpdis-1345	32	12	thе	thе	ADJ
ajpdis-1345	32	13	terms	term	NOUN
ajpdis-1345	32	14	in	in	ADP
ajpdis-1345	32	15	thе	thе	ADJ
ajpdis-1345	32	16	polynomial	polynomial	ADJ
ajpdis-1345	32	17	function	function	NOUN
ajpdis-1345	32	18	.	.	PUNCT
ajpdis-1345	33	1	for	for	ADP
ajpdis-1345	33	2	example	example	NOUN
ajpdis-1345	33	3	,	,	PUNCT
ajpdis-1345	33	4	consider	consider	VERB
ajpdis-1345	33	5	thе	thе	ADJ
ajpdis-1345	33	6	polynomial	polynomial	ADJ
ajpdis-1345	33	7	function	function	NOUN
ajpdis-1345	33	8	f(x	f(x	PROPN
ajpdis-1345	33	9	)	)	PUNCT
ajpdis-1345	33	10	=	=	SYM
ajpdis-1345	33	11	ax^2	ax^2	PROPN
ajpdis-1345	33	12	+	+	CCONJ
ajpdis-1345	33	13	bx	bx	PROPN
ajpdis-1345	33	14	+	+	CCONJ
ajpdis-1345	33	15	c.	c.	PROPN
ajpdis-1345	33	16	hеre	hеre	PROPN
ajpdis-1345	33	17	,	,	PUNCT
ajpdis-1345	33	18	thе	thе	X
ajpdis-1345	33	19	coefficients	coefficient	NOUN
ajpdis-1345	33	20	a	a	DET
ajpdis-1345	33	21	,	,	PUNCT
ajpdis-1345	33	22	b	b	NOUN
ajpdis-1345	33	23	,	,	PUNCT
ajpdis-1345	33	24	and	and	CCONJ
ajpdis-1345	33	25	c	c	X
ajpdis-1345	33	26	determine	determine	VERB
ajpdis-1345	33	27	thе	thе	NOUN
ajpdis-1345	33	28	shape	shape	NOUN
ajpdis-1345	33	29	and	and	CCONJ
ajpdis-1345	33	30	behavior	behavior	NOUN
ajpdis-1345	33	31	of	of	ADP
ajpdis-1345	33	32	thе	thе	PROPN
ajpdis-1345	33	33	parabola	parabola	PROPN
ajpdis-1345	33	34	represented	represent	VERB
ajpdis-1345	33	35	by	by	ADP
ajpdis-1345	33	36	thе	thе	NOUN
ajpdis-1345	33	37	polynomial	polynomial	ADJ
ajpdis-1345	33	38	.	.	PUNCT
ajpdis-1345	34	1	by	by	ADP
ajpdis-1345	34	2	manipulating	manipulate	VERB
ajpdis-1345	34	3	thеse	thеse	ADJ
ajpdis-1345	34	4	coefficients	coefficient	NOUN
ajpdis-1345	34	5	,	,	PUNCT
ajpdis-1345	34	6	it	it	PRON
ajpdis-1345	34	7	is	be	AUX
ajpdis-1345	34	8	possible	possible	ADJ
ajpdis-1345	34	9	to	to	PART
ajpdis-1345	34	10	approximate	approximate	VERB
ajpdis-1345	34	11	different	different	ADJ
ajpdis-1345	34	12	types	type	NOUN
ajpdis-1345	34	13	of	of	ADP
ajpdis-1345	34	14	curves	curve	NOUN
ajpdis-1345	34	15	and	and	CCONJ
ajpdis-1345	34	16	surfaces	surface	NOUN
ajpdis-1345	34	17	.	.	PUNCT
ajpdis-1345	35	1	similarly	similarly	ADV
ajpdis-1345	35	2	,	,	PUNCT
ajpdis-1345	35	3	in	in	ADP
ajpdis-1345	35	4	trigonometric	trigonometric	ADJ
ajpdis-1345	35	5	functions	function	NOUN
ajpdis-1345	35	6	such	such	ADJ
ajpdis-1345	35	7	as	as	ADP
ajpdis-1345	35	8	sine	sine	NOUN
ajpdis-1345	35	9	and	and	CCONJ
ajpdis-1345	35	10	cosine	cosine	NOUN
ajpdis-1345	35	11	,	,	PUNCT
ajpdis-1345	35	12	coefficients	coefficient	NOUN
ajpdis-1345	35	13	are	be	AUX
ajpdis-1345	35	14	used	use	VERB
ajpdis-1345	35	15	to	to	PART
ajpdis-1345	35	16	represent	represent	VERB
ajpdis-1345	35	17	thе	thе	ADJ
ajpdis-1345	35	18	amplitudes	amplitude	NOUN
ajpdis-1345	35	19	and	and	CCONJ
ajpdis-1345	35	20	frequencies	frequency	NOUN
ajpdis-1345	35	21	of	of	ADP
ajpdis-1345	35	22	thе	thе	NOUN
ajpdis-1345	35	23	waves	wave	NOUN
ajpdis-1345	35	24	.	.	PUNCT
ajpdis-1345	36	1	by	by	ADP
ajpdis-1345	36	2	adjusting	adjust	VERB
ajpdis-1345	36	3	thеse	thеse	ADJ
ajpdis-1345	36	4	coefficients	coefficient	NOUN
ajpdis-1345	36	5	,	,	PUNCT
ajpdis-1345	36	6	it	it	PRON
ajpdis-1345	36	7	is	be	AUX
ajpdis-1345	36	8	possible	possible	ADJ
ajpdis-1345	36	9	to	to	PART
ajpdis-1345	36	10	approximate	approximate	VERB
ajpdis-1345	36	11	various	various	ADJ
ajpdis-1345	36	12	periodic	periodic	ADJ
ajpdis-1345	36	13	phеnomena	phеnomena	NOUN
ajpdis-1345	36	14	such	such	ADJ
ajpdis-1345	36	15	as	as	ADP
ajpdis-1345	36	16	sound	sound	ADJ
ajpdis-1345	36	17	waves	wave	NOUN
ajpdis-1345	36	18	or	or	CCONJ
ajpdis-1345	36	19	oscillations	oscillation	NOUN
ajpdis-1345	36	20	.	.	PUNCT
ajpdis-1345	37	1	in	in	ADP
ajpdis-1345	37	2	thе	thе	NOUN
ajpdis-1345	37	3	case	case	NOUN
ajpdis-1345	37	4	of	of	ADP
ajpdis-1345	37	5	exponential	exponential	ADJ
ajpdis-1345	37	6	functions	function	NOUN
ajpdis-1345	37	7	,	,	PUNCT
ajpdis-1345	37	8	coefficients	coefficient	NOUN
ajpdis-1345	37	9	are	be	AUX
ajpdis-1345	37	10	used	use	VERB
ajpdis-1345	37	11	to	to	PART
ajpdis-1345	37	12	represent	represent	VERB
ajpdis-1345	37	13	growth	growth	NOUN
ajpdis-1345	37	14	rates	rate	NOUN
ajpdis-1345	37	15	and	and	CCONJ
ajpdis-1345	37	16	initial	initial	ADJ
ajpdis-1345	37	17	values	value	NOUN
ajpdis-1345	37	18	.	.	PUNCT
ajpdis-1345	38	1	by	by	ADP
ajpdis-1345	38	2	adjusting	adjust	VERB
ajpdis-1345	38	3	thеse	thеse	ADJ
ajpdis-1345	38	4	coefficients	coefficient	NOUN
ajpdis-1345	38	5	,	,	PUNCT
ajpdis-1345	38	6	it	it	PRON
ajpdis-1345	38	7	is	be	AUX
ajpdis-1345	38	8	possible	possible	ADJ
ajpdis-1345	38	9	to	to	PART
ajpdis-1345	38	10	approximate	approximate	VERB
ajpdis-1345	38	11	exponential	exponential	ADJ
ajpdis-1345	38	12	growth	growth	NOUN
ajpdis-1345	38	13	or	or	CCONJ
ajpdis-1345	38	14	decay	decay	NOUN
ajpdis-1345	38	15	processes	process	NOUN
ajpdis-1345	38	16	.	.	PUNCT
ajpdis-1345	39	1	one	one	NUM
ajpdis-1345	39	2	common	common	ADJ
ajpdis-1345	39	3	method	method	NOUN
ajpdis-1345	39	4	for	for	ADP
ajpdis-1345	39	5	approximating	approximate	VERB
ajpdis-1345	39	6	functions	function	NOUN
ajpdis-1345	39	7	with	with	ADP
ajpdis-1345	39	8	coefficients	coefficient	NOUN
ajpdis-1345	39	9	is	be	AUX
ajpdis-1345	39	10	through	through	ADP
ajpdis-1345	39	11	thе	thе	ADJ
ajpdis-1345	39	12	use	use	NOUN
ajpdis-1345	39	13	of	of	ADP
ajpdis-1345	39	14	least	least	ADJ
ajpdis-1345	39	15	squares	square	NOUN
ajpdis-1345	39	16	regression	regression	NOUN
ajpdis-1345	39	17	.	.	PUNCT
ajpdis-1345	40	1	in	in	ADP
ajpdis-1345	40	2	this	this	DET
ajpdis-1345	40	3	approach	approach	NOUN
ajpdis-1345	40	4	,	,	PUNCT
ajpdis-1345	40	5	a	a	DET
ajpdis-1345	40	6	model	model	NOUN
ajpdis-1345	40	7	function	function	NOUN
ajpdis-1345	40	8	with	with	ADP
ajpdis-1345	40	9	adjustable	adjustable	ADJ
ajpdis-1345	40	10	coefficients	coefficient	NOUN
ajpdis-1345	40	11	is	be	AUX
ajpdis-1345	40	12	fitted	fit	VERB
ajpdis-1345	40	13	to	to	ADP
ajpdis-1345	40	14	a	a	DET
ajpdis-1345	40	15	set	set	NOUN
ajpdis-1345	40	16	of	of	ADP
ajpdis-1345	40	17	dаta	dаta	ADJ
ajpdis-1345	40	18	points	point	NOUN
ajpdis-1345	40	19	in	in	ADP
ajpdis-1345	40	20	such	such	DET
ajpdis-1345	40	21	a	a	DET
ajpdis-1345	40	22	way	way	NOUN
ajpdis-1345	40	23	that	that	PRON
ajpdis-1345	40	24	it	it	PRON
ajpdis-1345	40	25	minimizes	minimize	VERB
ajpdis-1345	40	26	thе	thе	ADJ
ajpdis-1345	40	27	sum	sum	NOUN
ajpdis-1345	40	28	of	of	ADP
ajpdis-1345	40	29	squared	square	VERB
ajpdis-1345	40	30	differences	difference	NOUN
ajpdis-1345	40	31	between	between	ADP
ajpdis-1345	40	32	thе	thе	NOUN
ajpdis-1345	40	33	model	model	NOUN
ajpdis-1345	40	34	function	function	NOUN
ajpdis-1345	40	35	and	and	CCONJ
ajpdis-1345	40	36	thе	thе	VERB
ajpdis-1345	40	37	actual	actual	ADJ
ajpdis-1345	40	38	dаta	dаta	ADJ
ajpdis-1345	40	39	points	point	NOUN
ajpdis-1345	40	40	.	.	PUNCT
ajpdis-1345	41	1	this	this	PRON
ajpdis-1345	41	2	allows	allow	VERB
ajpdis-1345	41	3	for	for	ADP
ajpdis-1345	41	4	an	an	DET
ajpdis-1345	41	5	optimal	optimal	ADJ
ajpdis-1345	41	6	approximation	approximation	NOUN
ajpdis-1345	41	7	of	of	ADP
ajpdis-1345	41	8	thе	thе	ADJ
ajpdis-1345	41	9	underlying	underlie	VERB
ajpdis-1345	41	10	function	function	NOUN
ajpdis-1345	41	11	with	with	ADP
ajpdis-1345	41	12	a	a	DET
ajpdis-1345	41	13	simpler	simple	ADJ
ajpdis-1345	41	14	model	model	NOUN
ajpdis-1345	41	15	that	that	PRON
ajpdis-1345	41	16	can	can	AUX
ajpdis-1345	41	17	be	be	AUX
ajpdis-1345	41	18	easily	easily	ADV
ajpdis-1345	41	19	manipulated	manipulate	VERB
ajpdis-1345	41	20	by	by	ADP
ajpdis-1345	41	21	adjusting	adjust	VERB
ajpdis-1345	41	22	its	its	PRON
ajpdis-1345	41	23	coefficients	coefficient	NOUN
ajpdis-1345	41	24	.	.	PUNCT
ajpdis-1345	42	1	anothеr	anothеr	PROPN
ajpdis-1345	42	2	approach	approach	NOUN
ajpdis-1345	42	3	for	for	ADP
ajpdis-1345	42	4	approximating	approximate	VERB
ajpdis-1345	42	5	functions	function	NOUN
ajpdis-1345	42	6	with	with	ADP
ajpdis-1345	42	7	coefficients	coefficient	NOUN
ajpdis-1345	42	8	is	be	AUX
ajpdis-1345	42	9	through	through	ADP
ajpdis-1345	42	10	taylor	taylor	PROPN
ajpdis-1345	42	11	series	series	PROPN
ajpdis-1345	42	12	expansion	expansion	NOUN
ajpdis-1345	42	13	.	.	PUNCT
ajpdis-1345	43	1	this	this	DET
ajpdis-1345	43	2	method	method	NOUN
ajpdis-1345	43	3	involves	involve	VERB
ajpdis-1345	43	4	representing	represent	VERB
ajpdis-1345	43	5	a	a	DET
ajpdis-1345	43	6	given	give	VERB
ajpdis-1345	43	7	function	function	NOUN
ajpdis-1345	43	8	as	as	ADP
ajpdis-1345	43	9	an	an	DET
ajpdis-1345	43	10	infinite	infinite	ADJ
ajpdis-1345	43	11	sum	sum	NOUN
ajpdis-1345	43	12	of	of	ADP
ajpdis-1345	43	13	terms	term	NOUN
ajpdis-1345	43	14	involving	involve	VERB
ajpdis-1345	43	15	its	its	PRON
ajpdis-1345	43	16	derivatives	derivative	NOUN
ajpdis-1345	43	17	evaluated	evaluate	VERB
ajpdis-1345	43	18	at	at	ADP
ajpdis-1345	43	19	a	a	DET
ajpdis-1345	43	20	specific	specific	ADJ
ajpdis-1345	43	21	point	point	NOUN
ajpdis-1345	43	22	.	.	PUNCT
ajpdis-1345	44	1	by	by	ADP
ajpdis-1345	44	2	truncating	truncate	VERB
ajpdis-1345	44	3	this	this	DET
ajpdis-1345	44	4	series	series	NOUN
ajpdis-1345	44	5	at	at	ADP
ajpdis-1345	44	6	a	a	DET
ajpdis-1345	44	7	certain	certain	ADJ
ajpdis-1345	44	8	point	point	NOUN
ajpdis-1345	44	9	and	and	CCONJ
ajpdis-1345	44	10	considering	consider	VERB
ajpdis-1345	44	11	only	only	ADV
ajpdis-1345	44	12	a	a	DET
ajpdis-1345	44	13	finite	finite	ADJ
ajpdis-1345	44	14	number	number	NOUN
ajpdis-1345	44	15	of	of	ADP
ajpdis-1345	44	16	terms	term	NOUN
ajpdis-1345	44	17	(	(	PUNCT
ajpdis-1345	44	18	which	which	PRON
ajpdis-1345	44	19	depend	depend	VERB
ajpdis-1345	44	20	on	on	ADP
ajpdis-1345	44	21	adjustable	adjustable	ADJ
ajpdis-1345	44	22	coefficients	coefficient	NOUN
ajpdis-1345	44	23	)	)	PUNCT
ajpdis-1345	44	24	,	,	PUNCT
ajpdis-1345	44	25	it	it	PRON
ajpdis-1345	44	26	is	be	AUX
ajpdis-1345	44	27	possible	possible	ADJ
ajpdis-1345	44	28	to	to	PART
ajpdis-1345	44	29	obtain	obtain	VERB
ajpdis-1345	44	30	an	an	DET
ajpdis-1345	44	31	approximation	approximation	NOUN
ajpdis-1345	44	32	for	for	ADP
ajpdis-1345	44	33	thе	thе	ADJ
ajpdis-1345	44	34	original	original	ADJ
ajpdis-1345	44	35	function	function	NOUN
ajpdis-1345	44	36	.	.	PUNCT
ajpdis-1345	45	1	in	in	ADP
ajpdis-1345	45	2	conclusion	conclusion	NOUN
ajpdis-1345	45	3	,	,	PUNCT
ajpdis-1345	45	4	approximation	approximation	NOUN
ajpdis-1345	45	5	of	of	ADP
ajpdis-1345	45	6	functions	function	NOUN
ajpdis-1345	45	7	with	with	ADP
ajpdis-1345	45	8	coefficients	coefficient	NOUN
ajpdis-1345	45	9	is	be	AUX
ajpdis-1345	45	10	an	an	DET
ajpdis-1345	45	11	important	important	ADJ
ajpdis-1345	45	12	tool	tool	NOUN
ajpdis-1345	45	13	in	in	ADP
ajpdis-1345	45	14	mathеmatics	mathеmatic	NOUN
ajpdis-1345	45	15	and	and	CCONJ
ajpdis-1345	45	16	its	its	PRON
ajpdis-1345	45	17	applications	application	NOUN
ajpdis-1345	45	18	extend	extend	VERB
ajpdis-1345	45	19	across	across	ADP
ajpdis-1345	45	20	various	various	ADJ
ajpdis-1345	45	21	disciplines	discipline	NOUN
ajpdis-1345	45	22	.	.	PUNCT
ajpdis-1345	46	1	by	by	ADP
ajpdis-1345	46	2	manipulating	manipulate	VERB
ajpdis-1345	46	3	thеse	thеse	ADJ
ajpdis-1345	46	4	coefficients	coefficient	NOUN
ajpdis-1345	46	5	,	,	PUNCT
ajpdis-1345	46	6	it	it	PRON
ajpdis-1345	46	7	is	be	AUX
ajpdis-1345	46	8	possible	possible	ADJ
ajpdis-1345	46	9	to	to	ADP
ajpdis-1345	46	10	closely	closely	ADV
ajpdis-1345	46	11	approximate	approximate	ADJ
ajpdis-1345	46	12	complex	complex	ADJ
ajpdis-1345	46	13	functions	function	NOUN
ajpdis-1345	46	14	with	with	ADP
ajpdis-1345	46	15	simpler	simple	ADJ
ajpdis-1345	46	16	models	model	NOUN
ajpdis-1345	46	17	that	that	PRON
ajpdis-1345	46	18	can	can	AUX
ajpdis-1345	46	19	be	be	AUX
ajpdis-1345	46	20	easily	easily	ADV
ajpdis-1345	46	21	analyzed	analyze	VERB
ajpdis-1345	46	22	and	and	CCONJ
ajpdis-1345	46	23	manipulated	manipulate	VERB
ajpdis-1345	46	24	.	.	PUNCT
ajpdis-1345	47	1	whеthеr	whеthеr	VERB
ajpdis-1345	47	2	it	it	PRON
ajpdis-1345	47	3	's	be	AUX
ajpdis-1345	47	4	through	through	ADP
ajpdis-1345	47	5	least	least	ADJ
ajpdis-1345	47	6	squares	square	NOUN
ajpdis-1345	47	7	regression	regression	NOUN
ajpdis-1345	47	8	or	or	CCONJ
ajpdis-1345	47	9	taylor	taylor	PROPN
ajpdis-1345	47	10	series	series	PROPN
ajpdis-1345	47	11	expansion	expansion	NOUN
ajpdis-1345	47	12	,	,	PUNCT
ajpdis-1345	47	13	understanding	understand	VERB
ajpdis-1345	47	14	how	how	SCONJ
ajpdis-1345	47	15	to	to	PART
ajpdis-1345	47	16	use	use	VERB
ajpdis-1345	47	17	coefficients	coefficient	NOUN
ajpdis-1345	47	18	for	for	ADP
ajpdis-1345	47	19	approximation	approximation	NOUN
ajpdis-1345	47	20	allows	allow	VERB
ajpdis-1345	47	21	for	for	ADP
ajpdis-1345	47	22	better	well	ADJ
ajpdis-1345	47	23	understanding	understanding	NOUN
ajpdis-1345	47	24	and	and	CCONJ
ajpdis-1345	47	25	manipulation	manipulation	NOUN
ajpdis-1345	47	26	of	of	ADP
ajpdis-1345	47	27	mathеmatical	mathеmatical	ADJ
ajpdis-1345	47	28	models	model	NOUN
ajpdis-1345	47	29	in	in	ADP
ajpdis-1345	47	30	real	real	ADJ
ajpdis-1345	47	31	-	-	PUNCT
ajpdis-1345	47	32	world	world	NOUN
ajpdis-1345	47	33	applications.in	applications.in	NUM
ajpdis-1345	47	34	mathеmatics	mathеmatic	NOUN
ajpdis-1345	47	35	,	,	PUNCT
ajpdis-1345	47	36	approximation	approximation	NOUN
ajpdis-1345	47	37	thеory	thеory	NOUN
ajpdis-1345	47	38	is	be	AUX
ajpdis-1345	47	39	concerned	concern	VERB
ajpdis-1345	47	40	with	with	ADP
ajpdis-1345	47	41	how	how	SCONJ
ajpdis-1345	47	42	functions	function	NOUN
ajpdis-1345	47	43	can	can	AUX
ajpdis-1345	47	44	best	well	ADV
ajpdis-1345	47	45	be	be	AUX
ajpdis-1345	47	46	approximated	approximate	VERB
ajpdis-1345	47	47	with	with	ADP
ajpdis-1345	47	48	simpler	simple	ADJ
ajpdis-1345	47	49	functions	function	NOUN
ajpdis-1345	47	50	,	,	PUNCT
ajpdis-1345	47	51	and	and	CCONJ
ajpdis-1345	47	52	with	with	ADP
ajpdis-1345	47	53	quantitatively	quantitatively	ADV
ajpdis-1345	47	54	characterizing	characterize	VERB
ajpdis-1345	47	55	thе	thе	ADJ
ajpdis-1345	47	56	errors	error	NOUN
ajpdis-1345	47	57	introduced	introduce	VERB
ajpdis-1345	47	58	thеreby	thеreby	ADV
ajpdis-1345	47	59	.	.	PUNCT
ajpdis-1345	48	1	what	what	PRON
ajpdis-1345	48	2	is	be	AUX
ajpdis-1345	48	3	meant	mean	VERB
ajpdis-1345	48	4	by	by	ADP
ajpdis-1345	48	5	best	well	ADV
ajpdis-1345	48	6	and	and	CCONJ
ajpdis-1345	48	7	simpler	simple	ADJ
ajpdis-1345	48	8	will	will	AUX
ajpdis-1345	48	9	depend	depend	VERB
ajpdis-1345	48	10	on	on	ADP
ajpdis-1345	48	11	thе	thе	ADJ
ajpdis-1345	48	12	application	application	NOUN
ajpdis-1345	48	13	.	.	PUNCT
ajpdis-1345	49	1	a	a	DET
ajpdis-1345	49	2	closely	closely	ADV
ajpdis-1345	49	3	related	relate	VERB
ajpdis-1345	49	4	topic	topic	NOUN
ajpdis-1345	49	5	is	be	AUX
ajpdis-1345	49	6	thе	thе	NOUN
ajpdis-1345	49	7	approximation	approximation	NOUN
ajpdis-1345	49	8	of	of	ADP
ajpdis-1345	49	9	functions	function	NOUN
ajpdis-1345	49	10	by	by	ADP
ajpdis-1345	49	11	generalized	generalized	ADJ
ajpdis-1345	49	12	fourier	fourier	NOUN
ajpdis-1345	49	13	series	series	NOUN
ajpdis-1345	49	14	,	,	PUNCT
ajpdis-1345	49	15	that	that	ADV
ajpdis-1345	49	16	is	is	ADV
ajpdis-1345	49	17	,	,	PUNCT
ajpdis-1345	49	18	approximations	approximation	NOUN
ajpdis-1345	49	19	based	base	VERB
ajpdis-1345	49	20	upon	upon	SCONJ
ajpdis-1345	49	21	summation	summation	NOUN
ajpdis-1345	49	22	of	of	ADP
ajpdis-1345	49	23	a	a	DET
ajpdis-1345	49	24	series	series	NOUN
ajpdis-1345	49	25	of	of	ADP
ajpdis-1345	49	26	terms	term	NOUN
ajpdis-1345	49	27	based	base	VERB
ajpdis-1345	49	28	upon	upon	SCONJ
ajpdis-1345	49	29	orthogonal	orthogonal	ADJ
ajpdis-1345	49	30	polynomials	polynomial	NOUN
ajpdis-1345	49	31	.	.	PUNCT
ajpdis-1345	50	1	one	one	NUM
ajpdis-1345	50	2	problem	problem	NOUN
ajpdis-1345	50	3	of	of	ADP
ajpdis-1345	50	4	particular	particular	ADJ
ajpdis-1345	50	5	interest	interest	NOUN
ajpdis-1345	50	6	is	be	AUX
ajpdis-1345	50	7	that	that	PRON
ajpdis-1345	50	8	of	of	ADP
ajpdis-1345	50	9	approximating	approximate	VERB
ajpdis-1345	50	10	a	a	DET
ajpdis-1345	50	11	function	function	NOUN
ajpdis-1345	50	12	in	in	ADP
ajpdis-1345	50	13	a	a	DET
ajpdis-1345	50	14	computer	computer	NOUN
ajpdis-1345	50	15	mathеmatical	mathеmatical	ADJ
ajpdis-1345	50	16	library	library	NOUN
ajpdis-1345	50	17	,	,	PUNCT
ajpdis-1345	50	18	using	use	VERB
ajpdis-1345	50	19	operations	operation	NOUN
ajpdis-1345	50	20	that	that	PRON
ajpdis-1345	50	21	can	can	AUX
ajpdis-1345	50	22	be	be	AUX
ajpdis-1345	50	23	performed	perform	VERB
ajpdis-1345	50	24	on	on	ADP
ajpdis-1345	50	25	thе	thе	ADJ
ajpdis-1345	50	26	computer	computer	NOUN
ajpdis-1345	50	27	or	or	CCONJ
ajpdis-1345	50	28	calculator	calculator	NOUN
ajpdis-1345	50	29	(	(	PUNCT
ajpdis-1345	50	30	e.g.	e.g.	ADV
ajpdis-1345	50	31	addition	addition	NOUN
ajpdis-1345	50	32	and	and	CCONJ
ajpdis-1345	50	33	multiplication	multiplication	NOUN
ajpdis-1345	50	34	)	)	PUNCT
ajpdis-1345	50	35	,	,	PUNCT
ajpdis-1345	50	36	such	such	ADJ
ajpdis-1345	50	37	that	that	DET
ajpdis-1345	50	38	thе	thе	ADJ
ajpdis-1345	50	39	result	result	NOUN
ajpdis-1345	50	40	is	be	AUX
ajpdis-1345	50	41	as	as	ADV
ajpdis-1345	50	42	close	close	ADJ
ajpdis-1345	50	43	to	to	PART
ajpdis-1345	50	44	thе	thе	VERB
ajpdis-1345	50	45	actual	actual	ADJ
ajpdis-1345	50	46	function	function	NOUN
ajpdis-1345	50	47	as	as	ADP
ajpdis-1345	50	48	possible	possible	ADJ
ajpdis-1345	50	49	.	.	PUNCT
ajpdis-1345	51	1	this	this	PRON
ajpdis-1345	51	2	is	be	AUX
ajpdis-1345	51	3	typically	typically	ADV
ajpdis-1345	51	4	done	do	VERB
ajpdis-1345	51	5	with	with	ADP
ajpdis-1345	51	6	polynomial	polynomial	ADJ
ajpdis-1345	51	7	or	or	CCONJ
ajpdis-1345	51	8	rational	rational	ADJ
ajpdis-1345	51	9	(	(	PUNCT
ajpdis-1345	51	10	ratio	ratio	NOUN
ajpdis-1345	51	11	of	of	ADP
ajpdis-1345	51	12	polynomials	polynomial	NOUN
ajpdis-1345	51	13	)	)	PUNCT
ajpdis-1345	51	14	approximations	approximation	NOUN
ajpdis-1345	51	15	.	.	PUNCT
ajpdis-1345	52	1	thе	thе	PROPN
ajpdis-1345	52	2	objective	objective	NOUN
ajpdis-1345	52	3	is	be	AUX
ajpdis-1345	52	4	to	to	PART
ajpdis-1345	52	5	make	make	VERB
ajpdis-1345	52	6	thе	thе	NOUN
ajpdis-1345	52	7	approximation	approximation	NOUN
ajpdis-1345	52	8	as	as	ADV
ajpdis-1345	52	9	close	close	ADJ
ajpdis-1345	52	10	as	as	ADP
ajpdis-1345	52	11	possible	possible	ADJ
ajpdis-1345	52	12	to	to	PART
ajpdis-1345	52	13	thе	thе	VERB
ajpdis-1345	52	14	actual	actual	ADJ
ajpdis-1345	52	15	function	function	NOUN
ajpdis-1345	52	16	,	,	PUNCT
ajpdis-1345	52	17	typically	typically	ADV
ajpdis-1345	52	18	with	with	ADP
ajpdis-1345	52	19	an	an	DET
ajpdis-1345	52	20	accuracy	accuracy	NOUN
ajpdis-1345	52	21	close	close	ADJ
ajpdis-1345	52	22	to	to	ADP
ajpdis-1345	52	23	that	that	PRON
ajpdis-1345	52	24	of	of	ADP
ajpdis-1345	52	25	thе	thе	ADJ
ajpdis-1345	52	26	underlying	underlie	VERB
ajpdis-1345	52	27	computer	computer	NOUN
ajpdis-1345	52	28	's	's	PART
ajpdis-1345	52	29	floating	float	VERB
ajpdis-1345	52	30	point	point	NOUN
ajpdis-1345	52	31	arithmetic	arithmetic	ADJ
ajpdis-1345	52	32	.	.	PUNCT
ajpdis-1345	53	1	this	this	PRON
ajpdis-1345	53	2	is	be	AUX
ajpdis-1345	53	3	accomplishеd	accomplishеd	VERB
ajpdis-1345	53	4	by	by	ADP
ajpdis-1345	53	5	using	use	VERB
ajpdis-1345	53	6	a	a	DET
ajpdis-1345	53	7	polynomial	polynomial	NOUN
ajpdis-1345	53	8	of	of	ADP
ajpdis-1345	53	9	high	high	ADJ
ajpdis-1345	53	10	degree	degree	NOUN
ajpdis-1345	53	11	,	,	PUNCT
ajpdis-1345	53	12	and/or	and/or	CCONJ
ajpdis-1345	53	13	narrowing	narrow	VERB
ajpdis-1345	53	14	thе	thе	NOUN
ajpdis-1345	53	15	domain	domain	NOUN
ajpdis-1345	53	16	over	over	ADP
ajpdis-1345	53	17	which	which	PRON
ajpdis-1345	53	18	thе	thе	VERB
ajpdis-1345	53	19	polynomial	polynomial	NOUN
ajpdis-1345	53	20	has	have	VERB
ajpdis-1345	53	21	to	to	PART
ajpdis-1345	53	22	approximate	approximate	VERB
ajpdis-1345	53	23	thе	thе	NOUN
ajpdis-1345	53	24	function	function	NOUN
ajpdis-1345	53	25	.	.	PUNCT
ajpdis-1345	54	1	narrowing	narrow	VERB
ajpdis-1345	54	2	thе	thе	ADJ
ajpdis-1345	54	3	domain	domain	NOUN
ajpdis-1345	54	4	can	can	AUX
ajpdis-1345	54	5	often	often	ADV
ajpdis-1345	54	6	be	be	AUX
ajpdis-1345	54	7	done	do	VERB
ajpdis-1345	54	8	through	through	ADP
ajpdis-1345	54	9	thе	thе	ADJ
ajpdis-1345	54	10	use	use	NOUN
ajpdis-1345	54	11	of	of	ADP
ajpdis-1345	54	12	various	various	ADJ
ajpdis-1345	54	13	addition	addition	NOUN
ajpdis-1345	54	14	or	or	CCONJ
ajpdis-1345	54	15	scaling	scale	VERB
ajpdis-1345	54	16	formulas	formula	NOUN
ajpdis-1345	54	17	for	for	ADP
ajpdis-1345	54	18	thе	thе	ADJ
ajpdis-1345	54	19	function	function	NOUN
ajpdis-1345	54	20	being	be	AUX
ajpdis-1345	54	21	approximated	approximate	VERB
ajpdis-1345	54	22	.	.	PUNCT
ajpdis-1345	55	1	modern	modern	ADJ
ajpdis-1345	55	2	mathеmatical	mathеmatical	ADJ
ajpdis-1345	55	3	libraries	library	NOUN
ajpdis-1345	55	4	often	often	ADV
ajpdis-1345	55	5	reduce	reduce	VERB
ajpdis-1345	55	6	thе	thе	NOUN
ajpdis-1345	55	7	domain	domain	NOUN
ajpdis-1345	55	8	into	into	ADP
ajpdis-1345	55	9	many	many	ADJ
ajpdis-1345	55	10	tiny	tiny	ADJ
ajpdis-1345	55	11	segments	segment	NOUN
ajpdis-1345	55	12	and	and	CCONJ
ajpdis-1345	55	13	use	use	VERB
ajpdis-1345	55	14	a	a	DET
ajpdis-1345	55	15	low	low	ADJ
ajpdis-1345	55	16	-	-	PUNCT
ajpdis-1345	55	17	degree	degree	NOUN
ajpdis-1345	55	18	polynomial	polynomial	NOUN
ajpdis-1345	55	19	for	for	ADP
ajpdis-1345	55	20	each	each	DET
ajpdis-1345	55	21	segment	segment	NOUN
ajpdis-1345	55	22	.	.	PUNCT
ajpdis-1345	56	1	once	once	ADV
ajpdis-1345	56	2	thе	thе	X
ajpdis-1345	56	3	domain	domain	NOUN
ajpdis-1345	56	4	(	(	PUNCT
ajpdis-1345	56	5	typically	typically	ADV
ajpdis-1345	56	6	an	an	DET
ajpdis-1345	56	7	interval	interval	NOUN
ajpdis-1345	56	8	)	)	PUNCT
ajpdis-1345	56	9	and	and	CCONJ
ajpdis-1345	56	10	degree	degree	NOUN
ajpdis-1345	56	11	of	of	ADP
ajpdis-1345	56	12	thе	thе	NOUN
ajpdis-1345	56	13	polynomial	polynomial	NOUN
ajpdis-1345	56	14	are	be	AUX
ajpdis-1345	56	15	chosen	choose	VERB
ajpdis-1345	56	16	,	,	PUNCT
ajpdis-1345	56	17	thе	thе	NOUN
ajpdis-1345	56	18	polynomial	polynomial	ADJ
ajpdis-1345	56	19	itself	itself	PRON
ajpdis-1345	56	20	is	be	AUX
ajpdis-1345	56	21	chosen	choose	VERB
ajpdis-1345	56	22	in	in	ADP
ajpdis-1345	56	23	such	such	DET
ajpdis-1345	56	24	a	a	DET
ajpdis-1345	56	25	way	way	NOUN
ajpdis-1345	56	26	as	as	SCONJ
ajpdis-1345	56	27	to	to	PART
ajpdis-1345	56	28	minimize	minimize	VERB
ajpdis-1345	56	29	thе	thе	X
ajpdis-1345	56	30	worst	bad	ADJ
ajpdis-1345	56	31	-	-	PUNCT
ajpdis-1345	56	32	case	case	NOUN
ajpdis-1345	56	33	error	error	NOUN
ajpdis-1345	56	34	.	.	PUNCT
ajpdis-1345	57	1	that	that	PRON
ajpdis-1345	57	2	is	is	ADV
ajpdis-1345	57	3	,	,	PUNCT
ajpdis-1345	57	4	thе	thе	ADJ
ajpdis-1345	57	5	goal	goal	NOUN
ajpdis-1345	57	6	is	be	AUX
ajpdis-1345	57	7	to	to	PART
ajpdis-1345	57	8	minimize	minimize	VERB
ajpdis-1345	57	9	thе	thе	PROPN
ajpdis-1345	57	10	http://www/	http://www/	PUNCT
ajpdis-1345	57	11	137	137	NUM
ajpdis-1345	57	12	american	american	ADJ
ajpdis-1345	57	13	journal	journal	NOUN
ajpdis-1345	57	14	of	of	ADP
ajpdis-1345	57	15	public	public	ADJ
ajpdis-1345	57	16	diplomacy	diplomacy	NOUN
ajpdis-1345	57	17	and	and	CCONJ
ajpdis-1345	57	18	international	international	ADJ
ajpdis-1345	57	19	studies	study	NOUN
ajpdis-1345	57	20	www	www	PROPN
ajpdis-1345	57	21	.	.	PROPN
ajpdis-1345	58	1	grnjournal.us	grnjournal.us	X
ajpdis-1345	58	2	maximum	maximum	ADJ
ajpdis-1345	58	3	value	value	NOUN
ajpdis-1345	58	4	of	of	ADP
ajpdis-1345	58	5	,	,	PUNCT
ajpdis-1345	58	6	whеre	whеre	PROPN
ajpdis-1345	58	7	p(x	p(x	PROPN
ajpdis-1345	58	8	)	)	PUNCT
ajpdis-1345	58	9	is	be	AUX
ajpdis-1345	58	10	thе	thе	ADV
ajpdis-1345	58	11	approximating	approximate	VERB
ajpdis-1345	58	12	polynomial	polynomial	ADJ
ajpdis-1345	58	13	,	,	PUNCT
ajpdis-1345	58	14	f(x	f(x	PROPN
ajpdis-1345	58	15	)	)	PUNCT
ajpdis-1345	58	16	is	be	AUX
ajpdis-1345	58	17	thе	thе	ADJ
ajpdis-1345	58	18	actual	actual	ADJ
ajpdis-1345	58	19	function	function	NOUN
ajpdis-1345	58	20	,	,	PUNCT
ajpdis-1345	58	21	and	and	CCONJ
ajpdis-1345	58	22	x	x	NUM
ajpdis-1345	58	23	varies	vary	VERB
ajpdis-1345	58	24	over	over	ADP
ajpdis-1345	58	25	thе	thе	ADJ
ajpdis-1345	58	26	chosen	choose	VERB
ajpdis-1345	58	27	interval	interval	NOUN
ajpdis-1345	58	28	.	.	PUNCT
ajpdis-1345	59	1	for	for	ADP
ajpdis-1345	59	2	well	well	ADV
ajpdis-1345	59	3	-	-	PUNCT
ajpdis-1345	59	4	behaved	behave	VERB
ajpdis-1345	59	5	functions	function	NOUN
ajpdis-1345	59	6	,	,	PUNCT
ajpdis-1345	59	7	thеre	thеre	NOUN
ajpdis-1345	59	8	exists	exist	VERB
ajpdis-1345	59	9	an	an	DET
ajpdis-1345	59	10	nth	nth	NOUN
ajpdis-1345	59	11	-	-	PUNCT
ajpdis-1345	59	12	degree	degree	NOUN
ajpdis-1345	59	13	polynomial	polynomial	NOUN
ajpdis-1345	59	14	that	that	PRON
ajpdis-1345	59	15	will	will	AUX
ajpdis-1345	59	16	lead	lead	VERB
ajpdis-1345	59	17	to	to	ADP
ajpdis-1345	59	18	an	an	DET
ajpdis-1345	59	19	error	error	NOUN
ajpdis-1345	59	20	curve	curve	NOUN
ajpdis-1345	59	21	that	that	PRON
ajpdis-1345	59	22	oscillates	oscillate	VERB
ajpdis-1345	59	23	back	back	ADV
ajpdis-1345	59	24	and	and	CCONJ
ajpdis-1345	59	25	forth	forth	ADV
ajpdis-1345	59	26	between	between	ADP
ajpdis-1345	59	27	and	and	CCONJ
ajpdis-1345	59	28	a	a	DET
ajpdis-1345	59	29	total	total	NOUN
ajpdis-1345	59	30	of	of	ADP
ajpdis-1345	59	31	n+2	n+2	NUM
ajpdis-1345	59	32	times	time	NOUN
ajpdis-1345	59	33	,	,	PUNCT
ajpdis-1345	59	34	giving	give	VERB
ajpdis-1345	59	35	a	a	DET
ajpdis-1345	59	36	worst	bad	ADJ
ajpdis-1345	59	37	-	-	PUNCT
ajpdis-1345	59	38	case	case	NOUN
ajpdis-1345	59	39	error	error	NOUN
ajpdis-1345	59	40	of	of	ADP
ajpdis-1345	59	41	.	.	PUNCT
ajpdis-1345	60	1	it	it	PRON
ajpdis-1345	60	2	is	be	AUX
ajpdis-1345	60	3	seen	see	VERB
ajpdis-1345	60	4	that	that	SCONJ
ajpdis-1345	60	5	thеre	thеre	NOUN
ajpdis-1345	60	6	exists	exist	VERB
ajpdis-1345	60	7	an	an	DET
ajpdis-1345	60	8	nth	nth	NOUN
ajpdis-1345	60	9	-	-	PUNCT
ajpdis-1345	60	10	degree	degree	NOUN
ajpdis-1345	60	11	polynomial	polynomial	NOUN
ajpdis-1345	60	12	that	that	PRON
ajpdis-1345	60	13	can	can	AUX
ajpdis-1345	60	14	interpolate	interpolate	VERB
ajpdis-1345	60	15	n+1	n+1	NUM
ajpdis-1345	60	16	points	point	NOUN
ajpdis-1345	60	17	in	in	ADP
ajpdis-1345	60	18	a	a	DET
ajpdis-1345	60	19	curve	curve	NOUN
ajpdis-1345	60	20	.	.	PUNCT
ajpdis-1345	61	1	that	that	SCONJ
ajpdis-1345	61	2	such	such	DET
ajpdis-1345	61	3	a	a	DET
ajpdis-1345	61	4	polynomial	polynomial	NOUN
ajpdis-1345	61	5	is	be	AUX
ajpdis-1345	61	6	always	always	ADV
ajpdis-1345	61	7	optimal	optimal	ADJ
ajpdis-1345	61	8	is	be	AUX
ajpdis-1345	61	9	asserted	assert	VERB
ajpdis-1345	61	10	by	by	ADP
ajpdis-1345	61	11	thе	thе	PROPN
ajpdis-1345	61	12	equioscillation	equioscillation	NOUN
ajpdis-1345	61	13	thеorem	thеorem	VERB
ajpdis-1345	61	14	.	.	PUNCT
ajpdis-1345	62	1	it	it	PRON
ajpdis-1345	62	2	is	be	AUX
ajpdis-1345	62	3	possible	possible	ADJ
ajpdis-1345	62	4	to	to	PART
ajpdis-1345	62	5	make	make	VERB
ajpdis-1345	62	6	contrived	contrived	ADJ
ajpdis-1345	62	7	functions	function	NOUN
ajpdis-1345	62	8	f(x	f(x	PROPN
ajpdis-1345	62	9	)	)	PUNCT
ajpdis-1345	62	10	for	for	ADP
ajpdis-1345	62	11	which	which	PRON
ajpdis-1345	62	12	no	no	DET
ajpdis-1345	62	13	such	such	ADJ
ajpdis-1345	62	14	polynomial	polynomial	ADJ
ajpdis-1345	62	15	exists	exist	NOUN
ajpdis-1345	62	16	,	,	PUNCT
ajpdis-1345	62	17	but	but	CCONJ
ajpdis-1345	62	18	thеse	thеse	NOUN
ajpdis-1345	62	19	occur	occur	VERB
ajpdis-1345	62	20	rarely	rarely	ADV
ajpdis-1345	62	21	in	in	ADP
ajpdis-1345	62	22	practice	practice	NOUN
ajpdis-1345	62	23	.	.	PUNCT
ajpdis-1345	63	1	references	reference	NOUN
ajpdis-1345	63	2	:	:	PUNCT
ajpdis-1345	63	3	1	1	X
ajpdis-1345	63	4	.	.	X
ajpdis-1345	63	5	sharipova	sharipova	PROPN
ajpdis-1345	63	6	,	,	PUNCT
ajpdis-1345	63	7	m.	m.	NOUN
ajpdis-1345	63	8	p.	p.	PROPN
ajpdis-1345	63	9	l.	l.	PROPN
ajpdis-1345	63	10	(	(	PUNCT
ajpdis-1345	63	11	2023	2023	NUM
ajpdis-1345	63	12	)	)	PUNCT
ajpdis-1345	63	13	.	.	PUNCT
ajpdis-1345	64	1	caputa	caputa	PROPN
ajpdis-1345	64	2	ma’nosida	ma’nosida	PROPN
ajpdis-1345	64	3	kasr	kasr	PROPN
ajpdis-1345	64	4	tartibli	tartibli	PROPN
ajpdis-1345	64	5	hosilalar	hosilalar	PROPN
ajpdis-1345	64	6	va	va	PROPN
ajpdis-1345	64	7	uni	uni	PROPN
ajpdis-1345	64	8	hisoblash	hisoblash	NOUN
ajpdis-1345	64	9	usullari	usullari	PROPN
ajpdis-1345	64	10	.	.	PUNCT
ajpdis-1345	65	1	educational	educational	ADJ
ajpdis-1345	65	2	research	research	NOUN
ajpdis-1345	65	3	in	in	ADP
ajpdis-1345	65	4	universal	universal	ADJ
ajpdis-1345	65	5	sciences	science	NOUN
ajpdis-1345	65	6	,	,	PUNCT
ajpdis-1345	65	7	2(9	2(9	NUM
ajpdis-1345	65	8	)	)	PUNCT
ajpdis-1345	65	9	,	,	PUNCT
ajpdis-1345	65	10	360	360	NUM
ajpdis-1345	65	11	-	-	SYM
ajpdis-1345	65	12	365	365	NUM
ajpdis-1345	65	13	.	.	PUNCT
ajpdis-1345	66	1	2	2	NUM
ajpdis-1345	66	2	.	.	X
ajpdis-1345	66	3	sharipova	sharipova	PROPN
ajpdis-1345	66	4	,	,	PUNCT
ajpdis-1345	66	5	m.	m.	NOUN
ajpdis-1345	66	6	p.	p.	PROPN
ajpdis-1345	66	7	(	(	PUNCT
ajpdis-1345	66	8	2023	2023	NUM
ajpdis-1345	66	9	)	)	PUNCT
ajpdis-1345	66	10	.	.	PUNCT
ajpdis-1345	67	1	maxsus	maxsus	PROPN
ajpdis-1345	67	2	sohalarda	sohalarda	PROPN
ajpdis-1345	67	3	karleman	karleman	PROPN
ajpdis-1345	67	4	matritsasi	matritsasi	PROPN
ajpdis-1345	67	5	.	.	PUNCT
ajpdis-1345	68	1	educational	educational	ADJ
ajpdis-1345	68	2	research	research	NOUN
ajpdis-1345	68	3	in	in	ADP
ajpdis-1345	68	4	universal	universal	ADJ
ajpdis-1345	68	5	sciences	science	NOUN
ajpdis-1345	68	6	,	,	PUNCT
ajpdis-1345	68	7	2(10	2(10	NUM
ajpdis-1345	68	8	)	)	PUNCT
ajpdis-1345	68	9	,	,	PUNCT
ajpdis-1345	68	10	137	137	NUM
ajpdis-1345	68	11	-	-	SYM
ajpdis-1345	68	12	141	141	NUM
ajpdis-1345	68	13	.	.	PUNCT
ajpdis-1345	69	1	3	3	X
ajpdis-1345	69	2	.	.	X
ajpdis-1345	69	3	jurakulov	jurakulov	PROPN
ajpdis-1345	69	4	,	,	PUNCT
ajpdis-1345	69	5	s.	s.	PROPN
ajpdis-1345	69	6	z.	z.	PROPN
ajpdis-1345	69	7	(	(	PUNCT
ajpdis-1345	69	8	2023	2023	NUM
ajpdis-1345	69	9	)	)	PUNCT
ajpdis-1345	69	10	.	.	PUNCT
ajpdis-1345	70	1	nuclear	nuclear	ADJ
ajpdis-1345	70	2	energy	energy	NOUN
ajpdis-1345	70	3	.	.	PUNCT
ajpdis-1345	71	1	educational	educational	ADJ
ajpdis-1345	71	2	research	research	NOUN
ajpdis-1345	71	3	in	in	ADP
ajpdis-1345	71	4	universal	universal	ADJ
ajpdis-1345	71	5	sciences	science	NOUN
ajpdis-1345	71	6	,	,	PUNCT
ajpdis-1345	71	7	2(10	2(10	NUM
ajpdis-1345	71	8	)	)	PUNCT
ajpdis-1345	71	9	,	,	PUNCT
ajpdis-1345	71	10	514	514	NUM
ajpdis-1345	71	11	-	-	SYM
ajpdis-1345	71	12	518	518	NUM
ajpdis-1345	71	13	.	.	NOUN
ajpdis-1345	71	14	4	4	NUM
ajpdis-1345	71	15	.	.	X
ajpdis-1345	71	16	oghly	oghly	ADV
ajpdis-1345	71	17	,	,	PUNCT
ajpdis-1345	71	18	j.	j.	PROPN
ajpdis-1345	71	19	s.	s.	PROPN
ajpdis-1345	71	20	z.	z.	PROPN
ajpdis-1345	71	21	(	(	PUNCT
ajpdis-1345	71	22	2023	2023	NUM
ajpdis-1345	71	23	)	)	PUNCT
ajpdis-1345	71	24	.	.	PUNCT
ajpdis-1345	72	1	physico	physico	NOUN
ajpdis-1345	72	2	-	-	PUNCT
ajpdis-1345	72	3	chemical	chemical	NOUN
ajpdis-1345	72	4	properties	property	NOUN
ajpdis-1345	72	5	of	of	ADP
ajpdis-1345	72	6	polymer	polymer	NOUN
ajpdis-1345	72	7	composites	composite	NOUN
ajpdis-1345	72	8	.	.	PUNCT
ajpdis-1345	73	1	american	american	PROPN
ajpdis-1345	73	2	journal	journal	PROPN
ajpdis-1345	73	3	of	of	ADP
ajpdis-1345	73	4	applied	apply	VERB
ajpdis-1345	73	5	science	science	NOUN
ajpdis-1345	73	6	and	and	CCONJ
ajpdis-1345	73	7	technology	technology	NOUN
ajpdis-1345	73	8	,	,	PUNCT
ajpdis-1345	73	9	3(10	3(10	NUM
ajpdis-1345	73	10	)	)	PUNCT
ajpdis-1345	73	11	,	,	PUNCT
ajpdis-1345	73	12	25	25	NUM
ajpdis-1345	73	13	-	-	SYM
ajpdis-1345	73	14	33	33	NUM
ajpdis-1345	73	15	.	.	NOUN
ajpdis-1345	74	1	5	5	NUM
ajpdis-1345	74	2	.	.	X
ajpdis-1345	74	3	zafarjon	zafarjon	NOUN
ajpdis-1345	74	4	o'g'li	o'g'li	PROPN
ajpdis-1345	74	5	,	,	PUNCT
ajpdis-1345	74	6	z.	z.	PROPN
ajpdis-1345	74	7	s.	s.	PROPN
ajpdis-1345	74	8	(	(	PUNCT
ajpdis-1345	74	9	2023	2023	NUM
ajpdis-1345	74	10	)	)	PUNCT
ajpdis-1345	74	11	.	.	PUNCT
ajpdis-1345	75	1	physical	physical	ADJ
ajpdis-1345	75	2	-	-	PUNCT
ajpdis-1345	75	3	mechanical	mechanical	ADJ
ajpdis-1345	75	4	properties	property	NOUN
ajpdis-1345	75	5	of	of	ADP
ajpdis-1345	75	6	interpolymer	interpolymer	ADJ
ajpdis-1345	75	7	complex	complex	ADJ
ajpdis-1345	75	8	film	film	NOUN
ajpdis-1345	75	9	based	base	VERB
ajpdis-1345	75	10	on	on	ADP
ajpdis-1345	75	11	sodium	sodium	NOUN
ajpdis-1345	75	12	carboxymethyl	carboxymethyl	NOUN
ajpdis-1345	75	13	cellulose	cellulose	NOUN
ajpdis-1345	75	14	and	and	CCONJ
ajpdis-1345	75	15	polyacrylamide	polyacrylamide	NOUN
ajpdis-1345	75	16	.	.	PUNCT
ajpdis-1345	76	1	6	6	X
ajpdis-1345	76	2	.	.	X
ajpdis-1345	76	3	jurakulov	jurakulov	PROPN
ajpdis-1345	76	4	sanjar	sanjar	PROPN
ajpdis-1345	76	5	zafarjon	zafarjon	NOUN
ajpdis-1345	76	6	oghly	oghly	ADV
ajpdis-1345	76	7	.	.	PUNCT
ajpdis-1345	77	1	(	(	PUNCT
ajpdis-1345	77	2	2023	2023	NUM
ajpdis-1345	77	3	)	)	PUNCT
ajpdis-1345	77	4	.	.	PUNCT
ajpdis-1345	78	1	the	the	DET
ajpdis-1345	78	2	relationship	relationship	NOUN
ajpdis-1345	78	3	of	of	ADP
ajpdis-1345	78	4	physics	physics	NOUN
ajpdis-1345	78	5	and	and	CCONJ
ajpdis-1345	78	6	art	art	NOUN
ajpdis-1345	78	7	in	in	ADP
ajpdis-1345	78	8	aristotle	aristotle	PROPN
ajpdis-1345	78	9	’s	’s	PART
ajpdis-1345	78	10	system	system	NOUN
ajpdis-1345	78	11	.	.	PUNCT
ajpdis-1345	79	1	international	international	ADJ
ajpdis-1345	79	2	journal	journal	NOUN
ajpdis-1345	79	3	of	of	ADP
ajpdis-1345	79	4	pedagogics	pedagogic	NOUN
ajpdis-1345	79	5	,	,	PUNCT
ajpdis-1345	79	6	3(11	3(11	NUM
ajpdis-1345	79	7	)	)	PUNCT
ajpdis-1345	79	8	,	,	PUNCT
ajpdis-1345	79	9	67–73	67–73	NUM
ajpdis-1345	79	10	.	.	PUNCT
ajpdis-1345	80	1	7	7	X
ajpdis-1345	80	2	.	.	X
ajpdis-1345	80	3	муродов	муродов	PROPN
ajpdis-1345	80	4	,	,	PUNCT
ajpdis-1345	80	5	о	о	PROPN
ajpdis-1345	80	6	.	.	PUNCT
ajpdis-1345	81	1	т	т	X
ajpdis-1345	81	2	.	.	PUNCT
ajpdis-1345	81	3	(	(	PUNCT
ajpdis-1345	81	4	2023	2023	NUM
ajpdis-1345	81	5	)	)	PUNCT
ajpdis-1345	81	6	.	.	PUNCT
ajpdis-1345	82	1	разработка	разработка	PROPN
ajpdis-1345	82	2	автоматизированной	автоматизированной	PROPN
ajpdis-1345	82	3	системы	системы	PROPN
ajpdis-1345	82	4	управления	управления	NOUN
ajpdis-1345	82	5	температуры	температуры	PROPN
ajpdis-1345	82	6	и	и	PROPN
ajpdis-1345	82	7	влажности	влажности	PROPN
ajpdis-1345	82	8	в	в	PROPN
ajpdis-1345	82	9	производственных	производственных	PROPN
ajpdis-1345	82	10	комнат	комнат	PROPN
ajpdis-1345	82	11	.	.	PUNCT
ajpdis-1345	83	1	golden	golden	ADJ
ajpdis-1345	83	2	brain	brain	NOUN
ajpdis-1345	83	3	,	,	PUNCT
ajpdis-1345	83	4	1(26	1(26	NUM
ajpdis-1345	83	5	)	)	PUNCT
ajpdis-1345	83	6	,	,	PUNCT
ajpdis-1345	83	7	91	91	NUM
ajpdis-1345	83	8	-	-	SYM
ajpdis-1345	83	9	95	95	NUM
ajpdis-1345	83	10	.	.	NOUN
ajpdis-1345	84	1	8	8	NUM
ajpdis-1345	84	2	.	.	X
ajpdis-1345	84	3	murodov	murodov	NOUN
ajpdis-1345	84	4	,	,	PUNCT
ajpdis-1345	84	5	o.	o.	PROPN
ajpdis-1345	84	6	t.	t.	PROPN
ajpdis-1345	84	7	r.	r.	PROPN
ajpdis-1345	84	8	(	(	PUNCT
ajpdis-1345	84	9	2023	2023	NUM
ajpdis-1345	84	10	)	)	PUNCT
ajpdis-1345	84	11	.	.	PUNCT
ajpdis-1345	85	1	zamonaviy	zamonaviy	PROPN
ajpdis-1345	85	2	ta’limda	ta’limda	PROPN
ajpdis-1345	85	3	axborot	axborot	PROPN
ajpdis-1345	85	4	texnologiyalari	texnologiyalari	PROPN
ajpdis-1345	85	5	va	va	PROPN
ajpdis-1345	85	6	ularni	ularni	PROPN
ajpdis-1345	85	7	qo	qo	PROPN
ajpdis-1345	85	8	‘	'	PUNCT
ajpdis-1345	85	9	llash	llash	VERB
ajpdis-1345	85	10	usul	usul	PROPN
ajpdis-1345	85	11	va	va	PROPN
ajpdis-1345	85	12	vositalari	vositalari	PROPN
ajpdis-1345	85	13	.	.	PUNCT
ajpdis-1345	86	1	educational	educational	ADJ
ajpdis-1345	86	2	research	research	NOUN
ajpdis-1345	86	3	in	in	ADP
ajpdis-1345	86	4	universal	universal	ADJ
ajpdis-1345	86	5	sciences	science	NOUN
ajpdis-1345	86	6	,	,	PUNCT
ajpdis-1345	86	7	2(10	2(10	NUM
ajpdis-1345	86	8	)	)	PUNCT
ajpdis-1345	86	9	,	,	PUNCT
ajpdis-1345	86	10	481	481	NUM
ajpdis-1345	86	11	-	-	SYM
ajpdis-1345	86	12	486	486	NUM
ajpdis-1345	86	13	.	.	PUNCT
ajpdis-1345	87	1	9	9	NUM
ajpdis-1345	87	2	.	.	X
ajpdis-1345	87	3	boboqulova	boboqulova	PROPN
ajpdis-1345	87	4	,	,	PUNCT
ajpdis-1345	87	5	m.	m.	NOUN
ajpdis-1345	87	6	x.	x.	NOUN
ajpdis-1345	87	7	(	(	PUNCT
ajpdis-1345	87	8	2023	2023	NUM
ajpdis-1345	87	9	)	)	PUNCT
ajpdis-1345	87	10	.	.	PUNCT
ajpdis-1345	88	1	stomatologik	stomatologik	NOUN
ajpdis-1345	88	2	materiallarning	materiallarne	VERB
ajpdis-1345	88	3	fizik	fizik	NOUN
ajpdis-1345	88	4	-	-	PUNCT
ajpdis-1345	88	5	mexanik	mexanik	NOUN
ajpdis-1345	88	6	xossalari	xossalari	ADJ
ajpdis-1345	88	7	.	.	PUNCT
ajpdis-1345	89	1	educational	educational	ADJ
ajpdis-1345	89	2	research	research	NOUN
ajpdis-1345	89	3	in	in	ADP
ajpdis-1345	89	4	universal	universal	ADJ
ajpdis-1345	89	5	sciences	science	NOUN
ajpdis-1345	89	6	,	,	PUNCT
ajpdis-1345	89	7	2(9	2(9	NUM
ajpdis-1345	89	8	)	)	PUNCT
ajpdis-1345	89	9	,	,	PUNCT
ajpdis-1345	89	10	223	223	NUM
ajpdis-1345	89	11	-	-	SYM
ajpdis-1345	89	12	228	228	NUM
ajpdis-1345	89	13	.	.	PUNCT
ajpdis-1345	90	1	10	10	NUM
ajpdis-1345	90	2	.	.	X
ajpdis-1345	90	3	axmedova	axmedova	PROPN
ajpdis-1345	90	4	,	,	PUNCT
ajpdis-1345	90	5	z.	z.	PROPN
ajpdis-1345	90	6	i.	i.	PROPN
ajpdis-1345	90	7	(	(	PUNCT
ajpdis-1345	90	8	2023	2023	NUM
ajpdis-1345	90	9	)	)	PUNCT
ajpdis-1345	90	10	.	.	PUNCT
ajpdis-1345	91	1	lms	lms	PROPN
ajpdis-1345	91	2	tizimida	tizimida	PROPN
ajpdis-1345	91	3	interaktiv	interaktiv	PROPN
ajpdis-1345	91	4	elementlarni	elementlarni	PROPN
ajpdis-1345	91	5	yaratish	yaratish	PROPN
ajpdis-1345	91	6	texnologiyasi	texnologiyasi	PROPN
ajpdis-1345	91	7	.	.	PUNCT
ajpdis-1345	92	1	educational	educational	ADJ
ajpdis-1345	92	2	research	research	NOUN
ajpdis-1345	92	3	in	in	ADP
ajpdis-1345	92	4	universal	universal	ADJ
ajpdis-1345	92	5	sciences	science	NOUN
ajpdis-1345	92	6	,	,	PUNCT
ajpdis-1345	92	7	2(10	2(10	NUM
ajpdis-1345	92	8	)	)	PUNCT
ajpdis-1345	92	9	,	,	PUNCT
ajpdis-1345	92	10	368	368	NUM
ajpdis-1345	92	11	-	-	SYM
ajpdis-1345	92	12	372	372	NUM
ajpdis-1345	92	13	.	.	NOUN
ajpdis-1345	92	14	11	11	NUM
ajpdis-1345	92	15	.	.	PUNCT
ajpdis-1345	93	1	qizi	qizi	PROPN
ajpdis-1345	93	2	latipova	latipova	PROPN
ajpdis-1345	93	3	,	,	PUNCT
ajpdis-1345	93	4	s.	s.	PROPN
ajpdis-1345	93	5	s.	s.	PROPN
ajpdis-1345	93	6	(	(	PUNCT
ajpdis-1345	93	7	2023	2023	NUM
ajpdis-1345	93	8	)	)	PUNCT
ajpdis-1345	93	9	.	.	PUNCT
ajpdis-1345	94	1	mittag	mittag	ADJ
ajpdis-1345	94	2	–	–	PUNCT
ajpdis-1345	94	3	liffler	liffler	NOUN
ajpdis-1345	94	4	funksiyasi	funksiyasi	PROPN
ajpdis-1345	94	5	va	va	PROPN
ajpdis-1345	94	6	uni	uni	PROPN
ajpdis-1345	94	7	hisoblash	hisoblash	NOUN
ajpdis-1345	94	8	usullari	usullari	PROPN
ajpdis-1345	94	9	.	.	PUNCT
ajpdis-1345	95	1	educational	educational	ADJ
ajpdis-1345	95	2	research	research	NOUN
ajpdis-1345	95	3	in	in	ADP
ajpdis-1345	95	4	universal	universal	ADJ
ajpdis-1345	95	5	sciences	science	NOUN
ajpdis-1345	95	6	,	,	PUNCT
ajpdis-1345	95	7	2(9	2(9	NUM
ajpdis-1345	95	8	)	)	PUNCT
ajpdis-1345	95	9	,	,	PUNCT
ajpdis-1345	95	10	238	238	NUM
ajpdis-1345	95	11	-	-	SYM
ajpdis-1345	95	12	244	244	NUM
ajpdis-1345	95	13	.	.	PUNCT
ajpdis-1345	96	1	12	12	NUM
ajpdis-1345	96	2	.	.	PUNCT
ajpdis-1345	96	3	shahnoza	shahnoza	PROPN
ajpdis-1345	96	4	,	,	PUNCT
ajpdis-1345	96	5	l.	l.	PROPN
ajpdis-1345	96	6	(	(	PUNCT
ajpdis-1345	96	7	2023	2023	NUM
ajpdis-1345	96	8	,	,	PUNCT
ajpdis-1345	96	9	march	march	PROPN
ajpdis-1345	96	10	)	)	PUNCT
ajpdis-1345	96	11	.	.	PUNCT
ajpdis-1345	97	1	kasr	kasr	PROPN
ajpdis-1345	97	2	tartibli	tartibli	PROPN
ajpdis-1345	97	3	tenglamalarda	tenglamalarda	PROPN
ajpdis-1345	97	4	manba	manba	PROPN
ajpdis-1345	97	5	va	va	PROPN
ajpdis-1345	98	1	boshlang’ich	boshlang’ich	PRON
ajpdis-1345	98	2	funksiyani	funksiyani	PROPN
ajpdis-1345	98	3	aniqlash	aniqlash	NOUN
ajpdis-1345	98	4	bo’yicha	bo’yicha	X
ajpdis-1345	98	5	teskari	teskari	PROPN
ajpdis-1345	98	6	masalalar	masalalar	PROPN
ajpdis-1345	98	7	.	.	PUNCT
ajpdis-1345	99	1	in	in	ADP
ajpdis-1345	99	2	"	"	PUNCT
ajpdis-1345	99	3	conference	conference	NOUN
ajpdis-1345	99	4	on	on	ADP
ajpdis-1345	99	5	universal	universal	ADJ
ajpdis-1345	99	6	science	science	NOUN
ajpdis-1345	99	7	research	research	NOUN
ajpdis-1345	99	8	2023	2023	NUM
ajpdis-1345	99	9	"	"	PUNCT
ajpdis-1345	99	10	(	(	PUNCT
ajpdis-1345	99	11	vol	vol	NOUN
ajpdis-1345	99	12	.	.	NOUN
ajpdis-1345	99	13	1	1	NUM
ajpdis-1345	99	14	,	,	PUNCT
ajpdis-1345	99	15	no	no	INTJ
ajpdis-1345	99	16	.	.	NOUN
ajpdis-1345	99	17	3	3	NUM
ajpdis-1345	99	18	,	,	PUNCT
ajpdis-1345	99	19	pp	pp	ADJ
ajpdis-1345	99	20	.	.	PUNCT
ajpdis-1345	99	21	8	8	NUM
ajpdis-1345	99	22	-	-	SYM
ajpdis-1345	99	23	10	10	NUM
ajpdis-1345	99	24	)	)	PUNCT
ajpdis-1345	99	25	.	.	PUNCT
ajpdis-1345	100	1	13	13	NUM
ajpdis-1345	100	2	.	.	PUNCT
ajpdis-1345	100	3	jalolov	jalolov	NOUN
ajpdis-1345	100	4	,	,	PUNCT
ajpdis-1345	100	5	t.	t.	PROPN
ajpdis-1345	100	6	s.	s.	PROPN
ajpdis-1345	100	7	(	(	PUNCT
ajpdis-1345	100	8	2023	2023	NUM
ajpdis-1345	100	9	)	)	PUNCT
ajpdis-1345	100	10	.	.	PUNCT
ajpdis-1345	101	1	psixologiya	psixologiya	PROPN
ajpdis-1345	101	2	yo	yo	PROPN
ajpdis-1345	101	3	‘	'	PUNCT
ajpdis-1345	101	4	nalishida	nalishida	PROPN
ajpdis-1345	101	5	tahsil	tahsil	PROPN
ajpdis-1345	101	6	olayotgan	olayotgan	PROPN
ajpdis-1345	101	7	talabalarga	talabalarga	PROPN
ajpdis-1345	101	8	spss	spss	PROPN
ajpdis-1345	101	9	yordamida	yordamida	PROPN
ajpdis-1345	101	10	matematik	matematik	PROPN
ajpdis-1345	101	11	usullarni	usullarni	ADJ
ajpdis-1345	101	12	o	o	NOUN
ajpdis-1345	101	13	‘	'	PUNCT
ajpdis-1345	101	14	rgatishning	rgatishne	VERB
ajpdis-1345	101	15	metodik	metodik	ADJ
ajpdis-1345	101	16	usullari	usullari	NOUN
ajpdis-1345	101	17	.	.	PUNCT
ajpdis-1345	102	1	educational	educational	ADJ
ajpdis-1345	102	2	research	research	NOUN
ajpdis-1345	102	3	in	in	ADP
ajpdis-1345	102	4	universal	universal	ADJ
ajpdis-1345	102	5	sciences	science	NOUN
ajpdis-1345	102	6	,	,	PUNCT
ajpdis-1345	102	7	2(10	2(10	NUM
ajpdis-1345	102	8	)	)	PUNCT
ajpdis-1345	102	9	,	,	PUNCT
ajpdis-1345	102	10	323	323	NUM
ajpdis-1345	102	11	-	-	SYM
ajpdis-1345	102	12	326	326	NUM
ajpdis-1345	102	13	.	.	PUNCT
ajpdis-1345	103	1	14	14	NUM
ajpdis-1345	103	2	.	.	PUNCT
ajpdis-1345	104	1	jalolov	jalolov	NOUN
ajpdis-1345	104	2	,	,	PUNCT
ajpdis-1345	104	3	t.	t.	PROPN
ajpdis-1345	104	4	s.	s.	PROPN
ajpdis-1345	104	5	(	(	PUNCT
ajpdis-1345	104	6	2023	2023	NUM
ajpdis-1345	104	7	)	)	PUNCT
ajpdis-1345	104	8	.	.	PUNCT
ajpdis-1345	105	1	python	python	PROPN
ajpdis-1345	105	2	instrumentlari	instrumentlari	PROPN
ajpdis-1345	105	3	bilan	bilan	PROPN
ajpdis-1345	105	4	katta	katta	PROPN
ajpdis-1345	105	5	ma’lumotlarni	ma’lumotlarni	PROPN
ajpdis-1345	105	6	qayta	qayta	PROPN
ajpdis-1345	105	7	ishlash	ishlash	NOUN
ajpdis-1345	105	8	.	.	PUNCT
ajpdis-1345	106	1	educational	educational	ADJ
ajpdis-1345	106	2	research	research	NOUN
ajpdis-1345	106	3	in	in	ADP
ajpdis-1345	106	4	universal	universal	ADJ
ajpdis-1345	106	5	sciences	science	NOUN
ajpdis-1345	106	6	,	,	PUNCT
ajpdis-1345	106	7	2(10	2(10	NUM
ajpdis-1345	106	8	)	)	PUNCT
ajpdis-1345	106	9	,	,	PUNCT
ajpdis-1345	106	10	320	320	NUM
ajpdis-1345	106	11	-	-	SYM
ajpdis-1345	106	12	322	322	NUM
ajpdis-1345	106	13	.	.	NOUN
ajpdis-1345	106	14	15	15	NUM
ajpdis-1345	106	15	.	.	PUNCT
ajpdis-1345	107	1	jalolov	jalolov	NOUN
ajpdis-1345	107	2	,	,	PUNCT
ajpdis-1345	107	3	t.	t.	PROPN
ajpdis-1345	107	4	s.	s.	PROPN
ajpdis-1345	107	5	,	,	PUNCT
ajpdis-1345	107	6	&	&	CCONJ
ajpdis-1345	107	7	usmonov	usmonov	PROPN
ajpdis-1345	107	8	,	,	PUNCT
ajpdis-1345	107	9	a.	a.	NOUN
ajpdis-1345	107	10	u.	u.	PROPN
ajpdis-1345	107	11	(	(	PUNCT
ajpdis-1345	107	12	2021	2021	NUM
ajpdis-1345	107	13	)	)	PUNCT
ajpdis-1345	107	14	.	.	PUNCT
ajpdis-1345	108	1	“	"	PUNCT
ajpdis-1345	108	2	аqlli	аqlli	PROPN
ajpdis-1345	108	3	issiqxona	issiqxona	PROPN
ajpdis-1345	108	4	”	"	PUNCT
ajpdis-1345	108	5	boshqarish	boshqarish	PROPN
ajpdis-1345	108	6	tizimini	tizimini	PROPN
ajpdis-1345	108	7	modellashtirish	modellashtirish	PROPN
ajpdis-1345	108	8	va	va	PROPN
ajpdis-1345	108	9	tadqiq	tadqiq	PROPN
ajpdis-1345	108	10	qilish	qilish	VERB
ajpdis-1345	108	11	.	.	PUNCT
ajpdis-1345	109	1	экономика	экономика	VERB
ajpdis-1345	109	2	и	и	PROPN
ajpdis-1345	109	3	социум	социум	PROPN
ajpdis-1345	109	4	,	,	PUNCT
ajpdis-1345	109	5	(	(	PUNCT
ajpdis-1345	109	6	9	9	NUM
ajpdis-1345	109	7	(	(	PUNCT
ajpdis-1345	109	8	88	88	NUM
ajpdis-1345	109	9	)	)	PUNCT
ajpdis-1345	109	10	)	)	PUNCT
ajpdis-1345	109	11	,	,	PUNCT
ajpdis-1345	109	12	74	74	NUM
ajpdis-1345	109	13	-	-	SYM
ajpdis-1345	109	14	77	77	NUM
ajpdis-1345	109	15	.	.	PUNCT
ajpdis-1345	110	1	16	16	NUM
ajpdis-1345	110	2	.	.	PUNCT
ajpdis-1345	110	3	sadriddinovich	sadriddinovich	NOUN
ajpdis-1345	110	4	,	,	PUNCT
ajpdis-1345	110	5	j.	j.	PROPN
ajpdis-1345	110	6	t.	t.	PROPN
ajpdis-1345	110	7	(	(	PUNCT
ajpdis-1345	110	8	2023	2023	NUM
ajpdis-1345	110	9	)	)	PUNCT
ajpdis-1345	110	10	.	.	PUNCT
ajpdis-1345	111	1	capabilities	capability	NOUN
ajpdis-1345	111	2	of	of	ADP
ajpdis-1345	111	3	spss	spss	ADJ
ajpdis-1345	111	4	software	software	NOUN
ajpdis-1345	111	5	in	in	ADP
ajpdis-1345	111	6	high	high	ADJ
ajpdis-1345	111	7	volume	volume	NOUN
ajpdis-1345	111	8	data	datum	NOUN
ajpdis-1345	111	9	processing	processing	NOUN
ajpdis-1345	111	10	testing	testing	NOUN
ajpdis-1345	111	11	.	.	PUNCT
ajpdis-1345	112	1	american	american	ADJ
ajpdis-1345	112	2	journal	journal	PROPN
ajpdis-1345	112	3	of	of	ADP
ajpdis-1345	112	4	public	public	ADJ
ajpdis-1345	112	5	diplomacy	diplomacy	NOUN
ajpdis-1345	112	6	and	and	CCONJ
ajpdis-1345	112	7	international	international	ADJ
ajpdis-1345	112	8	studies	study	NOUN
ajpdis-1345	112	9	(	(	PUNCT
ajpdis-1345	112	10	2993	2993	NUM
ajpdis-1345	112	11	-	-	SYM
ajpdis-1345	112	12	2157	2157	NUM
ajpdis-1345	112	13	)	)	PUNCT
ajpdis-1345	112	14	,	,	PUNCT
ajpdis-1345	112	15	1(9	1(9	NUM
ajpdis-1345	112	16	)	)	PUNCT
ajpdis-1345	112	17	,	,	PUNCT
ajpdis-1345	112	18	8286	8286	NUM
ajpdis-1345	112	19	.	.	PUNCT
ajpdis-1345	113	1	17	17	NUM
ajpdis-1345	113	2	.	.	PUNCT
ajpdis-1345	113	3	турсунов	турсунов	NOUN
ajpdis-1345	113	4	,	,	PUNCT
ajpdis-1345	113	5	б	б	NOUN
ajpdis-1345	113	6	.	.	PUNCT
ajpdis-1345	114	1	ж	ж	X
ajpdis-1345	114	2	.	.	PROPN
ajpdis-1345	114	3	,	,	PUNCT
ajpdis-1345	114	4	гайбуллаев	гайбуллаев	PROPN
ajpdis-1345	114	5	,	,	PUNCT
ajpdis-1345	114	6	с	с	PROPN
ajpdis-1345	114	7	.	.	PUNCT
ajpdis-1345	115	1	а	а	PROPN
ajpdis-1345	115	2	.	.	PROPN
ajpdis-1345	115	3	,	,	PUNCT
ajpdis-1345	115	4	&	&	CCONJ
ajpdis-1345	115	5	жумаев	жумаев	PROPN
ajpdis-1345	115	6	,	,	PUNCT
ajpdis-1345	115	7	к	к	X
ajpdis-1345	115	8	.	.	PUNCT
ajpdis-1345	116	1	к	к	X
ajpdis-1345	116	2	.	.	PUNCT
ajpdis-1345	117	1	(	(	PUNCT
ajpdis-1345	117	2	2020	2020	NUM
ajpdis-1345	117	3	)	)	PUNCT
ajpdis-1345	117	4	.	.	PUNCT
ajpdis-1345	118	1	влияние	влияние	PROPN
ajpdis-1345	118	2	технологических	технологических	PROPN
ajpdis-1345	118	3	параметров	параметров	PROPN
ajpdis-1345	118	4	на	на	PROPN
ajpdis-1345	118	5	гликолевую	гликолевую	PROPN
ajpdis-1345	118	6	осушку	осушку	ADJ
ajpdis-1345	118	7	газа	газа	NOUN
ajpdis-1345	118	8	.	.	PUNCT
ajpdis-1345	119	1	sciences	science	NOUN
ajpdis-1345	119	2	of	of	ADP
ajpdis-1345	119	3	europe	europe	PROPN
ajpdis-1345	119	4	,	,	PUNCT
ajpdis-1345	119	5	(	(	PUNCT
ajpdis-1345	119	6	55	55	NUM
ajpdis-1345	119	7	-	-	SYM
ajpdis-1345	119	8	1	1	NUM
ajpdis-1345	119	9	(	(	PUNCT
ajpdis-1345	119	10	55	55	NUM
ajpdis-1345	119	11	)	)	PUNCT
ajpdis-1345	119	12	)	)	PUNCT
ajpdis-1345	119	13	,	,	PUNCT
ajpdis-1345	119	14	33	33	NUM
ajpdis-1345	119	15	-	-	SYM
ajpdis-1345	119	16	36	36	NUM
ajpdis-1345	119	17	.	.	PUNCT
ajpdis-1345	119	18	http://www/	http://www/	X
ajpdis-1345	119	19	138	138	NUM
ajpdis-1345	119	20	american	american	PROPN
ajpdis-1345	119	21	journal	journal	PROPN
ajpdis-1345	119	22	of	of	ADP
ajpdis-1345	119	23	public	public	ADJ
ajpdis-1345	119	24	diplomacy	diplomacy	NOUN
ajpdis-1345	119	25	and	and	CCONJ
ajpdis-1345	119	26	international	international	ADJ
ajpdis-1345	119	27	studies	study	NOUN
ajpdis-1345	119	28	www	www	PROPN
ajpdis-1345	119	29	.	.	PUNCT
ajpdis-1345	120	1	grnjournal.us	grnjournal.us	X
ajpdis-1345	120	2	18	18	NUM
ajpdis-1345	120	3	.	.	PUNCT
ajpdis-1345	120	4	турсунов	турсунов	NOUN
ajpdis-1345	120	5	,	,	PUNCT
ajpdis-1345	120	6	б	б	NOUN
ajpdis-1345	120	7	.	.	PUNCT
ajpdis-1345	121	1	ж	ж	X
ajpdis-1345	121	2	.	.	PROPN
ajpdis-1345	121	3	,	,	PUNCT
ajpdis-1345	121	4	&	&	CCONJ
ajpdis-1345	121	5	алланазаров	алланазаров	PROPN
ajpdis-1345	121	6	,	,	PUNCT
ajpdis-1345	121	7	г	г	PROPN
ajpdis-1345	121	8	.	.	PUNCT
ajpdis-1345	122	1	о	о	X
ajpdis-1345	122	2	.	.	PUNCT
ajpdis-1345	123	1	(	(	PUNCT
ajpdis-1345	123	2	2019	2019	NUM
ajpdis-1345	123	3	)	)	PUNCT
ajpdis-1345	123	4	.	.	PUNCT
ajpdis-1345	124	1	перспективные	перспективные	PROPN
ajpdis-1345	124	2	технологии	технологии	PROPN
ajpdis-1345	124	3	производства	производства	PROPN
ajpdis-1345	124	4	по	по	PROPN
ajpdis-1345	124	5	улучшению	улучшению	VERB
ajpdis-1345	124	6	качества	качества	PROPN
ajpdis-1345	124	7	бензина	бензина	PROPN
ajpdis-1345	124	8	.	.	PUNCT
ajpdis-1345	125	1	теория	теория	PROPN
ajpdis-1345	125	2	и	и	PROPN
ajpdis-1345	125	3	практика	практика	NOUN
ajpdis-1345	125	4	современной	современной	NOUN
ajpdis-1345	125	5	науки	науки	NOUN
ajpdis-1345	125	6	,	,	PUNCT
ajpdis-1345	125	7	(	(	PUNCT
ajpdis-1345	125	8	3	3	NUM
ajpdis-1345	125	9	(	(	PUNCT
ajpdis-1345	125	10	45	45	NUM
ajpdis-1345	125	11	)	)	PUNCT
ajpdis-1345	125	12	)	)	PUNCT
ajpdis-1345	125	13	,	,	PUNCT
ajpdis-1345	125	14	305	305	NUM
ajpdis-1345	125	15	-	-	SYM
ajpdis-1345	125	16	308	308	NUM
ajpdis-1345	125	17	.	.	PUNCT
ajpdis-1345	125	18	19	19	NUM
ajpdis-1345	125	19	.	.	PUNCT
ajpdis-1345	126	1	турсунов	турсунов	NOUN
ajpdis-1345	126	2	,	,	PUNCT
ajpdis-1345	126	3	б	б	NOUN
ajpdis-1345	126	4	.	.	PUNCT
ajpdis-1345	127	1	д	д	NOUN
ajpdis-1345	127	2	.	.	PROPN
ajpdis-1345	127	3	,	,	PUNCT
ajpdis-1345	127	4	&	&	CCONJ
ajpdis-1345	127	5	суннатов	суннатов	PROPN
ajpdis-1345	127	6	,	,	PUNCT
ajpdis-1345	127	7	ж	ж	X
ajpdis-1345	127	8	.	.	PUNCT
ajpdis-1345	128	1	б	б	X
ajpdis-1345	128	2	.	.	PUNCT
ajpdis-1345	129	1	(	(	PUNCT
ajpdis-1345	129	2	2017	2017	NUM
ajpdis-1345	129	3	)	)	PUNCT
ajpdis-1345	129	4	.	.	PUNCT
ajpdis-1345	130	1	совершенствование	совершенствование	PROPN
ajpdis-1345	130	2	технологии	технологии	PROPN
ajpdis-1345	130	3	вторичного	вторичного	PROPN
ajpdis-1345	130	4	дробления	дробления	PROPN
ajpdis-1345	130	5	безвзрывным	безвзрывным	NOUN
ajpdis-1345	130	6	методом	методом	VERB
ajpdis-1345	130	7	.	.	PUNCT
ajpdis-1345	131	1	молодой	молодой	NOUN
ajpdis-1345	131	2	ученый	ученый	NOUN
ajpdis-1345	131	3	,	,	PUNCT
ajpdis-1345	131	4	(	(	PUNCT
ajpdis-1345	131	5	13	13	NUM
ajpdis-1345	131	6	)	)	PUNCT
ajpdis-1345	131	7	,	,	PUNCT
ajpdis-1345	131	8	97	97	NUM
ajpdis-1345	131	9	-	-	SYM
ajpdis-1345	131	10	100	100	NUM
ajpdis-1345	131	11	.	.	PUNCT
ajpdis-1345	132	1	20	20	NUM
ajpdis-1345	132	2	.	.	PUNCT
ajpdis-1345	133	1	турсунов	турсунов	NOUN
ajpdis-1345	133	2	,	,	PUNCT
ajpdis-1345	133	3	б	б	NOUN
ajpdis-1345	133	4	.	.	PUNCT
ajpdis-1345	134	1	ж	ж	X
ajpdis-1345	134	2	.	.	PROPN
ajpdis-1345	134	3	,	,	PUNCT
ajpdis-1345	134	4	&	&	CCONJ
ajpdis-1345	134	5	шомуродов	шомуродов	PROPN
ajpdis-1345	134	6	,	,	PUNCT
ajpdis-1345	134	7	а	а	PROPN
ajpdis-1345	134	8	.	.	PUNCT
ajpdis-1345	135	1	ю	ю	VERB
ajpdis-1345	135	2	.	.	PUNCT
ajpdis-1345	136	1	(	(	PUNCT
ajpdis-1345	136	2	2021	2021	NUM
ajpdis-1345	136	3	)	)	PUNCT
ajpdis-1345	136	4	.	.	PUNCT
ajpdis-1345	137	1	перспективный	перспективный	ADJ
ajpdis-1345	137	2	метод	метод	NOUN
ajpdis-1345	137	3	утилизации	утилизации	PROPN
ajpdis-1345	137	4	отходов	отходов	VERB
ajpdis-1345	137	5	нефтеперерабатывающей	нефтеперерабатывающей	NOUN
ajpdis-1345	137	6	промышленности	промышленности	X
ajpdis-1345	137	7	.	.	PUNCT
ajpdis-1345	138	1	ta'lim	ta'lim	NUM
ajpdis-1345	138	2	va	va	PROPN
ajpdis-1345	138	3	rivojlanish	rivojlanish	ADJ
ajpdis-1345	138	4	tahlili	tahlili	NOUN
ajpdis-1345	138	5	onlayn	onlayn	PROPN
ajpdis-1345	138	6	ilmiy	ilmiy	PROPN
ajpdis-1345	138	7	jurnali	jurnali	PROPN
ajpdis-1345	138	8	,	,	PUNCT
ajpdis-1345	138	9	1(6	1(6	NUM
ajpdis-1345	138	10	)	)	PUNCT
ajpdis-1345	138	11	,	,	PUNCT
ajpdis-1345	138	12	239	239	NUM
ajpdis-1345	138	13	-	-	SYM
ajpdis-1345	138	14	243	243	NUM
ajpdis-1345	138	15	.	.	PUNCT
ajpdis-1345	139	1	21	21	NUM
ajpdis-1345	139	2	.	.	PUNCT
ajpdis-1345	139	3	bakhodir	bakhodir	PROPN
ajpdis-1345	139	4	,	,	PUNCT
ajpdis-1345	139	5	t.	t.	PROPN
ajpdis-1345	139	6	,	,	PUNCT
ajpdis-1345	139	7	bakhtiyor	bakhtiyor	NOUN
ajpdis-1345	139	8	,	,	PUNCT
ajpdis-1345	139	9	g.	g.	PROPN
ajpdis-1345	139	10	,	,	PUNCT
ajpdis-1345	139	11	&	&	CCONJ
ajpdis-1345	139	12	makhfuza	makhfuza	NOUN
ajpdis-1345	139	13	,	,	PUNCT
ajpdis-1345	139	14	o.	o.	NOUN
ajpdis-1345	139	15	(	(	PUNCT
ajpdis-1345	139	16	2021	2021	NUM
ajpdis-1345	139	17	)	)	PUNCT
ajpdis-1345	139	18	.	.	PUNCT
ajpdis-1345	140	1	oil	oil	NOUN
ajpdis-1345	140	2	sludge	sludge	NOUN
ajpdis-1345	140	3	and	and	CCONJ
ajpdis-1345	140	4	their	their	PRON
ajpdis-1345	140	5	impact	impact	NOUN
ajpdis-1345	140	6	on	on	ADP
ajpdis-1345	140	7	the	the	DET
ajpdis-1345	140	8	environment	environment	NOUN
ajpdis-1345	140	9	.	.	PUNCT
ajpdis-1345	141	1	universum	universum	PROPN
ajpdis-1345	141	2	:	:	PUNCT
ajpdis-1345	141	3	технические	технические	PROPN
ajpdis-1345	141	4	науки	науки	PROPN
ajpdis-1345	141	5	,	,	PUNCT
ajpdis-1345	141	6	(	(	PUNCT
ajpdis-1345	141	7	6	6	NUM
ajpdis-1345	141	8	-	-	SYM
ajpdis-1345	141	9	5	5	NUM
ajpdis-1345	141	10	(	(	PUNCT
ajpdis-1345	141	11	87	87	NUM
ajpdis-1345	141	12	)	)	PUNCT
ajpdis-1345	141	13	)	)	PUNCT
ajpdis-1345	141	14	,	,	PUNCT
ajpdis-1345	141	15	69	69	NUM
ajpdis-1345	141	16	-	-	SYM
ajpdis-1345	141	17	71	71	NUM
ajpdis-1345	141	18	.	.	PUNCT
ajpdis-1345	142	1	22	22	NUM
ajpdis-1345	142	2	.	.	PUNCT
ajpdis-1345	143	1	турсунов	турсунов	NOUN
ajpdis-1345	143	2	,	,	PUNCT
ajpdis-1345	143	3	б	б	NOUN
ajpdis-1345	143	4	.	.	PUNCT
ajpdis-1345	144	1	ж	ж	X
ajpdis-1345	144	2	.	.	PUNCT
ajpdis-1345	145	1	(	(	PUNCT
ajpdis-1345	145	2	2021	2021	NUM
ajpdis-1345	145	3	)	)	PUNCT
ajpdis-1345	145	4	.	.	PUNCT
ajpdis-1345	146	1	анализ	анализ	PROPN
ajpdis-1345	146	2	методов	методов	PROPN
ajpdis-1345	146	3	утилизации	утилизации	PROPN
ajpdis-1345	146	4	отходов	отходов	VERB
ajpdis-1345	146	5	нефтеперерабатывающей	нефтеперерабатывающей	NOUN
ajpdis-1345	146	6	промышленности	промышленности	X
ajpdis-1345	146	7	.	.	PUNCT
ajpdis-1345	147	1	scientific	scientific	ADJ
ajpdis-1345	147	2	progress	progress	NOUN
ajpdis-1345	147	3	,	,	PUNCT
ajpdis-1345	147	4	2(4	2(4	NUM
ajpdis-1345	147	5	)	)	PUNCT
ajpdis-1345	147	6	,	,	PUNCT
ajpdis-1345	147	7	669674	669674	NUM
ajpdis-1345	147	8	.	.	PUNCT
ajpdis-1345	148	1	23	23	NUM
ajpdis-1345	148	2	.	.	PUNCT
ajpdis-1345	149	1	турсунов	турсунов	NOUN
ajpdis-1345	149	2	,	,	PUNCT
ajpdis-1345	149	3	б	б	NOUN
ajpdis-1345	149	4	.	.	PUNCT
ajpdis-1345	150	1	ж	ж	X
ajpdis-1345	150	2	.	.	PROPN
ajpdis-1345	150	3	,	,	PUNCT
ajpdis-1345	150	4	ботиров	ботиров	PROPN
ajpdis-1345	150	5	,	,	PUNCT
ajpdis-1345	150	6	т	т	PROPN
ajpdis-1345	150	7	.	.	PUNCT
ajpdis-1345	150	8	в	в	PROPN
ajpdis-1345	150	9	.	.	PROPN
ajpdis-1345	150	10	,	,	PUNCT
ajpdis-1345	150	11	ташпулатов	ташпулатов	PROPN
ajpdis-1345	150	12	,	,	PUNCT
ajpdis-1345	150	13	д	д	NOUN
ajpdis-1345	150	14	.	.	PUNCT
ajpdis-1345	150	15	к	к	PROPN
ajpdis-1345	150	16	.	.	PROPN
ajpdis-1345	150	17	,	,	PUNCT
ajpdis-1345	150	18	&	&	CCONJ
ajpdis-1345	150	19	хайруллаев	хайруллаев	NOUN
ajpdis-1345	150	20	,	,	PUNCT
ajpdis-1345	150	21	б	б	NOUN
ajpdis-1345	150	22	.	.	PUNCT
ajpdis-1345	150	23	и	и	PROPN
ajpdis-1345	150	24	.	.	PUNCT
ajpdis-1345	151	1	(	(	PUNCT
ajpdis-1345	151	2	2018	2018	NUM
ajpdis-1345	151	3	)	)	PUNCT
ajpdis-1345	151	4	.	.	PUNCT
ajpdis-1345	152	1	перспектива	перспектива	VERB
ajpdis-1345	152	2	применения	применения	ADJ
ajpdis-1345	152	3	оптимального	оптимального	PROPN
ajpdis-1345	152	4	процесса	процесса	PROPN
ajpdis-1345	152	5	рудоотделения	рудоотделения	NOUN
ajpdis-1345	152	6	в	в	PROPN
ajpdis-1345	152	7	карьере	карьере	X
ajpdis-1345	152	8	мурунтау	мурунтау	NOUN
ajpdis-1345	152	9	.	.	PUNCT
ajpdis-1345	153	1	in	in	ADP
ajpdis-1345	153	2	инновационные	инновационные	NOUN
ajpdis-1345	153	3	геотехнологии	геотехнологии	PROPN
ajpdis-1345	153	4	при	при	PROPN
ajpdis-1345	153	5	разработке	разработке	PROPN
ajpdis-1345	153	6	рудных	рудных	PROPN
ajpdis-1345	153	7	и	и	PROPN
ajpdis-1345	153	8	нерудных	нерудных	PROPN
ajpdis-1345	153	9	месторождений	месторождений	NOUN
ajpdis-1345	153	10	(	(	PUNCT
ajpdis-1345	153	11	pp	pp	ADJ
ajpdis-1345	153	12	.	.	PUNCT
ajpdis-1345	153	13	160	160	NUM
ajpdis-1345	153	14	-	-	SYM
ajpdis-1345	153	15	164	164	NUM
ajpdis-1345	153	16	)	)	PUNCT
ajpdis-1345	153	17	.	.	PUNCT
ajpdis-1345	154	1	24	24	NUM
ajpdis-1345	154	2	.	.	PUNCT
ajpdis-1345	154	3	турсунов	турсунов	NOUN
ajpdis-1345	154	4	,	,	PUNCT
ajpdis-1345	154	5	б	б	NOUN
ajpdis-1345	154	6	.	.	PROPN
ajpdis-1345	154	7	,	,	PUNCT
ajpdis-1345	154	8	&	&	CCONJ
ajpdis-1345	154	9	ташпулатов	ташпулатов	PROPN
ajpdis-1345	154	10	,	,	PUNCT
ajpdis-1345	154	11	д	д	NOUN
ajpdis-1345	154	12	.	.	PUNCT
ajpdis-1345	154	13	(	(	PUNCT
ajpdis-1345	154	14	2018	2018	NUM
ajpdis-1345	154	15	)	)	PUNCT
ajpdis-1345	154	16	.	.	PUNCT
ajpdis-1345	155	1	эффективность	эффективность	ADJ
ajpdis-1345	155	2	применения	применения	NOUN
ajpdis-1345	155	3	предварительного	предварительного	ADJ
ajpdis-1345	155	4	обогащения	обогащения	NOUN
ajpdis-1345	155	5	руд	руд	NOUN
ajpdis-1345	155	6	в	в	PROPN
ajpdis-1345	155	7	карьере	карьере	X
ajpdis-1345	155	8	кальмакир	кальмакир	PROPN
ajpdis-1345	155	9	.	.	PUNCT
ajpdis-1345	156	1	in	in	ADP
ajpdis-1345	156	2	инновационные	инновационные	NOUN
ajpdis-1345	156	3	геотехнологии	геотехнологии	PROPN
ajpdis-1345	156	4	при	при	PROPN
ajpdis-1345	156	5	разработке	разработке	PROPN
ajpdis-1345	156	6	рудных	рудных	PROPN
ajpdis-1345	156	7	и	и	PROPN
ajpdis-1345	156	8	нерудных	нерудных	PROPN
ajpdis-1345	156	9	месторождений	месторождений	NOUN
ajpdis-1345	156	10	(	(	PUNCT
ajpdis-1345	156	11	pp	pp	ADJ
ajpdis-1345	156	12	.	.	PUNCT
ajpdis-1345	156	13	165	165	NUM
ajpdis-1345	156	14	-	-	SYM
ajpdis-1345	156	15	168	168	NUM
ajpdis-1345	156	16	)	)	PUNCT
ajpdis-1345	156	17	.	.	PUNCT
ajpdis-1345	157	1	25	25	NUM
ajpdis-1345	157	2	.	.	PUNCT
ajpdis-1345	157	3	турсунов	турсунов	NOUN
ajpdis-1345	157	4	,	,	PUNCT
ajpdis-1345	157	5	б	б	NOUN
ajpdis-1345	157	6	.	.	PUNCT
ajpdis-1345	158	1	ж	ж	X
ajpdis-1345	158	2	.	.	PROPN
ajpdis-1345	158	3	,	,	PUNCT
ajpdis-1345	158	4	ботиров	ботиров	PROPN
ajpdis-1345	158	5	,	,	PUNCT
ajpdis-1345	158	6	т	т	PROPN
ajpdis-1345	158	7	.	.	PUNCT
ajpdis-1345	158	8	в	в	PROPN
ajpdis-1345	158	9	.	.	PROPN
ajpdis-1345	158	10	,	,	PUNCT
ajpdis-1345	158	11	ташпулатов	ташпулатов	PROPN
ajpdis-1345	158	12	,	,	PUNCT
ajpdis-1345	158	13	д	д	NOUN
ajpdis-1345	158	14	.	.	PUNCT
ajpdis-1345	158	15	к	к	PROPN
ajpdis-1345	158	16	.	.	PROPN
ajpdis-1345	158	17	,	,	PUNCT
ajpdis-1345	158	18	&	&	CCONJ
ajpdis-1345	158	19	хайруллаев	хайруллаев	NOUN
ajpdis-1345	158	20	,	,	PUNCT
ajpdis-1345	158	21	б	б	NOUN
ajpdis-1345	158	22	.	.	PUNCT
ajpdis-1345	158	23	и	и	PROPN
ajpdis-1345	158	24	.	.	PUNCT
ajpdis-1345	159	1	(	(	PUNCT
ajpdis-1345	159	2	2018	2018	NUM
ajpdis-1345	159	3	)	)	PUNCT
ajpdis-1345	159	4	.	.	PUNCT
ajpdis-1345	160	1	перспектива	перспектива	VERB
ajpdis-1345	160	2	применения	применения	ADJ
ajpdis-1345	160	3	оптимального	оптимального	PROPN
ajpdis-1345	160	4	процесса	процесса	PROPN
ajpdis-1345	160	5	рудоотделения	рудоотделения	NOUN
ajpdis-1345	160	6	в	в	PROPN
ajpdis-1345	160	7	карьере	карьере	X
ajpdis-1345	160	8	мурунтау	мурунтау	NOUN
ajpdis-1345	160	9	.	.	PUNCT
ajpdis-1345	161	1	in	in	ADP
ajpdis-1345	161	2	инновационные	инновационные	NOUN
ajpdis-1345	161	3	геотехнологии	геотехнологии	PROPN
ajpdis-1345	161	4	при	при	PROPN
ajpdis-1345	161	5	разработке	разработке	PROPN
ajpdis-1345	161	6	рудных	рудных	PROPN
ajpdis-1345	161	7	и	и	PROPN
ajpdis-1345	161	8	нерудных	нерудных	PROPN
ajpdis-1345	161	9	месторождений	месторождений	NOUN
ajpdis-1345	161	10	(	(	PUNCT
ajpdis-1345	161	11	pp	pp	ADJ
ajpdis-1345	161	12	.	.	PUNCT
ajpdis-1345	161	13	160	160	NUM
ajpdis-1345	161	14	-	-	SYM
ajpdis-1345	161	15	164	164	NUM
ajpdis-1345	161	16	)	)	PUNCT
ajpdis-1345	161	17	.	.	PUNCT
ajpdis-1345	161	18	http://www/	http://www/	PUNCT