id	sid	tid	token	lemma	pos
ajpdis-1536	1	1	302	302	NUM
ajpdis-1536	1	2	-	-	SYM
ajpdis-1536	1	3	311	311	NUM
ajpdis-1536	1	4	source	source	NOUN
ajpdis-1536	1	5	and	and	CCONJ
ajpdis-1536	1	6	start	start	VERB
ajpdis-1536	1	7	in	in	ADP
ajpdis-1536	1	8	decreasal	decreasal	ADJ
ajpdis-1536	1	9	equations	equation	NOUN
ajpdis-1536	1	10	'	'	PART
ajpdis-1536	1	11	correct	correct	ADJ
ajpdis-1536	1	12	by	by	ADP
ajpdis-1536	1	13	identifying	identify	VERB
ajpdis-1536	1	14	the	the	DET
ajpdis-1536	1	15	inner	inner	ADJ
ajpdis-1536	1	16	302	302	NUM
ajpdis-1536	1	17	american	american	ADJ
ajpdis-1536	1	18	journal	journal	NOUN
ajpdis-1536	1	19	of	of	ADP
ajpdis-1536	1	20	public	public	ADJ
ajpdis-1536	1	21	diplomacy	diplomacy	NOUN
ajpdis-1536	1	22	and	and	CCONJ
ajpdis-1536	1	23	international	international	ADJ
ajpdis-1536	1	24	studies	study	NOUN
ajpdis-1536	1	25	www.grnjournal.us	www.grnjournal.us	PROPN
ajpdis-1536	1	26	american	american	ADJ
ajpdis-1536	1	27	journal	journal	NOUN
ajpdis-1536	1	28	of	of	ADP
ajpdis-1536	1	29	public	public	ADJ
ajpdis-1536	1	30	diplomacy	diplomacy	NOUN
ajpdis-1536	1	31	and	and	CCONJ
ajpdis-1536	1	32	international	international	ADJ
ajpdis-1536	1	33	studies	study	NOUN
ajpdis-1536	1	34	volume	volume	NOUN
ajpdis-1536	1	35	01	01	NUM
ajpdis-1536	1	36	,	,	PUNCT
ajpdis-1536	1	37	issue	issue	NOUN
ajpdis-1536	1	38	09	09	NUM
ajpdis-1536	1	39	,	,	PUNCT
ajpdis-1536	1	40	2023	2023	NUM
ajpdis-1536	1	41	issn	issn	X
ajpdis-1536	1	42	(	(	PUNCT
ajpdis-1536	1	43	e	e	NOUN
ajpdis-1536	1	44	):	):	PUNCT
ajpdis-1536	1	45	2993	2993	NUM
ajpdis-1536	1	46	-	-	SYM
ajpdis-1536	1	47	2157	2157	NUM
ajpdis-1536	1	48	source	source	NOUN
ajpdis-1536	1	49	and	and	CCONJ
ajpdis-1536	1	50	start	start	VERB
ajpdis-1536	1	51	in	in	ADP
ajpdis-1536	1	52	decreasal	decreasal	ADJ
ajpdis-1536	1	53	equations	equation	NOUN
ajpdis-1536	1	54	'	'	PART
ajpdis-1536	1	55	correct	correct	ADJ
ajpdis-1536	1	56	by	by	ADP
ajpdis-1536	1	57	identifying	identify	VERB
ajpdis-1536	1	58	the	the	DET
ajpdis-1536	1	59	inner	inner	ADJ
ajpdis-1536	1	60	function	function	NOUN
ajpdis-1536	1	61	problems	problem	NOUN
ajpdis-1536	1	62	latipova	latipova	PROPN
ajpdis-1536	1	63	shahnoza	shahnoza	PROPN
ajpdis-1536	1	64	salim	salim	PROPN
ajpdis-1536	1	65	daughter	daughter	PROPN
ajpdis-1536	1	66	asia	asia	PROPN
ajpdis-1536	1	67	international	international	PROPN
ajpdis-1536	1	68	university	university	PROPN
ajpdis-1536	1	69	general	general	ADJ
ajpdis-1536	1	70	technician	technician	ADJ
ajpdis-1536	1	71	department	department	PROPN
ajpdis-1536	1	72	of	of	ADP
ajpdis-1536	1	73	sciences	sciences	PROPN
ajpdis-1536	1	74	teacher	teacher	NOUN
ajpdis-1536	1	75	slatipova543@gmail.com	slatipova543@gmail.com	X
ajpdis-1536	2	1	abstract	abstract	NOUN
ajpdis-1536	2	2	:	:	PUNCT
ajpdis-1536	2	3	this	this	DET
ajpdis-1536	2	4	article	article	NOUN
ajpdis-1536	2	5	caputo	caputo	PROPN
ajpdis-1536	2	6	in	in	ADP
ajpdis-1536	2	7	the	the	DET
ajpdis-1536	2	8	sense	sense	NOUN
ajpdis-1536	2	9	of	of	ADP
ajpdis-1536	2	10	fraction	fraction	NOUN
ajpdis-1536	2	11	in	in	ADP
ajpdis-1536	2	12	order	order	NOUN
ajpdis-1536	2	13	private	private	ADJ
ajpdis-1536	2	14	derivative	derivative	ADJ
ajpdis-1536	2	15	differential	differential	NOUN
ajpdis-1536	2	16	equation	equation	NOUN
ajpdis-1536	2	17	for	for	ADP
ajpdis-1536	2	18	mixed	mixed	ADJ
ajpdis-1536	2	19	issue	issue	NOUN
ajpdis-1536	2	20	we	we	PRON
ajpdis-1536	2	21	learn	learn	VERB
ajpdis-1536	2	22	this	this	PRON
ajpdis-1536	2	23	in	in	ADP
ajpdis-1536	2	24	the	the	DET
ajpdis-1536	2	25	article	article	NOUN
ajpdis-1536	2	26	right	right	ADJ
ajpdis-1536	2	27	issue	issue	NOUN
ajpdis-1536	2	28	solve	solve	VERB
ajpdis-1536	2	29	and	and	CCONJ
ajpdis-1536	2	30	in	in	ADP
ajpdis-1536	2	31	caputo	caputo	PROPN
ajpdis-1536	2	32	's	's	PART
ajpdis-1536	2	33	sense	sense	NOUN
ajpdis-1536	2	34	show	show	VERB
ajpdis-1536	2	35	that	that	SCONJ
ajpdis-1536	2	36	the	the	DET
ajpdis-1536	2	37	solution	solution	NOUN
ajpdis-1536	2	38	of	of	ADP
ajpdis-1536	2	39	the	the	DET
ajpdis-1536	2	40	partial	partial	ADJ
ajpdis-1536	2	41	differential	differential	ADJ
ajpdis-1536	2	42	equation	equation	NOUN
ajpdis-1536	2	43	of	of	ADP
ajpdis-1536	2	44	fractional	fractional	ADJ
ajpdis-1536	2	45	order	order	NOUN
ajpdis-1536	2	46	exists	exist	VERB
ajpdis-1536	2	47	and	and	CCONJ
ajpdis-1536	2	48	is	be	AUX
ajpdis-1536	2	49	unique	unique	ADJ
ajpdis-1536	2	50	,	,	PUNCT
ajpdis-1536	2	51	and	and	CCONJ
ajpdis-1536	2	52	it	it	PRON
ajpdis-1536	2	53	is	be	AUX
ajpdis-1536	2	54	intended	intend	VERB
ajpdis-1536	2	55	to	to	PART
ajpdis-1536	2	56	obtain	obtain	VERB
ajpdis-1536	2	57	results	result	NOUN
ajpdis-1536	2	58	related	relate	VERB
ajpdis-1536	2	59	to	to	ADP
ajpdis-1536	2	60	the	the	DET
ajpdis-1536	2	61	correct	correct	ADJ
ajpdis-1536	2	62	problem	problem	NOUN
ajpdis-1536	2	63	of	of	ADP
ajpdis-1536	2	64	determining	determine	VERB
ajpdis-1536	2	65	the	the	DET
ajpdis-1536	2	66	source	source	NOUN
ajpdis-1536	2	67	function	function	NOUN
ajpdis-1536	2	68	caught	catch	VERB
ajpdis-1536	2	69	.	.	PUNCT
ajpdis-1536	3	1	keywords	keyword	NOUN
ajpdis-1536	3	2	:	:	PUNCT
ajpdis-1536	3	3	caputo	caputo	PROPN
ajpdis-1536	3	4	derivative	derivative	ADJ
ajpdis-1536	3	5	differential	differential	NOUN
ajpdis-1536	3	6	equation	equation	NOUN
ajpdis-1536	3	7	,	,	PUNCT
ajpdis-1536	3	8	exact	exact	ADJ
ajpdis-1536	3	9	problem	problem	NOUN
ajpdis-1536	3	10	,	,	PUNCT
ajpdis-1536	3	11	inverse	inverse	NOUN
ajpdis-1536	3	12	problem	problem	NOUN
ajpdis-1536	3	13	,	,	PUNCT
ajpdis-1536	3	14	cauchy	cauchy	ADJ
ajpdis-1536	3	15	issue	issue	NOUN
ajpdis-1536	3	16	,	,	PUNCT
ajpdis-1536	3	17	a	a	DET
ajpdis-1536	3	18	fixed	fix	VERB
ajpdis-1536	3	19	number	number	NOUN
ajpdis-1536	3	20	.	.	PUNCT
ajpdis-1536	4	1	let	let	VERB
ajpdis-1536	4	2	's	us	PRON
ajpdis-1536	4	3	say	say	VERB
ajpdis-1536	4	4	so	so	ADV
ajpdis-1536	4	5	.	.	PUNCT
ajpdis-1536	5	1	we	we	PRON
ajpdis-1536	5	2	are	be	AUX
ajpdis-1536	5	3	following	follow	VERB
ajpdis-1536	5	4	(	(	PUNCT
ajpdis-1536	5	5	1.1	1.1	NUM
ajpdis-1536	5	6	)	)	PUNCT
ajpdis-1536	5	7	of	of	ADP
ajpdis-1536	5	8	a	a	DET
ajpdis-1536	5	9	fractional	fractional	ADJ
ajpdis-1536	5	10	equation	equation	NOUN
ajpdis-1536	5	11	in	in	ADP
ajpdis-1536	5	12	the	the	DET
ajpdis-1536	5	13	caputo	caputo	PROPN
ajpdis-1536	5	14	sense	sense	NOUN
ajpdis-1536	5	15	,	,	PUNCT
ajpdis-1536	5	16	(	(	PUNCT
ajpdis-1536	5	17	1.2	1.2	NUM
ajpdis-1536	5	18	)	)	PUNCT
ajpdis-1536	5	19	the	the	DET
ajpdis-1536	5	20	initial	initial	ADJ
ajpdis-1536	5	21	condition	condition	NOUN
ajpdis-1536	5	22	and	and	CCONJ
ajpdis-1536	5	23	the	the	DET
ajpdis-1536	5	24	following	follow	VERB
ajpdis-1536	5	25	,	,	PUNCT
ajpdis-1536	5	26	(	(	PUNCT
ajpdis-1536	5	27	1.3	1.3	NUM
ajpdis-1536	5	28	)	)	PUNCT
ajpdis-1536	5	29	,	,	PUNCT
ajpdis-1536	5	30	(	(	PUNCT
ajpdis-1536	5	31	1.4	1.4	NUM
ajpdis-1536	5	32	)	)	PUNCT
ajpdis-1536	5	33	a	a	DET
ajpdis-1536	5	34	solution	solution	NOUN
ajpdis-1536	5	35	that	that	PRON
ajpdis-1536	5	36	satisfies	satisfy	VERB
ajpdis-1536	5	37	the	the	DET
ajpdis-1536	5	38	boundary	boundary	ADJ
ajpdis-1536	5	39	conditions	condition	NOUN
ajpdis-1536	5	40	to	to	PART
ajpdis-1536	5	41	find	find	VERB
ajpdis-1536	5	42	the	the	DET
ajpdis-1536	5	43	issue	issue	NOUN
ajpdis-1536	5	44	let	let	VERB
ajpdis-1536	5	45	's	us	PRON
ajpdis-1536	5	46	see	see	VERB
ajpdis-1536	5	47	,	,	PUNCT
ajpdis-1536	5	48	here	here	ADV
ajpdis-1536	5	49	,	,	PUNCT
ajpdis-1536	5	50	–	–	PUNCT
ajpdis-1536	5	51	the	the	DET
ajpdis-1536	5	52	given	give	VERB
ajpdis-1536	5	53	functions	function	NOUN
ajpdis-1536	5	54	,	,	PUNCT
ajpdis-1536	5	55	–	–	PUNCT
ajpdis-1536	5	56	a	a	DET
ajpdis-1536	5	57	constant	constant	ADJ
ajpdis-1536	5	58	number	number	NOUN
ajpdis-1536	5	59	,	,	PUNCT
ajpdis-1536	5	60	–	–	PUNCT
ajpdis-1536	5	61	a	a	DET
ajpdis-1536	5	62	fixed	fixed	ADJ
ajpdis-1536	5	63	number	number	NOUN
ajpdis-1536	5	64	,	,	PUNCT
ajpdis-1536	5	65	through	through	ADP
ajpdis-1536	5	66	in	in	ADP
ajpdis-1536	5	67	caputo	caputo	PROPN
ajpdis-1536	5	68	's	's	PART
ajpdis-1536	5	69	sense	sense	NOUN
ajpdis-1536	5	70	an	an	DET
ajpdis-1536	5	71	ordered	order	VERB
ajpdis-1536	5	72	fraction	fraction	NOUN
ajpdis-1536	5	73	is	be	AUX
ajpdis-1536	5	74	defined	define	VERB
ajpdis-1536	5	75	as	as	ADP
ajpdis-1536	5	76	an	an	DET
ajpdis-1536	5	77	ordered	ordered	ADJ
ajpdis-1536	5	78	derivative	derivative	NOUN
ajpdis-1536	5	79	.	.	PUNCT
ajpdis-1536	6	1	(	(	PUNCT
ajpdis-1536	6	2	1.1	1.1	NUM
ajpdis-1536	6	3	)	)	PUNCT
ajpdis-1536	6	4	(	(	PUNCT
ajpdis-1536	6	5	1.4	1.4	NUM
ajpdis-1536	6	6	)	)	PUNCT
ajpdis-1536	6	7	is	be	AUX
ajpdis-1536	6	8	called	call	VERB
ajpdis-1536	6	9	a	a	DET
ajpdis-1536	6	10	correct	correct	ADJ
ajpdis-1536	6	11	problem	problem	NOUN
ajpdis-1536	6	12	.	.	PUNCT
ajpdis-1536	7	1	3.1.1	3.1.1	NUM
ajpdis-1536	7	2	definition	definition	NOUN
ajpdis-1536	7	3	.	.	PUNCT
ajpdis-1536	8	1	if	if	SCONJ
ajpdis-1536	8	2	function	function	VERB
ajpdis-1536	8	3	the	the	DET
ajpdis-1536	8	4	following	following	NOUN
ajpdis-1536	8	5	,	,	PUNCT
ajpdis-1536	8	6	to	to	ADP
ajpdis-1536	8	7	the	the	DET
ajpdis-1536	8	8	property	property	NOUN
ajpdis-1536	8	9	have	have	AUX
ajpdis-1536	8	10	is	be	AUX
ajpdis-1536	8	11	,	,	PUNCT
ajpdis-1536	8	12	all	all	DET
ajpdis-1536	8	13	conditions	condition	NOUN
ajpdis-1536	8	14	of	of	ADP
ajpdis-1536	8	15	(	(	PUNCT
ajpdis-1536	8	16	1.1	1.1	NUM
ajpdis-1536	8	17	)	)	PUNCT
ajpdis-1536	8	18	(	(	PUNCT
ajpdis-1536	8	19	1.4	1.4	NUM
ajpdis-1536	8	20	)	)	PUNCT
ajpdis-1536	8	21	.	.	PUNCT
ajpdis-1536	9	1	if	if	SCONJ
ajpdis-1536	9	2	satisfied	satisfied	ADJ
ajpdis-1536	9	3	,	,	PUNCT
ajpdis-1536	9	4	then	then	ADV
ajpdis-1536	9	5	this	this	PRON
ajpdis-1536	9	6	to	to	ADP
ajpdis-1536	9	7	the	the	DET
ajpdis-1536	9	8	function	function	NOUN
ajpdis-1536	9	9	(	(	PUNCT
ajpdis-1536	9	10	1.1	1.1	NUM
ajpdis-1536	9	11	)	)	PUNCT
ajpdis-1536	9	12	(	(	PUNCT
ajpdis-1536	9	13	1.4	1.4	NUM
ajpdis-1536	9	14	)	)	PUNCT
ajpdis-1536	9	15	of	of	ADP
ajpdis-1536	9	16	the	the	DET
ajpdis-1536	9	17	problem	problem	NOUN
ajpdis-1536	9	18	the	the	DET
ajpdis-1536	9	19	solution	solution	NOUN
ajpdis-1536	9	20	is	be	AUX
ajpdis-1536	9	21	called	call	VERB
ajpdis-1536	9	22	by	by	ADP
ajpdis-1536	9	23	finding	find	VERB
ajpdis-1536	9	24	a	a	DET
ajpdis-1536	9	25	solution	solution	NOUN
ajpdis-1536	9	26	to	to	ADP
ajpdis-1536	9	27	this	this	DET
ajpdis-1536	9	28	exact	exact	ADJ
ajpdis-1536	9	29	problem	problem	NOUN
ajpdis-1536	9	30	in	in	ADP
ajpdis-1536	9	31	the	the	DET
ajpdis-1536	9	32	master	master	NOUN
ajpdis-1536	9	33	's	's	PART
ajpdis-1536	9	34	thesis	thesis	NOUN
ajpdis-1536	9	35	,	,	PUNCT
ajpdis-1536	9	36	the	the	DET
ajpdis-1536	9	37	inverse	inverse	ADJ
ajpdis-1536	9	38	problem	problem	NOUN
ajpdis-1536	9	39	of	of	ADP
ajpdis-1536	9	40	finding	find	VERB
ajpdis-1536	9	41	the	the	DET
ajpdis-1536	9	42	source	source	NOUN
ajpdis-1536	9	43	function	function	NOUN
ajpdis-1536	9	44	is	be	AUX
ajpdis-1536	9	45	also	also	ADV
ajpdis-1536	9	46	studied	study	VERB
ajpdis-1536	9	47	.	.	PUNCT
ajpdis-1536	9	48	0	0	NUM
ajpdis-1536	10	1	1r	1r	NUM
ajpdis-1536	10	2	<	<	X
ajpdis-1536	10	3	<	<	X
ajpdis-1536	10	4	2	2	NUM
ajpdis-1536	10	5	(	(	PUNCT
ajpdis-1536	10	6	,	,	PUNCT
ajpdis-1536	10	7	)	)	PUNCT
ajpdis-1536	10	8	(	(	PUNCT
ajpdis-1536	10	9	,	,	PUNCT
ajpdis-1536	10	10	)	)	PUNCT
ajpdis-1536	10	11	=	=	SYM
ajpdis-1536	10	12	(	(	PUNCT
ajpdis-1536	10	13	)	)	PUNCT
ajpdis-1536	10	14	,	,	PUNCT
ajpdis-1536	10	15	0	0	NUM
ajpdis-1536	10	16	,	,	PUNCT
ajpdis-1536	10	17	0	0	NUM
ajpdis-1536	10	18	<	<	X
ajpdis-1536	10	19	;	;	PUNCT
ajpdis-1536	10	20	t	t	PROPN
ajpdis-1536	10	21	xxd	xxd	PROPN
ajpdis-1536	10	22	u	u	PROPN
ajpdis-1536	10	23	x	x	PROPN
ajpdis-1536	10	24	t	t	PROPN
ajpdis-1536	10	25	a	a	DET
ajpdis-1536	10	26	u	u	NOUN
ajpdis-1536	10	27	x	x	PROPN
ajpdis-1536	10	28	t	t	NOUN
ajpdis-1536	10	29	f	f	X
ajpdis-1536	10	30	x	x	X
ajpdis-1536	10	31	x	x	PUNCT
ajpdis-1536	10	32	l	l	NOUN
ajpdis-1536	10	33	t	t	PROPN
ajpdis-1536	10	34	tr	tr	VERB
ajpdis-1536	10	35	<	<	X
ajpdis-1536	10	36	<	<	X
ajpdis-1536	10	37	<	<	X
ajpdis-1536	10	38	(	(	PUNCT
ajpdis-1536	10	39	,	,	PUNCT
ajpdis-1536	10	40	0	0	NUM
ajpdis-1536	10	41	)	)	PUNCT
ajpdis-1536	10	42	=	=	PRON
ajpdis-1536	10	43	(	(	PUNCT
ajpdis-1536	10	44	)	)	PUNCT
ajpdis-1536	10	45	,	,	PUNCT
ajpdis-1536	10	46	0u	0u	ADJ
ajpdis-1536	10	47	x	x	SYM
ajpdis-1536	10	48	x	x	SYM
ajpdis-1536	10	49	x	x	SYM
ajpdis-1536	10	50	lj+	lj+	ADJ
ajpdis-1536	10	51	£	£	SYM
ajpdis-1536	10	52	£	£	NOUN
ajpdis-1536	10	53	(	(	PUNCT
ajpdis-1536	10	54	0	0	NUM
ajpdis-1536	10	55	,	,	PUNCT
ajpdis-1536	10	56	)	)	PUNCT
ajpdis-1536	10	57	0	0	NUM
ajpdis-1536	10	58	,	,	PUNCT
ajpdis-1536	10	59	0u	0u	PROPN
ajpdis-1536	10	60	t	t	PROPN
ajpdis-1536	10	61	t	t	PROPN
ajpdis-1536	10	62	t=	t=	NOUN
ajpdis-1536	10	63	£	£	SYM
ajpdis-1536	10	64	£	£	NOUN
ajpdis-1536	10	65	(	(	PUNCT
ajpdis-1536	10	66	,	,	PUNCT
ajpdis-1536	10	67	)	)	PUNCT
ajpdis-1536	10	68	0	0	NUM
ajpdis-1536	10	69	,	,	PUNCT
ajpdis-1536	10	70	0u	0u	ADJ
ajpdis-1536	10	71	l	l	PROPN
ajpdis-1536	10	72	t	t	PROPN
ajpdis-1536	10	73	t	t	X
ajpdis-1536	10	74	t=	t=	NOUN
ajpdis-1536	10	75	£	£	SYM
ajpdis-1536	10	76	£	£	PROPN
ajpdis-1536	10	77	(	(	PUNCT
ajpdis-1536	10	78	)	)	PUNCT
ajpdis-1536	10	79	xj	xj	PROPN
ajpdis-1536	10	80	(	(	PUNCT
ajpdis-1536	10	81	)	)	PUNCT
ajpdis-1536	10	82	f	f	X
ajpdis-1536	10	83	x	x	PUNCT
ajpdis-1536	10	84	a	a	DET
ajpdis-1536	10	85	t	t	NOUN
ajpdis-1536	10	86	td	td	NOUN
ajpdis-1536	10	87	r	r	NOUN
ajpdis-1536	10	88	r	r	NOUN
ajpdis-1536	10	89	(	(	PUNCT
ajpdis-1536	10	90	)	)	PUNCT
ajpdis-1536	10	91	(	(	PUNCT
ajpdis-1536	10	92	,	,	PUNCT
ajpdis-1536	10	93	)	)	PUNCT
ajpdis-1536	11	1	[	[	X
ajpdis-1536	11	2	0	0	NUM
ajpdis-1536	11	3	,	,	PUNCT
ajpdis-1536	11	4	]	]	PUNCT
ajpdis-1536	12	1	[	[	X
ajpdis-1536	12	2	0	0	NUM
ajpdis-1536	12	3	,	,	PUNCT
ajpdis-1536	12	4	]	]	X
ajpdis-1536	12	5	u	u	X
ajpdis-1536	12	6	x	x	X
ajpdis-1536	12	7	t	t	PROPN
ajpdis-1536	12	8	c	c	NOUN
ajpdis-1536	12	9	l	l	NOUN
ajpdis-1536	12	10	tî	tî	ADV
ajpdis-1536	12	11	´	´	NOUN
ajpdis-1536	12	12	(	(	PUNCT
ajpdis-1536	12	13	,	,	PUNCT
ajpdis-1536	12	14	)	)	PUNCT
ajpdis-1536	12	15	td	td	NOUN
ajpdis-1536	12	16	u	u	NOUN
ajpdis-1536	12	17	x	x	PUNCT
ajpdis-1536	12	18	tr	tr	PUNCT
ajpdis-1536	12	19	(	(	PUNCT
ajpdis-1536	12	20	)	)	PUNCT
ajpdis-1536	12	21	(	(	PUNCT
ajpdis-1536	12	22	,	,	PUNCT
ajpdis-1536	12	23	)	)	PUNCT
ajpdis-1536	12	24	(	(	PUNCT
ajpdis-1536	12	25	0	0	NUM
ajpdis-1536	12	26	,	,	PUNCT
ajpdis-1536	12	27	)	)	PUNCT
ajpdis-1536	12	28	(	(	PUNCT
ajpdis-1536	12	29	0,xxu	0,xxu	PROPN
ajpdis-1536	12	30	x	x	SYM
ajpdis-1536	12	31	t	t	PROPN
ajpdis-1536	12	32	c	c	PROPN
ajpdis-1536	12	33	l	l	NOUN
ajpdis-1536	12	34	tî	tî	ADV
ajpdis-1536	12	35	´	´	NOUN
ajpdis-1536	12	36	(	(	PUNCT
ajpdis-1536	12	37	,	,	PUNCT
ajpdis-1536	12	38	)	)	PUNCT
ajpdis-1536	12	39	u	u	NOUN
ajpdis-1536	12	40	x	x	PROPN
ajpdis-1536	12	41	t	t	PROPN
ajpdis-1536	12	42	303	303	NUM
ajpdis-1536	12	43	american	american	ADJ
ajpdis-1536	12	44	journal	journal	PROPN
ajpdis-1536	12	45	of	of	ADP
ajpdis-1536	12	46	public	public	ADJ
ajpdis-1536	12	47	diplomacy	diplomacy	NOUN
ajpdis-1536	12	48	and	and	CCONJ
ajpdis-1536	12	49	international	international	ADJ
ajpdis-1536	12	50	studies	study	NOUN
ajpdis-1536	12	51	www.grnjournal.us	www.grnjournal.us	PROPN
ajpdis-1536	12	52	let	let	VERB
ajpdis-1536	12	53	's	us	PRON
ajpdis-1536	12	54	assume	assume	VERB
ajpdis-1536	12	55	that	that	SCONJ
ajpdis-1536	12	56	in	in	ADP
ajpdis-1536	12	57	problem	problem	NOUN
ajpdis-1536	12	58	(	(	PUNCT
ajpdis-1536	12	59	1.1	1.1	NUM
ajpdis-1536	12	60	)	)	PUNCT
ajpdis-1536	12	61	(	(	PUNCT
ajpdis-1536	12	62	1.4	1.4	NUM
ajpdis-1536	12	63	)	)	PUNCT
ajpdis-1536	12	64	in	in	ADP
ajpdis-1536	12	65	addition	addition	NOUN
ajpdis-1536	12	66	to	to	ADP
ajpdis-1536	12	67	the	the	DET
ajpdis-1536	12	68	function	function	NOUN
ajpdis-1536	12	69	,	,	PUNCT
ajpdis-1536	12	70	the	the	DET
ajpdis-1536	12	71	function	function	NOUN
ajpdis-1536	12	72	is	be	AUX
ajpdis-1536	12	73	also	also	ADV
ajpdis-1536	12	74	unknown	unknown	ADJ
ajpdis-1536	12	75	.	.	PUNCT
ajpdis-1536	13	1	to	to	PART
ajpdis-1536	13	2	solve	solve	VERB
ajpdis-1536	13	3	this	this	DET
ajpdis-1536	13	4	problem	problem	NOUN
ajpdis-1536	13	5	we	we	PRON
ajpdis-1536	13	6	need	need	VERB
ajpdis-1536	13	7	an	an	DET
ajpdis-1536	13	8	additional	additional	ADJ
ajpdis-1536	13	9	condition	condition	NOUN
ajpdis-1536	13	10	.	.	PUNCT
ajpdis-1536	14	1	we	we	PRON
ajpdis-1536	14	2	get	get	VERB
ajpdis-1536	14	3	the	the	DET
ajpdis-1536	14	4	following	follow	VERB
ajpdis-1536	14	5	condition	condition	NOUN
ajpdis-1536	14	6	as	as	ADP
ajpdis-1536	14	7	an	an	DET
ajpdis-1536	14	8	additional	additional	ADJ
ajpdis-1536	14	9	condition	condition	NOUN
ajpdis-1536	14	10	:	:	PUNCT
ajpdis-1536	14	11	.	.	PUNCT
ajpdis-1536	15	1	(	(	PUNCT
ajpdis-1536	15	2	1.5	1.5	NUM
ajpdis-1536	15	3	)	)	PUNCT
ajpdis-1536	15	4	in	in	ADP
ajpdis-1536	15	5	this	this	DET
ajpdis-1536	15	6	problem	problem	NOUN
ajpdis-1536	15	7	(	(	PUNCT
ajpdis-1536	15	8	1.1	1.1	NUM
ajpdis-1536	15	9	)	)	PUNCT
ajpdis-1536	15	10	(	(	PUNCT
ajpdis-1536	15	11	1.5	1.5	NUM
ajpdis-1536	15	12	)	)	PUNCT
ajpdis-1536	15	13	.	.	PUNCT
ajpdis-1536	16	1	and	and	CCONJ
ajpdis-1536	16	2	to	to	ADP
ajpdis-1536	16	3	the	the	DET
ajpdis-1536	16	4	problem	problem	NOUN
ajpdis-1536	16	5	of	of	ADP
ajpdis-1536	16	6	finding	find	VERB
ajpdis-1536	16	7	functions	function	NOUN
ajpdis-1536	16	8	by	by	ADP
ajpdis-1536	16	9	finding	find	VERB
ajpdis-1536	16	10	the	the	DET
ajpdis-1536	16	11	right	right	ADJ
ajpdis-1536	16	12	side	side	NOUN
ajpdis-1536	16	13	of	of	ADP
ajpdis-1536	16	14	the	the	DET
ajpdis-1536	16	15	equation	equation	NOUN
ajpdis-1536	16	16	is	be	AUX
ajpdis-1536	16	17	called	call	VERB
ajpdis-1536	16	18	an	an	DET
ajpdis-1536	16	19	inverse	inverse	NOUN
ajpdis-1536	16	20	problem	problem	NOUN
ajpdis-1536	16	21	.	.	PUNCT
ajpdis-1536	17	1	the	the	DET
ajpdis-1536	17	2	right	right	ADJ
ajpdis-1536	17	3	problem	problem	NOUN
ajpdis-1536	17	4	the	the	DET
ajpdis-1536	17	5	solution	solution	NOUN
ajpdis-1536	17	6	of	of	ADP
ajpdis-1536	17	7	the	the	DET
ajpdis-1536	17	8	correct	correct	ADJ
ajpdis-1536	17	9	problem	problem	NOUN
ajpdis-1536	17	10	for	for	ADP
ajpdis-1536	17	11	the	the	DET
ajpdis-1536	17	12	partial	partial	ADJ
ajpdis-1536	17	13	differential	differential	ADJ
ajpdis-1536	17	14	equation	equation	NOUN
ajpdis-1536	17	15	of	of	ADP
ajpdis-1536	17	16	order	order	NOUN
ajpdis-1536	17	17	k	k	X
ajpdis-1536	17	18	is	be	AUX
ajpdis-1536	17	19	shown	show	VERB
ajpdis-1536	17	20	,	,	PUNCT
ajpdis-1536	17	21	that	that	ADV
ajpdis-1536	17	22	is	is	ADV
ajpdis-1536	17	23	,	,	PUNCT
ajpdis-1536	17	24	the	the	DET
ajpdis-1536	17	25	solution	solution	NOUN
ajpdis-1536	17	26	of	of	ADP
ajpdis-1536	17	27	the	the	DET
ajpdis-1536	17	28	correct	correct	ADJ
ajpdis-1536	17	29	problem	problem	NOUN
ajpdis-1536	17	30	(	(	PUNCT
ajpdis-1536	17	31	1.1	1.1	NUM
ajpdis-1536	17	32	)	)	PUNCT
ajpdis-1536	17	33	(	(	PUNCT
ajpdis-1536	17	34	1.4	1.4	NUM
ajpdis-1536	17	35	)	)	PUNCT
ajpdis-1536	17	36	exists	exist	VERB
ajpdis-1536	17	37	and	and	CCONJ
ajpdis-1536	17	38	is	be	AUX
ajpdis-1536	17	39	proved	prove	VERB
ajpdis-1536	17	40	to	to	PART
ajpdis-1536	17	41	be	be	AUX
ajpdis-1536	17	42	unique	unique	ADJ
ajpdis-1536	17	43	.	.	PUNCT
ajpdis-1536	18	1	to	to	PART
ajpdis-1536	18	2	solve	solve	VERB
ajpdis-1536	18	3	the	the	DET
ajpdis-1536	18	4	problem	problem	NOUN
ajpdis-1536	18	5	(	(	PUNCT
ajpdis-1536	18	6	1.1	1.1	NUM
ajpdis-1536	18	7	)	)	PUNCT
ajpdis-1536	18	8	(	(	PUNCT
ajpdis-1536	18	9	1.4	1.4	NUM
ajpdis-1536	18	10	)	)	PUNCT
ajpdis-1536	18	11	,	,	PUNCT
ajpdis-1536	18	12	we	we	PRON
ajpdis-1536	18	13	prove	prove	VERB
ajpdis-1536	18	14	the	the	DET
ajpdis-1536	18	15	following	follow	VERB
ajpdis-1536	18	16	theorem	theorem	VERB
ajpdis-1536	18	17	.	.	PUNCT
ajpdis-1536	18	18	theorem	theorem	VERB
ajpdis-1536	18	19	1.1	1.1	NUM
ajpdis-1536	18	20	.	.	PUNCT
ajpdis-1536	18	21	,	,	PUNCT
ajpdis-1536	18	22	functions	function	NOUN
ajpdis-1536	18	23	continuous	continuous	ADJ
ajpdis-1536	18	24	,	,	PUNCT
ajpdis-1536	18	25	fragmented	fragmented	ADJ
ajpdis-1536	18	26	continuous	continuous	ADJ
ajpdis-1536	18	27	to	to	ADP
ajpdis-1536	18	28	the	the	DET
ajpdis-1536	18	29	derivative	derivative	NOUN
ajpdis-1536	18	30	have	have	AUX
ajpdis-1536	18	31	and	and	CCONJ
ajpdis-1536	18	32	,	,	PUNCT
ajpdis-1536	18	33	conditions	condition	NOUN
ajpdis-1536	18	34	satisfactory	satisfactory	ADJ
ajpdis-1536	18	35	be	be	AUX
ajpdis-1536	18	36	functions	function	NOUN
ajpdis-1536	18	37	.	.	PUNCT
ajpdis-1536	19	1	_	_	PUNCT
ajpdis-1536	19	2	then	then	ADV
ajpdis-1536	19	3	the	the	DET
ajpdis-1536	19	4	solution	solution	NOUN
ajpdis-1536	19	5	of	of	ADP
ajpdis-1536	19	6	problem	problem	NOUN
ajpdis-1536	19	7	(	(	PUNCT
ajpdis-1536	19	8	1.1	1.1	NUM
ajpdis-1536	19	9	)	)	PUNCT
ajpdis-1536	19	10	(	(	PUNCT
ajpdis-1536	19	11	1.4	1.4	NUM
ajpdis-1536	19	12	)	)	PUNCT
ajpdis-1536	19	13	will	will	AUX
ajpdis-1536	19	14	be	be	AUX
ajpdis-1536	19	15	unique	unique	ADJ
ajpdis-1536	19	16	and	and	CCONJ
ajpdis-1536	19	17	it	it	PRON
ajpdis-1536	19	18	will	will	AUX
ajpdis-1536	19	19	look	look	VERB
ajpdis-1536	19	20	like	like	ADP
ajpdis-1536	19	21	this	this	PRON
ajpdis-1536	19	22	:	:	PUNCT
ajpdis-1536	19	23	.	.	PUNCT
ajpdis-1536	20	1	(	(	PUNCT
ajpdis-1536	20	2	1.6	1.6	NUM
ajpdis-1536	20	3	)	)	PUNCT
ajpdis-1536	20	4	proof	proof	NOUN
ajpdis-1536	20	5	.	.	PUNCT
ajpdis-1536	21	1	theorem	theorem	VERB
ajpdis-1536	21	2	to	to	PART
ajpdis-1536	21	3	prove	prove	VERB
ajpdis-1536	21	4	for	for	ADP
ajpdis-1536	21	5	private	private	ADJ
ajpdis-1536	21	6	derivative	derivative	ADJ
ajpdis-1536	21	7	equations	equation	NOUN
ajpdis-1536	21	8	in	in	ADP
ajpdis-1536	21	9	solving	solve	VERB
ajpdis-1536	21	10	wide	wide	ADV
ajpdis-1536	21	11	spread	spread	VERB
ajpdis-1536	21	12	out	out	ADP
ajpdis-1536	21	13	of	of	ADP
ajpdis-1536	21	14	methods	method	NOUN
ajpdis-1536	21	15	one	one	NUM
ajpdis-1536	21	16	o	o	NOUN
ajpdis-1536	21	17	'	'	PUNCT
ajpdis-1536	21	18	variables	variable	NOUN
ajpdis-1536	21	19	separation	separation	NOUN
ajpdis-1536	21	20	,	,	PUNCT
ajpdis-1536	21	21	that	that	ADV
ajpdis-1536	21	22	is	be	AUX
ajpdis-1536	21	23	_	_	NOUN
ajpdis-1536	21	24	from	from	ADP
ajpdis-1536	21	25	the	the	DET
ajpdis-1536	21	26	fourier	fourier	NOUN
ajpdis-1536	21	27	method	method	NOUN
ajpdis-1536	21	28	_	_	PUNCT
ajpdis-1536	21	29	we	we	PRON
ajpdis-1536	21	30	use	use	VERB
ajpdis-1536	21	31	(	(	PUNCT
ajpdis-1536	21	32	1.1	1.1	NUM
ajpdis-1536	21	33	)	)	PUNCT
ajpdis-1536	21	34	–	–	PUNCT
ajpdis-1536	21	35	(	(	PUNCT
ajpdis-1536	21	36	1.4	1.4	NUM
ajpdis-1536	21	37	)	)	PUNCT
ajpdis-1536	21	38	problem	problem	NOUN
ajpdis-1536	21	39	solution	solution	NOUN
ajpdis-1536	21	40	for	for	ADP
ajpdis-1536	21	41	a	a	DET
ajpdis-1536	21	42	view	view	NOUN
ajpdis-1536	21	43	,	,	PUNCT
ajpdis-1536	21	44	here	here	ADV
ajpdis-1536	21	45	is	be	AUX
ajpdis-1536	21	46	a	a	DET
ajpdis-1536	21	47	function	function	NOUN
ajpdis-1536	21	48	(	(	PUNCT
ajpdis-1536	21	49	1.7	1.7	NUM
ajpdis-1536	21	50	)	)	PUNCT
ajpdis-1536	21	51	(	(	PUNCT
ajpdis-1536	21	52	1.8	1.8	NUM
ajpdis-1536	21	53	)	)	PUNCT
ajpdis-1536	21	54	(	(	PUNCT
ajpdis-1536	21	55	1.9	1.9	NUM
ajpdis-1536	21	56	)	)	PUNCT
ajpdis-1536	21	57	(	(	PUNCT
ajpdis-1536	21	58	1.10	1.10	NUM
ajpdis-1536	21	59	)	)	PUNCT
ajpdis-1536	21	60	of	of	ADP
ajpdis-1536	21	61	the	the	DET
ajpdis-1536	21	62	problem	problem	NOUN
ajpdis-1536	21	63	,	,	PUNCT
ajpdis-1536	21	64	and	and	CCONJ
ajpdis-1536	21	65	the	the	DET
ajpdis-1536	21	66	function	function	NOUN
ajpdis-1536	21	67	(	(	PUNCT
ajpdis-1536	21	68	1.11	1.11	NUM
ajpdis-1536	21	69	)	)	PUNCT
ajpdis-1536	21	70	(	(	PUNCT
ajpdis-1536	21	71	1.12	1.12	NUM
ajpdis-1536	21	72	)	)	PUNCT
ajpdis-1536	21	73	(	(	PUNCT
ajpdis-1536	21	74	1.13	1.13	NUM
ajpdis-1536	21	75	)	)	PUNCT
ajpdis-1536	21	76	(	(	PUNCT
ajpdis-1536	21	77	1.14	1.14	NUM
ajpdis-1536	21	78	)	)	PUNCT
ajpdis-1536	21	79	the	the	DET
ajpdis-1536	21	80	solution	solution	NOUN
ajpdis-1536	21	81	to	to	ADP
ajpdis-1536	21	82	the	the	DET
ajpdis-1536	21	83	problem	problem	NOUN
ajpdis-1536	21	84	.	.	PUNCT
ajpdis-1536	22	1	to	to	PART
ajpdis-1536	22	2	solve	solve	VERB
ajpdis-1536	22	3	the	the	DET
ajpdis-1536	22	4	problem	problem	NOUN
ajpdis-1536	22	5	(	(	PUNCT
ajpdis-1536	22	6	1.1	1.1	NUM
ajpdis-1536	22	7	)	)	PUNCT
ajpdis-1536	22	8	(	(	PUNCT
ajpdis-1536	22	9	1.4	1.4	NUM
ajpdis-1536	22	10	)	)	PUNCT
ajpdis-1536	22	11	,	,	PUNCT
ajpdis-1536	22	12	it	it	PRON
ajpdis-1536	22	13	is	be	AUX
ajpdis-1536	22	14	enough	enough	ADJ
ajpdis-1536	22	15	to	to	PART
ajpdis-1536	22	16	solve	solve	VERB
ajpdis-1536	22	17	the	the	DET
ajpdis-1536	22	18	above	above	ADJ
ajpdis-1536	22	19	two	two	NUM
ajpdis-1536	22	20	auxiliary	auxiliary	ADJ
ajpdis-1536	22	21	problems	problem	NOUN
ajpdis-1536	22	22	.	.	PUNCT
ajpdis-1536	23	1	as	as	SCONJ
ajpdis-1536	23	2	we	we	PRON
ajpdis-1536	23	3	have	have	AUX
ajpdis-1536	23	4	seen	see	VERB
ajpdis-1536	23	5	above	above	ADV
ajpdis-1536	23	6	,	,	PUNCT
ajpdis-1536	23	7	in	in	ADP
ajpdis-1536	23	8	this	this	DET
ajpdis-1536	23	9	part	part	NOUN
ajpdis-1536	23	10	,	,	PUNCT
ajpdis-1536	23	11	we	we	PRON
ajpdis-1536	23	12	will	will	AUX
ajpdis-1536	23	13	solve	solve	VERB
ajpdis-1536	23	14	the	the	DET
ajpdis-1536	23	15	problem	problem	NOUN
ajpdis-1536	23	16	(	(	PUNCT
ajpdis-1536	23	17	1.1	1.1	NUM
ajpdis-1536	23	18	)	)	PUNCT
ajpdis-1536	23	19	(	(	PUNCT
ajpdis-1536	23	20	1.4	1.4	NUM
ajpdis-1536	23	21	)	)	PUNCT
ajpdis-1536	23	22	separately	separately	ADV
ajpdis-1536	23	23	for	for	ADP
ajpdis-1536	23	24	two	two	NUM
ajpdis-1536	23	25	cases	case	NOUN
ajpdis-1536	23	26	,	,	PUNCT
ajpdis-1536	23	27	homogeneous	homogeneous	ADJ
ajpdis-1536	23	28	and	and	CCONJ
ajpdis-1536	23	29	non	non	ADJ
ajpdis-1536	23	30	-	-	ADJ
ajpdis-1536	23	31	homogeneous	homogeneous	ADJ
ajpdis-1536	23	32	.	.	PUNCT
ajpdis-1536	24	1	we	we	PRON
ajpdis-1536	24	2	use	use	VERB
ajpdis-1536	24	3	the	the	DET
ajpdis-1536	24	4	fourier	fourier	ADJ
ajpdis-1536	24	5	method	method	NOUN
ajpdis-1536	24	6	to	to	PART
ajpdis-1536	24	7	solve	solve	VERB
ajpdis-1536	24	8	the	the	DET
ajpdis-1536	24	9	problem	problem	NOUN
ajpdis-1536	24	10	(	(	PUNCT
ajpdis-1536	24	11	1.7	1.7	NUM
ajpdis-1536	24	12	)	)	PUNCT
ajpdis-1536	24	13	–	–	PUNCT
ajpdis-1536	24	14	(	(	PUNCT
ajpdis-1536	24	15	1.10	1.10	NUM
ajpdis-1536	24	16	)	)	PUNCT
ajpdis-1536	24	17	.	.	PUNCT
ajpdis-1536	25	1	the	the	DET
ajpdis-1536	25	2	solution	solution	NOUN
ajpdis-1536	25	3	(	(	PUNCT
ajpdis-1536	25	4	,	,	PUNCT
ajpdis-1536	25	5	)	)	PUNCT
ajpdis-1536	25	6	u	u	NOUN
ajpdis-1536	25	7	x	x	PROPN
ajpdis-1536	25	8	t	t	PROPN
ajpdis-1536	25	9	(	(	PUNCT
ajpdis-1536	25	10	)	)	PUNCT
ajpdis-1536	25	11	f	f	NOUN
ajpdis-1536	25	12	x	x	X
ajpdis-1536	25	13	(	(	PUNCT
ajpdis-1536	25	14	,	,	PUNCT
ajpdis-1536	25	15	)	)	PUNCT
ajpdis-1536	25	16	=	=	SYM
ajpdis-1536	25	17	(	(	PUNCT
ajpdis-1536	25	18	)	)	PUNCT
ajpdis-1536	25	19	,	,	PUNCT
ajpdis-1536	25	20	0	0	PUNCT
ajpdis-1536	25	21	<	<	X
ajpdis-1536	25	22	u	u	X
ajpdis-1536	25	23	x	x	X
ajpdis-1536	25	24	x	x	VERB
ajpdis-1536	25	25	tt	tt	PROPN
ajpdis-1536	25	26	y	y	PROPN
ajpdis-1536	25	27	t	t	PROPN
ajpdis-1536	25	28	<	<	X
ajpdis-1536	25	29	(	(	PUNCT
ajpdis-1536	25	30	,	,	PUNCT
ajpdis-1536	25	31	)	)	PUNCT
ajpdis-1536	25	32	u	u	NOUN
ajpdis-1536	25	33	x	x	PROPN
ajpdis-1536	25	34	t	t	PROPN
ajpdis-1536	25	35	(	(	PUNCT
ajpdis-1536	25	36	)	)	PUNCT
ajpdis-1536	25	37	f	f	NOUN
ajpdis-1536	25	38	x	x	SYM
ajpdis-1536	25	39	(	(	PUNCT
ajpdis-1536	25	40	)	)	PUNCT
ajpdis-1536	25	41	xj	xj	PROPN
ajpdis-1536	25	42	(	(	PUNCT
ajpdis-1536	25	43	)	)	PUNCT
ajpdis-1536	25	44	f	f	NOUN
ajpdis-1536	25	45	x	x	SYM
ajpdis-1536	25	46	(	(	PUNCT
ajpdis-1536	25	47	0	0	NUM
ajpdis-1536	25	48	)	)	PUNCT
ajpdis-1536	25	49	(	(	PUNCT
ajpdis-1536	25	50	)	)	PUNCT
ajpdis-1536	25	51	0lj	0lj	NOUN
ajpdis-1536	25	52	j=	j=	NOUN
ajpdis-1536	25	53	=	=	SYM
ajpdis-1536	25	54	(	(	PUNCT
ajpdis-1536	25	55	0	0	NUM
ajpdis-1536	25	56	)	)	PUNCT
ajpdis-1536	25	57	(	(	PUNCT
ajpdis-1536	25	58	)	)	PUNCT
ajpdis-1536	25	59	0f	0f	PROPN
ajpdis-1536	26	1	f	f	PROPN
ajpdis-1536	26	2	l=	l=	ADJ
ajpdis-1536	26	3	=	=	SYM
ajpdis-1536	26	4	2	2	NUM
ajpdis-1536	26	5	,	,	PUNCT
ajpdis-1536	26	6	1	1	NUM
ajpdis-1536	26	7	1	1	NUM
ajpdis-1536	26	8	(	(	PUNCT
ajpdis-1536	26	9	,	,	PUNCT
ajpdis-1536	26	10	)	)	PUNCT
ajpdis-1536	26	11	n	n	CCONJ
ajpdis-1536	26	12	n	n	CCONJ
ajpdis-1536	26	13	nau	nau	PROPN
ajpdis-1536	26	14	x	x	PROPN
ajpdis-1536	26	15	t	t	PROPN
ajpdis-1536	26	16	e	e	X
ajpdis-1536	26	17	t	t	NOUN
ajpdis-1536	26	18	l	l	NOUN
ajpdis-1536	26	19	r	r	NOUN
ajpdis-1536	26	20	r	r	NOUN
ajpdis-1536	26	21	pj	pj	PROPN
ajpdis-1536	27	1	¥	¥	NUM
ajpdis-1536	27	2	=	=	SYM
ajpdis-1536	27	3	é	é	PROPN
ajpdis-1536	27	4	æ	æ	X
ajpdis-1536	27	5	öæ	öæ	ADP
ajpdis-1536	27	6	ö=	ö=	VERB
ajpdis-1536	28	1	+	+	NOUN
ajpdis-1536	28	2	ê	ê	NOUN
ajpdis-1536	28	3	ç	ç	X
ajpdis-1536	28	4	֍	֍	X
ajpdis-1536	28	5	֍	֍	PUNCT
ajpdis-1536	28	6	֏	֏	ADV
ajpdis-1536	28	7	øê	øê	ADP
ajpdis-1536	28	8	è	è	NOUN
ajpdis-1536	28	9	øë	øë	INTJ
ajpdis-1536	28	10	å	å	PROPN
ajpdis-1536	28	11	2	2	NUM
ajpdis-1536	28	12	,	,	PUNCT
ajpdis-1536	28	13	1	1	NUM
ajpdis-1536	28	14	sinn	sinn	NOUN
ajpdis-1536	28	15	na	na	PROPN
ajpdis-1536	28	16	nxf	nxf	PROPN
ajpdis-1536	28	17	t	t	PROPN
ajpdis-1536	28	18	e	e	X
ajpdis-1536	28	19	t	t	NOUN
ajpdis-1536	28	20	l	l	NOUN
ajpdis-1536	28	21	l	l	NOUN
ajpdis-1536	28	22	r	r	NOUN
ajpdis-1536	28	23	r	r	NOUN
ajpdis-1536	28	24	r	r	NOUN
ajpdis-1536	28	25	r	r	NOUN
ajpdis-1536	28	26	p	p	NOUN
ajpdis-1536	28	27	p	p	X
ajpdis-1536	29	1	+	+	CCONJ
ajpdis-1536	29	2	ùæ	ùæ	NOUN
ajpdis-1536	29	3	öæ	öæ	ADV
ajpdis-1536	29	4	ö+	ö+	PUNCT
ajpdis-1536	29	5	úç	úç	ADP
ajpdis-1536	29	6	֍	֍	X
ajpdis-1536	29	7	֍	֍	NOUN
ajpdis-1536	29	8	֏	֏	PROPN
ajpdis-1536	29	9	ø	ø	PROPN
ajpdis-1536	29	10	úè	úè	NOUN
ajpdis-1536	29	11	øû	øû	X
ajpdis-1536	29	12	(	(	PUNCT
ajpdis-1536	29	13	,	,	PUNCT
ajpdis-1536	29	14	)	)	PUNCT
ajpdis-1536	29	15	(	(	PUNCT
ajpdis-1536	29	16	,	,	PUNCT
ajpdis-1536	29	17	)	)	PUNCT
ajpdis-1536	29	18	(	(	PUNCT
ajpdis-1536	29	19	,	,	PUNCT
ajpdis-1536	29	20	)	)	PUNCT
ajpdis-1536	29	21	u	u	NOUN
ajpdis-1536	29	22	x	x	X
ajpdis-1536	29	23	t	t	PROPN
ajpdis-1536	29	24	v	v	NOUN
ajpdis-1536	29	25	x	x	SYM
ajpdis-1536	29	26	t	t	PROPN
ajpdis-1536	29	27	w	w	NOUN
ajpdis-1536	29	28	x	x	X
ajpdis-1536	29	29	t=	t=	PRON
ajpdis-1536	29	30	+	+	PUNCT
ajpdis-1536	29	31	(	(	PUNCT
ajpdis-1536	29	32	,	,	PUNCT
ajpdis-1536	29	33	)	)	PUNCT
ajpdis-1536	29	34	v	v	NOUN
ajpdis-1536	29	35	x	x	SYM
ajpdis-1536	29	36	t	t	PROPN
ajpdis-1536	29	37	2	2	NUM
ajpdis-1536	29	38	(	(	PUNCT
ajpdis-1536	29	39	,	,	PUNCT
ajpdis-1536	29	40	)	)	PUNCT
ajpdis-1536	29	41	(	(	PUNCT
ajpdis-1536	29	42	,	,	PUNCT
ajpdis-1536	29	43	)	)	PUNCT
ajpdis-1536	29	44	=	=	PUNCT
ajpdis-1536	30	1	0,t	0,t	PROPN
ajpdis-1536	30	2	xxd	xxd	PROPN
ajpdis-1536	30	3	v	v	PROPN
ajpdis-1536	30	4	x	x	SYM
ajpdis-1536	30	5	t	t	PROPN
ajpdis-1536	30	6	a	a	DET
ajpdis-1536	30	7	v	v	NOUN
ajpdis-1536	30	8	x	x	PUNCT
ajpdis-1536	30	9	tr	tr	VERB
ajpdis-1536	30	10	0	0	NUM
ajpdis-1536	30	11	,	,	PUNCT
ajpdis-1536	30	12	0	0	NUM
ajpdis-1536	30	13	<	<	X
ajpdis-1536	30	14	;	;	PUNCT
ajpdis-1536	30	15	x	x	SYM
ajpdis-1536	30	16	l	l	NOUN
ajpdis-1536	30	17	t	t	PROPN
ajpdis-1536	30	18	t	t	X
ajpdis-1536	30	19	<	<	X
ajpdis-1536	30	20	<	<	X
ajpdis-1536	30	21	<	<	X
ajpdis-1536	30	22	(	(	PUNCT
ajpdis-1536	30	23	,	,	PUNCT
ajpdis-1536	30	24	0	0	NUM
ajpdis-1536	30	25	)	)	PUNCT
ajpdis-1536	30	26	=	=	PRON
ajpdis-1536	30	27	(	(	PUNCT
ajpdis-1536	30	28	)	)	PUNCT
ajpdis-1536	30	29	,	,	PUNCT
ajpdis-1536	30	30	0	0	NUM
ajpdis-1536	30	31	,	,	PUNCT
ajpdis-1536	30	32	v	v	NOUN
ajpdis-1536	30	33	x	x	SYM
ajpdis-1536	30	34	x	x	SYM
ajpdis-1536	30	35	x	x	X
ajpdis-1536	30	36	lj+	lj+	ADJ
ajpdis-1536	30	37	£	£	SYM
ajpdis-1536	30	38	£	£	NOUN
ajpdis-1536	30	39	(	(	PUNCT
ajpdis-1536	30	40	0	0	NUM
ajpdis-1536	30	41	,	,	PUNCT
ajpdis-1536	30	42	)	)	PUNCT
ajpdis-1536	30	43	0	0	NUM
ajpdis-1536	30	44	,	,	PUNCT
ajpdis-1536	30	45	0	0	NUM
ajpdis-1536	30	46	,	,	PUNCT
ajpdis-1536	30	47	v	v	ADP
ajpdis-1536	30	48	t	t	NOUN
ajpdis-1536	30	49	t	t	NOUN
ajpdis-1536	30	50	t=	t=	NOUN
ajpdis-1536	30	51	£	£	SYM
ajpdis-1536	30	52	£	£	NOUN
ajpdis-1536	30	53	(	(	PUNCT
ajpdis-1536	30	54	,	,	PUNCT
ajpdis-1536	30	55	)	)	PUNCT
ajpdis-1536	30	56	0	0	NUM
ajpdis-1536	30	57	,	,	PUNCT
ajpdis-1536	30	58	0	0	NUM
ajpdis-1536	30	59	.v	.v	NOUN
ajpdis-1536	31	1	l	l	NOUN
ajpdis-1536	31	2	t	t	PROPN
ajpdis-1536	31	3	t	t	X
ajpdis-1536	31	4	t=	t=	NOUN
ajpdis-1536	31	5	£	£	SYM
ajpdis-1536	31	6	£	£	NOUN
ajpdis-1536	31	7	(	(	PUNCT
ajpdis-1536	31	8	,	,	PUNCT
ajpdis-1536	31	9	)	)	PUNCT
ajpdis-1536	31	10	w	w	NOUN
ajpdis-1536	31	11	x	x	SYM
ajpdis-1536	31	12	t	t	PROPN
ajpdis-1536	31	13	2	2	NUM
ajpdis-1536	31	14	(	(	PUNCT
ajpdis-1536	31	15	,	,	PUNCT
ajpdis-1536	31	16	)	)	PUNCT
ajpdis-1536	31	17	(	(	PUNCT
ajpdis-1536	31	18	,	,	PUNCT
ajpdis-1536	31	19	)	)	PUNCT
ajpdis-1536	31	20	=	=	SYM
ajpdis-1536	31	21	(	(	PUNCT
ajpdis-1536	31	22	)	)	PUNCT
ajpdis-1536	31	23	,	,	PUNCT
ajpdis-1536	31	24	t	t	PROPN
ajpdis-1536	31	25	xxd	xxd	PROPN
ajpdis-1536	31	26	w	w	PROPN
ajpdis-1536	32	1	x	x	PROPN
ajpdis-1536	32	2	t	t	PROPN
ajpdis-1536	32	3	a	a	DET
ajpdis-1536	32	4	w	w	NOUN
ajpdis-1536	32	5	x	x	SYM
ajpdis-1536	32	6	t	t	PROPN
ajpdis-1536	32	7	f	f	PROPN
ajpdis-1536	32	8	xr	xr	PROPN
ajpdis-1536	32	9	0	0	PROPN
ajpdis-1536	32	10	,	,	PUNCT
ajpdis-1536	32	11	0	0	NUM
ajpdis-1536	32	12	<	<	X
ajpdis-1536	32	13	;	;	PUNCT
ajpdis-1536	32	14	x	x	SYM
ajpdis-1536	32	15	l	l	NOUN
ajpdis-1536	32	16	t	t	PROPN
ajpdis-1536	32	17	t	t	X
ajpdis-1536	32	18	<	<	X
ajpdis-1536	32	19	<	<	X
ajpdis-1536	32	20	<	<	X
ajpdis-1536	32	21	(	(	PUNCT
ajpdis-1536	32	22	,	,	PUNCT
ajpdis-1536	32	23	0	0	NUM
ajpdis-1536	32	24	)	)	PUNCT
ajpdis-1536	32	25	=	=	SYM
ajpdis-1536	32	26	0	0	NUM
ajpdis-1536	32	27	,	,	PUNCT
ajpdis-1536	32	28	0	0	NUM
ajpdis-1536	32	29	,	,	PUNCT
ajpdis-1536	32	30	w	w	NOUN
ajpdis-1536	32	31	x	x	X
ajpdis-1536	32	32	x	x	X
ajpdis-1536	32	33	l+	l+	X
ajpdis-1536	32	34	£	£	SYM
ajpdis-1536	32	35	£	£	NUM
ajpdis-1536	32	36	(	(	PUNCT
ajpdis-1536	32	37	0	0	NUM
ajpdis-1536	32	38	,	,	PUNCT
ajpdis-1536	32	39	)	)	PUNCT
ajpdis-1536	32	40	0	0	NUM
ajpdis-1536	32	41	,	,	PUNCT
ajpdis-1536	32	42	0	0	NUM
ajpdis-1536	32	43	,	,	PUNCT
ajpdis-1536	32	44	w	w	PROPN
ajpdis-1536	32	45	t	t	PROPN
ajpdis-1536	32	46	t	t	PROPN
ajpdis-1536	32	47	t=	t=	NOUN
ajpdis-1536	32	48	£	£	SYM
ajpdis-1536	32	49	£	£	NOUN
ajpdis-1536	32	50	(	(	PUNCT
ajpdis-1536	32	51	,	,	PUNCT
ajpdis-1536	32	52	)	)	PUNCT
ajpdis-1536	32	53	0	0	NUM
ajpdis-1536	32	54	,	,	PUNCT
ajpdis-1536	32	55	0	0	NUM
ajpdis-1536	32	56	.w	.w	PROPN
ajpdis-1536	33	1	l	l	PROPN
ajpdis-1536	33	2	t	t	PROPN
ajpdis-1536	33	3	t	t	PROPN
ajpdis-1536	33	4	t=	t=	NOUN
ajpdis-1536	33	5	£	£	SYM
ajpdis-1536	33	6	£	£	SYM
ajpdis-1536	33	7	304	304	NUM
ajpdis-1536	33	8	american	american	ADJ
ajpdis-1536	33	9	journal	journal	PROPN
ajpdis-1536	33	10	of	of	ADP
ajpdis-1536	33	11	public	public	ADJ
ajpdis-1536	33	12	diplomacy	diplomacy	NOUN
ajpdis-1536	33	13	and	and	CCONJ
ajpdis-1536	33	14	international	international	ADJ
ajpdis-1536	33	15	studies	study	NOUN
ajpdis-1536	33	16	www.grnjournal.us	www.grnjournal.us	PROPN
ajpdis-1536	33	17	(	(	PUNCT
ajpdis-1536	33	18	1.15	1.15	NUM
ajpdis-1536	33	19	)	)	PUNCT
ajpdis-1536	33	20	we	we	PRON
ajpdis-1536	33	21	look	look	VERB
ajpdis-1536	33	22	for	for	ADP
ajpdis-1536	33	23	in	in	ADP
ajpdis-1536	33	24	the	the	DET
ajpdis-1536	33	25	form	form	NOUN
ajpdis-1536	33	26	,	,	PUNCT
ajpdis-1536	33	27	where	where	SCONJ
ajpdis-1536	33	28	is	be	AUX
ajpdis-1536	33	29	a	a	DET
ajpdis-1536	33	30	function	function	NOUN
ajpdis-1536	33	31	of	of	ADP
ajpdis-1536	33	32	only	only	ADV
ajpdis-1536	33	33	a	a	DET
ajpdis-1536	33	34	variable	variable	NOUN
ajpdis-1536	33	35	,	,	PUNCT
ajpdis-1536	33	36	and	and	CCONJ
ajpdis-1536	33	37	is	be	AUX
ajpdis-1536	33	38	a	a	DET
ajpdis-1536	33	39	function	function	NOUN
ajpdis-1536	33	40	of	of	ADP
ajpdis-1536	33	41	only	only	ADV
ajpdis-1536	33	42	a	a	DET
ajpdis-1536	33	43	variable	variable	NOUN
ajpdis-1536	33	44	.	.	PUNCT
ajpdis-1536	34	1	the	the	DET
ajpdis-1536	34	2	solution	solution	NOUN
ajpdis-1536	34	3	in	in	ADP
ajpdis-1536	34	4	the	the	DET
ajpdis-1536	34	5	form	form	NOUN
ajpdis-1536	34	6	(	(	PUNCT
ajpdis-1536	34	7	1.15	1.15	NUM
ajpdis-1536	34	8	)	)	PUNCT
ajpdis-1536	34	9	into	into	ADP
ajpdis-1536	34	10	the	the	DET
ajpdis-1536	34	11	equation	equation	NOUN
ajpdis-1536	34	12	(	(	PUNCT
ajpdis-1536	34	13	1.7	1.7	NUM
ajpdis-1536	34	14	)	)	PUNCT
ajpdis-1536	34	15	and	and	CCONJ
ajpdis-1536	34	16	form	form	VERB
ajpdis-1536	34	17	the	the	DET
ajpdis-1536	34	18	following	follow	VERB
ajpdis-1536	34	19	equation	equation	NOUN
ajpdis-1536	34	20	:	:	PUNCT
ajpdis-1536	34	21	then	then	ADV
ajpdis-1536	34	22	this	this	PRON
ajpdis-1536	34	23	of	of	ADP
ajpdis-1536	34	24	equality	equality	NOUN
ajpdis-1536	34	25	two	two	NUM
ajpdis-1536	34	26	side	side	NOUN
ajpdis-1536	34	27	to	to	ADP
ajpdis-1536	34	28	being	be	AUX
ajpdis-1536	34	29	to	to	PART
ajpdis-1536	34	30	send	send	VERB
ajpdis-1536	34	31	as	as	ADP
ajpdis-1536	34	32	a	a	DET
ajpdis-1536	34	33	result	result	NOUN
ajpdis-1536	34	34	,	,	PUNCT
ajpdis-1536	34	35	(	(	PUNCT
ajpdis-1536	34	36	1.16	1.16	NUM
ajpdis-1536	34	37	)	)	PUNCT
ajpdis-1536	34	38	we	we	PRON
ajpdis-1536	34	39	form	form	VERB
ajpdis-1536	34	40	the	the	DET
ajpdis-1536	34	41	equation	equation	NOUN
ajpdis-1536	34	42	.	.	PUNCT
ajpdis-1536	35	1	for	for	SCONJ
ajpdis-1536	35	2	the	the	DET
ajpdis-1536	35	3	function	function	NOUN
ajpdis-1536	35	4	of	of	ADP
ajpdis-1536	35	5	the	the	DET
ajpdis-1536	35	6	form	form	NOUN
ajpdis-1536	35	7	(	(	PUNCT
ajpdis-1536	35	8	1.16	1.16	NUM
ajpdis-1536	35	9	)	)	PUNCT
ajpdis-1536	35	10	to	to	PART
ajpdis-1536	35	11	be	be	AUX
ajpdis-1536	35	12	a	a	DET
ajpdis-1536	35	13	solution	solution	NOUN
ajpdis-1536	35	14	of	of	ADP
ajpdis-1536	35	15	the	the	DET
ajpdis-1536	35	16	equation	equation	NOUN
ajpdis-1536	35	17	(	(	PUNCT
ajpdis-1536	35	18	1.7	1.7	NUM
ajpdis-1536	35	19	)	)	PUNCT
ajpdis-1536	35	20	,	,	PUNCT
ajpdis-1536	35	21	from	from	ADP
ajpdis-1536	35	22	(	(	PUNCT
ajpdis-1536	35	23	1.16	1.16	NUM
ajpdis-1536	35	24	)	)	PUNCT
ajpdis-1536	35	25	consists	consist	VERB
ajpdis-1536	35	26	of	of	ADP
ajpdis-1536	35	27	to	to	PART
ajpdis-1536	35	28	be	be	AUX
ajpdis-1536	35	29	need	need	NOUN
ajpdis-1536	35	30	,	,	PUNCT
ajpdis-1536	35	31	that	that	PRON
ajpdis-1536	35	32	is	be	AUX
ajpdis-1536	35	33	manly	manly	ADJ
ajpdis-1536	35	34	of	of	ADP
ajpdis-1536	35	35	variables	variable	NOUN
ajpdis-1536	35	36	all	all	PRON
ajpdis-1536	35	37	in	in	ADP
ajpdis-1536	35	38	values	value	NOUN
ajpdis-1536	35	39	must	must	AUX
ajpdis-1536	35	40	be	be	AUX
ajpdis-1536	35	41	appropriate	appropriate	ADJ
ajpdis-1536	35	42	.	.	PUNCT
ajpdis-1536	36	1	(	(	PUNCT
ajpdis-1536	36	2	1.13	1.13	NUM
ajpdis-1536	36	3	)	)	PUNCT
ajpdis-1536	36	4	is	be	AUX
ajpdis-1536	36	5	the	the	DET
ajpdis-1536	36	6	left	left	ADJ
ajpdis-1536	36	7	side	side	NOUN
ajpdis-1536	36	8	of	of	ADP
ajpdis-1536	36	9	eq	eq	NOUN
ajpdis-1536	36	10	only	only	ADV
ajpdis-1536	36	11	to	to	ADP
ajpdis-1536	36	12	variable	variable	ADJ
ajpdis-1536	36	13	,	,	PUNCT
ajpdis-1536	36	14	right	right	ADJ
ajpdis-1536	36	15	part	part	NOUN
ajpdis-1536	36	16	only	only	ADV
ajpdis-1536	36	17	depends	depend	VERB
ajpdis-1536	36	18	on	on	ADP
ajpdis-1536	36	19	the	the	DET
ajpdis-1536	36	20	variable	variable	NOUN
ajpdis-1536	36	21	x	x	X
ajpdis-1536	36	22	.	.	PUNCT
ajpdis-1536	37	1	if	if	SCONJ
ajpdis-1536	37	2	we	we	PRON
ajpdis-1536	37	3	change	change	VERB
ajpdis-1536	37	4	something	something	PRON
ajpdis-1536	37	5	value	value	NOUN
ajpdis-1536	37	6	choose	choose	VERB
ajpdis-1536	37	7	variable	variable	NOUN
ajpdis-1536	37	8	if	if	SCONJ
ajpdis-1536	37	9	we	we	PRON
ajpdis-1536	37	10	change	change	VERB
ajpdis-1536	37	11	(	(	PUNCT
ajpdis-1536	37	12	1.16	1.16	NUM
ajpdis-1536	37	13	)	)	PUNCT
ajpdis-1536	37	14	of	of	ADP
ajpdis-1536	37	15	equality	equality	NOUN
ajpdis-1536	37	16	right	right	ADJ
ajpdis-1536	37	17	part	part	NOUN
ajpdis-1536	37	18	and	and	CCONJ
ajpdis-1536	37	19	vice	vice	ADV
ajpdis-1536	37	20	versa	versa	NOUN
ajpdis-1536	37	21	of	of	ADP
ajpdis-1536	37	22	the	the	DET
ajpdis-1536	37	23	variable	variable	ADJ
ajpdis-1536	37	24	something	something	PRON
ajpdis-1536	37	25	value	value	NOUN
ajpdis-1536	37	26	choose	choose	VERB
ajpdis-1536	37	27	variable	variable	NOUN
ajpdis-1536	37	28	if	if	SCONJ
ajpdis-1536	37	29	we	we	PRON
ajpdis-1536	37	30	change	change	VERB
ajpdis-1536	37	31	(	(	PUNCT
ajpdis-1536	37	32	1.16	1.16	NUM
ajpdis-1536	37	33	)	)	PUNCT
ajpdis-1536	37	34	,	,	PUNCT
ajpdis-1536	37	35	the	the	DET
ajpdis-1536	37	36	left	left	ADJ
ajpdis-1536	37	37	part	part	NOUN
ajpdis-1536	37	38	of	of	ADP
ajpdis-1536	37	39	the	the	DET
ajpdis-1536	37	40	equation	equation	NOUN
ajpdis-1536	37	41	will	will	AUX
ajpdis-1536	37	42	be	be	AUX
ajpdis-1536	37	43	unchanged	unchanged	ADJ
ajpdis-1536	37	44	.	.	PUNCT
ajpdis-1536	38	1	this	this	DET
ajpdis-1536	38	2	equality	equality	NOUN
ajpdis-1536	38	3	holds	hold	VERB
ajpdis-1536	38	4	only	only	ADV
ajpdis-1536	38	5	if	if	SCONJ
ajpdis-1536	38	6	both	both	DET
ajpdis-1536	38	7	sides	side	NOUN
ajpdis-1536	38	8	of	of	ADP
ajpdis-1536	38	9	the	the	DET
ajpdis-1536	38	10	equality	equality	NOUN
ajpdis-1536	38	11	are	be	AUX
ajpdis-1536	38	12	equal	equal	ADJ
ajpdis-1536	38	13	to	to	ADP
ajpdis-1536	38	14	a	a	DET
ajpdis-1536	38	15	constant	constant	ADJ
ajpdis-1536	38	16	number	number	NOUN
ajpdis-1536	38	17	.	.	PUNCT
ajpdis-1536	39	1	therefore	therefore	ADV
ajpdis-1536	39	2	,	,	PUNCT
ajpdis-1536	39	3	the	the	DET
ajpdis-1536	39	4	following	follow	VERB
ajpdis-1536	39	5	equality	equality	NOUN
ajpdis-1536	39	6	holds	hold	VERB
ajpdis-1536	39	7	:	:	PUNCT
ajpdis-1536	39	8	(	(	PUNCT
ajpdis-1536	39	9	1.17	1.17	NUM
ajpdis-1536	39	10	)	)	PUNCT
ajpdis-1536	39	11	here	here	ADV
ajpdis-1536	39	12	is	be	AUX
ajpdis-1536	39	13	constant	constant	ADJ
ajpdis-1536	39	14	,	,	PUNCT
ajpdis-1536	39	15	and	and	CCONJ
ajpdis-1536	39	16	since	since	SCONJ
ajpdis-1536	39	17	there	there	PRON
ajpdis-1536	39	18	is	be	VERB
ajpdis-1536	39	19	no	no	DET
ajpdis-1536	39	20	requirement	requirement	NOUN
ajpdis-1536	39	21	for	for	ADP
ajpdis-1536	39	22	its	its	PRON
ajpdis-1536	39	23	sign	sign	NOUN
ajpdis-1536	39	24	,	,	PUNCT
ajpdis-1536	39	25	we	we	PRON
ajpdis-1536	39	26	take	take	VERB
ajpdis-1536	39	27	it	it	PRON
ajpdis-1536	39	28	with	with	ADP
ajpdis-1536	39	29	a	a	DET
ajpdis-1536	39	30	minus	minus	ADJ
ajpdis-1536	39	31	sign	sign	NOUN
ajpdis-1536	39	32	for	for	ADP
ajpdis-1536	39	33	the	the	DET
ajpdis-1536	39	34	convenience	convenience	NOUN
ajpdis-1536	39	35	of	of	ADP
ajpdis-1536	39	36	further	further	ADJ
ajpdis-1536	39	37	calculations	calculation	NOUN
ajpdis-1536	39	38	.	.	PUNCT
ajpdis-1536	40	1	(	(	PUNCT
ajpdis-1536	40	2	1.17	1.17	NUM
ajpdis-1536	40	3	)	)	PUNCT
ajpdis-1536	40	4	from	from	ADP
ajpdis-1536	40	5	the	the	DET
ajpdis-1536	40	6	equation	equation	NOUN
ajpdis-1536	40	7	and	and	CCONJ
ajpdis-1536	40	8	from	from	ADP
ajpdis-1536	40	9	scratch	scratch	NOUN
ajpdis-1536	40	10	to	to	PART
ajpdis-1536	40	11	identify	identify	VERB
ajpdis-1536	40	12	different	different	ADJ
ajpdis-1536	40	13	functions	function	NOUN
ajpdis-1536	40	14	(	(	PUNCT
ajpdis-1536	40	15	1.18	1.18	NUM
ajpdis-1536	40	16	)	)	PUNCT
ajpdis-1536	40	17	(	(	PUNCT
ajpdis-1536	40	18	1.19	1.19	NUM
ajpdis-1536	40	19	)	)	PUNCT
ajpdis-1536	40	20	we	we	PRON
ajpdis-1536	40	21	come	come	VERB
ajpdis-1536	40	22	to	to	ADP
ajpdis-1536	40	23	ordinary	ordinary	ADJ
ajpdis-1536	40	24	differential	differential	ADJ
ajpdis-1536	40	25	equations	equation	NOUN
ajpdis-1536	40	26	.	.	PUNCT
ajpdis-1536	41	1	(	(	PUNCT
ajpdis-1536	41	2	1.9	1.9	NUM
ajpdis-1536	41	3	)	)	PUNCT
ajpdis-1536	41	4	and	and	CCONJ
ajpdis-1536	41	5	(	(	PUNCT
ajpdis-1536	41	6	1.10	1.10	NUM
ajpdis-1536	41	7	)	)	PUNCT
ajpdis-1536	41	8	,	,	PUNCT
ajpdis-1536	41	9	we	we	PRON
ajpdis-1536	41	10	have	have	VERB
ajpdis-1536	41	11	the	the	DET
ajpdis-1536	41	12	following	follow	VERB
ajpdis-1536	41	13	equality	equality	NOUN
ajpdis-1536	41	14	.	.	PUNCT
ajpdis-1536	42	1	we	we	PRON
ajpdis-1536	42	2	have	have	VERB
ajpdis-1536	42	3	equalities	equality	NOUN
ajpdis-1536	42	4	.	.	PUNCT
ajpdis-1536	43	1	moreover	moreover	ADV
ajpdis-1536	43	2	,	,	PUNCT
ajpdis-1536	43	3	for	for	ADP
ajpdis-1536	43	4	the	the	DET
ajpdis-1536	43	5	function	function	NOUN
ajpdis-1536	43	6	since	since	SCONJ
ajpdis-1536	43	7	it	it	PRON
ajpdis-1536	43	8	is	be	AUX
ajpdis-1536	43	9	a	a	DET
ajpdis-1536	43	10	nonzero	nonzero	NOUN
ajpdis-1536	43	11	function	function	NOUN
ajpdis-1536	43	12	(	(	PUNCT
ajpdis-1536	43	13	1.20	1.20	NUM
ajpdis-1536	43	14	)	)	PUNCT
ajpdis-1536	43	15	it	it	PRON
ajpdis-1536	43	16	follows	follow	VERB
ajpdis-1536	43	17	that	that	SCONJ
ajpdis-1536	43	18	additional	additional	ADJ
ajpdis-1536	43	19	conditions	condition	NOUN
ajpdis-1536	43	20	are	be	AUX
ajpdis-1536	43	21	satisfied	satisfied	ADJ
ajpdis-1536	43	22	.	.	PUNCT
ajpdis-1536	44	1	thus	thus	ADV
ajpdis-1536	44	2	,	,	PUNCT
ajpdis-1536	44	3	to	to	PART
ajpdis-1536	44	4	define	define	VERB
ajpdis-1536	44	5	a	a	DET
ajpdis-1536	44	6	function	function	NOUN
ajpdis-1536	44	7	,	,	PUNCT
ajpdis-1536	44	8	we	we	PRON
ajpdis-1536	44	9	formulate	formulate	VERB
ajpdis-1536	44	10	a	a	DET
ajpdis-1536	44	11	simple	simple	ADJ
ajpdis-1536	44	12	eigenvalue	eigenvalue	NOUN
ajpdis-1536	44	13	problem	problem	NOUN
ajpdis-1536	44	14	:	:	PUNCT
ajpdis-1536	44	15	we	we	PRON
ajpdis-1536	44	16	need	need	VERB
ajpdis-1536	44	17	to	to	PART
ajpdis-1536	44	18	find	find	VERB
ajpdis-1536	44	19	such	such	ADJ
ajpdis-1536	44	20	values	value	NOUN
ajpdis-1536	44	21	of	of	ADP
ajpdis-1536	44	22	the	the	DET
ajpdis-1536	44	23	parameter	parameter	NOUN
ajpdis-1536	44	24	as	as	ADP
ajpdis-1536	44	25	the	the	DET
ajpdis-1536	44	26	result	result	NOUN
ajpdis-1536	44	27	(	(	PUNCT
ajpdis-1536	44	28	1.21	1.21	NUM
ajpdis-1536	44	29	)	)	PUNCT
ajpdis-1536	44	30	the	the	DET
ajpdis-1536	44	31	problem	problem	NOUN
ajpdis-1536	44	32	have	have	VERB
ajpdis-1536	44	33	a	a	DET
ajpdis-1536	44	34	nontrivial	nontrivial	ADJ
ajpdis-1536	44	35	solution	solution	NOUN
ajpdis-1536	44	36	.	.	PUNCT
ajpdis-1536	45	1	the	the	DET
ajpdis-1536	45	2	characteristic	characteristic	ADJ
ajpdis-1536	45	3	value	value	NOUN
ajpdis-1536	45	4	for	for	ADP
ajpdis-1536	45	5	such	such	ADJ
ajpdis-1536	45	6	values	value	NOUN
ajpdis-1536	45	7	of	of	ADP
ajpdis-1536	45	8	the	the	DET
ajpdis-1536	45	9	parameter	parameter	NOUN
ajpdis-1536	45	10	,	,	PUNCT
ajpdis-1536	45	11	and	and	CCONJ
ajpdis-1536	45	12	the	the	DET
ajpdis-1536	45	13	corresponding	corresponding	ADJ
ajpdis-1536	45	14	nontrivial	nontrivial	ADJ
ajpdis-1536	45	15	solution	solution	NOUN
ajpdis-1536	45	16	is	be	AUX
ajpdis-1536	45	17	called	call	VERB
ajpdis-1536	45	18	the	the	DET
ajpdis-1536	45	19	characteristic	characteristic	ADJ
ajpdis-1536	45	20	function	function	NOUN
ajpdis-1536	45	21	of	of	ADP
ajpdis-1536	45	22	the	the	DET
ajpdis-1536	45	23	given	give	VERB
ajpdis-1536	45	24	problem	problem	NOUN
ajpdis-1536	45	25	.	.	PUNCT
ajpdis-1536	46	1	this	this	PRON
ajpdis-1536	46	2	given	give	VERB
ajpdis-1536	46	3	eigenvalue	eigenvalue	NOUN
ajpdis-1536	46	4	and	and	CCONJ
ajpdis-1536	46	5	eigenfunction	eigenfunction	NOUN
ajpdis-1536	46	6	problem	problem	NOUN
ajpdis-1536	46	7	is	be	AUX
ajpdis-1536	46	8	also	also	ADV
ajpdis-1536	46	9	called	call	VERB
ajpdis-1536	46	10	the	the	DET
ajpdis-1536	46	11	sturm	sturm	PROPN
ajpdis-1536	46	12	–	–	PUNCT
ajpdis-1536	46	13	liouville	liouville	NOUN
ajpdis-1536	46	14	problem	problem	NOUN
ajpdis-1536	46	15	.	.	PUNCT
ajpdis-1536	47	1	of	of	ADP
ajpdis-1536	47	2	the	the	DET
ajpdis-1536	47	3	parameter	parameter	NOUN
ajpdis-1536	47	4	we	we	PRON
ajpdis-1536	47	5	will	will	AUX
ajpdis-1536	47	6	consider	consider	VERB
ajpdis-1536	47	7	the	the	DET
ajpdis-1536	47	8	negative	negative	ADJ
ajpdis-1536	47	9	,	,	PUNCT
ajpdis-1536	47	10	zero	zero	NUM
ajpdis-1536	47	11	and	and	CCONJ
ajpdis-1536	47	12	positive	positive	ADJ
ajpdis-1536	47	13	cases	case	NOUN
ajpdis-1536	47	14	separately	separately	ADV
ajpdis-1536	47	15	:	:	PUNCT
ajpdis-1536	47	16	(	(	PUNCT
ajpdis-1536	47	17	,	,	PUNCT
ajpdis-1536	47	18	)	)	PUNCT
ajpdis-1536	47	19	(	(	PUNCT
ajpdis-1536	47	20	)	)	PUNCT
ajpdis-1536	47	21	(	(	PUNCT
ajpdis-1536	47	22	)	)	PUNCT
ajpdis-1536	48	1	0v	0v	NOUN
ajpdis-1536	48	2	x	x	PUNCT
ajpdis-1536	48	3	t	t	PROPN
ajpdis-1536	48	4	t	t	PROPN
ajpdis-1536	48	5	t	t	PROPN
ajpdis-1536	48	6	x	x	SYM
ajpdis-1536	48	7	x=	x=	PROPN
ajpdis-1536	49	1	×	×	PROPN
ajpdis-1536	49	2	¹	¹	PROPN
ajpdis-1536	49	3	(	(	PUNCT
ajpdis-1536	49	4	)	)	PUNCT
ajpdis-1536	49	5	x	x	SYM
ajpdis-1536	49	6	x	x	PUNCT
ajpdis-1536	49	7	x	x	X
ajpdis-1536	49	8	(	(	PUNCT
ajpdis-1536	49	9	)	)	PUNCT
ajpdis-1536	49	10	t	t	NOUN
ajpdis-1536	49	11	t	t	PROPN
ajpdis-1536	49	12	t	t	PROPN
ajpdis-1536	49	13	2	2	NUM
ajpdis-1536	49	14	(	(	PUNCT
ajpdis-1536	49	15	)	)	PUNCT
ajpdis-1536	49	16	(	(	PUNCT
ajpdis-1536	49	17	)	)	PUNCT
ajpdis-1536	49	18	(	(	PUNCT
ajpdis-1536	49	19	)	)	PUNCT
ajpdis-1536	49	20	(	(	PUNCT
ajpdis-1536	49	21	)	)	PUNCT
ajpdis-1536	49	22	t	t	NOUN
ajpdis-1536	49	23	t	t	NOUN
ajpdis-1536	49	24	x	x	PUNCT
ajpdis-1536	49	25	x	x	X
ajpdis-1536	49	26	a	a	DET
ajpdis-1536	49	27	t	t	NOUN
ajpdis-1536	49	28	t	t	NOUN
ajpdis-1536	49	29	x	x	PUNCT
ajpdis-1536	49	30	x¢	x¢	PROPN
ajpdis-1536	49	31	¢¢=	¢¢=	NUM
ajpdis-1536	49	32	(	(	PUNCT
ajpdis-1536	49	33	)	)	PUNCT
ajpdis-1536	49	34	(	(	PUNCT
ajpdis-1536	49	35	)	)	PUNCT
ajpdis-1536	49	36	0	0	NUM
ajpdis-1536	49	37	t	t	NOUN
ajpdis-1536	49	38	t	t	NOUN
ajpdis-1536	49	39	x	x	X
ajpdis-1536	50	1	x×	x×	ADP
ajpdis-1536	50	2	¹	¹	NUM
ajpdis-1536	50	3	2	2	NUM
ajpdis-1536	50	4	(	(	PUNCT
ajpdis-1536	50	5	)	)	PUNCT
ajpdis-1536	50	6	(	(	PUNCT
ajpdis-1536	50	7	)	)	PUNCT
ajpdis-1536	50	8	(	(	PUNCT
ajpdis-1536	50	9	)	)	PUNCT
ajpdis-1536	50	10	(	(	PUNCT
ajpdis-1536	50	11	)	)	PUNCT
ajpdis-1536	50	12	t	t	NOUN
ajpdis-1536	50	13	t	t	NOUN
ajpdis-1536	50	14	x	x	PUNCT
ajpdis-1536	50	15	x	x	PUNCT
ajpdis-1536	50	16	x	x	X
ajpdis-1536	50	17	xa	xa	PROPN
ajpdis-1536	50	18	t	t	PROPN
ajpdis-1536	50	19	t	t	PROPN
ajpdis-1536	50	20	¢	¢	NOUN
ajpdis-1536	50	21	¢¢	¢¢	VERB
ajpdis-1536	50	22	=	=	PUNCT
ajpdis-1536	50	23	0	0	NUM
ajpdis-1536	50	24	<	<	X
ajpdis-1536	50	25	<	<	X
ajpdis-1536	50	26	;	;	PUNCT
ajpdis-1536	50	27	t	t	PROPN
ajpdis-1536	50	28	t	t	PROPN
ajpdis-1536	50	29	t	t	PROPN
ajpdis-1536	50	30	x	x	SYM
ajpdis-1536	50	31	t	t	PROPN
ajpdis-1536	50	32	t	t	PROPN
ajpdis-1536	50	33	x	x	SYM
ajpdis-1536	50	34	2	2	NUM
ajpdis-1536	50	35	(	(	PUNCT
ajpdis-1536	50	36	)	)	PUNCT
ajpdis-1536	50	37	(	(	PUNCT
ajpdis-1536	50	38	)	)	PUNCT
ajpdis-1536	50	39	(	(	PUNCT
ajpdis-1536	50	40	)	)	PUNCT
ajpdis-1536	50	41	(	(	PUNCT
ajpdis-1536	50	42	)	)	PUNCT
ajpdis-1536	50	43	t	t	NOUN
ajpdis-1536	50	44	t	t	NOUN
ajpdis-1536	50	45	x	x	PUNCT
ajpdis-1536	50	46	x	x	PUNCT
ajpdis-1536	50	47	x	x	X
ajpdis-1536	50	48	xa	xa	PROPN
ajpdis-1536	50	49	t	t	PROPN
ajpdis-1536	50	50	t	t	PROPN
ajpdis-1536	50	51	l	l	NOUN
ajpdis-1536	50	52	¢	¢	NOUN
ajpdis-1536	50	53	¢¢	¢¢	VERB
ajpdis-1536	50	54	=	=	PUNCT
ajpdis-1536	50	55	=	=	SYM
ajpdis-1536	50	56	l	l	NOUN
ajpdis-1536	50	57	(	(	PUNCT
ajpdis-1536	50	58	)	)	PUNCT
ajpdis-1536	50	59	x	x	SYM
ajpdis-1536	50	60	x	x	X
ajpdis-1536	50	61	(	(	PUNCT
ajpdis-1536	50	62	)	)	PUNCT
ajpdis-1536	50	63	t	t	NOUN
ajpdis-1536	50	64	t	t	PROPN
ajpdis-1536	50	65	2	2	NUM
ajpdis-1536	50	66	(	(	PUNCT
ajpdis-1536	50	67	)	)	PUNCT
ajpdis-1536	50	68	(	(	PUNCT
ajpdis-1536	50	69	)	)	PUNCT
ajpdis-1536	50	70	0	0	NUM
ajpdis-1536	50	71	t	t	NOUN
ajpdis-1536	50	72	t	t	NOUN
ajpdis-1536	50	73	a	a	DET
ajpdis-1536	50	74	t	t	NOUN
ajpdis-1536	50	75	tl¢	tl¢	NOUN
ajpdis-1536	51	1	+	+	CCONJ
ajpdis-1536	51	2	=	=	SYM
ajpdis-1536	51	3	(	(	PUNCT
ajpdis-1536	51	4	)	)	PUNCT
ajpdis-1536	51	5	(	(	PUNCT
ajpdis-1536	51	6	)	)	PUNCT
ajpdis-1536	51	7	0x	0x	NOUN
ajpdis-1536	51	8	x	x	PUNCT
ajpdis-1536	52	1	x	x	X
ajpdis-1536	52	2	xl¢¢	xl¢¢	PUNCT
ajpdis-1536	53	1	+	+	PUNCT
ajpdis-1536	53	2	=	=	SYM
ajpdis-1536	53	3	(	(	PUNCT
ajpdis-1536	53	4	0	0	NUM
ajpdis-1536	53	5	,	,	PUNCT
ajpdis-1536	53	6	)	)	PUNCT
ajpdis-1536	53	7	(	(	PUNCT
ajpdis-1536	53	8	)	)	PUNCT
ajpdis-1536	53	9	(	(	PUNCT
ajpdis-1536	53	10	0	0	X
ajpdis-1536	53	11	)	)	PUNCT
ajpdis-1536	53	12	0v	0v	NOUN
ajpdis-1536	53	13	t	t	PROPN
ajpdis-1536	53	14	t	t	PROPN
ajpdis-1536	53	15	t	t	PROPN
ajpdis-1536	53	16	x=	x=	PROPN
ajpdis-1536	53	17	×	×	PROPN
ajpdis-1536	53	18	=	=	SYM
ajpdis-1536	53	19	(	(	PUNCT
ajpdis-1536	53	20	,	,	PUNCT
ajpdis-1536	53	21	)	)	PUNCT
ajpdis-1536	53	22	(	(	PUNCT
ajpdis-1536	53	23	)	)	PUNCT
ajpdis-1536	53	24	(	(	PUNCT
ajpdis-1536	53	25	)	)	PUNCT
ajpdis-1536	53	26	0v	0v	NOUN
ajpdis-1536	53	27	l	l	PROPN
ajpdis-1536	53	28	t	t	PROPN
ajpdis-1536	53	29	t	t	PROPN
ajpdis-1536	53	30	t	t	PROPN
ajpdis-1536	53	31	x	x	PUNCT
ajpdis-1536	53	32	l=	l=	ADJ
ajpdis-1536	53	33	×	×	PROPN
ajpdis-1536	53	34	=	=	PUNCT
ajpdis-1536	53	35	(	(	PUNCT
ajpdis-1536	53	36	)	)	PUNCT
ajpdis-1536	53	37	t	t	NOUN
ajpdis-1536	53	38	t	t	PROPN
ajpdis-1536	53	39	(	(	PUNCT
ajpdis-1536	53	40	)	)	PUNCT
ajpdis-1536	53	41	x	x	SYM
ajpdis-1536	53	42	x	x	X
ajpdis-1536	53	43	(	(	PUNCT
ajpdis-1536	53	44	0	0	NUM
ajpdis-1536	53	45	)	)	PUNCT
ajpdis-1536	53	46	(	(	PUNCT
ajpdis-1536	53	47	)	)	PUNCT
ajpdis-1536	53	48	0x	0x	NOUN
ajpdis-1536	53	49	x	x	SYM
ajpdis-1536	53	50	l=	l=	ADJ
ajpdis-1536	53	51	=	=	SYM
ajpdis-1536	53	52	(	(	PUNCT
ajpdis-1536	53	53	)	)	PUNCT
ajpdis-1536	53	54	x	x	SYM
ajpdis-1536	53	55	x	x	X
ajpdis-1536	53	56	l	l	NOUN
ajpdis-1536	53	57	(	(	PUNCT
ajpdis-1536	53	58	)	)	PUNCT
ajpdis-1536	53	59	(	(	PUNCT
ajpdis-1536	53	60	)	)	PUNCT
ajpdis-1536	53	61	0	0	NUM
ajpdis-1536	53	62	(	(	PUNCT
ajpdis-1536	53	63	0	0	NUM
ajpdis-1536	53	64	)	)	PUNCT
ajpdis-1536	53	65	(	(	PUNCT
ajpdis-1536	53	66	)	)	PUNCT
ajpdis-1536	53	67	0	0	NUM
ajpdis-1536	54	1	x	x	SYM
ajpdis-1536	54	2	x	x	PUNCT
ajpdis-1536	54	3	x	x	PUNCT
ajpdis-1536	54	4	x	x	PUNCT
ajpdis-1536	54	5	x	x	PUNCT
ajpdis-1536	54	6	x	x	PUNCT
ajpdis-1536	54	7	l	l	NOUN
ajpdis-1536	54	8	l¢¢	l¢¢	NOUN
ajpdis-1536	54	9	+	+	CCONJ
ajpdis-1536	54	10	=	=	X
ajpdis-1536	54	11	ì	ì	ADJ
ajpdis-1536	54	12	í	í	NOUN
ajpdis-1536	54	13	=	=	PUNCT
ajpdis-1536	54	14	=	=	NUM
ajpdis-1536	54	15	î	î	PROPN
ajpdis-1536	54	16	l	l	NOUN
ajpdis-1536	54	17	l	l	NOUN
ajpdis-1536	54	18	305	305	NUM
ajpdis-1536	54	19	american	american	ADJ
ajpdis-1536	54	20	journal	journal	NOUN
ajpdis-1536	54	21	of	of	ADP
ajpdis-1536	54	22	public	public	ADJ
ajpdis-1536	54	23	diplomacy	diplomacy	NOUN
ajpdis-1536	54	24	and	and	CCONJ
ajpdis-1536	54	25	international	international	ADJ
ajpdis-1536	54	26	studies	study	NOUN
ajpdis-1536	54	27	www.grnjournal.us	www.grnjournal.us	PROPN
ajpdis-1536	54	28	1	1	NUM
ajpdis-1536	54	29	)	)	PUNCT
ajpdis-1536	54	30	if	if	SCONJ
ajpdis-1536	54	31	let	let	VERB
ajpdis-1536	54	32	it	it	PRON
ajpdis-1536	54	33	be	be	AUX
ajpdis-1536	54	34	then	then	ADV
ajpdis-1536	54	35	the	the	DET
ajpdis-1536	54	36	problem	problem	NOUN
ajpdis-1536	54	37	of	of	ADP
ajpdis-1536	54	38	eigenvalue	eigenvalue	NOUN
ajpdis-1536	54	39	and	and	CCONJ
ajpdis-1536	54	40	eigenfunction	eigenfunction	NOUN
ajpdis-1536	54	41	given	give	VERB
ajpdis-1536	54	42	by	by	ADP
ajpdis-1536	54	43	(	(	PUNCT
ajpdis-1536	54	44	1	1	NUM
ajpdis-1536	54	45	.	.	NUM
ajpdis-1536	54	46	21	21	NUM
ajpdis-1536	54	47	)	)	PUNCT
ajpdis-1536	54	48	will	will	AUX
ajpdis-1536	54	49	not	not	PART
ajpdis-1536	54	50	have	have	VERB
ajpdis-1536	54	51	a	a	DET
ajpdis-1536	54	52	non	non	ADJ
ajpdis-1536	54	53	-	-	ADJ
ajpdis-1536	54	54	zero	zero	NUM
ajpdis-1536	54	55	solution	solution	NOUN
ajpdis-1536	54	56	.	.	PUNCT
ajpdis-1536	55	1	we	we	PRON
ajpdis-1536	55	2	will	will	AUX
ajpdis-1536	55	3	show	show	VERB
ajpdis-1536	55	4	it	it	PRON
ajpdis-1536	55	5	below	below	ADV
ajpdis-1536	55	6	.	.	PUNCT
ajpdis-1536	56	1	the	the	DET
ajpdis-1536	56	2	solution	solution	NOUN
ajpdis-1536	56	3	let	let	VERB
ajpdis-1536	56	4	's	us	PRON
ajpdis-1536	56	5	search	search	VERB
ajpdis-1536	56	6	in	in	ADP
ajpdis-1536	56	7	the	the	DET
ajpdis-1536	56	8	form	form	NOUN
ajpdis-1536	56	9	,	,	PUNCT
ajpdis-1536	56	10	then	then	ADV
ajpdis-1536	56	11	we	we	PRON
ajpdis-1536	56	12	will	will	AUX
ajpdis-1536	56	13	have	have	VERB
ajpdis-1536	56	14	the	the	DET
ajpdis-1536	56	15	following	follow	VERB
ajpdis-1536	56	16	equalities	equality	NOUN
ajpdis-1536	56	17	and	and	CCONJ
ajpdis-1536	56	18	given	give	VERB
ajpdis-1536	56	19	of	of	ADP
ajpdis-1536	56	20	the	the	DET
ajpdis-1536	56	21	matter	matter	NOUN
ajpdis-1536	56	22	the	the	DET
ajpdis-1536	56	23	solution	solution	NOUN
ajpdis-1536	56	24	in	in	ADP
ajpdis-1536	56	25	appearance	appearance	NOUN
ajpdis-1536	56	26	will	will	AUX
ajpdis-1536	56	27	be	be	AUX
ajpdis-1536	56	28	now	now	ADV
ajpdis-1536	56	29	using	use	VERB
ajpdis-1536	56	30	the	the	DET
ajpdis-1536	56	31	boundary	boundary	ADJ
ajpdis-1536	56	32	conditions	condition	NOUN
ajpdis-1536	56	33	we	we	PRON
ajpdis-1536	56	34	get	get	VERB
ajpdis-1536	56	35	the	the	DET
ajpdis-1536	56	36	system	system	NOUN
ajpdis-1536	56	37	and	and	CCONJ
ajpdis-1536	56	38	solve	solve	VERB
ajpdis-1536	56	39	it	it	PRON
ajpdis-1536	56	40	:	:	PUNCT
ajpdis-1536	56	41	from	from	ADP
ajpdis-1536	56	42	and	and	CCONJ
ajpdis-1536	56	43	that	that	SCONJ
ajpdis-1536	56	44	we	we	PRON
ajpdis-1536	56	45	find	find	VERB
ajpdis-1536	56	46	so	so	ADV
ajpdis-1536	56	47	,	,	PUNCT
ajpdis-1536	56	48	if	if	SCONJ
ajpdis-1536	56	49	if	if	SCONJ
ajpdis-1536	56	50	(	(	PUNCT
ajpdis-1536	56	51	3.1.18	3.1.18	NUM
ajpdis-1536	56	52	)	)	PUNCT
ajpdis-1536	56	53	problem	problem	NOUN
ajpdis-1536	56	54	to	to	ADP
ajpdis-1536	56	55	the	the	DET
ajpdis-1536	56	56	solution	solution	NOUN
ajpdis-1536	56	57	have	have	VERB
ajpdis-1536	56	58	it	it	PRON
ajpdis-1536	56	59	is	be	AUX
ajpdis-1536	56	60	2	2	NUM
ajpdis-1536	56	61	)	)	PUNCT
ajpdis-1536	56	62	if	if	SCONJ
ajpdis-1536	56	63	let	let	VERB
ajpdis-1536	56	64	it	it	PRON
ajpdis-1536	56	65	be	be	AUX
ajpdis-1536	56	66	then	then	ADV
ajpdis-1536	56	67	the	the	DET
ajpdis-1536	56	68	given	give	VERB
ajpdis-1536	56	69	eigenvalue	eigenvalue	NOUN
ajpdis-1536	56	70	and	and	CCONJ
ajpdis-1536	56	71	eigenfunction	eigenfunction	NOUN
ajpdis-1536	56	72	problem	problem	NOUN
ajpdis-1536	56	73	(	(	PUNCT
ajpdis-1536	56	74	1.21	1.21	NUM
ajpdis-1536	56	75	)	)	PUNCT
ajpdis-1536	56	76	will	will	AUX
ajpdis-1536	56	77	not	not	PART
ajpdis-1536	56	78	have	have	VERB
ajpdis-1536	56	79	a	a	DET
ajpdis-1536	56	80	non	non	ADJ
ajpdis-1536	56	81	-	-	ADJ
ajpdis-1536	56	82	zero	zero	NUM
ajpdis-1536	56	83	solution	solution	NOUN
ajpdis-1536	56	84	.	.	PUNCT
ajpdis-1536	57	1	if	if	SCONJ
ajpdis-1536	57	2	indeed	indeed	ADV
ajpdis-1536	57	3	_	_	PRON
ajpdis-1536	57	4	_	_	PUNCT
ajpdis-1536	57	5	to	to	PART
ajpdis-1536	57	6	eq	eq	NOUN
ajpdis-1536	57	7	have	have	AUX
ajpdis-1536	57	8	we	we	PRON
ajpdis-1536	57	9	will	will	AUX
ajpdis-1536	57	10	be	be	AUX
ajpdis-1536	57	11	,	,	PUNCT
ajpdis-1536	57	12	from	from	ADP
ajpdis-1536	57	13	this	this	PRON
ajpdis-1536	57	14	to	to	ADP
ajpdis-1536	57	15	the	the	DET
ajpdis-1536	57	16	solution	solution	NOUN
ajpdis-1536	57	17	we	we	PRON
ajpdis-1536	57	18	arrive	arrive	VERB
ajpdis-1536	57	19	at	at	ADP
ajpdis-1536	57	20	,	,	PUNCT
ajpdis-1536	57	21	if	if	SCONJ
ajpdis-1536	57	22	we	we	PRON
ajpdis-1536	57	23	use	use	VERB
ajpdis-1536	57	24	the	the	DET
ajpdis-1536	57	25	boundary	boundary	ADJ
ajpdis-1536	57	26	conditions	condition	NOUN
ajpdis-1536	57	27	þ	þ	PROPN
ajpdis-1536	57	28	and	and	CCONJ
ajpdis-1536	57	29	from	from	ADP
ajpdis-1536	57	30	.	.	PUNCT
ajpdis-1536	58	1	so	so	ADV
ajpdis-1536	58	2	,	,	PUNCT
ajpdis-1536	58	3	if	if	SCONJ
ajpdis-1536	58	4	if	if	SCONJ
ajpdis-1536	58	5	,	,	PUNCT
ajpdis-1536	58	6	(	(	PUNCT
ajpdis-1536	58	7	3.1.21	3.1.21	NUM
ajpdis-1536	58	8	)	)	PUNCT
ajpdis-1536	58	9	is	be	AUX
ajpdis-1536	58	10	the	the	DET
ajpdis-1536	58	11	problem	problem	NOUN
ajpdis-1536	58	12	to	to	ADP
ajpdis-1536	58	13	the	the	DET
ajpdis-1536	58	14	solution	solution	NOUN
ajpdis-1536	58	15	have	have	AUX
ajpdis-1536	58	16	it	it	PRON
ajpdis-1536	58	17	is	be	AUX
ajpdis-1536	58	18	3	3	NUM
ajpdis-1536	58	19	)	)	PUNCT
ajpdis-1536	58	20	if	if	SCONJ
ajpdis-1536	58	21	let	let	VERB
ajpdis-1536	58	22	it	it	PRON
ajpdis-1536	58	23	be	be	AUX
ajpdis-1536	58	24	then	then	ADV
ajpdis-1536	58	25	the	the	DET
ajpdis-1536	58	26	given	give	VERB
ajpdis-1536	58	27	eigenvalue	eigenvalue	NOUN
ajpdis-1536	58	28	and	and	CCONJ
ajpdis-1536	58	29	eigenfunction	eigenfunction	NOUN
ajpdis-1536	58	30	problem	problem	NOUN
ajpdis-1536	58	31	(	(	PUNCT
ajpdis-1536	58	32	1.21	1.21	NUM
ajpdis-1536	58	33	)	)	PUNCT
ajpdis-1536	58	34	will	will	AUX
ajpdis-1536	58	35	have	have	VERB
ajpdis-1536	58	36	a	a	DET
ajpdis-1536	58	37	non	non	ADJ
ajpdis-1536	58	38	-	-	ADJ
ajpdis-1536	58	39	zero	zero	NUM
ajpdis-1536	58	40	solution	solution	NOUN
ajpdis-1536	58	41	.	.	PUNCT
ajpdis-1536	59	1	if	if	SCONJ
ajpdis-1536	59	2	indeed	indeed	ADV
ajpdis-1536	59	3	if	if	SCONJ
ajpdis-1536	59	4	so	so	ADV
ajpdis-1536	59	5	,	,	PUNCT
ajpdis-1536	59	6	the	the	DET
ajpdis-1536	59	7	solution	solution	NOUN
ajpdis-1536	59	8	in	in	ADP
ajpdis-1536	59	9	appearance	appearance	NOUN
ajpdis-1536	59	10	let	let	VERB
ajpdis-1536	59	11	's	us	PRON
ajpdis-1536	59	12	look	look	VERB
ajpdis-1536	59	13	for	for	ADP
ajpdis-1536	59	14	,	,	PUNCT
ajpdis-1536	59	15	then	then	ADV
ajpdis-1536	59	16	we	we	PRON
ajpdis-1536	59	17	will	will	AUX
ajpdis-1536	59	18	have	have	VERB
ajpdis-1536	59	19	the	the	DET
ajpdis-1536	59	20	following	follow	VERB
ajpdis-1536	59	21	equalities	equality	NOUN
ajpdis-1536	59	22	and	and	CCONJ
ajpdis-1536	59	23	that	that	SCONJ
ajpdis-1536	59	24	account	account	NOUN
ajpdis-1536	59	25	if	if	SCONJ
ajpdis-1536	59	26	we	we	PRON
ajpdis-1536	59	27	get	get	VERB
ajpdis-1536	59	28	,	,	PUNCT
ajpdis-1536	59	29	it	it	PRON
ajpdis-1536	59	30	is	be	AUX
ajpdis-1536	59	31	given	give	VERB
ajpdis-1536	59	32	of	of	ADP
ajpdis-1536	59	33	the	the	DET
ajpdis-1536	59	34	matter	matter	NOUN
ajpdis-1536	59	35	the	the	DET
ajpdis-1536	59	36	solution	solution	NOUN
ajpdis-1536	59	37	in	in	ADP
ajpdis-1536	59	38	the	the	DET
ajpdis-1536	59	39	form	form	NOUN
ajpdis-1536	59	40	will	will	AUX
ajpdis-1536	59	41	be	be	AUX
ajpdis-1536	59	42	according	accord	VERB
ajpdis-1536	59	43	to	to	ADP
ajpdis-1536	59	44	the	the	DET
ajpdis-1536	59	45	boundary	boundary	ADJ
ajpdis-1536	59	46	conditions	condition	NOUN
ajpdis-1536	59	47	0l	0l	X
ajpdis-1536	59	48	<	<	X
ajpdis-1536	59	49	(	(	PUNCT
ajpdis-1536	59	50	)	)	PUNCT
ajpdis-1536	59	51	kxx	kxx	NOUN
ajpdis-1536	59	52	x	x	SYM
ajpdis-1536	59	53	e=	e=	NOUN
ajpdis-1536	59	54	2	2	NUM
ajpdis-1536	59	55	2	2	NUM
ajpdis-1536	59	56	0	0	NUM
ajpdis-1536	59	57	0	0	NUM
ajpdis-1536	60	1	kx	kx	PROPN
ajpdis-1536	60	2	kxk	kxk	PROPN
ajpdis-1536	60	3	e	e	PROPN
ajpdis-1536	60	4	e	e	PROPN
ajpdis-1536	60	5	k	k	PROPN
ajpdis-1536	60	6	k	k	PROPN
ajpdis-1536	60	7	l	l	NOUN
ajpdis-1536	60	8	l	l	NOUN
ajpdis-1536	60	9	l	l	NOUN
ajpdis-1536	61	1	+	+	PUNCT
ajpdis-1536	61	2	=	=	SYM
ajpdis-1536	61	3	+	+	NUM
ajpdis-1536	61	4	=	=	SYM
ajpdis-1536	61	5	=	=	SYM
ajpdis-1536	61	6	±	±	NUM
ajpdis-1536	61	7	1	1	NUM
ajpdis-1536	61	8	2	2	NUM
ajpdis-1536	61	9	(	(	PUNCT
ajpdis-1536	61	10	)	)	PUNCT
ajpdis-1536	61	11	x	x	SYM
ajpdis-1536	62	1	xx	xx	NUM
ajpdis-1536	62	2	x	x	SYM
ajpdis-1536	62	3	c	c	NOUN
ajpdis-1536	62	4	e	e	X
ajpdis-1536	62	5	c	c	PROPN
ajpdis-1536	62	6	el	el	PROPN
ajpdis-1536	62	7	l-=	l-=	PROPN
ajpdis-1536	63	1	+	+	CCONJ
ajpdis-1536	63	2	1	1	NUM
ajpdis-1536	63	3	2	2	NUM
ajpdis-1536	63	4	1	1	NUM
ajpdis-1536	63	5	2	2	NUM
ajpdis-1536	63	6	(	(	PUNCT
ajpdis-1536	63	7	0	0	NUM
ajpdis-1536	63	8	)	)	PUNCT
ajpdis-1536	63	9	0	0	NUM
ajpdis-1536	64	1	(	(	PUNCT
ajpdis-1536	64	2	)	)	PUNCT
ajpdis-1536	64	3	0l	0l	X
ajpdis-1536	64	4	l	l	NOUN
ajpdis-1536	65	1	x	x	PUNCT
ajpdis-1536	65	2	c	c	NOUN
ajpdis-1536	65	3	c	c	NOUN
ajpdis-1536	65	4	x	x	X
ajpdis-1536	65	5	l	l	NOUN
ajpdis-1536	65	6	c	c	NOUN
ajpdis-1536	65	7	e	e	X
ajpdis-1536	65	8	c	c	PROPN
ajpdis-1536	65	9	el	el	PROPN
ajpdis-1536	65	10	l=	l=	PROPN
ajpdis-1536	65	11	+	+	PUNCT
ajpdis-1536	66	1	=	=	X
ajpdis-1536	66	2	ìï	ìï	ADP
ajpdis-1536	66	3	í	í	NOUN
ajpdis-1536	66	4	=	=	PUNCT
ajpdis-1536	66	5	+	+	CCONJ
ajpdis-1536	67	1	=	=	NOUN
ajpdis-1536	67	2	ïî	ïî	NOUN
ajpdis-1536	67	3	2	2	NUM
ajpdis-1536	67	4	1	1	NUM
ajpdis-1536	67	5	1	1	NUM
ajpdis-1536	67	6	1	1	NUM
ajpdis-1536	67	7	0l	0l	NUM
ajpdis-1536	67	8	l	l	NOUN
ajpdis-1536	67	9	c	c	NOUN
ajpdis-1536	68	1	c	c	NOUN
ajpdis-1536	68	2	c	c	NOUN
ajpdis-1536	68	3	e	e	PROPN
ajpdis-1536	68	4	c	c	PROPN
ajpdis-1536	68	5	el	el	PROPN
ajpdis-1536	68	6	l=	l=	PROPN
ajpdis-1536	68	7	-ìï	-ìï	ADP
ajpdis-1536	68	8	í	í	PROPN
ajpdis-1536	68	9	=	=	NOUN
ajpdis-1536	68	10	ïî	ïî	PROPN
ajpdis-1536	68	11	0	0	NUM
ajpdis-1536	68	12	va	va	NOUN
ajpdis-1536	68	13	0l	0l	X
ajpdis-1536	68	14	ll	ll	NOUN
ajpdis-1536	68	15	e	e	PROPN
ajpdis-1536	68	16	el	el	PROPN
ajpdis-1536	68	17	l-¹	l-¹	VERB
ajpdis-1536	68	18	¹	¹	PROPN
ajpdis-1536	68	19	1	1	NUM
ajpdis-1536	68	20	0c	0c	NOUN
ajpdis-1536	68	21	=	=	SYM
ajpdis-1536	68	22	2	2	NUM
ajpdis-1536	68	23	0c	0c	NOUN
ajpdis-1536	68	24	=	=	PUNCT
ajpdis-1536	68	25	0l	0l	X
ajpdis-1536	68	26	<	<	X
ajpdis-1536	68	27	(	(	PUNCT
ajpdis-1536	68	28	)	)	PUNCT
ajpdis-1536	68	29	0x	0x	NOUN
ajpdis-1536	68	30	x	x	X
ajpdis-1536	68	31	=	=	SYM
ajpdis-1536	68	32	0l	0l	X
ajpdis-1536	68	33	=	=	PUNCT
ajpdis-1536	68	34	0l	0l	X
ajpdis-1536	68	35	=	=	SYM
ajpdis-1536	68	36	(	(	PUNCT
ajpdis-1536	68	37	)	)	PUNCT
ajpdis-1536	68	38	0x	0x	NOUN
ajpdis-1536	68	39	x¢¢	x¢¢	PUNCT
ajpdis-1536	68	40	=	=	SYM
ajpdis-1536	68	41	1	1	NUM
ajpdis-1536	68	42	2	2	NUM
ajpdis-1536	68	43	(	(	PUNCT
ajpdis-1536	68	44	)	)	PUNCT
ajpdis-1536	68	45	x	x	SYM
ajpdis-1536	68	46	x	x	PUNCT
ajpdis-1536	68	47	c	c	NOUN
ajpdis-1536	68	48	x	x	PUNCT
ajpdis-1536	68	49	c=	c=	NOUN
ajpdis-1536	68	50	+	+	CCONJ
ajpdis-1536	68	51	1	1	NUM
ajpdis-1536	68	52	2	2	NUM
ajpdis-1536	68	53	1	1	NUM
ajpdis-1536	68	54	2	2	NUM
ajpdis-1536	68	55	(	(	PUNCT
ajpdis-1536	68	56	0	0	NUM
ajpdis-1536	68	57	)	)	PUNCT
ajpdis-1536	68	58	0	0	NUM
ajpdis-1536	68	59	0	0	NUM
ajpdis-1536	68	60	(	(	PUNCT
ajpdis-1536	68	61	)	)	PUNCT
ajpdis-1536	68	62	0	0	NUM
ajpdis-1536	69	1	x	x	PUNCT
ajpdis-1536	69	2	c	c	NOUN
ajpdis-1536	69	3	c	c	NOUN
ajpdis-1536	69	4	x	x	X
ajpdis-1536	69	5	l	l	NOUN
ajpdis-1536	69	6	c	c	NOUN
ajpdis-1536	69	7	l	l	NOUN
ajpdis-1536	69	8	c	c	NOUN
ajpdis-1536	69	9	=	=	SYM
ajpdis-1536	69	10	×	×	NOUN
ajpdis-1536	69	11	+	+	CCONJ
ajpdis-1536	69	12	=	=	NOUN
ajpdis-1536	69	13	ì	ì	ADJ
ajpdis-1536	69	14	í	í	NOUN
ajpdis-1536	69	15	=	=	SYM
ajpdis-1536	69	16	×	×	NOUN
ajpdis-1536	69	17	+	+	CCONJ
ajpdis-1536	69	18	=	=	NOUN
ajpdis-1536	69	19	î	î	PROPN
ajpdis-1536	69	20	2	2	NUM
ajpdis-1536	69	21	0c	0c	NOUN
ajpdis-1536	69	22	=	=	SYM
ajpdis-1536	69	23	0l	0l	PUNCT
ajpdis-1536	69	24	¹	¹	NUM
ajpdis-1536	69	25	1	1	NUM
ajpdis-1536	69	26	0c	0c	NOUN
ajpdis-1536	69	27	=	=	SYM
ajpdis-1536	69	28	0l	0l	X
ajpdis-1536	69	29	=	=	SYM
ajpdis-1536	69	30	(	(	PUNCT
ajpdis-1536	69	31	)	)	PUNCT
ajpdis-1536	69	32	0x	0x	NOUN
ajpdis-1536	69	33	x	x	X
ajpdis-1536	69	34	=	=	SYM
ajpdis-1536	69	35	0l	0l	X
ajpdis-1536	69	36	>	>	X
ajpdis-1536	69	37	0l	0l	X
ajpdis-1536	69	38	>	>	X
ajpdis-1536	69	39	(	(	PUNCT
ajpdis-1536	69	40	)	)	PUNCT
ajpdis-1536	69	41	kxx	kxx	NOUN
ajpdis-1536	69	42	x	x	SYM
ajpdis-1536	69	43	e=	e=	NOUN
ajpdis-1536	69	44	2	2	NUM
ajpdis-1536	69	45	2	2	NUM
ajpdis-1536	69	46	0	0	NUM
ajpdis-1536	69	47	0	0	NUM
ajpdis-1536	70	1	kx	kx	PROPN
ajpdis-1536	70	2	kxk	kxk	PROPN
ajpdis-1536	71	1	e	e	PROPN
ajpdis-1536	71	2	e	e	PROPN
ajpdis-1536	71	3	k	k	PROPN
ajpdis-1536	71	4	k	k	PROPN
ajpdis-1536	71	5	i	i	NOUN
ajpdis-1536	71	6	l	l	NOUN
ajpdis-1536	71	7	l	l	X
ajpdis-1536	71	8	l	l	NOUN
ajpdis-1536	72	1	+	+	PUNCT
ajpdis-1536	72	2	=	=	SYM
ajpdis-1536	72	3	+	+	NUM
ajpdis-1536	72	4	=	=	SYM
ajpdis-1536	72	5	=	=	SYM
ajpdis-1536	72	6	±	±	PROPN
ajpdis-1536	72	7	cos	cos	PROPN
ajpdis-1536	72	8	sini	sini	PROPN
ajpdis-1536	72	9	xe	xe	PROPN
ajpdis-1536	72	10	x	x	PROPN
ajpdis-1536	72	11	i	i	PRON
ajpdis-1536	72	12	xl	xl	PROPN
ajpdis-1536	72	13	l	l	PROPN
ajpdis-1536	72	14	l=	l=	X
ajpdis-1536	72	15	±	±	PROPN
ajpdis-1536	72	16	(	(	PUNCT
ajpdis-1536	72	17	)	)	PUNCT
ajpdis-1536	72	18	cos	cos	PROPN
ajpdis-1536	72	19	sinx	sinx	NOUN
ajpdis-1536	72	20	x	x	PUNCT
ajpdis-1536	73	1	a	a	DET
ajpdis-1536	73	2	x	x	X
ajpdis-1536	73	3	b	b	PROPN
ajpdis-1536	73	4	xl	xl	PROPN
ajpdis-1536	73	5	l=	l=	PROPN
ajpdis-1536	73	6	+	+	CCONJ
ajpdis-1536	73	7	(	(	PUNCT
ajpdis-1536	73	8	)	)	PUNCT
ajpdis-1536	73	9	(	(	PUNCT
ajpdis-1536	73	10	)	)	PUNCT
ajpdis-1536	73	11	(	(	PUNCT
ajpdis-1536	73	12	)	)	PUNCT
ajpdis-1536	73	13	(	(	PUNCT
ajpdis-1536	73	14	)	)	PUNCT
ajpdis-1536	73	15	(	(	PUNCT
ajpdis-1536	73	16	0	0	X
ajpdis-1536	73	17	)	)	PUNCT
ajpdis-1536	73	18	cos	cos	NOUN
ajpdis-1536	73	19	0	0	PROPN
ajpdis-1536	73	20	sin	sin	NOUN
ajpdis-1536	73	21	0	0	NUM
ajpdis-1536	73	22	0	0	NUM
ajpdis-1536	73	23	(	(	PUNCT
ajpdis-1536	73	24	)	)	PUNCT
ajpdis-1536	73	25	cos	cos	ADP
ajpdis-1536	73	26	sin	sin	NOUN
ajpdis-1536	73	27	0	0	NUM
ajpdis-1536	73	28	x	x	X
ajpdis-1536	73	29	a	a	DET
ajpdis-1536	73	30	b	b	NOUN
ajpdis-1536	73	31	a	a	PRON
ajpdis-1536	73	32	x	x	X
ajpdis-1536	73	33	l	l	NOUN
ajpdis-1536	73	34	a	a	DET
ajpdis-1536	73	35	l	l	NOUN
ajpdis-1536	73	36	b	b	NOUN
ajpdis-1536	73	37	l	l	NOUN
ajpdis-1536	73	38	l	l	NOUN
ajpdis-1536	73	39	l	l	X
ajpdis-1536	73	40	l	l	X
ajpdis-1536	73	41	l	l	NOUN
ajpdis-1536	74	1	ì	ì	X
ajpdis-1536	74	2	=	=	SYM
ajpdis-1536	74	3	×	×	PROPN
ajpdis-1536	74	4	+	+	CCONJ
ajpdis-1536	74	5	×	×	NOUN
ajpdis-1536	74	6	=	=	PUNCT
ajpdis-1536	74	7	=	=	NOUN
ajpdis-1536	74	8	ï	ï	X
ajpdis-1536	74	9	í	í	NOUN
ajpdis-1536	74	10	=	=	PUNCT
ajpdis-1536	74	11	+	+	CCONJ
ajpdis-1536	74	12	=	=	NOUN
ajpdis-1536	74	13	ïî	ïî	ADP
ajpdis-1536	74	14	306	306	NUM
ajpdis-1536	74	15	american	american	ADJ
ajpdis-1536	74	16	journal	journal	NOUN
ajpdis-1536	74	17	of	of	ADP
ajpdis-1536	74	18	public	public	ADJ
ajpdis-1536	74	19	diplomacy	diplomacy	NOUN
ajpdis-1536	74	20	and	and	CCONJ
ajpdis-1536	74	21	international	international	ADJ
ajpdis-1536	74	22	studies	study	NOUN
ajpdis-1536	74	23	www.grnjournal.us	www.grnjournal.us	PROPN
ajpdis-1536	74	24	will	will	AUX
ajpdis-1536	74	25	be	be	AUX
ajpdis-1536	74	26	from	from	ADP
ajpdis-1536	74	27	this	this	PRON
ajpdis-1536	74	28	will	will	AUX
ajpdis-1536	74	29	be	be	AUX
ajpdis-1536	74	30	,	,	PUNCT
ajpdis-1536	74	31	to	to	PART
ajpdis-1536	74	32	be	be	AUX
ajpdis-1536	74	33	for	for	ADP
ajpdis-1536	74	34	to	to	PART
ajpdis-1536	74	35	be	be	AUX
ajpdis-1536	74	36	need	nee	VERB
ajpdis-1536	74	37	_	_	PUNCT
ajpdis-1536	74	38	in	in	ADP
ajpdis-1536	74	39	that	that	DET
ajpdis-1536	74	40	case	case	NOUN
ajpdis-1536	74	41	or	or	CCONJ
ajpdis-1536	74	42	,	,	PUNCT
ajpdis-1536	74	43	this	this	PRON
ajpdis-1536	74	44	on	on	ADP
ajpdis-1536	74	45	the	the	DET
ajpdis-1536	74	46	ground	ground	NOUN
ajpdis-1536	74	47	because	because	SCONJ
ajpdis-1536	74	48	n=	n=	ADJ
ajpdis-1536	74	49	1,2,3	1,2,3	NUM
ajpdis-1536	74	50	,	,	PUNCT
ajpdis-1536	74	51	…	…	PUNCT
ajpdis-1536	74	52	and	and	CCONJ
ajpdis-1536	74	53	positive	positive	ADJ
ajpdis-1536	74	54	numbers	number	NOUN
ajpdis-1536	74	55	.	.	PUNCT
ajpdis-1536	75	1	so	so	ADV
ajpdis-1536	75	2	,	,	PUNCT
ajpdis-1536	75	3	the	the	DET
ajpdis-1536	75	4	given	give	VERB
ajpdis-1536	75	5	problem	problem	NOUN
ajpdis-1536	75	6	is	be	AUX
ajpdis-1536	75	7	non	non	ADJ
ajpdis-1536	75	8	-	-	ADJ
ajpdis-1536	75	9	trivial	trivial	ADJ
ajpdis-1536	75	10	to	to	ADP
ajpdis-1536	75	11	the	the	DET
ajpdis-1536	75	12	solution	solution	NOUN
ajpdis-1536	75	13	special	special	ADJ
ajpdis-1536	75	14	only	only	ADV
ajpdis-1536	75	15	in	in	ADP
ajpdis-1536	75	16	values	value	NOUN
ajpdis-1536	75	17	have	have	AUX
ajpdis-1536	76	1	and	and	CCONJ
ajpdis-1536	76	2	it	it	PRON
ajpdis-1536	76	3	will	will	AUX
ajpdis-1536	76	4	be	be	AUX
ajpdis-1536	76	5	as	as	SCONJ
ajpdis-1536	76	6	follows	follow	VERB
ajpdis-1536	76	7	(	(	PUNCT
ajpdis-1536	76	8	1.22	1.22	NUM
ajpdis-1536	76	9	)	)	PUNCT
ajpdis-1536	76	10	the	the	DET
ajpdis-1536	76	11	solution	solution	NOUN
ajpdis-1536	76	12	is	be	AUX
ajpdis-1536	76	13	if	if	SCONJ
ajpdis-1536	76	14	we	we	PRON
ajpdis-1536	76	15	choose	choose	VERB
ajpdis-1536	76	16	an	an	DET
ajpdis-1536	76	17	arbitrary	arbitrary	ADJ
ajpdis-1536	76	18	constant	constant	ADJ
ajpdis-1536	76	19	coefficient	coefficient	NOUN
ajpdis-1536	76	20	as	as	ADP
ajpdis-1536	76	21	one	one	NUM
ajpdis-1536	76	22	(	(	PUNCT
ajpdis-1536	76	23	1.23	1.23	NUM
ajpdis-1536	76	24	)	)	PUNCT
ajpdis-1536	76	25	will	will	AUX
ajpdis-1536	76	26	appear	appear	VERB
ajpdis-1536	76	27	.	.	PUNCT
ajpdis-1536	77	1	now	now	ADV
ajpdis-1536	77	2	and	and	CCONJ
ajpdis-1536	77	3	,	,	PUNCT
ajpdis-1536	77	4	characteristic	characteristic	ADJ
ajpdis-1536	77	5	to	to	PART
ajpdis-1536	77	6	value	value	VERB
ajpdis-1536	77	7	suitable	suitable	ADJ
ajpdis-1536	77	8	special	special	ADJ
ajpdis-1536	77	9	function	function	NOUN
ajpdis-1536	77	10	s	s	NOUN
ajpdis-1536	77	11	for	for	ADP
ajpdis-1536	77	12	the	the	DET
ajpdis-1536	77	13	following	follow	VERB
ajpdis-1536	77	14	expressions	expression	NOUN
ajpdis-1536	77	15	we	we	PRON
ajpdis-1536	77	16	find	find	VERB
ajpdis-1536	77	17	:	:	PUNCT
ajpdis-1536	77	18	(	(	PUNCT
ajpdis-1536	77	19	1.24	1.24	NUM
ajpdis-1536	77	20	)	)	PUNCT
ajpdis-1536	77	21	if	if	SCONJ
ajpdis-1536	77	22	we	we	PRON
ajpdis-1536	77	23	transfer	transfer	VERB
ajpdis-1536	77	24	the	the	DET
ajpdis-1536	77	25	expression	expression	NOUN
ajpdis-1536	77	26	(	(	PUNCT
ajpdis-1536	77	27	1.24	1.24	NUM
ajpdis-1536	77	28	)	)	PUNCT
ajpdis-1536	77	29	to	to	ADP
ajpdis-1536	77	30	the	the	DET
ajpdis-1536	77	31	problem	problem	NOUN
ajpdis-1536	77	32	(	(	PUNCT
ajpdis-1536	77	33	1.7	1.7	NUM
ajpdis-1536	77	34	)	)	PUNCT
ajpdis-1536	77	35	,	,	PUNCT
ajpdis-1536	77	36	the	the	DET
ajpdis-1536	77	37	following	follow	VERB
ajpdis-1536	77	38	equality	equality	NOUN
ajpdis-1536	77	39	is	be	AUX
ajpdis-1536	77	40	formed	form	VERB
ajpdis-1536	77	41	:	:	PUNCT
ajpdis-1536	77	42	.	.	PUNCT
ajpdis-1536	78	1	from	from	ADP
ajpdis-1536	78	2	this	this	PRON
ajpdis-1536	78	3	,	,	PUNCT
ajpdis-1536	78	4	we	we	PRON
ajpdis-1536	78	5	form	form	VERB
ajpdis-1536	78	6	the	the	DET
ajpdis-1536	78	7	equation	equation	NOUN
ajpdis-1536	78	8	.	.	PUNCT
ajpdis-1536	79	1	so	so	ADV
ajpdis-1536	79	2	we	we	PRON
ajpdis-1536	79	3	come	come	VERB
ajpdis-1536	79	4	to	to	ADP
ajpdis-1536	79	5	the	the	DET
ajpdis-1536	79	6	following	follow	VERB
ajpdis-1536	79	7	issue	issue	NOUN
ajpdis-1536	79	8	:	:	PUNCT
ajpdis-1536	79	9	(	(	PUNCT
ajpdis-1536	79	10	1.25	1.25	NUM
ajpdis-1536	79	11	)	)	PUNCT
ajpdis-1536	79	12	(	(	PUNCT
ajpdis-1536	79	13	3.1.25	3.1.25	NUM
ajpdis-1536	79	14	)	)	PUNCT
ajpdis-1536	79	15	the	the	DET
ajpdis-1536	79	16	solution	solution	NOUN
ajpdis-1536	79	17	of	of	ADP
ajpdis-1536	79	18	the	the	DET
ajpdis-1536	79	19	cauchy	cauchy	ADJ
ajpdis-1536	79	20	problem	problem	NOUN
ajpdis-1536	79	21	is	be	AUX
ajpdis-1536	79	22	,	,	PUNCT
ajpdis-1536	79	23	by	by	ADP
ajpdis-1536	79	24	virtue	virtue	NOUN
ajpdis-1536	79	25	of	of	ADP
ajpdis-1536	79	26	(	(	PUNCT
ajpdis-1536	79	27	2.2.14	2.2.14	NUM
ajpdis-1536	79	28	)	)	PUNCT
ajpdis-1536	79	29	,	,	PUNCT
ajpdis-1536	79	30	the	the	DET
ajpdis-1536	79	31	following	follow	VERB
ajpdis-1536	79	32	(	(	PUNCT
ajpdis-1536	79	33	see	see	VERB
ajpdis-1536	79	34	[	[	X
ajpdis-1536	79	35	kilbas	kilbas	NOUN
ajpdis-1536	79	36	]	]	X
ajpdis-1536	79	37	):	):	PUNCT
ajpdis-1536	79	38	.	.	PUNCT
ajpdis-1536	80	1	(	(	PUNCT
ajpdis-1536	80	2	1.26	1.26	NUM
ajpdis-1536	80	3	)	)	PUNCT
ajpdis-1536	80	4	since	since	SCONJ
ajpdis-1536	80	5	the	the	DET
ajpdis-1536	80	6	sum	sum	NOUN
ajpdis-1536	80	7	of	of	ADP
ajpdis-1536	80	8	particular	particular	ADJ
ajpdis-1536	80	9	solutions	solution	NOUN
ajpdis-1536	80	10	is	be	AUX
ajpdis-1536	80	11	a	a	DET
ajpdis-1536	80	12	solution	solution	NOUN
ajpdis-1536	80	13	function	function	NOUN
ajpdis-1536	80	14	is	be	AUX
ajpdis-1536	80	15	also	also	ADV
ajpdis-1536	80	16	a	a	DET
ajpdis-1536	80	17	solution	solution	NOUN
ajpdis-1536	80	18	.	.	PUNCT
ajpdis-1536	81	1	so	so	ADV
ajpdis-1536	81	2	(	(	PUNCT
ajpdis-1536	81	3	1.7	1.7	NUM
ajpdis-1536	81	4	)	)	PUNCT
ajpdis-1536	81	5	–	–	PUNCT
ajpdis-1536	81	6	(	(	PUNCT
ajpdis-1536	81	7	1.10	1.10	NUM
ajpdis-1536	81	8	)	)	PUNCT
ajpdis-1536	81	9	is	be	AUX
ajpdis-1536	81	10	a	a	DET
ajpdis-1536	81	11	formal	formal	ADJ
ajpdis-1536	81	12	solution	solution	NOUN
ajpdis-1536	81	13	of	of	ADP
ajpdis-1536	81	14	the	the	DET
ajpdis-1536	81	15	problem	problem	NOUN
ajpdis-1536	81	16	(	(	PUNCT
ajpdis-1536	81	17	)	)	PUNCT
ajpdis-1536	81	18	(	(	PUNCT
ajpdis-1536	81	19	)	)	PUNCT
ajpdis-1536	81	20	sin	sin	VERB
ajpdis-1536	81	21	0x	0x	NOUN
ajpdis-1536	81	22	l	l	PROPN
ajpdis-1536	81	23	b	b	X
ajpdis-1536	81	24	l	l	NOUN
ajpdis-1536	81	25	l=	l=	ADJ
ajpdis-1536	81	26	=	=	SYM
ajpdis-1536	81	27	(	(	PUNCT
ajpdis-1536	81	28	)	)	PUNCT
ajpdis-1536	81	29	0x	0x	NOUN
ajpdis-1536	81	30	x	x	SYM
ajpdis-1536	81	31	¹	¹	PROPN
ajpdis-1536	81	32	0b	0b	NOUN
ajpdis-1536	81	33	¹	¹	X
ajpdis-1536	81	34	(	(	PUNCT
ajpdis-1536	81	35	)	)	PUNCT
ajpdis-1536	81	36	sin	sin	NOUN
ajpdis-1536	82	1	0l	0l	X
ajpdis-1536	82	2	l	l	NOUN
ajpdis-1536	82	3	=	=	PUNCT
ajpdis-1536	82	4	l	l	NOUN
ajpdis-1536	82	5	npl	npl	X
ajpdis-1536	82	6	=	=	SYM
ajpdis-1536	82	7	l	l	NOUN
ajpdis-1536	82	8	l	l	NOUN
ajpdis-1536	82	9	2	2	NUM
ajpdis-1536	82	10	n	n	CCONJ
ajpdis-1536	82	11	n	n	NOUN
ajpdis-1536	82	12	l	l	NOUN
ajpdis-1536	82	13	pl	pl	X
ajpdis-1536	82	14	l	l	NOUN
ajpdis-1536	82	15	æ	æ	X
ajpdis-1536	83	1	ö=	ö=	NOUN
ajpdis-1536	84	1	=	=	SYM
ajpdis-1536	84	2	ç	ç	PROPN
ajpdis-1536	84	3	÷	÷	NOUN
ajpdis-1536	84	4	è	è	PROPN
ajpdis-1536	84	5	ø	ø	PROPN
ajpdis-1536	84	6	(	(	PUNCT
ajpdis-1536	84	7	)	)	PUNCT
ajpdis-1536	84	8	sinn	sinn	PROPN
ajpdis-1536	84	9	n	n	PROPN
ajpdis-1536	84	10	nxx	nxx	PROPN
ajpdis-1536	84	11	x	x	SYM
ajpdis-1536	84	12	b	b	PROPN
ajpdis-1536	84	13	l	l	NOUN
ajpdis-1536	84	14	p	p	NOUN
ajpdis-1536	84	15	=	=	X
ajpdis-1536	84	16	(	(	PUNCT
ajpdis-1536	84	17	)	)	PUNCT
ajpdis-1536	84	18	sinn	sinn	PROPN
ajpdis-1536	84	19	nxx	nxx	PROPN
ajpdis-1536	84	20	x	x	PROPN
ajpdis-1536	84	21	l	l	NOUN
ajpdis-1536	84	22	p	p	X
ajpdis-1536	84	23	=	=	SYM
ajpdis-1536	84	24	2	2	NUM
ajpdis-1536	84	25	n	n	CCONJ
ajpdis-1536	84	26	n	n	NOUN
ajpdis-1536	84	27	l	l	NOUN
ajpdis-1536	84	28	pl	pl	X
ajpdis-1536	85	1	æ	æ	X
ajpdis-1536	85	2	ö=	ö=	NOUN
ajpdis-1536	85	3	ç	ç	PROPN
ajpdis-1536	86	1	÷	÷	PUNCT
ajpdis-1536	86	2	è	è	PROPN
ajpdis-1536	86	3	ø	ø	PROPN
ajpdis-1536	86	4	(	(	PUNCT
ajpdis-1536	86	5	)	)	PUNCT
ajpdis-1536	86	6	nt	not	PART
ajpdis-1536	86	7	t	t	NOUN
ajpdis-1536	86	8	1	1	NUM
ajpdis-1536	86	9	(	(	PUNCT
ajpdis-1536	86	10	,	,	PUNCT
ajpdis-1536	86	11	)	)	PUNCT
ajpdis-1536	86	12	(	(	PUNCT
ajpdis-1536	86	13	)	)	PUNCT
ajpdis-1536	86	14	sinn	sinn	PROPN
ajpdis-1536	86	15	n	n	PROPN
ajpdis-1536	86	16	nxv	nxv	NOUN
ajpdis-1536	86	17	x	x	X
ajpdis-1536	86	18	t	t	PROPN
ajpdis-1536	86	19	t	t	PROPN
ajpdis-1536	86	20	t	t	PROPN
ajpdis-1536	86	21	l	l	PROPN
ajpdis-1536	86	22	p¥	p¥	PROPN
ajpdis-1536	86	23	=	=	SYM
ajpdis-1536	86	24	=	=	SYM
ajpdis-1536	86	25	×å	×å	ADJ
ajpdis-1536	86	26	2	2	NUM
ajpdis-1536	86	27	2	2	NUM
ajpdis-1536	86	28	1	1	NUM
ajpdis-1536	86	29	1	1	NUM
ajpdis-1536	86	30	(	(	PUNCT
ajpdis-1536	86	31	)	)	PUNCT
ajpdis-1536	86	32	sin	sin	NOUN
ajpdis-1536	86	33	(	(	PUNCT
ajpdis-1536	86	34	)	)	PUNCT
ajpdis-1536	86	35	sin	sin	NOUN
ajpdis-1536	86	36	=	=	SYM
ajpdis-1536	86	37	0	0	NUM
ajpdis-1536	86	38	t	t	NOUN
ajpdis-1536	86	39	n	n	CCONJ
ajpdis-1536	86	40	n	n	CCONJ
ajpdis-1536	86	41	n	n	CCONJ
ajpdis-1536	86	42	n	n	CCONJ
ajpdis-1536	86	43	nx	nx	NOUN
ajpdis-1536	86	44	n	n	CCONJ
ajpdis-1536	86	45	nxd	nxd	NOUN
ajpdis-1536	86	46	t	t	PROPN
ajpdis-1536	86	47	t	t	PROPN
ajpdis-1536	86	48	a	a	DET
ajpdis-1536	86	49	t	t	NOUN
ajpdis-1536	86	50	t	t	NOUN
ajpdis-1536	86	51	l	l	NOUN
ajpdis-1536	86	52	l	l	NOUN
ajpdis-1536	86	53	l	l	NOUN
ajpdis-1536	86	54	r	r	NOUN
ajpdis-1536	87	1	p	p	X
ajpdis-1536	87	2	p	p	X
ajpdis-1536	87	3	p¥	p¥	PROPN
ajpdis-1536	87	4	¥	¥	NUM
ajpdis-1536	87	5	=	=	SYM
ajpdis-1536	87	6	=	=	SYM
ajpdis-1536	87	7	æ	æ	X
ajpdis-1536	87	8	ö×	ö×	X
ajpdis-1536	87	9	+	+	PUNCT
ajpdis-1536	87	10	×ç	×ç	X
ajpdis-1536	87	11	÷	÷	PUNCT
ajpdis-1536	87	12	è	è	PROPN
ajpdis-1536	87	13	ø	ø	X
ajpdis-1536	87	14	å	å	X
ajpdis-1536	87	15	å	å	PROPN
ajpdis-1536	87	16	2	2	NUM
ajpdis-1536	87	17	2	2	NUM
ajpdis-1536	87	18	1	1	NUM
ajpdis-1536	87	19	(	(	PUNCT
ajpdis-1536	87	20	)	)	PUNCT
ajpdis-1536	87	21	(	(	PUNCT
ajpdis-1536	87	22	)	)	PUNCT
ajpdis-1536	87	23	sin	sin	NOUN
ajpdis-1536	87	24	=	=	SYM
ajpdis-1536	87	25	0	0	NUM
ajpdis-1536	87	26	t	t	NOUN
ajpdis-1536	87	27	n	n	CCONJ
ajpdis-1536	87	28	n	n	CCONJ
ajpdis-1536	87	29	n	n	ADV
ajpdis-1536	87	30	n	n	ADV
ajpdis-1536	87	31	nxd	nxd	NOUN
ajpdis-1536	87	32	t	t	PROPN
ajpdis-1536	87	33	t	t	PROPN
ajpdis-1536	87	34	a	a	DET
ajpdis-1536	87	35	t	t	NOUN
ajpdis-1536	87	36	t	t	NOUN
ajpdis-1536	87	37	l	l	NOUN
ajpdis-1536	87	38	l	l	NOUN
ajpdis-1536	88	1	r	r	NOUN
ajpdis-1536	89	1	p	p	X
ajpdis-1536	89	2	p¥	p¥	PROPN
ajpdis-1536	89	3	=	=	SYM
ajpdis-1536	89	4	é	é	NOUN
ajpdis-1536	89	5	ùæ	ùæ	NOUN
ajpdis-1536	89	6	ö+	ö+	VERB
ajpdis-1536	89	7	×ê	×ê	NOUN
ajpdis-1536	89	8	úç	úç	ADP
ajpdis-1536	89	9	÷	÷	NUM
ajpdis-1536	90	1	è	è	PROPN
ajpdis-1536	90	2	øê	øê	INTJ
ajpdis-1536	90	3	úë	úë	NOUN
ajpdis-1536	90	4	û	û	X
ajpdis-1536	90	5	å	å	PROPN
ajpdis-1536	90	6	2	2	NUM
ajpdis-1536	90	7	2	2	NUM
ajpdis-1536	90	8	(	(	PUNCT
ajpdis-1536	90	9	)	)	PUNCT
ajpdis-1536	90	10	(	(	PUNCT
ajpdis-1536	90	11	)	)	PUNCT
ajpdis-1536	90	12	0	0	NUM
ajpdis-1536	90	13	,	,	PUNCT
ajpdis-1536	90	14	(	(	PUNCT
ajpdis-1536	90	15	0	0	NUM
ajpdis-1536	90	16	)	)	PUNCT
ajpdis-1536	90	17	,	,	PUNCT
ajpdis-1536	90	18	t	t	PROPN
ajpdis-1536	90	19	n	n	CCONJ
ajpdis-1536	90	20	n	n	PROPN
ajpdis-1536	90	21	n	n	PROPN
ajpdis-1536	90	22	n	n	ADV
ajpdis-1536	90	23	nd	nd	NOUN
ajpdis-1536	90	24	t	t	PROPN
ajpdis-1536	90	25	t	t	PROPN
ajpdis-1536	91	1	a	a	DET
ajpdis-1536	91	2	t	t	NOUN
ajpdis-1536	91	3	t	t	PROPN
ajpdis-1536	91	4	l	l	NOUN
ajpdis-1536	91	5	t	t	NOUN
ajpdis-1536	92	1	r	r	NOUN
ajpdis-1536	93	1	p	p	X
ajpdis-1536	93	2	j	j	PROPN
ajpdis-1536	93	3	ì	ì	X
ajpdis-1536	93	4	æ	æ	PROPN
ajpdis-1536	93	5	ö+	ö+	VERB
ajpdis-1536	93	6	=	=	NOUN
ajpdis-1536	93	7	ï	ï	PRON
ajpdis-1536	93	8	ç	ç	X
ajpdis-1536	93	9	֒	֒	NOUN
ajpdis-1536	93	10	è	è	PROPN
ajpdis-1536	93	11	ø	ø	X
ajpdis-1536	93	12	ï	ï	X
ajpdis-1536	93	13	+	+	CCONJ
ajpdis-1536	93	14	=	=	NUM
ajpdis-1536	93	15	î	î	PROPN
ajpdis-1536	93	16	2	2	NUM
ajpdis-1536	93	17	,	,	PUNCT
ajpdis-1536	93	18	1	1	NUM
ajpdis-1536	93	19	(	(	PUNCT
ajpdis-1536	93	20	)	)	PUNCT
ajpdis-1536	93	21	n	n	CCONJ
ajpdis-1536	93	22	n	n	PROPN
ajpdis-1536	93	23	nat	nat	NOUN
ajpdis-1536	93	24	t	t	PROPN
ajpdis-1536	93	25	e	e	PROPN
ajpdis-1536	93	26	t	t	NOUN
ajpdis-1536	93	27	l	l	NOUN
ajpdis-1536	93	28	r	r	NOUN
ajpdis-1536	93	29	r	r	NOUN
ajpdis-1536	93	30	pj	pj	PROPN
ajpdis-1536	93	31	æ	æ	PROPN
ajpdis-1536	93	32	öæ	öæ	ADP
ajpdis-1536	93	33	ö=	ö=	PROPN
ajpdis-1536	93	34	-ç	-ç	PROPN
ajpdis-1536	93	35	֍	֍	X
ajpdis-1536	93	36	֍	֍	X
ajpdis-1536	93	37	֏	֏	ADV
ajpdis-1536	93	38	øè	øè	PROPN
ajpdis-1536	93	39	ø	ø	PROPN
ajpdis-1536	93	40	1	1	NUM
ajpdis-1536	93	41	(	(	PUNCT
ajpdis-1536	93	42	,	,	PUNCT
ajpdis-1536	93	43	)	)	PUNCT
ajpdis-1536	93	44	(	(	PUNCT
ajpdis-1536	93	45	)	)	PUNCT
ajpdis-1536	93	46	(	(	PUNCT
ajpdis-1536	93	47	)	)	PUNCT
ajpdis-1536	93	48	n	n	CCONJ
ajpdis-1536	93	49	n	n	CCONJ
ajpdis-1536	93	50	n	n	PRON
ajpdis-1536	93	51	v	v	NOUN
ajpdis-1536	93	52	x	x	SYM
ajpdis-1536	93	53	t	t	NOUN
ajpdis-1536	93	54	t	t	PROPN
ajpdis-1536	93	55	t	t	PROPN
ajpdis-1536	93	56	x	x	PROPN
ajpdis-1536	93	57	t	t	NOUN
ajpdis-1536	93	58	¥	¥	NUM
ajpdis-1536	93	59	=	=	PUNCT
ajpdis-1536	93	60	=	=	SYM
ajpdis-1536	93	61	×å	×å	PROPN
ajpdis-1536	93	62	307	307	NUM
ajpdis-1536	93	63	american	american	ADJ
ajpdis-1536	93	64	journal	journal	NOUN
ajpdis-1536	93	65	of	of	ADP
ajpdis-1536	93	66	public	public	ADJ
ajpdis-1536	93	67	diplomacy	diplomacy	NOUN
ajpdis-1536	93	68	and	and	CCONJ
ajpdis-1536	93	69	international	international	ADJ
ajpdis-1536	93	70	studies	study	NOUN
ajpdis-1536	93	71	www.grnjournal.us	www.grnjournal.us	PROPN
ajpdis-1536	93	72	(	(	PUNCT
ajpdis-1536	93	73	1.27	1.27	NUM
ajpdis-1536	93	74	)	)	PUNCT
ajpdis-1536	93	75	will	will	AUX
ajpdis-1536	93	76	appear	appear	VERB
ajpdis-1536	93	77	.	.	PUNCT
ajpdis-1536	94	1	now	now	ADV
ajpdis-1536	94	2	we	we	PRON
ajpdis-1536	94	3	show	show	VERB
ajpdis-1536	94	4	that	that	SCONJ
ajpdis-1536	94	5	this	this	DET
ajpdis-1536	94	6	series	series	NOUN
ajpdis-1536	94	7	is	be	AUX
ajpdis-1536	94	8	flat	flat	ADJ
ajpdis-1536	94	9	convergent	convergent	NOUN
ajpdis-1536	94	10	.	.	PUNCT
ajpdis-1536	95	1	for	for	ADP
ajpdis-1536	95	2	this	this	PRON
ajpdis-1536	95	3	,	,	PUNCT
ajpdis-1536	95	4	the	the	DET
ajpdis-1536	95	5	partial	partial	ADJ
ajpdis-1536	95	6	sum	sum	NOUN
ajpdis-1536	95	7	of	of	ADP
ajpdis-1536	95	8	the	the	DET
ajpdis-1536	95	9	series	series	NOUN
ajpdis-1536	95	10	(	(	PUNCT
ajpdis-1536	95	11	1.27	1.27	NUM
ajpdis-1536	95	12	)	)	PUNCT
ajpdis-1536	95	13	.	.	PUNCT
ajpdis-1536	96	1	we	we	PRON
ajpdis-1536	96	2	define	define	VERB
ajpdis-1536	96	3	as	as	SCONJ
ajpdis-1536	96	4	if	if	SCONJ
ajpdis-1536	96	5	the	the	DET
ajpdis-1536	96	6	mittag	mittag	ADJ
ajpdis-1536	96	7	–	–	PUNCT
ajpdis-1536	96	8	leffler	leffler	NOUN
ajpdis-1536	96	9	function	function	NOUN
ajpdis-1536	96	10	from	from	ADP
ajpdis-1536	96	11	the	the	DET
ajpdis-1536	96	12	estimate	estimate	NOUN
ajpdis-1536	96	13	,	,	PUNCT
ajpdis-1536	96	14	(	(	PUNCT
ajpdis-1536	96	15	1.27	1.27	NUM
ajpdis-1536	96	16	)	)	PUNCT
ajpdis-1536	96	17	results	result	NOUN
ajpdis-1536	96	18	in	in	ADP
ajpdis-1536	96	19	smooth	smooth	ADJ
ajpdis-1536	96	20	convergence	convergence	NOUN
ajpdis-1536	96	21	of	of	ADP
ajpdis-1536	96	22	the	the	DET
ajpdis-1536	96	23	series	series	NOUN
ajpdis-1536	96	24	.	.	PUNCT
ajpdis-1536	97	1	of	of	ADP
ajpdis-1536	97	2	flat	flat	ADJ
ajpdis-1536	97	3	approachability	approachability	NOUN
ajpdis-1536	97	4	at	at	ADP
ajpdis-1536	97	5	price	price	NOUN
ajpdis-1536	97	6	and	and	CCONJ
ajpdis-1536	97	7	of	of	ADP
ajpdis-1536	97	8	the	the	DET
ajpdis-1536	97	9	function	function	NOUN
ajpdis-1536	97	10	properties	property	NOUN
ajpdis-1536	97	11	soon	soon	ADV
ajpdis-1536	97	12	come	come	VERB
ajpdis-1536	97	13	comes	come	VERB
ajpdis-1536	97	14	out	out	ADP
ajpdis-1536	97	15	in	in	ADP
ajpdis-1536	97	16	addition	addition	NOUN
ajpdis-1536	97	17	,	,	PUNCT
ajpdis-1536	97	18	it	it	PRON
ajpdis-1536	97	19	follows	follow	VERB
ajpdis-1536	97	20	that	that	SCONJ
ajpdis-1536	97	21	the	the	DET
ajpdis-1536	97	22	equality	equality	NOUN
ajpdis-1536	97	23	(	(	PUNCT
ajpdis-1536	97	24	1.11	1.11	NUM
ajpdis-1536	97	25	)	)	PUNCT
ajpdis-1536	97	26	,	,	PUNCT
ajpdis-1536	97	27	so	so	ADV
ajpdis-1536	97	28	,	,	PUNCT
ajpdis-1536	97	29	it	it	PRON
ajpdis-1536	97	30	follows	follow	VERB
ajpdis-1536	97	31	from	from	ADP
ajpdis-1536	97	32	the	the	DET
ajpdis-1536	97	33	above	above	ADJ
ajpdis-1536	97	34	considerations	consideration	NOUN
ajpdis-1536	97	35	that	that	SCONJ
ajpdis-1536	97	36	the	the	DET
ajpdis-1536	97	37	function	function	NOUN
ajpdis-1536	97	38	(	(	PUNCT
ajpdis-1536	97	39	1.27	1.27	NUM
ajpdis-1536	97	40	)	)	PUNCT
ajpdis-1536	97	41	is	be	AUX
ajpdis-1536	97	42	a	a	DET
ajpdis-1536	97	43	solution	solution	NOUN
ajpdis-1536	97	44	to	to	ADP
ajpdis-1536	97	45	the	the	DET
ajpdis-1536	97	46	problem	problem	NOUN
ajpdis-1536	97	47	(	(	PUNCT
ajpdis-1536	97	48	1.11	1.11	NUM
ajpdis-1536	97	49	)	)	PUNCT
ajpdis-1536	97	50	(	(	PUNCT
ajpdis-1536	97	51	1.14	1.14	NUM
ajpdis-1536	97	52	)	)	PUNCT
ajpdis-1536	97	53	.	.	PUNCT
ajpdis-1536	98	1	in	in	ADP
ajpdis-1536	98	2	addition	addition	NOUN
ajpdis-1536	98	3	,	,	PUNCT
ajpdis-1536	98	4	it	it	PRON
ajpdis-1536	98	5	follows	follow	VERB
ajpdis-1536	98	6	that	that	SCONJ
ajpdis-1536	98	7	the	the	DET
ajpdis-1536	98	8	equality	equality	NOUN
ajpdis-1536	98	9	(	(	PUNCT
ajpdis-1536	98	10	1.7	1.7	NUM
ajpdis-1536	98	11	)	)	PUNCT
ajpdis-1536	98	12	,	,	PUNCT
ajpdis-1536	98	13	so	so	ADV
ajpdis-1536	98	14	,	,	PUNCT
ajpdis-1536	98	15	it	it	PRON
ajpdis-1536	98	16	follows	follow	VERB
ajpdis-1536	98	17	from	from	ADP
ajpdis-1536	98	18	the	the	DET
ajpdis-1536	98	19	above	above	ADJ
ajpdis-1536	98	20	considerations	consideration	NOUN
ajpdis-1536	98	21	that	that	SCONJ
ajpdis-1536	98	22	the	the	DET
ajpdis-1536	98	23	function	function	NOUN
ajpdis-1536	98	24	(	(	PUNCT
ajpdis-1536	98	25	1.27	1.27	NUM
ajpdis-1536	98	26	)	)	PUNCT
ajpdis-1536	98	27	is	be	AUX
ajpdis-1536	98	28	a	a	DET
ajpdis-1536	98	29	solution	solution	NOUN
ajpdis-1536	98	30	of	of	ADP
ajpdis-1536	98	31	the	the	DET
ajpdis-1536	98	32	problem	problem	NOUN
ajpdis-1536	98	33	(	(	PUNCT
ajpdis-1536	98	34	1.7	1.7	NUM
ajpdis-1536	98	35	)	)	PUNCT
ajpdis-1536	98	36	(	(	PUNCT
ajpdis-1536	98	37	1.10	1.10	NUM
ajpdis-1536	98	38	)	)	PUNCT
ajpdis-1536	98	39	.	.	PUNCT
ajpdis-1536	99	1	now	now	ADV
ajpdis-1536	99	2	let	let	VERB
ajpdis-1536	99	3	's	us	PRON
ajpdis-1536	99	4	look	look	VERB
ajpdis-1536	99	5	at	at	ADP
ajpdis-1536	99	6	the	the	DET
ajpdis-1536	99	7	non	non	ADJ
ajpdis-1536	99	8	-	-	ADJ
ajpdis-1536	99	9	homogeneous	homogeneous	ADJ
ajpdis-1536	99	10	case	case	NOUN
ajpdis-1536	99	11	.	.	PUNCT
ajpdis-1536	100	1	(	(	PUNCT
ajpdis-1536	100	2	1.11	1.11	NUM
ajpdis-1536	100	3	)	)	PUNCT
ajpdis-1536	100	4	–	–	PUNCT
ajpdis-1536	100	5	(	(	PUNCT
ajpdis-1536	100	6	1.14	1.14	NUM
ajpdis-1536	100	7	)	)	PUNCT
ajpdis-1536	100	8	and	and	CCONJ
ajpdis-1536	100	9	fourier	fourier	NOUN
ajpdis-1536	100	10	to	to	PART
ajpdis-1536	100	11	solve	solve	VERB
ajpdis-1536	100	12	the	the	DET
ajpdis-1536	100	13	problem	problem	NOUN
ajpdis-1536	100	14	method	method	NOUN
ajpdis-1536	100	15	we	we	PRON
ajpdis-1536	100	16	use	use	VERB
ajpdis-1536	100	17	,	,	PUNCT
ajpdis-1536	100	18	that	that	PRON
ajpdis-1536	100	19	is	be	AUX
ajpdis-1536	100	20	function	function	NOUN
ajpdis-1536	100	21	apparently	apparently	ADV
ajpdis-1536	100	22	_	_	PUNCT
ajpdis-1536	101	1	_	_	PUNCT
ajpdis-1536	101	2	we	we	PRON
ajpdis-1536	101	3	are	be	AUX
ajpdis-1536	101	4	looking	look	VERB
ajpdis-1536	101	5	for	for	ADP
ajpdis-1536	101	6	him	he	PRON
ajpdis-1536	101	7	(	(	PUNCT
ajpdis-1536	101	8	1.11	1.11	NUM
ajpdis-1536	101	9	)	)	PUNCT
ajpdis-1536	101	10	to	to	ADP
ajpdis-1536	101	11	eq	eq	NOUN
ajpdis-1536	101	12	take	take	VERB
ajpdis-1536	101	13	go	go	VERB
ajpdis-1536	101	14	let	let	VERB
ajpdis-1536	101	15	's	us	PRON
ajpdis-1536	101	16	put	put	VERB
ajpdis-1536	101	17	and	and	CCONJ
ajpdis-1536	101	18	to	to	PART
ajpdis-1536	101	19	simplify	simplify	VERB
ajpdis-1536	101	20	the	the	DET
ajpdis-1536	101	21	following	follow	VERB
ajpdis-1536	101	22	equality	equality	NOUN
ajpdis-1536	101	23	harvest	harvest	NOUN
ajpdis-1536	101	24	we	we	PRON
ajpdis-1536	101	25	do	do	VERB
ajpdis-1536	101	26	:	:	PUNCT
ajpdis-1536	101	27	.	.	PUNCT
ajpdis-1536	102	1	initial	initial	ADJ
ajpdis-1536	102	2	condition	condition	NOUN
ajpdis-1536	102	3	account	account	NOUN
ajpdis-1536	102	4	if	if	SCONJ
ajpdis-1536	102	5	we	we	PRON
ajpdis-1536	102	6	get	get	VERB
ajpdis-1536	102	7	condition	condition	NOUN
ajpdis-1536	102	8	harvest	harvest	NOUN
ajpdis-1536	102	9	we	we	PRON
ajpdis-1536	102	10	do	do	VERB
ajpdis-1536	102	11	so	so	ADV
ajpdis-1536	102	12	the	the	DET
ajpdis-1536	102	13	following	follow	VERB
ajpdis-1536	102	14	2	2	NUM
ajpdis-1536	102	15	,	,	PUNCT
ajpdis-1536	102	16	1	1	NUM
ajpdis-1536	102	17	1	1	NUM
ajpdis-1536	102	18	(	(	PUNCT
ajpdis-1536	102	19	,	,	PUNCT
ajpdis-1536	102	20	)	)	PUNCT
ajpdis-1536	102	21	sinn	sinn	PROPN
ajpdis-1536	102	22	n	n	INTJ
ajpdis-1536	102	23	na	na	ADP
ajpdis-1536	102	24	nxv	nxv	NOUN
ajpdis-1536	102	25	x	x	X
ajpdis-1536	102	26	t	t	NOUN
ajpdis-1536	102	27	e	e	X
ajpdis-1536	102	28	t	t	NOUN
ajpdis-1536	102	29	l	l	NOUN
ajpdis-1536	102	30	l	l	NOUN
ajpdis-1536	102	31	r	r	NOUN
ajpdis-1536	102	32	r	r	NOUN
ajpdis-1536	102	33	p	p	NOUN
ajpdis-1536	102	34	pj	pj	PROPN
ajpdis-1536	103	1	¥	¥	PROPN
ajpdis-1536	103	2	=	=	SYM
ajpdis-1536	103	3	æ	æ	PROPN
ajpdis-1536	103	4	öæ	öæ	ADP
ajpdis-1536	103	5	ö=	ö=	NOUN
ajpdis-1536	103	6	-ç	-ç	PROPN
ajpdis-1536	103	7	֍	֍	X
ajpdis-1536	103	8	֍	֍	X
ajpdis-1536	103	9	֏	֏	ADV
ajpdis-1536	103	10	øè	øè	ADP
ajpdis-1536	103	11	ø	ø	PROPN
ajpdis-1536	103	12	å	å	PROPN
ajpdis-1536	103	13	2	2	NUM
ajpdis-1536	103	14	,	,	PUNCT
ajpdis-1536	103	15	1	1	NUM
ajpdis-1536	103	16	1	1	NUM
ajpdis-1536	103	17	(	(	PUNCT
ajpdis-1536	103	18	,	,	PUNCT
ajpdis-1536	103	19	)	)	PUNCT
ajpdis-1536	103	20	sin	sin	NOUN
ajpdis-1536	103	21	j	j	PROPN
ajpdis-1536	103	22	j	j	PROPN
ajpdis-1536	103	23	n	n	CCONJ
ajpdis-1536	103	24	n	n	ADV
ajpdis-1536	103	25	na	na	ADP
ajpdis-1536	103	26	nxv	nxv	PROPN
ajpdis-1536	103	27	x	x	X
ajpdis-1536	103	28	t	t	NOUN
ajpdis-1536	103	29	e	e	X
ajpdis-1536	103	30	t	t	NOUN
ajpdis-1536	103	31	l	l	NOUN
ajpdis-1536	103	32	l	l	NOUN
ajpdis-1536	103	33	r	r	NOUN
ajpdis-1536	103	34	r	r	NOUN
ajpdis-1536	103	35	p	p	X
ajpdis-1536	104	1	pj	pj	PROPN
ajpdis-1536	104	2	=	=	SYM
ajpdis-1536	104	3	æ	æ	PROPN
ajpdis-1536	104	4	öæ	öæ	ADP
ajpdis-1536	104	5	ö=	ö=	NOUN
ajpdis-1536	104	6	-ç	-ç	PROPN
ajpdis-1536	104	7	֍	֍	X
ajpdis-1536	104	8	֍	֍	X
ajpdis-1536	104	9	֏	֏	ADV
ajpdis-1536	104	10	øè	øè	ADP
ajpdis-1536	104	11	ø	ø	PROPN
ajpdis-1536	104	12	å	å	PROPN
ajpdis-1536	104	13	,	,	PUNCT
ajpdis-1536	104	14	1|	1|	NUM
ajpdis-1536	104	15	(	(	PUNCT
ajpdis-1536	104	16	)	)	PUNCT
ajpdis-1536	105	1	|	|	ADV
ajpdis-1536	105	2	1	1	NUM
ajpdis-1536	105	3	e	e	NOUN
ajpdis-1536	105	4	z	z	PROPN
ajpdis-1536	105	5	zr	zr	PROPN
ajpdis-1536	105	6	µ	µ	X
ajpdis-1536	105	7	£	£	SYM
ajpdis-1536	105	8	+	+	NUM
ajpdis-1536	105	9	(	(	PUNCT
ajpdis-1536	105	10	,	,	PUNCT
ajpdis-1536	105	11	)	)	PUNCT
ajpdis-1536	105	12	xxv	xxv	PROPN
ajpdis-1536	105	13	x	x	SYM
ajpdis-1536	105	14	t	t	PROPN
ajpdis-1536	105	15	2	2	NUM
ajpdis-1536	105	16	22	22	NUM
ajpdis-1536	105	17	,	,	PUNCT
ajpdis-1536	105	18	12	12	NUM
ajpdis-1536	105	19	1	1	NUM
ajpdis-1536	105	20	(	(	PUNCT
ajpdis-1536	105	21	,	,	PUNCT
ajpdis-1536	105	22	)	)	PUNCT
ajpdis-1536	105	23	sinj	sinj	NOUN
ajpdis-1536	105	24	n	n	CCONJ
ajpdis-1536	105	25	n	n	CCONJ
ajpdis-1536	105	26	n	n	ADV
ajpdis-1536	105	27	na	na	ADP
ajpdis-1536	105	28	nxv	nxv	PROPN
ajpdis-1536	105	29	x	x	X
ajpdis-1536	105	30	t	t	PROPN
ajpdis-1536	105	31	e	e	X
ajpdis-1536	105	32	t	t	NOUN
ajpdis-1536	105	33	x	x	X
ajpdis-1536	105	34	l	l	NOUN
ajpdis-1536	105	35	l	l	NOUN
ajpdis-1536	105	36	l	l	NOUN
ajpdis-1536	105	37	r	r	NOUN
ajpdis-1536	105	38	r	r	NOUN
ajpdis-1536	105	39	p	p	NOUN
ajpdis-1536	105	40	p	p	X
ajpdis-1536	105	41	pj	pj	PROPN
ajpdis-1536	106	1	¥	¥	PROPN
ajpdis-1536	106	2	=	=	SYM
ajpdis-1536	106	3	æ	æ	X
ajpdis-1536	106	4	ö¶	ö¶	X
ajpdis-1536	106	5	æ	æ	X
ajpdis-1536	106	6	ö	ö	PROPN
ajpdis-1536	106	7	æ	æ	X
ajpdis-1536	106	8	ö=	ö=	NOUN
ajpdis-1536	106	9	-ç	-ç	PROPN
ajpdis-1536	106	10	֍	֍	PROPN
ajpdis-1536	106	11	÷	÷	X
ajpdis-1536	106	12	ç	ç	SYM
ajpdis-1536	106	13	֍	֍	X
ajpdis-1536	106	14	֦	֦	NOUN
ajpdis-1536	106	15	è	è	PROPN
ajpdis-1536	106	16	ø	ø	X
ajpdis-1536	106	17	è	è	NOUN
ajpdis-1536	106	18	øè	øè	ADP
ajpdis-1536	106	19	ø	ø	PROPN
ajpdis-1536	106	20	å	å	PROPN
ajpdis-1536	106	21	2	2	NUM
ajpdis-1536	106	22	2	2	NUM
ajpdis-1536	106	23	,	,	PUNCT
ajpdis-1536	106	24	1	1	NUM
ajpdis-1536	106	25	1n	1n	NUM
ajpdis-1536	106	26	nae	nae	PROPN
ajpdis-1536	106	27	t	t	PROPN
ajpdis-1536	106	28	l	l	NOUN
ajpdis-1536	106	29	l	l	NOUN
ajpdis-1536	106	30	r	r	NOUN
ajpdis-1536	106	31	r	r	NOUN
ajpdis-1536	106	32	p	p	NOUN
ajpdis-1536	106	33	pæ	pæ	NOUN
ajpdis-1536	106	34	öæ	öæ	ADP
ajpdis-1536	106	35	ö	ö	PROPN
ajpdis-1536	106	36	æ	æ	X
ajpdis-1536	106	37	ö£ç	ö£ç	ADJ
ajpdis-1536	106	38	֍	֍	PUNCT
ajpdis-1536	106	39	÷	÷	X
ajpdis-1536	106	40	ç	ç	PUNCT
ajpdis-1536	106	41	֍	֍	X
ajpdis-1536	106	42	֏	֏	PROPN
ajpdis-1536	107	1	ø	ø	PROPN
ajpdis-1536	107	2	è	è	PROPN
ajpdis-1536	107	3	øè	øè	ADP
ajpdis-1536	107	4	ø	ø	PROPN
ajpdis-1536	107	5	(	(	PUNCT
ajpdis-1536	107	6	)	)	PUNCT
ajpdis-1536	107	7	xj	xj	PROPN
ajpdis-1536	107	8	2	2	NUM
ajpdis-1536	107	9	(	(	PUNCT
ajpdis-1536	107	10	,	,	PUNCT
ajpdis-1536	107	11	)	)	PUNCT
ajpdis-1536	107	12	(	(	PUNCT
ajpdis-1536	107	13	,	,	PUNCT
ajpdis-1536	107	14	)	)	PUNCT
ajpdis-1536	107	15	=	=	PUNCT
ajpdis-1536	107	16	0	0	NUM
ajpdis-1536	107	17	t	t	NOUN
ajpdis-1536	107	18	xxd	xxd	PROPN
ajpdis-1536	107	19	v	v	PROPN
ajpdis-1536	107	20	x	x	SYM
ajpdis-1536	107	21	t	t	PROPN
ajpdis-1536	107	22	a	a	DET
ajpdis-1536	107	23	v	v	NOUN
ajpdis-1536	107	24	x	x	PUNCT
ajpdis-1536	107	25	tr	tr	PUNCT
ajpdis-1536	107	26	(	(	PUNCT
ajpdis-1536	107	27	,	,	PUNCT
ajpdis-1536	107	28	)	)	PUNCT
ajpdis-1536	107	29	(	(	PUNCT
ajpdis-1536	107	30	(	(	PUNCT
ajpdis-1536	107	31	0	0	NUM
ajpdis-1536	107	32	,	,	PUNCT
ajpdis-1536	107	33	)	)	PUNCT
ajpdis-1536	107	34	(	(	PUNCT
ajpdis-1536	107	35	0	0	NUM
ajpdis-1536	107	36	,	,	PUNCT
ajpdis-1536	107	37	)	)	PUNCT
ajpdis-1536	107	38	)	)	PUNCT
ajpdis-1536	107	39	td	td	NOUN
ajpdis-1536	107	40	v	v	NOUN
ajpdis-1536	107	41	x	x	SYM
ajpdis-1536	107	42	t	t	NOUN
ajpdis-1536	107	43	c	c	PROPN
ajpdis-1536	107	44	l	l	NOUN
ajpdis-1536	107	45	tr	tr	VERB
ajpdis-1536	107	46	î	î	PROPN
ajpdis-1536	107	47	´	´	NOUN
ajpdis-1536	107	48	>	>	X
ajpdis-1536	107	49	0	0	NUM
ajpdis-1536	107	50	t	t	NOUN
ajpdis-1536	107	51	2	2	NUM
ajpdis-1536	107	52	2	2	NUM
ajpdis-1536	107	53	(	(	PUNCT
ajpdis-1536	107	54	,	,	PUNCT
ajpdis-1536	107	55	)	)	PUNCT
ajpdis-1536	107	56	=	=	SYM
ajpdis-1536	108	1	(	(	PUNCT
ajpdis-1536	108	2	,	,	PUNCT
ajpdis-1536	108	3	)	)	PUNCT
ajpdis-1536	108	4	t	t	PROPN
ajpdis-1536	108	5	j	j	PROPN
ajpdis-1536	108	6	jd	jd	PROPN
ajpdis-1536	108	7	v	v	PROPN
ajpdis-1536	108	8	x	x	SYM
ajpdis-1536	108	9	t	t	NOUN
ajpdis-1536	108	10	v	v	NUM
ajpdis-1536	108	11	x	x	SYM
ajpdis-1536	108	12	t	t	NOUN
ajpdis-1536	108	13	x	x	SYM
ajpdis-1536	108	14	r	r	NOUN
ajpdis-1536	108	15	¶	¶	PROPN
ajpdis-1536	108	16	¶	¶	PROPN
ajpdis-1536	108	17	(	(	PUNCT
ajpdis-1536	108	18	,	,	PUNCT
ajpdis-1536	108	19	)	)	PUNCT
ajpdis-1536	108	20	(	(	PUNCT
ajpdis-1536	108	21	(	(	PUNCT
ajpdis-1536	108	22	0	0	NUM
ajpdis-1536	108	23	,	,	PUNCT
ajpdis-1536	108	24	)	)	PUNCT
ajpdis-1536	108	25	(	(	PUNCT
ajpdis-1536	108	26	0	0	NUM
ajpdis-1536	108	27	,	,	PUNCT
ajpdis-1536	108	28	)	)	PUNCT
ajpdis-1536	108	29	)	)	PUNCT
ajpdis-1536	109	1	td	td	NOUN
ajpdis-1536	109	2	v	v	NOUN
ajpdis-1536	109	3	x	x	SYM
ajpdis-1536	109	4	t	t	NOUN
ajpdis-1536	109	5	c	c	PROPN
ajpdis-1536	109	6	l	l	NOUN
ajpdis-1536	109	7	tr	tr	VERB
ajpdis-1536	109	8	î	î	PROPN
ajpdis-1536	109	9	´	´	PROPN
ajpdis-1536	109	10	>	>	X
ajpdis-1536	109	11	0	0	NUM
ajpdis-1536	109	12	t	t	NOUN
ajpdis-1536	109	13	(	(	PUNCT
ajpdis-1536	109	14	,	,	PUNCT
ajpdis-1536	109	15	)	)	PUNCT
ajpdis-1536	109	16	w	w	NOUN
ajpdis-1536	109	17	x	x	SYM
ajpdis-1536	109	18	t	t	PROPN
ajpdis-1536	109	19	1	1	NUM
ajpdis-1536	109	20	(	(	PUNCT
ajpdis-1536	109	21	,	,	PUNCT
ajpdis-1536	109	22	)	)	PUNCT
ajpdis-1536	109	23	(	(	PUNCT
ajpdis-1536	109	24	)	)	PUNCT
ajpdis-1536	109	25	sinn	sinn	PROPN
ajpdis-1536	109	26	n	n	PROPN
ajpdis-1536	109	27	nxw	nxw	NOUN
ajpdis-1536	109	28	x	x	X
ajpdis-1536	109	29	t	t	PROPN
ajpdis-1536	109	30	t	t	PROPN
ajpdis-1536	109	31	t	t	PROPN
ajpdis-1536	109	32	l	l	PROPN
ajpdis-1536	109	33	p¥	p¥	PROPN
ajpdis-1536	109	34	=	=	SYM
ajpdis-1536	109	35	=	=	SYM
ajpdis-1536	109	36	×å	×å	ADJ
ajpdis-1536	109	37	2	2	NUM
ajpdis-1536	109	38	2	2	NUM
ajpdis-1536	109	39	(	(	PUNCT
ajpdis-1536	109	40	)	)	PUNCT
ajpdis-1536	109	41	(	(	PUNCT
ajpdis-1536	109	42	)	)	PUNCT
ajpdis-1536	109	43	=	=	SYM
ajpdis-1536	109	44	(	(	PUNCT
ajpdis-1536	109	45	)	)	PUNCT
ajpdis-1536	109	46	t	t	PROPN
ajpdis-1536	109	47	n	n	CCONJ
ajpdis-1536	109	48	n	n	PROPN
ajpdis-1536	109	49	n	n	PROPN
ajpdis-1536	109	50	nd	nd	NOUN
ajpdis-1536	109	51	t	t	PROPN
ajpdis-1536	109	52	t	t	PROPN
ajpdis-1536	109	53	a	a	DET
ajpdis-1536	109	54	t	t	NOUN
ajpdis-1536	109	55	t	t	X
ajpdis-1536	110	1	f	f	X
ajpdis-1536	110	2	x	x	SYM
ajpdis-1536	110	3	l	l	NOUN
ajpdis-1536	110	4	r	r	NOUN
ajpdis-1536	110	5	pæ	pæ	NOUN
ajpdis-1536	110	6	ö+	ö+	PUNCT
ajpdis-1536	110	7	ç	ç	PROPN
ajpdis-1536	110	8	÷	÷	PUNCT
ajpdis-1536	110	9	è	è	PROPN
ajpdis-1536	110	10	ø	ø	PROPN
ajpdis-1536	110	11	(	(	PUNCT
ajpdis-1536	110	12	0	0	NUM
ajpdis-1536	110	13	)	)	PUNCT
ajpdis-1536	110	14	0nt	0nt	NOUN
ajpdis-1536	111	1	+	+	CCONJ
ajpdis-1536	111	2	=	=	SYM
ajpdis-1536	111	3	308	308	NUM
ajpdis-1536	111	4	american	american	ADJ
ajpdis-1536	111	5	journal	journal	PROPN
ajpdis-1536	111	6	of	of	ADP
ajpdis-1536	111	7	public	public	ADJ
ajpdis-1536	111	8	diplomacy	diplomacy	NOUN
ajpdis-1536	111	9	and	and	CCONJ
ajpdis-1536	111	10	international	international	ADJ
ajpdis-1536	111	11	studies	study	NOUN
ajpdis-1536	111	12	www.grnjournal.us	www.grnjournal.us	PROPN
ajpdis-1536	111	13	(	(	PUNCT
ajpdis-1536	111	14	1.28	1.28	NUM
ajpdis-1536	111	15	)	)	PUNCT
ajpdis-1536	111	16	let	let	VERB
ajpdis-1536	111	17	's	us	PRON
ajpdis-1536	111	18	get	get	VERB
ajpdis-1536	111	19	to	to	ADP
ajpdis-1536	111	20	the	the	DET
ajpdis-1536	111	21	point	point	NOUN
ajpdis-1536	111	22	.	.	PUNCT
ajpdis-1536	112	1	solving	solve	VERB
ajpdis-1536	112	2	it	it	PRON
ajpdis-1536	112	3	,	,	PUNCT
ajpdis-1536	112	4	we	we	PRON
ajpdis-1536	112	5	get	get	VERB
ajpdis-1536	112	6	the	the	DET
ajpdis-1536	112	7	following	follow	VERB
ajpdis-1536	112	8	formal	formal	ADJ
ajpdis-1536	112	9	solution	solution	NOUN
ajpdis-1536	112	10	(	(	PUNCT
ajpdis-1536	112	11	see	see	VERB
ajpdis-1536	112	12	[	[	X
ajpdis-1536	112	13	kielbas	kielbas	NOUN
ajpdis-1536	112	14	]	]	PUNCT
ajpdis-1536	112	15	)	)	PUNCT
ajpdis-1536	112	16	.	.	PUNCT
ajpdis-1536	113	1	(	(	PUNCT
ajpdis-1536	113	2	1.29	1.29	NUM
ajpdis-1536	113	3	)	)	PUNCT
ajpdis-1536	113	4	if	if	SCONJ
ajpdis-1536	113	5	function	function	NOUN
ajpdis-1536	113	6	given	give	VERB
ajpdis-1536	113	7	that	that	PRON
ajpdis-1536	113	8	does	do	AUX
ajpdis-1536	113	9	not	not	PART
ajpdis-1536	113	10	depend	depend	VERB
ajpdis-1536	113	11	on	on	ADP
ajpdis-1536	113	12	,	,	PUNCT
ajpdis-1536	113	13	then	then	ADV
ajpdis-1536	113	14	we	we	PRON
ajpdis-1536	113	15	form	form	VERB
ajpdis-1536	113	16	the	the	DET
ajpdis-1536	113	17	equation	equation	NOUN
ajpdis-1536	113	18	.	.	PUNCT
ajpdis-1536	114	1	if	if	SCONJ
ajpdis-1536	114	2	taking	take	VERB
ajpdis-1536	114	3	into	into	ADP
ajpdis-1536	114	4	account	account	NOUN
ajpdis-1536	114	5	the	the	DET
ajpdis-1536	114	6	situation	situation	NOUN
ajpdis-1536	114	7	,	,	PUNCT
ajpdis-1536	114	8	then	then	ADV
ajpdis-1536	114	9	we	we	PRON
ajpdis-1536	114	10	obtain	obtain	VERB
ajpdis-1536	114	11	the	the	DET
ajpdis-1536	114	12	following	follow	VERB
ajpdis-1536	114	13	solution	solution	NOUN
ajpdis-1536	114	14	for	for	ADP
ajpdis-1536	114	15	the	the	DET
ajpdis-1536	114	16	problem	problem	NOUN
ajpdis-1536	114	17	(	(	PUNCT
ajpdis-1536	114	18	3.1.28	3.1.28	NUM
ajpdis-1536	114	19	):	):	PUNCT
ajpdis-1536	114	20	.	.	PUNCT
ajpdis-1536	115	1	thus	thus	ADV
ajpdis-1536	115	2	,	,	PUNCT
ajpdis-1536	115	3	we	we	PRON
ajpdis-1536	115	4	have	have	VERB
ajpdis-1536	115	5	the	the	DET
ajpdis-1536	115	6	following	follow	VERB
ajpdis-1536	115	7	formal	formal	ADJ
ajpdis-1536	115	8	solution	solution	NOUN
ajpdis-1536	115	9	to	to	ADP
ajpdis-1536	115	10	problem	problem	NOUN
ajpdis-1536	115	11	(	(	PUNCT
ajpdis-1536	115	12	1.11)–(1.14	1.11)–(1.14	NUM
ajpdis-1536	115	13	):	):	PUNCT
ajpdis-1536	115	14	.	.	PUNCT
ajpdis-1536	116	1	(	(	PUNCT
ajpdis-1536	116	2	1.30	1.30	NUM
ajpdis-1536	116	3	)	)	PUNCT
ajpdis-1536	116	4	now	now	ADV
ajpdis-1536	116	5	we	we	PRON
ajpdis-1536	116	6	show	show	VERB
ajpdis-1536	116	7	that	that	SCONJ
ajpdis-1536	116	8	this	this	DET
ajpdis-1536	116	9	series	series	NOUN
ajpdis-1536	116	10	is	be	AUX
ajpdis-1536	116	11	flat	flat	ADJ
ajpdis-1536	116	12	convergent	convergent	NOUN
ajpdis-1536	116	13	.	.	PUNCT
ajpdis-1536	117	1	for	for	ADP
ajpdis-1536	117	2	this	this	PRON
ajpdis-1536	117	3	,	,	PUNCT
ajpdis-1536	117	4	the	the	DET
ajpdis-1536	117	5	partial	partial	ADJ
ajpdis-1536	117	6	sum	sum	NOUN
ajpdis-1536	117	7	of	of	ADP
ajpdis-1536	117	8	the	the	DET
ajpdis-1536	117	9	series	series	NOUN
ajpdis-1536	117	10	(	(	PUNCT
ajpdis-1536	117	11	1.30	1.30	NUM
ajpdis-1536	117	12	)	)	PUNCT
ajpdis-1536	117	13	.	.	PUNCT
ajpdis-1536	118	1	we	we	PRON
ajpdis-1536	118	2	define	define	VERB
ajpdis-1536	118	3	as	as	SCONJ
ajpdis-1536	118	4	if	if	SCONJ
ajpdis-1536	118	5	the	the	DET
ajpdis-1536	118	6	mittag	mittag	ADJ
ajpdis-1536	118	7	–	–	PUNCT
ajpdis-1536	118	8	leffler	leffler	NOUN
ajpdis-1536	118	9	function	function	NOUN
ajpdis-1536	118	10	from	from	ADP
ajpdis-1536	118	11	the	the	DET
ajpdis-1536	118	12	estimate	estimate	NOUN
ajpdis-1536	118	13	,	,	PUNCT
ajpdis-1536	118	14	(	(	PUNCT
ajpdis-1536	118	15	1.30	1.30	NUM
ajpdis-1536	118	16	)	)	PUNCT
ajpdis-1536	118	17	results	result	NOUN
ajpdis-1536	118	18	in	in	ADP
ajpdis-1536	118	19	smooth	smooth	ADJ
ajpdis-1536	118	20	convergence	convergence	NOUN
ajpdis-1536	118	21	of	of	ADP
ajpdis-1536	118	22	the	the	DET
ajpdis-1536	118	23	series	series	NOUN
ajpdis-1536	118	24	.	.	PUNCT
ajpdis-1536	119	1	of	of	ADP
ajpdis-1536	119	2	flat	flat	ADJ
ajpdis-1536	119	3	approachability	approachability	NOUN
ajpdis-1536	119	4	at	at	ADP
ajpdis-1536	119	5	price	price	NOUN
ajpdis-1536	119	6	and	and	CCONJ
ajpdis-1536	119	7	of	of	ADP
ajpdis-1536	119	8	the	the	DET
ajpdis-1536	119	9	function	function	NOUN
ajpdis-1536	119	10	properties	property	NOUN
ajpdis-1536	119	11	soon	soon	ADV
ajpdis-1536	119	12	come	come	VERB
ajpdis-1536	119	13	comes	come	VERB
ajpdis-1536	119	14	out	out	ADP
ajpdis-1536	119	15	2	2	NUM
ajpdis-1536	119	16	2	2	NUM
ajpdis-1536	119	17	(	(	PUNCT
ajpdis-1536	119	18	)	)	PUNCT
ajpdis-1536	119	19	(	(	PUNCT
ajpdis-1536	119	20	)	)	PUNCT
ajpdis-1536	119	21	=	=	SYM
ajpdis-1536	119	22	(	(	PUNCT
ajpdis-1536	119	23	)	)	PUNCT
ajpdis-1536	119	24	,	,	PUNCT
ajpdis-1536	119	25	(	(	PUNCT
ajpdis-1536	119	26	0	0	NUM
ajpdis-1536	119	27	)	)	PUNCT
ajpdis-1536	119	28	0	0	NUM
ajpdis-1536	119	29	,	,	PUNCT
ajpdis-1536	119	30	t	t	PROPN
ajpdis-1536	119	31	n	n	CCONJ
ajpdis-1536	119	32	n	n	PROPN
ajpdis-1536	119	33	n	n	PROPN
ajpdis-1536	119	34	n	n	ADV
ajpdis-1536	119	35	nd	nd	NOUN
ajpdis-1536	119	36	t	t	PROPN
ajpdis-1536	119	37	t	t	PROPN
ajpdis-1536	119	38	a	a	DET
ajpdis-1536	119	39	t	t	NOUN
ajpdis-1536	119	40	t	t	X
ajpdis-1536	119	41	f	f	X
ajpdis-1536	120	1	x	x	SYM
ajpdis-1536	120	2	l	l	NOUN
ajpdis-1536	120	3	t	t	NOUN
ajpdis-1536	120	4	r	r	NOUN
ajpdis-1536	120	5	pì	pì	PROPN
ajpdis-1536	120	6	æ	æ	PROPN
ajpdis-1536	120	7	ö+ï	ö+ï	NUM
ajpdis-1536	120	8	ç	ç	X
ajpdis-1536	120	9	֒	֒	NOUN
ajpdis-1536	120	10	è	è	PROPN
ajpdis-1536	120	11	ø	ø	X
ajpdis-1536	120	12	ï	ï	X
ajpdis-1536	120	13	+	+	CCONJ
ajpdis-1536	120	14	=	=	PUNCT
ajpdis-1536	120	15	î	î	X
ajpdis-1536	120	16	(	(	PUNCT
ajpdis-1536	120	17	)	)	PUNCT
ajpdis-1536	120	18	1	1	NUM
ajpdis-1536	120	19	,	,	PUNCT
ajpdis-1536	120	20	0	0	NUM
ajpdis-1536	120	21	(	(	PUNCT
ajpdis-1536	120	22	)	)	PUNCT
ajpdis-1536	120	23	(	(	PUNCT
ajpdis-1536	120	24	t	t	PROPN
ajpdis-1536	120	25	)	)	PUNCT
ajpdis-1536	120	26	t	t	PROPN
ajpdis-1536	120	27	n	n	PROPN
ajpdis-1536	120	28	n	n	PROPN
ajpdis-1536	120	29	nt	not	PART
ajpdis-1536	120	30	t	t	PROPN
ajpdis-1536	120	31	e	e	PROPN
ajpdis-1536	120	32	f	f	PROPN
ajpdis-1536	120	33	dr	dr	PROPN
ajpdis-1536	120	34	r	r	PROPN
ajpdis-1536	120	35	r	r	PROPN
ajpdis-1536	120	36	rh	rh	NOUN
ajpdis-1536	120	37	l	l	NOUN
ajpdis-1536	120	38	h	h	NOUN
ajpdis-1536	120	39	h	h	PROPN
ajpdis-1536	120	40	h-=	h-=	PROPN
ajpdis-1536	120	41	-ò	-ò	PUNCT
ajpdis-1536	120	42	(	(	PUNCT
ajpdis-1536	120	43	)	)	PUNCT
ajpdis-1536	120	44	f	f	PROPN
ajpdis-1536	120	45	x	x	SYM
ajpdis-1536	120	46	t	t	PROPN
ajpdis-1536	120	47	(	(	PUNCT
ajpdis-1536	120	48	)	)	PUNCT
ajpdis-1536	120	49	(	(	PUNCT
ajpdis-1536	120	50	)	)	PUNCT
ajpdis-1536	120	51	1	1	NUM
ajpdis-1536	120	52	1	1	NUM
ajpdis-1536	120	53	,	,	PUNCT
ajpdis-1536	120	54	,	,	PUNCT
ajpdis-1536	120	55	0	0	NUM
ajpdis-1536	120	56	0	0	NUM
ajpdis-1536	120	57	(	(	PUNCT
ajpdis-1536	120	58	t	t	PROPN
ajpdis-1536	120	59	)	)	PUNCT
ajpdis-1536	120	60	t	t	PROPN
ajpdis-1536	120	61	t	t	PROPN
ajpdis-1536	120	62	n	n	PROPN
ajpdis-1536	120	63	n	n	CCONJ
ajpdis-1536	120	64	n	n	CCONJ
ajpdis-1536	120	65	ne	ne	NOUN
ajpdis-1536	120	66	f	f	PROPN
ajpdis-1536	121	1	d	d	X
ajpdis-1536	121	2	f	f	PROPN
ajpdis-1536	121	3	e	e	PROPN
ajpdis-1536	121	4	dr	dr	PROPN
ajpdis-1536	121	5	r	r	NOUN
ajpdis-1536	121	6	r	r	NOUN
ajpdis-1536	121	7	r	r	NOUN
ajpdis-1536	121	8	r	r	NOUN
ajpdis-1536	121	9	r	r	NOUN
ajpdis-1536	121	10	r	r	NOUN
ajpdis-1536	121	11	rh	rh	NOUN
ajpdis-1536	121	12	l	l	NOUN
ajpdis-1536	121	13	h	h	NOUN
ajpdis-1536	121	14	h	h	NOUN
ajpdis-1536	122	1	h	h	NOUN
ajpdis-1536	122	2	h	h	NOUN
ajpdis-1536	122	3	l	l	PROPN
ajpdis-1536	122	4	h	h	PROPN
ajpdis-1536	122	5	h-=	h-=	PROPN
ajpdis-1536	122	6	-ò	-ò	PUNCT
ajpdis-1536	122	7	ò	ò	X
ajpdis-1536	122	8	(	(	PUNCT
ajpdis-1536	122	9	)	)	PUNCT
ajpdis-1536	122	10	(	(	PUNCT
ajpdis-1536	122	11	)	)	PUNCT
ajpdis-1536	122	12	1	1	NUM
ajpdis-1536	122	13	,	,	PUNCT
ajpdis-1536	122	14	,	,	PUNCT
ajpdis-1536	122	15	1	1	NUM
ajpdis-1536	122	16	0	0	NUM
ajpdis-1536	122	17	t	t	PROPN
ajpdis-1536	122	18	n	n	PROPN
ajpdis-1536	122	19	ne	ne	PROPN
ajpdis-1536	122	20	d	d	PROPN
ajpdis-1536	122	21	t	t	PROPN
ajpdis-1536	122	22	e	e	NOUN
ajpdis-1536	122	23	tr	tr	NOUN
ajpdis-1536	122	24	r	r	NOUN
ajpdis-1536	122	25	r	r	NOUN
ajpdis-1536	122	26	r	r	NOUN
ajpdis-1536	122	27	r	r	NOUN
ajpdis-1536	122	28	r	r	NOUN
ajpdis-1536	122	29	r	r	NOUN
ajpdis-1536	122	30	rh	rh	NOUN
ajpdis-1536	122	31	l	l	NOUN
ajpdis-1536	122	32	h	h	NOUN
ajpdis-1536	122	33	h	h	NOUN
ajpdis-1536	123	1	l+=	l+=	NOUN
ajpdis-1536	123	2	-ò	-ò	PUNCT
ajpdis-1536	123	3	2	2	NUM
ajpdis-1536	123	4	,	,	PUNCT
ajpdis-1536	123	5	1	1	NUM
ajpdis-1536	123	6	(	(	PUNCT
ajpdis-1536	123	7	)	)	PUNCT
ajpdis-1536	123	8	n	n	CCONJ
ajpdis-1536	123	9	n	n	PROPN
ajpdis-1536	123	10	nat	nat	NOUN
ajpdis-1536	123	11	t	t	PROPN
ajpdis-1536	123	12	f	f	PROPN
ajpdis-1536	123	13	t	t	PROPN
ajpdis-1536	123	14	e	e	X
ajpdis-1536	123	15	t	t	NOUN
ajpdis-1536	124	1	l	l	NOUN
ajpdis-1536	124	2	r	r	NOUN
ajpdis-1536	124	3	r	r	NOUN
ajpdis-1536	124	4	r	r	NOUN
ajpdis-1536	124	5	r	r	NOUN
ajpdis-1536	124	6	p	p	NOUN
ajpdis-1536	124	7	+	+	CCONJ
ajpdis-1536	124	8	æ	æ	X
ajpdis-1536	124	9	öæ	öæ	ADP
ajpdis-1536	124	10	ö=	ö=	NOUN
ajpdis-1536	124	11	-ç	-ç	PROPN
ajpdis-1536	124	12	֍	֍	X
ajpdis-1536	124	13	֍	֍	X
ajpdis-1536	124	14	֏	֏	ADV
ajpdis-1536	124	15	øè	øè	PROPN
ajpdis-1536	124	16	ø	ø	PROPN
ajpdis-1536	124	17	2	2	NUM
ajpdis-1536	124	18	,	,	PUNCT
ajpdis-1536	124	19	1	1	NUM
ajpdis-1536	124	20	1	1	NUM
ajpdis-1536	124	21	(	(	PUNCT
ajpdis-1536	124	22	,	,	PUNCT
ajpdis-1536	124	23	)	)	PUNCT
ajpdis-1536	124	24	sinn	sinn	PROPN
ajpdis-1536	124	25	n	n	INTJ
ajpdis-1536	124	26	na	na	INTJ
ajpdis-1536	124	27	nxw	nxw	NOUN
ajpdis-1536	125	1	x	x	X
ajpdis-1536	125	2	t	t	NOUN
ajpdis-1536	125	3	f	f	PROPN
ajpdis-1536	125	4	t	t	PROPN
ajpdis-1536	125	5	e	e	X
ajpdis-1536	125	6	t	t	PROPN
ajpdis-1536	125	7	l	l	NOUN
ajpdis-1536	125	8	l	l	NOUN
ajpdis-1536	125	9	r	r	NOUN
ajpdis-1536	125	10	r	r	NOUN
ajpdis-1536	125	11	r	r	NOUN
ajpdis-1536	125	12	r	r	NOUN
ajpdis-1536	125	13	p	p	NOUN
ajpdis-1536	125	14	p¥	p¥	PROPN
ajpdis-1536	125	15	+	+	PROPN
ajpdis-1536	125	16	=	=	SYM
ajpdis-1536	125	17	æ	æ	X
ajpdis-1536	125	18	öæ	öæ	INTJ
ajpdis-1536	125	19	ö=	ö=	VERB
ajpdis-1536	125	20	×ç	×ç	X
ajpdis-1536	125	21	֍	֍	X
ajpdis-1536	125	22	֍	֍	X
ajpdis-1536	125	23	֏	֏	ADV
ajpdis-1536	125	24	øè	øè	ADP
ajpdis-1536	125	25	ø	ø	PROPN
ajpdis-1536	125	26	å	å	PROPN
ajpdis-1536	125	27	2	2	NUM
ajpdis-1536	125	28	,	,	PUNCT
ajpdis-1536	125	29	1	1	NUM
ajpdis-1536	125	30	1	1	NUM
ajpdis-1536	125	31	(	(	PUNCT
ajpdis-1536	125	32	,	,	PUNCT
ajpdis-1536	125	33	)	)	PUNCT
ajpdis-1536	125	34	sin	sin	NOUN
ajpdis-1536	125	35	j	j	PROPN
ajpdis-1536	125	36	j	j	PROPN
ajpdis-1536	125	37	n	n	CCONJ
ajpdis-1536	125	38	n	n	ADV
ajpdis-1536	125	39	na	na	VERB
ajpdis-1536	125	40	nxw	nxw	NOUN
ajpdis-1536	126	1	x	x	X
ajpdis-1536	126	2	t	t	NOUN
ajpdis-1536	126	3	f	f	PROPN
ajpdis-1536	126	4	t	t	PROPN
ajpdis-1536	126	5	e	e	X
ajpdis-1536	126	6	t	t	PROPN
ajpdis-1536	126	7	l	l	NOUN
ajpdis-1536	126	8	l	l	NOUN
ajpdis-1536	126	9	r	r	NOUN
ajpdis-1536	126	10	r	r	NOUN
ajpdis-1536	126	11	r	r	NOUN
ajpdis-1536	126	12	r	r	NOUN
ajpdis-1536	126	13	p	p	NOUN
ajpdis-1536	126	14	p	p	X
ajpdis-1536	127	1	+	+	PROPN
ajpdis-1536	127	2	=	=	SYM
ajpdis-1536	127	3	æ	æ	X
ajpdis-1536	127	4	öæ	öæ	INTJ
ajpdis-1536	127	5	ö=	ö=	VERB
ajpdis-1536	127	6	×ç	×ç	X
ajpdis-1536	127	7	֍	֍	X
ajpdis-1536	127	8	֍	֍	X
ajpdis-1536	127	9	֏	֏	ADV
ajpdis-1536	127	10	øè	øè	ADP
ajpdis-1536	127	11	ø	ø	PROPN
ajpdis-1536	127	12	å	å	PROPN
ajpdis-1536	127	13	,	,	PUNCT
ajpdis-1536	127	14	1|	1|	NUM
ajpdis-1536	127	15	(	(	PUNCT
ajpdis-1536	127	16	)	)	PUNCT
ajpdis-1536	128	1	|	|	ADV
ajpdis-1536	128	2	1	1	NUM
ajpdis-1536	128	3	e	e	NOUN
ajpdis-1536	128	4	z	z	PROPN
ajpdis-1536	128	5	zr	zr	PROPN
ajpdis-1536	128	6	µ	µ	X
ajpdis-1536	128	7	£	£	SYM
ajpdis-1536	128	8	+	+	NUM
ajpdis-1536	128	9	(	(	PUNCT
ajpdis-1536	128	10	,	,	PUNCT
ajpdis-1536	128	11	)	)	PUNCT
ajpdis-1536	128	12	xxw	xxw	NOUN
ajpdis-1536	128	13	x	x	PROPN
ajpdis-1536	128	14	t	t	PROPN
ajpdis-1536	128	15	2	2	NUM
ajpdis-1536	128	16	22	22	NUM
ajpdis-1536	128	17	,	,	PUNCT
ajpdis-1536	128	18	12	12	NUM
ajpdis-1536	128	19	1	1	NUM
ajpdis-1536	128	20	(	(	PUNCT
ajpdis-1536	128	21	,	,	PUNCT
ajpdis-1536	128	22	)	)	PUNCT
ajpdis-1536	128	23	sin	sin	NOUN
ajpdis-1536	128	24	j	j	PROPN
ajpdis-1536	128	25	j	j	PROPN
ajpdis-1536	128	26	n	n	CCONJ
ajpdis-1536	128	27	n	n	PROPN
ajpdis-1536	128	28	n	n	ADV
ajpdis-1536	128	29	na	na	INTJ
ajpdis-1536	128	30	nxw	nxw	NOUN
ajpdis-1536	129	1	x	x	X
ajpdis-1536	129	2	t	t	NOUN
ajpdis-1536	129	3	f	f	PROPN
ajpdis-1536	129	4	t	t	PROPN
ajpdis-1536	129	5	e	e	PROPN
ajpdis-1536	129	6	t	t	NOUN
ajpdis-1536	129	7	x	x	X
ajpdis-1536	129	8	l	l	NOUN
ajpdis-1536	129	9	l	l	NOUN
ajpdis-1536	129	10	l	l	NOUN
ajpdis-1536	129	11	r	r	NOUN
ajpdis-1536	129	12	r	r	NOUN
ajpdis-1536	129	13	r	r	NOUN
ajpdis-1536	129	14	r	r	NOUN
ajpdis-1536	129	15	p	p	NOUN
ajpdis-1536	129	16	p	p	X
ajpdis-1536	129	17	p	p	X
ajpdis-1536	130	1	+	+	PROPN
ajpdis-1536	130	2	=	=	SYM
ajpdis-1536	130	3	æ	æ	X
ajpdis-1536	130	4	ö¶	ö¶	X
ajpdis-1536	130	5	æ	æ	X
ajpdis-1536	130	6	ö	ö	PROPN
ajpdis-1536	130	7	æ	æ	X
ajpdis-1536	130	8	ö=	ö=	VERB
ajpdis-1536	130	9	×ç	×ç	X
ajpdis-1536	130	10	֍	֍	X
ajpdis-1536	130	11	÷	÷	NUM
ajpdis-1536	130	12	ç	ç	PRON
ajpdis-1536	130	13	֍	֍	X
ajpdis-1536	130	14	֦	֦	NOUN
ajpdis-1536	130	15	è	è	PROPN
ajpdis-1536	130	16	ø	ø	X
ajpdis-1536	130	17	è	è	NOUN
ajpdis-1536	130	18	øè	øè	ADP
ajpdis-1536	130	19	ø	ø	PROPN
ajpdis-1536	130	20	å	å	PROPN
ajpdis-1536	130	21	2	2	NUM
ajpdis-1536	130	22	2	2	NUM
ajpdis-1536	130	23	,	,	PUNCT
ajpdis-1536	131	1	1	1	NUM
ajpdis-1536	131	2	1n	1n	NUM
ajpdis-1536	131	3	nae	nae	PROPN
ajpdis-1536	131	4	t	t	PROPN
ajpdis-1536	131	5	l	l	NOUN
ajpdis-1536	131	6	l	l	NOUN
ajpdis-1536	131	7	r	r	NOUN
ajpdis-1536	131	8	r	r	NOUN
ajpdis-1536	131	9	r	r	NOUN
ajpdis-1536	131	10	p	p	NOUN
ajpdis-1536	131	11	p	p	NOUN
ajpdis-1536	131	12	+	+	NOUN
ajpdis-1536	131	13	æ	æ	PROPN
ajpdis-1536	131	14	öæ	öæ	ADP
ajpdis-1536	131	15	ö	ö	PROPN
ajpdis-1536	131	16	æ	æ	X
ajpdis-1536	131	17	ö£ç	ö£ç	ADJ
ajpdis-1536	131	18	֍	֍	PUNCT
ajpdis-1536	131	19	÷	÷	X
ajpdis-1536	131	20	ç	ç	PUNCT
ajpdis-1536	131	21	֍	֍	X
ajpdis-1536	131	22	֏	֏	PROPN
ajpdis-1536	131	23	ø	ø	PROPN
ajpdis-1536	131	24	è	è	PROPN
ajpdis-1536	131	25	øè	øè	ADP
ajpdis-1536	131	26	ø	ø	PROPN
ajpdis-1536	131	27	(	(	PUNCT
ajpdis-1536	131	28	)	)	PUNCT
ajpdis-1536	131	29	f	f	X
ajpdis-1536	131	30	x	x	SYM
ajpdis-1536	131	31	309	309	NUM
ajpdis-1536	131	32	american	american	ADJ
ajpdis-1536	131	33	journal	journal	NOUN
ajpdis-1536	131	34	of	of	ADP
ajpdis-1536	131	35	public	public	ADJ
ajpdis-1536	131	36	diplomacy	diplomacy	NOUN
ajpdis-1536	131	37	and	and	CCONJ
ajpdis-1536	131	38	international	international	ADJ
ajpdis-1536	131	39	studies	study	NOUN
ajpdis-1536	131	40	www.grnjournal.us	www.grnjournal.us	PROPN
ajpdis-1536	131	41	moreover	moreover	ADV
ajpdis-1536	131	42	,	,	PUNCT
ajpdis-1536	131	43	equality	equality	NOUN
ajpdis-1536	131	44	(	(	PUNCT
ajpdis-1536	131	45	1.11	1.11	NUM
ajpdis-1536	131	46	)	)	PUNCT
ajpdis-1536	131	47	it	it	PRON
ajpdis-1536	131	48	follows	follow	VERB
ajpdis-1536	131	49	that	that	SCONJ
ajpdis-1536	131	50	from	from	ADP
ajpdis-1536	131	51	so	so	ADV
ajpdis-1536	131	52	,	,	PUNCT
ajpdis-1536	131	53	it	it	PRON
ajpdis-1536	131	54	follows	follow	VERB
ajpdis-1536	131	55	from	from	ADP
ajpdis-1536	131	56	the	the	DET
ajpdis-1536	131	57	above	above	ADJ
ajpdis-1536	131	58	considerations	consideration	NOUN
ajpdis-1536	131	59	that	that	SCONJ
ajpdis-1536	131	60	the	the	DET
ajpdis-1536	131	61	function	function	NOUN
ajpdis-1536	131	62	(	(	PUNCT
ajpdis-1536	131	63	1.30	1.30	NUM
ajpdis-1536	131	64	)	)	PUNCT
ajpdis-1536	131	65	is	be	AUX
ajpdis-1536	131	66	a	a	DET
ajpdis-1536	131	67	solution	solution	NOUN
ajpdis-1536	131	68	to	to	ADP
ajpdis-1536	131	69	the	the	DET
ajpdis-1536	131	70	problem	problem	NOUN
ajpdis-1536	131	71	(	(	PUNCT
ajpdis-1536	131	72	1.11	1.11	NUM
ajpdis-1536	131	73	)	)	PUNCT
ajpdis-1536	131	74	(	(	PUNCT
ajpdis-1536	131	75	1.14	1.14	NUM
ajpdis-1536	131	76	)	)	PUNCT
ajpdis-1536	131	77	.	.	PUNCT
ajpdis-1536	132	1	summarizing	summarize	VERB
ajpdis-1536	132	2	these	these	DET
ajpdis-1536	132	3	solutions	solution	NOUN
ajpdis-1536	132	4	,	,	PUNCT
ajpdis-1536	132	5	we	we	PRON
ajpdis-1536	132	6	get	get	VERB
ajpdis-1536	132	7	the	the	DET
ajpdis-1536	132	8	following	follow	VERB
ajpdis-1536	132	9	solution	solution	NOUN
ajpdis-1536	132	10	for	for	ADP
ajpdis-1536	132	11	problem	problem	NOUN
ajpdis-1536	132	12	(	(	PUNCT
ajpdis-1536	132	13	1.7	1.7	NUM
ajpdis-1536	132	14	)	)	PUNCT
ajpdis-1536	132	15	(	(	PUNCT
ajpdis-1536	132	16	1.10	1.10	NUM
ajpdis-1536	132	17	)	)	PUNCT
ajpdis-1536	132	18	:	:	PUNCT
ajpdis-1536	132	19	(	(	PUNCT
ajpdis-1536	132	20	1.31	1.31	NUM
ajpdis-1536	132	21	)	)	PUNCT
ajpdis-1536	132	22	thus	thus	ADV
ajpdis-1536	132	23	,	,	PUNCT
ajpdis-1536	132	24	by	by	ADP
ajpdis-1536	132	25	the	the	DET
ajpdis-1536	132	26	formula	formula	NOUN
ajpdis-1536	132	27	(	(	PUNCT
ajpdis-1536	132	28	1.6	1.6	NUM
ajpdis-1536	132	29	)	)	PUNCT
ajpdis-1536	132	30	.	.	PUNCT
ajpdis-1536	133	1	determined	determine	VERB
ajpdis-1536	133	2	function	function	NOUN
ajpdis-1536	133	3	(	(	PUNCT
ajpdis-1536	133	4	1.7	1.7	NUM
ajpdis-1536	133	5	)	)	PUNCT
ajpdis-1536	133	6	(	(	PUNCT
ajpdis-1536	133	7	1.10	1.10	NUM
ajpdis-1536	133	8	)	)	PUNCT
ajpdis-1536	133	9	will	will	AUX
ajpdis-1536	133	10	be	be	AUX
ajpdis-1536	133	11	the	the	DET
ajpdis-1536	133	12	solution	solution	NOUN
ajpdis-1536	133	13	of	of	ADP
ajpdis-1536	133	14	the	the	DET
ajpdis-1536	133	15	problem	problem	NOUN
ajpdis-1536	133	16	.	.	PUNCT
ajpdis-1536	134	1	list	list	NOUN
ajpdis-1536	134	2	of	of	ADP
ajpdis-1536	134	3	used	use	VERB
ajpdis-1536	134	4	literature	literature	NOUN
ajpdis-1536	134	5	.	.	PUNCT
ajpdis-1536	135	1	1	1	X
ajpdis-1536	135	2	.	.	X
ajpdis-1536	135	3	qizi	qizi	PROPN
ajpdis-1536	135	4	latipova	latipova	PROPN
ajpdis-1536	135	5	,	,	PUNCT
ajpdis-1536	135	6	s.	s.	PROPN
ajpdis-1536	135	7	s.	s.	PROPN
ajpdis-1536	135	8	(	(	PUNCT
ajpdis-1536	135	9	2023	2023	NUM
ajpdis-1536	135	10	)	)	PUNCT
ajpdis-1536	135	11	.	.	PUNCT
ajpdis-1536	136	1	riman	riman	NOUN
ajpdis-1536	136	2	-	-	PUNCT
ajpdis-1536	136	3	luivill	luivill	ADJ
ajpdis-1536	136	4	kasr	kasr	PROPN
ajpdis-1536	136	5	tartibli	tartibli	PROPN
ajpdis-1536	136	6	integrali	integrali	PROPN
ajpdis-1536	136	7	va	va	PROPN
ajpdis-1536	136	8	hosilasiga	hosilasiga	PROPN
ajpdis-1536	136	9	oid	oid	NOUN
ajpdis-1536	136	10	ayrim	ayrim	PROPN
ajpdis-1536	136	11	masalalarning	masalalarning	PROPN
ajpdis-1536	136	12	ishlanishi	ishlanishi	PROPN
ajpdis-1536	136	13	.	.	PUNCT
ajpdis-1536	137	1	educational	educational	ADJ
ajpdis-1536	137	2	research	research	NOUN
ajpdis-1536	137	3	in	in	ADP
ajpdis-1536	137	4	universal	universal	ADJ
ajpdis-1536	137	5	sciences	science	NOUN
ajpdis-1536	137	6	,	,	PUNCT
ajpdis-1536	137	7	2(12	2(12	NUM
ajpdis-1536	137	8	)	)	PUNCT
ajpdis-1536	137	9	,	,	PUNCT
ajpdis-1536	137	10	216	216	NUM
ajpdis-1536	137	11	-	-	SYM
ajpdis-1536	137	12	220	220	NUM
ajpdis-1536	137	13	.	.	NOUN
ajpdis-1536	137	14	2	2	NUM
ajpdis-1536	137	15	.	.	X
ajpdis-1536	137	16	qizi	qizi	PROPN
ajpdis-1536	137	17	latipova	latipova	PROPN
ajpdis-1536	137	18	,	,	PUNCT
ajpdis-1536	137	19	s.	s.	PROPN
ajpdis-1536	137	20	s.	s.	PROPN
ajpdis-1536	137	21	(	(	PUNCT
ajpdis-1536	137	22	2023	2023	NUM
ajpdis-1536	137	23	)	)	PUNCT
ajpdis-1536	137	24	.	.	PUNCT
ajpdis-1536	138	1	mittag	mittag	ADJ
ajpdis-1536	138	2	–	–	PUNCT
ajpdis-1536	138	3	liffler	liffler	NOUN
ajpdis-1536	138	4	funksiyasi	funksiyasi	PROPN
ajpdis-1536	138	5	va	va	PROPN
ajpdis-1536	138	6	uni	uni	PROPN
ajpdis-1536	138	7	hisoblash	hisoblash	NOUN
ajpdis-1536	138	8	usullari	usullari	PROPN
ajpdis-1536	138	9	.	.	PUNCT
ajpdis-1536	139	1	educational	educational	ADJ
ajpdis-1536	139	2	research	research	NOUN
ajpdis-1536	139	3	in	in	ADP
ajpdis-1536	139	4	universal	universal	ADJ
ajpdis-1536	139	5	sciences	science	NOUN
ajpdis-1536	139	6	,	,	PUNCT
ajpdis-1536	139	7	2(9	2(9	NUM
ajpdis-1536	139	8	)	)	PUNCT
ajpdis-1536	139	9	,	,	PUNCT
ajpdis-1536	139	10	238244	238244	NUM
ajpdis-1536	139	11	.	.	PUNCT
ajpdis-1536	140	1	3	3	X
ajpdis-1536	140	2	.	.	X
ajpdis-1536	140	3	shahnoza	shahnoza	PROPN
ajpdis-1536	140	4	,	,	PUNCT
ajpdis-1536	140	5	l.	l.	PROPN
ajpdis-1536	140	6	(	(	PUNCT
ajpdis-1536	140	7	2023	2023	NUM
ajpdis-1536	140	8	,	,	PUNCT
ajpdis-1536	140	9	march	march	PROPN
ajpdis-1536	140	10	)	)	PUNCT
ajpdis-1536	140	11	.	.	PUNCT
ajpdis-1536	141	1	kasr	kasr	PROPN
ajpdis-1536	141	2	tartibli	tartibli	PROPN
ajpdis-1536	141	3	tenglamalarda	tenglamalarda	PROPN
ajpdis-1536	141	4	manba	manba	PROPN
ajpdis-1536	141	5	va	va	PROPN
ajpdis-1536	142	1	boshlang’ich	boshlang’ich	PRON
ajpdis-1536	142	2	funksiyani	funksiyani	PROPN
ajpdis-1536	142	3	aniqlash	aniqlash	NOUN
ajpdis-1536	142	4	bo’yicha	bo’yicha	X
ajpdis-1536	142	5	teskari	teskari	PROPN
ajpdis-1536	142	6	masalalar	masalalar	PROPN
ajpdis-1536	142	7	.	.	PUNCT
ajpdis-1536	143	1	in	in	ADP
ajpdis-1536	143	2	"	"	PUNCT
ajpdis-1536	143	3	conference	conference	NOUN
ajpdis-1536	143	4	on	on	ADP
ajpdis-1536	143	5	universal	universal	ADJ
ajpdis-1536	143	6	science	science	NOUN
ajpdis-1536	143	7	research	research	NOUN
ajpdis-1536	143	8	2023	2023	NUM
ajpdis-1536	143	9	"	"	PUNCT
ajpdis-1536	143	10	(	(	PUNCT
ajpdis-1536	143	11	vol	vol	NOUN
ajpdis-1536	143	12	.	.	NOUN
ajpdis-1536	143	13	1	1	NUM
ajpdis-1536	143	14	,	,	PUNCT
ajpdis-1536	143	15	no	no	INTJ
ajpdis-1536	143	16	.	.	NOUN
ajpdis-1536	143	17	3	3	NUM
ajpdis-1536	143	18	,	,	PUNCT
ajpdis-1536	143	19	pp	pp	ADJ
ajpdis-1536	143	20	.	.	PUNCT
ajpdis-1536	143	21	8	8	NUM
ajpdis-1536	143	22	-	-	SYM
ajpdis-1536	143	23	10	10	NUM
ajpdis-1536	143	24	)	)	PUNCT
ajpdis-1536	143	25	.	.	PUNCT
ajpdis-1536	144	1	4	4	X
ajpdis-1536	144	2	.	.	X
ajpdis-1536	144	3	jurakulov	jurakulov	PROPN
ajpdis-1536	144	4	,	,	PUNCT
ajpdis-1536	144	5	s.	s.	PROPN
ajpdis-1536	144	6	z.	z.	PROPN
ajpdis-1536	144	7	(	(	PUNCT
ajpdis-1536	144	8	2023	2023	NUM
ajpdis-1536	144	9	)	)	PUNCT
ajpdis-1536	144	10	.	.	PUNCT
ajpdis-1536	145	1	nuclear	nuclear	ADJ
ajpdis-1536	145	2	energy	energy	NOUN
ajpdis-1536	145	3	.	.	PUNCT
ajpdis-1536	146	1	educational	educational	ADJ
ajpdis-1536	146	2	research	research	NOUN
ajpdis-1536	146	3	in	in	ADP
ajpdis-1536	146	4	universal	universal	ADJ
ajpdis-1536	146	5	sciences	science	NOUN
ajpdis-1536	146	6	,	,	PUNCT
ajpdis-1536	146	7	2(10	2(10	NUM
ajpdis-1536	146	8	)	)	PUNCT
ajpdis-1536	146	9	,	,	PUNCT
ajpdis-1536	146	10	514	514	NUM
ajpdis-1536	146	11	-	-	SYM
ajpdis-1536	146	12	518	518	NUM
ajpdis-1536	146	13	.	.	NOUN
ajpdis-1536	147	1	5	5	NUM
ajpdis-1536	147	2	.	.	X
ajpdis-1536	147	3	qizi	qizi	PROPN
ajpdis-1536	147	4	latipova	latipova	PROPN
ajpdis-1536	147	5	,	,	PUNCT
ajpdis-1536	147	6	s.	s.	PROPN
ajpdis-1536	147	7	s.	s.	PROPN
ajpdis-1536	147	8	(	(	PUNCT
ajpdis-1536	147	9	2023	2023	NUM
ajpdis-1536	147	10	)	)	PUNCT
ajpdis-1536	147	11	.	.	PUNCT
ajpdis-1536	148	1	riman	riman	NOUN
ajpdis-1536	148	2	-	-	PUNCT
ajpdis-1536	148	3	luivill	luivill	ADJ
ajpdis-1536	148	4	kasr	kasr	PROPN
ajpdis-1536	148	5	tartibli	tartibli	PROPN
ajpdis-1536	148	6	integrali	integrali	PROPN
ajpdis-1536	148	7	va	va	PROPN
ajpdis-1536	148	8	hosilasiga	hosilasiga	PROPN
ajpdis-1536	148	9	oid	oid	NOUN
ajpdis-1536	148	10	ayrim	ayrim	PROPN
ajpdis-1536	148	11	masalalarning	masalalarning	PROPN
ajpdis-1536	148	12	ishlanishi	ishlanishi	PROPN
ajpdis-1536	148	13	.	.	PUNCT
ajpdis-1536	149	1	educational	educational	ADJ
ajpdis-1536	149	2	research	research	NOUN
ajpdis-1536	149	3	in	in	ADP
ajpdis-1536	149	4	universal	universal	ADJ
ajpdis-1536	149	5	sciences	science	NOUN
ajpdis-1536	149	6	,	,	PUNCT
ajpdis-1536	149	7	2(12	2(12	NUM
ajpdis-1536	149	8	)	)	PUNCT
ajpdis-1536	149	9	,	,	PUNCT
ajpdis-1536	149	10	216	216	NUM
ajpdis-1536	149	11	-	-	SYM
ajpdis-1536	149	12	220	220	NUM
ajpdis-1536	149	13	.	.	NOUN
ajpdis-1536	150	1	6	6	NUM
ajpdis-1536	150	2	.	.	X
ajpdis-1536	150	3	qizi	qizi	PROPN
ajpdis-1536	150	4	latipova	latipova	PROPN
ajpdis-1536	150	5	,	,	PUNCT
ajpdis-1536	150	6	s.	s.	PROPN
ajpdis-1536	150	7	s.	s.	PROPN
ajpdis-1536	150	8	(	(	PUNCT
ajpdis-1536	150	9	2023	2023	NUM
ajpdis-1536	150	10	)	)	PUNCT
ajpdis-1536	150	11	.	.	PUNCT
ajpdis-1536	151	1	mittag	mittag	ADJ
ajpdis-1536	151	2	–	–	PUNCT
ajpdis-1536	151	3	liffler	liffler	NOUN
ajpdis-1536	151	4	funksiyasi	funksiyasi	PROPN
ajpdis-1536	151	5	va	va	PROPN
ajpdis-1536	151	6	uni	uni	PROPN
ajpdis-1536	151	7	hisoblash	hisoblash	NOUN
ajpdis-1536	151	8	usullari	usullari	PROPN
ajpdis-1536	151	9	.	.	PUNCT
ajpdis-1536	152	1	educational	educational	ADJ
ajpdis-1536	152	2	research	research	NOUN
ajpdis-1536	152	3	in	in	ADP
ajpdis-1536	152	4	universal	universal	ADJ
ajpdis-1536	152	5	sciences	science	NOUN
ajpdis-1536	152	6	,	,	PUNCT
ajpdis-1536	152	7	2(9	2(9	NUM
ajpdis-1536	152	8	)	)	PUNCT
ajpdis-1536	152	9	,	,	PUNCT
ajpdis-1536	152	10	238244	238244	NUM
ajpdis-1536	152	11	.	.	PUNCT
ajpdis-1536	153	1	7	7	X
ajpdis-1536	153	2	.	.	X
ajpdis-1536	153	3	oghly	oghly	ADV
ajpdis-1536	153	4	,	,	PUNCT
ajpdis-1536	153	5	j.	j.	PROPN
ajpdis-1536	153	6	s.	s.	PROPN
ajpdis-1536	153	7	z.	z.	PROPN
ajpdis-1536	153	8	(	(	PUNCT
ajpdis-1536	153	9	2023	2023	NUM
ajpdis-1536	153	10	)	)	PUNCT
ajpdis-1536	153	11	.	.	PUNCT
ajpdis-1536	154	1	physico	physico	NOUN
ajpdis-1536	154	2	-	-	PUNCT
ajpdis-1536	154	3	chemical	chemical	NOUN
ajpdis-1536	154	4	properties	property	NOUN
ajpdis-1536	154	5	of	of	ADP
ajpdis-1536	154	6	polymer	polymer	NOUN
ajpdis-1536	154	7	composites	composite	NOUN
ajpdis-1536	154	8	.	.	PUNCT
ajpdis-1536	155	1	american	american	PROPN
ajpdis-1536	155	2	journal	journal	PROPN
ajpdis-1536	155	3	of	of	ADP
ajpdis-1536	155	4	applied	apply	VERB
ajpdis-1536	155	5	science	science	NOUN
ajpdis-1536	155	6	and	and	CCONJ
ajpdis-1536	155	7	technology	technology	NOUN
ajpdis-1536	155	8	,	,	PUNCT
ajpdis-1536	155	9	3(10	3(10	NUM
ajpdis-1536	155	10	)	)	PUNCT
ajpdis-1536	155	11	,	,	PUNCT
ajpdis-1536	155	12	25	25	NUM
ajpdis-1536	155	13	-	-	SYM
ajpdis-1536	155	14	33	33	NUM
ajpdis-1536	155	15	.	.	NOUN
ajpdis-1536	155	16	8	8	NUM
ajpdis-1536	155	17	.	.	X
ajpdis-1536	155	18	zafarjon	zafarjon	NOUN
ajpdis-1536	155	19	o'g'li	o'g'li	PROPN
ajpdis-1536	155	20	,	,	PUNCT
ajpdis-1536	155	21	z.	z.	PROPN
ajpdis-1536	155	22	s.	s.	PROPN
ajpdis-1536	155	23	(	(	PUNCT
ajpdis-1536	155	24	2023	2023	NUM
ajpdis-1536	155	25	)	)	PUNCT
ajpdis-1536	155	26	.	.	PUNCT
ajpdis-1536	156	1	physical	physical	ADJ
ajpdis-1536	156	2	-	-	PUNCT
ajpdis-1536	156	3	mechanical	mechanical	ADJ
ajpdis-1536	156	4	properties	property	NOUN
ajpdis-1536	156	5	of	of	ADP
ajpdis-1536	156	6	interpolymer	interpolymer	ADJ
ajpdis-1536	156	7	complex	complex	ADJ
ajpdis-1536	156	8	film	film	NOUN
ajpdis-1536	156	9	based	base	VERB
ajpdis-1536	156	10	on	on	ADP
ajpdis-1536	156	11	sodium	sodium	NOUN
ajpdis-1536	156	12	carboxymethyl	carboxymethyl	NOUN
ajpdis-1536	156	13	cellulose	cellulose	NOUN
ajpdis-1536	156	14	and	and	CCONJ
ajpdis-1536	156	15	polyacrylamide	polyacrylamide	NOUN
ajpdis-1536	156	16	.	.	PUNCT
ajpdis-1536	157	1	9	9	X
ajpdis-1536	157	2	.	.	X
ajpdis-1536	157	3	oghly	oghly	ADV
ajpdis-1536	157	4	,	,	PUNCT
ajpdis-1536	157	5	j.	j.	PROPN
ajpdis-1536	157	6	s.	s.	PROPN
ajpdis-1536	157	7	z.	z.	PROPN
ajpdis-1536	157	8	(	(	PUNCT
ajpdis-1536	157	9	2023	2023	NUM
ajpdis-1536	157	10	)	)	PUNCT
ajpdis-1536	157	11	.	.	PUNCT
ajpdis-1536	158	1	the	the	DET
ajpdis-1536	158	2	relationship	relationship	NOUN
ajpdis-1536	158	3	of	of	ADP
ajpdis-1536	158	4	physics	physics	NOUN
ajpdis-1536	158	5	and	and	CCONJ
ajpdis-1536	158	6	art	art	NOUN
ajpdis-1536	158	7	in	in	ADP
ajpdis-1536	158	8	aristotle	aristotle	PROPN
ajpdis-1536	158	9	's	's	PART
ajpdis-1536	158	10	system	system	NOUN
ajpdis-1536	158	11	.	.	PUNCT
ajpdis-1536	159	1	international	international	ADJ
ajpdis-1536	159	2	journal	journal	NOUN
ajpdis-1536	159	3	of	of	ADP
ajpdis-1536	159	4	pedagogics	pedagogic	NOUN
ajpdis-1536	159	5	,	,	PUNCT
ajpdis-1536	159	6	3(11	3(11	NUM
ajpdis-1536	159	7	)	)	PUNCT
ajpdis-1536	159	8	,	,	PUNCT
ajpdis-1536	159	9	67	67	NUM
ajpdis-1536	159	10	-	-	SYM
ajpdis-1536	159	11	73	73	NUM
ajpdis-1536	159	12	.	.	PUNCT
ajpdis-1536	159	13	2	2	NUM
ajpdis-1536	159	14	2	2	NUM
ajpdis-1536	159	15	=	=	SYM
ajpdis-1536	159	16	1	1	NUM
ajpdis-1536	159	17	(	(	PUNCT
ajpdis-1536	159	18	,	,	PUNCT
ajpdis-1536	159	19	)	)	PUNCT
ajpdis-1536	159	20	=	=	SYM
ajpdis-1536	160	1	(	(	PUNCT
ajpdis-1536	160	2	,	,	PUNCT
ajpdis-1536	160	3	)	)	PUNCT
ajpdis-1536	160	4	(	(	PUNCT
ajpdis-1536	160	5	)	)	PUNCT
ajpdis-1536	160	6	sin	sin	NOUN
ajpdis-1536	160	7	,	,	PUNCT
ajpdis-1536	160	8	j	j	PROPN
ajpdis-1536	160	9	t	t	PROPN
ajpdis-1536	160	10	j	j	PROPN
ajpdis-1536	161	1	j	j	PROPN
ajpdis-1536	161	2	k	k	PROPN
ajpdis-1536	161	3	k	k	PROPN
ajpdis-1536	162	1	nxd	nxd	PROPN
ajpdis-1536	163	1	w	w	PROPN
ajpdis-1536	163	2	x	x	PROPN
ajpdis-1536	163	3	t	t	PROPN
ajpdis-1536	163	4	w	w	PROPN
ajpdis-1536	163	5	x	x	PROPN
ajpdis-1536	163	6	t	t	PROPN
ajpdis-1536	163	7	f	f	PROPN
ajpdis-1536	163	8	t	t	PROPN
ajpdis-1536	163	9	lx	lx	ADP
ajpdis-1536	163	10	r	r	NOUN
ajpdis-1536	163	11	p¶	p¶	PUNCT
ajpdis-1536	164	1	+	+	CCONJ
ajpdis-1536	164	2	¶	¶	X
ajpdis-1536	164	3	å	å	X
ajpdis-1536	164	4	>	>	X
ajpdis-1536	164	5	0	0	NUM
ajpdis-1536	164	6	t	t	NOUN
ajpdis-1536	164	7	(	(	PUNCT
ajpdis-1536	164	8	,	,	PUNCT
ajpdis-1536	164	9	)	)	PUNCT
ajpdis-1536	164	10	(	(	PUNCT
ajpdis-1536	164	11	(	(	PUNCT
ajpdis-1536	164	12	0	0	NUM
ajpdis-1536	164	13	,	,	PUNCT
ajpdis-1536	164	14	)	)	PUNCT
ajpdis-1536	164	15	(	(	PUNCT
ajpdis-1536	164	16	0	0	NUM
ajpdis-1536	164	17	,	,	PUNCT
ajpdis-1536	164	18	)	)	PUNCT
ajpdis-1536	164	19	)	)	PUNCT
ajpdis-1536	165	1	td	td	PROPN
ajpdis-1536	165	2	w	w	NOUN
ajpdis-1536	165	3	x	x	SYM
ajpdis-1536	165	4	t	t	PROPN
ajpdis-1536	165	5	c	c	NOUN
ajpdis-1536	165	6	l	l	NOUN
ajpdis-1536	165	7	tr	tr	VERB
ajpdis-1536	165	8	î	î	PROPN
ajpdis-1536	165	9	´	´	NOUN
ajpdis-1536	165	10	2	2	NUM
ajpdis-1536	165	11	,	,	PUNCT
ajpdis-1536	165	12	1	1	NUM
ajpdis-1536	165	13	1	1	NUM
ajpdis-1536	165	14	(	(	PUNCT
ajpdis-1536	165	15	,	,	PUNCT
ajpdis-1536	165	16	)	)	PUNCT
ajpdis-1536	165	17	(	(	PUNCT
ajpdis-1536	165	18	,	,	PUNCT
ajpdis-1536	165	19	)	)	PUNCT
ajpdis-1536	165	20	(	(	PUNCT
ajpdis-1536	165	21	,	,	PUNCT
ajpdis-1536	165	22	)	)	PUNCT
ajpdis-1536	165	23	sinn	sinn	PROPN
ajpdis-1536	165	24	n	n	INTJ
ajpdis-1536	165	25	na	na	NOUN
ajpdis-1536	165	26	nxu	nxu	PROPN
ajpdis-1536	165	27	x	x	X
ajpdis-1536	166	1	t	t	PROPN
ajpdis-1536	166	2	v	v	NUM
ajpdis-1536	166	3	x	x	SYM
ajpdis-1536	166	4	t	t	PROPN
ajpdis-1536	166	5	w	w	PROPN
ajpdis-1536	166	6	x	x	SYM
ajpdis-1536	166	7	t	t	NOUN
ajpdis-1536	166	8	e	e	NOUN
ajpdis-1536	166	9	t	t	NOUN
ajpdis-1536	166	10	l	l	NOUN
ajpdis-1536	167	1	l	l	NOUN
ajpdis-1536	167	2	r	r	NOUN
ajpdis-1536	167	3	r	r	NOUN
ajpdis-1536	167	4	p	p	NOUN
ajpdis-1536	167	5	pj	pj	PROPN
ajpdis-1536	168	1	¥	¥	PROPN
ajpdis-1536	168	2	=	=	SYM
ajpdis-1536	168	3	æ	æ	PROPN
ajpdis-1536	168	4	öæ	öæ	ADP
ajpdis-1536	168	5	ö=	ö=	VERB
ajpdis-1536	168	6	+	+	CCONJ
ajpdis-1536	169	1	=	=	SYM
ajpdis-1536	169	2	+	+	NOUN
ajpdis-1536	169	3	ç	ç	X
ajpdis-1536	169	4	֍	֍	VERB
ajpdis-1536	169	5	֍	֍	NOUN
ajpdis-1536	169	6	֏	֏	ADV
ajpdis-1536	169	7	øè	øè	ADP
ajpdis-1536	169	8	ø	ø	PROPN
ajpdis-1536	169	9	å	å	PROPN
ajpdis-1536	169	10	2	2	NUM
ajpdis-1536	169	11	,	,	PUNCT
ajpdis-1536	169	12	1	1	NUM
ajpdis-1536	169	13	1	1	NUM
ajpdis-1536	169	14	sin	sin	NOUN
ajpdis-1536	169	15	.n	.n	NOUN
ajpdis-1536	169	16	n	n	CCONJ
ajpdis-1536	169	17	na	na	INTJ
ajpdis-1536	169	18	nxf	nxf	PROPN
ajpdis-1536	169	19	t	t	PROPN
ajpdis-1536	169	20	e	e	X
ajpdis-1536	169	21	t	t	NOUN
ajpdis-1536	169	22	l	l	NOUN
ajpdis-1536	169	23	l	l	NOUN
ajpdis-1536	169	24	r	r	NOUN
ajpdis-1536	169	25	r	r	NOUN
ajpdis-1536	169	26	r	r	NOUN
ajpdis-1536	169	27	r	r	NOUN
ajpdis-1536	169	28	p	p	NOUN
ajpdis-1536	169	29	p¥	p¥	PROPN
ajpdis-1536	169	30	+	+	PROPN
ajpdis-1536	169	31	=	=	SYM
ajpdis-1536	169	32	æ	æ	X
ajpdis-1536	169	33	öæ	öæ	ADP
ajpdis-1536	169	34	ö+	ö+	X
ajpdis-1536	169	35	×ç	×ç	X
ajpdis-1536	169	36	֍	֍	X
ajpdis-1536	169	37	֍	֍	X
ajpdis-1536	169	38	֏	֏	ADV
ajpdis-1536	169	39	øè	øè	PROPN
ajpdis-1536	169	40	ø	ø	X
ajpdis-1536	169	41	å	å	PROPN
ajpdis-1536	169	42	(	(	PUNCT
ajpdis-1536	169	43	,	,	PUNCT
ajpdis-1536	169	44	)	)	PUNCT
ajpdis-1536	169	45	u	u	NOUN
ajpdis-1536	169	46	x	x	PROPN
ajpdis-1536	169	47	t	t	PROPN
ajpdis-1536	169	48	310	310	NUM
ajpdis-1536	169	49	american	american	PROPN
ajpdis-1536	169	50	journal	journal	PROPN
ajpdis-1536	169	51	of	of	ADP
ajpdis-1536	169	52	public	public	ADJ
ajpdis-1536	169	53	diplomacy	diplomacy	NOUN
ajpdis-1536	169	54	and	and	CCONJ
ajpdis-1536	169	55	international	international	ADJ
ajpdis-1536	169	56	studies	study	NOUN
ajpdis-1536	169	57	www.grnjournal.us	www.grnjournal.us	PROPN
ajpdis-1536	169	58	10	10	NUM
ajpdis-1536	169	59	.	.	PUNCT
ajpdis-1536	170	1	sharipova	sharipova	PROPN
ajpdis-1536	170	2	,	,	PUNCT
ajpdis-1536	170	3	m.	m.	NOUN
ajpdis-1536	170	4	p.	p.	PROPN
ajpdis-1536	170	5	l.	l.	PROPN
ajpdis-1536	170	6	(	(	PUNCT
ajpdis-1536	170	7	2023	2023	NUM
ajpdis-1536	170	8	)	)	PUNCT
ajpdis-1536	170	9	.	.	PUNCT
ajpdis-1536	171	1	caputa	caputa	PROPN
ajpdis-1536	171	2	ma’nosida	ma’nosida	PROPN
ajpdis-1536	171	3	kasr	kasr	PROPN
ajpdis-1536	171	4	tartibli	tartibli	PROPN
ajpdis-1536	171	5	hosilalar	hosilalar	PROPN
ajpdis-1536	171	6	va	va	PROPN
ajpdis-1536	171	7	uni	uni	PROPN
ajpdis-1536	171	8	hisoblash	hisoblash	NOUN
ajpdis-1536	171	9	usullari	usullari	PROPN
ajpdis-1536	171	10	.	.	PUNCT
ajpdis-1536	172	1	educational	educational	ADJ
ajpdis-1536	172	2	research	research	NOUN
ajpdis-1536	172	3	in	in	ADP
ajpdis-1536	172	4	universal	universal	ADJ
ajpdis-1536	172	5	sciences	science	NOUN
ajpdis-1536	172	6	,	,	PUNCT
ajpdis-1536	172	7	2(9	2(9	NUM
ajpdis-1536	172	8	)	)	PUNCT
ajpdis-1536	172	9	,	,	PUNCT
ajpdis-1536	172	10	360	360	NUM
ajpdis-1536	172	11	-	-	SYM
ajpdis-1536	172	12	365	365	NUM
ajpdis-1536	172	13	.	.	PUNCT
ajpdis-1536	173	1	11	11	NUM
ajpdis-1536	173	2	.	.	PUNCT
ajpdis-1536	173	3	гостaxmedova	гостaxmedova	PROPN
ajpdis-1536	173	4	z.	z.	PROPN
ajpdis-1536	173	5	i.	i.	PROPN
ajpdis-1536	173	6	lms	lms	PROPN
ajpdis-1536	173	7	tizimida	tizimida	PROPN
ajpdis-1536	173	8	interaktiv	interaktiv	PROPN
ajpdis-1536	173	9	elementlarni	elementlarni	PROPN
ajpdis-1536	173	10	yaratish	yaratish	PROPN
ajpdis-1536	173	11	texnologiyasi	texnologiyasi	PROPN
ajpdis-1536	173	12	//educational	//educational	PROPN
ajpdis-1536	173	13	research	research	NOUN
ajpdis-1536	173	14	in	in	ADP
ajpdis-1536	173	15	universal	universal	ADJ
ajpdis-1536	173	16	sciences	science	NOUN
ajpdis-1536	173	17	.	.	PUNCT
ajpdis-1536	174	1	–	–	PUNCT
ajpdis-1536	174	2	2023	2023	NUM
ajpdis-1536	174	3	.	.	PUNCT
ajpdis-1536	175	1	–	–	PUNCT
ajpdis-1536	175	2	т	т	X
ajpdis-1536	175	3	.	.	NOUN
ajpdis-1536	175	4	2	2	NUM
ajpdis-1536	175	5	.	.	X
ajpdis-1536	175	6	–	–	PUNCT
ajpdis-1536	175	7	№	№	NOUN
ajpdis-1536	175	8	.	.	PUNCT
ajpdis-1536	176	1	10	10	NUM
ajpdis-1536	176	2	.	.	PUNCT
ajpdis-1536	176	3	–	–	PUNCT
ajpdis-1536	176	4	с	с	PROPN
ajpdis-1536	176	5	.	.	PUNCT
ajpdis-1536	176	6	368	368	NUM
ajpdis-1536	176	7	-	-	SYM
ajpdis-1536	176	8	372	372	NUM
ajpdis-1536	176	9	.	.	NOUN
ajpdis-1536	176	10	12	12	NUM
ajpdis-1536	176	11	.	.	PUNCT
ajpdis-1536	177	1	mla.axmedova	mla.axmedova	X
ajpdis-1536	177	2	,	,	PUNCT
ajpdis-1536	177	3	zulxumor	zulxumor	NOUN
ajpdis-1536	177	4	ikromovna	ikromovna	NOUN
ajpdis-1536	177	5	.	.	PUNCT
ajpdis-1536	178	1	"	"	PUNCT
ajpdis-1536	178	2	lms	lms	PROPN
ajpdis-1536	178	3	tizimida	tizimida	PROPN
ajpdis-1536	178	4	interaktiv	interaktiv	PROPN
ajpdis-1536	178	5	elementlarni	elementlarni	PROPN
ajpdis-1536	178	6	yaratish	yaratish	PROPN
ajpdis-1536	178	7	texnologiyasi	texnologiyasi	PROPN
ajpdis-1536	178	8	.	.	PUNCT
ajpdis-1536	178	9	"	"	PUNCT
ajpdis-1536	179	1	educational	educational	ADJ
ajpdis-1536	179	2	research	research	NOUN
ajpdis-1536	179	3	in	in	ADP
ajpdis-1536	179	4	universal	universal	ADJ
ajpdis-1536	179	5	sciences	science	NOUN
ajpdis-1536	179	6	2.10	2.10	NUM
ajpdis-1536	179	7	(	(	PUNCT
ajpdis-1536	179	8	2023	2023	NUM
ajpdis-1536	179	9	):	):	PUNCT
ajpdis-1536	179	10	368	368	NUM
ajpdis-1536	179	11	-	-	SYM
ajpdis-1536	179	12	372	372	NUM
ajpdis-1536	179	13	.	.	NOUN
ajpdis-1536	179	14	13	13	NUM
ajpdis-1536	179	15	.	.	X
ajpdis-1536	180	1	apaaxmedova	apaaxmedova	PROPN
ajpdis-1536	180	2	,	,	PUNCT
ajpdis-1536	180	3	z.	z.	PROPN
ajpdis-1536	180	4	i.	i.	PROPN
ajpdis-1536	180	5	(	(	PUNCT
ajpdis-1536	180	6	2023	2023	NUM
ajpdis-1536	180	7	)	)	PUNCT
ajpdis-1536	180	8	.	.	PUNCT
ajpdis-1536	181	1	lms	lms	PROPN
ajpdis-1536	181	2	tizimida	tizimida	PROPN
ajpdis-1536	181	3	interaktiv	interaktiv	PROPN
ajpdis-1536	181	4	elementlarni	elementlarni	PROPN
ajpdis-1536	181	5	yaratish	yaratish	PROPN
ajpdis-1536	181	6	texnologiyasi	texnologiyasi	PROPN
ajpdis-1536	181	7	.	.	PUNCT
ajpdis-1536	182	1	educational	educational	ADJ
ajpdis-1536	182	2	research	research	NOUN
ajpdis-1536	182	3	in	in	ADP
ajpdis-1536	182	4	universal	universal	ADJ
ajpdis-1536	182	5	sciences	science	NOUN
ajpdis-1536	182	6	,	,	PUNCT
ajpdis-1536	182	7	2(10	2(10	NUM
ajpdis-1536	182	8	)	)	PUNCT
ajpdis-1536	182	9	,	,	PUNCT
ajpdis-1536	182	10	368	368	NUM
ajpdis-1536	182	11	-	-	SYM
ajpdis-1536	182	12	372	372	NUM
ajpdis-1536	182	13	.	.	NOUN
ajpdis-1536	182	14	14	14	NUM
ajpdis-1536	182	15	.	.	PUNCT
ajpdis-1536	183	1	boboqulova	boboqulova	PROPN
ajpdis-1536	183	2	,	,	PUNCT
ajpdis-1536	183	3	m.	m.	NOUN
ajpdis-1536	183	4	x.	x.	NOUN
ajpdis-1536	183	5	(	(	PUNCT
ajpdis-1536	183	6	2023	2023	NUM
ajpdis-1536	183	7	)	)	PUNCT
ajpdis-1536	183	8	.	.	PUNCT
ajpdis-1536	184	1	stomatologik	stomatologik	NOUN
ajpdis-1536	184	2	materiallarning	materiallarne	VERB
ajpdis-1536	184	3	fizikmexanik	fizikmexanik	PROPN
ajpdis-1536	184	4	xossalari	xossalari	ADJ
ajpdis-1536	184	5	.	.	PUNCT
ajpdis-1536	185	1	educational	educational	ADJ
ajpdis-1536	185	2	research	research	NOUN
ajpdis-1536	185	3	in	in	ADP
ajpdis-1536	185	4	universal	universal	ADJ
ajpdis-1536	185	5	sciences	science	NOUN
ajpdis-1536	185	6	,	,	PUNCT
ajpdis-1536	185	7	2(9	2(9	NUM
ajpdis-1536	185	8	)	)	PUNCT
ajpdis-1536	185	9	,	,	PUNCT
ajpdis-1536	185	10	223228	223228	NUM
ajpdis-1536	185	11	.	.	PUNCT
ajpdis-1536	186	1	15	15	NUM
ajpdis-1536	186	2	.	.	PUNCT
ajpdis-1536	187	1	муродов	муродов	VERB
ajpdis-1536	187	2	,	,	PUNCT
ajpdis-1536	187	3	о	о	PROPN
ajpdis-1536	187	4	.	.	PUNCT
ajpdis-1536	188	1	т	т	X
ajpdis-1536	188	2	.	.	PUNCT
ajpdis-1536	188	3	(	(	PUNCT
ajpdis-1536	188	4	2023	2023	NUM
ajpdis-1536	188	5	)	)	PUNCT
ajpdis-1536	188	6	.	.	PUNCT
ajpdis-1536	189	1	разработка	разработка	PROPN
ajpdis-1536	189	2	автоматизированной	автоматизированной	PROPN
ajpdis-1536	189	3	системы	системы	PROPN
ajpdis-1536	189	4	управления	управления	NOUN
ajpdis-1536	189	5	температуры	температуры	PROPN
ajpdis-1536	189	6	и	и	PROPN
ajpdis-1536	189	7	влажности	влажности	PROPN
ajpdis-1536	189	8	в	в	PROPN
ajpdis-1536	189	9	производственных	производственных	PROPN
ajpdis-1536	189	10	комнат	комнат	PROPN
ajpdis-1536	189	11	.	.	PUNCT
ajpdis-1536	190	1	golden	golden	ADJ
ajpdis-1536	190	2	brain	brain	NOUN
ajpdis-1536	190	3	,	,	PUNCT
ajpdis-1536	190	4	1(26	1(26	NUM
ajpdis-1536	190	5	)	)	PUNCT
ajpdis-1536	190	6	,	,	PUNCT
ajpdis-1536	190	7	91	91	NUM
ajpdis-1536	190	8	-	-	SYM
ajpdis-1536	190	9	95	95	NUM
ajpdis-1536	190	10	.	.	PUNCT
ajpdis-1536	191	1	16	16	NUM
ajpdis-1536	191	2	.	.	PUNCT
ajpdis-1536	192	1	murodov	murodov	NOUN
ajpdis-1536	192	2	,	,	PUNCT
ajpdis-1536	192	3	o.	o.	PROPN
ajpdis-1536	192	4	t.	t.	PROPN
ajpdis-1536	192	5	r.	r.	PROPN
ajpdis-1536	192	6	(	(	PUNCT
ajpdis-1536	192	7	2023	2023	NUM
ajpdis-1536	192	8	)	)	PUNCT
ajpdis-1536	192	9	.	.	PUNCT
ajpdis-1536	193	1	zamonaviy	zamonaviy	PROPN
ajpdis-1536	193	2	ta’limda	ta’limda	PROPN
ajpdis-1536	193	3	axborot	axborot	PROPN
ajpdis-1536	193	4	texnologiyalari	texnologiyalari	PROPN
ajpdis-1536	193	5	va	va	PROPN
ajpdis-1536	193	6	ularni	ularni	PROPN
ajpdis-1536	193	7	qo	qo	PROPN
ajpdis-1536	193	8	‘	'	PUNCT
ajpdis-1536	193	9	llash	llash	VERB
ajpdis-1536	193	10	usul	usul	PROPN
ajpdis-1536	193	11	va	va	PROPN
ajpdis-1536	193	12	vositalari	vositalari	PROPN
ajpdis-1536	193	13	.	.	PUNCT
ajpdis-1536	194	1	educational	educational	ADJ
ajpdis-1536	194	2	research	research	NOUN
ajpdis-1536	194	3	in	in	ADP
ajpdis-1536	194	4	universal	universal	ADJ
ajpdis-1536	194	5	sciences	science	NOUN
ajpdis-1536	194	6	,	,	PUNCT
ajpdis-1536	194	7	2(10	2(10	NUM
ajpdis-1536	194	8	)	)	PUNCT
ajpdis-1536	194	9	,	,	PUNCT
ajpdis-1536	194	10	481	481	NUM
ajpdis-1536	194	11	-	-	SYM
ajpdis-1536	194	12	486	486	NUM
ajpdis-1536	194	13	.	.	PUNCT
ajpdis-1536	195	1	17	17	NUM
ajpdis-1536	195	2	.	.	PUNCT
ajpdis-1536	195	3	qizi	qizi	PROPN
ajpdis-1536	195	4	sharopova	sharopova	PROPN
ajpdis-1536	195	5	,	,	PUNCT
ajpdis-1536	195	6	m.	m.	NOUN
ajpdis-1536	195	7	m.	m.	NOUN
ajpdis-1536	195	8	(	(	PUNCT
ajpdis-1536	195	9	2023	2023	NUM
ajpdis-1536	195	10	)	)	PUNCT
ajpdis-1536	195	11	.	.	PUNCT
ajpdis-1536	196	1	rsa	rsa	PROPN
ajpdis-1536	196	2	va	va	PROPN
ajpdis-1536	196	3	el	el	PROPN
ajpdis-1536	196	4	-	-	PROPN
ajpdis-1536	196	5	gamal	gamal	PROPN
ajpdis-1536	196	6	ochiq	ochiq	PROPN
ajpdis-1536	196	7	kalitli	kalitli	PROPN
ajpdis-1536	196	8	shifrlash	shifrlash	PROPN
ajpdis-1536	196	9	algoritmi	algoritmi	PROPN
ajpdis-1536	196	10	asosida	asosida	PROPN
ajpdis-1536	196	11	elektron	elektron	PROPN
ajpdis-1536	196	12	raqmli	raqmli	PROPN
ajpdis-1536	196	13	imzolari	imzolari	PROPN
ajpdis-1536	196	14	.	.	PUNCT
ajpdis-1536	197	1	rsa	rsa	PROPN
ajpdis-1536	197	2	ochiq	ochiq	PROPN
ajpdis-1536	197	3	kalitli	kalitli	PROPN
ajpdis-1536	197	4	shifrlash	shifrlash	PROPN
ajpdis-1536	197	5	algoritmi	algoritmi	PROPN
ajpdis-1536	197	6	asosidagi	asosidagi	PROPN
ajpdis-1536	197	7	elektron	elektron	PROPN
ajpdis-1536	197	8	raqamli	raqamli	PROPN
ajpdis-1536	197	9	imzo	imzo	NOUN
ajpdis-1536	197	10	.	.	PUNCT
ajpdis-1536	198	1	educational	educational	ADJ
ajpdis-1536	198	2	research	research	NOUN
ajpdis-1536	198	3	in	in	ADP
ajpdis-1536	198	4	universal	universal	ADJ
ajpdis-1536	198	5	sciences	science	NOUN
ajpdis-1536	198	6	,	,	PUNCT
ajpdis-1536	198	7	2(10	2(10	NUM
ajpdis-1536	198	8	)	)	PUNCT
ajpdis-1536	198	9	,	,	PUNCT
ajpdis-1536	198	10	316	316	NUM
ajpdis-1536	198	11	-	-	SYM
ajpdis-1536	198	12	319	319	NUM
ajpdis-1536	198	13	.	.	PUNCT
ajpdis-1536	198	14	18	18	NUM
ajpdis-1536	198	15	.	.	X
ajpdis-1536	198	16	sharipova	sharipova	PROPN
ajpdis-1536	198	17	,	,	PUNCT
ajpdis-1536	198	18	m.	m.	NOUN
ajpdis-1536	198	19	p.	p.	PROPN
ajpdis-1536	198	20	l.	l.	PROPN
ajpdis-1536	198	21	(	(	PUNCT
ajpdis-1536	198	22	2023	2023	NUM
ajpdis-1536	198	23	)	)	PUNCT
ajpdis-1536	198	24	.	.	PUNCT
ajpdis-1536	199	1	caputa	caputa	PROPN
ajpdis-1536	199	2	ma’nosida	ma’nosida	PROPN
ajpdis-1536	199	3	kasr	kasr	PROPN
ajpdis-1536	199	4	tartibli	tartibli	PROPN
ajpdis-1536	199	5	hosilalar	hosilalar	PROPN
ajpdis-1536	199	6	va	va	PROPN
ajpdis-1536	199	7	uni	uni	PROPN
ajpdis-1536	199	8	hisoblash	hisoblash	NOUN
ajpdis-1536	199	9	usullari	usullari	PROPN
ajpdis-1536	199	10	.	.	PUNCT
ajpdis-1536	200	1	educational	educational	ADJ
ajpdis-1536	200	2	research	research	NOUN
ajpdis-1536	200	3	in	in	ADP
ajpdis-1536	200	4	universal	universal	ADJ
ajpdis-1536	200	5	sciences	science	NOUN
ajpdis-1536	200	6	,	,	PUNCT
ajpdis-1536	200	7	2(9	2(9	NUM
ajpdis-1536	200	8	)	)	PUNCT
ajpdis-1536	200	9	,	,	PUNCT
ajpdis-1536	200	10	360	360	NUM
ajpdis-1536	200	11	-	-	SYM
ajpdis-1536	200	12	365	365	NUM
ajpdis-1536	200	13	.	.	PUNCT
ajpdis-1536	201	1	19	19	NUM
ajpdis-1536	201	2	.	.	NUM
ajpdis-1536	201	3	sharipova	sharipova	PROPN
ajpdis-1536	201	4	,	,	PUNCT
ajpdis-1536	201	5	m.	m.	NOUN
ajpdis-1536	201	6	p.	p.	PROPN
ajpdis-1536	201	7	(	(	PUNCT
ajpdis-1536	201	8	2023	2023	NUM
ajpdis-1536	201	9	)	)	PUNCT
ajpdis-1536	201	10	.	.	PUNCT
ajpdis-1536	202	1	maxsus	maxsus	PROPN
ajpdis-1536	202	2	sohalarda	sohalarda	PROPN
ajpdis-1536	202	3	karleman	karleman	PROPN
ajpdis-1536	202	4	matritsasi	matritsasi	PROPN
ajpdis-1536	202	5	.	.	PUNCT
ajpdis-1536	203	1	educational	educational	ADJ
ajpdis-1536	203	2	research	research	NOUN
ajpdis-1536	203	3	in	in	ADP
ajpdis-1536	203	4	universal	universal	ADJ
ajpdis-1536	203	5	sciences	science	NOUN
ajpdis-1536	203	6	,	,	PUNCT
ajpdis-1536	203	7	2(10	2(10	NUM
ajpdis-1536	203	8	)	)	PUNCT
ajpdis-1536	203	9	,	,	PUNCT
ajpdis-1536	203	10	137	137	NUM
ajpdis-1536	203	11	-	-	SYM
ajpdis-1536	203	12	141	141	NUM
ajpdis-1536	203	13	.	.	PUNCT
ajpdis-1536	204	1	20	20	NUM
ajpdis-1536	204	2	.	.	PUNCT
ajpdis-1536	205	1	madina	madina	PROPN
ajpdis-1536	205	2	polatovna	polatovna	PROPN
ajpdis-1536	205	3	sharipova	sharipova	VERB
ajpdis-1536	205	4	.	.	PUNCT
ajpdis-1536	206	1	(	(	PUNCT
ajpdis-1536	206	2	2023	2023	NUM
ajpdis-1536	206	3	)	)	PUNCT
ajpdis-1536	206	4	.	.	PUNCT
ajpdis-1536	207	1	approximation	approximation	NOUN
ajpdis-1536	207	2	of	of	ADP
ajpdis-1536	207	3	functions	function	NOUN
ajpdis-1536	207	4	with	with	ADP
ajpdis-1536	207	5	coefficients	coefficient	NOUN
ajpdis-1536	207	6	.	.	PUNCT
ajpdis-1536	208	1	american	american	ADJ
ajpdis-1536	208	2	journal	journal	PROPN
ajpdis-1536	208	3	of	of	ADP
ajpdis-1536	208	4	public	public	ADJ
ajpdis-1536	208	5	diplomacy	diplomacy	NOUN
ajpdis-1536	208	6	and	and	CCONJ
ajpdis-1536	208	7	international	international	ADJ
ajpdis-1536	208	8	studies	study	NOUN
ajpdis-1536	208	9	(	(	PUNCT
ajpdis-1536	208	10	2993	2993	NUM
ajpdis-1536	208	11	-	-	SYM
ajpdis-1536	208	12	2157	2157	NUM
ajpdis-1536	208	13	)	)	PUNCT
ajpdis-1536	208	14	,	,	PUNCT
ajpdis-1536	208	15	1(9	1(9	NUM
ajpdis-1536	208	16	)	)	PUNCT
ajpdis-1536	208	17	,	,	PUNCT
ajpdis-1536	208	18	135–138	135–138	NUM
ajpdis-1536	208	19	.	.	PUNCT
ajpdis-1536	209	1	21	21	NUM
ajpdis-1536	209	2	.	.	PUNCT
ajpdis-1536	210	1	madina	madina	PROPN
ajpdis-1536	210	2	polatovna	polatovna	PROPN
ajpdis-1536	210	3	sharipova	sharipova	VERB
ajpdis-1536	210	4	.	.	PUNCT
ajpdis-1536	211	1	(	(	PUNCT
ajpdis-1536	211	2	2023	2023	NUM
ajpdis-1536	211	3	)	)	PUNCT
ajpdis-1536	211	4	.	.	PUNCT
ajpdis-1536	212	1	applications	application	NOUN
ajpdis-1536	212	2	of	of	ADP
ajpdis-1536	212	3	the	the	DET
ajpdis-1536	212	4	double	double	ADJ
ajpdis-1536	212	5	integral	integral	ADJ
ajpdis-1536	212	6	to	to	ADP
ajpdis-1536	212	7	mechanical	mechanical	ADJ
ajpdis-1536	212	8	problems	problem	NOUN
ajpdis-1536	212	9	.	.	PUNCT
ajpdis-1536	213	1	international	international	ADJ
ajpdis-1536	213	2	journal	journal	NOUN
ajpdis-1536	213	3	of	of	ADP
ajpdis-1536	213	4	sciearchers,2(2	sciearchers,2(2	PROPN
ajpdis-1536	213	5	)	)	PUNCT
ajpdis-1536	213	6	,	,	PUNCT
ajpdis-1536	213	7	101	101	NUM
ajpdis-1536	213	8	-	-	SYM
ajpdis-1536	213	9	103	103	NUM
ajpdis-1536	213	10	.	.	PUNCT
ajpdis-1536	214	1	22	22	NUM
ajpdis-1536	214	2	.	.	PUNCT
ajpdis-1536	215	1	oghly	oghly	ADV
ajpdis-1536	215	2	,	,	PUNCT
ajpdis-1536	215	3	j.	j.	PROPN
ajpdis-1536	215	4	s.	s.	PROPN
ajpdis-1536	215	5	z.	z.	PROPN
ajpdis-1536	215	6	(	(	PUNCT
ajpdis-1536	215	7	2023	2023	NUM
ajpdis-1536	215	8	)	)	PUNCT
ajpdis-1536	215	9	.	.	PUNCT
ajpdis-1536	216	1	basic	basic	ADJ
ajpdis-1536	216	2	philosophical	philosophical	ADJ
ajpdis-1536	216	3	and	and	CCONJ
ajpdis-1536	216	4	methodological	methodological	ADJ
ajpdis-1536	216	5	ideas	idea	NOUN
ajpdis-1536	216	6	in	in	ADP
ajpdis-1536	216	7	the	the	DET
ajpdis-1536	216	8	evolution	evolution	NOUN
ajpdis-1536	216	9	of	of	ADP
ajpdis-1536	216	10	physical	physical	ADJ
ajpdis-1536	216	11	sciences	science	NOUN
ajpdis-1536	216	12	.	.	PUNCT
ajpdis-1536	217	1	gospodarka	gospodarka	PROPN
ajpdis-1536	218	1	i	i	PRON
ajpdis-1536	218	2	innowacje	innowacje	VERB
ajpdis-1536	218	3	.	.	PUNCT
ajpdis-1536	219	1	,	,	PUNCT
ajpdis-1536	219	2	41	41	NUM
ajpdis-1536	219	3	,	,	PUNCT
ajpdis-1536	219	4	233	233	NUM
ajpdis-1536	219	5	-	-	SYM
ajpdis-1536	219	6	241	241	NUM
ajpdis-1536	219	7	.	.	PUNCT
ajpdis-1536	220	1	23	23	NUM
ajpdis-1536	220	2	.	.	PUNCT
ajpdis-1536	221	1	jurakulov	jurakulov	PROPN
ajpdis-1536	221	2	sanjar	sanjar	PROPN
ajpdis-1536	221	3	zafarjon	zafarjon	NOUN
ajpdis-1536	221	4	oghly	oghly	ADV
ajpdis-1536	221	5	.	.	PUNCT
ajpdis-1536	222	1	(	(	PUNCT
ajpdis-1536	222	2	2023	2023	NUM
ajpdis-1536	222	3	)	)	PUNCT
ajpdis-1536	222	4	.	.	PUNCT
ajpdis-1536	223	1	a	a	DET
ajpdis-1536	223	2	japanese	japanese	ADJ
ajpdis-1536	223	3	approach	approach	NOUN
ajpdis-1536	223	4	to	to	ADP
ajpdis-1536	223	5	in	in	ADP
ajpdis-1536	223	6	-	-	PUNCT
ajpdis-1536	223	7	service	service	NOUN
ajpdis-1536	223	8	training	training	NOUN
ajpdis-1536	223	9	and	and	CCONJ
ajpdis-1536	223	10	professional	professional	ADJ
ajpdis-1536	223	11	development	development	NOUN
ajpdis-1536	223	12	of	of	ADP
ajpdis-1536	223	13	science	science	NOUN
ajpdis-1536	223	14	and	and	CCONJ
ajpdis-1536	223	15	physics	physics	NOUN
ajpdis-1536	223	16	teachers	teacher	NOUN
ajpdis-1536	223	17	in	in	ADP
ajpdis-1536	223	18	japan	japan	PROPN
ajpdis-1536	223	19	.	.	PUNCT
ajpdis-1536	224	1	american	american	PROPN
ajpdis-1536	224	2	journal	journal	PROPN
ajpdis-1536	224	3	of	of	ADP
ajpdis-1536	224	4	public	public	ADJ
ajpdis-1536	224	5	diplomacy	diplomacy	NOUN
ajpdis-1536	224	6	and	and	CCONJ
ajpdis-1536	224	7	international	international	ADJ
ajpdis-1536	224	8	studies	study	NOUN
ajpdis-1536	224	9	(	(	PUNCT
ajpdis-1536	224	10	2993	2993	NUM
ajpdis-1536	224	11	-	-	SYM
ajpdis-1536	224	12	2157	2157	NUM
ajpdis-1536	224	13	)	)	PUNCT
ajpdis-1536	224	14	,	,	PUNCT
ajpdis-1536	224	15	1(9	1(9	NUM
ajpdis-1536	224	16	)	)	PUNCT
ajpdis-1536	224	17	,	,	PUNCT
ajpdis-1536	224	18	167–173	167–173	NUM
ajpdis-1536	224	19	.	.	PUNCT
ajpdis-1536	225	1	311	311	NUM
ajpdis-1536	225	2	american	american	ADJ
ajpdis-1536	225	3	journal	journal	PROPN
ajpdis-1536	225	4	of	of	ADP
ajpdis-1536	225	5	public	public	ADJ
ajpdis-1536	225	6	diplomacy	diplomacy	NOUN
ajpdis-1536	225	7	and	and	CCONJ
ajpdis-1536	225	8	international	international	ADJ
ajpdis-1536	225	9	studies	study	NOUN
ajpdis-1536	225	10	www.grnjournal.us	www.grnjournal.us	PROPN
ajpdis-1536	225	11	24	24	NUM
ajpdis-1536	225	12	.	.	PUNCT
ajpdis-1536	225	13	jurakulov	jurakulov	PROPN
ajpdis-1536	225	14	,	,	PUNCT
ajpdis-1536	225	15	s.	s.	PROPN
ajpdis-1536	225	16	z.	z.	PROPN
ajpdis-1536	225	17	ugli	ugli	PROPN
ajpdis-1536	225	18	.	.	PUNCT
ajpdis-1536	225	19	(	(	PUNCT
ajpdis-1536	225	20	2023	2023	NUM
ajpdis-1536	225	21	)	)	PUNCT
ajpdis-1536	225	22	.	.	PUNCT
ajpdis-1536	226	1	fizika	fizika	PROPN
ajpdis-1536	227	1	ta’limi	ta’limi	PROPN
ajpdis-1536	227	2	muvaffaqiyatli	muvaffaqiyatli	PROPN
ajpdis-1536	227	3	olish	olish	PROPN
ajpdis-1536	227	4	uchun	uchun	PROPN
ajpdis-1536	227	5	strategiyalar	strategiyalar	PROPN
ajpdis-1536	227	6	.	.	PUNCT
ajpdis-1536	228	1	educational	educational	ADJ
ajpdis-1536	228	2	research	research	NOUN
ajpdis-1536	228	3	in	in	ADP
ajpdis-1536	228	4	universal	universal	ADJ
ajpdis-1536	228	5	sciences	science	NOUN
ajpdis-1536	228	6	,	,	PUNCT
ajpdis-1536	228	7	2(14	2(14	NUM
ajpdis-1536	228	8	)	)	PUNCT
ajpdis-1536	228	9	,	,	PUNCT
ajpdis-1536	228	10	46–48	46–48	NUM
ajpdis-1536	228	11	.	.	PUNCT
ajpdis-1536	229	1	25	25	NUM
ajpdis-1536	229	2	.	.	PUNCT
ajpdis-1536	229	3	турсунов	турсунов	NOUN
ajpdis-1536	229	4	,	,	PUNCT
ajpdis-1536	229	5	б	б	NOUN
ajpdis-1536	229	6	.	.	PUNCT
ajpdis-1536	230	1	ж	ж	X
ajpdis-1536	230	2	.	.	PROPN
ajpdis-1536	230	3	,	,	PUNCT
ajpdis-1536	230	4	&	&	CCONJ
ajpdis-1536	230	5	шомуродов	шомуродов	PROPN
ajpdis-1536	230	6	,	,	PUNCT
ajpdis-1536	230	7	а	а	PROPN
ajpdis-1536	230	8	.	.	PUNCT
ajpdis-1536	231	1	ю	ю	VERB
ajpdis-1536	231	2	.	.	PUNCT
ajpdis-1536	232	1	(	(	PUNCT
ajpdis-1536	232	2	2021	2021	NUM
ajpdis-1536	232	3	)	)	PUNCT
ajpdis-1536	232	4	.	.	PUNCT
ajpdis-1536	233	1	перспективный	перспективный	ADJ
ajpdis-1536	233	2	метод	метод	NOUN
ajpdis-1536	233	3	утилизации	утилизации	PROPN
ajpdis-1536	233	4	отходов	отходов	VERB
ajpdis-1536	233	5	нефтеперерабатывающей	нефтеперерабатывающей	NOUN
ajpdis-1536	233	6	промышленности	промышленности	X
ajpdis-1536	233	7	.	.	PUNCT
ajpdis-1536	234	1	ta'lim	ta'lim	NUM
ajpdis-1536	234	2	va	va	PROPN
ajpdis-1536	234	3	rivojlanish	rivojlanish	ADJ
ajpdis-1536	234	4	tahlili	tahlili	NOUN
ajpdis-1536	234	5	onlayn	onlayn	PROPN
ajpdis-1536	234	6	ilmiy	ilmiy	PROPN
ajpdis-1536	234	7	jurnali	jurnali	PROPN
ajpdis-1536	234	8	,	,	PUNCT
ajpdis-1536	234	9	1(6	1(6	NUM
ajpdis-1536	234	10	)	)	PUNCT
ajpdis-1536	234	11	,	,	PUNCT
ajpdis-1536	234	12	239	239	NUM
ajpdis-1536	234	13	-	-	SYM
ajpdis-1536	234	14	243	243	NUM
ajpdis-1536	234	15	.	.	NOUN
ajpdis-1536	234	16	26	26	NUM
ajpdis-1536	234	17	.	.	PUNCT
ajpdis-1536	235	1	bakhodir	bakhodir	PROPN
ajpdis-1536	235	2	,	,	PUNCT
ajpdis-1536	235	3	t.	t.	PROPN
ajpdis-1536	235	4	,	,	PUNCT
ajpdis-1536	235	5	bakhtiyor	bakhtiyor	NOUN
ajpdis-1536	235	6	,	,	PUNCT
ajpdis-1536	235	7	g.	g.	PROPN
ajpdis-1536	235	8	,	,	PUNCT
ajpdis-1536	235	9	&	&	CCONJ
ajpdis-1536	235	10	makhfuza	makhfuza	NOUN
ajpdis-1536	235	11	,	,	PUNCT
ajpdis-1536	235	12	o.	o.	NOUN
ajpdis-1536	235	13	(	(	PUNCT
ajpdis-1536	235	14	2021	2021	NUM
ajpdis-1536	235	15	)	)	PUNCT
ajpdis-1536	235	16	.	.	PUNCT
ajpdis-1536	236	1	oil	oil	NOUN
ajpdis-1536	236	2	sludge	sludge	NOUN
ajpdis-1536	236	3	and	and	CCONJ
ajpdis-1536	236	4	their	their	PRON
ajpdis-1536	236	5	impact	impact	NOUN
ajpdis-1536	236	6	on	on	ADP
ajpdis-1536	236	7	the	the	DET
ajpdis-1536	236	8	environment	environment	NOUN
ajpdis-1536	236	9	.	.	PUNCT
ajpdis-1536	237	1	universum	universum	PROPN
ajpdis-1536	237	2	:	:	PUNCT
ajpdis-1536	237	3	технические	технические	PROPN
ajpdis-1536	237	4	науки	науки	PROPN
ajpdis-1536	237	5	,	,	PUNCT
ajpdis-1536	237	6	(	(	PUNCT
ajpdis-1536	237	7	6	6	NUM
ajpdis-1536	237	8	-	-	SYM
ajpdis-1536	237	9	5	5	NUM
ajpdis-1536	237	10	(	(	PUNCT
ajpdis-1536	237	11	87	87	NUM
ajpdis-1536	237	12	)	)	PUNCT
ajpdis-1536	237	13	)	)	PUNCT
ajpdis-1536	237	14	,	,	PUNCT
ajpdis-1536	237	15	69	69	NUM
ajpdis-1536	237	16	-	-	SYM
ajpdis-1536	237	17	71	71	NUM
ajpdis-1536	237	18	.	.	PUNCT
ajpdis-1536	237	19	27	27	NUM
ajpdis-1536	237	20	.	.	PUNCT
ajpdis-1536	238	1	турсунов	турсунов	NOUN
ajpdis-1536	238	2	,	,	PUNCT
ajpdis-1536	238	3	б	б	NOUN
ajpdis-1536	238	4	.	.	PUNCT
ajpdis-1536	239	1	ж	ж	X
ajpdis-1536	239	2	.	.	PUNCT
ajpdis-1536	240	1	(	(	PUNCT
ajpdis-1536	240	2	2021	2021	NUM
ajpdis-1536	240	3	)	)	PUNCT
ajpdis-1536	240	4	.	.	PUNCT
ajpdis-1536	241	1	анализ	анализ	PROPN
ajpdis-1536	241	2	методов	методов	PROPN
ajpdis-1536	241	3	утилизации	утилизации	PROPN
ajpdis-1536	241	4	отходов	отходов	VERB
ajpdis-1536	241	5	нефтеперерабатывающей	нефтеперерабатывающей	NOUN
ajpdis-1536	241	6	промышленности	промышленности	X
ajpdis-1536	241	7	.	.	PUNCT
ajpdis-1536	242	1	scientific	scientific	ADJ
ajpdis-1536	242	2	progress	progress	NOUN
ajpdis-1536	242	3	,	,	PUNCT
ajpdis-1536	242	4	2(4	2(4	NUM
ajpdis-1536	242	5	)	)	PUNCT
ajpdis-1536	242	6	,	,	PUNCT
ajpdis-1536	242	7	669	669	NUM
ajpdis-1536	242	8	-	-	SYM
ajpdis-1536	242	9	674	674	NUM
ajpdis-1536	242	10	.	.	PUNCT
ajpdis-1536	243	1	28	28	NUM
ajpdis-1536	243	2	.	.	PUNCT
ajpdis-1536	244	1	турсунов	турсунов	NOUN
ajpdis-1536	244	2	,	,	PUNCT
ajpdis-1536	244	3	б	б	NOUN
ajpdis-1536	244	4	.	.	PROPN
ajpdis-1536	244	5	,	,	PUNCT
ajpdis-1536	244	6	&	&	CCONJ
ajpdis-1536	244	7	ташпулатов	ташпулатов	PROPN
ajpdis-1536	244	8	,	,	PUNCT
ajpdis-1536	244	9	д	д	NOUN
ajpdis-1536	244	10	.	.	PUNCT
ajpdis-1536	244	11	(	(	PUNCT
ajpdis-1536	244	12	2018	2018	NUM
ajpdis-1536	244	13	)	)	PUNCT
ajpdis-1536	244	14	.	.	PUNCT
ajpdis-1536	245	1	эффективность	эффективность	ADJ
ajpdis-1536	245	2	применения	применения	NOUN
ajpdis-1536	245	3	предварительного	предварительного	ADJ
ajpdis-1536	245	4	обогащения	обогащения	NOUN
ajpdis-1536	245	5	руд	руд	NOUN
ajpdis-1536	245	6	в	в	PROPN
ajpdis-1536	245	7	карьере	карьере	X
ajpdis-1536	245	8	кальмакир	кальмакир	PROPN
ajpdis-1536	245	9	.	.	PUNCT
ajpdis-1536	246	1	in	in	ADP
ajpdis-1536	246	2	инновационные	инновационные	NOUN
ajpdis-1536	246	3	геотехнологии	геотехнологии	PROPN
ajpdis-1536	246	4	при	при	PROPN
ajpdis-1536	246	5	разработке	разработке	PROPN
ajpdis-1536	246	6	рудных	рудных	PROPN
ajpdis-1536	246	7	и	и	PROPN
ajpdis-1536	246	8	нерудных	нерудных	PROPN
ajpdis-1536	246	9	месторождений	месторождений	NOUN
ajpdis-1536	246	10	(	(	PUNCT
ajpdis-1536	246	11	pp	pp	ADJ
ajpdis-1536	246	12	.	.	PUNCT
ajpdis-1536	246	13	165	165	NUM
ajpdis-1536	246	14	-	-	SYM
ajpdis-1536	246	15	168	168	NUM
ajpdis-1536	246	16	)	)	PUNCT
ajpdis-1536	246	17	.	.	PUNCT
ajpdis-1536	247	1	29	29	NUM
ajpdis-1536	247	2	.	.	PUNCT
ajpdis-1536	247	3	турсунов	турсунов	NOUN
ajpdis-1536	247	4	,	,	PUNCT
ajpdis-1536	247	5	б	б	NOUN
ajpdis-1536	247	6	.	.	PUNCT
ajpdis-1536	248	1	д	д	NOUN
ajpdis-1536	248	2	.	.	PROPN
ajpdis-1536	248	3	,	,	PUNCT
ajpdis-1536	248	4	&	&	CCONJ
ajpdis-1536	248	5	суннатов	суннатов	PROPN
ajpdis-1536	248	6	,	,	PUNCT
ajpdis-1536	248	7	ж	ж	X
ajpdis-1536	248	8	.	.	PUNCT
ajpdis-1536	249	1	б	б	X
ajpdis-1536	249	2	.	.	PUNCT
ajpdis-1536	250	1	(	(	PUNCT
ajpdis-1536	250	2	2017	2017	NUM
ajpdis-1536	250	3	)	)	PUNCT
ajpdis-1536	250	4	.	.	PUNCT
ajpdis-1536	251	1	совершенствование	совершенствование	PROPN
ajpdis-1536	251	2	технологии	технологии	PROPN
ajpdis-1536	251	3	вторичного	вторичного	PROPN
ajpdis-1536	251	4	дробления	дробления	PROPN
ajpdis-1536	251	5	безвзрывным	безвзрывным	NOUN
ajpdis-1536	251	6	методом	методом	VERB
ajpdis-1536	251	7	.	.	PUNCT
ajpdis-1536	252	1	молодой	молодой	NOUN
ajpdis-1536	252	2	ученый	ученый	NOUN
ajpdis-1536	252	3	,	,	PUNCT
ajpdis-1536	252	4	(	(	PUNCT
ajpdis-1536	252	5	13	13	NUM
ajpdis-1536	252	6	)	)	PUNCT
ajpdis-1536	252	7	,	,	PUNCT
ajpdis-1536	252	8	97	97	NUM
ajpdis-1536	252	9	-	-	SYM
ajpdis-1536	252	10	100	100	NUM
ajpdis-1536	252	11	.	.	PUNCT
ajpdis-1536	253	1	турсунов	турсунов	NOUN
ajpdis-1536	253	2	,	,	PUNCT
ajpdis-1536	253	3	б	б	NOUN
ajpdis-1536	253	4	.	.	PUNCT
ajpdis-1536	254	1	ж	ж	X
ajpdis-1536	254	2	.	.	PROPN
ajpdis-1536	254	3	,	,	PUNCT
ajpdis-1536	254	4	ботиров	ботиров	PROPN
ajpdis-1536	254	5	,	,	PUNCT
ajpdis-1536	254	6	т	т	PROPN
ajpdis-1536	254	7	.	.	PUNCT
ajpdis-1536	254	8	в	в	PROPN
ajpdis-1536	254	9	.	.	PROPN
ajpdis-1536	254	10	,	,	PUNCT
ajpdis-1536	254	11	ташпулатов	ташпулатов	PROPN
ajpdis-1536	254	12	,	,	PUNCT
ajpdis-1536	254	13	д	д	NOUN
ajpdis-1536	254	14	.	.	PUNCT
ajpdis-1536	254	15	к	к	PROPN
ajpdis-1536	254	16	.	.	PROPN
ajpdis-1536	254	17	,	,	PUNCT
ajpdis-1536	254	18	&	&	CCONJ
ajpdis-1536	254	19	хайруллаев	хайруллаев	NOUN
ajpdis-1536	254	20	,	,	PUNCT
ajpdis-1536	254	21	б	б	NOUN
ajpdis-1536	254	22	.	.	PUNCT
ajpdis-1536	254	23	и	и	PROPN
ajpdis-1536	254	24	.	.	PUNCT
ajpdis-1536	255	1	(	(	PUNCT
ajpdis-1536	255	2	2018	2018	NUM
ajpdis-1536	255	3	)	)	PUNCT
ajpdis-1536	255	4	.	.	PUNCT
ajpdis-1536	256	1	перспектива	перспектива	VERB
ajpdis-1536	256	2	применения	применения	ADJ
ajpdis-1536	256	3	оптимального	оптимального	PROPN
ajpdis-1536	256	4	процесса	процесса	PROPN
ajpdis-1536	256	5	рудоотделения	рудоотделения	NOUN
ajpdis-1536	256	6	в	в	PROPN
ajpdis-1536	256	7	карьере	карьере	X
ajpdis-1536	256	8	мурунтау	мурунтау	NOUN
ajpdis-1536	256	9	.	.	PUNCT
ajpdis-1536	257	1	in	in	ADP
ajpdis-1536	257	2	инновационные	инновационные	NOUN
ajpdis-1536	257	3	геотехнологии	геотехнологии	PROPN
ajpdis-1536	257	4	при	при	PROPN
ajpdis-1536	257	5	разработке	разработке	PROPN
ajpdis-1536	257	6	рудных	рудных	PROPN
ajpdis-1536	257	7	и	и	PROPN
ajpdis-1536	257	8	нерудных	нерудных	PROPN
ajpdis-1536	257	9	месторождений	месторождений	NOUN
ajpdis-1536	257	10	(	(	PUNCT
ajpdis-1536	257	11	pp	pp	ADJ
ajpdis-1536	257	12	.	.	PUNCT
ajpdis-1536	257	13	160	160	NUM
ajpdis-1536	257	14	-	-	SYM
ajpdis-1536	257	15	164	164	NUM
ajpdis-1536	257	16	)	)	PUNCT
ajpdis-1536	257	17	.	.	PUNCT