id	sid	tid	token	lemma	pos
ijassa-1055	1	1	adv	adv	PROPN
ijassa-1055	1	2	syst	syst	PROPN
ijassa-1055	1	3	sci	sci	PROPN
ijassa-1055	1	4	appl	appl	PROPN
ijassa-1055	1	5	2021	2021	NUM
ijassa-1055	1	6	;	;	PUNCT
ijassa-1055	1	7	01:139–149	01:139–149	NOUN
ijassa-1055	1	8	published	publish	VERB
ijassa-1055	1	9	online	online	ADV
ijassa-1055	1	10	at	at	ADP
ijassa-1055	1	11	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADJ
ijassa-1055	1	12	.	.	PUNCT
ijassa-1055	2	1	application	application	NOUN
ijassa-1055	2	2	of	of	ADP
ijassa-1055	2	3	the	the	DET
ijassa-1055	2	4	minimum	minimum	ADJ
ijassa-1055	2	5	principle	principle	NOUN
ijassa-1055	2	6	of	of	ADP
ijassa-1055	2	7	a	a	DET
ijassa-1055	2	8	tikhonov	tikhonov	NOUN
ijassa-1055	2	9	smoothing	smooth	VERB
ijassa-1055	2	10	functional	functional	ADJ
ijassa-1055	2	11	in	in	ADP
ijassa-1055	2	12	the	the	DET
ijassa-1055	2	13	problem	problem	NOUN
ijassa-1055	2	14	of	of	ADP
ijassa-1055	2	15	processing	process	VERB
ijassa-1055	2	16	thermographic	thermographic	ADJ
ijassa-1055	2	17	data	datum	NOUN
ijassa-1055	2	18	eugeniy	eugeniy	ADJ
ijassa-1055	2	19	laneev1∗	laneev1∗	PROPN
ijassa-1055	2	20	,	,	PUNCT
ijassa-1055	2	21	natalia	natalia	PROPN
ijassa-1055	2	22	chernikova1	chernikova1	PROPN
ijassa-1055	2	23	,	,	PUNCT
ijassa-1055	2	24	obaida	obaida	PROPN
ijassa-1055	2	25	baaj1	baaj1	PROPN
ijassa-1055	2	26	1peoples	1peoples	NUM
ijassa-1055	2	27	’	'	PUNCT
ijassa-1055	2	28	friendship	friendship	NOUN
ijassa-1055	2	29	university	university	NOUN
ijassa-1055	2	30	of	of	ADP
ijassa-1055	2	31	russia	russia	PROPN
ijassa-1055	2	32	,	,	PUNCT
ijassa-1055	2	33	moscow	moscow	PROPN
ijassa-1055	2	34	,	,	PUNCT
ijassa-1055	2	35	russia	russia	PROPN
ijassa-1055	2	36	abstract	abstract	NOUN
ijassa-1055	2	37	:	:	PUNCT
ijassa-1055	2	38	the	the	DET
ijassa-1055	2	39	paper	paper	NOUN
ijassa-1055	2	40	considers	consider	VERB
ijassa-1055	2	41	a	a	DET
ijassa-1055	2	42	method	method	NOUN
ijassa-1055	2	43	for	for	ADP
ijassa-1055	2	44	correcting	correct	VERB
ijassa-1055	2	45	thermographic	thermographic	ADJ
ijassa-1055	2	46	images	image	NOUN
ijassa-1055	2	47	.	.	PUNCT
ijassa-1055	3	1	mathematical	mathematical	ADJ
ijassa-1055	3	2	processing	processing	NOUN
ijassa-1055	3	3	of	of	ADP
ijassa-1055	3	4	thermograms	thermogram	NOUN
ijassa-1055	3	5	is	be	AUX
ijassa-1055	3	6	based	base	VERB
ijassa-1055	3	7	on	on	ADP
ijassa-1055	3	8	the	the	DET
ijassa-1055	3	9	analytical	analytical	ADJ
ijassa-1055	3	10	continuation	continuation	NOUN
ijassa-1055	3	11	of	of	ADP
ijassa-1055	3	12	the	the	DET
ijassa-1055	3	13	stationary	stationary	ADJ
ijassa-1055	3	14	temperature	temperature	NOUN
ijassa-1055	3	15	distribution	distribution	NOUN
ijassa-1055	3	16	as	as	ADP
ijassa-1055	3	17	a	a	DET
ijassa-1055	3	18	harmonic	harmonic	ADJ
ijassa-1055	3	19	function	function	NOUN
ijassa-1055	3	20	from	from	ADP
ijassa-1055	3	21	the	the	DET
ijassa-1055	3	22	surface	surface	NOUN
ijassa-1055	3	23	of	of	ADP
ijassa-1055	3	24	the	the	DET
ijassa-1055	3	25	object	object	NOUN
ijassa-1055	3	26	under	under	ADP
ijassa-1055	3	27	study	study	NOUN
ijassa-1055	3	28	to	to	ADP
ijassa-1055	3	29	the	the	DET
ijassa-1055	3	30	heat	heat	NOUN
ijassa-1055	3	31	sources	source	NOUN
ijassa-1055	3	32	.	.	PUNCT
ijassa-1055	4	1	the	the	DET
ijassa-1055	4	2	continuation	continuation	NOUN
ijassa-1055	4	3	is	be	AUX
ijassa-1055	4	4	performed	perform	VERB
ijassa-1055	4	5	by	by	ADP
ijassa-1055	4	6	solving	solve	VERB
ijassa-1055	4	7	an	an	DET
ijassa-1055	4	8	ill	ill	ADJ
ijassa-1055	4	9	posed	pose	VERB
ijassa-1055	4	10	mixed	mixed	ADJ
ijassa-1055	4	11	problem	problem	NOUN
ijassa-1055	4	12	for	for	ADP
ijassa-1055	4	13	the	the	DET
ijassa-1055	4	14	laplace	laplace	NOUN
ijassa-1055	4	15	equation	equation	NOUN
ijassa-1055	4	16	in	in	ADP
ijassa-1055	4	17	a	a	DET
ijassa-1055	4	18	cylindrical	cylindrical	ADJ
ijassa-1055	4	19	region	region	NOUN
ijassa-1055	4	20	of	of	ADP
ijassa-1055	4	21	rectangular	rectangular	ADJ
ijassa-1055	4	22	cross	cross	NOUN
ijassa-1055	4	23	-	-	NOUN
ijassa-1055	4	24	section	section	NOUN
ijassa-1055	4	25	.	.	PUNCT
ijassa-1055	5	1	the	the	DET
ijassa-1055	5	2	cylindrical	cylindrical	ADJ
ijassa-1055	5	3	area	area	NOUN
ijassa-1055	5	4	is	be	AUX
ijassa-1055	5	5	bounded	bound	VERB
ijassa-1055	5	6	by	by	ADP
ijassa-1055	5	7	an	an	DET
ijassa-1055	5	8	arbitrary	arbitrary	ADJ
ijassa-1055	5	9	surface	surface	NOUN
ijassa-1055	5	10	and	and	CCONJ
ijassa-1055	5	11	plane	plane	NOUN
ijassa-1055	5	12	.	.	PUNCT
ijassa-1055	6	1	the	the	DET
ijassa-1055	6	2	cauchy	cauchy	PROPN
ijassa-1055	6	3	conditions	condition	NOUN
ijassa-1055	6	4	are	be	AUX
ijassa-1055	6	5	set	set	VERB
ijassa-1055	6	6	on	on	ADP
ijassa-1055	6	7	the	the	DET
ijassa-1055	6	8	surface	surface	NOUN
ijassa-1055	6	9	-	-	PUNCT
ijassa-1055	6	10	the	the	DET
ijassa-1055	6	11	boundary	boundary	ADJ
ijassa-1055	6	12	values	value	NOUN
ijassa-1055	6	13	of	of	ADP
ijassa-1055	6	14	the	the	DET
ijassa-1055	6	15	desired	desire	VERB
ijassa-1055	6	16	function	function	NOUN
ijassa-1055	6	17	and	and	CCONJ
ijassa-1055	6	18	its	its	PRON
ijassa-1055	6	19	normal	normal	ADJ
ijassa-1055	6	20	derivative	derivative	NOUN
ijassa-1055	6	21	.	.	PUNCT
ijassa-1055	7	1	inhomogeneous	inhomogeneous	ADJ
ijassa-1055	7	2	conditions	condition	NOUN
ijassa-1055	7	3	of	of	ADP
ijassa-1055	7	4	the	the	DET
ijassa-1055	7	5	first	first	ADJ
ijassa-1055	7	6	kind	kind	NOUN
ijassa-1055	7	7	are	be	AUX
ijassa-1055	7	8	set	set	VERB
ijassa-1055	7	9	on	on	ADP
ijassa-1055	7	10	the	the	DET
ijassa-1055	7	11	side	side	NOUN
ijassa-1055	7	12	faces	face	NOUN
ijassa-1055	7	13	of	of	ADP
ijassa-1055	7	14	the	the	DET
ijassa-1055	7	15	cylinder	cylinder	NOUN
ijassa-1055	7	16	.	.	PUNCT
ijassa-1055	8	1	the	the	DET
ijassa-1055	8	2	problem	problem	NOUN
ijassa-1055	8	3	is	be	AUX
ijassa-1055	8	4	the	the	DET
ijassa-1055	8	5	inverse	inverse	NOUN
ijassa-1055	8	6	of	of	ADP
ijassa-1055	8	7	the	the	DET
ijassa-1055	8	8	corresponding	corresponding	ADJ
ijassa-1055	8	9	mixed	mixed	ADJ
ijassa-1055	8	10	problem	problem	NOUN
ijassa-1055	8	11	for	for	ADP
ijassa-1055	8	12	the	the	DET
ijassa-1055	8	13	poisson	poisson	NOUN
ijassa-1055	8	14	equation	equation	NOUN
ijassa-1055	8	15	.	.	PUNCT
ijassa-1055	9	1	in	in	ADP
ijassa-1055	9	2	this	this	DET
ijassa-1055	9	3	paper	paper	NOUN
ijassa-1055	9	4	,	,	PUNCT
ijassa-1055	9	5	an	an	DET
ijassa-1055	9	6	approximate	approximate	ADJ
ijassa-1055	9	7	solution	solution	NOUN
ijassa-1055	9	8	of	of	ADP
ijassa-1055	9	9	the	the	DET
ijassa-1055	9	10	problem	problem	NOUN
ijassa-1055	9	11	is	be	AUX
ijassa-1055	9	12	obtained	obtain	VERB
ijassa-1055	9	13	that	that	PRON
ijassa-1055	9	14	is	be	AUX
ijassa-1055	9	15	stable	stable	ADJ
ijassa-1055	9	16	with	with	ADP
ijassa-1055	9	17	respect	respect	NOUN
ijassa-1055	9	18	to	to	ADP
ijassa-1055	9	19	the	the	DET
ijassa-1055	9	20	error	error	NOUN
ijassa-1055	9	21	in	in	ADP
ijassa-1055	9	22	the	the	DET
ijassa-1055	9	23	cauchy	cauchy	PROPN
ijassa-1055	9	24	data	datum	NOUN
ijassa-1055	9	25	and	and	CCONJ
ijassa-1055	9	26	inhomogeneity	inhomogeneity	NOUN
ijassa-1055	9	27	in	in	ADP
ijassa-1055	9	28	the	the	DET
ijassa-1055	9	29	boundary	boundary	ADJ
ijassa-1055	9	30	conditions	condition	NOUN
ijassa-1055	9	31	.	.	PUNCT
ijassa-1055	10	1	in	in	ADP
ijassa-1055	10	2	the	the	DET
ijassa-1055	10	3	course	course	NOUN
ijassa-1055	10	4	of	of	ADP
ijassa-1055	10	5	constructing	construct	VERB
ijassa-1055	10	6	an	an	DET
ijassa-1055	10	7	approximate	approximate	ADJ
ijassa-1055	10	8	solution	solution	NOUN
ijassa-1055	10	9	,	,	PUNCT
ijassa-1055	10	10	the	the	DET
ijassa-1055	10	11	problem	problem	NOUN
ijassa-1055	10	12	is	be	AUX
ijassa-1055	10	13	reduced	reduce	VERB
ijassa-1055	10	14	to	to	ADP
ijassa-1055	10	15	the	the	DET
ijassa-1055	10	16	fredholm	fredholm	ADJ
ijassa-1055	10	17	integral	integral	ADJ
ijassa-1055	10	18	equation	equation	NOUN
ijassa-1055	10	19	of	of	ADP
ijassa-1055	10	20	the	the	DET
ijassa-1055	10	21	first	first	ADJ
ijassa-1055	10	22	kind	kind	NOUN
ijassa-1055	10	23	,	,	PUNCT
ijassa-1055	10	24	which	which	PRON
ijassa-1055	10	25	is	be	AUX
ijassa-1055	10	26	solved	solve	VERB
ijassa-1055	10	27	using	use	VERB
ijassa-1055	10	28	the	the	DET
ijassa-1055	10	29	minimum	minimum	ADJ
ijassa-1055	10	30	smoothing	smooth	VERB
ijassa-1055	10	31	functional	functional	ADJ
ijassa-1055	10	32	principle	principle	NOUN
ijassa-1055	10	33	.	.	PUNCT
ijassa-1055	11	1	the	the	DET
ijassa-1055	11	2	convergence	convergence	NOUN
ijassa-1055	11	3	of	of	ADP
ijassa-1055	11	4	the	the	DET
ijassa-1055	11	5	approximate	approximate	ADJ
ijassa-1055	11	6	solution	solution	NOUN
ijassa-1055	11	7	of	of	ADP
ijassa-1055	11	8	the	the	DET
ijassa-1055	11	9	problem	problem	NOUN
ijassa-1055	11	10	is	be	AUX
ijassa-1055	11	11	proved	prove	VERB
ijassa-1055	11	12	when	when	SCONJ
ijassa-1055	11	13	the	the	DET
ijassa-1055	11	14	regularization	regularization	NOUN
ijassa-1055	11	15	parameter	parameter	NOUN
ijassa-1055	11	16	is	be	AUX
ijassa-1055	11	17	matched	match	VERB
ijassa-1055	11	18	to	to	ADP
ijassa-1055	11	19	the	the	DET
ijassa-1055	11	20	error	error	NOUN
ijassa-1055	11	21	in	in	ADP
ijassa-1055	11	22	the	the	DET
ijassa-1055	11	23	data	datum	NOUN
ijassa-1055	11	24	.	.	PUNCT
ijassa-1055	12	1	keywords	keyword	NOUN
ijassa-1055	12	2	:	:	PUNCT
ijassa-1055	12	3	termogram	termogram	PROPN
ijassa-1055	12	4	,	,	PUNCT
ijassa-1055	12	5	ill	ill	ADV
ijassa-1055	12	6	-	-	PUNCT
ijassa-1055	12	7	posed	pose	VERB
ijassa-1055	12	8	problem	problem	NOUN
ijassa-1055	12	9	,	,	PUNCT
ijassa-1055	12	10	inverse	inverse	NOUN
ijassa-1055	12	11	problem	problem	NOUN
ijassa-1055	12	12	,	,	PUNCT
ijassa-1055	12	13	cauchy	cauchy	NOUN
ijassa-1055	12	14	problem	problem	NOUN
ijassa-1055	12	15	for	for	ADP
ijassa-1055	12	16	the	the	DET
ijassa-1055	12	17	laplace	laplace	NOUN
ijassa-1055	12	18	equation	equation	NOUN
ijassa-1055	12	19	,	,	PUNCT
ijassa-1055	12	20	integral	integral	ADJ
ijassa-1055	12	21	equation	equation	NOUN
ijassa-1055	12	22	of	of	ADP
ijassa-1055	12	23	the	the	DET
ijassa-1055	12	24	first	first	ADJ
ijassa-1055	12	25	kind	kind	NOUN
ijassa-1055	12	26	,	,	PUNCT
ijassa-1055	12	27	tikhonov	tikhonov	VERB
ijassa-1055	12	28	regularization	regularization	NOUN
ijassa-1055	12	29	method	method	NOUN
ijassa-1055	12	30	1	1	NUM
ijassa-1055	12	31	.	.	PUNCT
ijassa-1055	13	1	introduction	introduction	NOUN
ijassa-1055	13	2	digital	digital	PROPN
ijassa-1055	13	3	technologies	technology	NOUN
ijassa-1055	13	4	have	have	AUX
ijassa-1055	13	5	penetrated	penetrate	VERB
ijassa-1055	13	6	into	into	ADP
ijassa-1055	13	7	all	all	DET
ijassa-1055	13	8	branches	branch	NOUN
ijassa-1055	13	9	of	of	ADP
ijassa-1055	13	10	human	human	ADJ
ijassa-1055	13	11	activity	activity	NOUN
ijassa-1055	13	12	and	and	CCONJ
ijassa-1055	13	13	one	one	NUM
ijassa-1055	13	14	of	of	ADP
ijassa-1055	13	15	the	the	DET
ijassa-1055	13	16	urgent	urgent	ADJ
ijassa-1055	13	17	problems	problem	NOUN
ijassa-1055	13	18	is	be	AUX
ijassa-1055	13	19	to	to	PART
ijassa-1055	13	20	improve	improve	VERB
ijassa-1055	13	21	the	the	DET
ijassa-1055	13	22	quality	quality	NOUN
ijassa-1055	13	23	and	and	CCONJ
ijassa-1055	13	24	information	information	NOUN
ijassa-1055	13	25	content	content	NOUN
ijassa-1055	13	26	of	of	ADP
ijassa-1055	13	27	representations	representation	NOUN
ijassa-1055	13	28	of	of	ADP
ijassa-1055	13	29	research	research	NOUN
ijassa-1055	13	30	results	result	NOUN
ijassa-1055	13	31	,	,	PUNCT
ijassa-1055	13	32	in	in	ADP
ijassa-1055	13	33	particular	particular	ADJ
ijassa-1055	13	34	,	,	PUNCT
ijassa-1055	13	35	the	the	DET
ijassa-1055	13	36	quality	quality	NOUN
ijassa-1055	13	37	of	of	ADP
ijassa-1055	13	38	images	image	NOUN
ijassa-1055	13	39	obtained	obtain	VERB
ijassa-1055	13	40	from	from	ADP
ijassa-1055	13	41	measurement	measurement	NOUN
ijassa-1055	13	42	data	datum	NOUN
ijassa-1055	13	43	,	,	PUNCT
ijassa-1055	13	44	through	through	ADP
ijassa-1055	13	45	their	their	PRON
ijassa-1055	13	46	mathematical	mathematical	ADJ
ijassa-1055	13	47	(	(	PUNCT
ijassa-1055	13	48	digital	digital	ADJ
ijassa-1055	13	49	)	)	PUNCT
ijassa-1055	13	50	processing	processing	NOUN
ijassa-1055	13	51	.	.	PUNCT
ijassa-1055	14	1	this	this	PRON
ijassa-1055	14	2	applies	apply	VERB
ijassa-1055	14	3	,	,	PUNCT
ijassa-1055	14	4	for	for	ADP
ijassa-1055	14	5	example	example	NOUN
ijassa-1055	14	6	,	,	PUNCT
ijassa-1055	14	7	to	to	ADP
ijassa-1055	14	8	images	image	NOUN
ijassa-1055	14	9	obtained	obtain	VERB
ijassa-1055	14	10	by	by	ADP
ijassa-1055	14	11	thermal	thermal	ADJ
ijassa-1055	14	12	imaging	imaging	NOUN
ijassa-1055	14	13	methods	method	NOUN
ijassa-1055	14	14	using	use	VERB
ijassa-1055	14	15	a	a	DET
ijassa-1055	14	16	thermal	thermal	ADJ
ijassa-1055	14	17	imager	imager	NOUN
ijassa-1055	14	18	that	that	PRON
ijassa-1055	14	19	registers	register	VERB
ijassa-1055	14	20	thermal	thermal	ADJ
ijassa-1055	14	21	electromagnetic	electromagnetic	ADJ
ijassa-1055	14	22	radiation	radiation	NOUN
ijassa-1055	14	23	from	from	ADP
ijassa-1055	14	24	the	the	DET
ijassa-1055	14	25	surface	surface	NOUN
ijassa-1055	14	26	of	of	ADP
ijassa-1055	14	27	the	the	DET
ijassa-1055	14	28	object	object	NOUN
ijassa-1055	14	29	under	under	ADP
ijassa-1055	14	30	study	study	NOUN
ijassa-1055	14	31	in	in	ADP
ijassa-1055	14	32	the	the	DET
ijassa-1055	14	33	infrared	infrared	ADJ
ijassa-1055	14	34	range	range	NOUN
ijassa-1055	14	35	.	.	PUNCT
ijassa-1055	15	1	in	in	ADP
ijassa-1055	15	2	particular	particular	ADJ
ijassa-1055	15	3	,	,	PUNCT
ijassa-1055	15	4	in	in	ADP
ijassa-1055	15	5	medicine	medicine	NOUN
ijassa-1055	15	6	,	,	PUNCT
ijassa-1055	15	7	thermal	thermal	ADJ
ijassa-1055	15	8	imaging	imaging	NOUN
ijassa-1055	15	9	has	have	AUX
ijassa-1055	15	10	become	become	VERB
ijassa-1055	15	11	an	an	DET
ijassa-1055	15	12	effective	effective	ADJ
ijassa-1055	15	13	means	mean	NOUN
ijassa-1055	15	14	of	of	ADP
ijassa-1055	15	15	early	early	ADJ
ijassa-1055	15	16	diagnostics	diagnostic	NOUN
ijassa-1055	15	17	[	[	X
ijassa-1055	15	18	1	1	NUM
ijassa-1055	15	19	]	]	PUNCT
ijassa-1055	15	20	.	.	PUNCT
ijassa-1055	16	1	the	the	DET
ijassa-1055	16	2	image	image	NOUN
ijassa-1055	16	3	on	on	ADP
ijassa-1055	16	4	the	the	DET
ijassa-1055	16	5	thermogram	thermogram	NOUN
ijassa-1055	16	6	,	,	PUNCT
ijassa-1055	16	7	which	which	PRON
ijassa-1055	16	8	is	be	AUX
ijassa-1055	16	9	a	a	DET
ijassa-1055	16	10	map	map	NOUN
ijassa-1055	16	11	of	of	ADP
ijassa-1055	16	12	the	the	DET
ijassa-1055	16	13	temperature	temperature	NOUN
ijassa-1055	16	14	distribution	distribution	NOUN
ijassa-1055	16	15	on	on	ADP
ijassa-1055	16	16	the	the	DET
ijassa-1055	16	17	surface	surface	NOUN
ijassa-1055	16	18	of	of	ADP
ijassa-1055	16	19	the	the	DET
ijassa-1055	16	20	patient	patient	NOUN
ijassa-1055	16	21	’s	’s	PART
ijassa-1055	16	22	body	body	NOUN
ijassa-1055	16	23	,	,	PUNCT
ijassa-1055	16	24	makes	make	VERB
ijassa-1055	16	25	it	it	PRON
ijassa-1055	16	26	possible	possible	ADJ
ijassa-1055	16	27	to	to	PART
ijassa-1055	16	28	assess	assess	VERB
ijassa-1055	16	29	functional	functional	ADJ
ijassa-1055	16	30	abnormalities	abnormality	NOUN
ijassa-1055	16	31	in	in	ADP
ijassa-1055	16	32	the	the	DET
ijassa-1055	16	33	state	state	NOUN
ijassa-1055	16	34	of	of	ADP
ijassa-1055	16	35	his	his	PRON
ijassa-1055	16	36	internal	internal	ADJ
ijassa-1055	16	37	organs	organ	NOUN
ijassa-1055	16	38	.	.	PUNCT
ijassa-1055	17	1	at	at	ADP
ijassa-1055	17	2	the	the	DET
ijassa-1055	17	3	same	same	ADJ
ijassa-1055	17	4	time	time	NOUN
ijassa-1055	17	5	,	,	PUNCT
ijassa-1055	17	6	the	the	DET
ijassa-1055	17	7	image	image	NOUN
ijassa-1055	17	8	on	on	ADP
ijassa-1055	17	9	the	the	DET
ijassa-1055	17	10	thermogram	thermogram	NOUN
ijassa-1055	17	11	in	in	ADP
ijassa-1055	17	12	some	some	DET
ijassa-1055	17	13	cases	case	NOUN
ijassa-1055	17	14	turns	turn	VERB
ijassa-1055	17	15	out	out	ADP
ijassa-1055	17	16	to	to	PART
ijassa-1055	17	17	be	be	AUX
ijassa-1055	17	18	somewhat	somewhat	ADV
ijassa-1055	17	19	distorted	distort	VERB
ijassa-1055	17	20	due	due	ADP
ijassa-1055	17	21	to	to	ADP
ijassa-1055	17	22	the	the	DET
ijassa-1055	17	23	processes	process	NOUN
ijassa-1055	17	24	of	of	ADP
ijassa-1055	17	25	thermal	thermal	ADJ
ijassa-1055	17	26	conductivity	conductivity	NOUN
ijassa-1055	17	27	and	and	CCONJ
ijassa-1055	17	28	heat	heat	NOUN
ijassa-1055	17	29	exchange	exchange	NOUN
ijassa-1055	17	30	.	.	PUNCT
ijassa-1055	18	1	the	the	DET
ijassa-1055	18	2	paper	paper	NOUN
ijassa-1055	18	3	proposes	propose	VERB
ijassa-1055	18	4	a	a	DET
ijassa-1055	18	5	method	method	NOUN
ijassa-1055	18	6	for	for	ADP
ijassa-1055	18	7	correcting	correct	VERB
ijassa-1055	18	8	the	the	DET
ijassa-1055	18	9	image	image	NOUN
ijassa-1055	18	10	on	on	ADP
ijassa-1055	18	11	a	a	DET
ijassa-1055	18	12	thermogram	thermogram	NOUN
ijassa-1055	18	13	within	within	ADP
ijassa-1055	18	14	a	a	DET
ijassa-1055	18	15	certain	certain	ADJ
ijassa-1055	18	16	mathematical	mathematical	ADJ
ijassa-1055	18	17	model	model	NOUN
ijassa-1055	18	18	.	.	PUNCT
ijassa-1055	19	1	as	as	ADP
ijassa-1055	19	2	a	a	DET
ijassa-1055	19	3	corrected	correct	VERB
ijassa-1055	19	4	thermogram	thermogram	NOUN
ijassa-1055	19	5	,	,	PUNCT
ijassa-1055	19	6	the	the	DET
ijassa-1055	19	7	image	image	NOUN
ijassa-1055	19	8	of	of	ADP
ijassa-1055	19	9	the	the	DET
ijassa-1055	19	10	temperature	temperature	NOUN
ijassa-1055	19	11	distribution	distribution	NOUN
ijassa-1055	19	12	on	on	ADP
ijassa-1055	19	13	the	the	DET
ijassa-1055	19	14	plane	plane	NOUN
ijassa-1055	19	15	near	near	ADP
ijassa-1055	19	16	the	the	DET
ijassa-1055	19	17	density	density	NOUN
ijassa-1055	19	18	of	of	ADP
ijassa-1055	19	19	heat	heat	NOUN
ijassa-1055	19	20	sources	source	NOUN
ijassa-1055	19	21	is	be	AUX
ijassa-1055	19	22	considered	consider	VERB
ijassa-1055	19	23	as	as	ADV
ijassa-1055	19	24	more	more	ADV
ijassa-1055	19	25	accurately	accurately	ADV
ijassa-1055	19	26	transmitting	transmit	VERB
ijassa-1055	19	27	the	the	DET
ijassa-1055	19	28	image	image	NOUN
ijassa-1055	19	29	of	of	ADP
ijassa-1055	19	30	heat	heat	NOUN
ijassa-1055	19	31	sources	source	NOUN
ijassa-1055	19	32	.	.	PUNCT
ijassa-1055	20	1	it	it	PRON
ijassa-1055	20	2	is	be	AUX
ijassa-1055	20	3	proposed	propose	VERB
ijassa-1055	20	4	to	to	PART
ijassa-1055	20	5	obtain	obtain	VERB
ijassa-1055	20	6	this	this	DET
ijassa-1055	20	7	distribution	distribution	NOUN
ijassa-1055	20	8	as	as	ADP
ijassa-1055	20	9	a	a	DET
ijassa-1055	20	10	result	result	NOUN
ijassa-1055	20	11	of	of	ADP
ijassa-1055	20	12	the	the	DET
ijassa-1055	20	13	continuation	continuation	NOUN
ijassa-1055	20	14	(	(	PUNCT
ijassa-1055	20	15	similar	similar	ADJ
ijassa-1055	20	16	to	to	ADP
ijassa-1055	20	17	the	the	DET
ijassa-1055	20	18	continuation	continuation	NOUN
ijassa-1055	20	19	of	of	ADP
ijassa-1055	20	20	gravitational	gravitational	ADJ
ijassa-1055	20	21	fields	field	NOUN
ijassa-1055	20	22	in	in	ADP
ijassa-1055	20	23	geophysics	geophysic	NOUN
ijassa-1055	20	24	problems	problem	NOUN
ijassa-1055	20	25	[	[	X
ijassa-1055	20	26	2	2	NUM
ijassa-1055	20	27	]	]	PUNCT
ijassa-1055	20	28	)	)	PUNCT
ijassa-1055	20	29	of	of	ADP
ijassa-1055	20	30	the	the	DET
ijassa-1055	20	31	temperature	temperature	NOUN
ijassa-1055	20	32	distribution	distribution	NOUN
ijassa-1055	20	33	from	from	ADP
ijassa-1055	20	34	the	the	DET
ijassa-1055	20	35	surface	surface	NOUN
ijassa-1055	20	36	from	from	ADP
ijassa-1055	20	37	which	which	PRON
ijassa-1055	20	38	the	the	DET
ijassa-1055	20	39	original	original	ADJ
ijassa-1055	20	40	thermogram	thermogram	NOUN
ijassa-1055	20	41	is	be	AUX
ijassa-1055	20	42	taken	take	VERB
ijassa-1055	20	43	.	.	PUNCT
ijassa-1055	21	1	the	the	DET
ijassa-1055	21	2	continuation	continuation	NOUN
ijassa-1055	21	3	is	be	AUX
ijassa-1055	21	4	obtained	obtain	VERB
ijassa-1055	21	5	by	by	ADP
ijassa-1055	21	6	solving	solve	VERB
ijassa-1055	21	7	∗corresponding	∗corresponde	VERB
ijassa-1055	21	8	author	author	NOUN
ijassa-1055	21	9	:	:	PUNCT
ijassa-1055	21	10	elaneev@yandex.ru	elaneev@yandex.ru	PROPN
ijassa-1055	21	11	140	140	NUM
ijassa-1055	21	12	e.	e.	PROPN
ijassa-1055	21	13	laneev	laneev	PROPN
ijassa-1055	21	14	,	,	PUNCT
ijassa-1055	21	15	n.	n.	NOUN
ijassa-1055	21	16	chernikova	chernikova	PROPN
ijassa-1055	21	17	,	,	PUNCT
ijassa-1055	21	18	o.	o.	PROPN
ijassa-1055	21	19	baaj	baaj	VERB
ijassa-1055	21	20	the	the	DET
ijassa-1055	21	21	inverse	inverse	ADJ
ijassa-1055	21	22	problem	problem	NOUN
ijassa-1055	21	23	to	to	ADP
ijassa-1055	21	24	a	a	DET
ijassa-1055	21	25	certain	certain	ADJ
ijassa-1055	21	26	mixed	mixed	ADJ
ijassa-1055	21	27	boundary	boundary	ADJ
ijassa-1055	21	28	value	value	NOUN
ijassa-1055	21	29	problem	problem	NOUN
ijassa-1055	21	30	for	for	ADP
ijassa-1055	21	31	the	the	DET
ijassa-1055	21	32	poisson	poisson	NOUN
ijassa-1055	21	33	equation	equation	NOUN
ijassa-1055	21	34	.	.	PUNCT
ijassa-1055	22	1	the	the	DET
ijassa-1055	22	2	considered	consider	VERB
ijassa-1055	22	3	inverse	inverse	NOUN
ijassa-1055	22	4	problem	problem	NOUN
ijassa-1055	22	5	is	be	AUX
ijassa-1055	22	6	ill	ill	ADV
ijassa-1055	22	7	-	-	PUNCT
ijassa-1055	22	8	posed	pose	VERB
ijassa-1055	22	9	,	,	PUNCT
ijassa-1055	22	10	since	since	SCONJ
ijassa-1055	22	11	small	small	ADJ
ijassa-1055	22	12	errors	error	NOUN
ijassa-1055	22	13	in	in	ADP
ijassa-1055	22	14	the	the	DET
ijassa-1055	22	15	initial	initial	ADJ
ijassa-1055	22	16	data	datum	NOUN
ijassa-1055	22	17	(	(	PUNCT
ijassa-1055	22	18	the	the	DET
ijassa-1055	22	19	initial	initial	ADJ
ijassa-1055	22	20	thermogram	thermogram	NOUN
ijassa-1055	22	21	)	)	PUNCT
ijassa-1055	22	22	may	may	AUX
ijassa-1055	22	23	correspond	correspond	VERB
ijassa-1055	22	24	to	to	ADP
ijassa-1055	22	25	significant	significant	ADJ
ijassa-1055	22	26	errors	error	NOUN
ijassa-1055	22	27	in	in	ADP
ijassa-1055	22	28	the	the	DET
ijassa-1055	22	29	solution	solution	NOUN
ijassa-1055	22	30	of	of	ADP
ijassa-1055	22	31	the	the	DET
ijassa-1055	22	32	inverse	inverse	NOUN
ijassa-1055	22	33	problem	problem	NOUN
ijassa-1055	22	34	.	.	PUNCT
ijassa-1055	23	1	to	to	PART
ijassa-1055	23	2	construct	construct	VERB
ijassa-1055	23	3	its	its	PRON
ijassa-1055	23	4	stable	stable	ADJ
ijassa-1055	23	5	approximate	approximate	ADJ
ijassa-1055	23	6	solution	solution	NOUN
ijassa-1055	23	7	,	,	PUNCT
ijassa-1055	23	8	we	we	PRON
ijassa-1055	23	9	use	use	VERB
ijassa-1055	23	10	the	the	DET
ijassa-1055	23	11	tikhonov	tikhonov	NOUN
ijassa-1055	23	12	regularization	regularization	NOUN
ijassa-1055	23	13	method	method	NOUN
ijassa-1055	23	14	[	[	X
ijassa-1055	23	15	3	3	NUM
ijassa-1055	23	16	]	]	PUNCT
ijassa-1055	23	17	,	,	PUNCT
ijassa-1055	23	18	based	base	VERB
ijassa-1055	23	19	on	on	ADP
ijassa-1055	23	20	optimization	optimization	NOUN
ijassa-1055	23	21	methods	method	NOUN
ijassa-1055	23	22	[	[	X
ijassa-1055	23	23	4	4	NUM
ijassa-1055	23	24	]	]	PUNCT
ijassa-1055	23	25	.	.	PUNCT
ijassa-1055	24	1	2	2	X
ijassa-1055	24	2	.	.	X
ijassa-1055	24	3	statement	statement	NOUN
ijassa-1055	24	4	of	of	ADP
ijassa-1055	24	5	the	the	DET
ijassa-1055	24	6	problem	problem	NOUN
ijassa-1055	24	7	let	let	VERB
ijassa-1055	24	8	’s	’s	NOUN
ijassa-1055	24	9	consider	consider	VERB
ijassa-1055	24	10	a	a	DET
ijassa-1055	24	11	physical	physical	ADJ
ijassa-1055	24	12	and	and	CCONJ
ijassa-1055	24	13	then	then	ADV
ijassa-1055	24	14	a	a	DET
ijassa-1055	24	15	mathematical	mathematical	ADJ
ijassa-1055	24	16	model	model	NOUN
ijassa-1055	24	17	,	,	PUNCT
ijassa-1055	24	18	within	within	ADP
ijassa-1055	24	19	which	which	PRON
ijassa-1055	24	20	we	we	PRON
ijassa-1055	24	21	will	will	AUX
ijassa-1055	24	22	set	set	VERB
ijassa-1055	24	23	the	the	DET
ijassa-1055	24	24	inverse	inverse	NOUN
ijassa-1055	24	25	problem	problem	NOUN
ijassa-1055	24	26	.	.	PUNCT
ijassa-1055	25	1	the	the	DET
ijassa-1055	25	2	physical	physical	ADJ
ijassa-1055	25	3	model	model	NOUN
ijassa-1055	25	4	is	be	AUX
ijassa-1055	25	5	a	a	DET
ijassa-1055	25	6	homogeneous	homogeneous	ADJ
ijassa-1055	25	7	heat	heat	NOUN
ijassa-1055	25	8	-	-	PUNCT
ijassa-1055	25	9	conducting	conduct	VERB
ijassa-1055	25	10	body	body	NOUN
ijassa-1055	25	11	in	in	ADP
ijassa-1055	25	12	the	the	DET
ijassa-1055	25	13	form	form	NOUN
ijassa-1055	25	14	of	of	ADP
ijassa-1055	25	15	a	a	DET
ijassa-1055	25	16	rectangular	rectangular	ADJ
ijassa-1055	25	17	cylinder	cylinder	NOUN
ijassa-1055	25	18	,	,	PUNCT
ijassa-1055	25	19	bounded	bound	VERB
ijassa-1055	25	20	by	by	ADP
ijassa-1055	25	21	the	the	DET
ijassa-1055	25	22	surface	surface	NOUN
ijassa-1055	25	23	s	s	PART
ijassa-1055	25	24	and	and	CCONJ
ijassa-1055	25	25	containing	contain	VERB
ijassa-1055	25	26	heat	heat	NOUN
ijassa-1055	25	27	sources	source	NOUN
ijassa-1055	25	28	with	with	ADP
ijassa-1055	25	29	a	a	DET
ijassa-1055	25	30	time	time	NOUN
ijassa-1055	25	31	-	-	PUNCT
ijassa-1055	25	32	independent	independent	ADJ
ijassa-1055	25	33	density	density	NOUN
ijassa-1055	25	34	function	function	NOUN
ijassa-1055	25	35	that	that	PRON
ijassa-1055	25	36	create	create	VERB
ijassa-1055	25	37	a	a	DET
ijassa-1055	25	38	stationary	stationary	ADJ
ijassa-1055	25	39	temperature	temperature	NOUN
ijassa-1055	25	40	distribution	distribution	NOUN
ijassa-1055	25	41	in	in	ADP
ijassa-1055	25	42	the	the	DET
ijassa-1055	25	43	body	body	NOUN
ijassa-1055	25	44	.	.	PUNCT
ijassa-1055	26	1	we	we	PRON
ijassa-1055	26	2	associate	associate	VERB
ijassa-1055	26	3	the	the	DET
ijassa-1055	26	4	density	density	NOUN
ijassa-1055	26	5	function	function	NOUN
ijassa-1055	26	6	of	of	ADP
ijassa-1055	26	7	heat	heat	NOUN
ijassa-1055	26	8	sources	source	NOUN
ijassa-1055	26	9	with	with	ADP
ijassa-1055	26	10	the	the	DET
ijassa-1055	26	11	object	object	NOUN
ijassa-1055	26	12	under	under	ADP
ijassa-1055	26	13	study	study	NOUN
ijassa-1055	26	14	.	.	PUNCT
ijassa-1055	27	1	we	we	PRON
ijassa-1055	27	2	assume	assume	VERB
ijassa-1055	27	3	that	that	SCONJ
ijassa-1055	27	4	a	a	DET
ijassa-1055	27	5	given	give	VERB
ijassa-1055	27	6	temperature	temperature	NOUN
ijassa-1055	27	7	distribution	distribution	NOUN
ijassa-1055	27	8	is	be	AUX
ijassa-1055	27	9	maintained	maintain	VERB
ijassa-1055	27	10	on	on	ADP
ijassa-1055	27	11	the	the	DET
ijassa-1055	27	12	side	side	NOUN
ijassa-1055	27	13	faces	face	NOUN
ijassa-1055	27	14	of	of	ADP
ijassa-1055	27	15	the	the	DET
ijassa-1055	27	16	cylinder	cylinder	NOUN
ijassa-1055	27	17	,	,	PUNCT
ijassa-1055	27	18	and	and	CCONJ
ijassa-1055	27	19	on	on	ADP
ijassa-1055	27	20	the	the	DET
ijassa-1055	27	21	surface	surface	NOUN
ijassa-1055	27	22	s	s	VERB
ijassa-1055	27	23	there	there	PRON
ijassa-1055	27	24	is	be	VERB
ijassa-1055	27	25	a	a	DET
ijassa-1055	27	26	convective	convective	ADJ
ijassa-1055	27	27	heat	heat	NOUN
ijassa-1055	27	28	exchange	exchange	NOUN
ijassa-1055	27	29	with	with	ADP
ijassa-1055	27	30	the	the	DET
ijassa-1055	27	31	external	external	ADJ
ijassa-1055	27	32	environment	environment	NOUN
ijassa-1055	27	33	of	of	ADP
ijassa-1055	27	34	temperature	temperature	NOUN
ijassa-1055	27	35	u0	u0	NOUN
ijassa-1055	27	36	,	,	PUNCT
ijassa-1055	27	37	described	describe	VERB
ijassa-1055	27	38	by	by	ADP
ijassa-1055	27	39	newton	newton	PROPN
ijassa-1055	27	40	’s	’s	PART
ijassa-1055	27	41	law	law	NOUN
ijassa-1055	27	42	,	,	PUNCT
ijassa-1055	27	43	according	accord	VERB
ijassa-1055	27	44	to	to	ADP
ijassa-1055	27	45	which	which	PRON
ijassa-1055	27	46	the	the	DET
ijassa-1055	27	47	heat	heat	NOUN
ijassa-1055	27	48	flux	flux	NOUN
ijassa-1055	27	49	density	density	NOUN
ijassa-1055	27	50	at	at	ADP
ijassa-1055	27	51	a	a	DET
ijassa-1055	27	52	point	point	NOUN
ijassa-1055	27	53	on	on	ADP
ijassa-1055	27	54	the	the	DET
ijassa-1055	27	55	surface	surface	NOUN
ijassa-1055	27	56	is	be	AUX
ijassa-1055	27	57	directly	directly	ADV
ijassa-1055	27	58	proportional	proportional	ADJ
ijassa-1055	27	59	to	to	ADP
ijassa-1055	27	60	the	the	DET
ijassa-1055	27	61	temperature	temperature	NOUN
ijassa-1055	27	62	difference	difference	NOUN
ijassa-1055	27	63	inside	inside	ADP
ijassa-1055	27	64	and	and	CCONJ
ijassa-1055	27	65	outside	outside	ADV
ijassa-1055	27	66	.	.	PUNCT
ijassa-1055	28	1	let	let	VERB
ijassa-1055	28	2	’s	’s	PRON
ijassa-1055	28	3	move	move	VERB
ijassa-1055	28	4	on	on	ADP
ijassa-1055	28	5	to	to	ADP
ijassa-1055	28	6	the	the	DET
ijassa-1055	28	7	mathematical	mathematical	ADJ
ijassa-1055	28	8	model	model	NOUN
ijassa-1055	28	9	.	.	PUNCT
ijassa-1055	29	1	in	in	ADP
ijassa-1055	29	2	the	the	DET
ijassa-1055	29	3	cylinder	cylinder	NOUN
ijassa-1055	29	4	of	of	ADP
ijassa-1055	29	5	rectangular	rectangular	PROPN
ijassa-1055	29	6	cross	cross	NOUN
ijassa-1055	29	7	section	section	NOUN
ijassa-1055	29	8	d∞	d∞	NOUN
ijassa-1055	29	9	=	=	SYM
ijassa-1055	29	10	{	{	PUNCT
ijassa-1055	29	11	(	(	PUNCT
ijassa-1055	29	12	x	x	NOUN
ijassa-1055	29	13	,	,	PUNCT
ijassa-1055	29	14	y	y	PROPN
ijassa-1055	29	15	,	,	PUNCT
ijassa-1055	29	16	z	z	NOUN
ijassa-1055	29	17	)	)	PUNCT
ijassa-1055	29	18	:	:	PUNCT
ijassa-1055	29	19	0	0	PUNCT
ijassa-1055	29	20	<	<	X
ijassa-1055	29	21	x	x	X
ijassa-1055	29	22	<	<	X
ijassa-1055	29	23	lx	lx	NOUN
ijassa-1055	29	24	,	,	PUNCT
ijassa-1055	29	25	0	0	PUNCT
ijassa-1055	29	26	<	<	X
ijassa-1055	29	27	y	y	X
ijassa-1055	29	28	<	<	X
ijassa-1055	29	29	ly	ly	PROPN
ijassa-1055	29	30	,	,	PUNCT
ijassa-1055	29	31	−∞	−∞	ADP
ijassa-1055	29	32	<	<	X
ijassa-1055	29	33	z	z	X
ijassa-1055	29	34	<	<	X
ijassa-1055	29	35	∞	∞	NUM
ijassa-1055	29	36	}	}	PUNCT
ijassa-1055	29	37	⊂	⊂	PROPN
ijassa-1055	29	38	r3	r3	PROPN
ijassa-1055	29	39	consider	consider	VERB
ijassa-1055	29	40	a	a	DET
ijassa-1055	29	41	cylindrical	cylindrical	ADJ
ijassa-1055	29	42	domain	domain	NOUN
ijassa-1055	29	43	d(f,∞	d(f,∞	NOUN
ijassa-1055	29	44	)	)	PUNCT
ijassa-1055	30	1	=	=	PRON
ijassa-1055	30	2	{	{	PUNCT
ijassa-1055	30	3	(	(	PUNCT
ijassa-1055	30	4	x	x	NOUN
ijassa-1055	30	5	,	,	PUNCT
ijassa-1055	30	6	y	y	PROPN
ijassa-1055	30	7	,	,	PUNCT
ijassa-1055	30	8	z	z	NOUN
ijassa-1055	30	9	)	)	PUNCT
ijassa-1055	30	10	:	:	PUNCT
ijassa-1055	30	11	0	0	PUNCT
ijassa-1055	30	12	<	<	X
ijassa-1055	30	13	x	x	X
ijassa-1055	30	14	<	<	X
ijassa-1055	30	15	lx	lx	NOUN
ijassa-1055	30	16	,	,	PUNCT
ijassa-1055	30	17	0	0	PUNCT
ijassa-1055	30	18	<	<	X
ijassa-1055	30	19	y	y	X
ijassa-1055	30	20	<	<	X
ijassa-1055	30	21	ly	ly	PROPN
ijassa-1055	30	22	,	,	PUNCT
ijassa-1055	30	23	f	f	PROPN
ijassa-1055	30	24	(	(	PUNCT
ijassa-1055	30	25	x	x	PROPN
ijassa-1055	30	26	,	,	PUNCT
ijassa-1055	30	27	y	y	PROPN
ijassa-1055	30	28	)	)	PUNCT
ijassa-1055	30	29	<	<	X
ijassa-1055	30	30	z	z	X
ijassa-1055	30	31	<	<	X
ijassa-1055	30	32	∞	∞	NUM
ijassa-1055	30	33	}	}	PUNCT
ijassa-1055	30	34	,	,	PUNCT
ijassa-1055	30	35	(	(	PUNCT
ijassa-1055	30	36	2.1	2.1	NUM
ijassa-1055	30	37	)	)	PUNCT
ijassa-1055	30	38	bounded	bound	VERB
ijassa-1055	30	39	by	by	ADP
ijassa-1055	30	40	the	the	DET
ijassa-1055	30	41	surface	surface	NOUN
ijassa-1055	30	42	s	s	PART
ijassa-1055	30	43	=	=	PUNCT
ijassa-1055	30	44	{	{	PUNCT
ijassa-1055	30	45	(	(	PUNCT
ijassa-1055	30	46	x	x	NOUN
ijassa-1055	30	47	,	,	PUNCT
ijassa-1055	30	48	y	y	PROPN
ijassa-1055	30	49	,	,	PUNCT
ijassa-1055	30	50	z	z	NOUN
ijassa-1055	30	51	)	)	PUNCT
ijassa-1055	30	52	:	:	PUNCT
ijassa-1055	30	53	0	0	PUNCT
ijassa-1055	30	54	<	<	X
ijassa-1055	30	55	x	x	X
ijassa-1055	30	56	<	<	X
ijassa-1055	30	57	lx	lx	NOUN
ijassa-1055	30	58	,	,	PUNCT
ijassa-1055	30	59	0	0	PUNCT
ijassa-1055	30	60	<	<	X
ijassa-1055	30	61	y	y	X
ijassa-1055	30	62	<	<	X
ijassa-1055	30	63	ly	ly	PROPN
ijassa-1055	30	64	,	,	PUNCT
ijassa-1055	30	65	z	z	PROPN
ijassa-1055	30	66	=	=	SYM
ijassa-1055	30	67	f	f	PROPN
ijassa-1055	30	68	(	(	PUNCT
ijassa-1055	30	69	x	x	X
ijassa-1055	30	70	,	,	PUNCT
ijassa-1055	30	71	y	y	PROPN
ijassa-1055	30	72	)	)	PUNCT
ijassa-1055	30	73	<	<	X
ijassa-1055	30	74	h	h	X
ijassa-1055	30	75	}	}	PUNCT
ijassa-1055	30	76	.	.	PUNCT
ijassa-1055	31	1	(	(	PUNCT
ijassa-1055	31	2	2.2	2.2	NUM
ijassa-1055	31	3	)	)	PUNCT
ijassa-1055	31	4	let	let	VERB
ijassa-1055	31	5	γ	γ	NOUN
ijassa-1055	31	6	be	be	AUX
ijassa-1055	31	7	the	the	DET
ijassa-1055	31	8	sum	sum	NOUN
ijassa-1055	31	9	of	of	ADP
ijassa-1055	31	10	side	side	ADJ
ijassa-1055	31	11	faces	face	NOUN
ijassa-1055	31	12	of	of	ADP
ijassa-1055	31	13	the	the	DET
ijassa-1055	31	14	domain	domain	NOUN
ijassa-1055	31	15	d(f,∞	d(f,∞	NOUN
ijassa-1055	31	16	)	)	PUNCT
ijassa-1055	31	17	.	.	PUNCT
ijassa-1055	32	1	in	in	ADP
ijassa-1055	32	2	the	the	DET
ijassa-1055	32	3	domain	domain	NOUN
ijassa-1055	32	4	d(f,∞	d(f,∞	NOUN
ijassa-1055	32	5	)	)	PUNCT
ijassa-1055	32	6	consider	consider	VERB
ijassa-1055	32	7	the	the	DET
ijassa-1055	32	8	following	follow	VERB
ijassa-1055	32	9	mixed	mixed	ADJ
ijassa-1055	32	10	boundary	boundary	ADJ
ijassa-1055	32	11	value	value	NOUN
ijassa-1055	32	12	problem	problem	NOUN
ijassa-1055	32	13	for	for	ADP
ijassa-1055	32	14	the	the	DET
ijassa-1055	32	15	laplace	laplace	NOUN
ijassa-1055	32	16	equation	equation	NOUN
ijassa-1055	32	17	∆u(m	∆u(m	NOUN
ijassa-1055	32	18	)	)	PUNCT
ijassa-1055	32	19	=	=	PUNCT
ijassa-1055	32	20	ρ(m	ρ(m	NUM
ijassa-1055	32	21	)	)	PUNCT
ijassa-1055	32	22	,	,	PUNCT
ijassa-1055	32	23	m	m	PROPN
ijassa-1055	32	24	∈	∈	NOUN
ijassa-1055	32	25	d(f,∞	d(f,∞	PROPN
ijassa-1055	32	26	)	)	PUNCT
ijassa-1055	32	27	,	,	PUNCT
ijassa-1055	32	28	∂u	∂u	PROPN
ijassa-1055	32	29	∂n	∂n	PROPN
ijassa-1055	33	1	∣∣∣	∣∣∣	NOUN
ijassa-1055	33	2	s	s	PART
ijassa-1055	33	3	=	=	NOUN
ijassa-1055	33	4	h(u0	h(u0	NOUN
ijassa-1055	33	5	−	−	PROPN
ijassa-1055	33	6	u	u	NOUN
ijassa-1055	33	7	)	)	PUNCT
ijassa-1055	33	8	∣∣∣	∣∣∣	NOUN
ijassa-1055	33	9	s	s	PROPN
ijassa-1055	33	10	,	,	PUNCT
ijassa-1055	33	11	u|γ	u|γ	PUNCT
ijassa-1055	34	1	=	=	SYM
ijassa-1055	34	2	f1	f1	NOUN
ijassa-1055	34	3	,	,	PUNCT
ijassa-1055	34	4	u	u	PROPN
ijassa-1055	34	5	is	be	AUX
ijassa-1055	34	6	bounded	bound	VERB
ijassa-1055	34	7	when	when	SCONJ
ijassa-1055	34	8	z	z	PROPN
ijassa-1055	34	9	→∞.	→∞.	X
ijassa-1055	34	10	(	(	PUNCT
ijassa-1055	34	11	2.3	2.3	NUM
ijassa-1055	34	12	)	)	PUNCT
ijassa-1055	34	13	the	the	DET
ijassa-1055	34	14	problem	problem	NOUN
ijassa-1055	34	15	(	(	PUNCT
ijassa-1055	34	16	2.3	2.3	NUM
ijassa-1055	34	17	)	)	PUNCT
ijassa-1055	34	18	corresponds	correspond	VERB
ijassa-1055	34	19	to	to	ADP
ijassa-1055	34	20	the	the	DET
ijassa-1055	34	21	steady	steady	ADJ
ijassa-1055	34	22	-	-	PUNCT
ijassa-1055	34	23	state	state	NOUN
ijassa-1055	34	24	temperature	temperature	NOUN
ijassa-1055	34	25	distribution	distribution	NOUN
ijassa-1055	34	26	created	create	VERB
ijassa-1055	34	27	with	with	ADP
ijassa-1055	34	28	heat	heat	NOUN
ijassa-1055	34	29	sources	source	NOUN
ijassa-1055	34	30	of	of	ADP
ijassa-1055	34	31	the	the	DET
ijassa-1055	34	32	distribution	distribution	NOUN
ijassa-1055	34	33	density	density	NOUN
ijassa-1055	34	34	function	function	NOUN
ijassa-1055	34	35	ρ	ρ	PROPN
ijassa-1055	34	36	,	,	PUNCT
ijassa-1055	34	37	on	on	ADP
ijassa-1055	34	38	the	the	DET
ijassa-1055	34	39	surface	surface	NOUN
ijassa-1055	34	40	s	s	PART
ijassa-1055	34	41	–	–	PUNCT
ijassa-1055	34	42	the	the	DET
ijassa-1055	34	43	third	third	ADJ
ijassa-1055	34	44	boundary	boundary	ADJ
ijassa-1055	34	45	condition	condition	NOUN
ijassa-1055	34	46	is	be	AUX
ijassa-1055	34	47	set	set	VERB
ijassa-1055	34	48	,	,	PUNCT
ijassa-1055	34	49	corresponding	correspond	VERB
ijassa-1055	34	50	to	to	ADP
ijassa-1055	34	51	convective	convective	ADJ
ijassa-1055	34	52	heat	heat	NOUN
ijassa-1055	34	53	exchange	exchange	NOUN
ijassa-1055	34	54	with	with	ADP
ijassa-1055	34	55	the	the	DET
ijassa-1055	34	56	external	external	ADJ
ijassa-1055	34	57	environment	environment	NOUN
ijassa-1055	34	58	of	of	ADP
ijassa-1055	34	59	temperature	temperature	NOUN
ijassa-1055	34	60	u0	u0	ADJ
ijassa-1055	34	61	with	with	ADP
ijassa-1055	34	62	the	the	DET
ijassa-1055	34	63	coefficient	coefficient	NOUN
ijassa-1055	34	64	h	h	NOUN
ijassa-1055	34	65	,	,	PUNCT
ijassa-1055	34	66	on	on	ADP
ijassa-1055	34	67	the	the	DET
ijassa-1055	34	68	boundary	boundary	ADJ
ijassa-1055	34	69	γ	γ	NOUN
ijassa-1055	34	70	the	the	DET
ijassa-1055	34	71	temperature	temperature	NOUN
ijassa-1055	34	72	is	be	AUX
ijassa-1055	34	73	set	set	VERB
ijassa-1055	34	74	as	as	ADP
ijassa-1055	34	75	a	a	DET
ijassa-1055	34	76	function	function	NOUN
ijassa-1055	34	77	f1	f1	NOUN
ijassa-1055	34	78	.	.	PUNCT
ijassa-1055	35	1	we	we	PRON
ijassa-1055	35	2	assume	assume	VERB
ijassa-1055	35	3	that	that	SCONJ
ijassa-1055	35	4	the	the	DET
ijassa-1055	35	5	density	density	NOUN
ijassa-1055	35	6	carrier	carrier	NOUN
ijassa-1055	35	7	ρ	ρ	PROPN
ijassa-1055	35	8	is	be	AUX
ijassa-1055	35	9	located	locate	VERB
ijassa-1055	35	10	in	in	ADP
ijassa-1055	35	11	the	the	DET
ijassa-1055	35	12	domain	domain	NOUN
ijassa-1055	36	1	z	z	X
ijassa-1055	36	2	>	>	X
ijassa-1055	36	3	h.	h.	PROPN
ijassa-1055	37	1	we	we	PRON
ijassa-1055	37	2	also	also	ADV
ijassa-1055	37	3	assume	assume	VERB
ijassa-1055	37	4	that	that	SCONJ
ijassa-1055	37	5	the	the	DET
ijassa-1055	37	6	functions	function	NOUN
ijassa-1055	37	7	ρ	ρ	NOUN
ijassa-1055	37	8	,	,	PUNCT
ijassa-1055	37	9	f1	f1	NOUN
ijassa-1055	37	10	are	be	AUX
ijassa-1055	37	11	such	such	ADJ
ijassa-1055	37	12	that	that	SCONJ
ijassa-1055	37	13	the	the	DET
ijassa-1055	37	14	solution	solution	NOUN
ijassa-1055	37	15	of	of	ADP
ijassa-1055	37	16	the	the	DET
ijassa-1055	37	17	problem	problem	NOUN
ijassa-1055	37	18	(	(	PUNCT
ijassa-1055	37	19	2.3	2.3	NUM
ijassa-1055	37	20	)	)	PUNCT
ijassa-1055	37	21	exists	exist	VERB
ijassa-1055	37	22	in	in	ADP
ijassa-1055	37	23	c2(d(f,∞	c2(d(f,∞	NOUN
ijassa-1055	37	24	)	)	PUNCT
ijassa-1055	37	25	)	)	PUNCT
ijassa-1055	38	1	⋂	⋂	PROPN
ijassa-1055	38	2	c1(d(f,∞	c1(d(f,∞	PROPN
ijassa-1055	38	3	)	)	PUNCT
ijassa-1055	38	4	)	)	PUNCT
ijassa-1055	38	5	.	.	PUNCT
ijassa-1055	39	1	in	in	ADP
ijassa-1055	39	2	particular	particular	ADJ
ijassa-1055	39	3	,	,	PUNCT
ijassa-1055	39	4	the	the	DET
ijassa-1055	39	5	solution	solution	NOUN
ijassa-1055	39	6	of	of	ADP
ijassa-1055	39	7	the	the	DET
ijassa-1055	39	8	problem	problem	NOUN
ijassa-1055	39	9	(	(	PUNCT
ijassa-1055	39	10	2.3	2.3	NUM
ijassa-1055	39	11	)	)	PUNCT
ijassa-1055	39	12	gives	give	VERB
ijassa-1055	39	13	the	the	DET
ijassa-1055	39	14	boundary	boundary	ADJ
ijassa-1055	39	15	value	value	NOUN
ijassa-1055	39	16	u|s	u|s	NOUN
ijassa-1055	39	17	.	.	PUNCT
ijassa-1055	40	1	now	now	ADV
ijassa-1055	40	2	let	let	VERB
ijassa-1055	40	3	’s	’s	NOUN
ijassa-1055	40	4	set	set	VERB
ijassa-1055	40	5	the	the	DET
ijassa-1055	40	6	inverse	inverse	NOUN
ijassa-1055	40	7	problem	problem	NOUN
ijassa-1055	40	8	.	.	PUNCT
ijassa-1055	41	1	inverse	inverse	ADJ
ijassa-1055	41	2	problem	problem	NOUN
ijassa-1055	41	3	1	1	X
ijassa-1055	41	4	.	.	PUNCT
ijassa-1055	42	1	let	let	VERB
ijassa-1055	42	2	within	within	ADP
ijassa-1055	42	3	the	the	DET
ijassa-1055	42	4	model	model	NOUN
ijassa-1055	42	5	(	(	PUNCT
ijassa-1055	42	6	2.3	2.3	NUM
ijassa-1055	42	7	)	)	PUNCT
ijassa-1055	42	8	be	be	AUX
ijassa-1055	42	9	set	set	VERB
ijassa-1055	42	10	the	the	DET
ijassa-1055	42	11	following	follow	VERB
ijassa-1055	42	12	functions	function	NOUN
ijassa-1055	42	13	f	f	NOUN
ijassa-1055	42	14	=	=	SYM
ijassa-1055	42	15	u|s	u|s	NOUN
ijassa-1055	42	16	,	,	PUNCT
ijassa-1055	42	17	f1	f1	NOUN
ijassa-1055	42	18	=	=	SYM
ijassa-1055	42	19	u|γ	u|γ	PROPN
ijassa-1055	42	20	.	.	PUNCT
ijassa-1055	43	1	(	(	PUNCT
ijassa-1055	43	2	2.4	2.4	NUM
ijassa-1055	43	3	)	)	PUNCT
ijassa-1055	43	4	we	we	PRON
ijassa-1055	43	5	need	need	VERB
ijassa-1055	43	6	to	to	PART
ijassa-1055	43	7	find	find	VERB
ijassa-1055	43	8	a	a	DET
ijassa-1055	43	9	continuous	continuous	ADJ
ijassa-1055	43	10	function	function	NOUN
ijassa-1055	43	11	ρ	ρ	NOUN
ijassa-1055	43	12	.	.	PUNCT
ijassa-1055	44	1	copyright	copyright	NOUN
ijassa-1055	44	2	c	c	ADP
ijassa-1055	44	3	©	©	PROPN
ijassa-1055	44	4	2021	2021	NUM
ijassa-1055	44	5	assa	assa	NOUN
ijassa-1055	44	6	.	.	PUNCT
ijassa-1055	45	1	adv	adv	PROPN
ijassa-1055	45	2	syst	syst	PROPN
ijassa-1055	45	3	sci	sci	PROPN
ijassa-1055	45	4	appl	appl	PROPN
ijassa-1055	45	5	(	(	PUNCT
ijassa-1055	45	6	2021	2021	NUM
ijassa-1055	45	7	)	)	PUNCT
ijassa-1055	45	8	application	application	NOUN
ijassa-1055	45	9	of	of	ADP
ijassa-1055	45	10	the	the	DET
ijassa-1055	45	11	minimum	minimum	ADJ
ijassa-1055	45	12	principle	principle	NOUN
ijassa-1055	45	13	...	...	PUNCT
ijassa-1055	45	14	141	141	NUM
ijassa-1055	45	15	note	note	NOUN
ijassa-1055	45	16	that	that	SCONJ
ijassa-1055	45	17	density	density	NOUN
ijassa-1055	45	18	recovery	recovery	NOUN
ijassa-1055	45	19	is	be	AUX
ijassa-1055	45	20	associated	associate	VERB
ijassa-1055	45	21	with	with	ADP
ijassa-1055	45	22	the	the	DET
ijassa-1055	45	23	same	same	ADJ
ijassa-1055	45	24	difficulties	difficulty	NOUN
ijassa-1055	45	25	as	as	ADP
ijassa-1055	45	26	solving	solve	VERB
ijassa-1055	45	27	the	the	DET
ijassa-1055	45	28	inverse	inverse	ADJ
ijassa-1055	45	29	potential	potential	ADJ
ijassa-1055	45	30	problem	problem	NOUN
ijassa-1055	46	1	[	[	X
ijassa-1055	46	2	5	5	NUM
ijassa-1055	46	3	]	]	PUNCT
ijassa-1055	46	4	,	,	PUNCT
ijassa-1055	46	5	for	for	ADP
ijassa-1055	46	6	which	which	PRON
ijassa-1055	46	7	significant	significant	ADJ
ijassa-1055	46	8	restrictions	restriction	NOUN
ijassa-1055	46	9	on	on	ADP
ijassa-1055	46	10	uniqueness	uniqueness	NOUN
ijassa-1055	46	11	classes	class	NOUN
ijassa-1055	46	12	are	be	AUX
ijassa-1055	46	13	known	know	VERB
ijassa-1055	46	14	.	.	PUNCT
ijassa-1055	47	1	therefore	therefore	ADV
ijassa-1055	47	2	,	,	PUNCT
ijassa-1055	47	3	to	to	PART
ijassa-1055	47	4	solve	solve	VERB
ijassa-1055	47	5	the	the	DET
ijassa-1055	47	6	inverse	inverse	NOUN
ijassa-1055	47	7	problem	problem	NOUN
ijassa-1055	47	8	,	,	PUNCT
ijassa-1055	47	9	we	we	PRON
ijassa-1055	47	10	apply	apply	VERB
ijassa-1055	47	11	the	the	DET
ijassa-1055	47	12	approach	approach	NOUN
ijassa-1055	47	13	[	[	X
ijassa-1055	47	14	2	2	X
ijassa-1055	47	15	]	]	PUNCT
ijassa-1055	47	16	used	use	VERB
ijassa-1055	47	17	in	in	ADP
ijassa-1055	47	18	geophysics	geophysic	NOUN
ijassa-1055	47	19	problems	problem	NOUN
ijassa-1055	47	20	.	.	PUNCT
ijassa-1055	48	1	source	source	NOUN
ijassa-1055	48	2	of	of	ADP
ijassa-1055	48	3	information	information	NOUN
ijassa-1055	48	4	about	about	ADP
ijassa-1055	48	5	the	the	DET
ijassa-1055	48	6	density	density	NOUN
ijassa-1055	48	7	of	of	ADP
ijassa-1055	48	8	ρ	ρ	NOUN
ijassa-1055	48	9	we	we	PRON
ijassa-1055	48	10	will	will	AUX
ijassa-1055	48	11	consider	consider	VERB
ijassa-1055	48	12	the	the	DET
ijassa-1055	48	13	function	function	NOUN
ijassa-1055	48	14	u|z	u|z	PUNCT
ijassa-1055	49	1	=	=	ADJ
ijassa-1055	49	2	h	h	NOUN
ijassa-1055	49	3	on	on	ADP
ijassa-1055	49	4	the	the	DET
ijassa-1055	49	5	plane	plane	NOUN
ijassa-1055	49	6	z	z	NOUN
ijassa-1055	49	7	=	=	SYM
ijassa-1055	49	8	h	h	NOUN
ijassa-1055	49	9	,	,	PUNCT
ijassa-1055	49	10	that	that	PRON
ijassa-1055	49	11	is	be	AUX
ijassa-1055	49	12	closer	close	ADJ
ijassa-1055	49	13	to	to	ADP
ijassa-1055	49	14	the	the	DET
ijassa-1055	49	15	density	density	NOUN
ijassa-1055	49	16	carrier	carrier	NOUN
ijassa-1055	49	17	ρ	ρ	PROPN
ijassa-1055	49	18	than	than	ADP
ijassa-1055	49	19	the	the	DET
ijassa-1055	49	20	surface	surface	NOUN
ijassa-1055	49	21	s.	s.	PROPN
ijassa-1055	49	22	since	since	SCONJ
ijassa-1055	49	23	the	the	DET
ijassa-1055	49	24	carrier	carrier	NOUN
ijassa-1055	49	25	of	of	ADP
ijassa-1055	49	26	the	the	DET
ijassa-1055	49	27	function	function	NOUN
ijassa-1055	49	28	ρ	ρ	NOUN
ijassa-1055	49	29	by	by	ADP
ijassa-1055	49	30	the	the	DET
ijassa-1055	49	31	condition	condition	NOUN
ijassa-1055	49	32	of	of	ADP
ijassa-1055	49	33	the	the	DET
ijassa-1055	49	34	problem	problem	NOUN
ijassa-1055	49	35	(	(	PUNCT
ijassa-1055	49	36	2.3	2.3	NUM
ijassa-1055	49	37	)	)	PUNCT
ijassa-1055	49	38	is	be	AUX
ijassa-1055	49	39	located	locate	VERB
ijassa-1055	49	40	in	in	ADP
ijassa-1055	49	41	the	the	DET
ijassa-1055	49	42	domain	domain	NOUN
ijassa-1055	49	43	z	z	X
ijassa-1055	49	44	>	>	X
ijassa-1055	49	45	h	h	NOUN
ijassa-1055	49	46	,	,	PUNCT
ijassa-1055	49	47	then	then	ADV
ijassa-1055	49	48	the	the	DET
ijassa-1055	49	49	solution	solution	NOUN
ijassa-1055	49	50	of	of	ADP
ijassa-1055	49	51	the	the	DET
ijassa-1055	49	52	problem	problem	NOUN
ijassa-1055	49	53	(	(	PUNCT
ijassa-1055	49	54	2.3	2.3	NUM
ijassa-1055	49	55	)	)	PUNCT
ijassa-1055	49	56	in	in	ADP
ijassa-1055	49	57	the	the	DET
ijassa-1055	49	58	domain	domain	NOUN
ijassa-1055	49	59	d(f	d(f	NOUN
ijassa-1055	49	60	,	,	PUNCT
ijassa-1055	49	61	h	h	NOUN
ijassa-1055	49	62	)	)	PUNCT
ijassa-1055	49	63	=	=	PRON
ijassa-1055	49	64	{	{	PUNCT
ijassa-1055	49	65	(	(	PUNCT
ijassa-1055	49	66	x	x	NOUN
ijassa-1055	49	67	,	,	PUNCT
ijassa-1055	49	68	y	y	PROPN
ijassa-1055	49	69	,	,	PUNCT
ijassa-1055	49	70	z	z	NOUN
ijassa-1055	49	71	)	)	PUNCT
ijassa-1055	49	72	:	:	PUNCT
ijassa-1055	49	73	0	0	PUNCT
ijassa-1055	49	74	<	<	X
ijassa-1055	49	75	x	x	X
ijassa-1055	49	76	<	<	X
ijassa-1055	49	77	lx	lx	NOUN
ijassa-1055	49	78	,	,	PUNCT
ijassa-1055	49	79	0	0	PUNCT
ijassa-1055	49	80	<	<	X
ijassa-1055	49	81	y	y	X
ijassa-1055	49	82	<	<	X
ijassa-1055	49	83	ly	ly	PROPN
ijassa-1055	49	84	,	,	PUNCT
ijassa-1055	49	85	f	f	PROPN
ijassa-1055	49	86	(	(	PUNCT
ijassa-1055	49	87	x	x	PROPN
ijassa-1055	49	88	,	,	PUNCT
ijassa-1055	49	89	y	y	PROPN
ijassa-1055	49	90	)	)	PUNCT
ijassa-1055	49	91	<	<	X
ijassa-1055	49	92	z	z	X
ijassa-1055	49	93	<	<	X
ijassa-1055	49	94	h	h	X
ijassa-1055	49	95	}	}	PUNCT
ijassa-1055	49	96	(	(	PUNCT
ijassa-1055	49	97	2.5	2.5	NUM
ijassa-1055	49	98	)	)	PUNCT
ijassa-1055	49	99	satisfies	satisfy	VERB
ijassa-1055	49	100	the	the	DET
ijassa-1055	49	101	laplace	laplace	NOUN
ijassa-1055	49	102	equation	equation	NOUN
ijassa-1055	49	103	.	.	PUNCT
ijassa-1055	50	1	the	the	DET
ijassa-1055	50	2	sum	sum	NOUN
ijassa-1055	50	3	of	of	ADP
ijassa-1055	50	4	side	side	ADJ
ijassa-1055	50	5	faces	face	NOUN
ijassa-1055	50	6	of	of	ADP
ijassa-1055	50	7	the	the	DET
ijassa-1055	50	8	domain	domain	NOUN
ijassa-1055	50	9	d(f	d(f	NOUN
ijassa-1055	50	10	,	,	PUNCT
ijassa-1055	50	11	h	h	NOUN
ijassa-1055	50	12	)	)	PUNCT
ijassa-1055	50	13	denote	denote	VERB
ijassa-1055	50	14	by	by	ADP
ijassa-1055	50	15	γh	γh	ADV
ijassa-1055	50	16	.	.	PUNCT
ijassa-1055	51	1	instead	instead	ADV
ijassa-1055	51	2	of	of	ADP
ijassa-1055	51	3	the	the	DET
ijassa-1055	51	4	inverse	inverse	NOUN
ijassa-1055	51	5	problem	problem	NOUN
ijassa-1055	51	6	1	1	NUM
ijassa-1055	51	7	,	,	PUNCT
ijassa-1055	51	8	we	we	PRON
ijassa-1055	51	9	will	will	AUX
ijassa-1055	51	10	solve	solve	VERB
ijassa-1055	51	11	the	the	DET
ijassa-1055	51	12	following	follow	VERB
ijassa-1055	51	13	inverse	inverse	NOUN
ijassa-1055	51	14	problem	problem	NOUN
ijassa-1055	51	15	inverse	inverse	NOUN
ijassa-1055	51	16	problem	problem	NOUN
ijassa-1055	51	17	2	2	X
ijassa-1055	51	18	.	.	PUNCT
ijassa-1055	52	1	let	let	VERB
ijassa-1055	52	2	within	within	ADP
ijassa-1055	52	3	the	the	DET
ijassa-1055	52	4	model	model	NOUN
ijassa-1055	52	5	(	(	PUNCT
ijassa-1055	52	6	2.3	2.3	NUM
ijassa-1055	52	7	)	)	PUNCT
ijassa-1055	52	8	be	be	AUX
ijassa-1055	52	9	set	set	VERB
ijassa-1055	52	10	the	the	DET
ijassa-1055	52	11	following	follow	VERB
ijassa-1055	52	12	functions	function	NOUN
ijassa-1055	52	13	f	f	NOUN
ijassa-1055	52	14	=	=	SYM
ijassa-1055	52	15	u|s	u|s	NOUN
ijassa-1055	52	16	,	,	PUNCT
ijassa-1055	52	17	f1	f1	NOUN
ijassa-1055	52	18	=	=	SYM
ijassa-1055	52	19	u|γh	u|γh	NOUN
ijassa-1055	52	20	.	.	PUNCT
ijassa-1055	53	1	(	(	PUNCT
ijassa-1055	53	2	2.6	2.6	NUM
ijassa-1055	53	3	)	)	PUNCT
ijassa-1055	53	4	we	we	PRON
ijassa-1055	53	5	need	need	VERB
ijassa-1055	53	6	to	to	PART
ijassa-1055	53	7	find	find	VERB
ijassa-1055	53	8	a	a	DET
ijassa-1055	53	9	solution	solution	NOUN
ijassa-1055	53	10	u	u	NOUN
ijassa-1055	53	11	to	to	ADP
ijassa-1055	53	12	the	the	DET
ijassa-1055	53	13	boundary	boundary	ADJ
ijassa-1055	53	14	value	value	NOUN
ijassa-1055	53	15	problem	problem	NOUN
ijassa-1055	53	16	in	in	ADP
ijassa-1055	53	17	the	the	DET
ijassa-1055	53	18	domain	domain	NOUN
ijassa-1055	53	19	d(f	d(f	NOUN
ijassa-1055	53	20	,	,	PUNCT
ijassa-1055	53	21	h	h	NOUN
ijassa-1055	53	22	)	)	PUNCT
ijassa-1055	53	23	∆u(m	∆u(m	NOUN
ijassa-1055	53	24	)	)	PUNCT
ijassa-1055	53	25	=	=	SYM
ijassa-1055	54	1	0	0	NUM
ijassa-1055	54	2	,	,	PUNCT
ijassa-1055	54	3	m	m	VERB
ijassa-1055	54	4	∈	∈	NOUN
ijassa-1055	54	5	d(f	d(f	NOUN
ijassa-1055	54	6	,	,	PUNCT
ijassa-1055	54	7	h	h	NOUN
ijassa-1055	54	8	)	)	PUNCT
ijassa-1055	54	9	,	,	PUNCT
ijassa-1055	54	10	u|s	u|s	PUNCT
ijassa-1055	55	1	=	=	PUNCT
ijassa-1055	55	2	f	f	X
ijassa-1055	55	3	,	,	PUNCT
ijassa-1055	55	4	∂u	∂u	PROPN
ijassa-1055	55	5	∂n	∂n	PROPN
ijassa-1055	55	6	∣∣∣	∣∣∣	NOUN
ijassa-1055	55	7	s	s	PART
ijassa-1055	55	8	=	=	NOUN
ijassa-1055	55	9	h(u0	h(u0	NOUN
ijassa-1055	55	10	−	−	PROPN
ijassa-1055	55	11	f	f	X
ijassa-1055	55	12	)	)	PUNCT
ijassa-1055	55	13	∣∣∣	∣∣∣	NOUN
ijassa-1055	55	14	s	s	PROPN
ijassa-1055	55	15	,	,	PUNCT
ijassa-1055	55	16	u|γh	u|γh	NOUN
ijassa-1055	55	17	=	=	SYM
ijassa-1055	55	18	f1	f1	NOUN
ijassa-1055	55	19	.	.	PUNCT
ijassa-1055	56	1	(	(	PUNCT
ijassa-1055	56	2	2.7	2.7	NUM
ijassa-1055	56	3	)	)	PUNCT
ijassa-1055	56	4	we	we	PRON
ijassa-1055	56	5	will	will	AUX
ijassa-1055	56	6	consider	consider	VERB
ijassa-1055	56	7	the	the	DET
ijassa-1055	56	8	function	function	NOUN
ijassa-1055	56	9	u|z	u|z	PUNCT
ijassa-1055	57	1	=	=	ADJ
ijassa-1055	57	2	h	h	NOUN
ijassa-1055	57	3	as	as	ADP
ijassa-1055	57	4	a	a	DET
ijassa-1055	57	5	source	source	NOUN
ijassa-1055	57	6	of	of	ADP
ijassa-1055	57	7	information	information	NOUN
ijassa-1055	57	8	about	about	ADP
ijassa-1055	57	9	the	the	DET
ijassa-1055	57	10	density	density	NOUN
ijassa-1055	57	11	ρ	ρ	NOUN
ijassa-1055	57	12	.	.	PUNCT
ijassa-1055	58	1	we	we	PRON
ijassa-1055	58	2	assume	assume	VERB
ijassa-1055	58	3	that	that	SCONJ
ijassa-1055	58	4	the	the	DET
ijassa-1055	58	5	functions	function	NOUN
ijassa-1055	58	6	f	f	NOUN
ijassa-1055	58	7	,	,	PUNCT
ijassa-1055	58	8	f1	f1	NOUN
ijassa-1055	58	9	in	in	ADP
ijassa-1055	58	10	(	(	PUNCT
ijassa-1055	58	11	2.6	2.6	NUM
ijassa-1055	58	12	)	)	PUNCT
ijassa-1055	58	13	,	,	PUNCT
ijassa-1055	58	14	(	(	PUNCT
ijassa-1055	58	15	2.7	2.7	NUM
ijassa-1055	58	16	)	)	PUNCT
ijassa-1055	58	17	are	be	AUX
ijassa-1055	58	18	taken	take	VERB
ijassa-1055	58	19	from	from	ADP
ijassa-1055	58	20	the	the	DET
ijassa-1055	58	21	set	set	NOUN
ijassa-1055	58	22	of	of	ADP
ijassa-1055	58	23	solutions	solution	NOUN
ijassa-1055	58	24	of	of	ADP
ijassa-1055	58	25	the	the	DET
ijassa-1055	58	26	direct	direct	ADJ
ijassa-1055	58	27	problem	problem	NOUN
ijassa-1055	58	28	(	(	PUNCT
ijassa-1055	58	29	2.3	2.3	NUM
ijassa-1055	58	30	)	)	PUNCT
ijassa-1055	58	31	,	,	PUNCT
ijassa-1055	58	32	so	so	CCONJ
ijassa-1055	58	33	the	the	DET
ijassa-1055	58	34	solution	solution	NOUN
ijassa-1055	58	35	of	of	ADP
ijassa-1055	58	36	the	the	DET
ijassa-1055	58	37	inverse	inverse	NOUN
ijassa-1055	58	38	problem	problem	NOUN
ijassa-1055	58	39	exists	exist	VERB
ijassa-1055	58	40	in	in	ADP
ijassa-1055	58	41	c2(d(f	c2(d(f	NOUN
ijassa-1055	58	42	,	,	PUNCT
ijassa-1055	58	43	h	h	NOUN
ijassa-1055	58	44	)	)	PUNCT
ijassa-1055	58	45	)	)	PUNCT
ijassa-1055	59	1	⋂	⋂	PROPN
ijassa-1055	59	2	c1(d(f	c1(d(f	NOUN
ijassa-1055	59	3	,	,	PUNCT
ijassa-1055	59	4	h	h	NOUN
ijassa-1055	59	5	)	)	PUNCT
ijassa-1055	59	6	)	)	PUNCT
ijassa-1055	59	7	.	.	PUNCT
ijassa-1055	60	1	we	we	PRON
ijassa-1055	60	2	note	note	VERB
ijassa-1055	60	3	that	that	SCONJ
ijassa-1055	60	4	in	in	ADP
ijassa-1055	60	5	the	the	DET
ijassa-1055	60	6	problem	problem	NOUN
ijassa-1055	60	7	(	(	PUNCT
ijassa-1055	60	8	2.7	2.7	NUM
ijassa-1055	60	9	)	)	PUNCT
ijassa-1055	60	10	on	on	ADP
ijassa-1055	60	11	the	the	DET
ijassa-1055	60	12	surface	surface	NOUN
ijassa-1055	60	13	s	s	NOUN
ijassa-1055	60	14	of	of	ADP
ijassa-1055	60	15	the	the	DET
ijassa-1055	60	16	form	form	NOUN
ijassa-1055	60	17	(	(	PUNCT
ijassa-1055	60	18	2.2	2.2	NUM
ijassa-1055	60	19	)	)	PUNCT
ijassa-1055	60	20	,	,	PUNCT
ijassa-1055	60	21	cauchy	cauchy	NOUN
ijassa-1055	60	22	conditions	condition	NOUN
ijassa-1055	60	23	are	be	AUX
ijassa-1055	60	24	set	set	VERB
ijassa-1055	60	25	,	,	PUNCT
ijassa-1055	60	26	that	that	ADV
ijassa-1055	60	27	is	is	ADV
ijassa-1055	60	28	,	,	PUNCT
ijassa-1055	60	29	the	the	DET
ijassa-1055	60	30	boundary	boundary	ADJ
ijassa-1055	60	31	values	value	NOUN
ijassa-1055	60	32	f	f	PROPN
ijassa-1055	60	33	of	of	ADP
ijassa-1055	60	34	the	the	DET
ijassa-1055	60	35	desired	desire	VERB
ijassa-1055	60	36	function	function	NOUN
ijassa-1055	60	37	u	u	NOUN
ijassa-1055	60	38	and	and	CCONJ
ijassa-1055	60	39	the	the	DET
ijassa-1055	60	40	values	value	NOUN
ijassa-1055	60	41	of	of	ADP
ijassa-1055	60	42	its	its	PRON
ijassa-1055	60	43	normal	normal	ADJ
ijassa-1055	60	44	derivative	derivative	NOUN
ijassa-1055	60	45	are	be	AUX
ijassa-1055	60	46	set	set	VERB
ijassa-1055	60	47	,	,	PUNCT
ijassa-1055	60	48	so	so	CCONJ
ijassa-1055	60	49	the	the	DET
ijassa-1055	60	50	problem	problem	NOUN
ijassa-1055	60	51	(	(	PUNCT
ijassa-1055	60	52	2.7	2.7	NUM
ijassa-1055	60	53	)	)	PUNCT
ijassa-1055	60	54	has	have	VERB
ijassa-1055	60	55	a	a	DET
ijassa-1055	60	56	unique	unique	ADJ
ijassa-1055	60	57	solution	solution	NOUN
ijassa-1055	60	58	.	.	PUNCT
ijassa-1055	61	1	the	the	DET
ijassa-1055	61	2	boundary	boundary	ADJ
ijassa-1055	61	3	z	z	NOUN
ijassa-1055	61	4	=	=	SYM
ijassa-1055	61	5	h	h	NOUN
ijassa-1055	61	6	of	of	ADP
ijassa-1055	61	7	the	the	DET
ijassa-1055	61	8	domain	domain	NOUN
ijassa-1055	61	9	d(f	d(f	NOUN
ijassa-1055	61	10	,	,	PUNCT
ijassa-1055	61	11	h	h	NOUN
ijassa-1055	61	12	)	)	PUNCT
ijassa-1055	61	13	of	of	ADP
ijassa-1055	61	14	the	the	DET
ijassa-1055	61	15	form	form	NOUN
ijassa-1055	61	16	(	(	PUNCT
ijassa-1055	61	17	2.5	2.5	NUM
ijassa-1055	61	18	)	)	PUNCT
ijassa-1055	61	19	is	be	AUX
ijassa-1055	61	20	free	free	ADJ
ijassa-1055	61	21	and	and	CCONJ
ijassa-1055	61	22	,	,	PUNCT
ijassa-1055	61	23	thus	thus	ADV
ijassa-1055	61	24	,	,	PUNCT
ijassa-1055	61	25	the	the	DET
ijassa-1055	61	26	problem	problem	NOUN
ijassa-1055	61	27	(	(	PUNCT
ijassa-1055	61	28	2.7	2.7	NUM
ijassa-1055	61	29	)	)	PUNCT
ijassa-1055	61	30	is	be	AUX
ijassa-1055	61	31	unstable	unstable	ADJ
ijassa-1055	61	32	with	with	ADP
ijassa-1055	61	33	respect	respect	NOUN
ijassa-1055	61	34	to	to	ADP
ijassa-1055	61	35	data	datum	NOUN
ijassa-1055	61	36	errors	error	NOUN
ijassa-1055	61	37	,	,	PUNCT
ijassa-1055	61	38	i.e.	i.e.	X
ijassa-1055	61	39	it	it	PRON
ijassa-1055	61	40	is	be	AUX
ijassa-1055	61	41	ill	ill	ADV
ijassa-1055	61	42	-	-	PUNCT
ijassa-1055	61	43	posed	pose	VERB
ijassa-1055	61	44	.	.	PUNCT
ijassa-1055	62	1	we	we	PRON
ijassa-1055	62	2	will	will	AUX
ijassa-1055	62	3	construct	construct	VERB
ijassa-1055	62	4	an	an	DET
ijassa-1055	62	5	explicit	explicit	ADJ
ijassa-1055	62	6	representation	representation	NOUN
ijassa-1055	62	7	of	of	ADP
ijassa-1055	62	8	the	the	DET
ijassa-1055	62	9	exact	exact	ADJ
ijassa-1055	62	10	solution	solution	NOUN
ijassa-1055	62	11	of	of	ADP
ijassa-1055	62	12	the	the	DET
ijassa-1055	62	13	problem	problem	NOUN
ijassa-1055	62	14	(	(	PUNCT
ijassa-1055	62	15	2.7	2.7	NUM
ijassa-1055	62	16	)	)	PUNCT
ijassa-1055	62	17	.	.	PUNCT
ijassa-1055	63	1	3	3	X
ijassa-1055	63	2	.	.	NOUN
ijassa-1055	63	3	exact	exact	ADJ
ijassa-1055	63	4	solution	solution	NOUN
ijassa-1055	63	5	of	of	ADP
ijassa-1055	63	6	the	the	DET
ijassa-1055	63	7	problem	problem	NOUN
ijassa-1055	63	8	let	let	VERB
ijassa-1055	63	9	’s	’s	PRON
ijassa-1055	63	10	construct	construct	VERB
ijassa-1055	63	11	an	an	DET
ijassa-1055	63	12	exact	exact	ADJ
ijassa-1055	63	13	solution	solution	NOUN
ijassa-1055	63	14	of	of	ADP
ijassa-1055	63	15	the	the	DET
ijassa-1055	63	16	problem	problem	NOUN
ijassa-1055	63	17	(	(	PUNCT
ijassa-1055	63	18	2.7	2.7	NUM
ijassa-1055	63	19	)	)	PUNCT
ijassa-1055	63	20	,	,	PUNCT
ijassa-1055	63	21	following	follow	VERB
ijassa-1055	63	22	the	the	DET
ijassa-1055	63	23	scheme	scheme	NOUN
ijassa-1055	64	1	[	[	X
ijassa-1055	64	2	6	6	NUM
ijassa-1055	64	3	,	,	PUNCT
ijassa-1055	64	4	7	7	NUM
ijassa-1055	64	5	]	]	PUNCT
ijassa-1055	64	6	.	.	PUNCT
ijassa-1055	65	1	consider	consider	VERB
ijassa-1055	65	2	the	the	DET
ijassa-1055	65	3	source	source	NOUN
ijassa-1055	65	4	function	function	NOUN
ijassa-1055	65	5	ϕ(m	ϕ(m	PROPN
ijassa-1055	65	6	,	,	PUNCT
ijassa-1055	65	7	p	p	NOUN
ijassa-1055	65	8	)	)	PUNCT
ijassa-1055	65	9	of	of	ADP
ijassa-1055	65	10	the	the	DET
ijassa-1055	65	11	dirichlet	dirichlet	PROPN
ijassa-1055	65	12	problem	problem	NOUN
ijassa-1055	65	13	in	in	ADP
ijassa-1055	65	14	the	the	DET
ijassa-1055	65	15	cylinder	cylinder	NOUN
ijassa-1055	65	16	d∞	d∞	PROPN
ijassa-1055	65	17	:	:	PUNCT
ijassa-1055	65	18	∆u(p	∆u(p	NOUN
ijassa-1055	65	19	)	)	PUNCT
ijassa-1055	66	1	=	=	SYM
ijassa-1055	66	2	ρ(p	ρ(p	PROPN
ijassa-1055	66	3	)	)	PUNCT
ijassa-1055	66	4	,	,	PUNCT
ijassa-1055	66	5	p	p	NOUN
ijassa-1055	66	6	∈	∈	PROPN
ijassa-1055	66	7	d∞	d∞	NOUN
ijassa-1055	66	8	,	,	PUNCT
ijassa-1055	66	9	u|x=0,lx	u|x=0,lx	ADJ
ijassa-1055	66	10	=	=	SYM
ijassa-1055	66	11	0	0	NUM
ijassa-1055	66	12	,	,	PUNCT
ijassa-1055	66	13	u|y=0,ly	u|y=0,ly	NOUN
ijassa-1055	66	14	=	=	NOUN
ijassa-1055	66	15	0	0	NUM
ijassa-1055	66	16	,	,	PUNCT
ijassa-1055	66	17	u→	u→	PROPN
ijassa-1055	66	18	0	0	NUM
ijassa-1055	66	19	when	when	SCONJ
ijassa-1055	66	20	|z|	|z|	NOUN
ijassa-1055	66	21	→	→	SYM
ijassa-1055	66	22	∞	∞	PROPN
ijassa-1055	66	23	,	,	PUNCT
ijassa-1055	66	24	(	(	PUNCT
ijassa-1055	66	25	3.8	3.8	NUM
ijassa-1055	66	26	)	)	PUNCT
ijassa-1055	66	27	i.e.	i.e.	X
ijassa-1055	66	28	,	,	PUNCT
ijassa-1055	66	29	ϕ(m	ϕ(m	PROPN
ijassa-1055	66	30	,	,	PUNCT
ijassa-1055	66	31	p	p	NOUN
ijassa-1055	66	32	)	)	PUNCT
ijassa-1055	66	33	=	=	SYM
ijassa-1055	67	1	1	1	NUM
ijassa-1055	67	2	4πrmp	4πrmp	NUM
ijassa-1055	67	3	+	+	ADJ
ijassa-1055	67	4	w	w	PROPN
ijassa-1055	67	5	(	(	PUNCT
ijassa-1055	67	6	m	m	PROPN
ijassa-1055	67	7	,	,	PUNCT
ijassa-1055	67	8	p	p	NOUN
ijassa-1055	67	9	)	)	PUNCT
ijassa-1055	67	10	,	,	PUNCT
ijassa-1055	67	11	(	(	PUNCT
ijassa-1055	67	12	3.9	3.9	NUM
ijassa-1055	67	13	)	)	PUNCT
ijassa-1055	67	14	where	where	SCONJ
ijassa-1055	67	15	rmp	rmp	PROPN
ijassa-1055	67	16	is	be	AUX
ijassa-1055	67	17	the	the	DET
ijassa-1055	67	18	distance	distance	NOUN
ijassa-1055	67	19	between	between	ADP
ijassa-1055	67	20	points	point	NOUN
ijassa-1055	67	21	m	m	VERB
ijassa-1055	67	22	and	and	CCONJ
ijassa-1055	67	23	p	p	PROPN
ijassa-1055	67	24	and	and	CCONJ
ijassa-1055	67	25	w	w	PROPN
ijassa-1055	67	26	(	(	PUNCT
ijassa-1055	67	27	m	m	PROPN
ijassa-1055	67	28	,	,	PUNCT
ijassa-1055	67	29	p	p	NOUN
ijassa-1055	67	30	)	)	PUNCT
ijassa-1055	67	31	is	be	AUX
ijassa-1055	67	32	a	a	DET
ijassa-1055	67	33	harmonic	harmonic	ADJ
ijassa-1055	67	34	function	function	NOUN
ijassa-1055	67	35	of	of	ADP
ijassa-1055	67	36	point	point	NOUN
ijassa-1055	67	37	p	p	PROPN
ijassa-1055	67	38	.	.	PUNCT
ijassa-1055	68	1	the	the	DET
ijassa-1055	68	2	source	source	NOUN
ijassa-1055	68	3	function	function	NOUN
ijassa-1055	68	4	can	can	AUX
ijassa-1055	68	5	be	be	AUX
ijassa-1055	68	6	obtained	obtain	VERB
ijassa-1055	68	7	by	by	ADP
ijassa-1055	68	8	the	the	DET
ijassa-1055	68	9	reflection	reflection	NOUN
ijassa-1055	68	10	method	method	NOUN
ijassa-1055	68	11	as	as	ADP
ijassa-1055	68	12	a	a	DET
ijassa-1055	68	13	sum	sum	NOUN
ijassa-1055	68	14	of	of	ADP
ijassa-1055	68	15	point	point	NOUN
ijassa-1055	68	16	source	source	NOUN
ijassa-1055	68	17	functions	function	NOUN
ijassa-1055	68	18	with	with	ADP
ijassa-1055	68	19	period	period	NOUN
ijassa-1055	68	20	2lx	2lx	NOUN
ijassa-1055	68	21	in	in	ADP
ijassa-1055	68	22	the	the	DET
ijassa-1055	68	23	variables	variable	NOUN
ijassa-1055	68	24	x	x	PUNCT
ijassa-1055	68	25	and	and	CCONJ
ijassa-1055	68	26	period	period	NOUN
ijassa-1055	68	27	2ly	2ly	NOUN
ijassa-1055	68	28	in	in	ADP
ijassa-1055	68	29	the	the	DET
ijassa-1055	68	30	variable	variable	ADJ
ijassa-1055	68	31	y	y	PROPN
ijassa-1055	68	32	,	,	PUNCT
ijassa-1055	68	33	ϕ(m	ϕ(m	PROPN
ijassa-1055	68	34	,	,	PUNCT
ijassa-1055	68	35	p	p	NOUN
ijassa-1055	68	36	)	)	PUNCT
ijassa-1055	68	37	=	=	SYM
ijassa-1055	69	1	1	1	NUM
ijassa-1055	69	2	4π	4π	NUM
ijassa-1055	69	3	∞∑	∞∑	NUM
ijassa-1055	69	4	n	n	CCONJ
ijassa-1055	69	5	,	,	PUNCT
ijassa-1055	69	6	m=−∞	m=−∞	X
ijassa-1055	69	7	(	(	PUNCT
ijassa-1055	69	8	1	1	NUM
ijassa-1055	69	9	r1,nm	r1,nm	NOUN
ijassa-1055	69	10	−	−	PROPN
ijassa-1055	69	11	1	1	NUM
ijassa-1055	69	12	r2,nm	r2,nm	NOUN
ijassa-1055	69	13	−	−	PROPN
ijassa-1055	69	14	1	1	NUM
ijassa-1055	69	15	r3,nm	r3,nm	NOUN
ijassa-1055	69	16	+	+	CCONJ
ijassa-1055	69	17	1	1	NUM
ijassa-1055	69	18	r4,nm	r4,nm	NOUN
ijassa-1055	69	19	)	)	PUNCT
ijassa-1055	69	20	,	,	PUNCT
ijassa-1055	69	21	(	(	PUNCT
ijassa-1055	69	22	3.10	3.10	NUM
ijassa-1055	69	23	)	)	PUNCT
ijassa-1055	69	24	copyright	copyright	NOUN
ijassa-1055	69	25	c	c	ADP
ijassa-1055	69	26	©	©	PROPN
ijassa-1055	69	27	2021	2021	NUM
ijassa-1055	69	28	assa	assa	NOUN
ijassa-1055	69	29	.	.	PUNCT
ijassa-1055	70	1	adv	adv	PROPN
ijassa-1055	70	2	syst	syst	PROPN
ijassa-1055	70	3	sci	sci	PROPN
ijassa-1055	70	4	appl	appl	PROPN
ijassa-1055	70	5	(	(	PUNCT
ijassa-1055	70	6	2021	2021	NUM
ijassa-1055	70	7	)	)	PUNCT
ijassa-1055	70	8	142	142	NUM
ijassa-1055	70	9	e.	e.	PROPN
ijassa-1055	70	10	laneev	laneev	PROPN
ijassa-1055	70	11	,	,	PUNCT
ijassa-1055	70	12	n.	n.	NOUN
ijassa-1055	70	13	chernikova	chernikova	PROPN
ijassa-1055	70	14	,	,	PUNCT
ijassa-1055	70	15	o.	o.	PROPN
ijassa-1055	70	16	baaj	baaj	VERB
ijassa-1055	70	17	where	where	SCONJ
ijassa-1055	70	18	r1,nm	r1,nm	NOUN
ijassa-1055	70	19	=	=	PUNCT
ijassa-1055	71	1	[	[	X
ijassa-1055	71	2	(	(	PUNCT
ijassa-1055	71	3	xm	xm	PROPN
ijassa-1055	71	4	−	−	PROPN
ijassa-1055	71	5	xp	xp	NOUN
ijassa-1055	72	1	+	+	CCONJ
ijassa-1055	72	2	2lxn)2	2lxn)2	NUM
ijassa-1055	73	1	+	+	CCONJ
ijassa-1055	73	2	(	(	PUNCT
ijassa-1055	73	3	ym	ym	INTJ
ijassa-1055	73	4	−	−	NOUN
ijassa-1055	73	5	yp	yp	PROPN
ijassa-1055	74	1	+	+	CCONJ
ijassa-1055	74	2	2lym)2	2lym)2	NUM
ijassa-1055	75	1	+	+	CCONJ
ijassa-1055	75	2	(	(	PUNCT
ijassa-1055	75	3	zm	zm	PROPN
ijassa-1055	75	4	−	−	PROPN
ijassa-1055	75	5	zp	zp	PROPN
ijassa-1055	75	6	)	)	PUNCT
ijassa-1055	75	7	2]1/2	2]1/2	NUM
ijassa-1055	75	8	,	,	PUNCT
ijassa-1055	75	9	r2,nm	r2,nm	X
ijassa-1055	75	10	=	=	PUNCT
ijassa-1055	76	1	[	[	X
ijassa-1055	76	2	(	(	PUNCT
ijassa-1055	76	3	xm	xm	PROPN
ijassa-1055	77	1	+	+	NUM
ijassa-1055	77	2	xp	xp	PROPN
ijassa-1055	78	1	+	+	CCONJ
ijassa-1055	78	2	2lxn)2	2lxn)2	NUM
ijassa-1055	79	1	+	+	CCONJ
ijassa-1055	79	2	(	(	PUNCT
ijassa-1055	79	3	ym	ym	INTJ
ijassa-1055	79	4	−	−	NOUN
ijassa-1055	79	5	yp	yp	PROPN
ijassa-1055	80	1	+	+	CCONJ
ijassa-1055	80	2	2lym)2	2lym)2	NUM
ijassa-1055	81	1	+	+	CCONJ
ijassa-1055	81	2	(	(	PUNCT
ijassa-1055	81	3	zm	zm	PROPN
ijassa-1055	81	4	−	−	PROPN
ijassa-1055	81	5	zp	zp	PROPN
ijassa-1055	81	6	)	)	PUNCT
ijassa-1055	81	7	2]1/2	2]1/2	NUM
ijassa-1055	81	8	,	,	PUNCT
ijassa-1055	81	9	r3,nm	r3,nm	NOUN
ijassa-1055	82	1	=	=	PUNCT
ijassa-1055	83	1	[	[	X
ijassa-1055	83	2	(	(	PUNCT
ijassa-1055	83	3	xm	xm	PROPN
ijassa-1055	83	4	−	−	PROPN
ijassa-1055	83	5	xp	xp	NOUN
ijassa-1055	84	1	+	+	CCONJ
ijassa-1055	84	2	2lxn)2	2lxn)2	NUM
ijassa-1055	85	1	+	+	CCONJ
ijassa-1055	85	2	(	(	PUNCT
ijassa-1055	85	3	ym	ym	X
ijassa-1055	85	4	+	+	NOUN
ijassa-1055	85	5	yp	yp	X
ijassa-1055	85	6	+	+	CCONJ
ijassa-1055	85	7	2lym)2	2lym)2	NUM
ijassa-1055	85	8	+	+	CCONJ
ijassa-1055	85	9	(	(	PUNCT
ijassa-1055	85	10	zm	zm	PROPN
ijassa-1055	85	11	−	−	PROPN
ijassa-1055	85	12	zp	zp	PROPN
ijassa-1055	85	13	)	)	PUNCT
ijassa-1055	85	14	2]1/2	2]1/2	NUM
ijassa-1055	85	15	,	,	PUNCT
ijassa-1055	85	16	r4,nm	r4,nm	NOUN
ijassa-1055	85	17	=	=	PUNCT
ijassa-1055	86	1	[	[	X
ijassa-1055	86	2	(	(	PUNCT
ijassa-1055	86	3	xm	xm	PROPN
ijassa-1055	87	1	+	+	NUM
ijassa-1055	87	2	xp	xp	PROPN
ijassa-1055	88	1	+	+	CCONJ
ijassa-1055	88	2	2lxn)2	2lxn)2	NUM
ijassa-1055	89	1	+	+	CCONJ
ijassa-1055	89	2	(	(	PUNCT
ijassa-1055	89	3	ym	ym	X
ijassa-1055	89	4	+	+	NOUN
ijassa-1055	89	5	yp	yp	X
ijassa-1055	89	6	+	+	CCONJ
ijassa-1055	89	7	2lym)2	2lym)2	NUM
ijassa-1055	89	8	+	+	CCONJ
ijassa-1055	89	9	(	(	PUNCT
ijassa-1055	89	10	zm	zm	PROPN
ijassa-1055	89	11	−	−	PROPN
ijassa-1055	89	12	zp	zp	PROPN
ijassa-1055	89	13	)	)	PUNCT
ijassa-1055	89	14	2]1/2	2]1/2	NUM
ijassa-1055	89	15	,	,	PUNCT
ijassa-1055	89	16	and	and	CCONJ
ijassa-1055	89	17	,	,	PUNCT
ijassa-1055	89	18	in	in	ADP
ijassa-1055	89	19	particular	particular	ADJ
ijassa-1055	89	20	,	,	PUNCT
ijassa-1055	89	21	r1,00	r1,00	PROPN
ijassa-1055	89	22	=	=	SYM
ijassa-1055	89	23	rmp	rmp	PROPN
ijassa-1055	89	24	.	.	PUNCT
ijassa-1055	90	1	let	let	VERB
ijassa-1055	90	2	m	m	PRON
ijassa-1055	90	3	∈	∈	VERB
ijassa-1055	90	4	d(f	d(f	NOUN
ijassa-1055	90	5	,	,	PUNCT
ijassa-1055	90	6	h	h	NOUN
ijassa-1055	90	7	)	)	PUNCT
ijassa-1055	90	8	.	.	PUNCT
ijassa-1055	91	1	then	then	ADV
ijassa-1055	91	2	,	,	PUNCT
ijassa-1055	91	3	applying	apply	VERB
ijassa-1055	91	4	the	the	DET
ijassa-1055	91	5	green	green	ADJ
ijassa-1055	91	6	formulas	formula	NOUN
ijassa-1055	91	7	in	in	ADP
ijassa-1055	91	8	the	the	DET
ijassa-1055	91	9	domain	domain	NOUN
ijassa-1055	91	10	d(f	d(f	NOUN
ijassa-1055	91	11	,	,	PUNCT
ijassa-1055	91	12	h	h	NOUN
ijassa-1055	91	13	)	)	PUNCT
ijassa-1055	91	14	to	to	ADP
ijassa-1055	91	15	the	the	DET
ijassa-1055	91	16	function	function	NOUN
ijassa-1055	91	17	u(p	u(p	NOUN
ijassa-1055	91	18	)	)	PUNCT
ijassa-1055	91	19	,	,	PUNCT
ijassa-1055	91	20	i.e.	i.e.	X
ijassa-1055	91	21	,	,	PUNCT
ijassa-1055	91	22	the	the	DET
ijassa-1055	91	23	solution	solution	NOUN
ijassa-1055	91	24	of	of	ADP
ijassa-1055	91	25	problem	problem	NOUN
ijassa-1055	91	26	(	(	PUNCT
ijassa-1055	91	27	2.7	2.7	NUM
ijassa-1055	91	28	)	)	PUNCT
ijassa-1055	91	29	,	,	PUNCT
ijassa-1055	91	30	and	and	CCONJ
ijassa-1055	91	31	to	to	ADP
ijassa-1055	91	32	the	the	DET
ijassa-1055	91	33	functions	function	NOUN
ijassa-1055	91	34	1	1	NUM
ijassa-1055	91	35	4πrmp	4πrmp	NUM
ijassa-1055	91	36	and	and	CCONJ
ijassa-1055	91	37	w	w	PROPN
ijassa-1055	91	38	(	(	PUNCT
ijassa-1055	91	39	m	m	PROPN
ijassa-1055	91	40	,	,	PUNCT
ijassa-1055	91	41	p	p	NOUN
ijassa-1055	91	42	)	)	PUNCT
ijassa-1055	91	43	in	in	ADP
ijassa-1055	91	44	(	(	PUNCT
ijassa-1055	91	45	3.9	3.9	NUM
ijassa-1055	91	46	)	)	PUNCT
ijassa-1055	91	47	,	,	PUNCT
ijassa-1055	91	48	we	we	PRON
ijassa-1055	91	49	obtain	obtain	VERB
ijassa-1055	91	50	u(m	u(m	ADP
ijassa-1055	91	51	)	)	PUNCT
ijassa-1055	91	52	=	=	SYM
ijassa-1055	92	1	∫	∫	PROPN
ijassa-1055	92	2	∂d(f	∂d(f	PROPN
ijassa-1055	92	3	,	,	PUNCT
ijassa-1055	92	4	h	h	NOUN
ijassa-1055	92	5	)	)	PUNCT
ijassa-1055	93	1	[	[	X
ijassa-1055	93	2	∂u	∂u	X
ijassa-1055	93	3	∂n	∂n	PROPN
ijassa-1055	93	4	(	(	PUNCT
ijassa-1055	93	5	p	p	NOUN
ijassa-1055	93	6	)	)	PUNCT
ijassa-1055	93	7	1	1	NUM
ijassa-1055	93	8	4πrmp	4πrmp	NUM
ijassa-1055	93	9	−	−	ADP
ijassa-1055	93	10	u(p	u(p	NOUN
ijassa-1055	93	11	)	)	PUNCT
ijassa-1055	93	12	∂	∂	PUNCT
ijassa-1055	93	13	∂np	∂np	NOUN
ijassa-1055	93	14	1	1	NUM
ijassa-1055	93	15	4πrmp	4πrmp	NUM
ijassa-1055	93	16	(	(	PUNCT
ijassa-1055	93	17	m	m	PROPN
ijassa-1055	93	18	,	,	PUNCT
ijassa-1055	93	19	p	p	NOUN
ijassa-1055	93	20	)	)	PUNCT
ijassa-1055	93	21	]	]	PUNCT
ijassa-1055	93	22	dσp	dσp	VERB
ijassa-1055	93	23	,	,	PUNCT
ijassa-1055	93	24	m	m	VERB
ijassa-1055	93	25	∈	∈	NOUN
ijassa-1055	93	26	d(f	d(f	NOUN
ijassa-1055	93	27	,	,	PUNCT
ijassa-1055	93	28	h	h	NOUN
ijassa-1055	93	29	)	)	PUNCT
ijassa-1055	93	30	(	(	PUNCT
ijassa-1055	93	31	3.11	3.11	NUM
ijassa-1055	93	32	)	)	PUNCT
ijassa-1055	93	33	and	and	CCONJ
ijassa-1055	93	34	0	0	NUM
ijassa-1055	93	35	=	=	SYM
ijassa-1055	93	36	∫	∫	PROPN
ijassa-1055	93	37	∂d(f	∂d(f	PROPN
ijassa-1055	93	38	,	,	PUNCT
ijassa-1055	93	39	h	h	NOUN
ijassa-1055	93	40	)	)	PUNCT
ijassa-1055	94	1	[	[	X
ijassa-1055	94	2	∂u	∂u	X
ijassa-1055	94	3	∂n	∂n	PROPN
ijassa-1055	94	4	(	(	PUNCT
ijassa-1055	94	5	p	p	NOUN
ijassa-1055	94	6	)	)	PUNCT
ijassa-1055	94	7	w	w	PROPN
ijassa-1055	94	8	(	(	PUNCT
ijassa-1055	94	9	m	m	PROPN
ijassa-1055	94	10	,	,	PUNCT
ijassa-1055	94	11	p	p	NOUN
ijassa-1055	94	12	)	)	PUNCT
ijassa-1055	94	13	−	−	PROPN
ijassa-1055	94	14	u(p	u(p	NOUN
ijassa-1055	94	15	)	)	PUNCT
ijassa-1055	95	1	∂w	∂w	PROPN
ijassa-1055	95	2	∂np	∂np	PROPN
ijassa-1055	95	3	(	(	PUNCT
ijassa-1055	95	4	m	m	PROPN
ijassa-1055	95	5	,	,	PUNCT
ijassa-1055	95	6	p	p	NOUN
ijassa-1055	95	7	)	)	PUNCT
ijassa-1055	95	8	]	]	PUNCT
ijassa-1055	95	9	dσp	dσp	VERB
ijassa-1055	95	10	,	,	PUNCT
ijassa-1055	95	11	m	m	VERB
ijassa-1055	95	12	∈	∈	NOUN
ijassa-1055	95	13	d(f	d(f	NOUN
ijassa-1055	95	14	,	,	PUNCT
ijassa-1055	95	15	h	h	NOUN
ijassa-1055	95	16	)	)	PUNCT
ijassa-1055	95	17	.	.	PUNCT
ijassa-1055	96	1	(	(	PUNCT
ijassa-1055	96	2	3.12	3.12	NUM
ijassa-1055	96	3	)	)	PUNCT
ijassa-1055	96	4	summing	sum	VERB
ijassa-1055	96	5	(	(	PUNCT
ijassa-1055	96	6	3.11	3.11	NUM
ijassa-1055	96	7	)	)	PUNCT
ijassa-1055	96	8	and	and	CCONJ
ijassa-1055	96	9	(	(	PUNCT
ijassa-1055	96	10	3.12	3.12	NUM
ijassa-1055	96	11	)	)	PUNCT
ijassa-1055	96	12	taking	take	VERB
ijassa-1055	96	13	into	into	ADP
ijassa-1055	96	14	account	account	NOUN
ijassa-1055	96	15	(	(	PUNCT
ijassa-1055	96	16	3.9	3.9	NUM
ijassa-1055	96	17	)	)	PUNCT
ijassa-1055	96	18	we	we	PRON
ijassa-1055	96	19	obtain	obtain	VERB
ijassa-1055	96	20	u(m	u(m	ADP
ijassa-1055	96	21	)	)	PUNCT
ijassa-1055	96	22	=	=	SYM
ijassa-1055	97	1	∫	∫	PROPN
ijassa-1055	97	2	∂d(f	∂d(f	PROPN
ijassa-1055	97	3	,	,	PUNCT
ijassa-1055	97	4	h	h	NOUN
ijassa-1055	97	5	)	)	PUNCT
ijassa-1055	98	1	[	[	X
ijassa-1055	98	2	∂u	∂u	X
ijassa-1055	98	3	∂n	∂n	PROPN
ijassa-1055	98	4	(	(	PUNCT
ijassa-1055	98	5	p	p	NOUN
ijassa-1055	98	6	)	)	PUNCT
ijassa-1055	98	7	ϕ(m	ϕ(m	PROPN
ijassa-1055	98	8	,	,	PUNCT
ijassa-1055	98	9	p	p	NOUN
ijassa-1055	98	10	)	)	PUNCT
ijassa-1055	98	11	−	−	PROPN
ijassa-1055	98	12	u(p	u(p	NOUN
ijassa-1055	98	13	)	)	PUNCT
ijassa-1055	98	14	∂ϕ	∂ϕ	PROPN
ijassa-1055	98	15	∂np	∂np	PROPN
ijassa-1055	98	16	(	(	PUNCT
ijassa-1055	98	17	m	m	PROPN
ijassa-1055	98	18	,	,	PUNCT
ijassa-1055	98	19	p	p	NOUN
ijassa-1055	98	20	)	)	PUNCT
ijassa-1055	98	21	]	]	PUNCT
ijassa-1055	98	22	dσp	dσp	VERB
ijassa-1055	98	23	,	,	PUNCT
ijassa-1055	98	24	m	m	VERB
ijassa-1055	98	25	∈	∈	NOUN
ijassa-1055	98	26	d(f	d(f	NOUN
ijassa-1055	98	27	,	,	PUNCT
ijassa-1055	98	28	h	h	NOUN
ijassa-1055	98	29	)	)	PUNCT
ijassa-1055	98	30	.	.	PUNCT
ijassa-1055	99	1	(	(	PUNCT
ijassa-1055	99	2	3.13	3.13	NUM
ijassa-1055	99	3	)	)	PUNCT
ijassa-1055	99	4	given	give	VERB
ijassa-1055	99	5	homogeneous	homogeneous	ADJ
ijassa-1055	99	6	boundary	boundary	ADJ
ijassa-1055	99	7	conditions	condition	NOUN
ijassa-1055	99	8	for	for	ADP
ijassa-1055	99	9	ϕ	ϕ	NOUN
ijassa-1055	99	10	and	and	CCONJ
ijassa-1055	99	11	inhomogeneous	inhomogeneous	ADJ
ijassa-1055	99	12	ones	one	NOUN
ijassa-1055	99	13	for	for	ADP
ijassa-1055	99	14	u	u	NOUN
ijassa-1055	99	15	on	on	ADP
ijassa-1055	99	16	the	the	DET
ijassa-1055	99	17	side	side	NOUN
ijassa-1055	99	18	faces	face	NOUN
ijassa-1055	99	19	γh	γh	ADP
ijassa-1055	99	20	of	of	ADP
ijassa-1055	99	21	the	the	DET
ijassa-1055	99	22	cylindrical	cylindrical	ADJ
ijassa-1055	99	23	domain	domain	NOUN
ijassa-1055	99	24	d(f	d(f	NOUN
ijassa-1055	99	25	,	,	PUNCT
ijassa-1055	99	26	h	h	NOUN
ijassa-1055	99	27	)	)	PUNCT
ijassa-1055	99	28	,	,	PUNCT
ijassa-1055	99	29	we	we	PRON
ijassa-1055	99	30	obtain	obtain	VERB
ijassa-1055	99	31	u(m	u(m	ADP
ijassa-1055	99	32	)	)	PUNCT
ijassa-1055	99	33	=	=	SYM
ijassa-1055	100	1	∫	∫	PROPN
ijassa-1055	100	2	s	s	PART
ijassa-1055	100	3	[	[	PUNCT
ijassa-1055	100	4	h(u0	h(u0	NOUN
ijassa-1055	100	5	−	−	PROPN
ijassa-1055	100	6	f(p	f(p	PROPN
ijassa-1055	100	7	)	)	PUNCT
ijassa-1055	100	8	)	)	PUNCT
ijassa-1055	101	1	ϕ(m	ϕ(m	PROPN
ijassa-1055	101	2	,	,	PUNCT
ijassa-1055	101	3	p	p	NOUN
ijassa-1055	101	4	)	)	PUNCT
ijassa-1055	101	5	−	−	PROPN
ijassa-1055	101	6	f(p	f(p	PROPN
ijassa-1055	101	7	)	)	PUNCT
ijassa-1055	102	1	∂ϕ	∂ϕ	PROPN
ijassa-1055	102	2	∂np	∂np	PROPN
ijassa-1055	102	3	(	(	PUNCT
ijassa-1055	102	4	m	m	PROPN
ijassa-1055	102	5	,	,	PUNCT
ijassa-1055	102	6	p	p	NOUN
ijassa-1055	102	7	)	)	PUNCT
ijassa-1055	102	8	]	]	PUNCT
ijassa-1055	103	1	dσp−	dσp−	PROPN
ijassa-1055	103	2	−	−	PROPN
ijassa-1055	103	3	∫	∫	PROPN
ijassa-1055	103	4	γh	γh	X
ijassa-1055	103	5	[	[	PUNCT
ijassa-1055	103	6	f1(p	f1(p	PROPN
ijassa-1055	103	7	)	)	PUNCT
ijassa-1055	103	8	∂ϕ	∂ϕ	PROPN
ijassa-1055	103	9	∂np	∂np	PROPN
ijassa-1055	103	10	(	(	PUNCT
ijassa-1055	103	11	m	m	PROPN
ijassa-1055	103	12	,	,	PUNCT
ijassa-1055	103	13	p	p	NOUN
ijassa-1055	103	14	)	)	PUNCT
ijassa-1055	103	15	]	]	PUNCT
ijassa-1055	103	16	dσp	dσp	VERB
ijassa-1055	104	1	+	+	NUM
ijassa-1055	104	2	∫	∫	PROPN
ijassa-1055	104	3	π(h	π(h	NOUN
ijassa-1055	104	4	)	)	PUNCT
ijassa-1055	105	1	[	[	X
ijassa-1055	105	2	∂u	∂u	X
ijassa-1055	105	3	∂n	∂n	PROPN
ijassa-1055	105	4	(	(	PUNCT
ijassa-1055	105	5	p	p	NOUN
ijassa-1055	105	6	)	)	PUNCT
ijassa-1055	105	7	ϕ(m	ϕ(m	PROPN
ijassa-1055	105	8	,	,	PUNCT
ijassa-1055	105	9	p	p	NOUN
ijassa-1055	105	10	)	)	PUNCT
ijassa-1055	105	11	−	−	PROPN
ijassa-1055	105	12	u(p	u(p	NOUN
ijassa-1055	105	13	)	)	PUNCT
ijassa-1055	105	14	∂ϕ	∂ϕ	PROPN
ijassa-1055	105	15	∂np	∂np	PROPN
ijassa-1055	105	16	(	(	PUNCT
ijassa-1055	105	17	m	m	PROPN
ijassa-1055	105	18	,	,	PUNCT
ijassa-1055	105	19	p	p	NOUN
ijassa-1055	105	20	)	)	PUNCT
ijassa-1055	105	21	]	]	PUNCT
ijassa-1055	105	22	dσp	dσp	NOUN
ijassa-1055	105	23	,	,	PUNCT
ijassa-1055	105	24	where	where	SCONJ
ijassa-1055	105	25	π(h	π(h	NOUN
ijassa-1055	105	26	)	)	PUNCT
ijassa-1055	105	27	=	=	PRON
ijassa-1055	105	28	{	{	PUNCT
ijassa-1055	105	29	(	(	PUNCT
ijassa-1055	105	30	x	x	NOUN
ijassa-1055	105	31	,	,	PUNCT
ijassa-1055	105	32	y	y	PROPN
ijassa-1055	105	33	,	,	PUNCT
ijassa-1055	105	34	z	z	NOUN
ijassa-1055	105	35	)	)	PUNCT
ijassa-1055	105	36	:	:	PUNCT
ijassa-1055	105	37	0	0	PUNCT
ijassa-1055	105	38	<	<	X
ijassa-1055	105	39	x	x	X
ijassa-1055	105	40	<	<	X
ijassa-1055	105	41	lx	lx	NOUN
ijassa-1055	105	42	,	,	PUNCT
ijassa-1055	105	43	0	0	PUNCT
ijassa-1055	105	44	<	<	X
ijassa-1055	105	45	y	y	X
ijassa-1055	105	46	<	<	X
ijassa-1055	105	47	ly	ly	PROPN
ijassa-1055	105	48	,	,	PUNCT
ijassa-1055	105	49	z	z	NOUN
ijassa-1055	105	50	=	=	SYM
ijassa-1055	105	51	h	h	NOUN
ijassa-1055	105	52	}	}	PUNCT
ijassa-1055	105	53	.	.	PUNCT
ijassa-1055	106	1	(	(	PUNCT
ijassa-1055	106	2	3.14	3.14	NUM
ijassa-1055	106	3	)	)	PUNCT
ijassa-1055	106	4	in	in	ADP
ijassa-1055	106	5	the	the	DET
ijassa-1055	106	6	domain	domain	NOUN
ijassa-1055	106	7	zm	zm	PROPN
ijassa-1055	106	8	<	<	X
ijassa-1055	106	9	h	h	NOUN
ijassa-1055	106	10	,	,	PUNCT
ijassa-1055	106	11	we	we	PRON
ijassa-1055	106	12	introduce	introduce	VERB
ijassa-1055	106	13	the	the	DET
ijassa-1055	106	14	notation	notation	NOUN
ijassa-1055	106	15	φ(m	φ(m	NOUN
ijassa-1055	106	16	)	)	PUNCT
ijassa-1055	107	1	=	=	SYM
ijassa-1055	107	2	∫	∫	PROPN
ijassa-1055	107	3	s	s	PART
ijassa-1055	107	4	[	[	PUNCT
ijassa-1055	107	5	h(u0	h(u0	NOUN
ijassa-1055	107	6	−	−	PROPN
ijassa-1055	107	7	f(p	f(p	PROPN
ijassa-1055	107	8	)	)	PUNCT
ijassa-1055	107	9	)	)	PUNCT
ijassa-1055	108	1	ϕ(m	ϕ(m	PROPN
ijassa-1055	108	2	,	,	PUNCT
ijassa-1055	108	3	p	p	NOUN
ijassa-1055	108	4	)	)	PUNCT
ijassa-1055	108	5	−	−	PROPN
ijassa-1055	108	6	f(p	f(p	PROPN
ijassa-1055	108	7	)	)	PUNCT
ijassa-1055	109	1	∂ϕ	∂ϕ	PROPN
ijassa-1055	109	2	∂np	∂np	PROPN
ijassa-1055	109	3	(	(	PUNCT
ijassa-1055	109	4	m	m	PROPN
ijassa-1055	109	5	,	,	PUNCT
ijassa-1055	109	6	p	p	NOUN
ijassa-1055	109	7	)	)	PUNCT
ijassa-1055	109	8	]	]	PUNCT
ijassa-1055	109	9	dσp	dσp	VERB
ijassa-1055	109	10	−	−	NUM
ijassa-1055	109	11	∫	∫	NOUN
ijassa-1055	109	12	γh	γh	X
ijassa-1055	110	1	[	[	PUNCT
ijassa-1055	110	2	f1(p	f1(p	PROPN
ijassa-1055	110	3	)	)	PUNCT
ijassa-1055	110	4	∂ϕ	∂ϕ	PROPN
ijassa-1055	110	5	∂np	∂np	PROPN
ijassa-1055	110	6	(	(	PUNCT
ijassa-1055	110	7	m	m	PROPN
ijassa-1055	110	8	,	,	PUNCT
ijassa-1055	110	9	p	p	NOUN
ijassa-1055	110	10	)	)	PUNCT
ijassa-1055	110	11	]	]	PUNCT
ijassa-1055	110	12	dσp	dσp	VERB
ijassa-1055	110	13	,	,	PUNCT
ijassa-1055	110	14	(	(	PUNCT
ijassa-1055	110	15	3.15	3.15	NUM
ijassa-1055	110	16	)	)	PUNCT
ijassa-1055	110	17	v(m	v(m	NOUN
ijassa-1055	110	18	)	)	PUNCT
ijassa-1055	111	1	=	=	SYM
ijassa-1055	111	2	∫	∫	PROPN
ijassa-1055	111	3	π(h	π(h	PROPN
ijassa-1055	111	4	)	)	PUNCT
ijassa-1055	112	1	[	[	X
ijassa-1055	112	2	∂u	∂u	X
ijassa-1055	112	3	∂n	∂n	PROPN
ijassa-1055	112	4	(	(	PUNCT
ijassa-1055	112	5	p	p	NOUN
ijassa-1055	112	6	)	)	PUNCT
ijassa-1055	112	7	ϕ(m	ϕ(m	PROPN
ijassa-1055	112	8	,	,	PUNCT
ijassa-1055	112	9	p	p	NOUN
ijassa-1055	112	10	)	)	PUNCT
ijassa-1055	112	11	−	−	PROPN
ijassa-1055	112	12	u(p	u(p	NOUN
ijassa-1055	112	13	)	)	PUNCT
ijassa-1055	112	14	∂ϕ	∂ϕ	PROPN
ijassa-1055	112	15	∂np	∂np	PROPN
ijassa-1055	112	16	(	(	PUNCT
ijassa-1055	112	17	m	m	PROPN
ijassa-1055	112	18	,	,	PUNCT
ijassa-1055	112	19	p	p	NOUN
ijassa-1055	112	20	)	)	PUNCT
ijassa-1055	112	21	]	]	PUNCT
ijassa-1055	112	22	dσp	dσp	NOUN
ijassa-1055	112	23	,	,	PUNCT
ijassa-1055	112	24	zm	zm	PROPN
ijassa-1055	112	25	<	<	X
ijassa-1055	112	26	h.	h.	PROPN
ijassa-1055	112	27	(	(	PUNCT
ijassa-1055	112	28	3.16	3.16	NUM
ijassa-1055	112	29	)	)	PUNCT
ijassa-1055	112	30	then	then	ADV
ijassa-1055	112	31	we	we	PRON
ijassa-1055	112	32	obtain	obtain	VERB
ijassa-1055	112	33	the	the	DET
ijassa-1055	112	34	solution	solution	NOUN
ijassa-1055	112	35	of	of	ADP
ijassa-1055	112	36	the	the	DET
ijassa-1055	112	37	problem	problem	NOUN
ijassa-1055	112	38	(	(	PUNCT
ijassa-1055	112	39	2.7	2.7	NUM
ijassa-1055	112	40	)	)	PUNCT
ijassa-1055	112	41	in	in	ADP
ijassa-1055	112	42	the	the	DET
ijassa-1055	112	43	form	form	NOUN
ijassa-1055	112	44	u(m	u(m	ADP
ijassa-1055	112	45	)	)	PUNCT
ijassa-1055	112	46	=	=	SYM
ijassa-1055	112	47	v(m	v(m	NOUN
ijassa-1055	112	48	)	)	PUNCT
ijassa-1055	113	1	+	+	CCONJ
ijassa-1055	113	2	φ(m	φ(m	NOUN
ijassa-1055	113	3	)	)	PUNCT
ijassa-1055	113	4	,	,	PUNCT
ijassa-1055	113	5	m	m	VERB
ijassa-1055	113	6	∈	∈	NOUN
ijassa-1055	113	7	d(f	d(f	NOUN
ijassa-1055	113	8	,	,	PUNCT
ijassa-1055	113	9	h	h	NOUN
ijassa-1055	113	10	)	)	PUNCT
ijassa-1055	113	11	,	,	PUNCT
ijassa-1055	113	12	(	(	PUNCT
ijassa-1055	113	13	3.17	3.17	X
ijassa-1055	113	14	)	)	PUNCT
ijassa-1055	113	15	copyright	copyright	NOUN
ijassa-1055	113	16	c	c	ADP
ijassa-1055	113	17	©	©	PROPN
ijassa-1055	113	18	2021	2021	NUM
ijassa-1055	113	19	assa	assa	NOUN
ijassa-1055	113	20	.	.	PUNCT
ijassa-1055	114	1	adv	adv	PROPN
ijassa-1055	114	2	syst	syst	PROPN
ijassa-1055	114	3	sci	sci	PROPN
ijassa-1055	114	4	appl	appl	PROPN
ijassa-1055	114	5	(	(	PUNCT
ijassa-1055	114	6	2021	2021	NUM
ijassa-1055	114	7	)	)	PUNCT
ijassa-1055	114	8	application	application	NOUN
ijassa-1055	114	9	of	of	ADP
ijassa-1055	114	10	the	the	DET
ijassa-1055	114	11	minimum	minimum	ADJ
ijassa-1055	114	12	principle	principle	NOUN
ijassa-1055	114	13	...	...	PUNCT
ijassa-1055	114	14	143	143	NUM
ijassa-1055	114	15	where	where	SCONJ
ijassa-1055	114	16	the	the	DET
ijassa-1055	114	17	function	function	NOUN
ijassa-1055	114	18	φ	φ	PROPN
ijassa-1055	114	19	is	be	AUX
ijassa-1055	114	20	calculated	calculate	VERB
ijassa-1055	114	21	from	from	ADP
ijassa-1055	114	22	known	know	VERB
ijassa-1055	114	23	functions	function	NOUN
ijassa-1055	114	24	f	f	PROPN
ijassa-1055	114	25	and	and	CCONJ
ijassa-1055	114	26	f1	f1	NOUN
ijassa-1055	114	27	.	.	PUNCT
ijassa-1055	115	1	if	if	SCONJ
ijassa-1055	115	2	the	the	DET
ijassa-1055	115	3	solution	solution	NOUN
ijassa-1055	115	4	of	of	ADP
ijassa-1055	115	5	the	the	DET
ijassa-1055	115	6	problem	problem	NOUN
ijassa-1055	115	7	(	(	PUNCT
ijassa-1055	115	8	2.7	2.7	NUM
ijassa-1055	115	9	)	)	PUNCT
ijassa-1055	115	10	exists	exist	VERB
ijassa-1055	115	11	,	,	PUNCT
ijassa-1055	115	12	then	then	ADV
ijassa-1055	115	13	the	the	DET
ijassa-1055	115	14	function	function	NOUN
ijassa-1055	115	15	v	v	NOUN
ijassa-1055	115	16	of	of	ADP
ijassa-1055	115	17	the	the	DET
ijassa-1055	115	18	form	form	NOUN
ijassa-1055	115	19	(	(	PUNCT
ijassa-1055	115	20	3.16	3.16	NUM
ijassa-1055	115	21	)	)	PUNCT
ijassa-1055	115	22	,	,	PUNCT
ijassa-1055	115	23	harmonic	harmonic	VERB
ijassa-1055	115	24	in	in	ADP
ijassa-1055	115	25	the	the	DET
ijassa-1055	115	26	domain	domain	NOUN
ijassa-1055	115	27	d(−∞	d(−∞	NOUN
ijassa-1055	115	28	,	,	PUNCT
ijassa-1055	115	29	h	h	NOUN
ijassa-1055	115	30	)	)	PUNCT
ijassa-1055	115	31	=	=	PRON
ijassa-1055	115	32	{	{	PUNCT
ijassa-1055	115	33	(	(	PUNCT
ijassa-1055	115	34	x	x	NOUN
ijassa-1055	115	35	,	,	PUNCT
ijassa-1055	115	36	y	y	PROPN
ijassa-1055	115	37	,	,	PUNCT
ijassa-1055	115	38	z	z	NOUN
ijassa-1055	115	39	)	)	PUNCT
ijassa-1055	115	40	:	:	PUNCT
ijassa-1055	116	1	0	0	PUNCT
ijassa-1055	116	2	<	<	X
ijassa-1055	116	3	x	x	X
ijassa-1055	116	4	<	<	X
ijassa-1055	116	5	lx	lx	NOUN
ijassa-1055	116	6	,	,	PUNCT
ijassa-1055	116	7	0	0	PUNCT
ijassa-1055	116	8	<	<	X
ijassa-1055	116	9	y	y	X
ijassa-1055	116	10	<	<	X
ijassa-1055	116	11	ly	ly	PROPN
ijassa-1055	116	12	,	,	PUNCT
ijassa-1055	116	13	−∞	−∞	ADP
ijassa-1055	116	14	<	<	X
ijassa-1055	116	15	z	z	X
ijassa-1055	116	16	<	<	X
ijassa-1055	116	17	h	h	NOUN
ijassa-1055	116	18	}	}	PUNCT
ijassa-1055	116	19	,	,	PUNCT
ijassa-1055	116	20	can	can	AUX
ijassa-1055	116	21	be	be	AUX
ijassa-1055	116	22	represented	represent	VERB
ijassa-1055	116	23	in	in	ADP
ijassa-1055	116	24	d(f	d(f	PROPN
ijassa-1055	116	25	,	,	PUNCT
ijassa-1055	116	26	h	h	NOUN
ijassa-1055	116	27	)	)	PUNCT
ijassa-1055	117	1	⊂	⊂	PROPN
ijassa-1055	117	2	d(−∞	d(−∞	PROPN
ijassa-1055	117	3	,	,	PUNCT
ijassa-1055	117	4	h	h	PROPN
ijassa-1055	117	5	)	)	PUNCT
ijassa-1055	117	6	according	accord	VERB
ijassa-1055	117	7	to	to	ADP
ijassa-1055	117	8	(	(	PUNCT
ijassa-1055	117	9	3.17	3.17	NUM
ijassa-1055	117	10	)	)	PUNCT
ijassa-1055	117	11	in	in	ADP
ijassa-1055	117	12	the	the	DET
ijassa-1055	117	13	form	form	NOUN
ijassa-1055	117	14	v	v	ADP
ijassa-1055	117	15	=	=	SYM
ijassa-1055	117	16	u−	u−	PROPN
ijassa-1055	117	17	φ	φ	NOUN
ijassa-1055	117	18	and	and	CCONJ
ijassa-1055	117	19	then	then	ADV
ijassa-1055	117	20	it	it	PRON
ijassa-1055	117	21	may	may	AUX
ijassa-1055	117	22	be	be	AUX
ijassa-1055	117	23	defined	define	VERB
ijassa-1055	117	24	on	on	ADP
ijassa-1055	117	25	the	the	DET
ijassa-1055	117	26	boundary	boundary	NOUN
ijassa-1055	117	27	of	of	ADP
ijassa-1055	117	28	π(h	π(h	PROPN
ijassa-1055	117	29	)	)	PUNCT
ijassa-1055	117	30	as	as	ADP
ijassa-1055	117	31	a	a	DET
ijassa-1055	117	32	continuous	continuous	ADJ
ijassa-1055	117	33	function	function	NOUN
ijassa-1055	117	34	v	v	ADP
ijassa-1055	117	35	|z	|z	PROPN
ijassa-1055	118	1	=	=	NOUN
ijassa-1055	118	2	h=	h=	X
ijassa-1055	118	3	u	u	NOUN
ijassa-1055	118	4	|z	|z	PROPN
ijassa-1055	118	5	=	=	PROPN
ijassa-1055	118	6	h	h	NOUN
ijassa-1055	118	7	−φ	−φ	NUM
ijassa-1055	118	8	|z	|z	PUNCT
ijassa-1055	119	1	=	=	PROPN
ijassa-1055	119	2	h=	h=	X
ijassa-1055	119	3	vh	vh	PROPN
ijassa-1055	119	4	.	.	PUNCT
ijassa-1055	120	1	(	(	PUNCT
ijassa-1055	120	2	3.18	3.18	NUM
ijassa-1055	120	3	)	)	PUNCT
ijassa-1055	120	4	thus	thus	ADV
ijassa-1055	120	5	,	,	PUNCT
ijassa-1055	120	6	the	the	DET
ijassa-1055	120	7	function	function	NOUN
ijassa-1055	120	8	v	v	NOUN
ijassa-1055	120	9	can	can	AUX
ijassa-1055	120	10	be	be	AUX
ijassa-1055	120	11	viewed	view	VERB
ijassa-1055	120	12	as	as	ADP
ijassa-1055	120	13	a	a	DET
ijassa-1055	120	14	solution	solution	NOUN
ijassa-1055	120	15	of	of	ADP
ijassa-1055	120	16	the	the	DET
ijassa-1055	120	17	problem	problem	NOUN
ijassa-1055	120	18	∆v(m	∆v(m	PROPN
ijassa-1055	120	19	)	)	PUNCT
ijassa-1055	121	1	=	=	SYM
ijassa-1055	121	2	0	0	NUM
ijassa-1055	121	3	,	,	PUNCT
ijassa-1055	121	4	m	m	PROPN
ijassa-1055	121	5	∈	∈	PROPN
ijassa-1055	121	6	d(−∞	d(−∞	PROPN
ijassa-1055	121	7	,	,	PUNCT
ijassa-1055	121	8	h	h	NOUN
ijassa-1055	121	9	)	)	PUNCT
ijassa-1055	121	10	,	,	PUNCT
ijassa-1055	121	11	v|z	v|z	PROPN
ijassa-1055	122	1	=	=	SYM
ijassa-1055	122	2	h	h	NOUN
ijassa-1055	122	3	=	=	SYM
ijassa-1055	122	4	vh	vh	PROPN
ijassa-1055	122	5	,	,	PUNCT
ijassa-1055	122	6	v|x=0,lx	v|x=0,lx	NOUN
ijassa-1055	122	7	=	=	SYM
ijassa-1055	122	8	0	0	NUM
ijassa-1055	122	9	,	,	PUNCT
ijassa-1055	122	10	v|y=0,ly	v|y=0,ly	NOUN
ijassa-1055	122	11	=	=	SYM
ijassa-1055	122	12	0	0	NUM
ijassa-1055	122	13	,	,	PUNCT
ijassa-1055	122	14	v	v	NOUN
ijassa-1055	122	15	→	→	SYM
ijassa-1055	122	16	0	0	NUM
ijassa-1055	122	17	when	when	SCONJ
ijassa-1055	122	18	z	z	NOUN
ijassa-1055	122	19	→	→	SYM
ijassa-1055	122	20	−∞	−∞	NOUN
ijassa-1055	122	21	,	,	PUNCT
ijassa-1055	122	22	(	(	PUNCT
ijassa-1055	122	23	3.19	3.19	NUM
ijassa-1055	122	24	)	)	PUNCT
ijassa-1055	122	25	and	and	CCONJ
ijassa-1055	122	26	the	the	DET
ijassa-1055	122	27	function	function	NOUN
ijassa-1055	122	28	v	v	NOUN
ijassa-1055	122	29	can	can	AUX
ijassa-1055	122	30	be	be	AUX
ijassa-1055	122	31	expressed	express	VERB
ijassa-1055	122	32	in	in	ADP
ijassa-1055	122	33	terms	term	NOUN
ijassa-1055	122	34	of	of	ADP
ijassa-1055	122	35	the	the	DET
ijassa-1055	122	36	function	function	NOUN
ijassa-1055	122	37	vh	vh	NOUN
ijassa-1055	122	38	by	by	ADP
ijassa-1055	122	39	using	use	VERB
ijassa-1055	122	40	the	the	DET
ijassa-1055	122	41	green	green	ADJ
ijassa-1055	122	42	function	function	NOUN
ijassa-1055	122	43	of	of	ADP
ijassa-1055	122	44	problem	problem	NOUN
ijassa-1055	122	45	(	(	PUNCT
ijassa-1055	122	46	3.19	3.19	NUM
ijassa-1055	122	47	)	)	PUNCT
ijassa-1055	122	48	as	as	SCONJ
ijassa-1055	122	49	follows	follow	VERB
ijassa-1055	122	50	:	:	PUNCT
ijassa-1055	122	51	v(m	v(m	NOUN
ijassa-1055	122	52	)	)	PUNCT
ijassa-1055	123	1	=	=	SYM
ijassa-1055	124	1	−	−	PROPN
ijassa-1055	124	2	∫	∫	PROPN
ijassa-1055	124	3	π(h	π(h	PROPN
ijassa-1055	124	4	)	)	PUNCT
ijassa-1055	125	1	∂g	∂g	PROPN
ijassa-1055	125	2	∂np	∂np	PROPN
ijassa-1055	125	3	(	(	PUNCT
ijassa-1055	125	4	m	m	PROPN
ijassa-1055	125	5	,	,	PUNCT
ijassa-1055	125	6	p	p	NOUN
ijassa-1055	125	7	)	)	PUNCT
ijassa-1055	125	8	vh(p	vh(p	NOUN
ijassa-1055	125	9	)	)	PUNCT
ijassa-1055	125	10	dxpdyp	dxpdyp	NOUN
ijassa-1055	125	11	,	,	PUNCT
ijassa-1055	125	12	m	m	PROPN
ijassa-1055	125	13	∈	∈	PROPN
ijassa-1055	125	14	d(−∞	d(−∞	PROPN
ijassa-1055	125	15	,	,	PUNCT
ijassa-1055	125	16	h	h	NOUN
ijassa-1055	125	17	)	)	PUNCT
ijassa-1055	125	18	,	,	PUNCT
ijassa-1055	125	19	(	(	PUNCT
ijassa-1055	125	20	3.20	3.20	NUM
ijassa-1055	125	21	)	)	PUNCT
ijassa-1055	125	22	where	where	SCONJ
ijassa-1055	125	23	∂g	∂g	PROPN
ijassa-1055	125	24	∂np	∂np	PROPN
ijassa-1055	125	25	(	(	PUNCT
ijassa-1055	125	26	m	m	PROPN
ijassa-1055	125	27	,	,	PUNCT
ijassa-1055	125	28	p	p	NOUN
ijassa-1055	125	29	)	)	PUNCT
ijassa-1055	125	30	∣∣∣	∣∣∣	ADJ
ijassa-1055	125	31	p∈π(h	p∈π(h	NOUN
ijassa-1055	125	32	)	)	PUNCT
ijassa-1055	125	33	=	=	SYM
ijassa-1055	126	1	∂g	∂g	PROPN
ijassa-1055	126	2	∂zp	∂zp	PROPN
ijassa-1055	126	3	(	(	PUNCT
ijassa-1055	126	4	m	m	PROPN
ijassa-1055	126	5	,	,	PUNCT
ijassa-1055	126	6	p	p	NOUN
ijassa-1055	126	7	)	)	PUNCT
ijassa-1055	126	8	∣∣∣	∣∣∣	ADJ
ijassa-1055	126	9	p∈π(h	p∈π(h	NOUN
ijassa-1055	126	10	)	)	PUNCT
ijassa-1055	126	11	=	=	PUNCT
ijassa-1055	127	1	=	=	SYM
ijassa-1055	127	2	−	−	PROPN
ijassa-1055	127	3	4	4	NUM
ijassa-1055	127	4	lxly	lxly	NOUN
ijassa-1055	127	5	∞∑	∞∑	NUM
ijassa-1055	127	6	n	n	CCONJ
ijassa-1055	127	7	,	,	PUNCT
ijassa-1055	127	8	m=1	m=1	PROPN
ijassa-1055	127	9	exp	exp	NOUN
ijassa-1055	127	10	{	{	PUNCT
ijassa-1055	127	11	knm(−h	knm(−h	PROPN
ijassa-1055	127	12	+	+	PROPN
ijassa-1055	127	13	zm	zm	PROPN
ijassa-1055	127	14	)	)	PUNCT
ijassa-1055	127	15	}	}	PUNCT
ijassa-1055	127	16	sin	sin	NOUN
ijassa-1055	127	17	πnxm	πnxm	NOUN
ijassa-1055	127	18	lx	lx	ADP
ijassa-1055	127	19	sin	sin	NOUN
ijassa-1055	127	20	πmym	πmym	ADJ
ijassa-1055	127	21	ly	ly	ADP
ijassa-1055	127	22	sin	sin	NOUN
ijassa-1055	127	23	πnxp	πnxp	NOUN
ijassa-1055	127	24	lx	lx	ADP
ijassa-1055	127	25	sin	sin	NOUN
ijassa-1055	127	26	πmyp	πmyp	PROPN
ijassa-1055	127	27	ly	ly	X
ijassa-1055	127	28	,	,	PUNCT
ijassa-1055	127	29	(	(	PUNCT
ijassa-1055	127	30	3.21	3.21	NUM
ijassa-1055	127	31	)	)	PUNCT
ijassa-1055	127	32	knm	knm	NOUN
ijassa-1055	127	33	=	=	PROPN
ijassa-1055	127	34	π	π	PROPN
ijassa-1055	127	35	(	(	PUNCT
ijassa-1055	127	36	n2	n2	PROPN
ijassa-1055	127	37	l2x	l2x	PROPN
ijassa-1055	127	38	+	+	CCONJ
ijassa-1055	127	39	m2	m2	PROPN
ijassa-1055	127	40	l2y	l2y	PROPN
ijassa-1055	127	41	)	)	PUNCT
ijassa-1055	127	42	1/2	1/2	NUM
ijassa-1055	127	43	.	.	PUNCT
ijassa-1055	128	1	(	(	PUNCT
ijassa-1055	128	2	3.22	3.22	NUM
ijassa-1055	128	3	)	)	PUNCT
ijassa-1055	128	4	it	it	PRON
ijassa-1055	128	5	follows	follow	VERB
ijassa-1055	128	6	that	that	SCONJ
ijassa-1055	128	7	if	if	SCONJ
ijassa-1055	128	8	problem	problem	NOUN
ijassa-1055	128	9	(	(	PUNCT
ijassa-1055	128	10	2.7	2.7	NUM
ijassa-1055	128	11	)	)	PUNCT
ijassa-1055	128	12	has	have	VERB
ijassa-1055	128	13	a	a	DET
ijassa-1055	128	14	solution	solution	NOUN
ijassa-1055	128	15	,	,	PUNCT
ijassa-1055	128	16	then	then	ADV
ijassa-1055	128	17	(	(	PUNCT
ijassa-1055	128	18	3.20	3.20	NUM
ijassa-1055	128	19	)	)	PUNCT
ijassa-1055	128	20	implies	imply	VERB
ijassa-1055	128	21	that	that	SCONJ
ijassa-1055	128	22	the	the	DET
ijassa-1055	128	23	function	function	NOUN
ijassa-1055	128	24	v	v	NOUN
ijassa-1055	128	25	in	in	ADP
ijassa-1055	128	26	the	the	DET
ijassa-1055	128	27	domain	domain	NOUN
ijassa-1055	128	28	d(−∞	d(−∞	NOUN
ijassa-1055	128	29	,	,	PUNCT
ijassa-1055	128	30	h	h	NOUN
ijassa-1055	128	31	)	)	PUNCT
ijassa-1055	128	32	can	can	AUX
ijassa-1055	128	33	be	be	AUX
ijassa-1055	128	34	represented	represent	VERB
ijassa-1055	128	35	as	as	ADP
ijassa-1055	128	36	the	the	DET
ijassa-1055	128	37	fourier	fourier	NOUN
ijassa-1055	128	38	series	series	NOUN
ijassa-1055	128	39	v(m	v(m	NOUN
ijassa-1055	128	40	)	)	PUNCT
ijassa-1055	129	1	=	=	SYM
ijassa-1055	129	2	v(x	v(x	PROPN
ijassa-1055	129	3	,	,	PUNCT
ijassa-1055	129	4	y	y	PROPN
ijassa-1055	129	5	,	,	PUNCT
ijassa-1055	129	6	z	z	NOUN
ijassa-1055	129	7	)	)	PUNCT
ijassa-1055	129	8	=	=	PUNCT
ijassa-1055	130	1	−	−	PROPN
ijassa-1055	130	2	∞∑	∞∑	NUM
ijassa-1055	130	3	n	n	NOUN
ijassa-1055	130	4	,	,	PUNCT
ijassa-1055	130	5	m=1	m=1	X
ijassa-1055	130	6	(	(	PUNCT
ijassa-1055	130	7	ṽh)nm	ṽh)nm	PROPN
ijassa-1055	130	8	exp	exp	NOUN
ijassa-1055	130	9	{	{	PUNCT
ijassa-1055	130	10	knm(z	knm(z	PROPN
ijassa-1055	130	11	−h	−h	ADV
ijassa-1055	130	12	)	)	PUNCT
ijassa-1055	130	13	}	}	PUNCT
ijassa-1055	130	14	sin	sin	NOUN
ijassa-1055	130	15	πnx	πnx	NOUN
ijassa-1055	130	16	lx	lx	ADV
ijassa-1055	130	17	sin	sin	VERB
ijassa-1055	130	18	πmy	πmy	X
ijassa-1055	130	19	ly	ly	X
ijassa-1055	130	20	,	,	PUNCT
ijassa-1055	130	21	(	(	PUNCT
ijassa-1055	130	22	3.23	3.23	NUM
ijassa-1055	130	23	)	)	PUNCT
ijassa-1055	130	24	(	(	PUNCT
ijassa-1055	130	25	ṽh)nm	ṽh)nm	VERB
ijassa-1055	130	26	=	=	SYM
ijassa-1055	130	27	4	4	NUM
ijassa-1055	130	28	lxly	lxly	NOUN
ijassa-1055	130	29	lx∫	lx∫	PROPN
ijassa-1055	130	30	0	0	PUNCT
ijassa-1055	131	1	ly∫	ly∫	PROPN
ijassa-1055	131	2	0	0	NUM
ijassa-1055	131	3	vh(x′	vh(x′	PROPN
ijassa-1055	131	4	,	,	PUNCT
ijassa-1055	131	5	y′	y′	NUM
ijassa-1055	131	6	)	)	PUNCT
ijassa-1055	131	7	sin	sin	VERB
ijassa-1055	131	8	πnx′	πnx′	NOUN
ijassa-1055	131	9	lx	lx	NOUN
ijassa-1055	131	10	sin	sin	NOUN
ijassa-1055	131	11	πmy′	πmy′	NOUN
ijassa-1055	131	12	ly	ly	ADP
ijassa-1055	131	13	dx′dy′	dx′dy′	NOUN
ijassa-1055	131	14	,	,	PUNCT
ijassa-1055	131	15	(	(	PUNCT
ijassa-1055	131	16	3.24	3.24	NUM
ijassa-1055	131	17	)	)	PUNCT
ijassa-1055	131	18	of	of	ADP
ijassa-1055	131	19	a	a	DET
ijassa-1055	131	20	complete	complete	ADJ
ijassa-1055	131	21	system	system	NOUN
ijassa-1055	131	22	of	of	ADP
ijassa-1055	131	23	functions	function	NOUN
ijassa-1055	131	24	{	{	PUNCT
ijassa-1055	131	25	sin	sin	NOUN
ijassa-1055	131	26	πnx	πnx	NOUN
ijassa-1055	131	27	lx	lx	ADV
ijassa-1055	131	28	sin	sin	VERB
ijassa-1055	131	29	πmy	πmy	X
ijassa-1055	131	30	ly	ly	X
ijassa-1055	131	31	}	}	PUNCT
ijassa-1055	131	32	∞	∞	PROPN
ijassa-1055	131	33	n	n	CCONJ
ijassa-1055	131	34	,	,	PUNCT
ijassa-1055	131	35	m=1	m=1	PROPN
ijassa-1055	131	36	.	.	PUNCT
ijassa-1055	132	1	(	(	PUNCT
ijassa-1055	132	2	3.25	3.25	NUM
ijassa-1055	132	3	)	)	PUNCT
ijassa-1055	132	4	the	the	DET
ijassa-1055	132	5	series	series	NOUN
ijassa-1055	132	6	(	(	PUNCT
ijassa-1055	132	7	3.23	3.23	NUM
ijassa-1055	132	8	)	)	PUNCT
ijassa-1055	132	9	uniformly	uniformly	ADV
ijassa-1055	132	10	converges	converge	VERB
ijassa-1055	132	11	in	in	ADP
ijassa-1055	132	12	the	the	DET
ijassa-1055	132	13	domain	domain	NOUN
ijassa-1055	132	14	d(−∞	d(−∞	NOUN
ijassa-1055	132	15	,	,	PUNCT
ijassa-1055	132	16	h	h	NOUN
ijassa-1055	132	17	−	−	PROPN
ijassa-1055	132	18	ε	ε	PROPN
ijassa-1055	132	19	)	)	PUNCT
ijassa-1055	132	20	for	for	ADP
ijassa-1055	132	21	any	any	DET
ijassa-1055	132	22	ε	ε	PROPN
ijassa-1055	132	23	>	>	X
ijassa-1055	132	24	0	0	PROPN
ijassa-1055	132	25	,	,	PUNCT
ijassa-1055	132	26	because∣∣(ṽh)nm	because∣∣(ṽh)nm	PROPN
ijassa-1055	132	27	exp	exp	NOUN
ijassa-1055	132	28	{	{	PUNCT
ijassa-1055	132	29	knm(z	knm(z	PROPN
ijassa-1055	132	30	−h	−h	ADV
ijassa-1055	132	31	)	)	PUNCT
ijassa-1055	132	32	}	}	PUNCT
ijassa-1055	132	33	sin	sin	NOUN
ijassa-1055	132	34	πnx	πnx	NOUN
ijassa-1055	132	35	lx	lx	ADV
ijassa-1055	132	36	sin	sin	VERB
ijassa-1055	132	37	πmy	πmy	X
ijassa-1055	132	38	ly	ly	ADP
ijassa-1055	132	39	∣∣	∣∣	NUM
ijassa-1055	132	40	6	6	NUM
ijassa-1055	132	41	∣∣(ṽh)nm	∣∣(ṽh)nm	X
ijassa-1055	132	42	∣∣	∣∣	NUM
ijassa-1055	132	43	exp	exp	NOUN
ijassa-1055	132	44	{	{	PUNCT
ijassa-1055	132	45	−	−	PROPN
ijassa-1055	132	46	εknm	εknm	NOUN
ijassa-1055	132	47	}	}	PUNCT
ijassa-1055	132	48	.	.	PUNCT
ijassa-1055	133	1	copyright	copyright	NOUN
ijassa-1055	133	2	c	c	ADP
ijassa-1055	133	3	©	©	PROPN
ijassa-1055	133	4	2021	2021	NUM
ijassa-1055	133	5	assa	assa	NOUN
ijassa-1055	133	6	.	.	PUNCT
ijassa-1055	134	1	adv	adv	PROPN
ijassa-1055	134	2	syst	syst	PROPN
ijassa-1055	134	3	sci	sci	PROPN
ijassa-1055	134	4	appl	appl	PROPN
ijassa-1055	134	5	(	(	PUNCT
ijassa-1055	134	6	2021	2021	NUM
ijassa-1055	134	7	)	)	PUNCT
ijassa-1055	134	8	144	144	NUM
ijassa-1055	134	9	e.	e.	PROPN
ijassa-1055	134	10	laneev	laneev	PROPN
ijassa-1055	134	11	,	,	PUNCT
ijassa-1055	134	12	n.	n.	NOUN
ijassa-1055	134	13	chernikova	chernikova	PROPN
ijassa-1055	134	14	,	,	PUNCT
ijassa-1055	134	15	o.	o.	PROPN
ijassa-1055	134	16	baaj	baaj	PROPN
ijassa-1055	134	17	thus	thus	ADV
ijassa-1055	134	18	,	,	PUNCT
ijassa-1055	134	19	it	it	PRON
ijassa-1055	134	20	follows	follow	VERB
ijassa-1055	134	21	from	from	ADP
ijassa-1055	134	22	the	the	DET
ijassa-1055	134	23	representation	representation	NOUN
ijassa-1055	134	24	(	(	PUNCT
ijassa-1055	134	25	3.17	3.17	NUM
ijassa-1055	134	26	)	)	PUNCT
ijassa-1055	134	27	of	of	ADP
ijassa-1055	134	28	the	the	DET
ijassa-1055	134	29	solution	solution	NOUN
ijassa-1055	134	30	of	of	ADP
ijassa-1055	134	31	problem	problem	NOUN
ijassa-1055	134	32	(	(	PUNCT
ijassa-1055	134	33	2.7	2.7	NUM
ijassa-1055	134	34	)	)	PUNCT
ijassa-1055	134	35	and	and	CCONJ
ijassa-1055	134	36	from	from	ADP
ijassa-1055	134	37	(	(	PUNCT
ijassa-1055	134	38	3.23	3.23	NUM
ijassa-1055	134	39	)	)	PUNCT
ijassa-1055	134	40	that	that	PRON
ijassa-1055	134	41	,	,	PUNCT
ijassa-1055	134	42	to	to	PART
ijassa-1055	134	43	obtain	obtain	VERB
ijassa-1055	134	44	an	an	DET
ijassa-1055	134	45	explicit	explicit	ADJ
ijassa-1055	134	46	expression	expression	NOUN
ijassa-1055	134	47	for	for	ADP
ijassa-1055	134	48	the	the	DET
ijassa-1055	134	49	exact	exact	ADJ
ijassa-1055	134	50	solution	solution	NOUN
ijassa-1055	134	51	of	of	ADP
ijassa-1055	134	52	problem	problem	NOUN
ijassa-1055	134	53	(	(	PUNCT
ijassa-1055	134	54	2.7	2.7	NUM
ijassa-1055	134	55	)	)	PUNCT
ijassa-1055	134	56	,	,	PUNCT
ijassa-1055	134	57	it	it	PRON
ijassa-1055	134	58	suffices	suffice	VERB
ijassa-1055	134	59	to	to	PART
ijassa-1055	134	60	express	express	VERB
ijassa-1055	134	61	the	the	DET
ijassa-1055	134	62	function	function	NOUN
ijassa-1055	134	63	vh	vh	PROPN
ijassa-1055	134	64	(	(	PUNCT
ijassa-1055	134	65	3.18	3.18	NUM
ijassa-1055	134	66	)	)	PUNCT
ijassa-1055	134	67	in	in	ADP
ijassa-1055	134	68	terms	term	NOUN
ijassa-1055	134	69	of	of	ADP
ijassa-1055	134	70	the	the	DET
ijassa-1055	134	71	prescribed	prescribed	ADJ
ijassa-1055	134	72	functions	function	NOUN
ijassa-1055	134	73	f	f	PROPN
ijassa-1055	134	74	and	and	CCONJ
ijassa-1055	134	75	f1	f1	PROPN
ijassa-1055	134	76	.	.	PUNCT
ijassa-1055	135	1	let	let	VERB
ijassa-1055	135	2	us	we	PRON
ijassa-1055	135	3	show	show	VERB
ijassa-1055	135	4	that	that	SCONJ
ijassa-1055	135	5	the	the	DET
ijassa-1055	135	6	function	function	NOUN
ijassa-1055	135	7	vh	vh	PROPN
ijassa-1055	135	8	satisfies	satisfy	VERB
ijassa-1055	135	9	a	a	DET
ijassa-1055	135	10	fredholm	fredholm	ADJ
ijassa-1055	135	11	integral	integral	ADJ
ijassa-1055	135	12	equation	equation	NOUN
ijassa-1055	135	13	of	of	ADP
ijassa-1055	135	14	the	the	DET
ijassa-1055	135	15	first	first	ADJ
ijassa-1055	135	16	kind	kind	NOUN
ijassa-1055	135	17	.	.	PUNCT
ijassa-1055	136	1	let	let	VERB
ijassa-1055	136	2	m	m	PROPN
ijassa-1055	136	3	∈	∈	PROPN
ijassa-1055	136	4	d(−∞	d(−∞	PROPN
ijassa-1055	136	5	,	,	PUNCT
ijassa-1055	136	6	f	f	PROPN
ijassa-1055	136	7	)	)	PUNCT
ijassa-1055	136	8	,	,	PUNCT
ijassa-1055	136	9	where	where	SCONJ
ijassa-1055	136	10	d(−∞	d(−∞	PROPN
ijassa-1055	136	11	,	,	PUNCT
ijassa-1055	136	12	f	f	PROPN
ijassa-1055	136	13	)	)	PUNCT
ijassa-1055	136	14	=	=	PRON
ijassa-1055	136	15	{	{	PUNCT
ijassa-1055	136	16	(	(	PUNCT
ijassa-1055	136	17	x	x	NOUN
ijassa-1055	136	18	,	,	PUNCT
ijassa-1055	136	19	y	y	PROPN
ijassa-1055	136	20	,	,	PUNCT
ijassa-1055	136	21	z	z	NOUN
ijassa-1055	136	22	)	)	PUNCT
ijassa-1055	136	23	:	:	PUNCT
ijassa-1055	137	1	0	0	PUNCT
ijassa-1055	137	2	<	<	X
ijassa-1055	137	3	x	x	X
ijassa-1055	137	4	<	<	X
ijassa-1055	137	5	lx	lx	NOUN
ijassa-1055	137	6	,	,	PUNCT
ijassa-1055	137	7	0	0	PUNCT
ijassa-1055	137	8	<	<	X
ijassa-1055	137	9	y	y	X
ijassa-1055	137	10	<	<	X
ijassa-1055	137	11	ly	ly	PROPN
ijassa-1055	137	12	,	,	PUNCT
ijassa-1055	137	13	−∞	−∞	ADP
ijassa-1055	137	14	<	<	X
ijassa-1055	137	15	z	z	X
ijassa-1055	137	16	<	<	X
ijassa-1055	137	17	f	f	X
ijassa-1055	137	18	(	(	PUNCT
ijassa-1055	137	19	x	x	PROPN
ijassa-1055	137	20	,	,	PUNCT
ijassa-1055	137	21	y	y	NOUN
ijassa-1055	137	22	)	)	PUNCT
ijassa-1055	137	23	}	}	PUNCT
ijassa-1055	137	24	.	.	PUNCT
ijassa-1055	138	1	applying	apply	VERB
ijassa-1055	138	2	the	the	DET
ijassa-1055	138	3	green	green	ADJ
ijassa-1055	138	4	formula	formula	NOUN
ijassa-1055	138	5	in	in	ADP
ijassa-1055	138	6	the	the	DET
ijassa-1055	138	7	domain	domain	NOUN
ijassa-1055	138	8	d(f	d(f	NOUN
ijassa-1055	138	9	,	,	PUNCT
ijassa-1055	138	10	h	h	NOUN
ijassa-1055	138	11	)	)	PUNCT
ijassa-1055	138	12	to	to	ADP
ijassa-1055	138	13	the	the	DET
ijassa-1055	138	14	function	function	NOUN
ijassa-1055	138	15	u(p	u(p	NOUN
ijassa-1055	138	16	)	)	PUNCT
ijassa-1055	138	17	,	,	PUNCT
ijassa-1055	138	18	i.e.	i.e.	X
ijassa-1055	138	19	,	,	PUNCT
ijassa-1055	138	20	a	a	DET
ijassa-1055	138	21	solution	solution	NOUN
ijassa-1055	138	22	of	of	ADP
ijassa-1055	138	23	problem	problem	NOUN
ijassa-1055	138	24	(	(	PUNCT
ijassa-1055	138	25	2.7	2.7	NUM
ijassa-1055	138	26	)	)	PUNCT
ijassa-1055	138	27	,	,	PUNCT
ijassa-1055	138	28	and	and	CCONJ
ijassa-1055	138	29	to	to	ADP
ijassa-1055	138	30	a	a	DET
ijassa-1055	138	31	function	function	NOUN
ijassa-1055	138	32	ϕ(m	ϕ(m	PROPN
ijassa-1055	138	33	,	,	PUNCT
ijassa-1055	138	34	p	p	NOUN
ijassa-1055	138	35	)	)	PUNCT
ijassa-1055	138	36	of	of	ADP
ijassa-1055	138	37	the	the	DET
ijassa-1055	138	38	form	form	NOUN
ijassa-1055	138	39	(	(	PUNCT
ijassa-1055	138	40	3.9	3.9	NUM
ijassa-1055	138	41	)	)	PUNCT
ijassa-1055	138	42	,	,	PUNCT
ijassa-1055	138	43	we	we	PRON
ijassa-1055	138	44	,	,	PUNCT
ijassa-1055	138	45	by	by	ADP
ijassa-1055	138	46	analogy	analogy	NOUN
ijassa-1055	138	47	with	with	ADP
ijassa-1055	138	48	(	(	PUNCT
ijassa-1055	138	49	3.11	3.11	NUM
ijassa-1055	138	50	)	)	PUNCT
ijassa-1055	138	51	,	,	PUNCT
ijassa-1055	138	52	(	(	PUNCT
ijassa-1055	138	53	3.12	3.12	NUM
ijassa-1055	138	54	)	)	PUNCT
ijassa-1055	138	55	,	,	PUNCT
ijassa-1055	138	56	and	and	CCONJ
ijassa-1055	138	57	(	(	PUNCT
ijassa-1055	138	58	3.13	3.13	NUM
ijassa-1055	138	59	)	)	PUNCT
ijassa-1055	138	60	,	,	PUNCT
ijassa-1055	138	61	obtain	obtain	VERB
ijassa-1055	138	62	the	the	DET
ijassa-1055	138	63	relation	relation	NOUN
ijassa-1055	138	64	0	0	NUM
ijassa-1055	139	1	=	=	SYM
ijassa-1055	139	2	∫	∫	PROPN
ijassa-1055	139	3	∂d(f	∂d(f	PROPN
ijassa-1055	139	4	,	,	PUNCT
ijassa-1055	139	5	h	h	NOUN
ijassa-1055	139	6	)	)	PUNCT
ijassa-1055	140	1	[	[	X
ijassa-1055	140	2	∂u	∂u	X
ijassa-1055	140	3	∂n	∂n	PROPN
ijassa-1055	140	4	(	(	PUNCT
ijassa-1055	140	5	p	p	NOUN
ijassa-1055	140	6	)	)	PUNCT
ijassa-1055	140	7	ϕ(m	ϕ(m	PROPN
ijassa-1055	140	8	,	,	PUNCT
ijassa-1055	140	9	p	p	NOUN
ijassa-1055	140	10	)	)	PUNCT
ijassa-1055	140	11	−	−	PROPN
ijassa-1055	140	12	u(p	u(p	NOUN
ijassa-1055	140	13	)	)	PUNCT
ijassa-1055	140	14	∂ϕ	∂ϕ	PROPN
ijassa-1055	140	15	∂np	∂np	PROPN
ijassa-1055	140	16	(	(	PUNCT
ijassa-1055	140	17	m	m	PROPN
ijassa-1055	140	18	,	,	PUNCT
ijassa-1055	140	19	p	p	NOUN
ijassa-1055	140	20	)	)	PUNCT
ijassa-1055	140	21	]	]	PUNCT
ijassa-1055	140	22	dσp	dσp	VERB
ijassa-1055	140	23	,	,	PUNCT
ijassa-1055	140	24	m	m	PROPN
ijassa-1055	140	25	∈	∈	PROPN
ijassa-1055	140	26	d(−∞	d(−∞	PROPN
ijassa-1055	140	27	,	,	PUNCT
ijassa-1055	140	28	f	f	PROPN
ijassa-1055	140	29	)	)	PUNCT
ijassa-1055	140	30	.	.	PUNCT
ijassa-1055	141	1	from	from	ADP
ijassa-1055	141	2	this	this	PRON
ijassa-1055	141	3	,	,	PUNCT
ijassa-1055	141	4	with	with	ADP
ijassa-1055	141	5	regard	regard	NOUN
ijassa-1055	141	6	to	to	ADP
ijassa-1055	141	7	the	the	DET
ijassa-1055	141	8	homogeneous	homogeneous	ADJ
ijassa-1055	141	9	boundary	boundary	ADJ
ijassa-1055	141	10	conditions	condition	NOUN
ijassa-1055	141	11	for	for	ADP
ijassa-1055	141	12	the	the	DET
ijassa-1055	141	13	function	function	NOUN
ijassa-1055	141	14	ϕ	ϕ	NOUN
ijassa-1055	141	15	and	and	CCONJ
ijassa-1055	141	16	to	to	ADP
ijassa-1055	141	17	the	the	DET
ijassa-1055	141	18	inhomogeneous	inhomogeneous	ADJ
ijassa-1055	141	19	boundary	boundary	ADJ
ijassa-1055	141	20	conditions	condition	NOUN
ijassa-1055	141	21	for	for	ADP
ijassa-1055	141	22	u	u	NOUN
ijassa-1055	141	23	and	and	CCONJ
ijassa-1055	141	24	notation	notation	NOUN
ijassa-1055	141	25	(	(	PUNCT
ijassa-1055	141	26	3.15	3.15	NUM
ijassa-1055	141	27	)	)	PUNCT
ijassa-1055	141	28	and	and	CCONJ
ijassa-1055	141	29	(	(	PUNCT
ijassa-1055	141	30	3.16	3.16	NUM
ijassa-1055	141	31	)	)	PUNCT
ijassa-1055	141	32	,	,	PUNCT
ijassa-1055	141	33	we	we	PRON
ijassa-1055	141	34	obtain	obtain	VERB
ijassa-1055	141	35	v(m	v(m	NOUN
ijassa-1055	141	36	)	)	PUNCT
ijassa-1055	141	37	=	=	SYM
ijassa-1055	141	38	−φ(m	−φ(m	X
ijassa-1055	141	39	)	)	PUNCT
ijassa-1055	141	40	,	,	PUNCT
ijassa-1055	141	41	m	m	PROPN
ijassa-1055	141	42	∈	∈	PROPN
ijassa-1055	141	43	d(−∞	d(−∞	PROPN
ijassa-1055	141	44	,	,	PUNCT
ijassa-1055	141	45	f	f	PROPN
ijassa-1055	141	46	)	)	PUNCT
ijassa-1055	141	47	.	.	PUNCT
ijassa-1055	142	1	(	(	PUNCT
ijassa-1055	142	2	3.26	3.26	NUM
ijassa-1055	142	3	)	)	PUNCT
ijassa-1055	142	4	let	let	VERB
ijassa-1055	142	5	a	a	DET
ijassa-1055	142	6	<	<	X
ijassa-1055	142	7	min	min	X
ijassa-1055	142	8	(	(	PUNCT
ijassa-1055	142	9	x	x	NOUN
ijassa-1055	142	10	,	,	PUNCT
ijassa-1055	142	11	y	y	PROPN
ijassa-1055	142	12	)	)	PUNCT
ijassa-1055	142	13	f	f	NOUN
ijassa-1055	142	14	(	(	PUNCT
ijassa-1055	142	15	x	x	NOUN
ijassa-1055	142	16	,	,	PUNCT
ijassa-1055	142	17	y	y	NOUN
ijassa-1055	142	18	)	)	PUNCT
ijassa-1055	142	19	andm	andm	PROPN
ijassa-1055	142	20	∈	∈	PROPN
ijassa-1055	142	21	π(a	π(a	PROPN
ijassa-1055	142	22	)	)	PUNCT
ijassa-1055	142	23	,	,	PUNCT
ijassa-1055	142	24	where	where	SCONJ
ijassa-1055	142	25	π(a	π(a	PROPN
ijassa-1055	142	26	)	)	PUNCT
ijassa-1055	142	27	is	be	AUX
ijassa-1055	142	28	a	a	DET
ijassa-1055	142	29	domain	domain	NOUN
ijassa-1055	142	30	of	of	ADP
ijassa-1055	142	31	the	the	DET
ijassa-1055	142	32	form	form	NOUN
ijassa-1055	142	33	(	(	PUNCT
ijassa-1055	142	34	3.14	3.14	NUM
ijassa-1055	142	35	)	)	PUNCT
ijassa-1055	142	36	for	for	ADP
ijassa-1055	142	37	z	z	NOUN
ijassa-1055	142	38	=	=	SYM
ijassa-1055	142	39	a.	a.	NOUN
ijassa-1055	142	40	then	then	ADV
ijassa-1055	142	41	,	,	PUNCT
ijassa-1055	142	42	by	by	ADP
ijassa-1055	142	43	formulas	formula	NOUN
ijassa-1055	142	44	(	(	PUNCT
ijassa-1055	142	45	3.26	3.26	NUM
ijassa-1055	142	46	)	)	PUNCT
ijassa-1055	142	47	and	and	CCONJ
ijassa-1055	142	48	(	(	PUNCT
ijassa-1055	142	49	3.20	3.20	NUM
ijassa-1055	142	50	)	)	PUNCT
ijassa-1055	142	51	,	,	PUNCT
ijassa-1055	142	52	we	we	PRON
ijassa-1055	142	53	obtain	obtain	VERB
ijassa-1055	142	54	the	the	DET
ijassa-1055	142	55	integral	integral	ADJ
ijassa-1055	142	56	equation	equation	NOUN
ijassa-1055	142	57	of	of	ADP
ijassa-1055	142	58	the	the	DET
ijassa-1055	142	59	first	first	ADJ
ijassa-1055	142	60	kind∫	kind∫	NOUN
ijassa-1055	142	61	π(h	π(h	NOUN
ijassa-1055	142	62	)	)	PUNCT
ijassa-1055	143	1	∂g	∂g	PROPN
ijassa-1055	143	2	∂np	∂np	PROPN
ijassa-1055	143	3	(	(	PUNCT
ijassa-1055	143	4	m	m	PROPN
ijassa-1055	143	5	,	,	PUNCT
ijassa-1055	143	6	p	p	NOUN
ijassa-1055	143	7	)	)	PUNCT
ijassa-1055	143	8	vh(p	vh(p	NOUN
ijassa-1055	143	9	)	)	PUNCT
ijassa-1055	143	10	dxpdyp	dxpdyp	NOUN
ijassa-1055	143	11	=	=	NOUN
ijassa-1055	143	12	φ(m	φ(m	NOUN
ijassa-1055	143	13	)	)	PUNCT
ijassa-1055	143	14	,	,	PUNCT
ijassa-1055	143	15	m	m	PROPN
ijassa-1055	143	16	∈	∈	ADJ
ijassa-1055	143	17	π(a	π(a	PROPN
ijassa-1055	143	18	)	)	PUNCT
ijassa-1055	143	19	.	.	PUNCT
ijassa-1055	144	1	(	(	PUNCT
ijassa-1055	144	2	3.27	3.27	NUM
ijassa-1055	144	3	)	)	PUNCT
ijassa-1055	144	4	from	from	ADP
ijassa-1055	144	5	the	the	DET
ijassa-1055	144	6	equation	equation	NOUN
ijassa-1055	144	7	(	(	PUNCT
ijassa-1055	144	8	3.27	3.27	NUM
ijassa-1055	144	9	)	)	PUNCT
ijassa-1055	144	10	taking	take	VERB
ijassa-1055	144	11	into	into	ADP
ijassa-1055	144	12	account	account	NOUN
ijassa-1055	144	13	the	the	DET
ijassa-1055	144	14	decomposition	decomposition	NOUN
ijassa-1055	144	15	(	(	PUNCT
ijassa-1055	144	16	3.21	3.21	NUM
ijassa-1055	144	17	)	)	PUNCT
ijassa-1055	144	18	for	for	ADP
ijassa-1055	144	19	zm	zm	PROPN
ijassa-1055	144	20	=	=	PROPN
ijassa-1055	145	1	a	a	PRON
ijassa-1055	145	2	we	we	PRON
ijassa-1055	145	3	obtain	obtain	VERB
ijassa-1055	145	4	the	the	DET
ijassa-1055	145	5	following	follow	VERB
ijassa-1055	145	6	relations	relation	NOUN
ijassa-1055	145	7	between	between	ADP
ijassa-1055	145	8	the	the	DET
ijassa-1055	145	9	fourier	fourier	ADJ
ijassa-1055	145	10	coefficients	coefficient	NOUN
ijassa-1055	145	11	of	of	ADP
ijassa-1055	145	12	the	the	DET
ijassa-1055	145	13	unique	unique	ADJ
ijassa-1055	145	14	solution	solution	NOUN
ijassa-1055	145	15	vh	vh	NOUN
ijassa-1055	145	16	of	of	ADP
ijassa-1055	145	17	this	this	DET
ijassa-1055	145	18	integral	integral	ADJ
ijassa-1055	145	19	equation	equation	NOUN
ijassa-1055	145	20	and	and	CCONJ
ijassa-1055	145	21	the	the	DET
ijassa-1055	145	22	fourier	fourier	ADJ
ijassa-1055	145	23	coefficients	coefficient	NOUN
ijassa-1055	145	24	of	of	ADP
ijassa-1055	145	25	its	its	PRON
ijassa-1055	145	26	right	right	ADJ
ijassa-1055	145	27	-	-	PUNCT
ijassa-1055	145	28	hand	hand	NOUN
ijassa-1055	145	29	side	side	NOUN
ijassa-1055	145	30	:	:	PUNCT
ijassa-1055	145	31	−	−	PROPN
ijassa-1055	145	32	(	(	PUNCT
ijassa-1055	145	33	ṽh)nm	ṽh)nm	PROPN
ijassa-1055	145	34	exp	exp	NOUN
ijassa-1055	145	35	{	{	PUNCT
ijassa-1055	145	36	−	−	PROPN
ijassa-1055	145	37	knm(h	knm(h	NOUN
ijassa-1055	145	38	−	−	PROPN
ijassa-1055	145	39	a	a	NOUN
ijassa-1055	145	40	)	)	PUNCT
ijassa-1055	145	41	}	}	PUNCT
ijassa-1055	145	42	=	=	SYM
ijassa-1055	145	43	φ̃nm(a	φ̃nm(a	PROPN
ijassa-1055	145	44	)	)	PUNCT
ijassa-1055	145	45	,	,	PUNCT
ijassa-1055	145	46	(	(	PUNCT
ijassa-1055	145	47	3.28	3.28	NUM
ijassa-1055	145	48	)	)	PUNCT
ijassa-1055	145	49	where	where	SCONJ
ijassa-1055	145	50	the	the	DET
ijassa-1055	145	51	φ̃nm(a	φ̃nm(a	NOUN
ijassa-1055	145	52	)	)	PUNCT
ijassa-1055	145	53	are	be	AUX
ijassa-1055	145	54	the	the	DET
ijassa-1055	145	55	fourier	fourier	ADJ
ijassa-1055	145	56	coefficients	coefficient	NOUN
ijassa-1055	145	57	of	of	ADP
ijassa-1055	145	58	the	the	DET
ijassa-1055	145	59	function	function	NOUN
ijassa-1055	145	60	φ(m)|m∈π(a	φ(m)|m∈π(a	NOUN
ijassa-1055	145	61	)	)	PUNCT
ijassa-1055	145	62	,	,	PUNCT
ijassa-1055	145	63	φ̃nm(a	φ̃nm(a	PROPN
ijassa-1055	145	64	)	)	PUNCT
ijassa-1055	145	65	=	=	SYM
ijassa-1055	145	66	4	4	NUM
ijassa-1055	145	67	lxly	lxly	ADJ
ijassa-1055	145	68	∫	∫	NOUN
ijassa-1055	145	69	π(a	π(a	PROPN
ijassa-1055	145	70	)	)	PUNCT
ijassa-1055	146	1	φ(x	φ(x	PROPN
ijassa-1055	146	2	,	,	PUNCT
ijassa-1055	146	3	y	y	PROPN
ijassa-1055	146	4	,	,	PUNCT
ijassa-1055	146	5	a	a	PRON
ijassa-1055	146	6	)	)	PUNCT
ijassa-1055	146	7	sin	sin	NOUN
ijassa-1055	146	8	πnx	πnx	NOUN
ijassa-1055	146	9	lx	lx	ADV
ijassa-1055	146	10	sin	sin	VERB
ijassa-1055	146	11	πmy	πmy	X
ijassa-1055	146	12	ly	ly	ADP
ijassa-1055	146	13	dxdy	dxdy	PROPN
ijassa-1055	146	14	.	.	PUNCT
ijassa-1055	147	1	(	(	PUNCT
ijassa-1055	147	2	3.29	3.29	NUM
ijassa-1055	147	3	)	)	PUNCT
ijassa-1055	147	4	note	note	NOUN
ijassa-1055	147	5	that	that	SCONJ
ijassa-1055	147	6	formula	formula	NOUN
ijassa-1055	147	7	(	(	PUNCT
ijassa-1055	147	8	3.28	3.28	NUM
ijassa-1055	147	9	)	)	PUNCT
ijassa-1055	147	10	characterizes	characterize	VERB
ijassa-1055	147	11	the	the	DET
ijassa-1055	147	12	decrease	decrease	NOUN
ijassa-1055	147	13	in	in	ADP
ijassa-1055	147	14	the	the	DET
ijassa-1055	147	15	fourier	fourier	NOUN
ijassa-1055	147	16	coefficients	coefficient	NOUN
ijassa-1055	147	17	φ̃nm(a	φ̃nm(a	NOUN
ijassa-1055	147	18	)	)	PUNCT
ijassa-1055	147	19	with	with	ADP
ijassa-1055	147	20	increasing	increase	VERB
ijassa-1055	147	21	n	n	PROPN
ijassa-1055	147	22	and	and	CCONJ
ijassa-1055	147	23	m	m	VERB
ijassa-1055	147	24	if	if	SCONJ
ijassa-1055	147	25	,	,	PUNCT
ijassa-1055	147	26	for	for	ADP
ijassa-1055	147	27	the	the	DET
ijassa-1055	147	28	functions	function	NOUN
ijassa-1055	147	29	f	f	PROPN
ijassa-1055	147	30	and	and	CCONJ
ijassa-1055	147	31	f1	f1	NOUN
ijassa-1055	147	32	,	,	PUNCT
ijassa-1055	147	33	there	there	PRON
ijassa-1055	147	34	exists	exist	VERB
ijassa-1055	147	35	a	a	DET
ijassa-1055	147	36	solution	solution	NOUN
ijassa-1055	147	37	of	of	ADP
ijassa-1055	147	38	problem	problem	NOUN
ijassa-1055	147	39	(	(	PUNCT
ijassa-1055	147	40	2.7	2.7	NUM
ijassa-1055	147	41	)	)	PUNCT
ijassa-1055	147	42	and	and	CCONJ
ijassa-1055	147	43	hence	hence	ADV
ijassa-1055	147	44	a	a	DET
ijassa-1055	147	45	function	function	NOUN
ijassa-1055	147	46	vh	vh	NOUN
ijassa-1055	147	47	defined	define	VERB
ijassa-1055	147	48	by	by	ADP
ijassa-1055	147	49	(	(	PUNCT
ijassa-1055	147	50	3.18	3.18	NUM
ijassa-1055	147	51	)	)	PUNCT
ijassa-1055	147	52	.	.	PUNCT
ijassa-1055	148	1	we	we	PRON
ijassa-1055	148	2	express	express	VERB
ijassa-1055	148	3	the	the	DET
ijassa-1055	148	4	fourier	fourier	ADJ
ijassa-1055	148	5	coefficients	coefficient	NOUN
ijassa-1055	148	6	(	(	PUNCT
ijassa-1055	148	7	ṽh)nm	ṽh)nm	ADJ
ijassa-1055	148	8	,	,	PUNCT
ijassa-1055	148	9	substitute	substitute	VERB
ijassa-1055	148	10	them	they	PRON
ijassa-1055	148	11	into	into	ADP
ijassa-1055	148	12	the	the	DET
ijassa-1055	148	13	series	series	NOUN
ijassa-1055	148	14	(	(	PUNCT
ijassa-1055	148	15	3.23	3.23	NUM
ijassa-1055	148	16	)	)	PUNCT
ijassa-1055	148	17	,	,	PUNCT
ijassa-1055	148	18	and	and	CCONJ
ijassa-1055	148	19	obtain	obtain	VERB
ijassa-1055	148	20	the	the	DET
ijassa-1055	148	21	function	function	NOUN
ijassa-1055	148	22	v	v	NOUN
ijassa-1055	148	23	in	in	ADP
ijassa-1055	148	24	the	the	DET
ijassa-1055	148	25	domain	domain	NOUN
ijassa-1055	148	26	d(−∞	d(−∞	NOUN
ijassa-1055	148	27	,	,	PUNCT
ijassa-1055	148	28	h	h	NOUN
ijassa-1055	148	29	)	)	PUNCT
ijassa-1055	148	30	:	:	PUNCT
ijassa-1055	149	1	v(m	v(m	NOUN
ijassa-1055	149	2	)	)	PUNCT
ijassa-1055	149	3	=	=	SYM
ijassa-1055	150	1	−	−	PROPN
ijassa-1055	150	2	∞∑	∞∑	NUM
ijassa-1055	150	3	n	n	NOUN
ijassa-1055	150	4	,	,	PUNCT
ijassa-1055	150	5	m=1	m=1	PROPN
ijassa-1055	150	6	φ̃nm(a	φ̃nm(a	PROPN
ijassa-1055	150	7	)	)	PUNCT
ijassa-1055	150	8	exp	exp	NOUN
ijassa-1055	150	9	{	{	PUNCT
ijassa-1055	150	10	knm(z	knm(z	PROPN
ijassa-1055	150	11	−	−	PROPN
ijassa-1055	150	12	a	a	NOUN
ijassa-1055	150	13	)	)	PUNCT
ijassa-1055	150	14	}	}	PUNCT
ijassa-1055	150	15	sin	sin	NOUN
ijassa-1055	150	16	πnx	πnx	NOUN
ijassa-1055	150	17	lx	lx	AUX
ijassa-1055	150	18	sin	sin	VERB
ijassa-1055	150	19	πmy	πmy	X
ijassa-1055	150	20	ly	ly	X
ijassa-1055	150	21	,	,	PUNCT
ijassa-1055	150	22	m(x	m(x	PROPN
ijassa-1055	150	23	,	,	PUNCT
ijassa-1055	150	24	y	y	PROPN
ijassa-1055	150	25	,	,	PUNCT
ijassa-1055	150	26	z	z	NOUN
ijassa-1055	150	27	)	)	PUNCT
ijassa-1055	150	28	∈	∈	PROPN
ijassa-1055	150	29	d(−∞	d(−∞	PROPN
ijassa-1055	150	30	,	,	PUNCT
ijassa-1055	150	31	h	h	NOUN
ijassa-1055	150	32	)	)	PUNCT
ijassa-1055	150	33	.	.	PUNCT
ijassa-1055	151	1	(	(	PUNCT
ijassa-1055	151	2	3.30	3.30	NUM
ijassa-1055	151	3	)	)	PUNCT
ijassa-1055	151	4	the	the	DET
ijassa-1055	151	5	series	series	NOUN
ijassa-1055	151	6	(	(	PUNCT
ijassa-1055	151	7	3.30	3.30	NUM
ijassa-1055	151	8	)	)	PUNCT
ijassa-1055	151	9	,	,	PUNCT
ijassa-1055	151	10	just	just	ADV
ijassa-1055	151	11	as	as	SCONJ
ijassa-1055	151	12	the	the	DET
ijassa-1055	151	13	series	series	NOUN
ijassa-1055	151	14	(	(	PUNCT
ijassa-1055	151	15	3.23	3.23	NUM
ijassa-1055	151	16	)	)	PUNCT
ijassa-1055	151	17	,	,	PUNCT
ijassa-1055	151	18	uniformly	uniformly	ADV
ijassa-1055	151	19	converges	converge	VERB
ijassa-1055	151	20	in	in	ADP
ijassa-1055	151	21	the	the	DET
ijassa-1055	151	22	domaind(−∞	domaind(−∞	PROPN
ijassa-1055	151	23	,	,	PUNCT
ijassa-1055	151	24	h	h	NOUN
ijassa-1055	151	25	−	−	PROPN
ijassa-1055	151	26	ε	ε	PROPN
ijassa-1055	151	27	)	)	PUNCT
ijassa-1055	151	28	for	for	ADP
ijassa-1055	151	29	any	any	DET
ijassa-1055	151	30	ε	ε	PROPN
ijassa-1055	151	31	>	>	X
ijassa-1055	151	32	0	0	PUNCT
ijassa-1055	152	1	if	if	SCONJ
ijassa-1055	152	2	there	there	PRON
ijassa-1055	152	3	exists	exist	VERB
ijassa-1055	152	4	a	a	DET
ijassa-1055	152	5	solution	solution	NOUN
ijassa-1055	152	6	of	of	ADP
ijassa-1055	152	7	problem	problem	NOUN
ijassa-1055	152	8	(	(	PUNCT
ijassa-1055	152	9	2.7	2.7	NUM
ijassa-1055	152	10	)	)	PUNCT
ijassa-1055	152	11	for	for	ADP
ijassa-1055	152	12	the	the	DET
ijassa-1055	152	13	given	give	VERB
ijassa-1055	152	14	functions	function	NOUN
ijassa-1055	152	15	f	f	PROPN
ijassa-1055	152	16	and	and	CCONJ
ijassa-1055	152	17	f1	f1	PROPN
ijassa-1055	152	18	.	.	PUNCT
ijassa-1055	153	1	formula	formula	NOUN
ijassa-1055	153	2	(	(	PUNCT
ijassa-1055	153	3	3.17	3.17	NUM
ijassa-1055	153	4	)	)	PUNCT
ijassa-1055	153	5	,	,	PUNCT
ijassa-1055	153	6	where	where	SCONJ
ijassa-1055	153	7	the	the	DET
ijassa-1055	153	8	functions	function	NOUN
ijassa-1055	153	9	v	v	VERB
ijassa-1055	153	10	and	and	CCONJ
ijassa-1055	153	11	φ	φ	PROPN
ijassa-1055	153	12	are	be	AUX
ijassa-1055	153	13	given	give	VERB
ijassa-1055	153	14	by	by	ADP
ijassa-1055	153	15	(	(	PUNCT
ijassa-1055	153	16	3.30	3.30	NUM
ijassa-1055	153	17	)	)	PUNCT
ijassa-1055	153	18	and	and	CCONJ
ijassa-1055	153	19	(	(	PUNCT
ijassa-1055	153	20	3.15	3.15	NUM
ijassa-1055	153	21	)	)	PUNCT
ijassa-1055	153	22	,	,	PUNCT
ijassa-1055	153	23	respectively	respectively	ADV
ijassa-1055	153	24	,	,	PUNCT
ijassa-1055	153	25	gives	give	VERB
ijassa-1055	153	26	an	an	DET
ijassa-1055	153	27	explicit	explicit	ADJ
ijassa-1055	153	28	expression	expression	NOUN
ijassa-1055	153	29	for	for	ADP
ijassa-1055	153	30	the	the	DET
ijassa-1055	153	31	solution	solution	NOUN
ijassa-1055	153	32	of	of	ADP
ijassa-1055	153	33	problem	problem	NOUN
ijassa-1055	153	34	(	(	PUNCT
ijassa-1055	153	35	2.7	2.7	NUM
ijassa-1055	153	36	)	)	PUNCT
ijassa-1055	153	37	.	.	PUNCT
ijassa-1055	154	1	copyright	copyright	NOUN
ijassa-1055	154	2	c	c	ADP
ijassa-1055	154	3	©	©	PROPN
ijassa-1055	154	4	2021	2021	NUM
ijassa-1055	154	5	assa	assa	NOUN
ijassa-1055	154	6	.	.	PUNCT
ijassa-1055	155	1	adv	adv	PROPN
ijassa-1055	155	2	syst	syst	PROPN
ijassa-1055	155	3	sci	sci	PROPN
ijassa-1055	155	4	appl	appl	PROPN
ijassa-1055	155	5	(	(	PUNCT
ijassa-1055	155	6	2021	2021	NUM
ijassa-1055	155	7	)	)	PUNCT
ijassa-1055	155	8	application	application	NOUN
ijassa-1055	155	9	of	of	ADP
ijassa-1055	155	10	the	the	DET
ijassa-1055	155	11	minimum	minimum	ADJ
ijassa-1055	155	12	principle	principle	NOUN
ijassa-1055	155	13	...	...	PUNCT
ijassa-1055	155	14	145	145	NUM
ijassa-1055	155	15	4	4	NUM
ijassa-1055	155	16	.	.	NOUN
ijassa-1055	155	17	approximate	approximate	ADJ
ijassa-1055	155	18	solution	solution	NOUN
ijassa-1055	155	19	of	of	ADP
ijassa-1055	155	20	the	the	DET
ijassa-1055	155	21	problem	problem	NOUN
ijassa-1055	155	22	let	let	VERB
ijassa-1055	155	23	the	the	DET
ijassa-1055	155	24	functions	function	NOUN
ijassa-1055	155	25	f	f	PROPN
ijassa-1055	155	26	and	and	CCONJ
ijassa-1055	155	27	f1	f1	PROPN
ijassa-1055	155	28	in	in	ADP
ijassa-1055	155	29	problem	problem	NOUN
ijassa-1055	155	30	(	(	PUNCT
ijassa-1055	155	31	2.7	2.7	NUM
ijassa-1055	155	32	)	)	PUNCT
ijassa-1055	155	33	be	be	AUX
ijassa-1055	155	34	given	give	VERB
ijassa-1055	155	35	with	with	ADP
ijassa-1055	155	36	an	an	DET
ijassa-1055	155	37	error	error	NOUN
ijassa-1055	155	38	;	;	PUNCT
ijassa-1055	155	39	i.e.	i.e.	X
ijassa-1055	155	40	,	,	PUNCT
ijassa-1055	155	41	let	let	VERB
ijassa-1055	155	42	,	,	PUNCT
ijassa-1055	155	43	instead	instead	ADV
ijassa-1055	155	44	of	of	ADP
ijassa-1055	155	45	them	they	PRON
ijassa-1055	155	46	,	,	PUNCT
ijassa-1055	155	47	functions	function	VERB
ijassa-1055	155	48	f	f	PROPN
ijassa-1055	155	49	δ	δ	PROPN
ijassa-1055	155	50	and	and	CCONJ
ijassa-1055	155	51	f	f	PROPN
ijassa-1055	155	52	δ1	δ1	NOUN
ijassa-1055	155	53	be	be	AUX
ijassa-1055	155	54	given	give	VERB
ijassa-1055	155	55	such	such	ADJ
ijassa-1055	155	56	that	that	SCONJ
ijassa-1055	155	57	‖f	‖f	ADP
ijassa-1055	155	58	δ	δ	PROPN
ijassa-1055	155	59	−	−	PROPN
ijassa-1055	155	60	f‖l2(s	f‖l2(s	NOUN
ijassa-1055	155	61	)	)	PUNCT
ijassa-1055	155	62	6	6	NUM
ijassa-1055	155	63	δ	δ	PROPN
ijassa-1055	155	64	,	,	PUNCT
ijassa-1055	155	65	‖f	‖f	ADJ
ijassa-1055	155	66	δ1	δ1	NOUN
ijassa-1055	155	67	−	−	PROPN
ijassa-1055	155	68	f1‖l2(γh	f1‖l2(γh	NOUN
ijassa-1055	155	69	)	)	PUNCT
ijassa-1055	155	70	6	6	NUM
ijassa-1055	155	71	δ	δ	NOUN
ijassa-1055	155	72	.	.	PUNCT
ijassa-1055	156	1	we	we	PRON
ijassa-1055	156	2	construct	construct	VERB
ijassa-1055	156	3	an	an	DET
ijassa-1055	156	4	approximate	approximate	ADJ
ijassa-1055	156	5	solution	solution	NOUN
ijassa-1055	156	6	of	of	ADP
ijassa-1055	156	7	problem	problem	NOUN
ijassa-1055	156	8	(	(	PUNCT
ijassa-1055	156	9	2.7	2.7	NUM
ijassa-1055	156	10	)	)	PUNCT
ijassa-1055	156	11	converging	converge	VERB
ijassa-1055	156	12	to	to	ADP
ijassa-1055	156	13	the	the	DET
ijassa-1055	156	14	exact	exact	ADJ
ijassa-1055	156	15	solution	solution	NOUN
ijassa-1055	156	16	as	as	ADP
ijassa-1055	156	17	δ	δ	PROPN
ijassa-1055	156	18	→	→	SYM
ijassa-1055	156	19	0	0	X
ijassa-1055	156	20	.	.	PUNCT
ijassa-1055	157	1	here	here	ADV
ijassa-1055	157	2	the	the	DET
ijassa-1055	157	3	function	function	NOUN
ijassa-1055	157	4	φ	φ	PROPN
ijassa-1055	157	5	defined	define	VERB
ijassa-1055	157	6	by	by	ADP
ijassa-1055	157	7	formula	formula	NOUN
ijassa-1055	157	8	(	(	PUNCT
ijassa-1055	157	9	3.15	3.15	NUM
ijassa-1055	157	10	)	)	PUNCT
ijassa-1055	157	11	can	can	AUX
ijassa-1055	157	12	be	be	AUX
ijassa-1055	157	13	obtained	obtain	VERB
ijassa-1055	157	14	approximately	approximately	ADV
ijassa-1055	157	15	as	as	ADP
ijassa-1055	157	16	φδ(m	φδ(m	ADJ
ijassa-1055	157	17	)	)	PUNCT
ijassa-1055	158	1	=	=	SYM
ijassa-1055	158	2	∫	∫	PROPN
ijassa-1055	158	3	s	s	PART
ijassa-1055	158	4	[	[	PUNCT
ijassa-1055	158	5	h(u0	h(u0	NOUN
ijassa-1055	158	6	−	−	PROPN
ijassa-1055	158	7	f	f	PROPN
ijassa-1055	158	8	δ(p	δ(p	PROPN
ijassa-1055	158	9	)	)	PUNCT
ijassa-1055	158	10	)	)	PUNCT
ijassa-1055	159	1	ϕ(m	ϕ(m	PROPN
ijassa-1055	159	2	,	,	PUNCT
ijassa-1055	159	3	p	p	NOUN
ijassa-1055	159	4	)	)	PUNCT
ijassa-1055	159	5	−	−	PROPN
ijassa-1055	159	6	f	f	PROPN
ijassa-1055	159	7	δ(p	δ(p	PROPN
ijassa-1055	159	8	)	)	PUNCT
ijassa-1055	160	1	∂ϕ	∂ϕ	PROPN
ijassa-1055	160	2	∂np	∂np	PROPN
ijassa-1055	160	3	(	(	PUNCT
ijassa-1055	160	4	m	m	PROPN
ijassa-1055	160	5	,	,	PUNCT
ijassa-1055	160	6	p	p	NOUN
ijassa-1055	160	7	)	)	PUNCT
ijassa-1055	160	8	]	]	PUNCT
ijassa-1055	161	1	dσp−	dσp−	PROPN
ijassa-1055	161	2	−	−	PROPN
ijassa-1055	161	3	∫	∫	PROPN
ijassa-1055	161	4	γh	γh	X
ijassa-1055	161	5	[	[	PUNCT
ijassa-1055	161	6	f	f	PROPN
ijassa-1055	161	7	δ1	δ1	NOUN
ijassa-1055	161	8	(	(	PUNCT
ijassa-1055	161	9	p	p	NOUN
ijassa-1055	161	10	)	)	PUNCT
ijassa-1055	161	11	∂ϕ	∂ϕ	PROPN
ijassa-1055	161	12	∂np	∂np	PROPN
ijassa-1055	161	13	(	(	PUNCT
ijassa-1055	161	14	m	m	PROPN
ijassa-1055	161	15	,	,	PUNCT
ijassa-1055	161	16	p	p	NOUN
ijassa-1055	161	17	)	)	PUNCT
ijassa-1055	161	18	]	]	PUNCT
ijassa-1055	161	19	dσp	dσp	VERB
ijassa-1055	161	20	.	.	PUNCT
ijassa-1055	162	1	(	(	PUNCT
ijassa-1055	162	2	4.31	4.31	NUM
ijassa-1055	162	3	)	)	PUNCT
ijassa-1055	162	4	we	we	PRON
ijassa-1055	162	5	apply	apply	VERB
ijassa-1055	162	6	the	the	DET
ijassa-1055	162	7	cauchy	cauchy	PROPN
ijassa-1055	162	8	-	-	PUNCT
ijassa-1055	162	9	schwarz	schwarz	PROPN
ijassa-1055	162	10	inequality	inequality	NOUN
ijassa-1055	162	11	to	to	ADP
ijassa-1055	162	12	the	the	DET
ijassa-1055	162	13	difference	difference	NOUN
ijassa-1055	162	14	of	of	ADP
ijassa-1055	162	15	functions	function	NOUN
ijassa-1055	162	16	(	(	PUNCT
ijassa-1055	162	17	4.31	4.31	NUM
ijassa-1055	162	18	)	)	PUNCT
ijassa-1055	162	19	and	and	CCONJ
ijassa-1055	162	20	(	(	PUNCT
ijassa-1055	162	21	3.15	3.15	NUM
ijassa-1055	162	22	)	)	PUNCT
ijassa-1055	162	23	for	for	ADP
ijassa-1055	162	24	m	m	PROPN
ijassa-1055	162	25	∈	∈	PROPN
ijassa-1055	162	26	π(a	π(a	PROPN
ijassa-1055	162	27	)	)	PUNCT
ijassa-1055	162	28	,	,	PUNCT
ijassa-1055	162	29	a	a	DET
ijassa-1055	162	30	<	<	X
ijassa-1055	162	31	min	min	NOUN
ijassa-1055	162	32	(	(	PUNCT
ijassa-1055	162	33	x	x	NOUN
ijassa-1055	162	34	,	,	PUNCT
ijassa-1055	162	35	y	y	PROPN
ijassa-1055	162	36	)	)	PUNCT
ijassa-1055	162	37	f	f	NOUN
ijassa-1055	162	38	(	(	PUNCT
ijassa-1055	162	39	x	x	X
ijassa-1055	162	40	,	,	PUNCT
ijassa-1055	162	41	y	y	PROPN
ijassa-1055	162	42	)	)	PUNCT
ijassa-1055	162	43	,	,	PUNCT
ijassa-1055	162	44	and	and	CCONJ
ijassa-1055	162	45	obtain	obtain	VERB
ijassa-1055	162	46	an	an	DET
ijassa-1055	162	47	estimate	estimate	NOUN
ijassa-1055	162	48	of	of	ADP
ijassa-1055	162	49	the	the	DET
ijassa-1055	162	50	right	right	ADJ
ijassa-1055	162	51	-	-	PUNCT
ijassa-1055	162	52	hand	hand	NOUN
ijassa-1055	162	53	side	side	NOUN
ijassa-1055	162	54	of	of	ADP
ijassa-1055	162	55	integral	integral	ADJ
ijassa-1055	162	56	equation	equation	NOUN
ijassa-1055	162	57	(	(	PUNCT
ijassa-1055	162	58	3.27	3.27	NUM
ijassa-1055	162	59	)	)	PUNCT
ijassa-1055	162	60	,	,	PUNCT
ijassa-1055	162	61	|φδ(m)−	|φδ(m)−	NOUN
ijassa-1055	162	62	φ(m)|	φ(m)|	NOUN
ijassa-1055	162	63	6	6	NUM
ijassa-1055	162	64	h	h	NOUN
ijassa-1055	162	65	max	max	PROPN
ijassa-1055	162	66	m∈π(a	m∈π(a	PROPN
ijassa-1055	162	67	)	)	PUNCT
ijassa-1055	162	68	(	(	PUNCT
ijassa-1055	162	69	∫	∫	PROPN
ijassa-1055	162	70	s	s	PART
ijassa-1055	162	71	ϕ2(m	ϕ2(m	PROPN
ijassa-1055	162	72	,	,	PUNCT
ijassa-1055	162	73	p	p	NOUN
ijassa-1055	162	74	)	)	PUNCT
ijassa-1055	162	75	dσp	dσp	NOUN
ijassa-1055	162	76	)	)	PUNCT
ijassa-1055	162	77	1/2‖f	1/2‖f	NUM
ijassa-1055	162	78	δ	δ	NOUN
ijassa-1055	162	79	−	−	PROPN
ijassa-1055	162	80	f‖l2(s)+	f‖l2(s)+	ADV
ijassa-1055	162	81	+	+	NUM
ijassa-1055	162	82	max	max	PROPN
ijassa-1055	162	83	m∈π(a	m∈π(a	PROPN
ijassa-1055	162	84	)	)	PUNCT
ijassa-1055	162	85	(	(	PUNCT
ijassa-1055	162	86	∫	∫	PROPN
ijassa-1055	162	87	s	s	PART
ijassa-1055	162	88	[	[	PUNCT
ijassa-1055	162	89	∂ϕ	∂ϕ	PROPN
ijassa-1055	162	90	∂np	∂np	PROPN
ijassa-1055	162	91	(	(	PUNCT
ijassa-1055	162	92	m	m	PROPN
ijassa-1055	162	93	,	,	PUNCT
ijassa-1055	162	94	p	p	NOUN
ijassa-1055	162	95	)	)	PUNCT
ijassa-1055	162	96	]	]	SYM
ijassa-1055	162	97	2	2	NUM
ijassa-1055	162	98	dσp	dσp	NOUN
ijassa-1055	162	99	)	)	PUNCT
ijassa-1055	163	1	1/2‖f	1/2‖f	NUM
ijassa-1055	163	2	δ	δ	NOUN
ijassa-1055	163	3	−	−	PROPN
ijassa-1055	163	4	f‖l2(s)+	f‖l2(s)+	ADV
ijassa-1055	163	5	+	+	NUM
ijassa-1055	163	6	max	max	PROPN
ijassa-1055	163	7	m∈π(a	m∈π(a	PROPN
ijassa-1055	163	8	)	)	PUNCT
ijassa-1055	163	9	(	(	PUNCT
ijassa-1055	163	10	∫	∫	PROPN
ijassa-1055	163	11	γh	γh	X
ijassa-1055	164	1	[	[	PUNCT
ijassa-1055	164	2	∂ϕ	∂ϕ	PROPN
ijassa-1055	164	3	∂np	∂np	PROPN
ijassa-1055	164	4	(	(	PUNCT
ijassa-1055	164	5	m	m	PROPN
ijassa-1055	164	6	,	,	PUNCT
ijassa-1055	164	7	p	p	NOUN
ijassa-1055	164	8	)	)	PUNCT
ijassa-1055	164	9	]	]	SYM
ijassa-1055	164	10	2	2	NUM
ijassa-1055	164	11	dσp	dσp	NOUN
ijassa-1055	164	12	)	)	PUNCT
ijassa-1055	164	13	1/2‖f	1/2‖f	NUM
ijassa-1055	164	14	δ1	δ1	NOUN
ijassa-1055	164	15	−	−	PROPN
ijassa-1055	164	16	f1‖l2(γh	f1‖l2(γh	NOUN
ijassa-1055	164	17	)	)	PUNCT
ijassa-1055	164	18	6	6	NUM
ijassa-1055	164	19	cδ	cδ	NOUN
ijassa-1055	164	20	.	.	PUNCT
ijassa-1055	165	1	(	(	PUNCT
ijassa-1055	165	2	4.32	4.32	NUM
ijassa-1055	165	3	)	)	PUNCT
ijassa-1055	165	4	for	for	ADP
ijassa-1055	165	5	an	an	DET
ijassa-1055	165	6	approximate	approximate	ADJ
ijassa-1055	165	7	solution	solution	NOUN
ijassa-1055	165	8	of	of	ADP
ijassa-1055	165	9	eq	eq	PROPN
ijassa-1055	165	10	.	.	PUNCT
ijassa-1055	166	1	(	(	PUNCT
ijassa-1055	166	2	3.27	3.27	NUM
ijassa-1055	166	3	)	)	PUNCT
ijassa-1055	166	4	,	,	PUNCT
ijassa-1055	166	5	we	we	PRON
ijassa-1055	166	6	take	take	VERB
ijassa-1055	166	7	the	the	DET
ijassa-1055	166	8	extremal	extremal	NOUN
ijassa-1055	166	9	of	of	ADP
ijassa-1055	166	10	the	the	DET
ijassa-1055	166	11	tikhonov	tikhonov	NOUN
ijassa-1055	166	12	functional	functional	ADJ
ijassa-1055	167	1	[	[	X
ijassa-1055	167	2	3	3	NUM
ijassa-1055	167	3	,	,	PUNCT
ijassa-1055	167	4	p.	p.	NOUN
ijassa-1055	167	5	68	68	NUM
ijassa-1055	167	6	]	]	PUNCT
ijassa-1055	167	7	with	with	ADP
ijassa-1055	167	8	zero	zero	NUM
ijassa-1055	167	9	-	-	PUNCT
ijassa-1055	167	10	order	order	NOUN
ijassa-1055	167	11	stabilizer	stabilizer	NOUN
ijassa-1055	167	12	,	,	PUNCT
ijassa-1055	167	13	mα[w	mα[w	PROPN
ijassa-1055	167	14	]	]	X
ijassa-1055	167	15	=	=	SYM
ijassa-1055	167	16	∥∥∫	∥∥∫	NOUN
ijassa-1055	167	17	s	s	VERB
ijassa-1055	167	18	∂g	∂g	PROPN
ijassa-1055	167	19	∂n	∂n	PROPN
ijassa-1055	167	20	wdσ	wdσ	VERB
ijassa-1055	167	21	−	−	PROPN
ijassa-1055	167	22	φδ	φδ	ADP
ijassa-1055	167	23	∥∥2	∥∥2	PROPN
ijassa-1055	167	24	l2(π(a	l2(π(a	PROPN
ijassa-1055	167	25	)	)	PUNCT
ijassa-1055	167	26	)	)	PUNCT
ijassa-1055	168	1	+	+	CCONJ
ijassa-1055	168	2	α‖w‖2	α‖w‖2	PROPN
ijassa-1055	168	3	l2(π(h	l2(π(h	NUM
ijassa-1055	168	4	)	)	PUNCT
ijassa-1055	168	5	)	)	PUNCT
ijassa-1055	168	6	,	,	PUNCT
ijassa-1055	168	7	α	α	X
ijassa-1055	168	8	>	>	X
ijassa-1055	168	9	0	0	NUM
ijassa-1055	168	10	,	,	PUNCT
ijassa-1055	168	11	(	(	PUNCT
ijassa-1055	168	12	4.33	4.33	NUM
ijassa-1055	168	13	)	)	PUNCT
ijassa-1055	168	14	where	where	SCONJ
ijassa-1055	168	15	π(a	π(a	PROPN
ijassa-1055	168	16	)	)	PUNCT
ijassa-1055	168	17	and	and	CCONJ
ijassa-1055	168	18	π(h	π(h	PROPN
ijassa-1055	168	19	)	)	PUNCT
ijassa-1055	168	20	are	be	AUX
ijassa-1055	168	21	domains	domain	NOUN
ijassa-1055	168	22	defined	define	VERB
ijassa-1055	168	23	by	by	ADP
ijassa-1055	168	24	formula	formula	NOUN
ijassa-1055	168	25	(	(	PUNCT
ijassa-1055	168	26	3.14	3.14	NUM
ijassa-1055	168	27	)	)	PUNCT
ijassa-1055	168	28	.	.	PUNCT
ijassa-1055	169	1	the	the	DET
ijassa-1055	169	2	extremal	extremal	NOUN
ijassa-1055	169	3	can	can	AUX
ijassa-1055	169	4	be	be	AUX
ijassa-1055	169	5	obtained	obtain	VERB
ijassa-1055	169	6	as	as	ADP
ijassa-1055	169	7	a	a	DET
ijassa-1055	169	8	solution	solution	NOUN
ijassa-1055	169	9	of	of	ADP
ijassa-1055	169	10	the	the	DET
ijassa-1055	169	11	euler	euler	NOUN
ijassa-1055	169	12	equation	equation	NOUN
ijassa-1055	169	13	for	for	ADP
ijassa-1055	169	14	the	the	DET
ijassa-1055	169	15	functional	functional	ADJ
ijassa-1055	169	16	(	(	PUNCT
ijassa-1055	169	17	4.33	4.33	NUM
ijassa-1055	169	18	)	)	PUNCT
ijassa-1055	169	19	which	which	PRON
ijassa-1055	169	20	,	,	PUNCT
ijassa-1055	169	21	in	in	ADP
ijassa-1055	169	22	the	the	DET
ijassa-1055	169	23	fourier	fourier	ADJ
ijassa-1055	169	24	coefficients	coefficient	NOUN
ijassa-1055	169	25	of	of	ADP
ijassa-1055	169	26	the	the	DET
ijassa-1055	169	27	function	function	NOUN
ijassa-1055	169	28	w	w	PROPN
ijassa-1055	169	29	,	,	PUNCT
ijassa-1055	169	30	has	have	VERB
ijassa-1055	169	31	the	the	DET
ijassa-1055	169	32	form	form	NOUN
ijassa-1055	169	33	exp	exp	NOUN
ijassa-1055	169	34	{	{	PUNCT
ijassa-1055	169	35	−2knm(h	−2knm(h	NOUN
ijassa-1055	169	36	−	−	PROPN
ijassa-1055	169	37	a	a	NOUN
ijassa-1055	169	38	)	)	PUNCT
ijassa-1055	169	39	}	}	PUNCT
ijassa-1055	169	40	w̃nm	w̃nm	ADP
ijassa-1055	169	41	+	+	ADJ
ijassa-1055	169	42	αw̃nm	αw̃nm	ADJ
ijassa-1055	169	43	=	=	SYM
ijassa-1055	169	44	−	−	PROPN
ijassa-1055	169	45	exp	exp	NOUN
ijassa-1055	169	46	{	{	PUNCT
ijassa-1055	169	47	−knm(h	−knm(h	PROPN
ijassa-1055	169	48	−	−	PROPN
ijassa-1055	169	49	a	a	NOUN
ijassa-1055	169	50	)	)	PUNCT
ijassa-1055	169	51	}	}	PUNCT
ijassa-1055	169	52	φ̃δ	φ̃δ	PRON
ijassa-1055	169	53	nm(a	nm(a	NOUN
ijassa-1055	169	54	)	)	PUNCT
ijassa-1055	169	55	,	,	PUNCT
ijassa-1055	169	56	where	where	SCONJ
ijassa-1055	169	57	φ̃δ	φ̃δ	DET
ijassa-1055	169	58	nm(a	nm(a	NOUN
ijassa-1055	169	59	)	)	PUNCT
ijassa-1055	169	60	=	=	SYM
ijassa-1055	169	61	4	4	NUM
ijassa-1055	169	62	lxly	lxly	ADJ
ijassa-1055	169	63	∫	∫	NOUN
ijassa-1055	169	64	π(a	π(a	PROPN
ijassa-1055	169	65	)	)	PUNCT
ijassa-1055	169	66	φδ(x	φδ(x	NUM
ijassa-1055	169	67	,	,	PUNCT
ijassa-1055	169	68	y	y	PROPN
ijassa-1055	169	69	,	,	PUNCT
ijassa-1055	169	70	a	a	DET
ijassa-1055	169	71	)	)	PUNCT
ijassa-1055	169	72	sin	sin	NOUN
ijassa-1055	169	73	πnx	πnx	NOUN
ijassa-1055	169	74	lx	lx	ADV
ijassa-1055	169	75	sin	sin	VERB
ijassa-1055	169	76	πmy	πmy	X
ijassa-1055	169	77	ly	ly	X
ijassa-1055	169	78	dxdy	dxdy	PROPN
ijassa-1055	169	79	(	(	PUNCT
ijassa-1055	169	80	4.34	4.34	NUM
ijassa-1055	169	81	)	)	PUNCT
ijassa-1055	169	82	are	be	AUX
ijassa-1055	169	83	the	the	DET
ijassa-1055	169	84	fourier	fourier	ADJ
ijassa-1055	169	85	coefficients	coefficient	NOUN
ijassa-1055	169	86	of	of	ADP
ijassa-1055	169	87	the	the	DET
ijassa-1055	169	88	function	function	NOUN
ijassa-1055	169	89	φδ(m)|m∈π(a	φδ(m)|m∈π(a	PROPN
ijassa-1055	169	90	)	)	PUNCT
ijassa-1055	169	91	.	.	PUNCT
ijassa-1055	170	1	solving	solve	VERB
ijassa-1055	170	2	the	the	DET
ijassa-1055	170	3	equation	equation	NOUN
ijassa-1055	170	4	for	for	ADP
ijassa-1055	170	5	the	the	DET
ijassa-1055	170	6	fourier	fourier	ADJ
ijassa-1055	170	7	coefficients	coefficient	NOUN
ijassa-1055	170	8	of	of	ADP
ijassa-1055	170	9	the	the	DET
ijassa-1055	170	10	extremal	extremal	ADJ
ijassa-1055	170	11	and	and	CCONJ
ijassa-1055	170	12	substituting	substitute	VERB
ijassa-1055	170	13	the	the	DET
ijassa-1055	170	14	extremal	extremal	ADJ
ijassa-1055	170	15	wδα	wδα	NOUN
ijassa-1055	170	16	for	for	ADP
ijassa-1055	170	17	vh	vh	PROPN
ijassa-1055	170	18	into	into	ADP
ijassa-1055	170	19	representation	representation	NOUN
ijassa-1055	170	20	(	(	PUNCT
ijassa-1055	170	21	3.23	3.23	NUM
ijassa-1055	170	22	)	)	PUNCT
ijassa-1055	170	23	,	,	PUNCT
ijassa-1055	170	24	we	we	PRON
ijassa-1055	170	25	obtain	obtain	VERB
ijassa-1055	170	26	an	an	DET
ijassa-1055	170	27	approximation	approximation	NOUN
ijassa-1055	170	28	vδα	vδα	NOUN
ijassa-1055	170	29	to	to	ADP
ijassa-1055	170	30	the	the	DET
ijassa-1055	170	31	function	function	NOUN
ijassa-1055	170	32	copyright	copyright	NOUN
ijassa-1055	170	33	c	c	ADP
ijassa-1055	170	34	©	©	PROPN
ijassa-1055	170	35	2021	2021	NUM
ijassa-1055	170	36	assa	assa	NOUN
ijassa-1055	170	37	.	.	PUNCT
ijassa-1055	171	1	adv	adv	PROPN
ijassa-1055	171	2	syst	syst	PROPN
ijassa-1055	171	3	sci	sci	PROPN
ijassa-1055	171	4	appl	appl	PROPN
ijassa-1055	171	5	(	(	PUNCT
ijassa-1055	171	6	2021	2021	NUM
ijassa-1055	171	7	)	)	PUNCT
ijassa-1055	171	8	146	146	NUM
ijassa-1055	171	9	e.	e.	PROPN
ijassa-1055	171	10	laneev	laneev	PROPN
ijassa-1055	171	11	,	,	PUNCT
ijassa-1055	171	12	n.	n.	NOUN
ijassa-1055	171	13	chernikova	chernikova	PROPN
ijassa-1055	171	14	,	,	PUNCT
ijassa-1055	171	15	o.	o.	PROPN
ijassa-1055	171	16	baaj	baaj	VERB
ijassa-1055	171	17	v	v	NOUN
ijassa-1055	171	18	in	in	ADP
ijassa-1055	171	19	the	the	DET
ijassa-1055	171	20	domain	domain	NOUN
ijassa-1055	171	21	d(−∞	d(−∞	NOUN
ijassa-1055	171	22	,	,	PUNCT
ijassa-1055	171	23	h	h	NOUN
ijassa-1055	171	24	)	)	PUNCT
ijassa-1055	171	25	,	,	PUNCT
ijassa-1055	171	26	vδα(m	vδα(m	PROPN
ijassa-1055	171	27	)	)	PUNCT
ijassa-1055	171	28	=	=	PUNCT
ijassa-1055	172	1	−	−	PROPN
ijassa-1055	172	2	∞∑	∞∑	NUM
ijassa-1055	172	3	n	n	NOUN
ijassa-1055	172	4	,	,	PUNCT
ijassa-1055	172	5	m=1	m=1	PROPN
ijassa-1055	172	6	φ̃δ	φ̃δ	PRON
ijassa-1055	172	7	nm(a	nm(a	NOUN
ijassa-1055	172	8	)	)	PUNCT
ijassa-1055	172	9	exp{knm(zm	exp{knm(zm	VERB
ijassa-1055	172	10	−	−	PROPN
ijassa-1055	172	11	a	a	X
ijassa-1055	172	12	)	)	PUNCT
ijassa-1055	172	13	}	}	PUNCT
ijassa-1055	172	14	1	1	NUM
ijassa-1055	172	15	+	+	NUM
ijassa-1055	172	16	α	α	NUM
ijassa-1055	172	17	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	172	18	−	−	PROPN
ijassa-1055	172	19	a	a	NOUN
ijassa-1055	172	20	)	)	PUNCT
ijassa-1055	172	21	}	}	PUNCT
ijassa-1055	172	22	sin	sin	NOUN
ijassa-1055	172	23	πnxm	πnxm	NOUN
ijassa-1055	172	24	lx	lx	ADP
ijassa-1055	172	25	sin	sin	NOUN
ijassa-1055	172	26	πmym	πmym	ADJ
ijassa-1055	172	27	ly	ly	X
ijassa-1055	172	28	.	.	PUNCT
ijassa-1055	173	1	(	(	PUNCT
ijassa-1055	173	2	4.35	4.35	NUM
ijassa-1055	173	3	)	)	PUNCT
ijassa-1055	173	4	note	note	NOUN
ijassa-1055	173	5	that	that	SCONJ
ijassa-1055	173	6	coefficients	coefficient	NOUN
ijassa-1055	173	7	of	of	ADP
ijassa-1055	173	8	the	the	DET
ijassa-1055	173	9	series	series	NOUN
ijassa-1055	173	10	(	(	PUNCT
ijassa-1055	173	11	4.35	4.35	NUM
ijassa-1055	173	12	)	)	PUNCT
ijassa-1055	173	13	differ	differ	VERB
ijassa-1055	173	14	from	from	ADP
ijassa-1055	173	15	corresponding	corresponding	ADJ
ijassa-1055	173	16	coefficients	coefficient	NOUN
ijassa-1055	173	17	of	of	ADP
ijassa-1055	173	18	the	the	DET
ijassa-1055	173	19	series	series	NOUN
ijassa-1055	173	20	(	(	PUNCT
ijassa-1055	173	21	3.30	3.30	NUM
ijassa-1055	173	22	)	)	PUNCT
ijassa-1055	173	23	in	in	ADP
ijassa-1055	173	24	the	the	DET
ijassa-1055	173	25	factor	factor	NOUN
ijassa-1055	173	26	(	(	PUNCT
ijassa-1055	173	27	1	1	NUM
ijassa-1055	173	28	+	+	NUM
ijassa-1055	173	29	α	α	NUM
ijassa-1055	173	30	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	173	31	−	−	PROPN
ijassa-1055	173	32	a)})−1	a)})−1	PROPN
ijassa-1055	173	33	,	,	PUNCT
ijassa-1055	173	34	and	and	CCONJ
ijassa-1055	173	35	the	the	DET
ijassa-1055	173	36	series	series	NOUN
ijassa-1055	173	37	(	(	PUNCT
ijassa-1055	173	38	4.35	4.35	NUM
ijassa-1055	173	39	)	)	PUNCT
ijassa-1055	173	40	converges	converge	VERB
ijassa-1055	173	41	uniformly	uniformly	ADV
ijassa-1055	173	42	.	.	PUNCT
ijassa-1055	174	1	according	accord	VERB
ijassa-1055	174	2	to	to	ADP
ijassa-1055	174	3	the	the	DET
ijassa-1055	174	4	representation	representation	NOUN
ijassa-1055	174	5	(	(	PUNCT
ijassa-1055	174	6	3.17	3.17	NUM
ijassa-1055	174	7	)	)	PUNCT
ijassa-1055	174	8	,	,	PUNCT
ijassa-1055	174	9	we	we	PRON
ijassa-1055	174	10	obtain	obtain	VERB
ijassa-1055	174	11	an	an	DET
ijassa-1055	174	12	approximate	approximate	ADJ
ijassa-1055	174	13	solution	solution	NOUN
ijassa-1055	174	14	of	of	ADP
ijassa-1055	174	15	problem	problem	NOUN
ijassa-1055	174	16	(	(	PUNCT
ijassa-1055	174	17	2.7	2.7	NUM
ijassa-1055	174	18	)	)	PUNCT
ijassa-1055	174	19	in	in	ADP
ijassa-1055	174	20	the	the	DET
ijassa-1055	174	21	form	form	NOUN
ijassa-1055	174	22	uδα(m	uδα(m	NOUN
ijassa-1055	174	23	)	)	PUNCT
ijassa-1055	174	24	=	=	SYM
ijassa-1055	174	25	vδα(m	vδα(m	PROPN
ijassa-1055	174	26	)	)	PUNCT
ijassa-1055	174	27	+	+	NUM
ijassa-1055	174	28	φδ(m	φδ(m	NUM
ijassa-1055	174	29	)	)	PUNCT
ijassa-1055	174	30	,	,	PUNCT
ijassa-1055	174	31	m	m	VERB
ijassa-1055	174	32	∈	∈	NOUN
ijassa-1055	174	33	d(f	d(f	NOUN
ijassa-1055	174	34	,	,	PUNCT
ijassa-1055	174	35	h	h	NOUN
ijassa-1055	174	36	)	)	PUNCT
ijassa-1055	174	37	,	,	PUNCT
ijassa-1055	174	38	(	(	PUNCT
ijassa-1055	174	39	4.36	4.36	NUM
ijassa-1055	174	40	)	)	PUNCT
ijassa-1055	174	41	where	where	SCONJ
ijassa-1055	174	42	vδα	vδα	NOUN
ijassa-1055	174	43	and	and	CCONJ
ijassa-1055	174	44	φδ	φδ	NOUN
ijassa-1055	174	45	are	be	AUX
ijassa-1055	174	46	the	the	DET
ijassa-1055	174	47	functions	function	NOUN
ijassa-1055	174	48	defined	define	VERB
ijassa-1055	174	49	by	by	ADP
ijassa-1055	174	50	formulas	formula	NOUN
ijassa-1055	174	51	(	(	PUNCT
ijassa-1055	174	52	4.35	4.35	NUM
ijassa-1055	174	53	)	)	PUNCT
ijassa-1055	174	54	and	and	CCONJ
ijassa-1055	174	55	(	(	PUNCT
ijassa-1055	174	56	4.31	4.31	NUM
ijassa-1055	174	57	)	)	PUNCT
ijassa-1055	174	58	respectively	respectively	ADV
ijassa-1055	174	59	.	.	PUNCT
ijassa-1055	175	1	theorem	theorem	VERB
ijassa-1055	175	2	.	.	PUNCT
ijassa-1055	176	1	assume	assume	VERB
ijassa-1055	176	2	that	that	SCONJ
ijassa-1055	176	3	there	there	PRON
ijassa-1055	176	4	exists	exist	VERB
ijassa-1055	176	5	a	a	DET
ijassa-1055	176	6	solution	solution	NOUN
ijassa-1055	176	7	of	of	ADP
ijassa-1055	176	8	problem	problem	NOUN
ijassa-1055	176	9	(	(	PUNCT
ijassa-1055	176	10	2.7	2.7	NUM
ijassa-1055	176	11	)	)	PUNCT
ijassa-1055	176	12	.	.	PUNCT
ijassa-1055	177	1	then	then	ADV
ijassa-1055	177	2	,	,	PUNCT
ijassa-1055	177	3	for	for	ADP
ijassa-1055	177	4	any	any	DET
ijassa-1055	177	5	α	α	NOUN
ijassa-1055	177	6	=	=	SYM
ijassa-1055	177	7	α(δ	α(δ	PROPN
ijassa-1055	177	8	)	)	PUNCT
ijassa-1055	177	9	>	>	X
ijassa-1055	177	10	0	0	NUM
ijassa-1055	177	11	such	such	ADJ
ijassa-1055	177	12	that	that	PRON
ijassa-1055	177	13	α(δ)→	α(δ)→	ADJ
ijassa-1055	177	14	0	0	NUM
ijassa-1055	177	15	and	and	CCONJ
ijassa-1055	177	16	δ/	δ/	NOUN
ijassa-1055	177	17	√	√	NUM
ijassa-1055	177	18	α(δ)→	α(δ)→	NOUN
ijassa-1055	177	19	0	0	NUM
ijassa-1055	177	20	as	as	ADP
ijassa-1055	177	21	δ	δ	PROPN
ijassa-1055	177	22	→	→	SYM
ijassa-1055	177	23	0	0	PROPN
ijassa-1055	177	24	,	,	PUNCT
ijassa-1055	177	25	the	the	DET
ijassa-1055	177	26	function	function	NOUN
ijassa-1055	177	27	uα(δ	uα(δ	PRON
ijassa-1055	177	28	)	)	PUNCT
ijassa-1055	177	29	of	of	ADP
ijassa-1055	177	30	the	the	DET
ijassa-1055	177	31	form	form	NOUN
ijassa-1055	177	32	(	(	PUNCT
ijassa-1055	177	33	4.36	4.36	NUM
ijassa-1055	177	34	)	)	PUNCT
ijassa-1055	177	35	uniformly	uniformly	ADV
ijassa-1055	177	36	converges	converge	NOUN
ijassa-1055	177	37	as	as	ADP
ijassa-1055	177	38	δ	δ	PROPN
ijassa-1055	177	39	→	→	SYM
ijassa-1055	177	40	0	0	NUM
ijassa-1055	177	41	to	to	ADP
ijassa-1055	177	42	the	the	DET
ijassa-1055	177	43	exact	exact	ADJ
ijassa-1055	177	44	solution	solution	NOUN
ijassa-1055	177	45	of	of	ADP
ijassa-1055	177	46	problem	problem	NOUN
ijassa-1055	177	47	(	(	PUNCT
ijassa-1055	177	48	2.7	2.7	NUM
ijassa-1055	177	49	)	)	PUNCT
ijassa-1055	177	50	on	on	ADP
ijassa-1055	177	51	any	any	DET
ijassa-1055	177	52	compact	compact	NOUN
ijassa-1055	178	1	k	k	PROPN
ijassa-1055	178	2	⊂	⊂	X
ijassa-1055	178	3	d(f	d(f	NOUN
ijassa-1055	178	4	,	,	PUNCT
ijassa-1055	178	5	h	h	NOUN
ijassa-1055	178	6	)	)	PUNCT
ijassa-1055	178	7	.	.	PUNCT
ijassa-1055	179	1	proof	proof	NOUN
ijassa-1055	179	2	.	.	PUNCT
ijassa-1055	180	1	on	on	ADP
ijassa-1055	180	2	any	any	DET
ijassa-1055	180	3	compactk	compactk	NOUN
ijassa-1055	180	4	⊂	⊂	PROPN
ijassa-1055	180	5	d(f	d(f	NOUN
ijassa-1055	180	6	,	,	PUNCT
ijassa-1055	180	7	h	h	NOUN
ijassa-1055	180	8	)	)	PUNCT
ijassa-1055	180	9	,	,	PUNCT
ijassa-1055	180	10	according	accord	VERB
ijassa-1055	180	11	to	to	ADP
ijassa-1055	180	12	representations	representation	NOUN
ijassa-1055	180	13	(	(	PUNCT
ijassa-1055	180	14	4.36	4.36	NUM
ijassa-1055	180	15	)	)	PUNCT
ijassa-1055	180	16	and	and	CCONJ
ijassa-1055	180	17	(	(	PUNCT
ijassa-1055	180	18	3.17	3.17	NUM
ijassa-1055	180	19	)	)	PUNCT
ijassa-1055	180	20	,	,	PUNCT
ijassa-1055	180	21	we	we	PRON
ijassa-1055	180	22	estimate	estimate	VERB
ijassa-1055	180	23	the	the	DET
ijassa-1055	180	24	difference	difference	NOUN
ijassa-1055	180	25	|uδα	|uδα	VERB
ijassa-1055	180	26	−	−	PROPN
ijassa-1055	181	1	u|	u|	PROPN
ijassa-1055	181	2	6	6	NUM
ijassa-1055	181	3	|vδα	|vδα	VERB
ijassa-1055	181	4	−	−	PROPN
ijassa-1055	181	5	v|+	v|+	NOUN
ijassa-1055	181	6	|φδ	|φδ	X
ijassa-1055	181	7	−	−	PROPN
ijassa-1055	181	8	φ|	φ|	PROPN
ijassa-1055	181	9	.	.	PUNCT
ijassa-1055	182	1	(	(	PUNCT
ijassa-1055	182	2	4.37	4.37	NUM
ijassa-1055	182	3	)	)	PUNCT
ijassa-1055	182	4	obviously	obviously	ADV
ijassa-1055	182	5	,	,	PUNCT
ijassa-1055	182	6	there	there	PRON
ijassa-1055	182	7	is	be	VERB
ijassa-1055	182	8	ε	ε	PROPN
ijassa-1055	182	9	>	>	X
ijassa-1055	182	10	0	0	NUM
ijassa-1055	182	11	such	such	ADJ
ijassa-1055	182	12	that	that	SCONJ
ijassa-1055	182	13	k	k	PROPN
ijassa-1055	182	14	⊂	⊂	PROPN
ijassa-1055	182	15	d(−∞	d(−∞	PROPN
ijassa-1055	182	16	,	,	PUNCT
ijassa-1055	182	17	h	h	NOUN
ijassa-1055	182	18	−	−	PROPN
ijassa-1055	182	19	ε	ε	PROPN
ijassa-1055	182	20	)	)	PUNCT
ijassa-1055	182	21	.	.	PUNCT
ijassa-1055	183	1	for	for	ADP
ijassa-1055	183	2	the	the	DET
ijassa-1055	183	3	modul	modul	PROPN
ijassa-1055	183	4	of	of	ADP
ijassa-1055	183	5	the	the	DET
ijassa-1055	183	6	difference	difference	NOUN
ijassa-1055	184	1	vδα	vδα	NOUN
ijassa-1055	184	2	−	−	PROPN
ijassa-1055	184	3	v	v	NOUN
ijassa-1055	184	4	in	in	ADP
ijassa-1055	184	5	the	the	DET
ijassa-1055	184	6	domain	domain	NOUN
ijassa-1055	184	7	d(−∞	d(−∞	NOUN
ijassa-1055	184	8	,	,	PUNCT
ijassa-1055	184	9	h	h	NOUN
ijassa-1055	184	10	−	−	PROPN
ijassa-1055	184	11	ε	ε	PROPN
ijassa-1055	184	12	)	)	PUNCT
ijassa-1055	184	13	we	we	PRON
ijassa-1055	184	14	obtain	obtain	VERB
ijassa-1055	184	15	|vδα	|vδα	VERB
ijassa-1055	184	16	−	−	PROPN
ijassa-1055	184	17	v|	v|	PROPN
ijassa-1055	184	18	6	6	NUM
ijassa-1055	184	19	|vδα	|vδα	VERB
ijassa-1055	184	20	−	−	PROPN
ijassa-1055	184	21	vα|+	vα|+	NOUN
ijassa-1055	184	22	|vα	|vα	DET
ijassa-1055	184	23	−	−	PROPN
ijassa-1055	184	24	v|	v|	NOUN
ijassa-1055	184	25	,	,	PUNCT
ijassa-1055	184	26	(	(	PUNCT
ijassa-1055	184	27	4.38	4.38	NUM
ijassa-1055	184	28	)	)	PUNCT
ijassa-1055	184	29	where	where	SCONJ
ijassa-1055	184	30	vα	vα	PROPN
ijassa-1055	184	31	is	be	AUX
ijassa-1055	184	32	a	a	DET
ijassa-1055	184	33	function	function	NOUN
ijassa-1055	184	34	of	of	ADP
ijassa-1055	184	35	the	the	DET
ijassa-1055	184	36	form	form	NOUN
ijassa-1055	184	37	(	(	PUNCT
ijassa-1055	184	38	4.35	4.35	NUM
ijassa-1055	184	39	)	)	PUNCT
ijassa-1055	184	40	for	for	ADP
ijassa-1055	184	41	exact	exact	ADJ
ijassa-1055	184	42	functions	function	NOUN
ijassa-1055	184	43	f	f	PROPN
ijassa-1055	184	44	and	and	CCONJ
ijassa-1055	184	45	f1	f1	NOUN
ijassa-1055	184	46	,	,	PUNCT
ijassa-1055	184	47	vα(m	vα(m	NUM
ijassa-1055	184	48	)	)	PUNCT
ijassa-1055	184	49	=	=	PUNCT
ijassa-1055	185	1	−	−	PROPN
ijassa-1055	185	2	∞∑	∞∑	NUM
ijassa-1055	185	3	n	n	NOUN
ijassa-1055	185	4	,	,	PUNCT
ijassa-1055	185	5	m=1	m=1	PROPN
ijassa-1055	185	6	φ̃nm(a	φ̃nm(a	PROPN
ijassa-1055	185	7	)	)	PUNCT
ijassa-1055	185	8	exp{knm(zm	exp{knm(zm	ADP
ijassa-1055	185	9	−	−	PROPN
ijassa-1055	185	10	a	a	X
ijassa-1055	185	11	)	)	PUNCT
ijassa-1055	185	12	}	}	PUNCT
ijassa-1055	185	13	1	1	NUM
ijassa-1055	185	14	+	+	NUM
ijassa-1055	185	15	α	α	NUM
ijassa-1055	185	16	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	185	17	−	−	PROPN
ijassa-1055	185	18	a	a	NOUN
ijassa-1055	185	19	)	)	PUNCT
ijassa-1055	185	20	}	}	PUNCT
ijassa-1055	185	21	sin	sin	NOUN
ijassa-1055	185	22	πnxm	πnxm	NOUN
ijassa-1055	185	23	lx	lx	ADP
ijassa-1055	185	24	sin	sin	NOUN
ijassa-1055	185	25	πmym	πmym	ADJ
ijassa-1055	185	26	ly	ly	X
ijassa-1055	185	27	.	.	PUNCT
ijassa-1055	186	1	(	(	PUNCT
ijassa-1055	186	2	4.39	4.39	NUM
ijassa-1055	186	3	)	)	PUNCT
ijassa-1055	186	4	to	to	PART
ijassa-1055	186	5	estimate	estimate	VERB
ijassa-1055	186	6	the	the	DET
ijassa-1055	186	7	difference	difference	NOUN
ijassa-1055	186	8	vδα	vδα	INTJ
ijassa-1055	186	9	−	−	NOUN
ijassa-1055	186	10	vα	vα	PROPN
ijassa-1055	186	11	on	on	ADP
ijassa-1055	186	12	the	the	DET
ijassa-1055	186	13	right	right	ADJ
ijassa-1055	186	14	-	-	PUNCT
ijassa-1055	186	15	hand	hand	NOUN
ijassa-1055	186	16	side	side	NOUN
ijassa-1055	186	17	in	in	ADP
ijassa-1055	186	18	inequality	inequality	NOUN
ijassa-1055	186	19	(	(	PUNCT
ijassa-1055	186	20	4.38	4.38	NUM
ijassa-1055	186	21	)	)	PUNCT
ijassa-1055	186	22	for	for	ADP
ijassa-1055	186	23	zm	zm	PROPN
ijassa-1055	186	24	<	<	X
ijassa-1055	186	25	h	h	PROPN
ijassa-1055	186	26	−	−	PROPN
ijassa-1055	186	27	ε	ε	PROPN
ijassa-1055	186	28	,	,	PUNCT
ijassa-1055	186	29	we	we	PRON
ijassa-1055	186	30	use	use	VERB
ijassa-1055	186	31	inequality	inequality	NOUN
ijassa-1055	186	32	(	(	PUNCT
ijassa-1055	186	33	4.32	4.32	NUM
ijassa-1055	186	34	)	)	PUNCT
ijassa-1055	186	35	|vδα(m)−	|vδα(m)−	NOUN
ijassa-1055	186	36	vα(m)|	vα(m)|	PUNCT
ijassa-1055	186	37	6	6	NUM
ijassa-1055	186	38	∣∣∣∣	∣∣∣∣	NOUN
ijassa-1055	186	39	∞∑	∞∑	NUM
ijassa-1055	186	40	n	n	CCONJ
ijassa-1055	186	41	,	,	PUNCT
ijassa-1055	186	42	m=1	m=1	X
ijassa-1055	186	43	exp{knm(zm	exp{knm(zm	ADV
ijassa-1055	186	44	−	−	PROPN
ijassa-1055	186	45	a	a	X
ijassa-1055	186	46	)	)	PUNCT
ijassa-1055	186	47	}	}	PUNCT
ijassa-1055	186	48	1	1	NUM
ijassa-1055	186	49	+	+	NUM
ijassa-1055	186	50	α	α	NUM
ijassa-1055	186	51	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	186	52	−	−	PROPN
ijassa-1055	186	53	a	a	NOUN
ijassa-1055	186	54	)	)	PUNCT
ijassa-1055	186	55	}	}	PUNCT
ijassa-1055	186	56	∣∣∣∣	∣∣∣∣	PROPN
ijassa-1055	186	57	·	·	PUNCT
ijassa-1055	186	58	4	4	NUM
ijassa-1055	186	59	max	max	PROPN
ijassa-1055	186	60	p∈π(a	p∈π(a	PROPN
ijassa-1055	186	61	)	)	PUNCT
ijassa-1055	186	62	∣∣φδ(p	∣∣φδ(p	PROPN
ijassa-1055	186	63	)	)	PUNCT
ijassa-1055	187	1	−	−	PROPN
ijassa-1055	187	2	φ(p	φ(p	PROPN
ijassa-1055	187	3	)	)	PUNCT
ijassa-1055	187	4	∣∣	∣∣	NUM
ijassa-1055	187	5	6	6	NUM
ijassa-1055	187	6	6	6	NUM
ijassa-1055	187	7	c1δ	c1δ	NOUN
ijassa-1055	187	8	∞∑	∞∑	NUM
ijassa-1055	187	9	n	n	CCONJ
ijassa-1055	187	10	,	,	PUNCT
ijassa-1055	187	11	m=1	m=1	PROPN
ijassa-1055	187	12	exp{knm(h	exp{knm(h	NOUN
ijassa-1055	187	13	−	−	NOUN
ijassa-1055	187	14	ε−	ε−	PROPN
ijassa-1055	187	15	a	a	NOUN
ijassa-1055	187	16	)	)	PUNCT
ijassa-1055	187	17	}	}	PUNCT
ijassa-1055	187	18	1	1	NUM
ijassa-1055	187	19	+	+	NUM
ijassa-1055	188	1	α	α	NUM
ijassa-1055	188	2	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	188	3	−	−	PROPN
ijassa-1055	188	4	a	a	NOUN
ijassa-1055	188	5	)	)	PUNCT
ijassa-1055	188	6	}	}	PUNCT
ijassa-1055	188	7	6	6	NUM
ijassa-1055	188	8	6	6	NUM
ijassa-1055	188	9	c1δmax	c1δmax	ADJ
ijassa-1055	188	10	x	x	SYM
ijassa-1055	188	11	[	[	PUNCT
ijassa-1055	188	12	ex	ex	X
ijassa-1055	188	13	1	1	NUM
ijassa-1055	188	14	+	+	NUM
ijassa-1055	188	15	αe2x	αe2x	NOUN
ijassa-1055	188	16	]	]	PUNCT
ijassa-1055	189	1	∞∑	∞∑	NUM
ijassa-1055	189	2	n	n	NOUN
ijassa-1055	189	3	,	,	PUNCT
ijassa-1055	189	4	m=1	m=1	X
ijassa-1055	189	5	exp{−knmε	exp{−knmε	NOUN
ijassa-1055	189	6	}	}	SYM
ijassa-1055	189	7	6	6	NUM
ijassa-1055	189	8	c2	c2	PROPN
ijassa-1055	189	9	δ√	δ√	PUNCT
ijassa-1055	189	10	α	α	NOUN
ijassa-1055	189	11	.	.	PUNCT
ijassa-1055	190	1	(	(	PUNCT
ijassa-1055	190	2	4.40	4.40	NUM
ijassa-1055	190	3	)	)	PUNCT
ijassa-1055	190	4	we	we	PRON
ijassa-1055	190	5	estimate	estimate	VERB
ijassa-1055	190	6	the	the	DET
ijassa-1055	190	7	difference	difference	NOUN
ijassa-1055	190	8	vα	vα	ADP
ijassa-1055	190	9	−	−	PROPN
ijassa-1055	190	10	v	v	NOUN
ijassa-1055	190	11	in	in	ADP
ijassa-1055	190	12	inequality	inequality	NOUN
ijassa-1055	190	13	(	(	PUNCT
ijassa-1055	190	14	4.38	4.38	NUM
ijassa-1055	190	15	)	)	PUNCT
ijassa-1055	190	16	for	for	ADP
ijassa-1055	190	17	zm	zm	PROPN
ijassa-1055	190	18	<	<	X
ijassa-1055	190	19	h	h	PROPN
ijassa-1055	190	20	−	−	PROPN
ijassa-1055	190	21	ε	ε	PROPN
ijassa-1055	190	22	,	,	PUNCT
ijassa-1055	190	23	|vα	|vα	PRON
ijassa-1055	190	24	−	−	PROPN
ijassa-1055	190	25	v|	v|	PROPN
ijassa-1055	190	26	6	6	NUM
ijassa-1055	190	27	∞∑	∞∑	NUM
ijassa-1055	190	28	n	n	X
ijassa-1055	190	29	,	,	PUNCT
ijassa-1055	190	30	m=1	m=1	PROPN
ijassa-1055	190	31	α	α	PROPN
ijassa-1055	190	32	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	190	33	−	−	PROPN
ijassa-1055	190	34	a	a	NOUN
ijassa-1055	190	35	)	)	PUNCT
ijassa-1055	190	36	}	}	PUNCT
ijassa-1055	190	37	exp{knm(h	exp{knm(h	NOUN
ijassa-1055	190	38	−	−	NOUN
ijassa-1055	190	39	ε−	ε−	PROPN
ijassa-1055	190	40	a	a	NOUN
ijassa-1055	190	41	)	)	PUNCT
ijassa-1055	190	42	}	}	PUNCT
ijassa-1055	190	43	1	1	NUM
ijassa-1055	190	44	+	+	NUM
ijassa-1055	190	45	α	α	NUM
ijassa-1055	190	46	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	190	47	−	−	PROPN
ijassa-1055	190	48	a	a	NOUN
ijassa-1055	190	49	)	)	PUNCT
ijassa-1055	190	50	}	}	PUNCT
ijassa-1055	190	51	∣∣φ̃nm(a	∣∣φ̃nm(a	NOUN
ijassa-1055	190	52	)	)	PUNCT
ijassa-1055	190	53	∣∣.	∣∣.	NOUN
ijassa-1055	190	54	copyright	copyright	NOUN
ijassa-1055	190	55	c	c	ADP
ijassa-1055	190	56	©	©	PROPN
ijassa-1055	190	57	2021	2021	NUM
ijassa-1055	190	58	assa	assa	NOUN
ijassa-1055	190	59	.	.	PUNCT
ijassa-1055	191	1	adv	adv	PROPN
ijassa-1055	191	2	syst	syst	PROPN
ijassa-1055	191	3	sci	sci	PROPN
ijassa-1055	191	4	appl	appl	PROPN
ijassa-1055	191	5	(	(	PUNCT
ijassa-1055	191	6	2021	2021	NUM
ijassa-1055	191	7	)	)	PUNCT
ijassa-1055	191	8	application	application	NOUN
ijassa-1055	191	9	of	of	ADP
ijassa-1055	191	10	the	the	DET
ijassa-1055	191	11	minimum	minimum	ADJ
ijassa-1055	191	12	principle	principle	NOUN
ijassa-1055	191	13	...	...	PUNCT
ijassa-1055	191	14	147	147	NUM
ijassa-1055	191	15	from	from	ADP
ijassa-1055	191	16	this	this	PRON
ijassa-1055	191	17	,	,	PUNCT
ijassa-1055	191	18	using	use	VERB
ijassa-1055	191	19	(	(	PUNCT
ijassa-1055	191	20	3.28	3.28	NUM
ijassa-1055	191	21	)	)	PUNCT
ijassa-1055	191	22	and	and	CCONJ
ijassa-1055	191	23	applying	apply	VERB
ijassa-1055	191	24	the	the	DET
ijassa-1055	191	25	cauchyschwarz	cauchyschwarz	PROPN
ijassa-1055	191	26	inequality	inequality	NOUN
ijassa-1055	191	27	,	,	PUNCT
ijassa-1055	191	28	we	we	PRON
ijassa-1055	191	29	obtain	obtain	VERB
ijassa-1055	191	30	|vα	|vα	DET
ijassa-1055	191	31	−	−	NOUN
ijassa-1055	191	32	v|	v|	NOUN
ijassa-1055	191	33	=	=	NOUN
ijassa-1055	191	34	∞∑	∞∑	NUM
ijassa-1055	192	1	n	n	CCONJ
ijassa-1055	192	2	,	,	PUNCT
ijassa-1055	192	3	m=1	m=1	PROPN
ijassa-1055	192	4	α	α	PROPN
ijassa-1055	192	5	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	192	6	−	−	PROPN
ijassa-1055	192	7	a	a	NOUN
ijassa-1055	192	8	)	)	PUNCT
ijassa-1055	192	9	}	}	PUNCT
ijassa-1055	192	10	exp{−knmε	exp{−knmε	NOUN
ijassa-1055	192	11	}	}	PUNCT
ijassa-1055	192	12	1	1	NUM
ijassa-1055	193	1	+	+	NUM
ijassa-1055	193	2	α	α	NUM
ijassa-1055	193	3	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	193	4	−	−	PROPN
ijassa-1055	193	5	a	a	NOUN
ijassa-1055	193	6	)	)	PUNCT
ijassa-1055	193	7	}	}	PUNCT
ijassa-1055	193	8	∣∣	∣∣	X
ijassa-1055	193	9	˜(vh)nm	˜(vh)nm	X
ijassa-1055	193	10	∣∣	∣∣	NUM
ijassa-1055	193	11	6	6	NUM
ijassa-1055	193	12	6	6	NUM
ijassa-1055	193	13	[	[	PUNCT
ijassa-1055	193	14	∞∑	∞∑	NUM
ijassa-1055	193	15	n	n	CCONJ
ijassa-1055	193	16	,	,	PUNCT
ijassa-1055	193	17	m=1	m=1	X
ijassa-1055	193	18	(	(	PUNCT
ijassa-1055	193	19	α	α	PROPN
ijassa-1055	193	20	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	193	21	−	−	PROPN
ijassa-1055	193	22	a	a	NOUN
ijassa-1055	193	23	)	)	PUNCT
ijassa-1055	193	24	}	}	PUNCT
ijassa-1055	193	25	1	1	NUM
ijassa-1055	194	1	+	+	NUM
ijassa-1055	194	2	α	α	NUM
ijassa-1055	194	3	exp{2knm(h	exp{2knm(h	PROPN
ijassa-1055	194	4	−	−	PROPN
ijassa-1055	194	5	a	a	NOUN
ijassa-1055	194	6	)	)	PUNCT
ijassa-1055	194	7	}	}	PUNCT
ijassa-1055	194	8	)	)	PUNCT
ijassa-1055	194	9	2	2	NUM
ijassa-1055	194	10	exp{−2knmε	exp{−2knmε	PROPN
ijassa-1055	194	11	}	}	PUNCT
ijassa-1055	194	12	]	]	NUM
ijassa-1055	194	13	1/2	1/2	NUM
ijassa-1055	194	14	·	·	PUNCT
ijassa-1055	194	15	2√	2√	PROPN
ijassa-1055	194	16	lxly	lxly	NOUN
ijassa-1055	194	17	||vh	||vh	NUM
ijassa-1055	194	18	||l2	||l2	NOUN
ijassa-1055	194	19	.	.	PUNCT
ijassa-1055	195	1	since	since	SCONJ
ijassa-1055	195	2	the	the	DET
ijassa-1055	195	3	series	series	NOUN
ijassa-1055	195	4	depending	depend	VERB
ijassa-1055	195	5	on	on	ADP
ijassa-1055	195	6	the	the	DET
ijassa-1055	195	7	parameter	parameter	NOUN
ijassa-1055	195	8	α	α	PROPN
ijassa-1055	195	9	is	be	AUX
ijassa-1055	195	10	majorized	majorize	VERB
ijassa-1055	195	11	by	by	ADP
ijassa-1055	195	12	the	the	DET
ijassa-1055	195	13	converging	converging	ADJ
ijassa-1055	195	14	numerical	numerical	PROPN
ijassa-1055	195	15	series	series	PROPN
ijassa-1055	195	16	with	with	ADP
ijassa-1055	195	17	coefficients	coefficient	NOUN
ijassa-1055	195	18	exp{−2εknm	exp{−2εknm	PROPN
ijassa-1055	195	19	}	}	PUNCT
ijassa-1055	195	20	,	,	PUNCT
ijassa-1055	195	21	it	it	PRON
ijassa-1055	195	22	is	be	AUX
ijassa-1055	195	23	possible	possible	ADJ
ijassa-1055	195	24	to	to	PART
ijassa-1055	195	25	pass	pass	VERB
ijassa-1055	195	26	to	to	ADP
ijassa-1055	195	27	the	the	DET
ijassa-1055	195	28	limit	limit	NOUN
ijassa-1055	195	29	in	in	ADP
ijassa-1055	195	30	α	α	NOUN
ijassa-1055	195	31	,	,	PUNCT
ijassa-1055	195	32	and	and	CCONJ
ijassa-1055	195	33	hence	hence	ADV
ijassa-1055	195	34	|vα	|vα	PRON
ijassa-1055	195	35	−	−	PROPN
ijassa-1055	195	36	v|	v|	ADV
ijassa-1055	195	37	→	→	SYM
ijassa-1055	195	38	0	0	NUM
ijassa-1055	195	39	when	when	SCONJ
ijassa-1055	195	40	α→	α→	PROPN
ijassa-1055	195	41	0	0	NUM
ijassa-1055	195	42	.	.	PUNCT
ijassa-1055	196	1	(	(	PUNCT
ijassa-1055	196	2	4.41	4.41	NUM
ijassa-1055	196	3	)	)	PUNCT
ijassa-1055	196	4	it	it	PRON
ijassa-1055	196	5	follows	follow	VERB
ijassa-1055	196	6	from	from	ADP
ijassa-1055	196	7	(	(	PUNCT
ijassa-1055	196	8	4.38	4.38	NUM
ijassa-1055	196	9	)	)	PUNCT
ijassa-1055	196	10	,	,	PUNCT
ijassa-1055	196	11	(	(	PUNCT
ijassa-1055	196	12	4.40	4.40	NUM
ijassa-1055	196	13	)	)	PUNCT
ijassa-1055	196	14	,	,	PUNCT
ijassa-1055	196	15	(	(	PUNCT
ijassa-1055	196	16	4.41	4.41	NUM
ijassa-1055	196	17	)	)	PUNCT
ijassa-1055	196	18	,	,	PUNCT
ijassa-1055	196	19	and	and	CCONJ
ijassa-1055	196	20	the	the	DET
ijassa-1055	196	21	assumptions	assumption	NOUN
ijassa-1055	196	22	of	of	ADP
ijassa-1055	196	23	the	the	DET
ijassa-1055	196	24	theorem	theorem	NOUN
ijassa-1055	196	25	that	that	PRON
ijassa-1055	196	26	|vδα(δ	|vδα(δ	NOUN
ijassa-1055	196	27	)	)	PUNCT
ijassa-1055	196	28	−	−	PROPN
ijassa-1055	196	29	v|	v|	ADV
ijassa-1055	196	30	→	→	SYM
ijassa-1055	196	31	0	0	NUM
ijassa-1055	196	32	when	when	SCONJ
ijassa-1055	196	33	δ	δ	PROPN
ijassa-1055	196	34	→	→	X
ijassa-1055	196	35	0	0	PROPN
ijassa-1055	196	36	.	.	PUNCT
ijassa-1055	197	1	(	(	PUNCT
ijassa-1055	197	2	4.42	4.42	NUM
ijassa-1055	197	3	)	)	PUNCT
ijassa-1055	197	4	the	the	DET
ijassa-1055	197	5	second	second	ADJ
ijassa-1055	197	6	difference	difference	NOUN
ijassa-1055	197	7	on	on	ADP
ijassa-1055	197	8	the	the	DET
ijassa-1055	197	9	right	right	ADJ
ijassa-1055	197	10	-	-	PUNCT
ijassa-1055	197	11	hand	hand	NOUN
ijassa-1055	197	12	side	side	NOUN
ijassa-1055	197	13	in	in	ADP
ijassa-1055	197	14	inequality	inequality	NOUN
ijassa-1055	197	15	(	(	PUNCT
ijassa-1055	197	16	4.37	4.37	NUM
ijassa-1055	197	17	)	)	PUNCT
ijassa-1055	197	18	can	can	AUX
ijassa-1055	197	19	be	be	AUX
ijassa-1055	197	20	estimated	estimate	VERB
ijassa-1055	197	21	by	by	ADP
ijassa-1055	197	22	analogy	analogy	NOUN
ijassa-1055	197	23	with	with	ADP
ijassa-1055	197	24	(	(	PUNCT
ijassa-1055	197	25	4.32	4.32	NUM
ijassa-1055	197	26	)	)	PUNCT
ijassa-1055	197	27	.	.	PUNCT
ijassa-1055	198	1	we	we	PRON
ijassa-1055	198	2	apply	apply	VERB
ijassa-1055	198	3	the	the	DET
ijassa-1055	198	4	cauchy	cauchy	PROPN
ijassa-1055	198	5	-	-	PUNCT
ijassa-1055	198	6	schwarz	schwarz	PROPN
ijassa-1055	198	7	inequality	inequality	NOUN
ijassa-1055	198	8	to	to	ADP
ijassa-1055	198	9	this	this	DET
ijassa-1055	198	10	difference	difference	NOUN
ijassa-1055	198	11	for	for	ADP
ijassa-1055	198	12	m	m	PROPN
ijassa-1055	198	13	∈	∈	PROPN
ijassa-1055	198	14	k	k	NOUN
ijassa-1055	198	15	,	,	PUNCT
ijassa-1055	198	16	and	and	CCONJ
ijassa-1055	198	17	obtain	obtain	VERB
ijassa-1055	198	18	|φδ(m)−	|φδ(m)−	NOUN
ijassa-1055	198	19	φ(m)|	φ(m)|	NOUN
ijassa-1055	198	20	6	6	NUM
ijassa-1055	198	21	hmax	hmax	NOUN
ijassa-1055	198	22	m∈k	m∈k	NOUN
ijassa-1055	198	23	(	(	PUNCT
ijassa-1055	198	24	∫	∫	PROPN
ijassa-1055	198	25	s	s	PART
ijassa-1055	198	26	ϕ2(m	ϕ2(m	PROPN
ijassa-1055	198	27	,	,	PUNCT
ijassa-1055	198	28	p	p	NOUN
ijassa-1055	198	29	)	)	PUNCT
ijassa-1055	198	30	dσp	dσp	NOUN
ijassa-1055	198	31	)	)	PUNCT
ijassa-1055	198	32	1/2	1/2	NUM
ijassa-1055	198	33	‖f	‖f	PUNCT
ijassa-1055	198	34	δ	δ	NOUN
ijassa-1055	198	35	−	−	NOUN
ijassa-1055	198	36	f‖l2(s)+	f‖l2(s)+	NOUN
ijassa-1055	198	37	+	+	CCONJ
ijassa-1055	198	38	max	max	PROPN
ijassa-1055	198	39	m∈k	m∈k	NOUN
ijassa-1055	198	40	(	(	PUNCT
ijassa-1055	198	41	∫	∫	PROPN
ijassa-1055	198	42	s	s	PART
ijassa-1055	198	43	[	[	PUNCT
ijassa-1055	198	44	∂ϕ	∂ϕ	PROPN
ijassa-1055	198	45	∂np	∂np	PROPN
ijassa-1055	198	46	(	(	PUNCT
ijassa-1055	198	47	m	m	PROPN
ijassa-1055	198	48	,	,	PUNCT
ijassa-1055	198	49	p	p	NOUN
ijassa-1055	198	50	)	)	PUNCT
ijassa-1055	198	51	]	]	SYM
ijassa-1055	198	52	2	2	NUM
ijassa-1055	198	53	dσp	dσp	NOUN
ijassa-1055	198	54	)	)	PUNCT
ijassa-1055	198	55	1/2	1/2	NUM
ijassa-1055	198	56	‖f	‖f	PUNCT
ijassa-1055	198	57	δ	δ	NOUN
ijassa-1055	198	58	−	−	NOUN
ijassa-1055	198	59	f‖l2(s)+	f‖l2(s)+	NOUN
ijassa-1055	198	60	+	+	CCONJ
ijassa-1055	198	61	max	max	PROPN
ijassa-1055	198	62	m∈k	m∈k	NOUN
ijassa-1055	198	63	(	(	PUNCT
ijassa-1055	198	64	∫	∫	PROPN
ijassa-1055	198	65	γh	γh	X
ijassa-1055	198	66	[	[	PUNCT
ijassa-1055	198	67	∂ϕ	∂ϕ	PROPN
ijassa-1055	198	68	∂np	∂np	PROPN
ijassa-1055	198	69	(	(	PUNCT
ijassa-1055	198	70	m	m	PROPN
ijassa-1055	198	71	,	,	PUNCT
ijassa-1055	198	72	p	p	NOUN
ijassa-1055	198	73	)	)	PUNCT
ijassa-1055	198	74	]	]	SYM
ijassa-1055	198	75	2	2	NUM
ijassa-1055	198	76	dσp	dσp	NOUN
ijassa-1055	198	77	)	)	PUNCT
ijassa-1055	198	78	1/2	1/2	NUM
ijassa-1055	198	79	‖f	‖f	NOUN
ijassa-1055	198	80	δ1	δ1	NOUN
ijassa-1055	198	81	−	−	PROPN
ijassa-1055	198	82	f1‖l2(γh	f1‖l2(γh	NOUN
ijassa-1055	198	83	)	)	PUNCT
ijassa-1055	198	84	6	6	NUM
ijassa-1055	198	85	c3δ	c3δ	NOUN
ijassa-1055	198	86	.	.	PUNCT
ijassa-1055	199	1	from	from	ADP
ijassa-1055	199	2	this	this	DET
ijassa-1055	199	3	relation	relation	NOUN
ijassa-1055	199	4	,	,	PUNCT
ijassa-1055	199	5	inequality	inequality	NOUN
ijassa-1055	199	6	(	(	PUNCT
ijassa-1055	199	7	4.37	4.37	NUM
ijassa-1055	199	8	)	)	PUNCT
ijassa-1055	199	9	,	,	PUNCT
ijassa-1055	199	10	and	and	CCONJ
ijassa-1055	199	11	formula	formula	NOUN
ijassa-1055	199	12	(	(	PUNCT
ijassa-1055	199	13	4.42	4.42	NUM
ijassa-1055	199	14	)	)	PUNCT
ijassa-1055	199	15	the	the	DET
ijassa-1055	199	16	assertion	assertion	NOUN
ijassa-1055	199	17	of	of	ADP
ijassa-1055	199	18	the	the	DET
ijassa-1055	199	19	theorem	theorem	NOUN
ijassa-1055	199	20	follows	follow	VERB
ijassa-1055	199	21	.	.	PUNCT
ijassa-1055	200	1	5	5	X
ijassa-1055	200	2	.	.	X
ijassa-1055	200	3	numerical	numerical	ADJ
ijassa-1055	200	4	solution	solution	NOUN
ijassa-1055	200	5	of	of	ADP
ijassa-1055	200	6	the	the	DET
ijassa-1055	200	7	problem	problem	NOUN
ijassa-1055	200	8	the	the	DET
ijassa-1055	200	9	effectiveness	effectiveness	NOUN
ijassa-1055	200	10	of	of	ADP
ijassa-1055	200	11	the	the	DET
ijassa-1055	200	12	proposed	propose	VERB
ijassa-1055	200	13	method	method	NOUN
ijassa-1055	200	14	for	for	ADP
ijassa-1055	200	15	solving	solve	VERB
ijassa-1055	200	16	the	the	DET
ijassa-1055	200	17	problem	problem	NOUN
ijassa-1055	200	18	(	(	PUNCT
ijassa-1055	200	19	2.7	2.7	NUM
ijassa-1055	200	20	)	)	PUNCT
ijassa-1055	200	21	is	be	AUX
ijassa-1055	200	22	shown	show	VERB
ijassa-1055	200	23	in	in	ADP
ijassa-1055	200	24	the	the	DET
ijassa-1055	200	25	following	follow	VERB
ijassa-1055	200	26	model	model	NOUN
ijassa-1055	200	27	example	example	NOUN
ijassa-1055	200	28	.	.	PUNCT
ijassa-1055	201	1	in	in	ADP
ijassa-1055	201	2	the	the	DET
ijassa-1055	201	3	problem	problem	NOUN
ijassa-1055	201	4	(	(	PUNCT
ijassa-1055	201	5	2.3	2.3	NUM
ijassa-1055	201	6	)	)	PUNCT
ijassa-1055	201	7	,	,	PUNCT
ijassa-1055	201	8	let	let	VERB
ijassa-1055	201	9	the	the	DET
ijassa-1055	201	10	surface	surface	NOUN
ijassa-1055	201	11	s	s	VERB
ijassa-1055	201	12	be	be	AUX
ijassa-1055	201	13	the	the	DET
ijassa-1055	201	14	plane	plane	NOUN
ijassa-1055	201	15	π(0	π(0	PROPN
ijassa-1055	201	16	)	)	PUNCT
ijassa-1055	201	17	,	,	PUNCT
ijassa-1055	201	18	f1	f1	NOUN
ijassa-1055	201	19	=	=	SYM
ijassa-1055	201	20	u0	u0	NOUN
ijassa-1055	201	21	=	=	NOUN
ijassa-1055	201	22	24	24	NUM
ijassa-1055	201	23	,	,	PUNCT
ijassa-1055	201	24	h	h	NOUN
ijassa-1055	201	25	=	=	NOUN
ijassa-1055	201	26	0.5	0.5	NUM
ijassa-1055	201	27	,	,	PUNCT
ijassa-1055	201	28	lx	lx	ADP
ijassa-1055	201	29	=	=	SYM
ijassa-1055	201	30	30	30	NUM
ijassa-1055	201	31	,	,	PUNCT
ijassa-1055	201	32	ly	ly	X
ijassa-1055	201	33	=	=	SYM
ijassa-1055	201	34	30	30	NUM
ijassa-1055	201	35	,	,	PUNCT
ijassa-1055	201	36	h	h	NOUN
ijassa-1055	201	37	=	=	NOUN
ijassa-1055	201	38	1.4	1.4	NUM
ijassa-1055	201	39	,	,	PUNCT
ijassa-1055	201	40	and	and	CCONJ
ijassa-1055	201	41	the	the	DET
ijassa-1055	201	42	function	function	NOUN
ijassa-1055	201	43	ρ	ρ	PROPN
ijassa-1055	201	44	corresponds	correspond	VERB
ijassa-1055	201	45	to	to	ADP
ijassa-1055	201	46	three	three	NUM
ijassa-1055	201	47	point	point	NOUN
ijassa-1055	201	48	sources	source	NOUN
ijassa-1055	201	49	at	at	ADP
ijassa-1055	201	50	points	point	NOUN
ijassa-1055	201	51	in	in	ADP
ijassa-1055	201	52	the	the	DET
ijassa-1055	201	53	plane	plane	NOUN
ijassa-1055	201	54	π(h	π(h	NOUN
ijassa-1055	201	55	)	)	PUNCT
ijassa-1055	201	56	:	:	PUNCT
ijassa-1055	201	57	(	(	PUNCT
ijassa-1055	201	58	x1	x1	PROPN
ijassa-1055	201	59	,	,	PUNCT
ijassa-1055	201	60	y1	y1	NOUN
ijassa-1055	201	61	)	)	PUNCT
ijassa-1055	201	62	=	=	PUNCT
ijassa-1055	201	63	(	(	PUNCT
ijassa-1055	201	64	8.8	8.8	NUM
ijassa-1055	201	65	)	)	PUNCT
ijassa-1055	201	66	,	,	PUNCT
ijassa-1055	201	67	(	(	PUNCT
ijassa-1055	201	68	x2	x2	NOUN
ijassa-1055	201	69	,	,	PUNCT
ijassa-1055	201	70	y2	y2	NOUN
ijassa-1055	201	71	)	)	PUNCT
ijassa-1055	201	72	=	=	PUNCT
ijassa-1055	202	1	(	(	PUNCT
ijassa-1055	202	2	10.8	10.8	NUM
ijassa-1055	202	3	)	)	PUNCT
ijassa-1055	202	4	,	,	PUNCT
ijassa-1055	202	5	(	(	PUNCT
ijassa-1055	202	6	x3	x3	ADJ
ijassa-1055	202	7	,	,	PUNCT
ijassa-1055	202	8	y3	y3	NOUN
ijassa-1055	202	9	)	)	PUNCT
ijassa-1055	202	10	=	=	PUNCT
ijassa-1055	202	11	(	(	PUNCT
ijassa-1055	202	12	10.10	10.10	NUM
ijassa-1055	202	13	)	)	PUNCT
ijassa-1055	202	14	.	.	PUNCT
ijassa-1055	203	1	the	the	DET
ijassa-1055	203	2	boundary	boundary	ADJ
ijassa-1055	203	3	value	value	NOUN
ijassa-1055	203	4	of	of	ADP
ijassa-1055	203	5	the	the	DET
ijassa-1055	203	6	solution	solution	NOUN
ijassa-1055	203	7	of	of	ADP
ijassa-1055	203	8	the	the	DET
ijassa-1055	203	9	model	model	NOUN
ijassa-1055	203	10	problem	problem	NOUN
ijassa-1055	203	11	(	(	PUNCT
ijassa-1055	203	12	2.3	2.3	NUM
ijassa-1055	203	13	)	)	PUNCT
ijassa-1055	203	14	in	in	ADP
ijassa-1055	203	15	this	this	DET
ijassa-1055	203	16	case	case	NOUN
ijassa-1055	203	17	has	have	VERB
ijassa-1055	203	18	the	the	DET
ijassa-1055	203	19	form	form	NOUN
ijassa-1055	203	20	f(x	f(x	PROPN
ijassa-1055	203	21	,	,	PUNCT
ijassa-1055	203	22	y	y	NOUN
ijassa-1055	203	23	)	)	PUNCT
ijassa-1055	203	24	=	=	VERB
ijassa-1055	204	1	u0	u0	ADJ
ijassa-1055	204	2	+	+	VERB
ijassa-1055	205	1	∞∑	∞∑	NUM
ijassa-1055	205	2	n	n	NOUN
ijassa-1055	205	3	,	,	PUNCT
ijassa-1055	205	4	m=1	m=1	PROPN
ijassa-1055	205	5	3∑	3∑	NOUN
ijassa-1055	205	6	i=1	i=1	PROPN
ijassa-1055	205	7	e−knmh	e−knmh	AUX
ijassa-1055	205	8	knm	knm	PROPN
ijassa-1055	205	9	+	+	CCONJ
ijassa-1055	205	10	h	h	NOUN
ijassa-1055	205	11	sin	sin	NOUN
ijassa-1055	205	12	πnxi	πnxi	NOUN
ijassa-1055	205	13	lx	lx	ADP
ijassa-1055	205	14	sin	sin	NOUN
ijassa-1055	205	15	πmyi	πmyi	VERB
ijassa-1055	205	16	ly	ly	ADP
ijassa-1055	205	17	sin	sin	NOUN
ijassa-1055	205	18	πnx	πnx	NOUN
ijassa-1055	205	19	lx	lx	ADV
ijassa-1055	205	20	sin	sin	VERB
ijassa-1055	205	21	πmy	πmy	X
ijassa-1055	205	22	ly	ly	X
ijassa-1055	205	23	,	,	PUNCT
ijassa-1055	205	24	(	(	PUNCT
ijassa-1055	205	25	5.43	5.43	NUM
ijassa-1055	205	26	)	)	PUNCT
ijassa-1055	205	27	where	where	SCONJ
ijassa-1055	205	28	knm	knm	PROPN
ijassa-1055	205	29	is	be	AUX
ijassa-1055	205	30	calculated	calculate	VERB
ijassa-1055	205	31	using	use	VERB
ijassa-1055	205	32	the	the	DET
ijassa-1055	205	33	formula	formula	NOUN
ijassa-1055	205	34	(	(	PUNCT
ijassa-1055	205	35	3.22	3.22	NUM
ijassa-1055	205	36	)	)	PUNCT
ijassa-1055	205	37	.	.	PUNCT
ijassa-1055	206	1	to	to	PART
ijassa-1055	206	2	set	set	VERB
ijassa-1055	206	3	the	the	DET
ijassa-1055	206	4	inverse	inverse	NOUN
ijassa-1055	206	5	problem	problem	NOUN
ijassa-1055	206	6	(	(	PUNCT
ijassa-1055	206	7	2.7	2.7	NUM
ijassa-1055	206	8	)	)	PUNCT
ijassa-1055	206	9	,	,	PUNCT
ijassa-1055	206	10	we	we	PRON
ijassa-1055	206	11	consider	consider	VERB
ijassa-1055	206	12	that	that	SCONJ
ijassa-1055	206	13	the	the	DET
ijassa-1055	206	14	function	function	NOUN
ijassa-1055	206	15	f	f	PROPN
ijassa-1055	206	16	,	,	PUNCT
ijassa-1055	206	17	calculated	calculate	VERB
ijassa-1055	206	18	by	by	ADP
ijassa-1055	206	19	the	the	DET
ijassa-1055	206	20	formula	formula	NOUN
ijassa-1055	206	21	(	(	PUNCT
ijassa-1055	206	22	5.43	5.43	NUM
ijassa-1055	206	23	)	)	PUNCT
ijassa-1055	206	24	,	,	PUNCT
ijassa-1055	206	25	a	a	DET
ijassa-1055	206	26	known	know	VERB
ijassa-1055	206	27	function	function	NOUN
ijassa-1055	206	28	.	.	PUNCT
ijassa-1055	207	1	also	also	ADV
ijassa-1055	207	2	f1	f1	NOUN
ijassa-1055	207	3	=	=	SYM
ijassa-1055	207	4	u0	u0	ADJ
ijassa-1055	207	5	=	=	NOUN
ijassa-1055	207	6	24	24	NUM
ijassa-1055	207	7	,	,	PUNCT
ijassa-1055	207	8	h	h	NOUN
ijassa-1055	207	9	=	=	NOUN
ijassa-1055	207	10	0.5	0.5	NUM
ijassa-1055	207	11	,	,	PUNCT
ijassa-1055	207	12	lx	lx	ADP
ijassa-1055	207	13	=	=	SYM
ijassa-1055	207	14	30	30	NUM
ijassa-1055	207	15	,	,	PUNCT
ijassa-1055	207	16	ly	ly	X
ijassa-1055	207	17	=	=	SYM
ijassa-1055	207	18	30	30	NUM
ijassa-1055	207	19	,	,	PUNCT
ijassa-1055	207	20	h	h	NOUN
ijassa-1055	207	21	=	=	SYM
ijassa-1055	207	22	1.4	1.4	NUM
ijassa-1055	207	23	are	be	AUX
ijassa-1055	207	24	known	know	VERB
ijassa-1055	207	25	.	.	PUNCT
ijassa-1055	208	1	copyright	copyright	NOUN
ijassa-1055	208	2	c	c	ADP
ijassa-1055	208	3	©	©	PROPN
ijassa-1055	208	4	2021	2021	NUM
ijassa-1055	208	5	assa	assa	NOUN
ijassa-1055	208	6	.	.	PUNCT
ijassa-1055	209	1	adv	adv	PROPN
ijassa-1055	209	2	syst	syst	PROPN
ijassa-1055	209	3	sci	sci	PROPN
ijassa-1055	209	4	appl	appl	PROPN
ijassa-1055	209	5	(	(	PUNCT
ijassa-1055	209	6	2021	2021	NUM
ijassa-1055	209	7	)	)	PUNCT
ijassa-1055	209	8	148	148	NUM
ijassa-1055	209	9	e.	e.	NOUN
ijassa-1055	209	10	laneev	laneev	PROPN
ijassa-1055	209	11	,	,	PUNCT
ijassa-1055	209	12	n.	n.	NOUN
ijassa-1055	209	13	chernikova	chernikova	PROPN
ijassa-1055	209	14	,	,	PUNCT
ijassa-1055	209	15	o.	o.	PROPN
ijassa-1055	209	16	baaj	baaj	PROPN
ijassa-1055	209	17	fig	fig	NOUN
ijassa-1055	209	18	.	.	PUNCT
ijassa-1055	210	1	5.1	5.1	NUM
ijassa-1055	210	2	.	.	PUNCT
ijassa-1055	211	1	the	the	DET
ijassa-1055	211	2	initial	initial	ADJ
ijassa-1055	211	3	data	datum	NOUN
ijassa-1055	211	4	of	of	ADP
ijassa-1055	211	5	the	the	DET
ijassa-1055	211	6	inverse	inverse	NOUN
ijassa-1055	211	7	problem	problem	NOUN
ijassa-1055	211	8	(	(	PUNCT
ijassa-1055	211	9	initial	initial	ADJ
ijassa-1055	211	10	thermogram	thermogram	NOUN
ijassa-1055	211	11	)	)	PUNCT
ijassa-1055	211	12	fig	fig	NOUN
ijassa-1055	211	13	.	.	PUNCT
ijassa-1055	212	1	5.2	5.2	NUM
ijassa-1055	212	2	.	.	PUNCT
ijassa-1055	213	1	the	the	DET
ijassa-1055	213	2	result	result	NOUN
ijassa-1055	213	3	of	of	ADP
ijassa-1055	213	4	restoring	restore	VERB
ijassa-1055	213	5	the	the	DET
ijassa-1055	213	6	thermogram	thermogram	NOUN
ijassa-1055	213	7	u|z	u|z	PUNCT
ijassa-1055	213	8	=	=	ADJ
ijassa-1055	213	9	h	h	NOUN
ijassa-1055	213	10	to	to	PART
ijassa-1055	213	11	solve	solve	VERB
ijassa-1055	213	12	the	the	DET
ijassa-1055	213	13	inverse	inverse	NOUN
ijassa-1055	213	14	problem	problem	NOUN
ijassa-1055	213	15	(	(	PUNCT
ijassa-1055	213	16	2.7	2.7	NUM
ijassa-1055	213	17	)	)	PUNCT
ijassa-1055	213	18	,	,	PUNCT
ijassa-1055	213	19	we	we	PRON
ijassa-1055	213	20	use	use	VERB
ijassa-1055	213	21	the	the	DET
ijassa-1055	213	22	formulas	formula	NOUN
ijassa-1055	213	23	(	(	PUNCT
ijassa-1055	213	24	4.36	4.36	NUM
ijassa-1055	213	25	)	)	PUNCT
ijassa-1055	213	26	,	,	PUNCT
ijassa-1055	213	27	(	(	PUNCT
ijassa-1055	213	28	4.35	4.35	NUM
ijassa-1055	213	29	)	)	PUNCT
ijassa-1055	213	30	,	,	PUNCT
ijassa-1055	213	31	(	(	PUNCT
ijassa-1055	213	32	4.34	4.34	NUM
ijassa-1055	213	33	)	)	PUNCT
ijassa-1055	213	34	,	,	PUNCT
ijassa-1055	213	35	(	(	PUNCT
ijassa-1055	213	36	4.31	4.31	NUM
ijassa-1055	213	37	)	)	PUNCT
ijassa-1055	213	38	.	.	PUNCT
ijassa-1055	214	1	in	in	ADP
ijassa-1055	214	2	the	the	DET
ijassa-1055	214	3	formula	formula	NOUN
ijassa-1055	214	4	(	(	PUNCT
ijassa-1055	214	5	4.31	4.31	NUM
ijassa-1055	214	6	)	)	PUNCT
ijassa-1055	214	7	we	we	PRON
ijassa-1055	214	8	use	use	VERB
ijassa-1055	214	9	the	the	DET
ijassa-1055	214	10	representation	representation	NOUN
ijassa-1055	214	11	for	for	ADP
ijassa-1055	214	12	the	the	DET
ijassa-1055	214	13	fundamental	fundamental	ADJ
ijassa-1055	214	14	solution	solution	NOUN
ijassa-1055	214	15	ϕ(m	ϕ(m	PROPN
ijassa-1055	214	16	,	,	PUNCT
ijassa-1055	214	17	p	p	NOUN
ijassa-1055	214	18	)	)	PUNCT
ijassa-1055	214	19	=	=	SYM
ijassa-1055	214	20	2	2	NUM
ijassa-1055	214	21	lxly	lxly	NOUN
ijassa-1055	214	22	∞∑	∞∑	NUM
ijassa-1055	214	23	n	n	CCONJ
ijassa-1055	214	24	,	,	PUNCT
ijassa-1055	214	25	m=1	m=1	PROPN
ijassa-1055	214	26	e−knm|zm−zp	e−knm|zm−zp	X
ijassa-1055	214	27	|	|	ADV
ijassa-1055	214	28	knm	knm	VERB
ijassa-1055	214	29	sin	sin	NOUN
ijassa-1055	214	30	πnxm	πnxm	NOUN
ijassa-1055	214	31	lx	lx	ADP
ijassa-1055	214	32	sin	sin	NOUN
ijassa-1055	214	33	πmym	πmym	ADJ
ijassa-1055	214	34	ly	ly	ADP
ijassa-1055	214	35	sin	sin	NOUN
ijassa-1055	214	36	πnxp	πnxp	NOUN
ijassa-1055	214	37	lx	lx	ADP
ijassa-1055	214	38	sin	sin	NOUN
ijassa-1055	214	39	πmyp	πmyp	NOUN
ijassa-1055	214	40	ly	ly	X
ijassa-1055	214	41	(	(	PUNCT
ijassa-1055	214	42	5.44	5.44	NUM
ijassa-1055	214	43	)	)	PUNCT
ijassa-1055	214	44	when	when	SCONJ
ijassa-1055	214	45	zm	zm	PROPN
ijassa-1055	214	46	=	=	SYM
ijassa-1055	214	47	a	a	PROPN
ijassa-1055	214	48	,	,	PUNCT
ijassa-1055	214	49	zp	zp	PROPN
ijassa-1055	214	50	=	=	NOUN
ijassa-1055	214	51	0	0	PROPN
ijassa-1055	214	52	.	.	PUNCT
ijassa-1055	215	1	the	the	DET
ijassa-1055	215	2	fourier	fourier	ADJ
ijassa-1055	215	3	coefficients	coefficient	NOUN
ijassa-1055	215	4	in	in	ADP
ijassa-1055	215	5	the	the	DET
ijassa-1055	215	6	formula	formula	NOUN
ijassa-1055	215	7	(	(	PUNCT
ijassa-1055	215	8	4.34	4.34	NUM
ijassa-1055	215	9	)	)	PUNCT
ijassa-1055	215	10	are	be	AUX
ijassa-1055	215	11	calculated	calculate	VERB
ijassa-1055	215	12	without	without	ADP
ijassa-1055	215	13	calculating	calculate	VERB
ijassa-1055	215	14	the	the	DET
ijassa-1055	215	15	function	function	NOUN
ijassa-1055	215	16	φ	φ	NOUN
ijassa-1055	215	17	,	,	PUNCT
ijassa-1055	215	18	similarly	similarly	ADV
ijassa-1055	215	19	to	to	ADP
ijassa-1055	215	20	[	[	X
ijassa-1055	215	21	8	8	NUM
ijassa-1055	215	22	]	]	PUNCT
ijassa-1055	215	23	.	.	PUNCT
ijassa-1055	216	1	when	when	SCONJ
ijassa-1055	216	2	using	use	VERB
ijassa-1055	216	3	the	the	DET
ijassa-1055	216	4	formula	formula	NOUN
ijassa-1055	216	5	(	(	PUNCT
ijassa-1055	216	6	4.34	4.34	NUM
ijassa-1055	216	7	)	)	PUNCT
ijassa-1055	216	8	,	,	PUNCT
ijassa-1055	216	9	integration	integration	NOUN
ijassa-1055	216	10	is	be	AUX
ijassa-1055	216	11	performed	perform	VERB
ijassa-1055	216	12	under	under	ADP
ijassa-1055	216	13	the	the	DET
ijassa-1055	216	14	sign	sign	NOUN
ijassa-1055	216	15	of	of	ADP
ijassa-1055	216	16	the	the	DET
ijassa-1055	216	17	integral	integral	ADJ
ijassa-1055	216	18	in	in	ADP
ijassa-1055	216	19	(	(	PUNCT
ijassa-1055	216	20	4.31	4.31	NUM
ijassa-1055	216	21	)	)	PUNCT
ijassa-1055	216	22	and	and	CCONJ
ijassa-1055	216	23	under	under	ADP
ijassa-1055	216	24	the	the	DET
ijassa-1055	216	25	sign	sign	NOUN
ijassa-1055	216	26	of	of	ADP
ijassa-1055	216	27	the	the	DET
ijassa-1055	216	28	sum	sum	NOUN
ijassa-1055	216	29	in	in	ADP
ijassa-1055	216	30	(	(	PUNCT
ijassa-1055	216	31	5.44	5.44	NUM
ijassa-1055	216	32	)	)	PUNCT
ijassa-1055	216	33	.	.	PUNCT
ijassa-1055	217	1	taking	take	VERB
ijassa-1055	217	2	into	into	ADP
ijassa-1055	217	3	account	account	NOUN
ijassa-1055	217	4	the	the	DET
ijassa-1055	217	5	orthogonality	orthogonality	NOUN
ijassa-1055	217	6	of	of	ADP
ijassa-1055	217	7	the	the	DET
ijassa-1055	217	8	system	system	NOUN
ijassa-1055	217	9	of	of	ADP
ijassa-1055	217	10	functions	function	NOUN
ijassa-1055	217	11	(	(	PUNCT
ijassa-1055	217	12	3.25	3.25	NUM
ijassa-1055	217	13	)	)	PUNCT
ijassa-1055	217	14	,	,	PUNCT
ijassa-1055	217	15	the	the	DET
ijassa-1055	217	16	calculation	calculation	NOUN
ijassa-1055	217	17	formulas	formula	VERB
ijassa-1055	217	18	for	for	ADP
ijassa-1055	217	19	calculating	calculate	VERB
ijassa-1055	217	20	the	the	DET
ijassa-1055	217	21	fourier	fourier	NOUN
ijassa-1055	217	22	coefficients	coefficient	NOUN
ijassa-1055	217	23	φnm	φnm	NOUN
ijassa-1055	217	24	are	be	AUX
ijassa-1055	217	25	significantly	significantly	ADV
ijassa-1055	217	26	simplified	simplified	ADJ
ijassa-1055	217	27	.	.	PUNCT
ijassa-1055	218	1	to	to	PART
ijassa-1055	218	2	obtain	obtain	VERB
ijassa-1055	218	3	a	a	DET
ijassa-1055	218	4	numerical	numerical	ADJ
ijassa-1055	218	5	result	result	NOUN
ijassa-1055	218	6	,	,	PUNCT
ijassa-1055	218	7	the	the	DET
ijassa-1055	218	8	problems	problem	NOUN
ijassa-1055	218	9	(	(	PUNCT
ijassa-1055	218	10	2.3	2.3	NUM
ijassa-1055	218	11	)	)	PUNCT
ijassa-1055	218	12	,	,	PUNCT
ijassa-1055	218	13	(	(	PUNCT
ijassa-1055	218	14	2.7	2.7	NUM
ijassa-1055	218	15	)	)	PUNCT
ijassa-1055	218	16	are	be	AUX
ijassa-1055	218	17	discretized	discretize	VERB
ijassa-1055	218	18	.	.	PUNCT
ijassa-1055	219	1	a	a	DET
ijassa-1055	219	2	uniform	uniform	ADJ
ijassa-1055	219	3	grid	grid	NOUN
ijassa-1055	219	4	of	of	ADP
ijassa-1055	219	5	91x91	91x91	NUM
ijassa-1055	219	6	points	point	NOUN
ijassa-1055	219	7	is	be	AUX
ijassa-1055	219	8	introduced	introduce	VERB
ijassa-1055	219	9	on	on	ADP
ijassa-1055	219	10	the	the	DET
ijassa-1055	219	11	rectangles	rectangle	NOUN
ijassa-1055	219	12	π(a	π(a	PROPN
ijassa-1055	219	13	)	)	PUNCT
ijassa-1055	219	14	,	,	PUNCT
ijassa-1055	219	15	a	a	DET
ijassa-1055	219	16	=	=	X
ijassa-1055	219	17	−0.5	−0.5	PROPN
ijassa-1055	219	18	and	and	CCONJ
ijassa-1055	219	19	π(h	π(h	NOUN
ijassa-1055	219	20	)	)	PUNCT
ijassa-1055	219	21	.	.	PUNCT
ijassa-1055	220	1	the	the	DET
ijassa-1055	220	2	hamming	hamming	ADJ
ijassa-1055	220	3	algorithm	algorithm	NOUN
ijassa-1055	220	4	[	[	X
ijassa-1055	220	5	9	9	NUM
ijassa-1055	220	6	,	,	PUNCT
ijassa-1055	220	7	p.83	p.83	PROPN
ijassa-1055	220	8	]	]	X
ijassa-1055	220	9	is	be	AUX
ijassa-1055	220	10	used	use	VERB
ijassa-1055	220	11	to	to	PART
ijassa-1055	220	12	sum	sum	VERB
ijassa-1055	220	13	discrete	discrete	ADJ
ijassa-1055	220	14	fourier	fourier	NOUN
ijassa-1055	220	15	series	series	NOUN
ijassa-1055	220	16	.	.	PUNCT
ijassa-1055	221	1	the	the	DET
ijassa-1055	221	2	calculation	calculation	NOUN
ijassa-1055	221	3	results	result	NOUN
ijassa-1055	221	4	are	be	AUX
ijassa-1055	221	5	shown	show	VERB
ijassa-1055	221	6	in	in	ADP
ijassa-1055	221	7	fig.5.1	fig.5.1	PROPN
ijassa-1055	221	8	and	and	CCONJ
ijassa-1055	221	9	fig.5.2	fig.5.2	NOUN
ijassa-1055	221	10	.	.	PUNCT
ijassa-1055	222	1	fig.5.1	fig.5.1	PROPN
ijassa-1055	222	2	shows	show	VERB
ijassa-1055	222	3	the	the	DET
ijassa-1055	222	4	initial	initial	ADJ
ijassa-1055	222	5	data	datum	NOUN
ijassa-1055	222	6	of	of	ADP
ijassa-1055	222	7	the	the	DET
ijassa-1055	222	8	inverse	inverse	NOUN
ijassa-1055	222	9	problem	problem	NOUN
ijassa-1055	222	10	–	–	PUNCT
ijassa-1055	222	11	the	the	DET
ijassa-1055	222	12	function	function	NOUN
ijassa-1055	222	13	f	f	PROPN
ijassa-1055	222	14	calculated	calculate	VERB
ijassa-1055	222	15	from	from	ADP
ijassa-1055	222	16	the	the	DET
ijassa-1055	222	17	discrete	discrete	ADJ
ijassa-1055	222	18	analog	analog	NOUN
ijassa-1055	222	19	of	of	ADP
ijassa-1055	222	20	the	the	DET
ijassa-1055	222	21	formula	formula	NOUN
ijassa-1055	222	22	(	(	PUNCT
ijassa-1055	222	23	5.43	5.43	NUM
ijassa-1055	222	24	)	)	PUNCT
ijassa-1055	222	25	.	.	PUNCT
ijassa-1055	223	1	the	the	DET
ijassa-1055	223	2	relative	relative	ADJ
ijassa-1055	223	3	magnitude	magnitude	NOUN
ijassa-1055	223	4	of	of	ADP
ijassa-1055	223	5	the	the	DET
ijassa-1055	223	6	added	add	VERB
ijassa-1055	223	7	error	error	NOUN
ijassa-1055	223	8	is	be	AUX
ijassa-1055	223	9	0.28	0.28	NUM
ijassa-1055	223	10	%	%	NOUN
ijassa-1055	223	11	.	.	PUNCT
ijassa-1055	224	1	the	the	DET
ijassa-1055	224	2	three	three	NUM
ijassa-1055	224	3	sources	source	NOUN
ijassa-1055	224	4	are	be	AUX
ijassa-1055	224	5	perceived	perceive	VERB
ijassa-1055	224	6	as	as	ADP
ijassa-1055	224	7	a	a	DET
ijassa-1055	224	8	single	single	ADJ
ijassa-1055	224	9	whole	whole	NOUN
ijassa-1055	224	10	.	.	PUNCT
ijassa-1055	225	1	fig.5.2	fig.5.2	NOUN
ijassa-1055	225	2	shows	show	VERB
ijassa-1055	225	3	the	the	DET
ijassa-1055	225	4	result	result	NOUN
ijassa-1055	225	5	of	of	ADP
ijassa-1055	225	6	restoring	restore	VERB
ijassa-1055	225	7	the	the	DET
ijassa-1055	225	8	u|z	u|z	NOUN
ijassa-1055	225	9	=	=	ADJ
ijassa-1055	225	10	h	h	NOUN
ijassa-1055	225	11	function	function	NOUN
ijassa-1055	225	12	using	use	VERB
ijassa-1055	225	13	the	the	DET
ijassa-1055	225	14	formulas	formula	NOUN
ijassa-1055	225	15	(	(	PUNCT
ijassa-1055	225	16	4.36	4.36	NUM
ijassa-1055	225	17	)	)	PUNCT
ijassa-1055	225	18	,	,	PUNCT
ijassa-1055	225	19	(	(	PUNCT
ijassa-1055	225	20	4.35	4.35	NUM
ijassa-1055	225	21	)	)	PUNCT
ijassa-1055	225	22	,	,	PUNCT
ijassa-1055	225	23	(	(	PUNCT
ijassa-1055	225	24	4.34	4.34	NUM
ijassa-1055	225	25	)	)	PUNCT
ijassa-1055	225	26	,	,	PUNCT
ijassa-1055	225	27	(	(	PUNCT
ijassa-1055	225	28	4.31	4.31	NUM
ijassa-1055	225	29	)	)	PUNCT
ijassa-1055	225	30	.	.	PUNCT
ijassa-1055	226	1	three	three	NUM
ijassa-1055	226	2	sources	source	NOUN
ijassa-1055	226	3	are	be	AUX
ijassa-1055	226	4	clearly	clearly	ADV
ijassa-1055	226	5	visible	visible	ADJ
ijassa-1055	226	6	.	.	PUNCT
ijassa-1055	227	1	regularization	regularization	NOUN
ijassa-1055	227	2	parameter	parameter	NOUN
ijassa-1055	227	3	α	α	NOUN
ijassa-1055	227	4	=	=	SYM
ijassa-1055	227	5	10−8	10−8	NUM
ijassa-1055	227	6	.	.	PUNCT
ijassa-1055	228	1	with	with	ADP
ijassa-1055	228	2	the	the	DET
ijassa-1055	228	3	regularization	regularization	NOUN
ijassa-1055	228	4	parameter	parameter	NOUN
ijassa-1055	228	5	α	α	NOUN
ijassa-1055	228	6	=	=	SYM
ijassa-1055	228	7	0	0	PROPN
ijassa-1055	228	8	,	,	PUNCT
ijassa-1055	228	9	the	the	DET
ijassa-1055	228	10	solution	solution	NOUN
ijassa-1055	228	11	is	be	AUX
ijassa-1055	228	12	destroyed	destroy	VERB
ijassa-1055	228	13	.	.	PUNCT
ijassa-1055	229	1	copyright	copyright	NOUN
ijassa-1055	229	2	c	c	ADP
ijassa-1055	229	3	©	©	PROPN
ijassa-1055	229	4	2021	2021	NUM
ijassa-1055	229	5	assa	assa	NOUN
ijassa-1055	229	6	.	.	PUNCT
ijassa-1055	230	1	adv	adv	PROPN
ijassa-1055	230	2	syst	syst	PROPN
ijassa-1055	230	3	sci	sci	PROPN
ijassa-1055	230	4	appl	appl	PROPN
ijassa-1055	230	5	(	(	PUNCT
ijassa-1055	230	6	2021	2021	NUM
ijassa-1055	230	7	)	)	PUNCT
ijassa-1055	230	8	application	application	NOUN
ijassa-1055	230	9	of	of	ADP
ijassa-1055	230	10	the	the	DET
ijassa-1055	230	11	minimum	minimum	ADJ
ijassa-1055	230	12	principle	principle	NOUN
ijassa-1055	230	13	...	...	PUNCT
ijassa-1055	230	14	149	149	NUM
ijassa-1055	230	15	6	6	NUM
ijassa-1055	230	16	.	.	PUNCT
ijassa-1055	230	17	conclusion	conclusion	VERB
ijassa-1055	230	18	the	the	DET
ijassa-1055	230	19	inverse	inverse	NOUN
ijassa-1055	230	20	problem	problem	NOUN
ijassa-1055	230	21	(	(	PUNCT
ijassa-1055	230	22	2.7	2.7	NUM
ijassa-1055	230	23	)	)	PUNCT
ijassa-1055	230	24	and	and	CCONJ
ijassa-1055	230	25	its	its	PRON
ijassa-1055	230	26	stable	stable	ADJ
ijassa-1055	230	27	solution	solution	NOUN
ijassa-1055	230	28	can	can	AUX
ijassa-1055	230	29	be	be	AUX
ijassa-1055	230	30	used	use	VERB
ijassa-1055	230	31	for	for	ADP
ijassa-1055	230	32	mathematical	mathematical	ADJ
ijassa-1055	230	33	processing	processing	NOUN
ijassa-1055	230	34	of	of	ADP
ijassa-1055	230	35	thermograms	thermogram	NOUN
ijassa-1055	230	36	,	,	PUNCT
ijassa-1055	230	37	in	in	ADP
ijassa-1055	230	38	particular	particular	ADJ
ijassa-1055	230	39	,	,	PUNCT
ijassa-1055	230	40	in	in	ADP
ijassa-1055	230	41	medicine	medicine	NOUN
ijassa-1055	231	1	[	[	X
ijassa-1055	231	2	1	1	NUM
ijassa-1055	231	3	]	]	PUNCT
ijassa-1055	231	4	,	,	PUNCT
ijassa-1055	231	5	in	in	ADP
ijassa-1055	231	6	order	order	NOUN
ijassa-1055	231	7	to	to	PART
ijassa-1055	231	8	correct	correct	VERB
ijassa-1055	231	9	the	the	DET
ijassa-1055	231	10	image	image	NOUN
ijassa-1055	231	11	.	.	PUNCT
ijassa-1055	232	1	as	as	SCONJ
ijassa-1055	232	2	already	already	ADV
ijassa-1055	232	3	mentioned	mention	VERB
ijassa-1055	232	4	,	,	PUNCT
ijassa-1055	232	5	a	a	DET
ijassa-1055	232	6	thermogram	thermogram	NOUN
ijassa-1055	232	7	obtained	obtain	VERB
ijassa-1055	232	8	using	use	VERB
ijassa-1055	232	9	a	a	DET
ijassa-1055	232	10	thermal	thermal	ADJ
ijassa-1055	232	11	imager	imager	NOUN
ijassa-1055	232	12	transmits	transmit	VERB
ijassa-1055	232	13	an	an	DET
ijassa-1055	232	14	image	image	NOUN
ijassa-1055	232	15	of	of	ADP
ijassa-1055	232	16	the	the	DET
ijassa-1055	232	17	structure	structure	NOUN
ijassa-1055	232	18	of	of	ADP
ijassa-1055	232	19	heat	heat	NOUN
ijassa-1055	232	20	sources	source	NOUN
ijassa-1055	232	21	inside	inside	ADP
ijassa-1055	232	22	the	the	DET
ijassa-1055	232	23	body	body	NOUN
ijassa-1055	232	24	approximately	approximately	ADV
ijassa-1055	232	25	.	.	PUNCT
ijassa-1055	233	1	refinement	refinement	NOUN
ijassa-1055	233	2	of	of	ADP
ijassa-1055	233	3	the	the	DET
ijassa-1055	233	4	image	image	NOUN
ijassa-1055	233	5	on	on	ADP
ijassa-1055	233	6	the	the	DET
ijassa-1055	233	7	thermogram	thermogram	NOUN
ijassa-1055	233	8	can	can	AUX
ijassa-1055	233	9	be	be	AUX
ijassa-1055	233	10	performed	perform	VERB
ijassa-1055	233	11	within	within	ADP
ijassa-1055	233	12	the	the	DET
ijassa-1055	233	13	framework	framework	NOUN
ijassa-1055	233	14	of	of	ADP
ijassa-1055	233	15	the	the	DET
ijassa-1055	233	16	problem	problem	NOUN
ijassa-1055	233	17	(	(	PUNCT
ijassa-1055	233	18	2.7	2.7	NUM
ijassa-1055	233	19	)	)	PUNCT
ijassa-1055	233	20	.	.	PUNCT
ijassa-1055	234	1	in	in	ADP
ijassa-1055	234	2	this	this	DET
ijassa-1055	234	3	case	case	NOUN
ijassa-1055	234	4	,	,	PUNCT
ijassa-1055	234	5	the	the	DET
ijassa-1055	234	6	f	f	PROPN
ijassa-1055	234	7	function	function	NOUN
ijassa-1055	234	8	will	will	AUX
ijassa-1055	234	9	be	be	AUX
ijassa-1055	234	10	associated	associate	VERB
ijassa-1055	234	11	with	with	ADP
ijassa-1055	234	12	the	the	DET
ijassa-1055	234	13	original	original	ADJ
ijassa-1055	234	14	thermogram	thermogram	NOUN
ijassa-1055	234	15	,	,	PUNCT
ijassa-1055	234	16	and	and	CCONJ
ijassa-1055	234	17	the	the	DET
ijassa-1055	234	18	uh	uh	INTJ
ijassa-1055	234	19	function	function	NOUN
ijassa-1055	234	20	will	will	AUX
ijassa-1055	234	21	be	be	AUX
ijassa-1055	234	22	considered	consider	VERB
ijassa-1055	234	23	as	as	ADP
ijassa-1055	234	24	the	the	DET
ijassa-1055	234	25	result	result	NOUN
ijassa-1055	234	26	of	of	ADP
ijassa-1055	234	27	processing	process	VERB
ijassa-1055	234	28	the	the	DET
ijassa-1055	234	29	thermogram	thermogram	NOUN
ijassa-1055	234	30	.	.	PUNCT
ijassa-1055	235	1	since	since	SCONJ
ijassa-1055	235	2	the	the	DET
ijassa-1055	235	3	function	function	NOUN
ijassa-1055	235	4	u|z	u|z	PUNCT
ijassa-1055	235	5	=	=	ADJ
ijassa-1055	235	6	h	h	NOUN
ijassa-1055	235	7	represents	represent	VERB
ijassa-1055	235	8	the	the	DET
ijassa-1055	235	9	temperature	temperature	NOUN
ijassa-1055	235	10	distribution	distribution	NOUN
ijassa-1055	235	11	on	on	ADP
ijassa-1055	235	12	a	a	DET
ijassa-1055	235	13	plane	plane	NOUN
ijassa-1055	235	14	closer	close	ADJ
ijassa-1055	235	15	to	to	ADP
ijassa-1055	235	16	the	the	DET
ijassa-1055	235	17	heat	heat	NOUN
ijassa-1055	235	18	sources	source	NOUN
ijassa-1055	235	19	under	under	ADP
ijassa-1055	235	20	study	study	NOUN
ijassa-1055	235	21	than	than	ADP
ijassa-1055	235	22	the	the	DET
ijassa-1055	235	23	original	original	ADJ
ijassa-1055	235	24	surface	surface	NOUN
ijassa-1055	235	25	s	s	PART
ijassa-1055	235	26	,	,	PUNCT
ijassa-1055	235	27	we	we	PRON
ijassa-1055	235	28	can	can	AUX
ijassa-1055	235	29	expect	expect	VERB
ijassa-1055	235	30	a	a	DET
ijassa-1055	235	31	more	more	ADV
ijassa-1055	235	32	accurate	accurate	ADJ
ijassa-1055	235	33	reproduction	reproduction	NOUN
ijassa-1055	235	34	of	of	ADP
ijassa-1055	235	35	the	the	DET
ijassa-1055	235	36	source	source	NOUN
ijassa-1055	235	37	image	image	NOUN
ijassa-1055	235	38	on	on	ADP
ijassa-1055	235	39	the	the	DET
ijassa-1055	235	40	calculated	calculated	ADJ
ijassa-1055	235	41	thermogram	thermogram	NOUN
ijassa-1055	235	42	u|z	u|z	PROPN
ijassa-1055	235	43	=	=	ADJ
ijassa-1055	235	44	h	h	NOUN
ijassa-1055	235	45	.	.	PUNCT
ijassa-1055	236	1	the	the	DET
ijassa-1055	236	2	results	result	NOUN
ijassa-1055	236	3	of	of	ADP
ijassa-1055	236	4	calculations	calculation	NOUN
ijassa-1055	236	5	,	,	PUNCT
ijassa-1055	236	6	performed	perform	VERB
ijassa-1055	236	7	on	on	ADP
ijassa-1055	236	8	the	the	DET
ijassa-1055	236	9	model	model	NOUN
ijassa-1055	236	10	example	example	NOUN
ijassa-1055	236	11	,	,	PUNCT
ijassa-1055	236	12	show	show	VERB
ijassa-1055	236	13	the	the	DET
ijassa-1055	236	14	effectiveness	effectiveness	NOUN
ijassa-1055	236	15	of	of	ADP
ijassa-1055	236	16	the	the	DET
ijassa-1055	236	17	proposed	propose	VERB
ijassa-1055	236	18	method	method	NOUN
ijassa-1055	236	19	and	and	CCONJ
ijassa-1055	236	20	algorithm	algorithm	NOUN
ijassa-1055	236	21	based	base	VERB
ijassa-1055	236	22	on	on	ADP
ijassa-1055	236	23	the	the	DET
ijassa-1055	236	24	formulas	formula	NOUN
ijassa-1055	236	25	(	(	PUNCT
ijassa-1055	236	26	4.36	4.36	NUM
ijassa-1055	236	27	)	)	PUNCT
ijassa-1055	236	28	,	,	PUNCT
ijassa-1055	236	29	(	(	PUNCT
ijassa-1055	236	30	4.35	4.35	NUM
ijassa-1055	236	31	)	)	PUNCT
ijassa-1055	236	32	,	,	PUNCT
ijassa-1055	236	33	(	(	PUNCT
ijassa-1055	236	34	4.34	4.34	NUM
ijassa-1055	236	35	)	)	PUNCT
ijassa-1055	236	36	,	,	PUNCT
ijassa-1055	236	37	(	(	PUNCT
ijassa-1055	236	38	4.31	4.31	NUM
ijassa-1055	236	39	)	)	PUNCT
ijassa-1055	236	40	,	,	PUNCT
ijassa-1055	236	41	which	which	PRON
ijassa-1055	236	42	can	can	AUX
ijassa-1055	236	43	be	be	AUX
ijassa-1055	236	44	used	use	VERB
ijassa-1055	236	45	for	for	ADP
ijassa-1055	236	46	processing	process	VERB
ijassa-1055	236	47	thermographic	thermographic	ADJ
ijassa-1055	236	48	images	image	NOUN
ijassa-1055	236	49	.	.	PUNCT
ijassa-1055	237	1	acknowledgements	acknowledgement	NOUN
ijassa-1055	237	2	the	the	DET
ijassa-1055	237	3	research	research	NOUN
ijassa-1055	237	4	is	be	AUX
ijassa-1055	237	5	supported	support	VERB
ijassa-1055	237	6	by	by	ADP
ijassa-1055	237	7	the	the	DET
ijassa-1055	237	8	russian	russian	PROPN
ijassa-1055	237	9	science	science	PROPN
ijassa-1055	237	10	foundation	foundation	PROPN
ijassa-1055	237	11	,	,	PUNCT
ijassa-1055	237	12	project	project	NOUN
ijassa-1055	237	13	n	n	PRON
ijassa-1055	237	14	21	21	NUM
ijassa-1055	237	15	-	-	SYM
ijassa-1055	237	16	11	11	NUM
ijassa-1055	237	17	-	-	PUNCT
ijassa-1055	237	18	00064	00064	NUM
ijassa-1055	237	19	.	.	PUNCT
ijassa-1055	238	1	references	reference	NOUN
ijassa-1055	238	2	1	1	NUM
ijassa-1055	238	3	.	.	PUNCT
ijassa-1055	239	1	ivanitskii	ivanitskii	PROPN
ijassa-1055	239	2	g.r	g.r	PROPN
ijassa-1055	239	3	.	.	PUNCT
ijassa-1055	239	4	(	(	PUNCT
ijassa-1055	239	5	2006	2006	NUM
ijassa-1055	239	6	)	)	PUNCT
ijassa-1055	239	7	.	.	PUNCT
ijassa-1055	240	1	teplovideniye	teplovideniye	NOUN
ijassa-1055	240	2	v	v	ADP
ijassa-1055	240	3	meditsine	meditsine	NOUN
ijassa-1055	241	1	[	[	X
ijassa-1055	241	2	thermovision	thermovision	NOUN
ijassa-1055	241	3	in	in	ADP
ijassa-1055	241	4	medicine	medicine	NOUN
ijassa-1055	241	5	]	]	PUNCT
ijassa-1055	241	6	,	,	PUNCT
ijassa-1055	241	7	vestnik	vestnik	PROPN
ijassa-1055	241	8	ran	run	VERB
ijassa-1055	241	9	,	,	PUNCT
ijassa-1055	241	10	76(1	76(1	PROPN
ijassa-1055	241	11	)	)	PUNCT
ijassa-1055	241	12	,	,	PUNCT
ijassa-1055	241	13	44	44	NUM
ijassa-1055	241	14	-	-	SYM
ijassa-1055	241	15	53	53	NUM
ijassa-1055	241	16	,	,	PUNCT
ijassa-1055	241	17	[	[	X
ijassa-1055	241	18	in	in	ADP
ijassa-1055	241	19	russian	russian	PROPN
ijassa-1055	241	20	]	]	PUNCT
ijassa-1055	241	21	.	.	PUNCT
ijassa-1055	242	1	2	2	X
ijassa-1055	242	2	.	.	X
ijassa-1055	242	3	tihonov	tihonov	PROPN
ijassa-1055	242	4	a.n	a.n	PROPN
ijassa-1055	242	5	.	.	PROPN
ijassa-1055	242	6	,	,	PUNCT
ijassa-1055	242	7	glasko	glasko	ADV
ijassa-1055	242	8	v.b	v.b	PROPN
ijassa-1055	242	9	.	.	PROPN
ijassa-1055	242	10	,	,	PUNCT
ijassa-1055	242	11	litvinenko	litvinenko	PROPN
ijassa-1055	242	12	o.k	o.k	PROPN
ijassa-1055	242	13	.	.	PROPN
ijassa-1055	242	14	&	&	CCONJ
ijassa-1055	242	15	melihov	melihov	PROPN
ijassa-1055	242	16	v.r	v.r	PROPN
ijassa-1055	242	17	.	.	PUNCT
ijassa-1055	242	18	(	(	PUNCT
ijassa-1055	242	19	1968	1968	NUM
ijassa-1055	242	20	)	)	PUNCT
ijassa-1055	242	21	.	.	PUNCT
ijassa-1055	243	1	o	o	X
ijassa-1055	244	1	prodolzhenii	prodolzhenii	PROPN
ijassa-1055	245	1	potentsiala	potentsiala	NOUN
ijassa-1055	245	2	v	v	ADP
ijassa-1055	245	3	storonu	storonu	PROPN
ijassa-1055	245	4	vozmushchayushchih	vozmushchayushchih	NOUN
ijassa-1055	245	5	mass	mass	NOUN
ijassa-1055	245	6	na	na	INTJ
ijassa-1055	245	7	osnove	osnove	PROPN
ijassa-1055	245	8	metoda	metoda	PROPN
ijassa-1055	245	9	regulyarizatsii	regulyarizatsii	PROPN
ijassa-1055	246	1	[	[	X
ijassa-1055	246	2	on	on	ADP
ijassa-1055	246	3	the	the	DET
ijassa-1055	246	4	continuation	continuation	NOUN
ijassa-1055	246	5	of	of	ADP
ijassa-1055	246	6	the	the	DET
ijassa-1055	246	7	potential	potential	NOUN
ijassa-1055	246	8	towards	towards	ADP
ijassa-1055	246	9	disturbing	disturbing	ADJ
ijassa-1055	246	10	masses	masse	NOUN
ijassa-1055	246	11	based	base	VERB
ijassa-1055	246	12	on	on	ADP
ijassa-1055	246	13	the	the	DET
ijassa-1055	246	14	regularization	regularization	NOUN
ijassa-1055	246	15	method	method	NOUN
ijassa-1055	246	16	]	]	PUNCT
ijassa-1055	246	17	,	,	PUNCT
ijassa-1055	246	18	izvestiya	izvestiya	VERB
ijassa-1055	246	19	an	an	DET
ijassa-1055	246	20	sssr	sssr	NOUN
ijassa-1055	246	21	.	.	PUNCT
ijassa-1055	247	1	fizika	fizika	PROPN
ijassa-1055	247	2	zemli	zemli	PROPN
ijassa-1055	247	3	,	,	PUNCT
ijassa-1055	247	4	1	1	NUM
ijassa-1055	247	5	,	,	PUNCT
ijassa-1055	247	6	30	30	NUM
ijassa-1055	247	7	-	-	SYM
ijassa-1055	247	8	48	48	NUM
ijassa-1055	247	9	,	,	PUNCT
ijassa-1055	247	10	[	[	X
ijassa-1055	247	11	in	in	ADP
ijassa-1055	247	12	russian	russian	PROPN
ijassa-1055	247	13	]	]	PUNCT
ijassa-1055	247	14	.	.	PUNCT
ijassa-1055	248	1	3	3	X
ijassa-1055	248	2	.	.	X
ijassa-1055	248	3	tihonov	tihonov	PROPN
ijassa-1055	248	4	a.n	a.n	PROPN
ijassa-1055	248	5	.	.	PROPN
ijassa-1055	248	6	&	&	CCONJ
ijassa-1055	248	7	arsenin	arsenin	PROPN
ijassa-1055	248	8	v.ya	v.ya	PROPN
ijassa-1055	248	9	.	.	PUNCT
ijassa-1055	249	1	(	(	PUNCT
ijassa-1055	249	2	1979	1979	NUM
ijassa-1055	249	3	)	)	PUNCT
ijassa-1055	249	4	.	.	PUNCT
ijassa-1055	250	1	metody	metody	ADJ
ijassa-1055	250	2	resheniya	resheniya	PROPN
ijassa-1055	250	3	nekorrektnyh	nekorrektnyh	NOUN
ijassa-1055	250	4	zadach	zadach	NOUN
ijassa-1055	251	1	[	[	X
ijassa-1055	251	2	methods	method	NOUN
ijassa-1055	251	3	for	for	ADP
ijassa-1055	251	4	solving	solve	VERB
ijassa-1055	251	5	ill	ill	ADV
ijassa-1055	251	6	-	-	PUNCT
ijassa-1055	251	7	posed	pose	VERB
ijassa-1055	251	8	problems	problem	NOUN
ijassa-1055	251	9	]	]	PUNCT
ijassa-1055	251	10	.	.	PUNCT
ijassa-1055	252	1	moscow	moscow	PROPN
ijassa-1055	252	2	,	,	PUNCT
ijassa-1055	252	3	russia	russia	PROPN
ijassa-1055	252	4	:	:	PUNCT
ijassa-1055	252	5	nauka	nauka	PROPN
ijassa-1055	252	6	,	,	PUNCT
ijassa-1055	253	1	[	[	X
ijassa-1055	253	2	in	in	ADP
ijassa-1055	253	3	russian	russian	PROPN
ijassa-1055	253	4	]	]	PUNCT
ijassa-1055	253	5	.	.	PUNCT
ijassa-1055	254	1	4	4	X
ijassa-1055	254	2	.	.	X
ijassa-1055	254	3	arutyunov	arutyunov	PROPN
ijassa-1055	254	4	a.	a.	PROPN
ijassa-1055	254	5	,	,	PUNCT
ijassa-1055	254	6	jacimovic	jacimovic	PROPN
ijassa-1055	254	7	v.	v.	PROPN
ijassa-1055	254	8	&	&	CCONJ
ijassa-1055	254	9	pereira	pereira	PROPN
ijassa-1055	254	10	f.	f.	PROPN
ijassa-1055	254	11	(	(	PUNCT
ijassa-1055	254	12	2003	2003	NUM
ijassa-1055	254	13	)	)	PUNCT
ijassa-1055	254	14	.	.	PUNCT
ijassa-1055	255	1	isecond	isecond	ADJ
ijassa-1055	255	2	order	order	NOUN
ijassa-1055	255	3	necessary	necessary	ADJ
ijassa-1055	255	4	conditions	condition	NOUN
ijassa-1055	255	5	for	for	ADP
ijassa-1055	255	6	optimal	optimal	ADJ
ijassa-1055	255	7	impulsive	impulsive	ADJ
ijassa-1055	255	8	control	control	NOUN
ijassa-1055	255	9	problems	problem	NOUN
ijassa-1055	255	10	,	,	PUNCT
ijassa-1055	255	11	journal	journal	NOUN
ijassa-1055	255	12	on	on	ADP
ijassa-1055	255	13	dynamical	dynamical	ADJ
ijassa-1055	255	14	and	and	CCONJ
ijassa-1055	255	15	control	control	NOUN
ijassa-1055	255	16	systems	system	NOUN
ijassa-1055	255	17	,	,	PUNCT
ijassa-1055	255	18	9(1	9(1	NUM
ijassa-1055	255	19	)	)	PUNCT
ijassa-1055	255	20	,	,	PUNCT
ijassa-1055	255	21	131	131	NUM
ijassa-1055	255	22	-	-	SYM
ijassa-1055	255	23	153	153	NUM
ijassa-1055	255	24	.	.	PUNCT
ijassa-1055	256	1	5	5	NUM
ijassa-1055	256	2	.	.	X
ijassa-1055	256	3	prilepko	prilepko	PROPN
ijassa-1055	256	4	a.i	a.i	PROPN
ijassa-1055	256	5	.	.	PROPN
ijassa-1055	257	1	(	(	PUNCT
ijassa-1055	257	2	1973	1973	NUM
ijassa-1055	257	3	)	)	PUNCT
ijassa-1055	257	4	.	.	PUNCT
ijassa-1055	258	1	inverse	inverse	NOUN
ijassa-1055	258	2	problems	problem	NOUN
ijassa-1055	258	3	of	of	ADP
ijassa-1055	258	4	potential	potential	ADJ
ijassa-1055	258	5	theory	theory	NOUN
ijassa-1055	258	6	(	(	PUNCT
ijassa-1055	258	7	elliptic	elliptic	ADJ
ijassa-1055	258	8	,	,	PUNCT
ijassa-1055	258	9	parabolic	parabolic	ADJ
ijassa-1055	258	10	,	,	PUNCT
ijassa-1055	258	11	hyperbolic	hyperbolic	ADJ
ijassa-1055	258	12	,	,	PUNCT
ijassa-1055	258	13	and	and	CCONJ
ijassa-1055	258	14	transport	transport	NOUN
ijassa-1055	258	15	equations	equation	NOUN
ijassa-1055	258	16	)	)	PUNCT
ijassa-1055	258	17	,	,	PUNCT
ijassa-1055	258	18	math	math	NOUN
ijassa-1055	258	19	.	.	PUNCT
ijassa-1055	259	1	notes	notes	PROPN
ijassa-1055	259	2	,	,	PUNCT
ijassa-1055	259	3	14(5	14(5	NUM
ijassa-1055	259	4	)	)	PUNCT
ijassa-1055	259	5	,	,	PUNCT
ijassa-1055	259	6	990	990	NUM
ijassa-1055	259	7	-	-	SYM
ijassa-1055	259	8	996	996	NUM
ijassa-1055	259	9	.	.	PUNCT
ijassa-1055	260	1	6	6	NUM
ijassa-1055	260	2	.	.	X
ijassa-1055	260	3	laneev	laneev	PROPN
ijassa-1055	260	4	,	,	PUNCT
ijassa-1055	260	5	e.b	e.b	PROPN
ijassa-1055	260	6	.	.	PUNCT
ijassa-1055	261	1	(	(	PUNCT
ijassa-1055	261	2	2018	2018	NUM
ijassa-1055	261	3	)	)	PUNCT
ijassa-1055	261	4	.	.	PUNCT
ijassa-1055	262	1	construction	construction	NOUN
ijassa-1055	262	2	of	of	ADP
ijassa-1055	262	3	a	a	DET
ijassa-1055	262	4	carleman	carleman	ADJ
ijassa-1055	262	5	function	function	NOUN
ijassa-1055	262	6	based	base	VERB
ijassa-1055	262	7	on	on	ADP
ijassa-1055	262	8	the	the	DET
ijassa-1055	262	9	tikhonov	tikhonov	NOUN
ijassa-1055	262	10	regularization	regularization	NOUN
ijassa-1055	262	11	method	method	NOUN
ijassa-1055	262	12	in	in	ADP
ijassa-1055	262	13	an	an	DET
ijassa-1055	262	14	ill	ill	ADV
ijassa-1055	262	15	-	-	PUNCT
ijassa-1055	262	16	posed	pose	VERB
ijassa-1055	262	17	problem	problem	NOUN
ijassa-1055	262	18	for	for	ADP
ijassa-1055	262	19	the	the	DET
ijassa-1055	262	20	laplace	laplace	NOUN
ijassa-1055	262	21	equation	equation	NOUN
ijassa-1055	262	22	,	,	PUNCT
ijassa-1055	262	23	differential	differential	NOUN
ijassa-1055	262	24	equations	equation	NOUN
ijassa-1055	262	25	,	,	PUNCT
ijassa-1055	262	26	54(4	54(4	NUM
ijassa-1055	262	27	)	)	PUNCT
ijassa-1055	262	28	,	,	PUNCT
ijassa-1055	262	29	476–485	476–485	NUM
ijassa-1055	262	30	,	,	PUNCT
ijassa-1055	262	31	https://doi.org/10.1134/s0012266118040055	https://doi.org/10.1134/s0012266118040055	PROPN
ijassa-1055	262	32	7	7	NUM
ijassa-1055	262	33	.	.	PUNCT
ijassa-1055	263	1	chernikova	chernikova	PROPN
ijassa-1055	263	2	n.y	n.y	PROPN
ijassa-1055	263	3	.	.	PROPN
ijassa-1055	263	4	,	,	PUNCT
ijassa-1055	263	5	laneev	laneev	PROPN
ijassa-1055	263	6	e.b	e.b	PROPN
ijassa-1055	263	7	.	.	PROPN
ijassa-1055	263	8	,	,	PUNCT
ijassa-1055	263	9	muratov	muratov	PROPN
ijassa-1055	263	10	m.n	m.n	PROPN
ijassa-1055	263	11	.	.	PROPN
ijassa-1055	263	12	&	&	CCONJ
ijassa-1055	263	13	ponomarenko	ponomarenko	PROPN
ijassa-1055	263	14	e.y	e.y	PROPN
ijassa-1055	263	15	.	.	PROPN
ijassa-1055	263	16	(	(	PUNCT
ijassa-1055	263	17	2020	2020	NUM
ijassa-1055	263	18	)	)	PUNCT
ijassa-1055	263	19	.	.	PUNCT
ijassa-1055	264	1	on	on	ADP
ijassa-1055	264	2	an	an	DET
ijassa-1055	264	3	inverse	inverse	NOUN
ijassa-1055	264	4	problem	problem	NOUN
ijassa-1055	264	5	to	to	ADP
ijassa-1055	264	6	a	a	DET
ijassa-1055	264	7	mixed	mixed	ADJ
ijassa-1055	264	8	problem	problem	NOUN
ijassa-1055	264	9	for	for	ADP
ijassa-1055	264	10	the	the	DET
ijassa-1055	264	11	poisson	poisson	NOUN
ijassa-1055	264	12	equation	equation	NOUN
ijassa-1055	264	13	.	.	PUNCT
ijassa-1055	265	1	in	in	ADP
ijassa-1055	265	2	:	:	PUNCT
ijassa-1055	265	3	pinelas	pinelas	PROPN
ijassa-1055	265	4	s.	s.	PROPN
ijassa-1055	265	5	,	,	PUNCT
ijassa-1055	265	6	kim	kim	PROPN
ijassa-1055	265	7	a.	a.	PROPN
ijassa-1055	265	8	,	,	PUNCT
ijassa-1055	265	9	vlasov	vlasov	PROPN
ijassa-1055	265	10	v.	v.	PROPN
ijassa-1055	265	11	(	(	PUNCT
ijassa-1055	265	12	eds	ed	NOUN
ijassa-1055	265	13	)	)	PUNCT
ijassa-1055	265	14	mathematical	mathematical	ADJ
ijassa-1055	265	15	analysis	analysis	NOUN
ijassa-1055	265	16	with	with	ADP
ijassa-1055	265	17	applications	application	NOUN
ijassa-1055	265	18	.	.	PUNCT
ijassa-1055	266	1	concord-90	concord-90	NOUN
ijassa-1055	266	2	2018	2018	NUM
ijassa-1055	266	3	.	.	PUNCT
ijassa-1055	267	1	springer	springer	NOUN
ijassa-1055	267	2	proceedings	proceeding	NOUN
ijassa-1055	267	3	in	in	ADP
ijassa-1055	267	4	mathematics	mathematics	PROPN
ijassa-1055	267	5	&	&	CCONJ
ijassa-1055	267	6	statistics	statistics	PROPN
ijassa-1055	267	7	,	,	PUNCT
ijassa-1055	267	8	vol	vol	NOUN
ijassa-1055	267	9	.	.	PROPN
ijassa-1055	267	10	318	318	NUM
ijassa-1055	267	11	,	,	PUNCT
ijassa-1055	267	12	pp	pp	ADJ
ijassa-1055	267	13	.	.	PUNCT
ijassa-1055	268	1	141–146	141–146	NUM
ijassa-1055	268	2	.	.	PUNCT
ijassa-1055	268	3	springer	springer	NOUN
ijassa-1055	268	4	,	,	PUNCT
ijassa-1055	268	5	cham	cham	PROPN
ijassa-1055	268	6	.	.	PUNCT
ijassa-1055	269	1	https://doi.org/10.1007/978-3-030-42176-2	https://doi.org/10.1007/978-3-030-42176-2	PROPN
ijassa-1055	269	2	14	14	NUM
ijassa-1055	269	3	8	8	NUM
ijassa-1055	269	4	.	.	PUNCT
ijassa-1055	270	1	laneev	laneev	PROPN
ijassa-1055	270	2	,	,	PUNCT
ijassa-1055	270	3	e.b	e.b	PROPN
ijassa-1055	270	4	.	.	PROPN
ijassa-1055	270	5	,	,	PUNCT
ijassa-1055	270	6	mouratov	mouratov	PROPN
ijassa-1055	270	7	,	,	PUNCT
ijassa-1055	270	8	m.n	m.n	PROPN
ijassa-1055	270	9	.	.	PROPN
ijassa-1055	270	10	&	&	CCONJ
ijassa-1055	270	11	zhidkov	zhidkov	PROPN
ijassa-1055	270	12	,	,	PUNCT
ijassa-1055	270	13	e.p	e.p	PROPN
ijassa-1055	270	14	.	.	PROPN
ijassa-1055	270	15	(	(	PUNCT
ijassa-1055	270	16	2008	2008	NUM
ijassa-1055	270	17	)	)	PUNCT
ijassa-1055	270	18	.	.	PUNCT
ijassa-1055	271	1	discretization	discretization	NOUN
ijassa-1055	271	2	and	and	CCONJ
ijassa-1055	271	3	its	its	PRON
ijassa-1055	271	4	proof	proof	NOUN
ijassa-1055	271	5	for	for	ADP
ijassa-1055	271	6	numerical	numerical	ADJ
ijassa-1055	271	7	solution	solution	NOUN
ijassa-1055	271	8	of	of	ADP
ijassa-1055	271	9	a	a	DET
ijassa-1055	271	10	cauchy	cauchy	ADJ
ijassa-1055	271	11	problem	problem	NOUN
ijassa-1055	271	12	for	for	ADP
ijassa-1055	271	13	laplace	laplace	NOUN
ijassa-1055	271	14	equation	equation	NOUN
ijassa-1055	271	15	with	with	ADP
ijassa-1055	271	16	inaccurately	inaccurately	ADV
ijassa-1055	271	17	given	give	VERB
ijassa-1055	271	18	cauchy	cauchy	ADJ
ijassa-1055	271	19	conditions	condition	NOUN
ijassa-1055	271	20	on	on	ADP
ijassa-1055	271	21	an	an	DET
ijassa-1055	271	22	inaccurately	inaccurately	ADV
ijassa-1055	271	23	defined	define	VERB
ijassa-1055	271	24	arbitrary	arbitrary	ADJ
ijassa-1055	271	25	surface	surface	NOUN
ijassa-1055	271	26	,	,	PUNCT
ijassa-1055	271	27	physics	physics	NOUN
ijassa-1055	271	28	of	of	ADP
ijassa-1055	271	29	particles	particle	NOUN
ijassa-1055	271	30	and	and	CCONJ
ijassa-1055	271	31	nuclei	nucleus	NOUN
ijassa-1055	271	32	letters	letter	NOUN
ijassa-1055	271	33	,	,	PUNCT
ijassa-1055	271	34	5(3	5(3	NUM
ijassa-1055	271	35	)	)	PUNCT
ijassa-1055	271	36	,	,	PUNCT
ijassa-1055	271	37	164–167	164–167	NUM
ijassa-1055	271	38	.	.	PUNCT
ijassa-1055	272	1	9	9	X
ijassa-1055	272	2	.	.	X
ijassa-1055	272	3	hamming	ham	VERB
ijassa-1055	272	4	r.w	r.w	PROPN
ijassa-1055	272	5	.	.	PROPN
ijassa-1055	272	6	(	(	PUNCT
ijassa-1055	272	7	1962	1962	NUM
ijassa-1055	272	8	)	)	PUNCT
ijassa-1055	272	9	.	.	PUNCT
ijassa-1055	273	1	numerical	numerical	ADJ
ijassa-1055	273	2	methods	method	NOUN
ijassa-1055	273	3	for	for	ADP
ijassa-1055	273	4	scientists	scientist	NOUN
ijassa-1055	273	5	and	and	CCONJ
ijassa-1055	273	6	engineers	engineer	NOUN
ijassa-1055	273	7	.	.	PUNCT
ijassa-1055	274	1	new	new	PROPN
ijassa-1055	274	2	york	york	PROPN
ijassa-1055	274	3	,	,	PUNCT
ijassa-1055	274	4	usa	usa	PROPN
ijassa-1055	274	5	:	:	PUNCT
ijassa-1055	274	6	mcgraw	mcgraw	PROPN
ijassa-1055	274	7	-	-	PUNCT
ijassa-1055	274	8	hill	hill	NOUN
ijassa-1055	274	9	book	book	NOUN
ijassa-1055	274	10	company	company	NOUN
ijassa-1055	274	11	.	.	PUNCT
ijassa-1055	275	1	copyright	copyright	NOUN
ijassa-1055	275	2	c	c	ADP
ijassa-1055	275	3	©	©	PROPN
ijassa-1055	275	4	2021	2021	NUM
ijassa-1055	275	5	assa	assa	NOUN
ijassa-1055	275	6	.	.	PUNCT
ijassa-1055	276	1	adv	adv	PROPN
ijassa-1055	276	2	syst	syst	PROPN
ijassa-1055	276	3	sci	sci	PROPN
ijassa-1055	276	4	appl	appl	PROPN
ijassa-1055	276	5	(	(	PUNCT
ijassa-1055	276	6	2021	2021	NUM
ijassa-1055	276	7	)	)	PUNCT
ijassa-1055	276	8	introduction	introduction	NOUN
ijassa-1055	276	9	statement	statement	NOUN
ijassa-1055	276	10	of	of	ADP
ijassa-1055	276	11	the	the	DET
ijassa-1055	276	12	problem	problem	NOUN
ijassa-1055	276	13	exact	exact	ADJ
ijassa-1055	276	14	solution	solution	NOUN
ijassa-1055	276	15	of	of	ADP
ijassa-1055	276	16	the	the	DET
ijassa-1055	276	17	problem	problem	NOUN
ijassa-1055	276	18	approximate	approximate	ADJ
ijassa-1055	276	19	solution	solution	NOUN
ijassa-1055	276	20	of	of	ADP
ijassa-1055	276	21	the	the	DET
ijassa-1055	276	22	problem	problem	NOUN
ijassa-1055	276	23	numerical	numerical	ADJ
ijassa-1055	276	24	solution	solution	NOUN
ijassa-1055	276	25	of	of	ADP
ijassa-1055	276	26	the	the	DET
ijassa-1055	276	27	problem	problem	NOUN
ijassa-1055	276	28	conclusion	conclusion	NOUN