id	sid	tid	token	lemma	pos
ejpam-5197	1	1	european	european	PROPN
ejpam-5197	1	2	journal	journal	PROPN
ejpam-5197	1	3	of	of	ADP
ejpam-5197	1	4	pure	pure	ADJ
ejpam-5197	1	5	and	and	CCONJ
ejpam-5197	1	6	applied	apply	VERB
ejpam-5197	1	7	mathematics	mathematic	NOUN
ejpam-5197	1	8	vol	vol	NOUN
ejpam-5197	1	9	.	.	PROPN
ejpam-5197	2	1	17	17	NUM
ejpam-5197	2	2	,	,	PUNCT
ejpam-5197	2	3	no	no	INTJ
ejpam-5197	2	4	.	.	NOUN
ejpam-5197	2	5	3	3	NUM
ejpam-5197	2	6	,	,	PUNCT
ejpam-5197	2	7	2024	2024	NUM
ejpam-5197	2	8	,	,	PUNCT
ejpam-5197	2	9	1565	1565	NUM
ejpam-5197	2	10	-	-	SYM
ejpam-5197	2	11	1584	1584	NUM
ejpam-5197	2	12	issn	issn	PROPN
ejpam-5197	2	13	1307	1307	NUM
ejpam-5197	2	14	-	-	SYM
ejpam-5197	2	15	5543	5543	NUM
ejpam-5197	2	16	–	–	PUNCT
ejpam-5197	3	1	ejpam.com	ejpam.com	X
ejpam-5197	3	2	published	publish	VERB
ejpam-5197	3	3	by	by	ADP
ejpam-5197	3	4	new	new	PROPN
ejpam-5197	3	5	york	york	PROPN
ejpam-5197	3	6	business	business	PROPN
ejpam-5197	3	7	global	global	PROPN
ejpam-5197	3	8	an	an	DET
ejpam-5197	3	9	efficient	efficient	ADJ
ejpam-5197	3	10	convergent	convergent	NOUN
ejpam-5197	3	11	approach	approach	NOUN
ejpam-5197	3	12	for	for	ADP
ejpam-5197	3	13	difference	difference	NOUN
ejpam-5197	3	14	delayed	delay	VERB
ejpam-5197	3	15	reaction	reaction	NOUN
ejpam-5197	3	16	-	-	PUNCT
ejpam-5197	3	17	diffusion	diffusion	NOUN
ejpam-5197	3	18	equations	equation	NOUN
ejpam-5197	3	19	m.	m.	NOUN
ejpam-5197	3	20	heidari1	heidari1	PROPN
ejpam-5197	3	21	,	,	PUNCT
ejpam-5197	3	22	m.	m.	NOUN
ejpam-5197	3	23	ghovatmand1,∗	ghovatmand1,∗	PROPN
ejpam-5197	3	24	,	,	PUNCT
ejpam-5197	3	25	m.	m.	PROPN
ejpam-5197	3	26	h.	h.	PROPN
ejpam-5197	3	27	noori	noori	PROPN
ejpam-5197	3	28	skandari1	skandari1	PROPN
ejpam-5197	3	29	,	,	PUNCT
ejpam-5197	3	30	d.	d.	PROPN
ejpam-5197	3	31	baleanu2	baleanu2	PROPN
ejpam-5197	3	32	1	1	NUM
ejpam-5197	3	33	faculty	faculty	NOUN
ejpam-5197	3	34	of	of	ADP
ejpam-5197	3	35	mathematical	mathematical	ADJ
ejpam-5197	3	36	sciences	science	NOUN
ejpam-5197	3	37	,	,	PUNCT
ejpam-5197	3	38	shahrood	shahrood	NOUN
ejpam-5197	3	39	university	university	PROPN
ejpam-5197	3	40	of	of	ADP
ejpam-5197	3	41	technology	technology	NOUN
ejpam-5197	3	42	,	,	PUNCT
ejpam-5197	3	43	shahrood	shahrood	NOUN
ejpam-5197	3	44	,	,	PUNCT
ejpam-5197	3	45	iran	iran	PROPN
ejpam-5197	3	46	2	2	NUM
ejpam-5197	3	47	department	department	NOUN
ejpam-5197	3	48	of	of	ADP
ejpam-5197	3	49	computer	computer	NOUN
ejpam-5197	3	50	science	science	NOUN
ejpam-5197	3	51	and	and	CCONJ
ejpam-5197	3	52	mathematics	mathematic	NOUN
ejpam-5197	3	53	,	,	PUNCT
ejpam-5197	3	54	lebanese	lebanese	ADJ
ejpam-5197	3	55	american	american	PROPN
ejpam-5197	3	56	university	university	PROPN
ejpam-5197	3	57	,	,	PUNCT
ejpam-5197	3	58	beirut	beirut	PROPN
ejpam-5197	3	59	,	,	PUNCT
ejpam-5197	3	60	lebanon	lebanon	PROPN
ejpam-5197	3	61	abstract	abstract	NOUN
ejpam-5197	3	62	.	.	PUNCT
ejpam-5197	4	1	it	it	PRON
ejpam-5197	4	2	is	be	AUX
ejpam-5197	4	3	usually	usually	ADV
ejpam-5197	4	4	not	not	PART
ejpam-5197	4	5	possible	possible	ADJ
ejpam-5197	4	6	to	to	PART
ejpam-5197	4	7	solve	solve	VERB
ejpam-5197	4	8	partial	partial	ADJ
ejpam-5197	4	9	differential	differential	NOUN
ejpam-5197	4	10	equations	equation	NOUN
ejpam-5197	4	11	,	,	PUNCT
ejpam-5197	4	12	especially	especially	ADV
ejpam-5197	4	13	the	the	DET
ejpam-5197	4	14	delay	delay	NOUN
ejpam-5197	4	15	type	type	NOUN
ejpam-5197	4	16	,	,	PUNCT
ejpam-5197	4	17	with	with	ADP
ejpam-5197	4	18	analytical	analytical	ADJ
ejpam-5197	4	19	methods	method	NOUN
ejpam-5197	4	20	.	.	PUNCT
ejpam-5197	5	1	therefore	therefore	ADV
ejpam-5197	5	2	,	,	PUNCT
ejpam-5197	5	3	in	in	ADP
ejpam-5197	5	4	this	this	DET
ejpam-5197	5	5	article	article	NOUN
ejpam-5197	5	6	,	,	PUNCT
ejpam-5197	5	7	we	we	PRON
ejpam-5197	5	8	present	present	VERB
ejpam-5197	5	9	an	an	DET
ejpam-5197	5	10	efficient	efficient	ADJ
ejpam-5197	5	11	method	method	NOUN
ejpam-5197	5	12	for	for	ADP
ejpam-5197	5	13	solving	solve	VERB
ejpam-5197	5	14	differential	differential	ADJ
ejpam-5197	5	15	equations	equation	NOUN
ejpam-5197	5	16	of	of	ADP
ejpam-5197	5	17	the	the	DET
ejpam-5197	5	18	difference	difference	NOUN
ejpam-5197	5	19	delayed	delay	VERB
ejpam-5197	5	20	reaction	reaction	NOUN
ejpam-5197	5	21	-	-	PUNCT
ejpam-5197	5	22	diffusion	diffusion	NOUN
ejpam-5197	5	23	type	type	NOUN
ejpam-5197	5	24	,	,	PUNCT
ejpam-5197	5	25	which	which	PRON
ejpam-5197	5	26	can	can	AUX
ejpam-5197	5	27	be	be	AUX
ejpam-5197	5	28	generalized	generalize	VERB
ejpam-5197	5	29	to	to	ADP
ejpam-5197	5	30	other	other	ADJ
ejpam-5197	5	31	delayed	delay	VERB
ejpam-5197	5	32	partial	partial	ADJ
ejpam-5197	5	33	differential	differential	NOUN
ejpam-5197	5	34	equations	equation	NOUN
ejpam-5197	5	35	.	.	PUNCT
ejpam-5197	6	1	in	in	ADP
ejpam-5197	6	2	the	the	DET
ejpam-5197	6	3	proposed	propose	VERB
ejpam-5197	6	4	approach	approach	NOUN
ejpam-5197	6	5	,	,	PUNCT
ejpam-5197	6	6	we	we	PRON
ejpam-5197	6	7	first	first	ADV
ejpam-5197	6	8	convert	convert	VERB
ejpam-5197	6	9	the	the	DET
ejpam-5197	6	10	delayed	delay	VERB
ejpam-5197	6	11	equation	equation	NOUN
ejpam-5197	6	12	into	into	ADP
ejpam-5197	6	13	an	an	DET
ejpam-5197	6	14	equivalent	equivalent	ADJ
ejpam-5197	6	15	non	non	ADJ
ejpam-5197	6	16	-	-	ADJ
ejpam-5197	6	17	delayed	delayed	ADJ
ejpam-5197	6	18	equation	equation	NOUN
ejpam-5197	6	19	by	by	ADP
ejpam-5197	6	20	inserting	insert	VERB
ejpam-5197	6	21	the	the	DET
ejpam-5197	6	22	corresponding	correspond	VERB
ejpam-5197	6	23	delay	delay	NOUN
ejpam-5197	6	24	function	function	VERB
ejpam-5197	6	25	with	with	ADP
ejpam-5197	6	26	an	an	DET
ejpam-5197	6	27	effective	effective	ADJ
ejpam-5197	6	28	technique	technique	NOUN
ejpam-5197	6	29	.	.	PUNCT
ejpam-5197	7	1	then	then	ADV
ejpam-5197	7	2	,	,	PUNCT
ejpam-5197	7	3	using	use	VERB
ejpam-5197	7	4	a	a	DET
ejpam-5197	7	5	pseudo	pseudo	NOUN
ejpam-5197	7	6	-	-	ADJ
ejpam-5197	7	7	spectral	spectral	ADJ
ejpam-5197	7	8	method	method	NOUN
ejpam-5197	7	9	,	,	PUNCT
ejpam-5197	7	10	we	we	PRON
ejpam-5197	7	11	discretize	discretize	VERB
ejpam-5197	7	12	the	the	DET
ejpam-5197	7	13	obtained	obtain	VERB
ejpam-5197	7	14	equation	equation	NOUN
ejpam-5197	7	15	in	in	ADP
ejpam-5197	7	16	the	the	DET
ejpam-5197	7	17	legendre	legendre	PROPN
ejpam-5197	7	18	-	-	PUNCT
ejpam-5197	7	19	gauss	gaus	VERB
ejpam-5197	7	20	-	-	PUNCT
ejpam-5197	7	21	lobatto	lobatto	NOUN
ejpam-5197	7	22	collocation	collocation	NOUN
ejpam-5197	7	23	points	point	NOUN
ejpam-5197	7	24	and	and	CCONJ
ejpam-5197	7	25	present	present	VERB
ejpam-5197	7	26	an	an	DET
ejpam-5197	7	27	algebraic	algebraic	ADJ
ejpam-5197	7	28	system	system	NOUN
ejpam-5197	7	29	with	with	ADP
ejpam-5197	7	30	an	an	DET
ejpam-5197	7	31	equal	equal	ADJ
ejpam-5197	7	32	number	number	NOUN
ejpam-5197	7	33	of	of	ADP
ejpam-5197	7	34	equations	equation	NOUN
ejpam-5197	7	35	and	and	CCONJ
ejpam-5197	7	36	unknowns	unknown	NOUN
ejpam-5197	7	37	which	which	PRON
ejpam-5197	7	38	can	can	AUX
ejpam-5197	7	39	be	be	AUX
ejpam-5197	7	40	solved	solve	VERB
ejpam-5197	7	41	by	by	ADP
ejpam-5197	7	42	quasi	quasi	PROPN
ejpam-5197	7	43	-	-	PROPN
ejpam-5197	7	44	newton	newton	PROPN
ejpam-5197	7	45	methods	method	NOUN
ejpam-5197	7	46	such	such	ADJ
ejpam-5197	7	47	as	as	ADP
ejpam-5197	7	48	levenderg	levenderg	PROPN
ejpam-5197	7	49	-	-	PUNCT
ejpam-5197	7	50	marquardt	marquardt	PROPN
ejpam-5197	7	51	algorithm	algorithm	PROPN
ejpam-5197	7	52	.	.	PUNCT
ejpam-5197	8	1	the	the	DET
ejpam-5197	8	2	approximate	approximate	ADJ
ejpam-5197	8	3	solutions	solution	NOUN
ejpam-5197	8	4	can	can	AUX
ejpam-5197	8	5	be	be	AUX
ejpam-5197	8	6	obtained	obtain	VERB
ejpam-5197	8	7	with	with	ADP
ejpam-5197	8	8	exponential	exponential	ADJ
ejpam-5197	8	9	accuracy	accuracy	NOUN
ejpam-5197	8	10	.	.	PUNCT
ejpam-5197	9	1	the	the	DET
ejpam-5197	9	2	convergence	convergence	NOUN
ejpam-5197	9	3	analysis	analysis	NOUN
ejpam-5197	9	4	of	of	ADP
ejpam-5197	9	5	the	the	DET
ejpam-5197	9	6	method	method	NOUN
ejpam-5197	9	7	is	be	AUX
ejpam-5197	9	8	fully	fully	ADV
ejpam-5197	9	9	discussed	discuss	VERB
ejpam-5197	9	10	and	and	CCONJ
ejpam-5197	9	11	four	four	NUM
ejpam-5197	9	12	examples	example	NOUN
ejpam-5197	9	13	are	be	AUX
ejpam-5197	9	14	presented	present	VERB
ejpam-5197	9	15	to	to	PART
ejpam-5197	9	16	evaluate	evaluate	VERB
ejpam-5197	9	17	the	the	DET
ejpam-5197	9	18	results	result	NOUN
ejpam-5197	9	19	and	and	CCONJ
ejpam-5197	9	20	compare	compare	VERB
ejpam-5197	9	21	with	with	ADP
ejpam-5197	9	22	one	one	NUM
ejpam-5197	9	23	of	of	ADP
ejpam-5197	9	24	the	the	DET
ejpam-5197	9	25	conventional	conventional	ADJ
ejpam-5197	9	26	methods	method	NOUN
ejpam-5197	9	27	used	use	VERB
ejpam-5197	9	28	to	to	PART
ejpam-5197	9	29	solve	solve	VERB
ejpam-5197	9	30	partial	partial	ADJ
ejpam-5197	9	31	differential	differential	NOUN
ejpam-5197	9	32	equations	equation	NOUN
ejpam-5197	9	33	,	,	PUNCT
ejpam-5197	9	34	that	that	ADV
ejpam-5197	9	35	is	is	ADV
ejpam-5197	9	36	,	,	PUNCT
ejpam-5197	9	37	the	the	DET
ejpam-5197	9	38	compact	compact	ADJ
ejpam-5197	9	39	finite	finite	ADJ
ejpam-5197	9	40	difference	difference	NOUN
ejpam-5197	9	41	method	method	NOUN
ejpam-5197	9	42	.	.	PUNCT
ejpam-5197	10	1	2020	2020	NUM
ejpam-5197	10	2	mathematics	mathematic	NOUN
ejpam-5197	10	3	subject	subject	NOUN
ejpam-5197	10	4	classifications	classification	NOUN
ejpam-5197	10	5	:	:	PUNCT
ejpam-5197	10	6	35k57	35k57	NUM
ejpam-5197	10	7	,	,	PUNCT
ejpam-5197	10	8	65m70	65m70	NUM
ejpam-5197	10	9	,	,	PUNCT
ejpam-5197	10	10	65n35	65n35	DET
ejpam-5197	10	11	key	key	ADJ
ejpam-5197	10	12	words	word	NOUN
ejpam-5197	10	13	and	and	CCONJ
ejpam-5197	10	14	phrases	phrase	NOUN
ejpam-5197	10	15	:	:	PUNCT
ejpam-5197	10	16	difference	difference	NOUN
ejpam-5197	10	17	delayed	delay	VERB
ejpam-5197	10	18	reaction	reaction	NOUN
ejpam-5197	10	19	-	-	PUNCT
ejpam-5197	10	20	diffusion	diffusion	NOUN
ejpam-5197	10	21	equations	equation	NOUN
ejpam-5197	10	22	,	,	PUNCT
ejpam-5197	10	23	lagrange	lagrange	NOUN
ejpam-5197	10	24	interpolating	interpolate	VERB
ejpam-5197	10	25	polynomials	polynomial	NOUN
ejpam-5197	10	26	,	,	PUNCT
ejpam-5197	10	27	legendre	legendre	PROPN
ejpam-5197	10	28	-	-	PUNCT
ejpam-5197	10	29	gauss	gaus	VERB
ejpam-5197	10	30	-	-	PUNCT
ejpam-5197	10	31	lobatto	lobatto	NOUN
ejpam-5197	10	32	points	point	NOUN
ejpam-5197	10	33	,	,	PUNCT
ejpam-5197	10	34	convergence	convergence	NOUN
ejpam-5197	10	35	analysis	analysis	NOUN
ejpam-5197	10	36	,	,	PUNCT
ejpam-5197	10	37	modulus	modulus	NOUN
ejpam-5197	10	38	of	of	ADP
ejpam-5197	10	39	continuity	continuity	NOUN
ejpam-5197	10	40	1	1	NUM
ejpam-5197	10	41	.	.	PUNCT
ejpam-5197	11	1	introduction	introduction	NOUN
ejpam-5197	11	2	reaction	reaction	NOUN
ejpam-5197	11	3	-	-	PUNCT
ejpam-5197	11	4	diffusion	diffusion	NOUN
ejpam-5197	11	5	(	(	PUNCT
ejpam-5197	11	6	rd	rd	NOUN
ejpam-5197	11	7	)	)	PUNCT
ejpam-5197	11	8	equation	equation	NOUN
ejpam-5197	11	9	is	be	AUX
ejpam-5197	11	10	one	one	NUM
ejpam-5197	11	11	of	of	ADP
ejpam-5197	11	12	the	the	DET
ejpam-5197	11	13	partial	partial	ADJ
ejpam-5197	11	14	differential	differential	ADJ
ejpam-5197	11	15	equations	equation	NOUN
ejpam-5197	11	16	(	(	PUNCT
ejpam-5197	11	17	pdes	pde	NOUN
ejpam-5197	11	18	)	)	PUNCT
ejpam-5197	11	19	which	which	PRON
ejpam-5197	11	20	appears	appear	VERB
ejpam-5197	11	21	in	in	ADP
ejpam-5197	11	22	physical	physical	ADJ
ejpam-5197	11	23	and	and	CCONJ
ejpam-5197	11	24	chemical	chemical	NOUN
ejpam-5197	11	25	models	model	NOUN
ejpam-5197	11	26	.	.	PUNCT
ejpam-5197	12	1	many	many	ADJ
ejpam-5197	12	2	chemical	chemical	NOUN
ejpam-5197	12	3	systems	system	NOUN
ejpam-5197	12	4	are	be	AUX
ejpam-5197	12	5	described	describe	VERB
ejpam-5197	12	6	by	by	ADP
ejpam-5197	12	7	this	this	DET
ejpam-5197	12	8	equation	equation	NOUN
ejpam-5197	12	9	,	,	PUNCT
ejpam-5197	12	10	where	where	SCONJ
ejpam-5197	12	11	the	the	DET
ejpam-5197	12	12	diffusion	diffusion	NOUN
ejpam-5197	12	13	of	of	ADP
ejpam-5197	12	14	matter	matter	NOUN
ejpam-5197	12	15	competes	compete	VERB
ejpam-5197	12	16	with	with	ADP
ejpam-5197	12	17	production	production	NOUN
ejpam-5197	12	18	of	of	ADP
ejpam-5197	12	19	some	some	DET
ejpam-5197	12	20	kind	kind	NOUN
ejpam-5197	12	21	of	of	ADP
ejpam-5197	12	22	chemical	chemical	ADJ
ejpam-5197	12	23	reaction	reaction	NOUN
ejpam-5197	12	24	[	[	X
ejpam-5197	12	25	3	3	NUM
ejpam-5197	12	26	,	,	PUNCT
ejpam-5197	12	27	11	11	NUM
ejpam-5197	12	28	,	,	PUNCT
ejpam-5197	12	29	13	13	NUM
ejpam-5197	12	30	,	,	PUNCT
ejpam-5197	12	31	26	26	NUM
ejpam-5197	12	32	,	,	PUNCT
ejpam-5197	12	33	32	32	NUM
ejpam-5197	12	34	,	,	PUNCT
ejpam-5197	12	35	33	33	NUM
ejpam-5197	12	36	]	]	PUNCT
ejpam-5197	12	37	.	.	PUNCT
ejpam-5197	13	1	recently	recently	ADV
ejpam-5197	13	2	,	,	PUNCT
ejpam-5197	13	3	some	some	DET
ejpam-5197	13	4	researchers	researcher	NOUN
ejpam-5197	13	5	have	have	AUX
ejpam-5197	13	6	attempted	attempt	VERB
ejpam-5197	13	7	to	to	PART
ejpam-5197	13	8	numerically	numerically	ADV
ejpam-5197	13	9	solve	solve	VERB
ejpam-5197	13	10	this	this	DET
ejpam-5197	13	11	equation	equation	NOUN
ejpam-5197	13	12	.	.	PUNCT
ejpam-5197	14	1	sharifi	sharifi	NOUN
ejpam-5197	14	2	and	and	CCONJ
ejpam-5197	14	3	rashidian	rashidian	NOUN
ejpam-5197	15	1	[	[	X
ejpam-5197	15	2	28	28	NUM
ejpam-5197	15	3	]	]	PUNCT
ejpam-5197	15	4	have	have	AUX
ejpam-5197	15	5	applied	apply	VERB
ejpam-5197	15	6	the	the	DET
ejpam-5197	15	7	collocation	collocation	NOUN
ejpam-5197	15	8	method	method	NOUN
ejpam-5197	15	9	that	that	PRON
ejpam-5197	15	10	is	be	AUX
ejpam-5197	15	11	a	a	DET
ejpam-5197	15	12	special	special	ADJ
ejpam-5197	15	13	case	case	NOUN
ejpam-5197	15	14	of	of	ADP
ejpam-5197	15	15	the	the	DET
ejpam-5197	15	16	spectral	spectral	ADJ
ejpam-5197	15	17	methods	method	NOUN
ejpam-5197	15	18	for	for	ADP
ejpam-5197	15	19	this	this	DET
ejpam-5197	15	20	equation	equation	NOUN
ejpam-5197	15	21	.	.	PUNCT
ejpam-5197	16	1	also	also	ADV
ejpam-5197	16	2	,	,	PUNCT
ejpam-5197	16	3	in	in	ADP
ejpam-5197	16	4	[	[	PUNCT
ejpam-5197	16	5	2	2	NUM
ejpam-5197	16	6	]	]	PUNCT
ejpam-5197	16	7	,	,	PUNCT
ejpam-5197	16	8	the	the	DET
ejpam-5197	16	9	solvability	solvability	NOUN
ejpam-5197	16	10	of	of	ADP
ejpam-5197	16	11	optimal	optimal	ADJ
ejpam-5197	16	12	control	control	NOUN
ejpam-5197	16	13	problems	problem	NOUN
ejpam-5197	16	14	on	on	ADP
ejpam-5197	16	15	both	both	CCONJ
ejpam-5197	16	16	weak	weak	ADJ
ejpam-5197	16	17	and	and	CCONJ
ejpam-5197	16	18	strong	strong	ADJ
ejpam-5197	16	19	solutions	solution	NOUN
ejpam-5197	16	20	of	of	ADP
ejpam-5197	16	21	a	a	DET
ejpam-5197	16	22	boundary	boundary	ADJ
ejpam-5197	16	23	∗corresponding	∗corresponde	VERB
ejpam-5197	16	24	author	author	NOUN
ejpam-5197	16	25	.	.	PUNCT
ejpam-5197	17	1	doi	doi	NOUN
ejpam-5197	17	2	:	:	PUNCT
ejpam-5197	17	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5197	https://doi.org/10.29020/nybg.ejpam.v17i3.5197	PROPN
ejpam-5197	17	4	email	email	NOUN
ejpam-5197	17	5	addresses	address	NOUN
ejpam-5197	17	6	:	:	PUNCT
ejpam-5197	17	7	marziehheidari22@yahoo.com	marziehheidari22@yahoo.com	X
ejpam-5197	17	8	(	(	PUNCT
ejpam-5197	17	9	m.	m.	NOUN
ejpam-5197	17	10	heidari	heidari	PROPN
ejpam-5197	17	11	)	)	PUNCT
ejpam-5197	17	12	,	,	PUNCT
ejpam-5197	17	13	mghovat@gmail.com	mghovat@gmail.com	X
ejpam-5197	18	1	(	(	PUNCT
ejpam-5197	18	2	m.	m.	NOUN
ejpam-5197	18	3	ghovatmand	ghovatmand	PROPN
ejpam-5197	18	4	)	)	PUNCT
ejpam-5197	18	5	,	,	PUNCT
ejpam-5197	18	6	math.noori@yahoo.com	math.noori@yahoo.com	X
ejpam-5197	18	7	(	(	PUNCT
ejpam-5197	18	8	m.	m.	PROPN
ejpam-5197	18	9	h.	h.	PROPN
ejpam-5197	18	10	noori	noori	PROPN
ejpam-5197	18	11	skandari	skandari	PROPN
ejpam-5197	18	12	)	)	PUNCT
ejpam-5197	18	13	,	,	PUNCT
ejpam-5197	18	14	dumitru.baleanu@lau.edu.lb	dumitru.baleanu@lau.edu.lb	PROPN
ejpam-5197	18	15	(	(	PUNCT
ejpam-5197	18	16	d.	d.	NOUN
ejpam-5197	18	17	baleanu	baleanu	PROPN
ejpam-5197	18	18	)	)	PUNCT
ejpam-5197	18	19	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5197	18	20	1565	1565	NUM
ejpam-5197	19	1	©	©	ADP
ejpam-5197	19	2	2024	2024	NUM
ejpam-5197	19	3	ejpam	ejpam	NOUN
ejpam-5197	19	4	all	all	DET
ejpam-5197	19	5	rights	right	NOUN
ejpam-5197	19	6	reserved	reserve	VERB
ejpam-5197	19	7	.	.	PUNCT
ejpam-5197	20	1	m.	m.	NOUN
ejpam-5197	20	2	ghovatmand	ghovatmand	PROPN
ejpam-5197	20	3	et	et	PROPN
ejpam-5197	20	4	al	al	PROPN
ejpam-5197	20	5	.	.	PUNCT
ejpam-5197	20	6	/	/	SYM
ejpam-5197	20	7	eur	eur	PROPN
ejpam-5197	20	8	.	.	PUNCT
ejpam-5197	21	1	j.	j.	PROPN
ejpam-5197	21	2	pure	pure	PROPN
ejpam-5197	21	3	appl	appl	PROPN
ejpam-5197	21	4	.	.	PROPN
ejpam-5197	21	5	math	math	PROPN
ejpam-5197	21	6	,	,	PUNCT
ejpam-5197	21	7	17	17	NUM
ejpam-5197	21	8	(	(	PUNCT
ejpam-5197	21	9	3	3	NUM
ejpam-5197	21	10	)	)	PUNCT
ejpam-5197	21	11	(	(	PUNCT
ejpam-5197	21	12	2024	2024	NUM
ejpam-5197	21	13	)	)	PUNCT
ejpam-5197	21	14	,	,	PUNCT
ejpam-5197	21	15	1565	1565	NUM
ejpam-5197	21	16	-	-	SYM
ejpam-5197	21	17	1584	1584	NUM
ejpam-5197	21	18	1566	1566	NUM
ejpam-5197	21	19	value	value	NOUN
ejpam-5197	21	20	problem	problem	NOUN
ejpam-5197	21	21	for	for	ADP
ejpam-5197	21	22	the	the	DET
ejpam-5197	21	23	nonlinear	nonlinear	ADJ
ejpam-5197	21	24	reaction	reaction	NOUN
ejpam-5197	21	25	–	–	PUNCT
ejpam-5197	21	26	diffusion	diffusion	NOUN
ejpam-5197	21	27	–	–	PUNCT
ejpam-5197	21	28	convection	convection	NOUN
ejpam-5197	21	29	(	(	PUNCT
ejpam-5197	21	30	rdc	rdc	NOUN
ejpam-5197	21	31	)	)	PUNCT
ejpam-5197	21	32	equation	equation	NOUN
ejpam-5197	21	33	with	with	ADP
ejpam-5197	21	34	variable	variable	ADJ
ejpam-5197	21	35	coefficients	coefficient	NOUN
ejpam-5197	21	36	is	be	AUX
ejpam-5197	21	37	investigated	investigate	VERB
ejpam-5197	21	38	and	and	CCONJ
ejpam-5197	21	39	the	the	DET
ejpam-5197	21	40	requirements	requirement	NOUN
ejpam-5197	21	41	for	for	ADP
ejpam-5197	21	42	smoothness	smoothness	NOUN
ejpam-5197	21	43	of	of	ADP
ejpam-5197	21	44	the	the	DET
ejpam-5197	21	45	multiplicative	multiplicative	ADJ
ejpam-5197	21	46	control	control	NOUN
ejpam-5197	21	47	are	be	AUX
ejpam-5197	21	48	reduced	reduce	VERB
ejpam-5197	21	49	.	.	PUNCT
ejpam-5197	22	1	some	some	DET
ejpam-5197	22	2	other	other	ADJ
ejpam-5197	22	3	methods	method	NOUN
ejpam-5197	22	4	for	for	ADP
ejpam-5197	22	5	rd	rd	NOUN
ejpam-5197	22	6	equation	equation	NOUN
ejpam-5197	22	7	exist	exist	VERB
ejpam-5197	22	8	in	in	ADP
ejpam-5197	22	9	liu	liu	PROPN
ejpam-5197	22	10	et	et	PROPN
ejpam-5197	22	11	al	al	PROPN
ejpam-5197	22	12	.	.	PUNCT
ejpam-5197	23	1	[	[	X
ejpam-5197	23	2	19	19	NUM
ejpam-5197	23	3	]	]	PUNCT
ejpam-5197	23	4	,	,	PUNCT
ejpam-5197	23	5	koto	koto	NOUN
ejpam-5197	24	1	[	[	X
ejpam-5197	24	2	12	12	NUM
ejpam-5197	24	3	]	]	PUNCT
ejpam-5197	24	4	,	,	PUNCT
ejpam-5197	24	5	priyanka	priyanka	PROPN
ejpam-5197	24	6	et	et	PROPN
ejpam-5197	24	7	al	al	PROPN
ejpam-5197	24	8	.	.	PUNCT
ejpam-5197	25	1	[	[	X
ejpam-5197	25	2	25	25	NUM
ejpam-5197	25	3	]	]	PUNCT
ejpam-5197	25	4	,	,	PUNCT
ejpam-5197	25	5	visuvasam	visuvasam	PROPN
ejpam-5197	25	6	et	et	PROPN
ejpam-5197	25	7	al	al	PROPN
ejpam-5197	25	8	.	.	PUNCT
ejpam-5197	26	1	[	[	X
ejpam-5197	26	2	31	31	NUM
ejpam-5197	26	3	]	]	PUNCT
ejpam-5197	26	4	and	and	CCONJ
ejpam-5197	26	5	their	their	PRON
ejpam-5197	26	6	references	reference	NOUN
ejpam-5197	26	7	.	.	PUNCT
ejpam-5197	27	1	the	the	DET
ejpam-5197	27	2	(	(	PUNCT
ejpam-5197	27	3	difference	difference	NOUN
ejpam-5197	27	4	)	)	PUNCT
ejpam-5197	27	5	delayed	delay	VERB
ejpam-5197	27	6	rd	rd	PROPN
ejpam-5197	27	7	(	(	PUNCT
ejpam-5197	27	8	drd	drd	PROPN
ejpam-5197	27	9	)	)	PUNCT
ejpam-5197	27	10	equation	equation	NOUN
ejpam-5197	27	11	is	be	AUX
ejpam-5197	27	12	a	a	DET
ejpam-5197	27	13	type	type	NOUN
ejpam-5197	27	14	of	of	ADP
ejpam-5197	27	15	extended	extended	ADJ
ejpam-5197	27	16	rd	rd	NOUN
ejpam-5197	27	17	equations	equation	NOUN
ejpam-5197	27	18	that	that	PRON
ejpam-5197	27	19	are	be	AUX
ejpam-5197	27	20	widely	widely	ADV
ejpam-5197	27	21	used	use	VERB
ejpam-5197	27	22	in	in	ADP
ejpam-5197	27	23	various	various	ADJ
ejpam-5197	27	24	sciences	science	NOUN
ejpam-5197	27	25	.	.	PUNCT
ejpam-5197	28	1	one	one	NUM
ejpam-5197	28	2	of	of	ADP
ejpam-5197	28	3	the	the	DET
ejpam-5197	28	4	interesting	interesting	ADJ
ejpam-5197	28	5	applications	application	NOUN
ejpam-5197	28	6	is	be	AUX
ejpam-5197	28	7	in	in	ADP
ejpam-5197	28	8	biological	biological	ADJ
ejpam-5197	28	9	sciences	science	NOUN
ejpam-5197	28	10	and	and	CCONJ
ejpam-5197	28	11	for	for	ADP
ejpam-5197	28	12	modeling	model	VERB
ejpam-5197	28	13	the	the	DET
ejpam-5197	28	14	spread	spread	NOUN
ejpam-5197	28	15	of	of	ADP
ejpam-5197	28	16	bacteriophage	bacteriophage	NOUN
ejpam-5197	28	17	infection	infection	NOUN
ejpam-5197	28	18	[	[	X
ejpam-5197	28	19	7	7	NUM
ejpam-5197	28	20	]	]	PUNCT
ejpam-5197	28	21	.	.	PUNCT
ejpam-5197	29	1	the	the	DET
ejpam-5197	29	2	other	other	ADJ
ejpam-5197	29	3	application	application	NOUN
ejpam-5197	29	4	is	be	AUX
ejpam-5197	29	5	the	the	DET
ejpam-5197	29	6	modeling	modeling	NOUN
ejpam-5197	29	7	of	of	ADP
ejpam-5197	29	8	range	range	NOUN
ejpam-5197	29	9	of	of	ADP
ejpam-5197	29	10	prey	prey	NOUN
ejpam-5197	29	11	-	-	PUNCT
ejpam-5197	29	12	predator	predator	NOUN
ejpam-5197	29	13	systems	system	NOUN
ejpam-5197	29	14	[	[	X
ejpam-5197	29	15	1	1	NUM
ejpam-5197	29	16	]	]	PUNCT
ejpam-5197	29	17	.	.	PUNCT
ejpam-5197	30	1	moreover	moreover	ADV
ejpam-5197	30	2	,	,	PUNCT
ejpam-5197	30	3	drd	drd	PROPN
ejpam-5197	30	4	equations	equation	NOUN
ejpam-5197	30	5	are	be	AUX
ejpam-5197	30	6	utilized	utilize	VERB
ejpam-5197	30	7	for	for	ADP
ejpam-5197	30	8	the	the	DET
ejpam-5197	30	9	modeling	modeling	NOUN
ejpam-5197	30	10	of	of	ADP
ejpam-5197	30	11	virus	virus	NOUN
ejpam-5197	30	12	infection	infection	NOUN
ejpam-5197	30	13	of	of	ADP
ejpam-5197	30	14	hepatit	hepatit	NOUN
ejpam-5197	30	15	c	c	PROPN
ejpam-5197	31	1	[	[	X
ejpam-5197	31	2	34	34	NUM
ejpam-5197	31	3	]	]	PUNCT
ejpam-5197	31	4	.	.	PUNCT
ejpam-5197	32	1	further	far	ADV
ejpam-5197	32	2	,	,	PUNCT
ejpam-5197	32	3	drd	drd	PROPN
ejpam-5197	32	4	equations	equation	NOUN
ejpam-5197	32	5	are	be	AUX
ejpam-5197	32	6	widely	widely	ADV
ejpam-5197	32	7	proposed	propose	VERB
ejpam-5197	32	8	as	as	ADP
ejpam-5197	32	9	models	model	NOUN
ejpam-5197	32	10	for	for	ADP
ejpam-5197	32	11	population	population	NOUN
ejpam-5197	32	12	ecology	ecology	NOUN
ejpam-5197	32	13	and	and	CCONJ
ejpam-5197	32	14	cell	cell	NOUN
ejpam-5197	32	15	biology	biology	NOUN
ejpam-5197	32	16	.	.	PUNCT
ejpam-5197	33	1	for	for	ADP
ejpam-5197	33	2	example	example	NOUN
ejpam-5197	33	3	,	,	PUNCT
ejpam-5197	33	4	the	the	DET
ejpam-5197	33	5	diffusive	diffusive	ADJ
ejpam-5197	33	6	mackey	mackey	NOUN
ejpam-5197	33	7	–	–	PUNCT
ejpam-5197	33	8	glass	glass	NOUN
ejpam-5197	33	9	equation	equation	NOUN
ejpam-5197	33	10	[	[	X
ejpam-5197	33	11	18	18	NUM
ejpam-5197	33	12	]	]	PUNCT
ejpam-5197	33	13	is	be	AUX
ejpam-5197	33	14	used	use	VERB
ejpam-5197	33	15	to	to	PART
ejpam-5197	33	16	describe	describe	VERB
ejpam-5197	33	17	a	a	DET
ejpam-5197	33	18	single	single	ADJ
ejpam-5197	33	19	-	-	PUNCT
ejpam-5197	33	20	species	species	NOUN
ejpam-5197	33	21	population	population	NOUN
ejpam-5197	33	22	with	with	ADP
ejpam-5197	33	23	age	age	NOUN
ejpam-5197	33	24	-	-	PUNCT
ejpam-5197	33	25	structure	structure	NOUN
ejpam-5197	33	26	and	and	CCONJ
ejpam-5197	33	27	diffusion	diffusion	NOUN
ejpam-5197	33	28	.	.	PUNCT
ejpam-5197	34	1	also	also	ADV
ejpam-5197	34	2	,	,	PUNCT
ejpam-5197	34	3	the	the	DET
ejpam-5197	34	4	diffusive	diffusive	ADJ
ejpam-5197	34	5	hematopoiesis	hematopoiesis	NOUN
ejpam-5197	34	6	model	model	NOUN
ejpam-5197	34	7	[	[	X
ejpam-5197	34	8	35	35	NUM
ejpam-5197	34	9	]	]	PUNCT
ejpam-5197	34	10	is	be	AUX
ejpam-5197	34	11	presented	present	VERB
ejpam-5197	34	12	to	to	PART
ejpam-5197	34	13	investigate	investigate	VERB
ejpam-5197	34	14	the	the	DET
ejpam-5197	34	15	dynamics	dynamic	NOUN
ejpam-5197	34	16	of	of	ADP
ejpam-5197	34	17	blood	blood	NOUN
ejpam-5197	34	18	cell	cell	NOUN
ejpam-5197	34	19	production	production	NOUN
ejpam-5197	34	20	.	.	PUNCT
ejpam-5197	35	1	most	most	ADJ
ejpam-5197	35	2	of	of	ADP
ejpam-5197	35	3	the	the	DET
ejpam-5197	35	4	results	result	NOUN
ejpam-5197	35	5	in	in	ADP
ejpam-5197	35	6	literature	literature	NOUN
ejpam-5197	35	7	indicate	indicate	VERB
ejpam-5197	35	8	that	that	SCONJ
ejpam-5197	35	9	a	a	DET
ejpam-5197	35	10	delay	delay	NOUN
ejpam-5197	35	11	term	term	NOUN
ejpam-5197	35	12	could	could	AUX
ejpam-5197	35	13	change	change	VERB
ejpam-5197	35	14	the	the	DET
ejpam-5197	35	15	dynamic	dynamic	ADJ
ejpam-5197	35	16	properties	property	NOUN
ejpam-5197	35	17	of	of	ADP
ejpam-5197	35	18	a	a	DET
ejpam-5197	35	19	system	system	NOUN
ejpam-5197	35	20	such	such	ADJ
ejpam-5197	35	21	as	as	ADP
ejpam-5197	35	22	stability	stability	NOUN
ejpam-5197	35	23	,	,	PUNCT
ejpam-5197	35	24	oscillation	oscillation	NOUN
ejpam-5197	35	25	,	,	PUNCT
ejpam-5197	35	26	bifurcations	bifurcation	NOUN
ejpam-5197	35	27	,	,	PUNCT
ejpam-5197	35	28	chaos	chaos	NOUN
ejpam-5197	35	29	etc	etc	X
ejpam-5197	35	30	.	.	X
ejpam-5197	36	1	that	that	PRON
ejpam-5197	36	2	is	be	AUX
ejpam-5197	36	3	the	the	DET
ejpam-5197	36	4	reason	reason	NOUN
ejpam-5197	36	5	that	that	PRON
ejpam-5197	36	6	such	such	ADJ
ejpam-5197	36	7	equations	equation	NOUN
ejpam-5197	36	8	became	become	VERB
ejpam-5197	36	9	the	the	DET
ejpam-5197	36	10	focus	focus	NOUN
ejpam-5197	36	11	of	of	ADP
ejpam-5197	36	12	researchers	researcher	NOUN
ejpam-5197	36	13	in	in	ADP
ejpam-5197	36	14	numerical	numerical	ADJ
ejpam-5197	36	15	analysis	analysis	NOUN
ejpam-5197	36	16	and	and	CCONJ
ejpam-5197	36	17	simulation	simulation	NOUN
ejpam-5197	36	18	.	.	PUNCT
ejpam-5197	37	1	so	so	ADV
ejpam-5197	37	2	far	far	ADV
ejpam-5197	37	3	many	many	ADJ
ejpam-5197	37	4	researchers	researcher	NOUN
ejpam-5197	37	5	have	have	AUX
ejpam-5197	37	6	paid	pay	VERB
ejpam-5197	37	7	attention	attention	NOUN
ejpam-5197	37	8	to	to	ADP
ejpam-5197	37	9	the	the	DET
ejpam-5197	37	10	drd	drd	NOUN
ejpam-5197	37	11	equation	equation	NOUN
ejpam-5197	37	12	and	and	CCONJ
ejpam-5197	37	13	suggested	suggest	VERB
ejpam-5197	37	14	many	many	ADJ
ejpam-5197	37	15	methods	method	NOUN
ejpam-5197	37	16	for	for	ADP
ejpam-5197	37	17	solving	solve	VERB
ejpam-5197	37	18	this	this	DET
ejpam-5197	37	19	equation	equation	NOUN
ejpam-5197	37	20	.	.	PUNCT
ejpam-5197	38	1	zhao	zhao	PROPN
ejpam-5197	38	2	and	and	CCONJ
ejpam-5197	38	3	ge	ge	PROPN
ejpam-5197	39	1	[	[	X
ejpam-5197	39	2	38	38	NUM
ejpam-5197	39	3	]	]	PUNCT
ejpam-5197	39	4	checked	check	VERB
ejpam-5197	39	5	out	out	ADP
ejpam-5197	39	6	the	the	DET
ejpam-5197	39	7	existing	exist	VERB
ejpam-5197	39	8	traveling	travel	VERB
ejpam-5197	39	9	wavefront	wavefront	ADJ
ejpam-5197	39	10	solutions	solution	NOUN
ejpam-5197	39	11	for	for	ADP
ejpam-5197	39	12	drd	drd	NOUN
ejpam-5197	39	13	equations	equation	NOUN
ejpam-5197	39	14	and	and	CCONJ
ejpam-5197	39	15	qualitative	qualitative	ADJ
ejpam-5197	39	16	behavior	behavior	NOUN
ejpam-5197	39	17	of	of	ADP
ejpam-5197	39	18	these	these	DET
ejpam-5197	39	19	solutions	solution	NOUN
ejpam-5197	39	20	.	.	PUNCT
ejpam-5197	40	1	wu	wu	PROPN
ejpam-5197	40	2	and	and	CCONJ
ejpam-5197	40	3	lan	lan	PROPN
ejpam-5197	41	1	[	[	X
ejpam-5197	41	2	36	36	NUM
ejpam-5197	41	3	]	]	PUNCT
ejpam-5197	41	4	applied	apply	VERB
ejpam-5197	41	5	a	a	DET
ejpam-5197	41	6	method	method	NOUN
ejpam-5197	41	7	for	for	ADP
ejpam-5197	41	8	rd	rd	NOUN
ejpam-5197	41	9	with	with	ADP
ejpam-5197	41	10	several	several	ADJ
ejpam-5197	41	11	delays	delay	NOUN
ejpam-5197	41	12	by	by	ADP
ejpam-5197	41	13	considering	consider	VERB
ejpam-5197	41	14	compact	compact	ADJ
ejpam-5197	41	15	functions	function	NOUN
ejpam-5197	41	16	in	in	ADP
ejpam-5197	41	17	a	a	DET
ejpam-5197	41	18	continuous	continuous	ADJ
ejpam-5197	41	19	space	space	NOUN
ejpam-5197	41	20	and	and	CCONJ
ejpam-5197	41	21	applying	apply	VERB
ejpam-5197	41	22	the	the	DET
ejpam-5197	41	23	convergence	convergence	NOUN
ejpam-5197	41	24	theorem	theorem	VERB
ejpam-5197	41	25	lebseque	lebseque	PROPN
ejpam-5197	41	26	’s	’s	PART
ejpam-5197	41	27	dominated	dominate	VERB
ejpam-5197	41	28	(	(	PUNCT
ejpam-5197	41	29	some	some	DET
ejpam-5197	41	30	other	other	ADJ
ejpam-5197	41	31	related	related	ADJ
ejpam-5197	41	32	works	work	NOUN
ejpam-5197	41	33	exist	exist	VERB
ejpam-5197	41	34	in	in	ADP
ejpam-5197	41	35	[	[	X
ejpam-5197	41	36	6	6	NUM
ejpam-5197	41	37	,	,	PUNCT
ejpam-5197	41	38	14	14	NUM
ejpam-5197	41	39	,	,	PUNCT
ejpam-5197	41	40	17	17	NUM
ejpam-5197	41	41	,	,	PUNCT
ejpam-5197	41	42	21	21	NUM
ejpam-5197	41	43	]	]	PUNCT
ejpam-5197	41	44	)	)	PUNCT
ejpam-5197	41	45	.	.	PUNCT
ejpam-5197	42	1	moreover	moreover	ADV
ejpam-5197	42	2	,	,	PUNCT
ejpam-5197	42	3	meleshko	meleshko	VERB
ejpam-5197	42	4	and	and	CCONJ
ejpam-5197	42	5	moyo	moyo	NOUN
ejpam-5197	43	1	[	[	X
ejpam-5197	43	2	22	22	NUM
ejpam-5197	43	3	]	]	PUNCT
ejpam-5197	43	4	suggested	suggest	VERB
ejpam-5197	43	5	the	the	DET
ejpam-5197	43	6	lie	lie	NOUN
ejpam-5197	43	7	group	group	NOUN
ejpam-5197	43	8	for	for	ADP
ejpam-5197	43	9	solving	solve	VERB
ejpam-5197	43	10	this	this	DET
ejpam-5197	43	11	equation	equation	NOUN
ejpam-5197	43	12	.	.	PUNCT
ejpam-5197	44	1	li	li	PROPN
ejpam-5197	44	2	et	et	PROPN
ejpam-5197	44	3	al	al	PROPN
ejpam-5197	44	4	.	.	PUNCT
ejpam-5197	45	1	[	[	X
ejpam-5197	45	2	16	16	NUM
ejpam-5197	45	3	]	]	PUNCT
ejpam-5197	45	4	proposed	propose	VERB
ejpam-5197	45	5	a	a	DET
ejpam-5197	45	6	galerkin	galerkin	ADJ
ejpam-5197	45	7	method	method	NOUN
ejpam-5197	45	8	with	with	ADP
ejpam-5197	45	9	local	local	ADJ
ejpam-5197	45	10	discontinuity	discontinuity	NOUN
ejpam-5197	45	11	for	for	ADP
ejpam-5197	45	12	solving	solve	VERB
ejpam-5197	45	13	this	this	DET
ejpam-5197	45	14	equation	equation	NOUN
ejpam-5197	45	15	.	.	PUNCT
ejpam-5197	46	1	they	they	PRON
ejpam-5197	46	2	used	use	VERB
ejpam-5197	46	3	a	a	DET
ejpam-5197	46	4	space	space	NOUN
ejpam-5197	46	5	of	of	ADP
ejpam-5197	46	6	discontinuous	discontinuous	ADJ
ejpam-5197	46	7	piecewise	piecewise	NOUN
ejpam-5197	46	8	polynomials	polynomial	NOUN
ejpam-5197	46	9	to	to	PART
ejpam-5197	46	10	approximate	approximate	VERB
ejpam-5197	46	11	the	the	DET
ejpam-5197	46	12	solution	solution	NOUN
ejpam-5197	46	13	and	and	CCONJ
ejpam-5197	46	14	estimated	estimate	VERB
ejpam-5197	46	15	the	the	DET
ejpam-5197	46	16	delay	delay	NOUN
ejpam-5197	46	17	term	term	NOUN
ejpam-5197	46	18	by	by	ADP
ejpam-5197	46	19	an	an	DET
ejpam-5197	46	20	interpolation	interpolation	NOUN
ejpam-5197	46	21	polynomial	polynomial	NOUN
ejpam-5197	46	22	.	.	PUNCT
ejpam-5197	47	1	this	this	DET
ejpam-5197	47	2	method	method	NOUN
ejpam-5197	47	3	is	be	AUX
ejpam-5197	47	4	stable	stable	ADJ
ejpam-5197	47	5	,	,	PUNCT
ejpam-5197	47	6	conservative	conservative	ADJ
ejpam-5197	47	7	and	and	CCONJ
ejpam-5197	47	8	has	have	VERB
ejpam-5197	47	9	high	high	ADJ
ejpam-5197	47	10	accuracy	accuracy	NOUN
ejpam-5197	47	11	but	but	CCONJ
ejpam-5197	47	12	for	for	ADP
ejpam-5197	47	13	delayed	delayed	ADJ
ejpam-5197	47	14	systems	system	NOUN
ejpam-5197	47	15	is	be	AUX
ejpam-5197	47	16	weak	weak	ADJ
ejpam-5197	47	17	.	.	PUNCT
ejpam-5197	48	1	polyanin	polyanin	NOUN
ejpam-5197	48	2	and	and	CCONJ
ejpam-5197	48	3	zhurove	zhurove	NOUN
ejpam-5197	49	1	[	[	X
ejpam-5197	49	2	23	23	NUM
ejpam-5197	49	3	]	]	PUNCT
ejpam-5197	49	4	applied	apply	VERB
ejpam-5197	49	5	another	another	DET
ejpam-5197	49	6	method	method	NOUN
ejpam-5197	49	7	for	for	ADP
ejpam-5197	49	8	drd	drd	NOUN
ejpam-5197	49	9	equation	equation	NOUN
ejpam-5197	49	10	where	where	SCONJ
ejpam-5197	49	11	the	the	DET
ejpam-5197	49	12	solution	solution	NOUN
ejpam-5197	49	13	is	be	AUX
ejpam-5197	49	14	considered	consider	VERB
ejpam-5197	49	15	as	as	ADP
ejpam-5197	49	16	product	product	NOUN
ejpam-5197	49	17	of	of	ADP
ejpam-5197	49	18	two	two	NUM
ejpam-5197	49	19	functions	function	NOUN
ejpam-5197	49	20	that	that	PRON
ejpam-5197	49	21	defined	define	VERB
ejpam-5197	49	22	in	in	ADP
ejpam-5197	49	23	the	the	DET
ejpam-5197	49	24	form	form	NOUN
ejpam-5197	49	25	additional	additional	ADJ
ejpam-5197	49	26	functional	functional	ADJ
ejpam-5197	49	27	limitations	limitation	NOUN
ejpam-5197	49	28	and	and	CCONJ
ejpam-5197	49	29	delayed	delay	VERB
ejpam-5197	49	30	pde	pde	NOUN
ejpam-5197	49	31	.	.	PUNCT
ejpam-5197	50	1	in	in	ADP
ejpam-5197	50	2	this	this	DET
ejpam-5197	50	3	method	method	NOUN
ejpam-5197	50	4	,	,	PUNCT
ejpam-5197	50	5	all	all	PRON
ejpam-5197	50	6	of	of	ADP
ejpam-5197	50	7	the	the	DET
ejpam-5197	50	8	solutions	solution	NOUN
ejpam-5197	50	9	have	have	VERB
ejpam-5197	50	10	some	some	DET
ejpam-5197	50	11	free	free	ADJ
ejpam-5197	50	12	parameters	parameter	NOUN
ejpam-5197	50	13	that	that	PRON
ejpam-5197	50	14	are	be	AUX
ejpam-5197	50	15	suitable	suitable	ADJ
ejpam-5197	50	16	for	for	ADP
ejpam-5197	50	17	the	the	DET
ejpam-5197	50	18	main	main	ADJ
ejpam-5197	50	19	equations	equation	NOUN
ejpam-5197	50	20	.	.	PUNCT
ejpam-5197	51	1	chen	chen	PROPN
ejpam-5197	52	1	[	[	X
ejpam-5197	52	2	4	4	X
ejpam-5197	52	3	]	]	PUNCT
ejpam-5197	52	4	proposed	propose	VERB
ejpam-5197	52	5	the	the	DET
ejpam-5197	52	6	linear	linear	ADJ
ejpam-5197	52	7	compact	compact	ADJ
ejpam-5197	52	8	θ	θ	PROPN
ejpam-5197	52	9	method	method	NOUN
ejpam-5197	52	10	for	for	ADP
ejpam-5197	52	11	drd	drd	NOUN
ejpam-5197	52	12	equation	equation	NOUN
ejpam-5197	52	13	.	.	PUNCT
ejpam-5197	53	1	[	[	X
ejpam-5197	53	2	30	30	NUM
ejpam-5197	53	3	]	]	X
ejpam-5197	53	4	utilized	utilize	VERB
ejpam-5197	53	5	a	a	DET
ejpam-5197	53	6	method	method	NOUN
ejpam-5197	53	7	of	of	ADP
ejpam-5197	53	8	reduction	reduction	NOUN
ejpam-5197	53	9	lines	line	NOUN
ejpam-5197	53	10	and	and	CCONJ
ejpam-5197	53	11	finite	finite	VERB
ejpam-5197	53	12	differences	difference	NOUN
ejpam-5197	53	13	to	to	PART
ejpam-5197	53	14	convert	convert	VERB
ejpam-5197	53	15	the	the	DET
ejpam-5197	53	16	drd	drd	NOUN
ejpam-5197	53	17	equation	equation	NOUN
ejpam-5197	53	18	to	to	ADP
ejpam-5197	53	19	a	a	DET
ejpam-5197	53	20	system	system	NOUN
ejpam-5197	53	21	of	of	ADP
ejpam-5197	53	22	ordinary	ordinary	ADJ
ejpam-5197	53	23	differential	differential	ADJ
ejpam-5197	53	24	equations	equation	NOUN
ejpam-5197	53	25	.	.	PUNCT
ejpam-5197	54	1	by	by	ADP
ejpam-5197	54	2	this	this	DET
ejpam-5197	54	3	method	method	NOUN
ejpam-5197	54	4	,	,	PUNCT
ejpam-5197	54	5	error	error	NOUN
ejpam-5197	54	6	is	be	AUX
ejpam-5197	54	7	reduced	reduce	VERB
ejpam-5197	54	8	when	when	SCONJ
ejpam-5197	54	9	all	all	DET
ejpam-5197	54	10	exact	exact	ADJ
ejpam-5197	54	11	and	and	CCONJ
ejpam-5197	54	12	numerical	numerical	ADJ
ejpam-5197	54	13	solutions	solution	NOUN
ejpam-5197	54	14	tend	tend	VERB
ejpam-5197	54	15	to	to	ADP
ejpam-5197	54	16	zero	zero	NUM
ejpam-5197	54	17	.	.	PUNCT
ejpam-5197	55	1	l.	l.	PROPN
ejpam-5197	55	2	liu	liu	PROPN
ejpam-5197	55	3	and	and	CCONJ
ejpam-5197	55	4	j.	j.	PROPN
ejpam-5197	55	5	nieto	nieto	PROPN
ejpam-5197	56	1	[	[	X
ejpam-5197	56	2	20	20	NUM
ejpam-5197	56	3	]	]	PUNCT
ejpam-5197	56	4	investigated	investigate	VERB
ejpam-5197	56	5	the	the	DET
ejpam-5197	56	6	asymptotic	asymptotic	ADJ
ejpam-5197	56	7	behavior	behavior	NOUN
ejpam-5197	56	8	of	of	ADP
ejpam-5197	56	9	fractional	fractional	ADJ
ejpam-5197	56	10	drd	drd	NOUN
ejpam-5197	56	11	equation	equation	NOUN
ejpam-5197	56	12	.	.	PUNCT
ejpam-5197	57	1	they	they	PRON
ejpam-5197	57	2	proved	prove	VERB
ejpam-5197	57	3	the	the	DET
ejpam-5197	57	4	existence	existence	NOUN
ejpam-5197	57	5	and	and	CCONJ
ejpam-5197	57	6	uniqueness	uniqueness	NOUN
ejpam-5197	57	7	of	of	ADP
ejpam-5197	57	8	the	the	DET
ejpam-5197	57	9	solution	solution	NOUN
ejpam-5197	57	10	in	in	ADP
ejpam-5197	57	11	the	the	DET
ejpam-5197	57	12	sense	sense	NOUN
ejpam-5197	57	13	of	of	ADP
ejpam-5197	57	14	weak	weak	ADJ
ejpam-5197	57	15	solution	solution	NOUN
ejpam-5197	57	16	with	with	ADP
ejpam-5197	57	17	using	use	VERB
ejpam-5197	57	18	the	the	DET
ejpam-5197	57	19	classic	classic	ADJ
ejpam-5197	57	20	galerkin	galerkin	ADJ
ejpam-5197	57	21	approximation	approximation	NOUN
ejpam-5197	57	22	method	method	NOUN
ejpam-5197	57	23	and	and	CCONJ
ejpam-5197	57	24	comparison	comparison	NOUN
ejpam-5197	57	25	principal	principal	NOUN
ejpam-5197	57	26	.	.	PUNCT
ejpam-5197	58	1	according	accord	VERB
ejpam-5197	58	2	to	to	ADP
ejpam-5197	58	3	the	the	DET
ejpam-5197	58	4	knowledge	knowledge	NOUN
ejpam-5197	58	5	that	that	PRON
ejpam-5197	58	6	we	we	PRON
ejpam-5197	58	7	have	have	VERB
ejpam-5197	58	8	the	the	DET
ejpam-5197	58	9	existing	exist	VERB
ejpam-5197	58	10	methods	method	NOUN
ejpam-5197	58	11	for	for	ADP
ejpam-5197	58	12	delayed	delay	VERB
ejpam-5197	58	13	partial	partial	ADJ
ejpam-5197	58	14	differential	differential	NOUN
ejpam-5197	58	15	equations	equation	NOUN
ejpam-5197	58	16	,	,	PUNCT
ejpam-5197	58	17	especially	especially	ADV
ejpam-5197	58	18	the	the	DET
ejpam-5197	58	19	drd	drd	PROPN
ejpam-5197	58	20	equations	equation	NOUN
ejpam-5197	58	21	,	,	PUNCT
ejpam-5197	58	22	it	it	PRON
ejpam-5197	58	23	is	be	AUX
ejpam-5197	58	24	still	still	ADV
ejpam-5197	58	25	felt	feel	VERB
ejpam-5197	58	26	to	to	PART
ejpam-5197	58	27	solve	solve	VERB
ejpam-5197	58	28	these	these	DET
ejpam-5197	58	29	equations	equation	NOUN
ejpam-5197	58	30	with	with	ADP
ejpam-5197	58	31	an	an	DET
ejpam-5197	58	32	efficient	efficient	ADJ
ejpam-5197	58	33	method	method	NOUN
ejpam-5197	58	34	with	with	ADP
ejpam-5197	58	35	a	a	DET
ejpam-5197	58	36	suitable	suitable	ADJ
ejpam-5197	58	37	convergence	convergence	NOUN
ejpam-5197	58	38	rate	rate	NOUN
ejpam-5197	58	39	and	and	CCONJ
ejpam-5197	58	40	high	high	ADJ
ejpam-5197	58	41	accuracy	accuracy	NOUN
ejpam-5197	58	42	.	.	PUNCT
ejpam-5197	59	1	on	on	ADP
ejpam-5197	59	2	the	the	DET
ejpam-5197	59	3	other	other	ADJ
ejpam-5197	59	4	hand	hand	NOUN
ejpam-5197	59	5	,	,	PUNCT
ejpam-5197	59	6	spectral	spectral	ADJ
ejpam-5197	59	7	and	and	CCONJ
ejpam-5197	59	8	pseudo	pseudo	NOUN
ejpam-5197	59	9	-	-	ADJ
ejpam-5197	59	10	spectral	spectral	ADJ
ejpam-5197	59	11	methods	method	NOUN
ejpam-5197	59	12	[	[	X
ejpam-5197	59	13	8–10	8–10	NOUN
ejpam-5197	59	14	,	,	PUNCT
ejpam-5197	59	15	24	24	NUM
ejpam-5197	59	16	,	,	PUNCT
ejpam-5197	59	17	37	37	NUM
ejpam-5197	59	18	]	]	PUNCT
ejpam-5197	59	19	are	be	AUX
ejpam-5197	59	20	one	one	NUM
ejpam-5197	59	21	of	of	ADP
ejpam-5197	59	22	the	the	DET
ejpam-5197	59	23	most	most	ADV
ejpam-5197	59	24	efficient	efficient	ADJ
ejpam-5197	59	25	and	and	CCONJ
ejpam-5197	59	26	useful	useful	ADJ
ejpam-5197	59	27	methods	method	NOUN
ejpam-5197	59	28	for	for	ADP
ejpam-5197	59	29	solving	solve	VERB
ejpam-5197	59	30	continuous	continuous	ADJ
ejpam-5197	59	31	-	-	PUNCT
ejpam-5197	59	32	time	time	NOUN
ejpam-5197	59	33	problems	problem	NOUN
ejpam-5197	59	34	such	such	ADJ
ejpam-5197	59	35	as	as	ADP
ejpam-5197	59	36	delayed	delay	VERB
ejpam-5197	59	37	/	/	SYM
ejpam-5197	59	38	non	non	ADJ
ejpam-5197	59	39	-	-	ADJ
ejpam-5197	59	40	delayed	delayed	ADJ
ejpam-5197	59	41	ordinary	ordinary	ADJ
ejpam-5197	59	42	and	and	CCONJ
ejpam-5197	59	43	partial	partial	ADJ
ejpam-5197	59	44	differential	differential	ADJ
ejpam-5197	59	45	equations	equation	NOUN
ejpam-5197	59	46	.	.	PUNCT
ejpam-5197	60	1	these	these	DET
ejpam-5197	60	2	methods	method	NOUN
ejpam-5197	60	3	have	have	VERB
ejpam-5197	60	4	a	a	DET
ejpam-5197	60	5	good	good	ADJ
ejpam-5197	60	6	accuracy	accuracy	NOUN
ejpam-5197	60	7	and	and	CCONJ
ejpam-5197	60	8	high	high	ADJ
ejpam-5197	60	9	speed	speed	NOUN
ejpam-5197	60	10	convergence	convergence	NOUN
ejpam-5197	60	11	compared	compare	VERB
ejpam-5197	60	12	with	with	ADP
ejpam-5197	60	13	those	those	PRON
ejpam-5197	60	14	of	of	ADP
ejpam-5197	60	15	other	other	ADJ
ejpam-5197	60	16	methods	method	NOUN
ejpam-5197	60	17	.	.	PUNCT
ejpam-5197	61	1	hence	hence	ADV
ejpam-5197	61	2	,	,	PUNCT
ejpam-5197	61	3	in	in	ADP
ejpam-5197	61	4	this	this	DET
ejpam-5197	61	5	paper	paper	NOUN
ejpam-5197	61	6	,	,	PUNCT
ejpam-5197	61	7	we	we	PRON
ejpam-5197	61	8	solve	solve	VERB
ejpam-5197	61	9	m.	m.	NOUN
ejpam-5197	61	10	ghovatmand	ghovatmand	PROPN
ejpam-5197	61	11	et	et	PROPN
ejpam-5197	61	12	al	al	PROPN
ejpam-5197	61	13	.	.	PUNCT
ejpam-5197	61	14	/	/	SYM
ejpam-5197	61	15	eur	eur	PROPN
ejpam-5197	61	16	.	.	PUNCT
ejpam-5197	62	1	j.	j.	PROPN
ejpam-5197	62	2	pure	pure	PROPN
ejpam-5197	62	3	appl	appl	PROPN
ejpam-5197	62	4	.	.	PROPN
ejpam-5197	62	5	math	math	PROPN
ejpam-5197	62	6	,	,	PUNCT
ejpam-5197	62	7	17	17	NUM
ejpam-5197	62	8	(	(	PUNCT
ejpam-5197	62	9	3	3	NUM
ejpam-5197	62	10	)	)	PUNCT
ejpam-5197	62	11	(	(	PUNCT
ejpam-5197	62	12	2024	2024	NUM
ejpam-5197	62	13	)	)	PUNCT
ejpam-5197	62	14	,	,	PUNCT
ejpam-5197	62	15	1565	1565	NUM
ejpam-5197	62	16	-	-	SYM
ejpam-5197	62	17	1584	1584	NUM
ejpam-5197	62	18	1567	1567	NUM
ejpam-5197	62	19	drd	drd	NOUN
ejpam-5197	62	20	equation	equation	NOUN
ejpam-5197	62	21	by	by	ADP
ejpam-5197	62	22	using	use	VERB
ejpam-5197	62	23	a	a	DET
ejpam-5197	62	24	new	new	ADJ
ejpam-5197	62	25	convergent	convergent	NOUN
ejpam-5197	62	26	pseudo	pseudo	NOUN
ejpam-5197	62	27	-	-	ADJ
ejpam-5197	62	28	spectral	spectral	ADJ
ejpam-5197	62	29	collocation	collocation	NOUN
ejpam-5197	62	30	method	method	NOUN
ejpam-5197	62	31	.	.	PUNCT
ejpam-5197	63	1	the	the	DET
ejpam-5197	63	2	drd	drd	PROPN
ejpam-5197	63	3	equation	equation	NOUN
ejpam-5197	63	4	is	be	AUX
ejpam-5197	63	5	first	first	ADV
ejpam-5197	63	6	converted	convert	VERB
ejpam-5197	63	7	into	into	ADP
ejpam-5197	63	8	two	two	NUM
ejpam-5197	63	9	parts	part	NOUN
ejpam-5197	63	10	:	:	PUNCT
ejpam-5197	63	11	after	after	ADP
ejpam-5197	63	12	delay	delay	NOUN
ejpam-5197	63	13	time	time	NOUN
ejpam-5197	63	14	and	and	CCONJ
ejpam-5197	63	15	before	before	ADP
ejpam-5197	63	16	delay	delay	NOUN
ejpam-5197	63	17	time	time	NOUN
ejpam-5197	63	18	.	.	PUNCT
ejpam-5197	64	1	an	an	DET
ejpam-5197	64	2	equivalent	equivalent	ADJ
ejpam-5197	64	3	system	system	NOUN
ejpam-5197	64	4	of	of	ADP
ejpam-5197	64	5	equations	equation	NOUN
ejpam-5197	64	6	is	be	AUX
ejpam-5197	64	7	then	then	ADV
ejpam-5197	64	8	gained	gain	VERB
ejpam-5197	64	9	by	by	ADP
ejpam-5197	64	10	inserting	insert	VERB
ejpam-5197	64	11	the	the	DET
ejpam-5197	64	12	delay	delay	NOUN
ejpam-5197	64	13	time	time	NOUN
ejpam-5197	64	14	-	-	PUNCT
ejpam-5197	64	15	function	function	NOUN
ejpam-5197	64	16	in	in	ADP
ejpam-5197	64	17	drd	drd	NOUN
ejpam-5197	64	18	equation	equation	NOUN
ejpam-5197	64	19	.	.	PUNCT
ejpam-5197	65	1	the	the	DET
ejpam-5197	65	2	achieved	achieve	VERB
ejpam-5197	65	3	system	system	NOUN
ejpam-5197	65	4	is	be	AUX
ejpam-5197	65	5	discretized	discretize	VERB
ejpam-5197	65	6	and	and	CCONJ
ejpam-5197	65	7	converted	convert	VERB
ejpam-5197	65	8	into	into	ADP
ejpam-5197	65	9	an	an	DET
ejpam-5197	65	10	algebraic	algebraic	ADJ
ejpam-5197	65	11	system	system	NOUN
ejpam-5197	65	12	of	of	ADP
ejpam-5197	65	13	equations	equation	NOUN
ejpam-5197	65	14	using	use	VERB
ejpam-5197	65	15	two	two	NUM
ejpam-5197	65	16	-	-	PUNCT
ejpam-5197	65	17	dimensional	dimensional	ADJ
ejpam-5197	65	18	lagrange	lagrange	NOUN
ejpam-5197	65	19	polynomial	polynomial	NOUN
ejpam-5197	65	20	and	and	CCONJ
ejpam-5197	65	21	based	base	VERB
ejpam-5197	65	22	on	on	ADP
ejpam-5197	65	23	the	the	DET
ejpam-5197	65	24	legendre	legendre	NOUN
ejpam-5197	65	25	-	-	PUNCT
ejpam-5197	65	26	gausslobatto	gausslobatto	ADJ
ejpam-5197	65	27	(	(	PUNCT
ejpam-5197	65	28	lgl	lgl	ADJ
ejpam-5197	65	29	)	)	PUNCT
ejpam-5197	65	30	points	point	NOUN
ejpam-5197	65	31	.	.	PUNCT
ejpam-5197	66	1	solving	solve	VERB
ejpam-5197	66	2	the	the	DET
ejpam-5197	66	3	last	last	ADJ
ejpam-5197	66	4	system	system	NOUN
ejpam-5197	66	5	,	,	PUNCT
ejpam-5197	66	6	tends	tend	VERB
ejpam-5197	66	7	to	to	ADP
ejpam-5197	66	8	the	the	DET
ejpam-5197	66	9	approximate	approximate	ADJ
ejpam-5197	66	10	solutions	solution	NOUN
ejpam-5197	66	11	for	for	ADP
ejpam-5197	66	12	the	the	DET
ejpam-5197	66	13	drd	drd	PROPN
ejpam-5197	66	14	equation	equation	NOUN
ejpam-5197	66	15	.	.	PUNCT
ejpam-5197	67	1	we	we	PRON
ejpam-5197	67	2	analyze	analyze	VERB
ejpam-5197	67	3	the	the	DET
ejpam-5197	67	4	convergence	convergence	NOUN
ejpam-5197	67	5	of	of	ADP
ejpam-5197	67	6	our	our	PRON
ejpam-5197	67	7	proposed	propose	VERB
ejpam-5197	67	8	method	method	NOUN
ejpam-5197	67	9	based	base	VERB
ejpam-5197	67	10	on	on	ADP
ejpam-5197	67	11	the	the	DET
ejpam-5197	67	12	modulus	modulus	NOUN
ejpam-5197	67	13	of	of	ADP
ejpam-5197	67	14	continuity	continuity	NOUN
ejpam-5197	67	15	functions	function	NOUN
ejpam-5197	67	16	and	and	CCONJ
ejpam-5197	67	17	its	its	PRON
ejpam-5197	67	18	corresponding	correspond	VERB
ejpam-5197	67	19	space	space	NOUN
ejpam-5197	67	20	and	and	CCONJ
ejpam-5197	67	21	norm	norm	NOUN
ejpam-5197	67	22	.	.	PUNCT
ejpam-5197	68	1	also	also	ADV
ejpam-5197	68	2	,	,	PUNCT
ejpam-5197	68	3	we	we	PRON
ejpam-5197	68	4	show	show	VERB
ejpam-5197	68	5	its	its	PRON
ejpam-5197	68	6	efficiency	efficiency	NOUN
ejpam-5197	68	7	with	with	ADP
ejpam-5197	68	8	several	several	ADJ
ejpam-5197	68	9	comparative	comparative	ADJ
ejpam-5197	68	10	numerical	numerical	ADJ
ejpam-5197	68	11	examples	example	NOUN
ejpam-5197	68	12	.	.	PUNCT
ejpam-5197	69	1	this	this	DET
ejpam-5197	69	2	article	article	NOUN
ejpam-5197	69	3	contains	contain	VERB
ejpam-5197	69	4	the	the	DET
ejpam-5197	69	5	following	follow	VERB
ejpam-5197	69	6	sections	section	NOUN
ejpam-5197	69	7	.	.	PUNCT
ejpam-5197	70	1	in	in	ADP
ejpam-5197	70	2	section	section	NOUN
ejpam-5197	70	3	2	2	NUM
ejpam-5197	70	4	and	and	CCONJ
ejpam-5197	70	5	3	3	NUM
ejpam-5197	70	6	,	,	PUNCT
ejpam-5197	70	7	we	we	PRON
ejpam-5197	70	8	introduce	introduce	VERB
ejpam-5197	70	9	a	a	DET
ejpam-5197	70	10	general	general	ADJ
ejpam-5197	70	11	form	form	NOUN
ejpam-5197	70	12	of	of	ADP
ejpam-5197	70	13	drd	drd	NOUN
ejpam-5197	70	14	equation	equation	NOUN
ejpam-5197	70	15	and	and	CCONJ
ejpam-5197	70	16	implement	implement	VERB
ejpam-5197	70	17	our	our	PRON
ejpam-5197	70	18	method	method	NOUN
ejpam-5197	70	19	for	for	ADP
ejpam-5197	70	20	solving	solve	VERB
ejpam-5197	70	21	it	it	PRON
ejpam-5197	70	22	,	,	PUNCT
ejpam-5197	70	23	respectively	respectively	ADV
ejpam-5197	70	24	.	.	PUNCT
ejpam-5197	71	1	in	in	ADP
ejpam-5197	71	2	section	section	NOUN
ejpam-5197	71	3	4	4	NUM
ejpam-5197	71	4	,	,	PUNCT
ejpam-5197	71	5	we	we	PRON
ejpam-5197	71	6	discuss	discuss	VERB
ejpam-5197	71	7	the	the	DET
ejpam-5197	71	8	convergence	convergence	NOUN
ejpam-5197	71	9	of	of	ADP
ejpam-5197	71	10	method	method	NOUN
ejpam-5197	71	11	and	and	CCONJ
ejpam-5197	71	12	in	in	ADP
ejpam-5197	71	13	section	section	NOUN
ejpam-5197	71	14	5	5	NUM
ejpam-5197	71	15	we	we	PRON
ejpam-5197	71	16	illustrate	illustrate	VERB
ejpam-5197	71	17	its	its	PRON
ejpam-5197	71	18	validity	validity	NOUN
ejpam-5197	71	19	by	by	ADP
ejpam-5197	71	20	solving	solve	VERB
ejpam-5197	71	21	some	some	DET
ejpam-5197	71	22	numerical	numerical	ADJ
ejpam-5197	71	23	comparative	comparative	ADJ
ejpam-5197	71	24	examples	example	NOUN
ejpam-5197	71	25	.	.	PUNCT
ejpam-5197	72	1	2	2	X
ejpam-5197	72	2	.	.	NOUN
ejpam-5197	72	3	difference	difference	NOUN
ejpam-5197	72	4	delayed	delay	VERB
ejpam-5197	72	5	reaction	reaction	NOUN
ejpam-5197	72	6	-	-	PUNCT
ejpam-5197	72	7	diffusion	diffusion	NOUN
ejpam-5197	72	8	equation	equation	NOUN
ejpam-5197	72	9	consider	consider	VERB
ejpam-5197	72	10	the	the	DET
ejpam-5197	72	11	following	follow	VERB
ejpam-5197	72	12	form	form	NOUN
ejpam-5197	72	13	of	of	ADP
ejpam-5197	72	14	drd	drd	PROPN
ejpam-5197	72	15	equations	equation	NOUN
ejpam-5197	72	16	ηζ(ζ	ηζ(ζ	NUM
ejpam-5197	72	17	,	,	PUNCT
ejpam-5197	72	18	ι	ι	PROPN
ejpam-5197	72	19	)	)	PUNCT
ejpam-5197	73	1	=	=	SYM
ejpam-5197	73	2	z(ζ	z(ζ	PROPN
ejpam-5197	73	3	,	,	PUNCT
ejpam-5197	73	4	ι	ι	X
ejpam-5197	73	5	,	,	PUNCT
ejpam-5197	73	6	η(ζ	η(ζ	ADJ
ejpam-5197	73	7	,	,	PUNCT
ejpam-5197	73	8	ι	ι	PROPN
ejpam-5197	73	9	)	)	PUNCT
ejpam-5197	73	10	,	,	PUNCT
ejpam-5197	73	11	η(ζ	η(ζ	PROPN
ejpam-5197	73	12	−	−	PROPN
ejpam-5197	73	13	µ	µ	NUM
ejpam-5197	73	14	,	,	PUNCT
ejpam-5197	73	15	ι	ι	PROPN
ejpam-5197	73	16	)	)	PUNCT
ejpam-5197	73	17	,	,	PUNCT
ejpam-5197	73	18	ηιι	ηιι	PROPN
ejpam-5197	73	19	)	)	PUNCT
ejpam-5197	73	20	,	,	PUNCT
ejpam-5197	73	21	(	(	PUNCT
ejpam-5197	73	22	ζ	ζ	X
ejpam-5197	73	23	,	,	PUNCT
ejpam-5197	73	24	ι	ι	NOUN
ejpam-5197	73	25	)	)	PUNCT
ejpam-5197	73	26	∈	∈	PROPN
ejpam-5197	74	1	[	[	X
ejpam-5197	74	2	0,m	0,m	X
ejpam-5197	74	3	]	]	X
ejpam-5197	74	4	×	×	NOUN
ejpam-5197	74	5	[	[	X
ejpam-5197	74	6	0	0	NUM
ejpam-5197	74	7	,	,	PUNCT
ejpam-5197	74	8	p	p	X
ejpam-5197	74	9	]	]	X
ejpam-5197	74	10	,	,	PUNCT
ejpam-5197	74	11	(	(	PUNCT
ejpam-5197	74	12	1	1	X
ejpam-5197	74	13	)	)	PUNCT
ejpam-5197	74	14	with	with	ADP
ejpam-5197	74	15	following	follow	VERB
ejpam-5197	74	16	initial	initial	ADJ
ejpam-5197	74	17	and	and	CCONJ
ejpam-5197	74	18	boundary	boundary	ADJ
ejpam-5197	74	19	conditions	condition	NOUN
ejpam-5197	74	20	η(ζ	η(ζ	PROPN
ejpam-5197	74	21	,	,	PUNCT
ejpam-5197	74	22	ι	ι	PROPN
ejpam-5197	74	23	)	)	PUNCT
ejpam-5197	74	24	=	=	SYM
ejpam-5197	74	25	φ(ζ	φ(ζ	PROPN
ejpam-5197	74	26	,	,	PUNCT
ejpam-5197	74	27	ι	ι	PROPN
ejpam-5197	74	28	)	)	PUNCT
ejpam-5197	74	29	,	,	PUNCT
ejpam-5197	74	30	(	(	PUNCT
ejpam-5197	74	31	ζ	ζ	X
ejpam-5197	74	32	,	,	PUNCT
ejpam-5197	74	33	ι	ι	NOUN
ejpam-5197	74	34	)	)	PUNCT
ejpam-5197	74	35	∈	∈	PROPN
ejpam-5197	75	1	[	[	X
ejpam-5197	75	2	−µ	−µ	NOUN
ejpam-5197	75	3	,	,	PUNCT
ejpam-5197	75	4	0]×	0]×	PROPN
ejpam-5197	76	1	[	[	X
ejpam-5197	76	2	0	0	NUM
ejpam-5197	76	3	,	,	PUNCT
ejpam-5197	76	4	p	p	X
ejpam-5197	76	5	]	]	X
ejpam-5197	76	6	,	,	PUNCT
ejpam-5197	76	7	(	(	PUNCT
ejpam-5197	76	8	2	2	X
ejpam-5197	76	9	)	)	PUNCT
ejpam-5197	76	10	η(ζ	η(ζ	NOUN
ejpam-5197	76	11	,	,	PUNCT
ejpam-5197	76	12	0	0	NUM
ejpam-5197	76	13	)	)	PUNCT
ejpam-5197	76	14	=	=	SYM
ejpam-5197	76	15	g1(ζ	g1(ζ	PROPN
ejpam-5197	76	16	)	)	PUNCT
ejpam-5197	76	17	,	,	PUNCT
ejpam-5197	76	18	η(ζ	η(ζ	PROPN
ejpam-5197	76	19	,	,	PUNCT
ejpam-5197	76	20	p	p	NOUN
ejpam-5197	76	21	)	)	PUNCT
ejpam-5197	76	22	=	=	SYM
ejpam-5197	76	23	g2(ζ	g2(ζ	NOUN
ejpam-5197	76	24	)	)	PUNCT
ejpam-5197	76	25	,	,	PUNCT
ejpam-5197	76	26	ζ	ζ	PROPN
ejpam-5197	76	27	∈	∈	PROPN
ejpam-5197	77	1	[	[	X
ejpam-5197	77	2	0,m	0,m	X
ejpam-5197	77	3	]	]	X
ejpam-5197	77	4	(	(	PUNCT
ejpam-5197	77	5	3	3	X
ejpam-5197	77	6	)	)	PUNCT
ejpam-5197	77	7	where	where	SCONJ
ejpam-5197	77	8	µ	µ	NOUN
ejpam-5197	77	9	is	be	AUX
ejpam-5197	77	10	the	the	DET
ejpam-5197	77	11	delay	delay	NOUN
ejpam-5197	77	12	constant	constant	ADJ
ejpam-5197	77	13	and	and	CCONJ
ejpam-5197	77	14	z	z	PROPN
ejpam-5197	77	15	,	,	PUNCT
ejpam-5197	77	16	φ	φ	PROPN
ejpam-5197	77	17	,	,	PUNCT
ejpam-5197	77	18	g1	g1	PROPN
ejpam-5197	77	19	,	,	PUNCT
ejpam-5197	77	20	g2	g2	PROPN
ejpam-5197	77	21	are	be	AUX
ejpam-5197	77	22	given	give	VERB
ejpam-5197	77	23	smooth	smooth	ADJ
ejpam-5197	77	24	functions	function	NOUN
ejpam-5197	77	25	.	.	PUNCT
ejpam-5197	78	1	the	the	DET
ejpam-5197	78	2	specific	specific	ADJ
ejpam-5197	78	3	form	form	NOUN
ejpam-5197	78	4	of	of	ADP
ejpam-5197	78	5	equation	equation	NOUN
ejpam-5197	78	6	(	(	PUNCT
ejpam-5197	78	7	1	1	NUM
ejpam-5197	78	8	)	)	PUNCT
ejpam-5197	78	9	by	by	ADP
ejpam-5197	78	10	conditions	condition	NOUN
ejpam-5197	78	11	(	(	PUNCT
ejpam-5197	78	12	2	2	NUM
ejpam-5197	78	13	)	)	PUNCT
ejpam-5197	78	14	and	and	CCONJ
ejpam-5197	78	15	(	(	PUNCT
ejpam-5197	78	16	3	3	X
ejpam-5197	78	17	)	)	PUNCT
ejpam-5197	78	18	can	can	AUX
ejpam-5197	78	19	be	be	AUX
ejpam-5197	78	20	stated	state	VERB
ejpam-5197	78	21	as	as	ADP
ejpam-5197	78	22	the	the	DET
ejpam-5197	78	23	following	follow	VERB
ejpam-5197	78	24	system	system	NOUN
ejpam-5197	78	25	which	which	PRON
ejpam-5197	78	26	has	have	AUX
ejpam-5197	78	27	been	be	AUX
ejpam-5197	78	28	studied	study	VERB
ejpam-5197	78	29	by	by	ADP
ejpam-5197	78	30	many	many	ADJ
ejpam-5197	78	31	researchers	researcher	NOUN
ejpam-5197	78	32	in	in	ADP
ejpam-5197	78	33	recent	recent	ADJ
ejpam-5197	78	34	years	year	NOUN
ejpam-5197	78	35	[	[	X
ejpam-5197	78	36	15	15	NUM
ejpam-5197	78	37	,	,	PUNCT
ejpam-5197	78	38	16]	16]	NUM
ejpam-5197	78	39	ηζ(ζ	ηζ(ζ	NUM
ejpam-5197	78	40	,	,	PUNCT
ejpam-5197	78	41	ι	ι	PROPN
ejpam-5197	78	42	)	)	PUNCT
ejpam-5197	78	43	=	=	SYM
ejpam-5197	78	44	ηιι(ζ	ηιι(ζ	PROPN
ejpam-5197	78	45	,	,	PUNCT
ejpam-5197	78	46	ι	ι	X
ejpam-5197	78	47	)	)	PUNCT
ejpam-5197	79	1	+	+	CCONJ
ejpam-5197	79	2	η(ζ	η(ζ	PROPN
ejpam-5197	79	3	−	−	PROPN
ejpam-5197	79	4	µ	µ	NOUN
ejpam-5197	79	5	,	,	PUNCT
ejpam-5197	79	6	ι	ι	PROPN
ejpam-5197	79	7	)	)	PUNCT
ejpam-5197	79	8	,	,	PUNCT
ejpam-5197	79	9	(	(	PUNCT
ejpam-5197	79	10	ζ	ζ	X
ejpam-5197	79	11	,	,	PUNCT
ejpam-5197	79	12	ι	ι	NOUN
ejpam-5197	79	13	)	)	PUNCT
ejpam-5197	79	14	∈	∈	PROPN
ejpam-5197	80	1	[	[	X
ejpam-5197	80	2	0,m	0,m	X
ejpam-5197	80	3	]	]	X
ejpam-5197	80	4	×	×	NOUN
ejpam-5197	80	5	[	[	X
ejpam-5197	80	6	0	0	NUM
ejpam-5197	80	7	,	,	PUNCT
ejpam-5197	80	8	p	p	X
ejpam-5197	80	9	]	]	X
ejpam-5197	80	10	η(ζ	η(ζ	ADJ
ejpam-5197	80	11	,	,	PUNCT
ejpam-5197	80	12	ι	ι	PROPN
ejpam-5197	80	13	)	)	PUNCT
ejpam-5197	80	14	=	=	SYM
ejpam-5197	80	15	φ(ζ	φ(ζ	PROPN
ejpam-5197	80	16	,	,	PUNCT
ejpam-5197	80	17	ι	ι	PROPN
ejpam-5197	80	18	)	)	PUNCT
ejpam-5197	80	19	,	,	PUNCT
ejpam-5197	80	20	(	(	PUNCT
ejpam-5197	80	21	ζ	ζ	X
ejpam-5197	80	22	,	,	PUNCT
ejpam-5197	80	23	ι	ι	NOUN
ejpam-5197	80	24	)	)	PUNCT
ejpam-5197	80	25	∈	∈	PROPN
ejpam-5197	81	1	[	[	X
ejpam-5197	81	2	−µ	−µ	NOUN
ejpam-5197	81	3	,	,	PUNCT
ejpam-5197	81	4	0]×	0]×	PROPN
ejpam-5197	82	1	[	[	X
ejpam-5197	82	2	0	0	NUM
ejpam-5197	82	3	,	,	PUNCT
ejpam-5197	82	4	p	p	X
ejpam-5197	82	5	]	]	X
ejpam-5197	82	6	,	,	PUNCT
ejpam-5197	82	7	η(ζ	η(ζ	PROPN
ejpam-5197	82	8	,	,	PUNCT
ejpam-5197	82	9	0	0	NUM
ejpam-5197	82	10	)	)	PUNCT
ejpam-5197	82	11	=	=	SYM
ejpam-5197	82	12	g1(ζ	g1(ζ	PROPN
ejpam-5197	82	13	)	)	PUNCT
ejpam-5197	82	14	,	,	PUNCT
ejpam-5197	82	15	η(ζ	η(ζ	PROPN
ejpam-5197	82	16	,	,	PUNCT
ejpam-5197	82	17	p	p	NOUN
ejpam-5197	82	18	)	)	PUNCT
ejpam-5197	82	19	=	=	SYM
ejpam-5197	82	20	g2(ζ	g2(ζ	NOUN
ejpam-5197	82	21	)	)	PUNCT
ejpam-5197	82	22	,	,	PUNCT
ejpam-5197	82	23	ζ	ζ	PROPN
ejpam-5197	82	24	∈	∈	PROPN
ejpam-5197	83	1	[	[	X
ejpam-5197	83	2	0,m	0,m	X
ejpam-5197	83	3	]	]	X
ejpam-5197	83	4	.	.	PUNCT
ejpam-5197	84	1	in	in	ADP
ejpam-5197	84	2	this	this	DET
ejpam-5197	84	3	work	work	NOUN
ejpam-5197	84	4	,	,	PUNCT
ejpam-5197	84	5	we	we	PRON
ejpam-5197	84	6	implement	implement	VERB
ejpam-5197	84	7	our	our	PRON
ejpam-5197	84	8	method	method	NOUN
ejpam-5197	84	9	for	for	ADP
ejpam-5197	84	10	general	general	ADJ
ejpam-5197	84	11	form	form	NOUN
ejpam-5197	84	12	of	of	ADP
ejpam-5197	84	13	drd	drd	NOUN
ejpam-5197	84	14	equation	equation	NOUN
ejpam-5197	84	15	.	.	PUNCT
ejpam-5197	85	1	since	since	SCONJ
ejpam-5197	85	2	the	the	DET
ejpam-5197	85	3	manner	manner	NOUN
ejpam-5197	85	4	of	of	ADP
ejpam-5197	85	5	system	system	NOUN
ejpam-5197	85	6	is	be	AUX
ejpam-5197	85	7	different	different	ADJ
ejpam-5197	85	8	before	before	ADV
ejpam-5197	85	9	and	and	CCONJ
ejpam-5197	85	10	after	after	ADP
ejpam-5197	85	11	delay	delay	NOUN
ejpam-5197	85	12	time	time	NOUN
ejpam-5197	85	13	ζ	ζ	PROPN
ejpam-5197	85	14	=	=	SYM
ejpam-5197	85	15	µ	µ	NUM
ejpam-5197	85	16	,	,	PUNCT
ejpam-5197	85	17	we	we	PRON
ejpam-5197	85	18	rewrite	rewrite	VERB
ejpam-5197	85	19	drd	drd	NOUN
ejpam-5197	85	20	equation	equation	NOUN
ejpam-5197	85	21	(	(	PUNCT
ejpam-5197	85	22	1	1	NUM
ejpam-5197	85	23	)	)	PUNCT
ejpam-5197	85	24	with	with	ADP
ejpam-5197	85	25	conditions	condition	NOUN
ejpam-5197	85	26	(	(	PUNCT
ejpam-5197	85	27	2	2	NUM
ejpam-5197	85	28	)	)	PUNCT
ejpam-5197	85	29	and	and	CCONJ
ejpam-5197	85	30	(	(	PUNCT
ejpam-5197	85	31	3	3	X
ejpam-5197	85	32	)	)	PUNCT
ejpam-5197	85	33	as	as	ADP
ejpam-5197	85	34	follows	follows	PROPN
ejpam-5197	85	35	ηζ(ζ	ηζ(ζ	SYM
ejpam-5197	85	36	,	,	PUNCT
ejpam-5197	85	37	ι	ι	PROPN
ejpam-5197	85	38	)	)	PUNCT
ejpam-5197	85	39	=	=	SYM
ejpam-5197	85	40	{	{	PUNCT
ejpam-5197	85	41	z(ζ	z(ζ	NOUN
ejpam-5197	85	42	,	,	PUNCT
ejpam-5197	85	43	ι	ι	X
ejpam-5197	85	44	,	,	PUNCT
ejpam-5197	85	45	η(ζ	η(ζ	ADJ
ejpam-5197	85	46	,	,	PUNCT
ejpam-5197	85	47	ι	ι	PROPN
ejpam-5197	85	48	)	)	PUNCT
ejpam-5197	85	49	,	,	PUNCT
ejpam-5197	85	50	φ(ζ	φ(ζ	PROPN
ejpam-5197	85	51	−	−	PROPN
ejpam-5197	85	52	µ	µ	PROPN
ejpam-5197	85	53	,	,	PUNCT
ejpam-5197	85	54	ι	ι	PROPN
ejpam-5197	85	55	)	)	PUNCT
ejpam-5197	85	56	,	,	PUNCT
ejpam-5197	85	57	ηιι(ζ	ηιι(ζ	PROPN
ejpam-5197	85	58	,	,	PUNCT
ejpam-5197	85	59	ι	ι	NOUN
ejpam-5197	85	60	)	)	PUNCT
ejpam-5197	85	61	)	)	PUNCT
ejpam-5197	85	62	,	,	PUNCT
ejpam-5197	85	63	(	(	PUNCT
ejpam-5197	85	64	ζ	ζ	X
ejpam-5197	85	65	,	,	PUNCT
ejpam-5197	85	66	ι	ι	NOUN
ejpam-5197	85	67	)	)	PUNCT
ejpam-5197	85	68	∈	∈	PROPN
ejpam-5197	86	1	[	[	X
ejpam-5197	86	2	0	0	NUM
ejpam-5197	86	3	,	,	PUNCT
ejpam-5197	86	4	µ]×	µ]×	PROPN
ejpam-5197	87	1	[	[	X
ejpam-5197	87	2	0	0	NUM
ejpam-5197	87	3	,	,	PUNCT
ejpam-5197	87	4	p	p	X
ejpam-5197	87	5	]	]	X
ejpam-5197	87	6	,	,	PUNCT
ejpam-5197	87	7	z(ζ	z(ζ	PROPN
ejpam-5197	87	8	,	,	PUNCT
ejpam-5197	87	9	ι	ι	X
ejpam-5197	87	10	,	,	PUNCT
ejpam-5197	87	11	η(ζ	η(ζ	ADJ
ejpam-5197	87	12	,	,	PUNCT
ejpam-5197	87	13	ι	ι	PROPN
ejpam-5197	87	14	)	)	PUNCT
ejpam-5197	87	15	,	,	PUNCT
ejpam-5197	87	16	η(ζ	η(ζ	PROPN
ejpam-5197	87	17	−	−	PROPN
ejpam-5197	87	18	µ	µ	NUM
ejpam-5197	87	19	,	,	PUNCT
ejpam-5197	87	20	ι	ι	PROPN
ejpam-5197	87	21	)	)	PUNCT
ejpam-5197	87	22	,	,	PUNCT
ejpam-5197	87	23	ηιι(ζ	ηιι(ζ	PROPN
ejpam-5197	87	24	,	,	PUNCT
ejpam-5197	87	25	ι	ι	NOUN
ejpam-5197	87	26	)	)	PUNCT
ejpam-5197	87	27	)	)	PUNCT
ejpam-5197	87	28	,	,	PUNCT
ejpam-5197	87	29	(	(	PUNCT
ejpam-5197	87	30	ζ	ζ	X
ejpam-5197	87	31	,	,	PUNCT
ejpam-5197	87	32	ι	ι	NOUN
ejpam-5197	87	33	)	)	PUNCT
ejpam-5197	87	34	∈	∈	PROPN
ejpam-5197	88	1	[	[	X
ejpam-5197	88	2	µ,m	µ,m	X
ejpam-5197	88	3	]	]	X
ejpam-5197	88	4	×	×	NOUN
ejpam-5197	88	5	[	[	X
ejpam-5197	88	6	0	0	NUM
ejpam-5197	88	7	,	,	PUNCT
ejpam-5197	88	8	p	p	X
ejpam-5197	88	9	]	]	X
ejpam-5197	88	10	,	,	PUNCT
ejpam-5197	88	11	η(0	η(0	PROPN
ejpam-5197	88	12	,	,	PUNCT
ejpam-5197	88	13	ι	ι	PROPN
ejpam-5197	88	14	)	)	PUNCT
ejpam-5197	88	15	=	=	SYM
ejpam-5197	89	1	φ(0	φ(0	ADJ
ejpam-5197	89	2	,	,	PUNCT
ejpam-5197	89	3	ι	ι	PROPN
ejpam-5197	89	4	)	)	PUNCT
ejpam-5197	89	5	,	,	PUNCT
ejpam-5197	89	6	ι	ι	PROPN
ejpam-5197	89	7	∈	∈	PROPN
ejpam-5197	90	1	[	[	X
ejpam-5197	90	2	0	0	NUM
ejpam-5197	90	3	,	,	PUNCT
ejpam-5197	90	4	p	p	X
ejpam-5197	90	5	]	]	X
ejpam-5197	90	6	,	,	PUNCT
ejpam-5197	90	7	η(ζ	η(ζ	PROPN
ejpam-5197	90	8	,	,	PUNCT
ejpam-5197	90	9	0	0	NUM
ejpam-5197	90	10	)	)	PUNCT
ejpam-5197	90	11	=	=	SYM
ejpam-5197	90	12	g1(ζ	g1(ζ	PROPN
ejpam-5197	90	13	)	)	PUNCT
ejpam-5197	90	14	,	,	PUNCT
ejpam-5197	90	15	η(ζ	η(ζ	PROPN
ejpam-5197	90	16	,	,	PUNCT
ejpam-5197	90	17	p	p	NOUN
ejpam-5197	90	18	)	)	PUNCT
ejpam-5197	90	19	=	=	SYM
ejpam-5197	90	20	g2(ζ	g2(ζ	NOUN
ejpam-5197	90	21	)	)	PUNCT
ejpam-5197	90	22	,	,	PUNCT
ejpam-5197	90	23	ζ	ζ	PROPN
ejpam-5197	90	24	∈	∈	PROPN
ejpam-5197	91	1	[	[	X
ejpam-5197	91	2	0,m	0,m	X
ejpam-5197	91	3	]	]	X
ejpam-5197	91	4	.	.	PUNCT
ejpam-5197	92	1	(	(	PUNCT
ejpam-5197	92	2	4	4	X
ejpam-5197	92	3	)	)	PUNCT
ejpam-5197	92	4	m.	m.	NOUN
ejpam-5197	92	5	ghovatmand	ghovatmand	NOUN
ejpam-5197	92	6	et	et	PROPN
ejpam-5197	92	7	al	al	PROPN
ejpam-5197	92	8	.	.	PUNCT
ejpam-5197	92	9	/	/	SYM
ejpam-5197	92	10	eur	eur	PROPN
ejpam-5197	92	11	.	.	PUNCT
ejpam-5197	93	1	j.	j.	PROPN
ejpam-5197	93	2	pure	pure	PROPN
ejpam-5197	93	3	appl	appl	PROPN
ejpam-5197	93	4	.	.	PROPN
ejpam-5197	93	5	math	math	PROPN
ejpam-5197	93	6	,	,	PUNCT
ejpam-5197	93	7	17	17	NUM
ejpam-5197	93	8	(	(	PUNCT
ejpam-5197	93	9	3	3	NUM
ejpam-5197	93	10	)	)	PUNCT
ejpam-5197	93	11	(	(	PUNCT
ejpam-5197	93	12	2024	2024	NUM
ejpam-5197	93	13	)	)	PUNCT
ejpam-5197	93	14	,	,	PUNCT
ejpam-5197	93	15	1565	1565	NUM
ejpam-5197	93	16	-	-	SYM
ejpam-5197	93	17	1584	1584	NUM
ejpam-5197	93	18	1568	1568	NUM
ejpam-5197	93	19	3	3	NUM
ejpam-5197	93	20	.	.	PUNCT
ejpam-5197	94	1	implementing	implement	VERB
ejpam-5197	94	2	the	the	DET
ejpam-5197	94	3	method	method	NOUN
ejpam-5197	94	4	we	we	PRON
ejpam-5197	94	5	explain	explain	VERB
ejpam-5197	94	6	the	the	DET
ejpam-5197	94	7	approximation	approximation	NOUN
ejpam-5197	94	8	solution	solution	NOUN
ejpam-5197	94	9	of	of	ADP
ejpam-5197	94	10	set	set	NOUN
ejpam-5197	94	11	(	(	PUNCT
ejpam-5197	94	12	4	4	NUM
ejpam-5197	94	13	)	)	PUNCT
ejpam-5197	94	14	in	in	ADP
ejpam-5197	94	15	form	form	NOUN
ejpam-5197	94	16	η(ζ	η(ζ	PROPN
ejpam-5197	94	17	,	,	PUNCT
ejpam-5197	94	18	ι	ι	NOUN
ejpam-5197	94	19	)	)	PUNCT
ejpam-5197	94	20	≃	≃	NOUN
ejpam-5197	94	21	ηq(ζ	ηq(ζ	NUM
ejpam-5197	94	22	,	,	PUNCT
ejpam-5197	94	23	ι	ι	PROPN
ejpam-5197	94	24	)	)	PUNCT
ejpam-5197	94	25	=	=	PUNCT
ejpam-5197	95	1	q∑	q∑	PROPN
ejpam-5197	95	2	i=0	i=0	PROPN
ejpam-5197	95	3	q∑	q∑	PROPN
ejpam-5197	95	4	j=0	j=0	PROPN
ejpam-5197	95	5	η̄qijhi(ζ)hj(ι	η̄qijhi(ζ)hj(ι	PROPN
ejpam-5197	95	6	)	)	PUNCT
ejpam-5197	95	7	,	,	PUNCT
ejpam-5197	95	8	(	(	PUNCT
ejpam-5197	95	9	5	5	X
ejpam-5197	95	10	)	)	PUNCT
ejpam-5197	95	11	where	where	SCONJ
ejpam-5197	95	12	η̄qij	η̄qij	PUNCT
ejpam-5197	95	13	are	be	AUX
ejpam-5197	95	14	unknown	unknown	ADJ
ejpam-5197	95	15	coefficients	coefficient	NOUN
ejpam-5197	95	16	and	and	CCONJ
ejpam-5197	95	17	hν	hν	NOUN
ejpam-5197	95	18	(	(	PUNCT
ejpam-5197	95	19	.	.	PUNCT
ejpam-5197	95	20	)	)	PUNCT
ejpam-5197	95	21	is	be	AUX
ejpam-5197	95	22	the	the	DET
ejpam-5197	95	23	lagrange	lagrange	PROPN
ejpam-5197	95	24	basis	basis	NOUN
ejpam-5197	95	25	polynomial	polynomial	ADJ
ejpam-5197	95	26	and	and	CCONJ
ejpam-5197	95	27	defined	define	VERB
ejpam-5197	95	28	in	in	ADP
ejpam-5197	95	29	form	form	NOUN
ejpam-5197	95	30	hi(ζ	hi(ζ	NOUN
ejpam-5197	95	31	)	)	PUNCT
ejpam-5197	96	1	=	=	SYM
ejpam-5197	96	2	q∏	q∏	PROPN
ejpam-5197	96	3	k=0,i	k=0,i	PROPN
ejpam-5197	96	4	̸=k	̸=k	PROPN
ejpam-5197	96	5	ζ	ζ	PROPN
ejpam-5197	96	6	−	−	PROPN
ejpam-5197	96	7	ζk	ζk	PROPN
ejpam-5197	96	8	ζi	ζi	PROPN
ejpam-5197	96	9	−	−	PROPN
ejpam-5197	96	10	ζk	ζk	NOUN
ejpam-5197	96	11	,	,	PUNCT
ejpam-5197	96	12	hj(ι	hj(ι	PUNCT
ejpam-5197	96	13	)	)	PUNCT
ejpam-5197	97	1	=	=	PUNCT
ejpam-5197	98	1	q∏	q∏	PROPN
ejpam-5197	98	2	l=0,j	l=0,j	INTJ
ejpam-5197	98	3	̸=l	̸=l	PROPN
ejpam-5197	99	1	ι−	ι−	INTJ
ejpam-5197	100	1	ιl	ιl	INTJ
ejpam-5197	101	1	ιj	ιj	INTJ
ejpam-5197	101	2	−	−	PROPN
ejpam-5197	102	1	ιl	ιl	INTJ
ejpam-5197	102	2	,	,	PUNCT
ejpam-5197	102	3	(	(	PUNCT
ejpam-5197	102	4	6	6	NUM
ejpam-5197	102	5	)	)	PUNCT
ejpam-5197	102	6	where	where	SCONJ
ejpam-5197	102	7	{	{	PUNCT
ejpam-5197	102	8	ιl}ql=0	ιl}ql=0	VERB
ejpam-5197	102	9	and	and	CCONJ
ejpam-5197	102	10	{	{	PUNCT
ejpam-5197	102	11	ζk}qk=0	ζk}qk=0	NOUN
ejpam-5197	102	12	are	be	AUX
ejpam-5197	102	13	the	the	DET
ejpam-5197	102	14	shifted	shift	VERB
ejpam-5197	102	15	lgl	lgl	ADJ
ejpam-5197	102	16	points	point	NOUN
ejpam-5197	102	17	in	in	ADP
ejpam-5197	102	18	[	[	X
ejpam-5197	102	19	0	0	NUM
ejpam-5197	102	20	,	,	PUNCT
ejpam-5197	102	21	p	p	X
ejpam-5197	102	22	]	]	PUNCT
ejpam-5197	102	23	and	and	CCONJ
ejpam-5197	103	1	[	[	X
ejpam-5197	103	2	0,m	0,m	X
ejpam-5197	103	3	]	]	X
ejpam-5197	103	4	,	,	PUNCT
ejpam-5197	103	5	respectively	respectively	ADV
ejpam-5197	103	6	.	.	PUNCT
ejpam-5197	104	1	these	these	DET
ejpam-5197	104	2	points	point	NOUN
ejpam-5197	104	3	are	be	AUX
ejpam-5197	104	4	described	describe	VERB
ejpam-5197	104	5	as	as	SCONJ
ejpam-5197	104	6	follows	follow	VERB
ejpam-5197	104	7	{	{	PUNCT
ejpam-5197	104	8	ιl	ιl	NOUN
ejpam-5197	104	9	=	=	PUNCT
ejpam-5197	105	1	p	p	NOUN
ejpam-5197	105	2	2	2	NUM
ejpam-5197	105	3	(	(	PUNCT
ejpam-5197	105	4	vl	vl	PROPN
ejpam-5197	105	5	+	+	NOUN
ejpam-5197	105	6	1	1	NUM
ejpam-5197	105	7	)	)	PUNCT
ejpam-5197	105	8	,	,	PUNCT
ejpam-5197	105	9	l	l	NOUN
ejpam-5197	105	10	=	=	SYM
ejpam-5197	105	11	0	0	NUM
ejpam-5197	105	12	,	,	PUNCT
ejpam-5197	105	13	1	1	NUM
ejpam-5197	105	14	,	,	PUNCT
ejpam-5197	105	15	·	·	PUNCT
ejpam-5197	105	16	·	·	PUNCT
ejpam-5197	105	17	·	·	PUNCT
ejpam-5197	105	18	,	,	PUNCT
ejpam-5197	105	19	q	q	X
ejpam-5197	105	20	,	,	PUNCT
ejpam-5197	105	21	ζk	ζk	PROPN
ejpam-5197	105	22	=	=	NOUN
ejpam-5197	105	23	m	m	VERB
ejpam-5197	105	24	2	2	NUM
ejpam-5197	105	25	(	(	PUNCT
ejpam-5197	105	26	vk	vk	VERB
ejpam-5197	105	27	+	+	NOUN
ejpam-5197	105	28	1	1	NUM
ejpam-5197	105	29	)	)	PUNCT
ejpam-5197	105	30	,	,	PUNCT
ejpam-5197	105	31	k	k	X
ejpam-5197	105	32	=	=	SYM
ejpam-5197	105	33	0	0	NUM
ejpam-5197	105	34	,	,	PUNCT
ejpam-5197	105	35	1	1	NUM
ejpam-5197	105	36	,	,	PUNCT
ejpam-5197	105	37	·	·	PUNCT
ejpam-5197	105	38	·	·	PUNCT
ejpam-5197	105	39	·	·	PUNCT
ejpam-5197	105	40	,	,	PUNCT
ejpam-5197	105	41	q	q	X
ejpam-5197	105	42	,	,	PUNCT
ejpam-5197	105	43	(	(	PUNCT
ejpam-5197	105	44	7	7	NUM
ejpam-5197	105	45	)	)	PUNCT
ejpam-5197	105	46	where	where	SCONJ
ejpam-5197	105	47	{	{	PUNCT
ejpam-5197	105	48	vl}ql=0	vl}ql=0	PROPN
ejpam-5197	105	49	are	be	AUX
ejpam-5197	105	50	the	the	DET
ejpam-5197	105	51	roots	root	NOUN
ejpam-5197	105	52	of	of	ADP
ejpam-5197	105	53	following	follow	VERB
ejpam-5197	105	54	polynomial	polynomial	ADJ
ejpam-5197	105	55	r(z	r(z	NOUN
ejpam-5197	105	56	)	)	PUNCT
ejpam-5197	105	57	=	=	PUNCT
ejpam-5197	106	1	(	(	PUNCT
ejpam-5197	106	2	1−	1−	NUM
ejpam-5197	106	3	z2)ṙq(z	z2)ṙq(z	NUM
ejpam-5197	106	4	)	)	PUNCT
ejpam-5197	106	5	;	;	PUNCT
ejpam-5197	107	1	z	z	NOUN
ejpam-5197	107	2	∈	∈	PROPN
ejpam-5197	108	1	[	[	X
ejpam-5197	108	2	−1	−1	NOUN
ejpam-5197	108	3	,	,	PUNCT
ejpam-5197	108	4	1	1	NUM
ejpam-5197	108	5	]	]	PUNCT
ejpam-5197	108	6	,	,	PUNCT
ejpam-5197	108	7	where	where	SCONJ
ejpam-5197	108	8	legendre	legendre	PROPN
ejpam-5197	108	9	polynomial	polynomial	PROPN
ejpam-5197	108	10	rq(z	rq(z	PROPN
ejpam-5197	108	11	)	)	PUNCT
ejpam-5197	108	12	is	be	AUX
ejpam-5197	108	13	described	describe	VERB
ejpam-5197	108	14	by	by	ADP
ejpam-5197	108	15	recurrent	recurrent	ADJ
ejpam-5197	108	16	formula	formula	NOUN
ejpam-5197	108	17	{	{	PUNCT
ejpam-5197	108	18	rq+1(z	rq+1(z	NOUN
ejpam-5197	108	19	)	)	PUNCT
ejpam-5197	109	1	=	=	SYM
ejpam-5197	110	1	2q+1	2q+1	PROPN
ejpam-5197	110	2	q+1	q+1	NUM
ejpam-5197	110	3	zrq(z)−	zrq(z)−	PROPN
ejpam-5197	110	4	q	q	PROPN
ejpam-5197	110	5	q+1rq−1(z	q+1rq−1(z	PROPN
ejpam-5197	110	6	)	)	PUNCT
ejpam-5197	110	7	,	,	PUNCT
ejpam-5197	110	8	r0(z	r0(z	NUM
ejpam-5197	110	9	)	)	PUNCT
ejpam-5197	110	10	=	=	SYM
ejpam-5197	110	11	1	1	NUM
ejpam-5197	110	12	,	,	PUNCT
ejpam-5197	110	13	r1(z	r1(z	NOUN
ejpam-5197	110	14	)	)	PUNCT
ejpam-5197	110	15	=	=	SYM
ejpam-5197	110	16	z.	z.	PROPN
ejpam-5197	110	17	(	(	PUNCT
ejpam-5197	110	18	8)	8)	NUM
ejpam-5197	110	19	by	by	ADP
ejpam-5197	110	20	using	use	VERB
ejpam-5197	110	21	the	the	DET
ejpam-5197	110	22	approximation	approximation	NOUN
ejpam-5197	110	23	(	(	PUNCT
ejpam-5197	110	24	5	5	X
ejpam-5197	110	25	)	)	PUNCT
ejpam-5197	110	26	we	we	PRON
ejpam-5197	110	27	achieve	achieve	VERB
ejpam-5197	110	28	{	{	PUNCT
ejpam-5197	110	29	ηζ(ζ	ηζ(ζ	NUM
ejpam-5197	110	30	,	,	PUNCT
ejpam-5197	110	31	ι	ι	NOUN
ejpam-5197	110	32	)	)	PUNCT
ejpam-5197	110	33	≃	≃	NOUN
ejpam-5197	110	34	∑q	∑q	PROPN
ejpam-5197	110	35	i=0	i=0	PROPN
ejpam-5197	110	36	∑q	∑q	PROPN
ejpam-5197	110	37	j=0	j=0	PROPN
ejpam-5197	110	38	η̄	η̄	NOUN
ejpam-5197	110	39	q	q	NOUN
ejpam-5197	110	40	ijh	ijh	VERB
ejpam-5197	110	41	′	′	NUM
ejpam-5197	110	42	i(ζ)hj(ι	i(ζ)hj(ι	ADJ
ejpam-5197	110	43	)	)	PUNCT
ejpam-5197	110	44	,	,	PUNCT
ejpam-5197	110	45	ηιι(ζ	ηιι(ζ	PROPN
ejpam-5197	110	46	,	,	PUNCT
ejpam-5197	110	47	ι	ι	NOUN
ejpam-5197	110	48	)	)	PUNCT
ejpam-5197	110	49	≃	≃	NOUN
ejpam-5197	110	50	∑q	∑q	PROPN
ejpam-5197	110	51	i=0	i=0	PROPN
ejpam-5197	110	52	∑q	∑q	PROPN
ejpam-5197	110	53	j=0	j=0	PROPN
ejpam-5197	110	54	η̄	η̄	NOUN
ejpam-5197	110	55	q	q	NOUN
ejpam-5197	110	56	ijhi(ζ)h	ijhi(ζ)h	NUM
ejpam-5197	110	57	′′	′′	PROPN
ejpam-5197	110	58	j	j	PROPN
ejpam-5197	110	59	(	(	PUNCT
ejpam-5197	110	60	ι	ι	PROPN
ejpam-5197	110	61	)	)	PUNCT
ejpam-5197	110	62	.	.	PUNCT
ejpam-5197	111	1	(	(	PUNCT
ejpam-5197	111	2	9	9	NUM
ejpam-5197	111	3	)	)	PUNCT
ejpam-5197	111	4	according	accord	VERB
ejpam-5197	111	5	to	to	ADP
ejpam-5197	111	6	following	follow	VERB
ejpam-5197	111	7	lagrange	lagrange	NOUN
ejpam-5197	111	8	polynomials	polynomial	NOUN
ejpam-5197	111	9	property	property	NOUN
ejpam-5197	111	10	hi(zj	hi(zj	NOUN
ejpam-5197	111	11	)	)	PUNCT
ejpam-5197	111	12	=	=	PRON
ejpam-5197	111	13	{	{	PUNCT
ejpam-5197	111	14	1	1	NUM
ejpam-5197	111	15	,	,	PUNCT
ejpam-5197	111	16	i	i	PROPN
ejpam-5197	111	17	=	=	SYM
ejpam-5197	111	18	j	j	PROPN
ejpam-5197	111	19	,	,	PUNCT
ejpam-5197	111	20	0	0	NUM
ejpam-5197	111	21	,	,	PUNCT
ejpam-5197	111	22	i	i	PRON
ejpam-5197	111	23	̸=	̸=	PROPN
ejpam-5197	111	24	j	j	PROPN
ejpam-5197	111	25	,	,	PUNCT
ejpam-5197	111	26	(	(	PUNCT
ejpam-5197	111	27	10	10	NUM
ejpam-5197	111	28	)	)	PUNCT
ejpam-5197	111	29	where	where	SCONJ
ejpam-5197	111	30	{	{	PUNCT
ejpam-5197	111	31	zj}qj=0	zj}qj=0	X
ejpam-5197	111	32	are	be	AUX
ejpam-5197	111	33	the	the	DET
ejpam-5197	111	34	lgl	lgl	ADJ
ejpam-5197	111	35	points	point	NOUN
ejpam-5197	111	36	.	.	PUNCT
ejpam-5197	112	1	we	we	PRON
ejpam-5197	112	2	can	can	AUX
ejpam-5197	112	3	approximate	approximate	VERB
ejpam-5197	112	4	the	the	DET
ejpam-5197	112	5	functions	function	NOUN
ejpam-5197	112	6	η(ζk	η(ζk	NOUN
ejpam-5197	112	7	,	,	PUNCT
ejpam-5197	112	8	ιl	ιl	NOUN
ejpam-5197	112	9	)	)	PUNCT
ejpam-5197	112	10	,	,	PUNCT
ejpam-5197	112	11	ηζ(ζk	ηζ(ζk	PROPN
ejpam-5197	112	12	,	,	PUNCT
ejpam-5197	112	13	ιl	ιl	NOUN
ejpam-5197	112	14	)	)	PUNCT
ejpam-5197	112	15	and	and	CCONJ
ejpam-5197	112	16	ηιι(ζk	ηιι(ζk	NOUN
ejpam-5197	112	17	,	,	PUNCT
ejpam-5197	112	18	ιl	ιl	PROPN
ejpam-5197	112	19	)	)	PUNCT
ejpam-5197	112	20	in	in	ADP
ejpam-5197	112	21	the	the	DET
ejpam-5197	112	22	interpolating	interpolate	VERB
ejpam-5197	112	23	points	point	NOUN
ejpam-5197	112	24	{	{	PUNCT
ejpam-5197	112	25	ιl}ql=0	ιl}ql=0	PROPN
ejpam-5197	112	26	and	and	CCONJ
ejpam-5197	112	27	{	{	PUNCT
ejpam-5197	112	28	ζk}qk=0	ζk}qk=0	NOUN
ejpam-5197	112	29	as	as	ADP
ejpam-5197	112	30	η(ζk	η(ζk	NOUN
ejpam-5197	112	31	,	,	PUNCT
ejpam-5197	112	32	ιl	ιl	NOUN
ejpam-5197	112	33	)	)	PUNCT
ejpam-5197	112	34	≃	≃	NOUN
ejpam-5197	112	35	η̄qkl	η̄qkl	ADV
ejpam-5197	112	36	,	,	PUNCT
ejpam-5197	112	37	k	k	NOUN
ejpam-5197	112	38	,	,	PUNCT
ejpam-5197	112	39	l	l	NOUN
ejpam-5197	112	40	=	=	SYM
ejpam-5197	112	41	0	0	NUM
ejpam-5197	112	42	,	,	PUNCT
ejpam-5197	112	43	1	1	NUM
ejpam-5197	112	44	,	,	PUNCT
ejpam-5197	112	45	·	·	PUNCT
ejpam-5197	112	46	·	·	PUNCT
ejpam-5197	112	47	·	·	PUNCT
ejpam-5197	112	48	,	,	PUNCT
ejpam-5197	112	49	q	q	X
ejpam-5197	112	50	,	,	PUNCT
ejpam-5197	112	51	ηζ(ζk	ηζ(ζk	PROPN
ejpam-5197	112	52	,	,	PUNCT
ejpam-5197	112	53	ιl	ιl	NOUN
ejpam-5197	112	54	)	)	PUNCT
ejpam-5197	112	55	≃	≃	NOUN
ejpam-5197	112	56	q∑	q∑	PROPN
ejpam-5197	112	57	i=0	i=0	PROPN
ejpam-5197	112	58	q∑	q∑	PROPN
ejpam-5197	112	59	j=0	j=0	PROPN
ejpam-5197	112	60	η̄qijh	η̄qijh	NOUN
ejpam-5197	112	61	′	′	NUM
ejpam-5197	112	62	i(ζk)hj(ιl	i(ζk)hj(ιl	PROPN
ejpam-5197	112	63	)	)	PUNCT
ejpam-5197	113	1	=	=	PUNCT
ejpam-5197	113	2	q∑	q∑	PROPN
ejpam-5197	113	3	i=0	i=0	PROPN
ejpam-5197	113	4	η̄ildki	η̄ildki	X
ejpam-5197	113	5	,	,	PUNCT
ejpam-5197	113	6	l	l	NOUN
ejpam-5197	113	7	=	=	SYM
ejpam-5197	113	8	0	0	NUM
ejpam-5197	113	9	,	,	PUNCT
ejpam-5197	113	10	1	1	NUM
ejpam-5197	113	11	,	,	PUNCT
ejpam-5197	113	12	·	·	PUNCT
ejpam-5197	113	13	·	·	PUNCT
ejpam-5197	113	14	·	·	PUNCT
ejpam-5197	113	15	,	,	PUNCT
ejpam-5197	113	16	q	q	X
ejpam-5197	113	17	,	,	PUNCT
ejpam-5197	113	18	k	k	NOUN
ejpam-5197	113	19	=	=	SYM
ejpam-5197	113	20	0	0	NUM
ejpam-5197	113	21	,	,	PUNCT
ejpam-5197	113	22	1	1	NUM
ejpam-5197	113	23	,	,	PUNCT
ejpam-5197	113	24	·	·	PUNCT
ejpam-5197	113	25	·	·	PUNCT
ejpam-5197	113	26	·	·	PUNCT
ejpam-5197	113	27	,	,	PUNCT
ejpam-5197	113	28	q	q	X
ejpam-5197	113	29	,	,	PUNCT
ejpam-5197	113	30	(	(	PUNCT
ejpam-5197	113	31	11	11	NUM
ejpam-5197	113	32	)	)	PUNCT
ejpam-5197	113	33	m.	m.	NOUN
ejpam-5197	113	34	ghovatmand	ghovatmand	NOUN
ejpam-5197	113	35	et	et	PROPN
ejpam-5197	113	36	al	al	PROPN
ejpam-5197	113	37	.	.	PUNCT
ejpam-5197	113	38	/	/	SYM
ejpam-5197	113	39	eur	eur	PROPN
ejpam-5197	113	40	.	.	PUNCT
ejpam-5197	114	1	j.	j.	PROPN
ejpam-5197	114	2	pure	pure	PROPN
ejpam-5197	114	3	appl	appl	PROPN
ejpam-5197	114	4	.	.	PROPN
ejpam-5197	114	5	math	math	PROPN
ejpam-5197	114	6	,	,	PUNCT
ejpam-5197	114	7	17	17	NUM
ejpam-5197	114	8	(	(	PUNCT
ejpam-5197	114	9	3	3	NUM
ejpam-5197	114	10	)	)	PUNCT
ejpam-5197	114	11	(	(	PUNCT
ejpam-5197	114	12	2024	2024	NUM
ejpam-5197	114	13	)	)	PUNCT
ejpam-5197	114	14	,	,	PUNCT
ejpam-5197	114	15	1565	1565	NUM
ejpam-5197	114	16	-	-	SYM
ejpam-5197	114	17	1584	1584	NUM
ejpam-5197	114	18	1569	1569	NUM
ejpam-5197	114	19	ηιι(ζk	ηιι(ζk	NOUN
ejpam-5197	114	20	,	,	PUNCT
ejpam-5197	114	21	ιl	ιl	NOUN
ejpam-5197	114	22	)	)	PUNCT
ejpam-5197	114	23	≃	≃	NOUN
ejpam-5197	114	24	q∑	q∑	PROPN
ejpam-5197	114	25	i=0	i=0	PROPN
ejpam-5197	114	26	q∑	q∑	PROPN
ejpam-5197	114	27	j=0	j=0	VERB
ejpam-5197	114	28	η̄qijhi(ζk)h	η̄qijhi(ζk)h	PROPN
ejpam-5197	114	29	′′	′′	PROPN
ejpam-5197	114	30	j	j	PROPN
ejpam-5197	114	31	(	(	PUNCT
ejpam-5197	114	32	ιl	ιl	NOUN
ejpam-5197	114	33	)	)	PUNCT
ejpam-5197	114	34	=	=	PUNCT
ejpam-5197	115	1	q∑	q∑	PROPN
ejpam-5197	115	2	j=0	j=0	PROPN
ejpam-5197	115	3	η̄qkjh	η̄qkjh	VERB
ejpam-5197	115	4	′′	′′	PROPN
ejpam-5197	115	5	j	j	PROPN
ejpam-5197	115	6	(	(	PUNCT
ejpam-5197	115	7	ιl	ιl	NOUN
ejpam-5197	115	8	)	)	PUNCT
ejpam-5197	115	9	=	=	PUNCT
ejpam-5197	115	10	q∑	q∑	PROPN
ejpam-5197	115	11	j=0	j=0	PROPN
ejpam-5197	115	12	η̄qkjd	η̄qkjd	X
ejpam-5197	115	13	(	(	PUNCT
ejpam-5197	115	14	2	2	NUM
ejpam-5197	115	15	)	)	PUNCT
ejpam-5197	115	16	lj	lj	INTJ
ejpam-5197	115	17	;	;	PUNCT
ejpam-5197	116	1	l	l	NOUN
ejpam-5197	116	2	=	=	SYM
ejpam-5197	116	3	0	0	NUM
ejpam-5197	116	4	,	,	PUNCT
ejpam-5197	116	5	1	1	NUM
ejpam-5197	116	6	,	,	PUNCT
ejpam-5197	116	7	·	·	PUNCT
ejpam-5197	116	8	·	·	PUNCT
ejpam-5197	116	9	·	·	PUNCT
ejpam-5197	116	10	,	,	PUNCT
ejpam-5197	116	11	q	q	X
ejpam-5197	116	12	,	,	PUNCT
ejpam-5197	116	13	k	k	NOUN
ejpam-5197	116	14	=	=	SYM
ejpam-5197	116	15	0	0	NUM
ejpam-5197	116	16	,	,	PUNCT
ejpam-5197	116	17	1	1	NUM
ejpam-5197	116	18	,	,	PUNCT
ejpam-5197	116	19	·	·	PUNCT
ejpam-5197	116	20	·	·	PUNCT
ejpam-5197	116	21	·	·	PUNCT
ejpam-5197	116	22	,	,	PUNCT
ejpam-5197	116	23	q	q	X
ejpam-5197	116	24	,	,	PUNCT
ejpam-5197	116	25	(	(	PUNCT
ejpam-5197	116	26	12	12	NUM
ejpam-5197	116	27	)	)	PUNCT
ejpam-5197	116	28	where	where	SCONJ
ejpam-5197	116	29	dki	dki	NOUN
ejpam-5197	116	30	and	and	CCONJ
ejpam-5197	116	31	d2	d2	PROPN
ejpam-5197	116	32	lj	lj	PROPN
ejpam-5197	116	33	are	be	AUX
ejpam-5197	116	34	defined	define	VERB
ejpam-5197	116	35	as	as	SCONJ
ejpam-5197	116	36	follows	follow	VERB
ejpam-5197	116	37	dki	dki	PROPN
ejpam-5197	116	38	=	=	SYM
ejpam-5197	116	39	h′i(ζk	h′i(ζk	PROPN
ejpam-5197	116	40	)	)	PUNCT
ejpam-5197	116	41	=	=	PUNCT
ejpam-5197	116	42			NOUN
ejpam-5197	116	43	−	−	NOUN
ejpam-5197	116	44	2	2	NUM
ejpam-5197	116	45	m	m	NOUN
ejpam-5197	116	46	q(q+1	q(q+1	NOUN
ejpam-5197	116	47	)	)	PUNCT
ejpam-5197	116	48	4	4	NUM
ejpam-5197	116	49	,	,	PUNCT
ejpam-5197	116	50	k	k	X
ejpam-5197	117	1	=	=	PUNCT
ejpam-5197	117	2	i	i	NOUN
ejpam-5197	117	3	=	=	NOUN
ejpam-5197	117	4	0	0	NUM
ejpam-5197	117	5	,	,	PUNCT
ejpam-5197	117	6	rq(ζk	rq(ζk	PROPN
ejpam-5197	117	7	)	)	PUNCT
ejpam-5197	117	8	rq(ζi	rq(ζi	PROPN
ejpam-5197	117	9	)	)	PUNCT
ejpam-5197	117	10	1	1	NUM
ejpam-5197	117	11	ζk−ζi	ζk−ζi	NOUN
ejpam-5197	117	12	,	,	PUNCT
ejpam-5197	117	13	k	k	PROPN
ejpam-5197	117	14	̸=	̸=	PROPN
ejpam-5197	117	15	i	i	PROPN
ejpam-5197	117	16	,	,	PUNCT
ejpam-5197	117	17	0	0	NUM
ejpam-5197	117	18	,	,	PUNCT
ejpam-5197	117	19	1	1	NUM
ejpam-5197	117	20	≤	≤	NUM
ejpam-5197	118	1	k	k	NOUN
ejpam-5197	119	1	=	=	PUNCT
ejpam-5197	119	2	i	i	PRON
ejpam-5197	119	3	≤	≤	NUM
ejpam-5197	119	4	q−	q−	PROPN
ejpam-5197	119	5	1	1	NUM
ejpam-5197	119	6	,	,	PUNCT
ejpam-5197	119	7	2	2	NUM
ejpam-5197	119	8	m	m	NOUN
ejpam-5197	119	9	q(q+1	q(q+1	NOUN
ejpam-5197	119	10	)	)	PUNCT
ejpam-5197	119	11	4	4	NUM
ejpam-5197	119	12	,	,	PUNCT
ejpam-5197	119	13	k	k	X
ejpam-5197	120	1	=	=	PUNCT
ejpam-5197	120	2	i	i	NOUN
ejpam-5197	120	3	=	=	SYM
ejpam-5197	120	4	q	q	ADJ
ejpam-5197	120	5	,	,	PUNCT
ejpam-5197	120	6	(	(	PUNCT
ejpam-5197	120	7	13	13	NUM
ejpam-5197	120	8	)	)	PUNCT
ejpam-5197	120	9	and	and	CCONJ
ejpam-5197	120	10	d	d	X
ejpam-5197	120	11	(	(	PUNCT
ejpam-5197	120	12	2	2	NUM
ejpam-5197	120	13	)	)	PUNCT
ejpam-5197	120	14	lj	lj	NOUN
ejpam-5197	121	1	=	=	PUNCT
ejpam-5197	121	2	q∑	q∑	PROPN
ejpam-5197	122	1	p=0	p=0	PROPN
ejpam-5197	122	2	dlpdpj	dlpdpj	PROPN
ejpam-5197	122	3	.	.	PUNCT
ejpam-5197	123	1	(	(	PUNCT
ejpam-5197	123	2	14	14	NUM
ejpam-5197	123	3	)	)	PUNCT
ejpam-5197	123	4	suppose	suppose	VERB
ejpam-5197	123	5	index	index	NOUN
ejpam-5197	123	6	sµ	sµ	NOUN
ejpam-5197	123	7	is	be	AUX
ejpam-5197	123	8	such	such	ADJ
ejpam-5197	123	9	that	that	SCONJ
ejpam-5197	123	10	0	0	NUM
ejpam-5197	123	11	=	=	SYM
ejpam-5197	123	12	ζ0	ζ0	PROPN
ejpam-5197	123	13	<	<	X
ejpam-5197	123	14	ζ1	ζ1	NOUN
ejpam-5197	123	15	≤	≤	NUM
ejpam-5197	123	16	ζ2	ζ2	NOUN
ejpam-5197	123	17	<	<	X
ejpam-5197	123	18	·	·	PUNCT
ejpam-5197	123	19	·	·	PUNCT
ejpam-5197	123	20	·	·	PUNCT
ejpam-5197	124	1	<	<	X
ejpam-5197	124	2	ζsµ	ζsµ	PROPN
ejpam-5197	124	3	≤	≤	NUM
ejpam-5197	124	4	µ	µ	X
ejpam-5197	124	5	<	<	X
ejpam-5197	124	6	ζsµ+1	ζsµ+1	NOUN
ejpam-5197	124	7	<	<	X
ejpam-5197	124	8	·	·	PUNCT
ejpam-5197	124	9	·	·	PUNCT
ejpam-5197	124	10	·	·	PUNCT
ejpam-5197	124	11	<	<	X
ejpam-5197	124	12	ζq	ζq	NOUN
ejpam-5197	124	13	=	=	PUNCT
ejpam-5197	124	14	m.	m.	NOUN
ejpam-5197	124	15	then	then	ADV
ejpam-5197	124	16	system	system	NOUN
ejpam-5197	124	17	(	(	PUNCT
ejpam-5197	124	18	1)-(3	1)-(3	NOUN
ejpam-5197	124	19	)	)	PUNCT
ejpam-5197	124	20	can	can	AUX
ejpam-5197	124	21	be	be	AUX
ejpam-5197	124	22	approximated	approximate	VERB
ejpam-5197	124	23	as	as	ADP
ejpam-5197	124	24	the	the	DET
ejpam-5197	124	25	following	follow	VERB
ejpam-5197	124	26	discrete	discrete	ADJ
ejpam-5197	124	27	algebraic	algebraic	ADJ
ejpam-5197	124	28	system	system	PROPN
ejpam-5197	124	29	∑q	∑q	PROPN
ejpam-5197	124	30	i=0	i=0	PROPN
ejpam-5197	124	31	η̄	η̄	VERB
ejpam-5197	124	32	q	q	PROPN
ejpam-5197	124	33	ildki	ildki	NOUN
ejpam-5197	124	34	=	=	X
ejpam-5197	124	35	{	{	PUNCT
ejpam-5197	124	36	z(ζk	z(ζk	NOUN
ejpam-5197	124	37	,	,	PUNCT
ejpam-5197	124	38	ιl	ιl	ADJ
ejpam-5197	124	39	,	,	PUNCT
ejpam-5197	124	40	η̄	η̄	VERB
ejpam-5197	124	41	q	q	PROPN
ejpam-5197	124	42	kl	kl	NOUN
ejpam-5197	124	43	,	,	PUNCT
ejpam-5197	124	44	φ(ζk	φ(ζk	PROPN
ejpam-5197	124	45	−	−	PROPN
ejpam-5197	124	46	µ	µ	NUM
ejpam-5197	124	47	,	,	PUNCT
ejpam-5197	124	48	ιl	ιl	NOUN
ejpam-5197	124	49	)	)	PUNCT
ejpam-5197	124	50	,	,	PUNCT
ejpam-5197	124	51	∑q	∑q	PROPN
ejpam-5197	124	52	j=0	j=0	PROPN
ejpam-5197	124	53	η̄	η̄	NOUN
ejpam-5197	124	54	q	q	PROPN
ejpam-5197	124	55	kjd	kjd	PROPN
ejpam-5197	124	56	2	2	NUM
ejpam-5197	124	57	lj	lj	PROPN
ejpam-5197	124	58	)	)	PUNCT
ejpam-5197	124	59	,	,	PUNCT
ejpam-5197	124	60	k	k	X
ejpam-5197	124	61	=	=	SYM
ejpam-5197	124	62	1	1	NUM
ejpam-5197	124	63	,	,	PUNCT
ejpam-5197	124	64	·	·	PUNCT
ejpam-5197	124	65	·	·	PUNCT
ejpam-5197	124	66	·	·	PUNCT
ejpam-5197	124	67	,	,	PUNCT
ejpam-5197	124	68	sµ	sµ	NOUN
ejpam-5197	124	69	,	,	PUNCT
ejpam-5197	124	70	l	l	NOUN
ejpam-5197	124	71	=	=	SYM
ejpam-5197	124	72	1	1	NUM
ejpam-5197	124	73	,	,	PUNCT
ejpam-5197	124	74	·	·	PUNCT
ejpam-5197	124	75	·	·	PUNCT
ejpam-5197	124	76	·	·	PUNCT
ejpam-5197	124	77	,	,	PUNCT
ejpam-5197	124	78	q−	q−	PROPN
ejpam-5197	124	79	1	1	NUM
ejpam-5197	124	80	,	,	PUNCT
ejpam-5197	124	81	z(ζk	z(ζk	NOUN
ejpam-5197	124	82	,	,	PUNCT
ejpam-5197	124	83	ιl	ιl	NOUN
ejpam-5197	124	84	,	,	PUNCT
ejpam-5197	124	85	η̄	η̄	VERB
ejpam-5197	124	86	q	q	PROPN
ejpam-5197	124	87	kl	kl	NOUN
ejpam-5197	124	88	,	,	PUNCT
ejpam-5197	124	89	∑q	∑q	PROPN
ejpam-5197	124	90	i=0	i=0	PROPN
ejpam-5197	124	91	η̄	η̄	X
ejpam-5197	124	92	q	q	X
ejpam-5197	124	93	il	il	X
ejpam-5197	124	94	hi(ζk	hi(ζk	PROPN
ejpam-5197	124	95	−	−	PROPN
ejpam-5197	124	96	µ	µ	NUM
ejpam-5197	124	97	)	)	PUNCT
ejpam-5197	124	98	,	,	PUNCT
ejpam-5197	124	99	∑q	∑q	PROPN
ejpam-5197	124	100	j=0	j=0	PROPN
ejpam-5197	124	101	η̄	η̄	NOUN
ejpam-5197	124	102	q	q	PROPN
ejpam-5197	124	103	kjd	kjd	PROPN
ejpam-5197	124	104	2	2	NUM
ejpam-5197	124	105	lj	lj	PROPN
ejpam-5197	124	106	)	)	PUNCT
ejpam-5197	124	107	,	,	PUNCT
ejpam-5197	124	108	k	k	PROPN
ejpam-5197	124	109	=	=	SYM
ejpam-5197	124	110	sµ+1	sµ+1	PROPN
ejpam-5197	124	111	,	,	PUNCT
ejpam-5197	124	112	·	·	PUNCT
ejpam-5197	124	113	·	·	PUNCT
ejpam-5197	124	114	·	·	PUNCT
ejpam-5197	124	115	,	,	PUNCT
ejpam-5197	124	116	q	q	X
ejpam-5197	124	117	,	,	PUNCT
ejpam-5197	124	118	l	l	NOUN
ejpam-5197	124	119	=	=	SYM
ejpam-5197	124	120	1	1	NUM
ejpam-5197	124	121	,	,	PUNCT
ejpam-5197	124	122	·	·	PUNCT
ejpam-5197	124	123	·	·	PUNCT
ejpam-5197	124	124	·	·	PUNCT
ejpam-5197	124	125	,	,	PUNCT
ejpam-5197	124	126	q−	q−	PROPN
ejpam-5197	124	127	1	1	NUM
ejpam-5197	124	128	,	,	PUNCT
ejpam-5197	124	129	η̄q0l	η̄q0l	PUNCT
ejpam-5197	124	130	=	=	SYM
ejpam-5197	124	131	φ(0	φ(0	ADJ
ejpam-5197	124	132	,	,	PUNCT
ejpam-5197	124	133	ιl	ιl	NOUN
ejpam-5197	124	134	)	)	PUNCT
ejpam-5197	124	135	,	,	PUNCT
ejpam-5197	124	136	l	l	NOUN
ejpam-5197	124	137	=	=	SYM
ejpam-5197	124	138	1	1	NUM
ejpam-5197	124	139	,	,	PUNCT
ejpam-5197	124	140	·	·	PUNCT
ejpam-5197	124	141	·	·	PUNCT
ejpam-5197	124	142	·	·	PUNCT
ejpam-5197	124	143	,	,	PUNCT
ejpam-5197	124	144	q−	q−	PROPN
ejpam-5197	124	145	1	1	NUM
ejpam-5197	124	146	,	,	PUNCT
ejpam-5197	124	147	η̄qk0	η̄qk0	ADJ
ejpam-5197	124	148	=	=	SYM
ejpam-5197	124	149	g1(ζk	g1(ζk	PROPN
ejpam-5197	124	150	)	)	PUNCT
ejpam-5197	124	151	,	,	PUNCT
ejpam-5197	124	152	η̄	η̄	VERB
ejpam-5197	124	153	q	q	PROPN
ejpam-5197	124	154	kq	kq	X
ejpam-5197	124	155	=	=	SYM
ejpam-5197	124	156	g2(ζk	g2(ζk	PROPN
ejpam-5197	124	157	)	)	PUNCT
ejpam-5197	124	158	,	,	PUNCT
ejpam-5197	124	159	k	k	PROPN
ejpam-5197	124	160	=	=	SYM
ejpam-5197	124	161	0	0	NUM
ejpam-5197	124	162	,	,	PUNCT
ejpam-5197	124	163	·	·	PUNCT
ejpam-5197	124	164	·	·	PUNCT
ejpam-5197	125	1	·	·	PUNCT
ejpam-5197	125	2	q	q	X
ejpam-5197	125	3	,	,	PUNCT
ejpam-5197	125	4	(	(	PUNCT
ejpam-5197	125	5	15	15	NUM
ejpam-5197	125	6	)	)	PUNCT
ejpam-5197	125	7	with	with	ADP
ejpam-5197	125	8	unknowns	unknown	NOUN
ejpam-5197	125	9	η̄qij	η̄qij	PUNCT
ejpam-5197	125	10	for	for	ADP
ejpam-5197	125	11	i	i	PROPN
ejpam-5197	125	12	,	,	PUNCT
ejpam-5197	125	13	j	j	PROPN
ejpam-5197	125	14	=	=	SYM
ejpam-5197	125	15	0	0	NUM
ejpam-5197	125	16	,	,	PUNCT
ejpam-5197	125	17	1	1	NUM
ejpam-5197	125	18	,	,	PUNCT
ejpam-5197	125	19	·	·	PUNCT
ejpam-5197	125	20	·	·	PUNCT
ejpam-5197	125	21	·	·	PUNCT
ejpam-5197	125	22	,	,	PUNCT
ejpam-5197	125	23	q.	q.	PROPN
ejpam-5197	125	24	notice	notice	VERB
ejpam-5197	125	25	that	that	SCONJ
ejpam-5197	125	26	the	the	DET
ejpam-5197	125	27	number	number	NOUN
ejpam-5197	125	28	of	of	ADP
ejpam-5197	125	29	this	this	DET
ejpam-5197	125	30	equations	equation	NOUN
ejpam-5197	125	31	is	be	AUX
ejpam-5197	125	32	(	(	PUNCT
ejpam-5197	125	33	q+1)2	q+1)2	PROPN
ejpam-5197	125	34	which	which	PRON
ejpam-5197	125	35	is	be	AUX
ejpam-5197	125	36	equal	equal	ADJ
ejpam-5197	125	37	to	to	ADP
ejpam-5197	125	38	the	the	DET
ejpam-5197	125	39	number	number	NOUN
ejpam-5197	125	40	of	of	ADP
ejpam-5197	125	41	variables	variable	NOUN
ejpam-5197	125	42	.	.	PUNCT
ejpam-5197	126	1	by	by	ADP
ejpam-5197	126	2	solving	solve	VERB
ejpam-5197	126	3	the	the	DET
ejpam-5197	126	4	system	system	NOUN
ejpam-5197	126	5	(	(	PUNCT
ejpam-5197	126	6	15	15	NUM
ejpam-5197	126	7	)	)	PUNCT
ejpam-5197	126	8	,	,	PUNCT
ejpam-5197	126	9	we	we	PRON
ejpam-5197	126	10	get	get	VERB
ejpam-5197	126	11	the	the	DET
ejpam-5197	126	12	approximate	approximate	ADJ
ejpam-5197	126	13	solution	solution	NOUN
ejpam-5197	126	14	η̄qij	η̄qij	PUNCT
ejpam-5197	126	15	(	(	PUNCT
ejpam-5197	126	16	i	i	PROPN
ejpam-5197	126	17	,	,	PUNCT
ejpam-5197	126	18	j	j	PROPN
ejpam-5197	126	19	=	=	SYM
ejpam-5197	126	20	0	0	PUNCT
ejpam-5197	126	21	·	·	PUNCT
ejpam-5197	126	22	·	·	PUNCT
ejpam-5197	126	23	·	·	PUNCT
ejpam-5197	126	24	,	,	PUNCT
ejpam-5197	126	25	q	q	X
ejpam-5197	126	26	)	)	PUNCT
ejpam-5197	126	27	and	and	CCONJ
ejpam-5197	126	28	continuous	continuous	ADJ
ejpam-5197	126	29	approximate	approximate	ADJ
ejpam-5197	126	30	solution	solution	NOUN
ejpam-5197	126	31	ηq(ζ	ηq(ζ	NUM
ejpam-5197	126	32	,	,	PUNCT
ejpam-5197	126	33	ι	ι	PRON
ejpam-5197	126	34	)	)	PUNCT
ejpam-5197	126	35	presented	present	VERB
ejpam-5197	126	36	with	with	ADP
ejpam-5197	126	37	(	(	PUNCT
ejpam-5197	126	38	5	5	NUM
ejpam-5197	126	39	)	)	PUNCT
ejpam-5197	126	40	.	.	PUNCT
ejpam-5197	127	1	4	4	X
ejpam-5197	127	2	.	.	X
ejpam-5197	127	3	convergence	convergence	NOUN
ejpam-5197	127	4	study	study	NOUN
ejpam-5197	127	5	now	now	ADV
ejpam-5197	127	6	we	we	PRON
ejpam-5197	127	7	examine	examine	VERB
ejpam-5197	127	8	the	the	DET
ejpam-5197	127	9	convergence	convergence	NOUN
ejpam-5197	127	10	of	of	ADP
ejpam-5197	127	11	the	the	DET
ejpam-5197	127	12	method	method	NOUN
ejpam-5197	127	13	.	.	PUNCT
ejpam-5197	128	1	we	we	PRON
ejpam-5197	128	2	define	define	VERB
ejpam-5197	128	3	γ̃	γ̃	PROPN
ejpam-5197	128	4	=	=	PUNCT
ejpam-5197	129	1	[	[	X
ejpam-5197	129	2	0,m	0,m	X
ejpam-5197	129	3	]	]	X
ejpam-5197	129	4	×	×	NOUN
ejpam-5197	130	1	[	[	X
ejpam-5197	130	2	0	0	NUM
ejpam-5197	130	3	,	,	PUNCT
ejpam-5197	130	4	p	p	X
ejpam-5197	130	5	]	]	PUNCT
ejpam-5197	130	6	and	and	CCONJ
ejpam-5197	130	7	show	show	VERB
ejpam-5197	130	8	the	the	DET
ejpam-5197	130	9	space	space	NOUN
ejpam-5197	130	10	of	of	ADP
ejpam-5197	130	11	all	all	DET
ejpam-5197	130	12	continuously	continuously	ADV
ejpam-5197	130	13	differentiable	differentiable	ADJ
ejpam-5197	130	14	functions	function	NOUN
ejpam-5197	130	15	from	from	ADP
ejpam-5197	130	16	order	order	NOUN
ejpam-5197	130	17	k	k	NOUN
ejpam-5197	130	18	on	on	ADP
ejpam-5197	130	19	γ̃	γ̃	PROPN
ejpam-5197	130	20	by	by	ADP
ejpam-5197	130	21	ck(γ̃	ck(γ̃	NOUN
ejpam-5197	130	22	)	)	PUNCT
ejpam-5197	130	23	.	.	PUNCT
ejpam-5197	131	1	definition	definition	NOUN
ejpam-5197	131	2	1	1	NUM
ejpam-5197	131	3	.	.	PUNCT
ejpam-5197	132	1	function	function	NOUN
ejpam-5197	132	2	ψ	ψ	NOUN
ejpam-5197	132	3	:	:	PUNCT
ejpam-5197	132	4	r+	r+	NOUN
ejpam-5197	132	5	→	→	SYM
ejpam-5197	132	6	r+	r+	NOUN
ejpam-5197	132	7	with	with	ADP
ejpam-5197	132	8	the	the	DET
ejpam-5197	132	9	following	follow	VERB
ejpam-5197	132	10	characters	character	NOUN
ejpam-5197	132	11	[	[	X
ejpam-5197	132	12	27	27	NUM
ejpam-5197	132	13	]	]	PUNCT
ejpam-5197	132	14	is	be	AUX
ejpam-5197	132	15	called	call	VERB
ejpam-5197	132	16	a	a	DET
ejpam-5197	132	17	modulus	modulus	NOUN
ejpam-5197	132	18	of	of	ADP
ejpam-5197	132	19	continuity	continuity	NOUN
ejpam-5197	132	20	•	•	NOUN
ejpam-5197	132	21	ψ	ψ	NOUN
ejpam-5197	132	22	is	be	AUX
ejpam-5197	132	23	continuous	continuous	ADJ
ejpam-5197	132	24	and	and	CCONJ
ejpam-5197	132	25	increasing	increase	VERB
ejpam-5197	132	26	,	,	PUNCT
ejpam-5197	132	27	•	•	PRON
ejpam-5197	132	28	ψ(a	ψ(a	PROPN
ejpam-5197	132	29	)	)	PUNCT
ejpam-5197	132	30	→	→	SYM
ejpam-5197	132	31	0	0	NUM
ejpam-5197	132	32	when	when	SCONJ
ejpam-5197	132	33	a	a	DET
ejpam-5197	132	34	→	→	SYM
ejpam-5197	132	35	0	0	NUM
ejpam-5197	132	36	,	,	PUNCT
ejpam-5197	132	37	•	•	NUM
ejpam-5197	132	38	ψ(a1	ψ(a1	NOUN
ejpam-5197	132	39	+	+	NUM
ejpam-5197	132	40	a2	a2	PROPN
ejpam-5197	132	41	)	)	PUNCT
ejpam-5197	132	42	≤	≤	NOUN
ejpam-5197	132	43	ψ(a1	ψ(a1	NOUN
ejpam-5197	132	44	)	)	PUNCT
ejpam-5197	132	45	+	+	SYM
ejpam-5197	132	46	ψ(a2	ψ(a2	NOUN
ejpam-5197	132	47	)	)	PUNCT
ejpam-5197	132	48	for	for	ADP
ejpam-5197	132	49	any	any	DET
ejpam-5197	132	50	a1	a1	NOUN
ejpam-5197	132	51	,	,	PUNCT
ejpam-5197	132	52	a2	a2	PROPN
ejpam-5197	132	53	∈	∈	PROPN
ejpam-5197	132	54	r	r	NOUN
ejpam-5197	132	55	,	,	PUNCT
ejpam-5197	132	56	m.	m.	NOUN
ejpam-5197	132	57	ghovatmand	ghovatmand	NOUN
ejpam-5197	132	58	et	et	PROPN
ejpam-5197	132	59	al	al	PROPN
ejpam-5197	132	60	.	.	PUNCT
ejpam-5197	132	61	/	/	SYM
ejpam-5197	132	62	eur	eur	PROPN
ejpam-5197	132	63	.	.	PUNCT
ejpam-5197	133	1	j.	j.	PROPN
ejpam-5197	133	2	pure	pure	PROPN
ejpam-5197	133	3	appl	appl	PROPN
ejpam-5197	133	4	.	.	PROPN
ejpam-5197	133	5	math	math	PROPN
ejpam-5197	133	6	,	,	PUNCT
ejpam-5197	133	7	17	17	NUM
ejpam-5197	133	8	(	(	PUNCT
ejpam-5197	133	9	3	3	NUM
ejpam-5197	133	10	)	)	PUNCT
ejpam-5197	133	11	(	(	PUNCT
ejpam-5197	133	12	2024	2024	NUM
ejpam-5197	133	13	)	)	PUNCT
ejpam-5197	133	14	,	,	PUNCT
ejpam-5197	133	15	1565	1565	NUM
ejpam-5197	133	16	-	-	SYM
ejpam-5197	133	17	1584	1584	NUM
ejpam-5197	133	18	1570	1570	NUM
ejpam-5197	133	19	•	•	NOUN
ejpam-5197	133	20	a	a	DET
ejpam-5197	133	21	≤	≤	NUM
ejpam-5197	133	22	bψ(a	bψ(a	X
ejpam-5197	133	23	)	)	PUNCT
ejpam-5197	133	24	for	for	ADP
ejpam-5197	133	25	some	some	DET
ejpam-5197	133	26	b	b	PROPN
ejpam-5197	133	27	>	>	X
ejpam-5197	133	28	0	0	NUM
ejpam-5197	133	29	and	and	CCONJ
ejpam-5197	133	30	0	0	NUM
ejpam-5197	133	31	<	<	X
ejpam-5197	133	32	a	a	DET
ejpam-5197	133	33	≤	≤	ADJ
ejpam-5197	133	34	2	2	NUM
ejpam-5197	133	35	.	.	PUNCT
ejpam-5197	134	1	one	one	NUM
ejpam-5197	134	2	of	of	ADP
ejpam-5197	134	3	the	the	DET
ejpam-5197	134	4	cases	case	NOUN
ejpam-5197	134	5	for	for	ADP
ejpam-5197	134	6	modulus	modulus	NOUN
ejpam-5197	134	7	of	of	ADP
ejpam-5197	134	8	continuity	continuity	NOUN
ejpam-5197	134	9	is	be	AUX
ejpam-5197	134	10	ψ(a	ψ(a	PROPN
ejpam-5197	134	11	)	)	PUNCT
ejpam-5197	134	12	=	=	SYM
ejpam-5197	134	13	aα	aα	NOUN
ejpam-5197	134	14	,	,	PUNCT
ejpam-5197	134	15	0	0	PUNCT
ejpam-5197	134	16	<	<	X
ejpam-5197	134	17	α	α	PROPN
ejpam-5197	134	18	≤	≤	NUM
ejpam-5197	134	19	1	1	NUM
ejpam-5197	134	20	.	.	PUNCT
ejpam-5197	135	1	show	show	VERB
ejpam-5197	135	2	the	the	DET
ejpam-5197	135	3	unit	unit	NOUN
ejpam-5197	135	4	circle	circle	NOUN
ejpam-5197	135	5	in	in	ADP
ejpam-5197	135	6	r2	r2	PROPN
ejpam-5197	135	7	by	by	ADP
ejpam-5197	135	8	b2	b2	NOUN
ejpam-5197	135	9	.	.	PUNCT
ejpam-5197	136	1	the	the	DET
ejpam-5197	136	2	continuous	continuous	ADJ
ejpam-5197	136	3	function	function	NOUN
ejpam-5197	136	4	e	e	NOUN
ejpam-5197	136	5	on	on	ADP
ejpam-5197	136	6	γ̃	γ̃	PROPN
ejpam-5197	136	7	,	,	PUNCT
ejpam-5197	136	8	admits	admit	VERB
ejpam-5197	136	9	ψ	ψ	X
ejpam-5197	136	10	(	(	PUNCT
ejpam-5197	136	11	.	.	PUNCT
ejpam-5197	136	12	)	)	PUNCT
ejpam-5197	137	1	as	as	ADP
ejpam-5197	137	2	modulus	modulus	NOUN
ejpam-5197	137	3	of	of	ADP
ejpam-5197	137	4	continuity	continuity	NOUN
ejpam-5197	138	1	if	if	SCONJ
ejpam-5197	138	2	|e	|e	PROPN
ejpam-5197	138	3	(	(	PUNCT
ejpam-5197	138	4	.	.	PUNCT
ejpam-5197	138	5	,	,	PUNCT
ejpam-5197	138	6	.)|ψ	.)|ψ	NOUN
ejpam-5197	138	7	=	=	SYM
ejpam-5197	138	8	sup	sup	PROPN
ejpam-5197	138	9	{	{	PUNCT
ejpam-5197	138	10	|e(ζ	|e(ζ	PROPN
ejpam-5197	138	11	′	′	NOUN
ejpam-5197	138	12	,	,	PUNCT
ejpam-5197	138	13	ι′)−	ι′)−	PROPN
ejpam-5197	138	14	e(ζ	e(ζ	PROPN
ejpam-5197	138	15	′′	′′	PROPN
ejpam-5197	138	16	,	,	PUNCT
ejpam-5197	138	17	ι′′)|	ι′′)|	PROPN
ejpam-5197	138	18	ψ(∥(ζ	ψ(∥(ζ	VERB
ejpam-5197	138	19	′	′	NOUN
ejpam-5197	138	20	,	,	PUNCT
ejpam-5197	138	21	ι′)−	ι′)−	PROPN
ejpam-5197	138	22	(	(	PUNCT
ejpam-5197	138	23	ζ	ζ	PROPN
ejpam-5197	138	24	′′	′′	PROPN
ejpam-5197	138	25	,	,	PUNCT
ejpam-5197	138	26	ι′′)∥∞	ι′′)∥∞	PROPN
ejpam-5197	138	27	)	)	PUNCT
ejpam-5197	138	28	:	:	PUNCT
ejpam-5197	138	29	(	(	PUNCT
ejpam-5197	138	30	ζ	ζ	NOUN
ejpam-5197	138	31	′	′	NOUN
ejpam-5197	138	32	,	,	PUNCT
ejpam-5197	138	33	ι′	ι′	NOUN
ejpam-5197	138	34	)	)	PUNCT
ejpam-5197	138	35	,	,	PUNCT
ejpam-5197	138	36	(	(	PUNCT
ejpam-5197	138	37	ζ	ζ	PROPN
ejpam-5197	138	38	′′	′′	PROPN
ejpam-5197	138	39	,	,	PUNCT
ejpam-5197	138	40	ι′′	ι′′	ADJ
ejpam-5197	138	41	)	)	PUNCT
ejpam-5197	138	42	∈	∈	PROPN
ejpam-5197	138	43	γ̃	γ̃	PROPN
ejpam-5197	138	44	,	,	PUNCT
ejpam-5197	138	45	(	(	PUNCT
ejpam-5197	138	46	ζ	ζ	NOUN
ejpam-5197	138	47	′	′	NOUN
ejpam-5197	138	48	,	,	PUNCT
ejpam-5197	138	49	ι′	ι′	NOUN
ejpam-5197	138	50	)	)	PUNCT
ejpam-5197	138	51	̸=	̸=	PROPN
ejpam-5197	138	52	(	(	PUNCT
ejpam-5197	138	53	ζ	ζ	PROPN
ejpam-5197	138	54	′′	′′	PROPN
ejpam-5197	138	55	,	,	PUNCT
ejpam-5197	138	56	ι′′	ι′′	NOUN
ejpam-5197	138	57	)	)	PUNCT
ejpam-5197	138	58	}	}	PUNCT
ejpam-5197	138	59	,	,	PUNCT
ejpam-5197	138	60	(	(	PUNCT
ejpam-5197	138	61	16	16	NUM
ejpam-5197	138	62	)	)	PUNCT
ejpam-5197	138	63	is	be	AUX
ejpam-5197	138	64	finite	finite	ADJ
ejpam-5197	138	65	and	and	CCONJ
ejpam-5197	138	66	∥(ζ	∥(ζ	VERB
ejpam-5197	138	67	′	′	NUM
ejpam-5197	138	68	,	,	PUNCT
ejpam-5197	138	69	ι′)−	ι′)−	PROPN
ejpam-5197	138	70	(	(	PUNCT
ejpam-5197	138	71	ζ	ζ	PROPN
ejpam-5197	138	72	′′	′′	PROPN
ejpam-5197	138	73	,	,	PUNCT
ejpam-5197	138	74	ι′′)∥∞	ι′′)∥∞	X
ejpam-5197	138	75	=	=	PUNCT
ejpam-5197	138	76	max{|ζ	max{|ζ	X
ejpam-5197	139	1	′	′	NOUN
ejpam-5197	139	2	−	−	PROPN
ejpam-5197	139	3	ζ	ζ	PROPN
ejpam-5197	139	4	′′|	′′|	NOUN
ejpam-5197	139	5	,	,	PUNCT
ejpam-5197	139	6	|ι′	|ι′	NOUN
ejpam-5197	139	7	−	−	NOUN
ejpam-5197	139	8	ι′′|	ι′′|	NUM
ejpam-5197	139	9	}	}	PUNCT
ejpam-5197	139	10	.	.	PUNCT
ejpam-5197	140	1	let	let	VERB
ejpam-5197	140	2	c1	c1	PROPN
ejpam-5197	140	3	ψ(b	ψ(b	PROPN
ejpam-5197	140	4	2	2	NUM
ejpam-5197	140	5	)	)	PUNCT
ejpam-5197	140	6	includes	include	VERB
ejpam-5197	140	7	functions	function	NOUN
ejpam-5197	140	8	with	with	ADP
ejpam-5197	140	9	first	first	ADJ
ejpam-5197	140	10	continuous	continuous	ADJ
ejpam-5197	140	11	differentiation	differentiation	NOUN
ejpam-5197	140	12	on	on	ADP
ejpam-5197	140	13	the	the	DET
ejpam-5197	140	14	b2	b2	NOUN
ejpam-5197	140	15	that	that	PRON
ejpam-5197	140	16	is	be	AUX
ejpam-5197	140	17	equipped	equip	VERB
ejpam-5197	140	18	with	with	ADP
ejpam-5197	140	19	the	the	DET
ejpam-5197	140	20	following	follow	VERB
ejpam-5197	140	21	norm	norm	NOUN
ejpam-5197	140	22	∥e	∥e	PROPN
ejpam-5197	140	23	(	(	PUNCT
ejpam-5197	140	24	.	.	PUNCT
ejpam-5197	140	25	,	,	PUNCT
ejpam-5197	140	26	.)∥1,ψ	.)∥1,ψ	PUNCT
ejpam-5197	141	1	=	=	PUNCT
ejpam-5197	141	2	∥e	∥e	PROPN
ejpam-5197	141	3	(	(	PUNCT
ejpam-5197	141	4	.	.	PUNCT
ejpam-5197	141	5	,	,	PUNCT
ejpam-5197	141	6	.)∥∞	.)∥∞	X
ejpam-5197	142	1	+	+	PUNCT
ejpam-5197	142	2	∥eζ′	∥eζ′	PROPN
ejpam-5197	142	3	(	(	PUNCT
ejpam-5197	142	4	.	.	PUNCT
ejpam-5197	142	5	,	,	PUNCT
ejpam-5197	142	6	.)∥∞	.)∥∞	X
ejpam-5197	143	1	+	+	CCONJ
ejpam-5197	143	2	∥eι′	∥eι′	NOUN
ejpam-5197	143	3	(	(	PUNCT
ejpam-5197	143	4	.	.	PUNCT
ejpam-5197	143	5	,	,	PUNCT
ejpam-5197	143	6	.)∥∞	.)∥∞	X
ejpam-5197	144	1	+	+	PUNCT
ejpam-5197	144	2	|eζ′	|eζ′	ADJ
ejpam-5197	144	3	(	(	PUNCT
ejpam-5197	144	4	.	.	PUNCT
ejpam-5197	144	5	,	,	PUNCT
ejpam-5197	144	6	.)|ψ	.)|ψ	PROPN
ejpam-5197	144	7	+	+	CCONJ
ejpam-5197	145	1	|eι′	|eι′	NOUN
ejpam-5197	145	2	(	(	PUNCT
ejpam-5197	145	3	.	.	PUNCT
ejpam-5197	145	4	,	,	PUNCT
ejpam-5197	145	5	.)|ψ	.)|ψ	PROPN
ejpam-5197	145	6	.	.	PUNCT
ejpam-5197	146	1	(	(	PUNCT
ejpam-5197	146	2	17	17	NUM
ejpam-5197	146	3	)	)	PUNCT
ejpam-5197	146	4	now	now	ADV
ejpam-5197	146	5	we	we	PRON
ejpam-5197	146	6	define	define	VERB
ejpam-5197	146	7	c1	c1	PROPN
ejpam-5197	146	8	ψ(γ̃	ψ(γ̃	PROPN
ejpam-5197	146	9	)	)	PUNCT
ejpam-5197	147	1	=	=	PRON
ejpam-5197	147	2	{	{	PUNCT
ejpam-5197	147	3	e	e	NOUN
ejpam-5197	147	4	(	(	PUNCT
ejpam-5197	147	5	.	.	PUNCT
ejpam-5197	147	6	,	,	PUNCT
ejpam-5197	147	7	.	.	PUNCT
ejpam-5197	147	8	)	)	PUNCT
ejpam-5197	148	1	∈	∈	PROPN
ejpam-5197	148	2	c1(γ̃	c1(γ̃	PROPN
ejpam-5197	148	3	)	)	PUNCT
ejpam-5197	148	4	:	:	PUNCT
ejpam-5197	149	1	∀(ζ	∀(ζ	NUM
ejpam-5197	149	2	′′	′′	PROPN
ejpam-5197	149	3	,	,	PUNCT
ejpam-5197	149	4	ι′′	ι′′	ADJ
ejpam-5197	149	5	)	)	PUNCT
ejpam-5197	149	6	∈	∈	PROPN
ejpam-5197	149	7	γ̃,∃	γ̃,∃	NOUN
ejpam-5197	149	8	map	map	NOUN
ejpam-5197	149	9	θ	θ	NOUN
ejpam-5197	149	10	:	:	PUNCT
ejpam-5197	149	11	b2	b2	NOUN
ejpam-5197	149	12	→	→	SYM
ejpam-5197	149	13	γ̃	γ̃	PROPN
ejpam-5197	149	14	s.t	s.t	PROPN
ejpam-5197	149	15	(	(	PUNCT
ejpam-5197	149	16	ζ	ζ	PROPN
ejpam-5197	149	17	′′	′′	PROPN
ejpam-5197	149	18	,	,	PUNCT
ejpam-5197	149	19	ι′′	ι′′	ADJ
ejpam-5197	149	20	)	)	PUNCT
ejpam-5197	149	21	∈	∈	PROPN
ejpam-5197	149	22	int(θ(b2	int(θ(b2	PROPN
ejpam-5197	149	23	)	)	PUNCT
ejpam-5197	149	24	)	)	PUNCT
ejpam-5197	149	25	,	,	PUNCT
ejpam-5197	149	26	e	e	X
ejpam-5197	149	27	◦	◦	NOUN
ejpam-5197	149	28	θ	θ	PROPN
ejpam-5197	149	29	(	(	PUNCT
ejpam-5197	149	30	.	.	PUNCT
ejpam-5197	149	31	,	,	PUNCT
ejpam-5197	149	32	.	.	PUNCT
ejpam-5197	149	33	)	)	PUNCT
ejpam-5197	150	1	∈	∈	PROPN
ejpam-5197	150	2	c1	c1	PROPN
ejpam-5197	150	3	ψ(b	ψ(b	PROPN
ejpam-5197	150	4	2	2	NUM
ejpam-5197	150	5	)	)	PUNCT
ejpam-5197	150	6	}	}	PUNCT
ejpam-5197	150	7	.	.	PUNCT
ejpam-5197	151	1	(	(	PUNCT
ejpam-5197	151	2	18	18	NUM
ejpam-5197	151	3	)	)	PUNCT
ejpam-5197	152	1	so	so	ADV
ejpam-5197	152	2	if	if	SCONJ
ejpam-5197	152	3	for	for	ADP
ejpam-5197	152	4	some	some	DET
ejpam-5197	152	5	θ1	θ1	NOUN
ejpam-5197	152	6	,	,	PUNCT
ejpam-5197	152	7	·	·	PUNCT
ejpam-5197	152	8	·	·	PUNCT
ejpam-5197	152	9	·	·	PUNCT
ejpam-5197	152	10	,	,	PUNCT
ejpam-5197	152	11	θn	θn	NUM
ejpam-5197	152	12	γ̃	γ̃	PROPN
ejpam-5197	152	13	=	=	PUNCT
ejpam-5197	152	14	n⋃	n⋃	VERB
ejpam-5197	152	15	i=1	i=1	PROPN
ejpam-5197	152	16	int(θi(b	int(θi(b	PROPN
ejpam-5197	152	17	2	2	NUM
ejpam-5197	152	18	)	)	PUNCT
ejpam-5197	152	19	)	)	PUNCT
ejpam-5197	152	20	,	,	PUNCT
ejpam-5197	152	21	then	then	ADV
ejpam-5197	152	22	e	e	X
ejpam-5197	152	23	(	(	PUNCT
ejpam-5197	152	24	.	.	PUNCT
ejpam-5197	152	25	,	,	PUNCT
ejpam-5197	152	26	.	.	PUNCT
ejpam-5197	152	27	)	)	PUNCT
ejpam-5197	153	1	∈	∈	PROPN
ejpam-5197	153	2	c1	c1	PROPN
ejpam-5197	153	3	ψ(γ̃	ψ(γ̃	PROPN
ejpam-5197	153	4	)	)	PUNCT
ejpam-5197	154	1	if	if	SCONJ
ejpam-5197	154	2	and	and	CCONJ
ejpam-5197	154	3	only	only	ADV
ejpam-5197	154	4	if	if	SCONJ
ejpam-5197	154	5	e	e	PROPN
ejpam-5197	154	6	◦	◦	VERB
ejpam-5197	154	7	θi	θi	X
ejpam-5197	154	8	(	(	PUNCT
ejpam-5197	154	9	.	.	PUNCT
ejpam-5197	154	10	,	,	PUNCT
ejpam-5197	154	11	.	.	PUNCT
ejpam-5197	154	12	)	)	PUNCT
ejpam-5197	155	1	∈	∈	PROPN
ejpam-5197	155	2	c1	c1	PROPN
ejpam-5197	155	3	ψ(b	ψ(b	PROPN
ejpam-5197	155	4	2	2	NUM
ejpam-5197	155	5	)	)	PUNCT
ejpam-5197	155	6	for	for	ADP
ejpam-5197	155	7	each	each	DET
ejpam-5197	155	8	i	i	NOUN
ejpam-5197	155	9	=	=	NOUN
ejpam-5197	155	10	1	1	NUM
ejpam-5197	155	11	,	,	PUNCT
ejpam-5197	155	12	·	·	PUNCT
ejpam-5197	155	13	·	·	PUNCT
ejpam-5197	155	14	·	·	PUNCT
ejpam-5197	155	15	,	,	PUNCT
ejpam-5197	155	16	q.	q.	PROPN
ejpam-5197	155	17	furthermore	furthermore	ADV
ejpam-5197	155	18	c1	c1	PROPN
ejpam-5197	155	19	ψ(γ̃	ψ(γ̃	PROPN
ejpam-5197	155	20	)	)	PUNCT
ejpam-5197	155	21	with	with	ADP
ejpam-5197	155	22	the	the	DET
ejpam-5197	155	23	following	follow	VERB
ejpam-5197	155	24	norm	norm	NOUN
ejpam-5197	155	25	is	be	AUX
ejpam-5197	155	26	a	a	DET
ejpam-5197	155	27	banach	banach	NOUN
ejpam-5197	155	28	space	space	NOUN
ejpam-5197	155	29	∥e	∥e	PROPN
ejpam-5197	155	30	(	(	PUNCT
ejpam-5197	155	31	.	.	PUNCT
ejpam-5197	155	32	,	,	PUNCT
ejpam-5197	155	33	.)∥1,ψ	.)∥1,ψ	PUNCT
ejpam-5197	156	1	=	=	PUNCT
ejpam-5197	157	1	q∑	q∑	PROPN
ejpam-5197	157	2	i=1	i=1	PROPN
ejpam-5197	158	1	∥e	∥e	PROPN
ejpam-5197	158	2	◦	◦	PROPN
ejpam-5197	158	3	θi∥1,ψ	θi∥1,ψ	PROPN
ejpam-5197	158	4	.	.	PUNCT
ejpam-5197	159	1	(	(	PUNCT
ejpam-5197	159	2	19	19	NUM
ejpam-5197	159	3	)	)	PUNCT
ejpam-5197	159	4	we	we	PRON
ejpam-5197	159	5	show	show	VERB
ejpam-5197	159	6	pol(q	pol(q	PRON
ejpam-5197	159	7	,	,	PUNCT
ejpam-5197	159	8	q	q	NOUN
ejpam-5197	159	9	,	,	PUNCT
ejpam-5197	159	10	γ̃	γ̃	PROPN
ejpam-5197	159	11	)	)	PUNCT
ejpam-5197	159	12	as	as	ADP
ejpam-5197	159	13	the	the	DET
ejpam-5197	159	14	space	space	NOUN
ejpam-5197	159	15	of	of	ADP
ejpam-5197	159	16	all	all	DET
ejpam-5197	159	17	polynomials	polynomial	NOUN
ejpam-5197	159	18	,	,	PUNCT
ejpam-5197	159	19	pol(q	pol(q	PROPN
ejpam-5197	159	20	,	,	PUNCT
ejpam-5197	159	21	q	q	NOUN
ejpam-5197	159	22	,	,	PUNCT
ejpam-5197	159	23	γ̃	γ̃	PROPN
ejpam-5197	159	24	)	)	PUNCT
ejpam-5197	159	25	=	=	PRON
ejpam-5197	159	26	{	{	PUNCT
ejpam-5197	159	27	θ(ζ	θ(ζ	PROPN
ejpam-5197	159	28	,	,	PUNCT
ejpam-5197	159	29	ι	ι	X
ejpam-5197	159	30	)	)	PUNCT
ejpam-5197	160	1	=	=	PUNCT
ejpam-5197	160	2	q∑	q∑	PROPN
ejpam-5197	161	1	i=0	i=0	PROPN
ejpam-5197	161	2	q∑	q∑	PROPN
ejpam-5197	161	3	j=0	j=0	PROPN
ejpam-5197	161	4	c̄ijζ	c̄ijζ	X
ejpam-5197	161	5	iιj	iιj	PROPN
ejpam-5197	161	6	;	;	PUNCT
ejpam-5197	161	7	(	(	PUNCT
ejpam-5197	161	8	ζ	ζ	X
ejpam-5197	161	9	,	,	PUNCT
ejpam-5197	161	10	ι	ι	NOUN
ejpam-5197	161	11	)	)	PUNCT
ejpam-5197	161	12	∈	∈	PROPN
ejpam-5197	161	13	γ̃	γ̃	PROPN
ejpam-5197	161	14	,	,	PUNCT
ejpam-5197	161	15	c̄ij	c̄ij	PROPN
ejpam-5197	161	16	∈	∈	PROPN
ejpam-5197	161	17	r	r	NOUN
ejpam-5197	161	18	}	}	PUNCT
ejpam-5197	161	19	.	.	PUNCT
ejpam-5197	162	1	(	(	PUNCT
ejpam-5197	162	2	20	20	X
ejpam-5197	162	3	)	)	PUNCT
ejpam-5197	162	4	lemma	lemma	PROPN
ejpam-5197	162	5	1	1	NUM
ejpam-5197	162	6	.	.	PUNCT
ejpam-5197	163	1	for	for	ADP
ejpam-5197	163	2	each	each	DET
ejpam-5197	163	3	e	e	NOUN
ejpam-5197	163	4	(	(	PUNCT
ejpam-5197	163	5	.	.	PUNCT
ejpam-5197	163	6	,	,	PUNCT
ejpam-5197	163	7	.	.	PUNCT
ejpam-5197	163	8	)	)	PUNCT
ejpam-5197	164	1	∈	∈	PROPN
ejpam-5197	164	2	c1	c1	PROPN
ejpam-5197	164	3	ψ(γ̃	ψ(γ̃	PROPN
ejpam-5197	164	4	)	)	PUNCT
ejpam-5197	164	5	,	,	PUNCT
ejpam-5197	164	6	there	there	PRON
ejpam-5197	164	7	exists	exist	VERB
ejpam-5197	164	8	a	a	DET
ejpam-5197	164	9	θ	θ	PROPN
ejpam-5197	164	10	(	(	PUNCT
ejpam-5197	164	11	.	.	PUNCT
ejpam-5197	164	12	,	,	PUNCT
ejpam-5197	164	13	.	.	PUNCT
ejpam-5197	164	14	)	)	PUNCT
ejpam-5197	165	1	∈	∈	PROPN
ejpam-5197	165	2	pol(q	pol(q	PROPN
ejpam-5197	165	3	,	,	PUNCT
ejpam-5197	165	4	q	q	NOUN
ejpam-5197	165	5	,	,	PUNCT
ejpam-5197	165	6	γ̃	γ̃	PROPN
ejpam-5197	165	7	)	)	PUNCT
ejpam-5197	165	8	such	such	ADJ
ejpam-5197	165	9	that	that	DET
ejpam-5197	165	10	∥e	∥e	PROPN
ejpam-5197	165	11	(	(	PUNCT
ejpam-5197	165	12	.	.	PUNCT
ejpam-5197	165	13	,	,	PUNCT
ejpam-5197	165	14	.)−θ	.)−θ	PUNCT
ejpam-5197	165	15	(	(	PUNCT
ejpam-5197	165	16	.	.	PUNCT
ejpam-5197	165	17	,	,	PUNCT
ejpam-5197	165	18	.)∥∞	.)∥∞	X
ejpam-5197	166	1	≤	≤	NUM
ejpam-5197	167	1	c0c1	c0c1	PUNCT
ejpam-5197	167	2	2q	2q	NOUN
ejpam-5197	167	3	ψ	ψ	X
ejpam-5197	167	4	(	(	PUNCT
ejpam-5197	167	5	1	1	NUM
ejpam-5197	167	6	2q	2q	NUM
ejpam-5197	167	7	)	)	PUNCT
ejpam-5197	167	8	,	,	PUNCT
ejpam-5197	167	9	(	(	PUNCT
ejpam-5197	167	10	21	21	NUM
ejpam-5197	167	11	)	)	PUNCT
ejpam-5197	167	12	where	where	SCONJ
ejpam-5197	167	13	c1	c1	PROPN
ejpam-5197	167	14	=	=	PROPN
ejpam-5197	167	15	∥e	∥e	PROPN
ejpam-5197	167	16	(	(	PUNCT
ejpam-5197	167	17	.	.	PUNCT
ejpam-5197	167	18	,	,	PUNCT
ejpam-5197	167	19	.)∥1,ψ	.)∥1,ψ	PUNCT
ejpam-5197	167	20	and	and	CCONJ
ejpam-5197	167	21	constant	constant	ADJ
ejpam-5197	167	22	c0	c0	NOUN
ejpam-5197	167	23	is	be	AUX
ejpam-5197	167	24	independent	independent	ADJ
ejpam-5197	167	25	of	of	ADP
ejpam-5197	167	26	q.	q.	PROPN
ejpam-5197	167	27	m.	m.	PROPN
ejpam-5197	167	28	ghovatmand	ghovatmand	PROPN
ejpam-5197	167	29	et	et	PROPN
ejpam-5197	167	30	al	al	PROPN
ejpam-5197	167	31	.	.	PUNCT
ejpam-5197	167	32	/	/	SYM
ejpam-5197	167	33	eur	eur	PROPN
ejpam-5197	167	34	.	.	PUNCT
ejpam-5197	168	1	j.	j.	PROPN
ejpam-5197	168	2	pure	pure	PROPN
ejpam-5197	168	3	appl	appl	PROPN
ejpam-5197	168	4	.	.	PROPN
ejpam-5197	168	5	math	math	PROPN
ejpam-5197	168	6	,	,	PUNCT
ejpam-5197	168	7	17	17	NUM
ejpam-5197	168	8	(	(	PUNCT
ejpam-5197	168	9	3	3	NUM
ejpam-5197	168	10	)	)	PUNCT
ejpam-5197	168	11	(	(	PUNCT
ejpam-5197	168	12	2024	2024	NUM
ejpam-5197	168	13	)	)	PUNCT
ejpam-5197	168	14	,	,	PUNCT
ejpam-5197	168	15	1565	1565	NUM
ejpam-5197	168	16	-	-	SYM
ejpam-5197	168	17	1584	1584	NUM
ejpam-5197	168	18	1571	1571	NUM
ejpam-5197	168	19	proof	proof	NOUN
ejpam-5197	168	20	.	.	PUNCT
ejpam-5197	169	1	for	for	ADP
ejpam-5197	169	2	proof	proof	NOUN
ejpam-5197	169	3	see	see	VERB
ejpam-5197	169	4	[	[	X
ejpam-5197	169	5	27	27	NUM
ejpam-5197	169	6	]	]	PUNCT
ejpam-5197	169	7	.	.	PUNCT
ejpam-5197	170	1	to	to	PART
ejpam-5197	170	2	guarantee	guarantee	VERB
ejpam-5197	170	3	the	the	DET
ejpam-5197	170	4	existence	existence	NOUN
ejpam-5197	170	5	of	of	ADP
ejpam-5197	170	6	solution	solution	NOUN
ejpam-5197	170	7	for	for	ADP
ejpam-5197	170	8	system	system	NOUN
ejpam-5197	170	9	(	(	PUNCT
ejpam-5197	170	10	15	15	NUM
ejpam-5197	170	11	)	)	PUNCT
ejpam-5197	170	12	,	,	PUNCT
ejpam-5197	170	13	we	we	PRON
ejpam-5197	170	14	change	change	VERB
ejpam-5197	170	15	it	it	PRON
ejpam-5197	170	16	in	in	ADP
ejpam-5197	170	17	form	form	PROPN
ejpam-5197	170	18	|	|	PROPN
ejpam-5197	170	19	∑q	∑q	PROPN
ejpam-5197	170	20	i=0	i=0	PROPN
ejpam-5197	170	21	η̄	η̄	X
ejpam-5197	170	22	q	q	PROPN
ejpam-5197	170	23	ildki	ildki	ADJ
ejpam-5197	170	24	−	−	PROPN
ejpam-5197	170	25	z	z	NOUN
ejpam-5197	170	26	(	(	PUNCT
ejpam-5197	170	27	ζk	ζk	PROPN
ejpam-5197	170	28	,	,	PUNCT
ejpam-5197	170	29	ιl	ιl	ADJ
ejpam-5197	170	30	,	,	PUNCT
ejpam-5197	170	31	η̄	η̄	VERB
ejpam-5197	170	32	q	q	PROPN
ejpam-5197	170	33	kl	kl	NOUN
ejpam-5197	170	34	,	,	PUNCT
ejpam-5197	170	35	φ(ζk	φ(ζk	PROPN
ejpam-5197	170	36	−	−	PROPN
ejpam-5197	170	37	µ	µ	NUM
ejpam-5197	170	38	,	,	PUNCT
ejpam-5197	170	39	ιl	ιl	NOUN
ejpam-5197	170	40	)	)	PUNCT
ejpam-5197	170	41	,	,	PUNCT
ejpam-5197	170	42	∑q	∑q	PROPN
ejpam-5197	170	43	j=0	j=0	PROPN
ejpam-5197	170	44	η̄	η̄	PROPN
ejpam-5197	170	45	q	q	PROPN
ejpam-5197	170	46	kjd	kjd	NOUN
ejpam-5197	170	47	(	(	PUNCT
ejpam-5197	170	48	2	2	NUM
ejpam-5197	170	49	)	)	PUNCT
ejpam-5197	170	50	lj	lj	NOUN
ejpam-5197	170	51	)	)	PUNCT
ejpam-5197	171	1	|	|	ADV
ejpam-5197	171	2	≤	≤	NUM
ejpam-5197	171	3	√	√	DET
ejpam-5197	171	4	q	q	NOUN
ejpam-5197	171	5	2q−1ψ	2q−1ψ	NUM
ejpam-5197	171	6	(	(	PUNCT
ejpam-5197	171	7	1	1	NUM
ejpam-5197	171	8	2q−1	2q−1	NUM
ejpam-5197	171	9	)	)	PUNCT
ejpam-5197	171	10	,	,	PUNCT
ejpam-5197	171	11	k	k	X
ejpam-5197	172	1	=	=	SYM
ejpam-5197	172	2	1	1	NUM
ejpam-5197	172	3	,	,	PUNCT
ejpam-5197	172	4	·	·	PUNCT
ejpam-5197	172	5	·	·	PUNCT
ejpam-5197	172	6	·	·	PUNCT
ejpam-5197	172	7	sµ	sµ	ADP
ejpam-5197	172	8	,	,	PUNCT
ejpam-5197	172	9	l	l	NOUN
ejpam-5197	172	10	=	=	SYM
ejpam-5197	172	11	1	1	NUM
ejpam-5197	172	12	,	,	PUNCT
ejpam-5197	172	13	2	2	NUM
ejpam-5197	172	14	,	,	PUNCT
ejpam-5197	172	15	·	·	PUNCT
ejpam-5197	172	16	·	·	PUNCT
ejpam-5197	172	17	·	·	PUNCT
ejpam-5197	172	18	,	,	PUNCT
ejpam-5197	172	19	q−	q−	PROPN
ejpam-5197	172	20	1	1	NUM
ejpam-5197	172	21	,	,	PUNCT
ejpam-5197	172	22	|	|	ADV
ejpam-5197	172	23	∑q	∑q	PROPN
ejpam-5197	172	24	i=0	i=0	PROPN
ejpam-5197	172	25	η̄	η̄	X
ejpam-5197	173	1	q	q	PROPN
ejpam-5197	173	2	ildki	ildki	ADJ
ejpam-5197	173	3	−	−	PROPN
ejpam-5197	173	4	z	z	NOUN
ejpam-5197	173	5	(	(	PUNCT
ejpam-5197	173	6	ζk	ζk	PROPN
ejpam-5197	173	7	,	,	PUNCT
ejpam-5197	173	8	ιl	ιl	ADJ
ejpam-5197	173	9	,	,	PUNCT
ejpam-5197	173	10	η̄	η̄	VERB
ejpam-5197	173	11	q	q	PROPN
ejpam-5197	173	12	kl	kl	NOUN
ejpam-5197	173	13	,	,	PUNCT
ejpam-5197	173	14	∑q	∑q	PROPN
ejpam-5197	173	15	i=0	i=0	PROPN
ejpam-5197	173	16	η̄	η̄	X
ejpam-5197	173	17	q	q	X
ejpam-5197	173	18	il	il	X
ejpam-5197	173	19	hi(ζk	hi(ζk	PROPN
ejpam-5197	173	20	−	−	PROPN
ejpam-5197	173	21	µ	µ	NUM
ejpam-5197	173	22	)	)	PUNCT
ejpam-5197	173	23	,	,	PUNCT
ejpam-5197	173	24	∑q	∑q	PROPN
ejpam-5197	173	25	j=0	j=0	PROPN
ejpam-5197	173	26	η̄	η̄	PROPN
ejpam-5197	173	27	q	q	PROPN
ejpam-5197	173	28	kjd	kjd	NOUN
ejpam-5197	173	29	(	(	PUNCT
ejpam-5197	173	30	2	2	NUM
ejpam-5197	173	31	)	)	PUNCT
ejpam-5197	173	32	lj	lj	NOUN
ejpam-5197	173	33	)	)	PUNCT
ejpam-5197	174	1	|	|	ADV
ejpam-5197	174	2	≤	≤	NUM
ejpam-5197	174	3	√	√	DET
ejpam-5197	174	4	q	q	NOUN
ejpam-5197	174	5	2q−1ψ	2q−1ψ	NUM
ejpam-5197	174	6	(	(	PUNCT
ejpam-5197	174	7	1	1	NUM
ejpam-5197	174	8	2q−1	2q−1	NUM
ejpam-5197	174	9	)	)	PUNCT
ejpam-5197	174	10	,	,	PUNCT
ejpam-5197	174	11	k	k	X
ejpam-5197	174	12	=	=	PUNCT
ejpam-5197	174	13	sµ	sµ	PROPN
ejpam-5197	174	14	+	+	CCONJ
ejpam-5197	174	15	1	1	NUM
ejpam-5197	174	16	,	,	PUNCT
ejpam-5197	174	17	·	·	PUNCT
ejpam-5197	174	18	·	·	PUNCT
ejpam-5197	174	19	·	·	PUNCT
ejpam-5197	174	20	,	,	PUNCT
ejpam-5197	174	21	q	q	X
ejpam-5197	174	22	,	,	PUNCT
ejpam-5197	174	23	l	l	NOUN
ejpam-5197	174	24	=	=	SYM
ejpam-5197	174	25	1	1	NUM
ejpam-5197	174	26	,	,	PUNCT
ejpam-5197	174	27	2	2	NUM
ejpam-5197	174	28	,	,	PUNCT
ejpam-5197	174	29	·	·	PUNCT
ejpam-5197	174	30	·	·	PUNCT
ejpam-5197	174	31	·	·	PUNCT
ejpam-5197	174	32	,	,	PUNCT
ejpam-5197	174	33	q−	q−	PROPN
ejpam-5197	174	34	1	1	NUM
ejpam-5197	174	35	,	,	PUNCT
ejpam-5197	174	36	|η̄q0l	|η̄q0l	NOUN
ejpam-5197	175	1	−	−	NOUN
ejpam-5197	175	2	φ(0	φ(0	ADJ
ejpam-5197	175	3	,	,	PUNCT
ejpam-5197	175	4	ιl)|	ιl)|	ADP
ejpam-5197	175	5	≤	≤	NUM
ejpam-5197	175	6	√	√	NUM
ejpam-5197	175	7	q	q	NOUN
ejpam-5197	175	8	2q−1ψ	2q−1ψ	NUM
ejpam-5197	175	9	(	(	PUNCT
ejpam-5197	175	10	1	1	NUM
ejpam-5197	175	11	2q−1	2q−1	NUM
ejpam-5197	175	12	)	)	PUNCT
ejpam-5197	175	13	,	,	PUNCT
ejpam-5197	175	14	l	l	NOUN
ejpam-5197	175	15	=	=	SYM
ejpam-5197	175	16	1	1	NUM
ejpam-5197	175	17	,	,	PUNCT
ejpam-5197	175	18	2	2	NUM
ejpam-5197	175	19	,	,	PUNCT
ejpam-5197	175	20	·	·	PUNCT
ejpam-5197	175	21	·	·	PUNCT
ejpam-5197	175	22	·	·	PUNCT
ejpam-5197	175	23	,	,	PUNCT
ejpam-5197	175	24	q−	q−	PROPN
ejpam-5197	175	25	1	1	NUM
ejpam-5197	175	26	,	,	PUNCT
ejpam-5197	175	27	|η̄qk0	|η̄qk0	X
ejpam-5197	175	28	−	−	PROPN
ejpam-5197	175	29	g1(ζk)|	g1(ζk)|	PROPN
ejpam-5197	175	30	≤	≤	PROPN
ejpam-5197	175	31	√	√	NUM
ejpam-5197	175	32	q	q	NOUN
ejpam-5197	175	33	2q−1ψ	2q−1ψ	NUM
ejpam-5197	175	34	(	(	PUNCT
ejpam-5197	175	35	1	1	NUM
ejpam-5197	175	36	2q−1	2q−1	NUM
ejpam-5197	175	37	)	)	PUNCT
ejpam-5197	175	38	,	,	PUNCT
ejpam-5197	175	39	k	k	X
ejpam-5197	175	40	=	=	SYM
ejpam-5197	175	41	0	0	NUM
ejpam-5197	175	42	,	,	PUNCT
ejpam-5197	175	43	1	1	NUM
ejpam-5197	175	44	,	,	PUNCT
ejpam-5197	175	45	·	·	PUNCT
ejpam-5197	175	46	·	·	PUNCT
ejpam-5197	175	47	·	·	PUNCT
ejpam-5197	175	48	,	,	PUNCT
ejpam-5197	175	49	q	q	X
ejpam-5197	175	50	,	,	PUNCT
ejpam-5197	175	51	|η̄qkq	|η̄qkq	VERB
ejpam-5197	175	52	−	−	PROPN
ejpam-5197	175	53	g2(ζk)|	g2(ζk)|	PROPN
ejpam-5197	175	54	≤	≤	PROPN
ejpam-5197	175	55	√	√	NUM
ejpam-5197	175	56	q	q	NOUN
ejpam-5197	175	57	2q−1ψ	2q−1ψ	NUM
ejpam-5197	175	58	(	(	PUNCT
ejpam-5197	175	59	1	1	NUM
ejpam-5197	175	60	2q−1	2q−1	NUM
ejpam-5197	175	61	)	)	PUNCT
ejpam-5197	175	62	,	,	PUNCT
ejpam-5197	175	63	k	k	X
ejpam-5197	175	64	=	=	SYM
ejpam-5197	175	65	0	0	NUM
ejpam-5197	175	66	,	,	PUNCT
ejpam-5197	175	67	1	1	NUM
ejpam-5197	175	68	,	,	PUNCT
ejpam-5197	175	69	·	·	PUNCT
ejpam-5197	175	70	·	·	PUNCT
ejpam-5197	175	71	·	·	PUNCT
ejpam-5197	175	72	,	,	PUNCT
ejpam-5197	175	73	q	q	X
ejpam-5197	175	74	,	,	PUNCT
ejpam-5197	175	75	(	(	PUNCT
ejpam-5197	175	76	22	22	NUM
ejpam-5197	175	77	)	)	PUNCT
ejpam-5197	175	78	where	where	SCONJ
ejpam-5197	175	79	ψ	ψ	X
ejpam-5197	175	80	(	(	PUNCT
ejpam-5197	175	81	.	.	PUNCT
ejpam-5197	175	82	)	)	PUNCT
ejpam-5197	175	83	is	be	AUX
ejpam-5197	175	84	a	a	DET
ejpam-5197	175	85	given	give	VERB
ejpam-5197	175	86	modulus	modulus	NOUN
ejpam-5197	175	87	of	of	ADP
ejpam-5197	175	88	continuity	continuity	NOUN
ejpam-5197	175	89	and	and	CCONJ
ejpam-5197	175	90	q	q	NOUN
ejpam-5197	175	91	is	be	AUX
ejpam-5197	175	92	sufficiently	sufficiently	ADV
ejpam-5197	175	93	big	big	ADJ
ejpam-5197	175	94	.	.	PUNCT
ejpam-5197	176	1	whereas	whereas	SCONJ
ejpam-5197	176	2	limq→∞	limq→∞	PROPN
ejpam-5197	176	3	√	√	NUM
ejpam-5197	176	4	q	q	PROPN
ejpam-5197	176	5	2q−1ψ	2q−1ψ	NUM
ejpam-5197	176	6	(	(	PUNCT
ejpam-5197	176	7	1	1	NUM
ejpam-5197	176	8	2q−1	2q−1	NUM
ejpam-5197	176	9	)	)	PUNCT
ejpam-5197	176	10	=	=	SYM
ejpam-5197	176	11	0	0	NUM
ejpam-5197	176	12	,	,	PUNCT
ejpam-5197	176	13	any	any	DET
ejpam-5197	176	14	solution	solution	NOUN
ejpam-5197	176	15	η̄qkl	η̄qkl	PUNCT
ejpam-5197	176	16	(	(	PUNCT
ejpam-5197	176	17	k	k	NOUN
ejpam-5197	176	18	=	=	SYM
ejpam-5197	176	19	0	0	NUM
ejpam-5197	176	20	,	,	PUNCT
ejpam-5197	176	21	1	1	NUM
ejpam-5197	176	22	,	,	PUNCT
ejpam-5197	176	23	·	·	PUNCT
ejpam-5197	176	24	·	·	PUNCT
ejpam-5197	176	25	·	·	PUNCT
ejpam-5197	176	26	,	,	PUNCT
ejpam-5197	176	27	q	q	X
ejpam-5197	176	28	,	,	PUNCT
ejpam-5197	176	29	l	l	NOUN
ejpam-5197	176	30	=	=	SYM
ejpam-5197	176	31	0	0	NUM
ejpam-5197	176	32	,	,	PUNCT
ejpam-5197	176	33	1	1	NUM
ejpam-5197	176	34	,	,	PUNCT
ejpam-5197	176	35	·	·	PUNCT
ejpam-5197	176	36	·	·	PUNCT
ejpam-5197	176	37	·	·	PUNCT
ejpam-5197	176	38	,	,	PUNCT
ejpam-5197	176	39	q	q	X
ejpam-5197	176	40	)	)	PUNCT
ejpam-5197	176	41	of	of	ADP
ejpam-5197	176	42	(	(	PUNCT
ejpam-5197	176	43	22	22	NUM
ejpam-5197	176	44	)	)	PUNCT
ejpam-5197	176	45	is	be	AUX
ejpam-5197	176	46	a	a	DET
ejpam-5197	176	47	solution	solution	NOUN
ejpam-5197	176	48	for	for	ADP
ejpam-5197	176	49	(	(	PUNCT
ejpam-5197	176	50	15	15	NUM
ejpam-5197	176	51	)	)	PUNCT
ejpam-5197	176	52	when	when	SCONJ
ejpam-5197	176	53	q	q	NOUN
ejpam-5197	176	54	→	→	PUNCT
ejpam-5197	176	55	∞.	∞.	PROPN
ejpam-5197	176	56	in	in	ADP
ejpam-5197	176	57	the	the	DET
ejpam-5197	176	58	next	next	ADJ
ejpam-5197	176	59	theorem	theorem	NOUN
ejpam-5197	176	60	,	,	PUNCT
ejpam-5197	176	61	we	we	PRON
ejpam-5197	176	62	prove	prove	VERB
ejpam-5197	176	63	that	that	SCONJ
ejpam-5197	176	64	the	the	DET
ejpam-5197	176	65	system	system	NOUN
ejpam-5197	176	66	(	(	PUNCT
ejpam-5197	176	67	22	22	NUM
ejpam-5197	176	68	)	)	PUNCT
ejpam-5197	176	69	has	have	VERB
ejpam-5197	176	70	a	a	DET
ejpam-5197	176	71	solution	solution	NOUN
ejpam-5197	176	72	.	.	PUNCT
ejpam-5197	177	1	theorem	theorem	NOUN
ejpam-5197	177	2	1	1	NUM
ejpam-5197	177	3	.	.	PUNCT
ejpam-5197	178	1	let	let	VERB
ejpam-5197	178	2	η	η	PROPN
ejpam-5197	178	3	(	(	PUNCT
ejpam-5197	178	4	.	.	PUNCT
ejpam-5197	178	5	,	,	PUNCT
ejpam-5197	178	6	.	.	PUNCT
ejpam-5197	178	7	)	)	PUNCT
ejpam-5197	179	1	is	be	AUX
ejpam-5197	179	2	a	a	DET
ejpam-5197	179	3	solution	solution	NOUN
ejpam-5197	179	4	for	for	ADP
ejpam-5197	179	5	set	set	NOUN
ejpam-5197	179	6	(	(	PUNCT
ejpam-5197	179	7	1)-(3	1)-(3	NUM
ejpam-5197	179	8	)	)	PUNCT
ejpam-5197	180	1	where	where	SCONJ
ejpam-5197	180	2	η	η	PROPN
ejpam-5197	180	3	(	(	PUNCT
ejpam-5197	180	4	.	.	PUNCT
ejpam-5197	180	5	,	,	PUNCT
ejpam-5197	180	6	.	.	PUNCT
ejpam-5197	180	7	)	)	PUNCT
ejpam-5197	181	1	∈	∈	PROPN
ejpam-5197	181	2	c1	c1	PROPN
ejpam-5197	181	3	ψ(γ̃	ψ(γ̃	PROPN
ejpam-5197	181	4	)	)	PUNCT
ejpam-5197	181	5	.	.	PUNCT
ejpam-5197	182	1	then	then	ADV
ejpam-5197	182	2	there	there	PRON
ejpam-5197	182	3	is	be	VERB
ejpam-5197	182	4	a	a	DET
ejpam-5197	182	5	positive	positive	ADJ
ejpam-5197	182	6	integer	integer	NOUN
ejpam-5197	182	7	q1	q1	PROPN
ejpam-5197	182	8	such	such	ADJ
ejpam-5197	182	9	that	that	PRON
ejpam-5197	182	10	for	for	ADP
ejpam-5197	182	11	q	q	PROPN
ejpam-5197	182	12	≥	≥	PROPN
ejpam-5197	182	13	q1	q1	VERB
ejpam-5197	182	14	the	the	DET
ejpam-5197	182	15	set	set	NOUN
ejpam-5197	182	16	(	(	PUNCT
ejpam-5197	182	17	22	22	NUM
ejpam-5197	182	18	)	)	PUNCT
ejpam-5197	182	19	has	have	AUX
ejpam-5197	182	20	a	a	DET
ejpam-5197	182	21	solution	solution	NOUN
ejpam-5197	182	22	as	as	ADP
ejpam-5197	182	23	η̄q	η̄q	PUNCT
ejpam-5197	182	24	=	=	PRON
ejpam-5197	182	25	(	(	PUNCT
ejpam-5197	182	26	η̄qkl	η̄qkl	ADV
ejpam-5197	182	27	;	;	PUNCT
ejpam-5197	182	28	k	k	PROPN
ejpam-5197	182	29	=	=	SYM
ejpam-5197	182	30	0	0	NUM
ejpam-5197	182	31	,	,	PUNCT
ejpam-5197	182	32	1	1	NUM
ejpam-5197	182	33	,	,	PUNCT
ejpam-5197	182	34	·	·	PUNCT
ejpam-5197	182	35	·	·	PUNCT
ejpam-5197	182	36	·	·	PUNCT
ejpam-5197	182	37	,	,	PUNCT
ejpam-5197	182	38	q	q	X
ejpam-5197	182	39	,	,	PUNCT
ejpam-5197	182	40	l	l	NOUN
ejpam-5197	182	41	=	=	SYM
ejpam-5197	182	42	0	0	NUM
ejpam-5197	182	43	,	,	PUNCT
ejpam-5197	182	44	1	1	NUM
ejpam-5197	182	45	,	,	PUNCT
ejpam-5197	182	46	·	·	PUNCT
ejpam-5197	182	47	·	·	PUNCT
ejpam-5197	182	48	·	·	PUNCT
ejpam-5197	182	49	,	,	PUNCT
ejpam-5197	182	50	q	q	X
ejpam-5197	182	51	)	)	PUNCT
ejpam-5197	182	52	,	,	PUNCT
ejpam-5197	182	53	that	that	PRON
ejpam-5197	182	54	satisfies	satisfy	VERB
ejpam-5197	182	55	relationship	relationship	NOUN
ejpam-5197	182	56	|η(ζk	|η(ζk	PROPN
ejpam-5197	182	57	,	,	PUNCT
ejpam-5197	182	58	ιl)−	ιl)−	PRON
ejpam-5197	182	59	η̄qkl|	η̄qkl|	VERB
ejpam-5197	182	60	≤	≤	NUM
ejpam-5197	183	1	c	c	X
ejpam-5197	183	2	2q−	2q−	PROPN
ejpam-5197	183	3	1	1	NUM
ejpam-5197	183	4	ψ	ψ	NOUN
ejpam-5197	183	5	(	(	PUNCT
ejpam-5197	183	6	1	1	NUM
ejpam-5197	183	7	2q−	2q−	NUM
ejpam-5197	183	8	1	1	NUM
ejpam-5197	183	9	)	)	PUNCT
ejpam-5197	183	10	,	,	PUNCT
ejpam-5197	183	11	k	k	X
ejpam-5197	183	12	=	=	SYM
ejpam-5197	183	13	0	0	NUM
ejpam-5197	183	14	,	,	PUNCT
ejpam-5197	183	15	1	1	NUM
ejpam-5197	183	16	,	,	PUNCT
ejpam-5197	183	17	·	·	PUNCT
ejpam-5197	183	18	·	·	PUNCT
ejpam-5197	183	19	·	·	PUNCT
ejpam-5197	183	20	,	,	PUNCT
ejpam-5197	183	21	q	q	X
ejpam-5197	183	22	,	,	PUNCT
ejpam-5197	183	23	l	l	NOUN
ejpam-5197	183	24	=	=	SYM
ejpam-5197	183	25	0	0	NUM
ejpam-5197	183	26	,	,	PUNCT
ejpam-5197	183	27	1	1	NUM
ejpam-5197	183	28	,	,	PUNCT
ejpam-5197	183	29	·	·	PUNCT
ejpam-5197	183	30	·	·	PUNCT
ejpam-5197	183	31	·	·	PUNCT
ejpam-5197	183	32	,	,	PUNCT
ejpam-5197	183	33	q	q	X
ejpam-5197	183	34	,	,	PUNCT
ejpam-5197	183	35	(	(	PUNCT
ejpam-5197	183	36	23	23	NUM
ejpam-5197	183	37	)	)	PUNCT
ejpam-5197	183	38	where	where	SCONJ
ejpam-5197	183	39	c	c	X
ejpam-5197	183	40	>	>	X
ejpam-5197	183	41	0	0	NUM
ejpam-5197	183	42	is	be	AUX
ejpam-5197	183	43	a	a	DET
ejpam-5197	183	44	constant	constant	ADJ
ejpam-5197	183	45	,	,	PUNCT
ejpam-5197	183	46	independent	independent	ADJ
ejpam-5197	183	47	of	of	ADP
ejpam-5197	183	48	q.	q.	PROPN
ejpam-5197	183	49	proof	proof	NOUN
ejpam-5197	183	50	.	.	PUNCT
ejpam-5197	184	1	let	let	VERB
ejpam-5197	184	2	θ	θ	X
ejpam-5197	184	3	(	(	PUNCT
ejpam-5197	184	4	.	.	PUNCT
ejpam-5197	184	5	,	,	PUNCT
ejpam-5197	184	6	.	.	PUNCT
ejpam-5197	184	7	)	)	PUNCT
ejpam-5197	185	1	∈	∈	PROPN
ejpam-5197	185	2	pol(q	pol(q	NOUN
ejpam-5197	185	3	−	−	PROPN
ejpam-5197	185	4	1	1	NUM
ejpam-5197	185	5	,	,	PUNCT
ejpam-5197	185	6	q	q	NOUN
ejpam-5197	185	7	,	,	PUNCT
ejpam-5197	185	8	γ̃	γ̃	PROPN
ejpam-5197	185	9	)	)	PUNCT
ejpam-5197	185	10	be	be	VERB
ejpam-5197	185	11	the	the	DET
ejpam-5197	185	12	best	good	ADJ
ejpam-5197	185	13	approximation	approximation	NOUN
ejpam-5197	185	14	for	for	ADP
ejpam-5197	185	15	ηζ	ηζ	NOUN
ejpam-5197	185	16	(	(	PUNCT
ejpam-5197	185	17	.	.	PUNCT
ejpam-5197	185	18	,	,	PUNCT
ejpam-5197	185	19	.	.	PUNCT
ejpam-5197	185	20	)	)	PUNCT
ejpam-5197	185	21	.	.	PUNCT
ejpam-5197	186	1	by	by	ADP
ejpam-5197	186	2	using	use	VERB
ejpam-5197	186	3	the	the	DET
ejpam-5197	186	4	lemma	lemma	PROPN
ejpam-5197	186	5	4.1	4.1	NUM
ejpam-5197	186	6	we	we	PRON
ejpam-5197	186	7	have	have	VERB
ejpam-5197	186	8	∥ηζ(ζ	∥ηζ(ζ	VERB
ejpam-5197	186	9	,	,	PUNCT
ejpam-5197	186	10	ι)−θ(ζ	ι)−θ(ζ	ADP
ejpam-5197	186	11	,	,	PUNCT
ejpam-5197	186	12	ι)∥∞	ι)∥∞	X
ejpam-5197	186	13	≤	≤	NUM
ejpam-5197	186	14	ξ	ξ	X
ejpam-5197	186	15	2q−	2q−	PROPN
ejpam-5197	186	16	1	1	NUM
ejpam-5197	186	17	ψ	ψ	NOUN
ejpam-5197	186	18	(	(	PUNCT
ejpam-5197	186	19	1	1	NUM
ejpam-5197	186	20	2q−	2q−	NUM
ejpam-5197	186	21	1	1	NUM
ejpam-5197	186	22	)	)	PUNCT
ejpam-5197	186	23	,	,	PUNCT
ejpam-5197	186	24	(	(	PUNCT
ejpam-5197	186	25	ζ	ζ	X
ejpam-5197	186	26	,	,	PUNCT
ejpam-5197	186	27	ι	ι	NOUN
ejpam-5197	186	28	)	)	PUNCT
ejpam-5197	186	29	∈	∈	PROPN
ejpam-5197	186	30	γ̃	γ̃	PROPN
ejpam-5197	186	31	,	,	PUNCT
ejpam-5197	186	32	(	(	PUNCT
ejpam-5197	186	33	24	24	NUM
ejpam-5197	186	34	)	)	PUNCT
ejpam-5197	186	35	where	where	SCONJ
ejpam-5197	186	36	ξ	ξ	X
ejpam-5197	186	37	>	>	X
ejpam-5197	186	38	0	0	NUM
ejpam-5197	186	39	is	be	AUX
ejpam-5197	186	40	not	not	PART
ejpam-5197	186	41	dependent	dependent	ADJ
ejpam-5197	186	42	on	on	ADP
ejpam-5197	186	43	q.	q.	PROPN
ejpam-5197	186	44	now	now	ADV
ejpam-5197	186	45	,	,	PUNCT
ejpam-5197	186	46	we	we	PRON
ejpam-5197	186	47	describe	describe	VERB
ejpam-5197	186	48	the	the	DET
ejpam-5197	186	49	function	function	NOUN
ejpam-5197	186	50	η̄	η̄	NOUN
ejpam-5197	186	51	(	(	PUNCT
ejpam-5197	186	52	.	.	PUNCT
ejpam-5197	186	53	,	,	PUNCT
ejpam-5197	186	54	.	.	PUNCT
ejpam-5197	186	55	)	)	PUNCT
ejpam-5197	187	1	in	in	ADP
ejpam-5197	187	2	form	form	NOUN
ejpam-5197	187	3	η̄(ζ	η̄(ζ	NOUN
ejpam-5197	187	4	,	,	PUNCT
ejpam-5197	187	5	ι	ι	PROPN
ejpam-5197	187	6	)	)	PUNCT
ejpam-5197	187	7	=	=	SYM
ejpam-5197	187	8	η(0	η(0	PROPN
ejpam-5197	187	9	,	,	PUNCT
ejpam-5197	187	10	ι	ι	PROPN
ejpam-5197	187	11	)	)	PUNCT
ejpam-5197	188	1	+	+	CCONJ
ejpam-5197	188	2	∫	∫	PROPN
ejpam-5197	188	3	ζ	ζ	NOUN
ejpam-5197	188	4	0	0	PUNCT
ejpam-5197	188	5	θ(τ	θ(τ	PROPN
ejpam-5197	188	6	,	,	PUNCT
ejpam-5197	188	7	ι)dτ	ι)dτ	PROPN
ejpam-5197	188	8	,	,	PUNCT
ejpam-5197	188	9	(	(	PUNCT
ejpam-5197	188	10	ζ	ζ	X
ejpam-5197	188	11	,	,	PUNCT
ejpam-5197	188	12	ι	ι	NOUN
ejpam-5197	188	13	)	)	PUNCT
ejpam-5197	188	14	∈	∈	PROPN
ejpam-5197	188	15	γ̃	γ̃	PROPN
ejpam-5197	188	16	,	,	PUNCT
ejpam-5197	188	17	(	(	PUNCT
ejpam-5197	188	18	25	25	NUM
ejpam-5197	188	19	)	)	PUNCT
ejpam-5197	188	20	and	and	CCONJ
ejpam-5197	188	21	η̄qkl	η̄qkl	ADJ
ejpam-5197	188	22	=	=	PUNCT
ejpam-5197	188	23	η̄(ζk	η̄(ζk	X
ejpam-5197	188	24	,	,	PUNCT
ejpam-5197	188	25	ιl	ιl	NOUN
ejpam-5197	188	26	)	)	PUNCT
ejpam-5197	188	27	;	;	PUNCT
ejpam-5197	188	28	k	k	X
ejpam-5197	188	29	=	=	SYM
ejpam-5197	188	30	0	0	NUM
ejpam-5197	188	31	,	,	PUNCT
ejpam-5197	188	32	1	1	NUM
ejpam-5197	188	33	,	,	PUNCT
ejpam-5197	188	34	·	·	PUNCT
ejpam-5197	188	35	·	·	PUNCT
ejpam-5197	188	36	·	·	PUNCT
ejpam-5197	188	37	,	,	PUNCT
ejpam-5197	188	38	q	q	X
ejpam-5197	188	39	,	,	PUNCT
ejpam-5197	188	40	l	l	NOUN
ejpam-5197	188	41	=	=	SYM
ejpam-5197	188	42	0	0	NUM
ejpam-5197	188	43	,	,	PUNCT
ejpam-5197	188	44	1	1	NUM
ejpam-5197	188	45	,	,	PUNCT
ejpam-5197	188	46	·	·	PUNCT
ejpam-5197	188	47	·	·	PUNCT
ejpam-5197	188	48	·	·	PUNCT
ejpam-5197	188	49	,	,	PUNCT
ejpam-5197	188	50	q.	q.	PROPN
ejpam-5197	188	51	(	(	PUNCT
ejpam-5197	188	52	26	26	NUM
ejpam-5197	188	53	)	)	PUNCT
ejpam-5197	188	54	m.	m.	NOUN
ejpam-5197	188	55	ghovatmand	ghovatmand	NOUN
ejpam-5197	188	56	et	et	PROPN
ejpam-5197	188	57	al	al	PROPN
ejpam-5197	188	58	.	.	PUNCT
ejpam-5197	188	59	/	/	SYM
ejpam-5197	188	60	eur	eur	PROPN
ejpam-5197	188	61	.	.	PUNCT
ejpam-5197	189	1	j.	j.	PROPN
ejpam-5197	189	2	pure	pure	PROPN
ejpam-5197	189	3	appl	appl	PROPN
ejpam-5197	189	4	.	.	PROPN
ejpam-5197	189	5	math	math	PROPN
ejpam-5197	189	6	,	,	PUNCT
ejpam-5197	189	7	17	17	NUM
ejpam-5197	189	8	(	(	PUNCT
ejpam-5197	189	9	3	3	NUM
ejpam-5197	189	10	)	)	PUNCT
ejpam-5197	189	11	(	(	PUNCT
ejpam-5197	189	12	2024	2024	NUM
ejpam-5197	189	13	)	)	PUNCT
ejpam-5197	189	14	,	,	PUNCT
ejpam-5197	189	15	1565	1565	NUM
ejpam-5197	189	16	-	-	SYM
ejpam-5197	189	17	1584	1584	NUM
ejpam-5197	189	18	1572	1572	NUM
ejpam-5197	189	19	we	we	PRON
ejpam-5197	189	20	will	will	AUX
ejpam-5197	189	21	confirm	confirm	VERB
ejpam-5197	189	22	that	that	SCONJ
ejpam-5197	189	23	η̄q	η̄q	PROPN
ejpam-5197	189	24	=	=	PRON
ejpam-5197	189	25	(	(	PUNCT
ejpam-5197	189	26	η̄qkl	η̄qkl	ADV
ejpam-5197	189	27	;	;	PUNCT
ejpam-5197	189	28	k	k	PROPN
ejpam-5197	189	29	=	=	SYM
ejpam-5197	189	30	0	0	NUM
ejpam-5197	189	31	,	,	PUNCT
ejpam-5197	189	32	1	1	NUM
ejpam-5197	189	33	,	,	PUNCT
ejpam-5197	189	34	·	·	PUNCT
ejpam-5197	189	35	·	·	PUNCT
ejpam-5197	189	36	·	·	PUNCT
ejpam-5197	189	37	,	,	PUNCT
ejpam-5197	189	38	q	q	X
ejpam-5197	189	39	,	,	PUNCT
ejpam-5197	189	40	l	l	NOUN
ejpam-5197	189	41	=	=	SYM
ejpam-5197	189	42	0	0	NUM
ejpam-5197	189	43	,	,	PUNCT
ejpam-5197	189	44	1	1	NUM
ejpam-5197	189	45	,	,	PUNCT
ejpam-5197	189	46	·	·	PUNCT
ejpam-5197	189	47	·	·	PUNCT
ejpam-5197	189	48	·	·	PUNCT
ejpam-5197	189	49	,	,	PUNCT
ejpam-5197	189	50	q	q	X
ejpam-5197	189	51	)	)	PUNCT
ejpam-5197	189	52	applies	apply	VERB
ejpam-5197	189	53	to	to	ADP
ejpam-5197	189	54	system	system	NOUN
ejpam-5197	189	55	(	(	PUNCT
ejpam-5197	189	56	22	22	NUM
ejpam-5197	189	57	)	)	PUNCT
ejpam-5197	189	58	.	.	PUNCT
ejpam-5197	190	1	with	with	ADP
ejpam-5197	190	2	(	(	PUNCT
ejpam-5197	190	3	24	24	NUM
ejpam-5197	190	4	)	)	PUNCT
ejpam-5197	190	5	,	,	PUNCT
ejpam-5197	190	6	(	(	PUNCT
ejpam-5197	190	7	25	25	NUM
ejpam-5197	190	8	)	)	PUNCT
ejpam-5197	190	9	and	and	CCONJ
ejpam-5197	190	10	(	(	PUNCT
ejpam-5197	190	11	26	26	NUM
ejpam-5197	190	12	)	)	PUNCT
ejpam-5197	190	13	we	we	PRON
ejpam-5197	190	14	have	have	VERB
ejpam-5197	190	15	|η(ζ	|η(ζ	PROPN
ejpam-5197	190	16	,	,	PUNCT
ejpam-5197	190	17	ι)−	ι)−	PROPN
ejpam-5197	190	18	η̄(ζ	η̄(ζ	PROPN
ejpam-5197	190	19	,	,	PUNCT
ejpam-5197	190	20	ι)|	ι)|	NOUN
ejpam-5197	190	21	=	=	PUNCT
ejpam-5197	191	1	|	|	ADV
ejpam-5197	191	2	∫	∫	PROPN
ejpam-5197	191	3	ζ	ζ	NOUN
ejpam-5197	191	4	0	0	NUM
ejpam-5197	191	5	(	(	PUNCT
ejpam-5197	191	6	ηζ(τ	ηζ(τ	X
ejpam-5197	191	7	,	,	PUNCT
ejpam-5197	191	8	ι)−θ(τ	ι)−θ(τ	PROPN
ejpam-5197	191	9	,	,	PUNCT
ejpam-5197	191	10	ι))dτ	ι))dτ	PROPN
ejpam-5197	192	1	|	|	ADV
ejpam-5197	192	2	≤	≤	NUM
ejpam-5197	192	3	∫	∫	PROPN
ejpam-5197	192	4	ζ	ζ	NOUN
ejpam-5197	192	5	0	0	NUM
ejpam-5197	192	6	|ηζ(τ	|ηζ(τ	NOUN
ejpam-5197	192	7	,	,	PUNCT
ejpam-5197	192	8	ι)−θ(τ	ι)−θ(τ	PROPN
ejpam-5197	192	9	,	,	PUNCT
ejpam-5197	192	10	ι)|dτ	ι)|dτ	VERB
ejpam-5197	192	11	≤	≤	NUM
ejpam-5197	193	1	ξ	ξ	X
ejpam-5197	193	2	2q−	2q−	PROPN
ejpam-5197	193	3	1	1	NUM
ejpam-5197	193	4	ψ	ψ	NOUN
ejpam-5197	193	5	(	(	PUNCT
ejpam-5197	193	6	1	1	NUM
ejpam-5197	193	7	2q−	2q−	NUM
ejpam-5197	193	8	1	1	NUM
ejpam-5197	193	9	)	)	PUNCT
ejpam-5197	193	10	∫	∫	PROPN
ejpam-5197	193	11	ζ	ζ	PROPN
ejpam-5197	193	12	0	0	NUM
ejpam-5197	193	13	dτ	dτ	NOUN
ejpam-5197	193	14	≤	≤	NOUN
ejpam-5197	193	15	ξm	ξm	PRON
ejpam-5197	193	16	2q−	2q−	PROPN
ejpam-5197	193	17	1	1	NUM
ejpam-5197	193	18	ψ	ψ	NOUN
ejpam-5197	193	19	(	(	PUNCT
ejpam-5197	193	20	1	1	NUM
ejpam-5197	193	21	2q−	2q−	NUM
ejpam-5197	193	22	1	1	NUM
ejpam-5197	193	23	)	)	PUNCT
ejpam-5197	193	24	.	.	PUNCT
ejpam-5197	194	1	(	(	PUNCT
ejpam-5197	194	2	27	27	NUM
ejpam-5197	194	3	)	)	PUNCT
ejpam-5197	194	4	now	now	ADV
ejpam-5197	194	5	,	,	PUNCT
ejpam-5197	194	6	according	accord	VERB
ejpam-5197	194	7	to	to	ADP
ejpam-5197	194	8	(	(	PUNCT
ejpam-5197	194	9	25	25	NUM
ejpam-5197	194	10	)	)	PUNCT
ejpam-5197	194	11	,	,	PUNCT
ejpam-5197	194	12	η̄	η̄	NOUN
ejpam-5197	194	13	(	(	PUNCT
ejpam-5197	194	14	.	.	PUNCT
ejpam-5197	194	15	,	,	PUNCT
ejpam-5197	194	16	ι	ι	PROPN
ejpam-5197	194	17	)	)	PUNCT
ejpam-5197	194	18	,	,	PUNCT
ejpam-5197	194	19	ι	ι	PROPN
ejpam-5197	194	20	∈	∈	PROPN
ejpam-5197	195	1	[	[	X
ejpam-5197	195	2	0	0	NUM
ejpam-5197	195	3	,	,	PUNCT
ejpam-5197	195	4	p	p	X
ejpam-5197	195	5	]	]	X
ejpam-5197	195	6	is	be	AUX
ejpam-5197	195	7	a	a	DET
ejpam-5197	195	8	polynomial	polynomial	NOUN
ejpam-5197	195	9	of	of	ADP
ejpam-5197	195	10	degree	degree	NOUN
ejpam-5197	195	11	at	at	ADP
ejpam-5197	195	12	most	most	ADJ
ejpam-5197	195	13	q	q	NOUN
ejpam-5197	195	14	on	on	ADP
ejpam-5197	195	15	[	[	X
ejpam-5197	195	16	0,m	0,m	X
ejpam-5197	195	17	]	]	X
ejpam-5197	195	18	.	.	PUNCT
ejpam-5197	196	1	thus	thus	ADV
ejpam-5197	196	2	,	,	PUNCT
ejpam-5197	196	3	q∑	q∑	PROPN
ejpam-5197	196	4	i=0	i=0	PROPN
ejpam-5197	196	5	η̄qildki	η̄qildki	ADJ
ejpam-5197	196	6	=	=	SYM
ejpam-5197	196	7	η̄ζ(ζk	η̄ζ(ζk	NOUN
ejpam-5197	196	8	,	,	PUNCT
ejpam-5197	196	9	ιl	ιl	NOUN
ejpam-5197	196	10	)	)	PUNCT
ejpam-5197	196	11	;	;	PUNCT
ejpam-5197	196	12	k	k	PROPN
ejpam-5197	196	13	=	=	SYM
ejpam-5197	196	14	1	1	NUM
ejpam-5197	196	15	,	,	PUNCT
ejpam-5197	196	16	·	·	PUNCT
ejpam-5197	196	17	·	·	PUNCT
ejpam-5197	196	18	·	·	PUNCT
ejpam-5197	196	19	,	,	PUNCT
ejpam-5197	196	20	q	q	X
ejpam-5197	196	21	,	,	PUNCT
ejpam-5197	196	22	l	l	NOUN
ejpam-5197	196	23	=	=	SYM
ejpam-5197	196	24	1	1	NUM
ejpam-5197	196	25	,	,	PUNCT
ejpam-5197	196	26	·	·	PUNCT
ejpam-5197	196	27	·	·	PUNCT
ejpam-5197	196	28	·	·	PUNCT
ejpam-5197	196	29	,	,	PUNCT
ejpam-5197	196	30	q.	q.	PROPN
ejpam-5197	196	31	(	(	PUNCT
ejpam-5197	196	32	28	28	NUM
ejpam-5197	196	33	)	)	PUNCT
ejpam-5197	196	34	therefor	therefor	ADV
ejpam-5197	196	35	,	,	PUNCT
ejpam-5197	196	36	with	with	ADP
ejpam-5197	196	37	(	(	PUNCT
ejpam-5197	196	38	26	26	NUM
ejpam-5197	196	39	)	)	PUNCT
ejpam-5197	196	40	,	,	PUNCT
ejpam-5197	196	41	(	(	PUNCT
ejpam-5197	196	42	27	27	NUM
ejpam-5197	196	43	)	)	PUNCT
ejpam-5197	196	44	and	and	CCONJ
ejpam-5197	196	45	(	(	PUNCT
ejpam-5197	196	46	28	28	NUM
ejpam-5197	196	47	)	)	PUNCT
ejpam-5197	196	48	we	we	PRON
ejpam-5197	196	49	have	have	VERB
ejpam-5197	196	50	for	for	ADP
ejpam-5197	196	51	k	k	PROPN
ejpam-5197	196	52	=	=	SYM
ejpam-5197	196	53	1	1	NUM
ejpam-5197	196	54	,	,	PUNCT
ejpam-5197	196	55	·	·	PUNCT
ejpam-5197	196	56	·	·	PUNCT
ejpam-5197	196	57	·	·	PUNCT
ejpam-5197	196	58	,	,	PUNCT
ejpam-5197	196	59	sµ	sµ	NOUN
ejpam-5197	196	60	and	and	CCONJ
ejpam-5197	196	61	l	l	NOUN
ejpam-5197	196	62	=	=	SYM
ejpam-5197	196	63	1	1	NUM
ejpam-5197	196	64	,	,	PUNCT
ejpam-5197	196	65	·	·	PUNCT
ejpam-5197	196	66	·	·	PUNCT
ejpam-5197	196	67	·	·	PUNCT
ejpam-5197	196	68	,	,	PUNCT
ejpam-5197	197	1	q	q	X
ejpam-5197	197	2	,	,	PUNCT
ejpam-5197	197	3	|	|	ADV
ejpam-5197	197	4	q∑	q∑	X
ejpam-5197	197	5	i=0	i=0	PROPN
ejpam-5197	197	6	η̄qildki	η̄qildki	ADJ
ejpam-5197	197	7	−	−	PROPN
ejpam-5197	197	8	z	z	NOUN
ejpam-5197	197	9	(	(	PUNCT
ejpam-5197	197	10	ζk	ζk	PROPN
ejpam-5197	197	11	,	,	PUNCT
ejpam-5197	197	12	ιl	ιl	ADJ
ejpam-5197	197	13	,	,	PUNCT
ejpam-5197	197	14	η̄	η̄	VERB
ejpam-5197	197	15	q	q	PROPN
ejpam-5197	197	16	kl	kl	NOUN
ejpam-5197	197	17	,	,	PUNCT
ejpam-5197	197	18	φ(ζk	φ(ζk	PROPN
ejpam-5197	197	19	−	−	PROPN
ejpam-5197	197	20	µ	µ	NUM
ejpam-5197	197	21	,	,	PUNCT
ejpam-5197	197	22	ιl	ιl	NOUN
ejpam-5197	197	23	)	)	PUNCT
ejpam-5197	197	24	,	,	PUNCT
ejpam-5197	197	25	η̄ιι(ζk	η̄ιι(ζk	PROPN
ejpam-5197	197	26	,	,	PUNCT
ejpam-5197	197	27	ιl	ιl	NOUN
ejpam-5197	197	28	)	)	PUNCT
ejpam-5197	197	29	)	)	PUNCT
ejpam-5197	198	1	|	|	ADV
ejpam-5197	198	2	≤	≤	NUM
ejpam-5197	198	3	|η̄ζ(ζk	|η̄ζ(ζk	NOUN
ejpam-5197	198	4	,	,	PUNCT
ejpam-5197	198	5	ιl)−	ιl)−	PUNCT
ejpam-5197	199	1	ηζ(ζk	ηζ(ζk	PROPN
ejpam-5197	199	2	,	,	PUNCT
ejpam-5197	199	3	ιl)|+	ιl)|+	PROPN
ejpam-5197	200	1	|ηζ(ζk	|ηζ(ζk	PROPN
ejpam-5197	200	2	,	,	PUNCT
ejpam-5197	200	3	ιl)−	ιl)−	PUNCT
ejpam-5197	200	4	z	z	PROPN
ejpam-5197	200	5	(	(	PUNCT
ejpam-5197	200	6	ζk	ζk	PROPN
ejpam-5197	200	7	,	,	PUNCT
ejpam-5197	200	8	ιl	ιl	ADJ
ejpam-5197	200	9	,	,	PUNCT
ejpam-5197	200	10	η̄	η̄	VERB
ejpam-5197	200	11	q	q	PROPN
ejpam-5197	200	12	kl	kl	NOUN
ejpam-5197	200	13	,	,	PUNCT
ejpam-5197	200	14	φ(ζk	φ(ζk	PROPN
ejpam-5197	200	15	−	−	PROPN
ejpam-5197	200	16	µ	µ	NUM
ejpam-5197	200	17	,	,	PUNCT
ejpam-5197	200	18	ιl	ιl	NOUN
ejpam-5197	200	19	)	)	PUNCT
ejpam-5197	200	20	,	,	PUNCT
ejpam-5197	200	21	η̄ιι(ζk	η̄ιι(ζk	PROPN
ejpam-5197	200	22	,	,	PUNCT
ejpam-5197	200	23	ιl	ιl	NOUN
ejpam-5197	200	24	)	)	PUNCT
ejpam-5197	200	25	)	)	PUNCT
ejpam-5197	201	1	|	|	ADV
ejpam-5197	201	2	≤	≤	NUM
ejpam-5197	201	3	|θ(ζk	|θ(ζk	PROPN
ejpam-5197	201	4	,	,	PUNCT
ejpam-5197	201	5	ιl)−ηζ(ζk	ιl)−ηζ(ζk	PROPN
ejpam-5197	201	6	,	,	PUNCT
ejpam-5197	201	7	ιl)|+|z	ιl)|+|z	PROPN
ejpam-5197	201	8	(	(	PUNCT
ejpam-5197	201	9	ζk	ζk	PROPN
ejpam-5197	201	10	,	,	PUNCT
ejpam-5197	201	11	ιl	ιl	ADJ
ejpam-5197	201	12	,	,	PUNCT
ejpam-5197	201	13	η(ζk	η(ζk	PROPN
ejpam-5197	201	14	,	,	PUNCT
ejpam-5197	201	15	ιl	ιl	NOUN
ejpam-5197	201	16	)	)	PUNCT
ejpam-5197	201	17	,	,	PUNCT
ejpam-5197	201	18	φ(ζk−µ	φ(ζk−µ	NOUN
ejpam-5197	201	19	,	,	PUNCT
ejpam-5197	201	20	ιl	ιl	NOUN
ejpam-5197	201	21	)	)	PUNCT
ejpam-5197	201	22	,	,	PUNCT
ejpam-5197	201	23	ηιι(ζk	ηιι(ζk	NOUN
ejpam-5197	201	24	,	,	PUNCT
ejpam-5197	201	25	ιl	ιl	NOUN
ejpam-5197	201	26	)	)	PUNCT
ejpam-5197	201	27	)	)	PUNCT
ejpam-5197	202	1	−z	−z	NOUN
ejpam-5197	202	2	(	(	PUNCT
ejpam-5197	202	3	ζk	ζk	PROPN
ejpam-5197	202	4	,	,	PUNCT
ejpam-5197	202	5	ιl	ιl	ADJ
ejpam-5197	202	6	,	,	PUNCT
ejpam-5197	202	7	η̄	η̄	VERB
ejpam-5197	202	8	q	q	PROPN
ejpam-5197	202	9	kl	kl	NOUN
ejpam-5197	202	10	,	,	PUNCT
ejpam-5197	202	11	φ(ζk−µ	φ(ζk−µ	NUM
ejpam-5197	202	12	,	,	PUNCT
ejpam-5197	202	13	ιl	ιl	NOUN
ejpam-5197	202	14	)	)	PUNCT
ejpam-5197	202	15	,	,	PUNCT
ejpam-5197	202	16	η̄ιι(ζk	η̄ιι(ζk	PROPN
ejpam-5197	202	17	,	,	PUNCT
ejpam-5197	202	18	ιl	ιl	NOUN
ejpam-5197	202	19	)	)	PUNCT
ejpam-5197	202	20	)	)	PUNCT
ejpam-5197	203	1	|	|	ADV
ejpam-5197	203	2	≤	≤	X
ejpam-5197	203	3	ξ	ξ	X
ejpam-5197	203	4	2q−	2q−	NUM
ejpam-5197	203	5	1	1	NUM
ejpam-5197	203	6	ψ	ψ	NOUN
ejpam-5197	203	7	(	(	PUNCT
ejpam-5197	203	8	1	1	NUM
ejpam-5197	203	9	2q−	2q−	NUM
ejpam-5197	203	10	1	1	NUM
ejpam-5197	203	11	)	)	PUNCT
ejpam-5197	204	1	+	+	NUM
ejpam-5197	204	2	l	l	NOUN
ejpam-5197	204	3	(	(	PUNCT
ejpam-5197	204	4	|η(ζk	|η(ζk	PROPN
ejpam-5197	204	5	,	,	PUNCT
ejpam-5197	204	6	ιl)−	ιl)−	X
ejpam-5197	204	7	η̄qkl|+	η̄qkl|+	PROPN
ejpam-5197	204	8	|φ(ζk	|φ(ζk	PROPN
ejpam-5197	204	9	−	−	PROPN
ejpam-5197	204	10	µ	µ	NUM
ejpam-5197	204	11	,	,	PUNCT
ejpam-5197	204	12	ιl)−	ιl)−	PUNCT
ejpam-5197	205	1	φ(ζk	φ(ζk	PROPN
ejpam-5197	205	2	−	−	PROPN
ejpam-5197	205	3	µ	µ	NUM
ejpam-5197	205	4	,	,	PUNCT
ejpam-5197	205	5	ιl)|	ιl)|	PUNCT
ejpam-5197	205	6	)	)	PUNCT
ejpam-5197	205	7	≤	≤	NOUN
ejpam-5197	206	1	ξ	ξ	X
ejpam-5197	206	2	2q−	2q−	NUM
ejpam-5197	206	3	1	1	NUM
ejpam-5197	206	4	ψ	ψ	NOUN
ejpam-5197	206	5	(	(	PUNCT
ejpam-5197	206	6	1	1	NUM
ejpam-5197	206	7	2q−	2q−	NUM
ejpam-5197	206	8	1	1	NUM
ejpam-5197	206	9	)	)	PUNCT
ejpam-5197	207	1	+	+	CCONJ
ejpam-5197	207	2	l	l	X
ejpam-5197	207	3	(	(	PUNCT
ejpam-5197	207	4	ξm	ξm	PROPN
ejpam-5197	207	5	2q−	2q−	PROPN
ejpam-5197	207	6	1	1	NUM
ejpam-5197	207	7	)	)	PUNCT
ejpam-5197	207	8	ψ	ψ	NOUN
ejpam-5197	207	9	(	(	PUNCT
ejpam-5197	207	10	1	1	NUM
ejpam-5197	207	11	2q−	2q−	NUM
ejpam-5197	207	12	1	1	NUM
ejpam-5197	207	13	)	)	PUNCT
ejpam-5197	207	14	=	=	PUNCT
ejpam-5197	208	1	ξ(1	ξ(1	PROPN
ejpam-5197	208	2	+	+	NOUN
ejpam-5197	208	3	mp	mp	PROPN
ejpam-5197	208	4	)	)	PUNCT
ejpam-5197	208	5	1	1	NUM
ejpam-5197	209	1	2q−	2q−	NUM
ejpam-5197	209	2	1	1	NUM
ejpam-5197	209	3	ψ	ψ	NOUN
ejpam-5197	209	4	(	(	PUNCT
ejpam-5197	209	5	1	1	NUM
ejpam-5197	209	6	2q−	2q−	NUM
ejpam-5197	209	7	1	1	NUM
ejpam-5197	209	8	)	)	PUNCT
ejpam-5197	209	9	.	.	PUNCT
ejpam-5197	210	1	(	(	PUNCT
ejpam-5197	210	2	29	29	NUM
ejpam-5197	210	3	)	)	PUNCT
ejpam-5197	210	4	here	here	ADV
ejpam-5197	210	5	,	,	PUNCT
ejpam-5197	210	6	the	the	DET
ejpam-5197	210	7	function	function	NOUN
ejpam-5197	210	8	z	z	PROPN
ejpam-5197	210	9	has	have	VERB
ejpam-5197	210	10	l	l	PROPN
ejpam-5197	210	11	>	>	X
ejpam-5197	210	12	0	0	PUNCT
ejpam-5197	211	1	as	as	SCONJ
ejpam-5197	211	2	the	the	DET
ejpam-5197	211	3	lipschitz	lipschitz	NOUN
ejpam-5197	211	4	constant	constant	ADJ
ejpam-5197	211	5	with	with	ADP
ejpam-5197	211	6	respect	respect	NOUN
ejpam-5197	211	7	to	to	ADP
ejpam-5197	211	8	its	its	PRON
ejpam-5197	211	9	third	third	ADJ
ejpam-5197	211	10	and	and	CCONJ
ejpam-5197	211	11	fourth	fourth	ADJ
ejpam-5197	211	12	components	component	NOUN
ejpam-5197	211	13	.	.	PUNCT
ejpam-5197	212	1	and	and	CCONJ
ejpam-5197	212	2	,	,	PUNCT
ejpam-5197	212	3	for	for	ADP
ejpam-5197	212	4	k	k	PROPN
ejpam-5197	212	5	=	=	PUNCT
ejpam-5197	212	6	sµ	sµ	PROPN
ejpam-5197	212	7	+	+	CCONJ
ejpam-5197	212	8	1	1	NUM
ejpam-5197	212	9	,	,	PUNCT
ejpam-5197	212	10	·	·	PUNCT
ejpam-5197	212	11	·	·	PUNCT
ejpam-5197	212	12	·	·	PUNCT
ejpam-5197	212	13	,	,	PUNCT
ejpam-5197	212	14	q−	q−	PROPN
ejpam-5197	212	15	1	1	NUM
ejpam-5197	212	16	and	and	CCONJ
ejpam-5197	212	17	l	l	NOUN
ejpam-5197	212	18	=	=	SYM
ejpam-5197	212	19	1	1	NUM
ejpam-5197	212	20	,	,	PUNCT
ejpam-5197	212	21	·	·	PUNCT
ejpam-5197	212	22	·	·	PUNCT
ejpam-5197	212	23	·	·	PUNCT
ejpam-5197	212	24	,	,	PUNCT
ejpam-5197	212	25	q−	q−	PROPN
ejpam-5197	212	26	1	1	NUM
ejpam-5197	212	27	,	,	PUNCT
ejpam-5197	212	28	|	|	ADV
ejpam-5197	212	29	q∑	q∑	X
ejpam-5197	212	30	i=0	i=0	PROPN
ejpam-5197	212	31	η̄qildki	η̄qildki	ADJ
ejpam-5197	212	32	−	−	PROPN
ejpam-5197	212	33	z	z	NOUN
ejpam-5197	212	34	(	(	PUNCT
ejpam-5197	212	35	ζk	ζk	PROPN
ejpam-5197	212	36	,	,	PUNCT
ejpam-5197	212	37	ιl	ιl	ADJ
ejpam-5197	212	38	,	,	PUNCT
ejpam-5197	212	39	η̄	η̄	VERB
ejpam-5197	212	40	q	q	PROPN
ejpam-5197	212	41	kl	kl	PROPN
ejpam-5197	212	42	,	,	PUNCT
ejpam-5197	212	43	η̄(ζk	η̄(ζk	VERB
ejpam-5197	212	44	−	−	PROPN
ejpam-5197	212	45	µ	µ	NUM
ejpam-5197	212	46	,	,	PUNCT
ejpam-5197	212	47	ιl	ιl	NOUN
ejpam-5197	212	48	)	)	PUNCT
ejpam-5197	212	49	,	,	PUNCT
ejpam-5197	212	50	η̄ιι(ζk	η̄ιι(ζk	PROPN
ejpam-5197	212	51	,	,	PUNCT
ejpam-5197	212	52	ιl	ιl	NOUN
ejpam-5197	212	53	)	)	PUNCT
ejpam-5197	212	54	)	)	PUNCT
ejpam-5197	213	1	|	|	ADV
ejpam-5197	213	2	≤	≤	NUM
ejpam-5197	213	3	|η̄ζ(ζk	|η̄ζ(ζk	NOUN
ejpam-5197	213	4	,	,	PUNCT
ejpam-5197	213	5	ιl)−	ιl)−	PUNCT
ejpam-5197	214	1	ηζ(ζk	ηζ(ζk	PROPN
ejpam-5197	214	2	,	,	PUNCT
ejpam-5197	214	3	ιl)|+	ιl)|+	PROPN
ejpam-5197	215	1	|ηζ(ζk	|ηζ(ζk	PROPN
ejpam-5197	215	2	,	,	PUNCT
ejpam-5197	215	3	ιl)−	ιl)−	PUNCT
ejpam-5197	215	4	z	z	PROPN
ejpam-5197	215	5	(	(	PUNCT
ejpam-5197	215	6	ζk	ζk	PROPN
ejpam-5197	215	7	,	,	PUNCT
ejpam-5197	215	8	ιl	ιl	ADJ
ejpam-5197	215	9	,	,	PUNCT
ejpam-5197	215	10	η̄	η̄	VERB
ejpam-5197	215	11	q	q	PROPN
ejpam-5197	215	12	kl	kl	PROPN
ejpam-5197	215	13	,	,	PUNCT
ejpam-5197	215	14	η̄(ζk	η̄(ζk	VERB
ejpam-5197	215	15	−	−	PROPN
ejpam-5197	215	16	µ	µ	NUM
ejpam-5197	215	17	,	,	PUNCT
ejpam-5197	215	18	ιl	ιl	NOUN
ejpam-5197	215	19	)	)	PUNCT
ejpam-5197	215	20	,	,	PUNCT
ejpam-5197	215	21	η̄ιι(ζk	η̄ιι(ζk	PROPN
ejpam-5197	215	22	,	,	PUNCT
ejpam-5197	215	23	ιl	ιl	NOUN
ejpam-5197	215	24	)	)	PUNCT
ejpam-5197	215	25	)	)	PUNCT
ejpam-5197	216	1	|	|	ADV
ejpam-5197	216	2	≤	≤	NUM
ejpam-5197	216	3	|θ(ζk	|θ(ζk	PROPN
ejpam-5197	216	4	,	,	PUNCT
ejpam-5197	216	5	ιl)−ηζ(ζk	ιl)−ηζ(ζk	PROPN
ejpam-5197	216	6	,	,	PUNCT
ejpam-5197	216	7	ιl)|+|z	ιl)|+|z	PROPN
ejpam-5197	216	8	(	(	PUNCT
ejpam-5197	216	9	ζk	ζk	PROPN
ejpam-5197	216	10	,	,	PUNCT
ejpam-5197	216	11	ιl	ιl	ADJ
ejpam-5197	216	12	,	,	PUNCT
ejpam-5197	216	13	η(ζk	η(ζk	PROPN
ejpam-5197	216	14	,	,	PUNCT
ejpam-5197	216	15	ιl	ιl	NOUN
ejpam-5197	216	16	)	)	PUNCT
ejpam-5197	216	17	,	,	PUNCT
ejpam-5197	216	18	η(ζk−µ	η(ζk−µ	NOUN
ejpam-5197	216	19	,	,	PUNCT
ejpam-5197	216	20	ιl	ιl	NOUN
ejpam-5197	216	21	)	)	PUNCT
ejpam-5197	216	22	,	,	PUNCT
ejpam-5197	216	23	ηιι(ζk	ηιι(ζk	NOUN
ejpam-5197	216	24	,	,	PUNCT
ejpam-5197	216	25	ιl	ιl	NOUN
ejpam-5197	216	26	)	)	PUNCT
ejpam-5197	216	27	)	)	PUNCT
ejpam-5197	217	1	−z	−z	NOUN
ejpam-5197	217	2	(	(	PUNCT
ejpam-5197	217	3	ζk	ζk	PROPN
ejpam-5197	217	4	,	,	PUNCT
ejpam-5197	217	5	ιl	ιl	ADJ
ejpam-5197	217	6	,	,	PUNCT
ejpam-5197	217	7	η̄	η̄	VERB
ejpam-5197	217	8	q	q	PROPN
ejpam-5197	217	9	kl	kl	X
ejpam-5197	217	10	,	,	PUNCT
ejpam-5197	217	11	η̄(ζk−µ	η̄(ζk−µ	PROPN
ejpam-5197	217	12	,	,	PUNCT
ejpam-5197	217	13	ιl	ιl	NOUN
ejpam-5197	217	14	)	)	PUNCT
ejpam-5197	217	15	,	,	PUNCT
ejpam-5197	217	16	η̄ιι(ζk	η̄ιι(ζk	PROPN
ejpam-5197	217	17	,	,	PUNCT
ejpam-5197	217	18	ιl	ιl	NOUN
ejpam-5197	217	19	)	)	PUNCT
ejpam-5197	217	20	)	)	PUNCT
ejpam-5197	218	1	|	|	ADV
ejpam-5197	218	2	≤	≤	X
ejpam-5197	218	3	ξ	ξ	X
ejpam-5197	218	4	2q−	2q−	NUM
ejpam-5197	218	5	1	1	NUM
ejpam-5197	218	6	ψ	ψ	NOUN
ejpam-5197	218	7	(	(	PUNCT
ejpam-5197	218	8	1	1	NUM
ejpam-5197	218	9	2q−	2q−	NUM
ejpam-5197	218	10	1	1	NUM
ejpam-5197	218	11	)	)	PUNCT
ejpam-5197	219	1	+	+	NUM
ejpam-5197	219	2	l	l	NOUN
ejpam-5197	219	3	(	(	PUNCT
ejpam-5197	219	4	|η(ζk	|η(ζk	PROPN
ejpam-5197	219	5	,	,	PUNCT
ejpam-5197	219	6	ιl)−	ιl)−	PUNCT
ejpam-5197	219	7	η̄qkl|+	η̄qkl|+	PROPN
ejpam-5197	219	8	|η(ζk	|η(ζk	PROPN
ejpam-5197	219	9	−	−	PROPN
ejpam-5197	219	10	µ	µ	NUM
ejpam-5197	219	11	,	,	PUNCT
ejpam-5197	219	12	ιl)−	ιl)−	PUNCT
ejpam-5197	219	13	η̄(ζk	η̄(ζk	ADP
ejpam-5197	219	14	−	−	PROPN
ejpam-5197	219	15	µ	µ	NUM
ejpam-5197	219	16	,	,	PUNCT
ejpam-5197	219	17	ιl)|	ιl)|	PUNCT
ejpam-5197	219	18	)	)	PUNCT
ejpam-5197	219	19	m.	m.	NOUN
ejpam-5197	219	20	ghovatmand	ghovatmand	NOUN
ejpam-5197	219	21	et	et	PROPN
ejpam-5197	219	22	al	al	PROPN
ejpam-5197	219	23	.	.	PUNCT
ejpam-5197	219	24	/	/	SYM
ejpam-5197	219	25	eur	eur	PROPN
ejpam-5197	219	26	.	.	PUNCT
ejpam-5197	220	1	j.	j.	PROPN
ejpam-5197	220	2	pure	pure	PROPN
ejpam-5197	220	3	appl	appl	PROPN
ejpam-5197	220	4	.	.	PROPN
ejpam-5197	220	5	math	math	PROPN
ejpam-5197	220	6	,	,	PUNCT
ejpam-5197	220	7	17	17	NUM
ejpam-5197	220	8	(	(	PUNCT
ejpam-5197	220	9	3	3	NUM
ejpam-5197	220	10	)	)	PUNCT
ejpam-5197	220	11	(	(	PUNCT
ejpam-5197	220	12	2024	2024	NUM
ejpam-5197	220	13	)	)	PUNCT
ejpam-5197	220	14	,	,	PUNCT
ejpam-5197	220	15	1565	1565	NUM
ejpam-5197	220	16	-	-	SYM
ejpam-5197	220	17	1584	1584	NUM
ejpam-5197	220	18	1573	1573	NUM
ejpam-5197	220	19	≤	≤	NOUN
ejpam-5197	220	20	ξ	ξ	X
ejpam-5197	220	21	2q−	2q−	PROPN
ejpam-5197	220	22	1	1	NUM
ejpam-5197	220	23	ψ	ψ	NOUN
ejpam-5197	220	24	(	(	PUNCT
ejpam-5197	220	25	1	1	NUM
ejpam-5197	220	26	2q−	2q−	NUM
ejpam-5197	220	27	1	1	NUM
ejpam-5197	220	28	)	)	PUNCT
ejpam-5197	221	1	+	+	CCONJ
ejpam-5197	221	2	l	l	NOUN
ejpam-5197	221	3	(	(	PUNCT
ejpam-5197	221	4	2ξm	2ξm	ADJ
ejpam-5197	221	5	2q−	2q−	PROPN
ejpam-5197	221	6	1	1	NUM
ejpam-5197	221	7	)	)	PUNCT
ejpam-5197	221	8	ψ	ψ	NOUN
ejpam-5197	221	9	(	(	PUNCT
ejpam-5197	221	10	1	1	NUM
ejpam-5197	221	11	2q−	2q−	NUM
ejpam-5197	221	12	1	1	NUM
ejpam-5197	221	13	)	)	PUNCT
ejpam-5197	222	1	=	=	SYM
ejpam-5197	223	1	ξ(1	ξ(1	PROPN
ejpam-5197	223	2	+	+	PUNCT
ejpam-5197	223	3	2mp	2mp	ADJ
ejpam-5197	223	4	)	)	PUNCT
ejpam-5197	223	5	1	1	NUM
ejpam-5197	223	6	2q−	2q−	NUM
ejpam-5197	223	7	1	1	NUM
ejpam-5197	223	8	ψ	ψ	NOUN
ejpam-5197	223	9	(	(	PUNCT
ejpam-5197	223	10	1	1	NUM
ejpam-5197	223	11	2q−	2q−	NUM
ejpam-5197	223	12	1	1	NUM
ejpam-5197	223	13	)	)	PUNCT
ejpam-5197	223	14	.	.	PUNCT
ejpam-5197	224	1	(	(	PUNCT
ejpam-5197	224	2	30	30	NUM
ejpam-5197	224	3	)	)	PUNCT
ejpam-5197	224	4	moreover	moreover	ADV
ejpam-5197	224	5	,	,	PUNCT
ejpam-5197	224	6	for	for	ADP
ejpam-5197	224	7	k	k	PROPN
ejpam-5197	224	8	=	=	SYM
ejpam-5197	224	9	0	0	NUM
ejpam-5197	224	10	,	,	PUNCT
ejpam-5197	224	11	1	1	NUM
ejpam-5197	224	12	,	,	PUNCT
ejpam-5197	224	13	·	·	PUNCT
ejpam-5197	224	14	·	·	PUNCT
ejpam-5197	224	15	·	·	PUNCT
ejpam-5197	224	16	,	,	PUNCT
ejpam-5197	224	17	q	q	PUNCT
ejpam-5197	224	18	we	we	PRON
ejpam-5197	224	19	have	have	VERB
ejpam-5197	224	20	|η̄qk0	|η̄qk0	X
ejpam-5197	224	21	−	−	PROPN
ejpam-5197	224	22	g1(ζk)|	g1(ζk)|	PROPN
ejpam-5197	224	23	≤	≤	PROPN
ejpam-5197	224	24	|η̄qk0	|η̄qk0	NUM
ejpam-5197	224	25	−	−	PROPN
ejpam-5197	224	26	u(ζk	u(ζk	PROPN
ejpam-5197	224	27	,	,	PUNCT
ejpam-5197	224	28	0)|+	0)|+	PUNCT
ejpam-5197	225	1	|η(ζk	|η(ζk	PROPN
ejpam-5197	225	2	,	,	PUNCT
ejpam-5197	225	3	0)−	0)−	NUM
ejpam-5197	225	4	g1(ζk)|	g1(ζk)|	PROPN
ejpam-5197	225	5	≤	≤	NUM
ejpam-5197	225	6	mξ	mξ	NOUN
ejpam-5197	225	7	2q−	2q−	PROPN
ejpam-5197	225	8	1	1	NUM
ejpam-5197	225	9	ψ	ψ	NOUN
ejpam-5197	225	10	(	(	PUNCT
ejpam-5197	225	11	1	1	NUM
ejpam-5197	225	12	2q−	2q−	NUM
ejpam-5197	225	13	1	1	NUM
ejpam-5197	225	14	)	)	PUNCT
ejpam-5197	225	15	,	,	PUNCT
ejpam-5197	225	16	(	(	PUNCT
ejpam-5197	225	17	31	31	NUM
ejpam-5197	225	18	)	)	PUNCT
ejpam-5197	225	19	and	and	CCONJ
ejpam-5197	225	20	|η̄kp	|η̄kp	ADP
ejpam-5197	225	21	−	−	PROPN
ejpam-5197	225	22	g2(ζk)|	g2(ζk)|	PROPN
ejpam-5197	225	23	≤	≤	NOUN
ejpam-5197	225	24	|η̄qkp	|η̄qkp	NOUN
ejpam-5197	226	1	−	−	PROPN
ejpam-5197	226	2	η(ζk	η(ζk	PROPN
ejpam-5197	226	3	,	,	PUNCT
ejpam-5197	226	4	p	p	NOUN
ejpam-5197	226	5	)	)	PUNCT
ejpam-5197	226	6	|+	|+	NOUN
ejpam-5197	227	1	|η(ζk	|η(ζk	PROPN
ejpam-5197	227	2	,	,	PUNCT
ejpam-5197	227	3	p	p	NOUN
ejpam-5197	227	4	)	)	PUNCT
ejpam-5197	227	5	−	−	PROPN
ejpam-5197	227	6	g2(ζk)|	g2(ζk)|	PROPN
ejpam-5197	227	7	≤	≤	NUM
ejpam-5197	227	8	mξ	mξ	NOUN
ejpam-5197	227	9	2q−	2q−	PROPN
ejpam-5197	227	10	1	1	NUM
ejpam-5197	227	11	ψ	ψ	NOUN
ejpam-5197	227	12	(	(	PUNCT
ejpam-5197	227	13	1	1	NUM
ejpam-5197	227	14	2q−	2q−	NUM
ejpam-5197	227	15	1	1	NUM
ejpam-5197	227	16	)	)	PUNCT
ejpam-5197	227	17	.	.	PUNCT
ejpam-5197	228	1	(	(	PUNCT
ejpam-5197	228	2	32	32	NUM
ejpam-5197	228	3	)	)	PUNCT
ejpam-5197	228	4	further	far	ADV
ejpam-5197	228	5	,	,	PUNCT
ejpam-5197	228	6	for	for	ADP
ejpam-5197	228	7	l	l	NOUN
ejpam-5197	228	8	=	=	SYM
ejpam-5197	228	9	1	1	NUM
ejpam-5197	228	10	,	,	PUNCT
ejpam-5197	228	11	·	·	PUNCT
ejpam-5197	228	12	·	·	PUNCT
ejpam-5197	228	13	·	·	PUNCT
ejpam-5197	228	14	,	,	PUNCT
ejpam-5197	228	15	q−	q−	PROPN
ejpam-5197	228	16	1	1	NUM
ejpam-5197	228	17	|η̄0l	|η̄0l	ADV
ejpam-5197	228	18	−	−	PROPN
ejpam-5197	228	19	φ(0	φ(0	ADJ
ejpam-5197	228	20	,	,	PUNCT
ejpam-5197	228	21	ιl)|	ιl)|	ADP
ejpam-5197	228	22	≤	≤	NUM
ejpam-5197	229	1	|η̄q0l	|η̄q0l	NOUN
ejpam-5197	230	1	−	−	PROPN
ejpam-5197	230	2	η(0	η(0	PROPN
ejpam-5197	230	3	,	,	PUNCT
ejpam-5197	230	4	ιl)|+	ιl)|+	PROPN
ejpam-5197	230	5	|η(0	|η(0	NOUN
ejpam-5197	230	6	,	,	PUNCT
ejpam-5197	230	7	ιl)−	ιl)−	PUNCT
ejpam-5197	231	1	φ(0	φ(0	ADJ
ejpam-5197	231	2	,	,	PUNCT
ejpam-5197	231	3	ιl)|	ιl)|	PUNCT
ejpam-5197	231	4	≤	≤	NUM
ejpam-5197	231	5	mξ	mξ	NOUN
ejpam-5197	231	6	2q−	2q−	PROPN
ejpam-5197	231	7	1	1	NUM
ejpam-5197	231	8	ψ	ψ	NOUN
ejpam-5197	231	9	(	(	PUNCT
ejpam-5197	231	10	1	1	NUM
ejpam-5197	231	11	2q−	2q−	NUM
ejpam-5197	231	12	1	1	NUM
ejpam-5197	231	13	)	)	PUNCT
ejpam-5197	231	14	.	.	PUNCT
ejpam-5197	232	1	(	(	PUNCT
ejpam-5197	232	2	33	33	NUM
ejpam-5197	232	3	)	)	PUNCT
ejpam-5197	232	4	if	if	SCONJ
ejpam-5197	232	5	we	we	PRON
ejpam-5197	232	6	select	select	VERB
ejpam-5197	232	7	q1	q1	PROPN
ejpam-5197	232	8	∈	∈	PROPN
ejpam-5197	232	9	n	n	CCONJ
ejpam-5197	232	10	as	as	ADP
ejpam-5197	232	11	for	for	ADP
ejpam-5197	232	12	all	all	DET
ejpam-5197	232	13	q	q	PRON
ejpam-5197	232	14	≥	≥	NUM
ejpam-5197	232	15	q1	q1	PROPN
ejpam-5197	232	16	,	,	PUNCT
ejpam-5197	232	17	max{mξ	max{mξ	ADP
ejpam-5197	232	18	,	,	PUNCT
ejpam-5197	232	19	ξ(1	ξ(1	PROPN
ejpam-5197	232	20	+	+	NUM
ejpam-5197	232	21	2mp	2mp	ADJ
ejpam-5197	232	22	)	)	PUNCT
ejpam-5197	232	23	}	}	PUNCT
ejpam-5197	232	24	≤	≤	NOUN
ejpam-5197	232	25	√	√	PUNCT
ejpam-5197	233	1	q	q	NOUN
ejpam-5197	233	2	,	,	PUNCT
ejpam-5197	233	3	then	then	ADV
ejpam-5197	233	4	η̄q	η̄q	PROPN
ejpam-5197	233	5	=	=	PUNCT
ejpam-5197	233	6	(	(	PUNCT
ejpam-5197	233	7	η̄qkl	η̄qkl	ADV
ejpam-5197	233	8	;	;	PUNCT
ejpam-5197	233	9	k	k	X
ejpam-5197	233	10	,	,	PUNCT
ejpam-5197	233	11	l	l	NOUN
ejpam-5197	233	12	=	=	SYM
ejpam-5197	233	13	0	0	NUM
ejpam-5197	233	14	,	,	PUNCT
ejpam-5197	233	15	1	1	NUM
ejpam-5197	233	16	,	,	PUNCT
ejpam-5197	233	17	·	·	PUNCT
ejpam-5197	233	18	·	·	PUNCT
ejpam-5197	233	19	·	·	PUNCT
ejpam-5197	233	20	,	,	PUNCT
ejpam-5197	233	21	q	q	NOUN
ejpam-5197	233	22	,	,	PUNCT
ejpam-5197	233	23	)	)	PUNCT
ejpam-5197	233	24	for	for	ADP
ejpam-5197	233	25	q	q	PROPN
ejpam-5197	233	26	≥	≥	PROPN
ejpam-5197	233	27	q1	q1	PROPN
ejpam-5197	233	28	satisfies	satisfie	NOUN
ejpam-5197	233	29	system	system	NOUN
ejpam-5197	233	30	(	(	PUNCT
ejpam-5197	233	31	22	22	NUM
ejpam-5197	233	32	)	)	PUNCT
ejpam-5197	233	33	by	by	ADP
ejpam-5197	233	34	using	use	VERB
ejpam-5197	233	35	(	(	PUNCT
ejpam-5197	233	36	29)-(33	29)-(33	NUM
ejpam-5197	233	37	)	)	PUNCT
ejpam-5197	233	38	.	.	PUNCT
ejpam-5197	234	1	in	in	ADP
ejpam-5197	234	2	next	next	ADJ
ejpam-5197	234	3	theorem	theorem	NOUN
ejpam-5197	234	4	,	,	PUNCT
ejpam-5197	234	5	we	we	PRON
ejpam-5197	234	6	show	show	VERB
ejpam-5197	234	7	convergence	convergence	NOUN
ejpam-5197	234	8	theorem	theorem	NOUN
ejpam-5197	234	9	of	of	ADP
ejpam-5197	234	10	solutions	solution	NOUN
ejpam-5197	234	11	.	.	PUNCT
ejpam-5197	235	1	theorem	theorem	NOUN
ejpam-5197	235	2	2	2	NUM
ejpam-5197	235	3	.	.	PUNCT
ejpam-5197	236	1	let	let	VERB
ejpam-5197	236	2	{	{	PUNCT
ejpam-5197	236	3	η̄qkl	η̄qkl	ADV
ejpam-5197	236	4	;	;	PUNCT
ejpam-5197	236	5	k	k	X
ejpam-5197	236	6	,	,	PUNCT
ejpam-5197	236	7	l	l	NOUN
ejpam-5197	236	8	=	=	SYM
ejpam-5197	236	9	0	0	NUM
ejpam-5197	236	10	,	,	PUNCT
ejpam-5197	236	11	1	1	NUM
ejpam-5197	236	12	,	,	PUNCT
ejpam-5197	236	13	·	·	PUNCT
ejpam-5197	236	14	·	·	PUNCT
ejpam-5197	236	15	·	·	PUNCT
ejpam-5197	236	16	,	,	PUNCT
ejpam-5197	236	17	q	q	NOUN
ejpam-5197	236	18	}	}	PUNCT
ejpam-5197	236	19	∞	∞	PROPN
ejpam-5197	236	20	q	q	NOUN
ejpam-5197	236	21	=	=	X
ejpam-5197	236	22	q1	q1	PROPN
ejpam-5197	236	23	be	be	VERB
ejpam-5197	236	24	the	the	DET
ejpam-5197	236	25	sequence	sequence	NOUN
ejpam-5197	236	26	of	of	ADP
ejpam-5197	236	27	solutions	solution	NOUN
ejpam-5197	236	28	of	of	ADP
ejpam-5197	236	29	system	system	NOUN
ejpam-5197	236	30	(	(	PUNCT
ejpam-5197	236	31	22	22	NUM
ejpam-5197	236	32	)	)	PUNCT
ejpam-5197	236	33	and	and	CCONJ
ejpam-5197	236	34	{	{	PUNCT
ejpam-5197	236	35	ηq	ηq	PROPN
ejpam-5197	236	36	(	(	PUNCT
ejpam-5197	236	37	.	.	PUNCT
ejpam-5197	236	38	,	,	PUNCT
ejpam-5197	236	39	.	.	PUNCT
ejpam-5197	236	40	)	)	PUNCT
ejpam-5197	237	1	}	}	PUNCT
ejpam-5197	237	2	∞	∞	NUM
ejpam-5197	237	3	q	q	X
ejpam-5197	237	4	=	=	X
ejpam-5197	237	5	q1	q1	PROPN
ejpam-5197	237	6	be	be	VERB
ejpam-5197	237	7	the	the	DET
ejpam-5197	237	8	sequence	sequence	NOUN
ejpam-5197	237	9	of	of	ADP
ejpam-5197	237	10	polynomials	polynomial	NOUN
ejpam-5197	237	11	presented	present	VERB
ejpam-5197	237	12	in	in	ADP
ejpam-5197	237	13	(	(	PUNCT
ejpam-5197	237	14	5	5	NUM
ejpam-5197	237	15	)	)	PUNCT
ejpam-5197	237	16	.	.	PUNCT
ejpam-5197	238	1	consider	consider	VERB
ejpam-5197	238	2	for	for	ADP
ejpam-5197	238	3	any	any	DET
ejpam-5197	238	4	ι	ι	PRON
ejpam-5197	238	5	∈	∈	PROPN
ejpam-5197	239	1	[	[	X
ejpam-5197	239	2	0	0	NUM
ejpam-5197	239	3	,	,	PUNCT
ejpam-5197	239	4	p	p	X
ejpam-5197	239	5	]	]	X
ejpam-5197	239	6	the	the	DET
ejpam-5197	239	7	sequence	sequence	NOUN
ejpam-5197	239	8	{	{	PUNCT
ejpam-5197	239	9	(	(	PUNCT
ejpam-5197	239	10	ηq(0	ηq(0	PROPN
ejpam-5197	239	11	,	,	PUNCT
ejpam-5197	239	12	ι	ι	PROPN
ejpam-5197	239	13	)	)	PUNCT
ejpam-5197	239	14	,	,	PUNCT
ejpam-5197	239	15	ηqζ	ηqζ	NOUN
ejpam-5197	239	16	(	(	PUNCT
ejpam-5197	239	17	.	.	PUNCT
ejpam-5197	239	18	,	,	PUNCT
ejpam-5197	239	19	.	.	PUNCT
ejpam-5197	239	20	)	)	PUNCT
ejpam-5197	239	21	)	)	PUNCT
ejpam-5197	240	1	}	}	PUNCT
ejpam-5197	240	2	∞	∞	NUM
ejpam-5197	240	3	q	q	X
ejpam-5197	240	4	=	=	NOUN
ejpam-5197	240	5	q1	q1	PROPN
ejpam-5197	240	6	has	have	VERB
ejpam-5197	240	7	a	a	DET
ejpam-5197	240	8	subsequence	subsequence	NOUN
ejpam-5197	240	9	{	{	PUNCT
ejpam-5197	240	10	(	(	PUNCT
ejpam-5197	240	11	ηqi(0	ηqi(0	PROPN
ejpam-5197	240	12	,	,	PUNCT
ejpam-5197	240	13	ι	ι	PROPN
ejpam-5197	240	14	)	)	PUNCT
ejpam-5197	240	15	,	,	PUNCT
ejpam-5197	240	16	ηqi	ηqi	VERB
ejpam-5197	240	17	ζ	ζ	NOUN
ejpam-5197	240	18	(	(	PUNCT
ejpam-5197	240	19	.	.	PUNCT
ejpam-5197	240	20	,	,	PUNCT
ejpam-5197	240	21	.	.	PUNCT
ejpam-5197	240	22	)	)	PUNCT
ejpam-5197	240	23	)	)	PUNCT
ejpam-5197	241	1	}	}	PUNCT
ejpam-5197	241	2	∞	∞	PROPN
ejpam-5197	241	3	i=1	i=1	PROPN
ejpam-5197	241	4	that	that	PRON
ejpam-5197	241	5	converges	converge	VERB
ejpam-5197	241	6	to	to	ADP
ejpam-5197	241	7	{	{	PUNCT
ejpam-5197	241	8	χ∞(ι	χ∞(ι	PROPN
ejpam-5197	241	9	)	)	PUNCT
ejpam-5197	241	10	,	,	PUNCT
ejpam-5197	241	11	q	q	PROPN
ejpam-5197	241	12	(	(	PUNCT
ejpam-5197	241	13	.	.	PUNCT
ejpam-5197	241	14	,	,	PUNCT
ejpam-5197	241	15	.	.	PUNCT
ejpam-5197	241	16	)	)	PUNCT
ejpam-5197	242	1	}	}	PUNCT
ejpam-5197	242	2	uniformly	uniformly	ADV
ejpam-5197	242	3	,	,	PUNCT
ejpam-5197	242	4	where	where	SCONJ
ejpam-5197	242	5	q	q	X
ejpam-5197	242	6	(	(	PUNCT
ejpam-5197	242	7	.	.	PUNCT
ejpam-5197	242	8	,	,	PUNCT
ejpam-5197	242	9	.	.	PUNCT
ejpam-5197	242	10	)	)	PUNCT
ejpam-5197	242	11	∈	∈	PROPN
ejpam-5197	242	12	c2(γ̃	c2(γ̃	PROPN
ejpam-5197	242	13	)	)	PUNCT
ejpam-5197	242	14	,	,	PUNCT
ejpam-5197	242	15	χ∞	χ∞	PROPN
ejpam-5197	242	16	(	(	PUNCT
ejpam-5197	242	17	.	.	PUNCT
ejpam-5197	242	18	)	)	PUNCT
ejpam-5197	243	1	∈	∈	PROPN
ejpam-5197	243	2	c2([0	c2([0	PROPN
ejpam-5197	243	3	,	,	PUNCT
ejpam-5197	243	4	p	p	X
ejpam-5197	243	5	]	]	X
ejpam-5197	243	6	)	)	PUNCT
ejpam-5197	243	7	and	and	CCONJ
ejpam-5197	243	8	limi→∞qi	limi→∞qi	ADV
ejpam-5197	243	9	=	=	SYM
ejpam-5197	243	10	∞.	∞.	PROPN
ejpam-5197	243	11	then	then	ADV
ejpam-5197	243	12	η̄(ζ	η̄(ζ	PROPN
ejpam-5197	243	13	,	,	PUNCT
ejpam-5197	243	14	ι	ι	PRON
ejpam-5197	243	15	)	)	PUNCT
ejpam-5197	243	16	=	=	SYM
ejpam-5197	244	1	lim	lim	PROPN
ejpam-5197	244	2	i→∞	i→∞	NUM
ejpam-5197	244	3	ηqi(ζ	ηqi(ζ	PROPN
ejpam-5197	244	4	,	,	PUNCT
ejpam-5197	244	5	ι	ι	PROPN
ejpam-5197	244	6	)	)	PUNCT
ejpam-5197	244	7	,	,	PUNCT
ejpam-5197	244	8	(	(	PUNCT
ejpam-5197	244	9	34	34	NUM
ejpam-5197	244	10	)	)	PUNCT
ejpam-5197	244	11	is	be	AUX
ejpam-5197	244	12	a	a	DET
ejpam-5197	244	13	solution	solution	NOUN
ejpam-5197	244	14	of	of	ADP
ejpam-5197	244	15	the	the	DET
ejpam-5197	244	16	system	system	NOUN
ejpam-5197	244	17	(	(	PUNCT
ejpam-5197	244	18	1	1	NUM
ejpam-5197	244	19	)	)	PUNCT
ejpam-5197	244	20	.	.	PUNCT
ejpam-5197	245	1	proof	proof	NOUN
ejpam-5197	245	2	.	.	PUNCT
ejpam-5197	246	1	define	define	VERB
ejpam-5197	246	2	η̄(ζ	η̄(ζ	NOUN
ejpam-5197	246	3	,	,	PUNCT
ejpam-5197	246	4	ι	ι	PROPN
ejpam-5197	246	5	)	)	PUNCT
ejpam-5197	246	6	=	=	SYM
ejpam-5197	246	7	χ∞(ι	χ∞(ι	X
ejpam-5197	246	8	)	)	PUNCT
ejpam-5197	247	1	+	+	CCONJ
ejpam-5197	247	2	∫	∫	X
ejpam-5197	247	3	ζ	ζ	NOUN
ejpam-5197	247	4	0	0	NUM
ejpam-5197	247	5	q(τ	q(τ	PROPN
ejpam-5197	247	6	,	,	PUNCT
ejpam-5197	247	7	ι)dτ	ι)dτ	PROPN
ejpam-5197	247	8	.	.	PUNCT
ejpam-5197	247	9	(	(	PUNCT
ejpam-5197	247	10	35	35	NUM
ejpam-5197	247	11	)	)	PUNCT
ejpam-5197	247	12	at	at	ADP
ejpam-5197	247	13	first	first	ADV
ejpam-5197	247	14	,	,	PUNCT
ejpam-5197	247	15	we	we	PRON
ejpam-5197	247	16	prove	prove	VERB
ejpam-5197	247	17	that	that	SCONJ
ejpam-5197	247	18	η̄	η̄	VERB
ejpam-5197	247	19	(	(	PUNCT
ejpam-5197	247	20	.	.	PUNCT
ejpam-5197	247	21	,	,	PUNCT
ejpam-5197	247	22	.	.	PUNCT
ejpam-5197	247	23	)	)	PUNCT
ejpam-5197	248	1	satisfies	satisfie	NOUN
ejpam-5197	248	2	(	(	PUNCT
ejpam-5197	248	3	1)-(3	1)-(3	NUM
ejpam-5197	248	4	)	)	PUNCT
ejpam-5197	248	5	.	.	PUNCT
ejpam-5197	249	1	by	by	ADP
ejpam-5197	249	2	contradiction	contradiction	NOUN
ejpam-5197	249	3	,	,	PUNCT
ejpam-5197	249	4	we	we	PRON
ejpam-5197	249	5	assume	assume	VERB
ejpam-5197	249	6	that	that	SCONJ
ejpam-5197	249	7	there	there	PRON
ejpam-5197	249	8	is	be	VERB
ejpam-5197	249	9	index	index	NOUN
ejpam-5197	249	10	1	1	NUM
ejpam-5197	249	11	≤	≤	NUM
ejpam-5197	249	12	l	l	NOUN
ejpam-5197	249	13	≤	≤	NUM
ejpam-5197	249	14	q−	q−	PROPN
ejpam-5197	249	15	1	1	NUM
ejpam-5197	249	16	and	and	CCONJ
ejpam-5197	249	17	τ	τ	PROPN
ejpam-5197	249	18	∈	∈	PROPN
ejpam-5197	250	1	[	[	X
ejpam-5197	250	2	0,m	0,m	X
ejpam-5197	250	3	]	]	PUNCT
ejpam-5197	251	1	such	such	ADJ
ejpam-5197	251	2	that	that	SCONJ
ejpam-5197	251	3	η̄ζ(τ	η̄ζ(τ	NOUN
ejpam-5197	251	4	,	,	PUNCT
ejpam-5197	251	5	ιl)−	ιl)−	PUNCT
ejpam-5197	251	6	z	z	PROPN
ejpam-5197	251	7	(	(	PUNCT
ejpam-5197	251	8	ζk	ζk	PROPN
ejpam-5197	251	9	,	,	PUNCT
ejpam-5197	251	10	ιl	ιl	INTJ
ejpam-5197	251	11	,	,	PUNCT
ejpam-5197	251	12	η̄(τ	η̄(τ	NOUN
ejpam-5197	251	13	,	,	PUNCT
ejpam-5197	251	14	ιl	ιl	NOUN
ejpam-5197	251	15	)	)	PUNCT
ejpam-5197	251	16	,	,	PUNCT
ejpam-5197	251	17	φ(τ	φ(τ	PROPN
ejpam-5197	251	18	−	−	PROPN
ejpam-5197	251	19	µ	µ	NOUN
ejpam-5197	251	20	,	,	PUNCT
ejpam-5197	251	21	ιl	ιl	NOUN
ejpam-5197	251	22	)	)	PUNCT
ejpam-5197	251	23	,	,	PUNCT
ejpam-5197	251	24	η̄(τ	η̄(τ	NOUN
ejpam-5197	251	25	,	,	PUNCT
ejpam-5197	251	26	ιl	ιl	NOUN
ejpam-5197	251	27	)	)	PUNCT
ejpam-5197	251	28	)	)	PUNCT
ejpam-5197	252	1	̸=	̸=	PROPN
ejpam-5197	252	2	0	0	NUM
ejpam-5197	252	3	,	,	PUNCT
ejpam-5197	252	4	k	k	NOUN
ejpam-5197	252	5	=	=	SYM
ejpam-5197	252	6	1	1	NUM
ejpam-5197	252	7	,	,	PUNCT
ejpam-5197	252	8	·	·	PUNCT
ejpam-5197	252	9	·	·	PUNCT
ejpam-5197	252	10	·	·	PUNCT
ejpam-5197	252	11	,	,	PUNCT
ejpam-5197	252	12	sµ	sµ	PROPN
ejpam-5197	252	13	,	,	PUNCT
ejpam-5197	252	14	(	(	PUNCT
ejpam-5197	252	15	36	36	NUM
ejpam-5197	252	16	)	)	PUNCT
ejpam-5197	252	17	m.	m.	NOUN
ejpam-5197	252	18	ghovatmand	ghovatmand	NOUN
ejpam-5197	252	19	et	et	PROPN
ejpam-5197	252	20	al	al	PROPN
ejpam-5197	252	21	.	.	PUNCT
ejpam-5197	252	22	/	/	SYM
ejpam-5197	252	23	eur	eur	PROPN
ejpam-5197	252	24	.	.	PUNCT
ejpam-5197	253	1	j.	j.	PROPN
ejpam-5197	253	2	pure	pure	PROPN
ejpam-5197	253	3	appl	appl	PROPN
ejpam-5197	253	4	.	.	PROPN
ejpam-5197	253	5	math	math	PROPN
ejpam-5197	253	6	,	,	PUNCT
ejpam-5197	253	7	17	17	NUM
ejpam-5197	253	8	(	(	PUNCT
ejpam-5197	253	9	3	3	NUM
ejpam-5197	253	10	)	)	PUNCT
ejpam-5197	253	11	(	(	PUNCT
ejpam-5197	253	12	2024	2024	NUM
ejpam-5197	253	13	)	)	PUNCT
ejpam-5197	253	14	,	,	PUNCT
ejpam-5197	253	15	1565	1565	NUM
ejpam-5197	253	16	-	-	SYM
ejpam-5197	253	17	1584	1584	NUM
ejpam-5197	253	18	1574	1574	NUM
ejpam-5197	253	19	or	or	CCONJ
ejpam-5197	253	20	η̄ζ(τ	η̄ζ(τ	NOUN
ejpam-5197	253	21	,	,	PUNCT
ejpam-5197	253	22	ιl)−	ιl)−	PUNCT
ejpam-5197	253	23	z	z	PROPN
ejpam-5197	253	24	(	(	PUNCT
ejpam-5197	253	25	ζk	ζk	PROPN
ejpam-5197	253	26	,	,	PUNCT
ejpam-5197	253	27	ιl	ιl	INTJ
ejpam-5197	253	28	,	,	PUNCT
ejpam-5197	253	29	η̄(τ	η̄(τ	NOUN
ejpam-5197	253	30	,	,	PUNCT
ejpam-5197	253	31	ιl	ιl	NOUN
ejpam-5197	253	32	)	)	PUNCT
ejpam-5197	253	33	,	,	PUNCT
ejpam-5197	253	34	η̄(τ	η̄(τ	NOUN
ejpam-5197	253	35	−	−	PROPN
ejpam-5197	253	36	µ	µ	NUM
ejpam-5197	253	37	,	,	PUNCT
ejpam-5197	253	38	ιl	ιl	NOUN
ejpam-5197	253	39	)	)	PUNCT
ejpam-5197	253	40	,	,	PUNCT
ejpam-5197	253	41	η̄ιι(τ	η̄ιι(τ	NOUN
ejpam-5197	253	42	,	,	PUNCT
ejpam-5197	253	43	ιl	ιl	NOUN
ejpam-5197	253	44	)	)	PUNCT
ejpam-5197	253	45	)	)	PUNCT
ejpam-5197	254	1	̸=	̸=	PROPN
ejpam-5197	254	2	0	0	NUM
ejpam-5197	254	3	,	,	PUNCT
ejpam-5197	254	4	k	k	PROPN
ejpam-5197	254	5	=	=	SYM
ejpam-5197	254	6	sµ+1	sµ+1	PROPN
ejpam-5197	254	7	,	,	PUNCT
ejpam-5197	254	8	·	·	PUNCT
ejpam-5197	254	9	·	·	PUNCT
ejpam-5197	254	10	·	·	PUNCT
ejpam-5197	254	11	,	,	PUNCT
ejpam-5197	254	12	q.	q.	PROPN
ejpam-5197	254	13	(	(	PUNCT
ejpam-5197	254	14	37	37	NUM
ejpam-5197	254	15	)	)	PUNCT
ejpam-5197	254	16	assume	assume	VERB
ejpam-5197	254	17	that	that	SCONJ
ejpam-5197	254	18	we	we	PRON
ejpam-5197	254	19	have	have	VERB
ejpam-5197	254	20	(	(	PUNCT
ejpam-5197	254	21	36	36	NUM
ejpam-5197	254	22	)	)	PUNCT
ejpam-5197	254	23	.	.	PUNCT
ejpam-5197	255	1	since	since	SCONJ
ejpam-5197	255	2	the	the	DET
ejpam-5197	255	3	shifted	shift	VERB
ejpam-5197	255	4	lgl	lgl	PROPN
ejpam-5197	255	5	points	point	NOUN
ejpam-5197	255	6	are	be	AUX
ejpam-5197	255	7	dense	dense	ADJ
ejpam-5197	255	8	in	in	ADP
ejpam-5197	255	9	[	[	X
ejpam-5197	255	10	0,m	0,m	X
ejpam-5197	255	11	]	]	X
ejpam-5197	255	12	when	when	SCONJ
ejpam-5197	255	13	q	q	X
ejpam-5197	255	14	→	→	SYM
ejpam-5197	255	15	∞	∞	PROPN
ejpam-5197	255	16	,	,	PUNCT
ejpam-5197	255	17	redthere	redthere	NOUN
ejpam-5197	255	18	are	be	AUX
ejpam-5197	255	19	subsequences	subsequence	NOUN
ejpam-5197	255	20	{	{	PUNCT
ejpam-5197	255	21	ζkqi	ζkqi	NOUN
ejpam-5197	255	22	}	}	PUNCT
ejpam-5197	255	23	∞i=1	∞i=1	INTJ
ejpam-5197	255	24	that	that	SCONJ
ejpam-5197	255	25	0	0	PUNCT
ejpam-5197	255	26	<	<	X
ejpam-5197	255	27	kqi	kqi	X
ejpam-5197	255	28	<	<	X
ejpam-5197	255	29	qi	qi	PROPN
ejpam-5197	255	30	and	and	CCONJ
ejpam-5197	255	31	limi→∞	limi→∞	PROPN
ejpam-5197	255	32	ζkqi	ζkqi	ADV
ejpam-5197	255	33	=	=	SYM
ejpam-5197	255	34	τ	τ	PROPN
ejpam-5197	255	35	.	.	PUNCT
ejpam-5197	256	1	so	so	ADV
ejpam-5197	256	2	we	we	PRON
ejpam-5197	256	3	have	have	VERB
ejpam-5197	256	4	lim	lim	PROPN
ejpam-5197	256	5	i→∞	i→∞	PROPN
ejpam-5197	256	6	(	(	PUNCT
ejpam-5197	256	7	η̄ζ(ζkqi	η̄ζ(ζkqi	PROPN
ejpam-5197	256	8	,	,	PUNCT
ejpam-5197	256	9	ιl)−	ιl)−	X
ejpam-5197	256	10	z	z	PROPN
ejpam-5197	257	1	(	(	PUNCT
ejpam-5197	257	2	ζk	ζk	PROPN
ejpam-5197	257	3	,	,	PUNCT
ejpam-5197	257	4	ιl	ιl	NOUN
ejpam-5197	257	5	,	,	PUNCT
ejpam-5197	257	6	η̄(ζkqi	η̄(ζkqi	PROPN
ejpam-5197	257	7	,	,	PUNCT
ejpam-5197	257	8	ιl	ιl	PROPN
ejpam-5197	257	9	)	)	PUNCT
ejpam-5197	257	10	,	,	PUNCT
ejpam-5197	257	11	φ(ζkqi	φ(ζkqi	NOUN
ejpam-5197	257	12	,	,	PUNCT
ejpam-5197	257	13	ιl	ιl	NOUN
ejpam-5197	257	14	)	)	PUNCT
ejpam-5197	257	15	,	,	PUNCT
ejpam-5197	257	16	η̄ιι(ζkqi	η̄ιι(ζkqi	NOUN
ejpam-5197	257	17	,	,	PUNCT
ejpam-5197	257	18	ιl	ιl	NOUN
ejpam-5197	257	19	)	)	PUNCT
ejpam-5197	257	20	)	)	PUNCT
ejpam-5197	257	21	)	)	PUNCT
ejpam-5197	258	1	=	=	PUNCT
ejpam-5197	258	2	η̄ζ(τ	η̄ζ(τ	NOUN
ejpam-5197	258	3	,	,	PUNCT
ejpam-5197	258	4	ιl)−	ιl)−	PUNCT
ejpam-5197	258	5	z	z	PROPN
ejpam-5197	258	6	(	(	PUNCT
ejpam-5197	258	7	ζk	ζk	PROPN
ejpam-5197	258	8	,	,	PUNCT
ejpam-5197	258	9	ιl	ιl	INTJ
ejpam-5197	258	10	,	,	PUNCT
ejpam-5197	258	11	η̄(τ	η̄(τ	NOUN
ejpam-5197	258	12	,	,	PUNCT
ejpam-5197	258	13	ιl	ιl	NOUN
ejpam-5197	258	14	)	)	PUNCT
ejpam-5197	258	15	,	,	PUNCT
ejpam-5197	258	16	φ(τ	φ(τ	PROPN
ejpam-5197	258	17	−	−	PROPN
ejpam-5197	258	18	µ	µ	NOUN
ejpam-5197	258	19	,	,	PUNCT
ejpam-5197	258	20	ιl	ιl	NOUN
ejpam-5197	258	21	)	)	PUNCT
ejpam-5197	258	22	,	,	PUNCT
ejpam-5197	258	23	η̄ιι(τ	η̄ιι(τ	NOUN
ejpam-5197	258	24	,	,	PUNCT
ejpam-5197	258	25	ιl	ιl	NOUN
ejpam-5197	258	26	)	)	PUNCT
ejpam-5197	258	27	)	)	PUNCT
ejpam-5197	259	1	̸=	̸=	PROPN
ejpam-5197	259	2	0	0	NUM
ejpam-5197	259	3	.	.	PUNCT
ejpam-5197	260	1	on	on	ADP
ejpam-5197	260	2	the	the	DET
ejpam-5197	260	3	other	other	ADJ
ejpam-5197	260	4	hand	hand	NOUN
ejpam-5197	260	5	,	,	PUNCT
ejpam-5197	260	6	since	since	SCONJ
ejpam-5197	260	7	limi→∞	limi→∞	PROPN
ejpam-5197	260	8	√	√	ADP
ejpam-5197	260	9	qi	qi	PROPN
ejpam-5197	260	10	2qi−1y	2qi−1y	NUM
ejpam-5197	260	11	(	(	PUNCT
ejpam-5197	260	12	1	1	NUM
ejpam-5197	260	13	2qi−1	2qi−1	NUM
ejpam-5197	260	14	)	)	PUNCT
ejpam-5197	260	15	=	=	SYM
ejpam-5197	260	16	0	0	NUM
ejpam-5197	260	17	,	,	PUNCT
ejpam-5197	260	18	from	from	ADP
ejpam-5197	260	19	(	(	PUNCT
ejpam-5197	260	20	22	22	NUM
ejpam-5197	260	21	)	)	PUNCT
ejpam-5197	260	22	we	we	PRON
ejpam-5197	260	23	have	have	VERB
ejpam-5197	260	24	lim	lim	PROPN
ejpam-5197	260	25	i→∞	i→∞	PROPN
ejpam-5197	260	26	(	(	PUNCT
ejpam-5197	260	27	η̄ζ(ζkqi	η̄ζ(ζkqi	PROPN
ejpam-5197	260	28	,	,	PUNCT
ejpam-5197	260	29	ιl)−	ιl)−	X
ejpam-5197	260	30	z	z	PROPN
ejpam-5197	260	31	(	(	PUNCT
ejpam-5197	260	32	ζk	ζk	PROPN
ejpam-5197	260	33	,	,	PUNCT
ejpam-5197	260	34	ιl	ιl	NOUN
ejpam-5197	260	35	,	,	PUNCT
ejpam-5197	260	36	η̄(ζkqi	η̄(ζkqi	PROPN
ejpam-5197	260	37	,	,	PUNCT
ejpam-5197	260	38	ιl	ιl	PROPN
ejpam-5197	260	39	)	)	PUNCT
ejpam-5197	260	40	,	,	PUNCT
ejpam-5197	260	41	φ(ζkqi	φ(ζkqi	NOUN
ejpam-5197	260	42	−	−	PROPN
ejpam-5197	260	43	µ	µ	NUM
ejpam-5197	260	44	,	,	PUNCT
ejpam-5197	260	45	ιl	ιl	NOUN
ejpam-5197	260	46	)	)	PUNCT
ejpam-5197	260	47	,	,	PUNCT
ejpam-5197	260	48	η̄ιι(ζkqi	η̄ιι(ζkqi	NOUN
ejpam-5197	260	49	,	,	PUNCT
ejpam-5197	260	50	ιl	ιl	NOUN
ejpam-5197	260	51	)	)	PUNCT
ejpam-5197	260	52	)	)	PUNCT
ejpam-5197	260	53	)	)	PUNCT
ejpam-5197	261	1	=	=	SYM
ejpam-5197	261	2	0	0	PUNCT
ejpam-5197	262	1	and	and	CCONJ
ejpam-5197	262	2	this	this	PRON
ejpam-5197	262	3	contradicts	contradict	VERB
ejpam-5197	262	4	the	the	DET
ejpam-5197	262	5	relation	relation	NOUN
ejpam-5197	262	6	(	(	PUNCT
ejpam-5197	262	7	36	36	NUM
ejpam-5197	262	8	)	)	PUNCT
ejpam-5197	262	9	.	.	PUNCT
ejpam-5197	263	1	similarly	similarly	ADV
ejpam-5197	263	2	,	,	PUNCT
ejpam-5197	263	3	if	if	SCONJ
ejpam-5197	263	4	we	we	PRON
ejpam-5197	263	5	have	have	VERB
ejpam-5197	263	6	(	(	PUNCT
ejpam-5197	263	7	37	37	NUM
ejpam-5197	263	8	)	)	PUNCT
ejpam-5197	263	9	,	,	PUNCT
ejpam-5197	263	10	lim	lim	PROPN
ejpam-5197	263	11	i→∞	i→∞	PROPN
ejpam-5197	263	12	(	(	PUNCT
ejpam-5197	263	13	η̄ζ(ζkqi	η̄ζ(ζkqi	PROPN
ejpam-5197	263	14	,	,	PUNCT
ejpam-5197	263	15	ιl)−	ιl)−	X
ejpam-5197	263	16	z	z	PROPN
ejpam-5197	264	1	(	(	PUNCT
ejpam-5197	264	2	ζk	ζk	PROPN
ejpam-5197	264	3	,	,	PUNCT
ejpam-5197	264	4	ιl	ιl	NOUN
ejpam-5197	264	5	,	,	PUNCT
ejpam-5197	264	6	η̄(ζkqi	η̄(ζkqi	PROPN
ejpam-5197	264	7	,	,	PUNCT
ejpam-5197	264	8	ιl	ιl	PROPN
ejpam-5197	264	9	)	)	PUNCT
ejpam-5197	264	10	,	,	PUNCT
ejpam-5197	264	11	η̄(ζkqi	η̄(ζkqi	PROPN
ejpam-5197	264	12	,	,	PUNCT
ejpam-5197	264	13	ιl	ιl	PROPN
ejpam-5197	264	14	)	)	PUNCT
ejpam-5197	264	15	,	,	PUNCT
ejpam-5197	264	16	η̄ιι(ζkqi	η̄ιι(ζkqi	NOUN
ejpam-5197	264	17	,	,	PUNCT
ejpam-5197	264	18	ιl	ιl	NOUN
ejpam-5197	264	19	)	)	PUNCT
ejpam-5197	264	20	)	)	PUNCT
ejpam-5197	264	21	)	)	PUNCT
ejpam-5197	265	1	=	=	PUNCT
ejpam-5197	265	2	η̄ζ(τ	η̄ζ(τ	NOUN
ejpam-5197	265	3	,	,	PUNCT
ejpam-5197	265	4	ιl)−	ιl)−	PUNCT
ejpam-5197	265	5	z	z	PROPN
ejpam-5197	265	6	(	(	PUNCT
ejpam-5197	265	7	ζk	ζk	PROPN
ejpam-5197	265	8	,	,	PUNCT
ejpam-5197	265	9	ιl	ιl	INTJ
ejpam-5197	265	10	,	,	PUNCT
ejpam-5197	265	11	η̄(τ	η̄(τ	NOUN
ejpam-5197	265	12	,	,	PUNCT
ejpam-5197	265	13	ιl	ιl	NOUN
ejpam-5197	265	14	)	)	PUNCT
ejpam-5197	265	15	,	,	PUNCT
ejpam-5197	265	16	η̄(τ	η̄(τ	NOUN
ejpam-5197	265	17	−	−	PROPN
ejpam-5197	265	18	µ	µ	NUM
ejpam-5197	265	19	,	,	PUNCT
ejpam-5197	265	20	ιl	ιl	NOUN
ejpam-5197	265	21	)	)	PUNCT
ejpam-5197	265	22	,	,	PUNCT
ejpam-5197	265	23	η̄ιι(τ	η̄ιι(τ	NOUN
ejpam-5197	265	24	,	,	PUNCT
ejpam-5197	265	25	ιl	ιl	NOUN
ejpam-5197	265	26	)	)	PUNCT
ejpam-5197	265	27	)	)	PUNCT
ejpam-5197	266	1	̸=	̸=	PROPN
ejpam-5197	266	2	0	0	NUM
ejpam-5197	266	3	.	.	PUNCT
ejpam-5197	267	1	since	since	SCONJ
ejpam-5197	267	2	limi→∞	limi→∞	PROPN
ejpam-5197	267	3	√	√	PROPN
ejpam-5197	267	4	qi	qi	PROPN
ejpam-5197	267	5	2qi−1y	2qi−1y	NUM
ejpam-5197	267	6	(	(	PUNCT
ejpam-5197	267	7	1	1	NUM
ejpam-5197	267	8	2qi−1	2qi−1	NUM
ejpam-5197	267	9	)	)	PUNCT
ejpam-5197	267	10	=	=	SYM
ejpam-5197	268	1	0	0	NUM
ejpam-5197	268	2	,	,	PUNCT
ejpam-5197	268	3	so	so	ADV
ejpam-5197	268	4	lim	lim	PROPN
ejpam-5197	268	5	i→∞	i→∞	PROPN
ejpam-5197	268	6	(	(	PUNCT
ejpam-5197	268	7	η̄ζ(ζkqi	η̄ζ(ζkqi	PROPN
ejpam-5197	268	8	,	,	PUNCT
ejpam-5197	268	9	ιl)−	ιl)−	X
ejpam-5197	268	10	z	z	PROPN
ejpam-5197	269	1	(	(	PUNCT
ejpam-5197	269	2	ζk	ζk	PROPN
ejpam-5197	269	3	,	,	PUNCT
ejpam-5197	269	4	ιl	ιl	NOUN
ejpam-5197	269	5	,	,	PUNCT
ejpam-5197	269	6	η̄(ζkqi	η̄(ζkqi	PROPN
ejpam-5197	269	7	,	,	PUNCT
ejpam-5197	269	8	ιl	ιl	PROPN
ejpam-5197	269	9	)	)	PUNCT
ejpam-5197	269	10	,	,	PUNCT
ejpam-5197	269	11	η̄(ζkqi	η̄(ζkqi	PROPN
ejpam-5197	269	12	−	−	PROPN
ejpam-5197	269	13	µ	µ	NOUN
ejpam-5197	269	14	,	,	PUNCT
ejpam-5197	269	15	ιl	ιl	NOUN
ejpam-5197	269	16	)	)	PUNCT
ejpam-5197	269	17	,	,	PUNCT
ejpam-5197	269	18	η̄ιι(ζkqi	η̄ιι(ζkqi	NOUN
ejpam-5197	269	19	,	,	PUNCT
ejpam-5197	269	20	ιl	ιl	NOUN
ejpam-5197	269	21	)	)	PUNCT
ejpam-5197	269	22	)	)	PUNCT
ejpam-5197	269	23	)	)	PUNCT
ejpam-5197	270	1	=	=	PUNCT
ejpam-5197	270	2	0	0	NUM
ejpam-5197	270	3	,	,	PUNCT
ejpam-5197	270	4	which	which	PRON
ejpam-5197	270	5	contradicts	contradict	VERB
ejpam-5197	270	6	the	the	DET
ejpam-5197	270	7	relation	relation	NOUN
ejpam-5197	270	8	(	(	PUNCT
ejpam-5197	270	9	37	37	NUM
ejpam-5197	270	10	)	)	PUNCT
ejpam-5197	270	11	.	.	PUNCT
ejpam-5197	271	1	it	it	PRON
ejpam-5197	271	2	is	be	AUX
ejpam-5197	271	3	also	also	ADV
ejpam-5197	271	4	easy	easy	ADJ
ejpam-5197	271	5	to	to	PART
ejpam-5197	271	6	see	see	VERB
ejpam-5197	271	7	that	that	SCONJ
ejpam-5197	271	8	η̄(ζ	η̄(ζ	NOUN
ejpam-5197	271	9	,	,	PUNCT
ejpam-5197	271	10	ι	ι	PROPN
ejpam-5197	271	11	)	)	PUNCT
ejpam-5197	271	12	for	for	ADP
ejpam-5197	271	13	ι	ι	PROPN
ejpam-5197	271	14	=	=	PRON
ejpam-5197	271	15	ιl	ιl	NOUN
ejpam-5197	271	16	(	(	PUNCT
ejpam-5197	271	17	l	l	NOUN
ejpam-5197	271	18	=	=	SYM
ejpam-5197	271	19	1	1	NUM
ejpam-5197	271	20	,	,	PUNCT
ejpam-5197	271	21	2	2	NUM
ejpam-5197	271	22	,	,	PUNCT
ejpam-5197	271	23	..	..	PUNCT
ejpam-5197	271	24	,	,	PUNCT
ejpam-5197	271	25	q	q	PROPN
ejpam-5197	271	26	−	−	PROPN
ejpam-5197	271	27	1	1	NUM
ejpam-5197	271	28	)	)	PUNCT
ejpam-5197	271	29	and	and	CCONJ
ejpam-5197	271	30	ζ	ζ	NOUN
ejpam-5197	271	31	∈	∈	PROPN
ejpam-5197	272	1	[	[	X
ejpam-5197	272	2	0,m	0,m	X
ejpam-5197	272	3	]	]	PUNCT
ejpam-5197	272	4	satisfies	satisfy	VERB
ejpam-5197	272	5	conditions	condition	NOUN
ejpam-5197	272	6	(	(	PUNCT
ejpam-5197	272	7	2	2	NUM
ejpam-5197	272	8	)	)	PUNCT
ejpam-5197	272	9	and	and	CCONJ
ejpam-5197	272	10	(	(	PUNCT
ejpam-5197	272	11	3	3	NUM
ejpam-5197	272	12	)	)	PUNCT
ejpam-5197	272	13	,	,	PUNCT
ejpam-5197	272	14	by	by	ADP
ejpam-5197	272	15	using	use	VERB
ejpam-5197	272	16	the	the	DET
ejpam-5197	272	17	assumptions	assumption	NOUN
ejpam-5197	272	18	of	of	ADP
ejpam-5197	272	19	theorem	theorem	NOUN
ejpam-5197	272	20	and	and	CCONJ
ejpam-5197	272	21	the	the	DET
ejpam-5197	272	22	last	last	ADJ
ejpam-5197	272	23	three	three	NUM
ejpam-5197	272	24	equations	equation	NOUN
ejpam-5197	272	25	of	of	ADP
ejpam-5197	272	26	system	system	NOUN
ejpam-5197	272	27	(	(	PUNCT
ejpam-5197	272	28	22	22	NUM
ejpam-5197	272	29	)	)	PUNCT
ejpam-5197	272	30	.	.	PUNCT
ejpam-5197	273	1	hence	hence	ADV
ejpam-5197	273	2	,	,	PUNCT
ejpam-5197	273	3	η̄(ζ	η̄(ζ	PROPN
ejpam-5197	273	4	,	,	PUNCT
ejpam-5197	273	5	ι	ι	PROPN
ejpam-5197	273	6	)	)	PUNCT
ejpam-5197	273	7	for	for	ADP
ejpam-5197	273	8	ι	ι	PROPN
ejpam-5197	273	9	=	=	PRON
ejpam-5197	273	10	ιl	ιl	NOUN
ejpam-5197	273	11	(	(	PUNCT
ejpam-5197	273	12	l	l	NOUN
ejpam-5197	273	13	=	=	SYM
ejpam-5197	273	14	1	1	NUM
ejpam-5197	273	15	,	,	PUNCT
ejpam-5197	273	16	2	2	NUM
ejpam-5197	273	17	,	,	PUNCT
ejpam-5197	273	18	..	..	PUNCT
ejpam-5197	273	19	,	,	PUNCT
ejpam-5197	273	20	q−1	q−1	PROPN
ejpam-5197	273	21	)	)	PUNCT
ejpam-5197	273	22	and	and	CCONJ
ejpam-5197	273	23	ζ	ζ	NOUN
ejpam-5197	273	24	∈	∈	PROPN
ejpam-5197	274	1	[	[	X
ejpam-5197	274	2	0,m	0,m	X
ejpam-5197	274	3	]	]	X
ejpam-5197	274	4	satisfies	satisfie	NOUN
ejpam-5197	274	5	in	in	ADP
ejpam-5197	274	6	all	all	DET
ejpam-5197	274	7	equations	equation	NOUN
ejpam-5197	274	8	of	of	ADP
ejpam-5197	274	9	system	system	NOUN
ejpam-5197	274	10	(	(	PUNCT
ejpam-5197	274	11	22	22	NUM
ejpam-5197	274	12	)	)	PUNCT
ejpam-5197	274	13	.	.	PUNCT
ejpam-5197	275	1	we	we	PRON
ejpam-5197	275	2	know	know	VERB
ejpam-5197	275	3	that	that	PRON
ejpam-5197	275	4	shifted	shift	VERB
ejpam-5197	275	5	lgl	lgl	PROPN
ejpam-5197	275	6	points	point	NOUN
ejpam-5197	275	7	{	{	PUNCT
ejpam-5197	275	8	ιk}qk=1	ιk}qk=1	NOUN
ejpam-5197	275	9	are	be	AUX
ejpam-5197	275	10	dense	dense	ADJ
ejpam-5197	275	11	in	in	ADP
ejpam-5197	275	12	[	[	X
ejpam-5197	275	13	0	0	NUM
ejpam-5197	275	14	,	,	PUNCT
ejpam-5197	275	15	p	p	X
ejpam-5197	275	16	]	]	PUNCT
ejpam-5197	275	17	when	when	SCONJ
ejpam-5197	275	18	q	q	PROPN
ejpam-5197	275	19	tends	tend	VERB
ejpam-5197	275	20	to	to	PART
ejpam-5197	275	21	infinity	infinity	VERB
ejpam-5197	275	22	,	,	PUNCT
ejpam-5197	275	23	thus	thus	ADV
ejpam-5197	275	24	η̄(ζ	η̄(ζ	PROPN
ejpam-5197	275	25	,	,	PUNCT
ejpam-5197	275	26	ι	ι	PROPN
ejpam-5197	275	27	)	)	PUNCT
ejpam-5197	275	28	for	for	ADP
ejpam-5197	275	29	all	all	PRON
ejpam-5197	275	30	[	[	X
ejpam-5197	275	31	ζ	ζ	X
ejpam-5197	275	32	,	,	PUNCT
ejpam-5197	275	33	ι	ι	X
ejpam-5197	275	34	]	]	X
ejpam-5197	275	35	∈	∈	PROPN
ejpam-5197	275	36	γ̃	γ̃	PROPN
ejpam-5197	275	37	satisfies	satisfy	VERB
ejpam-5197	275	38	system	system	NOUN
ejpam-5197	275	39	(	(	PUNCT
ejpam-5197	275	40	1)-(3	1)-(3	NUM
ejpam-5197	275	41	)	)	PUNCT
ejpam-5197	275	42	.	.	PUNCT
ejpam-5197	276	1	5	5	X
ejpam-5197	276	2	.	.	X
ejpam-5197	276	3	illustrative	illustrative	ADJ
ejpam-5197	276	4	examples	example	NOUN
ejpam-5197	276	5	to	to	PART
ejpam-5197	276	6	show	show	VERB
ejpam-5197	276	7	the	the	DET
ejpam-5197	276	8	effectiveness	effectiveness	NOUN
ejpam-5197	276	9	of	of	ADP
ejpam-5197	276	10	suggested	suggest	VERB
ejpam-5197	276	11	approach	approach	NOUN
ejpam-5197	276	12	,	,	PUNCT
ejpam-5197	276	13	we	we	PRON
ejpam-5197	276	14	solve	solve	VERB
ejpam-5197	276	15	four	four	NUM
ejpam-5197	276	16	numerical	numerical	ADJ
ejpam-5197	276	17	examples	example	NOUN
ejpam-5197	276	18	.	.	PUNCT
ejpam-5197	277	1	the	the	DET
ejpam-5197	277	2	system	system	NOUN
ejpam-5197	277	3	(	(	PUNCT
ejpam-5197	277	4	15	15	NUM
ejpam-5197	277	5	)	)	PUNCT
ejpam-5197	277	6	is	be	AUX
ejpam-5197	277	7	solved	solve	VERB
ejpam-5197	277	8	using	use	VERB
ejpam-5197	277	9	matlab	matlab	PROPN
ejpam-5197	277	10	software	software	NOUN
ejpam-5197	277	11	with	with	ADP
ejpam-5197	277	12	levenberg	levenberg	PROPN
ejpam-5197	277	13	-	-	PUNCT
ejpam-5197	277	14	marqurdt	marqurdt	NOUN
ejpam-5197	277	15	algorithm	algorithm	NOUN
ejpam-5197	277	16	.	.	PUNCT
ejpam-5197	278	1	the	the	DET
ejpam-5197	278	2	absolute	absolute	ADJ
ejpam-5197	278	3	error	error	NOUN
ejpam-5197	278	4	of	of	ADP
ejpam-5197	278	5	obtained	obtain	VERB
ejpam-5197	278	6	approximation	approximation	NOUN
ejpam-5197	278	7	solution	solution	NOUN
ejpam-5197	278	8	ηq	ηq	PROPN
ejpam-5197	278	9	(	(	PUNCT
ejpam-5197	278	10	.	.	PUNCT
ejpam-5197	278	11	,	,	PUNCT
ejpam-5197	278	12	.	.	PUNCT
ejpam-5197	278	13	)	)	PUNCT
ejpam-5197	279	1	for	for	ADP
ejpam-5197	279	2	exact	exact	ADJ
ejpam-5197	279	3	solution	solution	NOUN
ejpam-5197	279	4	η	η	PROPN
ejpam-5197	279	5	(	(	PUNCT
ejpam-5197	279	6	.	.	PUNCT
ejpam-5197	279	7	,	,	PUNCT
ejpam-5197	279	8	.	.	PUNCT
ejpam-5197	279	9	)	)	PUNCT
ejpam-5197	279	10	is	be	AUX
ejpam-5197	279	11	described	describe	VERB
ejpam-5197	279	12	by	by	ADP
ejpam-5197	279	13	erq(ζ	erq(ζ	PROPN
ejpam-5197	279	14	,	,	PUNCT
ejpam-5197	279	15	ι	ι	X
ejpam-5197	279	16	)	)	PUNCT
ejpam-5197	279	17	=	=	SYM
ejpam-5197	279	18	|η(ζ	|η(ζ	PROPN
ejpam-5197	279	19	,	,	PUNCT
ejpam-5197	279	20	ι)−	ι)−	PROPN
ejpam-5197	279	21	ηq(ζ	ηq(ζ	NUM
ejpam-5197	279	22	,	,	PUNCT
ejpam-5197	279	23	ι)|	ι)|	PROPN
ejpam-5197	279	24	,	,	PUNCT
ejpam-5197	279	25	(	(	PUNCT
ejpam-5197	279	26	ζ	ζ	X
ejpam-5197	279	27	,	,	PUNCT
ejpam-5197	279	28	ι	ι	PROPN
ejpam-5197	279	29	)	)	PUNCT
ejpam-5197	279	30	=	=	PUNCT
ejpam-5197	280	1	[	[	X
ejpam-5197	280	2	0,m	0,m	X
ejpam-5197	280	3	]	]	X
ejpam-5197	280	4	×	×	NOUN
ejpam-5197	280	5	[	[	X
ejpam-5197	280	6	0	0	NUM
ejpam-5197	280	7	,	,	PUNCT
ejpam-5197	280	8	p	p	X
ejpam-5197	280	9	]	]	X
ejpam-5197	280	10	.	.	PUNCT
ejpam-5197	281	1	also	also	ADV
ejpam-5197	281	2	we	we	PRON
ejpam-5197	281	3	define	define	VERB
ejpam-5197	281	4	the	the	DET
ejpam-5197	281	5	erq	erq	NOUN
ejpam-5197	281	6	2	2	NUM
ejpam-5197	281	7	and	and	CCONJ
ejpam-5197	281	8	erq	erq	NOUN
ejpam-5197	281	9	∞	∞	NUM
ejpam-5197	281	10	errors	error	NOUN
ejpam-5197	281	11	of	of	ADP
ejpam-5197	281	12	approximations	approximation	NOUN
ejpam-5197	281	13	in	in	ADP
ejpam-5197	281	14	forms	form	NOUN
ejpam-5197	281	15	erq	erq	NOUN
ejpam-5197	281	16	2	2	NUM
ejpam-5197	281	17	=	=	SYM
ejpam-5197	281	18	(	(	PUNCT
ejpam-5197	281	19	q∑	q∑	PROPN
ejpam-5197	281	20	r=0	r=0	PROPN
ejpam-5197	281	21	q∑	q∑	PROPN
ejpam-5197	281	22	s=0	s=0	PROPN
ejpam-5197	281	23	|η(ζr	|η(ζr	PROPN
ejpam-5197	281	24	,	,	PUNCT
ejpam-5197	281	25	ιs)−	ιs)−	PUNCT
ejpam-5197	282	1	ηq(ζr	ηq(ζr	PROPN
ejpam-5197	282	2	,	,	PUNCT
ejpam-5197	282	3	ιs)|2	ιs)|2	PROPN
ejpam-5197	282	4	)	)	PUNCT
ejpam-5197	282	5	1	1	NUM
ejpam-5197	282	6	2	2	NUM
ejpam-5197	282	7	,	,	PUNCT
ejpam-5197	282	8	m.	m.	NOUN
ejpam-5197	282	9	ghovatmand	ghovatmand	NOUN
ejpam-5197	282	10	et	et	PROPN
ejpam-5197	282	11	al	al	PROPN
ejpam-5197	282	12	.	.	PUNCT
ejpam-5197	282	13	/	/	SYM
ejpam-5197	282	14	eur	eur	PROPN
ejpam-5197	282	15	.	.	PUNCT
ejpam-5197	283	1	j.	j.	PROPN
ejpam-5197	283	2	pure	pure	PROPN
ejpam-5197	283	3	appl	appl	PROPN
ejpam-5197	283	4	.	.	PROPN
ejpam-5197	283	5	math	math	PROPN
ejpam-5197	283	6	,	,	PUNCT
ejpam-5197	283	7	17	17	NUM
ejpam-5197	283	8	(	(	PUNCT
ejpam-5197	283	9	3	3	NUM
ejpam-5197	283	10	)	)	PUNCT
ejpam-5197	283	11	(	(	PUNCT
ejpam-5197	283	12	2024	2024	NUM
ejpam-5197	283	13	)	)	PUNCT
ejpam-5197	283	14	,	,	PUNCT
ejpam-5197	283	15	1565	1565	NUM
ejpam-5197	283	16	-	-	SYM
ejpam-5197	283	17	1584	1584	NUM
ejpam-5197	283	18	1575	1575	NUM
ejpam-5197	283	19	erq	erq	NOUN
ejpam-5197	283	20	max	max	PROPN
ejpam-5197	283	21	=	=	SYM
ejpam-5197	283	22	max{|η(ζr	max{|η(ζr	PROPN
ejpam-5197	283	23	,	,	PUNCT
ejpam-5197	283	24	ιs)−	ιs)−	PUNCT
ejpam-5197	284	1	ηq(ζr	ηq(ζr	PROPN
ejpam-5197	284	2	,	,	PUNCT
ejpam-5197	284	3	ιs)|	ιs)|	NOUN
ejpam-5197	284	4	:	:	PUNCT
ejpam-5197	284	5	r	r	X
ejpam-5197	284	6	,	,	PUNCT
ejpam-5197	284	7	s	s	NOUN
ejpam-5197	284	8	=	=	NOUN
ejpam-5197	284	9	0	0	NUM
ejpam-5197	284	10	,	,	PUNCT
ejpam-5197	284	11	1	1	NUM
ejpam-5197	284	12	,	,	PUNCT
ejpam-5197	284	13	·	·	PUNCT
ejpam-5197	284	14	·	·	PUNCT
ejpam-5197	284	15	·	·	PUNCT
ejpam-5197	284	16	,	,	PUNCT
ejpam-5197	284	17	q	q	NOUN
ejpam-5197	284	18	}	}	PUNCT
ejpam-5197	284	19	.	.	PUNCT
ejpam-5197	285	1	moreover	moreover	ADV
ejpam-5197	285	2	,	,	PUNCT
ejpam-5197	285	3	for	for	ADP
ejpam-5197	285	4	a	a	DET
ejpam-5197	285	5	given	give	VERB
ejpam-5197	285	6	time	time	NOUN
ejpam-5197	285	7	ζ	ζ	X
ejpam-5197	285	8	=	=	PUNCT
ejpam-5197	285	9	ζ̄	ζ̄	ADV
ejpam-5197	285	10	,	,	PUNCT
ejpam-5197	285	11	we	we	PRON
ejpam-5197	285	12	define	define	VERB
ejpam-5197	285	13	errors	error	NOUN
ejpam-5197	285	14	ēr	ēr	PROPN
ejpam-5197	285	15	q	q	PROPN
ejpam-5197	285	16	2	2	NUM
ejpam-5197	285	17	=	=	SYM
ejpam-5197	285	18	(	(	PUNCT
ejpam-5197	285	19	q∑	q∑	PROPN
ejpam-5197	285	20	s=0	s=0	PROPN
ejpam-5197	285	21	|η(ζ̄	|η(ζ̄	VERB
ejpam-5197	285	22	,	,	PUNCT
ejpam-5197	285	23	ιs)−	ιs)−	PUNCT
ejpam-5197	285	24	ηq(ζ̄	ηq(ζ̄	NUM
ejpam-5197	285	25	,	,	PUNCT
ejpam-5197	285	26	ιs)|2	ιs)|2	PROPN
ejpam-5197	285	27	)	)	PUNCT
ejpam-5197	285	28	1	1	NUM
ejpam-5197	285	29	2	2	NUM
ejpam-5197	285	30	,	,	PUNCT
ejpam-5197	285	31	ēr	ēr	PROPN
ejpam-5197	285	32	q	q	X
ejpam-5197	285	33	max	max	PROPN
ejpam-5197	285	34	=	=	SYM
ejpam-5197	285	35	max{|η(ζ̄	max{|η(ζ̄	PROPN
ejpam-5197	285	36	,	,	PUNCT
ejpam-5197	285	37	ιs)−	ιs)−	PUNCT
ejpam-5197	285	38	ηq(ζ̄	ηq(ζ̄	PROPN
ejpam-5197	285	39	,	,	PUNCT
ejpam-5197	285	40	ιs)|	ιs)|	X
ejpam-5197	285	41	:	:	PUNCT
ejpam-5197	285	42	s	s	X
ejpam-5197	285	43	=	=	SYM
ejpam-5197	285	44	0	0	NUM
ejpam-5197	285	45	,	,	PUNCT
ejpam-5197	285	46	1	1	NUM
ejpam-5197	285	47	,	,	PUNCT
ejpam-5197	285	48	·	·	PUNCT
ejpam-5197	285	49	·	·	PUNCT
ejpam-5197	285	50	·	·	PUNCT
ejpam-5197	285	51	,	,	PUNCT
ejpam-5197	285	52	q	q	ADJ
ejpam-5197	285	53	}	}	PUNCT
ejpam-5197	285	54	.	.	PUNCT
ejpam-5197	286	1	example	example	NOUN
ejpam-5197	287	1	1	1	NUM
ejpam-5197	287	2	.	.	PUNCT
ejpam-5197	287	3	let	let	VERB
ejpam-5197	287	4	the	the	DET
ejpam-5197	287	5	following	follow	VERB
ejpam-5197	287	6	drd	drd	NOUN
ejpam-5197	287	7	equation	equation	NOUN
ejpam-5197	287	8	ηζ(ζ	ηζ(ζ	NUM
ejpam-5197	287	9	,	,	PUNCT
ejpam-5197	287	10	ι	ι	PROPN
ejpam-5197	287	11	)	)	PUNCT
ejpam-5197	287	12	=	=	SYM
ejpam-5197	287	13	ηιι(ζ	ηιι(ζ	PROPN
ejpam-5197	287	14	,	,	PUNCT
ejpam-5197	287	15	ι	ι	X
ejpam-5197	287	16	)	)	PUNCT
ejpam-5197	287	17	+	+	CCONJ
ejpam-5197	287	18	η2(ζ	η2(ζ	PROPN
ejpam-5197	287	19	,	,	PUNCT
ejpam-5197	287	20	ι	ι	X
ejpam-5197	287	21	)	)	PUNCT
ejpam-5197	288	1	+	+	CCONJ
ejpam-5197	288	2	η(ζ	η(ζ	PROPN
ejpam-5197	288	3	−	−	PROPN
ejpam-5197	288	4	µ	µ	NUM
ejpam-5197	288	5	,	,	PUNCT
ejpam-5197	288	6	ι	ι	PROPN
ejpam-5197	288	7	)	)	PUNCT
ejpam-5197	288	8	+	+	CCONJ
ejpam-5197	289	1	f(ζ	f(ζ	PROPN
ejpam-5197	289	2	,	,	PUNCT
ejpam-5197	289	3	ι	ι	PROPN
ejpam-5197	289	4	)	)	PUNCT
ejpam-5197	289	5	,	,	PUNCT
ejpam-5197	289	6	(	(	PUNCT
ejpam-5197	289	7	ζ	ζ	X
ejpam-5197	289	8	,	,	PUNCT
ejpam-5197	289	9	ι	ι	NOUN
ejpam-5197	289	10	)	)	PUNCT
ejpam-5197	289	11	∈	∈	PROPN
ejpam-5197	290	1	[	[	X
ejpam-5197	290	2	0	0	NUM
ejpam-5197	290	3	,	,	PUNCT
ejpam-5197	290	4	1]×	1]×	NUM
ejpam-5197	290	5	[	[	X
ejpam-5197	290	6	0	0	NUM
ejpam-5197	290	7	,	,	PUNCT
ejpam-5197	290	8	1	1	NUM
ejpam-5197	290	9	]	]	PUNCT
ejpam-5197	290	10	,	,	PUNCT
ejpam-5197	290	11	(	(	PUNCT
ejpam-5197	290	12	38	38	NUM
ejpam-5197	290	13	)	)	PUNCT
ejpam-5197	290	14	with	with	ADP
ejpam-5197	290	15	the	the	DET
ejpam-5197	290	16	conditions	condition	NOUN
ejpam-5197	290	17			PRON
ejpam-5197	290	18	η(ζ	η(ζ	PROPN
ejpam-5197	290	19	,	,	PUNCT
ejpam-5197	290	20	ι	ι	PROPN
ejpam-5197	290	21	)	)	PUNCT
ejpam-5197	290	22	=	=	PUNCT
ejpam-5197	290	23	ζ2e2ι	ζ2e2ι	X
ejpam-5197	290	24	,	,	PUNCT
ejpam-5197	290	25	(	(	PUNCT
ejpam-5197	290	26	ζ	ζ	X
ejpam-5197	290	27	,	,	PUNCT
ejpam-5197	290	28	ι	ι	NOUN
ejpam-5197	290	29	)	)	PUNCT
ejpam-5197	290	30	∈	∈	PROPN
ejpam-5197	291	1	[	[	X
ejpam-5197	291	2	−µ	−µ	NOUN
ejpam-5197	291	3	,	,	PUNCT
ejpam-5197	291	4	0]×	0]×	PROPN
ejpam-5197	292	1	[	[	X
ejpam-5197	292	2	0	0	NUM
ejpam-5197	292	3	,	,	PUNCT
ejpam-5197	292	4	1	1	NUM
ejpam-5197	292	5	]	]	PUNCT
ejpam-5197	292	6	η(ζ	η(ζ	NOUN
ejpam-5197	292	7	,	,	PUNCT
ejpam-5197	292	8	0	0	NUM
ejpam-5197	292	9	)	)	PUNCT
ejpam-5197	292	10	=	=	NOUN
ejpam-5197	292	11	ζ2	ζ2	NOUN
ejpam-5197	292	12	,	,	PUNCT
ejpam-5197	292	13	ζ	ζ	NOUN
ejpam-5197	292	14	∈	∈	NOUN
ejpam-5197	293	1	[	[	X
ejpam-5197	293	2	0	0	NUM
ejpam-5197	293	3	,	,	PUNCT
ejpam-5197	293	4	1	1	NUM
ejpam-5197	293	5	]	]	PUNCT
ejpam-5197	293	6	,	,	PUNCT
ejpam-5197	293	7	η(ζ	η(ζ	PROPN
ejpam-5197	293	8	,	,	PUNCT
ejpam-5197	293	9	1	1	NUM
ejpam-5197	293	10	)	)	PUNCT
ejpam-5197	293	11	=	=	SYM
ejpam-5197	293	12	ζ2e2	ζ2e2	PROPN
ejpam-5197	293	13	,	,	PUNCT
ejpam-5197	293	14	ζ	ζ	NOUN
ejpam-5197	293	15	∈	∈	PROPN
ejpam-5197	294	1	[	[	X
ejpam-5197	294	2	0	0	NUM
ejpam-5197	294	3	,	,	PUNCT
ejpam-5197	294	4	1	1	NUM
ejpam-5197	294	5	]	]	PUNCT
ejpam-5197	294	6	,	,	PUNCT
ejpam-5197	294	7	(	(	PUNCT
ejpam-5197	294	8	39	39	NUM
ejpam-5197	294	9	)	)	PUNCT
ejpam-5197	295	1	where	where	SCONJ
ejpam-5197	295	2	µ	µ	X
ejpam-5197	295	3	=	=	SYM
ejpam-5197	295	4	0.5	0.5	NUM
ejpam-5197	295	5	and	and	CCONJ
ejpam-5197	295	6	f(ζ	f(ζ	PROPN
ejpam-5197	295	7	,	,	PUNCT
ejpam-5197	295	8	ι	ι	PROPN
ejpam-5197	295	9	)	)	PUNCT
ejpam-5197	295	10	=	=	SYM
ejpam-5197	295	11	2ζe2ι	2ζe2ι	NUM
ejpam-5197	295	12	−	−	NUM
ejpam-5197	295	13	4ζ2e2ι	4ζ2e2ι	NUM
ejpam-5197	295	14	−	−	NOUN
ejpam-5197	295	15	ζ4e4ι	ζ4e4ι	PUNCT
ejpam-5197	295	16	+	+	CCONJ
ejpam-5197	295	17	(	(	PUNCT
ejpam-5197	295	18	ζ	ζ	NOUN
ejpam-5197	295	19	−	−	NOUN
ejpam-5197	295	20	µ)2e2ι	µ)2e2ι	NUM
ejpam-5197	295	21	.	.	PUNCT
ejpam-5197	296	1	the	the	DET
ejpam-5197	296	2	exact	exact	ADJ
ejpam-5197	296	3	solution	solution	NOUN
ejpam-5197	296	4	of	of	ADP
ejpam-5197	296	5	this	this	DET
ejpam-5197	296	6	equation	equation	NOUN
ejpam-5197	296	7	is	be	AUX
ejpam-5197	296	8	η(ζ	η(ζ	PROPN
ejpam-5197	296	9	,	,	PUNCT
ejpam-5197	296	10	ι	ι	PRON
ejpam-5197	296	11	)	)	PUNCT
ejpam-5197	296	12	=	=	PUNCT
ejpam-5197	296	13	ζ2e2ι	ζ2e2ι	NUM
ejpam-5197	296	14	.	.	PUNCT
ejpam-5197	297	1	we	we	PRON
ejpam-5197	297	2	estimate	estimate	VERB
ejpam-5197	297	3	the	the	DET
ejpam-5197	297	4	solution	solution	NOUN
ejpam-5197	297	5	of	of	ADP
ejpam-5197	297	6	this	this	DET
ejpam-5197	297	7	system	system	NOUN
ejpam-5197	297	8	for	for	ADP
ejpam-5197	297	9	q	q	NOUN
ejpam-5197	297	10	=	=	SYM
ejpam-5197	297	11	8	8	NUM
ejpam-5197	297	12	by	by	ADP
ejpam-5197	297	13	the	the	DET
ejpam-5197	297	14	presented	present	VERB
ejpam-5197	297	15	method	method	NOUN
ejpam-5197	297	16	.	.	PUNCT
ejpam-5197	298	1	figure	figure	NOUN
ejpam-5197	298	2	1	1	NUM
ejpam-5197	298	3	shows	show	VERB
ejpam-5197	298	4	the	the	DET
ejpam-5197	298	5	results	result	NOUN
ejpam-5197	298	6	.	.	PUNCT
ejpam-5197	299	1	figure	figure	NOUN
ejpam-5197	299	2	2	2	NUM
ejpam-5197	299	3	illustrates	illustrate	VERB
ejpam-5197	299	4	the	the	DET
ejpam-5197	299	5	estimate	estimate	NOUN
ejpam-5197	299	6	errors	error	NOUN
ejpam-5197	299	7	.	.	PUNCT
ejpam-5197	300	1	it	it	PRON
ejpam-5197	300	2	can	can	AUX
ejpam-5197	300	3	be	be	AUX
ejpam-5197	300	4	seen	see	VERB
ejpam-5197	300	5	that	that	SCONJ
ejpam-5197	300	6	the	the	DET
ejpam-5197	300	7	errors	error	NOUN
ejpam-5197	300	8	goes	go	VERB
ejpam-5197	300	9	to	to	ADP
ejpam-5197	300	10	zero	zero	NUM
ejpam-5197	300	11	when	when	SCONJ
ejpam-5197	300	12	q	q	ADJ
ejpam-5197	300	13	increases	increase	NOUN
ejpam-5197	300	14	.	.	PUNCT
ejpam-5197	301	1	example	example	NOUN
ejpam-5197	301	2	2	2	NUM
ejpam-5197	301	3	.	.	PUNCT
ejpam-5197	302	1	let	let	VERB
ejpam-5197	302	2	the	the	DET
ejpam-5197	302	3	following	follow	VERB
ejpam-5197	302	4	drd	drd	NOUN
ejpam-5197	302	5	equation	equation	NOUN
ejpam-5197	302	6	ηt(ζ	ηt(ζ	NOUN
ejpam-5197	302	7	,	,	PUNCT
ejpam-5197	302	8	ι	ι	PRON
ejpam-5197	302	9	)	)	PUNCT
ejpam-5197	302	10	=	=	SYM
ejpam-5197	302	11	ηιι(ζ	ηιι(ζ	PROPN
ejpam-5197	302	12	,	,	PUNCT
ejpam-5197	302	13	ι	ι	X
ejpam-5197	302	14	)	)	PUNCT
ejpam-5197	303	1	+	+	CCONJ
ejpam-5197	303	2	η(ζ	η(ζ	PROPN
ejpam-5197	303	3	,	,	PUNCT
ejpam-5197	303	4	ι)−	ι)−	NOUN
ejpam-5197	303	5	e−µη(ζ	e−µη(ζ	PRON
ejpam-5197	303	6	−	−	PROPN
ejpam-5197	303	7	µ	µ	NUM
ejpam-5197	303	8	)	)	PUNCT
ejpam-5197	303	9	,	,	PUNCT
ejpam-5197	303	10	(	(	PUNCT
ejpam-5197	303	11	ζ	ζ	X
ejpam-5197	303	12	,	,	PUNCT
ejpam-5197	303	13	ι	ι	NOUN
ejpam-5197	303	14	)	)	PUNCT
ejpam-5197	303	15	∈	∈	PROPN
ejpam-5197	304	1	[	[	X
ejpam-5197	304	2	0	0	NUM
ejpam-5197	304	3	,	,	PUNCT
ejpam-5197	304	4	2]×	2]×	NUM
ejpam-5197	305	1	[	[	X
ejpam-5197	305	2	0	0	NUM
ejpam-5197	305	3	,	,	PUNCT
ejpam-5197	305	4	π	π	NOUN
ejpam-5197	305	5	]	]	X
ejpam-5197	305	6	,	,	PUNCT
ejpam-5197	305	7	(	(	PUNCT
ejpam-5197	305	8	40	40	NUM
ejpam-5197	305	9	)	)	PUNCT
ejpam-5197	305	10	with	with	ADP
ejpam-5197	305	11	the	the	DET
ejpam-5197	305	12	conditions	condition	NOUN
ejpam-5197	305	13			PRON
ejpam-5197	305	14	η(ζ	η(ζ	PROPN
ejpam-5197	305	15	,	,	PUNCT
ejpam-5197	305	16	ι	ι	PROPN
ejpam-5197	305	17	)	)	PUNCT
ejpam-5197	305	18	=	=	SYM
ejpam-5197	305	19	e−ζsinι	e−ζsinι	PROPN
ejpam-5197	305	20	,	,	PUNCT
ejpam-5197	305	21	(	(	PUNCT
ejpam-5197	305	22	ζ	ζ	X
ejpam-5197	305	23	,	,	PUNCT
ejpam-5197	305	24	ι	ι	NOUN
ejpam-5197	305	25	)	)	PUNCT
ejpam-5197	305	26	∈	∈	PROPN
ejpam-5197	306	1	[	[	X
ejpam-5197	306	2	−µ	−µ	NOUN
ejpam-5197	306	3	,	,	PUNCT
ejpam-5197	306	4	0]×	0]×	PROPN
ejpam-5197	307	1	[	[	X
ejpam-5197	307	2	0	0	NUM
ejpam-5197	307	3	,	,	PUNCT
ejpam-5197	307	4	π	π	NOUN
ejpam-5197	307	5	]	]	X
ejpam-5197	307	6	,	,	PUNCT
ejpam-5197	307	7	η(ζ	η(ζ	PROPN
ejpam-5197	307	8	,	,	PUNCT
ejpam-5197	307	9	0	0	NUM
ejpam-5197	307	10	)	)	PUNCT
ejpam-5197	307	11	=	=	SYM
ejpam-5197	307	12	0	0	NUM
ejpam-5197	307	13	,	,	PUNCT
ejpam-5197	307	14	ζ	ζ	PROPN
ejpam-5197	307	15	∈	∈	NOUN
ejpam-5197	308	1	[	[	X
ejpam-5197	308	2	0	0	NUM
ejpam-5197	308	3	,	,	PUNCT
ejpam-5197	308	4	2	2	NUM
ejpam-5197	308	5	]	]	PUNCT
ejpam-5197	308	6	,	,	PUNCT
ejpam-5197	308	7	η(ζ	η(ζ	PROPN
ejpam-5197	308	8	,	,	PUNCT
ejpam-5197	308	9	π	π	NOUN
ejpam-5197	308	10	)	)	PUNCT
ejpam-5197	308	11	=	=	SYM
ejpam-5197	308	12	0	0	NUM
ejpam-5197	308	13	,	,	PUNCT
ejpam-5197	308	14	ζ	ζ	PROPN
ejpam-5197	308	15	∈	∈	NOUN
ejpam-5197	309	1	[	[	X
ejpam-5197	309	2	0	0	NUM
ejpam-5197	309	3	,	,	PUNCT
ejpam-5197	309	4	2	2	NUM
ejpam-5197	309	5	]	]	PUNCT
ejpam-5197	309	6	,	,	PUNCT
ejpam-5197	309	7	(	(	PUNCT
ejpam-5197	309	8	41	41	NUM
ejpam-5197	309	9	)	)	PUNCT
ejpam-5197	309	10	where	where	SCONJ
ejpam-5197	309	11	µ	µ	X
ejpam-5197	309	12	=	=	SYM
ejpam-5197	309	13	1	1	X
ejpam-5197	309	14	.	.	PUNCT
ejpam-5197	310	1	the	the	DET
ejpam-5197	310	2	exact	exact	ADJ
ejpam-5197	310	3	solution	solution	NOUN
ejpam-5197	310	4	is	be	AUX
ejpam-5197	310	5	η(ζ	η(ζ	PROPN
ejpam-5197	310	6	,	,	PUNCT
ejpam-5197	310	7	ι	ι	PRON
ejpam-5197	310	8	)	)	PUNCT
ejpam-5197	310	9	=	=	SYM
ejpam-5197	310	10	e−ζsinι	e−ζsinι	X
ejpam-5197	310	11	.	.	PUNCT
ejpam-5197	311	1	we	we	PRON
ejpam-5197	311	2	present	present	VERB
ejpam-5197	311	3	the	the	DET
ejpam-5197	311	4	gained	gain	VERB
ejpam-5197	311	5	results	result	NOUN
ejpam-5197	311	6	for	for	ADP
ejpam-5197	311	7	q	q	NOUN
ejpam-5197	311	8	=	=	SYM
ejpam-5197	311	9	10	10	NUM
ejpam-5197	311	10	in	in	ADP
ejpam-5197	311	11	figure	figure	NOUN
ejpam-5197	311	12	3	3	NUM
ejpam-5197	311	13	.	.	PUNCT
ejpam-5197	312	1	the	the	DET
ejpam-5197	312	2	logarithm	logarithm	NOUN
ejpam-5197	312	3	of	of	ADP
ejpam-5197	312	4	erq	erq	PROPN
ejpam-5197	312	5	2	2	NUM
ejpam-5197	312	6	and	and	CCONJ
ejpam-5197	312	7	erq	erq	PROPN
ejpam-5197	312	8	max	max	PROPN
ejpam-5197	312	9	for	for	ADP
ejpam-5197	312	10	q	q	NOUN
ejpam-5197	312	11	=	=	SYM
ejpam-5197	312	12	10	10	NUM
ejpam-5197	312	13	are	be	AUX
ejpam-5197	312	14	presented	present	VERB
ejpam-5197	312	15	in	in	ADP
ejpam-5197	312	16	figure	figure	NOUN
ejpam-5197	312	17	4	4	NUM
ejpam-5197	312	18	.	.	PUNCT
ejpam-5197	313	1	we	we	PRON
ejpam-5197	313	2	can	can	AUX
ejpam-5197	313	3	see	see	VERB
ejpam-5197	313	4	that	that	SCONJ
ejpam-5197	313	5	the	the	DET
ejpam-5197	313	6	errors	error	NOUN
ejpam-5197	313	7	converge	converge	VERB
ejpam-5197	313	8	to	to	ADP
ejpam-5197	313	9	zero	zero	NUM
ejpam-5197	313	10	by	by	ADP
ejpam-5197	313	11	increasing	increase	VERB
ejpam-5197	313	12	q.	q.	NOUN
ejpam-5197	313	13	also	also	ADV
ejpam-5197	313	14	table	table	VERB
ejpam-5197	313	15	1	1	NUM
ejpam-5197	313	16	shows	show	VERB
ejpam-5197	313	17	the	the	DET
ejpam-5197	313	18	compared	compare	VERB
ejpam-5197	313	19	results	result	NOUN
ejpam-5197	313	20	and	and	CCONJ
ejpam-5197	313	21	superiority	superiority	NOUN
ejpam-5197	313	22	of	of	ADP
ejpam-5197	313	23	our	our	PRON
ejpam-5197	313	24	method	method	NOUN
ejpam-5197	313	25	with	with	ADP
ejpam-5197	313	26	respect	respect	NOUN
ejpam-5197	313	27	to	to	ADP
ejpam-5197	313	28	the	the	DET
ejpam-5197	313	29	compact	compact	ADJ
ejpam-5197	313	30	finite	finite	ADJ
ejpam-5197	313	31	difference	difference	NOUN
ejpam-5197	313	32	method	method	NOUN
ejpam-5197	313	33	[	[	X
ejpam-5197	313	34	15	15	NUM
ejpam-5197	313	35	]	]	PUNCT
ejpam-5197	313	36	.	.	PUNCT
ejpam-5197	314	1	m.	m.	NOUN
ejpam-5197	314	2	ghovatmand	ghovatmand	PROPN
ejpam-5197	314	3	et	et	PROPN
ejpam-5197	314	4	al	al	PROPN
ejpam-5197	314	5	.	.	PUNCT
ejpam-5197	314	6	/	/	SYM
ejpam-5197	314	7	eur	eur	PROPN
ejpam-5197	314	8	.	.	PUNCT
ejpam-5197	315	1	j.	j.	PROPN
ejpam-5197	315	2	pure	pure	PROPN
ejpam-5197	315	3	appl	appl	PROPN
ejpam-5197	315	4	.	.	PROPN
ejpam-5197	315	5	math	math	PROPN
ejpam-5197	315	6	,	,	PUNCT
ejpam-5197	315	7	17	17	NUM
ejpam-5197	315	8	(	(	PUNCT
ejpam-5197	315	9	3	3	NUM
ejpam-5197	315	10	)	)	PUNCT
ejpam-5197	315	11	(	(	PUNCT
ejpam-5197	315	12	2024	2024	NUM
ejpam-5197	315	13	)	)	PUNCT
ejpam-5197	315	14	,	,	PUNCT
ejpam-5197	315	15	1565	1565	NUM
ejpam-5197	315	16	-	-	SYM
ejpam-5197	315	17	1584	1584	NUM
ejpam-5197	315	18	1576	1576	NUM
ejpam-5197	315	19	example	example	NOUN
ejpam-5197	315	20	3	3	NUM
ejpam-5197	315	21	.	.	PUNCT
ejpam-5197	316	1	let	let	VERB
ejpam-5197	316	2	the	the	DET
ejpam-5197	316	3	following	follow	VERB
ejpam-5197	316	4	drd	drd	NOUN
ejpam-5197	316	5	equation	equation	NOUN
ejpam-5197	316	6	ηζ(ζ	ηζ(ζ	NUM
ejpam-5197	316	7	,	,	PUNCT
ejpam-5197	316	8	ι	ι	PROPN
ejpam-5197	316	9	)	)	PUNCT
ejpam-5197	316	10	=	=	SYM
ejpam-5197	316	11	ηιι(ζ	ηιι(ζ	PROPN
ejpam-5197	316	12	,	,	PUNCT
ejpam-5197	316	13	ι	ι	X
ejpam-5197	316	14	)	)	PUNCT
ejpam-5197	317	1	+	+	CCONJ
ejpam-5197	317	2	2η(ζ	2η(ζ	NUM
ejpam-5197	317	3	,	,	PUNCT
ejpam-5197	317	4	ι	ι	NOUN
ejpam-5197	317	5	)	)	PUNCT
ejpam-5197	318	1	+	+	CCONJ
ejpam-5197	318	2	η(ζ	η(ζ	PROPN
ejpam-5197	318	3	−	−	PROPN
ejpam-5197	318	4	µ	µ	NUM
ejpam-5197	318	5	,	,	PUNCT
ejpam-5197	318	6	ι	ι	PROPN
ejpam-5197	318	7	)	)	PUNCT
ejpam-5197	318	8	1	1	NUM
ejpam-5197	319	1	+	+	CCONJ
ejpam-5197	319	2	η2(ζ	η2(ζ	VERB
ejpam-5197	319	3	−	−	PROPN
ejpam-5197	319	4	µ	µ	PROPN
ejpam-5197	319	5	,	,	PUNCT
ejpam-5197	319	6	ι	ι	PROPN
ejpam-5197	319	7	)	)	PUNCT
ejpam-5197	319	8	+	+	CCONJ
ejpam-5197	320	1	f(ζ	f(ζ	PROPN
ejpam-5197	320	2	,	,	PUNCT
ejpam-5197	320	3	ι	ι	PROPN
ejpam-5197	320	4	)	)	PUNCT
ejpam-5197	320	5	,	,	PUNCT
ejpam-5197	320	6	(	(	PUNCT
ejpam-5197	320	7	ζ	ζ	X
ejpam-5197	320	8	,	,	PUNCT
ejpam-5197	320	9	ι	ι	NOUN
ejpam-5197	320	10	)	)	PUNCT
ejpam-5197	320	11	∈	∈	PROPN
ejpam-5197	321	1	[	[	X
ejpam-5197	321	2	0	0	NUM
ejpam-5197	321	3	,	,	PUNCT
ejpam-5197	321	4	0.5]×	0.5]×	NOUN
ejpam-5197	322	1	[	[	X
ejpam-5197	322	2	0	0	NUM
ejpam-5197	322	3	,	,	PUNCT
ejpam-5197	322	4	2π	2π	NOUN
ejpam-5197	322	5	]	]	PUNCT
ejpam-5197	322	6	,	,	PUNCT
ejpam-5197	322	7	(	(	PUNCT
ejpam-5197	322	8	42	42	NUM
ejpam-5197	322	9	)	)	PUNCT
ejpam-5197	322	10	with	with	ADP
ejpam-5197	322	11	the	the	DET
ejpam-5197	322	12	conditions	condition	NOUN
ejpam-5197	322	13			PRON
ejpam-5197	322	14	η(ζ	η(ζ	PROPN
ejpam-5197	322	15	,	,	PUNCT
ejpam-5197	322	16	ι	ι	PROPN
ejpam-5197	322	17	)	)	PUNCT
ejpam-5197	322	18	=	=	SYM
ejpam-5197	322	19	e−ζsinι	e−ζsinι	PROPN
ejpam-5197	322	20	,	,	PUNCT
ejpam-5197	322	21	(	(	PUNCT
ejpam-5197	322	22	ζ	ζ	X
ejpam-5197	322	23	,	,	PUNCT
ejpam-5197	322	24	ι	ι	NOUN
ejpam-5197	322	25	)	)	PUNCT
ejpam-5197	322	26	∈	∈	PROPN
ejpam-5197	323	1	[	[	X
ejpam-5197	323	2	−µ	−µ	NOUN
ejpam-5197	323	3	,	,	PUNCT
ejpam-5197	323	4	0]×	0]×	PROPN
ejpam-5197	324	1	[	[	X
ejpam-5197	324	2	0	0	NUM
ejpam-5197	324	3	,	,	PUNCT
ejpam-5197	324	4	2π	2π	NOUN
ejpam-5197	324	5	]	]	X
ejpam-5197	324	6	,	,	PUNCT
ejpam-5197	324	7	η(ζ	η(ζ	PROPN
ejpam-5197	324	8	,	,	PUNCT
ejpam-5197	324	9	0	0	NUM
ejpam-5197	324	10	)	)	PUNCT
ejpam-5197	324	11	=	=	SYM
ejpam-5197	324	12	0	0	NUM
ejpam-5197	324	13	,	,	PUNCT
ejpam-5197	324	14	ζ	ζ	PROPN
ejpam-5197	324	15	∈	∈	PROPN
ejpam-5197	325	1	[	[	X
ejpam-5197	325	2	0	0	NUM
ejpam-5197	325	3	,	,	PUNCT
ejpam-5197	325	4	0.5	0.5	NUM
ejpam-5197	325	5	]	]	PUNCT
ejpam-5197	325	6	,	,	PUNCT
ejpam-5197	325	7	η(ζ	η(ζ	PROPN
ejpam-5197	325	8	,	,	PUNCT
ejpam-5197	325	9	2π	2π	NOUN
ejpam-5197	325	10	)	)	PUNCT
ejpam-5197	325	11	=	=	SYM
ejpam-5197	325	12	0	0	NUM
ejpam-5197	325	13	,	,	PUNCT
ejpam-5197	325	14	ζ	ζ	PROPN
ejpam-5197	325	15	∈	∈	PROPN
ejpam-5197	326	1	[	[	X
ejpam-5197	326	2	0	0	NUM
ejpam-5197	326	3	,	,	PUNCT
ejpam-5197	326	4	0.5	0.5	NUM
ejpam-5197	326	5	]	]	PUNCT
ejpam-5197	326	6	,	,	PUNCT
ejpam-5197	326	7	(	(	PUNCT
ejpam-5197	326	8	43	43	NUM
ejpam-5197	326	9	)	)	PUNCT
ejpam-5197	326	10	where	where	SCONJ
ejpam-5197	326	11	µ	µ	X
ejpam-5197	326	12	=	=	SYM
ejpam-5197	326	13	0.1	0.1	NUM
ejpam-5197	326	14	and	and	CCONJ
ejpam-5197	326	15	f(ζ	f(ζ	PROPN
ejpam-5197	326	16	,	,	PUNCT
ejpam-5197	326	17	ι	ι	PROPN
ejpam-5197	326	18	)	)	PUNCT
ejpam-5197	326	19	=	=	SYM
ejpam-5197	326	20	2e−ζsinι−	2e−ζsinι−	NUM
ejpam-5197	326	21	e−(ζ−µ)sinι	e−(ζ−µ)sinι	NUM
ejpam-5197	326	22	1	1	NUM
ejpam-5197	326	23	+	+	CCONJ
ejpam-5197	326	24	e−2(ζ−µ)sin2ι	e−2(ζ−µ)sin2ι	PROPN
ejpam-5197	326	25	.	.	PUNCT
ejpam-5197	327	1	here	here	ADV
ejpam-5197	327	2	,	,	PUNCT
ejpam-5197	327	3	function	function	VERB
ejpam-5197	327	4	η(ζ	η(ζ	PROPN
ejpam-5197	327	5	,	,	PUNCT
ejpam-5197	327	6	ι	ι	PROPN
ejpam-5197	327	7	)	)	PUNCT
ejpam-5197	327	8	=	=	SYM
ejpam-5197	328	1	e−ζsinι	e−ζsinι	PROPN
ejpam-5197	328	2	is	be	AUX
ejpam-5197	328	3	the	the	DET
ejpam-5197	328	4	exact	exact	ADJ
ejpam-5197	328	5	solution	solution	NOUN
ejpam-5197	328	6	.	.	PUNCT
ejpam-5197	329	1	we	we	PRON
ejpam-5197	329	2	approximate	approximate	VERB
ejpam-5197	329	3	the	the	DET
ejpam-5197	329	4	solution	solution	NOUN
ejpam-5197	329	5	for	for	ADP
ejpam-5197	329	6	q	q	NOUN
ejpam-5197	329	7	=	=	SYM
ejpam-5197	329	8	10	10	NUM
ejpam-5197	329	9	by	by	ADP
ejpam-5197	329	10	the	the	DET
ejpam-5197	329	11	presented	present	VERB
ejpam-5197	329	12	method	method	NOUN
ejpam-5197	329	13	and	and	CCONJ
ejpam-5197	329	14	show	show	VERB
ejpam-5197	329	15	the	the	DET
ejpam-5197	329	16	estimated	estimate	VERB
ejpam-5197	329	17	solution	solution	NOUN
ejpam-5197	329	18	and	and	CCONJ
ejpam-5197	329	19	its	its	PRON
ejpam-5197	329	20	absolute	absolute	ADJ
ejpam-5197	329	21	error	error	NOUN
ejpam-5197	329	22	in	in	ADP
ejpam-5197	329	23	figure	figure	NOUN
ejpam-5197	329	24	5	5	NUM
ejpam-5197	329	25	.	.	PUNCT
ejpam-5197	329	26	figure	figure	NOUN
ejpam-5197	329	27	6	6	NUM
ejpam-5197	329	28	illustrates	illustrate	VERB
ejpam-5197	329	29	the	the	DET
ejpam-5197	329	30	estimate	estimate	NOUN
ejpam-5197	329	31	errors	error	NOUN
ejpam-5197	329	32	.	.	PUNCT
ejpam-5197	330	1	also	also	ADV
ejpam-5197	330	2	,	,	PUNCT
ejpam-5197	330	3	we	we	PRON
ejpam-5197	330	4	compare	compare	VERB
ejpam-5197	330	5	the	the	DET
ejpam-5197	330	6	errors	error	NOUN
ejpam-5197	330	7	erq	erq	PROPN
ejpam-5197	330	8	max	max	PROPN
ejpam-5197	330	9	and	and	CCONJ
ejpam-5197	330	10	erq	erq	NOUN
ejpam-5197	330	11	2	2	NUM
ejpam-5197	330	12	at	at	ADP
ejpam-5197	330	13	ζ	ζ	NOUN
ejpam-5197	330	14	=	=	SYM
ejpam-5197	330	15	0.5	0.5	NUM
ejpam-5197	330	16	for	for	ADP
ejpam-5197	330	17	presented	present	VERB
ejpam-5197	330	18	method	method	NOUN
ejpam-5197	330	19	with	with	ADP
ejpam-5197	330	20	those	those	PRON
ejpam-5197	330	21	of	of	ADP
ejpam-5197	330	22	compact	compact	ADJ
ejpam-5197	330	23	finite	finite	ADJ
ejpam-5197	330	24	difference	difference	NOUN
ejpam-5197	330	25	method	method	NOUN
ejpam-5197	330	26	[	[	X
ejpam-5197	330	27	16	16	NUM
ejpam-5197	330	28	]	]	X
ejpam-5197	330	29	,	,	PUNCT
ejpam-5197	330	30	that	that	PRON
ejpam-5197	330	31	are	be	AUX
ejpam-5197	330	32	told	tell	VERB
ejpam-5197	330	33	in	in	ADP
ejpam-5197	330	34	table	table	NOUN
ejpam-5197	330	35	2	2	NUM
ejpam-5197	330	36	.	.	PUNCT
ejpam-5197	331	1	the	the	DET
ejpam-5197	331	2	result	result	NOUN
ejpam-5197	331	3	in	in	ADP
ejpam-5197	331	4	table	table	NOUN
ejpam-5197	331	5	2	2	NUM
ejpam-5197	331	6	presents	present	NOUN
ejpam-5197	331	7	that	that	PRON
ejpam-5197	331	8	the	the	DET
ejpam-5197	331	9	error	error	NOUN
ejpam-5197	331	10	of	of	ADP
ejpam-5197	331	11	presented	present	VERB
ejpam-5197	331	12	method	method	NOUN
ejpam-5197	331	13	is	be	AUX
ejpam-5197	331	14	less	less	ADJ
ejpam-5197	331	15	than	than	ADP
ejpam-5197	331	16	that	that	PRON
ejpam-5197	331	17	of	of	ADP
ejpam-5197	331	18	the	the	DET
ejpam-5197	331	19	method	method	NOUN
ejpam-5197	331	20	[	[	X
ejpam-5197	331	21	16	16	NUM
ejpam-5197	331	22	]	]	PUNCT
ejpam-5197	331	23	.	.	PUNCT
ejpam-5197	332	1	example	example	NOUN
ejpam-5197	332	2	4	4	X
ejpam-5197	332	3	.	.	PUNCT
ejpam-5197	333	1	assume	assume	VERB
ejpam-5197	333	2	the	the	DET
ejpam-5197	333	3	following	follow	VERB
ejpam-5197	333	4	drd	drd	NOUN
ejpam-5197	333	5	equation	equation	NOUN
ejpam-5197	333	6	ηζ(ζ	ηζ(ζ	NUM
ejpam-5197	333	7	,	,	PUNCT
ejpam-5197	333	8	ι	ι	PROPN
ejpam-5197	333	9	)	)	PUNCT
ejpam-5197	333	10	=	=	SYM
ejpam-5197	333	11	ηιι(ζ	ηιι(ζ	PROPN
ejpam-5197	333	12	,	,	PUNCT
ejpam-5197	333	13	ι	ι	X
ejpam-5197	333	14	)	)	PUNCT
ejpam-5197	333	15	+	+	CCONJ
ejpam-5197	333	16	π2η	π2η	PUNCT
ejpam-5197	333	17	+	+	ADJ
ejpam-5197	333	18	η(ζ	η(ζ	PROPN
ejpam-5197	333	19	−	−	PROPN
ejpam-5197	333	20	µ	µ	NUM
ejpam-5197	333	21	,	,	PUNCT
ejpam-5197	333	22	ι	ι	PROPN
ejpam-5197	333	23	)	)	PUNCT
ejpam-5197	333	24	+	+	CCONJ
ejpam-5197	333	25	f(ζ	f(ζ	PROPN
ejpam-5197	333	26	,	,	PUNCT
ejpam-5197	333	27	ι	ι	PROPN
ejpam-5197	333	28	)	)	PUNCT
ejpam-5197	333	29	,	,	PUNCT
ejpam-5197	333	30	(	(	PUNCT
ejpam-5197	333	31	44	44	NUM
ejpam-5197	333	32	)	)	PUNCT
ejpam-5197	333	33	with	with	ADP
ejpam-5197	333	34	the	the	DET
ejpam-5197	333	35	conditions	condition	NOUN
ejpam-5197	333	36			PRON
ejpam-5197	333	37	η(ζ	η(ζ	PROPN
ejpam-5197	333	38	,	,	PUNCT
ejpam-5197	333	39	ι	ι	PRON
ejpam-5197	333	40	)	)	PUNCT
ejpam-5197	333	41	=	=	SYM
ejpam-5197	333	42	e−ζ2sin(πι	e−ζ2sin(πι	PROPN
ejpam-5197	333	43	)	)	PUNCT
ejpam-5197	333	44	,	,	PUNCT
ejpam-5197	333	45	(	(	PUNCT
ejpam-5197	333	46	ζ	ζ	X
ejpam-5197	333	47	,	,	PUNCT
ejpam-5197	333	48	ι	ι	NOUN
ejpam-5197	333	49	)	)	PUNCT
ejpam-5197	333	50	∈	∈	PROPN
ejpam-5197	334	1	[	[	X
ejpam-5197	334	2	−µ	−µ	NOUN
ejpam-5197	334	3	,	,	PUNCT
ejpam-5197	334	4	0]×	0]×	PROPN
ejpam-5197	335	1	[	[	X
ejpam-5197	335	2	0	0	NUM
ejpam-5197	335	3	,	,	PUNCT
ejpam-5197	335	4	1	1	NUM
ejpam-5197	335	5	]	]	PUNCT
ejpam-5197	335	6	,	,	PUNCT
ejpam-5197	335	7	η(ζ	η(ζ	PROPN
ejpam-5197	335	8	,	,	PUNCT
ejpam-5197	335	9	0	0	NUM
ejpam-5197	335	10	)	)	PUNCT
ejpam-5197	335	11	=	=	SYM
ejpam-5197	335	12	0	0	NUM
ejpam-5197	335	13	,	,	PUNCT
ejpam-5197	335	14	ζ	ζ	PROPN
ejpam-5197	335	15	∈	∈	NOUN
ejpam-5197	336	1	[	[	X
ejpam-5197	336	2	0	0	NUM
ejpam-5197	336	3	,	,	PUNCT
ejpam-5197	336	4	1	1	NUM
ejpam-5197	336	5	]	]	PUNCT
ejpam-5197	336	6	,	,	PUNCT
ejpam-5197	336	7	η(ζ	η(ζ	PROPN
ejpam-5197	336	8	,	,	PUNCT
ejpam-5197	336	9	1	1	X
ejpam-5197	336	10	)	)	PUNCT
ejpam-5197	336	11	=	=	SYM
ejpam-5197	336	12	0	0	NUM
ejpam-5197	336	13	,	,	PUNCT
ejpam-5197	336	14	ζ	ζ	PROPN
ejpam-5197	336	15	∈	∈	NOUN
ejpam-5197	337	1	[	[	X
ejpam-5197	337	2	0	0	NUM
ejpam-5197	337	3	,	,	PUNCT
ejpam-5197	337	4	1	1	NUM
ejpam-5197	337	5	]	]	PUNCT
ejpam-5197	337	6	,	,	PUNCT
ejpam-5197	337	7	(	(	PUNCT
ejpam-5197	337	8	45	45	NUM
ejpam-5197	337	9	)	)	PUNCT
ejpam-5197	338	1	where	where	SCONJ
ejpam-5197	338	2	µ	µ	X
ejpam-5197	338	3	=	=	SYM
ejpam-5197	338	4	0.5	0.5	NUM
ejpam-5197	338	5	and	and	CCONJ
ejpam-5197	338	6	f(ζ	f(ζ	PROPN
ejpam-5197	338	7	,	,	PUNCT
ejpam-5197	338	8	ι	ι	PROPN
ejpam-5197	338	9	)	)	PUNCT
ejpam-5197	338	10	=	=	SYM
ejpam-5197	338	11	−2ζe−ζ2sin(πι)−	−2ζe−ζ2sin(πι)−	X
ejpam-5197	338	12	e−(ζ−µ)2sin(πι	e−(ζ−µ)2sin(πι	PROPN
ejpam-5197	338	13	)	)	PUNCT
ejpam-5197	338	14	,	,	PUNCT
ejpam-5197	338	15	function	function	VERB
ejpam-5197	338	16	η(ζ	η(ζ	PROPN
ejpam-5197	338	17	,	,	PUNCT
ejpam-5197	338	18	ι	ι	PRON
ejpam-5197	338	19	)	)	PUNCT
ejpam-5197	338	20	=	=	SYM
ejpam-5197	338	21	e−ζ2sin(πι	e−ζ2sin(πι	PROPN
ejpam-5197	338	22	)	)	PUNCT
ejpam-5197	338	23	is	be	AUX
ejpam-5197	338	24	the	the	DET
ejpam-5197	338	25	exact	exact	ADJ
ejpam-5197	338	26	solution	solution	NOUN
ejpam-5197	338	27	.	.	PUNCT
ejpam-5197	339	1	we	we	PRON
ejpam-5197	339	2	show	show	VERB
ejpam-5197	339	3	the	the	DET
ejpam-5197	339	4	results	result	NOUN
ejpam-5197	339	5	for	for	ADP
ejpam-5197	339	6	q	q	NOUN
ejpam-5197	339	7	=	=	SYM
ejpam-5197	339	8	10	10	NUM
ejpam-5197	339	9	in	in	ADP
ejpam-5197	339	10	figure	figure	NOUN
ejpam-5197	339	11	7	7	NUM
ejpam-5197	339	12	.	.	PUNCT
ejpam-5197	340	1	moreover	moreover	ADV
ejpam-5197	340	2	,	,	PUNCT
ejpam-5197	340	3	the	the	DET
ejpam-5197	340	4	logarithm	logarithm	NOUN
ejpam-5197	340	5	of	of	ADP
ejpam-5197	340	6	errors	error	NOUN
ejpam-5197	340	7	erq	erq	NOUN
ejpam-5197	340	8	2	2	NUM
ejpam-5197	340	9	and	and	CCONJ
ejpam-5197	340	10	erq	erq	NOUN
ejpam-5197	340	11	max	max	PROPN
ejpam-5197	340	12	of	of	ADP
ejpam-5197	340	13	estimate	estimate	NOUN
ejpam-5197	340	14	solutions	solution	NOUN
ejpam-5197	340	15	are	be	AUX
ejpam-5197	340	16	presented	present	VERB
ejpam-5197	340	17	in	in	ADP
ejpam-5197	340	18	figure	figure	NOUN
ejpam-5197	340	19	8	8	NUM
ejpam-5197	340	20	,	,	PUNCT
ejpam-5197	340	21	which	which	PRON
ejpam-5197	340	22	tends	tend	VERB
ejpam-5197	340	23	to	to	ADP
ejpam-5197	340	24	zero	zero	NUM
ejpam-5197	340	25	by	by	ADP
ejpam-5197	340	26	increasing	increase	VERB
ejpam-5197	340	27	q.	q.	PROPN
ejpam-5197	340	28	m.	m.	PROPN
ejpam-5197	340	29	ghovatmand	ghovatmand	PROPN
ejpam-5197	340	30	et	et	PROPN
ejpam-5197	340	31	al	al	PROPN
ejpam-5197	340	32	.	.	PUNCT
ejpam-5197	340	33	/	/	SYM
ejpam-5197	340	34	eur	eur	PROPN
ejpam-5197	340	35	.	.	PUNCT
ejpam-5197	341	1	j.	j.	PROPN
ejpam-5197	341	2	pure	pure	PROPN
ejpam-5197	341	3	appl	appl	PROPN
ejpam-5197	341	4	.	.	PROPN
ejpam-5197	341	5	math	math	PROPN
ejpam-5197	341	6	,	,	PUNCT
ejpam-5197	341	7	17	17	NUM
ejpam-5197	341	8	(	(	PUNCT
ejpam-5197	341	9	3	3	NUM
ejpam-5197	341	10	)	)	PUNCT
ejpam-5197	341	11	(	(	PUNCT
ejpam-5197	341	12	2024	2024	NUM
ejpam-5197	341	13	)	)	PUNCT
ejpam-5197	341	14	,	,	PUNCT
ejpam-5197	341	15	1565	1565	NUM
ejpam-5197	341	16	-	-	SYM
ejpam-5197	341	17	1584	1584	NUM
ejpam-5197	341	18	1577	1577	NUM
ejpam-5197	341	19	0	0	NUM
ejpam-5197	341	20	0.5	0.5	NUM
ejpam-5197	341	21	1	1	NUM
ejpam-5197	341	22	0	0	NUM
ejpam-5197	341	23	0.5	0.5	NUM
ejpam-5197	341	24	1	1	NUM
ejpam-5197	341	25	−2	−2	NOUN
ejpam-5197	341	26	0	0	NUM
ejpam-5197	341	27	2	2	NUM
ejpam-5197	341	28	4	4	NUM
ejpam-5197	341	29	6	6	NUM
ejpam-5197	341	30	8	8	NUM
ejpam-5197	341	31	ζ	ζ	PRON
ejpam-5197	341	32	�	�	PROPN
ejpam-5197	341	33	ι	ι	PROPN
ejpam-5197	341	34	�	�	PROPN
ejpam-5197	341	35	η	η	PROPN
ejpam-5197	341	36	q	q	PROPN
ejpam-5197	341	37	(	(	PUNCT
ejpam-5197	341	38	.	.	PUNCT
ejpam-5197	341	39	,	,	PUNCT
ejpam-5197	341	40	.	.	PUNCT
ejpam-5197	341	41	)	)	PUNCT
ejpam-5197	342	1	0	0	NUM
ejpam-5197	342	2	0.5	0.5	NUM
ejpam-5197	342	3	1	1	NUM
ejpam-5197	342	4	0	0	NUM
ejpam-5197	342	5	0.5	0.5	NUM
ejpam-5197	342	6	1	1	NUM
ejpam-5197	342	7	−13	−13	NOUN
ejpam-5197	342	8	−12	−12	X
ejpam-5197	342	9	−11	−11	X
ejpam-5197	342	10	−10	−10	X
ejpam-5197	342	11	−9	−9	ADV
ejpam-5197	343	1	−8	−8	X
ejpam-5197	343	2	ζι	ζι	VERB
ejpam-5197	343	3	lo	lo	NOUN
ejpam-5197	343	4	g	g	NOUN
ejpam-5197	343	5	1	1	NUM
ejpam-5197	343	6	0	0	NUM
ejpam-5197	343	7	(	(	PUNCT
ejpam-5197	343	8	e	e	NOUN
ejpam-5197	343	9	r	r	NOUN
ejpam-5197	343	10	q	q	X
ejpam-5197	343	11	(	(	PUNCT
ejpam-5197	343	12	.	.	PUNCT
ejpam-5197	343	13	,	,	PUNCT
ejpam-5197	343	14	.	.	PUNCT
ejpam-5197	343	15	)	)	PUNCT
ejpam-5197	343	16	)	)	PUNCT
ejpam-5197	344	1	figure	figure	NOUN
ejpam-5197	344	2	1	1	NUM
ejpam-5197	344	3	:	:	PUNCT
ejpam-5197	344	4	the	the	DET
ejpam-5197	344	5	ηq	ηq	PROPN
ejpam-5197	344	6	(	(	PUNCT
ejpam-5197	344	7	.	.	PUNCT
ejpam-5197	344	8	,	,	PUNCT
ejpam-5197	344	9	.	.	PUNCT
ejpam-5197	344	10	)	)	PUNCT
ejpam-5197	345	1	and	and	CCONJ
ejpam-5197	345	2	logarithm	logarithm	NOUN
ejpam-5197	345	3	of	of	ADP
ejpam-5197	345	4	erq	erq	PROPN
ejpam-5197	345	5	(	(	PUNCT
ejpam-5197	345	6	.	.	PUNCT
ejpam-5197	345	7	,	,	PUNCT
ejpam-5197	345	8	.	.	PUNCT
ejpam-5197	345	9	)	)	PUNCT
ejpam-5197	346	1	for	for	ADP
ejpam-5197	346	2	q	q	NOUN
ejpam-5197	346	3	=	=	NOUN
ejpam-5197	346	4	8	8	NUM
ejpam-5197	346	5	in	in	ADP
ejpam-5197	346	6	example	example	NOUN
ejpam-5197	346	7	1	1	NUM
ejpam-5197	346	8	.	.	PUNCT
ejpam-5197	346	9	table	table	NOUN
ejpam-5197	346	10	1	1	NUM
ejpam-5197	346	11	:	:	PUNCT
ejpam-5197	346	12	comparison	comparison	NOUN
ejpam-5197	346	13	of	of	ADP
ejpam-5197	346	14	error	error	NOUN
ejpam-5197	346	15	erq	erq	PROPN
ejpam-5197	346	16	max	max	PROPN
ejpam-5197	346	17	at	at	ADP
ejpam-5197	346	18	time	time	NOUN
ejpam-5197	346	19	ζ	ζ	NOUN
ejpam-5197	346	20	=	=	SYM
ejpam-5197	346	21	2	2	NUM
ejpam-5197	346	22	for	for	ADP
ejpam-5197	346	23	example	example	NOUN
ejpam-5197	346	24	2	2	NUM
ejpam-5197	346	25	.	.	NOUN
ejpam-5197	346	26	number	number	NOUN
ejpam-5197	346	27	of	of	ADP
ejpam-5197	346	28	points	point	NOUN
ejpam-5197	346	29	method	method	NOUN
ejpam-5197	346	30	[	[	X
ejpam-5197	346	31	15	15	NUM
ejpam-5197	346	32	]	]	SYM
ejpam-5197	346	33	number	number	NOUN
ejpam-5197	346	34	of	of	ADP
ejpam-5197	346	35	points	point	NOUN
ejpam-5197	346	36	presented	present	VERB
ejpam-5197	346	37	method	method	NOUN
ejpam-5197	346	38	4×	4×	NOUN
ejpam-5197	346	39	200	200	NUM
ejpam-5197	346	40	1.52×	1.52×	NUM
ejpam-5197	346	41	10−6	10−6	NUM
ejpam-5197	347	1	7×	7×	NUM
ejpam-5197	347	2	7	7	NUM
ejpam-5197	347	3	3.58×	3.58×	NUM
ejpam-5197	347	4	10−6	10−6	NUM
ejpam-5197	347	5	8×	8×	ADJ
ejpam-5197	347	6	400	400	NUM
ejpam-5197	347	7	3.80×	3.80×	NUM
ejpam-5197	347	8	10−7	10−7	NUM
ejpam-5197	347	9	8×	8×	ADP
ejpam-5197	347	10	8	8	NUM
ejpam-5197	347	11	2.57×	2.57×	NUM
ejpam-5197	347	12	10−7	10−7	NUM
ejpam-5197	347	13	16×	16×	NUM
ejpam-5197	347	14	800	800	NUM
ejpam-5197	347	15	9.50×	9.50×	NUM
ejpam-5197	347	16	10−8	10−8	NUM
ejpam-5197	347	17	9×	9×	NUM
ejpam-5197	347	18	9	9	NUM
ejpam-5197	347	19	1.68×	1.68×	NUM
ejpam-5197	347	20	10−8	10−8	NUM
ejpam-5197	347	21	32×	32×	NUM
ejpam-5197	347	22	1600	1600	NUM
ejpam-5197	347	23	2.37×	2.37×	NUM
ejpam-5197	347	24	10−8	10−8	NUM
ejpam-5197	347	25	10×	10×	NUM
ejpam-5197	347	26	10	10	NUM
ejpam-5197	347	27	9.02×	9.02×	NUM
ejpam-5197	347	28	10−10	10−10	NUM
ejpam-5197	347	29	3	3	NUM
ejpam-5197	347	30	4	4	NUM
ejpam-5197	347	31	5	5	NUM
ejpam-5197	347	32	6	6	NUM
ejpam-5197	347	33	7	7	NUM
ejpam-5197	347	34	8	8	NUM
ejpam-5197	347	35	−9	−9	NOUN
ejpam-5197	347	36	−8	−8	X
ejpam-5197	347	37	−7	−7	NOUN
ejpam-5197	347	38	−6	−6	INTJ
ejpam-5197	347	39	−5	−5	NOUN
ejpam-5197	347	40	−4	−4	X
ejpam-5197	347	41	−3	−3	PROPN
ejpam-5197	347	42	−2	−2	PROPN
ejpam-5197	347	43	q	q	X
ejpam-5197	347	44	lo	lo	NOUN
ejpam-5197	347	45	g	g	NOUN
ejpam-5197	347	46	1	1	NUM
ejpam-5197	347	47	0	0	NUM
ejpam-5197	348	1	(	(	PUNCT
ejpam-5197	348	2	e	e	NOUN
ejpam-5197	348	3	r	r	NOUN
ejpam-5197	348	4	q	q	NOUN
ejpam-5197	348	5	m	m	VERB
ejpam-5197	348	6	a	a	DET
ejpam-5197	348	7	x	x	X
ejpam-5197	348	8	)	)	PUNCT
ejpam-5197	348	9	3	3	NUM
ejpam-5197	348	10	4	4	NUM
ejpam-5197	348	11	5	5	NUM
ejpam-5197	348	12	6	6	NUM
ejpam-5197	348	13	7	7	NUM
ejpam-5197	348	14	8	8	NUM
ejpam-5197	348	15	−9	−9	NOUN
ejpam-5197	348	16	−8	−8	X
ejpam-5197	348	17	−7	−7	NOUN
ejpam-5197	348	18	−6	−6	INTJ
ejpam-5197	348	19	−5	−5	NOUN
ejpam-5197	348	20	−4	−4	X
ejpam-5197	349	1	−3	−3	PROPN
ejpam-5197	349	2	−2	−2	PROPN
ejpam-5197	349	3	q	q	X
ejpam-5197	349	4	lo	lo	NOUN
ejpam-5197	349	5	g	g	NOUN
ejpam-5197	349	6	1	1	NUM
ejpam-5197	349	7	0	0	NUM
ejpam-5197	350	1	(	(	PUNCT
ejpam-5197	350	2	e	e	NOUN
ejpam-5197	350	3	r	r	NOUN
ejpam-5197	350	4	q	q	PROPN
ejpam-5197	350	5	2	2	NUM
ejpam-5197	350	6	)	)	PUNCT
ejpam-5197	350	7	figure	figure	NOUN
ejpam-5197	350	8	2	2	NUM
ejpam-5197	350	9	:	:	PUNCT
ejpam-5197	350	10	the	the	DET
ejpam-5197	350	11	logarithm	logarithm	NOUN
ejpam-5197	350	12	of	of	ADP
ejpam-5197	350	13	erq	erq	PROPN
ejpam-5197	350	14	max	max	PROPN
ejpam-5197	350	15	and	and	CCONJ
ejpam-5197	350	16	erq	erq	NOUN
ejpam-5197	350	17	2	2	NUM
ejpam-5197	350	18	for	for	ADP
ejpam-5197	350	19	example	example	NOUN
ejpam-5197	350	20	1	1	NUM
ejpam-5197	350	21	.	.	PUNCT
ejpam-5197	350	22	table	table	NOUN
ejpam-5197	350	23	2	2	NUM
ejpam-5197	350	24	:	:	PUNCT
ejpam-5197	350	25	the	the	DET
ejpam-5197	350	26	comparison	comparison	NOUN
ejpam-5197	350	27	of	of	ADP
ejpam-5197	350	28	errors	error	NOUN
ejpam-5197	350	29	at	at	ADP
ejpam-5197	350	30	ζ	ζ	NOUN
ejpam-5197	350	31	=	=	SYM
ejpam-5197	350	32	0.5	0.5	NUM
ejpam-5197	350	33	in	in	ADP
ejpam-5197	350	34	example	example	NOUN
ejpam-5197	350	35	3	3	X
ejpam-5197	350	36	.	.	PUNCT
ejpam-5197	350	37	q	q	PUNCT
ejpam-5197	351	1	=	=	PUNCT
ejpam-5197	351	2	10	10	NUM
ejpam-5197	351	3	ēr	ēr	PROPN
ejpam-5197	351	4	q	q	PROPN
ejpam-5197	351	5	2	2	NUM
ejpam-5197	351	6	ēr	ēr	PROPN
ejpam-5197	351	7	q	q	PROPN
ejpam-5197	351	8	max	max	PROPN
ejpam-5197	351	9	our	our	PRON
ejpam-5197	351	10	approach	approach	NOUN
ejpam-5197	351	11	4.16×	4.16×	NUM
ejpam-5197	351	12	10−9	10−9	NUM
ejpam-5197	351	13	7.63×	7.63×	NUM
ejpam-5197	351	14	10−8	10−8	NUM
ejpam-5197	351	15	compact	compact	ADJ
ejpam-5197	351	16	finite	finite	ADJ
ejpam-5197	351	17	difference	difference	NOUN
ejpam-5197	351	18	method	method	NOUN
ejpam-5197	351	19	[	[	X
ejpam-5197	351	20	16	16	NUM
ejpam-5197	351	21	]	]	PUNCT
ejpam-5197	351	22	3.15×	3.15×	NUM
ejpam-5197	351	23	10−3	10−3	NUM
ejpam-5197	351	24	5.98×	5.98×	NUM
ejpam-5197	351	25	10−2	10−2	NUM
ejpam-5197	351	26	m.	m.	NOUN
ejpam-5197	351	27	ghovatmand	ghovatmand	NOUN
ejpam-5197	351	28	et	et	PROPN
ejpam-5197	351	29	al	al	PROPN
ejpam-5197	351	30	.	.	PUNCT
ejpam-5197	351	31	/	/	SYM
ejpam-5197	351	32	eur	eur	PROPN
ejpam-5197	351	33	.	.	PUNCT
ejpam-5197	352	1	j.	j.	PROPN
ejpam-5197	352	2	pure	pure	PROPN
ejpam-5197	352	3	appl	appl	PROPN
ejpam-5197	352	4	.	.	PROPN
ejpam-5197	352	5	math	math	PROPN
ejpam-5197	352	6	,	,	PUNCT
ejpam-5197	352	7	17	17	NUM
ejpam-5197	352	8	(	(	PUNCT
ejpam-5197	352	9	3	3	NUM
ejpam-5197	352	10	)	)	PUNCT
ejpam-5197	352	11	(	(	PUNCT
ejpam-5197	352	12	2024	2024	NUM
ejpam-5197	352	13	)	)	PUNCT
ejpam-5197	352	14	,	,	PUNCT
ejpam-5197	352	15	1565	1565	NUM
ejpam-5197	352	16	-	-	SYM
ejpam-5197	352	17	1584	1584	NUM
ejpam-5197	352	18	1578	1578	NUM
ejpam-5197	352	19	0	0	NUM
ejpam-5197	352	20	1	1	NUM
ejpam-5197	352	21	2	2	NUM
ejpam-5197	352	22	0	0	NUM
ejpam-5197	352	23	2	2	NUM
ejpam-5197	352	24	4	4	NUM
ejpam-5197	352	25	−0.2	−0.2	PROPN
ejpam-5197	352	26	0	0	NUM
ejpam-5197	352	27	0.2	0.2	NUM
ejpam-5197	352	28	0.4	0.4	NUM
ejpam-5197	352	29	0.6	0.6	NUM
ejpam-5197	352	30	0.8	0.8	NUM
ejpam-5197	352	31	1	1	NUM
ejpam-5197	352	32	1.2	1.2	NUM
ejpam-5197	352	33	ζι	ζι	VERB
ejpam-5197	352	34	η	η	PROPN
ejpam-5197	352	35	q	q	X
ejpam-5197	352	36	(	(	PUNCT
ejpam-5197	352	37	.	.	PUNCT
ejpam-5197	352	38	,	,	PUNCT
ejpam-5197	352	39	.	.	PUNCT
ejpam-5197	352	40	)	)	PUNCT
ejpam-5197	353	1	0	0	NUM
ejpam-5197	354	1	1	1	NUM
ejpam-5197	354	2	2	2	NUM
ejpam-5197	354	3	0	0	NUM
ejpam-5197	354	4	2	2	NUM
ejpam-5197	354	5	4	4	NUM
ejpam-5197	354	6	−11	−11	SYM
ejpam-5197	354	7	−10.5	−10.5	NUM
ejpam-5197	354	8	−10	−10	X
ejpam-5197	354	9	−9.5	−9.5	X
ejpam-5197	354	10	−9	−9	NOUN
ejpam-5197	354	11	ζι	ζι	VERB
ejpam-5197	354	12	lo	lo	NOUN
ejpam-5197	354	13	g	g	NOUN
ejpam-5197	354	14	1	1	NUM
ejpam-5197	354	15	0	0	NUM
ejpam-5197	354	16	(	(	PUNCT
ejpam-5197	354	17	e	e	NOUN
ejpam-5197	354	18	r	r	NOUN
ejpam-5197	354	19	q	q	X
ejpam-5197	354	20	(	(	PUNCT
ejpam-5197	354	21	.	.	PUNCT
ejpam-5197	354	22	,	,	PUNCT
ejpam-5197	354	23	.	.	PUNCT
ejpam-5197	354	24	)	)	PUNCT
ejpam-5197	354	25	)	)	PUNCT
ejpam-5197	355	1	figure	figure	NOUN
ejpam-5197	355	2	3	3	NUM
ejpam-5197	355	3	:	:	PUNCT
ejpam-5197	355	4	the	the	DET
ejpam-5197	355	5	ηq	ηq	PROPN
ejpam-5197	355	6	(	(	PUNCT
ejpam-5197	355	7	.	.	PUNCT
ejpam-5197	355	8	,	,	PUNCT
ejpam-5197	355	9	.	.	PUNCT
ejpam-5197	355	10	)	)	PUNCT
ejpam-5197	356	1	and	and	CCONJ
ejpam-5197	356	2	logarithm	logarithm	NOUN
ejpam-5197	356	3	of	of	ADP
ejpam-5197	356	4	erq	erq	PROPN
ejpam-5197	356	5	(	(	PUNCT
ejpam-5197	356	6	.	.	PUNCT
ejpam-5197	356	7	,	,	PUNCT
ejpam-5197	356	8	.	.	PUNCT
ejpam-5197	356	9	)	)	PUNCT
ejpam-5197	357	1	for	for	ADP
ejpam-5197	357	2	q	q	NOUN
ejpam-5197	357	3	=	=	NOUN
ejpam-5197	357	4	8	8	NUM
ejpam-5197	357	5	in	in	ADP
ejpam-5197	357	6	example	example	NOUN
ejpam-5197	357	7	2	2	NUM
ejpam-5197	357	8	.	.	SYM
ejpam-5197	357	9	2	2	NUM
ejpam-5197	357	10	4	4	NUM
ejpam-5197	357	11	6	6	NUM
ejpam-5197	357	12	8	8	NUM
ejpam-5197	357	13	10	10	NUM
ejpam-5197	357	14	−10	−10	NOUN
ejpam-5197	357	15	−9	−9	X
ejpam-5197	357	16	−8	−8	PUNCT
ejpam-5197	357	17	−7	−7	NOUN
ejpam-5197	357	18	−6	−6	INTJ
ejpam-5197	357	19	−5	−5	NOUN
ejpam-5197	357	20	−4	−4	X
ejpam-5197	357	21	−3	−3	PROPN
ejpam-5197	357	22	−2	−2	PROPN
ejpam-5197	357	23	−1	−1	NOUN
ejpam-5197	357	24	q	q	PROPN
ejpam-5197	357	25	lo	lo	NOUN
ejpam-5197	357	26	g	g	NOUN
ejpam-5197	357	27	1	1	NUM
ejpam-5197	357	28	0	0	NUM
ejpam-5197	357	29	(	(	PUNCT
ejpam-5197	357	30	e	e	NOUN
ejpam-5197	357	31	r	r	NOUN
ejpam-5197	357	32	q	q	NOUN
ejpam-5197	357	33	m	m	VERB
ejpam-5197	357	34	a	a	DET
ejpam-5197	357	35	x	x	X
ejpam-5197	357	36	)	)	PUNCT
ejpam-5197	357	37	2	2	NUM
ejpam-5197	357	38	4	4	NUM
ejpam-5197	357	39	6	6	NUM
ejpam-5197	357	40	8	8	NUM
ejpam-5197	357	41	10	10	NUM
ejpam-5197	357	42	−9	−9	NOUN
ejpam-5197	357	43	−8	−8	X
ejpam-5197	357	44	−7	−7	NOUN
ejpam-5197	357	45	−6	−6	INTJ
ejpam-5197	357	46	−5	−5	NOUN
ejpam-5197	357	47	−4	−4	X
ejpam-5197	358	1	−3	−3	PROPN
ejpam-5197	358	2	−2	−2	PROPN
ejpam-5197	358	3	−1	−1	NOUN
ejpam-5197	358	4	q	q	PROPN
ejpam-5197	358	5	lo	lo	NOUN
ejpam-5197	358	6	g	g	NOUN
ejpam-5197	358	7	1	1	NUM
ejpam-5197	358	8	0	0	NUM
ejpam-5197	359	1	(	(	PUNCT
ejpam-5197	359	2	e	e	NOUN
ejpam-5197	359	3	r	r	NOUN
ejpam-5197	359	4	q	q	PROPN
ejpam-5197	359	5	2	2	NUM
ejpam-5197	359	6	)	)	PUNCT
ejpam-5197	359	7	figure	figure	NOUN
ejpam-5197	359	8	4	4	NUM
ejpam-5197	359	9	:	:	PUNCT
ejpam-5197	359	10	the	the	DET
ejpam-5197	359	11	logarithm	logarithm	NOUN
ejpam-5197	359	12	of	of	ADP
ejpam-5197	359	13	errors	error	NOUN
ejpam-5197	359	14	erq	erq	PROPN
ejpam-5197	359	15	max	max	PROPN
ejpam-5197	359	16	and	and	CCONJ
ejpam-5197	359	17	erq	erq	NOUN
ejpam-5197	359	18	2	2	NUM
ejpam-5197	359	19	for	for	ADP
ejpam-5197	359	20	q	q	NOUN
ejpam-5197	359	21	=	=	NOUN
ejpam-5197	359	22	10	10	NUM
ejpam-5197	359	23	in	in	ADP
ejpam-5197	359	24	example	example	NOUN
ejpam-5197	359	25	2	2	NUM
ejpam-5197	359	26	.	.	PUNCT
ejpam-5197	359	27	m.	m.	NOUN
ejpam-5197	359	28	ghovatmand	ghovatmand	PROPN
ejpam-5197	359	29	et	et	PROPN
ejpam-5197	359	30	al	al	PROPN
ejpam-5197	359	31	.	.	PUNCT
ejpam-5197	359	32	/	/	SYM
ejpam-5197	359	33	eur	eur	PROPN
ejpam-5197	359	34	.	.	PUNCT
ejpam-5197	360	1	j.	j.	PROPN
ejpam-5197	360	2	pure	pure	PROPN
ejpam-5197	360	3	appl	appl	PROPN
ejpam-5197	360	4	.	.	PROPN
ejpam-5197	360	5	math	math	PROPN
ejpam-5197	360	6	,	,	PUNCT
ejpam-5197	360	7	17	17	NUM
ejpam-5197	360	8	(	(	PUNCT
ejpam-5197	360	9	3	3	NUM
ejpam-5197	360	10	)	)	PUNCT
ejpam-5197	360	11	(	(	PUNCT
ejpam-5197	360	12	2024	2024	NUM
ejpam-5197	360	13	)	)	PUNCT
ejpam-5197	360	14	,	,	PUNCT
ejpam-5197	360	15	1565	1565	NUM
ejpam-5197	360	16	-	-	SYM
ejpam-5197	360	17	1584	1584	NUM
ejpam-5197	360	18	1579	1579	NUM
ejpam-5197	360	19	0	0	NUM
ejpam-5197	361	1	0.5	0.5	NUM
ejpam-5197	361	2	0	0	NUM
ejpam-5197	361	3	5	5	NUM
ejpam-5197	361	4	10	10	NUM
ejpam-5197	361	5	−1	−1	NOUN
ejpam-5197	361	6	−0.5	−0.5	NOUN
ejpam-5197	361	7	0	0	NUM
ejpam-5197	361	8	0.5	0.5	NUM
ejpam-5197	361	9	1	1	NUM
ejpam-5197	361	10	ζι	ζι	VERB
ejpam-5197	361	11	η	η	PROPN
ejpam-5197	361	12	q	q	X
ejpam-5197	361	13	(	(	PUNCT
ejpam-5197	361	14	.	.	PUNCT
ejpam-5197	361	15	,	,	PUNCT
ejpam-5197	361	16	.	.	PUNCT
ejpam-5197	361	17	)	)	PUNCT
ejpam-5197	362	1	0	0	NUM
ejpam-5197	362	2	0.5	0.5	NUM
ejpam-5197	362	3	0	0	NUM
ejpam-5197	362	4	5	5	NUM
ejpam-5197	362	5	10	10	NUM
ejpam-5197	362	6	−12	−12	NUM
ejpam-5197	362	7	−11	−11	NOUN
ejpam-5197	362	8	−10	−10	X
ejpam-5197	362	9	−9	−9	ADV
ejpam-5197	362	10	−8	−8	VERB
ejpam-5197	362	11	−7	−7	NOUN
ejpam-5197	362	12	ζι	ζι	VERB
ejpam-5197	362	13	lo	lo	NOUN
ejpam-5197	362	14	g	g	NOUN
ejpam-5197	362	15	1	1	NUM
ejpam-5197	362	16	0	0	NUM
ejpam-5197	362	17	(	(	PUNCT
ejpam-5197	362	18	e	e	NOUN
ejpam-5197	362	19	r	r	NOUN
ejpam-5197	362	20	q	q	X
ejpam-5197	362	21	(	(	PUNCT
ejpam-5197	362	22	.	.	PUNCT
ejpam-5197	362	23	,	,	PUNCT
ejpam-5197	362	24	.	.	PUNCT
ejpam-5197	362	25	)	)	PUNCT
ejpam-5197	362	26	)	)	PUNCT
ejpam-5197	362	27	figure	figure	NOUN
ejpam-5197	362	28	5	5	NUM
ejpam-5197	362	29	:	:	PUNCT
ejpam-5197	362	30	the	the	DET
ejpam-5197	362	31	ηq	ηq	PROPN
ejpam-5197	362	32	(	(	PUNCT
ejpam-5197	362	33	.	.	PUNCT
ejpam-5197	362	34	,	,	PUNCT
ejpam-5197	362	35	.	.	PUNCT
ejpam-5197	362	36	)	)	PUNCT
ejpam-5197	362	37	and	and	CCONJ
ejpam-5197	362	38	logarithm	logarithm	NOUN
ejpam-5197	362	39	of	of	ADP
ejpam-5197	362	40	erq	erq	PROPN
ejpam-5197	362	41	(	(	PUNCT
ejpam-5197	362	42	.	.	PUNCT
ejpam-5197	362	43	,	,	PUNCT
ejpam-5197	362	44	.	.	PUNCT
ejpam-5197	362	45	)	)	PUNCT
ejpam-5197	363	1	for	for	ADP
ejpam-5197	363	2	q	q	NOUN
ejpam-5197	363	3	=	=	SYM
ejpam-5197	363	4	10	10	NUM
ejpam-5197	363	5	in	in	ADP
ejpam-5197	363	6	example	example	NOUN
ejpam-5197	363	7	3	3	NUM
ejpam-5197	363	8	.	.	NOUN
ejpam-5197	363	9	2	2	NUM
ejpam-5197	363	10	4	4	NUM
ejpam-5197	363	11	6	6	NUM
ejpam-5197	363	12	8	8	NUM
ejpam-5197	363	13	10	10	NUM
ejpam-5197	363	14	−8	−8	ADV
ejpam-5197	363	15	−7	−7	NOUN
ejpam-5197	363	16	−6	−6	INTJ
ejpam-5197	363	17	−5	−5	NOUN
ejpam-5197	363	18	−4	−4	X
ejpam-5197	363	19	−3	−3	PROPN
ejpam-5197	363	20	−2	−2	PROPN
ejpam-5197	363	21	−1	−1	NOUN
ejpam-5197	363	22	q	q	PROPN
ejpam-5197	364	1	lo	lo	NOUN
ejpam-5197	364	2	g	g	NOUN
ejpam-5197	364	3	1	1	NUM
ejpam-5197	364	4	0	0	NUM
ejpam-5197	365	1	(	(	PUNCT
ejpam-5197	365	2	e	e	NOUN
ejpam-5197	365	3	r	r	NOUN
ejpam-5197	365	4	q	q	NOUN
ejpam-5197	365	5	m	m	VERB
ejpam-5197	365	6	a	a	DET
ejpam-5197	365	7	x	x	X
ejpam-5197	365	8	)	)	PUNCT
ejpam-5197	365	9	2	2	NUM
ejpam-5197	365	10	4	4	NUM
ejpam-5197	365	11	6	6	NUM
ejpam-5197	365	12	8	8	NUM
ejpam-5197	365	13	10	10	NUM
ejpam-5197	365	14	−7	−7	NOUN
ejpam-5197	365	15	−6	−6	NOUN
ejpam-5197	365	16	−5	−5	NOUN
ejpam-5197	366	1	−4	−4	X
ejpam-5197	367	1	−3	−3	X
ejpam-5197	367	2	−2	−2	PROPN
ejpam-5197	367	3	−1	−1	NOUN
ejpam-5197	367	4	0	0	PUNCT
ejpam-5197	368	1	q	q	PROPN
ejpam-5197	369	1	lo	lo	NOUN
ejpam-5197	369	2	g	g	NOUN
ejpam-5197	369	3	1	1	NUM
ejpam-5197	369	4	0	0	NUM
ejpam-5197	370	1	(	(	PUNCT
ejpam-5197	370	2	e	e	NOUN
ejpam-5197	370	3	r	r	NOUN
ejpam-5197	370	4	q	q	PROPN
ejpam-5197	370	5	2	2	NUM
ejpam-5197	370	6	)	)	PUNCT
ejpam-5197	370	7	figure	figure	NOUN
ejpam-5197	370	8	6	6	NUM
ejpam-5197	370	9	:	:	PUNCT
ejpam-5197	370	10	the	the	DET
ejpam-5197	370	11	logarithm	logarithm	NOUN
ejpam-5197	370	12	of	of	ADP
ejpam-5197	370	13	errors	error	NOUN
ejpam-5197	370	14	erq	erq	PROPN
ejpam-5197	370	15	max	max	PROPN
ejpam-5197	370	16	and	and	CCONJ
ejpam-5197	370	17	erq	erq	NOUN
ejpam-5197	370	18	2	2	NUM
ejpam-5197	370	19	in	in	ADP
ejpam-5197	370	20	example	example	NOUN
ejpam-5197	371	1	3	3	NUM
ejpam-5197	371	2	.	.	PUNCT
ejpam-5197	371	3	m.	m.	NOUN
ejpam-5197	371	4	ghovatmand	ghovatmand	PROPN
ejpam-5197	371	5	et	et	PROPN
ejpam-5197	371	6	al	al	PROPN
ejpam-5197	371	7	.	.	PUNCT
ejpam-5197	371	8	/	/	SYM
ejpam-5197	371	9	eur	eur	PROPN
ejpam-5197	371	10	.	.	PUNCT
ejpam-5197	372	1	j.	j.	PROPN
ejpam-5197	372	2	pure	pure	PROPN
ejpam-5197	372	3	appl	appl	PROPN
ejpam-5197	372	4	.	.	PROPN
ejpam-5197	372	5	math	math	PROPN
ejpam-5197	372	6	,	,	PUNCT
ejpam-5197	372	7	17	17	NUM
ejpam-5197	372	8	(	(	PUNCT
ejpam-5197	372	9	3	3	NUM
ejpam-5197	372	10	)	)	PUNCT
ejpam-5197	372	11	(	(	PUNCT
ejpam-5197	372	12	2024	2024	NUM
ejpam-5197	372	13	)	)	PUNCT
ejpam-5197	372	14	,	,	PUNCT
ejpam-5197	372	15	1565	1565	NUM
ejpam-5197	372	16	-	-	SYM
ejpam-5197	372	17	1584	1584	NUM
ejpam-5197	372	18	1580	1580	NUM
ejpam-5197	372	19	0	0	NUM
ejpam-5197	372	20	0.5	0.5	NUM
ejpam-5197	372	21	1	1	NUM
ejpam-5197	372	22	0	0	NUM
ejpam-5197	372	23	0.5	0.5	NUM
ejpam-5197	372	24	1	1	NUM
ejpam-5197	372	25	−0.2	−0.2	PROPN
ejpam-5197	372	26	0	0	NUM
ejpam-5197	372	27	0.2	0.2	NUM
ejpam-5197	372	28	0.4	0.4	NUM
ejpam-5197	372	29	0.6	0.6	NUM
ejpam-5197	372	30	0.8	0.8	NUM
ejpam-5197	372	31	1	1	NUM
ejpam-5197	372	32	1.2	1.2	NUM
ejpam-5197	372	33	ζι	ζι	VERB
ejpam-5197	372	34	η	η	PROPN
ejpam-5197	372	35	q	q	X
ejpam-5197	372	36	(	(	PUNCT
ejpam-5197	372	37	.	.	PUNCT
ejpam-5197	372	38	,	,	PUNCT
ejpam-5197	372	39	.	.	PUNCT
ejpam-5197	372	40	)	)	PUNCT
ejpam-5197	373	1	0	0	NUM
ejpam-5197	373	2	0.5	0.5	NUM
ejpam-5197	373	3	1	1	NUM
ejpam-5197	373	4	0	0	NUM
ejpam-5197	373	5	0.5	0.5	NUM
ejpam-5197	373	6	1	1	NUM
ejpam-5197	373	7	−10.5	−10.5	NUM
ejpam-5197	373	8	−10	−10	NOUN
ejpam-5197	373	9	−9.5	−9.5	NOUN
ejpam-5197	373	10	−9	−9	X
ejpam-5197	374	1	−8.5	−8.5	X
ejpam-5197	375	1	−8	−8	X
ejpam-5197	375	2	ζι	ζι	PUNCT
ejpam-5197	375	3	lo	lo	NOUN
ejpam-5197	375	4	g	g	NOUN
ejpam-5197	375	5	1	1	NUM
ejpam-5197	375	6	0	0	NUM
ejpam-5197	375	7	(	(	PUNCT
ejpam-5197	375	8	e	e	NOUN
ejpam-5197	375	9	r	r	NOUN
ejpam-5197	375	10	q	q	X
ejpam-5197	375	11	(	(	PUNCT
ejpam-5197	375	12	.	.	PUNCT
ejpam-5197	375	13	,	,	PUNCT
ejpam-5197	375	14	.	.	PUNCT
ejpam-5197	375	15	)	)	PUNCT
ejpam-5197	375	16	)	)	PUNCT
ejpam-5197	376	1	figure	figure	VERB
ejpam-5197	376	2	7	7	NUM
ejpam-5197	376	3	:	:	PUNCT
ejpam-5197	376	4	the	the	DET
ejpam-5197	376	5	ηq	ηq	PROPN
ejpam-5197	376	6	(	(	PUNCT
ejpam-5197	376	7	.	.	PUNCT
ejpam-5197	376	8	,	,	PUNCT
ejpam-5197	376	9	.	.	PUNCT
ejpam-5197	376	10	)	)	PUNCT
ejpam-5197	377	1	and	and	CCONJ
ejpam-5197	377	2	logarithm	logarithm	NOUN
ejpam-5197	377	3	of	of	ADP
ejpam-5197	377	4	erq	erq	PROPN
ejpam-5197	377	5	(	(	PUNCT
ejpam-5197	377	6	.	.	PUNCT
ejpam-5197	377	7	,	,	PUNCT
ejpam-5197	377	8	.	.	PUNCT
ejpam-5197	377	9	)	)	PUNCT
ejpam-5197	378	1	for	for	ADP
ejpam-5197	378	2	q	q	NOUN
ejpam-5197	378	3	=	=	SYM
ejpam-5197	378	4	10	10	NUM
ejpam-5197	378	5	in	in	ADP
ejpam-5197	378	6	example	example	NOUN
ejpam-5197	378	7	4	4	NUM
ejpam-5197	378	8	.	.	SYM
ejpam-5197	378	9	2	2	NUM
ejpam-5197	378	10	4	4	NUM
ejpam-5197	378	11	6	6	NUM
ejpam-5197	378	12	8	8	NUM
ejpam-5197	378	13	10	10	NUM
ejpam-5197	378	14	−9	−9	NOUN
ejpam-5197	378	15	−8	−8	X
ejpam-5197	378	16	−7	−7	NOUN
ejpam-5197	378	17	−6	−6	INTJ
ejpam-5197	378	18	−5	−5	NOUN
ejpam-5197	378	19	−4	−4	X
ejpam-5197	378	20	−3	−3	PROPN
ejpam-5197	378	21	−2	−2	PROPN
ejpam-5197	378	22	−1	−1	NOUN
ejpam-5197	378	23	q	q	PROPN
ejpam-5197	378	24	lo	lo	NOUN
ejpam-5197	378	25	g	g	NOUN
ejpam-5197	378	26	1	1	NUM
ejpam-5197	378	27	0	0	NUM
ejpam-5197	378	28	(	(	PUNCT
ejpam-5197	378	29	e	e	NOUN
ejpam-5197	378	30	r	r	NOUN
ejpam-5197	378	31	q	q	NOUN
ejpam-5197	378	32	m	m	VERB
ejpam-5197	378	33	a	a	DET
ejpam-5197	378	34	x	x	X
ejpam-5197	378	35	)	)	PUNCT
ejpam-5197	378	36	2	2	NUM
ejpam-5197	378	37	4	4	NUM
ejpam-5197	378	38	6	6	NUM
ejpam-5197	378	39	8	8	NUM
ejpam-5197	378	40	10	10	NUM
ejpam-5197	378	41	−8	−8	ADV
ejpam-5197	378	42	−7	−7	NOUN
ejpam-5197	378	43	−6	−6	INTJ
ejpam-5197	378	44	−5	−5	NOUN
ejpam-5197	378	45	−4	−4	X
ejpam-5197	378	46	−3	−3	X
ejpam-5197	378	47	−2	−2	PROPN
ejpam-5197	378	48	−1	−1	NOUN
ejpam-5197	378	49	0	0	PUNCT
ejpam-5197	379	1	q	q	PROPN
ejpam-5197	380	1	lo	lo	NOUN
ejpam-5197	380	2	g	g	NOUN
ejpam-5197	380	3	1	1	NUM
ejpam-5197	380	4	0	0	NUM
ejpam-5197	381	1	(	(	PUNCT
ejpam-5197	381	2	e	e	NOUN
ejpam-5197	381	3	r	r	NOUN
ejpam-5197	381	4	q	q	PROPN
ejpam-5197	381	5	2	2	NUM
ejpam-5197	381	6	)	)	PUNCT
ejpam-5197	381	7	figure	figure	NOUN
ejpam-5197	381	8	8	8	NUM
ejpam-5197	381	9	:	:	PUNCT
ejpam-5197	381	10	the	the	DET
ejpam-5197	381	11	logarithm	logarithm	NOUN
ejpam-5197	381	12	of	of	ADP
ejpam-5197	381	13	errors	error	NOUN
ejpam-5197	381	14	erq	erq	PROPN
ejpam-5197	381	15	max	max	PROPN
ejpam-5197	381	16	and	and	CCONJ
ejpam-5197	381	17	erq	erq	NOUN
ejpam-5197	381	18	2	2	NUM
ejpam-5197	381	19	in	in	ADP
ejpam-5197	381	20	example	example	NOUN
ejpam-5197	381	21	4	4	NUM
ejpam-5197	381	22	.	.	PUNCT
ejpam-5197	382	1	references	reference	NOUN
ejpam-5197	382	2	1581	1581	NUM
ejpam-5197	382	3	6	6	NUM
ejpam-5197	382	4	.	.	PUNCT
ejpam-5197	383	1	conclusions	conclusion	NOUN
ejpam-5197	383	2	in	in	ADP
ejpam-5197	383	3	this	this	DET
ejpam-5197	383	4	article	article	NOUN
ejpam-5197	383	5	,	,	PUNCT
ejpam-5197	383	6	we	we	PRON
ejpam-5197	383	7	showed	show	VERB
ejpam-5197	383	8	that	that	SCONJ
ejpam-5197	383	9	pseudo	pseudo	NOUN
ejpam-5197	383	10	-	-	ADJ
ejpam-5197	383	11	spectral	spectral	ADJ
ejpam-5197	383	12	methods	method	NOUN
ejpam-5197	383	13	with	with	ADP
ejpam-5197	383	14	two	two	NUM
ejpam-5197	383	15	-	-	PUNCT
ejpam-5197	383	16	dimensional	dimensional	ADJ
ejpam-5197	383	17	lagrangebases	lagrangebase	NOUN
ejpam-5197	383	18	at	at	ADP
ejpam-5197	383	19	the	the	DET
ejpam-5197	383	20	collocation	collocation	NOUN
ejpam-5197	383	21	points	point	NOUN
ejpam-5197	383	22	of	of	ADP
ejpam-5197	383	23	legendre	legendre	PROPN
ejpam-5197	383	24	-	-	PUNCT
ejpam-5197	383	25	gauss	gauss	NOUN
ejpam-5197	383	26	-	-	PUNCT
ejpam-5197	383	27	lobatto	lobatto	NOUN
ejpam-5197	383	28	can	can	AUX
ejpam-5197	383	29	be	be	AUX
ejpam-5197	383	30	used	use	VERB
ejpam-5197	383	31	for	for	ADP
ejpam-5197	383	32	reaction	reaction	NOUN
ejpam-5197	383	33	-	-	PUNCT
ejpam-5197	383	34	diffusion	diffusion	NOUN
ejpam-5197	383	35	equations	equation	NOUN
ejpam-5197	383	36	of	of	ADP
ejpam-5197	383	37	the	the	DET
ejpam-5197	383	38	difference	difference	NOUN
ejpam-5197	383	39	delayed	delay	VERB
ejpam-5197	383	40	type	type	NOUN
ejpam-5197	383	41	.	.	PUNCT
ejpam-5197	384	1	the	the	DET
ejpam-5197	384	2	proposed	propose	VERB
ejpam-5197	384	3	technique	technique	NOUN
ejpam-5197	384	4	was	be	AUX
ejpam-5197	384	5	to	to	PART
ejpam-5197	384	6	insert	insert	VERB
ejpam-5197	384	7	the	the	DET
ejpam-5197	384	8	relevant	relevant	ADJ
ejpam-5197	384	9	delay	delay	NOUN
ejpam-5197	384	10	function	function	NOUN
ejpam-5197	384	11	in	in	ADP
ejpam-5197	384	12	the	the	DET
ejpam-5197	384	13	diffusion	diffusion	NOUN
ejpam-5197	384	14	-	-	PUNCT
ejpam-5197	384	15	reaction	reaction	NOUN
ejpam-5197	384	16	equation	equation	NOUN
ejpam-5197	384	17	and	and	CCONJ
ejpam-5197	384	18	converting	convert	VERB
ejpam-5197	384	19	it	it	PRON
ejpam-5197	384	20	into	into	ADP
ejpam-5197	384	21	a	a	DET
ejpam-5197	384	22	non	non	ADJ
ejpam-5197	384	23	-	-	ADJ
ejpam-5197	384	24	delayed	delayed	ADJ
ejpam-5197	384	25	equation	equation	NOUN
ejpam-5197	384	26	.	.	PUNCT
ejpam-5197	385	1	this	this	DET
ejpam-5197	385	2	technique	technique	NOUN
ejpam-5197	385	3	can	can	AUX
ejpam-5197	385	4	be	be	AUX
ejpam-5197	385	5	used	use	VERB
ejpam-5197	385	6	for	for	ADP
ejpam-5197	385	7	other	other	ADJ
ejpam-5197	385	8	delayed	delay	VERB
ejpam-5197	385	9	differential	differential	ADJ
ejpam-5197	385	10	equations	equation	NOUN
ejpam-5197	385	11	.	.	PUNCT
ejpam-5197	386	1	the	the	DET
ejpam-5197	386	2	convergence	convergence	NOUN
ejpam-5197	386	3	analysis	analysis	NOUN
ejpam-5197	386	4	of	of	ADP
ejpam-5197	386	5	the	the	DET
ejpam-5197	386	6	method	method	NOUN
ejpam-5197	386	7	showed	show	VERB
ejpam-5197	386	8	that	that	SCONJ
ejpam-5197	386	9	the	the	DET
ejpam-5197	386	10	approximate	approximate	ADJ
ejpam-5197	386	11	solutions	solution	NOUN
ejpam-5197	386	12	obtained	obtain	VERB
ejpam-5197	386	13	by	by	ADP
ejpam-5197	386	14	considering	consider	VERB
ejpam-5197	386	15	mild	mild	ADJ
ejpam-5197	386	16	conditions	condition	NOUN
ejpam-5197	386	17	converge	converge	VERB
ejpam-5197	386	18	to	to	ADP
ejpam-5197	386	19	the	the	DET
ejpam-5197	386	20	exact	exact	ADJ
ejpam-5197	386	21	solution	solution	NOUN
ejpam-5197	386	22	of	of	ADP
ejpam-5197	386	23	the	the	DET
ejpam-5197	386	24	equation	equation	NOUN
ejpam-5197	386	25	.	.	PUNCT
ejpam-5197	387	1	also	also	ADV
ejpam-5197	387	2	,	,	PUNCT
ejpam-5197	387	3	the	the	DET
ejpam-5197	387	4	use	use	NOUN
ejpam-5197	387	5	of	of	ADP
ejpam-5197	387	6	modulus	modulus	NOUN
ejpam-5197	387	7	of	of	ADP
ejpam-5197	387	8	continuity	continuity	NOUN
ejpam-5197	387	9	functions	function	NOUN
ejpam-5197	387	10	and	and	CCONJ
ejpam-5197	387	11	its	its	PRON
ejpam-5197	387	12	relevant	relevant	ADJ
ejpam-5197	387	13	space	space	NOUN
ejpam-5197	387	14	of	of	ADP
ejpam-5197	387	15	continuously	continuously	ADV
ejpam-5197	387	16	differentiable	differentiable	ADJ
ejpam-5197	387	17	functions	function	NOUN
ejpam-5197	387	18	for	for	ADP
ejpam-5197	387	19	convergence	convergence	NOUN
ejpam-5197	387	20	analysis	analysis	NOUN
ejpam-5197	387	21	of	of	ADP
ejpam-5197	387	22	the	the	DET
ejpam-5197	387	23	proposed	propose	VERB
ejpam-5197	387	24	method	method	NOUN
ejpam-5197	387	25	can	can	AUX
ejpam-5197	387	26	be	be	AUX
ejpam-5197	387	27	extended	extend	VERB
ejpam-5197	387	28	to	to	ADP
ejpam-5197	387	29	other	other	ADJ
ejpam-5197	387	30	pseudo	pseudo	NOUN
ejpam-5197	387	31	-	-	ADJ
ejpam-5197	387	32	spectral	spectral	ADJ
ejpam-5197	387	33	methods	method	NOUN
ejpam-5197	387	34	and	and	CCONJ
ejpam-5197	387	35	other	other	ADJ
ejpam-5197	387	36	time	time	NOUN
ejpam-5197	387	37	-	-	PUNCT
ejpam-5197	387	38	continuous	continuous	ADJ
ejpam-5197	387	39	problems	problem	NOUN
ejpam-5197	387	40	.	.	PUNCT
ejpam-5197	388	1	for	for	ADP
ejpam-5197	388	2	future	future	ADJ
ejpam-5197	388	3	research	research	NOUN
ejpam-5197	388	4	,	,	PUNCT
ejpam-5197	388	5	we	we	PRON
ejpam-5197	388	6	will	will	AUX
ejpam-5197	388	7	use	use	VERB
ejpam-5197	388	8	the	the	DET
ejpam-5197	388	9	method	method	NOUN
ejpam-5197	388	10	and	and	CCONJ
ejpam-5197	388	11	its	its	PRON
ejpam-5197	388	12	convergence	convergence	NOUN
ejpam-5197	388	13	analysis	analysis	NOUN
ejpam-5197	388	14	for	for	ADP
ejpam-5197	388	15	fractional	fractional	ADJ
ejpam-5197	388	16	delayed	delay	VERB
ejpam-5197	388	17	/	/	SYM
ejpam-5197	388	18	non	non	ADJ
ejpam-5197	388	19	-	-	ADJ
ejpam-5197	388	20	delayed	delayed	ADJ
ejpam-5197	388	21	one	one	NUM
ejpam-5197	388	22	and	and	CCONJ
ejpam-5197	388	23	two	two	NUM
ejpam-5197	388	24	-	-	PUNCT
ejpam-5197	388	25	dimensional	dimensional	ADJ
ejpam-5197	388	26	diffusion	diffusion	NOUN
ejpam-5197	388	27	-	-	PUNCT
ejpam-5197	388	28	reaction	reaction	NOUN
ejpam-5197	388	29	equations	equation	NOUN
ejpam-5197	388	30	.	.	PUNCT
ejpam-5197	389	1	conflicts	conflict	NOUN
ejpam-5197	389	2	of	of	ADP
ejpam-5197	389	3	interest	interest	NOUN
ejpam-5197	389	4	:	:	PUNCT
ejpam-5197	389	5	this	this	DET
ejpam-5197	389	6	work	work	NOUN
ejpam-5197	389	7	does	do	AUX
ejpam-5197	389	8	not	not	PART
ejpam-5197	389	9	have	have	VERB
ejpam-5197	389	10	any	any	DET
ejpam-5197	389	11	conflicts	conflict	NOUN
ejpam-5197	389	12	of	of	ADP
ejpam-5197	389	13	interest	interest	NOUN
ejpam-5197	389	14	.	.	PUNCT
ejpam-5197	390	1	funding	funding	NOUN
ejpam-5197	390	2	:	:	PUNCT
ejpam-5197	390	3	there	there	PRON
ejpam-5197	390	4	are	be	VERB
ejpam-5197	390	5	no	no	DET
ejpam-5197	390	6	funders	funder	NOUN
ejpam-5197	390	7	to	to	PART
ejpam-5197	390	8	report	report	VERB
ejpam-5197	390	9	for	for	ADP
ejpam-5197	390	10	this	this	DET
ejpam-5197	390	11	submission	submission	NOUN
ejpam-5197	390	12	.	.	PUNCT
ejpam-5197	391	1	ai	ai	PROPN
ejpam-5197	391	2	statement	statement	NOUN
ejpam-5197	391	3	:	:	PUNCT
ejpam-5197	391	4	the	the	DET
ejpam-5197	391	5	authors	author	NOUN
ejpam-5197	391	6	declare	declare	VERB
ejpam-5197	391	7	they	they	PRON
ejpam-5197	391	8	have	have	AUX
ejpam-5197	391	9	not	not	PART
ejpam-5197	391	10	used	use	VERB
ejpam-5197	391	11	artificial	artificial	ADJ
ejpam-5197	391	12	intelligence	intelligence	NOUN
ejpam-5197	391	13	(	(	PUNCT
ejpam-5197	391	14	ai	ai	NOUN
ejpam-5197	391	15	)	)	PUNCT
ejpam-5197	391	16	tools	tool	NOUN
ejpam-5197	391	17	in	in	ADP
ejpam-5197	391	18	the	the	DET
ejpam-5197	391	19	creation	creation	NOUN
ejpam-5197	391	20	of	of	ADP
ejpam-5197	391	21	this	this	DET
ejpam-5197	391	22	article	article	NOUN
ejpam-5197	391	23	.	.	PUNCT
ejpam-5197	392	1	references	reference	NOUN
ejpam-5197	392	2	[	[	X
ejpam-5197	392	3	1	1	NUM
ejpam-5197	392	4	]	]	X
ejpam-5197	392	5	ali	ali	PROPN
ejpam-5197	392	6	,	,	PUNCT
ejpam-5197	392	7	i.	i.	PROPN
ejpam-5197	392	8	,	,	PUNCT
ejpam-5197	392	9	rasool	rasool	PROPN
ejpam-5197	392	10	,	,	PUNCT
ejpam-5197	392	11	g.	g.	PROPN
ejpam-5197	392	12	,	,	PUNCT
ejpam-5197	392	13	&	&	CCONJ
ejpam-5197	392	14	alrashed	alrashe	VERB
ejpam-5197	392	15	,	,	PUNCT
ejpam-5197	392	16	s.	s.	PROPN
ejpam-5197	392	17	(	(	PUNCT
ejpam-5197	392	18	2018	2018	NUM
ejpam-5197	392	19	)	)	PUNCT
ejpam-5197	392	20	.	.	PUNCT
ejpam-5197	393	1	numerical	numerical	ADJ
ejpam-5197	393	2	simulations	simulation	NOUN
ejpam-5197	393	3	of	of	ADP
ejpam-5197	393	4	reaction	reaction	NOUN
ejpam-5197	393	5	diffusion	diffusion	NOUN
ejpam-5197	393	6	equations	equation	NOUN
ejpam-5197	393	7	modeling	model	VERB
ejpam-5197	393	8	prey	prey	NOUN
ejpam-5197	393	9	–	–	PUNCT
ejpam-5197	393	10	predator	predator	NOUN
ejpam-5197	393	11	interaction	interaction	NOUN
ejpam-5197	393	12	with	with	ADP
ejpam-5197	393	13	delay	delay	NOUN
ejpam-5197	393	14	.	.	PUNCT
ejpam-5197	394	1	international	international	ADJ
ejpam-5197	394	2	journal	journal	NOUN
ejpam-5197	394	3	of	of	ADP
ejpam-5197	394	4	biomathematics	biomathematic	NOUN
ejpam-5197	394	5	,	,	PUNCT
ejpam-5197	394	6	11(04	11(04	NUM
ejpam-5197	394	7	)	)	PUNCT
ejpam-5197	394	8	,	,	PUNCT
ejpam-5197	394	9	1850054	1850054	NUM
ejpam-5197	394	10	.	.	PUNCT
ejpam-5197	395	1	[	[	X
ejpam-5197	395	2	2	2	NUM
ejpam-5197	395	3	]	]	X
ejpam-5197	395	4	baranovskii	baranovskii	PROPN
ejpam-5197	395	5	,	,	PUNCT
ejpam-5197	395	6	e.	e.	PROPN
ejpam-5197	395	7	s.	s.	PROPN
ejpam-5197	395	8	,	,	PUNCT
ejpam-5197	395	9	brizitskii	brizitskii	PROPN
ejpam-5197	395	10	,	,	PUNCT
ejpam-5197	395	11	r.	r.	PROPN
ejpam-5197	395	12	v.	v.	PROPN
ejpam-5197	395	13	,	,	PUNCT
ejpam-5197	395	14	saritskaia	saritskaia	PROPN
ejpam-5197	395	15	,	,	PUNCT
ejpam-5197	395	16	z.	z.	PROPN
ejpam-5197	395	17	v.	v.	PROPN
ejpam-5197	395	18	,	,	PUNCT
ejpam-5197	395	19	2024	2024	NUM
ejpam-5197	395	20	,	,	PUNCT
ejpam-5197	395	21	optimal	optimal	ADJ
ejpam-5197	395	22	control	control	NOUN
ejpam-5197	395	23	problems	problem	NOUN
ejpam-5197	395	24	for	for	ADP
ejpam-5197	395	25	the	the	DET
ejpam-5197	395	26	reaction	reaction	NOUN
ejpam-5197	395	27	–	–	PUNCT
ejpam-5197	395	28	diffusion	diffusion	NOUN
ejpam-5197	395	29	–	–	PUNCT
ejpam-5197	395	30	convection	convection	NOUN
ejpam-5197	395	31	equation	equation	NOUN
ejpam-5197	395	32	with	with	ADP
ejpam-5197	395	33	variable	variable	ADJ
ejpam-5197	395	34	coefficients	coefficient	NOUN
ejpam-5197	395	35	,	,	PUNCT
ejpam-5197	395	36	nonlinear	nonlinear	ADJ
ejpam-5197	395	37	analysis	analysis	NOUN
ejpam-5197	395	38	:	:	PUNCT
ejpam-5197	395	39	real	real	ADJ
ejpam-5197	395	40	world	world	NOUN
ejpam-5197	395	41	applications	application	NOUN
ejpam-5197	395	42	,	,	PUNCT
ejpam-5197	395	43	75	75	NUM
ejpam-5197	395	44	,	,	PUNCT
ejpam-5197	395	45	103979	103979	NUM
ejpam-5197	395	46	.	.	PUNCT
ejpam-5197	396	1	[	[	X
ejpam-5197	396	2	3	3	X
ejpam-5197	396	3	]	]	X
ejpam-5197	396	4	cardin	cardin	PROPN
ejpam-5197	396	5	,	,	PUNCT
ejpam-5197	396	6	f.	f.	PROPN
ejpam-5197	396	7	,	,	PUNCT
ejpam-5197	396	8	favretti	favretti	PROPN
ejpam-5197	396	9	,	,	PUNCT
ejpam-5197	396	10	m.	m.	NOUN
ejpam-5197	396	11	,	,	PUNCT
ejpam-5197	396	12	lovison	lovison	PROPN
ejpam-5197	396	13	,	,	PUNCT
ejpam-5197	396	14	a.	a.	PROPN
ejpam-5197	396	15	,	,	PUNCT
ejpam-5197	396	16	&	&	CCONJ
ejpam-5197	396	17	masci	masci	PROPN
ejpam-5197	396	18	,	,	PUNCT
ejpam-5197	396	19	l.	l.	PROPN
ejpam-5197	396	20	(	(	PUNCT
ejpam-5197	396	21	2019	2019	NUM
ejpam-5197	396	22	)	)	PUNCT
ejpam-5197	396	23	.	.	PUNCT
ejpam-5197	397	1	stochastic	stochastic	ADJ
ejpam-5197	397	2	and	and	CCONJ
ejpam-5197	397	3	geometric	geometric	ADJ
ejpam-5197	397	4	aspects	aspect	NOUN
ejpam-5197	397	5	of	of	ADP
ejpam-5197	397	6	reduced	reduced	ADJ
ejpam-5197	397	7	reaction	reaction	NOUN
ejpam-5197	397	8	–	–	PUNCT
ejpam-5197	397	9	diffusion	diffusion	NOUN
ejpam-5197	397	10	dynamics	dynamic	NOUN
ejpam-5197	397	11	.	.	PUNCT
ejpam-5197	398	1	ricerche	ricerche	PROPN
ejpam-5197	398	2	di	di	PROPN
ejpam-5197	398	3	matematica	matematica	PROPN
ejpam-5197	398	4	,	,	PUNCT
ejpam-5197	398	5	68(1	68(1	NOUN
ejpam-5197	398	6	)	)	PUNCT
ejpam-5197	398	7	,	,	PUNCT
ejpam-5197	398	8	103118	103118	NUM
ejpam-5197	398	9	.	.	PUNCT
ejpam-5197	399	1	[	[	X
ejpam-5197	399	2	4	4	NUM
ejpam-5197	399	3	]	]	X
ejpam-5197	399	4	chen	chen	PROPN
ejpam-5197	399	5	,	,	PUNCT
ejpam-5197	399	6	l.	l.	PROPN
ejpam-5197	399	7	,	,	PUNCT
ejpam-5197	399	8	wei	wei	PROPN
ejpam-5197	399	9	,	,	PUNCT
ejpam-5197	399	10	h.	h.	PROPN
ejpam-5197	399	11	,	,	PUNCT
ejpam-5197	399	12	&	&	CCONJ
ejpam-5197	399	13	wen	wen	PROPN
ejpam-5197	399	14	,	,	PUNCT
ejpam-5197	399	15	m.	m.	NOUN
ejpam-5197	399	16	(	(	PUNCT
ejpam-5197	399	17	2017	2017	NUM
ejpam-5197	399	18	)	)	PUNCT
ejpam-5197	399	19	.	.	PUNCT
ejpam-5197	400	1	an	an	DET
ejpam-5197	400	2	interface	interface	NOUN
ejpam-5197	400	3	-	-	PUNCT
ejpam-5197	400	4	fitted	fit	VERB
ejpam-5197	400	5	mesh	mesh	NOUN
ejpam-5197	400	6	generator	generator	NOUN
ejpam-5197	400	7	and	and	CCONJ
ejpam-5197	400	8	virtual	virtual	ADJ
ejpam-5197	400	9	element	element	NOUN
ejpam-5197	400	10	methods	method	NOUN
ejpam-5197	400	11	for	for	ADP
ejpam-5197	400	12	elliptic	elliptic	ADJ
ejpam-5197	400	13	interface	interface	NOUN
ejpam-5197	400	14	problems	problem	NOUN
ejpam-5197	400	15	.	.	PUNCT
ejpam-5197	401	1	journal	journal	NOUN
ejpam-5197	401	2	of	of	ADP
ejpam-5197	401	3	computational	computational	ADJ
ejpam-5197	401	4	physics	physics	NOUN
ejpam-5197	401	5	,	,	PUNCT
ejpam-5197	401	6	334	334	NUM
ejpam-5197	401	7	,	,	PUNCT
ejpam-5197	401	8	327	327	NUM
ejpam-5197	401	9	-	-	SYM
ejpam-5197	401	10	348	348	NUM
ejpam-5197	401	11	.	.	PUNCT
ejpam-5197	402	1	[	[	X
ejpam-5197	402	2	5	5	NUM
ejpam-5197	402	3	]	]	X
ejpam-5197	402	4	doha	doha	PROPN
ejpam-5197	402	5	,	,	PUNCT
ejpam-5197	402	6	e.	e.	PROPN
ejpam-5197	402	7	h.	h.	PROPN
ejpam-5197	402	8	,	,	PUNCT
ejpam-5197	402	9	&	&	CCONJ
ejpam-5197	402	10	bhrawy	bhrawy	PROPN
ejpam-5197	402	11	,	,	PUNCT
ejpam-5197	402	12	a.	a.	NOUN
ejpam-5197	402	13	h.	h.	PROPN
ejpam-5197	402	14	(	(	PUNCT
ejpam-5197	402	15	2008	2008	NUM
ejpam-5197	402	16	)	)	PUNCT
ejpam-5197	402	17	.	.	PUNCT
ejpam-5197	403	1	efficient	efficient	ADJ
ejpam-5197	403	2	spectral	spectral	ADJ
ejpam-5197	403	3	-	-	PUNCT
ejpam-5197	403	4	galerkin	galerkin	ADJ
ejpam-5197	403	5	algorithms	algorithms	NOUN
ejpam-5197	403	6	for	for	ADP
ejpam-5197	403	7	direct	direct	ADJ
ejpam-5197	403	8	solution	solution	NOUN
ejpam-5197	403	9	of	of	ADP
ejpam-5197	403	10	fourth	fourth	ADJ
ejpam-5197	403	11	-	-	PUNCT
ejpam-5197	403	12	order	order	NOUN
ejpam-5197	403	13	differential	differential	ADJ
ejpam-5197	403	14	equations	equation	NOUN
ejpam-5197	403	15	using	use	VERB
ejpam-5197	403	16	jacobi	jacobi	PROPN
ejpam-5197	403	17	polynomials	polynomial	NOUN
ejpam-5197	403	18	.	.	PUNCT
ejpam-5197	404	1	applied	apply	VERB
ejpam-5197	404	2	numerical	numerical	ADJ
ejpam-5197	404	3	mathematics	mathematic	NOUN
ejpam-5197	404	4	,	,	PUNCT
ejpam-5197	404	5	58(8	58(8	NUM
ejpam-5197	404	6	)	)	PUNCT
ejpam-5197	404	7	,	,	PUNCT
ejpam-5197	404	8	1224	1224	NUM
ejpam-5197	404	9	-	-	SYM
ejpam-5197	404	10	1244	1244	NUM
ejpam-5197	404	11	.	.	PUNCT
ejpam-5197	405	1	references	reference	NOUN
ejpam-5197	405	2	1582	1582	NUM
ejpam-5197	405	3	[	[	X
ejpam-5197	405	4	6	6	NUM
ejpam-5197	405	5	]	]	PUNCT
ejpam-5197	405	6	faria	faria	PROPN
ejpam-5197	405	7	,	,	PUNCT
ejpam-5197	405	8	t.	t.	PROPN
ejpam-5197	405	9	,	,	PUNCT
ejpam-5197	405	10	&	&	CCONJ
ejpam-5197	405	11	trofimchuk	trofimchuk	PROPN
ejpam-5197	405	12	,	,	PUNCT
ejpam-5197	405	13	s.	s.	PROPN
ejpam-5197	405	14	(	(	PUNCT
ejpam-5197	405	15	2006	2006	NUM
ejpam-5197	405	16	)	)	PUNCT
ejpam-5197	405	17	.	.	PUNCT
ejpam-5197	406	1	nonmonotone	nonmonotone	NOUN
ejpam-5197	406	2	traveling	travel	VERB
ejpam-5197	406	3	waves	wave	NOUN
ejpam-5197	406	4	in	in	ADP
ejpam-5197	406	5	a	a	DET
ejpam-5197	406	6	single	single	ADJ
ejpam-5197	406	7	species	specie	NOUN
ejpam-5197	406	8	reaction	reaction	NOUN
ejpam-5197	406	9	–	–	PUNCT
ejpam-5197	406	10	diffusion	diffusion	NOUN
ejpam-5197	406	11	equation	equation	NOUN
ejpam-5197	406	12	with	with	ADP
ejpam-5197	406	13	delay	delay	NOUN
ejpam-5197	406	14	.	.	PUNCT
ejpam-5197	407	1	journal	journal	PROPN
ejpam-5197	407	2	of	of	ADP
ejpam-5197	407	3	differential	differential	ADJ
ejpam-5197	407	4	equations	equation	NOUN
ejpam-5197	407	5	,	,	PUNCT
ejpam-5197	407	6	228(1	228(1	NUM
ejpam-5197	407	7	)	)	PUNCT
ejpam-5197	407	8	,	,	PUNCT
ejpam-5197	407	9	357376	357376	NUM
ejpam-5197	407	10	.	.	PUNCT
ejpam-5197	408	1	[	[	X
ejpam-5197	408	2	7	7	NUM
ejpam-5197	408	3	]	]	X
ejpam-5197	408	4	gourley	gourley	NOUN
ejpam-5197	408	5	,	,	PUNCT
ejpam-5197	408	6	s.	s.	PROPN
ejpam-5197	408	7	a.	a.	PROPN
ejpam-5197	408	8	,	,	PUNCT
ejpam-5197	408	9	&	&	CCONJ
ejpam-5197	408	10	kuang	kuang	PROPN
ejpam-5197	408	11	,	,	PUNCT
ejpam-5197	408	12	y.	y.	PROPN
ejpam-5197	408	13	(	(	PUNCT
ejpam-5197	408	14	2004	2004	NUM
ejpam-5197	408	15	)	)	PUNCT
ejpam-5197	408	16	.	.	PUNCT
ejpam-5197	409	1	a	a	DET
ejpam-5197	409	2	delay	delay	NOUN
ejpam-5197	409	3	reaction	reaction	NOUN
ejpam-5197	409	4	-	-	PUNCT
ejpam-5197	409	5	diffusion	diffusion	NOUN
ejpam-5197	409	6	model	model	NOUN
ejpam-5197	409	7	of	of	ADP
ejpam-5197	409	8	the	the	DET
ejpam-5197	409	9	spread	spread	NOUN
ejpam-5197	409	10	of	of	ADP
ejpam-5197	409	11	bacteriophage	bacteriophage	NOUN
ejpam-5197	409	12	infection	infection	NOUN
ejpam-5197	409	13	.	.	PUNCT
ejpam-5197	410	1	siam	siam	PROPN
ejpam-5197	410	2	journal	journal	PROPN
ejpam-5197	410	3	on	on	ADP
ejpam-5197	410	4	applied	apply	VERB
ejpam-5197	410	5	mathematics	mathematic	NOUN
ejpam-5197	410	6	,	,	PUNCT
ejpam-5197	410	7	65(2	65(2	NOUN
ejpam-5197	410	8	)	)	PUNCT
ejpam-5197	410	9	,	,	PUNCT
ejpam-5197	410	10	550	550	NUM
ejpam-5197	410	11	-	-	SYM
ejpam-5197	410	12	566	566	NUM
ejpam-5197	410	13	.	.	PUNCT
ejpam-5197	411	1	[	[	X
ejpam-5197	411	2	8	8	NUM
ejpam-5197	411	3	]	]	X
ejpam-5197	411	4	huang	huang	PROPN
ejpam-5197	411	5	,	,	PUNCT
ejpam-5197	411	6	y.	y.	PROPN
ejpam-5197	411	7	,	,	PUNCT
ejpam-5197	411	8	mohammadi	mohammadi	PROPN
ejpam-5197	411	9	zadeh	zadeh	PROPN
ejpam-5197	411	10	,	,	PUNCT
ejpam-5197	411	11	f.	f.	PROPN
ejpam-5197	411	12	,	,	PUNCT
ejpam-5197	411	13	noori	noori	PROPN
ejpam-5197	411	14	skandari	skandari	PROPN
ejpam-5197	411	15	,	,	PUNCT
ejpam-5197	411	16	m.h	m.h	PROPN
ejpam-5197	411	17	.	.	PROPN
ejpam-5197	411	18	,	,	PUNCT
ejpam-5197	411	19	ahsani	ahsani	PROPN
ejpam-5197	411	20	tehrani	tehrani	PROPN
ejpam-5197	411	21	,	,	PUNCT
ejpam-5197	411	22	h.	h.	PROPN
ejpam-5197	411	23	,	,	PUNCT
ejpam-5197	411	24	tohidi	tohidi	PROPN
ejpam-5197	411	25	e.	e.	PROPN
ejpam-5197	411	26	(	(	PUNCT
ejpam-5197	411	27	2021	2021	NUM
ejpam-5197	411	28	)	)	PUNCT
ejpam-5197	411	29	,	,	PUNCT
ejpam-5197	411	30	space	space	NOUN
ejpam-5197	411	31	–	–	PUNCT
ejpam-5197	411	32	time	time	NOUN
ejpam-5197	411	33	chebyshev	chebyshev	NOUN
ejpam-5197	411	34	spectral	spectral	ADJ
ejpam-5197	411	35	collocation	collocation	NOUN
ejpam-5197	411	36	method	method	NOUN
ejpam-5197	411	37	for	for	ADP
ejpam-5197	411	38	nonlinear	nonlinear	ADJ
ejpam-5197	411	39	timefractional	timefractional	ADJ
ejpam-5197	411	40	burgers	burger	NOUN
ejpam-5197	411	41	equations	equation	NOUN
ejpam-5197	411	42	based	base	VERB
ejpam-5197	411	43	on	on	ADP
ejpam-5197	411	44	efficient	efficient	ADJ
ejpam-5197	411	45	basis	basis	NOUN
ejpam-5197	411	46	functions	function	NOUN
ejpam-5197	411	47	,	,	PUNCT
ejpam-5197	411	48	44	44	NUM
ejpam-5197	411	49	,	,	PUNCT
ejpam-5197	411	50	5	5	NUM
ejpam-5197	411	51	,	,	PUNCT
ejpam-5197	411	52	4117	4117	NUM
ejpam-5197	411	53	-	-	SYM
ejpam-5197	411	54	4136	4136	NUM
ejpam-5197	411	55	.	.	PUNCT
ejpam-5197	412	1	[	[	X
ejpam-5197	412	2	9	9	NUM
ejpam-5197	412	3	]	]	X
ejpam-5197	412	4	heidari	heidari	ADJ
ejpam-5197	412	5	,	,	PUNCT
ejpam-5197	412	6	m.	m.	NOUN
ejpam-5197	412	7	,	,	PUNCT
ejpam-5197	412	8	ghovatmand	ghovatmand	NOUN
ejpam-5197	412	9	,	,	PUNCT
ejpam-5197	412	10	m.	m.	NOUN
ejpam-5197	412	11	,	,	PUNCT
ejpam-5197	412	12	noori	noori	PROPN
ejpam-5197	412	13	skandari	skandari	PROPN
ejpam-5197	412	14	,	,	PUNCT
ejpam-5197	412	15	m.h	m.h	PROPN
ejpam-5197	412	16	.	.	PROPN
ejpam-5197	412	17	,	,	PUNCT
ejpam-5197	412	18	baleanu	baleanu	PROPN
ejpam-5197	412	19	,	,	PUNCT
ejpam-5197	412	20	d.	d.	PROPN
ejpam-5197	412	21	(	(	PUNCT
ejpam-5197	412	22	2022	2022	NUM
ejpam-5197	412	23	)	)	PUNCT
ejpam-5197	412	24	numerical	numerical	ADJ
ejpam-5197	412	25	solution	solution	NOUN
ejpam-5197	412	26	of	of	ADP
ejpam-5197	412	27	reaction	reaction	NOUN
ejpam-5197	412	28	–	–	PUNCT
ejpam-5197	412	29	diffusion	diffusion	NOUN
ejpam-5197	412	30	equations	equation	NOUN
ejpam-5197	412	31	with	with	ADP
ejpam-5197	412	32	convergence	convergence	NOUN
ejpam-5197	412	33	analysis	analysis	NOUN
ejpam-5197	412	34	.	.	PUNCT
ejpam-5197	413	1	j	j	PROPN
ejpam-5197	413	2	nonlinear	nonlinear	PROPN
ejpam-5197	413	3	math	math	PROPN
ejpam-5197	413	4	phys	phy	NOUN
ejpam-5197	413	5	,	,	PUNCT
ejpam-5197	413	6	30	30	NUM
ejpam-5197	413	7	,	,	PUNCT
ejpam-5197	413	8	384–399	384–399	NUM
ejpam-5197	413	9	.	.	PUNCT
ejpam-5197	414	1	[	[	X
ejpam-5197	414	2	10	10	NUM
ejpam-5197	414	3	]	]	X
ejpam-5197	414	4	jafari	jafari	X
ejpam-5197	414	5	,	,	PUNCT
ejpam-5197	414	6	h.	h.	PROPN
ejpam-5197	414	7	,	,	PUNCT
ejpam-5197	414	8	mahmoudi	mahmoudi	NOUN
ejpam-5197	414	9	,	,	PUNCT
ejpam-5197	414	10	m.	m.	NOUN
ejpam-5197	414	11	,	,	PUNCT
ejpam-5197	414	12	noori	noori	PROPN
ejpam-5197	414	13	skandari	skandari	PROPN
ejpam-5197	414	14	,	,	PUNCT
ejpam-5197	414	15	m.h	m.h	PROPN
ejpam-5197	414	16	.	.	PROPN
ejpam-5197	414	17	,	,	PUNCT
ejpam-5197	414	18	(	(	PUNCT
ejpam-5197	414	19	2021	2021	NUM
ejpam-5197	414	20	)	)	PUNCT
ejpam-5197	414	21	,	,	PUNCT
ejpam-5197	414	22	a	a	DET
ejpam-5197	414	23	new	new	ADJ
ejpam-5197	414	24	numerical	numerical	ADJ
ejpam-5197	414	25	method	method	NOUN
ejpam-5197	414	26	to	to	PART
ejpam-5197	414	27	solve	solve	VERB
ejpam-5197	414	28	pantograph	pantograph	NOUN
ejpam-5197	414	29	delay	delay	NOUN
ejpam-5197	414	30	differential	differential	ADJ
ejpam-5197	414	31	equations	equation	NOUN
ejpam-5197	414	32	with	with	ADP
ejpam-5197	414	33	convergence	convergence	NOUN
ejpam-5197	414	34	analysis	analysis	NOUN
ejpam-5197	414	35	.	.	PUNCT
ejpam-5197	415	1	adv	adv	PROPN
ejpam-5197	415	2	differ	differ	VERB
ejpam-5197	415	3	equ	equ	PROPN
ejpam-5197	415	4	2021	2021	NUM
ejpam-5197	415	5	,	,	PUNCT
ejpam-5197	415	6	129	129	NUM
ejpam-5197	415	7	,	,	PUNCT
ejpam-5197	415	8	https://doi.org/10.1186/s13662-021-03293-0	https://doi.org/10.1186/s13662-021-03293-0	NUM
ejpam-5197	415	9	.	.	PUNCT
ejpam-5197	416	1	[	[	X
ejpam-5197	416	2	11	11	NUM
ejpam-5197	416	3	]	]	X
ejpam-5197	416	4	kirthiga	kirthiga	PROPN
ejpam-5197	416	5	,	,	PUNCT
ejpam-5197	416	6	m.	m.	NOUN
ejpam-5197	416	7	,	,	PUNCT
ejpam-5197	416	8	balamurugan	balamurugan	VERB
ejpam-5197	416	9	,	,	PUNCT
ejpam-5197	416	10	s.	s.	PROPN
ejpam-5197	416	11	,	,	PUNCT
ejpam-5197	416	12	visuvasam	visuvasam	PROPN
ejpam-5197	416	13	,	,	PUNCT
ejpam-5197	416	14	j.	j.	PROPN
ejpam-5197	416	15	,	,	PUNCT
ejpam-5197	416	16	rajendran	rajendran	PROPN
ejpam-5197	416	17	,	,	PUNCT
ejpam-5197	416	18	l.	l.	PROPN
ejpam-5197	416	19	,	,	PUNCT
ejpam-5197	416	20	and	and	CCONJ
ejpam-5197	416	21	marwan	marwan	PROPN
ejpam-5197	416	22	,	,	PUNCT
ejpam-5197	416	23	a.	a.	NOUN
ejpam-5197	416	24	,	,	PUNCT
ejpam-5197	416	25	(	(	PUNCT
ejpam-5197	416	26	2021	2021	NUM
ejpam-5197	416	27	)	)	PUNCT
ejpam-5197	416	28	.	.	PUNCT
ejpam-5197	417	1	theoretical	theoretical	ADJ
ejpam-5197	417	2	analysis	analysis	NOUN
ejpam-5197	417	3	of	of	ADP
ejpam-5197	417	4	single	single	ADJ
ejpam-5197	417	5	-	-	PUNCT
ejpam-5197	417	6	stage	stage	NOUN
ejpam-5197	417	7	and	and	CCONJ
ejpam-5197	417	8	multi	multi	ADJ
ejpam-5197	417	9	-	-	ADJ
ejpam-5197	417	10	stage	stage	ADJ
ejpam-5197	417	11	monod	monod	NOUN
ejpam-5197	417	12	model	model	NOUN
ejpam-5197	417	13	of	of	ADP
ejpam-5197	417	14	landfill	landfill	NOUN
ejpam-5197	417	15	degradation	degradation	NOUN
ejpam-5197	417	16	through	through	ADP
ejpam-5197	417	17	mathematical	mathematical	ADJ
ejpam-5197	417	18	modelling	modelling	NOUN
ejpam-5197	417	19	,	,	PUNCT
ejpam-5197	417	20	7	7	NUM
ejpam-5197	417	21	(	(	PUNCT
ejpam-5197	417	22	1	1	NUM
ejpam-5197	417	23	)	)	PUNCT
ejpam-5197	417	24	,	,	PUNCT
ejpam-5197	417	25	48	48	NUM
ejpam-5197	417	26	-	-	SYM
ejpam-5197	417	27	62	62	NUM
ejpam-5197	417	28	.	.	PUNCT
ejpam-5197	418	1	[	[	X
ejpam-5197	418	2	12	12	NUM
ejpam-5197	418	3	]	]	PUNCT
ejpam-5197	418	4	koto	koto	NOUN
ejpam-5197	418	5	,	,	PUNCT
ejpam-5197	418	6	t.	t.	PROPN
ejpam-5197	418	7	(	(	PUNCT
ejpam-5197	418	8	2008	2008	NUM
ejpam-5197	418	9	)	)	PUNCT
ejpam-5197	418	10	.	.	PUNCT
ejpam-5197	419	1	imex	imex	PROPN
ejpam-5197	419	2	runge	runge	PROPN
ejpam-5197	419	3	–	–	PUNCT
ejpam-5197	419	4	kutta	kutta	NOUN
ejpam-5197	419	5	schemes	scheme	NOUN
ejpam-5197	419	6	for	for	ADP
ejpam-5197	419	7	reaction	reaction	NOUN
ejpam-5197	419	8	-	-	PUNCT
ejpam-5197	419	9	diffusion	diffusion	NOUN
ejpam-5197	419	10	equations	equation	NOUN
ejpam-5197	419	11	.	.	PUNCT
ejpam-5197	420	1	journal	journal	NOUN
ejpam-5197	420	2	of	of	ADP
ejpam-5197	420	3	computational	computational	ADJ
ejpam-5197	420	4	and	and	CCONJ
ejpam-5197	420	5	applied	applied	ADJ
ejpam-5197	420	6	mathematics	mathematic	NOUN
ejpam-5197	420	7	,	,	PUNCT
ejpam-5197	420	8	215(1	215(1	NUM
ejpam-5197	420	9	)	)	PUNCT
ejpam-5197	420	10	,	,	PUNCT
ejpam-5197	420	11	182	182	NUM
ejpam-5197	420	12	-	-	SYM
ejpam-5197	420	13	195	195	NUM
ejpam-5197	420	14	.	.	PUNCT
ejpam-5197	421	1	[	[	X
ejpam-5197	421	2	13	13	NUM
ejpam-5197	421	3	]	]	X
ejpam-5197	421	4	kuttler	kuttler	NOUN
ejpam-5197	421	5	,	,	PUNCT
ejpam-5197	421	6	c.	c.	PROPN
ejpam-5197	421	7	(	(	PUNCT
ejpam-5197	421	8	2017	2017	NUM
ejpam-5197	421	9	)	)	PUNCT
ejpam-5197	421	10	.	.	PUNCT
ejpam-5197	422	1	reaction	reaction	NOUN
ejpam-5197	422	2	diffusion	diffusion	NOUN
ejpam-5197	422	3	equations	equation	NOUN
ejpam-5197	422	4	and	and	CCONJ
ejpam-5197	422	5	their	their	PRON
ejpam-5197	422	6	application	application	NOUN
ejpam-5197	422	7	on	on	ADP
ejpam-5197	422	8	bacterial	bacterial	ADJ
ejpam-5197	422	9	communication	communication	NOUN
ejpam-5197	422	10	.	.	PUNCT
ejpam-5197	423	1	in	in	ADP
ejpam-5197	423	2	handbook	handbook	NOUN
ejpam-5197	423	3	of	of	ADP
ejpam-5197	423	4	statistics	statistic	NOUN
ejpam-5197	423	5	,	,	PUNCT
ejpam-5197	423	6	37	37	NUM
ejpam-5197	423	7	,	,	PUNCT
ejpam-5197	423	8	55	55	NUM
ejpam-5197	423	9	-	-	SYM
ejpam-5197	423	10	91	91	NUM
ejpam-5197	423	11	,	,	PUNCT
ejpam-5197	423	12	elsevier	elsevier	NOUN
ejpam-5197	423	13	.	.	PUNCT
ejpam-5197	424	1	[	[	X
ejpam-5197	424	2	14	14	NUM
ejpam-5197	424	3	]	]	X
ejpam-5197	424	4	lan	lan	PROPN
ejpam-5197	424	5	,	,	PUNCT
ejpam-5197	424	6	k.	k.	PROPN
ejpam-5197	424	7	q.	q.	PROPN
ejpam-5197	424	8	,	,	PUNCT
ejpam-5197	424	9	&	&	CCONJ
ejpam-5197	424	10	wu	wu	PROPN
ejpam-5197	424	11	,	,	PUNCT
ejpam-5197	424	12	j.	j.	PROPN
ejpam-5197	424	13	h.	h.	PROPN
ejpam-5197	424	14	(	(	PUNCT
ejpam-5197	424	15	2003	2003	NUM
ejpam-5197	424	16	)	)	PUNCT
ejpam-5197	424	17	.	.	PUNCT
ejpam-5197	425	1	traveling	travel	VERB
ejpam-5197	425	2	wavefronts	wavefront	NOUN
ejpam-5197	425	3	of	of	ADP
ejpam-5197	425	4	scalar	scalar	ADJ
ejpam-5197	425	5	reaction	reaction	NOUN
ejpam-5197	425	6	-	-	PUNCT
ejpam-5197	425	7	diffusion	diffusion	NOUN
ejpam-5197	425	8	equations	equation	NOUN
ejpam-5197	425	9	with	with	ADP
ejpam-5197	425	10	and	and	CCONJ
ejpam-5197	425	11	without	without	ADP
ejpam-5197	425	12	delays	delay	NOUN
ejpam-5197	425	13	.	.	PUNCT
ejpam-5197	426	1	nonlinear	nonlinear	ADJ
ejpam-5197	426	2	analysis	analysis	NOUN
ejpam-5197	426	3	:	:	PUNCT
ejpam-5197	426	4	real	real	ADJ
ejpam-5197	426	5	world	world	NOUN
ejpam-5197	426	6	applications	application	NOUN
ejpam-5197	426	7	,	,	PUNCT
ejpam-5197	426	8	4(1	4(1	NOUN
ejpam-5197	426	9	)	)	PUNCT
ejpam-5197	426	10	,	,	PUNCT
ejpam-5197	426	11	173	173	NUM
ejpam-5197	426	12	-	-	SYM
ejpam-5197	426	13	188	188	NUM
ejpam-5197	426	14	.	.	PUNCT
ejpam-5197	427	1	[	[	X
ejpam-5197	427	2	15	15	NUM
ejpam-5197	427	3	]	]	X
ejpam-5197	427	4	li	li	PROPN
ejpam-5197	427	5	,	,	PUNCT
ejpam-5197	427	6	d.	d.	PROPN
ejpam-5197	427	7	,	,	PUNCT
ejpam-5197	427	8	zhang	zhang	PROPN
ejpam-5197	427	9	,	,	PUNCT
ejpam-5197	427	10	c.	c.	PROPN
ejpam-5197	427	11	,	,	PUNCT
ejpam-5197	427	12	&	&	CCONJ
ejpam-5197	427	13	wen	wen	PROPN
ejpam-5197	427	14	,	,	PUNCT
ejpam-5197	427	15	j.	j.	PROPN
ejpam-5197	427	16	(	(	PUNCT
ejpam-5197	427	17	2015	2015	NUM
ejpam-5197	427	18	)	)	PUNCT
ejpam-5197	427	19	.	.	PUNCT
ejpam-5197	428	1	a	a	DET
ejpam-5197	428	2	note	note	NOUN
ejpam-5197	428	3	on	on	ADP
ejpam-5197	428	4	compact	compact	ADJ
ejpam-5197	428	5	finite	finite	ADJ
ejpam-5197	428	6	difference	difference	NOUN
ejpam-5197	428	7	method	method	NOUN
ejpam-5197	428	8	for	for	ADP
ejpam-5197	428	9	reaction	reaction	NOUN
ejpam-5197	428	10	–	–	PUNCT
ejpam-5197	428	11	diffusion	diffusion	NOUN
ejpam-5197	428	12	equations	equation	NOUN
ejpam-5197	428	13	with	with	ADP
ejpam-5197	428	14	delay	delay	NOUN
ejpam-5197	428	15	.	.	PUNCT
ejpam-5197	429	1	applied	apply	VERB
ejpam-5197	429	2	mathematical	mathematical	ADJ
ejpam-5197	429	3	modelling	modelling	NOUN
ejpam-5197	429	4	,	,	PUNCT
ejpam-5197	429	5	39(5	39(5	PROPN
ejpam-5197	429	6	-	-	SYM
ejpam-5197	429	7	6	6	NUM
ejpam-5197	429	8	)	)	PUNCT
ejpam-5197	429	9	,	,	PUNCT
ejpam-5197	429	10	1749	1749	NUM
ejpam-5197	429	11	-	-	SYM
ejpam-5197	429	12	1754	1754	NUM
ejpam-5197	429	13	.	.	PUNCT
ejpam-5197	430	1	[	[	X
ejpam-5197	430	2	16	16	NUM
ejpam-5197	430	3	]	]	X
ejpam-5197	430	4	li	li	PROPN
ejpam-5197	430	5	,	,	PUNCT
ejpam-5197	430	6	d.	d.	PROPN
ejpam-5197	430	7	,	,	PUNCT
ejpam-5197	430	8	zhang	zhang	PROPN
ejpam-5197	430	9	,	,	PUNCT
ejpam-5197	430	10	c.	c.	PROPN
ejpam-5197	430	11	,	,	PUNCT
ejpam-5197	430	12	&	&	CCONJ
ejpam-5197	430	13	qin	qin	PROPN
ejpam-5197	430	14	,	,	PUNCT
ejpam-5197	430	15	h.	h.	PROPN
ejpam-5197	430	16	(	(	PUNCT
ejpam-5197	430	17	2011	2011	NUM
ejpam-5197	430	18	)	)	PUNCT
ejpam-5197	430	19	.	.	PUNCT
ejpam-5197	431	1	ldg	ldg	PROPN
ejpam-5197	431	2	method	method	NOUN
ejpam-5197	431	3	for	for	ADP
ejpam-5197	431	4	reaction	reaction	NOUN
ejpam-5197	431	5	-	-	PUNCT
ejpam-5197	431	6	diffusion	diffusion	NOUN
ejpam-5197	431	7	dynamical	dynamical	ADJ
ejpam-5197	431	8	systems	system	NOUN
ejpam-5197	431	9	with	with	ADP
ejpam-5197	431	10	time	time	NOUN
ejpam-5197	431	11	delay	delay	NOUN
ejpam-5197	431	12	.	.	PUNCT
ejpam-5197	432	1	applied	apply	VERB
ejpam-5197	432	2	mathematics	mathematic	NOUN
ejpam-5197	432	3	and	and	CCONJ
ejpam-5197	432	4	computation	computation	NOUN
ejpam-5197	432	5	,	,	PUNCT
ejpam-5197	432	6	217(22	217(22	NUM
ejpam-5197	432	7	)	)	PUNCT
ejpam-5197	432	8	,	,	PUNCT
ejpam-5197	432	9	9173	9173	NUM
ejpam-5197	432	10	-	-	SYM
ejpam-5197	432	11	9181	9181	NUM
ejpam-5197	432	12	.	.	PUNCT
ejpam-5197	433	1	[	[	X
ejpam-5197	433	2	17	17	NUM
ejpam-5197	433	3	]	]	X
ejpam-5197	433	4	lin	lin	PROPN
ejpam-5197	433	5	,	,	PUNCT
ejpam-5197	433	6	g.	g.	PROPN
ejpam-5197	433	7	,	,	PUNCT
ejpam-5197	433	8	&	&	CCONJ
ejpam-5197	433	9	li	li	PROPN
ejpam-5197	433	10	,	,	PUNCT
ejpam-5197	433	11	w.	w.	PROPN
ejpam-5197	433	12	t.	t.	PROPN
ejpam-5197	433	13	(	(	PUNCT
ejpam-5197	433	14	2009	2009	NUM
ejpam-5197	433	15	)	)	PUNCT
ejpam-5197	433	16	.	.	PUNCT
ejpam-5197	434	1	traveling	travel	VERB
ejpam-5197	434	2	wavefronts	wavefront	NOUN
ejpam-5197	434	3	of	of	ADP
ejpam-5197	434	4	belousov	belousov	PROPN
ejpam-5197	434	5	-	-	PUNCT
ejpam-5197	434	6	zhabotinskii	zhabotinskii	ADJ
ejpam-5197	434	7	system	system	NOUN
ejpam-5197	434	8	with	with	ADP
ejpam-5197	434	9	diffusion	diffusion	NOUN
ejpam-5197	434	10	and	and	CCONJ
ejpam-5197	434	11	delay	delay	NOUN
ejpam-5197	434	12	.	.	PUNCT
ejpam-5197	435	1	applied	apply	VERB
ejpam-5197	435	2	mathematics	mathematics	NOUN
ejpam-5197	435	3	letters	letter	NOUN
ejpam-5197	435	4	,	,	PUNCT
ejpam-5197	435	5	22(3	22(3	NUM
ejpam-5197	435	6	)	)	PUNCT
ejpam-5197	435	7	,	,	PUNCT
ejpam-5197	435	8	341	341	NUM
ejpam-5197	435	9	-	-	SYM
ejpam-5197	435	10	346	346	NUM
ejpam-5197	435	11	.	.	PUNCT
ejpam-5197	436	1	[	[	X
ejpam-5197	436	2	18	18	NUM
ejpam-5197	436	3	]	]	X
ejpam-5197	436	4	ling	ling	PROPN
ejpam-5197	436	5	,	,	PUNCT
ejpam-5197	436	6	z.	z.	PROPN
ejpam-5197	436	7	,	,	PUNCT
ejpam-5197	436	8	lin	lin	PROPN
ejpam-5197	436	9	,	,	PUNCT
ejpam-5197	436	10	z.	z.	PROPN
ejpam-5197	436	11	,	,	PUNCT
ejpam-5197	436	12	(	(	PUNCT
ejpam-5197	436	13	2010	2010	NUM
ejpam-5197	436	14	)	)	PUNCT
ejpam-5197	436	15	.	.	PUNCT
ejpam-5197	437	1	traveling	travel	VERB
ejpam-5197	437	2	wavefront	wavefront	ADJ
ejpam-5197	437	3	in	in	ADP
ejpam-5197	437	4	a	a	DET
ejpam-5197	437	5	hematopoiesis	hematopoiesis	NOUN
ejpam-5197	437	6	model	model	NOUN
ejpam-5197	437	7	with	with	ADP
ejpam-5197	437	8	time	time	NOUN
ejpam-5197	437	9	delay	delay	NOUN
ejpam-5197	437	10	,	,	PUNCT
ejpam-5197	437	11	appl	appl	PROPN
ejpam-5197	437	12	.	.	PROPN
ejpam-5197	437	13	math	math	PROPN
ejpam-5197	437	14	.	.	PUNCT
ejpam-5197	438	1	lett	lett	PROPN
ejpam-5197	438	2	.	.	PROPN
ejpam-5197	439	1	23	23	NUM
ejpam-5197	439	2	,	,	PUNCT
ejpam-5197	439	3	426–431	426–431	NUM
ejpam-5197	439	4	.	.	PUNCT
ejpam-5197	440	1	references	reference	NOUN
ejpam-5197	440	2	1583	1583	NUM
ejpam-5197	440	3	[	[	X
ejpam-5197	440	4	19	19	NUM
ejpam-5197	440	5	]	]	X
ejpam-5197	440	6	liu	liu	PROPN
ejpam-5197	440	7	,	,	PUNCT
ejpam-5197	440	8	b.	b.	PROPN
ejpam-5197	440	9	,	,	PUNCT
ejpam-5197	440	10	&	&	CCONJ
ejpam-5197	440	11	zhang	zhang	PROPN
ejpam-5197	440	12	,	,	PUNCT
ejpam-5197	440	13	c.	c.	PROPN
ejpam-5197	440	14	,	,	PUNCT
ejpam-5197	440	15	(	(	PUNCT
ejpam-5197	440	16	2015	2015	NUM
ejpam-5197	440	17	)	)	PUNCT
ejpam-5197	440	18	.	.	PUNCT
ejpam-5197	441	1	a	a	DET
ejpam-5197	441	2	spectral	spectral	ADJ
ejpam-5197	441	3	galerkin	galerkin	ADJ
ejpam-5197	441	4	method	method	NOUN
ejpam-5197	441	5	for	for	ADP
ejpam-5197	441	6	nonlinear	nonlinear	ADJ
ejpam-5197	441	7	delay	delay	NOUN
ejpam-5197	441	8	convection	convection	NOUN
ejpam-5197	441	9	-	-	PUNCT
ejpam-5197	441	10	diffusion	diffusion	NOUN
ejpam-5197	441	11	-	-	PUNCT
ejpam-5197	441	12	reaction	reaction	NOUN
ejpam-5197	441	13	equations	equation	NOUN
ejpam-5197	441	14	.	.	PUNCT
ejpam-5197	442	1	computers	computer	NOUN
ejpam-5197	442	2	&	&	CCONJ
ejpam-5197	442	3	mathematics	mathematics	PROPN
ejpam-5197	442	4	with	with	ADP
ejpam-5197	442	5	applications	application	NOUN
ejpam-5197	442	6	,	,	PUNCT
ejpam-5197	442	7	69(8	69(8	ADV
ejpam-5197	442	8	)	)	PUNCT
ejpam-5197	442	9	,	,	PUNCT
ejpam-5197	442	10	709	709	NUM
ejpam-5197	442	11	-	-	SYM
ejpam-5197	442	12	724	724	NUM
ejpam-5197	442	13	.	.	PUNCT
ejpam-5197	443	1	[	[	X
ejpam-5197	443	2	20	20	NUM
ejpam-5197	443	3	]	]	X
ejpam-5197	443	4	liu	liu	PROPN
ejpam-5197	443	5	,	,	PUNCT
ejpam-5197	443	6	l.	l.	PROPN
ejpam-5197	443	7	,	,	PUNCT
ejpam-5197	443	8	&	&	CCONJ
ejpam-5197	443	9	nieto	nieto	PROPN
ejpam-5197	443	10	,	,	PUNCT
ejpam-5197	443	11	j.	j.	PROPN
ejpam-5197	443	12	j.	j.	PROPN
ejpam-5197	443	13	,	,	PUNCT
ejpam-5197	443	14	(	(	PUNCT
ejpam-5197	443	15	2023	2023	NUM
ejpam-5197	443	16	)	)	PUNCT
ejpam-5197	443	17	.	.	PUNCT
ejpam-5197	444	1	dynamics	dynamic	NOUN
ejpam-5197	444	2	of	of	ADP
ejpam-5197	444	3	fractional	fractional	ADJ
ejpam-5197	444	4	delayed	delay	VERB
ejpam-5197	444	5	reaction	reaction	NOUN
ejpam-5197	444	6	-	-	PUNCT
ejpam-5197	444	7	diffusion	diffusion	NOUN
ejpam-5197	444	8	equations	equation	NOUN
ejpam-5197	444	9	.	.	PUNCT
ejpam-5197	445	1	entropy	entropy	PROPN
ejpam-5197	445	2	,	,	PUNCT
ejpam-5197	445	3	25(6	25(6	NOUN
ejpam-5197	445	4	)	)	PUNCT
ejpam-5197	445	5	,	,	PUNCT
ejpam-5197	445	6	950	950	NUM
ejpam-5197	445	7	.	.	PUNCT
ejpam-5197	446	1	[	[	X
ejpam-5197	446	2	21	21	NUM
ejpam-5197	446	3	]	]	X
ejpam-5197	446	4	lv	lv	PROPN
ejpam-5197	446	5	,	,	PUNCT
ejpam-5197	446	6	g.	g.	PROPN
ejpam-5197	446	7	,	,	PUNCT
ejpam-5197	446	8	&	&	CCONJ
ejpam-5197	446	9	wang	wang	PROPN
ejpam-5197	446	10	,	,	PUNCT
ejpam-5197	446	11	m.	m.	NOUN
ejpam-5197	446	12	,	,	PUNCT
ejpam-5197	446	13	(	(	PUNCT
ejpam-5197	446	14	2012	2012	NUM
ejpam-5197	446	15	)	)	PUNCT
ejpam-5197	446	16	.	.	PUNCT
ejpam-5197	447	1	nonlinear	nonlinear	ADJ
ejpam-5197	447	2	stability	stability	NOUN
ejpam-5197	447	3	of	of	ADP
ejpam-5197	447	4	traveling	travel	VERB
ejpam-5197	447	5	wave	wave	NOUN
ejpam-5197	447	6	fronts	front	NOUN
ejpam-5197	447	7	for	for	ADP
ejpam-5197	447	8	nonlocal	nonlocal	ADJ
ejpam-5197	447	9	delayed	delay	VERB
ejpam-5197	447	10	reaction	reaction	NOUN
ejpam-5197	447	11	–	–	PUNCT
ejpam-5197	447	12	diffusion	diffusion	NOUN
ejpam-5197	447	13	equations	equation	NOUN
ejpam-5197	447	14	.	.	PUNCT
ejpam-5197	448	1	journal	journal	PROPN
ejpam-5197	448	2	of	of	ADP
ejpam-5197	448	3	mathematical	mathematical	ADJ
ejpam-5197	448	4	analysis	analysis	NOUN
ejpam-5197	448	5	and	and	CCONJ
ejpam-5197	448	6	applications	application	NOUN
ejpam-5197	448	7	,	,	PUNCT
ejpam-5197	448	8	385(2	385(2	NUM
ejpam-5197	448	9	)	)	PUNCT
ejpam-5197	448	10	,	,	PUNCT
ejpam-5197	448	11	1094	1094	NUM
ejpam-5197	448	12	-	-	SYM
ejpam-5197	448	13	1106	1106	NUM
ejpam-5197	448	14	.	.	PUNCT
ejpam-5197	449	1	[	[	X
ejpam-5197	449	2	22	22	NUM
ejpam-5197	449	3	]	]	PUNCT
ejpam-5197	449	4	meleshko	meleshko	VERB
ejpam-5197	449	5	,	,	PUNCT
ejpam-5197	449	6	s.	s.	PROPN
ejpam-5197	449	7	v.	v.	PROPN
ejpam-5197	449	8	,	,	PUNCT
ejpam-5197	449	9	&	&	CCONJ
ejpam-5197	449	10	moyo	moyo	PROPN
ejpam-5197	449	11	,	,	PUNCT
ejpam-5197	449	12	s.	s.	PROPN
ejpam-5197	449	13	,	,	PUNCT
ejpam-5197	449	14	(	(	PUNCT
ejpam-5197	449	15	2008	2008	NUM
ejpam-5197	449	16	)	)	PUNCT
ejpam-5197	449	17	.	.	PUNCT
ejpam-5197	450	1	on	on	ADP
ejpam-5197	450	2	the	the	DET
ejpam-5197	450	3	complete	complete	ADJ
ejpam-5197	450	4	group	group	NOUN
ejpam-5197	450	5	classification	classification	NOUN
ejpam-5197	450	6	of	of	ADP
ejpam-5197	450	7	the	the	DET
ejpam-5197	450	8	reaction	reaction	NOUN
ejpam-5197	450	9	-	-	PUNCT
ejpam-5197	450	10	diffusion	diffusion	NOUN
ejpam-5197	450	11	equation	equation	NOUN
ejpam-5197	450	12	with	with	ADP
ejpam-5197	450	13	a	a	DET
ejpam-5197	450	14	delay	delay	NOUN
ejpam-5197	450	15	.	.	PUNCT
ejpam-5197	451	1	journal	journal	PROPN
ejpam-5197	451	2	of	of	ADP
ejpam-5197	451	3	mathematical	mathematical	ADJ
ejpam-5197	451	4	analysis	analysis	NOUN
ejpam-5197	451	5	and	and	CCONJ
ejpam-5197	451	6	applications	application	NOUN
ejpam-5197	451	7	,	,	PUNCT
ejpam-5197	451	8	338(1	338(1	NUM
ejpam-5197	451	9	)	)	PUNCT
ejpam-5197	451	10	,	,	PUNCT
ejpam-5197	451	11	448	448	NUM
ejpam-5197	451	12	-	-	SYM
ejpam-5197	451	13	466	466	NUM
ejpam-5197	451	14	.	.	PUNCT
ejpam-5197	452	1	[	[	X
ejpam-5197	452	2	23	23	NUM
ejpam-5197	452	3	]	]	X
ejpam-5197	452	4	polyanin	polyanin	NOUN
ejpam-5197	452	5	,	,	PUNCT
ejpam-5197	452	6	a.	a.	PROPN
ejpam-5197	452	7	d.	d.	PROPN
ejpam-5197	452	8	,	,	PUNCT
ejpam-5197	452	9	&	&	CCONJ
ejpam-5197	452	10	zhurov	zhurov	PROPN
ejpam-5197	452	11	,	,	PUNCT
ejpam-5197	452	12	a.	a.	NOUN
ejpam-5197	452	13	i.	i.	PROPN
ejpam-5197	452	14	,	,	PUNCT
ejpam-5197	452	15	(	(	PUNCT
ejpam-5197	452	16	2014	2014	NUM
ejpam-5197	452	17	)	)	PUNCT
ejpam-5197	452	18	.	.	PUNCT
ejpam-5197	453	1	functional	functional	ADJ
ejpam-5197	453	2	constraints	constraint	NOUN
ejpam-5197	453	3	method	method	NOUN
ejpam-5197	453	4	for	for	ADP
ejpam-5197	453	5	constructing	construct	VERB
ejpam-5197	453	6	exact	exact	ADJ
ejpam-5197	453	7	solutions	solution	NOUN
ejpam-5197	453	8	to	to	PART
ejpam-5197	453	9	delay	delay	VERB
ejpam-5197	453	10	reaction	reaction	NOUN
ejpam-5197	453	11	-	-	PUNCT
ejpam-5197	453	12	diffusion	diffusion	NOUN
ejpam-5197	453	13	equations	equation	NOUN
ejpam-5197	453	14	and	and	CCONJ
ejpam-5197	453	15	more	more	ADV
ejpam-5197	453	16	complex	complex	ADJ
ejpam-5197	453	17	nonlinear	nonlinear	ADJ
ejpam-5197	453	18	equations	equation	NOUN
ejpam-5197	453	19	.	.	PUNCT
ejpam-5197	454	1	communications	communication	NOUN
ejpam-5197	454	2	in	in	ADP
ejpam-5197	454	3	nonlinear	nonlinear	ADJ
ejpam-5197	454	4	science	science	NOUN
ejpam-5197	454	5	and	and	CCONJ
ejpam-5197	454	6	numerical	numerical	PROPN
ejpam-5197	454	7	simulation	simulation	PROPN
ejpam-5197	454	8	,	,	PUNCT
ejpam-5197	454	9	19(3	19(3	NUM
ejpam-5197	454	10	)	)	PUNCT
ejpam-5197	454	11	,	,	PUNCT
ejpam-5197	454	12	417	417	NUM
ejpam-5197	454	13	-	-	SYM
ejpam-5197	454	14	430	430	NUM
ejpam-5197	454	15	.	.	PUNCT
ejpam-5197	455	1	[	[	X
ejpam-5197	455	2	24	24	NUM
ejpam-5197	455	3	]	]	PUNCT
ejpam-5197	455	4	peykrayegan	peykrayegan	PROPN
ejpam-5197	455	5	,	,	PUNCT
ejpam-5197	455	6	n.	n.	NOUN
ejpam-5197	455	7	,	,	PUNCT
ejpam-5197	455	8	ghovatmand	ghovatmand	NOUN
ejpam-5197	455	9	,	,	PUNCT
ejpam-5197	455	10	m.	m.	NOUN
ejpam-5197	455	11	,	,	PUNCT
ejpam-5197	455	12	noori	noori	PROPN
ejpam-5197	455	13	skandari	skandari	PROPN
ejpam-5197	455	14	,	,	PUNCT
ejpam-5197	455	15	m.h	m.h	PROPN
ejpam-5197	455	16	.	.	PROPN
ejpam-5197	455	17	,	,	PUNCT
ejpam-5197	455	18	(	(	PUNCT
ejpam-5197	455	19	2021	2021	NUM
ejpam-5197	455	20	)	)	PUNCT
ejpam-5197	455	21	,	,	PUNCT
ejpam-5197	455	22	an	an	DET
ejpam-5197	455	23	efficient	efficient	ADJ
ejpam-5197	455	24	method	method	NOUN
ejpam-5197	455	25	for	for	ADP
ejpam-5197	455	26	linear	linear	ADJ
ejpam-5197	455	27	fractional	fractional	ADJ
ejpam-5197	455	28	delay	delay	NOUN
ejpam-5197	455	29	integro	integro	ADJ
ejpam-5197	455	30	-	-	PUNCT
ejpam-5197	455	31	differential	differential	NOUN
ejpam-5197	455	32	equations	equation	NOUN
ejpam-5197	455	33	.	.	PUNCT
ejpam-5197	456	1	comp	comp	PROPN
ejpam-5197	456	2	.	.	PUNCT
ejpam-5197	457	1	appl	appl	PROPN
ejpam-5197	457	2	.	.	PROPN
ejpam-5197	457	3	math	math	PROPN
ejpam-5197	457	4	.	.	PUNCT
ejpam-5197	458	1	40	40	NUM
ejpam-5197	458	2	,	,	PUNCT
ejpam-5197	458	3	249	249	NUM
ejpam-5197	458	4	.	.	PUNCT
ejpam-5197	459	1	https://doi.org/10.1007/s40314-021-01640-1	https://doi.org/10.1007/s40314-021-01640-1	PROPN
ejpam-5197	459	2	.	.	PUNCT
ejpam-5197	460	1	[	[	X
ejpam-5197	460	2	25	25	NUM
ejpam-5197	460	3	]	]	X
ejpam-5197	460	4	priyanka	priyanka	PROPN
ejpam-5197	460	5	,	,	PUNCT
ejpam-5197	460	6	p.	p.	PROPN
ejpam-5197	460	7	,	,	PUNCT
ejpam-5197	460	8	arora	arora	PROPN
ejpam-5197	460	9	,	,	PUNCT
ejpam-5197	460	10	s.	s.	PROPN
ejpam-5197	460	11	,	,	PUNCT
ejpam-5197	460	12	,	,	PUNCT
ejpam-5197	460	13	mebrek	mebrek	PROPN
ejpam-5197	460	14	-	-	PUNCT
ejpam-5197	460	15	oudina	oudina	PROPN
ejpam-5197	460	16	,	,	PUNCT
ejpam-5197	460	17	f.	f.	PROPN
ejpam-5197	460	18	,	,	PUNCT
ejpam-5197	460	19	sahani	sahani	PROPN
ejpam-5197	460	20	,	,	PUNCT
ejpam-5197	460	21	s.	s.	PROPN
ejpam-5197	460	22	,	,	PUNCT
ejpam-5197	460	23	(	(	PUNCT
ejpam-5197	460	24	2023	2023	NUM
ejpam-5197	460	25	)	)	PUNCT
ejpam-5197	460	26	.	.	PUNCT
ejpam-5197	461	1	super	super	ADJ
ejpam-5197	461	2	convergence	convergence	NOUN
ejpam-5197	461	3	analysis	analysis	NOUN
ejpam-5197	461	4	of	of	ADP
ejpam-5197	461	5	fully	fully	ADV
ejpam-5197	461	6	discrete	discrete	ADJ
ejpam-5197	461	7	hermite	hermite	ADJ
ejpam-5197	461	8	splines	spline	NOUN
ejpam-5197	461	9	to	to	PART
ejpam-5197	461	10	simulate	simulate	VERB
ejpam-5197	461	11	wave	wave	NOUN
ejpam-5197	461	12	behaviour	behaviour	NOUN
ejpam-5197	461	13	of	of	ADP
ejpam-5197	461	14	kuramoto	kuramoto	NOUN
ejpam-5197	461	15	–	–	PUNCT
ejpam-5197	461	16	sivashinsky	sivashinsky	NOUN
ejpam-5197	461	17	equation	equation	NOUN
ejpam-5197	461	18	,	,	PUNCT
ejpam-5197	461	19	wave	wave	NOUN
ejpam-5197	461	20	motion	motion	NOUN
ejpam-5197	461	21	,	,	PUNCT
ejpam-5197	461	22	121	121	NUM
ejpam-5197	461	23	,	,	PUNCT
ejpam-5197	461	24	103187	103187	NUM
ejpam-5197	461	25	.	.	PUNCT
ejpam-5197	462	1	[	[	X
ejpam-5197	462	2	26	26	NUM
ejpam-5197	462	3	]	]	X
ejpam-5197	462	4	priyanka	priyanka	PROPN
ejpam-5197	462	5	,	,	PUNCT
ejpam-5197	462	6	p.	p.	PROPN
ejpam-5197	462	7	,	,	PUNCT
ejpam-5197	462	8	mebarek	mebarek	PROPN
ejpam-5197	462	9	-	-	PUNCT
ejpam-5197	462	10	oudina	oudina	PROPN
ejpam-5197	462	11	,	,	PUNCT
ejpam-5197	462	12	f.	f.	PROPN
ejpam-5197	462	13	,	,	PUNCT
ejpam-5197	462	14	sahani	sahani	PROPN
ejpam-5197	462	15	s.	s.	PROPN
ejpam-5197	462	16	,	,	PUNCT
ejpam-5197	462	17	arora	arora	PROPN
ejpam-5197	462	18	,	,	PUNCT
ejpam-5197	462	19	s.	s.	PROPN
ejpam-5197	462	20	,	,	PUNCT
ejpam-5197	462	21	(	(	PUNCT
ejpam-5197	462	22	2024	2024	NUM
ejpam-5197	462	23	)	)	PUNCT
ejpam-5197	462	24	.	.	PUNCT
ejpam-5197	463	1	travelling	travel	VERB
ejpam-5197	463	2	wave	wave	NOUN
ejpam-5197	463	3	solution	solution	NOUN
ejpam-5197	463	4	of	of	ADP
ejpam-5197	463	5	fourth	fourth	ADJ
ejpam-5197	463	6	order	order	NOUN
ejpam-5197	463	7	reaction	reaction	NOUN
ejpam-5197	463	8	diffusion	diffusion	NOUN
ejpam-5197	463	9	equation	equation	NOUN
ejpam-5197	463	10	using	use	VERB
ejpam-5197	463	11	hybrid	hybrid	ADJ
ejpam-5197	463	12	quintic	quintic	ADJ
ejpam-5197	463	13	hermite	hermite	ADJ
ejpam-5197	463	14	splines	spline	NOUN
ejpam-5197	463	15	collocation	collocation	NOUN
ejpam-5197	463	16	technique	technique	NOUN
ejpam-5197	463	17	,	,	PUNCT
ejpam-5197	463	18	arabian	arabian	ADJ
ejpam-5197	463	19	journal	journal	NOUN
ejpam-5197	463	20	of	of	ADP
ejpam-5197	463	21	mathematics	mathematics	PROPN
ejpam-5197	463	22	,	,	PUNCT
ejpam-5197	463	23	https://doi.org	https://doi.org	ADJ
ejpam-5197	463	24	/10.1007	/10.1007	ADJ
ejpam-5197	463	25	/	/	SYM
ejpam-5197	463	26	s40065	s40065	NOUN
ejpam-5197	463	27	-	-	PUNCT
ejpam-5197	463	28	024	024	NUM
ejpam-5197	463	29	-	-	PUNCT
ejpam-5197	463	30	00459	00459	NUM
ejpam-5197	463	31	-	-	PUNCT
ejpam-5197	463	32	y.	y.	NOUN
ejpam-5197	464	1	[	[	X
ejpam-5197	464	2	27	27	NUM
ejpam-5197	464	3	]	]	X
ejpam-5197	464	4	ragozin	ragozin	PROPN
ejpam-5197	464	5	,	,	PUNCT
ejpam-5197	464	6	d.	d.	PROPN
ejpam-5197	464	7	l.	l.	PROPN
ejpam-5197	464	8	,	,	PUNCT
ejpam-5197	464	9	(	(	PUNCT
ejpam-5197	464	10	1970	1970	NUM
ejpam-5197	464	11	)	)	PUNCT
ejpam-5197	464	12	.	.	PUNCT
ejpam-5197	465	1	polynomial	polynomial	ADJ
ejpam-5197	465	2	approximation	approximation	NOUN
ejpam-5197	465	3	on	on	ADP
ejpam-5197	465	4	compact	compact	ADJ
ejpam-5197	465	5	manifolds	manifold	NOUN
ejpam-5197	465	6	and	and	CCONJ
ejpam-5197	465	7	homogeneous	homogeneous	ADJ
ejpam-5197	465	8	spaces	space	NOUN
ejpam-5197	465	9	.	.	PUNCT
ejpam-5197	466	1	transactions	transaction	NOUN
ejpam-5197	466	2	of	of	ADP
ejpam-5197	466	3	the	the	DET
ejpam-5197	466	4	american	american	PROPN
ejpam-5197	466	5	mathematical	mathematical	PROPN
ejpam-5197	466	6	society	society	NOUN
ejpam-5197	466	7	,	,	PUNCT
ejpam-5197	466	8	150(1	150(1	NUM
ejpam-5197	466	9	)	)	PUNCT
ejpam-5197	466	10	,	,	PUNCT
ejpam-5197	466	11	41	41	NUM
ejpam-5197	466	12	-	-	SYM
ejpam-5197	466	13	53	53	NUM
ejpam-5197	466	14	.	.	PUNCT
ejpam-5197	467	1	[	[	X
ejpam-5197	467	2	28	28	NUM
ejpam-5197	467	3	]	]	X
ejpam-5197	467	4	sharifi	sharifi	NOUN
ejpam-5197	467	5	,	,	PUNCT
ejpam-5197	467	6	s.	s.	PROPN
ejpam-5197	467	7	,	,	PUNCT
ejpam-5197	467	8	&	&	CCONJ
ejpam-5197	467	9	rashidinia	rashidinia	PROPN
ejpam-5197	467	10	,	,	PUNCT
ejpam-5197	467	11	j.	j.	PROPN
ejpam-5197	467	12	,	,	PUNCT
ejpam-5197	467	13	(	(	PUNCT
ejpam-5197	467	14	2019	2019	NUM
ejpam-5197	467	15	)	)	PUNCT
ejpam-5197	467	16	.	.	PUNCT
ejpam-5197	468	1	collocation	collocation	NOUN
ejpam-5197	468	2	method	method	NOUN
ejpam-5197	468	3	for	for	ADP
ejpam-5197	468	4	convection	convection	NOUN
ejpam-5197	468	5	-	-	PUNCT
ejpam-5197	468	6	reactiondiffusion	reactiondiffusion	NOUN
ejpam-5197	468	7	equation	equation	NOUN
ejpam-5197	468	8	.	.	PUNCT
ejpam-5197	469	1	journal	journal	PROPN
ejpam-5197	469	2	of	of	ADP
ejpam-5197	469	3	king	king	PROPN
ejpam-5197	469	4	saud	saud	PROPN
ejpam-5197	469	5	university	university	PROPN
ejpam-5197	469	6	-	-	PUNCT
ejpam-5197	469	7	science	science	NOUN
ejpam-5197	469	8	,	,	PUNCT
ejpam-5197	469	9	31(4	31(4	NUM
ejpam-5197	469	10	)	)	PUNCT
ejpam-5197	469	11	,	,	PUNCT
ejpam-5197	469	12	1115	1115	NUM
ejpam-5197	469	13	-	-	SYM
ejpam-5197	469	14	1121	1121	NUM
ejpam-5197	469	15	.	.	PUNCT
ejpam-5197	470	1	[	[	X
ejpam-5197	470	2	29	29	NUM
ejpam-5197	470	3	]	]	X
ejpam-5197	470	4	shen	shen	NOUN
ejpam-5197	470	5	,	,	PUNCT
ejpam-5197	470	6	j.	j.	PROPN
ejpam-5197	470	7	,	,	PUNCT
ejpam-5197	470	8	tang	tang	PROPN
ejpam-5197	470	9	,	,	PUNCT
ejpam-5197	470	10	t.	t.	PROPN
ejpam-5197	470	11	,	,	PUNCT
ejpam-5197	470	12	&	&	CCONJ
ejpam-5197	470	13	wang	wang	PROPN
ejpam-5197	470	14	,	,	PUNCT
ejpam-5197	470	15	l.	l.	PROPN
ejpam-5197	470	16	l.	l.	PROPN
ejpam-5197	470	17	,	,	PUNCT
ejpam-5197	470	18	(	(	PUNCT
ejpam-5197	470	19	2011	2011	NUM
ejpam-5197	470	20	)	)	PUNCT
ejpam-5197	470	21	.	.	PUNCT
ejpam-5197	471	1	spectral	spectral	ADJ
ejpam-5197	471	2	methods	method	NOUN
ejpam-5197	471	3	:	:	PUNCT
ejpam-5197	471	4	algorithms	algorithm	NOUN
ejpam-5197	471	5	,	,	PUNCT
ejpam-5197	471	6	analysis	analysis	NOUN
ejpam-5197	471	7	and	and	CCONJ
ejpam-5197	471	8	applications	application	NOUN
ejpam-5197	471	9	(	(	PUNCT
ejpam-5197	471	10	vol	vol	NOUN
ejpam-5197	471	11	.	.	PROPN
ejpam-5197	471	12	41	41	NUM
ejpam-5197	471	13	)	)	PUNCT
ejpam-5197	471	14	.	.	PUNCT
ejpam-5197	472	1	springer	springer	PROPN
ejpam-5197	472	2	science	science	PROPN
ejpam-5197	472	3	&	&	CCONJ
ejpam-5197	472	4	business	business	NOUN
ejpam-5197	472	5	media	medium	NOUN
ejpam-5197	472	6	.	.	PUNCT
ejpam-5197	473	1	[	[	X
ejpam-5197	473	2	30	30	NUM
ejpam-5197	473	3	]	]	X
ejpam-5197	473	4	sorokin	sorokin	PROPN
ejpam-5197	473	5	,	,	PUNCT
ejpam-5197	473	6	v.	v.	PROPN
ejpam-5197	473	7	g.	g.	PROPN
ejpam-5197	473	8	,	,	PUNCT
ejpam-5197	473	9	&	&	CCONJ
ejpam-5197	473	10	vyazmin	vyazmin	NOUN
ejpam-5197	473	11	,	,	PUNCT
ejpam-5197	473	12	a.	a.	NOUN
ejpam-5197	473	13	v.	v.	PROPN
ejpam-5197	473	14	,	,	PUNCT
ejpam-5197	473	15	(	(	PUNCT
ejpam-5197	473	16	2022	2022	NUM
ejpam-5197	473	17	)	)	PUNCT
ejpam-5197	473	18	.	.	PUNCT
ejpam-5197	474	1	nonlinear	nonlinear	ADJ
ejpam-5197	474	2	reaction	reaction	NOUN
ejpam-5197	474	3	–	–	PUNCT
ejpam-5197	474	4	diffusion	diffusion	NOUN
ejpam-5197	474	5	equations	equation	NOUN
ejpam-5197	474	6	with	with	ADP
ejpam-5197	474	7	delay	delay	NOUN
ejpam-5197	474	8	:	:	PUNCT
ejpam-5197	474	9	partial	partial	ADJ
ejpam-5197	474	10	survey	survey	NOUN
ejpam-5197	474	11	,	,	PUNCT
ejpam-5197	474	12	exact	exact	ADJ
ejpam-5197	474	13	solutions	solution	NOUN
ejpam-5197	474	14	,	,	PUNCT
ejpam-5197	474	15	test	test	NOUN
ejpam-5197	474	16	problems	problem	NOUN
ejpam-5197	474	17	,	,	PUNCT
ejpam-5197	474	18	and	and	CCONJ
ejpam-5197	474	19	numerical	numerical	ADJ
ejpam-5197	474	20	integration	integration	NOUN
ejpam-5197	474	21	.	.	PUNCT
ejpam-5197	475	1	mathematics	mathematic	NOUN
ejpam-5197	475	2	,	,	PUNCT
ejpam-5197	475	3	10(11	10(11	NUM
ejpam-5197	475	4	)	)	PUNCT
ejpam-5197	475	5	,	,	PUNCT
ejpam-5197	475	6	1886	1886	NUM
ejpam-5197	475	7	.	.	PUNCT
ejpam-5197	476	1	[	[	X
ejpam-5197	476	2	31	31	NUM
ejpam-5197	476	3	]	]	PUNCT
ejpam-5197	476	4	visuvasam	visuvasam	NOUN
ejpam-5197	476	5	j.	j.	PROPN
ejpam-5197	476	6	,	,	PUNCT
ejpam-5197	476	7	and	and	CCONJ
ejpam-5197	476	8	alotaibi	alotaibi	PROPN
ejpam-5197	476	9	h.	h.	PROPN
ejpam-5197	476	10	,	,	PUNCT
ejpam-5197	476	11	analysis	analysis	NOUN
ejpam-5197	476	12	of	of	ADP
ejpam-5197	476	13	von	von	PROPN
ejpam-5197	476	14	karman	karman	PROPN
ejpam-5197	476	15	swirling	swirl	VERB
ejpam-5197	476	16	flows	flow	NOUN
ejpam-5197	476	17	due	due	ADJ
ejpam-5197	476	18	to	to	ADP
ejpam-5197	476	19	a	a	DET
ejpam-5197	476	20	porous	porous	ADJ
ejpam-5197	476	21	rotating	rotating	NOUN
ejpam-5197	476	22	disk	disk	NOUN
ejpam-5197	476	23	electrode	electrode	NOUN
ejpam-5197	476	24	,	,	PUNCT
ejpam-5197	476	25	micromashines	micromashine	NOUN
ejpam-5197	476	26	,	,	PUNCT
ejpam-5197	476	27	14	14	NUM
ejpam-5197	476	28	,	,	PUNCT
ejpam-5197	476	29	582	582	NUM
ejpam-5197	476	30	.	.	PUNCT
ejpam-5197	476	31	references	reference	NOUN
ejpam-5197	476	32	1584	1584	NUM
ejpam-5197	476	33	[	[	X
ejpam-5197	476	34	32	32	NUM
ejpam-5197	476	35	]	]	SYM
ejpam-5197	476	36	visuvasam	visuvasam	PROPN
ejpam-5197	476	37	j.	j.	PROPN
ejpam-5197	476	38	,	,	PUNCT
ejpam-5197	476	39	molina	molina	PROPN
ejpam-5197	476	40	,	,	PUNCT
ejpam-5197	476	41	a.	a.	PROPN
ejpam-5197	476	42	,	,	PUNCT
ejpam-5197	476	43	laborda	laborda	PROPN
ejpam-5197	476	44	,	,	PUNCT
ejpam-5197	476	45	and	and	CCONJ
ejpam-5197	476	46	e.	e.	PROPN
ejpam-5197	476	47	,	,	PUNCT
ejpam-5197	476	48	rajendran	rajendran	PROPN
ejpam-5197	476	49	,	,	PUNCT
ejpam-5197	476	50	l.	l.	PROPN
ejpam-5197	476	51	,	,	PUNCT
ejpam-5197	476	52	(	(	PUNCT
ejpam-5197	476	53	2018	2018	NUM
ejpam-5197	476	54	)	)	PUNCT
ejpam-5197	476	55	.	.	PUNCT
ejpam-5197	477	1	mathematical	mathematical	ADJ
ejpam-5197	477	2	models	model	NOUN
ejpam-5197	477	3	of	of	ADP
ejpam-5197	477	4	the	the	DET
ejpam-5197	477	5	infinite	infinite	ADJ
ejpam-5197	477	6	porous	porous	ADJ
ejpam-5197	477	7	rotating	rotating	NOUN
ejpam-5197	477	8	disk	disk	NOUN
ejpam-5197	477	9	electrode	electrode	NOUN
ejpam-5197	477	10	,	,	PUNCT
ejpam-5197	477	11	int	int	NOUN
ejpam-5197	477	12	.	.	PUNCT
ejpam-5197	478	1	j.	j.	PROPN
ejpam-5197	478	2	electrochem	electrochem	PROPN
ejpam-5197	478	3	.	.	PUNCT
ejpam-5197	479	1	sci	sci	PROPN
ejpam-5197	479	2	.	.	PROPN
ejpam-5197	479	3	,	,	PUNCT
ejpam-5197	479	4	13	13	NUM
ejpam-5197	479	5	,	,	PUNCT
ejpam-5197	479	6	9999	9999	NUM
ejpam-5197	479	7	-	-	SYM
ejpam-5197	479	8	10022	10022	NUM
ejpam-5197	479	9	.	.	PUNCT
ejpam-5197	480	1	[	[	X
ejpam-5197	480	2	33	33	NUM
ejpam-5197	480	3	]	]	X
ejpam-5197	480	4	visuvasam	visuvasam	NOUN
ejpam-5197	480	5	,	,	PUNCT
ejpam-5197	480	6	j.	j.	PROPN
ejpam-5197	480	7	,	,	PUNCT
ejpam-5197	480	8	meena	meena	PROPN
ejpam-5197	480	9	,	,	PUNCT
ejpam-5197	480	10	a.	a.	NOUN
ejpam-5197	480	11	,	,	PUNCT
ejpam-5197	480	12	and	and	CCONJ
ejpam-5197	480	13	rajendran	rajendran	PROPN
ejpam-5197	480	14	,	,	PUNCT
ejpam-5197	480	15	l.	l.	PROPN
ejpam-5197	480	16	,	,	PUNCT
ejpam-5197	480	17	(	(	PUNCT
ejpam-5197	480	18	2020	2020	NUM
ejpam-5197	480	19	)	)	PUNCT
ejpam-5197	480	20	.	.	PUNCT
ejpam-5197	481	1	new	new	ADJ
ejpam-5197	481	2	analytical	analytical	ADJ
ejpam-5197	481	3	method	method	NOUN
ejpam-5197	481	4	for	for	ADP
ejpam-5197	481	5	solving	solve	VERB
ejpam-5197	481	6	nonlinear	nonlinear	ADJ
ejpam-5197	481	7	equation	equation	NOUN
ejpam-5197	481	8	in	in	ADP
ejpam-5197	481	9	rotating	rotate	VERB
ejpam-5197	481	10	disk	disk	NOUN
ejpam-5197	481	11	electrodes	electrode	NOUN
ejpam-5197	481	12	for	for	ADP
ejpam-5197	481	13	second	second	ADJ
ejpam-5197	481	14	-	-	PUNCT
ejpam-5197	481	15	order	order	NOUN
ejpam-5197	481	16	ece	ece	PROPN
ejpam-5197	481	17	reactions	reaction	NOUN
ejpam-5197	481	18	,	,	PUNCT
ejpam-5197	481	19	869	869	NUM
ejpam-5197	481	20	,	,	PUNCT
ejpam-5197	481	21	15	15	NUM
ejpam-5197	481	22	,	,	PUNCT
ejpam-5197	481	23	114106	114106	NUM
ejpam-5197	481	24	.	.	PUNCT
ejpam-5197	482	1	[	[	X
ejpam-5197	482	2	34	34	NUM
ejpam-5197	482	3	]	]	X
ejpam-5197	482	4	wang	wang	PROPN
ejpam-5197	482	5	,	,	PUNCT
ejpam-5197	482	6	w.	w.	PROPN
ejpam-5197	482	7	,	,	PUNCT
ejpam-5197	482	8	&	&	CCONJ
ejpam-5197	482	9	ma	ma	PROPN
ejpam-5197	482	10	,	,	PUNCT
ejpam-5197	482	11	w.	w.	PROPN
ejpam-5197	482	12	(	(	PUNCT
ejpam-5197	482	13	2018	2018	NUM
ejpam-5197	482	14	)	)	PUNCT
ejpam-5197	482	15	.	.	PUNCT
ejpam-5197	483	1	hepatitis	hepatitis	PROPN
ejpam-5197	483	2	c	c	PROPN
ejpam-5197	483	3	virus	virus	NOUN
ejpam-5197	483	4	infection	infection	NOUN
ejpam-5197	483	5	is	be	AUX
ejpam-5197	483	6	blocked	block	VERB
ejpam-5197	483	7	by	by	ADP
ejpam-5197	483	8	hmgb1	hmgb1	PROPN
ejpam-5197	483	9	:	:	PUNCT
ejpam-5197	483	10	a	a	DET
ejpam-5197	483	11	new	new	ADJ
ejpam-5197	483	12	nonlocal	nonlocal	ADJ
ejpam-5197	483	13	and	and	CCONJ
ejpam-5197	483	14	time	time	NOUN
ejpam-5197	483	15	-	-	PUNCT
ejpam-5197	483	16	delayed	delay	VERB
ejpam-5197	483	17	reaction	reaction	NOUN
ejpam-5197	483	18	–	–	PUNCT
ejpam-5197	483	19	diffusion	diffusion	NOUN
ejpam-5197	483	20	model	model	NOUN
ejpam-5197	483	21	.	.	PUNCT
ejpam-5197	484	1	applied	apply	VERB
ejpam-5197	484	2	mathematics	mathematic	NOUN
ejpam-5197	484	3	and	and	CCONJ
ejpam-5197	484	4	computation	computation	NOUN
ejpam-5197	484	5	,	,	PUNCT
ejpam-5197	484	6	320	320	NUM
ejpam-5197	484	7	,	,	PUNCT
ejpam-5197	484	8	633	633	NUM
ejpam-5197	484	9	-	-	SYM
ejpam-5197	484	10	653	653	NUM
ejpam-5197	484	11	.	.	PUNCT
ejpam-5197	485	1	[	[	X
ejpam-5197	485	2	35	35	NUM
ejpam-5197	485	3	]	]	X
ejpam-5197	485	4	wang	wang	PROPN
ejpam-5197	485	5	,	,	PUNCT
ejpam-5197	485	6	x.	x.	PROPN
ejpam-5197	485	7	,	,	PUNCT
ejpam-5197	485	8	li	li	PROPN
ejpam-5197	485	9	,	,	PUNCT
ejpam-5197	485	10	z.	z.	PROPN
ejpam-5197	485	11	,	,	PUNCT
ejpam-5197	485	12	(	(	PUNCT
ejpam-5197	485	13	2007	2007	NUM
ejpam-5197	485	14	)	)	PUNCT
ejpam-5197	485	15	.	.	PUNCT
ejpam-5197	486	1	dynamics	dynamic	NOUN
ejpam-5197	486	2	for	for	ADP
ejpam-5197	486	3	a	a	DET
ejpam-5197	486	4	type	type	NOUN
ejpam-5197	486	5	of	of	ADP
ejpam-5197	486	6	general	general	ADJ
ejpam-5197	486	7	reaction	reaction	NOUN
ejpam-5197	486	8	–	–	PUNCT
ejpam-5197	486	9	diffusion	diffusion	NOUN
ejpam-5197	486	10	model	model	NOUN
ejpam-5197	486	11	,	,	PUNCT
ejpam-5197	486	12	nonlinear	nonlinear	ADJ
ejpam-5197	486	13	anal	anal	NOUN
ejpam-5197	486	14	.	.	PUNCT
ejpam-5197	486	15	67	67	NUM
ejpam-5197	486	16	,	,	PUNCT
ejpam-5197	486	17	2699–2711	2699–2711	NOUN
ejpam-5197	486	18	.	.	PUNCT
ejpam-5197	487	1	[	[	X
ejpam-5197	487	2	36	36	NUM
ejpam-5197	487	3	]	]	SYM
ejpam-5197	487	4	wu	wu	PROPN
ejpam-5197	487	5	,	,	PUNCT
ejpam-5197	487	6	f.	f.	PROPN
ejpam-5197	487	7	,	,	PUNCT
ejpam-5197	487	8	wang	wang	PROPN
ejpam-5197	487	9	,	,	PUNCT
ejpam-5197	487	10	q.	q.	PROPN
ejpam-5197	487	11	,	,	PUNCT
ejpam-5197	487	12	cheng	cheng	PROPN
ejpam-5197	487	13	,	,	PUNCT
ejpam-5197	487	14	x.	x.	PROPN
ejpam-5197	487	15	,	,	PUNCT
ejpam-5197	487	16	&	&	CCONJ
ejpam-5197	487	17	chen	chen	PROPN
ejpam-5197	487	18	,	,	PUNCT
ejpam-5197	487	19	x.	x.	PROPN
ejpam-5197	487	20	(	(	PUNCT
ejpam-5197	487	21	2018	2018	NUM
ejpam-5197	487	22	)	)	PUNCT
ejpam-5197	487	23	.	.	PUNCT
ejpam-5197	488	1	linear	linear	PROPN
ejpam-5197	488	2	θ	θ	NOUN
ejpam-5197	488	3	-	-	NOUN
ejpam-5197	488	4	method	method	NOUN
ejpam-5197	488	5	and	and	CCONJ
ejpam-5197	488	6	compact	compact	ADJ
ejpam-5197	488	7	θmethod	θmethod	NOUN
ejpam-5197	488	8	for	for	ADP
ejpam-5197	488	9	generalized	generalized	ADJ
ejpam-5197	488	10	reaction	reaction	NOUN
ejpam-5197	488	11	-	-	PUNCT
ejpam-5197	488	12	diffusion	diffusion	NOUN
ejpam-5197	488	13	equation	equation	NOUN
ejpam-5197	488	14	with	with	ADP
ejpam-5197	488	15	delay	delay	NOUN
ejpam-5197	488	16	.	.	PUNCT
ejpam-5197	489	1	international	international	ADJ
ejpam-5197	489	2	journal	journal	PROPN
ejpam-5197	489	3	of	of	ADP
ejpam-5197	489	4	differential	differential	ADJ
ejpam-5197	489	5	equations	equation	NOUN
ejpam-5197	489	6	,	,	PUNCT
ejpam-5197	489	7	2018	2018	NUM
ejpam-5197	489	8	.	.	PUNCT
ejpam-5197	490	1	[	[	X
ejpam-5197	490	2	37	37	NUM
ejpam-5197	490	3	]	]	PUNCT
ejpam-5197	490	4	xiaobing	xiaobing	PROPN
ejpam-5197	490	5	,	,	PUNCT
ejpam-5197	490	6	p.	p.	PROPN
ejpam-5197	490	7	,	,	PUNCT
ejpam-5197	490	8	yang	yang	PROPN
ejpam-5197	490	9	,	,	PUNCT
ejpam-5197	490	10	x.	x.	PROPN
ejpam-5197	490	11	,	,	PUNCT
ejpam-5197	490	12	noori	noori	PROPN
ejpam-5197	490	13	skandari	skandari	PROPN
ejpam-5197	490	14	,	,	PUNCT
ejpam-5197	490	15	m.	m.	PROPN
ejpam-5197	490	16	h.	h.	PROPN
ejpam-5197	490	17	,	,	PUNCT
ejpam-5197	490	18	tohidi	tohidi	PROPN
ejpam-5197	490	19	,	,	PUNCT
ejpam-5197	490	20	e.	e.	PROPN
ejpam-5197	490	21	,	,	PUNCT
ejpam-5197	490	22	shateyi	shateyi	PROPN
ejpam-5197	490	23	,	,	PUNCT
ejpam-5197	490	24	s.	s.	PROPN
ejpam-5197	490	25	(	(	PUNCT
ejpam-5197	490	26	2021	2021	NUM
ejpam-5197	490	27	)	)	PUNCT
ejpam-5197	490	28	.	.	PUNCT
ejpam-5197	491	1	a	a	DET
ejpam-5197	491	2	new	new	ADJ
ejpam-5197	491	3	high	high	ADJ
ejpam-5197	491	4	accurate	accurate	ADJ
ejpam-5197	491	5	approximate	approximate	ADJ
ejpam-5197	491	6	approach	approach	NOUN
ejpam-5197	491	7	to	to	PART
ejpam-5197	491	8	solve	solve	VERB
ejpam-5197	491	9	optimal	optimal	ADJ
ejpam-5197	491	10	control	control	NOUN
ejpam-5197	491	11	problems	problem	NOUN
ejpam-5197	491	12	of	of	ADP
ejpam-5197	491	13	fractional	fractional	ADJ
ejpam-5197	491	14	order	order	NOUN
ejpam-5197	491	15	via	via	ADP
ejpam-5197	491	16	efficient	efficient	ADJ
ejpam-5197	491	17	basis	basis	NOUN
ejpam-5197	491	18	functions	function	NOUN
ejpam-5197	491	19	,	,	PUNCT
ejpam-5197	491	20	alexandria	alexandria	PROPN
ejpam-5197	491	21	engineering	engineering	PROPN
ejpam-5197	491	22	journal	journal	PROPN
ejpam-5197	491	23	,	,	PUNCT
ejpam-5197	491	24	61	61	NUM
ejpam-5197	491	25	(	(	PUNCT
ejpam-5197	491	26	8)	8)	NUM
ejpam-5197	491	27	,	,	PUNCT
ejpam-5197	491	28	5805	5805	NUM
ejpam-5197	491	29	-	-	SYM
ejpam-5197	491	30	5818	5818	NUM
ejpam-5197	491	31	.	.	PUNCT
ejpam-5197	492	1	[	[	X
ejpam-5197	492	2	38	38	NUM
ejpam-5197	492	3	]	]	X
ejpam-5197	492	4	zhao	zhao	PROPN
ejpam-5197	492	5	,	,	PUNCT
ejpam-5197	492	6	z.	z.	PROPN
ejpam-5197	492	7	,	,	PUNCT
ejpam-5197	492	8	&	&	CCONJ
ejpam-5197	492	9	ge	ge	PROPN
ejpam-5197	492	10	,	,	PUNCT
ejpam-5197	492	11	w.	w.	PROPN
ejpam-5197	492	12	(	(	PUNCT
ejpam-5197	492	13	2011	2011	NUM
ejpam-5197	492	14	)	)	PUNCT
ejpam-5197	492	15	.	.	PUNCT
ejpam-5197	493	1	traveling	travel	VERB
ejpam-5197	493	2	wavefront	wavefront	ADJ
ejpam-5197	493	3	solutions	solution	NOUN
ejpam-5197	493	4	for	for	ADP
ejpam-5197	493	5	reaction	reaction	NOUN
ejpam-5197	493	6	-	-	PUNCT
ejpam-5197	493	7	diffusion	diffusion	NOUN
ejpam-5197	493	8	equation	equation	NOUN
ejpam-5197	493	9	with	with	ADP
ejpam-5197	493	10	small	small	ADJ
ejpam-5197	493	11	delay	delay	NOUN
ejpam-5197	493	12	.	.	PUNCT
ejpam-5197	494	1	funkcialaj	funkcialaj	PROPN
ejpam-5197	494	2	ekvacioj	ekvacioj	PROPN
ejpam-5197	494	3	,	,	PUNCT
ejpam-5197	494	4	54(2	54(2	NUM
ejpam-5197	494	5	)	)	PUNCT
ejpam-5197	494	6	,	,	PUNCT
ejpam-5197	494	7	225	225	NUM
ejpam-5197	494	8	-	-	SYM
ejpam-5197	494	9	236	236	NUM
ejpam-5197	494	10	.	.	PUNCT