id	sid	tid	token	lemma	pos
ejpam-4747	1	1	european	european	PROPN
ejpam-4747	1	2	journal	journal	PROPN
ejpam-4747	1	3	of	of	ADP
ejpam-4747	1	4	pure	pure	ADJ
ejpam-4747	1	5	and	and	CCONJ
ejpam-4747	1	6	applied	apply	VERB
ejpam-4747	1	7	mathematics	mathematic	NOUN
ejpam-4747	1	8	vol	vol	NOUN
ejpam-4747	1	9	.	.	PUNCT
ejpam-4747	2	1	16	16	NUM
ejpam-4747	2	2	,	,	PUNCT
ejpam-4747	2	3	no	no	INTJ
ejpam-4747	2	4	.	.	NOUN
ejpam-4747	2	5	2	2	NUM
ejpam-4747	2	6	,	,	PUNCT
ejpam-4747	2	7	2023	2023	NUM
ejpam-4747	2	8	,	,	PUNCT
ejpam-4747	2	9	1024	1024	NUM
ejpam-4747	2	10	-	-	SYM
ejpam-4747	2	11	1046	1046	NUM
ejpam-4747	2	12	issn	issn	PROPN
ejpam-4747	2	13	1307	1307	NUM
ejpam-4747	2	14	-	-	SYM
ejpam-4747	2	15	5543	5543	NUM
ejpam-4747	2	16	–	–	PUNCT
ejpam-4747	2	17	ejpam.com	ejpam.com	X
ejpam-4747	2	18	published	publish	VERB
ejpam-4747	2	19	by	by	ADP
ejpam-4747	2	20	new	new	PROPN
ejpam-4747	2	21	york	york	PROPN
ejpam-4747	2	22	business	business	PROPN
ejpam-4747	2	23	global	global	PROPN
ejpam-4747	2	24	the	the	DET
ejpam-4747	2	25	generalization	generalization	NOUN
ejpam-4747	2	26	of	of	ADP
ejpam-4747	2	27	integral	integral	ADJ
ejpam-4747	2	28	transforms	transform	NOUN
ejpam-4747	2	29	combined	combine	VERB
ejpam-4747	2	30	with	with	ADP
ejpam-4747	2	31	he	he	PRON
ejpam-4747	2	32	’s	’s	PART
ejpam-4747	2	33	polynomial	polynomial	PROPN
ejpam-4747	2	34	junaid	junaid	PROPN
ejpam-4747	2	35	idrees	idrees	PROPN
ejpam-4747	2	36	mustafa	mustafa	PROPN
ejpam-4747	2	37	department	department	PROPN
ejpam-4747	2	38	of	of	ADP
ejpam-4747	2	39	mathematics	mathematics	PROPN
ejpam-4747	2	40	,	,	PUNCT
ejpam-4747	2	41	college	college	NOUN
ejpam-4747	2	42	of	of	ADP
ejpam-4747	2	43	education	education	NOUN
ejpam-4747	2	44	for	for	ADP
ejpam-4747	2	45	pure	pure	ADJ
ejpam-4747	2	46	sciences	science	NOUN
ejpam-4747	2	47	,	,	PUNCT
ejpam-4747	2	48	university	university	NOUN
ejpam-4747	2	49	of	of	ADP
ejpam-4747	2	50	mosul	mosul	PROPN
ejpam-4747	2	51	,	,	PUNCT
ejpam-4747	2	52	mosul	mosul	PROPN
ejpam-4747	2	53	,	,	PUNCT
ejpam-4747	2	54	iraq	iraq	PROPN
ejpam-4747	2	55	abstract	abstract	NOUN
ejpam-4747	2	56	.	.	PUNCT
ejpam-4747	3	1	our	our	PRON
ejpam-4747	3	2	goal	goal	NOUN
ejpam-4747	3	3	in	in	ADP
ejpam-4747	3	4	this	this	DET
ejpam-4747	3	5	paper	paper	NOUN
ejpam-4747	3	6	is	be	AUX
ejpam-4747	3	7	to	to	PART
ejpam-4747	3	8	generalize	generalize	VERB
ejpam-4747	3	9	the	the	DET
ejpam-4747	3	10	integral	integral	ADJ
ejpam-4747	3	11	transforms	transform	NOUN
ejpam-4747	3	12	and	and	CCONJ
ejpam-4747	3	13	use	use	VERB
ejpam-4747	3	14	it	it	PRON
ejpam-4747	3	15	with	with	SCONJ
ejpam-4747	3	16	he	he	PRON
ejpam-4747	3	17	’s	’	VERB
ejpam-4747	3	18	polynomial	polynomial	ADJ
ejpam-4747	3	19	method	method	NOUN
ejpam-4747	3	20	to	to	PART
ejpam-4747	3	21	find	find	VERB
ejpam-4747	3	22	the	the	DET
ejpam-4747	3	23	solution	solution	NOUN
ejpam-4747	3	24	of	of	ADP
ejpam-4747	3	25	the	the	DET
ejpam-4747	3	26	nonlinear	nonlinear	ADJ
ejpam-4747	3	27	partial	partial	ADJ
ejpam-4747	3	28	differential	differential	NOUN
ejpam-4747	3	29	equations	equation	NOUN
ejpam-4747	3	30	.	.	PUNCT
ejpam-4747	4	1	all	all	DET
ejpam-4747	4	2	results	result	NOUN
ejpam-4747	4	3	of	of	ADP
ejpam-4747	4	4	theoretical	theoretical	ADJ
ejpam-4747	4	5	studies	study	NOUN
ejpam-4747	4	6	regarding	regard	VERB
ejpam-4747	4	7	the	the	DET
ejpam-4747	4	8	generalization	generalization	NOUN
ejpam-4747	4	9	and	and	CCONJ
ejpam-4747	4	10	its	its	PRON
ejpam-4747	4	11	properties	property	NOUN
ejpam-4747	4	12	are	be	AUX
ejpam-4747	4	13	presented	present	VERB
ejpam-4747	4	14	.	.	PUNCT
ejpam-4747	5	1	for	for	SCONJ
ejpam-4747	5	2	the	the	PRON
ejpam-4747	5	3	he	he	PRON
ejpam-4747	5	4	’s	’s	PART
ejpam-4747	5	5	polynomial	polynomial	ADJ
ejpam-4747	5	6	method	method	NOUN
ejpam-4747	5	7	,	,	PUNCT
ejpam-4747	5	8	it	it	PRON
ejpam-4747	5	9	is	be	AUX
ejpam-4747	5	10	used	use	VERB
ejpam-4747	5	11	to	to	PART
ejpam-4747	5	12	solve	solve	VERB
ejpam-4747	5	13	the	the	DET
ejpam-4747	5	14	nonlinear	nonlinear	ADJ
ejpam-4747	5	15	part	part	NOUN
ejpam-4747	5	16	of	of	ADP
ejpam-4747	5	17	the	the	DET
ejpam-4747	5	18	partial	partial	ADJ
ejpam-4747	5	19	differential	differential	NOUN
ejpam-4747	5	20	equation	equation	NOUN
ejpam-4747	5	21	.	.	PUNCT
ejpam-4747	6	1	it	it	PRON
ejpam-4747	6	2	is	be	AUX
ejpam-4747	6	3	shown	show	VERB
ejpam-4747	6	4	that	that	SCONJ
ejpam-4747	6	5	the	the	DET
ejpam-4747	6	6	importance	importance	NOUN
ejpam-4747	6	7	of	of	ADP
ejpam-4747	6	8	my	my	PRON
ejpam-4747	6	9	research	research	NOUN
ejpam-4747	6	10	is	be	AUX
ejpam-4747	6	11	the	the	DET
ejpam-4747	6	12	combination	combination	NOUN
ejpam-4747	6	13	of	of	ADP
ejpam-4747	6	14	generalization	generalization	NOUN
ejpam-4747	6	15	of	of	ADP
ejpam-4747	6	16	integral	integral	ADJ
ejpam-4747	6	17	transforms	transform	NOUN
ejpam-4747	6	18	with	with	ADP
ejpam-4747	6	19	he	he	PRON
ejpam-4747	6	20	’s	’s	PART
ejpam-4747	6	21	polynomial	polynomial	ADJ
ejpam-4747	6	22	method	method	NOUN
ejpam-4747	6	23	allows	allow	VERB
ejpam-4747	6	24	for	for	SCONJ
ejpam-4747	6	25	exact	exact	ADJ
ejpam-4747	6	26	and	and	CCONJ
ejpam-4747	6	27	approximate	approximate	ADJ
ejpam-4747	6	28	solutions	solution	NOUN
ejpam-4747	6	29	configurations	configuration	NOUN
ejpam-4747	6	30	to	to	PART
ejpam-4747	6	31	be	be	AUX
ejpam-4747	6	32	determined	determine	VERB
ejpam-4747	6	33	.	.	PUNCT
ejpam-4747	7	1	furthermore	furthermore	ADV
ejpam-4747	7	2	,	,	PUNCT
ejpam-4747	7	3	the	the	DET
ejpam-4747	7	4	generalization	generalization	NOUN
ejpam-4747	7	5	of	of	ADP
ejpam-4747	7	6	integral	integral	ADJ
ejpam-4747	7	7	transforms	transform	NOUN
ejpam-4747	7	8	has	have	AUX
ejpam-4747	7	9	been	be	AUX
ejpam-4747	7	10	shown	show	VERB
ejpam-4747	7	11	to	to	PART
ejpam-4747	7	12	include	include	VERB
ejpam-4747	7	13	most	most	ADJ
ejpam-4747	7	14	,	,	PUNCT
ejpam-4747	7	15	or	or	CCONJ
ejpam-4747	7	16	even	even	ADV
ejpam-4747	7	17	all	all	PRON
ejpam-4747	7	18	,	,	PUNCT
ejpam-4747	7	19	of	of	ADP
ejpam-4747	7	20	the	the	DET
ejpam-4747	7	21	integral	integral	ADJ
ejpam-4747	7	22	transforms	transform	NOUN
ejpam-4747	7	23	and	and	CCONJ
ejpam-4747	7	24	be	be	AUX
ejpam-4747	7	25	applicable	applicable	ADJ
ejpam-4747	7	26	to	to	ADP
ejpam-4747	7	27	a	a	DET
ejpam-4747	7	28	variety	variety	NOUN
ejpam-4747	7	29	of	of	ADP
ejpam-4747	7	30	equations	equation	NOUN
ejpam-4747	7	31	,	,	PUNCT
ejpam-4747	7	32	making	make	VERB
ejpam-4747	7	33	it	it	PRON
ejpam-4747	7	34	a	a	DET
ejpam-4747	7	35	crucial	crucial	ADJ
ejpam-4747	7	36	tool	tool	NOUN
ejpam-4747	7	37	in	in	ADP
ejpam-4747	7	38	solving	solve	VERB
ejpam-4747	7	39	them	they	PRON
ejpam-4747	7	40	.	.	PUNCT
ejpam-4747	8	1	finally	finally	ADV
ejpam-4747	8	2	,	,	PUNCT
ejpam-4747	8	3	the	the	DET
ejpam-4747	8	4	capability	capability	NOUN
ejpam-4747	8	5	of	of	ADP
ejpam-4747	8	6	solutions	solution	NOUN
ejpam-4747	8	7	to	to	PART
ejpam-4747	8	8	be	be	AUX
ejpam-4747	8	9	obtained	obtain	VERB
ejpam-4747	8	10	quickly	quickly	ADV
ejpam-4747	8	11	and	and	CCONJ
ejpam-4747	8	12	easily	easily	ADV
ejpam-4747	8	13	through	through	ADP
ejpam-4747	8	14	this	this	DET
ejpam-4747	8	15	combined	combine	VERB
ejpam-4747	8	16	technique	technique	NOUN
ejpam-4747	8	17	provides	provide	VERB
ejpam-4747	8	18	an	an	DET
ejpam-4747	8	19	invaluable	invaluable	ADJ
ejpam-4747	8	20	tool	tool	NOUN
ejpam-4747	8	21	for	for	ADP
ejpam-4747	8	22	solving	solve	VERB
ejpam-4747	8	23	problems	problem	NOUN
ejpam-4747	8	24	.	.	PUNCT
ejpam-4747	9	1	2020	2020	NUM
ejpam-4747	9	2	mathematics	mathematic	NOUN
ejpam-4747	9	3	subject	subject	NOUN
ejpam-4747	9	4	classifications	classification	NOUN
ejpam-4747	9	5	:	:	PUNCT
ejpam-4747	9	6	35q35	35q35	NUM
ejpam-4747	9	7	,	,	PUNCT
ejpam-4747	9	8	44a05	44a05	NUM
ejpam-4747	9	9	,	,	PUNCT
ejpam-4747	9	10	41a10	41a10	NUM
ejpam-4747	9	11	,	,	PUNCT
ejpam-4747	9	12	41a58	41a58	NUM
ejpam-4747	9	13	,	,	PUNCT
ejpam-4747	9	14	65d25	65d25	NUM
ejpam-4747	9	15	,	,	PUNCT
ejpam-4747	9	16	65j15	65j15	NUM
ejpam-4747	9	17	,	,	PUNCT
ejpam-4747	9	18	74h15	74h15	NOUN
ejpam-4747	9	19	.	.	PUNCT
ejpam-4747	10	1	key	key	ADJ
ejpam-4747	10	2	words	word	NOUN
ejpam-4747	10	3	and	and	CCONJ
ejpam-4747	10	4	phrases	phrase	NOUN
ejpam-4747	10	5	:	:	PUNCT
ejpam-4747	10	6	generalization	generalization	NOUN
ejpam-4747	10	7	of	of	ADP
ejpam-4747	10	8	integral	integral	ADJ
ejpam-4747	10	9	transform	transform	NOUN
ejpam-4747	10	10	,	,	PUNCT
ejpam-4747	10	11	he	he	PRON
ejpam-4747	10	12	’s	’	VERB
ejpam-4747	10	13	polynomial	polynomial	ADJ
ejpam-4747	10	14	method	method	NOUN
ejpam-4747	10	15	,	,	PUNCT
ejpam-4747	10	16	nonlinear	nonlinear	ADJ
ejpam-4747	10	17	partial	partial	ADJ
ejpam-4747	10	18	differential	differential	ADJ
ejpam-4747	10	19	equations	equation	NOUN
ejpam-4747	10	20	1	1	NUM
ejpam-4747	10	21	.	.	PUNCT
ejpam-4747	11	1	introduction	introduction	NOUN
ejpam-4747	11	2	integral	integral	ADJ
ejpam-4747	11	3	transforms	transform	NOUN
ejpam-4747	11	4	have	have	AUX
ejpam-4747	11	5	become	become	VERB
ejpam-4747	11	6	an	an	DET
ejpam-4747	11	7	important	important	ADJ
ejpam-4747	11	8	tool	tool	NOUN
ejpam-4747	11	9	in	in	ADP
ejpam-4747	11	10	mathematics	mathematic	NOUN
ejpam-4747	11	11	in	in	ADP
ejpam-4747	11	12	recent	recent	ADJ
ejpam-4747	11	13	years	year	NOUN
ejpam-4747	11	14	and	and	CCONJ
ejpam-4747	11	15	have	have	AUX
ejpam-4747	11	16	been	be	AUX
ejpam-4747	11	17	extensively	extensively	ADV
ejpam-4747	11	18	studied	study	VERB
ejpam-4747	11	19	by	by	ADP
ejpam-4747	11	20	many	many	ADJ
ejpam-4747	11	21	researchers	researcher	NOUN
ejpam-4747	11	22	[	[	X
ejpam-4747	11	23	24	24	NUM
ejpam-4747	11	24	,	,	PUNCT
ejpam-4747	11	25	25	25	NUM
ejpam-4747	11	26	,	,	PUNCT
ejpam-4747	11	27	28	28	NUM
ejpam-4747	11	28	]	]	PUNCT
ejpam-4747	11	29	.	.	PUNCT
ejpam-4747	12	1	these	these	DET
ejpam-4747	12	2	transforms	transform	VERB
ejpam-4747	12	3	have	have	AUX
ejpam-4747	12	4	been	be	AUX
ejpam-4747	12	5	successfully	successfully	ADV
ejpam-4747	12	6	applied	apply	VERB
ejpam-4747	12	7	to	to	PART
ejpam-4747	12	8	solve	solve	VERB
ejpam-4747	12	9	many	many	ADJ
ejpam-4747	12	10	linear	linear	ADJ
ejpam-4747	12	11	equations	equation	NOUN
ejpam-4747	12	12	,	,	PUNCT
ejpam-4747	12	13	such	such	ADJ
ejpam-4747	12	14	as	as	ADP
ejpam-4747	12	15	ordinary	ordinary	ADJ
ejpam-4747	12	16	and	and	CCONJ
ejpam-4747	12	17	partial	partial	ADJ
ejpam-4747	12	18	differential	differential	ADJ
ejpam-4747	12	19	equations	equation	NOUN
ejpam-4747	12	20	(	(	PUNCT
ejpam-4747	12	21	pdes	pde	NOUN
ejpam-4747	12	22	)	)	PUNCT
ejpam-4747	12	23	and	and	CCONJ
ejpam-4747	12	24	integral	integral	ADJ
ejpam-4747	12	25	equations	equation	NOUN
ejpam-4747	12	26	[	[	X
ejpam-4747	12	27	17	17	NUM
ejpam-4747	12	28	,	,	PUNCT
ejpam-4747	12	29	19	19	NUM
ejpam-4747	12	30	,	,	PUNCT
ejpam-4747	12	31	20	20	NUM
ejpam-4747	12	32	]	]	PUNCT
ejpam-4747	12	33	.	.	PUNCT
ejpam-4747	13	1	the	the	DET
ejpam-4747	13	2	utility	utility	NOUN
ejpam-4747	13	3	of	of	ADP
ejpam-4747	13	4	integral	integral	ADJ
ejpam-4747	13	5	transforms	transform	NOUN
ejpam-4747	13	6	is	be	AUX
ejpam-4747	13	7	their	their	PRON
ejpam-4747	13	8	ability	ability	NOUN
ejpam-4747	13	9	to	to	PART
ejpam-4747	13	10	simplify	simplify	VERB
ejpam-4747	13	11	the	the	DET
ejpam-4747	13	12	solution	solution	NOUN
ejpam-4747	13	13	process	process	NOUN
ejpam-4747	13	14	,	,	PUNCT
ejpam-4747	13	15	making	make	VERB
ejpam-4747	13	16	it	it	PRON
ejpam-4747	13	17	easier	easy	ADJ
ejpam-4747	13	18	to	to	PART
ejpam-4747	13	19	calculate	calculate	VERB
ejpam-4747	13	20	the	the	DET
ejpam-4747	13	21	solutions	solution	NOUN
ejpam-4747	13	22	in	in	ADP
ejpam-4747	13	23	a	a	DET
ejpam-4747	13	24	fraction	fraction	NOUN
ejpam-4747	13	25	of	of	ADP
ejpam-4747	13	26	time	time	NOUN
ejpam-4747	13	27	.	.	PUNCT
ejpam-4747	14	1	this	this	PRON
ejpam-4747	14	2	has	have	AUX
ejpam-4747	14	3	enabled	enable	VERB
ejpam-4747	14	4	the	the	DET
ejpam-4747	14	5	application	application	NOUN
ejpam-4747	14	6	of	of	ADP
ejpam-4747	14	7	integral	integral	ADJ
ejpam-4747	14	8	transforms	transform	NOUN
ejpam-4747	14	9	to	to	ADP
ejpam-4747	14	10	a	a	DET
ejpam-4747	14	11	wide	wide	ADJ
ejpam-4747	14	12	variety	variety	NOUN
ejpam-4747	14	13	of	of	ADP
ejpam-4747	14	14	problems	problem	NOUN
ejpam-4747	14	15	,	,	PUNCT
ejpam-4747	14	16	allowing	allow	VERB
ejpam-4747	14	17	for	for	ADP
ejpam-4747	14	18	the	the	DET
ejpam-4747	14	19	production	production	NOUN
ejpam-4747	14	20	of	of	ADP
ejpam-4747	14	21	new	new	ADJ
ejpam-4747	14	22	solutions	solution	NOUN
ejpam-4747	14	23	and	and	CCONJ
ejpam-4747	14	24	the	the	DET
ejpam-4747	14	25	refinement	refinement	NOUN
ejpam-4747	14	26	of	of	ADP
ejpam-4747	14	27	existing	exist	VERB
ejpam-4747	14	28	ones	one	NOUN
ejpam-4747	14	29	[	[	X
ejpam-4747	14	30	18	18	NUM
ejpam-4747	14	31	]	]	PUNCT
ejpam-4747	14	32	.	.	PUNCT
ejpam-4747	15	1	furthermore	furthermore	ADV
ejpam-4747	15	2	,	,	PUNCT
ejpam-4747	15	3	the	the	DET
ejpam-4747	15	4	development	development	NOUN
ejpam-4747	15	5	of	of	ADP
ejpam-4747	15	6	integral	integral	ADJ
ejpam-4747	15	7	transforms	transform	NOUN
ejpam-4747	15	8	have	have	AUX
ejpam-4747	15	9	allowed	allow	VERB
ejpam-4747	15	10	for	for	ADP
ejpam-4747	15	11	the	the	DET
ejpam-4747	15	12	efficient	efficient	ADJ
ejpam-4747	15	13	computation	computation	NOUN
ejpam-4747	15	14	of	of	ADP
ejpam-4747	15	15	pdes	pde	NOUN
ejpam-4747	15	16	,	,	PUNCT
ejpam-4747	15	17	opening	open	VERB
ejpam-4747	15	18	up	up	ADP
ejpam-4747	15	19	new	new	ADJ
ejpam-4747	15	20	possibilities	possibility	NOUN
ejpam-4747	15	21	in	in	ADP
ejpam-4747	15	22	the	the	DET
ejpam-4747	15	23	production	production	NOUN
ejpam-4747	15	24	of	of	ADP
ejpam-4747	15	25	exact	exact	ADJ
ejpam-4747	15	26	and	and	CCONJ
ejpam-4747	15	27	approximate	approximate	ADJ
ejpam-4747	15	28	solutions	solution	NOUN
ejpam-4747	15	29	of	of	ADP
ejpam-4747	15	30	the	the	DET
ejpam-4747	15	31	equations	equation	NOUN
ejpam-4747	15	32	among	among	ADP
ejpam-4747	15	33	them	they	PRON
ejpam-4747	15	34	,	,	PUNCT
ejpam-4747	15	35	pdes	pde	VERB
ejpam-4747	15	36	[	[	X
ejpam-4747	15	37	5	5	NUM
ejpam-4747	15	38	,	,	PUNCT
ejpam-4747	15	39	23	23	NUM
ejpam-4747	15	40	,	,	PUNCT
ejpam-4747	15	41	32	32	NUM
ejpam-4747	15	42	]	]	PUNCT
ejpam-4747	15	43	.	.	PUNCT
ejpam-4747	16	1	recently	recently	ADV
ejpam-4747	16	2	,	,	PUNCT
ejpam-4747	16	3	various	various	ADJ
ejpam-4747	16	4	applications	application	NOUN
ejpam-4747	16	5	doi	doi	NOUN
ejpam-4747	16	6	:	:	PUNCT
ejpam-4747	16	7	https://doi.org/10.29020/nybg.ejpam.v16i2.4747	https://doi.org/10.29020/nybg.ejpam.v16i2.4747	NOUN
ejpam-4747	16	8	email	email	NOUN
ejpam-4747	16	9	address	address	NOUN
ejpam-4747	16	10	:	:	PUNCT
ejpam-4747	17	1	j.i.mustafa20@uomosul.edu.iq	j.i.mustafa20@uomosul.edu.iq	PROPN
ejpam-4747	17	2	.	.	PUNCT
ejpam-4747	18	1	(	(	PUNCT
ejpam-4747	18	2	j.i	j.i	PROPN
ejpam-4747	18	3	.	.	PROPN
ejpam-4747	18	4	mustafa	mustafa	PROPN
ejpam-4747	18	5	)	)	PUNCT
ejpam-4747	18	6	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4747	18	7	1024	1024	NUM
ejpam-4747	19	1	©	©	PROPN
ejpam-4747	19	2	2023	2023	NUM
ejpam-4747	19	3	ejpam	ejpam	NOUN
ejpam-4747	19	4	all	all	DET
ejpam-4747	19	5	rights	right	NOUN
ejpam-4747	19	6	reserved	reserve	VERB
ejpam-4747	19	7	.	.	PUNCT
ejpam-4747	20	1	j.i	j.i	PROPN
ejpam-4747	20	2	.	.	PROPN
ejpam-4747	20	3	mustafa	mustafa	PROPN
ejpam-4747	20	4	/	/	SYM
ejpam-4747	20	5	eur	eur	PROPN
ejpam-4747	20	6	.	.	PUNCT
ejpam-4747	21	1	j.	j.	PROPN
ejpam-4747	21	2	pure	pure	PROPN
ejpam-4747	21	3	appl	appl	PROPN
ejpam-4747	21	4	.	.	PROPN
ejpam-4747	21	5	math	math	PROPN
ejpam-4747	21	6	,	,	PUNCT
ejpam-4747	21	7	16	16	NUM
ejpam-4747	21	8	(	(	PUNCT
ejpam-4747	21	9	2	2	NUM
ejpam-4747	21	10	)	)	PUNCT
ejpam-4747	21	11	(	(	PUNCT
ejpam-4747	21	12	2023	2023	NUM
ejpam-4747	21	13	)	)	PUNCT
ejpam-4747	21	14	,	,	PUNCT
ejpam-4747	21	15	1024	1024	NUM
ejpam-4747	21	16	-	-	SYM
ejpam-4747	21	17	1046	1046	NUM
ejpam-4747	21	18	1025	1025	NUM
ejpam-4747	21	19	of	of	ADP
ejpam-4747	21	20	integral	integral	ADJ
ejpam-4747	21	21	transforms	transform	NOUN
ejpam-4747	21	22	have	have	AUX
ejpam-4747	21	23	been	be	AUX
ejpam-4747	21	24	found	find	VERB
ejpam-4747	21	25	in	in	ADP
ejpam-4747	21	26	different	different	ADJ
ejpam-4747	21	27	areas	area	NOUN
ejpam-4747	21	28	of	of	ADP
ejpam-4747	21	29	engineering	engineering	NOUN
ejpam-4747	21	30	,	,	PUNCT
ejpam-4747	21	31	mathematics	mathematics	PROPN
ejpam-4747	21	32	and	and	CCONJ
ejpam-4747	21	33	physics	physic	NOUN
ejpam-4747	21	34	such	such	ADJ
ejpam-4747	21	35	as	as	ADP
ejpam-4747	21	36	image	image	NOUN
ejpam-4747	21	37	processing	processing	NOUN
ejpam-4747	21	38	,	,	PUNCT
ejpam-4747	21	39	signal	signal	VERB
ejpam-4747	21	40	analysis	analysis	NOUN
ejpam-4747	21	41	and	and	CCONJ
ejpam-4747	21	42	electric	electric	ADJ
ejpam-4747	21	43	[	[	X
ejpam-4747	21	44	21	21	NUM
ejpam-4747	21	45	,	,	PUNCT
ejpam-4747	21	46	26	26	NUM
ejpam-4747	21	47	,	,	PUNCT
ejpam-4747	21	48	30	30	NUM
ejpam-4747	21	49	]	]	PUNCT
ejpam-4747	21	50	.	.	PUNCT
ejpam-4747	22	1	this	this	PRON
ejpam-4747	22	2	is	be	AUX
ejpam-4747	22	3	due	due	ADJ
ejpam-4747	22	4	to	to	ADP
ejpam-4747	22	5	their	their	PRON
ejpam-4747	22	6	properties	property	NOUN
ejpam-4747	22	7	and	and	CCONJ
ejpam-4747	22	8	ability	ability	NOUN
ejpam-4747	22	9	to	to	PART
ejpam-4747	22	10	transform	transform	VERB
ejpam-4747	22	11	a	a	DET
ejpam-4747	22	12	function	function	NOUN
ejpam-4747	22	13	from	from	ADP
ejpam-4747	22	14	one	one	NUM
ejpam-4747	22	15	domain	domain	NOUN
ejpam-4747	22	16	to	to	ADP
ejpam-4747	22	17	another	another	DET
ejpam-4747	22	18	domain	domain	NOUN
ejpam-4747	22	19	while	while	SCONJ
ejpam-4747	22	20	preserving	preserve	VERB
ejpam-4747	22	21	important	important	ADJ
ejpam-4747	22	22	features	feature	NOUN
ejpam-4747	22	23	of	of	ADP
ejpam-4747	22	24	the	the	DET
ejpam-4747	22	25	function	function	NOUN
ejpam-4747	22	26	.	.	PUNCT
ejpam-4747	23	1	their	their	PRON
ejpam-4747	23	2	use	use	NOUN
ejpam-4747	23	3	in	in	ADP
ejpam-4747	23	4	these	these	DET
ejpam-4747	23	5	areas	area	NOUN
ejpam-4747	23	6	makes	make	VERB
ejpam-4747	23	7	them	they	PRON
ejpam-4747	23	8	a	a	DET
ejpam-4747	23	9	valuable	valuable	ADJ
ejpam-4747	23	10	tool	tool	NOUN
ejpam-4747	23	11	as	as	SCONJ
ejpam-4747	23	12	they	they	PRON
ejpam-4747	23	13	provide	provide	VERB
ejpam-4747	23	14	efficient	efficient	ADJ
ejpam-4747	23	15	and	and	CCONJ
ejpam-4747	23	16	accurate	accurate	ADJ
ejpam-4747	23	17	results	result	NOUN
ejpam-4747	23	18	.	.	PUNCT
ejpam-4747	24	1	consequently	consequently	ADV
ejpam-4747	24	2	,	,	PUNCT
ejpam-4747	24	3	integral	integral	ADJ
ejpam-4747	24	4	transforms	transform	NOUN
ejpam-4747	24	5	are	be	AUX
ejpam-4747	24	6	being	be	AUX
ejpam-4747	24	7	used	use	VERB
ejpam-4747	24	8	more	more	ADV
ejpam-4747	24	9	and	and	CCONJ
ejpam-4747	24	10	more	more	ADJ
ejpam-4747	24	11	in	in	ADP
ejpam-4747	24	12	applied	applied	ADJ
ejpam-4747	24	13	mathematics	mathematic	NOUN
ejpam-4747	24	14	[	[	X
ejpam-4747	24	15	13	13	NUM
ejpam-4747	24	16	,	,	PUNCT
ejpam-4747	24	17	15	15	NUM
ejpam-4747	24	18	]	]	PUNCT
ejpam-4747	24	19	.	.	PUNCT
ejpam-4747	25	1	it	it	PRON
ejpam-4747	25	2	is	be	AUX
ejpam-4747	25	3	worth	worth	ADJ
ejpam-4747	25	4	mentioning	mention	VERB
ejpam-4747	25	5	that	that	SCONJ
ejpam-4747	25	6	the	the	DET
ejpam-4747	25	7	integral	integral	ADJ
ejpam-4747	25	8	transforms	transform	NOUN
ejpam-4747	25	9	can	can	AUX
ejpam-4747	25	10	be	be	AUX
ejpam-4747	25	11	used	use	VERB
ejpam-4747	25	12	in	in	ADP
ejpam-4747	25	13	combination	combination	NOUN
ejpam-4747	25	14	with	with	ADP
ejpam-4747	25	15	other	other	ADJ
ejpam-4747	25	16	methods	method	NOUN
ejpam-4747	25	17	to	to	PART
ejpam-4747	25	18	address	address	VERB
ejpam-4747	25	19	the	the	DET
ejpam-4747	25	20	nonlinear	nonlinear	ADJ
ejpam-4747	25	21	parts	part	NOUN
ejpam-4747	25	22	of	of	ADP
ejpam-4747	25	23	equations	equation	NOUN
ejpam-4747	25	24	.	.	PUNCT
ejpam-4747	26	1	this	this	PRON
ejpam-4747	26	2	can	can	AUX
ejpam-4747	26	3	provide	provide	VERB
ejpam-4747	26	4	a	a	DET
ejpam-4747	26	5	much	much	ADV
ejpam-4747	26	6	more	more	ADV
ejpam-4747	26	7	efficient	efficient	ADJ
ejpam-4747	26	8	solution	solution	NOUN
ejpam-4747	26	9	,	,	PUNCT
ejpam-4747	26	10	and	and	CCONJ
ejpam-4747	26	11	can	can	AUX
ejpam-4747	26	12	be	be	AUX
ejpam-4747	26	13	used	use	VERB
ejpam-4747	26	14	to	to	PART
ejpam-4747	26	15	analyse	analyse	VERB
ejpam-4747	26	16	many	many	ADJ
ejpam-4747	26	17	different	different	ADJ
ejpam-4747	26	18	systems	system	NOUN
ejpam-4747	26	19	with	with	ADP
ejpam-4747	26	20	greater	great	ADJ
ejpam-4747	26	21	accuracy	accuracy	NOUN
ejpam-4747	27	1	[	[	X
ejpam-4747	27	2	7	7	NUM
ejpam-4747	27	3	,	,	PUNCT
ejpam-4747	27	4	29	29	NUM
ejpam-4747	27	5	,	,	PUNCT
ejpam-4747	27	6	32	32	NUM
ejpam-4747	27	7	]	]	PUNCT
ejpam-4747	27	8	.	.	PUNCT
ejpam-4747	28	1	one	one	NUM
ejpam-4747	28	2	of	of	ADP
ejpam-4747	28	3	these	these	DET
ejpam-4747	28	4	methods	method	NOUN
ejpam-4747	28	5	is	be	AUX
ejpam-4747	28	6	he	he	PRON
ejpam-4747	28	7	’s	’	VERB
ejpam-4747	28	8	polynomial	polynomial	ADJ
ejpam-4747	28	9	,	,	PUNCT
ejpam-4747	28	10	it	it	PRON
ejpam-4747	28	11	is	be	AUX
ejpam-4747	28	12	a	a	DET
ejpam-4747	28	13	reliable	reliable	ADJ
ejpam-4747	28	14	numerical	numerical	ADJ
ejpam-4747	28	15	approach	approach	NOUN
ejpam-4747	28	16	for	for	ADP
ejpam-4747	28	17	solving	solve	VERB
ejpam-4747	28	18	nonlinear	nonlinear	ADJ
ejpam-4747	28	19	pdes	pde	NOUN
ejpam-4747	28	20	.	.	PUNCT
ejpam-4747	29	1	this	this	DET
ejpam-4747	29	2	method	method	NOUN
ejpam-4747	29	3	is	be	AUX
ejpam-4747	29	4	based	base	VERB
ejpam-4747	29	5	on	on	ADP
ejpam-4747	29	6	the	the	DET
ejpam-4747	29	7	idea	idea	NOUN
ejpam-4747	29	8	that	that	SCONJ
ejpam-4747	29	9	a	a	DET
ejpam-4747	29	10	nonlinear	nonlinear	ADJ
ejpam-4747	29	11	pde	pde	NOUN
ejpam-4747	29	12	can	can	AUX
ejpam-4747	29	13	be	be	AUX
ejpam-4747	29	14	approximated	approximate	VERB
ejpam-4747	29	15	by	by	ADP
ejpam-4747	29	16	a	a	DET
ejpam-4747	29	17	polynomial	polynomial	NOUN
ejpam-4747	29	18	in	in	ADP
ejpam-4747	29	19	a	a	DET
ejpam-4747	29	20	certain	certain	ADJ
ejpam-4747	29	21	variable	variable	NOUN
ejpam-4747	29	22	.	.	PUNCT
ejpam-4747	30	1	it	it	PRON
ejpam-4747	30	2	works	work	VERB
ejpam-4747	30	3	by	by	ADP
ejpam-4747	30	4	expanding	expand	VERB
ejpam-4747	30	5	the	the	DET
ejpam-4747	30	6	nonlinear	nonlinear	ADJ
ejpam-4747	30	7	function	function	NOUN
ejpam-4747	30	8	into	into	ADP
ejpam-4747	30	9	a	a	DET
ejpam-4747	30	10	set	set	NOUN
ejpam-4747	30	11	of	of	ADP
ejpam-4747	30	12	truncated	truncated	ADJ
ejpam-4747	30	13	series	series	NOUN
ejpam-4747	30	14	of	of	ADP
ejpam-4747	30	15	polynomials	polynomial	NOUN
ejpam-4747	30	16	[	[	X
ejpam-4747	30	17	6	6	NUM
ejpam-4747	30	18	,	,	PUNCT
ejpam-4747	30	19	10	10	NUM
ejpam-4747	30	20	]	]	PUNCT
ejpam-4747	30	21	.	.	PUNCT
ejpam-4747	31	1	this	this	DET
ejpam-4747	31	2	set	set	NOUN
ejpam-4747	31	3	of	of	ADP
ejpam-4747	31	4	polynomials	polynomial	NOUN
ejpam-4747	31	5	is	be	AUX
ejpam-4747	31	6	then	then	ADV
ejpam-4747	31	7	used	use	VERB
ejpam-4747	31	8	to	to	PART
ejpam-4747	31	9	approximate	approximate	VERB
ejpam-4747	31	10	the	the	DET
ejpam-4747	31	11	solution	solution	NOUN
ejpam-4747	31	12	of	of	ADP
ejpam-4747	31	13	the	the	DET
ejpam-4747	31	14	pde	pde	NOUN
ejpam-4747	31	15	.	.	PUNCT
ejpam-4747	32	1	he	he	PRON
ejpam-4747	32	2	’s	’	VERB
ejpam-4747	32	3	polynomial	polynomial	ADJ
ejpam-4747	32	4	method	method	NOUN
ejpam-4747	32	5	is	be	AUX
ejpam-4747	32	6	computationally	computationally	ADV
ejpam-4747	32	7	efficient	efficient	ADJ
ejpam-4747	32	8	,	,	PUNCT
ejpam-4747	32	9	since	since	SCONJ
ejpam-4747	32	10	it	it	PRON
ejpam-4747	32	11	only	only	ADV
ejpam-4747	32	12	requires	require	VERB
ejpam-4747	32	13	the	the	DET
ejpam-4747	32	14	evaluation	evaluation	NOUN
ejpam-4747	32	15	of	of	ADP
ejpam-4747	32	16	a	a	DET
ejpam-4747	32	17	few	few	ADJ
ejpam-4747	32	18	polynomial	polynomial	ADJ
ejpam-4747	32	19	coefficients	coefficient	NOUN
ejpam-4747	32	20	rather	rather	ADV
ejpam-4747	32	21	than	than	ADP
ejpam-4747	32	22	a	a	DET
ejpam-4747	32	23	full	full	ADJ
ejpam-4747	32	24	numerical	numerical	ADJ
ejpam-4747	32	25	solution	solution	NOUN
ejpam-4747	32	26	[	[	X
ejpam-4747	32	27	9	9	NUM
ejpam-4747	32	28	]	]	PUNCT
ejpam-4747	32	29	.	.	PUNCT
ejpam-4747	33	1	it	it	PRON
ejpam-4747	33	2	has	have	AUX
ejpam-4747	33	3	been	be	AUX
ejpam-4747	33	4	used	use	VERB
ejpam-4747	33	5	in	in	ADP
ejpam-4747	33	6	a	a	DET
ejpam-4747	33	7	wide	wide	ADJ
ejpam-4747	33	8	range	range	NOUN
ejpam-4747	33	9	of	of	ADP
ejpam-4747	33	10	problems	problem	NOUN
ejpam-4747	33	11	in	in	ADP
ejpam-4747	33	12	fields	field	NOUN
ejpam-4747	33	13	such	such	ADJ
ejpam-4747	33	14	as	as	ADP
ejpam-4747	33	15	fluid	fluid	ADJ
ejpam-4747	33	16	dynamics	dynamic	NOUN
ejpam-4747	33	17	,	,	PUNCT
ejpam-4747	33	18	astrophysics	astrophysic	NOUN
ejpam-4747	33	19	,	,	PUNCT
ejpam-4747	33	20	and	and	CCONJ
ejpam-4747	33	21	acoustics	acoustic	NOUN
ejpam-4747	33	22	,	,	PUNCT
ejpam-4747	33	23	and	and	CCONJ
ejpam-4747	33	24	it	it	PRON
ejpam-4747	33	25	is	be	AUX
ejpam-4747	33	26	a	a	DET
ejpam-4747	33	27	powerful	powerful	ADJ
ejpam-4747	33	28	tool	tool	NOUN
ejpam-4747	33	29	for	for	ADP
ejpam-4747	33	30	solving	solve	VERB
ejpam-4747	33	31	nonlinear	nonlinear	ADJ
ejpam-4747	33	32	pdes	pde	NOUN
ejpam-4747	33	33	[	[	X
ejpam-4747	33	34	27	27	NUM
ejpam-4747	33	35	]	]	PUNCT
ejpam-4747	33	36	.	.	PUNCT
ejpam-4747	34	1	by	by	ADP
ejpam-4747	34	2	understanding	understand	VERB
ejpam-4747	34	3	the	the	DET
ejpam-4747	34	4	underlying	underlying	ADJ
ejpam-4747	34	5	principles	principle	NOUN
ejpam-4747	34	6	of	of	ADP
ejpam-4747	34	7	integral	integral	ADJ
ejpam-4747	34	8	transforms	transform	NOUN
ejpam-4747	34	9	,	,	PUNCT
ejpam-4747	34	10	it	it	PRON
ejpam-4747	34	11	may	may	AUX
ejpam-4747	34	12	become	become	VERB
ejpam-4747	34	13	possible	possible	ADJ
ejpam-4747	34	14	to	to	PART
ejpam-4747	34	15	develop	develop	VERB
ejpam-4747	34	16	more	more	ADV
ejpam-4747	34	17	efficient	efficient	ADJ
ejpam-4747	34	18	and	and	CCONJ
ejpam-4747	34	19	accurate	accurate	ADJ
ejpam-4747	34	20	methods	method	NOUN
ejpam-4747	34	21	for	for	ADP
ejpam-4747	34	22	solving	solve	VERB
ejpam-4747	34	23	equations	equation	NOUN
ejpam-4747	34	24	[	[	X
ejpam-4747	34	25	1	1	NUM
ejpam-4747	34	26	,	,	PUNCT
ejpam-4747	34	27	4	4	NUM
ejpam-4747	34	28	,	,	PUNCT
ejpam-4747	34	29	8	8	NUM
ejpam-4747	34	30	,	,	PUNCT
ejpam-4747	34	31	14	14	NUM
ejpam-4747	34	32	,	,	PUNCT
ejpam-4747	34	33	16	16	NUM
ejpam-4747	34	34	]	]	PUNCT
ejpam-4747	34	35	.	.	PUNCT
ejpam-4747	35	1	in	in	ADP
ejpam-4747	35	2	this	this	DET
ejpam-4747	35	3	paper	paper	NOUN
ejpam-4747	35	4	,	,	PUNCT
ejpam-4747	35	5	the	the	DET
ejpam-4747	35	6	integral	integral	ADJ
ejpam-4747	35	7	transforms	transform	NOUN
ejpam-4747	35	8	are	be	AUX
ejpam-4747	35	9	generalized	generalize	VERB
ejpam-4747	35	10	,	,	PUNCT
ejpam-4747	35	11	and	and	CCONJ
ejpam-4747	35	12	then	then	ADV
ejpam-4747	35	13	combined	combine	VERB
ejpam-4747	35	14	it	it	PRON
ejpam-4747	35	15	with	with	SCONJ
ejpam-4747	35	16	he	he	PRON
ejpam-4747	35	17	’s	’	VERB
ejpam-4747	35	18	polynomial	polynomial	ADJ
ejpam-4747	35	19	method	method	NOUN
ejpam-4747	35	20	to	to	PART
ejpam-4747	35	21	solve	solve	VERB
ejpam-4747	35	22	nonlinear	nonlinear	ADJ
ejpam-4747	35	23	pdes	pde	NOUN
ejpam-4747	35	24	.	.	PUNCT
ejpam-4747	36	1	as	as	ADP
ejpam-4747	36	2	the	the	DET
ejpam-4747	36	3	examples	example	NOUN
ejpam-4747	36	4	,	,	PUNCT
ejpam-4747	36	5	we	we	PRON
ejpam-4747	36	6	apply	apply	VERB
ejpam-4747	36	7	the	the	DET
ejpam-4747	36	8	combination	combination	NOUN
ejpam-4747	36	9	of	of	ADP
ejpam-4747	36	10	generalization	generalization	NOUN
ejpam-4747	36	11	(	(	PUNCT
ejpam-4747	36	12	gn	gn	PROPN
ejpam-4747	36	13	)	)	PUNCT
ejpam-4747	36	14	of	of	ADP
ejpam-4747	36	15	integral	integral	ADJ
ejpam-4747	36	16	transforms	transform	NOUN
ejpam-4747	36	17	and	and	CCONJ
ejpam-4747	36	18	he	he	PRON
ejpam-4747	36	19	’s	’	VERB
ejpam-4747	36	20	polynomial	polynomial	ADJ
ejpam-4747	36	21	method	method	NOUN
ejpam-4747	36	22	to	to	PART
ejpam-4747	36	23	solve	solve	VERB
ejpam-4747	36	24	the	the	DET
ejpam-4747	36	25	nonlinear	nonlinear	ADJ
ejpam-4747	36	26	pdes	pde	NOUN
ejpam-4747	36	27	,	,	PUNCT
ejpam-4747	36	28	which	which	PRON
ejpam-4747	36	29	include	include	VERB
ejpam-4747	36	30	the	the	DET
ejpam-4747	36	31	nonlinear	nonlinear	ADJ
ejpam-4747	36	32	gas	gas	NOUN
ejpam-4747	36	33	dynamic	dynamic	ADJ
ejpam-4747	36	34	equation	equation	NOUN
ejpam-4747	36	35	,	,	PUNCT
ejpam-4747	36	36	system	system	NOUN
ejpam-4747	36	37	of	of	ADP
ejpam-4747	36	38	coupled	couple	VERB
ejpam-4747	36	39	nonlinear	nonlinear	ADJ
ejpam-4747	36	40	burgers	burger	NOUN
ejpam-4747	36	41	’	'	PUNCT
ejpam-4747	36	42	equation	equation	NOUN
ejpam-4747	36	43	and	and	CCONJ
ejpam-4747	36	44	the	the	DET
ejpam-4747	36	45	non	non	ADJ
ejpam-4747	36	46	-	-	ADJ
ejpam-4747	36	47	homogeneous	homogeneous	ADJ
ejpam-4747	36	48	gas	gas	NOUN
ejpam-4747	36	49	dynamic	dynamic	ADJ
ejpam-4747	36	50	equation	equation	NOUN
ejpam-4747	36	51	.	.	PUNCT
ejpam-4747	37	1	there	there	PRON
ejpam-4747	37	2	are	be	VERB
ejpam-4747	37	3	some	some	DET
ejpam-4747	37	4	scientific	scientific	ADJ
ejpam-4747	37	5	applications	application	NOUN
ejpam-4747	37	6	of	of	ADP
ejpam-4747	37	7	these	these	DET
ejpam-4747	37	8	types	type	NOUN
ejpam-4747	37	9	of	of	ADP
ejpam-4747	37	10	nonlinear	nonlinear	ADJ
ejpam-4747	37	11	equations	equation	NOUN
ejpam-4747	37	12	.	.	PUNCT
ejpam-4747	38	1	for	for	ADP
ejpam-4747	38	2	instance	instance	NOUN
ejpam-4747	38	3	,	,	PUNCT
ejpam-4747	38	4	in	in	ADP
ejpam-4747	38	5	ideal	ideal	ADJ
ejpam-4747	38	6	gas	gas	NOUN
ejpam-4747	38	7	dynamics	dynamic	NOUN
ejpam-4747	38	8	,	,	PUNCT
ejpam-4747	38	9	several	several	ADJ
ejpam-4747	38	10	kinds	kind	NOUN
ejpam-4747	38	11	of	of	ADP
ejpam-4747	38	12	waves	wave	NOUN
ejpam-4747	38	13	in	in	ADP
ejpam-4747	38	14	nonlinear	nonlinear	ADJ
ejpam-4747	38	15	systems	system	NOUN
ejpam-4747	38	16	are	be	AUX
ejpam-4747	38	17	described	describe	VERB
ejpam-4747	38	18	including	include	VERB
ejpam-4747	38	19	discontinuities	discontinuity	NOUN
ejpam-4747	38	20	in	in	ADP
ejpam-4747	38	21	contact	contact	NOUN
ejpam-4747	38	22	,	,	PUNCT
ejpam-4747	38	23	shock	shock	NOUN
ejpam-4747	38	24	fronts	front	NOUN
ejpam-4747	38	25	and	and	CCONJ
ejpam-4747	38	26	rare	rare	ADJ
ejpam-4747	38	27	factions	faction	NOUN
ejpam-4747	38	28	.	.	PUNCT
ejpam-4747	39	1	it	it	PRON
ejpam-4747	39	2	’s	’	VERB
ejpam-4747	39	3	worth	worth	ADJ
ejpam-4747	39	4	mentioning	mention	VERB
ejpam-4747	39	5	that	that	SCONJ
ejpam-4747	39	6	many	many	ADJ
ejpam-4747	39	7	researchers	researcher	NOUN
ejpam-4747	39	8	have	have	AUX
ejpam-4747	39	9	solved	solve	VERB
ejpam-4747	39	10	the	the	DET
ejpam-4747	39	11	gas	gas	NOUN
ejpam-4747	39	12	dynamics	dynamic	NOUN
ejpam-4747	39	13	equations	equation	NOUN
ejpam-4747	39	14	[	[	X
ejpam-4747	39	15	2	2	NUM
ejpam-4747	39	16	,	,	PUNCT
ejpam-4747	39	17	3	3	NUM
ejpam-4747	39	18	]	]	PUNCT
ejpam-4747	39	19	.	.	PUNCT
ejpam-4747	40	1	for	for	ADP
ejpam-4747	40	2	the	the	DET
ejpam-4747	40	3	coupled	couple	VERB
ejpam-4747	40	4	burgers	burger	NOUN
ejpam-4747	40	5	’	'	PUNCT
ejpam-4747	40	6	equation	equation	NOUN
ejpam-4747	40	7	,	,	PUNCT
ejpam-4747	40	8	it	it	PRON
ejpam-4747	40	9	falls	fall	VERB
ejpam-4747	40	10	into	into	ADP
ejpam-4747	40	11	the	the	DET
ejpam-4747	40	12	category	category	NOUN
ejpam-4747	40	13	of	of	ADP
ejpam-4747	40	14	integrable	integrable	ADJ
ejpam-4747	40	15	equations	equation	NOUN
ejpam-4747	40	16	,	,	PUNCT
ejpam-4747	40	17	such	such	ADJ
ejpam-4747	40	18	as	as	ADP
ejpam-4747	40	19	nonlinear	nonlinear	ADJ
ejpam-4747	40	20	schrödinger	schrödinger	NOUN
ejpam-4747	40	21	,	,	PUNCT
ejpam-4747	40	22	korteweg	korteweg	PROPN
ejpam-4747	40	23	–	–	PUNCT
ejpam-4747	40	24	de	de	X
ejpam-4747	40	25	vries	vrie	NOUN
ejpam-4747	40	26	,	,	PUNCT
ejpam-4747	40	27	and	and	CCONJ
ejpam-4747	40	28	bogoyavlensky	bogoyavlensky	NOUN
ejpam-4747	40	29	-	-	PUNCT
ejpam-4747	40	30	konopelchenko	konopelchenko	ADJ
ejpam-4747	40	31	equations	equation	NOUN
ejpam-4747	40	32	[	[	X
ejpam-4747	40	33	11	11	NUM
ejpam-4747	40	34	,	,	PUNCT
ejpam-4747	40	35	12	12	NUM
ejpam-4747	40	36	,	,	PUNCT
ejpam-4747	40	37	22	22	NUM
ejpam-4747	40	38	,	,	PUNCT
ejpam-4747	40	39	31	31	NUM
ejpam-4747	40	40	]	]	PUNCT
ejpam-4747	40	41	.	.	PUNCT
ejpam-4747	41	1	the	the	DET
ejpam-4747	41	2	structure	structure	NOUN
ejpam-4747	41	3	of	of	ADP
ejpam-4747	41	4	this	this	DET
ejpam-4747	41	5	article	article	NOUN
ejpam-4747	41	6	is	be	AUX
ejpam-4747	41	7	as	as	SCONJ
ejpam-4747	41	8	follows	follow	VERB
ejpam-4747	41	9	:	:	PUNCT
ejpam-4747	41	10	in	in	ADP
ejpam-4747	41	11	section	section	NOUN
ejpam-4747	41	12	(	(	PUNCT
ejpam-4747	41	13	2	2	NUM
ejpam-4747	41	14	)	)	PUNCT
ejpam-4747	41	15	,	,	PUNCT
ejpam-4747	41	16	a	a	DET
ejpam-4747	41	17	general	general	ADJ
ejpam-4747	41	18	structure	structure	NOUN
ejpam-4747	41	19	for	for	ADP
ejpam-4747	41	20	the	the	DET
ejpam-4747	41	21	gn	gn	PROPN
ejpam-4747	41	22	of	of	ADP
ejpam-4747	41	23	the	the	DET
ejpam-4747	41	24	integral	integral	ADJ
ejpam-4747	41	25	transforms	transform	NOUN
ejpam-4747	41	26	is	be	AUX
ejpam-4747	41	27	presented	present	VERB
ejpam-4747	41	28	.	.	PUNCT
ejpam-4747	42	1	then	then	ADV
ejpam-4747	42	2	,	,	PUNCT
ejpam-4747	42	3	some	some	DET
ejpam-4747	42	4	theorems	theorem	NOUN
ejpam-4747	42	5	for	for	ADP
ejpam-4747	42	6	the	the	DET
ejpam-4747	42	7	generalized	generalized	ADJ
ejpam-4747	42	8	integral	integral	ADJ
ejpam-4747	42	9	transform	transform	NOUN
ejpam-4747	42	10	of	of	ADP
ejpam-4747	42	11	functions	function	NOUN
ejpam-4747	42	12	are	be	AUX
ejpam-4747	42	13	proved	prove	VERB
ejpam-4747	42	14	in	in	ADP
ejpam-4747	42	15	section	section	NOUN
ejpam-4747	42	16	(	(	PUNCT
ejpam-4747	42	17	3	3	NUM
ejpam-4747	42	18	)	)	PUNCT
ejpam-4747	42	19	.	.	PUNCT
ejpam-4747	43	1	as	as	ADP
ejpam-4747	43	2	main	main	ADJ
ejpam-4747	43	3	examples	example	NOUN
ejpam-4747	43	4	,	,	PUNCT
ejpam-4747	43	5	we	we	PRON
ejpam-4747	43	6	prove	prove	VERB
ejpam-4747	43	7	the	the	DET
ejpam-4747	43	8	constant	constant	ADJ
ejpam-4747	43	9	,	,	PUNCT
ejpam-4747	43	10	polynomial	polynomial	ADJ
ejpam-4747	43	11	,	,	PUNCT
ejpam-4747	43	12	trigonometric	trigonometric	ADJ
ejpam-4747	43	13	,	,	PUNCT
ejpam-4747	43	14	and	and	CCONJ
ejpam-4747	43	15	exponential	exponential	ADJ
ejpam-4747	43	16	functions	function	NOUN
ejpam-4747	43	17	.	.	PUNCT
ejpam-4747	44	1	in	in	ADP
ejpam-4747	44	2	section	section	NOUN
ejpam-4747	44	3	(	(	PUNCT
ejpam-4747	44	4	4	4	NUM
ejpam-4747	44	5	)	)	PUNCT
ejpam-4747	44	6	,	,	PUNCT
ejpam-4747	44	7	we	we	PRON
ejpam-4747	44	8	examine	examine	VERB
ejpam-4747	44	9	some	some	DET
ejpam-4747	44	10	useful	useful	ADJ
ejpam-4747	44	11	properties	property	NOUN
ejpam-4747	44	12	for	for	ADP
ejpam-4747	44	13	the	the	DET
ejpam-4747	44	14	gn	gn	PROPN
ejpam-4747	44	15	of	of	ADP
ejpam-4747	44	16	integral	integral	ADJ
ejpam-4747	44	17	transform	transform	NOUN
ejpam-4747	44	18	.	.	PUNCT
ejpam-4747	45	1	in	in	ADP
ejpam-4747	45	2	section	section	NOUN
ejpam-4747	45	3	(	(	PUNCT
ejpam-4747	45	4	5	5	NUM
ejpam-4747	45	5	)	)	PUNCT
ejpam-4747	45	6	,	,	PUNCT
ejpam-4747	45	7	our	our	PRON
ejpam-4747	45	8	mathematical	mathematical	ADJ
ejpam-4747	45	9	method	method	NOUN
ejpam-4747	45	10	is	be	AUX
ejpam-4747	45	11	illustrated	illustrate	VERB
ejpam-4747	45	12	by	by	ADP
ejpam-4747	45	13	using	use	VERB
ejpam-4747	45	14	he	he	PRON
ejpam-4747	45	15	’s	’s	PART
ejpam-4747	45	16	polynomial	polynomial	ADJ
ejpam-4747	45	17	for	for	ADP
ejpam-4747	45	18	pdes	pde	NOUN
ejpam-4747	45	19	with	with	ADP
ejpam-4747	45	20	applying	apply	VERB
ejpam-4747	45	21	the	the	DET
ejpam-4747	45	22	gn	gn	PROPN
ejpam-4747	45	23	.	.	PUNCT
ejpam-4747	46	1	in	in	ADP
ejpam-4747	46	2	section	section	NOUN
ejpam-4747	46	3	(	(	PUNCT
ejpam-4747	46	4	6	6	NUM
ejpam-4747	46	5	)	)	PUNCT
ejpam-4747	46	6	,	,	PUNCT
ejpam-4747	46	7	based	base	VERB
ejpam-4747	46	8	on	on	ADP
ejpam-4747	46	9	appropriate	appropriate	ADJ
ejpam-4747	46	10	gn	gn	PROPN
ejpam-4747	46	11	of	of	ADP
ejpam-4747	46	12	integral	integral	ADJ
ejpam-4747	46	13	transforms	transform	NOUN
ejpam-4747	46	14	with	with	ADP
ejpam-4747	46	15	he	he	PRON
ejpam-4747	46	16	’s	’	VERB
ejpam-4747	46	17	polynomial	polynomial	ADJ
ejpam-4747	46	18	method	method	NOUN
ejpam-4747	46	19	,	,	PUNCT
ejpam-4747	46	20	we	we	PRON
ejpam-4747	46	21	present	present	VERB
ejpam-4747	46	22	three	three	NUM
ejpam-4747	46	23	different	different	ADJ
ejpam-4747	46	24	examples	example	NOUN
ejpam-4747	46	25	for	for	ADP
ejpam-4747	46	26	nonlinear	nonlinear	ADJ
ejpam-4747	46	27	pdes	pde	NOUN
ejpam-4747	46	28	:	:	PUNCT
ejpam-4747	46	29	the	the	DET
ejpam-4747	46	30	nonlinear	nonlinear	ADJ
ejpam-4747	46	31	gas	gas	NOUN
ejpam-4747	46	32	dynamic	dynamic	ADJ
ejpam-4747	46	33	equation	equation	NOUN
ejpam-4747	46	34	,	,	PUNCT
ejpam-4747	46	35	system	system	NOUN
ejpam-4747	46	36	of	of	ADP
ejpam-4747	46	37	coupled	couple	VERB
ejpam-4747	46	38	nonlinear	nonlinear	ADJ
ejpam-4747	46	39	burgers	burger	NOUN
ejpam-4747	46	40	’	'	PUNCT
ejpam-4747	46	41	equation	equation	NOUN
ejpam-4747	46	42	and	and	CCONJ
ejpam-4747	46	43	the	the	DET
ejpam-4747	46	44	non	non	ADJ
ejpam-4747	46	45	-	-	ADJ
ejpam-4747	46	46	homogeneous	homogeneous	ADJ
ejpam-4747	46	47	gas	gas	NOUN
ejpam-4747	46	48	dynamic	dynamic	ADJ
ejpam-4747	46	49	equation	equation	NOUN
ejpam-4747	46	50	,	,	PUNCT
ejpam-4747	46	51	the	the	DET
ejpam-4747	46	52	effectiveness	effectiveness	NOUN
ejpam-4747	46	53	of	of	ADP
ejpam-4747	46	54	the	the	DET
ejpam-4747	46	55	method	method	NOUN
ejpam-4747	46	56	is	be	AUX
ejpam-4747	46	57	evaluated	evaluate	VERB
ejpam-4747	46	58	by	by	ADP
ejpam-4747	46	59	deriving	derive	VERB
ejpam-4747	46	60	the	the	DET
ejpam-4747	46	61	solutions	solution	NOUN
ejpam-4747	46	62	of	of	ADP
ejpam-4747	46	63	the	the	DET
ejpam-4747	46	64	j.i	j.i	PROPN
ejpam-4747	46	65	.	.	PROPN
ejpam-4747	46	66	mustafa	mustafa	PROPN
ejpam-4747	46	67	/	/	SYM
ejpam-4747	46	68	eur	eur	PROPN
ejpam-4747	46	69	.	.	PUNCT
ejpam-4747	47	1	j.	j.	PROPN
ejpam-4747	47	2	pure	pure	PROPN
ejpam-4747	47	3	appl	appl	PROPN
ejpam-4747	47	4	.	.	PROPN
ejpam-4747	47	5	math	math	PROPN
ejpam-4747	47	6	,	,	PUNCT
ejpam-4747	47	7	16	16	NUM
ejpam-4747	47	8	(	(	PUNCT
ejpam-4747	47	9	2	2	NUM
ejpam-4747	47	10	)	)	PUNCT
ejpam-4747	47	11	(	(	PUNCT
ejpam-4747	47	12	2023	2023	NUM
ejpam-4747	47	13	)	)	PUNCT
ejpam-4747	47	14	,	,	PUNCT
ejpam-4747	47	15	1024	1024	NUM
ejpam-4747	47	16	-	-	SYM
ejpam-4747	47	17	1046	1046	NUM
ejpam-4747	47	18	1026	1026	NUM
ejpam-4747	47	19	corresponding	correspond	VERB
ejpam-4747	47	20	pdes	pde	NOUN
ejpam-4747	47	21	.	.	PUNCT
ejpam-4747	48	1	2	2	X
ejpam-4747	48	2	.	.	X
ejpam-4747	48	3	a	a	DET
ejpam-4747	48	4	generalization	generalization	NOUN
ejpam-4747	48	5	of	of	ADP
ejpam-4747	48	6	integral	integral	ADJ
ejpam-4747	48	7	transforms	transform	NOUN
ejpam-4747	48	8	here	here	ADV
ejpam-4747	48	9	,	,	PUNCT
ejpam-4747	48	10	we	we	PRON
ejpam-4747	48	11	present	present	VERB
ejpam-4747	48	12	a	a	DET
ejpam-4747	48	13	gn	gn	PROPN
ejpam-4747	48	14	of	of	ADP
ejpam-4747	48	15	integral	integral	ADJ
ejpam-4747	48	16	transforms	transform	NOUN
ejpam-4747	48	17	which	which	PRON
ejpam-4747	48	18	includes	include	VERB
ejpam-4747	48	19	most	most	ADV
ejpam-4747	48	20	integral	integral	ADJ
ejpam-4747	48	21	transforms	transform	NOUN
ejpam-4747	48	22	,	,	PUNCT
ejpam-4747	48	23	or	or	CCONJ
ejpam-4747	48	24	even	even	ADV
ejpam-4747	48	25	all	all	PRON
ejpam-4747	48	26	of	of	ADP
ejpam-4747	48	27	them	they	PRON
ejpam-4747	48	28	in	in	ADP
ejpam-4747	48	29	the	the	DET
ejpam-4747	48	30	class	class	NOUN
ejpam-4747	48	31	of	of	ADP
ejpam-4747	48	32	laplace	laplace	NOUN
ejpam-4747	48	33	transforms	transform	VERB
ejpam-4747	48	34	(	(	PUNCT
ejpam-4747	48	35	see	see	VERB
ejpam-4747	48	36	,	,	PUNCT
ejpam-4747	48	37	e.g.	e.g.	ADV
ejpam-4747	48	38	,	,	PUNCT
ejpam-4747	48	39	[	[	X
ejpam-4747	48	40	8	8	NUM
ejpam-4747	48	41	,	,	PUNCT
ejpam-4747	48	42	14	14	NUM
ejpam-4747	48	43	,	,	PUNCT
ejpam-4747	48	44	15	15	NUM
ejpam-4747	48	45	,	,	PUNCT
ejpam-4747	48	46	17	17	NUM
ejpam-4747	48	47	]	]	PUNCT
ejpam-4747	48	48	)	)	PUNCT
ejpam-4747	48	49	.	.	PUNCT
ejpam-4747	49	1	in	in	ADP
ejpam-4747	49	2	the	the	DET
ejpam-4747	49	3	next	next	ADJ
ejpam-4747	49	4	definition	definition	NOUN
ejpam-4747	49	5	,	,	PUNCT
ejpam-4747	49	6	we	we	PRON
ejpam-4747	49	7	define	define	VERB
ejpam-4747	49	8	some	some	DET
ejpam-4747	49	9	functions	function	NOUN
ejpam-4747	49	10	related	relate	VERB
ejpam-4747	49	11	to	to	ADP
ejpam-4747	49	12	the	the	DET
ejpam-4747	49	13	gn	gn	PROPN
ejpam-4747	49	14	,	,	PUNCT
ejpam-4747	49	15	and	and	CCONJ
ejpam-4747	49	16	then	then	ADV
ejpam-4747	49	17	formulate	formulate	VERB
ejpam-4747	49	18	the	the	DET
ejpam-4747	49	19	general	general	ADJ
ejpam-4747	49	20	form	form	NOUN
ejpam-4747	49	21	of	of	ADP
ejpam-4747	49	22	the	the	DET
ejpam-4747	49	23	gn	gn	PROPN
ejpam-4747	49	24	.	.	PUNCT
ejpam-4747	50	1	after	after	ADP
ejpam-4747	50	2	that	that	PRON
ejpam-4747	50	3	,	,	PUNCT
ejpam-4747	50	4	based	base	VERB
ejpam-4747	50	5	on	on	ADP
ejpam-4747	50	6	this	this	DET
ejpam-4747	50	7	gn	gn	PROPN
ejpam-4747	50	8	,	,	PUNCT
ejpam-4747	50	9	the	the	DET
ejpam-4747	50	10	transforms	transform	NOUN
ejpam-4747	50	11	of	of	ADP
ejpam-4747	50	12	some	some	DET
ejpam-4747	50	13	functions	function	NOUN
ejpam-4747	50	14	will	will	AUX
ejpam-4747	50	15	be	be	AUX
ejpam-4747	50	16	found	find	VERB
ejpam-4747	50	17	by	by	ADP
ejpam-4747	50	18	proving	prove	VERB
ejpam-4747	50	19	some	some	DET
ejpam-4747	50	20	theorems	theorem	NOUN
ejpam-4747	50	21	.	.	PUNCT
ejpam-4747	51	1	definition	definition	NOUN
ejpam-4747	51	2	1	1	NUM
ejpam-4747	51	3	.	.	PUNCT
ejpam-4747	51	4	assume	assume	VERB
ejpam-4747	51	5	that	that	SCONJ
ejpam-4747	51	6	the	the	DET
ejpam-4747	51	7	function	function	NOUN
ejpam-4747	51	8	f	f	PROPN
ejpam-4747	51	9	(	(	PUNCT
ejpam-4747	51	10	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	51	11	)	)	PUNCT
ejpam-4747	51	12	t	t	PROPN
ejpam-4747	51	13	)	)	PUNCT
ejpam-4747	51	14	,	,	PUNCT
ejpam-4747	51	15	t	t	PROPN
ejpam-4747	51	16	∈	∈	PROPN
ejpam-4747	52	1	[	[	X
ejpam-4747	52	2	0,∞	0,∞	NOUN
ejpam-4747	52	3	)	)	PUNCT
ejpam-4747	52	4	is	be	AUX
ejpam-4747	52	5	an	an	DET
ejpam-4747	52	6	integrable	integrable	ADJ
ejpam-4747	52	7	.	.	PUNCT
ejpam-4747	53	1	given	give	VERB
ejpam-4747	53	2	the	the	DET
ejpam-4747	53	3	positive	positive	ADJ
ejpam-4747	53	4	real	real	ADJ
ejpam-4747	53	5	functions	function	NOUN
ejpam-4747	53	6	h(ϑ	h(ϑ	NOUN
ejpam-4747	53	7	)	)	PUNCT
ejpam-4747	53	8	̸=	̸=	NOUN
ejpam-4747	53	9	0	0	NUM
ejpam-4747	53	10	and	and	CCONJ
ejpam-4747	53	11	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	53	12	)	)	PUNCT
ejpam-4747	53	13	,	,	PUNCT
ejpam-4747	53	14	the	the	DET
ejpam-4747	53	15	following	follow	VERB
ejpam-4747	53	16	formula	formula	NOUN
ejpam-4747	53	17	shows	show	VERB
ejpam-4747	53	18	the	the	DET
ejpam-4747	53	19	general	general	ADJ
ejpam-4747	53	20	form	form	NOUN
ejpam-4747	53	21	of	of	ADP
ejpam-4747	53	22	the	the	DET
ejpam-4747	53	23	gn	gn	PROPN
ejpam-4747	53	24	(	(	PUNCT
ejpam-4747	53	25	gn(ϑ	gn(ϑ	NOUN
ejpam-4747	53	26	)	)	PUNCT
ejpam-4747	53	27	)	)	PUNCT
ejpam-4747	53	28	of	of	ADP
ejpam-4747	53	29	f	f	PROPN
ejpam-4747	53	30	(	(	PUNCT
ejpam-4747	53	31	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	53	32	)	)	PUNCT
ejpam-4747	53	33	t	t	PROPN
ejpam-4747	53	34	):	):	PUNCT
ejpam-4747	53	35	gn	gn	PROPN
ejpam-4747	54	1	[	[	X
ejpam-4747	54	2	f	f	X
ejpam-4747	54	3	(	(	PUNCT
ejpam-4747	54	4	t	t	PROPN
ejpam-4747	54	5	)	)	PUNCT
ejpam-4747	54	6	]	]	PUNCT
ejpam-4747	54	7	=	=	NOUN
ejpam-4747	54	8	gn(ϑ	gn(ϑ	X
ejpam-4747	54	9	)	)	PUNCT
ejpam-4747	54	10	=	=	SYM
ejpam-4747	54	11	h(ϑ	h(ϑ	PROPN
ejpam-4747	54	12	)	)	PUNCT
ejpam-4747	54	13	∫	∫	PROPN
ejpam-4747	55	1	∞	∞	PROPN
ejpam-4747	55	2	0	0	NUM
ejpam-4747	56	1	f	f	PROPN
ejpam-4747	56	2	(	(	PUNCT
ejpam-4747	56	3	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	56	4	)	)	PUNCT
ejpam-4747	56	5	t	t	PROPN
ejpam-4747	56	6	)	)	PUNCT
ejpam-4747	56	7	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	56	8	)	)	PUNCT
ejpam-4747	56	9	tt	tt	PROPN
ejpam-4747	56	10	(	(	PUNCT
ejpam-4747	56	11	1	1	NUM
ejpam-4747	56	12	)	)	PUNCT
ejpam-4747	56	13	=	=	SYM
ejpam-4747	56	14	lim	lim	PROPN
ejpam-4747	56	15	τ→∞	τ→∞	NUM
ejpam-4747	56	16	h(ϑ	h(ϑ	PROPN
ejpam-4747	56	17	)	)	PUNCT
ejpam-4747	56	18	∫	∫	PROPN
ejpam-4747	57	1	τ	τ	PROPN
ejpam-4747	57	2	0	0	NUM
ejpam-4747	57	3	f	f	PROPN
ejpam-4747	57	4	(	(	PUNCT
ejpam-4747	57	5	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	57	6	)	)	PUNCT
ejpam-4747	57	7	t	t	PROPN
ejpam-4747	57	8	)	)	PUNCT
ejpam-4747	57	9	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	57	10	)	)	PUNCT
ejpam-4747	57	11	tt	tt	PROPN
ejpam-4747	57	12	,	,	PUNCT
ejpam-4747	57	13	(	(	PUNCT
ejpam-4747	57	14	2	2	NUM
ejpam-4747	57	15	)	)	PUNCT
ejpam-4747	57	16	then	then	ADV
ejpam-4747	57	17	,	,	PUNCT
ejpam-4747	57	18	when	when	SCONJ
ejpam-4747	57	19	the	the	DET
ejpam-4747	57	20	limit	limit	NOUN
ejpam-4747	57	21	in	in	ADP
ejpam-4747	57	22	(	(	PUNCT
ejpam-4747	57	23	2	2	X
ejpam-4747	57	24	)	)	PUNCT
ejpam-4747	57	25	is	be	AUX
ejpam-4747	57	26	exist	exist	ADJ
ejpam-4747	57	27	,	,	PUNCT
ejpam-4747	57	28	we	we	PRON
ejpam-4747	57	29	get,∣∣∣∣∣h(ϑ	get,∣∣∣∣∣h(ϑ	ADJ
ejpam-4747	57	30	)	)	PUNCT
ejpam-4747	57	31	∫	∫	PROPN
ejpam-4747	58	1	τ	τ	PROPN
ejpam-4747	59	1	′	′	NOUN
ejpam-4747	59	2	0	0	NUM
ejpam-4747	60	1	f	f	PROPN
ejpam-4747	60	2	(	(	PUNCT
ejpam-4747	60	3	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	60	4	)	)	PUNCT
ejpam-4747	60	5	t	t	PROPN
ejpam-4747	60	6	)	)	PUNCT
ejpam-4747	60	7	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	60	8	)	)	PUNCT
ejpam-4747	60	9	tt	tt	PROPN
ejpam-4747	60	10	∣∣∣∣∣	∣∣∣∣∣	ADJ
ejpam-4747	60	11	≤	≤	PROPN
ejpam-4747	60	12	h(ϑ	h(ϑ	PROPN
ejpam-4747	60	13	)	)	PUNCT
ejpam-4747	60	14	∫	∫	PROPN
ejpam-4747	60	15	τ	τ	PROPN
ejpam-4747	61	1	′	′	NOUN
ejpam-4747	61	2	0	0	NUM
ejpam-4747	62	1	∣∣∣f	∣∣∣f	X
ejpam-4747	62	2	(	(	PUNCT
ejpam-4747	62	3	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	62	4	)	)	PUNCT
ejpam-4747	62	5	t	t	NOUN
ejpam-4747	62	6	)	)	PUNCT
ejpam-4747	62	7	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	62	8	)	)	PUNCT
ejpam-4747	62	9	t	t	PROPN
ejpam-4747	62	10	∣∣∣	∣∣∣	NOUN
ejpam-4747	62	11	t	t	PROPN
ejpam-4747	63	1	−→	−→	NOUN
ejpam-4747	63	2	0	0	NUM
ejpam-4747	63	3	,	,	PUNCT
ejpam-4747	63	4	(	(	PUNCT
ejpam-4747	63	5	3	3	X
ejpam-4747	63	6	)	)	PUNCT
ejpam-4747	64	1	where	where	SCONJ
ejpam-4747	64	2	,	,	PUNCT
ejpam-4747	64	3	τ	τ	PROPN
ejpam-4747	64	4	→	→	SYM
ejpam-4747	64	5	∞	∞	PROPN
ejpam-4747	64	6	for	for	ADP
ejpam-4747	64	7	all	all	PRON
ejpam-4747	64	8	τ	τ	PROPN
ejpam-4747	64	9	′	′	NUM
ejpam-4747	64	10	>	>	X
ejpam-4747	64	11	τ	τ	PROPN
ejpam-4747	64	12	.	.	PUNCT
ejpam-4747	65	1	then	then	ADV
ejpam-4747	65	2	gn(f	gn(f	INTJ
ejpam-4747	65	3	(	(	PUNCT
ejpam-4747	65	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	65	5	)	)	PUNCT
ejpam-4747	65	6	t);ϑ	t);ϑ	NOUN
ejpam-4747	65	7	)	)	PUNCT
ejpam-4747	65	8	will	will	AUX
ejpam-4747	65	9	be	be	AUX
ejpam-4747	65	10	convergence	convergence	NOUN
ejpam-4747	65	11	.	.	PUNCT
ejpam-4747	66	1	definition	definition	NOUN
ejpam-4747	66	2	2	2	NUM
ejpam-4747	66	3	.	.	PUNCT
ejpam-4747	67	1	let	let	VERB
ejpam-4747	67	2	f	f	PROPN
ejpam-4747	67	3	(	(	PUNCT
ejpam-4747	67	4	t	t	PROPN
ejpam-4747	67	5	)	)	PUNCT
ejpam-4747	67	6	,	,	PUNCT
ejpam-4747	67	7	has	have	VERB
ejpam-4747	67	8	an	an	DET
ejpam-4747	67	9	exponential	exponential	ADJ
ejpam-4747	67	10	order	order	NOUN
ejpam-4747	67	11	κ	κ	NOUN
ejpam-4747	67	12	,	,	PUNCT
ejpam-4747	67	13	which	which	PRON
ejpam-4747	67	14	means	mean	VERB
ejpam-4747	67	15	,	,	PUNCT
ejpam-4747	67	16	for	for	ADP
ejpam-4747	67	17	any	any	DET
ejpam-4747	67	18	l	l	NOUN
ejpam-4747	67	19	>	>	X
ejpam-4747	67	20	0	0	PROPN
ejpam-4747	67	21	,	,	PUNCT
ejpam-4747	67	22	∃m	∃m	X
ejpam-4747	67	23	>	>	X
ejpam-4747	67	24	0	0	PROPN
ejpam-4747	67	25	,	,	PUNCT
ejpam-4747	67	26	where	where	SCONJ
ejpam-4747	67	27	κ	κ	NOUN
ejpam-4747	67	28	,	,	PUNCT
ejpam-4747	67	29	l	l	PROPN
ejpam-4747	67	30	and	and	CCONJ
ejpam-4747	67	31	m	m	PROPN
ejpam-4747	67	32	are	be	AUX
ejpam-4747	67	33	constants	constant	NOUN
ejpam-4747	67	34	,	,	PUNCT
ejpam-4747	68	1	such	such	ADJ
ejpam-4747	68	2	that	that	SCONJ
ejpam-4747	68	3	:	:	PUNCT
ejpam-4747	68	4	|f	|f	PROPN
ejpam-4747	68	5	(	(	PUNCT
ejpam-4747	68	6	t)|	t)|	NOUN
ejpam-4747	68	7	≤m	≤m	NOUN
ejpam-4747	68	8	eκt	eκt	NOUN
ejpam-4747	68	9	,	,	PUNCT
ejpam-4747	68	10	t	t	PROPN
ejpam-4747	68	11	>	>	X
ejpam-4747	68	12	l.	l.	PROPN
ejpam-4747	68	13	(	(	PUNCT
ejpam-4747	68	14	4	4	NUM
ejpam-4747	68	15	)	)	PUNCT
ejpam-4747	68	16	3	3	NUM
ejpam-4747	68	17	.	.	NOUN
ejpam-4747	68	18	results	result	NOUN
ejpam-4747	68	19	of	of	ADP
ejpam-4747	68	20	the	the	DET
ejpam-4747	68	21	preliminary	preliminary	ADJ
ejpam-4747	68	22	study	study	NOUN
ejpam-4747	68	23	in	in	ADP
ejpam-4747	68	24	this	this	DET
ejpam-4747	68	25	section	section	NOUN
ejpam-4747	68	26	,	,	PUNCT
ejpam-4747	68	27	we	we	PRON
ejpam-4747	68	28	will	will	AUX
ejpam-4747	68	29	establish	establish	VERB
ejpam-4747	68	30	the	the	DET
ejpam-4747	68	31	theorems	theorem	NOUN
ejpam-4747	68	32	needed	need	VERB
ejpam-4747	68	33	that	that	PRON
ejpam-4747	68	34	can	can	AUX
ejpam-4747	68	35	be	be	AUX
ejpam-4747	68	36	used	use	VERB
ejpam-4747	68	37	to	to	PART
ejpam-4747	68	38	demonstrate	demonstrate	VERB
ejpam-4747	68	39	the	the	DET
ejpam-4747	68	40	gn	gn	PROPN
ejpam-4747	68	41	of	of	ADP
ejpam-4747	68	42	integral	integral	ADJ
ejpam-4747	68	43	transforms	transform	NOUN
ejpam-4747	68	44	for	for	ADP
ejpam-4747	68	45	solving	solve	VERB
ejpam-4747	68	46	pdes	pde	NOUN
ejpam-4747	68	47	.	.	PUNCT
ejpam-4747	69	1	theorem	theorem	NOUN
ejpam-4747	69	2	1	1	NUM
ejpam-4747	69	3	.	.	PUNCT
ejpam-4747	70	1	using	use	VERB
ejpam-4747	70	2	the	the	DET
ejpam-4747	70	3	gn	gn	PROPN
ejpam-4747	70	4	of	of	ADP
ejpam-4747	70	5	integral	integral	ADJ
ejpam-4747	70	6	transforms	transform	NOUN
ejpam-4747	70	7	in	in	ADP
ejpam-4747	70	8	the	the	DET
ejpam-4747	70	9	definition	definition	NOUN
ejpam-4747	70	10	1	1	NUM
ejpam-4747	70	11	,	,	PUNCT
ejpam-4747	70	12	we	we	PRON
ejpam-4747	70	13	can	can	AUX
ejpam-4747	70	14	get	get	VERB
ejpam-4747	70	15	the	the	DET
ejpam-4747	70	16	generalized	generalize	VERB
ejpam-4747	70	17	transforms	transform	NOUN
ejpam-4747	70	18	for	for	ADP
ejpam-4747	70	19	bellow	bellow	ADJ
ejpam-4747	70	20	functions	function	NOUN
ejpam-4747	70	21	:	:	PUNCT
ejpam-4747	70	22	(	(	PUNCT
ejpam-4747	70	23	1.a	1.a	NUM
ejpam-4747	70	24	)	)	PUNCT
ejpam-4747	71	1	when	when	SCONJ
ejpam-4747	71	2	f	f	PROPN
ejpam-4747	71	3	(	(	PUNCT
ejpam-4747	71	4	t	t	PROPN
ejpam-4747	71	5	)	)	PUNCT
ejpam-4747	71	6	=	=	SYM
ejpam-4747	72	1	1	1	NUM
ejpam-4747	72	2	,	,	PUNCT
ejpam-4747	72	3	then	then	ADV
ejpam-4747	72	4	gn	gn	PROPN
ejpam-4747	73	1	[	[	X
ejpam-4747	73	2	1	1	NUM
ejpam-4747	73	3	]	]	X
ejpam-4747	73	4	=	=	NOUN
ejpam-4747	73	5	h(ϑ	h(ϑ	PROPN
ejpam-4747	73	6	)	)	PUNCT
ejpam-4747	73	7	∫	∫	PROPN
ejpam-4747	74	1	∞	∞	PROPN
ejpam-4747	74	2	0	0	NUM
ejpam-4747	74	3	e−σ(ϑ)tt	e−σ(ϑ)tt	PROPN
ejpam-4747	74	4	,	,	PUNCT
ejpam-4747	74	5	=	=	SYM
ejpam-4747	74	6	−h(ϑ	−h(ϑ	ADJ
ejpam-4747	74	7	)	)	PUNCT
ejpam-4747	74	8	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	74	9	)	)	PUNCT
ejpam-4747	74	10	e−σ(ϑ)t	e−σ(ϑ)t	PROPN
ejpam-4747	74	11	∣∣∣∣∞	∣∣∣∣∞	NUM
ejpam-4747	74	12	0	0	NUM
ejpam-4747	74	13	=	=	SYM
ejpam-4747	74	14	h(ϑ	h(ϑ	PROPN
ejpam-4747	74	15	)	)	PUNCT
ejpam-4747	74	16	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	74	17	)	)	PUNCT
ejpam-4747	74	18	.	.	PUNCT
ejpam-4747	75	1	(	(	PUNCT
ejpam-4747	75	2	5	5	X
ejpam-4747	75	3	)	)	PUNCT
ejpam-4747	75	4	j.i	j.i	PROPN
ejpam-4747	75	5	.	.	PROPN
ejpam-4747	75	6	mustafa	mustafa	PROPN
ejpam-4747	75	7	/	/	SYM
ejpam-4747	75	8	eur	eur	PROPN
ejpam-4747	75	9	.	.	PUNCT
ejpam-4747	76	1	j.	j.	PROPN
ejpam-4747	76	2	pure	pure	PROPN
ejpam-4747	76	3	appl	appl	PROPN
ejpam-4747	76	4	.	.	PROPN
ejpam-4747	76	5	math	math	PROPN
ejpam-4747	76	6	,	,	PUNCT
ejpam-4747	76	7	16	16	NUM
ejpam-4747	76	8	(	(	PUNCT
ejpam-4747	76	9	2	2	NUM
ejpam-4747	76	10	)	)	PUNCT
ejpam-4747	76	11	(	(	PUNCT
ejpam-4747	76	12	2023	2023	NUM
ejpam-4747	76	13	)	)	PUNCT
ejpam-4747	76	14	,	,	PUNCT
ejpam-4747	76	15	1024	1024	NUM
ejpam-4747	76	16	-	-	SYM
ejpam-4747	76	17	1046	1046	NUM
ejpam-4747	76	18	1027	1027	NUM
ejpam-4747	76	19	(	(	PUNCT
ejpam-4747	76	20	1.b	1.b	NUM
ejpam-4747	76	21	)	)	PUNCT
ejpam-4747	77	1	when	when	SCONJ
ejpam-4747	77	2	f	f	PROPN
ejpam-4747	77	3	(	(	PUNCT
ejpam-4747	77	4	t	t	PROPN
ejpam-4747	77	5	)	)	PUNCT
ejpam-4747	77	6	=	=	SYM
ejpam-4747	77	7	t	t	PROPN
ejpam-4747	77	8	,	,	PUNCT
ejpam-4747	77	9	then	then	ADV
ejpam-4747	77	10	gn	gn	PROPN
ejpam-4747	78	1	[	[	X
ejpam-4747	78	2	t	t	X
ejpam-4747	78	3	]	]	X
ejpam-4747	78	4	=	=	SYM
ejpam-4747	78	5	h(ϑ	h(ϑ	PROPN
ejpam-4747	78	6	)	)	PUNCT
ejpam-4747	78	7	∫	∫	PROPN
ejpam-4747	79	1	∞	∞	PROPN
ejpam-4747	79	2	0	0	NUM
ejpam-4747	80	1	ψ(ϑ)t	ψ(ϑ)t	PROPN
ejpam-4747	80	2	e−σ(ϑ)tt	e−σ(ϑ)tt	PROPN
ejpam-4747	80	3	,	,	PUNCT
ejpam-4747	80	4	by	by	ADP
ejpam-4747	80	5	integrating	integrate	VERB
ejpam-4747	80	6	by	by	ADP
ejpam-4747	80	7	parts	part	NOUN
ejpam-4747	80	8	,	,	PUNCT
ejpam-4747	80	9	we	we	PRON
ejpam-4747	80	10	obtain	obtain	VERB
ejpam-4747	80	11	gn	gn	PROPN
ejpam-4747	81	1	[	[	X
ejpam-4747	81	2	t	t	X
ejpam-4747	81	3	]	]	X
ejpam-4747	81	4	=	=	SYM
ejpam-4747	81	5	h(ϑ)ψ(ϑ	h(ϑ)ψ(ϑ	X
ejpam-4747	81	6	)	)	PUNCT
ejpam-4747	81	7	σ2(ϑ	σ2(ϑ	NOUN
ejpam-4747	81	8	)	)	PUNCT
ejpam-4747	81	9	.	.	PUNCT
ejpam-4747	82	1	(	(	PUNCT
ejpam-4747	82	2	6	6	NUM
ejpam-4747	82	3	)	)	PUNCT
ejpam-4747	82	4	(	(	PUNCT
ejpam-4747	82	5	1.c	1.c	NUM
ejpam-4747	82	6	)	)	PUNCT
ejpam-4747	82	7	when	when	SCONJ
ejpam-4747	82	8	f	f	PROPN
ejpam-4747	82	9	(	(	PUNCT
ejpam-4747	82	10	t	t	PROPN
ejpam-4747	82	11	)	)	PUNCT
ejpam-4747	82	12	=	=	SYM
ejpam-4747	82	13	tn	tn	PROPN
ejpam-4747	82	14	,	,	PUNCT
ejpam-4747	82	15	then	then	ADV
ejpam-4747	82	16	gn	gn	PROPN
ejpam-4747	83	1	[	[	X
ejpam-4747	83	2	tn	tn	X
ejpam-4747	83	3	]	]	X
ejpam-4747	83	4	=	=	SYM
ejpam-4747	83	5	n	n	X
ejpam-4747	83	6	!	!	PUNCT
ejpam-4747	83	7	h(ϑ)ψn(ϑ	h(ϑ)ψn(ϑ	X
ejpam-4747	83	8	)	)	PUNCT
ejpam-4747	83	9	σn+1(ϑ	σn+1(ϑ	PROPN
ejpam-4747	83	10	)	)	PUNCT
ejpam-4747	83	11	.	.	PUNCT
ejpam-4747	84	1	(	(	PUNCT
ejpam-4747	84	2	7	7	X
ejpam-4747	84	3	)	)	PUNCT
ejpam-4747	84	4	(	(	PUNCT
ejpam-4747	84	5	1.d	1.d	NUM
ejpam-4747	84	6	)	)	PUNCT
ejpam-4747	84	7	when	when	SCONJ
ejpam-4747	84	8	f	f	PROPN
ejpam-4747	84	9	(	(	PUNCT
ejpam-4747	84	10	t	t	PROPN
ejpam-4747	84	11	)	)	PUNCT
ejpam-4747	84	12	=	=	SYM
ejpam-4747	84	13	sin(t	sin(t	PROPN
ejpam-4747	84	14	)	)	PUNCT
ejpam-4747	84	15	,	,	PUNCT
ejpam-4747	84	16	then	then	ADV
ejpam-4747	84	17	gn	gn	PROPN
ejpam-4747	85	1	[	[	X
ejpam-4747	85	2	sin(t	sin(t	PROPN
ejpam-4747	85	3	)	)	PUNCT
ejpam-4747	85	4	]	]	PUNCT
ejpam-4747	86	1	=	=	PUNCT
ejpam-4747	86	2	h(ϑ	h(ϑ	PROPN
ejpam-4747	86	3	)	)	PUNCT
ejpam-4747	86	4	∫	∫	PROPN
ejpam-4747	87	1	∞	∞	PROPN
ejpam-4747	87	2	0	0	NUM
ejpam-4747	88	1	sin(ψ(ϑ)t)e−σ(ϑ)tt	sin(ψ(ϑ)t)e−σ(ϑ)tt	NOUN
ejpam-4747	88	2	,	,	PUNCT
ejpam-4747	88	3	using	use	VERB
ejpam-4747	88	4	integrating	integrating	NOUN
ejpam-4747	88	5	by	by	ADP
ejpam-4747	88	6	part	part	NOUN
ejpam-4747	88	7	twice	twice	ADV
ejpam-4747	88	8	,	,	PUNCT
ejpam-4747	88	9	we	we	PRON
ejpam-4747	88	10	obtain	obtain	VERB
ejpam-4747	88	11	:	:	PUNCT
ejpam-4747	88	12	gn	gn	PROPN
ejpam-4747	89	1	[	[	X
ejpam-4747	89	2	sin(t	sin(t	PROPN
ejpam-4747	89	3	)	)	PUNCT
ejpam-4747	89	4	]	]	PUNCT
ejpam-4747	90	1	=	=	SYM
ejpam-4747	90	2	h(ϑ)ψ(ϑ	h(ϑ)ψ(ϑ	X
ejpam-4747	90	3	)	)	PUNCT
ejpam-4747	90	4	σ2(ϑ	σ2(ϑ	NOUN
ejpam-4747	90	5	)	)	PUNCT
ejpam-4747	90	6	+	+	NOUN
ejpam-4747	90	7	ψ2(ϑ	ψ2(ϑ	NUM
ejpam-4747	90	8	)	)	PUNCT
ejpam-4747	90	9	,	,	PUNCT
ejpam-4747	90	10	(	(	PUNCT
ejpam-4747	90	11	8)	8)	NUM
ejpam-4747	90	12	(	(	PUNCT
ejpam-4747	90	13	1.e	1.e	NUM
ejpam-4747	90	14	)	)	PUNCT
ejpam-4747	90	15	when	when	SCONJ
ejpam-4747	90	16	f	f	PROPN
ejpam-4747	90	17	(	(	PUNCT
ejpam-4747	90	18	t	t	PROPN
ejpam-4747	90	19	)	)	PUNCT
ejpam-4747	90	20	=	=	SYM
ejpam-4747	90	21	et	et	NOUN
ejpam-4747	90	22	,	,	PUNCT
ejpam-4747	90	23	then	then	ADV
ejpam-4747	90	24	gn	gn	PROPN
ejpam-4747	91	1	[	[	X
ejpam-4747	91	2	et	et	X
ejpam-4747	91	3	]	]	X
ejpam-4747	91	4	=	=	SYM
ejpam-4747	91	5	h(ϑ	h(ϑ	PROPN
ejpam-4747	91	6	)	)	PUNCT
ejpam-4747	91	7	σ(ϑ)−	σ(ϑ)−	PROPN
ejpam-4747	91	8	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	91	9	)	)	PUNCT
ejpam-4747	91	10	.	.	PUNCT
ejpam-4747	92	1	(	(	PUNCT
ejpam-4747	92	2	9	9	X
ejpam-4747	92	3	)	)	PUNCT
ejpam-4747	92	4	theorem	theorem	NOUN
ejpam-4747	92	5	2	2	NUM
ejpam-4747	92	6	.	.	PUNCT
ejpam-4747	92	7	suppose	suppose	VERB
ejpam-4747	92	8	f	f	PROPN
ejpam-4747	92	9	(	(	PUNCT
ejpam-4747	92	10	t	t	PROPN
ejpam-4747	92	11	)	)	PUNCT
ejpam-4747	92	12	is	be	AUX
ejpam-4747	92	13	differentiable	differentiable	ADJ
ejpam-4747	92	14	,	,	PUNCT
ejpam-4747	92	15	if	if	SCONJ
ejpam-4747	92	16	f	f	PROPN
ejpam-4747	92	17	(	(	PUNCT
ejpam-4747	92	18	t	t	PROPN
ejpam-4747	92	19	)	)	PUNCT
ejpam-4747	92	20	and	and	CCONJ
ejpam-4747	92	21	it	it	PRON
ejpam-4747	92	22	’s	’	VERB
ejpam-4747	92	23	derivatives	derivative	NOUN
ejpam-4747	92	24	(	(	PUNCT
ejpam-4747	92	25	f	f	NOUN
ejpam-4747	92	26	′(t	′(t	PROPN
ejpam-4747	92	27	)	)	PUNCT
ejpam-4747	92	28	,	,	PUNCT
ejpam-4747	92	29	f	f	PROPN
ejpam-4747	92	30	′′(t	′′(t	PROPN
ejpam-4747	92	31	)	)	PUNCT
ejpam-4747	92	32	,	,	PUNCT
ejpam-4747	92	33	.	.	PUNCT
ejpam-4747	92	34	.	.	PUNCT
ejpam-4747	93	1	.	.	PUNCT
ejpam-4747	94	1	,	,	PUNCT
ejpam-4747	94	2	f	f	PROPN
ejpam-4747	94	3	(	(	PUNCT
ejpam-4747	94	4	n−1)(t	n−1)(t	PROPN
ejpam-4747	94	5	)	)	PUNCT
ejpam-4747	94	6	)	)	PUNCT
ejpam-4747	94	7	are	be	AUX
ejpam-4747	94	8	of	of	ADP
ejpam-4747	94	9	exponential	exponential	ADJ
ejpam-4747	94	10	order	order	NOUN
ejpam-4747	94	11	κ	κ	NOUN
ejpam-4747	94	12	and	and	CCONJ
ejpam-4747	94	13	are	be	AUX
ejpam-4747	94	14	piecewise	piecewise	NOUN
ejpam-4747	94	15	continuous	continuous	ADJ
ejpam-4747	94	16	on	on	ADP
ejpam-4747	94	17	[	[	X
ejpam-4747	94	18	0,∞	0,∞	NOUN
ejpam-4747	94	19	)	)	PUNCT
ejpam-4747	94	20	and	and	CCONJ
ejpam-4747	94	21	the	the	DET
ejpam-4747	94	22	nth	nth	NOUN
ejpam-4747	94	23	derivative	derivative	ADJ
ejpam-4747	94	24	f	f	X
ejpam-4747	94	25	(	(	PUNCT
ejpam-4747	94	26	n)(t	n)(t	PROPN
ejpam-4747	94	27	)	)	PUNCT
ejpam-4747	94	28	is	be	AUX
ejpam-4747	94	29	a	a	DET
ejpam-4747	94	30	piecewise	piecewise	NOUN
ejpam-4747	94	31	continuous	continuous	ADJ
ejpam-4747	94	32	on	on	ADP
ejpam-4747	94	33	[	[	X
ejpam-4747	94	34	0,∞	0,∞	NOUN
ejpam-4747	94	35	)	)	PUNCT
ejpam-4747	94	36	,	,	PUNCT
ejpam-4747	94	37	then	then	ADV
ejpam-4747	94	38	,	,	PUNCT
ejpam-4747	94	39	(	(	PUNCT
ejpam-4747	94	40	2.a	2.a	NUM
ejpam-4747	94	41	)	)	PUNCT
ejpam-4747	94	42	gn	gn	PROPN
ejpam-4747	95	1	[	[	X
ejpam-4747	95	2	f	f	PROPN
ejpam-4747	95	3	′(t	′(t	PROPN
ejpam-4747	95	4	)	)	PUNCT
ejpam-4747	95	5	]	]	PUNCT
ejpam-4747	96	1	=	=	PUNCT
ejpam-4747	96	2	−	−	PROPN
ejpam-4747	96	3	h(ϑ	h(ϑ	PROPN
ejpam-4747	96	4	)	)	PUNCT
ejpam-4747	96	5	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	96	6	)	)	PUNCT
ejpam-4747	96	7	f	f	PROPN
ejpam-4747	96	8	(	(	PUNCT
ejpam-4747	96	9	0	0	NUM
ejpam-4747	96	10	)	)	PUNCT
ejpam-4747	96	11	+	+	CCONJ
ejpam-4747	96	12	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	96	13	)	)	PUNCT
ejpam-4747	96	14	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	96	15	)	)	PUNCT
ejpam-4747	96	16	gn	gn	PROPN
ejpam-4747	97	1	[	[	X
ejpam-4747	97	2	f	f	X
ejpam-4747	97	3	(	(	PUNCT
ejpam-4747	97	4	t	t	PROPN
ejpam-4747	97	5	)	)	PUNCT
ejpam-4747	97	6	]	]	PUNCT
ejpam-4747	97	7	,	,	PUNCT
ejpam-4747	97	8	(	(	PUNCT
ejpam-4747	97	9	10	10	NUM
ejpam-4747	97	10	)	)	PUNCT
ejpam-4747	97	11	and	and	CCONJ
ejpam-4747	97	12	,	,	PUNCT
ejpam-4747	97	13	(	(	PUNCT
ejpam-4747	97	14	2.b	2.b	NUM
ejpam-4747	97	15	)	)	PUNCT
ejpam-4747	97	16	gn	gn	PROPN
ejpam-4747	98	1	[	[	X
ejpam-4747	98	2	f	f	X
ejpam-4747	98	3	′′(t	′′(t	PROPN
ejpam-4747	98	4	)	)	PUNCT
ejpam-4747	98	5	]	]	PUNCT
ejpam-4747	99	1	=	=	PUNCT
ejpam-4747	99	2	−	−	PROPN
ejpam-4747	99	3	h(ϑ	h(ϑ	PROPN
ejpam-4747	99	4	)	)	PUNCT
ejpam-4747	99	5	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	99	6	)	)	PUNCT
ejpam-4747	100	1	f	f	PROPN
ejpam-4747	101	1	′(0)−	′(0)−	NOUN
ejpam-4747	101	2	h(ϑ)σ(ϑ	h(ϑ)σ(ϑ	NOUN
ejpam-4747	101	3	)	)	PUNCT
ejpam-4747	101	4	ψ2(ϑ	ψ2(ϑ	NOUN
ejpam-4747	101	5	)	)	PUNCT
ejpam-4747	101	6	f	f	NOUN
ejpam-4747	101	7	(	(	PUNCT
ejpam-4747	101	8	0	0	NUM
ejpam-4747	101	9	)	)	PUNCT
ejpam-4747	101	10	+	+	CCONJ
ejpam-4747	101	11	σ2(ϑ	σ2(ϑ	X
ejpam-4747	101	12	)	)	PUNCT
ejpam-4747	101	13	ψ2(ϑ	ψ2(ϑ	NOUN
ejpam-4747	101	14	)	)	PUNCT
ejpam-4747	101	15	gn	gn	NOUN
ejpam-4747	102	1	[	[	X
ejpam-4747	102	2	f	f	X
ejpam-4747	102	3	(	(	PUNCT
ejpam-4747	102	4	t	t	PROPN
ejpam-4747	102	5	)	)	PUNCT
ejpam-4747	102	6	]	]	PUNCT
ejpam-4747	102	7	,	,	PUNCT
ejpam-4747	102	8	(	(	PUNCT
ejpam-4747	102	9	11	11	NUM
ejpam-4747	102	10	)	)	PUNCT
ejpam-4747	102	11	then	then	ADV
ejpam-4747	102	12	,	,	PUNCT
ejpam-4747	102	13	in	in	ADP
ejpam-4747	102	14	general	general	ADJ
ejpam-4747	102	15	,	,	PUNCT
ejpam-4747	102	16	j.i	j.i	PROPN
ejpam-4747	102	17	.	.	PROPN
ejpam-4747	102	18	mustafa	mustafa	PROPN
ejpam-4747	102	19	/	/	SYM
ejpam-4747	102	20	eur	eur	PROPN
ejpam-4747	102	21	.	.	PUNCT
ejpam-4747	103	1	j.	j.	PROPN
ejpam-4747	103	2	pure	pure	PROPN
ejpam-4747	103	3	appl	appl	PROPN
ejpam-4747	103	4	.	.	PROPN
ejpam-4747	103	5	math	math	PROPN
ejpam-4747	103	6	,	,	PUNCT
ejpam-4747	103	7	16	16	NUM
ejpam-4747	103	8	(	(	PUNCT
ejpam-4747	103	9	2	2	NUM
ejpam-4747	103	10	)	)	PUNCT
ejpam-4747	103	11	(	(	PUNCT
ejpam-4747	103	12	2023	2023	NUM
ejpam-4747	103	13	)	)	PUNCT
ejpam-4747	103	14	,	,	PUNCT
ejpam-4747	103	15	1024	1024	NUM
ejpam-4747	103	16	-	-	SYM
ejpam-4747	103	17	1046	1046	NUM
ejpam-4747	103	18	1028	1028	NUM
ejpam-4747	103	19	(	(	PUNCT
ejpam-4747	103	20	2.c	2.c	NUM
ejpam-4747	103	21	)	)	PUNCT
ejpam-4747	103	22	gn	gn	PROPN
ejpam-4747	104	1	[	[	X
ejpam-4747	104	2	fn(t	fn(t	NUM
ejpam-4747	104	3	)	)	PUNCT
ejpam-4747	104	4	]	]	PUNCT
ejpam-4747	104	5	=	=	SYM
ejpam-4747	104	6	σn(ϑ	σn(ϑ	X
ejpam-4747	104	7	)	)	PUNCT
ejpam-4747	104	8	ψn(ϑ	ψn(ϑ	NUM
ejpam-4747	104	9	)	)	PUNCT
ejpam-4747	104	10	gn	gn	PROPN
ejpam-4747	105	1	[	[	X
ejpam-4747	105	2	f	f	X
ejpam-4747	105	3	(	(	PUNCT
ejpam-4747	105	4	t)]−	t)]−	NUM
ejpam-4747	105	5	n−1∑	n−1∑	PROPN
ejpam-4747	105	6	k=0	k=0	PROPN
ejpam-4747	105	7	h(ϑ	h(ϑ	PROPN
ejpam-4747	105	8	)	)	PUNCT
ejpam-4747	105	9	σn−k−1(ϑ	σn−k−1(ϑ	PROPN
ejpam-4747	105	10	)	)	PUNCT
ejpam-4747	105	11	ψn−k(ϑ	ψn−k(ϑ	NOUN
ejpam-4747	105	12	)	)	PUNCT
ejpam-4747	105	13	f	f	PROPN
ejpam-4747	105	14	(	(	PUNCT
ejpam-4747	105	15	k)(0	k)(0	PROPN
ejpam-4747	105	16	)	)	PUNCT
ejpam-4747	105	17	.	.	PUNCT
ejpam-4747	106	1	(	(	PUNCT
ejpam-4747	106	2	12	12	NUM
ejpam-4747	106	3	)	)	PUNCT
ejpam-4747	106	4	proof	proof	NOUN
ejpam-4747	106	5	.	.	PUNCT
ejpam-4747	107	1	(	(	PUNCT
ejpam-4747	107	2	2.a	2.a	NUM
ejpam-4747	107	3	)	)	PUNCT
ejpam-4747	107	4	to	to	PART
ejpam-4747	107	5	find	find	VERB
ejpam-4747	107	6	gn	gn	PROPN
ejpam-4747	108	1	[	[	X
ejpam-4747	108	2	f	f	PROPN
ejpam-4747	108	3	′(t	′(t	PROPN
ejpam-4747	108	4	)	)	PUNCT
ejpam-4747	108	5	]	]	PUNCT
ejpam-4747	108	6	,	,	PUNCT
ejpam-4747	108	7	we	we	PRON
ejpam-4747	108	8	can	can	AUX
ejpam-4747	108	9	integrate	integrate	VERB
ejpam-4747	108	10	as	as	SCONJ
ejpam-4747	108	11	follows	follow	VERB
ejpam-4747	108	12	:	:	PUNCT
ejpam-4747	109	1	gn	gn	PROPN
ejpam-4747	110	1	[	[	X
ejpam-4747	110	2	f	f	PROPN
ejpam-4747	110	3	′(t	′(t	PROPN
ejpam-4747	110	4	)	)	PUNCT
ejpam-4747	110	5	]	]	PUNCT
ejpam-4747	111	1	=	=	PUNCT
ejpam-4747	111	2	h(ϑ	h(ϑ	PROPN
ejpam-4747	111	3	)	)	PUNCT
ejpam-4747	111	4	∫	∫	PROPN
ejpam-4747	112	1	∞	∞	PROPN
ejpam-4747	112	2	0	0	NUM
ejpam-4747	112	3	f	f	PROPN
ejpam-4747	112	4	′(ψ(ϑ)t	′(ψ(ϑ)t	NOUN
ejpam-4747	112	5	)	)	PUNCT
ejpam-4747	112	6	e−σ(ϑ)tt	e−σ(ϑ)tt	NOUN
ejpam-4747	112	7	.	.	PUNCT
ejpam-4747	113	1	using	use	VERB
ejpam-4747	113	2	integrating	integrating	NOUN
ejpam-4747	113	3	by	by	ADP
ejpam-4747	113	4	part	part	NOUN
ejpam-4747	113	5	,	,	PUNCT
ejpam-4747	113	6	we	we	PRON
ejpam-4747	113	7	get	get	VERB
ejpam-4747	113	8	,	,	PUNCT
ejpam-4747	113	9	gn	gn	PROPN
ejpam-4747	114	1	[	[	X
ejpam-4747	114	2	f	f	PROPN
ejpam-4747	114	3	′(t	′(t	PROPN
ejpam-4747	114	4	)	)	PUNCT
ejpam-4747	114	5	]	]	PUNCT
ejpam-4747	115	1	=	=	X
ejpam-4747	115	2	h(ϑ	h(ϑ	PROPN
ejpam-4747	115	3	)	)	PUNCT
ejpam-4747	115	4	[	[	PUNCT
ejpam-4747	115	5	1	1	NUM
ejpam-4747	115	6	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	115	7	)	)	PUNCT
ejpam-4747	115	8	e−σ(ϑ)t	e−σ(ϑ)t	PROPN
ejpam-4747	115	9	f	f	X
ejpam-4747	115	10	(	(	PUNCT
ejpam-4747	115	11	ψ(ϑ)t	ψ(ϑ)t	PROPN
ejpam-4747	115	12	)	)	PUNCT
ejpam-4747	115	13	∣∣∣∣∞	∣∣∣∣∞	PROPN
ejpam-4747	115	14	0	0	NUM
ejpam-4747	115	15	−	−	NOUN
ejpam-4747	115	16	∫	∫	PROPN
ejpam-4747	115	17	∞	∞	NOUN
ejpam-4747	115	18	0	0	NUM
ejpam-4747	116	1	−σ(ϑ	−σ(ϑ	ADJ
ejpam-4747	116	2	)	)	PUNCT
ejpam-4747	116	3	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	116	4	)	)	PUNCT
ejpam-4747	116	5	e−σ(ϑ)t	e−σ(ϑ)t	PROPN
ejpam-4747	116	6	f	f	NOUN
ejpam-4747	116	7	(	(	PUNCT
ejpam-4747	116	8	ψ(ϑ)t)t	ψ(ϑ)t)t	PUNCT
ejpam-4747	116	9	]	]	X
ejpam-4747	116	10	=	=	SYM
ejpam-4747	116	11	−h(ϑ	−h(ϑ	PROPN
ejpam-4747	116	12	)	)	PUNCT
ejpam-4747	116	13	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	116	14	)	)	PUNCT
ejpam-4747	116	15	f	f	PROPN
ejpam-4747	116	16	(	(	PUNCT
ejpam-4747	116	17	0	0	NUM
ejpam-4747	116	18	)	)	PUNCT
ejpam-4747	116	19	+	+	CCONJ
ejpam-4747	116	20	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	116	21	)	)	PUNCT
ejpam-4747	116	22	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	116	23	)	)	PUNCT
ejpam-4747	116	24	gn	gn	PROPN
ejpam-4747	117	1	[	[	X
ejpam-4747	117	2	f	f	X
ejpam-4747	117	3	(	(	PUNCT
ejpam-4747	117	4	t	t	PROPN
ejpam-4747	117	5	)	)	PUNCT
ejpam-4747	117	6	]	]	PUNCT
ejpam-4747	117	7	.	.	PUNCT
ejpam-4747	118	1	(	(	PUNCT
ejpam-4747	118	2	13	13	NUM
ejpam-4747	118	3	)	)	PUNCT
ejpam-4747	118	4	proof	proof	NOUN
ejpam-4747	118	5	.	.	PUNCT
ejpam-4747	119	1	(	(	PUNCT
ejpam-4747	119	2	2.b	2.b	NUM
ejpam-4747	119	3	)	)	PUNCT
ejpam-4747	119	4	to	to	PART
ejpam-4747	119	5	find	find	VERB
ejpam-4747	119	6	gn	gn	PROPN
ejpam-4747	120	1	[	[	X
ejpam-4747	120	2	f	f	X
ejpam-4747	120	3	′′(t	′′(t	PROPN
ejpam-4747	120	4	)	)	PUNCT
ejpam-4747	120	5	]	]	X
ejpam-4747	120	6	:	:	PUNCT
ejpam-4747	120	7	let	let	VERB
ejpam-4747	120	8	f(t	f(t	NOUN
ejpam-4747	120	9	)	)	PUNCT
ejpam-4747	121	1	=	=	SYM
ejpam-4747	121	2	f	f	PROPN
ejpam-4747	121	3	′(t	′(t	PROPN
ejpam-4747	121	4	)	)	PUNCT
ejpam-4747	121	5	,	,	PUNCT
ejpam-4747	121	6	then	then	ADV
ejpam-4747	121	7	f	f	PROPN
ejpam-4747	121	8	′(t	′(t	PROPN
ejpam-4747	121	9	)	)	PUNCT
ejpam-4747	121	10	=	=	SYM
ejpam-4747	122	1	f	f	X
ejpam-4747	122	2	′′(t	′′(t	NOUN
ejpam-4747	122	3	)	)	PUNCT
ejpam-4747	122	4	.	.	PUNCT
ejpam-4747	123	1	since	since	SCONJ
ejpam-4747	123	2	we	we	PRON
ejpam-4747	123	3	know	know	VERB
ejpam-4747	123	4	,	,	PUNCT
ejpam-4747	123	5	gn	gn	PROPN
ejpam-4747	124	1	[	[	X
ejpam-4747	124	2	f	f	PROPN
ejpam-4747	124	3	′(t	′(t	PROPN
ejpam-4747	124	4	)	)	PUNCT
ejpam-4747	124	5	]	]	PUNCT
ejpam-4747	125	1	=	=	SYM
ejpam-4747	125	2	−h(ϑ	−h(ϑ	PROPN
ejpam-4747	125	3	)	)	PUNCT
ejpam-4747	125	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	125	5	)	)	PUNCT
ejpam-4747	125	6	f(0	f(0	NOUN
ejpam-4747	125	7	)	)	PUNCT
ejpam-4747	125	8	+	+	NUM
ejpam-4747	125	9	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	125	10	)	)	PUNCT
ejpam-4747	125	11	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	125	12	)	)	PUNCT
ejpam-4747	125	13	gn	gn	PROPN
ejpam-4747	126	1	[	[	X
ejpam-4747	126	2	f(t	f(t	PROPN
ejpam-4747	126	3	)	)	PUNCT
ejpam-4747	126	4	]	]	PUNCT
ejpam-4747	126	5	,	,	PUNCT
ejpam-4747	126	6	(	(	PUNCT
ejpam-4747	126	7	14	14	NUM
ejpam-4747	126	8	)	)	PUNCT
ejpam-4747	126	9	substitute	substitute	NOUN
ejpam-4747	126	10	f	f	PROPN
ejpam-4747	126	11	′(t	′(t	PROPN
ejpam-4747	126	12	)	)	PUNCT
ejpam-4747	126	13	=	=	SYM
ejpam-4747	126	14	f	f	X
ejpam-4747	126	15	′′(t	′′(t	PROPN
ejpam-4747	126	16	)	)	PUNCT
ejpam-4747	126	17	,	,	PUNCT
ejpam-4747	126	18	and	and	CCONJ
ejpam-4747	126	19	f(t	f(t	NOUN
ejpam-4747	126	20	)	)	PUNCT
ejpam-4747	126	21	=	=	SYM
ejpam-4747	126	22	f	f	PROPN
ejpam-4747	126	23	′(t	′(t	PROPN
ejpam-4747	126	24	)	)	PUNCT
ejpam-4747	126	25	in	in	ADP
ejpam-4747	126	26	(	(	PUNCT
ejpam-4747	126	27	14	14	NUM
ejpam-4747	126	28	)	)	PUNCT
ejpam-4747	126	29	,	,	PUNCT
ejpam-4747	126	30	we	we	PRON
ejpam-4747	126	31	have	have	VERB
ejpam-4747	126	32	gn	gn	PROPN
ejpam-4747	127	1	[	[	X
ejpam-4747	127	2	f	f	X
ejpam-4747	127	3	′′(t	′′(t	PROPN
ejpam-4747	127	4	)	)	PUNCT
ejpam-4747	127	5	]	]	PUNCT
ejpam-4747	128	1	=	=	SYM
ejpam-4747	128	2	−h(ϑ	−h(ϑ	PROPN
ejpam-4747	128	3	)	)	PUNCT
ejpam-4747	128	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	128	5	)	)	PUNCT
ejpam-4747	128	6	f	f	PROPN
ejpam-4747	128	7	′(0	′(0	PROPN
ejpam-4747	128	8	)	)	PUNCT
ejpam-4747	129	1	+	+	CCONJ
ejpam-4747	129	2	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	129	3	)	)	PUNCT
ejpam-4747	129	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	129	5	)	)	PUNCT
ejpam-4747	129	6	gn	gn	PROPN
ejpam-4747	130	1	[	[	X
ejpam-4747	130	2	f	f	PROPN
ejpam-4747	130	3	′(t	′(t	PROPN
ejpam-4747	130	4	)	)	PUNCT
ejpam-4747	130	5	]	]	PUNCT
ejpam-4747	130	6	.	.	PUNCT
ejpam-4747	131	1	using	use	VERB
ejpam-4747	131	2	the	the	DET
ejpam-4747	131	3	relation	relation	NOUN
ejpam-4747	131	4	(	(	PUNCT
ejpam-4747	131	5	2.a	2.a	NUM
ejpam-4747	131	6	)	)	PUNCT
ejpam-4747	131	7	,	,	PUNCT
ejpam-4747	131	8	we	we	PRON
ejpam-4747	131	9	get	get	VERB
ejpam-4747	131	10	,	,	PUNCT
ejpam-4747	131	11	gn	gn	PROPN
ejpam-4747	132	1	[	[	X
ejpam-4747	132	2	f	f	X
ejpam-4747	132	3	′′(t	′′(t	PROPN
ejpam-4747	132	4	)	)	PUNCT
ejpam-4747	132	5	]	]	PUNCT
ejpam-4747	133	1	=	=	SYM
ejpam-4747	133	2	−h(ϑ	−h(ϑ	PROPN
ejpam-4747	133	3	)	)	PUNCT
ejpam-4747	133	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	133	5	)	)	PUNCT
ejpam-4747	133	6	f	f	PROPN
ejpam-4747	133	7	′(0	′(0	PROPN
ejpam-4747	133	8	)	)	PUNCT
ejpam-4747	134	1	+	+	CCONJ
ejpam-4747	134	2	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	134	3	)	)	PUNCT
ejpam-4747	134	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	134	5	)	)	PUNCT
ejpam-4747	134	6	[	[	PUNCT
ejpam-4747	134	7	−h(ϑ	−h(ϑ	PROPN
ejpam-4747	134	8	)	)	PUNCT
ejpam-4747	134	9	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	134	10	)	)	PUNCT
ejpam-4747	134	11	(	(	PUNCT
ejpam-4747	134	12	ϑ	ϑ	X
ejpam-4747	134	13	)	)	PUNCT
ejpam-4747	134	14	f	f	NOUN
ejpam-4747	134	15	(	(	PUNCT
ejpam-4747	134	16	0	0	NUM
ejpam-4747	134	17	)	)	PUNCT
ejpam-4747	134	18	+	+	CCONJ
ejpam-4747	134	19	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	134	20	)	)	PUNCT
ejpam-4747	134	21	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	134	22	)	)	PUNCT
ejpam-4747	134	23	gn	gn	PROPN
ejpam-4747	135	1	[	[	X
ejpam-4747	135	2	f	f	X
ejpam-4747	135	3	(	(	PUNCT
ejpam-4747	135	4	t	t	PROPN
ejpam-4747	135	5	)	)	PUNCT
ejpam-4747	135	6	]	]	PUNCT
ejpam-4747	135	7	]	]	PUNCT
ejpam-4747	135	8	,	,	PUNCT
ejpam-4747	135	9	then	then	ADV
ejpam-4747	135	10	,	,	PUNCT
ejpam-4747	135	11	gn	gn	PROPN
ejpam-4747	136	1	[	[	X
ejpam-4747	136	2	f	f	X
ejpam-4747	136	3	′′(t	′′(t	PROPN
ejpam-4747	136	4	)	)	PUNCT
ejpam-4747	136	5	]	]	PUNCT
ejpam-4747	137	1	=	=	SYM
ejpam-4747	137	2	−h(ϑ	−h(ϑ	PROPN
ejpam-4747	137	3	)	)	PUNCT
ejpam-4747	137	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	137	5	)	)	PUNCT
ejpam-4747	138	1	f	f	PROPN
ejpam-4747	139	1	′(0)−	′(0)−	PROPN
ejpam-4747	139	2	h(ϑ	h(ϑ	PROPN
ejpam-4747	139	3	)	)	PUNCT
ejpam-4747	139	4	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	139	5	)	)	PUNCT
ejpam-4747	139	6	ψ2(ϑ	ψ2(ϑ	NUM
ejpam-4747	139	7	)	)	PUNCT
ejpam-4747	139	8	f	f	NOUN
ejpam-4747	139	9	(	(	PUNCT
ejpam-4747	139	10	0	0	NUM
ejpam-4747	139	11	)	)	PUNCT
ejpam-4747	139	12	+	+	CCONJ
ejpam-4747	139	13	σ2(ϑ	σ2(ϑ	X
ejpam-4747	139	14	)	)	PUNCT
ejpam-4747	139	15	ψ2(ϑ	ψ2(ϑ	NOUN
ejpam-4747	139	16	)	)	PUNCT
ejpam-4747	139	17	gn	gn	NOUN
ejpam-4747	140	1	[	[	X
ejpam-4747	140	2	f	f	X
ejpam-4747	140	3	(	(	PUNCT
ejpam-4747	140	4	t	t	PROPN
ejpam-4747	140	5	)	)	PUNCT
ejpam-4747	140	6	]	]	PUNCT
ejpam-4747	140	7	.	.	PUNCT
ejpam-4747	141	1	(	(	PUNCT
ejpam-4747	141	2	15	15	X
ejpam-4747	141	3	)	)	PUNCT
ejpam-4747	141	4	it	it	PRON
ejpam-4747	141	5	is	be	AUX
ejpam-4747	141	6	also	also	ADV
ejpam-4747	141	7	possible	possible	ADJ
ejpam-4747	141	8	to	to	PART
ejpam-4747	141	9	prove	prove	VERB
ejpam-4747	141	10	the	the	DET
ejpam-4747	141	11	general	general	ADJ
ejpam-4747	141	12	form	form	NOUN
ejpam-4747	141	13	(	(	PUNCT
ejpam-4747	141	14	2.c	2.c	NUM
ejpam-4747	141	15	)	)	PUNCT
ejpam-4747	141	16	in	in	ADP
ejpam-4747	141	17	(	(	PUNCT
ejpam-4747	141	18	12	12	NUM
ejpam-4747	141	19	)	)	PUNCT
ejpam-4747	141	20	in	in	ADP
ejpam-4747	141	21	a	a	DET
ejpam-4747	141	22	similar	similar	ADJ
ejpam-4747	141	23	way	way	NOUN
ejpam-4747	141	24	.	.	PUNCT
ejpam-4747	142	1	theorem	theorem	NOUN
ejpam-4747	142	2	3	3	X
ejpam-4747	142	3	.	.	PUNCT
ejpam-4747	142	4	suppose	suppose	VERB
ejpam-4747	142	5	that	that	SCONJ
ejpam-4747	142	6	h(ϑ	h(ϑ	PROPN
ejpam-4747	142	7	)	)	PUNCT
ejpam-4747	142	8	and	and	CCONJ
ejpam-4747	142	9	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	142	10	)	)	PUNCT
ejpam-4747	142	11	are	be	AUX
ejpam-4747	142	12	differentiable	differentiable	ADJ
ejpam-4747	142	13	and	and	CCONJ
ejpam-4747	142	14	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	142	15	)	)	PUNCT
ejpam-4747	142	16	̸=	̸=	PROPN
ejpam-4747	142	17	0	0	NUM
ejpam-4747	142	18	,	,	PUNCT
ejpam-4747	142	19	then	then	ADV
ejpam-4747	142	20	,	,	PUNCT
ejpam-4747	142	21	(	(	PUNCT
ejpam-4747	142	22	3.a	3.a	NUM
ejpam-4747	142	23	)	)	PUNCT
ejpam-4747	142	24	gn	gn	PROPN
ejpam-4747	143	1	[	[	X
ejpam-4747	143	2	t	t	X
ejpam-4747	143	3	f	f	X
ejpam-4747	143	4	(	(	PUNCT
ejpam-4747	143	5	t	t	PROPN
ejpam-4747	143	6	)	)	PUNCT
ejpam-4747	143	7	]	]	PUNCT
ejpam-4747	144	1	=	=	PUNCT
ejpam-4747	144	2	−	−	PROPN
ejpam-4747	144	3	h(ϑ	h(ϑ	PROPN
ejpam-4747	144	4	)	)	PUNCT
ejpam-4747	144	5	σ′(ϑ	σ′(ϑ	X
ejpam-4747	144	6	)	)	PUNCT
ejpam-4747	144	7	(	(	PUNCT
ejpam-4747	144	8	ϑ	ϑ	X
ejpam-4747	144	9	(	(	PUNCT
ejpam-4747	144	10	gn	gn	PROPN
ejpam-4747	144	11	[	[	X
ejpam-4747	144	12	f	f	X
ejpam-4747	144	13	(	(	PUNCT
ejpam-4747	144	14	t	t	PROPN
ejpam-4747	144	15	)	)	PUNCT
ejpam-4747	144	16	]	]	PUNCT
ejpam-4747	144	17	h(ϑ	h(ϑ	PROPN
ejpam-4747	144	18	)	)	PUNCT
ejpam-4747	144	19	)	)	PUNCT
ejpam-4747	144	20	)	)	PUNCT
ejpam-4747	145	1	+	+	CCONJ
ejpam-4747	145	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	145	3	)	)	PUNCT
ejpam-4747	145	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	145	5	)	)	PUNCT
ejpam-4747	145	6	∫	∫	PROPN
ejpam-4747	145	7	∞	∞	PROPN
ejpam-4747	145	8	0	0	NUM
ejpam-4747	146	1	ϑ	ϑ	X
ejpam-4747	146	2	(	(	PUNCT
ejpam-4747	146	3	f	f	PROPN
ejpam-4747	146	4	(	(	PUNCT
ejpam-4747	146	5	ψ(ϑ)t))e−σ(ϑ)tt	ψ(ϑ)t))e−σ(ϑ)tt	PROPN
ejpam-4747	146	6	.	.	PUNCT
ejpam-4747	147	1	(	(	PUNCT
ejpam-4747	147	2	16	16	NUM
ejpam-4747	147	3	)	)	PUNCT
ejpam-4747	147	4	j.i	j.i	PROPN
ejpam-4747	147	5	.	.	PROPN
ejpam-4747	147	6	mustafa	mustafa	PROPN
ejpam-4747	147	7	/	/	SYM
ejpam-4747	147	8	eur	eur	PROPN
ejpam-4747	147	9	.	.	PUNCT
ejpam-4747	148	1	j.	j.	PROPN
ejpam-4747	148	2	pure	pure	PROPN
ejpam-4747	148	3	appl	appl	PROPN
ejpam-4747	148	4	.	.	PROPN
ejpam-4747	148	5	math	math	PROPN
ejpam-4747	148	6	,	,	PUNCT
ejpam-4747	148	7	16	16	NUM
ejpam-4747	148	8	(	(	PUNCT
ejpam-4747	148	9	2	2	NUM
ejpam-4747	148	10	)	)	PUNCT
ejpam-4747	148	11	(	(	PUNCT
ejpam-4747	148	12	2023	2023	NUM
ejpam-4747	148	13	)	)	PUNCT
ejpam-4747	148	14	,	,	PUNCT
ejpam-4747	148	15	1024	1024	NUM
ejpam-4747	148	16	-	-	SYM
ejpam-4747	148	17	1046	1046	NUM
ejpam-4747	148	18	1029	1029	NUM
ejpam-4747	148	19	(	(	PUNCT
ejpam-4747	148	20	3.b	3.b	NUM
ejpam-4747	148	21	)	)	PUNCT
ejpam-4747	148	22	gn	gn	PROPN
ejpam-4747	149	1	[	[	X
ejpam-4747	149	2	t2	t2	X
ejpam-4747	149	3	f	f	X
ejpam-4747	149	4	(	(	PUNCT
ejpam-4747	149	5	t	t	PROPN
ejpam-4747	149	6	)	)	PUNCT
ejpam-4747	149	7	]	]	PUNCT
ejpam-4747	149	8	=	=	PUNCT
ejpam-4747	149	9	h(ϑ	h(ϑ	PROPN
ejpam-4747	149	10	)	)	PUNCT
ejpam-4747	149	11	σ′(ϑ	σ′(ϑ	X
ejpam-4747	149	12	)	)	PUNCT
ejpam-4747	149	13	(	(	PUNCT
ejpam-4747	149	14	ϑ	ϑ	X
ejpam-4747	149	15	(	(	PUNCT
ejpam-4747	149	16	1	1	NUM
ejpam-4747	149	17	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	149	18	)	)	PUNCT
ejpam-4747	149	19	(	(	PUNCT
ejpam-4747	149	20	ϑ	ϑ	X
ejpam-4747	149	21	(	(	PUNCT
ejpam-4747	149	22	gn	gn	PROPN
ejpam-4747	149	23	[	[	X
ejpam-4747	149	24	f	f	X
ejpam-4747	149	25	(	(	PUNCT
ejpam-4747	149	26	t	t	PROPN
ejpam-4747	149	27	)	)	PUNCT
ejpam-4747	149	28	]	]	PUNCT
ejpam-4747	149	29	h(ϑ	h(ϑ	PROPN
ejpam-4747	149	30	)	)	PUNCT
ejpam-4747	149	31	)	)	PUNCT
ejpam-4747	149	32	)	)	PUNCT
ejpam-4747	149	33	)	)	PUNCT
ejpam-4747	149	34	)	)	PUNCT
ejpam-4747	150	1	−	−	ADP
ejpam-4747	150	2	h(ϑ	h(ϑ	PROPN
ejpam-4747	150	3	)	)	PUNCT
ejpam-4747	150	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	150	5	)	)	PUNCT
ejpam-4747	150	6	(	(	PUNCT
ejpam-4747	150	7	ϑ	ϑ	X
ejpam-4747	150	8	(	(	PUNCT
ejpam-4747	150	9	1	1	NUM
ejpam-4747	150	10	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	150	11	)	)	PUNCT
ejpam-4747	150	12	(	(	PUNCT
ejpam-4747	150	13	∫	∫	PROPN
ejpam-4747	150	14	∞	∞	PROPN
ejpam-4747	150	15	0	0	NUM
ejpam-4747	150	16	ϑ	ϑ	X
ejpam-4747	150	17	(	(	PUNCT
ejpam-4747	150	18	f	f	PROPN
ejpam-4747	150	19	(	(	PUNCT
ejpam-4747	150	20	ψ(ϑ)t	ψ(ϑ)t	PROPN
ejpam-4747	150	21	)	)	PUNCT
ejpam-4747	150	22	)	)	PUNCT
ejpam-4747	150	23	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	150	24	)	)	PUNCT
ejpam-4747	150	25	tt	tt	PROPN
ejpam-4747	150	26	)	)	PUNCT
ejpam-4747	150	27	)	)	PUNCT
ejpam-4747	150	28	)	)	PUNCT
ejpam-4747	151	1	+	+	CCONJ
ejpam-4747	151	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	151	3	)	)	PUNCT
ejpam-4747	151	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	151	5	)	)	PUNCT
ejpam-4747	151	6	∫	∫	PROPN
ejpam-4747	151	7	∞	∞	PROPN
ejpam-4747	151	8	0	0	NUM
ejpam-4747	152	1	t	t	PROPN
ejpam-4747	152	2	ϑ	ϑ	X
ejpam-4747	152	3	(	(	PUNCT
ejpam-4747	152	4	f	f	PROPN
ejpam-4747	152	5	(	(	PUNCT
ejpam-4747	152	6	ψ(ϑ)t	ψ(ϑ)t	PROPN
ejpam-4747	152	7	)	)	PUNCT
ejpam-4747	152	8	)	)	PUNCT
ejpam-4747	152	9	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	152	10	)	)	PUNCT
ejpam-4747	152	11	tt	tt	PROPN
ejpam-4747	152	12	.	.	PUNCT
ejpam-4747	152	13	(	(	PUNCT
ejpam-4747	152	14	17	17	NUM
ejpam-4747	152	15	)	)	PUNCT
ejpam-4747	152	16	(	(	PUNCT
ejpam-4747	152	17	3.c	3.c	NUM
ejpam-4747	152	18	)	)	PUNCT
ejpam-4747	152	19	in	in	ADP
ejpam-4747	152	20	general	general	ADJ
ejpam-4747	152	21	,	,	PUNCT
ejpam-4747	152	22	gn	gn	PROPN
ejpam-4747	153	1	[	[	X
ejpam-4747	153	2	tn	tn	X
ejpam-4747	153	3	f	f	X
ejpam-4747	153	4	(	(	PUNCT
ejpam-4747	153	5	t	t	PROPN
ejpam-4747	153	6	)	)	PUNCT
ejpam-4747	153	7	]	]	PUNCT
ejpam-4747	154	1	=	=	PUNCT
ejpam-4747	154	2	(	(	PUNCT
ejpam-4747	154	3	−1)n	−1)n	PROPN
ejpam-4747	154	4	h(ϑ	h(ϑ	PROPN
ejpam-4747	154	5	)	)	PUNCT
ejpam-4747	154	6	σ′(ϑ	σ′(ϑ	X
ejpam-4747	154	7	)	)	PUNCT
ejpam-4747	154	8	(	(	PUNCT
ejpam-4747	154	9	ϑ	ϑ	X
ejpam-4747	154	10	(	(	PUNCT
ejpam-4747	154	11	1	1	NUM
ejpam-4747	154	12	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	154	13	)	)	PUNCT
ejpam-4747	154	14	(	(	PUNCT
ejpam-4747	154	15	ϑ	ϑ	X
ejpam-4747	154	16	(	(	PUNCT
ejpam-4747	154	17	1	1	NUM
ejpam-4747	154	18	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	154	19	)	)	PUNCT
ejpam-4747	154	20	.	.	PUNCT
ejpam-4747	154	21	.	.	PUNCT
ejpam-4747	155	1	.︸	.︸	PROPN
ejpam-4747	155	2	︷︷	︷︷	PROPN
ejpam-4747	155	3	︸	︸	NOUN
ejpam-4747	155	4	n−1	n−1	PROPN
ejpam-4747	155	5	times	time	NOUN
ejpam-4747	155	6	(	(	PUNCT
ejpam-4747	155	7	ϑ	ϑ	X
ejpam-4747	155	8	(	(	PUNCT
ejpam-4747	155	9	gn	gn	PROPN
ejpam-4747	155	10	[	[	X
ejpam-4747	155	11	f	f	X
ejpam-4747	155	12	(	(	PUNCT
ejpam-4747	155	13	t	t	PROPN
ejpam-4747	155	14	)	)	PUNCT
ejpam-4747	155	15	]	]	PUNCT
ejpam-4747	155	16	h(ϑ	h(ϑ	PROPN
ejpam-4747	155	17	)	)	PUNCT
ejpam-4747	155	18	)	)	PUNCT
ejpam-4747	155	19	)	)	PUNCT
ejpam-4747	155	20	)	)	PUNCT
ejpam-4747	155	21	)	)	PUNCT
ejpam-4747	155	22	)	)	PUNCT
ejpam-4747	155	23	)	)	PUNCT
ejpam-4747	156	1	+	+	CCONJ
ejpam-4747	156	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	156	3	)	)	PUNCT
ejpam-4747	156	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	156	5	)	)	PUNCT
ejpam-4747	156	6	n−1∑	n−1∑	PROPN
ejpam-4747	156	7	k=0	k=0	PROPN
ejpam-4747	156	8	(	(	PUNCT
ejpam-4747	156	9	−1)k	−1)k	PROPN
ejpam-4747	156	10	(	(	PUNCT
ejpam-4747	156	11	ϑ	ϑ	X
ejpam-4747	156	12	(	(	PUNCT
ejpam-4747	156	13	1	1	NUM
ejpam-4747	156	14	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	156	15	)	)	PUNCT
ejpam-4747	156	16	(	(	PUNCT
ejpam-4747	156	17	ϑ	ϑ	X
ejpam-4747	156	18	(	(	PUNCT
ejpam-4747	156	19	1	1	NUM
ejpam-4747	156	20	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	156	21	)	)	PUNCT
ejpam-4747	156	22	.	.	PUNCT
ejpam-4747	156	23	.	.	PUNCT
ejpam-4747	157	1	.︸	.︸	PROPN
ejpam-4747	157	2	︷︷	︷︷	PROPN
ejpam-4747	157	3	︸	︸	X
ejpam-4747	158	1	k	k	PROPN
ejpam-4747	158	2	times	times	PROPN
ejpam-4747	158	3	×	×	PROPN
ejpam-4747	158	4	(	(	PUNCT
ejpam-4747	158	5	∫	∫	PROPN
ejpam-4747	158	6	∞	∞	PROPN
ejpam-4747	158	7	0	0	NUM
ejpam-4747	159	1	(	(	PUNCT
ejpam-4747	159	2	t)n−k−1	t)n−k−1	PROPN
ejpam-4747	159	3	ϑ	ϑ	X
ejpam-4747	159	4	(	(	PUNCT
ejpam-4747	159	5	f	f	X
ejpam-4747	159	6	(	(	PUNCT
ejpam-4747	159	7	ψ(ϑ)t	ψ(ϑ)t	PROPN
ejpam-4747	159	8	)	)	PUNCT
ejpam-4747	159	9	)	)	PUNCT
ejpam-4747	159	10	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	159	11	)	)	PUNCT
ejpam-4747	159	12	tt	tt	PROPN
ejpam-4747	159	13	)	)	PUNCT
ejpam-4747	159	14	)	)	PUNCT
ejpam-4747	159	15	)	)	PUNCT
ejpam-4747	159	16	)	)	PUNCT
ejpam-4747	159	17	)	)	PUNCT
ejpam-4747	159	18	.	.	PUNCT
ejpam-4747	160	1	(	(	PUNCT
ejpam-4747	160	2	18	18	NUM
ejpam-4747	160	3	)	)	PUNCT
ejpam-4747	160	4	(	(	PUNCT
ejpam-4747	160	5	3.d	3.d	NUM
ejpam-4747	160	6	)	)	PUNCT
ejpam-4747	160	7	gn	gn	PROPN
ejpam-4747	161	1	[	[	X
ejpam-4747	161	2	t	t	X
ejpam-4747	161	3	f	f	PROPN
ejpam-4747	161	4	′(t	′(t	PROPN
ejpam-4747	161	5	)	)	PUNCT
ejpam-4747	161	6	]	]	PUNCT
ejpam-4747	162	1	=	=	PUNCT
ejpam-4747	162	2	−	−	PROPN
ejpam-4747	162	3	h(ϑ	h(ϑ	PROPN
ejpam-4747	162	4	)	)	PUNCT
ejpam-4747	162	5	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	162	6	)	)	PUNCT
ejpam-4747	162	7	ϑ	ϑ	X
ejpam-4747	162	8	(	(	PUNCT
ejpam-4747	162	9	gn	gn	X
ejpam-4747	163	1	[	[	X
ejpam-4747	163	2	f	f	PROPN
ejpam-4747	163	3	′(t	′(t	PROPN
ejpam-4747	163	4	)	)	PUNCT
ejpam-4747	163	5	]	]	PUNCT
ejpam-4747	163	6	h(ϑ	h(ϑ	PROPN
ejpam-4747	163	7	)	)	PUNCT
ejpam-4747	163	8	)	)	PUNCT
ejpam-4747	164	1	+	+	CCONJ
ejpam-4747	164	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	164	3	)	)	PUNCT
ejpam-4747	164	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	164	5	)	)	PUNCT
ejpam-4747	164	6	∫	∫	PROPN
ejpam-4747	165	1	∞	∞	PROPN
ejpam-4747	165	2	0	0	NUM
ejpam-4747	166	1	ϑ	ϑ	X
ejpam-4747	166	2	(	(	PUNCT
ejpam-4747	166	3	f	f	PROPN
ejpam-4747	166	4	′(ψ(ϑ	′(ψ(ϑ	X
ejpam-4747	166	5	)	)	PUNCT
ejpam-4747	166	6	t))e−σ(ϑ	t))e−σ(ϑ	NOUN
ejpam-4747	166	7	)	)	PUNCT
ejpam-4747	166	8	tt	tt	PROPN
ejpam-4747	166	9	.	.	PUNCT
ejpam-4747	167	1	(	(	PUNCT
ejpam-4747	167	2	19	19	NUM
ejpam-4747	167	3	)	)	PUNCT
ejpam-4747	167	4	(	(	PUNCT
ejpam-4747	167	5	3.e	3.e	NUM
ejpam-4747	167	6	)	)	PUNCT
ejpam-4747	167	7	gn	gn	PROPN
ejpam-4747	168	1	[	[	X
ejpam-4747	168	2	t	t	X
ejpam-4747	168	3	f	f	PROPN
ejpam-4747	168	4	′′(t	′′(t	PROPN
ejpam-4747	168	5	)	)	PUNCT
ejpam-4747	168	6	]	]	PUNCT
ejpam-4747	169	1	=	=	PUNCT
ejpam-4747	169	2	−	−	PROPN
ejpam-4747	169	3	h(ϑ	h(ϑ	PROPN
ejpam-4747	169	4	)	)	PUNCT
ejpam-4747	169	5	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	169	6	)	)	PUNCT
ejpam-4747	169	7	ϑ	ϑ	X
ejpam-4747	169	8	(	(	PUNCT
ejpam-4747	169	9	gn	gn	X
ejpam-4747	170	1	[	[	X
ejpam-4747	170	2	f	f	PROPN
ejpam-4747	170	3	′(t	′(t	PROPN
ejpam-4747	170	4	)	)	PUNCT
ejpam-4747	170	5	]	]	PUNCT
ejpam-4747	170	6	h(ϑ	h(ϑ	PROPN
ejpam-4747	170	7	)	)	PUNCT
ejpam-4747	170	8	)	)	PUNCT
ejpam-4747	171	1	+	+	CCONJ
ejpam-4747	171	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	171	3	)	)	PUNCT
ejpam-4747	171	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	171	5	)	)	PUNCT
ejpam-4747	171	6	∫	∫	PROPN
ejpam-4747	172	1	∞	∞	PROPN
ejpam-4747	172	2	0	0	NUM
ejpam-4747	173	1	ϑ	ϑ	X
ejpam-4747	173	2	(	(	PUNCT
ejpam-4747	173	3	f	f	PROPN
ejpam-4747	173	4	′′(ψ(ϑ	′′(ψ(ϑ	PROPN
ejpam-4747	173	5	)	)	PUNCT
ejpam-4747	173	6	t))e−σ(ϑ)tt	t))e−σ(ϑ)tt	NOUN
ejpam-4747	173	7	.	.	PUNCT
ejpam-4747	174	1	(	(	PUNCT
ejpam-4747	174	2	20	20	NUM
ejpam-4747	174	3	)	)	PUNCT
ejpam-4747	174	4	(	(	PUNCT
ejpam-4747	174	5	3.f	3.f	NUM
ejpam-4747	174	6	)	)	PUNCT
ejpam-4747	174	7	in	in	ADP
ejpam-4747	174	8	general	general	ADJ
ejpam-4747	174	9	,	,	PUNCT
ejpam-4747	174	10	gn	gn	PROPN
ejpam-4747	175	1	[	[	X
ejpam-4747	175	2	t	t	X
ejpam-4747	175	3	f	f	X
ejpam-4747	175	4	(	(	PUNCT
ejpam-4747	175	5	n)(t	n)(t	PROPN
ejpam-4747	175	6	)	)	PUNCT
ejpam-4747	175	7	]	]	PUNCT
ejpam-4747	175	8	=	=	PUNCT
ejpam-4747	175	9	−	−	PROPN
ejpam-4747	175	10	h(ϑ	h(ϑ	PROPN
ejpam-4747	175	11	)	)	PUNCT
ejpam-4747	176	1	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	176	2	)	)	PUNCT
ejpam-4747	176	3	ϑ	ϑ	X
ejpam-4747	176	4	(	(	PUNCT
ejpam-4747	176	5	gn	gn	PROPN
ejpam-4747	176	6	[	[	X
ejpam-4747	176	7	f	f	X
ejpam-4747	176	8	(	(	PUNCT
ejpam-4747	176	9	n)(t	n)(t	PROPN
ejpam-4747	176	10	)	)	PUNCT
ejpam-4747	176	11	]	]	PUNCT
ejpam-4747	176	12	h(ϑ	h(ϑ	NOUN
ejpam-4747	176	13	)	)	PUNCT
ejpam-4747	176	14	)	)	PUNCT
ejpam-4747	177	1	+	+	CCONJ
ejpam-4747	177	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	177	3	)	)	PUNCT
ejpam-4747	177	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	177	5	)	)	PUNCT
ejpam-4747	177	6	∫	∫	PROPN
ejpam-4747	178	1	∞	∞	PROPN
ejpam-4747	178	2	0	0	NUM
ejpam-4747	179	1	ϑ	ϑ	X
ejpam-4747	179	2	(	(	PUNCT
ejpam-4747	179	3	f	f	X
ejpam-4747	179	4	(	(	PUNCT
ejpam-4747	179	5	n)(ψ(ϑ)t))e−σ(ϑ)tt	n)(ψ(ϑ)t))e−σ(ϑ)tt	PROPN
ejpam-4747	179	6	.	.	PUNCT
ejpam-4747	180	1	(	(	PUNCT
ejpam-4747	180	2	21	21	NUM
ejpam-4747	180	3	)	)	PUNCT
ejpam-4747	180	4	proof	proof	NOUN
ejpam-4747	180	5	.	.	PUNCT
ejpam-4747	181	1	(	(	PUNCT
ejpam-4747	181	2	3.a	3.a	NUM
ejpam-4747	181	3	)	)	PUNCT
ejpam-4747	181	4	by	by	ADP
ejpam-4747	181	5	using	use	VERB
ejpam-4747	181	6	the	the	DET
ejpam-4747	181	7	definition	definition	NOUN
ejpam-4747	181	8	of	of	ADP
ejpam-4747	181	9	the	the	DET
ejpam-4747	181	10	gn	gn	PROPN
ejpam-4747	181	11	in	in	ADP
ejpam-4747	181	12	equation	equation	NOUN
ejpam-4747	181	13	(	(	PUNCT
ejpam-4747	181	14	1	1	NUM
ejpam-4747	181	15	)	)	PUNCT
ejpam-4747	181	16	,	,	PUNCT
ejpam-4747	181	17	gn	gn	PROPN
ejpam-4747	182	1	[	[	X
ejpam-4747	182	2	f	f	X
ejpam-4747	182	3	(	(	PUNCT
ejpam-4747	182	4	t	t	PROPN
ejpam-4747	182	5	)	)	PUNCT
ejpam-4747	182	6	]	]	PUNCT
ejpam-4747	182	7	=	=	X
ejpam-4747	182	8	h(ϑ	h(ϑ	PROPN
ejpam-4747	182	9	)	)	PUNCT
ejpam-4747	182	10	∫	∫	PROPN
ejpam-4747	183	1	∞	∞	PROPN
ejpam-4747	183	2	0	0	NUM
ejpam-4747	184	1	f	f	PROPN
ejpam-4747	184	2	(	(	PUNCT
ejpam-4747	184	3	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	184	4	)	)	PUNCT
ejpam-4747	184	5	t	t	PROPN
ejpam-4747	184	6	)	)	PUNCT
ejpam-4747	184	7	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	184	8	)	)	PUNCT
ejpam-4747	184	9	tt	tt	PROPN
ejpam-4747	184	10	,	,	PUNCT
ejpam-4747	184	11	gn	gn	PROPN
ejpam-4747	185	1	[	[	X
ejpam-4747	185	2	f	f	X
ejpam-4747	185	3	(	(	PUNCT
ejpam-4747	185	4	t	t	PROPN
ejpam-4747	185	5	)	)	PUNCT
ejpam-4747	185	6	]	]	PUNCT
ejpam-4747	185	7	h(ϑ	h(ϑ	PROPN
ejpam-4747	185	8	)	)	PUNCT
ejpam-4747	185	9	=	=	SYM
ejpam-4747	186	1	∫	∫	PROPN
ejpam-4747	187	1	∞	∞	NUM
ejpam-4747	187	2	0	0	NUM
ejpam-4747	188	1	f	f	PROPN
ejpam-4747	188	2	(	(	PUNCT
ejpam-4747	188	3	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	188	4	)	)	PUNCT
ejpam-4747	188	5	t	t	PROPN
ejpam-4747	188	6	)	)	PUNCT
ejpam-4747	188	7	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	188	8	)	)	PUNCT
ejpam-4747	188	9	tt	tt	PROPN
ejpam-4747	188	10	,	,	PUNCT
ejpam-4747	188	11	j.i	j.i	PROPN
ejpam-4747	188	12	.	.	PROPN
ejpam-4747	188	13	mustafa	mustafa	PROPN
ejpam-4747	188	14	/	/	SYM
ejpam-4747	188	15	eur	eur	PROPN
ejpam-4747	188	16	.	.	PUNCT
ejpam-4747	189	1	j.	j.	PROPN
ejpam-4747	189	2	pure	pure	PROPN
ejpam-4747	189	3	appl	appl	PROPN
ejpam-4747	189	4	.	.	PROPN
ejpam-4747	189	5	math	math	PROPN
ejpam-4747	189	6	,	,	PUNCT
ejpam-4747	189	7	16	16	NUM
ejpam-4747	189	8	(	(	PUNCT
ejpam-4747	189	9	2	2	NUM
ejpam-4747	189	10	)	)	PUNCT
ejpam-4747	189	11	(	(	PUNCT
ejpam-4747	189	12	2023	2023	NUM
ejpam-4747	189	13	)	)	PUNCT
ejpam-4747	189	14	,	,	PUNCT
ejpam-4747	189	15	1024	1024	NUM
ejpam-4747	189	16	-	-	SYM
ejpam-4747	189	17	1046	1046	NUM
ejpam-4747	189	18	1030	1030	NUM
ejpam-4747	189	19	derive	derive	VERB
ejpam-4747	189	20	both	both	DET
ejpam-4747	189	21	side	side	NOUN
ejpam-4747	189	22	with	with	ADP
ejpam-4747	189	23	respect	respect	NOUN
ejpam-4747	189	24	to	to	ADP
ejpam-4747	189	25	ϑ	ϑ	PRON
ejpam-4747	189	26	,	,	PUNCT
ejpam-4747	189	27	gives	give	VERB
ejpam-4747	189	28	,	,	PUNCT
ejpam-4747	189	29	ϑ	ϑ	X
ejpam-4747	189	30	(	(	PUNCT
ejpam-4747	189	31	gn	gn	PROPN
ejpam-4747	190	1	[	[	X
ejpam-4747	190	2	f	f	X
ejpam-4747	190	3	(	(	PUNCT
ejpam-4747	190	4	t	t	PROPN
ejpam-4747	190	5	)	)	PUNCT
ejpam-4747	190	6	]	]	PUNCT
ejpam-4747	190	7	h(ϑ	h(ϑ	NOUN
ejpam-4747	190	8	)	)	PUNCT
ejpam-4747	190	9	)	)	PUNCT
ejpam-4747	191	1	=	=	SYM
ejpam-4747	191	2	∫	∫	PROPN
ejpam-4747	192	1	∞	∞	PROPN
ejpam-4747	192	2	0	0	NUM
ejpam-4747	192	3	ϑ	ϑ	X
ejpam-4747	192	4	(	(	PUNCT
ejpam-4747	192	5	f	f	PROPN
ejpam-4747	192	6	(	(	PUNCT
ejpam-4747	192	7	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	192	8	)	)	PUNCT
ejpam-4747	192	9	t	t	PROPN
ejpam-4747	192	10	)	)	PUNCT
ejpam-4747	192	11	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	192	12	)	)	PUNCT
ejpam-4747	192	13	t	t	NOUN
ejpam-4747	192	14	)	)	PUNCT
ejpam-4747	192	15	t	t	PROPN
ejpam-4747	192	16	=	=	SYM
ejpam-4747	192	17	∫	∫	PROPN
ejpam-4747	192	18	∞	∞	PROPN
ejpam-4747	192	19	0	0	NUM
ejpam-4747	193	1	(	(	PUNCT
ejpam-4747	193	2	−t	−t	PROPN
ejpam-4747	193	3	f	f	PROPN
ejpam-4747	193	4	(	(	PUNCT
ejpam-4747	193	5	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	193	6	)	)	PUNCT
ejpam-4747	193	7	t	t	PROPN
ejpam-4747	193	8	)	)	PUNCT
ejpam-4747	193	9	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	193	10	)	)	PUNCT
ejpam-4747	193	11	tσ′(ϑ	tσ′(ϑ	NOUN
ejpam-4747	193	12	)	)	PUNCT
ejpam-4747	194	1	+	+	NUM
ejpam-4747	194	2	f	f	X
ejpam-4747	194	3	(	(	PUNCT
ejpam-4747	194	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	194	5	)	)	PUNCT
ejpam-4747	194	6	t	t	PROPN
ejpam-4747	194	7	)	)	PUNCT
ejpam-4747	194	8	ϑ	ϑ	X
ejpam-4747	194	9	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	194	10	)	)	PUNCT
ejpam-4747	194	11	t	t	NOUN
ejpam-4747	194	12	)	)	PUNCT
ejpam-4747	194	13	t	t	PROPN
ejpam-4747	194	14	=	=	NUM
ejpam-4747	194	15	−	−	NUM
ejpam-4747	194	16	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	194	17	)	)	PUNCT
ejpam-4747	194	18	h(ϑ	h(ϑ	PROPN
ejpam-4747	194	19	)	)	PUNCT
ejpam-4747	194	20	h(ϑ	h(ϑ	PROPN
ejpam-4747	194	21	)	)	PUNCT
ejpam-4747	195	1	∫	∫	PROPN
ejpam-4747	196	1	∞	∞	PROPN
ejpam-4747	196	2	0	0	NUM
ejpam-4747	197	1	t	t	PROPN
ejpam-4747	197	2	f	f	PROPN
ejpam-4747	197	3	(	(	PUNCT
ejpam-4747	197	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	197	5	)	)	PUNCT
ejpam-4747	197	6	t	t	PROPN
ejpam-4747	197	7	)	)	PUNCT
ejpam-4747	197	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	197	9	)	)	PUNCT
ejpam-4747	197	10	tt+	tt+	NOUN
ejpam-4747	197	11	∫	∫	PROPN
ejpam-4747	197	12	∞	∞	PROPN
ejpam-4747	197	13	0	0	NUM
ejpam-4747	198	1	f	f	PROPN
ejpam-4747	198	2	(	(	PUNCT
ejpam-4747	198	3	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	198	4	)	)	PUNCT
ejpam-4747	198	5	t	t	PROPN
ejpam-4747	198	6	)	)	PUNCT
ejpam-4747	198	7	ϑ	ϑ	X
ejpam-4747	198	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	198	9	)	)	PUNCT
ejpam-4747	198	10	tt	tt	PROPN
ejpam-4747	199	1	=	=	NOUN
ejpam-4747	199	2	−	−	NUM
ejpam-4747	199	3	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	199	4	)	)	PUNCT
ejpam-4747	199	5	h(ϑ	h(ϑ	PROPN
ejpam-4747	199	6	)	)	PUNCT
ejpam-4747	200	1	gn	gn	PROPN
ejpam-4747	201	1	[	[	X
ejpam-4747	201	2	t	t	X
ejpam-4747	201	3	f	f	X
ejpam-4747	201	4	(	(	PUNCT
ejpam-4747	201	5	t	t	PROPN
ejpam-4747	201	6	)	)	PUNCT
ejpam-4747	201	7	]	]	PUNCT
ejpam-4747	202	1	+	+	CCONJ
ejpam-4747	202	2	∫	∫	PROPN
ejpam-4747	202	3	∞	∞	NUM
ejpam-4747	202	4	0	0	NUM
ejpam-4747	203	1	f	f	PROPN
ejpam-4747	203	2	(	(	PUNCT
ejpam-4747	203	3	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	203	4	)	)	PUNCT
ejpam-4747	203	5	t	t	PROPN
ejpam-4747	203	6	)	)	PUNCT
ejpam-4747	203	7	ϑ	ϑ	PRON
ejpam-4747	203	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	203	9	)	)	PUNCT
ejpam-4747	203	10	tt	tt	NOUN
ejpam-4747	203	11	,	,	PUNCT
ejpam-4747	203	12	then	then	ADV
ejpam-4747	203	13	,	,	PUNCT
ejpam-4747	203	14	gn	gn	PROPN
ejpam-4747	204	1	[	[	X
ejpam-4747	204	2	t	t	X
ejpam-4747	204	3	f	f	X
ejpam-4747	204	4	(	(	PUNCT
ejpam-4747	204	5	t	t	PROPN
ejpam-4747	204	6	)	)	PUNCT
ejpam-4747	204	7	]	]	PUNCT
ejpam-4747	205	1	=	=	NOUN
ejpam-4747	205	2	−	−	NOUN
ejpam-4747	205	3	h(ϑ	h(ϑ	NOUN
ejpam-4747	205	4	)	)	PUNCT
ejpam-4747	205	5	σ′(ϑ	σ′(ϑ	X
ejpam-4747	205	6	)	)	PUNCT
ejpam-4747	205	7	(	(	PUNCT
ejpam-4747	205	8	ϑ	ϑ	X
ejpam-4747	205	9	(	(	PUNCT
ejpam-4747	205	10	gn	gn	PROPN
ejpam-4747	205	11	[	[	X
ejpam-4747	205	12	f	f	X
ejpam-4747	205	13	(	(	PUNCT
ejpam-4747	205	14	t	t	PROPN
ejpam-4747	205	15	)	)	PUNCT
ejpam-4747	205	16	]	]	PUNCT
ejpam-4747	205	17	h(ϑ	h(ϑ	PROPN
ejpam-4747	205	18	)	)	PUNCT
ejpam-4747	205	19	)	)	PUNCT
ejpam-4747	205	20	)	)	PUNCT
ejpam-4747	206	1	+	+	CCONJ
ejpam-4747	206	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	206	3	)	)	PUNCT
ejpam-4747	206	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	206	5	)	)	PUNCT
ejpam-4747	206	6	∫	∫	PROPN
ejpam-4747	206	7	∞	∞	PROPN
ejpam-4747	206	8	0	0	NUM
ejpam-4747	207	1	ϑ	ϑ	PROPN
ejpam-4747	207	2	f	f	X
ejpam-4747	207	3	(	(	PUNCT
ejpam-4747	207	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	207	5	)	)	PUNCT
ejpam-4747	207	6	t	t	PROPN
ejpam-4747	207	7	)	)	PUNCT
ejpam-4747	207	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	207	9	)	)	PUNCT
ejpam-4747	207	10	tt	tt	PROPN
ejpam-4747	207	11	.	.	PUNCT
ejpam-4747	207	12	proof	proof	PROPN
ejpam-4747	207	13	.	.	PUNCT
ejpam-4747	208	1	(	(	PUNCT
ejpam-4747	208	2	3.b	3.b	NUM
ejpam-4747	208	3	)	)	PUNCT
ejpam-4747	208	4	using	use	VERB
ejpam-4747	208	5	the	the	DET
ejpam-4747	208	6	formula	formula	NOUN
ejpam-4747	208	7	in	in	ADP
ejpam-4747	208	8	(	(	PUNCT
ejpam-4747	208	9	3.a	3.a	NUM
ejpam-4747	208	10	)	)	PUNCT
ejpam-4747	208	11	and	and	CCONJ
ejpam-4747	208	12	the	the	DET
ejpam-4747	208	13	definition	definition	NOUN
ejpam-4747	208	14	of	of	ADP
ejpam-4747	208	15	the	the	DET
ejpam-4747	208	16	gn	gn	PROPN
ejpam-4747	208	17	in	in	ADP
ejpam-4747	208	18	equation	equation	NOUN
ejpam-4747	208	19	(	(	PUNCT
ejpam-4747	208	20	1	1	X
ejpam-4747	208	21	)	)	PUNCT
ejpam-4747	208	22	gn	gn	PROPN
ejpam-4747	209	1	[	[	X
ejpam-4747	209	2	t	t	X
ejpam-4747	209	3	f	f	X
ejpam-4747	209	4	(	(	PUNCT
ejpam-4747	209	5	t	t	PROPN
ejpam-4747	209	6	)	)	PUNCT
ejpam-4747	209	7	]	]	PUNCT
ejpam-4747	210	1	=	=	PUNCT
ejpam-4747	210	2	−	−	PROPN
ejpam-4747	210	3	h(ϑ	h(ϑ	PROPN
ejpam-4747	210	4	)	)	PUNCT
ejpam-4747	210	5	σ′(ϑ	σ′(ϑ	X
ejpam-4747	210	6	)	)	PUNCT
ejpam-4747	210	7	(	(	PUNCT
ejpam-4747	210	8	ϑ	ϑ	X
ejpam-4747	210	9	(	(	PUNCT
ejpam-4747	210	10	gn	gn	PROPN
ejpam-4747	210	11	[	[	X
ejpam-4747	210	12	f	f	X
ejpam-4747	210	13	(	(	PUNCT
ejpam-4747	210	14	t	t	PROPN
ejpam-4747	210	15	)	)	PUNCT
ejpam-4747	210	16	]	]	PUNCT
ejpam-4747	210	17	h(ϑ	h(ϑ	PROPN
ejpam-4747	210	18	)	)	PUNCT
ejpam-4747	210	19	)	)	PUNCT
ejpam-4747	210	20	)	)	PUNCT
ejpam-4747	211	1	+	+	CCONJ
ejpam-4747	211	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	211	3	)	)	PUNCT
ejpam-4747	211	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	211	5	)	)	PUNCT
ejpam-4747	211	6	∫	∫	PROPN
ejpam-4747	211	7	∞	∞	PROPN
ejpam-4747	211	8	0	0	NUM
ejpam-4747	212	1	ϑ	ϑ	PROPN
ejpam-4747	212	2	f	f	X
ejpam-4747	212	3	(	(	PUNCT
ejpam-4747	212	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	212	5	)	)	PUNCT
ejpam-4747	212	6	t	t	PROPN
ejpam-4747	212	7	)	)	PUNCT
ejpam-4747	212	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	212	9	)	)	PUNCT
ejpam-4747	212	10	tt	tt	PROPN
ejpam-4747	212	11	,	,	PUNCT
ejpam-4747	212	12	h(ϑ	h(ϑ	PROPN
ejpam-4747	212	13	)	)	PUNCT
ejpam-4747	212	14	∫	∫	PROPN
ejpam-4747	213	1	∞	∞	PROPN
ejpam-4747	213	2	0	0	NUM
ejpam-4747	214	1	f	f	PROPN
ejpam-4747	214	2	(	(	PUNCT
ejpam-4747	214	3	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	214	4	)	)	PUNCT
ejpam-4747	214	5	t	t	PROPN
ejpam-4747	214	6	)	)	PUNCT
ejpam-4747	214	7	t	t	NOUN
ejpam-4747	214	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	214	9	)	)	PUNCT
ejpam-4747	214	10	tt	tt	PROPN
ejpam-4747	214	11	=	=	PUNCT
ejpam-4747	215	1	−	−	PROPN
ejpam-4747	215	2	h(ϑ	h(ϑ	PROPN
ejpam-4747	215	3	)	)	PUNCT
ejpam-4747	215	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	215	5	)	)	PUNCT
ejpam-4747	215	6	(	(	PUNCT
ejpam-4747	215	7	ϑ	ϑ	X
ejpam-4747	215	8	(	(	PUNCT
ejpam-4747	215	9	gn	gn	PROPN
ejpam-4747	215	10	[	[	X
ejpam-4747	215	11	f	f	X
ejpam-4747	215	12	(	(	PUNCT
ejpam-4747	215	13	t	t	PROPN
ejpam-4747	215	14	)	)	PUNCT
ejpam-4747	215	15	]	]	PUNCT
ejpam-4747	215	16	h(ϑ	h(ϑ	PROPN
ejpam-4747	215	17	)	)	PUNCT
ejpam-4747	215	18	)	)	PUNCT
ejpam-4747	215	19	)	)	PUNCT
ejpam-4747	216	1	+	+	CCONJ
ejpam-4747	216	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	216	3	)	)	PUNCT
ejpam-4747	216	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	216	5	)	)	PUNCT
ejpam-4747	216	6	∫	∫	PROPN
ejpam-4747	216	7	∞	∞	PROPN
ejpam-4747	216	8	0	0	NUM
ejpam-4747	217	1	ϑ	ϑ	PROPN
ejpam-4747	217	2	f	f	X
ejpam-4747	217	3	(	(	PUNCT
ejpam-4747	217	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	217	5	)	)	PUNCT
ejpam-4747	217	6	t	t	PROPN
ejpam-4747	217	7	)	)	PUNCT
ejpam-4747	217	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	217	9	)	)	PUNCT
ejpam-4747	217	10	tt	tt	PROPN
ejpam-4747	217	11	,	,	PUNCT
ejpam-4747	217	12	derive	derive	VERB
ejpam-4747	217	13	both	both	DET
ejpam-4747	217	14	side	side	NOUN
ejpam-4747	217	15	with	with	ADP
ejpam-4747	217	16	respect	respect	NOUN
ejpam-4747	217	17	to	to	ADP
ejpam-4747	217	18	ϑ	ϑ	NOUN
ejpam-4747	217	19	,	,	PUNCT
ejpam-4747	217	20	gives,∫	gives,∫	ADJ
ejpam-4747	217	21	∞	∞	PROPN
ejpam-4747	217	22	0	0	NUM
ejpam-4747	218	1	f	f	PROPN
ejpam-4747	218	2	(	(	PUNCT
ejpam-4747	218	3	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	218	4	)	)	PUNCT
ejpam-4747	218	5	t	t	PROPN
ejpam-4747	218	6	)	)	PUNCT
ejpam-4747	218	7	t2(−σ′(ϑ	t2(−σ′(ϑ	NOUN
ejpam-4747	218	8	)	)	PUNCT
ejpam-4747	218	9	)	)	PUNCT
ejpam-4747	218	10	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	218	11	)	)	PUNCT
ejpam-4747	218	12	tt+	tt+	NOUN
ejpam-4747	218	13	∫	∫	PROPN
ejpam-4747	218	14	∞	∞	PROPN
ejpam-4747	218	15	0	0	NUM
ejpam-4747	219	1	ϑ	ϑ	PROPN
ejpam-4747	219	2	f	f	X
ejpam-4747	219	3	(	(	PUNCT
ejpam-4747	219	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	219	5	)	)	PUNCT
ejpam-4747	219	6	t	t	PROPN
ejpam-4747	219	7	)	)	PUNCT
ejpam-4747	219	8	t	t	NOUN
ejpam-4747	219	9	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	219	10	)	)	PUNCT
ejpam-4747	219	11	tt	tt	PROPN
ejpam-4747	219	12	=	=	PUNCT
ejpam-4747	220	1	−	−	PROPN
ejpam-4747	220	2	ϑ	ϑ	X
ejpam-4747	220	3	(	(	PUNCT
ejpam-4747	220	4	1	1	NUM
ejpam-4747	220	5	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	220	6	)	)	PUNCT
ejpam-4747	220	7	(	(	PUNCT
ejpam-4747	220	8	ϑ	ϑ	X
ejpam-4747	220	9	(	(	PUNCT
ejpam-4747	220	10	gn	gn	PROPN
ejpam-4747	221	1	[	[	X
ejpam-4747	221	2	f	f	X
ejpam-4747	221	3	(	(	PUNCT
ejpam-4747	221	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	221	5	)	)	PUNCT
ejpam-4747	221	6	t	t	PROPN
ejpam-4747	221	7	)	)	PUNCT
ejpam-4747	221	8	]	]	PUNCT
ejpam-4747	221	9	h(ϑ	h(ϑ	PROPN
ejpam-4747	221	10	)	)	PUNCT
ejpam-4747	221	11	)	)	PUNCT
ejpam-4747	221	12	)	)	PUNCT
ejpam-4747	221	13	)	)	PUNCT
ejpam-4747	222	1	+	+	CCONJ
ejpam-4747	222	2	ϑ	ϑ	X
ejpam-4747	222	3	(	(	PUNCT
ejpam-4747	222	4	1	1	NUM
ejpam-4747	222	5	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	222	6	)	)	PUNCT
ejpam-4747	222	7	(	(	PUNCT
ejpam-4747	222	8	∫	∫	PROPN
ejpam-4747	222	9	∞	∞	PROPN
ejpam-4747	222	10	0	0	NUM
ejpam-4747	222	11	ϑ	ϑ	PROPN
ejpam-4747	222	12	f	f	X
ejpam-4747	222	13	(	(	PUNCT
ejpam-4747	222	14	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	222	15	)	)	PUNCT
ejpam-4747	222	16	t	t	PROPN
ejpam-4747	222	17	)	)	PUNCT
ejpam-4747	222	18	t	t	NOUN
ejpam-4747	222	19	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	222	20	)	)	PUNCT
ejpam-4747	222	21	tt	tt	PROPN
ejpam-4747	222	22	)	)	PUNCT
ejpam-4747	222	23	)	)	PUNCT
ejpam-4747	222	24	,	,	PUNCT
ejpam-4747	222	25	so	so	ADV
ejpam-4747	222	26	,	,	PUNCT
ejpam-4747	222	27	−	−	ADP
ejpam-4747	222	28	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	222	29	)	)	PUNCT
ejpam-4747	222	30	h(ϑ	h(ϑ	PROPN
ejpam-4747	222	31	)	)	PUNCT
ejpam-4747	222	32	gn	gn	PROPN
ejpam-4747	223	1	[	[	X
ejpam-4747	223	2	t2f	t2f	X
ejpam-4747	223	3	(	(	PUNCT
ejpam-4747	223	4	t	t	PROPN
ejpam-4747	223	5	)	)	PUNCT
ejpam-4747	223	6	]	]	PUNCT
ejpam-4747	224	1	+	+	CCONJ
ejpam-4747	224	2	∫	∫	PROPN
ejpam-4747	224	3	∞	∞	PROPN
ejpam-4747	224	4	0	0	NUM
ejpam-4747	225	1	ϑ	ϑ	PROPN
ejpam-4747	225	2	f	f	X
ejpam-4747	225	3	(	(	PUNCT
ejpam-4747	225	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	225	5	)	)	PUNCT
ejpam-4747	225	6	t	t	PROPN
ejpam-4747	225	7	)	)	PUNCT
ejpam-4747	225	8	t	t	NOUN
ejpam-4747	225	9	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	225	10	)	)	PUNCT
ejpam-4747	225	11	tt	tt	PROPN
ejpam-4747	226	1	=	=	PUNCT
ejpam-4747	227	1	−	−	PROPN
ejpam-4747	227	2	ϑ	ϑ	X
ejpam-4747	227	3	(	(	PUNCT
ejpam-4747	227	4	1	1	NUM
ejpam-4747	227	5	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	227	6	)	)	PUNCT
ejpam-4747	227	7	(	(	PUNCT
ejpam-4747	227	8	ϑ	ϑ	X
ejpam-4747	227	9	(	(	PUNCT
ejpam-4747	227	10	gn	gn	PROPN
ejpam-4747	228	1	[	[	X
ejpam-4747	228	2	f	f	X
ejpam-4747	228	3	(	(	PUNCT
ejpam-4747	228	4	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	228	5	)	)	PUNCT
ejpam-4747	228	6	t	t	PROPN
ejpam-4747	228	7	)	)	PUNCT
ejpam-4747	228	8	]	]	PUNCT
ejpam-4747	228	9	h(ϑ	h(ϑ	PROPN
ejpam-4747	228	10	)	)	PUNCT
ejpam-4747	228	11	)	)	PUNCT
ejpam-4747	228	12	)	)	PUNCT
ejpam-4747	228	13	)	)	PUNCT
ejpam-4747	229	1	+	+	CCONJ
ejpam-4747	229	2	ϑ	ϑ	X
ejpam-4747	229	3	(	(	PUNCT
ejpam-4747	229	4	1	1	NUM
ejpam-4747	229	5	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	229	6	)	)	PUNCT
ejpam-4747	229	7	(	(	PUNCT
ejpam-4747	229	8	∫	∫	PROPN
ejpam-4747	229	9	∞	∞	PROPN
ejpam-4747	229	10	0	0	NUM
ejpam-4747	229	11	ϑ	ϑ	PROPN
ejpam-4747	229	12	f	f	X
ejpam-4747	229	13	(	(	PUNCT
ejpam-4747	229	14	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	229	15	)	)	PUNCT
ejpam-4747	229	16	t	t	PROPN
ejpam-4747	229	17	)	)	PUNCT
ejpam-4747	229	18	t	t	NOUN
ejpam-4747	229	19	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	229	20	)	)	PUNCT
ejpam-4747	229	21	tt	tt	PROPN
ejpam-4747	229	22	)	)	PUNCT
ejpam-4747	229	23	)	)	PUNCT
ejpam-4747	229	24	,	,	PUNCT
ejpam-4747	229	25	then	then	ADV
ejpam-4747	229	26	,	,	PUNCT
ejpam-4747	229	27	gn	gn	PROPN
ejpam-4747	230	1	[	[	X
ejpam-4747	230	2	t2f	t2f	X
ejpam-4747	230	3	(	(	PUNCT
ejpam-4747	230	4	t	t	NOUN
ejpam-4747	230	5	)	)	PUNCT
ejpam-4747	230	6	]	]	PUNCT
ejpam-4747	230	7	=	=	PUNCT
ejpam-4747	230	8	h(ϑ	h(ϑ	PROPN
ejpam-4747	230	9	)	)	PUNCT
ejpam-4747	230	10	σ′(ϑ	σ′(ϑ	X
ejpam-4747	230	11	)	)	PUNCT
ejpam-4747	230	12	(	(	PUNCT
ejpam-4747	230	13	ϑ	ϑ	X
ejpam-4747	230	14	(	(	PUNCT
ejpam-4747	230	15	1	1	NUM
ejpam-4747	230	16	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	230	17	)	)	PUNCT
ejpam-4747	230	18	(	(	PUNCT
ejpam-4747	230	19	ϑ	ϑ	X
ejpam-4747	230	20	(	(	PUNCT
ejpam-4747	230	21	gn	gn	PROPN
ejpam-4747	230	22	[	[	X
ejpam-4747	230	23	f	f	X
ejpam-4747	230	24	(	(	PUNCT
ejpam-4747	230	25	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	230	26	)	)	PUNCT
ejpam-4747	230	27	t	t	PROPN
ejpam-4747	230	28	)	)	PUNCT
ejpam-4747	230	29	]	]	PUNCT
ejpam-4747	230	30	h(ϑ	h(ϑ	PROPN
ejpam-4747	230	31	)	)	PUNCT
ejpam-4747	230	32	)	)	PUNCT
ejpam-4747	230	33	)	)	PUNCT
ejpam-4747	230	34	)	)	PUNCT
ejpam-4747	230	35	)	)	PUNCT
ejpam-4747	231	1	−	−	ADP
ejpam-4747	231	2	h(ϑ	h(ϑ	PROPN
ejpam-4747	231	3	)	)	PUNCT
ejpam-4747	231	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	231	5	)	)	PUNCT
ejpam-4747	231	6	(	(	PUNCT
ejpam-4747	231	7	ϑ	ϑ	X
ejpam-4747	231	8	(	(	PUNCT
ejpam-4747	231	9	1	1	NUM
ejpam-4747	231	10	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	231	11	)	)	PUNCT
ejpam-4747	231	12	(	(	PUNCT
ejpam-4747	231	13	∫	∫	PROPN
ejpam-4747	231	14	∞	∞	PROPN
ejpam-4747	231	15	0	0	NUM
ejpam-4747	231	16	ϑ	ϑ	PROPN
ejpam-4747	231	17	f	f	X
ejpam-4747	231	18	(	(	PUNCT
ejpam-4747	231	19	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	231	20	)	)	PUNCT
ejpam-4747	231	21	t	t	PROPN
ejpam-4747	231	22	)	)	PUNCT
ejpam-4747	231	23	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	231	24	)	)	PUNCT
ejpam-4747	231	25	tt	tt	PROPN
ejpam-4747	231	26	)	)	PUNCT
ejpam-4747	231	27	)	)	PUNCT
ejpam-4747	231	28	)	)	PUNCT
ejpam-4747	232	1	+	+	CCONJ
ejpam-4747	232	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	232	3	)	)	PUNCT
ejpam-4747	232	4	σ′(ϑ	σ′(ϑ	PROPN
ejpam-4747	232	5	)	)	PUNCT
ejpam-4747	232	6	(	(	PUNCT
ejpam-4747	232	7	∫	∫	PROPN
ejpam-4747	232	8	∞	∞	PROPN
ejpam-4747	232	9	0	0	NUM
ejpam-4747	232	10	ϑ	ϑ	PROPN
ejpam-4747	232	11	f	f	X
ejpam-4747	232	12	(	(	PUNCT
ejpam-4747	232	13	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	232	14	)	)	PUNCT
ejpam-4747	232	15	t	t	PROPN
ejpam-4747	232	16	)	)	PUNCT
ejpam-4747	232	17	t	t	NOUN
ejpam-4747	232	18	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	232	19	)	)	PUNCT
ejpam-4747	232	20	tt	tt	PROPN
ejpam-4747	232	21	)	)	PUNCT
ejpam-4747	232	22	j.i	j.i	PROPN
ejpam-4747	232	23	.	.	PROPN
ejpam-4747	232	24	mustafa	mustafa	PROPN
ejpam-4747	232	25	/	/	SYM
ejpam-4747	232	26	eur	eur	PROPN
ejpam-4747	232	27	.	.	PUNCT
ejpam-4747	233	1	j.	j.	PROPN
ejpam-4747	233	2	pure	pure	PROPN
ejpam-4747	233	3	appl	appl	PROPN
ejpam-4747	233	4	.	.	PROPN
ejpam-4747	233	5	math	math	PROPN
ejpam-4747	233	6	,	,	PUNCT
ejpam-4747	233	7	16	16	NUM
ejpam-4747	233	8	(	(	PUNCT
ejpam-4747	233	9	2	2	NUM
ejpam-4747	233	10	)	)	PUNCT
ejpam-4747	233	11	(	(	PUNCT
ejpam-4747	233	12	2023	2023	NUM
ejpam-4747	233	13	)	)	PUNCT
ejpam-4747	233	14	,	,	PUNCT
ejpam-4747	233	15	1024	1024	NUM
ejpam-4747	233	16	-	-	SYM
ejpam-4747	233	17	1046	1046	NUM
ejpam-4747	233	18	1031	1031	NUM
ejpam-4747	233	19	we	we	PRON
ejpam-4747	233	20	can	can	AUX
ejpam-4747	233	21	prove	prove	VERB
ejpam-4747	233	22	the	the	DET
ejpam-4747	233	23	general	general	ADJ
ejpam-4747	233	24	case	case	NOUN
ejpam-4747	233	25	(	(	PUNCT
ejpam-4747	233	26	3.c	3.c	NUM
ejpam-4747	233	27	)	)	PUNCT
ejpam-4747	233	28	of	of	ADP
ejpam-4747	233	29	theorem	theorem	NOUN
ejpam-4747	233	30	(	(	PUNCT
ejpam-4747	233	31	3	3	NUM
ejpam-4747	233	32	)	)	PUNCT
ejpam-4747	233	33	in	in	ADP
ejpam-4747	233	34	a	a	DET
ejpam-4747	233	35	similar	similar	ADJ
ejpam-4747	233	36	way	way	NOUN
ejpam-4747	233	37	.	.	PUNCT
ejpam-4747	234	1	proof	proof	NOUN
ejpam-4747	234	2	.	.	PUNCT
ejpam-4747	235	1	(	(	PUNCT
ejpam-4747	235	2	3.d	3.d	NUM
ejpam-4747	235	3	)	)	PUNCT
ejpam-4747	235	4	since	since	SCONJ
ejpam-4747	235	5	,	,	PUNCT
ejpam-4747	235	6	gn	gn	PROPN
ejpam-4747	236	1	[	[	X
ejpam-4747	236	2	f	f	PROPN
ejpam-4747	236	3	′(t	′(t	PROPN
ejpam-4747	236	4	)	)	PUNCT
ejpam-4747	236	5	]	]	PUNCT
ejpam-4747	237	1	=	=	X
ejpam-4747	237	2	h(ϑ	h(ϑ	PROPN
ejpam-4747	237	3	)	)	PUNCT
ejpam-4747	237	4	∫	∫	PROPN
ejpam-4747	238	1	∞	∞	PROPN
ejpam-4747	238	2	0	0	NUM
ejpam-4747	238	3	f	f	PROPN
ejpam-4747	238	4	′(ψ(ϑ	′(ψ(ϑ	NOUN
ejpam-4747	238	5	)	)	PUNCT
ejpam-4747	238	6	t	t	NOUN
ejpam-4747	238	7	)	)	PUNCT
ejpam-4747	238	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	238	9	)	)	PUNCT
ejpam-4747	238	10	tt	tt	PROPN
ejpam-4747	238	11	,	,	PUNCT
ejpam-4747	238	12	gn	gn	PROPN
ejpam-4747	239	1	[	[	X
ejpam-4747	239	2	f	f	PROPN
ejpam-4747	239	3	′(t	′(t	PROPN
ejpam-4747	239	4	)	)	PUNCT
ejpam-4747	239	5	]	]	PUNCT
ejpam-4747	240	1	h(ϑ	h(ϑ	NOUN
ejpam-4747	240	2	)	)	PUNCT
ejpam-4747	240	3	=	=	SYM
ejpam-4747	241	1	∫	∫	PROPN
ejpam-4747	242	1	∞	∞	NUM
ejpam-4747	242	2	0	0	NUM
ejpam-4747	242	3	f	f	PROPN
ejpam-4747	242	4	′(ψ(ϑ	′(ψ(ϑ	NOUN
ejpam-4747	242	5	)	)	PUNCT
ejpam-4747	242	6	t	t	NOUN
ejpam-4747	242	7	)	)	PUNCT
ejpam-4747	242	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	242	9	)	)	PUNCT
ejpam-4747	242	10	tt	tt	PROPN
ejpam-4747	242	11	,	,	PUNCT
ejpam-4747	242	12	derive	derive	VERB
ejpam-4747	242	13	both	both	DET
ejpam-4747	242	14	side	side	NOUN
ejpam-4747	242	15	with	with	ADP
ejpam-4747	242	16	respect	respect	NOUN
ejpam-4747	242	17	to	to	ADP
ejpam-4747	242	18	ϑ	ϑ	PRON
ejpam-4747	242	19	,	,	PUNCT
ejpam-4747	242	20	gives	give	VERB
ejpam-4747	242	21	,	,	PUNCT
ejpam-4747	242	22	ϑ	ϑ	X
ejpam-4747	242	23	(	(	PUNCT
ejpam-4747	242	24	gn	gn	PROPN
ejpam-4747	243	1	[	[	X
ejpam-4747	243	2	f	f	PROPN
ejpam-4747	243	3	′(t	′(t	PROPN
ejpam-4747	243	4	)	)	PUNCT
ejpam-4747	243	5	]	]	PUNCT
ejpam-4747	243	6	h(ϑ	h(ϑ	NOUN
ejpam-4747	243	7	)	)	PUNCT
ejpam-4747	243	8	)	)	PUNCT
ejpam-4747	244	1	=	=	SYM
ejpam-4747	244	2	∫	∫	PROPN
ejpam-4747	245	1	∞	∞	PROPN
ejpam-4747	245	2	0	0	NUM
ejpam-4747	246	1	ϑ	ϑ	PROPN
ejpam-4747	246	2	(	(	PUNCT
ejpam-4747	246	3	f	f	PROPN
ejpam-4747	246	4	′(ψ(ϑ	′(ψ(ϑ	X
ejpam-4747	246	5	)	)	PUNCT
ejpam-4747	246	6	t	t	NOUN
ejpam-4747	246	7	)	)	PUNCT
ejpam-4747	246	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	246	9	)	)	PUNCT
ejpam-4747	246	10	t	t	NOUN
ejpam-4747	246	11	)	)	PUNCT
ejpam-4747	246	12	t	t	PROPN
ejpam-4747	246	13	=	=	SYM
ejpam-4747	246	14	∫	∫	PROPN
ejpam-4747	246	15	∞	∞	PROPN
ejpam-4747	246	16	0	0	NUM
ejpam-4747	247	1	(	(	PUNCT
ejpam-4747	247	2	−t	−t	PROPN
ejpam-4747	247	3	f	f	PROPN
ejpam-4747	247	4	′(ψ(ϑ	′(ψ(ϑ	NOUN
ejpam-4747	247	5	)	)	PUNCT
ejpam-4747	247	6	t	t	NOUN
ejpam-4747	247	7	)	)	PUNCT
ejpam-4747	247	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	247	9	)	)	PUNCT
ejpam-4747	247	10	tσ′(ϑ	tσ′(ϑ	NOUN
ejpam-4747	247	11	)	)	PUNCT
ejpam-4747	248	1	+	+	NUM
ejpam-4747	248	2	f	f	PROPN
ejpam-4747	248	3	′(ψ(ϑ	′(ψ(ϑ	NOUN
ejpam-4747	248	4	)	)	PUNCT
ejpam-4747	248	5	t	t	NOUN
ejpam-4747	248	6	)	)	PUNCT
ejpam-4747	248	7	ϑ	ϑ	X
ejpam-4747	248	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	248	9	)	)	PUNCT
ejpam-4747	248	10	t	t	NOUN
ejpam-4747	248	11	)	)	PUNCT
ejpam-4747	248	12	t	t	PROPN
ejpam-4747	248	13	=	=	NUM
ejpam-4747	248	14	−	−	NUM
ejpam-4747	248	15	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	248	16	)	)	PUNCT
ejpam-4747	248	17	h(ϑ	h(ϑ	PROPN
ejpam-4747	248	18	)	)	PUNCT
ejpam-4747	248	19	h(ϑ	h(ϑ	PROPN
ejpam-4747	248	20	)	)	PUNCT
ejpam-4747	249	1	∫	∫	PROPN
ejpam-4747	250	1	∞	∞	PROPN
ejpam-4747	250	2	0	0	NUM
ejpam-4747	251	1	t	t	PROPN
ejpam-4747	251	2	f	f	PROPN
ejpam-4747	251	3	′(ψ(ϑ	′(ψ(ϑ	X
ejpam-4747	251	4	)	)	PUNCT
ejpam-4747	251	5	t	t	NOUN
ejpam-4747	251	6	)	)	PUNCT
ejpam-4747	251	7	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	251	8	)	)	PUNCT
ejpam-4747	251	9	tt+	tt+	NOUN
ejpam-4747	251	10	∫	∫	PROPN
ejpam-4747	251	11	∞	∞	PROPN
ejpam-4747	251	12	0	0	NUM
ejpam-4747	251	13	f	f	PROPN
ejpam-4747	251	14	′(ψ(ϑ	′(ψ(ϑ	NOUN
ejpam-4747	251	15	)	)	PUNCT
ejpam-4747	251	16	t	t	NOUN
ejpam-4747	251	17	)	)	PUNCT
ejpam-4747	251	18	ϑ	ϑ	X
ejpam-4747	251	19	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	251	20	)	)	PUNCT
ejpam-4747	251	21	tt	tt	PROPN
ejpam-4747	251	22	=	=	NOUN
ejpam-4747	251	23	−	−	NUM
ejpam-4747	251	24	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	251	25	)	)	PUNCT
ejpam-4747	251	26	h(ϑ	h(ϑ	PROPN
ejpam-4747	251	27	)	)	PUNCT
ejpam-4747	251	28	gn	gn	PROPN
ejpam-4747	252	1	[	[	X
ejpam-4747	252	2	t	t	X
ejpam-4747	252	3	f	f	PROPN
ejpam-4747	252	4	′(t	′(t	PROPN
ejpam-4747	252	5	)	)	PUNCT
ejpam-4747	252	6	]	]	PUNCT
ejpam-4747	253	1	+	+	CCONJ
ejpam-4747	253	2	∫	∫	PROPN
ejpam-4747	253	3	∞	∞	NUM
ejpam-4747	253	4	0	0	NUM
ejpam-4747	254	1	f	f	PROPN
ejpam-4747	254	2	′(ψ(ϑ	′(ψ(ϑ	NOUN
ejpam-4747	254	3	)	)	PUNCT
ejpam-4747	254	4	t	t	NOUN
ejpam-4747	254	5	)	)	PUNCT
ejpam-4747	254	6	ϑ	ϑ	PRON
ejpam-4747	254	7	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	254	8	)	)	PUNCT
ejpam-4747	254	9	tt	tt	NOUN
ejpam-4747	254	10	,	,	PUNCT
ejpam-4747	254	11	then	then	ADV
ejpam-4747	254	12	,	,	PUNCT
ejpam-4747	254	13	gn	gn	PROPN
ejpam-4747	255	1	[	[	X
ejpam-4747	255	2	t	t	X
ejpam-4747	255	3	f	f	PROPN
ejpam-4747	255	4	′(t	′(t	PROPN
ejpam-4747	255	5	)	)	PUNCT
ejpam-4747	255	6	]	]	PUNCT
ejpam-4747	256	1	=	=	PUNCT
ejpam-4747	256	2	−	−	PROPN
ejpam-4747	256	3	h(ϑ	h(ϑ	PROPN
ejpam-4747	256	4	)	)	PUNCT
ejpam-4747	256	5	σ′(ϑ	σ′(ϑ	X
ejpam-4747	256	6	)	)	PUNCT
ejpam-4747	256	7	(	(	PUNCT
ejpam-4747	256	8	ϑ	ϑ	X
ejpam-4747	256	9	(	(	PUNCT
ejpam-4747	256	10	gn	gn	PROPN
ejpam-4747	256	11	[	[	X
ejpam-4747	256	12	f	f	PROPN
ejpam-4747	256	13	′(t	′(t	PROPN
ejpam-4747	256	14	)	)	PUNCT
ejpam-4747	256	15	]	]	PUNCT
ejpam-4747	256	16	h(ϑ	h(ϑ	PROPN
ejpam-4747	256	17	)	)	PUNCT
ejpam-4747	256	18	)	)	PUNCT
ejpam-4747	256	19	)	)	PUNCT
ejpam-4747	257	1	+	+	CCONJ
ejpam-4747	257	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	257	3	)	)	PUNCT
ejpam-4747	257	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	257	5	)	)	PUNCT
ejpam-4747	257	6	∫	∫	PROPN
ejpam-4747	257	7	∞	∞	PROPN
ejpam-4747	257	8	0	0	NUM
ejpam-4747	258	1	f	f	PROPN
ejpam-4747	258	2	′(ψ(ϑ	′(ψ(ϑ	NOUN
ejpam-4747	258	3	)	)	PUNCT
ejpam-4747	258	4	t	t	NOUN
ejpam-4747	258	5	)	)	PUNCT
ejpam-4747	258	6	ϑ	ϑ	PRON
ejpam-4747	258	7	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	258	8	)	)	PUNCT
ejpam-4747	258	9	tt	tt	PROPN
ejpam-4747	258	10	.	.	PUNCT
ejpam-4747	259	1	(	(	PUNCT
ejpam-4747	259	2	22	22	NUM
ejpam-4747	259	3	)	)	PUNCT
ejpam-4747	259	4	we	we	PRON
ejpam-4747	259	5	can	can	AUX
ejpam-4747	259	6	prove	prove	VERB
ejpam-4747	259	7	the	the	DET
ejpam-4747	259	8	forms	form	NOUN
ejpam-4747	259	9	(	(	PUNCT
ejpam-4747	259	10	3.e	3.e	NUM
ejpam-4747	259	11	)	)	PUNCT
ejpam-4747	259	12	and	and	CCONJ
ejpam-4747	259	13	(	(	PUNCT
ejpam-4747	259	14	3.f	3.f	NUM
ejpam-4747	259	15	)	)	PUNCT
ejpam-4747	259	16	of	of	ADP
ejpam-4747	259	17	theorem	theorem	NOUN
ejpam-4747	259	18	(	(	PUNCT
ejpam-4747	259	19	3	3	NUM
ejpam-4747	259	20	)	)	PUNCT
ejpam-4747	259	21	in	in	ADP
ejpam-4747	259	22	similar	similar	ADJ
ejpam-4747	259	23	way	way	NOUN
ejpam-4747	259	24	.	.	PUNCT
ejpam-4747	260	1	theorem	theorem	ADJ
ejpam-4747	260	2	4	4	NUM
ejpam-4747	260	3	.	.	PUNCT
ejpam-4747	260	4	given	give	VERB
ejpam-4747	260	5	these	these	DET
ejpam-4747	260	6	functions	function	NOUN
ejpam-4747	260	7	h(ϑ	h(ϑ	PROPN
ejpam-4747	260	8	)	)	PUNCT
ejpam-4747	260	9	,	,	PUNCT
ejpam-4747	260	10	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	260	11	)	)	PUNCT
ejpam-4747	261	1	and	and	CCONJ
ejpam-4747	261	2	f	f	PROPN
ejpam-4747	261	3	(	(	PUNCT
ejpam-4747	261	4	t	t	PROPN
ejpam-4747	261	5	)	)	PUNCT
ejpam-4747	261	6	are	be	AUX
ejpam-4747	261	7	differentiable	differentiable	ADJ
ejpam-4747	261	8	(	(	PUNCT
ejpam-4747	261	9	σ′(ϑ	σ′(ϑ	ADJ
ejpam-4747	261	10	)	)	PUNCT
ejpam-4747	261	11	̸=	̸=	PROPN
ejpam-4747	261	12	0	0	NUM
ejpam-4747	261	13	)	)	PUNCT
ejpam-4747	261	14	,	,	PUNCT
ejpam-4747	261	15	then	then	ADV
ejpam-4747	261	16	we	we	PRON
ejpam-4747	261	17	can	can	AUX
ejpam-4747	261	18	prove	prove	VERB
ejpam-4747	261	19	gn	gn	PROPN
ejpam-4747	262	1	[	[	X
ejpam-4747	262	2	t2	t2	X
ejpam-4747	262	3	f	f	X
ejpam-4747	262	4	(	(	PUNCT
ejpam-4747	262	5	n)(t	n)(t	PROPN
ejpam-4747	262	6	)	)	PUNCT
ejpam-4747	262	7	]	]	PUNCT
ejpam-4747	262	8	=	=	SYM
ejpam-4747	262	9	h(ϑ	h(ϑ	PROPN
ejpam-4747	262	10	)	)	PUNCT
ejpam-4747	262	11	σ′(ϑ	σ′(ϑ	X
ejpam-4747	262	12	)	)	PUNCT
ejpam-4747	262	13	(	(	PUNCT
ejpam-4747	262	14	ϑ	ϑ	X
ejpam-4747	262	15	(	(	PUNCT
ejpam-4747	262	16	1	1	NUM
ejpam-4747	262	17	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	262	18	)	)	PUNCT
ejpam-4747	262	19	(	(	PUNCT
ejpam-4747	262	20	ϑ	ϑ	X
ejpam-4747	262	21	(	(	PUNCT
ejpam-4747	262	22	gn	gn	PROPN
ejpam-4747	262	23	[	[	X
ejpam-4747	262	24	f	f	X
ejpam-4747	262	25	(	(	PUNCT
ejpam-4747	262	26	n	n	CCONJ
ejpam-4747	262	27	)	)	PUNCT
ejpam-4747	262	28	]	]	PUNCT
ejpam-4747	262	29	h(ϑ	h(ϑ	PROPN
ejpam-4747	262	30	)	)	PUNCT
ejpam-4747	262	31	)	)	PUNCT
ejpam-4747	262	32	)	)	PUNCT
ejpam-4747	262	33	)	)	PUNCT
ejpam-4747	262	34	)	)	PUNCT
ejpam-4747	263	1	+	+	CCONJ
ejpam-4747	263	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	263	3	)	)	PUNCT
ejpam-4747	263	4	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	263	5	)	)	PUNCT
ejpam-4747	263	6	×	×	NOUN
ejpam-4747	263	7	(	(	PUNCT
ejpam-4747	263	8	ϑ	ϑ	X
ejpam-4747	263	9	(	(	PUNCT
ejpam-4747	263	10	1	1	NUM
ejpam-4747	263	11	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	263	12	)	)	PUNCT
ejpam-4747	263	13	(	(	PUNCT
ejpam-4747	263	14	∫	∫	PROPN
ejpam-4747	263	15	∞	∞	PROPN
ejpam-4747	263	16	0	0	NUM
ejpam-4747	264	1	f	f	PROPN
ejpam-4747	264	2	(	(	PUNCT
ejpam-4747	264	3	n)(ψ(ϑ	n)(ψ(ϑ	PROPN
ejpam-4747	264	4	)	)	PUNCT
ejpam-4747	264	5	t	t	NOUN
ejpam-4747	264	6	)	)	PUNCT
ejpam-4747	264	7	ϑ	ϑ	PRON
ejpam-4747	264	8	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	264	9	)	)	PUNCT
ejpam-4747	264	10	tt	tt	PROPN
ejpam-4747	264	11	)	)	PUNCT
ejpam-4747	264	12	)	)	PUNCT
ejpam-4747	264	13	)	)	PUNCT
ejpam-4747	265	1	+	+	CCONJ
ejpam-4747	265	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	265	3	)	)	PUNCT
ejpam-4747	265	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	265	5	)	)	PUNCT
ejpam-4747	265	6	∫	∫	PROPN
ejpam-4747	265	7	∞	∞	PROPN
ejpam-4747	265	8	0	0	NUM
ejpam-4747	266	1	t	t	PROPN
ejpam-4747	266	2	f	f	PROPN
ejpam-4747	266	3	(	(	PUNCT
ejpam-4747	266	4	n)(ψ(ϑ	n)(ψ(ϑ	PROPN
ejpam-4747	266	5	)	)	PUNCT
ejpam-4747	266	6	t	t	NOUN
ejpam-4747	266	7	)	)	PUNCT
ejpam-4747	266	8	ϑ	ϑ	PRON
ejpam-4747	266	9	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	266	10	)	)	PUNCT
ejpam-4747	266	11	tt	tt	PROPN
ejpam-4747	266	12	.	.	PUNCT
ejpam-4747	267	1	(	(	PUNCT
ejpam-4747	267	2	23	23	X
ejpam-4747	267	3	)	)	PUNCT
ejpam-4747	267	4	proof	proof	NOUN
ejpam-4747	267	5	.	.	PUNCT
ejpam-4747	268	1	recall	recall	VERB
ejpam-4747	268	2	the	the	DET
ejpam-4747	268	3	general	general	ADJ
ejpam-4747	268	4	form	form	NOUN
ejpam-4747	268	5	(	(	PUNCT
ejpam-4747	268	6	3.f	3.f	NUM
ejpam-4747	268	7	)	)	PUNCT
ejpam-4747	268	8	of	of	ADP
ejpam-4747	268	9	theorem	theorem	NOUN
ejpam-4747	268	10	(	(	PUNCT
ejpam-4747	268	11	3	3	NUM
ejpam-4747	268	12	)	)	PUNCT
ejpam-4747	268	13	,	,	PUNCT
ejpam-4747	268	14	gn	gn	PROPN
ejpam-4747	269	1	[	[	X
ejpam-4747	269	2	t	t	X
ejpam-4747	269	3	f	f	X
ejpam-4747	269	4	(	(	PUNCT
ejpam-4747	269	5	n)(t	n)(t	PROPN
ejpam-4747	269	6	)	)	PUNCT
ejpam-4747	269	7	]	]	PUNCT
ejpam-4747	269	8	=	=	SYM
ejpam-4747	269	9	h(ϑ	h(ϑ	PROPN
ejpam-4747	269	10	)	)	PUNCT
ejpam-4747	269	11	∫	∫	PROPN
ejpam-4747	270	1	∞	∞	PROPN
ejpam-4747	270	2	0	0	NUM
ejpam-4747	271	1	t	t	PROPN
ejpam-4747	271	2	f	f	X
ejpam-4747	271	3	(	(	PUNCT
ejpam-4747	271	4	n)(ψ(ϑt))e−σ(ϑ)tt	n)(ψ(ϑt))e−σ(ϑ)tt	NOUN
ejpam-4747	271	5	=	=	SYM
ejpam-4747	271	6	−	−	NOUN
ejpam-4747	271	7	h	h	NOUN
ejpam-4747	271	8	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	271	9	)	)	PUNCT
ejpam-4747	271	10	(	(	PUNCT
ejpam-4747	271	11	ϑ	ϑ	X
ejpam-4747	271	12	(	(	PUNCT
ejpam-4747	271	13	gn	gn	PROPN
ejpam-4747	271	14	[	[	X
ejpam-4747	271	15	f	f	X
ejpam-4747	271	16	(	(	PUNCT
ejpam-4747	271	17	n)(t	n)(t	PROPN
ejpam-4747	271	18	)	)	PUNCT
ejpam-4747	271	19	]	]	PUNCT
ejpam-4747	271	20	h(ϑ	h(ϑ	PROPN
ejpam-4747	271	21	)	)	PUNCT
ejpam-4747	271	22	)	)	PUNCT
ejpam-4747	271	23	)	)	PUNCT
ejpam-4747	272	1	+	+	CCONJ
ejpam-4747	272	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	272	3	)	)	PUNCT
ejpam-4747	272	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	272	5	)	)	PUNCT
ejpam-4747	272	6	∫	∫	PROPN
ejpam-4747	272	7	∞	∞	PROPN
ejpam-4747	272	8	0	0	NUM
ejpam-4747	273	1	ϑ	ϑ	X
ejpam-4747	273	2	(	(	PUNCT
ejpam-4747	273	3	f	f	X
ejpam-4747	273	4	(	(	PUNCT
ejpam-4747	273	5	n)(ψ(ϑ)t))e−σ(ϑ)tt	n)(ψ(ϑ)t))e−σ(ϑ)tt	PROPN
ejpam-4747	273	6	,	,	PUNCT
ejpam-4747	273	7	(	(	PUNCT
ejpam-4747	273	8	24	24	NUM
ejpam-4747	273	9	)	)	PUNCT
ejpam-4747	273	10	j.i	j.i	PROPN
ejpam-4747	273	11	.	.	PROPN
ejpam-4747	273	12	mustafa	mustafa	PROPN
ejpam-4747	273	13	/	/	SYM
ejpam-4747	273	14	eur	eur	PROPN
ejpam-4747	273	15	.	.	PUNCT
ejpam-4747	274	1	j.	j.	PROPN
ejpam-4747	274	2	pure	pure	PROPN
ejpam-4747	274	3	appl	appl	PROPN
ejpam-4747	274	4	.	.	PROPN
ejpam-4747	274	5	math	math	PROPN
ejpam-4747	274	6	,	,	PUNCT
ejpam-4747	274	7	16	16	NUM
ejpam-4747	274	8	(	(	PUNCT
ejpam-4747	274	9	2	2	NUM
ejpam-4747	274	10	)	)	PUNCT
ejpam-4747	274	11	(	(	PUNCT
ejpam-4747	274	12	2023	2023	NUM
ejpam-4747	274	13	)	)	PUNCT
ejpam-4747	274	14	,	,	PUNCT
ejpam-4747	274	15	1024	1024	NUM
ejpam-4747	274	16	-	-	SYM
ejpam-4747	274	17	1046	1046	NUM
ejpam-4747	274	18	1032	1032	NUM
ejpam-4747	274	19	derive	derive	VERB
ejpam-4747	274	20	both	both	DET
ejpam-4747	274	21	sides	side	NOUN
ejpam-4747	274	22	of	of	ADP
ejpam-4747	274	23	(	(	PUNCT
ejpam-4747	274	24	24	24	NUM
ejpam-4747	274	25	)	)	PUNCT
ejpam-4747	274	26	with	with	ADP
ejpam-4747	274	27	respect	respect	NOUN
ejpam-4747	274	28	to	to	ADP
ejpam-4747	274	29	ϑ	ϑ	PRON
ejpam-4747	274	30	,	,	PUNCT
ejpam-4747	274	31	to	to	ADP
ejpam-4747	274	32	obtain,∫	obtain,∫	PROPN
ejpam-4747	275	1	∞	∞	PROPN
ejpam-4747	275	2	0	0	NUM
ejpam-4747	275	3	t2	t2	PROPN
ejpam-4747	275	4	f	f	PROPN
ejpam-4747	275	5	(	(	PUNCT
ejpam-4747	275	6	n)(ψ(ϑ	n)(ψ(ϑ	PROPN
ejpam-4747	275	7	)	)	PUNCT
ejpam-4747	275	8	t	t	NOUN
ejpam-4747	275	9	)	)	PUNCT
ejpam-4747	275	10	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	275	11	)	)	PUNCT
ejpam-4747	275	12	t(−σ′)t+	t(−σ′)t+	VERB
ejpam-4747	275	13	∫	∫	PROPN
ejpam-4747	275	14	∞	∞	NUM
ejpam-4747	275	15	0	0	PUNCT
ejpam-4747	276	1	t	t	PROPN
ejpam-4747	276	2	ϑ	ϑ	X
ejpam-4747	276	3	(	(	PUNCT
ejpam-4747	276	4	f	f	PROPN
ejpam-4747	276	5	(	(	PUNCT
ejpam-4747	276	6	n)(ψ(ϑ	n)(ψ(ϑ	PROPN
ejpam-4747	276	7	)	)	PUNCT
ejpam-4747	276	8	t	t	PROPN
ejpam-4747	276	9	)	)	PUNCT
ejpam-4747	276	10	)	)	PUNCT
ejpam-4747	277	1	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	277	2	)	)	PUNCT
ejpam-4747	277	3	tt	tt	PROPN
ejpam-4747	278	1	=	=	PUNCT
ejpam-4747	278	2	−	−	PROPN
ejpam-4747	278	3	ϑ	ϑ	X
ejpam-4747	278	4	(	(	PUNCT
ejpam-4747	278	5	h	h	NOUN
ejpam-4747	278	6	σ′(ϑ	σ′(ϑ	PROPN
ejpam-4747	278	7	)	)	PUNCT
ejpam-4747	278	8	(	(	PUNCT
ejpam-4747	278	9	ϑ	ϑ	X
ejpam-4747	278	10	(	(	PUNCT
ejpam-4747	278	11	gn	gn	PROPN
ejpam-4747	279	1	[	[	X
ejpam-4747	279	2	f	f	X
ejpam-4747	279	3	(	(	PUNCT
ejpam-4747	279	4	n)(t	n)(t	PROPN
ejpam-4747	279	5	)	)	PUNCT
ejpam-4747	279	6	]	]	PUNCT
ejpam-4747	279	7	1	1	NUM
ejpam-4747	279	8	)	)	PUNCT
ejpam-4747	279	9	)	)	PUNCT
ejpam-4747	279	10	)	)	PUNCT
ejpam-4747	279	11	+	+	CCONJ
ejpam-4747	279	12	ϑ	ϑ	X
ejpam-4747	279	13	(	(	PUNCT
ejpam-4747	279	14	1	1	NUM
ejpam-4747	279	15	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	279	16	)	)	PUNCT
ejpam-4747	279	17	(	(	PUNCT
ejpam-4747	279	18	∫	∫	PROPN
ejpam-4747	279	19	∞	∞	PROPN
ejpam-4747	279	20	0	0	NUM
ejpam-4747	279	21	ϑ	ϑ	X
ejpam-4747	279	22	(	(	PUNCT
ejpam-4747	279	23	f	f	X
ejpam-4747	279	24	(	(	PUNCT
ejpam-4747	279	25	n)(ψ(ϑ)t))e−σ(ϑ)tt	n)(ψ(ϑ)t))e−σ(ϑ)tt	NUM
ejpam-4747	279	26	)	)	PUNCT
ejpam-4747	279	27	)	)	PUNCT
ejpam-4747	279	28	,	,	PUNCT
ejpam-4747	279	29	(	(	PUNCT
ejpam-4747	279	30	25	25	NUM
ejpam-4747	279	31	)	)	PUNCT
ejpam-4747	279	32	thus	thus	ADV
ejpam-4747	279	33	,	,	PUNCT
ejpam-4747	279	34	simplifying	simplify	VERB
ejpam-4747	279	35	more	more	ADJ
ejpam-4747	279	36	,	,	PUNCT
ejpam-4747	279	37	we	we	PRON
ejpam-4747	279	38	prove	prove	VERB
ejpam-4747	279	39	theorem	theorem	ADJ
ejpam-4747	279	40	(	(	PUNCT
ejpam-4747	279	41	4	4	NUM
ejpam-4747	279	42	)	)	PUNCT
ejpam-4747	279	43	as	as	SCONJ
ejpam-4747	279	44	follows	follow	VERB
ejpam-4747	279	45	:	:	PUNCT
ejpam-4747	279	46	σ′(ϑ	σ′(ϑ	ADJ
ejpam-4747	279	47	)	)	PUNCT
ejpam-4747	279	48	h(ϑ	h(ϑ	PROPN
ejpam-4747	279	49	)	)	PUNCT
ejpam-4747	279	50	gn	gn	PROPN
ejpam-4747	280	1	[	[	X
ejpam-4747	280	2	t2	t2	X
ejpam-4747	280	3	f	f	X
ejpam-4747	280	4	(	(	PUNCT
ejpam-4747	280	5	n)(t	n)(t	PROPN
ejpam-4747	280	6	)	)	PUNCT
ejpam-4747	280	7	]	]	PUNCT
ejpam-4747	280	8	=	=	SYM
ejpam-4747	280	9	ϑ	ϑ	X
ejpam-4747	280	10	(	(	PUNCT
ejpam-4747	280	11	h	h	NOUN
ejpam-4747	280	12	σ′(ϑ	σ′(ϑ	PROPN
ejpam-4747	280	13	)	)	PUNCT
ejpam-4747	280	14	(	(	PUNCT
ejpam-4747	280	15	ϑ	ϑ	X
ejpam-4747	280	16	(	(	PUNCT
ejpam-4747	280	17	gn	gn	PROPN
ejpam-4747	280	18	[	[	X
ejpam-4747	280	19	f	f	X
ejpam-4747	280	20	(	(	PUNCT
ejpam-4747	280	21	n)(t	n)(t	PROPN
ejpam-4747	280	22	)	)	PUNCT
ejpam-4747	280	23	]	]	PUNCT
ejpam-4747	280	24	1	1	NUM
ejpam-4747	280	25	)	)	PUNCT
ejpam-4747	280	26	)	)	PUNCT
ejpam-4747	280	27	)	)	PUNCT
ejpam-4747	281	1	−	−	PROPN
ejpam-4747	281	2	ϑ	ϑ	X
ejpam-4747	281	3	(	(	PUNCT
ejpam-4747	281	4	1	1	NUM
ejpam-4747	281	5	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	281	6	)	)	PUNCT
ejpam-4747	281	7	(	(	PUNCT
ejpam-4747	281	8	∫	∫	PROPN
ejpam-4747	281	9	∞	∞	PROPN
ejpam-4747	281	10	0	0	NUM
ejpam-4747	281	11	ϑ	ϑ	X
ejpam-4747	281	12	(	(	PUNCT
ejpam-4747	281	13	f	f	PROPN
ejpam-4747	281	14	(	(	PUNCT
ejpam-4747	281	15	n)(ψ(ϑ	n)(ψ(ϑ	PROPN
ejpam-4747	281	16	)	)	PUNCT
ejpam-4747	281	17	t	t	PROPN
ejpam-4747	281	18	)	)	PUNCT
ejpam-4747	281	19	)	)	PUNCT
ejpam-4747	281	20	e−σ(ϑ)tt	e−σ(ϑ)tt	PROPN
ejpam-4747	281	21	)	)	PUNCT
ejpam-4747	281	22	)	)	PUNCT
ejpam-4747	281	23	.	.	PUNCT
ejpam-4747	282	1	(	(	PUNCT
ejpam-4747	282	2	26	26	NUM
ejpam-4747	282	3	)	)	PUNCT
ejpam-4747	282	4	theorem	theorem	NOUN
ejpam-4747	282	5	5	5	NUM
ejpam-4747	282	6	.	.	PUNCT
ejpam-4747	283	1	let	let	VERB
ejpam-4747	283	2	h(ϑ	h(ϑ	PROPN
ejpam-4747	283	3	)	)	PUNCT
ejpam-4747	283	4	and	and	CCONJ
ejpam-4747	283	5	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	283	6	)	)	PUNCT
ejpam-4747	283	7	and	and	CCONJ
ejpam-4747	283	8	f	f	PROPN
ejpam-4747	283	9	(	(	PUNCT
ejpam-4747	283	10	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	283	11	)	)	PUNCT
ejpam-4747	283	12	t	t	PROPN
ejpam-4747	283	13	)	)	PUNCT
ejpam-4747	283	14	)	)	PUNCT
ejpam-4747	283	15	are	be	AUX
ejpam-4747	283	16	differentiable	differentiable	ADJ
ejpam-4747	283	17	(	(	PUNCT
ejpam-4747	283	18	σ′(ϑ	σ′(ϑ	ADJ
ejpam-4747	283	19	)	)	PUNCT
ejpam-4747	283	20	̸=	̸=	PROPN
ejpam-4747	283	21	0	0	NUM
ejpam-4747	283	22	)	)	PUNCT
ejpam-4747	283	23	,	,	PUNCT
ejpam-4747	283	24	then	then	ADV
ejpam-4747	283	25	,	,	PUNCT
ejpam-4747	283	26	(	(	PUNCT
ejpam-4747	283	27	5.a	5.a	NUM
ejpam-4747	283	28	)	)	PUNCT
ejpam-4747	283	29	gn	gn	PROPN
ejpam-4747	284	1	[	[	X
ejpam-4747	284	2	tn	tn	X
ejpam-4747	284	3	f	f	PROPN
ejpam-4747	284	4	′(t	′(t	PROPN
ejpam-4747	284	5	)	)	PUNCT
ejpam-4747	284	6	]	]	PUNCT
ejpam-4747	285	1	=	=	PUNCT
ejpam-4747	285	2	(	(	PUNCT
ejpam-4747	285	3	−1)n	−1)n	PROPN
ejpam-4747	285	4	h(ϑ	h(ϑ	PROPN
ejpam-4747	285	5	)	)	PUNCT
ejpam-4747	285	6	σ′(ϑ	σ′(ϑ	X
ejpam-4747	285	7	)	)	PUNCT
ejpam-4747	285	8	[	[	PUNCT
ejpam-4747	285	9	ϑ	ϑ	X
ejpam-4747	285	10	(	(	PUNCT
ejpam-4747	285	11	1	1	NUM
ejpam-4747	285	12	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	285	13	)	)	PUNCT
ejpam-4747	285	14	(	(	PUNCT
ejpam-4747	285	15	ϑ	ϑ	X
ejpam-4747	285	16	(	(	PUNCT
ejpam-4747	285	17	1	1	NUM
ejpam-4747	285	18	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	285	19	)	)	PUNCT
ejpam-4747	285	20	.	.	PUNCT
ejpam-4747	285	21	.	.	PUNCT
ejpam-4747	286	1	.︸	.︸	PROPN
ejpam-4747	286	2	︷︷	︷︷	PROPN
ejpam-4747	286	3	︸	︸	NOUN
ejpam-4747	286	4	n−1	n−1	PROPN
ejpam-4747	286	5	times	time	NOUN
ejpam-4747	286	6	(	(	PUNCT
ejpam-4747	286	7	ϑ	ϑ	X
ejpam-4747	286	8	(	(	PUNCT
ejpam-4747	286	9	gn	gn	PROPN
ejpam-4747	286	10	[	[	X
ejpam-4747	286	11	f	f	PROPN
ejpam-4747	286	12	′(t	′(t	PROPN
ejpam-4747	286	13	)	)	PUNCT
ejpam-4747	286	14	]	]	PUNCT
ejpam-4747	287	1	h(ϑ	h(ϑ	PROPN
ejpam-4747	287	2	)	)	PUNCT
ejpam-4747	287	3	)	)	PUNCT
ejpam-4747	287	4	)	)	PUNCT
ejpam-4747	287	5	)	)	PUNCT
ejpam-4747	287	6	)	)	PUNCT
ejpam-4747	287	7	)	)	PUNCT
ejpam-4747	287	8	]	]	PUNCT
ejpam-4747	288	1	+	+	CCONJ
ejpam-4747	288	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	288	3	)	)	PUNCT
ejpam-4747	288	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	288	5	)	)	PUNCT
ejpam-4747	288	6	n−1∑	n−1∑	PROPN
ejpam-4747	288	7	k=0	k=0	PROPN
ejpam-4747	288	8	(	(	PUNCT
ejpam-4747	288	9	−1)k	−1)k	PROPN
ejpam-4747	288	10	[	[	PUNCT
ejpam-4747	288	11	ϑ	ϑ	X
ejpam-4747	288	12	(	(	PUNCT
ejpam-4747	288	13	1	1	NUM
ejpam-4747	288	14	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	288	15	)	)	PUNCT
ejpam-4747	288	16	(	(	PUNCT
ejpam-4747	288	17	ϑ	ϑ	X
ejpam-4747	288	18	(	(	PUNCT
ejpam-4747	288	19	1	1	NUM
ejpam-4747	288	20	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	288	21	)	)	PUNCT
ejpam-4747	288	22	.	.	PUNCT
ejpam-4747	288	23	.	.	PUNCT
ejpam-4747	289	1	.︸	.︸	PROPN
ejpam-4747	289	2	︷︷	︷︷	PROPN
ejpam-4747	289	3	︸	︸	X
ejpam-4747	290	1	k	k	PROPN
ejpam-4747	290	2	times	times	PROPN
ejpam-4747	290	3	×	×	PROPN
ejpam-4747	290	4	(	(	PUNCT
ejpam-4747	290	5	∫	∫	PROPN
ejpam-4747	290	6	∞	∞	PROPN
ejpam-4747	290	7	0	0	NUM
ejpam-4747	291	1	(	(	PUNCT
ejpam-4747	291	2	t)n−k−1	t)n−k−1	PROPN
ejpam-4747	291	3	ϑ	ϑ	X
ejpam-4747	291	4	(	(	PUNCT
ejpam-4747	291	5	f	f	NOUN
ejpam-4747	291	6	′(ψ(ϑ)t	′(ψ(ϑ)t	NUM
ejpam-4747	291	7	)	)	PUNCT
ejpam-4747	291	8	)	)	PUNCT
ejpam-4747	291	9	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	291	10	)	)	PUNCT
ejpam-4747	291	11	tt	tt	PROPN
ejpam-4747	291	12	)	)	PUNCT
ejpam-4747	291	13	)	)	PUNCT
ejpam-4747	291	14	)	)	PUNCT
ejpam-4747	291	15	)	)	PUNCT
ejpam-4747	291	16	]	]	PUNCT
ejpam-4747	291	17	.	.	PUNCT
ejpam-4747	292	1	(	(	PUNCT
ejpam-4747	292	2	27	27	NUM
ejpam-4747	292	3	)	)	PUNCT
ejpam-4747	292	4	(	(	PUNCT
ejpam-4747	292	5	5.b	5.b	NUM
ejpam-4747	292	6	)	)	PUNCT
ejpam-4747	292	7	gn	gn	PROPN
ejpam-4747	293	1	[	[	X
ejpam-4747	293	2	tn	tn	X
ejpam-4747	293	3	f	f	PROPN
ejpam-4747	293	4	′′(t	′′(t	PROPN
ejpam-4747	293	5	)	)	PUNCT
ejpam-4747	293	6	]	]	PUNCT
ejpam-4747	294	1	=	=	PUNCT
ejpam-4747	294	2	(	(	PUNCT
ejpam-4747	294	3	−1)n	−1)n	PROPN
ejpam-4747	294	4	h(ϑ	h(ϑ	PROPN
ejpam-4747	294	5	)	)	PUNCT
ejpam-4747	294	6	σ′(ϑ	σ′(ϑ	X
ejpam-4747	294	7	)	)	PUNCT
ejpam-4747	294	8	[	[	PUNCT
ejpam-4747	294	9	ϑ	ϑ	X
ejpam-4747	294	10	(	(	PUNCT
ejpam-4747	294	11	1	1	NUM
ejpam-4747	294	12	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	294	13	)	)	PUNCT
ejpam-4747	294	14	(	(	PUNCT
ejpam-4747	294	15	ϑ	ϑ	X
ejpam-4747	294	16	(	(	PUNCT
ejpam-4747	294	17	1	1	NUM
ejpam-4747	294	18	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	294	19	)	)	PUNCT
ejpam-4747	294	20	.	.	PUNCT
ejpam-4747	294	21	.	.	PUNCT
ejpam-4747	295	1	.︸	.︸	PROPN
ejpam-4747	295	2	︷︷	︷︷	PROPN
ejpam-4747	295	3	︸	︸	NOUN
ejpam-4747	295	4	n−1	n−1	PROPN
ejpam-4747	295	5	times	time	NOUN
ejpam-4747	295	6	(	(	PUNCT
ejpam-4747	295	7	ϑ	ϑ	X
ejpam-4747	295	8	(	(	PUNCT
ejpam-4747	295	9	gn	gn	PROPN
ejpam-4747	296	1	[	[	X
ejpam-4747	296	2	f	f	X
ejpam-4747	296	3	′′(t	′′(t	PROPN
ejpam-4747	296	4	)	)	PUNCT
ejpam-4747	296	5	]	]	PUNCT
ejpam-4747	297	1	h(ϑ	h(ϑ	PROPN
ejpam-4747	297	2	)	)	PUNCT
ejpam-4747	297	3	)	)	PUNCT
ejpam-4747	297	4	)	)	PUNCT
ejpam-4747	297	5	)	)	PUNCT
ejpam-4747	297	6	)	)	PUNCT
ejpam-4747	297	7	)	)	PUNCT
ejpam-4747	297	8	]	]	PUNCT
ejpam-4747	298	1	+	+	CCONJ
ejpam-4747	298	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	298	3	)	)	PUNCT
ejpam-4747	298	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	298	5	)	)	PUNCT
ejpam-4747	298	6	n−1∑	n−1∑	PROPN
ejpam-4747	298	7	k=0	k=0	PROPN
ejpam-4747	298	8	(	(	PUNCT
ejpam-4747	298	9	−1)k	−1)k	PROPN
ejpam-4747	298	10	[	[	PUNCT
ejpam-4747	298	11	ϑ	ϑ	X
ejpam-4747	298	12	(	(	PUNCT
ejpam-4747	298	13	1	1	NUM
ejpam-4747	298	14	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	298	15	)	)	PUNCT
ejpam-4747	298	16	(	(	PUNCT
ejpam-4747	298	17	ϑ	ϑ	X
ejpam-4747	298	18	(	(	PUNCT
ejpam-4747	298	19	1	1	NUM
ejpam-4747	298	20	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	298	21	)	)	PUNCT
ejpam-4747	298	22	.	.	PUNCT
ejpam-4747	298	23	.	.	PUNCT
ejpam-4747	299	1	.︸	.︸	PROPN
ejpam-4747	299	2	︷︷	︷︷	PROPN
ejpam-4747	299	3	︸	︸	X
ejpam-4747	300	1	k	k	PROPN
ejpam-4747	300	2	times	times	PROPN
ejpam-4747	300	3	×	×	PROPN
ejpam-4747	300	4	(	(	PUNCT
ejpam-4747	300	5	∫	∫	PROPN
ejpam-4747	300	6	∞	∞	PROPN
ejpam-4747	300	7	0	0	NUM
ejpam-4747	301	1	(	(	PUNCT
ejpam-4747	301	2	t)n−k−1	t)n−k−1	PROPN
ejpam-4747	301	3	ϑ	ϑ	X
ejpam-4747	301	4	(	(	PUNCT
ejpam-4747	301	5	f	f	PROPN
ejpam-4747	301	6	′′(ψ(ϑ)t	′′(ψ(ϑ)t	PROPN
ejpam-4747	301	7	)	)	PUNCT
ejpam-4747	301	8	)	)	PUNCT
ejpam-4747	301	9	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	301	10	)	)	PUNCT
ejpam-4747	301	11	tt	tt	PROPN
ejpam-4747	301	12	)	)	PUNCT
ejpam-4747	301	13	)	)	PUNCT
ejpam-4747	301	14	)	)	PUNCT
ejpam-4747	301	15	)	)	PUNCT
ejpam-4747	301	16	]	]	PUNCT
ejpam-4747	301	17	.	.	PUNCT
ejpam-4747	302	1	(	(	PUNCT
ejpam-4747	302	2	28	28	NUM
ejpam-4747	302	3	)	)	PUNCT
ejpam-4747	302	4	j.i	j.i	PROPN
ejpam-4747	302	5	.	.	PROPN
ejpam-4747	302	6	mustafa	mustafa	PROPN
ejpam-4747	302	7	/	/	SYM
ejpam-4747	302	8	eur	eur	PROPN
ejpam-4747	302	9	.	.	PUNCT
ejpam-4747	303	1	j.	j.	PROPN
ejpam-4747	303	2	pure	pure	PROPN
ejpam-4747	303	3	appl	appl	PROPN
ejpam-4747	303	4	.	.	PROPN
ejpam-4747	303	5	math	math	PROPN
ejpam-4747	303	6	,	,	PUNCT
ejpam-4747	303	7	16	16	NUM
ejpam-4747	303	8	(	(	PUNCT
ejpam-4747	303	9	2	2	NUM
ejpam-4747	303	10	)	)	PUNCT
ejpam-4747	303	11	(	(	PUNCT
ejpam-4747	303	12	2023	2023	NUM
ejpam-4747	303	13	)	)	PUNCT
ejpam-4747	303	14	,	,	PUNCT
ejpam-4747	303	15	1024	1024	NUM
ejpam-4747	303	16	-	-	SYM
ejpam-4747	303	17	1046	1046	NUM
ejpam-4747	303	18	1033	1033	NUM
ejpam-4747	303	19	(	(	PUNCT
ejpam-4747	303	20	5.c	5.c	NUM
ejpam-4747	303	21	)	)	PUNCT
ejpam-4747	303	22	gn	gn	PROPN
ejpam-4747	304	1	[	[	X
ejpam-4747	304	2	tn	tn	X
ejpam-4747	304	3	f	f	X
ejpam-4747	304	4	(	(	PUNCT
ejpam-4747	304	5	m)(t	m)(t	PROPN
ejpam-4747	304	6	)	)	PUNCT
ejpam-4747	304	7	]	]	PUNCT
ejpam-4747	305	1	=	=	SYM
ejpam-4747	305	2	(	(	PUNCT
ejpam-4747	305	3	−1)n	−1)n	PROPN
ejpam-4747	305	4	h(ϑ	h(ϑ	PROPN
ejpam-4747	305	5	)	)	PUNCT
ejpam-4747	305	6	σ′(ϑ	σ′(ϑ	X
ejpam-4747	305	7	)	)	PUNCT
ejpam-4747	305	8	[	[	PUNCT
ejpam-4747	305	9	ϑ	ϑ	X
ejpam-4747	305	10	(	(	PUNCT
ejpam-4747	305	11	1	1	NUM
ejpam-4747	305	12	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	305	13	)	)	PUNCT
ejpam-4747	305	14	(	(	PUNCT
ejpam-4747	305	15	ϑ	ϑ	X
ejpam-4747	305	16	(	(	PUNCT
ejpam-4747	305	17	1	1	NUM
ejpam-4747	305	18	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	305	19	)	)	PUNCT
ejpam-4747	305	20	.	.	PUNCT
ejpam-4747	305	21	.	.	PUNCT
ejpam-4747	306	1	.︸	.︸	PROPN
ejpam-4747	306	2	︷︷	︷︷	PROPN
ejpam-4747	306	3	︸	︸	NOUN
ejpam-4747	306	4	n−1	n−1	PROPN
ejpam-4747	306	5	times	time	NOUN
ejpam-4747	306	6	(	(	PUNCT
ejpam-4747	306	7	ϑ	ϑ	X
ejpam-4747	306	8	(	(	PUNCT
ejpam-4747	306	9	gn	gn	PROPN
ejpam-4747	306	10	[	[	X
ejpam-4747	306	11	f	f	X
ejpam-4747	306	12	(	(	PUNCT
ejpam-4747	306	13	m)(t	m)(t	PROPN
ejpam-4747	306	14	)	)	PUNCT
ejpam-4747	306	15	]	]	X
ejpam-4747	306	16	h(ϑ	h(ϑ	PROPN
ejpam-4747	306	17	)	)	PUNCT
ejpam-4747	306	18	)	)	PUNCT
ejpam-4747	306	19	)	)	PUNCT
ejpam-4747	306	20	)	)	PUNCT
ejpam-4747	306	21	)	)	PUNCT
ejpam-4747	306	22	)	)	PUNCT
ejpam-4747	306	23	]	]	PUNCT
ejpam-4747	307	1	+	+	CCONJ
ejpam-4747	307	2	h(ϑ	h(ϑ	NOUN
ejpam-4747	307	3	)	)	PUNCT
ejpam-4747	307	4	σ′(ϑ	σ′(ϑ	X
ejpam-4747	307	5	)	)	PUNCT
ejpam-4747	307	6	n−1∑	n−1∑	PROPN
ejpam-4747	307	7	k=0	k=0	PROPN
ejpam-4747	307	8	(	(	PUNCT
ejpam-4747	307	9	−1)k	−1)k	PROPN
ejpam-4747	307	10	[	[	PUNCT
ejpam-4747	307	11	ϑ	ϑ	X
ejpam-4747	307	12	(	(	PUNCT
ejpam-4747	307	13	1	1	NUM
ejpam-4747	307	14	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	307	15	)	)	PUNCT
ejpam-4747	307	16	(	(	PUNCT
ejpam-4747	307	17	ϑ	ϑ	X
ejpam-4747	307	18	(	(	PUNCT
ejpam-4747	307	19	1	1	NUM
ejpam-4747	307	20	σ′(ϑ	σ′(ϑ	NOUN
ejpam-4747	307	21	)	)	PUNCT
ejpam-4747	307	22	.	.	PUNCT
ejpam-4747	307	23	.	.	PUNCT
ejpam-4747	308	1	.︸	.︸	PROPN
ejpam-4747	308	2	︷︷	︷︷	PROPN
ejpam-4747	308	3	︸	︸	X
ejpam-4747	309	1	k	k	PROPN
ejpam-4747	309	2	times	times	PROPN
ejpam-4747	309	3	×	×	PROPN
ejpam-4747	309	4	(	(	PUNCT
ejpam-4747	309	5	∫	∫	PROPN
ejpam-4747	309	6	∞	∞	PROPN
ejpam-4747	309	7	0	0	NUM
ejpam-4747	310	1	(	(	PUNCT
ejpam-4747	310	2	t)n−k−1	t)n−k−1	PROPN
ejpam-4747	310	3	ϑ	ϑ	X
ejpam-4747	310	4	(	(	PUNCT
ejpam-4747	310	5	f	f	X
ejpam-4747	310	6	(	(	PUNCT
ejpam-4747	310	7	m)(ψ(ϑ)t	m)(ψ(ϑ)t	NOUN
ejpam-4747	310	8	)	)	PUNCT
ejpam-4747	310	9	)	)	PUNCT
ejpam-4747	310	10	e−σ(ϑ	e−σ(ϑ	NOUN
ejpam-4747	310	11	)	)	PUNCT
ejpam-4747	310	12	tt	tt	PROPN
ejpam-4747	310	13	)	)	PUNCT
ejpam-4747	310	14	)	)	PUNCT
ejpam-4747	310	15	)	)	PUNCT
ejpam-4747	310	16	)	)	PUNCT
ejpam-4747	310	17	]	]	PUNCT
ejpam-4747	310	18	.	.	PUNCT
ejpam-4747	311	1	(	(	PUNCT
ejpam-4747	311	2	29	29	NUM
ejpam-4747	311	3	)	)	PUNCT
ejpam-4747	311	4	where	where	SCONJ
ejpam-4747	311	5	,	,	PUNCT
ejpam-4747	311	6	in	in	ADP
ejpam-4747	311	7	the	the	DET
ejpam-4747	311	8	same	same	ADJ
ejpam-4747	311	9	way	way	NOUN
ejpam-4747	311	10	as	as	ADP
ejpam-4747	311	11	the	the	DET
ejpam-4747	311	12	theorems	theorem	NOUN
ejpam-4747	311	13	(	(	PUNCT
ejpam-4747	311	14	2	2	NUM
ejpam-4747	311	15	-	-	SYM
ejpam-4747	311	16	4	4	NUM
ejpam-4747	311	17	)	)	PUNCT
ejpam-4747	311	18	,	,	PUNCT
ejpam-4747	311	19	this	this	DET
ejpam-4747	311	20	theorem	theorem	NOUN
ejpam-4747	311	21	is	be	AUX
ejpam-4747	311	22	proven	prove	VERB
ejpam-4747	311	23	.	.	PUNCT
ejpam-4747	312	1	4	4	X
ejpam-4747	312	2	.	.	X
ejpam-4747	313	1	some	some	DET
ejpam-4747	313	2	properties	property	NOUN
ejpam-4747	313	3	of	of	ADP
ejpam-4747	313	4	the	the	DET
ejpam-4747	313	5	generalization	generalization	NOUN
ejpam-4747	313	6	of	of	ADP
ejpam-4747	313	7	integral	integral	ADJ
ejpam-4747	313	8	transforms	transform	NOUN
ejpam-4747	313	9	here	here	ADV
ejpam-4747	313	10	,	,	PUNCT
ejpam-4747	313	11	we	we	PRON
ejpam-4747	313	12	study	study	VERB
ejpam-4747	313	13	some	some	DET
ejpam-4747	313	14	properties	property	NOUN
ejpam-4747	313	15	for	for	ADP
ejpam-4747	313	16	the	the	DET
ejpam-4747	313	17	gn	gn	PROPN
ejpam-4747	313	18	of	of	ADP
ejpam-4747	313	19	integral	integral	ADJ
ejpam-4747	313	20	transforms	transform	NOUN
ejpam-4747	313	21	.	.	PUNCT
ejpam-4747	314	1	theorem	theorem	VERB
ejpam-4747	314	2	6	6	NUM
ejpam-4747	314	3	.	.	PUNCT
ejpam-4747	315	1	(	(	PUNCT
ejpam-4747	315	2	linearity	linearity	NOUN
ejpam-4747	315	3	property	property	NOUN
ejpam-4747	315	4	)	)	PUNCT
ejpam-4747	315	5	let	let	VERB
ejpam-4747	315	6	s(t	s(t	PROPN
ejpam-4747	315	7	)	)	PUNCT
ejpam-4747	315	8	and	and	CCONJ
ejpam-4747	315	9	p	p	PROPN
ejpam-4747	315	10	(	(	PUNCT
ejpam-4747	315	11	t	t	NOUN
ejpam-4747	315	12	)	)	PUNCT
ejpam-4747	315	13	be	be	AUX
ejpam-4747	315	14	functions	function	NOUN
ejpam-4747	315	15	defined	define	VERB
ejpam-4747	315	16	for	for	ADP
ejpam-4747	315	17	t	t	PROPN
ejpam-4747	315	18	≥	≥	PROPN
ejpam-4747	315	19	0	0	NUM
ejpam-4747	315	20	,	,	PUNCT
ejpam-4747	315	21	then	then	ADV
ejpam-4747	315	22	,	,	PUNCT
ejpam-4747	315	23	gn{η	gn{η	PROPN
ejpam-4747	315	24	s(t	s(t	PROPN
ejpam-4747	315	25	)	)	PUNCT
ejpam-4747	316	1	+	+	CCONJ
ejpam-4747	316	2	ω	ω	NUM
ejpam-4747	316	3	p	p	X
ejpam-4747	316	4	(	(	PUNCT
ejpam-4747	316	5	t	t	NOUN
ejpam-4747	316	6	)	)	PUNCT
ejpam-4747	316	7	}	}	PUNCT
ejpam-4747	316	8	=	=	SYM
ejpam-4747	316	9	η	η	PROPN
ejpam-4747	316	10	gn{s(t)}+	gn{s(t)}+	NOUN
ejpam-4747	316	11	ω	ω	NUM
ejpam-4747	316	12	gn{p	gn{p	PROPN
ejpam-4747	316	13	(	(	PUNCT
ejpam-4747	316	14	t	t	PROPN
ejpam-4747	316	15	)	)	PUNCT
ejpam-4747	316	16	}	}	PUNCT
ejpam-4747	316	17	,	,	PUNCT
ejpam-4747	316	18	(	(	PUNCT
ejpam-4747	316	19	30	30	NUM
ejpam-4747	316	20	)	)	PUNCT
ejpam-4747	316	21	here	here	ADV
ejpam-4747	316	22	,	,	PUNCT
ejpam-4747	316	23	η	η	PROPN
ejpam-4747	316	24	and	and	CCONJ
ejpam-4747	316	25	ω	ω	PROPN
ejpam-4747	316	26	are	be	AUX
ejpam-4747	316	27	scalers	scaler	NOUN
ejpam-4747	316	28	.	.	PUNCT
ejpam-4747	317	1	proof	proof	NOUN
ejpam-4747	317	2	.	.	PUNCT
ejpam-4747	318	1	depending	depend	VERB
ejpam-4747	318	2	on	on	ADP
ejpam-4747	318	3	the	the	DET
ejpam-4747	318	4	definition	definition	NOUN
ejpam-4747	318	5	of	of	ADP
ejpam-4747	318	6	the	the	DET
ejpam-4747	318	7	gn	gn	PROPN
ejpam-4747	318	8	of	of	ADP
ejpam-4747	318	9	integral	integral	ADJ
ejpam-4747	318	10	transforms	transform	NOUN
ejpam-4747	318	11	,	,	PUNCT
ejpam-4747	318	12	we	we	PRON
ejpam-4747	318	13	obtain	obtain	VERB
ejpam-4747	318	14	:	:	PUNCT
ejpam-4747	318	15	gn{η	gn{η	PROPN
ejpam-4747	318	16	s(t	s(t	PROPN
ejpam-4747	318	17	)	)	PUNCT
ejpam-4747	318	18	+	+	CCONJ
ejpam-4747	319	1	ω	ω	NUM
ejpam-4747	319	2	p	p	X
ejpam-4747	319	3	(	(	PUNCT
ejpam-4747	319	4	t	t	NOUN
ejpam-4747	319	5	)	)	PUNCT
ejpam-4747	319	6	}	}	PUNCT
ejpam-4747	319	7	=	=	SYM
ejpam-4747	319	8	h(ϑ	h(ϑ	PROPN
ejpam-4747	319	9	)	)	PUNCT
ejpam-4747	319	10	∫	∫	PROPN
ejpam-4747	319	11	∞	∞	NOUN
ejpam-4747	319	12	0	0	PUNCT
ejpam-4747	320	1	[	[	X
ejpam-4747	320	2	η	η	X
ejpam-4747	320	3	s(ψ(ϑ)t	s(ψ(ϑ)t	NOUN
ejpam-4747	320	4	)	)	PUNCT
ejpam-4747	321	1	+	+	NUM
ejpam-4747	321	2	ω	ω	NUM
ejpam-4747	321	3	p	p	X
ejpam-4747	321	4	(	(	PUNCT
ejpam-4747	321	5	ψ(ϑ)t	ψ(ϑ)t	PROPN
ejpam-4747	321	6	)	)	PUNCT
ejpam-4747	321	7	]	]	PUNCT
ejpam-4747	322	1	e−σ(ϑ)tt	e−σ(ϑ)tt	VERB
ejpam-4747	322	2	=	=	SYM
ejpam-4747	322	3	η	η	PROPN
ejpam-4747	322	4	h(ϑ	h(ϑ	PROPN
ejpam-4747	322	5	)	)	PUNCT
ejpam-4747	322	6	∫	∫	PROPN
ejpam-4747	323	1	∞	∞	PROPN
ejpam-4747	323	2	0	0	PUNCT
ejpam-4747	323	3	s(ψ(ϑ)t)e−σ(ϑ)tt+	s(ψ(ϑ)t)e−σ(ϑ)tt+	NUM
ejpam-4747	323	4	ω	ω	NUM
ejpam-4747	323	5	h(ϑ	h(ϑ	PROPN
ejpam-4747	323	6	)	)	PUNCT
ejpam-4747	323	7	∫	∫	PROPN
ejpam-4747	324	1	∞	∞	PROPN
ejpam-4747	324	2	0	0	NUM
ejpam-4747	325	1	p	p	NOUN
ejpam-4747	325	2	(	(	PUNCT
ejpam-4747	325	3	ψ(ϑ)t)e−σ(ϑ)tt	ψ(ϑ)t)e−σ(ϑ)tt	PROPN
ejpam-4747	325	4	=	=	SYM
ejpam-4747	325	5	η	η	PROPN
ejpam-4747	325	6	gn{s(t)}+	gn{s(t)}+	NOUN
ejpam-4747	325	7	ω	ω	NUM
ejpam-4747	325	8	gn{p	gn{p	PROPN
ejpam-4747	325	9	(	(	PUNCT
ejpam-4747	325	10	t	t	PROPN
ejpam-4747	325	11	)	)	PUNCT
ejpam-4747	325	12	}	}	PUNCT
ejpam-4747	325	13	.	.	PUNCT
ejpam-4747	326	1	(	(	PUNCT
ejpam-4747	326	2	31	31	NUM
ejpam-4747	326	3	)	)	PUNCT
ejpam-4747	326	4	theorem	theorem	VERB
ejpam-4747	326	5	7	7	NUM
ejpam-4747	326	6	.	.	PUNCT
ejpam-4747	326	7	(	(	PUNCT
ejpam-4747	326	8	convolution	convolution	NOUN
ejpam-4747	326	9	property	property	NOUN
ejpam-4747	326	10	)	)	PUNCT
ejpam-4747	326	11	if	if	SCONJ
ejpam-4747	326	12	s(t	s(t	PROPN
ejpam-4747	326	13	)	)	PUNCT
ejpam-4747	326	14	and	and	CCONJ
ejpam-4747	326	15	p	p	PROPN
ejpam-4747	326	16	(	(	PUNCT
ejpam-4747	326	17	t	t	NOUN
ejpam-4747	326	18	)	)	PUNCT
ejpam-4747	326	19	are	be	AUX
ejpam-4747	326	20	of	of	ADP
ejpam-4747	326	21	exponential	exponential	ADJ
ejpam-4747	326	22	order	order	NOUN
ejpam-4747	326	23	and	and	CCONJ
ejpam-4747	326	24	piecewise	piecewise	NOUN
ejpam-4747	326	25	continuous	continuous	ADJ
ejpam-4747	326	26	on	on	ADP
ejpam-4747	326	27	[	[	X
ejpam-4747	326	28	0	0	NUM
ejpam-4747	326	29	,	,	PUNCT
ejpam-4747	326	30	1	1	NUM
ejpam-4747	326	31	)	)	PUNCT
ejpam-4747	326	32	,	,	PUNCT
ejpam-4747	326	33	then	then	ADV
ejpam-4747	326	34	,	,	PUNCT
ejpam-4747	326	35	gn{s(t	gn{s(t	NOUN
ejpam-4747	326	36	)	)	PUNCT
ejpam-4747	326	37	∗	∗	NOUN
ejpam-4747	326	38	p	p	NOUN
ejpam-4747	326	39	(	(	PUNCT
ejpam-4747	326	40	t	t	NOUN
ejpam-4747	326	41	)	)	PUNCT
ejpam-4747	326	42	}	}	PUNCT
ejpam-4747	326	43	=	=	SYM
ejpam-4747	326	44	gn1{s(t	gn1{s(t	NUM
ejpam-4747	326	45	)	)	PUNCT
ejpam-4747	326	46	}	}	PUNCT
ejpam-4747	326	47	gn2{p	gn2{p	NOUN
ejpam-4747	326	48	(	(	PUNCT
ejpam-4747	326	49	t	t	NOUN
ejpam-4747	326	50	)	)	PUNCT
ejpam-4747	326	51	}	}	PUNCT
ejpam-4747	326	52	.	.	PUNCT
ejpam-4747	327	1	(	(	PUNCT
ejpam-4747	327	2	32	32	NUM
ejpam-4747	327	3	)	)	PUNCT
ejpam-4747	327	4	proof	proof	NOUN
ejpam-4747	327	5	.	.	PUNCT
ejpam-4747	328	1	applying	apply	VERB
ejpam-4747	328	2	the	the	DET
ejpam-4747	328	3	general	general	ADJ
ejpam-4747	328	4	transform	transform	NOUN
ejpam-4747	328	5	gn	gn	PROPN
ejpam-4747	328	6	on	on	ADP
ejpam-4747	328	7	both	both	DET
ejpam-4747	328	8	functions	function	NOUN
ejpam-4747	328	9	s(t	s(t	PROPN
ejpam-4747	328	10	)	)	PUNCT
ejpam-4747	328	11	and	and	CCONJ
ejpam-4747	328	12	p	p	PROPN
ejpam-4747	328	13	(	(	PUNCT
ejpam-4747	328	14	t	t	PROPN
ejpam-4747	328	15	)	)	PUNCT
ejpam-4747	328	16	,	,	PUNCT
ejpam-4747	328	17	we	we	PRON
ejpam-4747	328	18	obtain	obtain	VERB
ejpam-4747	328	19	gn1{s(t	gn1{s(t	NUM
ejpam-4747	328	20	)	)	PUNCT
ejpam-4747	328	21	}	}	PUNCT
ejpam-4747	329	1	=	=	SYM
ejpam-4747	329	2	h(ϑ	h(ϑ	PROPN
ejpam-4747	329	3	)	)	PUNCT
ejpam-4747	329	4	∫	∫	PROPN
ejpam-4747	330	1	∞	∞	PROPN
ejpam-4747	330	2	0	0	PROPN
ejpam-4747	331	1	s(ψ(ϑ)ϵ)e−σ(ϑ)ϵϵ	s(ψ(ϑ)ϵ)e−σ(ϑ)ϵϵ	NOUN
ejpam-4747	331	2	,	,	PUNCT
ejpam-4747	331	3	j.i	j.i	PROPN
ejpam-4747	331	4	.	.	PROPN
ejpam-4747	331	5	mustafa	mustafa	PROPN
ejpam-4747	331	6	/	/	SYM
ejpam-4747	331	7	eur	eur	PROPN
ejpam-4747	331	8	.	.	PUNCT
ejpam-4747	332	1	j.	j.	PROPN
ejpam-4747	332	2	pure	pure	PROPN
ejpam-4747	332	3	appl	appl	PROPN
ejpam-4747	332	4	.	.	PROPN
ejpam-4747	332	5	math	math	PROPN
ejpam-4747	332	6	,	,	PUNCT
ejpam-4747	332	7	16	16	NUM
ejpam-4747	332	8	(	(	PUNCT
ejpam-4747	332	9	2	2	NUM
ejpam-4747	332	10	)	)	PUNCT
ejpam-4747	332	11	(	(	PUNCT
ejpam-4747	332	12	2023	2023	NUM
ejpam-4747	332	13	)	)	PUNCT
ejpam-4747	332	14	,	,	PUNCT
ejpam-4747	332	15	1024	1024	NUM
ejpam-4747	332	16	-	-	SYM
ejpam-4747	332	17	1046	1046	NUM
ejpam-4747	332	18	1034	1034	NUM
ejpam-4747	332	19	gn2{p	gn2{p	X
ejpam-4747	332	20	(	(	PUNCT
ejpam-4747	332	21	t	t	NOUN
ejpam-4747	332	22	)	)	PUNCT
ejpam-4747	332	23	}	}	PUNCT
ejpam-4747	332	24	=	=	SYM
ejpam-4747	332	25	h(ϑ	h(ϑ	PROPN
ejpam-4747	332	26	)	)	PUNCT
ejpam-4747	332	27	∫	∫	PROPN
ejpam-4747	333	1	∞	∞	PROPN
ejpam-4747	333	2	0	0	NUM
ejpam-4747	334	1	p	p	X
ejpam-4747	334	2	(	(	PUNCT
ejpam-4747	334	3	ψ(ϑ)ν)e−σ(ϑ)νν	ψ(ϑ)ν)e−σ(ϑ)νν	PROPN
ejpam-4747	334	4	,	,	PUNCT
ejpam-4747	334	5	gn1{s(t)}gn2{p	gn1{s(t)}gn2{p	X
ejpam-4747	334	6	(	(	PUNCT
ejpam-4747	334	7	t	t	NOUN
ejpam-4747	334	8	)	)	PUNCT
ejpam-4747	334	9	}	}	PUNCT
ejpam-4747	334	10	=	=	SYM
ejpam-4747	334	11	(	(	PUNCT
ejpam-4747	334	12	h(ϑ	h(ϑ	PROPN
ejpam-4747	334	13	)	)	PUNCT
ejpam-4747	334	14	∫	∫	PROPN
ejpam-4747	335	1	∞	∞	PROPN
ejpam-4747	335	2	0	0	NUM
ejpam-4747	335	3	s(ψ(ϑ)ϵ)e−σ(ϑ)ϵϵ	s(ψ(ϑ)ϵ)e−σ(ϑ)ϵϵ	PRON
ejpam-4747	335	4	)	)	PUNCT
ejpam-4747	335	5	×	×	NOUN
ejpam-4747	335	6	(	(	PUNCT
ejpam-4747	335	7	h(ϑ	h(ϑ	PROPN
ejpam-4747	335	8	)	)	PUNCT
ejpam-4747	335	9	∫	∫	PROPN
ejpam-4747	336	1	∞	∞	PROPN
ejpam-4747	336	2	0	0	NUM
ejpam-4747	337	1	p	p	X
ejpam-4747	337	2	(	(	PUNCT
ejpam-4747	337	3	ψ(ϑ)ν)e−σ(ϑ)νν	ψ(ϑ)ν)e−σ(ϑ)νν	NOUN
ejpam-4747	337	4	)	)	PUNCT
ejpam-4747	337	5	=	=	SYM
ejpam-4747	337	6	h2(ϑ	h2(ϑ	NOUN
ejpam-4747	337	7	)	)	PUNCT
ejpam-4747	337	8	(	(	PUNCT
ejpam-4747	337	9	∫	∫	PROPN
ejpam-4747	337	10	∞	∞	PROPN
ejpam-4747	337	11	0	0	NUM
ejpam-4747	337	12	∫	∫	PROPN
ejpam-4747	337	13	∞	∞	PROPN
ejpam-4747	337	14	0	0	NUM
ejpam-4747	337	15	s(ψ(ϑ)ϵ	s(ψ(ϑ)ϵ	PROPN
ejpam-4747	337	16	)	)	PUNCT
ejpam-4747	337	17	p	p	NOUN
ejpam-4747	337	18	(	(	PUNCT
ejpam-4747	337	19	ψ(ϑ)ν)e−σ(ϑ)(ϵ+ν)ϵ	ψ(ϑ)ν)e−σ(ϑ)(ϵ+ν)ϵ	ADP
ejpam-4747	337	20	ν	ν	NOUN
ejpam-4747	337	21	)	)	PUNCT
ejpam-4747	338	1	=	=	SYM
ejpam-4747	338	2	h2(ϑ	h2(ϑ	NOUN
ejpam-4747	338	3	)	)	PUNCT
ejpam-4747	338	4	∫	∫	PROPN
ejpam-4747	338	5	∞	∞	PROPN
ejpam-4747	338	6	0	0	PROPN
ejpam-4747	339	1	s(ψ(ϑ)ν)ν	s(ψ(ϑ)ν)ν	NOUN
ejpam-4747	339	2	∫	∫	PROPN
ejpam-4747	339	3	∞	∞	PROPN
ejpam-4747	339	4	0	0	NUM
ejpam-4747	340	1	p	p	NOUN
ejpam-4747	340	2	(	(	PUNCT
ejpam-4747	340	3	ψ(ϑ)ϵ)e−σ(ϑ)(ϵ+ν)ϵ.	ψ(ϑ)ϵ)e−σ(ϑ)(ϵ+ν)ϵ.	NOUN
ejpam-4747	340	4	(	(	PUNCT
ejpam-4747	340	5	33	33	NUM
ejpam-4747	340	6	)	)	PUNCT
ejpam-4747	340	7	let	let	NOUN
ejpam-4747	340	8	,	,	PUNCT
ejpam-4747	340	9	t	t	PROPN
ejpam-4747	340	10	=	=	PRON
ejpam-4747	340	11	ϵ+	ϵ+	PUNCT
ejpam-4747	340	12	ν	ν	NOUN
ejpam-4747	340	13	,	,	PUNCT
ejpam-4747	340	14	t	t	NOUN
ejpam-4747	340	15	=	=	SYM
ejpam-4747	340	16	ϵ	ϵ	NOUN
ejpam-4747	340	17	,	,	PUNCT
ejpam-4747	340	18	(	(	PUNCT
ejpam-4747	340	19	34	34	NUM
ejpam-4747	340	20	)	)	PUNCT
ejpam-4747	340	21	substitute	substitute	NOUN
ejpam-4747	340	22	(	(	PUNCT
ejpam-4747	340	23	34	34	NUM
ejpam-4747	340	24	)	)	PUNCT
ejpam-4747	340	25	into	into	ADP
ejpam-4747	340	26	(	(	PUNCT
ejpam-4747	340	27	33	33	NUM
ejpam-4747	340	28	)	)	PUNCT
ejpam-4747	340	29	,	,	PUNCT
ejpam-4747	340	30	leads	lead	VERB
ejpam-4747	340	31	to	to	ADP
ejpam-4747	340	32	gn1{s(t	gn1{s(t	NUM
ejpam-4747	340	33	)	)	PUNCT
ejpam-4747	340	34	}	}	PUNCT
ejpam-4747	340	35	gn2{p	gn2{p	NOUN
ejpam-4747	340	36	(	(	PUNCT
ejpam-4747	340	37	t	t	NOUN
ejpam-4747	340	38	)	)	PUNCT
ejpam-4747	340	39	}	}	PUNCT
ejpam-4747	341	1	=	=	SYM
ejpam-4747	341	2	h2(ϑ	h2(ϑ	NOUN
ejpam-4747	341	3	)	)	PUNCT
ejpam-4747	341	4	∫	∫	PROPN
ejpam-4747	341	5	∞	∞	PROPN
ejpam-4747	341	6	0	0	PROPN
ejpam-4747	342	1	s(ψ(ϑ)ν)ν	s(ψ(ϑ)ν)ν	NOUN
ejpam-4747	342	2	∫	∫	PROPN
ejpam-4747	342	3	∞	∞	PROPN
ejpam-4747	342	4	0	0	NUM
ejpam-4747	343	1	e−σ(ϑ)t	e−σ(ϑ)t	PROPN
ejpam-4747	343	2	p	p	X
ejpam-4747	343	3	(	(	PUNCT
ejpam-4747	343	4	ψ(ϑ)(t−	ψ(ϑ)(t−	NOUN
ejpam-4747	343	5	ν))t	ν))t	VERB
ejpam-4747	343	6	=	=	NOUN
ejpam-4747	343	7	h2(ϑ	h2(ϑ	NOUN
ejpam-4747	343	8	)	)	PUNCT
ejpam-4747	343	9	∫	∫	PROPN
ejpam-4747	343	10	∞	∞	PROPN
ejpam-4747	343	11	0	0	NUM
ejpam-4747	344	1	e−σ(ϑ)tt	e−σ(ϑ)tt	PROPN
ejpam-4747	344	2	∫	∫	PROPN
ejpam-4747	344	3	t	t	PROPN
ejpam-4747	344	4	0	0	NUM
ejpam-4747	344	5	s(ψ(ϑ)ν	s(ψ(ϑ)ν	PROPN
ejpam-4747	344	6	)	)	PUNCT
ejpam-4747	344	7	p	p	NOUN
ejpam-4747	344	8	(	(	PUNCT
ejpam-4747	344	9	ψ(ϑ)(t−	ψ(ϑ)(t−	NOUN
ejpam-4747	344	10	ν))ν	ν))ν	PROPN
ejpam-4747	344	11	=	=	SYM
ejpam-4747	344	12	h(ϑ	h(ϑ	PROPN
ejpam-4747	344	13	)	)	PUNCT
ejpam-4747	344	14	∫	∫	PROPN
ejpam-4747	345	1	∞	∞	PROPN
ejpam-4747	345	2	0	0	NUM
ejpam-4747	346	1	e−σ(ϑ)t	e−σ(ϑ)t	PROPN
ejpam-4747	346	2	(	(	PUNCT
ejpam-4747	346	3	h(ϑ	h(ϑ	PROPN
ejpam-4747	346	4	)	)	PUNCT
ejpam-4747	346	5	∫	∫	PROPN
ejpam-4747	347	1	t	t	NOUN
ejpam-4747	347	2	0	0	X
ejpam-4747	348	1	s(ψ(ϑ)ν)p	s(ψ(ϑ)ν)p	NOUN
ejpam-4747	348	2	(	(	PUNCT
ejpam-4747	348	3	ψ(ϑ)(t−	ψ(ϑ)(t−	NOUN
ejpam-4747	348	4	ν))ν	ν))ν	PROPN
ejpam-4747	348	5	)	)	PUNCT
ejpam-4747	349	1	t.	t.	NOUN
ejpam-4747	350	1	so	so	ADV
ejpam-4747	350	2	,	,	PUNCT
ejpam-4747	350	3	gn1{s(t	gn1{s(t	NUM
ejpam-4747	350	4	)	)	PUNCT
ejpam-4747	350	5	}	}	PUNCT
ejpam-4747	350	6	gn2{p	gn2{p	NOUN
ejpam-4747	350	7	(	(	PUNCT
ejpam-4747	350	8	t	t	NOUN
ejpam-4747	350	9	)	)	PUNCT
ejpam-4747	350	10	}	}	PUNCT
ejpam-4747	351	1	=	=	SYM
ejpam-4747	351	2	gn{s(t	gn{s(t	NOUN
ejpam-4747	351	3	)	)	PUNCT
ejpam-4747	351	4	∗	∗	NOUN
ejpam-4747	351	5	p	p	NOUN
ejpam-4747	351	6	(	(	PUNCT
ejpam-4747	351	7	t	t	PROPN
ejpam-4747	351	8	)	)	PUNCT
ejpam-4747	351	9	}	}	PUNCT
ejpam-4747	351	10	.	.	PUNCT
ejpam-4747	352	1	(	(	PUNCT
ejpam-4747	352	2	35	35	NUM
ejpam-4747	352	3	)	)	PUNCT
ejpam-4747	352	4	theorem	theorem	NOUN
ejpam-4747	352	5	8	8	NUM
ejpam-4747	352	6	.	.	PUNCT
ejpam-4747	353	1	(	(	PUNCT
ejpam-4747	353	2	commutativity	commutativity	NOUN
ejpam-4747	353	3	property	property	NOUN
ejpam-4747	353	4	)	)	PUNCT
ejpam-4747	353	5	the	the	DET
ejpam-4747	353	6	convolution	convolution	NOUN
ejpam-4747	353	7	between	between	ADP
ejpam-4747	353	8	two	two	NUM
ejpam-4747	353	9	functions	function	NOUN
ejpam-4747	353	10	is	be	AUX
ejpam-4747	353	11	commutative	commutative	ADJ
ejpam-4747	353	12	.	.	PUNCT
ejpam-4747	354	1	proof	proof	NOUN
ejpam-4747	354	2	.	.	PUNCT
ejpam-4747	355	1	let	let	VERB
ejpam-4747	355	2	s(t	s(t	PROPN
ejpam-4747	355	3	)	)	PUNCT
ejpam-4747	355	4	and	and	CCONJ
ejpam-4747	355	5	p	p	PROPN
ejpam-4747	355	6	(	(	PUNCT
ejpam-4747	355	7	t	t	PROPN
ejpam-4747	355	8	)	)	PUNCT
ejpam-4747	355	9	,	,	PUNCT
ejpam-4747	355	10	then	then	ADV
ejpam-4747	355	11	s(t	s(t	PROPN
ejpam-4747	355	12	)	)	PUNCT
ejpam-4747	355	13	∗	∗	NOUN
ejpam-4747	355	14	p	p	NOUN
ejpam-4747	355	15	(	(	PUNCT
ejpam-4747	355	16	t	t	PROPN
ejpam-4747	355	17	)	)	PUNCT
ejpam-4747	355	18	=	=	SYM
ejpam-4747	355	19	h(ϑ	h(ϑ	PROPN
ejpam-4747	355	20	)	)	PUNCT
ejpam-4747	355	21	∫	∫	PROPN
ejpam-4747	356	1	∞	∞	PROPN
ejpam-4747	356	2	0	0	PUNCT
ejpam-4747	357	1	e−σ(ϑ)νs(ψ(ϑ)ν)p	e−σ(ϑ)νs(ψ(ϑ)ν)p	ADJ
ejpam-4747	357	2	(	(	PUNCT
ejpam-4747	357	3	ψ(ϑ)(t−	ψ(ϑ)(t−	NOUN
ejpam-4747	357	4	ν))ν	ν))ν	PROPN
ejpam-4747	357	5	.	.	PUNCT
ejpam-4747	358	1	(	(	PUNCT
ejpam-4747	358	2	36	36	NUM
ejpam-4747	358	3	)	)	PUNCT
ejpam-4747	358	4	suppose	suppose	VERB
ejpam-4747	358	5	,	,	PUNCT
ejpam-4747	358	6	t−	t−	PROPN
ejpam-4747	358	7	ν	ν	NOUN
ejpam-4747	358	8	=	=	SYM
ejpam-4747	358	9	ω	ω	PROPN
ejpam-4747	358	10	,	,	PUNCT
ejpam-4747	358	11	−ν	−ν	NOUN
ejpam-4747	358	12	=	=	SYM
ejpam-4747	358	13	ω	ω	PROPN
ejpam-4747	358	14	,	,	PUNCT
ejpam-4747	358	15	(	(	PUNCT
ejpam-4747	358	16	37	37	NUM
ejpam-4747	358	17	)	)	PUNCT
ejpam-4747	358	18	substitute	substitute	NOUN
ejpam-4747	358	19	the	the	DET
ejpam-4747	358	20	relation	relation	NOUN
ejpam-4747	358	21	in	in	ADP
ejpam-4747	358	22	(	(	PUNCT
ejpam-4747	358	23	37	37	NUM
ejpam-4747	358	24	)	)	PUNCT
ejpam-4747	358	25	into	into	ADP
ejpam-4747	358	26	(	(	PUNCT
ejpam-4747	358	27	36	36	NUM
ejpam-4747	358	28	)	)	PUNCT
ejpam-4747	358	29	,	,	PUNCT
ejpam-4747	358	30	gives	give	VERB
ejpam-4747	358	31	,	,	PUNCT
ejpam-4747	358	32	s(t	s(t	PROPN
ejpam-4747	358	33	)	)	PUNCT
ejpam-4747	358	34	∗	∗	NOUN
ejpam-4747	358	35	p	p	NOUN
ejpam-4747	358	36	(	(	PUNCT
ejpam-4747	358	37	t	t	NOUN
ejpam-4747	358	38	)	)	PUNCT
ejpam-4747	359	1	=	=	NOUN
ejpam-4747	359	2	−	−	NOUN
ejpam-4747	359	3	h(ϑ	h(ϑ	PROPN
ejpam-4747	359	4	)	)	PUNCT
ejpam-4747	359	5	∫	∫	PROPN
ejpam-4747	360	1	−∞	−∞	PROPN
ejpam-4747	360	2	t	t	PROPN
ejpam-4747	360	3	e−σ(ϑ)(t−ω)s(ψ(ϑ)(t−	e−σ(ϑ)(t−ω)s(ψ(ϑ)(t−	PROPN
ejpam-4747	360	4	ω))p	ω))p	PROPN
ejpam-4747	360	5	(	(	PUNCT
ejpam-4747	360	6	ψ(ϑ)ω)ω	ψ(ϑ)ω)ω	NUM
ejpam-4747	360	7	,	,	PUNCT
ejpam-4747	360	8	=	=	SYM
ejpam-4747	360	9	h(ϑ	h(ϑ	PROPN
ejpam-4747	360	10	)	)	PUNCT
ejpam-4747	361	1	∫	∫	PROPN
ejpam-4747	361	2	∞	∞	PROPN
ejpam-4747	361	3	0	0	NUM
ejpam-4747	362	1	e−σ(ϑ)ωp	e−σ(ϑ)ωp	PROPN
ejpam-4747	362	2	(	(	PUNCT
ejpam-4747	362	3	ψ(ϑ)ω	ψ(ϑ)ω	PROPN
ejpam-4747	362	4	)	)	PUNCT
ejpam-4747	362	5	s(ψ(ϑ)(t−	s(ψ(ϑ)(t−	PROPN
ejpam-4747	363	1	ω))ω	ω))ω	ADJ
ejpam-4747	363	2	.	.	PUNCT
ejpam-4747	364	1	so	so	ADV
ejpam-4747	364	2	,	,	PUNCT
ejpam-4747	364	3	s(t	s(t	PROPN
ejpam-4747	364	4	)	)	PUNCT
ejpam-4747	365	1	∗	∗	NOUN
ejpam-4747	365	2	p	p	NOUN
ejpam-4747	365	3	(	(	PUNCT
ejpam-4747	365	4	t	t	NOUN
ejpam-4747	365	5	)	)	PUNCT
ejpam-4747	366	1	=	=	NOUN
ejpam-4747	366	2	p	p	X
ejpam-4747	366	3	(	(	PUNCT
ejpam-4747	366	4	t	t	NOUN
ejpam-4747	366	5	)	)	PUNCT
ejpam-4747	366	6	∗	∗	NOUN
ejpam-4747	366	7	s(t	s(t	PROPN
ejpam-4747	366	8	)	)	PUNCT
ejpam-4747	366	9	.	.	PUNCT
ejpam-4747	367	1	(	(	PUNCT
ejpam-4747	367	2	38	38	NUM
ejpam-4747	367	3	)	)	PUNCT
ejpam-4747	367	4	j.i	j.i	PROPN
ejpam-4747	367	5	.	.	PROPN
ejpam-4747	367	6	mustafa	mustafa	PROPN
ejpam-4747	367	7	/	/	SYM
ejpam-4747	367	8	eur	eur	PROPN
ejpam-4747	367	9	.	.	PUNCT
ejpam-4747	368	1	j.	j.	PROPN
ejpam-4747	368	2	pure	pure	PROPN
ejpam-4747	368	3	appl	appl	PROPN
ejpam-4747	368	4	.	.	PROPN
ejpam-4747	368	5	math	math	PROPN
ejpam-4747	368	6	,	,	PUNCT
ejpam-4747	368	7	16	16	NUM
ejpam-4747	368	8	(	(	PUNCT
ejpam-4747	368	9	2	2	NUM
ejpam-4747	368	10	)	)	PUNCT
ejpam-4747	368	11	(	(	PUNCT
ejpam-4747	368	12	2023	2023	NUM
ejpam-4747	368	13	)	)	PUNCT
ejpam-4747	368	14	,	,	PUNCT
ejpam-4747	368	15	1024	1024	NUM
ejpam-4747	368	16	-	-	SYM
ejpam-4747	368	17	1046	1046	NUM
ejpam-4747	368	18	1035	1035	NUM
ejpam-4747	368	19	5	5	NUM
ejpam-4747	368	20	.	.	PUNCT
ejpam-4747	368	21	mathematical	mathematical	ADJ
ejpam-4747	368	22	method	method	NOUN
ejpam-4747	368	23	:	:	PUNCT
ejpam-4747	368	24	the	the	DET
ejpam-4747	368	25	generalization	generalization	NOUN
ejpam-4747	368	26	of	of	ADP
ejpam-4747	368	27	integral	integral	ADJ
ejpam-4747	368	28	transforms	transform	NOUN
ejpam-4747	368	29	with	with	ADP
ejpam-4747	368	30	he	he	PRON
ejpam-4747	368	31	’s	’	VERB
ejpam-4747	368	32	polynomial	polynomial	ADJ
ejpam-4747	368	33	for	for	ADP
ejpam-4747	368	34	the	the	DET
ejpam-4747	368	35	pdes	pde	NOUN
ejpam-4747	368	36	as	as	ADP
ejpam-4747	368	37	a	a	DET
ejpam-4747	368	38	starting	starting	NOUN
ejpam-4747	368	39	point	point	NOUN
ejpam-4747	368	40	,	,	PUNCT
ejpam-4747	368	41	we	we	PRON
ejpam-4747	368	42	consider	consider	VERB
ejpam-4747	368	43	nonlinear	nonlinear	ADJ
ejpam-4747	368	44	pdes	pde	NOUN
ejpam-4747	368	45	in	in	ADP
ejpam-4747	368	46	the	the	DET
ejpam-4747	368	47	following	follow	VERB
ejpam-4747	368	48	equation	equation	NOUN
ejpam-4747	368	49	:	:	PUNCT
ejpam-4747	368	50	l̇[g(x	l̇[g(x	PROPN
ejpam-4747	368	51	,	,	PUNCT
ejpam-4747	368	52	t	t	PROPN
ejpam-4747	368	53	)	)	PUNCT
ejpam-4747	368	54	]	]	PUNCT
ejpam-4747	369	1	+	+	PUNCT
ejpam-4747	369	2	r[g(x	r[g(x	X
ejpam-4747	369	3	,	,	PUNCT
ejpam-4747	369	4	t	t	NOUN
ejpam-4747	369	5	)	)	PUNCT
ejpam-4747	369	6	]	]	PUNCT
ejpam-4747	370	1	+	+	CCONJ
ejpam-4747	370	2	g(x	g(x	PROPN
ejpam-4747	370	3	,	,	PUNCT
ejpam-4747	370	4	t	t	PROPN
ejpam-4747	370	5	)	)	PUNCT
ejpam-4747	370	6	=	=	SYM
ejpam-4747	370	7	0	0	NUM
ejpam-4747	370	8	,	,	PUNCT
ejpam-4747	370	9	(	(	PUNCT
ejpam-4747	370	10	39	39	NUM
ejpam-4747	370	11	)	)	PUNCT
ejpam-4747	370	12	here	here	ADV
ejpam-4747	370	13	,	,	PUNCT
ejpam-4747	370	14	l̇	l̇	PROPN
ejpam-4747	370	15	is	be	AUX
ejpam-4747	370	16	an	an	DET
ejpam-4747	370	17	invertible	invertible	ADJ
ejpam-4747	370	18	operator	operator	NOUN
ejpam-4747	370	19	of	of	ADP
ejpam-4747	370	20	first	first	ADJ
ejpam-4747	370	21	order	order	NOUN
ejpam-4747	370	22	,	,	PUNCT
ejpam-4747	370	23	r	r	NOUN
ejpam-4747	370	24	consists	consist	VERB
ejpam-4747	370	25	of	of	ADP
ejpam-4747	370	26	linear	linear	NOUN
ejpam-4747	370	27	as	as	ADV
ejpam-4747	370	28	well	well	ADV
ejpam-4747	370	29	as	as	ADP
ejpam-4747	370	30	nonlinear	nonlinear	ADJ
ejpam-4747	370	31	functions	function	NOUN
ejpam-4747	370	32	,	,	PUNCT
ejpam-4747	370	33	g(x	g(x	NOUN
ejpam-4747	370	34	,	,	PUNCT
ejpam-4747	370	35	0	0	NUM
ejpam-4747	370	36	)	)	PUNCT
ejpam-4747	370	37	is	be	AUX
ejpam-4747	370	38	the	the	DET
ejpam-4747	370	39	initial	initial	ADJ
ejpam-4747	370	40	condition	condition	NOUN
ejpam-4747	370	41	(	(	PUNCT
ejpam-4747	370	42	ic	ic	NUM
ejpam-4747	370	43	)	)	PUNCT
ejpam-4747	370	44	for	for	ADP
ejpam-4747	370	45	(	(	PUNCT
ejpam-4747	370	46	39	39	NUM
ejpam-4747	370	47	)	)	PUNCT
ejpam-4747	370	48	and	and	CCONJ
ejpam-4747	370	49	g(x	g(x	NOUN
ejpam-4747	370	50	,	,	PUNCT
ejpam-4747	370	51	0	0	NUM
ejpam-4747	370	52	)	)	PUNCT
ejpam-4747	370	53	and	and	CCONJ
ejpam-4747	370	54	g(x	g(x	PROPN
ejpam-4747	370	55	,	,	PUNCT
ejpam-4747	370	56	t	t	PROPN
ejpam-4747	370	57	)	)	PUNCT
ejpam-4747	370	58	are	be	AUX
ejpam-4747	370	59	both	both	PRON
ejpam-4747	370	60	known	know	VERB
ejpam-4747	370	61	functions	function	NOUN
ejpam-4747	370	62	.	.	PUNCT
ejpam-4747	371	1	first	first	ADV
ejpam-4747	371	2	,	,	PUNCT
ejpam-4747	371	3	the	the	DET
ejpam-4747	371	4	gn	gn	PROPN
ejpam-4747	371	5	to	to	PART
ejpam-4747	371	6	(	(	PUNCT
ejpam-4747	371	7	39	39	NUM
ejpam-4747	371	8	)	)	PUNCT
ejpam-4747	371	9	can	can	AUX
ejpam-4747	371	10	be	be	AUX
ejpam-4747	371	11	applied	apply	VERB
ejpam-4747	371	12	as	as	ADP
ejpam-4747	371	13	:	:	PUNCT
ejpam-4747	371	14	gn	gn	PROPN
ejpam-4747	372	1	[	[	X
ejpam-4747	372	2	l̇[g(x	l̇[g(x	X
ejpam-4747	372	3	,	,	PUNCT
ejpam-4747	372	4	t	t	PROPN
ejpam-4747	372	5	)	)	PUNCT
ejpam-4747	372	6	]	]	PUNCT
ejpam-4747	372	7	]	]	PUNCT
ejpam-4747	373	1	+	+	PUNCT
ejpam-4747	373	2	gn	gn	PROPN
ejpam-4747	373	3	[	[	X
ejpam-4747	373	4	r[g(x	r[g(x	X
ejpam-4747	373	5	,	,	PUNCT
ejpam-4747	373	6	t	t	PROPN
ejpam-4747	373	7	)	)	PUNCT
ejpam-4747	373	8	]	]	PUNCT
ejpam-4747	373	9	]	]	PUNCT
ejpam-4747	374	1	+	+	PUNCT
ejpam-4747	374	2	gn	gn	PROPN
ejpam-4747	374	3	[	[	X
ejpam-4747	374	4	g(x	g(x	PROPN
ejpam-4747	374	5	,	,	PUNCT
ejpam-4747	374	6	t	t	PROPN
ejpam-4747	374	7	)	)	PUNCT
ejpam-4747	374	8	]	]	PUNCT
ejpam-4747	375	1	=	=	PUNCT
ejpam-4747	375	2	0	0	X
ejpam-4747	375	3	.	.	PUNCT
ejpam-4747	376	1	(	(	PUNCT
ejpam-4747	376	2	40	40	NUM
ejpam-4747	376	3	)	)	PUNCT
ejpam-4747	376	4	now	now	ADV
ejpam-4747	376	5	,	,	PUNCT
ejpam-4747	376	6	the	the	DET
ejpam-4747	376	7	ic	ic	PROPN
ejpam-4747	376	8	of	of	ADP
ejpam-4747	376	9	(	(	PUNCT
ejpam-4747	376	10	39	39	NUM
ejpam-4747	376	11	)	)	PUNCT
ejpam-4747	376	12	and	and	CCONJ
ejpam-4747	376	13	theorem	theorem	VERB
ejpam-4747	376	14	(	(	PUNCT
ejpam-4747	376	15	2	2	NUM
ejpam-4747	376	16	)	)	PUNCT
ejpam-4747	376	17	will	will	AUX
ejpam-4747	376	18	be	be	AUX
ejpam-4747	376	19	used	use	VERB
ejpam-4747	376	20	as	as	SCONJ
ejpam-4747	376	21	follows	follow	VERB
ejpam-4747	376	22	,	,	PUNCT
ejpam-4747	376	23	−	−	PROPN
ejpam-4747	376	24	h(ϑ	h(ϑ	PROPN
ejpam-4747	376	25	)	)	PUNCT
ejpam-4747	376	26	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	376	27	)	)	PUNCT
ejpam-4747	376	28	g(x	g(x	NOUN
ejpam-4747	376	29	,	,	PUNCT
ejpam-4747	376	30	0	0	NUM
ejpam-4747	376	31	)	)	PUNCT
ejpam-4747	377	1	+	+	CCONJ
ejpam-4747	377	2	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	377	3	)	)	PUNCT
ejpam-4747	377	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	377	5	)	)	PUNCT
ejpam-4747	377	6	gn	gn	PROPN
ejpam-4747	378	1	[	[	X
ejpam-4747	378	2	g(x	g(x	PROPN
ejpam-4747	378	3	,	,	PUNCT
ejpam-4747	378	4	t	t	PROPN
ejpam-4747	378	5	)	)	PUNCT
ejpam-4747	378	6	]	]	PUNCT
ejpam-4747	379	1	+	+	PUNCT
ejpam-4747	379	2	gn	gn	X
ejpam-4747	379	3	[	[	X
ejpam-4747	379	4	r[g(x	r[g(x	X
ejpam-4747	379	5	,	,	PUNCT
ejpam-4747	379	6	t	t	PROPN
ejpam-4747	379	7	)	)	PUNCT
ejpam-4747	379	8	]	]	PUNCT
ejpam-4747	379	9	]	]	PUNCT
ejpam-4747	380	1	+	+	PUNCT
ejpam-4747	380	2	gn	gn	PROPN
ejpam-4747	380	3	[	[	X
ejpam-4747	380	4	g(x	g(x	PROPN
ejpam-4747	380	5	,	,	PUNCT
ejpam-4747	380	6	t	t	PROPN
ejpam-4747	380	7	)	)	PUNCT
ejpam-4747	380	8	]	]	PUNCT
ejpam-4747	381	1	=	=	PUNCT
ejpam-4747	381	2	0	0	NUM
ejpam-4747	381	3	,	,	PUNCT
ejpam-4747	381	4	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	381	5	)	)	PUNCT
ejpam-4747	381	6	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	381	7	)	)	PUNCT
ejpam-4747	381	8	gn	gn	PROPN
ejpam-4747	382	1	[	[	X
ejpam-4747	382	2	g(x	g(x	PROPN
ejpam-4747	382	3	,	,	PUNCT
ejpam-4747	382	4	t	t	PROPN
ejpam-4747	382	5	)	)	PUNCT
ejpam-4747	382	6	]	]	PUNCT
ejpam-4747	382	7	=	=	PUNCT
ejpam-4747	382	8	h(ϑ	h(ϑ	PROPN
ejpam-4747	382	9	)	)	PUNCT
ejpam-4747	382	10	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	382	11	)	)	PUNCT
ejpam-4747	382	12	g(x	g(x	NOUN
ejpam-4747	382	13	,	,	PUNCT
ejpam-4747	382	14	0)−	0)−	PUNCT
ejpam-4747	382	15	(	(	PUNCT
ejpam-4747	382	16	gn	gn	X
ejpam-4747	383	1	[	[	X
ejpam-4747	383	2	r[g(x	r[g(x	X
ejpam-4747	383	3	,	,	PUNCT
ejpam-4747	383	4	t	t	PROPN
ejpam-4747	383	5	)	)	PUNCT
ejpam-4747	383	6	]	]	PUNCT
ejpam-4747	383	7	]	]	PUNCT
ejpam-4747	384	1	+	+	PUNCT
ejpam-4747	384	2	gn	gn	PROPN
ejpam-4747	384	3	[	[	X
ejpam-4747	384	4	g(x	g(x	PROPN
ejpam-4747	384	5	,	,	PUNCT
ejpam-4747	384	6	t	t	PROPN
ejpam-4747	384	7	)	)	PUNCT
ejpam-4747	384	8	]	]	PUNCT
ejpam-4747	384	9	)	)	PUNCT
ejpam-4747	384	10	,	,	PUNCT
ejpam-4747	384	11	gn	gn	PROPN
ejpam-4747	385	1	[	[	X
ejpam-4747	385	2	g(x	g(x	PROPN
ejpam-4747	385	3	,	,	PUNCT
ejpam-4747	385	4	t	t	PROPN
ejpam-4747	385	5	)	)	PUNCT
ejpam-4747	385	6	]	]	PUNCT
ejpam-4747	385	7	=	=	PUNCT
ejpam-4747	385	8	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	385	9	)	)	PUNCT
ejpam-4747	385	10	σ(ϑ	σ(ϑ	VERB
ejpam-4747	385	11	)	)	PUNCT
ejpam-4747	385	12	(	(	PUNCT
ejpam-4747	385	13	h(ϑ	h(ϑ	PROPN
ejpam-4747	385	14	)	)	PUNCT
ejpam-4747	385	15	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	385	16	)	)	PUNCT
ejpam-4747	385	17	g(x	g(x	NOUN
ejpam-4747	385	18	,	,	PUNCT
ejpam-4747	385	19	0)−	0)−	PUNCT
ejpam-4747	385	20	(	(	PUNCT
ejpam-4747	385	21	gn	gn	X
ejpam-4747	385	22	[	[	X
ejpam-4747	385	23	r[g(x	r[g(x	X
ejpam-4747	385	24	,	,	PUNCT
ejpam-4747	385	25	t	t	PROPN
ejpam-4747	385	26	)	)	PUNCT
ejpam-4747	385	27	]	]	PUNCT
ejpam-4747	385	28	]	]	PUNCT
ejpam-4747	386	1	+	+	PUNCT
ejpam-4747	386	2	gn	gn	PROPN
ejpam-4747	386	3	[	[	X
ejpam-4747	386	4	g(x	g(x	PROPN
ejpam-4747	386	5	,	,	PUNCT
ejpam-4747	386	6	t	t	PROPN
ejpam-4747	386	7	)	)	PUNCT
ejpam-4747	386	8	]	]	PUNCT
ejpam-4747	386	9	)	)	PUNCT
ejpam-4747	386	10	)	)	PUNCT
ejpam-4747	387	1	,	,	PUNCT
ejpam-4747	387	2	gn	gn	PROPN
ejpam-4747	388	1	[	[	X
ejpam-4747	388	2	g(x	g(x	PROPN
ejpam-4747	388	3	,	,	PUNCT
ejpam-4747	388	4	t	t	PROPN
ejpam-4747	388	5	)	)	PUNCT
ejpam-4747	388	6	]	]	PUNCT
ejpam-4747	388	7	=	=	PUNCT
ejpam-4747	388	8	h(ϑ	h(ϑ	PROPN
ejpam-4747	388	9	)	)	PUNCT
ejpam-4747	388	10	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	388	11	)	)	PUNCT
ejpam-4747	388	12	g(x	g(x	NOUN
ejpam-4747	388	13	,	,	PUNCT
ejpam-4747	388	14	0)−	0)−	PUNCT
ejpam-4747	388	15	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	388	16	)	)	PUNCT
ejpam-4747	388	17	σ(ϑ	σ(ϑ	VERB
ejpam-4747	388	18	)	)	PUNCT
ejpam-4747	388	19	(	(	PUNCT
ejpam-4747	388	20	gn	gn	X
ejpam-4747	389	1	[	[	X
ejpam-4747	389	2	r[g(x	r[g(x	X
ejpam-4747	389	3	,	,	PUNCT
ejpam-4747	389	4	t	t	PROPN
ejpam-4747	389	5	)	)	PUNCT
ejpam-4747	389	6	]	]	PUNCT
ejpam-4747	389	7	]	]	PUNCT
ejpam-4747	390	1	+	+	PUNCT
ejpam-4747	390	2	gn	gn	PROPN
ejpam-4747	390	3	[	[	X
ejpam-4747	390	4	g(x	g(x	PROPN
ejpam-4747	390	5	,	,	PUNCT
ejpam-4747	390	6	t	t	PROPN
ejpam-4747	390	7	)	)	PUNCT
ejpam-4747	390	8	]	]	PUNCT
ejpam-4747	390	9	)	)	PUNCT
ejpam-4747	390	10	.	.	PUNCT
ejpam-4747	391	1	(	(	PUNCT
ejpam-4747	391	2	41	41	NUM
ejpam-4747	391	3	)	)	PUNCT
ejpam-4747	391	4	taking	take	VERB
ejpam-4747	391	5	the	the	DET
ejpam-4747	391	6	inverse	inverse	NOUN
ejpam-4747	391	7	of	of	ADP
ejpam-4747	391	8	the	the	DET
ejpam-4747	391	9	gn	gn	PROPN
ejpam-4747	391	10	of	of	ADP
ejpam-4747	391	11	integral	integral	ADJ
ejpam-4747	391	12	transforms	transform	NOUN
ejpam-4747	391	13	(	(	PUNCT
ejpam-4747	391	14	gn−1	gn−1	NOUN
ejpam-4747	391	15	)	)	PUNCT
ejpam-4747	391	16	to	to	ADP
ejpam-4747	391	17	(	(	PUNCT
ejpam-4747	391	18	41	41	NUM
ejpam-4747	391	19	)	)	PUNCT
ejpam-4747	391	20	,	,	PUNCT
ejpam-4747	391	21	we	we	PRON
ejpam-4747	391	22	can	can	AUX
ejpam-4747	391	23	find	find	VERB
ejpam-4747	391	24	g(x	g(x	NOUN
ejpam-4747	391	25	,	,	PUNCT
ejpam-4747	391	26	t	t	PROPN
ejpam-4747	391	27	)	)	PUNCT
ejpam-4747	391	28	,	,	PUNCT
ejpam-4747	391	29	this	this	DET
ejpam-4747	391	30	yields	yield	NOUN
ejpam-4747	391	31	,	,	PUNCT
ejpam-4747	391	32	g(x	g(x	PROPN
ejpam-4747	391	33	,	,	PUNCT
ejpam-4747	391	34	t	t	PROPN
ejpam-4747	391	35	)	)	PUNCT
ejpam-4747	391	36	=	=	SYM
ejpam-4747	392	1	g(x	g(x	NOUN
ejpam-4747	392	2	,	,	PUNCT
ejpam-4747	392	3	0)−gn−1	0)−gn−1	ADP
ejpam-4747	392	4	[	[	PUNCT
ejpam-4747	392	5	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	392	6	)	)	PUNCT
ejpam-4747	392	7	σ(ϑ	σ(ϑ	VERB
ejpam-4747	392	8	)	)	PUNCT
ejpam-4747	392	9	gn	gn	PROPN
ejpam-4747	393	1	[	[	X
ejpam-4747	393	2	r[g(x	r[g(x	X
ejpam-4747	393	3	,	,	PUNCT
ejpam-4747	393	4	t	t	PROPN
ejpam-4747	393	5	)	)	PUNCT
ejpam-4747	393	6	]	]	PUNCT
ejpam-4747	394	1	+	+	CCONJ
ejpam-4747	394	2	g(x	g(x	PROPN
ejpam-4747	394	3	,	,	PUNCT
ejpam-4747	394	4	t	t	PROPN
ejpam-4747	394	5	)	)	PUNCT
ejpam-4747	394	6	]	]	PUNCT
ejpam-4747	394	7	]	]	PUNCT
ejpam-4747	394	8	.	.	PUNCT
ejpam-4747	395	1	(	(	PUNCT
ejpam-4747	395	2	42	42	NUM
ejpam-4747	395	3	)	)	PUNCT
ejpam-4747	395	4	so	so	ADV
ejpam-4747	395	5	,	,	PUNCT
ejpam-4747	395	6	the	the	DET
ejpam-4747	395	7	solution	solution	NOUN
ejpam-4747	395	8	can	can	AUX
ejpam-4747	395	9	be	be	AUX
ejpam-4747	395	10	represented	represent	VERB
ejpam-4747	395	11	by	by	ADP
ejpam-4747	395	12	an	an	DET
ejpam-4747	395	13	infinite	infinite	ADJ
ejpam-4747	395	14	series	series	NOUN
ejpam-4747	395	15	:	:	PUNCT
ejpam-4747	395	16	g(x	g(x	PROPN
ejpam-4747	395	17	,	,	PUNCT
ejpam-4747	395	18	t	t	PROPN
ejpam-4747	395	19	)	)	PUNCT
ejpam-4747	395	20	=	=	PUNCT
ejpam-4747	396	1	∞∑	∞∑	NUM
ejpam-4747	396	2	n=0	n=0	NUM
ejpam-4747	396	3	gn(x	gn(x	X
ejpam-4747	396	4	,	,	PUNCT
ejpam-4747	396	5	t	t	PROPN
ejpam-4747	396	6	)	)	PUNCT
ejpam-4747	396	7	,	,	PUNCT
ejpam-4747	396	8	(	(	PUNCT
ejpam-4747	396	9	43	43	NUM
ejpam-4747	396	10	)	)	PUNCT
ejpam-4747	396	11	and	and	CCONJ
ejpam-4747	396	12	by	by	ADP
ejpam-4747	396	13	using	use	VERB
ejpam-4747	396	14	he	he	PRON
ejpam-4747	396	15	’s	’s	NOUN
ejpam-4747	396	16	polynomial	polynomial	ADJ
ejpam-4747	396	17	,	,	PUNCT
ejpam-4747	396	18	we	we	PRON
ejpam-4747	396	19	will	will	AUX
ejpam-4747	396	20	deal	deal	VERB
ejpam-4747	396	21	with	with	ADP
ejpam-4747	396	22	the	the	DET
ejpam-4747	396	23	nonlinear	nonlinear	ADJ
ejpam-4747	396	24	parts	part	NOUN
ejpam-4747	396	25	r[g(x	r[g(x	X
ejpam-4747	396	26	,	,	PUNCT
ejpam-4747	396	27	t	t	PROPN
ejpam-4747	396	28	)	)	PUNCT
ejpam-4747	396	29	]	]	PUNCT
ejpam-4747	397	1	=	=	PUNCT
ejpam-4747	397	2	∞∑	∞∑	NUM
ejpam-4747	397	3	n=0	n=0	PUNCT
ejpam-4747	397	4	hn	hn	PROPN
ejpam-4747	397	5	,	,	PUNCT
ejpam-4747	397	6	(	(	PUNCT
ejpam-4747	397	7	44	44	NUM
ejpam-4747	397	8	)	)	PUNCT
ejpam-4747	397	9	where	where	SCONJ
ejpam-4747	397	10	,	,	PUNCT
ejpam-4747	397	11	hn	hn	PROPN
ejpam-4747	397	12	is	be	AUX
ejpam-4747	397	13	defined	define	VERB
ejpam-4747	397	14	as	as	ADP
ejpam-4747	397	15	fallow	fallow	NOUN
ejpam-4747	397	16	hn(g0	hn(g0	NOUN
ejpam-4747	397	17	,	,	PUNCT
ejpam-4747	397	18	.	.	PUNCT
ejpam-4747	397	19	.	.	PUNCT
ejpam-4747	397	20	.	.	PUNCT
ejpam-4747	398	1	,	,	PUNCT
ejpam-4747	398	2	gn	gn	PROPN
ejpam-4747	398	3	)	)	PUNCT
ejpam-4747	398	4	=	=	SYM
ejpam-4747	398	5	1	1	NUM
ejpam-4747	398	6	n	n	NOUN
ejpam-4747	398	7	!	!	PUNCT
ejpam-4747	399	1	∂n	∂n	PROPN
ejpam-4747	400	1	∂pn	∂pn	NOUN
ejpam-4747	400	2	[	[	PUNCT
ejpam-4747	400	3	r	r	NOUN
ejpam-4747	400	4	(	(	PUNCT
ejpam-4747	400	5	∞∑	∞∑	PRON
ejpam-4747	400	6	n=0	n=0	NUM
ejpam-4747	400	7	pngn(x	pngn(x	NOUN
ejpam-4747	400	8	,	,	PUNCT
ejpam-4747	400	9	t	t	PROPN
ejpam-4747	400	10	)	)	PUNCT
ejpam-4747	400	11	)	)	PUNCT
ejpam-4747	400	12	]	]	PUNCT
ejpam-4747	401	1	p=0	p=0	X
ejpam-4747	401	2	,	,	PUNCT
ejpam-4747	401	3	(	(	PUNCT
ejpam-4747	401	4	45	45	NUM
ejpam-4747	401	5	)	)	PUNCT
ejpam-4747	401	6	j.i	j.i	PROPN
ejpam-4747	401	7	.	.	PROPN
ejpam-4747	401	8	mustafa	mustafa	PROPN
ejpam-4747	401	9	/	/	SYM
ejpam-4747	401	10	eur	eur	PROPN
ejpam-4747	401	11	.	.	PUNCT
ejpam-4747	402	1	j.	j.	PROPN
ejpam-4747	402	2	pure	pure	PROPN
ejpam-4747	402	3	appl	appl	PROPN
ejpam-4747	402	4	.	.	PROPN
ejpam-4747	402	5	math	math	PROPN
ejpam-4747	402	6	,	,	PUNCT
ejpam-4747	402	7	16	16	NUM
ejpam-4747	402	8	(	(	PUNCT
ejpam-4747	402	9	2	2	NUM
ejpam-4747	402	10	)	)	PUNCT
ejpam-4747	402	11	(	(	PUNCT
ejpam-4747	402	12	2023	2023	NUM
ejpam-4747	402	13	)	)	PUNCT
ejpam-4747	402	14	,	,	PUNCT
ejpam-4747	402	15	1024	1024	NUM
ejpam-4747	402	16	-	-	SYM
ejpam-4747	402	17	1046	1046	NUM
ejpam-4747	402	18	1036	1036	NUM
ejpam-4747	402	19	here	here	ADV
ejpam-4747	402	20	,	,	PUNCT
ejpam-4747	402	21	n	n	PROPN
ejpam-4747	402	22	=	=	SYM
ejpam-4747	402	23	0	0	NUM
ejpam-4747	402	24	,	,	PUNCT
ejpam-4747	402	25	1	1	NUM
ejpam-4747	402	26	,	,	PUNCT
ejpam-4747	402	27	2	2	NUM
ejpam-4747	402	28	,	,	PUNCT
ejpam-4747	402	29	.	.	PUNCT
ejpam-4747	402	30	.	.	PUNCT
ejpam-4747	402	31	.	.	PUNCT
ejpam-4747	403	1	,	,	PUNCT
ejpam-4747	403	2	substitute	substitute	NOUN
ejpam-4747	403	3	(	(	PUNCT
ejpam-4747	403	4	43	43	NUM
ejpam-4747	403	5	)	)	PUNCT
ejpam-4747	403	6	and	and	CCONJ
ejpam-4747	403	7	(	(	PUNCT
ejpam-4747	403	8	44	44	NUM
ejpam-4747	403	9	)	)	PUNCT
ejpam-4747	403	10	into	into	ADP
ejpam-4747	403	11	(	(	PUNCT
ejpam-4747	403	12	42	42	NUM
ejpam-4747	403	13	)	)	PUNCT
ejpam-4747	403	14	,	,	PUNCT
ejpam-4747	403	15	gives	give	VERB
ejpam-4747	403	16	:	:	PUNCT
ejpam-4747	403	17	∞∑	∞∑	NUM
ejpam-4747	403	18	n=0	n=0	NUM
ejpam-4747	403	19	gn(x	gn(x	X
ejpam-4747	403	20	,	,	PUNCT
ejpam-4747	403	21	t	t	PROPN
ejpam-4747	403	22	)	)	PUNCT
ejpam-4747	403	23	=	=	SYM
ejpam-4747	404	1	g(x	g(x	NOUN
ejpam-4747	404	2	,	,	PUNCT
ejpam-4747	404	3	0)−gn−1	0)−gn−1	ADP
ejpam-4747	404	4	[	[	PUNCT
ejpam-4747	404	5	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	404	6	)	)	PUNCT
ejpam-4747	404	7	σ(ϑ	σ(ϑ	VERB
ejpam-4747	404	8	)	)	PUNCT
ejpam-4747	404	9	gn	gn	PROPN
ejpam-4747	405	1	[	[	PUNCT
ejpam-4747	405	2	∞∑	∞∑	PROPN
ejpam-4747	405	3	n=0	n=0	PROPN
ejpam-4747	405	4	hm	hm	INTJ
ejpam-4747	405	5	n	n	NOUN
ejpam-4747	405	6	+	+	CCONJ
ejpam-4747	405	7	∞∑	∞∑	NUM
ejpam-4747	405	8	n=0	n=0	NUM
ejpam-4747	405	9	gn(x	gn(x	X
ejpam-4747	405	10	,	,	PUNCT
ejpam-4747	405	11	t	t	PROPN
ejpam-4747	405	12	)	)	PUNCT
ejpam-4747	406	1	+	+	CCONJ
ejpam-4747	406	2	g(x	g(x	PROPN
ejpam-4747	406	3	,	,	PUNCT
ejpam-4747	406	4	t	t	PROPN
ejpam-4747	406	5	)	)	PUNCT
ejpam-4747	407	1	]	]	PUNCT
ejpam-4747	407	2	]	]	PUNCT
ejpam-4747	407	3	,	,	PUNCT
ejpam-4747	407	4	(	(	PUNCT
ejpam-4747	407	5	46	46	NUM
ejpam-4747	407	6	)	)	PUNCT
ejpam-4747	407	7	where	where	SCONJ
ejpam-4747	407	8	,	,	PUNCT
ejpam-4747	407	9	m	m	VERB
ejpam-4747	407	10	represents	represent	VERB
ejpam-4747	407	11	the	the	DET
ejpam-4747	407	12	number	number	NOUN
ejpam-4747	407	13	of	of	ADP
ejpam-4747	407	14	nonlinear	nonlinear	ADJ
ejpam-4747	407	15	terms	term	NOUN
ejpam-4747	407	16	in	in	ADP
ejpam-4747	407	17	(	(	PUNCT
ejpam-4747	407	18	39	39	NUM
ejpam-4747	407	19	)	)	PUNCT
ejpam-4747	407	20	.	.	PUNCT
ejpam-4747	408	1	compering	compere	VERB
ejpam-4747	408	2	both	both	DET
ejpam-4747	408	3	sides	side	NOUN
ejpam-4747	408	4	of	of	ADP
ejpam-4747	408	5	(	(	PUNCT
ejpam-4747	408	6	46	46	NUM
ejpam-4747	408	7	)	)	PUNCT
ejpam-4747	408	8	,	,	PUNCT
ejpam-4747	408	9	we	we	PRON
ejpam-4747	408	10	obtain	obtain	VERB
ejpam-4747	408	11	,	,	PUNCT
ejpam-4747	408	12	g0(x	g0(x	NOUN
ejpam-4747	408	13	,	,	PUNCT
ejpam-4747	408	14	t	t	PROPN
ejpam-4747	408	15	)	)	PUNCT
ejpam-4747	408	16	=	=	SYM
ejpam-4747	408	17	g(x	g(x	NOUN
ejpam-4747	408	18	,	,	PUNCT
ejpam-4747	408	19	0	0	NUM
ejpam-4747	408	20	)	)	PUNCT
ejpam-4747	408	21	,	,	PUNCT
ejpam-4747	408	22	g1(x	g1(x	PROPN
ejpam-4747	408	23	,	,	PUNCT
ejpam-4747	408	24	t	t	PROPN
ejpam-4747	408	25	)	)	PUNCT
ejpam-4747	408	26	=	=	NOUN
ejpam-4747	408	27	−gn−1	−gn−1	X
ejpam-4747	408	28	[	[	PUNCT
ejpam-4747	408	29	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	408	30	)	)	PUNCT
ejpam-4747	408	31	σ(ϑ	σ(ϑ	VERB
ejpam-4747	408	32	)	)	PUNCT
ejpam-4747	408	33	gn	gn	PROPN
ejpam-4747	409	1	[	[	X
ejpam-4747	409	2	hm	hm	INTJ
ejpam-4747	409	3	0	0	PUNCT
ejpam-4747	409	4	+	+	CCONJ
ejpam-4747	409	5	g0	g0	NOUN
ejpam-4747	409	6	+	+	CCONJ
ejpam-4747	409	7	g(x	g(x	PROPN
ejpam-4747	409	8	,	,	PUNCT
ejpam-4747	409	9	t	t	PROPN
ejpam-4747	409	10	)	)	PUNCT
ejpam-4747	409	11	]	]	PUNCT
ejpam-4747	409	12	]	]	PUNCT
ejpam-4747	409	13	,	,	PUNCT
ejpam-4747	409	14	g2(x	g2(x	PROPN
ejpam-4747	409	15	,	,	PUNCT
ejpam-4747	409	16	t	t	PROPN
ejpam-4747	409	17	)	)	PUNCT
ejpam-4747	409	18	=	=	NOUN
ejpam-4747	409	19	−gn−1	−gn−1	X
ejpam-4747	409	20	[	[	PUNCT
ejpam-4747	409	21	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	409	22	)	)	PUNCT
ejpam-4747	409	23	σ(ϑ	σ(ϑ	VERB
ejpam-4747	409	24	)	)	PUNCT
ejpam-4747	409	25	gn	gn	PROPN
ejpam-4747	410	1	[	[	X
ejpam-4747	410	2	hm	hm	INTJ
ejpam-4747	410	3	1	1	NUM
ejpam-4747	410	4	+	+	NUM
ejpam-4747	410	5	g1	g1	NOUN
ejpam-4747	410	6	+	+	CCONJ
ejpam-4747	410	7	g(x	g(x	PROPN
ejpam-4747	410	8	,	,	PUNCT
ejpam-4747	410	9	t	t	PROPN
ejpam-4747	410	10	)	)	PUNCT
ejpam-4747	410	11	]	]	PUNCT
ejpam-4747	410	12	]	]	PUNCT
ejpam-4747	410	13	,	,	PUNCT
ejpam-4747	410	14	then	then	ADV
ejpam-4747	410	15	,	,	PUNCT
ejpam-4747	410	16	the	the	DET
ejpam-4747	410	17	general	general	ADJ
ejpam-4747	410	18	form	form	NOUN
ejpam-4747	410	19	will	will	AUX
ejpam-4747	410	20	be	be	AUX
ejpam-4747	410	21	as	as	ADP
ejpam-4747	410	22	,	,	PUNCT
ejpam-4747	410	23	gn+1(x	gn+1(x	PROPN
ejpam-4747	410	24	,	,	PUNCT
ejpam-4747	410	25	t	t	PROPN
ejpam-4747	410	26	)	)	PUNCT
ejpam-4747	410	27	=	=	SYM
ejpam-4747	410	28	−gn−1	−gn−1	X
ejpam-4747	410	29	[	[	PUNCT
ejpam-4747	410	30	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	410	31	)	)	PUNCT
ejpam-4747	410	32	σ(ϑ	σ(ϑ	VERB
ejpam-4747	410	33	)	)	PUNCT
ejpam-4747	410	34	gn	gn	PROPN
ejpam-4747	411	1	[	[	X
ejpam-4747	411	2	hm	hm	INTJ
ejpam-4747	411	3	n	n	PROPN
ejpam-4747	411	4	+	+	CCONJ
ejpam-4747	411	5	gn	gn	PROPN
ejpam-4747	412	1	+	+	CCONJ
ejpam-4747	412	2	g(x	g(x	PROPN
ejpam-4747	412	3	,	,	PUNCT
ejpam-4747	412	4	t	t	PROPN
ejpam-4747	412	5	)	)	PUNCT
ejpam-4747	412	6	]	]	PUNCT
ejpam-4747	412	7	]	]	PUNCT
ejpam-4747	412	8	,	,	PUNCT
ejpam-4747	412	9	(	(	PUNCT
ejpam-4747	412	10	47	47	NUM
ejpam-4747	412	11	)	)	PUNCT
ejpam-4747	412	12	here	here	ADV
ejpam-4747	412	13	,	,	PUNCT
ejpam-4747	412	14	n	n	PRON
ejpam-4747	412	15	≥	≥	NOUN
ejpam-4747	412	16	0	0	NUM
ejpam-4747	412	17	.	.	PUNCT
ejpam-4747	413	1	this	this	DET
ejpam-4747	413	2	calculation	calculation	NOUN
ejpam-4747	413	3	results	result	VERB
ejpam-4747	413	4	a	a	DET
ejpam-4747	413	5	series	series	NOUN
ejpam-4747	413	6	expression	expression	NOUN
ejpam-4747	413	7	and	and	CCONJ
ejpam-4747	413	8	the	the	DET
ejpam-4747	413	9	convergence	convergence	NOUN
ejpam-4747	413	10	of	of	ADP
ejpam-4747	413	11	this	this	DET
ejpam-4747	413	12	expression	expression	NOUN
ejpam-4747	413	13	leads	lead	VERB
ejpam-4747	413	14	to	to	ADP
ejpam-4747	413	15	an	an	DET
ejpam-4747	413	16	approximate	approximate	ADJ
ejpam-4747	413	17	solution	solution	NOUN
ejpam-4747	413	18	.	.	PUNCT
ejpam-4747	414	1	6	6	X
ejpam-4747	414	2	.	.	X
ejpam-4747	414	3	examples	example	NOUN
ejpam-4747	414	4	:	:	PUNCT
ejpam-4747	414	5	numerical	numerical	ADJ
ejpam-4747	414	6	results	result	NOUN
ejpam-4747	414	7	for	for	ADP
ejpam-4747	414	8	nonlinear	nonlinear	ADJ
ejpam-4747	414	9	pdes	pde	NOUN
ejpam-4747	414	10	here	here	ADV
ejpam-4747	414	11	,	,	PUNCT
ejpam-4747	414	12	we	we	PRON
ejpam-4747	414	13	apply	apply	VERB
ejpam-4747	414	14	our	our	PRON
ejpam-4747	414	15	mathematical	mathematical	ADJ
ejpam-4747	414	16	method	method	NOUN
ejpam-4747	414	17	to	to	ADP
ejpam-4747	414	18	three	three	NUM
ejpam-4747	414	19	different	different	ADJ
ejpam-4747	414	20	examples	example	NOUN
ejpam-4747	414	21	of	of	ADP
ejpam-4747	414	22	pdes	pde	NOUN
ejpam-4747	414	23	.	.	PUNCT
ejpam-4747	415	1	example	example	NOUN
ejpam-4747	415	2	1	1	NUM
ejpam-4747	415	3	.	.	PUNCT
ejpam-4747	416	1	let	let	VERB
ejpam-4747	416	2	us	we	PRON
ejpam-4747	416	3	consider	consider	VERB
ejpam-4747	416	4	the	the	DET
ejpam-4747	416	5	nonlinear	nonlinear	ADJ
ejpam-4747	416	6	equation	equation	NOUN
ejpam-4747	416	7	for	for	ADP
ejpam-4747	416	8	gas	gas	NOUN
ejpam-4747	416	9	dynamics	dynamic	NOUN
ejpam-4747	416	10	,	,	PUNCT
ejpam-4747	416	11	gt(x	gt(x	PROPN
ejpam-4747	416	12	,	,	PUNCT
ejpam-4747	416	13	t	t	PROPN
ejpam-4747	416	14	)	)	PUNCT
ejpam-4747	417	1	=	=	NOUN
ejpam-4747	417	2	−	−	X
ejpam-4747	417	3	g(x	g(x	PROPN
ejpam-4747	417	4	,	,	PUNCT
ejpam-4747	417	5	t	t	NOUN
ejpam-4747	417	6	)	)	PUNCT
ejpam-4747	417	7	gx(x	gx(x	NOUN
ejpam-4747	417	8	,	,	PUNCT
ejpam-4747	417	9	t	t	PROPN
ejpam-4747	417	10	)	)	PUNCT
ejpam-4747	418	1	+	+	CCONJ
ejpam-4747	418	2	g(x	g(x	NOUN
ejpam-4747	418	3	,	,	PUNCT
ejpam-4747	418	4	t)(1−	t)(1−	ADJ
ejpam-4747	418	5	g(x	g(x	PROPN
ejpam-4747	418	6	,	,	PUNCT
ejpam-4747	418	7	t	t	PROPN
ejpam-4747	418	8	)	)	PUNCT
ejpam-4747	418	9	)	)	PUNCT
ejpam-4747	418	10	,	,	PUNCT
ejpam-4747	418	11	(	(	PUNCT
ejpam-4747	418	12	48	48	NUM
ejpam-4747	418	13	)	)	PUNCT
ejpam-4747	418	14	g(x	g(x	NOUN
ejpam-4747	418	15	,	,	PUNCT
ejpam-4747	418	16	0	0	NUM
ejpam-4747	418	17	)	)	PUNCT
ejpam-4747	419	1	=	=	NOUN
ejpam-4747	419	2	e−x	e−x	NOUN
ejpam-4747	419	3	.	.	PUNCT
ejpam-4747	420	1	here	here	ADV
ejpam-4747	420	2	,	,	PUNCT
ejpam-4747	420	3	g(x	g(x	PROPN
ejpam-4747	420	4	,	,	PUNCT
ejpam-4747	420	5	t	t	PROPN
ejpam-4747	420	6	)	)	PUNCT
ejpam-4747	420	7	=	=	SYM
ejpam-4747	420	8	0	0	NUM
ejpam-4747	420	9	,	,	PUNCT
ejpam-4747	420	10	first	first	ADV
ejpam-4747	420	11	,	,	PUNCT
ejpam-4747	420	12	we	we	PRON
ejpam-4747	420	13	apply	apply	VERB
ejpam-4747	420	14	the	the	DET
ejpam-4747	420	15	gn	gn	PROPN
ejpam-4747	420	16	integral	integral	ADJ
ejpam-4747	420	17	transforms	transform	NOUN
ejpam-4747	420	18	of	of	ADP
ejpam-4747	420	19	(	(	PUNCT
ejpam-4747	420	20	48	48	NUM
ejpam-4747	420	21	):	):	PUNCT
ejpam-4747	420	22	−	−	PROPN
ejpam-4747	420	23	h(ϑ	h(ϑ	PROPN
ejpam-4747	420	24	)	)	PUNCT
ejpam-4747	420	25	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	420	26	)	)	PUNCT
ejpam-4747	420	27	g(x	g(x	NOUN
ejpam-4747	420	28	,	,	PUNCT
ejpam-4747	420	29	0	0	NUM
ejpam-4747	420	30	)	)	PUNCT
ejpam-4747	421	1	+	+	CCONJ
ejpam-4747	421	2	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	421	3	)	)	PUNCT
ejpam-4747	421	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	421	5	)	)	PUNCT
ejpam-4747	421	6	gn	gn	PROPN
ejpam-4747	422	1	[	[	X
ejpam-4747	422	2	g(x	g(x	PROPN
ejpam-4747	422	3	,	,	PUNCT
ejpam-4747	422	4	t	t	PROPN
ejpam-4747	422	5	)	)	PUNCT
ejpam-4747	422	6	]	]	PUNCT
ejpam-4747	423	1	=	=	PUNCT
ejpam-4747	423	2	gn	gn	PROPN
ejpam-4747	424	1	[	[	X
ejpam-4747	424	2	−ggx	−ggx	NOUN
ejpam-4747	424	3	+	+	X
ejpam-4747	425	1	g	g	PROPN
ejpam-4747	425	2	−	−	PROPN
ejpam-4747	425	3	g2(x	g2(x	PROPN
ejpam-4747	425	4	,	,	PUNCT
ejpam-4747	425	5	t	t	PROPN
ejpam-4747	425	6	)	)	PUNCT
ejpam-4747	425	7	]	]	X
ejpam-4747	425	8	,	,	PUNCT
ejpam-4747	425	9	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	425	10	)	)	PUNCT
ejpam-4747	425	11	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	425	12	)	)	PUNCT
ejpam-4747	425	13	gn	gn	PROPN
ejpam-4747	426	1	[	[	X
ejpam-4747	426	2	g(x	g(x	PROPN
ejpam-4747	426	3	,	,	PUNCT
ejpam-4747	426	4	t	t	PROPN
ejpam-4747	426	5	)	)	PUNCT
ejpam-4747	426	6	]	]	PUNCT
ejpam-4747	426	7	=	=	PUNCT
ejpam-4747	426	8	h(ϑ	h(ϑ	PROPN
ejpam-4747	426	9	)	)	PUNCT
ejpam-4747	426	10	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	426	11	)	)	PUNCT
ejpam-4747	426	12	g(x	g(x	NOUN
ejpam-4747	426	13	,	,	PUNCT
ejpam-4747	426	14	0	0	NUM
ejpam-4747	426	15	)	)	PUNCT
ejpam-4747	427	1	+	+	NUM
ejpam-4747	427	2	gn	gn	X
ejpam-4747	427	3	[	[	X
ejpam-4747	427	4	−ggx	−ggx	NOUN
ejpam-4747	427	5	+	+	X
ejpam-4747	428	1	g	g	PROPN
ejpam-4747	428	2	−	−	PROPN
ejpam-4747	428	3	g2(x	g2(x	PROPN
ejpam-4747	428	4	,	,	PUNCT
ejpam-4747	428	5	t	t	PROPN
ejpam-4747	428	6	)	)	PUNCT
ejpam-4747	428	7	]	]	PUNCT
ejpam-4747	428	8	,	,	PUNCT
ejpam-4747	428	9	multiply	multiply	VERB
ejpam-4747	428	10	both	both	DET
ejpam-4747	428	11	side	side	NOUN
ejpam-4747	428	12	by	by	ADP
ejpam-4747	428	13	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	428	14	)	)	PUNCT
ejpam-4747	428	15	σ(ϑ	σ(ϑ	ADP
ejpam-4747	428	16	)	)	PUNCT
ejpam-4747	428	17	,	,	PUNCT
ejpam-4747	428	18	gives	give	VERB
ejpam-4747	428	19	gn	gn	PROPN
ejpam-4747	429	1	[	[	X
ejpam-4747	429	2	g(x	g(x	PROPN
ejpam-4747	429	3	,	,	PUNCT
ejpam-4747	429	4	t	t	PROPN
ejpam-4747	429	5	)	)	PUNCT
ejpam-4747	429	6	]	]	PUNCT
ejpam-4747	429	7	=	=	PUNCT
ejpam-4747	429	8	h(ϑ	h(ϑ	PROPN
ejpam-4747	429	9	)	)	PUNCT
ejpam-4747	429	10	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	429	11	)	)	PUNCT
ejpam-4747	429	12	e−x	e−x	PROPN
ejpam-4747	429	13	+	+	CCONJ
ejpam-4747	429	14	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	429	15	)	)	PUNCT
ejpam-4747	429	16	σ(ϑ	σ(ϑ	VERB
ejpam-4747	429	17	)	)	PUNCT
ejpam-4747	429	18	gn	gn	PROPN
ejpam-4747	430	1	[	[	X
ejpam-4747	430	2	−ggx	−ggx	NOUN
ejpam-4747	430	3	+	+	X
ejpam-4747	431	1	g	g	PROPN
ejpam-4747	431	2	−	−	PROPN
ejpam-4747	431	3	g2(x	g2(x	PROPN
ejpam-4747	431	4	,	,	PUNCT
ejpam-4747	431	5	t	t	PROPN
ejpam-4747	431	6	)	)	PUNCT
ejpam-4747	431	7	]	]	PUNCT
ejpam-4747	431	8	,	,	PUNCT
ejpam-4747	431	9	(	(	PUNCT
ejpam-4747	431	10	49	49	NUM
ejpam-4747	431	11	)	)	PUNCT
ejpam-4747	431	12	take	take	VERB
ejpam-4747	431	13	gn−1	gn−1	NOUN
ejpam-4747	431	14	to	to	ADP
ejpam-4747	431	15	(	(	PUNCT
ejpam-4747	431	16	49	49	NUM
ejpam-4747	431	17	)	)	PUNCT
ejpam-4747	431	18	,	,	PUNCT
ejpam-4747	431	19	then	then	ADV
ejpam-4747	431	20	we	we	PRON
ejpam-4747	431	21	obtain	obtain	VERB
ejpam-4747	431	22	:	:	PUNCT
ejpam-4747	431	23	g(x	g(x	NUM
ejpam-4747	431	24	,	,	PUNCT
ejpam-4747	431	25	t	t	NOUN
ejpam-4747	431	26	)	)	PUNCT
ejpam-4747	432	1	=	=	NOUN
ejpam-4747	432	2	gn−1	gn−1	PROPN
ejpam-4747	432	3	[	[	PUNCT
ejpam-4747	432	4	h(ϑ	h(ϑ	PROPN
ejpam-4747	432	5	)	)	PUNCT
ejpam-4747	432	6	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	432	7	)	)	PUNCT
ejpam-4747	432	8	e−x	e−x	PROPN
ejpam-4747	432	9	+	+	CCONJ
ejpam-4747	432	10	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	432	11	)	)	PUNCT
ejpam-4747	432	12	σ(ϑ	σ(ϑ	VERB
ejpam-4747	432	13	)	)	PUNCT
ejpam-4747	432	14	gn	gn	PROPN
ejpam-4747	433	1	[	[	X
ejpam-4747	433	2	−ggx	−ggx	NOUN
ejpam-4747	433	3	+	+	X
ejpam-4747	434	1	g	g	PROPN
ejpam-4747	434	2	−	−	PROPN
ejpam-4747	434	3	g2(x	g2(x	PROPN
ejpam-4747	434	4	,	,	PUNCT
ejpam-4747	434	5	t	t	PROPN
ejpam-4747	434	6	)	)	PUNCT
ejpam-4747	434	7	]	]	PUNCT
ejpam-4747	434	8	]	]	PUNCT
ejpam-4747	434	9	,	,	PUNCT
ejpam-4747	434	10	j.i	j.i	PROPN
ejpam-4747	434	11	.	.	PROPN
ejpam-4747	434	12	mustafa	mustafa	PROPN
ejpam-4747	434	13	/	/	SYM
ejpam-4747	434	14	eur	eur	PROPN
ejpam-4747	434	15	.	.	PUNCT
ejpam-4747	435	1	j.	j.	PROPN
ejpam-4747	435	2	pure	pure	PROPN
ejpam-4747	435	3	appl	appl	PROPN
ejpam-4747	435	4	.	.	PROPN
ejpam-4747	435	5	math	math	PROPN
ejpam-4747	435	6	,	,	PUNCT
ejpam-4747	435	7	16	16	NUM
ejpam-4747	435	8	(	(	PUNCT
ejpam-4747	435	9	2	2	NUM
ejpam-4747	435	10	)	)	PUNCT
ejpam-4747	435	11	(	(	PUNCT
ejpam-4747	435	12	2023	2023	NUM
ejpam-4747	435	13	)	)	PUNCT
ejpam-4747	435	14	,	,	PUNCT
ejpam-4747	435	15	1024	1024	NUM
ejpam-4747	435	16	-	-	SYM
ejpam-4747	435	17	1046	1046	NUM
ejpam-4747	435	18	1037	1037	NUM
ejpam-4747	435	19	g(x	g(x	PROPN
ejpam-4747	435	20	,	,	PUNCT
ejpam-4747	435	21	t	t	NOUN
ejpam-4747	435	22	)	)	PUNCT
ejpam-4747	436	1	=	=	NUM
ejpam-4747	436	2	e−x	e−x	NOUN
ejpam-4747	436	3	+	+	NOUN
ejpam-4747	436	4	gn−1	gn−1	PROPN
ejpam-4747	436	5	[	[	PUNCT
ejpam-4747	436	6	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	436	7	)	)	PUNCT
ejpam-4747	436	8	σ(ϑ	σ(ϑ	VERB
ejpam-4747	436	9	)	)	PUNCT
ejpam-4747	436	10	gn	gn	PROPN
ejpam-4747	437	1	[	[	X
ejpam-4747	437	2	−ggx	−ggx	NOUN
ejpam-4747	437	3	+	+	X
ejpam-4747	438	1	g	g	PROPN
ejpam-4747	438	2	−	−	PROPN
ejpam-4747	438	3	g2(x	g2(x	PROPN
ejpam-4747	438	4	,	,	PUNCT
ejpam-4747	438	5	t	t	PROPN
ejpam-4747	438	6	)	)	PUNCT
ejpam-4747	438	7	]	]	PUNCT
ejpam-4747	438	8	]	]	PUNCT
ejpam-4747	438	9	.	.	PUNCT
ejpam-4747	439	1	(	(	PUNCT
ejpam-4747	439	2	50	50	NUM
ejpam-4747	439	3	)	)	PUNCT
ejpam-4747	439	4	now	now	ADV
ejpam-4747	439	5	,	,	PUNCT
ejpam-4747	439	6	we	we	PRON
ejpam-4747	439	7	deal	deal	VERB
ejpam-4747	439	8	with	with	ADP
ejpam-4747	439	9	the	the	DET
ejpam-4747	439	10	nonlinear	nonlinear	ADJ
ejpam-4747	439	11	parts	part	NOUN
ejpam-4747	439	12	g	g	PROPN
ejpam-4747	439	13	gx	gx	PROPN
ejpam-4747	439	14	and	and	CCONJ
ejpam-4747	439	15	g2	g2	PROPN
ejpam-4747	439	16	by	by	ADP
ejpam-4747	439	17	using	use	VERB
ejpam-4747	439	18	he	he	PRON
ejpam-4747	439	19	’s	’s	PART
ejpam-4747	439	20	polynomial	polynomial	ADJ
ejpam-4747	439	21	.	.	PUNCT
ejpam-4747	440	1	so	so	ADV
ejpam-4747	440	2	,	,	PUNCT
ejpam-4747	440	3	using	use	VERB
ejpam-4747	440	4	the	the	DET
ejpam-4747	440	5	general	general	ADJ
ejpam-4747	440	6	form	form	NOUN
ejpam-4747	440	7	(	(	PUNCT
ejpam-4747	440	8	47	47	NUM
ejpam-4747	440	9	)	)	PUNCT
ejpam-4747	440	10	will	will	AUX
ejpam-4747	440	11	give	give	VERB
ejpam-4747	440	12	,	,	PUNCT
ejpam-4747	440	13	gn+1	gn+1	VERB
ejpam-4747	440	14	=	=	SYM
ejpam-4747	440	15	−gn−1	−gn−1	X
ejpam-4747	440	16	[	[	PUNCT
ejpam-4747	440	17	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	440	18	)	)	PUNCT
ejpam-4747	440	19	σ(ϑ	σ(ϑ	VERB
ejpam-4747	440	20	)	)	PUNCT
ejpam-4747	441	1	gn	gn	PROPN
ejpam-4747	441	2	[	[	PUNCT
ejpam-4747	441	3	h1	h1	PROPN
ejpam-4747	441	4	n	n	CCONJ
ejpam-4747	441	5	−	−	PROPN
ejpam-4747	441	6	gn	gn	PROPN
ejpam-4747	442	1	+	+	PROPN
ejpam-4747	442	2	h2	h2	PROPN
ejpam-4747	442	3	n	n	X
ejpam-4747	442	4	]	]	X
ejpam-4747	442	5	]	]	PUNCT
ejpam-4747	442	6	,	,	PUNCT
ejpam-4747	442	7	n	n	X
ejpam-4747	442	8	≥	≥	NOUN
ejpam-4747	442	9	0	0	NUM
ejpam-4747	442	10	,	,	PUNCT
ejpam-4747	442	11	(	(	PUNCT
ejpam-4747	442	12	51	51	NUM
ejpam-4747	442	13	)	)	PUNCT
ejpam-4747	442	14	where	where	SCONJ
ejpam-4747	442	15	,	,	PUNCT
ejpam-4747	442	16	h1	h1	PROPN
ejpam-4747	442	17	=	=	SYM
ejpam-4747	442	18	gg′	gg′	PROPN
ejpam-4747	442	19	and	and	CCONJ
ejpam-4747	442	20	h2	h2	PROPN
ejpam-4747	442	21	=	=	SYM
ejpam-4747	442	22	g2	g2	PROPN
ejpam-4747	442	23	,	,	PUNCT
ejpam-4747	442	24	and	and	CCONJ
ejpam-4747	442	25	g0	g0	NOUN
ejpam-4747	442	26	=	=	SYM
ejpam-4747	442	27	e−x	e−x	PROPN
ejpam-4747	442	28	,	,	PUNCT
ejpam-4747	442	29	using	use	VERB
ejpam-4747	442	30	the	the	DET
ejpam-4747	442	31	formula	formula	NOUN
ejpam-4747	442	32	(	(	PUNCT
ejpam-4747	442	33	45	45	NUM
ejpam-4747	442	34	)	)	PUNCT
ejpam-4747	442	35	,	,	PUNCT
ejpam-4747	442	36	we	we	PRON
ejpam-4747	442	37	have	have	VERB
ejpam-4747	442	38	h1	h1	PROPN
ejpam-4747	442	39	0	0	NUM
ejpam-4747	442	40	=	=	NUM
ejpam-4747	442	41	g0	g0	NOUN
ejpam-4747	442	42	g	g	NOUN
ejpam-4747	442	43	′	′	NUM
ejpam-4747	442	44	0	0	NUM
ejpam-4747	443	1	=	=	PUNCT
ejpam-4747	443	2	−e−2x	−e−2x	PROPN
ejpam-4747	443	3	,	,	PUNCT
ejpam-4747	443	4	(	(	PUNCT
ejpam-4747	443	5	52	52	NUM
ejpam-4747	443	6	)	)	PUNCT
ejpam-4747	443	7	h2	h2	NOUN
ejpam-4747	443	8	0	0	NUM
ejpam-4747	444	1	=	=	NUM
ejpam-4747	444	2	g20	g20	NOUN
ejpam-4747	444	3	=	=	NOUN
ejpam-4747	444	4	e−2x	e−2x	NOUN
ejpam-4747	444	5	.	.	PUNCT
ejpam-4747	445	1	(	(	PUNCT
ejpam-4747	445	2	53	53	NUM
ejpam-4747	445	3	)	)	PUNCT
ejpam-4747	446	1	so	so	ADV
ejpam-4747	446	2	,	,	PUNCT
ejpam-4747	446	3	g1(x	g1(x	NOUN
ejpam-4747	446	4	,	,	PUNCT
ejpam-4747	446	5	t	t	PROPN
ejpam-4747	446	6	)	)	PUNCT
ejpam-4747	446	7	=	=	NOUN
ejpam-4747	446	8	−gn−1	−gn−1	X
ejpam-4747	446	9	[	[	PUNCT
ejpam-4747	446	10	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	446	11	)	)	PUNCT
ejpam-4747	446	12	σ(ϑ	σ(ϑ	VERB
ejpam-4747	446	13	)	)	PUNCT
ejpam-4747	447	1	gn	gn	PROPN
ejpam-4747	447	2	[	[	PUNCT
ejpam-4747	447	3	h1	h1	NOUN
ejpam-4747	447	4	0	0	NUM
ejpam-4747	447	5	−	−	PROPN
ejpam-4747	447	6	g0	g0	PROPN
ejpam-4747	447	7	+	+	PROPN
ejpam-4747	447	8	h2	h2	NOUN
ejpam-4747	447	9	0	0	NUM
ejpam-4747	448	1	]	]	X
ejpam-4747	448	2	]	]	X
ejpam-4747	448	3	=	=	X
ejpam-4747	448	4	−gn−1	−gn−1	X
ejpam-4747	448	5	[	[	PUNCT
ejpam-4747	448	6	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	448	7	)	)	PUNCT
ejpam-4747	448	8	σ(ϑ	σ(ϑ	VERB
ejpam-4747	448	9	)	)	PUNCT
ejpam-4747	449	1	gn	gn	PROPN
ejpam-4747	449	2	[	[	PUNCT
ejpam-4747	449	3	−e−2x	−e−2x	NOUN
ejpam-4747	449	4	−	−	PROPN
ejpam-4747	449	5	e−x	e−x	NOUN
ejpam-4747	449	6	+	+	CCONJ
ejpam-4747	449	7	e−2x	e−2x	NOUN
ejpam-4747	449	8	]	]	X
ejpam-4747	449	9	]	]	X
ejpam-4747	449	10	=	=	X
ejpam-4747	449	11	gn−1	gn−1	PROPN
ejpam-4747	449	12	[	[	PUNCT
ejpam-4747	449	13	ψ(ϑ)e−x	ψ(ϑ)e−x	PROPN
ejpam-4747	449	14	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	449	15	)	)	PUNCT
ejpam-4747	449	16	gn	gn	PROPN
ejpam-4747	450	1	[	[	X
ejpam-4747	450	2	1	1	NUM
ejpam-4747	450	3	]	]	PUNCT
ejpam-4747	450	4	]	]	PUNCT
ejpam-4747	451	1	=	=	X
ejpam-4747	451	2	gn−1	gn−1	PROPN
ejpam-4747	451	3	[	[	PUNCT
ejpam-4747	451	4	ψ(ϑ)e−x	ψ(ϑ)e−x	PROPN
ejpam-4747	451	5	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	451	6	)	)	PUNCT
ejpam-4747	451	7	×	×	NOUN
ejpam-4747	451	8	h(ϑ	h(ϑ	PROPN
ejpam-4747	451	9	)	)	PUNCT
ejpam-4747	451	10	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	451	11	)	)	PUNCT
ejpam-4747	451	12	]	]	PUNCT
ejpam-4747	451	13	,	,	PUNCT
ejpam-4747	451	14	then	then	ADV
ejpam-4747	451	15	,	,	PUNCT
ejpam-4747	451	16	g1(x	g1(x	PROPN
ejpam-4747	451	17	,	,	PUNCT
ejpam-4747	451	18	t	t	PROPN
ejpam-4747	451	19	)	)	PUNCT
ejpam-4747	451	20	=	=	PROPN
ejpam-4747	451	21	t	t	NUM
ejpam-4747	451	22	e−x	e−x	PROPN
ejpam-4747	451	23	.	.	PUNCT
ejpam-4747	452	1	(	(	PUNCT
ejpam-4747	452	2	54	54	NUM
ejpam-4747	452	3	)	)	PUNCT
ejpam-4747	452	4	the	the	DET
ejpam-4747	452	5	next	next	ADJ
ejpam-4747	452	6	step	step	NOUN
ejpam-4747	452	7	,	,	PUNCT
ejpam-4747	452	8	we	we	PRON
ejpam-4747	452	9	need	need	VERB
ejpam-4747	452	10	,	,	PUNCT
ejpam-4747	452	11	h1	h1	VERB
ejpam-4747	452	12	1	1	NUM
ejpam-4747	452	13	=	=	NOUN
ejpam-4747	452	14	g0	g0	NOUN
ejpam-4747	452	15	g	g	NOUN
ejpam-4747	452	16	′	′	NUM
ejpam-4747	452	17	1	1	NUM
ejpam-4747	452	18	+	+	CCONJ
ejpam-4747	452	19	g1	g1	VERB
ejpam-4747	452	20	g	g	NOUN
ejpam-4747	452	21	′	′	NUM
ejpam-4747	452	22	0	0	NUM
ejpam-4747	453	1	=	=	PUNCT
ejpam-4747	453	2	−2te−2x	−2te−2x	PROPN
ejpam-4747	453	3	,	,	PUNCT
ejpam-4747	453	4	(	(	PUNCT
ejpam-4747	453	5	55	55	NUM
ejpam-4747	453	6	)	)	PUNCT
ejpam-4747	453	7	h2	h2	NOUN
ejpam-4747	453	8	1	1	NUM
ejpam-4747	453	9	=	=	SYM
ejpam-4747	453	10	2g0g1	2g0g1	NUM
ejpam-4747	453	11	=	=	SYM
ejpam-4747	453	12	2te−2x	2te−2x	NUM
ejpam-4747	453	13	.	.	PUNCT
ejpam-4747	454	1	(	(	PUNCT
ejpam-4747	454	2	56	56	NUM
ejpam-4747	454	3	)	)	PUNCT
ejpam-4747	454	4	so	so	ADV
ejpam-4747	454	5	,	,	PUNCT
ejpam-4747	454	6	the	the	DET
ejpam-4747	454	7	second	second	ADJ
ejpam-4747	454	8	iteration	iteration	NOUN
ejpam-4747	454	9	is	be	AUX
ejpam-4747	454	10	:	:	PUNCT
ejpam-4747	454	11	g2(x	g2(x	PROPN
ejpam-4747	454	12	,	,	PUNCT
ejpam-4747	454	13	t	t	PROPN
ejpam-4747	454	14	)	)	PUNCT
ejpam-4747	455	1	=	=	NOUN
ejpam-4747	455	2	−gn−1	−gn−1	X
ejpam-4747	455	3	[	[	PUNCT
ejpam-4747	455	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	455	5	)	)	PUNCT
ejpam-4747	455	6	σ(ϑ	σ(ϑ	VERB
ejpam-4747	455	7	)	)	PUNCT
ejpam-4747	456	1	gn	gn	PROPN
ejpam-4747	456	2	[	[	PUNCT
ejpam-4747	456	3	h1	h1	PROPN
ejpam-4747	456	4	1	1	NUM
ejpam-4747	456	5	−	−	PROPN
ejpam-4747	456	6	g1	g1	NOUN
ejpam-4747	456	7	+	+	NOUN
ejpam-4747	456	8	h2	h2	NOUN
ejpam-4747	456	9	1	1	NUM
ejpam-4747	456	10	]	]	PUNCT
ejpam-4747	456	11	]	]	X
ejpam-4747	457	1	=	=	X
ejpam-4747	457	2	−gn−1	−gn−1	X
ejpam-4747	457	3	[	[	PUNCT
ejpam-4747	457	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	457	5	)	)	PUNCT
ejpam-4747	457	6	σ(ϑ	σ(ϑ	VERB
ejpam-4747	457	7	)	)	PUNCT
ejpam-4747	457	8	gn	gn	PROPN
ejpam-4747	457	9	[	[	PUNCT
ejpam-4747	457	10	−2te−2x	−2te−2x	NOUN
ejpam-4747	457	11	−	−	PROPN
ejpam-4747	457	12	te−x	te−x	NOUN
ejpam-4747	457	13	+	+	CCONJ
ejpam-4747	457	14	2te−2x	2te−2x	NUM
ejpam-4747	457	15	]	]	X
ejpam-4747	457	16	]	]	X
ejpam-4747	458	1	=	=	X
ejpam-4747	458	2	gn−1	gn−1	PROPN
ejpam-4747	458	3	[	[	PUNCT
ejpam-4747	458	4	ψ(ϑ)e−x	ψ(ϑ)e−x	PROPN
ejpam-4747	458	5	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	458	6	)	)	PUNCT
ejpam-4747	458	7	gn	gn	PROPN
ejpam-4747	459	1	[	[	X
ejpam-4747	459	2	t	t	X
ejpam-4747	459	3	]	]	X
ejpam-4747	459	4	]	]	PUNCT
ejpam-4747	460	1	=	=	X
ejpam-4747	460	2	gn−1	gn−1	PROPN
ejpam-4747	460	3	[	[	PUNCT
ejpam-4747	460	4	ψ(ϑ)e−x	ψ(ϑ)e−x	PROPN
ejpam-4747	460	5	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	460	6	)	)	PUNCT
ejpam-4747	460	7	×	×	NOUN
ejpam-4747	460	8	h(ϑ)ψ(ϑ	h(ϑ)ψ(ϑ	X
ejpam-4747	460	9	)	)	PUNCT
ejpam-4747	460	10	σ2(ϑ	σ2(ϑ	PROPN
ejpam-4747	460	11	)	)	PUNCT
ejpam-4747	460	12	]	]	PUNCT
ejpam-4747	461	1	=	=	X
ejpam-4747	461	2	e−xgn−1	e−xgn−1	PROPN
ejpam-4747	461	3	[	[	PUNCT
ejpam-4747	461	4	h(ϑ)ψ2(ϑ	h(ϑ)ψ2(ϑ	NOUN
ejpam-4747	461	5	)	)	PUNCT
ejpam-4747	461	6	σ3(ϑ	σ3(ϑ	PROPN
ejpam-4747	461	7	)	)	PUNCT
ejpam-4747	461	8	]	]	PUNCT
ejpam-4747	461	9	,	,	PUNCT
ejpam-4747	461	10	j.i	j.i	PROPN
ejpam-4747	461	11	.	.	PROPN
ejpam-4747	461	12	mustafa	mustafa	PROPN
ejpam-4747	461	13	/	/	SYM
ejpam-4747	461	14	eur	eur	PROPN
ejpam-4747	461	15	.	.	PUNCT
ejpam-4747	462	1	j.	j.	PROPN
ejpam-4747	462	2	pure	pure	PROPN
ejpam-4747	462	3	appl	appl	PROPN
ejpam-4747	462	4	.	.	PROPN
ejpam-4747	462	5	math	math	PROPN
ejpam-4747	462	6	,	,	PUNCT
ejpam-4747	462	7	16	16	NUM
ejpam-4747	462	8	(	(	PUNCT
ejpam-4747	462	9	2	2	NUM
ejpam-4747	462	10	)	)	PUNCT
ejpam-4747	462	11	(	(	PUNCT
ejpam-4747	462	12	2023	2023	NUM
ejpam-4747	462	13	)	)	PUNCT
ejpam-4747	462	14	,	,	PUNCT
ejpam-4747	462	15	1024	1024	NUM
ejpam-4747	462	16	-	-	SYM
ejpam-4747	462	17	1046	1046	NUM
ejpam-4747	462	18	1038	1038	NUM
ejpam-4747	462	19	figure	figure	NOUN
ejpam-4747	462	20	1	1	NUM
ejpam-4747	462	21	:	:	PUNCT
ejpam-4747	462	22	the	the	DET
ejpam-4747	462	23	plot	plot	NOUN
ejpam-4747	462	24	of	of	ADP
ejpam-4747	462	25	the	the	DET
ejpam-4747	462	26	solution	solution	NOUN
ejpam-4747	462	27	(	(	PUNCT
ejpam-4747	462	28	59	59	NUM
ejpam-4747	462	29	)	)	PUNCT
ejpam-4747	462	30	then	then	ADV
ejpam-4747	462	31	,	,	PUNCT
ejpam-4747	462	32	g2(x	g2(x	PROPN
ejpam-4747	462	33	,	,	PUNCT
ejpam-4747	462	34	t	t	PROPN
ejpam-4747	462	35	)	)	PUNCT
ejpam-4747	462	36	=	=	SYM
ejpam-4747	462	37	1	1	NUM
ejpam-4747	462	38	2	2	NUM
ejpam-4747	462	39	t2	t2	NOUN
ejpam-4747	462	40	e−x	e−x	NOUN
ejpam-4747	462	41	,	,	PUNCT
ejpam-4747	462	42	(	(	PUNCT
ejpam-4747	462	43	57	57	NUM
ejpam-4747	462	44	)	)	PUNCT
ejpam-4747	462	45	and	and	CCONJ
ejpam-4747	462	46	so	so	ADV
ejpam-4747	462	47	on	on	ADV
ejpam-4747	462	48	,	,	PUNCT
ejpam-4747	462	49	g(x	g(x	PROPN
ejpam-4747	462	50	,	,	PUNCT
ejpam-4747	462	51	t	t	PROPN
ejpam-4747	462	52	)	)	PUNCT
ejpam-4747	462	53	=	=	VERB
ejpam-4747	463	1	lim	lim	PROPN
ejpam-4747	463	2	n→∞	n→∞	NUM
ejpam-4747	464	1	n∑	n∑	NOUN
ejpam-4747	464	2	k=0	k=0	PROPN
ejpam-4747	464	3	gk(x	gk(x	X
ejpam-4747	464	4	,	,	PUNCT
ejpam-4747	464	5	t	t	PROPN
ejpam-4747	464	6	)	)	PUNCT
ejpam-4747	464	7	=	=	SYM
ejpam-4747	464	8	e−x	e−x	NOUN
ejpam-4747	464	9	+	+	CCONJ
ejpam-4747	464	10	te−x	te−x	ADJ
ejpam-4747	464	11	+	+	CCONJ
ejpam-4747	464	12	1	1	NUM
ejpam-4747	464	13	2	2	NUM
ejpam-4747	464	14	t2e−x	t2e−x	NOUN
ejpam-4747	464	15	+	+	X
ejpam-4747	464	16	.	.	PUNCT
ejpam-4747	464	17	.	.	PUNCT
ejpam-4747	464	18	.	.	PUNCT
ejpam-4747	464	19	.	.	PUNCT
ejpam-4747	465	1	(	(	PUNCT
ejpam-4747	465	2	58	58	NUM
ejpam-4747	465	3	)	)	PUNCT
ejpam-4747	465	4	in	in	ADP
ejpam-4747	465	5	such	such	DET
ejpam-4747	465	6	a	a	DET
ejpam-4747	465	7	way	way	NOUN
ejpam-4747	465	8	,	,	PUNCT
ejpam-4747	465	9	the	the	DET
ejpam-4747	465	10	series	series	NOUN
ejpam-4747	465	11	solution	solution	NOUN
ejpam-4747	465	12	(	(	PUNCT
ejpam-4747	465	13	58	58	NUM
ejpam-4747	465	14	)	)	PUNCT
ejpam-4747	465	15	of	of	ADP
ejpam-4747	465	16	(	(	PUNCT
ejpam-4747	465	17	48	48	NUM
ejpam-4747	465	18	)	)	PUNCT
ejpam-4747	465	19	represents	represent	VERB
ejpam-4747	465	20	taylor	taylor	PROPN
ejpam-4747	465	21	’s	’s	PART
ejpam-4747	465	22	expansion	expansion	NOUN
ejpam-4747	465	23	of	of	ADP
ejpam-4747	465	24	the	the	DET
ejpam-4747	465	25	function	function	NOUN
ejpam-4747	465	26	g(x	g(x	PROPN
ejpam-4747	465	27	,	,	PUNCT
ejpam-4747	465	28	t	t	PROPN
ejpam-4747	465	29	)	)	PUNCT
ejpam-4747	465	30	g(x	g(x	PROPN
ejpam-4747	465	31	,	,	PUNCT
ejpam-4747	465	32	t	t	NOUN
ejpam-4747	465	33	)	)	PUNCT
ejpam-4747	465	34	=	=	NOUN
ejpam-4747	465	35	et−x	et−x	NOUN
ejpam-4747	465	36	,	,	PUNCT
ejpam-4747	465	37	(	(	PUNCT
ejpam-4747	465	38	59	59	NUM
ejpam-4747	465	39	)	)	PUNCT
ejpam-4747	465	40	in	in	ADP
ejpam-4747	465	41	the	the	DET
ejpam-4747	465	42	variable	variable	ADJ
ejpam-4747	465	43	t	t	PROPN
ejpam-4747	465	44	(	(	PUNCT
ejpam-4747	465	45	see	see	VERB
ejpam-4747	465	46	figure	figure	NOUN
ejpam-4747	465	47	(	(	PUNCT
ejpam-4747	465	48	1	1	NUM
ejpam-4747	465	49	)	)	PUNCT
ejpam-4747	465	50	)	)	PUNCT
ejpam-4747	465	51	.	.	PUNCT
ejpam-4747	466	1	example	example	NOUN
ejpam-4747	467	1	2	2	NUM
ejpam-4747	467	2	.	.	X
ejpam-4747	467	3	meditate	meditate	VERB
ejpam-4747	467	4	the	the	DET
ejpam-4747	467	5	system	system	NOUN
ejpam-4747	467	6	of	of	ADP
ejpam-4747	467	7	nonlinear	nonlinear	ADJ
ejpam-4747	467	8	burgers	burger	NOUN
ejpam-4747	467	9	’	'	PUNCT
ejpam-4747	467	10	equation	equation	NOUN
ejpam-4747	467	11	,	,	PUNCT
ejpam-4747	467	12	gt(x	gt(x	PROPN
ejpam-4747	467	13	,	,	PUNCT
ejpam-4747	467	14	t)−gxx(x	t)−gxx(x	PROPN
ejpam-4747	467	15	,	,	PUNCT
ejpam-4747	467	16	t)−	t)−	PROPN
ejpam-4747	467	17	2	2	NUM
ejpam-4747	467	18	g(x	g(x	NOUN
ejpam-4747	467	19	,	,	PUNCT
ejpam-4747	467	20	t	t	NOUN
ejpam-4747	467	21	)	)	PUNCT
ejpam-4747	467	22	gx(x	gx(x	NOUN
ejpam-4747	467	23	,	,	PUNCT
ejpam-4747	467	24	t	t	PROPN
ejpam-4747	467	25	)	)	PUNCT
ejpam-4747	468	1	+	+	CCONJ
ejpam-4747	468	2	(	(	PUNCT
ejpam-4747	468	3	g(x	g(x	NOUN
ejpam-4747	468	4	,	,	PUNCT
ejpam-4747	468	5	t)v(x	t)v(x	NUM
ejpam-4747	468	6	,	,	PUNCT
ejpam-4747	468	7	t))x	t))x	NOUN
ejpam-4747	468	8	=	=	SYM
ejpam-4747	468	9	0	0	NUM
ejpam-4747	468	10	,	,	PUNCT
ejpam-4747	468	11	vt(x	vt(x	NUM
ejpam-4747	468	12	,	,	PUNCT
ejpam-4747	468	13	t)−vxx(x	t)−vxx(x	NOUN
ejpam-4747	468	14	,	,	PUNCT
ejpam-4747	468	15	t)−	t)−	PROPN
ejpam-4747	468	16	2	2	NUM
ejpam-4747	468	17	v(x	v(x	PROPN
ejpam-4747	468	18	,	,	PUNCT
ejpam-4747	468	19	t	t	NOUN
ejpam-4747	468	20	)	)	PUNCT
ejpam-4747	468	21	vx(x	vx(x	NOUN
ejpam-4747	468	22	,	,	PUNCT
ejpam-4747	468	23	t	t	PROPN
ejpam-4747	468	24	)	)	PUNCT
ejpam-4747	469	1	+	+	CCONJ
ejpam-4747	469	2	(	(	PUNCT
ejpam-4747	469	3	g(x	g(x	NOUN
ejpam-4747	469	4	,	,	PUNCT
ejpam-4747	469	5	t)v(x	t)v(x	NUM
ejpam-4747	469	6	,	,	PUNCT
ejpam-4747	469	7	t))x	t))x	NOUN
ejpam-4747	469	8	=	=	SYM
ejpam-4747	469	9	0	0	NUM
ejpam-4747	469	10	,	,	PUNCT
ejpam-4747	469	11	(	(	PUNCT
ejpam-4747	469	12	60	60	NUM
ejpam-4747	469	13	)	)	PUNCT
ejpam-4747	469	14	g(x	g(x	NOUN
ejpam-4747	469	15	,	,	PUNCT
ejpam-4747	469	16	0	0	NUM
ejpam-4747	469	17	)	)	PUNCT
ejpam-4747	469	18	=	=	SYM
ejpam-4747	469	19	sin(x	sin(x	PROPN
ejpam-4747	469	20	)	)	PUNCT
ejpam-4747	469	21	=	=	SYM
ejpam-4747	470	1	v(x	v(x	NOUN
ejpam-4747	470	2	,	,	PUNCT
ejpam-4747	470	3	0	0	NUM
ejpam-4747	470	4	)	)	PUNCT
ejpam-4747	470	5	.	.	PUNCT
ejpam-4747	471	1	here	here	ADV
ejpam-4747	471	2	,	,	PUNCT
ejpam-4747	471	3	g(x	g(x	PROPN
ejpam-4747	471	4	,	,	PUNCT
ejpam-4747	471	5	t	t	PROPN
ejpam-4747	471	6	)	)	PUNCT
ejpam-4747	471	7	=	=	SYM
ejpam-4747	471	8	0	0	X
ejpam-4747	471	9	.	.	PUNCT
ejpam-4747	471	10	first	first	ADV
ejpam-4747	471	11	apply	apply	VERB
ejpam-4747	471	12	the	the	DET
ejpam-4747	471	13	gn	gn	PROPN
ejpam-4747	471	14	of	of	ADP
ejpam-4747	471	15	integral	integral	ADJ
ejpam-4747	471	16	transforms	transform	NOUN
ejpam-4747	471	17	of	of	ADP
ejpam-4747	471	18	(	(	PUNCT
ejpam-4747	471	19	60	60	NUM
ejpam-4747	471	20	):	):	PUNCT
ejpam-4747	471	21	−h(ϑ	−h(ϑ	PROPN
ejpam-4747	471	22	)	)	PUNCT
ejpam-4747	471	23	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	471	24	)	)	PUNCT
ejpam-4747	471	25	g(x	g(x	NOUN
ejpam-4747	471	26	,	,	PUNCT
ejpam-4747	471	27	0	0	NUM
ejpam-4747	471	28	)	)	PUNCT
ejpam-4747	472	1	+	+	CCONJ
ejpam-4747	472	2	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	472	3	)	)	PUNCT
ejpam-4747	472	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	472	5	)	)	PUNCT
ejpam-4747	472	6	gn	gn	PROPN
ejpam-4747	473	1	[	[	X
ejpam-4747	473	2	g(x	g(x	PROPN
ejpam-4747	473	3	,	,	PUNCT
ejpam-4747	473	4	t	t	PROPN
ejpam-4747	473	5	)	)	PUNCT
ejpam-4747	473	6	]	]	PUNCT
ejpam-4747	474	1	=	=	PUNCT
ejpam-4747	474	2	−gn	−gn	NOUN
ejpam-4747	474	3	[	[	X
ejpam-4747	474	4	−gxx(x	−gxx(x	PROPN
ejpam-4747	474	5	,	,	PUNCT
ejpam-4747	474	6	t)−	t)−	PROPN
ejpam-4747	474	7	2g(x	2g(x	NUM
ejpam-4747	474	8	,	,	PUNCT
ejpam-4747	474	9	t)gx(x	t)gx(x	PROPN
ejpam-4747	474	10	,	,	PUNCT
ejpam-4747	474	11	t	t	PROPN
ejpam-4747	474	12	)	)	PUNCT
ejpam-4747	475	1	+	+	CCONJ
ejpam-4747	475	2	(	(	PUNCT
ejpam-4747	475	3	g(x	g(x	NOUN
ejpam-4747	475	4	,	,	PUNCT
ejpam-4747	475	5	t)v(x	t)v(x	NUM
ejpam-4747	475	6	,	,	PUNCT
ejpam-4747	475	7	t))x	t))x	NOUN
ejpam-4747	475	8	]	]	PUNCT
ejpam-4747	475	9	,	,	PUNCT
ejpam-4747	475	10	−h(ϑ	−h(ϑ	PROPN
ejpam-4747	475	11	)	)	PUNCT
ejpam-4747	475	12	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	475	13	)	)	PUNCT
ejpam-4747	475	14	g(x	g(x	NOUN
ejpam-4747	475	15	,	,	PUNCT
ejpam-4747	475	16	0	0	NUM
ejpam-4747	475	17	)	)	PUNCT
ejpam-4747	476	1	+	+	CCONJ
ejpam-4747	476	2	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	476	3	)	)	PUNCT
ejpam-4747	476	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	476	5	)	)	PUNCT
ejpam-4747	476	6	gn	gn	PROPN
ejpam-4747	477	1	[	[	X
ejpam-4747	477	2	g(x	g(x	PROPN
ejpam-4747	477	3	,	,	PUNCT
ejpam-4747	477	4	t	t	PROPN
ejpam-4747	477	5	)	)	PUNCT
ejpam-4747	477	6	]	]	PUNCT
ejpam-4747	478	1	=	=	PUNCT
ejpam-4747	478	2	−gn	−gn	NOUN
ejpam-4747	478	3	[	[	X
ejpam-4747	478	4	−vxx(x	−vxx(x	NOUN
ejpam-4747	478	5	,	,	PUNCT
ejpam-4747	478	6	t)−	t)−	PROPN
ejpam-4747	478	7	2v(x	2v(x	NUM
ejpam-4747	478	8	,	,	PUNCT
ejpam-4747	478	9	t)vx(x	t)vx(x	NOUN
ejpam-4747	478	10	,	,	PUNCT
ejpam-4747	478	11	t	t	PROPN
ejpam-4747	478	12	)	)	PUNCT
ejpam-4747	478	13	+	+	CCONJ
ejpam-4747	478	14	(	(	PUNCT
ejpam-4747	478	15	g(x	g(x	NOUN
ejpam-4747	478	16	,	,	PUNCT
ejpam-4747	478	17	t)v(x	t)v(x	NUM
ejpam-4747	478	18	,	,	PUNCT
ejpam-4747	478	19	t))x	t))x	NOUN
ejpam-4747	478	20	]	]	PUNCT
ejpam-4747	478	21	,	,	PUNCT
ejpam-4747	478	22	(	(	PUNCT
ejpam-4747	478	23	61	61	NUM
ejpam-4747	478	24	)	)	PUNCT
ejpam-4747	478	25	j.i	j.i	PROPN
ejpam-4747	478	26	.	.	PROPN
ejpam-4747	478	27	mustafa	mustafa	PROPN
ejpam-4747	478	28	/	/	SYM
ejpam-4747	478	29	eur	eur	PROPN
ejpam-4747	478	30	.	.	PUNCT
ejpam-4747	479	1	j.	j.	PROPN
ejpam-4747	479	2	pure	pure	PROPN
ejpam-4747	479	3	appl	appl	PROPN
ejpam-4747	479	4	.	.	PROPN
ejpam-4747	479	5	math	math	PROPN
ejpam-4747	479	6	,	,	PUNCT
ejpam-4747	479	7	16	16	NUM
ejpam-4747	479	8	(	(	PUNCT
ejpam-4747	479	9	2	2	NUM
ejpam-4747	479	10	)	)	PUNCT
ejpam-4747	479	11	(	(	PUNCT
ejpam-4747	479	12	2023	2023	NUM
ejpam-4747	479	13	)	)	PUNCT
ejpam-4747	479	14	,	,	PUNCT
ejpam-4747	479	15	1024	1024	NUM
ejpam-4747	479	16	-	-	SYM
ejpam-4747	479	17	1046	1046	NUM
ejpam-4747	479	18	1039	1039	NUM
ejpam-4747	479	19	apply	apply	VERB
ejpam-4747	479	20	gn−1	gn−1	NOUN
ejpam-4747	479	21	to	to	ADP
ejpam-4747	479	22	(	(	PUNCT
ejpam-4747	479	23	61	61	NUM
ejpam-4747	479	24	)	)	PUNCT
ejpam-4747	479	25	,	,	PUNCT
ejpam-4747	479	26	then	then	ADV
ejpam-4747	479	27	we	we	PRON
ejpam-4747	479	28	obtain	obtain	VERB
ejpam-4747	479	29	:	:	PUNCT
ejpam-4747	479	30	g(x	g(x	NUM
ejpam-4747	479	31	,	,	PUNCT
ejpam-4747	479	32	t	t	PROPN
ejpam-4747	479	33	)	)	PUNCT
ejpam-4747	480	1	=	=	SYM
ejpam-4747	480	2	g(x	g(x	NOUN
ejpam-4747	480	3	,	,	PUNCT
ejpam-4747	480	4	0)−gn−1	0)−gn−1	ADP
ejpam-4747	480	5	[	[	PUNCT
ejpam-4747	480	6	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	480	7	)	)	PUNCT
ejpam-4747	480	8	σ(ϑ	σ(ϑ	VERB
ejpam-4747	480	9	)	)	PUNCT
ejpam-4747	480	10	gn	gn	PROPN
ejpam-4747	481	1	[	[	X
ejpam-4747	481	2	−gxx(x	−gxx(x	PROPN
ejpam-4747	481	3	,	,	PUNCT
ejpam-4747	481	4	t)−	t)−	PROPN
ejpam-4747	481	5	2	2	NUM
ejpam-4747	481	6	g(x	g(x	NOUN
ejpam-4747	481	7	,	,	PUNCT
ejpam-4747	481	8	t	t	NOUN
ejpam-4747	481	9	)	)	PUNCT
ejpam-4747	481	10	gx(x	gx(x	NOUN
ejpam-4747	481	11	,	,	PUNCT
ejpam-4747	481	12	t	t	PROPN
ejpam-4747	481	13	)	)	PUNCT
ejpam-4747	482	1	+	+	CCONJ
ejpam-4747	482	2	(	(	PUNCT
ejpam-4747	482	3	g(x	g(x	NOUN
ejpam-4747	482	4	,	,	PUNCT
ejpam-4747	482	5	t)v(x	t)v(x	NUM
ejpam-4747	482	6	,	,	PUNCT
ejpam-4747	482	7	t))x	t))x	NOUN
ejpam-4747	482	8	]	]	PUNCT
ejpam-4747	482	9	]	]	PUNCT
ejpam-4747	482	10	,	,	PUNCT
ejpam-4747	482	11	v(x	v(x	PROPN
ejpam-4747	482	12	,	,	PUNCT
ejpam-4747	482	13	t	t	PROPN
ejpam-4747	482	14	)	)	PUNCT
ejpam-4747	483	1	=	=	NOUN
ejpam-4747	483	2	v(x	v(x	NOUN
ejpam-4747	483	3	,	,	PUNCT
ejpam-4747	483	4	0)−gn−1	0)−gn−1	ADP
ejpam-4747	483	5	[	[	PUNCT
ejpam-4747	483	6	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	483	7	)	)	PUNCT
ejpam-4747	483	8	σ(ϑ	σ(ϑ	VERB
ejpam-4747	483	9	)	)	PUNCT
ejpam-4747	483	10	gn	gn	PROPN
ejpam-4747	484	1	[	[	X
ejpam-4747	484	2	−vxx(x	−vxx(x	NOUN
ejpam-4747	484	3	,	,	PUNCT
ejpam-4747	484	4	t)−	t)−	PROPN
ejpam-4747	484	5	2	2	NUM
ejpam-4747	484	6	v(x	v(x	PROPN
ejpam-4747	484	7	,	,	PUNCT
ejpam-4747	484	8	t	t	NOUN
ejpam-4747	484	9	)	)	PUNCT
ejpam-4747	484	10	vx(x	vx(x	NOUN
ejpam-4747	484	11	,	,	PUNCT
ejpam-4747	484	12	t	t	PROPN
ejpam-4747	484	13	)	)	PUNCT
ejpam-4747	484	14	+	+	CCONJ
ejpam-4747	484	15	(	(	PUNCT
ejpam-4747	484	16	g(x	g(x	NOUN
ejpam-4747	484	17	,	,	PUNCT
ejpam-4747	484	18	t)v(x	t)v(x	NUM
ejpam-4747	484	19	,	,	PUNCT
ejpam-4747	484	20	t))x	t))x	NOUN
ejpam-4747	484	21	]	]	PUNCT
ejpam-4747	484	22	]	]	PUNCT
ejpam-4747	484	23	.	.	PUNCT
ejpam-4747	485	1	(	(	PUNCT
ejpam-4747	485	2	62	62	NUM
ejpam-4747	485	3	)	)	PUNCT
ejpam-4747	485	4	now	now	ADV
ejpam-4747	485	5	,	,	PUNCT
ejpam-4747	485	6	we	we	PRON
ejpam-4747	485	7	deal	deal	VERB
ejpam-4747	485	8	with	with	ADP
ejpam-4747	485	9	the	the	DET
ejpam-4747	485	10	nonlinear	nonlinear	ADJ
ejpam-4747	485	11	parts	part	NOUN
ejpam-4747	485	12	g	g	PROPN
ejpam-4747	485	13	gx	gx	PROPN
ejpam-4747	485	14	,	,	PUNCT
ejpam-4747	485	15	v	v	NOUN
ejpam-4747	485	16	vx	vx	PROPN
ejpam-4747	485	17	and	and	CCONJ
ejpam-4747	485	18	(	(	PUNCT
ejpam-4747	485	19	g	g	PROPN
ejpam-4747	485	20	v)x	v)x	NOUN
ejpam-4747	485	21	by	by	ADP
ejpam-4747	485	22	using	use	VERB
ejpam-4747	485	23	he	he	PRON
ejpam-4747	485	24	’s	’s	PART
ejpam-4747	485	25	polynomial	polynomial	ADJ
ejpam-4747	485	26	and	and	CCONJ
ejpam-4747	485	27	the	the	DET
ejpam-4747	485	28	general	general	ADJ
ejpam-4747	485	29	formula	formula	NOUN
ejpam-4747	485	30	(	(	PUNCT
ejpam-4747	485	31	47	47	NUM
ejpam-4747	485	32	)	)	PUNCT
ejpam-4747	485	33	,	,	PUNCT
ejpam-4747	485	34	as	as	SCONJ
ejpam-4747	485	35	follows	follow	VERB
ejpam-4747	485	36	:	:	PUNCT
ejpam-4747	485	37	gn+1	gn+1	VERB
ejpam-4747	485	38	=	=	PRON
ejpam-4747	485	39	−gn−1	−gn−1	X
ejpam-4747	485	40	[	[	PUNCT
ejpam-4747	485	41	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	485	42	)	)	PUNCT
ejpam-4747	485	43	σ(ϑ	σ(ϑ	VERB
ejpam-4747	485	44	)	)	PUNCT
ejpam-4747	486	1	gn	gn	PROPN
ejpam-4747	486	2	[	[	PUNCT
ejpam-4747	486	3	−gn	−gn	PROPN
ejpam-4747	486	4	,	,	PUNCT
ejpam-4747	486	5	xx	xx	NUM
ejpam-4747	486	6	−	−	PROPN
ejpam-4747	486	7	2h1	2h1	NUM
ejpam-4747	486	8	n	n	PRON
ejpam-4747	486	9	+	+	ADJ
ejpam-4747	486	10	h2	h2	NOUN
ejpam-4747	486	11	n	n	X
ejpam-4747	486	12	]	]	X
ejpam-4747	486	13	]	]	PUNCT
ejpam-4747	486	14	,	,	PUNCT
ejpam-4747	486	15	vn+1	vn+1	PROPN
ejpam-4747	486	16	=	=	SYM
ejpam-4747	486	17	−gn−1	−gn−1	X
ejpam-4747	486	18	[	[	PUNCT
ejpam-4747	486	19	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	486	20	)	)	PUNCT
ejpam-4747	486	21	σ(ϑ	σ(ϑ	VERB
ejpam-4747	486	22	)	)	PUNCT
ejpam-4747	487	1	gn	gn	PROPN
ejpam-4747	487	2	[	[	PUNCT
ejpam-4747	487	3	−vn	−vn	NOUN
ejpam-4747	487	4	,	,	PUNCT
ejpam-4747	487	5	xx	xx	NUM
ejpam-4747	487	6	−	−	NUM
ejpam-4747	487	7	2h3	2h3	NUM
ejpam-4747	487	8	n	n	PRON
ejpam-4747	487	9	+	+	ADJ
ejpam-4747	487	10	h2	h2	NOUN
ejpam-4747	487	11	n	n	X
ejpam-4747	487	12	]	]	X
ejpam-4747	487	13	]	]	PUNCT
ejpam-4747	487	14	,	,	PUNCT
ejpam-4747	487	15	(	(	PUNCT
ejpam-4747	487	16	63	63	NUM
ejpam-4747	487	17	)	)	PUNCT
ejpam-4747	487	18	here	here	ADV
ejpam-4747	487	19	,	,	PUNCT
ejpam-4747	487	20	n	n	PRON
ejpam-4747	487	21	≥	≥	NOUN
ejpam-4747	487	22	0	0	NUM
ejpam-4747	487	23	,	,	PUNCT
ejpam-4747	487	24	h1	h1	NOUN
ejpam-4747	487	25	=	=	PUNCT
ejpam-4747	487	26	gg′	gg′	PROPN
ejpam-4747	487	27	,	,	PUNCT
ejpam-4747	487	28	h3	h3	NOUN
ejpam-4747	487	29	=	=	SYM
ejpam-4747	487	30	vv′	vv′	NOUN
ejpam-4747	487	31	and	and	CCONJ
ejpam-4747	487	32	h2	h2	NOUN
ejpam-4747	487	33	=	=	SYM
ejpam-4747	487	34	(	(	PUNCT
ejpam-4747	487	35	gv)x	gv)x	PROPN
ejpam-4747	487	36	,	,	PUNCT
ejpam-4747	487	37	and	and	CCONJ
ejpam-4747	487	38	since	since	SCONJ
ejpam-4747	487	39	g0	g0	NOUN
ejpam-4747	487	40	=	=	PROPN
ejpam-4747	487	41	v0	v0	PROPN
ejpam-4747	487	42	=	=	SYM
ejpam-4747	487	43	sin(x	sin(x	PROPN
ejpam-4747	487	44	)	)	PUNCT
ejpam-4747	487	45	,	,	PUNCT
ejpam-4747	487	46	h2	h2	NOUN
ejpam-4747	487	47	n	n	NOUN
ejpam-4747	487	48	=	=	PUNCT
ejpam-4747	487	49	(	(	PUNCT
ejpam-4747	487	50	gv)x	gv)x	PROPN
ejpam-4747	487	51	=	=	SYM
ejpam-4747	487	52	g2x	g2x	PROPN
ejpam-4747	487	53	or	or	CCONJ
ejpam-4747	487	54	v2x	v2x	VERB
ejpam-4747	487	55	,	,	PUNCT
ejpam-4747	487	56	then	then	ADV
ejpam-4747	487	57	using	use	VERB
ejpam-4747	487	58	the	the	DET
ejpam-4747	487	59	formula	formula	NOUN
ejpam-4747	487	60	(	(	PUNCT
ejpam-4747	487	61	45	45	NUM
ejpam-4747	487	62	)	)	PUNCT
ejpam-4747	487	63	yields	yield	NOUN
ejpam-4747	487	64	,	,	PUNCT
ejpam-4747	487	65	h1	h1	NOUN
ejpam-4747	487	66	0	0	NUM
ejpam-4747	487	67	=	=	NUM
ejpam-4747	487	68	g0	g0	NOUN
ejpam-4747	487	69	g	g	NOUN
ejpam-4747	487	70	′	′	NUM
ejpam-4747	487	71	0	0	NUM
ejpam-4747	488	1	=	=	SYM
ejpam-4747	488	2	sin(x	sin(x	PROPN
ejpam-4747	488	3	)	)	PUNCT
ejpam-4747	488	4	cos(x	cos(x	PROPN
ejpam-4747	488	5	)	)	PUNCT
ejpam-4747	488	6	,	,	PUNCT
ejpam-4747	488	7	g0(x	g0(x	PROPN
ejpam-4747	488	8	,	,	PUNCT
ejpam-4747	488	9	t	t	PROPN
ejpam-4747	488	10	)	)	PUNCT
ejpam-4747	488	11	=	=	SYM
ejpam-4747	489	1	g(x	g(x	NOUN
ejpam-4747	489	2	,	,	PUNCT
ejpam-4747	489	3	0	0	NUM
ejpam-4747	489	4	)	)	PUNCT
ejpam-4747	489	5	=	=	SYM
ejpam-4747	489	6	sin(x	sin(x	PROPN
ejpam-4747	489	7	)	)	PUNCT
ejpam-4747	489	8	,	,	PUNCT
ejpam-4747	489	9	h3	h3	NOUN
ejpam-4747	489	10	0	0	NOUN
ejpam-4747	490	1	=	=	NOUN
ejpam-4747	490	2	v0v	v0v	ADJ
ejpam-4747	490	3	′	′	NOUN
ejpam-4747	490	4	0	0	NUM
ejpam-4747	490	5	=	=	SYM
ejpam-4747	490	6	sin(x	sin(x	PROPN
ejpam-4747	490	7	)	)	PUNCT
ejpam-4747	490	8	cos(x	cos(x	PROPN
ejpam-4747	490	9	)	)	PUNCT
ejpam-4747	490	10	,	,	PUNCT
ejpam-4747	490	11	v0(x	v0(x	PROPN
ejpam-4747	490	12	,	,	PUNCT
ejpam-4747	490	13	t	t	PROPN
ejpam-4747	490	14	)	)	PUNCT
ejpam-4747	490	15	=	=	SYM
ejpam-4747	491	1	v(x	v(x	NOUN
ejpam-4747	491	2	,	,	PUNCT
ejpam-4747	491	3	0	0	NUM
ejpam-4747	491	4	)	)	PUNCT
ejpam-4747	491	5	=	=	SYM
ejpam-4747	491	6	sin(x	sin(x	PROPN
ejpam-4747	491	7	)	)	PUNCT
ejpam-4747	491	8	,	,	PUNCT
ejpam-4747	491	9	h2	h2	NOUN
ejpam-4747	491	10	0	0	NUM
ejpam-4747	491	11	=(	=(	ADJ
ejpam-4747	491	12	g20)x	g20)x	PROPN
ejpam-4747	491	13	=	=	PUNCT
ejpam-4747	491	14	2g0	2g0	NOUN
ejpam-4747	491	15	g	g	NOUN
ejpam-4747	491	16	′	′	NOUN
ejpam-4747	491	17	0	0	NUM
ejpam-4747	492	1	=	=	SYM
ejpam-4747	492	2	2	2	NUM
ejpam-4747	492	3	sin(x	sin(x	PROPN
ejpam-4747	492	4	)	)	PUNCT
ejpam-4747	492	5	cos(x	cos(x	PROPN
ejpam-4747	492	6	)	)	PUNCT
ejpam-4747	492	7	,	,	PUNCT
ejpam-4747	492	8	g1	g1	PROPN
ejpam-4747	492	9	=	=	PRON
ejpam-4747	492	10	−gn−1	−gn−1	X
ejpam-4747	492	11	[	[	PUNCT
ejpam-4747	492	12	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	492	13	)	)	PUNCT
ejpam-4747	492	14	σ(ϑ	σ(ϑ	VERB
ejpam-4747	492	15	)	)	PUNCT
ejpam-4747	493	1	gn	gn	PROPN
ejpam-4747	493	2	[	[	PUNCT
ejpam-4747	493	3	−g0,xx	−g0,xx	SYM
ejpam-4747	493	4	−	−	PROPN
ejpam-4747	493	5	2h1	2h1	NUM
ejpam-4747	493	6	0	0	PUNCT
ejpam-4747	494	1	+	+	NOUN
ejpam-4747	494	2	h2	h2	NOUN
ejpam-4747	494	3	0	0	NUM
ejpam-4747	494	4	]	]	X
ejpam-4747	494	5	]	]	PUNCT
ejpam-4747	494	6	,	,	PUNCT
ejpam-4747	494	7	v0	v0	NOUN
ejpam-4747	494	8	=	=	SYM
ejpam-4747	494	9	−gn−1	−gn−1	X
ejpam-4747	494	10	[	[	PUNCT
ejpam-4747	494	11	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	494	12	)	)	PUNCT
ejpam-4747	494	13	σ(ϑ	σ(ϑ	VERB
ejpam-4747	494	14	)	)	PUNCT
ejpam-4747	495	1	gn	gn	PROPN
ejpam-4747	495	2	[	[	PUNCT
ejpam-4747	495	3	−v0,xx	−v0,xx	ADV
ejpam-4747	495	4	−	−	PROPN
ejpam-4747	495	5	2h3	2h3	NUM
ejpam-4747	495	6	0	0	PUNCT
ejpam-4747	496	1	+	+	NUM
ejpam-4747	496	2	h2	h2	NOUN
ejpam-4747	496	3	0	0	NUM
ejpam-4747	496	4	]	]	X
ejpam-4747	496	5	]	]	PUNCT
ejpam-4747	496	6	,	,	PUNCT
ejpam-4747	496	7	g1	g1	PROPN
ejpam-4747	496	8	=	=	SYM
ejpam-4747	496	9	−gn−1	−gn−1	X
ejpam-4747	496	10	[	[	PUNCT
ejpam-4747	496	11	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	496	12	)	)	PUNCT
ejpam-4747	496	13	σ(ϑ	σ(ϑ	VERB
ejpam-4747	496	14	)	)	PUNCT
ejpam-4747	496	15	gn	gn	PROPN
ejpam-4747	497	1	[	[	X
ejpam-4747	497	2	sin(x)−	sin(x)−	PROPN
ejpam-4747	497	3	2	2	NUM
ejpam-4747	497	4	sin(x	sin(x	PROPN
ejpam-4747	497	5	)	)	PUNCT
ejpam-4747	497	6	cos(x	cos(x	PROPN
ejpam-4747	497	7	)	)	PUNCT
ejpam-4747	498	1	+	+	CCONJ
ejpam-4747	498	2	2	2	NUM
ejpam-4747	498	3	sin(x	sin(x	PROPN
ejpam-4747	498	4	)	)	PUNCT
ejpam-4747	498	5	cos(x	cos(x	PROPN
ejpam-4747	498	6	)	)	PUNCT
ejpam-4747	498	7	]	]	PUNCT
ejpam-4747	498	8	]	]	PUNCT
ejpam-4747	498	9	,	,	PUNCT
ejpam-4747	498	10	v1	v1	NOUN
ejpam-4747	498	11	=	=	SYM
ejpam-4747	498	12	−gn−1	−gn−1	X
ejpam-4747	498	13	[	[	PUNCT
ejpam-4747	498	14	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	498	15	)	)	PUNCT
ejpam-4747	498	16	σ(ϑ	σ(ϑ	VERB
ejpam-4747	498	17	)	)	PUNCT
ejpam-4747	498	18	gn	gn	PROPN
ejpam-4747	499	1	[	[	X
ejpam-4747	499	2	sin(x)−	sin(x)−	PROPN
ejpam-4747	499	3	2	2	NUM
ejpam-4747	499	4	sin(x	sin(x	PROPN
ejpam-4747	499	5	)	)	PUNCT
ejpam-4747	499	6	cos(x	cos(x	PROPN
ejpam-4747	499	7	)	)	PUNCT
ejpam-4747	500	1	+	+	CCONJ
ejpam-4747	500	2	2	2	NUM
ejpam-4747	500	3	sin(x	sin(x	PROPN
ejpam-4747	500	4	)	)	PUNCT
ejpam-4747	500	5	cos(x	cos(x	PROPN
ejpam-4747	500	6	)	)	PUNCT
ejpam-4747	500	7	]	]	PUNCT
ejpam-4747	500	8	]	]	PUNCT
ejpam-4747	500	9	,	,	PUNCT
ejpam-4747	500	10	g1	g1	PROPN
ejpam-4747	500	11	=	=	PROPN
ejpam-4747	500	12	−gn−1	−gn−1	X
ejpam-4747	500	13	[	[	PUNCT
ejpam-4747	500	14	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	500	15	)	)	PUNCT
ejpam-4747	500	16	σ(ϑ	σ(ϑ	VERB
ejpam-4747	500	17	)	)	PUNCT
ejpam-4747	500	18	sin(x	sin(x	PROPN
ejpam-4747	500	19	)	)	PUNCT
ejpam-4747	500	20	h(ϑ	h(ϑ	PROPN
ejpam-4747	500	21	)	)	PUNCT
ejpam-4747	500	22	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	500	23	)	)	PUNCT
ejpam-4747	500	24	]	]	PUNCT
ejpam-4747	500	25	,	,	PUNCT
ejpam-4747	500	26	v1	v1	NOUN
ejpam-4747	500	27	=	=	SYM
ejpam-4747	500	28	−gn−1	−gn−1	X
ejpam-4747	500	29	[	[	PUNCT
ejpam-4747	500	30	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	500	31	)	)	PUNCT
ejpam-4747	500	32	σ(ϑ	σ(ϑ	VERB
ejpam-4747	500	33	)	)	PUNCT
ejpam-4747	500	34	sin(x	sin(x	PROPN
ejpam-4747	500	35	)	)	PUNCT
ejpam-4747	500	36	h(ϑ	h(ϑ	PROPN
ejpam-4747	500	37	)	)	PUNCT
ejpam-4747	500	38	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	500	39	)	)	PUNCT
ejpam-4747	501	1	]	]	PUNCT
ejpam-4747	501	2	,	,	PUNCT
ejpam-4747	501	3	g1	g1	VERB
ejpam-4747	501	4	=	=	NOUN
ejpam-4747	501	5	−	−	PROPN
ejpam-4747	501	6	sin(x)t	sin(x)t	NOUN
ejpam-4747	501	7	,	,	PUNCT
ejpam-4747	501	8	v1	v1	NOUN
ejpam-4747	501	9	=	=	NOUN
ejpam-4747	501	10	−	−	NOUN
ejpam-4747	501	11	sin(x)t	sin(x)t	NOUN
ejpam-4747	501	12	.	.	PUNCT
ejpam-4747	502	1	j.i	j.i	PROPN
ejpam-4747	502	2	.	.	PROPN
ejpam-4747	502	3	mustafa	mustafa	PROPN
ejpam-4747	502	4	/	/	SYM
ejpam-4747	502	5	eur	eur	PROPN
ejpam-4747	502	6	.	.	PUNCT
ejpam-4747	503	1	j.	j.	PROPN
ejpam-4747	503	2	pure	pure	PROPN
ejpam-4747	503	3	appl	appl	PROPN
ejpam-4747	503	4	.	.	PROPN
ejpam-4747	503	5	math	math	PROPN
ejpam-4747	503	6	,	,	PUNCT
ejpam-4747	503	7	16	16	NUM
ejpam-4747	503	8	(	(	PUNCT
ejpam-4747	503	9	2	2	NUM
ejpam-4747	503	10	)	)	PUNCT
ejpam-4747	503	11	(	(	PUNCT
ejpam-4747	503	12	2023	2023	NUM
ejpam-4747	503	13	)	)	PUNCT
ejpam-4747	503	14	,	,	PUNCT
ejpam-4747	503	15	1024	1024	NUM
ejpam-4747	503	16	-	-	SYM
ejpam-4747	503	17	1046	1046	NUM
ejpam-4747	503	18	1040	1040	NUM
ejpam-4747	503	19	figure	figure	NOUN
ejpam-4747	503	20	2	2	NUM
ejpam-4747	503	21	:	:	PUNCT
ejpam-4747	503	22	the	the	DET
ejpam-4747	503	23	plot	plot	NOUN
ejpam-4747	503	24	of	of	ADP
ejpam-4747	503	25	the	the	DET
ejpam-4747	503	26	solution	solution	NOUN
ejpam-4747	503	27	(	(	PUNCT
ejpam-4747	503	28	65	65	NUM
ejpam-4747	503	29	)	)	PUNCT
ejpam-4747	504	1	so	so	ADV
ejpam-4747	504	2	,	,	PUNCT
ejpam-4747	504	3	in	in	ADP
ejpam-4747	504	4	the	the	DET
ejpam-4747	504	5	second	second	ADJ
ejpam-4747	504	6	iteration	iteration	NOUN
ejpam-4747	504	7	,	,	PUNCT
ejpam-4747	504	8	we	we	PRON
ejpam-4747	504	9	need	need	VERB
ejpam-4747	504	10	to	to	PART
ejpam-4747	504	11	find	find	VERB
ejpam-4747	504	12	the	the	DET
ejpam-4747	504	13	second	second	ADJ
ejpam-4747	504	14	he	he	PRON
ejpam-4747	504	15	’s	’	VERB
ejpam-4747	504	16	polynomial	polynomial	ADJ
ejpam-4747	504	17	,	,	PUNCT
ejpam-4747	504	18	h1	h1	PROPN
ejpam-4747	504	19	1	1	NUM
ejpam-4747	504	20	=	=	NOUN
ejpam-4747	504	21	g0	g0	NOUN
ejpam-4747	504	22	g	g	NOUN
ejpam-4747	504	23	′	′	NUM
ejpam-4747	504	24	1	1	NUM
ejpam-4747	504	25	+	+	CCONJ
ejpam-4747	504	26	g′0	g′0	ADJ
ejpam-4747	504	27	+	+	CCONJ
ejpam-4747	504	28	g1	g1	NOUN
ejpam-4747	504	29	=	=	SYM
ejpam-4747	504	30	2	2	NUM
ejpam-4747	504	31	sin(x	sin(x	PROPN
ejpam-4747	504	32	)	)	PUNCT
ejpam-4747	504	33	cos(x)t	cos(x)t	NOUN
ejpam-4747	504	34	,	,	PUNCT
ejpam-4747	504	35	h3	h3	VERB
ejpam-4747	504	36	1	1	NUM
ejpam-4747	504	37	=	=	NOUN
ejpam-4747	504	38	v0v	v0v	NOUN
ejpam-4747	504	39	′	′	NOUN
ejpam-4747	504	40	1	1	NUM
ejpam-4747	504	41	+	+	CCONJ
ejpam-4747	504	42	v′0	v′0	NOUN
ejpam-4747	504	43	+	+	CCONJ
ejpam-4747	504	44	v1	v1	NOUN
ejpam-4747	504	45	=	=	SYM
ejpam-4747	504	46	2	2	NUM
ejpam-4747	504	47	sin(x	sin(x	PROPN
ejpam-4747	504	48	)	)	PUNCT
ejpam-4747	504	49	cos(x)t	cos(x)t	NOUN
ejpam-4747	504	50	,	,	PUNCT
ejpam-4747	504	51	h2	h2	NOUN
ejpam-4747	504	52	1	1	NUM
ejpam-4747	504	53	=(	=(	NOUN
ejpam-4747	504	54	2g0g1)x	2g0g1)x	NOUN
ejpam-4747	504	55	=	=	NOUN
ejpam-4747	504	56	4	4	NUM
ejpam-4747	504	57	sin(x	sin(x	PROPN
ejpam-4747	504	58	)	)	PUNCT
ejpam-4747	504	59	cos(x)t	cos(x)t	NOUN
ejpam-4747	504	60	,	,	PUNCT
ejpam-4747	504	61	(	(	PUNCT
ejpam-4747	504	62	64	64	NUM
ejpam-4747	504	63	)	)	PUNCT
ejpam-4747	504	64	then	then	ADV
ejpam-4747	504	65	,	,	PUNCT
ejpam-4747	504	66	substitute	substitute	NOUN
ejpam-4747	504	67	(	(	PUNCT
ejpam-4747	504	68	64	64	NUM
ejpam-4747	504	69	)	)	PUNCT
ejpam-4747	504	70	into	into	ADP
ejpam-4747	504	71	the	the	DET
ejpam-4747	504	72	system	system	NOUN
ejpam-4747	504	73	(	(	PUNCT
ejpam-4747	504	74	63	63	NUM
ejpam-4747	504	75	)	)	PUNCT
ejpam-4747	504	76	,	,	PUNCT
ejpam-4747	504	77	yields	yield	NOUN
ejpam-4747	504	78	,	,	PUNCT
ejpam-4747	504	79	g2	g2	PROPN
ejpam-4747	504	80	=	=	NOUN
ejpam-4747	504	81	1	1	NUM
ejpam-4747	504	82	2	2	NUM
ejpam-4747	504	83	sin(x)t2	sin(x)t2	NOUN
ejpam-4747	504	84	,	,	PUNCT
ejpam-4747	504	85	v2	v2	NOUN
ejpam-4747	504	86	=	=	SYM
ejpam-4747	504	87	1	1	NUM
ejpam-4747	504	88	2	2	NUM
ejpam-4747	504	89	sin(x)t2	sin(x)t2	NOUN
ejpam-4747	504	90	,	,	PUNCT
ejpam-4747	504	91	and	and	CCONJ
ejpam-4747	504	92	so	so	ADV
ejpam-4747	504	93	on	on	ADV
ejpam-4747	504	94	,	,	PUNCT
ejpam-4747	504	95	then	then	ADV
ejpam-4747	504	96	,	,	PUNCT
ejpam-4747	504	97	the	the	DET
ejpam-4747	504	98	taylor	taylor	PROPN
ejpam-4747	504	99	’s	’s	PART
ejpam-4747	504	100	expansion	expansion	NOUN
ejpam-4747	504	101	of	of	ADP
ejpam-4747	504	102	g(x	g(x	PROPN
ejpam-4747	504	103	,	,	PUNCT
ejpam-4747	504	104	t	t	PROPN
ejpam-4747	504	105	)	)	PUNCT
ejpam-4747	504	106	and	and	CCONJ
ejpam-4747	504	107	v(x	v(x	PROPN
ejpam-4747	504	108	,	,	PUNCT
ejpam-4747	504	109	t	t	PROPN
ejpam-4747	504	110	)	)	PUNCT
ejpam-4747	504	111	give	give	VERB
ejpam-4747	504	112	the	the	DET
ejpam-4747	504	113	following	follow	VERB
ejpam-4747	504	114	solutions	solution	NOUN
ejpam-4747	504	115	(	(	PUNCT
ejpam-4747	504	116	see	see	VERB
ejpam-4747	504	117	figure	figure	NOUN
ejpam-4747	504	118	(	(	PUNCT
ejpam-4747	504	119	2	2	NUM
ejpam-4747	504	120	)	)	PUNCT
ejpam-4747	504	121	):	):	PUNCT
ejpam-4747	505	1	g(x	g(x	PROPN
ejpam-4747	505	2	,	,	PUNCT
ejpam-4747	505	3	t	t	PROPN
ejpam-4747	505	4	)	)	PUNCT
ejpam-4747	506	1	=	=	VERB
ejpam-4747	506	2	lim	lim	PROPN
ejpam-4747	506	3	n→∞	n→∞	X
ejpam-4747	507	1	n∑	n∑	PROPN
ejpam-4747	507	2	k=0	k=0	PROPN
ejpam-4747	507	3	gk	gk	PROPN
ejpam-4747	507	4	=	=	PROPN
ejpam-4747	507	5	sin(x)e−t	sin(x)e−t	PROPN
ejpam-4747	507	6	,	,	PUNCT
ejpam-4747	507	7	v(x	v(x	PROPN
ejpam-4747	507	8	,	,	PUNCT
ejpam-4747	507	9	t	t	PROPN
ejpam-4747	507	10	)	)	PUNCT
ejpam-4747	508	1	=	=	VERB
ejpam-4747	508	2	lim	lim	PROPN
ejpam-4747	508	3	n→∞	n→∞	NUM
ejpam-4747	509	1	n∑	n∑	PROPN
ejpam-4747	509	2	k=0	k=0	PROPN
ejpam-4747	509	3	vk	vk	PROPN
ejpam-4747	509	4	=	=	SYM
ejpam-4747	509	5	sin(x)e−t	sin(x)e−t	NOUN
ejpam-4747	509	6	.	.	PUNCT
ejpam-4747	510	1	(	(	PUNCT
ejpam-4747	510	2	65	65	NUM
ejpam-4747	510	3	)	)	PUNCT
ejpam-4747	510	4	example	example	NOUN
ejpam-4747	511	1	3	3	NUM
ejpam-4747	511	2	.	.	PUNCT
ejpam-4747	512	1	the	the	DET
ejpam-4747	512	2	non	non	ADJ
ejpam-4747	512	3	-	-	ADJ
ejpam-4747	512	4	homogeneous	homogeneous	ADJ
ejpam-4747	512	5	gas	gas	NOUN
ejpam-4747	512	6	dynamic	dynamic	ADJ
ejpam-4747	512	7	equation	equation	NOUN
ejpam-4747	512	8	is	be	AUX
ejpam-4747	512	9	given	give	VERB
ejpam-4747	512	10	below	below	ADV
ejpam-4747	512	11	,	,	PUNCT
ejpam-4747	512	12	gt(x	gt(x	PROPN
ejpam-4747	512	13	,	,	PUNCT
ejpam-4747	512	14	t	t	PROPN
ejpam-4747	512	15	)	)	PUNCT
ejpam-4747	512	16	=	=	NOUN
ejpam-4747	512	17	−	−	X
ejpam-4747	512	18	g(x	g(x	PROPN
ejpam-4747	512	19	,	,	PUNCT
ejpam-4747	512	20	t	t	NOUN
ejpam-4747	512	21	)	)	PUNCT
ejpam-4747	512	22	gx(x	gx(x	NOUN
ejpam-4747	512	23	,	,	PUNCT
ejpam-4747	512	24	t	t	PROPN
ejpam-4747	512	25	)	)	PUNCT
ejpam-4747	513	1	+	+	CCONJ
ejpam-4747	513	2	g(x	g(x	NOUN
ejpam-4747	513	3	,	,	PUNCT
ejpam-4747	513	4	t)(1−	t)(1−	ADJ
ejpam-4747	513	5	g(x	g(x	NOUN
ejpam-4747	513	6	,	,	PUNCT
ejpam-4747	513	7	t))−	t))−	NOUN
ejpam-4747	513	8	et−x	et−x	NOUN
ejpam-4747	513	9	,	,	PUNCT
ejpam-4747	513	10	(	(	PUNCT
ejpam-4747	513	11	66	66	NUM
ejpam-4747	513	12	)	)	PUNCT
ejpam-4747	513	13	g(x	g(x	NOUN
ejpam-4747	513	14	,	,	PUNCT
ejpam-4747	513	15	0	0	NUM
ejpam-4747	513	16	)	)	PUNCT
ejpam-4747	513	17	=	=	NOUN
ejpam-4747	513	18	1−	1−	NUM
ejpam-4747	513	19	e−x	e−x	NOUN
ejpam-4747	513	20	.	.	PUNCT
ejpam-4747	514	1	first	first	ADV
ejpam-4747	514	2	take	take	VERB
ejpam-4747	514	3	general	general	ADJ
ejpam-4747	514	4	integral	integral	ADJ
ejpam-4747	514	5	transform	transform	NOUN
ejpam-4747	514	6	of	of	ADP
ejpam-4747	514	7	(	(	PUNCT
ejpam-4747	514	8	66	66	NUM
ejpam-4747	514	9	)	)	PUNCT
ejpam-4747	514	10	as	as	ADP
ejpam-4747	514	11	:	:	PUNCT
ejpam-4747	514	12	−h(ϑ	−h(ϑ	PROPN
ejpam-4747	514	13	)	)	PUNCT
ejpam-4747	514	14	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	514	15	)	)	PUNCT
ejpam-4747	514	16	g(x	g(x	NOUN
ejpam-4747	514	17	,	,	PUNCT
ejpam-4747	514	18	0	0	NUM
ejpam-4747	514	19	)	)	PUNCT
ejpam-4747	515	1	+	+	CCONJ
ejpam-4747	515	2	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	515	3	)	)	PUNCT
ejpam-4747	515	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	515	5	)	)	PUNCT
ejpam-4747	515	6	gn	gn	PROPN
ejpam-4747	516	1	[	[	X
ejpam-4747	516	2	g(x	g(x	PROPN
ejpam-4747	516	3	,	,	PUNCT
ejpam-4747	516	4	t	t	PROPN
ejpam-4747	516	5	)	)	PUNCT
ejpam-4747	516	6	]	]	PUNCT
ejpam-4747	517	1	=	=	PUNCT
ejpam-4747	517	2	gn	gn	PROPN
ejpam-4747	518	1	[	[	X
ejpam-4747	518	2	−ggx	−ggx	NOUN
ejpam-4747	518	3	+	+	X
ejpam-4747	519	1	g	g	PROPN
ejpam-4747	519	2	−	−	PROPN
ejpam-4747	519	3	g2(x	g2(x	PROPN
ejpam-4747	519	4	,	,	PUNCT
ejpam-4747	519	5	t)]−gn	t)]−gn	NOUN
ejpam-4747	520	1	[	[	X
ejpam-4747	520	2	et−x	et−x	NOUN
ejpam-4747	520	3	]	]	X
ejpam-4747	520	4	,	,	PUNCT
ejpam-4747	520	5	j.i	j.i	PROPN
ejpam-4747	520	6	.	.	PROPN
ejpam-4747	520	7	mustafa	mustafa	PROPN
ejpam-4747	520	8	/	/	SYM
ejpam-4747	520	9	eur	eur	PROPN
ejpam-4747	520	10	.	.	PUNCT
ejpam-4747	521	1	j.	j.	PROPN
ejpam-4747	521	2	pure	pure	PROPN
ejpam-4747	521	3	appl	appl	PROPN
ejpam-4747	521	4	.	.	PROPN
ejpam-4747	521	5	math	math	PROPN
ejpam-4747	521	6	,	,	PUNCT
ejpam-4747	521	7	16	16	NUM
ejpam-4747	521	8	(	(	PUNCT
ejpam-4747	521	9	2	2	NUM
ejpam-4747	521	10	)	)	PUNCT
ejpam-4747	521	11	(	(	PUNCT
ejpam-4747	521	12	2023	2023	NUM
ejpam-4747	521	13	)	)	PUNCT
ejpam-4747	521	14	,	,	PUNCT
ejpam-4747	521	15	1024	1024	NUM
ejpam-4747	521	16	-	-	SYM
ejpam-4747	521	17	1046	1046	NUM
ejpam-4747	521	18	1041	1041	NUM
ejpam-4747	521	19	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	521	20	)	)	PUNCT
ejpam-4747	521	21	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	521	22	)	)	PUNCT
ejpam-4747	521	23	gn	gn	PROPN
ejpam-4747	522	1	[	[	X
ejpam-4747	522	2	g(x	g(x	PROPN
ejpam-4747	522	3	,	,	PUNCT
ejpam-4747	522	4	t	t	PROPN
ejpam-4747	522	5	)	)	PUNCT
ejpam-4747	522	6	]	]	PUNCT
ejpam-4747	522	7	=	=	PUNCT
ejpam-4747	522	8	h(ϑ	h(ϑ	PROPN
ejpam-4747	522	9	)	)	PUNCT
ejpam-4747	522	10	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	522	11	)	)	PUNCT
ejpam-4747	522	12	g(x	g(x	NOUN
ejpam-4747	522	13	,	,	PUNCT
ejpam-4747	522	14	0)−	0)−	NUM
ejpam-4747	522	15	e−x	e−x	PROPN
ejpam-4747	522	16	h(ϑ	h(ϑ	PROPN
ejpam-4747	522	17	)	)	PUNCT
ejpam-4747	522	18	σ(ϑ)−	σ(ϑ)−	PROPN
ejpam-4747	522	19	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	522	20	)	)	PUNCT
ejpam-4747	523	1	+	+	PROPN
ejpam-4747	523	2	gn	gn	X
ejpam-4747	523	3	[	[	X
ejpam-4747	523	4	−ggx	−ggx	NOUN
ejpam-4747	523	5	+	+	X
ejpam-4747	524	1	g	g	PROPN
ejpam-4747	524	2	−	−	PROPN
ejpam-4747	524	3	g2(x	g2(x	PROPN
ejpam-4747	524	4	,	,	PUNCT
ejpam-4747	524	5	t	t	PROPN
ejpam-4747	524	6	)	)	PUNCT
ejpam-4747	524	7	]	]	PUNCT
ejpam-4747	524	8	,	,	PUNCT
ejpam-4747	524	9	then	then	ADV
ejpam-4747	524	10	,	,	PUNCT
ejpam-4747	524	11	multiply	multiply	VERB
ejpam-4747	524	12	both	both	DET
ejpam-4747	524	13	side	side	NOUN
ejpam-4747	524	14	by	by	ADP
ejpam-4747	524	15	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	524	16	)	)	PUNCT
ejpam-4747	524	17	σ(ϑ	σ(ϑ	ADP
ejpam-4747	524	18	)	)	PUNCT
ejpam-4747	524	19	,	,	PUNCT
ejpam-4747	524	20	gives	give	VERB
ejpam-4747	524	21	,	,	PUNCT
ejpam-4747	524	22	gn	gn	PROPN
ejpam-4747	525	1	[	[	X
ejpam-4747	525	2	g(x	g(x	PROPN
ejpam-4747	525	3	,	,	PUNCT
ejpam-4747	525	4	t	t	PROPN
ejpam-4747	525	5	)	)	PUNCT
ejpam-4747	525	6	]	]	PUNCT
ejpam-4747	525	7	=	=	PUNCT
ejpam-4747	525	8	h(ϑ	h(ϑ	PROPN
ejpam-4747	525	9	)	)	PUNCT
ejpam-4747	525	10	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	525	11	)	)	PUNCT
ejpam-4747	525	12	(	(	PUNCT
ejpam-4747	525	13	1−	1−	NUM
ejpam-4747	525	14	e−x)−	e−x)−	PROPN
ejpam-4747	525	15	e−x	e−x	PROPN
ejpam-4747	525	16	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	525	17	)	)	PUNCT
ejpam-4747	525	18	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	525	19	)	)	PUNCT
ejpam-4747	525	20	h(ϑ	h(ϑ	PROPN
ejpam-4747	525	21	)	)	PUNCT
ejpam-4747	525	22	σ(ϑ)−	σ(ϑ)−	PROPN
ejpam-4747	525	23	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	525	24	)	)	PUNCT
ejpam-4747	525	25	+	+	CCONJ
ejpam-4747	525	26	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	525	27	)	)	PUNCT
ejpam-4747	525	28	σ(ϑ	σ(ϑ	VERB
ejpam-4747	525	29	)	)	PUNCT
ejpam-4747	525	30	gn	gn	PROPN
ejpam-4747	526	1	[	[	X
ejpam-4747	526	2	−ggx	−ggx	NOUN
ejpam-4747	526	3	+	+	X
ejpam-4747	527	1	g	g	PROPN
ejpam-4747	527	2	−	−	PROPN
ejpam-4747	527	3	g2(x	g2(x	PROPN
ejpam-4747	527	4	,	,	PUNCT
ejpam-4747	527	5	t	t	PROPN
ejpam-4747	527	6	)	)	PUNCT
ejpam-4747	527	7	]	]	PUNCT
ejpam-4747	527	8	,	,	PUNCT
ejpam-4747	527	9	(	(	PUNCT
ejpam-4747	527	10	67	67	NUM
ejpam-4747	527	11	)	)	PUNCT
ejpam-4747	527	12	take	take	VERB
ejpam-4747	527	13	gn−1	gn−1	NOUN
ejpam-4747	527	14	to	to	ADP
ejpam-4747	527	15	(	(	PUNCT
ejpam-4747	527	16	67	67	NUM
ejpam-4747	527	17	)	)	PUNCT
ejpam-4747	527	18	,	,	PUNCT
ejpam-4747	527	19	we	we	PRON
ejpam-4747	527	20	obtain	obtain	VERB
ejpam-4747	527	21	:	:	PUNCT
ejpam-4747	527	22	g(x	g(x	NUM
ejpam-4747	527	23	,	,	PUNCT
ejpam-4747	527	24	t	t	PROPN
ejpam-4747	527	25	)	)	PUNCT
ejpam-4747	527	26	=	=	SYM
ejpam-4747	527	27	gn−1	gn−1	PROPN
ejpam-4747	527	28	[	[	PUNCT
ejpam-4747	527	29	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	527	30	)	)	PUNCT
ejpam-4747	527	31	σ(ϑ	σ(ϑ	VERB
ejpam-4747	527	32	)	)	PUNCT
ejpam-4747	527	33	(	(	PUNCT
ejpam-4747	527	34	1−	1−	NUM
ejpam-4747	527	35	e−x	e−x	NOUN
ejpam-4747	527	36	)	)	PUNCT
ejpam-4747	527	37	−e−x	−e−x	PROPN
ejpam-4747	527	38	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	527	39	)	)	PUNCT
ejpam-4747	528	1	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	528	2	)	)	PUNCT
ejpam-4747	528	3	h(ϑ	h(ϑ	PROPN
ejpam-4747	528	4	)	)	PUNCT
ejpam-4747	528	5	σ(ϑ)−	σ(ϑ)−	PROPN
ejpam-4747	528	6	ψ(ϑ	ψ(ϑ	PROPN
ejpam-4747	528	7	)	)	PUNCT
ejpam-4747	528	8	+	+	CCONJ
ejpam-4747	528	9	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	528	10	)	)	PUNCT
ejpam-4747	528	11	σ(ϑ	σ(ϑ	VERB
ejpam-4747	528	12	)	)	PUNCT
ejpam-4747	528	13	gn	gn	PROPN
ejpam-4747	529	1	[	[	X
ejpam-4747	529	2	−ggx	−ggx	NOUN
ejpam-4747	529	3	+	+	X
ejpam-4747	530	1	g	g	PROPN
ejpam-4747	530	2	−	−	PROPN
ejpam-4747	530	3	g2(x	g2(x	PROPN
ejpam-4747	530	4	,	,	PUNCT
ejpam-4747	530	5	t	t	PROPN
ejpam-4747	530	6	)	)	PUNCT
ejpam-4747	530	7	]	]	PUNCT
ejpam-4747	530	8	]	]	PUNCT
ejpam-4747	530	9	]	]	PUNCT
ejpam-4747	530	10	,	,	PUNCT
ejpam-4747	530	11	g(x	g(x	PROPN
ejpam-4747	530	12	,	,	PUNCT
ejpam-4747	530	13	t	t	PROPN
ejpam-4747	530	14	)	)	PUNCT
ejpam-4747	530	15	=	=	SYM
ejpam-4747	531	1	1−	1−	NUM
ejpam-4747	531	2	e−x	e−x	NOUN
ejpam-4747	531	3	−	−	PROPN
ejpam-4747	531	4	e−x	e−x	PROPN
ejpam-4747	531	5	(	(	PUNCT
ejpam-4747	531	6	et	et	NOUN
ejpam-4747	531	7	−	−	PROPN
ejpam-4747	531	8	1	1	X
ejpam-4747	531	9	)	)	PUNCT
ejpam-4747	532	1	+	+	PRON
ejpam-4747	532	2	gn−1	gn−1	PROPN
ejpam-4747	532	3	[	[	PUNCT
ejpam-4747	532	4	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	532	5	)	)	PUNCT
ejpam-4747	532	6	σ(ϑ	σ(ϑ	VERB
ejpam-4747	532	7	)	)	PUNCT
ejpam-4747	532	8	gn	gn	PROPN
ejpam-4747	533	1	[	[	X
ejpam-4747	533	2	−ggx	−ggx	NOUN
ejpam-4747	533	3	+	+	X
ejpam-4747	534	1	g	g	PROPN
ejpam-4747	534	2	−	−	PROPN
ejpam-4747	534	3	g2(x	g2(x	PROPN
ejpam-4747	534	4	,	,	PUNCT
ejpam-4747	534	5	t	t	PROPN
ejpam-4747	534	6	)	)	PUNCT
ejpam-4747	534	7	]	]	PUNCT
ejpam-4747	534	8	]	]	PUNCT
ejpam-4747	534	9	.	.	PUNCT
ejpam-4747	535	1	(	(	PUNCT
ejpam-4747	535	2	68	68	NUM
ejpam-4747	535	3	)	)	PUNCT
ejpam-4747	535	4	after	after	ADP
ejpam-4747	535	5	that	that	PRON
ejpam-4747	535	6	,	,	PUNCT
ejpam-4747	535	7	we	we	PRON
ejpam-4747	535	8	will	will	AUX
ejpam-4747	535	9	deal	deal	VERB
ejpam-4747	535	10	with	with	ADP
ejpam-4747	535	11	the	the	DET
ejpam-4747	535	12	nonlinear	nonlinear	ADJ
ejpam-4747	535	13	parts	part	NOUN
ejpam-4747	535	14	g	g	PROPN
ejpam-4747	535	15	gx	gx	PROPN
ejpam-4747	535	16	and	and	CCONJ
ejpam-4747	535	17	g2	g2	PROPN
ejpam-4747	535	18	by	by	ADP
ejpam-4747	535	19	using	use	VERB
ejpam-4747	535	20	he	he	PRON
ejpam-4747	535	21	’s	’s	PART
ejpam-4747	535	22	polynomial	polynomial	ADJ
ejpam-4747	535	23	.	.	PUNCT
ejpam-4747	536	1	so	so	ADV
ejpam-4747	536	2	,	,	PUNCT
ejpam-4747	536	3	using	use	VERB
ejpam-4747	536	4	the	the	DET
ejpam-4747	536	5	general	general	ADJ
ejpam-4747	536	6	form	form	NOUN
ejpam-4747	536	7	(	(	PUNCT
ejpam-4747	536	8	47	47	NUM
ejpam-4747	536	9	)	)	PUNCT
ejpam-4747	536	10	will	will	AUX
ejpam-4747	536	11	be	be	AUX
ejpam-4747	536	12	as	as	ADP
ejpam-4747	536	13	,	,	PUNCT
ejpam-4747	536	14	gn+1	gn+1	VERB
ejpam-4747	536	15	=	=	SYM
ejpam-4747	536	16	−gn−1	−gn−1	X
ejpam-4747	536	17	[	[	PUNCT
ejpam-4747	536	18	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	536	19	)	)	PUNCT
ejpam-4747	536	20	σ(ϑ	σ(ϑ	VERB
ejpam-4747	536	21	)	)	PUNCT
ejpam-4747	537	1	gn	gn	PROPN
ejpam-4747	537	2	[	[	PUNCT
ejpam-4747	537	3	h1	h1	PROPN
ejpam-4747	537	4	n	n	CCONJ
ejpam-4747	537	5	−	−	PROPN
ejpam-4747	537	6	gn	gn	PROPN
ejpam-4747	538	1	+	+	PROPN
ejpam-4747	538	2	h2	h2	PROPN
ejpam-4747	538	3	n	n	X
ejpam-4747	538	4	]	]	X
ejpam-4747	538	5	]	]	PUNCT
ejpam-4747	538	6	,	,	PUNCT
ejpam-4747	538	7	n	n	X
ejpam-4747	538	8	≥	≥	NOUN
ejpam-4747	538	9	0	0	NUM
ejpam-4747	538	10	,	,	PUNCT
ejpam-4747	538	11	(	(	PUNCT
ejpam-4747	538	12	69	69	NUM
ejpam-4747	538	13	)	)	PUNCT
ejpam-4747	538	14	where	where	SCONJ
ejpam-4747	538	15	,	,	PUNCT
ejpam-4747	538	16	h1	h1	PROPN
ejpam-4747	538	17	=	=	SYM
ejpam-4747	538	18	gg′	gg′	PROPN
ejpam-4747	538	19	and	and	CCONJ
ejpam-4747	538	20	h2	h2	PROPN
ejpam-4747	538	21	=	=	SYM
ejpam-4747	538	22	g2	g2	PROPN
ejpam-4747	538	23	,	,	PUNCT
ejpam-4747	538	24	and	and	CCONJ
ejpam-4747	538	25	g0(x	g0(x	NOUN
ejpam-4747	538	26	,	,	PUNCT
ejpam-4747	538	27	t	t	PROPN
ejpam-4747	538	28	)	)	PUNCT
ejpam-4747	538	29	=	=	SYM
ejpam-4747	538	30	1−	1−	NUM
ejpam-4747	538	31	et−x	et−x	NOUN
ejpam-4747	538	32	,	,	PUNCT
ejpam-4747	538	33	using	use	VERB
ejpam-4747	538	34	the	the	DET
ejpam-4747	538	35	formula	formula	NOUN
ejpam-4747	538	36	(	(	PUNCT
ejpam-4747	538	37	45	45	NUM
ejpam-4747	538	38	)	)	PUNCT
ejpam-4747	538	39	,	,	PUNCT
ejpam-4747	538	40	we	we	PRON
ejpam-4747	538	41	have	have	VERB
ejpam-4747	538	42	h1	h1	PROPN
ejpam-4747	538	43	0	0	NUM
ejpam-4747	538	44	=	=	NUM
ejpam-4747	538	45	g0	g0	NOUN
ejpam-4747	538	46	g	g	NOUN
ejpam-4747	538	47	′	′	NUM
ejpam-4747	538	48	0	0	NUM
ejpam-4747	539	1	=	=	SYM
ejpam-4747	539	2	et−x	et−x	PROPN
ejpam-4747	539	3	−	−	PROPN
ejpam-4747	539	4	e2(t−x	e2(t−x	PROPN
ejpam-4747	539	5	)	)	PUNCT
ejpam-4747	539	6	,	,	PUNCT
ejpam-4747	539	7	(	(	PUNCT
ejpam-4747	539	8	70	70	X
ejpam-4747	539	9	)	)	PUNCT
ejpam-4747	539	10	h2	h2	NOUN
ejpam-4747	539	11	0	0	NUM
ejpam-4747	540	1	=	=	NUM
ejpam-4747	540	2	g20	g20	NOUN
ejpam-4747	540	3	=	=	SYM
ejpam-4747	540	4	1−	1−	NUM
ejpam-4747	540	5	2et−x	2et−x	NUM
ejpam-4747	540	6	+	+	CCONJ
ejpam-4747	540	7	e2(t−x	e2(t−x	PROPN
ejpam-4747	540	8	)	)	PUNCT
ejpam-4747	540	9	,	,	PUNCT
ejpam-4747	540	10	(	(	PUNCT
ejpam-4747	540	11	71	71	NUM
ejpam-4747	540	12	)	)	PUNCT
ejpam-4747	540	13	so	so	ADV
ejpam-4747	540	14	,	,	PUNCT
ejpam-4747	540	15	g1(x	g1(x	NOUN
ejpam-4747	540	16	,	,	PUNCT
ejpam-4747	540	17	t	t	PROPN
ejpam-4747	540	18	)	)	PUNCT
ejpam-4747	540	19	=	=	NOUN
ejpam-4747	540	20	−gn−1	−gn−1	X
ejpam-4747	540	21	[	[	PUNCT
ejpam-4747	540	22	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	540	23	)	)	PUNCT
ejpam-4747	540	24	σ(ϑ	σ(ϑ	VERB
ejpam-4747	540	25	)	)	PUNCT
ejpam-4747	541	1	gn	gn	PROPN
ejpam-4747	541	2	[	[	PUNCT
ejpam-4747	541	3	h1	h1	NOUN
ejpam-4747	541	4	0	0	NUM
ejpam-4747	541	5	−	−	PROPN
ejpam-4747	541	6	g0	g0	PROPN
ejpam-4747	541	7	+	+	PROPN
ejpam-4747	541	8	h2	h2	NOUN
ejpam-4747	541	9	0	0	NUM
ejpam-4747	542	1	]	]	X
ejpam-4747	542	2	]	]	X
ejpam-4747	542	3	=	=	X
ejpam-4747	542	4	−gn−1	−gn−1	X
ejpam-4747	542	5	[	[	PUNCT
ejpam-4747	542	6	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	542	7	)	)	PUNCT
ejpam-4747	542	8	σ(ϑ	σ(ϑ	VERB
ejpam-4747	542	9	)	)	PUNCT
ejpam-4747	542	10	gn	gn	PROPN
ejpam-4747	542	11	[	[	PUNCT
ejpam-4747	542	12	et−x	et−x	PROPN
ejpam-4747	542	13	−	−	PROPN
ejpam-4747	542	14	e2(t−x	e2(t−x	PROPN
ejpam-4747	542	15	)	)	PUNCT
ejpam-4747	542	16	−	−	PROPN
ejpam-4747	543	1	1	1	NUM
ejpam-4747	543	2	+	+	NUM
ejpam-4747	543	3	et−x	et−x	NOUN
ejpam-4747	543	4	+	+	CCONJ
ejpam-4747	543	5	1−	1−	NUM
ejpam-4747	543	6	2et−x	2et−x	NUM
ejpam-4747	543	7	+	+	CCONJ
ejpam-4747	543	8	e2(t−x	e2(t−x	PROPN
ejpam-4747	543	9	)	)	PUNCT
ejpam-4747	543	10	]	]	PUNCT
ejpam-4747	543	11	]	]	X
ejpam-4747	544	1	=	=	X
ejpam-4747	544	2	gn−1	gn−1	PROPN
ejpam-4747	544	3	[	[	PUNCT
ejpam-4747	544	4	ψ(ϑ)e−x	ψ(ϑ)e−x	PROPN
ejpam-4747	544	5	σ(ϑ	σ(ϑ	NOUN
ejpam-4747	544	6	)	)	PUNCT
ejpam-4747	544	7	gn	gn	PROPN
ejpam-4747	545	1	[	[	X
ejpam-4747	545	2	1	1	NUM
ejpam-4747	545	3	]	]	PUNCT
ejpam-4747	545	4	]	]	PUNCT
ejpam-4747	546	1	=	=	PUNCT
ejpam-4747	546	2	0	0	NUM
ejpam-4747	546	3	,	,	PUNCT
ejpam-4747	546	4	then	then	ADV
ejpam-4747	546	5	,	,	PUNCT
ejpam-4747	546	6	g1(x	g1(x	PROPN
ejpam-4747	546	7	,	,	PUNCT
ejpam-4747	546	8	t	t	PROPN
ejpam-4747	546	9	)	)	PUNCT
ejpam-4747	546	10	=	=	SYM
ejpam-4747	546	11	0	0	X
ejpam-4747	546	12	.	.	PUNCT
ejpam-4747	547	1	(	(	PUNCT
ejpam-4747	547	2	72	72	NUM
ejpam-4747	547	3	)	)	PUNCT
ejpam-4747	547	4	the	the	DET
ejpam-4747	547	5	next	next	ADJ
ejpam-4747	547	6	step	step	NOUN
ejpam-4747	547	7	,	,	PUNCT
ejpam-4747	547	8	we	we	PRON
ejpam-4747	547	9	need	need	VERB
ejpam-4747	547	10	h1	h1	PROPN
ejpam-4747	547	11	1	1	NUM
ejpam-4747	547	12	=	=	NOUN
ejpam-4747	547	13	g0	g0	NOUN
ejpam-4747	547	14	g	g	NOUN
ejpam-4747	547	15	′	′	NUM
ejpam-4747	547	16	1	1	NUM
ejpam-4747	547	17	+	+	CCONJ
ejpam-4747	547	18	g1	g1	VERB
ejpam-4747	547	19	g	g	NOUN
ejpam-4747	547	20	′	′	NOUN
ejpam-4747	547	21	0	0	NUM
ejpam-4747	548	1	=	=	SYM
ejpam-4747	548	2	0	0	NUM
ejpam-4747	548	3	,	,	PUNCT
ejpam-4747	548	4	(	(	PUNCT
ejpam-4747	548	5	73	73	NUM
ejpam-4747	548	6	)	)	PUNCT
ejpam-4747	548	7	j.i	j.i	PROPN
ejpam-4747	548	8	.	.	PROPN
ejpam-4747	548	9	mustafa	mustafa	PROPN
ejpam-4747	548	10	/	/	SYM
ejpam-4747	548	11	eur	eur	PROPN
ejpam-4747	548	12	.	.	PUNCT
ejpam-4747	549	1	j.	j.	PROPN
ejpam-4747	549	2	pure	pure	PROPN
ejpam-4747	549	3	appl	appl	PROPN
ejpam-4747	549	4	.	.	PROPN
ejpam-4747	549	5	math	math	PROPN
ejpam-4747	549	6	,	,	PUNCT
ejpam-4747	549	7	16	16	NUM
ejpam-4747	549	8	(	(	PUNCT
ejpam-4747	549	9	2	2	NUM
ejpam-4747	549	10	)	)	PUNCT
ejpam-4747	549	11	(	(	PUNCT
ejpam-4747	549	12	2023	2023	NUM
ejpam-4747	549	13	)	)	PUNCT
ejpam-4747	549	14	,	,	PUNCT
ejpam-4747	549	15	1024	1024	NUM
ejpam-4747	549	16	-	-	SYM
ejpam-4747	549	17	1046	1046	NUM
ejpam-4747	549	18	1042	1042	NUM
ejpam-4747	549	19	figure	figure	NOUN
ejpam-4747	549	20	3	3	NUM
ejpam-4747	549	21	:	:	PUNCT
ejpam-4747	549	22	the	the	DET
ejpam-4747	549	23	plot	plot	NOUN
ejpam-4747	549	24	of	of	ADP
ejpam-4747	549	25	the	the	DET
ejpam-4747	549	26	exact	exact	ADJ
ejpam-4747	549	27	solution	solution	NOUN
ejpam-4747	549	28	(	(	PUNCT
ejpam-4747	549	29	76	76	NUM
ejpam-4747	549	30	)	)	PUNCT
ejpam-4747	549	31	h2	h2	NOUN
ejpam-4747	549	32	1	1	NUM
ejpam-4747	549	33	=	=	SYM
ejpam-4747	549	34	2g0g1	2g0g1	NUM
ejpam-4747	549	35	=	=	SYM
ejpam-4747	549	36	0	0	NUM
ejpam-4747	549	37	.	.	PUNCT
ejpam-4747	550	1	(	(	PUNCT
ejpam-4747	550	2	74	74	NUM
ejpam-4747	550	3	)	)	PUNCT
ejpam-4747	551	1	so	so	ADV
ejpam-4747	551	2	,	,	PUNCT
ejpam-4747	551	3	g2(x	g2(x	PROPN
ejpam-4747	551	4	,	,	PUNCT
ejpam-4747	551	5	t	t	PROPN
ejpam-4747	551	6	)	)	PUNCT
ejpam-4747	551	7	=	=	NOUN
ejpam-4747	551	8	−gn−1	−gn−1	X
ejpam-4747	551	9	[	[	PUNCT
ejpam-4747	551	10	ψ(ϑ	ψ(ϑ	NOUN
ejpam-4747	551	11	)	)	PUNCT
ejpam-4747	551	12	σ(ϑ	σ(ϑ	VERB
ejpam-4747	551	13	)	)	PUNCT
ejpam-4747	551	14	gn	gn	PROPN
ejpam-4747	552	1	[	[	PUNCT
ejpam-4747	552	2	h1	h1	PROPN
ejpam-4747	552	3	1	1	NUM
ejpam-4747	552	4	−	−	PROPN
ejpam-4747	552	5	g1	g1	NOUN
ejpam-4747	552	6	+	+	NOUN
ejpam-4747	552	7	h2	h2	NOUN
ejpam-4747	552	8	1	1	NUM
ejpam-4747	552	9	]	]	PUNCT
ejpam-4747	552	10	]	]	X
ejpam-4747	553	1	=	=	PUNCT
ejpam-4747	553	2	0	0	NUM
ejpam-4747	553	3	,	,	PUNCT
ejpam-4747	553	4	and	and	CCONJ
ejpam-4747	553	5	so	so	ADV
ejpam-4747	553	6	on	on	ADV
ejpam-4747	553	7	.	.	PUNCT
ejpam-4747	554	1	thus	thus	ADV
ejpam-4747	554	2	,	,	PUNCT
ejpam-4747	554	3	the	the	DET
ejpam-4747	554	4	series	series	NOUN
ejpam-4747	554	5	solution	solution	NOUN
ejpam-4747	554	6	g(x	g(x	PROPN
ejpam-4747	554	7	,	,	PUNCT
ejpam-4747	554	8	t	t	PROPN
ejpam-4747	554	9	)	)	PUNCT
ejpam-4747	554	10	g(x	g(x	PROPN
ejpam-4747	554	11	,	,	PUNCT
ejpam-4747	554	12	t	t	PROPN
ejpam-4747	554	13	)	)	PUNCT
ejpam-4747	555	1	=	=	VERB
ejpam-4747	555	2	lim	lim	PROPN
ejpam-4747	555	3	n→∞	n→∞	NOUN
ejpam-4747	556	1	∞∑	∞∑	PRON
ejpam-4747	556	2	k=0	k=0	PROPN
ejpam-4747	556	3	gk(x	gk(x	PRON
ejpam-4747	556	4	,	,	PUNCT
ejpam-4747	556	5	t	t	PROPN
ejpam-4747	556	6	)	)	PUNCT
ejpam-4747	556	7	=	=	PROPN
ejpam-4747	556	8	1−	1−	NUM
ejpam-4747	556	9	et−x	et−x	NOUN
ejpam-4747	556	10	+	+	CCONJ
ejpam-4747	556	11	0	0	NUM
ejpam-4747	557	1	+	+	CCONJ
ejpam-4747	557	2	.	.	PUNCT
ejpam-4747	557	3	.	.	PUNCT
ejpam-4747	558	1	.	.	PUNCT
ejpam-4747	559	1	,	,	PUNCT
ejpam-4747	559	2	(	(	PUNCT
ejpam-4747	559	3	75	75	NUM
ejpam-4747	559	4	)	)	PUNCT
ejpam-4747	559	5	gives	give	VERB
ejpam-4747	559	6	the	the	DET
ejpam-4747	559	7	exact	exact	ADJ
ejpam-4747	559	8	solution	solution	NOUN
ejpam-4747	559	9	of	of	ADP
ejpam-4747	559	10	(	(	PUNCT
ejpam-4747	559	11	66	66	NUM
ejpam-4747	559	12	)	)	PUNCT
ejpam-4747	559	13	(	(	PUNCT
ejpam-4747	559	14	see	see	VERB
ejpam-4747	559	15	figure	figure	NOUN
ejpam-4747	559	16	(	(	PUNCT
ejpam-4747	559	17	3	3	NUM
ejpam-4747	559	18	)	)	PUNCT
ejpam-4747	559	19	):	):	PUNCT
ejpam-4747	559	20	g(x	g(x	PROPN
ejpam-4747	559	21	,	,	PUNCT
ejpam-4747	559	22	t	t	PROPN
ejpam-4747	559	23	)	)	PUNCT
ejpam-4747	559	24	=	=	NOUN
ejpam-4747	559	25	1−	1−	NUM
ejpam-4747	559	26	et−x	et−x	NOUN
ejpam-4747	559	27	.	.	PUNCT
ejpam-4747	560	1	(	(	PUNCT
ejpam-4747	560	2	76	76	NUM
ejpam-4747	560	3	)	)	PUNCT
ejpam-4747	560	4	7	7	NUM
ejpam-4747	560	5	.	.	PUNCT
ejpam-4747	560	6	conclusion	conclusion	NOUN
ejpam-4747	560	7	we	we	PRON
ejpam-4747	560	8	briefly	briefly	ADV
ejpam-4747	560	9	summarized	summarize	VERB
ejpam-4747	560	10	the	the	DET
ejpam-4747	560	11	output	output	NOUN
ejpam-4747	560	12	of	of	ADP
ejpam-4747	560	13	the	the	DET
ejpam-4747	560	14	current	current	ADJ
ejpam-4747	560	15	paper	paper	NOUN
ejpam-4747	560	16	.	.	PUNCT
ejpam-4747	561	1	first	first	ADV
ejpam-4747	561	2	of	of	ADP
ejpam-4747	561	3	all	all	PRON
ejpam-4747	561	4	,	,	PUNCT
ejpam-4747	561	5	the	the	DET
ejpam-4747	561	6	gn	gn	PROPN
ejpam-4747	561	7	of	of	ADP
ejpam-4747	561	8	integral	integral	ADJ
ejpam-4747	561	9	transforms	transform	NOUN
ejpam-4747	561	10	has	have	AUX
ejpam-4747	561	11	been	be	AUX
ejpam-4747	561	12	developed	develop	VERB
ejpam-4747	561	13	by	by	ADP
ejpam-4747	561	14	formulating	formulate	VERB
ejpam-4747	561	15	a	a	DET
ejpam-4747	561	16	new	new	ADJ
ejpam-4747	561	17	form	form	NOUN
ejpam-4747	561	18	of	of	ADP
ejpam-4747	561	19	the	the	DET
ejpam-4747	561	20	generalized	generalized	ADJ
ejpam-4747	561	21	integral	integral	ADJ
ejpam-4747	561	22	transform	transform	NOUN
ejpam-4747	561	23	.	.	PUNCT
ejpam-4747	562	1	the	the	DET
ejpam-4747	562	2	development	development	NOUN
ejpam-4747	562	3	started	start	VERB
ejpam-4747	562	4	with	with	ADP
ejpam-4747	562	5	introducing	introduce	VERB
ejpam-4747	562	6	some	some	DET
ejpam-4747	562	7	definitions	definition	NOUN
ejpam-4747	562	8	about	about	ADP
ejpam-4747	562	9	the	the	DET
ejpam-4747	562	10	functions	function	NOUN
ejpam-4747	562	11	which	which	PRON
ejpam-4747	562	12	are	be	AUX
ejpam-4747	562	13	related	relate	VERB
ejpam-4747	562	14	to	to	ADP
ejpam-4747	562	15	the	the	DET
ejpam-4747	562	16	gn	gn	PROPN
ejpam-4747	562	17	.	.	PUNCT
ejpam-4747	563	1	then	then	ADV
ejpam-4747	563	2	,	,	PUNCT
ejpam-4747	563	3	formulating	formulate	VERB
ejpam-4747	563	4	the	the	DET
ejpam-4747	563	5	theorems	theorem	NOUN
ejpam-4747	563	6	of	of	ADP
ejpam-4747	563	7	the	the	DET
ejpam-4747	563	8	gn	gn	PROPN
ejpam-4747	563	9	,	,	PUNCT
ejpam-4747	563	10	in	in	ADP
ejpam-4747	563	11	which	which	PRON
ejpam-4747	563	12	we	we	PRON
ejpam-4747	563	13	proved	prove	VERB
ejpam-4747	563	14	that	that	SCONJ
ejpam-4747	563	15	the	the	DET
ejpam-4747	563	16	gn	gn	PROPN
ejpam-4747	563	17	of	of	ADP
ejpam-4747	563	18	integral	integral	ADJ
ejpam-4747	563	19	transforms	transform	NOUN
ejpam-4747	563	20	of	of	ADP
ejpam-4747	563	21	some	some	DET
ejpam-4747	563	22	functions	function	NOUN
ejpam-4747	563	23	and	and	CCONJ
ejpam-4747	563	24	the	the	DET
ejpam-4747	563	25	derivatives	derivative	NOUN
ejpam-4747	563	26	of	of	ADP
ejpam-4747	563	27	unknown	unknown	ADJ
ejpam-4747	563	28	functions	function	NOUN
ejpam-4747	563	29	,	,	PUNCT
ejpam-4747	563	30	which	which	PRON
ejpam-4747	563	31	were	be	AUX
ejpam-4747	563	32	used	use	VERB
ejpam-4747	563	33	in	in	ADP
ejpam-4747	563	34	the	the	DET
ejpam-4747	563	35	equations	equation	NOUN
ejpam-4747	563	36	,	,	PUNCT
ejpam-4747	563	37	has	have	AUX
ejpam-4747	563	38	been	be	AUX
ejpam-4747	563	39	fulfilled	fulfil	VERB
ejpam-4747	563	40	.	.	PUNCT
ejpam-4747	564	1	these	these	DET
ejpam-4747	564	2	transforms	transform	VERB
ejpam-4747	564	3	have	have	AUX
ejpam-4747	564	4	been	be	AUX
ejpam-4747	564	5	used	use	VERB
ejpam-4747	564	6	as	as	ADP
ejpam-4747	564	7	an	an	DET
ejpam-4747	564	8	essential	essential	ADJ
ejpam-4747	564	9	tool	tool	NOUN
ejpam-4747	564	10	in	in	ADP
ejpam-4747	564	11	determining	determine	VERB
ejpam-4747	564	12	the	the	DET
ejpam-4747	564	13	solutions	solution	NOUN
ejpam-4747	564	14	to	to	ADP
ejpam-4747	564	15	equations	equation	NOUN
ejpam-4747	564	16	.	.	PUNCT
ejpam-4747	565	1	additionally	additionally	ADV
ejpam-4747	565	2	,	,	PUNCT
ejpam-4747	565	3	references	reference	NOUN
ejpam-4747	565	4	1043	1043	NUM
ejpam-4747	565	5	the	the	DET
ejpam-4747	565	6	development	development	NOUN
ejpam-4747	565	7	of	of	ADP
ejpam-4747	565	8	the	the	DET
ejpam-4747	565	9	gn	gn	PROPN
ejpam-4747	565	10	of	of	ADP
ejpam-4747	565	11	integral	integral	ADJ
ejpam-4747	565	12	transform	transform	NOUN
ejpam-4747	565	13	involved	involve	VERB
ejpam-4747	565	14	studying	study	VERB
ejpam-4747	565	15	some	some	DET
ejpam-4747	565	16	useful	useful	ADJ
ejpam-4747	565	17	properties	property	NOUN
ejpam-4747	565	18	.	.	PUNCT
ejpam-4747	566	1	in	in	ADP
ejpam-4747	566	2	a	a	DET
ejpam-4747	566	3	second	second	ADJ
ejpam-4747	566	4	study	study	NOUN
ejpam-4747	566	5	,	,	PUNCT
ejpam-4747	566	6	a	a	DET
ejpam-4747	566	7	mathematical	mathematical	ADJ
ejpam-4747	566	8	method	method	NOUN
ejpam-4747	566	9	has	have	AUX
ejpam-4747	566	10	been	be	AUX
ejpam-4747	566	11	exhibited	exhibit	VERB
ejpam-4747	566	12	by	by	ADP
ejpam-4747	566	13	using	use	VERB
ejpam-4747	566	14	our	our	PRON
ejpam-4747	566	15	newly	newly	ADV
ejpam-4747	566	16	developed	develop	VERB
ejpam-4747	566	17	gn	gn	PROPN
ejpam-4747	566	18	together	together	ADV
ejpam-4747	566	19	with	with	SCONJ
ejpam-4747	566	20	he	he	PRON
ejpam-4747	566	21	’s	’	VERB
ejpam-4747	566	22	polynomial	polynomial	ADJ
ejpam-4747	566	23	method	method	NOUN
ejpam-4747	566	24	to	to	PART
ejpam-4747	566	25	solve	solve	VERB
ejpam-4747	566	26	nonlinear	nonlinear	ADJ
ejpam-4747	566	27	pdes	pde	NOUN
ejpam-4747	566	28	where	where	SCONJ
ejpam-4747	566	29	the	the	DET
ejpam-4747	566	30	he	he	PRON
ejpam-4747	566	31	’s	’s	PART
ejpam-4747	566	32	polynomial	polynomial	ADJ
ejpam-4747	566	33	method	method	NOUN
ejpam-4747	566	34	evaluates	evaluate	VERB
ejpam-4747	566	35	nonlinear	nonlinear	ADJ
ejpam-4747	566	36	terms	term	NOUN
ejpam-4747	566	37	.	.	PUNCT
ejpam-4747	567	1	for	for	ADP
ejpam-4747	567	2	this	this	DET
ejpam-4747	567	3	combination	combination	NOUN
ejpam-4747	567	4	of	of	ADP
ejpam-4747	567	5	our	our	PRON
ejpam-4747	567	6	gn	gn	PROPN
ejpam-4747	567	7	and	and	CCONJ
ejpam-4747	567	8	he	he	PRON
ejpam-4747	567	9	’s	’	VERB
ejpam-4747	567	10	polynomial	polynomial	ADJ
ejpam-4747	567	11	method	method	NOUN
ejpam-4747	567	12	,	,	PUNCT
ejpam-4747	567	13	a	a	DET
ejpam-4747	567	14	convergent	convergent	NOUN
ejpam-4747	567	15	series	series	NOUN
ejpam-4747	567	16	has	have	AUX
ejpam-4747	567	17	been	be	AUX
ejpam-4747	567	18	obtained	obtain	VERB
ejpam-4747	567	19	.	.	PUNCT
ejpam-4747	568	1	consequently	consequently	ADV
ejpam-4747	568	2	,	,	PUNCT
ejpam-4747	568	3	a	a	DET
ejpam-4747	568	4	variety	variety	NOUN
ejpam-4747	568	5	of	of	ADP
ejpam-4747	568	6	equations	equation	NOUN
ejpam-4747	568	7	have	have	AUX
ejpam-4747	568	8	been	be	AUX
ejpam-4747	568	9	successfully	successfully	ADV
ejpam-4747	568	10	solved	solve	VERB
ejpam-4747	568	11	using	use	VERB
ejpam-4747	568	12	this	this	DET
ejpam-4747	568	13	combination	combination	NOUN
ejpam-4747	568	14	,	,	PUNCT
ejpam-4747	568	15	including	include	VERB
ejpam-4747	568	16	pdes	pde	NOUN
ejpam-4747	568	17	in	in	ADP
ejpam-4747	568	18	three	three	NUM
ejpam-4747	568	19	types	type	NOUN
ejpam-4747	568	20	of	of	ADP
ejpam-4747	568	21	equations	equation	NOUN
ejpam-4747	568	22	.	.	PUNCT
ejpam-4747	569	1	the	the	DET
ejpam-4747	569	2	nonlinear	nonlinear	ADJ
ejpam-4747	569	3	gas	gas	NOUN
ejpam-4747	569	4	dynamic	dynamic	ADJ
ejpam-4747	569	5	equation	equation	NOUN
ejpam-4747	569	6	and	and	CCONJ
ejpam-4747	569	7	the	the	DET
ejpam-4747	569	8	system	system	NOUN
ejpam-4747	569	9	of	of	ADP
ejpam-4747	569	10	coupled	couple	VERB
ejpam-4747	569	11	nonlinear	nonlinear	ADJ
ejpam-4747	569	12	burgers	burger	NOUN
ejpam-4747	569	13	’	'	PUNCT
ejpam-4747	569	14	equation	equation	NOUN
ejpam-4747	569	15	have	have	AUX
ejpam-4747	569	16	been	be	AUX
ejpam-4747	569	17	solved	solve	VERB
ejpam-4747	569	18	in	in	ADP
ejpam-4747	569	19	the	the	DET
ejpam-4747	569	20	first	first	ADJ
ejpam-4747	569	21	and	and	CCONJ
ejpam-4747	569	22	second	second	ADJ
ejpam-4747	569	23	examples	example	NOUN
ejpam-4747	569	24	,	,	PUNCT
ejpam-4747	569	25	respectively	respectively	ADV
ejpam-4747	569	26	,	,	PUNCT
ejpam-4747	569	27	which	which	PRON
ejpam-4747	569	28	determined	determine	VERB
ejpam-4747	569	29	approximate	approximate	ADJ
ejpam-4747	569	30	solution	solution	NOUN
ejpam-4747	569	31	(	(	PUNCT
ejpam-4747	569	32	see	see	VERB
ejpam-4747	569	33	figure	figure	NOUN
ejpam-4747	569	34	(	(	PUNCT
ejpam-4747	569	35	1	1	NUM
ejpam-4747	569	36	)	)	PUNCT
ejpam-4747	569	37	and	and	CCONJ
ejpam-4747	569	38	(	(	PUNCT
ejpam-4747	569	39	2	2	NUM
ejpam-4747	569	40	)	)	PUNCT
ejpam-4747	569	41	)	)	PUNCT
ejpam-4747	569	42	,	,	PUNCT
ejpam-4747	569	43	whereas	whereas	SCONJ
ejpam-4747	569	44	in	in	ADP
ejpam-4747	569	45	the	the	DET
ejpam-4747	569	46	third	third	ADJ
ejpam-4747	569	47	example	example	NOUN
ejpam-4747	569	48	,	,	PUNCT
ejpam-4747	569	49	the	the	DET
ejpam-4747	569	50	non	non	ADJ
ejpam-4747	569	51	-	-	ADJ
ejpam-4747	569	52	homogeneous	homogeneous	ADJ
ejpam-4747	569	53	gas	gas	NOUN
ejpam-4747	569	54	dynamic	dynamic	ADJ
ejpam-4747	569	55	equation	equation	NOUN
ejpam-4747	569	56	has	have	AUX
ejpam-4747	569	57	been	be	AUX
ejpam-4747	569	58	solved	solve	VERB
ejpam-4747	569	59	to	to	PART
ejpam-4747	569	60	obtain	obtain	VERB
ejpam-4747	569	61	an	an	DET
ejpam-4747	569	62	exact	exact	ADJ
ejpam-4747	569	63	solution	solution	NOUN
ejpam-4747	569	64	(	(	PUNCT
ejpam-4747	569	65	see	see	VERB
ejpam-4747	569	66	figure	figure	NOUN
ejpam-4747	569	67	(	(	PUNCT
ejpam-4747	569	68	3	3	NUM
ejpam-4747	569	69	)	)	PUNCT
ejpam-4747	569	70	)	)	PUNCT
ejpam-4747	569	71	.	.	PUNCT
ejpam-4747	570	1	finally	finally	ADV
ejpam-4747	570	2	,	,	PUNCT
ejpam-4747	570	3	the	the	DET
ejpam-4747	570	4	advantages	advantage	NOUN
ejpam-4747	570	5	of	of	ADP
ejpam-4747	570	6	our	our	PRON
ejpam-4747	570	7	method	method	NOUN
ejpam-4747	570	8	are	be	AUX
ejpam-4747	570	9	its	its	PRON
ejpam-4747	570	10	efficiency	efficiency	NOUN
ejpam-4747	570	11	and	and	CCONJ
ejpam-4747	570	12	accuracy	accuracy	NOUN
ejpam-4747	570	13	as	as	SCONJ
ejpam-4747	570	14	it	it	PRON
ejpam-4747	570	15	led	lead	VERB
ejpam-4747	570	16	to	to	ADP
ejpam-4747	570	17	more	more	ADV
ejpam-4747	570	18	accurate	accurate	ADJ
ejpam-4747	570	19	results	result	NOUN
ejpam-4747	570	20	and	and	CCONJ
ejpam-4747	570	21	more	more	ADV
ejpam-4747	570	22	efficient	efficient	ADJ
ejpam-4747	570	23	calculations	calculation	NOUN
ejpam-4747	570	24	,	,	PUNCT
ejpam-4747	570	25	as	as	ADV
ejpam-4747	570	26	well	well	ADV
ejpam-4747	570	27	as	as	ADP
ejpam-4747	570	28	the	the	DET
ejpam-4747	570	29	fact	fact	NOUN
ejpam-4747	570	30	that	that	SCONJ
ejpam-4747	570	31	it	it	PRON
ejpam-4747	570	32	can	can	AUX
ejpam-4747	570	33	be	be	AUX
ejpam-4747	570	34	used	use	VERB
ejpam-4747	570	35	to	to	PART
ejpam-4747	570	36	solve	solve	VERB
ejpam-4747	570	37	any	any	DET
ejpam-4747	570	38	order	order	NOUN
ejpam-4747	570	39	of	of	ADP
ejpam-4747	570	40	nonlinear	nonlinear	ADJ
ejpam-4747	570	41	equations	equation	NOUN
ejpam-4747	570	42	.	.	PUNCT
ejpam-4747	571	1	this	this	PRON
ejpam-4747	571	2	makes	make	VERB
ejpam-4747	571	3	it	it	PRON
ejpam-4747	571	4	an	an	DET
ejpam-4747	571	5	invaluable	invaluable	ADJ
ejpam-4747	571	6	tool	tool	NOUN
ejpam-4747	571	7	for	for	ADP
ejpam-4747	571	8	finding	find	VERB
ejpam-4747	571	9	the	the	DET
ejpam-4747	571	10	solutions	solution	NOUN
ejpam-4747	571	11	of	of	ADP
ejpam-4747	571	12	a	a	DET
ejpam-4747	571	13	various	various	ADJ
ejpam-4747	571	14	problems	problem	NOUN
ejpam-4747	571	15	in	in	ADP
ejpam-4747	571	16	mathematical	mathematical	ADJ
ejpam-4747	571	17	physics	physics	NOUN
ejpam-4747	571	18	.	.	PUNCT
ejpam-4747	572	1	acknowledgements	acknowledgement	VERB
ejpam-4747	572	2	the	the	DET
ejpam-4747	572	3	author	author	NOUN
ejpam-4747	572	4	is	be	AUX
ejpam-4747	572	5	very	very	ADV
ejpam-4747	572	6	grateful	grateful	ADJ
ejpam-4747	572	7	to	to	ADP
ejpam-4747	572	8	the	the	DET
ejpam-4747	572	9	“	"	PUNCT
ejpam-4747	572	10	college	college	NOUN
ejpam-4747	572	11	of	of	ADP
ejpam-4747	572	12	education	education	NOUN
ejpam-4747	572	13	for	for	ADP
ejpam-4747	572	14	pure	pure	ADJ
ejpam-4747	572	15	sciences	science	NOUN
ejpam-4747	572	16	at	at	ADP
ejpam-4747	572	17	the	the	DET
ejpam-4747	572	18	university	university	PROPN
ejpam-4747	572	19	of	of	ADP
ejpam-4747	572	20	mosul	mosul	PROPN
ejpam-4747	572	21	,	,	PUNCT
ejpam-4747	572	22	iraq	iraq	PROPN
ejpam-4747	572	23	”	"	PUNCT
ejpam-4747	572	24	for	for	ADP
ejpam-4747	572	25	their	their	PRON
ejpam-4747	572	26	support	support	NOUN
ejpam-4747	572	27	of	of	ADP
ejpam-4747	572	28	my	my	PRON
ejpam-4747	572	29	research	research	NOUN
ejpam-4747	572	30	.	.	PUNCT
ejpam-4747	573	1	references	reference	NOUN
ejpam-4747	573	2	[	[	X
ejpam-4747	573	3	1	1	X
ejpam-4747	573	4	]	]	PUNCT
ejpam-4747	573	5	shams	sham	VERB
ejpam-4747	573	6	a	a	DET
ejpam-4747	573	7	ahmed	ahmed	PROPN
ejpam-4747	573	8	,	,	PUNCT
ejpam-4747	573	9	ahmad	ahmad	PROPN
ejpam-4747	573	10	qazza	qazza	PROPN
ejpam-4747	573	11	,	,	PUNCT
ejpam-4747	573	12	and	and	CCONJ
ejpam-4747	573	13	rania	rania	PROPN
ejpam-4747	573	14	saadeh	saadeh	PROPN
ejpam-4747	573	15	.	.	PUNCT
ejpam-4747	574	1	exact	exact	ADJ
ejpam-4747	574	2	solutions	solution	NOUN
ejpam-4747	574	3	of	of	ADP
ejpam-4747	574	4	nonlinear	nonlinear	ADJ
ejpam-4747	574	5	partial	partial	ADJ
ejpam-4747	574	6	differential	differential	ADJ
ejpam-4747	574	7	equations	equation	NOUN
ejpam-4747	574	8	via	via	ADP
ejpam-4747	574	9	the	the	DET
ejpam-4747	574	10	new	new	ADJ
ejpam-4747	574	11	double	double	ADJ
ejpam-4747	574	12	integral	integral	ADJ
ejpam-4747	574	13	transform	transform	NOUN
ejpam-4747	574	14	combined	combine	VERB
ejpam-4747	574	15	with	with	ADP
ejpam-4747	574	16	iterative	iterative	NOUN
ejpam-4747	574	17	method	method	NOUN
ejpam-4747	574	18	.	.	PUNCT
ejpam-4747	575	1	axioms	axiom	NOUN
ejpam-4747	575	2	,	,	PUNCT
ejpam-4747	575	3	11(6):247	11(6):247	NUM
ejpam-4747	575	4	,	,	PUNCT
ejpam-4747	575	5	2022	2022	NUM
ejpam-4747	575	6	.	.	PUNCT
ejpam-4747	576	1	[	[	X
ejpam-4747	576	2	2	2	X
ejpam-4747	576	3	]	]	X
ejpam-4747	576	4	hossein	hossein	PROPN
ejpam-4747	576	5	aminikhah	aminikhah	PROPN
ejpam-4747	576	6	and	and	CCONJ
ejpam-4747	576	7	ali	ali	PROPN
ejpam-4747	576	8	jamalian	jamalian	PROPN
ejpam-4747	576	9	.	.	PUNCT
ejpam-4747	577	1	numerical	numerical	PROPN
ejpam-4747	577	2	approximation	approximation	NOUN
ejpam-4747	577	3	for	for	ADP
ejpam-4747	577	4	nonlinear	nonlinear	ADJ
ejpam-4747	577	5	gas	gas	NOUN
ejpam-4747	577	6	dynamic	dynamic	ADJ
ejpam-4747	577	7	equation	equation	NOUN
ejpam-4747	577	8	.	.	PUNCT
ejpam-4747	578	1	international	international	ADJ
ejpam-4747	578	2	journal	journal	PROPN
ejpam-4747	578	3	of	of	ADP
ejpam-4747	578	4	partial	partial	ADJ
ejpam-4747	578	5	differential	differential	NOUN
ejpam-4747	578	6	equations	equation	NOUN
ejpam-4747	578	7	,	,	PUNCT
ejpam-4747	578	8	2013	2013	NUM
ejpam-4747	578	9	,	,	PUNCT
ejpam-4747	578	10	2013	2013	NUM
ejpam-4747	578	11	.	.	PUNCT
ejpam-4747	579	1	[	[	X
ejpam-4747	579	2	3	3	X
ejpam-4747	579	3	]	]	X
ejpam-4747	579	4	mohannad	mohannad	PROPN
ejpam-4747	579	5	hamid	hamid	PROPN
ejpam-4747	579	6	eljaily	eljaily	ADV
ejpam-4747	579	7	babiker	babiker	PROPN
ejpam-4747	579	8	et	et	PROPN
ejpam-4747	579	9	al	al	PROPN
ejpam-4747	579	10	.	.	PROPN
ejpam-4747	579	11	solution	solution	NOUN
ejpam-4747	579	12	of	of	ADP
ejpam-4747	579	13	partial	partial	ADJ
ejpam-4747	579	14	differential	differential	ADJ
ejpam-4747	579	15	equations	equation	NOUN
ejpam-4747	579	16	with	with	ADP
ejpam-4747	579	17	nonlocal	nonlocal	ADJ
ejpam-4747	579	18	conditions	condition	NOUN
ejpam-4747	579	19	by	by	ADP
ejpam-4747	579	20	combine	combine	NOUN
ejpam-4747	579	21	homotopy	homotopy	NOUN
ejpam-4747	579	22	perturbation	perturbation	NOUN
ejpam-4747	579	23	method	method	NOUN
ejpam-4747	579	24	and	and	CCONJ
ejpam-4747	579	25	laplace	laplace	NOUN
ejpam-4747	579	26	transform	transform	NOUN
ejpam-4747	579	27	.	.	PUNCT
ejpam-4747	580	1	phd	phd	NOUN
ejpam-4747	580	2	thesis	thesis	PROPN
ejpam-4747	580	3	,	,	PUNCT
ejpam-4747	580	4	sudan	sudan	PROPN
ejpam-4747	580	5	university	university	PROPN
ejpam-4747	580	6	of	of	ADP
ejpam-4747	580	7	science	science	NOUN
ejpam-4747	580	8	and	and	CCONJ
ejpam-4747	580	9	technology	technology	NOUN
ejpam-4747	580	10	,	,	PUNCT
ejpam-4747	580	11	2016	2016	NUM
ejpam-4747	580	12	.	.	PUNCT
ejpam-4747	581	1	[	[	X
ejpam-4747	581	2	4	4	NUM
ejpam-4747	581	3	]	]	X
ejpam-4747	581	4	benedict	benedict	PROPN
ejpam-4747	581	5	barnes	barnes	PROPN
ejpam-4747	581	6	,	,	PUNCT
ejpam-4747	581	7	c	c	PROPN
ejpam-4747	581	8	sebil	sebil	ADJ
ejpam-4747	581	9	,	,	PUNCT
ejpam-4747	581	10	and	and	CCONJ
ejpam-4747	581	11	a	a	DET
ejpam-4747	581	12	quaye	quaye	NOUN
ejpam-4747	581	13	.	.	PUNCT
ejpam-4747	582	1	a	a	DET
ejpam-4747	582	2	generalization	generalization	NOUN
ejpam-4747	582	3	of	of	ADP
ejpam-4747	582	4	integral	integral	ADJ
ejpam-4747	582	5	transform	transform	NOUN
ejpam-4747	582	6	.	.	PUNCT
ejpam-4747	582	7	2018	2018	NUM
ejpam-4747	582	8	.	.	PUNCT
ejpam-4747	583	1	[	[	X
ejpam-4747	583	2	5	5	NUM
ejpam-4747	583	3	]	]	X
ejpam-4747	583	4	rachid	rachid	PROPN
ejpam-4747	583	5	belgacem	belgacem	PROPN
ejpam-4747	583	6	,	,	PUNCT
ejpam-4747	583	7	ahmed	ahmed	PROPN
ejpam-4747	583	8	bokhari	bokhari	PROPN
ejpam-4747	583	9	,	,	PUNCT
ejpam-4747	583	10	mohamed	mohamed	PROPN
ejpam-4747	583	11	kadi	kadi	PROPN
ejpam-4747	583	12	,	,	PUNCT
ejpam-4747	583	13	and	and	CCONJ
ejpam-4747	583	14	djelloul	djelloul	PROPN
ejpam-4747	583	15	ziane	ziane	NOUN
ejpam-4747	583	16	.	.	PUNCT
ejpam-4747	584	1	solution	solution	NOUN
ejpam-4747	584	2	of	of	ADP
ejpam-4747	584	3	non	non	ADJ
ejpam-4747	584	4	-	-	ADJ
ejpam-4747	584	5	linear	linear	ADJ
ejpam-4747	584	6	partial	partial	ADJ
ejpam-4747	584	7	differential	differential	NOUN
ejpam-4747	584	8	equations	equation	NOUN
ejpam-4747	584	9	by	by	ADP
ejpam-4747	584	10	shehu	shehu	NOUN
ejpam-4747	584	11	transform	transform	VERB
ejpam-4747	584	12	and	and	CCONJ
ejpam-4747	584	13	its	its	PRON
ejpam-4747	584	14	applications	application	NOUN
ejpam-4747	584	15	.	.	PUNCT
ejpam-4747	585	1	malaya	malaya	PROPN
ejpam-4747	585	2	journal	journal	PROPN
ejpam-4747	585	3	of	of	ADP
ejpam-4747	585	4	matematik	matematik	PROPN
ejpam-4747	585	5	,	,	PUNCT
ejpam-4747	585	6	8(4):1974–1979	8(4):1974–1979	NUM
ejpam-4747	585	7	,	,	PUNCT
ejpam-4747	585	8	2020	2020	NUM
ejpam-4747	585	9	.	.	PUNCT
ejpam-4747	586	1	[	[	X
ejpam-4747	586	2	6	6	NUM
ejpam-4747	586	3	]	]	PUNCT
ejpam-4747	586	4	changbum	changbum	PROPN
ejpam-4747	586	5	chun	chun	PROPN
ejpam-4747	586	6	.	.	PUNCT
ejpam-4747	587	1	application	application	NOUN
ejpam-4747	587	2	of	of	ADP
ejpam-4747	587	3	homotopy	homotopy	NOUN
ejpam-4747	587	4	perturbation	perturbation	NOUN
ejpam-4747	587	5	method	method	NOUN
ejpam-4747	587	6	with	with	ADP
ejpam-4747	587	7	chebyshev	chebyshev	NOUN
ejpam-4747	587	8	polynomials	polynomial	NOUN
ejpam-4747	587	9	to	to	PART
ejpam-4747	587	10	nonlinear	nonlinear	ADJ
ejpam-4747	587	11	problems	problem	NOUN
ejpam-4747	587	12	.	.	PUNCT
ejpam-4747	588	1	zeitschrift	zeitschrift	NOUN
ejpam-4747	588	2	für	für	PROPN
ejpam-4747	588	3	naturforschung	naturforschung	VERB
ejpam-4747	588	4	a	a	DET
ejpam-4747	588	5	,	,	PUNCT
ejpam-4747	588	6	65(1	65(1	NOUN
ejpam-4747	588	7	-	-	PUNCT
ejpam-4747	588	8	2):65–70	2):65–70	NUM
ejpam-4747	588	9	,	,	PUNCT
ejpam-4747	588	10	2010	2010	NUM
ejpam-4747	588	11	.	.	PUNCT
ejpam-4747	589	1	references	reference	NOUN
ejpam-4747	589	2	1044	1044	NUM
ejpam-4747	589	3	[	[	X
ejpam-4747	589	4	7	7	X
ejpam-4747	589	5	]	]	PUNCT
ejpam-4747	589	6	ravi	ravi	PROPN
ejpam-4747	589	7	shankar	shankar	PROPN
ejpam-4747	589	8	dubey	dubey	PROPN
ejpam-4747	589	9	,	,	PUNCT
ejpam-4747	589	10	pranay	pranay	NOUN
ejpam-4747	589	11	goswami	goswami	PROPN
ejpam-4747	589	12	,	,	PUNCT
ejpam-4747	589	13	vinod	vinod	PROPN
ejpam-4747	589	14	gill	gill	PROPN
ejpam-4747	589	15	,	,	PUNCT
ejpam-4747	589	16	et	et	PROPN
ejpam-4747	589	17	al	al	PROPN
ejpam-4747	589	18	.	.	PUNCT
ejpam-4747	590	1	a	a	DET
ejpam-4747	590	2	new	new	ADJ
ejpam-4747	590	3	analytical	analytical	ADJ
ejpam-4747	590	4	method	method	NOUN
ejpam-4747	590	5	to	to	PART
ejpam-4747	590	6	solve	solve	VERB
ejpam-4747	590	7	klein	klein	PROPN
ejpam-4747	590	8	-	-	PUNCT
ejpam-4747	590	9	gordon	gordon	PROPN
ejpam-4747	590	10	equations	equation	NOUN
ejpam-4747	590	11	by	by	ADP
ejpam-4747	590	12	using	use	VERB
ejpam-4747	590	13	homotopy	homotopy	NOUN
ejpam-4747	590	14	perturbation	perturbation	NOUN
ejpam-4747	590	15	mohand	mohand	NOUN
ejpam-4747	590	16	transform	transform	NOUN
ejpam-4747	590	17	method	method	NOUN
ejpam-4747	590	18	.	.	PUNCT
ejpam-4747	591	1	malaya	malaya	PROPN
ejpam-4747	591	2	journal	journal	PROPN
ejpam-4747	591	3	of	of	ADP
ejpam-4747	591	4	matematik	matematik	PROPN
ejpam-4747	591	5	,	,	PUNCT
ejpam-4747	591	6	10(1):1–19	10(1):1–19	NUM
ejpam-4747	591	7	,	,	PUNCT
ejpam-4747	591	8	2022	2022	NUM
ejpam-4747	591	9	.	.	PUNCT
ejpam-4747	592	1	[	[	X
ejpam-4747	592	2	8	8	NUM
ejpam-4747	592	3	]	]	SYM
ejpam-4747	592	4	ai	ai	VERB
ejpam-4747	592	5	el	el	PROPN
ejpam-4747	592	6	-	-	PROPN
ejpam-4747	592	7	mesady	mesady	PROPN
ejpam-4747	592	8	,	,	PUNCT
ejpam-4747	592	9	ys	ys	PROPN
ejpam-4747	592	10	hamed	hamed	ADJ
ejpam-4747	592	11	,	,	PUNCT
ejpam-4747	592	12	and	and	CCONJ
ejpam-4747	592	13	am	be	AUX
ejpam-4747	592	14	alsharif	alsharif	VERB
ejpam-4747	592	15	.	.	PUNCT
ejpam-4747	593	1	jafari	jafari	ADJ
ejpam-4747	593	2	transformation	transformation	NOUN
ejpam-4747	593	3	for	for	ADP
ejpam-4747	593	4	solving	solve	VERB
ejpam-4747	593	5	a	a	DET
ejpam-4747	593	6	system	system	NOUN
ejpam-4747	593	7	of	of	ADP
ejpam-4747	593	8	ordinary	ordinary	ADJ
ejpam-4747	593	9	differential	differential	ADJ
ejpam-4747	593	10	equations	equation	NOUN
ejpam-4747	593	11	with	with	ADP
ejpam-4747	593	12	medical	medical	ADJ
ejpam-4747	593	13	application	application	NOUN
ejpam-4747	593	14	.	.	PUNCT
ejpam-4747	594	1	fractal	fractal	ADJ
ejpam-4747	594	2	fract	fract	PROPN
ejpam-4747	594	3	.	.	PUNCT
ejpam-4747	595	1	2021	2021	NUM
ejpam-4747	595	2	,	,	PUNCT
ejpam-4747	595	3	5	5	NUM
ejpam-4747	595	4	,	,	PUNCT
ejpam-4747	595	5	130	130	NUM
ejpam-4747	595	6	,	,	PUNCT
ejpam-4747	595	7	2021	2021	NUM
ejpam-4747	595	8	.	.	PUNCT
ejpam-4747	596	1	[	[	X
ejpam-4747	596	2	9	9	NUM
ejpam-4747	596	3	]	]	X
ejpam-4747	596	4	asghar	asghar	PROPN
ejpam-4747	596	5	ghorbani	ghorbani	PROPN
ejpam-4747	596	6	.	.	PUNCT
ejpam-4747	597	1	beyond	beyond	ADP
ejpam-4747	597	2	adomian	adomian	NOUN
ejpam-4747	597	3	polynomials	polynomial	NOUN
ejpam-4747	597	4	:	:	PUNCT
ejpam-4747	597	5	he	he	PRON
ejpam-4747	597	6	polynomials	polynomial	VERB
ejpam-4747	597	7	.	.	PUNCT
ejpam-4747	598	1	chaos	chaos	NOUN
ejpam-4747	598	2	,	,	PUNCT
ejpam-4747	598	3	solitons	soliton	NOUN
ejpam-4747	598	4	&	&	CCONJ
ejpam-4747	598	5	fractals	fractal	NOUN
ejpam-4747	598	6	,	,	PUNCT
ejpam-4747	598	7	39(3):1486–1492	39(3):1486–1492	NUM
ejpam-4747	598	8	,	,	PUNCT
ejpam-4747	598	9	2009	2009	NUM
ejpam-4747	598	10	.	.	PUNCT
ejpam-4747	599	1	[	[	X
ejpam-4747	599	2	10	10	NUM
ejpam-4747	599	3	]	]	X
ejpam-4747	599	4	asghar	asghar	PROPN
ejpam-4747	599	5	ghorbani	ghorbani	PROPN
ejpam-4747	599	6	and	and	CCONJ
ejpam-4747	599	7	jafar	jafar	PROPN
ejpam-4747	599	8	saberi	saberi	PROPN
ejpam-4747	599	9	-	-	PUNCT
ejpam-4747	599	10	nadjafi	nadjafi	PROPN
ejpam-4747	599	11	.	.	PUNCT
ejpam-4747	600	1	he	he	PRON
ejpam-4747	600	2	’s	’	VERB
ejpam-4747	600	3	homotopy	homotopy	PROPN
ejpam-4747	600	4	perturbation	perturbation	NOUN
ejpam-4747	600	5	method	method	NOUN
ejpam-4747	600	6	for	for	ADP
ejpam-4747	600	7	calculating	calculate	VERB
ejpam-4747	600	8	adomian	adomian	NOUN
ejpam-4747	600	9	polynomials	polynomial	NOUN
ejpam-4747	600	10	.	.	PUNCT
ejpam-4747	601	1	international	international	ADJ
ejpam-4747	601	2	journal	journal	PROPN
ejpam-4747	601	3	of	of	ADP
ejpam-4747	601	4	nonlinear	nonlinear	PROPN
ejpam-4747	601	5	sciences	sciences	PROPN
ejpam-4747	601	6	and	and	CCONJ
ejpam-4747	601	7	numerical	numerical	PROPN
ejpam-4747	601	8	simulation	simulation	PROPN
ejpam-4747	601	9	,	,	PUNCT
ejpam-4747	601	10	8(2):229–232	8(2):229–232	PROPN
ejpam-4747	601	11	,	,	PUNCT
ejpam-4747	601	12	2007	2007	NUM
ejpam-4747	601	13	.	.	PUNCT
ejpam-4747	602	1	[	[	X
ejpam-4747	602	2	11	11	NUM
ejpam-4747	602	3	]	]	X
ejpam-4747	602	4	georgi	georgi	PROPN
ejpam-4747	602	5	g	g	PROPN
ejpam-4747	602	6	grahovski	grahovski	PROPN
ejpam-4747	602	7	,	,	PUNCT
ejpam-4747	602	8	amal	amal	PROPN
ejpam-4747	602	9	j	j	PROPN
ejpam-4747	602	10	mohammed	mohammed	PROPN
ejpam-4747	602	11	,	,	PUNCT
ejpam-4747	602	12	and	and	CCONJ
ejpam-4747	602	13	hadi	hadi	PROPN
ejpam-4747	602	14	susanto	susanto	PROPN
ejpam-4747	602	15	.	.	PUNCT
ejpam-4747	603	1	nonlocal	nonlocal	ADJ
ejpam-4747	603	2	reductions	reduction	NOUN
ejpam-4747	603	3	of	of	ADP
ejpam-4747	603	4	the	the	DET
ejpam-4747	603	5	ablowitz	ablowitz	NOUN
ejpam-4747	603	6	–	–	PUNCT
ejpam-4747	603	7	ladik	ladik	VERB
ejpam-4747	603	8	equation	equation	NOUN
ejpam-4747	603	9	.	.	PUNCT
ejpam-4747	604	1	theoretical	theoretical	ADJ
ejpam-4747	604	2	and	and	CCONJ
ejpam-4747	604	3	mathematical	mathematical	ADJ
ejpam-4747	604	4	physics	physics	NOUN
ejpam-4747	604	5	,	,	PUNCT
ejpam-4747	604	6	197(1):1412	197(1):1412	PROPN
ejpam-4747	604	7	–	–	PUNCT
ejpam-4747	604	8	1429	1429	NUM
ejpam-4747	604	9	,	,	PUNCT
ejpam-4747	604	10	2018	2018	NUM
ejpam-4747	604	11	.	.	PUNCT
ejpam-4747	605	1	[	[	X
ejpam-4747	605	2	12	12	NUM
ejpam-4747	605	3	]	]	X
ejpam-4747	605	4	georgi	georgi	PROPN
ejpam-4747	605	5	g	g	PROPN
ejpam-4747	605	6	grahovski	grahovski	PROPN
ejpam-4747	605	7	,	,	PUNCT
ejpam-4747	605	8	junaid	junaid	VERB
ejpam-4747	605	9	i	i	PRON
ejpam-4747	605	10	mustafa	mustafa	PROPN
ejpam-4747	605	11	,	,	PUNCT
ejpam-4747	605	12	and	and	CCONJ
ejpam-4747	605	13	hadi	hadi	PROPN
ejpam-4747	605	14	susanto	susanto	PROPN
ejpam-4747	605	15	.	.	PUNCT
ejpam-4747	606	1	nonlocal	nonlocal	ADJ
ejpam-4747	606	2	reductions	reduction	NOUN
ejpam-4747	606	3	of	of	ADP
ejpam-4747	606	4	the	the	DET
ejpam-4747	606	5	multicomponent	multicomponent	NOUN
ejpam-4747	606	6	nonlinear	nonlinear	PROPN
ejpam-4747	606	7	schrödinger	schrödinger	NOUN
ejpam-4747	606	8	equation	equation	NOUN
ejpam-4747	606	9	on	on	ADP
ejpam-4747	606	10	symmetric	symmetric	ADJ
ejpam-4747	606	11	spaces	space	NOUN
ejpam-4747	606	12	.	.	PUNCT
ejpam-4747	607	1	theoretical	theoretical	ADJ
ejpam-4747	607	2	and	and	CCONJ
ejpam-4747	607	3	mathematical	mathematical	ADJ
ejpam-4747	607	4	physics	physics	NOUN
ejpam-4747	607	5	,	,	PUNCT
ejpam-4747	607	6	197(1):1430–1450	197(1):1430–1450	PROPN
ejpam-4747	607	7	,	,	PUNCT
ejpam-4747	607	8	2018	2018	NUM
ejpam-4747	607	9	.	.	PUNCT
ejpam-4747	608	1	[	[	X
ejpam-4747	608	2	13	13	NUM
ejpam-4747	608	3	]	]	X
ejpam-4747	608	4	murat	murat	NOUN
ejpam-4747	608	5	gubes	gube	NOUN
ejpam-4747	608	6	.	.	PUNCT
ejpam-4747	609	1	a	a	DET
ejpam-4747	609	2	new	new	ADJ
ejpam-4747	609	3	calculation	calculation	NOUN
ejpam-4747	609	4	technique	technique	NOUN
ejpam-4747	609	5	for	for	ADP
ejpam-4747	609	6	the	the	DET
ejpam-4747	609	7	laplace	laplace	NOUN
ejpam-4747	609	8	and	and	CCONJ
ejpam-4747	609	9	sumudu	sumudu	NOUN
ejpam-4747	609	10	transforms	transform	VERB
ejpam-4747	609	11	by	by	ADP
ejpam-4747	609	12	means	mean	NOUN
ejpam-4747	609	13	of	of	ADP
ejpam-4747	609	14	the	the	DET
ejpam-4747	609	15	variational	variational	ADJ
ejpam-4747	609	16	iteration	iteration	NOUN
ejpam-4747	609	17	method	method	NOUN
ejpam-4747	609	18	.	.	PUNCT
ejpam-4747	610	1	mathematical	mathematical	ADJ
ejpam-4747	610	2	sciences	sciences	PROPN
ejpam-4747	610	3	,	,	PUNCT
ejpam-4747	610	4	13:21–25	13:21–25	NUM
ejpam-4747	610	5	,	,	PUNCT
ejpam-4747	610	6	2019	2019	NUM
ejpam-4747	610	7	.	.	PUNCT
ejpam-4747	611	1	[	[	X
ejpam-4747	611	2	14	14	NUM
ejpam-4747	611	3	]	]	X
ejpam-4747	611	4	hossein	hossein	PROPN
ejpam-4747	611	5	jafari	jafari	PROPN
ejpam-4747	611	6	.	.	PUNCT
ejpam-4747	612	1	a	a	DET
ejpam-4747	612	2	new	new	ADJ
ejpam-4747	612	3	general	general	ADJ
ejpam-4747	612	4	integral	integral	ADJ
ejpam-4747	612	5	transform	transform	NOUN
ejpam-4747	612	6	for	for	ADP
ejpam-4747	612	7	solving	solve	VERB
ejpam-4747	612	8	integral	integral	ADJ
ejpam-4747	612	9	equations	equation	NOUN
ejpam-4747	612	10	.	.	PUNCT
ejpam-4747	613	1	journal	journal	NOUN
ejpam-4747	613	2	of	of	ADP
ejpam-4747	613	3	advanced	advanced	ADJ
ejpam-4747	613	4	research	research	NOUN
ejpam-4747	613	5	,	,	PUNCT
ejpam-4747	613	6	32:133–138	32:133–138	PROPN
ejpam-4747	613	7	,	,	PUNCT
ejpam-4747	613	8	2021	2021	NUM
ejpam-4747	613	9	.	.	PUNCT
ejpam-4747	614	1	[	[	X
ejpam-4747	614	2	15	15	NUM
ejpam-4747	614	3	]	]	X
ejpam-4747	614	4	c	c	PROPN
ejpam-4747	614	5	jesuraj	jesuraj	PROPN
ejpam-4747	614	6	and	and	CCONJ
ejpam-4747	614	7	a	a	DET
ejpam-4747	614	8	rajkumar	rajkumar	PROPN
ejpam-4747	614	9	.	.	PUNCT
ejpam-4747	615	1	a	a	DET
ejpam-4747	615	2	new	new	ADJ
ejpam-4747	615	3	modified	modify	VERB
ejpam-4747	615	4	sumudu	sumudu	NOUN
ejpam-4747	615	5	transform	transform	NOUN
ejpam-4747	615	6	called	call	VERB
ejpam-4747	615	7	raj	raj	PROPN
ejpam-4747	615	8	transform	transform	NOUN
ejpam-4747	615	9	to	to	PART
ejpam-4747	615	10	solve	solve	VERB
ejpam-4747	615	11	differential	differential	ADJ
ejpam-4747	615	12	equations	equation	NOUN
ejpam-4747	615	13	and	and	CCONJ
ejpam-4747	615	14	problems	problem	NOUN
ejpam-4747	615	15	in	in	ADP
ejpam-4747	615	16	engineering	engineering	NOUN
ejpam-4747	615	17	and	and	CCONJ
ejpam-4747	615	18	science	science	NOUN
ejpam-4747	615	19	.	.	PUNCT
ejpam-4747	616	1	international	international	ADJ
ejpam-4747	616	2	journal	journal	PROPN
ejpam-4747	616	3	on	on	ADP
ejpam-4747	616	4	emerging	emerge	VERB
ejpam-4747	616	5	technologies	technology	NOUN
ejpam-4747	616	6	,	,	PUNCT
ejpam-4747	616	7	11(2):958–964	11(2):958–964	NUM
ejpam-4747	616	8	,	,	PUNCT
ejpam-4747	616	9	2020	2020	NUM
ejpam-4747	616	10	.	.	PUNCT
ejpam-4747	617	1	[	[	X
ejpam-4747	617	2	16	16	NUM
ejpam-4747	617	3	]	]	PUNCT
ejpam-4747	617	4	artion	artion	NOUN
ejpam-4747	617	5	kashuri	kashuri	PROPN
ejpam-4747	617	6	,	,	PUNCT
ejpam-4747	617	7	akli	akli	ADJ
ejpam-4747	617	8	fundo	fundo	NOUN
ejpam-4747	617	9	,	,	PUNCT
ejpam-4747	617	10	and	and	CCONJ
ejpam-4747	617	11	matilda	matilda	PROPN
ejpam-4747	617	12	kreku	kreku	PROPN
ejpam-4747	617	13	.	.	PUNCT
ejpam-4747	618	1	mixture	mixture	NOUN
ejpam-4747	618	2	of	of	ADP
ejpam-4747	618	3	a	a	DET
ejpam-4747	618	4	new	new	ADJ
ejpam-4747	618	5	integral	integral	ADJ
ejpam-4747	618	6	transform	transform	NOUN
ejpam-4747	618	7	and	and	CCONJ
ejpam-4747	618	8	homotopy	homotopy	VERB
ejpam-4747	618	9	perturbation	perturbation	NOUN
ejpam-4747	618	10	method	method	NOUN
ejpam-4747	618	11	for	for	ADP
ejpam-4747	618	12	solving	solve	VERB
ejpam-4747	618	13	nonlinear	nonlinear	ADJ
ejpam-4747	618	14	partial	partial	ADJ
ejpam-4747	618	15	differential	differential	NOUN
ejpam-4747	618	16	equations	equation	NOUN
ejpam-4747	618	17	.	.	PUNCT
ejpam-4747	619	1	2013	2013	NUM
ejpam-4747	619	2	.	.	PUNCT
ejpam-4747	620	1	[	[	X
ejpam-4747	620	2	17	17	NUM
ejpam-4747	620	3	]	]	PUNCT
ejpam-4747	620	4	bachir	bachir	PROPN
ejpam-4747	620	5	nour	nour	PROPN
ejpam-4747	620	6	kharrat	kharrat	PROPN
ejpam-4747	620	7	.	.	PUNCT
ejpam-4747	621	1	a	a	DET
ejpam-4747	621	2	new	new	ADJ
ejpam-4747	621	3	integral	integral	ADJ
ejpam-4747	621	4	transform	transform	NOUN
ejpam-4747	621	5	:	:	PUNCT
ejpam-4747	621	6	kharrat	kharrat	NOUN
ejpam-4747	621	7	-	-	PUNCT
ejpam-4747	621	8	toma	toma	PROPN
ejpam-4747	621	9	transform	transform	NOUN
ejpam-4747	621	10	and	and	CCONJ
ejpam-4747	621	11	its	its	PRON
ejpam-4747	621	12	properties	property	NOUN
ejpam-4747	621	13	.	.	PUNCT
ejpam-4747	622	1	world	world	NOUN
ejpam-4747	622	2	applied	apply	VERB
ejpam-4747	622	3	sciences	science	NOUN
ejpam-4747	622	4	journal	journal	NOUN
ejpam-4747	622	5	,	,	PUNCT
ejpam-4747	622	6	38(5):436–443	38(5):436–443	NUM
ejpam-4747	622	7	,	,	PUNCT
ejpam-4747	622	8	2020	2020	NUM
ejpam-4747	622	9	.	.	PUNCT
ejpam-4747	623	1	[	[	X
ejpam-4747	623	2	18	18	NUM
ejpam-4747	623	3	]	]	X
ejpam-4747	623	4	adem	adem	PROPN
ejpam-4747	623	5	kılıçman	kılıçman	PROPN
ejpam-4747	623	6	and	and	CCONJ
ejpam-4747	623	7	rathinavel	rathinavel	NOUN
ejpam-4747	623	8	silambarasan	silambarasan	NOUN
ejpam-4747	623	9	.	.	PUNCT
ejpam-4747	624	1	computing	compute	VERB
ejpam-4747	624	2	new	new	ADJ
ejpam-4747	624	3	solutions	solution	NOUN
ejpam-4747	624	4	of	of	ADP
ejpam-4747	624	5	algebrogeometric	algebrogeometric	ADJ
ejpam-4747	624	6	equation	equation	NOUN
ejpam-4747	624	7	using	use	VERB
ejpam-4747	624	8	the	the	DET
ejpam-4747	624	9	discrete	discrete	ADJ
ejpam-4747	624	10	inverse	inverse	NOUN
ejpam-4747	624	11	sumudu	sumudu	NOUN
ejpam-4747	624	12	transform	transform	NOUN
ejpam-4747	624	13	.	.	PUNCT
ejpam-4747	625	1	advances	advance	NOUN
ejpam-4747	625	2	in	in	ADP
ejpam-4747	625	3	difference	difference	NOUN
ejpam-4747	625	4	equations	equation	NOUN
ejpam-4747	625	5	,	,	PUNCT
ejpam-4747	625	6	2018(1):1–17	2018(1):1–17	PROPN
ejpam-4747	625	7	,	,	PUNCT
ejpam-4747	625	8	2018	2018	NUM
ejpam-4747	625	9	.	.	PUNCT
ejpam-4747	626	1	[	[	X
ejpam-4747	626	2	19	19	NUM
ejpam-4747	626	3	]	]	SYM
ejpam-4747	626	4	kevser	kevser	PROPN
ejpam-4747	626	5	köklü.	köklü.	PROPN
ejpam-4747	626	6	resolvent	resolvent	NOUN
ejpam-4747	626	7	,	,	PUNCT
ejpam-4747	626	8	natural	natural	ADJ
ejpam-4747	626	9	,	,	PUNCT
ejpam-4747	626	10	and	and	CCONJ
ejpam-4747	626	11	sumudu	sumudu	NOUN
ejpam-4747	626	12	transformations	transformation	NOUN
ejpam-4747	626	13	:	:	PUNCT
ejpam-4747	626	14	solution	solution	NOUN
ejpam-4747	626	15	of	of	ADP
ejpam-4747	626	16	logarithmic	logarithmic	ADJ
ejpam-4747	626	17	kernel	kernel	NOUN
ejpam-4747	626	18	integral	integral	ADJ
ejpam-4747	626	19	equations	equation	NOUN
ejpam-4747	626	20	with	with	ADP
ejpam-4747	626	21	natural	natural	ADJ
ejpam-4747	626	22	transform	transform	NOUN
ejpam-4747	626	23	.	.	PUNCT
ejpam-4747	626	24	mathematical	mathematical	ADJ
ejpam-4747	626	25	problems	problem	NOUN
ejpam-4747	626	26	in	in	ADP
ejpam-4747	626	27	engineering	engineering	NOUN
ejpam-4747	626	28	,	,	PUNCT
ejpam-4747	626	29	2020	2020	NUM
ejpam-4747	626	30	,	,	PUNCT
ejpam-4747	626	31	2020	2020	NUM
ejpam-4747	626	32	.	.	PUNCT
ejpam-4747	627	1	references	reference	NOUN
ejpam-4747	627	2	1045	1045	NUM
ejpam-4747	627	3	[	[	X
ejpam-4747	627	4	20	20	NUM
ejpam-4747	627	5	]	]	X
ejpam-4747	627	6	mam	mam	PROPN
ejpam-4747	627	7	mahgoub	mahgoub	NOUN
ejpam-4747	627	8	and	and	CCONJ
ejpam-4747	627	9	abdelbagy	abdelbagy	VERB
ejpam-4747	627	10	a	a	DET
ejpam-4747	627	11	alshikh	alshikh	NOUN
ejpam-4747	627	12	.	.	PUNCT
ejpam-4747	628	1	an	an	DET
ejpam-4747	628	2	application	application	NOUN
ejpam-4747	628	3	of	of	ADP
ejpam-4747	628	4	new	new	ADJ
ejpam-4747	628	5	transform	transform	NOUN
ejpam-4747	628	6	“	"	PUNCT
ejpam-4747	628	7	mahgoub	mahgoub	NOUN
ejpam-4747	628	8	transform	transform	NOUN
ejpam-4747	628	9	”	"	PUNCT
ejpam-4747	628	10	to	to	ADP
ejpam-4747	628	11	partial	partial	ADJ
ejpam-4747	628	12	differential	differential	ADJ
ejpam-4747	628	13	equations	equation	NOUN
ejpam-4747	628	14	.	.	PUNCT
ejpam-4747	629	1	mathematical	mathematical	ADJ
ejpam-4747	629	2	theory	theory	NOUN
ejpam-4747	629	3	and	and	CCONJ
ejpam-4747	629	4	modeling	modeling	NOUN
ejpam-4747	629	5	,	,	PUNCT
ejpam-4747	629	6	7(1):7–9	7(1):7–9	NUM
ejpam-4747	629	7	,	,	PUNCT
ejpam-4747	629	8	2017	2017	NUM
ejpam-4747	629	9	.	.	PUNCT
ejpam-4747	630	1	[	[	X
ejpam-4747	630	2	21	21	NUM
ejpam-4747	630	3	]	]	X
ejpam-4747	630	4	amal	amal	PROPN
ejpam-4747	630	5	jasim	jasim	PROPN
ejpam-4747	630	6	mohammed	mohammed	PROPN
ejpam-4747	630	7	,	,	PUNCT
ejpam-4747	630	8	sohaib	sohaib	PROPN
ejpam-4747	630	9	talal	talal	PROPN
ejpam-4747	630	10	al	al	PROPN
ejpam-4747	630	11	-	-	PUNCT
ejpam-4747	630	12	ramadhani	ramadhani	PROPN
ejpam-4747	630	13	,	,	PUNCT
ejpam-4747	630	14	and	and	CCONJ
ejpam-4747	630	15	rabeea	rabeea	PROPN
ejpam-4747	630	16	mohammed	mohammed	PROPN
ejpam-4747	630	17	hani	hani	PROPN
ejpam-4747	630	18	darghoth	darghoth	PROPN
ejpam-4747	630	19	.	.	PUNCT
ejpam-4747	631	1	the	the	DET
ejpam-4747	631	2	possible	possible	ADJ
ejpam-4747	631	3	solutions	solution	NOUN
ejpam-4747	631	4	for	for	ADP
ejpam-4747	631	5	the	the	DET
ejpam-4747	631	6	two	two	NUM
ejpam-4747	631	7	kdv	kdv	ADJ
ejpam-4747	631	8	-	-	PUNCT
ejpam-4747	631	9	type	type	NOUN
ejpam-4747	631	10	equations	equation	NOUN
ejpam-4747	631	11	using	use	VERB
ejpam-4747	631	12	a	a	DET
ejpam-4747	631	13	semianalytical	semianalytical	ADJ
ejpam-4747	631	14	kamal	kamal	ADJ
ejpam-4747	631	15	-	-	PUNCT
ejpam-4747	631	16	iteration	iteration	NOUN
ejpam-4747	631	17	method	method	NOUN
ejpam-4747	631	18	.	.	PUNCT
ejpam-4747	632	1	european	european	PROPN
ejpam-4747	632	2	journal	journal	PROPN
ejpam-4747	632	3	of	of	ADP
ejpam-4747	632	4	pure	pure	ADJ
ejpam-4747	632	5	and	and	CCONJ
ejpam-4747	632	6	applied	applied	ADJ
ejpam-4747	632	7	mathematics	mathematic	NOUN
ejpam-4747	632	8	,	,	PUNCT
ejpam-4747	632	9	15(4):1917–1936	15(4):1917–1936	NUM
ejpam-4747	632	10	,	,	PUNCT
ejpam-4747	632	11	2022	2022	NUM
ejpam-4747	632	12	.	.	PUNCT
ejpam-4747	633	1	[	[	X
ejpam-4747	633	2	22	22	NUM
ejpam-4747	633	3	]	]	X
ejpam-4747	633	4	amal	amal	PROPN
ejpam-4747	633	5	jasim	jasim	PROPN
ejpam-4747	633	6	mohammed	mohammed	PROPN
ejpam-4747	633	7	and	and	CCONJ
ejpam-4747	633	8	ahmed	ahmed	PROPN
ejpam-4747	633	9	farooq	farooq	PROPN
ejpam-4747	633	10	qasim	qasim	PROPN
ejpam-4747	633	11	.	.	PUNCT
ejpam-4747	634	1	a	a	DET
ejpam-4747	634	2	new	new	ADJ
ejpam-4747	634	3	procedure	procedure	NOUN
ejpam-4747	634	4	with	with	ADP
ejpam-4747	634	5	iteration	iteration	NOUN
ejpam-4747	634	6	methods	method	NOUN
ejpam-4747	634	7	to	to	PART
ejpam-4747	634	8	solve	solve	VERB
ejpam-4747	634	9	a	a	DET
ejpam-4747	634	10	nonlinear	nonlinear	ADJ
ejpam-4747	634	11	two	two	NUM
ejpam-4747	634	12	dimensional	dimensional	ADJ
ejpam-4747	634	13	bogoyavlensky	bogoyavlensky	NOUN
ejpam-4747	634	14	-	-	PUNCT
ejpam-4747	634	15	konopelchenko	konopelchenko	NOUN
ejpam-4747	634	16	equation	equation	NOUN
ejpam-4747	634	17	.	.	PUNCT
ejpam-4747	635	1	journal	journal	NOUN
ejpam-4747	635	2	of	of	ADP
ejpam-4747	635	3	interdisciplinary	interdisciplinary	ADJ
ejpam-4747	635	4	mathematics	mathematic	NOUN
ejpam-4747	635	5	,	,	PUNCT
ejpam-4747	635	6	25(2):537–552	25(2):537–552	NOUN
ejpam-4747	635	7	,	,	PUNCT
ejpam-4747	635	8	2022	2022	NUM
ejpam-4747	635	9	.	.	PUNCT
ejpam-4747	636	1	[	[	X
ejpam-4747	636	2	23	23	NUM
ejpam-4747	636	3	]	]	X
ejpam-4747	636	4	oludapo	oludapo	PROPN
ejpam-4747	636	5	omotola	omotola	PROPN
ejpam-4747	636	6	olubanwo	olubanwo	ADJ
ejpam-4747	636	7	,	,	PUNCT
ejpam-4747	636	8	olutunde	olutunde	ADJ
ejpam-4747	636	9	samuel	samuel	PROPN
ejpam-4747	636	10	odetunde	odetunde	NOUN
ejpam-4747	636	11	,	,	PUNCT
ejpam-4747	636	12	and	and	CCONJ
ejpam-4747	636	13	adetoro	adetoro	PROPN
ejpam-4747	636	14	temitope	temitope	NOUN
ejpam-4747	636	15	talabi	talabi	PROPN
ejpam-4747	636	16	.	.	PUNCT
ejpam-4747	637	1	aboodh	aboodh	PROPN
ejpam-4747	637	2	homotopy	homotopy	PROPN
ejpam-4747	637	3	perturbation	perturbation	NOUN
ejpam-4747	637	4	method	method	NOUN
ejpam-4747	637	5	of	of	ADP
ejpam-4747	637	6	solving	solve	VERB
ejpam-4747	637	7	burgers	burger	NOUN
ejpam-4747	637	8	equation	equation	NOUN
ejpam-4747	637	9	.	.	PUNCT
ejpam-4747	638	1	asian	asian	ADJ
ejpam-4747	638	2	journal	journal	PROPN
ejpam-4747	638	3	of	of	ADP
ejpam-4747	638	4	applied	apply	VERB
ejpam-4747	638	5	sciences	science	NOUN
ejpam-4747	638	6	,	,	PUNCT
ejpam-4747	638	7	7(2	7(2	NUM
ejpam-4747	638	8	)	)	PUNCT
ejpam-4747	638	9	,	,	PUNCT
ejpam-4747	638	10	2019	2019	NUM
ejpam-4747	638	11	.	.	PUNCT
ejpam-4747	639	1	[	[	X
ejpam-4747	639	2	24	24	NUM
ejpam-4747	639	3	]	]	PUNCT
ejpam-4747	639	4	dinkar	dinkar	PROPN
ejpam-4747	639	5	patil	patil	PROPN
ejpam-4747	639	6	.	.	PUNCT
ejpam-4747	640	1	aboodh	aboodh	PROPN
ejpam-4747	640	2	and	and	CCONJ
ejpam-4747	640	3	mahgoub	mahgoub	ADV
ejpam-4747	640	4	transform	transform	VERB
ejpam-4747	640	5	in	in	ADP
ejpam-4747	640	6	boundary	boundary	ADJ
ejpam-4747	640	7	value	value	NOUN
ejpam-4747	640	8	problems	problem	NOUN
ejpam-4747	640	9	of	of	ADP
ejpam-4747	640	10	system	system	NOUN
ejpam-4747	640	11	of	of	ADP
ejpam-4747	640	12	ordinary	ordinary	ADJ
ejpam-4747	640	13	differential	differential	ADJ
ejpam-4747	640	14	equations	equation	NOUN
ejpam-4747	640	15	.	.	PUNCT
ejpam-4747	641	1	dp	dp	PROPN
ejpam-4747	641	2	patil	patil	PROPN
ejpam-4747	641	3	,	,	PUNCT
ejpam-4747	641	4	aboodh	aboodh	VERB
ejpam-4747	641	5	and	and	CCONJ
ejpam-4747	641	6	mahgoub	mahgoub	ADV
ejpam-4747	641	7	transform	transform	VERB
ejpam-4747	641	8	in	in	ADP
ejpam-4747	641	9	boundary	boundary	ADJ
ejpam-4747	641	10	value	value	NOUN
ejpam-4747	641	11	problems	problem	NOUN
ejpam-4747	641	12	of	of	ADP
ejpam-4747	641	13	system	system	NOUN
ejpam-4747	641	14	of	of	ADP
ejpam-4747	641	15	ordinary	ordinary	ADJ
ejpam-4747	641	16	differential	differential	ADJ
ejpam-4747	641	17	equations	equation	NOUN
ejpam-4747	641	18	,	,	PUNCT
ejpam-4747	641	19	international	international	ADJ
ejpam-4747	641	20	journal	journal	NOUN
ejpam-4747	641	21	of	of	ADP
ejpam-4747	641	22	advanced	advanced	ADJ
ejpam-4747	641	23	research	research	NOUN
ejpam-4747	641	24	in	in	ADP
ejpam-4747	641	25	science	science	NOUN
ejpam-4747	641	26	,	,	PUNCT
ejpam-4747	641	27	communication	communication	NOUN
ejpam-4747	641	28	and	and	CCONJ
ejpam-4747	641	29	technology	technology	NOUN
ejpam-4747	641	30	(	(	PUNCT
ejpam-4747	641	31	ijarsct	ijarsct	PROPN
ejpam-4747	641	32	)	)	PUNCT
ejpam-4747	641	33	,	,	PUNCT
ejpam-4747	641	34	pages	page	NOUN
ejpam-4747	641	35	67–75	67–75	NUM
ejpam-4747	641	36	,	,	PUNCT
ejpam-4747	641	37	2022	2022	NUM
ejpam-4747	641	38	.	.	PUNCT
ejpam-4747	642	1	[	[	X
ejpam-4747	642	2	25	25	NUM
ejpam-4747	642	3	]	]	X
ejpam-4747	642	4	patarawadee	patarawadee	PROPN
ejpam-4747	642	5	prasertsang	prasertsang	PROPN
ejpam-4747	642	6	,	,	PUNCT
ejpam-4747	642	7	supaknaree	supaknaree	ADJ
ejpam-4747	642	8	sattaso	sattaso	NOUN
ejpam-4747	642	9	,	,	PUNCT
ejpam-4747	642	10	kamsing	kamse	VERB
ejpam-4747	642	11	nonlaopon	nonlaopon	ADV
ejpam-4747	642	12	,	,	PUNCT
ejpam-4747	642	13	and	and	CCONJ
ejpam-4747	642	14	hwajoon	hwajoon	PROPN
ejpam-4747	642	15	kim	kim	PROPN
ejpam-4747	642	16	.	.	PUNCT
ejpam-4747	643	1	analytical	analytical	ADJ
ejpam-4747	643	2	study	study	NOUN
ejpam-4747	643	3	for	for	ADP
ejpam-4747	643	4	certain	certain	ADJ
ejpam-4747	643	5	ordinary	ordinary	ADJ
ejpam-4747	643	6	differential	differential	ADJ
ejpam-4747	643	7	equations	equation	NOUN
ejpam-4747	643	8	with	with	ADP
ejpam-4747	643	9	variable	variable	ADJ
ejpam-4747	643	10	coefficients	coefficient	NOUN
ejpam-4747	643	11	via	via	ADP
ejpam-4747	643	12	gα	gα	NOUN
ejpam-4747	643	13	-	-	PUNCT
ejpam-4747	643	14	transform	transform	NOUN
ejpam-4747	643	15	.	.	PUNCT
ejpam-4747	644	1	european	european	ADJ
ejpam-4747	644	2	journal	journal	PROPN
ejpam-4747	644	3	of	of	ADP
ejpam-4747	644	4	pure	pure	ADJ
ejpam-4747	644	5	and	and	CCONJ
ejpam-4747	644	6	applied	applied	ADJ
ejpam-4747	644	7	mathematics	mathematic	NOUN
ejpam-4747	644	8	,	,	PUNCT
ejpam-4747	644	9	14(4):1184–1199	14(4):1184–1199	NUM
ejpam-4747	644	10	,	,	PUNCT
ejpam-4747	644	11	2021	2021	NUM
ejpam-4747	644	12	.	.	PUNCT
ejpam-4747	645	1	[	[	X
ejpam-4747	645	2	26	26	NUM
ejpam-4747	645	3	]	]	X
ejpam-4747	645	4	ls	ls	ADJ
ejpam-4747	645	5	sawant	sawant	NOUN
ejpam-4747	645	6	.	.	PUNCT
ejpam-4747	646	1	applications	application	NOUN
ejpam-4747	646	2	of	of	ADP
ejpam-4747	646	3	laplace	laplace	NOUN
ejpam-4747	646	4	transform	transform	NOUN
ejpam-4747	646	5	in	in	ADP
ejpam-4747	646	6	engineering	engineering	NOUN
ejpam-4747	646	7	fields	field	NOUN
ejpam-4747	646	8	.	.	PUNCT
ejpam-4747	647	1	international	international	ADJ
ejpam-4747	647	2	research	research	PROPN
ejpam-4747	647	3	journal	journal	NOUN
ejpam-4747	647	4	of	of	ADP
ejpam-4747	647	5	engineering	engineering	NOUN
ejpam-4747	647	6	and	and	CCONJ
ejpam-4747	647	7	technology	technology	NOUN
ejpam-4747	647	8	,	,	PUNCT
ejpam-4747	647	9	5(5):3100–3105	5(5):3100–3105	PROPN
ejpam-4747	647	10	,	,	PUNCT
ejpam-4747	647	11	2018	2018	NUM
ejpam-4747	647	12	.	.	PUNCT
ejpam-4747	648	1	[	[	X
ejpam-4747	648	2	27	27	NUM
ejpam-4747	648	3	]	]	X
ejpam-4747	648	4	dinkar	dinkar	PROPN
ejpam-4747	648	5	sharma	sharma	PROPN
ejpam-4747	648	6	,	,	PUNCT
ejpam-4747	648	7	prince	prince	PROPN
ejpam-4747	648	8	singh	singh	PROPN
ejpam-4747	648	9	,	,	PUNCT
ejpam-4747	648	10	and	and	CCONJ
ejpam-4747	648	11	shubha	shubha	PROPN
ejpam-4747	648	12	chauhan	chauhan	PROPN
ejpam-4747	648	13	.	.	PROPN
ejpam-4747	648	14	homotopy	homotopy	PROPN
ejpam-4747	648	15	perturbation	perturbation	NOUN
ejpam-4747	648	16	transform	transform	NOUN
ejpam-4747	648	17	method	method	NOUN
ejpam-4747	648	18	with	with	ADP
ejpam-4747	648	19	he	he	PRON
ejpam-4747	648	20	’s	’	VERB
ejpam-4747	648	21	polynomial	polynomial	ADJ
ejpam-4747	648	22	for	for	ADP
ejpam-4747	648	23	solution	solution	NOUN
ejpam-4747	648	24	of	of	ADP
ejpam-4747	648	25	coupled	couple	VERB
ejpam-4747	648	26	nonlinear	nonlinear	ADJ
ejpam-4747	648	27	partial	partial	ADJ
ejpam-4747	648	28	differential	differential	NOUN
ejpam-4747	648	29	equations	equation	NOUN
ejpam-4747	648	30	.	.	PUNCT
ejpam-4747	649	1	nonlinear	nonlinear	ADJ
ejpam-4747	649	2	engineering	engineering	NOUN
ejpam-4747	649	3	,	,	PUNCT
ejpam-4747	649	4	5(1):17–23	5(1):17–23	NUM
ejpam-4747	649	5	,	,	PUNCT
ejpam-4747	649	6	2016	2016	NUM
ejpam-4747	649	7	.	.	PUNCT
ejpam-4747	650	1	[	[	X
ejpam-4747	650	2	28	28	NUM
ejpam-4747	650	3	]	]	X
ejpam-4747	650	4	pilasluck	pilasluck	NOUN
ejpam-4747	650	5	sornkaew	sornkaew	PROPN
ejpam-4747	650	6	and	and	CCONJ
ejpam-4747	650	7	kanyarat	kanyarat	PROPN
ejpam-4747	650	8	phollamat	phollamat	PROPN
ejpam-4747	650	9	.	.	PUNCT
ejpam-4747	651	1	solution	solution	NOUN
ejpam-4747	651	2	of	of	ADP
ejpam-4747	651	3	partial	partial	ADJ
ejpam-4747	651	4	differential	differential	ADJ
ejpam-4747	651	5	equations	equation	NOUN
ejpam-4747	651	6	by	by	ADP
ejpam-4747	651	7	using	use	VERB
ejpam-4747	651	8	mohand	mohand	NOUN
ejpam-4747	651	9	transforms	transform	VERB
ejpam-4747	651	10	.	.	PUNCT
ejpam-4747	652	1	in	in	ADP
ejpam-4747	652	2	journal	journal	PROPN
ejpam-4747	652	3	of	of	ADP
ejpam-4747	652	4	physics	physics	PROPN
ejpam-4747	652	5	:	:	PUNCT
ejpam-4747	652	6	conference	conference	NOUN
ejpam-4747	652	7	series	series	NOUN
ejpam-4747	652	8	,	,	PUNCT
ejpam-4747	652	9	volume	volume	NOUN
ejpam-4747	652	10	1850	1850	NUM
ejpam-4747	652	11	.	.	PUNCT
ejpam-4747	653	1	iop	iop	NOUN
ejpam-4747	653	2	publishing	publishing	NOUN
ejpam-4747	653	3	,	,	PUNCT
ejpam-4747	653	4	2021	2021	NUM
ejpam-4747	653	5	.	.	PUNCT
ejpam-4747	654	1	[	[	X
ejpam-4747	654	2	29	29	NUM
ejpam-4747	654	3	]	]	X
ejpam-4747	654	4	betty	betty	PROPN
ejpam-4747	654	5	subartini	subartini	PROPN
ejpam-4747	654	6	,	,	PUNCT
ejpam-4747	654	7	ira	ira	PROPN
ejpam-4747	654	8	sumiati	sumiati	PROPN
ejpam-4747	654	9	,	,	PUNCT
ejpam-4747	654	10	riaman	riaman	PROPN
ejpam-4747	654	11	sukono	sukono	PROPN
ejpam-4747	654	12	,	,	PUNCT
ejpam-4747	654	13	and	and	CCONJ
ejpam-4747	654	14	ibrahim	ibrahim	PROPN
ejpam-4747	654	15	mohammed	mohammed	PROPN
ejpam-4747	654	16	sulaiman	sulaiman	PROPN
ejpam-4747	654	17	.	.	PUNCT
ejpam-4747	655	1	combined	combine	VERB
ejpam-4747	655	2	adomian	adomian	NOUN
ejpam-4747	655	3	decomposition	decomposition	NOUN
ejpam-4747	655	4	method	method	NOUN
ejpam-4747	655	5	with	with	ADP
ejpam-4747	655	6	integral	integral	ADJ
ejpam-4747	655	7	transform	transform	NOUN
ejpam-4747	655	8	.	.	PUNCT
ejpam-4747	655	9	2021	2021	NUM
ejpam-4747	655	10	.	.	PUNCT
ejpam-4747	656	1	[	[	X
ejpam-4747	656	2	30	30	NUM
ejpam-4747	656	3	]	]	X
ejpam-4747	656	4	janki	janki	PROPN
ejpam-4747	656	5	vashi	vashi	PROPN
ejpam-4747	656	6	and	and	CCONJ
ejpam-4747	656	7	mg	mg	PROPN
ejpam-4747	656	8	timol	timol	PROPN
ejpam-4747	656	9	.	.	PUNCT
ejpam-4747	657	1	laplace	laplace	NOUN
ejpam-4747	657	2	and	and	CCONJ
ejpam-4747	657	3	sumudu	sumudu	NOUN
ejpam-4747	657	4	transforms	transform	VERB
ejpam-4747	657	5	and	and	CCONJ
ejpam-4747	657	6	their	their	PRON
ejpam-4747	657	7	application	application	NOUN
ejpam-4747	657	8	.	.	PUNCT
ejpam-4747	658	1	int	int	NOUN
ejpam-4747	658	2	.	.	PUNCT
ejpam-4747	659	1	j.	j.	PROPN
ejpam-4747	659	2	innov	innov	PROPN
ejpam-4747	659	3	.	.	PUNCT
ejpam-4747	660	1	sci	sci	PROPN
ejpam-4747	660	2	.	.	PROPN
ejpam-4747	660	3	,	,	PUNCT
ejpam-4747	660	4	eng	eng	PROPN
ejpam-4747	660	5	.	.	PROPN
ejpam-4747	660	6	technol	technol	PROPN
ejpam-4747	660	7	,	,	PUNCT
ejpam-4747	660	8	3(8):538–542	3(8):538–542	NUM
ejpam-4747	660	9	,	,	PUNCT
ejpam-4747	660	10	2016	2016	NUM
ejpam-4747	660	11	.	.	PUNCT
ejpam-4747	661	1	[	[	X
ejpam-4747	661	2	31	31	NUM
ejpam-4747	661	3	]	]	PUNCT
ejpam-4747	661	4	yuan	yuan	PROPN
ejpam-4747	661	5	wei	wei	PROPN
ejpam-4747	661	6	,	,	PUNCT
ejpam-4747	661	7	li	li	PROPN
ejpam-4747	661	8	yin	yin	PROPN
ejpam-4747	661	9	,	,	PUNCT
ejpam-4747	661	10	and	and	CCONJ
ejpam-4747	661	11	xin	xin	PROPN
ejpam-4747	661	12	long	long	ADV
ejpam-4747	661	13	.	.	PUNCT
ejpam-4747	662	1	the	the	DET
ejpam-4747	662	2	coupling	couple	VERB
ejpam-4747	662	3	integrable	integrable	ADJ
ejpam-4747	662	4	couplings	coupling	NOUN
ejpam-4747	662	5	of	of	ADP
ejpam-4747	662	6	the	the	DET
ejpam-4747	662	7	generalized	generalize	VERB
ejpam-4747	662	8	coupled	couple	VERB
ejpam-4747	662	9	burgers	burger	NOUN
ejpam-4747	662	10	equation	equation	NOUN
ejpam-4747	662	11	hierarchy	hierarchy	NOUN
ejpam-4747	662	12	and	and	CCONJ
ejpam-4747	662	13	its	its	PRON
ejpam-4747	662	14	hamiltonian	hamiltonian	ADJ
ejpam-4747	662	15	structure	structure	NOUN
ejpam-4747	662	16	.	.	PUNCT
ejpam-4747	663	1	advances	advance	NOUN
ejpam-4747	663	2	in	in	ADP
ejpam-4747	663	3	difference	difference	NOUN
ejpam-4747	663	4	equations	equation	NOUN
ejpam-4747	663	5	,	,	PUNCT
ejpam-4747	663	6	2019(1):1–17	2019(1):1–17	PROPN
ejpam-4747	663	7	,	,	PUNCT
ejpam-4747	663	8	2019	2019	NUM
ejpam-4747	663	9	.	.	PUNCT
ejpam-4747	664	1	references	reference	NOUN
ejpam-4747	664	2	1046	1046	NUM
ejpam-4747	664	3	[	[	X
ejpam-4747	664	4	32	32	NUM
ejpam-4747	664	5	]	]	PUNCT
ejpam-4747	664	6	djelloul	djelloul	PROPN
ejpam-4747	664	7	ziane	ziane	NOUN
ejpam-4747	664	8	,	,	PUNCT
ejpam-4747	664	9	rachid	rachid	PROPN
ejpam-4747	664	10	belgacem	belgacem	PROPN
ejpam-4747	664	11	,	,	PUNCT
ejpam-4747	664	12	and	and	CCONJ
ejpam-4747	664	13	ahmed	ahmed	PROPN
ejpam-4747	664	14	bokhari	bokhari	PROPN
ejpam-4747	664	15	.	.	PUNCT
ejpam-4747	665	1	a	a	DET
ejpam-4747	665	2	new	new	ADJ
ejpam-4747	665	3	modified	modify	VERB
ejpam-4747	665	4	adomian	adomian	NOUN
ejpam-4747	665	5	decomposition	decomposition	NOUN
ejpam-4747	665	6	method	method	NOUN
ejpam-4747	665	7	for	for	ADP
ejpam-4747	665	8	nonlinear	nonlinear	ADJ
ejpam-4747	665	9	partial	partial	ADJ
ejpam-4747	665	10	differential	differential	NOUN
ejpam-4747	665	11	equations	equation	NOUN
ejpam-4747	665	12	.	.	PUNCT
ejpam-4747	666	1	open	open	ADJ
ejpam-4747	666	2	j.	j.	PROPN
ejpam-4747	666	3	math	math	PROPN
ejpam-4747	666	4	.	.	PUNCT
ejpam-4747	667	1	anal	anal	PROPN
ejpam-4747	667	2	,	,	PUNCT
ejpam-4747	667	3	3:81–90	3:81–90	NUM
ejpam-4747	667	4	,	,	PUNCT
ejpam-4747	667	5	2019	2019	NUM
ejpam-4747	667	6	.	.	PUNCT