id	sid	tid	token	lemma	pos
ejpam-3330	1	1	a	a	DET
ejpam-3330	1	2	generalization	generalization	NOUN
ejpam-3330	1	3	of	of	ADP
ejpam-3330	1	4	integral	integral	ADJ
ejpam-3330	1	5	transform	transform	NOUN
ejpam-3330	1	6	european	european	ADJ
ejpam-3330	1	7	journal	journal	PROPN
ejpam-3330	1	8	of	of	ADP
ejpam-3330	1	9	pure	pure	ADJ
ejpam-3330	1	10	and	and	CCONJ
ejpam-3330	1	11	applied	apply	VERB
ejpam-3330	1	12	mathematics	mathematic	NOUN
ejpam-3330	1	13	vol	vol	NOUN
ejpam-3330	1	14	.	.	PUNCT
ejpam-3330	1	15	11	11	NUM
ejpam-3330	1	16	,	,	PUNCT
ejpam-3330	1	17	no	no	INTJ
ejpam-3330	1	18	.	.	NOUN
ejpam-3330	1	19	4	4	NUM
ejpam-3330	1	20	,	,	PUNCT
ejpam-3330	1	21	2018	2018	NUM
ejpam-3330	1	22	,	,	PUNCT
ejpam-3330	1	23	1130	1130	NUM
ejpam-3330	1	24	-	-	SYM
ejpam-3330	1	25	1142	1142	NUM
ejpam-3330	1	26	issn	issn	PROPN
ejpam-3330	1	27	1307	1307	NUM
ejpam-3330	1	28	-	-	SYM
ejpam-3330	1	29	5543	5543	NUM
ejpam-3330	1	30	–	–	PUNCT
ejpam-3330	1	31	www.ejpam.com	www.ejpam.com	X
ejpam-3330	1	32	published	publish	VERB
ejpam-3330	1	33	by	by	ADP
ejpam-3330	1	34	new	new	PROPN
ejpam-3330	1	35	york	york	PROPN
ejpam-3330	1	36	business	business	PROPN
ejpam-3330	1	37	global	global	PROPN
ejpam-3330	1	38	a	a	DET
ejpam-3330	1	39	generalization	generalization	NOUN
ejpam-3330	1	40	of	of	ADP
ejpam-3330	1	41	integral	integral	ADJ
ejpam-3330	1	42	transform	transform	NOUN
ejpam-3330	1	43	benedict	benedict	PROPN
ejpam-3330	1	44	barnes1,∗	barnes1,∗	PROPN
ejpam-3330	1	45	,	,	PUNCT
ejpam-3330	1	46	c.	c.	PROPN
ejpam-3330	1	47	sebil1	sebil1	PROPN
ejpam-3330	1	48	,	,	PUNCT
ejpam-3330	1	49	a.	a.	PROPN
ejpam-3330	1	50	quaye1	quaye1	PROPN
ejpam-3330	1	51	1	1	NUM
ejpam-3330	1	52	department	department	NOUN
ejpam-3330	1	53	of	of	ADP
ejpam-3330	1	54	mathematics	mathematics	PROPN
ejpam-3330	1	55	,	,	PUNCT
ejpam-3330	1	56	kwame	kwame	PROPN
ejpam-3330	1	57	nkrumah	nkrumah	PROPN
ejpam-3330	1	58	university	university	PROPN
ejpam-3330	1	59	of	of	ADP
ejpam-3330	1	60	science	science	NOUN
ejpam-3330	1	61	and	and	CCONJ
ejpam-3330	1	62	technology	technology	NOUN
ejpam-3330	1	63	,	,	PUNCT
ejpam-3330	1	64	kumasi	kumasi	PROPN
ejpam-3330	1	65	,	,	PUNCT
ejpam-3330	1	66	ghana	ghana	PROPN
ejpam-3330	1	67	abstract	abstract	NOUN
ejpam-3330	1	68	.	.	PUNCT
ejpam-3330	2	1	in	in	ADP
ejpam-3330	2	2	this	this	DET
ejpam-3330	2	3	paper	paper	NOUN
ejpam-3330	2	4	,	,	PUNCT
ejpam-3330	2	5	the	the	DET
ejpam-3330	2	6	generalization	generalization	NOUN
ejpam-3330	2	7	of	of	ADP
ejpam-3330	2	8	integral	integral	ADJ
ejpam-3330	2	9	transform	transform	NOUN
ejpam-3330	2	10	(	(	PUNCT
ejpam-3330	2	11	git	git	NOUN
ejpam-3330	2	12	)	)	PUNCT
ejpam-3330	2	13	of	of	ADP
ejpam-3330	2	14	the	the	DET
ejpam-3330	2	15	function	function	NOUN
ejpam-3330	2	16	g{f(t	g{f(t	NOUN
ejpam-3330	2	17	)	)	PUNCT
ejpam-3330	2	18	}	}	PUNCT
ejpam-3330	2	19	is	be	AUX
ejpam-3330	2	20	introduced	introduce	VERB
ejpam-3330	2	21	for	for	ADP
ejpam-3330	2	22	solving	solve	VERB
ejpam-3330	2	23	both	both	CCONJ
ejpam-3330	2	24	the	the	DET
ejpam-3330	2	25	differential	differential	ADJ
ejpam-3330	2	26	and	and	CCONJ
ejpam-3330	2	27	interodifferential	interodifferential	ADJ
ejpam-3330	2	28	equations	equation	NOUN
ejpam-3330	2	29	.	.	PUNCT
ejpam-3330	3	1	this	this	DET
ejpam-3330	3	2	transform	transform	NOUN
ejpam-3330	3	3	generalizes	generalize	VERB
ejpam-3330	3	4	the	the	DET
ejpam-3330	3	5	integral	integral	ADJ
ejpam-3330	3	6	transforms	transform	NOUN
ejpam-3330	3	7	which	which	PRON
ejpam-3330	3	8	use	use	VERB
ejpam-3330	3	9	exponential	exponential	ADJ
ejpam-3330	3	10	functions	function	NOUN
ejpam-3330	3	11	as	as	ADP
ejpam-3330	3	12	their	their	PRON
ejpam-3330	3	13	kernels	kernel	NOUN
ejpam-3330	3	14	and	and	CCONJ
ejpam-3330	3	15	the	the	DET
ejpam-3330	3	16	integral	integral	ADJ
ejpam-3330	3	17	transform	transform	NOUN
ejpam-3330	3	18	with	with	ADP
ejpam-3330	3	19	polynomial	polynomial	ADJ
ejpam-3330	3	20	function	function	NOUN
ejpam-3330	3	21	as	as	ADP
ejpam-3330	3	22	a	a	DET
ejpam-3330	3	23	kernel	kernel	NOUN
ejpam-3330	3	24	.	.	PUNCT
ejpam-3330	4	1	the	the	DET
ejpam-3330	4	2	generalized	generalized	ADJ
ejpam-3330	4	3	integral	integral	ADJ
ejpam-3330	4	4	transform	transform	NOUN
ejpam-3330	4	5	converts	convert	VERB
ejpam-3330	4	6	the	the	DET
ejpam-3330	4	7	differential	differential	ADJ
ejpam-3330	4	8	equation	equation	NOUN
ejpam-3330	4	9	into	into	ADP
ejpam-3330	4	10	us	us	PROPN
ejpam-3330	4	11	domain	domain	NOUN
ejpam-3330	4	12	(	(	PUNCT
ejpam-3330	4	13	the	the	DET
ejpam-3330	4	14	transformed	transform	VERB
ejpam-3330	4	15	variables	variable	NOUN
ejpam-3330	4	16	)	)	PUNCT
ejpam-3330	4	17	and	and	CCONJ
ejpam-3330	4	18	reconverts	reconvert	NOUN
ejpam-3330	4	19	the	the	DET
ejpam-3330	4	20	result	result	NOUN
ejpam-3330	4	21	by	by	ADP
ejpam-3330	4	22	its	its	PRON
ejpam-3330	4	23	inverse	inverse	NOUN
ejpam-3330	4	24	operator	operator	NOUN
ejpam-3330	4	25	.	.	PUNCT
ejpam-3330	5	1	in	in	ADP
ejpam-3330	5	2	particular	particular	ADJ
ejpam-3330	5	3	,	,	PUNCT
ejpam-3330	5	4	if	if	SCONJ
ejpam-3330	5	5	u	u	NOUN
ejpam-3330	5	6	=	=	NOUN
ejpam-3330	5	7	1	1	NUM
ejpam-3330	5	8	,	,	PUNCT
ejpam-3330	5	9	then	then	ADV
ejpam-3330	5	10	the	the	DET
ejpam-3330	5	11	generalized	generalized	ADJ
ejpam-3330	5	12	integral	integral	ADJ
ejpam-3330	5	13	transform	transform	NOUN
ejpam-3330	5	14	coincides	coincide	VERB
ejpam-3330	5	15	with	with	ADP
ejpam-3330	5	16	the	the	DET
ejpam-3330	5	17	laplace	laplace	NOUN
ejpam-3330	5	18	transform	transform	NOUN
ejpam-3330	5	19	and	and	CCONJ
ejpam-3330	5	20	this	this	DET
ejpam-3330	5	21	result	result	NOUN
ejpam-3330	5	22	can	can	AUX
ejpam-3330	5	23	be	be	AUX
ejpam-3330	5	24	written	write	VERB
ejpam-3330	5	25	in	in	ADP
ejpam-3330	5	26	another	another	DET
ejpam-3330	5	27	form	form	NOUN
ejpam-3330	5	28	as	as	ADP
ejpam-3330	5	29	the	the	DET
ejpam-3330	5	30	polynomial	polynomial	ADJ
ejpam-3330	5	31	integral	integral	ADJ
ejpam-3330	5	32	transform	transform	NOUN
ejpam-3330	5	33	.	.	PUNCT
ejpam-3330	6	1	2010	2010	NUM
ejpam-3330	6	2	mathematics	mathematic	NOUN
ejpam-3330	6	3	subject	subject	NOUN
ejpam-3330	6	4	classifications	classification	NOUN
ejpam-3330	6	5	:	:	PUNCT
ejpam-3330	6	6	44b53	44b53	NUM
ejpam-3330	6	7	,	,	PUNCT
ejpam-3330	6	8	44b54	44b54	NUM
ejpam-3330	6	9	key	key	ADJ
ejpam-3330	6	10	words	word	NOUN
ejpam-3330	6	11	and	and	CCONJ
ejpam-3330	6	12	phrases	phrase	NOUN
ejpam-3330	6	13	:	:	PUNCT
ejpam-3330	6	14	generalization	generalization	NOUN
ejpam-3330	6	15	of	of	ADP
ejpam-3330	6	16	integral	integral	ADJ
ejpam-3330	6	17	transform	transform	NOUN
ejpam-3330	6	18	,	,	PUNCT
ejpam-3330	6	19	kernel	kernel	NOUN
ejpam-3330	6	20	,	,	PUNCT
ejpam-3330	6	21	differential	differential	ADJ
ejpam-3330	6	22	equation	equation	NOUN
ejpam-3330	6	23	1	1	NUM
ejpam-3330	6	24	.	.	PUNCT
ejpam-3330	6	25	introduction	introduction	NOUN
ejpam-3330	6	26	the	the	DET
ejpam-3330	6	27	role	role	NOUN
ejpam-3330	6	28	of	of	ADP
ejpam-3330	6	29	integral	integral	ADJ
ejpam-3330	6	30	transforms	transform	NOUN
ejpam-3330	6	31	has	have	AUX
ejpam-3330	6	32	been	be	AUX
ejpam-3330	6	33	increasingly	increasingly	ADV
ejpam-3330	6	34	recognized	recognize	VERB
ejpam-3330	6	35	in	in	ADP
ejpam-3330	6	36	the	the	DET
ejpam-3330	6	37	scientific	scientific	ADJ
ejpam-3330	6	38	world	world	NOUN
ejpam-3330	6	39	.	.	PUNCT
ejpam-3330	7	1	most	most	ADJ
ejpam-3330	7	2	of	of	ADP
ejpam-3330	7	3	the	the	DET
ejpam-3330	7	4	problems	problem	NOUN
ejpam-3330	7	5	in	in	ADP
ejpam-3330	7	6	fluid	fluid	ADJ
ejpam-3330	7	7	mechanics	mechanic	NOUN
ejpam-3330	7	8	,	,	PUNCT
ejpam-3330	7	9	circuit	circuit	NOUN
ejpam-3330	7	10	design	design	NOUN
ejpam-3330	7	11	,	,	PUNCT
ejpam-3330	7	12	heat	heat	NOUN
ejpam-3330	7	13	transfer	transfer	NOUN
ejpam-3330	7	14	,	,	PUNCT
ejpam-3330	7	15	population	population	NOUN
ejpam-3330	7	16	of	of	ADP
ejpam-3330	7	17	species	specie	NOUN
ejpam-3330	7	18	,	,	PUNCT
ejpam-3330	7	19	are	be	AUX
ejpam-3330	7	20	all	all	PRON
ejpam-3330	7	21	continuous	continuous	ADJ
ejpam-3330	7	22	processes	process	NOUN
ejpam-3330	7	23	,	,	PUNCT
ejpam-3330	7	24	which	which	PRON
ejpam-3330	7	25	are	be	AUX
ejpam-3330	7	26	modelled	model	VERB
ejpam-3330	7	27	as	as	ADP
ejpam-3330	7	28	either	either	CCONJ
ejpam-3330	7	29	differential	differential	ADJ
ejpam-3330	7	30	or	or	CCONJ
ejpam-3330	7	31	integrodifferential	integrodifferential	ADJ
ejpam-3330	7	32	equations	equation	NOUN
ejpam-3330	7	33	with	with	ADP
ejpam-3330	7	34	known	know	VERB
ejpam-3330	7	35	initial	initial	ADJ
ejpam-3330	7	36	or	or	CCONJ
ejpam-3330	7	37	boundary	boundary	ADJ
ejpam-3330	7	38	conditions	condition	NOUN
ejpam-3330	7	39	.	.	PUNCT
ejpam-3330	8	1	searching	search	VERB
ejpam-3330	8	2	for	for	ADP
ejpam-3330	8	3	the	the	DET
ejpam-3330	8	4	solutions	solution	NOUN
ejpam-3330	8	5	of	of	ADP
ejpam-3330	8	6	differential	differential	ADJ
ejpam-3330	8	7	equations	equation	NOUN
ejpam-3330	8	8	is	be	AUX
ejpam-3330	8	9	a	a	DET
ejpam-3330	8	10	pertinent	pertinent	ADJ
ejpam-3330	8	11	issue	issue	NOUN
ejpam-3330	8	12	which	which	PRON
ejpam-3330	8	13	concerns	concern	VERB
ejpam-3330	8	14	every	every	DET
ejpam-3330	8	15	scientist	scientist	NOUN
ejpam-3330	8	16	.	.	PUNCT
ejpam-3330	9	1	over	over	ADP
ejpam-3330	9	2	the	the	DET
ejpam-3330	9	3	years	year	NOUN
ejpam-3330	9	4	,	,	PUNCT
ejpam-3330	9	5	the	the	DET
ejpam-3330	9	6	researchers	researcher	NOUN
ejpam-3330	9	7	across	across	ADP
ejpam-3330	9	8	the	the	DET
ejpam-3330	9	9	globe	globe	NOUN
ejpam-3330	9	10	have	have	AUX
ejpam-3330	9	11	come	come	VERB
ejpam-3330	9	12	out	out	ADP
ejpam-3330	9	13	with	with	ADP
ejpam-3330	9	14	some	some	DET
ejpam-3330	9	15	methods	method	NOUN
ejpam-3330	9	16	for	for	ADP
ejpam-3330	9	17	solving	solve	VERB
ejpam-3330	9	18	differential	differential	ADJ
ejpam-3330	9	19	equations	equation	NOUN
ejpam-3330	9	20	.	.	PUNCT
ejpam-3330	10	1	the	the	DET
ejpam-3330	10	2	type	type	NOUN
ejpam-3330	10	3	and	and	CCONJ
ejpam-3330	10	4	order	order	NOUN
ejpam-3330	10	5	of	of	ADP
ejpam-3330	10	6	the	the	DET
ejpam-3330	10	7	differential	differential	ADJ
ejpam-3330	10	8	equation	equation	NOUN
ejpam-3330	10	9	determines	determine	VERB
ejpam-3330	10	10	the	the	DET
ejpam-3330	10	11	method	method	NOUN
ejpam-3330	10	12	that	that	PRON
ejpam-3330	10	13	has	have	VERB
ejpam-3330	10	14	to	to	PART
ejpam-3330	10	15	be	be	AUX
ejpam-3330	10	16	selected	select	VERB
ejpam-3330	10	17	to	to	PART
ejpam-3330	10	18	find	find	VERB
ejpam-3330	10	19	the	the	DET
ejpam-3330	10	20	solution	solution	NOUN
ejpam-3330	10	21	of	of	ADP
ejpam-3330	10	22	the	the	DET
ejpam-3330	10	23	equation	equation	NOUN
ejpam-3330	10	24	.	.	PUNCT
ejpam-3330	11	1	the	the	DET
ejpam-3330	11	2	classical	classical	ADJ
ejpam-3330	11	3	methods	method	NOUN
ejpam-3330	11	4	such	such	ADJ
ejpam-3330	11	5	as	as	ADP
ejpam-3330	11	6	the	the	DET
ejpam-3330	11	7	separation	separation	NOUN
ejpam-3330	11	8	of	of	ADP
ejpam-3330	11	9	variables	variable	NOUN
ejpam-3330	11	10	solves	solve	VERB
ejpam-3330	11	11	only	only	ADV
ejpam-3330	11	12	separable	separable	ADJ
ejpam-3330	11	13	differential	differential	ADJ
ejpam-3330	11	14	equations	equation	NOUN
ejpam-3330	11	15	.	.	PUNCT
ejpam-3330	12	1	in	in	ADP
ejpam-3330	12	2	similar	similar	ADJ
ejpam-3330	12	3	vein	vein	NOUN
ejpam-3330	12	4	,	,	PUNCT
ejpam-3330	12	5	the	the	DET
ejpam-3330	12	6	use	use	NOUN
ejpam-3330	12	7	of	of	ADP
ejpam-3330	12	8	integrating	integrate	VERB
ejpam-3330	12	9	factor	factor	NOUN
ejpam-3330	12	10	method	method	NOUN
ejpam-3330	12	11	solves	solve	VERB
ejpam-3330	12	12	a	a	DET
ejpam-3330	12	13	linear	linear	ADJ
ejpam-3330	12	14	differential	differential	ADJ
ejpam-3330	12	15	equation	equation	NOUN
ejpam-3330	12	16	in	in	ADP
ejpam-3330	12	17	an	an	DET
ejpam-3330	12	18	appropriate	appropriate	ADJ
ejpam-3330	12	19	functional	functional	ADJ
ejpam-3330	12	20	space	space	NOUN
ejpam-3330	12	21	.	.	PUNCT
ejpam-3330	13	1	in	in	ADP
ejpam-3330	13	2	addition	addition	NOUN
ejpam-3330	13	3	,	,	PUNCT
ejpam-3330	13	4	the	the	DET
ejpam-3330	13	5	differential	differential	ADJ
ejpam-3330	13	6	equation	equation	NOUN
ejpam-3330	13	7	has	have	VERB
ejpam-3330	13	8	to	to	PART
ejpam-3330	13	9	be	be	AUX
ejpam-3330	13	10	written	write	VERB
ejpam-3330	13	11	in	in	ADP
ejpam-3330	13	12	the	the	DET
ejpam-3330	13	13	standard	standard	ADJ
ejpam-3330	13	14	form	form	NOUN
ejpam-3330	13	15	before	before	ADP
ejpam-3330	13	16	searching	search	VERB
ejpam-3330	13	17	for	for	ADP
ejpam-3330	13	18	an	an	DET
ejpam-3330	13	19	appropriate	appropriate	ADJ
ejpam-3330	13	20	integrating	integrating	NOUN
ejpam-3330	13	21	factor	factor	NOUN
ejpam-3330	13	22	which	which	PRON
ejpam-3330	13	23	transforms	transform	VERB
ejpam-3330	13	24	the	the	DET
ejpam-3330	13	25	differential	differential	ADJ
ejpam-3330	13	26	equation	equation	NOUN
ejpam-3330	13	27	into	into	ADP
ejpam-3330	13	28	a	a	DET
ejpam-3330	13	29	separable	separable	ADJ
ejpam-3330	13	30	form	form	NOUN
ejpam-3330	13	31	,	,	PUNCT
ejpam-3330	13	32	from	from	ADP
ejpam-3330	13	33	which	which	PRON
ejpam-3330	13	34	the	the	DET
ejpam-3330	13	35	solution	solution	NOUN
ejpam-3330	13	36	is	be	AUX
ejpam-3330	13	37	obtained	obtain	VERB
ejpam-3330	13	38	.	.	PUNCT
ejpam-3330	14	1	this	this	DET
ejpam-3330	14	2	tedious	tedious	ADJ
ejpam-3330	14	3	and	and	CCONJ
ejpam-3330	14	4	cumbersome	cumbersome	ADJ
ejpam-3330	14	5	method	method	NOUN
ejpam-3330	14	6	of	of	ADP
ejpam-3330	14	7	searching	search	VERB
ejpam-3330	14	8	for	for	ADP
ejpam-3330	14	9	a	a	DET
ejpam-3330	14	10	solution	solution	NOUN
ejpam-3330	14	11	of	of	ADP
ejpam-3330	14	12	a	a	DET
ejpam-3330	14	13	differential	differential	ADJ
ejpam-3330	14	14	equation	equation	NOUN
ejpam-3330	14	15	is	be	AUX
ejpam-3330	14	16	heartbreaking	heartbreaking	ADJ
ejpam-3330	14	17	and	and	CCONJ
ejpam-3330	14	18	undesirable	undesirable	ADJ
ejpam-3330	14	19	.	.	PUNCT
ejpam-3330	15	1	∗corresponding	∗corresponde	VERB
ejpam-3330	15	2	author	author	NOUN
ejpam-3330	15	3	.	.	PUNCT
ejpam-3330	16	1	doi	doi	NOUN
ejpam-3330	16	2	:	:	PUNCT
ejpam-3330	16	3	https://doi.org/10.29020/nybg.ejpam.v11i4.3330	https://doi.org/10.29020/nybg.ejpam.v11i4.3330	PROPN
ejpam-3330	16	4	email	email	NOUN
ejpam-3330	16	5	addresses	address	NOUN
ejpam-3330	16	6	:	:	PUNCT
ejpam-3330	17	1	ewiekwamina@gmail.com	ewiekwamina@gmail.com	X
ejpam-3330	17	2	bbarnes.cos@knust.edu.gh	bbarnes.cos@knust.edu.gh	PROPN
ejpam-3330	17	3	(	(	PUNCT
ejpam-3330	17	4	b.	b.	PROPN
ejpam-3330	17	5	barnes	barnes	PROPN
ejpam-3330	17	6	)	)	PUNCT
ejpam-3330	17	7	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3330	17	8	1130	1130	NUM
ejpam-3330	17	9	c	c	NOUN
ejpam-3330	17	10	©	©	PROPN
ejpam-3330	17	11	2018	2018	NUM
ejpam-3330	17	12	ejpam	ejpam	VERB
ejpam-3330	17	13	all	all	DET
ejpam-3330	17	14	rights	right	NOUN
ejpam-3330	17	15	reserved	reserve	VERB
ejpam-3330	17	16	.	.	PUNCT
ejpam-3330	18	1	b.	b.	PROPN
ejpam-3330	18	2	barnes	barnes	PROPN
ejpam-3330	18	3	,	,	PUNCT
ejpam-3330	18	4	c.	c.	PROPN
ejpam-3330	18	5	sebil	sebil	PROPN
ejpam-3330	18	6	,	,	PUNCT
ejpam-3330	18	7	a.	a.	NOUN
ejpam-3330	18	8	quaye	quaye	PROPN
ejpam-3330	18	9	/	/	SYM
ejpam-3330	18	10	eur	eur	PROPN
ejpam-3330	18	11	.	.	PUNCT
ejpam-3330	19	1	j.	j.	PROPN
ejpam-3330	19	2	pure	pure	PROPN
ejpam-3330	19	3	appl	appl	PROPN
ejpam-3330	19	4	.	.	PROPN
ejpam-3330	19	5	math	math	PROPN
ejpam-3330	19	6	,	,	PUNCT
ejpam-3330	19	7	11	11	NUM
ejpam-3330	19	8	(	(	PUNCT
ejpam-3330	19	9	4	4	NUM
ejpam-3330	19	10	)	)	PUNCT
ejpam-3330	19	11	(	(	PUNCT
ejpam-3330	19	12	2018	2018	NUM
ejpam-3330	19	13	)	)	PUNCT
ejpam-3330	19	14	,	,	PUNCT
ejpam-3330	19	15	1130	1130	NUM
ejpam-3330	19	16	-	-	SYM
ejpam-3330	19	17	1142	1142	NUM
ejpam-3330	19	18	1131	1131	NUM
ejpam-3330	19	19	in	in	ADP
ejpam-3330	19	20	order	order	NOUN
ejpam-3330	19	21	to	to	PART
ejpam-3330	19	22	overcome	overcome	VERB
ejpam-3330	19	23	the	the	DET
ejpam-3330	19	24	shortcomings	shortcoming	NOUN
ejpam-3330	19	25	of	of	ADP
ejpam-3330	19	26	the	the	DET
ejpam-3330	19	27	classical	classical	ADJ
ejpam-3330	19	28	methods	method	NOUN
ejpam-3330	19	29	for	for	ADP
ejpam-3330	19	30	solving	solve	VERB
ejpam-3330	19	31	differential	differential	ADJ
ejpam-3330	19	32	equations	equation	NOUN
ejpam-3330	19	33	laplace	laplace	NOUN
ejpam-3330	19	34	transform	transform	NOUN
ejpam-3330	19	35	was	be	AUX
ejpam-3330	19	36	introduced	introduce	VERB
ejpam-3330	19	37	which	which	PRON
ejpam-3330	19	38	converts	convert	VERB
ejpam-3330	19	39	the	the	DET
ejpam-3330	19	40	differential	differential	ADJ
ejpam-3330	19	41	equation	equation	NOUN
ejpam-3330	19	42	into	into	ADP
ejpam-3330	19	43	an	an	DET
ejpam-3330	19	44	algebraic	algebraic	ADJ
ejpam-3330	19	45	equation	equation	NOUN
ejpam-3330	19	46	,	,	PUNCT
ejpam-3330	19	47	which	which	PRON
ejpam-3330	19	48	is	be	AUX
ejpam-3330	19	49	then	then	ADV
ejpam-3330	19	50	transformed	transform	VERB
ejpam-3330	19	51	the	the	DET
ejpam-3330	19	52	result	result	NOUN
ejpam-3330	19	53	back	back	ADV
ejpam-3330	19	54	by	by	ADP
ejpam-3330	19	55	means	mean	NOUN
ejpam-3330	19	56	of	of	ADP
ejpam-3330	19	57	its	its	PRON
ejpam-3330	19	58	inverse	inverse	NOUN
ejpam-3330	19	59	operator	operator	NOUN
ejpam-3330	19	60	to	to	PART
ejpam-3330	19	61	obtain	obtain	VERB
ejpam-3330	19	62	the	the	DET
ejpam-3330	19	63	desired	desire	VERB
ejpam-3330	19	64	solution	solution	NOUN
ejpam-3330	19	65	in	in	ADP
ejpam-3330	19	66	a	a	DET
ejpam-3330	19	67	suitable	suitable	ADJ
ejpam-3330	19	68	functional	functional	ADJ
ejpam-3330	19	69	space	space	NOUN
ejpam-3330	19	70	,	,	PUNCT
ejpam-3330	19	71	for	for	ADP
ejpam-3330	19	72	example	example	NOUN
ejpam-3330	19	73	,	,	PUNCT
ejpam-3330	19	74	see	see	VERB
ejpam-3330	19	75	[	[	X
ejpam-3330	19	76	1	1	NUM
ejpam-3330	19	77	]	]	PUNCT
ejpam-3330	19	78	.	.	PUNCT
ejpam-3330	20	1	the	the	DET
ejpam-3330	20	2	authors	author	NOUN
ejpam-3330	20	3	in	in	ADP
ejpam-3330	20	4	[	[	X
ejpam-3330	20	5	2	2	NUM
ejpam-3330	20	6	]	]	PUNCT
ejpam-3330	20	7	extended	extend	VERB
ejpam-3330	20	8	the	the	DET
ejpam-3330	20	9	laplace	laplace	NOUN
ejpam-3330	20	10	transform	transform	NOUN
ejpam-3330	20	11	to	to	ADP
ejpam-3330	20	12	double	double	ADJ
ejpam-3330	20	13	laplace	laplace	NOUN
ejpam-3330	20	14	transform	transform	NOUN
ejpam-3330	20	15	.	.	PUNCT
ejpam-3330	21	1	in	in	ADP
ejpam-3330	21	2	[	[	X
ejpam-3330	21	3	3	3	NUM
ejpam-3330	21	4	]	]	PUNCT
ejpam-3330	21	5	,	,	PUNCT
ejpam-3330	21	6	the	the	DET
ejpam-3330	21	7	author	author	NOUN
ejpam-3330	21	8	established	establish	VERB
ejpam-3330	21	9	the	the	DET
ejpam-3330	21	10	convolution	convolution	NOUN
ejpam-3330	21	11	property	property	NOUN
ejpam-3330	21	12	of	of	ADP
ejpam-3330	21	13	the	the	DET
ejpam-3330	21	14	double	double	ADJ
ejpam-3330	21	15	laplace	laplace	NOUN
ejpam-3330	21	16	transform	transform	NOUN
ejpam-3330	21	17	and	and	CCONJ
ejpam-3330	21	18	applied	apply	VERB
ejpam-3330	21	19	this	this	DET
ejpam-3330	21	20	property	property	NOUN
ejpam-3330	21	21	to	to	PART
ejpam-3330	21	22	solve	solve	VERB
ejpam-3330	21	23	the	the	DET
ejpam-3330	21	24	homogeneous	homogeneous	ADJ
ejpam-3330	21	25	linear	linear	ADJ
ejpam-3330	21	26	partial	partial	ADJ
ejpam-3330	21	27	differential	differential	NOUN
ejpam-3330	21	28	equations	equation	NOUN
ejpam-3330	21	29	.	.	PUNCT
ejpam-3330	22	1	the	the	DET
ejpam-3330	22	2	authors	author	NOUN
ejpam-3330	22	3	in	in	ADP
ejpam-3330	22	4	[	[	X
ejpam-3330	22	5	4	4	NUM
ejpam-3330	22	6	]	]	PUNCT
ejpam-3330	22	7	applied	apply	VERB
ejpam-3330	22	8	the	the	DET
ejpam-3330	22	9	double	double	ADJ
ejpam-3330	22	10	laplace	laplace	NOUN
ejpam-3330	22	11	transform	transform	NOUN
ejpam-3330	22	12	to	to	PART
ejpam-3330	22	13	solve	solve	VERB
ejpam-3330	22	14	nonhomogeneous	nonhomogeneous	ADJ
ejpam-3330	22	15	linear	linear	ADJ
ejpam-3330	22	16	partial	partial	ADJ
ejpam-3330	22	17	differential	differential	NOUN
ejpam-3330	22	18	equations	equation	NOUN
ejpam-3330	22	19	.	.	PUNCT
ejpam-3330	23	1	currently	currently	ADV
ejpam-3330	23	2	,	,	PUNCT
ejpam-3330	23	3	integral	integral	ADJ
ejpam-3330	23	4	transform	transform	NOUN
ejpam-3330	23	5	method	method	NOUN
ejpam-3330	23	6	has	have	AUX
ejpam-3330	23	7	become	become	VERB
ejpam-3330	23	8	reliable	reliable	ADJ
ejpam-3330	23	9	method	method	NOUN
ejpam-3330	23	10	for	for	ADP
ejpam-3330	23	11	solving	solve	VERB
ejpam-3330	23	12	differential	differential	ADJ
ejpam-3330	23	13	equations	equation	NOUN
ejpam-3330	23	14	,	,	PUNCT
ejpam-3330	23	15	integral	integral	ADJ
ejpam-3330	23	16	equations	equation	NOUN
ejpam-3330	23	17	and	and	CCONJ
ejpam-3330	23	18	integro	integro	ADJ
ejpam-3330	23	19	-	-	PUNCT
ejpam-3330	23	20	differential	differential	NOUN
ejpam-3330	23	21	equations	equation	NOUN
ejpam-3330	23	22	.	.	PUNCT
ejpam-3330	24	1	sumudu	sumudu	NOUN
ejpam-3330	24	2	transform	transform	NOUN
ejpam-3330	24	3	was	be	AUX
ejpam-3330	24	4	observed	observe	VERB
ejpam-3330	24	5	by	by	ADP
ejpam-3330	24	6	[	[	X
ejpam-3330	24	7	5	5	NUM
ejpam-3330	24	8	]	]	PUNCT
ejpam-3330	24	9	.	.	PUNCT
ejpam-3330	25	1	the	the	DET
ejpam-3330	25	2	authors	author	NOUN
ejpam-3330	25	3	in	in	ADP
ejpam-3330	25	4	[	[	X
ejpam-3330	25	5	6	6	NUM
ejpam-3330	25	6	]	]	PUNCT
ejpam-3330	25	7	,	,	PUNCT
ejpam-3330	25	8	also	also	ADV
ejpam-3330	25	9	introduced	introduce	VERB
ejpam-3330	25	10	natural	natural	ADJ
ejpam-3330	25	11	transform	transform	NOUN
ejpam-3330	25	12	for	for	ADP
ejpam-3330	25	13	solving	solve	VERB
ejpam-3330	25	14	differential	differential	ADJ
ejpam-3330	25	15	equations	equation	NOUN
ejpam-3330	25	16	.	.	PUNCT
ejpam-3330	26	1	in	in	ADP
ejpam-3330	26	2	[	[	X
ejpam-3330	26	3	7	7	NUM
ejpam-3330	26	4	]	]	PUNCT
ejpam-3330	26	5	,	,	PUNCT
ejpam-3330	26	6	the	the	DET
ejpam-3330	26	7	authors	author	NOUN
ejpam-3330	26	8	extended	extend	VERB
ejpam-3330	26	9	the	the	DET
ejpam-3330	26	10	natural	natural	ADJ
ejpam-3330	26	11	transform	transform	NOUN
ejpam-3330	26	12	from	from	ADP
ejpam-3330	26	13	one	one	NUM
ejpam-3330	26	14	dimension	dimension	NOUN
ejpam-3330	26	15	to	to	ADP
ejpam-3330	26	16	two	two	NUM
ejpam-3330	26	17	dimensions	dimension	NOUN
ejpam-3330	26	18	and	and	CCONJ
ejpam-3330	26	19	also	also	ADV
ejpam-3330	26	20	,	,	PUNCT
ejpam-3330	26	21	compared	compare	VERB
ejpam-3330	26	22	the	the	DET
ejpam-3330	26	23	double	double	ADJ
ejpam-3330	26	24	transform	transform	NOUN
ejpam-3330	26	25	with	with	ADP
ejpam-3330	26	26	laplace	laplace	NOUN
ejpam-3330	26	27	and	and	CCONJ
ejpam-3330	26	28	sumudu	sumudu	NOUN
ejpam-3330	26	29	transforms	transform	VERB
ejpam-3330	26	30	.	.	PUNCT
ejpam-3330	27	1	the	the	DET
ejpam-3330	27	2	author	author	NOUN
ejpam-3330	27	3	in	in	ADP
ejpam-3330	27	4	[	[	X
ejpam-3330	27	5	8	8	NUM
ejpam-3330	27	6	]	]	PUNCT
ejpam-3330	27	7	introduced	introduce	VERB
ejpam-3330	27	8	a	a	DET
ejpam-3330	27	9	polynomial	polynomial	ADJ
ejpam-3330	27	10	integral	integral	ADJ
ejpam-3330	27	11	transform	transform	NOUN
ejpam-3330	27	12	pit	pit	NOUN
ejpam-3330	27	13	.	.	PUNCT
ejpam-3330	28	1	in	in	ADP
ejpam-3330	28	2	his	his	PRON
ejpam-3330	28	3	work	work	NOUN
ejpam-3330	28	4	,	,	PUNCT
ejpam-3330	28	5	the	the	DET
ejpam-3330	28	6	properties	property	NOUN
ejpam-3330	28	7	of	of	ADP
ejpam-3330	28	8	the	the	DET
ejpam-3330	28	9	pit	pit	NOUN
ejpam-3330	28	10	were	be	AUX
ejpam-3330	28	11	established	establish	VERB
ejpam-3330	28	12	and	and	CCONJ
ejpam-3330	28	13	applied	apply	VERB
ejpam-3330	28	14	these	these	DET
ejpam-3330	28	15	properties	property	NOUN
ejpam-3330	28	16	for	for	ADP
ejpam-3330	28	17	solving	solve	VERB
ejpam-3330	28	18	both	both	CCONJ
ejpam-3330	28	19	the	the	DET
ejpam-3330	28	20	linear	linear	ADJ
ejpam-3330	28	21	ordinary	ordinary	ADJ
ejpam-3330	28	22	differential	differential	ADJ
ejpam-3330	28	23	equations	equation	NOUN
ejpam-3330	28	24	and	and	CCONJ
ejpam-3330	28	25	linear	linear	VERB
ejpam-3330	28	26	partial	partial	ADJ
ejpam-3330	28	27	differential	differential	NOUN
ejpam-3330	28	28	equations	equation	NOUN
ejpam-3330	28	29	.	.	PUNCT
ejpam-3330	29	1	in	in	ADP
ejpam-3330	29	2	[	[	X
ejpam-3330	29	3	9	9	NUM
ejpam-3330	29	4	]	]	PUNCT
ejpam-3330	29	5	,	,	PUNCT
ejpam-3330	29	6	the	the	DET
ejpam-3330	29	7	authors	author	NOUN
ejpam-3330	29	8	established	establish	VERB
ejpam-3330	29	9	the	the	DET
ejpam-3330	29	10	relationships	relationship	NOUN
ejpam-3330	29	11	of	of	ADP
ejpam-3330	29	12	the	the	DET
ejpam-3330	29	13	pit	pit	NOUN
ejpam-3330	29	14	among	among	ADP
ejpam-3330	29	15	some	some	DET
ejpam-3330	29	16	integral	integral	ADJ
ejpam-3330	29	17	transforms	transform	NOUN
ejpam-3330	29	18	by	by	ADP
ejpam-3330	29	19	equating	equate	VERB
ejpam-3330	29	20	the	the	DET
ejpam-3330	29	21	domain	domain	NOUN
ejpam-3330	29	22	element	element	NOUN
ejpam-3330	29	23	that	that	PRON
ejpam-3330	29	24	appears	appear	VERB
ejpam-3330	29	25	in	in	ADP
ejpam-3330	29	26	the	the	DET
ejpam-3330	29	27	function	function	NOUN
ejpam-3330	29	28	f(t	f(t	PROPN
ejpam-3330	29	29	)	)	PUNCT
ejpam-3330	29	30	in	in	ADP
ejpam-3330	29	31	pit	pit	NOUN
ejpam-3330	29	32	with	with	ADP
ejpam-3330	29	33	other	other	ADJ
ejpam-3330	29	34	domain	domain	NOUN
ejpam-3330	29	35	elements	element	NOUN
ejpam-3330	29	36	in	in	ADP
ejpam-3330	29	37	f(t	f(t	PROPN
ejpam-3330	29	38	)	)	PUNCT
ejpam-3330	29	39	of	of	ADP
ejpam-3330	29	40	other	other	ADJ
ejpam-3330	29	41	integral	integral	ADJ
ejpam-3330	29	42	transforms	transform	NOUN
ejpam-3330	29	43	.	.	PUNCT
ejpam-3330	30	1	it	it	PRON
ejpam-3330	30	2	is	be	AUX
ejpam-3330	30	3	not	not	PART
ejpam-3330	30	4	enough	enough	ADJ
ejpam-3330	30	5	to	to	PART
ejpam-3330	30	6	introduce	introduce	VERB
ejpam-3330	30	7	integral	integral	ADJ
ejpam-3330	30	8	transform	transform	NOUN
ejpam-3330	30	9	for	for	ADP
ejpam-3330	30	10	solving	solve	VERB
ejpam-3330	30	11	differential	differential	ADJ
ejpam-3330	30	12	equations	equation	NOUN
ejpam-3330	30	13	without	without	ADP
ejpam-3330	30	14	establishing	establish	VERB
ejpam-3330	30	15	its	its	PRON
ejpam-3330	30	16	relationships	relationship	NOUN
ejpam-3330	30	17	with	with	ADP
ejpam-3330	30	18	other	other	ADJ
ejpam-3330	30	19	integral	integral	ADJ
ejpam-3330	30	20	transforms	transform	NOUN
ejpam-3330	30	21	.	.	PUNCT
ejpam-3330	31	1	by	by	ADP
ejpam-3330	31	2	and	and	CCONJ
ejpam-3330	31	3	large	large	ADJ
ejpam-3330	31	4	,	,	PUNCT
ejpam-3330	31	5	the	the	DET
ejpam-3330	31	6	integral	integral	ADJ
ejpam-3330	31	7	transformation	transformation	NOUN
ejpam-3330	31	8	of	of	ADP
ejpam-3330	31	9	the	the	DET
ejpam-3330	31	10	operator	operator	NOUN
ejpam-3330	31	11	of	of	ADP
ejpam-3330	31	12	an	an	DET
ejpam-3330	31	13	unknown	unknown	ADJ
ejpam-3330	31	14	function	function	NOUN
ejpam-3330	31	15	into	into	ADP
ejpam-3330	31	16	an	an	DET
ejpam-3330	31	17	algebraic	algebraic	ADJ
ejpam-3330	31	18	equation	equation	NOUN
ejpam-3330	31	19	in	in	ADP
ejpam-3330	31	20	the	the	DET
ejpam-3330	31	21	same	same	ADJ
ejpam-3330	31	22	functional	functional	ADJ
ejpam-3330	31	23	space	space	NOUN
ejpam-3330	31	24	is	be	AUX
ejpam-3330	31	25	paramount	paramount	ADJ
ejpam-3330	31	26	and	and	CCONJ
ejpam-3330	31	27	inevitably	inevitably	ADV
ejpam-3330	31	28	,	,	PUNCT
ejpam-3330	31	29	the	the	DET
ejpam-3330	31	30	generalization	generalization	NOUN
ejpam-3330	31	31	of	of	ADP
ejpam-3330	31	32	integral	integral	ADJ
ejpam-3330	31	33	transform	transform	NOUN
ejpam-3330	31	34	(	(	PUNCT
ejpam-3330	31	35	git	git	NOUN
ejpam-3330	31	36	)	)	PUNCT
ejpam-3330	31	37	is	be	AUX
ejpam-3330	31	38	introduced	introduce	VERB
ejpam-3330	31	39	in	in	ADP
ejpam-3330	31	40	this	this	DET
ejpam-3330	31	41	paper	paper	NOUN
ejpam-3330	31	42	.	.	PUNCT
ejpam-3330	32	1	this	this	DET
ejpam-3330	32	2	method	method	NOUN
ejpam-3330	32	3	uses	use	VERB
ejpam-3330	32	4	exponential	exponential	ADJ
ejpam-3330	32	5	function	function	NOUN
ejpam-3330	32	6	as	as	ADP
ejpam-3330	32	7	its	its	PRON
ejpam-3330	32	8	kernel	kernel	NOUN
ejpam-3330	32	9	,	,	PUNCT
ejpam-3330	32	10	which	which	PRON
ejpam-3330	32	11	converts	convert	VERB
ejpam-3330	32	12	a	a	DET
ejpam-3330	32	13	linear	linear	ADJ
ejpam-3330	32	14	differential	differential	ADJ
ejpam-3330	32	15	equations	equation	NOUN
ejpam-3330	32	16	to	to	ADP
ejpam-3330	32	17	an	an	DET
ejpam-3330	32	18	algebraic	algebraic	ADJ
ejpam-3330	32	19	equation	equation	NOUN
ejpam-3330	32	20	in	in	ADP
ejpam-3330	32	21	terms	term	NOUN
ejpam-3330	32	22	of	of	ADP
ejpam-3330	32	23	us	we	PRON
ejpam-3330	32	24	and	and	CCONJ
ejpam-3330	32	25	finally	finally	ADV
ejpam-3330	32	26	,	,	PUNCT
ejpam-3330	32	27	transforms	transform	VERB
ejpam-3330	32	28	the	the	DET
ejpam-3330	32	29	resulting	result	VERB
ejpam-3330	32	30	algebraic	algebraic	ADJ
ejpam-3330	32	31	equation	equation	NOUN
ejpam-3330	32	32	by	by	ADP
ejpam-3330	32	33	means	mean	NOUN
ejpam-3330	32	34	of	of	ADP
ejpam-3330	32	35	its	its	PRON
ejpam-3330	32	36	inverse	inverse	NOUN
ejpam-3330	32	37	operator	operator	NOUN
ejpam-3330	32	38	to	to	PART
ejpam-3330	32	39	obtain	obtain	VERB
ejpam-3330	32	40	the	the	DET
ejpam-3330	32	41	solution	solution	NOUN
ejpam-3330	32	42	of	of	ADP
ejpam-3330	32	43	the	the	DET
ejpam-3330	32	44	differential	differential	ADJ
ejpam-3330	32	45	equation	equation	NOUN
ejpam-3330	32	46	.	.	PUNCT
ejpam-3330	33	1	this	this	DET
ejpam-3330	33	2	paper	paper	NOUN
ejpam-3330	33	3	is	be	AUX
ejpam-3330	33	4	organized	organize	VERB
ejpam-3330	33	5	as	as	SCONJ
ejpam-3330	33	6	follows	follow	VERB
ejpam-3330	33	7	.	.	PUNCT
ejpam-3330	34	1	the	the	DET
ejpam-3330	34	2	section	section	NOUN
ejpam-3330	34	3	one	one	NOUN
ejpam-3330	34	4	contains	contain	VERB
ejpam-3330	34	5	the	the	DET
ejpam-3330	34	6	introduction	introduction	NOUN
ejpam-3330	34	7	;	;	PUNCT
ejpam-3330	34	8	the	the	DET
ejpam-3330	34	9	git	git	NOUN
ejpam-3330	34	10	,	,	PUNCT
ejpam-3330	34	11	its	its	PRON
ejpam-3330	34	12	properties	property	NOUN
ejpam-3330	34	13	and	and	CCONJ
ejpam-3330	34	14	applications	application	NOUN
ejpam-3330	34	15	are	be	AUX
ejpam-3330	34	16	captured	capture	VERB
ejpam-3330	34	17	in	in	ADP
ejpam-3330	34	18	section	section	NOUN
ejpam-3330	34	19	two	two	NUM
ejpam-3330	34	20	and	and	CCONJ
ejpam-3330	34	21	the	the	DET
ejpam-3330	34	22	last	last	ADJ
ejpam-3330	34	23	section	section	NOUN
ejpam-3330	34	24	of	of	ADP
ejpam-3330	34	25	this	this	DET
ejpam-3330	34	26	paper	paper	NOUN
ejpam-3330	34	27	contains	contain	VERB
ejpam-3330	34	28	the	the	DET
ejpam-3330	34	29	conclusion	conclusion	NOUN
ejpam-3330	34	30	.	.	PUNCT
ejpam-3330	35	1	2	2	X
ejpam-3330	35	2	.	.	X
ejpam-3330	35	3	main	main	ADJ
ejpam-3330	35	4	results	result	NOUN
ejpam-3330	35	5	in	in	ADP
ejpam-3330	35	6	this	this	DET
ejpam-3330	35	7	section	section	NOUN
ejpam-3330	35	8	,	,	PUNCT
ejpam-3330	35	9	the	the	DET
ejpam-3330	35	10	generalization	generalization	NOUN
ejpam-3330	35	11	of	of	ADP
ejpam-3330	35	12	integral	integral	ADJ
ejpam-3330	35	13	transform	transform	NOUN
ejpam-3330	35	14	is	be	AUX
ejpam-3330	35	15	introduced	introduce	VERB
ejpam-3330	35	16	.	.	PUNCT
ejpam-3330	36	1	we	we	PRON
ejpam-3330	36	2	definitions	definition	VERB
ejpam-3330	36	3	of	of	ADP
ejpam-3330	36	4	some	some	DET
ejpam-3330	36	5	integral	integral	ADJ
ejpam-3330	36	6	transforms	transform	NOUN
ejpam-3330	36	7	that	that	PRON
ejpam-3330	36	8	will	will	AUX
ejpam-3330	36	9	enable	enable	VERB
ejpam-3330	36	10	us	we	PRON
ejpam-3330	36	11	to	to	PART
ejpam-3330	36	12	achieve	achieve	VERB
ejpam-3330	36	13	our	our	PRON
ejpam-3330	36	14	results	result	NOUN
ejpam-3330	36	15	.	.	PUNCT
ejpam-3330	37	1	definition	definition	NOUN
ejpam-3330	37	2	1	1	NUM
ejpam-3330	37	3	(	(	PUNCT
ejpam-3330	37	4	polynomial	polynomial	ADJ
ejpam-3330	37	5	integral	integral	ADJ
ejpam-3330	37	6	transform	transform	NOUN
ejpam-3330	37	7	)	)	PUNCT
ejpam-3330	37	8	.	.	PUNCT
ejpam-3330	38	1	let	let	VERB
ejpam-3330	38	2	f(x	f(x	PROPN
ejpam-3330	38	3	)	)	PUNCT
ejpam-3330	38	4	be	be	AUX
ejpam-3330	38	5	a	a	DET
ejpam-3330	38	6	function	function	NOUN
ejpam-3330	38	7	defined	define	VERB
ejpam-3330	38	8	for	for	ADP
ejpam-3330	38	9	x	x	X
ejpam-3330	38	10	≥	≥	NOUN
ejpam-3330	38	11	0	0	NUM
ejpam-3330	38	12	.	.	PUNCT
ejpam-3330	39	1	then	then	ADV
ejpam-3330	39	2	the	the	DET
ejpam-3330	39	3	integral	integral	ADJ
ejpam-3330	39	4	b(f(x	b(f(x	NOUN
ejpam-3330	39	5	)	)	PUNCT
ejpam-3330	39	6	)	)	PUNCT
ejpam-3330	40	1	=	=	SYM
ejpam-3330	40	2	b(s	b(	NOUN
ejpam-3330	40	3	)	)	PUNCT
ejpam-3330	40	4	=	=	SYM
ejpam-3330	41	1	∫	∫	PROPN
ejpam-3330	41	2	∞	∞	NUM
ejpam-3330	41	3	1	1	NUM
ejpam-3330	41	4	f(lnx)x−(s+1)dx	f(lnx)x−(s+1)dx	PROPN
ejpam-3330	41	5	,	,	PUNCT
ejpam-3330	41	6	(	(	PUNCT
ejpam-3330	41	7	1	1	X
ejpam-3330	41	8	)	)	PUNCT
ejpam-3330	41	9	is	be	AUX
ejpam-3330	41	10	the	the	DET
ejpam-3330	41	11	polynomial	polynomial	ADJ
ejpam-3330	41	12	integral	integral	ADJ
ejpam-3330	41	13	transform	transform	NOUN
ejpam-3330	41	14	of	of	ADP
ejpam-3330	41	15	f(x	f(x	PROPN
ejpam-3330	41	16	)	)	PUNCT
ejpam-3330	41	17	for	for	ADP
ejpam-3330	41	18	all	all	DET
ejpam-3330	41	19	x	x	SYM
ejpam-3330	41	20	∈	∈	PROPN
ejpam-3330	41	21	[	[	X
ejpam-3330	41	22	1,∞	1,∞	NUM
ejpam-3330	41	23	)	)	PUNCT
ejpam-3330	41	24	,	,	PUNCT
ejpam-3330	41	25	see	see	VERB
ejpam-3330	41	26	[	[	X
ejpam-3330	41	27	8	8	NUM
ejpam-3330	41	28	]	]	PUNCT
ejpam-3330	41	29	.	.	PUNCT
ejpam-3330	42	1	b.	b.	PROPN
ejpam-3330	42	2	barnes	barnes	PROPN
ejpam-3330	42	3	,	,	PUNCT
ejpam-3330	42	4	c.	c.	PROPN
ejpam-3330	42	5	sebil	sebil	PROPN
ejpam-3330	42	6	,	,	PUNCT
ejpam-3330	42	7	a.	a.	NOUN
ejpam-3330	42	8	quaye	quaye	PROPN
ejpam-3330	42	9	/	/	SYM
ejpam-3330	42	10	eur	eur	PROPN
ejpam-3330	42	11	.	.	PUNCT
ejpam-3330	43	1	j.	j.	PROPN
ejpam-3330	43	2	pure	pure	PROPN
ejpam-3330	43	3	appl	appl	PROPN
ejpam-3330	43	4	.	.	PROPN
ejpam-3330	43	5	math	math	PROPN
ejpam-3330	43	6	,	,	PUNCT
ejpam-3330	43	7	11	11	NUM
ejpam-3330	43	8	(	(	PUNCT
ejpam-3330	43	9	4	4	NUM
ejpam-3330	43	10	)	)	PUNCT
ejpam-3330	43	11	(	(	PUNCT
ejpam-3330	43	12	2018	2018	NUM
ejpam-3330	43	13	)	)	PUNCT
ejpam-3330	43	14	,	,	PUNCT
ejpam-3330	43	15	1130	1130	NUM
ejpam-3330	43	16	-	-	SYM
ejpam-3330	43	17	1142	1142	NUM
ejpam-3330	43	18	1132	1132	NUM
ejpam-3330	43	19	definition	definition	NOUN
ejpam-3330	43	20	2	2	NUM
ejpam-3330	43	21	(	(	PUNCT
ejpam-3330	43	22	natural	natural	ADJ
ejpam-3330	43	23	transform	transform	NOUN
ejpam-3330	43	24	)	)	PUNCT
ejpam-3330	43	25	.	.	PUNCT
ejpam-3330	44	1	let	let	VERB
ejpam-3330	44	2	f(t	f(t	NOUN
ejpam-3330	44	3	)	)	PUNCT
ejpam-3330	44	4	be	be	VERB
ejpam-3330	44	5	a	a	DET
ejpam-3330	44	6	function	function	NOUN
ejpam-3330	44	7	defined	define	VERB
ejpam-3330	44	8	for	for	ADP
ejpam-3330	44	9	t	t	PROPN
ejpam-3330	44	10	≥	≥	NUM
ejpam-3330	44	11	1	1	NUM
ejpam-3330	44	12	.	.	PUNCT
ejpam-3330	45	1	then	then	ADV
ejpam-3330	45	2	the	the	DET
ejpam-3330	45	3	integral	integral	ADJ
ejpam-3330	45	4	n{f(t	n{f(t	NUM
ejpam-3330	45	5	)	)	PUNCT
ejpam-3330	45	6	}	}	PUNCT
ejpam-3330	45	7	=	=	SYM
ejpam-3330	46	1	∫	∫	PROPN
ejpam-3330	46	2	∞	∞	PROPN
ejpam-3330	46	3	0	0	NUM
ejpam-3330	47	1	f(ut)e−stdt	f(ut)e−stdt	PROPN
ejpam-3330	47	2	,	,	PUNCT
ejpam-3330	47	3	(	(	PUNCT
ejpam-3330	47	4	2	2	X
ejpam-3330	47	5	)	)	PUNCT
ejpam-3330	47	6	is	be	AUX
ejpam-3330	47	7	the	the	DET
ejpam-3330	47	8	natural	natural	ADJ
ejpam-3330	47	9	transform	transform	NOUN
ejpam-3330	47	10	of	of	ADP
ejpam-3330	47	11	f(t	f(t	PROPN
ejpam-3330	47	12	)	)	PUNCT
ejpam-3330	47	13	for	for	ADP
ejpam-3330	47	14	t	t	PROPN
ejpam-3330	47	15	∈	∈	PROPN
ejpam-3330	48	1	[	[	X
ejpam-3330	48	2	0,∞	0,∞	NOUN
ejpam-3330	48	3	)	)	PUNCT
ejpam-3330	48	4	.	.	PUNCT
ejpam-3330	49	1	see	see	VERB
ejpam-3330	49	2	[	[	X
ejpam-3330	49	3	6	6	NUM
ejpam-3330	49	4	]	]	PUNCT
ejpam-3330	49	5	.	.	PUNCT
ejpam-3330	50	1	definition	definition	NOUN
ejpam-3330	50	2	3	3	NUM
ejpam-3330	50	3	(	(	PUNCT
ejpam-3330	50	4	sumudu	sumudu	NOUN
ejpam-3330	50	5	transform	transform	NOUN
ejpam-3330	50	6	)	)	PUNCT
ejpam-3330	50	7	.	.	PUNCT
ejpam-3330	51	1	let	let	VERB
ejpam-3330	51	2	f(t	f(t	NOUN
ejpam-3330	51	3	)	)	PUNCT
ejpam-3330	51	4	be	be	VERB
ejpam-3330	51	5	a	a	DET
ejpam-3330	51	6	function	function	NOUN
ejpam-3330	51	7	defined	define	VERB
ejpam-3330	51	8	for	for	ADP
ejpam-3330	51	9	t	t	PROPN
ejpam-3330	51	10	≥	≥	NOUN
ejpam-3330	51	11	0	0	NUM
ejpam-3330	51	12	.	.	PUNCT
ejpam-3330	52	1	then	then	ADV
ejpam-3330	52	2	the	the	DET
ejpam-3330	52	3	integral	integral	ADJ
ejpam-3330	52	4	s{f(t	s{f(t	NOUN
ejpam-3330	52	5	)	)	PUNCT
ejpam-3330	52	6	}	}	PUNCT
ejpam-3330	52	7	=	=	SYM
ejpam-3330	53	1	∫	∫	PROPN
ejpam-3330	53	2	∞	∞	NUM
ejpam-3330	53	3	0	0	NUM
ejpam-3330	54	1	f(ut)e−tdt	f(ut)e−tdt	PROPN
ejpam-3330	54	2	,	,	PUNCT
ejpam-3330	54	3	(	(	PUNCT
ejpam-3330	54	4	3	3	X
ejpam-3330	54	5	)	)	PUNCT
ejpam-3330	54	6	is	be	AUX
ejpam-3330	54	7	the	the	DET
ejpam-3330	54	8	sumudu	sumudu	NOUN
ejpam-3330	54	9	transform	transform	NOUN
ejpam-3330	54	10	of	of	ADP
ejpam-3330	54	11	f(t	f(t	NOUN
ejpam-3330	54	12	)	)	PUNCT
ejpam-3330	54	13	for	for	ADP
ejpam-3330	54	14	all	all	DET
ejpam-3330	54	15	t	t	NOUN
ejpam-3330	54	16	∈	∈	PROPN
ejpam-3330	55	1	[	[	X
ejpam-3330	55	2	0,∞	0,∞	NOUN
ejpam-3330	55	3	)	)	PUNCT
ejpam-3330	55	4	.	.	PUNCT
ejpam-3330	56	1	see	see	VERB
ejpam-3330	56	2	[	[	X
ejpam-3330	56	3	5	5	NUM
ejpam-3330	56	4	]	]	PUNCT
ejpam-3330	56	5	.	.	PUNCT
ejpam-3330	57	1	definition	definition	NOUN
ejpam-3330	57	2	4	4	NUM
ejpam-3330	57	3	(	(	PUNCT
ejpam-3330	57	4	fourier	fourier	NOUN
ejpam-3330	57	5	transform	transform	NOUN
ejpam-3330	57	6	)	)	PUNCT
ejpam-3330	57	7	.	.	PUNCT
ejpam-3330	58	1	let	let	VERB
ejpam-3330	58	2	f(t	f(t	NOUN
ejpam-3330	58	3	)	)	PUNCT
ejpam-3330	58	4	be	be	VERB
ejpam-3330	58	5	a	a	DET
ejpam-3330	58	6	function	function	NOUN
ejpam-3330	58	7	defined	define	VERB
ejpam-3330	58	8	for	for	ADP
ejpam-3330	58	9	t	t	PROPN
ejpam-3330	58	10	≥	≥	NOUN
ejpam-3330	58	11	0	0	NUM
ejpam-3330	58	12	.	.	PUNCT
ejpam-3330	59	1	then	then	ADV
ejpam-3330	59	2	the	the	DET
ejpam-3330	59	3	integral	integral	ADJ
ejpam-3330	59	4	f{f(t	f{f(t	NOUN
ejpam-3330	59	5	)	)	PUNCT
ejpam-3330	59	6	}	}	PUNCT
ejpam-3330	60	1	=	=	SYM
ejpam-3330	60	2	∫	∫	PROPN
ejpam-3330	61	1	∞	∞	NUM
ejpam-3330	61	2	0	0	NUM
ejpam-3330	62	1	f(t)e−istdt	f(t)e−istdt	PROPN
ejpam-3330	62	2	(	(	PUNCT
ejpam-3330	62	3	4	4	NUM
ejpam-3330	62	4	)	)	PUNCT
ejpam-3330	62	5	is	be	AUX
ejpam-3330	62	6	the	the	DET
ejpam-3330	62	7	fourier	fourier	ADJ
ejpam-3330	62	8	transform	transform	NOUN
ejpam-3330	62	9	of	of	ADP
ejpam-3330	62	10	f(t	f(t	NOUN
ejpam-3330	62	11	)	)	PUNCT
ejpam-3330	62	12	for	for	ADP
ejpam-3330	62	13	all	all	DET
ejpam-3330	62	14	t	t	NOUN
ejpam-3330	62	15	∈	∈	PROPN
ejpam-3330	62	16	c	c	AUX
ejpam-3330	62	17	,	,	PUNCT
ejpam-3330	62	18	see	see	VERB
ejpam-3330	62	19	[	[	X
ejpam-3330	62	20	3	3	NUM
ejpam-3330	62	21	]	]	PUNCT
ejpam-3330	62	22	.	.	PUNCT
ejpam-3330	63	1	2.1	2.1	NUM
ejpam-3330	63	2	.	.	PUNCT
ejpam-3330	64	1	the	the	DET
ejpam-3330	64	2	derivation	derivation	NOUN
ejpam-3330	64	3	of	of	ADP
ejpam-3330	64	4	the	the	DET
ejpam-3330	64	5	generalization	generalization	NOUN
ejpam-3330	64	6	of	of	ADP
ejpam-3330	64	7	integral	integral	ADJ
ejpam-3330	64	8	transform	transform	NOUN
ejpam-3330	64	9	in	in	ADP
ejpam-3330	64	10	this	this	DET
ejpam-3330	64	11	subsection	subsection	NOUN
ejpam-3330	64	12	,	,	PUNCT
ejpam-3330	64	13	the	the	DET
ejpam-3330	64	14	proof	proof	NOUN
ejpam-3330	64	15	of	of	ADP
ejpam-3330	64	16	the	the	DET
ejpam-3330	64	17	git	git	NOUN
ejpam-3330	64	18	is	be	AUX
ejpam-3330	64	19	provided	provide	VERB
ejpam-3330	64	20	in	in	ADP
ejpam-3330	64	21	theorem	theorem	NOUN
ejpam-3330	64	22	1	1	NUM
ejpam-3330	64	23	below	below	ADV
ejpam-3330	64	24	.	.	PUNCT
ejpam-3330	65	1	theorem	theorem	NOUN
ejpam-3330	65	2	1	1	NUM
ejpam-3330	65	3	.	.	PUNCT
ejpam-3330	66	1	let	let	VERB
ejpam-3330	66	2	f(t	f(t	NOUN
ejpam-3330	66	3	)	)	PUNCT
ejpam-3330	66	4	be	be	VERB
ejpam-3330	66	5	a	a	DET
ejpam-3330	66	6	function	function	NOUN
ejpam-3330	66	7	defined	define	VERB
ejpam-3330	66	8	for	for	ADP
ejpam-3330	66	9	t	t	PROPN
ejpam-3330	66	10	≥	≥	NOUN
ejpam-3330	66	11	0	0	NUM
ejpam-3330	66	12	.	.	PUNCT
ejpam-3330	67	1	then	then	ADV
ejpam-3330	67	2	the	the	DET
ejpam-3330	67	3	integral	integral	ADJ
ejpam-3330	67	4	g{f(t	g{f(t	NOUN
ejpam-3330	67	5	)	)	PUNCT
ejpam-3330	67	6	}	}	PUNCT
ejpam-3330	67	7	=	=	SYM
ejpam-3330	67	8	g(s	g(s	NOUN
ejpam-3330	67	9	)	)	PUNCT
ejpam-3330	67	10	=	=	SYM
ejpam-3330	67	11	u	u	NOUN
ejpam-3330	67	12	∫	∫	PROPN
ejpam-3330	67	13	∞	∞	PROPN
ejpam-3330	67	14	0	0	PUNCT
ejpam-3330	68	1	f(ut)e−ustdt	f(ut)e−ustdt	PROPN
ejpam-3330	68	2	,	,	PUNCT
ejpam-3330	68	3	is	be	AUX
ejpam-3330	68	4	the	the	DET
ejpam-3330	68	5	generalized	generalized	ADJ
ejpam-3330	68	6	integral	integral	ADJ
ejpam-3330	68	7	transform	transform	NOUN
ejpam-3330	68	8	of	of	ADP
ejpam-3330	68	9	f(t	f(t	NOUN
ejpam-3330	68	10	)	)	PUNCT
ejpam-3330	68	11	for	for	ADP
ejpam-3330	68	12	all	all	DET
ejpam-3330	68	13	t	t	NOUN
ejpam-3330	68	14	∈	∈	PROPN
ejpam-3330	69	1	[	[	X
ejpam-3330	69	2	0,∞	0,∞	NOUN
ejpam-3330	69	3	)	)	PUNCT
ejpam-3330	69	4	.	.	PUNCT
ejpam-3330	70	1	proof	proof	NOUN
ejpam-3330	70	2	:	:	PUNCT
ejpam-3330	70	3	equating	equate	VERB
ejpam-3330	70	4	the	the	DET
ejpam-3330	70	5	kernels	kernel	NOUN
ejpam-3330	70	6	in	in	ADP
ejpam-3330	70	7	the	the	DET
ejpam-3330	70	8	polynomial	polynomial	ADJ
ejpam-3330	70	9	integral	integral	ADJ
ejpam-3330	70	10	transform	transform	NOUN
ejpam-3330	70	11	and	and	CCONJ
ejpam-3330	70	12	natural	natural	ADJ
ejpam-3330	70	13	transform	transform	NOUN
ejpam-3330	70	14	in	in	ADP
ejpam-3330	70	15	equations	equation	NOUN
ejpam-3330	70	16	(	(	PUNCT
ejpam-3330	70	17	1	1	NUM
ejpam-3330	70	18	)	)	PUNCT
ejpam-3330	70	19	and	and	CCONJ
ejpam-3330	70	20	(	(	PUNCT
ejpam-3330	70	21	2	2	NUM
ejpam-3330	70	22	)	)	PUNCT
ejpam-3330	70	23	,	,	PUNCT
ejpam-3330	70	24	we	we	PRON
ejpam-3330	70	25	obtain	obtain	VERB
ejpam-3330	70	26	x−(s+1	x−(s+1	PUNCT
ejpam-3330	70	27	)	)	PUNCT
ejpam-3330	71	1	=	=	PUNCT
ejpam-3330	71	2	e−st	e−st	VERB
ejpam-3330	71	3	⇒	⇒	NOUN
ejpam-3330	71	4	lnx−(s+1	lnx−(s+1	ADV
ejpam-3330	71	5	)	)	PUNCT
ejpam-3330	71	6	=	=	SYM
ejpam-3330	71	7	ln	ln	ADJ
ejpam-3330	71	8	e−st	e−st	ADJ
ejpam-3330	71	9	⇒	⇒	NOUN
ejpam-3330	71	10	−(s+	−(s+	NOUN
ejpam-3330	71	11	1	1	NUM
ejpam-3330	71	12	)	)	PUNCT
ejpam-3330	71	13	lnx	lnx	PROPN
ejpam-3330	71	14	=	=	SYM
ejpam-3330	71	15	−st	−st	PROPN
ejpam-3330	71	16	⇒	⇒	VERB
ejpam-3330	71	17	x	x	PUNCT
ejpam-3330	72	1	=	=	SYM
ejpam-3330	72	2	e	e	PART
ejpam-3330	72	3	st	st	PROPN
ejpam-3330	72	4	(	(	PUNCT
ejpam-3330	72	5	s+1	s+1	NOUN
ejpam-3330	72	6	)	)	PUNCT
ejpam-3330	72	7	(	(	PUNCT
ejpam-3330	72	8	5	5	X
ejpam-3330	72	9	)	)	PUNCT
ejpam-3330	72	10	⇒	⇒	NOUN
ejpam-3330	72	11	dx	dx	PROPN
ejpam-3330	73	1	=	=	SYM
ejpam-3330	73	2	s	s	PROPN
ejpam-3330	73	3	(	(	PUNCT
ejpam-3330	73	4	s+	s+	NOUN
ejpam-3330	73	5	1	1	X
ejpam-3330	73	6	)	)	PUNCT
ejpam-3330	73	7	e	e	PROPN
ejpam-3330	73	8	st	st	PROPN
ejpam-3330	73	9	(	(	PUNCT
ejpam-3330	73	10	s+1)dt	s+1)dt	NOUN
ejpam-3330	73	11	substituting	substitute	VERB
ejpam-3330	73	12	equation	equation	NOUN
ejpam-3330	73	13	(	(	PUNCT
ejpam-3330	73	14	5	5	NUM
ejpam-3330	73	15	)	)	PUNCT
ejpam-3330	73	16	into	into	ADP
ejpam-3330	73	17	equation	equation	NOUN
ejpam-3330	73	18	(	(	PUNCT
ejpam-3330	73	19	1	1	X
ejpam-3330	73	20	)	)	PUNCT
ejpam-3330	73	21	yields	yield	NOUN
ejpam-3330	73	22	g(f(t	g(f(t	NOUN
ejpam-3330	73	23	)	)	PUNCT
ejpam-3330	73	24	)	)	PUNCT
ejpam-3330	74	1	=	=	SYM
ejpam-3330	74	2	s	s	X
ejpam-3330	74	3	(	(	PUNCT
ejpam-3330	74	4	s+	s+	NOUN
ejpam-3330	74	5	1	1	NUM
ejpam-3330	74	6	)	)	PUNCT
ejpam-3330	74	7	∫	∫	PROPN
ejpam-3330	75	1	∞	∞	PROPN
ejpam-3330	75	2	0	0	NUM
ejpam-3330	76	1	f	f	PROPN
ejpam-3330	76	2	(	(	PUNCT
ejpam-3330	76	3	st	st	PROPN
ejpam-3330	76	4	s+	s+	PROPN
ejpam-3330	76	5	1	1	X
ejpam-3330	76	6	)	)	PUNCT
ejpam-3330	76	7	e	e	X
ejpam-3330	76	8	−	−	PROPN
ejpam-3330	76	9	s2	s2	PROPN
ejpam-3330	76	10	t	t	PROPN
ejpam-3330	76	11	(	(	PUNCT
ejpam-3330	76	12	s+1)dt	s+1)dt	PROPN
ejpam-3330	76	13	⇒	⇒	NOUN
ejpam-3330	76	14	g(f(t	g(f(t	NOUN
ejpam-3330	76	15	)	)	PUNCT
ejpam-3330	76	16	)	)	PUNCT
ejpam-3330	77	1	=	=	PUNCT
ejpam-3330	77	2	u	u	NOUN
ejpam-3330	77	3	∫	∫	PROPN
ejpam-3330	77	4	∞	∞	PROPN
ejpam-3330	77	5	0	0	NUM
ejpam-3330	78	1	f(ut)e−sutdt	f(ut)e−sutdt	ADJ
ejpam-3330	78	2	,	,	PUNCT
ejpam-3330	78	3	(	(	PUNCT
ejpam-3330	78	4	6	6	NUM
ejpam-3330	78	5	)	)	PUNCT
ejpam-3330	78	6	where	where	SCONJ
ejpam-3330	78	7	,	,	PUNCT
ejpam-3330	78	8	u	u	NOUN
ejpam-3330	78	9	=	=	SYM
ejpam-3330	78	10	s	s	X
ejpam-3330	78	11	(	(	PUNCT
ejpam-3330	78	12	s+1	s+1	NOUN
ejpam-3330	78	13	)	)	PUNCT
ejpam-3330	78	14	.	.	PUNCT
ejpam-3330	79	1	b.	b.	PROPN
ejpam-3330	79	2	barnes	barnes	PROPN
ejpam-3330	79	3	,	,	PUNCT
ejpam-3330	79	4	c.	c.	PROPN
ejpam-3330	79	5	sebil	sebil	PROPN
ejpam-3330	79	6	,	,	PUNCT
ejpam-3330	79	7	a.	a.	NOUN
ejpam-3330	79	8	quaye	quaye	PROPN
ejpam-3330	79	9	/	/	SYM
ejpam-3330	79	10	eur	eur	PROPN
ejpam-3330	79	11	.	.	PUNCT
ejpam-3330	80	1	j.	j.	PROPN
ejpam-3330	80	2	pure	pure	PROPN
ejpam-3330	80	3	appl	appl	PROPN
ejpam-3330	80	4	.	.	PROPN
ejpam-3330	80	5	math	math	PROPN
ejpam-3330	80	6	,	,	PUNCT
ejpam-3330	80	7	11	11	NUM
ejpam-3330	80	8	(	(	PUNCT
ejpam-3330	80	9	4	4	NUM
ejpam-3330	80	10	)	)	PUNCT
ejpam-3330	80	11	(	(	PUNCT
ejpam-3330	80	12	2018	2018	NUM
ejpam-3330	80	13	)	)	PUNCT
ejpam-3330	80	14	,	,	PUNCT
ejpam-3330	80	15	1130	1130	NUM
ejpam-3330	80	16	-	-	SYM
ejpam-3330	80	17	1142	1142	NUM
ejpam-3330	80	18	1133	1133	NUM
ejpam-3330	80	19	2.2	2.2	NUM
ejpam-3330	80	20	.	.	PUNCT
ejpam-3330	81	1	the	the	DET
ejpam-3330	81	2	sufficient	sufficient	ADJ
ejpam-3330	81	3	condition	condition	NOUN
ejpam-3330	81	4	for	for	ADP
ejpam-3330	81	5	existence	existence	NOUN
ejpam-3330	81	6	of	of	ADP
ejpam-3330	81	7	a	a	DET
ejpam-3330	81	8	generalization	generalization	NOUN
ejpam-3330	81	9	of	of	ADP
ejpam-3330	81	10	integral	integral	ADJ
ejpam-3330	81	11	transform	transform	NOUN
ejpam-3330	81	12	theorem	theorem	NOUN
ejpam-3330	81	13	2	2	NUM
ejpam-3330	81	14	.	.	PUNCT
ejpam-3330	82	1	let	let	VERB
ejpam-3330	82	2	f(t	f(t	NOUN
ejpam-3330	82	3	)	)	PUNCT
ejpam-3330	83	1	be	be	AUX
ejpam-3330	83	2	a	a	DET
ejpam-3330	83	3	piecewise	piecewise	NOUN
ejpam-3330	83	4	continuous	continuous	ADJ
ejpam-3330	83	5	function	function	NOUN
ejpam-3330	83	6	on	on	ADP
ejpam-3330	83	7	the	the	DET
ejpam-3330	83	8	interval	interval	NOUN
ejpam-3330	83	9	[	[	X
ejpam-3330	83	10	0,∞	0,∞	NOUN
ejpam-3330	83	11	)	)	PUNCT
ejpam-3330	83	12	and	and	CCONJ
ejpam-3330	83	13	of	of	ADP
ejpam-3330	83	14	exponential	exponential	ADJ
ejpam-3330	83	15	order	order	NOUN
ejpam-3330	83	16	k	k	PROPN
ejpam-3330	83	17	for	for	ADP
ejpam-3330	83	18	t	t	PROPN
ejpam-3330	83	19	>	>	X
ejpam-3330	83	20	t	t	PROPN
ejpam-3330	83	21	,	,	PUNCT
ejpam-3330	83	22	then	then	ADV
ejpam-3330	83	23	g{f(t	g{f(t	NOUN
ejpam-3330	83	24	)	)	PUNCT
ejpam-3330	83	25	}	}	PUNCT
ejpam-3330	83	26	exists	exist	VERB
ejpam-3330	83	27	for	for	ADP
ejpam-3330	83	28	s	s	PROPN
ejpam-3330	83	29	>	>	X
ejpam-3330	83	30	k.	k.	PROPN
ejpam-3330	83	31	proof	proof	NOUN
ejpam-3330	83	32	:	:	PUNCT
ejpam-3330	83	33	setting	set	VERB
ejpam-3330	83	34	f(t	f(t	NOUN
ejpam-3330	83	35	)	)	PUNCT
ejpam-3330	83	36	≤m	≤m	NOUN
ejpam-3330	83	37	|ekt|	|ekt|	PROPN
ejpam-3330	83	38	.	.	PUNCT
ejpam-3330	84	1	we	we	PRON
ejpam-3330	84	2	see	see	VERB
ejpam-3330	84	3	that	that	PRON
ejpam-3330	84	4	:	:	PUNCT
ejpam-3330	84	5	g{f(t	g{f(t	NUM
ejpam-3330	84	6	)	)	PUNCT
ejpam-3330	84	7	}	}	PUNCT
ejpam-3330	84	8	≤	≤	NUM
ejpam-3330	84	9	u	u	PROPN
ejpam-3330	84	10	∞∫	∞∫	PROPN
ejpam-3330	84	11	0	0	NUM
ejpam-3330	84	12	e−ustf(ut)dt	e−ustf(ut)dt	PROPN
ejpam-3330	84	13	‖g{f(t)}‖	‖g{f(t)}‖	PROPN
ejpam-3330	84	14	≤	≤	PROPN
ejpam-3330	84	15	∥∥∥∥∥∥u	∥∥∥∥∥∥u	PROPN
ejpam-3330	84	16	∞∫	∞∫	PROPN
ejpam-3330	84	17	0	0	NUM
ejpam-3330	84	18	e−ustf(ut)dt	e−ustf(ut)dt	PROPN
ejpam-3330	84	19	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-3330	85	1	‖g{f(t)}‖	‖g{f(t)}‖	NOUN
ejpam-3330	85	2	≤	≤	ADV
ejpam-3330	85	3	‖u‖	‖u‖	PROPN
ejpam-3330	85	4	∥∥∥∥∥∥	∥∥∥∥∥∥	PUNCT
ejpam-3330	86	1	∞∫	∞∫	PROPN
ejpam-3330	86	2	0	0	NUM
ejpam-3330	87	1	e−ustf(ut)dt	e−ustf(ut)dt	PROPN
ejpam-3330	87	2	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-3330	88	1	‖g{f(t)}‖	‖g{f(t)}‖	NOUN
ejpam-3330	88	2	≤	≤	PROPN
ejpam-3330	89	1	‖u‖	‖u‖	PROPN
ejpam-3330	89	2	∞∫	∞∫	PROPN
ejpam-3330	89	3	0	0	NUM
ejpam-3330	89	4	∣∣e−ustf(ut	∣∣e−ustf(ut	PROPN
ejpam-3330	89	5	)	)	PUNCT
ejpam-3330	89	6	∣∣	∣∣	NUM
ejpam-3330	89	7	dt	dt	NOUN
ejpam-3330	90	1	‖g{f(t)}‖	‖g{f(t)}‖	NOUN
ejpam-3330	90	2	≤	≤	PROPN
ejpam-3330	91	1	‖u‖	‖u‖	PROPN
ejpam-3330	91	2	∞∫	∞∫	PROPN
ejpam-3330	91	3	0	0	NUM
ejpam-3330	92	1	e−ustmekutdt	e−ustmekutdt	PROPN
ejpam-3330	92	2	,	,	PUNCT
ejpam-3330	92	3	∀t	∀t	PROPN
ejpam-3330	92	4	>	>	X
ejpam-3330	92	5	t	t	PROPN
ejpam-3330	92	6	‖g{f(t)}‖	‖g{f(t)}‖	NOUN
ejpam-3330	92	7	≤	≤	NUM
ejpam-3330	92	8	u	u	PROPN
ejpam-3330	93	1	∫	∫	PROPN
ejpam-3330	93	2	t	t	PROPN
ejpam-3330	93	3	0	0	NUM
ejpam-3330	94	1	mekute−ustdt+	mekute−ustdt+	PROPN
ejpam-3330	94	2	u	u	NOUN
ejpam-3330	94	3	∫	∫	PROPN
ejpam-3330	94	4	∞	∞	PROPN
ejpam-3330	94	5	t	t	PROPN
ejpam-3330	94	6	mekute−ustdt	mekute−ustdt	NOUN
ejpam-3330	94	7	=	=	X
ejpam-3330	95	1	um	um	INTJ
ejpam-3330	95	2	∫	∫	PROPN
ejpam-3330	95	3	t	t	PROPN
ejpam-3330	95	4	0	0	X
ejpam-3330	95	5	e−(s−k)utdt+	e−(s−k)utdt+	X
ejpam-3330	95	6	um	um	INTJ
ejpam-3330	95	7	lim	lim	PROPN
ejpam-3330	95	8	m→∞	m→∞	NUM
ejpam-3330	95	9	∫	∫	PROPN
ejpam-3330	95	10	m	m	NOUN
ejpam-3330	95	11	t	t	PROPN
ejpam-3330	95	12	e−(s−k)utdt	e−(s−k)utdt	X
ejpam-3330	96	1	=	=	PUNCT
ejpam-3330	96	2	um	um	INTJ
ejpam-3330	96	3	[	[	PUNCT
ejpam-3330	96	4	−	−	NUM
ejpam-3330	96	5	1	1	NUM
ejpam-3330	96	6	(	(	PUNCT
ejpam-3330	96	7	s−	s−	PROPN
ejpam-3330	96	8	k)u	k)u	PUNCT
ejpam-3330	96	9	e−(s−k)ut	e−(s−k)ut	PROPN
ejpam-3330	96	10	]	]	PUNCT
ejpam-3330	96	11	t	t	NOUN
ejpam-3330	96	12	0	0	PUNCT
ejpam-3330	97	1	+	+	CCONJ
ejpam-3330	97	2	um	um	INTJ
ejpam-3330	97	3	lim	lim	PROPN
ejpam-3330	97	4	m→∞	m→∞	NOUN
ejpam-3330	97	5	[	[	PUNCT
ejpam-3330	97	6	−	−	PROPN
ejpam-3330	97	7	1	1	NUM
ejpam-3330	98	1	(	(	PUNCT
ejpam-3330	98	2	s−	s−	PROPN
ejpam-3330	98	3	k)u	k)u	PUNCT
ejpam-3330	98	4	e−(s−k)ut	e−(s−k)ut	PROPN
ejpam-3330	98	5	]	]	PUNCT
ejpam-3330	98	6	m	m	VERB
ejpam-3330	98	7	t	t	NOUN
ejpam-3330	98	8	‖g{f(t)}‖	‖g{f(t)}‖	NOUN
ejpam-3330	98	9	≤	≤	PROPN
ejpam-3330	98	10	um	um	INTJ
ejpam-3330	98	11	[	[	PUNCT
ejpam-3330	98	12	−	−	NUM
ejpam-3330	98	13	1	1	NUM
ejpam-3330	98	14	(	(	PUNCT
ejpam-3330	99	1	s−	s−	PROPN
ejpam-3330	99	2	k)u	k)u	PUNCT
ejpam-3330	99	3	e−(s−k)ut	e−(s−k)ut	PROPN
ejpam-3330	100	1	+	+	NOUN
ejpam-3330	100	2	1	1	NUM
ejpam-3330	100	3	(	(	PUNCT
ejpam-3330	100	4	s−	s−	PROPN
ejpam-3330	100	5	k)u	k)u	PROPN
ejpam-3330	100	6	e−(s−k)u(0	e−(s−k)u(0	PROPN
ejpam-3330	100	7	)	)	PUNCT
ejpam-3330	100	8	]	]	PUNCT
ejpam-3330	101	1	+	+	CCONJ
ejpam-3330	101	2	um	um	INTJ
ejpam-3330	101	3	lim	lim	PROPN
ejpam-3330	101	4	m→∞	m→∞	NOUN
ejpam-3330	101	5	[	[	PUNCT
ejpam-3330	101	6	−	−	PROPN
ejpam-3330	101	7	1	1	NUM
ejpam-3330	101	8	(	(	PUNCT
ejpam-3330	101	9	s−	s−	PROPN
ejpam-3330	101	10	k)u	k)u	PUNCT
ejpam-3330	101	11	e−(s−k)um	e−(s−k)um	PROPN
ejpam-3330	102	1	+	+	CCONJ
ejpam-3330	102	2	1	1	NUM
ejpam-3330	102	3	(	(	PUNCT
ejpam-3330	102	4	s−	s−	PROPN
ejpam-3330	102	5	k)u	k)u	PUNCT
ejpam-3330	102	6	e−(s−k)ut	e−(s−k)ut	PROPN
ejpam-3330	102	7	]	]	PUNCT
ejpam-3330	103	1	‖g{f(t)}‖	‖g{f(t)}‖	NOUN
ejpam-3330	103	2	≤	≤	ADV
ejpam-3330	103	3	1	1	NUM
ejpam-3330	103	4	(	(	PUNCT
ejpam-3330	103	5	s−	s−	PROPN
ejpam-3330	103	6	k)u	k)u	PUNCT
ejpam-3330	103	7	,	,	PUNCT
ejpam-3330	103	8	u	u	X
ejpam-3330	103	9	>	>	X
ejpam-3330	103	10	0	0	NUM
ejpam-3330	103	11	,	,	PUNCT
ejpam-3330	103	12	s	s	PART
ejpam-3330	103	13	>	>	X
ejpam-3330	103	14	k.	k.	NOUN
ejpam-3330	104	1	we	we	PRON
ejpam-3330	104	2	observed	observe	VERB
ejpam-3330	104	3	that	that	SCONJ
ejpam-3330	104	4	g{f(t	g{f(t	NOUN
ejpam-3330	104	5	)	)	PUNCT
ejpam-3330	104	6	}	}	PUNCT
ejpam-3330	104	7	exists	exist	VERB
ejpam-3330	104	8	for	for	ADP
ejpam-3330	104	9	u	u	PROPN
ejpam-3330	104	10	>	>	X
ejpam-3330	104	11	0	0	NUM
ejpam-3330	104	12	,	,	PUNCT
ejpam-3330	104	13	s	s	PART
ejpam-3330	104	14	>	>	X
ejpam-3330	104	15	k	k	PROPN
ejpam-3330	104	16	for	for	ADP
ejpam-3330	104	17	some	some	DET
ejpam-3330	104	18	t	t	PROPN
ejpam-3330	104	19	>	>	X
ejpam-3330	104	20	t	t	PROPN
ejpam-3330	104	21	.	.	PUNCT
ejpam-3330	105	1	2.3	2.3	NUM
ejpam-3330	105	2	.	.	PUNCT
ejpam-3330	105	3	properties	property	NOUN
ejpam-3330	105	4	of	of	ADP
ejpam-3330	105	5	a	a	DET
ejpam-3330	105	6	generalization	generalization	NOUN
ejpam-3330	105	7	of	of	ADP
ejpam-3330	105	8	integral	integral	ADJ
ejpam-3330	105	9	transform	transform	NOUN
ejpam-3330	105	10	corollary	corollary	ADJ
ejpam-3330	105	11	1	1	NUM
ejpam-3330	105	12	.	.	PUNCT
ejpam-3330	106	1	(	(	PUNCT
ejpam-3330	106	2	linearity	linearity	NOUN
ejpam-3330	106	3	property	property	NOUN
ejpam-3330	106	4	of	of	ADP
ejpam-3330	106	5	git	git	NOUN
ejpam-3330	106	6	)	)	PUNCT
ejpam-3330	106	7	let	let	VERB
ejpam-3330	106	8	f(t	f(t	NOUN
ejpam-3330	106	9	)	)	PUNCT
ejpam-3330	106	10	and	and	CCONJ
ejpam-3330	106	11	g(t	g(t	PROPN
ejpam-3330	106	12	)	)	PUNCT
ejpam-3330	106	13	be	be	AUX
ejpam-3330	106	14	functions	function	NOUN
ejpam-3330	106	15	defined	define	VERB
ejpam-3330	106	16	for	for	ADP
ejpam-3330	106	17	t	t	PROPN
ejpam-3330	106	18	≥	≥	NOUN
ejpam-3330	106	19	0	0	NUM
ejpam-3330	106	20	.	.	PUNCT
ejpam-3330	107	1	then	then	ADV
ejpam-3330	107	2	g{αf(t	g{αf(t	VERB
ejpam-3330	107	3	)	)	PUNCT
ejpam-3330	108	1	+	+	NUM
ejpam-3330	108	2	βg(t	βg(t	X
ejpam-3330	108	3	)	)	PUNCT
ejpam-3330	108	4	}	}	PUNCT
ejpam-3330	109	1	=	=	SYM
ejpam-3330	109	2	αg{f(t)}+	αg{f(t)}+	NUM
ejpam-3330	109	3	βg{g(t	βg{g(t	NOUN
ejpam-3330	109	4	)	)	PUNCT
ejpam-3330	109	5	}	}	PUNCT
ejpam-3330	109	6	,	,	PUNCT
ejpam-3330	109	7	b.	b.	PROPN
ejpam-3330	109	8	barnes	barnes	PROPN
ejpam-3330	109	9	,	,	PUNCT
ejpam-3330	109	10	c.	c.	PROPN
ejpam-3330	109	11	sebil	sebil	PROPN
ejpam-3330	109	12	,	,	PUNCT
ejpam-3330	109	13	a.	a.	NOUN
ejpam-3330	109	14	quaye	quaye	PROPN
ejpam-3330	109	15	/	/	SYM
ejpam-3330	109	16	eur	eur	PROPN
ejpam-3330	109	17	.	.	PUNCT
ejpam-3330	110	1	j.	j.	PROPN
ejpam-3330	110	2	pure	pure	PROPN
ejpam-3330	110	3	appl	appl	PROPN
ejpam-3330	110	4	.	.	PROPN
ejpam-3330	110	5	math	math	PROPN
ejpam-3330	110	6	,	,	PUNCT
ejpam-3330	110	7	11	11	NUM
ejpam-3330	110	8	(	(	PUNCT
ejpam-3330	110	9	4	4	NUM
ejpam-3330	110	10	)	)	PUNCT
ejpam-3330	110	11	(	(	PUNCT
ejpam-3330	110	12	2018	2018	NUM
ejpam-3330	110	13	)	)	PUNCT
ejpam-3330	110	14	,	,	PUNCT
ejpam-3330	110	15	1130	1130	NUM
ejpam-3330	110	16	-	-	SYM
ejpam-3330	110	17	1142	1142	NUM
ejpam-3330	110	18	1134	1134	NUM
ejpam-3330	110	19	where	where	SCONJ
ejpam-3330	110	20	α	α	NOUN
ejpam-3330	110	21	and	and	CCONJ
ejpam-3330	110	22	β	β	PROPN
ejpam-3330	110	23	are	be	AUX
ejpam-3330	110	24	scalars	scalar	NOUN
ejpam-3330	110	25	.	.	PUNCT
ejpam-3330	111	1	proof	proof	NOUN
ejpam-3330	111	2	:	:	PUNCT
ejpam-3330	111	3	we	we	PRON
ejpam-3330	111	4	see	see	VERB
ejpam-3330	111	5	from	from	ADP
ejpam-3330	111	6	the	the	DET
ejpam-3330	111	7	definition	definition	NOUN
ejpam-3330	111	8	of	of	ADP
ejpam-3330	111	9	the	the	DET
ejpam-3330	111	10	generalized	generalized	ADJ
ejpam-3330	111	11	integral	integral	ADJ
ejpam-3330	111	12	transform	transform	NOUN
ejpam-3330	111	13	that	that	PRON
ejpam-3330	111	14	:	:	PUNCT
ejpam-3330	111	15	g{αf(t	g{αf(t	X
ejpam-3330	111	16	)	)	PUNCT
ejpam-3330	111	17	+	+	NUM
ejpam-3330	111	18	βg(t	βg(t	X
ejpam-3330	111	19	)	)	PUNCT
ejpam-3330	111	20	}	}	PUNCT
ejpam-3330	112	1	=	=	SYM
ejpam-3330	112	2	u	u	NOUN
ejpam-3330	112	3	∫	∫	PROPN
ejpam-3330	112	4	∞	∞	PROPN
ejpam-3330	112	5	0	0	NUM
ejpam-3330	112	6	(	(	PUNCT
ejpam-3330	112	7	αf(ut	αf(ut	PROPN
ejpam-3330	112	8	)	)	PUNCT
ejpam-3330	112	9	+	+	X
ejpam-3330	112	10	βg(ut	βg(ut	PROPN
ejpam-3330	112	11	)	)	PUNCT
ejpam-3330	112	12	)	)	PUNCT
ejpam-3330	113	1	e−sutdt	e−sutdt	VERB
ejpam-3330	113	2	⇒	⇒	NOUN
ejpam-3330	113	3	g{αf(t	g{αf(t	ADV
ejpam-3330	113	4	)	)	PUNCT
ejpam-3330	114	1	+	+	CCONJ
ejpam-3330	114	2	βg(t	βg(t	X
ejpam-3330	114	3	)	)	PUNCT
ejpam-3330	114	4	}	}	PUNCT
ejpam-3330	115	1	=	=	SYM
ejpam-3330	115	2	u	u	NOUN
ejpam-3330	115	3	∫	∫	PROPN
ejpam-3330	115	4	∞	∞	PROPN
ejpam-3330	115	5	0	0	NUM
ejpam-3330	116	1	αf(ut)e−sutdt+	αf(ut)e−sutdt+	PROPN
ejpam-3330	116	2	u	u	NOUN
ejpam-3330	116	3	∫	∫	PROPN
ejpam-3330	116	4	∞	∞	PROPN
ejpam-3330	116	5	0	0	PUNCT
ejpam-3330	116	6	βg(ut)e−sutdt	βg(ut)e−sutdt	ADJ
ejpam-3330	116	7	⇒	⇒	NOUN
ejpam-3330	116	8	g{αf(t	g{αf(t	ADV
ejpam-3330	116	9	)	)	PUNCT
ejpam-3330	116	10	+	+	CCONJ
ejpam-3330	116	11	βg(t	βg(t	X
ejpam-3330	116	12	)	)	PUNCT
ejpam-3330	116	13	}	}	PUNCT
ejpam-3330	116	14	=	=	PUNCT
ejpam-3330	117	1	αu	αu	NUM
ejpam-3330	117	2	∫	∫	PROPN
ejpam-3330	117	3	∞	∞	PROPN
ejpam-3330	117	4	0	0	NUM
ejpam-3330	118	1	f(ut)e−sutdt+	f(ut)e−sutdt+	PROPN
ejpam-3330	118	2	βu	βu	X
ejpam-3330	118	3	∫	∫	PROPN
ejpam-3330	119	1	∞	∞	PROPN
ejpam-3330	119	2	0	0	PUNCT
ejpam-3330	120	1	g(ut)e−sutdt	g(ut)e−sutdt	ADJ
ejpam-3330	120	2	⇒	⇒	NOUN
ejpam-3330	120	3	g{αf(t	g{αf(t	ADV
ejpam-3330	120	4	)	)	PUNCT
ejpam-3330	121	1	+	+	CCONJ
ejpam-3330	121	2	βg(t	βg(t	X
ejpam-3330	121	3	)	)	PUNCT
ejpam-3330	121	4	}	}	PUNCT
ejpam-3330	122	1	=	=	SYM
ejpam-3330	122	2	αg{f(t)}+	αg{f(t)}+	NUM
ejpam-3330	122	3	βg{g(t	βg{g(t	NOUN
ejpam-3330	122	4	)	)	PUNCT
ejpam-3330	122	5	}	}	PUNCT
ejpam-3330	122	6	.	.	PUNCT
ejpam-3330	123	1	corollary	corollary	ADJ
ejpam-3330	123	2	2	2	NUM
ejpam-3330	123	3	.	.	PUNCT
ejpam-3330	123	4	(	(	PUNCT
ejpam-3330	123	5	first	first	ADV
ejpam-3330	123	6	shifting	shift	VERB
ejpam-3330	123	7	theorem	theorem	NOUN
ejpam-3330	123	8	of	of	ADP
ejpam-3330	123	9	a	a	DET
ejpam-3330	123	10	function	function	NOUN
ejpam-3330	123	11	using	use	VERB
ejpam-3330	123	12	the	the	DET
ejpam-3330	123	13	git	git	NOUN
ejpam-3330	123	14	)	)	PUNCT
ejpam-3330	123	15	if	if	SCONJ
ejpam-3330	123	16	g{f(t	g{f(t	NOUN
ejpam-3330	123	17	)	)	PUNCT
ejpam-3330	123	18	}	}	PUNCT
ejpam-3330	123	19	=	=	SYM
ejpam-3330	123	20	g(s	g(s	NOUN
ejpam-3330	123	21	)	)	PUNCT
ejpam-3330	123	22	,	,	PUNCT
ejpam-3330	123	23	then	then	ADV
ejpam-3330	123	24	g{eαxf(t	g{eαxf(t	PROPN
ejpam-3330	123	25	)	)	PUNCT
ejpam-3330	123	26	}	}	PUNCT
ejpam-3330	124	1	=	=	SYM
ejpam-3330	124	2	g(s−	g(s−	ADJ
ejpam-3330	124	3	α	α	NOUN
ejpam-3330	124	4	)	)	PUNCT
ejpam-3330	124	5	,	,	PUNCT
ejpam-3330	124	6	for	for	ADP
ejpam-3330	124	7	s	s	PROPN
ejpam-3330	124	8	>	>	X
ejpam-3330	124	9	1	1	NUM
ejpam-3330	124	10	.	.	PUNCT
ejpam-3330	125	1	proof	proof	NOUN
ejpam-3330	125	2	:	:	PUNCT
ejpam-3330	125	3	setting	set	VERB
ejpam-3330	125	4	g{f(t	g{f(t	NOUN
ejpam-3330	125	5	)	)	PUNCT
ejpam-3330	125	6	}	}	PUNCT
ejpam-3330	125	7	=	=	SYM
ejpam-3330	125	8	g(s	g(s	NOUN
ejpam-3330	125	9	)	)	PUNCT
ejpam-3330	125	10	=	=	SYM
ejpam-3330	125	11	u	u	NOUN
ejpam-3330	125	12	∫∞	∫∞	NOUN
ejpam-3330	125	13	0	0	PUNCT
ejpam-3330	126	1	f(ut)e−ustdt	f(ut)e−ustdt	PROPN
ejpam-3330	126	2	,	,	PUNCT
ejpam-3330	126	3	then	then	ADV
ejpam-3330	126	4	g{eαtf(t	g{eαtf(t	NOUN
ejpam-3330	126	5	)	)	PUNCT
ejpam-3330	126	6	}	}	PUNCT
ejpam-3330	126	7	=	=	SYM
ejpam-3330	126	8	u	u	NOUN
ejpam-3330	126	9	∫	∫	PROPN
ejpam-3330	126	10	∞	∞	PROPN
ejpam-3330	126	11	0	0	NUM
ejpam-3330	126	12	eαutf(ut)e−ustdt	eαutf(ut)e−ustdt	VERB
ejpam-3330	126	13	g{eαtf(t	g{eαtf(t	NOUN
ejpam-3330	126	14	)	)	PUNCT
ejpam-3330	126	15	}	}	PUNCT
ejpam-3330	127	1	=	=	SYM
ejpam-3330	127	2	u	u	NOUN
ejpam-3330	127	3	∫	∫	PROPN
ejpam-3330	127	4	∞	∞	PROPN
ejpam-3330	127	5	0	0	NUM
ejpam-3330	128	1	f(ut)e−(s−α)utdt	f(ut)e−(s−α)utdt	PROPN
ejpam-3330	128	2	g{eαtf(t	g{eαtf(t	NOUN
ejpam-3330	128	3	)	)	PUNCT
ejpam-3330	128	4	}	}	PUNCT
ejpam-3330	129	1	=	=	SYM
ejpam-3330	129	2	g(s−	g(s−	ADJ
ejpam-3330	129	3	α	α	NOUN
ejpam-3330	129	4	)	)	PUNCT
ejpam-3330	129	5	.	.	PUNCT
ejpam-3330	130	1	corollary	corollary	ADJ
ejpam-3330	130	2	3	3	NUM
ejpam-3330	130	3	.	.	PUNCT
ejpam-3330	130	4	(	(	PUNCT
ejpam-3330	130	5	second	second	ADJ
ejpam-3330	130	6	shifting	shifting	NOUN
ejpam-3330	130	7	theorem	theorem	NOUN
ejpam-3330	130	8	of	of	ADP
ejpam-3330	130	9	a	a	DET
ejpam-3330	130	10	function	function	NOUN
ejpam-3330	130	11	using	use	VERB
ejpam-3330	130	12	the	the	DET
ejpam-3330	130	13	git	git	NOUN
ejpam-3330	130	14	)	)	PUNCT
ejpam-3330	130	15	.	.	PUNCT
ejpam-3330	131	1	setting	set	VERB
ejpam-3330	131	2	hc(t	hc(t	NOUN
ejpam-3330	131	3	)	)	PUNCT
ejpam-3330	132	1	=	=	PRON
ejpam-3330	132	2	{	{	PUNCT
ejpam-3330	132	3	0	0	NUM
ejpam-3330	132	4	,	,	PUNCT
ejpam-3330	132	5	0	0	NUM
ejpam-3330	132	6	≤	≤	NUM
ejpam-3330	132	7	t	t	NOUN
ejpam-3330	132	8	<	<	X
ejpam-3330	132	9	c	c	PROPN
ejpam-3330	132	10	1	1	NUM
ejpam-3330	132	11	,	,	PUNCT
ejpam-3330	132	12	t	t	PROPN
ejpam-3330	132	13	≥	≥	NUM
ejpam-3330	132	14	c	c	AUX
ejpam-3330	132	15	be	be	AUX
ejpam-3330	132	16	a	a	DET
ejpam-3330	132	17	unit	unit	NOUN
ejpam-3330	132	18	step	step	NOUN
ejpam-3330	132	19	function	function	NOUN
ejpam-3330	132	20	.	.	PUNCT
ejpam-3330	133	1	then	then	ADV
ejpam-3330	133	2	g{hcf(t−	g{hcf(t−	VERB
ejpam-3330	133	3	c	c	NOUN
ejpam-3330	133	4	)	)	PUNCT
ejpam-3330	133	5	}	}	PUNCT
ejpam-3330	133	6	=	=	SYM
ejpam-3330	133	7	e−csg(s	e−csg(s	NUM
ejpam-3330	133	8	)	)	PUNCT
ejpam-3330	133	9	.	.	PUNCT
ejpam-3330	134	1	proof	proof	NOUN
ejpam-3330	134	2	:	:	PUNCT
ejpam-3330	134	3	we	we	PRON
ejpam-3330	134	4	see	see	VERB
ejpam-3330	134	5	the	the	DET
ejpam-3330	134	6	definition	definition	NOUN
ejpam-3330	134	7	of	of	ADP
ejpam-3330	134	8	the	the	DET
ejpam-3330	134	9	git	git	NOUN
ejpam-3330	135	1	that	that	PRON
ejpam-3330	135	2	:	:	PUNCT
ejpam-3330	135	3	g{hc(t)f(t−	g{hc(t)f(t−	INTJ
ejpam-3330	135	4	c	c	NOUN
ejpam-3330	135	5	)	)	PUNCT
ejpam-3330	135	6	}	}	PUNCT
ejpam-3330	135	7	=	=	SYM
ejpam-3330	135	8	u	u	NOUN
ejpam-3330	135	9	∫	∫	PROPN
ejpam-3330	135	10	∞	∞	PROPN
ejpam-3330	135	11	0	0	NUM
ejpam-3330	136	1	hc(t)f(ut−	hc(t)f(ut−	PUNCT
ejpam-3330	137	1	c)e−ustdt	c)e−ustdt	PROPN
ejpam-3330	137	2	⇒	⇒	NOUN
ejpam-3330	137	3	g{hc(t)f(t−	g{hc(t)f(t−	PROPN
ejpam-3330	137	4	c	c	X
ejpam-3330	137	5	)	)	PUNCT
ejpam-3330	137	6	}	}	PUNCT
ejpam-3330	138	1	=	=	SYM
ejpam-3330	138	2	u	u	PROPN
ejpam-3330	138	3	lim	lim	PROPN
ejpam-3330	138	4	m→∞	m→∞	NUM
ejpam-3330	138	5	∫	∫	PROPN
ejpam-3330	138	6	m	m	PROPN
ejpam-3330	138	7	0	0	NUM
ejpam-3330	138	8	1.f(ut−	1.f(ut−	NUM
ejpam-3330	138	9	c)e−ustdt	c)e−ustdt	PROPN
ejpam-3330	138	10	⇒	⇒	NOUN
ejpam-3330	139	1	g{hc(t)f(t−	g{hc(t)f(t−	PROPN
ejpam-3330	140	1	c	c	X
ejpam-3330	140	2	)	)	PUNCT
ejpam-3330	140	3	}	}	PUNCT
ejpam-3330	141	1	=	=	SYM
ejpam-3330	141	2	lim	lim	PROPN
ejpam-3330	141	3	m→∞	m→∞	NUM
ejpam-3330	141	4	∫	∫	PROPN
ejpam-3330	141	5	um−c	um−c	NOUN
ejpam-3330	141	6	0	0	NUM
ejpam-3330	141	7	f(v)e−(s−c)vdv	f(v)e−(s−c)vdv	PROPN
ejpam-3330	141	8	g{hcf(t−	g{hcf(t−	PROPN
ejpam-3330	141	9	c	c	X
ejpam-3330	141	10	)	)	PUNCT
ejpam-3330	141	11	}	}	PUNCT
ejpam-3330	141	12	=	=	SYM
ejpam-3330	141	13	e−csg(s	e−csg(s	NUM
ejpam-3330	141	14	)	)	PUNCT
ejpam-3330	141	15	.	.	PUNCT
ejpam-3330	142	1	b.	b.	PROPN
ejpam-3330	142	2	barnes	barnes	PROPN
ejpam-3330	142	3	,	,	PUNCT
ejpam-3330	142	4	c.	c.	PROPN
ejpam-3330	142	5	sebil	sebil	PROPN
ejpam-3330	142	6	,	,	PUNCT
ejpam-3330	142	7	a.	a.	NOUN
ejpam-3330	142	8	quaye	quaye	PROPN
ejpam-3330	142	9	/	/	SYM
ejpam-3330	142	10	eur	eur	PROPN
ejpam-3330	142	11	.	.	PUNCT
ejpam-3330	143	1	j.	j.	PROPN
ejpam-3330	143	2	pure	pure	PROPN
ejpam-3330	143	3	appl	appl	PROPN
ejpam-3330	143	4	.	.	PROPN
ejpam-3330	143	5	math	math	PROPN
ejpam-3330	143	6	,	,	PUNCT
ejpam-3330	143	7	11	11	NUM
ejpam-3330	143	8	(	(	PUNCT
ejpam-3330	143	9	4	4	NUM
ejpam-3330	143	10	)	)	PUNCT
ejpam-3330	143	11	(	(	PUNCT
ejpam-3330	143	12	2018	2018	NUM
ejpam-3330	143	13	)	)	PUNCT
ejpam-3330	143	14	,	,	PUNCT
ejpam-3330	143	15	1130	1130	NUM
ejpam-3330	143	16	-	-	SYM
ejpam-3330	143	17	1142	1142	NUM
ejpam-3330	143	18	1135	1135	NUM
ejpam-3330	143	19	2.4	2.4	NUM
ejpam-3330	143	20	.	.	PUNCT
ejpam-3330	144	1	the	the	DET
ejpam-3330	144	2	git	git	NOUN
ejpam-3330	144	3	of	of	ADP
ejpam-3330	144	4	derivative	derivative	NOUN
ejpam-3330	144	5	in	in	ADP
ejpam-3330	144	6	this	this	DET
ejpam-3330	144	7	section	section	NOUN
ejpam-3330	144	8	,	,	PUNCT
ejpam-3330	144	9	we	we	PRON
ejpam-3330	144	10	derive	derive	VERB
ejpam-3330	144	11	an	an	DET
ejpam-3330	144	12	expression	expression	NOUN
ejpam-3330	144	13	for	for	ADP
ejpam-3330	144	14	the	the	DET
ejpam-3330	144	15	derivative	derivative	NOUN
ejpam-3330	144	16	of	of	ADP
ejpam-3330	144	17	function	function	NOUN
ejpam-3330	144	18	which	which	PRON
ejpam-3330	144	19	shall	shall	AUX
ejpam-3330	144	20	enable	enable	VERB
ejpam-3330	144	21	us	we	PRON
ejpam-3330	144	22	to	to	PART
ejpam-3330	144	23	search	search	VERB
ejpam-3330	144	24	for	for	ADP
ejpam-3330	144	25	the	the	DET
ejpam-3330	144	26	solutions	solution	NOUN
ejpam-3330	144	27	of	of	ADP
ejpam-3330	144	28	ordinary	ordinary	ADJ
ejpam-3330	144	29	differential	differential	ADJ
ejpam-3330	144	30	equations	equation	NOUN
ejpam-3330	144	31	.	.	PUNCT
ejpam-3330	145	1	the	the	DET
ejpam-3330	145	2	result	result	NOUN
ejpam-3330	145	3	is	be	AUX
ejpam-3330	145	4	in	in	ADP
ejpam-3330	145	5	theorem	theorem	ADJ
ejpam-3330	145	6	3	3	NUM
ejpam-3330	145	7	below	below	ADV
ejpam-3330	145	8	.	.	PUNCT
ejpam-3330	146	1	theorem	theorem	VERB
ejpam-3330	146	2	3	3	NUM
ejpam-3330	146	3	.	.	PUNCT
ejpam-3330	147	1	if	if	SCONJ
ejpam-3330	147	2	y(t	y(t	PROPN
ejpam-3330	147	3	)	)	PUNCT
ejpam-3330	147	4	,	,	PUNCT
ejpam-3330	148	1	y′(t	y′(t	NOUN
ejpam-3330	148	2	)	)	PUNCT
ejpam-3330	148	3	,	,	PUNCT
ejpam-3330	148	4	.	.	PUNCT
ejpam-3330	148	5	.	.	PUNCT
ejpam-3330	149	1	.	.	PUNCT
ejpam-3330	150	1	,	,	PUNCT
ejpam-3330	150	2	y(n−1)(t	y(n−1)(t	X
ejpam-3330	150	3	)	)	PUNCT
ejpam-3330	150	4	are	be	AUX
ejpam-3330	150	5	continuous	continuous	ADJ
ejpam-3330	150	6	on	on	ADP
ejpam-3330	150	7	[	[	X
ejpam-3330	150	8	0,∞	0,∞	NOUN
ejpam-3330	150	9	)	)	PUNCT
ejpam-3330	150	10	and	and	CCONJ
ejpam-3330	150	11	are	be	AUX
ejpam-3330	150	12	of	of	ADP
ejpam-3330	150	13	exponential	exponential	ADJ
ejpam-3330	150	14	order	order	NOUN
ejpam-3330	150	15	and	and	CCONJ
ejpam-3330	150	16	if	if	SCONJ
ejpam-3330	150	17	f	f	PROPN
ejpam-3330	150	18	(	(	PUNCT
ejpam-3330	150	19	n)(t	n)(t	PROPN
ejpam-3330	150	20	)	)	PUNCT
ejpam-3330	150	21	is	be	AUX
ejpam-3330	150	22	piecewise	piecewise	NOUN
ejpam-3330	150	23	continuous	continuous	ADJ
ejpam-3330	150	24	on	on	ADP
ejpam-3330	150	25	[	[	X
ejpam-3330	150	26	0,∞	0,∞	NOUN
ejpam-3330	150	27	)	)	PUNCT
ejpam-3330	150	28	,	,	PUNCT
ejpam-3330	150	29	then	then	ADV
ejpam-3330	150	30	g{f	g{f	X
ejpam-3330	150	31	(	(	PUNCT
ejpam-3330	150	32	n)(t	n)(t	PROPN
ejpam-3330	150	33	)	)	PUNCT
ejpam-3330	150	34	}	}	PUNCT
ejpam-3330	151	1	=	=	SYM
ejpam-3330	151	2	unsny	unsny	INTJ
ejpam-3330	151	3	(	(	PUNCT
ejpam-3330	151	4	s)−	s)−	PROPN
ejpam-3330	151	5	unsn−1y(0)−	unsn−1y(0)−	PROPN
ejpam-3330	151	6	un−1sn−2y′(0)−	un−1sn−2y′(0)−	PROPN
ejpam-3330	151	7	.	.	PUNCT
ejpam-3330	151	8	.	.	PUNCT
ejpam-3330	152	1	.−	.−	PUNCT
ejpam-3330	153	1	uy(n−1)(0	uy(n−1)(0	ADV
ejpam-3330	153	2	)	)	PUNCT
ejpam-3330	153	3	,	,	PUNCT
ejpam-3330	153	4	where	where	SCONJ
ejpam-3330	153	5	g(s	g(s	NOUN
ejpam-3330	153	6	)	)	PUNCT
ejpam-3330	153	7	=	=	PUNCT
ejpam-3330	153	8	g{f(t	g{f(t	NOUN
ejpam-3330	153	9	)	)	PUNCT
ejpam-3330	153	10	}	}	PUNCT
ejpam-3330	153	11	.	.	PUNCT
ejpam-3330	154	1	proof	proof	NOUN
ejpam-3330	154	2	:	:	PUNCT
ejpam-3330	154	3	by	by	ADP
ejpam-3330	154	4	induction	induction	NOUN
ejpam-3330	154	5	,	,	PUNCT
ejpam-3330	154	6	we	we	PRON
ejpam-3330	154	7	consider	consider	VERB
ejpam-3330	154	8	the	the	DET
ejpam-3330	154	9	function	function	NOUN
ejpam-3330	154	10	y(t	y(t	PROPN
ejpam-3330	154	11	)	)	PUNCT
ejpam-3330	154	12	.	.	PUNCT
ejpam-3330	155	1	we	we	PRON
ejpam-3330	155	2	see	see	VERB
ejpam-3330	155	3	from	from	ADP
ejpam-3330	155	4	theorem	theorem	NOUN
ejpam-3330	155	5	(	(	PUNCT
ejpam-3330	155	6	2.5	2.5	NUM
ejpam-3330	155	7	)	)	PUNCT
ejpam-3330	155	8	that	that	PRON
ejpam-3330	155	9	:	:	PUNCT
ejpam-3330	155	10	g{y(t	g{y(t	NUM
ejpam-3330	155	11	)	)	PUNCT
ejpam-3330	155	12	}	}	PUNCT
ejpam-3330	156	1	=	=	SYM
ejpam-3330	156	2	y	y	PROPN
ejpam-3330	156	3	(	(	PUNCT
ejpam-3330	156	4	s	s	NOUN
ejpam-3330	156	5	)	)	PUNCT
ejpam-3330	156	6	=	=	SYM
ejpam-3330	156	7	u	u	PROPN
ejpam-3330	156	8	∞∫	∞∫	PROPN
ejpam-3330	156	9	0	0	NUM
ejpam-3330	156	10	e−usty(ut)dt	e−usty(ut)dt	PROPN
ejpam-3330	156	11	considering	consider	VERB
ejpam-3330	156	12	g	g	PROPN
ejpam-3330	156	13	{	{	PUNCT
ejpam-3330	156	14	dy	dy	NOUN
ejpam-3330	156	15	dt	dt	NOUN
ejpam-3330	156	16	}	}	PUNCT
ejpam-3330	156	17	.	.	PUNCT
ejpam-3330	157	1	thus	thus	ADV
ejpam-3330	157	2	,	,	PUNCT
ejpam-3330	157	3	g	g	PROPN
ejpam-3330	157	4	{	{	PUNCT
ejpam-3330	157	5	dy	dy	NOUN
ejpam-3330	157	6	dt	dt	NOUN
ejpam-3330	157	7	}	}	PUNCT
ejpam-3330	157	8	=	=	PUNCT
ejpam-3330	157	9	u	u	PROPN
ejpam-3330	157	10	∞∫	∞∫	PROPN
ejpam-3330	157	11	0	0	PROPN
ejpam-3330	157	12	e−ust	e−ust	PROPN
ejpam-3330	157	13	dy(ut	dy(ut	PROPN
ejpam-3330	157	14	)	)	PUNCT
ejpam-3330	157	15	dt	dt	PUNCT
ejpam-3330	157	16	dt	dt	X
ejpam-3330	157	17	g	g	PROPN
ejpam-3330	157	18	{	{	PUNCT
ejpam-3330	157	19	dy	dy	NOUN
ejpam-3330	157	20	dt	dt	NOUN
ejpam-3330	157	21	}	}	PUNCT
ejpam-3330	157	22	=	=	SYM
ejpam-3330	157	23	u	u	PROPN
ejpam-3330	157	24	lim	lim	PROPN
ejpam-3330	157	25	m→∞	m→∞	NOUN
ejpam-3330	157	26	m∫	m∫	PROPN
ejpam-3330	157	27	0	0	NUM
ejpam-3330	157	28	e−ust	e−ust	PROPN
ejpam-3330	157	29	dy(ut	dy(ut	PROPN
ejpam-3330	157	30	)	)	PUNCT
ejpam-3330	157	31	dt	dt	PUNCT
ejpam-3330	158	1	dt	dt	X
ejpam-3330	158	2	.	.	PUNCT
ejpam-3330	159	1	using	use	VERB
ejpam-3330	159	2	the	the	DET
ejpam-3330	159	3	integration	integration	NOUN
ejpam-3330	159	4	by	by	ADP
ejpam-3330	159	5	part	part	NOUN
ejpam-3330	159	6	yields	yield	NOUN
ejpam-3330	159	7	g	g	PROPN
ejpam-3330	159	8	{	{	PUNCT
ejpam-3330	159	9	dy	dy	X
ejpam-3330	159	10	dt	dt	NOUN
ejpam-3330	159	11	}	}	PUNCT
ejpam-3330	159	12	=	=	SYM
ejpam-3330	159	13	u	u	PROPN
ejpam-3330	159	14			PROPN
ejpam-3330	159	15	lim	lim	PROPN
ejpam-3330	159	16	m→∞	m→∞	NOUN
ejpam-3330	159	17	[	[	PUNCT
ejpam-3330	159	18	e−usty(ut	e−usty(ut	PROPN
ejpam-3330	159	19	)	)	PUNCT
ejpam-3330	159	20	]	]	X
ejpam-3330	159	21	m	m	VERB
ejpam-3330	159	22	0	0	NUM
ejpam-3330	160	1	+	+	CCONJ
ejpam-3330	160	2	us	us	PROPN
ejpam-3330	160	3	lim	lim	PROPN
ejpam-3330	160	4	m→∞	m→∞	NOUN
ejpam-3330	160	5	m∫	m∫	ADJ
ejpam-3330	160	6	0	0	NUM
ejpam-3330	160	7	e−usty(ut)dt	e−usty(ut)dt	PROPN
ejpam-3330	160	8			PROPN
ejpam-3330	160	9	g	g	PROPN
ejpam-3330	160	10	{	{	PUNCT
ejpam-3330	160	11	dy	dy	NOUN
ejpam-3330	160	12	dt	dt	NOUN
ejpam-3330	160	13	}	}	PUNCT
ejpam-3330	160	14	=	=	SYM
ejpam-3330	160	15	u	u	PROPN
ejpam-3330	160	16			PROPN
ejpam-3330	160	17	lim	lim	PROPN
ejpam-3330	160	18	m→∞	m→∞	NOUN
ejpam-3330	160	19	[	[	PUNCT
ejpam-3330	160	20	e−usmy(um)−	e−usmy(um)−	PROPN
ejpam-3330	160	21	e−us(0)y(0	e−us(0)y(0	NOUN
ejpam-3330	160	22	)	)	PUNCT
ejpam-3330	160	23	]	]	PUNCT
ejpam-3330	161	1	+	+	CCONJ
ejpam-3330	161	2	us	us	PROPN
ejpam-3330	161	3	lim	lim	PROPN
ejpam-3330	161	4	m→∞	m→∞	NOUN
ejpam-3330	161	5	m∫	m∫	ADJ
ejpam-3330	161	6	0	0	NUM
ejpam-3330	161	7	e−usty(ut)dt	e−usty(ut)dt	PROPN
ejpam-3330	161	8			PROPN
ejpam-3330	161	9	g	g	PROPN
ejpam-3330	161	10	{	{	PUNCT
ejpam-3330	161	11	dy	dy	NOUN
ejpam-3330	161	12	dt	dt	NOUN
ejpam-3330	161	13	}	}	PUNCT
ejpam-3330	161	14	=	=	SYM
ejpam-3330	161	15	u	u	PROPN
ejpam-3330	161	16			PROPN
ejpam-3330	161	17	lim	lim	PROPN
ejpam-3330	161	18	m→∞	m→∞	NOUN
ejpam-3330	161	19	e−usmy(um)−	e−usmy(um)−	PROPN
ejpam-3330	161	20	lim	lim	PROPN
ejpam-3330	161	21	m→∞	m→∞	NOUN
ejpam-3330	161	22	y(0	y(0	PROPN
ejpam-3330	161	23	)	)	PUNCT
ejpam-3330	161	24	+	+	NUM
ejpam-3330	161	25	us	us	PROPN
ejpam-3330	161	26	∞∫	∞∫	NOUN
ejpam-3330	161	27	0	0	NUM
ejpam-3330	162	1	e−usty(ut)dt	e−usty(ut)dt	PROPN
ejpam-3330	163	1			PROPN
ejpam-3330	163	2	g	g	PROPN
ejpam-3330	163	3	{	{	PUNCT
ejpam-3330	163	4	dy	dy	NOUN
ejpam-3330	163	5	dt	dt	NOUN
ejpam-3330	163	6	}	}	PUNCT
ejpam-3330	163	7	=	=	SYM
ejpam-3330	163	8	u	u	PROPN
ejpam-3330	163	9	0−	0−	PROPN
ejpam-3330	163	10	y(0	y(0	PROPN
ejpam-3330	163	11	)	)	PUNCT
ejpam-3330	163	12	+	+	NUM
ejpam-3330	163	13	us	us	PROPN
ejpam-3330	163	14	∞∫	∞∫	NOUN
ejpam-3330	163	15	0	0	NUM
ejpam-3330	164	1	e−usty(ut)dt	e−usty(ut)dt	PROPN
ejpam-3330	164	2			PROPN
ejpam-3330	164	3	g	g	PROPN
ejpam-3330	164	4	{	{	PUNCT
ejpam-3330	164	5	dy	dy	NOUN
ejpam-3330	164	6	dt	dt	NOUN
ejpam-3330	164	7	}	}	PUNCT
ejpam-3330	164	8	=	=	SYM
ejpam-3330	164	9	−uy(0	−uy(0	PROPN
ejpam-3330	164	10	)	)	PUNCT
ejpam-3330	164	11	+	+	CCONJ
ejpam-3330	164	12	us	we	PRON
ejpam-3330	164	13	u	u	VERB
ejpam-3330	164	14	∞∫	∞∫	PROPN
ejpam-3330	164	15	0	0	NUM
ejpam-3330	164	16	e−usty(ut)dt	e−usty(ut)dt	PROPN
ejpam-3330	164	17			NOUN
ejpam-3330	164	18	b.	b.	PROPN
ejpam-3330	164	19	barnes	barnes	PROPN
ejpam-3330	164	20	,	,	PUNCT
ejpam-3330	164	21	c.	c.	PROPN
ejpam-3330	164	22	sebil	sebil	PROPN
ejpam-3330	164	23	,	,	PUNCT
ejpam-3330	164	24	a.	a.	NOUN
ejpam-3330	164	25	quaye	quaye	PROPN
ejpam-3330	164	26	/	/	SYM
ejpam-3330	164	27	eur	eur	PROPN
ejpam-3330	164	28	.	.	PUNCT
ejpam-3330	165	1	j.	j.	PROPN
ejpam-3330	165	2	pure	pure	PROPN
ejpam-3330	165	3	appl	appl	PROPN
ejpam-3330	165	4	.	.	PROPN
ejpam-3330	165	5	math	math	PROPN
ejpam-3330	165	6	,	,	PUNCT
ejpam-3330	165	7	11	11	NUM
ejpam-3330	165	8	(	(	PUNCT
ejpam-3330	165	9	4	4	NUM
ejpam-3330	165	10	)	)	PUNCT
ejpam-3330	165	11	(	(	PUNCT
ejpam-3330	165	12	2018	2018	NUM
ejpam-3330	165	13	)	)	PUNCT
ejpam-3330	165	14	,	,	PUNCT
ejpam-3330	165	15	1130	1130	NUM
ejpam-3330	165	16	-	-	SYM
ejpam-3330	165	17	1142	1142	NUM
ejpam-3330	165	18	1136	1136	NUM
ejpam-3330	165	19	g	g	NOUN
ejpam-3330	165	20	{	{	PUNCT
ejpam-3330	165	21	dy	dy	NOUN
ejpam-3330	165	22	dt	dt	NOUN
ejpam-3330	165	23	}	}	PUNCT
ejpam-3330	165	24	=	=	SYM
ejpam-3330	165	25	usy	usy	NOUN
ejpam-3330	165	26	(	(	PUNCT
ejpam-3330	165	27	s)−	s)−	PROPN
ejpam-3330	165	28	uy(0	uy(0	PROPN
ejpam-3330	165	29	)	)	PUNCT
ejpam-3330	165	30	considering	consider	VERB
ejpam-3330	165	31	g	g	PROPN
ejpam-3330	165	32	{	{	PUNCT
ejpam-3330	165	33	d2y	d2y	PROPN
ejpam-3330	165	34	dt2	dt2	PROPN
ejpam-3330	165	35	}	}	PUNCT
ejpam-3330	165	36	,	,	PUNCT
ejpam-3330	165	37	we	we	PRON
ejpam-3330	165	38	have	have	VERB
ejpam-3330	165	39	:	:	PUNCT
ejpam-3330	165	40	g	g	PROPN
ejpam-3330	165	41	{	{	PUNCT
ejpam-3330	165	42	d2y	d2y	PROPN
ejpam-3330	165	43	dt2	dt2	PROPN
ejpam-3330	165	44	}	}	PUNCT
ejpam-3330	165	45	=	=	PUNCT
ejpam-3330	165	46	u	u	PROPN
ejpam-3330	165	47	∞∫	∞∫	PROPN
ejpam-3330	165	48	0	0	NUM
ejpam-3330	165	49	e−ust	e−ust	NOUN
ejpam-3330	165	50	d2y(ut	d2y(ut	NOUN
ejpam-3330	165	51	)	)	PUNCT
ejpam-3330	165	52	dt2	dt2	NOUN
ejpam-3330	165	53	dt	dt	X
ejpam-3330	165	54	g	g	PROPN
ejpam-3330	165	55	{	{	PUNCT
ejpam-3330	165	56	d2y	d2y	PROPN
ejpam-3330	165	57	dt2	dt2	PROPN
ejpam-3330	165	58	}	}	PUNCT
ejpam-3330	165	59	=	=	SYM
ejpam-3330	165	60	u	u	PROPN
ejpam-3330	165	61	lim	lim	PROPN
ejpam-3330	165	62	m→∞	m→∞	NOUN
ejpam-3330	165	63	m∫	m∫	ADJ
ejpam-3330	165	64	0	0	NUM
ejpam-3330	165	65	e−ust	e−ust	NOUN
ejpam-3330	165	66	d2y(ut	d2y(ut	PROPN
ejpam-3330	165	67	)	)	PUNCT
ejpam-3330	165	68	dt2	dt2	NOUN
ejpam-3330	165	69	dt	dt	X
ejpam-3330	165	70	using	use	VERB
ejpam-3330	165	71	the	the	DET
ejpam-3330	165	72	integration	integration	NOUN
ejpam-3330	165	73	by	by	ADP
ejpam-3330	165	74	parts	part	NOUN
ejpam-3330	165	75	yields	yield	NOUN
ejpam-3330	166	1	g	g	NOUN
ejpam-3330	166	2	{	{	PUNCT
ejpam-3330	166	3	d2y	d2y	PROPN
ejpam-3330	166	4	dt2	dt2	PROPN
ejpam-3330	166	5	}	}	PUNCT
ejpam-3330	166	6	=	=	SYM
ejpam-3330	166	7	u	u	PROPN
ejpam-3330	166	8			PROPN
ejpam-3330	166	9	lim	lim	PROPN
ejpam-3330	166	10	m→∞	m→∞	NOUN
ejpam-3330	166	11	[	[	PUNCT
ejpam-3330	166	12	e−ust	e−ust	NOUN
ejpam-3330	166	13	dy(ut	dy(ut	PROPN
ejpam-3330	166	14	)	)	PUNCT
ejpam-3330	166	15	dt	dt	X
ejpam-3330	166	16	]	]	X
ejpam-3330	166	17	m	m	VERB
ejpam-3330	166	18	0	0	NUM
ejpam-3330	167	1	+	+	CCONJ
ejpam-3330	167	2	us	us	PROPN
ejpam-3330	167	3	lim	lim	PROPN
ejpam-3330	167	4	m→∞	m→∞	NOUN
ejpam-3330	167	5	m∫	m∫	PROPN
ejpam-3330	167	6	0	0	NUM
ejpam-3330	167	7	e−ust	e−ust	PROPN
ejpam-3330	167	8	dy(ut	dy(ut	PROPN
ejpam-3330	167	9	)	)	PUNCT
ejpam-3330	167	10	dt	dt	PUNCT
ejpam-3330	168	1	dt	dt	X
ejpam-3330	168	2			NOUN
ejpam-3330	168	3	=	=	SYM
ejpam-3330	168	4	u	u	PROPN
ejpam-3330	168	5			PROPN
ejpam-3330	168	6	lim	lim	PROPN
ejpam-3330	168	7	m→∞	m→∞	NOUN
ejpam-3330	168	8	[	[	PUNCT
ejpam-3330	168	9	e−usm	e−usm	NOUN
ejpam-3330	168	10	dy(um	dy(um	NOUN
ejpam-3330	168	11	)	)	PUNCT
ejpam-3330	169	1	dt	dt	PART
ejpam-3330	170	1	−	−	PROPN
ejpam-3330	170	2	e−us×0dy(0	e−us×0dy(0	PROPN
ejpam-3330	170	3	)	)	PUNCT
ejpam-3330	170	4	dt	dt	X
ejpam-3330	170	5	]	]	PUNCT
ejpam-3330	171	1	+	+	CCONJ
ejpam-3330	171	2	s	s	X
ejpam-3330	171	3	u	u	PUNCT
ejpam-3330	171	4	∞∫	∞∫	PROPN
ejpam-3330	171	5	0	0	NUM
ejpam-3330	171	6	e−ust	e−ust	PROPN
ejpam-3330	171	7	dy(ut	dy(ut	PROPN
ejpam-3330	171	8	)	)	PUNCT
ejpam-3330	171	9	dt	dt	PUNCT
ejpam-3330	172	1	dt	dt	X
ejpam-3330	172	2			X
ejpam-3330	172	3	=	=	PUNCT
ejpam-3330	172	4	−uy′(0	−uy′(0	NOUN
ejpam-3330	172	5	)	)	PUNCT
ejpam-3330	173	1	+	+	CCONJ
ejpam-3330	173	2	us(usy	us(usy	ADJ
ejpam-3330	173	3	(	(	PUNCT
ejpam-3330	173	4	s)−	s)−	PROPN
ejpam-3330	173	5	uy(0	uy(0	PROPN
ejpam-3330	173	6	)	)	PUNCT
ejpam-3330	173	7	)	)	PUNCT
ejpam-3330	174	1	=	=	SYM
ejpam-3330	174	2	−uy′(0	−uy′(0	NOUN
ejpam-3330	174	3	)	)	PUNCT
ejpam-3330	175	1	+	+	CCONJ
ejpam-3330	175	2	u2s2y	u2s2y	NUM
ejpam-3330	175	3	(	(	PUNCT
ejpam-3330	175	4	s)−	s)−	PROPN
ejpam-3330	175	5	u2sy(0	u2sy(0	PROPN
ejpam-3330	175	6	)	)	PUNCT
ejpam-3330	175	7	g	g	NOUN
ejpam-3330	175	8	{	{	PUNCT
ejpam-3330	175	9	d2y	d2y	PROPN
ejpam-3330	175	10	dt2	dt2	PROPN
ejpam-3330	175	11	}	}	PUNCT
ejpam-3330	175	12	=	=	PUNCT
ejpam-3330	175	13	u2s2y	u2s2y	PUNCT
ejpam-3330	175	14	(	(	PUNCT
ejpam-3330	175	15	s)−	s)−	PROPN
ejpam-3330	175	16	u2sy(0)−	u2sy(0)−	NOUN
ejpam-3330	175	17	uy′(0	uy′(0	PROPN
ejpam-3330	175	18	)	)	PUNCT
ejpam-3330	175	19	considering	consider	VERB
ejpam-3330	175	20	g	g	PROPN
ejpam-3330	175	21	{	{	PUNCT
ejpam-3330	175	22	d3y	d3y	NOUN
ejpam-3330	175	23	dt3	dt3	PROPN
ejpam-3330	175	24	}	}	PUNCT
ejpam-3330	175	25	,	,	PUNCT
ejpam-3330	175	26	we	we	PRON
ejpam-3330	175	27	have	have	VERB
ejpam-3330	175	28	:	:	PUNCT
ejpam-3330	175	29	g	g	NOUN
ejpam-3330	175	30	{	{	PUNCT
ejpam-3330	175	31	d3y	d3y	NOUN
ejpam-3330	175	32	dt3	dt3	NOUN
ejpam-3330	175	33	}	}	PUNCT
ejpam-3330	175	34	=	=	SYM
ejpam-3330	175	35	u	u	PROPN
ejpam-3330	175	36	∞∫	∞∫	PROPN
ejpam-3330	175	37	0	0	NUM
ejpam-3330	175	38	e−ust	e−ust	ADJ
ejpam-3330	175	39	d3y(ut	d3y(ut	PROPN
ejpam-3330	175	40	)	)	PUNCT
ejpam-3330	175	41	dt3	dt3	NOUN
ejpam-3330	175	42	dt	dt	NOUN
ejpam-3330	175	43	g	g	PROPN
ejpam-3330	175	44	{	{	PUNCT
ejpam-3330	175	45	d3y	d3y	NOUN
ejpam-3330	175	46	dt3	dt3	NOUN
ejpam-3330	175	47	}	}	PUNCT
ejpam-3330	175	48	=	=	SYM
ejpam-3330	175	49	u	u	PROPN
ejpam-3330	175	50	lim	lim	PROPN
ejpam-3330	175	51	m→∞	m→∞	NOUN
ejpam-3330	175	52	m∫	m∫	PROPN
ejpam-3330	175	53	0	0	NUM
ejpam-3330	175	54	e−ust	e−ust	ADJ
ejpam-3330	175	55	d3y(ut	d3y(ut	PROPN
ejpam-3330	175	56	)	)	PUNCT
ejpam-3330	175	57	dt3	dt3	NOUN
ejpam-3330	175	58	dt	dt	PROPN
ejpam-3330	175	59	.	.	PUNCT
ejpam-3330	176	1	using	use	VERB
ejpam-3330	176	2	the	the	DET
ejpam-3330	176	3	integration	integration	NOUN
ejpam-3330	176	4	by	by	ADP
ejpam-3330	176	5	parts	part	NOUN
ejpam-3330	176	6	,	,	PUNCT
ejpam-3330	176	7	we	we	PRON
ejpam-3330	176	8	obatin	obatin	VERB
ejpam-3330	176	9	g	g	PROPN
ejpam-3330	176	10	{	{	PUNCT
ejpam-3330	176	11	d3y	d3y	NOUN
ejpam-3330	176	12	dt3	dt3	NOUN
ejpam-3330	176	13	}	}	PUNCT
ejpam-3330	176	14	=	=	SYM
ejpam-3330	176	15	u	u	NOUN
ejpam-3330	176	16			PROPN
ejpam-3330	176	17	lim	lim	PROPN
ejpam-3330	176	18	m→∞	m→∞	NOUN
ejpam-3330	176	19	[	[	PUNCT
ejpam-3330	176	20	e−ust	e−ust	NOUN
ejpam-3330	176	21	d2y(ut	d2y(ut	ADJ
ejpam-3330	176	22	)	)	PUNCT
ejpam-3330	176	23	dt2	dt2	NOUN
ejpam-3330	176	24	]	]	X
ejpam-3330	176	25	m	m	VERB
ejpam-3330	176	26	0	0	NUM
ejpam-3330	177	1	+	+	CCONJ
ejpam-3330	177	2	us	us	PROPN
ejpam-3330	177	3	lim	lim	PROPN
ejpam-3330	177	4	m→∞	m→∞	NOUN
ejpam-3330	177	5	m∫	m∫	ADJ
ejpam-3330	177	6	0	0	NUM
ejpam-3330	177	7	e−ust	e−ust	NOUN
ejpam-3330	177	8	d2y(ut	d2y(ut	PROPN
ejpam-3330	177	9	)	)	PUNCT
ejpam-3330	177	10	dt2	dt2	NOUN
ejpam-3330	177	11	dt	dt	X
ejpam-3330	177	12			PROPN
ejpam-3330	177	13	g	g	PROPN
ejpam-3330	177	14	{	{	PUNCT
ejpam-3330	177	15	d3y	d3y	NOUN
ejpam-3330	177	16	dt3	dt3	NOUN
ejpam-3330	177	17	}	}	PUNCT
ejpam-3330	177	18	=	=	SYM
ejpam-3330	177	19	−uy′′(0	−uy′′(0	NOUN
ejpam-3330	177	20	)	)	PUNCT
ejpam-3330	178	1	+	+	NUM
ejpam-3330	178	2	us(u2s2y	us(u2s2y	NOUN
ejpam-3330	178	3	(	(	PUNCT
ejpam-3330	178	4	s)−	s)−	PROPN
ejpam-3330	178	5	u2y(0)−	u2y(0)−	NOUN
ejpam-3330	178	6	u2sy′(0	u2sy′(0	NOUN
ejpam-3330	178	7	)	)	PUNCT
ejpam-3330	178	8	)	)	PUNCT
ejpam-3330	179	1	g	g	NOUN
ejpam-3330	179	2	{	{	PUNCT
ejpam-3330	179	3	d3y	d3y	NOUN
ejpam-3330	179	4	dt3	dt3	NOUN
ejpam-3330	179	5	}	}	PUNCT
ejpam-3330	179	6	=	=	SYM
ejpam-3330	179	7	−uy′′(0	−uy′′(0	NOUN
ejpam-3330	179	8	)	)	PUNCT
ejpam-3330	180	1	+	+	CCONJ
ejpam-3330	180	2	u3s3y	u3s3y	SYM
ejpam-3330	180	3	(	(	PUNCT
ejpam-3330	180	4	s)−	s)−	PROPN
ejpam-3330	180	5	u3s2y(0)−	u3s2y(0)−	ADJ
ejpam-3330	180	6	u2sy′(0	u2sy′(0	PROPN
ejpam-3330	180	7	)	)	PUNCT
ejpam-3330	180	8	b.	b.	PROPN
ejpam-3330	180	9	barnes	barnes	PROPN
ejpam-3330	180	10	,	,	PUNCT
ejpam-3330	180	11	c.	c.	PROPN
ejpam-3330	180	12	sebil	sebil	PROPN
ejpam-3330	180	13	,	,	PUNCT
ejpam-3330	180	14	a.	a.	NOUN
ejpam-3330	180	15	quaye	quaye	PROPN
ejpam-3330	180	16	/	/	SYM
ejpam-3330	180	17	eur	eur	PROPN
ejpam-3330	180	18	.	.	PUNCT
ejpam-3330	181	1	j.	j.	PROPN
ejpam-3330	181	2	pure	pure	PROPN
ejpam-3330	181	3	appl	appl	PROPN
ejpam-3330	181	4	.	.	PROPN
ejpam-3330	181	5	math	math	PROPN
ejpam-3330	181	6	,	,	PUNCT
ejpam-3330	181	7	11	11	NUM
ejpam-3330	181	8	(	(	PUNCT
ejpam-3330	181	9	4	4	NUM
ejpam-3330	181	10	)	)	PUNCT
ejpam-3330	181	11	(	(	PUNCT
ejpam-3330	181	12	2018	2018	NUM
ejpam-3330	181	13	)	)	PUNCT
ejpam-3330	181	14	,	,	PUNCT
ejpam-3330	181	15	1130	1130	NUM
ejpam-3330	181	16	-	-	SYM
ejpam-3330	181	17	1142	1142	NUM
ejpam-3330	181	18	1137	1137	NUM
ejpam-3330	181	19	g	g	NOUN
ejpam-3330	181	20	{	{	PUNCT
ejpam-3330	181	21	d3y	d3y	NOUN
ejpam-3330	181	22	dt3	dt3	NOUN
ejpam-3330	181	23	}	}	PUNCT
ejpam-3330	181	24	=	=	PUNCT
ejpam-3330	181	25	u3s3y	u3s3y	PRON
ejpam-3330	181	26	(	(	PUNCT
ejpam-3330	181	27	s)−	s)−	PROPN
ejpam-3330	181	28	u3s2y(0)−	u3s2y(0)−	INTJ
ejpam-3330	181	29	u2sy′(0)−	u2sy′(0)−	PROPN
ejpam-3330	181	30	uy′′(0	uy′′(0	PROPN
ejpam-3330	181	31	)	)	PUNCT
ejpam-3330	181	32	...	...	PUNCT
ejpam-3330	182	1	g	g	NOUN
ejpam-3330	182	2	{	{	PUNCT
ejpam-3330	182	3	dny	dny	PROPN
ejpam-3330	182	4	dtn	dtn	PROPN
ejpam-3330	182	5	}	}	PUNCT
ejpam-3330	182	6	=	=	PUNCT
ejpam-3330	182	7	unsny	unsny	PROPN
ejpam-3330	182	8	(	(	PUNCT
ejpam-3330	182	9	s)−	s)−	PROPN
ejpam-3330	182	10	unsn−1y(0)−	unsn−1y(0)−	PROPN
ejpam-3330	182	11	un−1sn−2y′(0)−	un−1sn−2y′(0)−	PROPN
ejpam-3330	182	12	.	.	PUNCT
ejpam-3330	182	13	.	.	PUNCT
ejpam-3330	183	1	.−	.−	PUNCT
ejpam-3330	184	1	uy(n−1)(0	uy(n−1)(0	ADV
ejpam-3330	184	2	)	)	PUNCT
ejpam-3330	184	3	corollary	corollary	ADJ
ejpam-3330	184	4	4	4	NUM
ejpam-3330	184	5	.	.	PUNCT
ejpam-3330	185	1	(	(	PUNCT
ejpam-3330	185	2	convolution	convolution	NOUN
ejpam-3330	185	3	theorem	theorem	NOUN
ejpam-3330	185	4	for	for	ADP
ejpam-3330	185	5	git	git	NOUN
ejpam-3330	185	6	)	)	PUNCT
ejpam-3330	185	7	if	if	SCONJ
ejpam-3330	185	8	f(t	f(t	NOUN
ejpam-3330	185	9	)	)	PUNCT
ejpam-3330	185	10	and	and	CCONJ
ejpam-3330	185	11	g(t	g(t	PROPN
ejpam-3330	185	12	)	)	PUNCT
ejpam-3330	185	13	are	be	AUX
ejpam-3330	185	14	piecewise	piecewise	NOUN
ejpam-3330	185	15	continuous	continuous	ADJ
ejpam-3330	185	16	on	on	ADP
ejpam-3330	185	17	[	[	X
ejpam-3330	185	18	0,∞	0,∞	NOUN
ejpam-3330	185	19	)	)	PUNCT
ejpam-3330	185	20	and	and	CCONJ
ejpam-3330	185	21	of	of	ADP
ejpam-3330	185	22	exponential	exponential	ADJ
ejpam-3330	185	23	order	order	NOUN
ejpam-3330	185	24	,	,	PUNCT
ejpam-3330	185	25	then	then	ADV
ejpam-3330	185	26	g{f	g{f	PROPN
ejpam-3330	185	27	∗	∗	VERB
ejpam-3330	185	28	g	g	NOUN
ejpam-3330	185	29	}	}	PUNCT
ejpam-3330	185	30	=	=	SYM
ejpam-3330	185	31	g1{f(t)}g2{g(t	g1{f(t)}g2{g(t	NOUN
ejpam-3330	185	32	)	)	PUNCT
ejpam-3330	185	33	}	}	PUNCT
ejpam-3330	185	34	g{f	g{f	PROPN
ejpam-3330	185	35	∗	∗	NOUN
ejpam-3330	185	36	g	g	NOUN
ejpam-3330	185	37	}	}	PUNCT
ejpam-3330	185	38	=	=	SYM
ejpam-3330	185	39	g1(s)g2(s	g1(s)g2(s	NOUN
ejpam-3330	185	40	)	)	PUNCT
ejpam-3330	185	41	.	.	PUNCT
ejpam-3330	186	1	proof	proof	NOUN
ejpam-3330	186	2	:	:	PUNCT
ejpam-3330	186	3	setting	set	VERB
ejpam-3330	186	4	g1{f(t	g1{f(t	NOUN
ejpam-3330	186	5	)	)	PUNCT
ejpam-3330	186	6	}	}	PUNCT
ejpam-3330	186	7	=	=	SYM
ejpam-3330	186	8	g1(s	g1(s	X
ejpam-3330	186	9	)	)	PUNCT
ejpam-3330	186	10	=	=	SYM
ejpam-3330	186	11	u	u	PROPN
ejpam-3330	186	12	∞∫	∞∫	PROPN
ejpam-3330	186	13	0	0	NUM
ejpam-3330	186	14	e−usεf(uε)dε	e−usεf(uε)dε	NOUN
ejpam-3330	186	15	and	and	CCONJ
ejpam-3330	186	16	g2{g(t	g2{g(t	NOUN
ejpam-3330	186	17	)	)	PUNCT
ejpam-3330	186	18	}	}	PUNCT
ejpam-3330	186	19	=	=	SYM
ejpam-3330	186	20	g2(s	g2(s	PROPN
ejpam-3330	186	21	)	)	PUNCT
ejpam-3330	186	22	=	=	SYM
ejpam-3330	186	23	u	u	PROPN
ejpam-3330	186	24	∞∫	∞∫	PROPN
ejpam-3330	186	25	0	0	NUM
ejpam-3330	186	26	e−usτg(uτ)dτ	e−usτg(uτ)dτ	PROPN
ejpam-3330	186	27	g1(s)g2(s	g1(s)g2(s	PROPN
ejpam-3330	186	28	)	)	PUNCT
ejpam-3330	186	29	=	=	SYM
ejpam-3330	186	30	u	u	PUNCT
ejpam-3330	186	31	∞∫	∞∫	NOUN
ejpam-3330	186	32	0	0	NUM
ejpam-3330	186	33	e−usεf(uε)dε	e−usεf(uε)dε	NOUN
ejpam-3330	186	34	u	u	VERB
ejpam-3330	186	35	∞∫	∞∫	PROPN
ejpam-3330	186	36	0	0	NUM
ejpam-3330	186	37	e−usτg(uτ)dτ	e−usτg(uτ)dτ	PROPN
ejpam-3330	186	38			PROPN
ejpam-3330	186	39	g1(s)g2(s	g1(s)g2(s	NOUN
ejpam-3330	186	40	)	)	PUNCT
ejpam-3330	186	41	=	=	SYM
ejpam-3330	186	42	u2	u2	PROPN
ejpam-3330	186	43	∞∫	∞∫	PROPN
ejpam-3330	186	44	0	0	NUM
ejpam-3330	187	1	∞∫	∞∫	PROPN
ejpam-3330	187	2	0	0	NUM
ejpam-3330	187	3	e−us(ε+τ)f(uε)g(uτ)dεdτ	e−us(ε+τ)f(uε)g(uτ)dεdτ	ADV
ejpam-3330	187	4	g1(s)g2(s	g1(s)g2(s	NOUN
ejpam-3330	187	5	)	)	PUNCT
ejpam-3330	188	1	=	=	SYM
ejpam-3330	188	2	u2	u2	PROPN
ejpam-3330	188	3	∞∫	∞∫	PROPN
ejpam-3330	188	4	0	0	NUM
ejpam-3330	188	5	f(uτ)dτ	f(uτ)dτ	NOUN
ejpam-3330	188	6	∞∫	∞∫	NOUN
ejpam-3330	188	7	0	0	NUM
ejpam-3330	189	1	g(uε)e−us(ε+τ)dε	g(uε)e−us(ε+τ)dε	NOUN
ejpam-3330	189	2	(	(	PUNCT
ejpam-3330	189	3	7	7	NUM
ejpam-3330	189	4	)	)	PUNCT
ejpam-3330	189	5	t	t	NOUN
ejpam-3330	189	6	=	=	SYM
ejpam-3330	189	7	ε+	ε+	X
ejpam-3330	189	8	τ	τ	X
ejpam-3330	189	9	dt	dt	X
ejpam-3330	189	10	=	=	SYM
ejpam-3330	189	11	dε	dε	NOUN
ejpam-3330	189	12	}	}	PUNCT
ejpam-3330	189	13	(	(	PUNCT
ejpam-3330	189	14	8)	8)	NUM
ejpam-3330	189	15	substituting	substitute	VERB
ejpam-3330	189	16	equation(8	equation(8	NOUN
ejpam-3330	189	17	)	)	PUNCT
ejpam-3330	189	18	into	into	ADP
ejpam-3330	189	19	equation(7	equation(7	PROPN
ejpam-3330	189	20	)	)	PUNCT
ejpam-3330	189	21	yields	yield	NOUN
ejpam-3330	189	22	g1(s)g2(s	g1(s)g2(s	NOUN
ejpam-3330	189	23	)	)	PUNCT
ejpam-3330	190	1	=	=	SYM
ejpam-3330	190	2	u2	u2	PROPN
ejpam-3330	190	3	∞∫	∞∫	PROPN
ejpam-3330	190	4	0	0	NUM
ejpam-3330	190	5	f(uτ)dτ	f(uτ)dτ	NOUN
ejpam-3330	190	6	∞∫	∞∫	PROPN
ejpam-3330	190	7	0	0	PUNCT
ejpam-3330	190	8	e−ustg(u(t−	e−ustg(u(t−	ADJ
ejpam-3330	190	9	τ))dt	τ))dt	PROPN
ejpam-3330	190	10	g1(s)g2(s	g1(s)g2(s	NOUN
ejpam-3330	190	11	)	)	PUNCT
ejpam-3330	190	12	=	=	SYM
ejpam-3330	190	13	u2	u2	PROPN
ejpam-3330	190	14	∞∫	∞∫	PROPN
ejpam-3330	190	15	0	0	PUNCT
ejpam-3330	191	1	e−ustdt	e−ustdt	PUNCT
ejpam-3330	192	1	t∫	t∫	PRON
ejpam-3330	192	2	0	0	NUM
ejpam-3330	192	3	f(uτ)g(u(t−	f(uτ)g(u(t−	ADJ
ejpam-3330	192	4	τ))dτ	τ))dτ	NOUN
ejpam-3330	192	5	=	=	SYM
ejpam-3330	192	6	u	u	PROPN
ejpam-3330	192	7	∞∫	∞∫	PROPN
ejpam-3330	192	8	0	0	NUM
ejpam-3330	192	9	e−ust	e−ust	PROPN
ejpam-3330	192	10	u	u	X
ejpam-3330	193	1	t∫	t∫	DET
ejpam-3330	193	2	0	0	NUM
ejpam-3330	193	3	f(uτ)g(u(t−	f(uτ)g(u(t−	ADJ
ejpam-3330	193	4	τ))dτ	τ))dτ	NOUN
ejpam-3330	193	5			NOUN
ejpam-3330	193	6	dt	dt	CCONJ
ejpam-3330	193	7	g1(s)g2(s	g1(s)g2(s	NOUN
ejpam-3330	193	8	)	)	PUNCT
ejpam-3330	194	1	=	=	SYM
ejpam-3330	194	2	g{f	g{f	NOUN
ejpam-3330	194	3	∗	∗	NOUN
ejpam-3330	194	4	g	g	NOUN
ejpam-3330	194	5	}	}	PUNCT
ejpam-3330	194	6	.	.	PUNCT
ejpam-3330	195	1	corollary	corollary	ADJ
ejpam-3330	195	2	5	5	NUM
ejpam-3330	195	3	.	.	PUNCT
ejpam-3330	196	1	(	(	PUNCT
ejpam-3330	196	2	commutativity	commutativity	NOUN
ejpam-3330	196	3	of	of	ADP
ejpam-3330	196	4	two	two	NUM
ejpam-3330	196	5	functions	function	NOUN
ejpam-3330	196	6	using	use	VERB
ejpam-3330	196	7	the	the	DET
ejpam-3330	196	8	git	git	NOUN
ejpam-3330	196	9	)	)	PUNCT
ejpam-3330	196	10	the	the	DET
ejpam-3330	196	11	convolution	convolution	NOUN
ejpam-3330	196	12	of	of	ADP
ejpam-3330	196	13	functions	function	NOUN
ejpam-3330	196	14	f(t	f(t	NOUN
ejpam-3330	196	15	)	)	PUNCT
ejpam-3330	196	16	and	and	CCONJ
ejpam-3330	196	17	g(t	g(t	PROPN
ejpam-3330	196	18	)	)	PUNCT
ejpam-3330	196	19	commute	commute	NOUN
ejpam-3330	196	20	.	.	PUNCT
ejpam-3330	197	1	b.	b.	PROPN
ejpam-3330	197	2	barnes	barnes	PROPN
ejpam-3330	197	3	,	,	PUNCT
ejpam-3330	197	4	c.	c.	PROPN
ejpam-3330	197	5	sebil	sebil	PROPN
ejpam-3330	197	6	,	,	PUNCT
ejpam-3330	197	7	a.	a.	NOUN
ejpam-3330	197	8	quaye	quaye	PROPN
ejpam-3330	197	9	/	/	SYM
ejpam-3330	197	10	eur	eur	PROPN
ejpam-3330	197	11	.	.	PUNCT
ejpam-3330	198	1	j.	j.	PROPN
ejpam-3330	198	2	pure	pure	PROPN
ejpam-3330	198	3	appl	appl	PROPN
ejpam-3330	198	4	.	.	PROPN
ejpam-3330	198	5	math	math	PROPN
ejpam-3330	198	6	,	,	PUNCT
ejpam-3330	198	7	11	11	NUM
ejpam-3330	198	8	(	(	PUNCT
ejpam-3330	198	9	4	4	NUM
ejpam-3330	198	10	)	)	PUNCT
ejpam-3330	198	11	(	(	PUNCT
ejpam-3330	198	12	2018	2018	NUM
ejpam-3330	198	13	)	)	PUNCT
ejpam-3330	198	14	,	,	PUNCT
ejpam-3330	198	15	1130	1130	NUM
ejpam-3330	198	16	-	-	SYM
ejpam-3330	198	17	1142	1142	NUM
ejpam-3330	198	18	1138	1138	NUM
ejpam-3330	198	19	proof	proof	NOUN
ejpam-3330	198	20	:	:	PUNCT
ejpam-3330	198	21	by	by	ADP
ejpam-3330	198	22	the	the	DET
ejpam-3330	198	23	convolution	convolution	NOUN
ejpam-3330	198	24	of	of	ADP
ejpam-3330	198	25	f(t	f(t	PROPN
ejpam-3330	198	26	)	)	PUNCT
ejpam-3330	198	27	and	and	CCONJ
ejpam-3330	198	28	g(t	g(t	PROPN
ejpam-3330	198	29	)	)	PUNCT
ejpam-3330	198	30	,	,	PUNCT
ejpam-3330	198	31	we	we	PRON
ejpam-3330	198	32	have	have	VERB
ejpam-3330	198	33	:	:	PUNCT
ejpam-3330	198	34	f(t	f(t	PROPN
ejpam-3330	198	35	)	)	PUNCT
ejpam-3330	198	36	∗	∗	NOUN
ejpam-3330	198	37	g(t	g(t	PROPN
ejpam-3330	198	38	)	)	PUNCT
ejpam-3330	199	1	=	=	SYM
ejpam-3330	199	2	u	u	NOUN
ejpam-3330	199	3	∫	∫	PROPN
ejpam-3330	199	4	∞	∞	PROPN
ejpam-3330	199	5	0	0	NUM
ejpam-3330	200	1	f(uτ)g(u(t−	f(uτ)g(u(t−	PROPN
ejpam-3330	200	2	τ))e−ustdτ	τ))e−ustdτ	PROPN
ejpam-3330	200	3	,	,	PUNCT
ejpam-3330	200	4	(	(	PUNCT
ejpam-3330	200	5	9	9	X
ejpam-3330	200	6	)	)	PUNCT
ejpam-3330	200	7	setting	set	VERB
ejpam-3330	200	8	t−	t−	PROPN
ejpam-3330	200	9	τ	τ	PROPN
ejpam-3330	200	10	=	=	SYM
ejpam-3330	200	11	v	v	PROPN
ejpam-3330	200	12	dτ	dτ	NOUN
ejpam-3330	200	13	=	=	PROPN
ejpam-3330	200	14	−dv	−dv	PROPN
ejpam-3330	200	15	.	.	PUNCT
ejpam-3330	200	16	}	}	PUNCT
ejpam-3330	200	17	(	(	PUNCT
ejpam-3330	200	18	10	10	NUM
ejpam-3330	200	19	)	)	PUNCT
ejpam-3330	200	20	substituting	substitute	VERB
ejpam-3330	200	21	equation(10	equation(10	NOUN
ejpam-3330	200	22	)	)	PUNCT
ejpam-3330	200	23	into	into	ADP
ejpam-3330	200	24	equation(9	equation(9	NOUN
ejpam-3330	200	25	)	)	PUNCT
ejpam-3330	200	26	yields	yield	NOUN
ejpam-3330	200	27	f(t	f(t	NOUN
ejpam-3330	200	28	)	)	PUNCT
ejpam-3330	200	29	∗	∗	NOUN
ejpam-3330	200	30	g(t	g(t	PROPN
ejpam-3330	200	31	)	)	PUNCT
ejpam-3330	201	1	=	=	SYM
ejpam-3330	201	2	−u	−u	PROPN
ejpam-3330	201	3	∫	∫	PROPN
ejpam-3330	202	1	−∞	−∞	ADP
ejpam-3330	202	2	t	t	PROPN
ejpam-3330	202	3	f(u(t−	f(u(t−	NUM
ejpam-3330	202	4	v))g(uv)e−us(t−v)dv	v))g(uv)e−us(t−v)dv	PROPN
ejpam-3330	202	5	f(t	f(t	PROPN
ejpam-3330	202	6	)	)	PUNCT
ejpam-3330	202	7	∗	∗	NOUN
ejpam-3330	202	8	g(t	g(t	PROPN
ejpam-3330	202	9	)	)	PUNCT
ejpam-3330	203	1	=	=	SYM
ejpam-3330	203	2	u	u	NOUN
ejpam-3330	203	3	∫	∫	PROPN
ejpam-3330	203	4	∞	∞	PROPN
ejpam-3330	203	5	0	0	NUM
ejpam-3330	204	1	g(uv)f(u(t−	g(uv)f(u(t−	PROPN
ejpam-3330	204	2	v))e−usvdv	v))e−usvdv	PROPN
ejpam-3330	204	3	f(t	f(t	PROPN
ejpam-3330	204	4	)	)	PUNCT
ejpam-3330	204	5	∗	∗	NOUN
ejpam-3330	204	6	g(t	g(t	PROPN
ejpam-3330	204	7	)	)	PUNCT
ejpam-3330	204	8	=	=	SYM
ejpam-3330	204	9	g(t	g(t	PROPN
ejpam-3330	204	10	)	)	PUNCT
ejpam-3330	204	11	∗	∗	NOUN
ejpam-3330	204	12	f(t	f(t	PROPN
ejpam-3330	204	13	)	)	PUNCT
ejpam-3330	204	14	this	this	PRON
ejpam-3330	204	15	completes	complete	VERB
ejpam-3330	204	16	the	the	DET
ejpam-3330	204	17	prove	prove	NOUN
ejpam-3330	204	18	.	.	PUNCT
ejpam-3330	205	1	2.5	2.5	NUM
ejpam-3330	205	2	.	.	PUNCT
ejpam-3330	205	3	illustration	illustration	NOUN
ejpam-3330	205	4	of	of	ADP
ejpam-3330	205	5	the	the	DET
ejpam-3330	205	6	git	git	NOUN
ejpam-3330	205	7	in	in	ADP
ejpam-3330	205	8	this	this	DET
ejpam-3330	205	9	section	section	NOUN
ejpam-3330	205	10	,	,	PUNCT
ejpam-3330	205	11	we	we	PRON
ejpam-3330	205	12	show	show	VERB
ejpam-3330	205	13	some	some	PRON
ejpam-3330	205	14	of	of	ADP
ejpam-3330	205	15	the	the	DET
ejpam-3330	205	16	areas	area	NOUN
ejpam-3330	205	17	where	where	SCONJ
ejpam-3330	205	18	git	git	NOUN
ejpam-3330	205	19	can	can	AUX
ejpam-3330	205	20	be	be	AUX
ejpam-3330	205	21	used	use	VERB
ejpam-3330	205	22	to	to	PART
ejpam-3330	205	23	solve	solve	VERB
ejpam-3330	205	24	problems	problem	NOUN
ejpam-3330	205	25	.	.	PUNCT
ejpam-3330	206	1	example	example	NOUN
ejpam-3330	207	1	1	1	NUM
ejpam-3330	207	2	.	.	X
ejpam-3330	207	3	dy	dy	NOUN
ejpam-3330	207	4	dt	dt	PROPN
ejpam-3330	208	1	+	+	CCONJ
ejpam-3330	208	2	3y(t	3y(t	NUM
ejpam-3330	208	3	)	)	PUNCT
ejpam-3330	209	1	=	=	SYM
ejpam-3330	209	2	2	2	NUM
ejpam-3330	209	3	,	,	PUNCT
ejpam-3330	209	4	y(0	y(0	PROPN
ejpam-3330	209	5	)	)	PUNCT
ejpam-3330	209	6	=	=	SYM
ejpam-3330	209	7	0	0	PUNCT
ejpam-3330	209	8	taking	take	VERB
ejpam-3330	209	9	the	the	DET
ejpam-3330	209	10	git	git	NOUN
ejpam-3330	209	11	of	of	ADP
ejpam-3330	209	12	both	both	DET
ejpam-3330	209	13	sides	side	NOUN
ejpam-3330	209	14	,	,	PUNCT
ejpam-3330	209	15	g	g	NOUN
ejpam-3330	209	16	{	{	PUNCT
ejpam-3330	209	17	dy	dy	NOUN
ejpam-3330	209	18	dt	dt	NOUN
ejpam-3330	209	19	+	+	CCONJ
ejpam-3330	209	20	3y(t	3y(t	NUM
ejpam-3330	209	21	)	)	PUNCT
ejpam-3330	209	22	}	}	PUNCT
ejpam-3330	209	23	=	=	SYM
ejpam-3330	209	24	g{2	g{2	PROPN
ejpam-3330	209	25	}	}	PUNCT
ejpam-3330	209	26	g	g	NOUN
ejpam-3330	209	27	{	{	PUNCT
ejpam-3330	209	28	dy	dy	NOUN
ejpam-3330	209	29	dt	dt	X
ejpam-3330	209	30	}	}	PUNCT
ejpam-3330	209	31	+	+	ADJ
ejpam-3330	209	32	g{3y(t	g{3y(t	NOUN
ejpam-3330	209	33	)	)	PUNCT
ejpam-3330	209	34	}	}	PUNCT
ejpam-3330	209	35	=	=	SYM
ejpam-3330	209	36	g{2	g{2	PROPN
ejpam-3330	209	37	}	}	PUNCT
ejpam-3330	209	38	usg(s)−	usg(s)−	PROPN
ejpam-3330	209	39	uy(0	uy(0	PROPN
ejpam-3330	209	40	)	)	PUNCT
ejpam-3330	209	41	+	+	NUM
ejpam-3330	209	42	3g(s	3g(s	NUM
ejpam-3330	209	43	)	)	PUNCT
ejpam-3330	210	1	=	=	SYM
ejpam-3330	210	2	2	2	NUM
ejpam-3330	210	3	s	s	NOUN
ejpam-3330	210	4	usg(s	usg(s	NOUN
ejpam-3330	210	5	)	)	PUNCT
ejpam-3330	211	1	+	+	NUM
ejpam-3330	211	2	3g(s	3g(s	NUM
ejpam-3330	211	3	)	)	PUNCT
ejpam-3330	212	1	=	=	SYM
ejpam-3330	212	2	2	2	NUM
ejpam-3330	212	3	s	s	NOUN
ejpam-3330	212	4	+	+	CCONJ
ejpam-3330	212	5	uy(0	uy(0	PROPN
ejpam-3330	212	6	)	)	PUNCT
ejpam-3330	212	7	g(s	g(s	NOUN
ejpam-3330	212	8	)	)	PUNCT
ejpam-3330	212	9	=	=	SYM
ejpam-3330	212	10	2	2	NUM
ejpam-3330	212	11	s(us+	s(us+	NOUN
ejpam-3330	212	12	3	3	NUM
ejpam-3330	212	13	)	)	PUNCT
ejpam-3330	212	14	g(s	g(s	NOUN
ejpam-3330	212	15	)	)	PUNCT
ejpam-3330	212	16	=	=	PUNCT
ejpam-3330	212	17	2	2	NUM
ejpam-3330	212	18	3s	3s	NUM
ejpam-3330	212	19	−	−	NOUN
ejpam-3330	212	20	2	2	NUM
ejpam-3330	212	21	3(us+	3(us+	NUM
ejpam-3330	212	22	3	3	NUM
ejpam-3330	212	23	)	)	PUNCT
ejpam-3330	212	24	.	.	PUNCT
ejpam-3330	213	1	taking	take	VERB
ejpam-3330	213	2	the	the	DET
ejpam-3330	213	3	inverse	inverse	ADJ
ejpam-3330	213	4	git	git	NOUN
ejpam-3330	213	5	of	of	ADP
ejpam-3330	213	6	both	both	DET
ejpam-3330	213	7	sides	side	NOUN
ejpam-3330	213	8	of	of	ADP
ejpam-3330	213	9	the	the	DET
ejpam-3330	213	10	above	above	ADJ
ejpam-3330	213	11	equation	equation	NOUN
ejpam-3330	213	12	yields	yield	NOUN
ejpam-3330	213	13	g−1{g(s	g−1{g(s	NOUN
ejpam-3330	213	14	)	)	PUNCT
ejpam-3330	213	15	}	}	PUNCT
ejpam-3330	214	1	=	=	SYM
ejpam-3330	214	2	g−1	g−1	X
ejpam-3330	214	3	{	{	PUNCT
ejpam-3330	214	4	2	2	NUM
ejpam-3330	214	5	3s	3s	NUM
ejpam-3330	214	6	−	−	NOUN
ejpam-3330	214	7	2	2	NUM
ejpam-3330	214	8	3(us+	3(us+	NUM
ejpam-3330	214	9	3	3	NUM
ejpam-3330	214	10	)	)	PUNCT
ejpam-3330	214	11	}	}	PUNCT
ejpam-3330	214	12	.	.	PUNCT
ejpam-3330	215	1	b.	b.	PROPN
ejpam-3330	215	2	barnes	barnes	PROPN
ejpam-3330	215	3	,	,	PUNCT
ejpam-3330	215	4	c.	c.	PROPN
ejpam-3330	215	5	sebil	sebil	PROPN
ejpam-3330	215	6	,	,	PUNCT
ejpam-3330	215	7	a.	a.	NOUN
ejpam-3330	215	8	quaye	quaye	PROPN
ejpam-3330	215	9	/	/	SYM
ejpam-3330	215	10	eur	eur	PROPN
ejpam-3330	215	11	.	.	PUNCT
ejpam-3330	216	1	j.	j.	PROPN
ejpam-3330	216	2	pure	pure	PROPN
ejpam-3330	216	3	appl	appl	PROPN
ejpam-3330	216	4	.	.	PROPN
ejpam-3330	216	5	math	math	PROPN
ejpam-3330	216	6	,	,	PUNCT
ejpam-3330	216	7	11	11	NUM
ejpam-3330	216	8	(	(	PUNCT
ejpam-3330	216	9	4	4	NUM
ejpam-3330	216	10	)	)	PUNCT
ejpam-3330	216	11	(	(	PUNCT
ejpam-3330	216	12	2018	2018	NUM
ejpam-3330	216	13	)	)	PUNCT
ejpam-3330	216	14	,	,	PUNCT
ejpam-3330	216	15	1130	1130	NUM
ejpam-3330	216	16	-	-	SYM
ejpam-3330	216	17	1142	1142	NUM
ejpam-3330	216	18	1139	1139	NUM
ejpam-3330	216	19	by	by	ADP
ejpam-3330	216	20	the	the	DET
ejpam-3330	216	21	linearity	linearity	NOUN
ejpam-3330	216	22	of	of	ADP
ejpam-3330	216	23	the	the	DET
ejpam-3330	216	24	inverse	inverse	NOUN
ejpam-3330	216	25	git	git	NOUN
ejpam-3330	216	26	,	,	PUNCT
ejpam-3330	216	27	we	we	PRON
ejpam-3330	216	28	get	get	VERB
ejpam-3330	216	29	y(t	y(t	NUM
ejpam-3330	216	30	)	)	PUNCT
ejpam-3330	217	1	=	=	PUNCT
ejpam-3330	217	2	g−1	g−1	X
ejpam-3330	217	3	{	{	PUNCT
ejpam-3330	217	4	2	2	NUM
ejpam-3330	217	5	3s	3s	NUM
ejpam-3330	217	6	}	}	PUNCT
ejpam-3330	217	7	−g−1	−g−1	X
ejpam-3330	217	8	{	{	PUNCT
ejpam-3330	217	9	2	2	NUM
ejpam-3330	217	10	3(us+	3(us+	NUM
ejpam-3330	217	11	3	3	NUM
ejpam-3330	217	12	)	)	PUNCT
ejpam-3330	217	13	}	}	PUNCT
ejpam-3330	217	14	y(t	y(t	NUM
ejpam-3330	217	15	)	)	PUNCT
ejpam-3330	217	16	=	=	SYM
ejpam-3330	217	17	2	2	NUM
ejpam-3330	217	18	3	3	NUM
ejpam-3330	217	19	(	(	PUNCT
ejpam-3330	217	20	1−	1−	NUM
ejpam-3330	217	21	e−3	e−3	PROPN
ejpam-3330	217	22	t	t	NOUN
ejpam-3330	217	23	)	)	PUNCT
ejpam-3330	217	24	example	example	NOUN
ejpam-3330	218	1	2	2	NUM
ejpam-3330	218	2	.	.	PUNCT
ejpam-3330	218	3	y′′(t	y′′(t	VERB
ejpam-3330	218	4	)	)	PUNCT
ejpam-3330	219	1	+	+	CCONJ
ejpam-3330	219	2	16y(t	16y(t	NUM
ejpam-3330	219	3	)	)	PUNCT
ejpam-3330	219	4	=	=	PUNCT
ejpam-3330	219	5	cos(4	cos(4	NOUN
ejpam-3330	219	6	t	t	NOUN
ejpam-3330	219	7	)	)	PUNCT
ejpam-3330	219	8	,	,	PUNCT
ejpam-3330	219	9	y(0	y(0	PROPN
ejpam-3330	219	10	)	)	PUNCT
ejpam-3330	219	11	=	=	SYM
ejpam-3330	219	12	0	0	NUM
ejpam-3330	219	13	,	,	PUNCT
ejpam-3330	219	14	y′(0	y′(0	NOUN
ejpam-3330	219	15	)	)	PUNCT
ejpam-3330	219	16	=	=	SYM
ejpam-3330	219	17	1	1	X
ejpam-3330	219	18	.	.	PUNCT
ejpam-3330	219	19	taking	take	VERB
ejpam-3330	219	20	the	the	DET
ejpam-3330	219	21	git	git	NOUN
ejpam-3330	219	22	of	of	ADP
ejpam-3330	219	23	both	both	DET
ejpam-3330	219	24	sides	side	NOUN
ejpam-3330	219	25	,	,	PUNCT
ejpam-3330	219	26	we	we	PRON
ejpam-3330	219	27	get	get	VERB
ejpam-3330	219	28	g	g	NOUN
ejpam-3330	219	29	{	{	PUNCT
ejpam-3330	219	30	y′′	y′′	PROPN
ejpam-3330	219	31	+	+	CCONJ
ejpam-3330	219	32	16y	16y	NOUN
ejpam-3330	219	33	}	}	PUNCT
ejpam-3330	219	34	=	=	PUNCT
ejpam-3330	219	35	g{cos(4	g{cos(4	PROPN
ejpam-3330	219	36	t	t	PROPN
ejpam-3330	219	37	)	)	PUNCT
ejpam-3330	219	38	}	}	PUNCT
ejpam-3330	219	39	g	g	NOUN
ejpam-3330	219	40	{	{	PUNCT
ejpam-3330	219	41	y′′	y′′	PROPN
ejpam-3330	219	42	}	}	PUNCT
ejpam-3330	219	43	+	+	CCONJ
ejpam-3330	220	1	16g{y	16g{y	NUM
ejpam-3330	220	2	}	}	PUNCT
ejpam-3330	220	3	=	=	PUNCT
ejpam-3330	220	4	g{cos(4	g{cos(4	PROPN
ejpam-3330	220	5	t	t	PROPN
ejpam-3330	220	6	)	)	PUNCT
ejpam-3330	220	7	}	}	PUNCT
ejpam-3330	220	8	u2s2y	u2s2y	NUM
ejpam-3330	220	9	(	(	PUNCT
ejpam-3330	220	10	s)−	s)−	PROPN
ejpam-3330	220	11	u2sy(0)−	u2sy(0)−	NOUN
ejpam-3330	220	12	uy′(0	uy′(0	PROPN
ejpam-3330	220	13	)	)	PUNCT
ejpam-3330	221	1	+	+	NUM
ejpam-3330	221	2	16y	16y	NUM
ejpam-3330	221	3	(	(	PUNCT
ejpam-3330	221	4	s	s	X
ejpam-3330	221	5	)	)	PUNCT
ejpam-3330	221	6	=	=	SYM
ejpam-3330	221	7	s	s	PART
ejpam-3330	221	8	s2	s2	NOUN
ejpam-3330	221	9	+	+	CCONJ
ejpam-3330	221	10	16	16	NUM
ejpam-3330	221	11	y	y	PROPN
ejpam-3330	221	12	(	(	PUNCT
ejpam-3330	221	13	s	s	NOUN
ejpam-3330	221	14	)	)	PUNCT
ejpam-3330	221	15	=	=	SYM
ejpam-3330	222	1	us2	us2	PROPN
ejpam-3330	223	1	+	+	CCONJ
ejpam-3330	223	2	s+	s+	NUM
ejpam-3330	223	3	16	16	NUM
ejpam-3330	223	4	(	(	PUNCT
ejpam-3330	223	5	s2	s2	NOUN
ejpam-3330	223	6	+	+	CCONJ
ejpam-3330	223	7	16)(u2s2	16)(u2s2	NUM
ejpam-3330	223	8	+	+	CCONJ
ejpam-3330	223	9	16	16	NUM
ejpam-3330	223	10	)	)	PUNCT
ejpam-3330	223	11	.	.	PUNCT
ejpam-3330	224	1	taking	take	VERB
ejpam-3330	224	2	the	the	DET
ejpam-3330	224	3	inverse	inverse	NOUN
ejpam-3330	224	4	generalized	generalize	VERB
ejpam-3330	224	5	integral	integral	ADJ
ejpam-3330	224	6	transform	transform	NOUN
ejpam-3330	224	7	of	of	ADP
ejpam-3330	224	8	both	both	DET
ejpam-3330	224	9	sides	side	NOUN
ejpam-3330	224	10	of	of	ADP
ejpam-3330	224	11	the	the	DET
ejpam-3330	224	12	above	above	ADJ
ejpam-3330	224	13	equation	equation	NOUN
ejpam-3330	224	14	yields	yield	NOUN
ejpam-3330	225	1	g−1{y	g−1{y	ADV
ejpam-3330	225	2	(	(	PUNCT
ejpam-3330	225	3	s	s	NOUN
ejpam-3330	225	4	)	)	PUNCT
ejpam-3330	225	5	}	}	PUNCT
ejpam-3330	225	6	=	=	SYM
ejpam-3330	225	7	g−1	g−1	X
ejpam-3330	225	8	{	{	PUNCT
ejpam-3330	225	9	us2	us2	PROPN
ejpam-3330	225	10	+	+	CCONJ
ejpam-3330	225	11	s+	s+	NUM
ejpam-3330	225	12	16	16	NUM
ejpam-3330	225	13	(	(	PUNCT
ejpam-3330	225	14	s2	s2	NOUN
ejpam-3330	225	15	+	+	CCONJ
ejpam-3330	225	16	16)(u2s2	16)(u2s2	NUM
ejpam-3330	225	17	+	+	CCONJ
ejpam-3330	225	18	16	16	NUM
ejpam-3330	225	19	)	)	PUNCT
ejpam-3330	225	20	}	}	PUNCT
ejpam-3330	225	21	y(t	y(t	NUM
ejpam-3330	225	22	)	)	PUNCT
ejpam-3330	225	23	=	=	SYM
ejpam-3330	226	1	1	1	NUM
ejpam-3330	226	2	4	4	NUM
ejpam-3330	226	3	sin(4	sin(4	NOUN
ejpam-3330	226	4	t	t	NOUN
ejpam-3330	226	5	)	)	PUNCT
ejpam-3330	227	1	+	+	CCONJ
ejpam-3330	227	2	1	1	NUM
ejpam-3330	227	3	8	8	NUM
ejpam-3330	227	4	t	t	NOUN
ejpam-3330	227	5	sin(4	sin(4	NOUN
ejpam-3330	227	6	t	t	PROPN
ejpam-3330	227	7	)	)	PUNCT
ejpam-3330	227	8	example	example	NOUN
ejpam-3330	227	9	3	3	NUM
ejpam-3330	227	10	.	.	PUNCT
ejpam-3330	228	1	e(t	e(t	NOUN
ejpam-3330	228	2	)	)	PUNCT
ejpam-3330	229	1	=	=	SYM
ejpam-3330	229	2	l	l	NOUN
ejpam-3330	229	3	di	di	X
ejpam-3330	229	4	dt	dt	X
ejpam-3330	229	5	+	+	NOUN
ejpam-3330	229	6	ri(t	ri(t	NOUN
ejpam-3330	229	7	)	)	PUNCT
ejpam-3330	230	1	+	+	CCONJ
ejpam-3330	230	2	1	1	NUM
ejpam-3330	230	3	c	c	NOUN
ejpam-3330	230	4	t∫	t∫	PRON
ejpam-3330	230	5	0	0	NUM
ejpam-3330	231	1	i(τ)dτ	i(τ)dτ	PROPN
ejpam-3330	232	1	(	(	PUNCT
ejpam-3330	232	2	1	1	X
ejpam-3330	232	3	)	)	PUNCT
ejpam-3330	232	4	setting	set	VERB
ejpam-3330	232	5	l	l	NOUN
ejpam-3330	232	6	=	=	SYM
ejpam-3330	232	7	0.1h	0.1h	NUM
ejpam-3330	232	8	,	,	PUNCT
ejpam-3330	232	9	r	r	NOUN
ejpam-3330	232	10	=	=	SYM
ejpam-3330	232	11	2	2	NUM
ejpam-3330	232	12	,	,	PUNCT
ejpam-3330	232	13	c	c	NOUN
ejpam-3330	232	14	=	=	SYM
ejpam-3330	232	15	0	0	X
ejpam-3330	232	16	.	.	PUNCT
ejpam-3330	233	1	if	if	SCONJ
ejpam-3330	233	2	,	,	PUNCT
ejpam-3330	233	3	e(t	e(t	PROPN
ejpam-3330	233	4	)	)	PUNCT
ejpam-3330	233	5	=	=	PUNCT
ejpam-3330	234	1	120t−	120t−	NUM
ejpam-3330	234	2	120φ(t−	120φ(t−	NUM
ejpam-3330	234	3	1	1	NUM
ejpam-3330	234	4	)	)	PUNCT
ejpam-3330	234	5	,	,	PUNCT
ejpam-3330	234	6	i(0	i(0	PROPN
ejpam-3330	234	7	)	)	PUNCT
ejpam-3330	234	8	=	=	SYM
ejpam-3330	235	1	0	0	NUM
ejpam-3330	235	2	,	,	PUNCT
ejpam-3330	235	3	we	we	PRON
ejpam-3330	235	4	obtain	obtain	VERB
ejpam-3330	235	5	0.1	0.1	NUM
ejpam-3330	235	6	di	di	NOUN
ejpam-3330	235	7	dt	dt	NOUN
ejpam-3330	235	8	+	+	CCONJ
ejpam-3330	235	9	2i(t	2i(t	NUM
ejpam-3330	235	10	)	)	PUNCT
ejpam-3330	236	1	+	+	CCONJ
ejpam-3330	237	1	1	1	NUM
ejpam-3330	237	2	0.1	0.1	NUM
ejpam-3330	237	3	t∫	t∫	NUM
ejpam-3330	237	4	0	0	NUM
ejpam-3330	237	5	i(τ)dτ	i(τ)dτ	PROPN
ejpam-3330	237	6	=	=	NOUN
ejpam-3330	237	7	120t−	120t−	NUM
ejpam-3330	237	8	120φ(t−	120φ(t−	NUM
ejpam-3330	237	9	1	1	NUM
ejpam-3330	237	10	)	)	PUNCT
ejpam-3330	237	11	=	=	NOUN
ejpam-3330	237	12	⇒	⇒	NOUN
ejpam-3330	237	13	0.1	0.1	NUM
ejpam-3330	237	14	di	di	NOUN
ejpam-3330	237	15	dt	dt	NOUN
ejpam-3330	237	16	+	+	CCONJ
ejpam-3330	237	17	2i(t	2i(t	NUM
ejpam-3330	237	18	)	)	PUNCT
ejpam-3330	238	1	+	+	CCONJ
ejpam-3330	238	2	10	10	NUM
ejpam-3330	238	3	t∫	t∫	NUM
ejpam-3330	238	4	0	0	NUM
ejpam-3330	238	5	i(τ)dτ	i(τ)dτ	PROPN
ejpam-3330	238	6	=	=	NOUN
ejpam-3330	238	7	120t−	120t−	NUM
ejpam-3330	238	8	120φ(t−	120φ(t−	NUM
ejpam-3330	238	9	1	1	NUM
ejpam-3330	238	10	)	)	PUNCT
ejpam-3330	238	11	(	(	PUNCT
ejpam-3330	238	12	2	2	X
ejpam-3330	238	13	)	)	PUNCT
ejpam-3330	238	14	finding	find	VERB
ejpam-3330	238	15	the	the	DET
ejpam-3330	238	16	git	git	NOUN
ejpam-3330	238	17	of	of	ADP
ejpam-3330	238	18	the	the	DET
ejpam-3330	238	19	terms	term	NOUN
ejpam-3330	238	20	on	on	ADP
ejpam-3330	238	21	both	both	DET
ejpam-3330	238	22	sides	side	NOUN
ejpam-3330	238	23	of	of	ADP
ejpam-3330	238	24	the	the	DET
ejpam-3330	238	25	above	above	ADJ
ejpam-3330	238	26	equation	equation	NOUN
ejpam-3330	238	27	yields	yield	VERB
ejpam-3330	238	28	g	g	PROPN
ejpam-3330	238	29	0.1	0.1	PROPN
ejpam-3330	238	30	di	di	X
ejpam-3330	238	31	dt	dt	NOUN
ejpam-3330	238	32	+	+	CCONJ
ejpam-3330	238	33	2i(t	2i(t	NUM
ejpam-3330	238	34	)	)	PUNCT
ejpam-3330	239	1	+	+	CCONJ
ejpam-3330	240	1	1	1	NUM
ejpam-3330	240	2	0.1	0.1	NUM
ejpam-3330	240	3	t∫	t∫	NUM
ejpam-3330	240	4	0	0	NUM
ejpam-3330	240	5	i(τ)dτ	i(τ)dτ	PROPN
ejpam-3330	240	6	=	=	NOUN
ejpam-3330	240	7	120t−	120t−	NUM
ejpam-3330	240	8	120φ(t−	120φ(t−	NUM
ejpam-3330	240	9	1	1	NUM
ejpam-3330	240	10	)	)	PUNCT
ejpam-3330	240	11			NOUN
ejpam-3330	240	12	=	=	PUNCT
ejpam-3330	240	13	g{120t−	g{120t−	VERB
ejpam-3330	240	14	120φ(t−	120φ(t−	PROPN
ejpam-3330	240	15	1	1	NUM
ejpam-3330	240	16	)	)	PUNCT
ejpam-3330	240	17	}	}	PUNCT
ejpam-3330	240	18	b.	b.	PROPN
ejpam-3330	240	19	barnes	barnes	PROPN
ejpam-3330	240	20	,	,	PUNCT
ejpam-3330	240	21	c.	c.	PROPN
ejpam-3330	240	22	sebil	sebil	PROPN
ejpam-3330	240	23	,	,	PUNCT
ejpam-3330	240	24	a.	a.	NOUN
ejpam-3330	240	25	quaye	quaye	PROPN
ejpam-3330	240	26	/	/	SYM
ejpam-3330	240	27	eur	eur	PROPN
ejpam-3330	240	28	.	.	PUNCT
ejpam-3330	241	1	j.	j.	PROPN
ejpam-3330	241	2	pure	pure	PROPN
ejpam-3330	241	3	appl	appl	PROPN
ejpam-3330	241	4	.	.	PROPN
ejpam-3330	241	5	math	math	PROPN
ejpam-3330	241	6	,	,	PUNCT
ejpam-3330	241	7	11	11	NUM
ejpam-3330	241	8	(	(	PUNCT
ejpam-3330	241	9	4	4	NUM
ejpam-3330	241	10	)	)	PUNCT
ejpam-3330	241	11	(	(	PUNCT
ejpam-3330	241	12	2018	2018	NUM
ejpam-3330	241	13	)	)	PUNCT
ejpam-3330	241	14	,	,	PUNCT
ejpam-3330	241	15	1130	1130	NUM
ejpam-3330	241	16	-	-	SYM
ejpam-3330	241	17	1142	1142	NUM
ejpam-3330	241	18	1140	1140	NUM
ejpam-3330	241	19	by	by	ADP
ejpam-3330	241	20	the	the	DET
ejpam-3330	241	21	linearly	linearly	ADJ
ejpam-3330	241	22	property	property	NOUN
ejpam-3330	241	23	of	of	ADP
ejpam-3330	241	24	git	git	NOUN
ejpam-3330	241	25	,	,	PUNCT
ejpam-3330	241	26	we	we	PRON
ejpam-3330	241	27	get	get	VERB
ejpam-3330	241	28	0.1	0.1	NUM
ejpam-3330	241	29	g	g	NOUN
ejpam-3330	241	30	{	{	PUNCT
ejpam-3330	241	31	di	di	NOUN
ejpam-3330	241	32	dt	dt	NOUN
ejpam-3330	241	33	}	}	PUNCT
ejpam-3330	241	34	+	+	CCONJ
ejpam-3330	241	35	2g{i(t)}+	2g{i(t)}+	NUM
ejpam-3330	241	36	10	10	NUM
ejpam-3330	241	37	g	g	NOUN
ejpam-3330	241	38			PUNCT
ejpam-3330	241	39	t∫	t∫	PROPN
ejpam-3330	241	40	0	0	NUM
ejpam-3330	241	41	i(τ)dτ	i(τ)dτ	PROPN
ejpam-3330	242	1			NOUN
ejpam-3330	242	2	=	=	SYM
ejpam-3330	242	3	120g{t	120g{t	NUM
ejpam-3330	242	4	}	}	PUNCT
ejpam-3330	242	5	−	−	PROPN
ejpam-3330	243	1	120g{tφ(t−	120g{tφ(t−	NUM
ejpam-3330	243	2	1	1	NUM
ejpam-3330	243	3	)	)	PUNCT
ejpam-3330	243	4	}	}	PUNCT
ejpam-3330	244	1	=	=	VERB
ejpam-3330	244	2	⇒	⇒	NOUN
ejpam-3330	244	3	0.1(usi(s)−	0.1(usi(s)−	PROPN
ejpam-3330	244	4	ui(0	ui(0	NOUN
ejpam-3330	244	5	)	)	PUNCT
ejpam-3330	244	6	)	)	PUNCT
ejpam-3330	245	1	+	+	CCONJ
ejpam-3330	245	2	2i(s	2i(s	NUM
ejpam-3330	245	3	)	)	PUNCT
ejpam-3330	246	1	+	+	CCONJ
ejpam-3330	247	1	10	10	NUM
ejpam-3330	247	2	s	s	NOUN
ejpam-3330	247	3	i(s	i(s	NOUN
ejpam-3330	247	4	)	)	PUNCT
ejpam-3330	247	5	=	=	SYM
ejpam-3330	247	6	120	120	NUM
ejpam-3330	247	7	[	[	PUNCT
ejpam-3330	247	8	1	1	NUM
ejpam-3330	247	9	s2	s2	NOUN
ejpam-3330	247	10	−	−	PROPN
ejpam-3330	247	11	1	1	NUM
ejpam-3330	247	12	s2	s2	NOUN
ejpam-3330	247	13	e−s	e−s	NOUN
ejpam-3330	247	14	−	−	PROPN
ejpam-3330	247	15	1	1	NUM
ejpam-3330	247	16	s	s	PART
ejpam-3330	247	17	e−s	e−s	X
ejpam-3330	247	18	]	]	PUNCT
ejpam-3330	247	19	finding	find	VERB
ejpam-3330	247	20	the	the	DET
ejpam-3330	247	21	inverse	inverse	NOUN
ejpam-3330	247	22	generalized	generalize	VERB
ejpam-3330	247	23	integral	integral	ADJ
ejpam-3330	247	24	transform	transform	NOUN
ejpam-3330	247	25	on	on	ADP
ejpam-3330	247	26	both	both	DET
ejpam-3330	247	27	sides	side	NOUN
ejpam-3330	247	28	of	of	ADP
ejpam-3330	247	29	the	the	DET
ejpam-3330	247	30	above	above	ADJ
ejpam-3330	247	31	equation	equation	NOUN
ejpam-3330	247	32	.	.	PUNCT
ejpam-3330	248	1	thus	thus	ADV
ejpam-3330	248	2	,	,	PUNCT
ejpam-3330	248	3	g−1{i(s	g−1{i(s	NOUN
ejpam-3330	248	4	)	)	PUNCT
ejpam-3330	248	5	}	}	PUNCT
ejpam-3330	248	6	=	=	SYM
ejpam-3330	248	7	g−1	g−1	X
ejpam-3330	248	8	{	{	PUNCT
ejpam-3330	248	9	120	120	NUM
ejpam-3330	248	10	[	[	PUNCT
ejpam-3330	248	11	1	1	NUM
ejpam-3330	248	12	s2	s2	NOUN
ejpam-3330	248	13	−	−	PROPN
ejpam-3330	248	14	1	1	NUM
ejpam-3330	248	15	s2	s2	NOUN
ejpam-3330	248	16	e−s	e−s	NOUN
ejpam-3330	248	17	−	−	PROPN
ejpam-3330	248	18	1	1	NUM
ejpam-3330	248	19	se	se	PROPN
ejpam-3330	248	20	−s	−s	NOUN
ejpam-3330	248	21	]	]	X
ejpam-3330	248	22	[	[	PUNCT
ejpam-3330	248	23	0.1us+	0.1us+	NUM
ejpam-3330	248	24	2	2	NUM
ejpam-3330	248	25	+	+	CCONJ
ejpam-3330	248	26	10	10	NUM
ejpam-3330	248	27	s	s	PART
ejpam-3330	248	28	]	]	PUNCT
ejpam-3330	248	29	}	}	PUNCT
ejpam-3330	248	30	i(t	i(t	PROPN
ejpam-3330	248	31	)	)	PUNCT
ejpam-3330	248	32	=	=	SYM
ejpam-3330	249	1	12[1−	12[1−	NUM
ejpam-3330	250	1	φ(t−	φ(t−	PROPN
ejpam-3330	250	2	1)]−	1)]−	NUM
ejpam-3330	250	3	12[e−10	12[e−10	NUM
ejpam-3330	250	4	t	t	NOUN
ejpam-3330	250	5	−	−	PROPN
ejpam-3330	251	1	e−10(t−1)φ(t−	e−10(t−1)φ(t−	PROPN
ejpam-3330	251	2	1)]−	1)]−	NUM
ejpam-3330	251	3	120te−10	120te−10	NUM
ejpam-3330	251	4	t	t	PROPN
ejpam-3330	251	5	−	−	PROPN
ejpam-3330	251	6	1080(t−	1080(t−	NUM
ejpam-3330	251	7	1)e−10(t−1φ(t−	1)e−10(t−1φ(t−	NUM
ejpam-3330	251	8	1	1	NUM
ejpam-3330	251	9	)	)	PUNCT
ejpam-3330	251	10	.	.	PUNCT
ejpam-3330	252	1	=	=	VERB
ejpam-3330	252	2	⇒	⇒	NOUN
ejpam-3330	252	3	i(t	i(t	PROPN
ejpam-3330	252	4	)	)	PUNCT
ejpam-3330	253	1	=	=	PUNCT
ejpam-3330	254	1			NUM
ejpam-3330	254	2	12−	12−	NUM
ejpam-3330	254	3	12e−10	12e−10	NUM
ejpam-3330	254	4	t	t	NOUN
ejpam-3330	254	5	−	−	PROPN
ejpam-3330	254	6	120te−10	120te−10	PROPN
ejpam-3330	254	7	t	t	PROPN
ejpam-3330	254	8	,	,	PUNCT
ejpam-3330	254	9	0	0	NUM
ejpam-3330	254	10	≤	≤	NUM
ejpam-3330	254	11	t	t	NOUN
ejpam-3330	254	12	≤	≤	NUM
ejpam-3330	254	13	1	1	NUM
ejpam-3330	254	14	−12e−10	−12e−10	SYM
ejpam-3330	254	15	t	t	X
ejpam-3330	254	16	−	−	PROPN
ejpam-3330	254	17	12e−10(t−1	12e−10(t−1	PROPN
ejpam-3330	254	18	)	)	PUNCT
ejpam-3330	254	19	−	−	PROPN
ejpam-3330	255	1	1080(t−	1080(t−	NUM
ejpam-3330	255	2	1)e−10(t−1	1)e−10(t−1	NUM
ejpam-3330	255	3	)	)	PUNCT
ejpam-3330	255	4	,	,	PUNCT
ejpam-3330	255	5	∀t	∀t	PROPN
ejpam-3330	255	6	≥	≥	NUM
ejpam-3330	255	7	1	1	NUM
ejpam-3330	255	8	2.6	2.6	NUM
ejpam-3330	255	9	.	.	PUNCT
ejpam-3330	256	1	the	the	DET
ejpam-3330	256	2	complex	complex	ADJ
ejpam-3330	256	3	generalized	generalized	ADJ
ejpam-3330	256	4	integral	integral	ADJ
ejpam-3330	256	5	transform	transform	NOUN
ejpam-3330	256	6	in	in	ADP
ejpam-3330	256	7	this	this	DET
ejpam-3330	256	8	section	section	NOUN
ejpam-3330	256	9	of	of	ADP
ejpam-3330	256	10	the	the	DET
ejpam-3330	256	11	paper	paper	NOUN
ejpam-3330	256	12	,	,	PUNCT
ejpam-3330	256	13	we	we	PRON
ejpam-3330	256	14	provide	provide	VERB
ejpam-3330	256	15	the	the	DET
ejpam-3330	256	16	complex	complex	ADJ
ejpam-3330	256	17	form	form	NOUN
ejpam-3330	256	18	of	of	ADP
ejpam-3330	256	19	the	the	DET
ejpam-3330	256	20	generalized	generalized	ADJ
ejpam-3330	256	21	integral	integral	ADJ
ejpam-3330	256	22	transform	transform	NOUN
ejpam-3330	256	23	.	.	PUNCT
ejpam-3330	257	1	thus	thus	ADV
ejpam-3330	257	2	,	,	PUNCT
ejpam-3330	257	3	the	the	DET
ejpam-3330	257	4	variable	variable	ADJ
ejpam-3330	257	5	f(t	f(t	NOUN
ejpam-3330	257	6	)	)	PUNCT
ejpam-3330	257	7	is	be	AUX
ejpam-3330	257	8	transformed	transform	VERB
ejpam-3330	257	9	in	in	ADP
ejpam-3330	257	10	a	a	DET
ejpam-3330	257	11	complex	complex	ADJ
ejpam-3330	257	12	domain	domain	NOUN
ejpam-3330	257	13	.	.	PUNCT
ejpam-3330	258	1	corollary	corollary	ADJ
ejpam-3330	258	2	6	6	NUM
ejpam-3330	258	3	.	.	PUNCT
ejpam-3330	259	1	let	let	VERB
ejpam-3330	259	2	f(t	f(t	NOUN
ejpam-3330	259	3	)	)	PUNCT
ejpam-3330	259	4	be	be	VERB
ejpam-3330	259	5	a	a	DET
ejpam-3330	259	6	function	function	NOUN
ejpam-3330	259	7	defined	define	VERB
ejpam-3330	259	8	for	for	ADP
ejpam-3330	259	9	t	t	PROPN
ejpam-3330	259	10	≥	≥	NOUN
ejpam-3330	259	11	0	0	NUM
ejpam-3330	259	12	.	.	PUNCT
ejpam-3330	260	1	then	then	ADV
ejpam-3330	260	2	the	the	DET
ejpam-3330	260	3	integral	integral	ADJ
ejpam-3330	260	4	g{f(t	g{f(t	NOUN
ejpam-3330	260	5	)	)	PUNCT
ejpam-3330	260	6	}	}	PUNCT
ejpam-3330	260	7	=	=	SYM
ejpam-3330	260	8	g(is	g(is	PROPN
ejpam-3330	260	9	)	)	PUNCT
ejpam-3330	260	10	=	=	PUNCT
ejpam-3330	260	11	iu	iu	ADP
ejpam-3330	260	12	∫	∫	PROPN
ejpam-3330	260	13	∞	∞	PROPN
ejpam-3330	260	14	0	0	PUNCT
ejpam-3330	261	1	f(ut)e−iustdt	f(ut)e−iustdt	VERB
ejpam-3330	261	2	,	,	PUNCT
ejpam-3330	261	3	is	be	AUX
ejpam-3330	261	4	the	the	DET
ejpam-3330	261	5	complex	complex	ADJ
ejpam-3330	261	6	generalized	generalized	ADJ
ejpam-3330	261	7	integral	integral	ADJ
ejpam-3330	261	8	transform	transform	NOUN
ejpam-3330	261	9	of	of	ADP
ejpam-3330	261	10	f(t	f(t	NOUN
ejpam-3330	261	11	)	)	PUNCT
ejpam-3330	261	12	for	for	ADP
ejpam-3330	261	13	all	all	DET
ejpam-3330	261	14	t	t	NOUN
ejpam-3330	261	15	∈	∈	PROPN
ejpam-3330	261	16	c+	c+	NOUN
ejpam-3330	261	17	.	.	PUNCT
ejpam-3330	262	1	proof	proof	NOUN
ejpam-3330	262	2	:	:	PUNCT
ejpam-3330	262	3	equating	equate	VERB
ejpam-3330	262	4	the	the	DET
ejpam-3330	262	5	kernels	kernel	NOUN
ejpam-3330	262	6	in	in	ADP
ejpam-3330	262	7	equations	equation	NOUN
ejpam-3330	262	8	(	(	PUNCT
ejpam-3330	262	9	1	1	NUM
ejpam-3330	262	10	)	)	PUNCT
ejpam-3330	262	11	and	and	CCONJ
ejpam-3330	262	12	(	(	PUNCT
ejpam-3330	262	13	8)	8)	NUM
ejpam-3330	262	14	yields	yield	NOUN
ejpam-3330	262	15	x−(s+1	x−(s+1	PUNCT
ejpam-3330	262	16	)	)	PUNCT
ejpam-3330	263	1	=	=	PUNCT
ejpam-3330	263	2	e−t	e−t	NOUN
ejpam-3330	263	3	⇒	⇒	NOUN
ejpam-3330	263	4	lnx−(s+1	lnx−(s+1	ADV
ejpam-3330	263	5	)	)	PUNCT
ejpam-3330	263	6	=	=	SYM
ejpam-3330	263	7	ln	ln	ADJ
ejpam-3330	263	8	e−t	e−t	NOUN
ejpam-3330	263	9	⇒	⇒	NOUN
ejpam-3330	263	10	−(s+	−(s+	NOUN
ejpam-3330	263	11	1	1	NUM
ejpam-3330	263	12	)	)	PUNCT
ejpam-3330	264	1	lnx	lnx	PROPN
ejpam-3330	264	2	=	=	PUNCT
ejpam-3330	264	3	−t	−t	PROPN
ejpam-3330	264	4	⇒	⇒	NOUN
ejpam-3330	264	5	x	x	PUNCT
ejpam-3330	265	1	=	=	SYM
ejpam-3330	265	2	e	e	X
ejpam-3330	265	3	ist	ist	PROPN
ejpam-3330	265	4	(	(	PUNCT
ejpam-3330	265	5	s+1	s+1	NOUN
ejpam-3330	265	6	)	)	PUNCT
ejpam-3330	265	7	(	(	PUNCT
ejpam-3330	265	8	13	13	NUM
ejpam-3330	265	9	)	)	PUNCT
ejpam-3330	265	10	⇒	⇒	NOUN
ejpam-3330	265	11	dx	dx	PROPN
ejpam-3330	265	12	=	=	PRON
ejpam-3330	265	13	is	be	AUX
ejpam-3330	265	14	(	(	PUNCT
ejpam-3330	265	15	s+	s+	X
ejpam-3330	265	16	1	1	X
ejpam-3330	265	17	)	)	PUNCT
ejpam-3330	265	18	e	e	NOUN
ejpam-3330	265	19	ist	ist	X
ejpam-3330	265	20	(	(	PUNCT
ejpam-3330	265	21	s+1)dt	s+1)dt	NOUN
ejpam-3330	265	22	.	.	PUNCT
ejpam-3330	266	1	substituting	substitute	VERB
ejpam-3330	266	2	equation	equation	NOUN
ejpam-3330	266	3	(	(	PUNCT
ejpam-3330	266	4	9	9	NUM
ejpam-3330	266	5	)	)	PUNCT
ejpam-3330	266	6	into	into	ADP
ejpam-3330	266	7	equation	equation	NOUN
ejpam-3330	266	8	(	(	PUNCT
ejpam-3330	266	9	1	1	X
ejpam-3330	266	10	)	)	PUNCT
ejpam-3330	266	11	yields	yield	NOUN
ejpam-3330	266	12	g(f(t	g(f(t	NOUN
ejpam-3330	266	13	)	)	PUNCT
ejpam-3330	266	14	)	)	PUNCT
ejpam-3330	267	1	=	=	PRON
ejpam-3330	267	2	is	be	AUX
ejpam-3330	267	3	(	(	PUNCT
ejpam-3330	267	4	s+	s+	X
ejpam-3330	267	5	1	1	NUM
ejpam-3330	267	6	)	)	PUNCT
ejpam-3330	267	7	∫	∫	PROPN
ejpam-3330	268	1	∞	∞	PROPN
ejpam-3330	268	2	0	0	NUM
ejpam-3330	269	1	f	f	PROPN
ejpam-3330	269	2	(	(	PUNCT
ejpam-3330	269	3	ist	ist	NOUN
ejpam-3330	269	4	s+	s+	X
ejpam-3330	269	5	1	1	X
ejpam-3330	269	6	)	)	PUNCT
ejpam-3330	269	7	e	e	X
ejpam-3330	269	8	−	−	PROPN
ejpam-3330	269	9	is2	is2	PROPN
ejpam-3330	269	10	t	t	PROPN
ejpam-3330	269	11	(	(	PUNCT
ejpam-3330	269	12	s+1)dt	s+1)dt	PROPN
ejpam-3330	269	13	references	reference	NOUN
ejpam-3330	269	14	1141	1141	NUM
ejpam-3330	269	15	g(f(t	g(f(t	NOUN
ejpam-3330	269	16	)	)	PUNCT
ejpam-3330	269	17	)	)	PUNCT
ejpam-3330	269	18	=	=	PUNCT
ejpam-3330	270	1	iu	iu	ADP
ejpam-3330	270	2	∫	∫	PROPN
ejpam-3330	270	3	∞	∞	PROPN
ejpam-3330	270	4	0	0	NUM
ejpam-3330	270	5	f(iut)e−iustdt	f(iut)e−iustdt	PROPN
ejpam-3330	270	6	,	,	PUNCT
ejpam-3330	270	7	(	(	PUNCT
ejpam-3330	270	8	14	14	NUM
ejpam-3330	270	9	)	)	PUNCT
ejpam-3330	270	10	where	where	SCONJ
ejpam-3330	270	11	u	u	NOUN
ejpam-3330	270	12	=	=	X
ejpam-3330	270	13	s	s	X
ejpam-3330	270	14	(	(	PUNCT
ejpam-3330	270	15	s+1	s+1	NOUN
ejpam-3330	270	16	)	)	PUNCT
ejpam-3330	270	17	.	.	PUNCT
ejpam-3330	271	1	3	3	X
ejpam-3330	271	2	.	.	X
ejpam-3330	271	3	conclusion	conclusion	NOUN
ejpam-3330	271	4	we	we	PRON
ejpam-3330	271	5	observed	observe	VERB
ejpam-3330	271	6	that	that	SCONJ
ejpam-3330	271	7	,	,	PUNCT
ejpam-3330	271	8	if	if	SCONJ
ejpam-3330	271	9	y(t	y(t	PROPN
ejpam-3330	271	10	)	)	PUNCT
ejpam-3330	271	11	,	,	PUNCT
ejpam-3330	271	12	y′(t	y′(t	NOUN
ejpam-3330	271	13	)	)	PUNCT
ejpam-3330	271	14	,	,	PUNCT
ejpam-3330	271	15	.	.	PUNCT
ejpam-3330	271	16	.	.	PUNCT
ejpam-3330	271	17	.	.	PUNCT
ejpam-3330	272	1	,	,	PUNCT
ejpam-3330	272	2	y(n−1)(t	y(n−1)(t	X
ejpam-3330	272	3	)	)	PUNCT
ejpam-3330	272	4	are	be	AUX
ejpam-3330	272	5	continuous	continuous	ADJ
ejpam-3330	272	6	on	on	ADP
ejpam-3330	272	7	[	[	X
ejpam-3330	272	8	0,∞	0,∞	NOUN
ejpam-3330	272	9	)	)	PUNCT
ejpam-3330	272	10	and	and	CCONJ
ejpam-3330	272	11	one	one	NUM
ejpam-3330	272	12	of	of	ADP
ejpam-3330	272	13	exponential	exponential	ADJ
ejpam-3330	272	14	order	order	NOUN
ejpam-3330	272	15	and	and	CCONJ
ejpam-3330	272	16	f	f	PROPN
ejpam-3330	272	17	(	(	PUNCT
ejpam-3330	272	18	n)(t	n)(t	PROPN
ejpam-3330	272	19	)	)	PUNCT
ejpam-3330	272	20	is	be	AUX
ejpam-3330	272	21	piecewise	piecewise	NOUN
ejpam-3330	272	22	continuous	continuous	ADJ
ejpam-3330	272	23	on	on	ADP
ejpam-3330	272	24	[	[	X
ejpam-3330	272	25	0,∞	0,∞	NOUN
ejpam-3330	272	26	)	)	PUNCT
ejpam-3330	272	27	,	,	PUNCT
ejpam-3330	272	28	then	then	ADV
ejpam-3330	272	29	g{fn(t	g{fn(t	NOUN
ejpam-3330	272	30	)	)	PUNCT
ejpam-3330	272	31	}	}	PUNCT
ejpam-3330	273	1	=	=	SYM
ejpam-3330	273	2	unsny	unsny	INTJ
ejpam-3330	273	3	(	(	PUNCT
ejpam-3330	273	4	s)−	s)−	PROPN
ejpam-3330	273	5	unsn−1y(0)−	unsn−1y(0)−	PROPN
ejpam-3330	273	6	un−1sn−2y′(0)−	un−1sn−2y′(0)−	PROPN
ejpam-3330	273	7	.	.	PUNCT
ejpam-3330	273	8	.	.	PUNCT
ejpam-3330	274	1	.−	.−	PUNCT
ejpam-3330	275	1	uy(n−1)(0	uy(n−1)(0	ADV
ejpam-3330	275	2	)	)	PUNCT
ejpam-3330	275	3	.	.	PUNCT
ejpam-3330	276	1	undoubtedly	undoubtedly	ADV
ejpam-3330	276	2	,	,	PUNCT
ejpam-3330	276	3	a	a	DET
ejpam-3330	276	4	generalization	generalization	NOUN
ejpam-3330	276	5	of	of	ADP
ejpam-3330	276	6	an	an	DET
ejpam-3330	276	7	integral	integral	ADJ
ejpam-3330	276	8	transform	transform	NOUN
ejpam-3330	276	9	becomes	become	VERB
ejpam-3330	276	10	the	the	DET
ejpam-3330	276	11	laplace	laplace	NOUN
ejpam-3330	276	12	transform	transform	NOUN
ejpam-3330	276	13	for	for	ADP
ejpam-3330	276	14	u	u	NOUN
ejpam-3330	276	15	=	=	NOUN
ejpam-3330	276	16	1	1	NUM
ejpam-3330	276	17	.	.	PUNCT
ejpam-3330	277	1	thus	thus	ADV
ejpam-3330	277	2	,	,	PUNCT
ejpam-3330	277	3	l(f(t	l(f(t	PROPN
ejpam-3330	277	4	)	)	PUNCT
ejpam-3330	277	5	)	)	PUNCT
ejpam-3330	278	1	=	=	SYM
ejpam-3330	278	2	∫	∫	PROPN
ejpam-3330	279	1	∞	∞	NOUN
ejpam-3330	279	2	0	0	PUNCT
ejpam-3330	280	1	f(t)e−stdt	f(t)e−stdt	PROPN
ejpam-3330	280	2	.	.	PUNCT
ejpam-3330	281	1	the	the	DET
ejpam-3330	281	2	git	git	NOUN
ejpam-3330	281	3	has	have	VERB
ejpam-3330	281	4	some	some	DET
ejpam-3330	281	5	properties	property	NOUN
ejpam-3330	281	6	like	like	ADP
ejpam-3330	281	7	the	the	DET
ejpam-3330	281	8	expression	expression	NOUN
ejpam-3330	281	9	for	for	ADP
ejpam-3330	281	10	derivative	derivative	NOUN
ejpam-3330	281	11	which	which	PRON
ejpam-3330	281	12	is	be	AUX
ejpam-3330	281	13	unique	unique	ADJ
ejpam-3330	281	14	as	as	SCONJ
ejpam-3330	281	15	compared	compare	VERB
ejpam-3330	281	16	to	to	ADP
ejpam-3330	281	17	other	other	ADJ
ejpam-3330	281	18	integral	integral	ADJ
ejpam-3330	281	19	transforms	transform	NOUN
ejpam-3330	281	20	.	.	PUNCT
ejpam-3330	282	1	the	the	DET
ejpam-3330	282	2	transformed	transform	VERB
ejpam-3330	282	3	variable	variable	ADJ
ejpam-3330	282	4	u	u	PROPN
ejpam-3330	282	5	plays	play	VERB
ejpam-3330	282	6	the	the	DET
ejpam-3330	282	7	role	role	NOUN
ejpam-3330	282	8	of	of	ADP
ejpam-3330	282	9	dilating	dilate	VERB
ejpam-3330	282	10	the	the	DET
ejpam-3330	282	11	transformed	transform	VERB
ejpam-3330	282	12	domain	domain	NOUN
ejpam-3330	282	13	to	to	PART
ejpam-3330	282	14	obtain	obtain	VERB
ejpam-3330	282	15	the	the	DET
ejpam-3330	282	16	desired	desire	VERB
ejpam-3330	282	17	result	result	NOUN
ejpam-3330	282	18	.	.	PUNCT
ejpam-3330	283	1	on	on	ADP
ejpam-3330	283	2	the	the	DET
ejpam-3330	283	3	other	other	ADJ
ejpam-3330	283	4	hand	hand	NOUN
ejpam-3330	283	5	,	,	PUNCT
ejpam-3330	283	6	the	the	DET
ejpam-3330	283	7	the	the	DET
ejpam-3330	283	8	transformed	transform	VERB
ejpam-3330	283	9	domain	domain	NOUN
ejpam-3330	283	10	can	can	AUX
ejpam-3330	283	11	be	be	AUX
ejpam-3330	283	12	contracted	contract	VERB
ejpam-3330	283	13	by	by	ADP
ejpam-3330	283	14	the	the	DET
ejpam-3330	283	15	transformed	transform	VERB
ejpam-3330	283	16	variable	variable	NOUN
ejpam-3330	283	17	u.	u.	PROPN
ejpam-3330	283	18	references	reference	NOUN
ejpam-3330	283	19	[	[	X
ejpam-3330	283	20	1	1	NUM
ejpam-3330	283	21	]	]	PUNCT
ejpam-3330	283	22	zill	zill	PROPN
ejpam-3330	283	23	d.	d.	PROPN
ejpam-3330	283	24	g.	g.	PROPN
ejpam-3330	283	25	(	(	PUNCT
ejpam-3330	283	26	2001	2001	NUM
ejpam-3330	283	27	)	)	PUNCT
ejpam-3330	283	28	.	.	PUNCT
ejpam-3330	284	1	a	a	DET
ejpam-3330	284	2	first	first	ADJ
ejpam-3330	284	3	course	course	NOUN
ejpam-3330	284	4	in	in	ADP
ejpam-3330	284	5	differential	differential	ADJ
ejpam-3330	284	6	equations	equation	NOUN
ejpam-3330	284	7	with	with	ADP
ejpam-3330	284	8	modeling	modeling	NOUN
ejpam-3330	284	9	applications	application	NOUN
ejpam-3330	284	10	.	.	PUNCT
ejpam-3330	285	1	thomson	thomson	PROPN
ejpam-3330	285	2	learning	learning	PROPN
ejpam-3330	285	3	,	,	PUNCT
ejpam-3330	285	4	7thed	7thed	X
ejpam-3330	285	5	.	.	PUNCT
ejpam-3330	286	1	[	[	X
ejpam-3330	286	2	2	2	NUM
ejpam-3330	286	3	]	]	PUNCT
ejpam-3330	286	4	estrin	estrin	NOUN
ejpam-3330	286	5	t.	t.	PROPN
ejpam-3330	286	6	a.	a.	PROPN
ejpam-3330	286	7	and	and	CCONJ
ejpam-3330	286	8	higgins	higgins	PROPN
ejpam-3330	286	9	t.	t.	PROPN
ejpam-3330	286	10	j.	j.	PROPN
ejpam-3330	286	11	(	(	PUNCT
ejpam-3330	286	12	1951	1951	NUM
ejpam-3330	286	13	)	)	PUNCT
ejpam-3330	286	14	.	.	PUNCT
ejpam-3330	287	1	the	the	DET
ejpam-3330	287	2	solution	solution	NOUN
ejpam-3330	287	3	of	of	ADP
ejpam-3330	287	4	boundary	boundary	ADJ
ejpam-3330	287	5	value	value	NOUN
ejpam-3330	287	6	problems	problem	NOUN
ejpam-3330	287	7	by	by	ADP
ejpam-3330	287	8	multiple	multiple	ADJ
ejpam-3330	287	9	laplace	laplace	NOUN
ejpam-3330	287	10	transformations	transformation	NOUN
ejpam-3330	287	11	.	.	PUNCT
ejpam-3330	288	1	j.	j.	PROPN
ejpam-3330	288	2	franklin	franklin	PROPN
ejpam-3330	288	3	inst.252	inst.252	PROPN
ejpam-3330	288	4	:	:	PUNCT
ejpam-3330	288	5	153	153	NUM
ejpam-3330	288	6	-	-	SYM
ejpam-3330	288	7	167	167	NUM
ejpam-3330	288	8	[	[	X
ejpam-3330	288	9	3	3	NUM
ejpam-3330	288	10	]	]	X
ejpam-3330	288	11	debnath	debnath	PROPN
ejpam-3330	288	12	l.	l.	PROPN
ejpam-3330	288	13	and	and	CCONJ
ejpam-3330	288	14	bhatta	bhatta	PROPN
ejpam-3330	288	15	(	(	PUNCT
ejpam-3330	288	16	2015	2015	NUM
ejpam-3330	288	17	)	)	PUNCT
ejpam-3330	288	18	.	.	PUNCT
ejpam-3330	289	1	integral	integral	ADJ
ejpam-3330	289	2	transforms	transform	NOUN
ejpam-3330	289	3	and	and	CCONJ
ejpam-3330	289	4	their	their	PRON
ejpam-3330	289	5	applications	application	NOUN
ejpam-3330	289	6	.	.	PUNCT
ejpam-3330	290	1	taylor	taylor	PROPN
ejpam-3330	290	2	and	and	CCONJ
ejpam-3330	290	3	francis	francis	PROPN
ejpam-3330	290	4	group	group	PROPN
ejpam-3330	290	5	,	,	PUNCT
ejpam-3330	290	6	llc	llc	PROPN
ejpam-3330	290	7	.	.	PUNCT
ejpam-3330	291	1	[	[	X
ejpam-3330	291	2	4	4	X
ejpam-3330	291	3	]	]	PUNCT
ejpam-3330	291	4	dhunde	dhunde	VERB
ejpam-3330	291	5	r.	r.	NOUN
ejpam-3330	291	6	and	and	CCONJ
ejpam-3330	291	7	waghmare	waghmare	PROPN
ejpam-3330	291	8	g.	g.	PROPN
ejpam-3330	291	9	l.	l.	PROPN
ejpam-3330	291	10	(	(	PUNCT
ejpam-3330	291	11	2017	2017	NUM
ejpam-3330	291	12	)	)	PUNCT
ejpam-3330	291	13	.	.	PUNCT
ejpam-3330	292	1	double	double	ADJ
ejpam-3330	292	2	laplace	laplace	NOUN
ejpam-3330	292	3	transform	transform	NOUN
ejpam-3330	292	4	method	method	NOUN
ejpam-3330	292	5	in	in	ADP
ejpam-3330	292	6	mathematical	mathematical	ADJ
ejpam-3330	292	7	physics	physics	NOUN
ejpam-3330	292	8	.	.	PUNCT
ejpam-3330	293	1	international	international	ADJ
ejpam-3330	293	2	journal	journal	PROPN
ejpam-3330	293	3	of	of	ADP
ejpam-3330	293	4	theoretical	theoretical	ADJ
ejpam-3330	293	5	and	and	CCONJ
ejpam-3330	293	6	mathematical	mathematical	ADJ
ejpam-3330	293	7	physics,7(1	physics,7(1	NOUN
ejpam-3330	293	8	):	):	PUNCT
ejpam-3330	293	9	14	14	NUM
ejpam-3330	293	10	-	-	SYM
ejpam-3330	293	11	20	20	NUM
ejpam-3330	293	12	.	.	PUNCT
ejpam-3330	294	1	[	[	X
ejpam-3330	294	2	5	5	X
ejpam-3330	294	3	]	]	PUNCT
ejpam-3330	294	4	g.	g.	PROPN
ejpam-3330	294	5	k.	k.	PROPN
ejpam-3330	294	6	watugala	watugala	PROPN
ejpam-3330	294	7	(	(	PUNCT
ejpam-3330	294	8	1993	1993	NUM
ejpam-3330	294	9	)	)	PUNCT
ejpam-3330	294	10	.	.	PUNCT
ejpam-3330	295	1	sumudu	sumudu	NOUN
ejpam-3330	295	2	transform	transform	VERB
ejpam-3330	295	3	-	-	PUNCT
ejpam-3330	295	4	a	a	DET
ejpam-3330	295	5	new	new	ADJ
ejpam-3330	295	6	integral	integral	ADJ
ejpam-3330	295	7	transform	transform	NOUN
ejpam-3330	295	8	to	to	PART
ejpam-3330	295	9	solve	solve	VERB
ejpam-3330	295	10	differential	differential	ADJ
ejpam-3330	295	11	equations	equation	NOUN
ejpam-3330	295	12	and	and	CCONJ
ejpam-3330	295	13	control	control	NOUN
ejpam-3330	295	14	engineering	engineering	NOUN
ejpam-3330	295	15	problems	problem	NOUN
ejpam-3330	295	16	.	.	PUNCT
ejpam-3330	296	1	mathematical	mathematical	ADJ
ejpam-3330	296	2	engineering	engineering	NOUN
ejpam-3330	296	3	in	in	ADP
ejpam-3330	296	4	industry	industry	NOUN
ejpam-3330	296	5	,	,	PUNCT
ejpam-3330	296	6	6(4	6(4	NUM
ejpam-3330	296	7	):	):	PUNCT
ejpam-3330	296	8	319	319	NUM
ejpam-3330	296	9	329	329	NUM
ejpam-3330	296	10	.	.	PUNCT
ejpam-3330	297	1	[	[	X
ejpam-3330	297	2	6	6	NUM
ejpam-3330	297	3	]	]	PUNCT
ejpam-3330	297	4	z.	z.	PROPN
ejpam-3330	297	5	h.	h.	PROPN
ejpam-3330	297	6	khan	khan	PROPN
ejpam-3330	297	7	and	and	CCONJ
ejpam-3330	297	8	w.	w.	PROPN
ejpam-3330	297	9	a.	a.	PROPN
ejpam-3330	297	10	khan	khan	PROPN
ejpam-3330	297	11	,	,	PUNCT
ejpam-3330	297	12	natural	natural	ADJ
ejpam-3330	297	13	transform	transform	NOUN
ejpam-3330	297	14	-	-	PUNCT
ejpam-3330	297	15	properties	property	NOUN
ejpam-3330	297	16	and	and	CCONJ
ejpam-3330	297	17	applications	application	NOUN
ejpam-3330	297	18	,	,	PUNCT
ejpam-3330	297	19	nust	nust	PROPN
ejpam-3330	297	20	journal	journal	PROPN
ejpam-3330	297	21	of	of	ADP
ejpam-3330	297	22	engineering	engineering	NOUN
ejpam-3330	297	23	sciences	science	NOUN
ejpam-3330	297	24	,	,	PUNCT
ejpam-3330	297	25	1	1	NUM
ejpam-3330	297	26	,	,	PUNCT
ejpam-3330	297	27	1	1	NUM
ejpam-3330	297	28	(	(	PUNCT
ejpam-3330	297	29	2008	2008	NUM
ejpam-3330	297	30	)	)	PUNCT
ejpam-3330	297	31	,	,	PUNCT
ejpam-3330	297	32	127	127	NUM
ejpam-3330	297	33	-	-	SYM
ejpam-3330	297	34	133	133	NUM
ejpam-3330	297	35	references	reference	NOUN
ejpam-3330	297	36	1142	1142	NUM
ejpam-3330	297	37	[	[	X
ejpam-3330	297	38	7	7	NUM
ejpam-3330	297	39	]	]	X
ejpam-3330	297	40	kilicman	kilicman	NOUN
ejpam-3330	297	41	a.	a.	NOUN
ejpam-3330	297	42	and	and	CCONJ
ejpam-3330	297	43	omran	omran	ADJ
ejpam-3330	297	44	m.	m.	NOUN
ejpam-3330	297	45	(	(	PUNCT
ejpam-3330	297	46	2017	2017	NUM
ejpam-3330	297	47	)	)	PUNCT
ejpam-3330	297	48	.	.	PUNCT
ejpam-3330	298	1	on	on	ADP
ejpam-3330	298	2	double	double	ADJ
ejpam-3330	298	3	natural	natural	ADJ
ejpam-3330	298	4	transform	transform	NOUN
ejpam-3330	298	5	and	and	CCONJ
ejpam-3330	298	6	its	its	PRON
ejpam-3330	298	7	applications	application	NOUN
ejpam-3330	298	8	.	.	PUNCT
ejpam-3330	299	1	journal	journal	PROPN
ejpam-3330	299	2	of	of	ADP
ejpam-3330	299	3	nonlinear	nonlinear	PROPN
ejpam-3330	299	4	sciences	sciences	PROPN
ejpam-3330	299	5	and	and	CCONJ
ejpam-3330	299	6	applications.10	applications.10	NOUN
ejpam-3330	299	7	:	:	PUNCT
ejpam-3330	299	8	1744	1744	NUM
ejpam-3330	299	9	-	-	SYM
ejpam-3330	299	10	1754	1754	NUM
ejpam-3330	299	11	.	.	PUNCT
ejpam-3330	300	1	[	[	X
ejpam-3330	300	2	8	8	NUM
ejpam-3330	300	3	]	]	X
ejpam-3330	300	4	barnes	barnes	PROPN
ejpam-3330	300	5	b.	b.	PROPN
ejpam-3330	300	6	(	(	PUNCT
ejpam-3330	300	7	2016	2016	NUM
ejpam-3330	300	8	)	)	PUNCT
ejpam-3330	300	9	.	.	PUNCT
ejpam-3330	301	1	polynomial	polynomial	ADJ
ejpam-3330	301	2	integral	integral	ADJ
ejpam-3330	301	3	transform	transform	NOUN
ejpam-3330	301	4	for	for	ADP
ejpam-3330	301	5	solving	solve	VERB
ejpam-3330	301	6	differential	differential	ADJ
ejpam-3330	301	7	equations	equation	NOUN
ejpam-3330	301	8	.	.	PUNCT
ejpam-3330	302	1	european	european	PROPN
ejpam-3330	302	2	journal	journal	PROPN
ejpam-3330	302	3	of	of	ADP
ejpam-3330	302	4	pure	pure	ADJ
ejpam-3330	302	5	and	and	CCONJ
ejpam-3330	302	6	applied	applied	ADJ
ejpam-3330	302	7	mathematics	mathematic	NOUN
ejpam-3330	302	8	,	,	PUNCT
ejpam-3330	302	9	9(2	9(2	NUM
ejpam-3330	302	10	):	):	PUNCT
ejpam-3330	302	11	140	140	NUM
ejpam-3330	302	12	-	-	SYM
ejpam-3330	302	13	151	151	NUM
ejpam-3330	302	14	.	.	PUNCT
ejpam-3330	303	1	[	[	X
ejpam-3330	303	2	9	9	NUM
ejpam-3330	303	3	]	]	PUNCT
ejpam-3330	303	4	chaudhary	chaudhary	PROPN
ejpam-3330	303	5	p.	p.	PROPN
ejpam-3330	303	6	,	,	PUNCT
ejpam-3330	303	7	chanchal	chanchal	PROPN
ejpam-3330	303	8	p.	p.	NOUN
ejpam-3330	303	9	,	,	PUNCT
ejpam-3330	303	10	khandelwal	khandelwal	PROPN
ejpam-3330	303	11	and	and	CCONJ
ejpam-3330	303	12	singh	singh	PROPN
ejpam-3330	303	13	h.	h.	PROPN
ejpam-3330	303	14	(	(	PUNCT
ejpam-3330	303	15	2018	2018	NUM
ejpam-3330	303	16	)	)	PUNCT
ejpam-3330	303	17	.	.	PUNCT
ejpam-3330	304	1	duality	duality	NOUN
ejpam-3330	304	2	of	of	ADP
ejpam-3330	304	3	some	some	DET
ejpam-3330	304	4	famous	famous	ADJ
ejpam-3330	304	5	integral	integral	ADJ
ejpam-3330	304	6	transforms	transform	NOUN
ejpam-3330	304	7	from	from	ADP
ejpam-3330	304	8	the	the	DET
ejpam-3330	304	9	polynomial	polynomial	ADJ
ejpam-3330	304	10	integral	integral	ADJ
ejpam-3330	304	11	transform	transform	NOUN
ejpam-3330	304	12	.	.	PUNCT
ejpam-3330	305	1	international	international	ADJ
ejpam-3330	305	2	journal	journal	PROPN
ejpam-3330	305	3	of	of	ADP
ejpam-3330	305	4	mathematics	mathematics	NOUN
ejpam-3330	305	5	trends	trend	NOUN
ejpam-3330	305	6	and	and	CCONJ
ejpam-3330	305	7	technology,35	technology,35	NOUN
ejpam-3330	305	8	,	,	PUNCT
ejpam-3330	305	9	5	5	NUM
ejpam-3330	305	10	345	345	NUM
ejpam-3330	305	11	-	-	SYM
ejpam-3330	305	12	349	349	NUM
ejpam-3330	305	13	.	.	PUNCT