id	sid	tid	token	lemma	pos
ejpam-4745	1	1	european	european	PROPN
ejpam-4745	1	2	journal	journal	PROPN
ejpam-4745	1	3	of	of	ADP
ejpam-4745	1	4	pure	pure	ADJ
ejpam-4745	1	5	and	and	CCONJ
ejpam-4745	1	6	applied	apply	VERB
ejpam-4745	1	7	mathematics	mathematic	NOUN
ejpam-4745	1	8	vol	vol	NOUN
ejpam-4745	1	9	.	.	PUNCT
ejpam-4745	2	1	16	16	NUM
ejpam-4745	2	2	,	,	PUNCT
ejpam-4745	2	3	no	no	INTJ
ejpam-4745	2	4	.	.	NOUN
ejpam-4745	2	5	2	2	NUM
ejpam-4745	2	6	,	,	PUNCT
ejpam-4745	2	7	2023	2023	NUM
ejpam-4745	2	8	,	,	PUNCT
ejpam-4745	2	9	919	919	NUM
ejpam-4745	2	10	-	-	SYM
ejpam-4745	2	11	933	933	NUM
ejpam-4745	2	12	issn	issn	PROPN
ejpam-4745	2	13	1307	1307	NUM
ejpam-4745	2	14	-	-	SYM
ejpam-4745	2	15	5543	5543	NUM
ejpam-4745	2	16	–	–	PUNCT
ejpam-4745	2	17	ejpam.com	ejpam.com	X
ejpam-4745	2	18	published	publish	VERB
ejpam-4745	2	19	by	by	ADP
ejpam-4745	2	20	new	new	PROPN
ejpam-4745	2	21	york	york	PROPN
ejpam-4745	2	22	business	business	PROPN
ejpam-4745	2	23	global	global	ADJ
ejpam-4745	2	24	solution	solution	NOUN
ejpam-4745	2	25	of	of	ADP
ejpam-4745	2	26	integral	integral	ADJ
ejpam-4745	2	27	equations	equation	NOUN
ejpam-4745	2	28	via	via	ADP
ejpam-4745	2	29	laplace	laplace	PROPN
ejpam-4745	2	30	ara	ara	PROPN
ejpam-4745	2	31	transform	transform	VERB
ejpam-4745	2	32	ahmad	ahmad	PROPN
ejpam-4745	2	33	qazza	qazza	PROPN
ejpam-4745	2	34	department	department	PROPN
ejpam-4745	2	35	of	of	ADP
ejpam-4745	2	36	mathematics	mathematics	PROPN
ejpam-4745	2	37	,	,	PUNCT
ejpam-4745	2	38	zarqa	zarqa	PROPN
ejpam-4745	2	39	university	university	PROPN
ejpam-4745	2	40	,	,	PUNCT
ejpam-4745	2	41	zarqa	zarqa	PROPN
ejpam-4745	2	42	13110	13110	NUM
ejpam-4745	2	43	,	,	PUNCT
ejpam-4745	2	44	jordan	jordan	PROPN
ejpam-4745	2	45	.	.	PUNCT
ejpam-4745	3	1	abstract	abstract	PROPN
ejpam-4745	3	2	.	.	PUNCT
ejpam-4745	4	1	this	this	DET
ejpam-4745	4	2	research	research	NOUN
ejpam-4745	4	3	article	article	NOUN
ejpam-4745	4	4	demonstrates	demonstrate	VERB
ejpam-4745	4	5	an	an	DET
ejpam-4745	4	6	efficient	efficient	ADJ
ejpam-4745	4	7	method	method	NOUN
ejpam-4745	4	8	for	for	ADP
ejpam-4745	4	9	solving	solve	VERB
ejpam-4745	4	10	partial	partial	ADJ
ejpam-4745	4	11	integrodifferential	integrodifferential	ADJ
ejpam-4745	4	12	equations	equation	NOUN
ejpam-4745	4	13	.	.	PUNCT
ejpam-4745	5	1	the	the	DET
ejpam-4745	5	2	intention	intention	NOUN
ejpam-4745	5	3	of	of	ADP
ejpam-4745	5	4	this	this	DET
ejpam-4745	5	5	research	research	NOUN
ejpam-4745	5	6	is	be	AUX
ejpam-4745	5	7	to	to	PART
ejpam-4745	5	8	establish	establish	VERB
ejpam-4745	5	9	the	the	DET
ejpam-4745	5	10	solution	solution	NOUN
ejpam-4745	5	11	of	of	ADP
ejpam-4745	5	12	some	some	DET
ejpam-4745	5	13	different	different	ADJ
ejpam-4745	5	14	classes	class	NOUN
ejpam-4745	5	15	of	of	ADP
ejpam-4745	5	16	integral	integral	ADJ
ejpam-4745	5	17	equations	equation	NOUN
ejpam-4745	5	18	,	,	PUNCT
ejpam-4745	5	19	by	by	ADP
ejpam-4745	5	20	utilizing	utilize	VERB
ejpam-4745	5	21	the	the	DET
ejpam-4745	5	22	double	double	ADJ
ejpam-4745	5	23	laplace	laplace	NOUN
ejpam-4745	5	24	ara	ara	PROPN
ejpam-4745	5	25	transform	transform	NOUN
ejpam-4745	5	26	.	.	PUNCT
ejpam-4745	6	1	we	we	PRON
ejpam-4745	6	2	present	present	VERB
ejpam-4745	6	3	some	some	DET
ejpam-4745	6	4	definitions	definition	NOUN
ejpam-4745	6	5	and	and	CCONJ
ejpam-4745	6	6	basic	basic	ADJ
ejpam-4745	6	7	concepts	concept	NOUN
ejpam-4745	6	8	related	relate	VERB
ejpam-4745	6	9	to	to	ADP
ejpam-4745	6	10	the	the	DET
ejpam-4745	6	11	double	double	ADJ
ejpam-4745	6	12	laplace	laplace	NOUN
ejpam-4745	6	13	ara	ara	PROPN
ejpam-4745	6	14	transform	transform	NOUN
ejpam-4745	6	15	.	.	PUNCT
ejpam-4745	7	1	the	the	DET
ejpam-4745	7	2	results	result	NOUN
ejpam-4745	7	3	of	of	ADP
ejpam-4745	7	4	the	the	DET
ejpam-4745	7	5	examples	example	NOUN
ejpam-4745	7	6	support	support	VERB
ejpam-4745	7	7	the	the	DET
ejpam-4745	7	8	theoretical	theoretical	ADJ
ejpam-4745	7	9	results	result	NOUN
ejpam-4745	7	10	and	and	CCONJ
ejpam-4745	7	11	show	show	VERB
ejpam-4745	7	12	the	the	DET
ejpam-4745	7	13	accuracy	accuracy	NOUN
ejpam-4745	7	14	and	and	CCONJ
ejpam-4745	7	15	applicability	applicability	NOUN
ejpam-4745	7	16	of	of	ADP
ejpam-4745	7	17	the	the	DET
ejpam-4745	7	18	presented	present	VERB
ejpam-4745	7	19	approach	approach	NOUN
ejpam-4745	7	20	.	.	PUNCT
ejpam-4745	8	1	2020	2020	NUM
ejpam-4745	8	2	mathematics	mathematic	NOUN
ejpam-4745	8	3	subject	subject	NOUN
ejpam-4745	8	4	classifications	classification	NOUN
ejpam-4745	8	5	:	:	PUNCT
ejpam-4745	8	6	44a05	44a05	NUM
ejpam-4745	8	7	,	,	PUNCT
ejpam-4745	8	8	34a25	34a25	NUM
ejpam-4745	8	9	key	key	ADJ
ejpam-4745	8	10	words	word	NOUN
ejpam-4745	8	11	and	and	CCONJ
ejpam-4745	8	12	phrases	phrase	NOUN
ejpam-4745	8	13	:	:	PUNCT
ejpam-4745	8	14	double	double	ADJ
ejpam-4745	8	15	laplace	laplace	NOUN
ejpam-4745	8	16	-	-	PUNCT
ejpam-4745	8	17	ara	ara	NOUN
ejpam-4745	8	18	transform	transform	NOUN
ejpam-4745	8	19	,	,	PUNCT
ejpam-4745	8	20	ara	ara	NOUN
ejpam-4745	8	21	transform	transform	NOUN
ejpam-4745	8	22	,	,	PUNCT
ejpam-4745	8	23	laplace	laplace	NOUN
ejpam-4745	8	24	transform	transform	NOUN
ejpam-4745	8	25	,	,	PUNCT
ejpam-4745	8	26	partial	partial	ADJ
ejpam-4745	8	27	integro	integro	ADJ
ejpam-4745	8	28	-	-	PUNCT
ejpam-4745	8	29	differential	differential	NOUN
ejpam-4745	8	30	equations	equation	NOUN
ejpam-4745	8	31	1	1	NUM
ejpam-4745	8	32	.	.	PUNCT
ejpam-4745	9	1	introduction	introduction	NOUN
ejpam-4745	9	2	integral	integral	ADJ
ejpam-4745	9	3	transforms	transform	NOUN
ejpam-4745	9	4	play	play	VERB
ejpam-4745	9	5	a	a	DET
ejpam-4745	9	6	vital	vital	ADJ
ejpam-4745	9	7	role	role	NOUN
ejpam-4745	9	8	in	in	ADP
ejpam-4745	9	9	solving	solve	VERB
ejpam-4745	9	10	integral	integral	ADJ
ejpam-4745	9	11	equations	equation	NOUN
ejpam-4745	9	12	and	and	CCONJ
ejpam-4745	9	13	partial	partial	ADJ
ejpam-4745	9	14	integrodifferential	integrodifferential	ADJ
ejpam-4745	9	15	equations	equation	NOUN
ejpam-4745	9	16	.	.	PUNCT
ejpam-4745	10	1	for	for	ADP
ejpam-4745	10	2	this	this	DET
ejpam-4745	10	3	reason	reason	NOUN
ejpam-4745	10	4	,	,	PUNCT
ejpam-4745	10	5	many	many	ADJ
ejpam-4745	10	6	phenomena	phenomenon	NOUN
ejpam-4745	10	7	in	in	ADP
ejpam-4745	10	8	the	the	DET
ejpam-4745	10	9	field	field	NOUN
ejpam-4745	10	10	of	of	ADP
ejpam-4745	10	11	engineering	engineering	NOUN
ejpam-4745	10	12	,	,	PUNCT
ejpam-4745	10	13	science	science	NOUN
ejpam-4745	10	14	,	,	PUNCT
ejpam-4745	10	15	and	and	CCONJ
ejpam-4745	10	16	mathematical	mathematical	ADJ
ejpam-4745	10	17	physics	physics	NOUN
ejpam-4745	10	18	can	can	AUX
ejpam-4745	10	19	be	be	AUX
ejpam-4745	10	20	represented	represent	VERB
ejpam-4745	10	21	by	by	ADP
ejpam-4745	10	22	integral	integral	ADJ
ejpam-4745	10	23	equations	equation	NOUN
ejpam-4745	10	24	of	of	ADP
ejpam-4745	10	25	different	different	ADJ
ejpam-4745	10	26	types	type	NOUN
ejpam-4745	11	1	[	[	X
ejpam-4745	11	2	6	6	NUM
ejpam-4745	11	3	,	,	PUNCT
ejpam-4745	11	4	8	8	NUM
ejpam-4745	11	5	,	,	PUNCT
ejpam-4745	11	6	9	9	NUM
ejpam-4745	11	7	,	,	PUNCT
ejpam-4745	11	8	12	12	NUM
ejpam-4745	11	9	,	,	PUNCT
ejpam-4745	11	10	15	15	NUM
ejpam-4745	11	11	,	,	PUNCT
ejpam-4745	11	12	16	16	NUM
ejpam-4745	11	13	,	,	PUNCT
ejpam-4745	11	14	26	26	NUM
ejpam-4745	11	15	]	]	PUNCT
ejpam-4745	11	16	.	.	PUNCT
ejpam-4745	12	1	using	use	VERB
ejpam-4745	12	2	integral	integral	ADJ
ejpam-4745	12	3	transformations	transformation	NOUN
ejpam-4745	12	4	,	,	PUNCT
ejpam-4745	12	5	we	we	PRON
ejpam-4745	12	6	can	can	AUX
ejpam-4745	12	7	transform	transform	VERB
ejpam-4745	12	8	integral	integral	ADJ
ejpam-4745	12	9	equations	equation	NOUN
ejpam-4745	12	10	into	into	ADP
ejpam-4745	12	11	algebraic	algebraic	ADJ
ejpam-4745	12	12	or	or	CCONJ
ejpam-4745	12	13	differential	differential	ADJ
ejpam-4745	12	14	equations	equation	NOUN
ejpam-4745	12	15	and	and	CCONJ
ejpam-4745	12	16	get	get	VERB
ejpam-4745	12	17	the	the	DET
ejpam-4745	12	18	exact	exact	ADJ
ejpam-4745	12	19	solution	solution	NOUN
ejpam-4745	12	20	of	of	ADP
ejpam-4745	12	21	the	the	DET
ejpam-4745	12	22	target	target	NOUN
ejpam-4745	12	23	integral	integral	ADJ
ejpam-4745	12	24	equations	equation	NOUN
ejpam-4745	12	25	.	.	PUNCT
ejpam-4745	13	1	developed	develop	VERB
ejpam-4745	13	2	through	through	ADP
ejpam-4745	13	3	the	the	DET
ejpam-4745	13	4	hard	hard	ADJ
ejpam-4745	13	5	work	work	NOUN
ejpam-4745	13	6	of	of	ADP
ejpam-4745	13	7	many	many	ADJ
ejpam-4745	13	8	scientists	scientist	NOUN
ejpam-4745	13	9	and	and	CCONJ
ejpam-4745	13	10	researchers	researcher	NOUN
ejpam-4745	13	11	,	,	PUNCT
ejpam-4745	13	12	these	these	DET
ejpam-4745	13	13	techniques	technique	NOUN
ejpam-4745	13	14	are	be	AUX
ejpam-4745	13	15	used	use	VERB
ejpam-4745	13	16	today	today	NOUN
ejpam-4745	13	17	to	to	PART
ejpam-4745	13	18	tackle	tackle	VERB
ejpam-4745	13	19	challenging	challenging	ADJ
ejpam-4745	13	20	problems	problem	NOUN
ejpam-4745	13	21	in	in	ADP
ejpam-4745	13	22	contemporary	contemporary	ADJ
ejpam-4745	13	23	arithmetic	arithmetic	NOUN
ejpam-4745	13	24	.	.	PUNCT
ejpam-4745	14	1	these	these	DET
ejpam-4745	14	2	transformations	transformation	NOUN
ejpam-4745	14	3	enable	enable	VERB
ejpam-4745	14	4	us	we	PRON
ejpam-4745	14	5	to	to	PART
ejpam-4745	14	6	get	get	VERB
ejpam-4745	14	7	the	the	DET
ejpam-4745	14	8	exact	exact	ADJ
ejpam-4745	14	9	solutions	solution	NOUN
ejpam-4745	14	10	of	of	ADP
ejpam-4745	14	11	the	the	DET
ejpam-4745	14	12	objective	objective	ADJ
ejpam-4745	14	13	equations	equation	NOUN
ejpam-4745	14	14	without	without	ADP
ejpam-4745	14	15	the	the	DET
ejpam-4745	14	16	need	need	NOUN
ejpam-4745	14	17	for	for	ADP
ejpam-4745	14	18	linearization	linearization	NOUN
ejpam-4745	14	19	or	or	CCONJ
ejpam-4745	14	20	discretization	discretization	NOUN
ejpam-4745	14	21	,	,	PUNCT
ejpam-4745	14	22	like	like	ADP
ejpam-4745	14	23	laplace	laplace	NOUN
ejpam-4745	14	24	,	,	PUNCT
ejpam-4745	14	25	fourier	fourier	NOUN
ejpam-4745	14	26	,	,	PUNCT
ejpam-4745	14	27	elzaki	elzaki	ADJ
ejpam-4745	14	28	,	,	PUNCT
ejpam-4745	14	29	natural	natural	ADJ
ejpam-4745	14	30	,	,	PUNCT
ejpam-4745	14	31	sumudu	sumudu	NOUN
ejpam-4745	14	32	,	,	PUNCT
ejpam-4745	14	33	and	and	CCONJ
ejpam-4745	14	34	ara	ara	NOUN
ejpam-4745	14	35	transformations	transformation	NOUN
ejpam-4745	14	36	[	[	X
ejpam-4745	14	37	14	14	NUM
ejpam-4745	14	38	,	,	PUNCT
ejpam-4745	14	39	17	17	NUM
ejpam-4745	14	40	,	,	PUNCT
ejpam-4745	14	41	18	18	NUM
ejpam-4745	14	42	,	,	PUNCT
ejpam-4745	14	43	24	24	NUM
ejpam-4745	14	44	,	,	PUNCT
ejpam-4745	14	45	25	25	NUM
ejpam-4745	14	46	,	,	PUNCT
ejpam-4745	14	47	27	27	NUM
ejpam-4745	14	48	]	]	PUNCT
ejpam-4745	14	49	.	.	PUNCT
ejpam-4745	15	1	they	they	PRON
ejpam-4745	15	2	are	be	AUX
ejpam-4745	15	3	used	use	VERB
ejpam-4745	15	4	in	in	ADP
ejpam-4745	15	5	transforming	transform	VERB
ejpam-4745	15	6	the	the	DET
ejpam-4745	15	7	partial	partial	ADJ
ejpam-4745	15	8	differential	differential	ADJ
ejpam-4745	15	9	equations	equation	NOUN
ejpam-4745	15	10	into	into	ADP
ejpam-4745	15	11	ordinary	ordinary	ADJ
ejpam-4745	15	12	equations	equation	NOUN
ejpam-4745	15	13	using	use	VERB
ejpam-4745	15	14	a	a	DET
ejpam-4745	15	15	simple	simple	ADJ
ejpam-4745	15	16	transformation	transformation	NOUN
ejpam-4745	15	17	,	,	PUNCT
ejpam-4745	15	18	or	or	CCONJ
ejpam-4745	15	19	into	into	ADP
ejpam-4745	15	20	algebraic	algebraic	ADJ
ejpam-4745	15	21	equations	equation	NOUN
ejpam-4745	15	22	using	use	VERB
ejpam-4745	15	23	a	a	DET
ejpam-4745	15	24	double	double	ADJ
ejpam-4745	15	25	integral	integral	ADJ
ejpam-4745	15	26	transformation	transformation	NOUN
ejpam-4745	15	27	.	.	PUNCT
ejpam-4745	16	1	the	the	DET
ejpam-4745	16	2	double	double	ADJ
ejpam-4745	16	3	transformations	transformation	NOUN
ejpam-4745	16	4	have	have	AUX
ejpam-4745	16	5	also	also	ADV
ejpam-4745	16	6	widespread	widespread	ADJ
ejpam-4745	16	7	applied	apply	VERB
ejpam-4745	16	8	to	to	PART
ejpam-4745	16	9	solve	solve	VERB
ejpam-4745	16	10	partial	partial	ADJ
ejpam-4745	16	11	differential	differential	ADJ
ejpam-4745	16	12	equations	equation	NOUN
ejpam-4745	16	13	with	with	ADP
ejpam-4745	16	14	unknown	unknown	ADJ
ejpam-4745	16	15	two	two	NUM
ejpam-4745	16	16	variable	variable	ADJ
ejpam-4745	16	17	functions	function	NOUN
ejpam-4745	16	18	,	,	PUNCT
ejpam-4745	16	19	and	and	CCONJ
ejpam-4745	16	20	as	as	ADP
ejpam-4745	16	21	a	a	DET
ejpam-4745	16	22	result	result	NOUN
ejpam-4745	16	23	,	,	PUNCT
ejpam-4745	16	24	double	double	ADJ
ejpam-4745	16	25	transformations	transformation	NOUN
ejpam-4745	16	26	have	have	AUX
ejpam-4745	16	27	been	be	AUX
ejpam-4745	16	28	considered	consider	VERB
ejpam-4745	16	29	to	to	PART
ejpam-4745	16	30	be	be	AUX
ejpam-4745	16	31	very	very	ADV
ejpam-4745	16	32	effective	effective	ADJ
ejpam-4745	16	33	in	in	ADP
ejpam-4745	16	34	handling	handle	VERB
ejpam-4745	16	35	partial	partial	ADJ
ejpam-4745	16	36	differential	differential	ADJ
ejpam-4745	16	37	equations	equation	NOUN
ejpam-4745	16	38	compared	compare	VERB
ejpam-4745	16	39	to	to	ADP
ejpam-4745	16	40	other	other	ADJ
ejpam-4745	16	41	numerical	numerical	ADJ
ejpam-4745	16	42	approaches	approach	NOUN
ejpam-4745	16	43	[	[	X
ejpam-4745	16	44	3	3	NUM
ejpam-4745	16	45	,	,	PUNCT
ejpam-4745	16	46	7	7	NUM
ejpam-4745	16	47	,	,	PUNCT
ejpam-4745	16	48	11	11	NUM
ejpam-4745	16	49	]	]	PUNCT
ejpam-4745	16	50	.	.	PUNCT
ejpam-4745	17	1	in	in	ADP
ejpam-4745	17	2	addition	addition	NOUN
ejpam-4745	17	3	,	,	PUNCT
ejpam-4745	17	4	extensions	extension	NOUN
ejpam-4745	17	5	of	of	ADP
ejpam-4745	17	6	the	the	DET
ejpam-4745	17	7	double	double	ADJ
ejpam-4745	17	8	transformation	transformation	NOUN
ejpam-4745	17	9	doi	doi	NOUN
ejpam-4745	17	10	:	:	PUNCT
ejpam-4745	17	11	https://doi.org/10.29020/nybg.ejpam.v16i2.4745	https://doi.org/10.29020/nybg.ejpam.v16i2.4745	PROPN
ejpam-4745	17	12	email	email	NOUN
ejpam-4745	17	13	address	address	NOUN
ejpam-4745	17	14	:	:	PUNCT
ejpam-4745	17	15	aqazza@zu.edu.jo	aqazza@zu.edu.jo	NOUN
ejpam-4745	17	16	(	(	PUNCT
ejpam-4745	17	17	a.	a.	NOUN
ejpam-4745	17	18	qazza	qazza	PROPN
ejpam-4745	17	19	)	)	PUNCT
ejpam-4745	17	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4745	17	21	919	919	NUM
ejpam-4745	18	1	©	©	ADP
ejpam-4745	18	2	2023	2023	NUM
ejpam-4745	18	3	ejpam	ejpam	NOUN
ejpam-4745	18	4	all	all	DET
ejpam-4745	18	5	rights	right	NOUN
ejpam-4745	18	6	reserved	reserve	VERB
ejpam-4745	18	7	.	.	PUNCT
ejpam-4745	19	1	a.	a.	NOUN
ejpam-4745	19	2	qazza	qazza	PROPN
ejpam-4745	19	3	/	/	SYM
ejpam-4745	19	4	eur	eur	PROPN
ejpam-4745	19	5	.	.	PUNCT
ejpam-4745	20	1	j.	j.	PROPN
ejpam-4745	20	2	pure	pure	PROPN
ejpam-4745	20	3	appl	appl	PROPN
ejpam-4745	20	4	.	.	PROPN
ejpam-4745	20	5	math	math	PROPN
ejpam-4745	20	6	,	,	PUNCT
ejpam-4745	20	7	16	16	NUM
ejpam-4745	20	8	(	(	PUNCT
ejpam-4745	20	9	2	2	NUM
ejpam-4745	20	10	)	)	PUNCT
ejpam-4745	20	11	(	(	PUNCT
ejpam-4745	20	12	2023	2023	NUM
ejpam-4745	20	13	)	)	PUNCT
ejpam-4745	20	14	,	,	PUNCT
ejpam-4745	20	15	919	919	NUM
ejpam-4745	20	16	-	-	SYM
ejpam-4745	20	17	933	933	NUM
ejpam-4745	20	18	920	920	NUM
ejpam-4745	20	19	have	have	AUX
ejpam-4745	20	20	been	be	AUX
ejpam-4745	20	21	developed	develop	VERB
ejpam-4745	20	22	in	in	ADP
ejpam-4745	20	23	the	the	DET
ejpam-4745	20	24	relevant	relevant	ADJ
ejpam-4745	20	25	literature	literature	NOUN
ejpam-4745	20	26	,	,	PUNCT
ejpam-4745	20	27	such	such	ADJ
ejpam-4745	20	28	as	as	ADP
ejpam-4745	20	29	double	double	ADJ
ejpam-4745	20	30	laplace	laplace	NOUN
ejpam-4745	20	31	transform	transform	NOUN
ejpam-4745	20	32	,	,	PUNCT
ejpam-4745	20	33	double	double	ADJ
ejpam-4745	20	34	shehu	shehu	NOUN
ejpam-4745	20	35	transform	transform	VERB
ejpam-4745	20	36	[	[	X
ejpam-4745	20	37	10	10	NUM
ejpam-4745	20	38	]	]	PUNCT
ejpam-4745	20	39	,	,	PUNCT
ejpam-4745	20	40	double	double	ADJ
ejpam-4745	20	41	sumudu	sumudu	NOUN
ejpam-4745	20	42	transform	transform	NOUN
ejpam-4745	20	43	[	[	X
ejpam-4745	20	44	21	21	NUM
ejpam-4745	20	45	,	,	PUNCT
ejpam-4745	20	46	28	28	NUM
ejpam-4745	20	47	]	]	PUNCT
ejpam-4745	20	48	,	,	PUNCT
ejpam-4745	20	49	double	double	ADJ
ejpam-4745	20	50	elzaki	elzaki	NOUN
ejpam-4745	20	51	transform	transform	NOUN
ejpam-4745	20	52	[	[	PUNCT
ejpam-4745	20	53	13	13	NUM
ejpam-4745	20	54	]	]	PUNCT
ejpam-4745	20	55	,	,	PUNCT
ejpam-4745	20	56	double	double	ADJ
ejpam-4745	20	57	laplace	laplace	NOUN
ejpam-4745	20	58	-	-	PUNCT
ejpam-4745	20	59	sumudu	sumudu	NOUN
ejpam-4745	20	60	transform	transform	NOUN
ejpam-4745	20	61	[	[	X
ejpam-4745	20	62	20	20	NUM
ejpam-4745	20	63	]	]	PUNCT
ejpam-4745	20	64	,	,	PUNCT
ejpam-4745	20	65	ara	ara	PROPN
ejpam-4745	20	66	–	–	PUNCT
ejpam-4745	20	67	sumudu	sumudu	NOUN
ejpam-4745	20	68	transform	transform	NOUN
ejpam-4745	20	69	[	[	X
ejpam-4745	20	70	5	5	NUM
ejpam-4745	20	71	,	,	PUNCT
ejpam-4745	20	72	19	19	NUM
ejpam-4745	20	73	]	]	PUNCT
ejpam-4745	20	74	and	and	CCONJ
ejpam-4745	20	75	double	double	ADJ
ejpam-4745	20	76	ara	ara	NOUN
ejpam-4745	20	77	transform	transform	NOUN
ejpam-4745	20	78	[	[	X
ejpam-4745	20	79	22	22	NUM
ejpam-4745	20	80	,	,	PUNCT
ejpam-4745	20	81	23	23	NUM
ejpam-4745	20	82	]	]	PUNCT
ejpam-4745	20	83	.	.	PUNCT
ejpam-4745	21	1	the	the	DET
ejpam-4745	21	2	ara	ara	PROPN
ejpam-4745	21	3	transformation	transformation	NOUN
ejpam-4745	21	4	is	be	AUX
ejpam-4745	21	5	introduced	introduce	VERB
ejpam-4745	21	6	in	in	ADP
ejpam-4745	21	7	2020	2020	NUM
ejpam-4745	21	8	[	[	X
ejpam-4745	21	9	18	18	NUM
ejpam-4745	21	10	]	]	PUNCT
ejpam-4745	21	11	.	.	PUNCT
ejpam-4745	22	1	it	it	PRON
ejpam-4745	22	2	is	be	AUX
ejpam-4745	22	3	defined	define	VERB
ejpam-4745	22	4	by	by	ADP
ejpam-4745	22	5	the	the	DET
ejpam-4745	22	6	improper	improper	ADJ
ejpam-4745	22	7	integral	integral	NOUN
ejpam-4745	22	8	.	.	PUNCT
ejpam-4745	23	1	gn	gn	PROPN
ejpam-4745	24	1	[	[	X
ejpam-4745	24	2	φ	φ	X
ejpam-4745	24	3	(	(	PUNCT
ejpam-4745	24	4	u	u	NOUN
ejpam-4745	24	5	)	)	PUNCT
ejpam-4745	24	6	]	]	PUNCT
ejpam-4745	24	7	=	=	PUNCT
ejpam-4745	24	8	v	v	NUM
ejpam-4745	24	9	∫	∫	PROPN
ejpam-4745	24	10	∞	∞	PROPN
ejpam-4745	24	11	0	0	NUM
ejpam-4745	24	12	un−1e−uvφ	un−1e−uvφ	ADJ
ejpam-4745	24	13	(	(	PUNCT
ejpam-4745	24	14	u	u	NOUN
ejpam-4745	24	15	)	)	PUNCT
ejpam-4745	24	16	du	du	PROPN
ejpam-4745	24	17	,	,	PUNCT
ejpam-4745	24	18	v	v	X
ejpam-4745	24	19	>	>	X
ejpam-4745	24	20	0	0	NUM
ejpam-4745	24	21	.	.	PUNCT
ejpam-4745	25	1	this	this	DET
ejpam-4745	25	2	transformation	transformation	NOUN
ejpam-4745	25	3	has	have	AUX
ejpam-4745	25	4	attracted	attract	VERB
ejpam-4745	25	5	much	much	ADJ
ejpam-4745	25	6	attention	attention	NOUN
ejpam-4745	25	7	from	from	ADP
ejpam-4745	25	8	researchers	researcher	NOUN
ejpam-4745	25	9	due	due	ADP
ejpam-4745	25	10	to	to	ADP
ejpam-4745	25	11	its	its	PRON
ejpam-4745	25	12	ability	ability	NOUN
ejpam-4745	25	13	to	to	PART
ejpam-4745	25	14	generate	generate	VERB
ejpam-4745	25	15	multiple	multiple	ADJ
ejpam-4745	25	16	transformations	transformation	NOUN
ejpam-4745	25	17	of	of	ADP
ejpam-4745	25	18	index	index	NOUN
ejpam-4745	25	19	n	n	CCONJ
ejpam-4745	25	20	,	,	PUNCT
ejpam-4745	25	21	and	and	CCONJ
ejpam-4745	25	22	it	it	PRON
ejpam-4745	25	23	could	could	AUX
ejpam-4745	25	24	also	also	ADV
ejpam-4745	25	25	easily	easily	ADV
ejpam-4745	25	26	overcome	overcome	VERB
ejpam-4745	25	27	the	the	DET
ejpam-4745	25	28	challenges	challenge	NOUN
ejpam-4745	25	29	of	of	ADP
ejpam-4745	25	30	having	have	VERB
ejpam-4745	25	31	singular	singular	ADJ
ejpam-4745	25	32	points	point	NOUN
ejpam-4745	25	33	in	in	ADP
ejpam-4745	25	34	differential	differential	ADJ
ejpam-4745	25	35	equations	equation	NOUN
ejpam-4745	25	36	.	.	PUNCT
ejpam-4745	26	1	despite	despite	SCONJ
ejpam-4745	26	2	all	all	DET
ejpam-4745	26	3	these	these	DET
ejpam-4745	26	4	merits	merit	NOUN
ejpam-4745	26	5	it	it	PRON
ejpam-4745	26	6	could	could	AUX
ejpam-4745	26	7	be	be	AUX
ejpam-4745	26	8	used	use	VERB
ejpam-4745	26	9	to	to	PART
ejpam-4745	26	10	solve	solve	VERB
ejpam-4745	26	11	different	different	ADJ
ejpam-4745	26	12	kinds	kind	NOUN
ejpam-4745	26	13	of	of	ADP
ejpam-4745	26	14	problems	problem	NOUN
ejpam-4745	26	15	[	[	X
ejpam-4745	26	16	1	1	NUM
ejpam-4745	26	17	,	,	PUNCT
ejpam-4745	26	18	4	4	NUM
ejpam-4745	26	19	]	]	PUNCT
ejpam-4745	26	20	.	.	PUNCT
ejpam-4745	27	1	in	in	ADP
ejpam-4745	27	2	this	this	DET
ejpam-4745	27	3	research	research	NOUN
ejpam-4745	27	4	,	,	PUNCT
ejpam-4745	27	5	we	we	PRON
ejpam-4745	27	6	introduce	introduce	VERB
ejpam-4745	27	7	a	a	DET
ejpam-4745	27	8	new	new	ADJ
ejpam-4745	27	9	laplace	laplace	NOUN
ejpam-4745	27	10	and	and	CCONJ
ejpam-4745	27	11	ara	ara	NOUN
ejpam-4745	27	12	combination	combination	NOUN
ejpam-4745	27	13	,	,	PUNCT
ejpam-4745	27	14	so	so	SCONJ
ejpam-4745	27	15	that	that	SCONJ
ejpam-4745	27	16	we	we	PRON
ejpam-4745	27	17	can	can	AUX
ejpam-4745	27	18	take	take	VERB
ejpam-4745	27	19	advantage	advantage	NOUN
ejpam-4745	27	20	of	of	ADP
ejpam-4745	27	21	these	these	DET
ejpam-4745	27	22	two	two	NUM
ejpam-4745	27	23	powerful	powerful	ADJ
ejpam-4745	27	24	transforms	transform	VERB
ejpam-4745	27	25	.	.	PUNCT
ejpam-4745	28	1	this	this	DET
ejpam-4745	28	2	combination	combination	NOUN
ejpam-4745	28	3	is	be	AUX
ejpam-4745	28	4	called	call	VERB
ejpam-4745	28	5	the	the	DET
ejpam-4745	28	6	double	double	ADJ
ejpam-4745	28	7	laplaceara	laplaceara	NOUN
ejpam-4745	28	8	transform	transform	NOUN
ejpam-4745	28	9	(	(	PUNCT
ejpam-4745	28	10	dl	dl	NOUN
ejpam-4745	28	11	-	-	PUNCT
ejpam-4745	28	12	arat	arat	NOUN
ejpam-4745	28	13	)	)	PUNCT
ejpam-4745	29	1	[	[	X
ejpam-4745	29	2	2	2	NUM
ejpam-4745	29	3	]	]	PUNCT
ejpam-4745	29	4	.	.	PUNCT
ejpam-4745	30	1	basic	basic	ADJ
ejpam-4745	30	2	properties	property	NOUN
ejpam-4745	30	3	and	and	CCONJ
ejpam-4745	30	4	concepts	concept	NOUN
ejpam-4745	30	5	related	relate	VERB
ejpam-4745	30	6	to	to	ADP
ejpam-4745	30	7	dl	dl	PROPN
ejpam-4745	30	8	-	-	PUNCT
ejpam-4745	30	9	arat	arat	PROPN
ejpam-4745	30	10	are	be	AUX
ejpam-4745	30	11	obtained	obtain	VERB
ejpam-4745	30	12	and	and	CCONJ
ejpam-4745	30	13	proven	prove	VERB
ejpam-4745	30	14	,	,	PUNCT
ejpam-4745	30	15	also	also	ADV
ejpam-4745	30	16	we	we	PRON
ejpam-4745	30	17	process	process	VERB
ejpam-4745	30	18	the	the	DET
ejpam-4745	30	19	values	value	NOUN
ejpam-4745	30	20	of	of	ADP
ejpam-4745	30	21	some	some	DET
ejpam-4745	30	22	functions	function	NOUN
ejpam-4745	30	23	by	by	ADP
ejpam-4745	30	24	dl	dl	NOUN
ejpam-4745	30	25	-	-	PUNCT
ejpam-4745	30	26	arat	arat	NOUN
ejpam-4745	30	27	.	.	PUNCT
ejpam-4745	31	1	to	to	PART
ejpam-4745	31	2	help	help	VERB
ejpam-4745	31	3	us	we	PRON
ejpam-4745	31	4	in	in	ADP
ejpam-4745	31	5	solving	solve	VERB
ejpam-4745	31	6	integral	integral	ADJ
ejpam-4745	31	7	equations	equation	NOUN
ejpam-4745	31	8	new	new	ADJ
ejpam-4745	31	9	relations	relation	NOUN
ejpam-4745	31	10	related	relate	VERB
ejpam-4745	31	11	to	to	ADP
ejpam-4745	31	12	the	the	DET
ejpam-4745	31	13	double	double	ADJ
ejpam-4745	31	14	convolution	convolution	NOUN
ejpam-4745	31	15	theorem	theorem	NOUN
ejpam-4745	31	16	and	and	CCONJ
ejpam-4745	31	17	partial	partial	ADJ
ejpam-4745	31	18	derivatives	derivative	NOUN
ejpam-4745	31	19	are	be	AUX
ejpam-4745	31	20	implemented	implement	VERB
ejpam-4745	31	21	and	and	CCONJ
ejpam-4745	31	22	established	establish	VERB
ejpam-4745	31	23	.	.	PUNCT
ejpam-4745	32	1	the	the	DET
ejpam-4745	32	2	novelty	novelty	NOUN
ejpam-4745	32	3	of	of	ADP
ejpam-4745	32	4	this	this	DET
ejpam-4745	32	5	research	research	NOUN
ejpam-4745	32	6	is	be	AUX
ejpam-4745	32	7	evident	evident	ADJ
ejpam-4745	32	8	in	in	ADP
ejpam-4745	32	9	these	these	DET
ejpam-4745	32	10	combinations	combination	NOUN
ejpam-4745	32	11	between	between	ADP
ejpam-4745	32	12	laplace	laplace	NOUN
ejpam-4745	32	13	and	and	CCONJ
ejpam-4745	32	14	ara	ara	PROPN
ejpam-4745	32	15	transforms	transform	VERB
ejpam-4745	32	16	,	,	PUNCT
ejpam-4745	32	17	in	in	ADP
ejpam-4745	32	18	which	which	PRON
ejpam-4745	32	19	the	the	DET
ejpam-4745	32	20	new	new	ADJ
ejpam-4745	32	21	dl	dl	PROPN
ejpam-4745	32	22	-	-	PUNCT
ejpam-4745	32	23	arat	arat	PROPN
ejpam-4745	32	24	have	have	VERB
ejpam-4745	32	25	the	the	DET
ejpam-4745	32	26	advantages	advantage	NOUN
ejpam-4745	32	27	of	of	ADP
ejpam-4745	32	28	the	the	DET
ejpam-4745	32	29	two	two	NUM
ejpam-4745	32	30	transforms	transform	NOUN
ejpam-4745	32	31	,	,	PUNCT
ejpam-4745	32	32	the	the	DET
ejpam-4745	32	33	applicability	applicability	NOUN
ejpam-4745	32	34	of	of	ADP
ejpam-4745	32	35	ara	ara	PROPN
ejpam-4745	32	36	in	in	ADP
ejpam-4745	32	37	handling	handle	VERB
ejpam-4745	32	38	some	some	DET
ejpam-4745	32	39	singular	singular	ADJ
ejpam-4745	32	40	points	point	NOUN
ejpam-4745	32	41	found	find	VERB
ejpam-4745	32	42	in	in	ADP
ejpam-4745	32	43	the	the	DET
ejpam-4745	32	44	equations	equation	NOUN
ejpam-4745	32	45	and	and	CCONJ
ejpam-4745	32	46	the	the	DET
ejpam-4745	32	47	simplicity	simplicity	NOUN
ejpam-4745	32	48	of	of	ADP
ejpam-4745	32	49	laplace	laplace	NOUN
ejpam-4745	32	50	.	.	PUNCT
ejpam-4745	33	1	in	in	ADP
ejpam-4745	33	2	this	this	DET
ejpam-4745	33	3	work	work	NOUN
ejpam-4745	33	4	we	we	PRON
ejpam-4745	33	5	use	use	VERB
ejpam-4745	33	6	the	the	DET
ejpam-4745	33	7	first	first	ADJ
ejpam-4745	33	8	order	order	NOUN
ejpam-4745	33	9	ara	ara	NOUN
ejpam-4745	33	10	transform	transform	VERB
ejpam-4745	33	11	g1	g1	NOUN
ejpam-4745	33	12	[	[	X
ejpam-4745	33	13	φ(u	φ(u	NOUN
ejpam-4745	33	14	)	)	PUNCT
ejpam-4745	33	15	]	]	PUNCT
ejpam-4745	33	16	,	,	PUNCT
ejpam-4745	33	17	which	which	PRON
ejpam-4745	33	18	we	we	PRON
ejpam-4745	33	19	denote	denote	VERB
ejpam-4745	33	20	by	by	ADP
ejpam-4745	33	21	g	g	PROPN
ejpam-4745	33	22	[	[	X
ejpam-4745	33	23	φ(u	φ(u	NOUN
ejpam-4745	33	24	)	)	PUNCT
ejpam-4745	33	25	]	]	PUNCT
ejpam-4745	33	26	for	for	ADP
ejpam-4745	33	27	the	the	DET
ejpam-4745	33	28	sake	sake	NOUN
ejpam-4745	33	29	of	of	ADP
ejpam-4745	33	30	simplicity	simplicity	NOUN
ejpam-4745	33	31	.	.	PUNCT
ejpam-4745	34	1	the	the	DET
ejpam-4745	34	2	motivation	motivation	NOUN
ejpam-4745	34	3	of	of	ADP
ejpam-4745	34	4	this	this	DET
ejpam-4745	34	5	work	work	NOUN
ejpam-4745	34	6	is	be	AUX
ejpam-4745	34	7	to	to	PART
ejpam-4745	34	8	present	present	VERB
ejpam-4745	34	9	a	a	DET
ejpam-4745	34	10	novel	novel	ADJ
ejpam-4745	34	11	double	double	ADJ
ejpam-4745	34	12	integral	integral	ADJ
ejpam-4745	34	13	transform	transform	NOUN
ejpam-4745	34	14	,	,	PUNCT
ejpam-4745	34	15	that	that	PRON
ejpam-4745	34	16	combines	combine	VERB
ejpam-4745	34	17	two	two	NUM
ejpam-4745	34	18	powerful	powerful	ADJ
ejpam-4745	34	19	transforms	transform	NOUN
ejpam-4745	34	20	,	,	PUNCT
ejpam-4745	34	21	laplace	laplace	NOUN
ejpam-4745	34	22	and	and	CCONJ
ejpam-4745	34	23	ara	ara	PROPN
ejpam-4745	34	24	transforms	transform	VERB
ejpam-4745	34	25	.	.	PUNCT
ejpam-4745	35	1	the	the	DET
ejpam-4745	35	2	new	new	ADJ
ejpam-4745	35	3	approach	approach	NOUN
ejpam-4745	35	4	has	have	VERB
ejpam-4745	35	5	the	the	DET
ejpam-4745	35	6	merits	merit	NOUN
ejpam-4745	35	7	of	of	ADP
ejpam-4745	35	8	the	the	DET
ejpam-4745	35	9	two	two	NUM
ejpam-4745	35	10	transforms	transform	NOUN
ejpam-4745	35	11	and	and	CCONJ
ejpam-4745	35	12	can	can	AUX
ejpam-4745	35	13	solve	solve	VERB
ejpam-4745	35	14	different	different	ADJ
ejpam-4745	35	15	kinds	kind	NOUN
ejpam-4745	35	16	of	of	ADP
ejpam-4745	35	17	problems	problem	NOUN
ejpam-4745	35	18	.	.	PUNCT
ejpam-4745	36	1	the	the	DET
ejpam-4745	36	2	remaining	remain	VERB
ejpam-4745	36	3	part	part	NOUN
ejpam-4745	36	4	of	of	ADP
ejpam-4745	36	5	the	the	DET
ejpam-4745	36	6	paper	paper	NOUN
ejpam-4745	36	7	is	be	AUX
ejpam-4745	36	8	set	set	VERB
ejpam-4745	36	9	up	up	ADP
ejpam-4745	36	10	as	as	SCONJ
ejpam-4745	36	11	follows	follow	VERB
ejpam-4745	36	12	.	.	PUNCT
ejpam-4745	37	1	section	section	NOUN
ejpam-4745	37	2	2	2	NUM
ejpam-4745	37	3	defines	define	VERB
ejpam-4745	37	4	the	the	DET
ejpam-4745	37	5	basic	basic	ADJ
ejpam-4745	37	6	definitions	definition	NOUN
ejpam-4745	37	7	and	and	CCONJ
ejpam-4745	37	8	properties	property	NOUN
ejpam-4745	37	9	of	of	ADP
ejpam-4745	37	10	the	the	DET
ejpam-4745	37	11	ara	ara	NOUN
ejpam-4745	37	12	transform	transform	VERB
ejpam-4745	37	13	and	and	CCONJ
ejpam-4745	37	14	laplace	laplace	NOUN
ejpam-4745	37	15	transform	transform	NOUN
ejpam-4745	37	16	.	.	PUNCT
ejpam-4745	38	1	in	in	ADP
ejpam-4745	38	2	section	section	NOUN
ejpam-4745	38	3	3	3	NUM
ejpam-4745	38	4	basic	basic	ADJ
ejpam-4745	38	5	properties	property	NOUN
ejpam-4745	38	6	and	and	CCONJ
ejpam-4745	38	7	theorems	theorem	NOUN
ejpam-4745	38	8	of	of	ADP
ejpam-4745	38	9	dl	dl	PROPN
ejpam-4745	38	10	-	-	PUNCT
ejpam-4745	38	11	arat	arat	PROPN
ejpam-4745	38	12	are	be	AUX
ejpam-4745	38	13	presented	present	VERB
ejpam-4745	38	14	and	and	CCONJ
ejpam-4745	38	15	proved	prove	VERB
ejpam-4745	38	16	,	,	PUNCT
ejpam-4745	38	17	and	and	CCONJ
ejpam-4745	38	18	we	we	PRON
ejpam-4745	38	19	apply	apply	VERB
ejpam-4745	38	20	dl	dl	PROPN
ejpam-4745	38	21	-	-	PUNCT
ejpam-4745	38	22	arat	arat	NOUN
ejpam-4745	38	23	to	to	ADP
ejpam-4745	38	24	some	some	DET
ejpam-4745	38	25	functions	function	NOUN
ejpam-4745	38	26	.	.	PUNCT
ejpam-4745	39	1	by	by	ADP
ejpam-4745	39	2	applying	apply	VERB
ejpam-4745	39	3	the	the	DET
ejpam-4745	39	4	integral	integral	ADJ
ejpam-4745	39	5	transform	transform	NOUN
ejpam-4745	39	6	dl	dl	NOUN
ejpam-4745	39	7	-	-	PUNCT
ejpam-4745	39	8	arat	arat	NOUN
ejpam-4745	39	9	to	to	PART
ejpam-4745	39	10	solve	solve	VERB
ejpam-4745	39	11	the	the	DET
ejpam-4745	39	12	second	second	ADJ
ejpam-4745	39	13	type	type	NOUN
ejpam-4745	39	14	nonlinear	nonlinear	PROPN
ejpam-4745	39	15	vie	vie	PROPN
ejpam-4745	39	16	and	and	CCONJ
ejpam-4745	39	17	solving	solve	VERB
ejpam-4745	39	18	significant	significant	ADJ
ejpam-4745	39	19	examples	example	NOUN
ejpam-4745	39	20	in	in	ADP
ejpam-4745	39	21	section	section	NOUN
ejpam-4745	39	22	4	4	NUM
ejpam-4745	39	23	,	,	PUNCT
ejpam-4745	39	24	the	the	DET
ejpam-4745	39	25	effectiveness	effectiveness	NOUN
ejpam-4745	39	26	and	and	CCONJ
ejpam-4745	39	27	efficiency	efficiency	NOUN
ejpam-4745	39	28	of	of	ADP
ejpam-4745	39	29	the	the	DET
ejpam-4745	39	30	proposed	propose	VERB
ejpam-4745	39	31	method	method	NOUN
ejpam-4745	39	32	are	be	AUX
ejpam-4745	39	33	illustrated	illustrate	VERB
ejpam-4745	39	34	.	.	PUNCT
ejpam-4745	40	1	finally	finally	ADV
ejpam-4745	40	2	,	,	PUNCT
ejpam-4745	40	3	in	in	ADP
ejpam-4745	40	4	section	section	NOUN
ejpam-4745	40	5	5	5	NUM
ejpam-4745	40	6	,	,	PUNCT
ejpam-4745	40	7	the	the	DET
ejpam-4745	40	8	conclusion	conclusion	NOUN
ejpam-4745	40	9	of	of	ADP
ejpam-4745	40	10	the	the	DET
ejpam-4745	40	11	work	work	NOUN
ejpam-4745	40	12	is	be	AUX
ejpam-4745	40	13	presented	present	VERB
ejpam-4745	40	14	.	.	PUNCT
ejpam-4745	41	1	2	2	X
ejpam-4745	41	2	.	.	NUM
ejpam-4745	41	3	preliminaries	preliminary	NOUN
ejpam-4745	41	4	and	and	CCONJ
ejpam-4745	41	5	notations	notation	NOUN
ejpam-4745	41	6	in	in	ADP
ejpam-4745	41	7	this	this	DET
ejpam-4745	41	8	part	part	NOUN
ejpam-4745	41	9	,	,	PUNCT
ejpam-4745	41	10	we	we	PRON
ejpam-4745	41	11	will	will	AUX
ejpam-4745	41	12	provide	provide	VERB
ejpam-4745	41	13	the	the	DET
ejpam-4745	41	14	basic	basic	ADJ
ejpam-4745	41	15	definitions	definition	NOUN
ejpam-4745	41	16	and	and	CCONJ
ejpam-4745	41	17	some	some	DET
ejpam-4745	41	18	properties	property	NOUN
ejpam-4745	41	19	of	of	ADP
ejpam-4745	41	20	the	the	DET
ejpam-4745	41	21	laplace	laplace	NOUN
ejpam-4745	41	22	and	and	CCONJ
ejpam-4745	41	23	the	the	DET
ejpam-4745	41	24	ara	ara	NOUN
ejpam-4745	41	25	transforms	transform	VERB
ejpam-4745	41	26	that	that	PRON
ejpam-4745	41	27	will	will	AUX
ejpam-4745	41	28	be	be	AUX
ejpam-4745	41	29	needed	need	VERB
ejpam-4745	41	30	in	in	ADP
ejpam-4745	41	31	later	later	ADJ
ejpam-4745	41	32	sections	section	NOUN
ejpam-4745	41	33	.	.	PUNCT
ejpam-4745	42	1	definition	definition	NOUN
ejpam-4745	42	2	1	1	NUM
ejpam-4745	42	3	.	.	PUNCT
ejpam-4745	43	1	[	[	X
ejpam-4745	43	2	27	27	NUM
ejpam-4745	43	3	]	]	PUNCT
ejpam-4745	43	4	the	the	DET
ejpam-4745	43	5	laplace	laplace	NOUN
ejpam-4745	43	6	transform	transform	NOUN
ejpam-4745	43	7	of	of	ADP
ejpam-4745	43	8	the	the	DET
ejpam-4745	43	9	function	function	NOUN
ejpam-4745	43	10	φ(t	φ(t	PROPN
ejpam-4745	43	11	)	)	PUNCT
ejpam-4745	43	12	of	of	ADP
ejpam-4745	43	13	t	t	PROPN
ejpam-4745	43	14	>	>	X
ejpam-4745	43	15	0	0	PUNCT
ejpam-4745	43	16	is	be	AUX
ejpam-4745	43	17	the	the	DET
ejpam-4745	43	18	function	function	NOUN
ejpam-4745	43	19	φ	φ	X
ejpam-4745	43	20	(	(	PUNCT
ejpam-4745	43	21	s	s	NOUN
ejpam-4745	43	22	)	)	PUNCT
ejpam-4745	43	23	=	=	SYM
ejpam-4745	43	24	l[φ(t	l[φ(t	NOUN
ejpam-4745	43	25	)	)	PUNCT
ejpam-4745	43	26	]	]	PUNCT
ejpam-4745	43	27	,	,	PUNCT
ejpam-4745	43	28	defined	define	VERB
ejpam-4745	43	29	by	by	ADP
ejpam-4745	43	30	l	l	PROPN
ejpam-4745	44	1	[	[	X
ejpam-4745	44	2	φ	φ	X
ejpam-4745	44	3	(	(	PUNCT
ejpam-4745	44	4	t	t	PROPN
ejpam-4745	44	5	)	)	PUNCT
ejpam-4745	44	6	]	]	PUNCT
ejpam-4745	45	1	=	=	PUNCT
ejpam-4745	45	2	∫	∫	PROPN
ejpam-4745	45	3	∞	∞	NUM
ejpam-4745	45	4	0	0	NUM
ejpam-4745	45	5	e−stφ	e−stφ	NOUN
ejpam-4745	45	6	(	(	PUNCT
ejpam-4745	45	7	t)dt	t)dt	PROPN
ejpam-4745	45	8	,	,	PUNCT
ejpam-4745	45	9	re(s	re(s	ADJ
ejpam-4745	45	10	)	)	PUNCT
ejpam-4745	45	11	>	>	X
ejpam-4745	45	12	0	0	NUM
ejpam-4745	45	13	,	,	PUNCT
ejpam-4745	45	14	(	(	PUNCT
ejpam-4745	45	15	1	1	X
ejpam-4745	45	16	)	)	PUNCT
ejpam-4745	45	17	a.	a.	NOUN
ejpam-4745	45	18	qazza	qazza	PROPN
ejpam-4745	45	19	/	/	SYM
ejpam-4745	45	20	eur	eur	PROPN
ejpam-4745	45	21	.	.	PUNCT
ejpam-4745	46	1	j.	j.	PROPN
ejpam-4745	46	2	pure	pure	PROPN
ejpam-4745	46	3	appl	appl	PROPN
ejpam-4745	46	4	.	.	PROPN
ejpam-4745	46	5	math	math	PROPN
ejpam-4745	46	6	,	,	PUNCT
ejpam-4745	46	7	16	16	NUM
ejpam-4745	46	8	(	(	PUNCT
ejpam-4745	46	9	2	2	NUM
ejpam-4745	46	10	)	)	PUNCT
ejpam-4745	46	11	(	(	PUNCT
ejpam-4745	46	12	2023	2023	NUM
ejpam-4745	46	13	)	)	PUNCT
ejpam-4745	46	14	,	,	PUNCT
ejpam-4745	46	15	919	919	NUM
ejpam-4745	46	16	-	-	SYM
ejpam-4745	46	17	933	933	NUM
ejpam-4745	46	18	921	921	NUM
ejpam-4745	46	19	inverse	inverse	NOUN
ejpam-4745	46	20	laplace	laplace	NOUN
ejpam-4745	46	21	transform	transform	NOUN
ejpam-4745	46	22	of	of	ADP
ejpam-4745	46	23	φ	φ	PROPN
ejpam-4745	46	24	(	(	PUNCT
ejpam-4745	46	25	s	s	NOUN
ejpam-4745	46	26	)	)	PUNCT
ejpam-4745	46	27	is	be	AUX
ejpam-4745	46	28	given	give	VERB
ejpam-4745	46	29	by	by	ADP
ejpam-4745	46	30	l−1	l−1	PROPN
ejpam-4745	46	31	[	[	X
ejpam-4745	46	32	φ	φ	X
ejpam-4745	46	33	(	(	PUNCT
ejpam-4745	46	34	s	s	NOUN
ejpam-4745	46	35	)	)	PUNCT
ejpam-4745	46	36	]	]	PUNCT
ejpam-4745	47	1	=	=	SYM
ejpam-4745	47	2	1	1	NUM
ejpam-4745	47	3	2πi	2πi	ADJ
ejpam-4745	47	4	∫	∫	PROPN
ejpam-4745	47	5	c+i∞	c+i∞	PROPN
ejpam-4745	47	6	c−i∞	c−i∞	PROPN
ejpam-4745	47	7	estφ	estφ	X
ejpam-4745	47	8	(	(	PUNCT
ejpam-4745	47	9	s	s	X
ejpam-4745	47	10	)	)	PUNCT
ejpam-4745	47	11	ds	ds	PROPN
ejpam-4745	47	12	=	=	SYM
ejpam-4745	47	13	φ	φ	PROPN
ejpam-4745	47	14	(	(	PUNCT
ejpam-4745	47	15	t	t	PROPN
ejpam-4745	47	16	)	)	PUNCT
ejpam-4745	47	17	,	,	PUNCT
ejpam-4745	47	18	t	t	X
ejpam-4745	47	19	>	>	X
ejpam-4745	47	20	0	0	NUM
ejpam-4745	47	21	.	.	PUNCT
ejpam-4745	48	1	(	(	PUNCT
ejpam-4745	48	2	2	2	X
ejpam-4745	48	3	)	)	PUNCT
ejpam-4745	48	4	theorem	theorem	NOUN
ejpam-4745	48	5	1	1	NUM
ejpam-4745	48	6	.	.	PUNCT
ejpam-4745	49	1	[	[	X
ejpam-4745	49	2	27	27	NUM
ejpam-4745	49	3	]	]	X
ejpam-4745	49	4	if	if	SCONJ
ejpam-4745	49	5	the	the	DET
ejpam-4745	49	6	piecewise	piecewise	NOUN
ejpam-4745	49	7	continuous	continuous	ADJ
ejpam-4745	49	8	function	function	NOUN
ejpam-4745	49	9	φ	φ	PROPN
ejpam-4745	49	10	(	(	PUNCT
ejpam-4745	49	11	t	t	PROPN
ejpam-4745	49	12	)	)	PUNCT
ejpam-4745	49	13	and	and	CCONJ
ejpam-4745	49	14	of	of	ADP
ejpam-4745	49	15	exponential	exponential	ADJ
ejpam-4745	49	16	order	order	NOUN
ejpam-4745	49	17	k	k	NOUN
ejpam-4745	49	18	on	on	ADP
ejpam-4745	49	19	the	the	DET
ejpam-4745	49	20	interval	interval	NOUN
ejpam-4745	49	21	0	0	NUM
ejpam-4745	49	22	≤	≤	NUM
ejpam-4745	50	1	t	t	PROPN
ejpam-4745	50	2	<	<	X
ejpam-4745	50	3	∞.	∞.	PROPN
ejpam-4745	50	4	then	then	ADV
ejpam-4745	50	5	l	l	PROPN
ejpam-4745	51	1	[	[	X
ejpam-4745	51	2	φ(t	φ(t	PROPN
ejpam-4745	51	3	)	)	PUNCT
ejpam-4745	51	4	]	]	PUNCT
ejpam-4745	51	5	exists	exist	VERB
ejpam-4745	51	6	for	for	ADP
ejpam-4745	51	7	re(s	re(s	ADJ
ejpam-4745	51	8	)	)	PUNCT
ejpam-4745	51	9	>	>	X
ejpam-4745	52	1	k	k	PROPN
ejpam-4745	52	2	and	and	CCONJ
ejpam-4745	52	3	satisfies	satisfie	NOUN
ejpam-4745	52	4	|φ	|φ	PROPN
ejpam-4745	52	5	(	(	PUNCT
ejpam-4745	52	6	t)|	t)|	NOUN
ejpam-4745	52	7	≤mekt	≤mekt	NOUN
ejpam-4745	52	8	,	,	PUNCT
ejpam-4745	52	9	m	m	VERB
ejpam-4745	52	10	>	>	X
ejpam-4745	52	11	0	0	NUM
ejpam-4745	52	12	,	,	PUNCT
ejpam-4745	52	13	where	where	SCONJ
ejpam-4745	52	14	m	m	NOUN
ejpam-4745	52	15	is	be	AUX
ejpam-4745	52	16	a	a	DET
ejpam-4745	52	17	constant	constant	ADJ
ejpam-4745	52	18	.	.	PUNCT
ejpam-4745	53	1	then	then	ADV
ejpam-4745	53	2	laplace	laplace	NOUN
ejpam-4745	53	3	transform	transform	VERB
ejpam-4745	53	4	integral	integral	ADJ
ejpam-4745	53	5	converges	converge	NOUN
ejpam-4745	53	6	absolutely	absolutely	ADV
ejpam-4745	53	7	for	for	ADP
ejpam-4745	53	8	re	re	X
ejpam-4745	53	9	(	(	PUNCT
ejpam-4745	53	10	s	s	NOUN
ejpam-4745	53	11	)	)	PUNCT
ejpam-4745	53	12	>	>	X
ejpam-4745	53	13	k.	k.	PROPN
ejpam-4745	53	14	proof	proof	PROPN
ejpam-4745	53	15	.	.	PUNCT
ejpam-4745	54	1	using	use	VERB
ejpam-4745	54	2	the	the	DET
ejpam-4745	54	3	definition	definition	NOUN
ejpam-4745	54	4	of	of	ADP
ejpam-4745	54	5	laplace	laplace	NOUN
ejpam-4745	54	6	transform	transform	NOUN
ejpam-4745	54	7	,	,	PUNCT
ejpam-4745	54	8	we	we	PRON
ejpam-4745	54	9	get	get	VERB
ejpam-4745	54	10	|φ	|φ	PROPN
ejpam-4745	54	11	(	(	PUNCT
ejpam-4745	54	12	s)|	s)|	NOUN
ejpam-4745	54	13	=	=	SYM
ejpam-4745	54	14	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-4745	54	15	∞	∞	NOUN
ejpam-4745	54	16	0	0	NUM
ejpam-4745	54	17	e−stφ	e−stφ	NOUN
ejpam-4745	55	1	(	(	PUNCT
ejpam-4745	55	2	t)dt	t)dt	PROPN
ejpam-4745	55	3	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4745	55	4	≤	≤	NUM
ejpam-4745	55	5	∫	∫	PROPN
ejpam-4745	55	6	∞	∞	NOUN
ejpam-4745	55	7	0	0	NUM
ejpam-4745	55	8	e−st	e−st	VERB
ejpam-4745	55	9	|φ	|φ	PROPN
ejpam-4745	55	10	(	(	PUNCT
ejpam-4745	55	11	t)|dt	t)|dt	PROPN
ejpam-4745	55	12	≤m	≤m	PROPN
ejpam-4745	55	13	∫	∫	PROPN
ejpam-4745	55	14	∞	∞	PROPN
ejpam-4745	55	15	0	0	NUM
ejpam-4745	56	1	e−(s−k)tdt	e−(s−k)tdt	VERB
ejpam-4745	56	2	=	=	PUNCT
ejpam-4745	56	3	m	m	NOUN
ejpam-4745	56	4	s−	s−	PROPN
ejpam-4745	56	5	k	k	PROPN
ejpam-4745	56	6	,	,	PUNCT
ejpam-4745	56	7	where	where	SCONJ
ejpam-4745	56	8	re	re	X
ejpam-4745	56	9	(	(	PUNCT
ejpam-4745	56	10	s	s	NOUN
ejpam-4745	56	11	)	)	PUNCT
ejpam-4745	56	12	>	>	PUNCT
ejpam-4745	56	13	k.	k.	PROPN
ejpam-4745	57	1	thus	thus	ADV
ejpam-4745	57	2	,	,	PUNCT
ejpam-4745	57	3	laplace	laplace	NOUN
ejpam-4745	57	4	transform	transform	VERB
ejpam-4745	57	5	integral	integral	ADJ
ejpam-4745	57	6	converges	converge	NOUN
ejpam-4745	57	7	absolutely	absolutely	ADV
ejpam-4745	57	8	for	for	ADP
ejpam-4745	57	9	re	re	X
ejpam-4745	57	10	(	(	PUNCT
ejpam-4745	57	11	s	s	NOUN
ejpam-4745	57	12	)	)	PUNCT
ejpam-4745	57	13	>	>	PUNCT
ejpam-4745	57	14	k.	k.	PROPN
ejpam-4745	58	1	definition	definition	NOUN
ejpam-4745	58	2	2	2	NUM
ejpam-4745	58	3	.	.	PUNCT
ejpam-4745	59	1	[	[	X
ejpam-4745	59	2	18	18	NUM
ejpam-4745	59	3	]	]	X
ejpam-4745	59	4	the	the	DET
ejpam-4745	59	5	first	first	ADJ
ejpam-4745	59	6	order	order	NOUN
ejpam-4745	59	7	ara	ara	PROPN
ejpam-4745	59	8	integral	integral	ADJ
ejpam-4745	59	9	transform	transform	NOUN
ejpam-4745	59	10	of	of	ADP
ejpam-4745	59	11	a	a	DET
ejpam-4745	59	12	continuous	continuous	ADJ
ejpam-4745	59	13	function	function	NOUN
ejpam-4745	59	14	φ(u	φ(u	NOUN
ejpam-4745	59	15	)	)	PUNCT
ejpam-4745	59	16	on	on	ADP
ejpam-4745	59	17	the	the	DET
ejpam-4745	59	18	interval	interval	NOUN
ejpam-4745	59	19	(	(	PUNCT
ejpam-4745	59	20	0,∞	0,∞	NOUN
ejpam-4745	59	21	)	)	PUNCT
ejpam-4745	59	22	is	be	AUX
ejpam-4745	59	23	introduced	introduce	VERB
ejpam-4745	59	24	as	as	ADP
ejpam-4745	59	25	g	g	PROPN
ejpam-4745	59	26	[	[	X
ejpam-4745	59	27	φ	φ	X
ejpam-4745	59	28	(	(	PUNCT
ejpam-4745	59	29	u	u	NOUN
ejpam-4745	59	30	)	)	PUNCT
ejpam-4745	59	31	]	]	PUNCT
ejpam-4745	59	32	(	(	PUNCT
ejpam-4745	59	33	v	v	NOUN
ejpam-4745	59	34	)	)	PUNCT
ejpam-4745	59	35	=	=	SYM
ejpam-4745	59	36	φ	φ	PROPN
ejpam-4745	59	37	(	(	PUNCT
ejpam-4745	59	38	v	v	NOUN
ejpam-4745	59	39	)	)	PUNCT
ejpam-4745	59	40	=	=	SYM
ejpam-4745	60	1	v	v	NUM
ejpam-4745	60	2	∫	∫	PROPN
ejpam-4745	60	3	∞	∞	PROPN
ejpam-4745	60	4	0	0	NUM
ejpam-4745	60	5	e−uvφ	e−uvφ	NOUN
ejpam-4745	60	6	(	(	PUNCT
ejpam-4745	60	7	u)du	u)du	PROPN
ejpam-4745	60	8	,	,	PUNCT
ejpam-4745	60	9	re(v	re(v	NOUN
ejpam-4745	60	10	)	)	PUNCT
ejpam-4745	60	11	>	>	X
ejpam-4745	60	12	0	0	X
ejpam-4745	60	13	.	.	PUNCT
ejpam-4745	61	1	(	(	PUNCT
ejpam-4745	61	2	3	3	X
ejpam-4745	61	3	)	)	PUNCT
ejpam-4745	61	4	the	the	DET
ejpam-4745	61	5	inverse	inverse	NOUN
ejpam-4745	61	6	ara	ara	PROPN
ejpam-4745	61	7	transform	transform	NOUN
ejpam-4745	61	8	is	be	AUX
ejpam-4745	61	9	defined	define	VERB
ejpam-4745	61	10	by	by	ADP
ejpam-4745	61	11	g−1	g−1	PROPN
ejpam-4745	62	1	[	[	X
ejpam-4745	62	2	g	g	X
ejpam-4745	62	3	[	[	X
ejpam-4745	62	4	φ	φ	X
ejpam-4745	62	5	(	(	PUNCT
ejpam-4745	62	6	u	u	NOUN
ejpam-4745	62	7	)	)	PUNCT
ejpam-4745	62	8	]	]	PUNCT
ejpam-4745	62	9	]	]	X
ejpam-4745	62	10	=	=	SYM
ejpam-4745	62	11	1	1	NUM
ejpam-4745	62	12	2πi	2πi	ADJ
ejpam-4745	62	13	∫	∫	PROPN
ejpam-4745	62	14	c+i∞	c+i∞	PROPN
ejpam-4745	62	15	c−i∞	c−i∞	PROPN
ejpam-4745	62	16	euvφ	euvφ	NOUN
ejpam-4745	62	17	(	(	PUNCT
ejpam-4745	62	18	v	v	NOUN
ejpam-4745	62	19	)	)	PUNCT
ejpam-4745	62	20	dv	dv	PROPN
ejpam-4745	62	21	=	=	SYM
ejpam-4745	62	22	φ	φ	PROPN
ejpam-4745	62	23	(	(	PUNCT
ejpam-4745	62	24	u	u	NOUN
ejpam-4745	62	25	)	)	PUNCT
ejpam-4745	62	26	,	,	PUNCT
ejpam-4745	62	27	(	(	PUNCT
ejpam-4745	62	28	4	4	X
ejpam-4745	62	29	)	)	PUNCT
ejpam-4745	62	30	where	where	SCONJ
ejpam-4745	62	31	φ	φ	PROPN
ejpam-4745	62	32	(	(	PUNCT
ejpam-4745	62	33	v	v	NOUN
ejpam-4745	62	34	)	)	PUNCT
ejpam-4745	62	35	=	=	SYM
ejpam-4745	62	36	∫	∫	PROPN
ejpam-4745	63	1	∞	∞	PROPN
ejpam-4745	63	2	0	0	NUM
ejpam-4745	63	3	e−uvφ	e−uvφ	NOUN
ejpam-4745	63	4	(	(	PUNCT
ejpam-4745	63	5	u)du	u)du	PROPN
ejpam-4745	63	6	.	.	PROPN
ejpam-4745	63	7	theorem	theorem	VERB
ejpam-4745	63	8	2	2	NUM
ejpam-4745	63	9	.	.	PUNCT
ejpam-4745	64	1	[	[	X
ejpam-4745	64	2	18	18	NUM
ejpam-4745	64	3	]	]	X
ejpam-4745	64	4	if	if	SCONJ
ejpam-4745	64	5	φ(u	φ(u	NOUN
ejpam-4745	64	6	)	)	PUNCT
ejpam-4745	64	7	is	be	AUX
ejpam-4745	64	8	piecewise	piecewise	NOUN
ejpam-4745	64	9	continuous	continuous	ADJ
ejpam-4745	64	10	in	in	ADP
ejpam-4745	64	11	0	0	NUM
ejpam-4745	64	12	≤	≤	NUM
ejpam-4745	64	13	u	u	NOUN
ejpam-4745	64	14	≤	≤	NOUN
ejpam-4745	64	15	k	k	PROPN
ejpam-4745	64	16	and	and	CCONJ
ejpam-4745	64	17	satisfies	satisfie	NOUN
ejpam-4745	64	18	|uφ	|uφ	X
ejpam-4745	64	19	(	(	PUNCT
ejpam-4745	64	20	u)|	u)|	NOUN
ejpam-4745	64	21	≤meku	≤meku	PROPN
ejpam-4745	64	22	,	,	PUNCT
ejpam-4745	64	23	m	m	VERB
ejpam-4745	64	24	>	>	X
ejpam-4745	64	25	0	0	NUM
ejpam-4745	64	26	,	,	PUNCT
ejpam-4745	64	27	where	where	SCONJ
ejpam-4745	64	28	m	m	NOUN
ejpam-4745	64	29	is	be	AUX
ejpam-4745	64	30	a	a	DET
ejpam-4745	64	31	constant	constant	ADJ
ejpam-4745	64	32	,	,	PUNCT
ejpam-4745	64	33	then	then	ADV
ejpam-4745	64	34	the	the	DET
ejpam-4745	64	35	ara	ara	NOUN
ejpam-4745	64	36	transform	transform	NOUN
ejpam-4745	64	37	exists	exist	VERB
ejpam-4745	64	38	for	for	ADP
ejpam-4745	64	39	all	all	DET
ejpam-4745	64	40	re(v	re(v	NOUN
ejpam-4745	64	41	)	)	PUNCT
ejpam-4745	64	42	>	>	PUNCT
ejpam-4745	65	1	k.	k.	PROPN
ejpam-4745	65	2	proof	proof	PROPN
ejpam-4745	65	3	.	.	PUNCT
ejpam-4745	66	1	using	use	VERB
ejpam-4745	66	2	the	the	DET
ejpam-4745	66	3	definition	definition	NOUN
ejpam-4745	66	4	of	of	ADP
ejpam-4745	66	5	the	the	DET
ejpam-4745	66	6	ara	ara	PROPN
ejpam-4745	66	7	transform	transform	NOUN
ejpam-4745	66	8	,	,	PUNCT
ejpam-4745	66	9	we	we	PRON
ejpam-4745	66	10	have	have	VERB
ejpam-4745	66	11	|φ	|φ	PROPN
ejpam-4745	66	12	(	(	PUNCT
ejpam-4745	66	13	n	n	CCONJ
ejpam-4745	66	14	,	,	PUNCT
ejpam-4745	66	15	v)|	v)|	NOUN
ejpam-4745	66	16	=	=	SYM
ejpam-4745	66	17	∣∣∣∣v	∣∣∣∣v	PROPN
ejpam-4745	66	18	∫	∫	PROPN
ejpam-4745	66	19	∞	∞	PROPN
ejpam-4745	66	20	0	0	NUM
ejpam-4745	66	21	ue−uvφ	ue−uvφ	ADJ
ejpam-4745	66	22	(	(	PUNCT
ejpam-4745	66	23	u)du	u)du	PROPN
ejpam-4745	66	24	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4745	66	25	=	=	PUNCT
ejpam-4745	66	26	∣∣∣∣v	∣∣∣∣v	PROPN
ejpam-4745	66	27	∫	∫	PROPN
ejpam-4745	67	1	α	α	NOUN
ejpam-4745	67	2	0	0	PUNCT
ejpam-4745	67	3	ue−uvφ	ue−uvφ	PROPN
ejpam-4745	67	4	(	(	PUNCT
ejpam-4745	67	5	u)du+	u)du+	PROPN
ejpam-4745	67	6	v	v	NUM
ejpam-4745	67	7	∫	∫	PROPN
ejpam-4745	67	8	∞	∞	PROPN
ejpam-4745	67	9	α	α	PROPN
ejpam-4745	67	10	ue−uvφ	ue−uvφ	ADJ
ejpam-4745	67	11	(	(	PUNCT
ejpam-4745	67	12	u)du	u)du	PROPN
ejpam-4745	67	13	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4745	67	14	≤	≤	NOUN
ejpam-4745	67	15	v	v	ADP
ejpam-4745	67	16	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-4745	67	17	∞	∞	NUM
ejpam-4745	67	18	α	α	PROPN
ejpam-4745	67	19	ue−uvφ	ue−uvφ	ADJ
ejpam-4745	67	20	(	(	PUNCT
ejpam-4745	67	21	u)du	u)du	PROPN
ejpam-4745	67	22	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4745	67	23	≤	≤	NUM
ejpam-4745	67	24	v	v	ADP
ejpam-4745	67	25	∫	∫	PROPN
ejpam-4745	67	26	∞	∞	PROPN
ejpam-4745	67	27	α	α	PROPN
ejpam-4745	67	28	e−uv	e−uv	NOUN
ejpam-4745	67	29	|u	|u	ADJ
ejpam-4745	67	30	φ	φ	PROPN
ejpam-4745	67	31	(	(	PUNCT
ejpam-4745	67	32	u)|du	u)|du	PROPN
ejpam-4745	67	33	≤	≤	PROPN
ejpam-4745	67	34	v	v	NUM
ejpam-4745	67	35	∫	∫	PROPN
ejpam-4745	67	36	∞	∞	NUM
ejpam-4745	67	37	α	α	NOUN
ejpam-4745	67	38	e−uvmekudu	e−uvmekudu	PUNCT
ejpam-4745	67	39	=	=	SYM
ejpam-4745	67	40	vm	vm	PROPN
ejpam-4745	67	41	∫	∫	PROPN
ejpam-4745	67	42	∞	∞	PROPN
ejpam-4745	67	43	α	α	PROPN
ejpam-4745	67	44	e−(v−k)udu	e−(v−k)udu	PROPN
ejpam-4745	67	45	=	=	SYM
ejpam-4745	67	46	vm	vm	PROPN
ejpam-4745	67	47	v	v	ADP
ejpam-4745	67	48	−	−	PROPN
ejpam-4745	67	49	k	k	PROPN
ejpam-4745	67	50	e−α(v−k	e−α(v−k	PROPN
ejpam-4745	67	51	)	)	PUNCT
ejpam-4745	67	52	.	.	PUNCT
ejpam-4745	68	1	a.	a.	NOUN
ejpam-4745	68	2	qazza	qazza	PROPN
ejpam-4745	68	3	/	/	SYM
ejpam-4745	68	4	eur	eur	PROPN
ejpam-4745	68	5	.	.	PUNCT
ejpam-4745	69	1	j.	j.	PROPN
ejpam-4745	69	2	pure	pure	PROPN
ejpam-4745	69	3	appl	appl	PROPN
ejpam-4745	69	4	.	.	PROPN
ejpam-4745	69	5	math	math	PROPN
ejpam-4745	69	6	,	,	PUNCT
ejpam-4745	69	7	16	16	NUM
ejpam-4745	69	8	(	(	PUNCT
ejpam-4745	69	9	2	2	NUM
ejpam-4745	69	10	)	)	PUNCT
ejpam-4745	69	11	(	(	PUNCT
ejpam-4745	69	12	2023	2023	NUM
ejpam-4745	69	13	)	)	PUNCT
ejpam-4745	69	14	,	,	PUNCT
ejpam-4745	69	15	919	919	NUM
ejpam-4745	69	16	-	-	SYM
ejpam-4745	69	17	933	933	NUM
ejpam-4745	69	18	922	922	NUM
ejpam-4745	69	19	this	this	DET
ejpam-4745	69	20	integral	integral	ADJ
ejpam-4745	69	21	converges	converge	NOUN
ejpam-4745	69	22	for	for	ADP
ejpam-4745	69	23	all	all	DET
ejpam-4745	69	24	re(v	re(v	NOUN
ejpam-4745	69	25	)	)	PUNCT
ejpam-4745	69	26	>	>	PUNCT
ejpam-4745	69	27	k.	k.	PROPN
ejpam-4745	70	1	thus	thus	ADV
ejpam-4745	70	2	,	,	PUNCT
ejpam-4745	70	3	g	g	PROPN
ejpam-4745	70	4	[	[	X
ejpam-4745	70	5	φ	φ	X
ejpam-4745	70	6	(	(	PUNCT
ejpam-4745	70	7	u	u	NOUN
ejpam-4745	70	8	)	)	PUNCT
ejpam-4745	70	9	]	]	PUNCT
ejpam-4745	70	10	exists	exist	VERB
ejpam-4745	70	11	.	.	PUNCT
ejpam-4745	71	1	in	in	ADP
ejpam-4745	71	2	the	the	DET
ejpam-4745	71	3	table	table	NOUN
ejpam-4745	71	4	below	below	ADV
ejpam-4745	71	5	(	(	PUNCT
ejpam-4745	71	6	table	table	NOUN
ejpam-4745	71	7	1	1	NUM
ejpam-4745	71	8	)	)	PUNCT
ejpam-4745	71	9	we	we	PRON
ejpam-4745	71	10	introduce	introduce	VERB
ejpam-4745	71	11	the	the	DET
ejpam-4745	71	12	laplace	laplace	NOUN
ejpam-4745	71	13	transform	transform	NOUN
ejpam-4745	71	14	and	and	CCONJ
ejpam-4745	71	15	the	the	DET
ejpam-4745	71	16	ara	ara	NOUN
ejpam-4745	71	17	transform	transform	NOUN
ejpam-4745	71	18	for	for	ADP
ejpam-4745	71	19	some	some	DET
ejpam-4745	71	20	functions	function	NOUN
ejpam-4745	71	21	and	and	CCONJ
ejpam-4745	71	22	give	give	VERB
ejpam-4745	71	23	some	some	DET
ejpam-4745	71	24	basic	basic	ADJ
ejpam-4745	71	25	properties	property	NOUN
ejpam-4745	71	26	of	of	ADP
ejpam-4745	71	27	both	both	DET
ejpam-4745	71	28	transforms	transform	VERB
ejpam-4745	71	29	,	,	PUNCT
ejpam-4745	71	30	where	where	SCONJ
ejpam-4745	71	31	φ	φ	PROPN
ejpam-4745	71	32	(	(	PUNCT
ejpam-4745	71	33	t	t	PROPN
ejpam-4745	71	34	)	)	PUNCT
ejpam-4745	71	35	and	and	CCONJ
ejpam-4745	71	36	ψ(t	ψ(t	PROPN
ejpam-4745	71	37	)	)	PUNCT
ejpam-4745	71	38	are	be	AUX
ejpam-4745	71	39	continuous	continuous	ADJ
ejpam-4745	71	40	functions	function	NOUN
ejpam-4745	71	41	,	,	PUNCT
ejpam-4745	71	42	α	α	X
ejpam-4745	71	43	,	,	PUNCT
ejpam-4745	71	44	β	β	PROPN
ejpam-4745	71	45	∈	∈	PROPN
ejpam-4745	71	46	r.	r.	PROPN
ejpam-4745	71	47	table	table	NOUN
ejpam-4745	71	48	1	1	NUM
ejpam-4745	71	49	:	:	PUNCT
ejpam-4745	71	50	laplace	laplace	NOUN
ejpam-4745	71	51	transform	transform	NOUN
ejpam-4745	71	52	and	and	CCONJ
ejpam-4745	71	53	ara	ara	NOUN
ejpam-4745	71	54	transform	transform	NOUN
ejpam-4745	71	55	for	for	ADP
ejpam-4745	71	56	some	some	DET
ejpam-4745	71	57	basic	basic	ADJ
ejpam-4745	71	58	functions	function	NOUN
ejpam-4745	71	59	.	.	PUNCT
ejpam-4745	72	1	laplace	laplace	PROPN
ejpam-4745	72	2	transform	transform	VERB
ejpam-4745	72	3	ara	ara	PROPN
ejpam-4745	72	4	transform	transform	VERB
ejpam-4745	72	5	αfφ	αfφ	PROPN
ejpam-4745	72	6	(	(	PUNCT
ejpam-4745	72	7	t	t	NOUN
ejpam-4745	72	8	)	)	PUNCT
ejpam-4745	72	9	+	+	CCONJ
ejpam-4745	72	10	β	β	X
ejpam-4745	72	11	ψ(t	ψ(t	PROPN
ejpam-4745	72	12	)	)	PUNCT
ejpam-4745	72	13	α	α	X
ejpam-4745	72	14	l	l	X
ejpam-4745	73	1	[	[	X
ejpam-4745	73	2	φ	φ	X
ejpam-4745	73	3	(	(	PUNCT
ejpam-4745	73	4	t	t	PROPN
ejpam-4745	73	5	)	)	PUNCT
ejpam-4745	73	6	]	]	PUNCT
ejpam-4745	74	1	+	+	CCONJ
ejpam-4745	74	2	β	β	X
ejpam-4745	74	3	l	l	NOUN
ejpam-4745	75	1	[	[	X
ejpam-4745	75	2	ψ(t	ψ(t	X
ejpam-4745	75	3	)	)	PUNCT
ejpam-4745	75	4	]	]	PUNCT
ejpam-4745	76	1	α	α	DET
ejpam-4745	76	2	g	g	PROPN
ejpam-4745	77	1	[	[	X
ejpam-4745	77	2	φ	φ	X
ejpam-4745	77	3	(	(	PUNCT
ejpam-4745	77	4	t	t	PROPN
ejpam-4745	77	5	)	)	PUNCT
ejpam-4745	77	6	]	]	PUNCT
ejpam-4745	78	1	+	+	CCONJ
ejpam-4745	78	2	β	β	X
ejpam-4745	78	3	g	g	X
ejpam-4745	78	4	[	[	X
ejpam-4745	78	5	ψ(t	ψ(t	PROPN
ejpam-4745	78	6	)	)	PUNCT
ejpam-4745	78	7	]	]	PUNCT
ejpam-4745	78	8	tα	tα	VERB
ejpam-4745	78	9	γ(α+1	γ(α+1	NOUN
ejpam-4745	78	10	)	)	PUNCT
ejpam-4745	78	11	sα+1	sα+1	NOUN
ejpam-4745	78	12	,	,	PUNCT
ejpam-4745	78	13	α	α	PRON
ejpam-4745	78	14	≥	≥	NOUN
ejpam-4745	78	15	0	0	NUM
ejpam-4745	78	16	γ(α+1	γ(α+1	NOUN
ejpam-4745	78	17	)	)	PUNCT
ejpam-4745	78	18	vα	vα	INTJ
ejpam-4745	78	19	,	,	PUNCT
ejpam-4745	78	20	α	α	X
ejpam-4745	78	21	>	>	X
ejpam-4745	78	22	0	0	PUNCT
ejpam-4745	78	23	eαx	eαx	PROPN
ejpam-4745	78	24	1	1	NUM
ejpam-4745	78	25	s−α	s−α	NOUN
ejpam-4745	78	26	,	,	PUNCT
ejpam-4745	78	27	α	α	PROPN
ejpam-4745	78	28	∈	∈	NOUN
ejpam-4745	78	29	r	r	NOUN
ejpam-4745	78	30	v	v	ADP
ejpam-4745	78	31	v−α	v−α	PROPN
ejpam-4745	78	32	φ′	φ′	NUM
ejpam-4745	78	33	(	(	PUNCT
ejpam-4745	78	34	t	t	NOUN
ejpam-4745	78	35	)	)	PUNCT
ejpam-4745	78	36	sl	sl	PROPN
ejpam-4745	79	1	[	[	X
ejpam-4745	79	2	φ	φ	X
ejpam-4745	79	3	(	(	PUNCT
ejpam-4745	79	4	t)]−	t)]−	PROPN
ejpam-4745	79	5	φ	φ	PROPN
ejpam-4745	79	6	(	(	PUNCT
ejpam-4745	79	7	0	0	NUM
ejpam-4745	79	8	)	)	PUNCT
ejpam-4745	79	9	vg	vg	NOUN
ejpam-4745	80	1	[	[	X
ejpam-4745	80	2	φ	φ	X
ejpam-4745	80	3	(	(	PUNCT
ejpam-4745	80	4	t)]−	t)]−	NOUN
ejpam-4745	80	5	vφ(0	vφ(0	PROPN
ejpam-4745	80	6	)	)	PUNCT
ejpam-4745	80	7	φ(m	φ(m	NOUN
ejpam-4745	80	8	)	)	PUNCT
ejpam-4745	80	9	(	(	PUNCT
ejpam-4745	80	10	t	t	X
ejpam-4745	80	11	)	)	PUNCT
ejpam-4745	80	12	sml	sml	NOUN
ejpam-4745	81	1	[	[	X
ejpam-4745	81	2	φ	φ	X
ejpam-4745	81	3	(	(	PUNCT
ejpam-4745	81	4	t)]−	t)]−	ADV
ejpam-4745	81	5	∑m	∑m	INTJ
ejpam-4745	82	1	l=1	l=1	X
ejpam-4745	82	2	s	s	NOUN
ejpam-4745	82	3	m−lφ(l−1	m−lφ(l−1	NOUN
ejpam-4745	82	4	)	)	PUNCT
ejpam-4745	82	5	(	(	PUNCT
ejpam-4745	82	6	0	0	X
ejpam-4745	82	7	)	)	PUNCT
ejpam-4745	82	8	vmg	vmg	NOUN
ejpam-4745	83	1	[	[	X
ejpam-4745	83	2	φ	φ	X
ejpam-4745	83	3	(	(	PUNCT
ejpam-4745	83	4	t)]−	t)]−	ADV
ejpam-4745	83	5	∑m	∑m	ADJ
ejpam-4745	84	1	l=1	l=1	PROPN
ejpam-4745	84	2	v	v	NUM
ejpam-4745	84	3	m−l+1φ(l−1	m−l+1φ(l−1	NOUN
ejpam-4745	84	4	)	)	PUNCT
ejpam-4745	84	5	(	(	PUNCT
ejpam-4745	84	6	0	0	X
ejpam-4745	84	7	)	)	PUNCT
ejpam-4745	84	8	sin	sin	NOUN
ejpam-4745	84	9	(	(	PUNCT
ejpam-4745	84	10	αt	αt	NOUN
ejpam-4745	84	11	)	)	PUNCT
ejpam-4745	84	12	α	α	NOUN
ejpam-4745	85	1	s2+α2	s2+α2	ADV
ejpam-4745	85	2	αv	αv	ADP
ejpam-4745	85	3	v2+α2	v2+α2	PROPN
ejpam-4745	85	4	cos	cos	PROPN
ejpam-4745	85	5	(	(	PUNCT
ejpam-4745	85	6	αt	αt	NOUN
ejpam-4745	85	7	)	)	PUNCT
ejpam-4745	85	8	s	s	PART
ejpam-4745	85	9	s2+α2	s2+α2	PROPN
ejpam-4745	85	10	v2	v2	NOUN
ejpam-4745	85	11	v2+α2	v2+α2	PROPN
ejpam-4745	85	12	sinh	sinh	NOUN
ejpam-4745	85	13	(	(	PUNCT
ejpam-4745	85	14	αt	αt	NOUN
ejpam-4745	85	15	)	)	PUNCT
ejpam-4745	85	16	α	α	X
ejpam-4745	85	17	s2−α2	s2−α2	PUNCT
ejpam-4745	85	18	αv	αv	NOUN
ejpam-4745	85	19	v2−α2	v2−α2	X
ejpam-4745	85	20	cosh	cosh	NOUN
ejpam-4745	85	21	(	(	PUNCT
ejpam-4745	85	22	αt	αt	NOUN
ejpam-4745	85	23	)	)	PUNCT
ejpam-4745	85	24	s	s	PART
ejpam-4745	85	25	s2−α2	s2−α2	NUM
ejpam-4745	85	26	v2	v2	NOUN
ejpam-4745	85	27	v2−α2	v2−α2	X
ejpam-4745	85	28	,	,	PUNCT
ejpam-4745	85	29	(	(	PUNCT
ejpam-4745	85	30	φ	φ	X
ejpam-4745	85	31	∗	∗	X
ejpam-4745	85	32	ψ)(t	ψ)(t	PUNCT
ejpam-4745	85	33	)	)	PUNCT
ejpam-4745	85	34	l	l	NOUN
ejpam-4745	86	1	[	[	X
ejpam-4745	86	2	φ	φ	X
ejpam-4745	86	3	(	(	PUNCT
ejpam-4745	86	4	t	t	PROPN
ejpam-4745	86	5	)	)	PUNCT
ejpam-4745	86	6	]	]	PUNCT
ejpam-4745	86	7	l	l	PUNCT
ejpam-4745	87	1	[	[	X
ejpam-4745	87	2	ψ	ψ	X
ejpam-4745	87	3	(	(	PUNCT
ejpam-4745	87	4	t	t	PROPN
ejpam-4745	87	5	)	)	PUNCT
ejpam-4745	87	6	]	]	PUNCT
ejpam-4745	87	7	g[φ(t	g[φ(t	X
ejpam-4745	87	8	)	)	PUNCT
ejpam-4745	87	9	]	]	PUNCT
ejpam-4745	87	10	g[ψ(t	g[ψ(t	PROPN
ejpam-4745	87	11	)	)	PUNCT
ejpam-4745	87	12	]	]	PUNCT
ejpam-4745	87	13	v	v	ADP
ejpam-4745	87	14	3	3	NUM
ejpam-4745	87	15	.	.	NOUN
ejpam-4745	87	16	double	double	ADJ
ejpam-4745	87	17	laplace	laplace	NOUN
ejpam-4745	87	18	-	-	PUNCT
ejpam-4745	87	19	ara	ara	NOUN
ejpam-4745	87	20	transform	transform	NOUN
ejpam-4745	87	21	of	of	ADP
ejpam-4745	87	22	first	first	ADJ
ejpam-4745	87	23	order	order	NOUN
ejpam-4745	87	24	(	(	PUNCT
ejpam-4745	87	25	dl	dl	NOUN
ejpam-4745	87	26	-	-	PUNCT
ejpam-4745	87	27	arat	arat	NOUN
ejpam-4745	87	28	)	)	PUNCT
ejpam-4745	87	29	the	the	DET
ejpam-4745	87	30	integral	integral	ADJ
ejpam-4745	87	31	transform	transform	NOUN
ejpam-4745	87	32	dl	dl	NOUN
ejpam-4745	87	33	-	-	PUNCT
ejpam-4745	87	34	arat	arat	PROPN
ejpam-4745	87	35	is	be	AUX
ejpam-4745	87	36	introduced	introduce	VERB
ejpam-4745	87	37	in	in	ADP
ejpam-4745	87	38	this	this	DET
ejpam-4745	87	39	section	section	NOUN
ejpam-4745	87	40	that	that	PRON
ejpam-4745	87	41	combines	combine	VERB
ejpam-4745	87	42	the	the	DET
ejpam-4745	87	43	laplace	laplace	NOUN
ejpam-4745	87	44	transform	transform	NOUN
ejpam-4745	87	45	and	and	CCONJ
ejpam-4745	87	46	the	the	DET
ejpam-4745	87	47	ara	ara	PROPN
ejpam-4745	87	48	transform	transform	NOUN
ejpam-4745	87	49	of	of	ADP
ejpam-4745	87	50	first	first	ADJ
ejpam-4745	87	51	order	order	NOUN
ejpam-4745	87	52	.	.	PUNCT
ejpam-4745	88	1	a	a	DET
ejpam-4745	88	2	fundamental	fundamental	ADJ
ejpam-4745	88	3	properties	property	NOUN
ejpam-4745	88	4	and	and	CCONJ
ejpam-4745	88	5	theorems	theorem	NOUN
ejpam-4745	88	6	for	for	ADP
ejpam-4745	88	7	dl	dl	PROPN
ejpam-4745	88	8	-	-	PUNCT
ejpam-4745	88	9	ara	ara	PROPN
ejpam-4745	88	10	are	be	AUX
ejpam-4745	88	11	presented	present	VERB
ejpam-4745	88	12	.	.	PUNCT
ejpam-4745	89	1	definition	definition	NOUN
ejpam-4745	89	2	3	3	NUM
ejpam-4745	89	3	.	.	PUNCT
ejpam-4745	90	1	the	the	DET
ejpam-4745	90	2	dl	dl	PROPN
ejpam-4745	90	3	-	-	PUNCT
ejpam-4745	90	4	arat	arat	NOUN
ejpam-4745	90	5	of	of	ADP
ejpam-4745	90	6	a	a	DET
ejpam-4745	90	7	continuous	continuous	ADJ
ejpam-4745	90	8	function	function	NOUN
ejpam-4745	90	9	φ(t	φ(t	PROPN
ejpam-4745	90	10	,	,	PUNCT
ejpam-4745	90	11	u	u	NOUN
ejpam-4745	90	12	)	)	PUNCT
ejpam-4745	90	13	is	be	AUX
ejpam-4745	90	14	defined	define	VERB
ejpam-4745	90	15	as	as	ADP
ejpam-4745	90	16	ltgu	ltgu	NOUN
ejpam-4745	90	17	[	[	X
ejpam-4745	90	18	φ	φ	X
ejpam-4745	90	19	(	(	PUNCT
ejpam-4745	90	20	t	t	PROPN
ejpam-4745	90	21	,	,	PUNCT
ejpam-4745	90	22	u	u	NOUN
ejpam-4745	90	23	)	)	PUNCT
ejpam-4745	90	24	]	]	PUNCT
ejpam-4745	91	1	=	=	SYM
ejpam-4745	91	2	φ	φ	X
ejpam-4745	91	3	(	(	PUNCT
ejpam-4745	91	4	s	s	PROPN
ejpam-4745	91	5	,	,	PUNCT
ejpam-4745	91	6	v	v	NOUN
ejpam-4745	91	7	)	)	PUNCT
ejpam-4745	91	8	=	=	SYM
ejpam-4745	91	9	v	v	NUM
ejpam-4745	91	10	∫	∫	PROPN
ejpam-4745	91	11	∞	∞	NUM
ejpam-4745	91	12	0	0	NUM
ejpam-4745	91	13	∫	∫	PROPN
ejpam-4745	91	14	∞	∞	NOUN
ejpam-4745	91	15	0	0	PUNCT
ejpam-4745	92	1	e−st−uvφ	e−st−uvφ	PROPN
ejpam-4745	92	2	(	(	PUNCT
ejpam-4745	92	3	t	t	PROPN
ejpam-4745	92	4	,	,	PUNCT
ejpam-4745	92	5	u)dt	u)dt	PROPN
ejpam-4745	92	6	du	du	PROPN
ejpam-4745	92	7	,	,	PUNCT
ejpam-4745	92	8	s	s	PROPN
ejpam-4745	92	9	,	,	PUNCT
ejpam-4745	92	10	v	v	ADP
ejpam-4745	92	11	>	>	X
ejpam-4745	92	12	0	0	NUM
ejpam-4745	92	13	.	.	PUNCT
ejpam-4745	93	1	(	(	PUNCT
ejpam-4745	93	2	5	5	NUM
ejpam-4745	93	3	)	)	PUNCT
ejpam-4745	93	4	clearly	clearly	ADV
ejpam-4745	93	5	that	that	SCONJ
ejpam-4745	93	6	dl	dl	PROPN
ejpam-4745	93	7	-	-	PUNCT
ejpam-4745	93	8	arat	arat	PROPN
ejpam-4745	93	9	is	be	AUX
ejpam-4745	93	10	a	a	DET
ejpam-4745	93	11	linear	linear	ADJ
ejpam-4745	93	12	ltgu	ltgu	NOUN
ejpam-4745	93	13	[	[	X
ejpam-4745	93	14	α	α	X
ejpam-4745	93	15	φ	φ	X
ejpam-4745	93	16	(	(	PUNCT
ejpam-4745	93	17	t	t	PROPN
ejpam-4745	93	18	,	,	PUNCT
ejpam-4745	93	19	u	u	NOUN
ejpam-4745	93	20	)	)	PUNCT
ejpam-4745	93	21	+	+	CCONJ
ejpam-4745	93	22	β	β	X
ejpam-4745	93	23	ψ(t	ψ(t	PROPN
ejpam-4745	93	24	,	,	PUNCT
ejpam-4745	93	25	u	u	NOUN
ejpam-4745	93	26	)	)	PUNCT
ejpam-4745	93	27	]	]	PUNCT
ejpam-4745	94	1	=	=	PUNCT
ejpam-4745	94	2	α	α	NUM
ejpam-4745	94	3	ltgu	ltgu	NOUN
ejpam-4745	94	4	[	[	PUNCT
ejpam-4745	94	5	φ	φ	PROPN
ejpam-4745	94	6	(	(	PUNCT
ejpam-4745	94	7	t	t	PROPN
ejpam-4745	94	8	,	,	PUNCT
ejpam-4745	94	9	u	u	NOUN
ejpam-4745	94	10	)	)	PUNCT
ejpam-4745	94	11	]	]	PUNCT
ejpam-4745	95	1	+	+	CCONJ
ejpam-4745	95	2	β	β	X
ejpam-4745	95	3	ltgu	ltgu	NOUN
ejpam-4745	95	4	[	[	PUNCT
ejpam-4745	95	5	ψ(t	ψ(t	PROPN
ejpam-4745	95	6	,	,	PUNCT
ejpam-4745	95	7	u	u	NOUN
ejpam-4745	95	8	)	)	PUNCT
ejpam-4745	95	9	]	]	PUNCT
ejpam-4745	95	10	,	,	PUNCT
ejpam-4745	95	11	(	(	PUNCT
ejpam-4745	95	12	6	6	NUM
ejpam-4745	95	13	)	)	PUNCT
ejpam-4745	95	14	where	where	SCONJ
ejpam-4745	95	15	α	α	NOUN
ejpam-4745	95	16	and	and	CCONJ
ejpam-4745	95	17	β	β	PROPN
ejpam-4745	95	18	are	be	AUX
ejpam-4745	95	19	constants	constant	NOUN
ejpam-4745	95	20	and	and	CCONJ
ejpam-4745	95	21	the	the	DET
ejpam-4745	95	22	functions	function	NOUN
ejpam-4745	95	23	ltgu	ltgu	VERB
ejpam-4745	96	1	[	[	X
ejpam-4745	96	2	φ	φ	X
ejpam-4745	96	3	(	(	PUNCT
ejpam-4745	96	4	t	t	PROPN
ejpam-4745	96	5	,	,	PUNCT
ejpam-4745	96	6	u	u	NOUN
ejpam-4745	96	7	)	)	PUNCT
ejpam-4745	96	8	]	]	PUNCT
ejpam-4745	96	9	,	,	PUNCT
ejpam-4745	96	10	ltgu	ltgu	PROPN
ejpam-4745	96	11	[	[	X
ejpam-4745	96	12	ψ(t	ψ(t	PROPN
ejpam-4745	96	13	,	,	PUNCT
ejpam-4745	96	14	u	u	NOUN
ejpam-4745	96	15	)	)	PUNCT
ejpam-4745	96	16	]	]	PUNCT
ejpam-4745	96	17	are	be	AUX
ejpam-4745	96	18	exists	exist	NOUN
ejpam-4745	96	19	.	.	PUNCT
ejpam-4745	97	1	the	the	DET
ejpam-4745	97	2	inverse	inverse	NOUN
ejpam-4745	97	3	of	of	ADP
ejpam-4745	97	4	the	the	DET
ejpam-4745	97	5	dl	dl	PROPN
ejpam-4745	97	6	-	-	PUNCT
ejpam-4745	97	7	arat	arat	PROPN
ejpam-4745	97	8	is	be	AUX
ejpam-4745	97	9	provided	provide	VERB
ejpam-4745	97	10	by	by	ADP
ejpam-4745	97	11	l−1	l−1	PROPN
ejpam-4745	97	12	t	t	NOUN
ejpam-4745	97	13	g−1	g−1	PROPN
ejpam-4745	97	14	u	u	PROPN
ejpam-4745	98	1	[	[	X
ejpam-4745	98	2	φ	φ	X
ejpam-4745	98	3	(	(	PUNCT
ejpam-4745	98	4	s	s	PROPN
ejpam-4745	98	5	,	,	PUNCT
ejpam-4745	98	6	v	v	NOUN
ejpam-4745	98	7	)	)	PUNCT
ejpam-4745	98	8	]	]	PUNCT
ejpam-4745	99	1	=	=	SYM
ejpam-4745	99	2	1	1	NUM
ejpam-4745	99	3	2πi	2πi	ADJ
ejpam-4745	99	4	∫	∫	PROPN
ejpam-4745	99	5	c+i∞	c+i∞	ADJ
ejpam-4745	99	6	c−i∞	c−i∞	PROPN
ejpam-4745	99	7	etsds	etsds	VERB
ejpam-4745	99	8	1	1	NUM
ejpam-4745	99	9	2πi	2πi	ADJ
ejpam-4745	99	10	∫	∫	X
ejpam-4745	99	11	r+i∞	r+i∞	PROPN
ejpam-4745	99	12	r−i∞	r−i∞	PROPN
ejpam-4745	99	13	euv	euv	X
ejpam-4745	99	14	v	v	X
ejpam-4745	99	15	φ	φ	PROPN
ejpam-4745	99	16	(	(	PUNCT
ejpam-4745	99	17	s	s	PROPN
ejpam-4745	99	18	,	,	PUNCT
ejpam-4745	99	19	v	v	NOUN
ejpam-4745	99	20	)	)	PUNCT
ejpam-4745	99	21	dv	dv	PROPN
ejpam-4745	99	22	=	=	SYM
ejpam-4745	99	23	φ	φ	PROPN
ejpam-4745	99	24	(	(	PUNCT
ejpam-4745	99	25	t	t	PROPN
ejpam-4745	99	26	,	,	PUNCT
ejpam-4745	99	27	u	u	NOUN
ejpam-4745	99	28	)	)	PUNCT
ejpam-4745	99	29	.	.	PUNCT
ejpam-4745	100	1	(	(	PUNCT
ejpam-4745	100	2	7	7	X
ejpam-4745	100	3	)	)	PUNCT
ejpam-4745	100	4	a.	a.	NOUN
ejpam-4745	100	5	qazza	qazza	PROPN
ejpam-4745	100	6	/	/	SYM
ejpam-4745	100	7	eur	eur	PROPN
ejpam-4745	100	8	.	.	PUNCT
ejpam-4745	101	1	j.	j.	PROPN
ejpam-4745	101	2	pure	pure	PROPN
ejpam-4745	101	3	appl	appl	PROPN
ejpam-4745	101	4	.	.	PROPN
ejpam-4745	101	5	math	math	PROPN
ejpam-4745	101	6	,	,	PUNCT
ejpam-4745	101	7	16	16	NUM
ejpam-4745	101	8	(	(	PUNCT
ejpam-4745	101	9	2	2	NUM
ejpam-4745	101	10	)	)	PUNCT
ejpam-4745	101	11	(	(	PUNCT
ejpam-4745	101	12	2023	2023	NUM
ejpam-4745	101	13	)	)	PUNCT
ejpam-4745	101	14	,	,	PUNCT
ejpam-4745	101	15	919	919	NUM
ejpam-4745	101	16	-	-	SYM
ejpam-4745	101	17	933	933	NUM
ejpam-4745	101	18	923	923	NUM
ejpam-4745	101	19	properties	property	NOUN
ejpam-4745	101	20	(	(	PUNCT
ejpam-4745	101	21	i	i	NOUN
ejpam-4745	101	22	)	)	PUNCT
ejpam-4745	101	23	suppose	suppose	VERB
ejpam-4745	101	24	that	that	SCONJ
ejpam-4745	101	25	φ	φ	PROPN
ejpam-4745	101	26	(	(	PUNCT
ejpam-4745	101	27	t	t	PROPN
ejpam-4745	101	28	,	,	PUNCT
ejpam-4745	101	29	u	u	NOUN
ejpam-4745	101	30	)	)	PUNCT
ejpam-4745	101	31	=	=	SYM
ejpam-4745	101	32	φ1	φ1	NOUN
ejpam-4745	101	33	(	(	PUNCT
ejpam-4745	101	34	t)φ2	t)φ2	PROPN
ejpam-4745	101	35	(	(	PUNCT
ejpam-4745	101	36	u	u	NOUN
ejpam-4745	101	37	)	)	PUNCT
ejpam-4745	101	38	,	,	PUNCT
ejpam-4745	101	39	t	t	PROPN
ejpam-4745	101	40	,	,	PUNCT
ejpam-4745	101	41	u	u	X
ejpam-4745	101	42	>	>	X
ejpam-4745	101	43	0	0	X
ejpam-4745	101	44	.	.	PUNCT
ejpam-4745	101	45	then	then	ADV
ejpam-4745	101	46	ltgu	ltgu	VERB
ejpam-4745	101	47	[	[	X
ejpam-4745	101	48	φ(t	φ(t	PROPN
ejpam-4745	101	49	,	,	PUNCT
ejpam-4745	101	50	u	u	NOUN
ejpam-4745	101	51	)	)	PUNCT
ejpam-4745	101	52	]	]	PUNCT
ejpam-4745	102	1	=	=	PUNCT
ejpam-4745	102	2	lt	lt	PRON
ejpam-4745	103	1	[	[	X
ejpam-4745	103	2	φ1	φ1	X
ejpam-4745	103	3	(	(	PUNCT
ejpam-4745	103	4	t)]gu	t)]gu	X
ejpam-4745	103	5	[	[	X
ejpam-4745	103	6	φ2(u	φ2(u	NUM
ejpam-4745	103	7	)	)	PUNCT
ejpam-4745	103	8	]	]	PUNCT
ejpam-4745	103	9	.	.	PUNCT
ejpam-4745	104	1	proof	proof	NOUN
ejpam-4745	104	2	.	.	PUNCT
ejpam-4745	105	1	ltgu	ltgu	PROPN
ejpam-4745	106	1	[	[	X
ejpam-4745	106	2	φ(t	φ(t	PROPN
ejpam-4745	106	3	,	,	PUNCT
ejpam-4745	106	4	u	u	NOUN
ejpam-4745	106	5	)	)	PUNCT
ejpam-4745	106	6	]	]	PUNCT
ejpam-4745	107	1	=	=	PUNCT
ejpam-4745	107	2	ltgu	ltgu	NOUN
ejpam-4745	108	1	[	[	X
ejpam-4745	108	2	φ1	φ1	NOUN
ejpam-4745	108	3	(	(	PUNCT
ejpam-4745	108	4	t)φ2(u	t)φ2(u	NUM
ejpam-4745	108	5	)	)	PUNCT
ejpam-4745	108	6	]	]	PUNCT
ejpam-4745	109	1	=	=	PUNCT
ejpam-4745	109	2	v	v	NUM
ejpam-4745	109	3	∫	∫	PROPN
ejpam-4745	109	4	∞	∞	PROPN
ejpam-4745	109	5	0	0	NUM
ejpam-4745	109	6	∫	∫	PROPN
ejpam-4745	110	1	∞	∞	PROPN
ejpam-4745	110	2	0	0	NUM
ejpam-4745	110	3	e−ts−uvφ1	e−ts−uvφ1	PRON
ejpam-4745	110	4	(	(	PUNCT
ejpam-4745	110	5	t)φ2(u)dt	t)φ2(u)dt	NOUN
ejpam-4745	110	6	du	du	PROPN
ejpam-4745	110	7	=	=	SYM
ejpam-4745	110	8	∫	∫	PROPN
ejpam-4745	110	9	∞	∞	PROPN
ejpam-4745	110	10	0	0	X
ejpam-4745	111	1	φ1	φ1	PROPN
ejpam-4745	111	2	(	(	PUNCT
ejpam-4745	111	3	t	t	NOUN
ejpam-4745	111	4	)	)	PUNCT
ejpam-4745	111	5	e	e	PROPN
ejpam-4745	111	6	−tsdt	−tsdt	NOUN
ejpam-4745	111	7	·	·	PUNCT
ejpam-4745	112	1	v	v	X
ejpam-4745	112	2	∫	∫	PROPN
ejpam-4745	112	3	∞	∞	PROPN
ejpam-4745	112	4	0	0	NUM
ejpam-4745	113	1	φ2	φ2	PROPN
ejpam-4745	113	2	(	(	PUNCT
ejpam-4745	113	3	u	u	NOUN
ejpam-4745	113	4	)	)	PUNCT
ejpam-4745	113	5	e	e	NOUN
ejpam-4745	113	6	−uvdu	−uvdu	NOUN
ejpam-4745	113	7	=	=	SYM
ejpam-4745	113	8	lt	lt	NOUN
ejpam-4745	114	1	[	[	X
ejpam-4745	114	2	φ1	φ1	X
ejpam-4745	114	3	(	(	PUNCT
ejpam-4745	114	4	t)]gu	t)]gu	X
ejpam-4745	114	5	[	[	X
ejpam-4745	114	6	φ2(u	φ2(u	NUM
ejpam-4745	114	7	)	)	PUNCT
ejpam-4745	114	8	]	]	PUNCT
ejpam-4745	114	9	.	.	PUNCT
ejpam-4745	115	1	(	(	PUNCT
ejpam-4745	115	2	ii	ii	X
ejpam-4745	115	3	)	)	PUNCT
ejpam-4745	115	4	dl	dl	PROPN
ejpam-4745	115	5	-	-	PUNCT
ejpam-4745	115	6	arat	arat	PROPN
ejpam-4745	115	7	of	of	ADP
ejpam-4745	115	8	basic	basic	ADJ
ejpam-4745	115	9	functions	function	NOUN
ejpam-4745	115	10	•	•	ADV
ejpam-4745	115	11	suppose	suppose	VERB
ejpam-4745	115	12	that	that	SCONJ
ejpam-4745	115	13	φ(t	φ(t	PROPN
ejpam-4745	115	14	,	,	PUNCT
ejpam-4745	115	15	u	u	NOUN
ejpam-4745	115	16	)	)	PUNCT
ejpam-4745	115	17	=	=	SYM
ejpam-4745	115	18	1	1	NUM
ejpam-4745	115	19	,	,	PUNCT
ejpam-4745	115	20	t	t	PROPN
ejpam-4745	115	21	,	,	PUNCT
ejpam-4745	115	22	u	u	X
ejpam-4745	115	23	>	>	X
ejpam-4745	115	24	0	0	X
ejpam-4745	115	25	.	.	PUNCT
ejpam-4745	116	1	then	then	ADV
ejpam-4745	116	2	ltgu	ltgu	VERB
ejpam-4745	116	3	[	[	X
ejpam-4745	116	4	1	1	NUM
ejpam-4745	116	5	]	]	X
ejpam-4745	116	6	=	=	PUNCT
ejpam-4745	117	1	v	v	NUM
ejpam-4745	117	2	∫	∫	PROPN
ejpam-4745	117	3	∞	∞	PROPN
ejpam-4745	117	4	0	0	NUM
ejpam-4745	117	5	∫	∫	PROPN
ejpam-4745	117	6	∞	∞	NOUN
ejpam-4745	117	7	0	0	NUM
ejpam-4745	117	8	e−ts−uvdt	e−ts−uvdt	X
ejpam-4745	117	9	du	du	X
ejpam-4745	117	10	=	=	SYM
ejpam-4745	117	11	∫	∫	PROPN
ejpam-4745	117	12	∞	∞	PROPN
ejpam-4745	117	13	0	0	NUM
ejpam-4745	118	1	e−tsdt	e−tsdt	NOUN
ejpam-4745	118	2	v	v	NUM
ejpam-4745	118	3	∫	∫	PROPN
ejpam-4745	118	4	∞	∞	NUM
ejpam-4745	118	5	0	0	NUM
ejpam-4745	118	6	e−uvdu	e−uvdu	NOUN
ejpam-4745	118	7	=	=	SYM
ejpam-4745	118	8	1	1	NUM
ejpam-4745	118	9	s	s	NOUN
ejpam-4745	118	10	,	,	PUNCT
ejpam-4745	118	11	where	where	SCONJ
ejpam-4745	118	12	re(t	re(t	PUNCT
ejpam-4745	118	13	)	)	PUNCT
ejpam-4745	118	14	>	>	X
ejpam-4745	119	1	0	0	X
ejpam-4745	119	2	.	.	X
ejpam-4745	119	3	•	•	NUM
ejpam-4745	119	4	suppose	suppose	VERB
ejpam-4745	119	5	that	that	SCONJ
ejpam-4745	119	6	φ	φ	PROPN
ejpam-4745	119	7	(	(	PUNCT
ejpam-4745	119	8	t	t	PROPN
ejpam-4745	119	9	,	,	PUNCT
ejpam-4745	119	10	u	u	NOUN
ejpam-4745	119	11	)	)	PUNCT
ejpam-4745	119	12	=	=	SYM
ejpam-4745	119	13	tαuβ	tαuβ	PROPN
ejpam-4745	119	14	,	,	PUNCT
ejpam-4745	119	15	α	α	X
ejpam-4745	119	16	,	,	PUNCT
ejpam-4745	119	17	β	β	X
ejpam-4745	119	18	are	be	AUX
ejpam-4745	119	19	constants	constant	NOUN
ejpam-4745	119	20	,	,	PUNCT
ejpam-4745	119	21	and	and	CCONJ
ejpam-4745	119	22	t	t	PROPN
ejpam-4745	119	23	,	,	PUNCT
ejpam-4745	119	24	u	u	X
ejpam-4745	119	25	>	>	X
ejpam-4745	119	26	0	0	X
ejpam-4745	119	27	.	.	PUNCT
ejpam-4745	120	1	then	then	ADV
ejpam-4745	120	2	ltgu	ltgu	VERB
ejpam-4745	120	3	[	[	PUNCT
ejpam-4745	120	4	tα	tα	X
ejpam-4745	120	5	uβ	uβ	X
ejpam-4745	120	6	]	]	X
ejpam-4745	120	7	=	=	PUNCT
ejpam-4745	121	1	v	v	NUM
ejpam-4745	121	2	∫	∫	PROPN
ejpam-4745	121	3	∞	∞	PROPN
ejpam-4745	121	4	0	0	NUM
ejpam-4745	121	5	∫	∫	PROPN
ejpam-4745	122	1	∞	∞	NUM
ejpam-4745	122	2	0	0	NUM
ejpam-4745	122	3	e−ts−uvtαuβdt	e−ts−uvtαuβdt	NOUN
ejpam-4745	122	4	du	du	PROPN
ejpam-4745	122	5	=	=	SYM
ejpam-4745	122	6	∫	∫	PROPN
ejpam-4745	122	7	∞	∞	PROPN
ejpam-4745	122	8	0	0	SYM
ejpam-4745	122	9	e−tstαdt	e−tstαdt	X
ejpam-4745	122	10	v	v	X
ejpam-4745	122	11	∫	∫	PROPN
ejpam-4745	122	12	∞	∞	NUM
ejpam-4745	122	13	0	0	NUM
ejpam-4745	123	1	e−uvuβdu	e−uvuβdu	PUNCT
ejpam-4745	123	2	=	=	SYM
ejpam-4745	123	3	γ	γ	X
ejpam-4745	123	4	(	(	PUNCT
ejpam-4745	123	5	α+	α+	PROPN
ejpam-4745	123	6	1	1	NUM
ejpam-4745	123	7	)	)	PUNCT
ejpam-4745	123	8	γ	γ	X
ejpam-4745	123	9	(	(	PUNCT
ejpam-4745	123	10	β	β	X
ejpam-4745	123	11	+	+	NOUN
ejpam-4745	123	12	1	1	X
ejpam-4745	123	13	)	)	PUNCT
ejpam-4745	123	14	sα+1vβ	sα+1vβ	ADJ
ejpam-4745	123	15	,	,	PUNCT
ejpam-4745	123	16	re	re	X
ejpam-4745	123	17	(	(	PUNCT
ejpam-4745	123	18	α	α	NOUN
ejpam-4745	123	19	)	)	PUNCT
ejpam-4745	123	20	>	>	X
ejpam-4745	123	21	−1	−1	NOUN
ejpam-4745	123	22	,	,	PUNCT
ejpam-4745	123	23	re	re	X
ejpam-4745	123	24	(	(	PUNCT
ejpam-4745	123	25	β	β	X
ejpam-4745	123	26	)	)	PUNCT
ejpam-4745	123	27	>	>	X
ejpam-4745	124	1	−1	−1	NOUN
ejpam-4745	124	2	.	.	PUNCT
ejpam-4745	125	1	•	•	NUM
ejpam-4745	125	2	suppose	suppose	VERB
ejpam-4745	125	3	that	that	SCONJ
ejpam-4745	125	4	φ(t	φ(t	PROPN
ejpam-4745	125	5	,	,	PUNCT
ejpam-4745	125	6	u	u	NOUN
ejpam-4745	125	7	)	)	PUNCT
ejpam-4745	125	8	=	=	SYM
ejpam-4745	125	9	eαt+βu	eαt+βu	PROPN
ejpam-4745	125	10	,	,	PUNCT
ejpam-4745	125	11	α	α	X
ejpam-4745	125	12	,	,	PUNCT
ejpam-4745	125	13	β	β	X
ejpam-4745	125	14	are	be	AUX
ejpam-4745	125	15	constants	constant	NOUN
ejpam-4745	125	16	,	,	PUNCT
ejpam-4745	125	17	and	and	CCONJ
ejpam-4745	125	18	t	t	PROPN
ejpam-4745	125	19	,	,	PUNCT
ejpam-4745	125	20	u	u	X
ejpam-4745	125	21	>	>	X
ejpam-4745	125	22	0	0	X
ejpam-4745	125	23	.	.	PUNCT
ejpam-4745	126	1	then	then	ADV
ejpam-4745	126	2	ltgu	ltgu	VERB
ejpam-4745	126	3	[	[	PUNCT
ejpam-4745	126	4	eαt+βu	eαt+βu	X
ejpam-4745	126	5	]	]	PUNCT
ejpam-4745	126	6	=	=	PUNCT
ejpam-4745	127	1	v	v	NUM
ejpam-4745	127	2	∫	∫	PROPN
ejpam-4745	127	3	∞	∞	PROPN
ejpam-4745	127	4	0	0	NUM
ejpam-4745	127	5	∫	∫	PROPN
ejpam-4745	128	1	∞	∞	PROPN
ejpam-4745	128	2	0	0	PROPN
ejpam-4745	129	1	e−ts−uveαt+βudt	e−ts−uveαt+βudt	PROPN
ejpam-4745	129	2	du	du	X
ejpam-4745	129	3	=	=	SYM
ejpam-4745	129	4	∫	∫	PROPN
ejpam-4745	129	5	∞	∞	PROPN
ejpam-4745	129	6	0	0	NUM
ejpam-4745	130	1	e−tseαtdt	e−tseαtdt	NOUN
ejpam-4745	130	2	v	v	X
ejpam-4745	130	3	∫	∫	PROPN
ejpam-4745	130	4	∞	∞	PROPN
ejpam-4745	130	5	0	0	NUM
ejpam-4745	130	6	e−uveuvdu	e−uveuvdu	PROPN
ejpam-4745	130	7	=	=	SYM
ejpam-4745	130	8	v	v	PROPN
ejpam-4745	130	9	(	(	PUNCT
ejpam-4745	130	10	s−	s−	PROPN
ejpam-4745	130	11	a	a	PRON
ejpam-4745	130	12	)	)	PUNCT
ejpam-4745	130	13	(	(	PUNCT
ejpam-4745	130	14	v	v	ADP
ejpam-4745	130	15	−	−	PROPN
ejpam-4745	130	16	b	b	NOUN
ejpam-4745	130	17	)	)	PUNCT
ejpam-4745	130	18	.	.	PUNCT
ejpam-4745	131	1	likewise	likewise	ADV
ejpam-4745	131	2	,	,	PUNCT
ejpam-4745	131	3	ltgu	ltgu	PROPN
ejpam-4745	131	4	[	[	PUNCT
ejpam-4745	131	5	ei(αt+βu	ei(αt+βu	PROPN
ejpam-4745	131	6	)	)	PUNCT
ejpam-4745	131	7	]	]	PUNCT
ejpam-4745	132	1	=	=	SYM
ejpam-4745	132	2	v	v	X
ejpam-4745	132	3	(	(	PUNCT
ejpam-4745	132	4	s−	s−	PROPN
ejpam-4745	132	5	iα	iα	PROPN
ejpam-4745	132	6	)	)	PUNCT
ejpam-4745	132	7	(	(	PUNCT
ejpam-4745	132	8	v	v	NOUN
ejpam-4745	132	9	−	−	NOUN
ejpam-4745	132	10	iβ	iβ	NOUN
ejpam-4745	132	11	)	)	PUNCT
ejpam-4745	132	12	=	=	SYM
ejpam-4745	132	13	v	v	X
ejpam-4745	132	14	(	(	PUNCT
ejpam-4745	132	15	sv	sv	INTJ
ejpam-4745	132	16	−	−	PROPN
ejpam-4745	133	1	αβ	αβ	INTJ
ejpam-4745	133	2	)	)	PUNCT
ejpam-4745	134	1	+	+	CCONJ
ejpam-4745	134	2	iv(sβ	iv(sβ	PROPN
ejpam-4745	134	3	+	+	CCONJ
ejpam-4745	134	4	vα	vα	PROPN
ejpam-4745	134	5	)	)	PUNCT
ejpam-4745	134	6	(	(	PUNCT
ejpam-4745	134	7	s2	s2	NOUN
ejpam-4745	134	8	+	+	CCONJ
ejpam-4745	134	9	α2	α2	ADJ
ejpam-4745	134	10	)	)	PUNCT
ejpam-4745	134	11	(	(	PUNCT
ejpam-4745	134	12	v2	v2	PROPN
ejpam-4745	134	13	+	+	SYM
ejpam-4745	134	14	β2	β2	NOUN
ejpam-4745	134	15	)	)	PUNCT
ejpam-4745	134	16	.	.	PUNCT
ejpam-4745	135	1	consequently	consequently	ADV
ejpam-4745	135	2	,	,	PUNCT
ejpam-4745	135	3	ltgu	ltgu	PROPN
ejpam-4745	135	4	[	[	X
ejpam-4745	135	5	sin	sin	NOUN
ejpam-4745	135	6	(	(	PUNCT
ejpam-4745	135	7	αt+	αt+	NOUN
ejpam-4745	135	8	βu	βu	NOUN
ejpam-4745	135	9	)	)	PUNCT
ejpam-4745	135	10	]	]	PUNCT
ejpam-4745	136	1	=	=	PUNCT
ejpam-4745	136	2	v(βs+	v(βs+	NOUN
ejpam-4745	136	3	αv	αv	NOUN
ejpam-4745	136	4	)	)	PUNCT
ejpam-4745	136	5	(	(	PUNCT
ejpam-4745	136	6	s2	s2	NOUN
ejpam-4745	136	7	+	+	CCONJ
ejpam-4745	136	8	α2	α2	ADJ
ejpam-4745	136	9	)	)	PUNCT
ejpam-4745	136	10	(	(	PUNCT
ejpam-4745	136	11	sv2	sv2	PROPN
ejpam-4745	136	12	+	+	CCONJ
ejpam-4745	136	13	β2	β2	VERB
ejpam-4745	136	14	)	)	PUNCT
ejpam-4745	136	15	,	,	PUNCT
ejpam-4745	136	16	ltgu	ltgu	VERB
ejpam-4745	136	17	[	[	X
ejpam-4745	136	18	cos	cos	X
ejpam-4745	136	19	(	(	PUNCT
ejpam-4745	136	20	αt+	αt+	NOUN
ejpam-4745	136	21	βu	βu	NOUN
ejpam-4745	136	22	)	)	PUNCT
ejpam-4745	136	23	]	]	PUNCT
ejpam-4745	137	1	=	=	SYM
ejpam-4745	137	2	v	v	X
ejpam-4745	137	3	(	(	PUNCT
ejpam-4745	137	4	sv	sv	INTJ
ejpam-4745	137	5	−	−	PROPN
ejpam-4745	137	6	αβ	αβ	INTJ
ejpam-4745	137	7	)	)	PUNCT
ejpam-4745	137	8	(	(	PUNCT
ejpam-4745	137	9	s2	s2	NOUN
ejpam-4745	137	10	+	+	CCONJ
ejpam-4745	137	11	α2	α2	ADJ
ejpam-4745	137	12	)	)	PUNCT
ejpam-4745	137	13	(	(	PUNCT
ejpam-4745	137	14	v2	v2	PROPN
ejpam-4745	137	15	+	+	SYM
ejpam-4745	137	16	β2	β2	NOUN
ejpam-4745	137	17	)	)	PUNCT
ejpam-4745	137	18	.	.	PUNCT
ejpam-4745	138	1	a.	a.	NOUN
ejpam-4745	138	2	qazza	qazza	PROPN
ejpam-4745	138	3	/	/	SYM
ejpam-4745	138	4	eur	eur	PROPN
ejpam-4745	138	5	.	.	PUNCT
ejpam-4745	139	1	j.	j.	PROPN
ejpam-4745	139	2	pure	pure	PROPN
ejpam-4745	139	3	appl	appl	PROPN
ejpam-4745	139	4	.	.	PROPN
ejpam-4745	139	5	math	math	PROPN
ejpam-4745	139	6	,	,	PUNCT
ejpam-4745	139	7	16	16	NUM
ejpam-4745	139	8	(	(	PUNCT
ejpam-4745	139	9	2	2	NUM
ejpam-4745	139	10	)	)	PUNCT
ejpam-4745	139	11	(	(	PUNCT
ejpam-4745	139	12	2023	2023	NUM
ejpam-4745	139	13	)	)	PUNCT
ejpam-4745	139	14	,	,	PUNCT
ejpam-4745	139	15	919	919	NUM
ejpam-4745	139	16	-	-	SYM
ejpam-4745	139	17	933	933	NUM
ejpam-4745	139	18	924	924	NUM
ejpam-4745	139	19	•	•	NOUN
ejpam-4745	139	20	suppose	suppose	VERB
ejpam-4745	139	21	that	that	SCONJ
ejpam-4745	139	22	φ(t	φ(t	PROPN
ejpam-4745	139	23	,	,	PUNCT
ejpam-4745	139	24	u	u	NOUN
ejpam-4745	139	25	)	)	PUNCT
ejpam-4745	139	26	=	=	PUNCT
ejpam-4745	139	27	sinh	sinh	NOUN
ejpam-4745	139	28	(	(	PUNCT
ejpam-4745	139	29	αt+	αt+	NOUN
ejpam-4745	139	30	βu	βu	NOUN
ejpam-4745	139	31	)	)	PUNCT
ejpam-4745	139	32	or	or	CCONJ
ejpam-4745	139	33	φ(t	φ(t	PROPN
ejpam-4745	139	34	,	,	PUNCT
ejpam-4745	139	35	u	u	NOUN
ejpam-4745	139	36	)	)	PUNCT
ejpam-4745	139	37	=	=	SYM
ejpam-4745	139	38	cosh	cosh	NOUN
ejpam-4745	139	39	(	(	PUNCT
ejpam-4745	139	40	αt+	αt+	NOUN
ejpam-4745	139	41	βu	βu	NOUN
ejpam-4745	139	42	)	)	PUNCT
ejpam-4745	139	43	.	.	PUNCT
ejpam-4745	140	1	recall	recall	VERB
ejpam-4745	140	2	that	that	DET
ejpam-4745	140	3	ltgu	ltgu	NOUN
ejpam-4745	141	1	[	[	X
ejpam-4745	141	2	sinh	sinh	NOUN
ejpam-4745	141	3	(	(	PUNCT
ejpam-4745	141	4	αt+	αt+	NOUN
ejpam-4745	141	5	βu	βu	NOUN
ejpam-4745	141	6	)	)	PUNCT
ejpam-4745	141	7	]	]	PUNCT
ejpam-4745	142	1	=	=	SYM
ejpam-4745	142	2	v(sβ	v(sβ	PROPN
ejpam-4745	142	3	+	+	CCONJ
ejpam-4745	142	4	vα	vα	X
ejpam-4745	142	5	)	)	PUNCT
ejpam-4745	142	6	(	(	PUNCT
ejpam-4745	142	7	s2	s2	VERB
ejpam-4745	142	8	−	−	PROPN
ejpam-4745	142	9	α2	α2	PROPN
ejpam-4745	142	10	)	)	PUNCT
ejpam-4745	142	11	(	(	PUNCT
ejpam-4745	142	12	v2	v2	VERB
ejpam-4745	142	13	−	−	PROPN
ejpam-4745	142	14	β2	β2	PROPN
ejpam-4745	142	15	)	)	PUNCT
ejpam-4745	142	16	,	,	PUNCT
ejpam-4745	142	17	ltgu	ltgu	VERB
ejpam-4745	142	18	[	[	X
ejpam-4745	142	19	cosh	cosh	PROPN
ejpam-4745	142	20	(	(	PUNCT
ejpam-4745	142	21	αt+	αt+	NOUN
ejpam-4745	142	22	βu	βu	NOUN
ejpam-4745	142	23	)	)	PUNCT
ejpam-4745	142	24	]	]	PUNCT
ejpam-4745	143	1	=	=	SYM
ejpam-4745	143	2	v	v	X
ejpam-4745	143	3	(	(	PUNCT
ejpam-4745	143	4	sv	sv	PROPN
ejpam-4745	143	5	+	+	NUM
ejpam-4745	143	6	αβ	αβ	NOUN
ejpam-4745	143	7	)	)	PUNCT
ejpam-4745	143	8	(	(	PUNCT
ejpam-4745	143	9	s2	s2	VERB
ejpam-4745	143	10	−	−	PROPN
ejpam-4745	143	11	α2	α2	PROPN
ejpam-4745	143	12	)	)	PUNCT
ejpam-4745	143	13	(	(	PUNCT
ejpam-4745	143	14	v2	v2	VERB
ejpam-4745	143	15	−	−	PROPN
ejpam-4745	143	16	β2	β2	PROPN
ejpam-4745	143	17	)	)	PUNCT
ejpam-4745	143	18	.	.	PUNCT
ejpam-4745	144	1	•	•	NUM
ejpam-4745	144	2	suppose	suppose	VERB
ejpam-4745	144	3	that	that	SCONJ
ejpam-4745	144	4	φ(t	φ(t	PROPN
ejpam-4745	144	5	,	,	PUNCT
ejpam-4745	144	6	u	u	NOUN
ejpam-4745	144	7	)	)	PUNCT
ejpam-4745	144	8	=	=	SYM
ejpam-4745	144	9	j0	j0	PROPN
ejpam-4745	144	10	(	(	PUNCT
ejpam-4745	144	11	c	c	NOUN
ejpam-4745	144	12	√	√	PROPN
ejpam-4745	144	13	tu	tu	PROPN
ejpam-4745	144	14	)	)	PUNCT
ejpam-4745	144	15	ltgu	ltgu	PROPN
ejpam-4745	144	16	[	[	PUNCT
ejpam-4745	144	17	j0	j0	PROPN
ejpam-4745	144	18	(	(	PUNCT
ejpam-4745	144	19	c	c	NOUN
ejpam-4745	144	20	√	√	PROPN
ejpam-4745	144	21	tu	tu	PROPN
ejpam-4745	144	22	)	)	PUNCT
ejpam-4745	144	23	]	]	PUNCT
ejpam-4745	145	1	=	=	PUNCT
ejpam-4745	145	2	v	v	NUM
ejpam-4745	145	3	∫	∫	PROPN
ejpam-4745	145	4	∞	∞	PROPN
ejpam-4745	145	5	0	0	NUM
ejpam-4745	146	1	∫	∫	PROPN
ejpam-4745	146	2	∞	∞	NUM
ejpam-4745	146	3	0	0	NUM
ejpam-4745	147	1	e−ts−uvj0	e−ts−uvj0	PROPN
ejpam-4745	147	2	(	(	PUNCT
ejpam-4745	147	3	c	c	NOUN
ejpam-4745	147	4	√	√	PROPN
ejpam-4745	147	5	tu	tu	PROPN
ejpam-4745	147	6	)	)	PUNCT
ejpam-4745	147	7	dt	dt	X
ejpam-4745	148	1	du	du	PROPN
ejpam-4745	148	2	=	=	SYM
ejpam-4745	148	3	∫	∫	PROPN
ejpam-4745	148	4	∞	∞	NUM
ejpam-4745	148	5	0	0	NUM
ejpam-4745	148	6	e−tsj0	e−tsj0	NOUN
ejpam-4745	148	7	(	(	PUNCT
ejpam-4745	148	8	c	c	NOUN
ejpam-4745	148	9	√	√	PROPN
ejpam-4745	148	10	tu	tu	PROPN
ejpam-4745	148	11	)	)	PUNCT
ejpam-4745	149	1	dt	dt	PROPN
ejpam-4745	149	2	s	s	PART
ejpam-4745	149	3	∫	∫	PROPN
ejpam-4745	149	4	∞	∞	NUM
ejpam-4745	149	5	0	0	NUM
ejpam-4745	149	6	e−uvdu	e−uvdu	PROPN
ejpam-4745	149	7	=	=	SYM
ejpam-4745	149	8	v	v	NUM
ejpam-4745	149	9	∫	∫	PROPN
ejpam-4745	149	10	∞	∞	NOUN
ejpam-4745	149	11	0	0	NUM
ejpam-4745	150	1	e−	e−	PROPN
ejpam-4745	150	2	c2	c2	PROPN
ejpam-4745	150	3	4v	4v	NUM
ejpam-4745	150	4	ue	ue	INTJ
ejpam-4745	150	5	−uv	−uv	NOUN
ejpam-4745	150	6	du	du	NOUN
ejpam-4745	150	7	=	=	NOUN
ejpam-4745	150	8	4v	4v	NUM
ejpam-4745	150	9	4sv	4sv	ADJ
ejpam-4745	150	10	+	+	CCONJ
ejpam-4745	150	11	c2	c2	PROPN
ejpam-4745	150	12	.	.	PUNCT
ejpam-4745	151	1	•	•	NUM
ejpam-4745	151	2	suppose	suppose	VERB
ejpam-4745	151	3	the	the	DET
ejpam-4745	151	4	function	function	NOUN
ejpam-4745	151	5	φ(t	φ(t	PROPN
ejpam-4745	151	6	,	,	PUNCT
ejpam-4745	151	7	u	u	NOUN
ejpam-4745	151	8	)	)	PUNCT
ejpam-4745	151	9	of	of	ADP
ejpam-4745	151	10	exponential	exponential	ADJ
ejpam-4745	151	11	order	order	NOUN
ejpam-4745	151	12	α	α	NOUN
ejpam-4745	151	13	and	and	CCONJ
ejpam-4745	151	14	β	β	PROPN
ejpam-4745	151	15	as	as	ADP
ejpam-4745	151	16	t	t	PROPN
ejpam-4745	151	17	and	and	CCONJ
ejpam-4745	151	18	u	u	PROPN
ejpam-4745	151	19	goto	goto	NOUN
ejpam-4745	151	20	∞.	∞.	PROPN
ejpam-4745	151	21	if	if	SCONJ
ejpam-4745	151	22	∃n	∃n	PROPN
ejpam-4745	151	23	>	>	X
ejpam-4745	151	24	0	0	NUM
ejpam-4745	151	25	such	such	ADJ
ejpam-4745	151	26	that	that	SCONJ
ejpam-4745	151	27	∀t	∀t	PROPN
ejpam-4745	151	28	>	>	X
ejpam-4745	151	29	t	t	PROPN
ejpam-4745	151	30	and	and	CCONJ
ejpam-4745	151	31	u	u	ADJ
ejpam-4745	151	32	>	>	X
ejpam-4745	151	33	u	u	PROPN
ejpam-4745	151	34	,	,	PUNCT
ejpam-4745	151	35	we	we	PRON
ejpam-4745	151	36	have	have	VERB
ejpam-4745	151	37	|φ(t	|φ(t	PROPN
ejpam-4745	151	38	,	,	PUNCT
ejpam-4745	151	39	u)|	u)|	NOUN
ejpam-4745	151	40	≤	≤	NOUN
ejpam-4745	151	41	neαt+βu	neαt+βu	NUM
ejpam-4745	151	42	.	.	PUNCT
ejpam-4745	152	1	we	we	PRON
ejpam-4745	152	2	can	can	AUX
ejpam-4745	152	3	write	write	VERB
ejpam-4745	152	4	φ(t	φ(t	PROPN
ejpam-4745	152	5	,	,	PUNCT
ejpam-4745	152	6	u	u	NOUN
ejpam-4745	152	7	)	)	PUNCT
ejpam-4745	152	8	=	=	SYM
ejpam-4745	152	9	o(eαt+βu	o(eαt+βu	NOUN
ejpam-4745	152	10	)	)	PUNCT
ejpam-4745	152	11	as	as	ADP
ejpam-4745	152	12	t	t	PROPN
ejpam-4745	152	13	and	and	CCONJ
ejpam-4745	152	14	u	u	NOUN
ejpam-4745	152	15	goes	go	VERB
ejpam-4745	152	16	to	to	ADP
ejpam-4745	152	17	∞	∞	PROPN
ejpam-4745	152	18	,	,	PUNCT
ejpam-4745	152	19	s	s	PART
ejpam-4745	152	20	>	>	X
ejpam-4745	152	21	α	α	PROPN
ejpam-4745	152	22	and	and	CCONJ
ejpam-4745	152	23	v	v	ADP
ejpam-4745	152	24	>	>	X
ejpam-4745	152	25	β	β	X
ejpam-4745	152	26	.	.	PUNCT
ejpam-4745	152	27	theorem	theorem	NOUN
ejpam-4745	152	28	3	3	X
ejpam-4745	152	29	.	.	PUNCT
ejpam-4745	152	30	suppose	suppose	VERB
ejpam-4745	152	31	that	that	SCONJ
ejpam-4745	152	32	φ(t	φ(t	PROPN
ejpam-4745	152	33	,	,	PUNCT
ejpam-4745	152	34	u	u	NOUN
ejpam-4745	152	35	)	)	PUNCT
ejpam-4745	152	36	of	of	ADP
ejpam-4745	152	37	exponential	exponential	ADJ
ejpam-4745	152	38	orders	order	NOUN
ejpam-4745	152	39	α	α	NOUN
ejpam-4745	152	40	and	and	CCONJ
ejpam-4745	152	41	β	β	X
ejpam-4745	152	42	is	be	AUX
ejpam-4745	152	43	a	a	DET
ejpam-4745	152	44	continuous	continuous	ADJ
ejpam-4745	152	45	function	function	NOUN
ejpam-4745	152	46	on	on	ADP
ejpam-4745	152	47	[	[	X
ejpam-4745	152	48	0	0	NUM
ejpam-4745	152	49	,	,	PUNCT
ejpam-4745	152	50	t	t	NOUN
ejpam-4745	152	51	)	)	PUNCT
ejpam-4745	152	52	×	×	NOUN
ejpam-4745	153	1	[	[	X
ejpam-4745	153	2	0	0	NUM
ejpam-4745	153	3	,	,	PUNCT
ejpam-4745	153	4	u	u	NOUN
ejpam-4745	153	5	)	)	PUNCT
ejpam-4745	153	6	.	.	PUNCT
ejpam-4745	154	1	then	then	ADV
ejpam-4745	154	2	ltgu	ltgu	VERB
ejpam-4745	154	3	[	[	X
ejpam-4745	154	4	φ(t	φ(t	PROPN
ejpam-4745	154	5	,	,	PUNCT
ejpam-4745	154	6	u	u	NOUN
ejpam-4745	154	7	)	)	PUNCT
ejpam-4745	154	8	]	]	PUNCT
ejpam-4745	154	9	exists	exist	VERB
ejpam-4745	154	10	for	for	ADP
ejpam-4745	154	11	s	s	PRON
ejpam-4745	154	12	and	and	CCONJ
ejpam-4745	154	13	v	v	NOUN
ejpam-4745	154	14	gave	give	VERB
ejpam-4745	154	15	re(s	re(s	ADV
ejpam-4745	154	16	)	)	PUNCT
ejpam-4745	154	17	>	>	X
ejpam-4745	155	1	α	α	PROPN
ejpam-4745	155	2	and	and	CCONJ
ejpam-4745	155	3	re(v	re(v	NOUN
ejpam-4745	155	4	)	)	PUNCT
ejpam-4745	155	5	>	>	PUNCT
ejpam-4745	156	1	β	β	X
ejpam-4745	156	2	.	.	PUNCT
ejpam-4745	157	1	proof	proof	NOUN
ejpam-4745	157	2	.	.	PUNCT
ejpam-4745	158	1	by	by	ADP
ejpam-4745	158	2	the	the	DET
ejpam-4745	158	3	definition	definition	NOUN
ejpam-4745	158	4	of	of	ADP
ejpam-4745	158	5	dl	dl	PROPN
ejpam-4745	158	6	-	-	PUNCT
ejpam-4745	158	7	arat	arat	NOUN
ejpam-4745	158	8	,	,	PUNCT
ejpam-4745	158	9	we	we	PRON
ejpam-4745	158	10	get	get	VERB
ejpam-4745	158	11	|φ(s	|φ(s	PROPN
ejpam-4745	158	12	,	,	PUNCT
ejpam-4745	158	13	v)|	v)|	NOUN
ejpam-4745	158	14	=	=	SYM
ejpam-4745	158	15	∣∣∣∣v	∣∣∣∣v	PROPN
ejpam-4745	158	16	∫	∫	PROPN
ejpam-4745	158	17	∞	∞	NUM
ejpam-4745	158	18	0	0	NUM
ejpam-4745	159	1	∫	∫	PROPN
ejpam-4745	159	2	∞	∞	PROPN
ejpam-4745	159	3	0	0	NUM
ejpam-4745	159	4	e−ts−uvφ(t	e−ts−uvφ(t	NOUN
ejpam-4745	159	5	,	,	PUNCT
ejpam-4745	159	6	u)dt	u)dt	PROPN
ejpam-4745	159	7	du	du	PROPN
ejpam-4745	159	8	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4745	159	9	≤	≤	PROPN
ejpam-4745	159	10	v	v	ADP
ejpam-4745	159	11	∫	∫	PROPN
ejpam-4745	159	12	∞	∞	PROPN
ejpam-4745	159	13	0	0	NUM
ejpam-4745	159	14	∫	∫	PROPN
ejpam-4745	159	15	∞	∞	PROPN
ejpam-4745	159	16	0	0	PROPN
ejpam-4745	159	17	e−ts−uv	e−ts−uv	NOUN
ejpam-4745	159	18	|φ	|φ	PROPN
ejpam-4745	159	19	(	(	PUNCT
ejpam-4745	159	20	t	t	PROPN
ejpam-4745	159	21	,	,	PUNCT
ejpam-4745	159	22	u)|dt	u)|dt	PROPN
ejpam-4745	159	23	du	du	PROPN
ejpam-4745	159	24	≤	≤	PROPN
ejpam-4745	160	1	k	k	X
ejpam-4745	160	2	∫	∫	PROPN
ejpam-4745	161	1	∞	∞	PROPN
ejpam-4745	161	2	0	0	NUM
ejpam-4745	162	1	e−(s−α)tdt	e−(s−α)tdt	NUM
ejpam-4745	162	2	v	v	NUM
ejpam-4745	162	3	∫	∫	PROPN
ejpam-4745	162	4	∞	∞	NUM
ejpam-4745	162	5	0	0	NUM
ejpam-4745	162	6	e−(v−β)udu	e−(v−β)udu	NOUN
ejpam-4745	162	7	=	=	SYM
ejpam-4745	162	8	kv	kv	PROPN
ejpam-4745	162	9	(	(	PUNCT
ejpam-4745	162	10	u−	u−	PROPN
ejpam-4745	162	11	α	α	NOUN
ejpam-4745	162	12	)	)	PUNCT
ejpam-4745	162	13	(	(	PUNCT
ejpam-4745	162	14	v	v	ADP
ejpam-4745	162	15	−	−	NOUN
ejpam-4745	162	16	β	β	NOUN
ejpam-4745	162	17	)	)	PUNCT
ejpam-4745	162	18	,	,	PUNCT
ejpam-4745	162	19	re	re	X
ejpam-4745	162	20	(	(	PUNCT
ejpam-4745	162	21	s	s	NOUN
ejpam-4745	162	22	)	)	PUNCT
ejpam-4745	162	23	>	>	X
ejpam-4745	163	1	α	α	PROPN
ejpam-4745	163	2	,	,	PUNCT
ejpam-4745	163	3	re	re	X
ejpam-4745	163	4	(	(	PUNCT
ejpam-4745	163	5	v	v	NOUN
ejpam-4745	163	6	)	)	PUNCT
ejpam-4745	163	7	>	>	X
ejpam-4745	164	1	β	β	X
ejpam-4745	164	2	.	.	PUNCT
ejpam-4745	165	1	thus	thus	ADV
ejpam-4745	165	2	,	,	PUNCT
ejpam-4745	165	3	ltgu	ltgu	VERB
ejpam-4745	165	4	[	[	X
ejpam-4745	165	5	φ(t	φ(t	PROPN
ejpam-4745	165	6	,	,	PUNCT
ejpam-4745	165	7	u	u	NOUN
ejpam-4745	165	8	)	)	PUNCT
ejpam-4745	165	9	]	]	PUNCT
ejpam-4745	165	10	exists	exist	VERB
ejpam-4745	165	11	.	.	PUNCT
ejpam-4745	166	1	theorem	theorem	ADJ
ejpam-4745	166	2	4	4	NUM
ejpam-4745	166	3	.	.	PUNCT
ejpam-4745	166	4	suppose	suppose	VERB
ejpam-4745	166	5	that	that	SCONJ
ejpam-4745	166	6	ltgu	ltgu	NOUN
ejpam-4745	166	7	[	[	X
ejpam-4745	166	8	φ(t	φ(t	PROPN
ejpam-4745	166	9	,	,	PUNCT
ejpam-4745	166	10	u	u	NOUN
ejpam-4745	166	11	)	)	PUNCT
ejpam-4745	166	12	]	]	PUNCT
ejpam-4745	166	13	and	and	CCONJ
ejpam-4745	166	14	ltgu	ltgu	VERB
ejpam-4745	167	1	[	[	X
ejpam-4745	167	2	ψ(t	ψ(t	PROPN
ejpam-4745	167	3	,	,	PUNCT
ejpam-4745	167	4	u	u	NOUN
ejpam-4745	167	5	)	)	PUNCT
ejpam-4745	167	6	]	]	PUNCT
ejpam-4745	167	7	are	be	AUX
ejpam-4745	167	8	exists	exist	NOUN
ejpam-4745	167	9	and	and	CCONJ
ejpam-4745	167	10	ltgu	ltgu	VERB
ejpam-4745	168	1	[	[	X
ejpam-4745	168	2	φ(t	φ(t	PROPN
ejpam-4745	168	3	,	,	PUNCT
ejpam-4745	168	4	u	u	NOUN
ejpam-4745	168	5	)	)	PUNCT
ejpam-4745	168	6	]	]	PUNCT
ejpam-4745	168	7	=	=	SYM
ejpam-4745	168	8	φ(s	φ(s	NOUN
ejpam-4745	168	9	,	,	PUNCT
ejpam-4745	168	10	v	v	NOUN
ejpam-4745	168	11	)	)	PUNCT
ejpam-4745	168	12	,	,	PUNCT
ejpam-4745	168	13	ltgu	ltgu	VERB
ejpam-4745	168	14	[	[	X
ejpam-4745	168	15	ψ(t	ψ(t	PROPN
ejpam-4745	168	16	,	,	PUNCT
ejpam-4745	168	17	u	u	NOUN
ejpam-4745	168	18	)	)	PUNCT
ejpam-4745	168	19	]	]	PUNCT
ejpam-4745	169	1	=	=	SYM
ejpam-4745	169	2	ψ(s	ψ(s	PROPN
ejpam-4745	169	3	,	,	PUNCT
ejpam-4745	169	4	v	v	NOUN
ejpam-4745	169	5	)	)	PUNCT
ejpam-4745	169	6	,	,	PUNCT
ejpam-4745	169	7	then	then	ADV
ejpam-4745	169	8	the	the	DET
ejpam-4745	169	9	double	double	ADJ
ejpam-4745	169	10	convolution	convolution	NOUN
ejpam-4745	169	11	ltgu	ltgu	NOUN
ejpam-4745	169	12	[	[	X
ejpam-4745	169	13	φ(t	φ(t	PROPN
ejpam-4745	169	14	,	,	PUNCT
ejpam-4745	169	15	u	u	NOUN
ejpam-4745	169	16	)	)	PUNCT
ejpam-4745	169	17	∗	∗	NOUN
ejpam-4745	169	18	∗ψ(t	∗ψ(t	PROPN
ejpam-4745	169	19	,	,	PUNCT
ejpam-4745	169	20	u	u	NOUN
ejpam-4745	169	21	)	)	PUNCT
ejpam-4745	169	22	]	]	PUNCT
ejpam-4745	169	23	=	=	SYM
ejpam-4745	170	1	1	1	NUM
ejpam-4745	170	2	v	v	ADP
ejpam-4745	170	3	φ(s	φ(s	NOUN
ejpam-4745	170	4	,	,	PUNCT
ejpam-4745	170	5	v	v	NOUN
ejpam-4745	170	6	)	)	PUNCT
ejpam-4745	170	7	ψ(s	ψ(s	PROPN
ejpam-4745	170	8	,	,	PUNCT
ejpam-4745	170	9	v	v	NOUN
ejpam-4745	170	10	)	)	PUNCT
ejpam-4745	170	11	,	,	PUNCT
ejpam-4745	170	12	(	(	PUNCT
ejpam-4745	170	13	8)	8)	NUM
ejpam-4745	170	14	where	where	SCONJ
ejpam-4745	170	15	φ(t	φ(t	PROPN
ejpam-4745	170	16	,	,	PUNCT
ejpam-4745	170	17	u	u	NOUN
ejpam-4745	170	18	)	)	PUNCT
ejpam-4745	170	19	∗	∗	NOUN
ejpam-4745	170	20	∗ψ(t	∗ψ(t	PROPN
ejpam-4745	170	21	,	,	PUNCT
ejpam-4745	170	22	u	u	NOUN
ejpam-4745	170	23	)	)	PUNCT
ejpam-4745	170	24	=	=	SYM
ejpam-4745	171	1	∫	∫	PROPN
ejpam-4745	171	2	t	t	PROPN
ejpam-4745	171	3	0	0	NUM
ejpam-4745	172	1	∫	∫	PROPN
ejpam-4745	172	2	u	u	NOUN
ejpam-4745	172	3	0	0	PUNCT
ejpam-4745	172	4	φ(t−	φ(t−	PROPN
ejpam-4745	172	5	τ	τ	PROPN
ejpam-4745	172	6	,	,	PUNCT
ejpam-4745	172	7	u−	u−	PROPN
ejpam-4745	172	8	ρ)ψ(τ	ρ)ψ(τ	ADJ
ejpam-4745	172	9	,	,	PUNCT
ejpam-4745	172	10	ρ)dτ	ρ)dτ	PROPN
ejpam-4745	172	11	dρ	dρ	NOUN
ejpam-4745	172	12	.	.	PUNCT
ejpam-4745	173	1	(	(	PUNCT
ejpam-4745	173	2	9	9	X
ejpam-4745	173	3	)	)	PUNCT
ejpam-4745	173	4	a.	a.	NOUN
ejpam-4745	173	5	qazza	qazza	PROPN
ejpam-4745	173	6	/	/	SYM
ejpam-4745	173	7	eur	eur	PROPN
ejpam-4745	173	8	.	.	PUNCT
ejpam-4745	174	1	j.	j.	PROPN
ejpam-4745	174	2	pure	pure	PROPN
ejpam-4745	174	3	appl	appl	PROPN
ejpam-4745	174	4	.	.	PROPN
ejpam-4745	174	5	math	math	PROPN
ejpam-4745	174	6	,	,	PUNCT
ejpam-4745	174	7	16	16	NUM
ejpam-4745	174	8	(	(	PUNCT
ejpam-4745	174	9	2	2	NUM
ejpam-4745	174	10	)	)	PUNCT
ejpam-4745	174	11	(	(	PUNCT
ejpam-4745	174	12	2023	2023	NUM
ejpam-4745	174	13	)	)	PUNCT
ejpam-4745	174	14	,	,	PUNCT
ejpam-4745	174	15	919	919	NUM
ejpam-4745	174	16	-	-	SYM
ejpam-4745	174	17	933	933	NUM
ejpam-4745	174	18	925	925	NUM
ejpam-4745	174	19	proof	proof	NOUN
ejpam-4745	174	20	.	.	PUNCT
ejpam-4745	175	1	by	by	ADP
ejpam-4745	175	2	the	the	DET
ejpam-4745	175	3	definition	definition	NOUN
ejpam-4745	175	4	of	of	ADP
ejpam-4745	175	5	dl	dl	PROPN
ejpam-4745	175	6	-	-	PUNCT
ejpam-4745	175	7	arat	arat	NOUN
ejpam-4745	175	8	,	,	PUNCT
ejpam-4745	175	9	we	we	PRON
ejpam-4745	175	10	get	get	VERB
ejpam-4745	175	11	ltgu	ltgu	NOUN
ejpam-4745	176	1	[	[	X
ejpam-4745	176	2	φ(t	φ(t	PROPN
ejpam-4745	176	3	,	,	PUNCT
ejpam-4745	176	4	u	u	NOUN
ejpam-4745	176	5	)	)	PUNCT
ejpam-4745	176	6	∗	∗	NOUN
ejpam-4745	176	7	∗ψ(t	∗ψ(t	PROPN
ejpam-4745	176	8	,	,	PUNCT
ejpam-4745	176	9	u	u	NOUN
ejpam-4745	176	10	)	)	PUNCT
ejpam-4745	176	11	]	]	PUNCT
ejpam-4745	177	1	=	=	PUNCT
ejpam-4745	177	2	v	v	NUM
ejpam-4745	177	3	∫	∫	PROPN
ejpam-4745	177	4	∞	∞	PROPN
ejpam-4745	177	5	0	0	NUM
ejpam-4745	177	6	∫	∫	PROPN
ejpam-4745	178	1	∞	∞	PROPN
ejpam-4745	178	2	0	0	PUNCT
ejpam-4745	178	3	e−ts−uv	e−ts−uv	X
ejpam-4745	178	4	(	(	PUNCT
ejpam-4745	178	5	φ(t	φ(t	PROPN
ejpam-4745	178	6	,	,	PUNCT
ejpam-4745	178	7	u	u	NOUN
ejpam-4745	178	8	)	)	PUNCT
ejpam-4745	178	9	∗	∗	NOUN
ejpam-4745	178	10	∗ψ(t	∗ψ(t	PROPN
ejpam-4745	178	11	,	,	PUNCT
ejpam-4745	178	12	u))dt	u))dt	NOUN
ejpam-4745	178	13	du	du	PROPN
ejpam-4745	178	14	=	=	SYM
ejpam-4745	178	15	v	v	NUM
ejpam-4745	178	16	∫	∫	PROPN
ejpam-4745	178	17	∞	∞	PROPN
ejpam-4745	178	18	0	0	NUM
ejpam-4745	178	19	∫	∫	PROPN
ejpam-4745	178	20	∞	∞	PROPN
ejpam-4745	178	21	0	0	PUNCT
ejpam-4745	178	22	e−ts−uv	e−ts−uv	NOUN
ejpam-4745	178	23	(	(	PUNCT
ejpam-4745	178	24	∫	∫	PROPN
ejpam-4745	178	25	t	t	PROPN
ejpam-4745	178	26	0	0	NUM
ejpam-4745	178	27	∫	∫	PROPN
ejpam-4745	178	28	u	u	NOUN
ejpam-4745	178	29	0	0	PUNCT
ejpam-4745	178	30	φ(t−	φ(t−	PROPN
ejpam-4745	178	31	τ	τ	PROPN
ejpam-4745	178	32	,	,	PUNCT
ejpam-4745	178	33	u−	u−	PROPN
ejpam-4745	178	34	ρ)ψ(τ	ρ)ψ(τ	ADJ
ejpam-4745	178	35	,	,	PUNCT
ejpam-4745	179	1	ρ)dτ	ρ)dτ	PROPN
ejpam-4745	179	2	dρ	dρ	NUM
ejpam-4745	179	3	)	)	PUNCT
ejpam-4745	179	4	dt	dt	X
ejpam-4745	179	5	du	du	PROPN
ejpam-4745	179	6	.	.	X
ejpam-4745	180	1	(	(	PUNCT
ejpam-4745	180	2	10	10	NUM
ejpam-4745	180	3	)	)	PUNCT
ejpam-4745	180	4	equation	equation	NOUN
ejpam-4745	180	5	(	(	PUNCT
ejpam-4745	180	6	10	10	NUM
ejpam-4745	180	7	)	)	PUNCT
ejpam-4745	180	8	can	can	AUX
ejpam-4745	180	9	be	be	AUX
ejpam-4745	180	10	written	write	VERB
ejpam-4745	180	11	as	as	ADP
ejpam-4745	180	12	ltgu	ltgu	NOUN
ejpam-4745	180	13	[	[	X
ejpam-4745	180	14	φ(t	φ(t	PROPN
ejpam-4745	180	15	,	,	PUNCT
ejpam-4745	180	16	u	u	NOUN
ejpam-4745	180	17	)	)	PUNCT
ejpam-4745	180	18	∗	∗	NOUN
ejpam-4745	180	19	∗ψ(t	∗ψ(t	PROPN
ejpam-4745	180	20	,	,	PUNCT
ejpam-4745	180	21	u	u	NOUN
ejpam-4745	180	22	)	)	PUNCT
ejpam-4745	180	23	]	]	PUNCT
ejpam-4745	181	1	=	=	PUNCT
ejpam-4745	181	2	v	v	NUM
ejpam-4745	181	3	∫	∫	PROPN
ejpam-4745	181	4	∞	∞	PROPN
ejpam-4745	181	5	0	0	NUM
ejpam-4745	181	6	∫	∫	PROPN
ejpam-4745	182	1	∞	∞	PROPN
ejpam-4745	182	2	0	0	PUNCT
ejpam-4745	182	3	e−ts−uv	e−ts−uv	X
ejpam-4745	182	4	(	(	PUNCT
ejpam-4745	182	5	∫	∫	PROPN
ejpam-4745	182	6	∞	∞	PROPN
ejpam-4745	182	7	0	0	NUM
ejpam-4745	183	1	∫	∫	PROPN
ejpam-4745	183	2	∞	∞	NUM
ejpam-4745	183	3	0	0	NUM
ejpam-4745	184	1	φ(t−	φ(t−	PROPN
ejpam-4745	184	2	τ	τ	PROPN
ejpam-4745	184	3	,	,	PUNCT
ejpam-4745	184	4	u−	u−	PROPN
ejpam-4745	184	5	ρ)h	ρ)h	NOUN
ejpam-4745	184	6	(	(	PUNCT
ejpam-4745	184	7	t−	t−	PROPN
ejpam-4745	184	8	τ	τ	PROPN
ejpam-4745	184	9	,	,	PUNCT
ejpam-4745	184	10	u−	u−	PROPN
ejpam-4745	184	11	ρ)ψ(τ	ρ)ψ(τ	ADJ
ejpam-4745	184	12	,	,	PUNCT
ejpam-4745	184	13	ρ)dτ	ρ)dτ	PROPN
ejpam-4745	184	14	dρ	dρ	NUM
ejpam-4745	184	15	)	)	PUNCT
ejpam-4745	184	16	dt	dt	X
ejpam-4745	184	17	du	du	PROPN
ejpam-4745	184	18	=	=	SYM
ejpam-4745	184	19	∫	∫	PROPN
ejpam-4745	184	20	∞	∞	PROPN
ejpam-4745	184	21	0	0	NUM
ejpam-4745	185	1	∫	∫	PROPN
ejpam-4745	185	2	∞	∞	NUM
ejpam-4745	185	3	0	0	NUM
ejpam-4745	186	1	ψ	ψ	X
ejpam-4745	186	2	(	(	PUNCT
ejpam-4745	186	3	τ	τ	PROPN
ejpam-4745	186	4	,	,	PUNCT
ejpam-4745	186	5	ρ	ρ	PROPN
ejpam-4745	186	6	)	)	PUNCT
ejpam-4745	186	7	dτ	dτ	NOUN
ejpam-4745	186	8	dρ	dρ	PROPN
ejpam-4745	186	9	(	(	PUNCT
ejpam-4745	186	10	v	v	NUM
ejpam-4745	186	11	∫	∫	NOUN
ejpam-4745	186	12	∞	∞	PROPN
ejpam-4745	186	13	0	0	NUM
ejpam-4745	186	14	∫	∫	PROPN
ejpam-4745	187	1	∞	∞	PROPN
ejpam-4745	187	2	0	0	NUM
ejpam-4745	188	1	e−s(t+τ)−v(u+ρ)φ(t−	e−s(t+τ)−v(u+ρ)φ(t−	PROPN
ejpam-4745	188	2	τ	τ	PROPN
ejpam-4745	188	3	,	,	PUNCT
ejpam-4745	188	4	u−	u−	PROPN
ejpam-4745	188	5	ρ)h	ρ)h	NOUN
ejpam-4745	188	6	(	(	PUNCT
ejpam-4745	188	7	t−	t−	PROPN
ejpam-4745	188	8	τ	τ	PROPN
ejpam-4745	188	9	,	,	PUNCT
ejpam-4745	188	10	u−	u−	PROPN
ejpam-4745	188	11	ρ	ρ	NOUN
ejpam-4745	188	12	)	)	PUNCT
ejpam-4745	188	13	)	)	PUNCT
ejpam-4745	189	1	dt	dt	X
ejpam-4745	189	2	du	du	PROPN
ejpam-4745	189	3	=	=	SYM
ejpam-4745	189	4	ψ(s	ψ(s	PROPN
ejpam-4745	189	5	,	,	PUNCT
ejpam-4745	189	6	v	v	NOUN
ejpam-4745	189	7	)	)	PUNCT
ejpam-4745	189	8	∫	∫	PROPN
ejpam-4745	190	1	∞	∞	PROPN
ejpam-4745	190	2	0	0	NUM
ejpam-4745	191	1	∫	∫	PROPN
ejpam-4745	191	2	∞	∞	PROPN
ejpam-4745	191	3	0	0	NUM
ejpam-4745	192	1	e−sτ−vρφ	e−sτ−vρφ	PROPN
ejpam-4745	192	2	(	(	PUNCT
ejpam-4745	192	3	τ	τ	PROPN
ejpam-4745	192	4	,	,	PUNCT
ejpam-4745	192	5	ρ	ρ	PROPN
ejpam-4745	192	6	)	)	PUNCT
ejpam-4745	192	7	dτ	dτ	NOUN
ejpam-4745	193	1	dρ	dρ	NOUN
ejpam-4745	193	2	=	=	NOUN
ejpam-4745	193	3	1	1	NUM
ejpam-4745	193	4	v	v	X
ejpam-4745	193	5	ψ(s	ψ(s	PROPN
ejpam-4745	193	6	,	,	PUNCT
ejpam-4745	193	7	v)φ	v)φ	NOUN
ejpam-4745	193	8	(	(	PUNCT
ejpam-4745	193	9	s	s	X
ejpam-4745	193	10	,	,	PUNCT
ejpam-4745	193	11	v	v	NOUN
ejpam-4745	193	12	)	)	PUNCT
ejpam-4745	193	13	.	.	PUNCT
ejpam-4745	194	1	where	where	SCONJ
ejpam-4745	194	2	h	h	NOUN
ejpam-4745	194	3	(	(	PUNCT
ejpam-4745	194	4	t−	t−	PROPN
ejpam-4745	194	5	τ	τ	PROPN
ejpam-4745	194	6	,	,	PUNCT
ejpam-4745	194	7	u−	u−	PROPN
ejpam-4745	194	8	ρ	ρ	NOUN
ejpam-4745	194	9	)	)	PUNCT
ejpam-4745	194	10	is	be	AUX
ejpam-4745	194	11	the	the	DET
ejpam-4745	194	12	heaviside	heaviside	ADJ
ejpam-4745	194	13	unit	unit	NOUN
ejpam-4745	194	14	step	step	NOUN
ejpam-4745	194	15	function	function	NOUN
ejpam-4745	194	16	.	.	PUNCT
ejpam-4745	195	1	theorem	theorem	NOUN
ejpam-4745	195	2	5	5	NUM
ejpam-4745	195	3	.	.	PUNCT
ejpam-4745	195	4	suppose	suppose	VERB
ejpam-4745	195	5	that	that	SCONJ
ejpam-4745	195	6	φ(t	φ(t	PROPN
ejpam-4745	195	7	,	,	PUNCT
ejpam-4745	195	8	u	u	NOUN
ejpam-4745	195	9	)	)	PUNCT
ejpam-4745	195	10	is	be	AUX
ejpam-4745	195	11	a	a	DET
ejpam-4745	195	12	continuous	continuous	ADJ
ejpam-4745	195	13	function	function	NOUN
ejpam-4745	195	14	and	and	CCONJ
ejpam-4745	195	15	ltgu	ltgu	NOUN
ejpam-4745	195	16	[	[	X
ejpam-4745	195	17	φ(t	φ(t	PROPN
ejpam-4745	195	18	,	,	PUNCT
ejpam-4745	195	19	u	u	NOUN
ejpam-4745	195	20	)	)	PUNCT
ejpam-4745	195	21	]	]	PUNCT
ejpam-4745	196	1	=	=	SYM
ejpam-4745	196	2	φ	φ	X
ejpam-4745	196	3	(	(	PUNCT
ejpam-4745	196	4	s	s	PROPN
ejpam-4745	196	5	,	,	PUNCT
ejpam-4745	196	6	v	v	NOUN
ejpam-4745	196	7	)	)	PUNCT
ejpam-4745	196	8	.	.	PUNCT
ejpam-4745	197	1	then	then	ADV
ejpam-4745	197	2	,	,	PUNCT
ejpam-4745	197	3	we	we	PRON
ejpam-4745	197	4	have	have	VERB
ejpam-4745	197	5	the	the	DET
ejpam-4745	197	6	following	follow	VERB
ejpam-4745	197	7	properties	property	NOUN
ejpam-4745	197	8	of	of	ADP
ejpam-4745	197	9	derivatives	derivative	NOUN
ejpam-4745	197	10	(	(	PUNCT
ejpam-4745	197	11	i	i	NOUN
ejpam-4745	197	12	)	)	PUNCT
ejpam-4745	197	13	ltgu	ltgu	PROPN
ejpam-4745	197	14	[	[	PUNCT
ejpam-4745	197	15	∂φ(t	∂φ(t	PROPN
ejpam-4745	197	16	,	,	PUNCT
ejpam-4745	197	17	u	u	NOUN
ejpam-4745	197	18	)	)	PUNCT
ejpam-4745	197	19	∂u	∂u	PROPN
ejpam-4745	197	20	]	]	PUNCT
ejpam-4745	198	1	=	=	PUNCT
ejpam-4745	198	2	vφ	vφ	INTJ
ejpam-4745	198	3	(	(	PUNCT
ejpam-4745	198	4	s	s	X
ejpam-4745	198	5	,	,	PUNCT
ejpam-4745	198	6	v)−	v)−	PROPN
ejpam-4745	198	7	vlt	vlt	X
ejpam-4745	198	8	[	[	X
ejpam-4745	198	9	φ(t	φ(t	PROPN
ejpam-4745	198	10	,	,	PUNCT
ejpam-4745	198	11	0	0	NUM
ejpam-4745	198	12	)	)	PUNCT
ejpam-4745	198	13	]	]	PUNCT
ejpam-4745	198	14	,	,	PUNCT
ejpam-4745	198	15	(	(	PUNCT
ejpam-4745	198	16	ii	ii	NOUN
ejpam-4745	198	17	)	)	PUNCT
ejpam-4745	198	18	ltgu	ltgu	NOUN
ejpam-4745	198	19	[	[	PUNCT
ejpam-4745	198	20	∂φ(t	∂φ(t	PROPN
ejpam-4745	198	21	,	,	PUNCT
ejpam-4745	198	22	u	u	NOUN
ejpam-4745	198	23	)	)	PUNCT
ejpam-4745	198	24	∂t	∂t	PROPN
ejpam-4745	198	25	]	]	X
ejpam-4745	199	1	=	=	SYM
ejpam-4745	199	2	sφ	sφ	PROPN
ejpam-4745	199	3	(	(	PUNCT
ejpam-4745	199	4	s	s	PROPN
ejpam-4745	199	5	,	,	PUNCT
ejpam-4745	199	6	v)−	v)−	PROPN
ejpam-4745	199	7	gu	gu	NOUN
ejpam-4745	200	1	[	[	X
ejpam-4745	200	2	φ(0	φ(0	ADJ
ejpam-4745	200	3	,	,	PUNCT
ejpam-4745	200	4	u	u	NOUN
ejpam-4745	200	5	)	)	PUNCT
ejpam-4745	200	6	]	]	PUNCT
ejpam-4745	200	7	,	,	PUNCT
ejpam-4745	200	8	(	(	PUNCT
ejpam-4745	200	9	iii	iii	NOUN
ejpam-4745	200	10	)	)	PUNCT
ejpam-4745	200	11	ltgu	ltgu	NOUN
ejpam-4745	200	12	[	[	PUNCT
ejpam-4745	200	13	∂2φ(t	∂2φ(t	SYM
ejpam-4745	200	14	,	,	PUNCT
ejpam-4745	200	15	u	u	NOUN
ejpam-4745	200	16	)	)	PUNCT
ejpam-4745	200	17	∂u2	∂u2	NOUN
ejpam-4745	200	18	]	]	PUNCT
ejpam-4745	200	19	=	=	PUNCT
ejpam-4745	200	20	v2φ	v2φ	PRON
ejpam-4745	200	21	(	(	PUNCT
ejpam-4745	200	22	s	s	X
ejpam-4745	200	23	,	,	PUNCT
ejpam-4745	200	24	v)−	v)−	PROPN
ejpam-4745	200	25	v2lt	v2lt	PUNCT
ejpam-4745	200	26	[	[	X
ejpam-4745	200	27	φ(t	φ(t	PROPN
ejpam-4745	200	28	,	,	PUNCT
ejpam-4745	200	29	0)]−	0)]−	NUM
ejpam-4745	200	30	vlt	vlt	PROPN
ejpam-4745	200	31	[	[	PUNCT
ejpam-4745	200	32	∂φ(t	∂φ(t	PROPN
ejpam-4745	200	33	,	,	PUNCT
ejpam-4745	200	34	0	0	NUM
ejpam-4745	200	35	)	)	PUNCT
ejpam-4745	200	36	∂u	∂u	NOUN
ejpam-4745	200	37	]	]	PUNCT
ejpam-4745	200	38	,	,	PUNCT
ejpam-4745	200	39	(	(	PUNCT
ejpam-4745	200	40	iv	iv	X
ejpam-4745	200	41	)	)	PUNCT
ejpam-4745	200	42	ltgu	ltgu	NOUN
ejpam-4745	200	43	[	[	PUNCT
ejpam-4745	200	44	∂2φ(t	∂2φ(t	SYM
ejpam-4745	200	45	,	,	PUNCT
ejpam-4745	200	46	u	u	NOUN
ejpam-4745	200	47	)	)	PUNCT
ejpam-4745	200	48	∂t2	∂t2	NOUN
ejpam-4745	200	49	]	]	PUNCT
ejpam-4745	200	50	=	=	SYM
ejpam-4745	200	51	s2φ	s2φ	X
ejpam-4745	200	52	(	(	PUNCT
ejpam-4745	200	53	s	s	X
ejpam-4745	200	54	,	,	PUNCT
ejpam-4745	200	55	v)−	v)−	PROPN
ejpam-4745	200	56	sgu	sgu	NOUN
ejpam-4745	201	1	[	[	X
ejpam-4745	201	2	φ(0	φ(0	ADJ
ejpam-4745	201	3	,	,	PUNCT
ejpam-4745	201	4	u)]−	u)]−	NOUN
ejpam-4745	201	5	gu	gu	PROPN
ejpam-4745	201	6	[	[	PUNCT
ejpam-4745	201	7	∂φ(0	∂φ(0	PROPN
ejpam-4745	201	8	,	,	PUNCT
ejpam-4745	201	9	u	u	NOUN
ejpam-4745	201	10	)	)	PUNCT
ejpam-4745	201	11	∂u	∂u	PROPN
ejpam-4745	201	12	]	]	PUNCT
ejpam-4745	201	13	,	,	PUNCT
ejpam-4745	201	14	(	(	PUNCT
ejpam-4745	201	15	v	v	NOUN
ejpam-4745	201	16	)	)	PUNCT
ejpam-4745	201	17	ltgu	ltgu	NOUN
ejpam-4745	201	18	[	[	PUNCT
ejpam-4745	201	19	∂2φ(t	∂2φ(t	SYM
ejpam-4745	201	20	,	,	PUNCT
ejpam-4745	201	21	u	u	NOUN
ejpam-4745	201	22	)	)	PUNCT
ejpam-4745	201	23	∂t∂u	∂t∂u	NOUN
ejpam-4745	201	24	]	]	PUNCT
ejpam-4745	201	25	=	=	PUNCT
ejpam-4745	201	26	svφ	svφ	PROPN
ejpam-4745	201	27	(	(	PUNCT
ejpam-4745	201	28	s	s	X
ejpam-4745	201	29	,	,	PUNCT
ejpam-4745	201	30	v)−	v)−	PROPN
ejpam-4745	201	31	svlt	svlt	NOUN
ejpam-4745	201	32	[	[	X
ejpam-4745	201	33	φ(t	φ(t	PROPN
ejpam-4745	201	34	,	,	PUNCT
ejpam-4745	201	35	0)]−	0)]−	NUM
ejpam-4745	201	36	vgu	vgu	NOUN
ejpam-4745	202	1	[	[	X
ejpam-4745	202	2	φ(0	φ(0	ADJ
ejpam-4745	202	3	,	,	PUNCT
ejpam-4745	202	4	u	u	NOUN
ejpam-4745	202	5	)	)	PUNCT
ejpam-4745	202	6	]	]	PUNCT
ejpam-4745	203	1	+	+	CCONJ
ejpam-4745	203	2	vφ(0	vφ(0	PROPN
ejpam-4745	203	3	,	,	PUNCT
ejpam-4745	203	4	0	0	NUM
ejpam-4745	203	5	)	)	PUNCT
ejpam-4745	203	6	.	.	PUNCT
ejpam-4745	204	1	proof	proof	NOUN
ejpam-4745	204	2	.	.	PUNCT
ejpam-4745	205	1	a.	a.	NOUN
ejpam-4745	205	2	qazza	qazza	PROPN
ejpam-4745	205	3	/	/	SYM
ejpam-4745	205	4	eur	eur	PROPN
ejpam-4745	205	5	.	.	PUNCT
ejpam-4745	206	1	j.	j.	PROPN
ejpam-4745	206	2	pure	pure	PROPN
ejpam-4745	206	3	appl	appl	PROPN
ejpam-4745	206	4	.	.	PROPN
ejpam-4745	206	5	math	math	PROPN
ejpam-4745	206	6	,	,	PUNCT
ejpam-4745	206	7	16	16	NUM
ejpam-4745	206	8	(	(	PUNCT
ejpam-4745	206	9	2	2	NUM
ejpam-4745	206	10	)	)	PUNCT
ejpam-4745	206	11	(	(	PUNCT
ejpam-4745	206	12	2023	2023	NUM
ejpam-4745	206	13	)	)	PUNCT
ejpam-4745	206	14	,	,	PUNCT
ejpam-4745	206	15	919	919	NUM
ejpam-4745	206	16	-	-	SYM
ejpam-4745	206	17	933	933	NUM
ejpam-4745	206	18	926	926	NUM
ejpam-4745	206	19	(	(	PUNCT
ejpam-4745	206	20	i	i	NOUN
ejpam-4745	206	21	)	)	PUNCT
ejpam-4745	206	22	ltgu	ltgu	PROPN
ejpam-4745	206	23	[	[	PUNCT
ejpam-4745	206	24	∂φ(t	∂φ(t	PROPN
ejpam-4745	206	25	,	,	PUNCT
ejpam-4745	206	26	u	u	NOUN
ejpam-4745	206	27	)	)	PUNCT
ejpam-4745	206	28	∂u	∂u	PROPN
ejpam-4745	206	29	]	]	PUNCT
ejpam-4745	207	1	=	=	PUNCT
ejpam-4745	207	2	v	v	NUM
ejpam-4745	207	3	∫	∫	PROPN
ejpam-4745	207	4	∞	∞	PROPN
ejpam-4745	207	5	0	0	NUM
ejpam-4745	207	6	∫	∫	PROPN
ejpam-4745	207	7	∞	∞	PROPN
ejpam-4745	207	8	0	0	PROPN
ejpam-4745	207	9	e−ts−uv	e−ts−uv	NOUN
ejpam-4745	207	10	∂φ(t	∂φ(t	PROPN
ejpam-4745	207	11	,	,	PUNCT
ejpam-4745	207	12	u	u	NOUN
ejpam-4745	207	13	)	)	PUNCT
ejpam-4745	207	14	∂u	∂u	PROPN
ejpam-4745	207	15	dt	dt	NOUN
ejpam-4745	207	16	du	du	PROPN
ejpam-4745	207	17	=	=	SYM
ejpam-4745	207	18	∫	∫	PROPN
ejpam-4745	207	19	∞	∞	PROPN
ejpam-4745	207	20	0	0	NUM
ejpam-4745	208	1	e−tsdt	e−tsdt	NOUN
ejpam-4745	208	2	v	v	NUM
ejpam-4745	208	3	∫	∫	PROPN
ejpam-4745	208	4	∞	∞	PROPN
ejpam-4745	208	5	0	0	PROPN
ejpam-4745	208	6	e−uv	e−uv	PROPN
ejpam-4745	208	7	∂φ	∂φ	PROPN
ejpam-4745	208	8	(	(	PUNCT
ejpam-4745	208	9	t	t	PROPN
ejpam-4745	208	10	,	,	PUNCT
ejpam-4745	208	11	u	u	NOUN
ejpam-4745	208	12	)	)	PUNCT
ejpam-4745	208	13	∂u	∂u	PROPN
ejpam-4745	208	14	du	du	X
ejpam-4745	208	15	=	=	SYM
ejpam-4745	208	16	∫	∫	PROPN
ejpam-4745	209	1	∞	∞	PROPN
ejpam-4745	209	2	0	0	NUM
ejpam-4745	209	3	e−ts	e−t	NOUN
ejpam-4745	209	4	(	(	PUNCT
ejpam-4745	209	5	vφ	vφ	X
ejpam-4745	209	6	(	(	PUNCT
ejpam-4745	209	7	t	t	PROPN
ejpam-4745	209	8	,	,	PUNCT
ejpam-4745	209	9	v)−	v)−	PROPN
ejpam-4745	209	10	vφ	vφ	X
ejpam-4745	209	11	(	(	PUNCT
ejpam-4745	209	12	t	t	PROPN
ejpam-4745	209	13	,	,	PUNCT
ejpam-4745	209	14	0	0	NUM
ejpam-4745	209	15	)	)	PUNCT
ejpam-4745	209	16	)	)	PUNCT
ejpam-4745	209	17	dt	dt	NOUN
ejpam-4745	210	1	=	=	NOUN
ejpam-4745	210	2	vφ	vφ	X
ejpam-4745	210	3	(	(	PUNCT
ejpam-4745	210	4	s	s	X
ejpam-4745	210	5	,	,	PUNCT
ejpam-4745	210	6	v)−	v)−	PROPN
ejpam-4745	210	7	vlt	vlt	X
ejpam-4745	210	8	[	[	X
ejpam-4745	210	9	φ(t	φ(t	PROPN
ejpam-4745	210	10	,	,	PUNCT
ejpam-4745	210	11	0	0	NUM
ejpam-4745	210	12	)	)	PUNCT
ejpam-4745	210	13	]	]	PUNCT
ejpam-4745	210	14	.	.	PUNCT
ejpam-4745	211	1	(	(	PUNCT
ejpam-4745	211	2	ii	ii	NOUN
ejpam-4745	211	3	)	)	PUNCT
ejpam-4745	211	4	ltgu	ltgu	NOUN
ejpam-4745	211	5	[	[	PUNCT
ejpam-4745	211	6	∂φ(t	∂φ(t	PROPN
ejpam-4745	211	7	,	,	PUNCT
ejpam-4745	211	8	u	u	NOUN
ejpam-4745	211	9	)	)	PUNCT
ejpam-4745	211	10	∂t	∂t	PROPN
ejpam-4745	211	11	]	]	X
ejpam-4745	212	1	=	=	PUNCT
ejpam-4745	212	2	v	v	NUM
ejpam-4745	212	3	∫	∫	PROPN
ejpam-4745	212	4	∞	∞	PROPN
ejpam-4745	212	5	0	0	NUM
ejpam-4745	212	6	∫	∫	PROPN
ejpam-4745	212	7	∞	∞	PROPN
ejpam-4745	212	8	0	0	PROPN
ejpam-4745	212	9	e−ts−uv	e−ts−uv	NOUN
ejpam-4745	212	10	∂φ(t	∂φ(t	PROPN
ejpam-4745	212	11	,	,	PUNCT
ejpam-4745	212	12	u	u	NOUN
ejpam-4745	212	13	)	)	PUNCT
ejpam-4745	212	14	∂t	∂t	PROPN
ejpam-4745	212	15	dt	dt	X
ejpam-4745	212	16	du	du	PROPN
ejpam-4745	212	17	=	=	PROPN
ejpam-4745	212	18	v	v	NUM
ejpam-4745	212	19	∫	∫	PROPN
ejpam-4745	212	20	∞	∞	NUM
ejpam-4745	212	21	0	0	NUM
ejpam-4745	212	22	e−uvdu	e−uvdu	NOUN
ejpam-4745	212	23	∫	∫	PROPN
ejpam-4745	212	24	∞	∞	PROPN
ejpam-4745	212	25	0	0	NUM
ejpam-4745	212	26	e−ts	e−ts	PROPN
ejpam-4745	212	27	∂φ(t	∂φ(t	NOUN
ejpam-4745	212	28	,	,	PUNCT
ejpam-4745	212	29	u	u	NOUN
ejpam-4745	212	30	)	)	PUNCT
ejpam-4745	212	31	∂t	∂t	PROPN
ejpam-4745	212	32	dt	dt	X
ejpam-4745	213	1	=	=	SYM
ejpam-4745	213	2	v	v	NUM
ejpam-4745	213	3	∫	∫	PROPN
ejpam-4745	213	4	∞	∞	PROPN
ejpam-4745	213	5	0	0	NUM
ejpam-4745	213	6	e−uv	e−uv	NOUN
ejpam-4745	213	7	(	(	PUNCT
ejpam-4745	213	8	φ(s	φ(s	PROPN
ejpam-4745	213	9	,	,	PUNCT
ejpam-4745	213	10	u)−	u)−	PROPN
ejpam-4745	213	11	φ	φ	PROPN
ejpam-4745	213	12	(	(	PUNCT
ejpam-4745	213	13	0	0	NUM
ejpam-4745	213	14	,	,	PUNCT
ejpam-4745	213	15	u	u	NOUN
ejpam-4745	213	16	)	)	PUNCT
ejpam-4745	213	17	)	)	PUNCT
ejpam-4745	213	18	du	du	PROPN
ejpam-4745	214	1	=	=	SYM
ejpam-4745	214	2	sφ	sφ	PROPN
ejpam-4745	214	3	(	(	PUNCT
ejpam-4745	214	4	s	s	PROPN
ejpam-4745	214	5	,	,	PUNCT
ejpam-4745	214	6	v)−	v)−	PROPN
ejpam-4745	214	7	gu	gu	NOUN
ejpam-4745	215	1	[	[	X
ejpam-4745	215	2	φ(0	φ(0	ADJ
ejpam-4745	215	3	,	,	PUNCT
ejpam-4745	215	4	u	u	NOUN
ejpam-4745	215	5	)	)	PUNCT
ejpam-4745	215	6	]	]	PUNCT
ejpam-4745	215	7	.	.	PUNCT
ejpam-4745	216	1	(	(	PUNCT
ejpam-4745	216	2	iii	iii	X
ejpam-4745	216	3	)	)	PUNCT
ejpam-4745	216	4	ltgu	ltgu	NOUN
ejpam-4745	216	5	[	[	PUNCT
ejpam-4745	216	6	∂2φ(t	∂2φ(t	SYM
ejpam-4745	216	7	,	,	PUNCT
ejpam-4745	216	8	u	u	NOUN
ejpam-4745	216	9	)	)	PUNCT
ejpam-4745	216	10	∂u2	∂u2	NOUN
ejpam-4745	216	11	]	]	PUNCT
ejpam-4745	217	1	=	=	PUNCT
ejpam-4745	217	2	v	v	NUM
ejpam-4745	217	3	∫	∫	PROPN
ejpam-4745	217	4	∞	∞	PROPN
ejpam-4745	217	5	0	0	NUM
ejpam-4745	217	6	∫	∫	PROPN
ejpam-4745	218	1	∞	∞	PROPN
ejpam-4745	218	2	0	0	PROPN
ejpam-4745	218	3	e−ts−uv	e−ts−uv	X
ejpam-4745	218	4	∂2φ(t	∂2φ(t	NOUN
ejpam-4745	218	5	,	,	PUNCT
ejpam-4745	218	6	u	u	NOUN
ejpam-4745	218	7	)	)	PUNCT
ejpam-4745	218	8	∂u2	∂u2	PROPN
ejpam-4745	218	9	dt	dt	X
ejpam-4745	218	10	du	du	PROPN
ejpam-4745	218	11	=	=	SYM
ejpam-4745	218	12	∫	∫	PROPN
ejpam-4745	218	13	∞	∞	PROPN
ejpam-4745	218	14	0	0	NUM
ejpam-4745	219	1	e−tsdt	e−tsdt	NOUN
ejpam-4745	219	2	v	v	NUM
ejpam-4745	219	3	∫	∫	PROPN
ejpam-4745	219	4	∞	∞	PROPN
ejpam-4745	219	5	0	0	PROPN
ejpam-4745	219	6	e−uv	e−uv	PROPN
ejpam-4745	219	7	∂2φ(t	∂2φ(t	NOUN
ejpam-4745	219	8	,	,	PUNCT
ejpam-4745	219	9	u	u	NOUN
ejpam-4745	219	10	)	)	PUNCT
ejpam-4745	219	11	∂u2	∂u2	PROPN
ejpam-4745	219	12	du	du	X
ejpam-4745	219	13	=	=	SYM
ejpam-4745	219	14	∫	∫	PROPN
ejpam-4745	219	15	∞	∞	PROPN
ejpam-4745	219	16	0	0	NUM
ejpam-4745	219	17	e−ts	e−t	NOUN
ejpam-4745	219	18	(	(	PUNCT
ejpam-4745	219	19	v2φ	v2φ	PRON
ejpam-4745	219	20	(	(	PUNCT
ejpam-4745	219	21	t	t	PROPN
ejpam-4745	219	22	,	,	PUNCT
ejpam-4745	219	23	v)−	v)−	PROPN
ejpam-4745	219	24	v2φ(t	v2φ(t	PROPN
ejpam-4745	219	25	,	,	PUNCT
ejpam-4745	219	26	0)−	0)−	PROPN
ejpam-4745	219	27	v	v	X
ejpam-4745	219	28	∂φ(t	∂φ(t	PROPN
ejpam-4745	219	29	,	,	PUNCT
ejpam-4745	219	30	0	0	NUM
ejpam-4745	219	31	)	)	PUNCT
ejpam-4745	219	32	∂u	∂u	NOUN
ejpam-4745	219	33	)	)	PUNCT
ejpam-4745	219	34	dt	dt	NOUN
ejpam-4745	220	1	=	=	PUNCT
ejpam-4745	220	2	v2φ	v2φ	PRON
ejpam-4745	220	3	(	(	PUNCT
ejpam-4745	220	4	s	s	X
ejpam-4745	220	5	,	,	PUNCT
ejpam-4745	220	6	v)−	v)−	PROPN
ejpam-4745	220	7	v2lt	v2lt	PUNCT
ejpam-4745	220	8	[	[	X
ejpam-4745	220	9	φ(t	φ(t	PROPN
ejpam-4745	220	10	,	,	PUNCT
ejpam-4745	220	11	0)]−	0)]−	NUM
ejpam-4745	220	12	vlt	vlt	PROPN
ejpam-4745	220	13	[	[	PUNCT
ejpam-4745	220	14	∂φ(t	∂φ(t	PROPN
ejpam-4745	220	15	,	,	PUNCT
ejpam-4745	220	16	0	0	NUM
ejpam-4745	220	17	)	)	PUNCT
ejpam-4745	220	18	∂u	∂u	NOUN
ejpam-4745	220	19	]	]	PUNCT
ejpam-4745	220	20	.	.	PUNCT
ejpam-4745	221	1	(	(	PUNCT
ejpam-4745	221	2	iv	iv	X
ejpam-4745	221	3	)	)	PUNCT
ejpam-4745	221	4	ltgu	ltgu	NOUN
ejpam-4745	221	5	[	[	PUNCT
ejpam-4745	221	6	∂2φ(t	∂2φ(t	SYM
ejpam-4745	221	7	,	,	PUNCT
ejpam-4745	221	8	u	u	NOUN
ejpam-4745	221	9	)	)	PUNCT
ejpam-4745	221	10	∂t2	∂t2	NOUN
ejpam-4745	221	11	]	]	PUNCT
ejpam-4745	222	1	=	=	SYM
ejpam-4745	222	2	v	v	NUM
ejpam-4745	222	3	∫	∫	PROPN
ejpam-4745	222	4	∞	∞	PROPN
ejpam-4745	222	5	0	0	NUM
ejpam-4745	222	6	∫	∫	PROPN
ejpam-4745	223	1	∞	∞	PROPN
ejpam-4745	223	2	0	0	PROPN
ejpam-4745	223	3	e−ts−uv	e−ts−uv	X
ejpam-4745	223	4	∂2φ(t	∂2φ(t	NOUN
ejpam-4745	223	5	,	,	PUNCT
ejpam-4745	223	6	u	u	NOUN
ejpam-4745	223	7	)	)	PUNCT
ejpam-4745	223	8	∂t2	∂t2	NOUN
ejpam-4745	223	9	dt	dt	X
ejpam-4745	223	10	du	du	PROPN
ejpam-4745	223	11	=	=	SYM
ejpam-4745	223	12	v	v	NUM
ejpam-4745	223	13	∫	∫	PROPN
ejpam-4745	223	14	∞	∞	NUM
ejpam-4745	223	15	0	0	NUM
ejpam-4745	223	16	e−uvdu	e−uvdu	NOUN
ejpam-4745	223	17	∫	∫	PROPN
ejpam-4745	223	18	∞	∞	NUM
ejpam-4745	223	19	0	0	NUM
ejpam-4745	223	20	e−ts	e−t	NOUN
ejpam-4745	223	21	∂2φ(t	∂2φ(t	NUM
ejpam-4745	223	22	,	,	PUNCT
ejpam-4745	223	23	u	u	NOUN
ejpam-4745	223	24	)	)	PUNCT
ejpam-4745	223	25	∂t2	∂t2	NOUN
ejpam-4745	223	26	dt	dt	X
ejpam-4745	223	27	=	=	SYM
ejpam-4745	223	28	v	v	NUM
ejpam-4745	223	29	∫	∫	PROPN
ejpam-4745	223	30	∞	∞	PROPN
ejpam-4745	223	31	0	0	PROPN
ejpam-4745	223	32	e−uv	e−uv	PROPN
ejpam-4745	223	33	(	(	PUNCT
ejpam-4745	223	34	s2φ	s2φ	X
ejpam-4745	223	35	(	(	PUNCT
ejpam-4745	223	36	s	s	X
ejpam-4745	223	37	,	,	PUNCT
ejpam-4745	223	38	u)−	u)−	PROPN
ejpam-4745	223	39	sφ(0	sφ(0	PROPN
ejpam-4745	223	40	,	,	PUNCT
ejpam-4745	223	41	u)−	u)−	PROPN
ejpam-4745	223	42	∂φ(0	∂φ(0	PROPN
ejpam-4745	223	43	,	,	PUNCT
ejpam-4745	223	44	u	u	NOUN
ejpam-4745	223	45	)	)	PUNCT
ejpam-4745	223	46	∂t	∂t	PROPN
ejpam-4745	223	47	)	)	PUNCT
ejpam-4745	223	48	du	du	PROPN
ejpam-4745	223	49	=	=	PUNCT
ejpam-4745	223	50	s2φ	s2φ	PROPN
ejpam-4745	223	51	(	(	PUNCT
ejpam-4745	223	52	s	s	X
ejpam-4745	223	53	,	,	PUNCT
ejpam-4745	223	54	v)−	v)−	PROPN
ejpam-4745	223	55	sgu	sgu	NOUN
ejpam-4745	223	56	[	[	X
ejpam-4745	223	57	φ(0	φ(0	ADJ
ejpam-4745	223	58	,	,	PUNCT
ejpam-4745	223	59	u)]−	u)]−	NOUN
ejpam-4745	223	60	gu	gu	PROPN
ejpam-4745	223	61	[	[	PUNCT
ejpam-4745	223	62	∂φ(0	∂φ(0	PROPN
ejpam-4745	223	63	,	,	PUNCT
ejpam-4745	223	64	u	u	NOUN
ejpam-4745	223	65	)	)	PUNCT
ejpam-4745	223	66	∂t	∂t	PROPN
ejpam-4745	223	67	]	]	PUNCT
ejpam-4745	223	68	.	.	PUNCT
ejpam-4745	224	1	a.	a.	PROPN
ejpam-4745	224	2	qazza	qazza	PROPN
ejpam-4745	224	3	/	/	SYM
ejpam-4745	224	4	eur	eur	PROPN
ejpam-4745	224	5	.	.	PUNCT
ejpam-4745	225	1	j.	j.	PROPN
ejpam-4745	225	2	pure	pure	PROPN
ejpam-4745	225	3	appl	appl	PROPN
ejpam-4745	225	4	.	.	PROPN
ejpam-4745	225	5	math	math	PROPN
ejpam-4745	225	6	,	,	PUNCT
ejpam-4745	225	7	16	16	NUM
ejpam-4745	225	8	(	(	PUNCT
ejpam-4745	225	9	2	2	NUM
ejpam-4745	225	10	)	)	PUNCT
ejpam-4745	225	11	(	(	PUNCT
ejpam-4745	225	12	2023	2023	NUM
ejpam-4745	225	13	)	)	PUNCT
ejpam-4745	225	14	,	,	PUNCT
ejpam-4745	225	15	919	919	NUM
ejpam-4745	225	16	-	-	SYM
ejpam-4745	225	17	933	933	NUM
ejpam-4745	225	18	927	927	NUM
ejpam-4745	225	19	(	(	PUNCT
ejpam-4745	225	20	v	v	NOUN
ejpam-4745	225	21	)	)	PUNCT
ejpam-4745	225	22	ltgu	ltgu	NOUN
ejpam-4745	225	23	[	[	PUNCT
ejpam-4745	225	24	∂2φ(t	∂2φ(t	SYM
ejpam-4745	225	25	,	,	PUNCT
ejpam-4745	225	26	u	u	NOUN
ejpam-4745	225	27	)	)	PUNCT
ejpam-4745	225	28	∂t∂u	∂t∂u	NOUN
ejpam-4745	225	29	]	]	PUNCT
ejpam-4745	225	30	=	=	PUNCT
ejpam-4745	226	1	v	v	NUM
ejpam-4745	226	2	∫	∫	PROPN
ejpam-4745	226	3	∞	∞	PROPN
ejpam-4745	226	4	0	0	NUM
ejpam-4745	226	5	∫	∫	PROPN
ejpam-4745	227	1	∞	∞	PROPN
ejpam-4745	227	2	0	0	PROPN
ejpam-4745	227	3	e−ts−uv	e−ts−uv	X
ejpam-4745	227	4	∂2φ(t	∂2φ(t	NOUN
ejpam-4745	227	5	,	,	PUNCT
ejpam-4745	227	6	u	u	NOUN
ejpam-4745	227	7	)	)	PUNCT
ejpam-4745	227	8	∂t∂u	∂t∂u	NOUN
ejpam-4745	227	9	dt	dt	NOUN
ejpam-4745	227	10	du	du	PROPN
ejpam-4745	227	11	=	=	SYM
ejpam-4745	227	12	v	v	NUM
ejpam-4745	227	13	∫	∫	PROPN
ejpam-4745	227	14	∞	∞	NUM
ejpam-4745	227	15	0	0	NUM
ejpam-4745	227	16	e−uvdu	e−uvdu	NOUN
ejpam-4745	227	17	∫	∫	PROPN
ejpam-4745	227	18	∞	∞	NUM
ejpam-4745	227	19	0	0	NUM
ejpam-4745	227	20	e−ts	e−t	NOUN
ejpam-4745	227	21	∂2φ(t	∂2φ(t	NUM
ejpam-4745	227	22	,	,	PUNCT
ejpam-4745	227	23	u	u	NOUN
ejpam-4745	227	24	)	)	PUNCT
ejpam-4745	227	25	∂t∂u	∂t∂u	NOUN
ejpam-4745	227	26	dt	dt	NOUN
ejpam-4745	228	1	=	=	PUNCT
ejpam-4745	228	2	sv	sv	PROPN
ejpam-4745	228	3	∫	∫	PROPN
ejpam-4745	228	4	∞	∞	PROPN
ejpam-4745	228	5	0	0	NUM
ejpam-4745	229	1	∫	∫	PROPN
ejpam-4745	229	2	∞	∞	PROPN
ejpam-4745	229	3	0	0	PROPN
ejpam-4745	229	4	e−ts−uv	e−ts−uv	NOUN
ejpam-4745	229	5	∂φ(t	∂φ(t	PROPN
ejpam-4745	229	6	,	,	PUNCT
ejpam-4745	229	7	u	u	NOUN
ejpam-4745	229	8	)	)	PUNCT
ejpam-4745	229	9	∂u	∂u	PROPN
ejpam-4745	229	10	dt	dt	X
ejpam-4745	230	1	du−	du−	NUM
ejpam-4745	230	2	v	v	NUM
ejpam-4745	230	3	∫	∫	PROPN
ejpam-4745	230	4	∞	∞	NOUN
ejpam-4745	230	5	0	0	NUM
ejpam-4745	230	6	e−st	e−st	ADJ
ejpam-4745	230	7	∂φ(0	∂φ(0	PROPN
ejpam-4745	230	8	,	,	PUNCT
ejpam-4745	230	9	u	u	NOUN
ejpam-4745	230	10	)	)	PUNCT
ejpam-4745	230	11	∂u	∂u	PROPN
ejpam-4745	230	12	du	du	NOUN
ejpam-4745	230	13	=	=	PUNCT
ejpam-4745	230	14	svφ	svφ	PROPN
ejpam-4745	230	15	(	(	PUNCT
ejpam-4745	230	16	s	s	X
ejpam-4745	230	17	,	,	PUNCT
ejpam-4745	230	18	v)−	v)−	PROPN
ejpam-4745	230	19	v	v	NUM
ejpam-4745	230	20	gu	gu	NOUN
ejpam-4745	231	1	[	[	X
ejpam-4745	231	2	φ(0	φ(0	ADJ
ejpam-4745	231	3	,	,	PUNCT
ejpam-4745	231	4	u)]−	u)]−	NOUN
ejpam-4745	231	5	sv	sv	INTJ
ejpam-4745	231	6	lt	lt	PRON
ejpam-4745	232	1	[	[	X
ejpam-4745	232	2	φ(t	φ(t	PROPN
ejpam-4745	232	3	,	,	PUNCT
ejpam-4745	232	4	0	0	NUM
ejpam-4745	232	5	)	)	PUNCT
ejpam-4745	232	6	]	]	PUNCT
ejpam-4745	233	1	+	+	CCONJ
ejpam-4745	233	2	v	v	ADP
ejpam-4745	233	3	φ(0	φ(0	ADJ
ejpam-4745	233	4	,	,	PUNCT
ejpam-4745	233	5	0	0	NUM
ejpam-4745	233	6	)	)	PUNCT
ejpam-4745	233	7	.	.	PUNCT
ejpam-4745	234	1	4	4	X
ejpam-4745	234	2	.	.	X
ejpam-4745	234	3	applications	application	NOUN
ejpam-4745	234	4	of	of	ADP
ejpam-4745	234	5	dl	dl	PROPN
ejpam-4745	234	6	-	-	PUNCT
ejpam-4745	234	7	arat	arat	NOUN
ejpam-4745	234	8	to	to	PART
ejpam-4745	234	9	solve	solve	VERB
ejpam-4745	234	10	volterra	volterra	PROPN
ejpam-4745	234	11	integral	integral	ADJ
ejpam-4745	234	12	differential	differential	ADJ
ejpam-4745	234	13	equations	equation	NOUN
ejpam-4745	234	14	in	in	ADP
ejpam-4745	234	15	this	this	DET
ejpam-4745	234	16	part	part	NOUN
ejpam-4745	234	17	,	,	PUNCT
ejpam-4745	234	18	we	we	PRON
ejpam-4745	234	19	apply	apply	VERB
ejpam-4745	234	20	dl	dl	PROPN
ejpam-4745	234	21	-	-	PUNCT
ejpam-4745	234	22	arat	arat	NOUN
ejpam-4745	234	23	to	to	ADP
ejpam-4745	234	24	the	the	DET
ejpam-4745	234	25	following	follow	VERB
ejpam-4745	234	26	classes	class	NOUN
ejpam-4745	234	27	of	of	ADP
ejpam-4745	234	28	volterra	volterra	PROPN
ejpam-4745	234	29	integral	integral	ADJ
ejpam-4745	234	30	equations	equation	NOUN
ejpam-4745	234	31	(	(	PUNCT
ejpam-4745	234	32	vies	vie	NOUN
ejpam-4745	234	33	)	)	PUNCT
ejpam-4745	234	34	and	and	CCONJ
ejpam-4745	234	35	volterra	volterra	PROPN
ejpam-4745	234	36	partial	partial	ADJ
ejpam-4745	234	37	integro	integro	PROPN
ejpam-4745	234	38	-	-	PUNCT
ejpam-4745	234	39	differential	differential	NOUN
ejpam-4745	234	40	equations	equation	NOUN
ejpam-4745	234	41	(	(	PUNCT
ejpam-4745	234	42	vpides	vpide	VERB
ejpam-4745	234	43	)	)	PUNCT
ejpam-4745	234	44	first	first	ADJ
ejpam-4745	234	45	and	and	CCONJ
ejpam-4745	234	46	second	second	ADJ
ejpam-4745	234	47	order	order	NOUN
ejpam-4745	234	48	.	.	PUNCT
ejpam-4745	235	1	4.1	4.1	NUM
ejpam-4745	235	2	.	.	PUNCT
ejpam-4745	235	3	vies	vie	NOUN
ejpam-4745	235	4	of	of	ADP
ejpam-4745	235	5	two	two	NUM
ejpam-4745	235	6	variables	variable	NOUN
ejpam-4745	235	7	considering	consider	VERB
ejpam-4745	235	8	the	the	DET
ejpam-4745	235	9	following	follow	VERB
ejpam-4745	235	10	vie	vie	PROPN
ejpam-4745	235	11	φ	φ	PROPN
ejpam-4745	235	12	(	(	PUNCT
ejpam-4745	235	13	t	t	PROPN
ejpam-4745	235	14	,	,	PUNCT
ejpam-4745	235	15	u	u	NOUN
ejpam-4745	235	16	)	)	PUNCT
ejpam-4745	235	17	=	=	SYM
ejpam-4745	235	18	ω	ω	PROPN
ejpam-4745	235	19	(	(	PUNCT
ejpam-4745	235	20	t	t	PROPN
ejpam-4745	235	21	,	,	PUNCT
ejpam-4745	235	22	u	u	NOUN
ejpam-4745	235	23	)	)	PUNCT
ejpam-4745	235	24	+	+	CCONJ
ejpam-4745	235	25	a	a	DET
ejpam-4745	235	26	∫	∫	PROPN
ejpam-4745	235	27	t	t	NOUN
ejpam-4745	235	28	0	0	NUM
ejpam-4745	235	29	∫	∫	PROPN
ejpam-4745	235	30	u	u	PROPN
ejpam-4745	235	31	0	0	PROPN
ejpam-4745	235	32	φ	φ	PROPN
ejpam-4745	235	33	(	(	PUNCT
ejpam-4745	235	34	t−m	t−m	PROPN
ejpam-4745	235	35	,	,	PUNCT
ejpam-4745	235	36	u−	u−	PROPN
ejpam-4745	235	37	n)ψ	n)ψ	NOUN
ejpam-4745	235	38	(	(	PUNCT
ejpam-4745	235	39	m	m	PROPN
ejpam-4745	235	40	,	,	PUNCT
ejpam-4745	235	41	n	n	CCONJ
ejpam-4745	235	42	)	)	PUNCT
ejpam-4745	235	43	dm	dm	NOUN
ejpam-4745	235	44	dn	dn	PROPN
ejpam-4745	235	45	,	,	PUNCT
ejpam-4745	235	46	(	(	PUNCT
ejpam-4745	235	47	11	11	NUM
ejpam-4745	235	48	)	)	PUNCT
ejpam-4745	235	49	where	where	SCONJ
ejpam-4745	235	50	a	a	PRON
ejpam-4745	235	51	is	be	AUX
ejpam-4745	235	52	constant	constant	ADJ
ejpam-4745	235	53	,	,	PUNCT
ejpam-4745	235	54	ω	ω	PROPN
ejpam-4745	235	55	(	(	PUNCT
ejpam-4745	235	56	t	t	PROPN
ejpam-4745	235	57	,	,	PUNCT
ejpam-4745	235	58	u	u	NOUN
ejpam-4745	235	59	)	)	PUNCT
ejpam-4745	235	60	and	and	CCONJ
ejpam-4745	235	61	ψ	ψ	X
ejpam-4745	235	62	(	(	PUNCT
ejpam-4745	235	63	t	t	PROPN
ejpam-4745	235	64	,	,	PUNCT
ejpam-4745	235	65	u	u	NOUN
ejpam-4745	235	66	)	)	PUNCT
ejpam-4745	235	67	are	be	AUX
ejpam-4745	235	68	two	two	NUM
ejpam-4745	235	69	known	know	VERB
ejpam-4745	235	70	functions	function	NOUN
ejpam-4745	235	71	,	,	PUNCT
ejpam-4745	235	72	and	and	CCONJ
ejpam-4745	235	73	φ	φ	PROPN
ejpam-4745	235	74	(	(	PUNCT
ejpam-4745	235	75	t	t	PROPN
ejpam-4745	235	76	,	,	PUNCT
ejpam-4745	235	77	u	u	NOUN
ejpam-4745	235	78	)	)	PUNCT
ejpam-4745	235	79	is	be	AUX
ejpam-4745	235	80	an	an	DET
ejpam-4745	235	81	unknown	unknown	ADJ
ejpam-4745	235	82	function	function	NOUN
ejpam-4745	235	83	.	.	PUNCT
ejpam-4745	236	1	running	run	VERB
ejpam-4745	236	2	dara	dara	PROPN
ejpam-4745	236	3	-	-	PUNCT
ejpam-4745	236	4	st	st	PROPN
ejpam-4745	236	5	on	on	ADP
ejpam-4745	236	6	equation	equation	NOUN
ejpam-4745	236	7	(	(	PUNCT
ejpam-4745	236	8	1	1	X
ejpam-4745	236	9	)	)	PUNCT
ejpam-4745	236	10	ltgu	ltgu	NOUN
ejpam-4745	237	1	[	[	X
ejpam-4745	237	2	φ	φ	X
ejpam-4745	237	3	(	(	PUNCT
ejpam-4745	237	4	t	t	PROPN
ejpam-4745	237	5	,	,	PUNCT
ejpam-4745	237	6	u	u	NOUN
ejpam-4745	237	7	)	)	PUNCT
ejpam-4745	237	8	]	]	PUNCT
ejpam-4745	237	9	=	=	SYM
ejpam-4745	237	10	ltgu	ltgu	PROPN
ejpam-4745	238	1	[	[	X
ejpam-4745	238	2	ω	ω	X
ejpam-4745	238	3	(	(	PUNCT
ejpam-4745	238	4	t	t	PROPN
ejpam-4745	238	5	,	,	PUNCT
ejpam-4745	238	6	u	u	NOUN
ejpam-4745	238	7	)	)	PUNCT
ejpam-4745	238	8	]	]	PUNCT
ejpam-4745	239	1	+	+	CCONJ
ejpam-4745	239	2	ltgu	ltgu	NOUN
ejpam-4745	239	3	[	[	PUNCT
ejpam-4745	239	4	a	a	DET
ejpam-4745	239	5	∫	∫	PROPN
ejpam-4745	239	6	t	t	PROPN
ejpam-4745	239	7	0	0	NUM
ejpam-4745	239	8	∫	∫	PROPN
ejpam-4745	239	9	u	u	PROPN
ejpam-4745	239	10	0	0	PROPN
ejpam-4745	239	11	φ	φ	PROPN
ejpam-4745	239	12	(	(	PUNCT
ejpam-4745	239	13	t−m	t−m	PROPN
ejpam-4745	239	14	,	,	PUNCT
ejpam-4745	239	15	u−	u−	PROPN
ejpam-4745	239	16	n)ψ	n)ψ	NOUN
ejpam-4745	239	17	(	(	PUNCT
ejpam-4745	239	18	m	m	PROPN
ejpam-4745	239	19	,	,	PUNCT
ejpam-4745	239	20	n	n	CCONJ
ejpam-4745	239	21	)	)	PUNCT
ejpam-4745	239	22	dm	dm	AUX
ejpam-4745	239	23	dn	dn	VERB
ejpam-4745	239	24	]	]	PUNCT
ejpam-4745	239	25	.	.	PUNCT
ejpam-4745	240	1	(	(	PUNCT
ejpam-4745	240	2	12	12	NUM
ejpam-4745	240	3	)	)	PUNCT
ejpam-4745	240	4	according	accord	VERB
ejpam-4745	240	5	to	to	ADP
ejpam-4745	240	6	theorem	theorem	NOUN
ejpam-4745	240	7	5	5	NUM
ejpam-4745	240	8	and	and	CCONJ
ejpam-4745	240	9	the	the	DET
ejpam-4745	240	10	linearity	linearity	NOUN
ejpam-4745	240	11	property	property	NOUN
ejpam-4745	240	12	(	(	PUNCT
ejpam-4745	240	13	6	6	NUM
ejpam-4745	240	14	)	)	PUNCT
ejpam-4745	240	15	,	,	PUNCT
ejpam-4745	240	16	equation	equation	NOUN
ejpam-4745	240	17	(	(	PUNCT
ejpam-4745	240	18	12	12	NUM
ejpam-4745	240	19	)	)	PUNCT
ejpam-4745	240	20	can	can	AUX
ejpam-4745	240	21	be	be	AUX
ejpam-4745	240	22	written	write	VERB
ejpam-4745	240	23	φ	φ	PROPN
ejpam-4745	240	24	(	(	PUNCT
ejpam-4745	240	25	s	s	PROPN
ejpam-4745	240	26	,	,	PUNCT
ejpam-4745	240	27	v	v	NOUN
ejpam-4745	240	28	)	)	PUNCT
ejpam-4745	241	1	=	=	SYM
ejpam-4745	241	2	ω	ω	PROPN
ejpam-4745	241	3	(	(	PUNCT
ejpam-4745	241	4	s	s	PROPN
ejpam-4745	241	5	,	,	PUNCT
ejpam-4745	241	6	v	v	NOUN
ejpam-4745	241	7	)	)	PUNCT
ejpam-4745	241	8	+	+	CCONJ
ejpam-4745	241	9	a	a	DET
ejpam-4745	241	10	1	1	NUM
ejpam-4745	241	11	v	v	NOUN
ejpam-4745	241	12	φ	φ	PROPN
ejpam-4745	241	13	(	(	PUNCT
ejpam-4745	241	14	s	s	PROPN
ejpam-4745	241	15	,	,	PUNCT
ejpam-4745	241	16	v)ψ	v)ψ	X
ejpam-4745	241	17	(	(	PUNCT
ejpam-4745	241	18	s	s	X
ejpam-4745	241	19	,	,	PUNCT
ejpam-4745	241	20	v	v	NOUN
ejpam-4745	241	21	)	)	PUNCT
ejpam-4745	241	22	,	,	PUNCT
ejpam-4745	241	23	(	(	PUNCT
ejpam-4745	241	24	13	13	NUM
ejpam-4745	241	25	)	)	PUNCT
ejpam-4745	241	26	where	where	SCONJ
ejpam-4745	241	27	φ	φ	PROPN
ejpam-4745	241	28	(	(	PUNCT
ejpam-4745	241	29	s	s	PROPN
ejpam-4745	241	30	,	,	PUNCT
ejpam-4745	241	31	v	v	NOUN
ejpam-4745	241	32	)	)	PUNCT
ejpam-4745	241	33	=	=	SYM
ejpam-4745	242	1	ltgu	ltgu	NOUN
ejpam-4745	243	1	[	[	X
ejpam-4745	243	2	φ	φ	X
ejpam-4745	243	3	(	(	PUNCT
ejpam-4745	243	4	t	t	PROPN
ejpam-4745	243	5	,	,	PUNCT
ejpam-4745	243	6	u	u	NOUN
ejpam-4745	243	7	)	)	PUNCT
ejpam-4745	243	8	]	]	PUNCT
ejpam-4745	243	9	,	,	PUNCT
ejpam-4745	243	10	ω	ω	PROPN
ejpam-4745	243	11	(	(	PUNCT
ejpam-4745	243	12	s	s	PROPN
ejpam-4745	243	13	,	,	PUNCT
ejpam-4745	243	14	v	v	NOUN
ejpam-4745	243	15	)	)	PUNCT
ejpam-4745	243	16	=	=	SYM
ejpam-4745	243	17	ltgu	ltgu	NOUN
ejpam-4745	244	1	[	[	X
ejpam-4745	244	2	ω	ω	X
ejpam-4745	244	3	(	(	PUNCT
ejpam-4745	244	4	t	t	PROPN
ejpam-4745	244	5	,	,	PUNCT
ejpam-4745	244	6	u	u	NOUN
ejpam-4745	244	7	)	)	PUNCT
ejpam-4745	244	8	]	]	PUNCT
ejpam-4745	244	9	and	and	CCONJ
ejpam-4745	244	10	ψ	ψ	X
ejpam-4745	244	11	(	(	PUNCT
ejpam-4745	244	12	s	s	PROPN
ejpam-4745	244	13	,	,	PUNCT
ejpam-4745	244	14	v	v	NOUN
ejpam-4745	244	15	)	)	PUNCT
ejpam-4745	244	16	=	=	SYM
ejpam-4745	244	17	ltgu	ltgu	VERB
ejpam-4745	245	1	[	[	X
ejpam-4745	245	2	ψ	ψ	X
ejpam-4745	245	3	(	(	PUNCT
ejpam-4745	245	4	x	x	NOUN
ejpam-4745	245	5	,	,	PUNCT
ejpam-4745	245	6	u	u	NOUN
ejpam-4745	245	7	)	)	PUNCT
ejpam-4745	245	8	]	]	PUNCT
ejpam-4745	245	9	.	.	PUNCT
ejpam-4745	246	1	consequently	consequently	ADV
ejpam-4745	246	2	,	,	PUNCT
ejpam-4745	246	3	φ	φ	PROPN
ejpam-4745	246	4	(	(	PUNCT
ejpam-4745	246	5	s	s	PROPN
ejpam-4745	246	6	,	,	PUNCT
ejpam-4745	246	7	v	v	NOUN
ejpam-4745	246	8	)	)	PUNCT
ejpam-4745	246	9	=	=	SYM
ejpam-4745	246	10	v	v	NUM
ejpam-4745	246	11	ω	ω	PROPN
ejpam-4745	246	12	(	(	PUNCT
ejpam-4745	246	13	s	s	PROPN
ejpam-4745	246	14	,	,	PUNCT
ejpam-4745	246	15	v	v	NOUN
ejpam-4745	246	16	)	)	PUNCT
ejpam-4745	246	17	v	v	ADP
ejpam-4745	246	18	−	−	PROPN
ejpam-4745	246	19	a	a	DET
ejpam-4745	246	20	ψ(s	ψ(s	PROPN
ejpam-4745	246	21	,	,	PUNCT
ejpam-4745	246	22	v	v	NOUN
ejpam-4745	246	23	)	)	PUNCT
ejpam-4745	246	24	.	.	PUNCT
ejpam-4745	247	1	(	(	PUNCT
ejpam-4745	247	2	14	14	NUM
ejpam-4745	247	3	)	)	PUNCT
ejpam-4745	247	4	using	use	VERB
ejpam-4745	247	5	the	the	DET
ejpam-4745	247	6	inverse	inverse	NOUN
ejpam-4745	247	7	transform	transform	NOUN
ejpam-4745	247	8	l−1	l−1	PROPN
ejpam-4745	247	9	t	t	NOUN
ejpam-4745	247	10	g−1	g−1	PROPN
ejpam-4745	247	11	u	u	PROPN
ejpam-4745	247	12	,	,	PUNCT
ejpam-4745	247	13	we	we	PRON
ejpam-4745	247	14	get	get	VERB
ejpam-4745	247	15	the	the	DET
ejpam-4745	247	16	exact	exact	ADJ
ejpam-4745	247	17	solution	solution	NOUN
ejpam-4745	247	18	of	of	ADP
ejpam-4745	247	19	(	(	PUNCT
ejpam-4745	247	20	11	11	NUM
ejpam-4745	247	21	)	)	PUNCT
ejpam-4745	247	22	φ	φ	PROPN
ejpam-4745	247	23	(	(	PUNCT
ejpam-4745	247	24	t	t	PROPN
ejpam-4745	247	25	,	,	PUNCT
ejpam-4745	247	26	u	u	NOUN
ejpam-4745	247	27	)	)	PUNCT
ejpam-4745	247	28	=	=	PUNCT
ejpam-4745	248	1	l−1	l−1	PROPN
ejpam-4745	248	2	t	t	NOUN
ejpam-4745	248	3	g−1	g−1	PROPN
ejpam-4745	248	4	u	u	PROPN
ejpam-4745	248	5	[	[	PUNCT
ejpam-4745	248	6	v	v	NOUN
ejpam-4745	248	7	ω	ω	PROPN
ejpam-4745	248	8	(	(	PUNCT
ejpam-4745	248	9	s	s	PROPN
ejpam-4745	248	10	,	,	PUNCT
ejpam-4745	248	11	v	v	NOUN
ejpam-4745	248	12	)	)	PUNCT
ejpam-4745	248	13	v	v	ADP
ejpam-4745	248	14	−	−	PROPN
ejpam-4745	248	15	a	a	DET
ejpam-4745	248	16	φ	φ	PROPN
ejpam-4745	248	17	(	(	PUNCT
ejpam-4745	248	18	s	s	PROPN
ejpam-4745	248	19	,	,	PUNCT
ejpam-4745	248	20	v	v	NOUN
ejpam-4745	248	21	)	)	PUNCT
ejpam-4745	248	22	]	]	PUNCT
ejpam-4745	248	23	.	.	PUNCT
ejpam-4745	249	1	(	(	PUNCT
ejpam-4745	249	2	15	15	NUM
ejpam-4745	249	3	)	)	PUNCT
ejpam-4745	249	4	now	now	ADV
ejpam-4745	249	5	,	,	PUNCT
ejpam-4745	249	6	we	we	PRON
ejpam-4745	249	7	give	give	VERB
ejpam-4745	249	8	three	three	NUM
ejpam-4745	249	9	illustrative	illustrative	ADJ
ejpam-4745	249	10	problems	problem	NOUN
ejpam-4745	249	11	to	to	ADP
ejpam-4745	249	12	above	above	ADP
ejpam-4745	249	13	technique	technique	NOUN
ejpam-4745	249	14	.	.	PUNCT
ejpam-4745	250	1	a.	a.	NOUN
ejpam-4745	250	2	qazza	qazza	PROPN
ejpam-4745	250	3	/	/	SYM
ejpam-4745	250	4	eur	eur	PROPN
ejpam-4745	250	5	.	.	PUNCT
ejpam-4745	251	1	j.	j.	PROPN
ejpam-4745	251	2	pure	pure	PROPN
ejpam-4745	251	3	appl	appl	PROPN
ejpam-4745	251	4	.	.	PROPN
ejpam-4745	251	5	math	math	PROPN
ejpam-4745	251	6	,	,	PUNCT
ejpam-4745	251	7	16	16	NUM
ejpam-4745	251	8	(	(	PUNCT
ejpam-4745	251	9	2	2	NUM
ejpam-4745	251	10	)	)	PUNCT
ejpam-4745	251	11	(	(	PUNCT
ejpam-4745	251	12	2023	2023	NUM
ejpam-4745	251	13	)	)	PUNCT
ejpam-4745	251	14	,	,	PUNCT
ejpam-4745	251	15	919	919	NUM
ejpam-4745	251	16	-	-	SYM
ejpam-4745	251	17	933	933	NUM
ejpam-4745	251	18	928	928	NUM
ejpam-4745	251	19	problem	problem	NOUN
ejpam-4745	251	20	1	1	NUM
ejpam-4745	251	21	.	.	PUNCT
ejpam-4745	251	22	consider	consider	VERB
ejpam-4745	251	23	the	the	DET
ejpam-4745	251	24	following	follow	VERB
ejpam-4745	251	25	vie	vie	PROPN
ejpam-4745	251	26	φ	φ	PROPN
ejpam-4745	251	27	(	(	PUNCT
ejpam-4745	251	28	t	t	PROPN
ejpam-4745	251	29	,	,	PUNCT
ejpam-4745	251	30	u	u	NOUN
ejpam-4745	251	31	)	)	PUNCT
ejpam-4745	251	32	=	=	SYM
ejpam-4745	251	33	b−	b−	PROPN
ejpam-4745	251	34	a	a	DET
ejpam-4745	251	35	∫	∫	PROPN
ejpam-4745	251	36	t	t	PROPN
ejpam-4745	251	37	0	0	NUM
ejpam-4745	252	1	∫	∫	PROPN
ejpam-4745	252	2	u	u	PROPN
ejpam-4745	252	3	0	0	PROPN
ejpam-4745	252	4	φ	φ	PROPN
ejpam-4745	252	5	(	(	PUNCT
ejpam-4745	252	6	m	m	PROPN
ejpam-4745	252	7	,	,	PUNCT
ejpam-4745	252	8	n	n	CCONJ
ejpam-4745	252	9	)	)	PUNCT
ejpam-4745	252	10	dm	dm	NOUN
ejpam-4745	252	11	dn	dn	PROPN
ejpam-4745	252	12	,	,	PUNCT
ejpam-4745	252	13	(	(	PUNCT
ejpam-4745	252	14	16	16	NUM
ejpam-4745	252	15	)	)	PUNCT
ejpam-4745	252	16	where	where	SCONJ
ejpam-4745	252	17	a	a	PRON
ejpam-4745	252	18	and	and	CCONJ
ejpam-4745	252	19	b	b	NOUN
ejpam-4745	252	20	are	be	AUX
ejpam-4745	252	21	constant	constant	ADJ
ejpam-4745	252	22	.	.	PUNCT
ejpam-4745	252	23	solution	solution	NOUN
ejpam-4745	252	24	.	.	PUNCT
ejpam-4745	253	1	by	by	ADP
ejpam-4745	253	2	implementing	implement	VERB
ejpam-4745	253	3	dl	dl	PROPN
ejpam-4745	253	4	-	-	PUNCT
ejpam-4745	253	5	ara	ara	PROPN
ejpam-4745	253	6	in	in	ADP
ejpam-4745	253	7	equations	equation	NOUN
ejpam-4745	253	8	(	(	PUNCT
ejpam-4745	253	9	16	16	NUM
ejpam-4745	253	10	)	)	PUNCT
ejpam-4745	253	11	and	and	CCONJ
ejpam-4745	253	12	using	use	VERB
ejpam-4745	253	13	the	the	DET
ejpam-4745	253	14	linearity	linearity	NOUN
ejpam-4745	253	15	property	property	NOUN
ejpam-4745	253	16	and	and	CCONJ
ejpam-4745	253	17	convolution	convolution	NOUN
ejpam-4745	253	18	theorem	theorem	VERB
ejpam-4745	253	19	,	,	PUNCT
ejpam-4745	253	20	we	we	PRON
ejpam-4745	253	21	get	get	VERB
ejpam-4745	253	22	φ	φ	PROPN
ejpam-4745	253	23	(	(	PUNCT
ejpam-4745	253	24	s	s	PROPN
ejpam-4745	253	25	,	,	PUNCT
ejpam-4745	253	26	v	v	NOUN
ejpam-4745	253	27	)	)	PUNCT
ejpam-4745	253	28	=	=	SYM
ejpam-4745	254	1	b	b	PROPN
ejpam-4745	254	2	s	s	PART
ejpam-4745	254	3	−	−	NOUN
ejpam-4745	254	4	a	a	DET
ejpam-4745	254	5	1	1	NUM
ejpam-4745	254	6	vs	vs	ADP
ejpam-4745	254	7	φ	φ	PROPN
ejpam-4745	254	8	(	(	PUNCT
ejpam-4745	254	9	s	s	PROPN
ejpam-4745	254	10	,	,	PUNCT
ejpam-4745	254	11	v	v	NOUN
ejpam-4745	254	12	)	)	PUNCT
ejpam-4745	254	13	.	.	PUNCT
ejpam-4745	255	1	(	(	PUNCT
ejpam-4745	255	2	17	17	NUM
ejpam-4745	255	3	)	)	PUNCT
ejpam-4745	255	4	as	as	ADP
ejpam-4745	255	5	a	a	DET
ejpam-4745	255	6	result	result	NOUN
ejpam-4745	255	7	,	,	PUNCT
ejpam-4745	255	8	φ	φ	PROPN
ejpam-4745	255	9	(	(	PUNCT
ejpam-4745	255	10	s	s	PROPN
ejpam-4745	255	11	,	,	PUNCT
ejpam-4745	255	12	v	v	NOUN
ejpam-4745	255	13	)	)	PUNCT
ejpam-4745	255	14	=	=	SYM
ejpam-4745	256	1	b	b	PROPN
ejpam-4745	256	2	v	v	ADP
ejpam-4745	256	3	sv	sv	NOUN
ejpam-4745	256	4	+	+	X
ejpam-4745	256	5	a	a	PRON
ejpam-4745	256	6	.	.	PUNCT
ejpam-4745	257	1	(	(	PUNCT
ejpam-4745	257	2	18	18	NUM
ejpam-4745	257	3	)	)	PUNCT
ejpam-4745	257	4	using	use	VERB
ejpam-4745	257	5	the	the	DET
ejpam-4745	257	6	inverse	inverse	NOUN
ejpam-4745	257	7	transform	transform	NOUN
ejpam-4745	257	8	l−1	l−1	PROPN
ejpam-4745	257	9	t	t	NOUN
ejpam-4745	257	10	g−1	g−1	PROPN
ejpam-4745	257	11	u	u	PROPN
ejpam-4745	257	12	,	,	PUNCT
ejpam-4745	257	13	we	we	PRON
ejpam-4745	257	14	get	get	VERB
ejpam-4745	257	15	the	the	DET
ejpam-4745	257	16	exact	exact	ADJ
ejpam-4745	257	17	solution	solution	NOUN
ejpam-4745	257	18	of	of	ADP
ejpam-4745	257	19	(	(	PUNCT
ejpam-4745	257	20	18	18	NUM
ejpam-4745	257	21	)	)	PUNCT
ejpam-4745	257	22	φ	φ	PROPN
ejpam-4745	257	23	(	(	PUNCT
ejpam-4745	257	24	t	t	PROPN
ejpam-4745	257	25	,	,	PUNCT
ejpam-4745	257	26	u	u	NOUN
ejpam-4745	257	27	)	)	PUNCT
ejpam-4745	257	28	=	=	PUNCT
ejpam-4745	257	29	l−1	l−1	PROPN
ejpam-4745	257	30	t	t	NOUN
ejpam-4745	257	31	g−1	g−1	PROPN
ejpam-4745	257	32	u	u	PROPN
ejpam-4745	257	33	[	[	PUNCT
ejpam-4745	257	34	b	b	PROPN
ejpam-4745	257	35	v	v	ADP
ejpam-4745	257	36	sv	sv	NOUN
ejpam-4745	258	1	+	+	CCONJ
ejpam-4745	258	2	a	a	PRON
ejpam-4745	258	3	]	]	X
ejpam-4745	258	4	=	=	SYM
ejpam-4745	258	5	b	b	SYM
ejpam-4745	258	6	j0	j0	PROPN
ejpam-4745	258	7	(	(	PUNCT
ejpam-4745	258	8	2	2	NUM
ejpam-4745	258	9	√	√	PROPN
ejpam-4745	258	10	atu	atu	PROPN
ejpam-4745	258	11	)	)	PUNCT
ejpam-4745	258	12	.	.	PUNCT
ejpam-4745	259	1	problem	problem	NOUN
ejpam-4745	259	2	2	2	X
ejpam-4745	259	3	.	.	PUNCT
ejpam-4745	259	4	consider	consider	VERB
ejpam-4745	259	5	the	the	DET
ejpam-4745	259	6	following	follow	VERB
ejpam-4745	259	7	vie	vie	PROPN
ejpam-4745	259	8	a2u	a2u	PROPN
ejpam-4745	260	1	=	=	X
ejpam-4745	260	2	∫	∫	PROPN
ejpam-4745	260	3	t	t	PROPN
ejpam-4745	260	4	0	0	NUM
ejpam-4745	260	5	∫	∫	PROPN
ejpam-4745	260	6	u	u	PROPN
ejpam-4745	260	7	0	0	PROPN
ejpam-4745	260	8	φ	φ	PROPN
ejpam-4745	260	9	(	(	PUNCT
ejpam-4745	260	10	t−m	t−m	PROPN
ejpam-4745	260	11	,	,	PUNCT
ejpam-4745	260	12	u−	u−	PROPN
ejpam-4745	260	13	n)φ	n)φ	ADJ
ejpam-4745	260	14	(	(	PUNCT
ejpam-4745	260	15	m	m	PROPN
ejpam-4745	260	16	,	,	PUNCT
ejpam-4745	260	17	n	n	CCONJ
ejpam-4745	260	18	)	)	PUNCT
ejpam-4745	260	19	dm	dm	NOUN
ejpam-4745	260	20	dn	dn	PROPN
ejpam-4745	260	21	,	,	PUNCT
ejpam-4745	260	22	(	(	PUNCT
ejpam-4745	260	23	19	19	NUM
ejpam-4745	260	24	)	)	PUNCT
ejpam-4745	260	25	where	where	SCONJ
ejpam-4745	260	26	a	a	PRON
ejpam-4745	260	27	is	be	AUX
ejpam-4745	260	28	a	a	DET
ejpam-4745	260	29	constant	constant	ADJ
ejpam-4745	260	30	.	.	PUNCT
ejpam-4745	260	31	solution	solution	NOUN
ejpam-4745	260	32	.	.	PUNCT
ejpam-4745	261	1	by	by	ADP
ejpam-4745	261	2	implementing	implement	VERB
ejpam-4745	261	3	dl	dl	PROPN
ejpam-4745	261	4	-	-	PUNCT
ejpam-4745	261	5	ara	ara	PROPN
ejpam-4745	261	6	in	in	ADP
ejpam-4745	261	7	equations	equation	NOUN
ejpam-4745	261	8	(	(	PUNCT
ejpam-4745	261	9	19	19	NUM
ejpam-4745	261	10	)	)	PUNCT
ejpam-4745	261	11	and	and	CCONJ
ejpam-4745	261	12	using	use	VERB
ejpam-4745	261	13	theorem	theorem	NOUN
ejpam-4745	261	14	4	4	NUM
ejpam-4745	261	15	on	on	ADP
ejpam-4745	261	16	equation	equation	NOUN
ejpam-4745	261	17	(	(	PUNCT
ejpam-4745	261	18	19	19	NUM
ejpam-4745	261	19	)	)	PUNCT
ejpam-4745	261	20	,	,	PUNCT
ejpam-4745	261	21	we	we	PRON
ejpam-4745	261	22	get	get	VERB
ejpam-4745	261	23	a2	a2	PROPN
ejpam-4745	261	24	sv	sv	PUNCT
ejpam-4745	262	1	=	=	SYM
ejpam-4745	262	2	1	1	NUM
ejpam-4745	262	3	v	v	ADP
ejpam-4745	262	4	φ2(s	φ2(s	PROPN
ejpam-4745	262	5	,	,	PUNCT
ejpam-4745	262	6	v	v	NOUN
ejpam-4745	262	7	)	)	PUNCT
ejpam-4745	262	8	.	.	PUNCT
ejpam-4745	263	1	(	(	PUNCT
ejpam-4745	263	2	20	20	NUM
ejpam-4745	263	3	)	)	PUNCT
ejpam-4745	263	4	thus	thus	ADV
ejpam-4745	263	5	,	,	PUNCT
ejpam-4745	263	6	φ	φ	PROPN
ejpam-4745	263	7	(	(	PUNCT
ejpam-4745	263	8	s	s	PROPN
ejpam-4745	263	9	,	,	PUNCT
ejpam-4745	263	10	v	v	NOUN
ejpam-4745	263	11	)	)	PUNCT
ejpam-4745	263	12	=	=	PUNCT
ejpam-4745	263	13	a√	a√	PROPN
ejpam-4745	263	14	s	s	PROPN
ejpam-4745	263	15	.	.	PUNCT
ejpam-4745	264	1	(	(	PUNCT
ejpam-4745	264	2	21	21	NUM
ejpam-4745	264	3	)	)	PUNCT
ejpam-4745	264	4	using	use	VERB
ejpam-4745	264	5	the	the	DET
ejpam-4745	264	6	inverse	inverse	NOUN
ejpam-4745	264	7	transform	transform	NOUN
ejpam-4745	264	8	l−1	l−1	PROPN
ejpam-4745	264	9	t	t	NOUN
ejpam-4745	264	10	g−1	g−1	PROPN
ejpam-4745	264	11	u	u	PROPN
ejpam-4745	264	12	,	,	PUNCT
ejpam-4745	264	13	we	we	PRON
ejpam-4745	264	14	obtain	obtain	VERB
ejpam-4745	264	15	the	the	DET
ejpam-4745	264	16	solution	solution	NOUN
ejpam-4745	264	17	exact	exact	ADJ
ejpam-4745	264	18	equation	equation	NOUN
ejpam-4745	264	19	of	of	ADP
ejpam-4745	264	20	(	(	PUNCT
ejpam-4745	264	21	19	19	NUM
ejpam-4745	264	22	)	)	PUNCT
ejpam-4745	264	23	as	as	ADP
ejpam-4745	264	24	following	follow	VERB
ejpam-4745	264	25	φ	φ	PROPN
ejpam-4745	264	26	(	(	PUNCT
ejpam-4745	264	27	t	t	PROPN
ejpam-4745	264	28	,	,	PUNCT
ejpam-4745	264	29	u	u	NOUN
ejpam-4745	264	30	)	)	PUNCT
ejpam-4745	264	31	=	=	PUNCT
ejpam-4745	264	32	l−1	l−1	PROPN
ejpam-4745	264	33	t	t	NOUN
ejpam-4745	264	34	g−1	g−1	PROPN
ejpam-4745	264	35	u	u	PROPN
ejpam-4745	264	36	[	[	PUNCT
ejpam-4745	264	37	a√	a√	PROPN
ejpam-4745	264	38	s	s	X
ejpam-4745	264	39	]	]	X
ejpam-4745	264	40	=	=	SYM
ejpam-4745	264	41	a√	a√	PROPN
ejpam-4745	264	42	π	π	PROPN
ejpam-4745	264	43	1√	1√	PROPN
ejpam-4745	264	44	t	t	PROPN
ejpam-4745	264	45	.	.	PUNCT
ejpam-4745	265	1	(	(	PUNCT
ejpam-4745	265	2	22	22	NUM
ejpam-4745	265	3	)	)	PUNCT
ejpam-4745	265	4	problem	problem	NOUN
ejpam-4745	265	5	3	3	NUM
ejpam-4745	265	6	.	.	PUNCT
ejpam-4745	265	7	consider	consider	VERB
ejpam-4745	265	8	the	the	DET
ejpam-4745	265	9	following	follow	VERB
ejpam-4745	265	10	vie∫	vie∫	PROPN
ejpam-4745	265	11	t	t	PROPN
ejpam-4745	265	12	0	0	NUM
ejpam-4745	265	13	∫	∫	PROPN
ejpam-4745	265	14	u	u	NOUN
ejpam-4745	265	15	0	0	NUM
ejpam-4745	265	16	em−nφ	em−nφ	X
ejpam-4745	265	17	(	(	PUNCT
ejpam-4745	265	18	t−m	t−m	PROPN
ejpam-4745	265	19	,	,	PUNCT
ejpam-4745	265	20	u−	u−	PROPN
ejpam-4745	265	21	n)dm	n)dm	PROPN
ejpam-4745	265	22	dn	dn	NOUN
ejpam-4745	265	23	=	=	PUNCT
ejpam-4745	265	24	tet−u	tet−u	PROPN
ejpam-4745	265	25	−	−	PROPN
ejpam-4745	265	26	tet	tet	NOUN
ejpam-4745	265	27	.	.	PUNCT
ejpam-4745	266	1	(	(	PUNCT
ejpam-4745	266	2	23	23	NUM
ejpam-4745	266	3	)	)	PUNCT
ejpam-4745	266	4	a.	a.	NOUN
ejpam-4745	266	5	qazza	qazza	PROPN
ejpam-4745	266	6	/	/	SYM
ejpam-4745	266	7	eur	eur	PROPN
ejpam-4745	266	8	.	.	PUNCT
ejpam-4745	267	1	j.	j.	PROPN
ejpam-4745	267	2	pure	pure	PROPN
ejpam-4745	267	3	appl	appl	PROPN
ejpam-4745	267	4	.	.	PROPN
ejpam-4745	267	5	math	math	PROPN
ejpam-4745	267	6	,	,	PUNCT
ejpam-4745	267	7	16	16	NUM
ejpam-4745	267	8	(	(	PUNCT
ejpam-4745	267	9	2	2	NUM
ejpam-4745	267	10	)	)	PUNCT
ejpam-4745	267	11	(	(	PUNCT
ejpam-4745	267	12	2023	2023	NUM
ejpam-4745	267	13	)	)	PUNCT
ejpam-4745	267	14	,	,	PUNCT
ejpam-4745	267	15	919	919	NUM
ejpam-4745	267	16	-	-	SYM
ejpam-4745	267	17	933	933	NUM
ejpam-4745	267	18	929	929	NUM
ejpam-4745	267	19	solution	solution	NOUN
ejpam-4745	267	20	.	.	PUNCT
ejpam-4745	268	1	by	by	ADP
ejpam-4745	268	2	implementing	implement	VERB
ejpam-4745	268	3	dl	dl	PROPN
ejpam-4745	268	4	-	-	PUNCT
ejpam-4745	268	5	ara	ara	PROPN
ejpam-4745	268	6	in	in	ADP
ejpam-4745	268	7	equations	equation	NOUN
ejpam-4745	268	8	(	(	PUNCT
ejpam-4745	268	9	23	23	NUM
ejpam-4745	268	10	)	)	PUNCT
ejpam-4745	268	11	and	and	CCONJ
ejpam-4745	268	12	using	use	VERB
ejpam-4745	268	13	theorem	theorem	NOUN
ejpam-4745	268	14	4	4	NUM
ejpam-4745	268	15	on	on	ADP
ejpam-4745	268	16	(	(	PUNCT
ejpam-4745	268	17	23	23	NUM
ejpam-4745	268	18	)	)	PUNCT
ejpam-4745	268	19	,	,	PUNCT
ejpam-4745	268	20	we	we	PRON
ejpam-4745	268	21	get	get	VERB
ejpam-4745	268	22	v	v	ADP
ejpam-4745	268	23	φ(s	φ(s	NOUN
ejpam-4745	268	24	,	,	PUNCT
ejpam-4745	268	25	v	v	NOUN
ejpam-4745	268	26	)	)	PUNCT
ejpam-4745	268	27	(	(	PUNCT
ejpam-4745	268	28	s−	s−	PROPN
ejpam-4745	268	29	1	1	NUM
ejpam-4745	268	30	)	)	PUNCT
ejpam-4745	268	31	(	(	PUNCT
ejpam-4745	268	32	1	1	NUM
ejpam-4745	268	33	+	+	NUM
ejpam-4745	268	34	v	v	NOUN
ejpam-4745	268	35	)	)	PUNCT
ejpam-4745	268	36	=	=	SYM
ejpam-4745	268	37	v	v	X
ejpam-4745	268	38	(	(	PUNCT
ejpam-4745	268	39	v	v	NOUN
ejpam-4745	268	40	+	+	NOUN
ejpam-4745	268	41	1	1	NUM
ejpam-4745	268	42	)	)	PUNCT
ejpam-4745	268	43	(	(	PUNCT
ejpam-4745	268	44	s−	s−	PROPN
ejpam-4745	268	45	1)2	1)2	NUM
ejpam-4745	268	46	−	−	NOUN
ejpam-4745	268	47	1	1	NUM
ejpam-4745	268	48	(	(	PUNCT
ejpam-4745	268	49	s−	s−	PROPN
ejpam-4745	268	50	1)2	1)2	NUM
ejpam-4745	268	51	.	.	PUNCT
ejpam-4745	269	1	(	(	PUNCT
ejpam-4745	269	2	24	24	NUM
ejpam-4745	269	3	)	)	PUNCT
ejpam-4745	269	4	thus	thus	ADV
ejpam-4745	269	5	,	,	PUNCT
ejpam-4745	269	6	φ(s	φ(s	NOUN
ejpam-4745	269	7	,	,	PUNCT
ejpam-4745	269	8	v	v	NOUN
ejpam-4745	269	9	)	)	PUNCT
ejpam-4745	269	10	=	=	SYM
ejpam-4745	269	11	−1	−1	NOUN
ejpam-4745	269	12	v	v	NOUN
ejpam-4745	269	13	(	(	PUNCT
ejpam-4745	269	14	s−	s−	PROPN
ejpam-4745	269	15	1	1	NUM
ejpam-4745	269	16	)	)	PUNCT
ejpam-4745	269	17	.	.	PUNCT
ejpam-4745	270	1	(	(	PUNCT
ejpam-4745	270	2	25	25	NUM
ejpam-4745	270	3	)	)	PUNCT
ejpam-4745	270	4	taking	take	VERB
ejpam-4745	270	5	the	the	DET
ejpam-4745	270	6	inverse	inverse	NOUN
ejpam-4745	270	7	transform	transform	NOUN
ejpam-4745	270	8	l−1	l−1	PROPN
ejpam-4745	270	9	t	t	NOUN
ejpam-4745	270	10	g−1	g−1	PROPN
ejpam-4745	270	11	u	u	PROPN
ejpam-4745	270	12	,	,	PUNCT
ejpam-4745	270	13	we	we	PRON
ejpam-4745	270	14	have	have	VERB
ejpam-4745	270	15	the	the	DET
ejpam-4745	270	16	exact	exact	ADJ
ejpam-4745	270	17	solution	solution	NOUN
ejpam-4745	270	18	of	of	ADP
ejpam-4745	270	19	(	(	PUNCT
ejpam-4745	270	20	23	23	NUM
ejpam-4745	270	21	)	)	PUNCT
ejpam-4745	270	22	as	as	SCONJ
ejpam-4745	270	23	follows	follow	VERB
ejpam-4745	270	24	φ	φ	PROPN
ejpam-4745	270	25	(	(	PUNCT
ejpam-4745	270	26	t	t	PROPN
ejpam-4745	270	27	,	,	PUNCT
ejpam-4745	270	28	u	u	NOUN
ejpam-4745	270	29	)	)	PUNCT
ejpam-4745	270	30	=	=	PUNCT
ejpam-4745	270	31	l−1	l−1	PROPN
ejpam-4745	270	32	t	t	NOUN
ejpam-4745	270	33	g−1	g−1	PROPN
ejpam-4745	270	34	u	u	PROPN
ejpam-4745	270	35	[	[	PUNCT
ejpam-4745	270	36	−1	−1	NOUN
ejpam-4745	270	37	v	v	NOUN
ejpam-4745	270	38	(	(	PUNCT
ejpam-4745	270	39	s−	s−	PROPN
ejpam-4745	270	40	1	1	NUM
ejpam-4745	270	41	)	)	PUNCT
ejpam-4745	270	42	]	]	PUNCT
ejpam-4745	271	1	=	=	PUNCT
ejpam-4745	271	2	−u	−u	PROPN
ejpam-4745	271	3	et	et	NOUN
ejpam-4745	271	4	.	.	PUNCT
ejpam-4745	272	1	(	(	PUNCT
ejpam-4745	272	2	26	26	NUM
ejpam-4745	272	3	)	)	PUNCT
ejpam-4745	272	4	4.2	4.2	NUM
ejpam-4745	272	5	.	.	PUNCT
ejpam-4745	273	1	vpides	vpide	VERB
ejpam-4745	273	2	of	of	ADP
ejpam-4745	273	3	first	first	ADJ
ejpam-4745	273	4	order	order	NOUN
ejpam-4745	273	5	considering	consider	VERB
ejpam-4745	273	6	the	the	DET
ejpam-4745	273	7	following	follow	VERB
ejpam-4745	273	8	vpide	vpide	PROPN
ejpam-4745	273	9	∂φ	∂φ	PROPN
ejpam-4745	273	10	(	(	PUNCT
ejpam-4745	273	11	t	t	PROPN
ejpam-4745	273	12	,	,	PUNCT
ejpam-4745	273	13	u	u	NOUN
ejpam-4745	273	14	)	)	PUNCT
ejpam-4745	274	1	∂t	∂t	PROPN
ejpam-4745	275	1	+	+	CCONJ
ejpam-4745	275	2	∂φ	∂φ	PROPN
ejpam-4745	275	3	(	(	PUNCT
ejpam-4745	275	4	t	t	PROPN
ejpam-4745	275	5	,	,	PUNCT
ejpam-4745	275	6	u	u	NOUN
ejpam-4745	275	7	)	)	PUNCT
ejpam-4745	276	1	∂u	∂u	PROPN
ejpam-4745	276	2	=	=	SYM
ejpam-4745	276	3	ω	ω	PROPN
ejpam-4745	276	4	(	(	PUNCT
ejpam-4745	276	5	t	t	PROPN
ejpam-4745	276	6	,	,	PUNCT
ejpam-4745	276	7	u	u	NOUN
ejpam-4745	276	8	)	)	PUNCT
ejpam-4745	276	9	+	+	CCONJ
ejpam-4745	276	10	a	a	DET
ejpam-4745	276	11	∫	∫	PROPN
ejpam-4745	276	12	t	t	NOUN
ejpam-4745	276	13	0	0	NUM
ejpam-4745	276	14	∫	∫	PROPN
ejpam-4745	276	15	u	u	PROPN
ejpam-4745	276	16	0	0	PROPN
ejpam-4745	276	17	φ	φ	PROPN
ejpam-4745	276	18	(	(	PUNCT
ejpam-4745	276	19	t−m	t−m	PROPN
ejpam-4745	276	20	,	,	PUNCT
ejpam-4745	276	21	u−	u−	PROPN
ejpam-4745	276	22	n)ψ	n)ψ	NOUN
ejpam-4745	276	23	(	(	PUNCT
ejpam-4745	276	24	m	m	PROPN
ejpam-4745	276	25	,	,	PUNCT
ejpam-4745	276	26	n	n	CCONJ
ejpam-4745	276	27	)	)	PUNCT
ejpam-4745	276	28	dm	dm	NOUN
ejpam-4745	276	29	dn	dn	PROPN
ejpam-4745	276	30	,	,	PUNCT
ejpam-4745	276	31	(	(	PUNCT
ejpam-4745	276	32	27	27	NUM
ejpam-4745	276	33	)	)	PUNCT
ejpam-4745	276	34	with	with	ADP
ejpam-4745	276	35	the	the	DET
ejpam-4745	276	36	conditions	condition	NOUN
ejpam-4745	276	37	φ	φ	X
ejpam-4745	276	38	(	(	PUNCT
ejpam-4745	276	39	t	t	PROPN
ejpam-4745	276	40	,	,	PUNCT
ejpam-4745	276	41	0	0	NUM
ejpam-4745	276	42	)	)	PUNCT
ejpam-4745	276	43	=	=	SYM
ejpam-4745	277	1	f0	f0	PROPN
ejpam-4745	277	2	(	(	PUNCT
ejpam-4745	277	3	t	t	PROPN
ejpam-4745	277	4	)	)	PUNCT
ejpam-4745	277	5	,	,	PUNCT
ejpam-4745	277	6	φ	φ	X
ejpam-4745	277	7	(	(	PUNCT
ejpam-4745	277	8	0	0	NUM
ejpam-4745	277	9	,	,	PUNCT
ejpam-4745	277	10	u	u	NOUN
ejpam-4745	277	11	)	)	PUNCT
ejpam-4745	277	12	=	=	SYM
ejpam-4745	277	13	h0	h0	NOUN
ejpam-4745	277	14	(	(	PUNCT
ejpam-4745	277	15	u	u	NOUN
ejpam-4745	277	16	)	)	PUNCT
ejpam-4745	277	17	,	,	PUNCT
ejpam-4745	277	18	(	(	PUNCT
ejpam-4745	277	19	28	28	NUM
ejpam-4745	277	20	)	)	PUNCT
ejpam-4745	277	21	where	where	SCONJ
ejpam-4745	277	22	a	a	PRON
ejpam-4745	277	23	is	be	AUX
ejpam-4745	277	24	a	a	DET
ejpam-4745	277	25	constant	constant	ADJ
ejpam-4745	277	26	,	,	PUNCT
ejpam-4745	277	27	φ	φ	PROPN
ejpam-4745	277	28	(	(	PUNCT
ejpam-4745	277	29	t	t	PROPN
ejpam-4745	277	30	,	,	PUNCT
ejpam-4745	277	31	u	u	NOUN
ejpam-4745	277	32	)	)	PUNCT
ejpam-4745	277	33	is	be	AUX
ejpam-4745	277	34	an	an	DET
ejpam-4745	277	35	unknown	unknown	ADJ
ejpam-4745	277	36	function	function	NOUN
ejpam-4745	277	37	,	,	PUNCT
ejpam-4745	277	38	ω	ω	PROPN
ejpam-4745	277	39	(	(	PUNCT
ejpam-4745	277	40	t	t	PROPN
ejpam-4745	277	41	,	,	PUNCT
ejpam-4745	277	42	u	u	NOUN
ejpam-4745	277	43	)	)	PUNCT
ejpam-4745	277	44	and	and	CCONJ
ejpam-4745	277	45	ψ	ψ	X
ejpam-4745	277	46	(	(	PUNCT
ejpam-4745	277	47	t	t	PROPN
ejpam-4745	277	48	,	,	PUNCT
ejpam-4745	277	49	u	u	NOUN
ejpam-4745	277	50	)	)	PUNCT
ejpam-4745	277	51	are	be	AUX
ejpam-4745	277	52	known	know	VERB
ejpam-4745	277	53	functions	function	NOUN
ejpam-4745	277	54	.	.	PUNCT
ejpam-4745	278	1	implement	implement	VERB
ejpam-4745	278	2	dl	dl	PROPN
ejpam-4745	278	3	-	-	PUNCT
ejpam-4745	278	4	arat	arat	NOUN
ejpam-4745	278	5	on	on	ADP
ejpam-4745	278	6	equation	equation	NOUN
ejpam-4745	278	7	(	(	PUNCT
ejpam-4745	278	8	27	27	NUM
ejpam-4745	278	9	)	)	PUNCT
ejpam-4745	278	10	,	,	PUNCT
ejpam-4745	278	11	we	we	PRON
ejpam-4745	278	12	achieve	achieve	VERB
ejpam-4745	278	13	sφ	sφ	PROPN
ejpam-4745	278	14	(	(	PUNCT
ejpam-4745	278	15	s	s	PROPN
ejpam-4745	278	16	,	,	PUNCT
ejpam-4745	278	17	v)−	v)−	PROPN
ejpam-4745	278	18	gu	gu	NOUN
ejpam-4745	279	1	[	[	X
ejpam-4745	279	2	φ	φ	X
ejpam-4745	279	3	(	(	PUNCT
ejpam-4745	279	4	0	0	NUM
ejpam-4745	279	5	,	,	PUNCT
ejpam-4745	279	6	u	u	NOUN
ejpam-4745	279	7	)	)	PUNCT
ejpam-4745	279	8	]	]	PUNCT
ejpam-4745	280	1	+	+	CCONJ
ejpam-4745	280	2	sφ(s	sφ(s	NOUN
ejpam-4745	280	3	,	,	PUNCT
ejpam-4745	280	4	v)−	v)−	PROPN
ejpam-4745	280	5	slt	slt	X
ejpam-4745	280	6	[	[	X
ejpam-4745	280	7	φ	φ	X
ejpam-4745	280	8	(	(	PUNCT
ejpam-4745	280	9	t	t	PROPN
ejpam-4745	280	10	,	,	PUNCT
ejpam-4745	280	11	0	0	NUM
ejpam-4745	280	12	)	)	PUNCT
ejpam-4745	280	13	]	]	PUNCT
ejpam-4745	281	1	=	=	PUNCT
ejpam-4745	281	2	ω	ω	X
ejpam-4745	281	3	(	(	PUNCT
ejpam-4745	281	4	s	s	PROPN
ejpam-4745	281	5	,	,	PUNCT
ejpam-4745	281	6	v	v	NOUN
ejpam-4745	281	7	)	)	PUNCT
ejpam-4745	281	8	+	+	CCONJ
ejpam-4745	281	9	a	a	DET
ejpam-4745	281	10	1	1	NUM
ejpam-4745	281	11	v	v	NOUN
ejpam-4745	281	12	φ	φ	PROPN
ejpam-4745	281	13	(	(	PUNCT
ejpam-4745	281	14	s	s	PROPN
ejpam-4745	281	15	,	,	PUNCT
ejpam-4745	281	16	v)ψ	v)ψ	X
ejpam-4745	281	17	(	(	PUNCT
ejpam-4745	281	18	s	s	X
ejpam-4745	281	19	,	,	PUNCT
ejpam-4745	281	20	v	v	NOUN
ejpam-4745	281	21	)	)	PUNCT
ejpam-4745	281	22	.	.	PUNCT
ejpam-4745	282	1	substituting	substitute	VERB
ejpam-4745	282	2	the	the	DET
ejpam-4745	282	3	values	value	NOUN
ejpam-4745	282	4	of	of	ADP
ejpam-4745	282	5	the	the	DET
ejpam-4745	282	6	transformed	transform	VERB
ejpam-4745	282	7	condition	condition	NOUN
ejpam-4745	282	8	(	(	PUNCT
ejpam-4745	282	9	28	28	NUM
ejpam-4745	282	10	)	)	PUNCT
ejpam-4745	282	11	φ	φ	PROPN
ejpam-4745	282	12	(	(	PUNCT
ejpam-4745	282	13	s	s	PROPN
ejpam-4745	282	14	,	,	PUNCT
ejpam-4745	282	15	v	v	NOUN
ejpam-4745	282	16	)	)	PUNCT
ejpam-4745	282	17	=	=	SYM
ejpam-4745	282	18	vω	vω	INTJ
ejpam-4745	282	19	(	(	PUNCT
ejpam-4745	282	20	s	s	PROPN
ejpam-4745	282	21	,	,	PUNCT
ejpam-4745	282	22	v	v	NOUN
ejpam-4745	282	23	)	)	PUNCT
ejpam-4745	282	24	+	+	CCONJ
ejpam-4745	282	25	vh0(v	vh0(v	PROPN
ejpam-4745	282	26	)	)	PUNCT
ejpam-4745	282	27	+	+	NUM
ejpam-4745	282	28	v2f0(s	v2f0(s	X
ejpam-4745	282	29	)	)	PUNCT
ejpam-4745	282	30	sv	sv	NOUN
ejpam-4745	283	1	+	+	CCONJ
ejpam-4745	283	2	v2	v2	PROPN
ejpam-4745	283	3	−	−	PROPN
ejpam-4745	283	4	aψ(v	aψ(v	X
ejpam-4745	283	5	,	,	PUNCT
ejpam-4745	283	6	s	s	X
ejpam-4745	283	7	)	)	PUNCT
ejpam-4745	283	8	,	,	PUNCT
ejpam-4745	283	9	(	(	PUNCT
ejpam-4745	283	10	29	29	NUM
ejpam-4745	283	11	)	)	PUNCT
ejpam-4745	283	12	where	where	SCONJ
ejpam-4745	283	13	f0	f0	PROPN
ejpam-4745	283	14	(	(	PUNCT
ejpam-4745	283	15	s	s	X
ejpam-4745	283	16	)	)	PUNCT
ejpam-4745	283	17	=	=	SYM
ejpam-4745	283	18	lt	lt	PRON
ejpam-4745	284	1	[	[	X
ejpam-4745	284	2	ψ	ψ	X
ejpam-4745	284	3	(	(	PUNCT
ejpam-4745	284	4	t	t	PROPN
ejpam-4745	284	5	,	,	PUNCT
ejpam-4745	284	6	0	0	NUM
ejpam-4745	284	7	)	)	PUNCT
ejpam-4745	284	8	]	]	PUNCT
ejpam-4745	284	9	and	and	CCONJ
ejpam-4745	284	10	h0	h0	PROPN
ejpam-4745	284	11	(	(	PUNCT
ejpam-4745	284	12	v	v	NOUN
ejpam-4745	284	13	)	)	PUNCT
ejpam-4745	284	14	=	=	SYM
ejpam-4745	284	15	gu	gu	NOUN
ejpam-4745	285	1	[	[	X
ejpam-4745	285	2	ψ	ψ	X
ejpam-4745	285	3	(	(	PUNCT
ejpam-4745	285	4	0	0	NUM
ejpam-4745	285	5	,	,	PUNCT
ejpam-4745	285	6	u	u	NOUN
ejpam-4745	285	7	)	)	PUNCT
ejpam-4745	285	8	]	]	PUNCT
ejpam-4745	285	9	.	.	PUNCT
ejpam-4745	286	1	running	run	VERB
ejpam-4745	286	2	the	the	DET
ejpam-4745	286	3	inverse	inverse	NOUN
ejpam-4745	286	4	transform	transform	NOUN
ejpam-4745	286	5	l−1	l−1	PROPN
ejpam-4745	286	6	t	t	NOUN
ejpam-4745	286	7	g−1	g−1	PROPN
ejpam-4745	286	8	u	u	PROPN
ejpam-4745	286	9	,	,	PUNCT
ejpam-4745	286	10	we	we	PRON
ejpam-4745	286	11	get	get	VERB
ejpam-4745	286	12	the	the	DET
ejpam-4745	286	13	exact	exact	ADJ
ejpam-4745	286	14	solution	solution	NOUN
ejpam-4745	286	15	of	of	ADP
ejpam-4745	286	16	(	(	PUNCT
ejpam-4745	286	17	27	27	NUM
ejpam-4745	286	18	)	)	PUNCT
ejpam-4745	286	19	as	as	SCONJ
ejpam-4745	286	20	follows	follow	VERB
ejpam-4745	286	21	φ	φ	PROPN
ejpam-4745	286	22	(	(	PUNCT
ejpam-4745	286	23	t	t	PROPN
ejpam-4745	286	24	,	,	PUNCT
ejpam-4745	286	25	u	u	NOUN
ejpam-4745	286	26	)	)	PUNCT
ejpam-4745	286	27	=	=	PUNCT
ejpam-4745	286	28	l−1	l−1	PROPN
ejpam-4745	286	29	t	t	NOUN
ejpam-4745	286	30	g−1	g−1	PROPN
ejpam-4745	286	31	u	u	PROPN
ejpam-4745	286	32	[	[	PUNCT
ejpam-4745	286	33	vω	vω	INTJ
ejpam-4745	286	34	(	(	PUNCT
ejpam-4745	286	35	s	s	PROPN
ejpam-4745	286	36	,	,	PUNCT
ejpam-4745	286	37	v	v	NOUN
ejpam-4745	286	38	)	)	PUNCT
ejpam-4745	286	39	+	+	CCONJ
ejpam-4745	286	40	vh0(v	vh0(v	PROPN
ejpam-4745	286	41	)	)	PUNCT
ejpam-4745	287	1	+	+	NUM
ejpam-4745	288	1	v2f0(s	v2f0(s	X
ejpam-4745	288	2	)	)	PUNCT
ejpam-4745	288	3	sv	sv	NOUN
ejpam-4745	289	1	+	+	CCONJ
ejpam-4745	289	2	v2	v2	PROPN
ejpam-4745	289	3	−	−	PROPN
ejpam-4745	289	4	aψ(s	aψ(s	ADP
ejpam-4745	289	5	,	,	PUNCT
ejpam-4745	289	6	v	v	NOUN
ejpam-4745	289	7	)	)	PUNCT
ejpam-4745	289	8	]	]	PUNCT
ejpam-4745	289	9	.	.	PUNCT
ejpam-4745	290	1	(	(	PUNCT
ejpam-4745	290	2	30	30	NUM
ejpam-4745	290	3	)	)	PUNCT
ejpam-4745	290	4	now	now	ADV
ejpam-4745	290	5	,	,	PUNCT
ejpam-4745	290	6	we	we	PRON
ejpam-4745	290	7	give	give	VERB
ejpam-4745	290	8	illustrative	illustrative	ADJ
ejpam-4745	290	9	problem	problem	NOUN
ejpam-4745	290	10	to	to	ADP
ejpam-4745	290	11	above	above	ADP
ejpam-4745	290	12	technique	technique	NOUN
ejpam-4745	290	13	.	.	PUNCT
ejpam-4745	291	1	problem	problem	NOUN
ejpam-4745	291	2	4	4	NUM
ejpam-4745	291	3	.	.	PUNCT
ejpam-4745	291	4	consider	consider	VERB
ejpam-4745	291	5	the	the	DET
ejpam-4745	291	6	following	follow	VERB
ejpam-4745	291	7	vpide	vpide	PROPN
ejpam-4745	291	8	∂φ	∂φ	PROPN
ejpam-4745	291	9	(	(	PUNCT
ejpam-4745	291	10	t	t	PROPN
ejpam-4745	291	11	,	,	PUNCT
ejpam-4745	291	12	u	u	NOUN
ejpam-4745	291	13	)	)	PUNCT
ejpam-4745	291	14	∂t	∂t	PROPN
ejpam-4745	292	1	+	+	CCONJ
ejpam-4745	292	2	∂φ	∂φ	PROPN
ejpam-4745	292	3	(	(	PUNCT
ejpam-4745	292	4	t	t	PROPN
ejpam-4745	292	5	,	,	PUNCT
ejpam-4745	292	6	u	u	NOUN
ejpam-4745	292	7	)	)	PUNCT
ejpam-4745	292	8	∂u	∂u	NOUN
ejpam-4745	292	9	=	=	SYM
ejpam-4745	292	10	−1	−1	NOUN
ejpam-4745	292	11	+	+	NUM
ejpam-4745	292	12	et	et	NOUN
ejpam-4745	292	13	+	+	CCONJ
ejpam-4745	292	14	eu	eu	PROPN
ejpam-4745	293	1	+	+	PROPN
ejpam-4745	293	2	et+u	et+u	PROPN
ejpam-4745	294	1	+	+	CCONJ
ejpam-4745	294	2	∫	∫	PROPN
ejpam-4745	294	3	t	t	PROPN
ejpam-4745	294	4	0	0	NUM
ejpam-4745	294	5	∫	∫	PROPN
ejpam-4745	294	6	u	u	PROPN
ejpam-4745	294	7	0	0	PROPN
ejpam-4745	294	8	φ	φ	PROPN
ejpam-4745	294	9	(	(	PUNCT
ejpam-4745	294	10	t−m	t−m	PROPN
ejpam-4745	294	11	,	,	PUNCT
ejpam-4745	294	12	u−	u−	PROPN
ejpam-4745	294	13	n	n	CCONJ
ejpam-4745	294	14	)	)	PUNCT
ejpam-4745	294	15	dm	dm	NOUN
ejpam-4745	294	16	dn	dn	PROPN
ejpam-4745	294	17	,	,	PUNCT
ejpam-4745	294	18	(	(	PUNCT
ejpam-4745	294	19	31	31	NUM
ejpam-4745	294	20	)	)	PUNCT
ejpam-4745	294	21	with	with	ADP
ejpam-4745	294	22	the	the	DET
ejpam-4745	294	23	conditions	condition	NOUN
ejpam-4745	294	24	φ	φ	X
ejpam-4745	294	25	(	(	PUNCT
ejpam-4745	294	26	t	t	PROPN
ejpam-4745	294	27	,	,	PUNCT
ejpam-4745	294	28	0	0	NUM
ejpam-4745	294	29	)	)	PUNCT
ejpam-4745	294	30	=	=	SYM
ejpam-4745	294	31	et	et	PROPN
ejpam-4745	294	32	,	,	PUNCT
ejpam-4745	294	33	φ	φ	PROPN
ejpam-4745	294	34	(	(	PUNCT
ejpam-4745	294	35	0	0	NUM
ejpam-4745	294	36	,	,	PUNCT
ejpam-4745	294	37	u	u	NOUN
ejpam-4745	294	38	)	)	PUNCT
ejpam-4745	294	39	=	=	SYM
ejpam-4745	294	40	eu	eu	PROPN
ejpam-4745	294	41	.	.	PUNCT
ejpam-4745	294	42	(	(	PUNCT
ejpam-4745	294	43	32	32	NUM
ejpam-4745	294	44	)	)	PUNCT
ejpam-4745	294	45	a.	a.	NOUN
ejpam-4745	294	46	qazza	qazza	PROPN
ejpam-4745	294	47	/	/	SYM
ejpam-4745	294	48	eur	eur	PROPN
ejpam-4745	294	49	.	.	PUNCT
ejpam-4745	295	1	j.	j.	PROPN
ejpam-4745	295	2	pure	pure	PROPN
ejpam-4745	295	3	appl	appl	PROPN
ejpam-4745	295	4	.	.	PROPN
ejpam-4745	295	5	math	math	PROPN
ejpam-4745	295	6	,	,	PUNCT
ejpam-4745	295	7	16	16	NUM
ejpam-4745	295	8	(	(	PUNCT
ejpam-4745	295	9	2	2	NUM
ejpam-4745	295	10	)	)	PUNCT
ejpam-4745	295	11	(	(	PUNCT
ejpam-4745	295	12	2023	2023	NUM
ejpam-4745	295	13	)	)	PUNCT
ejpam-4745	295	14	,	,	PUNCT
ejpam-4745	295	15	919	919	NUM
ejpam-4745	295	16	-	-	SYM
ejpam-4745	295	17	933	933	NUM
ejpam-4745	295	18	930	930	NUM
ejpam-4745	295	19	solution	solution	NOUN
ejpam-4745	295	20	.	.	PUNCT
ejpam-4745	296	1	by	by	ADP
ejpam-4745	296	2	implementing	implement	VERB
ejpam-4745	296	3	dl	dl	PROPN
ejpam-4745	296	4	-	-	PUNCT
ejpam-4745	296	5	ara	ara	PROPN
ejpam-4745	296	6	in	in	ADP
ejpam-4745	296	7	equation	equation	NOUN
ejpam-4745	296	8	(	(	PUNCT
ejpam-4745	296	9	32	32	NUM
ejpam-4745	296	10	)	)	PUNCT
ejpam-4745	296	11	and	and	CCONJ
ejpam-4745	296	12	the	the	DET
ejpam-4745	296	13	source	source	NOUN
ejpam-4745	296	14	function	function	PROPN
ejpam-4745	296	15	ω	ω	PROPN
ejpam-4745	296	16	(	(	PUNCT
ejpam-4745	296	17	t	t	PROPN
ejpam-4745	296	18	,	,	PUNCT
ejpam-4745	296	19	u)	u)	PROPN
ejpam-4745	296	20	f0	f0	PROPN
ejpam-4745	296	21	(	(	PUNCT
ejpam-4745	296	22	s	s	X
ejpam-4745	296	23	)	)	PUNCT
ejpam-4745	296	24	=	=	SYM
ejpam-4745	296	25	lt	lt	PROPN
ejpam-4745	296	26	[	[	PUNCT
ejpam-4745	296	27	et	et	X
ejpam-4745	296	28	]	]	PUNCT
ejpam-4745	296	29	=	=	SYM
ejpam-4745	296	30	1	1	NUM
ejpam-4745	296	31	s−1	s−1	PROPN
ejpam-4745	296	32	,	,	PUNCT
ejpam-4745	296	33	h0	h0	NOUN
ejpam-4745	296	34	(	(	PUNCT
ejpam-4745	296	35	v	v	NOUN
ejpam-4745	296	36	)	)	PUNCT
ejpam-4745	296	37	=	=	SYM
ejpam-4745	296	38	gu	gu	NOUN
ejpam-4745	296	39	[	[	X
ejpam-4745	296	40	eu	eu	X
ejpam-4745	296	41	]	]	X
ejpam-4745	296	42	=	=	X
ejpam-4745	296	43	v	v	SCONJ
ejpam-4745	296	44	v−1	v−1	PROPN
ejpam-4745	296	45	,	,	PUNCT
ejpam-4745	296	46	ω	ω	PROPN
ejpam-4745	296	47	(	(	PUNCT
ejpam-4745	296	48	t	t	PROPN
ejpam-4745	296	49	,	,	PUNCT
ejpam-4745	296	50	u	u	NOUN
ejpam-4745	296	51	)	)	PUNCT
ejpam-4745	296	52	=	=	SYM
ejpam-4745	296	53	ltgu	ltgu	NOUN
ejpam-4745	296	54	[	[	PUNCT
ejpam-4745	296	55	−1	−1	NOUN
ejpam-4745	296	56	+	+	CCONJ
ejpam-4745	296	57	et	et	NOUN
ejpam-4745	296	58	+	+	CCONJ
ejpam-4745	296	59	eu	eu	PROPN
ejpam-4745	297	1	+	+	PROPN
ejpam-4745	297	2	et+u	et+u	PROPN
ejpam-4745	297	3	]	]	X
ejpam-4745	297	4	=	=	PUNCT
ejpam-4745	297	5	v(1−2sv	v(1−2sv	NUM
ejpam-4745	297	6	)	)	PUNCT
ejpam-4745	297	7	(	(	PUNCT
ejpam-4745	297	8	v−v2)(−1+s)s	v−v2)(−1+s)s	PROPN
ejpam-4745	297	9	.	.	PUNCT
ejpam-4745	298	1	(	(	PUNCT
ejpam-4745	298	2	33	33	NUM
ejpam-4745	298	3	)	)	PUNCT
ejpam-4745	298	4	now	now	ADV
ejpam-4745	298	5	,	,	PUNCT
ejpam-4745	298	6	putting	put	VERB
ejpam-4745	298	7	values	value	NOUN
ejpam-4745	298	8	in	in	ADP
ejpam-4745	298	9	(	(	PUNCT
ejpam-4745	298	10	33	33	NUM
ejpam-4745	298	11	)	)	PUNCT
ejpam-4745	298	12	,	,	PUNCT
ejpam-4745	298	13	into	into	ADP
ejpam-4745	298	14	(	(	PUNCT
ejpam-4745	298	15	30	30	NUM
ejpam-4745	298	16	)	)	PUNCT
ejpam-4745	298	17	,	,	PUNCT
ejpam-4745	298	18	we	we	PRON
ejpam-4745	298	19	get	get	VERB
ejpam-4745	298	20	the	the	DET
ejpam-4745	298	21	solution	solution	NOUN
ejpam-4745	298	22	of	of	ADP
ejpam-4745	298	23	(	(	PUNCT
ejpam-4745	298	24	31	31	NUM
ejpam-4745	298	25	)	)	PUNCT
ejpam-4745	298	26	as	as	SCONJ
ejpam-4745	298	27	follows	follow	VERB
ejpam-4745	298	28	φ	φ	PROPN
ejpam-4745	298	29	(	(	PUNCT
ejpam-4745	298	30	t	t	PROPN
ejpam-4745	298	31	,	,	PUNCT
ejpam-4745	298	32	u	u	NOUN
ejpam-4745	298	33	)	)	PUNCT
ejpam-4745	298	34	=	=	PUNCT
ejpam-4745	298	35	l−1	l−1	PROPN
ejpam-4745	298	36	t	t	NOUN
ejpam-4745	298	37	g−1	g−1	PROPN
ejpam-4745	298	38	u	u	PROPN
ejpam-4745	298	39	v	v	PROPN
ejpam-4745	298	40	(	(	PUNCT
ejpam-4745	298	41	v(1−2sv	v(1−2sv	NUM
ejpam-4745	298	42	)	)	PUNCT
ejpam-4745	298	43	(	(	PUNCT
ejpam-4745	298	44	v−v2)(−1+s)s	v−v2)(−1+s)s	X
ejpam-4745	298	45	)	)	PUNCT
ejpam-4745	299	1	s	s	VERB
ejpam-4745	299	2	v	v	NOUN
ejpam-4745	299	3	+	+	X
ejpam-4745	300	1	v2	v2	NOUN
ejpam-4745	300	2	−	−	NOUN
ejpam-4745	300	3	1	1	NUM
ejpam-4745	300	4	s	s	NOUN
ejpam-4745	300	5	+	+	NOUN
ejpam-4745	300	6	v	v	NOUN
ejpam-4745	300	7	v	v	NOUN
ejpam-4745	300	8	v−1	v−1	PROPN
ejpam-4745	301	1	+	+	CCONJ
ejpam-4745	302	1	v2	v2	NOUN
ejpam-4745	302	2	1	1	NUM
ejpam-4745	302	3	s−1	s−1	PROPN
ejpam-4745	302	4	s	s	PART
ejpam-4745	302	5	v	v	NOUN
ejpam-4745	302	6	+	+	X
ejpam-4745	302	7	v2	v2	NOUN
ejpam-4745	302	8	−	−	NOUN
ejpam-4745	302	9	1	1	NUM
ejpam-4745	302	10	s	s	NOUN
ejpam-4745	302	11			NOUN
ejpam-4745	302	12	=	=	PUNCT
ejpam-4745	302	13	l−1	l−1	NOUN
ejpam-4745	302	14	x	x	SYM
ejpam-4745	302	15	g−1	g−1	PROPN
ejpam-4745	302	16	u	u	NOUN
ejpam-4745	302	17	[	[	PUNCT
ejpam-4745	302	18	v	v	NOUN
ejpam-4745	302	19	(	(	PUNCT
ejpam-4745	302	20	−1	−1	NOUN
ejpam-4745	302	21	+	+	CCONJ
ejpam-4745	302	22	v	v	NOUN
ejpam-4745	302	23	)	)	PUNCT
ejpam-4745	302	24	(	(	PUNCT
ejpam-4745	302	25	−1	−1	NOUN
ejpam-4745	302	26	+	+	SYM
ejpam-4745	302	27	s	s	X
ejpam-4745	302	28	)	)	PUNCT
ejpam-4745	302	29	]	]	PUNCT
ejpam-4745	303	1	=	=	PUNCT
ejpam-4745	303	2	et+u	et+u	PROPN
ejpam-4745	303	3	.	.	PUNCT
ejpam-4745	304	1	(	(	PUNCT
ejpam-4745	304	2	34	34	NUM
ejpam-4745	304	3	)	)	PUNCT
ejpam-4745	304	4	4.3	4.3	NUM
ejpam-4745	304	5	.	.	PUNCT
ejpam-4745	304	6	vpide	vpide	NOUN
ejpam-4745	304	7	of	of	ADP
ejpam-4745	304	8	second	second	ADJ
ejpam-4745	304	9	order	order	NOUN
ejpam-4745	304	10	given	give	VERB
ejpam-4745	304	11	the	the	DET
ejpam-4745	304	12	following	follow	VERB
ejpam-4745	304	13	vpide	vpide	NOUN
ejpam-4745	304	14	∂2φ	∂2φ	NOUN
ejpam-4745	304	15	(	(	PUNCT
ejpam-4745	304	16	t	t	PROPN
ejpam-4745	304	17	,	,	PUNCT
ejpam-4745	304	18	u	u	NOUN
ejpam-4745	304	19	)	)	PUNCT
ejpam-4745	304	20	∂u2	∂u2	PROPN
ejpam-4745	304	21	−	−	PROPN
ejpam-4745	304	22	∂2φ	∂2φ	NOUN
ejpam-4745	304	23	(	(	PUNCT
ejpam-4745	304	24	t	t	PROPN
ejpam-4745	304	25	,	,	PUNCT
ejpam-4745	304	26	u	u	NOUN
ejpam-4745	304	27	)	)	PUNCT
ejpam-4745	304	28	∂t2	∂t2	NOUN
ejpam-4745	305	1	+	+	CCONJ
ejpam-4745	305	2	φ	φ	PROPN
ejpam-4745	305	3	(	(	PUNCT
ejpam-4745	305	4	t	t	PROPN
ejpam-4745	305	5	,	,	PUNCT
ejpam-4745	305	6	u	u	NOUN
ejpam-4745	305	7	)	)	PUNCT
ejpam-4745	305	8	+	+	CCONJ
ejpam-4745	306	1	∫	∫	PROPN
ejpam-4745	306	2	t	t	PROPN
ejpam-4745	306	3	0	0	NUM
ejpam-4745	306	4	∫	∫	PROPN
ejpam-4745	306	5	u	u	NOUN
ejpam-4745	306	6	0	0	PROPN
ejpam-4745	306	7	ψ	ψ	X
ejpam-4745	306	8	(	(	PUNCT
ejpam-4745	306	9	t−	t−	PROPN
ejpam-4745	306	10	δ	δ	PROPN
ejpam-4745	306	11	,	,	PUNCT
ejpam-4745	306	12	u−	u−	PROPN
ejpam-4745	306	13	ε	ε	PROPN
ejpam-4745	306	14	)	)	PUNCT
ejpam-4745	306	15	φ	φ	PROPN
ejpam-4745	306	16	(	(	PUNCT
ejpam-4745	306	17	δ	δ	PROPN
ejpam-4745	306	18	,	,	PUNCT
ejpam-4745	306	19	ε)dδ	ε)dδ	PROPN
ejpam-4745	306	20	dε	dε	PROPN
ejpam-4745	306	21	=	=	SYM
ejpam-4745	306	22	ω	ω	PROPN
ejpam-4745	306	23	(	(	PUNCT
ejpam-4745	306	24	t	t	PROPN
ejpam-4745	306	25	,	,	PUNCT
ejpam-4745	306	26	u	u	NOUN
ejpam-4745	306	27	)	)	PUNCT
ejpam-4745	306	28	,	,	PUNCT
ejpam-4745	306	29	(	(	PUNCT
ejpam-4745	306	30	35	35	NUM
ejpam-4745	306	31	)	)	PUNCT
ejpam-4745	306	32	with	with	ADP
ejpam-4745	306	33	the	the	DET
ejpam-4745	306	34	conditions	condition	NOUN
ejpam-4745	306	35	φ	φ	X
ejpam-4745	306	36	(	(	PUNCT
ejpam-4745	306	37	t	t	PROPN
ejpam-4745	306	38	,	,	PUNCT
ejpam-4745	306	39	0	0	NUM
ejpam-4745	306	40	)	)	PUNCT
ejpam-4745	307	1	=	=	SYM
ejpam-4745	307	2	f0	f0	PROPN
ejpam-4745	307	3	(	(	PUNCT
ejpam-4745	307	4	t	t	PROPN
ejpam-4745	307	5	)	)	PUNCT
ejpam-4745	307	6	,	,	PUNCT
ejpam-4745	307	7	φu	φu	PROPN
ejpam-4745	307	8	(	(	PUNCT
ejpam-4745	307	9	t	t	PROPN
ejpam-4745	307	10	,	,	PUNCT
ejpam-4745	307	11	0	0	NUM
ejpam-4745	307	12	)	)	PUNCT
ejpam-4745	307	13	=	=	SYM
ejpam-4745	307	14	f1	f1	NOUN
ejpam-4745	307	15	(	(	PUNCT
ejpam-4745	307	16	t	t	PROPN
ejpam-4745	307	17	)	)	PUNCT
ejpam-4745	307	18	,	,	PUNCT
ejpam-4745	307	19	φ	φ	X
ejpam-4745	307	20	(	(	PUNCT
ejpam-4745	307	21	0	0	NUM
ejpam-4745	307	22	,	,	PUNCT
ejpam-4745	307	23	u	u	NOUN
ejpam-4745	307	24	)	)	PUNCT
ejpam-4745	307	25	=	=	SYM
ejpam-4745	307	26	h0	h0	NOUN
ejpam-4745	307	27	(	(	PUNCT
ejpam-4745	307	28	u	u	NOUN
ejpam-4745	307	29	)	)	PUNCT
ejpam-4745	307	30	,	,	PUNCT
ejpam-4745	307	31	φt	φt	X
ejpam-4745	307	32	(	(	PUNCT
ejpam-4745	307	33	0	0	NUM
ejpam-4745	307	34	,	,	PUNCT
ejpam-4745	307	35	u	u	NOUN
ejpam-4745	307	36	)	)	PUNCT
ejpam-4745	307	37	=	=	SYM
ejpam-4745	307	38	h1	h1	ADJ
ejpam-4745	307	39	(	(	PUNCT
ejpam-4745	307	40	u	u	NOUN
ejpam-4745	307	41	)	)	PUNCT
ejpam-4745	307	42	.	.	PUNCT
ejpam-4745	308	1	(	(	PUNCT
ejpam-4745	308	2	36	36	X
ejpam-4745	308	3	)	)	PUNCT
ejpam-4745	308	4	applying	apply	VERB
ejpam-4745	308	5	dl	dl	PROPN
ejpam-4745	308	6	-	-	PUNCT
ejpam-4745	308	7	arat	arat	NOUN
ejpam-4745	308	8	to	to	PART
ejpam-4745	308	9	(	(	PUNCT
ejpam-4745	308	10	36	36	NUM
ejpam-4745	308	11	)	)	PUNCT
ejpam-4745	308	12	,	,	PUNCT
ejpam-4745	308	13	we	we	PRON
ejpam-4745	308	14	have	have	VERB
ejpam-4745	308	15	v2φ	v2φ	PRON
ejpam-4745	308	16	(	(	PUNCT
ejpam-4745	308	17	s	s	X
ejpam-4745	308	18	,	,	PUNCT
ejpam-4745	308	19	v)−	v)−	PROPN
ejpam-4745	308	20	v2lt	v2lt	PUNCT
ejpam-4745	309	1	[	[	X
ejpam-4745	309	2	φ	φ	X
ejpam-4745	309	3	(	(	PUNCT
ejpam-4745	309	4	t	t	PROPN
ejpam-4745	309	5	,	,	PUNCT
ejpam-4745	309	6	0)]−	0)]−	NUM
ejpam-4745	309	7	vlt	vlt	NOUN
ejpam-4745	309	8	[	[	X
ejpam-4745	309	9	φu	φu	X
ejpam-4745	309	10	(	(	PUNCT
ejpam-4745	309	11	t	t	PROPN
ejpam-4745	309	12	,	,	PUNCT
ejpam-4745	309	13	0)]−	0)]−	NUM
ejpam-4745	309	14	(	(	PUNCT
ejpam-4745	309	15	s2φ	s2φ	X
ejpam-4745	309	16	(	(	PUNCT
ejpam-4745	309	17	s	s	X
ejpam-4745	309	18	,	,	PUNCT
ejpam-4745	309	19	v)−	v)−	PROPN
ejpam-4745	309	20	sgu	sgu	NOUN
ejpam-4745	310	1	[	[	X
ejpam-4745	310	2	φ	φ	X
ejpam-4745	310	3	(	(	PUNCT
ejpam-4745	310	4	0	0	NUM
ejpam-4745	310	5	,	,	PUNCT
ejpam-4745	310	6	u)]−	u)]−	NOUN
ejpam-4745	310	7	gu	gu	NOUN
ejpam-4745	311	1	[	[	X
ejpam-4745	311	2	φt	φt	X
ejpam-4745	311	3	(	(	PUNCT
ejpam-4745	311	4	0	0	NUM
ejpam-4745	311	5	,	,	PUNCT
ejpam-4745	311	6	u	u	NOUN
ejpam-4745	311	7	)	)	PUNCT
ejpam-4745	311	8	]	]	PUNCT
ejpam-4745	311	9	)	)	PUNCT
ejpam-4745	312	1	+	+	VERB
ejpam-4745	312	2	φ(s	φ(s	NOUN
ejpam-4745	312	3	,	,	PUNCT
ejpam-4745	312	4	v	v	NOUN
ejpam-4745	312	5	)	)	PUNCT
ejpam-4745	312	6	+	+	CCONJ
ejpam-4745	312	7	1	1	NUM
ejpam-4745	312	8	v	v	X
ejpam-4745	312	9	φ	φ	PROPN
ejpam-4745	312	10	(	(	PUNCT
ejpam-4745	312	11	s	s	PROPN
ejpam-4745	312	12	,	,	PUNCT
ejpam-4745	312	13	v)ψ	v)ψ	X
ejpam-4745	312	14	(	(	PUNCT
ejpam-4745	312	15	s	s	X
ejpam-4745	312	16	,	,	PUNCT
ejpam-4745	312	17	v	v	NOUN
ejpam-4745	312	18	)	)	PUNCT
ejpam-4745	312	19	=	=	SYM
ejpam-4745	312	20	ω	ω	PROPN
ejpam-4745	312	21	(	(	PUNCT
ejpam-4745	312	22	s	s	PROPN
ejpam-4745	312	23	,	,	PUNCT
ejpam-4745	312	24	v	v	NOUN
ejpam-4745	312	25	)	)	PUNCT
ejpam-4745	312	26	.	.	PUNCT
ejpam-4745	313	1	after	after	ADP
ejpam-4745	313	2	simple	simple	ADJ
ejpam-4745	313	3	calculations	calculation	NOUN
ejpam-4745	313	4	,	,	PUNCT
ejpam-4745	313	5	one	one	PRON
ejpam-4745	313	6	can	can	AUX
ejpam-4745	313	7	obtain	obtain	VERB
ejpam-4745	313	8	φ	φ	PROPN
ejpam-4745	313	9	(	(	PUNCT
ejpam-4745	313	10	s	s	PROPN
ejpam-4745	313	11	,	,	PUNCT
ejpam-4745	313	12	v	v	NOUN
ejpam-4745	313	13	)	)	PUNCT
ejpam-4745	313	14	=	=	PUNCT
ejpam-4745	314	1	v3f0(s	v3f0(s	X
ejpam-4745	314	2	)	)	PUNCT
ejpam-4745	314	3	+	+	CCONJ
ejpam-4745	314	4	v2f1(s)−	v2f1(s)−	NUM
ejpam-4745	314	5	svh0(v	svh0(v	PROPN
ejpam-4745	314	6	)	)	PUNCT
ejpam-4745	314	7	v3	v3	PROPN
ejpam-4745	314	8	−	−	PROPN
ejpam-4745	314	9	s2v	s2v	NOUN
ejpam-4745	314	10	+	+	CCONJ
ejpam-4745	314	11	v	v	X
ejpam-4745	314	12	+	+	NOUN
ejpam-4745	314	13	ψ(s	ψ(s	ADJ
ejpam-4745	314	14	,	,	PUNCT
ejpam-4745	314	15	v	v	NOUN
ejpam-4745	314	16	)	)	PUNCT
ejpam-4745	314	17	+	+	NOUN
ejpam-4745	314	18	−vh1(v	−vh1(v	NOUN
ejpam-4745	314	19	)	)	PUNCT
ejpam-4745	315	1	+	+	CCONJ
ejpam-4745	315	2	vω	vω	INTJ
ejpam-4745	315	3	(	(	PUNCT
ejpam-4745	315	4	s	s	PROPN
ejpam-4745	315	5	,	,	PUNCT
ejpam-4745	315	6	v	v	NOUN
ejpam-4745	315	7	)	)	PUNCT
ejpam-4745	315	8	v3	v3	PROPN
ejpam-4745	315	9	−	−	PROPN
ejpam-4745	315	10	s2v	s2v	NOUN
ejpam-4745	315	11	+	+	CCONJ
ejpam-4745	315	12	v	v	X
ejpam-4745	315	13	+	+	NOUN
ejpam-4745	315	14	ψ(s	ψ(s	ADJ
ejpam-4745	315	15	,	,	PUNCT
ejpam-4745	315	16	v	v	NOUN
ejpam-4745	315	17	)	)	PUNCT
ejpam-4745	315	18	,	,	PUNCT
ejpam-4745	315	19	(	(	PUNCT
ejpam-4745	315	20	37	37	NUM
ejpam-4745	315	21	)	)	PUNCT
ejpam-4745	315	22	where	where	SCONJ
ejpam-4745	315	23	f0	f0	PROPN
ejpam-4745	315	24	(	(	PUNCT
ejpam-4745	315	25	s	s	X
ejpam-4745	315	26	)	)	PUNCT
ejpam-4745	315	27	=	=	SYM
ejpam-4745	315	28	lt	lt	NOUN
ejpam-4745	316	1	[	[	X
ejpam-4745	316	2	φ	φ	X
ejpam-4745	316	3	(	(	PUNCT
ejpam-4745	316	4	t	t	PROPN
ejpam-4745	316	5	,	,	PUNCT
ejpam-4745	316	6	0	0	NUM
ejpam-4745	316	7	)	)	PUNCT
ejpam-4745	316	8	]	]	PUNCT
ejpam-4745	316	9	,	,	PUNCT
ejpam-4745	316	10	f1	f1	PROPN
ejpam-4745	316	11	(	(	PUNCT
ejpam-4745	316	12	s	s	NOUN
ejpam-4745	316	13	)	)	PUNCT
ejpam-4745	316	14	=	=	SYM
ejpam-4745	316	15	lt	lt	NOUN
ejpam-4745	317	1	[	[	X
ejpam-4745	317	2	φu	φu	X
ejpam-4745	317	3	(	(	PUNCT
ejpam-4745	317	4	§	§	PROPN
ejpam-4745	317	5	,	,	PUNCT
ejpam-4745	317	6	0	0	NUM
ejpam-4745	317	7	)	)	PUNCT
ejpam-4745	317	8	]	]	PUNCT
ejpam-4745	317	9	,	,	PUNCT
ejpam-4745	317	10	h0	h0	PROPN
ejpam-4745	317	11	(	(	PUNCT
ejpam-4745	317	12	v	v	NOUN
ejpam-4745	317	13	)	)	PUNCT
ejpam-4745	317	14	=	=	SYM
ejpam-4745	317	15	gu	gu	NOUN
ejpam-4745	318	1	[	[	X
ejpam-4745	318	2	φ	φ	X
ejpam-4745	318	3	(	(	PUNCT
ejpam-4745	318	4	0	0	NUM
ejpam-4745	318	5	,	,	PUNCT
ejpam-4745	318	6	u	u	NOUN
ejpam-4745	318	7	)	)	PUNCT
ejpam-4745	318	8	]	]	PUNCT
ejpam-4745	318	9	and	and	CCONJ
ejpam-4745	318	10	h1	h1	PROPN
ejpam-4745	318	11	(	(	PUNCT
ejpam-4745	318	12	v	v	NOUN
ejpam-4745	318	13	)	)	PUNCT
ejpam-4745	318	14	=	=	SYM
ejpam-4745	318	15	gu	gu	NOUN
ejpam-4745	319	1	[	[	X
ejpam-4745	319	2	φt	φt	X
ejpam-4745	319	3	(	(	PUNCT
ejpam-4745	319	4	0	0	NUM
ejpam-4745	319	5	,	,	PUNCT
ejpam-4745	319	6	u	u	NOUN
ejpam-4745	319	7	)	)	PUNCT
ejpam-4745	319	8	]	]	PUNCT
ejpam-4745	319	9	.	.	PUNCT
ejpam-4745	320	1	running	run	VERB
ejpam-4745	320	2	the	the	DET
ejpam-4745	320	3	inverse	inverse	NOUN
ejpam-4745	320	4	transform	transform	NOUN
ejpam-4745	320	5	l−1	l−1	PROPN
ejpam-4745	320	6	t	t	NOUN
ejpam-4745	320	7	g−1	g−1	PROPN
ejpam-4745	320	8	u	u	PROPN
ejpam-4745	320	9	,	,	PUNCT
ejpam-4745	320	10	we	we	PRON
ejpam-4745	320	11	get	get	VERB
ejpam-4745	320	12	the	the	DET
ejpam-4745	320	13	solution	solution	NOUN
ejpam-4745	320	14	of	of	ADP
ejpam-4745	320	15	(	(	PUNCT
ejpam-4745	320	16	35	35	NUM
ejpam-4745	320	17	)	)	PUNCT
ejpam-4745	320	18	as	as	SCONJ
ejpam-4745	320	19	follows	follow	VERB
ejpam-4745	320	20	φ	φ	PROPN
ejpam-4745	320	21	(	(	PUNCT
ejpam-4745	320	22	t	t	PROPN
ejpam-4745	320	23	,	,	PUNCT
ejpam-4745	320	24	u	u	NOUN
ejpam-4745	320	25	)	)	PUNCT
ejpam-4745	320	26	=	=	PUNCT
ejpam-4745	320	27	l−1	l−1	PROPN
ejpam-4745	320	28	t	t	NOUN
ejpam-4745	320	29	g−1	g−1	PROPN
ejpam-4745	320	30	u	u	PROPN
ejpam-4745	320	31	[	[	PUNCT
ejpam-4745	320	32	v3f0(s	v3f0(s	ADJ
ejpam-4745	320	33	)	)	PUNCT
ejpam-4745	320	34	+	+	CCONJ
ejpam-4745	320	35	v2f1(s	v2f1(	VERB
ejpam-4745	320	36	)	)	PUNCT
ejpam-4745	320	37	v3	v3	PROPN
ejpam-4745	320	38	−	−	PROPN
ejpam-4745	320	39	s2v	s2v	NOUN
ejpam-4745	320	40	+	+	CCONJ
ejpam-4745	320	41	v	v	ADP
ejpam-4745	320	42	+	+	NOUN
ejpam-4745	320	43	φ(s	φ(s	NOUN
ejpam-4745	320	44	,	,	PUNCT
ejpam-4745	320	45	v	v	NOUN
ejpam-4745	320	46	)	)	PUNCT
ejpam-4745	320	47	+	+	CCONJ
ejpam-4745	321	1	−svh0(v)−	−svh0(v)−	ADJ
ejpam-4745	321	2	vh1(v	vh1(v	NOUN
ejpam-4745	321	3	)	)	PUNCT
ejpam-4745	322	1	+	+	CCONJ
ejpam-4745	322	2	vω	vω	INTJ
ejpam-4745	322	3	(	(	PUNCT
ejpam-4745	322	4	s	s	PROPN
ejpam-4745	322	5	,	,	PUNCT
ejpam-4745	322	6	v	v	NOUN
ejpam-4745	322	7	)	)	PUNCT
ejpam-4745	322	8	v3	v3	PROPN
ejpam-4745	322	9	−	−	PROPN
ejpam-4745	322	10	s2v	s2v	NOUN
ejpam-4745	322	11	+	+	CCONJ
ejpam-4745	322	12	v	v	X
ejpam-4745	322	13	+	+	NOUN
ejpam-4745	322	14	ψ(s	ψ(s	ADJ
ejpam-4745	322	15	,	,	PUNCT
ejpam-4745	322	16	v	v	NOUN
ejpam-4745	322	17	)	)	PUNCT
ejpam-4745	322	18	]	]	PUNCT
ejpam-4745	322	19	.	.	PUNCT
ejpam-4745	323	1	(	(	PUNCT
ejpam-4745	323	2	38	38	NUM
ejpam-4745	323	3	)	)	PUNCT
ejpam-4745	323	4	now	now	ADV
ejpam-4745	323	5	,	,	PUNCT
ejpam-4745	323	6	we	we	PRON
ejpam-4745	323	7	give	give	VERB
ejpam-4745	323	8	illustrative	illustrative	ADJ
ejpam-4745	323	9	problem	problem	NOUN
ejpam-4745	323	10	to	to	ADP
ejpam-4745	323	11	above	above	ADP
ejpam-4745	323	12	technique	technique	NOUN
ejpam-4745	323	13	.	.	PUNCT
ejpam-4745	324	1	references	reference	NOUN
ejpam-4745	324	2	931	931	NUM
ejpam-4745	324	3	problem	problem	NOUN
ejpam-4745	324	4	5	5	NUM
ejpam-4745	324	5	.	.	PUNCT
ejpam-4745	324	6	consider	consider	VERB
ejpam-4745	324	7	the	the	DET
ejpam-4745	324	8	following	follow	VERB
ejpam-4745	324	9	vpide	vpide	NOUN
ejpam-4745	324	10	∂2φ	∂2φ	NOUN
ejpam-4745	324	11	(	(	PUNCT
ejpam-4745	324	12	t	t	PROPN
ejpam-4745	324	13	,	,	PUNCT
ejpam-4745	324	14	u	u	NOUN
ejpam-4745	324	15	)	)	PUNCT
ejpam-4745	324	16	∂u2	∂u2	PROPN
ejpam-4745	324	17	−	−	PROPN
ejpam-4745	324	18	∂2φ	∂2φ	NOUN
ejpam-4745	324	19	(	(	PUNCT
ejpam-4745	324	20	t	t	PROPN
ejpam-4745	324	21	,	,	PUNCT
ejpam-4745	324	22	u	u	NOUN
ejpam-4745	324	23	)	)	PUNCT
ejpam-4745	324	24	∂t2	∂t2	NOUN
ejpam-4745	325	1	+	+	CCONJ
ejpam-4745	325	2	φ	φ	PROPN
ejpam-4745	325	3	(	(	PUNCT
ejpam-4745	325	4	t	t	PROPN
ejpam-4745	325	5	,	,	PUNCT
ejpam-4745	325	6	u	u	NOUN
ejpam-4745	325	7	)	)	PUNCT
ejpam-4745	325	8	+	+	CCONJ
ejpam-4745	326	1	∫	∫	PROPN
ejpam-4745	326	2	t	t	PROPN
ejpam-4745	326	3	0	0	NUM
ejpam-4745	326	4	∫	∫	PROPN
ejpam-4745	326	5	u	u	NOUN
ejpam-4745	326	6	0	0	NUM
ejpam-4745	326	7	et−m+u−nφ	et−m+u−nφ	NOUN
ejpam-4745	326	8	(	(	PUNCT
ejpam-4745	326	9	m	m	NOUN
ejpam-4745	326	10	,	,	PUNCT
ejpam-4745	326	11	n)dm	n)dm	PROPN
ejpam-4745	326	12	dn	dn	NOUN
ejpam-4745	326	13	=	=	PROPN
ejpam-4745	326	14	et+u	et+u	PROPN
ejpam-4745	326	15	+	+	CCONJ
ejpam-4745	326	16	tuet+u	tuet+u	PROPN
ejpam-4745	326	17	,	,	PUNCT
ejpam-4745	326	18	(	(	PUNCT
ejpam-4745	326	19	39	39	NUM
ejpam-4745	326	20	)	)	PUNCT
ejpam-4745	326	21	with	with	ADP
ejpam-4745	326	22	conditions	condition	NOUN
ejpam-4745	326	23	φ	φ	PROPN
ejpam-4745	326	24	(	(	PUNCT
ejpam-4745	326	25	t	t	PROPN
ejpam-4745	326	26	,	,	PUNCT
ejpam-4745	326	27	0	0	NUM
ejpam-4745	326	28	)	)	PUNCT
ejpam-4745	326	29	=	=	SYM
ejpam-4745	326	30	et	et	NOUN
ejpam-4745	326	31	,	,	PUNCT
ejpam-4745	326	32	φu	φu	PROPN
ejpam-4745	326	33	(	(	PUNCT
ejpam-4745	326	34	t	t	PROPN
ejpam-4745	326	35	,	,	PUNCT
ejpam-4745	326	36	0	0	NUM
ejpam-4745	326	37	)	)	PUNCT
ejpam-4745	326	38	=	=	SYM
ejpam-4745	326	39	et	et	PROPN
ejpam-4745	326	40	,	,	PUNCT
ejpam-4745	326	41	φ	φ	PROPN
ejpam-4745	326	42	(	(	PUNCT
ejpam-4745	326	43	0	0	NUM
ejpam-4745	326	44	,	,	PUNCT
ejpam-4745	326	45	u	u	NOUN
ejpam-4745	326	46	)	)	PUNCT
ejpam-4745	326	47	=	=	SYM
ejpam-4745	326	48	eu	eu	PROPN
ejpam-4745	326	49	,	,	PUNCT
ejpam-4745	326	50	φt	φt	X
ejpam-4745	326	51	(	(	PUNCT
ejpam-4745	326	52	0	0	NUM
ejpam-4745	326	53	,	,	PUNCT
ejpam-4745	326	54	u	u	NOUN
ejpam-4745	326	55	)	)	PUNCT
ejpam-4745	326	56	=	=	SYM
ejpam-4745	326	57	eu	eu	PROPN
ejpam-4745	326	58	.	.	PUNCT
ejpam-4745	326	59	(	(	PUNCT
ejpam-4745	326	60	40	40	NUM
ejpam-4745	326	61	)	)	PUNCT
ejpam-4745	326	62	solution.by	solution.by	PROPN
ejpam-4745	326	63	implementing	implement	VERB
ejpam-4745	326	64	dl	dl	PROPN
ejpam-4745	326	65	-	-	PUNCT
ejpam-4745	326	66	ara	ara	NOUN
ejpam-4745	326	67	in	in	ADP
ejpam-4745	326	68	equation	equation	NOUN
ejpam-4745	326	69	(	(	PUNCT
ejpam-4745	326	70	40	40	NUM
ejpam-4745	326	71	)	)	PUNCT
ejpam-4745	326	72	and	and	CCONJ
ejpam-4745	326	73	the	the	DET
ejpam-4745	326	74	functions	function	NOUN
ejpam-4745	326	75	ψ	ψ	X
ejpam-4745	326	76	(	(	PUNCT
ejpam-4745	326	77	s	s	PROPN
ejpam-4745	326	78	,	,	PUNCT
ejpam-4745	326	79	v	v	NOUN
ejpam-4745	326	80	)	)	PUNCT
ejpam-4745	326	81	and	and	CCONJ
ejpam-4745	326	82	ω(t	ω(t	PROPN
ejpam-4745	326	83	,	,	PUNCT
ejpam-4745	326	84	u	u	NOUN
ejpam-4745	326	85	)	)	PUNCT
ejpam-4745	326	86	,	,	PUNCT
ejpam-4745	326	87	we	we	PRON
ejpam-4745	326	88	achieve	achieve	VERB
ejpam-4745	326	89			NOUN
ejpam-4745	326	90	f0	f0	PROPN
ejpam-4745	326	91	(	(	PUNCT
ejpam-4745	326	92	s	s	NOUN
ejpam-4745	326	93	)	)	PUNCT
ejpam-4745	326	94	=	=	SYM
ejpam-4745	326	95	f1	f1	NOUN
ejpam-4745	326	96	(	(	PUNCT
ejpam-4745	326	97	s	s	NOUN
ejpam-4745	326	98	)	)	PUNCT
ejpam-4745	326	99	=	=	SYM
ejpam-4745	326	100	1	1	NUM
ejpam-4745	326	101	s−1	s−1	PROPN
ejpam-4745	326	102	,	,	PUNCT
ejpam-4745	326	103	h0	h0	NOUN
ejpam-4745	326	104	(	(	PUNCT
ejpam-4745	326	105	u	u	NOUN
ejpam-4745	326	106	)	)	PUNCT
ejpam-4745	326	107	=	=	SYM
ejpam-4745	326	108	h1	h1	ADJ
ejpam-4745	326	109	(	(	PUNCT
ejpam-4745	326	110	u	u	NOUN
ejpam-4745	326	111	)	)	PUNCT
ejpam-4745	326	112	=	=	SYM
ejpam-4745	327	1	u	u	NOUN
ejpam-4745	327	2	u−1	u−1	PROPN
ejpam-4745	327	3	,	,	PUNCT
ejpam-4745	327	4	ψ(s	ψ(s	PROPN
ejpam-4745	327	5	,	,	PUNCT
ejpam-4745	327	6	v	v	NOUN
ejpam-4745	327	7	)	)	PUNCT
ejpam-4745	327	8	=	=	SYM
ejpam-4745	327	9	v	v	NOUN
ejpam-4745	327	10	(	(	PUNCT
ejpam-4745	327	11	v−1)(s−1	v−1)(s−1	PROPN
ejpam-4745	327	12	)	)	PUNCT
ejpam-4745	327	13	,	,	PUNCT
ejpam-4745	327	14	ω	ω	X
ejpam-4745	327	15	(	(	PUNCT
ejpam-4745	327	16	s	s	PROPN
ejpam-4745	327	17	,	,	PUNCT
ejpam-4745	327	18	v	v	NOUN
ejpam-4745	327	19	)	)	PUNCT
ejpam-4745	327	20	=	=	SYM
ejpam-4745	327	21	v(2−s+v(s−1	v(2−s+v(s−1	NOUN
ejpam-4745	327	22	)	)	PUNCT
ejpam-4745	327	23	)	)	PUNCT
ejpam-4745	327	24	(	(	PUNCT
ejpam-4745	327	25	−1+s)2(−1+v	−1+s)2(−1+v	PROPN
ejpam-4745	327	26	)	)	PUNCT
ejpam-4745	327	27	2	2	NUM
ejpam-4745	327	28	.	.	PUNCT
ejpam-4745	328	1	(	(	PUNCT
ejpam-4745	328	2	41	41	NUM
ejpam-4745	328	3	)	)	PUNCT
ejpam-4745	328	4	now	now	ADV
ejpam-4745	328	5	,	,	PUNCT
ejpam-4745	328	6	putting	put	VERB
ejpam-4745	328	7	values	value	NOUN
ejpam-4745	328	8	in	in	ADP
ejpam-4745	328	9	(	(	PUNCT
ejpam-4745	328	10	41	41	NUM
ejpam-4745	328	11	)	)	PUNCT
ejpam-4745	328	12	,	,	PUNCT
ejpam-4745	328	13	into	into	ADP
ejpam-4745	328	14	(	(	PUNCT
ejpam-4745	328	15	38	38	NUM
ejpam-4745	328	16	)	)	PUNCT
ejpam-4745	328	17	,	,	PUNCT
ejpam-4745	328	18	we	we	PRON
ejpam-4745	328	19	obtain	obtain	VERB
ejpam-4745	328	20	the	the	DET
ejpam-4745	328	21	solution	solution	NOUN
ejpam-4745	328	22	of	of	ADP
ejpam-4745	328	23	equation	equation	NOUN
ejpam-4745	328	24	(	(	PUNCT
ejpam-4745	328	25	39	39	NUM
ejpam-4745	328	26	)	)	PUNCT
ejpam-4745	328	27	as	as	SCONJ
ejpam-4745	328	28	follows	follow	VERB
ejpam-4745	328	29	φ	φ	PROPN
ejpam-4745	328	30	(	(	PUNCT
ejpam-4745	328	31	t	t	PROPN
ejpam-4745	328	32	,	,	PUNCT
ejpam-4745	328	33	u	u	NOUN
ejpam-4745	328	34	)	)	PUNCT
ejpam-4745	328	35	=	=	PUNCT
ejpam-4745	328	36	l−1	l−1	PROPN
ejpam-4745	328	37	t	t	NOUN
ejpam-4745	328	38	g−1	g−1	PROPN
ejpam-4745	328	39	u	u	NOUN
ejpam-4745	328	40	v3	v3	VERB
ejpam-4745	328	41	1	1	NUM
ejpam-4745	328	42	s−1	s−1	PROPN
ejpam-4745	328	43	+	+	CCONJ
ejpam-4745	328	44	v2	v2	PROPN
ejpam-4745	328	45	1	1	NUM
ejpam-4745	328	46	s−1	s−1	PROPN
ejpam-4745	328	47	−	−	NOUN
ejpam-4745	328	48	sv	sv	NOUN
ejpam-4745	328	49	v	v	NOUN
ejpam-4745	328	50	v−1	v−1	PROPN
ejpam-4745	329	1	−	−	PROPN
ejpam-4745	329	2	v	v	NOUN
ejpam-4745	329	3	v	v	ADP
ejpam-4745	329	4	v−1	v−1	PROPN
ejpam-4745	329	5	v3	v3	PROPN
ejpam-4745	329	6	−	−	PROPN
ejpam-4745	330	1	s2v	s2v	NOUN
ejpam-4745	330	2	+	+	CCONJ
ejpam-4745	330	3	v	v	NOUN
ejpam-4745	330	4	+	+	X
ejpam-4745	330	5	v	v	NOUN
ejpam-4745	330	6	(	(	PUNCT
ejpam-4745	330	7	v−1)(s−1	v−1)(s−1	PROPN
ejpam-4745	330	8	)	)	PUNCT
ejpam-4745	331	1	+	+	CCONJ
ejpam-4745	331	2	v	v	NUM
ejpam-4745	331	3	v(2−s+v(−1+s	v(2−s+v(−1+s	NOUN
ejpam-4745	331	4	)	)	PUNCT
ejpam-4745	331	5	)	)	PUNCT
ejpam-4745	332	1	(	(	PUNCT
ejpam-4745	332	2	v−1)2(s−1)2	v−1)2(s−1)2	PROPN
ejpam-4745	332	3	v3	v3	PROPN
ejpam-4745	332	4	−	−	PROPN
ejpam-4745	332	5	s2v	s2v	NOUN
ejpam-4745	333	1	+	+	CCONJ
ejpam-4745	333	2	v	v	NOUN
ejpam-4745	333	3	+	+	X
ejpam-4745	333	4	v	v	NOUN
ejpam-4745	333	5	(	(	PUNCT
ejpam-4745	333	6	v−1)(s−1	v−1)(s−1	NOUN
ejpam-4745	333	7	)	)	PUNCT
ejpam-4745	333	8			NOUN
ejpam-4745	333	9	=	=	PUNCT
ejpam-4745	333	10	l−1	l−1	PROPN
ejpam-4745	333	11	t	t	NOUN
ejpam-4745	333	12	g−1	g−1	PROPN
ejpam-4745	333	13	u	u	PROPN
ejpam-4745	333	14	[	[	PUNCT
ejpam-4745	333	15	v	v	NOUN
ejpam-4745	333	16	(	(	PUNCT
ejpam-4745	333	17	v	v	NOUN
ejpam-4745	333	18	−	−	PROPN
ejpam-4745	333	19	1)(s−	1)(s−	NUM
ejpam-4745	333	20	1	1	NUM
ejpam-4745	333	21	)	)	PUNCT
ejpam-4745	333	22	]	]	PUNCT
ejpam-4745	334	1	=	=	PUNCT
ejpam-4745	334	2	et+u	et+u	PROPN
ejpam-4745	334	3	.	.	PROPN
ejpam-4745	335	1	5	5	NUM
ejpam-4745	335	2	.	.	X
ejpam-4745	335	3	conclusion	conclusion	NOUN
ejpam-4745	335	4	in	in	ADP
ejpam-4745	335	5	this	this	DET
ejpam-4745	335	6	research	research	NOUN
ejpam-4745	335	7	manuscript	manuscript	NOUN
ejpam-4745	335	8	,	,	PUNCT
ejpam-4745	335	9	we	we	PRON
ejpam-4745	335	10	propose	propose	VERB
ejpam-4745	335	11	dl	dl	PROPN
ejpam-4745	335	12	-	-	PUNCT
ejpam-4745	335	13	arat	arat	ADJ
ejpam-4745	335	14	approach	approach	NOUN
ejpam-4745	335	15	to	to	PART
ejpam-4745	335	16	solve	solve	VERB
ejpam-4745	335	17	ides	ide	NOUN
ejpam-4745	335	18	.	.	PUNCT
ejpam-4745	336	1	theorems	theorem	NOUN
ejpam-4745	336	2	and	and	CCONJ
ejpam-4745	336	3	basic	basic	ADJ
ejpam-4745	336	4	properties	property	NOUN
ejpam-4745	336	5	of	of	ADP
ejpam-4745	336	6	the	the	DET
ejpam-4745	336	7	new	new	ADJ
ejpam-4745	336	8	dl	dl	PROPN
ejpam-4745	336	9	-	-	PUNCT
ejpam-4745	336	10	arat	arat	PROPN
ejpam-4745	336	11	are	be	AUX
ejpam-4745	336	12	presented	present	VERB
ejpam-4745	336	13	in	in	ADP
ejpam-4745	336	14	detail	detail	NOUN
ejpam-4745	336	15	.	.	PUNCT
ejpam-4745	337	1	two	two	NUM
ejpam-4745	337	2	types	type	NOUN
ejpam-4745	337	3	of	of	ADP
ejpam-4745	337	4	integral	integral	ADJ
ejpam-4745	337	5	equations	equation	NOUN
ejpam-4745	337	6	have	have	AUX
ejpam-4745	337	7	been	be	AUX
ejpam-4745	337	8	discussed	discuss	VERB
ejpam-4745	337	9	:	:	PUNCT
ejpam-4745	337	10	partial	partial	ADJ
ejpam-4745	337	11	integral	integral	ADJ
ejpam-4745	337	12	and	and	CCONJ
ejpam-4745	337	13	pides	pide	NOUN
ejpam-4745	337	14	.	.	PUNCT
ejpam-4745	338	1	the	the	DET
ejpam-4745	338	2	solutions	solution	NOUN
ejpam-4745	338	3	for	for	ADP
ejpam-4745	338	4	ides	ide	NOUN
ejpam-4745	338	5	are	be	AUX
ejpam-4745	338	6	examined	examine	VERB
ejpam-4745	338	7	and	and	CCONJ
ejpam-4745	338	8	found	find	VERB
ejpam-4745	338	9	to	to	PART
ejpam-4745	338	10	best	well	ADV
ejpam-4745	338	11	represent	represent	VERB
ejpam-4745	338	12	the	the	DET
ejpam-4745	338	13	true	true	ADJ
ejpam-4745	338	14	dynamics	dynamic	NOUN
ejpam-4745	338	15	of	of	ADP
ejpam-4745	338	16	the	the	DET
ejpam-4745	338	17	problem	problem	NOUN
ejpam-4745	338	18	.	.	PUNCT
ejpam-4745	339	1	the	the	DET
ejpam-4745	339	2	method	method	NOUN
ejpam-4745	339	3	offers	offer	VERB
ejpam-4745	339	4	a	a	DET
ejpam-4745	339	5	useful	useful	ADJ
ejpam-4745	339	6	way	way	NOUN
ejpam-4745	339	7	to	to	PART
ejpam-4745	339	8	develop	develop	VERB
ejpam-4745	339	9	an	an	DET
ejpam-4745	339	10	analytical	analytical	ADJ
ejpam-4745	339	11	treatment	treatment	NOUN
ejpam-4745	339	12	for	for	ADP
ejpam-4745	339	13	these	these	DET
ejpam-4745	339	14	equations	equation	NOUN
ejpam-4745	339	15	.	.	PUNCT
ejpam-4745	340	1	in	in	ADP
ejpam-4745	340	2	a	a	DET
ejpam-4745	340	3	future	future	ADJ
ejpam-4745	340	4	work	work	NOUN
ejpam-4745	340	5	we	we	PRON
ejpam-4745	340	6	will	will	AUX
ejpam-4745	340	7	use	use	VERB
ejpam-4745	340	8	the	the	DET
ejpam-4745	340	9	proposed	propose	VERB
ejpam-4745	340	10	scheme	scheme	NOUN
ejpam-4745	340	11	to	to	PART
ejpam-4745	340	12	solve	solve	VERB
ejpam-4745	340	13	other	other	ADJ
ejpam-4745	340	14	nonlinear	nonlinear	ADJ
ejpam-4745	340	15	equations	equation	NOUN
ejpam-4745	340	16	.	.	PUNCT
ejpam-4745	341	1	acknowledgements	acknowledgement	NOUN
ejpam-4745	341	2	the	the	DET
ejpam-4745	341	3	author	author	NOUN
ejpam-4745	341	4	is	be	AUX
ejpam-4745	341	5	grateful	grateful	ADJ
ejpam-4745	341	6	to	to	ADP
ejpam-4745	341	7	the	the	DET
ejpam-4745	341	8	reviewers	reviewer	NOUN
ejpam-4745	341	9	for	for	ADP
ejpam-4745	341	10	their	their	PRON
ejpam-4745	341	11	valuable	valuable	ADJ
ejpam-4745	341	12	remarks	remark	NOUN
ejpam-4745	341	13	,	,	PUNCT
ejpam-4745	341	14	comments	comment	NOUN
ejpam-4745	341	15	and	and	CCONJ
ejpam-4745	341	16	advice	advice	NOUN
ejpam-4745	341	17	,	,	PUNCT
ejpam-4745	341	18	that	that	PRON
ejpam-4745	341	19	help	help	VERB
ejpam-4745	341	20	to	to	PART
ejpam-4745	341	21	improve	improve	VERB
ejpam-4745	341	22	the	the	DET
ejpam-4745	341	23	quality	quality	NOUN
ejpam-4745	341	24	of	of	ADP
ejpam-4745	341	25	the	the	DET
ejpam-4745	341	26	manuscript	manuscript	NOUN
ejpam-4745	341	27	.	.	PUNCT
ejpam-4745	342	1	references	reference	NOUN
ejpam-4745	342	2	[	[	X
ejpam-4745	342	3	1	1	X
ejpam-4745	342	4	]	]	PUNCT
ejpam-4745	342	5	a	a	DET
ejpam-4745	342	6	burqan	burqan	NOUN
ejpam-4745	342	7	,	,	PUNCT
ejpam-4745	342	8	r	r	NOUN
ejpam-4745	342	9	saadeh	saadeh	NOUN
ejpam-4745	342	10	and	and	CCONJ
ejpam-4745	342	11	a.	a.	NOUN
ejpam-4745	342	12	qazza	qazza	PROPN
ejpam-4745	342	13	.	.	PUNCT
ejpam-4745	343	1	a	a	DET
ejpam-4745	343	2	novel	novel	ADJ
ejpam-4745	343	3	numerical	numerical	ADJ
ejpam-4745	343	4	approach	approach	NOUN
ejpam-4745	343	5	in	in	ADP
ejpam-4745	343	6	solving	solve	VERB
ejpam-4745	343	7	fractional	fractional	ADJ
ejpam-4745	343	8	neutral	neutral	ADJ
ejpam-4745	343	9	pantograph	pantograph	NOUN
ejpam-4745	343	10	equations	equation	NOUN
ejpam-4745	343	11	via	via	ADP
ejpam-4745	343	12	the	the	DET
ejpam-4745	343	13	ara	ara	PROPN
ejpam-4745	343	14	integral	integral	ADJ
ejpam-4745	343	15	transform	transform	NOUN
ejpam-4745	343	16	.	.	PUNCT
ejpam-4745	344	1	symmetry	symmetry	NOUN
ejpam-4745	344	2	,	,	PUNCT
ejpam-4745	344	3	14(1):50	14(1):50	PROPN
ejpam-4745	344	4	,	,	PUNCT
ejpam-4745	344	5	2021	2021	NUM
ejpam-4745	344	6	.	.	PUNCT
ejpam-4745	345	1	references	reference	NOUN
ejpam-4745	345	2	932	932	NUM
ejpam-4745	346	1	[	[	X
ejpam-4745	346	2	2	2	NUM
ejpam-4745	346	3	]	]	PUNCT
ejpam-4745	346	4	a	a	DET
ejpam-4745	346	5	k	k	PROPN
ejpam-4745	346	6	sedeeg	sedeeg	PROPN
ejpam-4745	346	7	,	,	PUNCT
ejpam-4745	346	8	z	z	PROPN
ejpam-4745	346	9	i	i	PRON
ejpam-4745	346	10	mahamoud	mahamoud	NOUN
ejpam-4745	346	11	and	and	CCONJ
ejpam-4745	346	12	r.	r.	PROPN
ejpam-4745	346	13	saadeh	saadeh	PROPN
ejpam-4745	346	14	.	.	PUNCT
ejpam-4745	347	1	using	use	VERB
ejpam-4745	347	2	double	double	ADJ
ejpam-4745	347	3	integral	integral	ADJ
ejpam-4745	347	4	transform	transform	NOUN
ejpam-4745	347	5	(	(	PUNCT
ejpam-4745	347	6	laplaceara	laplaceara	ADJ
ejpam-4745	347	7	transform	transform	NOUN
ejpam-4745	347	8	)	)	PUNCT
ejpam-4745	347	9	in	in	ADP
ejpam-4745	347	10	solving	solve	VERB
ejpam-4745	347	11	partial	partial	ADJ
ejpam-4745	347	12	differential	differential	NOUN
ejpam-4745	347	13	equations	equation	NOUN
ejpam-4745	347	14	.	.	PUNCT
ejpam-4745	348	1	symmetry	symmetry	PROPN
ejpam-4745	348	2	,	,	PUNCT
ejpam-4745	348	3	14:2418	14:2418	NUM
ejpam-4745	348	4	,	,	PUNCT
ejpam-4745	348	5	2022	2022	NUM
ejpam-4745	348	6	.	.	PUNCT
ejpam-4745	349	1	[	[	X
ejpam-4745	349	2	3	3	X
ejpam-4745	349	3	]	]	X
ejpam-4745	349	4	a	a	DET
ejpam-4745	349	5	khan	khan	PROPN
ejpam-4745	349	6	,	,	PUNCT
ejpam-4745	349	7	t	t	PROPN
ejpam-4745	349	8	s	s	PROPN
ejpam-4745	349	9	khan	khan	PROPN
ejpam-4745	349	10	,	,	PUNCT
ejpam-4745	349	11	m	m	VERB
ejpam-4745	349	12	i	i	PRON
ejpam-4745	349	13	syam	syam	NOUN
ejpam-4745	349	14	and	and	CCONJ
ejpam-4745	349	15	h.	h.	PROPN
ejpam-4745	349	16	khan	khan	PROPN
ejpam-4745	349	17	.	.	PUNCT
ejpam-4745	350	1	analytical	analytical	ADJ
ejpam-4745	350	2	solutions	solution	NOUN
ejpam-4745	350	3	of	of	ADP
ejpam-4745	350	4	time	time	NOUN
ejpam-4745	350	5	-	-	PUNCT
ejpam-4745	350	6	fractional	fractional	ADJ
ejpam-4745	350	7	wave	wave	NOUN
ejpam-4745	350	8	equation	equation	NOUN
ejpam-4745	350	9	by	by	ADP
ejpam-4745	350	10	double	double	ADJ
ejpam-4745	350	11	laplace	laplace	NOUN
ejpam-4745	350	12	transform	transform	NOUN
ejpam-4745	350	13	method	method	NOUN
ejpam-4745	350	14	.	.	PUNCT
ejpam-4745	351	1	the	the	DET
ejpam-4745	351	2	european	european	PROPN
ejpam-4745	351	3	physical	physical	PROPN
ejpam-4745	351	4	journal	journal	PROPN
ejpam-4745	351	5	plus	plus	CCONJ
ejpam-4745	351	6	,	,	PUNCT
ejpam-4745	351	7	134(4):163	134(4):163	NUM
ejpam-4745	351	8	,	,	PUNCT
ejpam-4745	351	9	2019	2019	NUM
ejpam-4745	351	10	.	.	PUNCT
ejpam-4745	352	1	[	[	X
ejpam-4745	352	2	4	4	X
ejpam-4745	352	3	]	]	X
ejpam-4745	352	4	a	a	DET
ejpam-4745	352	5	qazza	qazza	NOUN
ejpam-4745	352	6	,	,	PUNCT
ejpam-4745	352	7	a	a	DET
ejpam-4745	352	8	burqan	burqan	NOUN
ejpam-4745	352	9	and	and	CCONJ
ejpam-4745	352	10	r	r	NOUN
ejpam-4745	352	11	saadeh	saadeh	PROPN
ejpam-4745	352	12	.	.	PUNCT
ejpam-4745	353	1	a	a	DET
ejpam-4745	353	2	new	new	ADJ
ejpam-4745	353	3	attractive	attractive	ADJ
ejpam-4745	353	4	method	method	NOUN
ejpam-4745	353	5	in	in	ADP
ejpam-4745	353	6	solving	solve	VERB
ejpam-4745	353	7	families	family	NOUN
ejpam-4745	353	8	of	of	ADP
ejpam-4745	353	9	fractional	fractional	ADJ
ejpam-4745	353	10	differential	differential	ADJ
ejpam-4745	353	11	equations	equation	NOUN
ejpam-4745	353	12	by	by	ADP
ejpam-4745	353	13	a	a	DET
ejpam-4745	353	14	new	new	ADJ
ejpam-4745	353	15	transform	transform	NOUN
ejpam-4745	353	16	.	.	PUNCT
ejpam-4745	354	1	mathematics	mathematic	NOUN
ejpam-4745	354	2	,	,	PUNCT
ejpam-4745	354	3	9(23):3039	9(23):3039	NUM
ejpam-4745	354	4	,	,	PUNCT
ejpam-4745	354	5	2021	2021	NUM
ejpam-4745	354	6	.	.	PUNCT
ejpam-4745	355	1	[	[	X
ejpam-4745	355	2	5	5	NUM
ejpam-4745	355	3	]	]	PUNCT
ejpam-4745	355	4	a	a	DET
ejpam-4745	355	5	qazza	qazza	NOUN
ejpam-4745	355	6	,	,	PUNCT
ejpam-4745	355	7	a	a	DET
ejpam-4745	355	8	burqan	burqan	NOUN
ejpam-4745	355	9	,	,	PUNCT
ejpam-4745	355	10	r	r	NOUN
ejpam-4745	355	11	saadeh	saadeh	NOUN
ejpam-4745	355	12	and	and	CCONJ
ejpam-4745	355	13	r	r	PROPN
ejpam-4745	355	14	khalil	khalil	PROPN
ejpam-4745	355	15	.	.	PUNCT
ejpam-4745	356	1	applications	application	NOUN
ejpam-4745	356	2	on	on	ADP
ejpam-4745	356	3	double	double	ADJ
ejpam-4745	356	4	ara	ara	NOUN
ejpam-4745	356	5	–	–	PUNCT
ejpam-4745	356	6	sumudu	sumudu	NOUN
ejpam-4745	356	7	transform	transform	NOUN
ejpam-4745	356	8	in	in	ADP
ejpam-4745	356	9	solving	solve	VERB
ejpam-4745	356	10	fractional	fractional	ADJ
ejpam-4745	356	11	partial	partial	ADJ
ejpam-4745	356	12	differential	differential	NOUN
ejpam-4745	356	13	equations	equation	NOUN
ejpam-4745	356	14	.	.	PUNCT
ejpam-4745	357	1	symmetry	symmetry	PROPN
ejpam-4745	357	2	,	,	PUNCT
ejpam-4745	357	3	14:1817	14:1817	NUM
ejpam-4745	357	4	,	,	PUNCT
ejpam-4745	357	5	2022	2022	NUM
ejpam-4745	357	6	.	.	PUNCT
ejpam-4745	358	1	[	[	X
ejpam-4745	358	2	6	6	NUM
ejpam-4745	358	3	]	]	PUNCT
ejpam-4745	358	4	a	a	DET
ejpam-4745	358	5	qazza	qazza	NOUN
ejpam-4745	358	6	,	,	PUNCT
ejpam-4745	358	7	r	r	NOUN
ejpam-4745	358	8	hatamleh	hatamleh	NOUN
ejpam-4745	358	9	and	and	CCONJ
ejpam-4745	358	10	n	n	PRON
ejpam-4745	358	11	alodat	alodat	NOUN
ejpam-4745	358	12	.	.	PUNCT
ejpam-4745	359	1	about	about	ADP
ejpam-4745	359	2	the	the	DET
ejpam-4745	359	3	solution	solution	NOUN
ejpam-4745	359	4	stability	stability	NOUN
ejpam-4745	359	5	of	of	ADP
ejpam-4745	359	6	volterra	volterra	PROPN
ejpam-4745	359	7	integral	integral	ADJ
ejpam-4745	359	8	equation	equation	NOUN
ejpam-4745	359	9	with	with	ADP
ejpam-4745	359	10	random	random	ADJ
ejpam-4745	359	11	kernel	kernel	NOUN
ejpam-4745	359	12	.	.	PUNCT
ejpam-4745	360	1	far	far	PROPN
ejpam-4745	360	2	east	east	PROPN
ejpam-4745	360	3	j.	j.	PROPN
ejpam-4745	360	4	math	math	PROPN
ejpam-4745	360	5	.	.	PUNCT
ejpam-4745	361	1	sci	sci	PROPN
ejpam-4745	361	2	.	.	PROPN
ejpam-4745	361	3	,	,	PUNCT
ejpam-4745	361	4	100:671–680	100:671–680	NUM
ejpam-4745	361	5	,	,	PUNCT
ejpam-4745	361	6	2016	2016	NUM
ejpam-4745	361	7	.	.	PUNCT
ejpam-4745	362	1	[	[	X
ejpam-4745	362	2	7	7	X
ejpam-4745	362	3	]	]	X
ejpam-4745	362	4	a	a	DET
ejpam-4745	362	5	aghili	aghili	NOUN
ejpam-4745	362	6	and	and	CCONJ
ejpam-4745	362	7	b	b	NOUN
ejpam-4745	362	8	parsa	parsa	ADJ
ejpam-4745	362	9	moghaddam	moghaddam	NOUN
ejpam-4745	362	10	.	.	PUNCT
ejpam-4745	363	1	certain	certain	ADJ
ejpam-4745	363	2	theorems	theorem	NOUN
ejpam-4745	363	3	on	on	ADP
ejpam-4745	363	4	two	two	NUM
ejpam-4745	363	5	dimensional	dimensional	ADJ
ejpam-4745	363	6	laplace	laplace	NOUN
ejpam-4745	363	7	transform	transform	NOUN
ejpam-4745	363	8	and	and	CCONJ
ejpam-4745	363	9	non	non	ADJ
ejpam-4745	363	10	-	-	ADJ
ejpam-4745	363	11	homogeneous	homogeneous	ADJ
ejpam-4745	363	12	parabolic	parabolic	ADJ
ejpam-4745	363	13	partial	partial	ADJ
ejpam-4745	363	14	differential	differential	NOUN
ejpam-4745	363	15	equations	equation	NOUN
ejpam-4745	363	16	.	.	PUNCT
ejpam-4745	364	1	surv	surv	PROPN
ejpam-4745	364	2	.	.	PUNCT
ejpam-4745	365	1	math	math	NOUN
ejpam-4745	365	2	.	.	PUNCT
ejpam-4745	366	1	its	its	PRON
ejpam-4745	366	2	appl	appl	NOUN
ejpam-4745	366	3	.	.	PROPN
ejpam-4745	366	4	,	,	PUNCT
ejpam-4745	366	5	6:165–174	6:165–174	NUM
ejpam-4745	366	6	,	,	PUNCT
ejpam-4745	366	7	2011	2011	NUM
ejpam-4745	366	8	.	.	PUNCT
ejpam-4745	367	1	[	[	X
ejpam-4745	367	2	8	8	NUM
ejpam-4745	367	3	]	]	X
ejpam-4745	367	4	s	s	VERB
ejpam-4745	367	5	ahmed	ahmed	PROPN
ejpam-4745	367	6	and	and	CCONJ
ejpam-4745	367	7	t	t	PROPN
ejpam-4745	367	8	elzaki	elzaki	VERB
ejpam-4745	367	9	.	.	PUNCT
ejpam-4745	368	1	the	the	DET
ejpam-4745	368	2	solution	solution	NOUN
ejpam-4745	368	3	of	of	ADP
ejpam-4745	368	4	nonlinear	nonlinear	PROPN
ejpam-4745	368	5	volterra	volterra	PROPN
ejpam-4745	368	6	integro	integro	PROPN
ejpam-4745	368	7	-	-	PUNCT
ejpam-4745	368	8	differential	differential	NOUN
ejpam-4745	368	9	equations	equation	NOUN
ejpam-4745	368	10	of	of	ADP
ejpam-4745	368	11	second	second	ADJ
ejpam-4745	368	12	kind	kind	NOUN
ejpam-4745	368	13	by	by	ADP
ejpam-4745	368	14	combine	combine	NOUN
ejpam-4745	368	15	sumudu	sumudu	NOUN
ejpam-4745	368	16	transforms	transform	VERB
ejpam-4745	368	17	and	and	CCONJ
ejpam-4745	368	18	adomian	adomian	NOUN
ejpam-4745	368	19	decomposition	decomposition	NOUN
ejpam-4745	368	20	method	method	NOUN
ejpam-4745	368	21	.	.	PUNCT
ejpam-4745	369	1	international	international	ADJ
ejpam-4745	369	2	journal	journal	PROPN
ejpam-4745	369	3	of	of	ADP
ejpam-4745	369	4	advanced	advanced	ADJ
ejpam-4745	369	5	and	and	CCONJ
ejpam-4745	369	6	innovative	innovative	ADJ
ejpam-4745	369	7	research	research	NOUN
ejpam-4745	369	8	,	,	PUNCT
ejpam-4745	369	9	2(12):90–93	2(12):90–93	NUM
ejpam-4745	369	10	,	,	PUNCT
ejpam-4745	369	11	2013	2013	NUM
ejpam-4745	369	12	.	.	PUNCT
ejpam-4745	370	1	[	[	X
ejpam-4745	370	2	9	9	NUM
ejpam-4745	370	3	]	]	X
ejpam-4745	370	4	s	s	VERB
ejpam-4745	370	5	ahmed	ahmed	PROPN
ejpam-4745	370	6	and	and	CCONJ
ejpam-4745	370	7	t	t	PROPN
ejpam-4745	370	8	elzaki	elzaki	VERB
ejpam-4745	370	9	.	.	PUNCT
ejpam-4745	371	1	on	on	ADP
ejpam-4745	371	2	the	the	DET
ejpam-4745	371	3	comparative	comparative	ADJ
ejpam-4745	371	4	study	study	NOUN
ejpam-4745	371	5	integro	integro	PROPN
ejpam-4745	371	6	—	—	PUNCT
ejpam-4745	371	7	differential	differential	ADJ
ejpam-4745	371	8	equations	equation	NOUN
ejpam-4745	371	9	using	use	VERB
ejpam-4745	371	10	difference	difference	NOUN
ejpam-4745	371	11	numerical	numerical	ADJ
ejpam-4745	371	12	methods	method	NOUN
ejpam-4745	371	13	.	.	PUNCT
ejpam-4745	372	1	journal	journal	PROPN
ejpam-4745	372	2	of	of	ADP
ejpam-4745	372	3	king	king	PROPN
ejpam-4745	372	4	saud	saud	PROPN
ejpam-4745	372	5	university	university	PROPN
ejpam-4745	372	6	,	,	PUNCT
ejpam-4745	372	7	32(1):84–89	32(1):84–89	NUM
ejpam-4745	372	8	,	,	PUNCT
ejpam-4745	372	9	2020	2020	NUM
ejpam-4745	372	10	.	.	PUNCT
ejpam-4745	373	1	[	[	X
ejpam-4745	373	2	10	10	NUM
ejpam-4745	373	3	]	]	X
ejpam-4745	373	4	s	s	VERB
ejpam-4745	373	5	alfaqeih	alfaqeih	ADJ
ejpam-4745	373	6	and	and	CCONJ
ejpam-4745	373	7	e	e	NOUN
ejpam-4745	373	8	misirli	misirli	NOUN
ejpam-4745	373	9	.	.	PUNCT
ejpam-4745	374	1	on	on	ADP
ejpam-4745	374	2	double	double	ADJ
ejpam-4745	374	3	shehu	shehu	NOUN
ejpam-4745	374	4	transform	transform	VERB
ejpam-4745	374	5	and	and	CCONJ
ejpam-4745	374	6	its	its	PRON
ejpam-4745	374	7	properties	property	NOUN
ejpam-4745	374	8	with	with	ADP
ejpam-4745	374	9	applications	application	NOUN
ejpam-4745	374	10	.	.	PUNCT
ejpam-4745	375	1	int	int	NOUN
ejpam-4745	375	2	.	.	PUNCT
ejpam-4745	376	1	j.	j.	PROPN
ejpam-4745	376	2	anal	anal	PROPN
ejpam-4745	376	3	.	.	PUNCT
ejpam-4745	377	1	appl	appl	PROPN
ejpam-4745	377	2	.	.	PROPN
ejpam-4745	377	3	,	,	PUNCT
ejpam-4745	378	1	18:381–395	18:381–395	NUM
ejpam-4745	378	2	,	,	PUNCT
ejpam-4745	378	3	2020	2020	NUM
ejpam-4745	378	4	.	.	PUNCT
ejpam-4745	379	1	[	[	X
ejpam-4745	379	2	11	11	NUM
ejpam-4745	379	3	]	]	SYM
ejpam-4745	379	4	l	l	NOUN
ejpam-4745	379	5	debnath	debnath	NOUN
ejpam-4745	379	6	.	.	PUNCT
ejpam-4745	380	1	the	the	DET
ejpam-4745	380	2	double	double	ADJ
ejpam-4745	380	3	laplace	laplace	NOUN
ejpam-4745	380	4	transforms	transform	VERB
ejpam-4745	380	5	and	and	CCONJ
ejpam-4745	380	6	their	their	PRON
ejpam-4745	380	7	properties	property	NOUN
ejpam-4745	380	8	with	with	ADP
ejpam-4745	380	9	applications	application	NOUN
ejpam-4745	380	10	to	to	ADP
ejpam-4745	380	11	functional	functional	ADJ
ejpam-4745	380	12	,	,	PUNCT
ejpam-4745	380	13	integral	integral	ADJ
ejpam-4745	380	14	and	and	CCONJ
ejpam-4745	380	15	partial	partial	ADJ
ejpam-4745	380	16	differential	differential	NOUN
ejpam-4745	380	17	equations	equation	NOUN
ejpam-4745	380	18	.	.	PUNCT
ejpam-4745	381	1	int	int	NOUN
ejpam-4745	381	2	.	.	PUNCT
ejpam-4745	382	1	j.	j.	PROPN
ejpam-4745	382	2	appl	appl	PROPN
ejpam-4745	382	3	.	.	PUNCT
ejpam-4745	383	1	comput	comput	PROPN
ejpam-4745	383	2	.	.	PUNCT
ejpam-4745	384	1	math	math	NOUN
ejpam-4745	384	2	.	.	PUNCT
ejpam-4745	384	3	,	,	PUNCT
ejpam-4745	384	4	2:223–241	2:223–241	PROPN
ejpam-4745	384	5	,	,	PUNCT
ejpam-4745	384	6	2016	2016	NUM
ejpam-4745	384	7	.	.	PUNCT
ejpam-4745	385	1	[	[	X
ejpam-4745	385	2	12	12	NUM
ejpam-4745	385	3	]	]	X
ejpam-4745	385	4	h	h	NOUN
ejpam-4745	385	5	hochstadt	hochstadt	NOUN
ejpam-4745	385	6	.	.	PUNCT
ejpam-4745	386	1	integral	integral	ADJ
ejpam-4745	386	2	equations	equation	NOUN
ejpam-4745	386	3	.	.	PUNCT
ejpam-4745	387	1	john	john	PROPN
ejpam-4745	387	2	wiley	wiley	PROPN
ejpam-4745	387	3	and	and	CCONJ
ejpam-4745	387	4	sons	son	NOUN
ejpam-4745	387	5	,	,	PUNCT
ejpam-4745	387	6	1911	1911	NUM
ejpam-4745	387	7	.	.	PUNCT
ejpam-4745	388	1	[	[	X
ejpam-4745	388	2	13	13	NUM
ejpam-4745	388	3	]	]	SYM
ejpam-4745	388	4	m	m	VERB
ejpam-4745	388	5	i	i	NOUN
ejpam-4745	388	6	idrees	idree	NOUN
ejpam-4745	388	7	,	,	PUNCT
ejpam-4745	388	8	z	z	PROPN
ejpam-4745	388	9	ahmed	ahmed	PROPN
ejpam-4745	388	10	,	,	PUNCT
ejpam-4745	388	11	m	m	PROPN
ejpam-4745	388	12	awais	awais	NOUN
ejpam-4745	388	13	and	and	CCONJ
ejpam-4745	388	14	z	z	NOUN
ejpam-4745	388	15	perveen	perveen	NOUN
ejpam-4745	388	16	.	.	PUNCT
ejpam-4745	389	1	on	on	ADP
ejpam-4745	389	2	the	the	DET
ejpam-4745	389	3	convergence	convergence	NOUN
ejpam-4745	389	4	of	of	ADP
ejpam-4745	389	5	double	double	ADJ
ejpam-4745	389	6	elzaki	elzaki	NOUN
ejpam-4745	389	7	transform	transform	NOUN
ejpam-4745	389	8	.	.	PUNCT
ejpam-4745	390	1	int	int	NOUN
ejpam-4745	390	2	.	.	PUNCT
ejpam-4745	391	1	j.	j.	PROPN
ejpam-4745	391	2	adv	adv	PROPN
ejpam-4745	391	3	.	.	PUNCT
ejpam-4745	391	4	appl	appl	PROPN
ejpam-4745	391	5	.	.	PUNCT
ejpam-4745	392	1	sci	sci	PROPN
ejpam-4745	392	2	.	.	PROPN
ejpam-4745	392	3	,	,	PUNCT
ejpam-4745	392	4	5:19–24	5:19–24	NUM
ejpam-4745	392	5	,	,	PUNCT
ejpam-4745	392	6	2018	2018	NUM
ejpam-4745	392	7	.	.	PUNCT
ejpam-4745	393	1	[	[	X
ejpam-4745	393	2	14	14	NUM
ejpam-4745	393	3	]	]	X
ejpam-4745	393	4	d	d	X
ejpam-4745	393	5	p	p	X
ejpam-4745	393	6	patil	patil	PROPN
ejpam-4745	393	7	.	.	PUNCT
ejpam-4745	394	1	solution	solution	NOUN
ejpam-4745	394	2	of	of	ADP
ejpam-4745	394	3	wave	wave	NOUN
ejpam-4745	394	4	equation	equation	NOUN
ejpam-4745	394	5	by	by	ADP
ejpam-4745	394	6	double	double	ADJ
ejpam-4745	394	7	laplace	laplace	NOUN
ejpam-4745	394	8	and	and	CCONJ
ejpam-4745	394	9	double	double	ADJ
ejpam-4745	394	10	sumudu	sumudu	NOUN
ejpam-4745	394	11	transform	transform	NOUN
ejpam-4745	394	12	.	.	PUNCT
ejpam-4745	395	1	special	special	ADJ
ejpam-4745	395	2	issue	issue	NOUN
ejpam-4745	395	3	ivcims	ivcim	NOUN
ejpam-4745	395	4	,	,	PUNCT
ejpam-4745	395	5	pages	page	NOUN
ejpam-4745	395	6	135–138	135–138	NUM
ejpam-4745	395	7	,	,	PUNCT
ejpam-4745	395	8	2021	2021	NUM
ejpam-4745	395	9	.	.	PUNCT
ejpam-4745	396	1	[	[	X
ejpam-4745	396	2	15	15	NUM
ejpam-4745	396	3	]	]	X
ejpam-4745	396	4	r	r	NOUN
ejpam-4745	396	5	edwan	edwan	NOUN
ejpam-4745	396	6	,	,	PUNCT
ejpam-4745	396	7	r	r	NOUN
ejpam-4745	396	8	saadeh	saadeh	PROPN
ejpam-4745	396	9	,	,	PUNCT
ejpam-4745	396	10	s	s	PROPN
ejpam-4745	396	11	hasan	hasan	PROPN
ejpam-4745	396	12	,	,	PUNCT
ejpam-4745	396	13	m	m	PROPN
ejpam-4745	396	14	alaroud	alaroud	ADJ
ejpam-4745	396	15	and	and	CCONJ
ejpam-4745	396	16	o.	o.	PROPN
ejpam-4745	396	17	abu	abu	PROPN
ejpam-4745	396	18	arqub	arqub	NOUN
ejpam-4745	396	19	.	.	PUNCT
ejpam-4745	397	1	solving	solve	VERB
ejpam-4745	397	2	fractional	fractional	PROPN
ejpam-4745	397	3	volterra	volterra	PROPN
ejpam-4745	397	4	integro	integro	PROPN
ejpam-4745	397	5	-	-	PUNCT
ejpam-4745	397	6	differential	differential	NOUN
ejpam-4745	397	7	equations	equation	NOUN
ejpam-4745	397	8	of	of	ADP
ejpam-4745	397	9	order	order	NOUN
ejpam-4745	397	10	2β	2β	NOUN
ejpam-4745	397	11	using	use	VERB
ejpam-4745	397	12	fractional	fractional	ADJ
ejpam-4745	397	13	power	power	NOUN
ejpam-4745	397	14	series	series	NOUN
ejpam-4745	397	15	method	method	PROPN
ejpam-4745	397	16	.	.	PUNCT
ejpam-4745	398	1	iacmc	iacmc	PROPN
ejpam-4745	398	2	2019	2019	NUM
ejpam-4745	398	3	,	,	PUNCT
ejpam-4745	398	4	page	page	NOUN
ejpam-4745	398	5	164	164	NUM
ejpam-4745	398	6	,	,	PUNCT
ejpam-4745	398	7	2019	2019	NUM
ejpam-4745	398	8	.	.	PUNCT
ejpam-4745	399	1	references	reference	NOUN
ejpam-4745	399	2	933	933	NUM
ejpam-4745	400	1	[	[	X
ejpam-4745	400	2	16	16	NUM
ejpam-4745	400	3	]	]	X
ejpam-4745	400	4	r	r	NOUN
ejpam-4745	400	5	hatamleh	hatamleh	NOUN
ejpam-4745	400	6	,	,	PUNCT
ejpam-4745	400	7	a	a	DET
ejpam-4745	400	8	qazza	qazza	NOUN
ejpam-4745	400	9	and	and	CCONJ
ejpam-4745	400	10	m	m	PROPN
ejpam-4745	400	11	al	al	PROPN
ejpam-4745	400	12	-	-	PUNCT
ejpam-4745	400	13	hawari	hawari	PROPN
ejpam-4745	400	14	.	.	PUNCT
ejpam-4745	401	1	an	an	DET
ejpam-4745	401	2	inversion	inversion	NOUN
ejpam-4745	401	3	of	of	ADP
ejpam-4745	401	4	one	one	NUM
ejpam-4745	401	5	class	class	NOUN
ejpam-4745	401	6	of	of	ADP
ejpam-4745	401	7	integral	integral	ADJ
ejpam-4745	401	8	operator	operator	NOUN
ejpam-4745	401	9	by	by	ADP
ejpam-4745	401	10	la	la	PROPN
ejpam-4745	401	11	sakhnovich	sakhnovich	PROPN
ejpam-4745	401	12	’s	’s	PART
ejpam-4745	401	13	operator	operator	NOUN
ejpam-4745	401	14	identity	identity	NOUN
ejpam-4745	401	15	method	method	NOUN
ejpam-4745	401	16	.	.	PUNCT
ejpam-4745	402	1	studia	studia	PROPN
ejpam-4745	402	2	univ	univ	PROPN
ejpam-4745	402	3	.	.	PUNCT
ejpam-4745	403	1	babes	babe	NOUN
ejpam-4745	403	2	-	-	PUNCT
ejpam-4745	403	3	bolyai	bolyai	NOUN
ejpam-4745	403	4	math	math	NOUN
ejpam-4745	403	5	.	.	PUNCT
ejpam-4745	403	6	,	,	PUNCT
ejpam-4745	403	7	55:119–131	55:119–131	NUM
ejpam-4745	403	8	,	,	PUNCT
ejpam-4745	403	9	2010	2010	NUM
ejpam-4745	403	10	.	.	PUNCT
ejpam-4745	404	1	[	[	X
ejpam-4745	404	2	17	17	NUM
ejpam-4745	404	3	]	]	X
ejpam-4745	404	4	r	r	NOUN
ejpam-4745	404	5	p	p	PROPN
ejpam-4745	404	6	agarwal	agarwal	PROPN
ejpam-4745	404	7	,	,	PUNCT
ejpam-4745	404	8	f	f	PROPN
ejpam-4745	404	9	mofarreh	mofarreh	NOUN
ejpam-4745	404	10	,	,	PUNCT
ejpam-4745	404	11	r	r	NOUN
ejpam-4745	404	12	shah	shah	NOUN
ejpam-4745	404	13	,	,	PUNCT
ejpam-4745	404	14	w	w	PROPN
ejpam-4745	404	15	luangboon	luangboon	PROPN
ejpam-4745	404	16	and	and	CCONJ
ejpam-4745	404	17	k	k	X
ejpam-4745	404	18	nonlaopon	nonlaopon	ADV
ejpam-4745	404	19	.	.	PUNCT
ejpam-4745	405	1	an	an	DET
ejpam-4745	405	2	analytical	analytical	ADJ
ejpam-4745	405	3	technique	technique	NOUN
ejpam-4745	405	4	,	,	PUNCT
ejpam-4745	405	5	based	base	VERB
ejpam-4745	405	6	on	on	ADP
ejpam-4745	405	7	natural	natural	ADJ
ejpam-4745	405	8	transform	transform	NOUN
ejpam-4745	405	9	to	to	PART
ejpam-4745	405	10	solve	solve	VERB
ejpam-4745	405	11	fractional	fractional	ADJ
ejpam-4745	405	12	-	-	PUNCT
ejpam-4745	405	13	order	order	NOUN
ejpam-4745	405	14	parabolic	parabolic	NOUN
ejpam-4745	405	15	equations	equation	NOUN
ejpam-4745	405	16	.	.	PUNCT
ejpam-4745	406	1	entropy	entropy	PROPN
ejpam-4745	406	2	,	,	PUNCT
ejpam-4745	406	3	23(8):1086	23(8):1086	NUM
ejpam-4745	406	4	,	,	PUNCT
ejpam-4745	406	5	2021	2021	NUM
ejpam-4745	406	6	.	.	PUNCT
ejpam-4745	407	1	[	[	X
ejpam-4745	407	2	18	18	NUM
ejpam-4745	407	3	]	]	X
ejpam-4745	407	4	r	r	NOUN
ejpam-4745	407	5	saadeh	saadeh	PROPN
ejpam-4745	407	6	,	,	PUNCT
ejpam-4745	407	7	a	a	DET
ejpam-4745	407	8	qazza	qazza	NOUN
ejpam-4745	407	9	and	and	CCONJ
ejpam-4745	407	10	a	a	DET
ejpam-4745	407	11	burqan	burqan	NOUN
ejpam-4745	407	12	.	.	PUNCT
ejpam-4745	408	1	a	a	DET
ejpam-4745	408	2	new	new	ADJ
ejpam-4745	408	3	integral	integral	ADJ
ejpam-4745	408	4	transform	transform	NOUN
ejpam-4745	408	5	:	:	PUNCT
ejpam-4745	408	6	ara	ara	NOUN
ejpam-4745	408	7	transform	transform	NOUN
ejpam-4745	408	8	and	and	CCONJ
ejpam-4745	408	9	its	its	PRON
ejpam-4745	408	10	properties	property	NOUN
ejpam-4745	408	11	and	and	CCONJ
ejpam-4745	408	12	applications	application	NOUN
ejpam-4745	408	13	.	.	PUNCT
ejpam-4745	409	1	symmetry	symmetry	NOUN
ejpam-4745	409	2	,	,	PUNCT
ejpam-4745	409	3	12:925	12:925	NUM
ejpam-4745	409	4	,	,	PUNCT
ejpam-4745	409	5	2020	2020	NUM
ejpam-4745	409	6	.	.	PUNCT
ejpam-4745	410	1	[	[	X
ejpam-4745	410	2	19	19	NUM
ejpam-4745	410	3	]	]	X
ejpam-4745	410	4	r	r	NOUN
ejpam-4745	410	5	saadeh	saadeh	PROPN
ejpam-4745	410	6	,	,	PUNCT
ejpam-4745	410	7	a	a	DET
ejpam-4745	410	8	qazza	qazza	NOUN
ejpam-4745	410	9	and	and	CCONJ
ejpam-4745	410	10	a	a	DET
ejpam-4745	410	11	burqan	burqan	NOUN
ejpam-4745	410	12	.	.	PUNCT
ejpam-4745	411	1	on	on	ADP
ejpam-4745	411	2	the	the	DET
ejpam-4745	411	3	double	double	ADJ
ejpam-4745	411	4	ara	ara	NOUN
ejpam-4745	411	5	-	-	PUNCT
ejpam-4745	411	6	sumudu	sumudu	NOUN
ejpam-4745	411	7	transform	transform	NOUN
ejpam-4745	411	8	and	and	CCONJ
ejpam-4745	411	9	its	its	PRON
ejpam-4745	411	10	applications	application	NOUN
ejpam-4745	411	11	.	.	PUNCT
ejpam-4745	412	1	mathematics	mathematic	NOUN
ejpam-4745	412	2	,	,	PUNCT
ejpam-4745	412	3	10:2581	10:2581	NUM
ejpam-4745	412	4	,	,	PUNCT
ejpam-4745	412	5	2022	2022	NUM
ejpam-4745	412	6	.	.	PUNCT
ejpam-4745	413	1	[	[	X
ejpam-4745	413	2	20	20	NUM
ejpam-4745	413	3	]	]	X
ejpam-4745	413	4	s	s	VERB
ejpam-4745	413	5	ahmed	ahmed	PROPN
ejpam-4745	413	6	,	,	PUNCT
ejpam-4745	413	7	t	t	PROPN
ejpam-4745	413	8	elzaki	elzaki	PROPN
ejpam-4745	413	9	,	,	PUNCT
ejpam-4745	413	10	m	m	VERB
ejpam-4745	413	11	elbadri	elbadri	ADJ
ejpam-4745	413	12	and	and	CCONJ
ejpam-4745	413	13	m	m	PROPN
ejpam-4745	413	14	z	z	PROPN
ejpam-4745	413	15	mohamed	mohamed	PROPN
ejpam-4745	413	16	.	.	PUNCT
ejpam-4745	414	1	solution	solution	NOUN
ejpam-4745	414	2	of	of	ADP
ejpam-4745	414	3	partial	partial	ADJ
ejpam-4745	414	4	differential	differential	ADJ
ejpam-4745	414	5	equations	equation	NOUN
ejpam-4745	414	6	by	by	ADP
ejpam-4745	414	7	new	new	ADJ
ejpam-4745	414	8	double	double	ADJ
ejpam-4745	414	9	integral	integral	ADJ
ejpam-4745	414	10	transform	transform	NOUN
ejpam-4745	414	11	(	(	PUNCT
ejpam-4745	414	12	laplace	laplace	NOUN
ejpam-4745	414	13	–	–	PUNCT
ejpam-4745	414	14	sumudu	sumudu	NOUN
ejpam-4745	414	15	transform	transform	NOUN
ejpam-4745	414	16	)	)	PUNCT
ejpam-4745	414	17	.	.	PUNCT
ejpam-4745	415	1	ain	ain	PROPN
ejpam-4745	415	2	shams	shams	PROPN
ejpam-4745	415	3	eng	eng	PROPN
ejpam-4745	415	4	.	.	PUNCT
ejpam-4745	416	1	j.	j.	PROPN
ejpam-4745	416	2	,	,	PUNCT
ejpam-4745	416	3	12:4045–4049	12:4045–4049	PROPN
ejpam-4745	416	4	,	,	PUNCT
ejpam-4745	416	5	2021	2021	NUM
ejpam-4745	416	6	.	.	PUNCT
ejpam-4745	417	1	[	[	X
ejpam-4745	417	2	21	21	NUM
ejpam-4745	417	3	]	]	X
ejpam-4745	417	4	s	s	AUX
ejpam-4745	417	5	alfaqeih	alfaqeih	NOUN
ejpam-4745	417	6	,	,	PUNCT
ejpam-4745	417	7	g	g	NOUN
ejpam-4745	417	8	bakıcıerler	bakıcıerler	NOUN
ejpam-4745	417	9	and	and	CCONJ
ejpam-4745	417	10	e	e	NOUN
ejpam-4745	417	11	misirli	misirli	NOUN
ejpam-4745	417	12	.	.	PUNCT
ejpam-4745	418	1	conformable	conformable	ADJ
ejpam-4745	418	2	double	double	ADJ
ejpam-4745	418	3	sumudu	sumudu	NOUN
ejpam-4745	418	4	transform	transform	NOUN
ejpam-4745	418	5	with	with	ADP
ejpam-4745	418	6	applications	application	NOUN
ejpam-4745	418	7	.	.	PUNCT
ejpam-4745	419	1	journal	journal	NOUN
ejpam-4745	419	2	of	of	ADP
ejpam-4745	419	3	applied	applied	ADJ
ejpam-4745	419	4	and	and	CCONJ
ejpam-4745	419	5	computational	computational	ADJ
ejpam-4745	419	6	mechanics	mechanic	NOUN
ejpam-4745	419	7	,	,	PUNCT
ejpam-4745	419	8	7(2):578–586	7(2):578–586	NOUN
ejpam-4745	419	9	,	,	PUNCT
ejpam-4745	419	10	2021	2021	NUM
ejpam-4745	419	11	.	.	PUNCT
ejpam-4745	420	1	[	[	X
ejpam-4745	420	2	22	22	NUM
ejpam-4745	420	3	]	]	X
ejpam-4745	420	4	r	r	NOUN
ejpam-4745	420	5	saadeh	saadeh	PROPN
ejpam-4745	420	6	.	.	PUNCT
ejpam-4745	421	1	application	application	NOUN
ejpam-4745	421	2	of	of	ADP
ejpam-4745	421	3	the	the	DET
ejpam-4745	421	4	ara	ara	PROPN
ejpam-4745	421	5	method	method	NOUN
ejpam-4745	421	6	in	in	ADP
ejpam-4745	421	7	solving	solve	VERB
ejpam-4745	421	8	integro	integro	ADJ
ejpam-4745	421	9	-	-	PUNCT
ejpam-4745	421	10	differential	differential	NOUN
ejpam-4745	421	11	equations	equation	NOUN
ejpam-4745	421	12	in	in	ADP
ejpam-4745	421	13	two	two	NUM
ejpam-4745	421	14	dimensions	dimension	NOUN
ejpam-4745	421	15	.	.	PUNCT
ejpam-4745	422	1	computation	computation	NOUN
ejpam-4745	422	2	,	,	PUNCT
ejpam-4745	422	3	11(1):4	11(1):4	PROPN
ejpam-4745	422	4	,	,	PUNCT
ejpam-4745	422	5	2022	2022	NUM
ejpam-4745	422	6	.	.	PUNCT
ejpam-4745	423	1	[	[	X
ejpam-4745	423	2	23	23	NUM
ejpam-4745	423	3	]	]	X
ejpam-4745	423	4	r	r	NOUN
ejpam-4745	423	5	saadeh	saadeh	NOUN
ejpam-4745	423	6	.	.	PUNCT
ejpam-4745	424	1	applications	application	NOUN
ejpam-4745	424	2	of	of	ADP
ejpam-4745	424	3	double	double	ADJ
ejpam-4745	424	4	ara	ara	ADJ
ejpam-4745	424	5	integral	integral	ADJ
ejpam-4745	424	6	transform	transform	NOUN
ejpam-4745	424	7	.	.	PUNCT
ejpam-4745	425	1	computation	computation	NOUN
ejpam-4745	425	2	,	,	PUNCT
ejpam-4745	425	3	10(12):216	10(12):216	NUM
ejpam-4745	425	4	,	,	PUNCT
ejpam-4745	425	5	2022	2022	NUM
ejpam-4745	425	6	.	.	PUNCT
ejpam-4745	426	1	[	[	X
ejpam-4745	426	2	24	24	NUM
ejpam-4745	426	3	]	]	X
ejpam-4745	426	4	i	i	PROPN
ejpam-4745	426	5	n	n	PROPN
ejpam-4745	426	6	sneddon	sneddon	PROPN
ejpam-4745	426	7	.	.	PUNCT
ejpam-4745	427	1	fourier	fourier	PROPN
ejpam-4745	427	2	transforms	transform	VERB
ejpam-4745	427	3	.	.	PUNCT
ejpam-4745	428	1	dover	dover	PROPN
ejpam-4745	428	2	publications	publication	NOUN
ejpam-4745	428	3	,	,	PUNCT
ejpam-4745	428	4	2010	2010	NUM
ejpam-4745	428	5	.	.	PUNCT
ejpam-4745	429	1	[	[	X
ejpam-4745	429	2	25	25	NUM
ejpam-4745	429	3	]	]	X
ejpam-4745	429	4	d	d	PROPN
ejpam-4745	429	5	verma	verma	PROPN
ejpam-4745	429	6	and	and	CCONJ
ejpam-4745	429	7	a	a	DET
ejpam-4745	429	8	alam	alam	PROPN
ejpam-4745	429	9	.	.	PUNCT
ejpam-4745	430	1	analysis	analysis	NOUN
ejpam-4745	430	2	of	of	ADP
ejpam-4745	430	3	simultaneous	simultaneous	ADJ
ejpam-4745	430	4	differential	differential	ADJ
ejpam-4745	430	5	equations	equation	NOUN
ejpam-4745	430	6	by	by	ADP
ejpam-4745	430	7	elzaki	elzaki	NOUN
ejpam-4745	430	8	transform	transform	NOUN
ejpam-4745	430	9	approach	approach	NOUN
ejpam-4745	430	10	.	.	PUNCT
ejpam-4745	431	1	science	science	NOUN
ejpam-4745	431	2	,	,	PUNCT
ejpam-4745	431	3	technology	technology	NOUN
ejpam-4745	431	4	and	and	CCONJ
ejpam-4745	431	5	development	development	NOUN
ejpam-4745	431	6	,	,	PUNCT
ejpam-4745	431	7	9(1):364–367	9(1):364–367	NUM
ejpam-4745	431	8	,	,	PUNCT
ejpam-4745	431	9	2020	2020	NUM
ejpam-4745	431	10	.	.	PUNCT
ejpam-4745	432	1	[	[	X
ejpam-4745	432	2	26	26	NUM
ejpam-4745	432	3	]	]	PUNCT
ejpam-4745	432	4	a	a	DET
ejpam-4745	432	5	m	m	NOUN
ejpam-4745	432	6	wazwaz	wazwaz	NOUN
ejpam-4745	432	7	.	.	PUNCT
ejpam-4745	433	1	first	first	ADJ
ejpam-4745	433	2	course	course	NOUN
ejpam-4745	433	3	in	in	ADP
ejpam-4745	433	4	integral	integral	ADJ
ejpam-4745	433	5	equations	equation	NOUN
ejpam-4745	433	6	.	.	PUNCT
ejpam-4745	434	1	world	world	NOUN
ejpam-4745	434	2	scientific	scientific	ADJ
ejpam-4745	434	3	publishing	publishing	NOUN
ejpam-4745	434	4	company	company	NOUN
ejpam-4745	434	5	,	,	PUNCT
ejpam-4745	434	6	2015	2015	NUM
ejpam-4745	434	7	.	.	PUNCT
ejpam-4745	435	1	[	[	X
ejpam-4745	435	2	27	27	NUM
ejpam-4745	435	3	]	]	X
ejpam-4745	435	4	d	d	X
ejpam-4745	435	5	v	v	ADP
ejpam-4745	435	6	widder	widder	NOUN
ejpam-4745	435	7	.	.	PUNCT
ejpam-4745	436	1	laplace	laplace	PROPN
ejpam-4745	436	2	transform	transform	PROPN
ejpam-4745	436	3	.	.	PUNCT
ejpam-4745	437	1	princeton	princeton	PROPN
ejpam-4745	437	2	university	university	PROPN
ejpam-4745	437	3	press	press	NOUN
ejpam-4745	437	4	,	,	PUNCT
ejpam-4745	437	5	2015	2015	NUM
ejpam-4745	437	6	.	.	PUNCT
ejpam-4745	438	1	[	[	X
ejpam-4745	438	2	28	28	NUM
ejpam-4745	438	3	]	]	X
ejpam-4745	438	4	z	z	X
ejpam-4745	438	5	ahmed	ahmed	PROPN
ejpam-4745	438	6	,	,	PUNCT
ejpam-4745	438	7	m	m	VERB
ejpam-4745	438	8	i	i	NOUN
ejpam-4745	438	9	idrees	idree	NOUN
ejpam-4745	438	10	,	,	PUNCT
ejpam-4745	438	11	f	f	PROPN
ejpam-4745	438	12	b	b	X
ejpam-4745	438	13	m	m	NOUN
ejpam-4745	438	14	belgacem	belgacem	NOUN
ejpam-4745	438	15	and	and	CCONJ
ejpam-4745	438	16	z	z	NOUN
ejpam-4745	438	17	perveenb	perveenb	NOUN
ejpam-4745	438	18	.	.	PUNCT
ejpam-4745	439	1	on	on	ADP
ejpam-4745	439	2	the	the	DET
ejpam-4745	439	3	convergence	convergence	NOUN
ejpam-4745	439	4	of	of	ADP
ejpam-4745	439	5	double	double	ADJ
ejpam-4745	439	6	sumudu	sumudu	NOUN
ejpam-4745	439	7	transform	transform	NOUN
ejpam-4745	439	8	.	.	PUNCT
ejpam-4745	440	1	j.	j.	PROPN
ejpam-4745	440	2	nonlinear	nonlinear	PROPN
ejpam-4745	440	3	sci	sci	PROPN
ejpam-4745	440	4	.	.	PUNCT
ejpam-4745	440	5	appl	appl	PROPN
ejpam-4745	440	6	.	.	PROPN
ejpam-4745	440	7	,	,	PUNCT
ejpam-4745	440	8	13:154–162	13:154–162	PROPN
ejpam-4745	440	9	,	,	PUNCT
ejpam-4745	440	10	2020	2020	NUM
ejpam-4745	440	11	.	.	PUNCT