id	sid	tid	token	lemma	pos
iajs-3329	1	1	429	429	NUM
iajs-3329	1	2	ihjpas	ihjpa	NOUN
iajs-3329	1	3	.	.	PUNCT
iajs-3329	2	1	37	37	NUM
iajs-3329	2	2	(	(	PUNCT
iajs-3329	2	3	1	1	NUM
iajs-3329	2	4	)	)	PUNCT
iajs-3329	2	5	2024	2024	NUM
iajs-3329	2	6	ibn	ibn	PROPN
iajs-3329	2	7	al	al	PROPN
iajs-3329	2	8	-	-	PUNCT
iajs-3329	2	9	haitham	haitham	PROPN
iajs-3329	2	10	journal	journal	PROPN
iajs-3329	2	11	for	for	ADP
iajs-3329	2	12	pure	pure	ADJ
iajs-3329	2	13	and	and	CCONJ
iajs-3329	2	14	applied	applied	ADJ
iajs-3329	2	15	sciences	sciences	PROPN
iajs-3329	2	16	journal	journal	PROPN
iajs-3329	2	17	homepage	homepage	NOUN
iajs-3329	2	18	:	:	PUNCT
iajs-3329	2	19	jih.uobaghdad.edu.iq	jih.uobaghdad.edu.iq	NOUN
iajs-3329	2	20	pissn	pissn	ADJ
iajs-3329	2	21	:	:	PUNCT
iajs-3329	2	22	1609	1609	NUM
iajs-3329	2	23	-	-	SYM
iajs-3329	2	24	4042	4042	NUM
iajs-3329	2	25	,	,	PUNCT
iajs-3329	2	26	eissn	eissn	NOUN
iajs-3329	2	27	:	:	PUNCT
iajs-3329	2	28	2521	2521	NUM
iajs-3329	2	29	-	-	SYM
iajs-3329	2	30	3407	3407	NUM
iajs-3329	2	31	1ahmad	1ahmad	NUM
iajs-3329	2	32	issa	issa	ADJ
iajs-3329	2	33	*	*	PROPN
iajs-3329	2	34	2emad	2emad	NUM
iajs-3329	2	35	a.	a.	NOUN
iajs-3329	2	36	kuffi	kuffi	NOUN
iajs-3329	2	37	1department	1department	NUM
iajs-3329	2	38	of	of	ADP
iajs-3329	2	39	mathematics	mathematic	NOUN
iajs-3329	2	40	,	,	PUNCT
iajs-3329	2	41	faculty	faculty	NOUN
iajs-3329	2	42	of	of	ADP
iajs-3329	2	43	science	science	NOUN
iajs-3329	2	44	,	,	PUNCT
iajs-3329	2	45	karabuk	karabuk	PROPN
iajs-3329	2	46	university	university	PROPN
iajs-3329	2	47	,	,	PUNCT
iajs-3329	2	48	karabuk	karabuk	PROPN
iajs-3329	2	49	,	,	PUNCT
iajs-3329	2	50	turkey	turkey	PROPN
iajs-3329	2	51	.	.	PUNCT
iajs-3329	3	1	2	2	NUM
iajs-3329	3	2	department	department	NOUN
iajs-3329	3	3	of	of	ADP
iajs-3329	3	4	mathematics	mathematic	NOUN
iajs-3329	3	5	,	,	PUNCT
iajs-3329	3	6	college	college	NOUN
iajs-3329	3	7	of	of	ADP
iajs-3329	3	8	basic	basic	ADJ
iajs-3329	3	9	education	education	NOUN
iajs-3329	3	10	,	,	PUNCT
iajs-3329	3	11	mustansiriyah	mustansiriyah	NOUN
iajs-3329	3	12	university	university	NOUN
iajs-3329	3	13	,	,	PUNCT
iajs-3329	3	14	baghdad	baghdad	PROPN
iajs-3329	3	15	,	,	PUNCT
iajs-3329	3	16	iraq	iraq	PROPN
iajs-3329	3	17	.	.	PUNCT
iajs-3329	4	1	*	*	PUNCT
iajs-3329	4	2	corresponding	correspond	VERB
iajs-3329	4	3	author	author	NOUN
iajs-3329	4	4	:	:	PUNCT
iajs-3329	4	5	ahmad93.issa18@gmail.com	ahmad93.issa18@gmail.com	PROPN
iajs-3329	4	6	abstract	abstract	ADJ
iajs-3329	4	7	due	due	ADP
iajs-3329	4	8	to	to	ADP
iajs-3329	4	9	the	the	DET
iajs-3329	4	10	importance	importance	NOUN
iajs-3329	4	11	of	of	ADP
iajs-3329	4	12	solutions	solution	NOUN
iajs-3329	4	13	of	of	ADP
iajs-3329	4	14	partial	partial	ADJ
iajs-3329	4	15	differential	differential	NOUN
iajs-3329	4	16	equations	equation	NOUN
iajs-3329	4	17	,	,	PUNCT
iajs-3329	4	18	linear	linear	ADJ
iajs-3329	4	19	,	,	PUNCT
iajs-3329	4	20	nonlinear	nonlinear	ADJ
iajs-3329	4	21	,	,	PUNCT
iajs-3329	4	22	homogeneous	homogeneous	ADJ
iajs-3329	4	23	,	,	PUNCT
iajs-3329	4	24	and	and	CCONJ
iajs-3329	4	25	non	non	ADJ
iajs-3329	4	26	-	-	ADJ
iajs-3329	4	27	homogeneous	homogeneous	ADJ
iajs-3329	4	28	,	,	PUNCT
iajs-3329	4	29	in	in	ADP
iajs-3329	4	30	important	important	ADJ
iajs-3329	4	31	life	life	NOUN
iajs-3329	4	32	applications	application	NOUN
iajs-3329	4	33	,	,	PUNCT
iajs-3329	4	34	including	include	VERB
iajs-3329	4	35	engineering	engineering	NOUN
iajs-3329	4	36	applications	application	NOUN
iajs-3329	4	37	,	,	PUNCT
iajs-3329	4	38	physics	physics	NOUN
iajs-3329	4	39	and	and	CCONJ
iajs-3329	4	40	astronomy	astronomy	NOUN
iajs-3329	4	41	,	,	PUNCT
iajs-3329	4	42	medical	medical	ADJ
iajs-3329	4	43	sciences	science	NOUN
iajs-3329	4	44	,	,	PUNCT
iajs-3329	4	45	and	and	CCONJ
iajs-3329	4	46	life	life	NOUN
iajs-3329	4	47	technology	technology	NOUN
iajs-3329	4	48	,	,	PUNCT
iajs-3329	4	49	and	and	CCONJ
iajs-3329	4	50	their	their	PRON
iajs-3329	4	51	importance	importance	NOUN
iajs-3329	4	52	in	in	ADP
iajs-3329	4	53	solutions	solution	NOUN
iajs-3329	4	54	to	to	PART
iajs-3329	4	55	heat	heat	NOUN
iajs-3329	4	56	transfer	transfer	NOUN
iajs-3329	4	57	equations	equation	NOUN
iajs-3329	4	58	,	,	PUNCT
iajs-3329	4	59	wave	wave	NOUN
iajs-3329	4	60	,	,	PUNCT
iajs-3329	4	61	laplace	laplace	NOUN
iajs-3329	4	62	equation	equation	NOUN
iajs-3329	4	63	,	,	PUNCT
iajs-3329	4	64	telegraph	telegraph	NOUN
iajs-3329	4	65	,	,	PUNCT
iajs-3329	4	66	etc	etc	X
iajs-3329	4	67	.	.	X
iajs-3329	5	1	in	in	ADP
iajs-3329	5	2	this	this	DET
iajs-3329	5	3	paper	paper	NOUN
iajs-3329	5	4	,	,	PUNCT
iajs-3329	5	5	a	a	DET
iajs-3329	5	6	new	new	ADJ
iajs-3329	5	7	double	double	ADJ
iajs-3329	5	8	integral	integral	ADJ
iajs-3329	5	9	transform	transform	NOUN
iajs-3329	5	10	has	have	AUX
iajs-3329	5	11	been	be	AUX
iajs-3329	5	12	proposed	propose	VERB
iajs-3329	5	13	.	.	PUNCT
iajs-3329	6	1	in	in	ADP
iajs-3329	6	2	this	this	DET
iajs-3329	6	3	work	work	NOUN
iajs-3329	6	4	,	,	PUNCT
iajs-3329	6	5	we	we	PRON
iajs-3329	6	6	have	have	AUX
iajs-3329	6	7	introduced	introduce	VERB
iajs-3329	6	8	a	a	DET
iajs-3329	6	9	new	new	ADJ
iajs-3329	6	10	double	double	ADJ
iajs-3329	6	11	transform	transform	NOUN
iajs-3329	6	12	(	(	PUNCT
iajs-3329	6	13	double	double	ADJ
iajs-3329	6	14	complex	complex	NOUN
iajs-3329	6	15	ee	ee	NOUN
iajs-3329	6	16	transform	transform	NOUN
iajs-3329	6	17	)	)	PUNCT
iajs-3329	6	18	.	.	PUNCT
iajs-3329	7	1	in	in	ADP
iajs-3329	7	2	addition	addition	NOUN
iajs-3329	7	3	,	,	PUNCT
iajs-3329	7	4	we	we	PRON
iajs-3329	7	5	presented	present	VERB
iajs-3329	7	6	the	the	DET
iajs-3329	7	7	convolution	convolution	NOUN
iajs-3329	7	8	theorem	theorem	NOUN
iajs-3329	7	9	and	and	CCONJ
iajs-3329	7	10	proved	prove	VERB
iajs-3329	7	11	the	the	DET
iajs-3329	7	12	properties	property	NOUN
iajs-3329	7	13	of	of	ADP
iajs-3329	7	14	the	the	DET
iajs-3329	7	15	proposed	propose	VERB
iajs-3329	7	16	transform	transform	NOUN
iajs-3329	7	17	,	,	PUNCT
iajs-3329	7	18	which	which	PRON
iajs-3329	7	19	has	have	VERB
iajs-3329	7	20	an	an	DET
iajs-3329	7	21	effective	effective	ADJ
iajs-3329	7	22	and	and	CCONJ
iajs-3329	7	23	useful	useful	ADJ
iajs-3329	7	24	role	role	NOUN
iajs-3329	7	25	in	in	ADP
iajs-3329	7	26	dealing	deal	VERB
iajs-3329	7	27	with	with	ADP
iajs-3329	7	28	the	the	DET
iajs-3329	7	29	solution	solution	NOUN
iajs-3329	7	30	of	of	ADP
iajs-3329	7	31	twodimensional	twodimensional	ADJ
iajs-3329	7	32	partial	partial	ADJ
iajs-3329	7	33	differential	differential	NOUN
iajs-3329	7	34	equations	equation	NOUN
iajs-3329	7	35	.	.	PUNCT
iajs-3329	8	1	moreover	moreover	ADV
iajs-3329	8	2	,	,	PUNCT
iajs-3329	8	3	two	two	NUM
iajs-3329	8	4	examples	example	NOUN
iajs-3329	8	5	of	of	ADP
iajs-3329	8	6	important	important	ADJ
iajs-3329	8	7	mathematical	mathematical	ADJ
iajs-3329	8	8	equations	equation	NOUN
iajs-3329	8	9	are	be	AUX
iajs-3329	8	10	solved	solve	VERB
iajs-3329	8	11	to	to	PART
iajs-3329	8	12	illustrate	illustrate	VERB
iajs-3329	8	13	method	method	NOUN
iajs-3329	8	14	.	.	PUNCT
iajs-3329	9	1	this	this	DET
iajs-3329	9	2	double	double	ADJ
iajs-3329	9	3	integral	integral	ADJ
iajs-3329	9	4	transformation	transformation	NOUN
iajs-3329	9	5	has	have	VERB
iajs-3329	9	6	a	a	DET
iajs-3329	9	7	complex	complex	ADJ
iajs-3329	9	8	kernel	kernel	NOUN
iajs-3329	9	9	.	.	PUNCT
iajs-3329	10	1	keywords	keyword	NOUN
iajs-3329	10	2	complex	complex	ADJ
iajs-3329	10	3	ee	ee	ADP
iajs-3329	10	4	transform	transform	VERB
iajs-3329	10	5	,	,	PUNCT
iajs-3329	10	6	double	double	ADJ
iajs-3329	10	7	complex	complex	NOUN
iajs-3329	10	8	ee	ee	NOUN
iajs-3329	10	9	transform	transform	NOUN
iajs-3329	10	10	,	,	PUNCT
iajs-3329	10	11	partial	partial	ADJ
iajs-3329	10	12	differential	differential	NOUN
iajs-3329	10	13	equations	equation	NOUN
iajs-3329	10	14	.	.	PUNCT
iajs-3329	11	1	1	1	X
iajs-3329	11	2	.	.	X
iajs-3329	11	3	introduction	introduction	NOUN
iajs-3329	11	4	the	the	DET
iajs-3329	11	5	integral	integral	ADJ
iajs-3329	11	6	transformation	transformation	NOUN
iajs-3329	11	7	is	be	AUX
iajs-3329	11	8	one	one	NUM
iajs-3329	11	9	of	of	ADP
iajs-3329	11	10	the	the	DET
iajs-3329	11	11	important	important	ADJ
iajs-3329	11	12	and	and	CCONJ
iajs-3329	11	13	famous	famous	ADJ
iajs-3329	11	14	topics	topic	NOUN
iajs-3329	11	15	of	of	ADP
iajs-3329	11	16	applied	apply	VERB
iajs-3329	11	17	mathematics	mathematic	NOUN
iajs-3329	12	1	[	[	X
iajs-3329	12	2	1	1	NUM
iajs-3329	12	3	-	-	SYM
iajs-3329	12	4	10	10	NUM
iajs-3329	12	5	]	]	PUNCT
iajs-3329	12	6	.	.	PUNCT
iajs-3329	13	1	in	in	ADP
iajs-3329	13	2	recent	recent	ADJ
iajs-3329	13	3	years	year	NOUN
iajs-3329	13	4	many	many	ADJ
iajs-3329	13	5	researchers	researcher	NOUN
iajs-3329	13	6	have	have	AUX
iajs-3329	13	7	discovered	discover	VERB
iajs-3329	13	8	new	new	ADJ
iajs-3329	13	9	transformations	transformation	NOUN
iajs-3329	13	10	to	to	PART
iajs-3329	13	11	solve	solve	VERB
iajs-3329	13	12	several	several	ADJ
iajs-3329	13	13	problems	problem	NOUN
iajs-3329	13	14	in	in	ADP
iajs-3329	13	15	mathematics	mathematic	NOUN
iajs-3329	13	16	,	,	PUNCT
iajs-3329	13	17	physics	physics	NOUN
iajs-3329	13	18	,	,	PUNCT
iajs-3329	13	19	and	and	CCONJ
iajs-3329	13	20	engineering	engineer	VERB
iajs-3329	13	21	[	[	X
iajs-3329	13	22	11	11	NUM
iajs-3329	13	23	-	-	SYM
iajs-3329	13	24	27	27	NUM
iajs-3329	13	25	]	]	PUNCT
iajs-3329	13	26	.	.	PUNCT
iajs-3329	14	1	[	[	X
iajs-3329	14	2	28	28	NUM
iajs-3329	14	3	]	]	PUNCT
iajs-3329	14	4	have	have	AUX
iajs-3329	14	5	implemented	implement	VERB
iajs-3329	14	6	a	a	DET
iajs-3329	14	7	new	new	ADJ
iajs-3329	14	8	transformation	transformation	NOUN
iajs-3329	14	9	(	(	PUNCT
iajs-3329	14	10	double	double	ADJ
iajs-3329	14	11	aboodh	aboodh	NOUN
iajs-3329	14	12	transform	transform	NOUN
iajs-3329	14	13	)	)	PUNCT
iajs-3329	14	14	for	for	ADP
iajs-3329	14	15	solving	solve	VERB
iajs-3329	14	16	telegraph	telegraph	NOUN
iajs-3329	14	17	equation	equation	NOUN
iajs-3329	14	18	.	.	PUNCT
iajs-3329	15	1	[	[	X
iajs-3329	15	2	29	29	NUM
iajs-3329	15	3	]	]	PUNCT
iajs-3329	15	4	have	have	AUX
iajs-3329	15	5	solved	solve	VERB
iajs-3329	15	6	ordinary	ordinary	ADJ
iajs-3329	15	7	differential	differential	ADJ
iajs-3329	15	8	equations	equation	NOUN
iajs-3329	15	9	by	by	ADP
iajs-3329	15	10	a	a	DET
iajs-3329	15	11	new	new	ADJ
iajs-3329	15	12	transformation	transformation	NOUN
iajs-3329	15	13	(	(	PUNCT
iajs-3329	15	14	complex	complex	ADJ
iajs-3329	15	15	ee	ee	NOUN
iajs-3329	15	16	transform	transform	NOUN
iajs-3329	15	17	)	)	PUNCT
iajs-3329	15	18	.	.	PUNCT
iajs-3329	16	1	in	in	ADP
iajs-3329	16	2	[	[	X
iajs-3329	16	3	30	30	NUM
iajs-3329	16	4	]	]	PUNCT
iajs-3329	16	5	,	,	PUNCT
iajs-3329	16	6	meddahi	meddahi	NOUN
iajs-3329	16	7	and	and	CCONJ
iajs-3329	16	8	jafari	jafari	NOUN
iajs-3329	16	9	,	,	PUNCT
iajs-3329	16	10	introduced	introduce	VERB
iajs-3329	16	11	the	the	DET
iajs-3329	16	12	new	new	ADJ
iajs-3329	16	13	transformation	transformation	NOUN
iajs-3329	16	14	(	(	PUNCT
iajs-3329	16	15	general	general	ADJ
iajs-3329	16	16	double	double	ADJ
iajs-3329	16	17	integral	integral	ADJ
iajs-3329	16	18	transform	transform	NOUN
iajs-3329	16	19	)	)	PUNCT
iajs-3329	16	20	to	to	PART
iajs-3329	16	21	solve	solve	VERB
iajs-3329	16	22	telegraph	telegraph	NOUN
iajs-3329	16	23	and	and	CCONJ
iajs-3329	16	24	klein	klein	PROPN
iajs-3329	16	25	-	-	PUNCT
iajs-3329	16	26	gordon	gordon	PROPN
iajs-3329	16	27	equations	equation	NOUN
iajs-3329	16	28	.	.	PUNCT
iajs-3329	17	1	received	receive	VERB
iajs-3329	17	2	13	13	NUM
iajs-3329	17	3	march	march	NOUN
iajs-3329	17	4	2023	2023	NUM
iajs-3329	17	5	,	,	PUNCT
iajs-3329	17	6	received	receive	VERB
iajs-3329	17	7	23	23	NUM
iajs-3329	17	8	march	march	NOUN
iajs-3329	17	9	2023	2023	NUM
iajs-3329	17	10	,	,	PUNCT
iajs-3329	17	11	accepted	accept	VERB
iajs-3329	17	12	29	29	NUM
iajs-3329	17	13	may	may	PROPN
iajs-3329	17	14	2023	2023	NUM
iajs-3329	17	15	,	,	PUNCT
iajs-3329	17	16	published	publish	VERB
iajs-3329	17	17	20	20	NUM
iajs-3329	17	18	january	january	NOUN
iajs-3329	17	19	2024	2024	NUM
iajs-3329	17	20	on	on	ADP
iajs-3329	17	21	the	the	DET
iajs-3329	17	22	double	double	ADJ
iajs-3329	17	23	integral	integral	ADJ
iajs-3329	17	24	transform	transform	NOUN
iajs-3329	17	25	(	(	PUNCT
iajs-3329	17	26	complex	complex	ADJ
iajs-3329	17	27	ee	ee	NOUN
iajs-3329	17	28	transform	transform	NOUN
iajs-3329	17	29	)	)	PUNCT
iajs-3329	17	30	and	and	CCONJ
iajs-3329	17	31	their	their	PRON
iajs-3329	17	32	applications	application	NOUN
iajs-3329	17	33	doi.org/10.30526/37.1.3329	doi.org/10.30526/37.1.3329	VERB
iajs-3329	17	34	https://jih.uobaghdad.edu.iq/index.php/j/index#1609-4042	https://jih.uobaghdad.edu.iq/index.php/j/index#1609-4042	NOUN
iajs-3329	17	35	https://jih.uobaghdad.edu.iq/index.php/j/index#2521-3407	https://jih.uobaghdad.edu.iq/index.php/j/index#2521-3407	NOUN
iajs-3329	17	36	https://orcid.org/0000-0001-7495-3443	https://orcid.org/0000-0001-7495-3443	NOUN
iajs-3329	17	37	mailto:ahmad93.issa18@gmail.com	mailto:ahmad93.issa18@gmail.com	NOUN
iajs-3329	17	38	https://orcid.org/0009-0004-5254-674x	https://orcid.org/0009-0004-5254-674x	PROPN
iajs-3329	17	39	mailto:emad.kuffi@uomustansiriyah.edu.iq	mailto:emad.kuffi@uomustansiriyah.edu.iq	PROPN
iajs-3329	17	40	ihjpas	ihjpa	NOUN
iajs-3329	17	41	.	.	PUNCT
iajs-3329	18	1	37(1)2024	37(1)2024	NUM
iajs-3329	18	2	430	430	NUM
iajs-3329	18	3	the	the	DET
iajs-3329	18	4	relationship	relationship	NOUN
iajs-3329	18	5	between	between	ADP
iajs-3329	18	6	this	this	DET
iajs-3329	18	7	transform	transform	NOUN
iajs-3329	18	8	and	and	CCONJ
iajs-3329	18	9	the	the	DET
iajs-3329	18	10	two	two	NUM
iajs-3329	18	11	-	-	PUNCT
iajs-3329	18	12	dimensional	dimensional	ADJ
iajs-3329	18	13	laplace	laplace	NOUN
iajs-3329	18	14	transform	transform	NOUN
iajs-3329	18	15	is	be	AUX
iajs-3329	18	16	the	the	DET
iajs-3329	18	17	change	change	NOUN
iajs-3329	18	18	in	in	ADP
iajs-3329	18	19	the	the	DET
iajs-3329	18	20	definition	definition	NOUN
iajs-3329	18	21	of	of	ADP
iajs-3329	18	22	the	the	DET
iajs-3329	18	23	kernel	kernel	NOUN
iajs-3329	18	24	,	,	PUNCT
iajs-3329	18	25	the	the	DET
iajs-3329	18	26	kernel	kernel	NOUN
iajs-3329	18	27	in	in	ADP
iajs-3329	18	28	the	the	DET
iajs-3329	18	29	proposed	propose	VERB
iajs-3329	18	30	transform	transform	NOUN
iajs-3329	18	31	is	be	AUX
iajs-3329	18	32	wider	wide	ADJ
iajs-3329	18	33	than	than	ADP
iajs-3329	18	34	the	the	DET
iajs-3329	18	35	kernel	kernel	NOUN
iajs-3329	18	36	in	in	ADP
iajs-3329	18	37	the	the	DET
iajs-3329	18	38	two	two	NUM
iajs-3329	18	39	-	-	PUNCT
iajs-3329	18	40	dimensional	dimensional	ADJ
iajs-3329	18	41	laplace	laplace	NOUN
iajs-3329	18	42	transform	transform	NOUN
iajs-3329	18	43	.	.	PUNCT
iajs-3329	19	1	2	2	X
iajs-3329	19	2	.	.	X
iajs-3329	19	3	definitions	definition	NOUN
iajs-3329	19	4	and	and	CCONJ
iajs-3329	19	5	properties	property	NOUN
iajs-3329	19	6	of	of	ADP
iajs-3329	19	7	double	double	ADJ
iajs-3329	19	8	complex	complex	NOUN
iajs-3329	19	9	ee	ee	ADP
iajs-3329	19	10	transform	transform	NOUN
iajs-3329	19	11	:	:	PUNCT
iajs-3329	19	12	definition	definition	NOUN
iajs-3329	19	13	2.1	2.1	NUM
iajs-3329	19	14	.	.	PUNCT
iajs-3329	20	1	[	[	X
iajs-3329	20	2	29	29	NUM
iajs-3329	20	3	]	]	PUNCT
iajs-3329	20	4	the	the	DET
iajs-3329	20	5	complex	complex	ADJ
iajs-3329	20	6	ee	ee	PROPN
iajs-3329	20	7	(	(	PUNCT
iajs-3329	20	8	emad	emad	NOUN
iajs-3329	20	9	-	-	PUNCT
iajs-3329	20	10	elaf	elaf	NOUN
iajs-3329	20	11	)	)	PUNCT
iajs-3329	20	12	transform	transform	NOUN
iajs-3329	20	13	of	of	ADP
iajs-3329	20	14	𝑓(𝑡	𝑓(𝑡	NOUN
iajs-3329	20	15	)	)	PUNCT
iajs-3329	20	16	denoted	denote	VERB
iajs-3329	20	17	by	by	ADP
iajs-3329	20	18	the	the	DET
iajs-3329	20	19	operator	operator	NOUN
iajs-3329	20	20	𝐸	𝐸	PROPN
iajs-3329	20	21	is	be	AUX
iajs-3329	20	22	given	give	VERB
iajs-3329	20	23	by	by	ADP
iajs-3329	20	24	:	:	PUNCT
iajs-3329	20	25	𝐸[𝑓(𝑡	𝐸[𝑓(𝑡	ADJ
iajs-3329	20	26	)	)	PUNCT
iajs-3329	20	27	]	]	PUNCT
iajs-3329	21	1	=	=	PUNCT
iajs-3329	21	2	𝐸(𝑖𝑣	𝐸(𝑖𝑣	PROPN
iajs-3329	21	3	)	)	PUNCT
iajs-3329	21	4	=	=	SYM
iajs-3329	22	1	∫	∫	PROPN
iajs-3329	22	2	𝑓(𝑡)𝑒−𝑖𝑣𝑛𝑡	𝑓(𝑡)𝑒−𝑖𝑣𝑛𝑡	PROPN
iajs-3329	22	3	𝑑𝑡	𝑑𝑡	PROPN
iajs-3329	22	4	,	,	PUNCT
iajs-3329	22	5	𝑛	𝑛	DET
iajs-3329	22	6	∈	∈	PROPN
iajs-3329	22	7	𝑍	𝑍	NOUN
iajs-3329	22	8	,	,	PUNCT
iajs-3329	22	9	𝑡	𝑡	X
iajs-3329	22	10	≥	≥	NOUN
iajs-3329	22	11	0	0	NUM
iajs-3329	22	12	,	,	PUNCT
iajs-3329	22	13	𝑖	𝑖	SYM
iajs-3329	22	14	∈	∈	PROPN
iajs-3329	22	15	𝐶	𝐶	PROPN
iajs-3329	22	16	∞	∞	PROPN
iajs-3329	22	17	𝑡=0	𝑡=0	PROPN
iajs-3329	22	18	,	,	PUNCT
iajs-3329	22	19	where	where	SCONJ
iajs-3329	22	20	𝑣	𝑣	PRON
iajs-3329	22	21	is	be	AUX
iajs-3329	22	22	a	a	DET
iajs-3329	22	23	complex	complex	ADJ
iajs-3329	22	24	parameter	parameter	NOUN
iajs-3329	22	25	and	and	CCONJ
iajs-3329	22	26	𝐼𝑚	𝐼𝑚	PROPN
iajs-3329	22	27	(	(	PUNCT
iajs-3329	22	28	𝑣𝑛	𝑣𝑛	NOUN
iajs-3329	22	29	)	)	PUNCT
iajs-3329	22	30	<	<	X
iajs-3329	22	31	0	0	X
iajs-3329	22	32	.	.	PUNCT
iajs-3329	23	1	now	now	ADV
iajs-3329	23	2	,	,	PUNCT
iajs-3329	23	3	we	we	PRON
iajs-3329	23	4	will	will	AUX
iajs-3329	23	5	introduce	introduce	VERB
iajs-3329	23	6	the	the	DET
iajs-3329	23	7	definition	definition	NOUN
iajs-3329	23	8	of	of	ADP
iajs-3329	23	9	the	the	DET
iajs-3329	23	10	double	double	ADJ
iajs-3329	23	11	integral	integral	ADJ
iajs-3329	23	12	transform	transform	NOUN
iajs-3329	23	13	of	of	ADP
iajs-3329	23	14	the	the	DET
iajs-3329	23	15	complex	complex	ADJ
iajs-3329	23	16	ee	ee	NOUN
iajs-3329	23	17	transform	transform	VERB
iajs-3329	23	18	and	and	CCONJ
iajs-3329	23	19	its	its	PRON
iajs-3329	23	20	properties	property	NOUN
iajs-3329	23	21	.	.	PUNCT
iajs-3329	24	1	definition	definition	NOUN
iajs-3329	24	2	2.2	2.2	NUM
iajs-3329	24	3	.	.	PUNCT
iajs-3329	25	1	the	the	DET
iajs-3329	25	2	double	double	ADJ
iajs-3329	25	3	complex	complex	NOUN
iajs-3329	25	4	ee	ee	X
iajs-3329	25	5	transform	transform	NOUN
iajs-3329	25	6	of	of	ADP
iajs-3329	25	7	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	25	8	,	,	PUNCT
iajs-3329	25	9	𝑡	𝑡	NOUN
iajs-3329	25	10	)	)	PUNCT
iajs-3329	25	11	denoted	denote	VERB
iajs-3329	25	12	by	by	ADP
iajs-3329	25	13	the	the	DET
iajs-3329	25	14	operator	operator	NOUN
iajs-3329	25	15	𝐷𝐸𝐸	𝐷𝐸𝐸	PROPN
iajs-3329	25	16	is	be	AUX
iajs-3329	25	17	given	give	VERB
iajs-3329	25	18	by	by	ADP
iajs-3329	25	19	:	:	PUNCT
iajs-3329	25	20	𝐷𝐸𝐸[𝑓(𝑥	𝐷𝐸𝐸[𝑓(𝑥	NOUN
iajs-3329	25	21	,	,	PUNCT
iajs-3329	25	22	𝑡	𝑡	NOUN
iajs-3329	25	23	)	)	PUNCT
iajs-3329	25	24	]	]	PUNCT
iajs-3329	26	1	=	=	PUNCT
iajs-3329	26	2	𝐴(𝑖𝑢	𝐴(𝑖𝑢	PROPN
iajs-3329	26	3	,	,	PUNCT
iajs-3329	26	4	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	26	5	)	)	PUNCT
iajs-3329	26	6	=	=	SYM
iajs-3329	27	1	∫	∫	PROPN
iajs-3329	27	2	∫	∫	PROPN
iajs-3329	27	3	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	27	4	,	,	PUNCT
iajs-3329	27	5	𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	27	6	)	)	PUNCT
iajs-3329	27	7	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	NOUN
iajs-3329	27	8	,	,	PUNCT
iajs-3329	27	9	𝑛	𝑛	DET
iajs-3329	27	10	∈	∈	PROPN
iajs-3329	27	11	𝑍	𝑍	PROPN
iajs-3329	27	12	,	,	PUNCT
iajs-3329	27	13	𝑡	𝑡	NOUN
iajs-3329	27	14	,	,	PUNCT
iajs-3329	27	15	𝑥	𝑥	PRON
iajs-3329	27	16	≥	≥	NOUN
iajs-3329	27	17	0	0	NUM
iajs-3329	27	18	,	,	PUNCT
iajs-3329	27	19	𝑖	𝑖	SYM
iajs-3329	27	20	∈	∈	PROPN
iajs-3329	27	21	𝐶	𝐶	PROPN
iajs-3329	27	22	∞	∞	PROPN
iajs-3329	27	23	0	0	NUM
iajs-3329	28	1	∞	∞	NUM
iajs-3329	28	2	0	0	NUM
iajs-3329	28	3	,	,	PUNCT
iajs-3329	28	4	where	where	SCONJ
iajs-3329	28	5	𝑣	𝑣	NOUN
iajs-3329	28	6	and	and	CCONJ
iajs-3329	28	7	𝑢	𝑢	NOUN
iajs-3329	28	8	are	be	AUX
iajs-3329	28	9	complex	complex	ADJ
iajs-3329	28	10	parameters	parameter	NOUN
iajs-3329	28	11	and	and	CCONJ
iajs-3329	28	12	every	every	DET
iajs-3329	28	13	𝐼𝑚	𝐼𝑚	PROPN
iajs-3329	28	14	(	(	PUNCT
iajs-3329	28	15	𝑣𝑛	𝑣𝑛	NOUN
iajs-3329	28	16	)	)	PUNCT
iajs-3329	28	17	<	<	X
iajs-3329	28	18	0	0	PUNCT
iajs-3329	29	1	and	and	CCONJ
iajs-3329	29	2	𝐼𝑚	𝐼𝑚	PROPN
iajs-3329	29	3	(	(	PUNCT
iajs-3329	29	4	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	29	5	)	)	PUNCT
iajs-3329	29	6	<	<	X
iajs-3329	29	7	0	0	X
iajs-3329	29	8	.	.	PUNCT
iajs-3329	30	1	some	some	DET
iajs-3329	30	2	properties	property	NOUN
iajs-3329	30	3	of	of	ADP
iajs-3329	30	4	the	the	DET
iajs-3329	30	5	double	double	ADJ
iajs-3329	30	6	complex	complex	NOUN
iajs-3329	30	7	ee	ee	NOUN
iajs-3329	30	8	transform	transform	NOUN
iajs-3329	30	9	are	be	AUX
iajs-3329	30	10	as	as	SCONJ
iajs-3329	30	11	follows	follow	VERB
iajs-3329	30	12	i.	i.	NOUN
iajs-3329	30	13	if	if	SCONJ
iajs-3329	30	14	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	30	15	,	,	PUNCT
iajs-3329	30	16	𝑡	𝑡	NOUN
iajs-3329	30	17	)	)	PUNCT
iajs-3329	30	18	=	=	SYM
iajs-3329	30	19	1	1	NUM
iajs-3329	30	20	,	,	PUNCT
iajs-3329	30	21	then	then	ADV
iajs-3329	30	22	𝐷𝐸𝐸[1	𝐷𝐸𝐸[1	PROPN
iajs-3329	30	23	]	]	X
iajs-3329	31	1	=	=	SYM
iajs-3329	31	2	∫	∫	PROPN
iajs-3329	31	3	∫	∫	PROPN
iajs-3329	31	4	1	1	NUM
iajs-3329	31	5	.	.	PUNCT
iajs-3329	31	6	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	31	7	)	)	PUNCT
iajs-3329	31	8	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	31	9	∞	∞	PROPN
iajs-3329	31	10	0	0	NUM
iajs-3329	32	1	∞	∞	NUM
iajs-3329	32	2	0	0	NUM
iajs-3329	33	1	=	=	SYM
iajs-3329	33	2	∫	∫	PROPN
iajs-3329	33	3	1	1	NUM
iajs-3329	33	4	.	.	PUNCT
iajs-3329	33	5	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	33	6	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	33	7	∞	∞	PROPN
iajs-3329	33	8	0	0	NUM
iajs-3329	33	9	∫	∫	PROPN
iajs-3329	33	10	1	1	NUM
iajs-3329	33	11	.	.	PUNCT
iajs-3329	34	1	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	NOUN
iajs-3329	34	2	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	34	3	∞	∞	PROPN
iajs-3329	34	4	0	0	PUNCT
iajs-3329	35	1	=	=	SYM
iajs-3329	35	2	𝐸𝐸[1	𝐸𝐸[1	PROPN
iajs-3329	35	3	]	]	PUNCT
iajs-3329	35	4	.	.	PUNCT
iajs-3329	36	1	𝐸𝐸[1	𝐸𝐸[1	PROPN
iajs-3329	36	2	]	]	X
iajs-3329	37	1	=	=	SYM
iajs-3329	37	2	−𝑖	−𝑖	ADJ
iajs-3329	37	3	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	37	4	.	.	PUNCT
iajs-3329	38	1	−𝑖	−𝑖	PROPN
iajs-3329	38	2	𝑣𝑛	𝑣𝑛	ADP
iajs-3329	38	3	=	=	SYM
iajs-3329	38	4	−1	−1	NOUN
iajs-3329	38	5	(	(	PUNCT
iajs-3329	38	6	𝑢𝑣)𝑛	𝑢𝑣)𝑛	PROPN
iajs-3329	38	7	.	.	PUNCT
iajs-3329	39	1	ii	ii	PROPN
iajs-3329	39	2	.	.	PUNCT
iajs-3329	40	1	if	if	SCONJ
iajs-3329	40	2	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	40	3	,	,	PUNCT
iajs-3329	40	4	𝑡	𝑡	NOUN
iajs-3329	40	5	)	)	PUNCT
iajs-3329	40	6	=	=	NOUN
iajs-3329	40	7	𝑥𝑟𝑡𝑚	𝑥𝑟𝑡𝑚	NOUN
iajs-3329	40	8	,	,	PUNCT
iajs-3329	40	9	then	then	ADV
iajs-3329	40	10	𝐷𝐸𝐸[𝑥𝑟𝑡𝑚	𝐷𝐸𝐸[𝑥𝑟𝑡𝑚	ADP
iajs-3329	40	11	]	]	X
iajs-3329	41	1	=	=	SYM
iajs-3329	41	2	∫	∫	PROPN
iajs-3329	41	3	∫	∫	PROPN
iajs-3329	41	4	𝑥𝑟𝑡𝑚𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑥𝑟𝑡𝑚𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	PROPN
iajs-3329	41	5	)	)	PUNCT
iajs-3329	41	6	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	41	7	∞	∞	PROPN
iajs-3329	41	8	0	0	NUM
iajs-3329	42	1	∞	∞	NUM
iajs-3329	42	2	0	0	NUM
iajs-3329	42	3	=	=	SYM
iajs-3329	42	4	∫	∫	PROPN
iajs-3329	42	5	𝑥𝑟𝑒−𝑖𝑢𝑛𝑥	𝑥𝑟𝑒−𝑖𝑢𝑛𝑥	X
iajs-3329	42	6	𝑑𝑥	𝑑𝑥	ADP
iajs-3329	42	7	∞	∞	PROPN
iajs-3329	42	8	0	0	NUM
iajs-3329	42	9	∫	∫	PROPN
iajs-3329	42	10	𝑡𝑚	𝑡𝑚	NOUN
iajs-3329	42	11	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	PROPN
iajs-3329	42	12	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	42	13	∞	∞	PROPN
iajs-3329	42	14	0	0	NUM
iajs-3329	43	1	=	=	PUNCT
iajs-3329	43	2	𝐸𝐸[𝑥𝑟	𝐸𝐸[𝑥𝑟	ADP
iajs-3329	43	3	]	]	PUNCT
iajs-3329	43	4	.	.	PUNCT
iajs-3329	44	1	𝐸𝐸[𝑡𝑚	𝐸𝐸[𝑡𝑚	NOUN
iajs-3329	44	2	]	]	PUNCT
iajs-3329	44	3	ihjpas	ihjpas	PROPN
iajs-3329	44	4	.	.	PUNCT
iajs-3329	45	1	37	37	NUM
iajs-3329	45	2	(	(	PUNCT
iajs-3329	45	3	1	1	NUM
iajs-3329	45	4	)	)	PUNCT
iajs-3329	45	5	2024	2024	NUM
iajs-3329	45	6	431	431	NUM
iajs-3329	45	7	=	=	SYM
iajs-3329	45	8	𝑟	𝑟	NOUN
iajs-3329	45	9	!	!	PUNCT
iajs-3329	45	10	(	(	PUNCT
iajs-3329	45	11	𝑖𝑢)(𝑟+1)𝑛	𝑖𝑢)(𝑟+1)𝑛	PROPN
iajs-3329	45	12	.	.	PUNCT
iajs-3329	46	1	𝑚	𝑚	X
iajs-3329	46	2	!	!	PUNCT
iajs-3329	47	1	(	(	PUNCT
iajs-3329	47	2	𝑖𝑣)(𝑚+1)𝑛	𝑖𝑣)(𝑚+1)𝑛	PROPN
iajs-3329	47	3	.	.	PUNCT
iajs-3329	48	1	iii	iii	X
iajs-3329	48	2	.	.	PUNCT
iajs-3329	49	1	if	if	SCONJ
iajs-3329	49	2	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	49	3	,	,	PUNCT
iajs-3329	49	4	𝑡	𝑡	NOUN
iajs-3329	49	5	)	)	PUNCT
iajs-3329	49	6	=	=	SYM
iajs-3329	49	7	𝑒𝑎𝑥+𝑏𝑡	𝑒𝑎𝑥+𝑏𝑡	NOUN
iajs-3329	49	8	,	,	PUNCT
iajs-3329	49	9	then	then	ADV
iajs-3329	49	10	𝐷𝐸𝐸[𝑒𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒𝑎𝑥+𝑏𝑡	NOUN
iajs-3329	49	11	]	]	X
iajs-3329	49	12	=	=	SYM
iajs-3329	50	1	∫	∫	PROPN
iajs-3329	50	2	∫	∫	PROPN
iajs-3329	50	3	𝑒𝑎𝑥+𝑏𝑡𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒𝑎𝑥+𝑏𝑡𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	PROPN
iajs-3329	50	4	)	)	PUNCT
iajs-3329	50	5	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	50	6	∞	∞	PROPN
iajs-3329	50	7	0	0	NUM
iajs-3329	51	1	∞	∞	NUM
iajs-3329	51	2	0	0	NUM
iajs-3329	52	1	=	=	SYM
iajs-3329	52	2	∫	∫	PROPN
iajs-3329	52	3	𝑒𝑎𝑥𝑒−𝑖𝑢𝑛𝑥	𝑒𝑎𝑥𝑒−𝑖𝑢𝑛𝑥	NOUN
iajs-3329	52	4	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	52	5	∞	∞	PROPN
iajs-3329	52	6	0	0	NUM
iajs-3329	52	7	∫	∫	PROPN
iajs-3329	52	8	𝑒𝑏𝑡	𝑒𝑏𝑡	NUM
iajs-3329	52	9	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	NOUN
iajs-3329	52	10	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	52	11	∞	∞	PROPN
iajs-3329	52	12	0	0	NUM
iajs-3329	53	1	=	=	PUNCT
iajs-3329	53	2	𝐸𝐸[𝑒𝑎𝑥	𝐸𝐸[𝑒𝑎𝑥	PROPN
iajs-3329	53	3	]	]	PUNCT
iajs-3329	53	4	.	.	PUNCT
iajs-3329	54	1	𝐸𝐸[𝑒𝑏𝑡	𝐸𝐸[𝑒𝑏𝑡	PROPN
iajs-3329	54	2	]	]	X
iajs-3329	55	1	=	=	SYM
iajs-3329	55	2	(	(	PUNCT
iajs-3329	55	3	−1	−1	NOUN
iajs-3329	55	4	)	)	PUNCT
iajs-3329	55	5	[	[	PUNCT
iajs-3329	55	6	𝑎	𝑎	X
iajs-3329	55	7	+	+	CCONJ
iajs-3329	55	8	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	55	9	𝑎2	𝑎2	NOUN
iajs-3329	55	10	+	+	CCONJ
iajs-3329	55	11	𝑢2𝑛	𝑢2𝑛	X
iajs-3329	55	12	]	]	PUNCT
iajs-3329	55	13	.	.	PUNCT
iajs-3329	56	1	(	(	PUNCT
iajs-3329	56	2	−1	−1	NOUN
iajs-3329	56	3	)	)	PUNCT
iajs-3329	56	4	[	[	PUNCT
iajs-3329	56	5	𝑏	𝑏	NOUN
iajs-3329	56	6	+	+	CCONJ
iajs-3329	56	7	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	56	8	𝑏2	𝑏2	PROPN
iajs-3329	56	9	+	+	CCONJ
iajs-3329	56	10	𝑣2𝑛	𝑣2𝑛	PROPN
iajs-3329	56	11	]	]	PUNCT
iajs-3329	56	12	=	=	PUNCT
iajs-3329	56	13	(	(	PUNCT
iajs-3329	56	14	𝑎	𝑎	NOUN
iajs-3329	56	15	+	+	NUM
iajs-3329	56	16	𝑖𝑢𝑛)(𝑏	𝑖𝑢𝑛)(𝑏	NOUN
iajs-3329	56	17	+	+	CCONJ
iajs-3329	56	18	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	56	19	)	)	PUNCT
iajs-3329	56	20	(	(	PUNCT
iajs-3329	56	21	𝑎2	𝑎2	NOUN
iajs-3329	56	22	+	+	CCONJ
iajs-3329	56	23	𝑢2𝑛)(𝑏2	𝑢2𝑛)(𝑏2	X
iajs-3329	56	24	+	+	CCONJ
iajs-3329	56	25	𝑣2𝑛	𝑣2𝑛	NUM
iajs-3329	56	26	)	)	PUNCT
iajs-3329	56	27	.	.	PUNCT
iajs-3329	57	1	iv	iv	X
iajs-3329	57	2	.	.	PUNCT
iajs-3329	58	1	if	if	SCONJ
iajs-3329	58	2	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	58	3	,	,	PUNCT
iajs-3329	58	4	𝑡	𝑡	NOUN
iajs-3329	58	5	)	)	PUNCT
iajs-3329	58	6	=	=	SYM
iajs-3329	58	7	𝑒−(𝑎𝑥+𝑏𝑡	𝑒−(𝑎𝑥+𝑏𝑡	ADJ
iajs-3329	58	8	)	)	PUNCT
iajs-3329	58	9	,	,	PUNCT
iajs-3329	58	10	then	then	ADV
iajs-3329	58	11	𝐷𝐸𝐸[𝑒−(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒−(𝑎𝑥+𝑏𝑡	NOUN
iajs-3329	58	12	)	)	PUNCT
iajs-3329	58	13	]	]	PUNCT
iajs-3329	59	1	=	=	SYM
iajs-3329	59	2	∫	∫	PROPN
iajs-3329	59	3	∫	∫	PROPN
iajs-3329	59	4	𝑒−(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NUM
iajs-3329	59	5	)	)	PUNCT
iajs-3329	59	6	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	59	7	∞	∞	PROPN
iajs-3329	59	8	0	0	NUM
iajs-3329	60	1	∞	∞	NUM
iajs-3329	60	2	0	0	NUM
iajs-3329	61	1	=	=	SYM
iajs-3329	61	2	∫	∫	PROPN
iajs-3329	61	3	𝑒−𝑎𝑥𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑎𝑥𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	61	4	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	61	5	∞	∞	PROPN
iajs-3329	61	6	0	0	NUM
iajs-3329	61	7	∫	∫	PROPN
iajs-3329	61	8	𝑒−𝑏𝑡	𝑒−𝑏𝑡	NOUN
iajs-3329	61	9	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	NOUN
iajs-3329	61	10	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	61	11	∞	∞	PROPN
iajs-3329	61	12	0	0	NUM
iajs-3329	62	1	=	=	PUNCT
iajs-3329	62	2	𝐸𝐸[𝑒−𝑎𝑥	𝐸𝐸[𝑒−𝑎𝑥	NOUN
iajs-3329	62	3	]	]	PUNCT
iajs-3329	62	4	.	.	PUNCT
iajs-3329	63	1	𝐸𝐸[𝑒−𝑏𝑡	𝐸𝐸[𝑒−𝑏𝑡	NOUN
iajs-3329	63	2	]	]	X
iajs-3329	63	3	=	=	SYM
iajs-3329	63	4	(	(	PUNCT
iajs-3329	63	5	−𝑎	−𝑎	NOUN
iajs-3329	63	6	+	+	CCONJ
iajs-3329	63	7	𝑖𝑢𝑛)(−𝑏	𝑖𝑢𝑛)(−𝑏	NOUN
iajs-3329	63	8	+	+	CCONJ
iajs-3329	63	9	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	63	10	)	)	PUNCT
iajs-3329	63	11	(	(	PUNCT
iajs-3329	63	12	𝑎2	𝑎2	NOUN
iajs-3329	63	13	+	+	CCONJ
iajs-3329	63	14	𝑢2𝑛)(𝑏2	𝑢2𝑛)(𝑏2	X
iajs-3329	63	15	+	+	CCONJ
iajs-3329	63	16	𝑣2𝑛	𝑣2𝑛	X
iajs-3329	63	17	)	)	PUNCT
iajs-3329	63	18	=	=	PUNCT
iajs-3329	64	1	(	(	PUNCT
iajs-3329	64	2	𝑎	𝑎	DET
iajs-3329	64	3	−	−	NOUN
iajs-3329	64	4	𝑖𝑢𝑛)(𝑏	𝑖𝑢𝑛)(𝑏	NOUN
iajs-3329	64	5	−	−	PROPN
iajs-3329	64	6	𝑖𝑣𝑛	𝑖𝑣𝑛	NOUN
iajs-3329	64	7	)	)	PUNCT
iajs-3329	64	8	(	(	PUNCT
iajs-3329	64	9	𝑎2	𝑎2	NOUN
iajs-3329	64	10	+	+	CCONJ
iajs-3329	64	11	𝑢2𝑛)(𝑏2	𝑢2𝑛)(𝑏2	X
iajs-3329	64	12	+	+	CCONJ
iajs-3329	64	13	𝑣2𝑛	𝑣2𝑛	NUM
iajs-3329	64	14	)	)	PUNCT
iajs-3329	64	15	.	.	PUNCT
iajs-3329	65	1	v.	v.	INTJ
iajs-3329	65	2	if	if	SCONJ
iajs-3329	65	3	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	65	4	,	,	PUNCT
iajs-3329	65	5	𝑡	𝑡	NOUN
iajs-3329	65	6	)	)	PUNCT
iajs-3329	65	7	=	=	SYM
iajs-3329	65	8	𝑒𝑖(𝑎𝑥+𝑏𝑡	𝑒𝑖(𝑎𝑥+𝑏𝑡	NOUN
iajs-3329	65	9	)	)	PUNCT
iajs-3329	65	10	,	,	PUNCT
iajs-3329	65	11	then	then	ADV
iajs-3329	65	12	𝐷𝐸𝐸[𝑒𝑖(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒𝑖(𝑎𝑥+𝑏𝑡	NOUN
iajs-3329	65	13	)	)	PUNCT
iajs-3329	65	14	]	]	PUNCT
iajs-3329	66	1	=	=	SYM
iajs-3329	66	2	∫	∫	PROPN
iajs-3329	66	3	∫	∫	PROPN
iajs-3329	66	4	𝑒𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	PROPN
iajs-3329	66	5	)	)	PUNCT
iajs-3329	66	6	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	66	7	∞	∞	PROPN
iajs-3329	66	8	0	0	NUM
iajs-3329	67	1	∞	∞	NUM
iajs-3329	67	2	0	0	NUM
iajs-3329	68	1	=	=	SYM
iajs-3329	68	2	∫	∫	PROPN
iajs-3329	68	3	𝑒𝑖𝑎𝑥𝑒−𝑖𝑢𝑛𝑥	𝑒𝑖𝑎𝑥𝑒−𝑖𝑢𝑛𝑥	NOUN
iajs-3329	68	4	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	68	5	∞	∞	PROPN
iajs-3329	68	6	0	0	NUM
iajs-3329	68	7	∫	∫	PROPN
iajs-3329	68	8	𝑒𝑖𝑏𝑡	𝑒𝑖𝑏𝑡	PROPN
iajs-3329	68	9	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	PROPN
iajs-3329	68	10	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	68	11	∞	∞	PROPN
iajs-3329	68	12	0	0	PUNCT
iajs-3329	69	1	=	=	SYM
iajs-3329	69	2	𝐸𝐸[𝑒𝑖𝑎𝑥	𝐸𝐸[𝑒𝑖𝑎𝑥	PROPN
iajs-3329	69	3	]	]	PUNCT
iajs-3329	69	4	.	.	PUNCT
iajs-3329	70	1	𝐸𝐸[𝑒𝑖𝑏𝑡	𝐸𝐸[𝑒𝑖𝑏𝑡	PROPN
iajs-3329	70	2	]	]	X
iajs-3329	71	1	=	=	SYM
iajs-3329	71	2	1	1	NUM
iajs-3329	71	3	𝑖(𝑢𝑛	𝑖(𝑢𝑛	NUM
iajs-3329	71	4	−	−	PROPN
iajs-3329	71	5	𝑎	𝑎	NOUN
iajs-3329	71	6	)	)	PUNCT
iajs-3329	71	7	.	.	PUNCT
iajs-3329	72	1	1	1	NUM
iajs-3329	72	2	𝑖(𝑣𝑛	𝑖(𝑣𝑛	X
iajs-3329	73	1	−	−	PROPN
iajs-3329	74	1	𝑏	𝑏	NOUN
iajs-3329	74	2	)	)	PUNCT
iajs-3329	74	3	=	=	SYM
iajs-3329	74	4	−1	−1	NOUN
iajs-3329	74	5	(	(	PUNCT
iajs-3329	74	6	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	74	7	−	−	PROPN
iajs-3329	74	8	𝑎)(𝑣𝑛	𝑎)(𝑣𝑛	PROPN
iajs-3329	74	9	−	−	PROPN
iajs-3329	74	10	𝑏	𝑏	NOUN
iajs-3329	74	11	)	)	PUNCT
iajs-3329	74	12	.	.	PUNCT
iajs-3329	75	1	ihjpas	ihjpas	PROPN
iajs-3329	75	2	.	.	PUNCT
iajs-3329	76	1	37	37	NUM
iajs-3329	76	2	(	(	PUNCT
iajs-3329	76	3	1	1	NUM
iajs-3329	76	4	)	)	PUNCT
iajs-3329	76	5	2024	2024	NUM
iajs-3329	76	6	432	432	NUM
iajs-3329	76	7	vi	vi	NOUN
iajs-3329	76	8	.	.	PUNCT
iajs-3329	77	1	if	if	SCONJ
iajs-3329	77	2	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	77	3	,	,	PUNCT
iajs-3329	77	4	𝑡	𝑡	NOUN
iajs-3329	77	5	)	)	PUNCT
iajs-3329	77	6	=	=	SYM
iajs-3329	77	7	𝑒−𝑖(𝑎𝑥+𝑏𝑡	𝑒−𝑖(𝑎𝑥+𝑏𝑡	ADJ
iajs-3329	77	8	)	)	PUNCT
iajs-3329	77	9	,	,	PUNCT
iajs-3329	77	10	then	then	ADV
iajs-3329	77	11	𝐷𝐸𝐸[𝑒−𝑖(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒−𝑖(𝑎𝑥+𝑏𝑡	PROPN
iajs-3329	77	12	)	)	PUNCT
iajs-3329	77	13	]	]	PUNCT
iajs-3329	78	1	=	=	PUNCT
iajs-3329	78	2	∫	∫	PROPN
iajs-3329	78	3	∫	∫	PROPN
iajs-3329	78	4	𝑒−𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	PROPN
iajs-3329	78	5	)	)	PUNCT
iajs-3329	78	6	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	78	7	∞	∞	PROPN
iajs-3329	78	8	0	0	NUM
iajs-3329	79	1	∞	∞	NUM
iajs-3329	79	2	0	0	NUM
iajs-3329	80	1	=	=	SYM
iajs-3329	80	2	∫	∫	PROPN
iajs-3329	80	3	𝑒−𝑖𝑎𝑥𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑎𝑥𝑒−𝑖𝑢𝑛𝑥	X
iajs-3329	80	4	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	80	5	∞	∞	PROPN
iajs-3329	80	6	0	0	NUM
iajs-3329	80	7	∫	∫	PROPN
iajs-3329	80	8	𝑒−𝑖𝑏𝑡	𝑒−𝑖𝑏𝑡	PROPN
iajs-3329	80	9	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	PROPN
iajs-3329	80	10	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	80	11	∞	∞	PROPN
iajs-3329	80	12	0	0	NUM
iajs-3329	81	1	=	=	PUNCT
iajs-3329	81	2	𝐸𝐸[𝑒−𝑖𝑎𝑥	𝐸𝐸[𝑒−𝑖𝑎𝑥	NOUN
iajs-3329	81	3	]	]	X
iajs-3329	81	4	.	.	PUNCT
iajs-3329	82	1	𝐸𝐸[𝑒−𝑖𝑏𝑡	𝐸𝐸[𝑒−𝑖𝑏𝑡	PROPN
iajs-3329	82	2	]	]	X
iajs-3329	82	3	=	=	SYM
iajs-3329	82	4	1	1	NUM
iajs-3329	82	5	𝑖(𝑢𝑛	𝑖(𝑢𝑛	NUM
iajs-3329	82	6	+	+	CCONJ
iajs-3329	82	7	𝑎	𝑎	X
iajs-3329	82	8	)	)	PUNCT
iajs-3329	82	9	.	.	PUNCT
iajs-3329	83	1	1	1	NUM
iajs-3329	83	2	𝑖(𝑣𝑛	𝑖(𝑣𝑛	X
iajs-3329	83	3	+	+	CCONJ
iajs-3329	83	4	𝑏	𝑏	NOUN
iajs-3329	83	5	)	)	PUNCT
iajs-3329	83	6	=	=	SYM
iajs-3329	83	7	−1	−1	NOUN
iajs-3329	83	8	(	(	PUNCT
iajs-3329	83	9	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	83	10	+	+	SYM
iajs-3329	83	11	𝑎)(𝑣𝑛	𝑎)(𝑣𝑛	PROPN
iajs-3329	83	12	+	+	CCONJ
iajs-3329	83	13	𝑏	𝑏	NOUN
iajs-3329	83	14	)	)	PUNCT
iajs-3329	83	15	.	.	PUNCT
iajs-3329	84	1	vii	vii	PROPN
iajs-3329	84	2	.	.	PUNCT
iajs-3329	85	1	if	if	SCONJ
iajs-3329	85	2	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	85	3	,	,	PUNCT
iajs-3329	85	4	𝑡	𝑡	NOUN
iajs-3329	85	5	)	)	PUNCT
iajs-3329	85	6	=	=	VERB
iajs-3329	85	7	sin	sin	NOUN
iajs-3329	85	8	(	(	PUNCT
iajs-3329	85	9	𝑎𝑥	𝑎𝑥	X
iajs-3329	85	10	+	+	X
iajs-3329	85	11	𝑏𝑡	𝑏𝑡	NOUN
iajs-3329	85	12	)	)	PUNCT
iajs-3329	85	13	,	,	PUNCT
iajs-3329	85	14	then	then	ADV
iajs-3329	85	15	𝐷𝐸𝐸[sin	𝐷𝐸𝐸[sin	NOUN
iajs-3329	85	16	(	(	PUNCT
iajs-3329	85	17	𝑎𝑥	𝑎𝑥	X
iajs-3329	85	18	+	+	X
iajs-3329	85	19	𝑏𝑡	𝑏𝑡	NOUN
iajs-3329	85	20	)	)	PUNCT
iajs-3329	85	21	]	]	PUNCT
iajs-3329	86	1	=	=	SYM
iajs-3329	86	2	∫	∫	PROPN
iajs-3329	86	3	∫	∫	PROPN
iajs-3329	86	4	sin	sin	NOUN
iajs-3329	86	5	(	(	PUNCT
iajs-3329	86	6	𝑎𝑥	𝑎𝑥	X
iajs-3329	86	7	+	+	CCONJ
iajs-3329	86	8	𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	86	9	)	)	PUNCT
iajs-3329	86	10	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	86	11	∞	∞	PROPN
iajs-3329	86	12	0	0	NUM
iajs-3329	87	1	∞	∞	NUM
iajs-3329	87	2	0	0	NUM
iajs-3329	88	1	=	=	SYM
iajs-3329	88	2	∫	∫	PROPN
iajs-3329	88	3	∫	∫	PROPN
iajs-3329	88	4	(	(	PUNCT
iajs-3329	88	5	𝑒𝑖(𝑎𝑥+𝑏𝑡	𝑒𝑖(𝑎𝑥+𝑏𝑡	NOUN
iajs-3329	88	6	)	)	PUNCT
iajs-3329	88	7	−	−	ADP
iajs-3329	88	8	𝑒−𝑖(𝑎𝑥+𝑏𝑡	𝑒−𝑖(𝑎𝑥+𝑏𝑡	ADJ
iajs-3329	88	9	)	)	PUNCT
iajs-3329	88	10	2𝑖	2𝑖	NOUN
iajs-3329	88	11	)	)	PUNCT
iajs-3329	88	12	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	88	13	)	)	PUNCT
iajs-3329	88	14	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	88	15	∞	∞	PROPN
iajs-3329	88	16	0	0	NUM
iajs-3329	89	1	∞	∞	NUM
iajs-3329	89	2	0	0	NUM
iajs-3329	89	3	=	=	SYM
iajs-3329	89	4	1	1	NUM
iajs-3329	89	5	2𝑖	2𝑖	NOUN
iajs-3329	90	1	[	[	X
iajs-3329	90	2	∫	∫	X
iajs-3329	90	3	∫	∫	PROPN
iajs-3329	90	4	𝑒𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	PROPN
iajs-3329	90	5	)	)	PUNCT
iajs-3329	90	6	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	90	7	∞	∞	PROPN
iajs-3329	90	8	0	0	NUM
iajs-3329	91	1	∞	∞	NUM
iajs-3329	91	2	0	0	NUM
iajs-3329	91	3	]	]	PUNCT
iajs-3329	92	1	−	−	PROPN
iajs-3329	92	2	1	1	NUM
iajs-3329	92	3	2𝑖	2𝑖	NOUN
iajs-3329	93	1	[	[	X
iajs-3329	93	2	∫	∫	X
iajs-3329	93	3	∫	∫	PROPN
iajs-3329	93	4	𝑒−𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	PROPN
iajs-3329	93	5	)	)	PUNCT
iajs-3329	93	6	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	93	7	∞	∞	PROPN
iajs-3329	93	8	0	0	NUM
iajs-3329	94	1	∞	∞	NUM
iajs-3329	94	2	0	0	NUM
iajs-3329	94	3	]	]	PUNCT
iajs-3329	95	1	=	=	PUNCT
iajs-3329	95	2	1	1	NUM
iajs-3329	95	3	2𝑖	2𝑖	NOUN
iajs-3329	96	1	[	[	X
iajs-3329	96	2	𝐷𝐸𝐸[𝑒𝑖(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒𝑖(𝑎𝑥+𝑏𝑡	X
iajs-3329	96	3	)	)	PUNCT
iajs-3329	96	4	]	]	PUNCT
iajs-3329	96	5	−	−	PROPN
iajs-3329	96	6	𝐷𝐸𝐸[𝑒−𝑖(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒−𝑖(𝑎𝑥+𝑏𝑡	PROPN
iajs-3329	96	7	)	)	PUNCT
iajs-3329	96	8	]	]	X
iajs-3329	96	9	]	]	X
iajs-3329	97	1	=	=	SYM
iajs-3329	97	2	1	1	NUM
iajs-3329	97	3	2𝑖	2𝑖	NOUN
iajs-3329	97	4	[	[	PUNCT
iajs-3329	97	5	−1	−1	NOUN
iajs-3329	97	6	(	(	PUNCT
iajs-3329	97	7	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	97	8	−	−	PROPN
iajs-3329	97	9	𝑎)(𝑣𝑛	𝑎)(𝑣𝑛	PROPN
iajs-3329	97	10	−	−	PROPN
iajs-3329	97	11	𝑏	𝑏	NOUN
iajs-3329	97	12	)	)	PUNCT
iajs-3329	97	13	+	+	CCONJ
iajs-3329	97	14	1	1	NUM
iajs-3329	97	15	(	(	PUNCT
iajs-3329	97	16	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	97	17	+	+	SYM
iajs-3329	97	18	𝑎)(𝑣𝑛	𝑎)(𝑣𝑛	PROPN
iajs-3329	97	19	+	+	CCONJ
iajs-3329	97	20	𝑏	𝑏	NOUN
iajs-3329	97	21	)	)	PUNCT
iajs-3329	97	22	]	]	PUNCT
iajs-3329	98	1	=	=	PUNCT
iajs-3329	98	2	𝑖(𝑏𝑢𝑛	𝑖(𝑏𝑢𝑛	PUNCT
iajs-3329	98	3	+	+	X
iajs-3329	98	4	𝑎𝑣𝑛	𝑎𝑣𝑛	ADJ
iajs-3329	98	5	)	)	PUNCT
iajs-3329	98	6	(	(	PUNCT
iajs-3329	98	7	𝑢2𝑛	𝑢2𝑛	PROPN
iajs-3329	98	8	−	−	NUM
iajs-3329	98	9	𝑎2)(𝑣2𝑛	𝑎2)(𝑣2𝑛	PROPN
iajs-3329	98	10	−	−	PROPN
iajs-3329	98	11	𝑏2	𝑏2	PROPN
iajs-3329	98	12	)	)	PUNCT
iajs-3329	98	13	.	.	PUNCT
iajs-3329	99	1	viii	viii	INTJ
iajs-3329	99	2	.	.	PUNCT
iajs-3329	100	1	if	if	SCONJ
iajs-3329	100	2	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	100	3	,	,	PUNCT
iajs-3329	100	4	𝑡	𝑡	NOUN
iajs-3329	100	5	)	)	PUNCT
iajs-3329	100	6	=	=	SYM
iajs-3329	100	7	cos	cos	PROPN
iajs-3329	100	8	(	(	PUNCT
iajs-3329	100	9	𝑎𝑥	𝑎𝑥	X
iajs-3329	100	10	+	+	NOUN
iajs-3329	100	11	𝑏𝑡	𝑏𝑡	NOUN
iajs-3329	100	12	)	)	PUNCT
iajs-3329	100	13	,	,	PUNCT
iajs-3329	100	14	then	then	ADV
iajs-3329	100	15	𝐷𝐸𝐸[cos	𝐷𝐸𝐸[cos	PROPN
iajs-3329	100	16	(	(	PUNCT
iajs-3329	100	17	𝑎𝑥	𝑎𝑥	X
iajs-3329	100	18	+	+	X
iajs-3329	100	19	𝑏𝑡	𝑏𝑡	NOUN
iajs-3329	100	20	)	)	PUNCT
iajs-3329	100	21	]	]	PUNCT
iajs-3329	101	1	=	=	PUNCT
iajs-3329	101	2	∫	∫	PROPN
iajs-3329	101	3	∫	∫	PROPN
iajs-3329	101	4	cos	cos	PROPN
iajs-3329	101	5	(	(	PUNCT
iajs-3329	101	6	𝑎𝑥	𝑎𝑥	X
iajs-3329	101	7	+	+	CCONJ
iajs-3329	101	8	𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	101	9	)	)	PUNCT
iajs-3329	101	10	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	101	11	∞	∞	PROPN
iajs-3329	101	12	0	0	NUM
iajs-3329	102	1	∞	∞	NUM
iajs-3329	102	2	0	0	NUM
iajs-3329	102	3	ihjpas	ihjpas	PROPN
iajs-3329	102	4	.	.	PUNCT
iajs-3329	103	1	37	37	NUM
iajs-3329	103	2	(	(	PUNCT
iajs-3329	103	3	1	1	NUM
iajs-3329	103	4	)	)	PUNCT
iajs-3329	103	5	2024	2024	NUM
iajs-3329	103	6	433	433	NUM
iajs-3329	103	7	=	=	SYM
iajs-3329	103	8	∫	∫	PROPN
iajs-3329	103	9	∫	∫	PROPN
iajs-3329	103	10	(	(	PUNCT
iajs-3329	103	11	𝑒𝑖(𝑎𝑥+𝑏𝑡	𝑒𝑖(𝑎𝑥+𝑏𝑡	NOUN
iajs-3329	103	12	)	)	PUNCT
iajs-3329	103	13	+	+	CCONJ
iajs-3329	103	14	𝑒−𝑖(𝑎𝑥+𝑏𝑡	𝑒−𝑖(𝑎𝑥+𝑏𝑡	ADJ
iajs-3329	103	15	)	)	PUNCT
iajs-3329	103	16	2	2	NUM
iajs-3329	103	17	)	)	PUNCT
iajs-3329	103	18	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	103	19	)	)	PUNCT
iajs-3329	103	20	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	103	21	∞	∞	PROPN
iajs-3329	103	22	0	0	NUM
iajs-3329	104	1	∞	∞	NUM
iajs-3329	104	2	0	0	NUM
iajs-3329	104	3	=	=	SYM
iajs-3329	104	4	1	1	NUM
iajs-3329	104	5	2	2	NUM
iajs-3329	105	1	[	[	X
iajs-3329	105	2	∫	∫	PROPN
iajs-3329	105	3	∫	∫	PROPN
iajs-3329	105	4	𝑒𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	PROPN
iajs-3329	105	5	)	)	PUNCT
iajs-3329	105	6	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	105	7	∞	∞	PROPN
iajs-3329	105	8	0	0	NUM
iajs-3329	106	1	∞	∞	NUM
iajs-3329	106	2	0	0	NUM
iajs-3329	106	3	]	]	PUNCT
iajs-3329	107	1	+	+	CCONJ
iajs-3329	107	2	1	1	NUM
iajs-3329	107	3	2	2	NUM
iajs-3329	107	4	[	[	X
iajs-3329	107	5	∫	∫	PROPN
iajs-3329	107	6	∫	∫	PROPN
iajs-3329	107	7	𝑒−𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	PROPN
iajs-3329	107	8	)	)	PUNCT
iajs-3329	107	9	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	107	10	∞	∞	PROPN
iajs-3329	107	11	0	0	NUM
iajs-3329	108	1	∞	∞	NUM
iajs-3329	108	2	0	0	NUM
iajs-3329	108	3	]	]	PUNCT
iajs-3329	109	1	=	=	SYM
iajs-3329	109	2	1	1	NUM
iajs-3329	109	3	2	2	NUM
iajs-3329	109	4	[	[	X
iajs-3329	109	5	𝐷𝐸𝐸[𝑒𝑖(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒𝑖(𝑎𝑥+𝑏𝑡	ADJ
iajs-3329	109	6	)	)	PUNCT
iajs-3329	109	7	]	]	PUNCT
iajs-3329	110	1	+	+	PUNCT
iajs-3329	110	2	𝐷𝐸𝐸[𝑒−𝑖(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒−𝑖(𝑎𝑥+𝑏𝑡	NOUN
iajs-3329	110	3	)	)	PUNCT
iajs-3329	110	4	]	]	X
iajs-3329	110	5	]	]	X
iajs-3329	111	1	=	=	SYM
iajs-3329	111	2	1	1	NUM
iajs-3329	111	3	2	2	NUM
iajs-3329	111	4	[	[	PUNCT
iajs-3329	111	5	−1	−1	NOUN
iajs-3329	111	6	(	(	PUNCT
iajs-3329	111	7	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	111	8	−	−	PROPN
iajs-3329	111	9	𝑎)(𝑣𝑛	𝑎)(𝑣𝑛	PROPN
iajs-3329	111	10	−	−	PROPN
iajs-3329	111	11	𝑏	𝑏	NOUN
iajs-3329	111	12	)	)	PUNCT
iajs-3329	111	13	+	+	NUM
iajs-3329	111	14	−1	−1	NOUN
iajs-3329	111	15	(	(	PUNCT
iajs-3329	111	16	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	111	17	+	+	SYM
iajs-3329	111	18	𝑎)(𝑣𝑛	𝑎)(𝑣𝑛	PROPN
iajs-3329	111	19	+	+	CCONJ
iajs-3329	111	20	𝑏	𝑏	NOUN
iajs-3329	111	21	)	)	PUNCT
iajs-3329	111	22	]	]	PUNCT
iajs-3329	112	1	=	=	PUNCT
iajs-3329	112	2	−((𝑢𝑣)𝑛	−((𝑢𝑣)𝑛	PROPN
iajs-3329	112	3	+	+	NUM
iajs-3329	112	4	𝑎𝑏	𝑎𝑏	X
iajs-3329	112	5	)	)	PUNCT
iajs-3329	112	6	(	(	PUNCT
iajs-3329	112	7	𝑢2𝑛	𝑢2𝑛	PROPN
iajs-3329	112	8	−	−	NUM
iajs-3329	112	9	𝑎2)(𝑣2𝑛	𝑎2)(𝑣2𝑛	PROPN
iajs-3329	112	10	−	−	PROPN
iajs-3329	112	11	𝑏2	𝑏2	NOUN
iajs-3329	112	12	)	)	PUNCT
iajs-3329	112	13	.	.	PUNCT
iajs-3329	113	1	ix	ix	INTJ
iajs-3329	113	2	.	.	PUNCT
iajs-3329	114	1	if	if	SCONJ
iajs-3329	114	2	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	114	3	,	,	PUNCT
iajs-3329	114	4	𝑡	𝑡	NOUN
iajs-3329	114	5	)	)	PUNCT
iajs-3329	114	6	=	=	VERB
iajs-3329	114	7	sinh	sinh	NOUN
iajs-3329	114	8	(	(	PUNCT
iajs-3329	114	9	𝑎𝑥	𝑎𝑥	X
iajs-3329	114	10	+	+	X
iajs-3329	114	11	𝑏𝑡	𝑏𝑡	NOUN
iajs-3329	114	12	)	)	PUNCT
iajs-3329	114	13	,	,	PUNCT
iajs-3329	114	14	then	then	ADV
iajs-3329	114	15	𝐷𝐸𝐸[sinh	𝐷𝐸𝐸[sinh	INTJ
iajs-3329	114	16	(	(	PUNCT
iajs-3329	114	17	𝑎𝑥	𝑎𝑥	X
iajs-3329	114	18	+	+	X
iajs-3329	114	19	𝑏𝑡	𝑏𝑡	NOUN
iajs-3329	114	20	)	)	PUNCT
iajs-3329	114	21	]	]	PUNCT
iajs-3329	114	22	=	=	SYM
iajs-3329	114	23	∫	∫	PROPN
iajs-3329	114	24	∫	∫	PROPN
iajs-3329	114	25	sinh	sinh	PROPN
iajs-3329	114	26	(	(	PUNCT
iajs-3329	114	27	𝑎𝑥	𝑎𝑥	X
iajs-3329	114	28	+	+	CCONJ
iajs-3329	114	29	𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	114	30	)	)	PUNCT
iajs-3329	114	31	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	114	32	∞	∞	PROPN
iajs-3329	114	33	0	0	NUM
iajs-3329	115	1	∞	∞	NUM
iajs-3329	115	2	0	0	NUM
iajs-3329	116	1	=	=	SYM
iajs-3329	116	2	∫	∫	PROPN
iajs-3329	116	3	∫	∫	PROPN
iajs-3329	116	4	(	(	PUNCT
iajs-3329	116	5	𝑒(𝑎𝑥+𝑏𝑡	𝑒(𝑎𝑥+𝑏𝑡	PROPN
iajs-3329	116	6	)	)	PUNCT
iajs-3329	116	7	−	−	PROPN
iajs-3329	117	1	𝑒−(𝑎𝑥+𝑏𝑡	𝑒−(𝑎𝑥+𝑏𝑡	ADJ
iajs-3329	117	2	)	)	PUNCT
iajs-3329	117	3	2	2	NUM
iajs-3329	117	4	)	)	PUNCT
iajs-3329	117	5	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	117	6	)	)	PUNCT
iajs-3329	117	7	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	117	8	∞	∞	PROPN
iajs-3329	117	9	0	0	NUM
iajs-3329	118	1	∞	∞	NUM
iajs-3329	118	2	0	0	NUM
iajs-3329	118	3	=	=	SYM
iajs-3329	118	4	1	1	NUM
iajs-3329	118	5	2	2	NUM
iajs-3329	119	1	[	[	X
iajs-3329	119	2	∫	∫	PROPN
iajs-3329	119	3	∫	∫	PROPN
iajs-3329	119	4	𝑒(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	PROPN
iajs-3329	119	5	)	)	PUNCT
iajs-3329	119	6	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	119	7	∞	∞	PROPN
iajs-3329	119	8	0	0	NUM
iajs-3329	120	1	∞	∞	NUM
iajs-3329	120	2	0	0	NUM
iajs-3329	120	3	]	]	PUNCT
iajs-3329	120	4	−	−	PROPN
iajs-3329	120	5	1	1	NUM
iajs-3329	120	6	2	2	NUM
iajs-3329	120	7	[	[	X
iajs-3329	120	8	∫	∫	PROPN
iajs-3329	120	9	∫	∫	PROPN
iajs-3329	120	10	𝑒−(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NUM
iajs-3329	120	11	)	)	PUNCT
iajs-3329	120	12	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	120	13	∞	∞	PROPN
iajs-3329	120	14	0	0	NUM
iajs-3329	121	1	∞	∞	NUM
iajs-3329	121	2	0	0	NUM
iajs-3329	121	3	]	]	PUNCT
iajs-3329	122	1	=	=	SYM
iajs-3329	122	2	1	1	NUM
iajs-3329	122	3	2	2	NUM
iajs-3329	122	4	[	[	X
iajs-3329	122	5	𝐷𝐸𝐸[𝑒(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒(𝑎𝑥+𝑏𝑡	ADJ
iajs-3329	122	6	)	)	PUNCT
iajs-3329	122	7	]	]	PUNCT
iajs-3329	122	8	−	−	PROPN
iajs-3329	122	9	𝐷𝐸𝐸[𝑒−(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒−(𝑎𝑥+𝑏𝑡	NOUN
iajs-3329	122	10	)	)	PUNCT
iajs-3329	122	11	]	]	X
iajs-3329	122	12	]	]	X
iajs-3329	122	13	=	=	SYM
iajs-3329	122	14	1	1	NUM
iajs-3329	122	15	2	2	NUM
iajs-3329	122	16	[	[	PUNCT
iajs-3329	122	17	(	(	PUNCT
iajs-3329	122	18	𝑎	𝑎	NOUN
iajs-3329	122	19	+	+	NUM
iajs-3329	122	20	𝑖𝑢𝑛)(𝑏	𝑖𝑢𝑛)(𝑏	NOUN
iajs-3329	122	21	+	+	CCONJ
iajs-3329	122	22	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	122	23	)	)	PUNCT
iajs-3329	122	24	(	(	PUNCT
iajs-3329	122	25	𝑎2	𝑎2	NOUN
iajs-3329	122	26	+	+	CCONJ
iajs-3329	122	27	𝑢2𝑛)(𝑏2	𝑢2𝑛)(𝑏2	X
iajs-3329	122	28	+	+	CCONJ
iajs-3329	122	29	𝑣2𝑛	𝑣2𝑛	NUM
iajs-3329	122	30	)	)	PUNCT
iajs-3329	122	31	−	−	PROPN
iajs-3329	123	1	(	(	PUNCT
iajs-3329	123	2	𝑎	𝑎	DET
iajs-3329	123	3	−	−	NOUN
iajs-3329	123	4	𝑖𝑢𝑛)(𝑏	𝑖𝑢𝑛)(𝑏	NOUN
iajs-3329	123	5	−	−	PROPN
iajs-3329	123	6	𝑖𝑣𝑛	𝑖𝑣𝑛	NOUN
iajs-3329	123	7	)	)	PUNCT
iajs-3329	123	8	(	(	PUNCT
iajs-3329	123	9	𝑎2	𝑎2	NOUN
iajs-3329	123	10	+	+	CCONJ
iajs-3329	123	11	𝑢2𝑛)(𝑏2	𝑢2𝑛)(𝑏2	X
iajs-3329	123	12	+	+	CCONJ
iajs-3329	123	13	𝑣2𝑛	𝑣2𝑛	NUM
iajs-3329	123	14	)	)	PUNCT
iajs-3329	123	15	]	]	PUNCT
iajs-3329	124	1	=	=	PUNCT
iajs-3329	124	2	𝑖(𝑎𝑣𝑛	𝑖(𝑎𝑣𝑛	X
iajs-3329	124	3	+	+	CCONJ
iajs-3329	124	4	𝑏𝑢𝑛	𝑏𝑢𝑛	NOUN
iajs-3329	124	5	)	)	PUNCT
iajs-3329	124	6	(	(	PUNCT
iajs-3329	124	7	𝑎2	𝑎2	NOUN
iajs-3329	124	8	+	+	CCONJ
iajs-3329	124	9	𝑢2𝑛)(𝑏2	𝑢2𝑛)(𝑏2	X
iajs-3329	124	10	+	+	CCONJ
iajs-3329	124	11	𝑣2𝑛	𝑣2𝑛	NUM
iajs-3329	124	12	)	)	PUNCT
iajs-3329	124	13	.	.	PUNCT
iajs-3329	125	1	x.	x.	NOUN
iajs-3329	126	1	if	if	SCONJ
iajs-3329	126	2	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	126	3	,	,	PUNCT
iajs-3329	126	4	𝑡	𝑡	NOUN
iajs-3329	126	5	)	)	PUNCT
iajs-3329	126	6	=	=	SYM
iajs-3329	126	7	cosh	cosh	NOUN
iajs-3329	126	8	(	(	PUNCT
iajs-3329	126	9	𝑎𝑥	𝑎𝑥	X
iajs-3329	126	10	+	+	X
iajs-3329	126	11	𝑏𝑡	𝑏𝑡	NOUN
iajs-3329	126	12	)	)	PUNCT
iajs-3329	126	13	,	,	PUNCT
iajs-3329	126	14	then	then	ADV
iajs-3329	126	15	𝐷𝐸𝐸[cosh	𝐷𝐸𝐸[cosh	PROPN
iajs-3329	126	16	(	(	PUNCT
iajs-3329	126	17	𝑎𝑥	𝑎𝑥	X
iajs-3329	126	18	+	+	X
iajs-3329	126	19	𝑏𝑡	𝑏𝑡	NOUN
iajs-3329	126	20	)	)	PUNCT
iajs-3329	126	21	]	]	PUNCT
iajs-3329	127	1	=	=	SYM
iajs-3329	127	2	∫	∫	PROPN
iajs-3329	127	3	∫	∫	PROPN
iajs-3329	127	4	cosh	cosh	PROPN
iajs-3329	127	5	(	(	PUNCT
iajs-3329	127	6	𝑎𝑥	𝑎𝑥	X
iajs-3329	127	7	+	+	CCONJ
iajs-3329	127	8	𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	127	9	)	)	PUNCT
iajs-3329	127	10	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	127	11	∞	∞	PROPN
iajs-3329	127	12	0	0	NUM
iajs-3329	128	1	∞	∞	NUM
iajs-3329	128	2	0	0	NUM
iajs-3329	129	1	=	=	SYM
iajs-3329	129	2	∫	∫	PROPN
iajs-3329	129	3	∫	∫	PROPN
iajs-3329	129	4	(	(	PUNCT
iajs-3329	129	5	𝑒(𝑎𝑥+𝑏𝑡	𝑒(𝑎𝑥+𝑏𝑡	PROPN
iajs-3329	129	6	)	)	PUNCT
iajs-3329	129	7	+	+	PUNCT
iajs-3329	129	8	𝑒−(𝑎𝑥+𝑏𝑡	𝑒−(𝑎𝑥+𝑏𝑡	ADJ
iajs-3329	129	9	)	)	PUNCT
iajs-3329	129	10	2	2	NUM
iajs-3329	129	11	)	)	PUNCT
iajs-3329	129	12	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	129	13	)	)	PUNCT
iajs-3329	129	14	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	129	15	∞	∞	PROPN
iajs-3329	129	16	0	0	NUM
iajs-3329	130	1	∞	∞	NUM
iajs-3329	130	2	0	0	NUM
iajs-3329	130	3	ihjpas	ihjpas	PROPN
iajs-3329	130	4	.	.	PUNCT
iajs-3329	131	1	37	37	NUM
iajs-3329	131	2	(	(	PUNCT
iajs-3329	131	3	1	1	NUM
iajs-3329	131	4	)	)	PUNCT
iajs-3329	131	5	2024	2024	NUM
iajs-3329	131	6	434	434	NUM
iajs-3329	131	7	=	=	SYM
iajs-3329	131	8	1	1	NUM
iajs-3329	131	9	2	2	NUM
iajs-3329	131	10	[	[	X
iajs-3329	131	11	∫	∫	PROPN
iajs-3329	131	12	∫	∫	PROPN
iajs-3329	131	13	𝑒(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	PROPN
iajs-3329	131	14	)	)	PUNCT
iajs-3329	131	15	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	131	16	∞	∞	PROPN
iajs-3329	131	17	0	0	NUM
iajs-3329	132	1	∞	∞	NUM
iajs-3329	132	2	0	0	NUM
iajs-3329	132	3	]	]	PUNCT
iajs-3329	133	1	+	+	CCONJ
iajs-3329	133	2	1	1	NUM
iajs-3329	133	3	2	2	NUM
iajs-3329	133	4	[	[	X
iajs-3329	133	5	∫	∫	PROPN
iajs-3329	133	6	∫	∫	PROPN
iajs-3329	133	7	𝑒−(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−(𝑎𝑥+𝑏𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NUM
iajs-3329	133	8	)	)	PUNCT
iajs-3329	133	9	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	133	10	∞	∞	PROPN
iajs-3329	133	11	0	0	NUM
iajs-3329	134	1	∞	∞	NUM
iajs-3329	134	2	0	0	NUM
iajs-3329	134	3	]	]	PUNCT
iajs-3329	135	1	=	=	SYM
iajs-3329	135	2	1	1	NUM
iajs-3329	135	3	2	2	NUM
iajs-3329	135	4	[	[	X
iajs-3329	135	5	𝐷𝐸𝐸[𝑒(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒(𝑎𝑥+𝑏𝑡	ADJ
iajs-3329	135	6	)	)	PUNCT
iajs-3329	135	7	]	]	PUNCT
iajs-3329	136	1	+	+	PUNCT
iajs-3329	136	2	𝐷𝐸𝐸[𝑒−(𝑎𝑥+𝑏𝑡	𝐷𝐸𝐸[𝑒−(𝑎𝑥+𝑏𝑡	NOUN
iajs-3329	136	3	)	)	PUNCT
iajs-3329	136	4	]	]	X
iajs-3329	136	5	]	]	X
iajs-3329	136	6	=	=	SYM
iajs-3329	136	7	1	1	NUM
iajs-3329	136	8	2	2	NUM
iajs-3329	136	9	[	[	PUNCT
iajs-3329	136	10	(	(	PUNCT
iajs-3329	136	11	𝑎	𝑎	NOUN
iajs-3329	136	12	+	+	NUM
iajs-3329	136	13	𝑖𝑢𝑛)(𝑏	𝑖𝑢𝑛)(𝑏	NOUN
iajs-3329	136	14	+	+	CCONJ
iajs-3329	136	15	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	136	16	)	)	PUNCT
iajs-3329	136	17	(	(	PUNCT
iajs-3329	136	18	𝑎2	𝑎2	NOUN
iajs-3329	136	19	+	+	CCONJ
iajs-3329	136	20	𝑢2𝑛)(𝑏2	𝑢2𝑛)(𝑏2	X
iajs-3329	136	21	+	+	X
iajs-3329	136	22	𝑣2𝑛	𝑣2𝑛	NUM
iajs-3329	136	23	)	)	PUNCT
iajs-3329	136	24	+	+	CCONJ
iajs-3329	136	25	(	(	PUNCT
iajs-3329	136	26	𝑎	𝑎	DET
iajs-3329	136	27	−	−	NOUN
iajs-3329	136	28	𝑖𝑢𝑛)(𝑏	𝑖𝑢𝑛)(𝑏	NOUN
iajs-3329	136	29	−	−	PROPN
iajs-3329	136	30	𝑖𝑣𝑛	𝑖𝑣𝑛	NOUN
iajs-3329	136	31	)	)	PUNCT
iajs-3329	136	32	(	(	PUNCT
iajs-3329	136	33	𝑎2	𝑎2	NOUN
iajs-3329	136	34	+	+	CCONJ
iajs-3329	136	35	𝑢2𝑛)(𝑏2	𝑢2𝑛)(𝑏2	X
iajs-3329	136	36	+	+	CCONJ
iajs-3329	136	37	𝑣2𝑛	𝑣2𝑛	NUM
iajs-3329	136	38	)	)	PUNCT
iajs-3329	136	39	]	]	PUNCT
iajs-3329	137	1	=	=	PUNCT
iajs-3329	137	2	𝑎𝑏	𝑎𝑏	X
iajs-3329	137	3	−	−	PROPN
iajs-3329	137	4	(	(	PUNCT
iajs-3329	137	5	𝑢𝑣)𝑛	𝑢𝑣)𝑛	PROPN
iajs-3329	137	6	(	(	PUNCT
iajs-3329	137	7	𝑎2	𝑎2	NOUN
iajs-3329	137	8	+	+	CCONJ
iajs-3329	137	9	𝑢2𝑛)(𝑏2	𝑢2𝑛)(𝑏2	X
iajs-3329	137	10	+	+	CCONJ
iajs-3329	137	11	𝑣2𝑛	𝑣2𝑛	NUM
iajs-3329	137	12	)	)	PUNCT
iajs-3329	137	13	.	.	PUNCT
iajs-3329	138	1	3	3	X
iajs-3329	138	2	.	.	X
iajs-3329	138	3	(	(	PUNCT
iajs-3329	138	4	convolution	convolution	NOUN
iajs-3329	138	5	theorem	theorem	VERB
iajs-3329	138	6	)	)	PUNCT
iajs-3329	138	7	:	:	PUNCT
iajs-3329	138	8	if	if	SCONJ
iajs-3329	138	9	𝐷𝐸𝐸[𝑓(𝑥	𝐷𝐸𝐸[𝑓(𝑥	NOUN
iajs-3329	138	10	,	,	PUNCT
iajs-3329	138	11	𝑡	𝑡	NOUN
iajs-3329	138	12	)	)	PUNCT
iajs-3329	138	13	]	]	PUNCT
iajs-3329	139	1	=	=	PUNCT
iajs-3329	139	2	𝐴(𝑖𝑢	𝐴(𝑖𝑢	PROPN
iajs-3329	139	3	,	,	PUNCT
iajs-3329	139	4	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	139	5	)	)	PUNCT
iajs-3329	139	6	,	,	PUNCT
iajs-3329	139	7	𝐷𝐸𝐸[𝑔(𝑥	𝐷𝐸𝐸[𝑔(𝑥	PROPN
iajs-3329	139	8	,	,	PUNCT
iajs-3329	139	9	𝑡	𝑡	PROPN
iajs-3329	139	10	)	)	PUNCT
iajs-3329	139	11	]	]	PUNCT
iajs-3329	140	1	=	=	PUNCT
iajs-3329	140	2	𝐵(𝑖𝑢	𝐵(𝑖𝑢	NOUN
iajs-3329	140	3	,	,	PUNCT
iajs-3329	140	4	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	140	5	)	)	PUNCT
iajs-3329	140	6	,	,	PUNCT
iajs-3329	140	7	and	and	CCONJ
iajs-3329	140	8	𝐷𝐸𝐸[𝑓	𝐷𝐸𝐸[𝑓	PRON
iajs-3329	140	9	∗∗	∗∗	PROPN
iajs-3329	140	10	𝑔(𝑥	𝑔(𝑥	PROPN
iajs-3329	140	11	,	,	PUNCT
iajs-3329	140	12	𝑡	𝑡	NOUN
iajs-3329	140	13	)	)	PUNCT
iajs-3329	140	14	]	]	PUNCT
iajs-3329	141	1	=	=	SYM
iajs-3329	141	2	∫	∫	PROPN
iajs-3329	141	3	∫	∫	PROPN
iajs-3329	141	4	𝑓(𝑥	𝑓(𝑥	VERB
iajs-3329	141	5	−	−	PROPN
iajs-3329	141	6	𝛽	𝛽	NOUN
iajs-3329	141	7	,	,	PUNCT
iajs-3329	141	8	𝑡	𝑡	PROPN
iajs-3329	141	9	−	−	PROPN
iajs-3329	141	10	𝛼)𝑔(𝑥	𝛼)𝑔(𝑥	PROPN
iajs-3329	141	11	−	−	PROPN
iajs-3329	141	12	𝛽	𝛽	NOUN
iajs-3329	141	13	,	,	PUNCT
iajs-3329	141	14	𝑡	𝑡	ADP
iajs-3329	141	15	−	−	NOUN
iajs-3329	141	16	𝛼	𝛼	NOUN
iajs-3329	141	17	)	)	PUNCT
iajs-3329	141	18	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	PROPN
iajs-3329	141	19	,	,	PUNCT
iajs-3329	141	20	∞	∞	PROPN
iajs-3329	141	21	0	0	NUM
iajs-3329	142	1	∞	∞	NUM
iajs-3329	142	2	0	0	NUM
iajs-3329	143	1	then	then	ADV
iajs-3329	143	2	𝐷𝐸𝐸[𝑓	𝐷𝐸𝐸[𝑓	ADJ
iajs-3329	143	3	∗∗	∗∗	PROPN
iajs-3329	143	4	𝑔(𝑥	𝑔(𝑥	PROPN
iajs-3329	143	5	,	,	PUNCT
iajs-3329	143	6	𝑡	𝑡	NOUN
iajs-3329	143	7	)	)	PUNCT
iajs-3329	143	8	]	]	PUNCT
iajs-3329	144	1	=	=	SYM
iajs-3329	144	2	𝐷𝐸𝐸[𝑓(𝑥	𝐷𝐸𝐸[𝑓(𝑥	NOUN
iajs-3329	144	3	,	,	PUNCT
iajs-3329	144	4	𝑡	𝑡	NOUN
iajs-3329	144	5	)	)	PUNCT
iajs-3329	144	6	]	]	PUNCT
iajs-3329	144	7	.	.	PUNCT
iajs-3329	145	1	𝐷𝐸𝐸[𝑔(𝑥	𝐷𝐸𝐸[𝑔(𝑥	PROPN
iajs-3329	145	2	,	,	PUNCT
iajs-3329	145	3	𝑡	𝑡	PROPN
iajs-3329	145	4	)	)	PUNCT
iajs-3329	145	5	]	]	PUNCT
iajs-3329	146	1	=	=	PUNCT
iajs-3329	146	2	𝐴(𝑖𝑢	𝐴(𝑖𝑢	PROPN
iajs-3329	146	3	,	,	PUNCT
iajs-3329	146	4	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	146	5	)	)	PUNCT
iajs-3329	146	6	.	.	PUNCT
iajs-3329	147	1	𝐵(𝑖𝑢	𝐵(𝑖𝑢	NOUN
iajs-3329	147	2	,	,	PUNCT
iajs-3329	147	3	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	147	4	)	)	PUNCT
iajs-3329	147	5	.	.	PUNCT
iajs-3329	148	1	4	4	X
iajs-3329	148	2	.	.	X
iajs-3329	148	3	double	double	ADJ
iajs-3329	148	4	ee	ee	ADP
iajs-3329	148	5	integral	integral	ADJ
iajs-3329	148	6	transform	transform	NOUN
iajs-3329	148	7	for	for	ADP
iajs-3329	148	8	the	the	DET
iajs-3329	148	9	first	first	ADJ
iajs-3329	148	10	and	and	CCONJ
iajs-3329	148	11	second	second	ADJ
iajs-3329	148	12	derivatives	derivative	NOUN
iajs-3329	148	13	:	:	PUNCT
iajs-3329	149	1	1	1	X
iajs-3329	149	2	.	.	X
iajs-3329	149	3	𝐷𝐸𝐸	𝐷𝐸𝐸	PROPN
iajs-3329	149	4	[	[	PUNCT
iajs-3329	149	5	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	149	6	,	,	PUNCT
iajs-3329	149	7	𝑡	𝑡	NOUN
iajs-3329	149	8	)	)	PUNCT
iajs-3329	149	9	𝜕𝑥	𝜕𝑥	X
iajs-3329	149	10	]	]	PUNCT
iajs-3329	149	11	=	=	SYM
iajs-3329	149	12	∫	∫	PROPN
iajs-3329	149	13	∫	∫	PROPN
iajs-3329	149	14	𝜕𝑓(𝑥	𝜕𝑓(𝑥	PROPN
iajs-3329	149	15	,	,	PUNCT
iajs-3329	149	16	𝑡	𝑡	NOUN
iajs-3329	149	17	)	)	PUNCT
iajs-3329	149	18	𝜕𝑥	𝜕𝑥	X
iajs-3329	149	19	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	149	20	)	)	PUNCT
iajs-3329	149	21	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	149	22	∞	∞	PROPN
iajs-3329	149	23	0	0	NUM
iajs-3329	150	1	∞	∞	NUM
iajs-3329	150	2	0	0	NUM
iajs-3329	150	3	=	=	SYM
iajs-3329	150	4	∫	∫	PROPN
iajs-3329	150	5	𝑒−𝑖𝑣𝑛𝑡(∫	𝑒−𝑖𝑣𝑛𝑡(∫	PROPN
iajs-3329	150	6	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	150	7	,	,	PUNCT
iajs-3329	150	8	𝑡	𝑡	NOUN
iajs-3329	150	9	)	)	PUNCT
iajs-3329	150	10	𝜕𝑥	𝜕𝑥	X
iajs-3329	150	11	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	X
iajs-3329	151	1	𝑑𝑥)𝑑𝑡	𝑑𝑥)𝑑𝑡	X
iajs-3329	151	2	∞	∞	NOUN
iajs-3329	151	3	0	0	NUM
iajs-3329	152	1	∞	∞	NUM
iajs-3329	152	2	0	0	NUM
iajs-3329	153	1	=	=	SYM
iajs-3329	153	2	∫	∫	PROPN
iajs-3329	153	3	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	X
iajs-3329	154	1	(	(	PUNCT
iajs-3329	154	2	𝑒−𝑖𝑢𝑛𝑥𝑓(𝑥	𝑒−𝑖𝑢𝑛𝑥𝑓(𝑥	PROPN
iajs-3329	154	3	,	,	PUNCT
iajs-3329	154	4	𝑡)|0	𝑡)|0	NOUN
iajs-3329	154	5	∞	∞	NUM
iajs-3329	155	1	+	+	CCONJ
iajs-3329	155	2	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	155	3	∫	∫	NOUN
iajs-3329	155	4	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	155	5	,	,	PUNCT
iajs-3329	155	6	𝑡	𝑡	NOUN
iajs-3329	155	7	)	)	PUNCT
iajs-3329	155	8	∞	∞	PROPN
iajs-3329	155	9	0	0	NUM
iajs-3329	155	10	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	NOUN
iajs-3329	155	11	)	)	PUNCT
iajs-3329	155	12	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	155	13	∞	∞	PROPN
iajs-3329	155	14	0	0	NUM
iajs-3329	156	1	=	=	SYM
iajs-3329	156	2	∫	∫	PROPN
iajs-3329	156	3	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	X
iajs-3329	156	4	(	(	PUNCT
iajs-3329	156	5	−𝑓(0	−𝑓(0	PROPN
iajs-3329	156	6	,	,	PUNCT
iajs-3329	156	7	𝑡	𝑡	PROPN
iajs-3329	156	8	)	)	PUNCT
iajs-3329	156	9	+	+	NUM
iajs-3329	156	10	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	156	11	∫	∫	NOUN
iajs-3329	156	12	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	156	13	,	,	PUNCT
iajs-3329	156	14	𝑡	𝑡	NOUN
iajs-3329	156	15	)	)	PUNCT
iajs-3329	156	16	∞	∞	PROPN
iajs-3329	156	17	0	0	NUM
iajs-3329	156	18	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	NOUN
iajs-3329	156	19	)	)	PUNCT
iajs-3329	156	20	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	156	21	∞	∞	PROPN
iajs-3329	156	22	0	0	NUM
iajs-3329	157	1	=	=	SYM
iajs-3329	158	1	−	−	PROPN
iajs-3329	158	2	∫	∫	PROPN
iajs-3329	159	1	𝑓(0	𝑓(0	PROPN
iajs-3329	159	2	,	,	PUNCT
iajs-3329	159	3	𝑡)𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	𝑡)𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	PROPN
iajs-3329	159	4	+	+	NUM
iajs-3329	159	5	𝑖𝑢𝑛	𝑖𝑢𝑛	PROPN
iajs-3329	159	6	∫	∫	PROPN
iajs-3329	159	7	∫	∫	PROPN
iajs-3329	159	8	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	159	9	,	,	PUNCT
iajs-3329	159	10	𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	159	11	)	)	PUNCT
iajs-3329	159	12	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	159	13	∞	∞	PROPN
iajs-3329	159	14	0	0	NUM
iajs-3329	160	1	∞	∞	NUM
iajs-3329	160	2	0	0	NUM
iajs-3329	161	1	∞	∞	NUM
iajs-3329	161	2	0	0	NUM
iajs-3329	161	3	=	=	SYM
iajs-3329	161	4	−𝐴(0	−𝐴(0	PROPN
iajs-3329	161	5	,	,	PUNCT
iajs-3329	161	6	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	161	7	)	)	PUNCT
iajs-3329	161	8	+	+	CCONJ
iajs-3329	161	9	𝑖𝑢𝑛𝐴(𝑖𝑢	𝑖𝑢𝑛𝐴(𝑖𝑢	ADV
iajs-3329	161	10	,	,	PUNCT
iajs-3329	161	11	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	161	12	)	)	PUNCT
iajs-3329	161	13	.	.	PUNCT
iajs-3329	162	1	2	2	X
iajs-3329	162	2	.	.	X
iajs-3329	162	3	𝐷𝐸𝐸	𝐷𝐸𝐸	PROPN
iajs-3329	162	4	[	[	PUNCT
iajs-3329	162	5	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	162	6	,	,	PUNCT
iajs-3329	162	7	𝑡	𝑡	NOUN
iajs-3329	162	8	)	)	PUNCT
iajs-3329	162	9	𝜕𝑥2	𝜕𝑥2	NOUN
iajs-3329	162	10	]	]	PUNCT
iajs-3329	163	1	=	=	PUNCT
iajs-3329	163	2	∫	∫	PROPN
iajs-3329	163	3	∫	∫	PROPN
iajs-3329	163	4	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	163	5	,	,	PUNCT
iajs-3329	163	6	𝑡	𝑡	NOUN
iajs-3329	163	7	)	)	PUNCT
iajs-3329	163	8	𝜕𝑥2	𝜕𝑥2	ADJ
iajs-3329	163	9	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	163	10	)	)	PUNCT
iajs-3329	163	11	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	163	12	∞	∞	PROPN
iajs-3329	163	13	0	0	NUM
iajs-3329	164	1	∞	∞	NUM
iajs-3329	164	2	0	0	NUM
iajs-3329	164	3	ihjpas	ihjpas	PROPN
iajs-3329	164	4	.	.	PUNCT
iajs-3329	165	1	37	37	NUM
iajs-3329	165	2	(	(	PUNCT
iajs-3329	165	3	1	1	NUM
iajs-3329	165	4	)	)	PUNCT
iajs-3329	165	5	2024	2024	NUM
iajs-3329	165	6	435	435	NUM
iajs-3329	165	7	=	=	SYM
iajs-3329	165	8	∫	∫	PROPN
iajs-3329	165	9	𝑒−𝑖𝑣𝑛𝑡(∫	𝑒−𝑖𝑣𝑛𝑡(∫	PROPN
iajs-3329	165	10	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	165	11	,	,	PUNCT
iajs-3329	165	12	𝑡	𝑡	NOUN
iajs-3329	165	13	)	)	PUNCT
iajs-3329	165	14	𝜕𝑥2	𝜕𝑥2	NOUN
iajs-3329	165	15	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	166	1	𝑑𝑥)𝑑𝑡	𝑑𝑥)𝑑𝑡	X
iajs-3329	166	2	∞	∞	NOUN
iajs-3329	166	3	0	0	NUM
iajs-3329	167	1	∞	∞	NUM
iajs-3329	167	2	0	0	NUM
iajs-3329	168	1	=	=	SYM
iajs-3329	168	2	∫	∫	PROPN
iajs-3329	168	3	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	X
iajs-3329	168	4	(	(	PUNCT
iajs-3329	168	5	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	168	6	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	168	7	,	,	PUNCT
iajs-3329	168	8	𝑡	𝑡	NOUN
iajs-3329	168	9	)	)	PUNCT
iajs-3329	168	10	𝜕𝑥	𝜕𝑥	X
iajs-3329	168	11	|0	|0	NUM
iajs-3329	168	12	∞	∞	PROPN
iajs-3329	169	1	+	+	CCONJ
iajs-3329	169	2	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	169	3	∫	∫	NOUN
iajs-3329	169	4	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	169	5	,	,	PUNCT
iajs-3329	169	6	𝑡	𝑡	NOUN
iajs-3329	169	7	)	)	PUNCT
iajs-3329	169	8	𝜕𝑥	𝜕𝑥	X
iajs-3329	169	9	∞	∞	NOUN
iajs-3329	169	10	0	0	NUM
iajs-3329	169	11	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	NOUN
iajs-3329	169	12	)	)	PUNCT
iajs-3329	169	13	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	169	14	∞	∞	PROPN
iajs-3329	169	15	0	0	NUM
iajs-3329	170	1	=	=	SYM
iajs-3329	170	2	∫	∫	PROPN
iajs-3329	170	3	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	X
iajs-3329	171	1	(	(	PUNCT
iajs-3329	171	2	−	−	PROPN
iajs-3329	171	3	𝜕𝑓(0	𝜕𝑓(0	PROPN
iajs-3329	171	4	,	,	PUNCT
iajs-3329	171	5	𝑡	𝑡	NOUN
iajs-3329	171	6	)	)	PUNCT
iajs-3329	171	7	𝜕𝑥	𝜕𝑥	NOUN
iajs-3329	172	1	+	+	CCONJ
iajs-3329	172	2	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	172	3	∫	∫	NOUN
iajs-3329	172	4	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	172	5	,	,	PUNCT
iajs-3329	172	6	𝑡	𝑡	NOUN
iajs-3329	172	7	)	)	PUNCT
iajs-3329	172	8	𝜕𝑥	𝜕𝑥	X
iajs-3329	172	9	∞	∞	NOUN
iajs-3329	172	10	0	0	NUM
iajs-3329	172	11	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	NOUN
iajs-3329	172	12	)	)	PUNCT
iajs-3329	172	13	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	172	14	∞	∞	PROPN
iajs-3329	172	15	0	0	NUM
iajs-3329	173	1	=	=	SYM
iajs-3329	174	1	−	−	PROPN
iajs-3329	174	2	∫	∫	PROPN
iajs-3329	174	3	𝜕𝑓(0	𝜕𝑓(0	PROPN
iajs-3329	174	4	,	,	PUNCT
iajs-3329	174	5	𝑡	𝑡	NOUN
iajs-3329	174	6	)	)	PUNCT
iajs-3329	174	7	𝜕𝑥	𝜕𝑥	X
iajs-3329	174	8	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	X
iajs-3329	174	9	+	+	CCONJ
iajs-3329	174	10	𝑖𝑢𝑛	𝑖𝑢𝑛	PROPN
iajs-3329	174	11	∫	∫	PROPN
iajs-3329	174	12	∫	∫	PROPN
iajs-3329	174	13	𝜕𝑓(𝑥	𝜕𝑓(𝑥	PROPN
iajs-3329	174	14	,	,	PUNCT
iajs-3329	174	15	𝑡	𝑡	NOUN
iajs-3329	174	16	)	)	PUNCT
iajs-3329	174	17	𝜕𝑥	𝜕𝑥	X
iajs-3329	174	18	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	174	19	)	)	PUNCT
iajs-3329	174	20	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	174	21	∞	∞	PROPN
iajs-3329	174	22	0	0	NUM
iajs-3329	175	1	∞	∞	NUM
iajs-3329	175	2	0	0	NUM
iajs-3329	176	1	∞	∞	NUM
iajs-3329	176	2	0	0	NUM
iajs-3329	176	3	=	=	SYM
iajs-3329	177	1	−	−	PROPN
iajs-3329	177	2	𝜕𝐴(0	𝜕𝐴(0	PROPN
iajs-3329	177	3	,	,	PUNCT
iajs-3329	177	4	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	177	5	)	)	PUNCT
iajs-3329	177	6	𝜕𝑥	𝜕𝑥	NOUN
iajs-3329	178	1	+	+	PUNCT
iajs-3329	178	2	𝑖𝑢𝑛𝐷𝐸𝐸	𝑖𝑢𝑛𝐷𝐸𝐸	PROPN
iajs-3329	178	3	[	[	PUNCT
iajs-3329	178	4	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	178	5	,	,	PUNCT
iajs-3329	178	6	𝑡	𝑡	NOUN
iajs-3329	178	7	)	)	PUNCT
iajs-3329	178	8	𝜕𝑥	𝜕𝑥	X
iajs-3329	178	9	]	]	PUNCT
iajs-3329	179	1	=	=	PUNCT
iajs-3329	179	2	−	−	PROPN
iajs-3329	179	3	𝜕𝐴(0	𝜕𝐴(0	PROPN
iajs-3329	179	4	,	,	PUNCT
iajs-3329	179	5	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	179	6	)	)	PUNCT
iajs-3329	179	7	𝜕𝑥	𝜕𝑥	X
iajs-3329	179	8	−	−	ADV
iajs-3329	179	9	𝑖𝑢𝑛𝐴(0	𝑖𝑢𝑛𝐴(0	SYM
iajs-3329	179	10	,	,	PUNCT
iajs-3329	179	11	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	179	12	)	)	PUNCT
iajs-3329	179	13	−	−	ADP
iajs-3329	179	14	𝑢2𝑛𝐴(𝑖𝑢	𝑢2𝑛𝐴(𝑖𝑢	ADV
iajs-3329	179	15	,	,	PUNCT
iajs-3329	179	16	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	179	17	)	)	PUNCT
iajs-3329	179	18	.	.	PUNCT
iajs-3329	180	1	3	3	X
iajs-3329	180	2	.	.	X
iajs-3329	180	3	𝐷𝐸𝐸	𝐷𝐸𝐸	PROPN
iajs-3329	180	4	[	[	PUNCT
iajs-3329	180	5	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	180	6	,	,	PUNCT
iajs-3329	180	7	𝑡	𝑡	NOUN
iajs-3329	180	8	)	)	PUNCT
iajs-3329	180	9	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	180	10	]	]	X
iajs-3329	181	1	=	=	SYM
iajs-3329	181	2	∫	∫	PROPN
iajs-3329	181	3	∫	∫	PROPN
iajs-3329	181	4	𝜕𝑓(𝑥	𝜕𝑓(𝑥	PROPN
iajs-3329	181	5	,	,	PUNCT
iajs-3329	181	6	𝑡	𝑡	NOUN
iajs-3329	181	7	)	)	PUNCT
iajs-3329	181	8	𝜕𝑡	𝜕𝑡	ADJ
iajs-3329	181	9	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	181	10	)	)	PUNCT
iajs-3329	181	11	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	181	12	∞	∞	PROPN
iajs-3329	181	13	0	0	NUM
iajs-3329	182	1	∞	∞	NUM
iajs-3329	182	2	0	0	NUM
iajs-3329	182	3	=	=	SYM
iajs-3329	182	4	∫	∫	PROPN
iajs-3329	182	5	𝑒−𝑖𝑢𝑛𝑥(∫	𝑒−𝑖𝑢𝑛𝑥(∫	PROPN
iajs-3329	182	6	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	182	7	,	,	PUNCT
iajs-3329	182	8	𝑡	𝑡	NOUN
iajs-3329	182	9	)	)	PUNCT
iajs-3329	182	10	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	182	11	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	NOUN
iajs-3329	183	1	𝑑𝑡)𝑑𝑥	𝑑𝑡)𝑑𝑥	PUNCT
iajs-3329	183	2	∞	∞	NOUN
iajs-3329	183	3	0	0	NUM
iajs-3329	184	1	∞	∞	NUM
iajs-3329	184	2	0	0	NUM
iajs-3329	184	3	=	=	SYM
iajs-3329	184	4	∫	∫	PROPN
iajs-3329	184	5	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	184	6	(	(	PUNCT
iajs-3329	184	7	𝑒−𝑖𝑣𝑛𝑡𝑓(𝑥	𝑒−𝑖𝑣𝑛𝑡𝑓(𝑥	PROPN
iajs-3329	184	8	,	,	PUNCT
iajs-3329	184	9	𝑡)|0	𝑡)|0	NUM
iajs-3329	184	10	∞	∞	PROPN
iajs-3329	185	1	+	+	CCONJ
iajs-3329	185	2	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	185	3	∫	∫	PROPN
iajs-3329	185	4	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	185	5	,	,	PUNCT
iajs-3329	185	6	𝑡	𝑡	NOUN
iajs-3329	185	7	)	)	PUNCT
iajs-3329	185	8	∞	∞	NOUN
iajs-3329	185	9	0	0	NUM
iajs-3329	186	1	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	X
iajs-3329	186	2	)	)	PUNCT
iajs-3329	186	3	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	186	4	∞	∞	PROPN
iajs-3329	186	5	0	0	NUM
iajs-3329	186	6	=	=	SYM
iajs-3329	186	7	∫	∫	PROPN
iajs-3329	186	8	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	186	9	(	(	PUNCT
iajs-3329	186	10	−𝑓(𝑥	−𝑓(𝑥	NOUN
iajs-3329	186	11	,	,	PUNCT
iajs-3329	186	12	0	0	NUM
iajs-3329	186	13	)	)	PUNCT
iajs-3329	187	1	+	+	CCONJ
iajs-3329	187	2	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	187	3	∫	∫	PROPN
iajs-3329	187	4	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	187	5	,	,	PUNCT
iajs-3329	187	6	𝑡	𝑡	NOUN
iajs-3329	187	7	)	)	PUNCT
iajs-3329	187	8	∞	∞	NOUN
iajs-3329	187	9	0	0	NUM
iajs-3329	188	1	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	X
iajs-3329	188	2	)	)	PUNCT
iajs-3329	188	3	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	188	4	∞	∞	PROPN
iajs-3329	188	5	0	0	NUM
iajs-3329	188	6	,	,	PUNCT
iajs-3329	188	7	=	=	PUNCT
iajs-3329	188	8	−	−	NOUN
iajs-3329	188	9	∫	∫	PROPN
iajs-3329	188	10	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	188	11	,	,	PUNCT
iajs-3329	188	12	0)𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	0)𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	NOUN
iajs-3329	188	13	+	+	CCONJ
iajs-3329	188	14	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	188	15	∫	∫	PROPN
iajs-3329	189	1	∫	∫	PROPN
iajs-3329	189	2	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3329	189	3	,	,	PUNCT
iajs-3329	189	4	𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑡)𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	189	5	)	)	PUNCT
iajs-3329	189	6	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	189	7	∞	∞	PROPN
iajs-3329	189	8	0	0	NUM
iajs-3329	190	1	∞	∞	NUM
iajs-3329	190	2	0	0	NUM
iajs-3329	191	1	∞	∞	NUM
iajs-3329	191	2	0	0	NUM
iajs-3329	191	3	=	=	SYM
iajs-3329	191	4	−𝐴(𝑖𝑢	−𝐴(𝑖𝑢	PROPN
iajs-3329	191	5	,	,	PUNCT
iajs-3329	191	6	0	0	NUM
iajs-3329	191	7	)	)	PUNCT
iajs-3329	192	1	+	+	CCONJ
iajs-3329	192	2	𝑖𝑣𝑛𝐴(𝑖𝑢	𝑖𝑣𝑛𝐴(𝑖𝑢	ADV
iajs-3329	192	3	,	,	PUNCT
iajs-3329	192	4	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	192	5	)	)	PUNCT
iajs-3329	192	6	.	.	PUNCT
iajs-3329	193	1	4	4	X
iajs-3329	193	2	.	.	X
iajs-3329	194	1	𝐷𝐸𝐸	𝐷𝐸𝐸	PROPN
iajs-3329	194	2	[	[	PUNCT
iajs-3329	194	3	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	194	4	,	,	PUNCT
iajs-3329	194	5	𝑡	𝑡	NOUN
iajs-3329	194	6	)	)	PUNCT
iajs-3329	194	7	𝜕𝑡2	𝜕𝑡2	NOUN
iajs-3329	194	8	]	]	PUNCT
iajs-3329	194	9	=	=	PUNCT
iajs-3329	195	1	∫	∫	PROPN
iajs-3329	195	2	∫	∫	PROPN
iajs-3329	195	3	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	195	4	,	,	PUNCT
iajs-3329	195	5	𝑡	𝑡	NOUN
iajs-3329	195	6	)	)	PUNCT
iajs-3329	195	7	𝜕𝑡2	𝜕𝑡2	NOUN
iajs-3329	195	8	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	195	9	)	)	PUNCT
iajs-3329	195	10	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	195	11	∞	∞	PROPN
iajs-3329	195	12	0	0	NUM
iajs-3329	196	1	∞	∞	NUM
iajs-3329	196	2	0	0	NUM
iajs-3329	197	1	=	=	SYM
iajs-3329	197	2	∫	∫	PROPN
iajs-3329	197	3	𝑒−𝑖𝑢𝑛𝑥(∫	𝑒−𝑖𝑢𝑛𝑥(∫	PROPN
iajs-3329	197	4	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	197	5	,	,	PUNCT
iajs-3329	197	6	𝑡	𝑡	NOUN
iajs-3329	197	7	)	)	PUNCT
iajs-3329	197	8	𝜕𝑡2	𝜕𝑡2	NOUN
iajs-3329	197	9	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	X
iajs-3329	197	10	𝑑𝑡)𝑑𝑥	𝑑𝑡)𝑑𝑥	PUNCT
iajs-3329	197	11	∞	∞	NOUN
iajs-3329	197	12	0	0	NUM
iajs-3329	197	13	∞	∞	NUM
iajs-3329	197	14	0	0	NUM
iajs-3329	197	15	ihjpas	ihjpas	PROPN
iajs-3329	197	16	.	.	PUNCT
iajs-3329	198	1	37	37	NUM
iajs-3329	198	2	(	(	PUNCT
iajs-3329	198	3	1	1	NUM
iajs-3329	198	4	)	)	PUNCT
iajs-3329	198	5	2024	2024	NUM
iajs-3329	198	6	436	436	NUM
iajs-3329	198	7	=	=	SYM
iajs-3329	198	8	∫	∫	PROPN
iajs-3329	198	9	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	198	10	(	(	PUNCT
iajs-3329	198	11	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	NOUN
iajs-3329	198	12	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	198	13	,	,	PUNCT
iajs-3329	198	14	𝑡	𝑡	NOUN
iajs-3329	198	15	)	)	PUNCT
iajs-3329	198	16	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	198	17	|0	|0	NUM
iajs-3329	198	18	∞	∞	PROPN
iajs-3329	198	19	+	+	CCONJ
iajs-3329	198	20	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	198	21	∫	∫	PROPN
iajs-3329	198	22	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	198	23	,	,	PUNCT
iajs-3329	198	24	𝑡	𝑡	NOUN
iajs-3329	198	25	)	)	PUNCT
iajs-3329	198	26	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	198	27	∞	∞	PROPN
iajs-3329	198	28	0	0	NUM
iajs-3329	198	29	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	X
iajs-3329	198	30	)	)	PUNCT
iajs-3329	198	31	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	198	32	∞	∞	PROPN
iajs-3329	198	33	0	0	NUM
iajs-3329	198	34	=	=	SYM
iajs-3329	198	35	∫	∫	PROPN
iajs-3329	198	36	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	198	37	(	(	PUNCT
iajs-3329	198	38	−	−	PROPN
iajs-3329	198	39	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	198	40	,	,	PUNCT
iajs-3329	198	41	0	0	NUM
iajs-3329	198	42	)	)	PUNCT
iajs-3329	199	1	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	200	1	+	+	CCONJ
iajs-3329	200	2	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	200	3	∫	∫	PROPN
iajs-3329	200	4	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	200	5	,	,	PUNCT
iajs-3329	200	6	𝑡	𝑡	NOUN
iajs-3329	200	7	)	)	PUNCT
iajs-3329	200	8	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	200	9	∞	∞	PROPN
iajs-3329	200	10	0	0	NUM
iajs-3329	200	11	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	X
iajs-3329	200	12	)	)	PUNCT
iajs-3329	200	13	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	200	14	∞	∞	PROPN
iajs-3329	200	15	0	0	NUM
iajs-3329	200	16	=	=	SYM
iajs-3329	200	17	−	−	PROPN
iajs-3329	200	18	∫	∫	PROPN
iajs-3329	200	19	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	200	20	,	,	PUNCT
iajs-3329	200	21	0	0	NUM
iajs-3329	200	22	)	)	PUNCT
iajs-3329	200	23	𝜕𝑡	𝜕𝑡	ADJ
iajs-3329	200	24	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	NOUN
iajs-3329	201	1	+	+	CCONJ
iajs-3329	201	2	𝑖𝑣𝑛	𝑖𝑣𝑛	AUX
iajs-3329	201	3	∫	∫	PROPN
iajs-3329	201	4	∫	∫	PROPN
iajs-3329	201	5	𝜕𝑓(𝑥	𝜕𝑓(𝑥	PROPN
iajs-3329	201	6	,	,	PUNCT
iajs-3329	201	7	𝑡	𝑡	NOUN
iajs-3329	201	8	)	)	PUNCT
iajs-3329	201	9	𝜕𝑡	𝜕𝑡	ADJ
iajs-3329	201	10	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	201	11	)	)	PUNCT
iajs-3329	201	12	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	201	13	∞	∞	PROPN
iajs-3329	201	14	0	0	NUM
iajs-3329	202	1	∞	∞	NUM
iajs-3329	202	2	0	0	NUM
iajs-3329	203	1	∞	∞	NUM
iajs-3329	203	2	0	0	NUM
iajs-3329	203	3	=	=	SYM
iajs-3329	204	1	−	−	PROPN
iajs-3329	204	2	𝜕𝐴(𝑖𝑢	𝜕𝐴(𝑖𝑢	NOUN
iajs-3329	204	3	,	,	PUNCT
iajs-3329	204	4	0	0	NUM
iajs-3329	204	5	)	)	PUNCT
iajs-3329	204	6	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	205	1	+	+	CCONJ
iajs-3329	205	2	𝑖𝑣𝑛𝐷𝐸𝐸	𝑖𝑣𝑛𝐷𝐸𝐸	ADJ
iajs-3329	205	3	[	[	PUNCT
iajs-3329	205	4	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	205	5	,	,	PUNCT
iajs-3329	205	6	𝑡	𝑡	NOUN
iajs-3329	205	7	)	)	PUNCT
iajs-3329	205	8	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	205	9	]	]	X
iajs-3329	205	10	=	=	PUNCT
iajs-3329	206	1	−	−	NOUN
iajs-3329	206	2	𝜕𝐴(𝑖𝑢	𝜕𝐴(𝑖𝑢	NOUN
iajs-3329	206	3	,	,	PUNCT
iajs-3329	206	4	0	0	NUM
iajs-3329	206	5	)	)	PUNCT
iajs-3329	206	6	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	206	7	−	−	PROPN
iajs-3329	206	8	𝑖𝑣𝑛𝐴(𝑖𝑢	𝑖𝑣𝑛𝐴(𝑖𝑢	ADP
iajs-3329	206	9	,	,	PUNCT
iajs-3329	206	10	0	0	NUM
iajs-3329	206	11	)	)	PUNCT
iajs-3329	206	12	−	−	PROPN
iajs-3329	206	13	𝑣2𝑛𝐴(𝑖𝑢	𝑣2𝑛𝐴(𝑖𝑢	NOUN
iajs-3329	206	14	,	,	PUNCT
iajs-3329	206	15	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	206	16	)	)	PUNCT
iajs-3329	206	17	.	.	PUNCT
iajs-3329	207	1	5	5	X
iajs-3329	207	2	.	.	X
iajs-3329	207	3	𝐷𝐸𝐸	𝐷𝐸𝐸	PROPN
iajs-3329	207	4	[	[	PUNCT
iajs-3329	207	5	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	207	6	,	,	PUNCT
iajs-3329	207	7	𝑡	𝑡	NOUN
iajs-3329	207	8	)	)	PUNCT
iajs-3329	207	9	𝜕𝑡𝜕𝑥	𝜕𝑡𝜕𝑥	NOUN
iajs-3329	207	10	]	]	PUNCT
iajs-3329	208	1	=	=	SYM
iajs-3329	208	2	∫	∫	PROPN
iajs-3329	208	3	∫	∫	PROPN
iajs-3329	208	4	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	208	5	,	,	PUNCT
iajs-3329	208	6	𝑡	𝑡	NOUN
iajs-3329	208	7	)	)	PUNCT
iajs-3329	208	8	𝜕𝑡𝜕𝑥	𝜕𝑡𝜕𝑥	NOUN
iajs-3329	208	9	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	208	10	)	)	PUNCT
iajs-3329	208	11	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	208	12	∞	∞	PROPN
iajs-3329	208	13	0	0	NUM
iajs-3329	209	1	∞	∞	NUM
iajs-3329	209	2	0	0	NUM
iajs-3329	210	1	=	=	SYM
iajs-3329	210	2	∫	∫	PROPN
iajs-3329	210	3	𝑒−𝑖𝑢𝑛𝑥(∫	𝑒−𝑖𝑢𝑛𝑥(∫	PROPN
iajs-3329	210	4	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	210	5	,	,	PUNCT
iajs-3329	210	6	𝑡	𝑡	NOUN
iajs-3329	210	7	)	)	PUNCT
iajs-3329	210	8	𝜕𝑡𝜕𝑥	𝜕𝑡𝜕𝑥	NOUN
iajs-3329	210	9	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	X
iajs-3329	211	1	𝑑𝑡)𝑑𝑥	𝑑𝑡)𝑑𝑥	PUNCT
iajs-3329	211	2	∞	∞	NOUN
iajs-3329	211	3	0	0	NUM
iajs-3329	212	1	∞	∞	NUM
iajs-3329	212	2	0	0	NUM
iajs-3329	212	3	=	=	SYM
iajs-3329	212	4	∫	∫	PROPN
iajs-3329	212	5	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	212	6	(	(	PUNCT
iajs-3329	212	7	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	NOUN
iajs-3329	212	8	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	212	9	,	,	PUNCT
iajs-3329	212	10	𝑡	𝑡	NOUN
iajs-3329	212	11	)	)	PUNCT
iajs-3329	212	12	𝜕𝑥	𝜕𝑥	X
iajs-3329	212	13	|0	|0	NUM
iajs-3329	212	14	∞	∞	PROPN
iajs-3329	213	1	+	+	CCONJ
iajs-3329	213	2	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	213	3	∫	∫	PROPN
iajs-3329	213	4	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	213	5	,	,	PUNCT
iajs-3329	213	6	𝑡	𝑡	NOUN
iajs-3329	213	7	)	)	PUNCT
iajs-3329	213	8	𝜕𝑥	𝜕𝑥	X
iajs-3329	213	9	∞	∞	PROPN
iajs-3329	213	10	0	0	NUM
iajs-3329	214	1	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	X
iajs-3329	214	2	)	)	PUNCT
iajs-3329	214	3	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	214	4	∞	∞	PROPN
iajs-3329	214	5	0	0	NUM
iajs-3329	214	6	=	=	SYM
iajs-3329	214	7	∫	∫	PROPN
iajs-3329	214	8	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	214	9	(	(	PUNCT
iajs-3329	214	10	−	−	PROPN
iajs-3329	214	11	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	214	12	,	,	PUNCT
iajs-3329	214	13	0	0	NUM
iajs-3329	214	14	)	)	PUNCT
iajs-3329	214	15	𝜕𝑥	𝜕𝑥	NOUN
iajs-3329	214	16	+	+	CCONJ
iajs-3329	214	17	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	214	18	∫	∫	PROPN
iajs-3329	214	19	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	214	20	,	,	PUNCT
iajs-3329	214	21	𝑡	𝑡	NOUN
iajs-3329	214	22	)	)	PUNCT
iajs-3329	214	23	𝜕𝑥	𝜕𝑥	X
iajs-3329	214	24	∞	∞	PROPN
iajs-3329	214	25	0	0	NUM
iajs-3329	215	1	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	X
iajs-3329	215	2	)	)	PUNCT
iajs-3329	215	3	𝑑𝑥	𝑑𝑥	VERB
iajs-3329	215	4	∞	∞	PROPN
iajs-3329	215	5	0	0	NUM
iajs-3329	215	6	=	=	SYM
iajs-3329	215	7	−	−	PROPN
iajs-3329	215	8	∫	∫	PROPN
iajs-3329	215	9	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	215	10	,	,	PUNCT
iajs-3329	215	11	0	0	NUM
iajs-3329	215	12	)	)	PUNCT
iajs-3329	215	13	𝜕𝑥	𝜕𝑥	X
iajs-3329	215	14	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	NOUN
iajs-3329	216	1	+	+	CCONJ
iajs-3329	216	2	𝑖𝑣𝑛	𝑖𝑣𝑛	AUX
iajs-3329	216	3	∫	∫	PROPN
iajs-3329	216	4	∫	∫	PROPN
iajs-3329	216	5	𝜕𝑓(𝑥	𝜕𝑓(𝑥	PROPN
iajs-3329	216	6	,	,	PUNCT
iajs-3329	216	7	𝑡	𝑡	NOUN
iajs-3329	216	8	)	)	PUNCT
iajs-3329	216	9	𝜕𝑥	𝜕𝑥	X
iajs-3329	216	10	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	216	11	)	)	PUNCT
iajs-3329	216	12	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	216	13	∞	∞	PROPN
iajs-3329	216	14	0	0	NUM
iajs-3329	217	1	∞	∞	NUM
iajs-3329	217	2	0	0	NUM
iajs-3329	218	1	∞	∞	NUM
iajs-3329	218	2	0	0	NUM
iajs-3329	218	3	=	=	SYM
iajs-3329	219	1	−	−	PROPN
iajs-3329	219	2	𝜕𝐴(𝑖𝑢	𝜕𝐴(𝑖𝑢	NOUN
iajs-3329	219	3	,	,	PUNCT
iajs-3329	219	4	0	0	NUM
iajs-3329	219	5	)	)	PUNCT
iajs-3329	219	6	𝜕𝑥	𝜕𝑥	NOUN
iajs-3329	220	1	+	+	CCONJ
iajs-3329	220	2	𝑖𝑣𝑛𝐷𝐸𝐸	𝑖𝑣𝑛𝐷𝐸𝐸	PROPN
iajs-3329	220	3	[	[	PUNCT
iajs-3329	220	4	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	220	5	,	,	PUNCT
iajs-3329	220	6	𝑡	𝑡	NOUN
iajs-3329	220	7	)	)	PUNCT
iajs-3329	220	8	𝜕𝑥	𝜕𝑥	X
iajs-3329	220	9	]	]	PUNCT
iajs-3329	221	1	=	=	PUNCT
iajs-3329	221	2	−	−	NOUN
iajs-3329	221	3	𝜕𝐴(𝑖𝑢	𝜕𝐴(𝑖𝑢	NOUN
iajs-3329	221	4	,	,	PUNCT
iajs-3329	221	5	0	0	NUM
iajs-3329	221	6	)	)	PUNCT
iajs-3329	221	7	𝜕𝑥	𝜕𝑥	X
iajs-3329	221	8	−	−	NOUN
iajs-3329	222	1	𝑖𝑣𝑛𝐴(0	𝑖𝑣𝑛𝐴(0	SYM
iajs-3329	222	2	,	,	PUNCT
iajs-3329	222	3	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	222	4	)	)	PUNCT
iajs-3329	222	5	−	−	PROPN
iajs-3329	222	6	(	(	PUNCT
iajs-3329	222	7	𝑢𝑣)𝑛𝐴(𝑖𝑢	𝑢𝑣)𝑛𝐴(𝑖𝑢	VERB
iajs-3329	222	8	,	,	PUNCT
iajs-3329	222	9	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	222	10	)	)	PUNCT
iajs-3329	222	11	.	.	PUNCT
iajs-3329	223	1	6	6	X
iajs-3329	223	2	.	.	X
iajs-3329	224	1	𝐷𝐸𝐸	𝐷𝐸𝐸	PROPN
iajs-3329	224	2	[	[	PUNCT
iajs-3329	224	3	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	224	4	,	,	PUNCT
iajs-3329	224	5	𝑡	𝑡	NOUN
iajs-3329	224	6	)	)	PUNCT
iajs-3329	224	7	𝜕𝑥𝜕𝑡	𝜕𝑥𝜕𝑡	NOUN
iajs-3329	224	8	]	]	PUNCT
iajs-3329	225	1	=	=	PUNCT
iajs-3329	226	1	∫	∫	PROPN
iajs-3329	226	2	∫	∫	PROPN
iajs-3329	226	3	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	226	4	,	,	PUNCT
iajs-3329	226	5	𝑡	𝑡	NOUN
iajs-3329	226	6	)	)	PUNCT
iajs-3329	226	7	𝜕𝑥𝜕𝑡	𝜕𝑥𝜕𝑡	NOUN
iajs-3329	226	8	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	226	9	)	)	PUNCT
iajs-3329	226	10	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	226	11	∞	∞	PROPN
iajs-3329	226	12	0	0	NUM
iajs-3329	227	1	∞	∞	NUM
iajs-3329	227	2	0	0	NUM
iajs-3329	227	3	ihjpas	ihjpas	PROPN
iajs-3329	227	4	.	.	PUNCT
iajs-3329	228	1	37	37	NUM
iajs-3329	228	2	(	(	PUNCT
iajs-3329	228	3	1	1	NUM
iajs-3329	228	4	)	)	PUNCT
iajs-3329	228	5	2024	2024	NUM
iajs-3329	228	6	437	437	NUM
iajs-3329	228	7	=	=	SYM
iajs-3329	228	8	∫	∫	PROPN
iajs-3329	228	9	𝑒−𝑖𝑣𝑛𝑡(∫	𝑒−𝑖𝑣𝑛𝑡(∫	PROPN
iajs-3329	228	10	𝜕2𝑓(𝑥	𝜕2𝑓(𝑥	PROPN
iajs-3329	228	11	,	,	PUNCT
iajs-3329	228	12	𝑡	𝑡	NOUN
iajs-3329	228	13	)	)	PUNCT
iajs-3329	228	14	𝜕𝑥𝜕𝑡	𝜕𝑥𝜕𝑡	NOUN
iajs-3329	228	15	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	NOUN
iajs-3329	228	16	𝑑𝑥)𝑑𝑡	𝑑𝑥)𝑑𝑡	X
iajs-3329	229	1	∞	∞	NOUN
iajs-3329	229	2	0	0	NUM
iajs-3329	230	1	∞	∞	NUM
iajs-3329	230	2	0	0	NUM
iajs-3329	231	1	=	=	SYM
iajs-3329	231	2	∫	∫	PROPN
iajs-3329	231	3	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	X
iajs-3329	231	4	(	(	PUNCT
iajs-3329	231	5	𝑒−𝑖𝑢𝑛𝑥	𝑒−𝑖𝑢𝑛𝑥	PROPN
iajs-3329	231	6	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	231	7	,	,	PUNCT
iajs-3329	231	8	𝑡	𝑡	NOUN
iajs-3329	231	9	)	)	PUNCT
iajs-3329	231	10	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	231	11	|0	|0	NUM
iajs-3329	231	12	∞	∞	PROPN
iajs-3329	231	13	+	+	CCONJ
iajs-3329	231	14	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	231	15	∫	∫	NOUN
iajs-3329	231	16	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	231	17	,	,	PUNCT
iajs-3329	231	18	𝑡	𝑡	NOUN
iajs-3329	231	19	)	)	PUNCT
iajs-3329	231	20	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	231	21	∞	∞	PROPN
iajs-3329	231	22	0	0	NUM
iajs-3329	231	23	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	NOUN
iajs-3329	231	24	)	)	PUNCT
iajs-3329	231	25	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	231	26	∞	∞	PROPN
iajs-3329	231	27	0	0	NUM
iajs-3329	232	1	=	=	SYM
iajs-3329	232	2	∫	∫	PROPN
iajs-3329	232	3	𝑒−𝑖𝑣𝑛𝑡	𝑒−𝑖𝑣𝑛𝑡	X
iajs-3329	233	1	(	(	PUNCT
iajs-3329	233	2	−	−	PROPN
iajs-3329	233	3	𝜕𝑓(0	𝜕𝑓(0	PROPN
iajs-3329	233	4	,	,	PUNCT
iajs-3329	233	5	𝑡	𝑡	PROPN
iajs-3329	233	6	)	)	PUNCT
iajs-3329	234	1	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	234	2	+	+	CCONJ
iajs-3329	234	3	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	234	4	∫	∫	NOUN
iajs-3329	234	5	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	234	6	,	,	PUNCT
iajs-3329	234	7	𝑡	𝑡	NOUN
iajs-3329	234	8	)	)	PUNCT
iajs-3329	234	9	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	234	10	∞	∞	PROPN
iajs-3329	234	11	0	0	NUM
iajs-3329	234	12	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	𝑒−𝑖𝑢𝑛𝑥𝑑𝑥	NOUN
iajs-3329	234	13	)	)	PUNCT
iajs-3329	234	14	𝑑𝑡	𝑑𝑡	ADP
iajs-3329	234	15	∞	∞	PROPN
iajs-3329	234	16	0	0	NUM
iajs-3329	235	1	=	=	SYM
iajs-3329	236	1	−	−	PROPN
iajs-3329	236	2	∫	∫	PROPN
iajs-3329	236	3	𝜕𝑓(0	𝜕𝑓(0	PROPN
iajs-3329	236	4	,	,	PUNCT
iajs-3329	236	5	𝑡	𝑡	PROPN
iajs-3329	236	6	)	)	PUNCT
iajs-3329	236	7	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	236	8	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	𝑒−𝑖𝑣𝑛𝑡𝑑𝑡	PROPN
iajs-3329	236	9	+	+	CCONJ
iajs-3329	236	10	𝑖𝑢𝑛	𝑖𝑢𝑛	PROPN
iajs-3329	236	11	∫	∫	PROPN
iajs-3329	236	12	∫	∫	PROPN
iajs-3329	236	13	𝜕𝑓(𝑥	𝜕𝑓(𝑥	PROPN
iajs-3329	236	14	,	,	PUNCT
iajs-3329	236	15	𝑡	𝑡	NOUN
iajs-3329	236	16	)	)	PUNCT
iajs-3329	236	17	𝜕𝑡	𝜕𝑡	ADJ
iajs-3329	236	18	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	𝑒−𝑖(𝑢𝑛𝑥+𝑣𝑛𝑡	NOUN
iajs-3329	236	19	)	)	PUNCT
iajs-3329	236	20	𝑑𝑡𝑑𝑥	𝑑𝑡𝑑𝑥	VERB
iajs-3329	236	21	∞	∞	PROPN
iajs-3329	236	22	0	0	NUM
iajs-3329	237	1	∞	∞	NUM
iajs-3329	237	2	0	0	NUM
iajs-3329	238	1	∞	∞	NUM
iajs-3329	238	2	0	0	NUM
iajs-3329	238	3	=	=	SYM
iajs-3329	239	1	−	−	PROPN
iajs-3329	239	2	𝜕𝐴(0	𝜕𝐴(0	PROPN
iajs-3329	239	3	,	,	PUNCT
iajs-3329	239	4	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	239	5	)	)	PUNCT
iajs-3329	239	6	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	240	1	+	+	CCONJ
iajs-3329	240	2	𝑖𝑢𝑛𝐷𝐸𝐸	𝑖𝑢𝑛𝐷𝐸𝐸	PROPN
iajs-3329	240	3	[	[	PUNCT
iajs-3329	240	4	𝜕𝑓(𝑥	𝜕𝑓(𝑥	NOUN
iajs-3329	240	5	,	,	PUNCT
iajs-3329	240	6	𝑡	𝑡	NOUN
iajs-3329	240	7	)	)	PUNCT
iajs-3329	240	8	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	240	9	]	]	X
iajs-3329	240	10	=	=	PUNCT
iajs-3329	241	1	−	−	PROPN
iajs-3329	241	2	𝜕𝐴(0	𝜕𝐴(0	PROPN
iajs-3329	241	3	,	,	PUNCT
iajs-3329	241	4	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	241	5	)	)	PUNCT
iajs-3329	242	1	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	242	2	−	−	PROPN
iajs-3329	242	3	𝑖𝑢𝑛𝐴(𝑖𝑢	𝑖𝑢𝑛𝐴(𝑖𝑢	ADV
iajs-3329	242	4	,	,	PUNCT
iajs-3329	242	5	0	0	NUM
iajs-3329	242	6	)	)	PUNCT
iajs-3329	242	7	−	−	PROPN
iajs-3329	242	8	(	(	PUNCT
iajs-3329	242	9	𝑢𝑣)𝑛𝐴(𝑖𝑢	𝑢𝑣)𝑛𝐴(𝑖𝑢	VERB
iajs-3329	242	10	,	,	PUNCT
iajs-3329	242	11	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	242	12	)	)	PUNCT
iajs-3329	242	13	.	.	PUNCT
iajs-3329	243	1	5	5	X
iajs-3329	243	2	.	.	X
iajs-3329	243	3	examples	example	NOUN
iajs-3329	243	4	of	of	ADP
iajs-3329	243	5	applying	apply	VERB
iajs-3329	243	6	the	the	DET
iajs-3329	243	7	double	double	ADJ
iajs-3329	243	8	ee	ee	NOUN
iajs-3329	243	9	integral	integral	ADJ
iajs-3329	243	10	transform	transform	NOUN
iajs-3329	243	11	on	on	ADP
iajs-3329	243	12	partial	partial	ADJ
iajs-3329	243	13	differential	differential	ADJ
iajs-3329	243	14	equations	equation	NOUN
iajs-3329	243	15	:	:	PUNCT
iajs-3329	243	16	example	example	NOUN
iajs-3329	243	17	1	1	X
iajs-3329	243	18	.	.	X
iajs-3329	243	19	consider	consider	VERB
iajs-3329	243	20	the	the	DET
iajs-3329	243	21	telegraph	telegraph	NOUN
iajs-3329	243	22	equation	equation	NOUN
iajs-3329	243	23	𝑢𝑥𝑥	𝑢𝑥𝑥	NOUN
iajs-3329	243	24	=	=	X
iajs-3329	243	25	𝑢𝑡𝑡	𝑢𝑡𝑡	NOUN
iajs-3329	243	26	+	+	X
iajs-3329	244	1	2𝑢𝑡	2𝑢𝑡	ADJ
iajs-3329	245	1	+	+	CCONJ
iajs-3329	245	2	𝑢	𝑢	X
iajs-3329	245	3	,	,	PUNCT
iajs-3329	245	4	(	(	PUNCT
iajs-3329	245	5	1	1	NUM
iajs-3329	245	6	)	)	PUNCT
iajs-3329	245	7	with	with	ADP
iajs-3329	245	8	ics	ics	NOUN
iajs-3329	245	9	and	and	CCONJ
iajs-3329	245	10	bcs	bcs	PROPN
iajs-3329	245	11	𝑢(0	𝑢(0	PROPN
iajs-3329	245	12	,	,	PUNCT
iajs-3329	245	13	𝑡	𝑡	PROPN
iajs-3329	245	14	)	)	PUNCT
iajs-3329	245	15	=	=	SYM
iajs-3329	245	16	𝑒−2𝑡	𝑒−2𝑡	PROPN
iajs-3329	245	17	,	,	PUNCT
iajs-3329	245	18	𝑢𝑥(0	𝑢𝑥(0	PROPN
iajs-3329	245	19	,	,	PUNCT
iajs-3329	245	20	𝑡	𝑡	X
iajs-3329	245	21	)	)	PUNCT
iajs-3329	245	22	=	=	SYM
iajs-3329	246	1	𝑒−2𝑡	𝑒−2𝑡	INTJ
iajs-3329	246	2	,	,	PUNCT
iajs-3329	246	3	𝑢(𝑥	𝑢(𝑥	PROPN
iajs-3329	246	4	,	,	PUNCT
iajs-3329	246	5	0	0	NUM
iajs-3329	246	6	)	)	PUNCT
iajs-3329	246	7	=	=	SYM
iajs-3329	246	8	𝑒𝑥	𝑒𝑥	NOUN
iajs-3329	246	9	,	,	PUNCT
iajs-3329	246	10	𝑢𝑡(𝑥	𝑢𝑡(𝑥	ADJ
iajs-3329	246	11	,	,	PUNCT
iajs-3329	246	12	0	0	X
iajs-3329	246	13	)	)	PUNCT
iajs-3329	246	14	=	=	PRON
iajs-3329	247	1	−2𝑒𝑥.	−2𝑒𝑥.	ADJ
iajs-3329	247	2	(	(	PUNCT
iajs-3329	247	3	2	2	NUM
iajs-3329	247	4	)	)	PUNCT
iajs-3329	247	5	the	the	DET
iajs-3329	247	6	exact	exact	ADJ
iajs-3329	247	7	solution	solution	NOUN
iajs-3329	247	8	of	of	ADP
iajs-3329	247	9	eq	eq	NOUN
iajs-3329	247	10	(	(	PUNCT
iajs-3329	247	11	1	1	NUM
iajs-3329	247	12	)	)	PUNCT
iajs-3329	247	13	is	be	AUX
iajs-3329	247	14	𝑢(𝑥	𝑢(𝑥	PROPN
iajs-3329	247	15	,	,	PUNCT
iajs-3329	247	16	𝑡	𝑡	X
iajs-3329	247	17	)	)	PUNCT
iajs-3329	247	18	=	=	SYM
iajs-3329	247	19	𝑒𝑥−2𝑡.	𝑒𝑥−2𝑡.	NUM
iajs-3329	247	20	using	use	VERB
iajs-3329	247	21	the	the	DET
iajs-3329	247	22	double	double	ADJ
iajs-3329	247	23	complex	complex	NOUN
iajs-3329	247	24	ee	ee	ADP
iajs-3329	247	25	transform	transform	NOUN
iajs-3329	247	26	of	of	ADP
iajs-3329	247	27	both	both	DET
iajs-3329	247	28	sides	side	NOUN
iajs-3329	247	29	to	to	ADP
iajs-3329	247	30	eq	eq	NOUN
iajs-3329	247	31	(	(	PUNCT
iajs-3329	247	32	1	1	NUM
iajs-3329	247	33	)	)	PUNCT
iajs-3329	247	34	,	,	PUNCT
iajs-3329	247	35	we	we	PRON
iajs-3329	247	36	get	get	VERB
iajs-3329	247	37	:	:	PUNCT
iajs-3329	247	38	𝐷𝐸𝐸[𝑢𝑥𝑥	𝐷𝐸𝐸[𝑢𝑥𝑥	X
iajs-3329	247	39	]	]	X
iajs-3329	247	40	=	=	SYM
iajs-3329	247	41	𝐷𝐸𝐸[𝑢𝑡𝑡	𝐷𝐸𝐸[𝑢𝑡𝑡	NOUN
iajs-3329	247	42	]	]	X
iajs-3329	248	1	+	+	CCONJ
iajs-3329	248	2	𝐷𝐸𝐸[2𝑢𝑡	𝐷𝐸𝐸[2𝑢𝑡	PROPN
iajs-3329	248	3	]	]	X
iajs-3329	248	4	+	+	NUM
iajs-3329	248	5	𝐷𝐸𝐸[𝑢	𝐷𝐸𝐸[𝑢	X
iajs-3329	248	6	]	]	PUNCT
iajs-3329	248	7	.	.	PUNCT
iajs-3329	249	1	(	(	PUNCT
iajs-3329	249	2	3	3	NUM
iajs-3329	249	3	)	)	PUNCT
iajs-3329	249	4	eq	eq	NOUN
iajs-3329	249	5	(	(	PUNCT
iajs-3329	249	6	3	3	X
iajs-3329	249	7	)	)	PUNCT
iajs-3329	249	8	can	can	AUX
iajs-3329	249	9	be	be	AUX
iajs-3329	249	10	written	write	VERB
iajs-3329	249	11	as	as	ADP
iajs-3329	249	12	:	:	PUNCT
iajs-3329	249	13	−	−	PROPN
iajs-3329	249	14	𝜕𝐴(0	𝜕𝐴(0	PROPN
iajs-3329	249	15	,	,	PUNCT
iajs-3329	249	16	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	249	17	)	)	PUNCT
iajs-3329	249	18	𝜕𝑥	𝜕𝑥	X
iajs-3329	249	19	−	−	ADV
iajs-3329	249	20	𝑖𝑢𝑛𝐴(0	𝑖𝑢𝑛𝐴(0	SYM
iajs-3329	249	21	,	,	PUNCT
iajs-3329	249	22	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	249	23	)	)	PUNCT
iajs-3329	250	1	−	−	ADP
iajs-3329	250	2	𝑢2𝑛𝐴(𝑖𝑢	𝑢2𝑛𝐴(𝑖𝑢	ADV
iajs-3329	250	3	,	,	PUNCT
iajs-3329	250	4	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	250	5	)	)	PUNCT
iajs-3329	250	6	=	=	SYM
iajs-3329	251	1	−	−	PROPN
iajs-3329	251	2	𝜕𝐴(𝑖𝑢	𝜕𝐴(𝑖𝑢	NOUN
iajs-3329	251	3	,	,	PUNCT
iajs-3329	251	4	0	0	NUM
iajs-3329	251	5	)	)	PUNCT
iajs-3329	251	6	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	251	7	−	−	PROPN
iajs-3329	251	8	𝑖𝑣𝑛𝐴(𝑖𝑢	𝑖𝑣𝑛𝐴(𝑖𝑢	ADP
iajs-3329	251	9	,	,	PUNCT
iajs-3329	251	10	0	0	NUM
iajs-3329	251	11	)	)	PUNCT
iajs-3329	252	1	−	−	PROPN
iajs-3329	253	1	𝑣2𝑛𝐴(𝑖𝑢	𝑣2𝑛𝐴(𝑖𝑢	NOUN
iajs-3329	253	2	,	,	PUNCT
iajs-3329	253	3	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	253	4	)	)	PUNCT
iajs-3329	253	5	−2𝐴(𝑖𝑢	−2𝐴(𝑖𝑢	PROPN
iajs-3329	253	6	,	,	PUNCT
iajs-3329	253	7	0	0	NUM
iajs-3329	253	8	)	)	PUNCT
iajs-3329	254	1	+	+	CCONJ
iajs-3329	254	2	2𝑖𝑣𝑛𝐴(𝑖𝑢	2𝑖𝑣𝑛𝐴(𝑖𝑢	NUM
iajs-3329	254	3	,	,	PUNCT
iajs-3329	254	4	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	254	5	)	)	PUNCT
iajs-3329	255	1	+	+	CCONJ
iajs-3329	255	2	𝐴(𝑖𝑢	𝐴(𝑖𝑢	ADJ
iajs-3329	255	3	,	,	PUNCT
iajs-3329	255	4	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	255	5	)	)	PUNCT
iajs-3329	255	6	.	.	PUNCT
iajs-3329	256	1	(	(	PUNCT
iajs-3329	256	2	4	4	X
iajs-3329	256	3	)	)	PUNCT
iajs-3329	256	4	ihjpas	ihjpa	NOUN
iajs-3329	256	5	.	.	PUNCT
iajs-3329	257	1	37	37	NUM
iajs-3329	257	2	(	(	PUNCT
iajs-3329	257	3	1	1	NUM
iajs-3329	257	4	)	)	PUNCT
iajs-3329	257	5	2024	2024	NUM
iajs-3329	257	6	438	438	NUM
iajs-3329	257	7	besides	besides	ADV
iajs-3329	257	8	by	by	ADP
iajs-3329	257	9	using	use	VERB
iajs-3329	257	10	the	the	DET
iajs-3329	257	11	double	double	ADJ
iajs-3329	257	12	complex	complex	NOUN
iajs-3329	257	13	ee	ee	X
iajs-3329	257	14	transform	transform	NOUN
iajs-3329	257	15	of	of	ADP
iajs-3329	257	16	ics	ic	NOUN
iajs-3329	257	17	and	and	CCONJ
iajs-3329	257	18	bcs	bc	NOUN
iajs-3329	257	19	,	,	PUNCT
iajs-3329	257	20	we	we	PRON
iajs-3329	257	21	have	have	VERB
iajs-3329	257	22	:	:	PUNCT
iajs-3329	257	23	𝐴(0	𝐴(0	NUM
iajs-3329	257	24	,	,	PUNCT
iajs-3329	257	25	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	257	26	)	)	PUNCT
iajs-3329	257	27	=	=	SYM
iajs-3329	257	28	−(−2	−(−2	PRON
iajs-3329	257	29	+	+	NUM
iajs-3329	257	30	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	257	31	)	)	PUNCT
iajs-3329	257	32	4	4	NUM
iajs-3329	258	1	+	+	CCONJ
iajs-3329	258	2	𝑣2𝑛	𝑣2𝑛	ADJ
iajs-3329	258	3	,	,	PUNCT
iajs-3329	258	4	𝐴(𝑖𝑢	𝐴(𝑖𝑢	NOUN
iajs-3329	258	5	,	,	PUNCT
iajs-3329	258	6	0	0	NUM
iajs-3329	258	7	)	)	PUNCT
iajs-3329	258	8	=	=	SYM
iajs-3329	259	1	−(1	−(1	NOUN
iajs-3329	259	2	+	+	CCONJ
iajs-3329	259	3	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	259	4	)	)	PUNCT
iajs-3329	259	5	1	1	NUM
iajs-3329	260	1	+	+	CCONJ
iajs-3329	260	2	𝑢2𝑛	𝑢2𝑛	INTJ
iajs-3329	260	3	,	,	PUNCT
iajs-3329	260	4	𝜕𝐴(0	𝜕𝐴(0	PROPN
iajs-3329	260	5	,	,	PUNCT
iajs-3329	260	6	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	260	7	)	)	PUNCT
iajs-3329	260	8	𝜕𝑥	𝜕𝑥	NOUN
iajs-3329	260	9	=	=	SYM
iajs-3329	261	1	−(−2	−(−2	ADP
iajs-3329	261	2	+	+	NUM
iajs-3329	261	3	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	261	4	)	)	PUNCT
iajs-3329	261	5	4	4	NUM
iajs-3329	261	6	+	+	CCONJ
iajs-3329	261	7	𝑣2𝑛	𝑣2𝑛	ADJ
iajs-3329	261	8	,	,	PUNCT
iajs-3329	261	9	𝜕𝐴(𝑖𝑢	𝜕𝐴(𝑖𝑢	NOUN
iajs-3329	261	10	,	,	PUNCT
iajs-3329	261	11	0	0	NUM
iajs-3329	261	12	)	)	PUNCT
iajs-3329	261	13	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	261	14	=	=	SYM
iajs-3329	261	15	2(1	2(1	NUM
iajs-3329	261	16	+	+	NUM
iajs-3329	261	17	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	261	18	)	)	PUNCT
iajs-3329	261	19	1	1	NUM
iajs-3329	262	1	+	+	CCONJ
iajs-3329	262	2	𝑢2𝑛	𝑢2𝑛	INTJ
iajs-3329	262	3	,	,	PUNCT
iajs-3329	262	4	(	(	PUNCT
iajs-3329	262	5	5	5	X
iajs-3329	262	6	)	)	PUNCT
iajs-3329	262	7	set	set	VERB
iajs-3329	262	8	eq	eq	NOUN
iajs-3329	262	9	(	(	PUNCT
iajs-3329	262	10	5	5	NUM
iajs-3329	262	11	)	)	PUNCT
iajs-3329	262	12	into	into	ADP
iajs-3329	262	13	eq	eq	NOUN
iajs-3329	262	14	(	(	PUNCT
iajs-3329	262	15	4	4	NUM
iajs-3329	262	16	)	)	PUNCT
iajs-3329	262	17	,	,	PUNCT
iajs-3329	262	18	we	we	PRON
iajs-3329	262	19	obtain	obtain	VERB
iajs-3329	262	20	:	:	PUNCT
iajs-3329	262	21	(	(	PUNCT
iajs-3329	262	22	−2	−2	NOUN
iajs-3329	262	23	+	+	CCONJ
iajs-3329	262	24	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	262	25	)	)	PUNCT
iajs-3329	262	26	4	4	NUM
iajs-3329	262	27	+	+	CCONJ
iajs-3329	262	28	𝑣2𝑛	𝑣2𝑛	ADJ
iajs-3329	262	29	+	+	CCONJ
iajs-3329	262	30	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	262	31	(	(	PUNCT
iajs-3329	262	32	−2	−2	NOUN
iajs-3329	262	33	+	+	CCONJ
iajs-3329	262	34	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	262	35	)	)	PUNCT
iajs-3329	262	36	4	4	NUM
iajs-3329	262	37	+	+	CCONJ
iajs-3329	262	38	𝑣2𝑛	𝑣2𝑛	ADJ
iajs-3329	262	39	−	−	NOUN
iajs-3329	262	40	𝑢2𝑛𝐴(𝑖𝑢	𝑢2𝑛𝐴(𝑖𝑢	ADV
iajs-3329	262	41	,	,	PUNCT
iajs-3329	262	42	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	262	43	)	)	PUNCT
iajs-3329	263	1	=	=	SYM
iajs-3329	263	2	−2(1	−2(1	NOUN
iajs-3329	263	3	+	+	CCONJ
iajs-3329	263	4	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	263	5	)	)	PUNCT
iajs-3329	263	6	1	1	NUM
iajs-3329	264	1	+	+	CCONJ
iajs-3329	264	2	𝑢2𝑛	𝑢2𝑛	PUNCT
iajs-3329	264	3	+	+	NUM
iajs-3329	264	4	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	264	5	(	(	PUNCT
iajs-3329	264	6	1	1	NUM
iajs-3329	264	7	+	+	NUM
iajs-3329	264	8	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	264	9	)	)	PUNCT
iajs-3329	264	10	1	1	NUM
iajs-3329	265	1	+	+	CCONJ
iajs-3329	265	2	𝑢2𝑛	𝑢2𝑛	PROPN
iajs-3329	265	3	−	−	PROPN
iajs-3329	265	4	𝑣2𝑛𝐴(𝑖𝑢	𝑣2𝑛𝐴(𝑖𝑢	NOUN
iajs-3329	265	5	,	,	PUNCT
iajs-3329	265	6	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	265	7	)	)	PUNCT
iajs-3329	266	1	+	+	NUM
iajs-3329	266	2	2(1	2(1	NUM
iajs-3329	266	3	+	+	CCONJ
iajs-3329	266	4	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	266	5	)	)	PUNCT
iajs-3329	266	6	1	1	NUM
iajs-3329	267	1	+	+	CCONJ
iajs-3329	267	2	𝑢2𝑛	𝑢2𝑛	PROPN
iajs-3329	267	3	+	+	NUM
iajs-3329	267	4	2𝑖𝑣𝑛𝐴(𝑖𝑢	2𝑖𝑣𝑛𝐴(𝑖𝑢	NUM
iajs-3329	267	5	,	,	PUNCT
iajs-3329	267	6	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	267	7	)	)	PUNCT
iajs-3329	268	1	+	+	CCONJ
iajs-3329	268	2	𝐴(𝑖𝑢	𝐴(𝑖𝑢	ADJ
iajs-3329	268	3	,	,	PUNCT
iajs-3329	268	4	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	268	5	)	)	PUNCT
iajs-3329	268	6	,	,	PUNCT
iajs-3329	268	7	𝐴(𝑖𝑢	𝐴(𝑖𝑢	PROPN
iajs-3329	268	8	,	,	PUNCT
iajs-3329	268	9	𝑖𝑣)(𝑣2𝑛	𝑖𝑣)(𝑣2𝑛	PROPN
iajs-3329	268	10	−	−	PROPN
iajs-3329	268	11	2𝑖𝑣𝑛	2𝑖𝑣𝑛	NUM
iajs-3329	268	12	−	−	PROPN
iajs-3329	268	13	1	1	NUM
iajs-3329	268	14	−	−	PROPN
iajs-3329	268	15	𝑢2𝑛	𝑢2𝑛	NOUN
iajs-3329	268	16	)	)	PUNCT
iajs-3329	268	17	=	=	VERB
iajs-3329	268	18	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	268	19	(	(	PUNCT
iajs-3329	268	20	1	1	NUM
iajs-3329	268	21	+	+	NUM
iajs-3329	268	22	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	268	23	)	)	PUNCT
iajs-3329	268	24	1	1	NUM
iajs-3329	269	1	+	+	CCONJ
iajs-3329	269	2	𝑢2𝑛	𝑢2𝑛	PROPN
iajs-3329	269	3	+	+	NUM
iajs-3329	269	4	𝑢𝑛(𝑣𝑛	𝑢𝑛(𝑣𝑛	PROPN
iajs-3329	269	5	+	+	NUM
iajs-3329	269	6	2𝑖	2𝑖	NUM
iajs-3329	269	7	)	)	PUNCT
iajs-3329	270	1	−	−	PROPN
iajs-3329	270	2	𝑖(𝑣𝑛	𝑖(𝑣𝑛	X
iajs-3329	271	1	+	+	NUM
iajs-3329	271	2	2𝑖	2𝑖	NUM
iajs-3329	271	3	)	)	PUNCT
iajs-3329	271	4	4	4	NUM
iajs-3329	272	1	+	+	CCONJ
iajs-3329	272	2	𝑣2𝑛	𝑣2𝑛	ADJ
iajs-3329	272	3	,	,	PUNCT
iajs-3329	272	4	𝐴(𝑖𝑢	𝐴(𝑖𝑢	ADV
iajs-3329	272	5	,	,	PUNCT
iajs-3329	272	6	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	272	7	)	)	PUNCT
iajs-3329	272	8	=	=	NOUN
iajs-3329	272	9	𝑖𝑣𝑛(1	𝑖𝑣𝑛(1	X
iajs-3329	272	10	+	+	CCONJ
iajs-3329	272	11	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	272	12	)	)	PUNCT
iajs-3329	272	13	1	1	NUM
iajs-3329	273	1	+	+	NUM
iajs-3329	273	2	𝑢2𝑛((𝑣𝑛	𝑢2𝑛((𝑣𝑛	PROPN
iajs-3329	273	3	−	−	NOUN
iajs-3329	273	4	𝑖)2	𝑖)2	PROPN
iajs-3329	273	5	−	−	PROPN
iajs-3329	273	6	𝑢2𝑛	𝑢2𝑛	NOUN
iajs-3329	273	7	)	)	PUNCT
iajs-3329	273	8	+	+	CCONJ
iajs-3329	273	9	(	(	PUNCT
iajs-3329	273	10	𝑣𝑛	𝑣𝑛	ADP
iajs-3329	273	11	+	+	NOUN
iajs-3329	273	12	2𝑖)(𝑢𝑛	2𝑖)(𝑢𝑛	NUM
iajs-3329	273	13	−	−	NOUN
iajs-3329	273	14	𝑖	𝑖	SYM
iajs-3329	273	15	)	)	PUNCT
iajs-3329	273	16	(	(	PUNCT
iajs-3329	273	17	4	4	NUM
iajs-3329	273	18	+	+	SYM
iajs-3329	273	19	𝑣2𝑛)((𝑣𝑛	𝑣2𝑛)((𝑣𝑛	NUM
iajs-3329	273	20	−	−	NOUN
iajs-3329	273	21	𝑖)2	𝑖)2	PROPN
iajs-3329	273	22	−	−	PROPN
iajs-3329	273	23	𝑢2𝑛	𝑢2𝑛	NOUN
iajs-3329	273	24	)	)	PUNCT
iajs-3329	273	25	.	.	PUNCT
iajs-3329	274	1	=	=	PUNCT
iajs-3329	274	2	(	(	PUNCT
iajs-3329	274	3	1	1	NUM
iajs-3329	274	4	+	+	NUM
iajs-3329	274	5	𝑖𝑢𝑛	𝑖𝑢𝑛	NOUN
iajs-3329	274	6	)	)	PUNCT
iajs-3329	274	7	1	1	NUM
iajs-3329	275	1	+	+	CCONJ
iajs-3329	275	2	𝑢2𝑛	𝑢2𝑛	PROPN
iajs-3329	275	3	(	(	PUNCT
iajs-3329	275	4	−2	−2	NOUN
iajs-3329	275	5	+	+	CCONJ
iajs-3329	275	6	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	275	7	)	)	PUNCT
iajs-3329	275	8	4	4	NUM
iajs-3329	275	9	+	+	CCONJ
iajs-3329	275	10	𝑣2𝑛	𝑣2𝑛	ADJ
iajs-3329	275	11	.	.	PUNCT
iajs-3329	276	1	(	(	PUNCT
iajs-3329	276	2	6	6	NUM
iajs-3329	276	3	)	)	PUNCT
iajs-3329	276	4	to	to	PART
iajs-3329	276	5	find	find	VERB
iajs-3329	276	6	the	the	DET
iajs-3329	276	7	exact	exact	ADJ
iajs-3329	276	8	solution	solution	NOUN
iajs-3329	276	9	of	of	ADP
iajs-3329	276	10	eq	eq	NOUN
iajs-3329	276	11	(	(	PUNCT
iajs-3329	276	12	1	1	NUM
iajs-3329	276	13	)	)	PUNCT
iajs-3329	276	14	,	,	PUNCT
iajs-3329	276	15	we	we	PRON
iajs-3329	276	16	use	use	VERB
iajs-3329	276	17	the	the	DET
iajs-3329	276	18	inverse	inverse	NOUN
iajs-3329	276	19	double	double	ADJ
iajs-3329	276	20	complex	complex	NOUN
iajs-3329	276	21	ee	ee	AUX
iajs-3329	276	22	transform	transform	VERB
iajs-3329	276	23	to	to	ADP
iajs-3329	276	24	eq	eq	NOUN
iajs-3329	276	25	(	(	PUNCT
iajs-3329	276	26	6	6	NUM
iajs-3329	276	27	)	)	PUNCT
iajs-3329	276	28	,	,	PUNCT
iajs-3329	276	29	to	to	PART
iajs-3329	276	30	get	get	VERB
iajs-3329	276	31	:	:	PUNCT
iajs-3329	276	32	𝑢(𝑥	𝑢(𝑥	NUM
iajs-3329	276	33	,	,	PUNCT
iajs-3329	276	34	𝑡	𝑡	X
iajs-3329	276	35	)	)	PUNCT
iajs-3329	276	36	=	=	SYM
iajs-3329	277	1	𝑒𝑥−2𝑡.	𝑒𝑥−2𝑡.	NUM
iajs-3329	277	2	example	example	NOUN
iajs-3329	277	3	2	2	X
iajs-3329	277	4	.	.	X
iajs-3329	277	5	consider	consider	VERB
iajs-3329	277	6	the	the	DET
iajs-3329	277	7	wave	wave	NOUN
iajs-3329	277	8	equation	equation	NOUN
iajs-3329	277	9	𝑢𝑥𝑥	𝑢𝑥𝑥	NOUN
iajs-3329	277	10	=	=	SYM
iajs-3329	277	11	𝑢𝑡𝑡	𝑢𝑡𝑡	NOUN
iajs-3329	277	12	,	,	PUNCT
iajs-3329	277	13	(	(	PUNCT
iajs-3329	277	14	7	7	NUM
iajs-3329	277	15	)	)	PUNCT
iajs-3329	277	16	with	with	ADP
iajs-3329	277	17	ics	ics	NOUN
iajs-3329	277	18	and	and	CCONJ
iajs-3329	277	19	bcs	bcs	PROPN
iajs-3329	277	20	𝑢(0	𝑢(0	PROPN
iajs-3329	277	21	,	,	PUNCT
iajs-3329	277	22	𝑡	𝑡	PROPN
iajs-3329	277	23	)	)	PUNCT
iajs-3329	277	24	=	=	SYM
iajs-3329	277	25	2𝑡	2𝑡	NOUN
iajs-3329	277	26	,	,	PUNCT
iajs-3329	277	27	𝑢𝑥(0	𝑢𝑥(0	PROPN
iajs-3329	277	28	,	,	PUNCT
iajs-3329	277	29	𝑡	𝑡	X
iajs-3329	277	30	)	)	PUNCT
iajs-3329	277	31	=	=	SYM
iajs-3329	277	32	cos	cos	ADP
iajs-3329	277	33	𝑡	𝑡	PROPN
iajs-3329	277	34	,	,	PUNCT
iajs-3329	277	35	𝑢(𝑥	𝑢(𝑥	PROPN
iajs-3329	277	36	,	,	PUNCT
iajs-3329	277	37	0	0	NUM
iajs-3329	277	38	)	)	PUNCT
iajs-3329	277	39	=	=	VERB
iajs-3329	277	40	sin	sin	NOUN
iajs-3329	277	41	𝑥	𝑥	X
iajs-3329	277	42	,	,	PUNCT
iajs-3329	277	43	𝑢𝑡(𝑥	𝑢𝑡(𝑥	ADV
iajs-3329	277	44	,	,	PUNCT
iajs-3329	277	45	0	0	NUM
iajs-3329	277	46	)	)	PUNCT
iajs-3329	277	47	=	=	SYM
iajs-3329	277	48	2	2	X
iajs-3329	277	49	.	.	PUNCT
iajs-3329	277	50	(	(	PUNCT
iajs-3329	277	51	8)	8)	NUM
iajs-3329	277	52	the	the	DET
iajs-3329	277	53	exact	exact	ADJ
iajs-3329	277	54	solution	solution	NOUN
iajs-3329	277	55	of	of	ADP
iajs-3329	277	56	eq	eq	NOUN
iajs-3329	277	57	(	(	PUNCT
iajs-3329	277	58	7	7	NUM
iajs-3329	277	59	)	)	PUNCT
iajs-3329	277	60	is	be	AUX
iajs-3329	277	61	𝑢(𝑥	𝑢(𝑥	PROPN
iajs-3329	277	62	,	,	PUNCT
iajs-3329	277	63	𝑡	𝑡	X
iajs-3329	277	64	)	)	PUNCT
iajs-3329	277	65	=	=	VERB
iajs-3329	277	66	sin	sin	NOUN
iajs-3329	278	1	𝑥	𝑥	AUX
iajs-3329	278	2	cos	cos	ADP
iajs-3329	278	3	𝑡	𝑡	PROPN
iajs-3329	278	4	+	+	X
iajs-3329	278	5	2𝑡.	2𝑡.	NUM
iajs-3329	278	6	using	use	VERB
iajs-3329	278	7	the	the	DET
iajs-3329	278	8	double	double	ADJ
iajs-3329	278	9	complex	complex	NOUN
iajs-3329	278	10	ee	ee	ADP
iajs-3329	278	11	transform	transform	NOUN
iajs-3329	278	12	of	of	ADP
iajs-3329	278	13	both	both	DET
iajs-3329	278	14	sides	side	NOUN
iajs-3329	278	15	to	to	ADP
iajs-3329	278	16	eq	eq	NOUN
iajs-3329	278	17	(	(	PUNCT
iajs-3329	278	18	7	7	NUM
iajs-3329	278	19	)	)	PUNCT
iajs-3329	278	20	,	,	PUNCT
iajs-3329	278	21	we	we	PRON
iajs-3329	278	22	get	get	VERB
iajs-3329	278	23	:	:	PUNCT
iajs-3329	278	24	ihjpas	ihjpas	PROPN
iajs-3329	278	25	.	.	PUNCT
iajs-3329	279	1	37	37	NUM
iajs-3329	279	2	(	(	PUNCT
iajs-3329	279	3	1	1	NUM
iajs-3329	279	4	)	)	PUNCT
iajs-3329	279	5	2024	2024	NUM
iajs-3329	279	6	439	439	NUM
iajs-3329	279	7	𝐷𝐸𝐸[𝑢𝑥𝑥	𝐷𝐸𝐸[𝑢𝑥𝑥	NOUN
iajs-3329	279	8	]	]	X
iajs-3329	279	9	=	=	SYM
iajs-3329	279	10	𝐷𝐸𝐸[𝑢𝑡𝑡	𝐷𝐸𝐸[𝑢𝑡𝑡	NOUN
iajs-3329	279	11	]	]	X
iajs-3329	279	12	.	.	PUNCT
iajs-3329	280	1	(	(	PUNCT
iajs-3329	280	2	9	9	NUM
iajs-3329	280	3	)	)	PUNCT
iajs-3329	280	4	eq	eq	NOUN
iajs-3329	280	5	(	(	PUNCT
iajs-3329	280	6	9	9	NUM
iajs-3329	280	7	)	)	PUNCT
iajs-3329	280	8	can	can	AUX
iajs-3329	280	9	be	be	AUX
iajs-3329	280	10	written	write	VERB
iajs-3329	280	11	as	as	ADP
iajs-3329	280	12	:	:	PUNCT
iajs-3329	280	13	−	−	PROPN
iajs-3329	280	14	𝜕𝐴(0	𝜕𝐴(0	PROPN
iajs-3329	280	15	,	,	PUNCT
iajs-3329	280	16	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	280	17	)	)	PUNCT
iajs-3329	280	18	𝜕𝑥	𝜕𝑥	X
iajs-3329	280	19	−	−	ADV
iajs-3329	280	20	𝑖𝑢𝑛𝐴(0	𝑖𝑢𝑛𝐴(0	SYM
iajs-3329	280	21	,	,	PUNCT
iajs-3329	280	22	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	280	23	)	)	PUNCT
iajs-3329	281	1	−	−	ADP
iajs-3329	281	2	𝑢2𝑛𝐴(𝑖𝑢	𝑢2𝑛𝐴(𝑖𝑢	ADV
iajs-3329	281	3	,	,	PUNCT
iajs-3329	281	4	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	281	5	)	)	PUNCT
iajs-3329	281	6	=	=	SYM
iajs-3329	282	1	−	−	PROPN
iajs-3329	282	2	𝜕𝐴(𝑖𝑢	𝜕𝐴(𝑖𝑢	NOUN
iajs-3329	282	3	,	,	PUNCT
iajs-3329	282	4	0	0	NUM
iajs-3329	282	5	)	)	PUNCT
iajs-3329	282	6	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	282	7	−	−	PROPN
iajs-3329	282	8	𝑖𝑣𝑛𝐴(𝑖𝑢	𝑖𝑣𝑛𝐴(𝑖𝑢	ADP
iajs-3329	282	9	,	,	PUNCT
iajs-3329	282	10	0	0	NUM
iajs-3329	282	11	)	)	PUNCT
iajs-3329	282	12	−	−	PROPN
iajs-3329	282	13	𝑣2𝑛𝐴(𝑖𝑢	𝑣2𝑛𝐴(𝑖𝑢	NOUN
iajs-3329	282	14	,	,	PUNCT
iajs-3329	282	15	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	282	16	)	)	PUNCT
iajs-3329	282	17	.	.	PUNCT
iajs-3329	283	1	(	(	PUNCT
iajs-3329	283	2	10	10	NUM
iajs-3329	283	3	)	)	PUNCT
iajs-3329	283	4	besides	besides	ADV
iajs-3329	283	5	by	by	ADP
iajs-3329	283	6	using	use	VERB
iajs-3329	283	7	the	the	DET
iajs-3329	283	8	double	double	ADJ
iajs-3329	283	9	complex	complex	NOUN
iajs-3329	283	10	ee	ee	X
iajs-3329	283	11	transform	transform	NOUN
iajs-3329	283	12	of	of	ADP
iajs-3329	283	13	ics	ic	NOUN
iajs-3329	283	14	and	and	CCONJ
iajs-3329	283	15	bcs	bc	NOUN
iajs-3329	283	16	,	,	PUNCT
iajs-3329	283	17	we	we	PRON
iajs-3329	283	18	have	have	VERB
iajs-3329	283	19	:	:	PUNCT
iajs-3329	283	20	𝐴(0	𝐴(0	NUM
iajs-3329	283	21	,	,	PUNCT
iajs-3329	283	22	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	283	23	)	)	PUNCT
iajs-3329	284	1	=	=	SYM
iajs-3329	284	2	−2	−2	PROPN
iajs-3329	284	3	𝑣2𝑛	𝑣2𝑛	PROPN
iajs-3329	284	4	,	,	PUNCT
iajs-3329	284	5	𝐴(𝑖𝑢	𝐴(𝑖𝑢	PROPN
iajs-3329	284	6	,	,	PUNCT
iajs-3329	284	7	0	0	NUM
iajs-3329	284	8	)	)	PUNCT
iajs-3329	284	9	=	=	SYM
iajs-3329	284	10	−1	−1	NOUN
iajs-3329	284	11	𝑢2𝑛	𝑢2𝑛	INTJ
iajs-3329	284	12	−	−	PROPN
iajs-3329	284	13	1	1	NUM
iajs-3329	284	14	,	,	PUNCT
iajs-3329	284	15	𝜕𝐴(0	𝜕𝐴(0	PROPN
iajs-3329	284	16	,	,	PUNCT
iajs-3329	284	17	𝑖𝑣	𝑖𝑣	ADJ
iajs-3329	284	18	)	)	PUNCT
iajs-3329	284	19	𝜕𝑥	𝜕𝑥	NOUN
iajs-3329	284	20	=	=	PUNCT
iajs-3329	284	21	−𝑖𝑣𝑛	−𝑖𝑣𝑛	NOUN
iajs-3329	284	22	𝑣2𝑛	𝑣2𝑛	ADJ
iajs-3329	284	23	−	−	PROPN
iajs-3329	284	24	1	1	NUM
iajs-3329	284	25	,	,	PUNCT
iajs-3329	284	26	𝜕𝐴(𝑖𝑢	𝜕𝐴(𝑖𝑢	NOUN
iajs-3329	284	27	,	,	PUNCT
iajs-3329	284	28	0	0	NUM
iajs-3329	284	29	)	)	PUNCT
iajs-3329	284	30	𝜕𝑡	𝜕𝑡	NOUN
iajs-3329	285	1	=	=	SYM
iajs-3329	285	2	−2𝑖	−2𝑖	PROPN
iajs-3329	285	3	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	285	4	,	,	PUNCT
iajs-3329	285	5	(	(	PUNCT
iajs-3329	285	6	11	11	NUM
iajs-3329	285	7	)	)	PUNCT
iajs-3329	285	8	set	set	VERB
iajs-3329	285	9	eq	eq	NOUN
iajs-3329	285	10	(	(	PUNCT
iajs-3329	285	11	11	11	NUM
iajs-3329	285	12	)	)	PUNCT
iajs-3329	285	13	into	into	ADP
iajs-3329	285	14	eq	eq	NOUN
iajs-3329	285	15	(	(	PUNCT
iajs-3329	285	16	10	10	NUM
iajs-3329	285	17	)	)	PUNCT
iajs-3329	285	18	,	,	PUNCT
iajs-3329	285	19	we	we	PRON
iajs-3329	285	20	obtain	obtain	VERB
iajs-3329	285	21	:	:	PUNCT
iajs-3329	285	22	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	285	23	𝑣2𝑛	𝑣2𝑛	ADJ
iajs-3329	285	24	−	−	ADP
iajs-3329	285	25	1	1	NUM
iajs-3329	286	1	+	+	CCONJ
iajs-3329	286	2	2𝑖𝑢𝑛	2𝑖𝑢𝑛	NUM
iajs-3329	286	3	𝑣2𝑛	𝑣2𝑛	PROPN
iajs-3329	286	4	−	−	NOUN
iajs-3329	286	5	𝑢2𝑛𝐴(𝑖𝑢	𝑢2𝑛𝐴(𝑖𝑢	ADV
iajs-3329	286	6	,	,	PUNCT
iajs-3329	286	7	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	286	8	)	)	PUNCT
iajs-3329	286	9	=	=	SYM
iajs-3329	287	1	2𝑖	2𝑖	NUM
iajs-3329	287	2	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	287	3	+	+	CCONJ
iajs-3329	287	4	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	287	5	𝑢2𝑛	𝑢2𝑛	INTJ
iajs-3329	287	6	−	−	PROPN
iajs-3329	287	7	1	1	NUM
iajs-3329	287	8	−	−	NOUN
iajs-3329	287	9	𝑣2𝑛𝐴(𝑖𝑢	𝑣2𝑛𝐴(𝑖𝑢	NOUN
iajs-3329	287	10	,	,	PUNCT
iajs-3329	287	11	𝑖𝑣	𝑖𝑣	NUM
iajs-3329	287	12	)	)	PUNCT
iajs-3329	287	13	,	,	PUNCT
iajs-3329	287	14	𝐴(𝑖𝑢	𝐴(𝑖𝑢	PROPN
iajs-3329	287	15	,	,	PUNCT
iajs-3329	287	16	𝑖𝑣)(𝑣2𝑛	𝑖𝑣)(𝑣2𝑛	PROPN
iajs-3329	287	17	−	−	PROPN
iajs-3329	287	18	𝑢2𝑛	𝑢2𝑛	NOUN
iajs-3329	287	19	)	)	PUNCT
iajs-3329	287	20	=	=	SYM
iajs-3329	287	21	2𝑖	2𝑖	NUM
iajs-3329	287	22	𝑢𝑛	𝑢𝑛	NOUN
iajs-3329	288	1	+	+	CCONJ
iajs-3329	288	2	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	288	3	𝑢2𝑛	𝑢2𝑛	INTJ
iajs-3329	288	4	−	−	PROPN
iajs-3329	288	5	1	1	NUM
iajs-3329	288	6	−	−	NOUN
iajs-3329	288	7	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	288	8	𝑣2𝑛	𝑣2𝑛	ADJ
iajs-3329	288	9	−	−	NOUN
iajs-3329	288	10	1	1	NUM
iajs-3329	288	11	−	−	PROPN
iajs-3329	288	12	2𝑖𝑢𝑛	2𝑖𝑢𝑛	PROPN
iajs-3329	288	13	𝑣2𝑛	𝑣2𝑛	PROPN
iajs-3329	288	14	,	,	PUNCT
iajs-3329	288	15	𝐴(𝑖𝑢	𝐴(𝑖𝑢	PROPN
iajs-3329	288	16	,	,	PUNCT
iajs-3329	288	17	𝑖𝑣	𝑖𝑣	PUNCT
iajs-3329	288	18	)	)	PUNCT
iajs-3329	289	1	=	=	SYM
iajs-3329	289	2	2𝑖𝑣2𝑛	2𝑖𝑣2𝑛	NUM
iajs-3329	289	3	−	−	PROPN
iajs-3329	289	4	2𝑖𝑢2𝑛	2𝑖𝑢2𝑛	NUM
iajs-3329	289	5	𝑢𝑛𝑣2𝑛(𝑣2𝑛	𝑢𝑛𝑣2𝑛(𝑣2𝑛	ADJ
iajs-3329	289	6	−	−	PROPN
iajs-3329	289	7	𝑢2𝑛	𝑢2𝑛	NOUN
iajs-3329	289	8	)	)	PUNCT
iajs-3329	289	9	+	+	PUNCT
iajs-3329	290	1	𝑖𝑣𝑛(𝑣2𝑛	𝑖𝑣𝑛(𝑣2𝑛	ADP
iajs-3329	290	2	−	−	NOUN
iajs-3329	290	3	1	1	NUM
iajs-3329	290	4	)	)	PUNCT
iajs-3329	290	5	−	−	PROPN
iajs-3329	290	6	𝑖𝑣𝑛(𝑢2𝑛	𝑖𝑣𝑛(𝑢2𝑛	PUNCT
iajs-3329	290	7	−	−	PROPN
iajs-3329	290	8	1	1	NUM
iajs-3329	290	9	)	)	PUNCT
iajs-3329	290	10	(	(	PUNCT
iajs-3329	290	11	𝑢2𝑛	𝑢2𝑛	PROPN
iajs-3329	290	12	−	−	PROPN
iajs-3329	290	13	1)(𝑣2𝑛	1)(𝑣2𝑛	NUM
iajs-3329	290	14	−	−	PROPN
iajs-3329	290	15	1)(𝑣2𝑛	1)(𝑣2𝑛	NUM
iajs-3329	290	16	−	−	PROPN
iajs-3329	290	17	𝑢2𝑛	𝑢2𝑛	NOUN
iajs-3329	290	18	)	)	PUNCT
iajs-3329	290	19	=	=	SYM
iajs-3329	290	20	2𝑖	2𝑖	NOUN
iajs-3329	290	21	𝑢𝑛𝑣2𝑛	𝑢𝑛𝑣2𝑛	PUNCT
iajs-3329	290	22	+	+	CCONJ
iajs-3329	290	23	𝑖𝑣𝑛	𝑖𝑣𝑛	VERB
iajs-3329	290	24	(	(	PUNCT
iajs-3329	290	25	𝑢2𝑛	𝑢2𝑛	PROPN
iajs-3329	290	26	−	−	PROPN
iajs-3329	290	27	1)(𝑣2𝑛	1)(𝑣2𝑛	NUM
iajs-3329	290	28	−	−	PROPN
iajs-3329	290	29	1	1	NUM
iajs-3329	290	30	)	)	PUNCT
iajs-3329	290	31	.	.	PUNCT
iajs-3329	291	1	(	(	PUNCT
iajs-3329	291	2	12	12	NUM
iajs-3329	291	3	)	)	PUNCT
iajs-3329	291	4	to	to	PART
iajs-3329	291	5	find	find	VERB
iajs-3329	291	6	the	the	DET
iajs-3329	291	7	exact	exact	ADJ
iajs-3329	291	8	solution	solution	NOUN
iajs-3329	291	9	of	of	ADP
iajs-3329	291	10	eq	eq	NOUN
iajs-3329	291	11	(	(	PUNCT
iajs-3329	291	12	7	7	NUM
iajs-3329	291	13	)	)	PUNCT
iajs-3329	291	14	,	,	PUNCT
iajs-3329	291	15	we	we	PRON
iajs-3329	291	16	use	use	VERB
iajs-3329	291	17	the	the	DET
iajs-3329	291	18	inverse	inverse	NOUN
iajs-3329	291	19	double	double	ADJ
iajs-3329	291	20	complex	complex	NOUN
iajs-3329	291	21	ee	ee	AUX
iajs-3329	291	22	transform	transform	VERB
iajs-3329	291	23	to	to	ADP
iajs-3329	291	24	eq	eq	NOUN
iajs-3329	291	25	(	(	PUNCT
iajs-3329	291	26	12	12	NUM
iajs-3329	291	27	)	)	PUNCT
iajs-3329	291	28	,	,	PUNCT
iajs-3329	291	29	to	to	PART
iajs-3329	291	30	get	get	VERB
iajs-3329	291	31	:	:	PUNCT
iajs-3329	291	32	𝑢(𝑥	𝑢(𝑥	NUM
iajs-3329	291	33	,	,	PUNCT
iajs-3329	291	34	𝑡	𝑡	X
iajs-3329	291	35	)	)	PUNCT
iajs-3329	291	36	=	=	NOUN
iajs-3329	291	37	2𝑡	2𝑡	NOUN
iajs-3329	291	38	+	+	CCONJ
iajs-3329	291	39	sin	sin	NOUN
iajs-3329	291	40	𝑥	𝑥	X
iajs-3329	291	41	cos	cos	PROPN
iajs-3329	291	42	𝑡.	𝑡.	NOUN
iajs-3329	291	43	5	5	NUM
iajs-3329	291	44	.	.	PUNCT
iajs-3329	291	45	conclusion	conclusion	NOUN
iajs-3329	291	46	in	in	ADP
iajs-3329	291	47	this	this	DET
iajs-3329	291	48	paper	paper	NOUN
iajs-3329	291	49	,	,	PUNCT
iajs-3329	291	50	we	we	PRON
iajs-3329	291	51	have	have	AUX
iajs-3329	291	52	dealt	deal	VERB
iajs-3329	291	53	with	with	ADP
iajs-3329	291	54	the	the	DET
iajs-3329	291	55	new	new	ADJ
iajs-3329	291	56	double	double	ADJ
iajs-3329	291	57	transform	transform	NOUN
iajs-3329	291	58	(	(	PUNCT
iajs-3329	291	59	double	double	ADJ
iajs-3329	291	60	complex	complex	NOUN
iajs-3329	291	61	ee	ee	NOUN
iajs-3329	291	62	transform	transform	NOUN
iajs-3329	291	63	)	)	PUNCT
iajs-3329	291	64	and	and	CCONJ
iajs-3329	291	65	some	some	DET
iajs-3329	291	66	important	important	ADJ
iajs-3329	291	67	properties	property	NOUN
iajs-3329	291	68	and	and	CCONJ
iajs-3329	291	69	definitions	definition	NOUN
iajs-3329	291	70	to	to	ADP
iajs-3329	291	71	it	it	PRON
iajs-3329	291	72	,	,	PUNCT
iajs-3329	291	73	then	then	ADV
iajs-3329	291	74	after	after	ADP
iajs-3329	291	75	that	that	SCONJ
iajs-3329	291	76	we	we	PRON
iajs-3329	291	77	applied	apply	VERB
iajs-3329	291	78	this	this	DET
iajs-3329	291	79	transform	transform	NOUN
iajs-3329	291	80	to	to	PART
iajs-3329	291	81	solve	solve	VERB
iajs-3329	291	82	the	the	DET
iajs-3329	291	83	telegraph	telegraph	NOUN
iajs-3329	291	84	equation	equation	NOUN
iajs-3329	291	85	,	,	PUNCT
iajs-3329	291	86	and	and	CCONJ
iajs-3329	291	87	wave	wave	NOUN
iajs-3329	291	88	equation	equation	NOUN
iajs-3329	291	89	,	,	PUNCT
iajs-3329	291	90	which	which	PRON
iajs-3329	291	91	are	be	AUX
iajs-3329	291	92	important	important	ADJ
iajs-3329	291	93	partial	partial	ADJ
iajs-3329	291	94	differential	differential	ADJ
iajs-3329	291	95	equations	equation	NOUN
iajs-3329	291	96	in	in	ADP
iajs-3329	291	97	applied	applied	ADJ
iajs-3329	291	98	mathematics	mathematic	NOUN
iajs-3329	291	99	.	.	PUNCT
iajs-3329	292	1	acknowledgment	acknowledgment	NOUN
iajs-3329	292	2	the	the	DET
iajs-3329	292	3	authors	author	NOUN
iajs-3329	292	4	are	be	AUX
iajs-3329	292	5	greatly	greatly	ADV
iajs-3329	292	6	appreciated	appreciate	VERB
iajs-3329	292	7	the	the	DET
iajs-3329	292	8	referees	referee	NOUN
iajs-3329	292	9	for	for	ADP
iajs-3329	292	10	their	their	PRON
iajs-3329	292	11	valuable	valuable	ADJ
iajs-3329	292	12	comments	comment	NOUN
iajs-3329	292	13	and	and	CCONJ
iajs-3329	292	14	suggestions	suggestion	NOUN
iajs-3329	292	15	for	for	ADP
iajs-3329	292	16	improving	improve	VERB
iajs-3329	292	17	the	the	DET
iajs-3329	292	18	paper	paper	NOUN
iajs-3329	292	19	conflict	conflict	NOUN
iajs-3329	292	20	of	of	ADP
iajs-3329	292	21	interest	interest	NOUN
iajs-3329	292	22	the	the	DET
iajs-3329	292	23	authors	author	NOUN
iajs-3329	292	24	declare	declare	VERB
iajs-3329	292	25	that	that	SCONJ
iajs-3329	292	26	they	they	PRON
iajs-3329	292	27	have	have	VERB
iajs-3329	292	28	no	no	DET
iajs-3329	292	29	conflicts	conflict	NOUN
iajs-3329	292	30	of	of	ADP
iajs-3329	292	31	interest	interest	NOUN
iajs-3329	292	32	.	.	PUNCT
iajs-3329	293	1	funding	funding	NOUN
iajs-3329	293	2	there	there	PRON
iajs-3329	293	3	is	be	VERB
iajs-3329	293	4	no	no	DET
iajs-3329	293	5	financial	financial	ADJ
iajs-3329	293	6	support	support	NOUN
iajs-3329	293	7	in	in	ADP
iajs-3329	293	8	preparation	preparation	NOUN
iajs-3329	293	9	for	for	ADP
iajs-3329	293	10	the	the	DET
iajs-3329	293	11	publication	publication	NOUN
iajs-3329	293	12	.	.	PUNCT
iajs-3329	294	1	ihjpas	ihjpas	PROPN
iajs-3329	294	2	.	.	PUNCT
iajs-3329	295	1	37	37	NUM
iajs-3329	295	2	(	(	PUNCT
iajs-3329	295	3	1	1	NUM
iajs-3329	295	4	)	)	PUNCT
iajs-3329	295	5	2024	2024	NUM
iajs-3329	295	6	440	440	NUM
iajs-3329	295	7	references	reference	NOUN
iajs-3329	295	8	1	1	NUM
iajs-3329	295	9	.	.	PUNCT
iajs-3329	296	1	turq	turq	PROPN
iajs-3329	296	2	s.	s.	PROPN
iajs-3329	296	3	m.	m.	PROPN
iajs-3329	296	4	;	;	PUNCT
iajs-3329	296	5	kuffi	kuffi	PROPN
iajs-3329	296	6	e.	e.	PROPN
iajs-3329	296	7	a.	a.	PROPN
iajs-3329	296	8	on	on	ADP
iajs-3329	296	9	the	the	DET
iajs-3329	296	10	double	double	ADJ
iajs-3329	296	11	of	of	ADP
iajs-3329	296	12	the	the	DET
iajs-3329	296	13	emad	emad	NOUN
iajs-3329	296	14	-	-	PUNCT
iajs-3329	296	15	falih	falih	ADJ
iajs-3329	296	16	transformation	transformation	NOUN
iajs-3329	296	17	and	and	CCONJ
iajs-3329	296	18	its	its	PRON
iajs-3329	296	19	properties	property	NOUN
iajs-3329	296	20	with	with	ADP
iajs-3329	296	21	applications	application	NOUN
iajs-3329	296	22	.	.	PUNCT
iajs-3329	297	1	ibn	ibn	PROPN
iajs-3329	297	2	al	al	PROPN
iajs-3329	297	3	-	-	PUNCT
iajs-3329	297	4	haitham	haitham	PROPN
iajs-3329	297	5	journal	journal	PROPN
iajs-3329	297	6	for	for	ADP
iajs-3329	297	7	pure	pure	ADJ
iajs-3329	297	8	and	and	CCONJ
iajs-3329	297	9	applied	applied	ADJ
iajs-3329	297	10	sciences	science	NOUN
iajs-3329	297	11	2022	2022	NUM
iajs-3329	297	12	,	,	PUNCT
iajs-3329	297	13	35(4	35(4	NUM
iajs-3329	297	14	)	)	PUNCT
iajs-3329	297	15	,	,	PUNCT
iajs-3329	297	16	220–234	220–234	NUM
iajs-3329	297	17	.	.	NOUN
iajs-3329	298	1	2	2	X
iajs-3329	298	2	.	.	X
iajs-3329	298	3	saadeh	saadeh	PROPN
iajs-3329	298	4	,	,	PUNCT
iajs-3329	298	5	r.	r.	PROPN
iajs-3329	298	6	;	;	PUNCT
iajs-3329	298	7	ghazal	ghazal	PROPN
iajs-3329	298	8	,	,	PUNCT
iajs-3329	298	9	b.	b.	PROPN
iajs-3329	298	10	;	;	PUNCT
iajs-3329	298	11	burqan	burqan	PROPN
iajs-3329	298	12	,	,	PUNCT
iajs-3329	298	13	a.	a.	NOUN
iajs-3329	298	14	a	a	DET
iajs-3329	298	15	study	study	NOUN
iajs-3329	298	16	of	of	ADP
iajs-3329	298	17	double	double	ADJ
iajs-3329	298	18	general	general	ADJ
iajs-3329	298	19	transform	transform	NOUN
iajs-3329	298	20	for	for	ADP
iajs-3329	298	21	solving	solve	VERB
iajs-3329	298	22	fractional	fractional	ADJ
iajs-3329	298	23	partial	partial	ADJ
iajs-3329	298	24	differential	differential	NOUN
iajs-3329	298	25	equations	equation	NOUN
iajs-3329	298	26	.	.	PUNCT
iajs-3329	299	1	mathematical	mathematical	ADJ
iajs-3329	299	2	methods	method	NOUN
iajs-3329	299	3	in	in	ADP
iajs-3329	299	4	the	the	DET
iajs-3329	299	5	applied	apply	VERB
iajs-3329	299	6	sciences	science	NOUN
iajs-3329	299	7	2023	2023	NUM
iajs-3329	299	8	,	,	PUNCT
iajs-3329	299	9	46(16	46(16	NOUN
iajs-3329	299	10	)	)	PUNCT
iajs-3329	299	11	,	,	PUNCT
iajs-3329	299	12	17158	17158	NUM
iajs-3329	299	13	-	-	SYM
iajs-3329	299	14	17176	17176	NUM
iajs-3329	299	15	.	.	PUNCT
iajs-3329	300	1	3	3	X
iajs-3329	300	2	.	.	X
iajs-3329	300	3	issa	issa	PROPN
iajs-3329	300	4	,	,	PUNCT
iajs-3329	300	5	a.	a.	NOUN
iajs-3329	300	6	;	;	PUNCT
iajs-3329	300	7	kuffi	kuffi	PROPN
iajs-3329	300	8	,	,	PUNCT
iajs-3329	300	9	e.	e.	PROPN
iajs-3329	300	10	a.	a.	PROPN
iajs-3329	300	11	;	;	PUNCT
iajs-3329	300	12	düz	düz	PROPN
iajs-3329	300	13	,	,	PUNCT
iajs-3329	300	14	m.	m.	VERB
iajs-3329	300	15	a	a	DET
iajs-3329	300	16	further	further	ADJ
iajs-3329	300	17	generalization	generalization	NOUN
iajs-3329	300	18	of	of	ADP
iajs-3329	300	19	the	the	DET
iajs-3329	300	20	general	general	ADJ
iajs-3329	300	21	polynomial	polynomial	ADJ
iajs-3329	300	22	transform	transform	NOUN
iajs-3329	300	23	and	and	CCONJ
iajs-3329	300	24	its	its	PRON
iajs-3329	300	25	basic	basic	ADJ
iajs-3329	300	26	characteristics	characteristic	NOUN
iajs-3329	300	27	and	and	CCONJ
iajs-3329	300	28	applications	application	NOUN
iajs-3329	300	29	.	.	PUNCT
iajs-3329	301	1	journal	journal	PROPN
iajs-3329	301	2	of	of	ADP
iajs-3329	301	3	university	university	PROPN
iajs-3329	301	4	of	of	ADP
iajs-3329	301	5	anbar	anbar	NOUN
iajs-3329	301	6	for	for	ADP
iajs-3329	301	7	pure	pure	ADJ
iajs-3329	301	8	science	science	NOUN
iajs-3329	301	9	2023	2023	NUM
iajs-3329	301	10	,	,	PUNCT
iajs-3329	301	11	17(2	17(2	NUM
iajs-3329	301	12	)	)	PUNCT
iajs-3329	301	13	,	,	PUNCT
iajs-3329	301	14	338–342	338–342	NUM
iajs-3329	301	15	.	.	PUNCT
iajs-3329	302	1	4	4	NUM
iajs-3329	302	2	.	.	X
iajs-3329	302	3	kilicman	kilicman	NOUN
iajs-3329	302	4	,	,	PUNCT
iajs-3329	302	5	a.	a.	NOUN
iajs-3329	302	6	;	;	PUNCT
iajs-3329	302	7	gadain	gadain	NOUN
iajs-3329	302	8	,	,	PUNCT
iajs-3329	302	9	h.	h.	PROPN
iajs-3329	302	10	an	an	DET
iajs-3329	302	11	application	application	NOUN
iajs-3329	302	12	of	of	ADP
iajs-3329	302	13	double	double	ADJ
iajs-3329	302	14	laplace	laplace	NOUN
iajs-3329	302	15	transform	transform	NOUN
iajs-3329	302	16	and	and	CCONJ
iajs-3329	302	17	double	double	ADJ
iajs-3329	302	18	sumudu	sumudu	NOUN
iajs-3329	302	19	transform	transform	NOUN
iajs-3329	302	20	.	.	PUNCT
iajs-3329	303	1	lobachevskii	lobachevskii	PROPN
iajs-3329	303	2	journal	journal	PROPN
iajs-3329	303	3	of	of	ADP
iajs-3329	303	4	mathematics	mathematics	PROPN
iajs-3329	303	5	2009	2009	NUM
iajs-3329	303	6	,	,	PUNCT
iajs-3329	303	7	30(3	30(3	NUM
iajs-3329	303	8	)	)	PUNCT
iajs-3329	303	9	,	,	PUNCT
iajs-3329	303	10	214	214	NUM
iajs-3329	303	11	-	-	SYM
iajs-3329	303	12	223	223	NUM
iajs-3329	303	13	.	.	PUNCT
iajs-3329	304	1	5	5	NUM
iajs-3329	304	2	.	.	X
iajs-3329	304	3	ramadan	ramadan	PROPN
iajs-3329	304	4	,	,	PUNCT
iajs-3329	304	5	m.	m.	NOUN
iajs-3329	304	6	a.	a.	NOUN
iajs-3329	304	7	;	;	PUNCT
iajs-3329	304	8	hadhoud	hadhoud	PROPN
iajs-3329	304	9	,	,	PUNCT
iajs-3329	304	10	a.	a.	PROPN
iajs-3329	304	11	r.	r.	PROPN
iajs-3329	304	12	double	double	PROPN
iajs-3329	304	13	ramadan	ramadan	PROPN
iajs-3329	304	14	group	group	PROPN
iajs-3329	304	15	integral	integral	ADJ
iajs-3329	304	16	transform	transform	NOUN
iajs-3329	304	17	:	:	PUNCT
iajs-3329	304	18	definition	definition	NOUN
iajs-3329	304	19	and	and	CCONJ
iajs-3329	304	20	properties	property	NOUN
iajs-3329	304	21	with	with	ADP
iajs-3329	304	22	applications	application	NOUN
iajs-3329	304	23	to	to	ADP
iajs-3329	304	24	partial	partial	ADJ
iajs-3329	304	25	differential	differential	NOUN
iajs-3329	304	26	equations	equation	NOUN
iajs-3329	304	27	.	.	PUNCT
iajs-3329	305	1	applied	apply	VERB
iajs-3329	305	2	mathematics	mathematic	NOUN
iajs-3329	305	3	and	and	CCONJ
iajs-3329	305	4	information	information	NOUN
iajs-3329	305	5	sciences	science	NOUN
iajs-3329	305	6	2018	2018	NUM
iajs-3329	305	7	,	,	PUNCT
iajs-3329	305	8	12	12	NUM
iajs-3329	305	9	,	,	PUNCT
iajs-3329	305	10	389	389	NUM
iajs-3329	305	11	-	-	SYM
iajs-3329	305	12	396	396	NUM
iajs-3329	305	13	.	.	PUNCT
iajs-3329	306	1	6	6	NUM
iajs-3329	306	2	.	.	X
iajs-3329	306	3	yang	yang	PROPN
iajs-3329	306	4	,	,	PUNCT
iajs-3329	306	5	x.	x.	PROPN
iajs-3329	306	6	j.	j.	PROPN
iajs-3329	307	1	a	a	DET
iajs-3329	307	2	new	new	ADJ
iajs-3329	307	3	integral	integral	ADJ
iajs-3329	307	4	transform	transform	NOUN
iajs-3329	307	5	operator	operator	NOUN
iajs-3329	307	6	for	for	ADP
iajs-3329	307	7	solving	solve	VERB
iajs-3329	307	8	the	the	DET
iajs-3329	307	9	heat	heat	NOUN
iajs-3329	307	10	-	-	PUNCT
iajs-3329	307	11	diffusion	diffusion	NOUN
iajs-3329	307	12	problem	problem	NOUN
iajs-3329	307	13	.	.	PUNCT
iajs-3329	308	1	applied	apply	VERB
iajs-3329	308	2	mathematics	mathematics	NOUN
iajs-3329	308	3	letters	letter	NOUN
iajs-3329	308	4	2017	2017	NUM
iajs-3329	308	5	,	,	PUNCT
iajs-3329	308	6	64	64	NUM
iajs-3329	308	7	,	,	PUNCT
iajs-3329	308	8	193	193	NUM
iajs-3329	308	9	-	-	SYM
iajs-3329	308	10	197	197	NUM
iajs-3329	308	11	.	.	PUNCT
iajs-3329	309	1	7	7	X
iajs-3329	309	2	.	.	X
iajs-3329	309	3	dhunde	dhunde	PROPN
iajs-3329	309	4	,	,	PUNCT
iajs-3329	309	5	r.	r.	PROPN
iajs-3329	309	6	r.	r.	PROPN
iajs-3329	309	7	;	;	PUNCT
iajs-3329	309	8	waghmare	waghmare	NOUN
iajs-3329	309	9	,	,	PUNCT
iajs-3329	309	10	g.	g.	PROPN
iajs-3329	309	11	l.	l.	PROPN
iajs-3329	309	12	double	double	PROPN
iajs-3329	309	13	laplace	laplace	PROPN
iajs-3329	309	14	transform	transform	NOUN
iajs-3329	309	15	method	method	NOUN
iajs-3329	309	16	in	in	ADP
iajs-3329	309	17	mathematical	mathematical	ADJ
iajs-3329	309	18	physics	physics	NOUN
iajs-3329	309	19	.	.	PUNCT
iajs-3329	310	1	international	international	ADJ
iajs-3329	310	2	journal	journal	PROPN
iajs-3329	310	3	of	of	ADP
iajs-3329	310	4	theoretical	theoretical	ADJ
iajs-3329	310	5	and	and	CCONJ
iajs-3329	310	6	mathematical	mathematical	ADJ
iajs-3329	310	7	physics	physics	NOUN
iajs-3329	310	8	2017	2017	NUM
iajs-3329	310	9	,	,	PUNCT
iajs-3329	310	10	7	7	NUM
iajs-3329	310	11	,	,	PUNCT
iajs-3329	310	12	14	14	NUM
iajs-3329	310	13	-	-	SYM
iajs-3329	310	14	20	20	NUM
iajs-3329	310	15	.	.	NOUN
iajs-3329	310	16	8	8	NUM
iajs-3329	310	17	.	.	X
iajs-3329	310	18	tchuenche	tchuenche	PROPN
iajs-3329	310	19	,	,	PUNCT
iajs-3329	310	20	j.	j.	PROPN
iajs-3329	310	21	m.	m.	PROPN
iajs-3329	310	22	;	;	PUNCT
iajs-3329	310	23	mbare	mbare	PROPN
iajs-3329	310	24	,	,	PUNCT
iajs-3329	310	25	n.s	n.s	PROPN
iajs-3329	310	26	.	.	PROPN
iajs-3329	311	1	an	an	DET
iajs-3329	311	2	application	application	NOUN
iajs-3329	311	3	of	of	ADP
iajs-3329	311	4	the	the	DET
iajs-3329	311	5	double	double	ADJ
iajs-3329	311	6	sumudu	sumudu	NOUN
iajs-3329	311	7	transform	transform	NOUN
iajs-3329	311	8	.	.	PUNCT
iajs-3329	312	1	applied	apply	VERB
iajs-3329	312	2	mathematical	mathematical	ADJ
iajs-3329	312	3	sciences	science	NOUN
iajs-3329	312	4	2007	2007	NUM
iajs-3329	312	5	,	,	PUNCT
iajs-3329	312	6	1(1	1(1	NUM
iajs-3329	312	7	)	)	PUNCT
iajs-3329	312	8	,	,	PUNCT
iajs-3329	312	9	31–39	31–39	NUM
iajs-3329	312	10	.	.	PUNCT
iajs-3329	313	1	9	9	X
iajs-3329	313	2	.	.	X
iajs-3329	313	3	eltayeb	eltayeb	PROPN
iajs-3329	313	4	,	,	PUNCT
iajs-3329	313	5	h.	h.	PROPN
iajs-3329	313	6	;	;	PUNCT
iajs-3329	313	7	kilicman	kilicman	NOUN
iajs-3329	313	8	,	,	PUNCT
iajs-3329	313	9	a.	a.	NOUN
iajs-3329	313	10	on	on	ADP
iajs-3329	313	11	double	double	ADJ
iajs-3329	313	12	sumudu	sumudu	NOUN
iajs-3329	313	13	transform	transform	NOUN
iajs-3329	313	14	and	and	CCONJ
iajs-3329	313	15	double	double	ADJ
iajs-3329	313	16	laplace	laplace	NOUN
iajs-3329	313	17	transform	transform	NOUN
iajs-3329	313	18	.	.	PUNCT
iajs-3329	314	1	malaysian	malaysian	ADJ
iajs-3329	314	2	journal	journal	PROPN
iajs-3329	314	3	of	of	ADP
iajs-3329	314	4	mathematical	mathematical	ADJ
iajs-3329	314	5	sciences	science	NOUN
iajs-3329	314	6	2010	2010	NUM
iajs-3329	314	7	,	,	PUNCT
iajs-3329	314	8	4	4	NUM
iajs-3329	314	9	,	,	PUNCT
iajs-3329	314	10	17–30	17–30	NUM
iajs-3329	314	11	.	.	PUNCT
iajs-3329	315	1	10	10	NUM
iajs-3329	315	2	.	.	X
iajs-3329	315	3	ali	ali	PROPN
iajs-3329	315	4	,	,	PUNCT
iajs-3329	315	5	a.	a.	NOUN
iajs-3329	315	6	;	;	PUNCT
iajs-3329	315	7	suwan	suwan	PROPN
iajs-3329	315	8	,	,	PUNCT
iajs-3329	315	9	i.	i.	NOUN
iajs-3329	315	10	;	;	PUNCT
iajs-3329	315	11	abdeljawad	abdeljawad	NOUN
iajs-3329	315	12	,	,	PUNCT
iajs-3329	315	13	t.	t.	PROPN
iajs-3329	315	14	numerical	numerical	PROPN
iajs-3329	315	15	simulation	simulation	PROPN
iajs-3329	315	16	of	of	ADP
iajs-3329	315	17	time	time	NOUN
iajs-3329	315	18	partial	partial	ADJ
iajs-3329	315	19	fractional	fractional	ADJ
iajs-3329	315	20	diffusion	diffusion	NOUN
iajs-3329	315	21	model	model	NOUN
iajs-3329	315	22	by	by	ADP
iajs-3329	315	23	laplace	laplace	NOUN
iajs-3329	315	24	transform	transform	NOUN
iajs-3329	315	25	.	.	PUNCT
iajs-3329	315	26	aims	aim	VERB
iajs-3329	315	27	mathematics	mathematics	PROPN
iajs-3329	315	28	2022	2022	NUM
iajs-3329	315	29	,	,	PUNCT
iajs-3329	315	30	7(2	7(2	NUM
iajs-3329	315	31	)	)	PUNCT
iajs-3329	315	32	,	,	PUNCT
iajs-3329	315	33	2878	2878	NUM
iajs-3329	315	34	-	-	SYM
iajs-3329	315	35	2890	2890	NUM
iajs-3329	315	36	.	.	PUNCT
iajs-3329	316	1	11	11	NUM
iajs-3329	316	2	.	.	X
iajs-3329	316	3	mohand	mohand	NOUN
iajs-3329	316	4	,	,	PUNCT
iajs-3329	316	5	m.	m.	NOUN
iajs-3329	316	6	;	;	PUNCT
iajs-3329	316	7	mahgoub	mahgoub	NOUN
iajs-3329	316	8	,	,	PUNCT
iajs-3329	316	9	a.	a.	NOUN
iajs-3329	316	10	the	the	DET
iajs-3329	316	11	new	new	ADJ
iajs-3329	316	12	integral	integral	ADJ
iajs-3329	316	13	transform	transform	NOUN
iajs-3329	316	14	(	(	PUNCT
iajs-3329	316	15	mohand	mohand	NOUN
iajs-3329	316	16	transform	transform	NOUN
iajs-3329	316	17	)	)	PUNCT
iajs-3329	316	18	,	,	PUNCT
iajs-3329	316	19	advances	advance	NOUN
iajs-3329	316	20	in	in	ADP
iajs-3329	316	21	theoretical	theoretical	ADJ
iajs-3329	316	22	and	and	CCONJ
iajs-3329	316	23	applied	apply	VERB
iajs-3329	316	24	mathematics	mathematic	NOUN
iajs-3329	316	25	2017	2017	NUM
iajs-3329	316	26	,	,	PUNCT
iajs-3329	316	27	12	12	NUM
iajs-3329	316	28	,	,	PUNCT
iajs-3329	316	29	113–120	113–120	NUM
iajs-3329	316	30	.	.	NOUN
iajs-3329	316	31	12	12	NUM
iajs-3329	316	32	.	.	PUNCT
iajs-3329	317	1	kamal	kamal	PROPN
iajs-3329	317	2	,	,	PUNCT
iajs-3329	317	3	a.	a.	NOUN
iajs-3329	317	4	;	;	PUNCT
iajs-3329	317	5	sedeeg	sedeeg	NOUN
iajs-3329	317	6	,	,	PUNCT
iajs-3329	317	7	h.	h.	PROPN
iajs-3329	317	8	the	the	DET
iajs-3329	317	9	new	new	ADJ
iajs-3329	317	10	integral	integral	ADJ
iajs-3329	317	11	transform	transform	NOUN
iajs-3329	317	12	kamal	kamal	PROPN
iajs-3329	317	13	transform	transform	NOUN
iajs-3329	317	14	,	,	PUNCT
iajs-3329	317	15	advances	advance	NOUN
iajs-3329	317	16	in	in	ADP
iajs-3329	317	17	theoretical	theoretical	ADJ
iajs-3329	317	18	and	and	CCONJ
iajs-3329	317	19	applied	apply	VERB
iajs-3329	317	20	mathematics	mathematic	NOUN
iajs-3329	317	21	2016	2016	NUM
iajs-3329	317	22	,	,	PUNCT
iajs-3329	317	23	11	11	NUM
iajs-3329	317	24	,	,	PUNCT
iajs-3329	317	25	451–458	451–458	NUM
iajs-3329	317	26	.	.	NOUN
iajs-3329	317	27	13	13	NUM
iajs-3329	317	28	.	.	PUNCT
iajs-3329	318	1	verma	verma	PROPN
iajs-3329	318	2	,	,	PUNCT
iajs-3329	318	3	d.	d.	PROPN
iajs-3329	318	4	;	;	PUNCT
iajs-3329	318	5	alam	alam	PROPN
iajs-3329	318	6	,	,	PUNCT
iajs-3329	318	7	a.	a.	NOUN
iajs-3329	318	8	;	;	PUNCT
iajs-3329	318	9	singh	singh	PROPN
iajs-3329	318	10	,	,	PUNCT
iajs-3329	318	11	a.	a.	NOUN
iajs-3329	318	12	p.	p.	NOUN
iajs-3329	318	13	applications	application	NOUN
iajs-3329	318	14	of	of	ADP
iajs-3329	318	15	aboodh	aboodh	PROPN
iajs-3329	318	16	transform	transform	NOUN
iajs-3329	318	17	.	.	PUNCT
iajs-3329	319	1	international	international	ADJ
iajs-3329	319	2	research	research	PROPN
iajs-3329	319	3	journal	journal	NOUN
iajs-3329	319	4	of	of	ADP
iajs-3329	319	5	innovations	innovation	NOUN
iajs-3329	319	6	in	in	ADP
iajs-3329	319	7	engineering	engineering	NOUN
iajs-3329	319	8	and	and	CCONJ
iajs-3329	319	9	technology	technology	NOUN
iajs-3329	319	10	2020	2020	NUM
iajs-3329	319	11	,	,	PUNCT
iajs-3329	319	12	4	4	NUM
iajs-3329	319	13	,	,	PUNCT
iajs-3329	319	14	47–51	47–51	NUM
iajs-3329	319	15	.	.	NOUN
iajs-3329	319	16	14	14	NUM
iajs-3329	319	17	.	.	PUNCT
iajs-3329	320	1	jaabar	jaabar	PROPN
iajs-3329	320	2	,	,	PUNCT
iajs-3329	320	3	s.m	s.m	PROPN
iajs-3329	320	4	.	.	PROPN
iajs-3329	320	5	;	;	PUNCT
iajs-3329	320	6	hussain	hussain	PROPN
iajs-3329	320	7	,	,	PUNCT
iajs-3329	320	8	a.h	a.h	PROPN
iajs-3329	320	9	.	.	PROPN
iajs-3329	320	10	solving	solve	VERB
iajs-3329	320	11	linear	linear	NOUN
iajs-3329	320	12	system	system	NOUN
iajs-3329	320	13	of	of	ADP
iajs-3329	320	14	third	third	ADJ
iajs-3329	320	15	order	order	NOUN
iajs-3329	320	16	of	of	ADP
iajs-3329	320	17	pdes	pde	NOUN
iajs-3329	320	18	by	by	ADP
iajs-3329	320	19	using	use	VERB
iajs-3329	320	20	alzughair	alzughair	NOUN
iajs-3329	320	21	transform	transform	NOUN
iajs-3329	320	22	,	,	PUNCT
iajs-3329	320	23	journal	journal	NOUN
iajs-3329	320	24	of	of	ADP
iajs-3329	320	25	discrete	discrete	ADJ
iajs-3329	320	26	mathematical	mathematical	ADJ
iajs-3329	320	27	sciences	science	NOUN
iajs-3329	320	28	and	and	CCONJ
iajs-3329	320	29	cryptography	cryptography	NOUN
iajs-3329	320	30	2021	2021	NUM
iajs-3329	320	31	,	,	PUNCT
iajs-3329	320	32	24	24	NUM
iajs-3329	320	33	,	,	PUNCT
iajs-3329	320	34	1683–1688	1683–1688	NUM
iajs-3329	320	35	.	.	PUNCT
iajs-3329	320	36	15	15	NUM
iajs-3329	320	37	.	.	PUNCT
iajs-3329	321	1	ahmed	ahmed	PROPN
iajs-3329	321	2	,	,	PUNCT
iajs-3329	321	3	s.a	s.a	PROPN
iajs-3329	321	4	.	.	PROPN
iajs-3329	321	5	;	;	PUNCT
iajs-3329	321	6	elzaki	elzaki	PROPN
iajs-3329	321	7	,	,	PUNCT
iajs-3329	321	8	t.m	t.m	PROPN
iajs-3329	321	9	.	.	PROPN
iajs-3329	321	10	;	;	PUNCT
iajs-3329	321	11	elbadri	elbadri	ADJ
iajs-3329	321	12	,	,	PUNCT
iajs-3329	321	13	m.	m.	NOUN
iajs-3329	321	14	;	;	PUNCT
iajs-3329	321	15	mohamed	mohamed	PROPN
iajs-3329	321	16	,	,	PUNCT
iajs-3329	321	17	m.z	m.z	PROPN
iajs-3329	321	18	.	.	NOUN
iajs-3329	321	19	solution	solution	NOUN
iajs-3329	321	20	of	of	ADP
iajs-3329	321	21	partial	partial	ADJ
iajs-3329	321	22	differential	differential	ADJ
iajs-3329	321	23	equations	equation	NOUN
iajs-3329	321	24	by	by	ADP
iajs-3329	321	25	new	new	ADJ
iajs-3329	321	26	double	double	ADJ
iajs-3329	321	27	integral	integral	ADJ
iajs-3329	321	28	transform	transform	NOUN
iajs-3329	321	29	(	(	PUNCT
iajs-3329	321	30	laplace	laplace	NOUN
iajs-3329	321	31	-	-	PUNCT
iajs-3329	321	32	sumudu	sumudu	NOUN
iajs-3329	321	33	transform	transform	NOUN
iajs-3329	321	34	)	)	PUNCT
iajs-3329	321	35	,	,	PUNCT
iajs-3329	321	36	ain	ain	PROPN
iajs-3329	321	37	shams	sham	VERB
iajs-3329	321	38	engineering	engineering	PROPN
iajs-3329	321	39	journal	journal	PROPN
iajs-3329	321	40	2021	2021	NUM
iajs-3329	321	41	,	,	PUNCT
iajs-3329	321	42	12	12	NUM
iajs-3329	321	43	,	,	PUNCT
iajs-3329	321	44	4045–4049	4045–4049	NUM
iajs-3329	321	45	.	.	NOUN
iajs-3329	321	46	16	16	NUM
iajs-3329	321	47	.	.	PUNCT
iajs-3329	322	1	georgieva	georgieva	PROPN
iajs-3329	322	2	,	,	PUNCT
iajs-3329	322	3	a.	a.	NOUN
iajs-3329	322	4	double	double	ADJ
iajs-3329	322	5	fuzzy	fuzzy	ADJ
iajs-3329	322	6	sumudu	sumudu	NOUN
iajs-3329	322	7	transform	transform	NOUN
iajs-3329	322	8	to	to	PART
iajs-3329	322	9	solve	solve	VERB
iajs-3329	322	10	partial	partial	ADJ
iajs-3329	322	11	volterra	volterra	NOUN
iajs-3329	322	12	fuzzy	fuzzy	ADJ
iajs-3329	322	13	integrodifferential	integrodifferential	ADJ
iajs-3329	322	14	equations	equation	NOUN
iajs-3329	322	15	.	.	PUNCT
iajs-3329	323	1	mathematics	mathematic	NOUN
iajs-3329	323	2	2020	2020	NUM
iajs-3329	323	3	,	,	PUNCT
iajs-3329	323	4	8(5	8(5	NUM
iajs-3329	323	5	)	)	PUNCT
iajs-3329	323	6	,	,	PUNCT
iajs-3329	323	7	692	692	NUM
iajs-3329	323	8	.	.	NOUN
iajs-3329	323	9	17	17	NUM
iajs-3329	323	10	.	.	PUNCT
iajs-3329	323	11	debnath	debnath	PROPN
iajs-3329	323	12	,	,	PUNCT
iajs-3329	323	13	l.	l.	PROPN
iajs-3329	323	14	the	the	DET
iajs-3329	323	15	double	double	ADJ
iajs-3329	323	16	laplace	laplace	NOUN
iajs-3329	323	17	transforms	transform	VERB
iajs-3329	323	18	and	and	CCONJ
iajs-3329	323	19	their	their	PRON
iajs-3329	323	20	properties	property	NOUN
iajs-3329	323	21	with	with	ADP
iajs-3329	323	22	applications	application	NOUN
iajs-3329	323	23	to	to	ADP
iajs-3329	323	24	functional	functional	ADJ
iajs-3329	323	25	,	,	PUNCT
iajs-3329	323	26	integral	integral	ADJ
iajs-3329	323	27	and	and	CCONJ
iajs-3329	323	28	partial	partial	ADJ
iajs-3329	323	29	differential	differential	ADJ
iajs-3329	323	30	equations	equation	NOUN
iajs-3329	323	31	.	.	PUNCT
iajs-3329	324	1	international	international	ADJ
iajs-3329	324	2	journal	journal	PROPN
iajs-3329	324	3	of	of	ADP
iajs-3329	324	4	applied	applied	ADJ
iajs-3329	324	5	and	and	CCONJ
iajs-3329	324	6	computational	computational	ADJ
iajs-3329	324	7	mathematics	mathematic	NOUN
iajs-3329	324	8	2016	2016	NUM
iajs-3329	324	9	,	,	PUNCT
iajs-3329	324	10	2	2	NUM
iajs-3329	324	11	,	,	PUNCT
iajs-3329	324	12	223–241	223–241	NUM
iajs-3329	324	13	.	.	PUNCT
iajs-3329	325	1	18	18	NUM
iajs-3329	325	2	.	.	PUNCT
iajs-3329	325	3	kiliçman	kiliçman	NOUN
iajs-3329	325	4	,	,	PUNCT
iajs-3329	325	5	a.	a.	NOUN
iajs-3329	325	6	;	;	PUNCT
iajs-3329	325	7	omran	omran	NOUN
iajs-3329	325	8	,	,	PUNCT
iajs-3329	325	9	m.	m.	NOUN
iajs-3329	325	10	on	on	ADP
iajs-3329	325	11	double	double	ADJ
iajs-3329	325	12	natural	natural	ADJ
iajs-3329	325	13	transform	transform	NOUN
iajs-3329	325	14	and	and	CCONJ
iajs-3329	325	15	its	its	PRON
iajs-3329	325	16	applications	application	NOUN
iajs-3329	325	17	.	.	PUNCT
iajs-3329	326	1	journal	journal	PROPN
iajs-3329	326	2	of	of	ADP
iajs-3329	326	3	nonlinear	nonlinear	PROPN
iajs-3329	326	4	sciences	sciences	PROPN
iajs-3329	326	5	&	&	CCONJ
iajs-3329	326	6	applications	application	NOUN
iajs-3329	326	7	(	(	PUNCT
iajs-3329	326	8	jnsa	jnsa	PROPN
iajs-3329	326	9	)	)	PUNCT
iajs-3329	326	10	2017	2017	NUM
iajs-3329	326	11	,	,	PUNCT
iajs-3329	326	12	10	10	NUM
iajs-3329	326	13	(	(	PUNCT
iajs-3329	326	14	4	4	NUM
iajs-3329	326	15	)	)	PUNCT
iajs-3329	326	16	,	,	PUNCT
iajs-3329	326	17	1744–1754	1744–1754	NUM
iajs-3329	326	18	.	.	PUNCT
iajs-3329	327	1	ihjpas	ihjpas	PROPN
iajs-3329	327	2	.	.	PUNCT
iajs-3329	328	1	37	37	NUM
iajs-3329	328	2	(	(	PUNCT
iajs-3329	328	3	1	1	NUM
iajs-3329	328	4	)	)	PUNCT
iajs-3329	328	5	2024	2024	NUM
iajs-3329	328	6	441	441	NUM
iajs-3329	328	7	19	19	NUM
iajs-3329	328	8	.	.	PUNCT
iajs-3329	328	9	aboodh	aboodh	PROPN
iajs-3329	328	10	,	,	PUNCT
iajs-3329	328	11	k.s	k.s	PROPN
iajs-3329	328	12	.	.	PROPN
iajs-3329	328	13	;	;	PUNCT
iajs-3329	328	14	farah	farah	PROPN
iajs-3329	328	15	,	,	PUNCT
iajs-3329	328	16	r.a	r.a	PROPN
iajs-3329	328	17	.	.	PROPN
iajs-3329	328	18	;	;	PUNCT
iajs-3329	328	19	almardy	almardy	PROPN
iajs-3329	328	20	,	,	PUNCT
iajs-3329	328	21	i.a	i.a	PROPN
iajs-3329	328	22	.	.	PROPN
iajs-3329	328	23	;	;	PUNCT
iajs-3329	328	24	almostafa	almostafa	PROPN
iajs-3329	328	25	,	,	PUNCT
iajs-3329	328	26	f.a	f.a	PROPN
iajs-3329	328	27	.	.	PROPN
iajs-3329	328	28	solution	solution	NOUN
iajs-3329	328	29	of	of	ADP
iajs-3329	328	30	partial	partial	ADJ
iajs-3329	328	31	integrodifferential	integrodifferential	ADJ
iajs-3329	328	32	equations	equation	NOUN
iajs-3329	328	33	by	by	ADP
iajs-3329	328	34	using	use	VERB
iajs-3329	328	35	aboodh	aboodh	PROPN
iajs-3329	328	36	and	and	CCONJ
iajs-3329	328	37	double	double	ADJ
iajs-3329	328	38	aboodh	aboodh	NOUN
iajs-3329	328	39	transforms	transform	VERB
iajs-3329	328	40	methods	method	NOUN
iajs-3329	328	41	.	.	PUNCT
iajs-3329	329	1	global	global	ADJ
iajs-3329	329	2	journal	journal	PROPN
iajs-3329	329	3	of	of	ADP
iajs-3329	329	4	pure	pure	ADJ
iajs-3329	329	5	and	and	CCONJ
iajs-3329	329	6	applied	applied	ADJ
iajs-3329	329	7	mathematics	mathematic	NOUN
iajs-3329	329	8	2016	2016	NUM
iajs-3329	329	9	,	,	PUNCT
iajs-3329	329	10	13(8	13(8	NUM
iajs-3329	329	11	)	)	PUNCT
iajs-3329	329	12	,	,	PUNCT
iajs-3329	329	13	4347	4347	NUM
iajs-3329	329	14	-	-	SYM
iajs-3329	329	15	4360	4360	NUM
iajs-3329	329	16	.	.	PUNCT
iajs-3329	330	1	20	20	NUM
iajs-3329	330	2	.	.	X
iajs-3329	330	3	sonawane	sonawane	PROPN
iajs-3329	330	4	,	,	PUNCT
iajs-3329	330	5	s.m	s.m	PROPN
iajs-3329	330	6	.	.	PROPN
iajs-3329	330	7	;	;	PUNCT
iajs-3329	330	8	kiwne	kiwne	PROPN
iajs-3329	330	9	,	,	PUNCT
iajs-3329	330	10	s.b	s.b	PROPN
iajs-3329	330	11	.	.	PROPN
iajs-3329	330	12	double	double	ADJ
iajs-3329	330	13	kamal	kamal	PROPN
iajs-3329	330	14	transforms	transform	VERB
iajs-3329	330	15	:	:	PUNCT
iajs-3329	330	16	properties	property	NOUN
iajs-3329	330	17	and	and	CCONJ
iajs-3329	330	18	applications	application	NOUN
iajs-3329	330	19	.	.	PUNCT
iajs-3329	331	1	j.	j.	PROPN
iajs-3329	331	2	appl	appl	PROPN
iajs-3329	331	3	.	.	PUNCT
iajs-3329	332	1	sci	sci	PROPN
iajs-3329	332	2	.	.	PUNCT
iajs-3329	333	1	comput	comput	PROPN
iajs-3329	333	2	2019	2019	NUM
iajs-3329	333	3	,	,	PUNCT
iajs-3329	333	4	4	4	NUM
iajs-3329	333	5	,	,	PUNCT
iajs-3329	333	6	1727	1727	NUM
iajs-3329	333	7	-	-	SYM
iajs-3329	333	8	1739	1739	NUM
iajs-3329	333	9	.	.	PUNCT
iajs-3329	334	1	21	21	NUM
iajs-3329	334	2	.	.	PUNCT
iajs-3329	335	1	jadhav	jadhav	PROPN
iajs-3329	335	2	,	,	PUNCT
iajs-3329	335	3	s.	s.	PROPN
iajs-3329	335	4	;	;	PUNCT
iajs-3329	335	5	basotia	basotia	PROPN
iajs-3329	335	6	,	,	PUNCT
iajs-3329	335	7	v.	v.	PROPN
iajs-3329	335	8	;	;	PUNCT
iajs-3329	335	9	hiwarekar	hiwarekar	PROPN
iajs-3329	335	10	,	,	PUNCT
iajs-3329	335	11	a.	a.	NOUN
iajs-3329	335	12	an	an	DET
iajs-3329	335	13	application	application	NOUN
iajs-3329	335	14	of	of	ADP
iajs-3329	335	15	the	the	DET
iajs-3329	335	16	double	double	ADJ
iajs-3329	335	17	elzaki	elzaki	NOUN
iajs-3329	335	18	transform	transform	NOUN
iajs-3329	335	19	in	in	ADP
iajs-3329	335	20	partial	partial	ADJ
iajs-3329	335	21	differential	differential	ADJ
iajs-3329	335	22	equations	equation	NOUN
iajs-3329	335	23	.	.	PUNCT
iajs-3329	336	1	international	international	ADJ
iajs-3329	336	2	journal	journal	NOUN
iajs-3329	336	3	of	of	ADP
iajs-3329	336	4	advanced	advanced	ADJ
iajs-3329	336	5	research	research	NOUN
iajs-3329	336	6	in	in	ADP
iajs-3329	336	7	science	science	NOUN
iajs-3329	336	8	,	,	PUNCT
iajs-3329	336	9	communication	communication	NOUN
iajs-3329	336	10	and	and	CCONJ
iajs-3329	336	11	technology	technology	NOUN
iajs-3329	336	12	(	(	PUNCT
iajs-3329	336	13	ijarsct	ijarsct	PROPN
iajs-3329	336	14	)	)	PUNCT
iajs-3329	336	15	2022	2022	NUM
iajs-3329	336	16	,	,	PUNCT
iajs-3329	336	17	2(1	2(1	NUM
iajs-3329	336	18	)	)	PUNCT
iajs-3329	336	19	,	,	PUNCT
iajs-3329	336	20	181	181	NUM
iajs-3329	336	21	-	-	SYM
iajs-3329	336	22	186	186	NUM
iajs-3329	336	23	.	.	PUNCT
iajs-3329	337	1	22	22	NUM
iajs-3329	337	2	.	.	PUNCT
iajs-3329	338	1	alfaqeih	alfaqeih	PROPN
iajs-3329	338	2	,	,	PUNCT
iajs-3329	338	3	s.	s.	PROPN
iajs-3329	338	4	;	;	PUNCT
iajs-3329	338	5	misirli	misirli	NOUN
iajs-3329	338	6	,	,	PUNCT
iajs-3329	338	7	e.	e.	PROPN
iajs-3329	338	8	on	on	ADP
iajs-3329	338	9	double	double	ADJ
iajs-3329	338	10	shehu	shehu	NOUN
iajs-3329	338	11	transform	transform	VERB
iajs-3329	338	12	and	and	CCONJ
iajs-3329	338	13	its	its	PRON
iajs-3329	338	14	properties	property	NOUN
iajs-3329	338	15	with	with	ADP
iajs-3329	338	16	applications	application	NOUN
iajs-3329	338	17	.	.	PUNCT
iajs-3329	339	1	international	international	ADJ
iajs-3329	339	2	journal	journal	NOUN
iajs-3329	339	3	of	of	ADP
iajs-3329	339	4	analysis	analysis	NOUN
iajs-3329	339	5	and	and	CCONJ
iajs-3329	339	6	applications	application	NOUN
iajs-3329	339	7	2020	2020	NUM
iajs-3329	339	8	,	,	PUNCT
iajs-3329	339	9	18(3	18(3	NUM
iajs-3329	339	10	)	)	PUNCT
iajs-3329	339	11	,	,	PUNCT
iajs-3329	339	12	381	381	NUM
iajs-3329	339	13	-	-	SYM
iajs-3329	339	14	395	395	NUM
iajs-3329	339	15	.	.	PUNCT
iajs-3329	339	16	23	23	NUM
iajs-3329	339	17	.	.	PUNCT
iajs-3329	340	1	patil	patil	PROPN
iajs-3329	340	2	,	,	PUNCT
iajs-3329	340	3	d.p	d.p	PROPN
iajs-3329	340	4	.	.	PROPN
iajs-3329	340	5	double	double	ADJ
iajs-3329	340	6	mahgoub	mahgoub	NOUN
iajs-3329	340	7	transform	transform	VERB
iajs-3329	340	8	for	for	ADP
iajs-3329	340	9	the	the	DET
iajs-3329	340	10	solution	solution	NOUN
iajs-3329	340	11	of	of	ADP
iajs-3329	340	12	parabolic	parabolic	ADJ
iajs-3329	340	13	boundary	boundary	ADJ
iajs-3329	340	14	value	value	NOUN
iajs-3329	340	15	problems	problem	NOUN
iajs-3329	340	16	.	.	PUNCT
iajs-3329	341	1	journal	journal	NOUN
iajs-3329	341	2	of	of	ADP
iajs-3329	341	3	engineering	engineering	NOUN
iajs-3329	341	4	mathematics	mathematic	NOUN
iajs-3329	341	5	and	and	CCONJ
iajs-3329	341	6	stat	stat	NOUN
iajs-3329	341	7	2020	2020	NUM
iajs-3329	341	8	,	,	PUNCT
iajs-3329	341	9	4(2	4(2	NUM
iajs-3329	341	10	)	)	PUNCT
iajs-3329	341	11	,	,	PUNCT
iajs-3329	341	12	28	28	NUM
iajs-3329	341	13	-	-	SYM
iajs-3329	341	14	36	36	NUM
iajs-3329	341	15	.	.	PUNCT
iajs-3329	341	16	24	24	NUM
iajs-3329	341	17	.	.	PUNCT
iajs-3329	342	1	gupta	gupta	PROPN
iajs-3329	342	2	,	,	PUNCT
iajs-3329	342	3	r.	r.	PROPN
iajs-3329	342	4	solving	solve	VERB
iajs-3329	342	5	electric	electric	ADJ
iajs-3329	342	6	transmission	transmission	NOUN
iajs-3329	342	7	line	line	NOUN
iajs-3329	342	8	wave	wave	NOUN
iajs-3329	342	9	equations	equation	NOUN
iajs-3329	342	10	via	via	ADP
iajs-3329	342	11	double	double	ADJ
iajs-3329	342	12	gupta	gupta	PROPN
iajs-3329	342	13	transform	transform	NOUN
iajs-3329	342	14	.	.	PUNCT
iajs-3329	343	1	international	international	ADJ
iajs-3329	343	2	journal	journal	NOUN
iajs-3329	343	3	of	of	ADP
iajs-3329	343	4	advanced	advanced	ADJ
iajs-3329	343	5	research	research	NOUN
iajs-3329	343	6	in	in	ADP
iajs-3329	343	7	electrical	electrical	ADJ
iajs-3329	343	8	,	,	PUNCT
iajs-3329	343	9	electronics	electronic	NOUN
iajs-3329	343	10	and	and	CCONJ
iajs-3329	343	11	instrumentation	instrumentation	NOUN
iajs-3329	343	12	engineering	engineering	NOUN
iajs-3329	343	13	(	(	PUNCT
iajs-3329	343	14	ijareeie	ijareeie	PROPN
iajs-3329	343	15	)	)	PUNCT
iajs-3329	343	16	2022	2022	NUM
iajs-3329	343	17	,	,	PUNCT
iajs-3329	343	18	11(6	11(6	NUM
iajs-3329	343	19	)	)	PUNCT
iajs-3329	343	20	,	,	PUNCT
iajs-3329	343	21	2533	2533	NUM
iajs-3329	343	22	-	-	SYM
iajs-3329	343	23	2538	2538	NUM
iajs-3329	343	24	.	.	PUNCT
iajs-3329	344	1	25	25	NUM
iajs-3329	344	2	.	.	PUNCT
iajs-3329	345	1	saadeh	saadeh	PROPN
iajs-3329	345	2	,	,	PUNCT
iajs-3329	345	3	r.	r.	PROPN
iajs-3329	345	4	applications	application	NOUN
iajs-3329	345	5	of	of	ADP
iajs-3329	345	6	double	double	ADJ
iajs-3329	345	7	ara	ara	ADJ
iajs-3329	345	8	integral	integral	ADJ
iajs-3329	345	9	transform	transform	NOUN
iajs-3329	345	10	.	.	PUNCT
iajs-3329	346	1	computation	computation	NOUN
iajs-3329	346	2	2022	2022	NUM
iajs-3329	346	3	,	,	PUNCT
iajs-3329	346	4	10(12	10(12	NUM
iajs-3329	346	5	)	)	PUNCT
iajs-3329	346	6	,	,	PUNCT
iajs-3329	346	7	216	216	NUM
iajs-3329	346	8	.	.	NOUN
iajs-3329	346	9	26	26	NUM
iajs-3329	346	10	.	.	PUNCT
iajs-3329	347	1	patil	patil	PROPN
iajs-3329	347	2	,	,	PUNCT
iajs-3329	347	3	d.p	d.p	PROPN
iajs-3329	347	4	.	.	PROPN
iajs-3329	347	5	;	;	PUNCT
iajs-3329	347	6	patil	patil	PROPN
iajs-3329	347	7	,	,	PUNCT
iajs-3329	347	8	d.s	d.s	PROPN
iajs-3329	347	9	.	.	PROPN
iajs-3329	347	10	;	;	PUNCT
iajs-3329	347	11	kanchan	kanchan	PROPN
iajs-3329	347	12	,	,	PUNCT
iajs-3329	347	13	s.m	s.m	PROPN
iajs-3329	347	14	.	.	PUNCT
iajs-3329	348	1	new	new	ADJ
iajs-3329	348	2	integral	integral	ADJ
iajs-3329	348	3	transform,“double	transform,“double	ADJ
iajs-3329	348	4	kushare	kushare	NOUN
iajs-3329	348	5	transform	transform	NOUN
iajs-3329	348	6	”	"	PUNCT
iajs-3329	348	7	.	.	PUNCT
iajs-3329	349	1	ire	ire	ADJ
iajs-3329	349	2	journals	journal	NOUN
iajs-3329	349	3	2022	2022	NUM
iajs-3329	349	4	,	,	PUNCT
iajs-3329	349	5	6(1	6(1	NUM
iajs-3329	349	6	)	)	PUNCT
iajs-3329	349	7	,	,	PUNCT
iajs-3329	349	8	45	45	NUM
iajs-3329	349	9	-	-	SYM
iajs-3329	349	10	52	52	NUM
iajs-3329	349	11	.	.	PUNCT
iajs-3329	349	12	27	27	NUM
iajs-3329	349	13	.	.	PUNCT
iajs-3329	350	1	ahmed	ahmed	PROPN
iajs-3329	350	2	,	,	PUNCT
iajs-3329	350	3	s.a	s.a	PROPN
iajs-3329	350	4	.	.	PROPN
iajs-3329	350	5	;	;	PUNCT
iajs-3329	350	6	elzaki	elzaki	PROPN
iajs-3329	350	7	,	,	PUNCT
iajs-3329	350	8	t.m	t.m	PROPN
iajs-3329	350	9	.	.	PROPN
iajs-3329	350	10	;	;	PUNCT
iajs-3329	350	11	elbadri	elbadri	ADJ
iajs-3329	350	12	,	,	PUNCT
iajs-3329	350	13	m.	m.	NOUN
iajs-3329	350	14	;	;	PUNCT
iajs-3329	350	15	mohamed	mohamed	PROPN
iajs-3329	350	16	,	,	PUNCT
iajs-3329	350	17	m.z	m.z	PROPN
iajs-3329	350	18	.	.	NOUN
iajs-3329	350	19	solution	solution	NOUN
iajs-3329	350	20	of	of	ADP
iajs-3329	350	21	partial	partial	ADJ
iajs-3329	350	22	differential	differential	ADJ
iajs-3329	350	23	equations	equation	NOUN
iajs-3329	350	24	by	by	ADP
iajs-3329	350	25	new	new	ADJ
iajs-3329	350	26	double	double	ADJ
iajs-3329	350	27	integral	integral	ADJ
iajs-3329	350	28	transform	transform	NOUN
iajs-3329	350	29	(	(	PUNCT
iajs-3329	350	30	laplace	laplace	NOUN
iajs-3329	350	31	-	-	PUNCT
iajs-3329	350	32	sumudu	sumudu	NOUN
iajs-3329	350	33	transform	transform	NOUN
iajs-3329	350	34	)	)	PUNCT
iajs-3329	350	35	.	.	PUNCT
iajs-3329	351	1	ain	ain	PROPN
iajs-3329	351	2	shams	sham	VERB
iajs-3329	351	3	engineering	engineering	PROPN
iajs-3329	351	4	journal	journal	PROPN
iajs-3329	351	5	2021	2021	NUM
iajs-3329	351	6	,	,	PUNCT
iajs-3329	351	7	12(4	12(4	NUM
iajs-3329	351	8	)	)	PUNCT
iajs-3329	351	9	,	,	PUNCT
iajs-3329	351	10	4045	4045	NUM
iajs-3329	351	11	-	-	SYM
iajs-3329	351	12	4049	4049	NUM
iajs-3329	351	13	.	.	PUNCT
iajs-3329	352	1	28	28	NUM
iajs-3329	352	2	.	.	X
iajs-3329	352	3	aboodh	aboodh	PROPN
iajs-3329	352	4	,	,	PUNCT
iajs-3329	352	5	k.s	k.s	PROPN
iajs-3329	352	6	.	.	PROPN
iajs-3329	352	7	;	;	PUNCT
iajs-3329	353	1	farah	farah	PROPN
iajs-3329	353	2	,	,	PUNCT
iajs-3329	353	3	r.a	r.a	PROPN
iajs-3329	353	4	.	.	PROPN
iajs-3329	353	5	;	;	PUNCT
iajs-3329	353	6	almardy	almardy	PROPN
iajs-3329	353	7	,	,	PUNCT
iajs-3329	353	8	i.a	i.a	PROPN
iajs-3329	353	9	.	.	PROPN
iajs-3329	353	10	;	;	PUNCT
iajs-3329	353	11	almostafa	almostafa	PROPN
iajs-3329	353	12	,	,	PUNCT
iajs-3329	353	13	f.a	f.a	PROPN
iajs-3329	353	14	.	.	PROPN
iajs-3329	353	15	solution	solution	NOUN
iajs-3329	353	16	of	of	ADP
iajs-3329	353	17	telegraph	telegraph	NOUN
iajs-3329	353	18	equation	equation	NOUN
iajs-3329	353	19	by	by	ADP
iajs-3329	353	20	using	use	VERB
iajs-3329	353	21	double	double	ADJ
iajs-3329	353	22	aboodh	aboodh	NOUN
iajs-3329	353	23	transform	transform	NOUN
iajs-3329	353	24	,	,	PUNCT
iajs-3329	353	25	elixir	elixir	NOUN
iajs-3329	353	26	international	international	PROPN
iajs-3329	353	27	journal	journal	PROPN
iajs-3329	353	28	2017	2017	NUM
iajs-3329	353	29	,	,	PUNCT
iajs-3329	353	30	110	110	NUM
iajs-3329	353	31	,	,	PUNCT
iajs-3329	353	32	48213–48217	48213–48217	NOUN
iajs-3329	353	33	.	.	PUNCT
iajs-3329	353	34	29	29	NUM
iajs-3329	353	35	.	.	X
iajs-3329	354	1	kuffi	kuffi	PROPN
iajs-3329	354	2	,	,	PUNCT
iajs-3329	354	3	e.	e.	PROPN
iajs-3329	354	4	a.	a.	PROPN
iajs-3329	354	5	;	;	PUNCT
iajs-3329	354	6	abbas	abbas	PROPN
iajs-3329	354	7	,	,	PUNCT
iajs-3329	354	8	e.	e.	PROPN
iajs-3329	354	9	s.	s.	PROPN
iajs-3329	355	1	a	a	DET
iajs-3329	355	2	complex	complex	ADJ
iajs-3329	355	3	integral	integral	ADJ
iajs-3329	355	4	transform	transform	NOUN
iajs-3329	355	5	(	(	PUNCT
iajs-3329	355	6	complex	complex	ADJ
iajs-3329	355	7	ee	ee	NOUN
iajs-3329	355	8	transform	transform	NOUN
iajs-3329	355	9	)	)	PUNCT
iajs-3329	355	10	and	and	CCONJ
iajs-3329	355	11	its	its	PRON
iajs-3329	355	12	applications	application	NOUN
iajs-3329	355	13	,	,	PUNCT
iajs-3329	355	14	mathematical	mathematical	ADJ
iajs-3329	355	15	statistician	statistician	NOUN
iajs-3329	355	16	and	and	CCONJ
iajs-3329	355	17	engineering	engineering	NOUN
iajs-3329	355	18	applications	application	NOUN
iajs-3329	355	19	2022	2022	NUM
iajs-3329	355	20	,	,	PUNCT
iajs-3329	355	21	71	71	NUM
iajs-3329	355	22	,	,	PUNCT
iajs-3329	355	23	263–266	263–266	NUM
iajs-3329	355	24	.	.	PUNCT
iajs-3329	355	25	30	30	NUM
iajs-3329	355	26	.	.	X
iajs-3329	356	1	meddahi	meddahi	NOUN
iajs-3329	356	2	,	,	PUNCT
iajs-3329	356	3	m.	m.	NOUN
iajs-3329	356	4	;	;	PUNCT
iajs-3329	356	5	jafari	jafari	PROPN
iajs-3329	356	6	,	,	PUNCT
iajs-3329	356	7	h.	h.	PROPN
iajs-3329	356	8	;	;	PUNCT
iajs-3329	356	9	yang	yang	PROPN
iajs-3329	356	10	,	,	PUNCT
iajs-3329	356	11	x.j	x.j	PROPN
iajs-3329	356	12	.	.	PROPN
iajs-3329	356	13	towards	towards	ADP
iajs-3329	356	14	new	new	ADJ
iajs-3329	356	15	general	general	ADJ
iajs-3329	356	16	double	double	ADJ
iajs-3329	356	17	integral	integral	ADJ
iajs-3329	356	18	transform	transform	NOUN
iajs-3329	356	19	and	and	CCONJ
iajs-3329	356	20	its	its	PRON
iajs-3329	356	21	applications	application	NOUN
iajs-3329	356	22	to	to	PART
iajs-3329	356	23	differential	differential	VERB
iajs-3329	356	24	equations	equation	NOUN
iajs-3329	356	25	.	.	PUNCT
iajs-3329	357	1	mathematical	mathematical	ADJ
iajs-3329	357	2	methods	method	NOUN
iajs-3329	357	3	in	in	ADP
iajs-3329	357	4	the	the	DET
iajs-3329	357	5	applied	apply	VERB
iajs-3329	357	6	sciences	science	NOUN
iajs-3329	357	7	2022	2022	NUM
iajs-3329	357	8	,	,	PUNCT
iajs-3329	357	9	45(4	45(4	NUM
iajs-3329	357	10	)	)	PUNCT
iajs-3329	357	11	,	,	PUNCT
iajs-3329	357	12	1916	1916	NUM
iajs-3329	357	13	-	-	SYM
iajs-3329	357	14	1933	1933	NUM
iajs-3329	357	15	.	.	PUNCT