id	sid	tid	token	lemma	pos
iajs-2882	1	1	ihjpas	ihjpas	PROPN
iajs-2882	1	2	.	.	PUNCT
iajs-2882	2	1	36(1)2023	36(1)2023	NUM
iajs-2882	2	2	400	400	NUM
iajs-2882	2	3	this	this	DET
iajs-2882	2	4	work	work	NOUN
iajs-2882	2	5	is	be	AUX
iajs-2882	2	6	licensed	license	VERB
iajs-2882	2	7	under	under	ADP
iajs-2882	2	8	a	a	DET
iajs-2882	2	9	creative	creative	ADJ
iajs-2882	2	10	commons	common	NOUN
iajs-2882	2	11	attribution	attribution	NOUN
iajs-2882	2	12	4.0	4.0	NUM
iajs-2882	2	13	international	international	ADJ
iajs-2882	2	14	license	license	NOUN
iajs-2882	2	15	using	use	VERB
iajs-2882	2	16	a	a	DET
iajs-2882	2	17	new	new	ADJ
iajs-2882	2	18	general	general	ADJ
iajs-2882	2	19	complex	complex	ADJ
iajs-2882	2	20	integral	integral	ADJ
iajs-2882	2	21	transform	transform	NOUN
iajs-2882	2	22	for	for	ADP
iajs-2882	2	23	solving	solve	VERB
iajs-2882	2	24	population	population	NOUN
iajs-2882	2	25	growth	growth	NOUN
iajs-2882	2	26	and	and	CCONJ
iajs-2882	2	27	decay	decay	NOUN
iajs-2882	2	28	problems	problem	NOUN
iajs-2882	2	29	abstract	abstract	VERB
iajs-2882	2	30	the	the	DET
iajs-2882	2	31	population	population	NOUN
iajs-2882	2	32	growth	growth	NOUN
iajs-2882	2	33	and	and	CCONJ
iajs-2882	2	34	decay	decay	NOUN
iajs-2882	2	35	issues	issue	NOUN
iajs-2882	2	36	are	be	AUX
iajs-2882	2	37	one	one	NUM
iajs-2882	2	38	of	of	ADP
iajs-2882	2	39	the	the	DET
iajs-2882	2	40	most	most	ADV
iajs-2882	2	41	pressing	pressing	ADJ
iajs-2882	2	42	issues	issue	NOUN
iajs-2882	2	43	in	in	ADP
iajs-2882	2	44	many	many	ADJ
iajs-2882	2	45	sectors	sector	NOUN
iajs-2882	2	46	of	of	ADP
iajs-2882	2	47	study	study	NOUN
iajs-2882	2	48	.	.	PUNCT
iajs-2882	3	1	these	these	DET
iajs-2882	3	2	issues	issue	NOUN
iajs-2882	3	3	can	can	AUX
iajs-2882	3	4	be	be	AUX
iajs-2882	3	5	found	find	VERB
iajs-2882	3	6	in	in	ADP
iajs-2882	3	7	physics	physics	NOUN
iajs-2882	3	8	,	,	PUNCT
iajs-2882	3	9	chemistry	chemistry	NOUN
iajs-2882	3	10	,	,	PUNCT
iajs-2882	3	11	social	social	ADJ
iajs-2882	3	12	science	science	NOUN
iajs-2882	3	13	,	,	PUNCT
iajs-2882	3	14	biology	biology	NOUN
iajs-2882	3	15	,	,	PUNCT
iajs-2882	3	16	and	and	CCONJ
iajs-2882	3	17	zoology	zoology	NOUN
iajs-2882	3	18	,	,	PUNCT
iajs-2882	3	19	among	among	ADP
iajs-2882	3	20	other	other	ADJ
iajs-2882	3	21	subjects	subject	NOUN
iajs-2882	3	22	.	.	PUNCT
iajs-2882	4	1	we	we	PRON
iajs-2882	4	2	introduced	introduce	VERB
iajs-2882	4	3	the	the	DET
iajs-2882	4	4	solution	solution	NOUN
iajs-2882	4	5	for	for	ADP
iajs-2882	4	6	these	these	DET
iajs-2882	4	7	problems	problem	NOUN
iajs-2882	4	8	in	in	ADP
iajs-2882	4	9	this	this	DET
iajs-2882	4	10	paper	paper	NOUN
iajs-2882	4	11	by	by	ADP
iajs-2882	4	12	using	use	VERB
iajs-2882	4	13	the	the	DET
iajs-2882	4	14	seji	seji	NOUN
iajs-2882	4	15	(	(	PUNCT
iajs-2882	4	16	sadiqemadjinan	sadiqemadjinan	NOUN
iajs-2882	4	17	)	)	PUNCT
iajs-2882	4	18	integral	integral	ADJ
iajs-2882	4	19	transform	transform	NOUN
iajs-2882	4	20	,	,	PUNCT
iajs-2882	4	21	which	which	PRON
iajs-2882	4	22	has	have	VERB
iajs-2882	4	23	some	some	DET
iajs-2882	4	24	mathematical	mathematical	ADJ
iajs-2882	4	25	properties	property	NOUN
iajs-2882	4	26	that	that	PRON
iajs-2882	4	27	we	we	PRON
iajs-2882	4	28	use	use	VERB
iajs-2882	4	29	in	in	ADP
iajs-2882	4	30	our	our	PRON
iajs-2882	4	31	solutions	solution	NOUN
iajs-2882	4	32	.	.	PUNCT
iajs-2882	5	1	we	we	PRON
iajs-2882	5	2	also	also	ADV
iajs-2882	5	3	presented	present	VERB
iajs-2882	5	4	the	the	DET
iajs-2882	5	5	seji	seji	NOUN
iajs-2882	5	6	transform	transform	VERB
iajs-2882	5	7	for	for	ADP
iajs-2882	5	8	some	some	DET
iajs-2882	5	9	functions	function	NOUN
iajs-2882	5	10	,	,	PUNCT
iajs-2882	5	11	followed	follow	VERB
iajs-2882	5	12	by	by	ADP
iajs-2882	5	13	the	the	DET
iajs-2882	5	14	inverse	inverse	NOUN
iajs-2882	5	15	of	of	ADP
iajs-2882	5	16	the	the	DET
iajs-2882	5	17	seji	seji	ADJ
iajs-2882	5	18	integral	integral	ADJ
iajs-2882	5	19	transform	transform	NOUN
iajs-2882	5	20	for	for	ADP
iajs-2882	5	21	these	these	DET
iajs-2882	5	22	functions	function	NOUN
iajs-2882	5	23	.	.	PUNCT
iajs-2882	6	1	after	after	ADP
iajs-2882	6	2	that	that	PRON
iajs-2882	6	3	,	,	PUNCT
iajs-2882	6	4	we	we	PRON
iajs-2882	6	5	demonstrate	demonstrate	VERB
iajs-2882	6	6	how	how	SCONJ
iajs-2882	6	7	to	to	PART
iajs-2882	6	8	use	use	VERB
iajs-2882	6	9	the	the	DET
iajs-2882	6	10	seji	seji	NOUN
iajs-2882	6	11	transform	transform	NOUN
iajs-2882	6	12	to	to	PART
iajs-2882	6	13	tackle	tackle	VERB
iajs-2882	6	14	population	population	NOUN
iajs-2882	6	15	growth	growth	NOUN
iajs-2882	6	16	and	and	CCONJ
iajs-2882	6	17	decay	decay	NOUN
iajs-2882	6	18	problems	problem	NOUN
iajs-2882	6	19	by	by	ADP
iajs-2882	6	20	presenting	present	VERB
iajs-2882	6	21	two	two	NUM
iajs-2882	6	22	applications	application	NOUN
iajs-2882	6	23	that	that	PRON
iajs-2882	6	24	demonstrate	demonstrate	VERB
iajs-2882	6	25	how	how	SCONJ
iajs-2882	6	26	to	to	PART
iajs-2882	6	27	use	use	VERB
iajs-2882	6	28	this	this	DET
iajs-2882	6	29	transform	transform	NOUN
iajs-2882	6	30	to	to	PART
iajs-2882	6	31	obtain	obtain	VERB
iajs-2882	6	32	solutions	solution	NOUN
iajs-2882	6	33	.	.	PUNCT
iajs-2882	7	1	finally	finally	ADV
iajs-2882	7	2	,	,	PUNCT
iajs-2882	7	3	we	we	PRON
iajs-2882	7	4	conclude	conclude	VERB
iajs-2882	7	5	that	that	SCONJ
iajs-2882	7	6	the	the	DET
iajs-2882	7	7	seji	seji	NOUN
iajs-2882	7	8	transform	transform	NOUN
iajs-2882	7	9	can	can	AUX
iajs-2882	7	10	readily	readily	ADV
iajs-2882	7	11	solve	solve	VERB
iajs-2882	7	12	the	the	DET
iajs-2882	7	13	problems	problem	NOUN
iajs-2882	7	14	of	of	ADP
iajs-2882	7	15	population	population	NOUN
iajs-2882	7	16	increase	increase	NOUN
iajs-2882	7	17	and	and	CCONJ
iajs-2882	7	18	decay	decay	NOUN
iajs-2882	7	19	,	,	PUNCT
iajs-2882	7	20	and	and	CCONJ
iajs-2882	7	21	that	that	SCONJ
iajs-2882	7	22	the	the	DET
iajs-2882	7	23	action	action	NOUN
iajs-2882	7	24	of	of	ADP
iajs-2882	7	25	this	this	DET
iajs-2882	7	26	integral	integral	ADJ
iajs-2882	7	27	transform	transform	NOUN
iajs-2882	7	28	in	in	ADP
iajs-2882	7	29	overcoming	overcome	VERB
iajs-2882	7	30	these	these	DET
iajs-2882	7	31	challenges	challenge	NOUN
iajs-2882	7	32	can	can	AUX
iajs-2882	7	33	be	be	AUX
iajs-2882	7	34	explained	explain	VERB
iajs-2882	7	35	through	through	ADP
iajs-2882	7	36	applications	application	NOUN
iajs-2882	7	37	.	.	PUNCT
iajs-2882	8	1	keywords	keyword	NOUN
iajs-2882	8	2	:	:	PUNCT
iajs-2882	8	3	decay	decay	VERB
iajs-2882	8	4	problems	problem	NOUN
iajs-2882	8	5	,	,	PUNCT
iajs-2882	8	6	inverse	inverse	NOUN
iajs-2882	8	7	of	of	ADP
iajs-2882	8	8	seji	seji	NOUN
iajs-2882	8	9	transform	transform	NOUN
iajs-2882	8	10	,	,	PUNCT
iajs-2882	8	11	population	population	NOUN
iajs-2882	8	12	growth	growth	NOUN
iajs-2882	8	13	,	,	PUNCT
iajs-2882	8	14	seji	seji	NOUN
iajs-2882	8	15	transform	transform	NOUN
iajs-2882	8	16	.	.	PUNCT
iajs-2882	9	1	1	1	X
iajs-2882	9	2	.	.	X
iajs-2882	9	3	introduction	introduction	NOUN
iajs-2882	9	4	:	:	PUNCT
iajs-2882	9	5	there	there	PRON
iajs-2882	9	6	are	be	VERB
iajs-2882	9	7	many	many	ADJ
iajs-2882	9	8	integral	integral	ADJ
iajs-2882	9	9	transforms	transform	NOUN
iajs-2882	9	10	have	have	AUX
iajs-2882	9	11	been	be	AUX
iajs-2882	9	12	solved	solve	VERB
iajs-2882	9	13	the	the	DET
iajs-2882	9	14	population	population	NOUN
iajs-2882	9	15	growth	growth	NOUN
iajs-2882	9	16	and	and	CCONJ
iajs-2882	9	17	decay	decay	NOUN
iajs-2882	9	18	problems	problem	NOUN
iajs-2882	9	19	,	,	PUNCT
iajs-2882	9	20	such	such	ADJ
iajs-2882	9	21	as	as	ADP
iajs-2882	9	22	sawi	sawi	ADJ
iajs-2882	9	23	,	,	PUNCT
iajs-2882	9	24	mohand	mohand	NOUN
iajs-2882	9	25	,	,	PUNCT
iajs-2882	9	26	kamal	kamal	PROPN
iajs-2882	9	27	,	,	PUNCT
iajs-2882	9	28	shehu	shehu	NOUN
iajs-2882	9	29	,	,	PUNCT
iajs-2882	9	30	elzaki	elzaki	NOUN
iajs-2882	9	31	and	and	CCONJ
iajs-2882	9	32	complex	complex	ADJ
iajs-2882	9	33	see	see	VERB
iajs-2882	9	34	transform	transform	NOUN
iajs-2882	9	35	[	[	X
iajs-2882	9	36	1	1	NUM
iajs-2882	9	37	-	-	SYM
iajs-2882	9	38	7	7	NUM
iajs-2882	9	39	]	]	PUNCT
iajs-2882	9	40	.	.	PUNCT
iajs-2882	10	1	the	the	DET
iajs-2882	10	2	equation	equation	NOUN
iajs-2882	10	3	of	of	ADP
iajs-2882	10	4	population	population	NOUN
iajs-2882	10	5	growth	growth	NOUN
iajs-2882	10	6	is	be	AUX
iajs-2882	10	7	a	a	DET
iajs-2882	10	8	first	first	ADJ
iajs-2882	10	9	order	order	NOUN
iajs-2882	10	10	linear	linear	VERB
iajs-2882	10	11	ordinary	ordinary	ADJ
iajs-2882	10	12	differential	differential	ADJ
iajs-2882	10	13	equation	equation	NOUN
iajs-2882	10	14	[	[	X
iajs-2882	10	15	8	8	NUM
iajs-2882	10	16	-	-	SYM
iajs-2882	10	17	12	12	NUM
iajs-2882	10	18	]	]	PUNCT
iajs-2882	10	19	.	.	PUNCT
iajs-2882	11	1	𝑑𝑁	𝑑𝑁	PROPN
iajs-2882	11	2	𝑑𝑡	𝑑𝑡	ADP
iajs-2882	11	3	=	=	SYM
iajs-2882	11	4	𝜇𝑁.	𝜇𝑁.	X
iajs-2882	11	5	(	(	PUNCT
iajs-2882	11	6	1	1	NUM
iajs-2882	11	7	)	)	PUNCT
iajs-2882	11	8	with	with	ADP
iajs-2882	11	9	initial	initial	ADJ
iajs-2882	11	10	condition	condition	NOUN
iajs-2882	11	11	doi.org/10.30526/36.1.2882	doi.org/10.30526/36.1.2882	NOUN
iajs-2882	11	12	article	article	NOUN
iajs-2882	11	13	history	history	NOUN
iajs-2882	11	14	:	:	PUNCT
iajs-2882	11	15	received	receive	VERB
iajs-2882	11	16	21	21	NUM
iajs-2882	11	17	june	june	PROPN
iajs-2882	11	18	2022	2022	NUM
iajs-2882	11	19	,	,	PUNCT
iajs-2882	11	20	accepted	accept	VERB
iajs-2882	11	21	21	21	NUM
iajs-2882	11	22	augest	augest	NOUN
iajs-2882	11	23	2022	2022	NUM
iajs-2882	11	24	,	,	PUNCT
iajs-2882	11	25	published	publish	VERB
iajs-2882	11	26	in	in	ADP
iajs-2882	11	27	january	january	PROPN
iajs-2882	11	28	2023	2023	NUM
iajs-2882	11	29	.	.	PUNCT
iajs-2882	12	1	ibn	ibn	PROPN
iajs-2882	12	2	al	al	PROPN
iajs-2882	12	3	-	-	PUNCT
iajs-2882	12	4	haitham	haitham	PROPN
iajs-2882	12	5	journal	journal	PROPN
iajs-2882	12	6	for	for	ADP
iajs-2882	12	7	pure	pure	ADJ
iajs-2882	12	8	and	and	CCONJ
iajs-2882	12	9	applied	applied	ADJ
iajs-2882	12	10	sciences	sciences	PROPN
iajs-2882	12	11	journal	journal	PROPN
iajs-2882	12	12	homepage	homepage	NOUN
iajs-2882	12	13	:	:	PUNCT
iajs-2882	12	14	jih.uobaghdad.edu.iq	jih.uobaghdad.edu.iq	NOUN
iajs-2882	12	15	sadiq	sadiq	PROPN
iajs-2882	12	16	a.	a.	PROPN
iajs-2882	12	17	mehdi	mehdi	PROPN
iajs-2882	12	18	department	department	PROPN
iajs-2882	12	19	of	of	ADP
iajs-2882	12	20	mathematics	mathematics	PROPN
iajs-2882	12	21	,	,	PUNCT
iajs-2882	12	22	college	college	NOUN
iajs-2882	12	23	of	of	ADP
iajs-2882	12	24	education	education	NOUN
iajs-2882	12	25	,	,	PUNCT
iajs-2882	12	26	mustansiriyah	mustansiriyah	NOUN
iajs-2882	12	27	university	university	NOUN
iajs-2882	12	28	,	,	PUNCT
iajs-2882	12	29	baghdad	baghdad	PROPN
iajs-2882	12	30	,	,	PUNCT
iajs-2882	12	31	iraq	iraq	PROPN
iajs-2882	12	32	sadiqmehdi71@uomustansiriyah.edu.iq	sadiqmehdi71@uomustansiriyah.edu.iq	PROPN
iajs-2882	12	33	emad	emad	PROPN
iajs-2882	12	34	a.	a.	PROPN
iajs-2882	12	35	kuffi	kuffi	PROPN
iajs-2882	12	36	department	department	PROPN
iajs-2882	12	37	of	of	ADP
iajs-2882	12	38	materials	material	NOUN
iajs-2882	12	39	,	,	PUNCT
iajs-2882	12	40	college	college	NOUN
iajs-2882	12	41	of	of	ADP
iajs-2882	12	42	engineering	engineering	PROPN
iajs-2882	12	43	,	,	PUNCT
iajs-2882	12	44	al	al	PROPN
iajs-2882	12	45	-	-	PUNCT
iajs-2882	12	46	qadisiyah	qadisiyah	PROPN
iajs-2882	12	47	university	university	NOUN
iajs-2882	12	48	,	,	PUNCT
iajs-2882	12	49	al	al	PROPN
iajs-2882	12	50	-	-	PUNCT
iajs-2882	12	51	qadisiyah	qadisiyah	PROPN
iajs-2882	12	52	,	,	PUNCT
iajs-2882	12	53	iraq	iraq	PROPN
iajs-2882	12	54	.	.	PUNCT
iajs-2882	13	1	emad.abbas@qu.edu.iq	emad.abbas@qu.edu.iq	PROPN
iajs-2882	13	2	jinan	jinan	PROPN
iajs-2882	13	3	a.	a.	PROPN
iajs-2882	13	4	jasim	jasim	PROPN
iajs-2882	13	5	department	department	PROPN
iajs-2882	13	6	of	of	ADP
iajs-2882	13	7	mathematics	mathematics	PROPN
iajs-2882	13	8	,	,	PUNCT
iajs-2882	13	9	college	college	NOUN
iajs-2882	13	10	of	of	ADP
iajs-2882	13	11	education	education	NOUN
iajs-2882	13	12	,	,	PUNCT
iajs-2882	13	13	mustansiriyah	mustansiriyah	NOUN
iajs-2882	13	14	university	university	NOUN
iajs-2882	13	15	,	,	PUNCT
iajs-2882	13	16	baghdad	baghdad	PROPN
iajs-2882	13	17	,	,	PUNCT
iajs-2882	13	18	iraq	iraq	PROPN
iajs-2882	13	19	jinanadel78@uomustansiriyah.edu.iq	jinanadel78@uomustansiriyah.edu.iq	PROPN
iajs-2882	13	20	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-2882	13	21	mailto:sadiqmehdi71@uomustansiriyah.edu.iq	mailto:sadiqmehdi71@uomustansiriyah.edu.iq	PROPN
iajs-2882	13	22	mailto:emad.abbas@qu.edu.iq	mailto:emad.abbas@qu.edu.iq	PROPN
iajs-2882	13	23	mailto:jinanadel78@uomustansiriyah.edu.iq	mailto:jinanadel78@uomustansiriyah.edu.iq	PROPN
iajs-2882	13	24	ihjpas	ihjpa	NOUN
iajs-2882	13	25	.	.	PUNCT
iajs-2882	14	1	36(1)2023	36(1)2023	NUM
iajs-2882	14	2	401	401	NUM
iajs-2882	14	3	𝑁(𝑡0	𝑁(𝑡0	NOUN
iajs-2882	14	4	)	)	PUNCT
iajs-2882	14	5	=	=	PUNCT
iajs-2882	14	6	𝑁0	𝑁0	PROPN
iajs-2882	14	7	.	.	PUNCT
iajs-2882	15	1	(	(	PUNCT
iajs-2882	15	2	2	2	X
iajs-2882	15	3	)	)	PUNCT
iajs-2882	15	4	where	where	SCONJ
iajs-2882	15	5	𝜇	𝜇	ADV
iajs-2882	15	6	is	be	AUX
iajs-2882	15	7	a	a	DET
iajs-2882	15	8	positive	positive	ADJ
iajs-2882	15	9	real	real	ADJ
iajs-2882	15	10	number	number	NOUN
iajs-2882	15	11	,	,	PUNCT
iajs-2882	15	12	𝑁	𝑁	PROPN
iajs-2882	15	13	is	be	AUX
iajs-2882	15	14	the	the	DET
iajs-2882	15	15	population	population	NOUN
iajs-2882	15	16	value	value	NOUN
iajs-2882	15	17	at	at	ADP
iajs-2882	15	18	time	time	NOUN
iajs-2882	15	19	𝑡	𝑡	PROPN
iajs-2882	15	20	and	and	CCONJ
iajs-2882	15	21	𝑁0	𝑁0	ADJ
iajs-2882	15	22	is	be	AUX
iajs-2882	15	23	the	the	DET
iajs-2882	15	24	initial	initial	ADJ
iajs-2882	15	25	population	population	NOUN
iajs-2882	15	26	at	at	ADP
iajs-2882	15	27	time	time	NOUN
iajs-2882	15	28	𝑡0	𝑡0	PROPN
iajs-2882	15	29	.	.	PUNCT
iajs-2882	16	1	this	this	DET
iajs-2882	16	2	equation	equation	NOUN
iajs-2882	16	3	is	be	AUX
iajs-2882	16	4	known	know	VERB
iajs-2882	16	5	as	as	ADP
iajs-2882	16	6	the	the	DET
iajs-2882	16	7	malthusian	malthusian	ADJ
iajs-2882	16	8	law	law	NOUN
iajs-2882	16	9	of	of	ADP
iajs-2882	16	10	population	population	NOUN
iajs-2882	16	11	growth	growth	NOUN
iajs-2882	16	12	.	.	PUNCT
iajs-2882	17	1	the	the	DET
iajs-2882	17	2	decay	decay	NOUN
iajs-2882	17	3	problems	problem	NOUN
iajs-2882	17	4	of	of	ADP
iajs-2882	17	5	the	the	DET
iajs-2882	17	6	core	core	NOUN
iajs-2882	17	7	are	be	AUX
iajs-2882	17	8	defined	define	VERB
iajs-2882	17	9	as	as	ADP
iajs-2882	17	10	first	first	ADJ
iajs-2882	17	11	order	order	NOUN
iajs-2882	17	12	linear	linear	VERB
iajs-2882	17	13	ordinary	ordinary	ADJ
iajs-2882	17	14	differential	differential	ADJ
iajs-2882	17	15	equations	equation	NOUN
iajs-2882	18	1	[	[	X
iajs-2882	18	2	13	13	NUM
iajs-2882	18	3	-	-	SYM
iajs-2882	18	4	15	15	NUM
iajs-2882	18	5	]	]	PUNCT
iajs-2882	18	6	.	.	PUNCT
iajs-2882	19	1	𝑑𝑀	𝑑𝑀	PROPN
iajs-2882	19	2	𝑑𝑡	𝑑𝑡	ADP
iajs-2882	19	3	=	=	PUNCT
iajs-2882	19	4	−𝜂𝑀.	−𝜂𝑀.	PROPN
iajs-2882	19	5	(	(	PUNCT
iajs-2882	19	6	3	3	NUM
iajs-2882	19	7	)	)	PUNCT
iajs-2882	19	8	with	with	ADP
iajs-2882	19	9	initial	initial	ADJ
iajs-2882	19	10	condition	condition	NOUN
iajs-2882	19	11	𝑀(𝑡0	𝑀(𝑡0	NOUN
iajs-2882	19	12	)	)	PUNCT
iajs-2882	19	13	=	=	SYM
iajs-2882	19	14	𝑀0	𝑀0	PROPN
iajs-2882	19	15	.	.	PUNCT
iajs-2882	20	1	(	(	PUNCT
iajs-2882	20	2	4	4	NUM
iajs-2882	20	3	)	)	PUNCT
iajs-2882	20	4	where	where	SCONJ
iajs-2882	20	5	𝑀	𝑀	PROPN
iajs-2882	20	6	is	be	AUX
iajs-2882	20	7	the	the	DET
iajs-2882	20	8	value	value	NOUN
iajs-2882	20	9	of	of	ADP
iajs-2882	20	10	the	the	DET
iajs-2882	20	11	matter	matter	NOUN
iajs-2882	20	12	at	at	ADP
iajs-2882	20	13	time	time	NOUN
iajs-2882	20	14	𝑡	𝑡	PROPN
iajs-2882	20	15	,	,	PUNCT
iajs-2882	20	16	𝜂	𝜂	NOUN
iajs-2882	20	17	∈	∈	PROPN
iajs-2882	20	18	ℝ+	ℝ+	PUNCT
iajs-2882	20	19	and	and	CCONJ
iajs-2882	20	20	𝑀0	𝑀0	ADJ
iajs-2882	20	21	is	be	AUX
iajs-2882	20	22	the	the	DET
iajs-2882	20	23	initial	initial	ADJ
iajs-2882	20	24	matter	matter	NOUN
iajs-2882	20	25	at	at	ADP
iajs-2882	20	26	time	time	NOUN
iajs-2882	20	27	𝑡0	𝑡0	PROPN
iajs-2882	20	28	.	.	PUNCT
iajs-2882	21	1	the	the	DET
iajs-2882	21	2	negative	negative	ADJ
iajs-2882	21	3	sign	sign	NOUN
iajs-2882	21	4	in	in	ADP
iajs-2882	21	5	the	the	DET
iajs-2882	21	6	equation	equation	NOUN
iajs-2882	21	7	(	(	PUNCT
iajs-2882	21	8	3	3	X
iajs-2882	21	9	)	)	PUNCT
iajs-2882	21	10	points	point	VERB
iajs-2882	21	11	the	the	DET
iajs-2882	21	12	mass	mass	NOUN
iajs-2882	21	13	of	of	ADP
iajs-2882	21	14	the	the	DET
iajs-2882	21	15	core	core	NOUN
iajs-2882	21	16	decreases	decrease	NOUN
iajs-2882	21	17	with	with	ADP
iajs-2882	21	18	time	time	NOUN
iajs-2882	21	19	,	,	PUNCT
iajs-2882	21	20	thus	thus	ADV
iajs-2882	21	21	the	the	DET
iajs-2882	21	22	time	time	NOUN
iajs-2882	21	23	derivative	derivative	NOUN
iajs-2882	21	24	of	of	ADP
iajs-2882	21	25	𝑀	𝑀	PROPN
iajs-2882	21	26	denoted	denote	VERB
iajs-2882	21	27	by	by	ADP
iajs-2882	21	28	𝑑𝑀	𝑑𝑀	PROPN
iajs-2882	21	29	𝑑𝑡	𝑑𝑡	SCONJ
iajs-2882	21	30	have	have	VERB
iajs-2882	21	31	to	to	PART
iajs-2882	21	32	be	be	AUX
iajs-2882	21	33	negative	negative	ADJ
iajs-2882	21	34	.	.	PUNCT
iajs-2882	22	1	we	we	PRON
iajs-2882	22	2	define	define	VERB
iajs-2882	22	3	the	the	DET
iajs-2882	22	4	seji	seji	ADJ
iajs-2882	22	5	integral	integral	ADJ
iajs-2882	22	6	transform	transform	NOUN
iajs-2882	22	7	as	as	SCONJ
iajs-2882	22	8	follows	follow	VERB
iajs-2882	22	9	[	[	X
iajs-2882	22	10	16	16	NUM
iajs-2882	22	11	]	]	X
iajs-2882	22	12	:	:	PUNCT
iajs-2882	23	1	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	23	2	𝑐{𝑓(𝑡	𝑐{𝑓(𝑡	NUM
iajs-2882	23	3	)	)	PUNCT
iajs-2882	23	4	;	;	PUNCT
iajs-2882	23	5	𝑠	𝑠	X
iajs-2882	23	6	}	}	PUNCT
iajs-2882	23	7	=	=	SYM
iajs-2882	23	8	𝐹𝑔	𝐹𝑔	NOUN
iajs-2882	23	9	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	23	10	)	)	PUNCT
iajs-2882	23	11	=	=	SYM
iajs-2882	23	12	𝑝(𝑠	𝑝(𝑠	X
iajs-2882	23	13	)	)	PUNCT
iajs-2882	23	14	∫	∫	PROPN
iajs-2882	23	15	𝑒−𝑖𝑞(𝑠)𝑡𝑓(𝑡)𝑑𝑡	𝑒−𝑖𝑞(𝑠)𝑡𝑓(𝑡)𝑑𝑡	PROPN
iajs-2882	23	16	,	,	PUNCT
iajs-2882	23	17	∞	∞	PROPN
iajs-2882	23	18	𝑡=0	𝑡=0	X
iajs-2882	23	19	where	where	SCONJ
iajs-2882	23	20	𝑡	𝑡	PROPN
iajs-2882	23	21	≥	≥	NOUN
iajs-2882	23	22	0	0	NUM
iajs-2882	23	23	,	,	PUNCT
iajs-2882	23	24	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	23	25	)	)	PUNCT
iajs-2882	23	26	≠	≠	PROPN
iajs-2882	23	27	0	0	NUM
iajs-2882	23	28	and	and	CCONJ
iajs-2882	23	29	𝑞(𝑠	𝑞(𝑠	NUM
iajs-2882	23	30	)	)	PUNCT
iajs-2882	23	31	are	be	AUX
iajs-2882	23	32	positive	positive	ADJ
iajs-2882	23	33	functions	function	NOUN
iajs-2882	23	34	of	of	ADP
iajs-2882	23	35	parameter	parameter	PROPN
iajs-2882	23	36	𝑠	𝑠	PROPN
iajs-2882	23	37	,	,	PUNCT
iajs-2882	23	38	𝑖	𝑖	X
iajs-2882	23	39	=	=	PUNCT
iajs-2882	23	40	√−1	√−1	PROPN
iajs-2882	23	41	.	.	PUNCT
iajs-2882	24	1	the	the	DET
iajs-2882	24	2	seji	seji	ADJ
iajs-2882	24	3	integral	integral	ADJ
iajs-2882	24	4	transform	transform	NOUN
iajs-2882	24	5	of	of	ADP
iajs-2882	24	6	the	the	DET
iajs-2882	24	7	function	function	NOUN
iajs-2882	24	8	𝑓(𝑡	𝑓(𝑡	PROPN
iajs-2882	24	9	)	)	PUNCT
iajs-2882	24	10	,	,	PUNCT
iajs-2882	24	11	𝑡	𝑡	PROPN
iajs-2882	24	12	≥	≥	NOUN
iajs-2882	24	13	0	0	NUM
iajs-2882	24	14	has	have	VERB
iajs-2882	24	15	a	a	DET
iajs-2882	24	16	condition	condition	NOUN
iajs-2882	24	17	that	that	SCONJ
iajs-2882	24	18	𝑓(𝑡	𝑓(𝑡	NOUN
iajs-2882	24	19	)	)	PUNCT
iajs-2882	24	20	is	be	AUX
iajs-2882	24	21	a	a	DET
iajs-2882	24	22	piecewise	piecewise	NOUN
iajs-2882	24	23	continuous	continuous	ADJ
iajs-2882	24	24	and	and	CCONJ
iajs-2882	24	25	𝑓(𝑡	𝑓(𝑡	NOUN
iajs-2882	24	26	)	)	PUNCT
iajs-2882	24	27	of	of	ADP
iajs-2882	24	28	exponential	exponential	ADJ
iajs-2882	24	29	order	order	NOUN
iajs-2882	24	30	,	,	PUNCT
iajs-2882	24	31	which	which	PRON
iajs-2882	24	32	these	these	DET
iajs-2882	24	33	sufficient	sufficient	ADJ
iajs-2882	24	34	conditions	condition	NOUN
iajs-2882	24	35	for	for	ADP
iajs-2882	24	36	the	the	DET
iajs-2882	24	37	existence	existence	NOUN
iajs-2882	24	38	of	of	ADP
iajs-2882	24	39	seji	seji	ADJ
iajs-2882	24	40	integral	integral	ADJ
iajs-2882	24	41	transform	transform	NOUN
iajs-2882	24	42	for	for	ADP
iajs-2882	24	43	𝑓(𝑡	𝑓(𝑡	NOUN
iajs-2882	24	44	)	)	PUNCT
iajs-2882	24	45	.	.	PUNCT
iajs-2882	25	1	2	2	X
iajs-2882	25	2	.	.	X
iajs-2882	25	3	the	the	DET
iajs-2882	25	4	linearity	linearity	NOUN
iajs-2882	25	5	property	property	NOUN
iajs-2882	25	6	of	of	ADP
iajs-2882	25	7	seje	seje	NOUN
iajs-2882	25	8	transform	transform	NOUN
iajs-2882	25	9	we	we	PRON
iajs-2882	25	10	can	can	AUX
iajs-2882	25	11	prove	prove	VERB
iajs-2882	25	12	easily	easily	ADV
iajs-2882	25	13	the	the	DET
iajs-2882	25	14	linearity	linearity	NOUN
iajs-2882	25	15	property	property	NOUN
iajs-2882	25	16	of	of	ADP
iajs-2882	25	17	the	the	DET
iajs-2882	25	18	seje	seje	NOUN
iajs-2882	25	19	transform	transform	NOUN
iajs-2882	25	20	.	.	PUNCT
iajs-2882	26	1	let	let	VERB
iajs-2882	26	2	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	26	3	𝑐{𝑓(𝑡	𝑐{𝑓(𝑡	ADJ
iajs-2882	26	4	)	)	PUNCT
iajs-2882	26	5	}	}	PUNCT
iajs-2882	27	1	=	=	SYM
iajs-2882	27	2	𝐹𝑔	𝐹𝑔	NOUN
iajs-2882	27	3	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	27	4	)	)	PUNCT
iajs-2882	27	5	and	and	CCONJ
iajs-2882	27	6	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	27	7	𝑐{ℎ(𝑡	𝑐{ℎ(𝑡	PROPN
iajs-2882	27	8	)	)	PUNCT
iajs-2882	27	9	}	}	PUNCT
iajs-2882	27	10	=	=	PUNCT
iajs-2882	27	11	𝐻𝑔	𝐻𝑔	PROPN
iajs-2882	27	12	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	27	13	)	)	PUNCT
iajs-2882	27	14	,	,	PUNCT
iajs-2882	27	15	then	then	ADV
iajs-2882	27	16	for	for	ADP
iajs-2882	27	17	every	every	DET
iajs-2882	27	18	𝛼	𝛼	NOUN
iajs-2882	27	19	and	and	CCONJ
iajs-2882	27	20	𝛽	𝛽	NOUN
iajs-2882	27	21	are	be	AUX
iajs-2882	27	22	constants	constant	NOUN
iajs-2882	27	23	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	27	24	𝑐{𝛼𝑓(𝑡	𝑐{𝛼𝑓(𝑡	ADJ
iajs-2882	27	25	)	)	PUNCT
iajs-2882	27	26	±	±	NOUN
iajs-2882	27	27	𝛽ℎ(𝑡	𝛽ℎ(𝑡	PUNCT
iajs-2882	27	28	)	)	PUNCT
iajs-2882	27	29	}	}	PUNCT
iajs-2882	28	1	=	=	SYM
iajs-2882	28	2	𝛼𝐹𝑔	𝛼𝐹𝑔	NUM
iajs-2882	28	3	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	28	4	)	)	PUNCT
iajs-2882	28	5	±	±	NOUN
iajs-2882	28	6	𝛽𝐻𝑔	𝛽𝐻𝑔	NOUN
iajs-2882	28	7	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	28	8	)	)	PUNCT
iajs-2882	28	9	proof	proof	NOUN
iajs-2882	28	10	:	:	PUNCT
iajs-2882	28	11	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	28	12	𝑐{𝛼𝑓(𝑡	𝑐{𝛼𝑓(𝑡	NUM
iajs-2882	28	13	)	)	PUNCT
iajs-2882	28	14	±	±	NOUN
iajs-2882	28	15	𝛽ℎ(𝑡	𝛽ℎ(𝑡	PUNCT
iajs-2882	28	16	)	)	PUNCT
iajs-2882	28	17	}	}	PUNCT
iajs-2882	29	1	=	=	SYM
iajs-2882	29	2	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	29	3	)	)	PUNCT
iajs-2882	29	4	∫	∫	PROPN
iajs-2882	29	5	𝑒−𝑖𝑞(𝑠)𝑡(𝛼𝑓(𝑡	𝑒−𝑖𝑞(𝑠)𝑡(𝛼𝑓(𝑡	NUM
iajs-2882	29	6	)	)	PUNCT
iajs-2882	29	7	±	±	NOUN
iajs-2882	29	8	𝛽ℎ(𝑡))𝑑𝑡	𝛽ℎ(𝑡))𝑑𝑡	NOUN
iajs-2882	29	9	,	,	PUNCT
iajs-2882	29	10	∞	∞	NUM
iajs-2882	29	11	𝑡=0	𝑡=0	X
iajs-2882	29	12	=	=	SYM
iajs-2882	29	13	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	29	14	)	)	PUNCT
iajs-2882	29	15	∫	∫	PROPN
iajs-2882	29	16	𝑒−𝑖𝑞(𝑠)𝑡(𝛼𝑓(𝑡))𝑑𝑡	𝑒−𝑖𝑞(𝑠)𝑡(𝛼𝑓(𝑡))𝑑𝑡	PROPN
iajs-2882	29	17	±	±	NUM
iajs-2882	29	18	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	29	19	)	)	PUNCT
iajs-2882	29	20	∫	∫	PROPN
iajs-2882	29	21	𝑒−𝑖𝑞(𝑠)𝑡(𝛽ℎ(𝑡))𝑑𝑡	𝑒−𝑖𝑞(𝑠)𝑡(𝛽ℎ(𝑡))𝑑𝑡	PROPN
iajs-2882	29	22	,	,	PUNCT
iajs-2882	29	23	∞	∞	NUM
iajs-2882	29	24	𝑡=0	𝑡=0	X
iajs-2882	29	25	∞	∞	X
iajs-2882	29	26	𝑡=0	𝑡=0	X
iajs-2882	29	27	=	=	SYM
iajs-2882	29	28	𝛼𝑝(𝑠	𝛼𝑝(𝑠	PROPN
iajs-2882	29	29	)	)	PUNCT
iajs-2882	29	30	∫	∫	PROPN
iajs-2882	29	31	𝑒−𝑖𝑞(𝑠)𝑡𝑓(𝑡)𝑑𝑡	𝑒−𝑖𝑞(𝑠)𝑡𝑓(𝑡)𝑑𝑡	PROPN
iajs-2882	29	32	±	±	PROPN
iajs-2882	29	33	𝛽𝑝(𝑠	𝛽𝑝(𝑠	NOUN
iajs-2882	29	34	)	)	PUNCT
iajs-2882	29	35	∫	∫	PROPN
iajs-2882	29	36	𝑒−𝑖𝑞(𝑠)𝑡ℎ(𝑡)𝑑𝑡	𝑒−𝑖𝑞(𝑠)𝑡ℎ(𝑡)𝑑𝑡	PROPN
iajs-2882	29	37	,	,	PUNCT
iajs-2882	29	38	∞	∞	NUM
iajs-2882	29	39	𝑡=0	𝑡=0	X
iajs-2882	29	40	∞	∞	X
iajs-2882	29	41	𝑡=0	𝑡=0	X
iajs-2882	29	42	=	=	SYM
iajs-2882	29	43	𝛼𝐹𝑔	𝛼𝐹𝑔	NUM
iajs-2882	29	44	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	29	45	)	)	PUNCT
iajs-2882	29	46	±	±	NOUN
iajs-2882	29	47	𝛽𝐻𝑔	𝛽𝐻𝑔	NOUN
iajs-2882	29	48	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	29	49	)	)	PUNCT
iajs-2882	29	50	.	.	PUNCT
iajs-2882	30	1	∎	∎	PROPN
iajs-2882	30	2	also	also	ADV
iajs-2882	30	3	,	,	PUNCT
iajs-2882	30	4	we	we	PRON
iajs-2882	30	5	can	can	AUX
iajs-2882	30	6	prove	prove	VERB
iajs-2882	30	7	this	this	DET
iajs-2882	30	8	property	property	NOUN
iajs-2882	30	9	for	for	ADP
iajs-2882	30	10	the	the	DET
iajs-2882	30	11	inverse	inverse	NOUN
iajs-2882	30	12	of	of	ADP
iajs-2882	30	13	seji	seji	ADJ
iajs-2882	30	14	integral	integral	ADJ
iajs-2882	30	15	transform	transform	NOUN
iajs-2882	30	16	.	.	PUNCT
iajs-2882	31	1	𝑓(𝑡	𝑓(𝑡	NOUN
iajs-2882	31	2	)	)	PUNCT
iajs-2882	32	1	=	=	PUNCT
iajs-2882	33	1	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	33	2	𝑐−1{𝐹𝑔	𝑐−1{𝐹𝑔	PROPN
iajs-2882	33	3	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	33	4	)	)	PUNCT
iajs-2882	33	5	}	}	PUNCT
iajs-2882	34	1	=	=	SYM
iajs-2882	34	2	1	1	NUM
iajs-2882	34	3	2𝜋𝑖	2𝜋𝑖	ADJ
iajs-2882	34	4	∫	∫	PROPN
iajs-2882	34	5	𝑖	𝑖	SYM
iajs-2882	34	6	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	34	7	)	)	PUNCT
iajs-2882	34	8	𝑒𝑖𝑞(𝑠)𝑡𝐹𝑔	𝑒𝑖𝑞(𝑠)𝑡𝐹𝑔	PROPN
iajs-2882	34	9	𝑐(𝑠)𝑑𝑠	𝑐(𝑠)𝑑𝑠	PROPN
iajs-2882	34	10	,	,	PUNCT
iajs-2882	34	11	𝛿+𝑖∞	𝛿+𝑖∞	ADP
iajs-2882	34	12	𝛿−𝑖∞	𝛿−𝑖∞	PROPN
iajs-2882	34	13	where	where	SCONJ
iajs-2882	34	14	𝛿	𝛿	NOUN
iajs-2882	34	15	is	be	AUX
iajs-2882	34	16	positive	positive	ADJ
iajs-2882	34	17	fixed	fix	VERB
iajs-2882	34	18	number	number	NOUN
iajs-2882	34	19	,	,	PUNCT
iajs-2882	34	20	𝑡	𝑡	X
iajs-2882	34	21	≥	≥	NOUN
iajs-2882	34	22	0	0	NUM
iajs-2882	34	23	.	.	PUNCT
iajs-2882	35	1	𝑖	𝑖	PRON
iajs-2882	35	2	is	be	AUX
iajs-2882	35	3	complex	complex	ADJ
iajs-2882	35	4	number	number	NOUN
iajs-2882	35	5	(	(	PUNCT
iajs-2882	35	6	𝑖2	𝑖2	PROPN
iajs-2882	35	7	=	=	SYM
iajs-2882	35	8	−1	−1	NOUN
iajs-2882	35	9	)	)	PUNCT
iajs-2882	35	10	.	.	PUNCT
iajs-2882	36	1	let	let	VERB
iajs-2882	36	2	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	36	3	𝑐−1{𝐹𝑔	𝑐−1{𝐹𝑔	PROPN
iajs-2882	36	4	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	36	5	)	)	PUNCT
iajs-2882	36	6	}	}	PUNCT
iajs-2882	37	1	=	=	SYM
iajs-2882	37	2	𝑓(𝑡	𝑓(𝑡	NOUN
iajs-2882	37	3	)	)	PUNCT
iajs-2882	37	4	and	and	CCONJ
iajs-2882	37	5	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	37	6	𝑐−1{𝐻𝑔	𝑐−1{𝐻𝑔	PROPN
iajs-2882	37	7	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	37	8	)	)	PUNCT
iajs-2882	37	9	}	}	PUNCT
iajs-2882	37	10	=	=	SYM
iajs-2882	37	11	ℎ(𝑡	ℎ(𝑡	PROPN
iajs-2882	37	12	)	)	PUNCT
iajs-2882	37	13	then	then	ADV
iajs-2882	37	14	for	for	ADP
iajs-2882	37	15	every	every	DET
iajs-2882	37	16	𝛼	𝛼	NOUN
iajs-2882	37	17	and	and	CCONJ
iajs-2882	37	18	𝛽	𝛽	NOUN
iajs-2882	37	19	are	be	AUX
iajs-2882	37	20	constant	constant	ADJ
iajs-2882	37	21	ihjpas	ihjpa	NOUN
iajs-2882	37	22	.	.	PUNCT
iajs-2882	38	1	36(1)2023	36(1)2023	NUM
iajs-2882	38	2	402	402	NUM
iajs-2882	38	3	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	38	4	𝑐−1{𝛼𝐹𝑔	𝑐−1{𝛼𝐹𝑔	NOUN
iajs-2882	38	5	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	38	6	)	)	PUNCT
iajs-2882	38	7	±	±	NOUN
iajs-2882	38	8	𝛽𝐻𝑔	𝛽𝐻𝑔	NOUN
iajs-2882	38	9	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	38	10	)	)	PUNCT
iajs-2882	38	11	}	}	PUNCT
iajs-2882	38	12	=	=	SYM
iajs-2882	38	13	𝛼𝑓(𝑡	𝛼𝑓(𝑡	NUM
iajs-2882	38	14	)	)	PUNCT
iajs-2882	38	15	±	±	NOUN
iajs-2882	38	16	𝛽ℎ(𝑡	𝛽ℎ(𝑡	NUM
iajs-2882	38	17	)	)	PUNCT
iajs-2882	38	18	.	.	PUNCT
iajs-2882	39	1	proof	proof	NOUN
iajs-2882	39	2	:	:	PUNCT
iajs-2882	39	3	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	39	4	𝑐−1{𝛼𝐹𝑔	𝑐−1{𝛼𝐹𝑔	NOUN
iajs-2882	39	5	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	39	6	)	)	PUNCT
iajs-2882	39	7	±	±	NOUN
iajs-2882	39	8	𝛽𝐻𝑔	𝛽𝐻𝑔	NOUN
iajs-2882	39	9	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	39	10	)	)	PUNCT
iajs-2882	39	11	}	}	PUNCT
iajs-2882	39	12	=	=	SYM
iajs-2882	39	13	1	1	NUM
iajs-2882	39	14	2𝜋𝑖	2𝜋𝑖	ADJ
iajs-2882	39	15	∫	∫	PROPN
iajs-2882	39	16	𝑖	𝑖	SYM
iajs-2882	39	17	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	39	18	)	)	PUNCT
iajs-2882	39	19	𝑒𝑖𝑞(𝑠)𝑡	𝑒𝑖𝑞(𝑠)𝑡	PROPN
iajs-2882	39	20	(	(	PUNCT
iajs-2882	39	21	𝛼𝐹𝑔	𝛼𝐹𝑔	NUM
iajs-2882	39	22	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	39	23	)	)	PUNCT
iajs-2882	39	24	±	±	NOUN
iajs-2882	39	25	𝛽𝐻𝑔	𝛽𝐻𝑔	NOUN
iajs-2882	39	26	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	39	27	)	)	PUNCT
iajs-2882	39	28	)	)	PUNCT
iajs-2882	39	29	𝑑𝑠	𝑑𝑠	ADP
iajs-2882	39	30	,	,	PUNCT
iajs-2882	39	31	𝛿+𝑖∞	𝛿+𝑖∞	ADV
iajs-2882	39	32	𝛿−𝑖∞	𝛿−𝑖∞	PROPN
iajs-2882	39	33	=	=	SYM
iajs-2882	39	34	1	1	NUM
iajs-2882	39	35	2𝜋𝑖	2𝜋𝑖	ADJ
iajs-2882	39	36	∫	∫	PROPN
iajs-2882	39	37	𝑖	𝑖	SYM
iajs-2882	39	38	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	39	39	)	)	PUNCT
iajs-2882	39	40	𝑒𝑖𝑞(𝑠)𝑡	𝑒𝑖𝑞(𝑠)𝑡	PROPN
iajs-2882	39	41	(	(	PUNCT
iajs-2882	39	42	𝛼𝐹𝑔	𝛼𝐹𝑔	NUM
iajs-2882	39	43	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	39	44	)	)	PUNCT
iajs-2882	39	45	)	)	PUNCT
iajs-2882	39	46	𝑑𝑠	𝑑𝑠	ADP
iajs-2882	39	47	±	±	NUM
iajs-2882	39	48	1	1	NUM
iajs-2882	39	49	2𝜋𝑖	2𝜋𝑖	NOUN
iajs-2882	39	50	∫	∫	PROPN
iajs-2882	39	51	𝑖	𝑖	SYM
iajs-2882	39	52	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	39	53	)	)	PUNCT
iajs-2882	39	54	𝑒𝑖𝑞(𝑠)𝑡	𝑒𝑖𝑞(𝑠)𝑡	PROPN
iajs-2882	39	55	(	(	PUNCT
iajs-2882	39	56	𝛽𝐻𝑔	𝛽𝐻𝑔	NOUN
iajs-2882	39	57	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	39	58	)	)	PUNCT
iajs-2882	39	59	)	)	PUNCT
iajs-2882	40	1	𝑑𝑠	𝑑𝑠	ADP
iajs-2882	40	2	,	,	PUNCT
iajs-2882	40	3	𝛿+𝑖∞	𝛿+𝑖∞	PROPN
iajs-2882	40	4	𝛿−𝑖∞	𝛿−𝑖∞	PROPN
iajs-2882	40	5	𝛿+𝑖∞	𝛿+𝑖∞	X
iajs-2882	40	6	𝛿−𝑖∞	𝛿−𝑖∞	PROPN
iajs-2882	40	7	=	=	PUNCT
iajs-2882	40	8	𝛼	𝛼	PROPN
iajs-2882	40	9	2𝜋𝑖	2𝜋𝑖	NOUN
iajs-2882	40	10	∫	∫	PROPN
iajs-2882	40	11	𝑖	𝑖	SYM
iajs-2882	40	12	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	40	13	)	)	PUNCT
iajs-2882	41	1	𝑒𝑖𝑞(𝑠)𝑡𝐹𝑔	𝑒𝑖𝑞(𝑠)𝑡𝐹𝑔	PROPN
iajs-2882	41	2	𝑐(𝑠)𝑑𝑠	𝑐(𝑠)𝑑𝑠	PROPN
iajs-2882	41	3	±	±	NOUN
iajs-2882	41	4	𝛽	𝛽	NOUN
iajs-2882	41	5	2𝜋𝑖	2𝜋𝑖	ADJ
iajs-2882	41	6	∫	∫	PROPN
iajs-2882	41	7	𝑖	𝑖	SYM
iajs-2882	41	8	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	41	9	)	)	PUNCT
iajs-2882	41	10	𝑒𝑖𝑞(𝑠)𝑡𝐻𝑔	𝑒𝑖𝑞(𝑠)𝑡𝐻𝑔	DET
iajs-2882	41	11	𝑐(𝑠)𝑑𝑠	𝑐(𝑠)𝑑𝑠	PROPN
iajs-2882	41	12	,	,	PUNCT
iajs-2882	41	13	𝛿+𝑖∞	𝛿+𝑖∞	PROPN
iajs-2882	41	14	𝛿−𝑖∞	𝛿−𝑖∞	PROPN
iajs-2882	41	15	𝛿+𝑖∞	𝛿+𝑖∞	X
iajs-2882	41	16	𝛿−𝑖∞	𝛿−𝑖∞	PROPN
iajs-2882	41	17	=	=	SYM
iajs-2882	41	18	𝛼𝑓(𝑡	𝛼𝑓(𝑡	NUM
iajs-2882	41	19	)	)	PUNCT
iajs-2882	41	20	±	±	NOUN
iajs-2882	41	21	𝛽ℎ(𝑡	𝛽ℎ(𝑡	NUM
iajs-2882	41	22	)	)	PUNCT
iajs-2882	41	23	.	.	PUNCT
iajs-2882	42	1	∎	∎	PROPN
iajs-2882	42	2	3	3	X
iajs-2882	42	3	.	.	PUNCT
iajs-2882	43	1	the	the	DET
iajs-2882	43	2	seji	seji	ADJ
iajs-2882	43	3	integral	integral	ADJ
iajs-2882	43	4	transform	transform	NOUN
iajs-2882	43	5	for	for	ADP
iajs-2882	43	6	some	some	DET
iajs-2882	43	7	fundamental	fundamental	ADJ
iajs-2882	43	8	functions	function	NOUN
iajs-2882	43	9	:	:	PUNCT
iajs-2882	44	1	[	[	X
iajs-2882	44	2	16	16	NUM
iajs-2882	44	3	]	]	PUNCT
iajs-2882	44	4	in	in	ADP
iajs-2882	44	5	the	the	DET
iajs-2882	44	6	following	follow	VERB
iajs-2882	44	7	a	a	DET
iajs-2882	44	8	list	list	NOUN
iajs-2882	44	9	the	the	DET
iajs-2882	44	10	seje	seje	NOUN
iajs-2882	44	11	transform	transform	NOUN
iajs-2882	44	12	for	for	ADP
iajs-2882	44	13	some	some	DET
iajs-2882	44	14	important	important	ADJ
iajs-2882	44	15	functions	function	NOUN
iajs-2882	44	16	:	:	PUNCT
iajs-2882	44	17	table	table	NOUN
iajs-2882	44	18	1	1	NUM
iajs-2882	44	19	.	.	PUNCT
iajs-2882	45	1	the	the	DET
iajs-2882	45	2	seje	seje	NOUN
iajs-2882	45	3	transform	transform	VERB
iajs-2882	45	4	for	for	ADP
iajs-2882	45	5	some	some	DET
iajs-2882	45	6	basic	basic	ADJ
iajs-2882	45	7	functions	function	NOUN
iajs-2882	45	8	.	.	PUNCT
iajs-2882	46	1	functions	function	NOUN
iajs-2882	46	2	𝒇(𝒕	𝒇(𝒕	NOUN
iajs-2882	46	3	)	)	PUNCT
iajs-2882	46	4	𝑻𝒈	𝑻𝒈	PROPN
iajs-2882	46	5	𝒄	𝒄	PROPN
iajs-2882	46	6	{	{	PUNCT
iajs-2882	46	7	𝒇(𝒕	𝒇(𝒕	NOUN
iajs-2882	46	8	)	)	PUNCT
iajs-2882	46	9	}	}	PUNCT
iajs-2882	46	10	=	=	SYM
iajs-2882	47	1	𝑭𝒈	𝑭𝒈	PROPN
iajs-2882	47	2	𝒄	𝒄	PROPN
iajs-2882	47	3	(	(	PUNCT
iajs-2882	47	4	𝒔	𝒔	SYM
iajs-2882	47	5	)	)	PUNCT
iajs-2882	47	6	functions	function	NOUN
iajs-2882	47	7	𝒇(𝒕	𝒇(𝒕	NOUN
iajs-2882	47	8	)	)	PUNCT
iajs-2882	47	9	𝑻𝒈	𝑻𝒈	PROPN
iajs-2882	47	10	𝒄	𝒄	PROPN
iajs-2882	47	11	{	{	PUNCT
iajs-2882	47	12	𝒇(𝒕	𝒇(𝒕	NOUN
iajs-2882	47	13	)	)	PUNCT
iajs-2882	47	14	}	}	PUNCT
iajs-2882	47	15	=	=	SYM
iajs-2882	48	1	𝑭𝒈	𝑭𝒈	PROPN
iajs-2882	48	2	𝒄	𝒄	PROPN
iajs-2882	48	3	(	(	PUNCT
iajs-2882	48	4	𝒔	𝒔	SYM
iajs-2882	48	5	)	)	PUNCT
iajs-2882	48	6	1	1	NUM
iajs-2882	48	7	.	.	NOUN
iajs-2882	48	8	1	1	NUM
iajs-2882	48	9	−𝑖𝑝(𝑠	−𝑖𝑝(𝑠	NOUN
iajs-2882	48	10	)	)	PUNCT
iajs-2882	48	11	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	48	12	)	)	PUNCT
iajs-2882	48	13	6	6	NUM
iajs-2882	48	14	.	.	PUNCT
iajs-2882	49	1	𝑒𝛼𝑡	𝑒𝛼𝑡	PROPN
iajs-2882	49	2	,	,	PUNCT
iajs-2882	49	3	𝛼	𝛼	PRON
iajs-2882	49	4	is	be	AUX
iajs-2882	49	5	a	a	DET
iajs-2882	49	6	constant	constant	ADJ
iajs-2882	49	7	−𝑝(𝑠	−𝑝(𝑠	NOUN
iajs-2882	49	8	)	)	PUNCT
iajs-2882	49	9	[	[	PUNCT
iajs-2882	49	10	𝛼	𝛼	X
iajs-2882	49	11	𝛼2	𝛼2	PROPN
iajs-2882	49	12	+	+	CCONJ
iajs-2882	49	13	(	(	PUNCT
iajs-2882	49	14	𝑞(𝑠	𝑞(𝑠	ADJ
iajs-2882	49	15	)	)	PUNCT
iajs-2882	49	16	)	)	PUNCT
iajs-2882	49	17	2	2	NUM
iajs-2882	50	1	+	+	CCONJ
iajs-2882	50	2	𝑖	𝑖	DET
iajs-2882	50	3	𝑞(𝑠	𝑞(𝑠	X
iajs-2882	50	4	)	)	PUNCT
iajs-2882	50	5	𝛼2	𝛼2	PROPN
iajs-2882	50	6	+	+	CCONJ
iajs-2882	50	7	(	(	PUNCT
iajs-2882	50	8	𝑞(𝑠	𝑞(𝑠	ADJ
iajs-2882	50	9	)	)	PUNCT
iajs-2882	50	10	)	)	PUNCT
iajs-2882	51	1	2	2	NUM
iajs-2882	51	2	]	]	PUNCT
iajs-2882	51	3	,	,	PUNCT
iajs-2882	51	4	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	51	5	)	)	PUNCT
iajs-2882	51	6	>	>	PUNCT
iajs-2882	51	7	𝑎.	𝑎.	NOUN
iajs-2882	51	8	2	2	NUM
iajs-2882	51	9	.	.	PUNCT
iajs-2882	51	10	t	t	PROPN
iajs-2882	51	11	−	−	PROPN
iajs-2882	51	12	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	51	13	)	)	PUNCT
iajs-2882	52	1	[	[	X
iajs-2882	52	2	𝑞(𝑠)]2	𝑞(𝑠)]2	NOUN
iajs-2882	52	3	7	7	NUM
iajs-2882	52	4	.	.	NOUN
iajs-2882	52	5	sin(𝛼𝑡	sin(𝛼𝑡	NOUN
iajs-2882	52	6	)	)	PUNCT
iajs-2882	52	7	−𝛼	−𝛼	PROPN
iajs-2882	52	8	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	52	9	)	)	PUNCT
iajs-2882	52	10	(	(	PUNCT
iajs-2882	52	11	𝑞(𝑠	𝑞(𝑠	NOUN
iajs-2882	52	12	)	)	PUNCT
iajs-2882	52	13	)	)	PUNCT
iajs-2882	52	14	2	2	NUM
iajs-2882	52	15	−	−	NOUN
iajs-2882	52	16	𝛼2	𝛼2	PROPN
iajs-2882	52	17	,	,	PUNCT
iajs-2882	52	18	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	52	19	)	)	PUNCT
iajs-2882	52	20	>	>	X
iajs-2882	52	21	|𝛼|	|𝛼|	PROPN
iajs-2882	52	22	3	3	X
iajs-2882	52	23	.	.	PUNCT
iajs-2882	52	24	𝑡2	𝑡2	PROPN
iajs-2882	52	25	2𝑖𝑝(𝑠	2𝑖𝑝(𝑠	NUM
iajs-2882	52	26	)	)	PUNCT
iajs-2882	53	1	[	[	X
iajs-2882	53	2	𝑞(𝑠)]3	𝑞(𝑠)]3	NOUN
iajs-2882	53	3	8	8	NUM
iajs-2882	53	4	.	.	PUNCT
iajs-2882	53	5	cos(𝛼𝑡	cos(𝛼𝑡	NOUN
iajs-2882	53	6	)	)	PUNCT
iajs-2882	53	7	−𝑖	−𝑖	ADJ
iajs-2882	53	8	𝑝(𝑠	𝑝(𝑠	NOUN
iajs-2882	53	9	)	)	PUNCT
iajs-2882	53	10	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	53	11	)	)	PUNCT
iajs-2882	53	12	(	(	PUNCT
iajs-2882	53	13	𝑞(𝑠	𝑞(𝑠	NOUN
iajs-2882	53	14	)	)	PUNCT
iajs-2882	53	15	)	)	PUNCT
iajs-2882	53	16	2	2	NUM
iajs-2882	53	17	−	−	NOUN
iajs-2882	53	18	𝛼2	𝛼2	PROPN
iajs-2882	53	19	,	,	PUNCT
iajs-2882	53	20	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	53	21	)	)	PUNCT
iajs-2882	53	22	>	>	X
iajs-2882	53	23	|𝛼|	|𝛼|	PROPN
iajs-2882	53	24	.	.	PROPN
iajs-2882	53	25	4	4	NUM
iajs-2882	53	26	.	.	NUM
iajs-2882	53	27	𝑡𝑛	𝑡𝑛	NOUN
iajs-2882	53	28	,	,	PUNCT
iajs-2882	53	29	𝑛	𝑛	PRON
iajs-2882	53	30	∈	∈	PROPN
iajs-2882	53	31	𝑁	𝑁	PROPN
iajs-2882	53	32	(	(	PUNCT
iajs-2882	53	33	−𝑖)𝑛+1	−𝑖)𝑛+1	PROPN
iajs-2882	53	34	𝑛	𝑛	PROPN
iajs-2882	53	35	!	!	PUNCT
iajs-2882	53	36	𝑝(𝑠	𝑝(𝑠	X
iajs-2882	53	37	)	)	PUNCT
iajs-2882	54	1	[	[	X
iajs-2882	54	2	𝑞(𝑠)]𝑛+1	𝑞(𝑠)]𝑛+1	PROPN
iajs-2882	54	3	9	9	NUM
iajs-2882	54	4	.	.	PUNCT
iajs-2882	54	5	sinh(𝛼𝑡	sinh(𝛼𝑡	PROPN
iajs-2882	54	6	)	)	PUNCT
iajs-2882	54	7	−𝛼	−𝛼	PROPN
iajs-2882	54	8	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	54	9	)	)	PUNCT
iajs-2882	54	10	(	(	PUNCT
iajs-2882	54	11	𝑞(𝑠	𝑞(𝑠	NOUN
iajs-2882	54	12	)	)	PUNCT
iajs-2882	54	13	)	)	PUNCT
iajs-2882	54	14	2	2	NUM
iajs-2882	55	1	+	+	CCONJ
iajs-2882	55	2	𝛼2	𝛼2	ADJ
iajs-2882	55	3	,	,	PUNCT
iajs-2882	55	4	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	55	5	)	)	PUNCT
iajs-2882	55	6	>	>	X
iajs-2882	56	1	0	0	X
iajs-2882	56	2	.	.	X
iajs-2882	56	3	5	5	NUM
iajs-2882	56	4	.	.	NUM
iajs-2882	56	5	𝑡𝑛	𝑡𝑛	NOUN
iajs-2882	56	6	,	,	PUNCT
iajs-2882	56	7	𝑛	𝑛	PRON
iajs-2882	56	8	>	>	X
iajs-2882	56	9	−1	−1	NOUN
iajs-2882	56	10	(	(	PUNCT
iajs-2882	56	11	−𝑖)𝑛+1	−𝑖)𝑛+1	NOUN
iajs-2882	56	12	γ(𝑛	γ(𝑛	PROPN
iajs-2882	56	13	+	+	CCONJ
iajs-2882	56	14	1	1	X
iajs-2882	56	15	)	)	PUNCT
iajs-2882	56	16	𝑝(𝑠	𝑝(𝑠	NOUN
iajs-2882	56	17	)	)	PUNCT
iajs-2882	57	1	[	[	X
iajs-2882	57	2	𝑞(𝑠)]𝑛+1	𝑞(𝑠)]𝑛+1	PROPN
iajs-2882	57	3	10	10	NUM
iajs-2882	57	4	.	.	PUNCT
iajs-2882	57	5	cosh(𝛼𝑡	cosh(𝛼𝑡	PROPN
iajs-2882	57	6	)	)	PUNCT
iajs-2882	57	7	−𝑖	−𝑖	PROPN
iajs-2882	57	8	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	57	9	)	)	PUNCT
iajs-2882	57	10	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	57	11	)	)	PUNCT
iajs-2882	57	12	(	(	PUNCT
iajs-2882	57	13	𝑞(𝑠	𝑞(𝑠	NOUN
iajs-2882	57	14	)	)	PUNCT
iajs-2882	57	15	)	)	PUNCT
iajs-2882	57	16	2	2	NUM
iajs-2882	58	1	+	+	CCONJ
iajs-2882	58	2	𝛼2	𝛼2	ADJ
iajs-2882	58	3	,	,	PUNCT
iajs-2882	58	4	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	58	5	)	)	PUNCT
iajs-2882	58	6	>	>	X
iajs-2882	59	1	0	0	X
iajs-2882	59	2	.	.	NOUN
iajs-2882	59	3	4	4	NUM
iajs-2882	59	4	.	.	X
iajs-2882	60	1	the	the	DET
iajs-2882	60	2	inverse	inverse	NOUN
iajs-2882	60	3	of	of	ADP
iajs-2882	60	4	seji	seji	ADJ
iajs-2882	60	5	integral	integral	ADJ
iajs-2882	60	6	transform	transform	NOUN
iajs-2882	60	7	for	for	ADP
iajs-2882	60	8	some	some	DET
iajs-2882	60	9	fundamental	fundamental	ADJ
iajs-2882	60	10	functions	function	NOUN
iajs-2882	60	11	:	:	PUNCT
iajs-2882	61	1	[	[	X
iajs-2882	61	2	16	16	NUM
iajs-2882	61	3	]	]	PUNCT
iajs-2882	61	4	in	in	ADP
iajs-2882	61	5	the	the	DET
iajs-2882	61	6	following	follow	VERB
iajs-2882	61	7	a	a	DET
iajs-2882	61	8	list	list	NOUN
iajs-2882	61	9	of	of	ADP
iajs-2882	61	10	the	the	DET
iajs-2882	61	11	inverse	inverse	NOUN
iajs-2882	61	12	of	of	ADP
iajs-2882	61	13	the	the	DET
iajs-2882	61	14	seji	seji	ADJ
iajs-2882	61	15	integral	integral	ADJ
iajs-2882	61	16	transform	transform	NOUN
iajs-2882	61	17	for	for	ADP
iajs-2882	61	18	some	some	DET
iajs-2882	61	19	important	important	ADJ
iajs-2882	61	20	functions	function	NOUN
iajs-2882	61	21	:	:	PUNCT
iajs-2882	61	22	table	table	NOUN
iajs-2882	61	23	2	2	NUM
iajs-2882	61	24	.	.	PUNCT
iajs-2882	62	1	the	the	DET
iajs-2882	62	2	inverse	inverse	NOUN
iajs-2882	62	3	of	of	ADP
iajs-2882	62	4	seje	seje	NOUN
iajs-2882	62	5	transform	transform	NOUN
iajs-2882	62	6	for	for	ADP
iajs-2882	62	7	some	some	DET
iajs-2882	62	8	basic	basic	ADJ
iajs-2882	62	9	functions	function	NOUN
iajs-2882	62	10	.	.	PUNCT
iajs-2882	63	1	ihjpas	ihjpas	PROPN
iajs-2882	63	2	.	.	PUNCT
iajs-2882	64	1	36(1)2023	36(1)2023	NUM
iajs-2882	64	2	403	403	NUM
iajs-2882	64	3	𝑭𝒈	𝑭𝒈	PROPN
iajs-2882	64	4	𝒄	𝒄	PROPN
iajs-2882	64	5	(	(	PUNCT
iajs-2882	64	6	𝒔	𝒔	X
iajs-2882	64	7	)	)	PUNCT
iajs-2882	64	8	𝒇(𝒕	𝒇(𝒕	NUM
iajs-2882	64	9	)	)	PUNCT
iajs-2882	65	1	=	=	PUNCT
iajs-2882	65	2	𝑻𝒈	𝑻𝒈	PROPN
iajs-2882	65	3	𝒄	𝒄	PROPN
iajs-2882	65	4	−𝟏{𝑭𝒈	−𝟏{𝑭𝒈	PROPN
iajs-2882	65	5	𝒄	𝒄	PROPN
iajs-2882	65	6	(	(	PUNCT
iajs-2882	65	7	𝒔	𝒔	X
iajs-2882	65	8	)	)	PUNCT
iajs-2882	65	9	}	}	PUNCT
iajs-2882	66	1	𝑭𝒈	𝑭𝒈	PROPN
iajs-2882	66	2	𝒄	𝒄	PROPN
iajs-2882	66	3	(	(	PUNCT
iajs-2882	66	4	𝒔	𝒔	X
iajs-2882	66	5	)	)	PUNCT
iajs-2882	66	6	𝒇(𝒕	𝒇(𝒕	NUM
iajs-2882	66	7	)	)	PUNCT
iajs-2882	66	8	=	=	PUNCT
iajs-2882	67	1	𝑻𝒈	𝑻𝒈	PROPN
iajs-2882	67	2	𝒄	𝒄	PROPN
iajs-2882	67	3	−𝟏{𝑭𝒈	−𝟏{𝑭𝒈	PROPN
iajs-2882	67	4	𝒄	𝒄	PROPN
iajs-2882	67	5	(	(	PUNCT
iajs-2882	67	6	𝒔	𝒔	X
iajs-2882	67	7	)	)	PUNCT
iajs-2882	67	8	}	}	PUNCT
iajs-2882	67	9	1	1	NUM
iajs-2882	67	10	.	.	PUNCT
iajs-2882	67	11	−𝑖𝑝(𝑠	−𝑖𝑝(𝑠	X
iajs-2882	67	12	)	)	PUNCT
iajs-2882	67	13	𝑞(𝑠	𝑞(𝑠	VERB
iajs-2882	67	14	)	)	PUNCT
iajs-2882	67	15	1	1	NUM
iajs-2882	67	16	6	6	NUM
iajs-2882	67	17	.	.	PUNCT
iajs-2882	67	18	−𝑝(𝑠	−𝑝(𝑠	NOUN
iajs-2882	67	19	)	)	PUNCT
iajs-2882	68	1	[	[	PUNCT
iajs-2882	68	2	𝛽	𝛽	NOUN
iajs-2882	68	3	𝛽2+(𝑞(𝑠	𝛽2+(𝑞(𝑠	PROPN
iajs-2882	68	4	)	)	PUNCT
iajs-2882	68	5	)	)	PUNCT
iajs-2882	69	1	2	2	NUM
iajs-2882	69	2	+	+	CCONJ
iajs-2882	69	3	𝑖	𝑖	PRON
iajs-2882	69	4	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	69	5	)	)	PUNCT
iajs-2882	69	6	𝛽2+(𝑞(𝑠	𝛽2+(𝑞(𝑠	PROPN
iajs-2882	69	7	)	)	PUNCT
iajs-2882	69	8	)	)	PUNCT
iajs-2882	70	1	2	2	NUM
iajs-2882	70	2	]	]	PUNCT
iajs-2882	70	3	,	,	PUNCT
iajs-2882	70	4	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	70	5	)	)	PUNCT
iajs-2882	70	6	>	>	PUNCT
iajs-2882	71	1	𝛽.	𝛽.	VERB
iajs-2882	71	2	𝑒𝛽𝑡	𝑒𝛽𝑡	ADV
iajs-2882	71	3	,	,	PUNCT
iajs-2882	71	4	𝛽	𝛽	NOUN
iajs-2882	71	5	is	be	AUX
iajs-2882	71	6	a	a	DET
iajs-2882	71	7	constant	constant	ADJ
iajs-2882	71	8	2	2	NUM
iajs-2882	71	9	.	.	PUNCT
iajs-2882	71	10	−	−	PROPN
iajs-2882	72	1	𝑝(𝑠	𝑝(𝑠	NOUN
iajs-2882	72	2	)	)	PUNCT
iajs-2882	73	1	[	[	X
iajs-2882	73	2	𝑞(𝑠)]2	𝑞(𝑠)]2	NOUN
iajs-2882	73	3	t	t	PROPN
iajs-2882	73	4	7	7	NUM
iajs-2882	73	5	.	.	PUNCT
iajs-2882	74	1	−𝛽	−𝛽	PROPN
iajs-2882	74	2	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	74	3	)	)	PUNCT
iajs-2882	74	4	(	(	PUNCT
iajs-2882	74	5	𝑞(𝑠	𝑞(𝑠	NOUN
iajs-2882	74	6	)	)	PUNCT
iajs-2882	74	7	)	)	PUNCT
iajs-2882	74	8	2	2	NUM
iajs-2882	74	9	−𝛽2	−𝛽2	VERB
iajs-2882	74	10	,	,	PUNCT
iajs-2882	74	11	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	74	12	)	)	PUNCT
iajs-2882	74	13	>	>	X
iajs-2882	75	1	|𝛽|	|𝛽|	PROPN
iajs-2882	75	2	sin(𝛽𝑡	sin(𝛽𝑡	NOUN
iajs-2882	75	3	)	)	PUNCT
iajs-2882	75	4	3	3	NUM
iajs-2882	75	5	.	.	NOUN
iajs-2882	75	6	2𝑖𝑝(𝑠	2𝑖𝑝(𝑠	NUM
iajs-2882	75	7	)	)	PUNCT
iajs-2882	76	1	[	[	X
iajs-2882	76	2	𝑞(𝑠)]3	𝑞(𝑠)]3	X
iajs-2882	76	3	𝑡2	𝑡2	PROPN
iajs-2882	76	4	2	2	NUM
iajs-2882	76	5	!	!	SYM
iajs-2882	76	6	8	8	NUM
iajs-2882	76	7	.	.	PUNCT
iajs-2882	77	1	−𝑖	−𝑖	ADJ
iajs-2882	77	2	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	77	3	)	)	PUNCT
iajs-2882	77	4	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	77	5	)	)	PUNCT
iajs-2882	77	6	(	(	PUNCT
iajs-2882	77	7	𝑞(𝑠	𝑞(𝑠	NOUN
iajs-2882	77	8	)	)	PUNCT
iajs-2882	77	9	)	)	PUNCT
iajs-2882	78	1	2	2	NUM
iajs-2882	78	2	−𝛽2	−𝛽2	VERB
iajs-2882	78	3	,	,	PUNCT
iajs-2882	78	4	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	78	5	)	)	PUNCT
iajs-2882	78	6	>	>	X
iajs-2882	79	1	|𝛽|	|𝛽|	PROPN
iajs-2882	79	2	.	.	PUNCT
iajs-2882	79	3	cos(𝛽𝑡	cos(𝛽𝑡	NOUN
iajs-2882	79	4	)	)	PUNCT
iajs-2882	79	5	4	4	NUM
iajs-2882	79	6	.	.	X
iajs-2882	80	1	(	(	PUNCT
iajs-2882	80	2	−𝑖)𝑛+1	−𝑖)𝑛+1	NOUN
iajs-2882	80	3	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	80	4	)	)	PUNCT
iajs-2882	81	1	[	[	X
iajs-2882	81	2	𝑞(𝑠)]𝑛+1	𝑞(𝑠)]𝑛+1	PROPN
iajs-2882	81	3	,	,	PUNCT
iajs-2882	81	4	𝑛	𝑛	PRON
iajs-2882	81	5	∈	∈	NOUN
iajs-2882	81	6	𝑁	𝑁	PROPN
iajs-2882	81	7	𝑡𝑛	𝑡𝑛	VERB
iajs-2882	81	8	𝑛	𝑛	NOUN
iajs-2882	81	9	!	!	PROPN
iajs-2882	81	10	9	9	NUM
iajs-2882	81	11	.	.	PUNCT
iajs-2882	81	12	−𝛽	−𝛽	PROPN
iajs-2882	81	13	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	81	14	)	)	PUNCT
iajs-2882	81	15	(	(	PUNCT
iajs-2882	81	16	𝑞(𝑠	𝑞(𝑠	NOUN
iajs-2882	81	17	)	)	PUNCT
iajs-2882	81	18	)	)	PUNCT
iajs-2882	81	19	2	2	NUM
iajs-2882	82	1	+	+	NUM
iajs-2882	82	2	𝛽2	𝛽2	NOUN
iajs-2882	82	3	,	,	PUNCT
iajs-2882	82	4	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	82	5	)	)	PUNCT
iajs-2882	82	6	>	>	X
iajs-2882	82	7	0	0	X
iajs-2882	82	8	.	.	PUNCT
iajs-2882	82	9	sinh(𝛽𝑡	sinh(𝛽𝑡	PROPN
iajs-2882	82	10	)	)	PUNCT
iajs-2882	82	11	5	5	NUM
iajs-2882	82	12	.	.	PUNCT
iajs-2882	82	13	(	(	PUNCT
iajs-2882	82	14	−𝑖)𝑛+1	−𝑖)𝑛+1	NOUN
iajs-2882	82	15	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	82	16	)	)	PUNCT
iajs-2882	83	1	[	[	X
iajs-2882	83	2	𝑞(𝑠)]𝑛+1	𝑞(𝑠)]𝑛+1	PROPN
iajs-2882	83	3	,	,	PUNCT
iajs-2882	83	4	𝑛	𝑛	PRON
iajs-2882	83	5	>	>	X
iajs-2882	83	6	−1	−1	NOUN
iajs-2882	83	7	𝑡𝑛	𝑡𝑛	VERB
iajs-2882	83	8	γ(𝑛	γ(𝑛	PROPN
iajs-2882	83	9	+	+	CCONJ
iajs-2882	83	10	1	1	NUM
iajs-2882	83	11	)	)	PUNCT
iajs-2882	83	12	10	10	NUM
iajs-2882	83	13	.	.	PUNCT
iajs-2882	84	1	−𝑖	−𝑖	ADJ
iajs-2882	84	2	𝑝(𝑠	𝑝(𝑠	NOUN
iajs-2882	84	3	)	)	PUNCT
iajs-2882	84	4	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	84	5	)	)	PUNCT
iajs-2882	84	6	(	(	PUNCT
iajs-2882	84	7	𝑞(𝑠	𝑞(𝑠	NOUN
iajs-2882	84	8	)	)	PUNCT
iajs-2882	84	9	)	)	PUNCT
iajs-2882	84	10	2	2	NUM
iajs-2882	85	1	+	+	NUM
iajs-2882	85	2	𝛽2	𝛽2	NOUN
iajs-2882	85	3	,	,	PUNCT
iajs-2882	85	4	𝑞(𝑠	𝑞(𝑠	PROPN
iajs-2882	85	5	)	)	PUNCT
iajs-2882	85	6	>	>	X
iajs-2882	85	7	0	0	X
iajs-2882	85	8	.	.	PUNCT
iajs-2882	85	9	cosh(𝛽𝑡	cosh(𝛽𝑡	NOUN
iajs-2882	85	10	)	)	PUNCT
iajs-2882	85	11	5.the	5.the	PRON
iajs-2882	85	12	seji	seji	NOUN
iajs-2882	85	13	integral	integral	ADJ
iajs-2882	85	14	transform	transform	NOUN
iajs-2882	85	15	of	of	ADP
iajs-2882	85	16	derivatives	derivative	NOUN
iajs-2882	85	17	of	of	ADP
iajs-2882	85	18	a	a	DET
iajs-2882	85	19	function	function	NOUN
iajs-2882	85	20	𝐟(𝐭	𝐟(𝐭	NUM
iajs-2882	85	21	):	):	PUNCT
iajs-2882	85	22	[	[	X
iajs-2882	85	23	16	16	NUM
iajs-2882	85	24	]	]	PUNCT
iajs-2882	85	25	in	in	ADP
iajs-2882	85	26	[	[	X
iajs-2882	85	27	10	10	NUM
iajs-2882	85	28	]	]	PUNCT
iajs-2882	85	29	gave	give	VERB
iajs-2882	85	30	the	the	DET
iajs-2882	85	31	application	application	NOUN
iajs-2882	85	32	of	of	ADP
iajs-2882	85	33	seji	seji	NOUN
iajs-2882	85	34	integral	integral	ADJ
iajs-2882	85	35	transform	transform	NOUN
iajs-2882	85	36	to	to	ADP
iajs-2882	85	37	derivative	derivative	NOUN
iajs-2882	85	38	of	of	ADP
iajs-2882	85	39	𝑓(𝑡	𝑓(𝑡	NOUN
iajs-2882	85	40	)	)	PUNCT
iajs-2882	85	41	.	.	PUNCT
iajs-2882	86	1	let	let	VERB
iajs-2882	86	2	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	86	3	𝑐{𝑓(𝑡	𝑐{𝑓(𝑡	ADJ
iajs-2882	86	4	)	)	PUNCT
iajs-2882	86	5	}	}	PUNCT
iajs-2882	87	1	=	=	SYM
iajs-2882	87	2	𝐹𝑔	𝐹𝑔	PROPN
iajs-2882	87	3	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	87	4	)	)	PUNCT
iajs-2882	87	5	,	,	PUNCT
iajs-2882	87	6	we	we	PRON
iajs-2882	87	7	get	get	VERB
iajs-2882	87	8	:	:	PUNCT
iajs-2882	87	9	i.	i.	PROPN
iajs-2882	87	10	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	87	11	𝑐{𝑓′(𝑡	𝑐{𝑓′(𝑡	PROPN
iajs-2882	87	12	)	)	PUNCT
iajs-2882	87	13	}	}	PUNCT
iajs-2882	87	14	=	=	SYM
iajs-2882	87	15	𝑖𝑞(𝑠)𝐹𝑔	𝑖𝑞(𝑠)𝐹𝑔	PRON
iajs-2882	87	16	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	87	17	)	)	PUNCT
iajs-2882	87	18	−	−	PROPN
iajs-2882	88	1	𝑓(0)𝑝(𝑠	𝑓(0)𝑝(𝑠	NUM
iajs-2882	88	2	)	)	PUNCT
iajs-2882	88	3	.	.	PUNCT
iajs-2882	89	1	ii	ii	X
iajs-2882	89	2	.	.	PUNCT
iajs-2882	90	1	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	90	2	𝑐{𝑓′′(𝑡	𝑐{𝑓′′(𝑡	NOUN
iajs-2882	90	3	)	)	PUNCT
iajs-2882	90	4	}	}	PUNCT
iajs-2882	90	5	=	=	SYM
iajs-2882	90	6	(	(	PUNCT
iajs-2882	90	7	𝑖𝑞(𝑠	𝑖𝑞(𝑠	ADJ
iajs-2882	90	8	)	)	PUNCT
iajs-2882	90	9	)	)	PUNCT
iajs-2882	91	1	2	2	NUM
iajs-2882	91	2	𝐹𝑔	𝐹𝑔	PROPN
iajs-2882	91	3	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	91	4	)	)	PUNCT
iajs-2882	91	5	−	−	PROPN
iajs-2882	91	6	𝑝(𝑠)𝑓′(0	𝑝(𝑠)𝑓′(0	NOUN
iajs-2882	91	7	)	)	PUNCT
iajs-2882	91	8	−	−	PROPN
iajs-2882	91	9	𝑖𝑞(𝑠)𝑝(𝑠)𝑓(0	𝑖𝑞(𝑠)𝑝(𝑠)𝑓(0	PROPN
iajs-2882	91	10	)	)	PUNCT
iajs-2882	91	11	.	.	PUNCT
iajs-2882	92	1	iii	iii	X
iajs-2882	92	2	.	.	PUNCT
iajs-2882	93	1	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	93	2	𝑐{𝑓(𝑛)(𝑡	𝑐{𝑓(𝑛)(𝑡	PROPN
iajs-2882	93	3	)	)	PUNCT
iajs-2882	93	4	}	}	PUNCT
iajs-2882	93	5	=	=	SYM
iajs-2882	93	6	(	(	PUNCT
iajs-2882	93	7	𝑖𝑞(𝑠	𝑖𝑞(𝑠	ADJ
iajs-2882	93	8	)	)	PUNCT
iajs-2882	93	9	)	)	PUNCT
iajs-2882	94	1	𝑛	𝑛	DET
iajs-2882	94	2	𝐹𝑔	𝐹𝑔	PROPN
iajs-2882	94	3	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	94	4	)	)	PUNCT
iajs-2882	95	1	−	−	PROPN
iajs-2882	96	1	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	96	2	)	)	PUNCT
iajs-2882	97	1	[	[	X
iajs-2882	97	2	∑	∑	INTJ
iajs-2882	97	3	(	(	PUNCT
iajs-2882	97	4	𝑖𝑞(𝑠	𝑖𝑞(𝑠	ADJ
iajs-2882	97	5	)	)	PUNCT
iajs-2882	97	6	)	)	PUNCT
iajs-2882	97	7	𝑘−1𝑛	𝑘−1𝑛	NOUN
iajs-2882	97	8	𝑘=1	𝑘=1	SYM
iajs-2882	97	9	𝑓(𝑛−𝑘)(0	𝑓(𝑛−𝑘)(0	PROPN
iajs-2882	97	10	)	)	PUNCT
iajs-2882	97	11	]	]	PUNCT
iajs-2882	97	12	.	.	PUNCT
iajs-2882	98	1	6.the	6.the	DET
iajs-2882	98	2	method	method	NOUN
iajs-2882	98	3	of	of	ADP
iajs-2882	98	4	seji	seji	NOUN
iajs-2882	98	5	integral	integral	ADJ
iajs-2882	98	6	transform	transform	NOUN
iajs-2882	98	7	for	for	ADP
iajs-2882	98	8	solving	solve	VERB
iajs-2882	98	9	the	the	DET
iajs-2882	98	10	population	population	NOUN
iajs-2882	98	11	growth	growth	NOUN
iajs-2882	98	12	problem	problem	NOUN
iajs-2882	98	13	:	:	PUNCT
iajs-2882	98	14	in	in	ADP
iajs-2882	98	15	this	this	DET
iajs-2882	98	16	section	section	NOUN
iajs-2882	98	17	,	,	PUNCT
iajs-2882	98	18	we	we	PRON
iajs-2882	98	19	illustrate	illustrate	VERB
iajs-2882	98	20	the	the	DET
iajs-2882	98	21	method	method	NOUN
iajs-2882	98	22	of	of	ADP
iajs-2882	98	23	solution	solution	NOUN
iajs-2882	98	24	the	the	DET
iajs-2882	98	25	population	population	NOUN
iajs-2882	98	26	growth	growth	NOUN
iajs-2882	98	27	problem	problem	NOUN
iajs-2882	98	28	in	in	ADP
iajs-2882	98	29	equation	equation	NOUN
iajs-2882	98	30	(	(	PUNCT
iajs-2882	98	31	1	1	NUM
iajs-2882	98	32	)	)	PUNCT
iajs-2882	98	33	and	and	CCONJ
iajs-2882	98	34	(	(	PUNCT
iajs-2882	98	35	2	2	NUM
iajs-2882	98	36	)	)	PUNCT
iajs-2882	98	37	by	by	ADP
iajs-2882	98	38	using	use	VERB
iajs-2882	98	39	the	the	DET
iajs-2882	98	40	seji	seji	NOUN
iajs-2882	98	41	integral	integral	ADJ
iajs-2882	98	42	transform	transform	NOUN
iajs-2882	98	43	.	.	PUNCT
iajs-2882	99	1	take	take	VERB
iajs-2882	99	2	the	the	DET
iajs-2882	99	3	seji	seji	NOUN
iajs-2882	99	4	integral	integral	ADJ
iajs-2882	99	5	transform	transform	NOUN
iajs-2882	99	6	for	for	ADP
iajs-2882	99	7	equation	equation	NOUN
iajs-2882	99	8	(	(	PUNCT
iajs-2882	99	9	1	1	NUM
iajs-2882	99	10	):	):	PUNCT
iajs-2882	99	11	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	99	12	𝑐	𝑐	PROPN
iajs-2882	99	13	{	{	PUNCT
iajs-2882	99	14	𝑑𝑁	𝑑𝑁	PROPN
iajs-2882	99	15	𝑑𝑡	𝑑𝑡	ADP
iajs-2882	99	16	}	}	PUNCT
iajs-2882	99	17	=	=	PUNCT
iajs-2882	99	18	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	99	19	𝑐{𝜇𝑁	𝑐{𝜇𝑁	NOUN
iajs-2882	99	20	}	}	PUNCT
iajs-2882	99	21	.	.	PUNCT
iajs-2882	100	1	(	(	PUNCT
iajs-2882	100	2	5	5	NUM
iajs-2882	100	3	)	)	PUNCT
iajs-2882	100	4	as	as	SCONJ
iajs-2882	100	5	we	we	PRON
iajs-2882	100	6	know	know	VERB
iajs-2882	100	7	,	,	PUNCT
iajs-2882	100	8	seje	seje	VERB
iajs-2882	100	9	transform	transform	NOUN
iajs-2882	100	10	of	of	ADP
iajs-2882	100	11	derivative	derivative	NOUN
iajs-2882	100	12	of	of	ADP
iajs-2882	100	13	function	function	NOUN
iajs-2882	100	14	,	,	PUNCT
iajs-2882	100	15	so	so	SCONJ
iajs-2882	100	16	we	we	PRON
iajs-2882	100	17	get	get	VERB
iajs-2882	100	18	:	:	PUNCT
iajs-2882	100	19	𝑖𝑞(𝑠)𝑁𝑔	𝑖𝑞(𝑠)𝑁𝑔	ADJ
iajs-2882	100	20	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	100	21	)	)	PUNCT
iajs-2882	100	22	−	−	PROPN
iajs-2882	100	23	𝑁(0)𝑝(𝑠	𝑁(0)𝑝(𝑠	NOUN
iajs-2882	100	24	)	)	PUNCT
iajs-2882	100	25	=	=	SYM
iajs-2882	101	1	𝜇𝑁𝑔	𝜇𝑁𝑔	NOUN
iajs-2882	101	2	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	101	3	)	)	PUNCT
iajs-2882	101	4	.	.	PUNCT
iajs-2882	102	1	(	(	PUNCT
iajs-2882	102	2	6	6	NUM
iajs-2882	102	3	)	)	PUNCT
iajs-2882	102	4	by	by	ADP
iajs-2882	102	5	applying	apply	VERB
iajs-2882	102	6	the	the	DET
iajs-2882	102	7	initial	initial	ADJ
iajs-2882	102	8	condition	condition	NOUN
iajs-2882	102	9	(	(	PUNCT
iajs-2882	102	10	2	2	NUM
iajs-2882	102	11	)	)	PUNCT
iajs-2882	102	12	and	and	CCONJ
iajs-2882	102	13	on	on	ADP
iajs-2882	102	14	simplification	simplification	NOUN
iajs-2882	102	15	,	,	PUNCT
iajs-2882	102	16	we	we	PRON
iajs-2882	102	17	get	get	VERB
iajs-2882	102	18	:	:	PUNCT
iajs-2882	102	19	𝑁𝑔	𝑁𝑔	PROPN
iajs-2882	102	20	𝑐(𝑠)[𝑖𝑞(𝑠	𝑐(𝑠)[𝑖𝑞(𝑠	ADJ
iajs-2882	102	21	)	)	PUNCT
iajs-2882	102	22	−	−	ADP
iajs-2882	103	1	𝜇	𝜇	X
iajs-2882	103	2	]	]	X
iajs-2882	103	3	=	=	PUNCT
iajs-2882	103	4	𝑁0𝑝(𝑠	𝑁0𝑝(𝑠	PROPN
iajs-2882	103	5	)	)	PUNCT
iajs-2882	103	6	.	.	PUNCT
iajs-2882	104	1	then	then	ADV
iajs-2882	104	2	,	,	PUNCT
iajs-2882	104	3	𝑁𝑔	𝑁𝑔	PROPN
iajs-2882	104	4	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	104	5	)	)	PUNCT
iajs-2882	104	6	=	=	SYM
iajs-2882	104	7	𝑁0𝑝(𝑠	𝑁0𝑝(𝑠	PROPN
iajs-2882	104	8	)	)	PUNCT
iajs-2882	105	1	[	[	X
iajs-2882	105	2	𝑖𝑞(𝑠	𝑖𝑞(𝑠	X
iajs-2882	105	3	)	)	PUNCT
iajs-2882	105	4	−	−	ADP
iajs-2882	105	5	𝜇	𝜇	X
iajs-2882	105	6	]	]	PUNCT
iajs-2882	105	7	.	.	PUNCT
iajs-2882	106	1	(	(	PUNCT
iajs-2882	106	2	7	7	X
iajs-2882	106	3	)	)	PUNCT
iajs-2882	106	4	for	for	ADP
iajs-2882	106	5	obtaining	obtain	VERB
iajs-2882	106	6	the	the	DET
iajs-2882	106	7	value	value	NOUN
iajs-2882	106	8	of	of	ADP
iajs-2882	106	9	𝑁(𝑡	𝑁(𝑡	VERB
iajs-2882	106	10	)	)	PUNCT
iajs-2882	106	11	we	we	PRON
iajs-2882	106	12	take	take	VERB
iajs-2882	106	13	the	the	DET
iajs-2882	106	14	inverse	inverse	NOUN
iajs-2882	106	15	seje	seje	VERB
iajs-2882	106	16	integral	integral	ADJ
iajs-2882	106	17	transform	transform	NOUN
iajs-2882	106	18	on	on	ADP
iajs-2882	106	19	both	both	DET
iajs-2882	106	20	sides	side	NOUN
iajs-2882	106	21	of	of	ADP
iajs-2882	106	22	(	(	PUNCT
iajs-2882	106	23	7	7	NUM
iajs-2882	106	24	)	)	PUNCT
iajs-2882	106	25	,	,	PUNCT
iajs-2882	106	26	so	so	SCONJ
iajs-2882	106	27	we	we	PRON
iajs-2882	106	28	have	have	VERB
iajs-2882	106	29	:	:	PUNCT
iajs-2882	106	30	𝑁(𝑡	𝑁(𝑡	NUM
iajs-2882	106	31	)	)	PUNCT
iajs-2882	106	32	=	=	SYM
iajs-2882	107	1	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	107	2	𝑐−1{𝑁𝑔	𝑐−1{𝑁𝑔	PROPN
iajs-2882	107	3	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	107	4	)	)	PUNCT
iajs-2882	107	5	}	}	PUNCT
iajs-2882	108	1	=	=	PUNCT
iajs-2882	108	2	𝑁0	𝑁0	VERB
iajs-2882	108	3	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	108	4	𝑐−1	𝑐−1	PROPN
iajs-2882	108	5	{	{	PUNCT
iajs-2882	108	6	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	108	7	)	)	PUNCT
iajs-2882	109	1	[	[	X
iajs-2882	109	2	𝑖𝑞(𝑠	𝑖𝑞(𝑠	X
iajs-2882	109	3	)	)	PUNCT
iajs-2882	109	4	−	−	ADP
iajs-2882	109	5	𝜇	𝜇	X
iajs-2882	109	6	]	]	PUNCT
iajs-2882	109	7	}	}	PUNCT
iajs-2882	109	8	,	,	PUNCT
iajs-2882	109	9	𝑁(𝑡	𝑁(𝑡	X
iajs-2882	109	10	)	)	PUNCT
iajs-2882	109	11	=	=	NOUN
iajs-2882	109	12	𝑁0𝑒𝜇𝑡.	𝑁0𝑒𝜇𝑡.	NOUN
iajs-2882	109	13	∀t	∀t	PROPN
iajs-2882	109	14	≥	≥	NOUN
iajs-2882	109	15	0	0	NUM
iajs-2882	109	16	where	where	SCONJ
iajs-2882	109	17	𝑁(𝑡	𝑁(𝑡	AUX
iajs-2882	109	18	)	)	PUNCT
iajs-2882	109	19	be	be	VERB
iajs-2882	109	20	the	the	DET
iajs-2882	109	21	value	value	NOUN
iajs-2882	109	22	of	of	ADP
iajs-2882	109	23	population	population	NOUN
iajs-2882	109	24	at	at	ADP
iajs-2882	109	25	time	time	NOUN
iajs-2882	109	26	𝑡.	𝑡.	PROPN
iajs-2882	109	27	ihjpas	ihjpas	PROPN
iajs-2882	109	28	.	.	PUNCT
iajs-2882	110	1	36(1)2023	36(1)2023	NUM
iajs-2882	110	2	404	404	NUM
iajs-2882	110	3	7.the	7.the	DET
iajs-2882	110	4	method	method	NOUN
iajs-2882	110	5	of	of	ADP
iajs-2882	110	6	seje	seje	NOUN
iajs-2882	110	7	transform	transform	NOUN
iajs-2882	110	8	for	for	ADP
iajs-2882	110	9	solving	solve	VERB
iajs-2882	110	10	the	the	DET
iajs-2882	110	11	decay	decay	NOUN
iajs-2882	110	12	problem	problem	NOUN
iajs-2882	110	13	:	:	PUNCT
iajs-2882	110	14	in	in	ADP
iajs-2882	110	15	this	this	DET
iajs-2882	110	16	section	section	NOUN
iajs-2882	110	17	,	,	PUNCT
iajs-2882	110	18	we	we	PRON
iajs-2882	110	19	introduce	introduce	VERB
iajs-2882	110	20	the	the	DET
iajs-2882	110	21	method	method	NOUN
iajs-2882	110	22	of	of	ADP
iajs-2882	110	23	solution	solution	NOUN
iajs-2882	110	24	the	the	DET
iajs-2882	110	25	decay	decay	NOUN
iajs-2882	110	26	problem	problem	NOUN
iajs-2882	110	27	in	in	ADP
iajs-2882	110	28	equations	equation	NOUN
iajs-2882	110	29	(	(	PUNCT
iajs-2882	110	30	3	3	NUM
iajs-2882	110	31	)	)	PUNCT
iajs-2882	110	32	and	and	CCONJ
iajs-2882	110	33	(	(	PUNCT
iajs-2882	110	34	4	4	NUM
iajs-2882	110	35	)	)	PUNCT
iajs-2882	110	36	by	by	ADP
iajs-2882	110	37	using	use	VERB
iajs-2882	110	38	the	the	DET
iajs-2882	110	39	seje	seje	NOUN
iajs-2882	110	40	transform	transform	NOUN
iajs-2882	110	41	.	.	PUNCT
iajs-2882	111	1	take	take	VERB
iajs-2882	111	2	the	the	DET
iajs-2882	111	3	seje	seje	NOUN
iajs-2882	111	4	transform	transform	NOUN
iajs-2882	111	5	for	for	ADP
iajs-2882	111	6	equation	equation	NOUN
iajs-2882	111	7	(	(	PUNCT
iajs-2882	111	8	3	3	NUM
iajs-2882	111	9	):	):	PUNCT
iajs-2882	111	10	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	111	11	𝑐	𝑐	PROPN
iajs-2882	111	12	{	{	PUNCT
iajs-2882	111	13	𝑑𝑀	𝑑𝑀	NOUN
iajs-2882	111	14	𝑑𝑡	𝑑𝑡	ADP
iajs-2882	111	15	}	}	PUNCT
iajs-2882	111	16	=	=	PUNCT
iajs-2882	111	17	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	111	18	𝑐{−𝜂𝑀	𝑐{−𝜂𝑀	NOUN
iajs-2882	111	19	}	}	PUNCT
iajs-2882	111	20	.	.	PUNCT
iajs-2882	112	1	(	(	PUNCT
iajs-2882	112	2	8)	8)	NUM
iajs-2882	112	3	as	as	SCONJ
iajs-2882	112	4	we	we	PRON
iajs-2882	112	5	know	know	VERB
iajs-2882	112	6	,	,	PUNCT
iajs-2882	112	7	seje	seje	VERB
iajs-2882	112	8	transform	transform	NOUN
iajs-2882	112	9	of	of	ADP
iajs-2882	112	10	derivative	derivative	NOUN
iajs-2882	112	11	of	of	ADP
iajs-2882	112	12	function	function	NOUN
iajs-2882	112	13	,	,	PUNCT
iajs-2882	112	14	so	so	CCONJ
iajs-2882	112	15	we	we	PRON
iajs-2882	112	16	have	have	VERB
iajs-2882	112	17	:	:	PUNCT
iajs-2882	112	18	𝑖𝑞(𝑠)𝑀𝑔	𝑖𝑞(𝑠)𝑀𝑔	NOUN
iajs-2882	112	19	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	112	20	)	)	PUNCT
iajs-2882	113	1	−	−	PROPN
iajs-2882	113	2	𝑀(0)𝑝(𝑠	𝑀(0)𝑝(𝑠	NOUN
iajs-2882	113	3	)	)	PUNCT
iajs-2882	113	4	=	=	SYM
iajs-2882	113	5	−𝜂𝑀𝑔	−𝜂𝑀𝑔	X
iajs-2882	113	6	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	113	7	)	)	PUNCT
iajs-2882	113	8	.	.	PUNCT
iajs-2882	114	1	(	(	PUNCT
iajs-2882	114	2	9	9	X
iajs-2882	114	3	)	)	PUNCT
iajs-2882	114	4	by	by	ADP
iajs-2882	114	5	applying	apply	VERB
iajs-2882	114	6	the	the	DET
iajs-2882	114	7	initial	initial	ADJ
iajs-2882	114	8	condition	condition	NOUN
iajs-2882	114	9	(	(	PUNCT
iajs-2882	114	10	4	4	NUM
iajs-2882	114	11	)	)	PUNCT
iajs-2882	114	12	and	and	CCONJ
iajs-2882	114	13	on	on	ADP
iajs-2882	114	14	simplification	simplification	NOUN
iajs-2882	114	15	,	,	PUNCT
iajs-2882	114	16	we	we	PRON
iajs-2882	114	17	get	get	VERB
iajs-2882	114	18	:	:	PUNCT
iajs-2882	114	19	𝑀𝑔	𝑀𝑔	PROPN
iajs-2882	114	20	𝑐(𝑠)[𝑖𝑞(𝑠	𝑐(𝑠)[𝑖𝑞(𝑠	NOUN
iajs-2882	114	21	)	)	PUNCT
iajs-2882	115	1	+	+	X
iajs-2882	115	2	𝜂	𝜂	X
iajs-2882	115	3	]	]	X
iajs-2882	115	4	=	=	PUNCT
iajs-2882	115	5	𝑀0𝑝(𝑠	𝑀0𝑝(𝑠	NOUN
iajs-2882	115	6	)	)	PUNCT
iajs-2882	115	7	,	,	PUNCT
iajs-2882	115	8	we	we	PRON
iajs-2882	115	9	obtain	obtain	VERB
iajs-2882	115	10	:	:	PUNCT
iajs-2882	115	11	𝑀𝑔	𝑀𝑔	PROPN
iajs-2882	115	12	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	115	13	)	)	PUNCT
iajs-2882	115	14	=	=	SYM
iajs-2882	115	15	𝑀0𝑝(𝑠	𝑀0𝑝(𝑠	NOUN
iajs-2882	115	16	)	)	PUNCT
iajs-2882	116	1	[	[	X
iajs-2882	116	2	𝑖𝑞(𝑠	𝑖𝑞(𝑠	X
iajs-2882	116	3	)	)	PUNCT
iajs-2882	116	4	+	+	PUNCT
iajs-2882	116	5	𝜂	𝜂	X
iajs-2882	116	6	]	]	PUNCT
iajs-2882	116	7	.	.	PUNCT
iajs-2882	117	1	(	(	PUNCT
iajs-2882	117	2	10	10	NUM
iajs-2882	117	3	)	)	PUNCT
iajs-2882	117	4	for	for	ADP
iajs-2882	117	5	obtaining	obtain	VERB
iajs-2882	117	6	the	the	DET
iajs-2882	117	7	value	value	NOUN
iajs-2882	117	8	of	of	ADP
iajs-2882	117	9	𝑀(𝑡	𝑀(𝑡	NUM
iajs-2882	117	10	)	)	PUNCT
iajs-2882	117	11	we	we	PRON
iajs-2882	117	12	take	take	VERB
iajs-2882	117	13	the	the	DET
iajs-2882	117	14	inverse	inverse	NOUN
iajs-2882	117	15	seje	seje	NOUN
iajs-2882	117	16	transform	transform	NOUN
iajs-2882	117	17	on	on	ADP
iajs-2882	117	18	both	both	DET
iajs-2882	117	19	sides	side	NOUN
iajs-2882	117	20	of	of	ADP
iajs-2882	117	21	(	(	PUNCT
iajs-2882	117	22	10	10	NUM
iajs-2882	117	23	)	)	PUNCT
iajs-2882	117	24	,	,	PUNCT
iajs-2882	117	25	so	so	SCONJ
iajs-2882	117	26	we	we	PRON
iajs-2882	117	27	have	have	VERB
iajs-2882	117	28	:	:	PUNCT
iajs-2882	117	29	𝑀(𝑡	𝑀(𝑡	NUM
iajs-2882	117	30	)	)	PUNCT
iajs-2882	117	31	=	=	PUNCT
iajs-2882	118	1	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	118	2	𝑐−1{𝑀𝑔	𝑐−1{𝑀𝑔	PROPN
iajs-2882	118	3	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	118	4	)	)	PUNCT
iajs-2882	118	5	}	}	PUNCT
iajs-2882	119	1	=	=	SYM
iajs-2882	119	2	𝑀0	𝑀0	ADJ
iajs-2882	119	3	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	119	4	𝑐−1	𝑐−1	PROPN
iajs-2882	119	5	{	{	PUNCT
iajs-2882	119	6	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	119	7	)	)	PUNCT
iajs-2882	120	1	[	[	X
iajs-2882	120	2	𝑖𝑞(𝑠	𝑖𝑞(𝑠	X
iajs-2882	120	3	)	)	PUNCT
iajs-2882	120	4	+	+	PUNCT
iajs-2882	120	5	𝜂	𝜂	X
iajs-2882	120	6	]	]	PUNCT
iajs-2882	120	7	}	}	PUNCT
iajs-2882	120	8	,	,	PUNCT
iajs-2882	120	9	𝑀(𝑡	𝑀(𝑡	NUM
iajs-2882	120	10	)	)	PUNCT
iajs-2882	120	11	=	=	VERB
iajs-2882	121	1	𝑀0𝑒−𝜂𝑡.	𝑀0𝑒−𝜂𝑡.	PROPN
iajs-2882	121	2	∀t	∀t	PROPN
iajs-2882	121	3	≥	≥	NOUN
iajs-2882	121	4	0	0	NUM
iajs-2882	121	5	where	where	SCONJ
iajs-2882	121	6	𝑀(𝑡	𝑀(𝑡	NUM
iajs-2882	121	7	)	)	PUNCT
iajs-2882	121	8	is	be	AUX
iajs-2882	121	9	the	the	DET
iajs-2882	121	10	value	value	NOUN
iajs-2882	121	11	of	of	ADP
iajs-2882	121	12	substance	substance	NOUN
iajs-2882	121	13	at	at	ADP
iajs-2882	121	14	time	time	NOUN
iajs-2882	121	15	𝑡.	𝑡.	NOUN
iajs-2882	121	16	8.applications	8.applications	NUM
iajs-2882	121	17	:	:	PUNCT
iajs-2882	121	18	we	we	PRON
iajs-2882	121	19	have	have	VERB
iajs-2882	121	20	now	now	ADV
iajs-2882	121	21	some	some	DET
iajs-2882	121	22	applications	application	NOUN
iajs-2882	121	23	to	to	PART
iajs-2882	121	24	explain	explain	VERB
iajs-2882	121	25	the	the	DET
iajs-2882	121	26	effect	effect	NOUN
iajs-2882	121	27	of	of	ADP
iajs-2882	121	28	srje	srje	NOUN
iajs-2882	121	29	integral	integral	ADJ
iajs-2882	121	30	transform	transform	NOUN
iajs-2882	121	31	in	in	ADP
iajs-2882	121	32	solving	solve	VERB
iajs-2882	121	33	population	population	NOUN
iajs-2882	121	34	growth	growth	NOUN
iajs-2882	121	35	and	and	CCONJ
iajs-2882	121	36	decay	decay	NOUN
iajs-2882	121	37	problems	problem	NOUN
iajs-2882	121	38	.	.	PUNCT
iajs-2882	122	1	application	application	NOUN
iajs-2882	122	2	8.1	8.1	NUM
iajs-2882	122	3	:	:	PUNCT
iajs-2882	122	4	a	a	DET
iajs-2882	122	5	country	country	NOUN
iajs-2882	122	6	's	's	PART
iajs-2882	122	7	population	population	NOUN
iajs-2882	122	8	expands	expand	VERB
iajs-2882	122	9	at	at	ADP
iajs-2882	122	10	a	a	DET
iajs-2882	122	11	rate	rate	NOUN
iajs-2882	122	12	proportional	proportional	ADJ
iajs-2882	122	13	to	to	ADP
iajs-2882	122	14	the	the	DET
iajs-2882	122	15	number	number	NOUN
iajs-2882	122	16	of	of	ADP
iajs-2882	122	17	people	people	NOUN
iajs-2882	122	18	currently	currently	ADV
iajs-2882	122	19	residing	reside	VERB
iajs-2882	122	20	there	there	ADV
iajs-2882	122	21	.	.	PUNCT
iajs-2882	123	1	if	if	SCONJ
iajs-2882	123	2	the	the	DET
iajs-2882	123	3	population	population	NOUN
iajs-2882	123	4	doubles	double	VERB
iajs-2882	123	5	in	in	ADP
iajs-2882	123	6	three	three	NUM
iajs-2882	123	7	years	year	NOUN
iajs-2882	123	8	and	and	CCONJ
iajs-2882	123	9	reaches	reach	VERB
iajs-2882	123	10	10,000	10,000	NUM
iajs-2882	123	11	in	in	ADP
iajs-2882	123	12	five	five	NUM
iajs-2882	123	13	years	year	NOUN
iajs-2882	123	14	,	,	PUNCT
iajs-2882	123	15	calculate	calculate	VERB
iajs-2882	123	16	the	the	DET
iajs-2882	123	17	number	number	NOUN
iajs-2882	123	18	of	of	ADP
iajs-2882	123	19	individuals	individual	NOUN
iajs-2882	123	20	who	who	PRON
iajs-2882	123	21	lived	live	VERB
iajs-2882	123	22	in	in	ADP
iajs-2882	123	23	the	the	DET
iajs-2882	123	24	country	country	NOUN
iajs-2882	123	25	at	at	ADP
iajs-2882	123	26	the	the	DET
iajs-2882	123	27	start	start	NOUN
iajs-2882	123	28	[	[	X
iajs-2882	123	29	10	10	NUM
iajs-2882	123	30	]	]	PUNCT
iajs-2882	123	31	.	.	PUNCT
iajs-2882	124	1	we	we	PRON
iajs-2882	124	2	can	can	AUX
iajs-2882	124	3	write	write	VERB
iajs-2882	124	4	this	this	DET
iajs-2882	124	5	information	information	NOUN
iajs-2882	124	6	by	by	ADP
iajs-2882	124	7	the	the	DET
iajs-2882	124	8	following	follow	VERB
iajs-2882	124	9	equation	equation	NOUN
iajs-2882	124	10	:	:	PUNCT
iajs-2882	124	11	𝑑𝑁	𝑑𝑁	PROPN
iajs-2882	124	12	𝑑𝑡	𝑑𝑡	ADP
iajs-2882	124	13	=	=	SYM
iajs-2882	124	14	𝜇𝑁.	𝜇𝑁.	X
iajs-2882	124	15	(	(	PUNCT
iajs-2882	124	16	11	11	NUM
iajs-2882	124	17	)	)	PUNCT
iajs-2882	124	18	where	where	SCONJ
iajs-2882	124	19	𝑁	𝑁	PROPN
iajs-2882	124	20	is	be	AUX
iajs-2882	124	21	the	the	DET
iajs-2882	124	22	number	number	NOUN
iajs-2882	124	23	of	of	ADP
iajs-2882	124	24	people	people	NOUN
iajs-2882	124	25	living	live	VERB
iajs-2882	124	26	in	in	ADP
iajs-2882	124	27	the	the	DET
iajs-2882	124	28	country	country	NOUN
iajs-2882	124	29	at	at	ADP
iajs-2882	124	30	time	time	NOUN
iajs-2882	124	31	𝑡	𝑡	PROPN
iajs-2882	124	32	and	and	CCONJ
iajs-2882	124	33	𝜇	𝜇	ADV
iajs-2882	124	34	is	be	AUX
iajs-2882	124	35	a	a	DET
iajs-2882	124	36	proportionality	proportionality	NOUN
iajs-2882	124	37	rate	rate	NOUN
iajs-2882	124	38	.	.	PUNCT
iajs-2882	125	1	assume	assume	VERB
iajs-2882	125	2	that	that	SCONJ
iajs-2882	125	3	𝑁0	𝑁0	PROPN
iajs-2882	125	4	is	be	AUX
iajs-2882	125	5	the	the	DET
iajs-2882	125	6	country	country	NOUN
iajs-2882	125	7	's	's	PART
iajs-2882	125	8	initial	initial	ADJ
iajs-2882	125	9	population	population	NOUN
iajs-2882	125	10	at	at	ADP
iajs-2882	125	11	time	time	NOUN
iajs-2882	125	12	𝑡	𝑡	X
iajs-2882	125	13	=	=	NOUN
iajs-2882	125	14	0	0	X
iajs-2882	125	15	.	.	PUNCT
iajs-2882	126	1	now	now	ADV
iajs-2882	126	2	,	,	PUNCT
iajs-2882	126	3	we	we	PRON
iajs-2882	126	4	will	will	AUX
iajs-2882	126	5	apply	apply	VERB
iajs-2882	126	6	the	the	DET
iajs-2882	126	7	same	same	ADJ
iajs-2882	126	8	steps	step	NOUN
iajs-2882	126	9	in	in	ADP
iajs-2882	126	10	equation	equation	NOUN
iajs-2882	126	11	(	(	PUNCT
iajs-2882	126	12	11	11	NUM
iajs-2882	126	13	)	)	PUNCT
iajs-2882	126	14	,	,	PUNCT
iajs-2882	126	15	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	126	16	𝑐	𝑐	PROPN
iajs-2882	126	17	{	{	PUNCT
iajs-2882	126	18	𝑑𝑁	𝑑𝑁	PROPN
iajs-2882	126	19	𝑑𝑡	𝑑𝑡	ADP
iajs-2882	126	20	}	}	PUNCT
iajs-2882	126	21	=	=	PUNCT
iajs-2882	126	22	𝜇𝑇𝑔	𝜇𝑇𝑔	NOUN
iajs-2882	126	23	𝑐{𝑁	𝑐{𝑁	PROPN
iajs-2882	126	24	}	}	PUNCT
iajs-2882	126	25	.	.	PUNCT
iajs-2882	127	1	(	(	PUNCT
iajs-2882	127	2	12	12	NUM
iajs-2882	127	3	)	)	PUNCT
iajs-2882	127	4	since	since	SCONJ
iajs-2882	127	5	𝑁	𝑁	PROPN
iajs-2882	127	6	=	=	SYM
iajs-2882	127	7	𝑁0	𝑁0	ADJ
iajs-2882	127	8	when	when	SCONJ
iajs-2882	127	9	𝑡	𝑡	X
iajs-2882	127	10	=	=	NOUN
iajs-2882	127	11	0	0	NUM
iajs-2882	127	12	,	,	PUNCT
iajs-2882	127	13	so	so	SCONJ
iajs-2882	127	14	we	we	PRON
iajs-2882	127	15	get	get	VERB
iajs-2882	127	16	:	:	PUNCT
iajs-2882	127	17	𝑁𝑔	𝑁𝑔	PROPN
iajs-2882	127	18	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	127	19	)	)	PUNCT
iajs-2882	127	20	=	=	SYM
iajs-2882	127	21	𝑁0𝑝(𝑠	𝑁0𝑝(𝑠	PROPN
iajs-2882	127	22	)	)	PUNCT
iajs-2882	128	1	[	[	X
iajs-2882	128	2	𝑖𝑞(𝑠	𝑖𝑞(𝑠	X
iajs-2882	128	3	)	)	PUNCT
iajs-2882	128	4	−	−	ADP
iajs-2882	128	5	𝜇	𝜇	X
iajs-2882	128	6	]	]	PUNCT
iajs-2882	128	7	.	.	PUNCT
iajs-2882	129	1	(	(	PUNCT
iajs-2882	129	2	13	13	NUM
iajs-2882	129	3	)	)	PUNCT
iajs-2882	129	4	by	by	ADP
iajs-2882	129	5	applying	apply	VERB
iajs-2882	129	6	inverse	inverse	NOUN
iajs-2882	129	7	of	of	ADP
iajs-2882	129	8	seje	seje	NOUN
iajs-2882	129	9	transform	transform	VERB
iajs-2882	129	10	for	for	ADP
iajs-2882	129	11	(	(	PUNCT
iajs-2882	129	12	13	13	NUM
iajs-2882	129	13	)	)	PUNCT
iajs-2882	129	14	,	,	PUNCT
iajs-2882	129	15	𝑁(𝑡	𝑁(𝑡	NOUN
iajs-2882	129	16	)	)	PUNCT
iajs-2882	129	17	=	=	SYM
iajs-2882	130	1	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	130	2	𝑐−1{𝑁𝑔	𝑐−1{𝑁𝑔	PROPN
iajs-2882	130	3	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	130	4	)	)	PUNCT
iajs-2882	130	5	}	}	PUNCT
iajs-2882	131	1	=	=	PUNCT
iajs-2882	131	2	𝑁0	𝑁0	VERB
iajs-2882	131	3	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	131	4	𝑐−1	𝑐−1	PROPN
iajs-2882	131	5	{	{	PUNCT
iajs-2882	131	6	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	131	7	)	)	PUNCT
iajs-2882	132	1	[	[	X
iajs-2882	132	2	𝑖𝑞(𝑠	𝑖𝑞(𝑠	X
iajs-2882	132	3	)	)	PUNCT
iajs-2882	132	4	−	−	ADP
iajs-2882	132	5	𝜇	𝜇	X
iajs-2882	132	6	]	]	PUNCT
iajs-2882	132	7	}	}	PUNCT
iajs-2882	132	8	,	,	PUNCT
iajs-2882	132	9	𝑁(𝑡	𝑁(𝑡	NOUN
iajs-2882	132	10	)	)	PUNCT
iajs-2882	132	11	=	=	NOUN
iajs-2882	132	12	𝑁0𝑒𝜇𝑡.	𝑁0𝑒𝜇𝑡.	NOUN
iajs-2882	132	13	(	(	PUNCT
iajs-2882	132	14	14	14	NUM
iajs-2882	132	15	)	)	PUNCT
iajs-2882	132	16	at	at	ADP
iajs-2882	132	17	time	time	NOUN
iajs-2882	132	18	𝑡	𝑡	X
iajs-2882	132	19	=	=	NOUN
iajs-2882	132	20	3	3	NUM
iajs-2882	132	21	,	,	PUNCT
iajs-2882	132	22	𝑁	𝑁	PROPN
iajs-2882	132	23	=	=	SYM
iajs-2882	132	24	2𝑁0	2𝑁0	NUM
iajs-2882	132	25	,	,	PUNCT
iajs-2882	132	26	by	by	ADP
iajs-2882	132	27	using	use	VERB
iajs-2882	132	28	in	in	ADP
iajs-2882	132	29	(	(	PUNCT
iajs-2882	132	30	14	14	NUM
iajs-2882	132	31	)	)	PUNCT
iajs-2882	132	32	,	,	PUNCT
iajs-2882	132	33	we	we	PRON
iajs-2882	132	34	find	find	VERB
iajs-2882	132	35	:	:	PUNCT
iajs-2882	132	36	2𝑁0	2𝑁0	NUM
iajs-2882	132	37	=	=	SYM
iajs-2882	132	38	𝑁0𝑒3𝜇	𝑁0𝑒3𝜇	NOUN
iajs-2882	132	39	⇒	⇒	NOUN
iajs-2882	132	40	𝑒3𝜇	𝑒3𝜇	PROPN
iajs-2882	133	1	=	=	SYM
iajs-2882	133	2	2	2	NUM
iajs-2882	133	3	ihjpas	ihjpa	NOUN
iajs-2882	133	4	.	.	PUNCT
iajs-2882	134	1	36(1)2023	36(1)2023	NUM
iajs-2882	134	2	405	405	NUM
iajs-2882	134	3	𝜇	𝜇	X
iajs-2882	134	4	=	=	NOUN
iajs-2882	134	5	0.231	0.231	NUM
iajs-2882	134	6	.	.	PUNCT
iajs-2882	135	1	now	now	ADV
iajs-2882	135	2	at	at	ADP
iajs-2882	135	3	time	time	NOUN
iajs-2882	135	4	𝑡	𝑡	X
iajs-2882	135	5	=	=	SYM
iajs-2882	135	6	5	5	NUM
iajs-2882	135	7	,	,	PUNCT
iajs-2882	135	8	n	n	NOUN
iajs-2882	135	9	=	=	SYM
iajs-2882	135	10	104	104	NUM
iajs-2882	135	11	,	,	PUNCT
iajs-2882	135	12	using	use	VERB
iajs-2882	135	13	in	in	ADP
iajs-2882	135	14	(	(	PUNCT
iajs-2882	135	15	14	14	NUM
iajs-2882	135	16	)	)	PUNCT
iajs-2882	135	17	,	,	PUNCT
iajs-2882	135	18	we	we	PRON
iajs-2882	135	19	get	get	VERB
iajs-2882	135	20	:	:	PUNCT
iajs-2882	135	21	104	104	NUM
iajs-2882	135	22	=	=	SYM
iajs-2882	135	23	𝑁0𝑒3(0.231	𝑁0𝑒3(0.231	NOUN
iajs-2882	135	24	)	)	PUNCT
iajs-2882	135	25	,	,	PUNCT
iajs-2882	135	26	𝑁0	𝑁0	VERB
iajs-2882	135	27	=	=	SYM
iajs-2882	135	28	3151	3151	NUM
iajs-2882	135	29	.	.	PUNCT
iajs-2882	136	1	where	where	SCONJ
iajs-2882	136	2	𝑁0	𝑁0	PROPN
iajs-2882	136	3	is	be	AUX
iajs-2882	136	4	the	the	DET
iajs-2882	136	5	desired	desire	VERB
iajs-2882	136	6	initial	initial	ADJ
iajs-2882	136	7	value	value	NOUN
iajs-2882	136	8	of	of	ADP
iajs-2882	136	9	people	people	NOUN
iajs-2882	136	10	living	live	VERB
iajs-2882	136	11	in	in	ADP
iajs-2882	136	12	the	the	DET
iajs-2882	136	13	country	country	NOUN
iajs-2882	136	14	.	.	PUNCT
iajs-2882	137	1	application	application	NOUN
iajs-2882	137	2	8.2	8.2	NUM
iajs-2882	137	3	:	:	PUNCT
iajs-2882	137	4	if	if	SCONJ
iajs-2882	137	5	there	there	PRON
iajs-2882	137	6	is	be	VERB
iajs-2882	137	7	originally	originally	ADV
iajs-2882	137	8	100	100	NUM
iajs-2882	137	9	mg	mg	NOUN
iajs-2882	137	10	.	.	PUNCT
iajs-2882	138	1	of	of	ADP
iajs-2882	138	2	radioactive	radioactive	ADJ
iajs-2882	138	3	material	material	NOUN
iajs-2882	138	4	present	present	ADJ
iajs-2882	138	5	and	and	CCONJ
iajs-2882	138	6	after	after	ADP
iajs-2882	138	7	three	three	NUM
iajs-2882	138	8	hours	hour	NOUN
iajs-2882	138	9	it	it	PRON
iajs-2882	138	10	is	be	AUX
iajs-2882	138	11	noticed	notice	VERB
iajs-2882	138	12	that	that	SCONJ
iajs-2882	138	13	the	the	DET
iajs-2882	138	14	radioactive	radioactive	ADJ
iajs-2882	138	15	material	material	NOUN
iajs-2882	138	16	has	have	AUX
iajs-2882	138	17	lost	lose	VERB
iajs-2882	138	18	20	20	NUM
iajs-2882	138	19	%	%	NOUN
iajs-2882	138	20	of	of	ADP
iajs-2882	138	21	its	its	PRON
iajs-2882	138	22	original	original	ADJ
iajs-2882	138	23	mass	mass	NOUN
iajs-2882	138	24	,	,	PUNCT
iajs-2882	138	25	calculate	calculate	VERB
iajs-2882	138	26	the	the	DET
iajs-2882	138	27	half	half	ADJ
iajs-2882	138	28	-	-	PUNCT
iajs-2882	138	29	life	life	NOUN
iajs-2882	138	30	of	of	ADP
iajs-2882	138	31	the	the	DET
iajs-2882	138	32	radioactive	radioactive	ADJ
iajs-2882	138	33	substance	substance	NOUN
iajs-2882	138	34	[	[	X
iajs-2882	138	35	10	10	NUM
iajs-2882	138	36	]	]	PUNCT
iajs-2882	138	37	.	.	PUNCT
iajs-2882	139	1	we	we	PRON
iajs-2882	139	2	write	write	VERB
iajs-2882	139	3	these	these	DET
iajs-2882	139	4	information	information	NOUN
iajs-2882	139	5	by	by	ADP
iajs-2882	139	6	the	the	DET
iajs-2882	139	7	following	follow	VERB
iajs-2882	139	8	equation	equation	NOUN
iajs-2882	139	9	:	:	PUNCT
iajs-2882	139	10	𝑑𝑀	𝑑𝑀	PROPN
iajs-2882	139	11	𝑑𝑡	𝑑𝑡	ADP
iajs-2882	139	12	=	=	PUNCT
iajs-2882	139	13	−𝜂𝑀	−𝜂𝑀	PROPN
iajs-2882	139	14	,	,	PUNCT
iajs-2882	139	15	(	(	PUNCT
iajs-2882	139	16	15	15	NUM
iajs-2882	139	17	)	)	PUNCT
iajs-2882	139	18	where	where	SCONJ
iajs-2882	139	19	𝜂	𝜂	NOUN
iajs-2882	139	20	is	be	AUX
iajs-2882	139	21	the	the	DET
iajs-2882	139	22	rate	rate	NOUN
iajs-2882	139	23	of	of	ADP
iajs-2882	139	24	proportionality	proportionality	NOUN
iajs-2882	139	25	and	and	CCONJ
iajs-2882	139	26	𝑀	𝑀	PROPN
iajs-2882	139	27	represents	represent	VERB
iajs-2882	139	28	the	the	DET
iajs-2882	139	29	value	value	NOUN
iajs-2882	139	30	of	of	ADP
iajs-2882	139	31	radioactive	radioactive	ADJ
iajs-2882	139	32	material	material	NOUN
iajs-2882	139	33	at	at	ADP
iajs-2882	139	34	time	time	NOUN
iajs-2882	139	35	.	.	PUNCT
iajs-2882	140	1	assume	assume	VERB
iajs-2882	140	2	that	that	SCONJ
iajs-2882	140	3	at	at	ADP
iajs-2882	140	4	time	time	NOUN
iajs-2882	140	5	𝑡	𝑡	X
iajs-2882	140	6	=	=	NOUN
iajs-2882	140	7	0	0	NUM
iajs-2882	140	8	and	and	CCONJ
iajs-2882	140	9	𝑀0is	𝑀0is	PRON
iajs-2882	140	10	the	the	DET
iajs-2882	140	11	initial	initial	ADJ
iajs-2882	140	12	value	value	NOUN
iajs-2882	140	13	of	of	ADP
iajs-2882	140	14	p	p	NOUN
iajs-2882	140	15	radioactive	radioactive	ADJ
iajs-2882	140	16	material	material	NOUN
iajs-2882	140	17	.	.	PUNCT
iajs-2882	141	1	now	now	ADV
iajs-2882	141	2	,	,	PUNCT
iajs-2882	141	3	we	we	PRON
iajs-2882	141	4	will	will	AUX
iajs-2882	141	5	apply	apply	VERB
iajs-2882	141	6	the	the	DET
iajs-2882	141	7	same	same	ADJ
iajs-2882	141	8	steps	step	NOUN
iajs-2882	141	9	in	in	ADP
iajs-2882	141	10	equation	equation	NOUN
iajs-2882	141	11	(	(	PUNCT
iajs-2882	141	12	15	15	NUM
iajs-2882	141	13	)	)	PUNCT
iajs-2882	141	14	,	,	PUNCT
iajs-2882	141	15	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	141	16	𝑐	𝑐	PROPN
iajs-2882	141	17	{	{	PUNCT
iajs-2882	141	18	𝑑𝑀	𝑑𝑀	NOUN
iajs-2882	141	19	𝑑𝑡	𝑑𝑡	ADP
iajs-2882	141	20	}	}	PUNCT
iajs-2882	141	21	=	=	SYM
iajs-2882	141	22	−𝜂𝑇𝑔	−𝜂𝑇𝑔	X
iajs-2882	141	23	𝑐{𝑀	𝑐{𝑀	NOUN
iajs-2882	141	24	}	}	PUNCT
iajs-2882	141	25	.	.	PUNCT
iajs-2882	142	1	(	(	PUNCT
iajs-2882	142	2	16	16	NUM
iajs-2882	142	3	)	)	PUNCT
iajs-2882	142	4	since	since	SCONJ
iajs-2882	142	5	𝑀	𝑀	PROPN
iajs-2882	142	6	=	=	PUNCT
iajs-2882	142	7	𝑀0	𝑀0	ADJ
iajs-2882	142	8	when	when	SCONJ
iajs-2882	142	9	𝑡	𝑡	X
iajs-2882	142	10	=	=	NOUN
iajs-2882	142	11	0	0	NUM
iajs-2882	142	12	,	,	PUNCT
iajs-2882	142	13	so	so	SCONJ
iajs-2882	142	14	we	we	PRON
iajs-2882	142	15	get	get	VERB
iajs-2882	142	16	:	:	PUNCT
iajs-2882	142	17	𝑀𝑔	𝑀𝑔	NOUN
iajs-2882	142	18	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	142	19	)	)	PUNCT
iajs-2882	142	20	=	=	SYM
iajs-2882	142	21	𝑀0𝑝(𝑠	𝑀0𝑝(𝑠	NOUN
iajs-2882	142	22	)	)	PUNCT
iajs-2882	143	1	[	[	X
iajs-2882	143	2	𝑖𝑞(𝑠	𝑖𝑞(𝑠	X
iajs-2882	143	3	)	)	PUNCT
iajs-2882	143	4	+	+	PUNCT
iajs-2882	143	5	𝜂	𝜂	X
iajs-2882	143	6	]	]	PUNCT
iajs-2882	143	7	.	.	PUNCT
iajs-2882	144	1	(	(	PUNCT
iajs-2882	144	2	17	17	NUM
iajs-2882	144	3	)	)	PUNCT
iajs-2882	144	4	by	by	ADP
iajs-2882	144	5	applying	apply	VERB
iajs-2882	144	6	inverse	inverse	NOUN
iajs-2882	144	7	of	of	ADP
iajs-2882	144	8	seje	seje	VERB
iajs-2882	144	9	integral	integral	ADJ
iajs-2882	144	10	transform	transform	NOUN
iajs-2882	144	11	for	for	ADP
iajs-2882	144	12	(	(	PUNCT
iajs-2882	144	13	17	17	NUM
iajs-2882	144	14	)	)	PUNCT
iajs-2882	144	15	,	,	PUNCT
iajs-2882	144	16	𝑀(𝑡	𝑀(𝑡	NUM
iajs-2882	144	17	)	)	PUNCT
iajs-2882	144	18	=	=	SYM
iajs-2882	145	1	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	145	2	𝑐−1	𝑐−1	PROPN
iajs-2882	145	3	{	{	PUNCT
iajs-2882	145	4	𝑀𝑔	𝑀𝑔	PROPN
iajs-2882	145	5	𝑐(𝑠	𝑐(𝑠	NOUN
iajs-2882	145	6	)	)	PUNCT
iajs-2882	145	7	}	}	PUNCT
iajs-2882	146	1	=	=	SYM
iajs-2882	146	2	𝑀0	𝑀0	ADJ
iajs-2882	146	3	𝑇𝑔	𝑇𝑔	PROPN
iajs-2882	146	4	𝑐−1	𝑐−1	PROPN
iajs-2882	146	5	{	{	PUNCT
iajs-2882	146	6	𝑝(𝑠	𝑝(𝑠	PROPN
iajs-2882	146	7	)	)	PUNCT
iajs-2882	147	1	[	[	X
iajs-2882	147	2	𝑖𝑞(𝑠	𝑖𝑞(𝑠	X
iajs-2882	147	3	)	)	PUNCT
iajs-2882	147	4	+	+	PUNCT
iajs-2882	147	5	𝜂	𝜂	X
iajs-2882	147	6	]	]	PUNCT
iajs-2882	147	7	}	}	PUNCT
iajs-2882	147	8	,	,	PUNCT
iajs-2882	147	9	𝑀(𝑡	𝑀(𝑡	NUM
iajs-2882	147	10	)	)	PUNCT
iajs-2882	147	11	=	=	SYM
iajs-2882	147	12	𝑀0𝑒−𝜂𝑡.	𝑀0𝑒−𝜂𝑡.	NOUN
iajs-2882	147	13	(	(	PUNCT
iajs-2882	147	14	18	18	NUM
iajs-2882	147	15	)	)	PUNCT
iajs-2882	147	16	at	at	ADP
iajs-2882	147	17	time	time	NOUN
iajs-2882	147	18	𝑡	𝑡	X
iajs-2882	147	19	=	=	SYM
iajs-2882	147	20	0	0	NUM
iajs-2882	147	21	,	,	PUNCT
iajs-2882	147	22	𝑀	𝑀	PROPN
iajs-2882	147	23	=	=	PUNCT
iajs-2882	147	24	𝑀0	𝑀0	PROPN
iajs-2882	147	25	=	=	SYM
iajs-2882	147	26	100	100	NUM
iajs-2882	147	27	,	,	PUNCT
iajs-2882	147	28	by	by	ADP
iajs-2882	147	29	using	use	VERB
iajs-2882	147	30	in	in	ADP
iajs-2882	147	31	(	(	PUNCT
iajs-2882	147	32	8.8	8.8	NUM
iajs-2882	147	33	)	)	PUNCT
iajs-2882	147	34	,	,	PUNCT
iajs-2882	147	35	we	we	PRON
iajs-2882	147	36	find	find	VERB
iajs-2882	147	37	:	:	PUNCT
iajs-2882	147	38	𝑀(t	𝑀(t	X
iajs-2882	147	39	)	)	PUNCT
iajs-2882	147	40	=	=	SYM
iajs-2882	147	41	100𝑒𝜂𝑡.	100𝑒𝜂𝑡.	NUM
iajs-2882	147	42	(	(	PUNCT
iajs-2882	147	43	19	19	NUM
iajs-2882	147	44	)	)	PUNCT
iajs-2882	147	45	now	now	ADV
iajs-2882	147	46	at	at	ADP
iajs-2882	147	47	time	time	NOUN
iajs-2882	147	48	t	t	NOUN
iajs-2882	147	49	=	=	SYM
iajs-2882	147	50	5	5	NUM
iajs-2882	147	51	,	,	PUNCT
iajs-2882	147	52	the	the	DET
iajs-2882	147	53	radioactive	radioactive	ADJ
iajs-2882	147	54	material	material	NOUN
iajs-2882	147	55	has	have	AUX
iajs-2882	147	56	lost	lose	VERB
iajs-2882	147	57	20	20	NUM
iajs-2882	147	58	present	present	NOUN
iajs-2882	147	59	of	of	ADP
iajs-2882	147	60	its	its	PRON
iajs-2882	147	61	original	original	ADJ
iajs-2882	147	62	mass	mass	NOUN
iajs-2882	147	63	100	100	NUM
iajs-2882	147	64	mg	mg	NOUN
iajs-2882	147	65	.	.	PUNCT
iajs-2882	148	1	therefore	therefore	ADV
iajs-2882	148	2	,	,	PUNCT
iajs-2882	148	3	𝑀	𝑀	PROPN
iajs-2882	148	4	=	=	PROPN
iajs-2882	148	5	100	100	NUM
iajs-2882	148	6	−	−	NUM
iajs-2882	148	7	20	20	NUM
iajs-2882	148	8	=	=	SYM
iajs-2882	148	9	80	80	NUM
iajs-2882	148	10	is	be	AUX
iajs-2882	148	11	using	use	VERB
iajs-2882	148	12	in	in	ADP
iajs-2882	148	13	(	(	PUNCT
iajs-2882	148	14	18	18	NUM
iajs-2882	148	15	)	)	PUNCT
iajs-2882	148	16	,	,	PUNCT
iajs-2882	148	17	we	we	PRON
iajs-2882	148	18	get	get	VERB
iajs-2882	148	19	:	:	PUNCT
iajs-2882	148	20	80	80	NUM
iajs-2882	148	21	=	=	SYM
iajs-2882	148	22	100𝑒−3𝜂	100𝑒−3𝜂	NUM
iajs-2882	148	23	,	,	PUNCT
iajs-2882	148	24	𝜂	𝜂	NOUN
iajs-2882	148	25	=	=	SYM
iajs-2882	148	26	0.07438	0.07438	NUM
iajs-2882	148	27	.	.	PUNCT
iajs-2882	149	1	(	(	PUNCT
iajs-2882	149	2	20	20	NUM
iajs-2882	149	3	)	)	PUNCT
iajs-2882	149	4	we	we	PRON
iajs-2882	149	5	wanted	want	VERB
iajs-2882	149	6	𝑡	𝑡	ADP
iajs-2882	149	7	when	when	SCONJ
iajs-2882	149	8	𝑀	𝑀	PROPN
iajs-2882	149	9	=	=	PUNCT
iajs-2882	149	10	𝑀0	𝑀0	ADJ
iajs-2882	149	11	2	2	NUM
iajs-2882	149	12	=	=	SYM
iajs-2882	149	13	50	50	NUM
iajs-2882	149	14	,	,	PUNCT
iajs-2882	149	15	then	then	ADV
iajs-2882	149	16	from	from	ADP
iajs-2882	149	17	(	(	PUNCT
iajs-2882	149	18	19	19	NUM
iajs-2882	149	19	)	)	PUNCT
iajs-2882	149	20	,	,	PUNCT
iajs-2882	149	21	we	we	PRON
iajs-2882	149	22	get	get	VERB
iajs-2882	149	23	:	:	PUNCT
iajs-2882	149	24	50	50	NUM
iajs-2882	149	25	=	=	SYM
iajs-2882	149	26	100𝑒−𝜂𝑡.	100𝑒−𝜂𝑡.	NUM
iajs-2882	149	27	(	(	PUNCT
iajs-2882	149	28	21	21	NUM
iajs-2882	149	29	)	)	PUNCT
iajs-2882	149	30	by	by	ADP
iajs-2882	149	31	substituting	substitute	VERB
iajs-2882	149	32	the	the	DET
iajs-2882	149	33	value	value	NOUN
iajs-2882	149	34	of	of	ADP
iajs-2882	149	35	𝜂	𝜂	NOUN
iajs-2882	149	36	in	in	ADP
iajs-2882	149	37	(	(	PUNCT
iajs-2882	149	38	21	21	NUM
iajs-2882	149	39	)	)	PUNCT
iajs-2882	149	40	,	,	PUNCT
iajs-2882	149	41	50	50	NUM
iajs-2882	149	42	=	=	SYM
iajs-2882	149	43	100𝑒−0.07438𝑡	100𝑒−0.07438𝑡	NUM
iajs-2882	149	44	⇒	⇒	NOUN
iajs-2882	149	45	𝑡	𝑡	PROPN
iajs-2882	149	46	=	=	NOUN
iajs-2882	149	47	9.32	9.32	NUM
iajs-2882	149	48	hours	hour	NOUN
iajs-2882	149	49	,	,	PUNCT
iajs-2882	149	50	which	which	PRON
iajs-2882	149	51	t	t	PROPN
iajs-2882	149	52	is	be	AUX
iajs-2882	149	53	the	the	DET
iajs-2882	149	54	desired	desire	VERB
iajs-2882	149	55	half	half	ADJ
iajs-2882	149	56	-	-	PUNCT
iajs-2882	149	57	life	life	NOUN
iajs-2882	149	58	of	of	ADP
iajs-2882	149	59	the	the	DET
iajs-2882	149	60	radioactive	radioactive	ADJ
iajs-2882	149	61	material	material	NOUN
iajs-2882	149	62	.	.	PUNCT
iajs-2882	150	1	9.conclusion	9.conclusion	NUM
iajs-2882	150	2	in	in	ADP
iajs-2882	150	3	this	this	DET
iajs-2882	150	4	study	study	NOUN
iajs-2882	150	5	,	,	PUNCT
iajs-2882	150	6	we	we	PRON
iajs-2882	150	7	show	show	VERB
iajs-2882	150	8	how	how	SCONJ
iajs-2882	150	9	to	to	PART
iajs-2882	150	10	improve	improve	VERB
iajs-2882	150	11	the	the	DET
iajs-2882	150	12	seji	seji	NOUN
iajs-2882	150	13	integral	integral	ADJ
iajs-2882	150	14	transform	transform	NOUN
iajs-2882	150	15	approach	approach	NOUN
iajs-2882	150	16	for	for	ADP
iajs-2882	150	17	solving	solve	VERB
iajs-2882	150	18	population	population	NOUN
iajs-2882	150	19	growth	growth	NOUN
iajs-2882	150	20	and	and	CCONJ
iajs-2882	150	21	decay	decay	NOUN
iajs-2882	150	22	problems	problem	NOUN
iajs-2882	150	23	.	.	PUNCT
iajs-2882	151	1	the	the	DET
iajs-2882	151	2	effect	effect	NOUN
iajs-2882	151	3	of	of	ADP
iajs-2882	151	4	the	the	DET
iajs-2882	151	5	seji	seji	ADJ
iajs-2882	151	6	integral	integral	ADJ
iajs-2882	151	7	transform	transform	NOUN
iajs-2882	151	8	for	for	ADP
iajs-2882	151	9	tackling	tackle	VERB
iajs-2882	151	10	these	these	DET
iajs-2882	151	11	difficulties	difficulty	NOUN
iajs-2882	151	12	is	be	AUX
iajs-2882	151	13	explained	explain	VERB
iajs-2882	151	14	through	through	ADP
iajs-2882	151	15	the	the	DET
iajs-2882	151	16	applications	application	NOUN
iajs-2882	151	17	.	.	PUNCT
iajs-2882	152	1	so	so	ADV
iajs-2882	152	2	,	,	PUNCT
iajs-2882	152	3	we	we	PRON
iajs-2882	152	4	can	can	AUX
iajs-2882	152	5	use	use	VERB
iajs-2882	152	6	the	the	DET
iajs-2882	152	7	suggested	suggest	VERB
iajs-2882	152	8	transform	transform	NOUN
iajs-2882	152	9	to	to	PART
iajs-2882	152	10	solve	solve	VERB
iajs-2882	152	11	the	the	DET
iajs-2882	152	12	population	population	NOUN
iajs-2882	152	13	growth	growth	NOUN
iajs-2882	152	14	and	and	CCONJ
iajs-2882	152	15	decay	decay	NOUN
iajs-2882	152	16	problems	problem	NOUN
iajs-2882	152	17	for	for	ADP
iajs-2882	152	18	the	the	DET
iajs-2882	152	19	different	different	ADJ
iajs-2882	152	20	organisms	organism	NOUN
iajs-2882	152	21	.	.	PUNCT
iajs-2882	153	1	references	reference	NOUN
iajs-2882	153	2	ihjpas	ihjpa	VERB
iajs-2882	153	3	.	.	PUNCT
iajs-2882	154	1	36(1)2023	36(1)2023	NUM
iajs-2882	154	2	406	406	NUM
iajs-2882	154	3	1	1	NUM
iajs-2882	154	4	.	.	PUNCT
iajs-2882	155	1	singh	singh	PROPN
iajs-2882	155	2	,	,	PUNCT
iajs-2882	155	3	g.p	g.p	PROPN
iajs-2882	155	4	.	.	PROPN
iajs-2882	155	5	;	;	PUNCT
iajs-2882	155	6	aggarwal	aggarwal	PROPN
iajs-2882	155	7	,	,	PUNCT
iajs-2882	155	8	s.	s.	PROPN
iajs-2882	155	9	sawi	sawi	AUX
iajs-2882	155	10	transform	transform	VERB
iajs-2882	155	11	for	for	ADP
iajs-2882	155	12	population	population	NOUN
iajs-2882	155	13	growth	growth	NOUN
iajs-2882	155	14	and	and	CCONJ
iajs-2882	155	15	decay	decay	NOUN
iajs-2882	155	16	problems	problem	NOUN
iajs-2882	155	17	.	.	PUNCT
iajs-2882	156	1	international	international	ADJ
iajs-2882	156	2	journal	journal	NOUN
iajs-2882	156	3	of	of	ADP
iajs-2882	156	4	latest	late	ADJ
iajs-2882	156	5	technology	technology	NOUN
iajs-2882	156	6	in	in	ADP
iajs-2882	156	7	engineering	engineering	NOUN
iajs-2882	156	8	,	,	PUNCT
iajs-2882	156	9	management	management	NOUN
iajs-2882	156	10	&	&	CCONJ
iajs-2882	156	11	applied	apply	VERB
iajs-2882	156	12	science	science	NOUN
iajs-2882	156	13	,	,	PUNCT
iajs-2882	156	14	2019	2019	NUM
iajs-2882	156	15	,	,	PUNCT
iajs-2882	156	16	8(8	8(8	NUM
iajs-2882	156	17	)	)	PUNCT
iajs-2882	156	18	.	.	PUNCT
iajs-2882	157	1	2	2	X
iajs-2882	157	2	.	.	X
iajs-2882	157	3	aggarwal	aggarwal	NOUN
iajs-2882	157	4	,	,	PUNCT
iajs-2882	157	5	s.	s.	PROPN
iajs-2882	157	6	;	;	PUNCT
iajs-2882	157	7	sharma	sharma	PROPN
iajs-2882	157	8	,	,	PUNCT
iajs-2882	157	9	s.	s.	PROPN
iajs-2882	157	10	d.	d.	PROPN
iajs-2882	157	11	solution	solution	NOUN
iajs-2882	157	12	of	of	ADP
iajs-2882	157	13	population	population	NOUN
iajs-2882	157	14	growth	growth	NOUN
iajs-2882	157	15	and	and	CCONJ
iajs-2882	157	16	decay	decay	NOUN
iajs-2882	157	17	problems	problem	NOUN
iajs-2882	157	18	using	use	VERB
iajs-2882	157	19	smudu	smudu	NOUN
iajs-2882	157	20	transform	transform	NOUN
iajs-2882	157	21	,	,	PUNCT
iajs-2882	157	22	international	international	ADJ
iajs-2882	157	23	journal	journal	NOUN
iajs-2882	157	24	of	of	ADP
iajs-2882	157	25	research	research	NOUN
iajs-2882	157	26	and	and	CCONJ
iajs-2882	157	27	innovation	innovation	NOUN
iajs-2882	157	28	applied	apply	VERB
iajs-2882	157	29	scence	scence	NOUN
iajs-2882	157	30	(	(	PUNCT
iajs-2882	157	31	ijrias	ijrias	PROPN
iajs-2882	157	32	)	)	PUNCT
iajs-2882	157	33	(	(	PUNCT
iajs-2882	157	34	2020	2020	NUM
iajs-2882	157	35	)	)	PUNCT
iajs-2882	157	36	,	,	PUNCT
iajs-2882	157	37	vol.v	vol.v	NUM
iajs-2882	157	38	,	,	PUNCT
iajs-2882	157	39	issue	issue	NOUN
iajs-2882	157	40	vii	vii	PROPN
iajs-2882	157	41	,	,	PUNCT
iajs-2882	157	42	july	july	PROPN
iajs-2882	157	43	3	3	NUM
iajs-2882	157	44	.	.	PUNCT
iajs-2882	158	1	aggarwal	aggarwal	PROPN
iajs-2882	158	2	,	,	PUNCT
iajs-2882	158	3	s.	s.	PROPN
iajs-2882	158	4	;	;	PUNCT
iajs-2882	158	5	sharma	sharma	PROPN
iajs-2882	158	6	,	,	PUNCT
iajs-2882	158	7	n.	n.	NOUN
iajs-2882	158	8	;	;	PUNCT
iajs-2882	158	9	chauhan	chauhan	PROPN
iajs-2882	158	10	,	,	PUNCT
iajs-2882	158	11	r.	r.	PROPN
iajs-2882	158	12	solution	solution	NOUN
iajs-2882	158	13	of	of	ADP
iajs-2882	158	14	population	population	NOUN
iajs-2882	158	15	growth	growth	NOUN
iajs-2882	158	16	and	and	CCONJ
iajs-2882	158	17	decay	decay	NOUN
iajs-2882	158	18	problems	problem	NOUN
iajs-2882	158	19	by	by	ADP
iajs-2882	158	20	using	use	VERB
iajs-2882	158	21	mohand	mohand	NOUN
iajs-2882	158	22	transform	transform	NOUN
iajs-2882	158	23	.	.	PUNCT
iajs-2882	159	1	international	international	ADJ
iajs-2882	159	2	journal	journal	NOUN
iajs-2882	159	3	of	of	ADP
iajs-2882	159	4	research	research	NOUN
iajs-2882	159	5	in	in	ADP
iajs-2882	159	6	advent	advent	ADJ
iajs-2882	159	7	technology	technology	NOUN
iajs-2882	159	8	,	,	PUNCT
iajs-2882	159	9	2018	2018	NUM
iajs-2882	159	10	,	,	PUNCT
iajs-2882	159	11	6(11	6(11	NUM
iajs-2882	159	12	)	)	PUNCT
iajs-2882	159	13	,	,	PUNCT
iajs-2882	159	14	3277	3277	NUM
iajs-2882	159	15	-	-	SYM
iajs-2882	159	16	3282	3282	NUM
iajs-2882	159	17	.	.	PUNCT
iajs-2882	160	1	4	4	X
iajs-2882	160	2	.	.	X
iajs-2882	160	3	aggarwal	aggarwal	NOUN
iajs-2882	160	4	,	,	PUNCT
iajs-2882	160	5	s.	s.	PROPN
iajs-2882	160	6	;	;	PUNCT
iajs-2882	160	7	gupta	gupta	PROPN
iajs-2882	160	8	,	,	PUNCT
iajs-2882	160	9	a.r	a.r	PROPN
iajs-2882	160	10	.	.	PROPN
iajs-2882	160	11	;	;	PUNCT
iajs-2882	160	12	asthana	asthana	PROPN
iajs-2882	160	13	,	,	PUNCT
iajs-2882	160	14	n.	n.	PROPN
iajs-2882	160	15	;	;	PUNCT
iajs-2882	160	16	singh	singh	PROPN
iajs-2882	160	17	,	,	PUNCT
iajs-2882	160	18	d.p	d.p	PROPN
iajs-2882	160	19	.	.	PROPN
iajs-2882	160	20	application	application	NOUN
iajs-2882	160	21	of	of	ADP
iajs-2882	160	22	kamal	kamal	PROPN
iajs-2882	160	23	transform	transform	NOUN
iajs-2882	160	24	for	for	ADP
iajs-2882	160	25	solving	solve	VERB
iajs-2882	160	26	population	population	NOUN
iajs-2882	160	27	growth	growth	NOUN
iajs-2882	160	28	and	and	CCONJ
iajs-2882	160	29	decay	decay	NOUN
iajs-2882	160	30	problems	problem	NOUN
iajs-2882	160	31	.	.	PUNCT
iajs-2882	161	1	global	global	ADJ
iajs-2882	161	2	journal	journal	PROPN
iajs-2882	161	3	of	of	ADP
iajs-2882	161	4	engineering	engineering	NOUN
iajs-2882	161	5	science	science	NOUN
iajs-2882	161	6	and	and	CCONJ
iajs-2882	161	7	researches	research	NOUN
iajs-2882	161	8	,	,	PUNCT
iajs-2882	161	9	2018	2018	NUM
iajs-2882	161	10	,	,	PUNCT
iajs-2882	161	11	5(9	5(9	NUM
iajs-2882	161	12	)	)	PUNCT
iajs-2882	161	13	,	,	PUNCT
iajs-2882	161	14	254	254	NUM
iajs-2882	161	15	-	-	SYM
iajs-2882	161	16	260	260	NUM
iajs-2882	161	17	.	.	NOUN
iajs-2882	162	1	5	5	NUM
iajs-2882	162	2	.	.	X
iajs-2882	162	3	aggarwal	aggarwal	NOUN
iajs-2882	162	4	,	,	PUNCT
iajs-2882	162	5	s.	s.	PROPN
iajs-2882	162	6	;	;	PUNCT
iajs-2882	162	7	sharma	sharma	PROPN
iajs-2882	162	8	,	,	PUNCT
iajs-2882	162	9	s.d	s.d	PROPN
iajs-2882	162	10	.	.	PROPN
iajs-2882	162	11	;	;	PUNCT
iajs-2882	163	1	gupta	gupta	PROPN
iajs-2882	163	2	,	,	PUNCT
iajs-2882	163	3	a.r	a.r	PROPN
iajs-2882	163	4	.	.	PROPN
iajs-2882	163	5	application	application	NOUN
iajs-2882	163	6	of	of	ADP
iajs-2882	163	7	shehu	shehu	NOUN
iajs-2882	163	8	transform	transform	VERB
iajs-2882	163	9	for	for	ADP
iajs-2882	163	10	handling	handle	VERB
iajs-2882	163	11	growth	growth	NOUN
iajs-2882	163	12	and	and	CCONJ
iajs-2882	163	13	decay	decay	NOUN
iajs-2882	163	14	problems	problem	NOUN
iajs-2882	163	15	.	.	PUNCT
iajs-2882	164	1	global	global	ADJ
iajs-2882	164	2	journal	journal	PROPN
iajs-2882	164	3	of	of	ADP
iajs-2882	164	4	engineering	engineering	NOUN
iajs-2882	164	5	science	science	NOUN
iajs-2882	164	6	and	and	CCONJ
iajs-2882	164	7	researches	research	NOUN
iajs-2882	164	8	,	,	PUNCT
iajs-2882	164	9	2019,6(4	2019,6(4	NUM
iajs-2882	164	10	)	)	PUNCT
iajs-2882	164	11	,	,	PUNCT
iajs-2882	164	12	190	190	NUM
iajs-2882	164	13	-	-	SYM
iajs-2882	164	14	198	198	NUM
iajs-2882	164	15	.	.	PUNCT
iajs-2882	165	1	6	6	NUM
iajs-2882	165	2	.	.	X
iajs-2882	165	3	aggarwal	aggarwal	NOUN
iajs-2882	165	4	,	,	PUNCT
iajs-2882	165	5	s.	s.	PROPN
iajs-2882	165	6	;	;	PUNCT
iajs-2882	165	7	singh	singh	PROPN
iajs-2882	165	8	,	,	PUNCT
iajs-2882	165	9	d.	d.	PROPN
iajs-2882	165	10	p.	p.	PROPN
iajs-2882	165	11	;	;	PUNCT
iajs-2882	166	1	asthana	asthana	PROPN
iajs-2882	166	2	,	,	PUNCT
iajs-2882	166	3	n.	n.	PROPN
iajs-2882	166	4	;	;	PUNCT
iajs-2882	166	5	gupta	gupta	PROPN
iajs-2882	166	6	,	,	PUNCT
iajs-2882	166	7	a.r	a.r	PROPN
iajs-2882	166	8	.	.	PROPN
iajs-2882	166	9	application	application	NOUN
iajs-2882	166	10	of	of	ADP
iajs-2882	166	11	elzaki	elzaki	NOUN
iajs-2882	166	12	transform	transform	NOUN
iajs-2882	166	13	for	for	ADP
iajs-2882	166	14	solving	solve	VERB
iajs-2882	166	15	population	population	NOUN
iajs-2882	166	16	growth	growth	NOUN
iajs-2882	166	17	and	and	CCONJ
iajs-2882	166	18	decay	decay	NOUN
iajs-2882	166	19	problems	problem	NOUN
iajs-2882	166	20	.	.	PUNCT
iajs-2882	167	1	journal	journal	NOUN
iajs-2882	167	2	of	of	ADP
iajs-2882	167	3	emerging	emerge	VERB
iajs-2882	167	4	technologies	technology	NOUN
iajs-2882	167	5	and	and	CCONJ
iajs-2882	167	6	innovative	innovative	ADJ
iajs-2882	167	7	research	research	NOUN
iajs-2882	167	8	,	,	PUNCT
iajs-2882	167	9	2018,5(9	2018,5(9	NUM
iajs-2882	167	10	)	)	PUNCT
iajs-2882	167	11	,	,	PUNCT
iajs-2882	167	12	281	281	NUM
iajs-2882	167	13	-	-	SYM
iajs-2882	167	14	284	284	NUM
iajs-2882	167	15	,	,	PUNCT
iajs-2882	167	16	7	7	NUM
iajs-2882	167	17	.	.	PUNCT
iajs-2882	167	18	eman	eman	PROPN
iajs-2882	167	19	a.	a.	PROPN
iajs-2882	167	20	mansour	mansour	PROPN
iajs-2882	167	21	,	,	PUNCT
iajs-2882	167	22	emad	emad	PROPN
iajs-2882	167	23	a.	a.	PROPN
iajs-2882	167	24	kuffi	kuffi	PROPN
iajs-2882	167	25	;	;	PUNCT
iajs-2882	167	26	sadiq	sadiq	PROPN
iajs-2882	167	27	a.	a.	PROPN
iajs-2882	167	28	mehdi	mehdi	PROPN
iajs-2882	167	29	,	,	PUNCT
iajs-2882	167	30	solving	solve	VERB
iajs-2882	167	31	population	population	NOUN
iajs-2882	167	32	growth	growth	NOUN
iajs-2882	167	33	and	and	CCONJ
iajs-2882	167	34	decay	decay	NOUN
iajs-2882	167	35	problems	problem	NOUN
iajs-2882	167	36	using	use	VERB
iajs-2882	167	37	complex	complex	ADJ
iajs-2882	167	38	see	see	NOUN
iajs-2882	167	39	transform	transform	NOUN
iajs-2882	167	40	,	,	PUNCT
iajs-2882	167	41	7th	7th	ADJ
iajs-2882	167	42	international	international	ADJ
iajs-2882	167	43	conference	conference	NOUN
iajs-2882	167	44	on	on	ADP
iajs-2882	167	45	contemporary	contemporary	ADJ
iajs-2882	167	46	information	information	NOUN
iajs-2882	167	47	technology	technology	NOUN
iajs-2882	167	48	and	and	CCONJ
iajs-2882	167	49	mathematics	mathematic	NOUN
iajs-2882	167	50	(	(	PUNCT
iajs-2882	167	51	iccitm-2021	iccitm-2021	ADJ
iajs-2882	167	52	)	)	PUNCT
iajs-2882	167	53	,	,	PUNCT
iajs-2882	167	54	mosul	mosul	PROPN
iajs-2882	167	55	,	,	PUNCT
iajs-2882	167	56	iraq	iraq	PROPN
iajs-2882	167	57	.	.	PUNCT
iajs-2882	168	1	8.ahsan	8.ahsan	NUM
iajs-2882	168	2	,	,	PUNCT
iajs-2882	168	3	z.	z.	PROPN
iajs-2882	168	4	,	,	PUNCT
iajs-2882	168	5	differential	differential	ADJ
iajs-2882	168	6	equations	equation	NOUN
iajs-2882	168	7	and	and	CCONJ
iajs-2882	168	8	their	their	PRON
iajs-2882	168	9	applications	application	NOUN
iajs-2882	168	10	,	,	PUNCT
iajs-2882	168	11	phi	phi	NOUN
iajs-2882	168	12	,	,	PUNCT
iajs-2882	168	13	2006	2006	NUM
iajs-2882	168	14	.	.	PUNCT
iajs-2882	169	1	9.ang	9.ang	NUM
iajs-2882	169	2	,	,	PUNCT
iajs-2882	169	3	w.t	w.t	PROPN
iajs-2882	169	4	.	.	PUNCT
iajs-2882	169	5	;	;	PUNCT
iajs-2882	169	6	park	park	PROPN
iajs-2882	169	7	,	,	PUNCT
iajs-2882	169	8	y.s	y.s	PROPN
iajs-2882	169	9	.	.	PROPN
iajs-2882	169	10	:	:	PUNCT
iajs-2882	169	11	ordinary	ordinary	ADJ
iajs-2882	169	12	differential	differential	ADJ
iajs-2882	169	13	equations	equation	NOUN
iajs-2882	169	14	:	:	PUNCT
iajs-2882	169	15	methods	method	NOUN
iajs-2882	169	16	and	and	CCONJ
iajs-2882	169	17	applications	application	NOUN
iajs-2882	169	18	,	,	PUNCT
iajs-2882	169	19	universal	universal	ADJ
iajs-2882	169	20	publishers	publisher	NOUN
iajs-2882	169	21	,	,	PUNCT
iajs-2882	169	22	2008	2008	NUM
iajs-2882	169	23	.	.	PUNCT
iajs-2882	170	1	10.bronson	10.bronson	NUM
iajs-2882	170	2	,	,	PUNCT
iajs-2882	170	3	r.	r.	PROPN
iajs-2882	170	4	;	;	PUNCT
iajs-2882	170	5	costa	costa	PROPN
iajs-2882	170	6	,	,	PUNCT
iajs-2882	170	7	g.b	g.b	PROPN
iajs-2882	170	8	.	.	PUNCT
iajs-2882	170	9	:	:	PUNCT
iajs-2882	171	1	schaum	schaum	PROPN
iajs-2882	171	2	’s	’s	PART
iajs-2882	171	3	outline	outline	NOUN
iajs-2882	171	4	of	of	ADP
iajs-2882	171	5	differential	differential	ADJ
iajs-2882	171	6	equations	equation	NOUN
iajs-2882	171	7	,	,	PUNCT
iajs-2882	171	8	mcgraw	mcgraw	PROPN
iajs-2882	171	9	-	-	PUNCT
iajs-2882	171	10	hill	hill	NOUN
iajs-2882	171	11	,	,	PUNCT
iajs-2882	171	12	2021	2021	NUM
iajs-2882	171	13	.	.	PUNCT
iajs-2882	172	1	11.weigelhofer	11.weigelhofer	NUM
iajs-2882	172	2	,	,	PUNCT
iajs-2882	172	3	w.s	w.s	PROPN
iajs-2882	172	4	.	.	PUNCT
iajs-2882	172	5	;	;	PUNCT
iajs-2882	172	6	lindsay	lindsay	PROPN
iajs-2882	172	7	,	,	PUNCT
iajs-2882	172	8	k.a	k.a	PROPN
iajs-2882	172	9	.	.	PROPN
iajs-2882	172	10	:	:	PUNCT
iajs-2882	173	1	ordinary	ordinary	ADJ
iajs-2882	173	2	differential	differential	ADJ
iajs-2882	173	3	equations	equation	NOUN
iajs-2882	173	4	&	&	CCONJ
iajs-2882	173	5	applications	application	NOUN
iajs-2882	173	6	:	:	PUNCT
iajs-2882	173	7	mathematical	mathematical	ADJ
iajs-2882	173	8	methods	method	NOUN
iajs-2882	173	9	for	for	ADP
iajs-2882	173	10	applied	applied	ADJ
iajs-2882	173	11	mathematicians	mathematician	NOUN
iajs-2882	173	12	,	,	PUNCT
iajs-2882	173	13	physicists	physicist	NOUN
iajs-2882	173	14	,	,	PUNCT
iajs-2882	173	15	engineers	engineer	NOUN
iajs-2882	173	16	and	and	CCONJ
iajs-2882	173	17	bioscientists	bioscientist	NOUN
iajs-2882	173	18	,	,	PUNCT
iajs-2882	173	19	woodhead	woodhead	ADJ
iajs-2882	173	20	,	,	PUNCT
iajs-2882	173	21	1999	1999	NUM
iajs-2882	173	22	.	.	PUNCT
iajs-2882	174	1	12.zill	12.zill	NUM
iajs-2882	174	2	,	,	PUNCT
iajs-2882	174	3	d.g	d.g	PROPN
iajs-2882	174	4	.	.	PROPN
iajs-2882	174	5	;	;	PUNCT
iajs-2882	174	6	cullen	cullen	VERB
iajs-2882	174	7	,	,	PUNCT
iajs-2882	174	8	m.r	m.r	PROPN
iajs-2882	174	9	.	.	PROPN
iajs-2882	174	10	,	,	PUNCT
iajs-2882	174	11	differential	differential	ADJ
iajs-2882	174	12	equations	equation	NOUN
iajs-2882	174	13	with	with	ADP
iajs-2882	174	14	boundary	boundary	ADJ
iajs-2882	174	15	value	value	NOUN
iajs-2882	174	16	problems	problem	NOUN
iajs-2882	174	17	,	,	PUNCT
iajs-2882	174	18	thomson	thomson	PROPN
iajs-2882	174	19	brooks/	brooks/	PROPN
iajs-2882	174	20	cole	cole	PROPN
iajs-2882	174	21	,	,	PUNCT
iajs-2882	174	22	1996	1996	NUM
iajs-2882	174	23	.	.	PUNCT
iajs-2882	175	1	13.gorain	13.gorain	NUM
iajs-2882	175	2	,	,	PUNCT
iajs-2882	175	3	g.c	g.c	PROPN
iajs-2882	175	4	.	.	PROPN
iajs-2882	175	5	,	,	PUNCT
iajs-2882	175	6	introductory	introductory	ADJ
iajs-2882	175	7	course	course	NOUN
iajs-2882	175	8	on	on	ADP
iajs-2882	175	9	differential	differential	ADJ
iajs-2882	175	10	equations	equation	NOUN
iajs-2882	175	11	,	,	PUNCT
iajs-2882	175	12	narosa	narosa	PROPN
iajs-2882	175	13	,	,	PUNCT
iajs-2882	175	14	2014	2014	NUM
iajs-2882	175	15	.	.	PUNCT
iajs-2882	176	1	14.kapur	14.kapur	NUM
iajs-2882	176	2	,	,	PUNCT
iajs-2882	176	3	j.n	j.n	PROPN
iajs-2882	176	4	.	.	PROPN
iajs-2882	176	5	,	,	PUNCT
iajs-2882	176	6	mathematical	mathematical	ADJ
iajs-2882	176	7	modelling	modelling	NOUN
iajs-2882	176	8	,	,	PUNCT
iajs-2882	176	9	new	new	ADJ
iajs-2882	176	10	-	-	PUNCT
iajs-2882	176	11	age	age	NOUN
iajs-2882	176	12	,	,	PUNCT
iajs-2882	176	13	2005	2005	NUM
iajs-2882	176	14	.	.	PUNCT
iajs-2882	177	1	15.roberts	15.roberts	NUM
iajs-2882	177	2	,	,	PUNCT
iajs-2882	177	3	c.	c.	NOUN
iajs-2882	177	4	,	,	PUNCT
iajs-2882	177	5	ordinary	ordinary	ADJ
iajs-2882	177	6	differential	differential	ADJ
iajs-2882	177	7	equations	equation	NOUN
iajs-2882	177	8	:	:	PUNCT
iajs-2882	177	9	applications	application	NOUN
iajs-2882	177	10	,	,	PUNCT
iajs-2882	177	11	models	model	NOUN
iajs-2882	177	12	and	and	CCONJ
iajs-2882	177	13	computing	computing	NOUN
iajs-2882	177	14	,	,	PUNCT
iajs-2882	177	15	chapman	chapman	NOUN
iajs-2882	177	16	and	and	CCONJ
iajs-2882	177	17	hall/	hall/	NUM
iajs-2882	177	18	crc	crc	NOUN
iajs-2882	177	19	,	,	PUNCT
iajs-2882	177	20	2010	2010	NUM
iajs-2882	177	21	.	.	PUNCT
iajs-2882	178	1	16.sadiq	16.sadiq	X
iajs-2882	178	2	a.	a.	NOUN
iajs-2882	178	3	mehdi	mehdi	PROPN
iajs-2882	178	4	,	,	PUNCT
iajs-2882	178	5	emad	emad	PROPN
iajs-2882	178	6	a.	a.	PROPN
iajs-2882	178	7	kuffi	kuffi	PROPN
iajs-2882	178	8	;	;	PUNCT
iajs-2882	178	9	jinan	jinan	PROPN
iajs-2882	178	10	a.	a.	PROPN
iajs-2882	178	11	jasim	jasim	PROPN
iajs-2882	178	12	,	,	PUNCT
iajs-2882	178	13	solving	solve	VERB
iajs-2882	178	14	ordinary	ordinary	ADJ
iajs-2882	178	15	differential	differential	ADJ
iajs-2882	178	16	equations	equation	NOUN
iajs-2882	178	17	using	use	VERB
iajs-2882	178	18	a	a	DET
iajs-2882	178	19	new	new	ADJ
iajs-2882	178	20	general	general	ADJ
iajs-2882	178	21	complex	complex	ADJ
iajs-2882	178	22	integral	integral	ADJ
iajs-2882	178	23	transform	transform	NOUN
iajs-2882	178	24	,	,	PUNCT
iajs-2882	178	25	journal	journal	NOUN
iajs-2882	178	26	of	of	ADP
iajs-2882	178	27	interdisciplinary	interdisciplinary	ADJ
iajs-2882	178	28	mathematics	mathematic	NOUN
iajs-2882	178	29	,	,	PUNCT
iajs-2882	178	30	doi:10.1080/09720502.2022.2089381	doi:10.1080/09720502.2022.2089381	PROPN
iajs-2882	178	31	,	,	PUNCT
iajs-2882	178	32	2022	2022	NUM
iajs-2882	178	33	.	.	PUNCT