id	sid	tid	token	lemma	pos
ejpam-4066	1	1	european	european	PROPN
ejpam-4066	1	2	journal	journal	PROPN
ejpam-4066	1	3	of	of	ADP
ejpam-4066	1	4	pure	pure	ADJ
ejpam-4066	1	5	and	and	CCONJ
ejpam-4066	1	6	applied	apply	VERB
ejpam-4066	1	7	mathematics	mathematic	NOUN
ejpam-4066	1	8	vol	vol	NOUN
ejpam-4066	1	9	.	.	PUNCT
ejpam-4066	2	1	14	14	NUM
ejpam-4066	2	2	,	,	PUNCT
ejpam-4066	2	3	no	no	INTJ
ejpam-4066	2	4	.	.	NOUN
ejpam-4066	2	5	4	4	NUM
ejpam-4066	2	6	,	,	PUNCT
ejpam-4066	2	7	2021	2021	NUM
ejpam-4066	2	8	,	,	PUNCT
ejpam-4066	2	9	1184	1184	NUM
ejpam-4066	2	10	-	-	SYM
ejpam-4066	2	11	1199	1199	NUM
ejpam-4066	2	12	issn	issn	PROPN
ejpam-4066	2	13	1307	1307	NUM
ejpam-4066	2	14	-	-	SYM
ejpam-4066	2	15	5543	5543	NUM
ejpam-4066	2	16	–	–	PUNCT
ejpam-4066	2	17	ejpam.com	ejpam.com	X
ejpam-4066	2	18	published	publish	VERB
ejpam-4066	2	19	by	by	ADP
ejpam-4066	2	20	new	new	PROPN
ejpam-4066	2	21	york	york	PROPN
ejpam-4066	2	22	business	business	PROPN
ejpam-4066	2	23	global	global	ADJ
ejpam-4066	2	24	analytical	analytical	ADJ
ejpam-4066	2	25	study	study	NOUN
ejpam-4066	2	26	for	for	ADP
ejpam-4066	2	27	certain	certain	ADJ
ejpam-4066	2	28	ordinary	ordinary	ADJ
ejpam-4066	2	29	differential	differential	ADJ
ejpam-4066	2	30	equations	equation	NOUN
ejpam-4066	2	31	with	with	ADP
ejpam-4066	2	32	variable	variable	ADJ
ejpam-4066	2	33	coefficients	coefficient	NOUN
ejpam-4066	2	34	via	via	ADP
ejpam-4066	2	35	gα	gα	NOUN
ejpam-4066	2	36	-	-	PUNCT
ejpam-4066	2	37	transform	transform	NOUN
ejpam-4066	2	38	patarawadee	patarawadee	PROPN
ejpam-4066	2	39	prasertsang1	prasertsang1	PROPN
ejpam-4066	2	40	,	,	PUNCT
ejpam-4066	2	41	supaknaree	supaknaree	PROPN
ejpam-4066	2	42	sattaso1,∗	sattaso1,∗	NOUN
ejpam-4066	2	43	,	,	PUNCT
ejpam-4066	2	44	kamsing	kamse	VERB
ejpam-4066	2	45	nonlaopon2	nonlaopon2	NOUN
ejpam-4066	2	46	,	,	PUNCT
ejpam-4066	2	47	hwajoon	hwajoon	PROPN
ejpam-4066	2	48	kim3	kim3	PROPN
ejpam-4066	2	49	1	1	NUM
ejpam-4066	2	50	department	department	NOUN
ejpam-4066	2	51	of	of	ADP
ejpam-4066	2	52	general	general	ADJ
ejpam-4066	2	53	science	science	PROPN
ejpam-4066	2	54	,	,	PUNCT
ejpam-4066	2	55	kasetsart	kasetsart	PROPN
ejpam-4066	2	56	university	university	PROPN
ejpam-4066	2	57	,	,	PUNCT
ejpam-4066	2	58	chalermphrakiat	chalermphrakiat	PROPN
ejpam-4066	2	59	sakon	sakon	PROPN
ejpam-4066	2	60	nakhon	nakhon	PROPN
ejpam-4066	2	61	province	province	PROPN
ejpam-4066	2	62	campus	campus	PROPN
ejpam-4066	2	63	,	,	PUNCT
ejpam-4066	2	64	sakon	sakon	PROPN
ejpam-4066	2	65	nakhon	nakhon	PROPN
ejpam-4066	2	66	47000	47000	NUM
ejpam-4066	2	67	,	,	PUNCT
ejpam-4066	2	68	thailand	thailand	PROPN
ejpam-4066	2	69	2	2	NUM
ejpam-4066	2	70	department	department	NOUN
ejpam-4066	2	71	of	of	ADP
ejpam-4066	2	72	mathematics	mathematic	NOUN
ejpam-4066	2	73	,	,	PUNCT
ejpam-4066	2	74	faculty	faculty	NOUN
ejpam-4066	2	75	of	of	ADP
ejpam-4066	2	76	science	science	NOUN
ejpam-4066	2	77	,	,	PUNCT
ejpam-4066	2	78	khon	khon	PROPN
ejpam-4066	2	79	kaen	kaen	PROPN
ejpam-4066	2	80	university	university	PROPN
ejpam-4066	2	81	,	,	PUNCT
ejpam-4066	2	82	khon	khon	PROPN
ejpam-4066	2	83	kaen	kaen	PROPN
ejpam-4066	2	84	40002	40002	NUM
ejpam-4066	2	85	,	,	PUNCT
ejpam-4066	2	86	thailand	thailand	PROPN
ejpam-4066	2	87	3	3	NUM
ejpam-4066	2	88	department	department	NOUN
ejpam-4066	2	89	of	of	ADP
ejpam-4066	2	90	it	it	PRON
ejpam-4066	2	91	engineering	engineering	NOUN
ejpam-4066	2	92	,	,	PUNCT
ejpam-4066	2	93	kyungdong	kyungdong	PROPN
ejpam-4066	2	94	university	university	PROPN
ejpam-4066	2	95	,	,	PUNCT
ejpam-4066	2	96	yangju	yangju	PROPN
ejpam-4066	2	97	,	,	PUNCT
ejpam-4066	2	98	gyeonggi	gyeonggi	PROPN
ejpam-4066	2	99	,	,	PUNCT
ejpam-4066	2	100	korea	korea	PROPN
ejpam-4066	2	101	abstract	abstract	NOUN
ejpam-4066	2	102	.	.	PUNCT
ejpam-4066	3	1	gα	gα	NOUN
ejpam-4066	3	2	-	-	PUNCT
ejpam-4066	3	3	transform	transform	NOUN
ejpam-4066	3	4	,	,	PUNCT
ejpam-4066	3	5	which	which	PRON
ejpam-4066	3	6	is	be	AUX
ejpam-4066	3	7	a	a	DET
ejpam-4066	3	8	comprehensive	comprehensive	ADJ
ejpam-4066	3	9	and	and	CCONJ
ejpam-4066	3	10	essential	essential	ADJ
ejpam-4066	3	11	form	form	NOUN
ejpam-4066	3	12	of	of	ADP
ejpam-4066	3	13	laplace	laplace	NOUN
ejpam-4066	3	14	-	-	PUNCT
ejpam-4066	3	15	type	type	NOUN
ejpam-4066	3	16	integral	integral	ADJ
ejpam-4066	3	17	transforms	transform	NOUN
ejpam-4066	3	18	,	,	PUNCT
ejpam-4066	3	19	has	have	VERB
ejpam-4066	3	20	both	both	DET
ejpam-4066	3	21	advantages	advantage	NOUN
ejpam-4066	3	22	and	and	CCONJ
ejpam-4066	3	23	limitations	limitation	NOUN
ejpam-4066	3	24	.	.	PUNCT
ejpam-4066	4	1	the	the	DET
ejpam-4066	4	2	purpose	purpose	NOUN
ejpam-4066	4	3	of	of	ADP
ejpam-4066	4	4	this	this	DET
ejpam-4066	4	5	study	study	NOUN
ejpam-4066	4	6	is	be	AUX
ejpam-4066	4	7	to	to	PART
ejpam-4066	4	8	consider	consider	VERB
ejpam-4066	4	9	the	the	DET
ejpam-4066	4	10	applicable	applicable	ADJ
ejpam-4066	4	11	range	range	NOUN
ejpam-4066	4	12	ofgα	ofgα	NOUN
ejpam-4066	4	13	-	-	PUNCT
ejpam-4066	4	14	transform	transform	NOUN
ejpam-4066	4	15	in	in	ADP
ejpam-4066	4	16	finding	find	VERB
ejpam-4066	4	17	solutions	solution	NOUN
ejpam-4066	4	18	of	of	ADP
ejpam-4066	4	19	ordinary	ordinary	ADJ
ejpam-4066	4	20	differential	differential	ADJ
ejpam-4066	4	21	equations	equation	NOUN
ejpam-4066	4	22	with	with	ADP
ejpam-4066	4	23	variable	variable	ADJ
ejpam-4066	4	24	coefficients	coefficient	NOUN
ejpam-4066	4	25	.	.	PUNCT
ejpam-4066	5	1	finally	finally	ADV
ejpam-4066	5	2	,	,	PUNCT
ejpam-4066	5	3	several	several	ADJ
ejpam-4066	5	4	examples	example	NOUN
ejpam-4066	5	5	are	be	AUX
ejpam-4066	5	6	given	give	VERB
ejpam-4066	5	7	to	to	PART
ejpam-4066	5	8	demonstrate	demonstrate	VERB
ejpam-4066	5	9	the	the	DET
ejpam-4066	5	10	effectiveness	effectiveness	NOUN
ejpam-4066	5	11	of	of	ADP
ejpam-4066	5	12	these	these	DET
ejpam-4066	5	13	results	result	NOUN
ejpam-4066	5	14	.	.	PUNCT
ejpam-4066	6	1	2020	2020	NUM
ejpam-4066	6	2	mathematics	mathematic	NOUN
ejpam-4066	6	3	subject	subject	NOUN
ejpam-4066	6	4	classifications	classification	NOUN
ejpam-4066	6	5	:	:	PUNCT
ejpam-4066	6	6	34a25	34a25	NUM
ejpam-4066	6	7	,	,	PUNCT
ejpam-4066	6	8	34a26	34a26	NUM
ejpam-4066	6	9	,	,	PUNCT
ejpam-4066	6	10	44a05	44a05	NUM
ejpam-4066	6	11	key	key	ADJ
ejpam-4066	6	12	words	word	NOUN
ejpam-4066	6	13	and	and	CCONJ
ejpam-4066	6	14	phrases	phrase	NOUN
ejpam-4066	6	15	:	:	PUNCT
ejpam-4066	6	16	laplace	laplace	NOUN
ejpam-4066	6	17	transform	transform	NOUN
ejpam-4066	6	18	,	,	PUNCT
ejpam-4066	6	19	sumudu	sumudu	NOUN
ejpam-4066	6	20	transform	transform	NOUN
ejpam-4066	6	21	,	,	PUNCT
ejpam-4066	6	22	elzaki	elzaki	NOUN
ejpam-4066	6	23	transform	transform	NOUN
ejpam-4066	6	24	,	,	PUNCT
ejpam-4066	6	25	gα	gα	NOUN
ejpam-4066	6	26	-	-	PUNCT
ejpam-4066	6	27	transform	transform	NOUN
ejpam-4066	6	28	,	,	PUNCT
ejpam-4066	6	29	ordinary	ordinary	ADJ
ejpam-4066	6	30	differential	differential	ADJ
ejpam-4066	6	31	equation	equation	NOUN
ejpam-4066	6	32	1	1	NUM
ejpam-4066	6	33	.	.	PUNCT
ejpam-4066	6	34	introduction	introduction	NOUN
ejpam-4066	6	35	the	the	DET
ejpam-4066	6	36	differential	differential	ADJ
ejpam-4066	6	37	equations	equation	NOUN
ejpam-4066	6	38	have	have	AUX
ejpam-4066	6	39	played	play	VERB
ejpam-4066	6	40	a	a	DET
ejpam-4066	6	41	central	central	ADJ
ejpam-4066	6	42	role	role	NOUN
ejpam-4066	6	43	in	in	ADP
ejpam-4066	6	44	every	every	DET
ejpam-4066	6	45	aspect	aspect	NOUN
ejpam-4066	6	46	of	of	ADP
ejpam-4066	6	47	applied	apply	VERB
ejpam-4066	6	48	mathematics	mathematic	NOUN
ejpam-4066	6	49	for	for	ADP
ejpam-4066	6	50	a	a	DET
ejpam-4066	6	51	very	very	ADV
ejpam-4066	6	52	long	long	ADJ
ejpam-4066	6	53	time	time	NOUN
ejpam-4066	6	54	,	,	PUNCT
ejpam-4066	6	55	and	and	CCONJ
ejpam-4066	6	56	their	their	PRON
ejpam-4066	6	57	importance	importance	NOUN
ejpam-4066	6	58	has	have	AUX
ejpam-4066	6	59	increased	increase	VERB
ejpam-4066	6	60	further	far	ADV
ejpam-4066	6	61	with	with	ADP
ejpam-4066	6	62	the	the	DET
ejpam-4066	6	63	advent	advent	NOUN
ejpam-4066	6	64	of	of	ADP
ejpam-4066	6	65	computers	computer	NOUN
ejpam-4066	6	66	.	.	PUNCT
ejpam-4066	7	1	several	several	ADJ
ejpam-4066	7	2	mathematical	mathematical	ADJ
ejpam-4066	7	3	methods	method	NOUN
ejpam-4066	7	4	have	have	AUX
ejpam-4066	7	5	been	be	AUX
ejpam-4066	7	6	applied	apply	VERB
ejpam-4066	7	7	by	by	ADP
ejpam-4066	7	8	various	various	ADJ
ejpam-4066	7	9	researchers	researcher	NOUN
ejpam-4066	7	10	in	in	ADP
ejpam-4066	7	11	various	various	ADJ
ejpam-4066	7	12	fields	field	NOUN
ejpam-4066	7	13	of	of	ADP
ejpam-4066	7	14	science	science	NOUN
ejpam-4066	7	15	and	and	CCONJ
ejpam-4066	7	16	engineering	engineering	NOUN
ejpam-4066	7	17	to	to	PART
ejpam-4066	7	18	obtain	obtain	VERB
ejpam-4066	7	19	the	the	DET
ejpam-4066	7	20	analytical	analytical	ADJ
ejpam-4066	7	21	solutions	solution	NOUN
ejpam-4066	7	22	of	of	ADP
ejpam-4066	7	23	differential	differential	ADJ
ejpam-4066	7	24	equations	equation	NOUN
ejpam-4066	7	25	,	,	PUNCT
ejpam-4066	7	26	which	which	PRON
ejpam-4066	7	27	appeared	appear	VERB
ejpam-4066	7	28	in	in	ADP
ejpam-4066	7	29	the	the	DET
ejpam-4066	7	30	literature	literature	NOUN
ejpam-4066	7	31	[	[	X
ejpam-4066	7	32	26	26	NUM
ejpam-4066	7	33	,	,	PUNCT
ejpam-4066	7	34	34	34	NUM
ejpam-4066	7	35	,	,	PUNCT
ejpam-4066	7	36	36	36	NUM
ejpam-4066	7	37	]	]	PUNCT
ejpam-4066	7	38	.	.	PUNCT
ejpam-4066	8	1	to	to	PART
ejpam-4066	8	2	solve	solve	VERB
ejpam-4066	8	3	the	the	DET
ejpam-4066	8	4	differential	differential	ADJ
ejpam-4066	8	5	equations	equation	NOUN
ejpam-4066	8	6	,	,	PUNCT
ejpam-4066	8	7	the	the	DET
ejpam-4066	8	8	integral	integral	ADJ
ejpam-4066	8	9	transforms	transform	NOUN
ejpam-4066	8	10	were	be	AUX
ejpam-4066	8	11	extensively	extensively	ADV
ejpam-4066	8	12	used	use	VERB
ejpam-4066	8	13	.	.	PUNCT
ejpam-4066	9	1	the	the	DET
ejpam-4066	9	2	laplace	laplace	NOUN
ejpam-4066	9	3	transform	transform	NOUN
ejpam-4066	9	4	is	be	AUX
ejpam-4066	9	5	one	one	NUM
ejpam-4066	9	6	of	of	ADP
ejpam-4066	9	7	many	many	ADJ
ejpam-4066	9	8	integral	integral	ADJ
ejpam-4066	9	9	transforms	transform	NOUN
ejpam-4066	9	10	in	in	ADP
ejpam-4066	9	11	applied	applied	ADJ
ejpam-4066	9	12	mathematics	mathematic	NOUN
ejpam-4066	9	13	and	and	CCONJ
ejpam-4066	9	14	is	be	AUX
ejpam-4066	9	15	often	often	ADV
ejpam-4066	9	16	used	use	VERB
ejpam-4066	9	17	to	to	PART
ejpam-4066	9	18	solve	solve	VERB
ejpam-4066	9	19	differential	differential	ADJ
ejpam-4066	9	20	equations	equation	NOUN
ejpam-4066	9	21	.	.	PUNCT
ejpam-4066	10	1	the	the	DET
ejpam-4066	10	2	laplace	laplace	NOUN
ejpam-4066	10	3	transform	transform	NOUN
ejpam-4066	10	4	reduces	reduce	VERB
ejpam-4066	10	5	a	a	DET
ejpam-4066	10	6	linear	linear	ADJ
ejpam-4066	10	7	differential	differential	ADJ
ejpam-4066	10	8	equation	equation	NOUN
ejpam-4066	10	9	to	to	ADP
ejpam-4066	10	10	an	an	DET
ejpam-4066	10	11	algebraic	algebraic	ADJ
ejpam-4066	10	12	equation	equation	NOUN
ejpam-4066	10	13	,	,	PUNCT
ejpam-4066	10	14	which	which	PRON
ejpam-4066	10	15	can	can	AUX
ejpam-4066	10	16	then	then	ADV
ejpam-4066	10	17	be	be	AUX
ejpam-4066	10	18	solved	solve	VERB
ejpam-4066	10	19	using	use	VERB
ejpam-4066	10	20	algebra	algebra	NOUN
ejpam-4066	10	21	’s	’s	PART
ejpam-4066	10	22	formal	formal	ADJ
ejpam-4066	10	23	rules	rule	NOUN
ejpam-4066	10	24	.	.	PUNCT
ejpam-4066	11	1	after	after	ADP
ejpam-4066	11	2	that	that	PRON
ejpam-4066	11	3	,	,	PUNCT
ejpam-4066	11	4	the	the	DET
ejpam-4066	11	5	differential	differential	ADJ
ejpam-4066	11	6	equation	equation	NOUN
ejpam-4066	11	7	can	can	AUX
ejpam-4066	11	8	then	then	ADV
ejpam-4066	11	9	be	be	AUX
ejpam-4066	11	10	solved	solve	VERB
ejpam-4066	11	11	by	by	ADP
ejpam-4066	11	12	applying	apply	VERB
ejpam-4066	11	13	the	the	DET
ejpam-4066	11	14	inverse	inverse	NOUN
ejpam-4066	11	15	laplace	laplace	NOUN
ejpam-4066	11	16	transform	transform	NOUN
ejpam-4066	11	17	[	[	X
ejpam-4066	11	18	33	33	NUM
ejpam-4066	11	19	]	]	PUNCT
ejpam-4066	11	20	.	.	PUNCT
ejpam-4066	12	1	the	the	DET
ejpam-4066	12	2	laplace	laplace	NOUN
ejpam-4066	12	3	transform	transform	NOUN
ejpam-4066	12	4	is	be	AUX
ejpam-4066	12	5	beneficial	beneficial	ADJ
ejpam-4066	12	6	for	for	ADP
ejpam-4066	12	7	finding	find	VERB
ejpam-4066	12	8	the	the	DET
ejpam-4066	12	9	solution	solution	NOUN
ejpam-4066	12	10	of	of	ADP
ejpam-4066	12	11	the	the	DET
ejpam-4066	12	12	diffusion	diffusion	NOUN
ejpam-4066	12	13	equation	equation	NOUN
ejpam-4066	12	14	in	in	ADP
ejpam-4066	12	15	transient	transient	ADJ
ejpam-4066	12	16	flow	flow	NOUN
ejpam-4066	12	17	[	[	X
ejpam-4066	12	18	8	8	NUM
ejpam-4066	12	19	,	,	PUNCT
ejpam-4066	12	20	35	35	NUM
ejpam-4066	12	21	,	,	PUNCT
ejpam-4066	12	22	43	43	NUM
ejpam-4066	12	23	]	]	PUNCT
ejpam-4066	12	24	.	.	PUNCT
ejpam-4066	13	1	in	in	ADP
ejpam-4066	13	2	∗corresponding	∗corresponde	VERB
ejpam-4066	13	3	author	author	NOUN
ejpam-4066	13	4	.	.	PUNCT
ejpam-4066	14	1	doi	doi	NOUN
ejpam-4066	14	2	:	:	PUNCT
ejpam-4066	14	3	https://doi.org/10.29020/nybg.ejpam.v14i4.4066	https://doi.org/10.29020/nybg.ejpam.v14i4.4066	VERB
ejpam-4066	14	4	email	email	NOUN
ejpam-4066	14	5	addresses	address	NOUN
ejpam-4066	14	6	:	:	PUNCT
ejpam-4066	14	7	patarawadee.s@ku.th	patarawadee.s@ku.th	PROPN
ejpam-4066	14	8	(	(	PUNCT
ejpam-4066	14	9	p.	p.	PROPN
ejpam-4066	14	10	prasertsang	prasertsang	PROPN
ejpam-4066	14	11	)	)	PUNCT
ejpam-4066	14	12	,	,	PUNCT
ejpam-4066	14	13	supaknaree.s@ku.th	supaknaree.s@ku.th	PROPN
ejpam-4066	14	14	(	(	PUNCT
ejpam-4066	14	15	s.	s.	PROPN
ejpam-4066	14	16	sattaso	sattaso	PROPN
ejpam-4066	14	17	)	)	PUNCT
ejpam-4066	14	18	,	,	PUNCT
ejpam-4066	14	19	nkamsi@kku.ac.th	nkamsi@kku.ac.th	PROPN
ejpam-4066	14	20	(	(	PUNCT
ejpam-4066	14	21	k.	k.	NOUN
ejpam-4066	14	22	nonlaopon	nonlaopon	ADV
ejpam-4066	14	23	)	)	PUNCT
ejpam-4066	14	24	,	,	PUNCT
ejpam-4066	14	25	cellmath@gmail.com	cellmath@gmail.com	X
ejpam-4066	14	26	(	(	PUNCT
ejpam-4066	14	27	hj	hj	PROPN
ejpam-4066	14	28	.	.	PUNCT
ejpam-4066	14	29	kim	kim	PROPN
ejpam-4066	14	30	)	)	PUNCT
ejpam-4066	14	31	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4066	14	32	1184	1184	NUM
ejpam-4066	15	1	©	©	PROPN
ejpam-4066	15	2	2021	2021	NUM
ejpam-4066	15	3	ejpam	ejpam	VERB
ejpam-4066	15	4	all	all	DET
ejpam-4066	15	5	rights	right	NOUN
ejpam-4066	15	6	reserved	reserve	VERB
ejpam-4066	15	7	.	.	PUNCT
ejpam-4066	16	1	s.	s.	PROPN
ejpam-4066	16	2	sattaso	sattaso	PROPN
ejpam-4066	16	3	et	et	PROPN
ejpam-4066	16	4	al	al	PROPN
ejpam-4066	16	5	.	.	PUNCT
ejpam-4066	16	6	/	/	SYM
ejpam-4066	16	7	eur	eur	PROPN
ejpam-4066	16	8	.	.	PUNCT
ejpam-4066	17	1	j.	j.	PROPN
ejpam-4066	17	2	pure	pure	PROPN
ejpam-4066	17	3	appl	appl	PROPN
ejpam-4066	17	4	.	.	PROPN
ejpam-4066	17	5	math	math	PROPN
ejpam-4066	17	6	,	,	PUNCT
ejpam-4066	17	7	14	14	NUM
ejpam-4066	17	8	(	(	PUNCT
ejpam-4066	17	9	4	4	NUM
ejpam-4066	17	10	)	)	PUNCT
ejpam-4066	17	11	(	(	PUNCT
ejpam-4066	17	12	2021	2021	NUM
ejpam-4066	17	13	)	)	PUNCT
ejpam-4066	17	14	,	,	PUNCT
ejpam-4066	17	15	1184	1184	NUM
ejpam-4066	17	16	-	-	SYM
ejpam-4066	17	17	1199	1199	NUM
ejpam-4066	17	18	1185	1185	NUM
ejpam-4066	17	19	addition	addition	NOUN
ejpam-4066	17	20	,	,	PUNCT
ejpam-4066	17	21	many	many	ADJ
ejpam-4066	17	22	researchers	researcher	NOUN
ejpam-4066	17	23	mainly	mainly	ADV
ejpam-4066	17	24	had	have	AUX
ejpam-4066	17	25	paid	pay	VERB
ejpam-4066	17	26	attention	attention	NOUN
ejpam-4066	17	27	to	to	PART
ejpam-4066	17	28	study	study	VERB
ejpam-4066	17	29	for	for	ADP
ejpam-4066	17	30	theory	theory	NOUN
ejpam-4066	17	31	and	and	CCONJ
ejpam-4066	17	32	applications	application	NOUN
ejpam-4066	17	33	of	of	ADP
ejpam-4066	17	34	laplace	laplace	NOUN
ejpam-4066	17	35	transform	transform	NOUN
ejpam-4066	17	36	,	,	PUNCT
ejpam-4066	17	37	see	see	VERB
ejpam-4066	17	38	[	[	X
ejpam-4066	17	39	9–11	9–11	NOUN
ejpam-4066	17	40	,	,	PUNCT
ejpam-4066	17	41	21	21	NUM
ejpam-4066	17	42	,	,	PUNCT
ejpam-4066	17	43	41	41	NUM
ejpam-4066	17	44	]	]	PUNCT
ejpam-4066	17	45	for	for	ADP
ejpam-4066	17	46	more	more	ADJ
ejpam-4066	17	47	details	detail	NOUN
ejpam-4066	17	48	.	.	PUNCT
ejpam-4066	18	1	the	the	DET
ejpam-4066	18	2	laplace	laplace	NOUN
ejpam-4066	18	3	transform	transform	NOUN
ejpam-4066	18	4	is	be	AUX
ejpam-4066	18	5	a	a	DET
ejpam-4066	18	6	well	well	ADV
ejpam-4066	18	7	-	-	PUNCT
ejpam-4066	18	8	known	know	VERB
ejpam-4066	18	9	fact	fact	NOUN
ejpam-4066	18	10	that	that	SCONJ
ejpam-4066	18	11	it	it	PRON
ejpam-4066	18	12	converts	convert	VERB
ejpam-4066	18	13	a	a	DET
ejpam-4066	18	14	function	function	NOUN
ejpam-4066	18	15	f	f	NOUN
ejpam-4066	18	16	of	of	ADP
ejpam-4066	18	17	a	a	DET
ejpam-4066	18	18	real	real	ADJ
ejpam-4066	18	19	variable	variable	ADJ
ejpam-4066	18	20	t	t	NOUN
ejpam-4066	18	21	to	to	ADP
ejpam-4066	18	22	a	a	DET
ejpam-4066	18	23	function	function	NOUN
ejpam-4066	18	24	f	f	NOUN
ejpam-4066	18	25	of	of	ADP
ejpam-4066	18	26	a	a	DET
ejpam-4066	18	27	complex	complex	ADJ
ejpam-4066	18	28	variable	variable	NOUN
ejpam-4066	18	29	s	s	NOUN
ejpam-4066	18	30	,	,	PUNCT
ejpam-4066	18	31	which	which	PRON
ejpam-4066	18	32	is	be	AUX
ejpam-4066	18	33	defined	define	VERB
ejpam-4066	18	34	by	by	ADP
ejpam-4066	18	35	f	f	PROPN
ejpam-4066	18	36	(	(	PUNCT
ejpam-4066	18	37	s	s	NOUN
ejpam-4066	18	38	)	)	PUNCT
ejpam-4066	18	39	=	=	SYM
ejpam-4066	18	40	l{f(t	l{f(t	NOUN
ejpam-4066	18	41	)	)	PUNCT
ejpam-4066	18	42	}	}	PUNCT
ejpam-4066	19	1	=	=	SYM
ejpam-4066	19	2	∫	∫	PROPN
ejpam-4066	20	1	∞	∞	PROPN
ejpam-4066	20	2	0	0	NUM
ejpam-4066	21	1	e−stf(t)dt	e−stf(t)dt	X
ejpam-4066	21	2	.	.	PUNCT
ejpam-4066	22	1	in	in	ADP
ejpam-4066	22	2	addition	addition	NOUN
ejpam-4066	22	3	,	,	PUNCT
ejpam-4066	22	4	if	if	SCONJ
ejpam-4066	22	5	f(t	f(t	NOUN
ejpam-4066	22	6	)	)	PUNCT
ejpam-4066	22	7	is	be	AUX
ejpam-4066	22	8	a	a	DET
ejpam-4066	22	9	piecewise	piecewise	NOUN
ejpam-4066	22	10	continuous	continuous	ADJ
ejpam-4066	22	11	on	on	ADP
ejpam-4066	22	12	[	[	X
ejpam-4066	22	13	0,∞	0,∞	NOUN
ejpam-4066	22	14	)	)	PUNCT
ejpam-4066	22	15	and	and	CCONJ
ejpam-4066	22	16	has	have	VERB
ejpam-4066	22	17	an	an	DET
ejpam-4066	22	18	exponential	exponential	ADJ
ejpam-4066	22	19	order	order	NOUN
ejpam-4066	22	20	k	k	NOUN
ejpam-4066	22	21	,	,	PUNCT
ejpam-4066	22	22	then	then	ADV
ejpam-4066	22	23	the	the	DET
ejpam-4066	22	24	laplace	laplace	NOUN
ejpam-4066	22	25	transform	transform	VERB
ejpam-4066	22	26	f	f	X
ejpam-4066	22	27	(	(	PUNCT
ejpam-4066	22	28	s	s	NOUN
ejpam-4066	22	29	)	)	PUNCT
ejpam-4066	22	30	=	=	SYM
ejpam-4066	22	31	l{f(t	l{f(t	NOUN
ejpam-4066	22	32	)	)	PUNCT
ejpam-4066	22	33	}	}	PUNCT
ejpam-4066	22	34	exists	exist	VERB
ejpam-4066	22	35	for	for	ADP
ejpam-4066	22	36	s	s	PROPN
ejpam-4066	22	37	>	>	X
ejpam-4066	22	38	k.	k.	PROPN
ejpam-4066	22	39	for	for	ADP
ejpam-4066	22	40	s	s	NOUN
ejpam-4066	22	41	=	=	SYM
ejpam-4066	22	42	1	1	NUM
ejpam-4066	22	43	/	/	SYM
ejpam-4066	22	44	u	u	NOUN
ejpam-4066	22	45	,	,	PUNCT
ejpam-4066	22	46	the	the	DET
ejpam-4066	22	47	laplace	laplace	NOUN
ejpam-4066	22	48	transform	transform	NOUN
ejpam-4066	22	49	l{f(t	l{f(t	NOUN
ejpam-4066	22	50	)	)	PUNCT
ejpam-4066	22	51	}	}	PUNCT
ejpam-4066	22	52	can	can	AUX
ejpam-4066	22	53	be	be	AUX
ejpam-4066	22	54	rewritten	rewrite	VERB
ejpam-4066	22	55	as	as	ADP
ejpam-4066	22	56	l{f(t	l{f(t	NOUN
ejpam-4066	22	57	)	)	PUNCT
ejpam-4066	22	58	}	}	PUNCT
ejpam-4066	23	1	=	=	SYM
ejpam-4066	23	2	∫	∫	PROPN
ejpam-4066	23	3	∞	∞	NUM
ejpam-4066	23	4	0	0	NUM
ejpam-4066	23	5	e−t	e−t	PROPN
ejpam-4066	23	6	/	/	SYM
ejpam-4066	23	7	uf(t)dt	uf(t)dt	NOUN
ejpam-4066	23	8	.	.	PUNCT
ejpam-4066	24	1	in	in	ADP
ejpam-4066	24	2	the	the	DET
ejpam-4066	24	3	last	last	ADJ
ejpam-4066	24	4	two	two	NUM
ejpam-4066	24	5	decades	decade	NOUN
ejpam-4066	24	6	,	,	PUNCT
ejpam-4066	24	7	many	many	ADJ
ejpam-4066	24	8	integral	integral	ADJ
ejpam-4066	24	9	transforms	transform	NOUN
ejpam-4066	24	10	in	in	ADP
ejpam-4066	24	11	the	the	DET
ejpam-4066	24	12	class	class	NOUN
ejpam-4066	24	13	of	of	ADP
ejpam-4066	24	14	laplace	laplace	NOUN
ejpam-4066	24	15	-	-	PUNCT
ejpam-4066	24	16	typed	type	VERB
ejpam-4066	24	17	integral	integral	ADJ
ejpam-4066	24	18	transform	transform	NOUN
ejpam-4066	24	19	are	be	AUX
ejpam-4066	24	20	introduced	introduce	VERB
ejpam-4066	24	21	,	,	PUNCT
ejpam-4066	24	22	such	such	ADJ
ejpam-4066	24	23	as	as	ADP
ejpam-4066	24	24	sumudu	sumudu	NOUN
ejpam-4066	24	25	transform	transform	NOUN
ejpam-4066	24	26	,	,	PUNCT
ejpam-4066	24	27	elzaki	elzaki	NOUN
ejpam-4066	24	28	transform	transform	NOUN
ejpam-4066	24	29	,	,	PUNCT
ejpam-4066	24	30	natural	natural	ADJ
ejpam-4066	24	31	transform	transform	NOUN
ejpam-4066	24	32	,	,	PUNCT
ejpam-4066	24	33	aboodh	aboodh	NOUN
ejpam-4066	24	34	transform	transform	NOUN
ejpam-4066	24	35	,	,	PUNCT
ejpam-4066	24	36	mohand	mohand	NOUN
ejpam-4066	24	37	transform	transform	NOUN
ejpam-4066	24	38	,	,	PUNCT
ejpam-4066	24	39	gα	gα	NOUN
ejpam-4066	24	40	-	-	PUNCT
ejpam-4066	24	41	transform	transform	NOUN
ejpam-4066	24	42	,	,	PUNCT
ejpam-4066	24	43	hy	hy	NOUN
ejpam-4066	24	44	-	-	PUNCT
ejpam-4066	24	45	transform	transform	NOUN
ejpam-4066	24	46	,	,	PUNCT
ejpam-4066	24	47	and	and	CCONJ
ejpam-4066	24	48	kamal	kamal	PROPN
ejpam-4066	24	49	transform	transform	NOUN
ejpam-4066	24	50	.	.	PUNCT
ejpam-4066	25	1	these	these	DET
ejpam-4066	25	2	transforms	transform	NOUN
ejpam-4066	25	3	have	have	AUX
ejpam-4066	25	4	been	be	AUX
ejpam-4066	25	5	used	use	VERB
ejpam-4066	25	6	for	for	ADP
ejpam-4066	25	7	solving	solve	VERB
ejpam-4066	25	8	different	different	ADJ
ejpam-4066	25	9	types	type	NOUN
ejpam-4066	25	10	of	of	ADP
ejpam-4066	25	11	integral	integral	ADJ
ejpam-4066	25	12	equations	equation	NOUN
ejpam-4066	25	13	,	,	PUNCT
ejpam-4066	25	14	ordinary	ordinary	ADJ
ejpam-4066	25	15	differential	differential	ADJ
ejpam-4066	25	16	equations	equation	NOUN
ejpam-4066	25	17	,	,	PUNCT
ejpam-4066	25	18	partial	partial	ADJ
ejpam-4066	25	19	differential	differential	NOUN
ejpam-4066	25	20	equations	equation	NOUN
ejpam-4066	25	21	,	,	PUNCT
ejpam-4066	25	22	and	and	CCONJ
ejpam-4066	25	23	fractional	fractional	ADJ
ejpam-4066	25	24	differential	differential	ADJ
ejpam-4066	25	25	equations	equation	NOUN
ejpam-4066	25	26	,	,	PUNCT
ejpam-4066	25	27	see	see	VERB
ejpam-4066	25	28	[	[	X
ejpam-4066	25	29	1	1	NUM
ejpam-4066	25	30	,	,	PUNCT
ejpam-4066	25	31	3	3	NUM
ejpam-4066	25	32	,	,	PUNCT
ejpam-4066	25	33	15	15	NUM
ejpam-4066	25	34	,	,	PUNCT
ejpam-4066	25	35	22	22	NUM
ejpam-4066	25	36	,	,	PUNCT
ejpam-4066	25	37	37	37	NUM
ejpam-4066	25	38	,	,	PUNCT
ejpam-4066	25	39	42	42	NUM
ejpam-4066	25	40	,	,	PUNCT
ejpam-4066	25	41	45	45	NUM
ejpam-4066	25	42	]	]	PUNCT
ejpam-4066	25	43	for	for	ADP
ejpam-4066	25	44	more	more	ADJ
ejpam-4066	25	45	details	detail	NOUN
ejpam-4066	25	46	.	.	PUNCT
ejpam-4066	26	1	since	since	SCONJ
ejpam-4066	26	2	the	the	DET
ejpam-4066	26	3	laplace	laplace	NOUN
ejpam-4066	26	4	transform	transform	NOUN
ejpam-4066	26	5	is	be	AUX
ejpam-4066	26	6	not	not	PART
ejpam-4066	26	7	suitable	suitable	ADJ
ejpam-4066	26	8	for	for	ADP
ejpam-4066	26	9	solving	solve	VERB
ejpam-4066	26	10	some	some	DET
ejpam-4066	26	11	differential	differential	ADJ
ejpam-4066	26	12	equations	equation	NOUN
ejpam-4066	26	13	,	,	PUNCT
ejpam-4066	26	14	in	in	ADP
ejpam-4066	26	15	1993	1993	NUM
ejpam-4066	26	16	,	,	PUNCT
ejpam-4066	26	17	g.	g.	PROPN
ejpam-4066	26	18	watugala	watugala	VERB
ejpam-4066	26	19	[	[	X
ejpam-4066	26	20	44	44	NUM
ejpam-4066	26	21	]	]	PUNCT
ejpam-4066	26	22	introduced	introduce	VERB
ejpam-4066	26	23	a	a	DET
ejpam-4066	26	24	new	new	ADJ
ejpam-4066	26	25	transform	transform	NOUN
ejpam-4066	26	26	,	,	PUNCT
ejpam-4066	26	27	named	name	VERB
ejpam-4066	26	28	sumudu	sumudu	NOUN
ejpam-4066	26	29	transform	transform	NOUN
ejpam-4066	26	30	,	,	PUNCT
ejpam-4066	26	31	and	and	CCONJ
ejpam-4066	26	32	shown	show	VERB
ejpam-4066	26	33	that	that	SCONJ
ejpam-4066	26	34	sumudu	sumudu	NOUN
ejpam-4066	26	35	transform	transform	NOUN
ejpam-4066	26	36	has	have	VERB
ejpam-4066	26	37	fascinating	fascinating	ADJ
ejpam-4066	26	38	properties	property	NOUN
ejpam-4066	26	39	,	,	PUNCT
ejpam-4066	26	40	making	make	VERB
ejpam-4066	26	41	it	it	PRON
ejpam-4066	26	42	easy	easy	ADJ
ejpam-4066	26	43	to	to	PART
ejpam-4066	26	44	visualize	visualize	VERB
ejpam-4066	26	45	and	and	CCONJ
ejpam-4066	26	46	apply	apply	VERB
ejpam-4066	26	47	it	it	PRON
ejpam-4066	26	48	for	for	ADP
ejpam-4066	26	49	finding	find	VERB
ejpam-4066	26	50	the	the	DET
ejpam-4066	26	51	solution	solution	NOUN
ejpam-4066	26	52	of	of	ADP
ejpam-4066	26	53	ordinary	ordinary	ADJ
ejpam-4066	26	54	differential	differential	ADJ
ejpam-4066	26	55	equations	equation	NOUN
ejpam-4066	26	56	in	in	ADP
ejpam-4066	26	57	control	control	NOUN
ejpam-4066	26	58	engineering	engineering	NOUN
ejpam-4066	26	59	problems	problem	NOUN
ejpam-4066	26	60	.	.	PUNCT
ejpam-4066	27	1	thus	thus	ADV
ejpam-4066	27	2	,	,	PUNCT
ejpam-4066	27	3	the	the	DET
ejpam-4066	27	4	sumudu	sumudu	NOUN
ejpam-4066	27	5	transform	transform	NOUN
ejpam-4066	27	6	is	be	AUX
ejpam-4066	27	7	an	an	DET
ejpam-4066	27	8	ideal	ideal	ADJ
ejpam-4066	27	9	transform	transform	NOUN
ejpam-4066	27	10	for	for	ADP
ejpam-4066	27	11	control	control	NOUN
ejpam-4066	27	12	engineering	engineering	NOUN
ejpam-4066	27	13	and	and	CCONJ
ejpam-4066	27	14	applied	applied	ADJ
ejpam-4066	27	15	mathematics	mathematic	NOUN
ejpam-4066	27	16	.	.	PUNCT
ejpam-4066	28	1	in	in	ADP
ejpam-4066	28	2	2010	2010	NUM
ejpam-4066	28	3	,	,	PUNCT
ejpam-4066	28	4	h.	h.	PROPN
ejpam-4066	28	5	eltayeb	eltayeb	PROPN
ejpam-4066	28	6	and	and	CCONJ
ejpam-4066	28	7	a.	a.	NOUN
ejpam-4066	28	8	kilicman	kilicman	NOUN
ejpam-4066	29	1	[	[	X
ejpam-4066	29	2	14	14	NUM
ejpam-4066	29	3	]	]	PUNCT
ejpam-4066	29	4	introduced	introduce	VERB
ejpam-4066	29	5	some	some	DET
ejpam-4066	29	6	relationships	relationship	NOUN
ejpam-4066	29	7	between	between	ADP
ejpam-4066	29	8	sumudu	sumudu	NOUN
ejpam-4066	29	9	transform	transform	NOUN
ejpam-4066	29	10	and	and	CCONJ
ejpam-4066	29	11	laplace	laplace	NOUN
ejpam-4066	29	12	transform	transform	NOUN
ejpam-4066	29	13	.	.	PUNCT
ejpam-4066	30	1	they	they	PRON
ejpam-4066	30	2	showed	show	VERB
ejpam-4066	30	3	that	that	SCONJ
ejpam-4066	30	4	the	the	DET
ejpam-4066	30	5	solution	solution	NOUN
ejpam-4066	30	6	which	which	PRON
ejpam-4066	30	7	is	be	AUX
ejpam-4066	30	8	given	give	VERB
ejpam-4066	30	9	by	by	ADP
ejpam-4066	30	10	laplace	laplace	NOUN
ejpam-4066	30	11	transform	transform	NOUN
ejpam-4066	30	12	into	into	ADP
ejpam-4066	30	13	a	a	DET
ejpam-4066	30	14	complex	complex	ADJ
ejpam-4066	30	15	domain	domain	NOUN
ejpam-4066	30	16	and	and	CCONJ
ejpam-4066	30	17	given	give	VERB
ejpam-4066	30	18	by	by	ADP
ejpam-4066	30	19	sumudu	sumudu	NOUN
ejpam-4066	30	20	transform	transform	NOUN
ejpam-4066	30	21	into	into	ADP
ejpam-4066	30	22	a	a	DET
ejpam-4066	30	23	real	real	ADJ
ejpam-4066	30	24	domain	domain	NOUN
ejpam-4066	30	25	.	.	PUNCT
ejpam-4066	31	1	thus	thus	ADV
ejpam-4066	31	2	,	,	PUNCT
ejpam-4066	31	3	this	this	PRON
ejpam-4066	31	4	leads	lead	VERB
ejpam-4066	31	5	them	they	PRON
ejpam-4066	31	6	to	to	PART
ejpam-4066	31	7	consider	consider	VERB
ejpam-4066	31	8	that	that	SCONJ
ejpam-4066	31	9	if	if	SCONJ
ejpam-4066	31	10	the	the	DET
ejpam-4066	31	11	solution	solution	NOUN
ejpam-4066	31	12	exists	exist	VERB
ejpam-4066	31	13	by	by	ADP
ejpam-4066	31	14	sumudu	sumudu	NOUN
ejpam-4066	31	15	transform	transform	NOUN
ejpam-4066	31	16	,	,	PUNCT
ejpam-4066	31	17	then	then	ADV
ejpam-4066	31	18	the	the	DET
ejpam-4066	31	19	solution	solution	NOUN
ejpam-4066	31	20	also	also	ADV
ejpam-4066	31	21	exists	exist	VERB
ejpam-4066	31	22	by	by	ADP
ejpam-4066	31	23	laplace	laplace	NOUN
ejpam-4066	31	24	transform	transform	NOUN
ejpam-4066	31	25	.	.	PUNCT
ejpam-4066	32	1	moreover	moreover	ADV
ejpam-4066	32	2	,	,	PUNCT
ejpam-4066	32	3	they	they	PRON
ejpam-4066	32	4	showed	show	VERB
ejpam-4066	32	5	a	a	DET
ejpam-4066	32	6	strong	strong	ADJ
ejpam-4066	32	7	relationship	relationship	NOUN
ejpam-4066	32	8	between	between	ADP
ejpam-4066	32	9	sumudu	sumudu	NOUN
ejpam-4066	32	10	transform	transform	NOUN
ejpam-4066	32	11	and	and	CCONJ
ejpam-4066	32	12	other	other	ADJ
ejpam-4066	32	13	integral	integral	ADJ
ejpam-4066	32	14	transforms	transform	NOUN
ejpam-4066	32	15	,	,	PUNCT
ejpam-4066	32	16	see	see	VERB
ejpam-4066	32	17	a.	a.	NOUN
ejpam-4066	32	18	kilicman	kilicman	PROPN
ejpam-4066	32	19	et	et	PROPN
ejpam-4066	32	20	al.[13	al.[13	NOUN
ejpam-4066	32	21	]	]	PUNCT
ejpam-4066	32	22	.	.	PUNCT
ejpam-4066	33	1	many	many	ADJ
ejpam-4066	33	2	researchers	researcher	NOUN
ejpam-4066	33	3	applied	apply	VERB
ejpam-4066	33	4	sumudu	sumudu	NOUN
ejpam-4066	33	5	transform	transform	NOUN
ejpam-4066	33	6	to	to	PART
ejpam-4066	33	7	solve	solve	VERB
ejpam-4066	33	8	the	the	DET
ejpam-4066	33	9	system	system	NOUN
ejpam-4066	33	10	of	of	ADP
ejpam-4066	33	11	dynamic	dynamic	ADJ
ejpam-4066	33	12	equations	equation	NOUN
ejpam-4066	33	13	,	,	PUNCT
ejpam-4066	33	14	partial	partial	ADJ
ejpam-4066	33	15	differential	differential	ADJ
ejpam-4066	33	16	equations	equation	NOUN
ejpam-4066	33	17	with	with	ADP
ejpam-4066	33	18	variable	variable	ADJ
ejpam-4066	33	19	coefficient	coefficient	NOUN
ejpam-4066	33	20	,	,	PUNCT
ejpam-4066	33	21	a	a	DET
ejpam-4066	33	22	semi	semi	ADJ
ejpam-4066	33	23	-	-	ADJ
ejpam-4066	33	24	infinite	infinite	ADJ
ejpam-4066	33	25	string	string	NOUN
ejpam-4066	33	26	,	,	PUNCT
ejpam-4066	33	27	an	an	DET
ejpam-4066	33	28	integrodifferential	integrodifferential	ADJ
ejpam-4066	33	29	equation	equation	NOUN
ejpam-4066	33	30	,	,	PUNCT
ejpam-4066	33	31	the	the	DET
ejpam-4066	33	32	fractional	fractional	PROPN
ejpam-4066	33	33	neutron	neutron	NOUN
ejpam-4066	33	34	transport	transport	NOUN
ejpam-4066	33	35	equation	equation	NOUN
ejpam-4066	33	36	,	,	PUNCT
ejpam-4066	33	37	see	see	VERB
ejpam-4066	33	38	[	[	X
ejpam-4066	33	39	2	2	NUM
ejpam-4066	33	40	,	,	PUNCT
ejpam-4066	33	41	4–6	4–6	NOUN
ejpam-4066	33	42	,	,	PUNCT
ejpam-4066	33	43	12	12	NUM
ejpam-4066	33	44	,	,	PUNCT
ejpam-4066	33	45	20	20	NUM
ejpam-4066	33	46	,	,	PUNCT
ejpam-4066	33	47	23	23	NUM
ejpam-4066	33	48	–	–	PUNCT
ejpam-4066	33	49	25	25	NUM
ejpam-4066	33	50	,	,	PUNCT
ejpam-4066	33	51	27	27	NUM
ejpam-4066	33	52	,	,	PUNCT
ejpam-4066	33	53	28	28	NUM
ejpam-4066	33	54	]	]	PUNCT
ejpam-4066	33	55	for	for	ADP
ejpam-4066	33	56	more	more	ADJ
ejpam-4066	33	57	details	detail	NOUN
ejpam-4066	33	58	.	.	PUNCT
ejpam-4066	34	1	the	the	DET
ejpam-4066	34	2	sumudu	sumudu	NOUN
ejpam-4066	34	3	transform	transform	VERB
ejpam-4066	34	4	converts	convert	NOUN
ejpam-4066	34	5	a	a	DET
ejpam-4066	34	6	function	function	NOUN
ejpam-4066	34	7	f	f	NOUN
ejpam-4066	34	8	of	of	ADP
ejpam-4066	34	9	a	a	DET
ejpam-4066	34	10	real	real	ADJ
ejpam-4066	34	11	variable	variable	ADJ
ejpam-4066	34	12	t	t	NOUN
ejpam-4066	34	13	to	to	ADP
ejpam-4066	34	14	a	a	DET
ejpam-4066	34	15	function	function	NOUN
ejpam-4066	34	16	of	of	ADP
ejpam-4066	34	17	a	a	DET
ejpam-4066	34	18	complex	complex	ADJ
ejpam-4066	34	19	variable	variable	ADJ
ejpam-4066	34	20	u	u	NOUN
ejpam-4066	34	21	,	,	PUNCT
ejpam-4066	34	22	which	which	PRON
ejpam-4066	34	23	is	be	AUX
ejpam-4066	34	24	defined	define	VERB
ejpam-4066	34	25	by	by	ADP
ejpam-4066	34	26	s{f(t	s{f(t	NOUN
ejpam-4066	34	27	)	)	PUNCT
ejpam-4066	34	28	}	}	PUNCT
ejpam-4066	34	29	=	=	SYM
ejpam-4066	34	30	1	1	NUM
ejpam-4066	34	31	u	u	NOUN
ejpam-4066	34	32	∫	∫	PROPN
ejpam-4066	34	33	∞	∞	NOUN
ejpam-4066	34	34	0	0	NUM
ejpam-4066	34	35	e−t	e−t	PROPN
ejpam-4066	34	36	/	/	SYM
ejpam-4066	34	37	uf(t)dt	uf(t)dt	NOUN
ejpam-4066	34	38	.	.	PUNCT
ejpam-4066	35	1	in	in	ADP
ejpam-4066	35	2	addition	addition	NOUN
ejpam-4066	35	3	,	,	PUNCT
ejpam-4066	35	4	if	if	SCONJ
ejpam-4066	35	5	f(t	f(t	NOUN
ejpam-4066	35	6	)	)	PUNCT
ejpam-4066	35	7	is	be	AUX
ejpam-4066	35	8	a	a	DET
ejpam-4066	35	9	piecewise	piecewise	NOUN
ejpam-4066	35	10	continuous	continuous	ADJ
ejpam-4066	35	11	on	on	ADP
ejpam-4066	35	12	[	[	X
ejpam-4066	35	13	0,∞	0,∞	NOUN
ejpam-4066	35	14	)	)	PUNCT
ejpam-4066	35	15	and	and	CCONJ
ejpam-4066	35	16	has	have	VERB
ejpam-4066	35	17	an	an	DET
ejpam-4066	35	18	exponential	exponential	ADJ
ejpam-4066	35	19	order	order	NOUN
ejpam-4066	35	20	k	k	NOUN
ejpam-4066	35	21	,	,	PUNCT
ejpam-4066	35	22	then	then	ADV
ejpam-4066	35	23	the	the	DET
ejpam-4066	35	24	sumudu	sumudu	NOUN
ejpam-4066	35	25	transform	transform	VERB
ejpam-4066	35	26	s{f(t	s{f(t	NUM
ejpam-4066	35	27	)	)	PUNCT
ejpam-4066	35	28	}	}	PUNCT
ejpam-4066	35	29	exists	exist	VERB
ejpam-4066	35	30	for	for	SCONJ
ejpam-4066	35	31	u	u	NOUN
ejpam-4066	35	32	<	<	X
ejpam-4066	35	33	1	1	NUM
ejpam-4066	35	34	/	/	SYM
ejpam-4066	35	35	k.	k.	PROPN
ejpam-4066	35	36	s.	s.	PROPN
ejpam-4066	35	37	sattaso	sattaso	PROPN
ejpam-4066	35	38	et	et	PROPN
ejpam-4066	35	39	al	al	PROPN
ejpam-4066	35	40	.	.	PUNCT
ejpam-4066	35	41	/	/	SYM
ejpam-4066	35	42	eur	eur	PROPN
ejpam-4066	35	43	.	.	PUNCT
ejpam-4066	36	1	j.	j.	PROPN
ejpam-4066	36	2	pure	pure	PROPN
ejpam-4066	36	3	appl	appl	PROPN
ejpam-4066	36	4	.	.	PROPN
ejpam-4066	36	5	math	math	PROPN
ejpam-4066	36	6	,	,	PUNCT
ejpam-4066	36	7	14	14	NUM
ejpam-4066	36	8	(	(	PUNCT
ejpam-4066	36	9	4	4	NUM
ejpam-4066	36	10	)	)	PUNCT
ejpam-4066	36	11	(	(	PUNCT
ejpam-4066	36	12	2021	2021	NUM
ejpam-4066	36	13	)	)	PUNCT
ejpam-4066	36	14	,	,	PUNCT
ejpam-4066	36	15	1184	1184	NUM
ejpam-4066	36	16	-	-	SYM
ejpam-4066	36	17	1199	1199	NUM
ejpam-4066	36	18	1186	1186	NUM
ejpam-4066	36	19	elzaki	elzaki	NOUN
ejpam-4066	36	20	transform	transform	NOUN
ejpam-4066	36	21	is	be	AUX
ejpam-4066	36	22	the	the	DET
ejpam-4066	36	23	modified	modify	VERB
ejpam-4066	36	24	version	version	NOUN
ejpam-4066	36	25	of	of	ADP
ejpam-4066	36	26	laplace	laplace	NOUN
ejpam-4066	36	27	transform	transform	NOUN
ejpam-4066	36	28	and	and	CCONJ
ejpam-4066	36	29	sumudu	sumudu	NOUN
ejpam-4066	36	30	transform	transform	NOUN
ejpam-4066	36	31	,	,	PUNCT
ejpam-4066	36	32	which	which	PRON
ejpam-4066	36	33	was	be	AUX
ejpam-4066	36	34	first	first	ADV
ejpam-4066	36	35	introduced	introduce	VERB
ejpam-4066	36	36	by	by	ADP
ejpam-4066	36	37	t.m	t.m	PROPN
ejpam-4066	36	38	.	.	PROPN
ejpam-4066	36	39	elzaki	elzaki	PROPN
ejpam-4066	37	1	[	[	X
ejpam-4066	37	2	16	16	NUM
ejpam-4066	37	3	]	]	PUNCT
ejpam-4066	37	4	in	in	ADP
ejpam-4066	37	5	2011	2011	NUM
ejpam-4066	37	6	.	.	PUNCT
ejpam-4066	38	1	elzaki	elzaki	PROPN
ejpam-4066	38	2	transform	transform	NOUN
ejpam-4066	38	3	was	be	AUX
ejpam-4066	38	4	then	then	ADV
ejpam-4066	38	5	presented	present	VERB
ejpam-4066	38	6	when	when	SCONJ
ejpam-4066	38	7	sumudu	sumudu	NOUN
ejpam-4066	38	8	transform	transform	NOUN
ejpam-4066	38	9	failed	fail	VERB
ejpam-4066	38	10	to	to	PART
ejpam-4066	38	11	solve	solve	VERB
ejpam-4066	38	12	some	some	DET
ejpam-4066	38	13	differential	differential	ADJ
ejpam-4066	38	14	equations	equation	NOUN
ejpam-4066	38	15	with	with	ADP
ejpam-4066	38	16	variable	variable	ADJ
ejpam-4066	38	17	coefficients	coefficient	NOUN
ejpam-4066	38	18	[	[	X
ejpam-4066	38	19	19	19	NUM
ejpam-4066	38	20	]	]	PUNCT
ejpam-4066	38	21	.	.	PUNCT
ejpam-4066	39	1	t.m	t.m	PROPN
ejpam-4066	39	2	.	.	PROPN
ejpam-4066	39	3	elzaki	elzaki	PROPN
ejpam-4066	39	4	et	et	PROPN
ejpam-4066	39	5	al	al	PROPN
ejpam-4066	39	6	.	.	PUNCT
ejpam-4066	40	1	[	[	X
ejpam-4066	40	2	17	17	NUM
ejpam-4066	40	3	,	,	PUNCT
ejpam-4066	40	4	18	18	NUM
ejpam-4066	40	5	]	]	PUNCT
ejpam-4066	40	6	showed	show	VERB
ejpam-4066	40	7	that	that	SCONJ
ejpam-4066	40	8	elzaki	elzaki	NOUN
ejpam-4066	40	9	transform	transform	NOUN
ejpam-4066	40	10	provides	provide	VERB
ejpam-4066	40	11	a	a	DET
ejpam-4066	40	12	method	method	NOUN
ejpam-4066	40	13	for	for	ADP
ejpam-4066	40	14	analyzing	analyze	VERB
ejpam-4066	40	15	ordinary	ordinary	ADJ
ejpam-4066	40	16	differential	differential	ADJ
ejpam-4066	40	17	equations	equation	NOUN
ejpam-4066	40	18	such	such	ADJ
ejpam-4066	40	19	as	as	ADP
ejpam-4066	40	20	linear	linear	PROPN
ejpam-4066	40	21	dynamic	dynamic	ADJ
ejpam-4066	40	22	systems	system	NOUN
ejpam-4066	40	23	equation	equation	NOUN
ejpam-4066	40	24	,	,	PUNCT
ejpam-4066	40	25	signals	signal	NOUN
ejpam-4066	40	26	-	-	PUNCT
ejpam-4066	40	27	delay	delay	NOUN
ejpam-4066	40	28	differential	differential	ADJ
ejpam-4066	40	29	equation	equation	NOUN
ejpam-4066	40	30	,	,	PUNCT
ejpam-4066	40	31	and	and	CCONJ
ejpam-4066	40	32	the	the	DET
ejpam-4066	40	33	renewal	renewal	NOUN
ejpam-4066	40	34	equation	equation	NOUN
ejpam-4066	40	35	in	in	ADP
ejpam-4066	40	36	statistics	statistic	NOUN
ejpam-4066	40	37	.	.	PUNCT
ejpam-4066	41	1	the	the	DET
ejpam-4066	41	2	elzaki	elzaki	NOUN
ejpam-4066	41	3	transform	transform	VERB
ejpam-4066	41	4	converts	convert	NOUN
ejpam-4066	41	5	a	a	DET
ejpam-4066	41	6	function	function	NOUN
ejpam-4066	41	7	f	f	NOUN
ejpam-4066	41	8	of	of	ADP
ejpam-4066	41	9	a	a	DET
ejpam-4066	41	10	real	real	ADJ
ejpam-4066	41	11	variable	variable	ADJ
ejpam-4066	41	12	t	t	NOUN
ejpam-4066	41	13	to	to	ADP
ejpam-4066	41	14	a	a	DET
ejpam-4066	41	15	function	function	NOUN
ejpam-4066	41	16	of	of	ADP
ejpam-4066	41	17	a	a	DET
ejpam-4066	41	18	complex	complex	ADJ
ejpam-4066	41	19	variable	variable	ADJ
ejpam-4066	41	20	u	u	NOUN
ejpam-4066	41	21	,	,	PUNCT
ejpam-4066	41	22	which	which	PRON
ejpam-4066	41	23	is	be	AUX
ejpam-4066	41	24	defined	define	VERB
ejpam-4066	41	25	by	by	ADP
ejpam-4066	41	26	e{f(t	e{f(t	NOUN
ejpam-4066	41	27	)	)	PUNCT
ejpam-4066	41	28	}	}	PUNCT
ejpam-4066	41	29	=	=	SYM
ejpam-4066	41	30	u	u	NOUN
ejpam-4066	41	31	∫	∫	PROPN
ejpam-4066	41	32	∞	∞	PROPN
ejpam-4066	41	33	0	0	NUM
ejpam-4066	41	34	e−t	e−t	PROPN
ejpam-4066	41	35	/	/	SYM
ejpam-4066	41	36	uf(t)dt	uf(t)dt	NOUN
ejpam-4066	41	37	.	.	PUNCT
ejpam-4066	42	1	in	in	ADP
ejpam-4066	42	2	particular	particular	ADJ
ejpam-4066	42	3	,	,	PUNCT
ejpam-4066	42	4	if	if	SCONJ
ejpam-4066	42	5	f(t	f(t	NOUN
ejpam-4066	42	6	)	)	PUNCT
ejpam-4066	42	7	is	be	AUX
ejpam-4066	42	8	a	a	DET
ejpam-4066	42	9	piecewise	piecewise	NOUN
ejpam-4066	42	10	continuous	continuous	ADJ
ejpam-4066	42	11	on	on	ADP
ejpam-4066	42	12	t	t	PROPN
ejpam-4066	42	13	≥	≥	NOUN
ejpam-4066	42	14	0	0	NUM
ejpam-4066	42	15	and	and	CCONJ
ejpam-4066	42	16	has	have	VERB
ejpam-4066	42	17	an	an	DET
ejpam-4066	42	18	exponential	exponential	ADJ
ejpam-4066	42	19	order	order	NOUN
ejpam-4066	42	20	k	k	NOUN
ejpam-4066	42	21	,	,	PUNCT
ejpam-4066	42	22	then	then	ADV
ejpam-4066	42	23	the	the	DET
ejpam-4066	42	24	elzaki	elzaki	NOUN
ejpam-4066	42	25	transform	transform	VERB
ejpam-4066	42	26	e{f(t	e{f(t	NOUN
ejpam-4066	42	27	)	)	PUNCT
ejpam-4066	42	28	}	}	PUNCT
ejpam-4066	42	29	exists	exist	VERB
ejpam-4066	42	30	for	for	ADP
ejpam-4066	42	31	u	u	NOUN
ejpam-4066	42	32	<	<	X
ejpam-4066	42	33	1	1	NUM
ejpam-4066	42	34	/	/	SYM
ejpam-4066	42	35	k.	k.	PROPN
ejpam-4066	42	36	recently	recently	ADV
ejpam-4066	42	37	,	,	PUNCT
ejpam-4066	43	1	hj	hj	PROPN
ejpam-4066	43	2	.	.	PUNCT
ejpam-4066	43	3	kim	kim	PROPN
ejpam-4066	44	1	[	[	X
ejpam-4066	44	2	29	29	NUM
ejpam-4066	44	3	]	]	PUNCT
ejpam-4066	44	4	introduced	introduce	VERB
ejpam-4066	44	5	the	the	DET
ejpam-4066	44	6	intrinsic	intrinsic	ADJ
ejpam-4066	44	7	structure	structure	NOUN
ejpam-4066	44	8	and	and	CCONJ
ejpam-4066	44	9	some	some	DET
ejpam-4066	44	10	properties	property	NOUN
ejpam-4066	44	11	of	of	ADP
ejpam-4066	44	12	gαtransform	gαtransform	NOUN
ejpam-4066	44	13	,	,	PUNCT
ejpam-4066	44	14	which	which	PRON
ejpam-4066	44	15	is	be	AUX
ejpam-4066	44	16	defined	define	VERB
ejpam-4066	44	17	by	by	ADP
ejpam-4066	44	18	f	f	PROPN
ejpam-4066	44	19	(	(	PUNCT
ejpam-4066	44	20	u	u	NOUN
ejpam-4066	44	21	)	)	PUNCT
ejpam-4066	44	22	=	=	PUNCT
ejpam-4066	44	23	gα{f(t	gα{f(t	NOUN
ejpam-4066	44	24	)	)	PUNCT
ejpam-4066	44	25	}	}	PUNCT
ejpam-4066	44	26	=	=	PUNCT
ejpam-4066	45	1	uα	uα	PROPN
ejpam-4066	45	2	∫	∫	PROPN
ejpam-4066	45	3	∞	∞	PROPN
ejpam-4066	45	4	0	0	NUM
ejpam-4066	45	5	e−t	e−t	PROPN
ejpam-4066	45	6	/	/	SYM
ejpam-4066	45	7	uf(t)dt	uf(t)dt	NOUN
ejpam-4066	45	8	,	,	PUNCT
ejpam-4066	45	9	where	where	SCONJ
ejpam-4066	45	10	α	α	PROPN
ejpam-4066	45	11	∈	∈	PROPN
ejpam-4066	45	12	z	z	PROPN
ejpam-4066	45	13	and	and	CCONJ
ejpam-4066	45	14	u	u	PROPN
ejpam-4066	45	15	is	be	AUX
ejpam-4066	45	16	a	a	DET
ejpam-4066	45	17	complex	complex	ADJ
ejpam-4066	45	18	variable	variable	NOUN
ejpam-4066	45	19	.	.	PUNCT
ejpam-4066	46	1	the	the	DET
ejpam-4066	46	2	gα	gα	NOUN
ejpam-4066	46	3	-	-	PUNCT
ejpam-4066	46	4	transform	transform	NOUN
ejpam-4066	46	5	can	can	AUX
ejpam-4066	46	6	be	be	AUX
ejpam-4066	46	7	applied	apply	VERB
ejpam-4066	46	8	directly	directly	ADV
ejpam-4066	46	9	to	to	ADP
ejpam-4066	46	10	any	any	DET
ejpam-4066	46	11	situation	situation	NOUN
ejpam-4066	46	12	by	by	ADP
ejpam-4066	46	13	choosing	choose	VERB
ejpam-4066	46	14	α	α	PRON
ejpam-4066	46	15	appropriately	appropriately	ADV
ejpam-4066	46	16	.	.	PUNCT
ejpam-4066	47	1	in	in	ADP
ejpam-4066	47	2	addition	addition	NOUN
ejpam-4066	47	3	,	,	PUNCT
ejpam-4066	47	4	if	if	SCONJ
ejpam-4066	47	5	f(t	f(t	NOUN
ejpam-4066	47	6	)	)	PUNCT
ejpam-4066	47	7	is	be	AUX
ejpam-4066	47	8	a	a	DET
ejpam-4066	47	9	piecewise	piecewise	NOUN
ejpam-4066	47	10	continuous	continuous	ADJ
ejpam-4066	47	11	on	on	ADP
ejpam-4066	47	12	t	t	PROPN
ejpam-4066	47	13	≥	≥	NOUN
ejpam-4066	47	14	0	0	NUM
ejpam-4066	47	15	and	and	CCONJ
ejpam-4066	47	16	has	have	VERB
ejpam-4066	47	17	an	an	DET
ejpam-4066	47	18	exponential	exponential	ADJ
ejpam-4066	47	19	order	order	NOUN
ejpam-4066	47	20	k	k	NOUN
ejpam-4066	47	21	,	,	PUNCT
ejpam-4066	47	22	then	then	ADV
ejpam-4066	47	23	the	the	DET
ejpam-4066	47	24	gα	gα	NOUN
ejpam-4066	47	25	-	-	PUNCT
ejpam-4066	47	26	transform	transform	NOUN
ejpam-4066	47	27	gα{f(t	gα{f(t	NOUN
ejpam-4066	47	28	)	)	PUNCT
ejpam-4066	47	29	}	}	PUNCT
ejpam-4066	47	30	exists	exist	VERB
ejpam-4066	47	31	for	for	ADP
ejpam-4066	47	32	u	u	NOUN
ejpam-4066	47	33	<	<	X
ejpam-4066	47	34	1	1	NUM
ejpam-4066	47	35	/	/	SYM
ejpam-4066	47	36	k.	k.	NOUN
ejpam-4066	47	37	the	the	DET
ejpam-4066	47	38	gα	gα	NOUN
ejpam-4066	47	39	-	-	PUNCT
ejpam-4066	47	40	transform	transform	NOUN
ejpam-4066	47	41	is	be	AUX
ejpam-4066	47	42	a	a	DET
ejpam-4066	47	43	laplace	laplace	NOUN
ejpam-4066	47	44	-	-	PUNCT
ejpam-4066	47	45	type	type	NOUN
ejpam-4066	47	46	integral	integral	ADJ
ejpam-4066	47	47	transform	transform	NOUN
ejpam-4066	47	48	can	can	AUX
ejpam-4066	47	49	be	be	AUX
ejpam-4066	47	50	reduced	reduce	VERB
ejpam-4066	47	51	to	to	ADP
ejpam-4066	47	52	the	the	DET
ejpam-4066	47	53	laplace	laplace	NOUN
ejpam-4066	47	54	transform	transform	NOUN
ejpam-4066	47	55	,	,	PUNCT
ejpam-4066	47	56	sumudu	sumudu	NOUN
ejpam-4066	47	57	transform	transform	NOUN
ejpam-4066	47	58	,	,	PUNCT
ejpam-4066	47	59	and	and	CCONJ
ejpam-4066	47	60	elzaki	elzaki	VERB
ejpam-4066	47	61	transform	transform	VERB
ejpam-4066	47	62	for	for	ADP
ejpam-4066	47	63	α	α	NOUN
ejpam-4066	47	64	=	=	SYM
ejpam-4066	47	65	0,−1	0,−1	PROPN
ejpam-4066	47	66	,	,	PUNCT
ejpam-4066	47	67	1	1	NUM
ejpam-4066	47	68	,	,	PUNCT
ejpam-4066	47	69	respectively	respectively	ADV
ejpam-4066	47	70	.	.	PUNCT
ejpam-4066	48	1	moreover	moreover	ADV
ejpam-4066	48	2	,	,	PUNCT
ejpam-4066	48	3	we	we	PRON
ejpam-4066	48	4	know	know	VERB
ejpam-4066	48	5	that	that	SCONJ
ejpam-4066	48	6	the	the	DET
ejpam-4066	48	7	laplace	laplace	NOUN
ejpam-4066	48	8	transform	transform	NOUN
ejpam-4066	48	9	has	have	VERB
ejpam-4066	48	10	a	a	DET
ejpam-4066	48	11	strong	strong	ADJ
ejpam-4066	48	12	point	point	NOUN
ejpam-4066	48	13	in	in	ADP
ejpam-4066	48	14	the	the	DET
ejpam-4066	48	15	transforms	transform	NOUN
ejpam-4066	48	16	of	of	ADP
ejpam-4066	48	17	derivatives	derivative	NOUN
ejpam-4066	48	18	.	.	PUNCT
ejpam-4066	49	1	if	if	SCONJ
ejpam-4066	49	2	we	we	PRON
ejpam-4066	49	3	set	set	VERB
ejpam-4066	49	4	α	α	NOUN
ejpam-4066	49	5	=	=	SYM
ejpam-4066	49	6	−2	−2	NOUN
ejpam-4066	49	7	,	,	PUNCT
ejpam-4066	49	8	then	then	ADV
ejpam-4066	49	9	we	we	PRON
ejpam-4066	49	10	obtain	obtain	VERB
ejpam-4066	49	11	a	a	DET
ejpam-4066	49	12	simple	simple	ADJ
ejpam-4066	49	13	tool	tool	NOUN
ejpam-4066	49	14	for	for	ADP
ejpam-4066	49	15	transforms	transform	NOUN
ejpam-4066	49	16	of	of	ADP
ejpam-4066	49	17	integral	integral	ADJ
ejpam-4066	49	18	,	,	PUNCT
ejpam-4066	49	19	which	which	PRON
ejpam-4066	49	20	can	can	AUX
ejpam-4066	49	21	be	be	AUX
ejpam-4066	49	22	rewritten	rewrite	VERB
ejpam-4066	49	23	as	as	ADP
ejpam-4066	49	24	g−2{f(t	g−2{f(t	NOUN
ejpam-4066	49	25	)	)	PUNCT
ejpam-4066	49	26	}	}	PUNCT
ejpam-4066	49	27	=	=	SYM
ejpam-4066	49	28	1	1	NUM
ejpam-4066	49	29	u2	u2	PROPN
ejpam-4066	49	30	∫	∫	PROPN
ejpam-4066	49	31	∞	∞	PROPN
ejpam-4066	49	32	0	0	NUM
ejpam-4066	49	33	e−t	e−t	PROPN
ejpam-4066	49	34	/	/	SYM
ejpam-4066	49	35	uf(t)dt	uf(t)dt	NOUN
ejpam-4066	49	36	,	,	PUNCT
ejpam-4066	49	37	see	see	VERB
ejpam-4066	49	38	[	[	X
ejpam-4066	49	39	30	30	NUM
ejpam-4066	49	40	]	]	PUNCT
ejpam-4066	49	41	.	.	PUNCT
ejpam-4066	50	1	further	far	ADV
ejpam-4066	50	2	,	,	PUNCT
ejpam-4066	50	3	hj	hj	PROPN
ejpam-4066	50	4	.	.	PUNCT
ejpam-4066	50	5	kim	kim	PROPN
ejpam-4066	51	1	[	[	X
ejpam-4066	51	2	31	31	NUM
ejpam-4066	51	3	]	]	PUNCT
ejpam-4066	51	4	also	also	ADV
ejpam-4066	51	5	solved	solve	VERB
ejpam-4066	51	6	laguerre	laguerre	NOUN
ejpam-4066	51	7	’s	’s	PART
ejpam-4066	51	8	equation	equation	NOUN
ejpam-4066	51	9	by	by	ADP
ejpam-4066	51	10	the	the	DET
ejpam-4066	51	11	g−2	g−2	PROPN
ejpam-4066	51	12	-	-	PUNCT
ejpam-4066	51	13	transform	transform	NOUN
ejpam-4066	51	14	.	.	PUNCT
ejpam-4066	52	1	in	in	ADP
ejpam-4066	52	2	2019	2019	NUM
ejpam-4066	52	3	,	,	PUNCT
ejpam-4066	52	4	s.	s.	PROPN
ejpam-4066	52	5	sattaso	sattaso	PROPN
ejpam-4066	52	6	et	et	PROPN
ejpam-4066	52	7	al	al	PROPN
ejpam-4066	52	8	.	.	PUNCT
ejpam-4066	53	1	[	[	X
ejpam-4066	53	2	39	39	NUM
ejpam-4066	53	3	]	]	PUNCT
ejpam-4066	53	4	studied	study	VERB
ejpam-4066	53	5	the	the	DET
ejpam-4066	53	6	properties	property	NOUN
ejpam-4066	53	7	of	of	ADP
ejpam-4066	53	8	gα	gα	NOUN
ejpam-4066	53	9	-	-	PUNCT
ejpam-4066	53	10	transform	transform	NOUN
ejpam-4066	53	11	and	and	CCONJ
ejpam-4066	53	12	presented	present	VERB
ejpam-4066	53	13	an	an	DET
ejpam-4066	53	14	example	example	NOUN
ejpam-4066	53	15	that	that	PRON
ejpam-4066	53	16	can	can	AUX
ejpam-4066	53	17	not	not	PART
ejpam-4066	53	18	be	be	AUX
ejpam-4066	53	19	solved	solve	VERB
ejpam-4066	53	20	by	by	ADP
ejpam-4066	53	21	the	the	DET
ejpam-4066	53	22	sumudu	sumudu	NOUN
ejpam-4066	53	23	and	and	CCONJ
ejpam-4066	53	24	elzaki	elzaki	NOUN
ejpam-4066	53	25	transforms	transform	VERB
ejpam-4066	53	26	,	,	PUNCT
ejpam-4066	53	27	but	but	CCONJ
ejpam-4066	53	28	it	it	PRON
ejpam-4066	53	29	can	can	AUX
ejpam-4066	53	30	be	be	AUX
ejpam-4066	53	31	solved	solve	VERB
ejpam-4066	53	32	by	by	ADP
ejpam-4066	53	33	the	the	DET
ejpam-4066	53	34	gα	gα	NOUN
ejpam-4066	53	35	-	-	PUNCT
ejpam-4066	53	36	transform	transform	NOUN
ejpam-4066	53	37	.	.	PUNCT
ejpam-4066	54	1	furthermore	furthermore	ADV
ejpam-4066	54	2	,	,	PUNCT
ejpam-4066	54	3	hj	hj	PROPN
ejpam-4066	54	4	.	.	PUNCT
ejpam-4066	55	1	kim	kim	PROPN
ejpam-4066	55	2	et	et	PROPN
ejpam-4066	55	3	al	al	PROPN
ejpam-4066	55	4	.	.	PUNCT
ejpam-4066	56	1	[	[	X
ejpam-4066	56	2	38	38	NUM
ejpam-4066	56	3	]	]	PUNCT
ejpam-4066	56	4	considered	consider	VERB
ejpam-4066	56	5	an	an	DET
ejpam-4066	56	6	application	application	NOUN
ejpam-4066	56	7	of	of	ADP
ejpam-4066	56	8	gα	gα	NOUN
ejpam-4066	56	9	-	-	PUNCT
ejpam-4066	56	10	transform	transform	NOUN
ejpam-4066	56	11	in	in	ADP
ejpam-4066	56	12	partial	partial	ADJ
ejpam-4066	56	13	differential	differential	ADJ
ejpam-4066	56	14	equations	equation	NOUN
ejpam-4066	56	15	by	by	ADP
ejpam-4066	56	16	using	use	VERB
ejpam-4066	56	17	the	the	DET
ejpam-4066	56	18	n	n	ADV
ejpam-4066	56	19	-	-	PUNCT
ejpam-4066	56	20	th	th	X
ejpam-4066	56	21	partial	partial	ADJ
ejpam-4066	56	22	derivatives	derivative	NOUN
ejpam-4066	56	23	,	,	PUNCT
ejpam-4066	56	24	and	and	CCONJ
ejpam-4066	56	25	hj	hj	PROPN
ejpam-4066	56	26	.	.	PUNCT
ejpam-4066	57	1	kim	kim	PROPN
ejpam-4066	58	1	[	[	X
ejpam-4066	58	2	7	7	NUM
ejpam-4066	58	3	,	,	PUNCT
ejpam-4066	58	4	32	32	NUM
ejpam-4066	58	5	]	]	PUNCT
ejpam-4066	58	6	also	also	ADV
ejpam-4066	58	7	considered	consider	VERB
ejpam-4066	58	8	a	a	DET
ejpam-4066	58	9	proof	proof	NOUN
ejpam-4066	58	10	concerning	concern	VERB
ejpam-4066	58	11	the	the	DET
ejpam-4066	58	12	laplace	laplace	NOUN
ejpam-4066	58	13	transform	transform	NOUN
ejpam-4066	58	14	of	of	ADP
ejpam-4066	58	15	the	the	DET
ejpam-4066	58	16	n	n	ADV
ejpam-4066	58	17	-	-	PUNCT
ejpam-4066	58	18	th	th	X
ejpam-4066	58	19	derivative	derivative	NOUN
ejpam-4066	58	20	of	of	ADP
ejpam-4066	58	21	any	any	DET
ejpam-4066	58	22	order	order	NOUN
ejpam-4066	58	23	by	by	ADP
ejpam-4066	58	24	mathematical	mathematical	ADJ
ejpam-4066	58	25	induction	induction	NOUN
ejpam-4066	58	26	and	and	CCONJ
ejpam-4066	58	27	considered	consider	VERB
ejpam-4066	58	28	a	a	DET
ejpam-4066	58	29	variant	variant	NOUN
ejpam-4066	58	30	of	of	ADP
ejpam-4066	58	31	gα	gα	NOUN
ejpam-4066	58	32	-	-	PUNCT
ejpam-4066	58	33	transform	transform	NOUN
ejpam-4066	58	34	represented	represent	VERB
ejpam-4066	58	35	by	by	ADP
ejpam-4066	58	36	a	a	DET
ejpam-4066	58	37	logarithmic	logarithmic	ADJ
ejpam-4066	58	38	function	function	NOUN
ejpam-4066	58	39	.	.	PUNCT
ejpam-4066	59	1	the	the	DET
ejpam-4066	59	2	connection	connection	NOUN
ejpam-4066	59	3	of	of	ADP
ejpam-4066	59	4	this	this	DET
ejpam-4066	59	5	transform	transform	NOUN
ejpam-4066	59	6	to	to	ADP
ejpam-4066	59	7	the	the	DET
ejpam-4066	59	8	convolutional	convolutional	ADJ
ejpam-4066	59	9	neural	neural	ADJ
ejpam-4066	59	10	network	network	NOUN
ejpam-4066	59	11	can	can	AUX
ejpam-4066	59	12	be	be	AUX
ejpam-4066	59	13	found	find	VERB
ejpam-4066	59	14	in	in	ADP
ejpam-4066	59	15	[	[	X
ejpam-4066	59	16	40	40	NUM
ejpam-4066	59	17	]	]	PUNCT
ejpam-4066	59	18	.	.	PUNCT
ejpam-4066	60	1	in	in	ADP
ejpam-4066	60	2	this	this	DET
ejpam-4066	60	3	paper	paper	NOUN
ejpam-4066	60	4	,	,	PUNCT
ejpam-4066	60	5	we	we	PRON
ejpam-4066	60	6	give	give	VERB
ejpam-4066	60	7	some	some	DET
ejpam-4066	60	8	conditions	condition	NOUN
ejpam-4066	60	9	of	of	ADP
ejpam-4066	60	10	certain	certain	ADJ
ejpam-4066	60	11	ordinary	ordinary	ADJ
ejpam-4066	60	12	differential	differential	ADJ
ejpam-4066	60	13	equations	equation	NOUN
ejpam-4066	60	14	that	that	PRON
ejpam-4066	60	15	can	can	AUX
ejpam-4066	60	16	be	be	AUX
ejpam-4066	60	17	solved	solve	VERB
ejpam-4066	60	18	by	by	ADP
ejpam-4066	60	19	gα	gα	NOUN
ejpam-4066	60	20	-	-	PUNCT
ejpam-4066	60	21	transform	transform	NOUN
ejpam-4066	60	22	.	.	PUNCT
ejpam-4066	61	1	furthermore	furthermore	ADV
ejpam-4066	61	2	,	,	PUNCT
ejpam-4066	61	3	we	we	PRON
ejpam-4066	61	4	include	include	VERB
ejpam-4066	61	5	examples	example	NOUN
ejpam-4066	61	6	to	to	PART
ejpam-4066	61	7	demonstrate	demonstrate	VERB
ejpam-4066	61	8	the	the	DET
ejpam-4066	61	9	effectiveness	effectiveness	NOUN
ejpam-4066	61	10	of	of	ADP
ejpam-4066	61	11	these	these	DET
ejpam-4066	61	12	results	result	NOUN
ejpam-4066	61	13	.	.	PUNCT
ejpam-4066	62	1	s.	s.	PROPN
ejpam-4066	62	2	sattaso	sattaso	PROPN
ejpam-4066	62	3	et	et	PROPN
ejpam-4066	62	4	al	al	PROPN
ejpam-4066	62	5	.	.	PUNCT
ejpam-4066	62	6	/	/	SYM
ejpam-4066	62	7	eur	eur	PROPN
ejpam-4066	62	8	.	.	PUNCT
ejpam-4066	63	1	j.	j.	PROPN
ejpam-4066	63	2	pure	pure	PROPN
ejpam-4066	63	3	appl	appl	PROPN
ejpam-4066	63	4	.	.	PROPN
ejpam-4066	63	5	math	math	PROPN
ejpam-4066	63	6	,	,	PUNCT
ejpam-4066	63	7	14	14	NUM
ejpam-4066	63	8	(	(	PUNCT
ejpam-4066	63	9	4	4	NUM
ejpam-4066	63	10	)	)	PUNCT
ejpam-4066	63	11	(	(	PUNCT
ejpam-4066	63	12	2021	2021	NUM
ejpam-4066	63	13	)	)	PUNCT
ejpam-4066	63	14	,	,	PUNCT
ejpam-4066	63	15	1184	1184	NUM
ejpam-4066	63	16	-	-	SYM
ejpam-4066	63	17	1199	1199	NUM
ejpam-4066	63	18	1187	1187	NUM
ejpam-4066	63	19	2	2	NUM
ejpam-4066	63	20	.	.	PUNCT
ejpam-4066	63	21	preliminaries	preliminary	NOUN
ejpam-4066	63	22	in	in	ADP
ejpam-4066	63	23	this	this	DET
ejpam-4066	63	24	section	section	NOUN
ejpam-4066	64	1	,	,	PUNCT
ejpam-4066	64	2	we	we	PRON
ejpam-4066	64	3	give	give	VERB
ejpam-4066	64	4	some	some	DET
ejpam-4066	64	5	basic	basic	ADJ
ejpam-4066	64	6	properties	property	NOUN
ejpam-4066	64	7	of	of	ADP
ejpam-4066	64	8	the	the	DET
ejpam-4066	64	9	gα	gα	NOUN
ejpam-4066	64	10	-	-	PUNCT
ejpam-4066	64	11	transform	transform	NOUN
ejpam-4066	64	12	,	,	PUNCT
ejpam-4066	64	13	which	which	PRON
ejpam-4066	64	14	would	would	AUX
ejpam-4066	64	15	appear	appear	VERB
ejpam-4066	64	16	in	in	ADP
ejpam-4066	64	17	this	this	DET
ejpam-4066	64	18	study	study	NOUN
ejpam-4066	64	19	quite	quite	ADV
ejpam-4066	64	20	frequently	frequently	ADV
ejpam-4066	64	21	.	.	PUNCT
ejpam-4066	65	1	the	the	DET
ejpam-4066	65	2	proofs	proof	NOUN
ejpam-4066	65	3	of	of	ADP
ejpam-4066	65	4	the	the	DET
ejpam-4066	65	5	following	follow	VERB
ejpam-4066	65	6	properties	property	NOUN
ejpam-4066	65	7	are	be	AUX
ejpam-4066	65	8	given	give	VERB
ejpam-4066	65	9	in	in	ADP
ejpam-4066	65	10	[	[	X
ejpam-4066	65	11	29	29	NUM
ejpam-4066	65	12	,	,	PUNCT
ejpam-4066	65	13	39	39	NUM
ejpam-4066	65	14	]	]	PUNCT
ejpam-4066	65	15	.	.	PUNCT
ejpam-4066	66	1	lemma	lemma	PROPN
ejpam-4066	66	2	1	1	NUM
ejpam-4066	66	3	.	.	PUNCT
ejpam-4066	67	1	[	[	X
ejpam-4066	67	2	29	29	NUM
ejpam-4066	67	3	]	]	SYM
ejpam-4066	67	4	(	(	PUNCT
ejpam-4066	67	5	gα	gα	NOUN
ejpam-4066	67	6	-	-	PUNCT
ejpam-4066	67	7	transform	transform	NOUN
ejpam-4066	67	8	of	of	ADP
ejpam-4066	67	9	derivatives	derivative	NOUN
ejpam-4066	67	10	)	)	PUNCT
ejpam-4066	67	11	if	if	SCONJ
ejpam-4066	67	12	f(t	f(t	NOUN
ejpam-4066	67	13	)	)	PUNCT
ejpam-4066	67	14	,	,	PUNCT
ejpam-4066	67	15	f	f	PROPN
ejpam-4066	67	16	′(t	′(t	PROPN
ejpam-4066	67	17	)	)	PUNCT
ejpam-4066	67	18	,	,	PUNCT
ejpam-4066	67	19	.	.	PUNCT
ejpam-4066	67	20	.	.	PUNCT
ejpam-4066	68	1	.	.	PUNCT
ejpam-4066	69	1	,	,	PUNCT
ejpam-4066	69	2	f	f	PROPN
ejpam-4066	69	3	(	(	PUNCT
ejpam-4066	69	4	m−1)(t	m−1)(t	PROPN
ejpam-4066	69	5	)	)	PUNCT
ejpam-4066	69	6	are	be	AUX
ejpam-4066	69	7	continuous	continuous	ADJ
ejpam-4066	69	8	and	and	CCONJ
ejpam-4066	69	9	f	f	PROPN
ejpam-4066	69	10	(	(	PUNCT
ejpam-4066	69	11	m)(t	m)(t	PROPN
ejpam-4066	69	12	)	)	PUNCT
ejpam-4066	69	13	is	be	AUX
ejpam-4066	69	14	a	a	DET
ejpam-4066	69	15	piecewise	piecewise	NOUN
ejpam-4066	69	16	continuous	continuous	ADJ
ejpam-4066	69	17	function	function	NOUN
ejpam-4066	69	18	on	on	ADP
ejpam-4066	69	19	[	[	X
ejpam-4066	69	20	0,∞	0,∞	NOUN
ejpam-4066	69	21	)	)	PUNCT
ejpam-4066	69	22	for	for	ADP
ejpam-4066	69	23	m	m	PROPN
ejpam-4066	69	24	∈	∈	PROPN
ejpam-4066	69	25	n	n	ADV
ejpam-4066	69	26	∪	∪	X
ejpam-4066	69	27	{	{	PUNCT
ejpam-4066	69	28	0	0	NUM
ejpam-4066	69	29	}	}	PUNCT
ejpam-4066	69	30	and	and	CCONJ
ejpam-4066	69	31	has	have	VERB
ejpam-4066	69	32	an	an	DET
ejpam-4066	69	33	exponential	exponential	ADJ
ejpam-4066	69	34	order	order	NOUN
ejpam-4066	69	35	k	k	PROPN
ejpam-4066	69	36	for	for	ADP
ejpam-4066	69	37	u	u	NOUN
ejpam-4066	69	38	<	<	X
ejpam-4066	69	39	1	1	NUM
ejpam-4066	69	40	/	/	SYM
ejpam-4066	69	41	k	k	NOUN
ejpam-4066	69	42	,	,	PUNCT
ejpam-4066	69	43	then	then	ADV
ejpam-4066	69	44	the	the	DET
ejpam-4066	69	45	following	follow	VERB
ejpam-4066	69	46	properties	property	NOUN
ejpam-4066	69	47	hold	hold	VERB
ejpam-4066	69	48	:	:	PUNCT
ejpam-4066	69	49	(	(	PUNCT
ejpam-4066	69	50	i	i	NOUN
ejpam-4066	69	51	)	)	PUNCT
ejpam-4066	69	52	gα{f	gα{f	PROPN
ejpam-4066	69	53	′(t	′(t	PROPN
ejpam-4066	69	54	)	)	PUNCT
ejpam-4066	69	55	}	}	PUNCT
ejpam-4066	69	56	=	=	SYM
ejpam-4066	69	57	f	f	X
ejpam-4066	69	58	(	(	PUNCT
ejpam-4066	69	59	u	u	NOUN
ejpam-4066	69	60	)	)	PUNCT
ejpam-4066	69	61	u	u	NOUN
ejpam-4066	69	62	−	−	NOUN
ejpam-4066	69	63	uαf(0	uαf(0	NOUN
ejpam-4066	69	64	)	)	PUNCT
ejpam-4066	69	65	;	;	PUNCT
ejpam-4066	69	66	(	(	PUNCT
ejpam-4066	69	67	ii	ii	X
ejpam-4066	69	68	)	)	PUNCT
ejpam-4066	69	69	gα{f	gα{f	PROPN
ejpam-4066	69	70	′′(t	′′(t	PROPN
ejpam-4066	69	71	)	)	PUNCT
ejpam-4066	69	72	}	}	PUNCT
ejpam-4066	70	1	=	=	SYM
ejpam-4066	70	2	f	f	X
ejpam-4066	70	3	(	(	PUNCT
ejpam-4066	70	4	u	u	NOUN
ejpam-4066	70	5	)	)	PUNCT
ejpam-4066	70	6	u2	u2	PROPN
ejpam-4066	70	7	−	−	PROPN
ejpam-4066	70	8	uα−1f(0)−	uα−1f(0)−	NOUN
ejpam-4066	70	9	uαf	uαf	NOUN
ejpam-4066	70	10	′(0	′(0	NOUN
ejpam-4066	70	11	)	)	PUNCT
ejpam-4066	70	12	;	;	PUNCT
ejpam-4066	70	13	(	(	PUNCT
ejpam-4066	70	14	iii	iii	X
ejpam-4066	70	15	)	)	PUNCT
ejpam-4066	70	16	gα{f	gα{f	PROPN
ejpam-4066	70	17	(	(	PUNCT
ejpam-4066	70	18	m)(t	m)(t	PROPN
ejpam-4066	70	19	)	)	PUNCT
ejpam-4066	70	20	}	}	PUNCT
ejpam-4066	70	21	=	=	SYM
ejpam-4066	70	22	f	f	X
ejpam-4066	70	23	(	(	PUNCT
ejpam-4066	70	24	u	u	NOUN
ejpam-4066	70	25	)	)	PUNCT
ejpam-4066	70	26	um	um	INTJ
ejpam-4066	70	27	−	−	PROPN
ejpam-4066	70	28	m−1∑	m−1∑	PRON
ejpam-4066	70	29	k=0	k=0	PUNCT
ejpam-4066	70	30	uα−m+(k+1)f	uα−m+(k+1)f	PROPN
ejpam-4066	70	31	(	(	PUNCT
ejpam-4066	70	32	k)(0	k)(0	NUM
ejpam-4066	70	33	)	)	PUNCT
ejpam-4066	70	34	,	,	PUNCT
ejpam-4066	70	35	where	where	SCONJ
ejpam-4066	70	36	f	f	PROPN
ejpam-4066	70	37	(	(	PUNCT
ejpam-4066	70	38	u	u	NOUN
ejpam-4066	70	39	)	)	PUNCT
ejpam-4066	70	40	=	=	PUNCT
ejpam-4066	70	41	gα{f(t	gα{f(t	NOUN
ejpam-4066	70	42	)	)	PUNCT
ejpam-4066	70	43	}	}	PUNCT
ejpam-4066	70	44	.	.	PUNCT
ejpam-4066	71	1	lemma	lemma	PROPN
ejpam-4066	71	2	2	2	NUM
ejpam-4066	71	3	.	.	PUNCT
ejpam-4066	72	1	[	[	X
ejpam-4066	72	2	39	39	NUM
ejpam-4066	72	3	]	]	PUNCT
ejpam-4066	72	4	(	(	PUNCT
ejpam-4066	72	5	gα	gα	NOUN
ejpam-4066	72	6	-	-	PUNCT
ejpam-4066	72	7	transform	transform	NOUN
ejpam-4066	72	8	of	of	ADP
ejpam-4066	72	9	multiplication	multiplication	NOUN
ejpam-4066	72	10	by	by	ADP
ejpam-4066	72	11	power	power	NOUN
ejpam-4066	72	12	of	of	ADP
ejpam-4066	72	13	t	t	PROPN
ejpam-4066	72	14	)	)	PUNCT
ejpam-4066	72	15	if	if	SCONJ
ejpam-4066	72	16	f(t	f(t	NOUN
ejpam-4066	72	17	)	)	PUNCT
ejpam-4066	72	18	is	be	AUX
ejpam-4066	72	19	a	a	DET
ejpam-4066	72	20	piecewise	piecewise	NOUN
ejpam-4066	72	21	continuous	continuous	ADJ
ejpam-4066	72	22	function	function	NOUN
ejpam-4066	72	23	on	on	ADP
ejpam-4066	72	24	[	[	X
ejpam-4066	72	25	0,∞	0,∞	NOUN
ejpam-4066	72	26	)	)	PUNCT
ejpam-4066	72	27	and	and	CCONJ
ejpam-4066	72	28	has	have	VERB
ejpam-4066	72	29	an	an	DET
ejpam-4066	72	30	exponential	exponential	ADJ
ejpam-4066	72	31	order	order	NOUN
ejpam-4066	72	32	k	k	PROPN
ejpam-4066	72	33	for	for	ADP
ejpam-4066	72	34	u	u	NOUN
ejpam-4066	72	35	<	<	X
ejpam-4066	72	36	1	1	NUM
ejpam-4066	72	37	/	/	SYM
ejpam-4066	72	38	k	k	NOUN
ejpam-4066	72	39	,	,	PUNCT
ejpam-4066	72	40	then	then	ADV
ejpam-4066	72	41	the	the	DET
ejpam-4066	72	42	following	follow	VERB
ejpam-4066	72	43	properties	property	NOUN
ejpam-4066	72	44	hold	hold	VERB
ejpam-4066	72	45	:	:	PUNCT
ejpam-4066	72	46	(	(	PUNCT
ejpam-4066	72	47	i	i	NOUN
ejpam-4066	72	48	)	)	PUNCT
ejpam-4066	72	49	gα{tf(t	gα{tf(t	PROPN
ejpam-4066	72	50	)	)	PUNCT
ejpam-4066	72	51	}	}	PUNCT
ejpam-4066	73	1	=	=	PUNCT
ejpam-4066	73	2	u2f	u2f	PROPN
ejpam-4066	73	3	′(u)−	′(u)−	PROPN
ejpam-4066	73	4	αuf	αuf	X
ejpam-4066	73	5	(	(	PUNCT
ejpam-4066	73	6	u	u	NOUN
ejpam-4066	73	7	)	)	PUNCT
ejpam-4066	73	8	;	;	PUNCT
ejpam-4066	73	9	(	(	PUNCT
ejpam-4066	73	10	ii	ii	NOUN
ejpam-4066	73	11	)	)	PUNCT
ejpam-4066	73	12	gα{t2f(t	gα{t2f(t	PROPN
ejpam-4066	73	13	)	)	PUNCT
ejpam-4066	73	14	}	}	PUNCT
ejpam-4066	73	15	=	=	SYM
ejpam-4066	73	16	u4f	u4f	PUNCT
ejpam-4066	73	17	′′(u)−	′′(u)−	PROPN
ejpam-4066	73	18	2(α−	2(α−	NUM
ejpam-4066	73	19	1)u3f	1)u3f	NUM
ejpam-4066	73	20	′(u	′(u	NOUN
ejpam-4066	73	21	)	)	PUNCT
ejpam-4066	74	1	+	+	CCONJ
ejpam-4066	74	2	(	(	PUNCT
ejpam-4066	74	3	α−	α−	ADP
ejpam-4066	74	4	1)αu2f	1)αu2f	NUM
ejpam-4066	74	5	(	(	PUNCT
ejpam-4066	74	6	u	u	NOUN
ejpam-4066	74	7	)	)	PUNCT
ejpam-4066	74	8	;	;	PUNCT
ejpam-4066	74	9	(	(	PUNCT
ejpam-4066	74	10	iii	iii	X
ejpam-4066	74	11	)	)	PUNCT
ejpam-4066	74	12	gα{tnf(t	gα{tnf(t	NOUN
ejpam-4066	74	13	)	)	PUNCT
ejpam-4066	74	14	}	}	PUNCT
ejpam-4066	74	15	=	=	SYM
ejpam-4066	74	16	u2nf	u2nf	X
ejpam-4066	74	17	(	(	PUNCT
ejpam-4066	74	18	n)(u)−	n)(u)−	NOUN
ejpam-4066	74	19	(	(	PUNCT
ejpam-4066	74	20	n	n	NOUN
ejpam-4066	74	21	1	1	NUM
ejpam-4066	74	22	)	)	PUNCT
ejpam-4066	74	23	(	(	PUNCT
ejpam-4066	74	24	α−	α−	X
ejpam-4066	74	25	(	(	PUNCT
ejpam-4066	74	26	n−	n−	NOUN
ejpam-4066	74	27	1))u2n−1f	1))u2n−1f	NUM
ejpam-4066	74	28	(	(	PUNCT
ejpam-4066	74	29	n−1	n−1	PROPN
ejpam-4066	74	30	)	)	PUNCT
ejpam-4066	74	31	+	+	NUM
ejpam-4066	74	32	·	·	PUNCT
ejpam-4066	74	33	·	·	PUNCT
ejpam-4066	74	34	·	·	PUNCT
ejpam-4066	75	1	−	−	PUNCT
ejpam-4066	75	2	(	(	PUNCT
ejpam-4066	75	3	n	n	NUM
ejpam-4066	75	4	n−	n−	NOUN
ejpam-4066	75	5	1	1	NUM
ejpam-4066	75	6	)	)	PUNCT
ejpam-4066	75	7	(	(	PUNCT
ejpam-4066	75	8	α−	α−	X
ejpam-4066	75	9	(	(	PUNCT
ejpam-4066	75	10	n−	n−	NOUN
ejpam-4066	75	11	1	1	NUM
ejpam-4066	75	12	)	)	PUNCT
ejpam-4066	75	13	)	)	PUNCT
ejpam-4066	75	14	(	(	PUNCT
ejpam-4066	75	15	α−	α−	X
ejpam-4066	75	16	(	(	PUNCT
ejpam-4066	75	17	n−	n−	NOUN
ejpam-4066	75	18	2	2	NUM
ejpam-4066	75	19	)	)	PUNCT
ejpam-4066	75	20	)	)	PUNCT
ejpam-4066	75	21	·	·	PUNCT
ejpam-4066	75	22	·	·	PUNCT
ejpam-4066	75	23	·	·	PUNCT
ejpam-4066	75	24	(	(	PUNCT
ejpam-4066	75	25	α−	α−	ADP
ejpam-4066	75	26	1)un+1f	1)un+1f	NUM
ejpam-4066	75	27	′(u	′(u	NOUN
ejpam-4066	75	28	)	)	PUNCT
ejpam-4066	75	29	+	+	CCONJ
ejpam-4066	75	30	(	(	PUNCT
ejpam-4066	75	31	α−	α−	X
ejpam-4066	75	32	(	(	PUNCT
ejpam-4066	75	33	n−	n−	NOUN
ejpam-4066	75	34	1	1	NUM
ejpam-4066	75	35	)	)	PUNCT
ejpam-4066	75	36	)	)	PUNCT
ejpam-4066	75	37	(	(	PUNCT
ejpam-4066	75	38	α−	α−	X
ejpam-4066	75	39	(	(	PUNCT
ejpam-4066	75	40	n−	n−	NOUN
ejpam-4066	75	41	2	2	NUM
ejpam-4066	75	42	)	)	PUNCT
ejpam-4066	75	43	)	)	PUNCT
ejpam-4066	75	44	·	·	PUNCT
ejpam-4066	75	45	·	·	PUNCT
ejpam-4066	75	46	·	·	PUNCT
ejpam-4066	75	47	αunf	αunf	ADJ
ejpam-4066	75	48	(	(	PUNCT
ejpam-4066	75	49	u	u	NOUN
ejpam-4066	75	50	)	)	PUNCT
ejpam-4066	75	51	,	,	PUNCT
ejpam-4066	75	52	where	where	SCONJ
ejpam-4066	75	53	f	f	PROPN
ejpam-4066	75	54	(	(	PUNCT
ejpam-4066	75	55	u	u	NOUN
ejpam-4066	75	56	)	)	PUNCT
ejpam-4066	75	57	=	=	PUNCT
ejpam-4066	75	58	gα{f(t	gα{f(t	NOUN
ejpam-4066	75	59	)	)	PUNCT
ejpam-4066	75	60	}	}	PUNCT
ejpam-4066	75	61	.	.	PUNCT
ejpam-4066	76	1	lemma	lemma	PROPN
ejpam-4066	76	2	3	3	X
ejpam-4066	76	3	.	.	PUNCT
ejpam-4066	77	1	[	[	X
ejpam-4066	77	2	39	39	NUM
ejpam-4066	77	3	]	]	PUNCT
ejpam-4066	77	4	if	if	SCONJ
ejpam-4066	77	5	f	f	PROPN
ejpam-4066	77	6	(	(	PUNCT
ejpam-4066	77	7	m)(t	m)(t	PROPN
ejpam-4066	77	8	)	)	PUNCT
ejpam-4066	77	9	is	be	AUX
ejpam-4066	77	10	a	a	DET
ejpam-4066	77	11	piecewise	piecewise	NOUN
ejpam-4066	77	12	continuous	continuous	ADJ
ejpam-4066	77	13	function	function	NOUN
ejpam-4066	77	14	on	on	ADP
ejpam-4066	77	15	[	[	X
ejpam-4066	77	16	0,∞	0,∞	NOUN
ejpam-4066	77	17	)	)	PUNCT
ejpam-4066	77	18	for	for	ADP
ejpam-4066	77	19	m	m	PROPN
ejpam-4066	77	20	∈	∈	PROPN
ejpam-4066	77	21	n	n	ADV
ejpam-4066	77	22	∪	∪	X
ejpam-4066	77	23	{	{	PUNCT
ejpam-4066	77	24	0	0	NUM
ejpam-4066	77	25	}	}	PUNCT
ejpam-4066	77	26	and	and	CCONJ
ejpam-4066	77	27	has	have	VERB
ejpam-4066	77	28	an	an	DET
ejpam-4066	77	29	exponential	exponential	ADJ
ejpam-4066	77	30	order	order	NOUN
ejpam-4066	77	31	k	k	PROPN
ejpam-4066	77	32	for	for	ADP
ejpam-4066	77	33	u	u	NOUN
ejpam-4066	77	34	<	<	X
ejpam-4066	77	35	1	1	NUM
ejpam-4066	77	36	/	/	SYM
ejpam-4066	77	37	k	k	NOUN
ejpam-4066	77	38	,	,	PUNCT
ejpam-4066	77	39	then	then	ADV
ejpam-4066	77	40	gα{tnf	gα{tnf	PROPN
ejpam-4066	77	41	(	(	PUNCT
ejpam-4066	77	42	m)(t	m)(t	PROPN
ejpam-4066	77	43	)	)	PUNCT
ejpam-4066	77	44	}	}	PUNCT
ejpam-4066	77	45	=	=	SYM
ejpam-4066	77	46	u2n	u2n	PROPN
ejpam-4066	77	47	dngα{f	dngα{f	ADV
ejpam-4066	77	48	(	(	PUNCT
ejpam-4066	77	49	m)(t	m)(t	ADJ
ejpam-4066	77	50	)	)	PUNCT
ejpam-4066	77	51	}	}	PUNCT
ejpam-4066	77	52	dun	dun	PROPN
ejpam-4066	78	1	−	−	PROPN
ejpam-4066	78	2	(	(	PUNCT
ejpam-4066	78	3	n	n	NOUN
ejpam-4066	78	4	1	1	NUM
ejpam-4066	78	5	)	)	PUNCT
ejpam-4066	79	1	[	[	X
ejpam-4066	79	2	α−	α−	X
ejpam-4066	79	3	(	(	PUNCT
ejpam-4066	79	4	n−	n−	NOUN
ejpam-4066	79	5	1)]u2n−1d	1)]u2n−1d	NUM
ejpam-4066	79	6	n−1gα{f	n−1gα{f	NOUN
ejpam-4066	79	7	(	(	PUNCT
ejpam-4066	79	8	m)(t	m)(t	PROPN
ejpam-4066	79	9	)	)	PUNCT
ejpam-4066	79	10	}	}	PUNCT
ejpam-4066	79	11	dun−1	dun−1	PROPN
ejpam-4066	79	12	+	+	CCONJ
ejpam-4066	79	13	·	·	PUNCT
ejpam-4066	79	14	·	·	PUNCT
ejpam-4066	79	15	·	·	PUNCT
ejpam-4066	80	1	−	−	PUNCT
ejpam-4066	80	2	(	(	PUNCT
ejpam-4066	80	3	n	n	NUM
ejpam-4066	80	4	n−	n−	NOUN
ejpam-4066	80	5	1	1	NUM
ejpam-4066	80	6	)	)	PUNCT
ejpam-4066	81	1	[	[	X
ejpam-4066	81	2	α−	α−	X
ejpam-4066	81	3	(	(	PUNCT
ejpam-4066	81	4	n−	n−	NOUN
ejpam-4066	81	5	1	1	NUM
ejpam-4066	81	6	)	)	PUNCT
ejpam-4066	81	7	]	]	PUNCT
ejpam-4066	82	1	[	[	X
ejpam-4066	82	2	α−	α−	X
ejpam-4066	82	3	(	(	PUNCT
ejpam-4066	82	4	n−	n−	NOUN
ejpam-4066	82	5	2	2	NUM
ejpam-4066	82	6	)	)	PUNCT
ejpam-4066	82	7	]	]	PUNCT
ejpam-4066	82	8	·	·	PUNCT
ejpam-4066	82	9	·	·	PUNCT
ejpam-4066	82	10	·	·	PUNCT
ejpam-4066	82	11	(	(	PUNCT
ejpam-4066	82	12	α−	α−	ADP
ejpam-4066	82	13	1)un+1dgα{f	1)un+1dgα{f	NUM
ejpam-4066	82	14	(	(	PUNCT
ejpam-4066	82	15	m)(t	m)(t	PROPN
ejpam-4066	82	16	)	)	PUNCT
ejpam-4066	82	17	}	}	PUNCT
ejpam-4066	82	18	du	du	NOUN
ejpam-4066	83	1	+	+	CCONJ
ejpam-4066	83	2	[	[	X
ejpam-4066	83	3	α−	α−	ADP
ejpam-4066	83	4	(	(	PUNCT
ejpam-4066	83	5	n−	n−	NOUN
ejpam-4066	83	6	1	1	NUM
ejpam-4066	83	7	)	)	PUNCT
ejpam-4066	83	8	]	]	PUNCT
ejpam-4066	84	1	[	[	X
ejpam-4066	84	2	α−	α−	X
ejpam-4066	84	3	(	(	PUNCT
ejpam-4066	84	4	n−	n−	NOUN
ejpam-4066	84	5	2	2	NUM
ejpam-4066	84	6	)	)	PUNCT
ejpam-4066	84	7	]	]	PUNCT
ejpam-4066	84	8	·	·	PUNCT
ejpam-4066	84	9	·	·	PUNCT
ejpam-4066	84	10	·	·	PUNCT
ejpam-4066	84	11	αungα{f	αungα{f	NOUN
ejpam-4066	84	12	(	(	PUNCT
ejpam-4066	84	13	m)(t	m)(t	PROPN
ejpam-4066	84	14	)	)	PUNCT
ejpam-4066	84	15	}	}	PUNCT
ejpam-4066	84	16	.	.	PUNCT
ejpam-4066	85	1	(	(	PUNCT
ejpam-4066	85	2	1	1	X
ejpam-4066	85	3	)	)	PUNCT
ejpam-4066	85	4	lemma	lemma	PROPN
ejpam-4066	85	5	4	4	NUM
ejpam-4066	85	6	.	.	PUNCT
ejpam-4066	86	1	[	[	X
ejpam-4066	86	2	29	29	NUM
ejpam-4066	86	3	]	]	X
ejpam-4066	86	4	if	if	SCONJ
ejpam-4066	86	5	f(t	f(t	NOUN
ejpam-4066	86	6	)	)	PUNCT
ejpam-4066	86	7	=	=	SYM
ejpam-4066	86	8	tn	tn	PROPN
ejpam-4066	86	9	for	for	ADP
ejpam-4066	86	10	n	n	PRON
ejpam-4066	86	11	∈	∈	PROPN
ejpam-4066	86	12	n	n	NOUN
ejpam-4066	86	13	∪	∪	X
ejpam-4066	86	14	{	{	PUNCT
ejpam-4066	86	15	0	0	NUM
ejpam-4066	86	16	}	}	PUNCT
ejpam-4066	86	17	,	,	PUNCT
ejpam-4066	86	18	then	then	ADV
ejpam-4066	86	19	gα{tn	gα{tn	PROPN
ejpam-4066	86	20	}	}	PUNCT
ejpam-4066	86	21	=	=	SYM
ejpam-4066	86	22	n!un+α+1	n!un+α+1	PROPN
ejpam-4066	86	23	.	.	PUNCT
ejpam-4066	87	1	s.	s.	PROPN
ejpam-4066	87	2	sattaso	sattaso	PROPN
ejpam-4066	87	3	et	et	PROPN
ejpam-4066	87	4	al	al	PROPN
ejpam-4066	87	5	.	.	PUNCT
ejpam-4066	87	6	/	/	SYM
ejpam-4066	87	7	eur	eur	PROPN
ejpam-4066	87	8	.	.	PUNCT
ejpam-4066	88	1	j.	j.	PROPN
ejpam-4066	88	2	pure	pure	PROPN
ejpam-4066	88	3	appl	appl	PROPN
ejpam-4066	88	4	.	.	PROPN
ejpam-4066	88	5	math	math	PROPN
ejpam-4066	88	6	,	,	PUNCT
ejpam-4066	88	7	14	14	NUM
ejpam-4066	88	8	(	(	PUNCT
ejpam-4066	88	9	4	4	NUM
ejpam-4066	88	10	)	)	PUNCT
ejpam-4066	88	11	(	(	PUNCT
ejpam-4066	88	12	2021	2021	NUM
ejpam-4066	88	13	)	)	PUNCT
ejpam-4066	88	14	,	,	PUNCT
ejpam-4066	88	15	1184	1184	NUM
ejpam-4066	88	16	-	-	SYM
ejpam-4066	88	17	1199	1199	NUM
ejpam-4066	88	18	1188	1188	NUM
ejpam-4066	88	19	remark	remark	NOUN
ejpam-4066	88	20	1	1	NUM
ejpam-4066	88	21	.	.	PUNCT
ejpam-4066	89	1	by	by	ADP
ejpam-4066	89	2	using	use	VERB
ejpam-4066	89	3	lemma	lemma	PROPN
ejpam-4066	89	4	3	3	NUM
ejpam-4066	89	5	,	,	PUNCT
ejpam-4066	89	6	substituting	substitute	VERB
ejpam-4066	89	7	n	n	NOUN
ejpam-4066	89	8	=	=	SYM
ejpam-4066	89	9	1	1	NUM
ejpam-4066	89	10	,	,	PUNCT
ejpam-4066	89	11	2	2	NUM
ejpam-4066	89	12	,	,	PUNCT
ejpam-4066	89	13	and	and	CCONJ
ejpam-4066	89	14	3	3	NUM
ejpam-4066	89	15	in	in	ADP
ejpam-4066	89	16	(	(	PUNCT
ejpam-4066	89	17	1	1	NUM
ejpam-4066	89	18	)	)	PUNCT
ejpam-4066	89	19	and	and	CCONJ
ejpam-4066	89	20	derivatives	derivative	NOUN
ejpam-4066	89	21	,	,	PUNCT
ejpam-4066	89	22	after	after	ADP
ejpam-4066	89	23	some	some	DET
ejpam-4066	89	24	simplification	simplification	NOUN
ejpam-4066	89	25	,	,	PUNCT
ejpam-4066	89	26	we	we	PRON
ejpam-4066	89	27	obtain	obtain	VERB
ejpam-4066	89	28	(	(	PUNCT
ejpam-4066	89	29	i	i	NOUN
ejpam-4066	89	30	)	)	PUNCT
ejpam-4066	89	31	gα{tf	gα{tf	PROPN
ejpam-4066	89	32	(	(	PUNCT
ejpam-4066	89	33	m)(t	m)(t	PROPN
ejpam-4066	89	34	)	)	PUNCT
ejpam-4066	89	35	}	}	PUNCT
ejpam-4066	89	36	=	=	SYM
ejpam-4066	89	37	f	f	X
ejpam-4066	89	38	′(u	′(u	NOUN
ejpam-4066	89	39	)	)	PUNCT
ejpam-4066	90	1	um−2	um−2	INTJ
ejpam-4066	90	2	−	−	PROPN
ejpam-4066	90	3	(	(	PUNCT
ejpam-4066	90	4	m+	m+	NUM
ejpam-4066	90	5	α	α	NOUN
ejpam-4066	90	6	)	)	PUNCT
ejpam-4066	90	7	f	f	PROPN
ejpam-4066	90	8	(	(	PUNCT
ejpam-4066	90	9	u	u	NOUN
ejpam-4066	90	10	)	)	PUNCT
ejpam-4066	90	11	um−1	um−1	NOUN
ejpam-4066	90	12	−	−	PROPN
ejpam-4066	90	13	m−1∑	m−1∑	PROPN
ejpam-4066	90	14	k=0	k=0	PROPN
ejpam-4066	90	15	(	(	PUNCT
ejpam-4066	90	16	1	1	NUM
ejpam-4066	90	17	+	+	CCONJ
ejpam-4066	90	18	k	k	PROPN
ejpam-4066	90	19	−m)u2+k+α−mf	−m)u2+k+α−mf	PROPN
ejpam-4066	90	20	(	(	PUNCT
ejpam-4066	90	21	k)(0	k)(0	NUM
ejpam-4066	90	22	)	)	PUNCT
ejpam-4066	90	23	;	;	PUNCT
ejpam-4066	90	24	(	(	PUNCT
ejpam-4066	90	25	ii	ii	X
ejpam-4066	90	26	)	)	PUNCT
ejpam-4066	90	27	gα{t2f	gα{t2f	PROPN
ejpam-4066	90	28	(	(	PUNCT
ejpam-4066	90	29	m)(t	m)(t	PROPN
ejpam-4066	90	30	)	)	PUNCT
ejpam-4066	90	31	}	}	PUNCT
ejpam-4066	90	32	=	=	SYM
ejpam-4066	90	33	f	f	X
ejpam-4066	90	34	′′(u	′′(u	PROPN
ejpam-4066	90	35	)	)	PUNCT
ejpam-4066	90	36	um−4	um−4	PROPN
ejpam-4066	90	37	−	−	PROPN
ejpam-4066	90	38	2(m+α−	2(m+α−	NUM
ejpam-4066	90	39	1	1	NUM
ejpam-4066	90	40	)	)	PUNCT
ejpam-4066	90	41	f	f	NOUN
ejpam-4066	90	42	′(u	′(u	NOUN
ejpam-4066	90	43	)	)	PUNCT
ejpam-4066	90	44	um−3	um−3	PROPN
ejpam-4066	91	1	+	+	CCONJ
ejpam-4066	91	2	[	[	X
ejpam-4066	91	3	m(m+	m(m+	NUM
ejpam-4066	91	4	1	1	NUM
ejpam-4066	91	5	)	)	PUNCT
ejpam-4066	92	1	+	+	CCONJ
ejpam-4066	93	1	2(α−	2(α−	NUM
ejpam-4066	93	2	1)m+	1)m+	NUM
ejpam-4066	93	3	(	(	PUNCT
ejpam-4066	93	4	α−	α−	ADP
ejpam-4066	93	5	1)α	1)α	NUM
ejpam-4066	93	6	]	]	X
ejpam-4066	93	7	×f	×f	PROPN
ejpam-4066	93	8	(	(	PUNCT
ejpam-4066	93	9	u	u	NOUN
ejpam-4066	93	10	)	)	PUNCT
ejpam-4066	93	11	um−2	um−2	ADV
ejpam-4066	93	12	−	−	PROPN
ejpam-4066	93	13	m−1∑	m−1∑	PRON
ejpam-4066	93	14	k=0	k=0	PROPN
ejpam-4066	94	1	[	[	X
ejpam-4066	94	2	(	(	PUNCT
ejpam-4066	94	3	α−m+	α−m+	PROPN
ejpam-4066	94	4	k	k	NOUN
ejpam-4066	94	5	+	+	CCONJ
ejpam-4066	94	6	1)(α−m+	1)(α−m+	NUM
ejpam-4066	94	7	k)−	k)−	PROPN
ejpam-4066	94	8	2(α−	2(α−	NUM
ejpam-4066	94	9	1)(α−m+	1)(α−m+	NUM
ejpam-4066	94	10	k	k	X
ejpam-4066	94	11	+	+	PROPN
ejpam-4066	94	12	1	1	X
ejpam-4066	94	13	)	)	PUNCT
ejpam-4066	94	14	+	+	PROPN
ejpam-4066	94	15	(	(	PUNCT
ejpam-4066	94	16	α−	α−	ADP
ejpam-4066	94	17	1)α]u3+k+α−mf	1)α]u3+k+α−mf	NUM
ejpam-4066	94	18	(	(	PUNCT
ejpam-4066	94	19	k)(0	k)(0	NUM
ejpam-4066	94	20	)	)	PUNCT
ejpam-4066	94	21	;	;	PUNCT
ejpam-4066	94	22	(	(	PUNCT
ejpam-4066	94	23	iii	iii	X
ejpam-4066	94	24	)	)	PUNCT
ejpam-4066	94	25	gα{t3f	gα{t3f	NOUN
ejpam-4066	94	26	(	(	PUNCT
ejpam-4066	94	27	m)(t	m)(t	PROPN
ejpam-4066	94	28	)	)	PUNCT
ejpam-4066	94	29	}	}	PUNCT
ejpam-4066	94	30	=	=	SYM
ejpam-4066	94	31	f	f	X
ejpam-4066	94	32	′′′(u	′′′(u	PROPN
ejpam-4066	94	33	)	)	PUNCT
ejpam-4066	94	34	um−6	um−6	PROPN
ejpam-4066	94	35	−	−	NOUN
ejpam-4066	94	36	3(m+	3(m+	NUM
ejpam-4066	94	37	α−	α−	ADP
ejpam-4066	94	38	2	2	NUM
ejpam-4066	94	39	)	)	PUNCT
ejpam-4066	94	40	f	f	PROPN
ejpam-4066	94	41	′′(u	′′(u	PROPN
ejpam-4066	94	42	)	)	PUNCT
ejpam-4066	94	43	um−5	um−5	PROPN
ejpam-4066	94	44	+	+	CCONJ
ejpam-4066	95	1	[	[	X
ejpam-4066	95	2	3m(m+	3m(m+	NUM
ejpam-4066	95	3	1	1	NUM
ejpam-4066	95	4	)	)	PUNCT
ejpam-4066	95	5	+	+	CCONJ
ejpam-4066	95	6	6(α−	6(α−	NUM
ejpam-4066	95	7	2)m	2)m	NOUN
ejpam-4066	95	8	+3(α−	+3(α−	NOUN
ejpam-4066	95	9	2)(α−	2)(α−	NUM
ejpam-4066	95	10	1	1	NUM
ejpam-4066	95	11	)	)	PUNCT
ejpam-4066	95	12	]	]	PUNCT
ejpam-4066	96	1	f	f	X
ejpam-4066	96	2	′(u	′(u	NOUN
ejpam-4066	96	3	)	)	PUNCT
ejpam-4066	97	1	um−4	um−4	PROPN
ejpam-4066	97	2	−	−	PROPN
ejpam-4066	98	1	[	[	X
ejpam-4066	98	2	m(m+	m(m+	VERB
ejpam-4066	98	3	1)(m+	1)(m+	NUM
ejpam-4066	98	4	2	2	NUM
ejpam-4066	98	5	)	)	PUNCT
ejpam-4066	98	6	+	+	CCONJ
ejpam-4066	98	7	3(α−	3(α−	NUM
ejpam-4066	98	8	2)m(m+	2)m(m+	NUM
ejpam-4066	98	9	1	1	NUM
ejpam-4066	98	10	)	)	PUNCT
ejpam-4066	98	11	+3(α−	+3(α−	NOUN
ejpam-4066	98	12	2)(α−	2)(α−	NUM
ejpam-4066	98	13	1)m+	1)m+	NUM
ejpam-4066	98	14	(	(	PUNCT
ejpam-4066	98	15	α−	α−	ADP
ejpam-4066	98	16	2)(α−	2)(α−	NUM
ejpam-4066	98	17	1)α	1)α	NUM
ejpam-4066	98	18	]	]	X
ejpam-4066	98	19	f	f	X
ejpam-4066	98	20	(	(	PUNCT
ejpam-4066	98	21	u	u	NOUN
ejpam-4066	98	22	)	)	PUNCT
ejpam-4066	98	23	um−3	um−3	NOUN
ejpam-4066	98	24	−	−	NOUN
ejpam-4066	98	25	m−1∑	m−1∑	PROPN
ejpam-4066	98	26	k=0	k=0	PUNCT
ejpam-4066	98	27	[	[	X
ejpam-4066	98	28	(	(	PUNCT
ejpam-4066	98	29	α−m+	α−m+	PROPN
ejpam-4066	98	30	k	k	NOUN
ejpam-4066	98	31	+	+	CCONJ
ejpam-4066	98	32	1)(α−m+	1)(α−m+	NUM
ejpam-4066	98	33	k)(α−m+	k)(α−m+	NOUN
ejpam-4066	98	34	k	k	PROPN
ejpam-4066	98	35	−	−	PROPN
ejpam-4066	98	36	1	1	NUM
ejpam-4066	98	37	)	)	PUNCT
ejpam-4066	98	38	−3(α−2)(α−m+k+1)(α−m+k)+3(α−2)(α−1)(α−m+k+1	−3(α−2)(α−m+k+1)(α−m+k)+3(α−2)(α−1)(α−m+k+1	NOUN
ejpam-4066	98	39	)	)	PUNCT
ejpam-4066	98	40	−(α−	−(α−	NOUN
ejpam-4066	98	41	2)(α−	2)(α−	NUM
ejpam-4066	98	42	1)α]u4+k+α−mf	1)α]u4+k+α−mf	NUM
ejpam-4066	98	43	(	(	PUNCT
ejpam-4066	98	44	k)(0	k)(0	NUM
ejpam-4066	98	45	)	)	PUNCT
ejpam-4066	98	46	,	,	PUNCT
ejpam-4066	98	47	where	where	SCONJ
ejpam-4066	98	48	f	f	PROPN
ejpam-4066	98	49	(	(	PUNCT
ejpam-4066	98	50	u	u	NOUN
ejpam-4066	98	51	)	)	PUNCT
ejpam-4066	98	52	=	=	PUNCT
ejpam-4066	98	53	gα{f(t	gα{f(t	NOUN
ejpam-4066	98	54	)	)	PUNCT
ejpam-4066	98	55	}	}	PUNCT
ejpam-4066	98	56	.	.	PUNCT
ejpam-4066	99	1	3	3	X
ejpam-4066	99	2	.	.	X
ejpam-4066	99	3	main	main	ADJ
ejpam-4066	99	4	results	result	NOUN
ejpam-4066	99	5	in	in	ADP
ejpam-4066	99	6	this	this	DET
ejpam-4066	99	7	section	section	NOUN
ejpam-4066	99	8	,	,	PUNCT
ejpam-4066	99	9	we	we	PRON
ejpam-4066	99	10	show	show	VERB
ejpam-4066	99	11	some	some	DET
ejpam-4066	99	12	conditions	condition	NOUN
ejpam-4066	99	13	of	of	ADP
ejpam-4066	99	14	certain	certain	ADJ
ejpam-4066	99	15	ordinary	ordinary	ADJ
ejpam-4066	99	16	differential	differential	ADJ
ejpam-4066	99	17	equations	equation	NOUN
ejpam-4066	99	18	to	to	PART
ejpam-4066	99	19	ensure	ensure	VERB
ejpam-4066	99	20	that	that	SCONJ
ejpam-4066	99	21	those	those	DET
ejpam-4066	99	22	ordinary	ordinary	ADJ
ejpam-4066	99	23	differential	differential	ADJ
ejpam-4066	99	24	equations	equation	NOUN
ejpam-4066	99	25	can	can	AUX
ejpam-4066	99	26	be	be	AUX
ejpam-4066	99	27	solved	solve	VERB
ejpam-4066	99	28	by	by	ADP
ejpam-4066	99	29	gα	gα	NOUN
ejpam-4066	99	30	-	-	PUNCT
ejpam-4066	99	31	transform	transform	NOUN
ejpam-4066	99	32	.	.	PUNCT
ejpam-4066	100	1	theorem	theorem	NOUN
ejpam-4066	100	2	1	1	X
ejpam-4066	100	3	.	.	PUNCT
ejpam-4066	101	1	consider	consider	VERB
ejpam-4066	101	2	the	the	DET
ejpam-4066	101	3	m	m	NOUN
ejpam-4066	101	4	-	-	PUNCT
ejpam-4066	101	5	th	th	VERB
ejpam-4066	101	6	order	order	NOUN
ejpam-4066	101	7	ordinary	ordinary	ADJ
ejpam-4066	101	8	differential	differential	ADJ
ejpam-4066	101	9	equation	equation	NOUN
ejpam-4066	101	10	of	of	ADP
ejpam-4066	101	11	the	the	DET
ejpam-4066	101	12	form	form	NOUN
ejpam-4066	101	13	(	(	PUNCT
ejpam-4066	101	14	amt2	amt2	ADJ
ejpam-4066	101	15	+	+	CCONJ
ejpam-4066	101	16	bmt+	bmt+	ADV
ejpam-4066	101	17	cm	cm	NOUN
ejpam-4066	101	18	)	)	PUNCT
ejpam-4066	101	19	y(m)(t	y(m)(t	X
ejpam-4066	101	20	)	)	PUNCT
ejpam-4066	102	1	+	+	CCONJ
ejpam-4066	102	2	(	(	PUNCT
ejpam-4066	102	3	am−1	am−1	PROPN
ejpam-4066	102	4	t	t	PROPN
ejpam-4066	102	5	2	2	NUM
ejpam-4066	102	6	+	+	CCONJ
ejpam-4066	102	7	bm−1t+	bm−1t+	PROPN
ejpam-4066	102	8	cm−1	cm−1	NOUN
ejpam-4066	102	9	)	)	PUNCT
ejpam-4066	102	10	y(m−1)(t	y(m−1)(t	PROPN
ejpam-4066	102	11	)	)	PUNCT
ejpam-4066	102	12	+	+	NUM
ejpam-4066	102	13	·	·	PUNCT
ejpam-4066	102	14	·	·	PUNCT
ejpam-4066	102	15	·	·	PUNCT
ejpam-4066	102	16	+	+	CCONJ
ejpam-4066	102	17	(	(	PUNCT
ejpam-4066	102	18	a0	a0	PROPN
ejpam-4066	102	19	t	t	PROPN
ejpam-4066	102	20	2	2	NUM
ejpam-4066	102	21	+	+	CCONJ
ejpam-4066	102	22	b0t+	b0t+	PROPN
ejpam-4066	102	23	c0	c0	NOUN
ejpam-4066	102	24	)	)	PUNCT
ejpam-4066	102	25	y(t	y(t	NUM
ejpam-4066	102	26	)	)	PUNCT
ejpam-4066	102	27	=	=	SYM
ejpam-4066	102	28	g(t	g(t	PROPN
ejpam-4066	102	29	)	)	PUNCT
ejpam-4066	102	30	,	,	PUNCT
ejpam-4066	102	31	(	(	PUNCT
ejpam-4066	102	32	2	2	X
ejpam-4066	102	33	)	)	PUNCT
ejpam-4066	102	34	where	where	SCONJ
ejpam-4066	102	35	aj	aj	PROPN
ejpam-4066	102	36	,	,	PUNCT
ejpam-4066	102	37	bj	bj	VERB
ejpam-4066	102	38	,	,	PUNCT
ejpam-4066	102	39	cj	cj	NOUN
ejpam-4066	102	40	are	be	AUX
ejpam-4066	102	41	constants	constant	NOUN
ejpam-4066	102	42	,	,	PUNCT
ejpam-4066	102	43	j	j	PROPN
ejpam-4066	102	44	=	=	SYM
ejpam-4066	102	45	0	0	NUM
ejpam-4066	102	46	,	,	PUNCT
ejpam-4066	102	47	1	1	NUM
ejpam-4066	102	48	,	,	PUNCT
ejpam-4066	102	49	2	2	NUM
ejpam-4066	102	50	,	,	PUNCT
ejpam-4066	102	51	.	.	PUNCT
ejpam-4066	102	52	.	.	PUNCT
ejpam-4066	102	53	.	.	PUNCT
ejpam-4066	103	1	,	,	PUNCT
ejpam-4066	103	2	m	m	PROPN
ejpam-4066	103	3	and	and	CCONJ
ejpam-4066	103	4	g(t	g(t	PROPN
ejpam-4066	103	5	)	)	PUNCT
ejpam-4066	103	6	is	be	AUX
ejpam-4066	103	7	an	an	DET
ejpam-4066	103	8	unknown	unknown	ADJ
ejpam-4066	103	9	function	function	NOUN
ejpam-4066	103	10	.	.	PUNCT
ejpam-4066	104	1	the	the	DET
ejpam-4066	104	2	gα	gα	NOUN
ejpam-4066	104	3	-	-	PUNCT
ejpam-4066	104	4	transform	transform	NOUN
ejpam-4066	104	5	is	be	AUX
ejpam-4066	104	6	a	a	DET
ejpam-4066	104	7	suitable	suitable	ADJ
ejpam-4066	104	8	method	method	NOUN
ejpam-4066	104	9	for	for	ADP
ejpam-4066	104	10	solving	solve	VERB
ejpam-4066	104	11	(	(	PUNCT
ejpam-4066	104	12	2	2	NUM
ejpam-4066	104	13	)	)	PUNCT
ejpam-4066	104	14	,	,	PUNCT
ejpam-4066	104	15	if	if	SCONJ
ejpam-4066	104	16	the	the	DET
ejpam-4066	104	17	following	follow	VERB
ejpam-4066	104	18	conditions	condition	NOUN
ejpam-4066	104	19	are	be	AUX
ejpam-4066	104	20	satisfies	satisfie	NOUN
ejpam-4066	104	21	cm	cm	X
ejpam-4066	104	22	=	=	SYM
ejpam-4066	104	23	bm	bm	PROPN
ejpam-4066	104	24	=	=	PROPN
ejpam-4066	104	25	cm−1	cm−1	PROPN
ejpam-4066	104	26	=	=	SYM
ejpam-4066	104	27	(	(	PUNCT
ejpam-4066	104	28	α−	α−	ADP
ejpam-4066	104	29	1)αa0	1)αa0	NUM
ejpam-4066	105	1	=	=	SYM
ejpam-4066	105	2	2(α−	2(α−	NUM
ejpam-4066	105	3	1)a0	1)a0	NUM
ejpam-4066	105	4	=	=	SYM
ejpam-4066	105	5	0	0	NUM
ejpam-4066	105	6	,	,	PUNCT
ejpam-4066	105	7	[	[	X
ejpam-4066	105	8	2	2	NUM
ejpam-4066	105	9	+	+	SYM
ejpam-4066	105	10	2(α−	2(α−	NUM
ejpam-4066	105	11	1	1	NUM
ejpam-4066	105	12	)	)	PUNCT
ejpam-4066	105	13	+	+	CCONJ
ejpam-4066	105	14	(	(	PUNCT
ejpam-4066	105	15	α−	α−	ADP
ejpam-4066	105	16	1)α]a1	1)α]a1	NUM
ejpam-4066	105	17	−	−	NOUN
ejpam-4066	105	18	αb0	αb0	NOUN
ejpam-4066	105	19	=	=	PUNCT
ejpam-4066	105	20	bi−1	bi−1	PROPN
ejpam-4066	105	21	−	−	PROPN
ejpam-4066	105	22	2(α+	2(α+	NUM
ejpam-4066	105	23	i−	i−	PROPN
ejpam-4066	105	24	1)ai	1)ai	PROPN
ejpam-4066	105	25	=	=	SYM
ejpam-4066	105	26	0	0	NUM
ejpam-4066	105	27	for	for	ADP
ejpam-4066	105	28	i	i	PRON
ejpam-4066	105	29	=	=	NOUN
ejpam-4066	105	30	1	1	NUM
ejpam-4066	105	31	,	,	PUNCT
ejpam-4066	105	32	2	2	NUM
ejpam-4066	105	33	,	,	PUNCT
ejpam-4066	105	34	3	3	NUM
ejpam-4066	105	35	,	,	PUNCT
ejpam-4066	105	36	.	.	PUNCT
ejpam-4066	105	37	.	.	PUNCT
ejpam-4066	105	38	.	.	PUNCT
ejpam-4066	106	1	,	,	PUNCT
ejpam-4066	106	2	m	m	PROPN
ejpam-4066	106	3	,	,	PUNCT
ejpam-4066	106	4	and	and	CCONJ
ejpam-4066	106	5	[	[	X
ejpam-4066	106	6	i(i+	i(i+	ADP
ejpam-4066	106	7	1	1	NUM
ejpam-4066	106	8	)	)	PUNCT
ejpam-4066	106	9	+	+	CCONJ
ejpam-4066	107	1	2(α−	2(α−	NUM
ejpam-4066	107	2	1)i+	1)i+	NUM
ejpam-4066	107	3	(	(	PUNCT
ejpam-4066	107	4	α−	α−	ADP
ejpam-4066	107	5	1)α]ai	1)α]ai	NUM
ejpam-4066	107	6	−	−	PROPN
ejpam-4066	107	7	(	(	PUNCT
ejpam-4066	107	8	i+	i+	NOUN
ejpam-4066	107	9	α−	α−	ADP
ejpam-4066	107	10	1)bi−1	1)bi−1	NUM
ejpam-4066	107	11	+	+	CCONJ
ejpam-4066	107	12	ci−2	ci−2	PROPN
ejpam-4066	107	13	=	=	SYM
ejpam-4066	107	14	0	0	NUM
ejpam-4066	107	15	for	for	ADP
ejpam-4066	107	16	i	i	PRON
ejpam-4066	107	17	=	=	SYM
ejpam-4066	107	18	2	2	NUM
ejpam-4066	107	19	,	,	PUNCT
ejpam-4066	107	20	3	3	NUM
ejpam-4066	107	21	,	,	PUNCT
ejpam-4066	107	22	4	4	NUM
ejpam-4066	107	23	,	,	PUNCT
ejpam-4066	107	24	.	.	PUNCT
ejpam-4066	107	25	.	.	PUNCT
ejpam-4066	107	26	.	.	PUNCT
ejpam-4066	108	1	,	,	PUNCT
ejpam-4066	108	2	m.	m.	NOUN
ejpam-4066	108	3	s.	s.	PROPN
ejpam-4066	108	4	sattaso	sattaso	PROPN
ejpam-4066	108	5	et	et	PROPN
ejpam-4066	108	6	al	al	PROPN
ejpam-4066	108	7	.	.	PUNCT
ejpam-4066	108	8	/	/	SYM
ejpam-4066	108	9	eur	eur	PROPN
ejpam-4066	108	10	.	.	PUNCT
ejpam-4066	109	1	j.	j.	PROPN
ejpam-4066	109	2	pure	pure	PROPN
ejpam-4066	109	3	appl	appl	PROPN
ejpam-4066	109	4	.	.	PROPN
ejpam-4066	109	5	math	math	PROPN
ejpam-4066	109	6	,	,	PUNCT
ejpam-4066	109	7	14	14	NUM
ejpam-4066	109	8	(	(	PUNCT
ejpam-4066	109	9	4	4	NUM
ejpam-4066	109	10	)	)	PUNCT
ejpam-4066	109	11	(	(	PUNCT
ejpam-4066	109	12	2021	2021	NUM
ejpam-4066	109	13	)	)	PUNCT
ejpam-4066	109	14	,	,	PUNCT
ejpam-4066	109	15	1184	1184	NUM
ejpam-4066	109	16	-	-	SYM
ejpam-4066	109	17	1199	1199	NUM
ejpam-4066	109	18	1189	1189	NUM
ejpam-4066	109	19	proof	proof	NOUN
ejpam-4066	109	20	.	.	PUNCT
ejpam-4066	110	1	by	by	ADP
ejpam-4066	110	2	using	use	VERB
ejpam-4066	110	3	remark	remark	NOUN
ejpam-4066	110	4	1(1	1(1	NUM
ejpam-4066	110	5	-	-	SYM
ejpam-4066	110	6	2	2	NUM
ejpam-4066	110	7	)	)	PUNCT
ejpam-4066	110	8	and	and	CCONJ
ejpam-4066	110	9	taking	take	VERB
ejpam-4066	110	10	gα	gα	NOUN
ejpam-4066	110	11	-	-	PUNCT
ejpam-4066	110	12	transform	transform	NOUN
ejpam-4066	110	13	of	of	ADP
ejpam-4066	110	14	both	both	DET
ejpam-4066	110	15	sides	side	NOUN
ejpam-4066	110	16	to	to	ADP
ejpam-4066	110	17	(	(	PUNCT
ejpam-4066	110	18	2	2	NUM
ejpam-4066	110	19	)	)	PUNCT
ejpam-4066	110	20	,	,	PUNCT
ejpam-4066	110	21	we	we	PRON
ejpam-4066	110	22	obtain	obtain	AUX
ejpam-4066	110	23	[	[	PUNCT
ejpam-4066	110	24	am	be	AUX
ejpam-4066	110	25	um−4	um−4	PROPN
ejpam-4066	110	26	+	+	CCONJ
ejpam-4066	110	27	am−1	am−1	PROPN
ejpam-4066	110	28	um−5	um−5	PROPN
ejpam-4066	110	29	+	+	CCONJ
ejpam-4066	110	30	·	·	PUNCT
ejpam-4066	110	31	·	·	PUNCT
ejpam-4066	110	32	·	·	PUNCT
ejpam-4066	111	1	+	+	NUM
ejpam-4066	111	2	a1	a1	NOUN
ejpam-4066	111	3	u−3	u−3	PROPN
ejpam-4066	111	4	+	+	CCONJ
ejpam-4066	111	5	a0	a0	PROPN
ejpam-4066	111	6	u−4	u−4	PROPN
ejpam-4066	111	7	]	]	X
ejpam-4066	111	8	f	f	PROPN
ejpam-4066	111	9	′′(u	′′(u	PROPN
ejpam-4066	111	10	)	)	PUNCT
ejpam-4066	112	1	+	+	CCONJ
ejpam-4066	112	2	[	[	PUNCT
ejpam-4066	112	3	−2(α+m−	−2(α+m−	NOUN
ejpam-4066	112	4	1	1	NUM
ejpam-4066	112	5	)	)	PUNCT
ejpam-4066	112	6	am	be	AUX
ejpam-4066	112	7	um−3	um−3	PROPN
ejpam-4066	112	8	−	−	PROPN
ejpam-4066	112	9	2(α+m−	2(α+m−	NUM
ejpam-4066	112	10	2	2	NUM
ejpam-4066	112	11	)	)	PUNCT
ejpam-4066	112	12	am−1	am−1	PROPN
ejpam-4066	112	13	um−4	um−4	PROPN
ejpam-4066	112	14	−	−	PROPN
ejpam-4066	112	15	·	·	PUNCT
ejpam-4066	112	16	·	·	PUNCT
ejpam-4066	112	17	·	·	PUNCT
ejpam-4066	113	1	−	−	NOUN
ejpam-4066	113	2	2α	2α	NOUN
ejpam-4066	113	3	a1	a1	NOUN
ejpam-4066	114	1	u−2	u−2	NOUN
ejpam-4066	115	1	−	−	PROPN
ejpam-4066	116	1	2(α−	2(α−	NUM
ejpam-4066	116	2	1	1	NUM
ejpam-4066	116	3	)	)	PUNCT
ejpam-4066	116	4	a0	a0	NOUN
ejpam-4066	116	5	u−3	u−3	PROPN
ejpam-4066	116	6	+	+	CCONJ
ejpam-4066	116	7	bm	bm	PROPN
ejpam-4066	116	8	um−2	um−2	PROPN
ejpam-4066	116	9	+	+	CCONJ
ejpam-4066	116	10	bm−1	bm−1	PROPN
ejpam-4066	116	11	um−3	um−3	PROPN
ejpam-4066	116	12	+	+	CCONJ
ejpam-4066	116	13	·	·	PUNCT
ejpam-4066	116	14	·	·	PUNCT
ejpam-4066	116	15	·	·	PUNCT
ejpam-4066	116	16	+	+	NUM
ejpam-4066	116	17	b1	b1	VERB
ejpam-4066	116	18	u−1	u−1	PROPN
ejpam-4066	116	19	+	+	CCONJ
ejpam-4066	116	20	b0	b0	VERB
ejpam-4066	116	21	u−2	u−2	PROPN
ejpam-4066	116	22	]	]	X
ejpam-4066	116	23	f	f	PROPN
ejpam-4066	116	24	′(u	′(u	NOUN
ejpam-4066	116	25	)	)	PUNCT
ejpam-4066	116	26	+	+	CCONJ
ejpam-4066	117	1	[	[	X
ejpam-4066	117	2	(	(	PUNCT
ejpam-4066	117	3	m(m+	m(m+	NUM
ejpam-4066	117	4	1	1	NUM
ejpam-4066	117	5	)	)	PUNCT
ejpam-4066	117	6	+	+	CCONJ
ejpam-4066	117	7	2(α−	2(α−	NUM
ejpam-4066	117	8	1)m+	1)m+	NUM
ejpam-4066	117	9	(	(	PUNCT
ejpam-4066	117	10	α−	α−	PROPN
ejpam-4066	117	11	1)α	1)α	NUM
ejpam-4066	117	12	)	)	PUNCT
ejpam-4066	117	13	am	be	AUX
ejpam-4066	117	14	um−2	um−2	PROPN
ejpam-4066	117	15	+	+	CCONJ
ejpam-4066	117	16	(	(	PUNCT
ejpam-4066	117	17	(	(	PUNCT
ejpam-4066	117	18	m−	m−	PROPN
ejpam-4066	117	19	1)m+	1)m+	NUM
ejpam-4066	117	20	2(α−	2(α−	NUM
ejpam-4066	117	21	1)(m−	1)(m−	NUM
ejpam-4066	117	22	1	1	NUM
ejpam-4066	117	23	)	)	PUNCT
ejpam-4066	117	24	+	+	CCONJ
ejpam-4066	117	25	(	(	PUNCT
ejpam-4066	117	26	α−	α−	ADP
ejpam-4066	117	27	1)α	1)α	NUM
ejpam-4066	117	28	)	)	PUNCT
ejpam-4066	117	29	am−1	am−1	PROPN
ejpam-4066	117	30	um−3	um−3	PROPN
ejpam-4066	117	31	+	+	CCONJ
ejpam-4066	117	32	·	·	PUNCT
ejpam-4066	117	33	·	·	PUNCT
ejpam-4066	117	34	·	·	PUNCT
ejpam-4066	118	1	+	+	CCONJ
ejpam-4066	118	2	(	(	PUNCT
ejpam-4066	118	3	2	2	NUM
ejpam-4066	118	4	+	+	SYM
ejpam-4066	118	5	2(α−	2(α−	NUM
ejpam-4066	118	6	1	1	NUM
ejpam-4066	118	7	)	)	PUNCT
ejpam-4066	118	8	+	+	CCONJ
ejpam-4066	118	9	(	(	PUNCT
ejpam-4066	118	10	α−	α−	ADP
ejpam-4066	118	11	1)α	1)α	NUM
ejpam-4066	118	12	)	)	PUNCT
ejpam-4066	118	13	a1	a1	VERB
ejpam-4066	118	14	u−1	u−1	PROPN
ejpam-4066	118	15	+	+	CCONJ
ejpam-4066	118	16	(	(	PUNCT
ejpam-4066	118	17	α−	α−	PROPN
ejpam-4066	118	18	1)α	1)α	NUM
ejpam-4066	118	19	a0	a0	PROPN
ejpam-4066	119	1	u−2	u−2	PROPN
ejpam-4066	119	2	−	−	PROPN
ejpam-4066	119	3	(	(	PUNCT
ejpam-4066	119	4	α+m	α+m	NUM
ejpam-4066	119	5	)	)	PUNCT
ejpam-4066	119	6	bm	bm	PROPN
ejpam-4066	119	7	um−1	um−1	PROPN
ejpam-4066	119	8	−(α+m−	−(α+m−	NOUN
ejpam-4066	119	9	1	1	NUM
ejpam-4066	119	10	)	)	PUNCT
ejpam-4066	119	11	bm−1	bm−1	NOUN
ejpam-4066	119	12	um−2	um−2	PROPN
ejpam-4066	119	13	−	−	PROPN
ejpam-4066	119	14	·	·	PUNCT
ejpam-4066	119	15	·	·	PUNCT
ejpam-4066	119	16	·	·	PUNCT
ejpam-4066	120	1	−	−	PUNCT
ejpam-4066	120	2	(	(	PUNCT
ejpam-4066	120	3	α+	α+	PROPN
ejpam-4066	120	4	1)b1	1)b1	NUM
ejpam-4066	120	5	−	−	PROPN
ejpam-4066	120	6	α	α	NOUN
ejpam-4066	120	7	b0	b0	VERB
ejpam-4066	120	8	u−1	u−1	PROPN
ejpam-4066	120	9	+	+	PUNCT
ejpam-4066	120	10	cm	cm	PROPN
ejpam-4066	120	11	um	um	INTJ
ejpam-4066	120	12	+	+	CCONJ
ejpam-4066	120	13	cm−1	cm−1	VERB
ejpam-4066	120	14	um−1	um−1	PROPN
ejpam-4066	120	15	+	+	CCONJ
ejpam-4066	120	16	·	·	PUNCT
ejpam-4066	120	17	·	·	PUNCT
ejpam-4066	120	18	·	·	PUNCT
ejpam-4066	120	19	+	+	NUM
ejpam-4066	120	20	c1	c1	PROPN
ejpam-4066	120	21	u	u	NOUN
ejpam-4066	120	22	+	+	CCONJ
ejpam-4066	120	23	c0	c0	X
ejpam-4066	120	24	]	]	X
ejpam-4066	120	25	f	f	PROPN
ejpam-4066	120	26	(	(	PUNCT
ejpam-4066	120	27	u	u	NOUN
ejpam-4066	120	28	)	)	PUNCT
ejpam-4066	120	29	=	=	SYM
ejpam-4066	120	30	gα{g(t	gα{g(t	NOUN
ejpam-4066	120	31	)	)	PUNCT
ejpam-4066	120	32	}	}	PUNCT
ejpam-4066	120	33	−	−	PUNCT
ejpam-4066	120	34	q(u	q(u	NOUN
ejpam-4066	120	35	)	)	PUNCT
ejpam-4066	120	36	,	,	PUNCT
ejpam-4066	120	37	(	(	PUNCT
ejpam-4066	120	38	3	3	X
ejpam-4066	120	39	)	)	PUNCT
ejpam-4066	120	40	where	where	SCONJ
ejpam-4066	120	41	q(u	q(u	X
ejpam-4066	120	42	)	)	PUNCT
ejpam-4066	120	43	be	be	AUX
ejpam-4066	120	44	contained	contain	VERB
ejpam-4066	120	45	in	in	ADP
ejpam-4066	120	46	some	some	DET
ejpam-4066	120	47	expressions	expression	NOUN
ejpam-4066	120	48	that	that	PRON
ejpam-4066	120	49	are	be	AUX
ejpam-4066	120	50	started	start	VERB
ejpam-4066	120	51	by	by	ADP
ejpam-4066	120	52	summation	summation	NOUN
ejpam-4066	120	53	and	and	CCONJ
ejpam-4066	120	54	do	do	AUX
ejpam-4066	120	55	not	not	PART
ejpam-4066	120	56	influence	influence	VERB
ejpam-4066	120	57	the	the	DET
ejpam-4066	120	58	proof	proof	NOUN
ejpam-4066	120	59	steps	step	NOUN
ejpam-4066	120	60	.	.	PUNCT
ejpam-4066	121	1	if	if	SCONJ
ejpam-4066	121	2	the	the	DET
ejpam-4066	121	3	gα	gα	NOUN
ejpam-4066	121	4	-	-	PUNCT
ejpam-4066	121	5	transform	transform	NOUN
ejpam-4066	121	6	is	be	AUX
ejpam-4066	121	7	suitable	suitable	ADJ
ejpam-4066	121	8	method	method	NOUN
ejpam-4066	121	9	for	for	ADP
ejpam-4066	121	10	solving	solve	VERB
ejpam-4066	121	11	(	(	PUNCT
ejpam-4066	121	12	2	2	NUM
ejpam-4066	121	13	)	)	PUNCT
ejpam-4066	121	14	,	,	PUNCT
ejpam-4066	121	15	then	then	ADV
ejpam-4066	121	16	the	the	DET
ejpam-4066	121	17	coefficient	coefficient	NOUN
ejpam-4066	121	18	of	of	ADP
ejpam-4066	121	19	f	f	PROPN
ejpam-4066	121	20	(	(	PUNCT
ejpam-4066	121	21	u	u	NOUN
ejpam-4066	121	22	)	)	PUNCT
ejpam-4066	121	23	and	and	CCONJ
ejpam-4066	121	24	f	f	PROPN
ejpam-4066	121	25	′(u	′(u	NOUN
ejpam-4066	121	26	)	)	PUNCT
ejpam-4066	121	27	in	in	ADP
ejpam-4066	121	28	(	(	PUNCT
ejpam-4066	121	29	3	3	X
ejpam-4066	121	30	)	)	PUNCT
ejpam-4066	121	31	should	should	AUX
ejpam-4066	121	32	be	be	AUX
ejpam-4066	121	33	equal	equal	ADJ
ejpam-4066	121	34	to	to	ADP
ejpam-4066	121	35	zero	zero	NUM
ejpam-4066	121	36	.	.	PUNCT
ejpam-4066	122	1	thus	thus	ADV
ejpam-4066	122	2	,	,	PUNCT
ejpam-4066	122	3	if	if	SCONJ
ejpam-4066	122	4	the	the	DET
ejpam-4066	122	5	coefficient	coefficient	NOUN
ejpam-4066	122	6	of	of	ADP
ejpam-4066	122	7	f	f	PROPN
ejpam-4066	122	8	(	(	PUNCT
ejpam-4066	122	9	u	u	NOUN
ejpam-4066	122	10	)	)	PUNCT
ejpam-4066	122	11	=	=	SYM
ejpam-4066	122	12	0	0	NUM
ejpam-4066	122	13	,	,	PUNCT
ejpam-4066	122	14	then	then	ADV
ejpam-4066	122	15	um	um	INTJ
ejpam-4066	122	16	→	→	SYM
ejpam-4066	122	17	cm	cm	NOUN
ejpam-4066	122	18	=	=	SYM
ejpam-4066	122	19	0	0	NUM
ejpam-4066	122	20	;	;	PUNCT
ejpam-4066	122	21	um−1	um−1	PROPN
ejpam-4066	122	22	→	→	SYM
ejpam-4066	122	23	cm−1	cm−1	NOUN
ejpam-4066	122	24	−	−	PROPN
ejpam-4066	122	25	(	(	PUNCT
ejpam-4066	122	26	m+	m+	NOUN
ejpam-4066	122	27	α)bm	α)bm	NOUN
ejpam-4066	122	28	=	=	SYM
ejpam-4066	122	29	0	0	NUM
ejpam-4066	122	30	;	;	PUNCT
ejpam-4066	122	31	um−2	um−2	PROPN
ejpam-4066	122	32	→	→	SYM
ejpam-4066	122	33	cm−2	cm−2	PROPN
ejpam-4066	122	34	−	−	PROPN
ejpam-4066	122	35	(	(	PUNCT
ejpam-4066	122	36	m+	m+	NOUN
ejpam-4066	122	37	α−	α−	ADP
ejpam-4066	122	38	1)bm−1	1)bm−1	PROPN
ejpam-4066	123	1	+	+	CCONJ
ejpam-4066	123	2	(	(	PUNCT
ejpam-4066	123	3	m(m+	m(m+	X
ejpam-4066	123	4	1	1	NUM
ejpam-4066	123	5	)	)	PUNCT
ejpam-4066	124	1	+	+	CCONJ
ejpam-4066	124	2	2(α−	2(α−	NUM
ejpam-4066	124	3	1)m+	1)m+	NUM
ejpam-4066	124	4	(	(	PUNCT
ejpam-4066	124	5	α−	α−	NOUN
ejpam-4066	124	6	1)α	1)α	NUM
ejpam-4066	124	7	)	)	PUNCT
ejpam-4066	124	8	am	be	AUX
ejpam-4066	124	9	=	=	NOUN
ejpam-4066	124	10	0	0	NUM
ejpam-4066	124	11	;	;	PUNCT
ejpam-4066	124	12	...	...	PUNCT
ejpam-4066	124	13	u0	u0	PROPN
ejpam-4066	124	14	→	→	SYM
ejpam-4066	124	15	c0	c0	PROPN
ejpam-4066	124	16	−	−	PROPN
ejpam-4066	124	17	(	(	PUNCT
ejpam-4066	124	18	α+	α+	PROPN
ejpam-4066	124	19	1)b1	1)b1	NUM
ejpam-4066	125	1	+	+	CCONJ
ejpam-4066	125	2	(	(	PUNCT
ejpam-4066	125	3	6	6	NUM
ejpam-4066	125	4	+	+	SYM
ejpam-4066	125	5	4(α−	4(α−	NUM
ejpam-4066	125	6	1	1	NUM
ejpam-4066	125	7	)	)	PUNCT
ejpam-4066	125	8	+	+	CCONJ
ejpam-4066	125	9	(	(	PUNCT
ejpam-4066	125	10	α−	α−	ADP
ejpam-4066	125	11	1)α	1)α	NUM
ejpam-4066	125	12	)	)	PUNCT
ejpam-4066	125	13	a2	a2	PROPN
ejpam-4066	125	14	=	=	SYM
ejpam-4066	125	15	0	0	NUM
ejpam-4066	125	16	;	;	PUNCT
ejpam-4066	125	17	u−1	u−1	PROPN
ejpam-4066	125	18	→	→	SYM
ejpam-4066	125	19	−αb0	−αb0	PROPN
ejpam-4066	125	20	+	+	CCONJ
ejpam-4066	125	21	(	(	PUNCT
ejpam-4066	125	22	2	2	NUM
ejpam-4066	125	23	+	+	SYM
ejpam-4066	125	24	2(α−	2(α−	NUM
ejpam-4066	125	25	1	1	NUM
ejpam-4066	125	26	)	)	PUNCT
ejpam-4066	125	27	+	+	CCONJ
ejpam-4066	125	28	(	(	PUNCT
ejpam-4066	125	29	α−	α−	ADP
ejpam-4066	125	30	1)α	1)α	NUM
ejpam-4066	125	31	)	)	PUNCT
ejpam-4066	125	32	a1	a1	NOUN
ejpam-4066	125	33	=	=	SYM
ejpam-4066	125	34	0	0	NUM
ejpam-4066	125	35	;	;	PUNCT
ejpam-4066	125	36	u−2	u−2	PROPN
ejpam-4066	125	37	→	→	SYM
ejpam-4066	125	38	(	(	PUNCT
ejpam-4066	125	39	α−	α−	ADP
ejpam-4066	125	40	1)αa0	1)αa0	NUM
ejpam-4066	125	41	=	=	SYM
ejpam-4066	125	42	0	0	PROPN
ejpam-4066	125	43	.	.	PUNCT
ejpam-4066	126	1	and	and	CCONJ
ejpam-4066	126	2	if	if	SCONJ
ejpam-4066	126	3	the	the	DET
ejpam-4066	126	4	coefficient	coefficient	NOUN
ejpam-4066	126	5	of	of	ADP
ejpam-4066	126	6	f	f	PROPN
ejpam-4066	126	7	′(u	′(u	NOUN
ejpam-4066	126	8	)	)	PUNCT
ejpam-4066	126	9	=	=	SYM
ejpam-4066	126	10	0	0	NUM
ejpam-4066	126	11	,	,	PUNCT
ejpam-4066	126	12	then	then	ADV
ejpam-4066	126	13	um−2	um−2	PROPN
ejpam-4066	126	14	→	→	SYM
ejpam-4066	126	15	bm	bm	PROPN
ejpam-4066	126	16	=	=	SYM
ejpam-4066	126	17	0	0	NUM
ejpam-4066	126	18	um−3	um−3	PROPN
ejpam-4066	126	19	→	→	SYM
ejpam-4066	126	20	bm−1	bm−1	NOUN
ejpam-4066	126	21	−	−	NOUN
ejpam-4066	126	22	2(m+	2(m+	NUM
ejpam-4066	127	1	α−	α−	ADP
ejpam-4066	127	2	1)am	1)am	PROPN
ejpam-4066	127	3	=	=	SYM
ejpam-4066	127	4	0	0	NUM
ejpam-4066	127	5	um−4	um−4	PROPN
ejpam-4066	127	6	→	→	PUNCT
ejpam-4066	127	7	bm−2	bm−2	PROPN
ejpam-4066	127	8	−	−	NOUN
ejpam-4066	127	9	2(m+	2(m+	NUM
ejpam-4066	128	1	α−	α−	ADP
ejpam-4066	128	2	2)am−1	2)am−1	NUM
ejpam-4066	128	3	=	=	SYM
ejpam-4066	128	4	0	0	NUM
ejpam-4066	128	5	...	...	PUNCT
ejpam-4066	128	6	u−1	u−1	PROPN
ejpam-4066	128	7	→	→	SYM
ejpam-4066	128	8	b1	b1	NOUN
ejpam-4066	128	9	−	−	PROPN
ejpam-4066	128	10	2(α+	2(α+	NUM
ejpam-4066	128	11	1)a2	1)a2	NUM
ejpam-4066	128	12	=	=	SYM
ejpam-4066	128	13	0	0	PUNCT
ejpam-4066	129	1	u−2	u−2	PROPN
ejpam-4066	129	2	→	→	SYM
ejpam-4066	129	3	b0	b0	NOUN
ejpam-4066	129	4	−	−	PROPN
ejpam-4066	129	5	2αa1	2αa1	NUM
ejpam-4066	130	1	=	=	SYM
ejpam-4066	130	2	0	0	PUNCT
ejpam-4066	130	3	u−3	u−3	PROPN
ejpam-4066	130	4	→	→	SYM
ejpam-4066	130	5	2(α−	2(α−	NUM
ejpam-4066	130	6	1)a0	1)a0	NUM
ejpam-4066	130	7	=	=	SYM
ejpam-4066	130	8	0	0	NUM
ejpam-4066	130	9	.	.	PUNCT
ejpam-4066	131	1	in	in	ADP
ejpam-4066	131	2	general	general	ADJ
ejpam-4066	131	3	,	,	PUNCT
ejpam-4066	131	4	we	we	PRON
ejpam-4066	131	5	can	can	AUX
ejpam-4066	131	6	show	show	VERB
ejpam-4066	131	7	that	that	DET
ejpam-4066	131	8	cm	cm	NOUN
ejpam-4066	131	9	=	=	SYM
ejpam-4066	131	10	bm	bm	PROPN
ejpam-4066	131	11	=	=	PROPN
ejpam-4066	131	12	cm−1	cm−1	PROPN
ejpam-4066	131	13	=	=	SYM
ejpam-4066	131	14	(	(	PUNCT
ejpam-4066	131	15	α−	α−	ADP
ejpam-4066	131	16	1)αa0	1)αa0	NUM
ejpam-4066	131	17	=	=	SYM
ejpam-4066	131	18	2(α−	2(α−	NUM
ejpam-4066	131	19	1)a0	1)a0	NUM
ejpam-4066	131	20	=	=	SYM
ejpam-4066	131	21	0	0	PROPN
ejpam-4066	131	22	,	,	PUNCT
ejpam-4066	131	23	s.	s.	PROPN
ejpam-4066	131	24	sattaso	sattaso	PROPN
ejpam-4066	131	25	et	et	PROPN
ejpam-4066	131	26	al	al	PROPN
ejpam-4066	131	27	.	.	PUNCT
ejpam-4066	131	28	/	/	SYM
ejpam-4066	131	29	eur	eur	PROPN
ejpam-4066	131	30	.	.	PUNCT
ejpam-4066	132	1	j.	j.	PROPN
ejpam-4066	132	2	pure	pure	PROPN
ejpam-4066	132	3	appl	appl	PROPN
ejpam-4066	132	4	.	.	PROPN
ejpam-4066	132	5	math	math	PROPN
ejpam-4066	132	6	,	,	PUNCT
ejpam-4066	132	7	14	14	NUM
ejpam-4066	132	8	(	(	PUNCT
ejpam-4066	132	9	4	4	NUM
ejpam-4066	132	10	)	)	PUNCT
ejpam-4066	132	11	(	(	PUNCT
ejpam-4066	132	12	2021	2021	NUM
ejpam-4066	132	13	)	)	PUNCT
ejpam-4066	132	14	,	,	PUNCT
ejpam-4066	132	15	1184	1184	NUM
ejpam-4066	132	16	-	-	SYM
ejpam-4066	132	17	1199	1199	NUM
ejpam-4066	132	18	1190	1190	NUM
ejpam-4066	133	1	[	[	PUNCT
ejpam-4066	133	2	2	2	NUM
ejpam-4066	133	3	+	+	SYM
ejpam-4066	133	4	2(α−	2(α−	NUM
ejpam-4066	133	5	1	1	NUM
ejpam-4066	133	6	)	)	PUNCT
ejpam-4066	133	7	+	+	CCONJ
ejpam-4066	133	8	(	(	PUNCT
ejpam-4066	133	9	α−	α−	ADP
ejpam-4066	133	10	1)α]a1	1)α]a1	NUM
ejpam-4066	133	11	−	−	NOUN
ejpam-4066	133	12	αb0	αb0	NOUN
ejpam-4066	133	13	=	=	PUNCT
ejpam-4066	133	14	bi−1	bi−1	PROPN
ejpam-4066	133	15	−	−	PROPN
ejpam-4066	133	16	2(α+	2(α+	NUM
ejpam-4066	133	17	i−	i−	PROPN
ejpam-4066	133	18	1)ai	1)ai	PROPN
ejpam-4066	133	19	=	=	SYM
ejpam-4066	133	20	0	0	NUM
ejpam-4066	133	21	for	for	ADP
ejpam-4066	133	22	i	i	PRON
ejpam-4066	133	23	=	=	NOUN
ejpam-4066	133	24	1	1	NUM
ejpam-4066	133	25	,	,	PUNCT
ejpam-4066	133	26	2	2	NUM
ejpam-4066	133	27	,	,	PUNCT
ejpam-4066	133	28	3	3	NUM
ejpam-4066	133	29	,	,	PUNCT
ejpam-4066	133	30	.	.	PUNCT
ejpam-4066	133	31	.	.	PUNCT
ejpam-4066	133	32	.	.	PUNCT
ejpam-4066	134	1	,	,	PUNCT
ejpam-4066	134	2	m	m	PROPN
ejpam-4066	134	3	,	,	PUNCT
ejpam-4066	134	4	and	and	CCONJ
ejpam-4066	134	5	[	[	X
ejpam-4066	134	6	i(i+	i(i+	ADP
ejpam-4066	134	7	1	1	NUM
ejpam-4066	134	8	)	)	PUNCT
ejpam-4066	134	9	+	+	CCONJ
ejpam-4066	135	1	2(α−	2(α−	NUM
ejpam-4066	135	2	1)i+	1)i+	NUM
ejpam-4066	135	3	(	(	PUNCT
ejpam-4066	135	4	α−	α−	ADP
ejpam-4066	135	5	1)α]ai	1)α]ai	NUM
ejpam-4066	135	6	−	−	PROPN
ejpam-4066	135	7	(	(	PUNCT
ejpam-4066	135	8	i+	i+	NOUN
ejpam-4066	135	9	α−	α−	ADP
ejpam-4066	135	10	1)bi−1	1)bi−1	NUM
ejpam-4066	135	11	+	+	CCONJ
ejpam-4066	135	12	ci−2	ci−2	PROPN
ejpam-4066	135	13	=	=	SYM
ejpam-4066	135	14	0	0	NUM
ejpam-4066	135	15	for	for	ADP
ejpam-4066	135	16	i	i	PRON
ejpam-4066	135	17	=	=	SYM
ejpam-4066	135	18	2	2	NUM
ejpam-4066	135	19	,	,	PUNCT
ejpam-4066	135	20	3	3	NUM
ejpam-4066	135	21	,	,	PUNCT
ejpam-4066	135	22	4	4	NUM
ejpam-4066	135	23	,	,	PUNCT
ejpam-4066	135	24	.	.	PUNCT
ejpam-4066	135	25	.	.	PUNCT
ejpam-4066	135	26	.	.	PUNCT
ejpam-4066	136	1	,	,	PUNCT
ejpam-4066	136	2	m.	m.	NOUN
ejpam-4066	136	3	this	this	PRON
ejpam-4066	136	4	completes	complete	VERB
ejpam-4066	136	5	the	the	DET
ejpam-4066	136	6	proof	proof	NOUN
ejpam-4066	136	7	.	.	PUNCT
ejpam-4066	137	1	remark	remark	NOUN
ejpam-4066	137	2	2	2	NUM
ejpam-4066	137	3	.	.	PUNCT
ejpam-4066	137	4	from	from	ADP
ejpam-4066	137	5	theorem	theorem	ADJ
ejpam-4066	137	6	1	1	NUM
ejpam-4066	137	7	,	,	PUNCT
ejpam-4066	137	8	if	if	SCONJ
ejpam-4066	137	9	g(t	g(t	PROPN
ejpam-4066	137	10	)	)	PUNCT
ejpam-4066	138	1	=	=	SYM
ejpam-4066	138	2	0	0	NUM
ejpam-4066	138	3	,	,	PUNCT
ejpam-4066	138	4	we	we	PRON
ejpam-4066	138	5	can	can	AUX
ejpam-4066	138	6	just	just	ADV
ejpam-4066	138	7	set	set	VERB
ejpam-4066	138	8	the	the	DET
ejpam-4066	138	9	coefficient	coefficient	NOUN
ejpam-4066	138	10	of	of	ADP
ejpam-4066	138	11	f	f	PROPN
ejpam-4066	138	12	(	(	PUNCT
ejpam-4066	138	13	u	u	NOUN
ejpam-4066	138	14	)	)	PUNCT
ejpam-4066	138	15	equal	equal	ADJ
ejpam-4066	138	16	to	to	ADP
ejpam-4066	138	17	zero	zero	NUM
ejpam-4066	138	18	to	to	PART
ejpam-4066	138	19	reduce	reduce	VERB
ejpam-4066	138	20	conditions	condition	NOUN
ejpam-4066	138	21	.	.	PUNCT
ejpam-4066	139	1	therefore	therefore	ADV
ejpam-4066	139	2	,	,	PUNCT
ejpam-4066	139	3	the	the	DET
ejpam-4066	139	4	gα	gα	NOUN
ejpam-4066	139	5	-	-	PUNCT
ejpam-4066	139	6	transform	transform	NOUN
ejpam-4066	139	7	is	be	AUX
ejpam-4066	139	8	a	a	DET
ejpam-4066	139	9	suitable	suitable	ADJ
ejpam-4066	139	10	method	method	NOUN
ejpam-4066	139	11	for	for	ADP
ejpam-4066	139	12	solving	solve	VERB
ejpam-4066	139	13	equation	equation	NOUN
ejpam-4066	139	14	(	(	PUNCT
ejpam-4066	139	15	2	2	NUM
ejpam-4066	139	16	)	)	PUNCT
ejpam-4066	139	17	,	,	PUNCT
ejpam-4066	139	18	if	if	SCONJ
ejpam-4066	139	19	cm	cm	NOUN
ejpam-4066	139	20	=	=	SYM
ejpam-4066	139	21	cm−1	cm−1	NOUN
ejpam-4066	139	22	−	−	PROPN
ejpam-4066	139	23	(	(	PUNCT
ejpam-4066	139	24	m+	m+	NOUN
ejpam-4066	140	1	α)bm	α)bm	NOUN
ejpam-4066	140	2	=	=	PUNCT
ejpam-4066	141	1	[	[	X
ejpam-4066	141	2	2	2	NUM
ejpam-4066	141	3	+	+	SYM
ejpam-4066	141	4	2(α−	2(α−	NUM
ejpam-4066	141	5	1	1	NUM
ejpam-4066	141	6	)	)	PUNCT
ejpam-4066	141	7	+	+	CCONJ
ejpam-4066	141	8	(	(	PUNCT
ejpam-4066	141	9	α−	α−	ADP
ejpam-4066	141	10	1)α]a1	1)α]a1	NUM
ejpam-4066	141	11	−	−	NOUN
ejpam-4066	141	12	αb0	αb0	NOUN
ejpam-4066	141	13	=	=	SYM
ejpam-4066	141	14	(	(	PUNCT
ejpam-4066	141	15	α−	α−	ADP
ejpam-4066	141	16	1)αa0	1)αa0	NUM
ejpam-4066	141	17	=	=	SYM
ejpam-4066	141	18	0	0	NUM
ejpam-4066	141	19	,	,	PUNCT
ejpam-4066	141	20	and	and	CCONJ
ejpam-4066	141	21	[	[	X
ejpam-4066	141	22	i(i+	i(i+	ADP
ejpam-4066	141	23	1	1	NUM
ejpam-4066	141	24	)	)	PUNCT
ejpam-4066	141	25	+	+	CCONJ
ejpam-4066	141	26	2(α−	2(α−	NUM
ejpam-4066	141	27	1)i+	1)i+	NUM
ejpam-4066	141	28	(	(	PUNCT
ejpam-4066	141	29	α−	α−	ADP
ejpam-4066	141	30	1)α]ai	1)α]ai	NUM
ejpam-4066	141	31	−	−	PROPN
ejpam-4066	141	32	(	(	PUNCT
ejpam-4066	141	33	i+	i+	NOUN
ejpam-4066	141	34	α−	α−	ADP
ejpam-4066	141	35	1)bi−1	1)bi−1	NUM
ejpam-4066	141	36	+	+	CCONJ
ejpam-4066	141	37	ci−2	ci−2	PROPN
ejpam-4066	141	38	=	=	SYM
ejpam-4066	141	39	0	0	NUM
ejpam-4066	141	40	for	for	ADP
ejpam-4066	141	41	i	i	PRON
ejpam-4066	141	42	=	=	SYM
ejpam-4066	141	43	2	2	NUM
ejpam-4066	141	44	,	,	PUNCT
ejpam-4066	141	45	3	3	NUM
ejpam-4066	141	46	,	,	PUNCT
ejpam-4066	141	47	4	4	NUM
ejpam-4066	141	48	,	,	PUNCT
ejpam-4066	141	49	.	.	PUNCT
ejpam-4066	141	50	.	.	PUNCT
ejpam-4066	141	51	.	.	PUNCT
ejpam-4066	142	1	,	,	PUNCT
ejpam-4066	142	2	m.	m.	NOUN
ejpam-4066	142	3	theorem	theorem	NOUN
ejpam-4066	142	4	2	2	X
ejpam-4066	142	5	.	.	X
ejpam-4066	142	6	consider	consider	VERB
ejpam-4066	142	7	the	the	DET
ejpam-4066	142	8	m	m	NOUN
ejpam-4066	142	9	-	-	PUNCT
ejpam-4066	142	10	th	th	VERB
ejpam-4066	142	11	order	order	NOUN
ejpam-4066	142	12	ordinary	ordinary	ADJ
ejpam-4066	142	13	differential	differential	ADJ
ejpam-4066	142	14	equation	equation	NOUN
ejpam-4066	142	15	of	of	ADP
ejpam-4066	142	16	the	the	DET
ejpam-4066	142	17	form	form	NOUN
ejpam-4066	142	18	(	(	PUNCT
ejpam-4066	142	19	amt3	amt3	NOUN
ejpam-4066	142	20	+	+	CCONJ
ejpam-4066	142	21	bmt2	bmt2	ADJ
ejpam-4066	142	22	+	+	CCONJ
ejpam-4066	142	23	cmt+	cmt+	PROPN
ejpam-4066	142	24	dm	dm	PROPN
ejpam-4066	142	25	)	)	PUNCT
ejpam-4066	142	26	y(m)(t	y(m)(t	PROPN
ejpam-4066	142	27	)	)	PUNCT
ejpam-4066	143	1	+	+	CCONJ
ejpam-4066	143	2	(	(	PUNCT
ejpam-4066	143	3	am−1	am−1	PROPN
ejpam-4066	143	4	t	t	PROPN
ejpam-4066	143	5	3	3	NUM
ejpam-4066	143	6	+	+	CCONJ
ejpam-4066	143	7	bm−1	bm−1	PROPN
ejpam-4066	143	8	t	t	NOUN
ejpam-4066	143	9	2	2	NUM
ejpam-4066	143	10	+	+	CCONJ
ejpam-4066	143	11	cm−1t+	cm−1t+	ADJ
ejpam-4066	143	12	dm−1	dm−1	NOUN
ejpam-4066	143	13	)	)	PUNCT
ejpam-4066	144	1	y(m−1)(t	y(m−1)(t	PROPN
ejpam-4066	144	2	)	)	PUNCT
ejpam-4066	144	3	+	+	NUM
ejpam-4066	144	4	·	·	PUNCT
ejpam-4066	144	5	·	·	PUNCT
ejpam-4066	144	6	·	·	PUNCT
ejpam-4066	144	7	+	+	CCONJ
ejpam-4066	144	8	(	(	PUNCT
ejpam-4066	144	9	a0	a0	PROPN
ejpam-4066	144	10	t	t	PROPN
ejpam-4066	144	11	3	3	NUM
ejpam-4066	144	12	+	+	PUNCT
ejpam-4066	144	13	b0	b0	NOUN
ejpam-4066	144	14	t	t	NOUN
ejpam-4066	144	15	2	2	NUM
ejpam-4066	144	16	+	+	CCONJ
ejpam-4066	144	17	c0t+	c0t+	NOUN
ejpam-4066	144	18	d0	d0	NOUN
ejpam-4066	144	19	)	)	PUNCT
ejpam-4066	144	20	y(t	y(t	NUM
ejpam-4066	144	21	)	)	PUNCT
ejpam-4066	144	22	=	=	PUNCT
ejpam-4066	144	23	g(t	g(t	PROPN
ejpam-4066	144	24	)	)	PUNCT
ejpam-4066	144	25	,	,	PUNCT
ejpam-4066	144	26	(	(	PUNCT
ejpam-4066	144	27	4	4	X
ejpam-4066	144	28	)	)	PUNCT
ejpam-4066	144	29	where	where	SCONJ
ejpam-4066	144	30	aj	aj	PROPN
ejpam-4066	144	31	,	,	PUNCT
ejpam-4066	144	32	bj	bj	VERB
ejpam-4066	144	33	,	,	PUNCT
ejpam-4066	144	34	cj	cj	INTJ
ejpam-4066	144	35	,	,	PUNCT
ejpam-4066	144	36	dj	dj	NOUN
ejpam-4066	144	37	are	be	AUX
ejpam-4066	144	38	constants	constant	NOUN
ejpam-4066	144	39	,	,	PUNCT
ejpam-4066	144	40	j	j	PROPN
ejpam-4066	144	41	=	=	SYM
ejpam-4066	144	42	0	0	NUM
ejpam-4066	144	43	,	,	PUNCT
ejpam-4066	144	44	1	1	NUM
ejpam-4066	144	45	,	,	PUNCT
ejpam-4066	144	46	2	2	NUM
ejpam-4066	144	47	,	,	PUNCT
ejpam-4066	144	48	.	.	PUNCT
ejpam-4066	144	49	.	.	PUNCT
ejpam-4066	145	1	.	.	PUNCT
ejpam-4066	146	1	,	,	PUNCT
ejpam-4066	146	2	m	m	PROPN
ejpam-4066	146	3	and	and	CCONJ
ejpam-4066	146	4	g(t	g(t	PROPN
ejpam-4066	146	5	)	)	PUNCT
ejpam-4066	146	6	is	be	AUX
ejpam-4066	146	7	an	an	DET
ejpam-4066	146	8	unknown	unknown	ADJ
ejpam-4066	146	9	function	function	NOUN
ejpam-4066	146	10	.	.	PUNCT
ejpam-4066	147	1	the	the	DET
ejpam-4066	147	2	gα	gα	NOUN
ejpam-4066	147	3	-	-	PUNCT
ejpam-4066	147	4	transform	transform	NOUN
ejpam-4066	147	5	is	be	AUX
ejpam-4066	147	6	a	a	DET
ejpam-4066	147	7	suitable	suitable	ADJ
ejpam-4066	147	8	method	method	NOUN
ejpam-4066	147	9	for	for	ADP
ejpam-4066	147	10	solving	solve	VERB
ejpam-4066	147	11	(	(	PUNCT
ejpam-4066	147	12	4	4	NUM
ejpam-4066	147	13	)	)	PUNCT
ejpam-4066	147	14	,	,	PUNCT
ejpam-4066	147	15	if	if	SCONJ
ejpam-4066	147	16	the	the	DET
ejpam-4066	147	17	following	follow	VERB
ejpam-4066	147	18	conditions	condition	NOUN
ejpam-4066	147	19	are	be	AUX
ejpam-4066	147	20	satisfies	satisfie	NOUN
ejpam-4066	147	21	dm	dm	NUM
ejpam-4066	147	22	=	=	SYM
ejpam-4066	147	23	cm	cm	NOUN
ejpam-4066	147	24	=	=	SYM
ejpam-4066	147	25	bm	bm	PROPN
ejpam-4066	147	26	=	=	SYM
ejpam-4066	147	27	dm−1	dm−1	PROPN
ejpam-4066	147	28	=	=	SYM
ejpam-4066	147	29	cm−1	cm−1	NOUN
ejpam-4066	147	30	=	=	SYM
ejpam-4066	147	31	dm−2	dm−2	PROPN
ejpam-4066	147	32	=	=	SYM
ejpam-4066	147	33	0	0	NUM
ejpam-4066	147	34	,	,	PUNCT
ejpam-4066	147	35	(	(	PUNCT
ejpam-4066	147	36	α−	α−	ADP
ejpam-4066	147	37	2)(α−	2)(α−	NUM
ejpam-4066	147	38	1)αa0	1)αa0	NUM
ejpam-4066	147	39	=	=	SYM
ejpam-4066	148	1	3(α−	3(α−	NUM
ejpam-4066	148	2	2)(α−	2)(α−	NUM
ejpam-4066	148	3	1)a0	1)a0	NOUN
ejpam-4066	148	4	=	=	SYM
ejpam-4066	148	5	3(α−	3(α−	NUM
ejpam-4066	148	6	2)a0	2)a0	NUM
ejpam-4066	148	7	=	=	SYM
ejpam-4066	148	8	0	0	PROPN
ejpam-4066	148	9	,	,	PUNCT
ejpam-4066	148	10	αc0	αc0	NOUN
ejpam-4066	148	11	−	−	NOUN
ejpam-4066	149	1	[	[	X
ejpam-4066	149	2	2	2	NUM
ejpam-4066	149	3	+	+	SYM
ejpam-4066	149	4	2(α−	2(α−	NUM
ejpam-4066	149	5	1	1	NUM
ejpam-4066	149	6	)	)	PUNCT
ejpam-4066	149	7	+	+	CCONJ
ejpam-4066	149	8	(	(	PUNCT
ejpam-4066	149	9	α−	α−	ADP
ejpam-4066	149	10	1)α]b1	1)α]b1	NUM
ejpam-4066	150	1	+	+	NOUN
ejpam-4066	151	1	[	[	X
ejpam-4066	151	2	24	24	NUM
ejpam-4066	151	3	+	+	NUM
ejpam-4066	151	4	18(α−	18(α−	NUM
ejpam-4066	151	5	2	2	NUM
ejpam-4066	151	6	)	)	PUNCT
ejpam-4066	151	7	+	+	NUM
ejpam-4066	152	1	6(α−	6(α−	NUM
ejpam-4066	152	2	2)(α−	2)(α−	NUM
ejpam-4066	152	3	1	1	NUM
ejpam-4066	152	4	)	)	PUNCT
ejpam-4066	152	5	+	+	CCONJ
ejpam-4066	152	6	(	(	PUNCT
ejpam-4066	152	7	α−	α−	ADP
ejpam-4066	152	8	2)(α−	2)(α−	NUM
ejpam-4066	152	9	1)α]a2	1)α]a2	NUM
ejpam-4066	152	10	=	=	SYM
ejpam-4066	152	11	0	0	PROPN
ejpam-4066	152	12	,	,	PUNCT
ejpam-4066	152	13	(	(	PUNCT
ejpam-4066	152	14	α−	α−	ADP
ejpam-4066	152	15	1)αb0	1)αb0	NUM
ejpam-4066	152	16	−	−	NOUN
ejpam-4066	153	1	[	[	X
ejpam-4066	153	2	6	6	NUM
ejpam-4066	153	3	+	+	NUM
ejpam-4066	153	4	6(α−	6(α−	NUM
ejpam-4066	153	5	2	2	NUM
ejpam-4066	153	6	)	)	PUNCT
ejpam-4066	153	7	+	+	CCONJ
ejpam-4066	153	8	3(α−	3(α−	NUM
ejpam-4066	153	9	2)(α−	2)(α−	NUM
ejpam-4066	153	10	1	1	NUM
ejpam-4066	153	11	)	)	PUNCT
ejpam-4066	153	12	+	+	CCONJ
ejpam-4066	153	13	(	(	PUNCT
ejpam-4066	153	14	α−	α−	ADP
ejpam-4066	153	15	2)(α−	2)(α−	NUM
ejpam-4066	153	16	1)α]a1	1)α]a1	NUM
ejpam-4066	153	17	=	=	SYM
ejpam-4066	153	18	0	0	NUM
ejpam-4066	153	19	,	,	PUNCT
ejpam-4066	153	20	2(α−	2(α−	NUM
ejpam-4066	153	21	1)b0	1)b0	NUM
ejpam-4066	153	22	−	−	PUNCT
ejpam-4066	154	1	[	[	X
ejpam-4066	154	2	6	6	NUM
ejpam-4066	154	3	+	+	NUM
ejpam-4066	154	4	6(α−	6(α−	NUM
ejpam-4066	154	5	2	2	NUM
ejpam-4066	154	6	)	)	PUNCT
ejpam-4066	154	7	+	+	CCONJ
ejpam-4066	154	8	3(α−	3(α−	NUM
ejpam-4066	154	9	2)(α−	2)(α−	NUM
ejpam-4066	154	10	1)]a1	1)]a1	NUM
ejpam-4066	154	11	=	=	SYM
ejpam-4066	154	12	0	0	NUM
ejpam-4066	154	13	,	,	PUNCT
ejpam-4066	154	14	di−3	di−3	NOUN
ejpam-4066	154	15	−	−	PROPN
ejpam-4066	154	16	(	(	PUNCT
ejpam-4066	154	17	α+	α+	X
ejpam-4066	154	18	i−	i−	PROPN
ejpam-4066	154	19	2)ci−2	2)ci−2	PROPN
ejpam-4066	154	20	+	+	X
ejpam-4066	155	1	[	[	X
ejpam-4066	155	2	(	(	PUNCT
ejpam-4066	155	3	i−	i−	PROPN
ejpam-4066	155	4	1)i+	1)i+	NUM
ejpam-4066	155	5	2(α−	2(α−	NUM
ejpam-4066	155	6	1)(i−	1)(i−	NUM
ejpam-4066	155	7	1	1	NUM
ejpam-4066	155	8	)	)	PUNCT
ejpam-4066	155	9	+	+	CCONJ
ejpam-4066	155	10	(	(	PUNCT
ejpam-4066	155	11	α−	α−	ADP
ejpam-4066	155	12	1)α]bi−1	1)α]bi−1	NUM
ejpam-4066	155	13	−[i(i+	−[i(i+	PROPN
ejpam-4066	155	14	1)(i+	1)(i+	NUM
ejpam-4066	155	15	2	2	NUM
ejpam-4066	155	16	)	)	PUNCT
ejpam-4066	155	17	+	+	CCONJ
ejpam-4066	155	18	3(α−	3(α−	NUM
ejpam-4066	155	19	2)i(i+	2)i(i+	NUM
ejpam-4066	155	20	1	1	NUM
ejpam-4066	155	21	)	)	PUNCT
ejpam-4066	155	22	+	+	CCONJ
ejpam-4066	155	23	3(α−	3(α−	NUM
ejpam-4066	155	24	2)(α−	2)(α−	NUM
ejpam-4066	155	25	1)i+	1)i+	NUM
ejpam-4066	155	26	(	(	PUNCT
ejpam-4066	155	27	α−	α−	ADP
ejpam-4066	155	28	2)(α−	2)(α−	NUM
ejpam-4066	155	29	1)α]ai	1)α]ai	NUM
ejpam-4066	155	30	=	=	SYM
ejpam-4066	155	31	0	0	NUM
ejpam-4066	155	32	for	for	ADP
ejpam-4066	155	33	i	i	PRON
ejpam-4066	155	34	=	=	SYM
ejpam-4066	155	35	3	3	NUM
ejpam-4066	155	36	,	,	PUNCT
ejpam-4066	155	37	4	4	NUM
ejpam-4066	155	38	,	,	PUNCT
ejpam-4066	155	39	5	5	NUM
ejpam-4066	155	40	,	,	PUNCT
ejpam-4066	155	41	.	.	PUNCT
ejpam-4066	155	42	.	.	PUNCT
ejpam-4066	155	43	.	.	PUNCT
ejpam-4066	156	1	,	,	PUNCT
ejpam-4066	156	2	m	m	PROPN
ejpam-4066	156	3	,	,	PUNCT
ejpam-4066	156	4	ci−2	ci−2	PROPN
ejpam-4066	156	5	−	−	PROPN
ejpam-4066	156	6	2(α+	2(α+	NUM
ejpam-4066	156	7	i−	i−	PROPN
ejpam-4066	156	8	2)bi−1	2)bi−1	PROPN
ejpam-4066	156	9	+	+	PUNCT
ejpam-4066	157	1	[	[	X
ejpam-4066	157	2	3i(i+	3i(i+	NUM
ejpam-4066	157	3	1	1	NUM
ejpam-4066	157	4	)	)	PUNCT
ejpam-4066	157	5	+	+	CCONJ
ejpam-4066	157	6	6(α−	6(α−	NUM
ejpam-4066	157	7	2)i+	2)i+	NUM
ejpam-4066	157	8	3(α−	3(α−	NUM
ejpam-4066	157	9	2)(α−	2)(α−	NUM
ejpam-4066	157	10	1)]ai	1)]ai	NUM
ejpam-4066	157	11	=	=	SYM
ejpam-4066	157	12	0	0	NUM
ejpam-4066	157	13	for	for	ADP
ejpam-4066	157	14	i	i	PRON
ejpam-4066	157	15	=	=	SYM
ejpam-4066	157	16	2	2	NUM
ejpam-4066	157	17	,	,	PUNCT
ejpam-4066	157	18	3	3	NUM
ejpam-4066	157	19	,	,	PUNCT
ejpam-4066	157	20	4	4	NUM
ejpam-4066	157	21	,	,	PUNCT
ejpam-4066	157	22	.	.	PUNCT
ejpam-4066	157	23	.	.	PUNCT
ejpam-4066	157	24	.	.	PUNCT
ejpam-4066	158	1	,	,	PUNCT
ejpam-4066	158	2	m	m	PROPN
ejpam-4066	158	3	,	,	PUNCT
ejpam-4066	158	4	and	and	CCONJ
ejpam-4066	158	5	bi−1	bi−1	PROPN
ejpam-4066	158	6	−	−	PROPN
ejpam-4066	158	7	3(α+	3(α+	NUM
ejpam-4066	158	8	i−	i−	PROPN
ejpam-4066	158	9	2)ai	2)ai	PROPN
ejpam-4066	158	10	=	=	SYM
ejpam-4066	158	11	0	0	NUM
ejpam-4066	158	12	for	for	ADP
ejpam-4066	158	13	i	i	PRON
ejpam-4066	158	14	=	=	NOUN
ejpam-4066	158	15	1	1	NUM
ejpam-4066	158	16	,	,	PUNCT
ejpam-4066	158	17	2	2	NUM
ejpam-4066	158	18	,	,	PUNCT
ejpam-4066	158	19	3	3	NUM
ejpam-4066	158	20	,	,	PUNCT
ejpam-4066	158	21	.	.	PUNCT
ejpam-4066	158	22	.	.	PUNCT
ejpam-4066	159	1	.	.	PUNCT
ejpam-4066	160	1	,	,	PUNCT
ejpam-4066	160	2	m.	m.	NOUN
ejpam-4066	160	3	proof	proof	NOUN
ejpam-4066	160	4	.	.	PUNCT
ejpam-4066	161	1	by	by	ADP
ejpam-4066	161	2	using	use	VERB
ejpam-4066	161	3	remark	remark	NOUN
ejpam-4066	161	4	1	1	NUM
ejpam-4066	161	5	and	and	CCONJ
ejpam-4066	161	6	taking	take	VERB
ejpam-4066	161	7	gα	gα	NOUN
ejpam-4066	161	8	-	-	PUNCT
ejpam-4066	161	9	transform	transform	NOUN
ejpam-4066	161	10	of	of	ADP
ejpam-4066	161	11	both	both	DET
ejpam-4066	161	12	sides	side	NOUN
ejpam-4066	161	13	to	to	ADP
ejpam-4066	161	14	(	(	PUNCT
ejpam-4066	161	15	4	4	NUM
ejpam-4066	161	16	)	)	PUNCT
ejpam-4066	161	17	,	,	PUNCT
ejpam-4066	161	18	we	we	PRON
ejpam-4066	161	19	obtain	obtain	VERB
ejpam-4066	161	20	[	[	PUNCT
ejpam-4066	161	21	am	be	AUX
ejpam-4066	161	22	um−6	um−6	NOUN
ejpam-4066	161	23	+	+	CCONJ
ejpam-4066	161	24	am−1	am−1	PROPN
ejpam-4066	161	25	um−7	um−7	PROPN
ejpam-4066	161	26	+	+	CCONJ
ejpam-4066	161	27	·	·	PUNCT
ejpam-4066	161	28	·	·	PUNCT
ejpam-4066	161	29	·	·	PUNCT
ejpam-4066	162	1	+	+	NUM
ejpam-4066	162	2	a1	a1	ADJ
ejpam-4066	162	3	u−5	u−5	PROPN
ejpam-4066	162	4	+	+	CCONJ
ejpam-4066	162	5	a0	a0	PROPN
ejpam-4066	162	6	u−6	u−6	PROPN
ejpam-4066	162	7	]	]	PUNCT
ejpam-4066	162	8	f	f	X
ejpam-4066	162	9	′′′(u	′′′(u	PROPN
ejpam-4066	162	10	)	)	PUNCT
ejpam-4066	163	1	+	+	PUNCT
ejpam-4066	163	2	[	[	PUNCT
ejpam-4066	163	3	−3(m+	−3(m+	PUNCT
ejpam-4066	163	4	α−	α−	ADP
ejpam-4066	163	5	2	2	NUM
ejpam-4066	163	6	)	)	PUNCT
ejpam-4066	163	7	am	be	AUX
ejpam-4066	163	8	um−5	um−5	PROPN
ejpam-4066	163	9	−	−	PROPN
ejpam-4066	163	10	3(m+	3(m+	NUM
ejpam-4066	163	11	α−	α−	ADP
ejpam-4066	163	12	3	3	NUM
ejpam-4066	163	13	)	)	PUNCT
ejpam-4066	163	14	am−1	am−1	PROPN
ejpam-4066	163	15	um−6	um−6	PROPN
ejpam-4066	163	16	s.	s.	PROPN
ejpam-4066	163	17	sattaso	sattaso	PROPN
ejpam-4066	163	18	et	et	PROPN
ejpam-4066	163	19	al	al	PROPN
ejpam-4066	163	20	.	.	PUNCT
ejpam-4066	163	21	/	/	SYM
ejpam-4066	163	22	eur	eur	PROPN
ejpam-4066	163	23	.	.	PUNCT
ejpam-4066	164	1	j.	j.	PROPN
ejpam-4066	164	2	pure	pure	PROPN
ejpam-4066	164	3	appl	appl	PROPN
ejpam-4066	164	4	.	.	PROPN
ejpam-4066	164	5	math	math	PROPN
ejpam-4066	164	6	,	,	PUNCT
ejpam-4066	164	7	14	14	NUM
ejpam-4066	164	8	(	(	PUNCT
ejpam-4066	164	9	4	4	NUM
ejpam-4066	164	10	)	)	PUNCT
ejpam-4066	164	11	(	(	PUNCT
ejpam-4066	164	12	2021	2021	NUM
ejpam-4066	164	13	)	)	PUNCT
ejpam-4066	164	14	,	,	PUNCT
ejpam-4066	164	15	1184	1184	NUM
ejpam-4066	164	16	-	-	SYM
ejpam-4066	164	17	1199	1199	NUM
ejpam-4066	164	18	1191	1191	NUM
ejpam-4066	164	19	−	−	PROPN
ejpam-4066	164	20	·	·	PUNCT
ejpam-4066	164	21	·	·	PUNCT
ejpam-4066	164	22	·	·	PUNCT
ejpam-4066	165	1	−	−	PROPN
ejpam-4066	165	2	3(α−	3(α−	NUM
ejpam-4066	165	3	1	1	NUM
ejpam-4066	165	4	)	)	PUNCT
ejpam-4066	165	5	a1	a1	NOUN
ejpam-4066	165	6	u−4	u−4	INTJ
ejpam-4066	165	7	−	−	PROPN
ejpam-4066	165	8	3(α−	3(α−	NUM
ejpam-4066	165	9	2	2	NUM
ejpam-4066	165	10	)	)	PUNCT
ejpam-4066	165	11	a0	a0	NOUN
ejpam-4066	165	12	u−5	u−5	PROPN
ejpam-4066	165	13	+	+	CCONJ
ejpam-4066	165	14	bm	bm	PROPN
ejpam-4066	165	15	um−4	um−4	PROPN
ejpam-4066	165	16	+	+	PROPN
ejpam-4066	165	17	bm−1	bm−1	PROPN
ejpam-4066	165	18	um−5	um−5	PROPN
ejpam-4066	165	19	+	+	CCONJ
ejpam-4066	165	20	·	·	PUNCT
ejpam-4066	165	21	·	·	PUNCT
ejpam-4066	165	22	·	·	PUNCT
ejpam-4066	165	23	+	+	NUM
ejpam-4066	165	24	b1	b1	NOUN
ejpam-4066	165	25	u−3	u−3	PROPN
ejpam-4066	165	26	+	+	CCONJ
ejpam-4066	165	27	b0	b0	NOUN
ejpam-4066	165	28	u−4	u−4	PROPN
ejpam-4066	165	29	]	]	X
ejpam-4066	165	30	f	f	PROPN
ejpam-4066	165	31	′′(u	′′(u	PROPN
ejpam-4066	165	32	)	)	PUNCT
ejpam-4066	165	33	+	+	X
ejpam-4066	166	1	[	[	X
ejpam-4066	166	2	(	(	PUNCT
ejpam-4066	166	3	3m(m+	3m(m+	NUM
ejpam-4066	166	4	1	1	NUM
ejpam-4066	166	5	)	)	PUNCT
ejpam-4066	166	6	+	+	CCONJ
ejpam-4066	166	7	6(α−	6(α−	NUM
ejpam-4066	166	8	2)m+	2)m+	NUM
ejpam-4066	166	9	3(α−	3(α−	NUM
ejpam-4066	166	10	2)(α−	2)(α−	NUM
ejpam-4066	166	11	1	1	NUM
ejpam-4066	166	12	)	)	PUNCT
ejpam-4066	166	13	)	)	PUNCT
ejpam-4066	166	14	am	be	AUX
ejpam-4066	166	15	um−4	um−4	PROPN
ejpam-4066	166	16	+	+	CCONJ
ejpam-4066	166	17	(	(	PUNCT
ejpam-4066	166	18	3(m−	3(m−	PROPN
ejpam-4066	166	19	1)m+	1)m+	NUM
ejpam-4066	166	20	6(α−	6(α−	NUM
ejpam-4066	166	21	2)(m−	2)(m−	NUM
ejpam-4066	166	22	1	1	NUM
ejpam-4066	166	23	)	)	PUNCT
ejpam-4066	166	24	+	+	CCONJ
ejpam-4066	167	1	3(α−	3(α−	NUM
ejpam-4066	167	2	2)(α−	2)(α−	NUM
ejpam-4066	167	3	1	1	NUM
ejpam-4066	167	4	)	)	PUNCT
ejpam-4066	167	5	)	)	PUNCT
ejpam-4066	168	1	am−1	am−1	PROPN
ejpam-4066	168	2	um−5	um−5	PROPN
ejpam-4066	168	3	+	+	CCONJ
ejpam-4066	168	4	·	·	PUNCT
ejpam-4066	168	5	·	·	PUNCT
ejpam-4066	168	6	·	·	PUNCT
ejpam-4066	169	1	+	+	CCONJ
ejpam-4066	169	2	(	(	PUNCT
ejpam-4066	169	3	6	6	NUM
ejpam-4066	169	4	+	+	SYM
ejpam-4066	169	5	6(α−	6(α−	NUM
ejpam-4066	169	6	2	2	NUM
ejpam-4066	169	7	)	)	PUNCT
ejpam-4066	169	8	+	+	CCONJ
ejpam-4066	169	9	3(α−	3(α−	NUM
ejpam-4066	169	10	2)(α−	2)(α−	NUM
ejpam-4066	169	11	1	1	NUM
ejpam-4066	169	12	)	)	PUNCT
ejpam-4066	169	13	)	)	PUNCT
ejpam-4066	169	14	a1	a1	VERB
ejpam-4066	169	15	u−3	u−3	PROPN
ejpam-4066	169	16	+	+	CCONJ
ejpam-4066	169	17	3(α−	3(α−	NUM
ejpam-4066	169	18	2)(α−	2)(α−	NUM
ejpam-4066	169	19	1	1	NUM
ejpam-4066	169	20	)	)	PUNCT
ejpam-4066	169	21	×	×	NOUN
ejpam-4066	169	22	a0	a0	PROPN
ejpam-4066	170	1	u−4	u−4	ADP
ejpam-4066	170	2	−	−	PROPN
ejpam-4066	170	3	2(α+m−	2(α+m−	NUM
ejpam-4066	170	4	1	1	NUM
ejpam-4066	170	5	)	)	PUNCT
ejpam-4066	170	6	bm	bm	PROPN
ejpam-4066	170	7	um−3	um−3	PROPN
ejpam-4066	170	8	−	−	PROPN
ejpam-4066	170	9	2(α+m−	2(α+m−	NUM
ejpam-4066	170	10	2	2	NUM
ejpam-4066	170	11	)	)	PUNCT
ejpam-4066	170	12	bm−1	bm−1	NOUN
ejpam-4066	170	13	um−4	um−4	PROPN
ejpam-4066	170	14	−	−	PROPN
ejpam-4066	170	15	·	·	PUNCT
ejpam-4066	170	16	·	·	PUNCT
ejpam-4066	170	17	·	·	PUNCT
ejpam-4066	171	1	−	−	NOUN
ejpam-4066	171	2	2α	2α	NOUN
ejpam-4066	171	3	b1	b1	VERB
ejpam-4066	171	4	u−2	u−2	NOUN
ejpam-4066	171	5	−	−	PROPN
ejpam-4066	172	1	2(α−	2(α−	NUM
ejpam-4066	172	2	1	1	NUM
ejpam-4066	172	3	)	)	PUNCT
ejpam-4066	172	4	b0	b0	VERB
ejpam-4066	172	5	u−3	u−3	PROPN
ejpam-4066	172	6	+	+	PROPN
ejpam-4066	172	7	cm	cm	NOUN
ejpam-4066	173	1	um−2	um−2	PROPN
ejpam-4066	174	1	+	+	CCONJ
ejpam-4066	174	2	cm−1	cm−1	VERB
ejpam-4066	174	3	um−3	um−3	PROPN
ejpam-4066	174	4	+	+	CCONJ
ejpam-4066	174	5	·	·	PUNCT
ejpam-4066	174	6	·	·	PUNCT
ejpam-4066	174	7	·	·	PUNCT
ejpam-4066	174	8	+	+	NUM
ejpam-4066	174	9	c1	c1	PROPN
ejpam-4066	174	10	u−1	u−1	PROPN
ejpam-4066	174	11	+	+	CCONJ
ejpam-4066	174	12	c0	c0	PROPN
ejpam-4066	174	13	u−2	u−2	PROPN
ejpam-4066	174	14	]	]	PUNCT
ejpam-4066	174	15	f	f	X
ejpam-4066	174	16	′(u	′(u	NOUN
ejpam-4066	174	17	)	)	PUNCT
ejpam-4066	175	1	+	+	CCONJ
ejpam-4066	175	2	[	[	PUNCT
ejpam-4066	175	3	−	−	X
ejpam-4066	175	4	(	(	PUNCT
ejpam-4066	175	5	m(m+	m(m+	VERB
ejpam-4066	175	6	1)(m+	1)(m+	NUM
ejpam-4066	175	7	2	2	NUM
ejpam-4066	175	8	)	)	PUNCT
ejpam-4066	175	9	+	+	CCONJ
ejpam-4066	176	1	3(α−	3(α−	NUM
ejpam-4066	176	2	2)m(m+	2)m(m+	NUM
ejpam-4066	176	3	1	1	NUM
ejpam-4066	176	4	)	)	PUNCT
ejpam-4066	176	5	+	+	CCONJ
ejpam-4066	176	6	3(α−	3(α−	NUM
ejpam-4066	176	7	2)(α−	2)(α−	NUM
ejpam-4066	176	8	1)m+	1)m+	NUM
ejpam-4066	176	9	(	(	PUNCT
ejpam-4066	176	10	α−	α−	ADP
ejpam-4066	176	11	2)(α−	2)(α−	NUM
ejpam-4066	176	12	1)α	1)α	NUM
ejpam-4066	176	13	)	)	PUNCT
ejpam-4066	176	14	am	be	AUX
ejpam-4066	176	15	um−3	um−3	PROPN
ejpam-4066	176	16	−	−	PROPN
ejpam-4066	176	17	(	(	PUNCT
ejpam-4066	176	18	(	(	PUNCT
ejpam-4066	176	19	m−	m−	PROPN
ejpam-4066	176	20	1)m(m+	1)m(m+	PROPN
ejpam-4066	176	21	1	1	NUM
ejpam-4066	176	22	)	)	PUNCT
ejpam-4066	176	23	+	+	CCONJ
ejpam-4066	177	1	3(α−	3(α−	NUM
ejpam-4066	177	2	2)(m−	2)(m−	NUM
ejpam-4066	177	3	1)m	1)m	NUM
ejpam-4066	177	4	+	+	CCONJ
ejpam-4066	177	5	3(α−	3(α−	NUM
ejpam-4066	177	6	2)(α−	2)(α−	NUM
ejpam-4066	177	7	1)(m−	1)(m−	NUM
ejpam-4066	177	8	1	1	NUM
ejpam-4066	177	9	)	)	PUNCT
ejpam-4066	177	10	+	+	CCONJ
ejpam-4066	177	11	(	(	PUNCT
ejpam-4066	177	12	α−	α−	ADP
ejpam-4066	177	13	2)(α−	2)(α−	NUM
ejpam-4066	177	14	1)α	1)α	NUM
ejpam-4066	177	15	)	)	PUNCT
ejpam-4066	177	16	am−1	am−1	PROPN
ejpam-4066	177	17	um−4	um−4	PROPN
ejpam-4066	177	18	−	−	PROPN
ejpam-4066	177	19	·	·	PUNCT
ejpam-4066	177	20	·	·	PUNCT
ejpam-4066	177	21	·	·	PUNCT
ejpam-4066	178	1	−	−	PUNCT
ejpam-4066	178	2	(	(	PUNCT
ejpam-4066	178	3	6	6	NUM
ejpam-4066	178	4	+	+	SYM
ejpam-4066	178	5	6(α−	6(α−	NUM
ejpam-4066	178	6	2	2	NUM
ejpam-4066	178	7	)	)	PUNCT
ejpam-4066	178	8	+	+	CCONJ
ejpam-4066	178	9	3(α−	3(α−	NUM
ejpam-4066	178	10	2)(α−	2)(α−	NUM
ejpam-4066	178	11	1	1	NUM
ejpam-4066	178	12	)	)	PUNCT
ejpam-4066	178	13	+	+	CCONJ
ejpam-4066	178	14	(	(	PUNCT
ejpam-4066	178	15	α−	α−	ADP
ejpam-4066	178	16	2)(α−	2)(α−	NUM
ejpam-4066	178	17	1)α	1)α	NUM
ejpam-4066	178	18	)	)	PUNCT
ejpam-4066	178	19	a1	a1	NOUN
ejpam-4066	179	1	u−2	u−2	NOUN
ejpam-4066	179	2	−	−	PROPN
ejpam-4066	180	1	(	(	PUNCT
ejpam-4066	180	2	α−	α−	ADP
ejpam-4066	180	3	2)(α−	2)(α−	NUM
ejpam-4066	180	4	1)α	1)α	NUM
ejpam-4066	180	5	a0	a0	NOUN
ejpam-4066	180	6	u−3	u−3	PROPN
ejpam-4066	180	7	−	−	PROPN
ejpam-4066	180	8	(	(	PUNCT
ejpam-4066	180	9	m(m+	m(m+	VERB
ejpam-4066	180	10	1	1	NUM
ejpam-4066	180	11	)	)	PUNCT
ejpam-4066	180	12	+2(α−	+2(α−	NUM
ejpam-4066	180	13	1)m+	1)m+	NUM
ejpam-4066	180	14	(	(	PUNCT
ejpam-4066	180	15	α−	α−	NOUN
ejpam-4066	180	16	1)α	1)α	NUM
ejpam-4066	180	17	)	)	PUNCT
ejpam-4066	180	18	bm	bm	PROPN
ejpam-4066	181	1	um−2	um−2	PROPN
ejpam-4066	181	2	+	+	CCONJ
ejpam-4066	181	3	(	(	PUNCT
ejpam-4066	181	4	(	(	PUNCT
ejpam-4066	181	5	m−	m−	PROPN
ejpam-4066	181	6	1)m+	1)m+	NUM
ejpam-4066	181	7	2(α−	2(α−	NUM
ejpam-4066	181	8	1)(m−	1)(m−	NUM
ejpam-4066	181	9	1	1	NUM
ejpam-4066	181	10	)	)	PUNCT
ejpam-4066	181	11	+	+	CCONJ
ejpam-4066	181	12	(	(	PUNCT
ejpam-4066	181	13	α−	α−	ADP
ejpam-4066	181	14	1)α	1)α	NUM
ejpam-4066	181	15	)	)	PUNCT
ejpam-4066	181	16	bm−1	bm−1	NOUN
ejpam-4066	181	17	um−3	um−3	PROPN
ejpam-4066	181	18	+	+	CCONJ
ejpam-4066	181	19	·	·	PUNCT
ejpam-4066	181	20	·	·	PUNCT
ejpam-4066	181	21	·	·	PUNCT
ejpam-4066	182	1	+	+	CCONJ
ejpam-4066	182	2	(	(	PUNCT
ejpam-4066	182	3	2	2	NUM
ejpam-4066	182	4	+	+	SYM
ejpam-4066	182	5	2(α−	2(α−	NUM
ejpam-4066	182	6	1	1	NUM
ejpam-4066	182	7	)	)	PUNCT
ejpam-4066	182	8	+	+	CCONJ
ejpam-4066	182	9	(	(	PUNCT
ejpam-4066	182	10	α−	α−	ADP
ejpam-4066	182	11	1)α	1)α	NUM
ejpam-4066	182	12	)	)	PUNCT
ejpam-4066	182	13	b1	b1	VERB
ejpam-4066	182	14	u−1	u−1	PROPN
ejpam-4066	182	15	+	+	CCONJ
ejpam-4066	182	16	(	(	PUNCT
ejpam-4066	182	17	α−	α−	ADP
ejpam-4066	182	18	1)α	1)α	NUM
ejpam-4066	182	19	b0	b0	VERB
ejpam-4066	182	20	u−2	u−2	PROPN
ejpam-4066	182	21	−	−	PROPN
ejpam-4066	183	1	(	(	PUNCT
ejpam-4066	183	2	m+	m+	NUM
ejpam-4066	183	3	α	α	NOUN
ejpam-4066	183	4	)	)	PUNCT
ejpam-4066	183	5	cm	cm	NOUN
ejpam-4066	183	6	um−1	um−1	PROPN
ejpam-4066	183	7	−	−	PROPN
ejpam-4066	184	1	(	(	PUNCT
ejpam-4066	184	2	m+	m+	NUM
ejpam-4066	184	3	α−	α−	ADP
ejpam-4066	184	4	1	1	NUM
ejpam-4066	184	5	)	)	PUNCT
ejpam-4066	184	6	cm−1	cm−1	VERB
ejpam-4066	184	7	um−2	um−2	PROPN
ejpam-4066	184	8	−	−	PROPN
ejpam-4066	184	9	·	·	PUNCT
ejpam-4066	184	10	·	·	PUNCT
ejpam-4066	184	11	·	·	PUNCT
ejpam-4066	185	1	−	−	PUNCT
ejpam-4066	185	2	(	(	PUNCT
ejpam-4066	185	3	α+	α+	NOUN
ejpam-4066	185	4	1	1	NUM
ejpam-4066	185	5	)	)	PUNCT
ejpam-4066	185	6	c1	c1	NOUN
ejpam-4066	185	7	u0	u0	NOUN
ejpam-4066	185	8	−	−	PROPN
ejpam-4066	186	1	α	α	PROPN
ejpam-4066	186	2	c0	c0	NOUN
ejpam-4066	186	3	u−1	u−1	PROPN
ejpam-4066	186	4	+	+	CCONJ
ejpam-4066	186	5	dm	dm	INTJ
ejpam-4066	186	6	um	um	INTJ
ejpam-4066	186	7	+	+	NUM
ejpam-4066	186	8	dm−1	dm−1	PROPN
ejpam-4066	186	9	um−1	um−1	NOUN
ejpam-4066	186	10	+	+	CCONJ
ejpam-4066	186	11	·	·	PUNCT
ejpam-4066	186	12	·	·	PUNCT
ejpam-4066	186	13	·	·	PUNCT
ejpam-4066	186	14	+	+	NUM
ejpam-4066	186	15	d1	d1	ADJ
ejpam-4066	186	16	u1	u1	NOUN
ejpam-4066	186	17	+	+	CCONJ
ejpam-4066	186	18	d0	d0	PROPN
ejpam-4066	186	19	u0	u0	X
ejpam-4066	186	20	]	]	X
ejpam-4066	186	21	f	f	X
ejpam-4066	186	22	(	(	PUNCT
ejpam-4066	186	23	u	u	NOUN
ejpam-4066	186	24	)	)	PUNCT
ejpam-4066	186	25	=	=	SYM
ejpam-4066	186	26	gα{g(t	gα{g(t	NOUN
ejpam-4066	186	27	)	)	PUNCT
ejpam-4066	186	28	}	}	PUNCT
ejpam-4066	186	29	−	−	PROPN
ejpam-4066	186	30	r(u	r(u	PROPN
ejpam-4066	186	31	)	)	PUNCT
ejpam-4066	186	32	,	,	PUNCT
ejpam-4066	186	33	where	where	SCONJ
ejpam-4066	186	34	r(u	r(u	PROPN
ejpam-4066	186	35	)	)	PUNCT
ejpam-4066	186	36	be	be	AUX
ejpam-4066	186	37	contained	contain	VERB
ejpam-4066	186	38	in	in	ADP
ejpam-4066	186	39	some	some	DET
ejpam-4066	186	40	expressions	expression	NOUN
ejpam-4066	186	41	that	that	PRON
ejpam-4066	186	42	are	be	AUX
ejpam-4066	186	43	started	start	VERB
ejpam-4066	186	44	by	by	ADP
ejpam-4066	186	45	summation	summation	NOUN
ejpam-4066	186	46	and	and	CCONJ
ejpam-4066	186	47	do	do	AUX
ejpam-4066	186	48	not	not	PART
ejpam-4066	186	49	influence	influence	VERB
ejpam-4066	186	50	the	the	DET
ejpam-4066	186	51	proof	proof	NOUN
ejpam-4066	186	52	steps	step	NOUN
ejpam-4066	186	53	.	.	PUNCT
ejpam-4066	187	1	by	by	ADP
ejpam-4066	187	2	using	use	VERB
ejpam-4066	187	3	the	the	DET
ejpam-4066	187	4	previous	previous	ADJ
ejpam-4066	187	5	results	result	NOUN
ejpam-4066	187	6	,	,	PUNCT
ejpam-4066	187	7	which	which	PRON
ejpam-4066	187	8	similar	similar	ADJ
ejpam-4066	187	9	to	to	ADP
ejpam-4066	187	10	the	the	DET
ejpam-4066	187	11	theorem	theorem	NOUN
ejpam-4066	187	12	1	1	NUM
ejpam-4066	187	13	,	,	PUNCT
ejpam-4066	187	14	we	we	PRON
ejpam-4066	187	15	know	know	VERB
ejpam-4066	187	16	that	that	SCONJ
ejpam-4066	187	17	the	the	DET
ejpam-4066	187	18	coefficients	coefficient	NOUN
ejpam-4066	187	19	of	of	ADP
ejpam-4066	187	20	f	f	PROPN
ejpam-4066	187	21	(	(	PUNCT
ejpam-4066	187	22	u	u	NOUN
ejpam-4066	187	23	)	)	PUNCT
ejpam-4066	187	24	,	,	PUNCT
ejpam-4066	187	25	f	f	PROPN
ejpam-4066	187	26	′(u	′(u	NOUN
ejpam-4066	187	27	)	)	PUNCT
ejpam-4066	187	28	and	and	CCONJ
ejpam-4066	187	29	f	f	PROPN
ejpam-4066	187	30	′′(u	′′(u	PROPN
ejpam-4066	187	31	)	)	PUNCT
ejpam-4066	187	32	should	should	AUX
ejpam-4066	187	33	be	be	AUX
ejpam-4066	187	34	equal	equal	ADJ
ejpam-4066	187	35	to	to	ADP
ejpam-4066	187	36	zero	zero	NUM
ejpam-4066	187	37	,	,	PUNCT
ejpam-4066	187	38	by	by	ADP
ejpam-4066	187	39	the	the	DET
ejpam-4066	187	40	same	same	ADJ
ejpam-4066	187	41	process	process	NOUN
ejpam-4066	187	42	as	as	ADP
ejpam-4066	187	43	theorem	theorem	NOUN
ejpam-4066	187	44	1	1	NUM
ejpam-4066	187	45	,	,	PUNCT
ejpam-4066	187	46	we	we	PRON
ejpam-4066	187	47	can	can	AUX
ejpam-4066	187	48	show	show	VERB
ejpam-4066	187	49	that	that	SCONJ
ejpam-4066	187	50	dm	dm	NOUN
ejpam-4066	187	51	=	=	PUNCT
ejpam-4066	187	52	cm	cm	NOUN
ejpam-4066	187	53	=	=	SYM
ejpam-4066	187	54	bm	bm	PROPN
ejpam-4066	187	55	=	=	SYM
ejpam-4066	187	56	dm−1	dm−1	PROPN
ejpam-4066	187	57	=	=	SYM
ejpam-4066	187	58	cm−1	cm−1	NOUN
ejpam-4066	187	59	=	=	SYM
ejpam-4066	187	60	dm−2	dm−2	PROPN
ejpam-4066	187	61	=	=	SYM
ejpam-4066	187	62	0	0	NUM
ejpam-4066	187	63	,	,	PUNCT
ejpam-4066	187	64	(	(	PUNCT
ejpam-4066	187	65	α−	α−	ADP
ejpam-4066	187	66	2)(α−	2)(α−	NUM
ejpam-4066	187	67	1)αa0	1)αa0	NUM
ejpam-4066	187	68	=	=	SYM
ejpam-4066	188	1	3(α−	3(α−	NUM
ejpam-4066	188	2	2)(α−	2)(α−	NUM
ejpam-4066	188	3	1)a0	1)a0	NOUN
ejpam-4066	188	4	=	=	SYM
ejpam-4066	188	5	3(α−	3(α−	NUM
ejpam-4066	188	6	2)a0	2)a0	NUM
ejpam-4066	188	7	=	=	SYM
ejpam-4066	188	8	0	0	PROPN
ejpam-4066	188	9	,	,	PUNCT
ejpam-4066	188	10	αc0	αc0	NOUN
ejpam-4066	188	11	−	−	NOUN
ejpam-4066	189	1	[	[	X
ejpam-4066	189	2	2	2	NUM
ejpam-4066	189	3	+	+	SYM
ejpam-4066	189	4	2(α−	2(α−	NUM
ejpam-4066	189	5	1	1	NUM
ejpam-4066	189	6	)	)	PUNCT
ejpam-4066	189	7	+	+	CCONJ
ejpam-4066	189	8	(	(	PUNCT
ejpam-4066	189	9	α−	α−	ADP
ejpam-4066	189	10	1)α]b1	1)α]b1	NUM
ejpam-4066	190	1	+	+	NOUN
ejpam-4066	191	1	[	[	X
ejpam-4066	191	2	24	24	NUM
ejpam-4066	191	3	+	+	NUM
ejpam-4066	191	4	18(α−	18(α−	NUM
ejpam-4066	191	5	2	2	NUM
ejpam-4066	191	6	)	)	PUNCT
ejpam-4066	191	7	+	+	NUM
ejpam-4066	192	1	6(α−	6(α−	NUM
ejpam-4066	192	2	2)(α−	2)(α−	NUM
ejpam-4066	192	3	1	1	NUM
ejpam-4066	192	4	)	)	PUNCT
ejpam-4066	192	5	+	+	CCONJ
ejpam-4066	192	6	(	(	PUNCT
ejpam-4066	192	7	α−	α−	ADP
ejpam-4066	192	8	2)(α−	2)(α−	NUM
ejpam-4066	192	9	1)α]a2	1)α]a2	NUM
ejpam-4066	192	10	=	=	SYM
ejpam-4066	192	11	0	0	PROPN
ejpam-4066	192	12	,	,	PUNCT
ejpam-4066	192	13	(	(	PUNCT
ejpam-4066	192	14	α−	α−	ADP
ejpam-4066	192	15	1)αb0	1)αb0	NUM
ejpam-4066	192	16	−	−	NOUN
ejpam-4066	193	1	[	[	X
ejpam-4066	193	2	6	6	NUM
ejpam-4066	193	3	+	+	NUM
ejpam-4066	193	4	6(α−	6(α−	NUM
ejpam-4066	193	5	2	2	NUM
ejpam-4066	193	6	)	)	PUNCT
ejpam-4066	193	7	+	+	CCONJ
ejpam-4066	193	8	3(α−	3(α−	NUM
ejpam-4066	193	9	2)(α−	2)(α−	NUM
ejpam-4066	193	10	1	1	NUM
ejpam-4066	193	11	)	)	PUNCT
ejpam-4066	193	12	+	+	CCONJ
ejpam-4066	193	13	(	(	PUNCT
ejpam-4066	193	14	α−	α−	ADP
ejpam-4066	193	15	2)(α−	2)(α−	NUM
ejpam-4066	193	16	1)α]a1	1)α]a1	NUM
ejpam-4066	193	17	=	=	SYM
ejpam-4066	193	18	0	0	NUM
ejpam-4066	193	19	,	,	PUNCT
ejpam-4066	193	20	2(α−	2(α−	NUM
ejpam-4066	193	21	1)b0	1)b0	NUM
ejpam-4066	193	22	−	−	PUNCT
ejpam-4066	194	1	[	[	X
ejpam-4066	194	2	6	6	NUM
ejpam-4066	194	3	+	+	NUM
ejpam-4066	194	4	6(α−	6(α−	NUM
ejpam-4066	194	5	2	2	NUM
ejpam-4066	194	6	)	)	PUNCT
ejpam-4066	194	7	+	+	CCONJ
ejpam-4066	194	8	3(α−	3(α−	NUM
ejpam-4066	194	9	2)(α−	2)(α−	NUM
ejpam-4066	194	10	1)]a1	1)]a1	NUM
ejpam-4066	194	11	=	=	SYM
ejpam-4066	194	12	0	0	NUM
ejpam-4066	194	13	,	,	PUNCT
ejpam-4066	194	14	di−3	di−3	NOUN
ejpam-4066	194	15	−	−	PROPN
ejpam-4066	194	16	(	(	PUNCT
ejpam-4066	194	17	α+	α+	X
ejpam-4066	194	18	i−	i−	PROPN
ejpam-4066	194	19	2)ci−2	2)ci−2	PROPN
ejpam-4066	194	20	+	+	X
ejpam-4066	195	1	[	[	X
ejpam-4066	195	2	(	(	PUNCT
ejpam-4066	195	3	i−	i−	PROPN
ejpam-4066	195	4	1)i+	1)i+	NUM
ejpam-4066	195	5	2(α−	2(α−	NUM
ejpam-4066	195	6	1)(i−	1)(i−	NUM
ejpam-4066	195	7	1	1	NUM
ejpam-4066	195	8	)	)	PUNCT
ejpam-4066	195	9	+	+	CCONJ
ejpam-4066	195	10	(	(	PUNCT
ejpam-4066	195	11	α−	α−	ADP
ejpam-4066	195	12	1)α]bi−1	1)α]bi−1	NUM
ejpam-4066	195	13	−[i(i+	−[i(i+	PROPN
ejpam-4066	195	14	1)(i+	1)(i+	NUM
ejpam-4066	195	15	2	2	NUM
ejpam-4066	195	16	)	)	PUNCT
ejpam-4066	195	17	+	+	CCONJ
ejpam-4066	195	18	3(α−	3(α−	NUM
ejpam-4066	195	19	2)i(i+	2)i(i+	NUM
ejpam-4066	195	20	1	1	NUM
ejpam-4066	195	21	)	)	PUNCT
ejpam-4066	195	22	+	+	CCONJ
ejpam-4066	195	23	3(α−	3(α−	NUM
ejpam-4066	195	24	2)(α−	2)(α−	NUM
ejpam-4066	195	25	1)i+	1)i+	NUM
ejpam-4066	195	26	(	(	PUNCT
ejpam-4066	195	27	α−	α−	ADP
ejpam-4066	195	28	2)(α−	2)(α−	NUM
ejpam-4066	195	29	1)α]ai	1)α]ai	NUM
ejpam-4066	195	30	=	=	SYM
ejpam-4066	195	31	0	0	NUM
ejpam-4066	195	32	for	for	ADP
ejpam-4066	195	33	i	i	PRON
ejpam-4066	195	34	=	=	SYM
ejpam-4066	195	35	3	3	NUM
ejpam-4066	195	36	,	,	PUNCT
ejpam-4066	195	37	4	4	NUM
ejpam-4066	195	38	,	,	PUNCT
ejpam-4066	195	39	5	5	NUM
ejpam-4066	195	40	,	,	PUNCT
ejpam-4066	195	41	.	.	PUNCT
ejpam-4066	195	42	.	.	PUNCT
ejpam-4066	195	43	.	.	PUNCT
ejpam-4066	196	1	,	,	PUNCT
ejpam-4066	196	2	m	m	PROPN
ejpam-4066	196	3	,	,	PUNCT
ejpam-4066	196	4	ci−2	ci−2	PROPN
ejpam-4066	196	5	−	−	PROPN
ejpam-4066	196	6	2(α+	2(α+	NUM
ejpam-4066	196	7	i−	i−	PROPN
ejpam-4066	196	8	2)bi−1	2)bi−1	PROPN
ejpam-4066	196	9	+	+	PUNCT
ejpam-4066	197	1	[	[	X
ejpam-4066	197	2	3i(i+	3i(i+	NUM
ejpam-4066	197	3	1	1	NUM
ejpam-4066	197	4	)	)	PUNCT
ejpam-4066	197	5	+	+	CCONJ
ejpam-4066	197	6	6(α−	6(α−	NUM
ejpam-4066	197	7	2)i+	2)i+	NUM
ejpam-4066	197	8	3(α−	3(α−	NUM
ejpam-4066	197	9	2)(α−	2)(α−	NUM
ejpam-4066	197	10	1)]ai	1)]ai	NUM
ejpam-4066	197	11	=	=	SYM
ejpam-4066	197	12	0	0	NUM
ejpam-4066	197	13	for	for	ADP
ejpam-4066	197	14	i	i	PRON
ejpam-4066	197	15	=	=	SYM
ejpam-4066	197	16	2	2	NUM
ejpam-4066	197	17	,	,	PUNCT
ejpam-4066	197	18	3	3	NUM
ejpam-4066	197	19	,	,	PUNCT
ejpam-4066	197	20	4	4	NUM
ejpam-4066	197	21	,	,	PUNCT
ejpam-4066	197	22	.	.	PUNCT
ejpam-4066	197	23	.	.	PUNCT
ejpam-4066	197	24	.	.	PUNCT
ejpam-4066	198	1	,	,	PUNCT
ejpam-4066	198	2	m	m	PROPN
ejpam-4066	198	3	,	,	PUNCT
ejpam-4066	198	4	and	and	CCONJ
ejpam-4066	198	5	bi−1	bi−1	PROPN
ejpam-4066	198	6	−	−	PROPN
ejpam-4066	198	7	3(α	3(α	NUM
ejpam-4066	199	1	+	+	CCONJ
ejpam-4066	199	2	i	i	PRON
ejpam-4066	199	3	−	−	PROPN
ejpam-4066	199	4	2)ai	2)ai	NUM
ejpam-4066	199	5	=	=	SYM
ejpam-4066	199	6	0	0	NUM
ejpam-4066	200	1	for	for	ADP
ejpam-4066	200	2	i	i	PRON
ejpam-4066	200	3	=	=	NOUN
ejpam-4066	200	4	1	1	NUM
ejpam-4066	200	5	,	,	PUNCT
ejpam-4066	200	6	2	2	NUM
ejpam-4066	200	7	,	,	PUNCT
ejpam-4066	200	8	3	3	NUM
ejpam-4066	200	9	,	,	PUNCT
ejpam-4066	200	10	.	.	PUNCT
ejpam-4066	200	11	.	.	PUNCT
ejpam-4066	200	12	.	.	PUNCT
ejpam-4066	201	1	,	,	PUNCT
ejpam-4066	201	2	m.	m.	NOUN
ejpam-4066	201	3	the	the	DET
ejpam-4066	201	4	proof	proof	NOUN
ejpam-4066	201	5	is	be	AUX
ejpam-4066	201	6	completed	complete	VERB
ejpam-4066	201	7	.	.	PUNCT
ejpam-4066	202	1	s.	s.	PROPN
ejpam-4066	202	2	sattaso	sattaso	PROPN
ejpam-4066	202	3	et	et	PROPN
ejpam-4066	202	4	al	al	PROPN
ejpam-4066	202	5	.	.	PUNCT
ejpam-4066	202	6	/	/	SYM
ejpam-4066	202	7	eur	eur	PROPN
ejpam-4066	202	8	.	.	PUNCT
ejpam-4066	203	1	j.	j.	PROPN
ejpam-4066	203	2	pure	pure	PROPN
ejpam-4066	203	3	appl	appl	PROPN
ejpam-4066	203	4	.	.	PROPN
ejpam-4066	203	5	math	math	PROPN
ejpam-4066	203	6	,	,	PUNCT
ejpam-4066	203	7	14	14	NUM
ejpam-4066	203	8	(	(	PUNCT
ejpam-4066	203	9	4	4	NUM
ejpam-4066	203	10	)	)	PUNCT
ejpam-4066	203	11	(	(	PUNCT
ejpam-4066	203	12	2021	2021	NUM
ejpam-4066	203	13	)	)	PUNCT
ejpam-4066	203	14	,	,	PUNCT
ejpam-4066	203	15	1184	1184	NUM
ejpam-4066	203	16	-	-	SYM
ejpam-4066	203	17	1199	1199	NUM
ejpam-4066	203	18	1192	1192	NUM
ejpam-4066	203	19	remark	remark	NOUN
ejpam-4066	203	20	3	3	NUM
ejpam-4066	203	21	.	.	PROPN
ejpam-4066	203	22	from	from	ADP
ejpam-4066	203	23	theorem	theorem	ADJ
ejpam-4066	203	24	2	2	NUM
ejpam-4066	203	25	,	,	PUNCT
ejpam-4066	203	26	if	if	SCONJ
ejpam-4066	203	27	g(t	g(t	PROPN
ejpam-4066	203	28	)	)	PUNCT
ejpam-4066	204	1	=	=	SYM
ejpam-4066	204	2	0	0	NUM
ejpam-4066	204	3	,	,	PUNCT
ejpam-4066	204	4	we	we	PRON
ejpam-4066	204	5	can	can	AUX
ejpam-4066	204	6	just	just	ADV
ejpam-4066	204	7	set	set	VERB
ejpam-4066	204	8	the	the	DET
ejpam-4066	204	9	coefficient	coefficient	NOUN
ejpam-4066	204	10	of	of	ADP
ejpam-4066	204	11	f	f	PROPN
ejpam-4066	204	12	(	(	PUNCT
ejpam-4066	204	13	u	u	NOUN
ejpam-4066	204	14	)	)	PUNCT
ejpam-4066	204	15	equal	equal	ADJ
ejpam-4066	204	16	to	to	ADP
ejpam-4066	204	17	zero	zero	NUM
ejpam-4066	204	18	and	and	CCONJ
ejpam-4066	204	19	f	f	PROPN
ejpam-4066	204	20	′(u	′(u	NOUN
ejpam-4066	204	21	)	)	PUNCT
ejpam-4066	204	22	equal	equal	ADJ
ejpam-4066	204	23	to	to	ADP
ejpam-4066	204	24	zero	zero	NUM
ejpam-4066	204	25	to	to	PART
ejpam-4066	204	26	reduce	reduce	VERB
ejpam-4066	204	27	conditions	condition	NOUN
ejpam-4066	204	28	.	.	PUNCT
ejpam-4066	205	1	therefore	therefore	ADV
ejpam-4066	205	2	,	,	PUNCT
ejpam-4066	205	3	the	the	DET
ejpam-4066	205	4	gα	gα	NOUN
ejpam-4066	205	5	-	-	PUNCT
ejpam-4066	205	6	transform	transform	NOUN
ejpam-4066	205	7	is	be	AUX
ejpam-4066	205	8	a	a	DET
ejpam-4066	205	9	suitable	suitable	ADJ
ejpam-4066	205	10	method	method	NOUN
ejpam-4066	205	11	for	for	ADP
ejpam-4066	205	12	solving	solve	VERB
ejpam-4066	205	13	equation	equation	NOUN
ejpam-4066	205	14	(	(	PUNCT
ejpam-4066	205	15	4	4	NUM
ejpam-4066	205	16	)	)	PUNCT
ejpam-4066	205	17	,	,	PUNCT
ejpam-4066	205	18	if	if	SCONJ
ejpam-4066	205	19	dm	dm	NUM
ejpam-4066	205	20	=	=	SYM
ejpam-4066	205	21	cm	cm	NOUN
ejpam-4066	205	22	=	=	SYM
ejpam-4066	205	23	dm−1	dm−1	NOUN
ejpam-4066	205	24	=	=	SYM
ejpam-4066	205	25	cm−1	cm−1	NOUN
ejpam-4066	205	26	−	−	NOUN
ejpam-4066	205	27	2(α+m−	2(α+m−	NUM
ejpam-4066	206	1	1)bm	1)bm	NUM
ejpam-4066	206	2	=	=	SYM
ejpam-4066	206	3	0	0	NUM
ejpam-4066	206	4	,	,	PUNCT
ejpam-4066	206	5	dm−2	dm−2	PROPN
ejpam-4066	206	6	−	−	PROPN
ejpam-4066	206	7	(	(	PUNCT
ejpam-4066	206	8	α+m−	α+m−	PROPN
ejpam-4066	206	9	1)cm−1	1)cm−1	PROPN
ejpam-4066	207	1	+	+	CCONJ
ejpam-4066	207	2	[	[	X
ejpam-4066	207	3	m(m+	m(m+	NUM
ejpam-4066	207	4	1	1	NUM
ejpam-4066	207	5	)	)	PUNCT
ejpam-4066	208	1	+	+	CCONJ
ejpam-4066	209	1	2(α−	2(α−	NUM
ejpam-4066	209	2	1)m+	1)m+	NUM
ejpam-4066	209	3	(	(	PUNCT
ejpam-4066	209	4	α−	α−	ADP
ejpam-4066	209	5	1)α]bm	1)α]bm	NUM
ejpam-4066	209	6	=	=	SYM
ejpam-4066	209	7	0	0	NUM
ejpam-4066	209	8	,	,	PUNCT
ejpam-4066	209	9	(	(	PUNCT
ejpam-4066	209	10	α−	α−	ADP
ejpam-4066	209	11	2)(α−	2)(α−	NUM
ejpam-4066	209	12	1)αa0	1)αa0	NUM
ejpam-4066	209	13	=	=	SYM
ejpam-4066	209	14	3(α−	3(α−	NUM
ejpam-4066	209	15	2)(α−	2)(α−	NUM
ejpam-4066	209	16	1)a0	1)a0	NOUN
ejpam-4066	209	17	=	=	SYM
ejpam-4066	209	18	0	0	NUM
ejpam-4066	209	19	,	,	PUNCT
ejpam-4066	209	20	αc0	αc0	NOUN
ejpam-4066	209	21	−	−	NOUN
ejpam-4066	210	1	[	[	X
ejpam-4066	210	2	2	2	NUM
ejpam-4066	210	3	+	+	SYM
ejpam-4066	210	4	2(α−	2(α−	NUM
ejpam-4066	210	5	1	1	NUM
ejpam-4066	210	6	)	)	PUNCT
ejpam-4066	210	7	+	+	CCONJ
ejpam-4066	210	8	(	(	PUNCT
ejpam-4066	210	9	α−	α−	ADP
ejpam-4066	210	10	1)α]b1	1)α]b1	NUM
ejpam-4066	210	11	+	+	CCONJ
ejpam-4066	210	12	[	[	PUNCT
ejpam-4066	210	13	24	24	NUM
ejpam-4066	210	14	+	+	NUM
ejpam-4066	210	15	18(α−	18(α−	NUM
ejpam-4066	210	16	2	2	NUM
ejpam-4066	210	17	)	)	PUNCT
ejpam-4066	210	18	+	+	NUM
ejpam-4066	211	1	6(α−	6(α−	NUM
ejpam-4066	211	2	2)(α−	2)(α−	NUM
ejpam-4066	211	3	1	1	NUM
ejpam-4066	211	4	)	)	PUNCT
ejpam-4066	211	5	+	+	CCONJ
ejpam-4066	211	6	(	(	PUNCT
ejpam-4066	211	7	α−	α−	ADP
ejpam-4066	211	8	2)(α−	2)(α−	NUM
ejpam-4066	211	9	1)α]a2	1)α]a2	NUM
ejpam-4066	211	10	=	=	SYM
ejpam-4066	211	11	0	0	PROPN
ejpam-4066	211	12	,	,	PUNCT
ejpam-4066	211	13	(	(	PUNCT
ejpam-4066	211	14	α−	α−	ADP
ejpam-4066	211	15	1)αb0	1)αb0	NUM
ejpam-4066	211	16	−	−	NOUN
ejpam-4066	212	1	[	[	X
ejpam-4066	212	2	6	6	NUM
ejpam-4066	212	3	+	+	NUM
ejpam-4066	212	4	6(α−	6(α−	NUM
ejpam-4066	212	5	2	2	NUM
ejpam-4066	212	6	)	)	PUNCT
ejpam-4066	212	7	+	+	CCONJ
ejpam-4066	212	8	3(α−	3(α−	NUM
ejpam-4066	212	9	2)(α−	2)(α−	NUM
ejpam-4066	212	10	1	1	NUM
ejpam-4066	212	11	)	)	PUNCT
ejpam-4066	212	12	+	+	CCONJ
ejpam-4066	212	13	(	(	PUNCT
ejpam-4066	212	14	α−	α−	ADP
ejpam-4066	212	15	2)(α−	2)(α−	NUM
ejpam-4066	212	16	1)α]a1	1)α]a1	NUM
ejpam-4066	212	17	=	=	SYM
ejpam-4066	212	18	0	0	NUM
ejpam-4066	212	19	,	,	PUNCT
ejpam-4066	212	20	2(α−	2(α−	NUM
ejpam-4066	212	21	1)b0	1)b0	NUM
ejpam-4066	212	22	−	−	PUNCT
ejpam-4066	213	1	[	[	X
ejpam-4066	213	2	6	6	NUM
ejpam-4066	213	3	+	+	NUM
ejpam-4066	213	4	6(α−	6(α−	NUM
ejpam-4066	213	5	2	2	NUM
ejpam-4066	213	6	)	)	PUNCT
ejpam-4066	213	7	+	+	CCONJ
ejpam-4066	213	8	3(α−	3(α−	NUM
ejpam-4066	213	9	2)(α−	2)(α−	NUM
ejpam-4066	213	10	1)]a1	1)]a1	NUM
ejpam-4066	213	11	=	=	SYM
ejpam-4066	213	12	0	0	NUM
ejpam-4066	213	13	,	,	PUNCT
ejpam-4066	213	14	di−3	di−3	NOUN
ejpam-4066	213	15	−	−	PROPN
ejpam-4066	213	16	(	(	PUNCT
ejpam-4066	213	17	α+	α+	X
ejpam-4066	213	18	i−	i−	PROPN
ejpam-4066	213	19	2)ci−2	2)ci−2	PROPN
ejpam-4066	213	20	+	+	X
ejpam-4066	214	1	[	[	X
ejpam-4066	214	2	(	(	PUNCT
ejpam-4066	214	3	i−	i−	PROPN
ejpam-4066	214	4	1)i+	1)i+	NUM
ejpam-4066	214	5	2(α−	2(α−	NUM
ejpam-4066	214	6	1)(i−	1)(i−	NUM
ejpam-4066	214	7	1	1	NUM
ejpam-4066	214	8	)	)	PUNCT
ejpam-4066	214	9	+	+	CCONJ
ejpam-4066	214	10	(	(	PUNCT
ejpam-4066	214	11	α−	α−	ADP
ejpam-4066	214	12	1)α]bi−1	1)α]bi−1	NUM
ejpam-4066	214	13	−[i(i+	−[i(i+	PROPN
ejpam-4066	214	14	1)(i+	1)(i+	NUM
ejpam-4066	214	15	2	2	NUM
ejpam-4066	214	16	)	)	PUNCT
ejpam-4066	214	17	+	+	CCONJ
ejpam-4066	214	18	3(α−	3(α−	NUM
ejpam-4066	214	19	2)i(i+	2)i(i+	NUM
ejpam-4066	214	20	1	1	NUM
ejpam-4066	214	21	)	)	PUNCT
ejpam-4066	214	22	+	+	CCONJ
ejpam-4066	214	23	3(α−	3(α−	NUM
ejpam-4066	214	24	2)(α−	2)(α−	NUM
ejpam-4066	214	25	1)i+	1)i+	NUM
ejpam-4066	214	26	(	(	PUNCT
ejpam-4066	214	27	α−	α−	ADP
ejpam-4066	214	28	2)(α−	2)(α−	NUM
ejpam-4066	214	29	1)α]ai	1)α]ai	NUM
ejpam-4066	214	30	=	=	SYM
ejpam-4066	214	31	0	0	NUM
ejpam-4066	214	32	for	for	ADP
ejpam-4066	214	33	i	i	PRON
ejpam-4066	214	34	=	=	SYM
ejpam-4066	214	35	3	3	NUM
ejpam-4066	214	36	,	,	PUNCT
ejpam-4066	214	37	4	4	NUM
ejpam-4066	214	38	,	,	PUNCT
ejpam-4066	214	39	5	5	NUM
ejpam-4066	214	40	,	,	PUNCT
ejpam-4066	214	41	.	.	PUNCT
ejpam-4066	214	42	.	.	PUNCT
ejpam-4066	214	43	.	.	PUNCT
ejpam-4066	215	1	,	,	PUNCT
ejpam-4066	215	2	m	m	PROPN
ejpam-4066	215	3	,	,	PUNCT
ejpam-4066	215	4	and	and	CCONJ
ejpam-4066	215	5	ci−2	ci−2	PROPN
ejpam-4066	215	6	−	−	PROPN
ejpam-4066	215	7	2(α+	2(α+	NUM
ejpam-4066	215	8	i−	i−	PROPN
ejpam-4066	215	9	2)bi−1	2)bi−1	PROPN
ejpam-4066	215	10	+	+	PUNCT
ejpam-4066	216	1	[	[	X
ejpam-4066	216	2	3i(i+	3i(i+	NUM
ejpam-4066	216	3	1	1	NUM
ejpam-4066	216	4	)	)	PUNCT
ejpam-4066	216	5	+	+	CCONJ
ejpam-4066	216	6	6(α−	6(α−	NUM
ejpam-4066	216	7	2)i+	2)i+	NUM
ejpam-4066	216	8	3(α−	3(α−	NUM
ejpam-4066	216	9	2)(α−	2)(α−	NUM
ejpam-4066	216	10	1)]ai	1)]ai	NUM
ejpam-4066	216	11	=	=	SYM
ejpam-4066	216	12	0	0	NUM
ejpam-4066	216	13	for	for	ADP
ejpam-4066	216	14	i	i	PRON
ejpam-4066	216	15	=	=	SYM
ejpam-4066	216	16	2	2	NUM
ejpam-4066	216	17	,	,	PUNCT
ejpam-4066	216	18	3	3	NUM
ejpam-4066	216	19	,	,	PUNCT
ejpam-4066	216	20	4	4	NUM
ejpam-4066	216	21	,	,	PUNCT
ejpam-4066	216	22	.	.	PUNCT
ejpam-4066	216	23	.	.	PUNCT
ejpam-4066	216	24	.	.	PUNCT
ejpam-4066	217	1	,	,	PUNCT
ejpam-4066	217	2	m.	m.	NOUN
ejpam-4066	217	3	4	4	NUM
ejpam-4066	217	4	.	.	PUNCT
ejpam-4066	217	5	examples	example	NOUN
ejpam-4066	217	6	in	in	ADP
ejpam-4066	217	7	this	this	DET
ejpam-4066	217	8	section	section	NOUN
ejpam-4066	217	9	,	,	PUNCT
ejpam-4066	217	10	we	we	PRON
ejpam-4066	217	11	show	show	VERB
ejpam-4066	217	12	the	the	DET
ejpam-4066	217	13	usage	usage	NOUN
ejpam-4066	217	14	of	of	ADP
ejpam-4066	217	15	gα	gα	NOUN
ejpam-4066	217	16	-	-	PUNCT
ejpam-4066	217	17	transform	transform	NOUN
ejpam-4066	217	18	for	for	ADP
ejpam-4066	217	19	solving	solve	VERB
ejpam-4066	217	20	the	the	DET
ejpam-4066	217	21	ordinary	ordinary	ADJ
ejpam-4066	217	22	differential	differential	ADJ
ejpam-4066	217	23	equations	equation	NOUN
ejpam-4066	217	24	with	with	ADP
ejpam-4066	217	25	variable	variable	ADJ
ejpam-4066	217	26	coefficients	coefficient	NOUN
ejpam-4066	217	27	that	that	SCONJ
ejpam-4066	217	28	according	accord	VERB
ejpam-4066	217	29	to	to	ADP
ejpam-4066	217	30	theorem	theorem	ADJ
ejpam-4066	217	31	1	1	NUM
ejpam-4066	217	32	and	and	CCONJ
ejpam-4066	217	33	theorem	theorem	VERB
ejpam-4066	217	34	2	2	NUM
ejpam-4066	217	35	via	via	ADP
ejpam-4066	217	36	some	some	DET
ejpam-4066	217	37	examples	example	NOUN
ejpam-4066	217	38	.	.	PUNCT
ejpam-4066	218	1	example	example	NOUN
ejpam-4066	219	1	1	1	NUM
ejpam-4066	219	2	.	.	X
ejpam-4066	219	3	consider	consider	VERB
ejpam-4066	219	4	the	the	DET
ejpam-4066	219	5	ordinary	ordinary	ADJ
ejpam-4066	219	6	differential	differential	ADJ
ejpam-4066	219	7	equation	equation	NOUN
ejpam-4066	219	8	with	with	ADP
ejpam-4066	219	9	variable	variable	ADJ
ejpam-4066	219	10	coefficients	coefficient	NOUN
ejpam-4066	219	11	of	of	ADP
ejpam-4066	219	12	the	the	DET
ejpam-4066	219	13	form	form	NOUN
ejpam-4066	219	14	t2y′′(t	t2y′′(t	NOUN
ejpam-4066	219	15	)	)	PUNCT
ejpam-4066	220	1	+	+	CCONJ
ejpam-4066	221	1	4ty′(t	4ty′(t	NUM
ejpam-4066	221	2	)	)	PUNCT
ejpam-4066	221	3	+	+	NUM
ejpam-4066	221	4	2y(t	2y(t	NUM
ejpam-4066	221	5	)	)	PUNCT
ejpam-4066	221	6	=	=	SYM
ejpam-4066	221	7	t3	t3	PROPN
ejpam-4066	221	8	.	.	PUNCT
ejpam-4066	222	1	(	(	PUNCT
ejpam-4066	222	2	5	5	NUM
ejpam-4066	222	3	)	)	PUNCT
ejpam-4066	222	4	from	from	ADP
ejpam-4066	222	5	(	(	PUNCT
ejpam-4066	222	6	2	2	NUM
ejpam-4066	222	7	)	)	PUNCT
ejpam-4066	222	8	and	and	CCONJ
ejpam-4066	222	9	(	(	PUNCT
ejpam-4066	222	10	5	5	NUM
ejpam-4066	222	11	)	)	PUNCT
ejpam-4066	222	12	,	,	PUNCT
ejpam-4066	222	13	we	we	PRON
ejpam-4066	222	14	have	have	VERB
ejpam-4066	222	15	a2	a2	PROPN
ejpam-4066	222	16	=	=	SYM
ejpam-4066	222	17	1	1	NUM
ejpam-4066	222	18	,	,	PUNCT
ejpam-4066	222	19	b1	b1	NOUN
ejpam-4066	222	20	=	=	SYM
ejpam-4066	222	21	4	4	NUM
ejpam-4066	222	22	,	,	PUNCT
ejpam-4066	222	23	c0	c0	NOUN
ejpam-4066	222	24	=	=	SYM
ejpam-4066	222	25	2	2	NUM
ejpam-4066	222	26	,	,	PUNCT
ejpam-4066	222	27	a0	a0	NOUN
ejpam-4066	222	28	=	=	PUNCT
ejpam-4066	222	29	a1	a1	PROPN
ejpam-4066	222	30	=	=	SYM
ejpam-4066	222	31	0	0	NUM
ejpam-4066	222	32	,	,	PUNCT
ejpam-4066	222	33	b0	b0	NOUN
ejpam-4066	222	34	=	=	SYM
ejpam-4066	222	35	b2	b2	NOUN
ejpam-4066	222	36	=	=	SYM
ejpam-4066	222	37	0	0	NUM
ejpam-4066	222	38	,	,	PUNCT
ejpam-4066	222	39	c1	c1	NOUN
ejpam-4066	222	40	=	=	PROPN
ejpam-4066	222	41	c2	c2	PROPN
ejpam-4066	222	42	=	=	SYM
ejpam-4066	222	43	0	0	PROPN
ejpam-4066	222	44	,	,	PUNCT
ejpam-4066	222	45	and	and	CCONJ
ejpam-4066	222	46	we	we	PRON
ejpam-4066	222	47	define	define	VERB
ejpam-4066	222	48	α	α	NOUN
ejpam-4066	222	49	=	=	NOUN
ejpam-4066	222	50	1	1	NUM
ejpam-4066	222	51	to	to	PART
ejpam-4066	222	52	satisfy	satisfy	VERB
ejpam-4066	222	53	with	with	ADP
ejpam-4066	222	54	the	the	DET
ejpam-4066	222	55	conditions	condition	NOUN
ejpam-4066	222	56	of	of	ADP
ejpam-4066	222	57	theorem	theorem	NOUN
ejpam-4066	222	58	1	1	NUM
ejpam-4066	222	59	,	,	PUNCT
ejpam-4066	222	60	so	so	ADV
ejpam-4066	222	61	using	use	VERB
ejpam-4066	222	62	the	the	DET
ejpam-4066	222	63	g1	g1	NOUN
ejpam-4066	222	64	-	-	PUNCT
ejpam-4066	222	65	transform	transform	NOUN
ejpam-4066	222	66	leads	lead	NOUN
ejpam-4066	222	67	to	to	PART
ejpam-4066	222	68	find	find	VERB
ejpam-4066	222	69	the	the	DET
ejpam-4066	222	70	solution	solution	NOUN
ejpam-4066	222	71	of	of	ADP
ejpam-4066	222	72	(	(	PUNCT
ejpam-4066	222	73	5	5	NUM
ejpam-4066	222	74	)	)	PUNCT
ejpam-4066	222	75	.	.	PUNCT
ejpam-4066	223	1	by	by	ADP
ejpam-4066	223	2	applying	apply	VERB
ejpam-4066	223	3	the	the	DET
ejpam-4066	223	4	g1	g1	NOUN
ejpam-4066	223	5	-	-	PUNCT
ejpam-4066	223	6	transform	transform	NOUN
ejpam-4066	223	7	to	to	ADP
ejpam-4066	223	8	(	(	PUNCT
ejpam-4066	223	9	5	5	NUM
ejpam-4066	223	10	)	)	PUNCT
ejpam-4066	223	11	and	and	CCONJ
ejpam-4066	223	12	using	use	VERB
ejpam-4066	223	13	lemma	lemma	PROPN
ejpam-4066	223	14	3	3	NUM
ejpam-4066	223	15	,	,	PUNCT
ejpam-4066	223	16	we	we	PRON
ejpam-4066	223	17	obtain	obtain	VERB
ejpam-4066	223	18	g1{t2y′′(t)}+g1{4ty′(t)}+g1{2y(t	g1{t2y′′(t)}+g1{4ty′(t)}+g1{2y(t	PROPN
ejpam-4066	223	19	)	)	PUNCT
ejpam-4066	223	20	}	}	PUNCT
ejpam-4066	223	21	=	=	SYM
ejpam-4066	223	22	g1{t3	g1{t3	PROPN
ejpam-4066	223	23	}	}	PUNCT
ejpam-4066	223	24	u2f	u2f	VERB
ejpam-4066	223	25	′′(u)−	′′(u)−	PROPN
ejpam-4066	223	26	4uf	4uf	ADJ
ejpam-4066	223	27	′(u	′(u	NOUN
ejpam-4066	223	28	)	)	PUNCT
ejpam-4066	224	1	+	+	CCONJ
ejpam-4066	224	2	6f	6f	NUM
ejpam-4066	224	3	(	(	PUNCT
ejpam-4066	224	4	u	u	NOUN
ejpam-4066	224	5	)	)	PUNCT
ejpam-4066	224	6	+	+	NUM
ejpam-4066	224	7	4uf	4uf	ADJ
ejpam-4066	224	8	′(u)−	′(u)−	PROPN
ejpam-4066	224	9	8f	8f	NOUN
ejpam-4066	224	10	(	(	PUNCT
ejpam-4066	224	11	u	u	NOUN
ejpam-4066	224	12	)	)	PUNCT
ejpam-4066	224	13	+	+	NUM
ejpam-4066	224	14	2f	2f	NUM
ejpam-4066	224	15	(	(	PUNCT
ejpam-4066	224	16	u	u	NOUN
ejpam-4066	224	17	)	)	PUNCT
ejpam-4066	224	18	=	=	PUNCT
ejpam-4066	225	1	6u5	6u5	NUM
ejpam-4066	225	2	f	f	X
ejpam-4066	225	3	′′(u	′′(u	PROPN
ejpam-4066	225	4	)	)	PUNCT
ejpam-4066	225	5	=	=	PUNCT
ejpam-4066	226	1	6u3	6u3	NUM
ejpam-4066	226	2	.	.	PUNCT
ejpam-4066	227	1	then	then	ADV
ejpam-4066	227	2	,	,	PUNCT
ejpam-4066	227	3	we	we	PRON
ejpam-4066	227	4	have	have	VERB
ejpam-4066	227	5	f	f	PROPN
ejpam-4066	227	6	(	(	PUNCT
ejpam-4066	227	7	u	u	NOUN
ejpam-4066	227	8	)	)	PUNCT
ejpam-4066	227	9	=	=	SYM
ejpam-4066	227	10	3	3	NUM
ejpam-4066	227	11	10	10	NUM
ejpam-4066	227	12	u5	u5	NOUN
ejpam-4066	227	13	+	+	CCONJ
ejpam-4066	227	14	c1u+	c1u+	PROPN
ejpam-4066	227	15	c2	c2	PROPN
ejpam-4066	227	16	,	,	PUNCT
ejpam-4066	227	17	s.	s.	PROPN
ejpam-4066	227	18	sattaso	sattaso	PROPN
ejpam-4066	227	19	et	et	PROPN
ejpam-4066	227	20	al	al	PROPN
ejpam-4066	227	21	.	.	PUNCT
ejpam-4066	227	22	/	/	SYM
ejpam-4066	227	23	eur	eur	PROPN
ejpam-4066	227	24	.	.	PUNCT
ejpam-4066	228	1	j.	j.	PROPN
ejpam-4066	228	2	pure	pure	PROPN
ejpam-4066	228	3	appl	appl	PROPN
ejpam-4066	228	4	.	.	PROPN
ejpam-4066	228	5	math	math	PROPN
ejpam-4066	228	6	,	,	PUNCT
ejpam-4066	228	7	14	14	NUM
ejpam-4066	228	8	(	(	PUNCT
ejpam-4066	228	9	4	4	NUM
ejpam-4066	228	10	)	)	PUNCT
ejpam-4066	228	11	(	(	PUNCT
ejpam-4066	228	12	2021	2021	NUM
ejpam-4066	228	13	)	)	PUNCT
ejpam-4066	228	14	,	,	PUNCT
ejpam-4066	228	15	1184	1184	NUM
ejpam-4066	228	16	-	-	SYM
ejpam-4066	228	17	1199	1199	NUM
ejpam-4066	228	18	1193	1193	NUM
ejpam-4066	228	19	where	where	SCONJ
ejpam-4066	228	20	c1	c1	PROPN
ejpam-4066	228	21	and	and	CCONJ
ejpam-4066	228	22	c2	c2	PROPN
ejpam-4066	228	23	are	be	AUX
ejpam-4066	228	24	constants	constant	NOUN
ejpam-4066	228	25	.	.	PUNCT
ejpam-4066	229	1	letting	let	VERB
ejpam-4066	229	2	c1	c1	PROPN
ejpam-4066	229	3	=	=	PROPN
ejpam-4066	229	4	c2	c2	PROPN
ejpam-4066	229	5	=	=	SYM
ejpam-4066	229	6	0	0	PROPN
ejpam-4066	229	7	,	,	PUNCT
ejpam-4066	229	8	we	we	PRON
ejpam-4066	229	9	get	get	VERB
ejpam-4066	229	10	f	f	PROPN
ejpam-4066	229	11	(	(	PUNCT
ejpam-4066	229	12	u	u	NOUN
ejpam-4066	229	13	)	)	PUNCT
ejpam-4066	229	14	=	=	SYM
ejpam-4066	229	15	3	3	NUM
ejpam-4066	229	16	10	10	NUM
ejpam-4066	229	17	u5	u5	NOUN
ejpam-4066	229	18	.	.	PUNCT
ejpam-4066	230	1	by	by	ADP
ejpam-4066	230	2	using	use	VERB
ejpam-4066	230	3	lemma	lemma	PROPN
ejpam-4066	230	4	4	4	NUM
ejpam-4066	230	5	and	and	CCONJ
ejpam-4066	230	6	the	the	DET
ejpam-4066	230	7	inverse	inverse	NOUN
ejpam-4066	230	8	g1	g1	NOUN
ejpam-4066	230	9	-	-	PUNCT
ejpam-4066	230	10	transform	transform	NOUN
ejpam-4066	230	11	,	,	PUNCT
ejpam-4066	230	12	thus	thus	ADV
ejpam-4066	230	13	the	the	DET
ejpam-4066	230	14	inverse	inverse	NOUN
ejpam-4066	230	15	of	of	ADP
ejpam-4066	230	16	u5	u5	PROPN
ejpam-4066	230	17	is	be	AUX
ejpam-4066	230	18	t3	t3	PROPN
ejpam-4066	230	19	6	6	NUM
ejpam-4066	230	20	,	,	PUNCT
ejpam-4066	230	21	we	we	PRON
ejpam-4066	230	22	obtain	obtain	VERB
ejpam-4066	230	23	y(t	y(t	PUNCT
ejpam-4066	230	24	)	)	PUNCT
ejpam-4066	231	1	=	=	SYM
ejpam-4066	231	2	1	1	NUM
ejpam-4066	231	3	20	20	NUM
ejpam-4066	231	4	t3	t3	NOUN
ejpam-4066	231	5	as	as	ADP
ejpam-4066	231	6	a	a	DET
ejpam-4066	231	7	solution	solution	NOUN
ejpam-4066	231	8	of	of	ADP
ejpam-4066	231	9	(	(	PUNCT
ejpam-4066	231	10	5	5	NUM
ejpam-4066	231	11	)	)	PUNCT
ejpam-4066	231	12	.	.	PUNCT
ejpam-4066	232	1	it	it	PRON
ejpam-4066	232	2	is	be	AUX
ejpam-4066	232	3	not	not	PART
ejpam-4066	232	4	difficult	difficult	ADJ
ejpam-4066	232	5	to	to	PART
ejpam-4066	232	6	show	show	VERB
ejpam-4066	232	7	that	that	PRON
ejpam-4066	232	8	y(t	y(t	NOUN
ejpam-4066	232	9	)	)	PUNCT
ejpam-4066	233	1	=	=	SYM
ejpam-4066	233	2	1	1	NUM
ejpam-4066	233	3	20	20	NUM
ejpam-4066	233	4	t3	t3	NOUN
ejpam-4066	233	5	satisfies	satisfie	NOUN
ejpam-4066	233	6	(	(	PUNCT
ejpam-4066	233	7	5	5	NUM
ejpam-4066	233	8	)	)	PUNCT
ejpam-4066	233	9	.	.	PUNCT
ejpam-4066	234	1	the	the	DET
ejpam-4066	234	2	next	next	ADJ
ejpam-4066	234	3	example	example	NOUN
ejpam-4066	234	4	will	will	AUX
ejpam-4066	234	5	show	show	VERB
ejpam-4066	234	6	that	that	SCONJ
ejpam-4066	234	7	if	if	SCONJ
ejpam-4066	234	8	the	the	DET
ejpam-4066	234	9	conditions	condition	NOUN
ejpam-4066	234	10	do	do	AUX
ejpam-4066	234	11	not	not	PART
ejpam-4066	234	12	satisfy	satisfy	VERB
ejpam-4066	234	13	theorem	theorem	ADJ
ejpam-4066	234	14	1	1	NUM
ejpam-4066	234	15	,	,	PUNCT
ejpam-4066	234	16	then	then	ADV
ejpam-4066	234	17	it	it	PRON
ejpam-4066	234	18	is	be	AUX
ejpam-4066	234	19	not	not	PART
ejpam-4066	234	20	suitable	suitable	ADJ
ejpam-4066	234	21	to	to	PART
ejpam-4066	234	22	solve	solve	VERB
ejpam-4066	234	23	by	by	ADP
ejpam-4066	234	24	this	this	DET
ejpam-4066	234	25	method	method	NOUN
ejpam-4066	234	26	as	as	ADP
ejpam-4066	234	27	the	the	DET
ejpam-4066	234	28	following	following	NOUN
ejpam-4066	234	29	.	.	PUNCT
ejpam-4066	235	1	example	example	NOUN
ejpam-4066	236	1	2	2	NUM
ejpam-4066	236	2	.	.	X
ejpam-4066	236	3	consider	consider	VERB
ejpam-4066	236	4	the	the	DET
ejpam-4066	236	5	legendre	legendre	PROPN
ejpam-4066	236	6	differential	differential	PROPN
ejpam-4066	236	7	equation	equation	NOUN
ejpam-4066	236	8	of	of	ADP
ejpam-4066	236	9	the	the	DET
ejpam-4066	236	10	form	form	NOUN
ejpam-4066	236	11	(	(	PUNCT
ejpam-4066	236	12	1−	1−	NUM
ejpam-4066	236	13	t2)y′′(t)−	t2)y′′(t)−	NOUN
ejpam-4066	236	14	2ty′(t	2ty′(t	NUM
ejpam-4066	236	15	)	)	PUNCT
ejpam-4066	237	1	=	=	SYM
ejpam-4066	237	2	t.	t.	NOUN
ejpam-4066	237	3	(	(	PUNCT
ejpam-4066	237	4	6	6	NUM
ejpam-4066	237	5	)	)	PUNCT
ejpam-4066	237	6	from	from	ADP
ejpam-4066	237	7	(	(	PUNCT
ejpam-4066	237	8	2	2	NUM
ejpam-4066	237	9	)	)	PUNCT
ejpam-4066	237	10	and	and	CCONJ
ejpam-4066	237	11	(	(	PUNCT
ejpam-4066	237	12	6	6	NUM
ejpam-4066	237	13	)	)	PUNCT
ejpam-4066	237	14	,	,	PUNCT
ejpam-4066	237	15	we	we	PRON
ejpam-4066	237	16	have	have	VERB
ejpam-4066	237	17	a2	a2	PROPN
ejpam-4066	237	18	=	=	SYM
ejpam-4066	237	19	−1	−1	PROPN
ejpam-4066	237	20	,	,	PUNCT
ejpam-4066	237	21	c2	c2	PROPN
ejpam-4066	237	22	=	=	SYM
ejpam-4066	237	23	1	1	NUM
ejpam-4066	237	24	,	,	PUNCT
ejpam-4066	237	25	b1	b1	NOUN
ejpam-4066	237	26	=	=	SYM
ejpam-4066	237	27	−2	−2	NOUN
ejpam-4066	237	28	,	,	PUNCT
ejpam-4066	237	29	a0	a0	NOUN
ejpam-4066	237	30	=	=	SYM
ejpam-4066	237	31	a1	a1	PROPN
ejpam-4066	237	32	=	=	SYM
ejpam-4066	237	33	0	0	NUM
ejpam-4066	237	34	,	,	PUNCT
ejpam-4066	237	35	b0	b0	NOUN
ejpam-4066	237	36	=	=	SYM
ejpam-4066	237	37	b2	b2	NOUN
ejpam-4066	237	38	=	=	SYM
ejpam-4066	237	39	0	0	NUM
ejpam-4066	237	40	,	,	PUNCT
ejpam-4066	237	41	c0	c0	PROPN
ejpam-4066	237	42	=	=	PROPN
ejpam-4066	237	43	c1	c1	PROPN
ejpam-4066	237	44	=	=	PUNCT
ejpam-4066	237	45	0	0	PROPN
ejpam-4066	237	46	,	,	PUNCT
ejpam-4066	237	47	and	and	CCONJ
ejpam-4066	237	48	with	with	ADP
ejpam-4066	237	49	respect	respect	NOUN
ejpam-4066	237	50	to	to	ADP
ejpam-4066	237	51	the	the	DET
ejpam-4066	237	52	conditions	condition	NOUN
ejpam-4066	237	53	in	in	ADP
ejpam-4066	237	54	theorem	theorem	NOUN
ejpam-4066	237	55	1	1	NUM
ejpam-4066	237	56	,	,	PUNCT
ejpam-4066	237	57	c2	c2	PROPN
ejpam-4066	237	58	should	should	AUX
ejpam-4066	237	59	be	be	AUX
ejpam-4066	237	60	equal	equal	ADJ
ejpam-4066	237	61	to	to	ADP
ejpam-4066	237	62	0	0	NUM
ejpam-4066	237	63	,	,	PUNCT
ejpam-4066	237	64	while	while	SCONJ
ejpam-4066	237	65	c2	c2	PROPN
ejpam-4066	237	66	is	be	AUX
ejpam-4066	237	67	equal	equal	ADJ
ejpam-4066	237	68	to	to	ADP
ejpam-4066	237	69	1	1	NUM
ejpam-4066	237	70	.	.	PUNCT
ejpam-4066	238	1	therefore	therefore	ADV
ejpam-4066	238	2	,	,	PUNCT
ejpam-4066	238	3	the	the	DET
ejpam-4066	238	4	conditions	condition	NOUN
ejpam-4066	238	5	of	of	ADP
ejpam-4066	238	6	theorem	theorem	NOUN
ejpam-4066	238	7	1	1	NUM
ejpam-4066	238	8	are	be	AUX
ejpam-4066	238	9	not	not	PART
ejpam-4066	238	10	satisfied	satisfied	ADJ
ejpam-4066	238	11	.	.	PUNCT
ejpam-4066	239	1	if	if	SCONJ
ejpam-4066	239	2	we	we	PRON
ejpam-4066	239	3	take	take	VERB
ejpam-4066	239	4	gα	gα	NOUN
ejpam-4066	239	5	-	-	PUNCT
ejpam-4066	239	6	transform	transform	VERB
ejpam-4066	239	7	both	both	DET
ejpam-4066	239	8	sides	side	NOUN
ejpam-4066	239	9	of	of	ADP
ejpam-4066	239	10	(	(	PUNCT
ejpam-4066	239	11	6	6	NUM
ejpam-4066	239	12	)	)	PUNCT
ejpam-4066	239	13	,	,	PUNCT
ejpam-4066	239	14	we	we	PRON
ejpam-4066	239	15	obtain	obtain	VERB
ejpam-4066	239	16	gα{(1−	gα{(1−	NOUN
ejpam-4066	239	17	t2)y′′(t	t2)y′′(t	NOUN
ejpam-4066	239	18	)	)	PUNCT
ejpam-4066	239	19	}	}	PUNCT
ejpam-4066	239	20	−gα{2ty′(t	−gα{2ty′(t	VERB
ejpam-4066	239	21	)	)	PUNCT
ejpam-4066	239	22	}	}	PUNCT
ejpam-4066	239	23	=	=	SYM
ejpam-4066	239	24	gα{t	gα{t	PROPN
ejpam-4066	239	25	}	}	PUNCT
ejpam-4066	239	26	−u2f	−u2f	PUNCT
ejpam-4066	239	27	′′(u	′′(u	PROPN
ejpam-4066	239	28	)	)	PUNCT
ejpam-4066	239	29	+	+	CCONJ
ejpam-4066	239	30	2αuf	2αuf	NUM
ejpam-4066	239	31	′(u	′(u	NOUN
ejpam-4066	239	32	)	)	PUNCT
ejpam-4066	239	33	+	+	CCONJ
ejpam-4066	239	34	(	(	PUNCT
ejpam-4066	239	35	(	(	PUNCT
ejpam-4066	239	36	α−	α−	ADP
ejpam-4066	239	37	3)α+	3)α+	NUM
ejpam-4066	239	38	1	1	NUM
ejpam-4066	239	39	u2	u2	NOUN
ejpam-4066	239	40	)	)	PUNCT
ejpam-4066	239	41	f	f	PROPN
ejpam-4066	239	42	(	(	PUNCT
ejpam-4066	239	43	u	u	NOUN
ejpam-4066	239	44	)	)	PUNCT
ejpam-4066	239	45	=	=	SYM
ejpam-4066	240	1	uα+2	uα+2	PROPN
ejpam-4066	240	2	.	.	PUNCT
ejpam-4066	240	3	observe	observe	VERB
ejpam-4066	240	4	that	that	SCONJ
ejpam-4066	240	5	(	(	PUNCT
ejpam-4066	240	6	6	6	NUM
ejpam-4066	240	7	)	)	PUNCT
ejpam-4066	240	8	changed	change	VERB
ejpam-4066	240	9	into	into	ADP
ejpam-4066	240	10	a	a	DET
ejpam-4066	240	11	second	second	ADJ
ejpam-4066	240	12	-	-	PUNCT
ejpam-4066	240	13	order	order	NOUN
ejpam-4066	240	14	ordinary	ordinary	ADJ
ejpam-4066	240	15	differential	differential	ADJ
ejpam-4066	240	16	equation	equation	NOUN
ejpam-4066	240	17	with	with	ADP
ejpam-4066	240	18	variable	variable	ADJ
ejpam-4066	240	19	coefficients	coefficient	NOUN
ejpam-4066	240	20	.	.	PUNCT
ejpam-4066	241	1	thus	thus	ADV
ejpam-4066	241	2	,	,	PUNCT
ejpam-4066	241	3	using	use	VERB
ejpam-4066	241	4	gα	gα	NOUN
ejpam-4066	241	5	-	-	PUNCT
ejpam-4066	241	6	transform	transform	NOUN
ejpam-4066	241	7	did	do	AUX
ejpam-4066	241	8	not	not	PART
ejpam-4066	241	9	lead	lead	VERB
ejpam-4066	241	10	to	to	ADP
ejpam-4066	241	11	finding	find	VERB
ejpam-4066	241	12	the	the	DET
ejpam-4066	241	13	solution	solution	NOUN
ejpam-4066	241	14	of	of	ADP
ejpam-4066	241	15	(	(	PUNCT
ejpam-4066	241	16	6	6	NUM
ejpam-4066	241	17	)	)	PUNCT
ejpam-4066	241	18	.	.	PUNCT
ejpam-4066	242	1	example	example	NOUN
ejpam-4066	243	1	3	3	X
ejpam-4066	243	2	.	.	X
ejpam-4066	243	3	consider	consider	VERB
ejpam-4066	243	4	the	the	DET
ejpam-4066	243	5	ordinary	ordinary	ADJ
ejpam-4066	243	6	differential	differential	ADJ
ejpam-4066	243	7	equation	equation	NOUN
ejpam-4066	243	8	with	with	ADP
ejpam-4066	243	9	variable	variable	ADJ
ejpam-4066	243	10	coefficients	coefficient	NOUN
ejpam-4066	243	11	of	of	ADP
ejpam-4066	243	12	the	the	DET
ejpam-4066	243	13	form	form	NOUN
ejpam-4066	243	14	t2y′′(t	t2y′′(t	NOUN
ejpam-4066	243	15	)	)	PUNCT
ejpam-4066	244	1	+	+	CCONJ
ejpam-4066	244	2	2ty′(t)−	2ty′(t)−	NUM
ejpam-4066	244	3	2y(t	2y(t	NUM
ejpam-4066	244	4	)	)	PUNCT
ejpam-4066	245	1	=	=	SYM
ejpam-4066	245	2	0	0	X
ejpam-4066	245	3	.	.	PUNCT
ejpam-4066	246	1	(	(	PUNCT
ejpam-4066	246	2	7	7	NUM
ejpam-4066	246	3	)	)	PUNCT
ejpam-4066	246	4	from	from	ADP
ejpam-4066	246	5	(	(	PUNCT
ejpam-4066	246	6	2	2	NUM
ejpam-4066	246	7	)	)	PUNCT
ejpam-4066	246	8	and	and	CCONJ
ejpam-4066	246	9	(	(	PUNCT
ejpam-4066	246	10	7	7	NUM
ejpam-4066	246	11	)	)	PUNCT
ejpam-4066	246	12	,	,	PUNCT
ejpam-4066	246	13	we	we	PRON
ejpam-4066	246	14	have	have	VERB
ejpam-4066	246	15	a2	a2	PROPN
ejpam-4066	246	16	=	=	SYM
ejpam-4066	246	17	1	1	NUM
ejpam-4066	246	18	,	,	PUNCT
ejpam-4066	246	19	b1	b1	NOUN
ejpam-4066	246	20	=	=	SYM
ejpam-4066	246	21	2	2	NUM
ejpam-4066	246	22	,	,	PUNCT
ejpam-4066	246	23	c0	c0	NOUN
ejpam-4066	246	24	=	=	SYM
ejpam-4066	246	25	−2	−2	PROPN
ejpam-4066	246	26	,	,	PUNCT
ejpam-4066	246	27	a0	a0	NOUN
ejpam-4066	246	28	=	=	SYM
ejpam-4066	246	29	a1	a1	PROPN
ejpam-4066	246	30	=	=	SYM
ejpam-4066	246	31	0	0	NUM
ejpam-4066	246	32	,	,	PUNCT
ejpam-4066	246	33	b0	b0	NOUN
ejpam-4066	246	34	=	=	SYM
ejpam-4066	246	35	b2	b2	NOUN
ejpam-4066	246	36	=	=	SYM
ejpam-4066	246	37	0	0	NUM
ejpam-4066	246	38	,	,	PUNCT
ejpam-4066	246	39	c1	c1	NOUN
ejpam-4066	246	40	=	=	PROPN
ejpam-4066	246	41	c2	c2	PROPN
ejpam-4066	246	42	=	=	SYM
ejpam-4066	246	43	0	0	PROPN
ejpam-4066	246	44	,	,	PUNCT
ejpam-4066	246	45	and	and	CCONJ
ejpam-4066	246	46	we	we	PRON
ejpam-4066	246	47	define	define	VERB
ejpam-4066	246	48	α	α	NOUN
ejpam-4066	246	49	=	=	NOUN
ejpam-4066	246	50	1	1	NUM
ejpam-4066	246	51	to	to	PART
ejpam-4066	246	52	satisfy	satisfy	VERB
ejpam-4066	246	53	with	with	ADP
ejpam-4066	246	54	the	the	DET
ejpam-4066	246	55	conditions	condition	NOUN
ejpam-4066	246	56	of	of	ADP
ejpam-4066	246	57	remark	remark	NOUN
ejpam-4066	246	58	2	2	NUM
ejpam-4066	246	59	,	,	PUNCT
ejpam-4066	246	60	so	so	ADV
ejpam-4066	246	61	using	use	VERB
ejpam-4066	246	62	the	the	DET
ejpam-4066	246	63	g1	g1	NOUN
ejpam-4066	246	64	-	-	PUNCT
ejpam-4066	246	65	transform	transform	NOUN
ejpam-4066	246	66	leads	lead	NOUN
ejpam-4066	246	67	to	to	PART
ejpam-4066	246	68	find	find	VERB
ejpam-4066	246	69	the	the	DET
ejpam-4066	246	70	solution	solution	NOUN
ejpam-4066	246	71	of	of	ADP
ejpam-4066	246	72	(	(	PUNCT
ejpam-4066	246	73	7	7	NUM
ejpam-4066	246	74	)	)	PUNCT
ejpam-4066	246	75	.	.	PUNCT
ejpam-4066	247	1	by	by	ADP
ejpam-4066	247	2	applying	apply	VERB
ejpam-4066	247	3	the	the	DET
ejpam-4066	247	4	g1	g1	NOUN
ejpam-4066	247	5	-	-	PUNCT
ejpam-4066	247	6	transform	transform	NOUN
ejpam-4066	247	7	to	to	ADP
ejpam-4066	247	8	(	(	PUNCT
ejpam-4066	247	9	7	7	NUM
ejpam-4066	247	10	)	)	PUNCT
ejpam-4066	247	11	and	and	CCONJ
ejpam-4066	247	12	using	use	VERB
ejpam-4066	247	13	lemma	lemma	PROPN
ejpam-4066	247	14	3	3	NUM
ejpam-4066	247	15	,	,	PUNCT
ejpam-4066	247	16	we	we	PRON
ejpam-4066	247	17	obtain	obtain	VERB
ejpam-4066	247	18	g1{t2y′′(t)}+g1{2ty′(t	g1{t2y′′(t)}+g1{2ty′(t	PROPN
ejpam-4066	247	19	)	)	PUNCT
ejpam-4066	247	20	}	}	PUNCT
ejpam-4066	247	21	−g1{2y(t	−g1{2y(t	PROPN
ejpam-4066	247	22	)	)	PUNCT
ejpam-4066	247	23	}	}	PUNCT
ejpam-4066	248	1	=	=	SYM
ejpam-4066	248	2	0	0	NUM
ejpam-4066	248	3	u2f	u2f	PROPN
ejpam-4066	248	4	′′(u)−	′′(u)−	PROPN
ejpam-4066	248	5	4uf	4uf	ADJ
ejpam-4066	248	6	′(u	′(u	NOUN
ejpam-4066	248	7	)	)	PUNCT
ejpam-4066	249	1	+	+	CCONJ
ejpam-4066	249	2	6f	6f	NUM
ejpam-4066	249	3	(	(	PUNCT
ejpam-4066	249	4	u	u	NOUN
ejpam-4066	249	5	)	)	PUNCT
ejpam-4066	249	6	+	+	NUM
ejpam-4066	250	1	2uf	2uf	NUM
ejpam-4066	250	2	′(u)−	′(u)−	NOUN
ejpam-4066	250	3	2f	2f	NUM
ejpam-4066	250	4	(	(	PUNCT
ejpam-4066	250	5	u)−	u)−	PROPN
ejpam-4066	250	6	2f	2f	NUM
ejpam-4066	250	7	(	(	PUNCT
ejpam-4066	250	8	u)−	u)−	PROPN
ejpam-4066	250	9	2f	2f	NOUN
ejpam-4066	250	10	(	(	PUNCT
ejpam-4066	250	11	u	u	NOUN
ejpam-4066	250	12	)	)	PUNCT
ejpam-4066	250	13	=	=	SYM
ejpam-4066	250	14	0	0	NUM
ejpam-4066	250	15	u2f	u2f	PROPN
ejpam-4066	250	16	′′(u)−	′′(u)−	NOUN
ejpam-4066	250	17	2uf	2uf	ADJ
ejpam-4066	250	18	′(u	′(u	NOUN
ejpam-4066	250	19	)	)	PUNCT
ejpam-4066	250	20	=	=	SYM
ejpam-4066	251	1	0	0	X
ejpam-4066	251	2	.	.	PUNCT
ejpam-4066	252	1	then	then	ADV
ejpam-4066	252	2	,	,	PUNCT
ejpam-4066	252	3	we	we	PRON
ejpam-4066	252	4	have	have	VERB
ejpam-4066	252	5	f	f	PROPN
ejpam-4066	252	6	′′(u	′′(u	PROPN
ejpam-4066	252	7	)	)	PUNCT
ejpam-4066	252	8	f	f	PROPN
ejpam-4066	252	9	′(u	′(u	NOUN
ejpam-4066	252	10	)	)	PUNCT
ejpam-4066	252	11	=	=	SYM
ejpam-4066	252	12	2	2	NUM
ejpam-4066	252	13	u	u	NOUN
ejpam-4066	252	14	.	.	PUNCT
ejpam-4066	253	1	by	by	ADP
ejpam-4066	253	2	integration	integration	NOUN
ejpam-4066	253	3	both	both	DET
ejpam-4066	253	4	sides	side	NOUN
ejpam-4066	253	5	,	,	PUNCT
ejpam-4066	253	6	we	we	PRON
ejpam-4066	253	7	obtain	obtain	VERB
ejpam-4066	253	8	lnf	lnf	PROPN
ejpam-4066	253	9	′(u	′(u	NOUN
ejpam-4066	253	10	)	)	PUNCT
ejpam-4066	254	1	=	=	SYM
ejpam-4066	254	2	ln	ln	NOUN
ejpam-4066	254	3	c1u	c1u	PROPN
ejpam-4066	254	4	2	2	NUM
ejpam-4066	254	5	or	or	CCONJ
ejpam-4066	254	6	f	f	PROPN
ejpam-4066	254	7	′(u	′(u	NOUN
ejpam-4066	254	8	)	)	PUNCT
ejpam-4066	255	1	=	=	SYM
ejpam-4066	255	2	c1u	c1u	PROPN
ejpam-4066	255	3	2	2	NUM
ejpam-4066	255	4	,	,	PUNCT
ejpam-4066	255	5	s.	s.	PROPN
ejpam-4066	255	6	sattaso	sattaso	PROPN
ejpam-4066	255	7	et	et	PROPN
ejpam-4066	255	8	al	al	PROPN
ejpam-4066	255	9	.	.	PUNCT
ejpam-4066	255	10	/	/	SYM
ejpam-4066	255	11	eur	eur	PROPN
ejpam-4066	255	12	.	.	PUNCT
ejpam-4066	256	1	j.	j.	PROPN
ejpam-4066	256	2	pure	pure	PROPN
ejpam-4066	256	3	appl	appl	PROPN
ejpam-4066	256	4	.	.	PROPN
ejpam-4066	256	5	math	math	PROPN
ejpam-4066	256	6	,	,	PUNCT
ejpam-4066	256	7	14	14	NUM
ejpam-4066	256	8	(	(	PUNCT
ejpam-4066	256	9	4	4	NUM
ejpam-4066	256	10	)	)	PUNCT
ejpam-4066	256	11	(	(	PUNCT
ejpam-4066	256	12	2021	2021	NUM
ejpam-4066	256	13	)	)	PUNCT
ejpam-4066	256	14	,	,	PUNCT
ejpam-4066	256	15	1184	1184	NUM
ejpam-4066	256	16	-	-	SYM
ejpam-4066	256	17	1199	1199	NUM
ejpam-4066	256	18	1194	1194	NUM
ejpam-4066	256	19	and	and	CCONJ
ejpam-4066	256	20	hence	hence	ADV
ejpam-4066	256	21	f	f	PROPN
ejpam-4066	256	22	(	(	PUNCT
ejpam-4066	256	23	u	u	NOUN
ejpam-4066	256	24	)	)	PUNCT
ejpam-4066	256	25	=	=	SYM
ejpam-4066	256	26	c1	c1	PROPN
ejpam-4066	256	27	3	3	NUM
ejpam-4066	256	28	u3	u3	PROPN
ejpam-4066	256	29	+	+	CCONJ
ejpam-4066	256	30	c2	c2	PROPN
ejpam-4066	256	31	,	,	PUNCT
ejpam-4066	256	32	where	where	SCONJ
ejpam-4066	256	33	c1	c1	PROPN
ejpam-4066	256	34	and	and	CCONJ
ejpam-4066	256	35	c2	c2	PROPN
ejpam-4066	256	36	are	be	AUX
ejpam-4066	256	37	constants	constant	NOUN
ejpam-4066	256	38	.	.	PUNCT
ejpam-4066	257	1	letting	let	VERB
ejpam-4066	257	2	c2	c2	PROPN
ejpam-4066	257	3	=	=	SYM
ejpam-4066	257	4	0	0	PROPN
ejpam-4066	257	5	,	,	PUNCT
ejpam-4066	257	6	we	we	PRON
ejpam-4066	257	7	get	get	VERB
ejpam-4066	257	8	f	f	PROPN
ejpam-4066	257	9	(	(	PUNCT
ejpam-4066	257	10	u	u	NOUN
ejpam-4066	257	11	)	)	PUNCT
ejpam-4066	257	12	=	=	SYM
ejpam-4066	257	13	c1	c1	PROPN
ejpam-4066	257	14	3	3	NUM
ejpam-4066	257	15	u3	u3	PROPN
ejpam-4066	257	16	.	.	PUNCT
ejpam-4066	258	1	by	by	ADP
ejpam-4066	258	2	using	use	VERB
ejpam-4066	258	3	lemma	lemma	PROPN
ejpam-4066	258	4	4	4	NUM
ejpam-4066	258	5	and	and	CCONJ
ejpam-4066	258	6	the	the	DET
ejpam-4066	258	7	inverse	inverse	NOUN
ejpam-4066	258	8	g1	g1	NOUN
ejpam-4066	258	9	-	-	PUNCT
ejpam-4066	258	10	transform	transform	NOUN
ejpam-4066	258	11	,	,	PUNCT
ejpam-4066	258	12	thus	thus	ADV
ejpam-4066	258	13	the	the	DET
ejpam-4066	258	14	inverse	inverse	NOUN
ejpam-4066	258	15	of	of	ADP
ejpam-4066	258	16	u3	u3	NOUN
ejpam-4066	258	17	is	be	AUX
ejpam-4066	258	18	t	t	PROPN
ejpam-4066	258	19	,	,	PUNCT
ejpam-4066	258	20	we	we	PRON
ejpam-4066	258	21	obtain	obtain	VERB
ejpam-4066	258	22	y(t	y(t	PUNCT
ejpam-4066	258	23	)	)	PUNCT
ejpam-4066	259	1	=	=	SYM
ejpam-4066	259	2	c1	c1	PROPN
ejpam-4066	259	3	3	3	NUM
ejpam-4066	259	4	t	t	NOUN
ejpam-4066	259	5	as	as	ADP
ejpam-4066	259	6	a	a	DET
ejpam-4066	259	7	solution	solution	NOUN
ejpam-4066	259	8	of	of	ADP
ejpam-4066	259	9	(	(	PUNCT
ejpam-4066	259	10	7	7	NUM
ejpam-4066	259	11	)	)	PUNCT
ejpam-4066	259	12	.	.	PUNCT
ejpam-4066	260	1	it	it	PRON
ejpam-4066	260	2	is	be	AUX
ejpam-4066	260	3	not	not	PART
ejpam-4066	260	4	difficult	difficult	ADJ
ejpam-4066	260	5	to	to	PART
ejpam-4066	260	6	show	show	VERB
ejpam-4066	260	7	that	that	PRON
ejpam-4066	260	8	y(t	y(t	NOUN
ejpam-4066	260	9	)	)	PUNCT
ejpam-4066	261	1	=	=	SYM
ejpam-4066	261	2	c1	c1	NOUN
ejpam-4066	261	3	3	3	NUM
ejpam-4066	261	4	t	t	NOUN
ejpam-4066	261	5	satisfies	satisfie	NOUN
ejpam-4066	261	6	(	(	PUNCT
ejpam-4066	261	7	7	7	NUM
ejpam-4066	261	8	)	)	PUNCT
ejpam-4066	261	9	.	.	PUNCT
ejpam-4066	262	1	example	example	NOUN
ejpam-4066	263	1	4	4	X
ejpam-4066	263	2	.	.	PUNCT
ejpam-4066	263	3	consider	consider	VERB
ejpam-4066	263	4	the	the	DET
ejpam-4066	263	5	ordinary	ordinary	ADJ
ejpam-4066	263	6	differential	differential	ADJ
ejpam-4066	263	7	equation	equation	NOUN
ejpam-4066	263	8	with	with	ADP
ejpam-4066	263	9	variable	variable	ADJ
ejpam-4066	263	10	coefficients	coefficient	NOUN
ejpam-4066	263	11	of	of	ADP
ejpam-4066	263	12	the	the	DET
ejpam-4066	263	13	form	form	NOUN
ejpam-4066	263	14	t3y′′′(t	t3y′′′(t	NOUN
ejpam-4066	263	15	)	)	PUNCT
ejpam-4066	264	1	+	+	CCONJ
ejpam-4066	264	2	9t2y′′(t	9t2y′′(t	NUM
ejpam-4066	264	3	)	)	PUNCT
ejpam-4066	264	4	+	+	NUM
ejpam-4066	265	1	18ty′(t	18ty′(t	NUM
ejpam-4066	265	2	)	)	PUNCT
ejpam-4066	265	3	+	+	X
ejpam-4066	265	4	6y(t	6y(t	NUM
ejpam-4066	265	5	)	)	PUNCT
ejpam-4066	266	1	=	=	SYM
ejpam-4066	267	1	t.	t.	NOUN
ejpam-4066	267	2	(	(	PUNCT
ejpam-4066	267	3	8)	8)	NUM
ejpam-4066	267	4	from	from	ADP
ejpam-4066	267	5	(	(	PUNCT
ejpam-4066	267	6	4	4	NUM
ejpam-4066	267	7	)	)	PUNCT
ejpam-4066	267	8	and	and	CCONJ
ejpam-4066	267	9	(	(	PUNCT
ejpam-4066	267	10	8)	8)	NUM
ejpam-4066	267	11	,	,	PUNCT
ejpam-4066	267	12	we	we	PRON
ejpam-4066	267	13	have	have	VERB
ejpam-4066	267	14	a3	a3	NOUN
ejpam-4066	267	15	=	=	SYM
ejpam-4066	267	16	1	1	NUM
ejpam-4066	267	17	,	,	PUNCT
ejpam-4066	267	18	b2	b2	NOUN
ejpam-4066	267	19	=	=	SYM
ejpam-4066	267	20	9	9	NUM
ejpam-4066	267	21	,	,	PUNCT
ejpam-4066	267	22	c1	c1	NOUN
ejpam-4066	267	23	=	=	NOUN
ejpam-4066	267	24	8	8	NUM
ejpam-4066	267	25	,	,	PUNCT
ejpam-4066	267	26	d0	d0	NOUN
ejpam-4066	267	27	=	=	SYM
ejpam-4066	267	28	6	6	NUM
ejpam-4066	267	29	,	,	PUNCT
ejpam-4066	267	30	a0	a0	NOUN
ejpam-4066	267	31	=	=	SYM
ejpam-4066	267	32	a1	a1	PROPN
ejpam-4066	267	33	=	=	PROPN
ejpam-4066	267	34	a2	a2	PROPN
ejpam-4066	267	35	=	=	SYM
ejpam-4066	267	36	0	0	NUM
ejpam-4066	267	37	,	,	PUNCT
ejpam-4066	267	38	b0	b0	NOUN
ejpam-4066	267	39	=	=	SYM
ejpam-4066	267	40	b1	b1	PROPN
ejpam-4066	267	41	=	=	SYM
ejpam-4066	267	42	b3	b3	PROPN
ejpam-4066	267	43	=	=	SYM
ejpam-4066	267	44	0	0	NUM
ejpam-4066	267	45	,	,	PUNCT
ejpam-4066	267	46	c0	c0	NOUN
ejpam-4066	267	47	=	=	SYM
ejpam-4066	267	48	c2	c2	PROPN
ejpam-4066	267	49	=	=	PROPN
ejpam-4066	267	50	c3	c3	PROPN
ejpam-4066	267	51	=	=	SYM
ejpam-4066	267	52	0	0	NUM
ejpam-4066	267	53	,	,	PUNCT
ejpam-4066	267	54	d1	d1	PROPN
ejpam-4066	267	55	=	=	SYM
ejpam-4066	267	56	d2	d2	PROPN
ejpam-4066	267	57	=	=	PUNCT
ejpam-4066	267	58	d3	d3	PROPN
ejpam-4066	267	59	=	=	SYM
ejpam-4066	267	60	0	0	NUM
ejpam-4066	267	61	,	,	PUNCT
ejpam-4066	267	62	and	and	CCONJ
ejpam-4066	267	63	we	we	PRON
ejpam-4066	267	64	define	define	VERB
ejpam-4066	267	65	α	α	NOUN
ejpam-4066	267	66	=	=	SYM
ejpam-4066	267	67	2	2	NUM
ejpam-4066	267	68	to	to	PART
ejpam-4066	267	69	satisfy	satisfy	VERB
ejpam-4066	267	70	with	with	ADP
ejpam-4066	267	71	the	the	DET
ejpam-4066	267	72	conditions	condition	NOUN
ejpam-4066	267	73	of	of	ADP
ejpam-4066	267	74	theorem	theorem	NOUN
ejpam-4066	267	75	2	2	NUM
ejpam-4066	267	76	,	,	PUNCT
ejpam-4066	267	77	so	so	ADV
ejpam-4066	267	78	using	use	VERB
ejpam-4066	267	79	the	the	DET
ejpam-4066	267	80	g2	g2	PROPN
ejpam-4066	267	81	-	-	PUNCT
ejpam-4066	267	82	transform	transform	NOUN
ejpam-4066	267	83	leads	lead	VERB
ejpam-4066	267	84	to	to	PART
ejpam-4066	267	85	find	find	VERB
ejpam-4066	267	86	the	the	DET
ejpam-4066	267	87	solution	solution	NOUN
ejpam-4066	267	88	of	of	ADP
ejpam-4066	267	89	(	(	PUNCT
ejpam-4066	267	90	8)	8)	NUM
ejpam-4066	267	91	.	.	PUNCT
ejpam-4066	267	92	by	by	ADP
ejpam-4066	267	93	applying	apply	VERB
ejpam-4066	267	94	the	the	DET
ejpam-4066	267	95	g2	g2	PROPN
ejpam-4066	267	96	-	-	PUNCT
ejpam-4066	267	97	transform	transform	NOUN
ejpam-4066	267	98	to	to	ADP
ejpam-4066	267	99	(	(	PUNCT
ejpam-4066	267	100	8)	8)	NUM
ejpam-4066	267	101	and	and	CCONJ
ejpam-4066	267	102	using	use	VERB
ejpam-4066	267	103	lemma	lemma	PROPN
ejpam-4066	267	104	3	3	NUM
ejpam-4066	267	105	,	,	PUNCT
ejpam-4066	267	106	we	we	PRON
ejpam-4066	267	107	obtain	obtain	VERB
ejpam-4066	267	108	g2{t3y′′′(t)}+g2{9t2y′′(t)}+g2{18ty′(t)}+g2{6y(t	g2{t3y′′′(t)}+g2{9t2y′′(t)}+g2{18ty′(t)}+g2{6y(t	NOUN
ejpam-4066	267	109	)	)	PUNCT
ejpam-4066	267	110	}	}	PUNCT
ejpam-4066	267	111	=	=	PUNCT
ejpam-4066	267	112	g2{t	g2{t	NOUN
ejpam-4066	267	113	}	}	PUNCT
ejpam-4066	267	114	u3f	u3f	ADJ
ejpam-4066	267	115	′′′(u)−	′′′(u)−	ADV
ejpam-4066	267	116	9u2f	9u2f	NUM
ejpam-4066	267	117	′′(u	′′(u	NOUN
ejpam-4066	267	118	)	)	PUNCT
ejpam-4066	267	119	+	+	NUM
ejpam-4066	267	120	36uf	36uf	ADJ
ejpam-4066	267	121	′(u)−	′(u)−	PROPN
ejpam-4066	267	122	60f	60f	NOUN
ejpam-4066	267	123	(	(	PUNCT
ejpam-4066	267	124	u	u	NOUN
ejpam-4066	267	125	)	)	PUNCT
ejpam-4066	267	126	+	+	NOUN
ejpam-4066	267	127	9u2f	9u2f	NUM
ejpam-4066	267	128	′′(u)−	′′(u)−	NOUN
ejpam-4066	267	129	54uf	54uf	ADJ
ejpam-4066	267	130	′(u	′(u	NOUN
ejpam-4066	267	131	)	)	PUNCT
ejpam-4066	268	1	+	+	CCONJ
ejpam-4066	269	1	108f	108f	NUM
ejpam-4066	269	2	(	(	PUNCT
ejpam-4066	269	3	u	u	NOUN
ejpam-4066	269	4	)	)	PUNCT
ejpam-4066	269	5	+18uf	+18uf	PROPN
ejpam-4066	269	6	′(u)−	′(u)−	NOUN
ejpam-4066	269	7	54f	54f	X
ejpam-4066	269	8	(	(	PUNCT
ejpam-4066	269	9	u	u	NOUN
ejpam-4066	269	10	)	)	PUNCT
ejpam-4066	269	11	+	+	CCONJ
ejpam-4066	269	12	6f	6f	NUM
ejpam-4066	269	13	(	(	PUNCT
ejpam-4066	269	14	u	u	NOUN
ejpam-4066	269	15	)	)	PUNCT
ejpam-4066	269	16	=	=	SYM
ejpam-4066	269	17	u4	u4	PROPN
ejpam-4066	269	18	.	.	PROPN
ejpam-4066	270	1	then	then	ADV
ejpam-4066	270	2	,	,	PUNCT
ejpam-4066	270	3	we	we	PRON
ejpam-4066	270	4	have	have	VERB
ejpam-4066	270	5	f	f	PROPN
ejpam-4066	270	6	′′′(u	′′′(u	PROPN
ejpam-4066	270	7	)	)	PUNCT
ejpam-4066	270	8	=	=	PUNCT
ejpam-4066	271	1	u.	u.	NOUN
ejpam-4066	271	2	by	by	ADP
ejpam-4066	271	3	integration	integration	NOUN
ejpam-4066	271	4	both	both	DET
ejpam-4066	271	5	sides	side	NOUN
ejpam-4066	271	6	,	,	PUNCT
ejpam-4066	271	7	we	we	PRON
ejpam-4066	271	8	obtain	obtain	VERB
ejpam-4066	271	9	f	f	PROPN
ejpam-4066	271	10	(	(	PUNCT
ejpam-4066	271	11	u	u	NOUN
ejpam-4066	271	12	)	)	PUNCT
ejpam-4066	271	13	=	=	SYM
ejpam-4066	271	14	1	1	NUM
ejpam-4066	271	15	24	24	NUM
ejpam-4066	271	16	u4	u4	PROPN
ejpam-4066	271	17	+	+	PROPN
ejpam-4066	271	18	c1	c1	PROPN
ejpam-4066	271	19	2	2	NUM
ejpam-4066	271	20	u2	u2	PROPN
ejpam-4066	271	21	+	+	CCONJ
ejpam-4066	271	22	c2u+	c2u+	PROPN
ejpam-4066	271	23	c3	c3	NOUN
ejpam-4066	271	24	,	,	PUNCT
ejpam-4066	271	25	where	where	SCONJ
ejpam-4066	271	26	c1	c1	PROPN
ejpam-4066	271	27	,	,	PUNCT
ejpam-4066	271	28	c2	c2	PROPN
ejpam-4066	271	29	,	,	PUNCT
ejpam-4066	271	30	and	and	CCONJ
ejpam-4066	271	31	c3	c3	PROPN
ejpam-4066	271	32	are	be	AUX
ejpam-4066	271	33	constants	constant	NOUN
ejpam-4066	271	34	.	.	PUNCT
ejpam-4066	272	1	letting	let	VERB
ejpam-4066	272	2	c1	c1	PROPN
ejpam-4066	272	3	=	=	PROPN
ejpam-4066	272	4	c2	c2	PROPN
ejpam-4066	272	5	=	=	SYM
ejpam-4066	272	6	c3	c3	PROPN
ejpam-4066	272	7	=	=	SYM
ejpam-4066	272	8	0	0	NUM
ejpam-4066	272	9	,	,	PUNCT
ejpam-4066	272	10	we	we	PRON
ejpam-4066	272	11	get	get	VERB
ejpam-4066	272	12	f	f	PROPN
ejpam-4066	272	13	(	(	PUNCT
ejpam-4066	272	14	u	u	NOUN
ejpam-4066	272	15	)	)	PUNCT
ejpam-4066	272	16	=	=	SYM
ejpam-4066	272	17	1	1	NUM
ejpam-4066	272	18	24	24	NUM
ejpam-4066	272	19	u4	u4	NOUN
ejpam-4066	272	20	.	.	PUNCT
ejpam-4066	273	1	by	by	ADP
ejpam-4066	273	2	using	use	VERB
ejpam-4066	273	3	lemma	lemma	PROPN
ejpam-4066	273	4	4	4	NUM
ejpam-4066	273	5	and	and	CCONJ
ejpam-4066	273	6	the	the	DET
ejpam-4066	273	7	inverse	inverse	NOUN
ejpam-4066	273	8	g2	g2	PROPN
ejpam-4066	273	9	-	-	PUNCT
ejpam-4066	273	10	transform	transform	NOUN
ejpam-4066	273	11	,	,	PUNCT
ejpam-4066	273	12	thus	thus	ADV
ejpam-4066	273	13	the	the	DET
ejpam-4066	273	14	inverse	inverse	NOUN
ejpam-4066	273	15	of	of	ADP
ejpam-4066	273	16	u4	u4	PROPN
ejpam-4066	273	17	is	be	AUX
ejpam-4066	273	18	t	t	PROPN
ejpam-4066	273	19	,	,	PUNCT
ejpam-4066	273	20	we	we	PRON
ejpam-4066	273	21	obtain	obtain	VERB
ejpam-4066	273	22	y(t	y(t	PUNCT
ejpam-4066	273	23	)	)	PUNCT
ejpam-4066	273	24	=	=	SYM
ejpam-4066	274	1	1	1	NUM
ejpam-4066	274	2	24	24	NUM
ejpam-4066	274	3	t	t	NOUN
ejpam-4066	274	4	as	as	ADP
ejpam-4066	274	5	a	a	DET
ejpam-4066	274	6	solution	solution	NOUN
ejpam-4066	274	7	of	of	ADP
ejpam-4066	274	8	(	(	PUNCT
ejpam-4066	274	9	8)	8)	NUM
ejpam-4066	274	10	.	.	PUNCT
ejpam-4066	275	1	the	the	DET
ejpam-4066	275	2	next	next	ADJ
ejpam-4066	275	3	example	example	NOUN
ejpam-4066	275	4	will	will	AUX
ejpam-4066	275	5	show	show	VERB
ejpam-4066	275	6	that	that	SCONJ
ejpam-4066	275	7	if	if	SCONJ
ejpam-4066	275	8	the	the	DET
ejpam-4066	275	9	conditions	condition	NOUN
ejpam-4066	275	10	do	do	AUX
ejpam-4066	275	11	not	not	PART
ejpam-4066	275	12	satisfy	satisfy	VERB
ejpam-4066	275	13	theorem	theorem	ADJ
ejpam-4066	275	14	2	2	NUM
ejpam-4066	275	15	,	,	PUNCT
ejpam-4066	275	16	then	then	ADV
ejpam-4066	275	17	it	it	PRON
ejpam-4066	275	18	is	be	AUX
ejpam-4066	275	19	not	not	PART
ejpam-4066	275	20	suitable	suitable	ADJ
ejpam-4066	275	21	to	to	PART
ejpam-4066	275	22	solve	solve	VERB
ejpam-4066	275	23	by	by	ADP
ejpam-4066	275	24	this	this	DET
ejpam-4066	275	25	method	method	NOUN
ejpam-4066	275	26	as	as	ADP
ejpam-4066	275	27	the	the	DET
ejpam-4066	275	28	following	following	NOUN
ejpam-4066	275	29	.	.	PUNCT
ejpam-4066	276	1	example	example	NOUN
ejpam-4066	276	2	5	5	NUM
ejpam-4066	276	3	.	.	PUNCT
ejpam-4066	277	1	consider	consider	VERB
ejpam-4066	277	2	the	the	DET
ejpam-4066	277	3	ordinary	ordinary	ADJ
ejpam-4066	277	4	differential	differential	ADJ
ejpam-4066	277	5	equation	equation	NOUN
ejpam-4066	277	6	with	with	ADP
ejpam-4066	277	7	variable	variable	ADJ
ejpam-4066	277	8	coefficients	coefficient	NOUN
ejpam-4066	277	9	of	of	ADP
ejpam-4066	277	10	the	the	DET
ejpam-4066	277	11	form	form	NOUN
ejpam-4066	277	12	(	(	PUNCT
ejpam-4066	277	13	t3	t3	NOUN
ejpam-4066	277	14	+	+	CCONJ
ejpam-4066	277	15	t)y′′′(t	t)y′′′(t	NOUN
ejpam-4066	277	16	)	)	PUNCT
ejpam-4066	277	17	+	+	CCONJ
ejpam-4066	278	1	6t2y′′(t	6t2y′′(t	X
ejpam-4066	278	2	)	)	PUNCT
ejpam-4066	278	3	+	+	NUM
ejpam-4066	278	4	6ty′(t	6ty′(t	X
ejpam-4066	278	5	)	)	PUNCT
ejpam-4066	278	6	=	=	SYM
ejpam-4066	278	7	t2	t2	NOUN
ejpam-4066	278	8	.	.	PUNCT
ejpam-4066	279	1	(	(	PUNCT
ejpam-4066	279	2	9	9	NUM
ejpam-4066	279	3	)	)	PUNCT
ejpam-4066	279	4	from	from	ADP
ejpam-4066	279	5	(	(	PUNCT
ejpam-4066	279	6	4	4	NUM
ejpam-4066	279	7	)	)	PUNCT
ejpam-4066	279	8	and	and	CCONJ
ejpam-4066	279	9	(	(	PUNCT
ejpam-4066	279	10	9	9	NUM
ejpam-4066	279	11	)	)	PUNCT
ejpam-4066	279	12	,	,	PUNCT
ejpam-4066	279	13	we	we	PRON
ejpam-4066	279	14	have	have	VERB
ejpam-4066	279	15	a3	a3	NOUN
ejpam-4066	279	16	=	=	SYM
ejpam-4066	279	17	1	1	NUM
ejpam-4066	279	18	,	,	PUNCT
ejpam-4066	279	19	c3	c3	NOUN
ejpam-4066	279	20	=	=	SYM
ejpam-4066	279	21	1	1	NUM
ejpam-4066	279	22	,	,	PUNCT
ejpam-4066	279	23	b2	b2	NOUN
ejpam-4066	279	24	=	=	SYM
ejpam-4066	279	25	6	6	NUM
ejpam-4066	279	26	,	,	PUNCT
ejpam-4066	279	27	c1	c1	NOUN
ejpam-4066	279	28	=	=	PROPN
ejpam-4066	279	29	6	6	NUM
ejpam-4066	279	30	,	,	PUNCT
ejpam-4066	279	31	a0	a0	NOUN
ejpam-4066	279	32	=	=	SYM
ejpam-4066	279	33	a1	a1	PROPN
ejpam-4066	279	34	=	=	PROPN
ejpam-4066	279	35	a2	a2	PROPN
ejpam-4066	279	36	=	=	SYM
ejpam-4066	279	37	0	0	NUM
ejpam-4066	279	38	,	,	PUNCT
ejpam-4066	279	39	b0	b0	NOUN
ejpam-4066	279	40	=	=	SYM
ejpam-4066	279	41	b1	b1	PROPN
ejpam-4066	279	42	=	=	SYM
ejpam-4066	279	43	b3	b3	PROPN
ejpam-4066	279	44	=	=	SYM
ejpam-4066	279	45	0	0	NUM
ejpam-4066	279	46	,	,	PUNCT
ejpam-4066	279	47	c0	c0	NOUN
ejpam-4066	279	48	=	=	SYM
ejpam-4066	279	49	c2	c2	PROPN
ejpam-4066	279	50	=	=	SYM
ejpam-4066	279	51	0	0	PROPN
ejpam-4066	279	52	,	,	PUNCT
ejpam-4066	279	53	d0	d0	NOUN
ejpam-4066	279	54	=	=	SYM
ejpam-4066	279	55	d1	d1	PROPN
ejpam-4066	279	56	=	=	SYM
ejpam-4066	279	57	d2	d2	PROPN
ejpam-4066	279	58	=	=	PUNCT
ejpam-4066	279	59	d3	d3	PROPN
ejpam-4066	279	60	=	=	SYM
ejpam-4066	279	61	0	0	PROPN
ejpam-4066	279	62	,	,	PUNCT
ejpam-4066	279	63	s.	s.	PROPN
ejpam-4066	279	64	sattaso	sattaso	PROPN
ejpam-4066	279	65	et	et	PROPN
ejpam-4066	279	66	al	al	PROPN
ejpam-4066	279	67	.	.	PUNCT
ejpam-4066	279	68	/	/	SYM
ejpam-4066	279	69	eur	eur	PROPN
ejpam-4066	279	70	.	.	PUNCT
ejpam-4066	280	1	j.	j.	PROPN
ejpam-4066	280	2	pure	pure	PROPN
ejpam-4066	280	3	appl	appl	PROPN
ejpam-4066	280	4	.	.	PROPN
ejpam-4066	280	5	math	math	PROPN
ejpam-4066	280	6	,	,	PUNCT
ejpam-4066	280	7	14	14	NUM
ejpam-4066	280	8	(	(	PUNCT
ejpam-4066	280	9	4	4	NUM
ejpam-4066	280	10	)	)	PUNCT
ejpam-4066	280	11	(	(	PUNCT
ejpam-4066	280	12	2021	2021	NUM
ejpam-4066	280	13	)	)	PUNCT
ejpam-4066	280	14	,	,	PUNCT
ejpam-4066	280	15	1184	1184	NUM
ejpam-4066	280	16	-	-	SYM
ejpam-4066	280	17	1199	1199	NUM
ejpam-4066	280	18	1195	1195	NUM
ejpam-4066	280	19	and	and	CCONJ
ejpam-4066	280	20	with	with	ADP
ejpam-4066	280	21	respect	respect	NOUN
ejpam-4066	280	22	to	to	ADP
ejpam-4066	280	23	the	the	DET
ejpam-4066	280	24	conditions	condition	NOUN
ejpam-4066	280	25	in	in	ADP
ejpam-4066	280	26	theorem	theorem	NOUN
ejpam-4066	280	27	2	2	NUM
ejpam-4066	280	28	,	,	PUNCT
ejpam-4066	280	29	c3	c3	PROPN
ejpam-4066	280	30	should	should	AUX
ejpam-4066	280	31	be	be	AUX
ejpam-4066	280	32	equal	equal	ADJ
ejpam-4066	280	33	to	to	ADP
ejpam-4066	280	34	0	0	NUM
ejpam-4066	280	35	,	,	PUNCT
ejpam-4066	280	36	while	while	SCONJ
ejpam-4066	280	37	c3	c3	PROPN
ejpam-4066	280	38	is	be	AUX
ejpam-4066	280	39	equal	equal	ADJ
ejpam-4066	280	40	to	to	ADP
ejpam-4066	280	41	1	1	NUM
ejpam-4066	280	42	.	.	PUNCT
ejpam-4066	281	1	therefore	therefore	ADV
ejpam-4066	281	2	,	,	PUNCT
ejpam-4066	281	3	the	the	DET
ejpam-4066	281	4	conditions	condition	NOUN
ejpam-4066	281	5	of	of	ADP
ejpam-4066	281	6	theorem	theorem	ADJ
ejpam-4066	281	7	2	2	NUM
ejpam-4066	281	8	are	be	AUX
ejpam-4066	281	9	not	not	PART
ejpam-4066	281	10	satisfied	satisfied	ADJ
ejpam-4066	281	11	.	.	PUNCT
ejpam-4066	282	1	if	if	SCONJ
ejpam-4066	282	2	we	we	PRON
ejpam-4066	282	3	take	take	VERB
ejpam-4066	282	4	gα	gα	NOUN
ejpam-4066	282	5	-	-	PUNCT
ejpam-4066	282	6	transform	transform	VERB
ejpam-4066	282	7	both	both	DET
ejpam-4066	282	8	sides	side	NOUN
ejpam-4066	282	9	of	of	ADP
ejpam-4066	282	10	(	(	PUNCT
ejpam-4066	282	11	9	9	NUM
ejpam-4066	282	12	)	)	PUNCT
ejpam-4066	282	13	,	,	PUNCT
ejpam-4066	282	14	we	we	PRON
ejpam-4066	282	15	obtain	obtain	VERB
ejpam-4066	282	16	gα{(t3	gα{(t3	X
ejpam-4066	282	17	+	+	NUM
ejpam-4066	282	18	t)y′′′(t)}+gα{6t2y′′(t)}+gα{6ty′(t	t)y′′′(t)}+gα{6t2y′′(t)}+gα{6ty′(t	NOUN
ejpam-4066	282	19	)	)	PUNCT
ejpam-4066	282	20	}	}	PUNCT
ejpam-4066	282	21	=	=	PUNCT
ejpam-4066	282	22	gα{t2	gα{t2	ADJ
ejpam-4066	282	23	}	}	PUNCT
ejpam-4066	282	24	u3f	u3f	ADJ
ejpam-4066	282	25	′′′(u)−	′′′(u)−	NOUN
ejpam-4066	282	26	[	[	X
ejpam-4066	282	27	3	3	NUM
ejpam-4066	282	28	+	+	SYM
ejpam-4066	282	29	3(α−	3(α−	NUM
ejpam-4066	282	30	2)]u2f	2)]u2f	NUM
ejpam-4066	282	31	′′(u	′′(u	NOUN
ejpam-4066	282	32	)	)	PUNCT
ejpam-4066	282	33	+	+	CCONJ
ejpam-4066	283	1	[	[	PUNCT
ejpam-4066	283	2	18−	18−	NUM
ejpam-4066	283	3	18(α−	18(α−	NUM
ejpam-4066	283	4	2	2	NUM
ejpam-4066	283	5	)	)	PUNCT
ejpam-4066	283	6	+	+	CCONJ
ejpam-4066	284	1	3(α−	3(α−	NUM
ejpam-4066	284	2	2)(α−	2)(α−	NUM
ejpam-4066	284	3	1	1	NUM
ejpam-4066	284	4	)	)	PUNCT
ejpam-4066	284	5	−12(α−	−12(α−	NOUN
ejpam-4066	285	1	1	1	NUM
ejpam-4066	285	2	)	)	PUNCT
ejpam-4066	285	3	+	+	CCONJ
ejpam-4066	285	4	1	1	NUM
ejpam-4066	285	5	u2	u2	NOUN
ejpam-4066	285	6	]	]	PUNCT
ejpam-4066	285	7	uf	uf	PROPN
ejpam-4066	285	8	′(u)−	′(u)−	PROPN
ejpam-4066	285	9	[	[	PUNCT
ejpam-4066	285	10	24	24	NUM
ejpam-4066	285	11	+	+	SYM
ejpam-4066	285	12	36(α−	36(α−	NUM
ejpam-4066	285	13	2	2	NUM
ejpam-4066	285	14	)	)	PUNCT
ejpam-4066	285	15	+	+	CCONJ
ejpam-4066	286	1	9(α−	9(α−	NUM
ejpam-4066	286	2	2)(α−	2)(α−	NUM
ejpam-4066	286	3	1	1	NUM
ejpam-4066	286	4	)	)	PUNCT
ejpam-4066	287	1	+	+	PROPN
ejpam-4066	287	2	(	(	PUNCT
ejpam-4066	287	3	α−	α−	ADP
ejpam-4066	287	4	2)(α−	2)(α−	NUM
ejpam-4066	287	5	1)α+	1)α+	NUM
ejpam-4066	287	6	(	(	PUNCT
ejpam-4066	287	7	α+	α+	NOUN
ejpam-4066	287	8	3	3	NUM
ejpam-4066	287	9	)	)	SYM
ejpam-4066	287	10	1	1	NUM
ejpam-4066	287	11	u2	u2	NOUN
ejpam-4066	287	12	−	−	PROPN
ejpam-4066	287	13	24(α−	24(α−	PROPN
ejpam-4066	287	14	1	1	NUM
ejpam-4066	287	15	)	)	PUNCT
ejpam-4066	287	16	+	+	CCONJ
ejpam-4066	287	17	6(α+	6(α+	NUM
ejpam-4066	287	18	1	1	NUM
ejpam-4066	287	19	)	)	PUNCT
ejpam-4066	287	20	]	]	PUNCT
ejpam-4066	288	1	f	f	X
ejpam-4066	288	2	(	(	PUNCT
ejpam-4066	288	3	u	u	NOUN
ejpam-4066	288	4	)	)	PUNCT
ejpam-4066	288	5	=	=	SYM
ejpam-4066	288	6	2uα+3	2uα+3	NOUN
ejpam-4066	288	7	.	.	PUNCT
ejpam-4066	288	8	observe	observe	VERB
ejpam-4066	288	9	that	that	SCONJ
ejpam-4066	288	10	(	(	PUNCT
ejpam-4066	288	11	9	9	X
ejpam-4066	288	12	)	)	PUNCT
ejpam-4066	288	13	changed	change	VERB
ejpam-4066	288	14	into	into	ADP
ejpam-4066	288	15	a	a	DET
ejpam-4066	288	16	third	third	ADJ
ejpam-4066	288	17	order	order	NOUN
ejpam-4066	288	18	ordinary	ordinary	ADJ
ejpam-4066	288	19	differential	differential	ADJ
ejpam-4066	288	20	equation	equation	NOUN
ejpam-4066	288	21	with	with	ADP
ejpam-4066	288	22	variable	variable	ADJ
ejpam-4066	288	23	coefficients	coefficient	NOUN
ejpam-4066	288	24	.	.	PUNCT
ejpam-4066	289	1	thus	thus	ADV
ejpam-4066	289	2	,	,	PUNCT
ejpam-4066	289	3	by	by	ADP
ejpam-4066	289	4	using	use	VERB
ejpam-4066	289	5	gα	gα	NOUN
ejpam-4066	289	6	-	-	PUNCT
ejpam-4066	289	7	transform	transform	NOUN
ejpam-4066	289	8	did	do	AUX
ejpam-4066	289	9	not	not	PART
ejpam-4066	289	10	lead	lead	VERB
ejpam-4066	289	11	to	to	PART
ejpam-4066	289	12	find	find	VERB
ejpam-4066	289	13	the	the	DET
ejpam-4066	289	14	solution	solution	NOUN
ejpam-4066	289	15	of	of	ADP
ejpam-4066	289	16	(	(	PUNCT
ejpam-4066	289	17	9	9	NUM
ejpam-4066	289	18	)	)	PUNCT
ejpam-4066	289	19	.	.	PUNCT
ejpam-4066	290	1	example	example	NOUN
ejpam-4066	291	1	6	6	NUM
ejpam-4066	291	2	.	.	PUNCT
ejpam-4066	291	3	consider	consider	VERB
ejpam-4066	291	4	the	the	DET
ejpam-4066	291	5	ordinary	ordinary	ADJ
ejpam-4066	291	6	differential	differential	ADJ
ejpam-4066	291	7	equation	equation	NOUN
ejpam-4066	291	8	with	with	ADP
ejpam-4066	291	9	variable	variable	ADJ
ejpam-4066	291	10	coefficients	coefficient	NOUN
ejpam-4066	291	11	of	of	ADP
ejpam-4066	291	12	the	the	DET
ejpam-4066	291	13	form	form	NOUN
ejpam-4066	291	14	t3y′′′(t	t3y′′′(t	NOUN
ejpam-4066	291	15	)	)	PUNCT
ejpam-4066	292	1	+	+	CCONJ
ejpam-4066	292	2	4t2y′′(t)−	4t2y′′(t)−	PROPN
ejpam-4066	292	3	2ty′(t)−	2ty′(t)−	PROPN
ejpam-4066	292	4	4y(t	4y(t	NUM
ejpam-4066	292	5	)	)	PUNCT
ejpam-4066	293	1	=	=	PUNCT
ejpam-4066	293	2	0	0	X
ejpam-4066	293	3	.	.	PUNCT
ejpam-4066	294	1	(	(	PUNCT
ejpam-4066	294	2	10	10	NUM
ejpam-4066	294	3	)	)	PUNCT
ejpam-4066	294	4	from	from	ADP
ejpam-4066	294	5	(	(	PUNCT
ejpam-4066	294	6	4	4	NUM
ejpam-4066	294	7	)	)	PUNCT
ejpam-4066	294	8	and	and	CCONJ
ejpam-4066	294	9	(	(	PUNCT
ejpam-4066	294	10	10	10	NUM
ejpam-4066	294	11	)	)	PUNCT
ejpam-4066	294	12	,	,	PUNCT
ejpam-4066	294	13	we	we	PRON
ejpam-4066	294	14	have	have	VERB
ejpam-4066	294	15	a3	a3	NOUN
ejpam-4066	294	16	=	=	SYM
ejpam-4066	294	17	1	1	NUM
ejpam-4066	294	18	,	,	PUNCT
ejpam-4066	294	19	b2	b2	NOUN
ejpam-4066	294	20	=	=	SYM
ejpam-4066	294	21	4	4	NUM
ejpam-4066	294	22	,	,	PUNCT
ejpam-4066	294	23	c1	c1	NOUN
ejpam-4066	294	24	=	=	SYM
ejpam-4066	294	25	−2	−2	PROPN
ejpam-4066	294	26	,	,	PUNCT
ejpam-4066	294	27	d0	d0	NOUN
ejpam-4066	294	28	=	=	SYM
ejpam-4066	294	29	−4	−4	PROPN
ejpam-4066	294	30	,	,	PUNCT
ejpam-4066	294	31	a0	a0	NOUN
ejpam-4066	294	32	=	=	SYM
ejpam-4066	294	33	a1	a1	PROPN
ejpam-4066	294	34	=	=	PROPN
ejpam-4066	294	35	a2	a2	PROPN
ejpam-4066	294	36	=	=	SYM
ejpam-4066	294	37	0	0	NUM
ejpam-4066	294	38	,	,	PUNCT
ejpam-4066	294	39	b0	b0	NOUN
ejpam-4066	294	40	=	=	SYM
ejpam-4066	294	41	b1	b1	PROPN
ejpam-4066	294	42	=	=	SYM
ejpam-4066	294	43	b3	b3	PROPN
ejpam-4066	294	44	=	=	SYM
ejpam-4066	294	45	0	0	NUM
ejpam-4066	294	46	,	,	PUNCT
ejpam-4066	294	47	c0	c0	NOUN
ejpam-4066	294	48	=	=	SYM
ejpam-4066	294	49	c2	c2	PROPN
ejpam-4066	294	50	=	=	PROPN
ejpam-4066	294	51	c3	c3	PROPN
ejpam-4066	294	52	=	=	SYM
ejpam-4066	294	53	0	0	NUM
ejpam-4066	294	54	,	,	PUNCT
ejpam-4066	294	55	d1	d1	PROPN
ejpam-4066	294	56	=	=	SYM
ejpam-4066	294	57	d2	d2	PROPN
ejpam-4066	294	58	=	=	PUNCT
ejpam-4066	294	59	d3	d3	PROPN
ejpam-4066	294	60	=	=	SYM
ejpam-4066	294	61	0	0	NUM
ejpam-4066	294	62	,	,	PUNCT
ejpam-4066	294	63	and	and	CCONJ
ejpam-4066	294	64	we	we	PRON
ejpam-4066	294	65	define	define	VERB
ejpam-4066	294	66	α	α	NOUN
ejpam-4066	294	67	=	=	NOUN
ejpam-4066	294	68	1	1	NUM
ejpam-4066	294	69	to	to	PART
ejpam-4066	294	70	satisfy	satisfy	VERB
ejpam-4066	294	71	with	with	ADP
ejpam-4066	294	72	the	the	DET
ejpam-4066	294	73	conditions	condition	NOUN
ejpam-4066	294	74	of	of	ADP
ejpam-4066	294	75	remark	remark	NOUN
ejpam-4066	294	76	3	3	NUM
ejpam-4066	294	77	,	,	PUNCT
ejpam-4066	294	78	so	so	ADV
ejpam-4066	294	79	using	use	VERB
ejpam-4066	294	80	the	the	DET
ejpam-4066	294	81	g1	g1	NOUN
ejpam-4066	294	82	-	-	PUNCT
ejpam-4066	294	83	transform	transform	NOUN
ejpam-4066	294	84	leads	lead	NOUN
ejpam-4066	294	85	to	to	PART
ejpam-4066	294	86	find	find	VERB
ejpam-4066	294	87	the	the	DET
ejpam-4066	294	88	solution	solution	NOUN
ejpam-4066	294	89	of	of	ADP
ejpam-4066	294	90	(	(	PUNCT
ejpam-4066	294	91	10	10	NUM
ejpam-4066	294	92	)	)	PUNCT
ejpam-4066	294	93	.	.	PUNCT
ejpam-4066	295	1	by	by	ADP
ejpam-4066	295	2	applying	apply	VERB
ejpam-4066	295	3	the	the	DET
ejpam-4066	295	4	g1	g1	NOUN
ejpam-4066	295	5	-	-	PUNCT
ejpam-4066	295	6	transform	transform	NOUN
ejpam-4066	295	7	to	to	ADP
ejpam-4066	295	8	(	(	PUNCT
ejpam-4066	295	9	10	10	NUM
ejpam-4066	295	10	)	)	PUNCT
ejpam-4066	295	11	and	and	CCONJ
ejpam-4066	295	12	using	use	VERB
ejpam-4066	295	13	lemma	lemma	PROPN
ejpam-4066	295	14	3	3	NUM
ejpam-4066	295	15	,	,	PUNCT
ejpam-4066	295	16	we	we	PRON
ejpam-4066	295	17	obtain	obtain	VERB
ejpam-4066	295	18	g1{t3y′′′(t)}+g1{4t2y′′(t	g1{t3y′′′(t)}+g1{4t2y′′(t	NOUN
ejpam-4066	295	19	)	)	PUNCT
ejpam-4066	295	20	}	}	PUNCT
ejpam-4066	295	21	−g1{2ty′(t	−g1{2ty′(t	VERB
ejpam-4066	295	22	)	)	PUNCT
ejpam-4066	295	23	}	}	PUNCT
ejpam-4066	295	24	−g1{4y(t	−g1{4y(t	PROPN
ejpam-4066	295	25	)	)	PUNCT
ejpam-4066	295	26	}	}	PUNCT
ejpam-4066	296	1	=	=	SYM
ejpam-4066	296	2	0	0	PUNCT
ejpam-4066	297	1	u3f	u3f	ADJ
ejpam-4066	297	2	′′′(u)−	′′′(u)−	ADV
ejpam-4066	297	3	9u2f	9u2f	NUM
ejpam-4066	297	4	′′(u	′′(u	NOUN
ejpam-4066	297	5	)	)	PUNCT
ejpam-4066	298	1	+	+	NUM
ejpam-4066	298	2	36uf	36uf	ADJ
ejpam-4066	298	3	′(u)−	′(u)−	PROPN
ejpam-4066	298	4	60f	60f	NOUN
ejpam-4066	298	5	(	(	PUNCT
ejpam-4066	298	6	u	u	NOUN
ejpam-4066	298	7	)	)	PUNCT
ejpam-4066	298	8	+	+	NUM
ejpam-4066	298	9	3u2f	3u2f	ADJ
ejpam-4066	298	10	′′(u)−	′′(u)−	PROPN
ejpam-4066	298	11	18uf	18uf	ADJ
ejpam-4066	298	12	′(u	′(u	NOUN
ejpam-4066	298	13	)	)	PUNCT
ejpam-4066	298	14	+	+	NUM
ejpam-4066	298	15	36f	36f	NOUN
ejpam-4066	298	16	(	(	PUNCT
ejpam-4066	298	17	u	u	NOUN
ejpam-4066	298	18	)	)	PUNCT
ejpam-4066	298	19	+4u2f	+4u2f	ADJ
ejpam-4066	298	20	′′(u)−	′′(u)−	NOUN
ejpam-4066	298	21	16uf	16uf	ADJ
ejpam-4066	298	22	′(u	′(u	NOUN
ejpam-4066	298	23	)	)	PUNCT
ejpam-4066	299	1	+	+	NUM
ejpam-4066	299	2	24f	24f	NOUN
ejpam-4066	299	3	(	(	PUNCT
ejpam-4066	299	4	u)−	u)−	PROPN
ejpam-4066	299	5	2uf	2uf	ADJ
ejpam-4066	299	6	′(u	′(u	NOUN
ejpam-4066	299	7	)	)	PUNCT
ejpam-4066	299	8	+	+	CCONJ
ejpam-4066	299	9	2f	2f	NUM
ejpam-4066	299	10	(	(	PUNCT
ejpam-4066	299	11	u	u	NOUN
ejpam-4066	299	12	)	)	PUNCT
ejpam-4066	299	13	+	+	NUM
ejpam-4066	299	14	2f	2f	NUM
ejpam-4066	299	15	(	(	PUNCT
ejpam-4066	299	16	u)−	u)−	PROPN
ejpam-4066	299	17	4f	4f	NUM
ejpam-4066	299	18	(	(	PUNCT
ejpam-4066	299	19	u	u	NOUN
ejpam-4066	299	20	)	)	PUNCT
ejpam-4066	299	21	=	=	SYM
ejpam-4066	300	1	0	0	X
ejpam-4066	300	2	.	.	PUNCT
ejpam-4066	301	1	then	then	ADV
ejpam-4066	301	2	,	,	PUNCT
ejpam-4066	301	3	we	we	PRON
ejpam-4066	301	4	have	have	VERB
ejpam-4066	301	5	f	f	PROPN
ejpam-4066	301	6	′′′(u	′′′(u	PROPN
ejpam-4066	301	7	)	)	PUNCT
ejpam-4066	301	8	f	f	PROPN
ejpam-4066	301	9	′′(u	′′(u	PROPN
ejpam-4066	301	10	)	)	PUNCT
ejpam-4066	301	11	=	=	SYM
ejpam-4066	301	12	2	2	NUM
ejpam-4066	301	13	u	u	NOUN
ejpam-4066	301	14	.	.	PUNCT
ejpam-4066	302	1	by	by	ADP
ejpam-4066	302	2	integration	integration	NOUN
ejpam-4066	302	3	both	both	DET
ejpam-4066	302	4	sides	side	NOUN
ejpam-4066	302	5	,	,	PUNCT
ejpam-4066	302	6	we	we	PRON
ejpam-4066	302	7	obtain	obtain	VERB
ejpam-4066	302	8	lnf	lnf	PROPN
ejpam-4066	302	9	′′(u	′′(u	PROPN
ejpam-4066	302	10	)	)	PUNCT
ejpam-4066	303	1	=	=	PUNCT
ejpam-4066	303	2	ln	ln	PROPN
ejpam-4066	303	3	c1u	c1u	PROPN
ejpam-4066	303	4	2	2	NUM
ejpam-4066	303	5	or	or	CCONJ
ejpam-4066	303	6	f	f	PROPN
ejpam-4066	303	7	′′(u	′′(u	PROPN
ejpam-4066	303	8	)	)	PUNCT
ejpam-4066	303	9	=	=	SYM
ejpam-4066	303	10	c1u	c1u	PROPN
ejpam-4066	303	11	2	2	NUM
ejpam-4066	303	12	,	,	PUNCT
ejpam-4066	303	13	and	and	CCONJ
ejpam-4066	303	14	hence	hence	ADV
ejpam-4066	303	15	f	f	PROPN
ejpam-4066	303	16	(	(	PUNCT
ejpam-4066	303	17	u	u	NOUN
ejpam-4066	303	18	)	)	PUNCT
ejpam-4066	303	19	=	=	SYM
ejpam-4066	303	20	c1	c1	PROPN
ejpam-4066	303	21	12	12	NUM
ejpam-4066	303	22	u4	u4	PROPN
ejpam-4066	303	23	+	+	CCONJ
ejpam-4066	303	24	c2u+	c2u+	PROPN
ejpam-4066	303	25	c3	c3	PROPN
ejpam-4066	303	26	,	,	PUNCT
ejpam-4066	303	27	where	where	SCONJ
ejpam-4066	303	28	c1	c1	PROPN
ejpam-4066	303	29	,	,	PUNCT
ejpam-4066	303	30	c2	c2	PROPN
ejpam-4066	303	31	,	,	PUNCT
ejpam-4066	303	32	and	and	CCONJ
ejpam-4066	303	33	c3	c3	PROPN
ejpam-4066	303	34	are	be	AUX
ejpam-4066	303	35	constants	constant	NOUN
ejpam-4066	303	36	.	.	PUNCT
ejpam-4066	304	1	letting	let	VERB
ejpam-4066	304	2	c2	c2	PROPN
ejpam-4066	304	3	=	=	SYM
ejpam-4066	304	4	c3	c3	PROPN
ejpam-4066	304	5	=	=	SYM
ejpam-4066	304	6	0	0	NUM
ejpam-4066	304	7	,	,	PUNCT
ejpam-4066	304	8	we	we	PRON
ejpam-4066	304	9	get	get	VERB
ejpam-4066	304	10	f	f	PROPN
ejpam-4066	304	11	(	(	PUNCT
ejpam-4066	304	12	u	u	NOUN
ejpam-4066	304	13	)	)	PUNCT
ejpam-4066	304	14	=	=	SYM
ejpam-4066	304	15	c1	c1	PROPN
ejpam-4066	304	16	12	12	NUM
ejpam-4066	304	17	u4	u4	PROPN
ejpam-4066	304	18	.	.	PUNCT
ejpam-4066	305	1	by	by	ADP
ejpam-4066	305	2	using	use	VERB
ejpam-4066	305	3	lemma	lemma	PROPN
ejpam-4066	305	4	4	4	NUM
ejpam-4066	305	5	and	and	CCONJ
ejpam-4066	305	6	the	the	DET
ejpam-4066	305	7	inverse	inverse	NOUN
ejpam-4066	305	8	g1	g1	NOUN
ejpam-4066	305	9	-	-	PUNCT
ejpam-4066	305	10	transform	transform	NOUN
ejpam-4066	305	11	,	,	PUNCT
ejpam-4066	305	12	thus	thus	ADV
ejpam-4066	305	13	the	the	DET
ejpam-4066	305	14	inverse	inverse	NOUN
ejpam-4066	305	15	of	of	ADP
ejpam-4066	305	16	u4	u4	PROPN
ejpam-4066	305	17	is	be	AUX
ejpam-4066	305	18	t2	t2	PROPN
ejpam-4066	305	19	2	2	NUM
ejpam-4066	305	20	,	,	PUNCT
ejpam-4066	305	21	we	we	PRON
ejpam-4066	305	22	obtain	obtain	VERB
ejpam-4066	305	23	y(t	y(t	PUNCT
ejpam-4066	305	24	)	)	PUNCT
ejpam-4066	306	1	=	=	SYM
ejpam-4066	306	2	c1	c1	PROPN
ejpam-4066	306	3	24	24	NUM
ejpam-4066	306	4	t2	t2	PROPN
ejpam-4066	306	5	as	as	ADP
ejpam-4066	306	6	a	a	DET
ejpam-4066	306	7	solution	solution	NOUN
ejpam-4066	306	8	of	of	ADP
ejpam-4066	306	9	(	(	PUNCT
ejpam-4066	306	10	10	10	NUM
ejpam-4066	306	11	)	)	PUNCT
ejpam-4066	306	12	.	.	PUNCT
ejpam-4066	307	1	references	reference	NOUN
ejpam-4066	307	2	1196	1196	NUM
ejpam-4066	307	3	remark	remark	NOUN
ejpam-4066	307	4	4	4	NUM
ejpam-4066	307	5	.	.	PUNCT
ejpam-4066	308	1	we	we	PRON
ejpam-4066	308	2	can	can	AUX
ejpam-4066	308	3	see	see	VERB
ejpam-4066	308	4	that	that	DET
ejpam-4066	308	5	example	example	NOUN
ejpam-4066	308	6	1	1	NUM
ejpam-4066	308	7	,	,	PUNCT
ejpam-4066	308	8	3	3	NUM
ejpam-4066	308	9	,	,	PUNCT
ejpam-4066	308	10	and	and	CCONJ
ejpam-4066	308	11	6	6	NUM
ejpam-4066	308	12	can	can	AUX
ejpam-4066	308	13	be	be	AUX
ejpam-4066	308	14	solved	solve	VERB
ejpam-4066	308	15	by	by	ADP
ejpam-4066	308	16	g1	g1	NOUN
ejpam-4066	308	17	-	-	PUNCT
ejpam-4066	308	18	transform	transform	NOUN
ejpam-4066	308	19	,	,	PUNCT
ejpam-4066	308	20	and	and	CCONJ
ejpam-4066	308	21	example	example	NOUN
ejpam-4066	308	22	4	4	NUM
ejpam-4066	308	23	can	can	AUX
ejpam-4066	308	24	be	be	AUX
ejpam-4066	308	25	solved	solve	VERB
ejpam-4066	308	26	by	by	ADP
ejpam-4066	308	27	g2	g2	PROPN
ejpam-4066	308	28	-	-	PUNCT
ejpam-4066	308	29	transform	transform	NOUN
ejpam-4066	308	30	,	,	PUNCT
ejpam-4066	308	31	it	it	PRON
ejpam-4066	308	32	is	be	AUX
ejpam-4066	308	33	clear	clear	ADJ
ejpam-4066	308	34	that	that	SCONJ
ejpam-4066	308	35	sumudu	sumudu	NOUN
ejpam-4066	308	36	transform	transform	NOUN
ejpam-4066	308	37	can	can	AUX
ejpam-4066	308	38	not	not	PART
ejpam-4066	308	39	be	be	AUX
ejpam-4066	308	40	solved	solve	VERB
ejpam-4066	308	41	for	for	ADP
ejpam-4066	308	42	these	these	DET
ejpam-4066	308	43	ordinary	ordinary	ADJ
ejpam-4066	308	44	differential	differential	ADJ
ejpam-4066	308	45	equations	equation	NOUN
ejpam-4066	308	46	.	.	PUNCT
ejpam-4066	309	1	remark	remark	PROPN
ejpam-4066	309	2	5	5	NUM
ejpam-4066	309	3	.	.	PUNCT
ejpam-4066	310	1	if	if	SCONJ
ejpam-4066	310	2	we	we	PRON
ejpam-4066	310	3	choose	choose	VERB
ejpam-4066	310	4	the	the	DET
ejpam-4066	310	5	suitable	suitable	ADJ
ejpam-4066	310	6	value	value	NOUN
ejpam-4066	310	7	for	for	ADP
ejpam-4066	310	8	α	α	PROPN
ejpam-4066	310	9	and	and	CCONJ
ejpam-4066	310	10	the	the	DET
ejpam-4066	310	11	problem	problem	NOUN
ejpam-4066	310	12	is	be	AUX
ejpam-4066	310	13	consistent	consistent	ADJ
ejpam-4066	310	14	with	with	ADP
ejpam-4066	310	15	the	the	DET
ejpam-4066	310	16	conditions	condition	NOUN
ejpam-4066	310	17	of	of	ADP
ejpam-4066	310	18	theorem	theorem	ADJ
ejpam-4066	310	19	1	1	NUM
ejpam-4066	310	20	or	or	CCONJ
ejpam-4066	310	21	theorem	theorem	VERB
ejpam-4066	310	22	2	2	NUM
ejpam-4066	310	23	,	,	PUNCT
ejpam-4066	310	24	then	then	ADV
ejpam-4066	310	25	we	we	PRON
ejpam-4066	310	26	can	can	AUX
ejpam-4066	310	27	easily	easily	ADV
ejpam-4066	310	28	find	find	VERB
ejpam-4066	310	29	the	the	DET
ejpam-4066	310	30	solution	solution	NOUN
ejpam-4066	310	31	of	of	ADP
ejpam-4066	310	32	the	the	DET
ejpam-4066	310	33	ordinary	ordinary	ADJ
ejpam-4066	310	34	differential	differential	ADJ
ejpam-4066	310	35	equation	equation	NOUN
ejpam-4066	310	36	.	.	PUNCT
ejpam-4066	311	1	but	but	CCONJ
ejpam-4066	311	2	if	if	SCONJ
ejpam-4066	311	3	the	the	DET
ejpam-4066	311	4	problem	problem	NOUN
ejpam-4066	311	5	is	be	AUX
ejpam-4066	311	6	not	not	PART
ejpam-4066	311	7	consistent	consistent	ADJ
ejpam-4066	311	8	with	with	ADP
ejpam-4066	311	9	the	the	DET
ejpam-4066	311	10	conditions	condition	NOUN
ejpam-4066	311	11	of	of	ADP
ejpam-4066	311	12	theorem	theorem	ADJ
ejpam-4066	311	13	1	1	NUM
ejpam-4066	311	14	or	or	CCONJ
ejpam-4066	311	15	theorem	theorem	VERB
ejpam-4066	311	16	2	2	NUM
ejpam-4066	311	17	,	,	PUNCT
ejpam-4066	311	18	it	it	PRON
ejpam-4066	311	19	will	will	AUX
ejpam-4066	311	20	be	be	AUX
ejpam-4066	311	21	difficult	difficult	ADJ
ejpam-4066	311	22	to	to	PART
ejpam-4066	311	23	find	find	VERB
ejpam-4066	311	24	the	the	DET
ejpam-4066	311	25	solution	solution	NOUN
ejpam-4066	311	26	of	of	ADP
ejpam-4066	311	27	the	the	DET
ejpam-4066	311	28	ordinary	ordinary	ADJ
ejpam-4066	311	29	differential	differential	ADJ
ejpam-4066	311	30	equation	equation	NOUN
ejpam-4066	311	31	.	.	PUNCT
ejpam-4066	312	1	5	5	X
ejpam-4066	312	2	.	.	X
ejpam-4066	312	3	conclusions	conclusion	NOUN
ejpam-4066	312	4	we	we	PRON
ejpam-4066	312	5	obtained	obtain	VERB
ejpam-4066	312	6	some	some	DET
ejpam-4066	312	7	conditions	condition	NOUN
ejpam-4066	312	8	of	of	ADP
ejpam-4066	312	9	certain	certain	ADJ
ejpam-4066	312	10	ordinary	ordinary	ADJ
ejpam-4066	312	11	differential	differential	ADJ
ejpam-4066	312	12	equations	equation	NOUN
ejpam-4066	312	13	to	to	PART
ejpam-4066	312	14	ensure	ensure	VERB
ejpam-4066	312	15	that	that	SCONJ
ejpam-4066	312	16	it	it	PRON
ejpam-4066	312	17	can	can	AUX
ejpam-4066	312	18	be	be	AUX
ejpam-4066	312	19	solved	solve	VERB
ejpam-4066	312	20	by	by	ADP
ejpam-4066	312	21	gα	gα	NOUN
ejpam-4066	312	22	-	-	PUNCT
ejpam-4066	312	23	transform	transform	NOUN
ejpam-4066	312	24	.	.	PUNCT
ejpam-4066	313	1	in	in	ADP
ejpam-4066	313	2	this	this	DET
ejpam-4066	313	3	regard	regard	NOUN
ejpam-4066	313	4	,	,	PUNCT
ejpam-4066	313	5	we	we	PRON
ejpam-4066	313	6	observed	observe	VERB
ejpam-4066	313	7	that	that	SCONJ
ejpam-4066	313	8	gα	gα	NOUN
ejpam-4066	313	9	-	-	PUNCT
ejpam-4066	313	10	transform	transform	NOUN
ejpam-4066	313	11	more	more	ADV
ejpam-4066	313	12	appropriate	appropriate	ADJ
ejpam-4066	313	13	than	than	ADP
ejpam-4066	313	14	other	other	ADJ
ejpam-4066	313	15	laplace	laplace	NOUN
ejpam-4066	313	16	-	-	PUNCT
ejpam-4066	313	17	typed	type	VERB
ejpam-4066	313	18	integral	integral	ADJ
ejpam-4066	313	19	transforms	transform	NOUN
ejpam-4066	313	20	to	to	PART
ejpam-4066	313	21	solve	solve	VERB
ejpam-4066	313	22	the	the	DET
ejpam-4066	313	23	ordinary	ordinary	ADJ
ejpam-4066	313	24	differential	differential	ADJ
ejpam-4066	313	25	equations	equation	NOUN
ejpam-4066	313	26	with	with	ADP
ejpam-4066	313	27	variable	variable	ADJ
ejpam-4066	313	28	coefficients	coefficient	NOUN
ejpam-4066	313	29	by	by	ADP
ejpam-4066	313	30	choosing	choose	VERB
ejpam-4066	313	31	the	the	DET
ejpam-4066	313	32	suitable	suitable	ADJ
ejpam-4066	313	33	value	value	NOUN
ejpam-4066	313	34	for	for	ADP
ejpam-4066	313	35	α	α	NOUN
ejpam-4066	313	36	.	.	PUNCT
ejpam-4066	314	1	acknowledgements	acknowledgement	NOUN
ejpam-4066	314	2	this	this	DET
ejpam-4066	314	3	research	research	NOUN
ejpam-4066	314	4	was	be	AUX
ejpam-4066	314	5	supported	support	VERB
ejpam-4066	314	6	by	by	ADP
ejpam-4066	314	7	faculty	faculty	NOUN
ejpam-4066	314	8	of	of	ADP
ejpam-4066	314	9	sciences	science	NOUN
ejpam-4066	314	10	and	and	CCONJ
ejpam-4066	314	11	engineering	engineering	NOUN
ejpam-4066	314	12	,	,	PUNCT
ejpam-4066	314	13	kasetsart	kasetsart	PROPN
ejpam-4066	314	14	university	university	PROPN
ejpam-4066	314	15	,	,	PUNCT
ejpam-4066	314	16	chalermprakiat	chalermprakiat	PROPN
ejpam-4066	314	17	sakon	sakon	PROPN
ejpam-4066	314	18	nakhon	nakhon	PROPN
ejpam-4066	314	19	province	province	PROPN
ejpam-4066	314	20	campus	campus	PROPN
ejpam-4066	314	21	,	,	PUNCT
ejpam-4066	314	22	thailand	thailand	PROPN
ejpam-4066	314	23	.	.	PUNCT
ejpam-4066	315	1	references	reference	NOUN
ejpam-4066	315	2	[	[	X
ejpam-4066	315	3	1	1	NUM
ejpam-4066	315	4	]	]	X
ejpam-4066	315	5	k.s	k.s	PROPN
ejpam-4066	315	6	.	.	PROPN
ejpam-4066	315	7	aboodh	aboodh	PROPN
ejpam-4066	315	8	.	.	PUNCT
ejpam-4066	316	1	the	the	DET
ejpam-4066	316	2	new	new	ADJ
ejpam-4066	316	3	integral	integral	ADJ
ejpam-4066	316	4	transform	transform	NOUN
ejpam-4066	316	5	aboodh	aboodh	NOUN
ejpam-4066	316	6	transform	transform	NOUN
ejpam-4066	316	7	.	.	PUNCT
ejpam-4066	317	1	global	global	ADJ
ejpam-4066	317	2	journal	journal	PROPN
ejpam-4066	317	3	of	of	ADP
ejpam-4066	317	4	pure	pure	ADJ
ejpam-4066	317	5	and	and	CCONJ
ejpam-4066	317	6	applied	applied	ADJ
ejpam-4066	317	7	mathematics	mathematic	NOUN
ejpam-4066	317	8	,	,	PUNCT
ejpam-4066	317	9	9(1):35–43	9(1):35–43	NUM
ejpam-4066	317	10	,	,	PUNCT
ejpam-4066	317	11	2013	2013	NUM
ejpam-4066	317	12	.	.	PUNCT
ejpam-4066	318	1	[	[	X
ejpam-4066	318	2	2	2	NUM
ejpam-4066	318	3	]	]	X
ejpam-4066	318	4	h.a	h.a	PROPN
ejpam-4066	318	5	.	.	PROPN
ejpam-4066	318	6	agwa	agwa	PROPN
ejpam-4066	318	7	,	,	PUNCT
ejpam-4066	318	8	f.m	f.m	PROPN
ejpam-4066	318	9	.	.	PROPN
ejpam-4066	318	10	ali	ali	PROPN
ejpam-4066	318	11	,	,	PUNCT
ejpam-4066	318	12	and	and	CCONJ
ejpam-4066	318	13	a.	a.	NOUN
ejpam-4066	318	14	kilicman	kilicman	NOUN
ejpam-4066	318	15	.	.	PUNCT
ejpam-4066	319	1	a	a	DET
ejpam-4066	319	2	new	new	ADJ
ejpam-4066	319	3	integral	integral	ADJ
ejpam-4066	319	4	transform	transform	NOUN
ejpam-4066	319	5	on	on	ADP
ejpam-4066	319	6	time	time	NOUN
ejpam-4066	319	7	scales	scale	NOUN
ejpam-4066	319	8	and	and	CCONJ
ejpam-4066	319	9	its	its	PRON
ejpam-4066	319	10	applications	application	NOUN
ejpam-4066	319	11	.	.	PUNCT
ejpam-4066	320	1	advances	advance	NOUN
ejpam-4066	320	2	in	in	ADP
ejpam-4066	320	3	difference	difference	NOUN
ejpam-4066	320	4	equations	equation	NOUN
ejpam-4066	320	5	,	,	PUNCT
ejpam-4066	320	6	60:1–14	60:1–14	NUM
ejpam-4066	320	7	,	,	PUNCT
ejpam-4066	320	8	2012	2012	NUM
ejpam-4066	320	9	.	.	PUNCT
ejpam-4066	321	1	[	[	X
ejpam-4066	321	2	3	3	X
ejpam-4066	321	3	]	]	PUNCT
ejpam-4066	321	4	z.	z.	PROPN
ejpam-4066	321	5	al	al	PROPN
ejpam-4066	321	6	-	-	PUNCT
ejpam-4066	321	7	zhour	zhour	PROPN
ejpam-4066	321	8	,	,	PUNCT
ejpam-4066	321	9	n.	n.	PROPN
ejpam-4066	321	10	al	al	PROPN
ejpam-4066	321	11	-	-	PUNCT
ejpam-4066	321	12	mutairi	mutairi	PROPN
ejpam-4066	321	13	,	,	PUNCT
ejpam-4066	321	14	f.	f.	PROPN
ejpam-4066	321	15	alrawajeh	alrawajeh	PROPN
ejpam-4066	321	16	,	,	PUNCT
ejpam-4066	321	17	and	and	CCONJ
ejpam-4066	321	18	r.	r.	PROPN
ejpam-4066	321	19	alkhasawneh	alkhasawneh	PROPN
ejpam-4066	321	20	.	.	PUNCT
ejpam-4066	322	1	new	new	ADJ
ejpam-4066	322	2	theoretical	theoretical	ADJ
ejpam-4066	322	3	results	result	NOUN
ejpam-4066	322	4	and	and	CCONJ
ejpam-4066	322	5	applications	application	NOUN
ejpam-4066	322	6	on	on	ADP
ejpam-4066	322	7	conformable	conformable	ADJ
ejpam-4066	322	8	fractional	fractional	ADJ
ejpam-4066	322	9	natural	natural	ADJ
ejpam-4066	322	10	transform	transform	NOUN
ejpam-4066	322	11	.	.	PUNCT
ejpam-4066	323	1	ain	ain	PROPN
ejpam-4066	323	2	shams	sham	NOUN
ejpam-4066	323	3	engineering	engineering	NOUN
ejpam-4066	323	4	journal	journal	NOUN
ejpam-4066	323	5	,	,	PUNCT
ejpam-4066	323	6	2(1):927–933	2(1):927–933	NUM
ejpam-4066	323	7	,	,	PUNCT
ejpam-4066	323	8	2020	2020	NUM
ejpam-4066	323	9	.	.	PUNCT
ejpam-4066	324	1	[	[	X
ejpam-4066	324	2	4	4	NUM
ejpam-4066	324	3	]	]	X
ejpam-4066	324	4	m.a	m.a	PROPN
ejpam-4066	324	5	.	.	PROPN
ejpam-4066	324	6	asiru	asiru	PROPN
ejpam-4066	324	7	.	.	PUNCT
ejpam-4066	325	1	further	further	ADJ
ejpam-4066	325	2	properties	property	NOUN
ejpam-4066	325	3	of	of	ADP
ejpam-4066	325	4	the	the	DET
ejpam-4066	325	5	sumudu	sumudu	NOUN
ejpam-4066	325	6	transform	transform	NOUN
ejpam-4066	325	7	and	and	CCONJ
ejpam-4066	325	8	its	its	PRON
ejpam-4066	325	9	applications	application	NOUN
ejpam-4066	325	10	.	.	PUNCT
ejpam-4066	326	1	international	international	ADJ
ejpam-4066	326	2	journal	journal	PROPN
ejpam-4066	326	3	of	of	ADP
ejpam-4066	326	4	mathematical	mathematical	ADJ
ejpam-4066	326	5	education	education	NOUN
ejpam-4066	326	6	in	in	ADP
ejpam-4066	326	7	science	science	NOUN
ejpam-4066	326	8	and	and	CCONJ
ejpam-4066	326	9	technology	technology	NOUN
ejpam-4066	326	10	,	,	PUNCT
ejpam-4066	326	11	33(3):441–449	33(3):441–449	PROPN
ejpam-4066	326	12	,	,	PUNCT
ejpam-4066	326	13	2002	2002	NUM
ejpam-4066	326	14	.	.	PUNCT
ejpam-4066	327	1	[	[	X
ejpam-4066	327	2	5	5	NUM
ejpam-4066	327	3	]	]	PUNCT
ejpam-4066	327	4	a.	a.	NOUN
ejpam-4066	327	5	atangana	atangana	PROPN
ejpam-4066	327	6	and	and	CCONJ
ejpam-4066	327	7	a.	a.	NOUN
ejpam-4066	327	8	akgul	akgul	NOUN
ejpam-4066	327	9	.	.	PUNCT
ejpam-4066	328	1	can	can	AUX
ejpam-4066	328	2	transfer	transfer	VERB
ejpam-4066	328	3	function	function	NOUN
ejpam-4066	328	4	and	and	CCONJ
ejpam-4066	328	5	bode	bode	ADJ
ejpam-4066	328	6	diagram	diagram	NOUN
ejpam-4066	328	7	be	be	AUX
ejpam-4066	328	8	obtained	obtain	VERB
ejpam-4066	328	9	from	from	ADP
ejpam-4066	328	10	sumudu	sumudu	NOUN
ejpam-4066	328	11	transform	transform	NOUN
ejpam-4066	328	12	.	.	PUNCT
ejpam-4066	329	1	alexandria	alexandria	PROPN
ejpam-4066	329	2	engineering	engineering	PROPN
ejpam-4066	329	3	journal	journal	PROPN
ejpam-4066	329	4	,	,	PUNCT
ejpam-4066	329	5	59:1971–1984	59:1971–1984	NUM
ejpam-4066	329	6	,	,	PUNCT
ejpam-4066	329	7	2020	2020	NUM
ejpam-4066	329	8	.	.	PUNCT
ejpam-4066	330	1	[	[	X
ejpam-4066	330	2	6	6	NUM
ejpam-4066	330	3	]	]	PUNCT
ejpam-4066	330	4	h.	h.	PROPN
ejpam-4066	330	5	bulut	bulut	PROPN
ejpam-4066	330	6	,	,	PUNCT
ejpam-4066	330	7	h.m	h.m	PROPN
ejpam-4066	330	8	.	.	PROPN
ejpam-4066	330	9	baskonus	baskonus	PROPN
ejpam-4066	330	10	,	,	PUNCT
ejpam-4066	330	11	and	and	CCONJ
ejpam-4066	330	12	s.	s.	PROPN
ejpam-4066	330	13	tuluce	tuluce	PROPN
ejpam-4066	330	14	.	.	PUNCT
ejpam-4066	331	1	the	the	DET
ejpam-4066	331	2	solutions	solution	NOUN
ejpam-4066	331	3	of	of	ADP
ejpam-4066	331	4	partial	partial	ADJ
ejpam-4066	331	5	differential	differential	ADJ
ejpam-4066	331	6	equations	equation	NOUN
ejpam-4066	331	7	with	with	ADP
ejpam-4066	331	8	variable	variable	ADJ
ejpam-4066	331	9	coefficient	coefficient	NOUN
ejpam-4066	331	10	by	by	ADP
ejpam-4066	331	11	sumudu	sumudu	NOUN
ejpam-4066	331	12	transform	transform	NOUN
ejpam-4066	331	13	method	method	NOUN
ejpam-4066	331	14	.	.	PUNCT
ejpam-4066	332	1	in	in	ADP
ejpam-4066	332	2	k	k	PROPN
ejpam-4066	332	3	girardi	girardi	PROPN
ejpam-4066	332	4	,	,	PUNCT
ejpam-4066	332	5	editor	editor	NOUN
ejpam-4066	332	6	,	,	PUNCT
ejpam-4066	332	7	9th	9th	ADJ
ejpam-4066	332	8	international	international	ADJ
ejpam-4066	332	9	conference	conference	NOUN
ejpam-4066	332	10	on	on	ADP
ejpam-4066	332	11	mathematical	mathematical	ADJ
ejpam-4066	332	12	problems	problem	NOUN
ejpam-4066	332	13	in	in	ADP
ejpam-4066	332	14	engineering	engineering	NOUN
ejpam-4066	332	15	;	;	PUNCT
ejpam-4066	332	16	the	the	DET
ejpam-4066	332	17	american	american	PROPN
ejpam-4066	332	18	institute	institute	PROPN
ejpam-4066	332	19	of	of	ADP
ejpam-4066	332	20	physics	physics	PROPN
ejpam-4066	332	21	.	.	PUNCT
ejpam-4066	332	22	,	,	PUNCT
ejpam-4066	332	23	pages	page	NOUN
ejpam-4066	332	24	91–95	91–95	NUM
ejpam-4066	332	25	,	,	PUNCT
ejpam-4066	332	26	new	new	PROPN
ejpam-4066	332	27	york	york	PROPN
ejpam-4066	332	28	,	,	PUNCT
ejpam-4066	332	29	2012	2012	NUM
ejpam-4066	332	30	.	.	PUNCT
ejpam-4066	333	1	aip	aip	PROPN
ejpam-4066	333	2	conference	conference	NOUN
ejpam-4066	333	3	proceedings	proceeding	NOUN
ejpam-4066	333	4	.	.	PUNCT
ejpam-4066	334	1	references	reference	NOUN
ejpam-4066	334	2	1197	1197	NUM
ejpam-4066	334	3	[	[	X
ejpam-4066	334	4	7	7	NUM
ejpam-4066	334	5	]	]	SYM
ejpam-4066	334	6	hj	hj	PROPN
ejpam-4066	334	7	.	.	PUNCT
ejpam-4066	335	1	kim	kim	PROPN
ejpam-4066	335	2	,	,	PUNCT
ejpam-4066	335	3	s.	s.	PROPN
ejpam-4066	335	4	beak	beak	PROPN
ejpam-4066	335	5	,	,	PUNCT
ejpam-4066	335	6	and	and	CCONJ
ejpam-4066	335	7	j.	j.	PROPN
ejpam-4066	335	8	rho	rho	PROPN
ejpam-4066	335	9	.	.	PUNCT
ejpam-4066	336	1	variant	variant	NOUN
ejpam-4066	336	2	of	of	ADP
ejpam-4066	336	3	laplace	laplace	NOUN
ejpam-4066	336	4	transform	transform	NOUN
ejpam-4066	336	5	represented	represent	VERB
ejpam-4066	336	6	by	by	ADP
ejpam-4066	336	7	a	a	DET
ejpam-4066	336	8	logarithmic	logarithmic	ADJ
ejpam-4066	336	9	function	function	NOUN
ejpam-4066	336	10	.	.	PUNCT
ejpam-4066	337	1	international	international	ADJ
ejpam-4066	337	2	journal	journal	PROPN
ejpam-4066	337	3	of	of	ADP
ejpam-4066	337	4	difference	difference	NOUN
ejpam-4066	337	5	equations	equation	NOUN
ejpam-4066	337	6	,	,	PUNCT
ejpam-4066	337	7	15(1):71–82	15(1):71–82	NUM
ejpam-4066	337	8	,	,	PUNCT
ejpam-4066	337	9	2020	2020	NUM
ejpam-4066	337	10	.	.	PUNCT
ejpam-4066	338	1	[	[	X
ejpam-4066	338	2	8	8	NUM
ejpam-4066	338	3	]	]	X
ejpam-4066	338	4	g.b	g.b	PROPN
ejpam-4066	338	5	.	.	PROPN
ejpam-4066	338	6	davis	davis	PROPN
ejpam-4066	338	7	.	.	PUNCT
ejpam-4066	339	1	a	a	DET
ejpam-4066	339	2	laplace	laplace	NOUN
ejpam-4066	339	3	transform	transform	NOUN
ejpam-4066	339	4	technique	technique	NOUN
ejpam-4066	339	5	for	for	ADP
ejpam-4066	339	6	the	the	DET
ejpam-4066	339	7	analytical	analytical	ADJ
ejpam-4066	339	8	solution	solution	NOUN
ejpam-4066	339	9	of	of	ADP
ejpam-4066	339	10	a	a	DET
ejpam-4066	339	11	diffusionconvection	diffusionconvection	NOUN
ejpam-4066	339	12	equation	equation	NOUN
ejpam-4066	339	13	over	over	ADP
ejpam-4066	339	14	a	a	DET
ejpam-4066	339	15	finite	finite	ADJ
ejpam-4066	339	16	domain	domain	NOUN
ejpam-4066	339	17	.	.	PUNCT
ejpam-4066	340	1	applied	apply	VERB
ejpam-4066	340	2	mathematical	mathematical	ADJ
ejpam-4066	340	3	modelling	modelling	NOUN
ejpam-4066	340	4	,	,	PUNCT
ejpam-4066	340	5	9:69–71	9:69–71	NOUN
ejpam-4066	340	6	,	,	PUNCT
ejpam-4066	340	7	1985	1985	NUM
ejpam-4066	340	8	.	.	PUNCT
ejpam-4066	341	1	[	[	X
ejpam-4066	341	2	9	9	NUM
ejpam-4066	341	3	]	]	PUNCT
ejpam-4066	341	4	l.	l.	PROPN
ejpam-4066	341	5	debnath	debnath	PROPN
ejpam-4066	341	6	.	.	PUNCT
ejpam-4066	342	1	integral	integral	ADJ
ejpam-4066	342	2	transforms	transform	NOUN
ejpam-4066	342	3	and	and	CCONJ
ejpam-4066	342	4	their	their	PRON
ejpam-4066	342	5	applications	application	NOUN
ejpam-4066	342	6	.	.	PUNCT
ejpam-4066	343	1	taylor	taylor	PROPN
ejpam-4066	343	2	&	&	CCONJ
ejpam-4066	343	3	francis	francis	PROPN
ejpam-4066	343	4	group	group	PROPN
ejpam-4066	343	5	,	,	PUNCT
ejpam-4066	343	6	milton	milton	PROPN
ejpam-4066	343	7	park	park	PROPN
ejpam-4066	343	8	,	,	PUNCT
ejpam-4066	343	9	oxfordshire	oxfordshire	NOUN
ejpam-4066	343	10	,	,	PUNCT
ejpam-4066	343	11	1995	1995	NUM
ejpam-4066	343	12	.	.	PUNCT
ejpam-4066	344	1	[	[	X
ejpam-4066	344	2	10	10	NUM
ejpam-4066	344	3	]	]	X
ejpam-4066	344	4	g.	g.	PROPN
ejpam-4066	344	5	doetsch	doetsch	PROPN
ejpam-4066	344	6	.	.	PUNCT
ejpam-4066	345	1	guide	guide	VERB
ejpam-4066	345	2	to	to	ADP
ejpam-4066	345	3	the	the	DET
ejpam-4066	345	4	applications	application	NOUN
ejpam-4066	345	5	of	of	ADP
ejpam-4066	345	6	laplace	laplace	NOUN
ejpam-4066	345	7	transforms	transform	VERB
ejpam-4066	345	8	.	.	PUNCT
ejpam-4066	346	1	van	van	PROPN
ejpam-4066	346	2	nostrand	nostrand	PROPN
ejpam-4066	346	3	company	company	PROPN
ejpam-4066	346	4	,	,	PUNCT
ejpam-4066	346	5	new	new	PROPN
ejpam-4066	346	6	york	york	PROPN
ejpam-4066	346	7	,	,	PUNCT
ejpam-4066	346	8	usa	usa	PROPN
ejpam-4066	346	9	,	,	PUNCT
ejpam-4066	346	10	1963	1963	NUM
ejpam-4066	346	11	.	.	PUNCT
ejpam-4066	347	1	[	[	X
ejpam-4066	347	2	11	11	NUM
ejpam-4066	347	3	]	]	X
ejpam-4066	347	4	g.	g.	PROPN
ejpam-4066	347	5	doetsch	doetsch	PROPN
ejpam-4066	347	6	.	.	PUNCT
ejpam-4066	348	1	introduction	introduction	NOUN
ejpam-4066	348	2	to	to	ADP
ejpam-4066	348	3	the	the	DET
ejpam-4066	348	4	theory	theory	NOUN
ejpam-4066	348	5	and	and	CCONJ
ejpam-4066	348	6	application	application	NOUN
ejpam-4066	348	7	of	of	ADP
ejpam-4066	348	8	the	the	DET
ejpam-4066	348	9	laplace	laplace	NOUN
ejpam-4066	348	10	transform	transform	NOUN
ejpam-4066	348	11	.	.	PUNCT
ejpam-4066	349	1	springer	springer	NOUN
ejpam-4066	349	2	-	-	PUNCT
ejpam-4066	349	3	verlag	verlag	PROPN
ejpam-4066	349	4	berlin	berlin	PROPN
ejpam-4066	349	5	heidelberg	heidelberg	PROPN
ejpam-4066	349	6	,	,	PUNCT
ejpam-4066	349	7	new	new	PROPN
ejpam-4066	349	8	york	york	PROPN
ejpam-4066	349	9	,	,	PUNCT
ejpam-4066	349	10	usa	usa	PROPN
ejpam-4066	349	11	,	,	PUNCT
ejpam-4066	349	12	1970	1970	NUM
ejpam-4066	349	13	.	.	PUNCT
ejpam-4066	350	1	[	[	X
ejpam-4066	350	2	12	12	NUM
ejpam-4066	350	3	]	]	PUNCT
ejpam-4066	350	4	a.	a.	NOUN
ejpam-4066	350	5	kilicman	kilicman	PROPN
ejpam-4066	350	6	,	,	PUNCT
ejpam-4066	350	7	h.	h.	PROPN
ejpam-4066	350	8	eltayeb	eltayeb	PROPN
ejpam-4066	350	9	,	,	PUNCT
ejpam-4066	350	10	and	and	CCONJ
ejpam-4066	350	11	r.p	r.p	PROPN
ejpam-4066	350	12	.	.	PROPN
ejpam-4066	350	13	agarwal	agarwal	PROPN
ejpam-4066	350	14	.	.	PUNCT
ejpam-4066	351	1	on	on	ADP
ejpam-4066	351	2	sumudu	sumudu	NOUN
ejpam-4066	351	3	transform	transform	NOUN
ejpam-4066	351	4	and	and	CCONJ
ejpam-4066	351	5	system	system	NOUN
ejpam-4066	351	6	of	of	ADP
ejpam-4066	351	7	differential	differential	ADJ
ejpam-4066	351	8	equations	equation	NOUN
ejpam-4066	351	9	.	.	PUNCT
ejpam-4066	352	1	abstract	abstract	ADJ
ejpam-4066	352	2	and	and	CCONJ
ejpam-4066	352	3	applied	apply	VERB
ejpam-4066	352	4	analysis	analysis	NOUN
ejpam-4066	352	5	,	,	PUNCT
ejpam-4066	352	6	11	11	NUM
ejpam-4066	352	7	pages	page	NOUN
ejpam-4066	352	8	,	,	PUNCT
ejpam-4066	352	9	2011	2011	NUM
ejpam-4066	352	10	.	.	PUNCT
ejpam-4066	353	1	[	[	X
ejpam-4066	353	2	13	13	NUM
ejpam-4066	353	3	]	]	PUNCT
ejpam-4066	353	4	a.	a.	NOUN
ejpam-4066	353	5	kilicman	kilicman	PROPN
ejpam-4066	353	6	,	,	PUNCT
ejpam-4066	353	7	h.	h.	PROPN
ejpam-4066	353	8	eltayeb	eltayeb	PROPN
ejpam-4066	353	9	,	,	PUNCT
ejpam-4066	353	10	and	and	CCONJ
ejpam-4066	353	11	k.a.m	k.a.m	ADJ
ejpam-4066	353	12	.	.	PROPN
ejpam-4066	353	13	atan	atan	PROPN
ejpam-4066	353	14	.	.	PUNCT
ejpam-4066	354	1	a	a	DET
ejpam-4066	354	2	note	note	NOUN
ejpam-4066	354	3	on	on	ADP
ejpam-4066	354	4	the	the	DET
ejpam-4066	354	5	comparison	comparison	NOUN
ejpam-4066	354	6	between	between	ADP
ejpam-4066	354	7	laplace	laplace	NOUN
ejpam-4066	354	8	and	and	CCONJ
ejpam-4066	354	9	sumudu	sumudu	NOUN
ejpam-4066	354	10	transforms	transform	VERB
ejpam-4066	354	11	.	.	PUNCT
ejpam-4066	355	1	iranian	iranian	PROPN
ejpam-4066	355	2	mathematical	mathematical	PROPN
ejpam-4066	355	3	society	society	NOUN
ejpam-4066	355	4	,	,	PUNCT
ejpam-4066	355	5	37(1):131–141	37(1):131–141	NUM
ejpam-4066	355	6	,	,	PUNCT
ejpam-4066	355	7	2011	2011	NUM
ejpam-4066	355	8	.	.	PUNCT
ejpam-4066	356	1	[	[	X
ejpam-4066	356	2	14	14	NUM
ejpam-4066	356	3	]	]	X
ejpam-4066	356	4	h.	h.	PROPN
ejpam-4066	356	5	eltayeb	eltayeb	PROPN
ejpam-4066	356	6	and	and	CCONJ
ejpam-4066	356	7	a.	a.	NOUN
ejpam-4066	356	8	kilicman	kilicman	PROPN
ejpam-4066	356	9	.	.	PUNCT
ejpam-4066	357	1	a	a	DET
ejpam-4066	357	2	note	note	NOUN
ejpam-4066	357	3	on	on	ADP
ejpam-4066	357	4	the	the	DET
ejpam-4066	357	5	sumudu	sumudu	NOUN
ejpam-4066	357	6	transforms	transform	VERB
ejpam-4066	357	7	and	and	CCONJ
ejpam-4066	357	8	differential	differential	ADJ
ejpam-4066	357	9	equations	equation	NOUN
ejpam-4066	357	10	.	.	PUNCT
ejpam-4066	358	1	applied	apply	VERB
ejpam-4066	358	2	mathematical	mathematical	ADJ
ejpam-4066	358	3	sciences	sciences	PROPN
ejpam-4066	358	4	,	,	PUNCT
ejpam-4066	358	5	4(22):1089–1098	4(22):1089–1098	NUM
ejpam-4066	358	6	,	,	PUNCT
ejpam-4066	358	7	2010	2010	NUM
ejpam-4066	358	8	.	.	PUNCT
ejpam-4066	359	1	[	[	X
ejpam-4066	359	2	15	15	NUM
ejpam-4066	359	3	]	]	X
ejpam-4066	359	4	a.a	a.a	PROPN
ejpam-4066	359	5	.	.	PROPN
ejpam-4066	359	6	alderremy	alderremy	PROPN
ejpam-4066	359	7	,	,	PUNCT
ejpam-4066	359	8	t.m	t.m	PROPN
ejpam-4066	359	9	.	.	PROPN
ejpam-4066	359	10	elzaki	elzaki	PROPN
ejpam-4066	359	11	,	,	PUNCT
ejpam-4066	359	12	and	and	CCONJ
ejpam-4066	359	13	m.	m.	NOUN
ejpam-4066	359	14	chamekh	chamekh	PROPN
ejpam-4066	359	15	.	.	PUNCT
ejpam-4066	360	1	new	new	ADJ
ejpam-4066	360	2	transform	transform	VERB
ejpam-4066	360	3	iterative	iterative	NOUN
ejpam-4066	360	4	method	method	NOUN
ejpam-4066	360	5	for	for	ADP
ejpam-4066	360	6	solving	solve	VERB
ejpam-4066	360	7	some	some	DET
ejpam-4066	360	8	klein	klein	PROPN
ejpam-4066	360	9	-	-	PUNCT
ejpam-4066	360	10	gordon	gordon	PROPN
ejpam-4066	360	11	equations	equation	NOUN
ejpam-4066	360	12	.	.	PUNCT
ejpam-4066	361	1	results	result	NOUN
ejpam-4066	361	2	in	in	ADP
ejpam-4066	361	3	physics	physics	NOUN
ejpam-4066	361	4	,	,	PUNCT
ejpam-4066	361	5	10:655–659	10:655–659	PROPN
ejpam-4066	361	6	,	,	PUNCT
ejpam-4066	361	7	2018	2018	NUM
ejpam-4066	361	8	.	.	PUNCT
ejpam-4066	362	1	[	[	X
ejpam-4066	362	2	16	16	NUM
ejpam-4066	362	3	]	]	X
ejpam-4066	362	4	t.m	t.m	PROPN
ejpam-4066	362	5	.	.	PROPN
ejpam-4066	362	6	elzaki	elzaki	PROPN
ejpam-4066	362	7	.	.	PUNCT
ejpam-4066	363	1	on	on	ADP
ejpam-4066	363	2	the	the	DET
ejpam-4066	363	3	connections	connection	NOUN
ejpam-4066	363	4	between	between	ADP
ejpam-4066	363	5	laplace	laplace	NOUN
ejpam-4066	363	6	and	and	CCONJ
ejpam-4066	363	7	elzaki	elzaki	NOUN
ejpam-4066	363	8	transforms	transform	VERB
ejpam-4066	363	9	.	.	PUNCT
ejpam-4066	364	1	advances	advance	NOUN
ejpam-4066	364	2	in	in	ADP
ejpam-4066	364	3	theoretical	theoretical	ADJ
ejpam-4066	364	4	and	and	CCONJ
ejpam-4066	364	5	applied	applied	ADJ
ejpam-4066	364	6	mathematics	mathematic	NOUN
ejpam-4066	364	7	,	,	PUNCT
ejpam-4066	364	8	6(1):1–11	6(1):1–11	NUM
ejpam-4066	364	9	,	,	PUNCT
ejpam-4066	364	10	2011	2011	NUM
ejpam-4066	364	11	.	.	PUNCT
ejpam-4066	365	1	[	[	X
ejpam-4066	365	2	17	17	NUM
ejpam-4066	365	3	]	]	X
ejpam-4066	365	4	t.m	t.m	PROPN
ejpam-4066	365	5	.	.	PROPN
ejpam-4066	365	6	elzaki	elzaki	PROPN
ejpam-4066	365	7	and	and	CCONJ
ejpam-4066	365	8	s.m	s.m	PROPN
ejpam-4066	365	9	.	.	PROPN
ejpam-4066	365	10	elzaki	elzaki	PROPN
ejpam-4066	365	11	.	.	PUNCT
ejpam-4066	366	1	on	on	ADP
ejpam-4066	366	2	the	the	DET
ejpam-4066	366	3	elzaki	elzaki	NOUN
ejpam-4066	366	4	transform	transform	VERB
ejpam-4066	366	5	and	and	CCONJ
ejpam-4066	366	6	ordinary	ordinary	ADJ
ejpam-4066	366	7	differential	differential	ADJ
ejpam-4066	366	8	equation	equation	NOUN
ejpam-4066	366	9	with	with	ADP
ejpam-4066	366	10	variable	variable	ADJ
ejpam-4066	366	11	coefficients	coefficient	NOUN
ejpam-4066	366	12	.	.	PUNCT
ejpam-4066	367	1	advances	advance	NOUN
ejpam-4066	367	2	in	in	ADP
ejpam-4066	367	3	theoretical	theoretical	ADJ
ejpam-4066	367	4	and	and	CCONJ
ejpam-4066	367	5	applied	applied	ADJ
ejpam-4066	367	6	mathematics	mathematic	NOUN
ejpam-4066	367	7	,	,	PUNCT
ejpam-4066	367	8	6(1):41–46	6(1):41–46	NUM
ejpam-4066	367	9	,	,	PUNCT
ejpam-4066	367	10	2011	2011	NUM
ejpam-4066	367	11	.	.	PUNCT
ejpam-4066	368	1	[	[	X
ejpam-4066	368	2	18	18	NUM
ejpam-4066	368	3	]	]	X
ejpam-4066	368	4	t.m	t.m	PROPN
ejpam-4066	368	5	.	.	PROPN
ejpam-4066	368	6	elzaki	elzaki	PROPN
ejpam-4066	368	7	,	,	PUNCT
ejpam-4066	368	8	s.m	s.m	PROPN
ejpam-4066	368	9	.	.	PROPN
ejpam-4066	368	10	elzaki	elzaki	PROPN
ejpam-4066	368	11	,	,	PUNCT
ejpam-4066	368	12	and	and	CCONJ
ejpam-4066	368	13	e.a	e.a	PROPN
ejpam-4066	368	14	.	.	PROPN
ejpam-4066	368	15	elnour	elnour	PROPN
ejpam-4066	368	16	.	.	PUNCT
ejpam-4066	369	1	on	on	ADP
ejpam-4066	369	2	some	some	DET
ejpam-4066	369	3	applications	application	NOUN
ejpam-4066	369	4	of	of	ADP
ejpam-4066	369	5	new	new	ADJ
ejpam-4066	369	6	integral	integral	ADJ
ejpam-4066	369	7	transform	transform	NOUN
ejpam-4066	369	8	“	"	PUNCT
ejpam-4066	369	9	elzaki	elzaki	NOUN
ejpam-4066	369	10	transform	transform	NOUN
ejpam-4066	369	11	”	"	PUNCT
ejpam-4066	369	12	.	.	PUNCT
ejpam-4066	370	1	global	global	ADJ
ejpam-4066	370	2	journal	journal	PROPN
ejpam-4066	370	3	of	of	ADP
ejpam-4066	370	4	mathematical	mathematical	ADJ
ejpam-4066	370	5	sciences	science	NOUN
ejpam-4066	370	6	:	:	PUNCT
ejpam-4066	370	7	theory	theory	NOUN
ejpam-4066	370	8	and	and	CCONJ
ejpam-4066	370	9	practical	practical	ADJ
ejpam-4066	370	10	,	,	PUNCT
ejpam-4066	370	11	4(1):15–23	4(1):15–23	NUM
ejpam-4066	370	12	,	,	PUNCT
ejpam-4066	370	13	2012	2012	NUM
ejpam-4066	370	14	.	.	PUNCT
ejpam-4066	371	1	[	[	X
ejpam-4066	371	2	19	19	NUM
ejpam-4066	371	3	]	]	X
ejpam-4066	371	4	t.m	t.m	PROPN
ejpam-4066	371	5	.	.	PROPN
ejpam-4066	371	6	elzaki	elzaki	PROPN
ejpam-4066	371	7	,	,	PUNCT
ejpam-4066	371	8	s.m	s.m	PROPN
ejpam-4066	371	9	.	.	PROPN
ejpam-4066	371	10	elzaki	elzaki	PROPN
ejpam-4066	371	11	,	,	PUNCT
ejpam-4066	371	12	and	and	CCONJ
ejpam-4066	371	13	e.m.a	e.m.a	NOUN
ejpam-4066	371	14	.	.	PUNCT
ejpam-4066	372	1	hilal	hilal	PROPN
ejpam-4066	372	2	.	.	PUNCT
ejpam-4066	373	1	elzaki	elzaki	PROPN
ejpam-4066	373	2	and	and	CCONJ
ejpam-4066	373	3	sumudu	sumudu	NOUN
ejpam-4066	373	4	transforms	transform	VERB
ejpam-4066	373	5	for	for	ADP
ejpam-4066	373	6	solving	solve	VERB
ejpam-4066	373	7	some	some	DET
ejpam-4066	373	8	differential	differential	ADJ
ejpam-4066	373	9	equations	equation	NOUN
ejpam-4066	373	10	.	.	PUNCT
ejpam-4066	374	1	global	global	ADJ
ejpam-4066	374	2	journal	journal	PROPN
ejpam-4066	374	3	of	of	ADP
ejpam-4066	374	4	pure	pure	ADJ
ejpam-4066	374	5	and	and	CCONJ
ejpam-4066	374	6	applied	applied	ADJ
ejpam-4066	374	7	mathematics	mathematic	NOUN
ejpam-4066	374	8	,	,	PUNCT
ejpam-4066	374	9	8(2):167–173	8(2):167–173	NUM
ejpam-4066	374	10	,	,	PUNCT
ejpam-4066	374	11	2012	2012	NUM
ejpam-4066	374	12	.	.	PUNCT
ejpam-4066	375	1	[	[	X
ejpam-4066	375	2	20	20	NUM
ejpam-4066	375	3	]	]	X
ejpam-4066	375	4	a.k	a.k	PROPN
ejpam-4066	375	5	.	.	PROPN
ejpam-4066	375	6	golmankhaneh	golmankhaneh	PROPN
ejpam-4066	375	7	and	and	CCONJ
ejpam-4066	375	8	t.	t.	PROPN
ejpam-4066	375	9	tunc	tunc	PROPN
ejpam-4066	375	10	.	.	PUNCT
ejpam-4066	376	1	sumudu	sumudu	NOUN
ejpam-4066	376	2	transform	transform	NOUN
ejpam-4066	376	3	in	in	ADP
ejpam-4066	376	4	fractal	fractal	ADJ
ejpam-4066	376	5	calculus	calculus	NOUN
ejpam-4066	376	6	.	.	PUNCT
ejpam-4066	377	1	applied	apply	VERB
ejpam-4066	377	2	mathematics	mathematic	NOUN
ejpam-4066	377	3	and	and	CCONJ
ejpam-4066	377	4	computation	computation	NOUN
ejpam-4066	377	5	,	,	PUNCT
ejpam-4066	377	6	350:386–401	350:386–401	NUM
ejpam-4066	377	7	,	,	PUNCT
ejpam-4066	377	8	2019	2019	NUM
ejpam-4066	377	9	.	.	PUNCT
ejpam-4066	378	1	[	[	X
ejpam-4066	378	2	21	21	NUM
ejpam-4066	378	3	]	]	X
ejpam-4066	378	4	a.c	a.c	PROPN
ejpam-4066	378	5	.	.	PROPN
ejpam-4066	378	6	grove	grove	PROPN
ejpam-4066	378	7	.	.	PUNCT
ejpam-4066	379	1	an	an	DET
ejpam-4066	379	2	introduction	introduction	NOUN
ejpam-4066	379	3	to	to	ADP
ejpam-4066	379	4	the	the	DET
ejpam-4066	379	5	laplace	laplace	NOUN
ejpam-4066	379	6	transform	transform	NOUN
ejpam-4066	379	7	and	and	CCONJ
ejpam-4066	379	8	the	the	DET
ejpam-4066	379	9	z	z	NOUN
ejpam-4066	379	10	-	-	PUNCT
ejpam-4066	379	11	transform	transform	VERB
ejpam-4066	379	12	.	.	PUNCT
ejpam-4066	379	13	prentice	prentice	PROPN
ejpam-4066	379	14	hall	hall	PROPN
ejpam-4066	379	15	,	,	PUNCT
ejpam-4066	379	16	hoboken	hoboken	PROPN
ejpam-4066	379	17	,	,	PUNCT
ejpam-4066	379	18	new	new	PROPN
ejpam-4066	379	19	jersey	jersey	PROPN
ejpam-4066	379	20	,	,	PUNCT
ejpam-4066	379	21	1991	1991	NUM
ejpam-4066	379	22	.	.	PUNCT
ejpam-4066	380	1	references	reference	NOUN
ejpam-4066	380	2	1198	1198	NUM
ejpam-4066	381	1	[	[	X
ejpam-4066	381	2	22	22	NUM
ejpam-4066	381	3	]	]	PUNCT
ejpam-4066	381	4	s.a.p	s.a.p	NOUN
ejpam-4066	381	5	.	.	PUNCT
ejpam-4066	381	6	ahmadi	ahmadi	PROPN
ejpam-4066	381	7	,	,	PUNCT
ejpam-4066	381	8	h.	h.	PROPN
ejpam-4066	381	9	hosseinzadeh	hosseinzadeh	PROPN
ejpam-4066	381	10	,	,	PUNCT
ejpam-4066	381	11	and	and	CCONJ
ejpam-4066	381	12	a.y	a.y	PROPN
ejpam-4066	381	13	.	.	PROPN
ejpam-4066	381	14	cherati	cherati	PROPN
ejpam-4066	381	15	.	.	PUNCT
ejpam-4066	382	1	a	a	DET
ejpam-4066	382	2	new	new	ADJ
ejpam-4066	382	3	integral	integral	ADJ
ejpam-4066	382	4	transform	transform	NOUN
ejpam-4066	382	5	for	for	ADP
ejpam-4066	382	6	solving	solve	VERB
ejpam-4066	382	7	higher	high	ADJ
ejpam-4066	382	8	order	order	NOUN
ejpam-4066	382	9	linear	linear	VERB
ejpam-4066	382	10	ordinary	ordinary	ADJ
ejpam-4066	382	11	differential	differential	ADJ
ejpam-4066	382	12	equations	equation	NOUN
ejpam-4066	382	13	.	.	PUNCT
ejpam-4066	383	1	nonlinear	nonlinear	ADJ
ejpam-4066	383	2	dynamics	dynamic	NOUN
ejpam-4066	383	3	and	and	CCONJ
ejpam-4066	383	4	systems	system	NOUN
ejpam-4066	383	5	theory	theory	NOUN
ejpam-4066	383	6	,	,	PUNCT
ejpam-4066	383	7	19(2):243–252	19(2):243–252	NUM
ejpam-4066	383	8	,	,	PUNCT
ejpam-4066	383	9	2019	2019	NUM
ejpam-4066	383	10	.	.	PUNCT
ejpam-4066	384	1	[	[	X
ejpam-4066	384	2	23	23	NUM
ejpam-4066	384	3	]	]	X
ejpam-4066	384	4	h.	h.	PROPN
ejpam-4066	384	5	jafari	jafari	PROPN
ejpam-4066	384	6	.	.	PUNCT
ejpam-4066	385	1	a	a	DET
ejpam-4066	385	2	new	new	ADJ
ejpam-4066	385	3	general	general	ADJ
ejpam-4066	385	4	integral	integral	ADJ
ejpam-4066	385	5	transform	transform	NOUN
ejpam-4066	385	6	for	for	ADP
ejpam-4066	385	7	solving	solve	VERB
ejpam-4066	385	8	fractional	fractional	ADJ
ejpam-4066	385	9	integral	integral	ADJ
ejpam-4066	385	10	equation	equation	NOUN
ejpam-4066	385	11	.	.	PUNCT
ejpam-4066	386	1	journal	journal	NOUN
ejpam-4066	386	2	of	of	ADP
ejpam-4066	386	3	advanced	advanced	ADJ
ejpam-4066	386	4	research	research	NOUN
ejpam-4066	386	5	available	available	ADJ
ejpam-4066	386	6	,	,	PUNCT
ejpam-4066	386	7	https://doi.org/10.1016/j.jare.2020.08.016	https://doi.org/10.1016/j.jare.2020.08.016	PROPN
ejpam-4066	386	8	,	,	PUNCT
ejpam-4066	386	9	2020	2020	NUM
ejpam-4066	386	10	.	.	PUNCT
ejpam-4066	387	1	[	[	X
ejpam-4066	387	2	24	24	NUM
ejpam-4066	387	3	]	]	PUNCT
ejpam-4066	387	4	a.	a.	NOUN
ejpam-4066	387	5	kadem	kadem	PROPN
ejpam-4066	387	6	.	.	PUNCT
ejpam-4066	388	1	solving	solve	VERB
ejpam-4066	388	2	the	the	DET
ejpam-4066	388	3	one	one	NUM
ejpam-4066	388	4	-	-	PUNCT
ejpam-4066	388	5	dimensional	dimensional	ADJ
ejpam-4066	388	6	neutron	neutron	NOUN
ejpam-4066	388	7	transport	transport	NOUN
ejpam-4066	388	8	equation	equation	NOUN
ejpam-4066	388	9	using	use	VERB
ejpam-4066	388	10	chebyshev	chebyshev	NOUN
ejpam-4066	388	11	polynomials	polynomial	NOUN
ejpam-4066	388	12	and	and	CCONJ
ejpam-4066	388	13	the	the	DET
ejpam-4066	388	14	sumudu	sumudu	NOUN
ejpam-4066	388	15	transform	transform	NOUN
ejpam-4066	388	16	.	.	PUNCT
ejpam-4066	389	1	analele	analele	PROPN
ejpam-4066	389	2	universitatii	universitatii	PROPN
ejpam-4066	389	3	din	din	PROPN
ejpam-4066	389	4	oradea	oradea	PROPN
ejpam-4066	389	5	,	,	PUNCT
ejpam-4066	389	6	12:153	12:153	NUM
ejpam-4066	389	7	–	–	PUNCT
ejpam-4066	389	8	171	171	NUM
ejpam-4066	389	9	,	,	PUNCT
ejpam-4066	389	10	2005	2005	NUM
ejpam-4066	389	11	.	.	PUNCT
ejpam-4066	390	1	[	[	X
ejpam-4066	390	2	25	25	NUM
ejpam-4066	390	3	]	]	PUNCT
ejpam-4066	390	4	a.	a.	NOUN
ejpam-4066	390	5	kadem	kadem	PROPN
ejpam-4066	390	6	and	and	CCONJ
ejpam-4066	390	7	a.	a.	NOUN
ejpam-4066	390	8	kilicman	kilicman	PROPN
ejpam-4066	390	9	.	.	PUNCT
ejpam-4066	391	1	note	note	NOUN
ejpam-4066	391	2	on	on	ADP
ejpam-4066	391	3	transport	transport	NOUN
ejpam-4066	391	4	equation	equation	NOUN
ejpam-4066	391	5	and	and	CCONJ
ejpam-4066	391	6	fractional	fractional	ADJ
ejpam-4066	391	7	sumudu	sumudu	NOUN
ejpam-4066	391	8	transform	transform	NOUN
ejpam-4066	391	9	.	.	PUNCT
ejpam-4066	392	1	computers	computer	NOUN
ejpam-4066	392	2	and	and	CCONJ
ejpam-4066	392	3	mathematics	mathematic	NOUN
ejpam-4066	392	4	with	with	ADP
ejpam-4066	392	5	applications	application	NOUN
ejpam-4066	392	6	,	,	PUNCT
ejpam-4066	392	7	62:2995–3003	62:2995–3003	NUM
ejpam-4066	392	8	,	,	PUNCT
ejpam-4066	392	9	2011	2011	NUM
ejpam-4066	392	10	.	.	PUNCT
ejpam-4066	393	1	[	[	X
ejpam-4066	393	2	26	26	NUM
ejpam-4066	393	3	]	]	X
ejpam-4066	393	4	s.	s.	PROPN
ejpam-4066	393	5	chakraverty	chakraverty	PROPN
ejpam-4066	393	6	,	,	PUNCT
ejpam-4066	393	7	n.r	n.r	PROPN
ejpam-4066	393	8	.	.	PROPN
ejpam-4066	393	9	mahato	mahato	PROPN
ejpam-4066	393	10	,	,	PUNCT
ejpam-4066	393	11	p.	p.	NOUN
ejpam-4066	393	12	karunakar	karunakar	PROPN
ejpam-4066	393	13	,	,	PUNCT
ejpam-4066	393	14	and	and	CCONJ
ejpam-4066	393	15	t.d	t.d	PROPN
ejpam-4066	393	16	.	.	PROPN
ejpam-4066	393	17	rao	rao	PROPN
ejpam-4066	393	18	.	.	PUNCT
ejpam-4066	394	1	advanced	advanced	PROPN
ejpam-4066	394	2	numerical	numerical	ADJ
ejpam-4066	394	3	and	and	CCONJ
ejpam-4066	394	4	semi	semi	ADJ
ejpam-4066	394	5	-	-	ADJ
ejpam-4066	394	6	analytical	analytical	ADJ
ejpam-4066	394	7	methods	method	NOUN
ejpam-4066	394	8	for	for	ADP
ejpam-4066	394	9	differential	differential	ADJ
ejpam-4066	394	10	equations	equation	NOUN
ejpam-4066	394	11	.	.	PUNCT
ejpam-4066	395	1	john	john	PROPN
ejpam-4066	395	2	wiley	wiley	PROPN
ejpam-4066	395	3	&	&	CCONJ
ejpam-4066	395	4	sons	sons	PROPN
ejpam-4066	395	5	,	,	PUNCT
ejpam-4066	395	6	hoboken	hoboken	PROPN
ejpam-4066	395	7	,	,	PUNCT
ejpam-4066	395	8	new	new	PROPN
ejpam-4066	395	9	jersey	jersey	PROPN
ejpam-4066	395	10	,	,	PUNCT
ejpam-4066	395	11	2019	2019	NUM
ejpam-4066	395	12	.	.	PUNCT
ejpam-4066	396	1	[	[	X
ejpam-4066	396	2	27	27	NUM
ejpam-4066	396	3	]	]	PUNCT
ejpam-4066	396	4	a.	a.	NOUN
ejpam-4066	396	5	kilicman	kilicman	NOUN
ejpam-4066	396	6	and	and	CCONJ
ejpam-4066	396	7	h.e	h.e	PROPN
ejpam-4066	396	8	.	.	PROPN
ejpam-4066	396	9	gadain	gadain	NOUN
ejpam-4066	396	10	.	.	PUNCT
ejpam-4066	397	1	on	on	ADP
ejpam-4066	397	2	the	the	DET
ejpam-4066	397	3	applications	application	NOUN
ejpam-4066	397	4	of	of	ADP
ejpam-4066	397	5	laplace	laplace	NOUN
ejpam-4066	397	6	and	and	CCONJ
ejpam-4066	397	7	sumudu	sumudu	NOUN
ejpam-4066	397	8	transforms	transform	VERB
ejpam-4066	397	9	.	.	PUNCT
ejpam-4066	398	1	journal	journal	NOUN
ejpam-4066	398	2	of	of	ADP
ejpam-4066	398	3	the	the	DET
ejpam-4066	398	4	franklin	franklin	PROPN
ejpam-4066	398	5	institute	institute	PROPN
ejpam-4066	398	6	,	,	PUNCT
ejpam-4066	398	7	347(5):848–862	347(5):848–862	NUM
ejpam-4066	398	8	,	,	PUNCT
ejpam-4066	398	9	2010	2010	NUM
ejpam-4066	398	10	.	.	PUNCT
ejpam-4066	399	1	[	[	X
ejpam-4066	399	2	28	28	NUM
ejpam-4066	399	3	]	]	X
ejpam-4066	399	4	h.	h.	PROPN
ejpam-4066	399	5	eltayeb	eltayeb	PROPN
ejpam-4066	399	6	,	,	PUNCT
ejpam-4066	399	7	a.	a.	NOUN
ejpam-4066	399	8	kilicman	kilicman	PROPN
ejpam-4066	399	9	,	,	PUNCT
ejpam-4066	399	10	and	and	CCONJ
ejpam-4066	399	11	b.	b.	PROPN
ejpam-4066	399	12	fisher	fisher	PROPN
ejpam-4066	399	13	.	.	PUNCT
ejpam-4066	400	1	a	a	DET
ejpam-4066	400	2	new	new	ADJ
ejpam-4066	400	3	integral	integral	ADJ
ejpam-4066	400	4	transform	transform	NOUN
ejpam-4066	400	5	and	and	CCONJ
ejpam-4066	400	6	associated	associated	ADJ
ejpam-4066	400	7	distributions	distribution	NOUN
ejpam-4066	400	8	.	.	PUNCT
ejpam-4066	401	1	integral	integral	ADJ
ejpam-4066	401	2	transforms	transform	NOUN
ejpam-4066	401	3	and	and	CCONJ
ejpam-4066	401	4	special	special	ADJ
ejpam-4066	401	5	functions	function	NOUN
ejpam-4066	401	6	,	,	PUNCT
ejpam-4066	401	7	21(5	21(5	NOUN
ejpam-4066	401	8	-	-	PUNCT
ejpam-4066	401	9	6):367–379	6):367–379	NUM
ejpam-4066	401	10	,	,	PUNCT
ejpam-4066	401	11	2010	2010	NUM
ejpam-4066	401	12	.	.	PUNCT
ejpam-4066	402	1	[	[	X
ejpam-4066	402	2	29	29	NUM
ejpam-4066	402	3	]	]	SYM
ejpam-4066	402	4	hj	hj	PROPN
ejpam-4066	402	5	.	.	PUNCT
ejpam-4066	403	1	kim	kim	PROPN
ejpam-4066	403	2	.	.	PUNCT
ejpam-4066	404	1	the	the	DET
ejpam-4066	404	2	intrinsic	intrinsic	ADJ
ejpam-4066	404	3	structure	structure	NOUN
ejpam-4066	404	4	and	and	CCONJ
ejpam-4066	404	5	properties	property	NOUN
ejpam-4066	404	6	of	of	ADP
ejpam-4066	404	7	laplace	laplace	NOUN
ejpam-4066	404	8	-	-	PUNCT
ejpam-4066	404	9	typed	type	VERB
ejpam-4066	404	10	integral	integral	ADJ
ejpam-4066	404	11	transforms	transform	NOUN
ejpam-4066	404	12	.	.	PUNCT
ejpam-4066	405	1	mathematical	mathematical	ADJ
ejpam-4066	405	2	problems	problem	NOUN
ejpam-4066	405	3	in	in	ADP
ejpam-4066	405	4	engineering	engineering	NOUN
ejpam-4066	405	5	,	,	PUNCT
ejpam-4066	405	6	8	8	NUM
ejpam-4066	405	7	pages	page	NOUN
ejpam-4066	405	8	,	,	PUNCT
ejpam-4066	405	9	2017	2017	NUM
ejpam-4066	405	10	.	.	PUNCT
ejpam-4066	406	1	[	[	X
ejpam-4066	406	2	30	30	NUM
ejpam-4066	406	3	]	]	X
ejpam-4066	406	4	hj	hj	PROPN
ejpam-4066	406	5	.	.	PUNCT
ejpam-4066	406	6	kim	kim	PROPN
ejpam-4066	406	7	.	.	PUNCT
ejpam-4066	407	1	on	on	ADP
ejpam-4066	407	2	the	the	DET
ejpam-4066	407	3	form	form	NOUN
ejpam-4066	407	4	and	and	CCONJ
ejpam-4066	407	5	properties	property	NOUN
ejpam-4066	407	6	of	of	ADP
ejpam-4066	407	7	an	an	DET
ejpam-4066	407	8	integral	integral	ADJ
ejpam-4066	407	9	transform	transform	NOUN
ejpam-4066	407	10	with	with	ADP
ejpam-4066	407	11	strength	strength	NOUN
ejpam-4066	407	12	in	in	ADP
ejpam-4066	407	13	integral	integral	ADJ
ejpam-4066	407	14	transforms	transform	NOUN
ejpam-4066	407	15	.	.	PUNCT
ejpam-4066	408	1	far	far	PROPN
ejpam-4066	408	2	east	east	PROPN
ejpam-4066	408	3	journal	journal	PROPN
ejpam-4066	408	4	of	of	ADP
ejpam-4066	408	5	mathematical	mathematical	ADJ
ejpam-4066	408	6	sciences	science	NOUN
ejpam-4066	408	7	,	,	PUNCT
ejpam-4066	408	8	102(11):2831–2844	102(11):2831–2844	NUM
ejpam-4066	408	9	,	,	PUNCT
ejpam-4066	408	10	2017	2017	NUM
ejpam-4066	408	11	.	.	PUNCT
ejpam-4066	409	1	[	[	X
ejpam-4066	409	2	31	31	NUM
ejpam-4066	409	3	]	]	PUNCT
ejpam-4066	409	4	hj	hj	PROPN
ejpam-4066	409	5	.	.	PUNCT
ejpam-4066	409	6	kim	kim	PROPN
ejpam-4066	409	7	.	.	PUNCT
ejpam-4066	410	1	the	the	DET
ejpam-4066	410	2	solution	solution	NOUN
ejpam-4066	410	3	of	of	ADP
ejpam-4066	410	4	laguerre	laguerre	NOUN
ejpam-4066	410	5	’s	’s	PART
ejpam-4066	410	6	equation	equation	NOUN
ejpam-4066	410	7	by	by	ADP
ejpam-4066	410	8	using	use	VERB
ejpam-4066	410	9	g	g	NOUN
ejpam-4066	410	10	-	-	PUNCT
ejpam-4066	410	11	transform	transform	NOUN
ejpam-4066	410	12	.	.	PUNCT
ejpam-4066	411	1	international	international	ADJ
ejpam-4066	411	2	journal	journal	NOUN
ejpam-4066	411	3	of	of	ADP
ejpam-4066	411	4	applied	apply	VERB
ejpam-4066	411	5	engineering	engineering	NOUN
ejpam-4066	411	6	research	research	NOUN
ejpam-4066	411	7	,	,	PUNCT
ejpam-4066	411	8	12(24):16083–16086	12(24):16083–16086	NUM
ejpam-4066	411	9	,	,	PUNCT
ejpam-4066	411	10	2017	2017	NUM
ejpam-4066	411	11	.	.	PUNCT
ejpam-4066	412	1	[	[	X
ejpam-4066	412	2	32	32	NUM
ejpam-4066	412	3	]	]	SYM
ejpam-4066	412	4	hj	hj	PROPN
ejpam-4066	412	5	.	.	PUNCT
ejpam-4066	412	6	kim	kim	PROPN
ejpam-4066	412	7	.	.	PUNCT
ejpam-4066	413	1	a	a	DET
ejpam-4066	413	2	proof	proof	NOUN
ejpam-4066	413	3	with	with	ADP
ejpam-4066	413	4	respect	respect	NOUN
ejpam-4066	413	5	to	to	ADP
ejpam-4066	413	6	laplace	laplace	NOUN
ejpam-4066	413	7	transform	transform	NOUN
ejpam-4066	413	8	of	of	ADP
ejpam-4066	413	9	the	the	DET
ejpam-4066	413	10	n	n	ADV
ejpam-4066	413	11	-	-	PUNCT
ejpam-4066	413	12	th	th	X
ejpam-4066	413	13	derivative	derivative	NOUN
ejpam-4066	413	14	by	by	ADP
ejpam-4066	413	15	mathematical	mathematical	ADJ
ejpam-4066	413	16	induction	induction	NOUN
ejpam-4066	413	17	.	.	PUNCT
ejpam-4066	414	1	advances	advance	NOUN
ejpam-4066	414	2	in	in	ADP
ejpam-4066	414	3	dynamical	dynamical	ADJ
ejpam-4066	414	4	systems	system	NOUN
ejpam-4066	414	5	and	and	CCONJ
ejpam-4066	414	6	applications	application	NOUN
ejpam-4066	414	7	,	,	PUNCT
ejpam-4066	414	8	15(1):29–33	15(1):29–33	NUM
ejpam-4066	414	9	,	,	PUNCT
ejpam-4066	414	10	2020	2020	NUM
ejpam-4066	414	11	.	.	PUNCT
ejpam-4066	415	1	[	[	X
ejpam-4066	415	2	33	33	NUM
ejpam-4066	415	3	]	]	X
ejpam-4066	415	4	g.a	g.a	PROPN
ejpam-4066	415	5	.	.	PROPN
ejpam-4066	415	6	korn	korn	PROPN
ejpam-4066	415	7	and	and	CCONJ
ejpam-4066	415	8	t.m	t.m	PROPN
ejpam-4066	415	9	.	.	PROPN
ejpam-4066	415	10	korn	korn	PROPN
ejpam-4066	415	11	.	.	PUNCT
ejpam-4066	416	1	mathematical	mathematical	ADJ
ejpam-4066	416	2	handbook	handbook	NOUN
ejpam-4066	416	3	for	for	ADP
ejpam-4066	416	4	scientists	scientist	NOUN
ejpam-4066	416	5	and	and	CCONJ
ejpam-4066	416	6	engineers	engineer	NOUN
ejpam-4066	416	7	(	(	PUNCT
ejpam-4066	416	8	2nd	2nd	ADJ
ejpam-4066	416	9	ed	ed	NOUN
ejpam-4066	416	10	.	.	PUNCT
ejpam-4066	416	11	)	)	PUNCT
ejpam-4066	416	12	.	.	PUNCT
ejpam-4066	417	1	mcgraw	mcgraw	PROPN
ejpam-4066	417	2	-	-	PUNCT
ejpam-4066	417	3	hill	hill	NOUN
ejpam-4066	417	4	companies	company	NOUN
ejpam-4066	417	5	,	,	PUNCT
ejpam-4066	417	6	mineola	mineola	PROPN
ejpam-4066	417	7	,	,	PUNCT
ejpam-4066	417	8	new	new	PROPN
ejpam-4066	417	9	york	york	PROPN
ejpam-4066	417	10	,	,	PUNCT
ejpam-4066	417	11	1968	1968	NUM
ejpam-4066	417	12	.	.	PUNCT
ejpam-4066	418	1	[	[	X
ejpam-4066	418	2	34	34	NUM
ejpam-4066	418	3	]	]	X
ejpam-4066	418	4	n.	n.	PROPN
ejpam-4066	418	5	kumar	kumar	PROPN
ejpam-4066	418	6	and	and	CCONJ
ejpam-4066	418	7	r.	r.	PROPN
ejpam-4066	418	8	kumar	kumar	PROPN
ejpam-4066	418	9	.	.	PROPN
ejpam-4066	418	10	differential	differential	PROPN
ejpam-4066	418	11	equations	equation	NOUN
ejpam-4066	418	12	and	and	CCONJ
ejpam-4066	418	13	integral	integral	ADJ
ejpam-4066	418	14	transforms	transform	NOUN
ejpam-4066	418	15	.	.	PUNCT
ejpam-4066	419	1	cbs	cbs	PROPN
ejpam-4066	419	2	publishers	publisher	NOUN
ejpam-4066	419	3	and	and	CCONJ
ejpam-4066	419	4	distributors	distributor	NOUN
ejpam-4066	419	5	,	,	PUNCT
ejpam-4066	419	6	uttar	uttar	PROPN
ejpam-4066	419	7	pradesh	pradesh	PROPN
ejpam-4066	419	8	,	,	PUNCT
ejpam-4066	419	9	india	india	PROPN
ejpam-4066	419	10	,	,	PUNCT
ejpam-4066	419	11	2016	2016	NUM
ejpam-4066	419	12	.	.	PUNCT
ejpam-4066	420	1	[	[	X
ejpam-4066	420	2	35	35	NUM
ejpam-4066	420	3	]	]	X
ejpam-4066	420	4	e.	e.	PROPN
ejpam-4066	420	5	momoniat	momoniat	PROPN
ejpam-4066	420	6	,	,	PUNCT
ejpam-4066	420	7	r.	r.	PROPN
ejpam-4066	420	8	mcintyre	mcintyre	PROPN
ejpam-4066	420	9	,	,	PUNCT
ejpam-4066	420	10	and	and	CCONJ
ejpam-4066	420	11	r.	r.	PROPN
ejpam-4066	420	12	ravindran	ravindran	PROPN
ejpam-4066	420	13	.	.	PUNCT
ejpam-4066	421	1	numerical	numerical	ADJ
ejpam-4066	421	2	inversion	inversion	NOUN
ejpam-4066	421	3	of	of	ADP
ejpam-4066	421	4	a	a	DET
ejpam-4066	421	5	laplace	laplace	NOUN
ejpam-4066	421	6	transform	transform	NOUN
ejpam-4066	421	7	solution	solution	NOUN
ejpam-4066	421	8	of	of	ADP
ejpam-4066	421	9	a	a	DET
ejpam-4066	421	10	diffusion	diffusion	NOUN
ejpam-4066	421	11	equation	equation	NOUN
ejpam-4066	421	12	with	with	ADP
ejpam-4066	421	13	a	a	DET
ejpam-4066	421	14	mixed	mixed	ADJ
ejpam-4066	421	15	derivative	derivative	ADJ
ejpam-4066	421	16	term	term	NOUN
ejpam-4066	421	17	.	.	PUNCT
ejpam-4066	422	1	applied	apply	VERB
ejpam-4066	422	2	mathematics	mathematic	NOUN
ejpam-4066	422	3	and	and	CCONJ
ejpam-4066	422	4	computation	computation	NOUN
ejpam-4066	422	5	,	,	PUNCT
ejpam-4066	422	6	209(2):222–229	209(2):222–229	NUM
ejpam-4066	422	7	,	,	PUNCT
ejpam-4066	422	8	2009	2009	NUM
ejpam-4066	422	9	.	.	PUNCT
ejpam-4066	423	1	references	reference	NOUN
ejpam-4066	423	2	1199	1199	NUM
ejpam-4066	423	3	[	[	X
ejpam-4066	423	4	36	36	NUM
ejpam-4066	423	5	]	]	X
ejpam-4066	423	6	j.w	j.w	PROPN
ejpam-4066	423	7	.	.	PROPN
ejpam-4066	423	8	miles	miles	PROPN
ejpam-4066	423	9	.	.	PUNCT
ejpam-4066	424	1	integral	integral	ADJ
ejpam-4066	424	2	transforms	transform	NOUN
ejpam-4066	424	3	in	in	ADP
ejpam-4066	424	4	applied	applied	ADJ
ejpam-4066	424	5	mathematics	mathematic	NOUN
ejpam-4066	424	6	.	.	PUNCT
ejpam-4066	425	1	cambridge	cambridge	PROPN
ejpam-4066	425	2	university	university	PROPN
ejpam-4066	425	3	press	press	PROPN
ejpam-4066	425	4	,	,	PUNCT
ejpam-4066	425	5	cambridge	cambridge	PROPN
ejpam-4066	425	6	,	,	PUNCT
ejpam-4066	425	7	england	england	PROPN
ejpam-4066	425	8	,	,	PUNCT
ejpam-4066	425	9	2008	2008	NUM
ejpam-4066	425	10	.	.	PUNCT
ejpam-4066	426	1	[	[	X
ejpam-4066	426	2	37	37	NUM
ejpam-4066	426	3	]	]	PUNCT
ejpam-4066	426	4	m.	m.	NOUN
ejpam-4066	426	5	mohand	mohand	NOUN
ejpam-4066	426	6	and	and	CCONJ
ejpam-4066	426	7	a.	a.	NOUN
ejpam-4066	426	8	mahgoub	mahgoub	NOUN
ejpam-4066	426	9	.	.	PUNCT
ejpam-4066	427	1	the	the	DET
ejpam-4066	427	2	new	new	ADJ
ejpam-4066	427	3	integral	integral	ADJ
ejpam-4066	427	4	transform	transform	NOUN
ejpam-4066	427	5	“	"	PUNCT
ejpam-4066	427	6	mohand	mohand	NOUN
ejpam-4066	427	7	transform	transform	NOUN
ejpam-4066	427	8	”	"	PUNCT
ejpam-4066	427	9	.	.	PUNCT
ejpam-4066	428	1	advances	advance	NOUN
ejpam-4066	428	2	in	in	ADP
ejpam-4066	428	3	theoretical	theoretical	ADJ
ejpam-4066	428	4	and	and	CCONJ
ejpam-4066	428	5	applied	apply	VERB
ejpam-4066	428	6	mathematics	mathematic	NOUN
ejpam-4066	428	7	,	,	PUNCT
ejpam-4066	428	8	12(2):113–120	12(2):113–120	NUM
ejpam-4066	428	9	,	,	PUNCT
ejpam-4066	428	10	2017	2017	NUM
ejpam-4066	428	11	.	.	PUNCT
ejpam-4066	429	1	[	[	X
ejpam-4066	429	2	38	38	NUM
ejpam-4066	429	3	]	]	SYM
ejpam-4066	429	4	hj	hj	PROPN
ejpam-4066	429	5	.	.	PUNCT
ejpam-4066	430	1	kim	kim	PROPN
ejpam-4066	430	2	,	,	PUNCT
ejpam-4066	430	3	s.	s.	PROPN
ejpam-4066	430	4	sattaso	sattaso	PROPN
ejpam-4066	430	5	,	,	PUNCT
ejpam-4066	430	6	k.	k.	PROPN
ejpam-4066	430	7	nonlaopon	nonlaopon	NOUN
ejpam-4066	430	8	,	,	PUNCT
ejpam-4066	430	9	and	and	CCONJ
ejpam-4066	430	10	k.	k.	PROPN
ejpam-4066	430	11	kaewnimit	kaewnimit	PROPN
ejpam-4066	430	12	.	.	PUNCT
ejpam-4066	431	1	an	an	DET
ejpam-4066	431	2	application	application	NOUN
ejpam-4066	431	3	of	of	ADP
ejpam-4066	431	4	generalized	generalized	ADJ
ejpam-4066	431	5	laplace	laplace	NOUN
ejpam-4066	431	6	transform	transform	NOUN
ejpam-4066	431	7	in	in	ADP
ejpam-4066	431	8	pdes	pde	NOUN
ejpam-4066	431	9	.	.	PUNCT
ejpam-4066	432	1	advances	advance	NOUN
ejpam-4066	432	2	in	in	ADP
ejpam-4066	432	3	dynamical	dynamical	ADJ
ejpam-4066	432	4	systems	system	NOUN
ejpam-4066	432	5	and	and	CCONJ
ejpam-4066	432	6	applications	application	NOUN
ejpam-4066	432	7	,	,	PUNCT
ejpam-4066	432	8	14(2):257–265	14(2):257–265	NOUN
ejpam-4066	432	9	,	,	PUNCT
ejpam-4066	432	10	2019	2019	NUM
ejpam-4066	432	11	.	.	PUNCT
ejpam-4066	433	1	[	[	X
ejpam-4066	433	2	39	39	NUM
ejpam-4066	433	3	]	]	PUNCT
ejpam-4066	433	4	s.	s.	PROPN
ejpam-4066	433	5	sattaso	sattaso	PROPN
ejpam-4066	433	6	,	,	PUNCT
ejpam-4066	433	7	k.	k.	PROPN
ejpam-4066	433	8	nonlaopon	nonlaopon	NOUN
ejpam-4066	433	9	,	,	PUNCT
ejpam-4066	433	10	and	and	CCONJ
ejpam-4066	433	11	hj	hj	PROPN
ejpam-4066	433	12	.	.	PUNCT
ejpam-4066	434	1	kim	kim	PROPN
ejpam-4066	434	2	.	.	PUNCT
ejpam-4066	435	1	further	further	ADJ
ejpam-4066	435	2	properties	property	NOUN
ejpam-4066	435	3	of	of	ADP
ejpam-4066	435	4	laplace	laplace	NOUN
ejpam-4066	435	5	-	-	PUNCT
ejpam-4066	435	6	typed	type	VERB
ejpam-4066	435	7	integral	integral	ADJ
ejpam-4066	435	8	transforms	transform	NOUN
ejpam-4066	435	9	.	.	PUNCT
ejpam-4066	436	1	dynamic	dynamic	ADJ
ejpam-4066	436	2	systems	system	NOUN
ejpam-4066	436	3	and	and	CCONJ
ejpam-4066	436	4	applications	application	NOUN
ejpam-4066	436	5	,	,	PUNCT
ejpam-4066	436	6	28(1):195–215	28(1):195–215	PROPN
ejpam-4066	436	7	,	,	PUNCT
ejpam-4066	436	8	2019	2019	NUM
ejpam-4066	436	9	.	.	PUNCT
ejpam-4066	437	1	[	[	X
ejpam-4066	437	2	40	40	NUM
ejpam-4066	437	3	]	]	X
ejpam-4066	437	4	y.h	y.h	PROPN
ejpam-4066	437	5	.	.	PROPN
ejpam-4066	437	6	geum	geum	PROPN
ejpam-4066	437	7	,	,	PUNCT
ejpam-4066	437	8	a.k	a.k	PROPN
ejpam-4066	437	9	.	.	PROPN
ejpam-4066	437	10	rathie	rathie	NOUN
ejpam-4066	437	11	,	,	PUNCT
ejpam-4066	437	12	and	and	CCONJ
ejpam-4066	437	13	hj	hj	PROPN
ejpam-4066	437	14	.	.	PUNCT
ejpam-4066	438	1	kim	kim	PROPN
ejpam-4066	438	2	.	.	PROPN
ejpam-4066	438	3	matrix	matrix	NOUN
ejpam-4066	438	4	expression	expression	NOUN
ejpam-4066	438	5	of	of	ADP
ejpam-4066	438	6	convolution	convolution	NOUN
ejpam-4066	438	7	and	and	CCONJ
ejpam-4066	438	8	its	its	PRON
ejpam-4066	438	9	generalized	generalized	ADJ
ejpam-4066	438	10	continuous	continuous	ADJ
ejpam-4066	438	11	form	form	NOUN
ejpam-4066	438	12	.	.	PUNCT
ejpam-4066	439	1	symmetry	symmetry	NOUN
ejpam-4066	439	2	,	,	PUNCT
ejpam-4066	439	3	12(11):1791	12(11):1791	NUM
ejpam-4066	439	4	,	,	PUNCT
ejpam-4066	439	5	2020	2020	NUM
ejpam-4066	439	6	.	.	PUNCT
ejpam-4066	440	1	[	[	X
ejpam-4066	440	2	41	41	NUM
ejpam-4066	440	3	]	]	X
ejpam-4066	440	4	j.l	j.l	PROPN
ejpam-4066	440	5	.	.	PROPN
ejpam-4066	440	6	schiff	schiff	PROPN
ejpam-4066	440	7	.	.	PUNCT
ejpam-4066	441	1	the	the	DET
ejpam-4066	441	2	laplace	laplace	NOUN
ejpam-4066	441	3	transform	transform	NOUN
ejpam-4066	441	4	:	:	PUNCT
ejpam-4066	441	5	theory	theory	NOUN
ejpam-4066	441	6	and	and	CCONJ
ejpam-4066	441	7	applications	application	NOUN
ejpam-4066	441	8	.	.	PUNCT
ejpam-4066	442	1	springer	springer	NOUN
ejpam-4066	442	2	-	-	PUNCT
ejpam-4066	442	3	verlag	verlag	PROPN
ejpam-4066	442	4	berlin	berlin	PROPN
ejpam-4066	442	5	heidelberg	heidelberg	PROPN
ejpam-4066	442	6	,	,	PUNCT
ejpam-4066	442	7	new	new	PROPN
ejpam-4066	442	8	york	york	PROPN
ejpam-4066	442	9	,	,	PUNCT
ejpam-4066	442	10	usa	usa	PROPN
ejpam-4066	442	11	,	,	PUNCT
ejpam-4066	442	12	1999	1999	NUM
ejpam-4066	442	13	.	.	PUNCT
ejpam-4066	443	1	[	[	X
ejpam-4066	443	2	42	42	NUM
ejpam-4066	443	3	]	]	PUNCT
ejpam-4066	443	4	s.	s.	PROPN
ejpam-4066	443	5	aggarwal	aggarwal	PROPN
ejpam-4066	443	6	,	,	PUNCT
ejpam-4066	443	7	n.	n.	PROPN
ejpam-4066	443	8	sharma	sharma	PROPN
ejpam-4066	443	9	,	,	PUNCT
ejpam-4066	443	10	and	and	CCONJ
ejpam-4066	443	11	r.	r.	PROPN
ejpam-4066	443	12	chauhan	chauhan	PROPN
ejpam-4066	443	13	.	.	PUNCT
ejpam-4066	444	1	duality	duality	NOUN
ejpam-4066	444	2	relations	relation	NOUN
ejpam-4066	444	3	of	of	ADP
ejpam-4066	444	4	kamal	kamal	PROPN
ejpam-4066	444	5	transform	transform	VERB
ejpam-4066	444	6	with	with	ADP
ejpam-4066	444	7	laplace	laplace	NOUN
ejpam-4066	444	8	,	,	PUNCT
ejpam-4066	444	9	laplace	laplace	NOUN
ejpam-4066	444	10	-	-	PUNCT
ejpam-4066	444	11	carson	carson	PROPN
ejpam-4066	444	12	,	,	PUNCT
ejpam-4066	444	13	aboodh	aboodh	PROPN
ejpam-4066	444	14	,	,	PUNCT
ejpam-4066	444	15	sumudu	sumudu	NOUN
ejpam-4066	444	16	,	,	PUNCT
ejpam-4066	444	17	elzaki	elzaki	NOUN
ejpam-4066	444	18	,	,	PUNCT
ejpam-4066	444	19	mohand	mohand	NOUN
ejpam-4066	444	20	and	and	CCONJ
ejpam-4066	444	21	sawi	sawi	ADJ
ejpam-4066	444	22	transforms	transform	VERB
ejpam-4066	444	23	.	.	PUNCT
ejpam-4066	445	1	sn	sn	PROPN
ejpam-4066	445	2	applied	apply	VERB
ejpam-4066	445	3	sciences	science	NOUN
ejpam-4066	445	4	,	,	PUNCT
ejpam-4066	445	5	2(1):135	2(1):135	NUM
ejpam-4066	445	6	,	,	PUNCT
ejpam-4066	445	7	2020	2020	NUM
ejpam-4066	445	8	.	.	PUNCT
ejpam-4066	446	1	[	[	X
ejpam-4066	446	2	43	43	NUM
ejpam-4066	446	3	]	]	PUNCT
ejpam-4066	446	4	a.	a.	NOUN
ejpam-4066	446	5	tagliani	tagliani	NOUN
ejpam-4066	446	6	and	and	CCONJ
ejpam-4066	446	7	m.	m.	NOUN
ejpam-4066	446	8	milev	milev	NOUN
ejpam-4066	446	9	.	.	PUNCT
ejpam-4066	447	1	laplace	laplace	PROPN
ejpam-4066	447	2	transform	transform	VERB
ejpam-4066	447	3	and	and	CCONJ
ejpam-4066	447	4	finite	finite	ADJ
ejpam-4066	447	5	difference	difference	NOUN
ejpam-4066	447	6	methods	method	NOUN
ejpam-4066	447	7	for	for	ADP
ejpam-4066	447	8	the	the	DET
ejpam-4066	447	9	black	black	ADJ
ejpam-4066	447	10	-	-	PUNCT
ejpam-4066	447	11	scholes	schole	NOUN
ejpam-4066	447	12	equation	equation	NOUN
ejpam-4066	447	13	.	.	PUNCT
ejpam-4066	448	1	applied	apply	VERB
ejpam-4066	448	2	mathematics	mathematic	NOUN
ejpam-4066	448	3	and	and	CCONJ
ejpam-4066	448	4	computation	computation	NOUN
ejpam-4066	448	5	,	,	PUNCT
ejpam-4066	448	6	220:649–658	220:649–658	NUM
ejpam-4066	448	7	,	,	PUNCT
ejpam-4066	448	8	2013	2013	NUM
ejpam-4066	448	9	.	.	PUNCT
ejpam-4066	449	1	[	[	X
ejpam-4066	449	2	44	44	NUM
ejpam-4066	449	3	]	]	PUNCT
ejpam-4066	449	4	g.	g.	NOUN
ejpam-4066	449	5	watugala	watugala	PROPN
ejpam-4066	449	6	.	.	PUNCT
ejpam-4066	450	1	sumudu	sumudu	NOUN
ejpam-4066	450	2	transform	transform	NOUN
ejpam-4066	450	3	:	:	PUNCT
ejpam-4066	450	4	a	a	DET
ejpam-4066	450	5	new	new	ADJ
ejpam-4066	450	6	integral	integral	ADJ
ejpam-4066	450	7	transform	transform	NOUN
ejpam-4066	450	8	to	to	PART
ejpam-4066	450	9	solve	solve	VERB
ejpam-4066	450	10	differential	differential	ADJ
ejpam-4066	450	11	equations	equation	NOUN
ejpam-4066	450	12	and	and	CCONJ
ejpam-4066	450	13	control	control	NOUN
ejpam-4066	450	14	engineering	engineering	NOUN
ejpam-4066	450	15	problems	problem	NOUN
ejpam-4066	450	16	.	.	PUNCT
ejpam-4066	451	1	integrated	integrated	ADJ
ejpam-4066	451	2	education	education	NOUN
ejpam-4066	451	3	,	,	PUNCT
ejpam-4066	451	4	24(1):35–43	24(1):35–43	NUM
ejpam-4066	451	5	,	,	PUNCT
ejpam-4066	451	6	1993	1993	NUM
ejpam-4066	451	7	.	.	PUNCT
ejpam-4066	452	1	[	[	X
ejpam-4066	452	2	45	45	NUM
ejpam-4066	452	3	]	]	PUNCT
ejpam-4066	452	4	s.	s.	PROPN
ejpam-4066	452	5	weerakoon	weerakoon	PROPN
ejpam-4066	452	6	.	.	PUNCT
ejpam-4066	453	1	application	application	NOUN
ejpam-4066	453	2	of	of	ADP
ejpam-4066	453	3	sumudu	sumudu	NOUN
ejpam-4066	453	4	transform	transform	NOUN
ejpam-4066	453	5	to	to	ADP
ejpam-4066	453	6	partial	partial	ADJ
ejpam-4066	453	7	differential	differential	NOUN
ejpam-4066	453	8	equations	equation	NOUN
ejpam-4066	453	9	.	.	PUNCT
ejpam-4066	454	1	international	international	ADJ
ejpam-4066	454	2	journal	journal	PROPN
ejpam-4066	454	3	of	of	ADP
ejpam-4066	454	4	mathematical	mathematical	ADJ
ejpam-4066	454	5	education	education	NOUN
ejpam-4066	454	6	in	in	ADP
ejpam-4066	454	7	science	science	NOUN
ejpam-4066	454	8	and	and	CCONJ
ejpam-4066	454	9	technology	technology	NOUN
ejpam-4066	454	10	,	,	PUNCT
ejpam-4066	454	11	25(2):277	25(2):277	NOUN
ejpam-4066	454	12	–	–	PUNCT
ejpam-4066	454	13	283	283	NUM
ejpam-4066	454	14	,	,	PUNCT
ejpam-4066	454	15	1994	1994	NUM
ejpam-4066	454	16	.	.	PUNCT