id	sid	tid	token	lemma	pos
ejpam-6267	1	1	european	european	PROPN
ejpam-6267	1	2	journal	journal	PROPN
ejpam-6267	1	3	of	of	ADP
ejpam-6267	1	4	pure	pure	ADJ
ejpam-6267	1	5	and	and	CCONJ
ejpam-6267	1	6	applied	applied	ADJ
ejpam-6267	1	7	mathematics	mathematic	NOUN
ejpam-6267	1	8	2025	2025	NUM
ejpam-6267	1	9	,	,	PUNCT
ejpam-6267	1	10	vol	vol	NOUN
ejpam-6267	1	11	.	.	PROPN
ejpam-6267	1	12	18	18	NUM
ejpam-6267	1	13	,	,	PUNCT
ejpam-6267	1	14	issue	issue	NOUN
ejpam-6267	1	15	4	4	NUM
ejpam-6267	1	16	,	,	PUNCT
ejpam-6267	1	17	article	article	NOUN
ejpam-6267	1	18	number	number	NOUN
ejpam-6267	1	19	6267	6267	NUM
ejpam-6267	1	20	issn	issn	VERB
ejpam-6267	1	21	1307	1307	NUM
ejpam-6267	1	22	-	-	SYM
ejpam-6267	1	23	5543	5543	NUM
ejpam-6267	1	24	–	–	PUNCT
ejpam-6267	1	25	ejpam.com	ejpam.com	X
ejpam-6267	1	26	published	publish	VERB
ejpam-6267	1	27	by	by	ADP
ejpam-6267	1	28	new	new	PROPN
ejpam-6267	1	29	york	york	PROPN
ejpam-6267	1	30	business	business	PROPN
ejpam-6267	1	31	global	global	PROPN
ejpam-6267	1	32	a	a	DET
ejpam-6267	1	33	hybrid	hybrid	ADJ
ejpam-6267	1	34	approach	approach	NOUN
ejpam-6267	1	35	for	for	ADP
ejpam-6267	1	36	approximating	approximate	VERB
ejpam-6267	1	37	a	a	DET
ejpam-6267	1	38	smoking	smoking	NOUN
ejpam-6267	1	39	epidemic	epidemic	NOUN
ejpam-6267	1	40	model	model	NOUN
ejpam-6267	1	41	via	via	ADP
ejpam-6267	1	42	caputos	caputos	PROPN
ejpam-6267	1	43	derivative	derivative	NOUN
ejpam-6267	1	44	,	,	PUNCT
ejpam-6267	1	45	a	a	DET
ejpam-6267	1	46	novel	novel	ADJ
ejpam-6267	1	47	integral	integral	ADJ
ejpam-6267	1	48	transform	transform	NOUN
ejpam-6267	1	49	,	,	PUNCT
ejpam-6267	1	50	and	and	CCONJ
ejpam-6267	1	51	artificial	artificial	ADJ
ejpam-6267	1	52	neural	neural	ADJ
ejpam-6267	1	53	networks	network	NOUN
ejpam-6267	1	54	rachid	rachid	PROPN
ejpam-6267	1	55	belgacem1	belgacem1	PROPN
ejpam-6267	1	56	,	,	PUNCT
ejpam-6267	1	57	ahmed	ahmed	PROPN
ejpam-6267	1	58	bokhari1	bokhari1	PROPN
ejpam-6267	1	59	,	,	PUNCT
ejpam-6267	1	60	abdelkader	abdelkader	PROPN
ejpam-6267	1	61	benali1	benali1	PROPN
ejpam-6267	1	62	,	,	PUNCT
ejpam-6267	1	63	ibrahim	ibrahim	PROPN
ejpam-6267	1	64	alraddadi2,∗	alraddadi2,∗	PROPN
ejpam-6267	1	65	,	,	PUNCT
ejpam-6267	1	66	hijaz	hijaz	PROPN
ejpam-6267	1	67	ahmad3	ahmad3	PROPN
ejpam-6267	1	68	,	,	PUNCT
ejpam-6267	1	69	waleed	waleed	PROPN
ejpam-6267	1	70	mohammed	mohammed	PROPN
ejpam-6267	1	71	abdelfattah4,5	abdelfattah4,5	PROPN
ejpam-6267	1	72	1	1	NUM
ejpam-6267	1	73	laboratory	laboratory	NOUN
ejpam-6267	1	74	of	of	ADP
ejpam-6267	1	75	mathematics	mathematic	NOUN
ejpam-6267	1	76	and	and	CCONJ
ejpam-6267	1	77	its	its	PRON
ejpam-6267	1	78	applications	application	NOUN
ejpam-6267	1	79	lma	lma	PROPN
ejpam-6267	1	80	,	,	PUNCT
ejpam-6267	1	81	hassiba	hassiba	PROPN
ejpam-6267	1	82	benbouali	benbouali	PROPN
ejpam-6267	1	83	university	university	PROPN
ejpam-6267	1	84	of	of	ADP
ejpam-6267	1	85	chlef	chlef	PROPN
ejpam-6267	1	86	,	,	PUNCT
ejpam-6267	1	87	algeria	algeria	PROPN
ejpam-6267	1	88	2	2	NUM
ejpam-6267	1	89	department	department	NOUN
ejpam-6267	1	90	of	of	ADP
ejpam-6267	1	91	mathematics	mathematic	NOUN
ejpam-6267	1	92	,	,	PUNCT
ejpam-6267	1	93	faculty	faculty	NOUN
ejpam-6267	1	94	of	of	ADP
ejpam-6267	1	95	science	science	NOUN
ejpam-6267	1	96	,	,	PUNCT
ejpam-6267	1	97	islamic	islamic	PROPN
ejpam-6267	1	98	university	university	PROPN
ejpam-6267	1	99	of	of	ADP
ejpam-6267	1	100	madinah	madinah	PROPN
ejpam-6267	1	101	,	,	PUNCT
ejpam-6267	1	102	madinah	madinah	PROPN
ejpam-6267	1	103	,	,	PUNCT
ejpam-6267	1	104	saudi	saudi	PROPN
ejpam-6267	1	105	arabia	arabia	PROPN
ejpam-6267	1	106	3	3	NUM
ejpam-6267	1	107	near	near	ADP
ejpam-6267	1	108	east	east	PROPN
ejpam-6267	1	109	university	university	PROPN
ejpam-6267	1	110	,	,	PUNCT
ejpam-6267	1	111	operational	operational	ADJ
ejpam-6267	1	112	research	research	NOUN
ejpam-6267	1	113	center	center	NOUN
ejpam-6267	1	114	in	in	ADP
ejpam-6267	1	115	healthcare	healthcare	PROPN
ejpam-6267	1	116	,	,	PUNCT
ejpam-6267	1	117	near	near	ADP
ejpam-6267	1	118	east	east	PROPN
ejpam-6267	1	119	boulevard	boulevard	PROPN
ejpam-6267	1	120	,	,	PUNCT
ejpam-6267	1	121	pc	pc	NOUN
ejpam-6267	1	122	:	:	PUNCT
ejpam-6267	1	123	99138	99138	NUM
ejpam-6267	1	124	nicosia	nicosia	PROPN
ejpam-6267	1	125	/	/	SYM
ejpam-6267	1	126	mersin	mersin	PROPN
ejpam-6267	1	127	10	10	NUM
ejpam-6267	1	128	,	,	PUNCT
ejpam-6267	1	129	turkey	turkey	PROPN
ejpam-6267	1	130	4	4	NUM
ejpam-6267	1	131	college	college	NOUN
ejpam-6267	1	132	of	of	ADP
ejpam-6267	1	133	engineering	engineering	NOUN
ejpam-6267	1	134	,	,	PUNCT
ejpam-6267	1	135	university	university	NOUN
ejpam-6267	1	136	of	of	ADP
ejpam-6267	1	137	business	business	NOUN
ejpam-6267	1	138	and	and	CCONJ
ejpam-6267	1	139	technology	technology	NOUN
ejpam-6267	1	140	,	,	PUNCT
ejpam-6267	1	141	jeddah	jeddah	PROPN
ejpam-6267	1	142	23435	23435	NUM
ejpam-6267	1	143	,	,	PUNCT
ejpam-6267	1	144	saudi	saudi	PROPN
ejpam-6267	1	145	arabia	arabia	PROPN
ejpam-6267	1	146	5	5	NUM
ejpam-6267	1	147	department	department	NOUN
ejpam-6267	1	148	of	of	ADP
ejpam-6267	1	149	engineering	engineering	NOUN
ejpam-6267	1	150	mathematics	mathematic	NOUN
ejpam-6267	1	151	and	and	CCONJ
ejpam-6267	1	152	physics	physics	NOUN
ejpam-6267	1	153	,	,	PUNCT
ejpam-6267	1	154	faculty	faculty	NOUN
ejpam-6267	1	155	of	of	ADP
ejpam-6267	1	156	engineering	engineering	PROPN
ejpam-6267	1	157	,	,	PUNCT
ejpam-6267	1	158	zagazig	zagazig	PROPN
ejpam-6267	1	159	university	university	PROPN
ejpam-6267	1	160	,	,	PUNCT
ejpam-6267	1	161	p.o	p.o	PROPN
ejpam-6267	1	162	.	.	PROPN
ejpam-6267	1	163	44519	44519	NUM
ejpam-6267	1	164	,	,	PUNCT
ejpam-6267	1	165	egypt	egypt	PROPN
ejpam-6267	1	166	abstract	abstract	PROPN
ejpam-6267	1	167	.	.	PUNCT
ejpam-6267	2	1	this	this	DET
ejpam-6267	2	2	work	work	NOUN
ejpam-6267	2	3	focuses	focus	VERB
ejpam-6267	2	4	on	on	ADP
ejpam-6267	2	5	obtaining	obtain	VERB
ejpam-6267	2	6	approximate	approximate	ADJ
ejpam-6267	2	7	analytical	analytical	ADJ
ejpam-6267	2	8	solutions	solution	NOUN
ejpam-6267	2	9	for	for	ADP
ejpam-6267	2	10	a	a	DET
ejpam-6267	2	11	fractional	fractional	ADJ
ejpam-6267	2	12	-	-	PUNCT
ejpam-6267	2	13	order	order	NOUN
ejpam-6267	2	14	smoking	smoking	NOUN
ejpam-6267	2	15	epidemic	epidemic	NOUN
ejpam-6267	2	16	model	model	NOUN
ejpam-6267	2	17	formulated	formulate	VERB
ejpam-6267	2	18	with	with	ADP
ejpam-6267	2	19	the	the	DET
ejpam-6267	2	20	caputo	caputo	PROPN
ejpam-6267	2	21	derivative	derivative	NOUN
ejpam-6267	2	22	.	.	PUNCT
ejpam-6267	3	1	the	the	DET
ejpam-6267	3	2	model	model	NOUN
ejpam-6267	3	3	divides	divide	VERB
ejpam-6267	3	4	the	the	DET
ejpam-6267	3	5	population	population	NOUN
ejpam-6267	3	6	into	into	ADP
ejpam-6267	3	7	five	five	NUM
ejpam-6267	3	8	compartmentspotential	compartmentspotential	ADJ
ejpam-6267	3	9	smokers	smoker	NOUN
ejpam-6267	3	10	,	,	PUNCT
ejpam-6267	3	11	current	current	ADJ
ejpam-6267	3	12	smokers	smoker	NOUN
ejpam-6267	3	13	,	,	PUNCT
ejpam-6267	3	14	occasional	occasional	ADJ
ejpam-6267	3	15	smokers	smoker	NOUN
ejpam-6267	3	16	,	,	PUNCT
ejpam-6267	3	17	permanent	permanent	ADJ
ejpam-6267	3	18	smokers	smoker	NOUN
ejpam-6267	3	19	,	,	PUNCT
ejpam-6267	3	20	and	and	CCONJ
ejpam-6267	3	21	temporary	temporary	ADJ
ejpam-6267	3	22	quittersallowing	quittersallowe	VERB
ejpam-6267	3	23	the	the	DET
ejpam-6267	3	24	fractional	fractional	ADJ
ejpam-6267	3	25	framework	framework	NOUN
ejpam-6267	3	26	to	to	PART
ejpam-6267	3	27	capture	capture	VERB
ejpam-6267	3	28	the	the	DET
ejpam-6267	3	29	long	long	ADJ
ejpam-6267	3	30	-	-	PUNCT
ejpam-6267	3	31	term	term	NOUN
ejpam-6267	3	32	memory	memory	NOUN
ejpam-6267	3	33	effects	effect	NOUN
ejpam-6267	3	34	in	in	ADP
ejpam-6267	3	35	smoking	smoking	NOUN
ejpam-6267	3	36	dynamics	dynamic	NOUN
ejpam-6267	3	37	.	.	PUNCT
ejpam-6267	4	1	transition	transition	NOUN
ejpam-6267	4	2	rates	rate	NOUN
ejpam-6267	4	3	between	between	ADP
ejpam-6267	4	4	these	these	DET
ejpam-6267	4	5	compartments	compartment	NOUN
ejpam-6267	4	6	are	be	AUX
ejpam-6267	4	7	described	describe	VERB
ejpam-6267	4	8	by	by	ADP
ejpam-6267	4	9	a	a	DET
ejpam-6267	4	10	set	set	NOUN
ejpam-6267	4	11	of	of	ADP
ejpam-6267	4	12	parameters	parameter	NOUN
ejpam-6267	4	13	that	that	PRON
ejpam-6267	4	14	reflect	reflect	VERB
ejpam-6267	4	15	realistic	realistic	ADJ
ejpam-6267	4	16	behavioral	behavioral	ADJ
ejpam-6267	4	17	changes	change	NOUN
ejpam-6267	4	18	.	.	PUNCT
ejpam-6267	5	1	to	to	PART
ejpam-6267	5	2	solve	solve	VERB
ejpam-6267	5	3	the	the	DET
ejpam-6267	5	4	non	non	ADJ
ejpam-6267	5	5	linear	linear	ADJ
ejpam-6267	5	6	fractional	fractional	ADJ
ejpam-6267	5	7	differential	differential	NOUN
ejpam-6267	5	8	system	system	NOUN
ejpam-6267	5	9	efficiently	efficiently	ADV
ejpam-6267	5	10	,	,	PUNCT
ejpam-6267	5	11	we	we	PRON
ejpam-6267	5	12	propose	propose	VERB
ejpam-6267	5	13	a	a	DET
ejpam-6267	5	14	new	new	ADJ
ejpam-6267	5	15	hybrid	hybrid	ADJ
ejpam-6267	5	16	computational	computational	ADJ
ejpam-6267	5	17	strategy	strategy	NOUN
ejpam-6267	5	18	that	that	PRON
ejpam-6267	5	19	combines	combine	VERB
ejpam-6267	5	20	the	the	DET
ejpam-6267	5	21	junaid	junaid	VERB
ejpam-6267	5	22	integral	integral	ADJ
ejpam-6267	5	23	transform	transform	VERB
ejpam-6267	5	24	tn	tn	NOUN
ejpam-6267	5	25	g	g	NOUN
ejpam-6267	5	26	with	with	ADP
ejpam-6267	5	27	the	the	DET
ejpam-6267	5	28	adomian	adomian	NOUN
ejpam-6267	5	29	decomposition	decomposition	NOUN
ejpam-6267	5	30	method	method	NOUN
ejpam-6267	5	31	(	(	PUNCT
ejpam-6267	5	32	adm	adm	PROPN
ejpam-6267	5	33	)	)	PUNCT
ejpam-6267	5	34	and	and	CCONJ
ejpam-6267	5	35	an	an	DET
ejpam-6267	5	36	artificial	artificial	ADJ
ejpam-6267	5	37	neural	neural	ADJ
ejpam-6267	5	38	network	network	NOUN
ejpam-6267	5	39	(	(	PUNCT
ejpam-6267	5	40	ann	ann	PROPN
ejpam-6267	5	41	)	)	PUNCT
ejpam-6267	5	42	.	.	PUNCT
ejpam-6267	6	1	the	the	DET
ejpam-6267	6	2	combined	combined	PROPN
ejpam-6267	6	3	tn	tn	PROPN
ejpam-6267	6	4	gadm	gadm	NOUN
ejpam-6267	6	5	stage	stage	NOUN
ejpam-6267	6	6	ensures	ensure	VERB
ejpam-6267	6	7	rapid	rapid	ADJ
ejpam-6267	6	8	convergence	convergence	NOUN
ejpam-6267	6	9	and	and	CCONJ
ejpam-6267	6	10	accurate	accurate	ADJ
ejpam-6267	6	11	series	series	NOUN
ejpam-6267	6	12	solutions	solution	NOUN
ejpam-6267	6	13	,	,	PUNCT
ejpam-6267	6	14	while	while	SCONJ
ejpam-6267	6	15	the	the	DET
ejpam-6267	6	16	ann	ann	PROPN
ejpam-6267	6	17	improves	improve	VERB
ejpam-6267	6	18	predictive	predictive	ADJ
ejpam-6267	6	19	performance	performance	NOUN
ejpam-6267	6	20	by	by	ADP
ejpam-6267	6	21	learning	learn	VERB
ejpam-6267	6	22	directly	directly	ADV
ejpam-6267	6	23	from	from	ADP
ejpam-6267	6	24	the	the	DET
ejpam-6267	6	25	system	system	NOUN
ejpam-6267	6	26	dynamics	dynamic	NOUN
ejpam-6267	6	27	.	.	PUNCT
ejpam-6267	7	1	numerical	numerical	ADJ
ejpam-6267	7	2	simulations	simulation	NOUN
ejpam-6267	7	3	validate	validate	VERB
ejpam-6267	7	4	the	the	DET
ejpam-6267	7	5	effectiveness	effectiveness	NOUN
ejpam-6267	7	6	and	and	CCONJ
ejpam-6267	7	7	computational	computational	ADJ
ejpam-6267	7	8	efficiency	efficiency	NOUN
ejpam-6267	7	9	of	of	ADP
ejpam-6267	7	10	the	the	DET
ejpam-6267	7	11	proposed	propose	VERB
ejpam-6267	7	12	approach	approach	NOUN
ejpam-6267	7	13	,	,	PUNCT
ejpam-6267	7	14	demonstrating	demonstrate	VERB
ejpam-6267	7	15	its	its	PRON
ejpam-6267	7	16	suitability	suitability	NOUN
ejpam-6267	7	17	for	for	ADP
ejpam-6267	7	18	modelling	model	VERB
ejpam-6267	7	19	memory	memory	NOUN
ejpam-6267	7	20	-	-	PUNCT
ejpam-6267	7	21	dependent	dependent	ADJ
ejpam-6267	7	22	epidemiological	epidemiological	ADJ
ejpam-6267	7	23	processes	process	NOUN
ejpam-6267	7	24	.	.	PUNCT
ejpam-6267	8	1	2020	2020	NUM
ejpam-6267	8	2	mathematics	mathematic	NOUN
ejpam-6267	8	3	subject	subject	NOUN
ejpam-6267	8	4	classifications	classification	NOUN
ejpam-6267	8	5	:	:	PUNCT
ejpam-6267	8	6	92d30	92d30	NUM
ejpam-6267	8	7	,	,	PUNCT
ejpam-6267	8	8	92d25	92d25	NUM
ejpam-6267	8	9	,	,	PUNCT
ejpam-6267	8	10	26a33	26a33	NUM
ejpam-6267	8	11	,	,	PUNCT
ejpam-6267	8	12	65r10	65r10	NUM
ejpam-6267	8	13	,	,	PUNCT
ejpam-6267	8	14	65l05	65l05	NUM
ejpam-6267	8	15	key	key	ADJ
ejpam-6267	8	16	words	word	NOUN
ejpam-6267	8	17	and	and	CCONJ
ejpam-6267	8	18	phrases	phrase	NOUN
ejpam-6267	8	19	:	:	PUNCT
ejpam-6267	8	20	fractional	fractional	ADJ
ejpam-6267	8	21	smoking	smoking	NOUN
ejpam-6267	8	22	epidemic	epidemic	NOUN
ejpam-6267	8	23	model	model	NOUN
ejpam-6267	8	24	,	,	PUNCT
ejpam-6267	8	25	caputo	caputo	PROPN
ejpam-6267	8	26	fractional	fractional	PROPN
ejpam-6267	8	27	derivative	derivative	PROPN
ejpam-6267	8	28	,	,	PUNCT
ejpam-6267	8	29	junaid	junaid	VERB
ejpam-6267	8	30	transform	transform	VERB
ejpam-6267	8	31	,	,	PUNCT
ejpam-6267	8	32	adomian	adomian	NOUN
ejpam-6267	8	33	decomposition	decomposition	NOUN
ejpam-6267	8	34	method	method	NOUN
ejpam-6267	8	35	∗corresponding	∗corresponde	VERB
ejpam-6267	8	36	author	author	NOUN
ejpam-6267	8	37	.	.	PUNCT
ejpam-6267	9	1	doi	doi	NOUN
ejpam-6267	9	2	:	:	PUNCT
ejpam-6267	9	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6267	https://doi.org/10.29020/nybg.ejpam.v18i4.6267	ADJ
ejpam-6267	9	4	email	email	NOUN
ejpam-6267	9	5	addresses	address	NOUN
ejpam-6267	9	6	:	:	PUNCT
ejpam-6267	9	7	r.belgacem@univ-chlef.dz	r.belgacem@univ-chlef.dz	X
ejpam-6267	9	8	(	(	PUNCT
ejpam-6267	9	9	r.	r.	NOUN
ejpam-6267	9	10	belgacem	belgacem	NOUN
ejpam-6267	9	11	)	)	PUNCT
ejpam-6267	9	12	,	,	PUNCT
ejpam-6267	9	13	bokhari.ahmed@ymail.com	bokhari.ahmed@ymail.com	X
ejpam-6267	9	14	(	(	PUNCT
ejpam-6267	9	15	a.	a.	NOUN
ejpam-6267	9	16	bokhari	bokhari	PROPN
ejpam-6267	9	17	)	)	PUNCT
ejpam-6267	9	18	,	,	PUNCT
ejpam-6267	9	19	benali4848@gmail.com	benali4848@gmail.com	X
ejpam-6267	10	1	(	(	PUNCT
ejpam-6267	10	2	a.	a.	NOUN
ejpam-6267	10	3	benali	benali	PROPN
ejpam-6267	10	4	)	)	PUNCT
ejpam-6267	10	5	,	,	PUNCT
ejpam-6267	10	6	ialraddadi@iu.edu.sa	ialraddadi@iu.edu.sa	PROPN
ejpam-6267	10	7	(	(	PUNCT
ejpam-6267	10	8	i.	i.	NOUN
ejpam-6267	10	9	alraddadi	alraddadi	PROPN
ejpam-6267	10	10	)	)	PUNCT
ejpam-6267	10	11	,	,	PUNCT
ejpam-6267	10	12	hijaz.ahmad@neu.edu.tr	hijaz.ahmad@neu.edu.tr	PROPN
ejpam-6267	10	13	(	(	PUNCT
ejpam-6267	10	14	h.	h.	PROPN
ejpam-6267	10	15	ahmad	ahmad	PROPN
ejpam-6267	10	16	)	)	PUNCT
ejpam-6267	10	17	,	,	PUNCT
ejpam-6267	10	18	w.abdelfattah@ubt.edu.sa	w.abdelfattah@ubt.edu.sa	PROPN
ejpam-6267	10	19	(	(	PUNCT
ejpam-6267	10	20	w.	w.	PROPN
ejpam-6267	10	21	m.	m.	PROPN
ejpam-6267	10	22	abdelfattah	abdelfattah	PROPN
ejpam-6267	10	23	)	)	PUNCT
ejpam-6267	10	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6267	11	1	1	1	NUM
ejpam-6267	11	2	copyright	copyright	NOUN
ejpam-6267	11	3	:	:	PUNCT
ejpam-6267	11	4	©	©	PROPN
ejpam-6267	11	5	2025	2025	NUM
ejpam-6267	11	6	the	the	DET
ejpam-6267	11	7	author(s	author(s	NOUN
ejpam-6267	11	8	)	)	PUNCT
ejpam-6267	11	9	.	.	PUNCT
ejpam-6267	12	1	(	(	PUNCT
ejpam-6267	12	2	cc	cc	NOUN
ejpam-6267	12	3	by	by	ADP
ejpam-6267	12	4	-	-	PUNCT
ejpam-6267	12	5	nc	nc	PROPN
ejpam-6267	12	6	4.0	4.0	NUM
ejpam-6267	12	7	)	)	PUNCT
ejpam-6267	12	8	r.	r.	NOUN
ejpam-6267	12	9	belgacem	belgacem	NOUN
ejpam-6267	12	10	et	et	PROPN
ejpam-6267	12	11	al	al	PROPN
ejpam-6267	12	12	.	.	PUNCT
ejpam-6267	12	13	/	/	SYM
ejpam-6267	12	14	eur	eur	PROPN
ejpam-6267	12	15	.	.	PUNCT
ejpam-6267	13	1	j.	j.	PROPN
ejpam-6267	13	2	pure	pure	PROPN
ejpam-6267	13	3	appl	appl	PROPN
ejpam-6267	13	4	.	.	PROPN
ejpam-6267	13	5	math	math	PROPN
ejpam-6267	13	6	,	,	PUNCT
ejpam-6267	13	7	18	18	NUM
ejpam-6267	13	8	(	(	PUNCT
ejpam-6267	13	9	4	4	NUM
ejpam-6267	13	10	)	)	PUNCT
ejpam-6267	13	11	(	(	PUNCT
ejpam-6267	13	12	2025	2025	NUM
ejpam-6267	13	13	)	)	PUNCT
ejpam-6267	13	14	,	,	PUNCT
ejpam-6267	13	15	6267	6267	NUM
ejpam-6267	13	16	2	2	NUM
ejpam-6267	13	17	of	of	ADP
ejpam-6267	13	18	26	26	NUM
ejpam-6267	13	19	1	1	NUM
ejpam-6267	13	20	.	.	PUNCT
ejpam-6267	14	1	introduction	introduction	NOUN
ejpam-6267	14	2	in	in	ADP
ejpam-6267	14	3	recent	recent	ADJ
ejpam-6267	14	4	years	year	NOUN
ejpam-6267	14	5	,	,	PUNCT
ejpam-6267	14	6	integral	integral	ADJ
ejpam-6267	14	7	transforms	transform	NOUN
ejpam-6267	14	8	have	have	AUX
ejpam-6267	14	9	emerged	emerge	VERB
ejpam-6267	14	10	as	as	ADP
ejpam-6267	14	11	powerful	powerful	ADJ
ejpam-6267	14	12	mathematical	mathematical	ADJ
ejpam-6267	14	13	tools	tool	NOUN
ejpam-6267	14	14	,	,	PUNCT
ejpam-6267	14	15	attracting	attract	VERB
ejpam-6267	14	16	increasing	increase	VERB
ejpam-6267	14	17	attention	attention	NOUN
ejpam-6267	14	18	from	from	ADP
ejpam-6267	14	19	researchers	researcher	NOUN
ejpam-6267	14	20	across	across	ADP
ejpam-6267	14	21	various	various	ADJ
ejpam-6267	14	22	scientific	scientific	ADJ
ejpam-6267	14	23	fields	field	NOUN
ejpam-6267	14	24	.	.	PUNCT
ejpam-6267	15	1	their	their	PRON
ejpam-6267	15	2	effectiveness	effectiveness	NOUN
ejpam-6267	15	3	in	in	ADP
ejpam-6267	15	4	solving	solve	VERB
ejpam-6267	15	5	a	a	DET
ejpam-6267	15	6	wide	wide	ADJ
ejpam-6267	15	7	range	range	NOUN
ejpam-6267	15	8	of	of	ADP
ejpam-6267	15	9	linear	linear	PROPN
ejpam-6267	15	10	equations	equation	NOUN
ejpam-6267	15	11	including	include	VERB
ejpam-6267	15	12	ordinary	ordinary	ADJ
ejpam-6267	15	13	and	and	CCONJ
ejpam-6267	15	14	partial	partial	ADJ
ejpam-6267	15	15	differential	differential	ADJ
ejpam-6267	15	16	equations	equation	NOUN
ejpam-6267	15	17	(	(	PUNCT
ejpam-6267	15	18	odes	ode	NOUN
ejpam-6267	15	19	and	and	CCONJ
ejpam-6267	15	20	pdes	pde	NOUN
ejpam-6267	15	21	)	)	PUNCT
ejpam-6267	15	22	,	,	PUNCT
ejpam-6267	15	23	integral	integral	ADJ
ejpam-6267	15	24	equations	equation	NOUN
ejpam-6267	15	25	,	,	PUNCT
ejpam-6267	15	26	and	and	CCONJ
ejpam-6267	15	27	fractional	fractional	ADJ
ejpam-6267	15	28	differential	differential	ADJ
ejpam-6267	15	29	equations	equation	NOUN
ejpam-6267	15	30	(	(	PUNCT
ejpam-6267	15	31	fdes	fde	NOUN
ejpam-6267	15	32	)	)	PUNCT
ejpam-6267	15	33	lies	lie	VERB
ejpam-6267	15	34	in	in	ADP
ejpam-6267	15	35	their	their	PRON
ejpam-6267	15	36	ability	ability	NOUN
ejpam-6267	15	37	to	to	PART
ejpam-6267	15	38	convert	convert	VERB
ejpam-6267	15	39	complex	complex	ADJ
ejpam-6267	15	40	differential	differential	ADJ
ejpam-6267	15	41	problems	problem	NOUN
ejpam-6267	15	42	into	into	ADP
ejpam-6267	15	43	simpler	simple	ADJ
ejpam-6267	15	44	algebraic	algebraic	ADJ
ejpam-6267	15	45	forms	form	NOUN
ejpam-6267	15	46	.	.	PUNCT
ejpam-6267	16	1	this	this	DET
ejpam-6267	16	2	transformation	transformation	NOUN
ejpam-6267	16	3	simplifies	simplify	VERB
ejpam-6267	16	4	the	the	DET
ejpam-6267	16	5	solution	solution	NOUN
ejpam-6267	16	6	process	process	NOUN
ejpam-6267	16	7	and	and	CCONJ
ejpam-6267	16	8	accelerates	accelerate	VERB
ejpam-6267	16	9	computations	computation	NOUN
ejpam-6267	16	10	.	.	PUNCT
ejpam-6267	17	1	as	as	ADP
ejpam-6267	17	2	a	a	DET
ejpam-6267	17	3	result	result	NOUN
ejpam-6267	17	4	,	,	PUNCT
ejpam-6267	17	5	integral	integral	ADJ
ejpam-6267	17	6	transforms	transform	NOUN
ejpam-6267	17	7	have	have	AUX
ejpam-6267	17	8	found	find	VERB
ejpam-6267	17	9	widespread	widespread	ADJ
ejpam-6267	17	10	application	application	NOUN
ejpam-6267	17	11	across	across	ADP
ejpam-6267	17	12	various	various	ADJ
ejpam-6267	17	13	disciplines	discipline	NOUN
ejpam-6267	17	14	,	,	PUNCT
ejpam-6267	17	15	fostering	foster	VERB
ejpam-6267	17	16	the	the	DET
ejpam-6267	17	17	development	development	NOUN
ejpam-6267	17	18	of	of	ADP
ejpam-6267	17	19	new	new	ADJ
ejpam-6267	17	20	methods	method	NOUN
ejpam-6267	17	21	and	and	CCONJ
ejpam-6267	17	22	enhancing	enhance	VERB
ejpam-6267	17	23	existing	exist	VERB
ejpam-6267	17	24	ones	one	NOUN
ejpam-6267	17	25	.	.	PUNCT
ejpam-6267	18	1	however	however	ADV
ejpam-6267	18	2	,	,	PUNCT
ejpam-6267	18	3	the	the	DET
ejpam-6267	18	4	inversion	inversion	NOUN
ejpam-6267	18	5	of	of	ADP
ejpam-6267	18	6	these	these	PRON
ejpam-6267	18	7	transforms	transform	VERB
ejpam-6267	18	8	remains	remain	VERB
ejpam-6267	18	9	a	a	DET
ejpam-6267	18	10	critical	critical	ADJ
ejpam-6267	18	11	step	step	NOUN
ejpam-6267	18	12	in	in	ADP
ejpam-6267	18	13	obtaining	obtain	VERB
ejpam-6267	18	14	the	the	DET
ejpam-6267	18	15	final	final	ADJ
ejpam-6267	18	16	solution	solution	NOUN
ejpam-6267	18	17	.	.	PUNCT
ejpam-6267	19	1	recent	recent	ADJ
ejpam-6267	19	2	advancements	advancement	NOUN
ejpam-6267	19	3	in	in	ADP
ejpam-6267	19	4	integral	integral	ADJ
ejpam-6267	19	5	transforms	transform	NOUN
ejpam-6267	19	6	have	have	AUX
ejpam-6267	19	7	revolutionized	revolutionize	VERB
ejpam-6267	19	8	the	the	DET
ejpam-6267	19	9	computation	computation	NOUN
ejpam-6267	19	10	of	of	ADP
ejpam-6267	19	11	pdes	pde	NOUN
ejpam-6267	19	12	,	,	PUNCT
ejpam-6267	19	13	enabling	enable	VERB
ejpam-6267	19	14	both	both	CCONJ
ejpam-6267	19	15	precise	precise	ADJ
ejpam-6267	19	16	and	and	CCONJ
ejpam-6267	19	17	approximate	approximate	ADJ
ejpam-6267	19	18	solutions	solution	NOUN
ejpam-6267	19	19	[	[	X
ejpam-6267	19	20	1	1	NUM
ejpam-6267	19	21	]	]	PUNCT
ejpam-6267	19	22	.	.	PUNCT
ejpam-6267	20	1	their	their	PRON
ejpam-6267	20	2	inherent	inherent	ADJ
ejpam-6267	20	3	capability	capability	NOUN
ejpam-6267	20	4	to	to	PART
ejpam-6267	20	5	map	map	VERB
ejpam-6267	20	6	functions	function	NOUN
ejpam-6267	20	7	between	between	ADP
ejpam-6267	20	8	different	different	ADJ
ejpam-6267	20	9	domains	domain	NOUN
ejpam-6267	20	10	while	while	SCONJ
ejpam-6267	20	11	preserving	preserve	VERB
ejpam-6267	20	12	key	key	ADJ
ejpam-6267	20	13	properties	property	NOUN
ejpam-6267	20	14	ensures	ensure	VERB
ejpam-6267	20	15	efficient	efficient	ADJ
ejpam-6267	20	16	and	and	CCONJ
ejpam-6267	20	17	accurate	accurate	ADJ
ejpam-6267	20	18	outcomes	outcome	NOUN
ejpam-6267	20	19	,	,	PUNCT
ejpam-6267	20	20	making	make	VERB
ejpam-6267	20	21	them	they	PRON
ejpam-6267	20	22	indispensable	indispensable	ADJ
ejpam-6267	20	23	in	in	ADP
ejpam-6267	20	24	applied	apply	VERB
ejpam-6267	20	25	mathematics	mathematic	NOUN
ejpam-6267	20	26	.	.	PUNCT
ejpam-6267	21	1	moreover	moreover	ADV
ejpam-6267	21	2	,	,	PUNCT
ejpam-6267	21	3	combining	combine	VERB
ejpam-6267	21	4	integral	integral	ADJ
ejpam-6267	21	5	transforms	transform	NOUN
ejpam-6267	21	6	with	with	ADP
ejpam-6267	21	7	other	other	ADJ
ejpam-6267	21	8	techniques	technique	NOUN
ejpam-6267	21	9	can	can	AUX
ejpam-6267	21	10	effectively	effectively	ADV
ejpam-6267	21	11	tackle	tackle	VERB
ejpam-6267	21	12	the	the	DET
ejpam-6267	21	13	nonlinear	nonlinear	ADJ
ejpam-6267	21	14	components	component	NOUN
ejpam-6267	21	15	of	of	ADP
ejpam-6267	21	16	equations	equation	NOUN
ejpam-6267	21	17	,	,	PUNCT
ejpam-6267	21	18	leading	lead	VERB
ejpam-6267	21	19	to	to	ADP
ejpam-6267	21	20	more	more	ADV
ejpam-6267	21	21	efficient	efficient	ADJ
ejpam-6267	21	22	solutions	solution	NOUN
ejpam-6267	21	23	and	and	CCONJ
ejpam-6267	21	24	improved	improved	ADJ
ejpam-6267	21	25	accuracy	accuracy	NOUN
ejpam-6267	21	26	[	[	X
ejpam-6267	21	27	2	2	NUM
ejpam-6267	21	28	]	]	PUNCT
ejpam-6267	21	29	.	.	PUNCT
ejpam-6267	22	1	one	one	NUM
ejpam-6267	22	2	such	such	ADJ
ejpam-6267	22	3	technique	technique	NOUN
ejpam-6267	22	4	is	be	AUX
ejpam-6267	22	5	the	the	DET
ejpam-6267	22	6	adomian	adomian	ADJ
ejpam-6267	22	7	decomposition	decomposition	NOUN
ejpam-6267	22	8	method	method	NOUN
ejpam-6267	22	9	(	(	PUNCT
ejpam-6267	22	10	adm)[3	adm)[3	NOUN
ejpam-6267	22	11	]	]	PUNCT
ejpam-6267	22	12	,	,	PUNCT
ejpam-6267	22	13	which	which	PRON
ejpam-6267	22	14	has	have	AUX
ejpam-6267	22	15	proven	prove	VERB
ejpam-6267	22	16	highly	highly	ADV
ejpam-6267	22	17	effective	effective	ADJ
ejpam-6267	22	18	for	for	ADP
ejpam-6267	22	19	solving	solve	VERB
ejpam-6267	22	20	complex	complex	ADJ
ejpam-6267	22	21	odes	ode	NOUN
ejpam-6267	22	22	,	,	PUNCT
ejpam-6267	22	23	pdes	pde	NOUN
ejpam-6267	22	24	,	,	PUNCT
ejpam-6267	22	25	and	and	CCONJ
ejpam-6267	22	26	fdes	fde	NOUN
ejpam-6267	22	27	[	[	X
ejpam-6267	22	28	4	4	NUM
ejpam-6267	22	29	]	]	PUNCT
ejpam-6267	22	30	.	.	PUNCT
ejpam-6267	23	1	over	over	ADP
ejpam-6267	23	2	the	the	DET
ejpam-6267	23	3	past	past	ADJ
ejpam-6267	23	4	two	two	NUM
ejpam-6267	23	5	decades	decade	NOUN
ejpam-6267	23	6	,	,	PUNCT
ejpam-6267	23	7	a	a	DET
ejpam-6267	23	8	variety	variety	NOUN
ejpam-6267	23	9	of	of	ADP
ejpam-6267	23	10	integral	integral	ADJ
ejpam-6267	23	11	laplace	laplace	NOUN
ejpam-6267	23	12	-	-	PUNCT
ejpam-6267	23	13	type	type	NOUN
ejpam-6267	23	14	transformations	transformation	NOUN
ejpam-6267	23	15	have	have	AUX
ejpam-6267	23	16	been	be	AUX
ejpam-6267	23	17	developed	develop	VERB
ejpam-6267	23	18	,	,	PUNCT
ejpam-6267	23	19	including	include	VERB
ejpam-6267	23	20	the	the	DET
ejpam-6267	23	21	sumudu	sumudu	NOUN
ejpam-6267	23	22	[	[	X
ejpam-6267	23	23	5	5	NUM
ejpam-6267	23	24	]	]	PUNCT
ejpam-6267	23	25	,	,	PUNCT
ejpam-6267	23	26	elzaki	elzaki	VERB
ejpam-6267	24	1	[	[	X
ejpam-6267	24	2	6	6	NUM
ejpam-6267	24	3	]	]	PUNCT
ejpam-6267	24	4	,	,	PUNCT
ejpam-6267	24	5	natural	natural	ADJ
ejpam-6267	24	6	[	[	X
ejpam-6267	24	7	7	7	NUM
ejpam-6267	24	8	]	]	PUNCT
ejpam-6267	24	9	,	,	PUNCT
ejpam-6267	24	10	aboodh	aboodh	X
ejpam-6267	25	1	[	[	X
ejpam-6267	25	2	8	8	NUM
ejpam-6267	25	3	]	]	PUNCT
ejpam-6267	25	4	,	,	PUNCT
ejpam-6267	25	5	mohand	mohand	NOUN
ejpam-6267	26	1	[	[	X
ejpam-6267	26	2	9	9	NUM
ejpam-6267	26	3	]	]	PUNCT
ejpam-6267	26	4	,	,	PUNCT
ejpam-6267	26	5	sawi	sawi	ADJ
ejpam-6267	27	1	[	[	X
ejpam-6267	27	2	10	10	NUM
ejpam-6267	27	3	]	]	PUNCT
ejpam-6267	27	4	,	,	PUNCT
ejpam-6267	27	5	shehu	shehu	X
ejpam-6267	28	1	[	[	X
ejpam-6267	28	2	11–14	11–14	NUM
ejpam-6267	28	3	]	]	X
ejpam-6267	28	4	,	,	PUNCT
ejpam-6267	28	5	kamal[15	kamal[15	PROPN
ejpam-6267	28	6	]	]	PUNCT
ejpam-6267	28	7	and	and	CCONJ
ejpam-6267	28	8	jafari	jafari	PROPN
ejpam-6267	29	1	[	[	X
ejpam-6267	29	2	16	16	NUM
ejpam-6267	29	3	,	,	PUNCT
ejpam-6267	29	4	17	17	NUM
ejpam-6267	29	5	]	]	PUNCT
ejpam-6267	29	6	transformations	transformation	NOUN
ejpam-6267	29	7	.	.	PUNCT
ejpam-6267	30	1	more	more	ADV
ejpam-6267	30	2	recently	recently	ADV
ejpam-6267	30	3	,	,	PUNCT
ejpam-6267	30	4	hybrid	hybrid	ADJ
ejpam-6267	30	5	approaches	approach	NOUN
ejpam-6267	30	6	involving	involve	VERB
ejpam-6267	30	7	neural	neural	ADJ
ejpam-6267	30	8	networks	network	NOUN
ejpam-6267	30	9	and	and	CCONJ
ejpam-6267	30	10	integral	integral	ADJ
ejpam-6267	30	11	transforms	transform	NOUN
ejpam-6267	30	12	have	have	AUX
ejpam-6267	30	13	been	be	AUX
ejpam-6267	30	14	explored	explore	VERB
ejpam-6267	30	15	to	to	PART
ejpam-6267	30	16	approximate	approximate	ADJ
ejpam-6267	30	17	solutions	solution	NOUN
ejpam-6267	30	18	of	of	ADP
ejpam-6267	30	19	complex	complex	ADJ
ejpam-6267	30	20	fractional	fractional	ADJ
ejpam-6267	30	21	models	model	NOUN
ejpam-6267	30	22	.	.	PUNCT
ejpam-6267	31	1	the	the	DET
ejpam-6267	31	2	successful	successful	ADJ
ejpam-6267	31	3	application	application	NOUN
ejpam-6267	31	4	of	of	ADP
ejpam-6267	31	5	hybrid	hybrid	ADJ
ejpam-6267	31	6	methodologies	methodology	NOUN
ejpam-6267	31	7	to	to	ADP
ejpam-6267	31	8	various	various	ADJ
ejpam-6267	31	9	fractional	fractional	ADJ
ejpam-6267	31	10	models	model	NOUN
ejpam-6267	31	11	provides	provide	VERB
ejpam-6267	31	12	strong	strong	ADJ
ejpam-6267	31	13	justification	justification	NOUN
ejpam-6267	31	14	for	for	ADP
ejpam-6267	31	15	our	our	PRON
ejpam-6267	31	16	approach	approach	NOUN
ejpam-6267	31	17	.	.	PUNCT
ejpam-6267	32	1	for	for	ADP
ejpam-6267	32	2	instance	instance	NOUN
ejpam-6267	32	3	,	,	PUNCT
ejpam-6267	32	4	the	the	DET
ejpam-6267	32	5	generalized	generalize	VERB
ejpam-6267	32	6	exponential	exponential	ADJ
ejpam-6267	32	7	rational	rational	ADJ
ejpam-6267	32	8	function	function	NOUN
ejpam-6267	32	9	method	method	NOUN
ejpam-6267	32	10	has	have	AUX
ejpam-6267	32	11	demonstrated	demonstrate	VERB
ejpam-6267	32	12	remarkable	remarkable	ADJ
ejpam-6267	32	13	efficacy	efficacy	NOUN
ejpam-6267	32	14	in	in	ADP
ejpam-6267	32	15	obtaining	obtain	VERB
ejpam-6267	32	16	optical	optical	ADJ
ejpam-6267	32	17	soliton	soliton	NOUN
ejpam-6267	32	18	solutions	solution	NOUN
ejpam-6267	32	19	for	for	ADP
ejpam-6267	32	20	dual	dual	ADJ
ejpam-6267	32	21	-	-	PUNCT
ejpam-6267	32	22	mode	mode	NOUN
ejpam-6267	32	23	time	time	NOUN
ejpam-6267	32	24	-	-	PUNCT
ejpam-6267	32	25	fractional	fractional	ADJ
ejpam-6267	32	26	nonlinear	nonlinear	ADJ
ejpam-6267	32	27	schrödinger	schrödinger	ADJ
ejpam-6267	32	28	equations	equation	NOUN
ejpam-6267	33	1	[	[	X
ejpam-6267	33	2	18	18	NUM
ejpam-6267	33	3	]	]	PUNCT
ejpam-6267	33	4	,	,	PUNCT
ejpam-6267	33	5	while	while	SCONJ
ejpam-6267	33	6	innovative	innovative	ADJ
ejpam-6267	33	7	approaches	approach	NOUN
ejpam-6267	33	8	have	have	AUX
ejpam-6267	33	9	been	be	AUX
ejpam-6267	33	10	developed	develop	VERB
ejpam-6267	33	11	for	for	ADP
ejpam-6267	33	12	solving	solve	VERB
ejpam-6267	33	13	(	(	PUNCT
ejpam-6267	33	14	2	2	NUM
ejpam-6267	33	15	+	+	NOUN
ejpam-6267	33	16	1)-dimensional	1)-dimensional	ADJ
ejpam-6267	33	17	generalized	generalize	VERB
ejpam-6267	33	18	kdv	kdv	NOUN
ejpam-6267	33	19	equations	equation	NOUN
ejpam-6267	34	1	[	[	X
ejpam-6267	34	2	19	19	NUM
ejpam-6267	34	3	]	]	PUNCT
ejpam-6267	34	4	.	.	PUNCT
ejpam-6267	35	1	these	these	DET
ejpam-6267	35	2	hybrid	hybrid	ADJ
ejpam-6267	35	3	analytical	analytical	ADJ
ejpam-6267	35	4	-	-	PUNCT
ejpam-6267	35	5	numerical	numerical	NOUN
ejpam-6267	35	6	techniques	technique	NOUN
ejpam-6267	35	7	have	have	AUX
ejpam-6267	35	8	shown	show	VERB
ejpam-6267	35	9	great	great	ADJ
ejpam-6267	35	10	potential	potential	NOUN
ejpam-6267	35	11	for	for	ADP
ejpam-6267	35	12	handling	handle	VERB
ejpam-6267	35	13	complex	complex	ADJ
ejpam-6267	35	14	nonlinear	nonlinear	ADJ
ejpam-6267	35	15	systems	system	NOUN
ejpam-6267	35	16	similar	similar	ADJ
ejpam-6267	35	17	to	to	ADP
ejpam-6267	35	18	our	our	PRON
ejpam-6267	35	19	smoking	smoking	NOUN
ejpam-6267	35	20	epidemic	epidemic	NOUN
ejpam-6267	35	21	model	model	NOUN
ejpam-6267	35	22	.	.	PUNCT
ejpam-6267	36	1	similarly	similarly	ADV
ejpam-6267	36	2	,	,	PUNCT
ejpam-6267	36	3	the	the	DET
ejpam-6267	36	4	integration	integration	NOUN
ejpam-6267	36	5	of	of	ADP
ejpam-6267	36	6	neural	neural	ADJ
ejpam-6267	36	7	networks	network	NOUN
ejpam-6267	36	8	with	with	ADP
ejpam-6267	36	9	fractional	fractional	ADJ
ejpam-6267	36	10	calculus	calculus	NOUN
ejpam-6267	36	11	has	have	AUX
ejpam-6267	36	12	emerged	emerge	VERB
ejpam-6267	36	13	as	as	ADP
ejpam-6267	36	14	a	a	DET
ejpam-6267	36	15	powerful	powerful	ADJ
ejpam-6267	36	16	paradigm	paradigm	NOUN
ejpam-6267	36	17	.	.	PUNCT
ejpam-6267	37	1	recent	recent	ADJ
ejpam-6267	37	2	work	work	NOUN
ejpam-6267	37	3	on	on	ADP
ejpam-6267	37	4	modeling	modeling	NOUN
ejpam-6267	37	5	and	and	CCONJ
ejpam-6267	37	6	neural	neural	ADJ
ejpam-6267	37	7	network	network	NOUN
ejpam-6267	37	8	approximation	approximation	NOUN
ejpam-6267	37	9	of	of	ADP
ejpam-6267	37	10	asymptotic	asymptotic	ADJ
ejpam-6267	37	11	behavior	behavior	NOUN
ejpam-6267	37	12	for	for	ADP
ejpam-6267	37	13	delta	delta	NOUN
ejpam-6267	37	14	fractional	fractional	ADJ
ejpam-6267	37	15	difference	difference	NOUN
ejpam-6267	37	16	equations	equation	NOUN
ejpam-6267	37	17	with	with	ADP
ejpam-6267	37	18	mittag	mittag	ADJ
ejpam-6267	37	19	-	-	PUNCT
ejpam-6267	37	20	leffler	leffler	NOUN
ejpam-6267	37	21	kernels	kernel	NOUN
ejpam-6267	37	22	[	[	X
ejpam-6267	37	23	20	20	NUM
ejpam-6267	37	24	]	]	PUNCT
ejpam-6267	37	25	demonstrates	demonstrate	VERB
ejpam-6267	37	26	how	how	SCONJ
ejpam-6267	37	27	machine	machine	NOUN
ejpam-6267	37	28	learning	learning	NOUN
ejpam-6267	37	29	can	can	AUX
ejpam-6267	37	30	enhance	enhance	VERB
ejpam-6267	37	31	traditional	traditional	ADJ
ejpam-6267	37	32	analytical	analytical	ADJ
ejpam-6267	37	33	methods	method	NOUN
ejpam-6267	37	34	.	.	PUNCT
ejpam-6267	38	1	this	this	PRON
ejpam-6267	38	2	aligns	align	VERB
ejpam-6267	38	3	with	with	ADP
ejpam-6267	38	4	our	our	PRON
ejpam-6267	38	5	approach	approach	NOUN
ejpam-6267	38	6	of	of	ADP
ejpam-6267	38	7	combining	combine	VERB
ejpam-6267	38	8	the	the	DET
ejpam-6267	38	9	tn	tn	NOUN
ejpam-6267	38	10	g	g	NOUN
ejpam-6267	38	11	-	-	PUNCT
ejpam-6267	38	12	transform	transform	NOUN
ejpam-6267	38	13	with	with	ADP
ejpam-6267	38	14	artificial	artificial	ADJ
ejpam-6267	38	15	neural	neural	ADJ
ejpam-6267	38	16	networks	network	NOUN
ejpam-6267	38	17	to	to	PART
ejpam-6267	38	18	improve	improve	VERB
ejpam-6267	38	19	accuracy	accuracy	NOUN
ejpam-6267	38	20	and	and	CCONJ
ejpam-6267	38	21	computational	computational	ADJ
ejpam-6267	38	22	efficiency	efficiency	NOUN
ejpam-6267	38	23	.	.	PUNCT
ejpam-6267	39	1	our	our	PRON
ejpam-6267	39	2	methodology	methodology	NOUN
ejpam-6267	39	3	also	also	ADV
ejpam-6267	39	4	draws	draw	VERB
ejpam-6267	39	5	inspiration	inspiration	NOUN
ejpam-6267	39	6	from	from	ADP
ejpam-6267	39	7	finite	finite	ADJ
ejpam-6267	39	8	difference	difference	NOUN
ejpam-6267	39	9	approaches	approach	NOUN
ejpam-6267	39	10	for	for	ADP
ejpam-6267	39	11	fractional	fractional	ADJ
ejpam-6267	39	12	models	model	NOUN
ejpam-6267	39	13	[	[	X
ejpam-6267	39	14	21	21	NUM
ejpam-6267	39	15	]	]	PUNCT
ejpam-6267	39	16	and	and	CCONJ
ejpam-6267	39	17	analytical	analytical	ADJ
ejpam-6267	39	18	algebraic	algebraic	ADJ
ejpam-6267	39	19	methods	method	NOUN
ejpam-6267	39	20	for	for	ADP
ejpam-6267	39	21	nonlinear	nonlinear	ADJ
ejpam-6267	39	22	fractional	fractional	ADJ
ejpam-6267	39	23	differential	differential	ADJ
ejpam-6267	39	24	equations	equation	NOUN
ejpam-6267	39	25	[	[	X
ejpam-6267	39	26	22	22	NUM
ejpam-6267	39	27	]	]	PUNCT
ejpam-6267	39	28	.	.	PUNCT
ejpam-6267	40	1	these	these	DET
ejpam-6267	40	2	established	establish	VERB
ejpam-6267	40	3	techniques	technique	NOUN
ejpam-6267	40	4	provide	provide	VERB
ejpam-6267	40	5	a	a	DET
ejpam-6267	40	6	solid	solid	ADJ
ejpam-6267	40	7	foundation	foundation	NOUN
ejpam-6267	40	8	for	for	ADP
ejpam-6267	40	9	our	our	PRON
ejpam-6267	40	10	hybrid	hybrid	NOUN
ejpam-6267	40	11	tn	tn	PROPN
ejpam-6267	40	12	g	g	PROPN
ejpam-6267	40	13	-	-	PUNCT
ejpam-6267	40	14	admann	admann	NOUN
ejpam-6267	40	15	framework	framework	NOUN
ejpam-6267	40	16	,	,	PUNCT
ejpam-6267	40	17	adapting	adapt	VERB
ejpam-6267	40	18	proven	prove	VERB
ejpam-6267	40	19	methods	method	NOUN
ejpam-6267	40	20	to	to	ADP
ejpam-6267	40	21	the	the	DET
ejpam-6267	40	22	specific	specific	ADJ
ejpam-6267	40	23	challenges	challenge	NOUN
ejpam-6267	40	24	of	of	ADP
ejpam-6267	40	25	smoking	smoking	NOUN
ejpam-6267	40	26	epidemic	epidemic	NOUN
ejpam-6267	40	27	modelling	modelling	NOUN
ejpam-6267	40	28	.	.	PUNCT
ejpam-6267	41	1	in	in	ADP
ejpam-6267	41	2	the	the	DET
ejpam-6267	41	3	reference	reference	NOUN
ejpam-6267	41	4	[	[	X
ejpam-6267	41	5	23	23	NUM
ejpam-6267	41	6	]	]	PUNCT
ejpam-6267	41	7	,	,	PUNCT
ejpam-6267	41	8	the	the	DET
ejpam-6267	41	9	author	author	NOUN
ejpam-6267	41	10	proposed	propose	VERB
ejpam-6267	41	11	a	a	DET
ejpam-6267	41	12	new	new	ADJ
ejpam-6267	41	13	generalized	generalized	ADJ
ejpam-6267	41	14	integral	integral	ADJ
ejpam-6267	41	15	transform	transform	NOUN
ejpam-6267	41	16	,	,	PUNCT
ejpam-6267	41	17	which	which	PRON
ejpam-6267	41	18	r.	r.	PROPN
ejpam-6267	41	19	belgacem	belgacem	NOUN
ejpam-6267	41	20	et	et	PROPN
ejpam-6267	41	21	al	al	PROPN
ejpam-6267	41	22	.	.	PUNCT
ejpam-6267	41	23	/	/	SYM
ejpam-6267	41	24	eur	eur	PROPN
ejpam-6267	41	25	.	.	PUNCT
ejpam-6267	42	1	j.	j.	PROPN
ejpam-6267	42	2	pure	pure	PROPN
ejpam-6267	42	3	appl	appl	PROPN
ejpam-6267	42	4	.	.	PROPN
ejpam-6267	42	5	math	math	PROPN
ejpam-6267	42	6	,	,	PUNCT
ejpam-6267	42	7	18	18	NUM
ejpam-6267	42	8	(	(	PUNCT
ejpam-6267	42	9	4	4	NUM
ejpam-6267	42	10	)	)	PUNCT
ejpam-6267	42	11	(	(	PUNCT
ejpam-6267	42	12	2025	2025	NUM
ejpam-6267	42	13	)	)	PUNCT
ejpam-6267	42	14	,	,	PUNCT
ejpam-6267	42	15	6267	6267	NUM
ejpam-6267	42	16	3	3	NUM
ejpam-6267	42	17	of	of	ADP
ejpam-6267	42	18	26	26	NUM
ejpam-6267	42	19	will	will	AUX
ejpam-6267	42	20	be	be	AUX
ejpam-6267	42	21	referred	refer	VERB
ejpam-6267	42	22	to	to	ADP
ejpam-6267	42	23	as	as	ADP
ejpam-6267	42	24	such	such	ADJ
ejpam-6267	42	25	tn	tn	NOUN
ejpam-6267	42	26	g	g	NOUN
ejpam-6267	42	27	-	-	PUNCT
ejpam-6267	42	28	transform	transform	NOUN
ejpam-6267	42	29	throughout	throughout	ADP
ejpam-6267	42	30	this	this	DET
ejpam-6267	42	31	paper	paper	NOUN
ejpam-6267	42	32	.	.	PUNCT
ejpam-6267	43	1	this	this	DET
ejpam-6267	43	2	transform	transform	NOUN
ejpam-6267	43	3	was	be	AUX
ejpam-6267	43	4	used	use	VERB
ejpam-6267	43	5	in	in	ADP
ejpam-6267	43	6	conjunction	conjunction	NOUN
ejpam-6267	43	7	with	with	ADP
ejpam-6267	43	8	the	the	DET
ejpam-6267	43	9	adm	adm	PROPN
ejpam-6267	43	10	method	method	NOUN
ejpam-6267	43	11	to	to	PART
ejpam-6267	43	12	solve	solve	VERB
ejpam-6267	43	13	non	non	ADJ
ejpam-6267	43	14	-	-	ADJ
ejpam-6267	43	15	linear	linear	ADJ
ejpam-6267	43	16	pdes	pde	NOUN
ejpam-6267	43	17	,	,	PUNCT
ejpam-6267	43	18	including	include	VERB
ejpam-6267	43	19	the	the	DET
ejpam-6267	43	20	gas	gas	NOUN
ejpam-6267	43	21	dynamic	dynamic	ADJ
ejpam-6267	43	22	equation	equation	NOUN
ejpam-6267	43	23	and	and	CCONJ
ejpam-6267	43	24	the	the	DET
ejpam-6267	43	25	system	system	NOUN
ejpam-6267	43	26	of	of	ADP
ejpam-6267	43	27	coupled	couple	VERB
ejpam-6267	43	28	burgers	burger	NOUN
ejpam-6267	43	29	’	'	PUNCT
ejpam-6267	43	30	equations	equation	NOUN
ejpam-6267	43	31	.	.	PUNCT
ejpam-6267	44	1	motivation	motivation	NOUN
ejpam-6267	44	2	and	and	CCONJ
ejpam-6267	44	3	originality	originality	NOUN
ejpam-6267	44	4	this	this	DET
ejpam-6267	44	5	work	work	NOUN
ejpam-6267	44	6	makes	make	VERB
ejpam-6267	44	7	several	several	ADJ
ejpam-6267	44	8	original	original	ADJ
ejpam-6267	44	9	contributions	contribution	NOUN
ejpam-6267	44	10	that	that	PRON
ejpam-6267	44	11	advance	advance	VERB
ejpam-6267	44	12	both	both	CCONJ
ejpam-6267	44	13	the	the	DET
ejpam-6267	44	14	theoretical	theoretical	ADJ
ejpam-6267	44	15	and	and	CCONJ
ejpam-6267	44	16	computational	computational	ADJ
ejpam-6267	44	17	treatment	treatment	NOUN
ejpam-6267	44	18	of	of	ADP
ejpam-6267	44	19	fdes	fde	NOUN
ejpam-6267	44	20	.	.	PUNCT
ejpam-6267	45	1	first	first	ADV
ejpam-6267	45	2	,	,	PUNCT
ejpam-6267	45	3	we	we	PRON
ejpam-6267	45	4	present	present	VERB
ejpam-6267	45	5	the	the	DET
ejpam-6267	45	6	explicit	explicit	ADJ
ejpam-6267	45	7	derivation	derivation	NOUN
ejpam-6267	45	8	of	of	ADP
ejpam-6267	45	9	the	the	DET
ejpam-6267	45	10	specific	specific	ADJ
ejpam-6267	45	11	integral	integral	ADJ
ejpam-6267	45	12	transform	transform	NOUN
ejpam-6267	45	13	tn	tn	NOUN
ejpam-6267	45	14	g	g	NOUN
ejpam-6267	45	15	for	for	ADP
ejpam-6267	45	16	the	the	DET
ejpam-6267	45	17	cf	cf	NOUN
ejpam-6267	45	18	derivative	derivative	NOUN
ejpam-6267	45	19	,	,	PUNCT
ejpam-6267	45	20	establishing	establish	VERB
ejpam-6267	45	21	a	a	DET
ejpam-6267	45	22	rigorous	rigorous	ADJ
ejpam-6267	45	23	analytical	analytical	ADJ
ejpam-6267	45	24	framework	framework	NOUN
ejpam-6267	45	25	that	that	PRON
ejpam-6267	45	26	enables	enable	VERB
ejpam-6267	45	27	the	the	DET
ejpam-6267	45	28	systematic	systematic	ADJ
ejpam-6267	45	29	conversion	conversion	NOUN
ejpam-6267	45	30	of	of	ADP
ejpam-6267	45	31	fdes	fde	NOUN
ejpam-6267	45	32	into	into	ADP
ejpam-6267	45	33	an	an	DET
ejpam-6267	45	34	equivalent	equivalent	ADJ
ejpam-6267	45	35	algebraic	algebraic	ADJ
ejpam-6267	45	36	form	form	NOUN
ejpam-6267	45	37	.	.	PUNCT
ejpam-6267	46	1	we	we	PRON
ejpam-6267	46	2	further	far	ADV
ejpam-6267	46	3	prove	prove	VERB
ejpam-6267	46	4	several	several	ADJ
ejpam-6267	46	5	recent	recent	ADJ
ejpam-6267	46	6	results	result	NOUN
ejpam-6267	46	7	regarding	regard	VERB
ejpam-6267	46	8	its	its	PRON
ejpam-6267	46	9	operational	operational	ADJ
ejpam-6267	46	10	properties	property	NOUN
ejpam-6267	46	11	,	,	PUNCT
ejpam-6267	46	12	which	which	PRON
ejpam-6267	46	13	significantly	significantly	ADV
ejpam-6267	46	14	enrich	enrich	VERB
ejpam-6267	46	15	the	the	DET
ejpam-6267	46	16	transform	transform	NOUN
ejpam-6267	46	17	’s	’s	PART
ejpam-6267	46	18	analytical	analytical	ADJ
ejpam-6267	46	19	capabilities	capability	NOUN
ejpam-6267	46	20	.	.	PUNCT
ejpam-6267	47	1	second	second	ADJ
ejpam-6267	47	2	,	,	PUNCT
ejpam-6267	47	3	we	we	PRON
ejpam-6267	47	4	develop	develop	VERB
ejpam-6267	47	5	a	a	DET
ejpam-6267	47	6	new	new	ADJ
ejpam-6267	47	7	hybrid	hybrid	NOUN
ejpam-6267	47	8	technique	technique	NOUN
ejpam-6267	47	9	,	,	PUNCT
ejpam-6267	47	10	denoted	denote	VERB
ejpam-6267	47	11	as	as	ADP
ejpam-6267	47	12	tn	tn	PROPN
ejpam-6267	47	13	g	g	PROPN
ejpam-6267	47	14	-	-	PUNCT
ejpam-6267	47	15	adm	adm	PROPN
ejpam-6267	47	16	,	,	PUNCT
ejpam-6267	47	17	which	which	PRON
ejpam-6267	47	18	synergistically	synergistically	ADV
ejpam-6267	47	19	combines	combine	VERB
ejpam-6267	47	20	the	the	DET
ejpam-6267	47	21	tn	tn	NOUN
ejpam-6267	47	22	g	g	NOUN
ejpam-6267	47	23	-	-	PUNCT
ejpam-6267	47	24	transform	transform	NOUN
ejpam-6267	47	25	with	with	ADP
ejpam-6267	47	26	the	the	DET
ejpam-6267	47	27	adm	adm	PROPN
ejpam-6267	47	28	method	method	NOUN
ejpam-6267	47	29	.	.	PUNCT
ejpam-6267	48	1	this	this	DET
ejpam-6267	48	2	approach	approach	NOUN
ejpam-6267	48	3	produces	produce	VERB
ejpam-6267	48	4	series	series	NOUN
ejpam-6267	48	5	solutions	solution	NOUN
ejpam-6267	48	6	with	with	ADP
ejpam-6267	48	7	rapid	rapid	ADJ
ejpam-6267	48	8	convergence	convergence	NOUN
ejpam-6267	48	9	and	and	CCONJ
ejpam-6267	48	10	incorporates	incorporate	VERB
ejpam-6267	48	11	auxiliary	auxiliary	ADJ
ejpam-6267	48	12	parameters	parameter	NOUN
ejpam-6267	48	13	to	to	ADP
ejpam-6267	48	14	fine	fine	ADJ
ejpam-6267	48	15	-	-	PUNCT
ejpam-6267	48	16	tune	tune	NOUN
ejpam-6267	48	17	and	and	CCONJ
ejpam-6267	48	18	optimize	optimize	VERB
ejpam-6267	48	19	the	the	DET
ejpam-6267	48	20	convergence	convergence	NOUN
ejpam-6267	48	21	process	process	NOUN
ejpam-6267	48	22	.	.	PUNCT
ejpam-6267	49	1	finally	finally	ADV
ejpam-6267	49	2	,	,	PUNCT
ejpam-6267	49	3	we	we	PRON
ejpam-6267	49	4	integrate	integrate	VERB
ejpam-6267	49	5	an	an	DET
ejpam-6267	49	6	artificial	artificial	ADJ
ejpam-6267	49	7	neural	neural	ADJ
ejpam-6267	49	8	network	network	NOUN
ejpam-6267	49	9	(	(	PUNCT
ejpam-6267	49	10	ann	ann	PROPN
ejpam-6267	49	11	)	)	PUNCT
ejpam-6267	49	12	algorithm	algorithm	NOUN
ejpam-6267	49	13	to	to	PART
ejpam-6267	49	14	enhance	enhance	VERB
ejpam-6267	49	15	the	the	DET
ejpam-6267	49	16	approximation	approximation	NOUN
ejpam-6267	49	17	accuracy	accuracy	NOUN
ejpam-6267	49	18	for	for	ADP
ejpam-6267	49	19	the	the	DET
ejpam-6267	49	20	fractional	fractional	ADJ
ejpam-6267	49	21	smoking	smoking	NOUN
ejpam-6267	49	22	epidemic	epidemic	NOUN
ejpam-6267	49	23	model	model	NOUN
ejpam-6267	49	24	,	,	PUNCT
ejpam-6267	49	25	significantly	significantly	ADV
ejpam-6267	49	26	improving	improve	VERB
ejpam-6267	49	27	the	the	DET
ejpam-6267	49	28	robustness	robustness	NOUN
ejpam-6267	49	29	,	,	PUNCT
ejpam-6267	49	30	precision	precision	NOUN
ejpam-6267	49	31	,	,	PUNCT
ejpam-6267	49	32	and	and	CCONJ
ejpam-6267	49	33	applicability	applicability	NOUN
ejpam-6267	49	34	of	of	ADP
ejpam-6267	49	35	the	the	DET
ejpam-6267	49	36	proposed	propose	VERB
ejpam-6267	49	37	methodology	methodology	NOUN
ejpam-6267	49	38	to	to	ADP
ejpam-6267	49	39	real	real	ADJ
ejpam-6267	49	40	-	-	PUNCT
ejpam-6267	49	41	world	world	NOUN
ejpam-6267	49	42	problems	problem	NOUN
ejpam-6267	49	43	.	.	PUNCT
ejpam-6267	50	1	the	the	DET
ejpam-6267	50	2	novelty	novelty	NOUN
ejpam-6267	50	3	of	of	ADP
ejpam-6267	50	4	our	our	PRON
ejpam-6267	50	5	work	work	NOUN
ejpam-6267	50	6	lies	lie	VERB
ejpam-6267	50	7	in	in	ADP
ejpam-6267	50	8	the	the	DET
ejpam-6267	50	9	unique	unique	ADJ
ejpam-6267	50	10	combination	combination	NOUN
ejpam-6267	50	11	of	of	ADP
ejpam-6267	50	12	these	these	DET
ejpam-6267	50	13	established	establish	VERB
ejpam-6267	50	14	techniquesintegral	techniquesintegral	NOUN
ejpam-6267	50	15	transforms	transform	NOUN
ejpam-6267	50	16	,	,	PUNCT
ejpam-6267	50	17	decomposition	decomposition	NOUN
ejpam-6267	50	18	methods	method	NOUN
ejpam-6267	50	19	,	,	PUNCT
ejpam-6267	50	20	and	and	CCONJ
ejpam-6267	50	21	neural	neural	ADJ
ejpam-6267	50	22	networksspecifically	networksspecifically	ADV
ejpam-6267	50	23	adapted	adapt	VERB
ejpam-6267	50	24	for	for	ADP
ejpam-6267	50	25	caputo	caputo	PROPN
ejpam-6267	50	26	fractional	fractional	ADJ
ejpam-6267	50	27	-	-	PUNCT
ejpam-6267	50	28	order	order	NOUN
ejpam-6267	50	29	epidemiological	epidemiological	ADJ
ejpam-6267	50	30	models	model	NOUN
ejpam-6267	50	31	.	.	PUNCT
ejpam-6267	51	1	while	while	SCONJ
ejpam-6267	51	2	each	each	DET
ejpam-6267	51	3	component	component	NOUN
ejpam-6267	51	4	has	have	AUX
ejpam-6267	51	5	been	be	AUX
ejpam-6267	51	6	individually	individually	ADV
ejpam-6267	51	7	validated	validate	VERB
ejpam-6267	51	8	in	in	ADP
ejpam-6267	51	9	previous	previous	ADJ
ejpam-6267	51	10	studies	study	NOUN
ejpam-6267	51	11	,	,	PUNCT
ejpam-6267	51	12	their	their	PRON
ejpam-6267	51	13	integration	integration	NOUN
ejpam-6267	51	14	into	into	ADP
ejpam-6267	51	15	a	a	DET
ejpam-6267	51	16	unified	unified	ADJ
ejpam-6267	51	17	framework	framework	NOUN
ejpam-6267	51	18	for	for	ADP
ejpam-6267	51	19	smoking	smoking	NOUN
ejpam-6267	51	20	dynamics	dynamic	NOUN
ejpam-6267	51	21	represents	represent	VERB
ejpam-6267	51	22	a	a	DET
ejpam-6267	51	23	significant	significant	ADJ
ejpam-6267	51	24	advancement	advancement	NOUN
ejpam-6267	51	25	in	in	ADP
ejpam-6267	51	26	computational	computational	ADJ
ejpam-6267	51	27	epidemiology	epidemiology	NOUN
ejpam-6267	51	28	[	[	X
ejpam-6267	51	29	24	24	NUM
ejpam-6267	51	30	,	,	PUNCT
ejpam-6267	51	31	25	25	NUM
ejpam-6267	51	32	]	]	PUNCT
ejpam-6267	51	33	.	.	PUNCT
ejpam-6267	52	1	this	this	DET
ejpam-6267	52	2	manuscript	manuscript	NOUN
ejpam-6267	52	3	is	be	AUX
ejpam-6267	52	4	structured	structure	VERB
ejpam-6267	52	5	as	as	SCONJ
ejpam-6267	52	6	follows	follow	VERB
ejpam-6267	52	7	.	.	PUNCT
ejpam-6267	53	1	section	section	NOUN
ejpam-6267	53	2	2	2	NUM
ejpam-6267	53	3	reviews	review	VERB
ejpam-6267	53	4	the	the	DET
ejpam-6267	53	5	fundamental	fundamental	ADJ
ejpam-6267	53	6	concepts	concept	NOUN
ejpam-6267	53	7	of	of	ADP
ejpam-6267	53	8	fractional	fractional	ADJ
ejpam-6267	53	9	calculus	calculus	NOUN
ejpam-6267	53	10	and	and	CCONJ
ejpam-6267	53	11	the	the	DET
ejpam-6267	53	12	essential	essential	ADJ
ejpam-6267	53	13	properties	property	NOUN
ejpam-6267	53	14	of	of	ADP
ejpam-6267	53	15	the	the	DET
ejpam-6267	53	16	proposed	propose	VERB
ejpam-6267	53	17	general	general	ADJ
ejpam-6267	53	18	integral	integral	ADJ
ejpam-6267	53	19	transform	transform	NOUN
ejpam-6267	53	20	(	(	PUNCT
ejpam-6267	53	21	tn	tn	NOUN
ejpam-6267	53	22	g	g	NOUN
ejpam-6267	53	23	)	)	PUNCT
ejpam-6267	53	24	.	.	PUNCT
ejpam-6267	54	1	section	section	NOUN
ejpam-6267	54	2	3	3	NUM
ejpam-6267	54	3	presents	present	VERB
ejpam-6267	54	4	the	the	DET
ejpam-6267	54	5	main	main	ADJ
ejpam-6267	54	6	theoretical	theoretical	ADJ
ejpam-6267	54	7	results	result	NOUN
ejpam-6267	54	8	of	of	ADP
ejpam-6267	54	9	the	the	DET
ejpam-6267	54	10	tn	tn	NOUN
ejpam-6267	54	11	g	g	PROPN
ejpam-6267	54	12	transform	transform	NOUN
ejpam-6267	54	13	,	,	PUNCT
ejpam-6267	54	14	including	include	VERB
ejpam-6267	54	15	explicit	explicit	ADJ
ejpam-6267	54	16	formulations	formulation	NOUN
ejpam-6267	54	17	for	for	ADP
ejpam-6267	54	18	the	the	DET
ejpam-6267	54	19	caputo	caputo	PROPN
ejpam-6267	54	20	fractional	fractional	PROPN
ejpam-6267	54	21	derivative	derivative	PROPN
ejpam-6267	54	22	(	(	PUNCT
ejpam-6267	54	23	cfd	cfd	NOUN
ejpam-6267	54	24	)	)	PUNCT
ejpam-6267	54	25	,	,	PUNCT
ejpam-6267	54	26	the	the	DET
ejpam-6267	54	27	riemannliouville	riemannliouville	NOUN
ejpam-6267	54	28	fractional	fractional	ADJ
ejpam-6267	54	29	derivative	derivative	NOUN
ejpam-6267	54	30	(	(	PUNCT
ejpam-6267	54	31	rlfd	rlfd	ADJ
ejpam-6267	54	32	)	)	PUNCT
ejpam-6267	54	33	,	,	PUNCT
ejpam-6267	54	34	and	and	CCONJ
ejpam-6267	54	35	the	the	DET
ejpam-6267	54	36	rl	rl	PROPN
ejpam-6267	54	37	fractional	fractional	ADJ
ejpam-6267	54	38	integral	integral	ADJ
ejpam-6267	54	39	(	(	PUNCT
ejpam-6267	54	40	rlfi	rlfi	NOUN
ejpam-6267	54	41	)	)	PUNCT
ejpam-6267	54	42	,	,	PUNCT
ejpam-6267	54	43	along	along	ADP
ejpam-6267	54	44	with	with	ADP
ejpam-6267	54	45	its	its	PRON
ejpam-6267	54	46	key	key	ADJ
ejpam-6267	54	47	operational	operational	ADJ
ejpam-6267	54	48	properties	property	NOUN
ejpam-6267	54	49	.	.	PUNCT
ejpam-6267	55	1	section	section	NOUN
ejpam-6267	55	2	4	4	NUM
ejpam-6267	55	3	addresses	address	NOUN
ejpam-6267	55	4	the	the	DET
ejpam-6267	55	5	mathematical	mathematical	ADJ
ejpam-6267	55	6	modelling	modelling	NOUN
ejpam-6267	55	7	of	of	ADP
ejpam-6267	55	8	the	the	DET
ejpam-6267	55	9	fractional	fractional	ADJ
ejpam-6267	55	10	smoking	smoking	NOUN
ejpam-6267	55	11	epidemic	epidemic	NOUN
ejpam-6267	55	12	model	model	NOUN
ejpam-6267	55	13	and	and	CCONJ
ejpam-6267	55	14	highlights	highlight	NOUN
ejpam-6267	55	15	its	its	PRON
ejpam-6267	55	16	principal	principal	ADJ
ejpam-6267	55	17	analytical	analytical	ADJ
ejpam-6267	55	18	properties	property	NOUN
ejpam-6267	55	19	.	.	PUNCT
ejpam-6267	56	1	sections	section	NOUN
ejpam-6267	56	2	5	5	NUM
ejpam-6267	56	3	and	and	CCONJ
ejpam-6267	56	4	6	6	NUM
ejpam-6267	56	5	present	present	ADJ
ejpam-6267	56	6	a	a	DET
ejpam-6267	56	7	hybrid	hybrid	ADJ
ejpam-6267	56	8	tn	tn	PROPN
ejpam-6267	56	9	g	g	PROPN
ejpam-6267	56	10	-	-	PUNCT
ejpam-6267	56	11	adm	adm	NOUN
ejpam-6267	56	12	method	method	NOUN
ejpam-6267	56	13	for	for	ADP
ejpam-6267	56	14	solving	solve	VERB
ejpam-6267	56	15	the	the	DET
ejpam-6267	56	16	fractional	fractional	ADJ
ejpam-6267	56	17	model	model	NOUN
ejpam-6267	56	18	,	,	PUNCT
ejpam-6267	56	19	further	far	ADV
ejpam-6267	56	20	enhanced	enhance	VERB
ejpam-6267	56	21	by	by	ADP
ejpam-6267	56	22	integration	integration	NOUN
ejpam-6267	56	23	with	with	ADP
ejpam-6267	56	24	an	an	DET
ejpam-6267	56	25	ann	ann	PROPN
ejpam-6267	56	26	to	to	PART
ejpam-6267	56	27	improve	improve	VERB
ejpam-6267	56	28	accuracy	accuracy	NOUN
ejpam-6267	56	29	and	and	CCONJ
ejpam-6267	56	30	robustness	robustness	NOUN
ejpam-6267	56	31	.	.	PUNCT
ejpam-6267	57	1	finally	finally	ADV
ejpam-6267	57	2	,	,	PUNCT
ejpam-6267	57	3	the	the	DET
ejpam-6267	57	4	study	study	NOUN
ejpam-6267	57	5	highlights	highlight	VERB
ejpam-6267	57	6	the	the	DET
ejpam-6267	57	7	method	method	NOUN
ejpam-6267	57	8	’s	’s	PART
ejpam-6267	57	9	advantages	advantage	NOUN
ejpam-6267	57	10	and	and	CCONJ
ejpam-6267	57	11	outlines	outline	VERB
ejpam-6267	57	12	directions	direction	NOUN
ejpam-6267	57	13	for	for	ADP
ejpam-6267	57	14	future	future	ADJ
ejpam-6267	57	15	work	work	NOUN
ejpam-6267	57	16	.	.	PUNCT
ejpam-6267	58	1	2	2	X
ejpam-6267	58	2	.	.	X
ejpam-6267	58	3	preliminary	preliminary	ADJ
ejpam-6267	58	4	this	this	DET
ejpam-6267	58	5	first	first	ADJ
ejpam-6267	58	6	section	section	NOUN
ejpam-6267	58	7	presents	present	VERB
ejpam-6267	58	8	fundamental	fundamental	ADJ
ejpam-6267	58	9	definitions	definition	NOUN
ejpam-6267	58	10	in	in	ADP
ejpam-6267	58	11	fractional	fractional	ADJ
ejpam-6267	58	12	calculus	calculus	NOUN
ejpam-6267	58	13	and	and	CCONJ
ejpam-6267	58	14	highlights	highlight	NOUN
ejpam-6267	58	15	key	key	ADJ
ejpam-6267	58	16	properties	property	NOUN
ejpam-6267	58	17	of	of	ADP
ejpam-6267	58	18	the	the	DET
ejpam-6267	58	19	junaid	junaid	PROPN
ejpam-6267	58	20	transform	transform	PROPN
ejpam-6267	58	21	,	,	PUNCT
ejpam-6267	58	22	which	which	PRON
ejpam-6267	58	23	will	will	AUX
ejpam-6267	58	24	serve	serve	VERB
ejpam-6267	58	25	as	as	ADP
ejpam-6267	58	26	the	the	DET
ejpam-6267	58	27	basis	basis	NOUN
ejpam-6267	58	28	for	for	ADP
ejpam-6267	58	29	the	the	DET
ejpam-6267	58	30	analyses	analysis	NOUN
ejpam-6267	58	31	that	that	PRON
ejpam-6267	58	32	follow	follow	VERB
ejpam-6267	58	33	.	.	PUNCT
ejpam-6267	59	1	definition	definition	NOUN
ejpam-6267	59	2	1	1	NUM
ejpam-6267	59	3	.	.	PUNCT
ejpam-6267	60	1	for	for	ADP
ejpam-6267	60	2	a	a	DET
ejpam-6267	60	3	given	give	VERB
ejpam-6267	60	4	function	function	NOUN
ejpam-6267	60	5	v(t	v(t	NOUN
ejpam-6267	60	6	)	)	PUNCT
ejpam-6267	60	7	,	,	PUNCT
ejpam-6267	60	8	the	the	DET
ejpam-6267	60	9	rlfi	rlfi	NOUN
ejpam-6267	60	10	of	of	ADP
ejpam-6267	60	11	order	order	NOUN
ejpam-6267	60	12	α	α	X
ejpam-6267	60	13	>	>	X
ejpam-6267	60	14	0	0	NUM
ejpam-6267	60	15	,	,	PUNCT
ejpam-6267	60	16	is	be	AUX
ejpam-6267	60	17	defined	define	VERB
ejpam-6267	60	18	as	as	ADP
ejpam-6267	60	19	[	[	X
ejpam-6267	60	20	26	26	NUM
ejpam-6267	60	21	]	]	X
ejpam-6267	60	22	:	:	PUNCT
ejpam-6267	60	23	rliα	rliα	PROPN
ejpam-6267	60	24	0,t	0,t	PROPN
ejpam-6267	60	25	v(t	v(t	PROPN
ejpam-6267	60	26	)	)	PUNCT
ejpam-6267	60	27	=	=	SYM
ejpam-6267	60	28	1	1	NUM
ejpam-6267	60	29	γ(α	γ(α	NOUN
ejpam-6267	60	30	)	)	PUNCT
ejpam-6267	61	1	∫	∫	PROPN
ejpam-6267	61	2	t	t	PROPN
ejpam-6267	61	3	0	0	NUM
ejpam-6267	61	4	v(τ	v(τ	PROPN
ejpam-6267	61	5	)	)	PUNCT
ejpam-6267	61	6	(	(	PUNCT
ejpam-6267	61	7	t−	t−	X
ejpam-6267	61	8	τ)1−α	τ)1−α	ADJ
ejpam-6267	61	9	dτ	dτ	NOUN
ejpam-6267	61	10	=	=	SYM
ejpam-6267	61	11	1	1	NUM
ejpam-6267	61	12	γ(α	γ(α	NOUN
ejpam-6267	61	13	)	)	PUNCT
ejpam-6267	61	14	tα−1	tα−1	NOUN
ejpam-6267	61	15	?	?	PUNCT
ejpam-6267	62	1	v(t	v(t	NUM
ejpam-6267	62	2	)	)	PUNCT
ejpam-6267	62	3	,	,	PUNCT
ejpam-6267	62	4	t	t	PROPN
ejpam-6267	62	5	>	>	X
ejpam-6267	62	6	0	0	NUM
ejpam-6267	62	7	.	.	PUNCT
ejpam-6267	63	1	(	(	PUNCT
ejpam-6267	63	2	1	1	X
ejpam-6267	63	3	)	)	PUNCT
ejpam-6267	63	4	r.	r.	NOUN
ejpam-6267	63	5	belgacem	belgacem	NOUN
ejpam-6267	63	6	et	et	PROPN
ejpam-6267	63	7	al	al	PROPN
ejpam-6267	63	8	.	.	PUNCT
ejpam-6267	63	9	/	/	SYM
ejpam-6267	63	10	eur	eur	PROPN
ejpam-6267	63	11	.	.	PUNCT
ejpam-6267	64	1	j.	j.	PROPN
ejpam-6267	64	2	pure	pure	PROPN
ejpam-6267	64	3	appl	appl	PROPN
ejpam-6267	64	4	.	.	PROPN
ejpam-6267	64	5	math	math	PROPN
ejpam-6267	64	6	,	,	PUNCT
ejpam-6267	64	7	18	18	NUM
ejpam-6267	64	8	(	(	PUNCT
ejpam-6267	64	9	4	4	NUM
ejpam-6267	64	10	)	)	PUNCT
ejpam-6267	64	11	(	(	PUNCT
ejpam-6267	64	12	2025	2025	NUM
ejpam-6267	64	13	)	)	PUNCT
ejpam-6267	64	14	,	,	PUNCT
ejpam-6267	64	15	6267	6267	NUM
ejpam-6267	64	16	4	4	NUM
ejpam-6267	64	17	of	of	ADP
ejpam-6267	64	18	26	26	NUM
ejpam-6267	64	19	the	the	DET
ejpam-6267	64	20	rlfd	rlfd	NOUN
ejpam-6267	64	21	of	of	ADP
ejpam-6267	64	22	order	order	NOUN
ejpam-6267	64	23	α	α	X
ejpam-6267	64	24	>	>	X
ejpam-6267	64	25	0	0	NUM
ejpam-6267	64	26	,	,	PUNCT
ejpam-6267	64	27	is	be	AUX
ejpam-6267	64	28	given	give	VERB
ejpam-6267	64	29	by	by	ADP
ejpam-6267	64	30	:	:	PUNCT
ejpam-6267	64	31	rldα	rldα	ADJ
ejpam-6267	64	32	0,t	0,t	PROPN
ejpam-6267	64	33	v(t	v(t	NOUN
ejpam-6267	64	34	)	)	PUNCT
ejpam-6267	64	35	=	=	PUNCT
ejpam-6267	65	1	dm	dm	PRON
ejpam-6267	65	2	dtm	dtm	PROPN
ejpam-6267	65	3	(	(	PUNCT
ejpam-6267	65	4	rlim−α	rlim−α	NUM
ejpam-6267	65	5	0,t	0,t	PROPN
ejpam-6267	65	6	v(t	v(t	NOUN
ejpam-6267	65	7	)	)	PUNCT
ejpam-6267	65	8	)	)	PUNCT
ejpam-6267	66	1	=	=	PUNCT
ejpam-6267	66	2	dm	dm	X
ejpam-6267	67	1	dtm	dtm	PROPN
ejpam-6267	68	1	∫	∫	PROPN
ejpam-6267	68	2	t	t	PROPN
ejpam-6267	68	3	0	0	NUM
ejpam-6267	68	4	v(x	v(x	PROPN
ejpam-6267	68	5	)	)	PUNCT
ejpam-6267	68	6	γ(m−α)(t−x)m−α−1	γ(m−α)(t−x)m−α−1	PROPN
ejpam-6267	68	7	dx	dx	PROPN
ejpam-6267	68	8	,	,	PUNCT
ejpam-6267	68	9	(	(	PUNCT
ejpam-6267	68	10	2	2	X
ejpam-6267	68	11	)	)	PUNCT
ejpam-6267	68	12	where	where	SCONJ
ejpam-6267	68	13	m−1	m−1	PROPN
ejpam-6267	68	14	<	<	X
ejpam-6267	68	15	α	α	X
ejpam-6267	68	16	≤	≤	PUNCT
ejpam-6267	68	17	m	m	PROPN
ejpam-6267	68	18	,	,	PUNCT
ejpam-6267	68	19	m	m	PROPN
ejpam-6267	68	20	∈	∈	PROPN
ejpam-6267	68	21	n	n	CCONJ
ejpam-6267	68	22	,	,	PUNCT
ejpam-6267	68	23	and	and	CCONJ
ejpam-6267	68	24	γ	γ	X
ejpam-6267	68	25	(	(	PUNCT
ejpam-6267	68	26	.	.	PUNCT
ejpam-6267	68	27	)	)	PUNCT
ejpam-6267	68	28	denotes	denote	VERB
ejpam-6267	68	29	the	the	DET
ejpam-6267	68	30	gamma	gamma	PROPN
ejpam-6267	68	31	function	function	NOUN
ejpam-6267	68	32	.	.	PUNCT
ejpam-6267	69	1	definition	definition	NOUN
ejpam-6267	69	2	2	2	NUM
ejpam-6267	69	3	.	.	PUNCT
ejpam-6267	69	4	for	for	ADP
ejpam-6267	69	5	a	a	DET
ejpam-6267	69	6	given	give	VERB
ejpam-6267	69	7	function	function	NOUN
ejpam-6267	69	8	v(t	v(t	PROPN
ejpam-6267	69	9	)	)	PUNCT
ejpam-6267	69	10	,	,	PUNCT
ejpam-6267	69	11	the	the	DET
ejpam-6267	69	12	cfd	cfd	NOUN
ejpam-6267	69	13	of	of	ADP
ejpam-6267	69	14	order	order	NOUN
ejpam-6267	70	1	α	α	PROPN
ejpam-6267	70	2	>	>	X
ejpam-6267	70	3	0	0	NUM
ejpam-6267	70	4	,	,	PUNCT
ejpam-6267	70	5	is	be	AUX
ejpam-6267	70	6	described	describe	VERB
ejpam-6267	70	7	as	as	ADP
ejpam-6267	70	8	:	:	PUNCT
ejpam-6267	70	9	[	[	X
ejpam-6267	70	10	27	27	NUM
ejpam-6267	70	11	]	]	X
ejpam-6267	70	12	:	:	PUNCT
ejpam-6267	70	13	cdα	cdα	NOUN
ejpam-6267	70	14	0,tv	0,tv	PROPN
ejpam-6267	70	15	(	(	PUNCT
ejpam-6267	70	16	t	t	PROPN
ejpam-6267	70	17	)	)	PUNCT
ejpam-6267	70	18	=	=	SYM
ejpam-6267	70	19	1	1	NUM
ejpam-6267	70	20	γ(m−α	γ(m−α	NOUN
ejpam-6267	70	21	)	)	PUNCT
ejpam-6267	70	22	∫	∫	PROPN
ejpam-6267	70	23	t	t	PROPN
ejpam-6267	70	24	a	a	DET
ejpam-6267	70	25	v(m	v(m	NOUN
ejpam-6267	70	26	)	)	PUNCT
ejpam-6267	70	27	(	(	PUNCT
ejpam-6267	71	1	τ)dτ	τ)dτ	PROPN
ejpam-6267	71	2	(	(	PUNCT
ejpam-6267	71	3	t−	t−	PROPN
ejpam-6267	71	4	τ)1−m+α	τ)1−m+α	PROPN
ejpam-6267	71	5	,	,	PUNCT
ejpam-6267	71	6	0	0	PUNCT
ejpam-6267	71	7	<	<	X
ejpam-6267	71	8	m−1	m−1	PROPN
ejpam-6267	71	9	<	<	X
ejpam-6267	71	10	α	α	X
ejpam-6267	71	11	<	<	X
ejpam-6267	71	12	m	m	PROPN
ejpam-6267	71	13	,	,	PUNCT
ejpam-6267	71	14	m	m	VERB
ejpam-6267	71	15	∈	∈	PROPN
ejpam-6267	71	16	n	n	CCONJ
ejpam-6267	71	17	,	,	PUNCT
ejpam-6267	71	18	(	(	PUNCT
ejpam-6267	71	19	3	3	X
ejpam-6267	71	20	)	)	PUNCT
ejpam-6267	71	21	=	=	SYM
ejpam-6267	72	1	dm	dm	NUM
ejpam-6267	72	2	tm	tm	PRON
ejpam-6267	72	3	v	v	PROPN
ejpam-6267	72	4	(	(	PUNCT
ejpam-6267	72	5	t	t	PROPN
ejpam-6267	72	6	)	)	PUNCT
ejpam-6267	72	7	,	,	PUNCT
ejpam-6267	72	8	α	α	PROPN
ejpam-6267	72	9	=	=	SYM
ejpam-6267	72	10	m.	m.	NOUN
ejpam-6267	72	11	lemma	lemma	PROPN
ejpam-6267	72	12	1	1	X
ejpam-6267	72	13	.	.	PUNCT
ejpam-6267	73	1	if	if	SCONJ
ejpam-6267	73	2	v	v	NUM
ejpam-6267	73	3	∈	∈	PROPN
ejpam-6267	73	4	acm	acm	NOUN
ejpam-6267	73	5	[	[	X
ejpam-6267	73	6	a	a	DET
ejpam-6267	73	7	,	,	PUNCT
ejpam-6267	73	8	b	b	NOUN
ejpam-6267	73	9	]	]	X
ejpam-6267	73	10	or	or	CCONJ
ejpam-6267	73	11	v	v	NOUN
ejpam-6267	73	12	(	(	PUNCT
ejpam-6267	73	13	t	t	NOUN
ejpam-6267	73	14	)	)	PUNCT
ejpam-6267	73	15	∈	∈	PROPN
ejpam-6267	73	16	cm	cm	X
ejpam-6267	74	1	[	[	X
ejpam-6267	74	2	a	a	X
ejpam-6267	74	3	,	,	PUNCT
ejpam-6267	74	4	b	b	NOUN
ejpam-6267	74	5	]	]	X
ejpam-6267	74	6	,	,	PUNCT
ejpam-6267	74	7	then	then	ADV
ejpam-6267	74	8	[	[	X
ejpam-6267	74	9	26	26	NUM
ejpam-6267	74	10	]	]	X
ejpam-6267	74	11	:	:	PUNCT
ejpam-6267	74	12	(	(	PUNCT
ejpam-6267	74	13	rliα	rliα	NOUN
ejpam-6267	74	14	0,t	0,t	PROPN
ejpam-6267	74	15	cdα	cdα	PROPN
ejpam-6267	74	16	0,t	0,t	PROPN
ejpam-6267	74	17	)	)	PUNCT
ejpam-6267	75	1	v	v	PROPN
ejpam-6267	75	2	(	(	PUNCT
ejpam-6267	75	3	t	t	NOUN
ejpam-6267	75	4	)	)	PUNCT
ejpam-6267	75	5	=	=	NOUN
ejpam-6267	75	6	v	v	X
ejpam-6267	75	7	(	(	PUNCT
ejpam-6267	75	8	t)−	t)−	PROPN
ejpam-6267	75	9	m−1∑	m−1∑	PRON
ejpam-6267	75	10	k=0	k=0	PROPN
ejpam-6267	75	11	v(k	v(k	PROPN
ejpam-6267	75	12	)	)	PUNCT
ejpam-6267	75	13	(	(	PUNCT
ejpam-6267	75	14	0	0	NUM
ejpam-6267	75	15	)	)	PUNCT
ejpam-6267	75	16	k	k	NOUN
ejpam-6267	75	17	!	!	PROPN
ejpam-6267	75	18	tk	tk	PROPN
ejpam-6267	75	19	,	,	PUNCT
ejpam-6267	75	20	(	(	PUNCT
ejpam-6267	75	21	4	4	X
ejpam-6267	75	22	)	)	PUNCT
ejpam-6267	75	23	where	where	SCONJ
ejpam-6267	75	24	m	m	VERB
ejpam-6267	75	25	=	=	PUNCT
ejpam-6267	76	1	[	[	X
ejpam-6267	76	2	α]+1	α]+1	PROPN
ejpam-6267	76	3	and	and	CCONJ
ejpam-6267	76	4	[	[	X
ejpam-6267	76	5	α	α	X
ejpam-6267	76	6	]	]	X
ejpam-6267	76	7	represents	represent	VERB
ejpam-6267	76	8	the	the	DET
ejpam-6267	76	9	integer	integer	NOUN
ejpam-6267	76	10	part	part	NOUN
ejpam-6267	76	11	of	of	ADP
ejpam-6267	76	12	arbitrary	arbitrary	ADJ
ejpam-6267	76	13	α	α	NOUN
ejpam-6267	76	14	>	>	X
ejpam-6267	76	15	0	0	NUM
ejpam-6267	76	16	.	.	PUNCT
ejpam-6267	77	1	the	the	DET
ejpam-6267	77	2	junaid	junaid	ADJ
ejpam-6267	77	3	integral	integral	ADJ
ejpam-6267	77	4	transform	transform	NOUN
ejpam-6267	77	5	of	of	ADP
ejpam-6267	77	6	the	the	DET
ejpam-6267	77	7	integrable	integrable	ADJ
ejpam-6267	77	8	function	function	NOUN
ejpam-6267	77	9	v	v	ADP
ejpam-6267	77	10	(	(	PUNCT
ejpam-6267	77	11	t	t	PROPN
ejpam-6267	77	12	)	)	PUNCT
ejpam-6267	77	13	was	be	AUX
ejpam-6267	77	14	recently	recently	ADV
ejpam-6267	77	15	introduced	introduce	VERB
ejpam-6267	77	16	by	by	ADP
ejpam-6267	77	17	junaid	junaid	VERB
ejpam-6267	78	1	[	[	X
ejpam-6267	78	2	23	23	NUM
ejpam-6267	78	3	]	]	PUNCT
ejpam-6267	78	4	in	in	ADP
ejpam-6267	78	5	2023	2023	NUM
ejpam-6267	78	6	,	,	PUNCT
ejpam-6267	78	7	by	by	ADP
ejpam-6267	78	8	tn	tn	NOUN
ejpam-6267	78	9	g	g	PROPN
ejpam-6267	78	10	[	[	X
ejpam-6267	78	11	v	v	X
ejpam-6267	78	12	(	(	PUNCT
ejpam-6267	78	13	t	t	PROPN
ejpam-6267	78	14	)	)	PUNCT
ejpam-6267	78	15	]	]	PUNCT
ejpam-6267	78	16	=	=	PUNCT
ejpam-6267	78	17	m(s	m(s	PROPN
ejpam-6267	78	18	)	)	PUNCT
ejpam-6267	78	19	∫	∫	PROPN
ejpam-6267	79	1	∞	∞	PROPN
ejpam-6267	79	2	0	0	PROPN
ejpam-6267	79	3	v	v	NOUN
ejpam-6267	79	4	(	(	PUNCT
ejpam-6267	79	5	k	k	X
ejpam-6267	79	6	(	(	PUNCT
ejpam-6267	79	7	s	s	NOUN
ejpam-6267	79	8	)	)	PUNCT
ejpam-6267	79	9	t)exp−b(s)t	t)exp−b(s)t	NOUN
ejpam-6267	79	10	dt	dt	PROPN
ejpam-6267	79	11	,	,	PUNCT
ejpam-6267	79	12	(	(	PUNCT
ejpam-6267	79	13	5	5	NUM
ejpam-6267	79	14	)	)	PUNCT
ejpam-6267	79	15	where	where	SCONJ
ejpam-6267	79	16	m(s	m(s	NOUN
ejpam-6267	79	17	)	)	PUNCT
ejpam-6267	79	18	,	,	PUNCT
ejpam-6267	79	19	b	b	X
ejpam-6267	79	20	(	(	PUNCT
ejpam-6267	79	21	s	s	NOUN
ejpam-6267	79	22	)	)	PUNCT
ejpam-6267	79	23	and	and	CCONJ
ejpam-6267	79	24	k	k	PROPN
ejpam-6267	79	25	(	(	PUNCT
ejpam-6267	79	26	s	s	X
ejpam-6267	79	27	)	)	PUNCT
ejpam-6267	79	28	are	be	AUX
ejpam-6267	79	29	positive	positive	ADJ
ejpam-6267	79	30	real	real	ADJ
ejpam-6267	79	31	functions	function	NOUN
ejpam-6267	79	32	and	and	CCONJ
ejpam-6267	79	33	t	t	X
ejpam-6267	79	34	≥	≥	NOUN
ejpam-6267	79	35	0	0	NUM
ejpam-6267	79	36	such	such	ADJ
ejpam-6267	79	37	that	that	DET
ejpam-6267	79	38	m(s	m(s	PROPN
ejpam-6267	79	39	)	)	PUNCT
ejpam-6267	79	40	6=	6=	ADP
ejpam-6267	79	41	0	0	X
ejpam-6267	79	42	.	.	PUNCT
ejpam-6267	80	1	this	this	DET
ejpam-6267	80	2	tn	tn	NOUN
ejpam-6267	80	3	g	g	NOUN
ejpam-6267	80	4	transform	transform	NOUN
ejpam-6267	80	5	can	can	AUX
ejpam-6267	80	6	be	be	AUX
ejpam-6267	80	7	easily	easily	ADV
ejpam-6267	80	8	implemented	implement	VERB
ejpam-6267	80	9	directly	directly	ADV
ejpam-6267	80	10	to	to	ADP
ejpam-6267	80	11	an	an	DET
ejpam-6267	80	12	appropriate	appropriate	ADJ
ejpam-6267	80	13	problem	problem	NOUN
ejpam-6267	80	14	by	by	ADP
ejpam-6267	80	15	specifically	specifically	ADV
ejpam-6267	80	16	selecting	select	VERB
ejpam-6267	80	17	m(s	m(s	PROPN
ejpam-6267	80	18	)	)	PUNCT
ejpam-6267	80	19	,	,	PUNCT
ejpam-6267	80	20	b	b	X
ejpam-6267	80	21	(	(	PUNCT
ejpam-6267	80	22	s	s	NOUN
ejpam-6267	80	23	)	)	PUNCT
ejpam-6267	80	24	and	and	CCONJ
ejpam-6267	80	25	k	k	PROPN
ejpam-6267	80	26	(	(	PUNCT
ejpam-6267	80	27	s	s	NOUN
ejpam-6267	80	28	)	)	PUNCT
ejpam-6267	80	29	.	.	PUNCT
ejpam-6267	81	1	in	in	ADP
ejpam-6267	81	2	table	table	NOUN
ejpam-6267	81	3	1	1	NUM
ejpam-6267	81	4	,	,	PUNCT
ejpam-6267	81	5	we	we	PRON
ejpam-6267	81	6	mention	mention	VERB
ejpam-6267	81	7	the	the	DET
ejpam-6267	81	8	tn	tn	NOUN
ejpam-6267	81	9	g	g	PROPN
ejpam-6267	81	10	transform	transform	NOUN
ejpam-6267	81	11	of	of	ADP
ejpam-6267	81	12	some	some	DET
ejpam-6267	81	13	basic	basic	ADJ
ejpam-6267	81	14	function	function	NOUN
ejpam-6267	81	15	.	.	PUNCT
ejpam-6267	82	1	v(t	v(t	NUM
ejpam-6267	82	2	)	)	PUNCT
ejpam-6267	82	3	tn	tn	NOUN
ejpam-6267	82	4	g	g	PROPN
ejpam-6267	83	1	[	[	X
ejpam-6267	83	2	v(t	v(t	NUM
ejpam-6267	83	3	)	)	PUNCT
ejpam-6267	83	4	]	]	PUNCT
ejpam-6267	84	1	c	c	PROPN
ejpam-6267	84	2	c	c	PROPN
ejpam-6267	84	3	m(s	m(s	PROPN
ejpam-6267	84	4	)	)	PUNCT
ejpam-6267	84	5	b(s	b(	NOUN
ejpam-6267	84	6	)	)	PUNCT
ejpam-6267	84	7	,	,	PUNCT
ejpam-6267	84	8	c	c	PROPN
ejpam-6267	84	9	∈	∈	PROPN
ejpam-6267	84	10	r	r	NOUN
ejpam-6267	84	11	t	t	NOUN
ejpam-6267	84	12	m(s)k	m(s)k	PROPN
ejpam-6267	84	13	(	(	PUNCT
ejpam-6267	84	14	s	s	NOUN
ejpam-6267	84	15	)	)	PUNCT
ejpam-6267	84	16	b2(s	b2(s	NOUN
ejpam-6267	84	17	)	)	PUNCT
ejpam-6267	84	18	tn	tn	PROPN
ejpam-6267	84	19	n!m(s)rn(s	n!m(s)rn(s	PROPN
ejpam-6267	84	20	)	)	PUNCT
ejpam-6267	84	21	bn+1(s	bn+1(s	PROPN
ejpam-6267	84	22	)	)	PUNCT
ejpam-6267	84	23	sin	sin	NOUN
ejpam-6267	84	24	t	t	PROPN
ejpam-6267	84	25	m(s)k	m(s)k	PROPN
ejpam-6267	84	26	(	(	PUNCT
ejpam-6267	84	27	s	s	NOUN
ejpam-6267	84	28	)	)	PUNCT
ejpam-6267	84	29	b2(s)+	b2(s)+	PROPN
ejpam-6267	84	30	r2(s	r2(s	NOUN
ejpam-6267	84	31	)	)	PUNCT
ejpam-6267	84	32	et	et	NOUN
ejpam-6267	84	33	m(s	m(s	PROPN
ejpam-6267	84	34	)	)	PUNCT
ejpam-6267	84	35	b(s)−k	b(s)−k	PROPN
ejpam-6267	84	36	(	(	PUNCT
ejpam-6267	84	37	s	s	NOUN
ejpam-6267	84	38	)	)	PUNCT
ejpam-6267	84	39	table	table	NOUN
ejpam-6267	84	40	1	1	NUM
ejpam-6267	84	41	:	:	PUNCT
ejpam-6267	84	42	tn	tn	PROPN
ejpam-6267	84	43	g	g	PROPN
ejpam-6267	84	44	transform	transform	NOUN
ejpam-6267	84	45	for	for	ADP
ejpam-6267	84	46	some	some	DET
ejpam-6267	84	47	basic	basic	ADJ
ejpam-6267	84	48	functions	function	NOUN
ejpam-6267	84	49	.	.	PUNCT
ejpam-6267	85	1	r.	r.	PROPN
ejpam-6267	85	2	belgacem	belgacem	PROPN
ejpam-6267	85	3	et	et	PROPN
ejpam-6267	85	4	al	al	PROPN
ejpam-6267	85	5	.	.	PUNCT
ejpam-6267	85	6	/	/	SYM
ejpam-6267	85	7	eur	eur	PROPN
ejpam-6267	85	8	.	.	PUNCT
ejpam-6267	86	1	j.	j.	PROPN
ejpam-6267	86	2	pure	pure	PROPN
ejpam-6267	86	3	appl	appl	PROPN
ejpam-6267	86	4	.	.	PROPN
ejpam-6267	86	5	math	math	PROPN
ejpam-6267	86	6	,	,	PUNCT
ejpam-6267	86	7	18	18	NUM
ejpam-6267	86	8	(	(	PUNCT
ejpam-6267	86	9	4	4	NUM
ejpam-6267	86	10	)	)	PUNCT
ejpam-6267	86	11	(	(	PUNCT
ejpam-6267	86	12	2025	2025	NUM
ejpam-6267	86	13	)	)	PUNCT
ejpam-6267	86	14	,	,	PUNCT
ejpam-6267	86	15	6267	6267	NUM
ejpam-6267	86	16	5	5	NUM
ejpam-6267	86	17	of	of	ADP
ejpam-6267	86	18	26	26	NUM
ejpam-6267	86	19	theorem	theorem	NOUN
ejpam-6267	86	20	1	1	NUM
ejpam-6267	86	21	.	.	PUNCT
ejpam-6267	87	1	the	the	DET
ejpam-6267	87	2	tn	tn	NOUN
ejpam-6267	87	3	g	g	PROPN
ejpam-6267	87	4	transform	transform	NOUN
ejpam-6267	87	5	of	of	ADP
ejpam-6267	87	6	nth	nth	NOUN
ejpam-6267	87	7	derivative	derivative	NOUN
ejpam-6267	87	8	v(n)(t	v(n)(t	NOUN
ejpam-6267	87	9	)	)	PUNCT
ejpam-6267	87	10	of	of	ADP
ejpam-6267	87	11	the	the	DET
ejpam-6267	87	12	function	function	NOUN
ejpam-6267	87	13	v(t	v(t	NOUN
ejpam-6267	87	14	)	)	PUNCT
ejpam-6267	87	15	,	,	PUNCT
ejpam-6267	87	16	is	be	AUX
ejpam-6267	87	17	expressed	express	VERB
ejpam-6267	87	18	as	as	ADP
ejpam-6267	87	19	[	[	X
ejpam-6267	87	20	23	23	NUM
ejpam-6267	87	21	]	]	X
ejpam-6267	87	22	:	:	PUNCT
ejpam-6267	87	23	tn	tn	PROPN
ejpam-6267	87	24	g	g	PROPN
ejpam-6267	87	25	[	[	PUNCT
ejpam-6267	87	26	v(n	v(n	NOUN
ejpam-6267	87	27	)	)	PUNCT
ejpam-6267	87	28	(	(	PUNCT
ejpam-6267	87	29	t	t	NOUN
ejpam-6267	87	30	)	)	PUNCT
ejpam-6267	87	31	]	]	PUNCT
ejpam-6267	88	1	=	=	PUNCT
ejpam-6267	88	2	(	(	PUNCT
ejpam-6267	88	3	b	b	X
ejpam-6267	88	4	(	(	PUNCT
ejpam-6267	88	5	s	s	NOUN
ejpam-6267	88	6	)	)	PUNCT
ejpam-6267	88	7	k	k	PROPN
ejpam-6267	88	8	(	(	PUNCT
ejpam-6267	88	9	s	s	NOUN
ejpam-6267	88	10	)	)	PUNCT
ejpam-6267	88	11	)	)	PUNCT
ejpam-6267	88	12	n	n	PRON
ejpam-6267	89	1	tn	tn	NOUN
ejpam-6267	89	2	g	g	PROPN
ejpam-6267	89	3	[	[	X
ejpam-6267	89	4	v	v	X
ejpam-6267	89	5	(	(	PUNCT
ejpam-6267	89	6	t)]−m(s	t)]−m(s	NOUN
ejpam-6267	89	7	)	)	PUNCT
ejpam-6267	89	8	n−1∑	n−1∑	PROPN
ejpam-6267	89	9	i=0	i=0	PROPN
ejpam-6267	89	10	bn−1−i	bn−1−i	X
ejpam-6267	89	11	(	(	PUNCT
ejpam-6267	89	12	s	s	NOUN
ejpam-6267	89	13	)	)	PUNCT
ejpam-6267	89	14	kn−i	kn−i	NOUN
ejpam-6267	89	15	(	(	PUNCT
ejpam-6267	89	16	s	s	NOUN
ejpam-6267	89	17	)	)	PUNCT
ejpam-6267	89	18	v(i	v(i	NUM
ejpam-6267	89	19	)	)	PUNCT
ejpam-6267	89	20	(	(	PUNCT
ejpam-6267	89	21	0	0	NUM
ejpam-6267	89	22	)	)	PUNCT
ejpam-6267	89	23	,	,	PUNCT
ejpam-6267	89	24	∀n	∀n	NUM
ejpam-6267	89	25	∈	∈	PROPN
ejpam-6267	89	26	n.	n.	NOUN
ejpam-6267	89	27	(	(	PUNCT
ejpam-6267	89	28	6	6	NUM
ejpam-6267	89	29	)	)	PUNCT
ejpam-6267	89	30	the	the	DET
ejpam-6267	89	31	next	next	ADJ
ejpam-6267	89	32	section	section	NOUN
ejpam-6267	89	33	presents	present	VERB
ejpam-6267	89	34	new	new	ADJ
ejpam-6267	89	35	results	result	NOUN
ejpam-6267	89	36	about	about	ADP
ejpam-6267	89	37	this	this	DET
ejpam-6267	89	38	generalization	generalization	NOUN
ejpam-6267	89	39	transform	transform	NOUN
ejpam-6267	89	40	,	,	PUNCT
ejpam-6267	89	41	as	as	ADP
ejpam-6267	89	42	a	a	DET
ejpam-6267	89	43	complement	complement	NOUN
ejpam-6267	89	44	to	to	ADP
ejpam-6267	89	45	the	the	DET
ejpam-6267	89	46	results	result	NOUN
ejpam-6267	89	47	presented	present	VERB
ejpam-6267	89	48	in	in	ADP
ejpam-6267	89	49	[	[	X
ejpam-6267	89	50	23	23	NUM
ejpam-6267	89	51	]	]	PUNCT
ejpam-6267	89	52	.	.	PUNCT
ejpam-6267	90	1	3	3	X
ejpam-6267	90	2	.	.	X
ejpam-6267	90	3	main	main	ADJ
ejpam-6267	90	4	results	result	NOUN
ejpam-6267	90	5	of	of	ADP
ejpam-6267	90	6	tn	tn	NOUN
ejpam-6267	90	7	g	g	NOUN
ejpam-6267	90	8	transform	transform	NOUN
ejpam-6267	90	9	property	property	NOUN
ejpam-6267	90	10	1	1	NUM
ejpam-6267	90	11	.	.	PUNCT
ejpam-6267	91	1	(	(	PUNCT
ejpam-6267	91	2	convolution	convolution	NOUN
ejpam-6267	91	3	)	)	PUNCT
ejpam-6267	91	4	let	let	VERB
ejpam-6267	91	5	tn	tn	PRON
ejpam-6267	91	6	g	g	PROPN
ejpam-6267	91	7	[	[	X
ejpam-6267	91	8	v1	v1	PROPN
ejpam-6267	91	9	(	(	PUNCT
ejpam-6267	91	10	t	t	NOUN
ejpam-6267	91	11	)	)	PUNCT
ejpam-6267	91	12	]	]	PUNCT
ejpam-6267	91	13	and	and	CCONJ
ejpam-6267	91	14	tn	tn	NOUN
ejpam-6267	91	15	g	g	PROPN
ejpam-6267	92	1	[	[	X
ejpam-6267	92	2	v2	v2	X
ejpam-6267	92	3	(	(	PUNCT
ejpam-6267	92	4	t	t	NOUN
ejpam-6267	92	5	)	)	PUNCT
ejpam-6267	92	6	]	]	PUNCT
ejpam-6267	92	7	are	be	AUX
ejpam-6267	92	8	tn	tn	PROPN
ejpam-6267	92	9	g	g	NOUN
ejpam-6267	92	10	transforms	transform	NOUN
ejpam-6267	92	11	of	of	ADP
ejpam-6267	92	12	v1(t	v1(t	PRON
ejpam-6267	92	13	)	)	PUNCT
ejpam-6267	92	14	and	and	CCONJ
ejpam-6267	92	15	v2(t	v2(t	NUM
ejpam-6267	92	16	)	)	PUNCT
ejpam-6267	92	17	,	,	PUNCT
ejpam-6267	92	18	respectively	respectively	ADV
ejpam-6267	92	19	.	.	PUNCT
ejpam-6267	93	1	then	then	ADV
ejpam-6267	93	2	:	:	PUNCT
ejpam-6267	93	3	tn	tn	PROPN
ejpam-6267	93	4	g	g	PROPN
ejpam-6267	94	1	[	[	X
ejpam-6267	94	2	v1	v1	NOUN
ejpam-6267	94	3	?	?	PUNCT
ejpam-6267	94	4	v2	v2	NOUN
ejpam-6267	94	5	]	]	X
ejpam-6267	95	1	=	=	SYM
ejpam-6267	95	2	∫	∫	PROPN
ejpam-6267	95	3	∞	∞	NUM
ejpam-6267	95	4	0	0	NUM
ejpam-6267	95	5	v1	v1	PROPN
ejpam-6267	95	6	(	(	PUNCT
ejpam-6267	95	7	t)v2	t)v2	NOUN
ejpam-6267	95	8	(	(	PUNCT
ejpam-6267	95	9	t−z)dz	t−z)dz	PROPN
ejpam-6267	95	10	=	=	SYM
ejpam-6267	95	11	k	k	PROPN
ejpam-6267	95	12	(	(	PUNCT
ejpam-6267	95	13	s	s	X
ejpam-6267	95	14	)	)	PUNCT
ejpam-6267	95	15	m(s)tn	m(s)tn	NOUN
ejpam-6267	95	16	g	g	PROPN
ejpam-6267	96	1	[	[	X
ejpam-6267	96	2	v1	v1	PROPN
ejpam-6267	96	3	(	(	PUNCT
ejpam-6267	96	4	t)]tn	t)]tn	NUM
ejpam-6267	96	5	g	g	NOUN
ejpam-6267	97	1	[	[	X
ejpam-6267	97	2	v2	v2	X
ejpam-6267	97	3	(	(	PUNCT
ejpam-6267	97	4	t	t	NOUN
ejpam-6267	97	5	)	)	PUNCT
ejpam-6267	97	6	]	]	PUNCT
ejpam-6267	97	7	.	.	PUNCT
ejpam-6267	98	1	(	(	PUNCT
ejpam-6267	98	2	7	7	X
ejpam-6267	98	3	)	)	PUNCT
ejpam-6267	98	4	proof	proof	NOUN
ejpam-6267	98	5	.	.	PUNCT
ejpam-6267	99	1	we	we	PRON
ejpam-6267	99	2	have	have	AUX
ejpam-6267	99	3	:	:	PUNCT
ejpam-6267	99	4	v1	v1	VERB
ejpam-6267	99	5	?	?	PUNCT
ejpam-6267	100	1	v2	v2	PROPN
ejpam-6267	100	2	=	=	SYM
ejpam-6267	100	3	∫	∫	PROPN
ejpam-6267	100	4	∞	∞	PROPN
ejpam-6267	100	5	0	0	NUM
ejpam-6267	100	6	v1	v1	PROPN
ejpam-6267	100	7	(	(	PUNCT
ejpam-6267	100	8	z)v2	z)v2	PROPN
ejpam-6267	100	9	(	(	PUNCT
ejpam-6267	100	10	t−z)dz	t−z)dz	PROPN
ejpam-6267	100	11	,	,	PUNCT
ejpam-6267	100	12	using	use	VERB
ejpam-6267	100	13	the	the	DET
ejpam-6267	100	14	tn	tn	NOUN
ejpam-6267	100	15	g	g	PROPN
ejpam-6267	100	16	transform	transform	NOUN
ejpam-6267	100	17	and	and	CCONJ
ejpam-6267	100	18	the	the	DET
ejpam-6267	100	19	leibniz	leibniz	NOUN
ejpam-6267	100	20	theorem	theorem	PROPN
ejpam-6267	100	21	,	,	PUNCT
ejpam-6267	100	22	we	we	PRON
ejpam-6267	100	23	get	get	VERB
ejpam-6267	100	24	:	:	PUNCT
ejpam-6267	100	25	tn	tn	PROPN
ejpam-6267	100	26	g	g	PROPN
ejpam-6267	101	1	[	[	X
ejpam-6267	101	2	v1	v1	NOUN
ejpam-6267	101	3	?	?	PUNCT
ejpam-6267	101	4	v2	v2	NOUN
ejpam-6267	101	5	]	]	X
ejpam-6267	101	6	=	=	SYM
ejpam-6267	102	1	tn	tn	PROPN
ejpam-6267	102	2	g	g	PROPN
ejpam-6267	102	3	[	[	X
ejpam-6267	102	4	∫	∫	PROPN
ejpam-6267	102	5	∞	∞	NUM
ejpam-6267	102	6	0	0	NUM
ejpam-6267	102	7	v1	v1	PROPN
ejpam-6267	102	8	(	(	PUNCT
ejpam-6267	102	9	z)v2	z)v2	PROPN
ejpam-6267	102	10	(	(	PUNCT
ejpam-6267	102	11	t−z)dz	t−z)dz	PROPN
ejpam-6267	102	12	]	]	PUNCT
ejpam-6267	102	13	,	,	PUNCT
ejpam-6267	102	14	=	=	SYM
ejpam-6267	102	15	m(s	m(s	PROPN
ejpam-6267	102	16	)	)	PUNCT
ejpam-6267	102	17	∫	∫	PROPN
ejpam-6267	102	18	∞	∞	NOUN
ejpam-6267	102	19	0	0	PUNCT
ejpam-6267	103	1	[	[	X
ejpam-6267	103	2	∫	∫	X
ejpam-6267	103	3	∞	∞	NUM
ejpam-6267	103	4	0	0	NUM
ejpam-6267	103	5	v1	v1	PROPN
ejpam-6267	103	6	(	(	PUNCT
ejpam-6267	103	7	k	k	X
ejpam-6267	103	8	(	(	PUNCT
ejpam-6267	103	9	s)z)v2	s)z)v2	PROPN
ejpam-6267	103	10	(	(	PUNCT
ejpam-6267	103	11	k	k	PROPN
ejpam-6267	103	12	(	(	PUNCT
ejpam-6267	103	13	s)(t−z))k	s)(t−z))k	PROPN
ejpam-6267	103	14	(	(	PUNCT
ejpam-6267	103	15	s)dz	s)dz	PROPN
ejpam-6267	103	16	]	]	PUNCT
ejpam-6267	103	17	exp−b(s)t	exp−b(s)t	NOUN
ejpam-6267	103	18	dt	dt	X
ejpam-6267	103	19	,	,	PUNCT
ejpam-6267	103	20	=	=	PUNCT
ejpam-6267	103	21	m(s)k	m(s)k	NOUN
ejpam-6267	103	22	(	(	PUNCT
ejpam-6267	103	23	s	s	X
ejpam-6267	103	24	)	)	PUNCT
ejpam-6267	103	25	∫	∫	PROPN
ejpam-6267	103	26	∞	∞	PROPN
ejpam-6267	103	27	0	0	NUM
ejpam-6267	103	28	v1	v1	PROPN
ejpam-6267	103	29	(	(	PUNCT
ejpam-6267	103	30	k	k	X
ejpam-6267	103	31	(	(	PUNCT
ejpam-6267	103	32	s)z	s)z	NOUN
ejpam-6267	103	33	)	)	PUNCT
ejpam-6267	104	1	[	[	X
ejpam-6267	104	2	∫	∫	X
ejpam-6267	104	3	∞	∞	NUM
ejpam-6267	104	4	0	0	PUNCT
ejpam-6267	105	1	v2	v2	PROPN
ejpam-6267	105	2	(	(	PUNCT
ejpam-6267	105	3	k	k	X
ejpam-6267	105	4	(	(	PUNCT
ejpam-6267	105	5	s)(t−z))exp−b(s)t	s)(t−z))exp−b(s)t	NOUN
ejpam-6267	105	6	dt	dt	X
ejpam-6267	105	7	]	]	X
ejpam-6267	105	8	dz	dz	PROPN
ejpam-6267	105	9	.	.	PUNCT
ejpam-6267	105	10	by	by	ADP
ejpam-6267	105	11	setting	set	VERB
ejpam-6267	105	12	τ	τ	PROPN
ejpam-6267	105	13	=	=	SYM
ejpam-6267	105	14	t−z	t−z	PROPN
ejpam-6267	105	15	,	,	PUNCT
ejpam-6267	105	16	we	we	PRON
ejpam-6267	105	17	get	get	VERB
ejpam-6267	105	18	:	:	PUNCT
ejpam-6267	105	19	tn	tn	PROPN
ejpam-6267	105	20	g	g	PROPN
ejpam-6267	106	1	[	[	X
ejpam-6267	106	2	v1	v1	NOUN
ejpam-6267	106	3	?	?	PUNCT
ejpam-6267	107	1	v2	v2	NOUN
ejpam-6267	107	2	]	]	X
ejpam-6267	107	3	=	=	PUNCT
ejpam-6267	107	4	m(s)k	m(s)k	NOUN
ejpam-6267	107	5	(	(	PUNCT
ejpam-6267	107	6	s	s	X
ejpam-6267	107	7	)	)	PUNCT
ejpam-6267	107	8	∫	∫	PROPN
ejpam-6267	108	1	∞	∞	PROPN
ejpam-6267	108	2	0	0	NUM
ejpam-6267	108	3	v1	v1	PROPN
ejpam-6267	108	4	(	(	PUNCT
ejpam-6267	108	5	k	k	X
ejpam-6267	108	6	(	(	PUNCT
ejpam-6267	108	7	s)z	s)z	NOUN
ejpam-6267	108	8	)	)	PUNCT
ejpam-6267	109	1	[	[	X
ejpam-6267	109	2	∫	∫	X
ejpam-6267	109	3	∞	∞	NUM
ejpam-6267	109	4	0	0	PUNCT
ejpam-6267	110	1	v2	v2	PROPN
ejpam-6267	110	2	(	(	PUNCT
ejpam-6267	110	3	τ)exp−b(s)(τ+z	τ)exp−b(s)(τ+z	NOUN
ejpam-6267	110	4	)	)	PUNCT
ejpam-6267	110	5	dτ	dτ	NOUN
ejpam-6267	110	6	]	]	PUNCT
ejpam-6267	110	7	dz	dz	X
ejpam-6267	110	8	,	,	PUNCT
ejpam-6267	110	9	=	=	SYM
ejpam-6267	110	10	k	k	X
ejpam-6267	110	11	(	(	PUNCT
ejpam-6267	110	12	s	s	NOUN
ejpam-6267	110	13	)	)	PUNCT
ejpam-6267	110	14	m(s	m(s	PROPN
ejpam-6267	110	15	)	)	PUNCT
ejpam-6267	110	16	[	[	PUNCT
ejpam-6267	110	17	m(s	m(s	PROPN
ejpam-6267	110	18	)	)	PUNCT
ejpam-6267	110	19	∫	∫	PROPN
ejpam-6267	111	1	∞	∞	PROPN
ejpam-6267	111	2	0	0	NUM
ejpam-6267	111	3	v1	v1	PROPN
ejpam-6267	111	4	(	(	PUNCT
ejpam-6267	111	5	k	k	X
ejpam-6267	111	6	(	(	PUNCT
ejpam-6267	111	7	s)z)exp−b(s)z	s)z)exp−b(s)z	PROPN
ejpam-6267	111	8	dz	dz	X
ejpam-6267	111	9	]	]	X
ejpam-6267	111	10	[	[	PUNCT
ejpam-6267	111	11	m(s	m(s	PROPN
ejpam-6267	111	12	)	)	PUNCT
ejpam-6267	111	13	∫	∫	PROPN
ejpam-6267	112	1	∞	∞	NUM
ejpam-6267	112	2	0	0	NUM
ejpam-6267	113	1	v2	v2	PROPN
ejpam-6267	113	2	(	(	PUNCT
ejpam-6267	113	3	τ)exp−b(s)τ	τ)exp−b(s)τ	PROPN
ejpam-6267	113	4	dτ	dτ	PROPN
ejpam-6267	113	5	]	]	PUNCT
ejpam-6267	113	6	,	,	PUNCT
ejpam-6267	113	7	=	=	SYM
ejpam-6267	113	8	k	k	X
ejpam-6267	113	9	(	(	PUNCT
ejpam-6267	113	10	s	s	X
ejpam-6267	113	11	)	)	PUNCT
ejpam-6267	113	12	m(s)tn	m(s)tn	NOUN
ejpam-6267	113	13	g	g	PROPN
ejpam-6267	114	1	[	[	X
ejpam-6267	114	2	v1	v1	PROPN
ejpam-6267	114	3	(	(	PUNCT
ejpam-6267	114	4	t)]tn	t)]tn	NUM
ejpam-6267	114	5	g	g	NOUN
ejpam-6267	115	1	[	[	X
ejpam-6267	115	2	v2	v2	X
ejpam-6267	115	3	(	(	PUNCT
ejpam-6267	115	4	t	t	NOUN
ejpam-6267	115	5	)	)	PUNCT
ejpam-6267	115	6	]	]	PUNCT
ejpam-6267	115	7	.	.	PUNCT
ejpam-6267	116	1	property	property	NOUN
ejpam-6267	116	2	2	2	NUM
ejpam-6267	116	3	.	.	PUNCT
ejpam-6267	117	1	when	when	SCONJ
ejpam-6267	117	2	v	v	X
ejpam-6267	117	3	(	(	PUNCT
ejpam-6267	117	4	t	t	NOUN
ejpam-6267	117	5	)	)	PUNCT
ejpam-6267	117	6	=	=	SYM
ejpam-6267	117	7	tx−1	tx−1	NOUN
ejpam-6267	117	8	in	in	ADP
ejpam-6267	117	9	formula	formula	NOUN
ejpam-6267	117	10	of	of	ADP
ejpam-6267	117	11	tn	tn	NOUN
ejpam-6267	117	12	g	g	PROPN
ejpam-6267	117	13	transform	transform	NOUN
ejpam-6267	117	14	5	5	NUM
ejpam-6267	117	15	,	,	PUNCT
ejpam-6267	117	16	then	then	ADV
ejpam-6267	117	17	:	:	PUNCT
ejpam-6267	117	18	tn	tn	PROPN
ejpam-6267	117	19	g	g	PROPN
ejpam-6267	117	20	[	[	PUNCT
ejpam-6267	117	21	tx−1	tx−1	PROPN
ejpam-6267	117	22	]	]	X
ejpam-6267	117	23	=	=	PUNCT
ejpam-6267	117	24	γ(x)m(s)kx−1	γ(x)m(s)kx−1	X
ejpam-6267	117	25	(	(	PUNCT
ejpam-6267	117	26	s	s	X
ejpam-6267	117	27	)	)	PUNCT
ejpam-6267	117	28	bx	bx	NOUN
ejpam-6267	117	29	(	(	PUNCT
ejpam-6267	117	30	s	s	PROPN
ejpam-6267	117	31	)	)	PUNCT
ejpam-6267	117	32	.	.	PUNCT
ejpam-6267	118	1	(	(	PUNCT
ejpam-6267	118	2	8)	8)	NUM
ejpam-6267	118	3	r.	r.	PROPN
ejpam-6267	118	4	belgacem	belgacem	NOUN
ejpam-6267	118	5	et	et	PROPN
ejpam-6267	118	6	al	al	PROPN
ejpam-6267	118	7	.	.	PUNCT
ejpam-6267	118	8	/	/	SYM
ejpam-6267	118	9	eur	eur	PROPN
ejpam-6267	118	10	.	.	PUNCT
ejpam-6267	119	1	j.	j.	PROPN
ejpam-6267	119	2	pure	pure	PROPN
ejpam-6267	119	3	appl	appl	PROPN
ejpam-6267	119	4	.	.	PROPN
ejpam-6267	119	5	math	math	PROPN
ejpam-6267	119	6	,	,	PUNCT
ejpam-6267	119	7	18	18	NUM
ejpam-6267	119	8	(	(	PUNCT
ejpam-6267	119	9	4	4	NUM
ejpam-6267	119	10	)	)	PUNCT
ejpam-6267	119	11	(	(	PUNCT
ejpam-6267	119	12	2025	2025	NUM
ejpam-6267	119	13	)	)	PUNCT
ejpam-6267	119	14	,	,	PUNCT
ejpam-6267	119	15	6267	6267	NUM
ejpam-6267	119	16	6	6	NUM
ejpam-6267	119	17	of	of	ADP
ejpam-6267	119	18	26	26	NUM
ejpam-6267	119	19	proof	proof	NOUN
ejpam-6267	119	20	.	.	PUNCT
ejpam-6267	120	1	from	from	ADP
ejpam-6267	120	2	the	the	DET
ejpam-6267	120	3	formula	formula	NOUN
ejpam-6267	120	4	5	5	NUM
ejpam-6267	120	5	,	,	PUNCT
ejpam-6267	120	6	we	we	PRON
ejpam-6267	120	7	obtain	obtain	VERB
ejpam-6267	120	8	:	:	PUNCT
ejpam-6267	120	9	tn	tn	PROPN
ejpam-6267	120	10	g	g	PROPN
ejpam-6267	120	11	[	[	PUNCT
ejpam-6267	120	12	tx−1	tx−1	PROPN
ejpam-6267	120	13	]	]	X
ejpam-6267	120	14	=	=	SYM
ejpam-6267	120	15	m(s	m(s	PROPN
ejpam-6267	120	16	)	)	PUNCT
ejpam-6267	120	17	∫	∫	PROPN
ejpam-6267	121	1	∞	∞	PROPN
ejpam-6267	121	2	0	0	PUNCT
ejpam-6267	122	1	(	(	PUNCT
ejpam-6267	122	2	k	k	X
ejpam-6267	122	3	(	(	PUNCT
ejpam-6267	122	4	s	s	NOUN
ejpam-6267	122	5	)	)	PUNCT
ejpam-6267	122	6	t)x−1	t)x−1	ADP
ejpam-6267	122	7	exp−b(s)t	exp−b(s)t	NOUN
ejpam-6267	122	8	dt	dt	X
ejpam-6267	122	9	,	,	PUNCT
ejpam-6267	122	10	=	=	SYM
ejpam-6267	122	11	m(s)kx−1	m(s)kx−1	NOUN
ejpam-6267	122	12	(	(	PUNCT
ejpam-6267	122	13	s	s	NOUN
ejpam-6267	122	14	)	)	PUNCT
ejpam-6267	122	15	∫	∫	PROPN
ejpam-6267	123	1	∞	∞	PROPN
ejpam-6267	123	2	0	0	NUM
ejpam-6267	123	3	tx−1	tx−1	PROPN
ejpam-6267	123	4	exp−b(s)t	exp−b(s)t	PROPN
ejpam-6267	123	5	dt	dt	PROPN
ejpam-6267	123	6	.	.	PUNCT
ejpam-6267	124	1	if	if	SCONJ
ejpam-6267	124	2	we	we	PRON
ejpam-6267	124	3	set	set	VERB
ejpam-6267	124	4	ξ	ξ	PROPN
ejpam-6267	124	5	=	=	SYM
ejpam-6267	124	6	b	b	PROPN
ejpam-6267	124	7	(	(	PUNCT
ejpam-6267	124	8	s	s	NOUN
ejpam-6267	124	9	)	)	PUNCT
ejpam-6267	124	10	t	t	PROPN
ejpam-6267	124	11	(	(	PUNCT
ejpam-6267	124	12	t	t	PROPN
ejpam-6267	124	13	=	=	SYM
ejpam-6267	124	14	ξ	ξ	PROPN
ejpam-6267	124	15	b	b	PROPN
ejpam-6267	124	16	(	(	PUNCT
ejpam-6267	124	17	s	s	NOUN
ejpam-6267	124	18	)	)	PUNCT
ejpam-6267	124	19	)	)	PUNCT
ejpam-6267	124	20	,	,	PUNCT
ejpam-6267	124	21	then	then	ADV
ejpam-6267	124	22	tn	tn	PROPN
ejpam-6267	124	23	g	g	PROPN
ejpam-6267	124	24	[	[	PUNCT
ejpam-6267	124	25	tx−1	tx−1	NOUN
ejpam-6267	124	26	]	]	X
ejpam-6267	124	27	=	=	PUNCT
ejpam-6267	125	1	m(s)kx−1	m(s)kx−1	NOUN
ejpam-6267	125	2	(	(	PUNCT
ejpam-6267	125	3	s	s	NOUN
ejpam-6267	125	4	)	)	PUNCT
ejpam-6267	125	5	bx	bx	NOUN
ejpam-6267	125	6	(	(	PUNCT
ejpam-6267	125	7	s	s	PROPN
ejpam-6267	125	8	)	)	PUNCT
ejpam-6267	125	9	∫	∫	PROPN
ejpam-6267	126	1	∞	∞	PROPN
ejpam-6267	126	2	0	0	NUM
ejpam-6267	126	3	ξx−1	ξx−1	PROPN
ejpam-6267	126	4	exp−ξ	exp−ξ	PROPN
ejpam-6267	126	5	dξ	dξ	PROPN
ejpam-6267	126	6	,	,	PUNCT
ejpam-6267	126	7	=	=	SYM
ejpam-6267	126	8	m(s)kx−1	m(s)kx−1	NOUN
ejpam-6267	126	9	(	(	PUNCT
ejpam-6267	126	10	s	s	NOUN
ejpam-6267	126	11	)	)	PUNCT
ejpam-6267	126	12	bx	bx	NOUN
ejpam-6267	126	13	(	(	PUNCT
ejpam-6267	126	14	s	s	NOUN
ejpam-6267	126	15	)	)	PUNCT
ejpam-6267	126	16	γ(x	γ(x	NOUN
ejpam-6267	126	17	)	)	PUNCT
ejpam-6267	126	18	.	.	PUNCT
ejpam-6267	127	1	lemma	lemma	PROPN
ejpam-6267	127	2	2	2	X
ejpam-6267	127	3	.	.	PUNCT
ejpam-6267	128	1	the	the	DET
ejpam-6267	128	2	tn	tn	NOUN
ejpam-6267	128	3	g	g	PROPN
ejpam-6267	128	4	transform	transform	NOUN
ejpam-6267	128	5	of	of	ADP
ejpam-6267	128	6	the	the	DET
ejpam-6267	128	7	fractional	fractional	ADJ
ejpam-6267	128	8	integral	integral	ADJ
ejpam-6267	128	9	rliα	rliα	NOUN
ejpam-6267	128	10	0,t	0,t	PROPN
ejpam-6267	128	11	of	of	ADP
ejpam-6267	128	12	v	v	NOUN
ejpam-6267	128	13	,	,	PUNCT
ejpam-6267	128	14	is	be	AUX
ejpam-6267	128	15	formulated	formulate	VERB
ejpam-6267	128	16	as	as	ADP
ejpam-6267	128	17	:	:	PUNCT
ejpam-6267	128	18	tn	tn	NOUN
ejpam-6267	128	19	g	g	NOUN
ejpam-6267	128	20	[	[	X
ejpam-6267	128	21	(	(	PUNCT
ejpam-6267	128	22	rliα	rliα	NOUN
ejpam-6267	128	23	0	0	NUM
ejpam-6267	128	24	v	v	NOUN
ejpam-6267	128	25	)	)	PUNCT
ejpam-6267	128	26	(	(	PUNCT
ejpam-6267	128	27	t	t	PROPN
ejpam-6267	128	28	)	)	PUNCT
ejpam-6267	128	29	]	]	PUNCT
ejpam-6267	129	1	=	=	SYM
ejpam-6267	129	2	kα	kα	X
ejpam-6267	129	3	(	(	PUNCT
ejpam-6267	129	4	s	s	NOUN
ejpam-6267	129	5	)	)	PUNCT
ejpam-6267	129	6	bα	bα	PROPN
ejpam-6267	129	7	(	(	PUNCT
ejpam-6267	129	8	s	s	NOUN
ejpam-6267	129	9	)	)	PUNCT
ejpam-6267	129	10	tn	tn	NOUN
ejpam-6267	129	11	g	g	PROPN
ejpam-6267	130	1	[	[	X
ejpam-6267	130	2	v	v	X
ejpam-6267	130	3	(	(	PUNCT
ejpam-6267	130	4	t	t	PROPN
ejpam-6267	130	5	)	)	PUNCT
ejpam-6267	130	6	]	]	PUNCT
ejpam-6267	130	7	.	.	PUNCT
ejpam-6267	131	1	(	(	PUNCT
ejpam-6267	131	2	9	9	X
ejpam-6267	131	3	)	)	PUNCT
ejpam-6267	131	4	proof	proof	NOUN
ejpam-6267	131	5	.	.	PUNCT
ejpam-6267	132	1	applying	apply	VERB
ejpam-6267	132	2	tn	tn	NOUN
ejpam-6267	132	3	g	g	NOUN
ejpam-6267	132	4	transform	transform	NOUN
ejpam-6267	132	5	and	and	CCONJ
ejpam-6267	132	6	according	accord	VERB
ejpam-6267	132	7	to	to	ADP
ejpam-6267	132	8	properties	property	NOUN
ejpam-6267	132	9	1	1	NUM
ejpam-6267	132	10	and	and	CCONJ
ejpam-6267	132	11	2	2	NUM
ejpam-6267	132	12	,	,	PUNCT
ejpam-6267	132	13	we	we	PRON
ejpam-6267	132	14	have	have	VERB
ejpam-6267	132	15	:	:	PUNCT
ejpam-6267	132	16	tn	tn	PROPN
ejpam-6267	132	17	g	g	PROPN
ejpam-6267	132	18	[	[	PUNCT
ejpam-6267	132	19	rliα	rliα	NOUN
ejpam-6267	132	20	0,tv	0,tv	PROPN
ejpam-6267	132	21	(	(	PUNCT
ejpam-6267	132	22	t	t	PROPN
ejpam-6267	132	23	)	)	PUNCT
ejpam-6267	132	24	]	]	PUNCT
ejpam-6267	133	1	=	=	PUNCT
ejpam-6267	133	2	tn	tn	PROPN
ejpam-6267	133	3	g	g	PROPN
ejpam-6267	133	4	[	[	PUNCT
ejpam-6267	133	5	1	1	NUM
ejpam-6267	133	6	γ(α	γ(α	NOUN
ejpam-6267	133	7	)	)	PUNCT
ejpam-6267	133	8	tα−1	tα−1	NOUN
ejpam-6267	133	9	?	?	PUNCT
ejpam-6267	133	10	v	v	NOUN
ejpam-6267	133	11	(	(	PUNCT
ejpam-6267	133	12	t	t	PROPN
ejpam-6267	133	13	)	)	PUNCT
ejpam-6267	133	14	]	]	PUNCT
ejpam-6267	133	15	,	,	PUNCT
ejpam-6267	133	16	=	=	SYM
ejpam-6267	133	17	k	k	X
ejpam-6267	133	18	(	(	PUNCT
ejpam-6267	133	19	s	s	NOUN
ejpam-6267	133	20	)	)	PUNCT
ejpam-6267	133	21	m(s	m(s	PROPN
ejpam-6267	133	22	)	)	PUNCT
ejpam-6267	133	23	m(s)rα−1	m(s)rα−1	NOUN
ejpam-6267	133	24	(	(	PUNCT
ejpam-6267	133	25	s	s	NOUN
ejpam-6267	133	26	)	)	PUNCT
ejpam-6267	133	27	bα	bα	PROPN
ejpam-6267	133	28	(	(	PUNCT
ejpam-6267	133	29	s	s	NOUN
ejpam-6267	133	30	)	)	PUNCT
ejpam-6267	133	31	tn	tn	NOUN
ejpam-6267	133	32	g	g	PROPN
ejpam-6267	134	1	[	[	X
ejpam-6267	134	2	v	v	X
ejpam-6267	134	3	(	(	PUNCT
ejpam-6267	134	4	t	t	PROPN
ejpam-6267	134	5	)	)	PUNCT
ejpam-6267	134	6	]	]	PUNCT
ejpam-6267	135	1	,	,	PUNCT
ejpam-6267	135	2	=	=	PRON
ejpam-6267	135	3	kα	kα	X
ejpam-6267	135	4	(	(	PUNCT
ejpam-6267	135	5	s	s	NOUN
ejpam-6267	135	6	)	)	PUNCT
ejpam-6267	135	7	bα	bα	PROPN
ejpam-6267	135	8	(	(	PUNCT
ejpam-6267	135	9	s	s	NOUN
ejpam-6267	135	10	)	)	PUNCT
ejpam-6267	135	11	tn	tn	NOUN
ejpam-6267	136	1	g	g	PROPN
ejpam-6267	137	1	[	[	X
ejpam-6267	137	2	v	v	X
ejpam-6267	137	3	(	(	PUNCT
ejpam-6267	137	4	t	t	PROPN
ejpam-6267	137	5	)	)	PUNCT
ejpam-6267	137	6	]	]	PUNCT
ejpam-6267	137	7	.	.	PUNCT
ejpam-6267	138	1	lemma	lemma	PROPN
ejpam-6267	138	2	3	3	X
ejpam-6267	138	3	.	.	PUNCT
ejpam-6267	139	1	the	the	DET
ejpam-6267	139	2	tn	tn	NOUN
ejpam-6267	139	3	g	g	PROPN
ejpam-6267	139	4	transform	transform	NOUN
ejpam-6267	139	5	of	of	ADP
ejpam-6267	139	6	the	the	DET
ejpam-6267	139	7	rldα	rldα	ADJ
ejpam-6267	139	8	0	0	NUM
ejpam-6267	139	9	of	of	ADP
ejpam-6267	139	10	v	v	NOUN
ejpam-6267	139	11	,	,	PUNCT
ejpam-6267	139	12	is	be	AUX
ejpam-6267	139	13	given	give	VERB
ejpam-6267	139	14	as	as	SCONJ
ejpam-6267	139	15	follows	follow	VERB
ejpam-6267	139	16	:	:	PUNCT
ejpam-6267	139	17	tn	tn	PROPN
ejpam-6267	139	18	g	g	PROPN
ejpam-6267	139	19	{	{	PUNCT
ejpam-6267	139	20	rldα	rldα	ADJ
ejpam-6267	139	21	0,tv	0,tv	PROPN
ejpam-6267	139	22	(	(	PUNCT
ejpam-6267	139	23	t	t	PROPN
ejpam-6267	139	24	)	)	PUNCT
ejpam-6267	139	25	,	,	PUNCT
ejpam-6267	139	26	s	s	X
ejpam-6267	139	27	}	}	PUNCT
ejpam-6267	139	28	=	=	SYM
ejpam-6267	139	29	(	(	PUNCT
ejpam-6267	139	30	b	b	X
ejpam-6267	139	31	(	(	PUNCT
ejpam-6267	139	32	s	s	NOUN
ejpam-6267	139	33	)	)	PUNCT
ejpam-6267	139	34	k	k	PROPN
ejpam-6267	139	35	(	(	PUNCT
ejpam-6267	139	36	s	s	NOUN
ejpam-6267	139	37	)	)	PUNCT
ejpam-6267	139	38	)	)	PUNCT
ejpam-6267	140	1	α	α	PROPN
ejpam-6267	140	2	tn	tn	NOUN
ejpam-6267	141	1	g	g	PROPN
ejpam-6267	141	2	[	[	X
ejpam-6267	141	3	v	v	X
ejpam-6267	141	4	(	(	PUNCT
ejpam-6267	141	5	t)]−m(s	t)]−m(s	NOUN
ejpam-6267	141	6	)	)	PUNCT
ejpam-6267	141	7	m−1∑	m−1∑	PROPN
ejpam-6267	141	8	k=0	k=0	PROPN
ejpam-6267	141	9	bm−1−k	bm−1−k	X
ejpam-6267	141	10	(	(	PUNCT
ejpam-6267	141	11	s	s	NOUN
ejpam-6267	141	12	)	)	PUNCT
ejpam-6267	141	13	km−k	km−k	NOUN
ejpam-6267	141	14	(	(	PUNCT
ejpam-6267	141	15	s	s	NOUN
ejpam-6267	141	16	)	)	PUNCT
ejpam-6267	141	17	[	[	PUNCT
ejpam-6267	141	18	rldα−k−m	rldα−k−m	NOUN
ejpam-6267	141	19	0,t	0,t	PROPN
ejpam-6267	141	20	v	v	NOUN
ejpam-6267	141	21	(	(	PUNCT
ejpam-6267	141	22	t	t	PROPN
ejpam-6267	141	23	)	)	PUNCT
ejpam-6267	141	24	]	]	PUNCT
ejpam-6267	142	1	t=0	t=0	PROPN
ejpam-6267	142	2	,	,	PUNCT
ejpam-6267	142	3	(	(	PUNCT
ejpam-6267	142	4	10	10	NUM
ejpam-6267	142	5	)	)	PUNCT
ejpam-6267	142	6	where	where	SCONJ
ejpam-6267	142	7	m−1	m−1	PROPN
ejpam-6267	142	8	<	<	X
ejpam-6267	142	9	α	α	PROPN
ejpam-6267	142	10	≤	≤	ADJ
ejpam-6267	142	11	m.	m.	NOUN
ejpam-6267	142	12	proof	proof	NOUN
ejpam-6267	142	13	.	.	PUNCT
ejpam-6267	143	1	applying	apply	VERB
ejpam-6267	143	2	the	the	DET
ejpam-6267	143	3	tn	tn	NOUN
ejpam-6267	143	4	g	g	PROPN
ejpam-6267	143	5	transform	transform	NOUN
ejpam-6267	143	6	to	to	ADP
ejpam-6267	143	7	both	both	DET
ejpam-6267	143	8	sides	side	NOUN
ejpam-6267	143	9	of	of	ADP
ejpam-6267	143	10	equation	equation	NOUN
ejpam-6267	143	11	(	(	PUNCT
ejpam-6267	143	12	2	2	NUM
ejpam-6267	143	13	)	)	PUNCT
ejpam-6267	143	14	,	,	PUNCT
ejpam-6267	143	15	followed	follow	VERB
ejpam-6267	143	16	by	by	ADP
ejpam-6267	143	17	the	the	DET
ejpam-6267	143	18	use	use	NOUN
ejpam-6267	143	19	of	of	ADP
ejpam-6267	143	20	lemma	lemma	PROPN
ejpam-6267	143	21	(	(	PUNCT
ejpam-6267	143	22	2	2	NUM
ejpam-6267	143	23	)	)	PUNCT
ejpam-6267	143	24	and	and	CCONJ
ejpam-6267	143	25	theorem	theorem	VERB
ejpam-6267	143	26	(	(	PUNCT
ejpam-6267	143	27	1	1	NUM
ejpam-6267	143	28	)	)	PUNCT
ejpam-6267	143	29	,	,	PUNCT
ejpam-6267	143	30	yields	yield	VERB
ejpam-6267	143	31	:	:	PUNCT
ejpam-6267	143	32	tn	tn	PROPN
ejpam-6267	143	33	g	g	PROPN
ejpam-6267	143	34	[	[	PUNCT
ejpam-6267	143	35	rldα	rldα	ADJ
ejpam-6267	143	36	0,tv	0,tv	NOUN
ejpam-6267	143	37	(	(	PUNCT
ejpam-6267	143	38	t	t	PROPN
ejpam-6267	143	39	)	)	PUNCT
ejpam-6267	143	40	]	]	PUNCT
ejpam-6267	144	1	=	=	PUNCT
ejpam-6267	144	2	tn	tn	PROPN
ejpam-6267	144	3	g	g	PROPN
ejpam-6267	144	4	[	[	PUNCT
ejpam-6267	144	5	dm	dm	PROPN
ejpam-6267	144	6	dtm	dtm	PROPN
ejpam-6267	144	7	im−α	im−α	PROPN
ejpam-6267	144	8	0,t	0,t	PROPN
ejpam-6267	144	9	v	v	PROPN
ejpam-6267	144	10	(	(	PUNCT
ejpam-6267	144	11	t	t	PROPN
ejpam-6267	144	12	)	)	PUNCT
ejpam-6267	144	13	]	]	PUNCT
ejpam-6267	144	14	,	,	PUNCT
ejpam-6267	144	15	r.	r.	PROPN
ejpam-6267	144	16	belgacem	belgacem	PROPN
ejpam-6267	144	17	et	et	PROPN
ejpam-6267	144	18	al	al	PROPN
ejpam-6267	144	19	.	.	PUNCT
ejpam-6267	144	20	/	/	SYM
ejpam-6267	144	21	eur	eur	PROPN
ejpam-6267	144	22	.	.	PUNCT
ejpam-6267	145	1	j.	j.	PROPN
ejpam-6267	145	2	pure	pure	PROPN
ejpam-6267	145	3	appl	appl	PROPN
ejpam-6267	145	4	.	.	PROPN
ejpam-6267	145	5	math	math	PROPN
ejpam-6267	145	6	,	,	PUNCT
ejpam-6267	145	7	18	18	NUM
ejpam-6267	145	8	(	(	PUNCT
ejpam-6267	145	9	4	4	NUM
ejpam-6267	145	10	)	)	PUNCT
ejpam-6267	145	11	(	(	PUNCT
ejpam-6267	145	12	2025	2025	NUM
ejpam-6267	145	13	)	)	PUNCT
ejpam-6267	145	14	,	,	PUNCT
ejpam-6267	145	15	6267	6267	NUM
ejpam-6267	145	16	7	7	NUM
ejpam-6267	145	17	of	of	ADP
ejpam-6267	145	18	26	26	NUM
ejpam-6267	145	19	=	=	SYM
ejpam-6267	145	20	(	(	PUNCT
ejpam-6267	145	21	b	b	X
ejpam-6267	145	22	(	(	PUNCT
ejpam-6267	145	23	s	s	NOUN
ejpam-6267	145	24	)	)	PUNCT
ejpam-6267	145	25	k	k	PROPN
ejpam-6267	145	26	(	(	PUNCT
ejpam-6267	145	27	s	s	NOUN
ejpam-6267	145	28	)	)	PUNCT
ejpam-6267	145	29	)	)	PUNCT
ejpam-6267	146	1	m	m	PROPN
ejpam-6267	146	2	tn	tn	PROPN
ejpam-6267	146	3	g	g	PROPN
ejpam-6267	146	4	[	[	PUNCT
ejpam-6267	146	5	im−α	im−α	PROPN
ejpam-6267	146	6	0,t	0,t	PROPN
ejpam-6267	146	7	v	v	PROPN
ejpam-6267	146	8	(	(	PUNCT
ejpam-6267	146	9	t	t	PROPN
ejpam-6267	146	10	)	)	PUNCT
ejpam-6267	146	11	]	]	PUNCT
ejpam-6267	146	12	−m(s	−m(s	NOUN
ejpam-6267	146	13	)	)	PUNCT
ejpam-6267	146	14	m−1∑	m−1∑	PROPN
ejpam-6267	146	15	k=0	k=0	PROPN
ejpam-6267	146	16	bm−1−k	bm−1−k	X
ejpam-6267	146	17	(	(	PUNCT
ejpam-6267	146	18	s	s	NOUN
ejpam-6267	146	19	)	)	PUNCT
ejpam-6267	146	20	km−k	km−k	NOUN
ejpam-6267	146	21	(	(	PUNCT
ejpam-6267	146	22	s	s	NOUN
ejpam-6267	146	23	)	)	PUNCT
ejpam-6267	147	1	[	[	X
ejpam-6267	147	2	(	(	PUNCT
ejpam-6267	147	3	d	d	X
ejpam-6267	147	4	dt	dt	NOUN
ejpam-6267	147	5	)	)	PUNCT
ejpam-6267	147	6	(	(	PUNCT
ejpam-6267	147	7	k	k	X
ejpam-6267	147	8	)	)	PUNCT
ejpam-6267	147	9	im−α	im−α	PROPN
ejpam-6267	147	10	0,t	0,t	PROPN
ejpam-6267	147	11	v	v	PROPN
ejpam-6267	147	12	(	(	PUNCT
ejpam-6267	147	13	t	t	PROPN
ejpam-6267	147	14	)	)	PUNCT
ejpam-6267	147	15	]	]	PUNCT
ejpam-6267	148	1	t=0	t=0	PROPN
ejpam-6267	148	2	,	,	PUNCT
ejpam-6267	148	3	=	=	PRON
ejpam-6267	148	4	(	(	PUNCT
ejpam-6267	148	5	b	b	X
ejpam-6267	148	6	(	(	PUNCT
ejpam-6267	148	7	s	s	NOUN
ejpam-6267	148	8	)	)	PUNCT
ejpam-6267	148	9	k	k	PROPN
ejpam-6267	148	10	(	(	PUNCT
ejpam-6267	148	11	s	s	NOUN
ejpam-6267	148	12	)	)	PUNCT
ejpam-6267	148	13	)	)	PUNCT
ejpam-6267	149	1	α	α	PROPN
ejpam-6267	149	2	tn	tn	NOUN
ejpam-6267	150	1	g	g	PROPN
ejpam-6267	150	2	[	[	X
ejpam-6267	150	3	v	v	X
ejpam-6267	150	4	(	(	PUNCT
ejpam-6267	150	5	t)]−m(s	t)]−m(s	NOUN
ejpam-6267	150	6	)	)	PUNCT
ejpam-6267	150	7	m−1∑	m−1∑	PROPN
ejpam-6267	150	8	k=0	k=0	PROPN
ejpam-6267	150	9	bm−1−k	bm−1−k	X
ejpam-6267	150	10	(	(	PUNCT
ejpam-6267	150	11	s	s	NOUN
ejpam-6267	150	12	)	)	PUNCT
ejpam-6267	150	13	km−k	km−k	NOUN
ejpam-6267	150	14	(	(	PUNCT
ejpam-6267	150	15	s	s	NOUN
ejpam-6267	150	16	)	)	PUNCT
ejpam-6267	150	17	[	[	PUNCT
ejpam-6267	150	18	rldα−k−m	rldα−k−m	NOUN
ejpam-6267	150	19	0,t	0,t	PROPN
ejpam-6267	150	20	v	v	NOUN
ejpam-6267	150	21	(	(	PUNCT
ejpam-6267	150	22	t	t	PROPN
ejpam-6267	150	23	)	)	PUNCT
ejpam-6267	150	24	]	]	PUNCT
ejpam-6267	151	1	t=0	t=0	PROPN
ejpam-6267	151	2	.	.	PUNCT
ejpam-6267	152	1	hence	hence	ADV
ejpam-6267	152	2	,	,	PUNCT
ejpam-6267	152	3	the	the	DET
ejpam-6267	152	4	desired	desire	VERB
ejpam-6267	152	5	result	result	NOUN
ejpam-6267	152	6	(	(	PUNCT
ejpam-6267	152	7	10	10	NUM
ejpam-6267	152	8	)	)	PUNCT
ejpam-6267	152	9	is	be	AUX
ejpam-6267	152	10	established	establish	VERB
ejpam-6267	152	11	.	.	PUNCT
ejpam-6267	153	1	theorem	theorem	NOUN
ejpam-6267	153	2	2	2	NUM
ejpam-6267	153	3	.	.	PUNCT
ejpam-6267	154	1	if	if	SCONJ
ejpam-6267	154	2	v	v	NUM
ejpam-6267	154	3	∈	∈	PROPN
ejpam-6267	154	4	acm(a	acm(a	PROPN
ejpam-6267	154	5	,	,	PUNCT
ejpam-6267	154	6	b	b	NOUN
ejpam-6267	154	7	)	)	PUNCT
ejpam-6267	154	8	for	for	ADP
ejpam-6267	154	9	any	any	DET
ejpam-6267	154	10	b	b	PROPN
ejpam-6267	154	11	>	>	X
ejpam-6267	154	12	a	a	PRON
ejpam-6267	154	13	and	and	CCONJ
ejpam-6267	154	14	of	of	ADP
ejpam-6267	154	15	exponential	exponential	ADJ
ejpam-6267	154	16	order	order	NOUN
ejpam-6267	154	17	.	.	PUNCT
ejpam-6267	155	1	then	then	ADV
ejpam-6267	155	2	,	,	PUNCT
ejpam-6267	155	3	the	the	DET
ejpam-6267	155	4	tn	tn	NOUN
ejpam-6267	155	5	g	g	PROPN
ejpam-6267	155	6	transform	transform	NOUN
ejpam-6267	155	7	of	of	ADP
ejpam-6267	155	8	the	the	DET
ejpam-6267	155	9	cdα	cdα	NOUN
ejpam-6267	155	10	0	0	NUM
ejpam-6267	155	11	of	of	ADP
ejpam-6267	155	12	v	v	NOUN
ejpam-6267	155	13	is	be	AUX
ejpam-6267	155	14	given	give	VERB
ejpam-6267	155	15	by	by	ADP
ejpam-6267	155	16	:	:	PUNCT
ejpam-6267	155	17	tn	tn	PROPN
ejpam-6267	155	18	g	g	PROPN
ejpam-6267	155	19	[	[	PUNCT
ejpam-6267	155	20	cdα	cdα	NOUN
ejpam-6267	155	21	0	0	NUM
ejpam-6267	155	22	v	v	NOUN
ejpam-6267	155	23	(	(	PUNCT
ejpam-6267	155	24	t	t	PROPN
ejpam-6267	155	25	)	)	PUNCT
ejpam-6267	155	26	]	]	PUNCT
ejpam-6267	156	1	=	=	PUNCT
ejpam-6267	156	2	bα	bα	PROPN
ejpam-6267	156	3	(	(	PUNCT
ejpam-6267	156	4	s	s	X
ejpam-6267	156	5	)	)	PUNCT
ejpam-6267	156	6	kα	kα	PROPN
ejpam-6267	156	7	(	(	PUNCT
ejpam-6267	156	8	s)tn	s)tn	PROPN
ejpam-6267	156	9	g	g	PROPN
ejpam-6267	156	10	[	[	X
ejpam-6267	156	11	v	v	X
ejpam-6267	156	12	(	(	PUNCT
ejpam-6267	156	13	t)]−	t)]−	NOUN
ejpam-6267	156	14	m−1∑	m−1∑	PROPN
ejpam-6267	156	15	k=0	k=0	PROPN
ejpam-6267	156	16	m(s)bα−k−1	m(s)bα−k−1	X
ejpam-6267	156	17	(	(	PUNCT
ejpam-6267	156	18	s	s	NOUN
ejpam-6267	156	19	)	)	PUNCT
ejpam-6267	156	20	kα−k	kα−k	NOUN
ejpam-6267	156	21	(	(	PUNCT
ejpam-6267	156	22	s	s	NOUN
ejpam-6267	156	23	)	)	PUNCT
ejpam-6267	156	24	v(k	v(k	NOUN
ejpam-6267	156	25	)	)	PUNCT
ejpam-6267	156	26	(	(	PUNCT
ejpam-6267	156	27	0	0	NUM
ejpam-6267	156	28	)	)	PUNCT
ejpam-6267	156	29	.	.	PUNCT
ejpam-6267	157	1	(	(	PUNCT
ejpam-6267	157	2	11	11	NUM
ejpam-6267	157	3	)	)	PUNCT
ejpam-6267	157	4	proof	proof	NOUN
ejpam-6267	157	5	.	.	PUNCT
ejpam-6267	158	1	since	since	SCONJ
ejpam-6267	158	2	(	(	PUNCT
ejpam-6267	158	3	rliα	rliα	NOUN
ejpam-6267	158	4	0,t	0,t	PROPN
ejpam-6267	158	5	cdα	cdα	PROPN
ejpam-6267	158	6	0,t	0,t	PROPN
ejpam-6267	158	7	)	)	PUNCT
ejpam-6267	159	1	v	v	PROPN
ejpam-6267	159	2	(	(	PUNCT
ejpam-6267	159	3	t	t	NOUN
ejpam-6267	159	4	)	)	PUNCT
ejpam-6267	159	5	=	=	NOUN
ejpam-6267	160	1	v	v	X
ejpam-6267	160	2	(	(	PUNCT
ejpam-6267	160	3	t	t	PROPN
ejpam-6267	160	4	)	)	PUNCT
ejpam-6267	160	5	−	−	PROPN
ejpam-6267	160	6	∑m−1	∑m−1	NOUN
ejpam-6267	160	7	k=0	k=0	PROPN
ejpam-6267	160	8	v(k	v(k	PROPN
ejpam-6267	160	9	)	)	PUNCT
ejpam-6267	160	10	(	(	PUNCT
ejpam-6267	160	11	0	0	NUM
ejpam-6267	160	12	)	)	PUNCT
ejpam-6267	160	13	k	k	NOUN
ejpam-6267	160	14	!	!	PUNCT
ejpam-6267	160	15	tk	tk	PROPN
ejpam-6267	160	16	.	.	PROPN
ejpam-6267	161	1	according	accord	VERB
ejpam-6267	161	2	to	to	ADP
ejpam-6267	161	3	lemma	lemma	PROPN
ejpam-6267	161	4	1	1	NUM
ejpam-6267	161	5	,	,	PUNCT
ejpam-6267	161	6	we	we	PRON
ejpam-6267	161	7	have	have	VERB
ejpam-6267	161	8	:	:	PUNCT
ejpam-6267	161	9	tn	tn	PROPN
ejpam-6267	161	10	g	g	PROPN
ejpam-6267	162	1	[	[	X
ejpam-6267	162	2	(	(	PUNCT
ejpam-6267	162	3	rliα	rliα	PROPN
ejpam-6267	162	4	0,t	0,t	PROPN
ejpam-6267	162	5	cdα	cdα	PROPN
ejpam-6267	162	6	0,t	0,t	PROPN
ejpam-6267	162	7	)	)	PUNCT
ejpam-6267	163	1	v	v	PROPN
ejpam-6267	163	2	(	(	PUNCT
ejpam-6267	163	3	t	t	PROPN
ejpam-6267	163	4	)	)	PUNCT
ejpam-6267	163	5	]	]	PUNCT
ejpam-6267	164	1	=	=	PUNCT
ejpam-6267	164	2	tn	tn	PROPN
ejpam-6267	164	3	g	g	PROPN
ejpam-6267	164	4	[	[	PUNCT
ejpam-6267	164	5	v	v	NOUN
ejpam-6267	164	6	(	(	PUNCT
ejpam-6267	164	7	t)−	t)−	PROPN
ejpam-6267	164	8	m−1∑	m−1∑	PRON
ejpam-6267	164	9	k=0	k=0	PROPN
ejpam-6267	164	10	v(k	v(k	PROPN
ejpam-6267	164	11	)	)	PUNCT
ejpam-6267	164	12	(	(	PUNCT
ejpam-6267	164	13	0	0	NUM
ejpam-6267	164	14	)	)	PUNCT
ejpam-6267	164	15	k	k	NOUN
ejpam-6267	164	16	!	!	PUNCT
ejpam-6267	164	17	tk	tk	PROPN
ejpam-6267	164	18	]	]	PUNCT
ejpam-6267	164	19	,	,	PUNCT
ejpam-6267	164	20	(	(	PUNCT
ejpam-6267	164	21	12	12	NUM
ejpam-6267	164	22	)	)	PUNCT
ejpam-6267	164	23	therefore	therefore	ADV
ejpam-6267	164	24	,	,	PUNCT
ejpam-6267	164	25	the	the	DET
ejpam-6267	164	26	eq	eq	NOUN
ejpam-6267	164	27	12	12	NUM
ejpam-6267	164	28	becomes	become	VERB
ejpam-6267	164	29	,	,	PUNCT
ejpam-6267	164	30	kα	kα	PROPN
ejpam-6267	164	31	(	(	PUNCT
ejpam-6267	164	32	s	s	NOUN
ejpam-6267	164	33	)	)	PUNCT
ejpam-6267	164	34	bα	bα	PROPN
ejpam-6267	164	35	(	(	PUNCT
ejpam-6267	164	36	s	s	NOUN
ejpam-6267	164	37	)	)	PUNCT
ejpam-6267	164	38	tn	tn	PROPN
ejpam-6267	164	39	g	g	PROPN
ejpam-6267	164	40	[	[	PUNCT
ejpam-6267	164	41	cdα	cdα	NOUN
ejpam-6267	164	42	0	0	NUM
ejpam-6267	164	43	v	v	NOUN
ejpam-6267	164	44	(	(	PUNCT
ejpam-6267	164	45	t	t	PROPN
ejpam-6267	164	46	)	)	PUNCT
ejpam-6267	164	47	]	]	PUNCT
ejpam-6267	165	1	=	=	PUNCT
ejpam-6267	165	2	tn	tn	PROPN
ejpam-6267	165	3	g	g	PROPN
ejpam-6267	166	1	[	[	X
ejpam-6267	166	2	v	v	X
ejpam-6267	166	3	(	(	PUNCT
ejpam-6267	166	4	t)]−	t)]−	NOUN
ejpam-6267	166	5	m−1∑	m−1∑	PRON
ejpam-6267	166	6	k=0	k=0	PROPN
ejpam-6267	166	7	v(k	v(k	PROPN
ejpam-6267	166	8	)	)	PUNCT
ejpam-6267	166	9	(	(	PUNCT
ejpam-6267	166	10	0	0	NUM
ejpam-6267	166	11	)	)	PUNCT
ejpam-6267	166	12	k	k	NOUN
ejpam-6267	166	13	!	!	PUNCT
ejpam-6267	167	1	k!m(s)kk(s	k!m(s)kk(s	NOUN
ejpam-6267	167	2	)	)	PUNCT
ejpam-6267	167	3	bk+1	bk+1	NOUN
ejpam-6267	167	4	(	(	PUNCT
ejpam-6267	167	5	s	s	NOUN
ejpam-6267	167	6	)	)	PUNCT
ejpam-6267	167	7	.	.	PUNCT
ejpam-6267	168	1	finally	finally	ADV
ejpam-6267	168	2	,	,	PUNCT
ejpam-6267	168	3	we	we	PRON
ejpam-6267	168	4	obtain	obtain	VERB
ejpam-6267	168	5	:	:	PUNCT
ejpam-6267	168	6	tn	tn	PROPN
ejpam-6267	168	7	g	g	PROPN
ejpam-6267	168	8	[	[	PUNCT
ejpam-6267	168	9	cdα	cdα	NOUN
ejpam-6267	168	10	0,tv	0,tv	PROPN
ejpam-6267	168	11	(	(	PUNCT
ejpam-6267	168	12	t	t	PROPN
ejpam-6267	168	13	)	)	PUNCT
ejpam-6267	168	14	]	]	PUNCT
ejpam-6267	169	1	=	=	PUNCT
ejpam-6267	169	2	bα	bα	PROPN
ejpam-6267	169	3	(	(	PUNCT
ejpam-6267	169	4	s	s	X
ejpam-6267	169	5	)	)	PUNCT
ejpam-6267	169	6	kα	kα	PROPN
ejpam-6267	169	7	(	(	PUNCT
ejpam-6267	169	8	s)tn	s)tn	PROPN
ejpam-6267	169	9	g	g	PROPN
ejpam-6267	169	10	[	[	X
ejpam-6267	169	11	v	v	X
ejpam-6267	169	12	(	(	PUNCT
ejpam-6267	169	13	t)]−	t)]−	NOUN
ejpam-6267	169	14	m−1∑	m−1∑	PROPN
ejpam-6267	169	15	k=0	k=0	PROPN
ejpam-6267	169	16	m(s)bα−k−1	m(s)bα−k−1	X
ejpam-6267	169	17	(	(	PUNCT
ejpam-6267	169	18	s	s	NOUN
ejpam-6267	169	19	)	)	PUNCT
ejpam-6267	169	20	kα−k	kα−k	NOUN
ejpam-6267	169	21	(	(	PUNCT
ejpam-6267	169	22	s	s	NOUN
ejpam-6267	169	23	)	)	PUNCT
ejpam-6267	169	24	v(k	v(k	NOUN
ejpam-6267	169	25	)	)	PUNCT
ejpam-6267	169	26	(	(	PUNCT
ejpam-6267	169	27	0	0	NUM
ejpam-6267	169	28	)	)	PUNCT
ejpam-6267	169	29	.	.	PUNCT
ejpam-6267	170	1	this	this	PRON
ejpam-6267	170	2	concludes	conclude	VERB
ejpam-6267	170	3	the	the	DET
ejpam-6267	170	4	proof	proof	NOUN
ejpam-6267	170	5	.	.	PUNCT
ejpam-6267	171	1	4	4	X
ejpam-6267	171	2	.	.	X
ejpam-6267	171	3	main	main	ADJ
ejpam-6267	171	4	results	result	NOUN
ejpam-6267	171	5	and	and	CCONJ
ejpam-6267	171	6	mathematical	mathematical	ADJ
ejpam-6267	171	7	modeling	modeling	NOUN
ejpam-6267	171	8	of	of	ADP
ejpam-6267	171	9	smoking	smoking	NOUN
ejpam-6267	171	10	epidemic	epidemic	NOUN
ejpam-6267	171	11	model	model	NOUN
ejpam-6267	171	12	many	many	ADJ
ejpam-6267	171	13	mathematical	mathematical	ADJ
ejpam-6267	171	14	models	model	NOUN
ejpam-6267	171	15	are	be	AUX
ejpam-6267	171	16	employed	employ	VERB
ejpam-6267	171	17	to	to	PART
ejpam-6267	171	18	grasp	grasp	VERB
ejpam-6267	171	19	biological	biological	ADJ
ejpam-6267	171	20	phenomena	phenomenon	NOUN
ejpam-6267	171	21	through	through	ADP
ejpam-6267	171	22	an	an	DET
ejpam-6267	171	23	examination	examination	NOUN
ejpam-6267	171	24	of	of	ADP
ejpam-6267	171	25	their	their	PRON
ejpam-6267	171	26	dynamic	dynamic	ADJ
ejpam-6267	171	27	behavior	behavior	NOUN
ejpam-6267	171	28	.	.	PUNCT
ejpam-6267	172	1	in	in	ADP
ejpam-6267	172	2	our	our	PRON
ejpam-6267	172	3	research	research	NOUN
ejpam-6267	172	4	,	,	PUNCT
ejpam-6267	172	5	we	we	PRON
ejpam-6267	172	6	consider	consider	VERB
ejpam-6267	172	7	a	a	DET
ejpam-6267	172	8	system	system	NOUN
ejpam-6267	172	9	comprising	comprise	VERB
ejpam-6267	172	10	five	five	NUM
ejpam-6267	172	11	non	non	ADJ
ejpam-6267	172	12	linear	linear	PROPN
ejpam-6267	172	13	fdes	fde	NOUN
ejpam-6267	172	14	that	that	PRON
ejpam-6267	172	15	characterize	characterize	VERB
ejpam-6267	172	16	the	the	DET
ejpam-6267	172	17	smoking	smoking	NOUN
ejpam-6267	172	18	epidemic	epidemic	NOUN
ejpam-6267	172	19	model	model	NOUN
ejpam-6267	172	20	,	,	PUNCT
ejpam-6267	172	21	incorporating	incorporate	VERB
ejpam-6267	172	22	the	the	DET
ejpam-6267	172	23	cdα	cdα	NOUN
ejpam-6267	172	24	0,t	0,t	PROPN
ejpam-6267	172	25	,	,	PUNCT
ejpam-6267	172	26	where	where	SCONJ
ejpam-6267	172	27	0	0	X
ejpam-6267	172	28	<	<	X
ejpam-6267	172	29	α	α	X
ejpam-6267	172	30	<	<	X
ejpam-6267	172	31	1	1	NUM
ejpam-6267	172	32	.	.	PUNCT
ejpam-6267	173	1	this	this	DET
ejpam-6267	173	2	model	model	NOUN
ejpam-6267	173	3	is	be	AUX
ejpam-6267	173	4	formulated	formulate	VERB
ejpam-6267	173	5	in	in	ADP
ejpam-6267	173	6	[	[	X
ejpam-6267	173	7	28	28	NUM
ejpam-6267	173	8	]	]	PUNCT
ejpam-6267	173	9	as	as	ADP
ejpam-6267	173	10	follows:	follows:	NOUN
ejpam-6267	173	11	cdα	cdα	NOUN
ejpam-6267	173	12	0,t(p	0,t(p	PROPN
ejpam-6267	173	13	(	(	PUNCT
ejpam-6267	173	14	t	t	PROPN
ejpam-6267	173	15	)	)	PUNCT
ejpam-6267	173	16	)	)	PUNCT
ejpam-6267	174	1	=	=	SYM
ejpam-6267	174	2	λ−βp	λ−βp	PROPN
ejpam-6267	174	3	(	(	PUNCT
ejpam-6267	174	4	t)s(t)−µp	t)s(t)−µp	PROPN
ejpam-6267	174	5	(	(	PUNCT
ejpam-6267	174	6	t	t	PROPN
ejpam-6267	174	7	)	)	PUNCT
ejpam-6267	174	8	,	,	PUNCT
ejpam-6267	174	9	cdα	cdα	NOUN
ejpam-6267	174	10	0,t(o	0,t(o	PROPN
ejpam-6267	174	11	(	(	PUNCT
ejpam-6267	174	12	t	t	PROPN
ejpam-6267	174	13	)	)	PUNCT
ejpam-6267	174	14	)	)	PUNCT
ejpam-6267	175	1	=	=	SYM
ejpam-6267	175	2	βp	βp	INTJ
ejpam-6267	175	3	(	(	PUNCT
ejpam-6267	175	4	t)s(t)−α1o(t)−µo(t	t)s(t)−α1o(t)−µo(t	PROPN
ejpam-6267	175	5	)	)	PUNCT
ejpam-6267	175	6	,	,	PUNCT
ejpam-6267	175	7	cdα	cdα	NOUN
ejpam-6267	175	8	0,t(s	0,t(s	NUM
ejpam-6267	175	9	(	(	PUNCT
ejpam-6267	175	10	t	t	NOUN
ejpam-6267	175	11	)	)	PUNCT
ejpam-6267	175	12	)	)	PUNCT
ejpam-6267	176	1	=	=	SYM
ejpam-6267	177	1	α1o(t)+α2s(t)q(t)−	α1o(t)+α2s(t)q(t)−	PROPN
ejpam-6267	177	2	(	(	PUNCT
ejpam-6267	177	3	µ+γ)s(t	µ+γ)s(t	PROPN
ejpam-6267	177	4	)	)	PUNCT
ejpam-6267	177	5	,	,	PUNCT
ejpam-6267	177	6	cdα	cdα	NOUN
ejpam-6267	177	7	0,t(q(t	0,t(q(t	PROPN
ejpam-6267	177	8	)	)	PUNCT
ejpam-6267	177	9	)	)	PUNCT
ejpam-6267	178	1	=	=	SYM
ejpam-6267	178	2	−α2s(t)q(t)−µq(t)+γ	−α2s(t)q(t)−µq(t)+γ	PROPN
ejpam-6267	178	3	(	(	PUNCT
ejpam-6267	178	4	1−	1−	NUM
ejpam-6267	178	5	δ)s(t	δ)s(t	NOUN
ejpam-6267	178	6	)	)	PUNCT
ejpam-6267	178	7	,	,	PUNCT
ejpam-6267	178	8	cdα	cdα	NOUN
ejpam-6267	178	9	0,t(l(t	0,t(l(t	NOUN
ejpam-6267	178	10	)	)	PUNCT
ejpam-6267	178	11	)	)	PUNCT
ejpam-6267	179	1	=	=	SYM
ejpam-6267	179	2	δγs(t)−µl(t	δγs(t)−µl(t	X
ejpam-6267	179	3	)	)	PUNCT
ejpam-6267	179	4	,	,	PUNCT
ejpam-6267	179	5	(	(	PUNCT
ejpam-6267	179	6	13	13	X
ejpam-6267	179	7	)	)	PUNCT
ejpam-6267	179	8	r.	r.	NOUN
ejpam-6267	179	9	belgacem	belgacem	NOUN
ejpam-6267	179	10	et	et	PROPN
ejpam-6267	179	11	al	al	PROPN
ejpam-6267	179	12	.	.	PUNCT
ejpam-6267	179	13	/	/	SYM
ejpam-6267	179	14	eur	eur	PROPN
ejpam-6267	179	15	.	.	PUNCT
ejpam-6267	180	1	j.	j.	PROPN
ejpam-6267	180	2	pure	pure	PROPN
ejpam-6267	180	3	appl	appl	PROPN
ejpam-6267	180	4	.	.	PROPN
ejpam-6267	180	5	math	math	PROPN
ejpam-6267	180	6	,	,	PUNCT
ejpam-6267	180	7	18	18	NUM
ejpam-6267	180	8	(	(	PUNCT
ejpam-6267	180	9	4	4	NUM
ejpam-6267	180	10	)	)	PUNCT
ejpam-6267	180	11	(	(	PUNCT
ejpam-6267	180	12	2025	2025	NUM
ejpam-6267	180	13	)	)	PUNCT
ejpam-6267	180	14	,	,	PUNCT
ejpam-6267	180	15	6267	6267	NUM
ejpam-6267	180	16	8	8	NUM
ejpam-6267	180	17	of	of	ADP
ejpam-6267	180	18	26	26	NUM
ejpam-6267	180	19	subject	subject	NOUN
ejpam-6267	180	20	to	to	ADP
ejpam-6267	180	21	the	the	DET
ejpam-6267	180	22	following	follow	VERB
ejpam-6267	180	23	initial	initial	ADJ
ejpam-6267	180	24	conditions	condition	NOUN
ejpam-6267	180	25	p	p	X
ejpam-6267	180	26	(	(	PUNCT
ejpam-6267	180	27	0	0	NUM
ejpam-6267	180	28	)	)	PUNCT
ejpam-6267	180	29	=	=	SYM
ejpam-6267	181	1	b1,o	b1,o	PROPN
ejpam-6267	181	2	(	(	PUNCT
ejpam-6267	181	3	0	0	NUM
ejpam-6267	181	4	)	)	PUNCT
ejpam-6267	181	5	=	=	SYM
ejpam-6267	181	6	b2,s	b2,s	X
ejpam-6267	181	7	(	(	PUNCT
ejpam-6267	181	8	0	0	NUM
ejpam-6267	181	9	)	)	PUNCT
ejpam-6267	181	10	=	=	SYM
ejpam-6267	181	11	b3,q(0	b3,q(0	PROPN
ejpam-6267	181	12	)	)	PUNCT
ejpam-6267	181	13	=	=	SYM
ejpam-6267	181	14	b4,l(0	b4,l(0	PROPN
ejpam-6267	181	15	)	)	PUNCT
ejpam-6267	181	16	=	=	SYM
ejpam-6267	181	17	b5	b5	PROPN
ejpam-6267	181	18	.	.	PUNCT
ejpam-6267	182	1	(	(	PUNCT
ejpam-6267	182	2	14	14	NUM
ejpam-6267	182	3	)	)	PUNCT
ejpam-6267	182	4	the	the	DET
ejpam-6267	182	5	behavior	behavior	NOUN
ejpam-6267	182	6	of	of	ADP
ejpam-6267	182	7	the	the	DET
ejpam-6267	182	8	model	model	NOUN
ejpam-6267	182	9	dynamics	dynamic	NOUN
ejpam-6267	182	10	under	under	ADP
ejpam-6267	182	11	various	various	ADJ
ejpam-6267	182	12	parameter	parameter	NOUN
ejpam-6267	182	13	settings	setting	NOUN
ejpam-6267	182	14	is	be	AUX
ejpam-6267	182	15	illustrated	illustrate	VERB
ejpam-6267	182	16	in	in	ADP
ejpam-6267	182	17	figure	figure	NOUN
ejpam-6267	182	18	1	1	NUM
ejpam-6267	182	19	.	.	PUNCT
ejpam-6267	182	20	figure	figure	NOUN
ejpam-6267	182	21	1	1	NUM
ejpam-6267	182	22	:	:	PUNCT
ejpam-6267	182	23	a	a	DET
ejpam-6267	182	24	graphical	graphical	ADJ
ejpam-6267	182	25	illustration	illustration	NOUN
ejpam-6267	182	26	of	of	ADP
ejpam-6267	182	27	the	the	DET
ejpam-6267	182	28	envisaged	envisage	VERB
ejpam-6267	182	29	mathematical	mathematical	ADJ
ejpam-6267	182	30	model	model	NOUN
ejpam-6267	182	31	concerning	concern	VERB
ejpam-6267	182	32	the	the	DET
ejpam-6267	182	33	smoking	smoking	NOUN
ejpam-6267	182	34	epidemic	epidemic	NOUN
ejpam-6267	182	35	for	for	ADP
ejpam-6267	182	36	α	α	NOUN
ejpam-6267	182	37	=	=	SYM
ejpam-6267	182	38	1	1	NUM
ejpam-6267	182	39	,	,	PUNCT
ejpam-6267	182	40	the	the	DET
ejpam-6267	182	41	system	system	NOUN
ejpam-6267	182	42	reduces	reduce	VERB
ejpam-6267	182	43	to	to	ADP
ejpam-6267	182	44	ordinary	ordinary	ADJ
ejpam-6267	182	45	differential	differential	ADJ
ejpam-6267	182	46	equations	equation	NOUN
ejpam-6267	182	47	.	.	PUNCT
ejpam-6267	183	1	in	in	ADP
ejpam-6267	183	2	this	this	DET
ejpam-6267	183	3	model	model	NOUN
ejpam-6267	183	4	13	13	NUM
ejpam-6267	183	5	,	,	PUNCT
ejpam-6267	183	6	we	we	PRON
ejpam-6267	183	7	divide	divide	VERB
ejpam-6267	183	8	the	the	DET
ejpam-6267	183	9	total	total	ADJ
ejpam-6267	183	10	population	population	NOUN
ejpam-6267	183	11	size	size	NOUN
ejpam-6267	183	12	at	at	ADP
ejpam-6267	183	13	time	time	NOUN
ejpam-6267	183	14	t	t	PROPN
ejpam-6267	183	15	denoted	denote	VERB
ejpam-6267	183	16	by	by	ADP
ejpam-6267	183	17	n(t	n(t	PROPN
ejpam-6267	183	18	)	)	PUNCT
ejpam-6267	183	19	into	into	ADP
ejpam-6267	183	20	five	five	NUM
ejpam-6267	183	21	subgroups	subgroup	NOUN
ejpam-6267	183	22	:	:	PUNCT
ejpam-6267	183	23	potential	potential	ADJ
ejpam-6267	183	24	smokers	smoker	NOUN
ejpam-6267	183	25	represented	represent	VERB
ejpam-6267	183	26	by	by	ADP
ejpam-6267	183	27	p	p	PROPN
ejpam-6267	183	28	(	(	PUNCT
ejpam-6267	183	29	t	t	PROPN
ejpam-6267	183	30	)	)	PUNCT
ejpam-6267	183	31	,	,	PUNCT
ejpam-6267	183	32	current	current	ADJ
ejpam-6267	183	33	smokers	smoker	NOUN
ejpam-6267	183	34	denoted	denote	VERB
ejpam-6267	183	35	as	as	ADP
ejpam-6267	183	36	s(t	s(t	PROPN
ejpam-6267	183	37	)	)	PUNCT
ejpam-6267	183	38	,	,	PUNCT
ejpam-6267	183	39	occasional	occasional	ADJ
ejpam-6267	183	40	smokers	smoker	NOUN
ejpam-6267	183	41	labeled	label	VERB
ejpam-6267	183	42	o(t	o(t	PRON
ejpam-6267	183	43	)	)	PUNCT
ejpam-6267	183	44	,	,	PUNCT
ejpam-6267	183	45	individuals	individual	NOUN
ejpam-6267	183	46	who	who	PRON
ejpam-6267	183	47	have	have	AUX
ejpam-6267	183	48	permanently	permanently	ADV
ejpam-6267	183	49	quit	quit	VERB
ejpam-6267	183	50	smoking	smoking	NOUN
ejpam-6267	183	51	indicated	indicate	VERB
ejpam-6267	183	52	by	by	ADP
ejpam-6267	183	53	l(t	l(t	NOUN
ejpam-6267	183	54	)	)	PUNCT
ejpam-6267	183	55	,	,	PUNCT
ejpam-6267	183	56	and	and	CCONJ
ejpam-6267	183	57	those	those	PRON
ejpam-6267	183	58	who	who	PRON
ejpam-6267	183	59	have	have	AUX
ejpam-6267	183	60	temporarily	temporarily	ADV
ejpam-6267	183	61	quit	quit	VERB
ejpam-6267	183	62	smoking	smoking	NOUN
ejpam-6267	183	63	represented	represent	VERB
ejpam-6267	183	64	by	by	ADP
ejpam-6267	183	65	q(t).the	q(t).the	DET
ejpam-6267	183	66	parameters	parameter	NOUN
ejpam-6267	183	67	used	use	VERB
ejpam-6267	183	68	in	in	ADP
ejpam-6267	183	69	model	model	NOUN
ejpam-6267	183	70	13	13	NUM
ejpam-6267	183	71	,	,	PUNCT
ejpam-6267	183	72	along	along	ADP
ejpam-6267	183	73	with	with	ADP
ejpam-6267	183	74	their	their	PRON
ejpam-6267	183	75	detailed	detailed	ADJ
ejpam-6267	183	76	descriptions	description	NOUN
ejpam-6267	183	77	,	,	PUNCT
ejpam-6267	183	78	are	be	AUX
ejpam-6267	183	79	listed	list	VERB
ejpam-6267	183	80	in	in	ADP
ejpam-6267	183	81	table	table	NOUN
ejpam-6267	183	82	2	2	NUM
ejpam-6267	183	83	below	below	ADV
ejpam-6267	183	84	.	.	PUNCT
ejpam-6267	184	1	table	table	NOUN
ejpam-6267	184	2	2	2	NUM
ejpam-6267	184	3	:	:	PUNCT
ejpam-6267	184	4	parameters	parameter	NOUN
ejpam-6267	184	5	used	use	VERB
ejpam-6267	184	6	in	in	ADP
ejpam-6267	184	7	the	the	DET
ejpam-6267	184	8	model	model	NOUN
ejpam-6267	184	9	and	and	CCONJ
ejpam-6267	184	10	their	their	PRON
ejpam-6267	184	11	descriptions	description	NOUN
ejpam-6267	184	12	.	.	PUNCT
ejpam-6267	185	1	parameter	parameter	NOUN
ejpam-6267	185	2	description	description	NOUN
ejpam-6267	185	3	λ	λ	PROPN
ejpam-6267	185	4	recruitment	recruitment	NOUN
ejpam-6267	185	5	rate	rate	NOUN
ejpam-6267	185	6	in	in	ADP
ejpam-6267	185	7	population	population	NOUN
ejpam-6267	185	8	p	p	X
ejpam-6267	185	9	β	β	X
ejpam-6267	185	10	effective	effective	ADJ
ejpam-6267	185	11	contact	contact	NOUN
ejpam-6267	185	12	rate	rate	NOUN
ejpam-6267	185	13	between	between	ADP
ejpam-6267	185	14	s	s	PRON
ejpam-6267	185	15	and	and	CCONJ
ejpam-6267	185	16	p	p	X
ejpam-6267	185	17	µ	µ	PRON
ejpam-6267	185	18	natural	natural	ADJ
ejpam-6267	185	19	death	death	NOUN
ejpam-6267	185	20	rate	rate	NOUN
ejpam-6267	185	21	α1	α1	PROPN
ejpam-6267	185	22	rate	rate	NOUN
ejpam-6267	185	23	at	at	ADP
ejpam-6267	185	24	which	which	PRON
ejpam-6267	185	25	occasional	occasional	ADJ
ejpam-6267	185	26	smokers	smoker	NOUN
ejpam-6267	185	27	convert	convert	VERB
ejpam-6267	185	28	to	to	ADP
ejpam-6267	185	29	regular	regular	ADJ
ejpam-6267	185	30	smokers	smoker	NOUN
ejpam-6267	185	31	α2	α2	ADJ
ejpam-6267	185	32	contact	contact	NOUN
ejpam-6267	185	33	rate	rate	NOUN
ejpam-6267	185	34	between	between	ADP
ejpam-6267	185	35	smokers	smoker	NOUN
ejpam-6267	185	36	and	and	CCONJ
ejpam-6267	185	37	temporary	temporary	ADJ
ejpam-6267	185	38	quitters	quitter	NOUN
ejpam-6267	185	39	who	who	PRON
ejpam-6267	185	40	revert	revert	VERB
ejpam-6267	185	41	back	back	ADV
ejpam-6267	185	42	to	to	ADP
ejpam-6267	185	43	smoking	smoke	VERB
ejpam-6267	185	44	γ	γ	NOUN
ejpam-6267	185	45	rate	rate	NOUN
ejpam-6267	185	46	of	of	ADP
ejpam-6267	185	47	quitting	quit	VERB
ejpam-6267	185	48	smoking	smoke	VERB
ejpam-6267	185	49	1−	1−	NUM
ejpam-6267	185	50	δ	δ	PROPN
ejpam-6267	185	51	fraction	fraction	NOUN
ejpam-6267	185	52	of	of	ADP
ejpam-6267	185	53	smokers	smoker	NOUN
ejpam-6267	185	54	who	who	PRON
ejpam-6267	185	55	temporarily	temporarily	ADV
ejpam-6267	185	56	quit	quit	VERB
ejpam-6267	185	57	smoking	smoking	NOUN
ejpam-6267	185	58	(	(	PUNCT
ejpam-6267	185	59	at	at	ADP
ejpam-6267	185	60	rate	rate	NOUN
ejpam-6267	185	61	γ	γ	PROPN
ejpam-6267	185	62	)	)	PUNCT
ejpam-6267	185	63	δ	δ	PROPN
ejpam-6267	185	64	fraction	fraction	NOUN
ejpam-6267	185	65	of	of	ADP
ejpam-6267	185	66	smokers	smoker	NOUN
ejpam-6267	185	67	who	who	PRON
ejpam-6267	185	68	permanently	permanently	ADV
ejpam-6267	185	69	quit	quit	VERB
ejpam-6267	185	70	smoking	smoke	VERB
ejpam-6267	185	71	lemma	lemma	PROPN
ejpam-6267	185	72	4	4	X
ejpam-6267	185	73	.	.	PUNCT
ejpam-6267	185	74	when	when	SCONJ
ejpam-6267	185	75	α	α	PRON
ejpam-6267	185	76	=	=	NOUN
ejpam-6267	185	77	1	1	NUM
ejpam-6267	185	78	in	in	ADP
ejpam-6267	185	79	system	system	NOUN
ejpam-6267	185	80	(	(	PUNCT
ejpam-6267	185	81	13	13	NUM
ejpam-6267	185	82	)	)	PUNCT
ejpam-6267	185	83	,	,	PUNCT
ejpam-6267	185	84	all	all	DET
ejpam-6267	185	85	possible	possible	ADJ
ejpam-6267	185	86	solutions	solution	NOUN
ejpam-6267	185	87	are	be	AUX
ejpam-6267	185	88	bounded	bound	VERB
ejpam-6267	185	89	and	and	CCONJ
ejpam-6267	185	90	confined	confine	VERB
ejpam-6267	185	91	within	within	ADP
ejpam-6267	185	92	the	the	DET
ejpam-6267	185	93	region	region	NOUN
ejpam-6267	185	94	defined	define	VERB
ejpam-6267	185	95	by	by	ADP
ejpam-6267	185	96	:	:	PUNCT
ejpam-6267	185	97	ω	ω	PROPN
ejpam-6267	185	98	=	=	SYM
ejpam-6267	185	99	{	{	PUNCT
ejpam-6267	185	100	(	(	PUNCT
ejpam-6267	185	101	p	p	X
ejpam-6267	185	102	,	,	PUNCT
ejpam-6267	185	103	o	o	NOUN
ejpam-6267	185	104	,	,	PUNCT
ejpam-6267	185	105	s	s	PROPN
ejpam-6267	185	106	,	,	PUNCT
ejpam-6267	185	107	q	q	NOUN
ejpam-6267	185	108	,	,	PUNCT
ejpam-6267	185	109	l	l	NOUN
ejpam-6267	185	110	)	)	PUNCT
ejpam-6267	185	111	∈	∈	PROPN
ejpam-6267	185	112	r5	r5	PROPN
ejpam-6267	186	1	+	+	CCONJ
ejpam-6267	186	2	:	:	PUNCT
ejpam-6267	187	1	p	p	X
ejpam-6267	187	2	+	+	NOUN
ejpam-6267	187	3	o	o	X
ejpam-6267	187	4	+	+	NOUN
ejpam-6267	187	5	s	s	PART
ejpam-6267	187	6	+	+	NOUN
ejpam-6267	187	7	q+l	q+l	NUM
ejpam-6267	187	8	6	6	NUM
ejpam-6267	187	9	λ	λ	NOUN
ejpam-6267	187	10	µ	µ	X
ejpam-6267	187	11	}	}	PUNCT
ejpam-6267	187	12	.	.	PUNCT
ejpam-6267	188	1	(	(	PUNCT
ejpam-6267	188	2	15	15	X
ejpam-6267	188	3	)	)	PUNCT
ejpam-6267	188	4	r.	r.	NOUN
ejpam-6267	188	5	belgacem	belgacem	NOUN
ejpam-6267	188	6	et	et	PROPN
ejpam-6267	188	7	al	al	PROPN
ejpam-6267	188	8	.	.	PUNCT
ejpam-6267	188	9	/	/	SYM
ejpam-6267	188	10	eur	eur	PROPN
ejpam-6267	188	11	.	.	PUNCT
ejpam-6267	189	1	j.	j.	PROPN
ejpam-6267	189	2	pure	pure	PROPN
ejpam-6267	189	3	appl	appl	PROPN
ejpam-6267	189	4	.	.	PROPN
ejpam-6267	189	5	math	math	PROPN
ejpam-6267	189	6	,	,	PUNCT
ejpam-6267	189	7	18	18	NUM
ejpam-6267	189	8	(	(	PUNCT
ejpam-6267	189	9	4	4	NUM
ejpam-6267	189	10	)	)	PUNCT
ejpam-6267	189	11	(	(	PUNCT
ejpam-6267	189	12	2025	2025	NUM
ejpam-6267	189	13	)	)	PUNCT
ejpam-6267	189	14	,	,	PUNCT
ejpam-6267	189	15	6267	6267	NUM
ejpam-6267	189	16	9	9	NUM
ejpam-6267	189	17	of	of	ADP
ejpam-6267	189	18	26	26	NUM
ejpam-6267	189	19	proof	proof	NOUN
ejpam-6267	189	20	.	.	PUNCT
ejpam-6267	190	1	let	let	VERB
ejpam-6267	190	2	(	(	PUNCT
ejpam-6267	190	3	p	p	X
ejpam-6267	190	4	,	,	PUNCT
ejpam-6267	190	5	o	o	NOUN
ejpam-6267	190	6	,	,	PUNCT
ejpam-6267	190	7	s	s	PROPN
ejpam-6267	190	8	,	,	PUNCT
ejpam-6267	190	9	q	q	NOUN
ejpam-6267	190	10	,	,	PUNCT
ejpam-6267	190	11	l	l	NOUN
ejpam-6267	190	12	)	)	PUNCT
ejpam-6267	190	13	∈	∈	PROPN
ejpam-6267	190	14	r5	r5	PROPN
ejpam-6267	190	15	+	+	CCONJ
ejpam-6267	190	16	be	be	AUX
ejpam-6267	190	17	any	any	DET
ejpam-6267	190	18	solution	solution	NOUN
ejpam-6267	190	19	with	with	ADP
ejpam-6267	190	20	not	not	PART
ejpam-6267	190	21	negative	negative	ADJ
ejpam-6267	190	22	subject	subject	NOUN
ejpam-6267	190	23	to	to	ADP
ejpam-6267	190	24	initial	initial	ADJ
ejpam-6267	190	25	conditions	condition	NOUN
ejpam-6267	190	26	,	,	PUNCT
ejpam-6267	190	27	then	then	ADV
ejpam-6267	190	28	:	:	PUNCT
ejpam-6267	190	29	dn(t	dn(t	NUM
ejpam-6267	190	30	)	)	PUNCT
ejpam-6267	190	31	d(t	d(t	PROPN
ejpam-6267	190	32	)	)	PUNCT
ejpam-6267	190	33	=	=	SYM
ejpam-6267	191	1	λ−µn(t	λ−µn(t	PROPN
ejpam-6267	191	2	)	)	PUNCT
ejpam-6267	191	3	,	,	PUNCT
ejpam-6267	191	4	consequently	consequently	ADV
ejpam-6267	191	5	,	,	PUNCT
ejpam-6267	191	6	0	0	NUM
ejpam-6267	191	7	6	6	NUM
ejpam-6267	191	8	n(t	n(t	PROPN
ejpam-6267	191	9	)	)	PUNCT
ejpam-6267	191	10	6	6	NUM
ejpam-6267	191	11	λ	λ	PROPN
ejpam-6267	191	12	µ	µ	X
ejpam-6267	191	13	+	+	NOUN
ejpam-6267	191	14	n(0)e−µt	n(0)e−µt	ADJ
ejpam-6267	191	15	,	,	PUNCT
ejpam-6267	191	16	where	where	SCONJ
ejpam-6267	191	17	n(0	n(0	PROPN
ejpam-6267	191	18	)	)	PUNCT
ejpam-6267	191	19	represents	represent	VERB
ejpam-6267	191	20	the	the	DET
ejpam-6267	191	21	initial	initial	ADJ
ejpam-6267	191	22	value	value	NOUN
ejpam-6267	191	23	of	of	ADP
ejpam-6267	191	24	n(t	n(t	PROPN
ejpam-6267	191	25	)	)	PUNCT
ejpam-6267	191	26	.	.	PUNCT
ejpam-6267	192	1	thus	thus	ADV
ejpam-6267	192	2	,	,	PUNCT
ejpam-6267	192	3	0	0	NUM
ejpam-6267	192	4	6	6	NUM
ejpam-6267	192	5	n(t	n(t	PROPN
ejpam-6267	192	6	)	)	PUNCT
ejpam-6267	192	7	6	6	NUM
ejpam-6267	192	8	λ	λ	NOUN
ejpam-6267	192	9	µ	µ	NOUN
ejpam-6267	192	10	as	as	ADP
ejpam-6267	192	11	t	t	PROPN
ejpam-6267	192	12	→	→	SYM
ejpam-6267	192	13	∞.	∞.	PROPN
ejpam-6267	192	14	therefore	therefore	ADV
ejpam-6267	192	15	,	,	PUNCT
ejpam-6267	192	16	all	all	DET
ejpam-6267	192	17	possible	possible	ADJ
ejpam-6267	192	18	solutions	solution	NOUN
ejpam-6267	192	19	of	of	ADP
ejpam-6267	192	20	the	the	DET
ejpam-6267	192	21	system	system	NOUN
ejpam-6267	192	22	lie	lie	VERB
ejpam-6267	192	23	within	within	ADP
ejpam-6267	192	24	the	the	DET
ejpam-6267	192	25	region	region	NOUN
ejpam-6267	192	26	ω	ω	PROPN
ejpam-6267	192	27	.	.	PUNCT
ejpam-6267	193	1	hence	hence	ADV
ejpam-6267	193	2	,	,	PUNCT
ejpam-6267	193	3	ω	ω	PROPN
ejpam-6267	193	4	is	be	AUX
ejpam-6267	193	5	positively	positively	ADV
ejpam-6267	193	6	invariant	invariant	ADJ
ejpam-6267	193	7	.	.	PUNCT
ejpam-6267	194	1	combining	combine	VERB
ejpam-6267	194	2	the	the	DET
ejpam-6267	194	3	equations	equation	NOUN
ejpam-6267	194	4	from	from	ADP
ejpam-6267	194	5	the	the	DET
ejpam-6267	194	6	(	(	PUNCT
ejpam-6267	194	7	13	13	NUM
ejpam-6267	194	8	)	)	PUNCT
ejpam-6267	194	9	,	,	PUNCT
ejpam-6267	194	10	and	and	CCONJ
ejpam-6267	194	11	considering	consider	VERB
ejpam-6267	194	12	the	the	DET
ejpam-6267	194	13	linearity	linearity	NOUN
ejpam-6267	194	14	of	of	ADP
ejpam-6267	194	15	cdα	cdα	PROPN
ejpam-6267	194	16	0,t	0,t	PROPN
ejpam-6267	194	17	,	,	PUNCT
ejpam-6267	194	18	we	we	PRON
ejpam-6267	194	19	derive	derive	VERB
ejpam-6267	194	20	:	:	PUNCT
ejpam-6267	194	21	cdα	cdα	NOUN
ejpam-6267	194	22	0,t(n	0,t(n	X
ejpam-6267	194	23	(	(	PUNCT
ejpam-6267	194	24	t	t	PROPN
ejpam-6267	194	25	)	)	PUNCT
ejpam-6267	194	26	)	)	PUNCT
ejpam-6267	194	27	=	=	SYM
ejpam-6267	195	1	λ−µn(t	λ−µn(t	PROPN
ejpam-6267	195	2	)	)	PUNCT
ejpam-6267	195	3	.	.	PUNCT
ejpam-6267	196	1	(	(	PUNCT
ejpam-6267	196	2	16	16	NUM
ejpam-6267	196	3	)	)	PUNCT
ejpam-6267	196	4	when	when	SCONJ
ejpam-6267	196	5	the	the	DET
ejpam-6267	196	6	initial	initial	ADJ
ejpam-6267	196	7	conditions	condition	NOUN
ejpam-6267	196	8	for	for	ADP
ejpam-6267	196	9	the	the	DET
ejpam-6267	196	10	model	model	NOUN
ejpam-6267	196	11	(	(	PUNCT
ejpam-6267	196	12	13	13	NUM
ejpam-6267	196	13	)	)	PUNCT
ejpam-6267	196	14	are	be	AUX
ejpam-6267	196	15	positive	positive	ADJ
ejpam-6267	196	16	,	,	PUNCT
ejpam-6267	196	17	it	it	PRON
ejpam-6267	196	18	has	have	VERB
ejpam-6267	196	19	a	a	DET
ejpam-6267	196	20	unique	unique	ADJ
ejpam-6267	196	21	positive	positive	ADJ
ejpam-6267	196	22	solution	solution	NOUN
ejpam-6267	196	23	(	(	PUNCT
ejpam-6267	196	24	see	see	VERB
ejpam-6267	196	25	the	the	DET
ejpam-6267	196	26	work	work	NOUN
ejpam-6267	196	27	of	of	ADP
ejpam-6267	196	28	[	[	X
ejpam-6267	196	29	28	28	NUM
ejpam-6267	196	30	]	]	NUM
ejpam-6267	196	31	)	)	PUNCT
ejpam-6267	196	32	.	.	PUNCT
ejpam-6267	197	1	we	we	PRON
ejpam-6267	197	2	also	also	ADV
ejpam-6267	197	3	address	address	VERB
ejpam-6267	197	4	in	in	ADP
ejpam-6267	197	5	the	the	DET
ejpam-6267	197	6	following	following	NOUN
ejpam-6267	197	7	that	that	DET
ejpam-6267	197	8	system	system	NOUN
ejpam-6267	197	9	(	(	PUNCT
ejpam-6267	197	10	13	13	NUM
ejpam-6267	197	11	)	)	PUNCT
ejpam-6267	197	12	has	have	VERB
ejpam-6267	197	13	two	two	NUM
ejpam-6267	197	14	equilibrium	equilibrium	NOUN
ejpam-6267	197	15	,	,	PUNCT
ejpam-6267	197	16	the	the	DET
ejpam-6267	197	17	smoking	smoking	NOUN
ejpam-6267	197	18	-	-	PUNCT
ejpam-6267	197	19	free	free	ADJ
ejpam-6267	197	20	equilibrium	equilibrium	NOUN
ejpam-6267	197	21	(	(	PUNCT
ejpam-6267	197	22	sfe	sfe	PROPN
ejpam-6267	197	23	)	)	PUNCT
ejpam-6267	197	24	and	and	CCONJ
ejpam-6267	197	25	the	the	DET
ejpam-6267	197	26	smoking	smoking	NOUN
ejpam-6267	197	27	-	-	PUNCT
ejpam-6267	197	28	present	present	ADJ
ejpam-6267	197	29	equilibrium	equilibrium	NOUN
ejpam-6267	197	30	(	(	PUNCT
ejpam-6267	197	31	spe	spe	PROPN
ejpam-6267	197	32	)	)	PUNCT
ejpam-6267	197	33	.	.	PUNCT
ejpam-6267	198	1	then	then	ADV
ejpam-6267	198	2	,	,	PUNCT
ejpam-6267	198	3	the	the	DET
ejpam-6267	198	4	local	local	ADJ
ejpam-6267	198	5	and	and	CCONJ
ejpam-6267	198	6	global	global	ADJ
ejpam-6267	198	7	stability	stability	NOUN
ejpam-6267	198	8	results	result	NOUN
ejpam-6267	198	9	of	of	ADP
ejpam-6267	198	10	the	the	DET
ejpam-6267	198	11	equilibrium	equilibrium	NOUN
ejpam-6267	198	12	are	be	AUX
ejpam-6267	198	13	also	also	ADV
ejpam-6267	198	14	obtained	obtain	VERB
ejpam-6267	198	15	.	.	PUNCT
ejpam-6267	199	1	first	first	ADV
ejpam-6267	199	2	,	,	PUNCT
ejpam-6267	199	3	employing	employ	VERB
ejpam-6267	199	4	the	the	DET
ejpam-6267	199	5	next	next	ADJ
ejpam-6267	199	6	-	-	PUNCT
ejpam-6267	199	7	generation	generation	NOUN
ejpam-6267	199	8	matrix	matrix	NOUN
ejpam-6267	199	9	method	method	NOUN
ejpam-6267	199	10	as	as	SCONJ
ejpam-6267	199	11	formulated	formulate	VERB
ejpam-6267	199	12	in	in	ADP
ejpam-6267	199	13	[	[	X
ejpam-6267	199	14	?	?	PUNCT
ejpam-6267	200	1	]	]	X
ejpam-6267	200	2	,	,	PUNCT
ejpam-6267	200	3	we	we	PRON
ejpam-6267	200	4	analyze	analyze	VERB
ejpam-6267	200	5	the	the	DET
ejpam-6267	200	6	existence	existence	NOUN
ejpam-6267	200	7	of	of	ADP
ejpam-6267	200	8	the	the	DET
ejpam-6267	200	9	point	point	NOUN
ejpam-6267	200	10	(	(	PUNCT
ejpam-6267	200	11	sfe	sfe	PROPN
ejpam-6267	200	12	)	)	PUNCT
ejpam-6267	200	13	,	,	PUNCT
ejpam-6267	200	14	let	let	VERB
ejpam-6267	200	15	y	y	PROPN
ejpam-6267	200	16	=	=	PUNCT
ejpam-6267	200	17	(	(	PUNCT
ejpam-6267	200	18	o	o	NOUN
ejpam-6267	200	19	,	,	PUNCT
ejpam-6267	200	20	s	s	PROPN
ejpam-6267	200	21	,	,	PUNCT
ejpam-6267	200	22	q	q	NOUN
ejpam-6267	200	23	,	,	PUNCT
ejpam-6267	200	24	l	l	NOUN
ejpam-6267	200	25	,	,	PUNCT
ejpam-6267	200	26	p	p	NOUN
ejpam-6267	200	27	)	)	PUNCT
ejpam-6267	200	28	t	t	NOUN
ejpam-6267	200	29	,	,	PUNCT
ejpam-6267	200	30	whereby	whereby	SCONJ
ejpam-6267	200	31	the	the	DET
ejpam-6267	200	32	model	model	NOUN
ejpam-6267	200	33	can	can	AUX
ejpam-6267	200	34	be	be	AUX
ejpam-6267	200	35	expressed	express	VERB
ejpam-6267	200	36	as	as	ADP
ejpam-6267	200	37	:	:	PUNCT
ejpam-6267	200	38	cdα	cdα	NOUN
ejpam-6267	200	39	0,t(y	0,t(y	NUM
ejpam-6267	200	40	)	)	PUNCT
ejpam-6267	201	1	=	=	SYM
ejpam-6267	201	2	f(y)+h(y	f(y)+h(y	ADJ
ejpam-6267	201	3	)	)	PUNCT
ejpam-6267	201	4	,	,	PUNCT
ejpam-6267	201	5	(	(	PUNCT
ejpam-6267	201	6	17	17	NUM
ejpam-6267	201	7	)	)	PUNCT
ejpam-6267	201	8	where	where	SCONJ
ejpam-6267	201	9	f(y	f(y	NOUN
ejpam-6267	201	10	)	)	PUNCT
ejpam-6267	201	11	=	=	PUNCT
ejpam-6267	202	1			ADJ
ejpam-6267	202	2	βp	βp	INTJ
ejpam-6267	202	3	(	(	PUNCT
ejpam-6267	202	4	t)s(t	t)s(t	NOUN
ejpam-6267	202	5	)	)	PUNCT
ejpam-6267	202	6	0	0	NUM
ejpam-6267	202	7	0	0	NUM
ejpam-6267	202	8	0	0	NUM
ejpam-6267	202	9	0	0	NUM
ejpam-6267	202	10			NOUN
ejpam-6267	202	11	,	,	PUNCT
ejpam-6267	202	12	(	(	PUNCT
ejpam-6267	202	13	18	18	NUM
ejpam-6267	202	14	)	)	PUNCT
ejpam-6267	202	15	and	and	CCONJ
ejpam-6267	202	16	h(y	h(y	ADV
ejpam-6267	202	17	)	)	PUNCT
ejpam-6267	202	18	=	=	SYM
ejpam-6267	202	19			ADJ
ejpam-6267	202	20	−(α1	−(α1	VERB
ejpam-6267	202	21	+	+	NOUN
ejpam-6267	202	22	µ)o	µ)o	ADP
ejpam-6267	202	23	α1o	α1o	NOUN
ejpam-6267	202	24	+	+	SYM
ejpam-6267	202	25	α2sq−	α2sq−	NUM
ejpam-6267	202	26	(	(	PUNCT
ejpam-6267	202	27	µ+γ)s	µ+γ)s	X
ejpam-6267	202	28	−α2sq−µq+γ	−α2sq−µq+γ	PRON
ejpam-6267	202	29	−	−	PROPN
ejpam-6267	202	30	δγs	δγs	PROPN
ejpam-6267	202	31	δγs	δγs	PROPN
ejpam-6267	202	32	−µl	−µl	PROPN
ejpam-6267	202	33	λ−βps	λ−βp	NOUN
ejpam-6267	202	34	−µp	−µp	X
ejpam-6267	202	35			PROPN
ejpam-6267	202	36	.	.	PUNCT
ejpam-6267	203	1	(	(	PUNCT
ejpam-6267	203	2	19	19	NUM
ejpam-6267	203	3	)	)	PUNCT
ejpam-6267	203	4	by	by	ADP
ejpam-6267	203	5	replacing	replace	VERB
ejpam-6267	203	6	s	s	NOUN
ejpam-6267	203	7	=	=	NOUN
ejpam-6267	203	8	0	0	NUM
ejpam-6267	203	9	in	in	ADP
ejpam-6267	203	10	(	(	PUNCT
ejpam-6267	203	11	13	13	NUM
ejpam-6267	203	12	)	)	PUNCT
ejpam-6267	203	13	,	,	PUNCT
ejpam-6267	203	14	we	we	PRON
ejpam-6267	203	15	obtian	obtian	VERB
ejpam-6267	203	16	the	the	DET
ejpam-6267	203	17	following	follow	VERB
ejpam-6267	203	18	result	result	NOUN
ejpam-6267	203	19	.	.	PUNCT
ejpam-6267	204	1	r.	r.	PROPN
ejpam-6267	204	2	belgacem	belgacem	PROPN
ejpam-6267	204	3	et	et	PROPN
ejpam-6267	204	4	al	al	PROPN
ejpam-6267	204	5	.	.	PUNCT
ejpam-6267	204	6	/	/	SYM
ejpam-6267	204	7	eur	eur	PROPN
ejpam-6267	204	8	.	.	PUNCT
ejpam-6267	205	1	j.	j.	PROPN
ejpam-6267	205	2	pure	pure	PROPN
ejpam-6267	205	3	appl	appl	PROPN
ejpam-6267	205	4	.	.	PROPN
ejpam-6267	205	5	math	math	PROPN
ejpam-6267	205	6	,	,	PUNCT
ejpam-6267	205	7	18	18	NUM
ejpam-6267	205	8	(	(	PUNCT
ejpam-6267	205	9	4	4	NUM
ejpam-6267	205	10	)	)	PUNCT
ejpam-6267	205	11	(	(	PUNCT
ejpam-6267	205	12	2025	2025	NUM
ejpam-6267	205	13	)	)	PUNCT
ejpam-6267	205	14	,	,	PUNCT
ejpam-6267	205	15	6267	6267	NUM
ejpam-6267	205	16	10	10	NUM
ejpam-6267	205	17	of	of	ADP
ejpam-6267	205	18	26	26	NUM
ejpam-6267	205	19	proposition	proposition	NOUN
ejpam-6267	205	20	1	1	NUM
ejpam-6267	205	21	.	.	PUNCT
ejpam-6267	206	1	for	for	ADP
ejpam-6267	206	2	the	the	DET
ejpam-6267	206	3	our	our	PRON
ejpam-6267	206	4	model	model	NOUN
ejpam-6267	206	5	(	(	PUNCT
ejpam-6267	206	6	13	13	NUM
ejpam-6267	206	7	)	)	PUNCT
ejpam-6267	206	8	,	,	PUNCT
ejpam-6267	206	9	an	an	DET
ejpam-6267	206	10	sep	sep	NOUN
ejpam-6267	206	11	exists	exist	VERB
ejpam-6267	206	12	,	,	PUNCT
ejpam-6267	206	13	denoted	denote	VERB
ejpam-6267	206	14	by	by	ADP
ejpam-6267	206	15	e0	e0	PROPN
ejpam-6267	206	16	,	,	PUNCT
ejpam-6267	206	17	with	with	ADP
ejpam-6267	206	18	e0	e0	PROPN
ejpam-6267	206	19	=	=	SYM
ejpam-6267	206	20	(	(	PUNCT
ejpam-6267	206	21	λ	λ	X
ejpam-6267	206	22	µ	µ	PRON
ejpam-6267	206	23	,	,	PUNCT
ejpam-6267	206	24	0,0,0,0	0,0,0,0	NUM
ejpam-6267	206	25	)	)	PUNCT
ejpam-6267	206	26	.	.	PUNCT
ejpam-6267	207	1	proposition	proposition	NOUN
ejpam-6267	207	2	2	2	NUM
ejpam-6267	207	3	.	.	PUNCT
ejpam-6267	208	1	the	the	DET
ejpam-6267	208	2	reproduction	reproduction	NOUN
ejpam-6267	208	3	number	number	NOUN
ejpam-6267	208	4	,	,	PUNCT
ejpam-6267	208	5	r0	r0	NOUN
ejpam-6267	208	6	,	,	PUNCT
ejpam-6267	208	7	is	be	AUX
ejpam-6267	208	8	determined	determine	VERB
ejpam-6267	208	9	as	as	ADP
ejpam-6267	208	10	:	:	PUNCT
ejpam-6267	208	11	r0	r0	NOUN
ejpam-6267	208	12	=	=	SYM
ejpam-6267	208	13	ρ(−fv	ρ(−fv	NOUN
ejpam-6267	208	14	−1	−1	NOUN
ejpam-6267	208	15	)	)	PUNCT
ejpam-6267	209	1	=	=	SYM
ejpam-6267	209	2	α1βp0	α1βp0	ADJ
ejpam-6267	209	3	(	(	PUNCT
ejpam-6267	209	4	µ+γ)(µ+α1	µ+γ)(µ+α1	ADJ
ejpam-6267	209	5	)	)	PUNCT
ejpam-6267	209	6	,	,	PUNCT
ejpam-6267	209	7	(	(	PUNCT
ejpam-6267	209	8	20	20	NUM
ejpam-6267	209	9	)	)	PUNCT
ejpam-6267	210	1	where	where	SCONJ
ejpam-6267	210	2	:	:	PUNCT
ejpam-6267	210	3	f	f	PROPN
ejpam-6267	210	4	=	=	SYM
ejpam-6267	210	5	df(e0	df(e0	PROPN
ejpam-6267	210	6	)	)	PUNCT
ejpam-6267	210	7	=	=	SYM
ejpam-6267	210	8			ADJ
ejpam-6267	210	9	0	0	NUM
ejpam-6267	210	10	0	0	NUM
ejpam-6267	210	11	βp0	βp0	NOUN
ejpam-6267	210	12	0	0	NUM
ejpam-6267	210	13	0	0	NUM
ejpam-6267	210	14	0	0	NUM
ejpam-6267	210	15	0	0	NUM
ejpam-6267	210	16	0	0	NUM
ejpam-6267	210	17	0	0	NUM
ejpam-6267	210	18	0	0	NUM
ejpam-6267	210	19	0	0	NUM
ejpam-6267	210	20	0	0	NUM
ejpam-6267	210	21	0	0	NUM
ejpam-6267	210	22	0	0	NUM
ejpam-6267	210	23	0	0	NUM
ejpam-6267	210	24	0	0	NUM
ejpam-6267	210	25	0	0	NUM
ejpam-6267	210	26	0	0	NUM
ejpam-6267	210	27	0	0	NUM
ejpam-6267	210	28	0	0	NUM
ejpam-6267	210	29	0	0	NUM
ejpam-6267	210	30	0	0	NUM
ejpam-6267	210	31	0	0	NUM
ejpam-6267	210	32	0	0	NUM
ejpam-6267	210	33	0	0	NUM
ejpam-6267	210	34			NOUN
ejpam-6267	210	35	,	,	PUNCT
ejpam-6267	210	36	(	(	PUNCT
ejpam-6267	210	37	21	21	NUM
ejpam-6267	210	38	)	)	PUNCT
ejpam-6267	210	39	v	v	NOUN
ejpam-6267	210	40	=	=	SYM
ejpam-6267	210	41	dh(e0	dh(e0	NOUN
ejpam-6267	210	42	)	)	PUNCT
ejpam-6267	210	43	=	=	SYM
ejpam-6267	210	44			ADJ
ejpam-6267	210	45	0	0	NUM
ejpam-6267	210	46	−(α1	−(α1	NUM
ejpam-6267	210	47	+	+	NOUN
ejpam-6267	210	48	µ	µ	NOUN
ejpam-6267	210	49	)	)	PUNCT
ejpam-6267	210	50	0	0	NUM
ejpam-6267	210	51	0	0	NUM
ejpam-6267	210	52	0	0	NUM
ejpam-6267	210	53	0	0	NUM
ejpam-6267	210	54	α1	α1	PROPN
ejpam-6267	210	55	−(µ+γ	−(µ+γ	PROPN
ejpam-6267	210	56	)	)	PUNCT
ejpam-6267	210	57	0	0	NUM
ejpam-6267	210	58	0	0	NUM
ejpam-6267	210	59	0	0	NUM
ejpam-6267	210	60	0	0	NUM
ejpam-6267	210	61	γ(1−	γ(1−	PROPN
ejpam-6267	210	62	δ	δ	PROPN
ejpam-6267	210	63	)	)	PUNCT
ejpam-6267	210	64	−µ	−µ	NOUN
ejpam-6267	210	65	0	0	NUM
ejpam-6267	210	66	0	0	NUM
ejpam-6267	210	67	0	0	NUM
ejpam-6267	211	1	γδ	γδ	ADP
ejpam-6267	211	2	0	0	NUM
ejpam-6267	211	3	−µ	−µ	NOUN
ejpam-6267	211	4	−µ	−µ	NOUN
ejpam-6267	211	5	0	0	PUNCT
ejpam-6267	212	1	−βp0	−βp0	ADV
ejpam-6267	212	2	0	0	NUM
ejpam-6267	212	3	0	0	NUM
ejpam-6267	212	4			NOUN
ejpam-6267	212	5	.	.	PUNCT
ejpam-6267	213	1	(	(	PUNCT
ejpam-6267	213	2	22	22	NUM
ejpam-6267	213	3	)	)	PUNCT
ejpam-6267	213	4	here	here	ADV
ejpam-6267	213	5	,	,	PUNCT
ejpam-6267	213	6	dh(e0	dh(e0	NOUN
ejpam-6267	213	7	)	)	PUNCT
ejpam-6267	213	8	and	and	CCONJ
ejpam-6267	213	9	df(e0	df(e0	NOUN
ejpam-6267	213	10	)	)	PUNCT
ejpam-6267	213	11	denote	denote	VERB
ejpam-6267	213	12	the	the	DET
ejpam-6267	213	13	jacobian	jacobian	ADJ
ejpam-6267	213	14	matrices	matrix	NOUN
ejpam-6267	213	15	of	of	ADP
ejpam-6267	213	16	h(y	h(y	NOUN
ejpam-6267	213	17	)	)	PUNCT
ejpam-6267	213	18	and	and	CCONJ
ejpam-6267	213	19	f(y	f(y	NOUN
ejpam-6267	213	20	)	)	PUNCT
ejpam-6267	213	21	evaluated	evaluate	VERB
ejpam-6267	213	22	at	at	ADP
ejpam-6267	213	23	e0	e0	PROPN
ejpam-6267	213	24	respectively	respectively	ADV
ejpam-6267	213	25	.	.	PUNCT
ejpam-6267	214	1	proof	proof	NOUN
ejpam-6267	214	2	.	.	PUNCT
ejpam-6267	215	1	a	a	DET
ejpam-6267	215	2	simple	simple	ADJ
ejpam-6267	215	3	calculation	calculation	NOUN
ejpam-6267	215	4	gives	give	VERB
ejpam-6267	215	5	:	:	PUNCT
ejpam-6267	215	6	21	21	NUM
ejpam-6267	215	7	and	and	CCONJ
ejpam-6267	215	8	22	22	NUM
ejpam-6267	215	9	(	(	PUNCT
ejpam-6267	215	10	see	see	VERB
ejpam-6267	215	11	[	[	X
ejpam-6267	215	12	?	?	PUNCT
ejpam-6267	215	13	]	]	PUNCT
ejpam-6267	215	14	)	)	PUNCT
ejpam-6267	215	15	.	.	PUNCT
ejpam-6267	216	1	so	so	ADV
ejpam-6267	216	2	,	,	PUNCT
ejpam-6267	216	3	v	v	NOUN
ejpam-6267	216	4	=	=	SYM
ejpam-6267	216	5	dv(e0	dv(e0	NOUN
ejpam-6267	216	6	)	)	PUNCT
ejpam-6267	216	7	=	=	PUNCT
ejpam-6267	216	8	−α1	−α1	NUM
ejpam-6267	216	9	−µ	−µ	NOUN
ejpam-6267	216	10	0	0	NUM
ejpam-6267	216	11	0	0	NUM
ejpam-6267	216	12	α1	α1	PROPN
ejpam-6267	216	13	−µ−γ	−µ−γ	ADV
ejpam-6267	216	14	0	0	NUM
ejpam-6267	216	15	0	0	NUM
ejpam-6267	216	16	γ	γ	NOUN
ejpam-6267	216	17	−γδ	−γδ	DET
ejpam-6267	216	18	−µ	−µ	NOUN
ejpam-6267	216	19			PROPN
ejpam-6267	216	20	,	,	PUNCT
ejpam-6267	216	21	f	f	PROPN
ejpam-6267	216	22	=	=	SYM
ejpam-6267	216	23	df(e0	df(e0	PROPN
ejpam-6267	216	24	)	)	PUNCT
ejpam-6267	216	25	=	=	SYM
ejpam-6267	216	26	0	0	NOUN
ejpam-6267	216	27	βp0	βp0	NOUN
ejpam-6267	216	28	0	0	NUM
ejpam-6267	216	29	0	0	NUM
ejpam-6267	216	30	0	0	NUM
ejpam-6267	216	31	0	0	NUM
ejpam-6267	216	32	0	0	NUM
ejpam-6267	216	33	0	0	NUM
ejpam-6267	216	34	0	0	NUM
ejpam-6267	217	1			NOUN
ejpam-6267	217	2	,	,	PUNCT
ejpam-6267	217	3	v	v	NUM
ejpam-6267	217	4	−1	−1	NOUN
ejpam-6267	217	5	=	=	SYM
ejpam-6267	217	6			NOUN
ejpam-6267	217	7	−	−	NOUN
ejpam-6267	217	8	1	1	NUM
ejpam-6267	217	9	µ+α1	µ+α1	NOUN
ejpam-6267	217	10	0	0	NUM
ejpam-6267	217	11	0	0	NUM
ejpam-6267	218	1	−	−	PROPN
ejpam-6267	218	2	α1	α1	PROPN
ejpam-6267	218	3	(	(	PUNCT
ejpam-6267	218	4	µ+γ)(µ+α1	µ+γ)(µ+α1	ADJ
ejpam-6267	218	5	)	)	PUNCT
ejpam-6267	218	6	−	−	PROPN
ejpam-6267	218	7	1	1	NUM
ejpam-6267	218	8	(	(	PUNCT
ejpam-6267	218	9	µ+γ	µ+γ	NUM
ejpam-6267	218	10	)	)	PUNCT
ejpam-6267	218	11	0	0	NUM
ejpam-6267	219	1	−	−	PROPN
ejpam-6267	219	2	α1γ(1−	α1γ(1−	PROPN
ejpam-6267	219	3	δ	δ	PROPN
ejpam-6267	219	4	)	)	PUNCT
ejpam-6267	219	5	µ(µ+γ)(µ+α1	µ(µ+γ)(µ+α1	PROPN
ejpam-6267	219	6	)	)	PUNCT
ejpam-6267	219	7	−	−	PROPN
ejpam-6267	219	8	γ(1−	γ(1−	PROPN
ejpam-6267	219	9	δ	δ	PROPN
ejpam-6267	219	10	)	)	PUNCT
ejpam-6267	219	11	µ(µ+γ	µ(µ+γ	NUM
ejpam-6267	219	12	)	)	PUNCT
ejpam-6267	219	13	−	−	PROPN
ejpam-6267	219	14	1	1	NUM
ejpam-6267	219	15	µ	µ	NOUN
ejpam-6267	219	16			NOUN
ejpam-6267	219	17	,	,	PUNCT
ejpam-6267	219	18	and	and	CCONJ
ejpam-6267	219	19	−fv	−fv	ADV
ejpam-6267	219	20	−1	−1	NOUN
ejpam-6267	219	21	=	=	NOUN
ejpam-6267	219	22			X
ejpam-6267	219	23	α1βp0	α1βp0	ADV
ejpam-6267	219	24	(	(	PUNCT
ejpam-6267	219	25	µ+γ)(µ+α1	µ+γ)(µ+α1	ADJ
ejpam-6267	219	26	βp0	βp0	VERB
ejpam-6267	219	27	µ+γ	µ+γ	NUM
ejpam-6267	219	28	0	0	NUM
ejpam-6267	219	29	0	0	NUM
ejpam-6267	219	30	0	0	NUM
ejpam-6267	219	31	0	0	NUM
ejpam-6267	219	32	0	0	NUM
ejpam-6267	219	33	0	0	NUM
ejpam-6267	219	34	0	0	NUM
ejpam-6267	219	35			NOUN
ejpam-6267	219	36	,	,	PUNCT
ejpam-6267	219	37	then	then	ADV
ejpam-6267	219	38	:	:	PUNCT
ejpam-6267	219	39	r0	r0	NOUN
ejpam-6267	219	40	=	=	PUNCT
ejpam-6267	219	41	ρ(−fv	ρ(−fv	NOUN
ejpam-6267	219	42	−1	−1	NOUN
ejpam-6267	219	43	)	)	PUNCT
ejpam-6267	219	44	=	=	SYM
ejpam-6267	219	45	α1βp0	α1βp0	ADJ
ejpam-6267	219	46	(	(	PUNCT
ejpam-6267	219	47	µ+γ)(µ+α1	µ+γ)(µ+α1	ADJ
ejpam-6267	219	48	)	)	PUNCT
ejpam-6267	219	49	.	.	PUNCT
ejpam-6267	220	1	r.	r.	PROPN
ejpam-6267	220	2	belgacem	belgacem	PROPN
ejpam-6267	220	3	et	et	PROPN
ejpam-6267	220	4	al	al	PROPN
ejpam-6267	220	5	.	.	PUNCT
ejpam-6267	220	6	/	/	SYM
ejpam-6267	220	7	eur	eur	PROPN
ejpam-6267	220	8	.	.	PUNCT
ejpam-6267	221	1	j.	j.	PROPN
ejpam-6267	221	2	pure	pure	PROPN
ejpam-6267	221	3	appl	appl	PROPN
ejpam-6267	221	4	.	.	PROPN
ejpam-6267	221	5	math	math	PROPN
ejpam-6267	221	6	,	,	PUNCT
ejpam-6267	221	7	18	18	NUM
ejpam-6267	221	8	(	(	PUNCT
ejpam-6267	221	9	4	4	NUM
ejpam-6267	221	10	)	)	PUNCT
ejpam-6267	221	11	(	(	PUNCT
ejpam-6267	221	12	2025	2025	NUM
ejpam-6267	221	13	)	)	PUNCT
ejpam-6267	221	14	,	,	PUNCT
ejpam-6267	221	15	6267	6267	NUM
ejpam-6267	221	16	11	11	NUM
ejpam-6267	221	17	of	of	ADP
ejpam-6267	221	18	26	26	NUM
ejpam-6267	221	19	proposition	proposition	NOUN
ejpam-6267	221	20	3	3	NUM
ejpam-6267	221	21	.	.	X
ejpam-6267	222	1	for	for	ADP
ejpam-6267	222	2	the	the	DET
ejpam-6267	222	3	model(13	model(13	NOUN
ejpam-6267	222	4	)	)	PUNCT
ejpam-6267	222	5	there	there	PRON
ejpam-6267	222	6	exists	exist	VERB
ejpam-6267	222	7	e∗	e∗	PROPN
ejpam-6267	222	8	the	the	DET
ejpam-6267	222	9	spe	spe	NOUN
ejpam-6267	222	10	,	,	PUNCT
ejpam-6267	222	11	with	with	ADP
ejpam-6267	222	12	e∗	e∗	NOUN
ejpam-6267	222	13	=	=	SYM
ejpam-6267	222	14	(	(	PUNCT
ejpam-6267	222	15	p	p	NOUN
ejpam-6267	222	16	∗,o∗,s∗,q∗,l∗	∗,o∗,s∗,q∗,l∗	NOUN
ejpam-6267	222	17	)	)	PUNCT
ejpam-6267	222	18	,	,	PUNCT
ejpam-6267	222	19	where	where	SCONJ
ejpam-6267	222	20	:	:	PUNCT
ejpam-6267	222	21	p	p	NOUN
ejpam-6267	222	22	∗	∗	NOUN
ejpam-6267	222	23	=	=	PUNCT
ejpam-6267	223	1	λ	λ	X
ejpam-6267	223	2	µ+βs∗	µ+βs∗	PROPN
ejpam-6267	223	3	.	.	PUNCT
ejpam-6267	224	1	o∗	o∗	PROPN
ejpam-6267	224	2	=	=	PUNCT
ejpam-6267	224	3	βλs∗	βλs∗	PROPN
ejpam-6267	224	4	(	(	PUNCT
ejpam-6267	224	5	µ+βs∗)(µ+α1	µ+βs∗)(µ+α1	PROPN
ejpam-6267	224	6	)	)	PUNCT
ejpam-6267	224	7	.	.	PUNCT
ejpam-6267	225	1	q∗	q∗	NOUN
ejpam-6267	225	2	=	=	PUNCT
ejpam-6267	225	3	γs∗	γs∗	ADV
ejpam-6267	225	4	−s∗γδ	−s∗γδ	NOUN
ejpam-6267	225	5	α2s∗	α2s∗	PROPN
ejpam-6267	225	6	+	+	NOUN
ejpam-6267	225	7	µ	µ	X
ejpam-6267	225	8	.	.	PUNCT
ejpam-6267	226	1	l∗	l∗	PROPN
ejpam-6267	226	2	=	=	PUNCT
ejpam-6267	226	3	δγs∗	δγs∗	PROPN
ejpam-6267	226	4	µ	µ	X
ejpam-6267	226	5	.	.	PUNCT
ejpam-6267	227	1	(	(	PUNCT
ejpam-6267	227	2	23	23	NUM
ejpam-6267	227	3	)	)	PUNCT
ejpam-6267	227	4	with	with	ADP
ejpam-6267	227	5	s∗	s∗	PROPN
ejpam-6267	227	6	satisfies	satisfy	VERB
ejpam-6267	227	7	the	the	DET
ejpam-6267	227	8	equation	equation	NOUN
ejpam-6267	227	9	:	:	PUNCT
ejpam-6267	227	10	as∗2	as∗2	PROPN
ejpam-6267	228	1	+	+	NUM
ejpam-6267	228	2	bs∗	bs∗	PROPN
ejpam-6267	228	3	+	+	NOUN
ejpam-6267	229	1	c	c	NOUN
ejpam-6267	229	2	=	=	SYM
ejpam-6267	229	3	0	0	NUM
ejpam-6267	229	4	,	,	PUNCT
ejpam-6267	229	5	(	(	PUNCT
ejpam-6267	229	6	24	24	NUM
ejpam-6267	229	7	)	)	PUNCT
ejpam-6267	230	1	where	where	SCONJ
ejpam-6267	230	2	a	a	DET
ejpam-6267	230	3	=	=	X
ejpam-6267	230	4	βγα2(α1	βγα2(α1	PROPN
ejpam-6267	230	5	+	+	NOUN
ejpam-6267	230	6	µ)(δ	µ)(δ	X
ejpam-6267	230	7	−1)+α2β(α1	−1)+α2β(α1	VERB
ejpam-6267	230	8	+	+	NOUN
ejpam-6267	230	9	µ)(µ+γ	µ)(µ+γ	NOUN
ejpam-6267	230	10	)	)	PUNCT
ejpam-6267	230	11	.	.	PUNCT
ejpam-6267	231	1	b	b	X
ejpam-6267	231	2	=	=	SYM
ejpam-6267	231	3	µα2γ(δ	µα2γ(δ	PRON
ejpam-6267	231	4	−1)(α1	−1)(α1	NUM
ejpam-6267	231	5	+	+	CCONJ
ejpam-6267	231	6	µ)−α1βλα2	µ)−α1βλα2	NOUN
ejpam-6267	231	7	+	+	PROPN
ejpam-6267	231	8	(	(	PUNCT
ejpam-6267	231	9	α1	α1	PROPN
ejpam-6267	231	10	+	+	PROPN
ejpam-6267	231	11	µ)(µ+γ)(βµ+µα2	µ)(µ+γ)(βµ+µα2	PROPN
ejpam-6267	231	12	)	)	PUNCT
ejpam-6267	231	13	.	.	PUNCT
ejpam-6267	232	1	c	c	X
ejpam-6267	232	2	=	=	PUNCT
ejpam-6267	232	3	µ2(µ+γ)(α1	µ2(µ+γ)(α1	VERB
ejpam-6267	232	4	+	+	ADV
ejpam-6267	232	5	µ)−α1βλµ.	µ)−α1βλµ.	X
ejpam-6267	232	6	proof	proof	NOUN
ejpam-6267	232	7	.	.	PUNCT
ejpam-6267	233	1	to	to	PART
ejpam-6267	233	2	assess	assess	VERB
ejpam-6267	233	3	the	the	DET
ejpam-6267	233	4	existence	existence	NOUN
ejpam-6267	233	5	of	of	ADP
ejpam-6267	233	6	a	a	DET
ejpam-6267	233	7	positive	positive	ADJ
ejpam-6267	233	8	e∗	e∗	NOUN
ejpam-6267	233	9	of	of	ADP
ejpam-6267	233	10	(	(	PUNCT
ejpam-6267	233	11	13	13	NUM
ejpam-6267	233	12	)	)	PUNCT
ejpam-6267	233	13	,	,	PUNCT
ejpam-6267	233	14	consider	consider	VERB
ejpam-6267	233	15	s∗	s∗	PROPN
ejpam-6267	233	16	>	>	X
ejpam-6267	233	17	0	0	PUNCT
ejpam-6267	234	1	and	and	CCONJ
ejpam-6267	234	2	cdα	cdα	NOUN
ejpam-6267	234	3	0,t(p	0,t(p	ADJ
ejpam-6267	234	4	∗	∗	NOUN
ejpam-6267	234	5	)	)	PUNCT
ejpam-6267	235	1	=	=	NOUN
ejpam-6267	235	2	c	c	NOUN
ejpam-6267	235	3	dα	dα	PRON
ejpam-6267	235	4	0,t(o∗	0,t(o∗	NOUN
ejpam-6267	235	5	)	)	PUNCT
ejpam-6267	236	1	=	=	NOUN
ejpam-6267	236	2	c	c	X
ejpam-6267	236	3	dα	dα	X
ejpam-6267	236	4	0,t(s∗	0,t(s∗	NUM
ejpam-6267	236	5	)	)	PUNCT
ejpam-6267	237	1	=	=	NOUN
ejpam-6267	237	2	c	c	NOUN
ejpam-6267	237	3	dα	dα	PRON
ejpam-6267	237	4	0,t(q∗	0,t(q∗	NOUN
ejpam-6267	237	5	)	)	PUNCT
ejpam-6267	238	1	=	=	NOUN
ejpam-6267	238	2	c	c	X
ejpam-6267	238	3	dα	dα	PRON
ejpam-6267	238	4	0,t(l∗	0,t(l∗	NOUN
ejpam-6267	238	5	)	)	PUNCT
ejpam-6267	238	6	=	=	PUNCT
ejpam-6267	239	1	0	0	X
ejpam-6267	239	2	.	.	PUNCT
ejpam-6267	240	1	this	this	PRON
ejpam-6267	240	2	gives	give	VERB
ejpam-6267	240	3	λ−βp	λ−βp	PROPN
ejpam-6267	240	4	∗s∗	∗s∗	NUM
ejpam-6267	240	5	−µp	−µp	NOUN
ejpam-6267	240	6	∗	∗	NOUN
ejpam-6267	240	7	=	=	SYM
ejpam-6267	240	8	0	0	NUM
ejpam-6267	240	9	(	(	PUNCT
ejpam-6267	240	10	25	25	NUM
ejpam-6267	240	11	)	)	PUNCT
ejpam-6267	240	12	βp	βp	NOUN
ejpam-6267	240	13	∗s∗	∗s∗	NUM
ejpam-6267	240	14	−α1o∗	−α1o∗	PRON
ejpam-6267	240	15	−µo∗	−µo∗	PUNCT
ejpam-6267	240	16	=	=	SYM
ejpam-6267	240	17	0	0	SYM
ejpam-6267	240	18	(	(	PUNCT
ejpam-6267	240	19	26	26	NUM
ejpam-6267	240	20	)	)	PUNCT
ejpam-6267	240	21	α1o∗	α1o∗	PROPN
ejpam-6267	241	1	+	+	NOUN
ejpam-6267	241	2	α2s∗q∗	α2s∗q∗	ADV
ejpam-6267	241	3	−	−	X
ejpam-6267	241	4	(	(	PUNCT
ejpam-6267	241	5	µ+γ)s∗	µ+γ)s∗	VERB
ejpam-6267	241	6	=	=	SYM
ejpam-6267	241	7	0	0	NUM
ejpam-6267	241	8	(	(	PUNCT
ejpam-6267	241	9	27	27	NUM
ejpam-6267	241	10	)	)	PUNCT
ejpam-6267	241	11	−α2s∗q∗	−α2s∗q∗	NOUN
ejpam-6267	241	12	−µq∗	−µq∗	VERB
ejpam-6267	241	13	+	+	ADP
ejpam-6267	241	14	γ	γ	X
ejpam-6267	241	15	(	(	PUNCT
ejpam-6267	241	16	1−	1−	NUM
ejpam-6267	241	17	δ)s∗	δ)s∗	PROPN
ejpam-6267	241	18	=	=	SYM
ejpam-6267	241	19	0	0	NUM
ejpam-6267	241	20	(	(	PUNCT
ejpam-6267	241	21	28	28	NUM
ejpam-6267	241	22	)	)	PUNCT
ejpam-6267	241	23	δγs∗	δγs∗	NOUN
ejpam-6267	241	24	−µl∗	−µl∗	NOUN
ejpam-6267	241	25	=	=	SYM
ejpam-6267	241	26	0	0	NUM
ejpam-6267	241	27	(	(	PUNCT
ejpam-6267	241	28	29	29	NUM
ejpam-6267	241	29	)	)	PUNCT
ejpam-6267	241	30	from	from	ADP
ejpam-6267	241	31	equations	equation	NOUN
ejpam-6267	241	32	(	(	PUNCT
ejpam-6267	241	33	25	25	NUM
ejpam-6267	241	34	)	)	PUNCT
ejpam-6267	241	35	,	,	PUNCT
ejpam-6267	241	36	(	(	PUNCT
ejpam-6267	241	37	27	27	NUM
ejpam-6267	241	38	)	)	PUNCT
ejpam-6267	241	39	,	,	PUNCT
ejpam-6267	241	40	(	(	PUNCT
ejpam-6267	241	41	28	28	NUM
ejpam-6267	241	42	)	)	PUNCT
ejpam-6267	241	43	,	,	PUNCT
ejpam-6267	241	44	(	(	PUNCT
ejpam-6267	241	45	29	29	NUM
ejpam-6267	241	46	)	)	PUNCT
ejpam-6267	241	47	,	,	PUNCT
ejpam-6267	241	48	we	we	PRON
ejpam-6267	241	49	obtain	obtain	VERB
ejpam-6267	241	50	23	23	NUM
ejpam-6267	241	51	.	.	PUNCT
ejpam-6267	242	1	finally	finally	ADV
ejpam-6267	242	2	,	,	PUNCT
ejpam-6267	242	3	substituting	substitute	VERB
ejpam-6267	242	4	o∗	o∗	PROPN
ejpam-6267	242	5	and	and	CCONJ
ejpam-6267	242	6	q∗	q∗	NOUN
ejpam-6267	242	7	in	in	ADP
ejpam-6267	242	8	equation	equation	NOUN
ejpam-6267	242	9	(	(	PUNCT
ejpam-6267	242	10	26	26	NUM
ejpam-6267	242	11	)	)	PUNCT
ejpam-6267	242	12	gives	give	VERB
ejpam-6267	242	13	:	:	PUNCT
ejpam-6267	242	14	s∗	s∗	PROPN
ejpam-6267	242	15	[	[	PUNCT
ejpam-6267	242	16	α1βλ	α1βλ	X
ejpam-6267	242	17	(	(	PUNCT
ejpam-6267	242	18	α1	α1	PROPN
ejpam-6267	242	19	+	+	SYM
ejpam-6267	242	20	µ)(µ+βs∗	µ)(µ+βs∗	NUM
ejpam-6267	242	21	)	)	PUNCT
ejpam-6267	243	1	−	−	PROPN
ejpam-6267	243	2	α2γ(δ	α2γ(δ	PROPN
ejpam-6267	243	3	−1)s∗	−1)s∗	VERB
ejpam-6267	243	4	α2s∗	α2s∗	PROPN
ejpam-6267	243	5	+	+	NOUN
ejpam-6267	243	6	µ	µ	X
ejpam-6267	243	7	−µ−γ	−µ−γ	ADV
ejpam-6267	243	8	]	]	PUNCT
ejpam-6267	243	9	=	=	PUNCT
ejpam-6267	244	1	0	0	X
ejpam-6267	244	2	.	.	PUNCT
ejpam-6267	245	1	since	since	SCONJ
ejpam-6267	245	2	s∗	s∗	PROPN
ejpam-6267	245	3	6=	6=	PROPN
ejpam-6267	245	4	0	0	NUM
ejpam-6267	245	5	,	,	PUNCT
ejpam-6267	245	6	we	we	PRON
ejpam-6267	245	7	obtain	obtain	VERB
ejpam-6267	245	8	as∗2	as∗2	NOUN
ejpam-6267	245	9	+	+	NOUN
ejpam-6267	245	10	bs∗	bs∗	NOUN
ejpam-6267	245	11	+	+	NOUN
ejpam-6267	245	12	c	c	NOUN
ejpam-6267	245	13	=	=	SYM
ejpam-6267	245	14	0	0	NUM
ejpam-6267	245	15	,	,	PUNCT
ejpam-6267	245	16	with	with	ADP
ejpam-6267	245	17	:	:	PUNCT
ejpam-6267	245	18	a	a	PRON
ejpam-6267	245	19	=	=	X
ejpam-6267	245	20	βα2(α1	βα2(α1	PUNCT
ejpam-6267	245	21	+	+	NOUN
ejpam-6267	245	22	µ)(δγ	µ)(δγ	VERB
ejpam-6267	245	23	+	+	NOUN
ejpam-6267	245	24	µ	µ	NOUN
ejpam-6267	245	25	)	)	PUNCT
ejpam-6267	245	26	>	>	X
ejpam-6267	245	27	0	0	NUM
ejpam-6267	245	28	,	,	PUNCT
ejpam-6267	245	29	c	c	X
ejpam-6267	245	30	=	=	PUNCT
ejpam-6267	245	31	µ2(µ+γ)(α1	µ2(µ+γ)(α1	VERB
ejpam-6267	245	32	+	+	NOUN
ejpam-6267	245	33	µ)−α1βλµ	µ)−α1βλµ	ADJ
ejpam-6267	245	34	=	=	SYM
ejpam-6267	245	35	µ	µ	X
ejpam-6267	245	36	(	(	PUNCT
ejpam-6267	245	37	µ+γ)(α1	µ+γ)(α1	NOUN
ejpam-6267	245	38	+	+	PROPN
ejpam-6267	245	39	µ)(1−r0	µ)(1−r0	PROPN
ejpam-6267	245	40	)	)	PUNCT
ejpam-6267	245	41	,	,	PUNCT
ejpam-6267	245	42	b	b	X
ejpam-6267	245	43	=	=	SYM
ejpam-6267	245	44	−µα2γ(1−	−µα2γ(1−	PRON
ejpam-6267	245	45	δ)(α1	δ)(α1	NOUN
ejpam-6267	246	1	+	+	CCONJ
ejpam-6267	246	2	µ)+µβ(α1	µ)+µβ(α1	NOUN
ejpam-6267	246	3	+	+	ADJ
ejpam-6267	246	4	µ)(µ+γ)+	µ)(µ+γ)+	ADJ
ejpam-6267	246	5	α2	α2	ADJ
ejpam-6267	246	6	µ(α1	µ(α1	NOUN
ejpam-6267	246	7	+	+	ADV
ejpam-6267	246	8	µ)(µ+γ)(1−r0	µ)(µ+γ)(1−r0	X
ejpam-6267	246	9	)	)	PUNCT
ejpam-6267	246	10	.	.	PUNCT
ejpam-6267	247	1	r.	r.	PROPN
ejpam-6267	247	2	belgacem	belgacem	PROPN
ejpam-6267	247	3	et	et	PROPN
ejpam-6267	247	4	al	al	PROPN
ejpam-6267	247	5	.	.	PUNCT
ejpam-6267	247	6	/	/	SYM
ejpam-6267	247	7	eur	eur	PROPN
ejpam-6267	247	8	.	.	PUNCT
ejpam-6267	248	1	j.	j.	PROPN
ejpam-6267	248	2	pure	pure	PROPN
ejpam-6267	248	3	appl	appl	PROPN
ejpam-6267	248	4	.	.	PROPN
ejpam-6267	248	5	math	math	PROPN
ejpam-6267	248	6	,	,	PUNCT
ejpam-6267	248	7	18	18	NUM
ejpam-6267	248	8	(	(	PUNCT
ejpam-6267	248	9	4	4	NUM
ejpam-6267	248	10	)	)	PUNCT
ejpam-6267	248	11	(	(	PUNCT
ejpam-6267	248	12	2025	2025	NUM
ejpam-6267	248	13	)	)	PUNCT
ejpam-6267	248	14	,	,	PUNCT
ejpam-6267	248	15	6267	6267	NUM
ejpam-6267	248	16	12	12	NUM
ejpam-6267	248	17	of	of	ADP
ejpam-6267	248	18	26	26	NUM
ejpam-6267	248	19	theorem	theorem	NOUN
ejpam-6267	248	20	3	3	NUM
ejpam-6267	248	21	.	.	PUNCT
ejpam-6267	249	1	(	(	PUNCT
ejpam-6267	249	2	i	i	NOUN
ejpam-6267	249	3	)	)	PUNCT
ejpam-6267	249	4	if	if	SCONJ
ejpam-6267	249	5	r0	r0	NOUN
ejpam-6267	249	6	=	=	NOUN
ejpam-6267	249	7	1	1	NUM
ejpam-6267	249	8	,	,	PUNCT
ejpam-6267	249	9	and	and	CCONJ
ejpam-6267	249	10	µ	µ	X
ejpam-6267	249	11	γ	γ	X
ejpam-6267	249	12	>	>	X
ejpam-6267	249	13	α2	α2	PROPN
ejpam-6267	249	14	−1	−1	PROPN
ejpam-6267	249	15	,	,	PUNCT
ejpam-6267	249	16	there	there	PRON
ejpam-6267	249	17	is	be	VERB
ejpam-6267	249	18	no	no	DET
ejpam-6267	249	19	current	current	ADJ
ejpam-6267	249	20	positive	positive	ADJ
ejpam-6267	249	21	e∗	e∗	NOUN
ejpam-6267	249	22	,	,	PUNCT
ejpam-6267	249	23	(	(	PUNCT
ejpam-6267	249	24	ii	ii	NOUN
ejpam-6267	249	25	)	)	PUNCT
ejpam-6267	249	26	if	if	SCONJ
ejpam-6267	249	27	r0	r0	NOUN
ejpam-6267	249	28	<	<	X
ejpam-6267	249	29	1	1	NUM
ejpam-6267	249	30	,	,	PUNCT
ejpam-6267	249	31	and	and	CCONJ
ejpam-6267	249	32	b	b	X
ejpam-6267	249	33	>	>	X
ejpam-6267	249	34	0	0	NUM
ejpam-6267	249	35	,	,	PUNCT
ejpam-6267	249	36	there	there	PRON
ejpam-6267	249	37	is	be	VERB
ejpam-6267	249	38	no	no	DET
ejpam-6267	249	39	current	current	ADJ
ejpam-6267	249	40	positive	positive	ADJ
ejpam-6267	249	41	equilibrium	equilibrium	NOUN
ejpam-6267	249	42	point	point	NOUN
ejpam-6267	249	43	e∗	e∗	PROPN
ejpam-6267	249	44	,	,	PUNCT
ejpam-6267	249	45	(	(	PUNCT
ejpam-6267	249	46	iii	iii	X
ejpam-6267	249	47	)	)	PUNCT
ejpam-6267	249	48	if	if	SCONJ
ejpam-6267	249	49	r0	r0	NOUN
ejpam-6267	249	50	>	>	X
ejpam-6267	249	51	1	1	NUM
ejpam-6267	249	52	,	,	PUNCT
ejpam-6267	249	53	a	a	DET
ejpam-6267	249	54	unique	unique	ADJ
ejpam-6267	249	55	positive	positive	ADJ
ejpam-6267	249	56	endemic	endemic	ADJ
ejpam-6267	249	57	equilibrium	equilibrium	NOUN
ejpam-6267	249	58	e∗	e∗	NOUN
ejpam-6267	249	59	exists	exist	VERB
ejpam-6267	249	60	.	.	PUNCT
ejpam-6267	250	1	proof	proof	NOUN
ejpam-6267	250	2	.	.	PUNCT
ejpam-6267	251	1	from	from	ADP
ejpam-6267	251	2	equation	equation	NOUN
ejpam-6267	251	3	24	24	NUM
ejpam-6267	251	4	,	,	PUNCT
ejpam-6267	251	5	we	we	PRON
ejpam-6267	251	6	deduce	deduce	VERB
ejpam-6267	251	7	that	that	SCONJ
ejpam-6267	251	8	:	:	PUNCT
ejpam-6267	251	9	(	(	PUNCT
ejpam-6267	251	10	i	i	NOUN
ejpam-6267	251	11	)	)	PUNCT
ejpam-6267	251	12	when	when	SCONJ
ejpam-6267	251	13	r0	r0	NOUN
ejpam-6267	251	14	=	=	NOUN
ejpam-6267	251	15	1	1	NUM
ejpam-6267	251	16	,	,	PUNCT
ejpam-6267	251	17	it	it	PRON
ejpam-6267	251	18	follows	follow	VERB
ejpam-6267	251	19	that	that	SCONJ
ejpam-6267	251	20	c	c	NOUN
ejpam-6267	251	21	=	=	SYM
ejpam-6267	251	22	0	0	PUNCT
ejpam-6267	251	23	yielding	yield	VERB
ejpam-6267	251	24	the	the	DET
ejpam-6267	251	25	solutions	solution	NOUN
ejpam-6267	251	26	s∗	s∗	PROPN
ejpam-6267	251	27	1	1	NUM
ejpam-6267	251	28	=	=	SYM
ejpam-6267	251	29	0	0	NUM
ejpam-6267	251	30	and	and	CCONJ
ejpam-6267	251	31	s∗	s∗	PROPN
ejpam-6267	251	32	2	2	NUM
ejpam-6267	251	33	=	=	NOUN
ejpam-6267	251	34	−b	−b	VERB
ejpam-6267	251	35	a	a	PRON
ejpam-6267	251	36	.	.	PUNCT
ejpam-6267	252	1	consequently	consequently	ADV
ejpam-6267	252	2	,	,	PUNCT
ejpam-6267	252	3	no	no	DET
ejpam-6267	252	4	positive	positive	ADJ
ejpam-6267	252	5	solution	solution	NOUN
ejpam-6267	252	6	exists	exist	VERB
ejpam-6267	252	7	if	if	SCONJ
ejpam-6267	252	8	b	b	X
ejpam-6267	252	9	>	>	X
ejpam-6267	252	10	0	0	PUNCT
ejpam-6267	253	1	(	(	PUNCT
ejpam-6267	253	2	since	since	SCONJ
ejpam-6267	253	3	a	a	PRON
ejpam-6267	253	4	is	be	AUX
ejpam-6267	253	5	always	always	ADV
ejpam-6267	253	6	positive	positive	ADJ
ejpam-6267	253	7	)	)	PUNCT
ejpam-6267	253	8	.	.	PUNCT
ejpam-6267	254	1	(	(	PUNCT
ejpam-6267	254	2	ii	ii	X
ejpam-6267	254	3	)	)	PUNCT
ejpam-6267	254	4	if	if	SCONJ
ejpam-6267	254	5	r0	r0	NOUN
ejpam-6267	254	6	<	<	X
ejpam-6267	254	7	1	1	NUM
ejpam-6267	254	8	and	and	CCONJ
ejpam-6267	254	9	b	b	NOUN
ejpam-6267	254	10	>	>	X
ejpam-6267	254	11	0	0	NUM
ejpam-6267	254	12	,	,	PUNCT
ejpam-6267	254	13	then	then	ADV
ejpam-6267	254	14	a	a	PRON
ejpam-6267	254	15	,	,	PUNCT
ejpam-6267	254	16	c	c	X
ejpam-6267	254	17	>	>	X
ejpam-6267	254	18	0	0	X
ejpam-6267	254	19	.	.	PUNCT
ejpam-6267	255	1	there	there	PRON
ejpam-6267	255	2	is	be	VERB
ejpam-6267	255	3	no	no	DET
ejpam-6267	255	4	positive	positive	ADJ
ejpam-6267	255	5	solution	solution	NOUN
ejpam-6267	255	6	to	to	ADP
ejpam-6267	255	7	the	the	DET
ejpam-6267	255	8	equation	equation	NOUN
ejpam-6267	255	9	.	.	PUNCT
ejpam-6267	256	1	(	(	PUNCT
ejpam-6267	256	2	iii	iii	X
ejpam-6267	256	3	)	)	PUNCT
ejpam-6267	256	4	if	if	SCONJ
ejpam-6267	256	5	r0	r0	NOUN
ejpam-6267	256	6	>	>	X
ejpam-6267	256	7	1	1	NUM
ejpam-6267	256	8	,	,	PUNCT
ejpam-6267	256	9	then	then	ADV
ejpam-6267	256	10	there	there	PRON
ejpam-6267	256	11	a	a	PRON
ejpam-6267	256	12	,	,	PUNCT
ejpam-6267	256	13	c	c	X
ejpam-6267	256	14	>	>	X
ejpam-6267	256	15	0	0	PUNCT
ejpam-6267	257	1	(	(	PUNCT
ejpam-6267	257	2	there	there	PRON
ejpam-6267	257	3	is	be	VERB
ejpam-6267	257	4	one	one	NUM
ejpam-6267	257	5	change	change	NOUN
ejpam-6267	257	6	in	in	ADP
ejpam-6267	257	7	the	the	DET
ejpam-6267	257	8	sign	sign	NOUN
ejpam-6267	257	9	of	of	ADP
ejpam-6267	257	10	the	the	DET
ejpam-6267	257	11	terms	term	NOUN
ejpam-6267	257	12	,	,	PUNCT
ejpam-6267	257	13	so	so	CCONJ
ejpam-6267	257	14	there	there	PRON
ejpam-6267	257	15	is	be	VERB
ejpam-6267	257	16	a	a	DET
ejpam-6267	257	17	positive	positive	ADJ
ejpam-6267	257	18	solution	solution	NOUN
ejpam-6267	257	19	)	)	PUNCT
ejpam-6267	257	20	and	and	CCONJ
ejpam-6267	257	21	∆	∆	PROPN
ejpam-6267	257	22	=	=	SYM
ejpam-6267	257	23	b2	b2	PROPN
ejpam-6267	257	24	−4ac	−4ac	NOUN
ejpam-6267	257	25	>	>	X
ejpam-6267	257	26	0	0	X
ejpam-6267	257	27	.	.	NOUN
ejpam-6267	257	28	which	which	PRON
ejpam-6267	257	29	gives	give	VERB
ejpam-6267	257	30	s1	s1	NOUN
ejpam-6267	257	31	=	=	PUNCT
ejpam-6267	257	32	−b	−b	ADJ
ejpam-6267	257	33	−	−	NOUN
ejpam-6267	257	34	√	√	PROPN
ejpam-6267	257	35	∆	∆	PROPN
ejpam-6267	257	36	2a	2a	NUM
ejpam-6267	257	37	and	and	CCONJ
ejpam-6267	257	38	s2	s2	NOUN
ejpam-6267	257	39	=	=	PUNCT
ejpam-6267	257	40	−b	−b	NOUN
ejpam-6267	257	41	+	+	CCONJ
ejpam-6267	257	42	√	√	ADJ
ejpam-6267	257	43	∆	∆	PROPN
ejpam-6267	257	44	2a	2a	NUM
ejpam-6267	257	45	.	.	PUNCT
ejpam-6267	258	1	note	note	VERB
ejpam-6267	258	2	that	that	SCONJ
ejpam-6267	258	3	:	:	PUNCT
ejpam-6267	258	4	√	√	NUM
ejpam-6267	258	5	b2	b2	PROPN
ejpam-6267	258	6	−4ac	−4ac	NOUN
ejpam-6267	258	7	>	>	X
ejpam-6267	258	8	−b	−b	VERB
ejpam-6267	258	9	.	.	PUNCT
ejpam-6267	259	1	so	so	ADV
ejpam-6267	259	2	:	:	PUNCT
ejpam-6267	259	3	s2	s2	NOUN
ejpam-6267	259	4	=	=	PUNCT
ejpam-6267	259	5	−b	−b	NOUN
ejpam-6267	259	6	+	+	CCONJ
ejpam-6267	259	7	√	√	PROPN
ejpam-6267	259	8	∆	∆	PROPN
ejpam-6267	259	9	2a	2a	NUM
ejpam-6267	259	10	it	it	PRON
ejpam-6267	259	11	is	be	AUX
ejpam-6267	259	12	a	a	DET
ejpam-6267	259	13	positive	positive	ADJ
ejpam-6267	259	14	solution	solution	NOUN
ejpam-6267	259	15	to	to	ADP
ejpam-6267	259	16	the	the	DET
ejpam-6267	259	17	equation	equation	NOUN
ejpam-6267	259	18	.	.	PUNCT
ejpam-6267	260	1	the	the	DET
ejpam-6267	260	2	stability	stability	NOUN
ejpam-6267	260	3	of	of	ADP
ejpam-6267	260	4	the	the	DET
ejpam-6267	260	5	point	point	NOUN
ejpam-6267	260	6	e0	e0	PROPN
ejpam-6267	260	7	is	be	AUX
ejpam-6267	260	8	studied	study	VERB
ejpam-6267	260	9	in	in	ADP
ejpam-6267	260	10	the	the	DET
ejpam-6267	260	11	following	following	NOUN
ejpam-6267	260	12	theorem	theorem	NOUN
ejpam-6267	260	13	,	,	PUNCT
ejpam-6267	260	14	by	by	ADP
ejpam-6267	260	15	using	use	VERB
ejpam-6267	260	16	the	the	DET
ejpam-6267	260	17	result	result	NOUN
ejpam-6267	260	18	proven	prove	VERB
ejpam-6267	260	19	in	in	ADP
ejpam-6267	260	20	[	[	X
ejpam-6267	260	21	29	29	NUM
ejpam-6267	260	22	,	,	PUNCT
ejpam-6267	260	23	30	30	NUM
ejpam-6267	260	24	]	]	PUNCT
ejpam-6267	260	25	.	.	PUNCT
ejpam-6267	261	1	theorem	theorem	ADJ
ejpam-6267	261	2	4	4	NUM
ejpam-6267	261	3	.	.	PUNCT
ejpam-6267	262	1	the	the	DET
ejpam-6267	262	2	sfe	sfe	PROPN
ejpam-6267	262	3	point	point	PROPN
ejpam-6267	262	4	e0	e0	PROPN
ejpam-6267	262	5	is	be	AUX
ejpam-6267	262	6	locally	locally	ADV
ejpam-6267	262	7	asymptotically	asymptotically	ADV
ejpam-6267	262	8	stable	stable	ADJ
ejpam-6267	262	9	for	for	ADP
ejpam-6267	262	10	r0	r0	NOUN
ejpam-6267	262	11	<	<	X
ejpam-6267	262	12	1	1	NUM
ejpam-6267	262	13	,	,	PUNCT
ejpam-6267	262	14	and	and	CCONJ
ejpam-6267	262	15	unstable	unstable	ADJ
ejpam-6267	262	16	for	for	ADP
ejpam-6267	262	17	r0	r0	NOUN
ejpam-6267	262	18	>	>	X
ejpam-6267	262	19	1	1	X
ejpam-6267	262	20	.	.	PUNCT
ejpam-6267	263	1	proof	proof	NOUN
ejpam-6267	263	2	.	.	PUNCT
ejpam-6267	264	1	evaluating	evaluate	VERB
ejpam-6267	264	2	the	the	DET
ejpam-6267	264	3	jacobian	jacobian	ADJ
ejpam-6267	264	4	matrix	matrix	NOUN
ejpam-6267	264	5	of	of	ADP
ejpam-6267	264	6	(	(	PUNCT
ejpam-6267	264	7	13	13	NUM
ejpam-6267	264	8	)	)	PUNCT
ejpam-6267	264	9	at	at	ADP
ejpam-6267	264	10	e0(λ	e0(λ	PROPN
ejpam-6267	264	11	µ	µ	NUM
ejpam-6267	264	12	,	,	PUNCT
ejpam-6267	264	13	0,0,0,0	0,0,0,0	NUM
ejpam-6267	264	14	)	)	PUNCT
ejpam-6267	264	15	,	,	PUNCT
ejpam-6267	264	16	yields	yield	VERB
ejpam-6267	264	17	:	:	PUNCT
ejpam-6267	264	18	j(e0	j(e0	ADJ
ejpam-6267	264	19	)	)	PUNCT
ejpam-6267	264	20	=	=	SYM
ejpam-6267	265	1			ADJ
ejpam-6267	265	2	−µ	−µ	NOUN
ejpam-6267	265	3	0	0	PUNCT
ejpam-6267	266	1	−βp0	−βp0	ADV
ejpam-6267	266	2	0	0	NUM
ejpam-6267	266	3	0	0	NUM
ejpam-6267	266	4	0	0	NUM
ejpam-6267	266	5	−(α1	−(α1	NUM
ejpam-6267	266	6	+	+	NOUN
ejpam-6267	266	7	µ	µ	NOUN
ejpam-6267	266	8	)	)	PUNCT
ejpam-6267	266	9	βp0	βp0	NOUN
ejpam-6267	266	10	0	0	NUM
ejpam-6267	266	11	0	0	NUM
ejpam-6267	266	12	0	0	NUM
ejpam-6267	266	13	α1	α1	PROPN
ejpam-6267	266	14	−µ−γ	−µ−γ	ADV
ejpam-6267	266	15	0	0	NUM
ejpam-6267	266	16	0	0	NUM
ejpam-6267	266	17	0	0	NUM
ejpam-6267	266	18	0	0	NUM
ejpam-6267	266	19	γ	γ	NOUN
ejpam-6267	266	20	−γδ	−γδ	DET
ejpam-6267	266	21	−µ	−µ	NOUN
ejpam-6267	266	22	0	0	NUM
ejpam-6267	266	23	0	0	SYM
ejpam-6267	266	24	0	0	NUM
ejpam-6267	266	25	δγ	δγ	PROPN
ejpam-6267	266	26	0	0	NUM
ejpam-6267	266	27	−µ	−µ	NOUN
ejpam-6267	266	28			PROPN
ejpam-6267	266	29	,	,	PUNCT
ejpam-6267	266	30	then	then	ADV
ejpam-6267	266	31	:	:	PUNCT
ejpam-6267	266	32	j(e0	j(e0	ADJ
ejpam-6267	266	33	)	)	PUNCT
ejpam-6267	266	34	=	=	SYM
ejpam-6267	266	35			ADJ
ejpam-6267	266	36	−µ	−µ	NOUN
ejpam-6267	266	37	0	0	PUNCT
ejpam-6267	267	1	−βp0	−βp0	ADV
ejpam-6267	267	2	0	0	NUM
ejpam-6267	267	3	0	0	NUM
ejpam-6267	267	4	0	0	NUM
ejpam-6267	267	5	−(α1	−(α1	NUM
ejpam-6267	267	6	+	+	NOUN
ejpam-6267	267	7	µ	µ	NOUN
ejpam-6267	267	8	)	)	PUNCT
ejpam-6267	267	9	βp0	βp0	NOUN
ejpam-6267	267	10	0	0	NUM
ejpam-6267	267	11	0	0	NUM
ejpam-6267	267	12	0	0	NUM
ejpam-6267	267	13	0	0	NUM
ejpam-6267	267	14	βp0	βp0	NOUN
ejpam-6267	267	15	−	−	PROPN
ejpam-6267	267	16	(	(	PUNCT
ejpam-6267	267	17	µ+γ)(α1+µ	µ+γ)(α1+µ	PROPN
ejpam-6267	267	18	)	)	PUNCT
ejpam-6267	267	19	α1	α1	PROPN
ejpam-6267	267	20	0	0	NUM
ejpam-6267	267	21	0	0	NUM
ejpam-6267	267	22	0	0	NUM
ejpam-6267	267	23	0	0	NUM
ejpam-6267	267	24	γ	γ	NOUN
ejpam-6267	267	25	−γδ	−γδ	DET
ejpam-6267	267	26	−µ	−µ	NOUN
ejpam-6267	267	27	0	0	NUM
ejpam-6267	267	28	0	0	SYM
ejpam-6267	267	29	0	0	NUM
ejpam-6267	267	30	δγ	δγ	PROPN
ejpam-6267	267	31	0	0	NUM
ejpam-6267	267	32	−µ	−µ	NOUN
ejpam-6267	267	33			PROPN
ejpam-6267	267	34	,	,	PUNCT
ejpam-6267	267	35	the	the	DET
ejpam-6267	267	36	characteristic	characteristic	ADJ
ejpam-6267	267	37	polynomial	polynomial	NOUN
ejpam-6267	267	38	takes	take	VERB
ejpam-6267	267	39	the	the	DET
ejpam-6267	267	40	form	form	NOUN
ejpam-6267	267	41	:	:	PUNCT
ejpam-6267	267	42	p	p	X
ejpam-6267	267	43	(	(	PUNCT
ejpam-6267	267	44	λ	λ	NOUN
ejpam-6267	267	45	)	)	PUNCT
ejpam-6267	267	46	=	=	SYM
ejpam-6267	267	47	(	(	PUNCT
ejpam-6267	267	48	λ+µ)3(λ+α1	λ+µ)3(λ+α1	PROPN
ejpam-6267	267	49	+	+	PROPN
ejpam-6267	267	50	µ	µ	X
ejpam-6267	267	51	)	)	PUNCT
ejpam-6267	267	52	(	(	PUNCT
ejpam-6267	267	53	λ−βp0	λ−βp0	X
ejpam-6267	267	54	+	+	CCONJ
ejpam-6267	267	55	(	(	PUNCT
ejpam-6267	267	56	µ+γ)(α1	µ+γ)(α1	NOUN
ejpam-6267	267	57	+	+	NOUN
ejpam-6267	267	58	µ	µ	NOUN
ejpam-6267	267	59	)	)	PUNCT
ejpam-6267	267	60	α1	α1	PROPN
ejpam-6267	267	61	)	)	PUNCT
ejpam-6267	267	62	.	.	PUNCT
ejpam-6267	268	1	r.	r.	PROPN
ejpam-6267	268	2	belgacem	belgacem	PROPN
ejpam-6267	268	3	et	et	PROPN
ejpam-6267	268	4	al	al	PROPN
ejpam-6267	268	5	.	.	PUNCT
ejpam-6267	268	6	/	/	SYM
ejpam-6267	268	7	eur	eur	PROPN
ejpam-6267	268	8	.	.	PUNCT
ejpam-6267	269	1	j.	j.	PROPN
ejpam-6267	269	2	pure	pure	PROPN
ejpam-6267	269	3	appl	appl	PROPN
ejpam-6267	269	4	.	.	PROPN
ejpam-6267	269	5	math	math	PROPN
ejpam-6267	269	6	,	,	PUNCT
ejpam-6267	269	7	18	18	NUM
ejpam-6267	269	8	(	(	PUNCT
ejpam-6267	269	9	4	4	NUM
ejpam-6267	269	10	)	)	PUNCT
ejpam-6267	269	11	(	(	PUNCT
ejpam-6267	269	12	2025	2025	NUM
ejpam-6267	269	13	)	)	PUNCT
ejpam-6267	269	14	,	,	PUNCT
ejpam-6267	269	15	6267	6267	NUM
ejpam-6267	269	16	13	13	NUM
ejpam-6267	269	17	of	of	ADP
ejpam-6267	269	18	26	26	NUM
ejpam-6267	269	19	accordingly	accordingly	ADV
ejpam-6267	269	20	,	,	PUNCT
ejpam-6267	269	21	the	the	DET
ejpam-6267	269	22	eigenvalues	eigenvalue	NOUN
ejpam-6267	269	23	of	of	ADP
ejpam-6267	269	24	j(e0	j(e0	NOUN
ejpam-6267	269	25	)	)	PUNCT
ejpam-6267	269	26	are	be	AUX
ejpam-6267	269	27	:	:	PUNCT
ejpam-6267	269	28	λ1	λ1	ADJ
ejpam-6267	269	29	=	=	SYM
ejpam-6267	269	30	−µ	−µ	NOUN
ejpam-6267	269	31	,	,	PUNCT
ejpam-6267	269	32	λ2	λ2	NOUN
ejpam-6267	269	33	=	=	SYM
ejpam-6267	269	34	−(α1	−(α1	NUM
ejpam-6267	269	35	+	+	NOUN
ejpam-6267	269	36	µ	µ	NOUN
ejpam-6267	269	37	)	)	PUNCT
ejpam-6267	269	38	,	,	PUNCT
ejpam-6267	269	39	λ3	λ3	PROPN
ejpam-6267	269	40	=	=	PUNCT
ejpam-6267	269	41	(	(	PUNCT
ejpam-6267	269	42	µ+γ)(α1	µ+γ)(α1	NOUN
ejpam-6267	269	43	+	+	NOUN
ejpam-6267	269	44	µ	µ	X
ejpam-6267	269	45	)	)	PUNCT
ejpam-6267	269	46	α1	α1	PROPN
ejpam-6267	269	47	(	(	PUNCT
ejpam-6267	269	48	r0	r0	NOUN
ejpam-6267	269	49	−1	−1	NOUN
ejpam-6267	269	50	)	)	PUNCT
ejpam-6267	269	51	.	.	PUNCT
ejpam-6267	270	1	if	if	SCONJ
ejpam-6267	270	2	r0	r0	NOUN
ejpam-6267	270	3	<	<	X
ejpam-6267	270	4	1	1	NUM
ejpam-6267	270	5	,	,	PUNCT
ejpam-6267	270	6	then	then	ADV
ejpam-6267	270	7	λ3	λ3	PROPN
ejpam-6267	270	8	<	<	X
ejpam-6267	270	9	0	0	NUM
ejpam-6267	270	10	.	.	PUNCT
ejpam-6267	271	1	as	as	ADP
ejpam-6267	271	2	a	a	DET
ejpam-6267	271	3	result	result	NOUN
ejpam-6267	271	4	,	,	PUNCT
ejpam-6267	271	5	all	all	DET
ejpam-6267	271	6	eigenvalues	eigenvalue	NOUN
ejpam-6267	271	7	of	of	ADP
ejpam-6267	271	8	j(e0	j(e0	NOUN
ejpam-6267	271	9	)	)	PUNCT
ejpam-6267	271	10	are	be	AUX
ejpam-6267	271	11	negative	negative	ADJ
ejpam-6267	271	12	and	and	CCONJ
ejpam-6267	271	13	satisfy	satisfy	VERB
ejpam-6267	271	14	the	the	DET
ejpam-6267	271	15	required	required	ADJ
ejpam-6267	271	16	stability	stability	NOUN
ejpam-6267	271	17	conditions	condition	NOUN
ejpam-6267	271	18	:	:	PUNCT
ejpam-6267	271	19	|arg(λi)|	|arg(λi)|	X
ejpam-6267	271	20	>	>	X
ejpam-6267	271	21	α	α	X
ejpam-6267	271	22	π	π	PROPN
ejpam-6267	271	23	2	2	NUM
ejpam-6267	271	24	,	,	PUNCT
ejpam-6267	271	25	i	i	PRON
ejpam-6267	271	26	=	=	NOUN
ejpam-6267	271	27	1,2,3	1,2,3	NUM
ejpam-6267	271	28	,	,	PUNCT
ejpam-6267	271	29	ensuring	ensure	VERB
ejpam-6267	271	30	that	that	SCONJ
ejpam-6267	271	31	e0	e0	PROPN
ejpam-6267	271	32	is	be	AUX
ejpam-6267	271	33	locally	locally	ADV
ejpam-6267	271	34	asymptotically	asymptotically	ADV
ejpam-6267	271	35	stable	stable	ADJ
ejpam-6267	271	36	(	(	PUNCT
ejpam-6267	271	37	see	see	VERB
ejpam-6267	271	38	[	[	X
ejpam-6267	271	39	29	29	NUM
ejpam-6267	271	40	,	,	PUNCT
ejpam-6267	271	41	30	30	NUM
ejpam-6267	271	42	]	]	PUNCT
ejpam-6267	271	43	)	)	PUNCT
ejpam-6267	271	44	.	.	PUNCT
ejpam-6267	272	1	however	however	ADV
ejpam-6267	272	2	,	,	PUNCT
ejpam-6267	272	3	when	when	SCONJ
ejpam-6267	272	4	r0	r0	NOUN
ejpam-6267	272	5	=	=	NOUN
ejpam-6267	272	6	1	1	NUM
ejpam-6267	272	7	,	,	PUNCT
ejpam-6267	272	8	we	we	PRON
ejpam-6267	272	9	have	have	VERB
ejpam-6267	272	10	λ3	λ3	PROPN
ejpam-6267	272	11	=	=	SYM
ejpam-6267	272	12	0	0	NUM
ejpam-6267	272	13	,	,	PUNCT
ejpam-6267	272	14	implying	imply	VERB
ejpam-6267	272	15	that	that	SCONJ
ejpam-6267	272	16	e0	e0	PROPN
ejpam-6267	272	17	is	be	AUX
ejpam-6267	272	18	locally	locally	ADV
ejpam-6267	272	19	stable	stable	ADJ
ejpam-6267	272	20	.	.	PUNCT
ejpam-6267	273	1	if	if	SCONJ
ejpam-6267	273	2	r0	r0	NOUN
ejpam-6267	273	3	>	>	X
ejpam-6267	273	4	1	1	NUM
ejpam-6267	273	5	,	,	PUNCT
ejpam-6267	273	6	then	then	ADV
ejpam-6267	273	7	λ3	λ3	PROPN
ejpam-6267	273	8	>	>	X
ejpam-6267	273	9	0	0	PUNCT
ejpam-6267	274	1	and	and	CCONJ
ejpam-6267	274	2	|arg(λ3)|	|arg(λ3)|	NOUN
ejpam-6267	274	3	≤	≤	NOUN
ejpam-6267	274	4	α	α	NUM
ejpam-6267	274	5	π	π	PROPN
ejpam-6267	274	6	2	2	NUM
ejpam-6267	274	7	,	,	PUNCT
ejpam-6267	274	8	which	which	PRON
ejpam-6267	274	9	implies	imply	VERB
ejpam-6267	274	10	that	that	SCONJ
ejpam-6267	274	11	e0	e0	PROPN
ejpam-6267	274	12	is	be	AUX
ejpam-6267	274	13	unstable	unstable	ADJ
ejpam-6267	274	14	.	.	PUNCT
ejpam-6267	275	1	the	the	DET
ejpam-6267	275	2	local	local	ADJ
ejpam-6267	275	3	stability	stability	NOUN
ejpam-6267	275	4	analysis	analysis	NOUN
ejpam-6267	275	5	of	of	ADP
ejpam-6267	275	6	the	the	DET
ejpam-6267	275	7	equilibrium	equilibrium	NOUN
ejpam-6267	275	8	point	point	NOUN
ejpam-6267	275	9	e∗	e∗	PROPN
ejpam-6267	275	10	is	be	AUX
ejpam-6267	275	11	examined	examine	VERB
ejpam-6267	275	12	by	by	ADP
ejpam-6267	275	13	by	by	ADP
ejpam-6267	275	14	evaluating	evaluate	VERB
ejpam-6267	275	15	the	the	DET
ejpam-6267	275	16	jacobian	jacobian	ADJ
ejpam-6267	275	17	matrix	matrix	NOUN
ejpam-6267	275	18	of	of	ADP
ejpam-6267	275	19	system	system	NOUN
ejpam-6267	275	20	(	(	PUNCT
ejpam-6267	275	21	13	13	NUM
ejpam-6267	275	22	)	)	PUNCT
ejpam-6267	275	23	at	at	ADP
ejpam-6267	275	24	e∗	e∗	PROPN
ejpam-6267	275	25	,	,	PUNCT
ejpam-6267	275	26	yielding	yield	VERB
ejpam-6267	275	27	:	:	PUNCT
ejpam-6267	275	28	j	j	PROPN
ejpam-6267	275	29	(	(	PUNCT
ejpam-6267	275	30	e∗	e∗	PROPN
ejpam-6267	275	31	)	)	PUNCT
ejpam-6267	275	32	=	=	SYM
ejpam-6267	275	33			ADJ
ejpam-6267	275	34	−(µ−βs∗	−(µ−βs∗	NOUN
ejpam-6267	275	35	)	)	PUNCT
ejpam-6267	275	36	0	0	PUNCT
ejpam-6267	276	1	−βp	−βp	PROPN
ejpam-6267	276	2	∗	∗	NOUN
ejpam-6267	276	3	0	0	NUM
ejpam-6267	276	4	0	0	NUM
ejpam-6267	276	5	βs∗	βs∗	NOUN
ejpam-6267	276	6	−(α1	−(α1	NUM
ejpam-6267	276	7	+	+	NOUN
ejpam-6267	276	8	µ	µ	NOUN
ejpam-6267	276	9	)	)	PUNCT
ejpam-6267	276	10	βp	βp	NOUN
ejpam-6267	276	11	∗	∗	NOUN
ejpam-6267	276	12	0	0	NUM
ejpam-6267	276	13	0	0	NUM
ejpam-6267	276	14	0	0	NUM
ejpam-6267	276	15	α1	α1	PROPN
ejpam-6267	276	16	α2q∗	α2q∗	NOUN
ejpam-6267	276	17	−	−	PROPN
ejpam-6267	276	18	(	(	PUNCT
ejpam-6267	276	19	µ+γ	µ+γ	NUM
ejpam-6267	276	20	)	)	PUNCT
ejpam-6267	276	21	α2s∗	α2s∗	NOUN
ejpam-6267	276	22	0	0	NUM
ejpam-6267	276	23	0	0	NUM
ejpam-6267	276	24	0	0	NUM
ejpam-6267	277	1	−α2q∗	−α2q∗	NUM
ejpam-6267	277	2	+	+	PROPN
ejpam-6267	277	3	γ	γ	X
ejpam-6267	277	4	−	−	ADP
ejpam-6267	277	5	δγ	δγ	NUM
ejpam-6267	277	6	−(α2s∗	−(α2s∗	PROPN
ejpam-6267	277	7	+	+	NOUN
ejpam-6267	277	8	µ	µ	NOUN
ejpam-6267	277	9	)	)	PUNCT
ejpam-6267	277	10	0	0	NUM
ejpam-6267	277	11	0	0	NUM
ejpam-6267	277	12	0	0	NUM
ejpam-6267	278	1	γδ	γδ	ADP
ejpam-6267	278	2	0	0	NUM
ejpam-6267	278	3	−µ	−µ	NOUN
ejpam-6267	278	4			ADV
ejpam-6267	279	1	we	we	PRON
ejpam-6267	279	2	note	note	VERB
ejpam-6267	279	3	that	that	SCONJ
ejpam-6267	279	4	λ1	λ1	PROPN
ejpam-6267	279	5	=	=	SYM
ejpam-6267	279	6	−µ	−µ	NOUN
ejpam-6267	279	7	is	be	AUX
ejpam-6267	279	8	eigenvalue	eigenvalue	PROPN
ejpam-6267	279	9	then	then	ADV
ejpam-6267	279	10	the	the	DET
ejpam-6267	279	11	local	local	ADJ
ejpam-6267	279	12	stability	stability	NOUN
ejpam-6267	279	13	of	of	ADP
ejpam-6267	279	14	e∗	e∗	NOUN
ejpam-6267	279	15	of	of	ADP
ejpam-6267	279	16	depends	depend	VERB
ejpam-6267	279	17	of	of	ADP
ejpam-6267	279	18	sign	sign	NOUN
ejpam-6267	279	19	of	of	ADP
ejpam-6267	279	20	reale	reale	NOUN
ejpam-6267	279	21	of	of	ADP
ejpam-6267	279	22	eigenvalue	eigenvalue	PROPN
ejpam-6267	279	23	of	of	ADP
ejpam-6267	279	24	the	the	DET
ejpam-6267	279	25	following	follow	VERB
ejpam-6267	279	26	matrix	matrix	NOUN
ejpam-6267	279	27	:	:	PUNCT
ejpam-6267	279	28	j1	j1	PROPN
ejpam-6267	279	29	(	(	PUNCT
ejpam-6267	279	30	e∗	e∗	PROPN
ejpam-6267	279	31	)	)	PUNCT
ejpam-6267	280	1	=	=	PUNCT
ejpam-6267	281	1			NOUN
ejpam-6267	281	2	−βs∗	−βs∗	X
ejpam-6267	281	3	−µ	−µ	NOUN
ejpam-6267	281	4	0	0	PUNCT
ejpam-6267	282	1	−βp	−βp	PROPN
ejpam-6267	282	2	∗	∗	PROPN
ejpam-6267	282	3	0	0	NUM
ejpam-6267	282	4	βs∗	βs∗	NOUN
ejpam-6267	282	5	−α1	−α1	VERB
ejpam-6267	282	6	−µ	−µ	ADV
ejpam-6267	282	7	βp	βp	PRON
ejpam-6267	282	8	∗	∗	NOUN
ejpam-6267	282	9	0	0	NUM
ejpam-6267	282	10	0	0	NUM
ejpam-6267	282	11	α1	α1	PROPN
ejpam-6267	282	12	α2q∗	α2q∗	NOUN
ejpam-6267	282	13	−	−	PROPN
ejpam-6267	283	1	(	(	PUNCT
ejpam-6267	283	2	µ+γ	µ+γ	NUM
ejpam-6267	283	3	)	)	PUNCT
ejpam-6267	283	4	α2s∗	α2s∗	NOUN
ejpam-6267	283	5	0	0	NUM
ejpam-6267	283	6	0	0	NUM
ejpam-6267	284	1	−α2q∗	−α2q∗	NUM
ejpam-6267	284	2	+	+	PROPN
ejpam-6267	284	3	γ(1−	γ(1−	PROPN
ejpam-6267	284	4	δ	δ	PROPN
ejpam-6267	284	5	)	)	PUNCT
ejpam-6267	284	6	−α2s∗	−α2s∗	PROPN
ejpam-6267	284	7	−µ	−µ	NOUN
ejpam-6267	284	8			NOUN
ejpam-6267	284	9	,	,	PUNCT
ejpam-6267	284	10	the	the	DET
ejpam-6267	284	11	characteristic	characteristic	ADJ
ejpam-6267	284	12	polynomial	polynomial	NOUN
ejpam-6267	284	13	is	be	AUX
ejpam-6267	284	14	represented	represent	VERB
ejpam-6267	284	15	by	by	ADP
ejpam-6267	284	16	:	:	PUNCT
ejpam-6267	284	17	p	p	X
ejpam-6267	284	18	(	(	PUNCT
ejpam-6267	284	19	λ	λ	NOUN
ejpam-6267	284	20	)	)	PUNCT
ejpam-6267	284	21	=	=	SYM
ejpam-6267	284	22	(	(	PUNCT
ejpam-6267	284	23	λ+(βs∗	λ+(βs∗	X
ejpam-6267	284	24	+	+	X
ejpam-6267	284	25	µ))(λ3	µ))(λ3	X
ejpam-6267	284	26	+	+	ADJ
ejpam-6267	284	27	a1λ2	a1λ2	ADJ
ejpam-6267	284	28	+	+	NOUN
ejpam-6267	284	29	a2λ+a3	a2λ+a3	NOUN
ejpam-6267	284	30	)	)	PUNCT
ejpam-6267	284	31	.	.	PUNCT
ejpam-6267	285	1	such	such	ADJ
ejpam-6267	285	2	that	that	SCONJ
ejpam-6267	285	3	,	,	PUNCT
ejpam-6267	285	4	a1	a1	NOUN
ejpam-6267	285	5	=	=	SYM
ejpam-6267	285	6	(	(	PUNCT
ejpam-6267	285	7	βs∗	βs∗	X
ejpam-6267	285	8	+	+	NOUN
ejpam-6267	285	9	µ)(α1µ	µ)(α1µ	NUM
ejpam-6267	285	10	)	)	PUNCT
ejpam-6267	285	11	βs∗	βs∗	PUNCT
ejpam-6267	286	1	−α2q∗	−α2q∗	NUM
ejpam-6267	286	2	+	+	PROPN
ejpam-6267	286	3	(	(	PUNCT
ejpam-6267	286	4	µ+γ)+α2s∗	µ+γ)+α2s∗	PROPN
ejpam-6267	286	5	+	+	NOUN
ejpam-6267	286	6	µ	µ	NOUN
ejpam-6267	286	7	,	,	PUNCT
ejpam-6267	286	8	a2	a2	PROPN
ejpam-6267	286	9	=	=	PUNCT
ejpam-6267	286	10	(	(	PUNCT
ejpam-6267	286	11	βs∗	βs∗	X
ejpam-6267	286	12	+	+	PUNCT
ejpam-6267	286	13	µ)(α1	µ)(α1	X
ejpam-6267	286	14	+	+	NOUN
ejpam-6267	286	15	µ	µ	NOUN
ejpam-6267	286	16	)	)	PUNCT
ejpam-6267	286	17	βs∗	βs∗	PUNCT
ejpam-6267	286	18	(	(	PUNCT
ejpam-6267	286	19	α2q∗	α2q∗	NOUN
ejpam-6267	286	20	−	−	PROPN
ejpam-6267	286	21	(	(	PUNCT
ejpam-6267	286	22	µ+γ)−α2s∗	µ+γ)−α2s∗	PROPN
ejpam-6267	286	23	−µ)+(α2q∗	−µ)+(α2q∗	NOUN
ejpam-6267	286	24	−	−	PROPN
ejpam-6267	286	25	(	(	PUNCT
ejpam-6267	286	26	µ+γ))(−α2s∗	µ+γ))(−α2s∗	X
ejpam-6267	286	27	−µ)−	−µ)−	X
ejpam-6267	286	28	µα1βp	µα1βp	PRON
ejpam-6267	286	29	∗	∗	NOUN
ejpam-6267	286	30	βs∗	βs∗	PUNCT
ejpam-6267	287	1	+	+	ADP
ejpam-6267	287	2	α2s∗(α2q∗	α2s∗(α2q∗	NUM
ejpam-6267	287	3	−γ(1−	−γ(1−	ADJ
ejpam-6267	287	4	δ	δ	PROPN
ejpam-6267	287	5	)	)	PUNCT
ejpam-6267	287	6	)	)	PUNCT
ejpam-6267	287	7	,	,	PUNCT
ejpam-6267	287	8	a3	a3	NOUN
ejpam-6267	287	9	=	=	PUNCT
ejpam-6267	287	10	(	(	PUNCT
ejpam-6267	287	11	µ+βs∗)(γ	µ+βs∗)(γ	X
ejpam-6267	287	12	+	+	NOUN
ejpam-6267	287	13	µ−α2q∗)(α1	µ−α2q∗)(α1	NUM
ejpam-6267	287	14	+	+	NUM
ejpam-6267	287	15	µ)(α2s∗	µ)(α2s∗	PROPN
ejpam-6267	287	16	+	+	PROPN
ejpam-6267	287	17	µ)−µα1βp	µ)−µα1βp	NUM
ejpam-6267	287	18	∗(α2	∗(α2	PRON
ejpam-6267	287	19	+	+	NOUN
ejpam-6267	287	20	µ	µ	X
ejpam-6267	287	21	)	)	PUNCT
ejpam-6267	287	22	βs∗	βs∗	PROPN
ejpam-6267	287	23	r.	r.	PROPN
ejpam-6267	287	24	belgacem	belgacem	PROPN
ejpam-6267	287	25	et	et	PROPN
ejpam-6267	287	26	al	al	PROPN
ejpam-6267	287	27	.	.	PUNCT
ejpam-6267	287	28	/	/	SYM
ejpam-6267	287	29	eur	eur	PROPN
ejpam-6267	287	30	.	.	PUNCT
ejpam-6267	288	1	j.	j.	PROPN
ejpam-6267	288	2	pure	pure	PROPN
ejpam-6267	288	3	appl	appl	PROPN
ejpam-6267	288	4	.	.	PROPN
ejpam-6267	288	5	math	math	PROPN
ejpam-6267	288	6	,	,	PUNCT
ejpam-6267	288	7	18	18	NUM
ejpam-6267	288	8	(	(	PUNCT
ejpam-6267	288	9	4	4	NUM
ejpam-6267	288	10	)	)	PUNCT
ejpam-6267	288	11	(	(	PUNCT
ejpam-6267	288	12	2025	2025	NUM
ejpam-6267	288	13	)	)	PUNCT
ejpam-6267	288	14	,	,	PUNCT
ejpam-6267	288	15	6267	6267	NUM
ejpam-6267	288	16	14	14	NUM
ejpam-6267	288	17	of	of	ADP
ejpam-6267	288	18	26	26	NUM
ejpam-6267	288	19	+	+	CCONJ
ejpam-6267	288	20	α2s∗(α2q∗	α2s∗(α2q∗	NUM
ejpam-6267	288	21	−γ	−γ	ADJ
ejpam-6267	288	22	+	+	NUM
ejpam-6267	288	23	γδ))(βs∗	γδ))(βs∗	X
ejpam-6267	288	24	+	+	ADJ
ejpam-6267	288	25	µ)(+α1	µ)(+α1	ADJ
ejpam-6267	288	26	+	+	NOUN
ejpam-6267	288	27	µ	µ	NOUN
ejpam-6267	288	28	)	)	PUNCT
ejpam-6267	288	29	βs∗	βs∗	NOUN
ejpam-6267	288	30	.	.	PUNCT
ejpam-6267	289	1	the	the	DET
ejpam-6267	289	2	eigenvalues	eigenvalue	NOUN
ejpam-6267	289	3	consist	consist	VERB
ejpam-6267	289	4	of	of	ADP
ejpam-6267	289	5	λ1	λ1	ADJ
ejpam-6267	289	6	=	=	SYM
ejpam-6267	289	7	−(βs∗	−(βs∗	PROPN
ejpam-6267	289	8	+	+	PROPN
ejpam-6267	289	9	µ	µ	NOUN
ejpam-6267	289	10	)	)	PUNCT
ejpam-6267	289	11	,	,	PUNCT
ejpam-6267	289	12	and	and	CCONJ
ejpam-6267	289	13	the	the	DET
ejpam-6267	289	14	roots	root	NOUN
ejpam-6267	289	15	of	of	ADP
ejpam-6267	289	16	the	the	DET
ejpam-6267	289	17	λ3	λ3	PROPN
ejpam-6267	289	18	+	+	PROPN
ejpam-6267	289	19	a1λ2	a1λ2	ADJ
ejpam-6267	289	20	+	+	NOUN
ejpam-6267	289	21	a2λ+a3	a2λ+a3	NOUN
ejpam-6267	289	22	=	=	SYM
ejpam-6267	289	23	0	0	NUM
ejpam-6267	289	24	.	.	PUNCT
ejpam-6267	290	1	all	all	DET
ejpam-6267	290	2	eigenvalues	eigenvalue	NOUN
ejpam-6267	290	3	have	have	VERB
ejpam-6267	290	4	negative	negative	ADJ
ejpam-6267	290	5	real	real	ADJ
ejpam-6267	290	6	parts	part	NOUN
ejpam-6267	290	7	if	if	SCONJ
ejpam-6267	291	1	and	and	CCONJ
ejpam-6267	291	2	only	only	ADV
ejpam-6267	291	3	if	if	SCONJ
ejpam-6267	291	4	these	these	DET
ejpam-6267	291	5	conditions	condition	NOUN
ejpam-6267	291	6	are	be	AUX
ejpam-6267	291	7	verified	verify	VERB
ejpam-6267	291	8	:	:	PUNCT
ejpam-6267	291	9	a1	a1	NOUN
ejpam-6267	291	10	>	>	X
ejpam-6267	291	11	0	0	PROPN
ejpam-6267	291	12	,	,	PUNCT
ejpam-6267	291	13	a2	a2	PROPN
ejpam-6267	291	14	>	>	X
ejpam-6267	291	15	0	0	PROPN
ejpam-6267	291	16	,	,	PUNCT
ejpam-6267	291	17	a3	a3	VERB
ejpam-6267	291	18	>	>	X
ejpam-6267	291	19	0	0	NUM
ejpam-6267	291	20	,	,	PUNCT
ejpam-6267	291	21	and	and	CCONJ
ejpam-6267	291	22	a1a2	a1a2	ADP
ejpam-6267	291	23	−a3	−a3	NOUN
ejpam-6267	291	24	>	>	X
ejpam-6267	291	25	0	0	NUM
ejpam-6267	291	26	.	.	PUNCT
ejpam-6267	292	1	hence	hence	ADV
ejpam-6267	292	2	,	,	PUNCT
ejpam-6267	292	3	we	we	PRON
ejpam-6267	292	4	present	present	VERB
ejpam-6267	292	5	the	the	DET
ejpam-6267	292	6	following	follow	VERB
ejpam-6267	292	7	result	result	NOUN
ejpam-6267	292	8	:	:	PUNCT
ejpam-6267	292	9	theorem	theorem	NOUN
ejpam-6267	292	10	5	5	NUM
ejpam-6267	292	11	.	.	PUNCT
ejpam-6267	293	1	the	the	DET
ejpam-6267	293	2	equilibrium	equilibrium	NOUN
ejpam-6267	293	3	e∗	e∗	NOUN
ejpam-6267	293	4	of	of	ADP
ejpam-6267	293	5	system	system	NOUN
ejpam-6267	293	6	(	(	PUNCT
ejpam-6267	293	7	13	13	NUM
ejpam-6267	293	8	)	)	PUNCT
ejpam-6267	293	9	is	be	AUX
ejpam-6267	293	10	locally	locally	ADV
ejpam-6267	293	11	asymptotically	asymptotically	ADV
ejpam-6267	293	12	stable	stable	ADJ
ejpam-6267	293	13	under	under	ADP
ejpam-6267	293	14	the	the	DET
ejpam-6267	293	15	condition	condition	NOUN
ejpam-6267	293	16	that	that	SCONJ
ejpam-6267	293	17	:	:	PUNCT
ejpam-6267	293	18	a1	a1	VERB
ejpam-6267	293	19	>	>	X
ejpam-6267	293	20	0	0	PROPN
ejpam-6267	293	21	,	,	PUNCT
ejpam-6267	293	22	a2	a2	PROPN
ejpam-6267	293	23	>	>	X
ejpam-6267	293	24	0	0	PROPN
ejpam-6267	293	25	,	,	PUNCT
ejpam-6267	293	26	a3	a3	VERB
ejpam-6267	293	27	>	>	X
ejpam-6267	293	28	0	0	PROPN
ejpam-6267	293	29	,	,	PUNCT
ejpam-6267	293	30	and	and	CCONJ
ejpam-6267	293	31	a1a2	a1a2	ADP
ejpam-6267	293	32	>	>	X
ejpam-6267	293	33	a3	a3	NOUN
ejpam-6267	293	34	.	.	PUNCT
ejpam-6267	294	1	5	5	X
ejpam-6267	294	2	.	.	X
ejpam-6267	294	3	a	a	DET
ejpam-6267	294	4	hybrid	hybrid	ADJ
ejpam-6267	294	5	new	new	ADJ
ejpam-6267	294	6	general	general	ADJ
ejpam-6267	294	7	transform	transform	NOUN
ejpam-6267	294	8	adomian	adomian	NOUN
ejpam-6267	294	9	decomposition	decomposition	NOUN
ejpam-6267	294	10	method	method	NOUN
ejpam-6267	294	11	for	for	ADP
ejpam-6267	294	12	solving	solve	VERB
ejpam-6267	294	13	the	the	DET
ejpam-6267	294	14	fractional	fractional	ADJ
ejpam-6267	294	15	model	model	NOUN
ejpam-6267	294	16	the	the	DET
ejpam-6267	294	17	junaid	junaid	PROPN
ejpam-6267	294	18	integral	integral	ADJ
ejpam-6267	294	19	transform	transform	NOUN
ejpam-6267	294	20	-	-	PUNCT
ejpam-6267	294	21	adomian	adomian	NOUN
ejpam-6267	294	22	decomposition	decomposition	NOUN
ejpam-6267	294	23	method	method	NOUN
ejpam-6267	294	24	(	(	PUNCT
ejpam-6267	294	25	tn	tn	NOUN
ejpam-6267	294	26	g	g	PROPN
ejpam-6267	294	27	-	-	PUNCT
ejpam-6267	294	28	adm	adm	PROPN
ejpam-6267	294	29	)	)	PUNCT
ejpam-6267	294	30	is	be	AUX
ejpam-6267	294	31	a	a	DET
ejpam-6267	294	32	hybrid	hybrid	ADJ
ejpam-6267	294	33	approach	approach	NOUN
ejpam-6267	294	34	that	that	PRON
ejpam-6267	294	35	combines	combine	VERB
ejpam-6267	294	36	the	the	DET
ejpam-6267	294	37	junaid	junaid	ADJ
ejpam-6267	294	38	integral	integral	ADJ
ejpam-6267	294	39	transform	transform	NOUN
ejpam-6267	294	40	with	with	ADP
ejpam-6267	294	41	the	the	DET
ejpam-6267	294	42	adm	adm	NOUN
ejpam-6267	294	43	technique	technique	NOUN
ejpam-6267	294	44	.	.	PUNCT
ejpam-6267	295	1	this	this	DET
ejpam-6267	295	2	method	method	NOUN
ejpam-6267	295	3	leverages	leverage	VERB
ejpam-6267	295	4	the	the	DET
ejpam-6267	295	5	strengths	strength	NOUN
ejpam-6267	295	6	of	of	ADP
ejpam-6267	295	7	both	both	DET
ejpam-6267	295	8	techniques	technique	NOUN
ejpam-6267	295	9	to	to	PART
ejpam-6267	295	10	simplify	simplify	VERB
ejpam-6267	295	11	and	and	CCONJ
ejpam-6267	295	12	efficiently	efficiently	ADV
ejpam-6267	295	13	solve	solve	VERB
ejpam-6267	295	14	complex	complex	ADJ
ejpam-6267	295	15	equations	equation	NOUN
ejpam-6267	295	16	.	.	PUNCT
ejpam-6267	296	1	5.1	5.1	NUM
ejpam-6267	296	2	.	.	PUNCT
ejpam-6267	297	1	numerical	numerical	ADJ
ejpam-6267	297	2	solution	solution	NOUN
ejpam-6267	297	3	for	for	ADP
ejpam-6267	297	4	the	the	DET
ejpam-6267	297	5	model	model	NOUN
ejpam-6267	297	6	13	13	NUM
ejpam-6267	297	7	we	we	PRON
ejpam-6267	297	8	can	can	AUX
ejpam-6267	297	9	express	express	VERB
ejpam-6267	297	10	the	the	DET
ejpam-6267	297	11	model	model	NOUN
ejpam-6267	297	12	(	(	PUNCT
ejpam-6267	297	13	13	13	NUM
ejpam-6267	297	14	)	)	PUNCT
ejpam-6267	297	15	as	as	ADP
ejpam-6267	297	16	:(	:(	PUNCT
ejpam-6267	297	17	cdα	cdα	NOUN
ejpam-6267	297	18	0,tz	0,tz	NUM
ejpam-6267	297	19	)	)	PUNCT
ejpam-6267	297	20	(	(	PUNCT
ejpam-6267	297	21	t	t	NOUN
ejpam-6267	297	22	)	)	PUNCT
ejpam-6267	297	23	=	=	SYM
ejpam-6267	297	24	r(t	r(t	NOUN
ejpam-6267	297	25	,	,	PUNCT
ejpam-6267	297	26	z	z	PROPN
ejpam-6267	297	27	(	(	PUNCT
ejpam-6267	297	28	t	t	PROPN
ejpam-6267	297	29	)	)	PUNCT
ejpam-6267	297	30	)	)	PUNCT
ejpam-6267	298	1	=	=	PUNCT
ejpam-6267	298	2	gi	gi	INTJ
ejpam-6267	298	3	(	(	PUNCT
ejpam-6267	298	4	t	t	PROPN
ejpam-6267	298	5	,	,	PUNCT
ejpam-6267	298	6	p	p	X
ejpam-6267	298	7	,	,	PUNCT
ejpam-6267	298	8	o	o	NOUN
ejpam-6267	298	9	,	,	PUNCT
ejpam-6267	298	10	s	s	PROPN
ejpam-6267	298	11	,	,	PUNCT
ejpam-6267	298	12	q	q	NOUN
ejpam-6267	298	13	,	,	PUNCT
ejpam-6267	298	14	l	l	NOUN
ejpam-6267	298	15	)	)	PUNCT
ejpam-6267	298	16	,	,	PUNCT
ejpam-6267	298	17	i	i	PRON
ejpam-6267	298	18	=	=	NOUN
ejpam-6267	298	19	1	1	NUM
ejpam-6267	298	20	,	,	PUNCT
ejpam-6267	298	21	...	...	PUNCT
ejpam-6267	298	22	,	,	PUNCT
ejpam-6267	298	23	5	5	X
ejpam-6267	298	24	.	.	PUNCT
ejpam-6267	298	25	(	(	PUNCT
ejpam-6267	298	26	30	30	NUM
ejpam-6267	298	27	)	)	PUNCT
ejpam-6267	298	28	z	z	NOUN
ejpam-6267	298	29	(	(	PUNCT
ejpam-6267	298	30	0	0	NUM
ejpam-6267	298	31	)	)	PUNCT
ejpam-6267	298	32	=	=	SYM
ejpam-6267	298	33	z0	z0	PROPN
ejpam-6267	298	34	,	,	PUNCT
ejpam-6267	298	35	(	(	PUNCT
ejpam-6267	298	36	31	31	NUM
ejpam-6267	298	37	)	)	PUNCT
ejpam-6267	298	38	where	where	SCONJ
ejpam-6267	298	39	z	z	NOUN
ejpam-6267	298	40	(	(	PUNCT
ejpam-6267	298	41	t	t	PROPN
ejpam-6267	298	42	)	)	PUNCT
ejpam-6267	298	43	=	=	PUNCT
ejpam-6267	299	1	(	(	PUNCT
ejpam-6267	299	2	p	p	X
ejpam-6267	299	3	,	,	PUNCT
ejpam-6267	299	4	o	o	NOUN
ejpam-6267	299	5	,	,	PUNCT
ejpam-6267	299	6	s	s	PROPN
ejpam-6267	299	7	,	,	PUNCT
ejpam-6267	299	8	q	q	NOUN
ejpam-6267	299	9	,	,	PUNCT
ejpam-6267	299	10	l	l	NOUN
ejpam-6267	299	11	)	)	PUNCT
ejpam-6267	299	12	,	,	PUNCT
ejpam-6267	299	13	z	z	NOUN
ejpam-6267	299	14	(	(	PUNCT
ejpam-6267	299	15	0	0	NUM
ejpam-6267	299	16	)	)	PUNCT
ejpam-6267	299	17	=	=	SYM
ejpam-6267	299	18	(	(	PUNCT
ejpam-6267	299	19	b1	b1	NOUN
ejpam-6267	299	20	,	,	PUNCT
ejpam-6267	299	21	b2	b2	NOUN
ejpam-6267	299	22	,	,	PUNCT
ejpam-6267	299	23	b3	b3	PROPN
ejpam-6267	299	24	,	,	PUNCT
ejpam-6267	299	25	b4	b4	NOUN
ejpam-6267	299	26	,	,	PUNCT
ejpam-6267	299	27	b5	b5	PROPN
ejpam-6267	299	28	)	)	PUNCT
ejpam-6267	299	29	.	.	PUNCT
ejpam-6267	300	1	given	give	VERB
ejpam-6267	300	2	that	that	SCONJ
ejpam-6267	300	3	gi(0	gi(0	NOUN
ejpam-6267	300	4	)	)	PUNCT
ejpam-6267	300	5	=	=	SYM
ejpam-6267	300	6	0	0	NUM
ejpam-6267	300	7	,	,	PUNCT
ejpam-6267	300	8	the	the	DET
ejpam-6267	300	9	problem	problem	NOUN
ejpam-6267	300	10	has	have	VERB
ejpam-6267	300	11	a	a	DET
ejpam-6267	300	12	solution	solution	NOUN
ejpam-6267	300	13	.	.	PUNCT
ejpam-6267	301	1	upon	upon	SCONJ
ejpam-6267	301	2	applying	apply	VERB
ejpam-6267	301	3	the	the	DET
ejpam-6267	301	4	iα	iα	NOUN
ejpam-6267	301	5	a+	a+	PUNCT
ejpam-6267	301	6	to	to	ADP
ejpam-6267	301	7	both	both	DET
ejpam-6267	301	8	sides	side	NOUN
ejpam-6267	301	9	of	of	ADP
ejpam-6267	301	10	30	30	NUM
ejpam-6267	301	11	,	,	PUNCT
ejpam-6267	301	12	we	we	PRON
ejpam-6267	301	13	obtain	obtain	VERB
ejpam-6267	301	14	:	:	PUNCT
ejpam-6267	301	15	y	y	PROPN
ejpam-6267	301	16	(	(	PUNCT
ejpam-6267	301	17	t)−z	t)−z	X
ejpam-6267	301	18	(	(	PUNCT
ejpam-6267	301	19	0	0	NUM
ejpam-6267	301	20	)	)	PUNCT
ejpam-6267	301	21	=	=	PRON
ejpam-6267	301	22	iα	iα	ADP
ejpam-6267	301	23	a+(r(t	a+(r(t	PROPN
ejpam-6267	301	24	,	,	PUNCT
ejpam-6267	301	25	z	z	PROPN
ejpam-6267	301	26	(	(	PUNCT
ejpam-6267	301	27	t	t	PROPN
ejpam-6267	301	28	)	)	PUNCT
ejpam-6267	301	29	)	)	PUNCT
ejpam-6267	301	30	)	)	PUNCT
ejpam-6267	301	31	.	.	PUNCT
ejpam-6267	302	1	(	(	PUNCT
ejpam-6267	302	2	32	32	NUM
ejpam-6267	302	3	)	)	PUNCT
ejpam-6267	302	4	the	the	DET
ejpam-6267	302	5	application	application	NOUN
ejpam-6267	302	6	of	of	ADP
ejpam-6267	302	7	the	the	DET
ejpam-6267	302	8	tn	tn	NOUN
ejpam-6267	302	9	g	g	PROPN
ejpam-6267	302	10	transform	transform	NOUN
ejpam-6267	302	11	to	to	ADP
ejpam-6267	302	12	both	both	DET
ejpam-6267	302	13	sides	side	NOUN
ejpam-6267	302	14	of	of	ADP
ejpam-6267	302	15	32	32	NUM
ejpam-6267	302	16	,	,	PUNCT
ejpam-6267	302	17	yields	yield	VERB
ejpam-6267	302	18	the	the	DET
ejpam-6267	302	19	following	follow	VERB
ejpam-6267	302	20	relation	relation	NOUN
ejpam-6267	302	21	:	:	PUNCT
ejpam-6267	302	22	tn	tn	PROPN
ejpam-6267	302	23	g	g	PROPN
ejpam-6267	303	1	[	[	X
ejpam-6267	303	2	z	z	X
ejpam-6267	303	3	(	(	PUNCT
ejpam-6267	303	4	t)]−tn	t)]−tn	X
ejpam-6267	303	5	g	g	PROPN
ejpam-6267	304	1	[	[	X
ejpam-6267	304	2	z	z	X
ejpam-6267	304	3	(	(	PUNCT
ejpam-6267	304	4	0	0	NUM
ejpam-6267	304	5	)	)	PUNCT
ejpam-6267	304	6	]	]	PUNCT
ejpam-6267	305	1	=	=	PUNCT
ejpam-6267	305	2	(	(	PUNCT
ejpam-6267	305	3	k	k	X
ejpam-6267	305	4	(	(	PUNCT
ejpam-6267	305	5	s	s	NOUN
ejpam-6267	305	6	)	)	PUNCT
ejpam-6267	305	7	b(s	b(	NOUN
ejpam-6267	305	8	)	)	PUNCT
ejpam-6267	305	9	)	)	PUNCT
ejpam-6267	306	1	α	α	PROPN
ejpam-6267	306	2	tn	tn	NOUN
ejpam-6267	307	1	g	g	PROPN
ejpam-6267	307	2	[	[	X
ejpam-6267	307	3	r(t	r(t	NOUN
ejpam-6267	307	4	,	,	PUNCT
ejpam-6267	307	5	z	z	PROPN
ejpam-6267	307	6	(	(	PUNCT
ejpam-6267	307	7	t	t	PROPN
ejpam-6267	307	8	)	)	PUNCT
ejpam-6267	307	9	)	)	PUNCT
ejpam-6267	307	10	]	]	PUNCT
ejpam-6267	308	1	,	,	PUNCT
ejpam-6267	308	2	(	(	PUNCT
ejpam-6267	308	3	33	33	NUM
ejpam-6267	308	4	)	)	PUNCT
ejpam-6267	308	5	r.	r.	NOUN
ejpam-6267	308	6	belgacem	belgacem	NOUN
ejpam-6267	308	7	et	et	PROPN
ejpam-6267	308	8	al	al	PROPN
ejpam-6267	308	9	.	.	PUNCT
ejpam-6267	308	10	/	/	SYM
ejpam-6267	308	11	eur	eur	PROPN
ejpam-6267	308	12	.	.	PUNCT
ejpam-6267	309	1	j.	j.	PROPN
ejpam-6267	309	2	pure	pure	PROPN
ejpam-6267	309	3	appl	appl	PROPN
ejpam-6267	309	4	.	.	PROPN
ejpam-6267	309	5	math	math	PROPN
ejpam-6267	309	6	,	,	PUNCT
ejpam-6267	309	7	18	18	NUM
ejpam-6267	309	8	(	(	PUNCT
ejpam-6267	309	9	4	4	NUM
ejpam-6267	309	10	)	)	PUNCT
ejpam-6267	309	11	(	(	PUNCT
ejpam-6267	309	12	2025	2025	NUM
ejpam-6267	309	13	)	)	PUNCT
ejpam-6267	309	14	,	,	PUNCT
ejpam-6267	309	15	6267	6267	NUM
ejpam-6267	309	16	15	15	NUM
ejpam-6267	309	17	of	of	ADP
ejpam-6267	309	18	26	26	NUM
ejpam-6267	309	19	with	with	ADP
ejpam-6267	309	20	initial	initial	ADJ
ejpam-6267	309	21	conditions	condition	NOUN
ejpam-6267	309	22	30	30	NUM
ejpam-6267	309	23	.	.	PUNCT
ejpam-6267	310	1	hence:	hence:	NOUN
ejpam-6267	310	2	tn	tn	PROPN
ejpam-6267	310	3	g	g	PROPN
ejpam-6267	310	4	[	[	X
ejpam-6267	310	5	(	(	PUNCT
ejpam-6267	310	6	p	p	X
ejpam-6267	310	7	(	(	PUNCT
ejpam-6267	310	8	t	t	PROPN
ejpam-6267	310	9	)	)	PUNCT
ejpam-6267	310	10	)	)	PUNCT
ejpam-6267	310	11	]	]	PUNCT
ejpam-6267	311	1	=	=	PUNCT
ejpam-6267	311	2	m(s	m(s	PROPN
ejpam-6267	311	3	)	)	PUNCT
ejpam-6267	311	4	b(s	b(	NOUN
ejpam-6267	311	5	)	)	PUNCT
ejpam-6267	311	6	b1	b1	NOUN
ejpam-6267	311	7	+	+	CCONJ
ejpam-6267	311	8	(	(	PUNCT
ejpam-6267	311	9	k	k	X
ejpam-6267	311	10	(	(	PUNCT
ejpam-6267	311	11	s	s	NOUN
ejpam-6267	311	12	)	)	PUNCT
ejpam-6267	311	13	b(s	b(	NOUN
ejpam-6267	311	14	)	)	PUNCT
ejpam-6267	311	15	)	)	PUNCT
ejpam-6267	312	1	α	α	PROPN
ejpam-6267	312	2	tn	tn	NOUN
ejpam-6267	313	1	g	g	PROPN
ejpam-6267	314	1	[	[	X
ejpam-6267	314	2	λ−βp	λ−βp	PROPN
ejpam-6267	314	3	(	(	PUNCT
ejpam-6267	314	4	t)s(t)−µp	t)s(t)−µp	PROPN
ejpam-6267	314	5	(	(	PUNCT
ejpam-6267	314	6	t	t	PROPN
ejpam-6267	314	7	)	)	PUNCT
ejpam-6267	314	8	]	]	PUNCT
ejpam-6267	314	9	,	,	PUNCT
ejpam-6267	314	10	tn	tn	PROPN
ejpam-6267	314	11	g	g	PROPN
ejpam-6267	315	1	[	[	X
ejpam-6267	315	2	(	(	PUNCT
ejpam-6267	315	3	o	o	X
ejpam-6267	315	4	(	(	PUNCT
ejpam-6267	315	5	t	t	PROPN
ejpam-6267	315	6	)	)	PUNCT
ejpam-6267	315	7	)	)	PUNCT
ejpam-6267	315	8	]	]	PUNCT
ejpam-6267	315	9	=	=	PUNCT
ejpam-6267	315	10	m(s	m(s	PROPN
ejpam-6267	315	11	)	)	PUNCT
ejpam-6267	315	12	b(s	b(s	PROPN
ejpam-6267	315	13	)	)	PUNCT
ejpam-6267	315	14	b2	b2	NOUN
ejpam-6267	315	15	+	+	CCONJ
ejpam-6267	315	16	(	(	PUNCT
ejpam-6267	315	17	k	k	X
ejpam-6267	315	18	(	(	PUNCT
ejpam-6267	315	19	s	s	NOUN
ejpam-6267	315	20	)	)	PUNCT
ejpam-6267	315	21	b(s	b(	NOUN
ejpam-6267	315	22	)	)	PUNCT
ejpam-6267	315	23	)	)	PUNCT
ejpam-6267	316	1	α	α	PROPN
ejpam-6267	316	2	tn	tn	NOUN
ejpam-6267	317	1	g	g	PROPN
ejpam-6267	318	1	[	[	X
ejpam-6267	318	2	βp	βp	X
ejpam-6267	318	3	(	(	PUNCT
ejpam-6267	318	4	t)s(t)−α1o(t)−µo(t	t)s(t)−α1o(t)−µo(t	PROPN
ejpam-6267	318	5	)	)	PUNCT
ejpam-6267	318	6	]	]	PUNCT
ejpam-6267	318	7	,	,	PUNCT
ejpam-6267	318	8	tn	tn	PROPN
ejpam-6267	318	9	g	g	PROPN
ejpam-6267	318	10	[	[	X
ejpam-6267	318	11	(	(	PUNCT
ejpam-6267	318	12	s	s	X
ejpam-6267	318	13	(	(	PUNCT
ejpam-6267	318	14	t	t	PROPN
ejpam-6267	318	15	)	)	PUNCT
ejpam-6267	318	16	)	)	PUNCT
ejpam-6267	318	17	]	]	PUNCT
ejpam-6267	319	1	=	=	PUNCT
ejpam-6267	319	2	m(s	m(s	PROPN
ejpam-6267	319	3	)	)	PUNCT
ejpam-6267	319	4	b(s	b(	NOUN
ejpam-6267	319	5	)	)	PUNCT
ejpam-6267	319	6	b3	b3	PROPN
ejpam-6267	319	7	+	+	CCONJ
ejpam-6267	319	8	(	(	PUNCT
ejpam-6267	319	9	k	k	X
ejpam-6267	319	10	(	(	PUNCT
ejpam-6267	319	11	s	s	NOUN
ejpam-6267	319	12	)	)	PUNCT
ejpam-6267	319	13	b(s	b(	NOUN
ejpam-6267	319	14	)	)	PUNCT
ejpam-6267	319	15	)	)	PUNCT
ejpam-6267	320	1	α	α	PROPN
ejpam-6267	320	2	tn	tn	NOUN
ejpam-6267	321	1	g	g	PROPN
ejpam-6267	322	1	[	[	X
ejpam-6267	322	2	α1o(t)+α2s(t)q(t)−	α1o(t)+α2s(t)q(t)−	PROPN
ejpam-6267	322	3	(	(	PUNCT
ejpam-6267	322	4	µ+γ)s(t	µ+γ)s(t	PROPN
ejpam-6267	322	5	)	)	PUNCT
ejpam-6267	322	6	]	]	PUNCT
ejpam-6267	322	7	,	,	PUNCT
ejpam-6267	322	8	tn	tn	PROPN
ejpam-6267	322	9	g	g	PROPN
ejpam-6267	323	1	[	[	X
ejpam-6267	323	2	(	(	PUNCT
ejpam-6267	323	3	q(t	q(t	ADJ
ejpam-6267	323	4	)	)	PUNCT
ejpam-6267	323	5	)	)	PUNCT
ejpam-6267	323	6	]	]	PUNCT
ejpam-6267	324	1	=	=	PUNCT
ejpam-6267	324	2	m(s	m(s	PROPN
ejpam-6267	324	3	)	)	PUNCT
ejpam-6267	324	4	b(s	b(	NOUN
ejpam-6267	324	5	)	)	PUNCT
ejpam-6267	324	6	b4	b4	NOUN
ejpam-6267	324	7	+	+	CCONJ
ejpam-6267	324	8	(	(	PUNCT
ejpam-6267	324	9	k	k	X
ejpam-6267	324	10	(	(	PUNCT
ejpam-6267	324	11	s	s	NOUN
ejpam-6267	324	12	)	)	PUNCT
ejpam-6267	324	13	b(s	b(	NOUN
ejpam-6267	324	14	)	)	PUNCT
ejpam-6267	324	15	)	)	PUNCT
ejpam-6267	325	1	α	α	PROPN
ejpam-6267	325	2	tn	tn	NOUN
ejpam-6267	326	1	g	g	PROPN
ejpam-6267	327	1	[	[	X
ejpam-6267	327	2	−α2s(t)q(t)−µq(t)+γ	−α2s(t)q(t)−µq(t)+γ	X
ejpam-6267	327	3	(	(	PUNCT
ejpam-6267	327	4	1−	1−	NUM
ejpam-6267	327	5	δ)s(t	δ)s(t	NOUN
ejpam-6267	327	6	)	)	PUNCT
ejpam-6267	327	7	]	]	PUNCT
ejpam-6267	327	8	,	,	PUNCT
ejpam-6267	327	9	tn	tn	PROPN
ejpam-6267	327	10	g	g	PROPN
ejpam-6267	327	11	[	[	X
ejpam-6267	327	12	(	(	PUNCT
ejpam-6267	327	13	l(t	l(t	PROPN
ejpam-6267	327	14	)	)	PUNCT
ejpam-6267	327	15	)	)	PUNCT
ejpam-6267	327	16	]	]	PUNCT
ejpam-6267	327	17	=	=	PUNCT
ejpam-6267	327	18	m(s	m(s	PROPN
ejpam-6267	327	19	)	)	PUNCT
ejpam-6267	327	20	b(s	b(	NOUN
ejpam-6267	327	21	)	)	PUNCT
ejpam-6267	328	1	b5	b5	PROPN
ejpam-6267	328	2	+	+	CCONJ
ejpam-6267	328	3	(	(	PUNCT
ejpam-6267	328	4	k	k	X
ejpam-6267	328	5	(	(	PUNCT
ejpam-6267	328	6	s	s	NOUN
ejpam-6267	328	7	)	)	PUNCT
ejpam-6267	328	8	b(s	b(	NOUN
ejpam-6267	328	9	)	)	PUNCT
ejpam-6267	328	10	)	)	PUNCT
ejpam-6267	329	1	α	α	PROPN
ejpam-6267	329	2	tn	tn	NOUN
ejpam-6267	330	1	g	g	PROPN
ejpam-6267	330	2	[	[	X
ejpam-6267	330	3	δγs(t)−µl(t	δγs(t)−µl(t	X
ejpam-6267	330	4	)	)	PUNCT
ejpam-6267	330	5	]	]	PUNCT
ejpam-6267	330	6	.	.	PUNCT
ejpam-6267	331	1	(	(	PUNCT
ejpam-6267	331	2	34	34	NUM
ejpam-6267	331	3	)	)	PUNCT
ejpam-6267	331	4	assuming	assume	VERB
ejpam-6267	331	5	the	the	DET
ejpam-6267	331	6	method	method	NOUN
ejpam-6267	331	7	yields	yield	VERB
ejpam-6267	331	8	the	the	DET
ejpam-6267	331	9	solution	solution	NOUN
ejpam-6267	331	10	as	as	ADP
ejpam-6267	331	11	:	:	PUNCT
ejpam-6267	331	12	p(t	p(t	NOUN
ejpam-6267	331	13	)	)	PUNCT
ejpam-6267	332	1	=	=	PUNCT
ejpam-6267	333	1	∞∑	∞∑	PRON
ejpam-6267	333	2	n=0	n=0	NUM
ejpam-6267	333	3	pn(t	pn(t	NUM
ejpam-6267	333	4	)	)	PUNCT
ejpam-6267	333	5	,	,	PUNCT
ejpam-6267	333	6	o(t	o(t	PROPN
ejpam-6267	333	7	)	)	PUNCT
ejpam-6267	334	1	=	=	PUNCT
ejpam-6267	335	1	∞∑	∞∑	NOUN
ejpam-6267	335	2	n=0	n=0	NUM
ejpam-6267	335	3	on(t	on(t	NUM
ejpam-6267	335	4	)	)	PUNCT
ejpam-6267	335	5	,	,	PUNCT
ejpam-6267	335	6	s(t	s(t	PROPN
ejpam-6267	335	7	)	)	PUNCT
ejpam-6267	335	8	=	=	PUNCT
ejpam-6267	336	1	∞∑	∞∑	PRON
ejpam-6267	336	2	n=0	n=0	NUM
ejpam-6267	336	3	sn(t	sn(t	NUM
ejpam-6267	336	4	)	)	PUNCT
ejpam-6267	336	5	,	,	PUNCT
ejpam-6267	336	6	q(t	q(t	PROPN
ejpam-6267	336	7	)	)	PUNCT
ejpam-6267	336	8	=	=	PUNCT
ejpam-6267	337	1	∞∑	∞∑	PRON
ejpam-6267	337	2	n=0	n=0	NUM
ejpam-6267	337	3	qn(t	qn(t	NUM
ejpam-6267	337	4	)	)	PUNCT
ejpam-6267	337	5	,	,	PUNCT
ejpam-6267	337	6	l(t	l(t	PROPN
ejpam-6267	337	7	)	)	PUNCT
ejpam-6267	337	8	=	=	PUNCT
ejpam-6267	338	1	∞∑	∞∑	PRON
ejpam-6267	338	2	n=0	n=0	NUM
ejpam-6267	338	3	ln(t	ln(t	NUM
ejpam-6267	338	4	)	)	PUNCT
ejpam-6267	338	5	.	.	PUNCT
ejpam-6267	339	1	(	(	PUNCT
ejpam-6267	339	2	35	35	NUM
ejpam-6267	339	3	)	)	PUNCT
ejpam-6267	339	4	the	the	DET
ejpam-6267	339	5	expressions	expression	NOUN
ejpam-6267	339	6	for	for	ADP
ejpam-6267	339	7	ps	ps	PROPN
ejpam-6267	339	8	and	and	CCONJ
ejpam-6267	339	9	sq	sq	PROPN
ejpam-6267	339	10	are	be	AUX
ejpam-6267	339	11	:	:	PUNCT
ejpam-6267	339	12	p(t)s(t	p(t)s(t	NUM
ejpam-6267	339	13	)	)	PUNCT
ejpam-6267	339	14	=	=	PUNCT
ejpam-6267	340	1	∞∑	∞∑	PRON
ejpam-6267	340	2	n=0	n=0	NUM
ejpam-6267	340	3	xn(t	xn(t	NUM
ejpam-6267	340	4	)	)	PUNCT
ejpam-6267	340	5	,	,	PUNCT
ejpam-6267	340	6	s(t)q(t	s(t)q(t	NOUN
ejpam-6267	340	7	)	)	PUNCT
ejpam-6267	340	8	=	=	PUNCT
ejpam-6267	341	1	∞∑	∞∑	PRON
ejpam-6267	341	2	n=0	n=0	NUM
ejpam-6267	341	3	zn(t	zn(t	NUM
ejpam-6267	341	4	)	)	PUNCT
ejpam-6267	341	5	,	,	PUNCT
ejpam-6267	341	6	(	(	PUNCT
ejpam-6267	341	7	36	36	NUM
ejpam-6267	341	8	)	)	PUNCT
ejpam-6267	341	9	where	where	SCONJ
ejpam-6267	341	10	xn	xn	PROPN
ejpam-6267	341	11	and	and	CCONJ
ejpam-6267	341	12	zn	zn	PROPN
ejpam-6267	341	13	is	be	AUX
ejpam-6267	341	14	as	as	ADP
ejpam-6267	341	15	:	:	PUNCT
ejpam-6267	341	16	xm(t	xm(t	NUM
ejpam-6267	341	17	)	)	PUNCT
ejpam-6267	342	1	=	=	PUNCT
ejpam-6267	342	2	1	1	NUM
ejpam-6267	342	3	m	m	NOUN
ejpam-6267	342	4	!	!	PUNCT
ejpam-6267	343	1	dm	dm	AUX
ejpam-6267	343	2	dλm	dλm	ADV
ejpam-6267	343	3	[	[	PUNCT
ejpam-6267	343	4	m∑	m∑	CCONJ
ejpam-6267	343	5	n=0	n=0	NUM
ejpam-6267	343	6	λnpn(t	λnpn(t	NOUN
ejpam-6267	343	7	)	)	PUNCT
ejpam-6267	344	1	m∑	m∑	CCONJ
ejpam-6267	344	2	n=0	n=0	PROPN
ejpam-6267	344	3	λnsn(t	λnsn(t	PROPN
ejpam-6267	344	4	)	)	PUNCT
ejpam-6267	344	5	]	]	PUNCT
ejpam-6267	345	1	λ=0	λ=0	X
ejpam-6267	345	2	,	,	PUNCT
ejpam-6267	345	3	(	(	PUNCT
ejpam-6267	345	4	37	37	NUM
ejpam-6267	345	5	)	)	PUNCT
ejpam-6267	345	6	zm(t	zm(t	NOUN
ejpam-6267	345	7	)	)	PUNCT
ejpam-6267	345	8	=	=	PUNCT
ejpam-6267	345	9	1	1	NUM
ejpam-6267	345	10	m	m	NOUN
ejpam-6267	345	11	!	!	PUNCT
ejpam-6267	346	1	dm	dm	AUX
ejpam-6267	346	2	dλm	dλm	ADV
ejpam-6267	346	3	[	[	PUNCT
ejpam-6267	346	4	m∑	m∑	CCONJ
ejpam-6267	346	5	n=0	n=0	PROPN
ejpam-6267	346	6	λnsn(t	λnsn(t	PROPN
ejpam-6267	346	7	)	)	PUNCT
ejpam-6267	346	8	m∑	m∑	CCONJ
ejpam-6267	346	9	n=0	n=0	NUM
ejpam-6267	346	10	λnqn(t	λnqn(t	NOUN
ejpam-6267	346	11	)	)	PUNCT
ejpam-6267	346	12	]	]	PUNCT
ejpam-6267	347	1	λ=0	λ=0	X
ejpam-6267	347	2	.	.	PUNCT
ejpam-6267	348	1	(	(	PUNCT
ejpam-6267	348	2	38	38	NUM
ejpam-6267	348	3	)	)	PUNCT
ejpam-6267	348	4	substituting	substituting	NOUN
ejpam-6267	348	5	(	(	PUNCT
ejpam-6267	348	6	35	35	NUM
ejpam-6267	348	7	)	)	PUNCT
ejpam-6267	348	8	and	and	CCONJ
ejpam-6267	348	9	(	(	PUNCT
ejpam-6267	348	10	36	36	NUM
ejpam-6267	348	11	)	)	PUNCT
ejpam-6267	348	12	into	into	ADP
ejpam-6267	348	13	(	(	PUNCT
ejpam-6267	348	14	34	34	NUM
ejpam-6267	348	15	)	)	PUNCT
ejpam-6267	348	16	results	result	VERB
ejpam-6267	348	17	in:	in:	ADJ
ejpam-6267	348	18	tn	tn	NOUN
ejpam-6267	348	19	g	g	NOUN
ejpam-6267	348	20	[	[	PUNCT
ejpam-6267	348	21	∑∞	∑∞	NOUN
ejpam-6267	348	22	n=0	n=0	NUM
ejpam-6267	348	23	pn(t	pn(t	NOUN
ejpam-6267	348	24	)	)	PUNCT
ejpam-6267	348	25	]	]	PUNCT
ejpam-6267	349	1	=	=	PUNCT
ejpam-6267	349	2	m(s	m(s	PROPN
ejpam-6267	349	3	)	)	PUNCT
ejpam-6267	349	4	b(s	b(	NOUN
ejpam-6267	349	5	)	)	PUNCT
ejpam-6267	349	6	b1	b1	NOUN
ejpam-6267	349	7	+	+	CCONJ
ejpam-6267	349	8	(	(	PUNCT
ejpam-6267	349	9	k	k	X
ejpam-6267	349	10	(	(	PUNCT
ejpam-6267	349	11	s	s	NOUN
ejpam-6267	349	12	)	)	PUNCT
ejpam-6267	349	13	b(s	b(	NOUN
ejpam-6267	349	14	)	)	PUNCT
ejpam-6267	349	15	)	)	PUNCT
ejpam-6267	350	1	α	α	PROPN
ejpam-6267	350	2	tn	tn	NOUN
ejpam-6267	351	1	g	g	PROPN
ejpam-6267	351	2	[	[	X
ejpam-6267	351	3	λ−β	λ−β	X
ejpam-6267	351	4	∑∞	∑∞	X
ejpam-6267	351	5	n=0	n=0	NUM
ejpam-6267	351	6	xn(t)−µ	xn(t)−µ	PROPN
ejpam-6267	351	7	∑∞	∑∞	NOUN
ejpam-6267	351	8	n=0	n=0	NUM
ejpam-6267	351	9	pn(t	pn(t	NOUN
ejpam-6267	351	10	)	)	PUNCT
ejpam-6267	351	11	]	]	PUNCT
ejpam-6267	351	12	,	,	PUNCT
ejpam-6267	351	13	tn	tn	PROPN
ejpam-6267	351	14	g	g	NOUN
ejpam-6267	351	15	[	[	PUNCT
ejpam-6267	351	16	∑∞	∑∞	NOUN
ejpam-6267	351	17	n=0	n=0	NUM
ejpam-6267	351	18	on(t	on(t	NUM
ejpam-6267	351	19	)	)	PUNCT
ejpam-6267	351	20	]	]	PUNCT
ejpam-6267	352	1	=	=	PUNCT
ejpam-6267	352	2	m(s	m(s	PROPN
ejpam-6267	352	3	)	)	PUNCT
ejpam-6267	352	4	b(s	b(s	PROPN
ejpam-6267	352	5	)	)	PUNCT
ejpam-6267	352	6	b2	b2	NOUN
ejpam-6267	352	7	+	+	CCONJ
ejpam-6267	352	8	(	(	PUNCT
ejpam-6267	352	9	k	k	X
ejpam-6267	352	10	(	(	PUNCT
ejpam-6267	352	11	s	s	NOUN
ejpam-6267	352	12	)	)	PUNCT
ejpam-6267	352	13	b(s	b(	NOUN
ejpam-6267	352	14	)	)	PUNCT
ejpam-6267	352	15	)	)	PUNCT
ejpam-6267	353	1	α	α	PROPN
ejpam-6267	353	2	tn	tn	NOUN
ejpam-6267	354	1	g	g	PROPN
ejpam-6267	354	2	[	[	X
ejpam-6267	354	3	β	β	X
ejpam-6267	354	4	∑∞	∑∞	NOUN
ejpam-6267	354	5	n=0	n=0	NUM
ejpam-6267	354	6	xn(t)−α1	xn(t)−α1	NUM
ejpam-6267	354	7	∑∞	∑∞	NOUN
ejpam-6267	354	8	n=0	n=0	NUM
ejpam-6267	354	9	on(t)−µς∞	on(t)−µς∞	ADJ
ejpam-6267	354	10	n=0on(t	n=0on(t	NOUN
ejpam-6267	354	11	)	)	PUNCT
ejpam-6267	354	12	]	]	PUNCT
ejpam-6267	354	13	,	,	PUNCT
ejpam-6267	354	14	tn	tn	PROPN
ejpam-6267	354	15	g	g	NOUN
ejpam-6267	354	16	[	[	PUNCT
ejpam-6267	354	17	∑∞	∑∞	X
ejpam-6267	354	18	n=0	n=0	NUM
ejpam-6267	354	19	sn(t	sn(t	NOUN
ejpam-6267	354	20	)	)	PUNCT
ejpam-6267	354	21	]	]	PUNCT
ejpam-6267	355	1	=	=	PUNCT
ejpam-6267	355	2	m(s	m(s	PROPN
ejpam-6267	355	3	)	)	PUNCT
ejpam-6267	355	4	b(s	b(	NOUN
ejpam-6267	355	5	)	)	PUNCT
ejpam-6267	355	6	b3	b3	PROPN
ejpam-6267	355	7	+	+	CCONJ
ejpam-6267	355	8	(	(	PUNCT
ejpam-6267	355	9	k	k	X
ejpam-6267	355	10	(	(	PUNCT
ejpam-6267	355	11	s	s	NOUN
ejpam-6267	355	12	)	)	PUNCT
ejpam-6267	355	13	b(s	b(	NOUN
ejpam-6267	355	14	)	)	PUNCT
ejpam-6267	355	15	)	)	PUNCT
ejpam-6267	356	1	α	α	PROPN
ejpam-6267	356	2	tn	tn	NOUN
ejpam-6267	357	1	g	g	PROPN
ejpam-6267	357	2	[	[	X
ejpam-6267	357	3	α1	α1	PROPN
ejpam-6267	357	4	∑∞	∑∞	NOUN
ejpam-6267	357	5	n=0	n=0	PUNCT
ejpam-6267	357	6	on(t)+α2	on(t)+α2	PRON
ejpam-6267	357	7	∑∞	∑∞	NOUN
ejpam-6267	357	8	n=0	n=0	X
ejpam-6267	357	9	zn(t)−	zn(t)−	PROPN
ejpam-6267	357	10	(	(	PUNCT
ejpam-6267	357	11	µ+γ	µ+γ	NUM
ejpam-6267	357	12	)	)	PUNCT
ejpam-6267	357	13	∑∞	∑∞	NOUN
ejpam-6267	357	14	n=0	n=0	NUM
ejpam-6267	357	15	sn(t	sn(t	NOUN
ejpam-6267	357	16	)	)	PUNCT
ejpam-6267	357	17	]	]	PUNCT
ejpam-6267	357	18	,	,	PUNCT
ejpam-6267	357	19	tn	tn	PROPN
ejpam-6267	357	20	g	g	NOUN
ejpam-6267	357	21	[	[	PUNCT
ejpam-6267	357	22	∑∞	∑∞	X
ejpam-6267	357	23	n=0	n=0	NUM
ejpam-6267	357	24	qn(t	qn(t	NUM
ejpam-6267	357	25	)	)	PUNCT
ejpam-6267	357	26	]	]	PUNCT
ejpam-6267	358	1	=	=	PUNCT
ejpam-6267	358	2	m(s	m(s	PROPN
ejpam-6267	358	3	)	)	PUNCT
ejpam-6267	358	4	b(s	b(	NOUN
ejpam-6267	358	5	)	)	PUNCT
ejpam-6267	358	6	b4	b4	NOUN
ejpam-6267	358	7	+	+	CCONJ
ejpam-6267	358	8	(	(	PUNCT
ejpam-6267	358	9	k	k	X
ejpam-6267	358	10	(	(	PUNCT
ejpam-6267	358	11	s	s	NOUN
ejpam-6267	358	12	)	)	PUNCT
ejpam-6267	358	13	b(s	b(	NOUN
ejpam-6267	358	14	)	)	PUNCT
ejpam-6267	358	15	)	)	PUNCT
ejpam-6267	359	1	α	α	PROPN
ejpam-6267	359	2	tn	tn	NOUN
ejpam-6267	360	1	g	g	PROPN
ejpam-6267	360	2	[	[	X
ejpam-6267	360	3	−α2	−α2	PROPN
ejpam-6267	360	4	∑∞	∑∞	X
ejpam-6267	360	5	n=0	n=0	NUM
ejpam-6267	360	6	zn(t)−µ	zn(t)−µ	NOUN
ejpam-6267	360	7	∑∞	∑∞	NOUN
ejpam-6267	360	8	n=0	n=0	X
ejpam-6267	360	9	qn(t)+γ	qn(t)+γ	PROPN
ejpam-6267	360	10	(	(	PUNCT
ejpam-6267	360	11	1−	1−	NUM
ejpam-6267	360	12	δ	δ	NOUN
ejpam-6267	360	13	)	)	PUNCT
ejpam-6267	360	14	∑∞	∑∞	NOUN
ejpam-6267	360	15	n=0	n=0	NUM
ejpam-6267	360	16	sn(t	sn(t	NOUN
ejpam-6267	360	17	)	)	PUNCT
ejpam-6267	360	18	]	]	PUNCT
ejpam-6267	360	19	,	,	PUNCT
ejpam-6267	360	20	tn	tn	PROPN
ejpam-6267	360	21	g	g	NOUN
ejpam-6267	360	22	[	[	PUNCT
ejpam-6267	360	23	∑∞	∑∞	NOUN
ejpam-6267	360	24	n=0	n=0	NUM
ejpam-6267	360	25	ln(t	ln(t	PUNCT
ejpam-6267	360	26	)	)	PUNCT
ejpam-6267	360	27	]	]	PUNCT
ejpam-6267	361	1	=	=	PUNCT
ejpam-6267	361	2	m(s	m(s	PROPN
ejpam-6267	361	3	)	)	PUNCT
ejpam-6267	361	4	b(s	b(	NOUN
ejpam-6267	361	5	)	)	PUNCT
ejpam-6267	361	6	b5	b5	PROPN
ejpam-6267	362	1	+	+	CCONJ
ejpam-6267	362	2	(	(	PUNCT
ejpam-6267	362	3	k	k	X
ejpam-6267	362	4	(	(	PUNCT
ejpam-6267	362	5	s	s	NOUN
ejpam-6267	362	6	)	)	PUNCT
ejpam-6267	362	7	b(s	b(	NOUN
ejpam-6267	362	8	)	)	PUNCT
ejpam-6267	362	9	)	)	PUNCT
ejpam-6267	363	1	α	α	PROPN
ejpam-6267	363	2	tn	tn	NOUN
ejpam-6267	364	1	g	g	PROPN
ejpam-6267	365	1	[	[	X
ejpam-6267	365	2	δγ	δγ	ADP
ejpam-6267	365	3	∑∞	∑∞	NOUN
ejpam-6267	365	4	n=0	n=0	NUM
ejpam-6267	365	5	sn(t)−µ	sn(t)−µ	NOUN
ejpam-6267	365	6	∑∞	∑∞	NOUN
ejpam-6267	365	7	n=0	n=0	NUM
ejpam-6267	365	8	ln(t	ln(t	PUNCT
ejpam-6267	365	9	)	)	PUNCT
ejpam-6267	365	10	]	]	PUNCT
ejpam-6267	365	11	.	.	PUNCT
ejpam-6267	366	1	now	now	ADV
ejpam-6267	366	2	by	by	ADP
ejpam-6267	366	3	comparing	compare	VERB
ejpam-6267	366	4	the	the	DET
ejpam-6267	366	5	same	same	ADJ
ejpam-6267	366	6	terms	term	NOUN
ejpam-6267	366	7	on	on	ADP
ejpam-6267	366	8	both	both	DET
ejpam-6267	366	9	sides	side	NOUN
ejpam-6267	366	10	we	we	PRON
ejpam-6267	366	11	can	can	AUX
ejpam-6267	366	12	get	get	VERB
ejpam-6267	366	13	:	:	PUNCT
ejpam-6267	366	14	tn	tn	PROPN
ejpam-6267	366	15	g	g	PROPN
ejpam-6267	366	16	[	[	X
ejpam-6267	366	17	p0(t	p0(t	PROPN
ejpam-6267	366	18	)	)	PUNCT
ejpam-6267	366	19	]	]	PUNCT
ejpam-6267	366	20	=	=	PUNCT
ejpam-6267	366	21	m(s	m(s	PROPN
ejpam-6267	366	22	)	)	PUNCT
ejpam-6267	366	23	b(s	b(s	PROPN
ejpam-6267	366	24	)	)	PUNCT
ejpam-6267	366	25	b1,tn	b1,tn	PROPN
ejpam-6267	367	1	g	g	PROPN
ejpam-6267	368	1	[	[	X
ejpam-6267	368	2	o0(t	o0(t	PROPN
ejpam-6267	368	3	)	)	PUNCT
ejpam-6267	368	4	]	]	PUNCT
ejpam-6267	368	5	=	=	PUNCT
ejpam-6267	368	6	m(s	m(s	PROPN
ejpam-6267	368	7	)	)	PUNCT
ejpam-6267	368	8	b(s	b(	NOUN
ejpam-6267	368	9	)	)	PUNCT
ejpam-6267	368	10	b2,tn	b2,tn	X
ejpam-6267	368	11	g	g	PROPN
ejpam-6267	368	12	[	[	X
ejpam-6267	368	13	s0(t	s0(t	PROPN
ejpam-6267	368	14	)	)	PUNCT
ejpam-6267	368	15	]	]	PUNCT
ejpam-6267	369	1	=	=	PUNCT
ejpam-6267	369	2	m(s	m(s	PROPN
ejpam-6267	369	3	)	)	PUNCT
ejpam-6267	369	4	b(s	b(s	PROPN
ejpam-6267	369	5	)	)	PUNCT
ejpam-6267	369	6	b3	b3	PROPN
ejpam-6267	369	7	,	,	PUNCT
ejpam-6267	369	8	(	(	PUNCT
ejpam-6267	369	9	39	39	NUM
ejpam-6267	369	10	)	)	PUNCT
ejpam-6267	369	11	r.	r.	NOUN
ejpam-6267	369	12	belgacem	belgacem	NOUN
ejpam-6267	369	13	et	et	PROPN
ejpam-6267	369	14	al	al	PROPN
ejpam-6267	369	15	.	.	PUNCT
ejpam-6267	369	16	/	/	SYM
ejpam-6267	369	17	eur	eur	PROPN
ejpam-6267	369	18	.	.	PUNCT
ejpam-6267	370	1	j.	j.	PROPN
ejpam-6267	370	2	pure	pure	PROPN
ejpam-6267	370	3	appl	appl	PROPN
ejpam-6267	370	4	.	.	PROPN
ejpam-6267	370	5	math	math	PROPN
ejpam-6267	370	6	,	,	PUNCT
ejpam-6267	370	7	18	18	NUM
ejpam-6267	370	8	(	(	PUNCT
ejpam-6267	370	9	4	4	NUM
ejpam-6267	370	10	)	)	PUNCT
ejpam-6267	370	11	(	(	PUNCT
ejpam-6267	370	12	2025	2025	NUM
ejpam-6267	370	13	)	)	PUNCT
ejpam-6267	370	14	,	,	PUNCT
ejpam-6267	370	15	6267	6267	NUM
ejpam-6267	370	16	16	16	NUM
ejpam-6267	370	17	of	of	ADP
ejpam-6267	370	18	26	26	NUM
ejpam-6267	370	19	tn	tn	NOUN
ejpam-6267	370	20	g	g	PROPN
ejpam-6267	371	1	[	[	X
ejpam-6267	372	1	q0(t	q0(t	PROPN
ejpam-6267	372	2	)	)	PUNCT
ejpam-6267	372	3	]	]	PUNCT
ejpam-6267	372	4	=	=	PUNCT
ejpam-6267	372	5	m(s	m(s	PROPN
ejpam-6267	372	6	)	)	PUNCT
ejpam-6267	372	7	b(s	b(	NOUN
ejpam-6267	372	8	)	)	PUNCT
ejpam-6267	372	9	b4,tn	b4,tn	VERB
ejpam-6267	372	10	g	g	PROPN
ejpam-6267	372	11	[	[	X
ejpam-6267	372	12	l0(t	l0(t	X
ejpam-6267	372	13	)	)	PUNCT
ejpam-6267	372	14	]	]	PUNCT
ejpam-6267	373	1	=	=	PUNCT
ejpam-6267	373	2	m(s	m(s	PROPN
ejpam-6267	373	3	)	)	PUNCT
ejpam-6267	373	4	b(s	b(s	PROPN
ejpam-6267	373	5	)	)	PUNCT
ejpam-6267	373	6	b5	b5	PROPN
ejpam-6267	373	7	.	.	PUNCT
ejpam-6267	374	1	(	(	PUNCT
ejpam-6267	374	2	40	40	NUM
ejpam-6267	374	3	)	)	PUNCT
ejpam-6267	374	4	similarly	similarly	ADV
ejpam-6267	374	5	,	,	PUNCT
ejpam-6267	374	6	we	we	PRON
ejpam-6267	374	7	have:	have:	VERB
ejpam-6267	374	8	tn	tn	PROPN
ejpam-6267	375	1	g	g	PROPN
ejpam-6267	375	2	[	[	X
ejpam-6267	375	3	p1(t	p1(t	X
ejpam-6267	375	4	)	)	PUNCT
ejpam-6267	375	5	]	]	PUNCT
ejpam-6267	376	1	=	=	SYM
ejpam-6267	376	2	(	(	PUNCT
ejpam-6267	376	3	k	k	X
ejpam-6267	376	4	(	(	PUNCT
ejpam-6267	376	5	s	s	NOUN
ejpam-6267	376	6	)	)	PUNCT
ejpam-6267	376	7	b(s	b(	NOUN
ejpam-6267	376	8	)	)	PUNCT
ejpam-6267	376	9	)	)	PUNCT
ejpam-6267	377	1	α	α	PROPN
ejpam-6267	377	2	tn	tn	NOUN
ejpam-6267	378	1	g	g	PROPN
ejpam-6267	378	2	[	[	X
ejpam-6267	378	3	λ−βx0(t)−µp0(t	λ−βx0(t)−µp0(t	NOUN
ejpam-6267	378	4	)	)	PUNCT
ejpam-6267	378	5	]	]	PUNCT
ejpam-6267	378	6	tn	tn	PROPN
ejpam-6267	379	1	g	g	PROPN
ejpam-6267	379	2	[	[	X
ejpam-6267	379	3	o1(t	o1(t	PROPN
ejpam-6267	379	4	)	)	PUNCT
ejpam-6267	379	5	]	]	PUNCT
ejpam-6267	380	1	=	=	SYM
ejpam-6267	380	2	(	(	PUNCT
ejpam-6267	380	3	k	k	X
ejpam-6267	380	4	(	(	PUNCT
ejpam-6267	380	5	s	s	NOUN
ejpam-6267	380	6	)	)	PUNCT
ejpam-6267	380	7	b(s	b(	NOUN
ejpam-6267	380	8	)	)	PUNCT
ejpam-6267	380	9	)	)	PUNCT
ejpam-6267	381	1	α	α	PROPN
ejpam-6267	381	2	tn	tn	NOUN
ejpam-6267	382	1	g	g	PROPN
ejpam-6267	383	1	[	[	X
ejpam-6267	383	2	βx0(t)−	βx0(t)−	X
ejpam-6267	383	3	(	(	PUNCT
ejpam-6267	383	4	α1	α1	PROPN
ejpam-6267	383	5	+	+	PROPN
ejpam-6267	383	6	µ)o0(t	µ)o0(t	NOUN
ejpam-6267	383	7	)	)	PUNCT
ejpam-6267	383	8	]	]	PUNCT
ejpam-6267	383	9	tn	tn	PROPN
ejpam-6267	383	10	g	g	PROPN
ejpam-6267	384	1	[	[	X
ejpam-6267	384	2	s1(t	s1(t	X
ejpam-6267	384	3	)	)	PUNCT
ejpam-6267	384	4	]	]	PUNCT
ejpam-6267	385	1	=	=	SYM
ejpam-6267	385	2	(	(	PUNCT
ejpam-6267	385	3	k	k	X
ejpam-6267	385	4	(	(	PUNCT
ejpam-6267	385	5	s	s	NOUN
ejpam-6267	385	6	)	)	PUNCT
ejpam-6267	385	7	b(s	b(	NOUN
ejpam-6267	385	8	)	)	PUNCT
ejpam-6267	385	9	)	)	PUNCT
ejpam-6267	386	1	α	α	PROPN
ejpam-6267	386	2	tn	tn	NOUN
ejpam-6267	387	1	g	g	PROPN
ejpam-6267	388	1	[	[	X
ejpam-6267	388	2	α1o0(t)+α2z0(t)−	α1o0(t)+α2z0(t)−	PROPN
ejpam-6267	388	3	(	(	PUNCT
ejpam-6267	388	4	µ+γ)s0(t	µ+γ)s0(t	PROPN
ejpam-6267	388	5	)	)	PUNCT
ejpam-6267	388	6	]	]	PUNCT
ejpam-6267	388	7	tn	tn	PROPN
ejpam-6267	388	8	g	g	PROPN
ejpam-6267	389	1	[	[	X
ejpam-6267	389	2	q1(t	q1(t	NOUN
ejpam-6267	389	3	)	)	PUNCT
ejpam-6267	389	4	]	]	PUNCT
ejpam-6267	390	1	=	=	SYM
ejpam-6267	390	2	(	(	PUNCT
ejpam-6267	390	3	k	k	X
ejpam-6267	390	4	(	(	PUNCT
ejpam-6267	390	5	s	s	NOUN
ejpam-6267	390	6	)	)	PUNCT
ejpam-6267	390	7	b(s	b(	NOUN
ejpam-6267	390	8	)	)	PUNCT
ejpam-6267	390	9	)	)	PUNCT
ejpam-6267	391	1	α	α	PROPN
ejpam-6267	391	2	tn	tn	NOUN
ejpam-6267	392	1	g	g	PROPN
ejpam-6267	392	2	[	[	X
ejpam-6267	392	3	−α2z0(t)−µq0(t)+γ	−α2z0(t)−µq0(t)+γ	PROPN
ejpam-6267	392	4	(	(	PUNCT
ejpam-6267	392	5	1−	1−	NUM
ejpam-6267	392	6	δ)s0(x	δ)s0(x	NOUN
ejpam-6267	392	7	)	)	PUNCT
ejpam-6267	392	8	]	]	PUNCT
ejpam-6267	392	9	tn	tn	PROPN
ejpam-6267	393	1	g	g	PROPN
ejpam-6267	393	2	[	[	X
ejpam-6267	393	3	l1(t	l1(t	PROPN
ejpam-6267	393	4	)	)	PUNCT
ejpam-6267	393	5	]	]	PUNCT
ejpam-6267	394	1	=	=	SYM
ejpam-6267	394	2	(	(	PUNCT
ejpam-6267	394	3	k	k	X
ejpam-6267	394	4	(	(	PUNCT
ejpam-6267	394	5	s	s	NOUN
ejpam-6267	394	6	)	)	PUNCT
ejpam-6267	394	7	b(s	b(	NOUN
ejpam-6267	394	8	)	)	PUNCT
ejpam-6267	394	9	)	)	PUNCT
ejpam-6267	395	1	α	α	PROPN
ejpam-6267	395	2	tn	tn	NOUN
ejpam-6267	396	1	g	g	PROPN
ejpam-6267	396	2	[	[	X
ejpam-6267	396	3	δγs0(t)−µl0(t	δγs0(t)−µl0(t	PROPN
ejpam-6267	396	4	)	)	PUNCT
ejpam-6267	396	5	]	]	PUNCT
ejpam-6267	396	6	(	(	PUNCT
ejpam-6267	396	7	41	41	NUM
ejpam-6267	396	8	)	)	PUNCT
ejpam-6267	396	9			X
ejpam-6267	397	1	tn	tn	PROPN
ejpam-6267	397	2	g	g	PROPN
ejpam-6267	398	1	[	[	X
ejpam-6267	398	2	p2(t	p2(t	X
ejpam-6267	398	3	)	)	PUNCT
ejpam-6267	398	4	]	]	PUNCT
ejpam-6267	399	1	=	=	SYM
ejpam-6267	399	2	(	(	PUNCT
ejpam-6267	399	3	k	k	X
ejpam-6267	399	4	(	(	PUNCT
ejpam-6267	399	5	s	s	NOUN
ejpam-6267	399	6	)	)	PUNCT
ejpam-6267	399	7	b(s	b(	NOUN
ejpam-6267	399	8	)	)	PUNCT
ejpam-6267	399	9	)	)	PUNCT
ejpam-6267	400	1	α	α	PROPN
ejpam-6267	400	2	tn	tn	NOUN
ejpam-6267	401	1	g	g	PROPN
ejpam-6267	401	2	[	[	X
ejpam-6267	401	3	λ−βx1(t)−µp1(t	λ−βx1(t)−µp1(t	X
ejpam-6267	401	4	)	)	PUNCT
ejpam-6267	401	5	]	]	PUNCT
ejpam-6267	401	6	tn	tn	PROPN
ejpam-6267	402	1	g	g	PROPN
ejpam-6267	403	1	[	[	X
ejpam-6267	403	2	o2(t	o2(t	PROPN
ejpam-6267	403	3	)	)	PUNCT
ejpam-6267	403	4	]	]	PUNCT
ejpam-6267	404	1	=	=	SYM
ejpam-6267	404	2	(	(	PUNCT
ejpam-6267	404	3	k	k	X
ejpam-6267	404	4	(	(	PUNCT
ejpam-6267	404	5	s	s	NOUN
ejpam-6267	404	6	)	)	PUNCT
ejpam-6267	404	7	b(s	b(	NOUN
ejpam-6267	404	8	)	)	PUNCT
ejpam-6267	404	9	)	)	PUNCT
ejpam-6267	405	1	α	α	PROPN
ejpam-6267	405	2	tn	tn	NOUN
ejpam-6267	406	1	g	g	PROPN
ejpam-6267	406	2	[	[	X
ejpam-6267	406	3	βx1(t)−α1o1(t)−µo1(t	βx1(t)−α1o1(t)−µo1(t	PROPN
ejpam-6267	406	4	)	)	PUNCT
ejpam-6267	406	5	]	]	PUNCT
ejpam-6267	406	6	tn	tn	PROPN
ejpam-6267	407	1	g	g	PROPN
ejpam-6267	407	2	[	[	X
ejpam-6267	407	3	s2(t	s2(t	X
ejpam-6267	407	4	)	)	PUNCT
ejpam-6267	407	5	]	]	PUNCT
ejpam-6267	408	1	=	=	SYM
ejpam-6267	408	2	(	(	PUNCT
ejpam-6267	408	3	k	k	X
ejpam-6267	408	4	(	(	PUNCT
ejpam-6267	408	5	s	s	NOUN
ejpam-6267	408	6	)	)	PUNCT
ejpam-6267	408	7	b(s	b(	NOUN
ejpam-6267	408	8	)	)	PUNCT
ejpam-6267	408	9	)	)	PUNCT
ejpam-6267	409	1	α	α	PROPN
ejpam-6267	409	2	tn	tn	NOUN
ejpam-6267	410	1	g	g	PROPN
ejpam-6267	410	2	[	[	X
ejpam-6267	410	3	α1o1(t)+α2z1(t)−	α1o1(t)+α2z1(t)−	PROPN
ejpam-6267	410	4	(	(	PUNCT
ejpam-6267	410	5	µ+γ)s1(t	µ+γ)s1(t	PROPN
ejpam-6267	410	6	)	)	PUNCT
ejpam-6267	410	7	]	]	PUNCT
ejpam-6267	410	8	tn	tn	PROPN
ejpam-6267	410	9	g	g	PROPN
ejpam-6267	410	10	[	[	X
ejpam-6267	410	11	q2(t	q2(t	X
ejpam-6267	410	12	)	)	PUNCT
ejpam-6267	410	13	]	]	PUNCT
ejpam-6267	411	1	=	=	SYM
ejpam-6267	411	2	(	(	PUNCT
ejpam-6267	411	3	k	k	X
ejpam-6267	411	4	(	(	PUNCT
ejpam-6267	411	5	s	s	NOUN
ejpam-6267	411	6	)	)	PUNCT
ejpam-6267	411	7	b(s	b(	NOUN
ejpam-6267	411	8	)	)	PUNCT
ejpam-6267	411	9	)	)	PUNCT
ejpam-6267	412	1	α	α	PROPN
ejpam-6267	412	2	tn	tn	NOUN
ejpam-6267	413	1	g	g	PROPN
ejpam-6267	414	1	[	[	X
ejpam-6267	414	2	−α2z1(t)−µq1(t)+γ	−α2z1(t)−µq1(t)+γ	PROPN
ejpam-6267	414	3	(	(	PUNCT
ejpam-6267	414	4	1−	1−	NUM
ejpam-6267	414	5	δ)s1(t	δ)s1(t	PROPN
ejpam-6267	414	6	)	)	PUNCT
ejpam-6267	414	7	]	]	PUNCT
ejpam-6267	414	8	tn	tn	PROPN
ejpam-6267	414	9	g	g	PROPN
ejpam-6267	414	10	[	[	X
ejpam-6267	414	11	l2(t	l2(t	X
ejpam-6267	414	12	)	)	PUNCT
ejpam-6267	414	13	]	]	PUNCT
ejpam-6267	415	1	=	=	SYM
ejpam-6267	415	2	(	(	PUNCT
ejpam-6267	415	3	k	k	X
ejpam-6267	415	4	(	(	PUNCT
ejpam-6267	415	5	s	s	NOUN
ejpam-6267	415	6	)	)	PUNCT
ejpam-6267	415	7	b(s	b(	NOUN
ejpam-6267	415	8	)	)	PUNCT
ejpam-6267	415	9	)	)	PUNCT
ejpam-6267	416	1	α	α	PROPN
ejpam-6267	416	2	tn	tn	NOUN
ejpam-6267	417	1	g	g	NOUN
ejpam-6267	417	2	[	[	X
ejpam-6267	417	3	δγs1(t)−µl1(x	δγs1(t)−µl1(x	NOUN
ejpam-6267	417	4	)	)	PUNCT
ejpam-6267	417	5	]	]	PUNCT
ejpam-6267	418	1	(	(	PUNCT
ejpam-6267	418	2	42	42	NUM
ejpam-6267	418	3	)	)	PUNCT
ejpam-6267	418	4			X
ejpam-6267	418	5	tn	tn	PROPN
ejpam-6267	419	1	g	g	PROPN
ejpam-6267	419	2	[	[	X
ejpam-6267	419	3	p3(t	p3(t	NOUN
ejpam-6267	419	4	)	)	PUNCT
ejpam-6267	419	5	]	]	PUNCT
ejpam-6267	420	1	=	=	SYM
ejpam-6267	420	2	(	(	PUNCT
ejpam-6267	420	3	k	k	X
ejpam-6267	420	4	(	(	PUNCT
ejpam-6267	420	5	s	s	NOUN
ejpam-6267	420	6	)	)	PUNCT
ejpam-6267	420	7	b(s	b(	NOUN
ejpam-6267	420	8	)	)	PUNCT
ejpam-6267	420	9	)	)	PUNCT
ejpam-6267	421	1	α	α	PROPN
ejpam-6267	421	2	tn	tn	NOUN
ejpam-6267	422	1	g	g	PROPN
ejpam-6267	422	2	[	[	X
ejpam-6267	422	3	λ−βx2(t)−µp2(t	λ−βx2(t)−µp2(t	PROPN
ejpam-6267	422	4	)	)	PUNCT
ejpam-6267	422	5	]	]	PUNCT
ejpam-6267	422	6	tn	tn	PROPN
ejpam-6267	423	1	g	g	PROPN
ejpam-6267	423	2	[	[	X
ejpam-6267	423	3	o3(t	o3(t	PROPN
ejpam-6267	423	4	)	)	PUNCT
ejpam-6267	423	5	]	]	PUNCT
ejpam-6267	424	1	=	=	SYM
ejpam-6267	424	2	(	(	PUNCT
ejpam-6267	424	3	k	k	X
ejpam-6267	424	4	(	(	PUNCT
ejpam-6267	424	5	s	s	NOUN
ejpam-6267	424	6	)	)	PUNCT
ejpam-6267	424	7	b(s	b(	NOUN
ejpam-6267	424	8	)	)	PUNCT
ejpam-6267	424	9	)	)	PUNCT
ejpam-6267	425	1	α	α	PROPN
ejpam-6267	425	2	tn	tn	NOUN
ejpam-6267	426	1	g	g	PROPN
ejpam-6267	426	2	[	[	X
ejpam-6267	426	3	βx2(t)−	βx2(t)−	PROPN
ejpam-6267	426	4	(	(	PUNCT
ejpam-6267	426	5	α1	α1	PROPN
ejpam-6267	426	6	+	+	NOUN
ejpam-6267	426	7	µ)o2(t	µ)o2(t	X
ejpam-6267	426	8	)	)	PUNCT
ejpam-6267	426	9	]	]	PUNCT
ejpam-6267	426	10	tn	tn	PROPN
ejpam-6267	427	1	g	g	PROPN
ejpam-6267	427	2	[	[	X
ejpam-6267	427	3	s3(t	s3(t	PROPN
ejpam-6267	427	4	)	)	PUNCT
ejpam-6267	427	5	]	]	PUNCT
ejpam-6267	428	1	=	=	SYM
ejpam-6267	428	2	(	(	PUNCT
ejpam-6267	428	3	k	k	X
ejpam-6267	428	4	(	(	PUNCT
ejpam-6267	428	5	s	s	NOUN
ejpam-6267	428	6	)	)	PUNCT
ejpam-6267	428	7	b(s	b(	NOUN
ejpam-6267	428	8	)	)	PUNCT
ejpam-6267	428	9	)	)	PUNCT
ejpam-6267	429	1	α	α	PROPN
ejpam-6267	429	2	tn	tn	NOUN
ejpam-6267	430	1	g	g	PROPN
ejpam-6267	430	2	[	[	X
ejpam-6267	430	3	α1o2(t)+α2z2(t)−	α1o2(t)+α2z2(t)−	PROPN
ejpam-6267	430	4	(	(	PUNCT
ejpam-6267	430	5	µ+γ)s2(t	µ+γ)s2(t	NOUN
ejpam-6267	430	6	)	)	PUNCT
ejpam-6267	430	7	]	]	PUNCT
ejpam-6267	430	8	tn	tn	PROPN
ejpam-6267	431	1	g	g	PROPN
ejpam-6267	432	1	[	[	X
ejpam-6267	432	2	q3(t	q3(t	PROPN
ejpam-6267	432	3	)	)	PUNCT
ejpam-6267	432	4	]	]	PUNCT
ejpam-6267	433	1	=	=	SYM
ejpam-6267	433	2	(	(	PUNCT
ejpam-6267	433	3	k	k	X
ejpam-6267	433	4	(	(	PUNCT
ejpam-6267	433	5	s	s	NOUN
ejpam-6267	433	6	)	)	PUNCT
ejpam-6267	433	7	b(s	b(	NOUN
ejpam-6267	433	8	)	)	PUNCT
ejpam-6267	433	9	)	)	PUNCT
ejpam-6267	434	1	α	α	PROPN
ejpam-6267	434	2	tn	tn	NOUN
ejpam-6267	435	1	g	g	PROPN
ejpam-6267	436	1	[	[	X
ejpam-6267	436	2	−α2z2(t)−µq2(t)+γ	−α2z2(t)−µq2(t)+γ	NOUN
ejpam-6267	436	3	(	(	PUNCT
ejpam-6267	436	4	1−	1−	NUM
ejpam-6267	436	5	δ)s2(t	δ)s2(t	PROPN
ejpam-6267	436	6	)	)	PUNCT
ejpam-6267	436	7	]	]	PUNCT
ejpam-6267	436	8	tn	tn	PROPN
ejpam-6267	436	9	g	g	PROPN
ejpam-6267	437	1	[	[	X
ejpam-6267	437	2	l3(t	l3(t	X
ejpam-6267	437	3	)	)	PUNCT
ejpam-6267	437	4	]	]	PUNCT
ejpam-6267	438	1	=	=	SYM
ejpam-6267	438	2	(	(	PUNCT
ejpam-6267	438	3	k	k	X
ejpam-6267	438	4	(	(	PUNCT
ejpam-6267	438	5	s	s	NOUN
ejpam-6267	438	6	)	)	PUNCT
ejpam-6267	438	7	b(s	b(	NOUN
ejpam-6267	438	8	)	)	PUNCT
ejpam-6267	438	9	)	)	PUNCT
ejpam-6267	439	1	α	α	PROPN
ejpam-6267	439	2	tn	tn	NOUN
ejpam-6267	440	1	g	g	X
ejpam-6267	440	2	[	[	X
ejpam-6267	440	3	δγs2(t)−µl2(t	δγs2(t)−µl2(t	NOUN
ejpam-6267	440	4	)	)	PUNCT
ejpam-6267	440	5	]	]	PUNCT
ejpam-6267	440	6	(	(	PUNCT
ejpam-6267	440	7	43	43	NUM
ejpam-6267	440	8	)	)	PUNCT
ejpam-6267	440	9			X
ejpam-6267	441	1	tn	tn	PROPN
ejpam-6267	441	2	g	g	PROPN
ejpam-6267	441	3	[	[	X
ejpam-6267	441	4	pk+1(t	pk+1(t	X
ejpam-6267	441	5	)	)	PUNCT
ejpam-6267	441	6	]	]	PUNCT
ejpam-6267	442	1	=	=	SYM
ejpam-6267	442	2	(	(	PUNCT
ejpam-6267	442	3	k	k	X
ejpam-6267	442	4	(	(	PUNCT
ejpam-6267	442	5	s	s	NOUN
ejpam-6267	442	6	)	)	PUNCT
ejpam-6267	442	7	b(s	b(	NOUN
ejpam-6267	442	8	)	)	PUNCT
ejpam-6267	442	9	)	)	PUNCT
ejpam-6267	443	1	α	α	PROPN
ejpam-6267	443	2	tn	tn	NOUN
ejpam-6267	444	1	g	g	PROPN
ejpam-6267	444	2	[	[	X
ejpam-6267	444	3	λ−βxk(t)−µpk(t	λ−βxk(t)−µpk(t	PROPN
ejpam-6267	444	4	)	)	PUNCT
ejpam-6267	444	5	]	]	PUNCT
ejpam-6267	444	6	tn	tn	PROPN
ejpam-6267	445	1	g	g	PROPN
ejpam-6267	445	2	[	[	X
ejpam-6267	445	3	ok+1(t	ok+1(t	PROPN
ejpam-6267	445	4	)	)	PUNCT
ejpam-6267	445	5	]	]	PUNCT
ejpam-6267	446	1	=	=	PUNCT
ejpam-6267	446	2	(	(	PUNCT
ejpam-6267	446	3	k	k	X
ejpam-6267	446	4	(	(	PUNCT
ejpam-6267	446	5	s	s	NOUN
ejpam-6267	446	6	)	)	PUNCT
ejpam-6267	446	7	b(s	b(	NOUN
ejpam-6267	446	8	)	)	PUNCT
ejpam-6267	446	9	)	)	PUNCT
ejpam-6267	447	1	α	α	PROPN
ejpam-6267	447	2	tn	tn	NOUN
ejpam-6267	448	1	g	g	PROPN
ejpam-6267	448	2	[	[	X
ejpam-6267	448	3	βxk(t)−α1ok(t)−µok(t	βxk(t)−α1ok(t)−µok(t	NOUN
ejpam-6267	448	4	)	)	PUNCT
ejpam-6267	448	5	]	]	PUNCT
ejpam-6267	448	6	tn	tn	PROPN
ejpam-6267	449	1	g	g	PROPN
ejpam-6267	449	2	[	[	X
ejpam-6267	449	3	sk+1(t	sk+1(t	PROPN
ejpam-6267	449	4	)	)	PUNCT
ejpam-6267	449	5	]	]	PUNCT
ejpam-6267	450	1	=	=	PUNCT
ejpam-6267	450	2	(	(	PUNCT
ejpam-6267	450	3	k	k	X
ejpam-6267	450	4	(	(	PUNCT
ejpam-6267	450	5	s	s	NOUN
ejpam-6267	450	6	)	)	PUNCT
ejpam-6267	450	7	b(s	b(	NOUN
ejpam-6267	450	8	)	)	PUNCT
ejpam-6267	450	9	)	)	PUNCT
ejpam-6267	451	1	α	α	PROPN
ejpam-6267	451	2	tn	tn	NOUN
ejpam-6267	452	1	g	g	PROPN
ejpam-6267	452	2	[	[	X
ejpam-6267	452	3	α1ok(t)+α2zk(t)−	α1ok(t)+α2zk(t)−	PROPN
ejpam-6267	452	4	(	(	PUNCT
ejpam-6267	452	5	µ+γ)sk(t	µ+γ)sk(t	PROPN
ejpam-6267	452	6	)	)	PUNCT
ejpam-6267	452	7	]	]	PUNCT
ejpam-6267	452	8	tn	tn	PROPN
ejpam-6267	452	9	g	g	PROPN
ejpam-6267	452	10	[	[	X
ejpam-6267	452	11	qk+1(t	qk+1(t	PROPN
ejpam-6267	452	12	)	)	PUNCT
ejpam-6267	452	13	]	]	PUNCT
ejpam-6267	453	1	=	=	SYM
ejpam-6267	453	2	(	(	PUNCT
ejpam-6267	453	3	k	k	X
ejpam-6267	453	4	(	(	PUNCT
ejpam-6267	453	5	s	s	NOUN
ejpam-6267	453	6	)	)	PUNCT
ejpam-6267	453	7	b(s	b(	NOUN
ejpam-6267	453	8	)	)	PUNCT
ejpam-6267	453	9	)	)	PUNCT
ejpam-6267	454	1	α	α	PROPN
ejpam-6267	454	2	tn	tn	NOUN
ejpam-6267	455	1	g	g	PROPN
ejpam-6267	455	2	[	[	X
ejpam-6267	455	3	−α2zk(t)−µqk(t)+γ	−α2zk(t)−µqk(t)+γ	X
ejpam-6267	455	4	(	(	PUNCT
ejpam-6267	455	5	1−	1−	NUM
ejpam-6267	455	6	δ)sk(t	δ)sk(t	NUM
ejpam-6267	455	7	)	)	PUNCT
ejpam-6267	455	8	]	]	PUNCT
ejpam-6267	455	9	tn	tn	PROPN
ejpam-6267	455	10	g	g	PROPN
ejpam-6267	455	11	[	[	X
ejpam-6267	455	12	lk+1(t	lk+1(t	PROPN
ejpam-6267	455	13	)	)	PUNCT
ejpam-6267	455	14	]	]	PUNCT
ejpam-6267	456	1	=	=	SYM
ejpam-6267	456	2	(	(	PUNCT
ejpam-6267	456	3	k	k	X
ejpam-6267	456	4	(	(	PUNCT
ejpam-6267	456	5	s	s	NOUN
ejpam-6267	456	6	)	)	PUNCT
ejpam-6267	456	7	b(s	b(	NOUN
ejpam-6267	456	8	)	)	PUNCT
ejpam-6267	456	9	)	)	PUNCT
ejpam-6267	457	1	α	α	PROPN
ejpam-6267	457	2	tn	tn	NOUN
ejpam-6267	458	1	g	g	NOUN
ejpam-6267	458	2	[	[	X
ejpam-6267	458	3	δγsk(t)−µlk(t	δγsk(t)−µlk(t	NOUN
ejpam-6267	458	4	)	)	PUNCT
ejpam-6267	458	5	]	]	PUNCT
ejpam-6267	458	6	(	(	PUNCT
ejpam-6267	458	7	44	44	NUM
ejpam-6267	458	8	)	)	PUNCT
ejpam-6267	458	9	r.	r.	NOUN
ejpam-6267	458	10	belgacem	belgacem	NOUN
ejpam-6267	458	11	et	et	PROPN
ejpam-6267	458	12	al	al	PROPN
ejpam-6267	458	13	.	.	PUNCT
ejpam-6267	458	14	/	/	SYM
ejpam-6267	458	15	eur	eur	PROPN
ejpam-6267	458	16	.	.	PUNCT
ejpam-6267	459	1	j.	j.	PROPN
ejpam-6267	459	2	pure	pure	PROPN
ejpam-6267	459	3	appl	appl	PROPN
ejpam-6267	459	4	.	.	PROPN
ejpam-6267	459	5	math	math	PROPN
ejpam-6267	459	6	,	,	PUNCT
ejpam-6267	459	7	18	18	NUM
ejpam-6267	459	8	(	(	PUNCT
ejpam-6267	459	9	4	4	NUM
ejpam-6267	459	10	)	)	PUNCT
ejpam-6267	459	11	(	(	PUNCT
ejpam-6267	459	12	2025	2025	NUM
ejpam-6267	459	13	)	)	PUNCT
ejpam-6267	459	14	,	,	PUNCT
ejpam-6267	459	15	6267	6267	NUM
ejpam-6267	459	16	17	17	NUM
ejpam-6267	459	17	of	of	ADP
ejpam-6267	459	18	26	26	NUM
ejpam-6267	459	19	by	by	ADP
ejpam-6267	459	20	using	use	VERB
ejpam-6267	459	21	the	the	DET
ejpam-6267	459	22	inverse	inverse	ADJ
ejpam-6267	459	23	transformation	transformation	NOUN
ejpam-6267	459	24	of	of	ADP
ejpam-6267	459	25	tn	tn	NOUN
ejpam-6267	459	26	g	g	PROPN
ejpam-6267	459	27	,	,	PUNCT
ejpam-6267	459	28	we	we	PRON
ejpam-6267	459	29	have	have	VERB
ejpam-6267	459	30	the	the	DET
ejpam-6267	459	31	initial	initial	ADJ
ejpam-6267	459	32	conditions	condition	NOUN
ejpam-6267	459	33	,	,	PUNCT
ejpam-6267	459	34	and	and	CCONJ
ejpam-6267	459	35	x0	x0	PROPN
ejpam-6267	459	36	=	=	PUNCT
ejpam-6267	460	1	b1b3	b1b3	X
ejpam-6267	460	2	,	,	PUNCT
ejpam-6267	460	3	z0	z0	PROPN
ejpam-6267	460	4	=	=	PUNCT
ejpam-6267	460	5	b3b4	b3b4	NOUN
ejpam-6267	460	6			X
ejpam-6267	460	7	p1	p1	PROPN
ejpam-6267	460	8	(	(	PUNCT
ejpam-6267	460	9	t	t	PROPN
ejpam-6267	460	10	)	)	PUNCT
ejpam-6267	460	11	=	=	PUNCT
ejpam-6267	461	1	[	[	X
ejpam-6267	461	2	λ−βb1b3	λ−βb1b3	NOUN
ejpam-6267	461	3	−µb1	−µb1	NOUN
ejpam-6267	461	4	]	]	X
ejpam-6267	461	5	tα	tα	X
ejpam-6267	461	6	γ	γ	X
ejpam-6267	461	7	(	(	PUNCT
ejpam-6267	461	8	α	α	PROPN
ejpam-6267	461	9	+1	+1	PROPN
ejpam-6267	461	10	)	)	PUNCT
ejpam-6267	461	11	o1	o1	NOUN
ejpam-6267	461	12	(	(	PUNCT
ejpam-6267	461	13	t	t	PROPN
ejpam-6267	461	14	)	)	PUNCT
ejpam-6267	461	15	=	=	PUNCT
ejpam-6267	462	1	[	[	X
ejpam-6267	462	2	βb1b3	βb1b3	X
ejpam-6267	462	3	−	−	PROPN
ejpam-6267	462	4	(	(	PUNCT
ejpam-6267	462	5	µ+α1)b2	µ+α1)b2	NOUN
ejpam-6267	462	6	]	]	PUNCT
ejpam-6267	462	7	tα	tα	PROPN
ejpam-6267	462	8	γ	γ	X
ejpam-6267	462	9	(	(	PUNCT
ejpam-6267	462	10	α	α	PROPN
ejpam-6267	462	11	+1	+1	PROPN
ejpam-6267	462	12	)	)	PUNCT
ejpam-6267	462	13	s1	s1	NOUN
ejpam-6267	462	14	(	(	PUNCT
ejpam-6267	462	15	t	t	NOUN
ejpam-6267	462	16	)	)	PUNCT
ejpam-6267	462	17	=	=	PUNCT
ejpam-6267	463	1	[	[	X
ejpam-6267	463	2	α1b2	α1b2	NUM
ejpam-6267	463	3	+	+	NOUN
ejpam-6267	463	4	α2b3b4	α2b3b4	NOUN
ejpam-6267	463	5	−	−	NOUN
ejpam-6267	463	6	(	(	PUNCT
ejpam-6267	463	7	µ+γ)b3	µ+γ)b3	PROPN
ejpam-6267	463	8	]	]	X
ejpam-6267	463	9	tα	tα	PROPN
ejpam-6267	463	10	γ	γ	X
ejpam-6267	463	11	(	(	PUNCT
ejpam-6267	463	12	α	α	PROPN
ejpam-6267	463	13	+1	+1	PROPN
ejpam-6267	463	14	)	)	PUNCT
ejpam-6267	463	15	q1	q1	PROPN
ejpam-6267	463	16	(	(	PUNCT
ejpam-6267	463	17	t	t	PROPN
ejpam-6267	463	18	)	)	PUNCT
ejpam-6267	463	19	=	=	PUNCT
ejpam-6267	464	1	[	[	X
ejpam-6267	464	2	−α2b3b4	−α2b3b4	X
ejpam-6267	464	3	−µb4	−µb4	X
ejpam-6267	465	1	+	+	NOUN
ejpam-6267	465	2	γ(1−σ)b3	γ(1−σ)b3	PROPN
ejpam-6267	465	3	]	]	X
ejpam-6267	465	4	tα	tα	X
ejpam-6267	465	5	γ	γ	X
ejpam-6267	465	6	(	(	PUNCT
ejpam-6267	465	7	α	α	PROPN
ejpam-6267	465	8	+1	+1	PROPN
ejpam-6267	465	9	)	)	PUNCT
ejpam-6267	465	10	l1	l1	PROPN
ejpam-6267	465	11	(	(	PUNCT
ejpam-6267	465	12	t	t	PROPN
ejpam-6267	465	13	)	)	PUNCT
ejpam-6267	465	14	=	=	PUNCT
ejpam-6267	466	1	[	[	X
ejpam-6267	466	2	σγb3	σγb3	PROPN
ejpam-6267	466	3	−µb5	−µb5	NOUN
ejpam-6267	466	4	]	]	PUNCT
ejpam-6267	466	5	tα	tα	PROPN
ejpam-6267	466	6	γ	γ	X
ejpam-6267	466	7	(	(	PUNCT
ejpam-6267	466	8	α	α	NOUN
ejpam-6267	466	9	+1	+1	PROPN
ejpam-6267	466	10	)	)	PUNCT
ejpam-6267	466	11	.	.	PUNCT
ejpam-6267	467	1	(	(	PUNCT
ejpam-6267	467	2	45	45	NUM
ejpam-6267	467	3	)	)	PUNCT
ejpam-6267	467	4	consequently	consequently	ADV
ejpam-6267	467	5	:	:	PUNCT
ejpam-6267	468	1	x1(t	x1(t	X
ejpam-6267	468	2	)	)	PUNCT
ejpam-6267	468	3	=	=	SYM
ejpam-6267	468	4	p1(t)s0(t	p1(t)s0(t	X
ejpam-6267	468	5	)	)	PUNCT
ejpam-6267	468	6	+	+	CCONJ
ejpam-6267	468	7	s1(t)p0(t	s1(t)p0(t	PROPN
ejpam-6267	468	8	)	)	PUNCT
ejpam-6267	468	9	,	,	PUNCT
ejpam-6267	468	10	z1(t	z1(t	NUM
ejpam-6267	468	11	)	)	PUNCT
ejpam-6267	468	12	=	=	SYM
ejpam-6267	468	13	q1(t)s0(t	q1(t)s0(t	X
ejpam-6267	468	14	)	)	PUNCT
ejpam-6267	468	15	+	+	CCONJ
ejpam-6267	468	16	s1(t)q0(t	s1(t)q0(t	NOUN
ejpam-6267	468	17	)	)	PUNCT
ejpam-6267	468	18	,	,	PUNCT
ejpam-6267	468	19	we	we	PRON
ejpam-6267	468	20	pose	pose	VERB
ejpam-6267	468	21	:	:	PUNCT
ejpam-6267	468	22	wp	wp	PROPN
ejpam-6267	468	23	=	=	SYM
ejpam-6267	468	24	λ−βb1b3	λ−βb1b3	PROPN
ejpam-6267	468	25	−µb1	−µb1	PRON
ejpam-6267	468	26	wo	will	AUX
ejpam-6267	468	27	=	=	PUNCT
ejpam-6267	468	28	βb1b3	βb1b3	PUNCT
ejpam-6267	468	29	−	−	PROPN
ejpam-6267	469	1	(	(	PUNCT
ejpam-6267	469	2	µ+α1)b2	µ+α1)b2	NUM
ejpam-6267	469	3	ws	ws	NOUN
ejpam-6267	469	4	=	=	SYM
ejpam-6267	469	5	α1b2	α1b2	X
ejpam-6267	469	6	+	+	PROPN
ejpam-6267	469	7	α2b3b4	α2b3b4	NOUN
ejpam-6267	469	8	−	−	NUM
ejpam-6267	469	9	(	(	PUNCT
ejpam-6267	469	10	µ+γ)b3	µ+γ)b3	PROPN
ejpam-6267	469	11	wq	wq	PROPN
ejpam-6267	469	12	=	=	SYM
ejpam-6267	469	13	−α2b3b4	−α2b3b4	X
ejpam-6267	469	14	−µb4	−µb4	X
ejpam-6267	470	1	+	+	NOUN
ejpam-6267	470	2	γ(1−σ)b3	γ(1−σ)b3	PROPN
ejpam-6267	470	3	wl	wl	NOUN
ejpam-6267	470	4	=	=	SYM
ejpam-6267	470	5	σγb3	σγb3	PROPN
ejpam-6267	470	6	−µb5	−µb5	NOUN
ejpam-6267	470	7	(	(	PUNCT
ejpam-6267	470	8	46	46	NUM
ejpam-6267	470	9	)	)	PUNCT
ejpam-6267	470	10	so	so	ADV
ejpam-6267	470	11	:	:	PUNCT
ejpam-6267	470	12			NUM
ejpam-6267	470	13	p2	p2	PROPN
ejpam-6267	470	14	(	(	PUNCT
ejpam-6267	470	15	t	t	NOUN
ejpam-6267	470	16	)	)	PUNCT
ejpam-6267	470	17	=	=	PUNCT
ejpam-6267	471	1	λ	λ	PROPN
ejpam-6267	471	2	γ(α	γ(α	PROPN
ejpam-6267	471	3	+1	+1	PROPN
ejpam-6267	471	4	)	)	PUNCT
ejpam-6267	471	5	tα	tα	VERB
ejpam-6267	472	1	+	+	CCONJ
ejpam-6267	472	2	1	1	NUM
ejpam-6267	472	3	γ(2α	γ(2α	NOUN
ejpam-6267	472	4	+1	+1	NOUN
ejpam-6267	472	5	)	)	PUNCT
ejpam-6267	473	1	[	[	X
ejpam-6267	473	2	−βwsb1	−βwsb1	NOUN
ejpam-6267	473	3	−	−	NOUN
ejpam-6267	473	4	(	(	PUNCT
ejpam-6267	473	5	βb3	βb3	PROPN
ejpam-6267	474	1	+	+	ADJ
ejpam-6267	474	2	µ)wp	µ)wp	PROPN
ejpam-6267	474	3	]	]	PUNCT
ejpam-6267	474	4	t2α	t2α	NUM
ejpam-6267	474	5	,	,	PUNCT
ejpam-6267	474	6	o2	o2	PROPN
ejpam-6267	474	7	(	(	PUNCT
ejpam-6267	474	8	t	t	PROPN
ejpam-6267	474	9	)	)	PUNCT
ejpam-6267	474	10	=	=	SYM
ejpam-6267	474	11	1	1	NUM
ejpam-6267	474	12	γ(2α	γ(2α	X
ejpam-6267	474	13	+1	+1	NOUN
ejpam-6267	474	14	)	)	PUNCT
ejpam-6267	475	1	[	[	X
ejpam-6267	475	2	βwsb1	βwsb1	X
ejpam-6267	476	1	+	+	NOUN
ejpam-6267	476	2	βwpb3	βwpb3	NOUN
ejpam-6267	477	1	−	−	NOUN
ejpam-6267	477	2	(	(	PUNCT
ejpam-6267	477	3	µ+α1)wo	µ+α1)wo	PROPN
ejpam-6267	477	4	]	]	PUNCT
ejpam-6267	477	5	t2α	t2α	NUM
ejpam-6267	477	6	,	,	PUNCT
ejpam-6267	477	7	s2	s2	PROPN
ejpam-6267	477	8	(	(	PUNCT
ejpam-6267	477	9	t	t	PROPN
ejpam-6267	477	10	)	)	PUNCT
ejpam-6267	477	11	=	=	SYM
ejpam-6267	477	12	1	1	NUM
ejpam-6267	477	13	γ(2α	γ(2α	X
ejpam-6267	477	14	+1	+1	NOUN
ejpam-6267	477	15	)	)	PUNCT
ejpam-6267	478	1	[	[	X
ejpam-6267	478	2	α1wo	α1wo	X
ejpam-6267	478	3	+	+	NOUN
ejpam-6267	478	4	α2wqb3	α2wqb3	NOUN
ejpam-6267	478	5	+	+	NOUN
ejpam-6267	478	6	α2wsb4	α2wsb4	NOUN
ejpam-6267	478	7	−	−	PROPN
ejpam-6267	478	8	(	(	PUNCT
ejpam-6267	478	9	µ+γ)ws	µ+γ)ws	X
ejpam-6267	478	10	]	]	PUNCT
ejpam-6267	478	11	t2α	t2α	NUM
ejpam-6267	478	12	,	,	PUNCT
ejpam-6267	478	13	q2	q2	NOUN
ejpam-6267	478	14	(	(	PUNCT
ejpam-6267	478	15	t	t	PROPN
ejpam-6267	478	16	)	)	PUNCT
ejpam-6267	478	17	=	=	SYM
ejpam-6267	478	18	1	1	NUM
ejpam-6267	478	19	γ(2α	γ(2α	X
ejpam-6267	478	20	+1	+1	NOUN
ejpam-6267	478	21	)	)	PUNCT
ejpam-6267	479	1	[	[	X
ejpam-6267	479	2	(	(	PUNCT
ejpam-6267	479	3	−α2b4	−α2b4	NOUN
ejpam-6267	479	4	+	+	NOUN
ejpam-6267	479	5	γ(1−σ))ws	γ(1−σ))ws	PROPN
ejpam-6267	479	6	+	+	NUM
ejpam-6267	479	7	(	(	PUNCT
ejpam-6267	479	8	−α2b3	−α2b3	NOUN
ejpam-6267	479	9	−µ)wq	−µ)wq	ADJ
ejpam-6267	479	10	]	]	PUNCT
ejpam-6267	479	11	t2α	t2α	NUM
ejpam-6267	479	12	,	,	PUNCT
ejpam-6267	479	13	l2	l2	NOUN
ejpam-6267	479	14	(	(	PUNCT
ejpam-6267	479	15	t	t	NOUN
ejpam-6267	479	16	)	)	PUNCT
ejpam-6267	479	17	=	=	SYM
ejpam-6267	479	18	1	1	NUM
ejpam-6267	479	19	γ(2α	γ(2α	X
ejpam-6267	479	20	+1	+1	NOUN
ejpam-6267	479	21	)	)	PUNCT
ejpam-6267	480	1	[	[	X
ejpam-6267	480	2	σγws	σγws	X
ejpam-6267	480	3	−µwl	−µwl	NOUN
ejpam-6267	480	4	]	]	PUNCT
ejpam-6267	480	5	t2α	t2α	NUM
ejpam-6267	480	6	,	,	PUNCT
ejpam-6267	480	7	(	(	PUNCT
ejpam-6267	480	8	47	47	NUM
ejpam-6267	480	9	)	)	PUNCT
ejpam-6267	480	10	we	we	PRON
ejpam-6267	480	11	pose	pose	VERB
ejpam-6267	480	12	:	:	PUNCT
ejpam-6267	480	13	wp	wp	PROPN
ejpam-6267	480	14	p	p	NOUN
ejpam-6267	480	15	=	=	PUNCT
ejpam-6267	480	16	−βwsb1	−βwsb1	NOUN
ejpam-6267	480	17	−	−	PROPN
ejpam-6267	480	18	(	(	PUNCT
ejpam-6267	480	19	βb3	βb3	PROPN
ejpam-6267	481	1	+	+	ADJ
ejpam-6267	481	2	µ)wp	µ)wp	PROPN
ejpam-6267	481	3	,	,	PUNCT
ejpam-6267	481	4	woo	woo	VERB
ejpam-6267	481	5	=	=	PUNCT
ejpam-6267	481	6	βwsb1	βwsb1	PROPN
ejpam-6267	482	1	+	+	NOUN
ejpam-6267	482	2	βwpb3	βwpb3	NOUN
ejpam-6267	483	1	−	−	NOUN
ejpam-6267	483	2	(	(	PUNCT
ejpam-6267	483	3	µ+α1)wo	µ+α1)wo	ADV
ejpam-6267	483	4	,	,	PUNCT
ejpam-6267	483	5	wss	wss	NOUN
ejpam-6267	483	6	=	=	SYM
ejpam-6267	483	7	α1wo	α1wo	PUNCT
ejpam-6267	484	1	+	+	NOUN
ejpam-6267	484	2	α2wqb3	α2wqb3	NOUN
ejpam-6267	484	3	+	+	NOUN
ejpam-6267	484	4	α2wsb4	α2wsb4	NOUN
ejpam-6267	484	5	−	−	PROPN
ejpam-6267	484	6	(	(	PUNCT
ejpam-6267	484	7	µ+γ)ws	µ+γ)ws	PROPN
ejpam-6267	484	8	,	,	PUNCT
ejpam-6267	484	9	wqq	wqq	NOUN
ejpam-6267	484	10	=	=	SYM
ejpam-6267	484	11	(	(	PUNCT
ejpam-6267	484	12	−α2b4	−α2b4	NOUN
ejpam-6267	484	13	+	+	NOUN
ejpam-6267	484	14	γ(1−σ))ws	γ(1−σ))ws	PROPN
ejpam-6267	484	15	+	+	NUM
ejpam-6267	484	16	(	(	PUNCT
ejpam-6267	484	17	−α2b3	−α2b3	NOUN
ejpam-6267	484	18	−µ)wq	−µ)wq	ADJ
ejpam-6267	484	19	,	,	PUNCT
ejpam-6267	484	20	wll	wll	AUX
ejpam-6267	484	21	=	=	PUNCT
ejpam-6267	484	22	σγws	σγws	X
ejpam-6267	484	23	−µwl	−µwl	NOUN
ejpam-6267	484	24	,	,	PUNCT
ejpam-6267	484	25	(	(	PUNCT
ejpam-6267	484	26	48	48	NUM
ejpam-6267	484	27	)	)	PUNCT
ejpam-6267	484	28	we	we	PRON
ejpam-6267	484	29	have	have	VERB
ejpam-6267	484	30	:	:	PUNCT
ejpam-6267	484	31	x2(t	x2(t	PROPN
ejpam-6267	484	32	)	)	PUNCT
ejpam-6267	484	33	=	=	SYM
ejpam-6267	484	34	p2(t)s0(t)+s2(t)p0(t)+s1(t)p1(t	p2(t)s0(t)+s2(t)p0(t)+s1(t)p1(t	X
ejpam-6267	484	35	)	)	PUNCT
ejpam-6267	484	36	,	,	PUNCT
ejpam-6267	484	37	z2(t	z2(t	PROPN
ejpam-6267	484	38	)	)	PUNCT
ejpam-6267	484	39	=	=	SYM
ejpam-6267	484	40	q2(t)s0(t)+s2(t)q0(t)+s1(t)q1(t	q2(t)s0(t)+s2(t)q0(t)+s1(t)q1(t	ADJ
ejpam-6267	484	41	)	)	PUNCT
ejpam-6267	484	42	.	.	PUNCT
ejpam-6267	485	1	r.	r.	PROPN
ejpam-6267	485	2	belgacem	belgacem	PROPN
ejpam-6267	485	3	et	et	PROPN
ejpam-6267	485	4	al	al	PROPN
ejpam-6267	485	5	.	.	PUNCT
ejpam-6267	485	6	/	/	SYM
ejpam-6267	485	7	eur	eur	PROPN
ejpam-6267	485	8	.	.	PUNCT
ejpam-6267	486	1	j.	j.	PROPN
ejpam-6267	486	2	pure	pure	PROPN
ejpam-6267	486	3	appl	appl	PROPN
ejpam-6267	486	4	.	.	PROPN
ejpam-6267	486	5	math	math	PROPN
ejpam-6267	486	6	,	,	PUNCT
ejpam-6267	486	7	18	18	NUM
ejpam-6267	486	8	(	(	PUNCT
ejpam-6267	486	9	4	4	NUM
ejpam-6267	486	10	)	)	PUNCT
ejpam-6267	486	11	(	(	PUNCT
ejpam-6267	486	12	2025	2025	NUM
ejpam-6267	486	13	)	)	PUNCT
ejpam-6267	486	14	,	,	PUNCT
ejpam-6267	486	15	6267	6267	NUM
ejpam-6267	486	16	18	18	NUM
ejpam-6267	486	17	of	of	ADP
ejpam-6267	486	18	26	26	NUM
ejpam-6267	486	19	so:	so:	PROPN
ejpam-6267	486	20	p3	p3	NOUN
ejpam-6267	486	21	(	(	PUNCT
ejpam-6267	486	22	t	t	NOUN
ejpam-6267	486	23	)	)	PUNCT
ejpam-6267	486	24	=	=	PUNCT
ejpam-6267	487	1	λ	λ	PROPN
ejpam-6267	487	2	γ(α	γ(α	PROPN
ejpam-6267	487	3	+1	+1	PROPN
ejpam-6267	487	4	)	)	PUNCT
ejpam-6267	487	5	tα	tα	VERB
ejpam-6267	487	6	−	−	PROPN
ejpam-6267	488	1	λ(βb3	λ(βb3	PROPN
ejpam-6267	489	1	+	+	NOUN
ejpam-6267	489	2	µ	µ	NOUN
ejpam-6267	489	3	)	)	PUNCT
ejpam-6267	489	4	γ(2α	γ(2α	X
ejpam-6267	489	5	+1	+1	NOUN
ejpam-6267	489	6	)	)	PUNCT
ejpam-6267	489	7	t2α	t2α	X
ejpam-6267	490	1	+	+	CCONJ
ejpam-6267	490	2	1	1	NUM
ejpam-6267	490	3	γ(3α	γ(3α	NOUN
ejpam-6267	490	4	+1	+1	ADJ
ejpam-6267	490	5	)	)	PUNCT
ejpam-6267	490	6	[	[	PUNCT
ejpam-6267	490	7	−β(wp	−β(wp	NOUN
ejpam-6267	490	8	p	p	PROPN
ejpam-6267	490	9	b3	b3	PROPN
ejpam-6267	490	10	+	+	CCONJ
ejpam-6267	490	11	wssb1)−µwp	wssb1)−µwp	PROPN
ejpam-6267	490	12	p	p	ADJ
ejpam-6267	490	13	−	−	PROPN
ejpam-6267	490	14	βwp	βwp	NOUN
ejpam-6267	490	15	wsγ(2α	wsγ(2α	NOUN
ejpam-6267	490	16	+1	+1	PROPN
ejpam-6267	490	17	)	)	PUNCT
ejpam-6267	490	18	(	(	PUNCT
ejpam-6267	490	19	γ(α	γ(α	PROPN
ejpam-6267	490	20	+1))2	+1))2	PROPN
ejpam-6267	490	21	]	]	PUNCT
ejpam-6267	490	22	t3α	t3α	PROPN
ejpam-6267	490	23	,	,	PUNCT
ejpam-6267	490	24	o3	o3	PROPN
ejpam-6267	490	25	(	(	PUNCT
ejpam-6267	490	26	t	t	PROPN
ejpam-6267	490	27	)	)	PUNCT
ejpam-6267	490	28	=	=	SYM
ejpam-6267	490	29	βλb3	βλb3	ADJ
ejpam-6267	490	30	γ(2α	γ(2α	NOUN
ejpam-6267	490	31	+1	+1	ADJ
ejpam-6267	490	32	)	)	PUNCT
ejpam-6267	490	33	t2α	t2α	X
ejpam-6267	491	1	+	+	CCONJ
ejpam-6267	491	2	1	1	NUM
ejpam-6267	491	3	γ(3α	γ(3α	NOUN
ejpam-6267	491	4	+1	+1	NOUN
ejpam-6267	491	5	)	)	PUNCT
ejpam-6267	491	6	[	[	PUNCT
ejpam-6267	491	7	βb3wp	βb3wp	NUM
ejpam-6267	492	1	p	p	X
ejpam-6267	492	2	+	+	PROPN
ejpam-6267	492	3	βb1wss	βb1wss	NOUN
ejpam-6267	492	4	−	−	NOUN
ejpam-6267	492	5	(	(	PUNCT
ejpam-6267	492	6	µ+α1)woo	µ+α1)woo	NOUN
ejpam-6267	492	7	+	+	NOUN
ejpam-6267	492	8	βwp	βwp	NOUN
ejpam-6267	492	9	wsγ(2α	wsγ(2α	NOUN
ejpam-6267	492	10	+1	+1	PROPN
ejpam-6267	492	11	(	(	PUNCT
ejpam-6267	492	12	γ(α	γ(α	PROPN
ejpam-6267	492	13	+1))2	+1))2	X
ejpam-6267	492	14	]	]	PUNCT
ejpam-6267	492	15	t3α	t3α	PROPN
ejpam-6267	492	16	,	,	PUNCT
ejpam-6267	492	17	s3	s3	PROPN
ejpam-6267	492	18	(	(	PUNCT
ejpam-6267	492	19	t	t	PROPN
ejpam-6267	492	20	)	)	PUNCT
ejpam-6267	492	21	=	=	SYM
ejpam-6267	492	22	1	1	NUM
ejpam-6267	492	23	γ(3α	γ(3α	NUM
ejpam-6267	492	24	+1	+1	NOUN
ejpam-6267	492	25	)	)	PUNCT
ejpam-6267	492	26	[	[	PUNCT
ejpam-6267	492	27	α1woo	α1woo	NUM
ejpam-6267	493	1	+	+	PRON
ejpam-6267	493	2	α2wqqb3	α2wqqb3	NUM
ejpam-6267	493	3	+	+	ADJ
ejpam-6267	493	4	α2wssb4	α2wssb4	PROPN
ejpam-6267	493	5	−	−	PROPN
ejpam-6267	493	6	(	(	PUNCT
ejpam-6267	493	7	µ+γ)wss	µ+γ)wss	X
ejpam-6267	493	8	+	+	CCONJ
ejpam-6267	493	9	α2wqwsγ(2α	α2wqwsγ(2α	PROPN
ejpam-6267	493	10	+1	+1	PROPN
ejpam-6267	493	11	)	)	PUNCT
ejpam-6267	493	12	(	(	PUNCT
ejpam-6267	493	13	γ(α	γ(α	PROPN
ejpam-6267	493	14	+1))2	+1))2	PROPN
ejpam-6267	493	15	]	]	PUNCT
ejpam-6267	493	16	t3α	t3α	PROPN
ejpam-6267	493	17	,	,	PUNCT
ejpam-6267	493	18	q3	q3	PROPN
ejpam-6267	493	19	(	(	PUNCT
ejpam-6267	493	20	t	t	PROPN
ejpam-6267	493	21	)	)	PUNCT
ejpam-6267	493	22	=	=	SYM
ejpam-6267	493	23	1	1	NUM
ejpam-6267	493	24	γ(3α	γ(3α	NUM
ejpam-6267	493	25	+1	+1	NOUN
ejpam-6267	493	26	)	)	PUNCT
ejpam-6267	494	1	[	[	PUNCT
ejpam-6267	494	2	−α2wqqb3	−α2wqqb3	NOUN
ejpam-6267	494	3	−α2wssb4	−α2wssb4	NOUN
ejpam-6267	494	4	−µwqq	−µwqq	PUNCT
ejpam-6267	495	1	+	+	NUM
ejpam-6267	495	2	γ(1−	γ(1−	X
ejpam-6267	495	3	δ)wss	δ)wss	ADJ
ejpam-6267	495	4	−	−	PROPN
ejpam-6267	495	5	α2wqwsγ(2α	α2wqwsγ(2α	PROPN
ejpam-6267	495	6	+1	+1	PROPN
ejpam-6267	495	7	)	)	PUNCT
ejpam-6267	495	8	(	(	PUNCT
ejpam-6267	495	9	γ(α	γ(α	PROPN
ejpam-6267	495	10	+1))2	+1))2	PROPN
ejpam-6267	495	11	]	]	PUNCT
ejpam-6267	495	12	t3α	t3α	PROPN
ejpam-6267	495	13	,	,	PUNCT
ejpam-6267	495	14	l3	l3	PROPN
ejpam-6267	495	15	(	(	PUNCT
ejpam-6267	495	16	t	t	PROPN
ejpam-6267	495	17	)	)	PUNCT
ejpam-6267	495	18	=	=	SYM
ejpam-6267	495	19	1	1	NUM
ejpam-6267	495	20	γ(3α	γ(3α	NUM
ejpam-6267	495	21	+1	+1	ADJ
ejpam-6267	495	22	)	)	PUNCT
ejpam-6267	496	1	[	[	X
ejpam-6267	496	2	(	(	PUNCT
ejpam-6267	496	3	δγwss	δγwss	NOUN
ejpam-6267	496	4	−µwll	−µwll	NOUN
ejpam-6267	496	5	)	)	PUNCT
ejpam-6267	496	6	]	]	PUNCT
ejpam-6267	496	7	t3α	t3α	PROPN
ejpam-6267	496	8	.	.	PUNCT
ejpam-6267	497	1	(	(	PUNCT
ejpam-6267	497	2	49	49	NUM
ejpam-6267	497	3	)	)	PUNCT
ejpam-6267	497	4	on	on	ADP
ejpam-6267	497	5	solving	solve	VERB
ejpam-6267	497	6	the	the	DET
ejpam-6267	497	7	above	above	ADJ
ejpam-6267	497	8	system	system	NOUN
ejpam-6267	497	9	using	use	VERB
ejpam-6267	497	10	initial	initial	ADJ
ejpam-6267	497	11	conditions	condition	NOUN
ejpam-6267	497	12	:	:	PUNCT
ejpam-6267	497	13	(	(	PUNCT
ejpam-6267	497	14	b1	b1	NOUN
ejpam-6267	497	15	,	,	PUNCT
ejpam-6267	497	16	b2	b2	NOUN
ejpam-6267	497	17	,	,	PUNCT
ejpam-6267	497	18	b3	b3	PROPN
ejpam-6267	497	19	,	,	PUNCT
ejpam-6267	497	20	b4	b4	NOUN
ejpam-6267	497	21	,	,	PUNCT
ejpam-6267	497	22	b5	b5	PROPN
ejpam-6267	497	23	)	)	PUNCT
ejpam-6267	498	1	=	=	PUNCT
ejpam-6267	498	2	(	(	PUNCT
ejpam-6267	498	3	40	40	NUM
ejpam-6267	498	4	,	,	PUNCT
ejpam-6267	498	5	10	10	NUM
ejpam-6267	498	6	,	,	PUNCT
ejpam-6267	498	7	20	20	NUM
ejpam-6267	498	8	,	,	PUNCT
ejpam-6267	498	9	10	10	NUM
ejpam-6267	498	10	,	,	PUNCT
ejpam-6267	498	11	5).	5).	NUM
ejpam-6267	498	12	p1	p1	NOUN
ejpam-6267	498	13	(	(	PUNCT
ejpam-6267	498	14	t	t	PROPN
ejpam-6267	498	15	)	)	PUNCT
ejpam-6267	498	16	=	=	SYM
ejpam-6267	499	1	λ−800β	λ−800β	PUNCT
ejpam-6267	499	2	−40µ	−40µ	PRON
ejpam-6267	499	3	γ	γ	X
ejpam-6267	499	4	(	(	PUNCT
ejpam-6267	499	5	α	α	PROPN
ejpam-6267	499	6	+1	+1	PROPN
ejpam-6267	499	7	)	)	PUNCT
ejpam-6267	499	8	tα	tα	PROPN
ejpam-6267	499	9	o1	o1	PROPN
ejpam-6267	499	10	(	(	PUNCT
ejpam-6267	499	11	t	t	PROPN
ejpam-6267	499	12	)	)	PUNCT
ejpam-6267	499	13	=	=	SYM
ejpam-6267	500	1	800β	800β	PROPN
ejpam-6267	500	2	−10µ−10α1	−10µ−10α1	PROPN
ejpam-6267	500	3	γ	γ	X
ejpam-6267	500	4	(	(	PUNCT
ejpam-6267	500	5	α	α	PROPN
ejpam-6267	500	6	+1	+1	PROPN
ejpam-6267	500	7	)	)	PUNCT
ejpam-6267	500	8	tα	tα	PROPN
ejpam-6267	500	9	s1	s1	PROPN
ejpam-6267	500	10	(	(	PUNCT
ejpam-6267	500	11	t	t	PROPN
ejpam-6267	500	12	)	)	PUNCT
ejpam-6267	500	13	=	=	SYM
ejpam-6267	501	1	10α1	10α1	NUM
ejpam-6267	501	2	+200α2	+200α2	NUM
ejpam-6267	501	3	−20(µ+γ	−20(µ+γ	NOUN
ejpam-6267	501	4	)	)	PUNCT
ejpam-6267	501	5	γ	γ	PROPN
ejpam-6267	501	6	(	(	PUNCT
ejpam-6267	501	7	α	α	PROPN
ejpam-6267	501	8	+1	+1	PROPN
ejpam-6267	501	9	)	)	PUNCT
ejpam-6267	501	10	tα	tα	PROPN
ejpam-6267	501	11	q1	q1	PROPN
ejpam-6267	501	12	(	(	PUNCT
ejpam-6267	501	13	t	t	PROPN
ejpam-6267	501	14	)	)	PUNCT
ejpam-6267	501	15	=	=	SYM
ejpam-6267	502	1	−200α2	−200α2	NUM
ejpam-6267	502	2	−10µ+20γ(1−σ	−10µ+20γ(1−σ	NOUN
ejpam-6267	502	3	)	)	PUNCT
ejpam-6267	502	4	γ	γ	PROPN
ejpam-6267	502	5	(	(	PUNCT
ejpam-6267	502	6	α	α	PROPN
ejpam-6267	502	7	+1	+1	PROPN
ejpam-6267	502	8	)	)	PUNCT
ejpam-6267	502	9	tα	tα	PROPN
ejpam-6267	502	10	l1	l1	PROPN
ejpam-6267	502	11	(	(	PUNCT
ejpam-6267	502	12	t	t	PROPN
ejpam-6267	502	13	)	)	PUNCT
ejpam-6267	502	14	=	=	NOUN
ejpam-6267	503	1	20σγ	20σγ	NOUN
ejpam-6267	503	2	−5µ	−5µ	PROPN
ejpam-6267	503	3	γ	γ	X
ejpam-6267	503	4	(	(	PUNCT
ejpam-6267	503	5	α	α	PROPN
ejpam-6267	503	6	+1	+1	PROPN
ejpam-6267	503	7	)	)	PUNCT
ejpam-6267	503	8	tα	tα	PROPN
ejpam-6267	503	9	(	(	PUNCT
ejpam-6267	503	10	50	50	NUM
ejpam-6267	503	11	)	)	PUNCT
ejpam-6267	503	12	we	we	PRON
ejpam-6267	503	13	define	define	VERB
ejpam-6267	503	14	:	:	PUNCT
ejpam-6267	503	15	wp	wp	PROPN
ejpam-6267	503	16	=	=	SYM
ejpam-6267	503	17	λ−800β	λ−800β	PUNCT
ejpam-6267	503	18	−40µ	−40µ	PROPN
ejpam-6267	503	19	,	,	PUNCT
ejpam-6267	503	20	wo	will	AUX
ejpam-6267	503	21	=	=	PUNCT
ejpam-6267	503	22	800β	800β	PROPN
ejpam-6267	503	23	−10µ−10α1	−10µ−10α1	PROPN
ejpam-6267	503	24	,	,	PUNCT
ejpam-6267	503	25	ws	ws	NOUN
ejpam-6267	503	26	=	=	SYM
ejpam-6267	503	27	10α1	10α1	NUM
ejpam-6267	503	28	+200α2	+200α2	ADV
ejpam-6267	503	29	−20(µ+γ	−20(µ+γ	NOUN
ejpam-6267	503	30	)	)	PUNCT
ejpam-6267	503	31	,	,	PUNCT
ejpam-6267	503	32	wq	wq	NOUN
ejpam-6267	504	1	=	=	SYM
ejpam-6267	504	2	−200α2	−200α2	NUM
ejpam-6267	504	3	−10µ+20γ(1−σ	−10µ+20γ(1−σ	NOUN
ejpam-6267	504	4	)	)	PUNCT
ejpam-6267	504	5	,	,	PUNCT
ejpam-6267	504	6	wl	wl	X
ejpam-6267	505	1	=	=	SYM
ejpam-6267	505	2	20σγ	20σγ	NOUN
ejpam-6267	505	3	−5µ.	−5µ.	X
ejpam-6267	505	4	so	so	ADV
ejpam-6267	505	5			NUM
ejpam-6267	505	6	p2	p2	PROPN
ejpam-6267	505	7	(	(	PUNCT
ejpam-6267	505	8	t	t	NOUN
ejpam-6267	505	9	)	)	PUNCT
ejpam-6267	505	10	=	=	PUNCT
ejpam-6267	506	1	λ	λ	X
ejpam-6267	506	2	γ	γ	X
ejpam-6267	506	3	(	(	PUNCT
ejpam-6267	506	4	α	α	PROPN
ejpam-6267	506	5	+1	+1	PROPN
ejpam-6267	506	6	)	)	PUNCT
ejpam-6267	506	7	tα	tα	VERB
ejpam-6267	506	8	+	+	CCONJ
ejpam-6267	506	9	1	1	NUM
ejpam-6267	506	10	γ(2α	γ(2α	NOUN
ejpam-6267	506	11	+1	+1	NOUN
ejpam-6267	506	12	)	)	PUNCT
ejpam-6267	507	1	[	[	X
ejpam-6267	507	2	−40βws	−40βws	ADJ
ejpam-6267	507	3	−	−	PROPN
ejpam-6267	507	4	(	(	PUNCT
ejpam-6267	507	5	20β	20β	NOUN
ejpam-6267	508	1	+	+	PROPN
ejpam-6267	508	2	µ)wp	µ)wp	PROPN
ejpam-6267	508	3	]	]	PUNCT
ejpam-6267	508	4	t2α	t2α	NUM
ejpam-6267	508	5	,	,	PUNCT
ejpam-6267	508	6	o2	o2	PROPN
ejpam-6267	508	7	(	(	PUNCT
ejpam-6267	508	8	t	t	PROPN
ejpam-6267	508	9	)	)	PUNCT
ejpam-6267	508	10	=	=	SYM
ejpam-6267	508	11	1	1	NUM
ejpam-6267	508	12	γ(2α	γ(2α	X
ejpam-6267	508	13	+1	+1	NOUN
ejpam-6267	508	14	)	)	PUNCT
ejpam-6267	509	1	[	[	X
ejpam-6267	509	2	40βws	40βws	NOUN
ejpam-6267	509	3	+20βwp	+20βwp	X
ejpam-6267	510	1	−	−	PROPN
ejpam-6267	510	2	(	(	PUNCT
ejpam-6267	510	3	µ+α1)wo	µ+α1)wo	PROPN
ejpam-6267	510	4	]	]	PUNCT
ejpam-6267	510	5	t2α	t2α	NUM
ejpam-6267	510	6	,	,	PUNCT
ejpam-6267	510	7	s2	s2	PROPN
ejpam-6267	510	8	(	(	PUNCT
ejpam-6267	510	9	t	t	PROPN
ejpam-6267	510	10	)	)	PUNCT
ejpam-6267	510	11	=	=	SYM
ejpam-6267	510	12	1	1	NUM
ejpam-6267	510	13	γ(2α	γ(2α	X
ejpam-6267	510	14	+1	+1	NOUN
ejpam-6267	510	15	)	)	PUNCT
ejpam-6267	511	1	[	[	X
ejpam-6267	511	2	α1wo	α1wo	X
ejpam-6267	511	3	+20α2wq	+20α2wq	PROPN
ejpam-6267	511	4	+10α2ws	+10α2ws	PROPN
ejpam-6267	511	5	−	−	PROPN
ejpam-6267	511	6	(	(	PUNCT
ejpam-6267	511	7	µ+γ)ws	µ+γ)ws	X
ejpam-6267	511	8	]	]	PUNCT
ejpam-6267	511	9	t2α	t2α	NUM
ejpam-6267	511	10	,	,	PUNCT
ejpam-6267	511	11	q2	q2	NOUN
ejpam-6267	511	12	(	(	PUNCT
ejpam-6267	511	13	t	t	PROPN
ejpam-6267	511	14	)	)	PUNCT
ejpam-6267	511	15	=	=	SYM
ejpam-6267	511	16	1	1	NUM
ejpam-6267	511	17	γ(2α	γ(2α	X
ejpam-6267	511	18	+1	+1	NOUN
ejpam-6267	511	19	)	)	PUNCT
ejpam-6267	512	1	[	[	X
ejpam-6267	512	2	−10α2	−10α2	X
ejpam-6267	512	3	+	+	ADP
ejpam-6267	512	4	γ(1−σ)ws	γ(1−σ)ws	ADJ
ejpam-6267	512	5	+	+	ADJ
ejpam-6267	512	6	(	(	PUNCT
ejpam-6267	512	7	−20α2	−20α2	ADP
ejpam-6267	512	8	−µ)wq	−µ)wq	ADJ
ejpam-6267	512	9	]	]	PUNCT
ejpam-6267	512	10	t2α	t2α	NUM
ejpam-6267	512	11	,	,	PUNCT
ejpam-6267	512	12	l2	l2	NOUN
ejpam-6267	512	13	(	(	PUNCT
ejpam-6267	512	14	t	t	NOUN
ejpam-6267	512	15	)	)	PUNCT
ejpam-6267	512	16	=	=	SYM
ejpam-6267	512	17	1	1	NUM
ejpam-6267	512	18	γ(2α	γ(2α	X
ejpam-6267	512	19	+1	+1	NOUN
ejpam-6267	512	20	)	)	PUNCT
ejpam-6267	513	1	[	[	X
ejpam-6267	513	2	σγws	σγws	X
ejpam-6267	513	3	−µwl	−µwl	NOUN
ejpam-6267	513	4	]	]	PUNCT
ejpam-6267	513	5	t2α	t2α	NUM
ejpam-6267	513	6	,	,	PUNCT
ejpam-6267	513	7	(	(	PUNCT
ejpam-6267	513	8	51	51	NUM
ejpam-6267	513	9	)	)	PUNCT
ejpam-6267	513	10	r.	r.	NOUN
ejpam-6267	513	11	belgacem	belgacem	NOUN
ejpam-6267	513	12	et	et	PROPN
ejpam-6267	513	13	al	al	PROPN
ejpam-6267	513	14	.	.	PUNCT
ejpam-6267	513	15	/	/	SYM
ejpam-6267	513	16	eur	eur	PROPN
ejpam-6267	513	17	.	.	PUNCT
ejpam-6267	514	1	j.	j.	PROPN
ejpam-6267	514	2	pure	pure	PROPN
ejpam-6267	514	3	appl	appl	PROPN
ejpam-6267	514	4	.	.	PROPN
ejpam-6267	514	5	math	math	PROPN
ejpam-6267	514	6	,	,	PUNCT
ejpam-6267	514	7	18	18	NUM
ejpam-6267	514	8	(	(	PUNCT
ejpam-6267	514	9	4	4	NUM
ejpam-6267	514	10	)	)	PUNCT
ejpam-6267	514	11	(	(	PUNCT
ejpam-6267	514	12	2025	2025	NUM
ejpam-6267	514	13	)	)	PUNCT
ejpam-6267	514	14	,	,	PUNCT
ejpam-6267	514	15	6267	6267	NUM
ejpam-6267	514	16	19	19	NUM
ejpam-6267	514	17	of	of	ADP
ejpam-6267	514	18	26	26	NUM
ejpam-6267	514	19	we	we	PRON
ejpam-6267	514	20	pose	pose	VERB
ejpam-6267	514	21	:	:	PUNCT
ejpam-6267	514	22	wp	wp	PROPN
ejpam-6267	514	23	p	p	NOUN
ejpam-6267	514	24	=	=	PUNCT
ejpam-6267	514	25	−40β	−40β	PROPN
ejpam-6267	514	26	ws	ws	NOUN
ejpam-6267	514	27	−	−	PROPN
ejpam-6267	514	28	(	(	PUNCT
ejpam-6267	514	29	20β	20β	NOUN
ejpam-6267	514	30	+	+	PROPN
ejpam-6267	514	31	µ)wp	µ)wp	PROPN
ejpam-6267	514	32	,	,	PUNCT
ejpam-6267	514	33	woo	woo	VERB
ejpam-6267	514	34	=	=	SYM
ejpam-6267	514	35	40β	40β	X
ejpam-6267	514	36	ws	ws	PROPN
ejpam-6267	514	37	+20β	+20β	SYM
ejpam-6267	515	1	wp	wp	PROPN
ejpam-6267	516	1	−	−	PROPN
ejpam-6267	517	1	(	(	PUNCT
ejpam-6267	517	2	µ+α1)wo	µ+α1)wo	ADV
ejpam-6267	517	3	,	,	PUNCT
ejpam-6267	517	4	wss	wss	NOUN
ejpam-6267	517	5	=	=	SYM
ejpam-6267	517	6	α1wo	α1wo	NUM
ejpam-6267	518	1	+20α2wq	+20α2wq	PROPN
ejpam-6267	518	2	+10α2ws	+10α2ws	PROPN
ejpam-6267	518	3	−	−	PROPN
ejpam-6267	518	4	(	(	PUNCT
ejpam-6267	518	5	µ+γ)ws	µ+γ)ws	PROPN
ejpam-6267	518	6	,	,	PUNCT
ejpam-6267	518	7	wqq	wqq	NOUN
ejpam-6267	518	8	=	=	SYM
ejpam-6267	518	9	(	(	PUNCT
ejpam-6267	518	10	−10α2	−10α2	NUM
ejpam-6267	519	1	+	+	ADP
ejpam-6267	519	2	γ(1−σ))ws	γ(1−σ))ws	PROPN
ejpam-6267	519	3	+	+	ADJ
ejpam-6267	519	4	(	(	PUNCT
ejpam-6267	519	5	−20α2	−20α2	ADP
ejpam-6267	519	6	−µ)wq	−µ)wq	ADJ
ejpam-6267	519	7	,	,	PUNCT
ejpam-6267	519	8	wll	wll	X
ejpam-6267	519	9	=	=	SYM
ejpam-6267	519	10	σγ	σγ	PROPN
ejpam-6267	519	11	ws	ws	PROPN
ejpam-6267	519	12	−µwl.	−µwl.	PROPN
ejpam-6267	519	13	p3	p3	PROPN
ejpam-6267	519	14	(	(	PUNCT
ejpam-6267	519	15	t	t	PROPN
ejpam-6267	519	16	)	)	PUNCT
ejpam-6267	519	17	=	=	PUNCT
ejpam-6267	520	1	λ	λ	PROPN
ejpam-6267	520	2	γ(α	γ(α	PROPN
ejpam-6267	520	3	+1	+1	PROPN
ejpam-6267	520	4	)	)	PUNCT
ejpam-6267	520	5	tα	tα	PROPN
ejpam-6267	520	6	−	−	PROPN
ejpam-6267	521	1	λ(20β	λ(20β	PROPN
ejpam-6267	522	1	+	+	NOUN
ejpam-6267	522	2	µ	µ	NOUN
ejpam-6267	522	3	)	)	PUNCT
ejpam-6267	522	4	γ(2α	γ(2α	X
ejpam-6267	522	5	+1	+1	NOUN
ejpam-6267	522	6	)	)	PUNCT
ejpam-6267	522	7	t2α	t2α	X
ejpam-6267	523	1	+	+	CCONJ
ejpam-6267	523	2	1	1	NUM
ejpam-6267	523	3	γ(3α	γ(3α	NOUN
ejpam-6267	523	4	+1	+1	NOUN
ejpam-6267	523	5	)	)	PUNCT
ejpam-6267	523	6	[	[	PUNCT
ejpam-6267	523	7	−β(20wp	−β(20wp	NOUN
ejpam-6267	523	8	p	p	X
ejpam-6267	523	9	+40wss)−µwp	+40wss)−µwp	ADP
ejpam-6267	523	10	p	p	NOUN
ejpam-6267	523	11	−	−	PROPN
ejpam-6267	523	12	βwp	βwp	NOUN
ejpam-6267	523	13	wsγ(2α	wsγ(2α	NOUN
ejpam-6267	523	14	+1	+1	PROPN
ejpam-6267	523	15	)	)	PUNCT
ejpam-6267	523	16	(	(	PUNCT
ejpam-6267	523	17	γ(α	γ(α	PROPN
ejpam-6267	523	18	+1))2	+1))2	PROPN
ejpam-6267	523	19	]	]	PUNCT
ejpam-6267	523	20	t3α	t3α	PROPN
ejpam-6267	523	21	,	,	PUNCT
ejpam-6267	523	22	o3	o3	PROPN
ejpam-6267	523	23	(	(	PUNCT
ejpam-6267	523	24	t	t	PROPN
ejpam-6267	523	25	)	)	PUNCT
ejpam-6267	523	26	=	=	SYM
ejpam-6267	524	1	20βλ	20βλ	NOUN
ejpam-6267	524	2	γ(2α	γ(2α	X
ejpam-6267	524	3	+1	+1	ADJ
ejpam-6267	524	4	)	)	PUNCT
ejpam-6267	524	5	t2α	t2α	AUX
ejpam-6267	525	1	+	+	CCONJ
ejpam-6267	525	2	1	1	NUM
ejpam-6267	525	3	γ(3α	γ(3α	NOUN
ejpam-6267	525	4	+1	+1	NOUN
ejpam-6267	525	5	)	)	PUNCT
ejpam-6267	525	6	[	[	PUNCT
ejpam-6267	525	7	20βwp	20βwp	NOUN
ejpam-6267	525	8	p	p	NOUN
ejpam-6267	525	9	+40βwss	+40βwss	NOUN
ejpam-6267	525	10	−	−	PROPN
ejpam-6267	525	11	(	(	PUNCT
ejpam-6267	525	12	µ+α1)woo	µ+α1)woo	NOUN
ejpam-6267	525	13	+	+	NOUN
ejpam-6267	525	14	βwp	βwp	NOUN
ejpam-6267	525	15	wsγ(2α	wsγ(2α	NOUN
ejpam-6267	526	1	+1	+1	PROPN
ejpam-6267	526	2	(	(	PUNCT
ejpam-6267	526	3	γ(α	γ(α	PROPN
ejpam-6267	526	4	+1))2	+1))2	X
ejpam-6267	526	5	]	]	PUNCT
ejpam-6267	526	6	t3α	t3α	PROPN
ejpam-6267	526	7	,	,	PUNCT
ejpam-6267	526	8	s3	s3	PROPN
ejpam-6267	526	9	(	(	PUNCT
ejpam-6267	526	10	t	t	PROPN
ejpam-6267	526	11	)	)	PUNCT
ejpam-6267	526	12	=	=	SYM
ejpam-6267	526	13	1	1	NUM
ejpam-6267	526	14	γ(3α	γ(3α	NUM
ejpam-6267	526	15	+1	+1	NOUN
ejpam-6267	526	16	)	)	PUNCT
ejpam-6267	526	17	[	[	PUNCT
ejpam-6267	526	18	α1woo	α1woo	NUM
ejpam-6267	526	19	+20α2wqq	+20α2wqq	VERB
ejpam-6267	526	20	+10α2wss	+10α2wss	ADV
ejpam-6267	526	21	−	−	PROPN
ejpam-6267	526	22	(	(	PUNCT
ejpam-6267	526	23	µ+γ)wss	µ+γ)wss	X
ejpam-6267	526	24	+	+	CCONJ
ejpam-6267	526	25	α2wqwsγ(2α	α2wqwsγ(2α	PROPN
ejpam-6267	526	26	+1	+1	PROPN
ejpam-6267	526	27	)	)	PUNCT
ejpam-6267	526	28	(	(	PUNCT
ejpam-6267	526	29	γ(α	γ(α	PROPN
ejpam-6267	526	30	+1))2	+1))2	PROPN
ejpam-6267	526	31	]	]	PUNCT
ejpam-6267	526	32	t3α	t3α	PROPN
ejpam-6267	526	33	,	,	PUNCT
ejpam-6267	526	34	q3	q3	PROPN
ejpam-6267	526	35	(	(	PUNCT
ejpam-6267	526	36	t	t	PROPN
ejpam-6267	526	37	)	)	PUNCT
ejpam-6267	526	38	=	=	SYM
ejpam-6267	526	39	1	1	NUM
ejpam-6267	526	40	γ(3α	γ(3α	NUM
ejpam-6267	526	41	+1	+1	NOUN
ejpam-6267	526	42	)	)	PUNCT
ejpam-6267	526	43	[	[	PUNCT
ejpam-6267	526	44	−20α2wqq	−20α2wqq	ADJ
ejpam-6267	526	45	−10α2wss	−10α2wss	NOUN
ejpam-6267	526	46	−µwqq	−µwqq	NOUN
ejpam-6267	527	1	+	+	SYM
ejpam-6267	527	2	γ(1−	γ(1−	X
ejpam-6267	527	3	δ)wss	δ)wss	ADJ
ejpam-6267	527	4	−	−	PROPN
ejpam-6267	527	5	α2wqwsγ(2α	α2wqwsγ(2α	PROPN
ejpam-6267	527	6	+1	+1	PROPN
ejpam-6267	527	7	)	)	PUNCT
ejpam-6267	527	8	(	(	PUNCT
ejpam-6267	527	9	γ(α	γ(α	PROPN
ejpam-6267	527	10	+1))2	+1))2	PROPN
ejpam-6267	527	11	]	]	PUNCT
ejpam-6267	527	12	t3α	t3α	PROPN
ejpam-6267	527	13	.	.	PUNCT
ejpam-6267	528	1	l3	l3	PROPN
ejpam-6267	528	2	(	(	PUNCT
ejpam-6267	528	3	t	t	PROPN
ejpam-6267	528	4	)	)	PUNCT
ejpam-6267	528	5	=	=	SYM
ejpam-6267	528	6	1	1	NUM
ejpam-6267	528	7	γ(3α	γ(3α	NUM
ejpam-6267	528	8	+1	+1	ADJ
ejpam-6267	528	9	)	)	PUNCT
ejpam-6267	529	1	[	[	X
ejpam-6267	529	2	(	(	PUNCT
ejpam-6267	529	3	δγwss	δγwss	NOUN
ejpam-6267	529	4	−µwll	−µwll	NOUN
ejpam-6267	529	5	)	)	PUNCT
ejpam-6267	529	6	]	]	PUNCT
ejpam-6267	529	7	t3α	t3α	PROPN
ejpam-6267	529	8	.	.	PUNCT
ejpam-6267	530	1	(	(	PUNCT
ejpam-6267	530	2	52	52	NUM
ejpam-6267	530	3	)	)	PUNCT
ejpam-6267	530	4	in	in	ADP
ejpam-6267	530	5	particular	particular	ADJ
ejpam-6267	530	6	,	,	PUNCT
ejpam-6267	530	7	the	the	DET
ejpam-6267	530	8	global	global	PROPN
ejpam-6267	530	9	adm	adm	PROPN
ejpam-6267	530	10	solution	solution	NOUN
ejpam-6267	530	11	is	be	AUX
ejpam-6267	530	12	written	write	VERB
ejpam-6267	530	13	as	as	ADP
ejpam-6267	530	14	the	the	DET
ejpam-6267	530	15	sum	sum	NOUN
ejpam-6267	530	16	of	of	ADP
ejpam-6267	530	17	the	the	DET
ejpam-6267	530	18	series	series	NOUN
ejpam-6267	530	19	:	:	PUNCT
ejpam-6267	530	20	p	p	X
ejpam-6267	530	21	(	(	PUNCT
ejpam-6267	530	22	t	t	NOUN
ejpam-6267	530	23	)	)	PUNCT
ejpam-6267	530	24	=	=	SYM
ejpam-6267	530	25	40+p1(t)+p2(t)+p3(t)+	40+p1(t)+p2(t)+p3(t)+	X
ejpam-6267	530	26	·	·	PUNCT
ejpam-6267	530	27	·	·	PUNCT
ejpam-6267	530	28	·	·	PUNCT
ejpam-6267	530	29	,	,	PUNCT
ejpam-6267	530	30	o(t	o(t	PROPN
ejpam-6267	530	31	)	)	PUNCT
ejpam-6267	531	1	=	=	SYM
ejpam-6267	531	2	10+o1(t)+o2(t)+o3(t)+	10+o1(t)+o2(t)+o3(t)+	NUM
ejpam-6267	531	3	·	·	PUNCT
ejpam-6267	531	4	·	·	PUNCT
ejpam-6267	531	5	·	·	PUNCT
ejpam-6267	531	6	,	,	PUNCT
ejpam-6267	531	7	s(t	s(t	PROPN
ejpam-6267	531	8	)	)	PUNCT
ejpam-6267	531	9	=	=	SYM
ejpam-6267	531	10	20+s1(t)+s2(t)+s3(t)+	20+s1(t)+s2(t)+s3(t)+	NUM
ejpam-6267	531	11	·	·	PUNCT
ejpam-6267	531	12	·	·	PUNCT
ejpam-6267	531	13	·	·	PUNCT
ejpam-6267	531	14	,	,	PUNCT
ejpam-6267	531	15	q(t	q(t	X
ejpam-6267	531	16	)	)	PUNCT
ejpam-6267	531	17	=	=	SYM
ejpam-6267	531	18	10+q1(t)+q2(t)+q3(t)+	10+q1(t)+q2(t)+q3(t)+	NUM
ejpam-6267	531	19	·	·	PUNCT
ejpam-6267	531	20	·	·	PUNCT
ejpam-6267	531	21	·	·	PUNCT
ejpam-6267	531	22	,	,	PUNCT
ejpam-6267	531	23	l(t	l(t	PROPN
ejpam-6267	531	24	)	)	PUNCT
ejpam-6267	531	25	=	=	SYM
ejpam-6267	532	1	5+l1(t)+l2(t)+l3(t)+	5+l1(t)+l2(t)+l3(t)+	NOUN
ejpam-6267	532	2	·	·	PUNCT
ejpam-6267	532	3	·	·	PUNCT
ejpam-6267	532	4	·	·	PUNCT
ejpam-6267	532	5	,	,	PUNCT
ejpam-6267	532	6	where	where	SCONJ
ejpam-6267	532	7	the	the	DET
ejpam-6267	532	8	terms	term	NOUN
ejpam-6267	532	9	p1	p1	PROPN
ejpam-6267	532	10	,	,	PUNCT
ejpam-6267	532	11	.	.	PUNCT
ejpam-6267	532	12	.	.	PUNCT
ejpam-6267	532	13	.	.	PUNCT
ejpam-6267	533	1	,	,	PUNCT
ejpam-6267	533	2	l3	l3	PROPN
ejpam-6267	533	3	above	above	ADV
ejpam-6267	533	4	provide	provide	VERB
ejpam-6267	533	5	a	a	DET
ejpam-6267	533	6	global	global	ADJ
ejpam-6267	533	7	approximation	approximation	NOUN
ejpam-6267	533	8	of	of	ADP
ejpam-6267	533	9	order	order	NOUN
ejpam-6267	533	10	3α	3α	NOUN
ejpam-6267	533	11	:	:	PUNCT
ejpam-6267	533	12	(	(	PUNCT
ejpam-6267	533	13	p	p	X
ejpam-6267	533	14	,	,	PUNCT
ejpam-6267	533	15	o	o	NOUN
ejpam-6267	533	16	,	,	PUNCT
ejpam-6267	533	17	s	s	PROPN
ejpam-6267	533	18	,	,	PUNCT
ejpam-6267	533	19	q	q	NOUN
ejpam-6267	533	20	,	,	PUNCT
ejpam-6267	533	21	l)(t	l)(t	ADJ
ejpam-6267	533	22	)	)	PUNCT
ejpam-6267	534	1	≈	≈	PROPN
ejpam-6267	534	2	(	(	PUNCT
ejpam-6267	534	3	b1	b1	PROPN
ejpam-6267	534	4	,	,	PUNCT
ejpam-6267	534	5	b2	b2	NOUN
ejpam-6267	534	6	,	,	PUNCT
ejpam-6267	534	7	b3	b3	PROPN
ejpam-6267	534	8	,	,	PUNCT
ejpam-6267	534	9	b4	b4	NOUN
ejpam-6267	534	10	,	,	PUNCT
ejpam-6267	534	11	b5)+	b5)+	NOUN
ejpam-6267	534	12	3∑	3∑	NUM
ejpam-6267	534	13	n=1	n=1	PROPN
ejpam-6267	534	14	(	(	PUNCT
ejpam-6267	534	15	pn(t),on(t),sn(t),qn(t),ln(t	pn(t),on(t),sn(t),qn(t),ln(t	PROPN
ejpam-6267	534	16	)	)	PUNCT
ejpam-6267	534	17	)	)	PUNCT
ejpam-6267	534	18	.	.	PUNCT
ejpam-6267	535	1	5.2	5.2	NUM
ejpam-6267	535	2	.	.	PUNCT
ejpam-6267	535	3	simulations	simulation	NOUN
ejpam-6267	535	4	and	and	CCONJ
ejpam-6267	535	5	discussion	discussion	NOUN
ejpam-6267	535	6	we	we	PRON
ejpam-6267	535	7	perform	perform	VERB
ejpam-6267	535	8	a	a	DET
ejpam-6267	535	9	numerical	numerical	ADJ
ejpam-6267	535	10	investigation	investigation	NOUN
ejpam-6267	535	11	of	of	ADP
ejpam-6267	535	12	the	the	DET
ejpam-6267	535	13	fractional	fractional	ADJ
ejpam-6267	535	14	smoking	smoking	NOUN
ejpam-6267	535	15	epidemic	epidemic	NOUN
ejpam-6267	535	16	model	model	NOUN
ejpam-6267	535	17	with	with	ADP
ejpam-6267	535	18	a	a	DET
ejpam-6267	535	19	nonlinear	nonlinear	ADJ
ejpam-6267	535	20	incidence	incidence	NOUN
ejpam-6267	535	21	rate	rate	NOUN
ejpam-6267	535	22	to	to	PART
ejpam-6267	535	23	assess	assess	VERB
ejpam-6267	535	24	the	the	DET
ejpam-6267	535	25	influence	influence	NOUN
ejpam-6267	535	26	of	of	ADP
ejpam-6267	535	27	key	key	ADJ
ejpam-6267	535	28	parameters	parameter	NOUN
ejpam-6267	535	29	,	,	PUNCT
ejpam-6267	535	30	particularly	particularly	ADV
ejpam-6267	535	31	the	the	DET
ejpam-6267	535	32	fractional	fractional	ADJ
ejpam-6267	535	33	order	order	NOUN
ejpam-6267	535	34	α	α	NOUN
ejpam-6267	535	35	.	.	PUNCT
ejpam-6267	536	1	simulations	simulation	NOUN
ejpam-6267	536	2	are	be	AUX
ejpam-6267	536	3	conducted	conduct	VERB
ejpam-6267	536	4	for	for	ADP
ejpam-6267	536	5	a	a	DET
ejpam-6267	536	6	range	range	NOUN
ejpam-6267	536	7	of	of	ADP
ejpam-6267	536	8	integer	integer	NOUN
ejpam-6267	536	9	,	,	PUNCT
ejpam-6267	536	10	fractional	fractional	ADJ
ejpam-6267	536	11	,	,	PUNCT
ejpam-6267	536	12	and	and	CCONJ
ejpam-6267	536	13	mixed	mixed	ADJ
ejpam-6267	536	14	integerfractional	integerfractional	ADJ
ejpam-6267	536	15	values	value	NOUN
ejpam-6267	536	16	of	of	ADP
ejpam-6267	536	17	α	α	NOUN
ejpam-6267	536	18	,	,	PUNCT
ejpam-6267	536	19	enabling	enable	VERB
ejpam-6267	536	20	a	a	DET
ejpam-6267	536	21	comparative	comparative	ADJ
ejpam-6267	536	22	analysis	analysis	NOUN
ejpam-6267	536	23	of	of	ADP
ejpam-6267	536	24	their	their	PRON
ejpam-6267	536	25	effects	effect	NOUN
ejpam-6267	536	26	on	on	ADP
ejpam-6267	536	27	the	the	DET
ejpam-6267	536	28	model	model	NOUN
ejpam-6267	536	29	dynamics	dynamic	NOUN
ejpam-6267	536	30	.	.	PUNCT
ejpam-6267	537	1	the	the	DET
ejpam-6267	537	2	results	result	NOUN
ejpam-6267	537	3	indicate	indicate	VERB
ejpam-6267	537	4	that	that	SCONJ
ejpam-6267	537	5	fractional	fractional	ADJ
ejpam-6267	537	6	orders	order	NOUN
ejpam-6267	537	7	introduce	introduce	VERB
ejpam-6267	537	8	only	only	ADV
ejpam-6267	537	9	subtle	subtle	ADJ
ejpam-6267	537	10	modifications	modification	NOUN
ejpam-6267	537	11	to	to	ADP
ejpam-6267	537	12	the	the	DET
ejpam-6267	537	13	overall	overall	ADJ
ejpam-6267	537	14	epidemic	epidemic	NOUN
ejpam-6267	537	15	evolution	evolution	NOUN
ejpam-6267	537	16	,	,	PUNCT
ejpam-6267	537	17	yet	yet	CCONJ
ejpam-6267	537	18	they	they	PRON
ejpam-6267	537	19	enhance	enhance	VERB
ejpam-6267	537	20	the	the	DET
ejpam-6267	537	21	accuracy	accuracy	NOUN
ejpam-6267	537	22	of	of	ADP
ejpam-6267	537	23	the	the	DET
ejpam-6267	537	24	numerical	numerical	ADJ
ejpam-6267	537	25	approximation	approximation	NOUN
ejpam-6267	537	26	across	across	ADP
ejpam-6267	537	27	different	different	ADJ
ejpam-6267	537	28	fractional	fractional	ADJ
ejpam-6267	537	29	frameworks	framework	NOUN
ejpam-6267	537	30	.	.	PUNCT
ejpam-6267	538	1	notably	notably	ADV
ejpam-6267	538	2	,	,	PUNCT
ejpam-6267	538	3	for	for	ADP
ejpam-6267	538	4	potential	potential	ADJ
ejpam-6267	538	5	smokers	smoker	NOUN
ejpam-6267	538	6	(	(	PUNCT
ejpam-6267	538	7	non	non	ADJ
ejpam-6267	538	8	-	-	NOUN
ejpam-6267	538	9	smokers	smoker	NOUN
ejpam-6267	538	10	)	)	PUNCT
ejpam-6267	538	11	,	,	PUNCT
ejpam-6267	538	12	the	the	DET
ejpam-6267	538	13	simulations	simulation	NOUN
ejpam-6267	538	14	reveal	reveal	VERB
ejpam-6267	538	15	an	an	DET
ejpam-6267	538	16	increase	increase	NOUN
ejpam-6267	538	17	in	in	ADP
ejpam-6267	538	18	their	their	PRON
ejpam-6267	538	19	population	population	NOUN
ejpam-6267	538	20	size	size	NOUN
ejpam-6267	538	21	when	when	SCONJ
ejpam-6267	538	22	α	α	PROPN
ejpam-6267	538	23	takes	take	VERB
ejpam-6267	538	24	fractional	fractional	ADJ
ejpam-6267	538	25	values	value	NOUN
ejpam-6267	538	26	.	.	PUNCT
ejpam-6267	539	1	these	these	DET
ejpam-6267	539	2	findings	finding	NOUN
ejpam-6267	539	3	are	be	AUX
ejpam-6267	539	4	illustrated	illustrate	VERB
ejpam-6267	539	5	in	in	ADP
ejpam-6267	539	6	figure	figure	NOUN
ejpam-6267	539	7	2	2	NUM
ejpam-6267	539	8	,	,	PUNCT
ejpam-6267	539	9	while	while	SCONJ
ejpam-6267	539	10	figure	figure	NOUN
ejpam-6267	539	11	3	3	NUM
ejpam-6267	539	12	provides	provide	VERB
ejpam-6267	539	13	a	a	DET
ejpam-6267	539	14	detailed	detailed	ADJ
ejpam-6267	539	15	depiction	depiction	NOUN
ejpam-6267	539	16	of	of	ADP
ejpam-6267	539	17	the	the	DET
ejpam-6267	539	18	variation	variation	NOUN
ejpam-6267	539	19	of	of	ADP
ejpam-6267	539	20	the	the	DET
ejpam-6267	539	21	r0	r0	NOUN
ejpam-6267	539	22	.	.	PUNCT
ejpam-6267	540	1	r.	r.	PROPN
ejpam-6267	540	2	belgacem	belgacem	PROPN
ejpam-6267	540	3	et	et	PROPN
ejpam-6267	540	4	al	al	PROPN
ejpam-6267	540	5	.	.	PUNCT
ejpam-6267	540	6	/	/	SYM
ejpam-6267	540	7	eur	eur	PROPN
ejpam-6267	540	8	.	.	PUNCT
ejpam-6267	541	1	j.	j.	PROPN
ejpam-6267	541	2	pure	pure	PROPN
ejpam-6267	541	3	appl	appl	PROPN
ejpam-6267	541	4	.	.	PROPN
ejpam-6267	541	5	math	math	PROPN
ejpam-6267	541	6	,	,	PUNCT
ejpam-6267	541	7	18	18	NUM
ejpam-6267	541	8	(	(	PUNCT
ejpam-6267	541	9	4	4	NUM
ejpam-6267	541	10	)	)	PUNCT
ejpam-6267	541	11	(	(	PUNCT
ejpam-6267	541	12	2025	2025	NUM
ejpam-6267	541	13	)	)	PUNCT
ejpam-6267	541	14	,	,	PUNCT
ejpam-6267	541	15	6267	6267	NUM
ejpam-6267	541	16	20	20	NUM
ejpam-6267	541	17	of	of	ADP
ejpam-6267	541	18	26	26	NUM
ejpam-6267	541	19	from	from	ADP
ejpam-6267	541	20	the	the	DET
ejpam-6267	541	21	perspective	perspective	NOUN
ejpam-6267	541	22	,	,	PUNCT
ejpam-6267	541	23	one	one	NUM
ejpam-6267	541	24	of	of	ADP
ejpam-6267	541	25	the	the	DET
ejpam-6267	541	26	infected	infected	ADJ
ejpam-6267	541	27	compartments	compartment	NOUN
ejpam-6267	541	28	,	,	PUNCT
ejpam-6267	541	29	s(t	s(t	PROPN
ejpam-6267	541	30	)	)	PUNCT
ejpam-6267	541	31	,	,	PUNCT
ejpam-6267	541	32	remains	remain	VERB
ejpam-6267	541	33	nonzero	nonzero	ADJ
ejpam-6267	541	34	and	and	CCONJ
ejpam-6267	541	35	exhibits	exhibit	VERB
ejpam-6267	541	36	convergence	convergence	NOUN
ejpam-6267	541	37	for	for	ADP
ejpam-6267	541	38	both	both	CCONJ
ejpam-6267	541	39	integer	integer	NOUN
ejpam-6267	541	40	and	and	CCONJ
ejpam-6267	541	41	fractional	fractional	ADJ
ejpam-6267	541	42	orders	order	NOUN
ejpam-6267	541	43	of	of	ADP
ejpam-6267	541	44	α	α	NOUN
ejpam-6267	541	45	,	,	PUNCT
ejpam-6267	541	46	whereas	whereas	SCONJ
ejpam-6267	541	47	the	the	DET
ejpam-6267	541	48	other	other	ADJ
ejpam-6267	541	49	infected	infected	ADJ
ejpam-6267	541	50	compartment	compartment	NOUN
ejpam-6267	541	51	approaches	approach	NOUN
ejpam-6267	541	52	zero	zero	NUM
ejpam-6267	541	53	over	over	ADP
ejpam-6267	541	54	time	time	NOUN
ejpam-6267	541	55	.	.	PUNCT
ejpam-6267	542	1	furthermore	furthermore	ADV
ejpam-6267	542	2	,	,	PUNCT
ejpam-6267	542	3	the	the	DET
ejpam-6267	542	4	infection	infection	NOUN
ejpam-6267	542	5	rate	rate	NOUN
ejpam-6267	542	6	is	be	AUX
ejpam-6267	542	7	observed	observe	VERB
ejpam-6267	542	8	to	to	PART
ejpam-6267	542	9	decrease	decrease	VERB
ejpam-6267	542	10	progressively	progressively	ADV
ejpam-6267	542	11	as	as	SCONJ
ejpam-6267	542	12	the	the	DET
ejpam-6267	542	13	fractional	fractional	ADJ
ejpam-6267	542	14	order	order	NOUN
ejpam-6267	542	15	α	α	NOUN
ejpam-6267	542	16	decreases	decrease	VERB
ejpam-6267	542	17	.	.	PUNCT
ejpam-6267	543	1	the	the	DET
ejpam-6267	543	2	numerical	numerical	ADJ
ejpam-6267	543	3	values	value	NOUN
ejpam-6267	543	4	of	of	ADP
ejpam-6267	543	5	the	the	DET
ejpam-6267	543	6	parameters	parameter	NOUN
ejpam-6267	543	7	λ	λ	PROPN
ejpam-6267	543	8	,	,	PUNCT
ejpam-6267	543	9	β	β	NOUN
ejpam-6267	543	10	,	,	PUNCT
ejpam-6267	543	11	ζ	ζ	PROPN
ejpam-6267	543	12	,	,	PUNCT
ejpam-6267	543	13	σ	σ	PROPN
ejpam-6267	543	14	,	,	PUNCT
ejpam-6267	543	15	γ	γ	PROPN
ejpam-6267	543	16	,	,	PUNCT
ejpam-6267	543	17	α1	α1	NOUN
ejpam-6267	543	18	,	,	PUNCT
ejpam-6267	543	19	and	and	CCONJ
ejpam-6267	543	20	α2	α2	PROPN
ejpam-6267	543	21	used	use	VERB
ejpam-6267	543	22	in	in	ADP
ejpam-6267	543	23	these	these	DET
ejpam-6267	543	24	simulations	simulation	NOUN
ejpam-6267	543	25	are	be	AUX
ejpam-6267	543	26	summarized	summarize	VERB
ejpam-6267	543	27	in	in	ADP
ejpam-6267	543	28	table	table	NOUN
ejpam-6267	543	29	3	3	NUM
ejpam-6267	543	30	.	.	PUNCT
ejpam-6267	544	1	parameters	parameter	NOUN
ejpam-6267	544	2	λ	λ	X
ejpam-6267	544	3	β	β	X
ejpam-6267	544	4	µ	µ	X
ejpam-6267	544	5	α1	α1	PROPN
ejpam-6267	544	6	α2	α2	PROPN
ejpam-6267	544	7	γ	γ	PROPN
ejpam-6267	544	8	δ	δ	PROPN
ejpam-6267	544	9	values	value	VERB
ejpam-6267	544	10	1	1	NUM
ejpam-6267	544	11	0.14	0.14	NUM
ejpam-6267	544	12	0.05	0.05	NUM
ejpam-6267	544	13	0.002	0.002	NUM
ejpam-6267	544	14	0.0025	0.0025	NUM
ejpam-6267	544	15	0.8	0.8	NUM
ejpam-6267	544	16	0.1	0.1	NUM
ejpam-6267	544	17	table	table	NOUN
ejpam-6267	544	18	3	3	NUM
ejpam-6267	544	19	:	:	PUNCT
ejpam-6267	544	20	specific	specific	ADJ
ejpam-6267	544	21	values	value	NOUN
ejpam-6267	544	22	of	of	ADP
ejpam-6267	544	23	parameters	parameter	NOUN
ejpam-6267	544	24	used	use	VERB
ejpam-6267	544	25	in	in	ADP
ejpam-6267	544	26	system	system	NOUN
ejpam-6267	544	27	13	13	NUM
ejpam-6267	544	28	.	.	PUNCT
ejpam-6267	545	1	figure	figure	NOUN
ejpam-6267	545	2	2	2	NUM
ejpam-6267	545	3	:	:	PUNCT
ejpam-6267	545	4	numerical	numerical	ADJ
ejpam-6267	545	5	solutions	solution	NOUN
ejpam-6267	545	6	for	for	ADP
ejpam-6267	545	7	p	p	PROPN
ejpam-6267	545	8	(	(	PUNCT
ejpam-6267	545	9	t	t	PROPN
ejpam-6267	545	10	)	)	PUNCT
ejpam-6267	545	11	,	,	PUNCT
ejpam-6267	545	12	o	o	PROPN
ejpam-6267	545	13	(	(	PUNCT
ejpam-6267	545	14	t	t	PROPN
ejpam-6267	545	15	)	)	PUNCT
ejpam-6267	545	16	,	,	PUNCT
ejpam-6267	545	17	q(t	q(t	PROPN
ejpam-6267	545	18	)	)	PUNCT
ejpam-6267	545	19	,	,	PUNCT
ejpam-6267	545	20	p	p	X
ejpam-6267	545	21	(	(	PUNCT
ejpam-6267	545	22	t	t	PROPN
ejpam-6267	545	23	)	)	PUNCT
ejpam-6267	545	24	and	and	CCONJ
ejpam-6267	545	25	l(t	l(t	NOUN
ejpam-6267	545	26	)	)	PUNCT
ejpam-6267	545	27	6	6	NUM
ejpam-6267	545	28	.	.	PUNCT
ejpam-6267	546	1	numerical	numerical	ADJ
ejpam-6267	546	2	approximation	approximation	NOUN
ejpam-6267	546	3	via	via	ADP
ejpam-6267	546	4	the	the	DET
ejpam-6267	546	5	hybrid	hybrid	ADJ
ejpam-6267	546	6	tn	tn	PROPN
ejpam-6267	546	7	g	g	PROPN
ejpam-6267	546	8	-	-	PUNCT
ejpam-6267	546	9	adm	adm	PROPN
ejpam-6267	546	10	–	–	PUNCT
ejpam-6267	546	11	ann	ann	PROPN
ejpam-6267	546	12	method	method	NOUN
ejpam-6267	546	13	we	we	PRON
ejpam-6267	546	14	now	now	ADV
ejpam-6267	546	15	introduce	introduce	VERB
ejpam-6267	546	16	a	a	DET
ejpam-6267	546	17	new	new	ADJ
ejpam-6267	546	18	hybrid	hybrid	NOUN
ejpam-6267	546	19	method	method	NOUN
ejpam-6267	546	20	that	that	PRON
ejpam-6267	546	21	combines	combine	VERB
ejpam-6267	546	22	the	the	DET
ejpam-6267	546	23	tn	tn	PROPN
ejpam-6267	546	24	g	g	PROPN
ejpam-6267	546	25	-	-	PUNCT
ejpam-6267	546	26	adm	adm	NOUN
ejpam-6267	546	27	method	method	NOUN
ejpam-6267	546	28	with	with	ADP
ejpam-6267	546	29	an	an	DET
ejpam-6267	546	30	artificial	artificial	ADJ
ejpam-6267	546	31	neural	neural	ADJ
ejpam-6267	546	32	network	network	NOUN
ejpam-6267	546	33	(	(	PUNCT
ejpam-6267	546	34	ann	ann	PROPN
ejpam-6267	546	35	)	)	PUNCT
ejpam-6267	546	36	algorithm	algorithm	NOUN
ejpam-6267	546	37	to	to	PART
ejpam-6267	546	38	approximate	approximate	VERB
ejpam-6267	546	39	the	the	DET
ejpam-6267	546	40	solutions	solution	NOUN
ejpam-6267	546	41	s	s	PROPN
ejpam-6267	546	42	,	,	PUNCT
ejpam-6267	546	43	p	p	X
ejpam-6267	546	44	,	,	PUNCT
ejpam-6267	546	45	l	l	NOUN
ejpam-6267	546	46	,	,	PUNCT
ejpam-6267	546	47	o	o	NOUN
ejpam-6267	546	48	,	,	PUNCT
ejpam-6267	546	49	q	q	PROPN
ejpam-6267	546	50	of	of	ADP
ejpam-6267	546	51	r.	r.	PROPN
ejpam-6267	546	52	belgacem	belgacem	PROPN
ejpam-6267	546	53	et	et	PROPN
ejpam-6267	546	54	al	al	PROPN
ejpam-6267	546	55	.	.	PUNCT
ejpam-6267	546	56	/	/	SYM
ejpam-6267	546	57	eur	eur	PROPN
ejpam-6267	546	58	.	.	PUNCT
ejpam-6267	547	1	j.	j.	PROPN
ejpam-6267	547	2	pure	pure	PROPN
ejpam-6267	547	3	appl	appl	PROPN
ejpam-6267	547	4	.	.	PROPN
ejpam-6267	547	5	math	math	PROPN
ejpam-6267	547	6	,	,	PUNCT
ejpam-6267	547	7	18	18	NUM
ejpam-6267	547	8	(	(	PUNCT
ejpam-6267	547	9	4	4	NUM
ejpam-6267	547	10	)	)	PUNCT
ejpam-6267	547	11	(	(	PUNCT
ejpam-6267	547	12	2025	2025	NUM
ejpam-6267	547	13	)	)	PUNCT
ejpam-6267	547	14	,	,	PUNCT
ejpam-6267	547	15	6267	6267	NUM
ejpam-6267	547	16	21	21	NUM
ejpam-6267	547	17	of	of	ADP
ejpam-6267	547	18	26	26	NUM
ejpam-6267	547	19	figure	figure	NOUN
ejpam-6267	547	20	3	3	NUM
ejpam-6267	547	21	:	:	PUNCT
ejpam-6267	547	22	(	(	PUNCT
ejpam-6267	547	23	a	a	X
ejpam-6267	547	24	):	):	PUNCT
ejpam-6267	547	25	variation	variation	NOUN
ejpam-6267	547	26	of	of	ADP
ejpam-6267	547	27	r0	r0	NOUN
ejpam-6267	547	28	with	with	ADP
ejpam-6267	547	29	α1	α1	PROPN
ejpam-6267	547	30	(	(	PUNCT
ejpam-6267	547	31	fixed	fix	VERB
ejpam-6267	547	32	β	β	X
ejpam-6267	547	33	)	)	PUNCT
ejpam-6267	547	34	,	,	PUNCT
ejpam-6267	547	35	(	(	PUNCT
ejpam-6267	547	36	b	b	X
ejpam-6267	547	37	):	):	PUNCT
ejpam-6267	547	38	variation	variation	NOUN
ejpam-6267	547	39	of	of	ADP
ejpam-6267	547	40	r0	r0	NOUN
ejpam-6267	547	41	with	with	ADP
ejpam-6267	547	42	β	β	PROPN
ejpam-6267	547	43	(	(	PUNCT
ejpam-6267	547	44	fixed	fix	VERB
ejpam-6267	547	45	α1	α1	PROPN
ejpam-6267	547	46	)	)	PUNCT
ejpam-6267	547	47	,	,	PUNCT
ejpam-6267	547	48	(	(	PUNCT
ejpam-6267	547	49	c):3d	c):3d	DET
ejpam-6267	547	50	variation	variation	NOUN
ejpam-6267	547	51	of	of	ADP
ejpam-6267	547	52	r0	r0	NOUN
ejpam-6267	547	53	as	as	ADP
ejpam-6267	547	54	a	a	DET
ejpam-6267	547	55	function	function	NOUN
ejpam-6267	547	56	of	of	ADP
ejpam-6267	547	57	α1	α1	PROPN
ejpam-6267	547	58	and	and	CCONJ
ejpam-6267	547	59	β	β	X
ejpam-6267	547	60	the	the	DET
ejpam-6267	547	61	proposed	propose	VERB
ejpam-6267	547	62	model	model	NOUN
ejpam-6267	547	63	over	over	ADP
ejpam-6267	547	64	the	the	DET
ejpam-6267	547	65	time	time	NOUN
ejpam-6267	547	66	domain	domain	NOUN
ejpam-6267	547	67	t	t	X
ejpam-6267	547	68	∈	∈	PROPN
ejpam-6267	548	1	[	[	X
ejpam-6267	548	2	0,t	0,t	X
ejpam-6267	548	3	]	]	X
ejpam-6267	548	4	.	.	PUNCT
ejpam-6267	549	1	the	the	DET
ejpam-6267	549	2	proposed	propose	VERB
ejpam-6267	549	3	method	method	NOUN
ejpam-6267	549	4	is	be	AUX
ejpam-6267	549	5	implemented	implement	VERB
ejpam-6267	549	6	through	through	ADP
ejpam-6267	549	7	a	a	DET
ejpam-6267	549	8	two	two	NUM
ejpam-6267	549	9	-	-	PUNCT
ejpam-6267	549	10	step	step	NOUN
ejpam-6267	549	11	strategy	strategy	NOUN
ejpam-6267	549	12	:	:	PUNCT
ejpam-6267	549	13	(	(	PUNCT
ejpam-6267	549	14	i	i	NOUN
ejpam-6267	549	15	)	)	PUNCT
ejpam-6267	549	16	first	first	ADV
ejpam-6267	549	17	,	,	PUNCT
ejpam-6267	549	18	a	a	DET
ejpam-6267	549	19	reference	reference	NOUN
ejpam-6267	549	20	solution	solution	NOUN
ejpam-6267	549	21	is	be	AUX
ejpam-6267	549	22	obtained	obtain	VERB
ejpam-6267	549	23	by	by	ADP
ejpam-6267	549	24	applying	apply	VERB
ejpam-6267	549	25	the	the	DET
ejpam-6267	549	26	tn	tn	PROPN
ejpam-6267	549	27	g	g	PROPN
ejpam-6267	549	28	-	-	PUNCT
ejpam-6267	549	29	adm	adm	NOUN
ejpam-6267	549	30	technique	technique	NOUN
ejpam-6267	549	31	to	to	ADP
ejpam-6267	549	32	the	the	DET
ejpam-6267	549	33	model	model	NOUN
ejpam-6267	549	34	.	.	PUNCT
ejpam-6267	550	1	(	(	PUNCT
ejpam-6267	550	2	ii	ii	NOUN
ejpam-6267	550	3	)	)	PUNCT
ejpam-6267	550	4	next	next	ADV
ejpam-6267	550	5	,	,	PUNCT
ejpam-6267	550	6	an	an	DET
ejpam-6267	550	7	ann	ann	PROPN
ejpam-6267	550	8	is	be	AUX
ejpam-6267	550	9	trained	train	VERB
ejpam-6267	550	10	to	to	PART
ejpam-6267	550	11	learn	learn	VERB
ejpam-6267	550	12	the	the	DET
ejpam-6267	550	13	dynamics	dynamic	NOUN
ejpam-6267	550	14	of	of	ADP
ejpam-6267	550	15	the	the	DET
ejpam-6267	550	16	variables	variable	NOUN
ejpam-6267	550	17	by	by	ADP
ejpam-6267	550	18	minimizing	minimize	VERB
ejpam-6267	550	19	the	the	DET
ejpam-6267	550	20	gap	gap	NOUN
ejpam-6267	550	21	between	between	ADP
ejpam-6267	550	22	its	its	PRON
ejpam-6267	550	23	predictions	prediction	NOUN
ejpam-6267	550	24	and	and	CCONJ
ejpam-6267	550	25	the	the	DET
ejpam-6267	550	26	tn	tn	PROPN
ejpam-6267	550	27	g	g	PROPN
ejpam-6267	550	28	-	-	PUNCT
ejpam-6267	550	29	adm	adm	PROPN
ejpam-6267	550	30	reference	reference	NOUN
ejpam-6267	550	31	solution	solution	NOUN
ejpam-6267	550	32	.	.	PUNCT
ejpam-6267	551	1	the	the	DET
ejpam-6267	551	2	ann	ann	PROPN
ejpam-6267	551	3	-	-	PUNCT
ejpam-6267	551	4	based	base	VERB
ejpam-6267	551	5	algorithm	algorithm	NOUN
ejpam-6267	551	6	is	be	AUX
ejpam-6267	551	7	designed	design	VERB
ejpam-6267	551	8	to	to	PART
ejpam-6267	551	9	approximate	approximate	VERB
ejpam-6267	551	10	the	the	DET
ejpam-6267	551	11	solution	solution	NOUN
ejpam-6267	551	12	of	of	ADP
ejpam-6267	551	13	the	the	DET
ejpam-6267	551	14	fractional	fractional	ADJ
ejpam-6267	551	15	smoking	smoking	NOUN
ejpam-6267	551	16	model	model	NOUN
ejpam-6267	551	17	by	by	ADP
ejpam-6267	551	18	taking	take	VERB
ejpam-6267	551	19	time	time	NOUN
ejpam-6267	551	20	t	t	NOUN
ejpam-6267	551	21	as	as	ADP
ejpam-6267	551	22	input	input	NOUN
ejpam-6267	551	23	and	and	CCONJ
ejpam-6267	551	24	producing	produce	VERB
ejpam-6267	551	25	a	a	DET
ejpam-6267	551	26	vector	vector	NOUN
ejpam-6267	551	27	output	output	NOUN
ejpam-6267	551	28	[	[	X
ejpam-6267	551	29	s	s	X
ejpam-6267	551	30	,	,	PUNCT
ejpam-6267	551	31	p	p	X
ejpam-6267	551	32	,	,	PUNCT
ejpam-6267	551	33	l	l	NOUN
ejpam-6267	551	34	,	,	PUNCT
ejpam-6267	551	35	o	o	NOUN
ejpam-6267	551	36	,	,	PUNCT
ejpam-6267	551	37	q	q	X
ejpam-6267	551	38	]	]	X
ejpam-6267	551	39	.	.	PUNCT
ejpam-6267	552	1	it	it	PRON
ejpam-6267	552	2	consists	consist	VERB
ejpam-6267	552	3	of	of	ADP
ejpam-6267	552	4	a	a	DET
ejpam-6267	552	5	feedforward	feedforward	ADJ
ejpam-6267	552	6	neural	neural	ADJ
ejpam-6267	552	7	network	network	NOUN
ejpam-6267	552	8	with	with	ADP
ejpam-6267	552	9	an	an	DET
ejpam-6267	552	10	input	input	NOUN
ejpam-6267	552	11	layer	layer	NOUN
ejpam-6267	552	12	containing	contain	VERB
ejpam-6267	552	13	a	a	DET
ejpam-6267	552	14	single	single	ADJ
ejpam-6267	552	15	neuron	neuron	NOUN
ejpam-6267	552	16	,	,	PUNCT
ejpam-6267	552	17	two	two	NUM
ejpam-6267	552	18	hidden	hidden	ADJ
ejpam-6267	552	19	layers	layer	NOUN
ejpam-6267	552	20	with	with	ADP
ejpam-6267	552	21	50	50	NUM
ejpam-6267	552	22	neurons	neuron	NOUN
ejpam-6267	552	23	each	each	PRON
ejpam-6267	552	24	using	use	VERB
ejpam-6267	552	25	non	non	ADJ
ejpam-6267	552	26	linear	linear	ADJ
ejpam-6267	552	27	activation	activation	NOUN
ejpam-6267	552	28	functions	function	NOUN
ejpam-6267	552	29	,	,	PUNCT
ejpam-6267	552	30	and	and	CCONJ
ejpam-6267	552	31	an	an	DET
ejpam-6267	552	32	output	output	NOUN
ejpam-6267	552	33	layer	layer	NOUN
ejpam-6267	552	34	with	with	ADP
ejpam-6267	552	35	five	five	NUM
ejpam-6267	552	36	neurons	neuron	NOUN
ejpam-6267	552	37	employing	employ	VERB
ejpam-6267	552	38	a	a	DET
ejpam-6267	552	39	linear	linear	ADJ
ejpam-6267	552	40	activation	activation	NOUN
ejpam-6267	552	41	function	function	NOUN
ejpam-6267	552	42	.	.	PUNCT
ejpam-6267	553	1	prior	prior	ADV
ejpam-6267	553	2	to	to	ADP
ejpam-6267	553	3	training	training	NOUN
ejpam-6267	553	4	,	,	PUNCT
ejpam-6267	553	5	both	both	CCONJ
ejpam-6267	553	6	the	the	DET
ejpam-6267	553	7	input	input	NOUN
ejpam-6267	553	8	data	datum	NOUN
ejpam-6267	553	9	(	(	PUNCT
ejpam-6267	553	10	t	t	NOUN
ejpam-6267	553	11	)	)	PUNCT
ejpam-6267	553	12	and	and	CCONJ
ejpam-6267	553	13	the	the	DET
ejpam-6267	553	14	reference	reference	NOUN
ejpam-6267	553	15	solutions	solution	NOUN
ejpam-6267	553	16	(	(	PUNCT
ejpam-6267	553	17	obtained	obtain	VERB
ejpam-6267	553	18	via	via	ADP
ejpam-6267	553	19	tn	tn	PROPN
ejpam-6267	553	20	g	g	PROPN
ejpam-6267	553	21	-	-	PUNCT
ejpam-6267	553	22	adm	adm	PROPN
ejpam-6267	553	23	)	)	PUNCT
ejpam-6267	553	24	are	be	AUX
ejpam-6267	553	25	normalized	normalize	VERB
ejpam-6267	553	26	to	to	PART
ejpam-6267	553	27	enhance	enhance	VERB
ejpam-6267	553	28	numerical	numerical	ADJ
ejpam-6267	553	29	stability	stability	NOUN
ejpam-6267	553	30	.	.	PUNCT
ejpam-6267	554	1	the	the	DET
ejpam-6267	554	2	training	training	NOUN
ejpam-6267	554	3	process	process	NOUN
ejpam-6267	554	4	minimizes	minimize	VERB
ejpam-6267	554	5	the	the	DET
ejpam-6267	554	6	mean	mean	ADJ
ejpam-6267	554	7	squared	square	VERB
ejpam-6267	554	8	error	error	NOUN
ejpam-6267	554	9	(	(	PUNCT
ejpam-6267	554	10	mse	mse	NOUN
ejpam-6267	554	11	)	)	PUNCT
ejpam-6267	554	12	between	between	ADP
ejpam-6267	554	13	the	the	DET
ejpam-6267	554	14	ann	ann	PROPN
ejpam-6267	554	15	predictions	prediction	NOUN
ejpam-6267	554	16	and	and	CCONJ
ejpam-6267	554	17	the	the	DET
ejpam-6267	554	18	reference	reference	NOUN
ejpam-6267	554	19	values	value	NOUN
ejpam-6267	554	20	,	,	PUNCT
ejpam-6267	554	21	employing	employ	VERB
ejpam-6267	554	22	bayesian	bayesian	NOUN
ejpam-6267	554	23	regularization	regularization	NOUN
ejpam-6267	554	24	(	(	PUNCT
ejpam-6267	554	25	trainbr	trainbr	NOUN
ejpam-6267	554	26	)	)	PUNCT
ejpam-6267	554	27	to	to	PART
ejpam-6267	554	28	prevent	prevent	VERB
ejpam-6267	554	29	overfitting	overfitting	NOUN
ejpam-6267	554	30	.	.	PUNCT
ejpam-6267	555	1	the	the	DET
ejpam-6267	555	2	dataset	dataset	PROPN
ejpam-6267	555	3	r.	r.	PROPN
ejpam-6267	555	4	belgacem	belgacem	PROPN
ejpam-6267	555	5	et	et	PROPN
ejpam-6267	555	6	al	al	PROPN
ejpam-6267	555	7	.	.	PUNCT
ejpam-6267	555	8	/	/	SYM
ejpam-6267	555	9	eur	eur	PROPN
ejpam-6267	555	10	.	.	PUNCT
ejpam-6267	556	1	j.	j.	PROPN
ejpam-6267	556	2	pure	pure	PROPN
ejpam-6267	556	3	appl	appl	PROPN
ejpam-6267	556	4	.	.	PROPN
ejpam-6267	556	5	math	math	PROPN
ejpam-6267	556	6	,	,	PUNCT
ejpam-6267	556	7	18	18	NUM
ejpam-6267	556	8	(	(	PUNCT
ejpam-6267	556	9	4	4	NUM
ejpam-6267	556	10	)	)	PUNCT
ejpam-6267	556	11	(	(	PUNCT
ejpam-6267	556	12	2025	2025	NUM
ejpam-6267	556	13	)	)	PUNCT
ejpam-6267	556	14	,	,	PUNCT
ejpam-6267	556	15	6267	6267	NUM
ejpam-6267	556	16	22	22	NUM
ejpam-6267	556	17	of	of	ADP
ejpam-6267	556	18	26	26	NUM
ejpam-6267	556	19	is	be	AUX
ejpam-6267	556	20	divided	divide	VERB
ejpam-6267	556	21	into	into	ADP
ejpam-6267	556	22	three	three	NUM
ejpam-6267	556	23	distinct	distinct	ADJ
ejpam-6267	556	24	subsets	subset	NOUN
ejpam-6267	556	25	:	:	PUNCT
ejpam-6267	556	26	70	70	NUM
ejpam-6267	556	27	%	%	NOUN
ejpam-6267	556	28	allocated	allocate	VERB
ejpam-6267	556	29	for	for	ADP
ejpam-6267	556	30	training	train	VERB
ejpam-6267	556	31	the	the	DET
ejpam-6267	556	32	model	model	NOUN
ejpam-6267	556	33	,	,	PUNCT
ejpam-6267	556	34	15	15	NUM
ejpam-6267	556	35	%	%	NOUN
ejpam-6267	556	36	reserved	reserve	VERB
ejpam-6267	556	37	for	for	ADP
ejpam-6267	556	38	validation	validation	NOUN
ejpam-6267	556	39	to	to	ADP
ejpam-6267	556	40	fine	fine	ADJ
ejpam-6267	556	41	-	-	PUNCT
ejpam-6267	556	42	tune	tune	NOUN
ejpam-6267	556	43	hyperparameters	hyperparameter	NOUN
ejpam-6267	556	44	,	,	PUNCT
ejpam-6267	556	45	and	and	CCONJ
ejpam-6267	556	46	the	the	DET
ejpam-6267	556	47	remaining	remain	VERB
ejpam-6267	556	48	15	15	NUM
ejpam-6267	556	49	%	%	NOUN
ejpam-6267	556	50	set	set	VERB
ejpam-6267	556	51	aside	aside	ADV
ejpam-6267	556	52	for	for	ADP
ejpam-6267	556	53	evaluating	evaluate	VERB
ejpam-6267	556	54	the	the	DET
ejpam-6267	556	55	models	model	NOUN
ejpam-6267	556	56	performance	performance	NOUN
ejpam-6267	556	57	on	on	ADP
ejpam-6267	556	58	unseen	unseen	ADJ
ejpam-6267	556	59	data	datum	NOUN
ejpam-6267	556	60	.	.	PUNCT
ejpam-6267	557	1	the	the	DET
ejpam-6267	557	2	network	network	NOUN
ejpam-6267	557	3	parameters	parameter	NOUN
ejpam-6267	557	4	are	be	AUX
ejpam-6267	557	5	iteratively	iteratively	ADV
ejpam-6267	557	6	adjusted	adjust	VERB
ejpam-6267	557	7	until	until	ADP
ejpam-6267	557	8	convergence	convergence	NOUN
ejpam-6267	557	9	or	or	CCONJ
ejpam-6267	557	10	until	until	SCONJ
ejpam-6267	557	11	the	the	DET
ejpam-6267	557	12	maximum	maximum	ADJ
ejpam-6267	557	13	number	number	NOUN
ejpam-6267	557	14	of	of	ADP
ejpam-6267	557	15	epochs	epoch	NOUN
ejpam-6267	557	16	is	be	AUX
ejpam-6267	557	17	reached	reach	VERB
ejpam-6267	557	18	.	.	PUNCT
ejpam-6267	558	1	once	once	ADV
ejpam-6267	558	2	trained	train	VERB
ejpam-6267	558	3	,	,	PUNCT
ejpam-6267	558	4	the	the	DET
ejpam-6267	558	5	ann	ann	PROPN
ejpam-6267	558	6	provides	provide	VERB
ejpam-6267	558	7	rapid	rapid	ADJ
ejpam-6267	558	8	and	and	CCONJ
ejpam-6267	558	9	accurate	accurate	ADJ
ejpam-6267	558	10	predictions	prediction	NOUN
ejpam-6267	558	11	of	of	ADP
ejpam-6267	558	12	the	the	DET
ejpam-6267	558	13	system	system	NOUN
ejpam-6267	558	14	’s	’s	PART
ejpam-6267	558	15	evolution	evolution	NOUN
ejpam-6267	558	16	over	over	ADP
ejpam-6267	558	17	the	the	DET
ejpam-6267	558	18	entire	entire	ADJ
ejpam-6267	558	19	time	time	NOUN
ejpam-6267	558	20	domain	domain	NOUN
ejpam-6267	558	21	t	t	X
ejpam-6267	558	22	∈	∈	PROPN
ejpam-6267	559	1	[	[	X
ejpam-6267	559	2	0,t	0,t	X
ejpam-6267	559	3	]	]	X
ejpam-6267	559	4	.	.	PUNCT
ejpam-6267	560	1	by	by	ADP
ejpam-6267	560	2	integrating	integrate	VERB
ejpam-6267	560	3	the	the	DET
ejpam-6267	560	4	fractional	fractional	ADJ
ejpam-6267	560	5	differential	differential	ADJ
ejpam-6267	560	6	equations	equation	NOUN
ejpam-6267	560	7	into	into	ADP
ejpam-6267	560	8	its	its	PRON
ejpam-6267	560	9	loss	loss	NOUN
ejpam-6267	560	10	function	function	NOUN
ejpam-6267	560	11	,	,	PUNCT
ejpam-6267	560	12	this	this	DET
ejpam-6267	560	13	hybrid	hybrid	ADJ
ejpam-6267	560	14	approach	approach	NOUN
ejpam-6267	560	15	leverages	leverage	VERB
ejpam-6267	560	16	the	the	DET
ejpam-6267	560	17	reliability	reliability	NOUN
ejpam-6267	560	18	of	of	ADP
ejpam-6267	560	19	the	the	DET
ejpam-6267	560	20	tn	tn	PROPN
ejpam-6267	560	21	gadm	gadm	NOUN
ejpam-6267	560	22	method	method	NOUN
ejpam-6267	560	23	and	and	CCONJ
ejpam-6267	560	24	the	the	DET
ejpam-6267	560	25	generalization	generalization	NOUN
ejpam-6267	560	26	capability	capability	NOUN
ejpam-6267	560	27	of	of	ADP
ejpam-6267	560	28	the	the	DET
ejpam-6267	560	29	ann	ann	PROPN
ejpam-6267	560	30	,	,	PUNCT
ejpam-6267	560	31	offering	offer	VERB
ejpam-6267	560	32	a	a	DET
ejpam-6267	560	33	powerful	powerful	ADJ
ejpam-6267	560	34	tool	tool	NOUN
ejpam-6267	560	35	for	for	ADP
ejpam-6267	560	36	solving	solve	VERB
ejpam-6267	560	37	complex	complex	ADJ
ejpam-6267	560	38	differential	differential	ADJ
ejpam-6267	560	39	systems	system	NOUN
ejpam-6267	560	40	.	.	PUNCT
ejpam-6267	561	1	figure	figure	VERB
ejpam-6267	561	2	4	4	NUM
ejpam-6267	561	3	:	:	PUNCT
ejpam-6267	561	4	numerical	numerical	ADJ
ejpam-6267	561	5	solutions	solution	NOUN
ejpam-6267	561	6	for	for	ADP
ejpam-6267	561	7	p	p	PROPN
ejpam-6267	561	8	(	(	PUNCT
ejpam-6267	561	9	t	t	PROPN
ejpam-6267	561	10	)	)	PUNCT
ejpam-6267	561	11	,	,	PUNCT
ejpam-6267	561	12	o(t	o(t	PROPN
ejpam-6267	561	13	)	)	PUNCT
ejpam-6267	561	14	,	,	PUNCT
ejpam-6267	561	15	q(t	q(t	PROPN
ejpam-6267	561	16	)	)	PUNCT
ejpam-6267	561	17	,	,	PUNCT
ejpam-6267	561	18	p	p	X
ejpam-6267	561	19	(	(	PUNCT
ejpam-6267	561	20	t	t	PROPN
ejpam-6267	561	21	)	)	PUNCT
ejpam-6267	561	22	,	,	PUNCT
ejpam-6267	561	23	and	and	CCONJ
ejpam-6267	561	24	l(t	l(t	NOUN
ejpam-6267	561	25	)	)	PUNCT
ejpam-6267	561	26	obtained	obtain	VERB
ejpam-6267	561	27	using	use	VERB
ejpam-6267	561	28	the	the	DET
ejpam-6267	561	29	ann	ann	PROPN
ejpam-6267	561	30	algorithm	algorithm	NOUN
ejpam-6267	561	31	for	for	ADP
ejpam-6267	561	32	α	α	NOUN
ejpam-6267	561	33	=	=	SYM
ejpam-6267	561	34	1	1	X
ejpam-6267	561	35	.	.	PUNCT
ejpam-6267	562	1	in	in	ADP
ejpam-6267	562	2	this	this	DET
ejpam-6267	562	3	study	study	NOUN
ejpam-6267	562	4	,	,	PUNCT
ejpam-6267	562	5	we	we	PRON
ejpam-6267	562	6	evaluate	evaluate	VERB
ejpam-6267	562	7	the	the	DET
ejpam-6267	562	8	performance	performance	NOUN
ejpam-6267	562	9	of	of	ADP
ejpam-6267	562	10	the	the	DET
ejpam-6267	562	11	ann	ann	PROPN
ejpam-6267	562	12	by	by	ADP
ejpam-6267	562	13	comparing	compare	VERB
ejpam-6267	562	14	its	its	PRON
ejpam-6267	562	15	predictions	prediction	NOUN
ejpam-6267	562	16	with	with	ADP
ejpam-6267	562	17	the	the	DET
ejpam-6267	562	18	reference	reference	NOUN
ejpam-6267	562	19	solution	solution	NOUN
ejpam-6267	562	20	obtained	obtain	VERB
ejpam-6267	562	21	via	via	ADP
ejpam-6267	562	22	the	the	DET
ejpam-6267	562	23	tn	tn	PROPN
ejpam-6267	562	24	g	g	PROPN
ejpam-6267	562	25	-	-	PUNCT
ejpam-6267	562	26	adm	adm	PROPN
ejpam-6267	562	27	method	method	NOUN
ejpam-6267	562	28	.	.	PUNCT
ejpam-6267	563	1	figure	figure	NOUN
ejpam-6267	563	2	4	4	NUM
ejpam-6267	563	3	illustrates	illustrate	VERB
ejpam-6267	563	4	the	the	DET
ejpam-6267	563	5	plots	plot	NOUN
ejpam-6267	563	6	for	for	ADP
ejpam-6267	563	7	each	each	DET
ejpam-6267	563	8	variable	variable	NOUN
ejpam-6267	563	9	.	.	PUNCT
ejpam-6267	564	1	in	in	ADP
ejpam-6267	564	2	these	these	DET
ejpam-6267	564	3	plots	plot	NOUN
ejpam-6267	564	4	,	,	PUNCT
ejpam-6267	564	5	the	the	DET
ejpam-6267	564	6	tn	tn	PROPN
ejpam-6267	564	7	g	g	PROPN
ejpam-6267	564	8	-	-	PUNCT
ejpam-6267	564	9	adm	adm	PROPN
ejpam-6267	564	10	solutions	solution	NOUN
ejpam-6267	564	11	are	be	AUX
ejpam-6267	564	12	represented	represent	VERB
ejpam-6267	564	13	by	by	ADP
ejpam-6267	564	14	solid	solid	ADJ
ejpam-6267	564	15	lines	line	NOUN
ejpam-6267	564	16	,	,	PUNCT
ejpam-6267	564	17	while	while	SCONJ
ejpam-6267	564	18	the	the	DET
ejpam-6267	564	19	ann	ann	PROPN
ejpam-6267	564	20	predictions	prediction	NOUN
ejpam-6267	564	21	are	be	AUX
ejpam-6267	564	22	depicted	depict	VERB
ejpam-6267	564	23	as	as	ADP
ejpam-6267	564	24	dashed	dash	VERB
ejpam-6267	564	25	lines	line	NOUN
ejpam-6267	564	26	.	.	PUNCT
ejpam-6267	565	1	the	the	DET
ejpam-6267	565	2	close	close	ADJ
ejpam-6267	565	3	overlap	overlap	NOUN
ejpam-6267	565	4	of	of	ADP
ejpam-6267	565	5	the	the	DET
ejpam-6267	565	6	curves	curve	NOUN
ejpam-6267	565	7	indicates	indicate	VERB
ejpam-6267	565	8	that	that	SCONJ
ejpam-6267	565	9	the	the	DET
ejpam-6267	565	10	ann	ann	PROPN
ejpam-6267	565	11	has	have	AUX
ejpam-6267	565	12	accurately	accurately	ADV
ejpam-6267	565	13	captured	capture	VERB
ejpam-6267	565	14	the	the	DET
ejpam-6267	565	15	systems	system	NOUN
ejpam-6267	565	16	dynamics	dynamic	NOUN
ejpam-6267	565	17	.	.	PUNCT
ejpam-6267	566	1	table	table	NOUN
ejpam-6267	566	2	4	4	NUM
ejpam-6267	566	3	summarizes	summarize	NOUN
ejpam-6267	566	4	the	the	DET
ejpam-6267	566	5	global	global	ADJ
ejpam-6267	566	6	results	result	NOUN
ejpam-6267	566	7	for	for	ADP
ejpam-6267	566	8	each	each	DET
ejpam-6267	566	9	variable	variable	NOUN
ejpam-6267	566	10	.	.	PUNCT
ejpam-6267	567	1	for	for	ADP
ejpam-6267	567	2	each	each	DET
ejpam-6267	567	3	variable	variable	NOUN
ejpam-6267	567	4	,	,	PUNCT
ejpam-6267	567	5	the	the	DET
ejpam-6267	567	6	table	table	NOUN
ejpam-6267	567	7	lists	list	VERB
ejpam-6267	567	8	r.	r.	PROPN
ejpam-6267	567	9	belgacem	belgacem	VERB
ejpam-6267	567	10	et	et	PROPN
ejpam-6267	567	11	al	al	PROPN
ejpam-6267	567	12	.	.	PUNCT
ejpam-6267	567	13	/	/	SYM
ejpam-6267	567	14	eur	eur	PROPN
ejpam-6267	567	15	.	.	PUNCT
ejpam-6267	568	1	j.	j.	PROPN
ejpam-6267	568	2	pure	pure	PROPN
ejpam-6267	568	3	appl	appl	PROPN
ejpam-6267	568	4	.	.	PROPN
ejpam-6267	568	5	math	math	PROPN
ejpam-6267	568	6	,	,	PUNCT
ejpam-6267	568	7	18	18	NUM
ejpam-6267	568	8	(	(	PUNCT
ejpam-6267	568	9	4	4	NUM
ejpam-6267	568	10	)	)	PUNCT
ejpam-6267	568	11	(	(	PUNCT
ejpam-6267	568	12	2025	2025	NUM
ejpam-6267	568	13	)	)	PUNCT
ejpam-6267	568	14	,	,	PUNCT
ejpam-6267	568	15	6267	6267	NUM
ejpam-6267	568	16	23	23	NUM
ejpam-6267	568	17	of	of	ADP
ejpam-6267	568	18	26	26	NUM
ejpam-6267	568	19	the	the	DET
ejpam-6267	568	20	mean	mean	ADJ
ejpam-6267	568	21	value	value	NOUN
ejpam-6267	568	22	computed	compute	VERB
ejpam-6267	568	23	using	use	VERB
ejpam-6267	568	24	tn	tn	PROPN
ejpam-6267	568	25	g	g	PROPN
ejpam-6267	568	26	-	-	PUNCT
ejpam-6267	568	27	adm	adm	NOUN
ejpam-6267	568	28	(	(	PUNCT
ejpam-6267	568	29	denoted	denote	VERB
ejpam-6267	568	30	as	as	ADP
ejpam-6267	568	31	adm	adm	PROPN
ejpam-6267	568	32	(	(	PUNCT
ejpam-6267	568	33	mean	mean	NOUN
ejpam-6267	568	34	)	)	PUNCT
ejpam-6267	568	35	)	)	PUNCT
ejpam-6267	568	36	,	,	PUNCT
ejpam-6267	568	37	the	the	DET
ejpam-6267	568	38	corresponding	correspond	VERB
ejpam-6267	568	39	ann	ann	PROPN
ejpam-6267	568	40	-	-	PUNCT
ejpam-6267	568	41	predicted	predict	VERB
ejpam-6267	568	42	mean	mean	NOUN
ejpam-6267	568	43	(	(	PUNCT
ejpam-6267	568	44	denoted	denote	VERB
ejpam-6267	568	45	as	as	ADP
ejpam-6267	568	46	ann	ann	PROPN
ejpam-6267	568	47	(	(	PUNCT
ejpam-6267	568	48	mean	mean	NOUN
ejpam-6267	568	49	)	)	PUNCT
ejpam-6267	568	50	)	)	PUNCT
ejpam-6267	568	51	,	,	PUNCT
ejpam-6267	568	52	and	and	CCONJ
ejpam-6267	568	53	the	the	DET
ejpam-6267	568	54	mean	mean	ADJ
ejpam-6267	568	55	absolute	absolute	ADJ
ejpam-6267	568	56	error	error	NOUN
ejpam-6267	568	57	(	(	PUNCT
ejpam-6267	568	58	mae	mae	PROPN
ejpam-6267	568	59	)	)	PUNCT
ejpam-6267	568	60	,	,	PUNCT
ejpam-6267	568	61	defined	define	VERB
ejpam-6267	568	62	by	by	ADP
ejpam-6267	568	63	:	:	PUNCT
ejpam-6267	568	64	mae	mae	PROPN
ejpam-6267	568	65	=	=	PROPN
ejpam-6267	568	66	|xadm	|xadm	PROPN
ejpam-6267	568	67	−xann|	−xann|	NOUN
ejpam-6267	568	68	,	,	PUNCT
ejpam-6267	568	69	where	where	SCONJ
ejpam-6267	568	70	x	x	PRON
ejpam-6267	568	71	represents	represent	VERB
ejpam-6267	568	72	each	each	DET
ejpam-6267	568	73	variable	variable	NOUN
ejpam-6267	568	74	.	.	PUNCT
ejpam-6267	569	1	table	table	NOUN
ejpam-6267	569	2	4	4	NUM
ejpam-6267	569	3	:	:	PUNCT
ejpam-6267	569	4	comparison	comparison	NOUN
ejpam-6267	569	5	of	of	ADP
ejpam-6267	569	6	global	global	ADJ
ejpam-6267	569	7	results	result	NOUN
ejpam-6267	569	8	for	for	ADP
ejpam-6267	569	9	variables	variable	NOUN
ejpam-6267	569	10	s	s	PROPN
ejpam-6267	569	11	,	,	PUNCT
ejpam-6267	569	12	p	p	X
ejpam-6267	569	13	,	,	PUNCT
ejpam-6267	569	14	o	o	NOUN
ejpam-6267	569	15	,	,	PUNCT
ejpam-6267	569	16	q	q	X
ejpam-6267	569	17	,	,	PUNCT
ejpam-6267	569	18	and	and	CCONJ
ejpam-6267	569	19	l	l	NOUN
ejpam-6267	569	20	obtained	obtain	VERB
ejpam-6267	569	21	using	use	VERB
ejpam-6267	569	22	the	the	DET
ejpam-6267	569	23	tn	tn	PROPN
ejpam-6267	569	24	g	g	PROPN
ejpam-6267	569	25	-	-	PUNCT
ejpam-6267	569	26	adm	adm	PROPN
ejpam-6267	569	27	and	and	CCONJ
ejpam-6267	569	28	ann	ann	PROPN
ejpam-6267	569	29	methods	method	NOUN
ejpam-6267	569	30	.	.	PUNCT
ejpam-6267	570	1	variable	variable	ADJ
ejpam-6267	570	2	tn	tn	PROPN
ejpam-6267	570	3	g	g	PROPN
ejpam-6267	570	4	-	-	PUNCT
ejpam-6267	570	5	adm	adm	NOUN
ejpam-6267	570	6	(	(	PUNCT
ejpam-6267	570	7	mean	mean	NOUN
ejpam-6267	570	8	)	)	PUNCT
ejpam-6267	570	9	ann	ann	PROPN
ejpam-6267	570	10	(	(	PUNCT
ejpam-6267	570	11	mean	mean	PROPN
ejpam-6267	570	12	)	)	PUNCT
ejpam-6267	570	13	mae	mae	PROPN
ejpam-6267	570	14	s	s	PROPN
ejpam-6267	570	15	0.85	0.85	NUM
ejpam-6267	570	16	0.84	0.84	NUM
ejpam-6267	570	17	0.01	0.01	NUM
ejpam-6267	570	18	p	p	NOUN
ejpam-6267	570	19	0.65	0.65	NUM
ejpam-6267	570	20	0.66	0.66	NUM
ejpam-6267	570	21	0.01	0.01	NUM
ejpam-6267	570	22	o	o	NOUN
ejpam-6267	570	23	0.90	0.90	NUM
ejpam-6267	570	24	0.89	0.89	NUM
ejpam-6267	570	25	0.01	0.01	NUM
ejpam-6267	570	26	q	q	NOUN
ejpam-6267	570	27	1.10	1.10	NUM
ejpam-6267	570	28	1.08	1.08	NUM
ejpam-6267	570	29	0.02	0.02	NUM
ejpam-6267	570	30	l	l	NOUN
ejpam-6267	570	31	1.20	1.20	NUM
ejpam-6267	570	32	1.18	1.18	NUM
ejpam-6267	570	33	0.02	0.02	NUM
ejpam-6267	570	34	the	the	DET
ejpam-6267	570	35	low	low	ADJ
ejpam-6267	570	36	mean	mean	ADJ
ejpam-6267	570	37	absolute	absolute	ADJ
ejpam-6267	570	38	error	error	NOUN
ejpam-6267	570	39	values	value	NOUN
ejpam-6267	570	40	,	,	PUNCT
ejpam-6267	570	41	ranging	range	VERB
ejpam-6267	570	42	from	from	ADP
ejpam-6267	570	43	0.01	0.01	NUM
ejpam-6267	570	44	to	to	ADP
ejpam-6267	570	45	0.02	0.02	NUM
ejpam-6267	570	46	,	,	PUNCT
ejpam-6267	570	47	indicate	indicate	VERB
ejpam-6267	570	48	a	a	DET
ejpam-6267	570	49	strong	strong	ADJ
ejpam-6267	570	50	agreement	agreement	NOUN
ejpam-6267	570	51	between	between	ADP
ejpam-6267	570	52	the	the	DET
ejpam-6267	570	53	ann	ann	PROPN
ejpam-6267	570	54	predictions	prediction	NOUN
ejpam-6267	570	55	and	and	CCONJ
ejpam-6267	570	56	the	the	DET
ejpam-6267	570	57	reference	reference	NOUN
ejpam-6267	570	58	tn	tn	PROPN
ejpam-6267	570	59	g	g	PROPN
ejpam-6267	570	60	-	-	PUNCT
ejpam-6267	570	61	adm	adm	NOUN
ejpam-6267	570	62	solutions	solution	NOUN
ejpam-6267	570	63	,	,	PUNCT
ejpam-6267	570	64	with	with	ADP
ejpam-6267	570	65	an	an	DET
ejpam-6267	570	66	error	error	NOUN
ejpam-6267	570	67	of	of	ADP
ejpam-6267	570	68	approximately	approximately	ADV
ejpam-6267	570	69	1	1	NUM
ejpam-6267	570	70	%	%	NOUN
ejpam-6267	570	71	.	.	PUNCT
ejpam-6267	571	1	this	this	DET
ejpam-6267	571	2	level	level	NOUN
ejpam-6267	571	3	of	of	ADP
ejpam-6267	571	4	accuracy	accuracy	NOUN
ejpam-6267	571	5	is	be	AUX
ejpam-6267	571	6	generally	generally	ADV
ejpam-6267	571	7	sufficient	sufficient	ADJ
ejpam-6267	571	8	for	for	ADP
ejpam-6267	571	9	many	many	ADJ
ejpam-6267	571	10	scientific	scientific	ADJ
ejpam-6267	571	11	and	and	CCONJ
ejpam-6267	571	12	engineering	engineering	NOUN
ejpam-6267	571	13	applications	application	NOUN
ejpam-6267	571	14	.	.	PUNCT
ejpam-6267	572	1	if	if	SCONJ
ejpam-6267	572	2	higher	high	ADJ
ejpam-6267	572	3	accuracy	accuracy	NOUN
ejpam-6267	572	4	is	be	AUX
ejpam-6267	572	5	needed	need	VERB
ejpam-6267	572	6	,	,	PUNCT
ejpam-6267	572	7	enhancements	enhancement	NOUN
ejpam-6267	572	8	to	to	ADP
ejpam-6267	572	9	the	the	DET
ejpam-6267	572	10	network	network	NOUN
ejpam-6267	572	11	architecture	architecture	NOUN
ejpam-6267	572	12	or	or	CCONJ
ejpam-6267	572	13	adjustments	adjustment	NOUN
ejpam-6267	572	14	to	to	ADP
ejpam-6267	572	15	the	the	DET
ejpam-6267	572	16	training	training	NOUN
ejpam-6267	572	17	parameters	parameter	NOUN
ejpam-6267	572	18	may	may	AUX
ejpam-6267	572	19	be	be	AUX
ejpam-6267	572	20	considered	consider	VERB
ejpam-6267	572	21	.	.	PUNCT
ejpam-6267	573	1	the	the	DET
ejpam-6267	573	2	plotted	plot	VERB
ejpam-6267	573	3	trajectories	trajectory	NOUN
ejpam-6267	573	4	for	for	ADP
ejpam-6267	573	5	s	s	PROPN
ejpam-6267	573	6	,	,	PUNCT
ejpam-6267	573	7	p	p	X
ejpam-6267	573	8	,	,	PUNCT
ejpam-6267	573	9	l	l	NOUN
ejpam-6267	573	10	,	,	PUNCT
ejpam-6267	573	11	o	o	NOUN
ejpam-6267	573	12	,	,	PUNCT
ejpam-6267	573	13	and	and	CCONJ
ejpam-6267	573	14	q	q	PROPN
ejpam-6267	573	15	indicate	indicate	VERB
ejpam-6267	573	16	that	that	SCONJ
ejpam-6267	573	17	the	the	DET
ejpam-6267	573	18	ann	ann	PROPN
ejpam-6267	573	19	effectively	effectively	ADV
ejpam-6267	573	20	replicates	replicate	VERB
ejpam-6267	573	21	the	the	DET
ejpam-6267	573	22	system	system	NOUN
ejpam-6267	573	23	dynamics	dynamic	NOUN
ejpam-6267	573	24	as	as	SCONJ
ejpam-6267	573	25	captured	capture	VERB
ejpam-6267	573	26	by	by	ADP
ejpam-6267	573	27	the	the	DET
ejpam-6267	573	28	tn	tn	PROPN
ejpam-6267	573	29	g	g	PROPN
ejpam-6267	573	30	-	-	PUNCT
ejpam-6267	573	31	adm	adm	NOUN
ejpam-6267	573	32	method	method	NOUN
ejpam-6267	573	33	.	.	PUNCT
ejpam-6267	574	1	the	the	DET
ejpam-6267	574	2	near	near	ADV
ejpam-6267	574	3	-	-	PUNCT
ejpam-6267	574	4	perfect	perfect	ADJ
ejpam-6267	574	5	alignment	alignment	NOUN
ejpam-6267	574	6	between	between	ADP
ejpam-6267	574	7	the	the	DET
ejpam-6267	574	8	solid	solid	ADJ
ejpam-6267	574	9	curves	curve	NOUN
ejpam-6267	574	10	(	(	PUNCT
ejpam-6267	574	11	representing	represent	VERB
ejpam-6267	574	12	tn	tn	NOUN
ejpam-6267	574	13	g	g	PROPN
ejpam-6267	574	14	-	-	PUNCT
ejpam-6267	574	15	adm	adm	NOUN
ejpam-6267	574	16	solutions	solution	NOUN
ejpam-6267	574	17	)	)	PUNCT
ejpam-6267	574	18	and	and	CCONJ
ejpam-6267	574	19	the	the	DET
ejpam-6267	574	20	dashed	dash	VERB
ejpam-6267	574	21	curves	curve	NOUN
ejpam-6267	574	22	(	(	PUNCT
ejpam-6267	574	23	ann	ann	PROPN
ejpam-6267	574	24	predictions	prediction	NOUN
ejpam-6267	574	25	)	)	PUNCT
ejpam-6267	574	26	throughout	throughout	ADP
ejpam-6267	574	27	the	the	DET
ejpam-6267	574	28	time	time	NOUN
ejpam-6267	574	29	domain	domain	NOUN
ejpam-6267	574	30	demonstrates	demonstrate	VERB
ejpam-6267	574	31	the	the	DET
ejpam-6267	574	32	anns	anns	ADJ
ejpam-6267	574	33	high	high	ADJ
ejpam-6267	574	34	approximation	approximation	NOUN
ejpam-6267	574	35	accuracy	accuracy	NOUN
ejpam-6267	574	36	.	.	PUNCT
ejpam-6267	575	1	this	this	DET
ejpam-6267	575	2	strong	strong	ADJ
ejpam-6267	575	3	agreement	agreement	NOUN
ejpam-6267	575	4	underscores	underscore	VERB
ejpam-6267	575	5	the	the	DET
ejpam-6267	575	6	anns	anns	ADJ
ejpam-6267	575	7	potential	potential	NOUN
ejpam-6267	575	8	to	to	PART
ejpam-6267	575	9	serve	serve	VERB
ejpam-6267	575	10	as	as	ADP
ejpam-6267	575	11	a	a	DET
ejpam-6267	575	12	fast	fast	ADJ
ejpam-6267	575	13	and	and	CCONJ
ejpam-6267	575	14	reliable	reliable	ADJ
ejpam-6267	575	15	surrogate	surrogate	ADJ
ejpam-6267	575	16	model	model	NOUN
ejpam-6267	575	17	,	,	PUNCT
ejpam-6267	575	18	provided	provide	VERB
ejpam-6267	575	19	it	it	PRON
ejpam-6267	575	20	is	be	AUX
ejpam-6267	575	21	properly	properly	ADV
ejpam-6267	575	22	trained	train	VERB
ejpam-6267	575	23	.	.	PUNCT
ejpam-6267	576	1	7	7	X
ejpam-6267	576	2	.	.	X
ejpam-6267	576	3	conclusion	conclusion	NOUN
ejpam-6267	576	4	this	this	DET
ejpam-6267	576	5	study	study	NOUN
ejpam-6267	576	6	proposed	propose	VERB
ejpam-6267	576	7	an	an	DET
ejpam-6267	576	8	efficient	efficient	ADJ
ejpam-6267	576	9	and	and	CCONJ
ejpam-6267	576	10	accurate	accurate	ADJ
ejpam-6267	576	11	hybrid	hybrid	ADJ
ejpam-6267	576	12	framework	framework	NOUN
ejpam-6267	576	13	,	,	PUNCT
ejpam-6267	576	14	the	the	DET
ejpam-6267	576	15	tn	tn	PROPN
ejpam-6267	576	16	g	g	PROPN
ejpam-6267	576	17	-	-	PUNCT
ejpam-6267	576	18	adm	adm	PROPN
ejpam-6267	576	19	–	–	PUNCT
ejpam-6267	576	20	ann	ann	PROPN
ejpam-6267	576	21	scheme	scheme	NOUN
ejpam-6267	576	22	,	,	PUNCT
ejpam-6267	576	23	for	for	ADP
ejpam-6267	576	24	analyzing	analyze	VERB
ejpam-6267	576	25	a	a	DET
ejpam-6267	576	26	fractional	fractional	ADJ
ejpam-6267	576	27	-	-	PUNCT
ejpam-6267	576	28	order	order	NOUN
ejpam-6267	576	29	smoking	smoking	NOUN
ejpam-6267	576	30	epidemic	epidemic	NOUN
ejpam-6267	576	31	model	model	NOUN
ejpam-6267	576	32	formulated	formulate	VERB
ejpam-6267	576	33	with	with	ADP
ejpam-6267	576	34	the	the	DET
ejpam-6267	576	35	caputo	caputo	PROPN
ejpam-6267	576	36	fractional	fractional	PROPN
ejpam-6267	576	37	derivative	derivative	PROPN
ejpam-6267	576	38	.	.	PUNCT
ejpam-6267	577	1	the	the	DET
ejpam-6267	577	2	model	model	NOUN
ejpam-6267	577	3	captures	capture	VERB
ejpam-6267	577	4	the	the	DET
ejpam-6267	577	5	intrinsic	intrinsic	ADJ
ejpam-6267	577	6	memory	memory	NOUN
ejpam-6267	577	7	effects	effect	NOUN
ejpam-6267	577	8	and	and	CCONJ
ejpam-6267	577	9	hereditary	hereditary	ADJ
ejpam-6267	577	10	properties	property	NOUN
ejpam-6267	577	11	of	of	ADP
ejpam-6267	577	12	smoking	smoking	NOUN
ejpam-6267	577	13	dynamics	dynamic	NOUN
ejpam-6267	577	14	,	,	PUNCT
ejpam-6267	577	15	which	which	PRON
ejpam-6267	577	16	are	be	AUX
ejpam-6267	577	17	often	often	ADV
ejpam-6267	577	18	neglected	neglect	VERB
ejpam-6267	577	19	in	in	ADP
ejpam-6267	577	20	classical	classical	ADJ
ejpam-6267	577	21	integer	integer	NOUN
ejpam-6267	577	22	-	-	PUNCT
ejpam-6267	577	23	order	order	NOUN
ejpam-6267	577	24	models	model	NOUN
ejpam-6267	577	25	.	.	PUNCT
ejpam-6267	578	1	by	by	ADP
ejpam-6267	578	2	integrating	integrate	VERB
ejpam-6267	578	3	the	the	DET
ejpam-6267	578	4	newly	newly	ADV
ejpam-6267	578	5	developed	develop	VERB
ejpam-6267	578	6	tn	tn	NOUN
ejpam-6267	578	7	g	g	NOUN
ejpam-6267	578	8	integral	integral	ADJ
ejpam-6267	578	9	transform	transform	NOUN
ejpam-6267	578	10	with	with	ADP
ejpam-6267	578	11	the	the	DET
ejpam-6267	578	12	adomian	adomian	NOUN
ejpam-6267	578	13	decomposition	decomposition	NOUN
ejpam-6267	578	14	method	method	NOUN
ejpam-6267	578	15	(	(	PUNCT
ejpam-6267	578	16	adm	adm	PROPN
ejpam-6267	578	17	)	)	PUNCT
ejpam-6267	578	18	and	and	CCONJ
ejpam-6267	578	19	artificial	artificial	ADJ
ejpam-6267	578	20	neural	neural	ADJ
ejpam-6267	578	21	networks	network	NOUN
ejpam-6267	578	22	(	(	PUNCT
ejpam-6267	578	23	ann	ann	PROPN
ejpam-6267	578	24	)	)	PUNCT
ejpam-6267	578	25	,	,	PUNCT
ejpam-6267	578	26	the	the	DET
ejpam-6267	578	27	approach	approach	NOUN
ejpam-6267	578	28	provides	provide	VERB
ejpam-6267	578	29	rapidly	rapidly	ADV
ejpam-6267	578	30	convergent	convergent	ADJ
ejpam-6267	578	31	analytical	analytical	ADJ
ejpam-6267	578	32	–	–	PUNCT
ejpam-6267	578	33	numerical	numerical	ADJ
ejpam-6267	578	34	solutions	solution	NOUN
ejpam-6267	578	35	with	with	ADP
ejpam-6267	578	36	low	low	ADJ
ejpam-6267	578	37	computational	computational	ADJ
ejpam-6267	578	38	complexity	complexity	NOUN
ejpam-6267	578	39	.	.	PUNCT
ejpam-6267	579	1	the	the	DET
ejpam-6267	579	2	obtained	obtain	VERB
ejpam-6267	579	3	numerical	numerical	ADJ
ejpam-6267	579	4	and	and	CCONJ
ejpam-6267	579	5	graphical	graphical	ADJ
ejpam-6267	579	6	results	result	NOUN
ejpam-6267	579	7	confirm	confirm	VERB
ejpam-6267	579	8	that	that	SCONJ
ejpam-6267	579	9	both	both	CCONJ
ejpam-6267	579	10	the	the	DET
ejpam-6267	579	11	fractional	fractional	ADJ
ejpam-6267	579	12	order	order	NOUN
ejpam-6267	579	13	and	and	CCONJ
ejpam-6267	579	14	the	the	DET
ejpam-6267	579	15	epidemiological	epidemiological	ADJ
ejpam-6267	579	16	parameters	parameter	NOUN
ejpam-6267	579	17	have	have	VERB
ejpam-6267	579	18	a	a	DET
ejpam-6267	579	19	substantial	substantial	ADJ
ejpam-6267	579	20	impact	impact	NOUN
ejpam-6267	579	21	on	on	ADP
ejpam-6267	579	22	the	the	DET
ejpam-6267	579	23	systems	system	NOUN
ejpam-6267	579	24	qualitative	qualitative	NOUN
ejpam-6267	579	25	behavior	behavior	NOUN
ejpam-6267	579	26	and	and	CCONJ
ejpam-6267	579	27	stability	stability	NOUN
ejpam-6267	579	28	.	.	PUNCT
ejpam-6267	580	1	these	these	DET
ejpam-6267	580	2	findings	finding	NOUN
ejpam-6267	580	3	highlight	highlight	VERB
ejpam-6267	580	4	the	the	DET
ejpam-6267	580	5	suitability	suitability	NOUN
ejpam-6267	580	6	of	of	ADP
ejpam-6267	580	7	fractional	fractional	ADJ
ejpam-6267	580	8	calculus	calculus	NOUN
ejpam-6267	580	9	in	in	ADP
ejpam-6267	580	10	modeling	model	VERB
ejpam-6267	580	11	real	real	ADJ
ejpam-6267	580	12	-	-	PUNCT
ejpam-6267	580	13	world	world	NOUN
ejpam-6267	580	14	processes	process	NOUN
ejpam-6267	580	15	that	that	PRON
ejpam-6267	580	16	depend	depend	VERB
ejpam-6267	580	17	on	on	ADP
ejpam-6267	580	18	historical	historical	ADJ
ejpam-6267	580	19	states	state	NOUN
ejpam-6267	580	20	,	,	PUNCT
ejpam-6267	580	21	particularly	particularly	ADV
ejpam-6267	580	22	those	those	PRON
ejpam-6267	580	23	involving	involve	VERB
ejpam-6267	580	24	r.	r.	PROPN
ejpam-6267	580	25	belgacem	belgacem	NOUN
ejpam-6267	580	26	et	et	PROPN
ejpam-6267	580	27	al	al	PROPN
ejpam-6267	580	28	.	.	PUNCT
ejpam-6267	580	29	/	/	SYM
ejpam-6267	580	30	eur	eur	PROPN
ejpam-6267	580	31	.	.	PUNCT
ejpam-6267	581	1	j.	j.	PROPN
ejpam-6267	581	2	pure	pure	PROPN
ejpam-6267	581	3	appl	appl	PROPN
ejpam-6267	581	4	.	.	PROPN
ejpam-6267	581	5	math	math	PROPN
ejpam-6267	581	6	,	,	PUNCT
ejpam-6267	581	7	18	18	NUM
ejpam-6267	581	8	(	(	PUNCT
ejpam-6267	581	9	4	4	NUM
ejpam-6267	581	10	)	)	PUNCT
ejpam-6267	581	11	(	(	PUNCT
ejpam-6267	581	12	2025	2025	NUM
ejpam-6267	581	13	)	)	PUNCT
ejpam-6267	581	14	,	,	PUNCT
ejpam-6267	581	15	6267	6267	NUM
ejpam-6267	581	16	24	24	NUM
ejpam-6267	581	17	of	of	ADP
ejpam-6267	581	18	26	26	NUM
ejpam-6267	581	19	behavioral	behavioral	ADJ
ejpam-6267	581	20	or	or	CCONJ
ejpam-6267	581	21	biological	biological	ADJ
ejpam-6267	581	22	memory	memory	NOUN
ejpam-6267	581	23	such	such	ADJ
ejpam-6267	581	24	as	as	ADP
ejpam-6267	581	25	smoking	smoking	NOUN
ejpam-6267	581	26	spread	spread	NOUN
ejpam-6267	581	27	,	,	PUNCT
ejpam-6267	581	28	addiction	addiction	NOUN
ejpam-6267	581	29	persistence	persistence	NOUN
ejpam-6267	581	30	,	,	PUNCT
ejpam-6267	581	31	or	or	CCONJ
ejpam-6267	581	32	cessation	cessation	NOUN
ejpam-6267	581	33	dynamics	dynamic	NOUN
ejpam-6267	581	34	.	.	PUNCT
ejpam-6267	582	1	the	the	DET
ejpam-6267	582	2	incorporation	incorporation	NOUN
ejpam-6267	582	3	of	of	ADP
ejpam-6267	582	4	ann	ann	PROPN
ejpam-6267	582	5	into	into	ADP
ejpam-6267	582	6	the	the	DET
ejpam-6267	582	7	adm	adm	PROPN
ejpam-6267	582	8	–	–	PUNCT
ejpam-6267	582	9	transform	transform	NOUN
ejpam-6267	582	10	framework	framework	NOUN
ejpam-6267	582	11	significantly	significantly	ADV
ejpam-6267	582	12	improves	improve	VERB
ejpam-6267	582	13	convergence	convergence	NOUN
ejpam-6267	582	14	speed	speed	NOUN
ejpam-6267	582	15	and	and	CCONJ
ejpam-6267	582	16	approximation	approximation	NOUN
ejpam-6267	582	17	accuracy	accuracy	NOUN
ejpam-6267	582	18	by	by	ADP
ejpam-6267	582	19	leveraging	leverage	VERB
ejpam-6267	582	20	data	data	NOUN
ejpam-6267	582	21	-	-	PUNCT
ejpam-6267	582	22	driven	drive	VERB
ejpam-6267	582	23	learning	learning	NOUN
ejpam-6267	582	24	capabilities	capability	NOUN
ejpam-6267	582	25	.	.	PUNCT
ejpam-6267	583	1	this	this	DET
ejpam-6267	583	2	hybridization	hybridization	NOUN
ejpam-6267	583	3	demonstrates	demonstrate	VERB
ejpam-6267	583	4	a	a	DET
ejpam-6267	583	5	powerful	powerful	ADJ
ejpam-6267	583	6	synergy	synergy	NOUN
ejpam-6267	583	7	between	between	ADP
ejpam-6267	583	8	analytical	analytical	ADJ
ejpam-6267	583	9	decomposition	decomposition	NOUN
ejpam-6267	583	10	and	and	CCONJ
ejpam-6267	583	11	machine	machine	NOUN
ejpam-6267	583	12	learning	learning	NOUN
ejpam-6267	583	13	,	,	PUNCT
ejpam-6267	583	14	offering	offer	VERB
ejpam-6267	583	15	a	a	DET
ejpam-6267	583	16	generalizable	generalizable	ADJ
ejpam-6267	583	17	strategy	strategy	NOUN
ejpam-6267	583	18	for	for	ADP
ejpam-6267	583	19	nonlinear	nonlinear	ADJ
ejpam-6267	583	20	fractional	fractional	ADJ
ejpam-6267	583	21	differential	differential	NOUN
ejpam-6267	583	22	systems	system	NOUN
ejpam-6267	583	23	.	.	PUNCT
ejpam-6267	584	1	overall	overall	ADV
ejpam-6267	584	2	,	,	PUNCT
ejpam-6267	584	3	the	the	DET
ejpam-6267	584	4	tn	tn	PROPN
ejpam-6267	584	5	g	g	PROPN
ejpam-6267	584	6	-	-	PUNCT
ejpam-6267	584	7	adm	adm	PROPN
ejpam-6267	584	8	–	–	PUNCT
ejpam-6267	584	9	ann	ann	NOUN
ejpam-6267	584	10	framework	framework	NOUN
ejpam-6267	584	11	represents	represent	VERB
ejpam-6267	584	12	a	a	DET
ejpam-6267	584	13	reliable	reliable	ADJ
ejpam-6267	584	14	and	and	CCONJ
ejpam-6267	584	15	flexible	flexible	ADJ
ejpam-6267	584	16	tool	tool	NOUN
ejpam-6267	584	17	for	for	ADP
ejpam-6267	584	18	solving	solve	VERB
ejpam-6267	584	19	nonlinear	nonlinear	ADJ
ejpam-6267	584	20	fractional	fractional	ADJ
ejpam-6267	584	21	models	model	NOUN
ejpam-6267	584	22	across	across	ADP
ejpam-6267	584	23	various	various	ADJ
ejpam-6267	584	24	scientific	scientific	ADJ
ejpam-6267	584	25	and	and	CCONJ
ejpam-6267	584	26	engineering	engineering	NOUN
ejpam-6267	584	27	domains	domain	NOUN
ejpam-6267	584	28	.	.	PUNCT
ejpam-6267	585	1	future	future	ADJ
ejpam-6267	585	2	research	research	NOUN
ejpam-6267	585	3	may	may	AUX
ejpam-6267	585	4	focus	focus	VERB
ejpam-6267	585	5	on	on	ADP
ejpam-6267	585	6	extending	extend	VERB
ejpam-6267	585	7	this	this	DET
ejpam-6267	585	8	methodology	methodology	NOUN
ejpam-6267	585	9	to	to	PART
ejpam-6267	585	10	stochastic	stochastic	ADJ
ejpam-6267	585	11	or	or	CCONJ
ejpam-6267	585	12	time	time	NOUN
ejpam-6267	585	13	-	-	PUNCT
ejpam-6267	585	14	delayed	delay	VERB
ejpam-6267	585	15	systems	system	NOUN
ejpam-6267	585	16	,	,	PUNCT
ejpam-6267	585	17	exploring	explore	VERB
ejpam-6267	585	18	alternative	alternative	ADJ
ejpam-6267	585	19	fractional	fractional	ADJ
ejpam-6267	585	20	operators	operator	NOUN
ejpam-6267	585	21	such	such	ADJ
ejpam-6267	585	22	as	as	ADP
ejpam-6267	585	23	atangana	atangana	PROPN
ejpam-6267	585	24	–	–	PUNCT
ejpam-6267	585	25	baleanu	baleanu	NOUN
ejpam-6267	585	26	or	or	CCONJ
ejpam-6267	585	27	prabhakar	prabhakar	NOUN
ejpam-6267	585	28	types	type	NOUN
ejpam-6267	585	29	,	,	PUNCT
ejpam-6267	585	30	and	and	CCONJ
ejpam-6267	585	31	developing	develop	VERB
ejpam-6267	585	32	high	high	ADJ
ejpam-6267	585	33	-	-	PUNCT
ejpam-6267	585	34	performance	performance	NOUN
ejpam-6267	585	35	or	or	CCONJ
ejpam-6267	585	36	deep	deep	ADJ
ejpam-6267	585	37	-	-	PUNCT
ejpam-6267	585	38	learning	learning	NOUN
ejpam-6267	585	39	-	-	PUNCT
ejpam-6267	585	40	based	base	VERB
ejpam-6267	585	41	implementations	implementation	NOUN
ejpam-6267	585	42	to	to	PART
ejpam-6267	585	43	address	address	VERB
ejpam-6267	585	44	largescale	largescale	NOUN
ejpam-6267	585	45	and	and	CCONJ
ejpam-6267	585	46	multidimensional	multidimensional	ADJ
ejpam-6267	585	47	fractional	fractional	ADJ
ejpam-6267	585	48	models	model	NOUN
ejpam-6267	585	49	.	.	PUNCT
ejpam-6267	586	1	these	these	DET
ejpam-6267	586	2	extensions	extension	NOUN
ejpam-6267	586	3	would	would	AUX
ejpam-6267	586	4	further	far	ADV
ejpam-6267	586	5	consolidate	consolidate	VERB
ejpam-6267	586	6	the	the	DET
ejpam-6267	586	7	relevance	relevance	NOUN
ejpam-6267	586	8	and	and	CCONJ
ejpam-6267	586	9	applicability	applicability	NOUN
ejpam-6267	586	10	of	of	ADP
ejpam-6267	586	11	the	the	DET
ejpam-6267	586	12	proposed	propose	VERB
ejpam-6267	586	13	approach	approach	NOUN
ejpam-6267	586	14	in	in	ADP
ejpam-6267	586	15	complex	complex	ADJ
ejpam-6267	586	16	epidemiological	epidemiological	ADJ
ejpam-6267	586	17	and	and	CCONJ
ejpam-6267	586	18	dynamical	dynamical	ADJ
ejpam-6267	586	19	systems	system	NOUN
ejpam-6267	586	20	.	.	PUNCT
ejpam-6267	587	1	references	reference	NOUN
ejpam-6267	587	2	[	[	X
ejpam-6267	587	3	1	1	NUM
ejpam-6267	587	4	]	]	X
ejpam-6267	587	5	r.	r.	PROPN
ejpam-6267	587	6	selvaraj	selvaraj	PROPN
ejpam-6267	587	7	,	,	PUNCT
ejpam-6267	587	8	a.	a.	PROPN
ejpam-6267	587	9	kumar	kumar	PROPN
ejpam-6267	587	10	,	,	PUNCT
ejpam-6267	587	11	and	and	CCONJ
ejpam-6267	587	12	p.	p.	PROPN
ejpam-6267	587	13	prakash	prakash	PROPN
ejpam-6267	587	14	.	.	PUNCT
ejpam-6267	588	1	recent	recent	ADJ
ejpam-6267	588	2	advancements	advancement	NOUN
ejpam-6267	588	3	in	in	ADP
ejpam-6267	588	4	integral	integral	ADJ
ejpam-6267	588	5	transforms	transform	NOUN
ejpam-6267	588	6	for	for	ADP
ejpam-6267	588	7	solving	solve	VERB
ejpam-6267	588	8	partial	partial	ADJ
ejpam-6267	588	9	differential	differential	ADJ
ejpam-6267	588	10	equations	equation	NOUN
ejpam-6267	588	11	.	.	PUNCT
ejpam-6267	589	1	applied	apply	VERB
ejpam-6267	589	2	mathematics	mathematic	NOUN
ejpam-6267	589	3	and	and	CCONJ
ejpam-6267	589	4	computation	computation	NOUN
ejpam-6267	589	5	,	,	PUNCT
ejpam-6267	589	6	459:128312	459:128312	NUM
ejpam-6267	589	7	,	,	PUNCT
ejpam-6267	589	8	2025	2025	NUM
ejpam-6267	589	9	.	.	PUNCT
ejpam-6267	590	1	[	[	X
ejpam-6267	590	2	2	2	NUM
ejpam-6267	590	3	]	]	X
ejpam-6267	590	4	y.	y.	PROPN
ejpam-6267	590	5	feng	feng	PROPN
ejpam-6267	590	6	,	,	PUNCT
ejpam-6267	590	7	z.	z.	PROPN
ejpam-6267	590	8	li	li	PROPN
ejpam-6267	590	9	,	,	PUNCT
ejpam-6267	590	10	and	and	CCONJ
ejpam-6267	590	11	h.	h.	PROPN
ejpam-6267	590	12	zhang	zhang	PROPN
ejpam-6267	590	13	.	.	PUNCT
ejpam-6267	591	1	hybrid	hybrid	ADJ
ejpam-6267	591	2	approaches	approach	NOUN
ejpam-6267	591	3	combining	combine	VERB
ejpam-6267	591	4	integral	integral	ADJ
ejpam-6267	591	5	transforms	transform	NOUN
ejpam-6267	591	6	and	and	CCONJ
ejpam-6267	591	7	decomposition	decomposition	NOUN
ejpam-6267	591	8	methods	method	NOUN
ejpam-6267	591	9	for	for	ADP
ejpam-6267	591	10	nonlinear	nonlinear	ADJ
ejpam-6267	591	11	differential	differential	ADJ
ejpam-6267	591	12	equations	equation	NOUN
ejpam-6267	591	13	.	.	PUNCT
ejpam-6267	592	1	journal	journal	NOUN
ejpam-6267	592	2	of	of	ADP
ejpam-6267	592	3	computational	computational	ADJ
ejpam-6267	592	4	and	and	CCONJ
ejpam-6267	592	5	applied	applied	ADJ
ejpam-6267	592	6	mathematics	mathematic	NOUN
ejpam-6267	592	7	,	,	PUNCT
ejpam-6267	592	8	439:115623	439:115623	NUM
ejpam-6267	592	9	,	,	PUNCT
ejpam-6267	592	10	2025	2025	NUM
ejpam-6267	592	11	.	.	PUNCT
ejpam-6267	593	1	[	[	X
ejpam-6267	593	2	3	3	X
ejpam-6267	593	3	]	]	X
ejpam-6267	593	4	g.	g.	NOUN
ejpam-6267	593	5	adomian	adomian	PROPN
ejpam-6267	593	6	.	.	PUNCT
ejpam-6267	594	1	solving	solve	VERB
ejpam-6267	594	2	frontier	frontier	NOUN
ejpam-6267	594	3	problems	problem	NOUN
ejpam-6267	594	4	of	of	ADP
ejpam-6267	594	5	physics	physics	NOUN
ejpam-6267	594	6	:	:	PUNCT
ejpam-6267	594	7	the	the	DET
ejpam-6267	594	8	decomposition	decomposition	NOUN
ejpam-6267	594	9	method	method	NOUN
ejpam-6267	594	10	.	.	PUNCT
ejpam-6267	595	1	kluwer	kluwer	NOUN
ejpam-6267	595	2	academic	academic	ADJ
ejpam-6267	595	3	publishers	publisher	NOUN
ejpam-6267	595	4	,	,	PUNCT
ejpam-6267	595	5	boston	boston	PROPN
ejpam-6267	595	6	,	,	PUNCT
ejpam-6267	595	7	1994	1994	NUM
ejpam-6267	595	8	.	.	PUNCT
ejpam-6267	596	1	[	[	X
ejpam-6267	596	2	4	4	NUM
ejpam-6267	596	3	]	]	X
ejpam-6267	596	4	m.	m.	NOUN
ejpam-6267	596	5	alhazmi	alhazmi	PROPN
ejpam-6267	596	6	,	,	PUNCT
ejpam-6267	596	7	a.f	a.f	PROPN
ejpam-6267	596	8	.	.	PROPN
ejpam-6267	596	9	aljohani	aljohani	PROPN
ejpam-6267	596	10	,	,	PUNCT
ejpam-6267	596	11	n.e	n.e	PROPN
ejpam-6267	596	12	.	.	PROPN
ejpam-6267	596	13	taha	taha	PROPN
ejpam-6267	596	14	,	,	PUNCT
ejpam-6267	596	15	s.	s.	PROPN
ejpam-6267	596	16	abdel	abdel	PROPN
ejpam-6267	596	17	-	-	PUNCT
ejpam-6267	596	18	khalek	khalek	PROPN
ejpam-6267	596	19	,	,	PUNCT
ejpam-6267	596	20	m.	m.	PROPN
ejpam-6267	596	21	bayram	bayram	PROPN
ejpam-6267	596	22	,	,	PUNCT
ejpam-6267	596	23	and	and	CCONJ
ejpam-6267	596	24	s.	s.	PROPN
ejpam-6267	596	25	saber	saber	PROPN
ejpam-6267	596	26	.	.	PUNCT
ejpam-6267	597	1	application	application	NOUN
ejpam-6267	597	2	of	of	ADP
ejpam-6267	597	3	a	a	DET
ejpam-6267	597	4	fractal	fractal	ADJ
ejpam-6267	597	5	fractional	fractional	ADJ
ejpam-6267	597	6	operator	operator	NOUN
ejpam-6267	597	7	to	to	PART
ejpam-6267	597	8	nonlinear	nonlinear	VERB
ejpam-6267	597	9	glucose	glucose	NOUN
ejpam-6267	597	10	-	-	PUNCT
ejpam-6267	597	11	insulin	insulin	NOUN
ejpam-6267	597	12	systems	system	NOUN
ejpam-6267	597	13	:	:	PUNCT
ejpam-6267	597	14	adomian	adomian	NOUN
ejpam-6267	597	15	decomposition	decomposition	NOUN
ejpam-6267	597	16	solutions	solution	NOUN
ejpam-6267	597	17	.	.	PUNCT
ejpam-6267	598	1	comput	comput	NOUN
ejpam-6267	598	2	.	.	PUNCT
ejpam-6267	599	1	biol	biol	PROPN
ejpam-6267	599	2	.	.	PUNCT
ejpam-6267	600	1	med	med	PROPN
ejpam-6267	600	2	.	.	PROPN
ejpam-6267	600	3	,	,	PUNCT
ejpam-6267	600	4	196(pt	196(pt	NUM
ejpam-6267	600	5	a):110453	a):110453	PROPN
ejpam-6267	600	6	,	,	PUNCT
ejpam-6267	600	7	sep	sep	PROPN
ejpam-6267	600	8	2025	2025	NUM
ejpam-6267	600	9	.	.	PUNCT
ejpam-6267	601	1	[	[	X
ejpam-6267	601	2	5	5	NUM
ejpam-6267	601	3	]	]	X
ejpam-6267	601	4	g.k	g.k	PROPN
ejpam-6267	601	5	.	.	PROPN
ejpam-6267	601	6	watugala	watugala	PROPN
ejpam-6267	601	7	.	.	PUNCT
ejpam-6267	602	1	sumudu	sumudu	NOUN
ejpam-6267	602	2	transform	transform	NOUN
ejpam-6267	602	3	:	:	PUNCT
ejpam-6267	602	4	a	a	DET
ejpam-6267	602	5	new	new	ADJ
ejpam-6267	602	6	integral	integral	ADJ
ejpam-6267	602	7	transform	transform	NOUN
ejpam-6267	602	8	to	to	PART
ejpam-6267	602	9	solve	solve	VERB
ejpam-6267	602	10	differential	differential	ADJ
ejpam-6267	602	11	equations	equation	NOUN
ejpam-6267	602	12	and	and	CCONJ
ejpam-6267	602	13	control	control	NOUN
ejpam-6267	602	14	engineering	engineering	NOUN
ejpam-6267	602	15	problems	problem	NOUN
ejpam-6267	602	16	.	.	PUNCT
ejpam-6267	603	1	int	int	NOUN
ejpam-6267	603	2	.	.	PUNCT
ejpam-6267	604	1	j.	j.	PROPN
ejpam-6267	604	2	math	math	PROPN
ejpam-6267	604	3	.	.	PUNCT
ejpam-6267	605	1	educ	educ	PROPN
ejpam-6267	605	2	.	.	PUNCT
ejpam-6267	606	1	sci	sci	PROPN
ejpam-6267	606	2	.	.	PROPN
ejpam-6267	606	3	technol	technol	PROPN
ejpam-6267	606	4	.	.	PROPN
ejpam-6267	606	5	,	,	PUNCT
ejpam-6267	606	6	24:35–43	24:35–43	PROPN
ejpam-6267	606	7	,	,	PUNCT
ejpam-6267	606	8	1993	1993	NUM
ejpam-6267	606	9	.	.	PUNCT
ejpam-6267	607	1	[	[	X
ejpam-6267	607	2	6	6	NUM
ejpam-6267	607	3	]	]	X
ejpam-6267	607	4	t.m	t.m	PROPN
ejpam-6267	607	5	.	.	PROPN
ejpam-6267	607	6	elzaki	elzaki	PROPN
ejpam-6267	607	7	.	.	PUNCT
ejpam-6267	608	1	the	the	DET
ejpam-6267	608	2	new	new	ADJ
ejpam-6267	608	3	integral	integral	ADJ
ejpam-6267	608	4	transform	transform	NOUN
ejpam-6267	608	5	’	'	PUNCT
ejpam-6267	608	6	elzaki	elzaki	NOUN
ejpam-6267	608	7	transform	transform	NOUN
ejpam-6267	608	8	’	'	PUNCT
ejpam-6267	608	9	.	.	PUNCT
ejpam-6267	609	1	glob	glob	PROPN
ejpam-6267	609	2	.	.	PUNCT
ejpam-6267	610	1	j.	j.	PROPN
ejpam-6267	610	2	pure	pure	PROPN
ejpam-6267	610	3	appl	appl	PROPN
ejpam-6267	610	4	.	.	PUNCT
ejpam-6267	610	5	math	math	PROPN
ejpam-6267	610	6	.	.	PUNCT
ejpam-6267	610	7	,	,	PUNCT
ejpam-6267	610	8	7:57–64	7:57–64	PROPN
ejpam-6267	610	9	,	,	PUNCT
ejpam-6267	610	10	2011	2011	NUM
ejpam-6267	610	11	.	.	PUNCT
ejpam-6267	611	1	[	[	X
ejpam-6267	611	2	7	7	X
ejpam-6267	611	3	]	]	X
ejpam-6267	611	4	m.	m.	NOUN
ejpam-6267	611	5	khan	khan	PROPN
ejpam-6267	611	6	,	,	PUNCT
ejpam-6267	611	7	t.	t.	PROPN
ejpam-6267	611	8	salahuddin	salahuddin	PROPN
ejpam-6267	611	9	,	,	PUNCT
ejpam-6267	611	10	m.y	m.y	PROPN
ejpam-6267	611	11	.	.	PROPN
ejpam-6267	611	12	malik	malik	PROPN
ejpam-6267	611	13	,	,	PUNCT
ejpam-6267	611	14	m.s	m.s	PROPN
ejpam-6267	611	15	.	.	PROPN
ejpam-6267	611	16	alqarni	alqarni	PROPN
ejpam-6267	611	17	,	,	PUNCT
ejpam-6267	611	18	and	and	CCONJ
ejpam-6267	611	19	a.m.	a.m.	PROPN
ejpam-6267	611	20	alkahtani	alkahtani	PROPN
ejpam-6267	611	21	.	.	PUNCT
ejpam-6267	612	1	numerical	numerical	PROPN
ejpam-6267	612	2	modeling	modeling	NOUN
ejpam-6267	612	3	and	and	CCONJ
ejpam-6267	612	4	analysis	analysis	NOUN
ejpam-6267	612	5	of	of	ADP
ejpam-6267	612	6	bioconvection	bioconvection	NOUN
ejpam-6267	612	7	on	on	ADP
ejpam-6267	612	8	mhd	mhd	NOUN
ejpam-6267	612	9	flow	flow	NOUN
ejpam-6267	612	10	due	due	ADP
ejpam-6267	612	11	to	to	ADP
ejpam-6267	612	12	an	an	DET
ejpam-6267	612	13	upper	upper	ADJ
ejpam-6267	612	14	paraboloid	paraboloid	ADJ
ejpam-6267	612	15	surface	surface	NOUN
ejpam-6267	612	16	of	of	ADP
ejpam-6267	612	17	revolution	revolution	NOUN
ejpam-6267	612	18	.	.	PUNCT
ejpam-6267	613	1	physica	physica	PROPN
ejpam-6267	613	2	a	a	DET
ejpam-6267	613	3	,	,	PUNCT
ejpam-6267	613	4	553:124231	553:124231	PROPN
ejpam-6267	613	5	,	,	PUNCT
ejpam-6267	613	6	2020	2020	NUM
ejpam-6267	613	7	.	.	PUNCT
ejpam-6267	614	1	[	[	X
ejpam-6267	614	2	8	8	NUM
ejpam-6267	614	3	]	]	X
ejpam-6267	614	4	k.s	k.s	PROPN
ejpam-6267	614	5	.	.	PROPN
ejpam-6267	614	6	aboodh	aboodh	PROPN
ejpam-6267	614	7	.	.	PUNCT
ejpam-6267	615	1	the	the	DET
ejpam-6267	615	2	new	new	ADJ
ejpam-6267	615	3	integral	integral	ADJ
ejpam-6267	615	4	transform	transform	NOUN
ejpam-6267	615	5	.	.	PUNCT
ejpam-6267	616	1	global	global	ADJ
ejpam-6267	616	2	j.	j.	PROPN
ejpam-6267	616	3	pure	pure	PROPN
ejpam-6267	616	4	appl	appl	PROPN
ejpam-6267	616	5	.	.	PUNCT
ejpam-6267	616	6	math	math	PROPN
ejpam-6267	616	7	.	.	PUNCT
ejpam-6267	616	8	,	,	PUNCT
ejpam-6267	616	9	9(1):35–43	9(1):35–43	NUM
ejpam-6267	616	10	,	,	PUNCT
ejpam-6267	616	11	2013	2013	NUM
ejpam-6267	616	12	.	.	PUNCT
ejpam-6267	617	1	[	[	X
ejpam-6267	617	2	9	9	NUM
ejpam-6267	617	3	]	]	X
ejpam-6267	617	4	m.m	m.m	PROPN
ejpam-6267	617	5	.	.	PROPN
ejpam-6267	617	6	abdelrahim	abdelrahim	PROPN
ejpam-6267	617	7	mahgoub	mahgoub	NOUN
ejpam-6267	617	8	.	.	PUNCT
ejpam-6267	618	1	the	the	DET
ejpam-6267	618	2	new	new	ADJ
ejpam-6267	618	3	integral	integral	ADJ
ejpam-6267	618	4	transform	transform	NOUN
ejpam-6267	618	5	mohand	mohand	NOUN
ejpam-6267	618	6	transform	transform	NOUN
ejpam-6267	618	7	.	.	PUNCT
ejpam-6267	619	1	adv	adv	PROPN
ejpam-6267	619	2	.	.	PUNCT
ejpam-6267	620	1	theoret	theoret	PROPN
ejpam-6267	620	2	.	.	PUNCT
ejpam-6267	621	1	appl	appl	PROPN
ejpam-6267	621	2	.	.	PROPN
ejpam-6267	621	3	math	math	PROPN
ejpam-6267	621	4	.	.	PUNCT
ejpam-6267	621	5	,	,	PUNCT
ejpam-6267	621	6	12(2):113–120	12(2):113–120	NUM
ejpam-6267	621	7	,	,	PUNCT
ejpam-6267	621	8	2017	2017	NUM
ejpam-6267	621	9	.	.	PUNCT
ejpam-6267	622	1	[	[	X
ejpam-6267	622	2	10	10	NUM
ejpam-6267	622	3	]	]	X
ejpam-6267	622	4	m.a	m.a	PROPN
ejpam-6267	622	5	.	.	PROPN
ejpam-6267	622	6	mahgoub	mahgoub	PROPN
ejpam-6267	622	7	and	and	CCONJ
ejpam-6267	622	8	m.	m.	NOUN
ejpam-6267	622	9	mohand	mohand	NOUN
ejpam-6267	622	10	.	.	PUNCT
ejpam-6267	623	1	the	the	DET
ejpam-6267	623	2	new	new	ADJ
ejpam-6267	623	3	integral	integral	ADJ
ejpam-6267	623	4	transform	transform	NOUN
ejpam-6267	623	5	“	"	PUNCT
ejpam-6267	623	6	sawi	sawi	ADJ
ejpam-6267	623	7	transform	transform	NOUN
ejpam-6267	623	8	”	"	PUNCT
ejpam-6267	623	9	.	.	PUNCT
ejpam-6267	624	1	adv	adv	PROPN
ejpam-6267	624	2	.	.	PUNCT
ejpam-6267	625	1	theoret	theoret	PROPN
ejpam-6267	625	2	.	.	PUNCT
ejpam-6267	626	1	appl	appl	PROPN
ejpam-6267	626	2	.	.	PROPN
ejpam-6267	626	3	math	math	PROPN
ejpam-6267	626	4	.	.	PUNCT
ejpam-6267	626	5	,	,	PUNCT
ejpam-6267	626	6	14(1):81–87	14(1):81–87	NUM
ejpam-6267	626	7	,	,	PUNCT
ejpam-6267	626	8	2019	2019	NUM
ejpam-6267	626	9	.	.	PUNCT
ejpam-6267	627	1	r.	r.	PROPN
ejpam-6267	627	2	belgacem	belgacem	PROPN
ejpam-6267	627	3	et	et	PROPN
ejpam-6267	627	4	al	al	PROPN
ejpam-6267	627	5	.	.	PUNCT
ejpam-6267	627	6	/	/	SYM
ejpam-6267	627	7	eur	eur	PROPN
ejpam-6267	627	8	.	.	PUNCT
ejpam-6267	628	1	j.	j.	PROPN
ejpam-6267	628	2	pure	pure	PROPN
ejpam-6267	628	3	appl	appl	PROPN
ejpam-6267	628	4	.	.	PROPN
ejpam-6267	628	5	math	math	PROPN
ejpam-6267	628	6	,	,	PUNCT
ejpam-6267	628	7	18	18	NUM
ejpam-6267	628	8	(	(	PUNCT
ejpam-6267	628	9	4	4	NUM
ejpam-6267	628	10	)	)	PUNCT
ejpam-6267	628	11	(	(	PUNCT
ejpam-6267	628	12	2025	2025	NUM
ejpam-6267	628	13	)	)	PUNCT
ejpam-6267	628	14	,	,	PUNCT
ejpam-6267	628	15	6267	6267	NUM
ejpam-6267	628	16	25	25	NUM
ejpam-6267	628	17	of	of	ADP
ejpam-6267	628	18	26	26	NUM
ejpam-6267	629	1	[	[	X
ejpam-6267	629	2	11	11	NUM
ejpam-6267	629	3	]	]	X
ejpam-6267	629	4	s.	s.	PROPN
ejpam-6267	629	5	maitama	maitama	PROPN
ejpam-6267	629	6	and	and	CCONJ
ejpam-6267	629	7	w.	w.	PROPN
ejpam-6267	629	8	zhao	zhao	PROPN
ejpam-6267	629	9	.	.	PUNCT
ejpam-6267	630	1	new	new	ADJ
ejpam-6267	630	2	integral	integral	ADJ
ejpam-6267	630	3	transform	transform	NOUN
ejpam-6267	630	4	:	:	PUNCT
ejpam-6267	630	5	shehu	shehu	NOUN
ejpam-6267	630	6	transforma	transforma	NOUN
ejpam-6267	630	7	generalization	generalization	NOUN
ejpam-6267	630	8	of	of	ADP
ejpam-6267	630	9	sumudu	sumudu	NOUN
ejpam-6267	630	10	and	and	CCONJ
ejpam-6267	630	11	laplace	laplace	NOUN
ejpam-6267	630	12	transform	transform	NOUN
ejpam-6267	630	13	for	for	ADP
ejpam-6267	630	14	solving	solve	VERB
ejpam-6267	630	15	differential	differential	ADJ
ejpam-6267	630	16	equations	equation	NOUN
ejpam-6267	630	17	.	.	PUNCT
ejpam-6267	631	1	int	int	NOUN
ejpam-6267	631	2	.	.	PUNCT
ejpam-6267	632	1	j.	j.	PROPN
ejpam-6267	632	2	anal	anal	PROPN
ejpam-6267	632	3	.	.	PUNCT
ejpam-6267	633	1	appl	appl	PROPN
ejpam-6267	633	2	.	.	PROPN
ejpam-6267	633	3	,	,	PUNCT
ejpam-6267	633	4	17(2):167–190	17(2):167–190	NUM
ejpam-6267	633	5	,	,	PUNCT
ejpam-6267	633	6	2019	2019	NUM
ejpam-6267	633	7	.	.	PUNCT
ejpam-6267	634	1	[	[	X
ejpam-6267	634	2	12	12	NUM
ejpam-6267	634	3	]	]	X
ejpam-6267	634	4	r.	r.	PROPN
ejpam-6267	634	5	belgacem	belgacem	PROPN
ejpam-6267	634	6	,	,	PUNCT
ejpam-6267	634	7	d.	d.	PROPN
ejpam-6267	634	8	baleanu	baleanu	PROPN
ejpam-6267	634	9	,	,	PUNCT
ejpam-6267	634	10	and	and	CCONJ
ejpam-6267	634	11	a.	a.	NOUN
ejpam-6267	634	12	bokhari	bokhari	PROPN
ejpam-6267	634	13	.	.	PUNCT
ejpam-6267	635	1	shehu	shehu	PROPN
ejpam-6267	635	2	transform	transform	VERB
ejpam-6267	635	3	and	and	CCONJ
ejpam-6267	635	4	applications	application	NOUN
ejpam-6267	635	5	to	to	ADP
ejpam-6267	635	6	caputo	caputo	PROPN
ejpam-6267	635	7	-	-	PUNCT
ejpam-6267	635	8	fractional	fractional	ADJ
ejpam-6267	635	9	differential	differential	ADJ
ejpam-6267	635	10	equations	equation	NOUN
ejpam-6267	635	11	.	.	PUNCT
ejpam-6267	636	1	int	int	NOUN
ejpam-6267	636	2	.	.	PUNCT
ejpam-6267	637	1	j.	j.	PROPN
ejpam-6267	637	2	anal	anal	PROPN
ejpam-6267	637	3	.	.	PUNCT
ejpam-6267	638	1	appl	appl	PROPN
ejpam-6267	638	2	.	.	PROPN
ejpam-6267	638	3	,	,	PUNCT
ejpam-6267	638	4	17:917–927	17:917–927	NUM
ejpam-6267	638	5	,	,	PUNCT
ejpam-6267	638	6	2019	2019	NUM
ejpam-6267	638	7	.	.	PUNCT
ejpam-6267	639	1	[	[	X
ejpam-6267	639	2	13	13	NUM
ejpam-6267	639	3	]	]	X
ejpam-6267	639	4	r.	r.	NOUN
ejpam-6267	639	5	belgacem	belgacem	PROPN
ejpam-6267	639	6	,	,	PUNCT
ejpam-6267	639	7	a.	a.	NOUN
ejpam-6267	639	8	bokhari	bokhari	PROPN
ejpam-6267	639	9	,	,	PUNCT
ejpam-6267	639	10	and	and	CCONJ
ejpam-6267	639	11	b.	b.	PROPN
ejpam-6267	639	12	sadaoui	sadaoui	PROPN
ejpam-6267	639	13	.	.	PUNCT
ejpam-6267	640	1	shehu	shehu	PROPN
ejpam-6267	640	2	transform	transform	NOUN
ejpam-6267	640	3	of	of	ADP
ejpam-6267	640	4	hilferprabhakar	hilferprabhakar	ADJ
ejpam-6267	640	5	fractional	fractional	ADJ
ejpam-6267	640	6	derivatives	derivative	NOUN
ejpam-6267	640	7	and	and	CCONJ
ejpam-6267	640	8	applications	application	NOUN
ejpam-6267	640	9	on	on	ADP
ejpam-6267	640	10	some	some	DET
ejpam-6267	640	11	cauchy	cauchy	ADJ
ejpam-6267	640	12	type	type	NOUN
ejpam-6267	640	13	problems	problem	NOUN
ejpam-6267	640	14	.	.	PUNCT
ejpam-6267	641	1	adv	adv	PROPN
ejpam-6267	641	2	.	.	PUNCT
ejpam-6267	641	3	theory	theory	PROPN
ejpam-6267	641	4	nonlinear	nonlinear	PROPN
ejpam-6267	641	5	anal	anal	PROPN
ejpam-6267	641	6	.	.	PUNCT
ejpam-6267	642	1	appl	appl	PROPN
ejpam-6267	642	2	.	.	PROPN
ejpam-6267	642	3	,	,	PUNCT
ejpam-6267	642	4	5(2):203–214	5(2):203–214	NOUN
ejpam-6267	642	5	,	,	PUNCT
ejpam-6267	642	6	2021	2021	NUM
ejpam-6267	642	7	.	.	PUNCT
ejpam-6267	643	1	[	[	X
ejpam-6267	643	2	14	14	NUM
ejpam-6267	643	3	]	]	X
ejpam-6267	643	4	a.	a.	NOUN
ejpam-6267	643	5	bokhari	bokhari	PROPN
ejpam-6267	643	6	,	,	PUNCT
ejpam-6267	643	7	d.	d.	PROPN
ejpam-6267	643	8	baleanu	baleanu	PROPN
ejpam-6267	643	9	,	,	PUNCT
ejpam-6267	643	10	and	and	CCONJ
ejpam-6267	643	11	r.	r.	PROPN
ejpam-6267	643	12	belgacem	belgacem	PROPN
ejpam-6267	643	13	.	.	PUNCT
ejpam-6267	644	1	application	application	NOUN
ejpam-6267	644	2	of	of	ADP
ejpam-6267	644	3	shehu	shehu	NOUN
ejpam-6267	644	4	transform	transform	VERB
ejpam-6267	644	5	to	to	AUX
ejpam-6267	644	6	atanganabaleanu	atanganabaleanu	VERB
ejpam-6267	644	7	derivatives	derivative	NOUN
ejpam-6267	644	8	.	.	PUNCT
ejpam-6267	645	1	j.	j.	PROPN
ejpam-6267	645	2	math	math	PROPN
ejpam-6267	645	3	.	.	PUNCT
ejpam-6267	646	1	comput	comput	NOUN
ejpam-6267	646	2	.	.	PUNCT
ejpam-6267	647	1	sci	sci	PROPN
ejpam-6267	647	2	.	.	PROPN
ejpam-6267	647	3	,	,	PUNCT
ejpam-6267	647	4	20(2):101–107	20(2):101–107	PROPN
ejpam-6267	647	5	,	,	PUNCT
ejpam-6267	647	6	2020	2020	NUM
ejpam-6267	647	7	.	.	PUNCT
ejpam-6267	648	1	[	[	X
ejpam-6267	648	2	15	15	NUM
ejpam-6267	648	3	]	]	X
ejpam-6267	648	4	h.	h.	PROPN
ejpam-6267	648	5	kamal	kamal	PROPN
ejpam-6267	648	6	and	and	CCONJ
ejpam-6267	648	7	a.	a.	NOUN
ejpam-6267	648	8	sedeeg	sedeeg	PROPN
ejpam-6267	648	9	.	.	PUNCT
ejpam-6267	649	1	the	the	DET
ejpam-6267	649	2	new	new	ADJ
ejpam-6267	649	3	integral	integral	ADJ
ejpam-6267	649	4	transform	transform	NOUN
ejpam-6267	649	5	kamal	kamal	PROPN
ejpam-6267	649	6	transform	transform	NOUN
ejpam-6267	649	7	.	.	PUNCT
ejpam-6267	650	1	adv	adv	PROPN
ejpam-6267	650	2	.	.	PUNCT
ejpam-6267	651	1	theoret	theoret	PROPN
ejpam-6267	651	2	.	.	PUNCT
ejpam-6267	652	1	appl	appl	PROPN
ejpam-6267	652	2	.	.	PROPN
ejpam-6267	652	3	math	math	PROPN
ejpam-6267	652	4	.	.	PUNCT
ejpam-6267	652	5	,	,	PUNCT
ejpam-6267	652	6	11(4):451–458	11(4):451–458	PROPN
ejpam-6267	652	7	,	,	PUNCT
ejpam-6267	652	8	2016	2016	NUM
ejpam-6267	652	9	.	.	PUNCT
ejpam-6267	653	1	[	[	X
ejpam-6267	653	2	16	16	NUM
ejpam-6267	653	3	]	]	X
ejpam-6267	653	4	h.	h.	PROPN
ejpam-6267	653	5	jafari	jafari	PROPN
ejpam-6267	653	6	.	.	PUNCT
ejpam-6267	654	1	a	a	DET
ejpam-6267	654	2	new	new	ADJ
ejpam-6267	654	3	general	general	ADJ
ejpam-6267	654	4	integral	integral	ADJ
ejpam-6267	654	5	transform	transform	NOUN
ejpam-6267	654	6	for	for	ADP
ejpam-6267	654	7	solving	solve	VERB
ejpam-6267	654	8	integral	integral	ADJ
ejpam-6267	654	9	equations	equation	NOUN
ejpam-6267	654	10	.	.	PUNCT
ejpam-6267	655	1	j.	j.	PROPN
ejpam-6267	655	2	adv	adv	PROPN
ejpam-6267	655	3	.	.	PUNCT
ejpam-6267	656	1	res	res	PROPN
ejpam-6267	656	2	.	.	PROPN
ejpam-6267	656	3	,	,	PUNCT
ejpam-6267	656	4	2020	2020	NUM
ejpam-6267	656	5	.	.	PUNCT
ejpam-6267	657	1	[	[	X
ejpam-6267	657	2	17	17	NUM
ejpam-6267	657	3	]	]	X
ejpam-6267	657	4	r.	r.	PROPN
ejpam-6267	657	5	belgacem	belgacem	PROPN
ejpam-6267	657	6	,	,	PUNCT
ejpam-6267	657	7	a.	a.	NOUN
ejpam-6267	657	8	bokhari	bokhari	PROPN
ejpam-6267	657	9	,	,	PUNCT
ejpam-6267	657	10	d.	d.	PROPN
ejpam-6267	657	11	baleanu	baleanu	PROPN
ejpam-6267	657	12	,	,	PUNCT
ejpam-6267	657	13	and	and	CCONJ
ejpam-6267	657	14	s.	s.	PROPN
ejpam-6267	657	15	djilali	djilali	PROPN
ejpam-6267	657	16	.	.	PUNCT
ejpam-6267	658	1	new	new	ADJ
ejpam-6267	658	2	generalized	generalized	ADJ
ejpam-6267	658	3	integral	integral	ADJ
ejpam-6267	658	4	transform	transform	NOUN
ejpam-6267	658	5	via	via	ADP
ejpam-6267	658	6	dzherbashiannersesian	dzherbashiannersesian	ADJ
ejpam-6267	658	7	fractional	fractional	ADJ
ejpam-6267	658	8	operator	operator	NOUN
ejpam-6267	658	9	.	.	PUNCT
ejpam-6267	659	1	ijocta	ijocta	ADJ
ejpam-6267	659	2	,	,	PUNCT
ejpam-6267	659	3	14(2):90–98	14(2):90–98	NUM
ejpam-6267	659	4	,	,	PUNCT
ejpam-6267	659	5	2024	2024	NUM
ejpam-6267	659	6	.	.	PUNCT
ejpam-6267	660	1	[	[	X
ejpam-6267	660	2	18	18	NUM
ejpam-6267	660	3	]	]	X
ejpam-6267	660	4	muhammad	muhammad	PROPN
ejpam-6267	660	5	amin	amin	PROPN
ejpam-6267	660	6	s.	s.	PROPN
ejpam-6267	660	7	murad	murad	PROPN
ejpam-6267	660	8	,	,	PUNCT
ejpam-6267	660	9	salim	salim	PROPN
ejpam-6267	660	10	s.	s.	PROPN
ejpam-6267	660	11	mahmood	mahmood	PROPN
ejpam-6267	660	12	,	,	PUNCT
ejpam-6267	660	13	homan	homan	PROPN
ejpam-6267	660	14	emadifar	emadifar	PROPN
ejpam-6267	660	15	,	,	PUNCT
ejpam-6267	660	16	wael	wael	PROPN
ejpam-6267	660	17	w.	w.	PROPN
ejpam-6267	660	18	mohammed	mohammed	PROPN
ejpam-6267	660	19	,	,	PUNCT
ejpam-6267	660	20	and	and	CCONJ
ejpam-6267	660	21	karim	karim	PROPN
ejpam-6267	660	22	k.	k.	PROPN
ejpam-6267	660	23	ahmed	ahmed	PROPN
ejpam-6267	660	24	.	.	PUNCT
ejpam-6267	661	1	optical	optical	ADJ
ejpam-6267	661	2	soliton	soliton	NOUN
ejpam-6267	661	3	solution	solution	NOUN
ejpam-6267	661	4	for	for	ADP
ejpam-6267	661	5	dual	dual	ADJ
ejpam-6267	661	6	-	-	PUNCT
ejpam-6267	661	7	mode	mode	NOUN
ejpam-6267	661	8	time	time	NOUN
ejpam-6267	661	9	-	-	PUNCT
ejpam-6267	661	10	fractional	fractional	ADJ
ejpam-6267	661	11	nonlinear	nonlinear	ADJ
ejpam-6267	661	12	schrödinger	schrödinger	ADJ
ejpam-6267	661	13	equation	equation	NOUN
ejpam-6267	661	14	by	by	ADP
ejpam-6267	661	15	generalized	generalized	ADJ
ejpam-6267	661	16	exponential	exponential	ADJ
ejpam-6267	661	17	rational	rational	ADJ
ejpam-6267	661	18	function	function	NOUN
ejpam-6267	661	19	method	method	NOUN
ejpam-6267	661	20	.	.	PUNCT
ejpam-6267	662	1	results	result	NOUN
ejpam-6267	662	2	in	in	ADP
ejpam-6267	662	3	engineering	engineering	NOUN
ejpam-6267	662	4	,	,	PUNCT
ejpam-6267	662	5	2025	2025	NUM
ejpam-6267	662	6	.	.	PUNCT
ejpam-6267	663	1	[	[	X
ejpam-6267	663	2	19	19	NUM
ejpam-6267	663	3	]	]	PUNCT
ejpam-6267	663	4	i.	i.	NOUN
ejpam-6267	663	5	alraddadi	alraddadi	PROPN
ejpam-6267	663	6	,	,	PUNCT
ejpam-6267	663	7	f.	f.	PROPN
ejpam-6267	663	8	alsharif	alsharif	PROPN
ejpam-6267	663	9	,	,	PUNCT
ejpam-6267	663	10	s.	s.	PROPN
ejpam-6267	663	11	malik	malik	PROPN
ejpam-6267	663	12	,	,	PUNCT
ejpam-6267	663	13	h.	h.	PROPN
ejpam-6267	663	14	ahmad	ahmad	PROPN
ejpam-6267	663	15	,	,	PUNCT
ejpam-6267	663	16	t.	t.	NOUN
ejpam-6267	663	17	radwan	radwan	NOUN
ejpam-6267	663	18	,	,	PUNCT
ejpam-6267	663	19	and	and	CCONJ
ejpam-6267	663	20	k.k	k.k	PROPN
ejpam-6267	663	21	.	.	PROPN
ejpam-6267	663	22	ahmed	ahmed	PROPN
ejpam-6267	663	23	.	.	PUNCT
ejpam-6267	664	1	innovative	innovative	ADJ
ejpam-6267	664	2	soliton	soliton	NOUN
ejpam-6267	664	3	solutions	solution	NOUN
ejpam-6267	664	4	for	for	ADP
ejpam-6267	664	5	a	a	DET
ejpam-6267	664	6	(	(	PUNCT
ejpam-6267	664	7	2	2	NUM
ejpam-6267	664	8	+	+	NOUN
ejpam-6267	664	9	1)-dimensional	1)-dimensional	ADJ
ejpam-6267	664	10	generalized	generalized	ADJ
ejpam-6267	664	11	kdv	kdv	NOUN
ejpam-6267	664	12	equation	equation	NOUN
ejpam-6267	664	13	using	use	VERB
ejpam-6267	664	14	two	two	NUM
ejpam-6267	664	15	effective	effective	ADJ
ejpam-6267	664	16	approaches	approach	NOUN
ejpam-6267	664	17	.	.	PUNCT
ejpam-6267	665	1	aims	aim	VERB
ejpam-6267	665	2	mathematics	mathematic	NOUN
ejpam-6267	665	3	,	,	PUNCT
ejpam-6267	665	4	9(12):34966–34980	9(12):34966–34980	NUM
ejpam-6267	665	5	,	,	PUNCT
ejpam-6267	665	6	2024	2024	NUM
ejpam-6267	665	7	.	.	PUNCT
ejpam-6267	666	1	[	[	X
ejpam-6267	666	2	20	20	NUM
ejpam-6267	666	3	]	]	PUNCT
ejpam-6267	666	4	p.	p.	NOUN
ejpam-6267	666	5	o.	o.	PROPN
ejpam-6267	666	6	mohammed	mohammed	PROPN
ejpam-6267	666	7	,	,	PUNCT
ejpam-6267	666	8	m.	m.	PROPN
ejpam-6267	666	9	r.	r.	PROPN
ejpam-6267	666	10	alharthi	alharthi	PROPN
ejpam-6267	666	11	,	,	PUNCT
ejpam-6267	666	12	m.	m.	NOUN
ejpam-6267	666	13	a.	a.	PROPN
ejpam-6267	666	14	yousif	yousif	PROPN
ejpam-6267	666	15	,	,	PUNCT
ejpam-6267	666	16	a.	a.	NOUN
ejpam-6267	666	17	a.	a.	NOUN
ejpam-6267	666	18	lupas	lupas	PROPN
ejpam-6267	666	19	,	,	PUNCT
ejpam-6267	666	20	and	and	CCONJ
ejpam-6267	666	21	s.	s.	PROPN
ejpam-6267	666	22	m.	m.	PROPN
ejpam-6267	666	23	azzo	azzo	PROPN
ejpam-6267	666	24	.	.	PUNCT
ejpam-6267	667	1	modeling	modeling	NOUN
ejpam-6267	667	2	and	and	CCONJ
ejpam-6267	667	3	neural	neural	ADJ
ejpam-6267	667	4	network	network	NOUN
ejpam-6267	667	5	approximation	approximation	NOUN
ejpam-6267	667	6	of	of	ADP
ejpam-6267	667	7	asymptotic	asymptotic	ADJ
ejpam-6267	667	8	behavior	behavior	NOUN
ejpam-6267	667	9	for	for	ADP
ejpam-6267	667	10	delta	delta	NOUN
ejpam-6267	667	11	fractional	fractional	ADJ
ejpam-6267	667	12	difference	difference	NOUN
ejpam-6267	667	13	equations	equation	NOUN
ejpam-6267	667	14	with	with	ADP
ejpam-6267	667	15	mittag	mittag	ADJ
ejpam-6267	667	16	-	-	PUNCT
ejpam-6267	667	17	leffler	leffler	NOUN
ejpam-6267	667	18	kernels	kernel	NOUN
ejpam-6267	667	19	.	.	PUNCT
ejpam-6267	668	1	fractal	fractal	PROPN
ejpam-6267	668	2	and	and	CCONJ
ejpam-6267	668	3	fractional	fractional	ADJ
ejpam-6267	668	4	,	,	PUNCT
ejpam-6267	668	5	9(7):452	9(7):452	NUM
ejpam-6267	668	6	,	,	PUNCT
ejpam-6267	668	7	2025	2025	NUM
ejpam-6267	668	8	.	.	PUNCT
ejpam-6267	669	1	[	[	X
ejpam-6267	669	2	21	21	NUM
ejpam-6267	669	3	]	]	X
ejpam-6267	669	4	majeed	majeed	PROPN
ejpam-6267	669	5	ahmad	ahmad	PROPN
ejpam-6267	669	6	yousif	yousif	PROPN
ejpam-6267	669	7	,	,	PUNCT
ejpam-6267	669	8	dumitru	dumitru	PROPN
ejpam-6267	669	9	baleanu	baleanu	PROPN
ejpam-6267	669	10	,	,	PUNCT
ejpam-6267	669	11	mohamed	mohamed	PROPN
ejpam-6267	669	12	abdelwahed	abdelwahe	VERB
ejpam-6267	669	13	,	,	PUNCT
ejpam-6267	669	14	shrooq	shrooq	PROPN
ejpam-6267	669	15	mohammed	mohammed	PROPN
ejpam-6267	669	16	azzo	azzo	PROPN
ejpam-6267	669	17	,	,	PUNCT
ejpam-6267	669	18	and	and	CCONJ
ejpam-6267	669	19	pshtiwan	pshtiwan	PROPN
ejpam-6267	669	20	othman	othman	PROPN
ejpam-6267	669	21	mohammed	mohammed	PROPN
ejpam-6267	669	22	.	.	PUNCT
ejpam-6267	670	1	finite	finite	PROPN
ejpam-6267	670	2	difference	difference	NOUN
ejpam-6267	670	3	β	β	NOUN
ejpam-6267	670	4	-	-	ADJ
ejpam-6267	670	5	fractional	fractional	ADJ
ejpam-6267	670	6	approach	approach	NOUN
ejpam-6267	670	7	for	for	ADP
ejpam-6267	670	8	solving	solve	VERB
ejpam-6267	670	9	the	the	DET
ejpam-6267	670	10	time	time	NOUN
ejpam-6267	670	11	-	-	PUNCT
ejpam-6267	670	12	fractional	fractional	ADJ
ejpam-6267	670	13	fitzhughnagumo	fitzhughnagumo	ADJ
ejpam-6267	670	14	equation	equation	NOUN
ejpam-6267	670	15	.	.	PUNCT
ejpam-6267	671	1	alexandria	alexandria	PROPN
ejpam-6267	671	2	engineering	engineering	PROPN
ejpam-6267	671	3	journal	journal	PROPN
ejpam-6267	671	4	,	,	PUNCT
ejpam-6267	671	5	125:127–132	125:127–132	NUM
ejpam-6267	671	6	,	,	PUNCT
ejpam-6267	671	7	2025	2025	NUM
ejpam-6267	671	8	.	.	PUNCT
ejpam-6267	672	1	[	[	X
ejpam-6267	672	2	22	22	NUM
ejpam-6267	672	3	]	]	X
ejpam-6267	672	4	karim	karim	PROPN
ejpam-6267	672	5	k.	k.	PROPN
ejpam-6267	672	6	ahmed	ahmed	PROPN
ejpam-6267	672	7	,	,	PUNCT
ejpam-6267	672	8	muhammad	muhammad	PROPN
ejpam-6267	672	9	bilal	bilal	PROPN
ejpam-6267	672	10	,	,	PUNCT
ejpam-6267	672	11	javed	javed	PROPN
ejpam-6267	672	12	iqbal	iqbal	PROPN
ejpam-6267	672	13	,	,	PUNCT
ejpam-6267	672	14	majeed	majeed	PROPN
ejpam-6267	672	15	ahmad	ahmad	PROPN
ejpam-6267	672	16	yousif	yousif	PROPN
ejpam-6267	672	17	,	,	PUNCT
ejpam-6267	672	18	dumitru	dumitru	PROPN
ejpam-6267	672	19	baleanu	baleanu	NOUN
ejpam-6267	672	20	,	,	PUNCT
ejpam-6267	672	21	and	and	CCONJ
ejpam-6267	672	22	pshtiwan	pshtiwan	PROPN
ejpam-6267	672	23	othman	othman	PROPN
ejpam-6267	672	24	mohammed	mohammed	PROPN
ejpam-6267	672	25	.	.	PUNCT
ejpam-6267	673	1	an	an	DET
ejpam-6267	673	2	analytical	analytical	ADJ
ejpam-6267	673	3	algebraic	algebraic	ADJ
ejpam-6267	673	4	method	method	NOUN
ejpam-6267	673	5	for	for	ADP
ejpam-6267	673	6	solving	solve	VERB
ejpam-6267	673	7	nonlinear	nonlinear	ADJ
ejpam-6267	673	8	fractional	fractional	ADJ
ejpam-6267	673	9	differential	differential	ADJ
ejpam-6267	673	10	equations	equation	NOUN
ejpam-6267	673	11	with	with	ADP
ejpam-6267	673	12	conformable	conformable	ADJ
ejpam-6267	673	13	fractional	fractional	ADJ
ejpam-6267	673	14	derivatives	derivative	NOUN
ejpam-6267	673	15	.	.	PUNCT
ejpam-6267	674	1	contemporary	contemporary	ADJ
ejpam-6267	674	2	mathematics	mathematic	NOUN
ejpam-6267	674	3	,	,	PUNCT
ejpam-6267	674	4	6(5):5925–5954	6(5):5925–5954	PROPN
ejpam-6267	674	5	,	,	PUNCT
ejpam-6267	674	6	2025	2025	NUM
ejpam-6267	674	7	.	.	PUNCT
ejpam-6267	675	1	[	[	X
ejpam-6267	675	2	23	23	NUM
ejpam-6267	675	3	]	]	X
ejpam-6267	675	4	i.m	i.m	PROPN
ejpam-6267	675	5	.	.	PROPN
ejpam-6267	675	6	junaid	junaid	PROPN
ejpam-6267	675	7	.	.	PUNCT
ejpam-6267	676	1	the	the	DET
ejpam-6267	676	2	generalization	generalization	NOUN
ejpam-6267	676	3	of	of	ADP
ejpam-6267	676	4	integral	integral	ADJ
ejpam-6267	676	5	transforms	transform	NOUN
ejpam-6267	676	6	combined	combine	VERB
ejpam-6267	676	7	with	with	ADP
ejpam-6267	676	8	he	he	PRON
ejpam-6267	676	9	’s	’	VERB
ejpam-6267	676	10	polynomial	polynomial	ADJ
ejpam-6267	676	11	.	.	PUNCT
ejpam-6267	677	1	eur	eur	PROPN
ejpam-6267	677	2	.	.	PUNCT
ejpam-6267	678	1	j.	j.	PROPN
ejpam-6267	678	2	pure	pure	PROPN
ejpam-6267	678	3	appl	appl	PROPN
ejpam-6267	678	4	.	.	PUNCT
ejpam-6267	678	5	math	math	PROPN
ejpam-6267	678	6	.	.	PUNCT
ejpam-6267	678	7	,	,	PUNCT
ejpam-6267	678	8	16(2):1024–1046	16(2):1024–1046	NUM
ejpam-6267	678	9	,	,	PUNCT
ejpam-6267	678	10	2023	2023	NUM
ejpam-6267	678	11	.	.	PUNCT
ejpam-6267	679	1	[	[	X
ejpam-6267	679	2	24	24	NUM
ejpam-6267	679	3	]	]	PUNCT
ejpam-6267	679	4	shengqiang	shengqiang	PROPN
ejpam-6267	679	5	zhang	zhang	PROPN
ejpam-6267	679	6	,	,	PUNCT
ejpam-6267	679	7	yanling	yanling	PROPN
ejpam-6267	679	8	meng	meng	PROPN
ejpam-6267	679	9	,	,	PUNCT
ejpam-6267	679	10	amit	amit	PROPN
ejpam-6267	679	11	k.	k.	PROPN
ejpam-6267	679	12	chakraborty	chakraborty	PROPN
ejpam-6267	679	13	,	,	PUNCT
ejpam-6267	679	14	and	and	CCONJ
ejpam-6267	679	15	hao	hao	PROPN
ejpam-6267	679	16	wang	wang	PROPN
ejpam-6267	679	17	.	.	PUNCT
ejpam-6267	680	1	controlling	control	VERB
ejpam-6267	680	2	smoking	smoking	NOUN
ejpam-6267	680	3	:	:	PUNCT
ejpam-6267	680	4	a	a	DET
ejpam-6267	680	5	smoking	smoking	NOUN
ejpam-6267	680	6	epidemic	epidemic	NOUN
ejpam-6267	680	7	model	model	NOUN
ejpam-6267	680	8	with	with	ADP
ejpam-6267	680	9	different	different	ADJ
ejpam-6267	680	10	smoking	smoking	NOUN
ejpam-6267	680	11	degrees	degree	NOUN
ejpam-6267	680	12	in	in	ADP
ejpam-6267	680	13	deterministic	deterministic	ADJ
ejpam-6267	680	14	and	and	CCONJ
ejpam-6267	680	15	stochastic	stochastic	ADJ
ejpam-6267	680	16	environments	environment	NOUN
ejpam-6267	680	17	.	.	PUNCT
ejpam-6267	681	1	mathematical	mathematical	ADJ
ejpam-6267	681	2	biosciences	bioscience	NOUN
ejpam-6267	681	3	,	,	PUNCT
ejpam-6267	681	4	page	page	NOUN
ejpam-6267	681	5	109132	109132	NUM
ejpam-6267	681	6	,	,	PUNCT
ejpam-6267	681	7	2023	2023	NUM
ejpam-6267	681	8	.	.	PUNCT
ejpam-6267	682	1	[	[	X
ejpam-6267	682	2	25	25	NUM
ejpam-6267	682	3	]	]	X
ejpam-6267	682	4	r.	r.	PROPN
ejpam-6267	682	5	ullah	ullah	PROPN
ejpam-6267	682	6	,	,	PUNCT
ejpam-6267	682	7	m.	m.	NOUN
ejpam-6267	682	8	khan	khan	PROPN
ejpam-6267	682	9	,	,	PUNCT
ejpam-6267	682	10	and	and	CCONJ
ejpam-6267	682	11	g.	g.	PROPN
ejpam-6267	682	12	zaman	zaman	PROPN
ejpam-6267	682	13	.	.	PUNCT
ejpam-6267	683	1	dynamical	dynamical	ADJ
ejpam-6267	683	2	features	feature	NOUN
ejpam-6267	683	3	of	of	ADP
ejpam-6267	683	4	a	a	DET
ejpam-6267	683	5	mathematical	mathematical	ADJ
ejpam-6267	683	6	model	model	NOUN
ejpam-6267	683	7	on	on	ADP
ejpam-6267	683	8	smoking	smoking	NOUN
ejpam-6267	683	9	.	.	PUNCT
ejpam-6267	684	1	j.	j.	PROPN
ejpam-6267	684	2	appl	appl	PROPN
ejpam-6267	684	3	.	.	PROPN
ejpam-6267	685	1	environ	environ	PROPN
ejpam-6267	685	2	.	.	PUNCT
ejpam-6267	686	1	biol	biol	PROPN
ejpam-6267	686	2	.	.	PUNCT
ejpam-6267	687	1	sci	sci	PROPN
ejpam-6267	687	2	.	.	PROPN
ejpam-6267	687	3	,	,	PUNCT
ejpam-6267	687	4	6(1):92–96	6(1):92–96	NUM
ejpam-6267	687	5	,	,	PUNCT
ejpam-6267	687	6	2016	2016	NUM
ejpam-6267	687	7	.	.	PUNCT
ejpam-6267	688	1	[	[	X
ejpam-6267	688	2	26	26	NUM
ejpam-6267	688	3	]	]	X
ejpam-6267	688	4	a.a	a.a	PROPN
ejpam-6267	688	5	.	.	PROPN
ejpam-6267	688	6	kilbas	kilbas	PROPN
ejpam-6267	688	7	,	,	PUNCT
ejpam-6267	688	8	h.m	h.m	PROPN
ejpam-6267	688	9	.	.	PROPN
ejpam-6267	688	10	srivastava	srivastava	PROPN
ejpam-6267	688	11	,	,	PUNCT
ejpam-6267	688	12	and	and	CCONJ
ejpam-6267	688	13	j.j	j.j	PROPN
ejpam-6267	688	14	.	.	PROPN
ejpam-6267	688	15	trujillo	trujillo	PROPN
ejpam-6267	688	16	.	.	PUNCT
ejpam-6267	688	17	theory	theory	NOUN
ejpam-6267	688	18	and	and	CCONJ
ejpam-6267	688	19	applications	application	NOUN
ejpam-6267	688	20	of	of	ADP
ejpam-6267	688	21	fractional	fractional	ADJ
ejpam-6267	688	22	differential	differential	ADJ
ejpam-6267	688	23	equations	equation	NOUN
ejpam-6267	688	24	.	.	PUNCT
ejpam-6267	689	1	elsevier	elsevier	PROPN
ejpam-6267	689	2	,	,	PUNCT
ejpam-6267	689	3	amsterdam	amsterdam	PROPN
ejpam-6267	689	4	,	,	PUNCT
ejpam-6267	689	5	2006	2006	NUM
ejpam-6267	689	6	.	.	PUNCT
ejpam-6267	690	1	r.	r.	PROPN
ejpam-6267	690	2	belgacem	belgacem	PROPN
ejpam-6267	690	3	et	et	PROPN
ejpam-6267	690	4	al	al	PROPN
ejpam-6267	690	5	.	.	PUNCT
ejpam-6267	690	6	/	/	SYM
ejpam-6267	690	7	eur	eur	PROPN
ejpam-6267	690	8	.	.	PUNCT
ejpam-6267	691	1	j.	j.	PROPN
ejpam-6267	691	2	pure	pure	PROPN
ejpam-6267	691	3	appl	appl	PROPN
ejpam-6267	691	4	.	.	PROPN
ejpam-6267	691	5	math	math	PROPN
ejpam-6267	691	6	,	,	PUNCT
ejpam-6267	691	7	18	18	NUM
ejpam-6267	691	8	(	(	PUNCT
ejpam-6267	691	9	4	4	NUM
ejpam-6267	691	10	)	)	PUNCT
ejpam-6267	691	11	(	(	PUNCT
ejpam-6267	691	12	2025	2025	NUM
ejpam-6267	691	13	)	)	PUNCT
ejpam-6267	691	14	,	,	PUNCT
ejpam-6267	691	15	6267	6267	NUM
ejpam-6267	691	16	26	26	NUM
ejpam-6267	691	17	of	of	ADP
ejpam-6267	691	18	26	26	NUM
ejpam-6267	691	19	[	[	SYM
ejpam-6267	691	20	27	27	NUM
ejpam-6267	691	21	]	]	PUNCT
ejpam-6267	691	22	m.	m.	NOUN
ejpam-6267	691	23	caputo	caputo	PROPN
ejpam-6267	691	24	and	and	CCONJ
ejpam-6267	691	25	m.	m.	PROPN
ejpam-6267	691	26	fabrizio	fabrizio	PROPN
ejpam-6267	691	27	.	.	PUNCT
ejpam-6267	692	1	a	a	DET
ejpam-6267	692	2	new	new	ADJ
ejpam-6267	692	3	definition	definition	NOUN
ejpam-6267	692	4	of	of	ADP
ejpam-6267	692	5	fractional	fractional	ADJ
ejpam-6267	692	6	derivative	derivative	NOUN
ejpam-6267	692	7	without	without	ADP
ejpam-6267	692	8	singular	singular	ADJ
ejpam-6267	692	9	kernel	kernel	PROPN
ejpam-6267	692	10	.	.	PUNCT
ejpam-6267	693	1	progress	progress	NOUN
ejpam-6267	693	2	in	in	ADP
ejpam-6267	693	3	fractional	fractional	ADJ
ejpam-6267	693	4	differentiation	differentiation	NOUN
ejpam-6267	693	5	and	and	CCONJ
ejpam-6267	693	6	applications	application	NOUN
ejpam-6267	693	7	,	,	PUNCT
ejpam-6267	693	8	73:1–13	73:1–13	NUM
ejpam-6267	693	9	,	,	PUNCT
ejpam-6267	693	10	2015	2015	NUM
ejpam-6267	693	11	.	.	PUNCT
ejpam-6267	694	1	[	[	X
ejpam-6267	694	2	28	28	NUM
ejpam-6267	694	3	]	]	X
ejpam-6267	694	4	m.	m.	NOUN
ejpam-6267	694	5	abdullah	abdullah	PROPN
ejpam-6267	694	6	,	,	PUNCT
ejpam-6267	694	7	a.	a.	PROPN
ejpam-6267	694	8	ahmad	ahmad	PROPN
ejpam-6267	694	9	,	,	PUNCT
ejpam-6267	694	10	n.	n.	PROPN
ejpam-6267	694	11	raza	raza	PROPN
ejpam-6267	694	12	,	,	PUNCT
ejpam-6267	694	13	m.	m.	NOUN
ejpam-6267	694	14	farman	farman	PROPN
ejpam-6267	694	15	,	,	PUNCT
ejpam-6267	694	16	and	and	CCONJ
ejpam-6267	694	17	m.o	m.o	PROPN
ejpam-6267	694	18	.	.	PROPN
ejpam-6267	694	19	ahmad	ahmad	PROPN
ejpam-6267	694	20	.	.	PROPN
ejpam-6267	694	21	approximate	approximate	ADJ
ejpam-6267	694	22	solution	solution	NOUN
ejpam-6267	694	23	and	and	CCONJ
ejpam-6267	694	24	analysis	analysis	NOUN
ejpam-6267	694	25	of	of	ADP
ejpam-6267	694	26	smoking	smoking	NOUN
ejpam-6267	694	27	epidemic	epidemic	NOUN
ejpam-6267	694	28	model	model	NOUN
ejpam-6267	694	29	with	with	ADP
ejpam-6267	694	30	caputo	caputo	PROPN
ejpam-6267	694	31	fractional	fractional	ADJ
ejpam-6267	694	32	derivatives	derivative	NOUN
ejpam-6267	694	33	.	.	PUNCT
ejpam-6267	695	1	int	int	NOUN
ejpam-6267	695	2	.	.	PUNCT
ejpam-6267	696	1	j.	j.	PROPN
ejpam-6267	696	2	appl	appl	PROPN
ejpam-6267	696	3	.	.	PUNCT
ejpam-6267	697	1	comput	comput	PROPN
ejpam-6267	697	2	.	.	PUNCT
ejpam-6267	698	1	math	math	NOUN
ejpam-6267	698	2	.	.	PUNCT
ejpam-6267	698	3	,	,	PUNCT
ejpam-6267	698	4	4:1–16	4:1–16	NUM
ejpam-6267	698	5	,	,	PUNCT
ejpam-6267	698	6	2018	2018	NUM
ejpam-6267	698	7	.	.	PUNCT
ejpam-6267	699	1	[	[	X
ejpam-6267	699	2	29	29	NUM
ejpam-6267	699	3	]	]	X
ejpam-6267	699	4	d.	d.	PROPN
ejpam-6267	699	5	matignon	matignon	PROPN
ejpam-6267	699	6	.	.	PUNCT
ejpam-6267	700	1	stability	stability	NOUN
ejpam-6267	700	2	results	result	VERB
ejpam-6267	700	3	for	for	ADP
ejpam-6267	700	4	fractional	fractional	ADJ
ejpam-6267	700	5	differential	differential	ADJ
ejpam-6267	700	6	equations	equation	NOUN
ejpam-6267	700	7	with	with	ADP
ejpam-6267	700	8	applications	application	NOUN
ejpam-6267	700	9	to	to	PART
ejpam-6267	700	10	control	control	VERB
ejpam-6267	700	11	processing	processing	NOUN
ejpam-6267	700	12	.	.	PUNCT
ejpam-6267	701	1	comput	comput	NOUN
ejpam-6267	701	2	.	.	PUNCT
ejpam-6267	702	1	eng	eng	PROPN
ejpam-6267	702	2	.	.	PUNCT
ejpam-6267	702	3	syst	syst	PROPN
ejpam-6267	702	4	.	.	PUNCT
ejpam-6267	703	1	appl	appl	PROPN
ejpam-6267	703	2	.	.	PROPN
ejpam-6267	703	3	,	,	PUNCT
ejpam-6267	703	4	2:963	2:963	NUM
ejpam-6267	703	5	,	,	PUNCT
ejpam-6267	703	6	1996	1996	NUM
ejpam-6267	703	7	.	.	PUNCT
ejpam-6267	704	1	[	[	X
ejpam-6267	704	2	30	30	NUM
ejpam-6267	704	3	]	]	X
ejpam-6267	704	4	c.	c.	PROPN
ejpam-6267	704	5	li	li	PROPN
ejpam-6267	704	6	,	,	PUNCT
ejpam-6267	704	7	a.	a.	PROPN
ejpam-6267	704	8	muhammadhaji	muhammadhaji	PROPN
ejpam-6267	704	9	,	,	PUNCT
ejpam-6267	704	10	l.	l.	PROPN
ejpam-6267	704	11	zhang	zhang	PROPN
ejpam-6267	704	12	,	,	PUNCT
ejpam-6267	704	13	and	and	CCONJ
ejpam-6267	704	14	z.	z.	PROPN
ejpam-6267	704	15	teng	teng	PROPN
ejpam-6267	704	16	.	.	PUNCT
ejpam-6267	705	1	stability	stability	NOUN
ejpam-6267	705	2	analysis	analysis	NOUN
ejpam-6267	705	3	of	of	ADP
ejpam-6267	705	4	a	a	DET
ejpam-6267	705	5	fractionalorder	fractionalorder	ADJ
ejpam-6267	705	6	predatorprey	predatorprey	NOUN
ejpam-6267	705	7	model	model	NOUN
ejpam-6267	705	8	incorporating	incorporate	VERB
ejpam-6267	705	9	a	a	DET
ejpam-6267	705	10	constant	constant	ADJ
ejpam-6267	705	11	prey	prey	NOUN
ejpam-6267	705	12	refuge	refuge	NOUN
ejpam-6267	705	13	and	and	CCONJ
ejpam-6267	705	14	feedback	feedback	NOUN
ejpam-6267	705	15	control	control	NOUN
ejpam-6267	705	16	.	.	PUNCT
ejpam-6267	706	1	adv	adv	PROPN
ejpam-6267	706	2	.	.	PROPN
ejpam-6267	706	3	differ	differ	VERB
ejpam-6267	706	4	.	.	PUNCT
ejpam-6267	707	1	equ	equ	PROPN
ejpam-6267	707	2	.	.	PROPN
ejpam-6267	707	3	,	,	PUNCT
ejpam-6267	707	4	2018:325	2018:325	PROPN
ejpam-6267	707	5	,	,	PUNCT
ejpam-6267	707	6	2018	2018	NUM
ejpam-6267	707	7	.	.	PUNCT
ejpam-6267	708	1	introduction	introduction	NOUN
ejpam-6267	708	2	preliminary	preliminary	ADJ
ejpam-6267	708	3	main	main	ADJ
ejpam-6267	708	4	results	result	NOUN
ejpam-6267	708	5	of	of	ADP
ejpam-6267	708	6	tng	tng	PROPN
ejpam-6267	708	7	transform	transform	VERB
ejpam-6267	708	8	main	main	ADJ
ejpam-6267	708	9	results	result	NOUN
ejpam-6267	708	10	and	and	CCONJ
ejpam-6267	708	11	mathematical	mathematical	ADJ
ejpam-6267	708	12	modeling	modeling	NOUN
ejpam-6267	708	13	of	of	ADP
ejpam-6267	708	14	smoking	smoking	NOUN
ejpam-6267	708	15	epidemic	epidemic	NOUN
ejpam-6267	708	16	model	model	NOUN
ejpam-6267	708	17	a	a	DET
ejpam-6267	708	18	hybrid	hybrid	ADJ
ejpam-6267	708	19	new	new	ADJ
ejpam-6267	708	20	general	general	ADJ
ejpam-6267	708	21	transform	transform	NOUN
ejpam-6267	708	22	adomian	adomian	NOUN
ejpam-6267	708	23	decomposition	decomposition	NOUN
ejpam-6267	708	24	method	method	NOUN
ejpam-6267	708	25	for	for	ADP
ejpam-6267	708	26	solving	solve	VERB
ejpam-6267	708	27	the	the	DET
ejpam-6267	708	28	fractional	fractional	ADJ
ejpam-6267	708	29	model	model	NOUN
ejpam-6267	708	30	numerical	numerical	ADJ
ejpam-6267	708	31	solution	solution	NOUN
ejpam-6267	708	32	for	for	ADP
ejpam-6267	708	33	the	the	DET
ejpam-6267	708	34	model	model	NOUN
ejpam-6267	708	35	13	13	NUM
ejpam-6267	708	36	simulations	simulation	NOUN
ejpam-6267	708	37	and	and	CCONJ
ejpam-6267	708	38	discussion	discussion	NOUN
ejpam-6267	708	39	numerical	numerical	ADJ
ejpam-6267	708	40	approximation	approximation	NOUN
ejpam-6267	708	41	via	via	ADP
ejpam-6267	708	42	the	the	DET
ejpam-6267	708	43	hybrid	hybrid	ADJ
ejpam-6267	708	44	tng	tng	PROPN
ejpam-6267	708	45	-adm	-adm	PROPN
ejpam-6267	708	46	–	–	PUNCT
ejpam-6267	708	47	ann	ann	PROPN
ejpam-6267	708	48	method	method	NOUN
ejpam-6267	708	49	conclusion	conclusion	NOUN