id	sid	tid	token	lemma	pos
ejpam-6923	1	1	european	european	PROPN
ejpam-6923	1	2	journal	journal	PROPN
ejpam-6923	1	3	of	of	ADP
ejpam-6923	1	4	pure	pure	ADJ
ejpam-6923	1	5	and	and	CCONJ
ejpam-6923	1	6	applied	applied	ADJ
ejpam-6923	1	7	mathematics	mathematic	NOUN
ejpam-6923	1	8	2025	2025	NUM
ejpam-6923	1	9	,	,	PUNCT
ejpam-6923	1	10	vol	vol	NOUN
ejpam-6923	1	11	.	.	PROPN
ejpam-6923	1	12	18	18	NUM
ejpam-6923	1	13	,	,	PUNCT
ejpam-6923	1	14	issue	issue	NOUN
ejpam-6923	1	15	4	4	NUM
ejpam-6923	1	16	,	,	PUNCT
ejpam-6923	1	17	article	article	NOUN
ejpam-6923	1	18	number	number	NOUN
ejpam-6923	1	19	6923	6923	NUM
ejpam-6923	1	20	issn	issn	PROPN
ejpam-6923	1	21	1307	1307	NUM
ejpam-6923	1	22	-	-	SYM
ejpam-6923	1	23	5543	5543	NUM
ejpam-6923	1	24	–	–	PUNCT
ejpam-6923	1	25	ejpam.com	ejpam.com	X
ejpam-6923	1	26	published	publish	VERB
ejpam-6923	1	27	by	by	ADP
ejpam-6923	1	28	new	new	PROPN
ejpam-6923	1	29	york	york	PROPN
ejpam-6923	1	30	business	business	PROPN
ejpam-6923	1	31	global	global	ADJ
ejpam-6923	1	32	analysis	analysis	NOUN
ejpam-6923	1	33	of	of	ADP
ejpam-6923	1	34	a	a	DET
ejpam-6923	1	35	fractional	fractional	ADJ
ejpam-6923	1	36	order	order	NOUN
ejpam-6923	1	37	enzymatic	enzymatic	ADJ
ejpam-6923	1	38	reaction	reaction	NOUN
ejpam-6923	1	39	model	model	NOUN
ejpam-6923	1	40	with	with	ADP
ejpam-6923	1	41	artificial	artificial	ADJ
ejpam-6923	1	42	neural	neural	ADJ
ejpam-6923	1	43	network	network	NOUN
ejpam-6923	1	44	validation	validation	NOUN
ejpam-6923	1	45	asma1	asma1	PROPN
ejpam-6923	1	46	,	,	PUNCT
ejpam-6923	1	47	israr	israr	NOUN
ejpam-6923	1	48	ahmad2	ahmad2	PROPN
ejpam-6923	1	49	,	,	PUNCT
ejpam-6923	1	50	zeeshan	zeeshan	PROPN
ejpam-6923	1	51	ali3	ali3	PROPN
ejpam-6923	1	52	,	,	PUNCT
ejpam-6923	1	53	saowaluck	saowaluck	NOUN
ejpam-6923	1	54	chasreechai4,5,∗	chasreechai4,5,∗	NOUN
ejpam-6923	1	55	,	,	PUNCT
ejpam-6923	1	56	thanin	thanin	ADJ
ejpam-6923	1	57	sitthiwirattham5,6	sitthiwirattham5,6	PROPN
ejpam-6923	1	58	1	1	NUM
ejpam-6923	1	59	department	department	NOUN
ejpam-6923	1	60	of	of	ADP
ejpam-6923	1	61	mathematics	mathematic	NOUN
ejpam-6923	1	62	,	,	PUNCT
ejpam-6923	1	63	comsats	comsats	PROPN
ejpam-6923	1	64	university	university	PROPN
ejpam-6923	1	65	of	of	ADP
ejpam-6923	1	66	islamabad	islamabad	PROPN
ejpam-6923	1	67	,	,	PUNCT
ejpam-6923	1	68	sahiwal	sahiwal	PROPN
ejpam-6923	1	69	campus	campus	PROPN
ejpam-6923	1	70	,	,	PUNCT
ejpam-6923	1	71	punjab	punjab	PROPN
ejpam-6923	1	72	,	,	PUNCT
ejpam-6923	1	73	pakistan	pakistan	PROPN
ejpam-6923	1	74	2	2	NUM
ejpam-6923	1	75	department	department	NOUN
ejpam-6923	1	76	of	of	ADP
ejpam-6923	1	77	mathematics	mathematic	NOUN
ejpam-6923	1	78	,	,	PUNCT
ejpam-6923	1	79	government	government	NOUN
ejpam-6923	1	80	post	post	NOUN
ejpam-6923	1	81	graduate	graduate	PROPN
ejpam-6923	1	82	jahanzeb	jahanzeb	PROPN
ejpam-6923	1	83	college	college	PROPN
ejpam-6923	1	84	,	,	PUNCT
ejpam-6923	1	85	swat	swat	PROPN
ejpam-6923	1	86	,	,	PUNCT
ejpam-6923	1	87	kp	kp	PROPN
ejpam-6923	1	88	,	,	PUNCT
ejpam-6923	1	89	pakistan	pakistan	PROPN
ejpam-6923	1	90	3	3	NUM
ejpam-6923	1	91	department	department	PROPN
ejpam-6923	1	92	of	of	ADP
ejpam-6923	1	93	information	information	NOUN
ejpam-6923	1	94	management	management	NOUN
ejpam-6923	1	95	,	,	PUNCT
ejpam-6923	1	96	national	national	PROPN
ejpam-6923	1	97	yunlin	yunlin	PROPN
ejpam-6923	1	98	university	university	PROPN
ejpam-6923	1	99	of	of	ADP
ejpam-6923	1	100	science	science	NOUN
ejpam-6923	1	101	and	and	CCONJ
ejpam-6923	1	102	technology	technology	NOUN
ejpam-6923	1	103	,	,	PUNCT
ejpam-6923	1	104	douliu	douliu	NOUN
ejpam-6923	1	105	,	,	PUNCT
ejpam-6923	1	106	yunlin	yunlin	PROPN
ejpam-6923	1	107	,	,	PUNCT
ejpam-6923	1	108	taiwan	taiwan	PROPN
ejpam-6923	1	109	,	,	PUNCT
ejpam-6923	1	110	r.o.c	r.o.c	VERB
ejpam-6923	1	111	4	4	NUM
ejpam-6923	1	112	department	department	NOUN
ejpam-6923	1	113	of	of	ADP
ejpam-6923	1	114	mathematics	mathematic	NOUN
ejpam-6923	1	115	,	,	PUNCT
ejpam-6923	1	116	faculty	faculty	NOUN
ejpam-6923	1	117	of	of	ADP
ejpam-6923	1	118	applied	apply	VERB
ejpam-6923	1	119	science	science	NOUN
ejpam-6923	1	120	,	,	PUNCT
ejpam-6923	1	121	king	king	PROPN
ejpam-6923	1	122	mongkut	mongkut	PROPN
ejpam-6923	1	123	’s	’s	PROPN
ejpam-6923	1	124	university	university	PROPN
ejpam-6923	1	125	of	of	ADP
ejpam-6923	1	126	technology	technology	PROPN
ejpam-6923	1	127	north	north	PROPN
ejpam-6923	1	128	bangkok	bangkok	PROPN
ejpam-6923	1	129	,	,	PUNCT
ejpam-6923	1	130	bangkok	bangkok	PROPN
ejpam-6923	1	131	10800	10800	NUM
ejpam-6923	1	132	,	,	PUNCT
ejpam-6923	1	133	thailand	thailand	PROPN
ejpam-6923	1	134	5	5	NUM
ejpam-6923	1	135	mathematics	mathematics	PROPN
ejpam-6923	1	136	department	department	NOUN
ejpam-6923	1	137	,	,	PUNCT
ejpam-6923	1	138	faculty	faculty	NOUN
ejpam-6923	1	139	of	of	ADP
ejpam-6923	1	140	science	science	NOUN
ejpam-6923	1	141	and	and	CCONJ
ejpam-6923	1	142	technology	technology	NOUN
ejpam-6923	1	143	,	,	PUNCT
ejpam-6923	1	144	suan	suan	PROPN
ejpam-6923	1	145	dusit	dusit	PROPN
ejpam-6923	1	146	university	university	PROPN
ejpam-6923	1	147	,	,	PUNCT
ejpam-6923	1	148	bangkok	bangkok	PROPN
ejpam-6923	1	149	10300	10300	NUM
ejpam-6923	1	150	,	,	PUNCT
ejpam-6923	1	151	thailand	thailand	PROPN
ejpam-6923	1	152	6	6	NUM
ejpam-6923	1	153	research	research	NOUN
ejpam-6923	1	154	group	group	NOUN
ejpam-6923	1	155	for	for	ADP
ejpam-6923	1	156	fractional	fractional	ADJ
ejpam-6923	1	157	calculus	calculus	NOUN
ejpam-6923	1	158	theory	theory	NOUN
ejpam-6923	1	159	and	and	CCONJ
ejpam-6923	1	160	applications	application	NOUN
ejpam-6923	1	161	,	,	PUNCT
ejpam-6923	1	162	science	science	NOUN
ejpam-6923	1	163	and	and	CCONJ
ejpam-6923	1	164	technology	technology	NOUN
ejpam-6923	1	165	research	research	PROPN
ejpam-6923	1	166	institute	institute	PROPN
ejpam-6923	1	167	,	,	PUNCT
ejpam-6923	1	168	king	king	PROPN
ejpam-6923	1	169	mongkut	mongkut	PROPN
ejpam-6923	1	170	’s	’s	PROPN
ejpam-6923	1	171	university	university	PROPN
ejpam-6923	1	172	of	of	ADP
ejpam-6923	1	173	technology	technology	PROPN
ejpam-6923	1	174	north	north	PROPN
ejpam-6923	1	175	bangkok	bangkok	PROPN
ejpam-6923	1	176	,	,	PUNCT
ejpam-6923	1	177	bangkok	bangkok	PROPN
ejpam-6923	1	178	10800	10800	NUM
ejpam-6923	1	179	,	,	PUNCT
ejpam-6923	1	180	thailand	thailand	PROPN
ejpam-6923	1	181	abstract	abstract	NOUN
ejpam-6923	1	182	.	.	PUNCT
ejpam-6923	2	1	this	this	DET
ejpam-6923	2	2	paper	paper	NOUN
ejpam-6923	2	3	investigates	investigate	VERB
ejpam-6923	2	4	an	an	DET
ejpam-6923	2	5	enzymatic	enzymatic	ADJ
ejpam-6923	2	6	reaction	reaction	NOUN
ejpam-6923	2	7	model	model	NOUN
ejpam-6923	2	8	formulated	formulate	VERB
ejpam-6923	2	9	with	with	ADP
ejpam-6923	2	10	the	the	DET
ejpam-6923	2	11	atangana	atangana	PROPN
ejpam-6923	2	12	–	–	PUNCT
ejpam-6923	2	13	baleanu	baleanu	NOUN
ejpam-6923	2	14	–	–	PUNCT
ejpam-6923	2	15	caputo	caputo	PROPN
ejpam-6923	2	16	(	(	PUNCT
ejpam-6923	2	17	abc	abc	PROPN
ejpam-6923	2	18	)	)	PUNCT
ejpam-6923	2	19	fractional	fractional	ADJ
ejpam-6923	2	20	derivative	derivative	NOUN
ejpam-6923	2	21	,	,	PUNCT
ejpam-6923	2	22	aiming	aim	VERB
ejpam-6923	2	23	to	to	PART
ejpam-6923	2	24	enhance	enhance	VERB
ejpam-6923	2	25	the	the	DET
ejpam-6923	2	26	classical	classical	ADJ
ejpam-6923	2	27	description	description	NOUN
ejpam-6923	2	28	of	of	ADP
ejpam-6923	2	29	enzyme	enzyme	NOUN
ejpam-6923	2	30	kinetics	kinetic	NOUN
ejpam-6923	2	31	.	.	PUNCT
ejpam-6923	3	1	existence	existence	NOUN
ejpam-6923	3	2	and	and	CCONJ
ejpam-6923	3	3	uniqueness	uniqueness	NOUN
ejpam-6923	3	4	of	of	ADP
ejpam-6923	3	5	the	the	DET
ejpam-6923	3	6	solution	solution	NOUN
ejpam-6923	3	7	are	be	AUX
ejpam-6923	3	8	established	establish	VERB
ejpam-6923	3	9	through	through	ADP
ejpam-6923	3	10	nonlinear	nonlinear	ADJ
ejpam-6923	3	11	functional	functional	ADJ
ejpam-6923	3	12	analysis	analysis	NOUN
ejpam-6923	3	13	,	,	PUNCT
ejpam-6923	3	14	while	while	SCONJ
ejpam-6923	3	15	approximate	approximate	ADJ
ejpam-6923	3	16	solutions	solution	NOUN
ejpam-6923	3	17	are	be	AUX
ejpam-6923	3	18	obtained	obtain	VERB
ejpam-6923	3	19	via	via	ADP
ejpam-6923	3	20	the	the	DET
ejpam-6923	3	21	laplace	laplace	NOUN
ejpam-6923	3	22	adomian	adomian	NOUN
ejpam-6923	3	23	decomposition	decomposition	NOUN
ejpam-6923	3	24	method	method	NOUN
ejpam-6923	3	25	(	(	PUNCT
ejpam-6923	3	26	ladm	ladm	NOUN
ejpam-6923	3	27	)	)	PUNCT
ejpam-6923	3	28	.	.	PUNCT
ejpam-6923	4	1	to	to	PART
ejpam-6923	4	2	validate	validate	VERB
ejpam-6923	4	3	and	and	CCONJ
ejpam-6923	4	4	complement	complement	VERB
ejpam-6923	4	5	the	the	DET
ejpam-6923	4	6	numerical	numerical	ADJ
ejpam-6923	4	7	scheme	scheme	NOUN
ejpam-6923	4	8	,	,	PUNCT
ejpam-6923	4	9	we	we	PRON
ejpam-6923	4	10	employ	employ	VERB
ejpam-6923	4	11	a	a	DET
ejpam-6923	4	12	neural	neural	ADJ
ejpam-6923	4	13	network	network	NOUN
ejpam-6923	4	14	framework	framework	NOUN
ejpam-6923	4	15	that	that	PRON
ejpam-6923	4	16	demonstrates	demonstrate	VERB
ejpam-6923	4	17	the	the	DET
ejpam-6923	4	18	capability	capability	NOUN
ejpam-6923	4	19	of	of	ADP
ejpam-6923	4	20	intelligent	intelligent	ADJ
ejpam-6923	4	21	computing	computing	NOUN
ejpam-6923	4	22	to	to	PART
ejpam-6923	4	23	approximate	approximate	VERB
ejpam-6923	4	24	fractional	fractional	ADJ
ejpam-6923	4	25	biochemical	biochemical	ADJ
ejpam-6923	4	26	dynamics	dynamic	NOUN
ejpam-6923	4	27	.	.	PUNCT
ejpam-6923	5	1	sensitivity	sensitivity	NOUN
ejpam-6923	5	2	analysis	analysis	NOUN
ejpam-6923	5	3	is	be	AUX
ejpam-6923	5	4	carried	carry	VERB
ejpam-6923	5	5	out	out	ADP
ejpam-6923	5	6	,	,	PUNCT
ejpam-6923	5	7	and	and	CCONJ
ejpam-6923	5	8	numerical	numerical	ADJ
ejpam-6923	5	9	simulations	simulation	NOUN
ejpam-6923	5	10	are	be	AUX
ejpam-6923	5	11	illustrated	illustrate	VERB
ejpam-6923	5	12	through	through	ADP
ejpam-6923	5	13	2d	2d	NUM
ejpam-6923	5	14	and	and	CCONJ
ejpam-6923	5	15	3d	3d	NUM
ejpam-6923	5	16	plots	plot	NOUN
ejpam-6923	5	17	.	.	PUNCT
ejpam-6923	6	1	the	the	DET
ejpam-6923	6	2	study	study	NOUN
ejpam-6923	6	3	highlights	highlight	VERB
ejpam-6923	6	4	how	how	SCONJ
ejpam-6923	6	5	the	the	DET
ejpam-6923	6	6	combination	combination	NOUN
ejpam-6923	6	7	of	of	ADP
ejpam-6923	6	8	fractional	fractional	ADJ
ejpam-6923	6	9	calculus	calculus	NOUN
ejpam-6923	6	10	and	and	CCONJ
ejpam-6923	6	11	neural	neural	ADJ
ejpam-6923	6	12	networks	network	NOUN
ejpam-6923	6	13	offers	offer	VERB
ejpam-6923	6	14	new	new	ADJ
ejpam-6923	6	15	perspectives	perspective	NOUN
ejpam-6923	6	16	for	for	ADP
ejpam-6923	6	17	modelling	model	VERB
ejpam-6923	6	18	enzyme	enzyme	NOUN
ejpam-6923	6	19	kinetics	kinetic	NOUN
ejpam-6923	6	20	.	.	PUNCT
ejpam-6923	7	1	the	the	DET
ejpam-6923	7	2	results	result	NOUN
ejpam-6923	7	3	indicate	indicate	VERB
ejpam-6923	7	4	potential	potential	ADJ
ejpam-6923	7	5	applications	application	NOUN
ejpam-6923	7	6	in	in	ADP
ejpam-6923	7	7	drug	drug	NOUN
ejpam-6923	7	8	development	development	NOUN
ejpam-6923	7	9	,	,	PUNCT
ejpam-6923	7	10	metabolic	metabolic	NOUN
ejpam-6923	7	11	engineering	engineering	NOUN
ejpam-6923	7	12	,	,	PUNCT
ejpam-6923	7	13	and	and	CCONJ
ejpam-6923	7	14	biochemical	biochemical	ADJ
ejpam-6923	7	15	process	process	NOUN
ejpam-6923	7	16	optimization	optimization	NOUN
ejpam-6923	7	17	,	,	PUNCT
ejpam-6923	7	18	providing	provide	VERB
ejpam-6923	7	19	a	a	DET
ejpam-6923	7	20	pathway	pathway	NOUN
ejpam-6923	7	21	for	for	ADP
ejpam-6923	7	22	more	more	ADV
ejpam-6923	7	23	precise	precise	ADJ
ejpam-6923	7	24	control	control	NOUN
ejpam-6923	7	25	strategies	strategy	NOUN
ejpam-6923	7	26	in	in	ADP
ejpam-6923	7	27	biochemical	biochemical	ADJ
ejpam-6923	7	28	systems	system	NOUN
ejpam-6923	7	29	.	.	PUNCT
ejpam-6923	8	1	2020	2020	NUM
ejpam-6923	8	2	mathematics	mathematic	NOUN
ejpam-6923	8	3	subject	subject	NOUN
ejpam-6923	8	4	classifications	classification	NOUN
ejpam-6923	8	5	:	:	PUNCT
ejpam-6923	8	6	26a33	26a33	NUM
ejpam-6923	8	7	,	,	PUNCT
ejpam-6923	8	8	34a08	34a08	NUM
ejpam-6923	8	9	,	,	PUNCT
ejpam-6923	8	10	03c65	03c65	NOUN
ejpam-6923	8	11	,	,	PUNCT
ejpam-6923	8	12	92b20	92b20	NUM
ejpam-6923	8	13	key	key	ADJ
ejpam-6923	8	14	words	word	NOUN
ejpam-6923	8	15	and	and	CCONJ
ejpam-6923	8	16	phrases	phrase	NOUN
ejpam-6923	8	17	:	:	PUNCT
ejpam-6923	8	18	enzymatic	enzymatic	ADJ
ejpam-6923	8	19	model	model	NOUN
ejpam-6923	8	20	,	,	PUNCT
ejpam-6923	8	21	qualitative	qualitative	ADJ
ejpam-6923	8	22	study	study	NOUN
ejpam-6923	8	23	,	,	PUNCT
ejpam-6923	8	24	approximate	approximate	ADJ
ejpam-6923	8	25	solution	solution	NOUN
ejpam-6923	8	26	,	,	PUNCT
ejpam-6923	8	27	neural	neural	ADJ
ejpam-6923	8	28	network	network	NOUN
ejpam-6923	8	29	validation	validation	NOUN
ejpam-6923	8	30	,	,	PUNCT
ejpam-6923	8	31	sensitivity	sensitivity	NOUN
ejpam-6923	8	32	analysis	analysis	NOUN
ejpam-6923	8	33	∗corresponding	∗corresponde	VERB
ejpam-6923	8	34	author	author	NOUN
ejpam-6923	8	35	.	.	PUNCT
ejpam-6923	9	1	doi	doi	NOUN
ejpam-6923	9	2	:	:	PUNCT
ejpam-6923	9	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6923	https://doi.org/10.29020/nybg.ejpam.v18i4.6923	PROPN
ejpam-6923	9	4	email	email	NOUN
ejpam-6923	9	5	addresses	address	NOUN
ejpam-6923	9	6	:	:	PUNCT
ejpam-6923	9	7	asma@cuisahiwal.edu.pk	asma@cuisahiwal.edu.pk	PROPN
ejpam-6923	9	8	(	(	PUNCT
ejpam-6923	9	9	asma	asma	PROPN
ejpam-6923	9	10	)	)	PUNCT
ejpam-6923	9	11	,	,	PUNCT
ejpam-6923	9	12	israrahmadjc503@gmail.com	israrahmadjc503@gmail.com	X
ejpam-6923	9	13	(	(	PUNCT
ejpam-6923	9	14	i.	i.	PROPN
ejpam-6923	9	15	ahmad	ahmad	PROPN
ejpam-6923	9	16	)	)	PUNCT
ejpam-6923	9	17	,	,	PUNCT
ejpam-6923	9	18	zeeshanalinsr@gmail.com	zeeshanalinsr@gmail.com	X
ejpam-6923	9	19	(	(	PUNCT
ejpam-6923	9	20	z.	z.	PROPN
ejpam-6923	9	21	ali	ali	PROPN
ejpam-6923	9	22	)	)	PUNCT
ejpam-6923	9	23	,	,	PUNCT
ejpam-6923	9	24	saowaluck.c@sci.kmutnb.ac.th	saowaluck.c@sci.kmutnb.ac.th	NOUN
ejpam-6923	9	25	(	(	PUNCT
ejpam-6923	9	26	s.	s.	PROPN
ejpam-6923	9	27	chasreechai	chasreechai	PROPN
ejpam-6923	9	28	)	)	PUNCT
ejpam-6923	9	29	,	,	PUNCT
ejpam-6923	9	30	thanin_sit@dusit.ac.th	thanin_sit@dusit.ac.th	NUM
ejpam-6923	9	31	(	(	PUNCT
ejpam-6923	9	32	t.	t.	NOUN
ejpam-6923	9	33	sitthiwirattham	sitthiwirattham	PROPN
ejpam-6923	9	34	)	)	PUNCT
ejpam-6923	9	35	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6923	10	1	1	1	NUM
ejpam-6923	10	2	copyright	copyright	NOUN
ejpam-6923	10	3	:	:	PUNCT
ejpam-6923	10	4	©	©	PROPN
ejpam-6923	10	5	2025	2025	NUM
ejpam-6923	10	6	the	the	DET
ejpam-6923	10	7	author(s	author(s	NOUN
ejpam-6923	10	8	)	)	PUNCT
ejpam-6923	10	9	.	.	PUNCT
ejpam-6923	11	1	(	(	PUNCT
ejpam-6923	11	2	cc	cc	NOUN
ejpam-6923	11	3	by	by	ADP
ejpam-6923	11	4	-	-	PUNCT
ejpam-6923	11	5	nc	nc	PROPN
ejpam-6923	11	6	4.0	4.0	NUM
ejpam-6923	11	7	)	)	PUNCT
ejpam-6923	11	8	asma	asma	PROPN
ejpam-6923	11	9	et	et	PROPN
ejpam-6923	11	10	al	al	PROPN
ejpam-6923	11	11	.	.	PUNCT
ejpam-6923	11	12	/	/	SYM
ejpam-6923	11	13	eur	eur	PROPN
ejpam-6923	11	14	.	.	PUNCT
ejpam-6923	12	1	j.	j.	PROPN
ejpam-6923	12	2	pure	pure	PROPN
ejpam-6923	12	3	appl	appl	PROPN
ejpam-6923	12	4	.	.	PROPN
ejpam-6923	12	5	math	math	PROPN
ejpam-6923	12	6	,	,	PUNCT
ejpam-6923	12	7	18	18	NUM
ejpam-6923	12	8	(	(	PUNCT
ejpam-6923	12	9	4	4	NUM
ejpam-6923	12	10	)	)	PUNCT
ejpam-6923	12	11	(	(	PUNCT
ejpam-6923	12	12	2025	2025	NUM
ejpam-6923	12	13	)	)	PUNCT
ejpam-6923	12	14	,	,	PUNCT
ejpam-6923	12	15	6923	6923	NUM
ejpam-6923	12	16	2	2	NUM
ejpam-6923	12	17	of	of	ADP
ejpam-6923	12	18	22	22	NUM
ejpam-6923	12	19	1	1	NUM
ejpam-6923	12	20	.	.	PUNCT
ejpam-6923	12	21	introduction	introduction	NOUN
ejpam-6923	12	22	the	the	DET
ejpam-6923	12	23	study	study	NOUN
ejpam-6923	12	24	of	of	ADP
ejpam-6923	12	25	enzymatic	enzymatic	ADJ
ejpam-6923	12	26	reactions	reaction	NOUN
ejpam-6923	12	27	is	be	AUX
ejpam-6923	12	28	central	central	ADJ
ejpam-6923	12	29	to	to	ADP
ejpam-6923	12	30	understanding	understand	VERB
ejpam-6923	12	31	the	the	DET
ejpam-6923	12	32	biochemical	biochemical	ADJ
ejpam-6923	12	33	processes	process	NOUN
ejpam-6923	12	34	that	that	PRON
ejpam-6923	12	35	regulate	regulate	VERB
ejpam-6923	12	36	physiological	physiological	ADJ
ejpam-6923	12	37	and	and	CCONJ
ejpam-6923	12	38	metabolic	metabolic	NOUN
ejpam-6923	12	39	activities	activity	NOUN
ejpam-6923	12	40	.	.	PUNCT
ejpam-6923	13	1	mathematical	mathematical	ADJ
ejpam-6923	13	2	modelling	modelling	NOUN
ejpam-6923	13	3	provides	provide	VERB
ejpam-6923	13	4	a	a	DET
ejpam-6923	13	5	systematic	systematic	ADJ
ejpam-6923	13	6	way	way	NOUN
ejpam-6923	13	7	to	to	PART
ejpam-6923	13	8	analyze	analyze	VERB
ejpam-6923	13	9	enzyme	enzyme	NOUN
ejpam-6923	13	10	kinetics	kinetic	NOUN
ejpam-6923	13	11	,	,	PUNCT
ejpam-6923	13	12	substrate	substrate	NOUN
ejpam-6923	13	13	dynamics	dynamic	NOUN
ejpam-6923	13	14	,	,	PUNCT
ejpam-6923	13	15	and	and	CCONJ
ejpam-6923	13	16	reaction	reaction	NOUN
ejpam-6923	13	17	efficiency	efficiency	NOUN
ejpam-6923	13	18	,	,	PUNCT
ejpam-6923	13	19	[	[	X
ejpam-6923	13	20	1–3	1–3	NOUN
ejpam-6923	13	21	]	]	PUNCT
ejpam-6923	13	22	.	.	PUNCT
ejpam-6923	14	1	classical	classical	ADJ
ejpam-6923	14	2	models	model	NOUN
ejpam-6923	14	3	based	base	VERB
ejpam-6923	14	4	on	on	ADP
ejpam-6923	14	5	integer	integer	NOUN
ejpam-6923	14	6	-	-	PUNCT
ejpam-6923	14	7	order	order	NOUN
ejpam-6923	14	8	differential	differential	ADJ
ejpam-6923	14	9	equations	equation	NOUN
ejpam-6923	14	10	have	have	AUX
ejpam-6923	14	11	been	be	AUX
ejpam-6923	14	12	widely	widely	ADV
ejpam-6923	14	13	used	use	VERB
ejpam-6923	14	14	,	,	PUNCT
ejpam-6923	14	15	but	but	CCONJ
ejpam-6923	14	16	they	they	PRON
ejpam-6923	14	17	often	often	ADV
ejpam-6923	14	18	fail	fail	VERB
ejpam-6923	14	19	to	to	PART
ejpam-6923	14	20	capture	capture	VERB
ejpam-6923	14	21	memory	memory	NOUN
ejpam-6923	14	22	effects	effect	NOUN
ejpam-6923	14	23	and	and	CCONJ
ejpam-6923	14	24	hereditary	hereditary	ADJ
ejpam-6923	14	25	properties	property	NOUN
ejpam-6923	14	26	inherent	inherent	ADJ
ejpam-6923	14	27	in	in	ADP
ejpam-6923	14	28	biochemical	biochemical	ADJ
ejpam-6923	14	29	systems	system	NOUN
ejpam-6923	14	30	,	,	PUNCT
ejpam-6923	15	1	[	[	X
ejpam-6923	15	2	4–6	4–6	X
ejpam-6923	15	3	]	]	X
ejpam-6923	15	4	.	.	PUNCT
ejpam-6923	16	1	these	these	DET
ejpam-6923	16	2	limitations	limitation	NOUN
ejpam-6923	16	3	motivate	motivate	VERB
ejpam-6923	16	4	the	the	DET
ejpam-6923	16	5	use	use	NOUN
ejpam-6923	16	6	of	of	ADP
ejpam-6923	16	7	generalized	generalized	ADJ
ejpam-6923	16	8	frameworks	framework	NOUN
ejpam-6923	16	9	such	such	ADJ
ejpam-6923	16	10	as	as	ADP
ejpam-6923	16	11	fractional	fractional	ADJ
ejpam-6923	16	12	calculus	calculus	NOUN
ejpam-6923	16	13	,	,	PUNCT
ejpam-6923	16	14	which	which	PRON
ejpam-6923	16	15	extends	extend	VERB
ejpam-6923	16	16	ordinary	ordinary	ADJ
ejpam-6923	16	17	calculus	calculus	NOUN
ejpam-6923	16	18	to	to	ADP
ejpam-6923	16	19	derivatives	derivative	NOUN
ejpam-6923	16	20	of	of	ADP
ejpam-6923	16	21	arbitrary	arbitrary	ADJ
ejpam-6923	16	22	order	order	NOUN
ejpam-6923	16	23	.	.	PUNCT
ejpam-6923	17	1	fractional	fractional	ADJ
ejpam-6923	17	2	-	-	PUNCT
ejpam-6923	17	3	order	order	NOUN
ejpam-6923	17	4	models	model	NOUN
ejpam-6923	17	5	allow	allow	VERB
ejpam-6923	17	6	the	the	DET
ejpam-6923	17	7	representation	representation	NOUN
ejpam-6923	17	8	of	of	ADP
ejpam-6923	17	9	long	long	ADJ
ejpam-6923	17	10	-	-	PUNCT
ejpam-6923	17	11	range	range	NOUN
ejpam-6923	17	12	memory	memory	NOUN
ejpam-6923	17	13	and	and	CCONJ
ejpam-6923	17	14	nonlocal	nonlocal	ADJ
ejpam-6923	17	15	interactions	interaction	NOUN
ejpam-6923	17	16	,	,	PUNCT
ejpam-6923	17	17	making	make	VERB
ejpam-6923	17	18	them	they	PRON
ejpam-6923	17	19	especially	especially	ADV
ejpam-6923	17	20	suitable	suitable	ADJ
ejpam-6923	17	21	for	for	ADP
ejpam-6923	17	22	systems	system	NOUN
ejpam-6923	17	23	with	with	ADP
ejpam-6923	17	24	complex	complex	ADJ
ejpam-6923	17	25	temporal	temporal	ADJ
ejpam-6923	17	26	dynamics	dynamic	NOUN
ejpam-6923	17	27	,	,	PUNCT
ejpam-6923	17	28	[	[	X
ejpam-6923	17	29	7–11	7–11	NOUN
ejpam-6923	17	30	]	]	PUNCT
ejpam-6923	17	31	.	.	PUNCT
ejpam-6923	18	1	recent	recent	ADJ
ejpam-6923	18	2	advances	advance	NOUN
ejpam-6923	18	3	in	in	ADP
ejpam-6923	18	4	fractional	fractional	ADJ
ejpam-6923	18	5	calculus	calculus	NOUN
ejpam-6923	18	6	have	have	AUX
ejpam-6923	18	7	introduced	introduce	VERB
ejpam-6923	18	8	several	several	ADJ
ejpam-6923	18	9	new	new	ADJ
ejpam-6923	18	10	derivative	derivative	ADJ
ejpam-6923	18	11	definitions	definition	NOUN
ejpam-6923	18	12	to	to	PART
ejpam-6923	18	13	improve	improve	VERB
ejpam-6923	18	14	the	the	DET
ejpam-6923	18	15	accuracy	accuracy	NOUN
ejpam-6923	18	16	and	and	CCONJ
ejpam-6923	18	17	applicability	applicability	NOUN
ejpam-6923	18	18	of	of	ADP
ejpam-6923	18	19	mathematical	mathematical	ADJ
ejpam-6923	18	20	models	model	NOUN
ejpam-6923	18	21	,	,	PUNCT
ejpam-6923	18	22	[	[	X
ejpam-6923	18	23	12–14	12–14	NUM
ejpam-6923	18	24	]	]	X
ejpam-6923	18	25	.	.	PUNCT
ejpam-6923	19	1	among	among	ADP
ejpam-6923	19	2	these	these	PRON
ejpam-6923	19	3	,	,	PUNCT
ejpam-6923	19	4	the	the	DET
ejpam-6923	19	5	atangana	atangana	PROPN
ejpam-6923	19	6	–	–	PUNCT
ejpam-6923	19	7	baleanu	baleanu	PROPN
ejpam-6923	19	8	–	–	PUNCT
ejpam-6923	19	9	caputo	caputo	PROPN
ejpam-6923	19	10	(	(	PUNCT
ejpam-6923	19	11	abc	abc	PROPN
ejpam-6923	19	12	)	)	PUNCT
ejpam-6923	19	13	derivative	derivative	NOUN
ejpam-6923	19	14	is	be	AUX
ejpam-6923	19	15	particularly	particularly	ADV
ejpam-6923	19	16	effective	effective	ADJ
ejpam-6923	19	17	due	due	ADP
ejpam-6923	19	18	to	to	ADP
ejpam-6923	19	19	its	its	PRON
ejpam-6923	19	20	non	non	ADJ
ejpam-6923	19	21	-	-	ADJ
ejpam-6923	19	22	singular	singular	ADJ
ejpam-6923	19	23	kernel	kernel	NOUN
ejpam-6923	19	24	and	and	CCONJ
ejpam-6923	19	25	exponentially	exponentially	ADV
ejpam-6923	19	26	decaying	decay	VERB
ejpam-6923	19	27	function	function	NOUN
ejpam-6923	19	28	,	,	PUNCT
ejpam-6923	19	29	which	which	PRON
ejpam-6923	19	30	provide	provide	VERB
ejpam-6923	19	31	numerical	numerical	ADJ
ejpam-6923	19	32	stability	stability	NOUN
ejpam-6923	19	33	and	and	CCONJ
ejpam-6923	19	34	a	a	DET
ejpam-6923	19	35	more	more	ADV
ejpam-6923	19	36	physically	physically	ADV
ejpam-6923	19	37	relevant	relevant	ADJ
ejpam-6923	19	38	description	description	NOUN
ejpam-6923	19	39	of	of	ADP
ejpam-6923	19	40	dynamical	dynamical	ADJ
ejpam-6923	19	41	processes	process	NOUN
ejpam-6923	19	42	.	.	PUNCT
ejpam-6923	20	1	this	this	PRON
ejpam-6923	20	2	makes	make	VERB
ejpam-6923	20	3	the	the	DET
ejpam-6923	20	4	abc	abc	PROPN
ejpam-6923	20	5	derivative	derivative	VERB
ejpam-6923	20	6	a	a	DET
ejpam-6923	20	7	natural	natural	ADJ
ejpam-6923	20	8	choice	choice	NOUN
ejpam-6923	20	9	for	for	ADP
ejpam-6923	20	10	modelling	model	VERB
ejpam-6923	20	11	enzymatic	enzymatic	ADJ
ejpam-6923	20	12	reactions	reaction	NOUN
ejpam-6923	20	13	,	,	PUNCT
ejpam-6923	20	14	where	where	SCONJ
ejpam-6923	20	15	both	both	PRON
ejpam-6923	20	16	local	local	ADJ
ejpam-6923	20	17	changes	change	NOUN
ejpam-6923	20	18	and	and	CCONJ
ejpam-6923	20	19	non	non	ADJ
ejpam-6923	20	20	-	-	ADJ
ejpam-6923	20	21	local	local	ADJ
ejpam-6923	20	22	interactions	interaction	NOUN
ejpam-6923	20	23	play	play	VERB
ejpam-6923	20	24	significant	significant	ADJ
ejpam-6923	20	25	roles	role	NOUN
ejpam-6923	20	26	,	,	PUNCT
ejpam-6923	20	27	[	[	X
ejpam-6923	20	28	15–17	15–17	NUM
ejpam-6923	20	29	]	]	PUNCT
ejpam-6923	20	30	.	.	PUNCT
ejpam-6923	21	1	in	in	ADP
ejpam-6923	21	2	this	this	DET
ejpam-6923	21	3	work	work	NOUN
ejpam-6923	21	4	,	,	PUNCT
ejpam-6923	21	5	we	we	PRON
ejpam-6923	21	6	develop	develop	VERB
ejpam-6923	21	7	an	an	DET
ejpam-6923	21	8	enzymatic	enzymatic	ADJ
ejpam-6923	21	9	reaction	reaction	NOUN
ejpam-6923	21	10	model	model	NOUN
ejpam-6923	21	11	using	use	VERB
ejpam-6923	21	12	the	the	DET
ejpam-6923	21	13	abc	abc	PROPN
ejpam-6923	21	14	derivative	derivative	NOUN
ejpam-6923	21	15	to	to	PART
ejpam-6923	21	16	enhance	enhance	VERB
ejpam-6923	21	17	the	the	DET
ejpam-6923	21	18	accuracy	accuracy	NOUN
ejpam-6923	21	19	of	of	ADP
ejpam-6923	21	20	classical	classical	ADJ
ejpam-6923	21	21	kinetic	kinetic	ADJ
ejpam-6923	21	22	frameworks	framework	NOUN
ejpam-6923	21	23	,	,	PUNCT
ejpam-6923	21	24	[	[	X
ejpam-6923	21	25	18	18	NUM
ejpam-6923	21	26	]	]	PUNCT
ejpam-6923	21	27	.	.	PUNCT
ejpam-6923	22	1	the	the	DET
ejpam-6923	22	2	existence	existence	NOUN
ejpam-6923	22	3	and	and	CCONJ
ejpam-6923	22	4	uniqueness	uniqueness	NOUN
ejpam-6923	22	5	of	of	ADP
ejpam-6923	22	6	solutions	solution	NOUN
ejpam-6923	22	7	are	be	AUX
ejpam-6923	22	8	established	establish	VERB
ejpam-6923	22	9	via	via	ADP
ejpam-6923	22	10	non	non	ADJ
ejpam-6923	22	11	-	-	ADJ
ejpam-6923	22	12	linear	linear	ADJ
ejpam-6923	22	13	functional	functional	ADJ
ejpam-6923	22	14	analysis	analysis	NOUN
ejpam-6923	22	15	,	,	PUNCT
ejpam-6923	22	16	while	while	SCONJ
ejpam-6923	22	17	approximate	approximate	ADJ
ejpam-6923	22	18	solutions	solution	NOUN
ejpam-6923	22	19	are	be	AUX
ejpam-6923	22	20	obtained	obtain	VERB
ejpam-6923	22	21	using	use	VERB
ejpam-6923	22	22	the	the	DET
ejpam-6923	22	23	laplace	laplace	NOUN
ejpam-6923	22	24	adomian	adomian	NOUN
ejpam-6923	22	25	decomposition	decomposition	NOUN
ejpam-6923	22	26	method	method	NOUN
ejpam-6923	22	27	(	(	PUNCT
ejpam-6923	22	28	ladm	ladm	PROPN
ejpam-6923	22	29	)	)	PUNCT
ejpam-6923	22	30	,	,	PUNCT
ejpam-6923	22	31	which	which	PRON
ejpam-6923	22	32	offers	offer	VERB
ejpam-6923	22	33	good	good	ADJ
ejpam-6923	22	34	computational	computational	ADJ
ejpam-6923	22	35	efficiency	efficiency	NOUN
ejpam-6923	22	36	,	,	PUNCT
ejpam-6923	22	37	[	[	X
ejpam-6923	22	38	19	19	NUM
ejpam-6923	22	39	]	]	PUNCT
ejpam-6923	22	40	.	.	PUNCT
ejpam-6923	23	1	a	a	DET
ejpam-6923	23	2	detailed	detailed	ADJ
ejpam-6923	23	3	sensitivity	sensitivity	NOUN
ejpam-6923	23	4	analysis	analysis	NOUN
ejpam-6923	23	5	with	with	ADP
ejpam-6923	23	6	respect	respect	NOUN
ejpam-6923	23	7	to	to	ADP
ejpam-6923	23	8	reaction	reaction	NOUN
ejpam-6923	23	9	rate	rate	NOUN
ejpam-6923	23	10	parameters	parameter	NOUN
ejpam-6923	23	11	highlights	highlight	VERB
ejpam-6923	23	12	their	their	PRON
ejpam-6923	23	13	influence	influence	NOUN
ejpam-6923	23	14	on	on	ADP
ejpam-6923	23	15	system	system	NOUN
ejpam-6923	23	16	dynamics	dynamic	NOUN
ejpam-6923	23	17	,	,	PUNCT
ejpam-6923	23	18	and	and	CCONJ
ejpam-6923	23	19	comprehensive	comprehensive	ADJ
ejpam-6923	23	20	2d	2d	NOUN
ejpam-6923	23	21	and	and	CCONJ
ejpam-6923	23	22	3d	3d	NUM
ejpam-6923	23	23	graphical	graphical	ADJ
ejpam-6923	23	24	results	result	NOUN
ejpam-6923	23	25	illustrate	illustrate	VERB
ejpam-6923	23	26	the	the	DET
ejpam-6923	23	27	role	role	NOUN
ejpam-6923	23	28	of	of	ADP
ejpam-6923	23	29	fractional	fractional	ADJ
ejpam-6923	23	30	differentiation	differentiation	NOUN
ejpam-6923	23	31	in	in	ADP
ejpam-6923	23	32	enzymatic	enzymatic	ADJ
ejpam-6923	23	33	kinetics	kinetic	NOUN
ejpam-6923	23	34	.	.	PUNCT
ejpam-6923	24	1	overall	overall	ADV
ejpam-6923	24	2	,	,	PUNCT
ejpam-6923	24	3	this	this	DET
ejpam-6923	24	4	study	study	NOUN
ejpam-6923	24	5	demonstrates	demonstrate	VERB
ejpam-6923	24	6	that	that	SCONJ
ejpam-6923	24	7	fractional	fractional	ADJ
ejpam-6923	24	8	-	-	PUNCT
ejpam-6923	24	9	order	order	NOUN
ejpam-6923	24	10	modelling	modelling	NOUN
ejpam-6923	24	11	provides	provide	VERB
ejpam-6923	24	12	a	a	DET
ejpam-6923	24	13	refined	refined	ADJ
ejpam-6923	24	14	and	and	CCONJ
ejpam-6923	24	15	flexible	flexible	ADJ
ejpam-6923	24	16	framework	framework	NOUN
ejpam-6923	24	17	for	for	ADP
ejpam-6923	24	18	enzyme	enzyme	NOUN
ejpam-6923	24	19	kinetics	kinetic	NOUN
ejpam-6923	24	20	.	.	PUNCT
ejpam-6923	25	1	by	by	ADP
ejpam-6923	25	2	incorporating	incorporate	VERB
ejpam-6923	25	3	memory	memory	NOUN
ejpam-6923	25	4	and	and	CCONJ
ejpam-6923	25	5	non	non	ADJ
ejpam-6923	25	6	-	-	ADJ
ejpam-6923	25	7	local	local	ADJ
ejpam-6923	25	8	effects	effect	NOUN
ejpam-6923	25	9	,	,	PUNCT
ejpam-6923	25	10	the	the	DET
ejpam-6923	25	11	abc	abc	PROPN
ejpam-6923	25	12	-	-	PUNCT
ejpam-6923	25	13	based	base	VERB
ejpam-6923	25	14	model	model	NOUN
ejpam-6923	25	15	yields	yield	NOUN
ejpam-6923	25	16	improved	improve	VERB
ejpam-6923	25	17	predictive	predictive	ADJ
ejpam-6923	25	18	power	power	NOUN
ejpam-6923	25	19	and	and	CCONJ
ejpam-6923	25	20	control	control	NOUN
ejpam-6923	25	21	strategies	strategy	NOUN
ejpam-6923	25	22	for	for	ADP
ejpam-6923	25	23	biochemical	biochemical	ADJ
ejpam-6923	25	24	and	and	CCONJ
ejpam-6923	25	25	pharmaceutical	pharmaceutical	NOUN
ejpam-6923	25	26	processes	process	NOUN
ejpam-6923	25	27	.	.	PUNCT
ejpam-6923	26	1	these	these	DET
ejpam-6923	26	2	findings	finding	NOUN
ejpam-6923	26	3	open	open	VERB
ejpam-6923	26	4	new	new	ADJ
ejpam-6923	26	5	avenues	avenue	NOUN
ejpam-6923	26	6	for	for	ADP
ejpam-6923	26	7	applications	application	NOUN
ejpam-6923	26	8	in	in	ADP
ejpam-6923	26	9	metabolic	metabolic	NOUN
ejpam-6923	26	10	engineering	engineering	NOUN
ejpam-6923	26	11	,	,	PUNCT
ejpam-6923	26	12	drug	drug	NOUN
ejpam-6923	26	13	development	development	NOUN
ejpam-6923	26	14	,	,	PUNCT
ejpam-6923	26	15	and	and	CCONJ
ejpam-6923	26	16	biotechnology	biotechnology	NOUN
ejpam-6923	26	17	,	,	PUNCT
ejpam-6923	26	18	and	and	CCONJ
ejpam-6923	26	19	suggest	suggest	VERB
ejpam-6923	26	20	promising	promising	ADJ
ejpam-6923	26	21	directions	direction	NOUN
ejpam-6923	26	22	for	for	ADP
ejpam-6923	26	23	future	future	ADJ
ejpam-6923	26	24	research	research	NOUN
ejpam-6923	26	25	in	in	ADP
ejpam-6923	26	26	biochemical	biochemical	ADJ
ejpam-6923	26	27	systems	system	NOUN
ejpam-6923	26	28	.	.	PUNCT
ejpam-6923	27	1	one	one	PRON
ejpam-6923	27	2	can	can	AUX
ejpam-6923	27	3	show	show	VERB
ejpam-6923	27	4	the	the	DET
ejpam-6923	27	5	basic	basic	ADJ
ejpam-6923	27	6	enzymatic	enzymatic	ADJ
ejpam-6923	27	7	reaction	reaction	NOUN
ejpam-6923	27	8	schematically	schematically	NOUN
ejpam-6923	27	9	as	as	SCONJ
ejpam-6923	27	10	given	give	VERB
ejpam-6923	27	11	as	as	SCONJ
ejpam-6923	27	12	follows	follow	VERB
ejpam-6923	27	13	in	in	ADP
ejpam-6923	27	14	figure	figure	NOUN
ejpam-6923	27	15	1	1	NUM
ejpam-6923	27	16	:	:	PUNCT
ejpam-6923	27	17	figure	figure	NOUN
ejpam-6923	27	18	1	1	NUM
ejpam-6923	27	19	:	:	PUNCT
ejpam-6923	27	20	schematic	schematic	ADJ
ejpam-6923	27	21	diagram	diagram	NOUN
ejpam-6923	27	22	of	of	ADP
ejpam-6923	27	23	basic	basic	ADJ
ejpam-6923	27	24	enzymatic	enzymatic	ADJ
ejpam-6923	27	25	reaction	reaction	NOUN
ejpam-6923	27	26	.	.	PUNCT
ejpam-6923	28	1	asma	asma	PROPN
ejpam-6923	28	2	et	et	PROPN
ejpam-6923	28	3	al	al	PROPN
ejpam-6923	28	4	.	.	PUNCT
ejpam-6923	28	5	/	/	SYM
ejpam-6923	28	6	eur	eur	PROPN
ejpam-6923	28	7	.	.	PUNCT
ejpam-6923	29	1	j.	j.	PROPN
ejpam-6923	29	2	pure	pure	PROPN
ejpam-6923	29	3	appl	appl	PROPN
ejpam-6923	29	4	.	.	PROPN
ejpam-6923	29	5	math	math	PROPN
ejpam-6923	29	6	,	,	PUNCT
ejpam-6923	29	7	18	18	NUM
ejpam-6923	29	8	(	(	PUNCT
ejpam-6923	29	9	4	4	NUM
ejpam-6923	29	10	)	)	PUNCT
ejpam-6923	29	11	(	(	PUNCT
ejpam-6923	29	12	2025	2025	NUM
ejpam-6923	29	13	)	)	PUNCT
ejpam-6923	29	14	,	,	PUNCT
ejpam-6923	29	15	6923	6923	NUM
ejpam-6923	29	16	3	3	NUM
ejpam-6923	29	17	of	of	ADP
ejpam-6923	29	18	22	22	NUM
ejpam-6923	29	19	a	a	DET
ejpam-6923	29	20	system	system	NOUN
ejpam-6923	29	21	of	of	ADP
ejpam-6923	29	22	differential	differential	ADJ
ejpam-6923	29	23	equations	equation	NOUN
ejpam-6923	29	24	for	for	ADP
ejpam-6923	29	25	the	the	DET
ejpam-6923	29	26	preceding	precede	VERB
ejpam-6923	29	27	reaction	reaction	NOUN
ejpam-6923	29	28	is	be	AUX
ejpam-6923	29	29	given	give	VERB
ejpam-6923	29	30	as	as	SCONJ
ejpam-6923	29	31	follows	follow	VERB
ejpam-6923	29	32	,	,	PUNCT
ejpam-6923	29	33	[	[	X
ejpam-6923	29	34	20]:	20]:	NUM
ejpam-6923	29	35	ds(t	ds(t	NOUN
ejpam-6923	29	36	)	)	PUNCT
ejpam-6923	29	37	dt	dt	PUNCT
ejpam-6923	30	1	=	=	SYM
ejpam-6923	30	2	βc(t)−	βc(t)−	PROPN
ejpam-6923	30	3	αe(t)s(t	αe(t)s(t	PROPN
ejpam-6923	30	4	)	)	PUNCT
ejpam-6923	30	5	,	,	PUNCT
ejpam-6923	30	6	de(t	de(t	X
ejpam-6923	30	7	)	)	PUNCT
ejpam-6923	30	8	dt	dt	NOUN
ejpam-6923	30	9	=	=	PUNCT
ejpam-6923	31	1	(	(	PUNCT
ejpam-6923	31	2	β	β	X
ejpam-6923	31	3	+	+	CCONJ
ejpam-6923	31	4	γ)c(t)−	γ)c(t)−	NUM
ejpam-6923	31	5	αe(t)s(t	αe(t)s(t	NOUN
ejpam-6923	31	6	)	)	PUNCT
ejpam-6923	31	7	,	,	PUNCT
ejpam-6923	31	8	dc(t	dc(t	NOUN
ejpam-6923	31	9	)	)	PUNCT
ejpam-6923	31	10	dt	dt	NOUN
ejpam-6923	32	1	=	=	SYM
ejpam-6923	32	2	αe(t)s(t)−	αe(t)s(t)−	PROPN
ejpam-6923	32	3	(	(	PUNCT
ejpam-6923	32	4	β	β	X
ejpam-6923	32	5	+	+	X
ejpam-6923	32	6	γ)c(t	γ)c(t	NOUN
ejpam-6923	32	7	)	)	PUNCT
ejpam-6923	32	8	,	,	PUNCT
ejpam-6923	32	9	dp	dp	PROPN
ejpam-6923	32	10	(	(	PUNCT
ejpam-6923	32	11	t	t	NOUN
ejpam-6923	32	12	)	)	PUNCT
ejpam-6923	32	13	dt	dt	NOUN
ejpam-6923	32	14	=	=	PUNCT
ejpam-6923	32	15	γc(t	γc(t	NUM
ejpam-6923	32	16	)	)	PUNCT
ejpam-6923	32	17	,	,	PUNCT
ejpam-6923	32	18	s(0	s(0	PROPN
ejpam-6923	32	19	)	)	PUNCT
ejpam-6923	32	20	=	=	SYM
ejpam-6923	32	21	s0	s0	PROPN
ejpam-6923	32	22	,	,	PUNCT
ejpam-6923	32	23	e(0	e(0	NOUN
ejpam-6923	32	24	)	)	PUNCT
ejpam-6923	32	25	=	=	SYM
ejpam-6923	32	26	e0	e0	PROPN
ejpam-6923	32	27	,	,	PUNCT
ejpam-6923	32	28	c(0	c(0	NOUN
ejpam-6923	32	29	)	)	PUNCT
ejpam-6923	32	30	=	=	SYM
ejpam-6923	32	31	c0	c0	NOUN
ejpam-6923	32	32	,	,	PUNCT
ejpam-6923	32	33	p	p	X
ejpam-6923	32	34	(	(	PUNCT
ejpam-6923	32	35	0	0	NUM
ejpam-6923	32	36	)	)	PUNCT
ejpam-6923	32	37	=	=	SYM
ejpam-6923	33	1	p	p	NOUN
ejpam-6923	33	2	0	0	NUM
ejpam-6923	33	3	.	.	PUNCT
ejpam-6923	34	1	(	(	PUNCT
ejpam-6923	34	2	1	1	X
ejpam-6923	34	3	)	)	PUNCT
ejpam-6923	34	4	where	where	SCONJ
ejpam-6923	34	5	•	•	NOUN
ejpam-6923	34	6	s(t	s(t	PROPN
ejpam-6923	34	7	)	)	PUNCT
ejpam-6923	34	8	represents	represent	VERB
ejpam-6923	34	9	substrate	substrate	NOUN
ejpam-6923	34	10	concentration	concentration	NOUN
ejpam-6923	34	11	.	.	PUNCT
ejpam-6923	35	1	•	•	NUM
ejpam-6923	35	2	e(t	e(t	NOUN
ejpam-6923	35	3	)	)	PUNCT
ejpam-6923	35	4	represents	represent	VERB
ejpam-6923	35	5	enzyme	enzyme	NOUN
ejpam-6923	35	6	concentration	concentration	NOUN
ejpam-6923	35	7	.	.	PUNCT
ejpam-6923	36	1	•	•	NUM
ejpam-6923	36	2	c(t	c(t	PROPN
ejpam-6923	36	3	)	)	PUNCT
ejpam-6923	36	4	represents	represent	VERB
ejpam-6923	36	5	complex	complex	ADJ
ejpam-6923	36	6	enzyme	enzyme	NOUN
ejpam-6923	36	7	-	-	PUNCT
ejpam-6923	36	8	substrate	substrate	NOUN
ejpam-6923	36	9	concentration	concentration	NOUN
ejpam-6923	36	10	.	.	PUNCT
ejpam-6923	37	1	•	•	NUM
ejpam-6923	37	2	p	p	X
ejpam-6923	37	3	(	(	PUNCT
ejpam-6923	37	4	t	t	NOUN
ejpam-6923	37	5	)	)	PUNCT
ejpam-6923	37	6	represents	represent	VERB
ejpam-6923	37	7	product	product	NOUN
ejpam-6923	37	8	concentration	concentration	NOUN
ejpam-6923	37	9	,	,	PUNCT
ejpam-6923	37	10	while	while	SCONJ
ejpam-6923	37	11	α	α	PRON
ejpam-6923	37	12	,	,	PUNCT
ejpam-6923	37	13	β	β	X
ejpam-6923	37	14	γ	γ	NOUN
ejpam-6923	37	15	are	be	AUX
ejpam-6923	37	16	constant	constant	ADJ
ejpam-6923	37	17	associated	associate	VERB
ejpam-6923	37	18	with	with	ADP
ejpam-6923	37	19	rates	rate	NOUN
ejpam-6923	37	20	of	of	ADP
ejpam-6923	37	21	reaction	reaction	NOUN
ejpam-6923	37	22	.	.	PUNCT
ejpam-6923	38	1	applying	apply	VERB
ejpam-6923	38	2	the	the	DET
ejpam-6923	38	3	abc	abc	PROPN
ejpam-6923	38	4	derivative	derivative	NOUN
ejpam-6923	38	5	to	to	ADP
ejpam-6923	38	6	the	the	DET
ejpam-6923	38	7	system	system	NOUN
ejpam-6923	38	8	(	(	PUNCT
ejpam-6923	38	9	1	1	NUM
ejpam-6923	38	10	)	)	PUNCT
ejpam-6923	38	11	,	,	PUNCT
ejpam-6923	38	12	we	we	PRON
ejpam-6923	38	13	obtain	obtain	VERB
ejpam-6923	38	14	our	our	PRON
ejpam-6923	38	15	concerned	concerned	ADJ
ejpam-6923	38	16	problem:	problem:	ADJ
ejpam-6923	38	17	dθ	dθ	PROPN
ejpam-6923	38	18	0,ts(t	0,ts(t	NOUN
ejpam-6923	38	19	)	)	PUNCT
ejpam-6923	39	1	=	=	SYM
ejpam-6923	39	2	βc(t)−	βc(t)−	PROPN
ejpam-6923	39	3	αs(t)e(t	αs(t)e(t	ADV
ejpam-6923	39	4	)	)	PUNCT
ejpam-6923	39	5	,	,	PUNCT
ejpam-6923	39	6	dθ	dθ	PROPN
ejpam-6923	39	7	0,te(t	0,te(t	PROPN
ejpam-6923	39	8	)	)	PUNCT
ejpam-6923	39	9	=	=	SYM
ejpam-6923	40	1	(	(	PUNCT
ejpam-6923	40	2	β	β	X
ejpam-6923	40	3	+	+	NUM
ejpam-6923	40	4	γ)c(t)−	γ)c(t)−	PROPN
ejpam-6923	40	5	αs(t)e(t	αs(t)e(t	ADV
ejpam-6923	40	6	)	)	PUNCT
ejpam-6923	40	7	,	,	PUNCT
ejpam-6923	40	8	dθ	dθ	PROPN
ejpam-6923	40	9	0,tc(t	0,tc(t	PROPN
ejpam-6923	40	10	)	)	PUNCT
ejpam-6923	41	1	=	=	SYM
ejpam-6923	41	2	αs(t)e(t)−	αs(t)e(t)−	PROPN
ejpam-6923	41	3	(	(	PUNCT
ejpam-6923	41	4	β	β	X
ejpam-6923	41	5	+	+	X
ejpam-6923	41	6	γ)c(t	γ)c(t	NOUN
ejpam-6923	41	7	)	)	PUNCT
ejpam-6923	41	8	,	,	PUNCT
ejpam-6923	42	1	dθ	dθ	PROPN
ejpam-6923	42	2	0,tp	0,tp	PROPN
ejpam-6923	42	3	(	(	PUNCT
ejpam-6923	42	4	t	t	NOUN
ejpam-6923	42	5	)	)	PUNCT
ejpam-6923	42	6	=	=	SYM
ejpam-6923	42	7	γc(t	γc(t	NUM
ejpam-6923	42	8	)	)	PUNCT
ejpam-6923	42	9	,	,	PUNCT
ejpam-6923	42	10	s(0	s(0	PROPN
ejpam-6923	42	11	)	)	PUNCT
ejpam-6923	42	12	=	=	SYM
ejpam-6923	42	13	s0	s0	PROPN
ejpam-6923	42	14	,	,	PUNCT
ejpam-6923	42	15	e(0	e(0	NOUN
ejpam-6923	42	16	)	)	PUNCT
ejpam-6923	42	17	=	=	SYM
ejpam-6923	42	18	e0	e0	PROPN
ejpam-6923	42	19	,	,	PUNCT
ejpam-6923	42	20	c(0	c(0	NOUN
ejpam-6923	42	21	)	)	PUNCT
ejpam-6923	42	22	=	=	SYM
ejpam-6923	42	23	c0	c0	NOUN
ejpam-6923	42	24	,	,	PUNCT
ejpam-6923	42	25	p	p	X
ejpam-6923	42	26	(	(	PUNCT
ejpam-6923	42	27	0	0	NUM
ejpam-6923	42	28	)	)	PUNCT
ejpam-6923	42	29	=	=	SYM
ejpam-6923	43	1	p	p	NOUN
ejpam-6923	43	2	0	0	NUM
ejpam-6923	43	3	.	.	PUNCT
ejpam-6923	44	1	(	(	PUNCT
ejpam-6923	44	2	2	2	X
ejpam-6923	44	3	)	)	PUNCT
ejpam-6923	44	4	the	the	DET
ejpam-6923	44	5	flowchart	flowchart	NOUN
ejpam-6923	44	6	of	of	ADP
ejpam-6923	44	7	the	the	DET
ejpam-6923	44	8	specified	specified	ADJ
ejpam-6923	44	9	model	model	NOUN
ejpam-6923	44	10	(	(	PUNCT
ejpam-6923	44	11	2	2	NUM
ejpam-6923	44	12	)	)	PUNCT
ejpam-6923	44	13	,	,	PUNCT
ejpam-6923	44	14	is	be	AUX
ejpam-6923	44	15	given	give	VERB
ejpam-6923	44	16	as	as	SCONJ
ejpam-6923	44	17	follows	follow	VERB
ejpam-6923	44	18	:	:	PUNCT
ejpam-6923	44	19	asma	asma	PROPN
ejpam-6923	44	20	et	et	PROPN
ejpam-6923	44	21	al	al	PROPN
ejpam-6923	44	22	.	.	PUNCT
ejpam-6923	44	23	/	/	SYM
ejpam-6923	44	24	eur	eur	PROPN
ejpam-6923	44	25	.	.	PUNCT
ejpam-6923	45	1	j.	j.	PROPN
ejpam-6923	45	2	pure	pure	PROPN
ejpam-6923	45	3	appl	appl	PROPN
ejpam-6923	45	4	.	.	PROPN
ejpam-6923	45	5	math	math	PROPN
ejpam-6923	45	6	,	,	PUNCT
ejpam-6923	45	7	18	18	NUM
ejpam-6923	45	8	(	(	PUNCT
ejpam-6923	45	9	4	4	NUM
ejpam-6923	45	10	)	)	PUNCT
ejpam-6923	45	11	(	(	PUNCT
ejpam-6923	45	12	2025	2025	NUM
ejpam-6923	45	13	)	)	PUNCT
ejpam-6923	45	14	,	,	PUNCT
ejpam-6923	45	15	6923	6923	NUM
ejpam-6923	45	16	4	4	NUM
ejpam-6923	45	17	of	of	ADP
ejpam-6923	45	18	22	22	NUM
ejpam-6923	45	19	s	s	NOUN
ejpam-6923	45	20	c	c	NOUN
ejpam-6923	45	21	e	e	X
ejpam-6923	45	22	p	p	X
ejpam-6923	45	23	(	(	PUNCT
ejpam-6923	45	24	β+γ)c	β+γ)c	INTJ
ejpam-6923	45	25	αse	αse	INTJ
ejpam-6923	45	26	βc	βc	INTJ
ejpam-6923	45	27	αse	αse	INTJ
ejpam-6923	45	28	βc	βc	INTJ
ejpam-6923	45	29	figure	figure	VERB
ejpam-6923	45	30	2	2	NUM
ejpam-6923	45	31	:	:	PUNCT
ejpam-6923	45	32	flowchart	flowchart	NOUN
ejpam-6923	45	33	representation	representation	NOUN
ejpam-6923	45	34	for	for	ADP
ejpam-6923	45	35	model	model	NOUN
ejpam-6923	45	36	(	(	PUNCT
ejpam-6923	45	37	2	2	NUM
ejpam-6923	45	38	)	)	PUNCT
ejpam-6923	45	39	.	.	PUNCT
ejpam-6923	46	1	2	2	X
ejpam-6923	46	2	.	.	X
ejpam-6923	46	3	preliminaries	preliminary	NOUN
ejpam-6923	46	4	the	the	DET
ejpam-6923	46	5	present	present	ADJ
ejpam-6923	46	6	section	section	NOUN
ejpam-6923	46	7	defines	define	VERB
ejpam-6923	46	8	the	the	DET
ejpam-6923	46	9	basic	basic	ADJ
ejpam-6923	46	10	tools	tool	NOUN
ejpam-6923	46	11	that	that	PRON
ejpam-6923	46	12	are	be	AUX
ejpam-6923	46	13	required	require	VERB
ejpam-6923	46	14	for	for	ADP
ejpam-6923	46	15	our	our	PRON
ejpam-6923	46	16	work	work	NOUN
ejpam-6923	46	17	.	.	PUNCT
ejpam-6923	47	1	we	we	PRON
ejpam-6923	47	2	create	create	VERB
ejpam-6923	47	3	a	a	DET
ejpam-6923	47	4	banach	banach	NOUN
ejpam-6923	47	5	space	space	NOUN
ejpam-6923	47	6	(	(	PUNCT
ejpam-6923	47	7	w	w	NOUN
ejpam-6923	47	8	,	,	PUNCT
ejpam-6923	47	9	||.||	||.||	NOUN
ejpam-6923	47	10	)	)	PUNCT
ejpam-6923	47	11	,	,	PUNCT
ejpam-6923	47	12	with	with	ADP
ejpam-6923	47	13	norm	norm	NOUN
ejpam-6923	47	14	‖z‖	‖z‖	PROPN
ejpam-6923	47	15	=	=	SYM
ejpam-6923	47	16	max	max	PROPN
ejpam-6923	47	17	t∈j	t∈j	NOUN
ejpam-6923	47	18	∣∣z(t)∣∣	∣∣z(t)∣∣	NOUN
ejpam-6923	47	19	,	,	PUNCT
ejpam-6923	47	20	where	where	SCONJ
ejpam-6923	47	21	t	t	PROPN
ejpam-6923	47	22	∈	∈	PROPN
ejpam-6923	48	1	[	[	X
ejpam-6923	48	2	0	0	NUM
ejpam-6923	48	3	,	,	PUNCT
ejpam-6923	48	4	η	η	NOUN
ejpam-6923	48	5	]	]	X
ejpam-6923	48	6	=	=	SYM
ejpam-6923	48	7	j	j	PROPN
ejpam-6923	48	8	.	.	PUNCT
ejpam-6923	49	1	consequently	consequently	ADV
ejpam-6923	49	2	w4	w4	PROPN
ejpam-6923	49	3	is	be	AUX
ejpam-6923	49	4	a	a	DET
ejpam-6923	49	5	banach	banach	NOUN
ejpam-6923	49	6	space	space	NOUN
ejpam-6923	49	7	with	with	ADP
ejpam-6923	49	8	norm	norm	NOUN
ejpam-6923	49	9	||(s	||(s	NOUN
ejpam-6923	49	10	,	,	PUNCT
ejpam-6923	49	11	e	e	NOUN
ejpam-6923	49	12	,	,	PUNCT
ejpam-6923	49	13	c	c	X
ejpam-6923	49	14	,	,	PUNCT
ejpam-6923	49	15	p	p	NOUN
ejpam-6923	49	16	)	)	PUNCT
ejpam-6923	49	17	||	||	PUNCT
ejpam-6923	50	1	=	=	PUNCT
ejpam-6923	50	2	max	max	PROPN
ejpam-6923	50	3	t∈j	t∈j	NOUN
ejpam-6923	50	4	{	{	PUNCT
ejpam-6923	50	5	||s||	||s||	ADJ
ejpam-6923	50	6	,	,	PUNCT
ejpam-6923	50	7	||e||	||e||	ADJ
ejpam-6923	50	8	,	,	PUNCT
ejpam-6923	50	9	||c||	||c||	PROPN
ejpam-6923	50	10	,	,	PUNCT
ejpam-6923	50	11	||p	||p	PROPN
ejpam-6923	50	12	||	||	NUM
ejpam-6923	50	13	}	}	PUNCT
ejpam-6923	50	14	.	.	PUNCT
ejpam-6923	51	1	definition	definition	NOUN
ejpam-6923	51	2	1	1	NUM
ejpam-6923	51	3	.	.	PUNCT
ejpam-6923	52	1	[	[	X
ejpam-6923	52	2	21	21	NUM
ejpam-6923	52	3	]	]	PUNCT
ejpam-6923	52	4	for	for	ADP
ejpam-6923	52	5	θ	θ	PROPN
ejpam-6923	52	6	∈	∈	PROPN
ejpam-6923	52	7	(	(	PUNCT
ejpam-6923	52	8	0	0	NUM
ejpam-6923	52	9	,	,	PUNCT
ejpam-6923	52	10	1	1	NUM
ejpam-6923	52	11	]	]	PUNCT
ejpam-6923	52	12	,	,	PUNCT
ejpam-6923	52	13	the	the	DET
ejpam-6923	52	14	abc	abc	PROPN
ejpam-6923	52	15	derivative	derivative	NOUN
ejpam-6923	52	16	to	to	ADP
ejpam-6923	52	17	a	a	DET
ejpam-6923	52	18	function	function	NOUN
ejpam-6923	52	19	z	z	PROPN
ejpam-6923	52	20	∈	∈	PROPN
ejpam-6923	52	21	h1(0	h1(0	PROPN
ejpam-6923	52	22	,	,	PUNCT
ejpam-6923	52	23	η	η	PROPN
ejpam-6923	52	24	)	)	PUNCT
ejpam-6923	52	25	is	be	AUX
ejpam-6923	52	26	denoted	denote	VERB
ejpam-6923	52	27	as	as	SCONJ
ejpam-6923	52	28	follows	follow	VERB
ejpam-6923	52	29	:	:	PUNCT
ejpam-6923	52	30	dθ	dθ	PROPN
ejpam-6923	52	31	0,tz(t	0,tz(t	PROPN
ejpam-6923	52	32	)	)	PUNCT
ejpam-6923	52	33	=	=	SYM
ejpam-6923	52	34	m(θ	m(θ	PROPN
ejpam-6923	52	35	)	)	PUNCT
ejpam-6923	52	36	(	(	PUNCT
ejpam-6923	52	37	1−	1−	NUM
ejpam-6923	52	38	θ	θ	NOUN
ejpam-6923	52	39	)	)	PUNCT
ejpam-6923	52	40	∫	∫	PROPN
ejpam-6923	52	41	t	t	NOUN
ejpam-6923	52	42	0	0	NUM
ejpam-6923	53	1	z′(κ)eθ	z′(κ)eθ	PROPN
ejpam-6923	53	2	(	(	PUNCT
ejpam-6923	53	3	(	(	PUNCT
ejpam-6923	53	4	t−	t−	PROPN
ejpam-6923	53	5	κ)θθ	κ)θθ	PROPN
ejpam-6923	53	6	θ	θ	PROPN
ejpam-6923	54	1	−	−	NUM
ejpam-6923	54	2	1	1	NUM
ejpam-6923	54	3	)	)	PUNCT
ejpam-6923	54	4	dκ	dκ	PROPN
ejpam-6923	54	5	.	.	PUNCT
ejpam-6923	54	6	where	where	SCONJ
ejpam-6923	54	7	m(θ	m(θ	NOUN
ejpam-6923	54	8	)	)	PUNCT
ejpam-6923	54	9	is	be	AUX
ejpam-6923	54	10	normalization	normalization	NOUN
ejpam-6923	54	11	and	and	CCONJ
ejpam-6923	54	12	eθ	eθ	PRON
ejpam-6923	54	13	represent	represent	VERB
ejpam-6923	54	14	mittag	mittag	ADJ
ejpam-6923	54	15	-	-	PUNCT
ejpam-6923	54	16	leffler	leffler	NOUN
ejpam-6923	54	17	functions	function	NOUN
ejpam-6923	54	18	.	.	PUNCT
ejpam-6923	55	1	definition	definition	NOUN
ejpam-6923	55	2	2	2	NUM
ejpam-6923	55	3	.	.	PUNCT
ejpam-6923	56	1	[	[	X
ejpam-6923	56	2	21	21	NUM
ejpam-6923	56	3	]	]	PUNCT
ejpam-6923	56	4	consider	consider	VERB
ejpam-6923	56	5	for	for	ADP
ejpam-6923	56	6	an	an	DET
ejpam-6923	56	7	order	order	NOUN
ejpam-6923	56	8	θ	θ	X
ejpam-6923	56	9	∈	∈	PROPN
ejpam-6923	56	10	(	(	PUNCT
ejpam-6923	56	11	0	0	NUM
ejpam-6923	56	12	,	,	PUNCT
ejpam-6923	56	13	1	1	NUM
ejpam-6923	56	14	]	]	PUNCT
ejpam-6923	56	15	,	,	PUNCT
ejpam-6923	56	16	and	and	CCONJ
ejpam-6923	56	17	z	z	PROPN
ejpam-6923	56	18	∈	∈	PROPN
ejpam-6923	56	19	h1(0	h1(0	PROPN
ejpam-6923	56	20	,	,	PUNCT
ejpam-6923	56	21	η	η	PROPN
ejpam-6923	56	22	)	)	PUNCT
ejpam-6923	56	23	,	,	PUNCT
ejpam-6923	56	24	then	then	ADV
ejpam-6923	56	25	the	the	DET
ejpam-6923	56	26	fractional	fractional	ADJ
ejpam-6923	56	27	integral	integral	NOUN
ejpam-6923	56	28	is	be	AUX
ejpam-6923	56	29	expressed	express	VERB
ejpam-6923	56	30	as	as	SCONJ
ejpam-6923	56	31	follows	follow	VERB
ejpam-6923	56	32	i0,tz(t	i0,tz(t	PRON
ejpam-6923	56	33	)	)	PUNCT
ejpam-6923	56	34	=	=	SYM
ejpam-6923	56	35	(	(	PUNCT
ejpam-6923	56	36	1−	1−	NUM
ejpam-6923	56	37	θ)z(t	θ)z(t	NOUN
ejpam-6923	56	38	)	)	PUNCT
ejpam-6923	56	39	m(θ	m(θ	PROPN
ejpam-6923	56	40	)	)	PUNCT
ejpam-6923	57	1	+	+	NUM
ejpam-6923	57	2	θ	θ	PROPN
ejpam-6923	57	3	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	57	4	)	)	PUNCT
ejpam-6923	57	5	∫	∫	PROPN
ejpam-6923	57	6	t	t	PROPN
ejpam-6923	57	7	0	0	NUM
ejpam-6923	57	8	(	(	PUNCT
ejpam-6923	57	9	t−	t−	PROPN
ejpam-6923	57	10	κ)θ−1z(κ)dκ	κ)θ−1z(κ)dκ	PROPN
ejpam-6923	57	11	.	.	PUNCT
ejpam-6923	58	1	lemma	lemma	PROPN
ejpam-6923	58	2	1	1	NUM
ejpam-6923	58	3	.	.	PUNCT
ejpam-6923	59	1	[	[	X
ejpam-6923	59	2	21	21	NUM
ejpam-6923	59	3	]	]	X
ejpam-6923	59	4	the	the	DET
ejpam-6923	59	5	solution	solution	NOUN
ejpam-6923	59	6	of	of	ADP
ejpam-6923	59	7	the	the	DET
ejpam-6923	59	8	differential	differential	ADJ
ejpam-6923	59	9	equation	equation	NOUN
ejpam-6923	59	10	below	below	ADV
ejpam-6923	59	11	,	,	PUNCT
ejpam-6923	59	12	having	have	VERB
ejpam-6923	59	13	the	the	DET
ejpam-6923	59	14	condition	condition	NOUN
ejpam-6923	59	15	that	that	SCONJ
ejpam-6923	59	16	g(t)|t=0	g(t)|t=0	PROPN
ejpam-6923	59	17	=	=	SYM
ejpam-6923	59	18	0	0	PROPN
ejpam-6923	59	19	,	,	PUNCT
ejpam-6923	59	20	{	{	PUNCT
ejpam-6923	59	21	dθ	dθ	PROPN
ejpam-6923	59	22	0,tz(t	0,tz(t	PROPN
ejpam-6923	59	23	)	)	PUNCT
ejpam-6923	59	24	=	=	SYM
ejpam-6923	59	25	g(t	g(t	PROPN
ejpam-6923	59	26	)	)	PUNCT
ejpam-6923	59	27	,	,	PUNCT
ejpam-6923	59	28	z(0	z(0	X
ejpam-6923	59	29	)	)	PUNCT
ejpam-6923	59	30	=	=	SYM
ejpam-6923	59	31	z0	z0	PROPN
ejpam-6923	59	32	.	.	PUNCT
ejpam-6923	59	33	asma	asma	PROPN
ejpam-6923	59	34	et	et	PROPN
ejpam-6923	59	35	al	al	PROPN
ejpam-6923	59	36	.	.	PUNCT
ejpam-6923	59	37	/	/	SYM
ejpam-6923	59	38	eur	eur	PROPN
ejpam-6923	59	39	.	.	PUNCT
ejpam-6923	60	1	j.	j.	PROPN
ejpam-6923	60	2	pure	pure	PROPN
ejpam-6923	60	3	appl	appl	PROPN
ejpam-6923	60	4	.	.	PROPN
ejpam-6923	60	5	math	math	PROPN
ejpam-6923	60	6	,	,	PUNCT
ejpam-6923	60	7	18	18	NUM
ejpam-6923	60	8	(	(	PUNCT
ejpam-6923	60	9	4	4	NUM
ejpam-6923	60	10	)	)	PUNCT
ejpam-6923	60	11	(	(	PUNCT
ejpam-6923	60	12	2025	2025	NUM
ejpam-6923	60	13	)	)	PUNCT
ejpam-6923	60	14	,	,	PUNCT
ejpam-6923	60	15	6923	6923	NUM
ejpam-6923	60	16	5	5	NUM
ejpam-6923	60	17	of	of	ADP
ejpam-6923	60	18	22	22	NUM
ejpam-6923	60	19	is	be	AUX
ejpam-6923	60	20	given	give	VERB
ejpam-6923	60	21	as	as	SCONJ
ejpam-6923	60	22	follows	follow	VERB
ejpam-6923	60	23	:	:	PUNCT
ejpam-6923	60	24	z(t	z(t	X
ejpam-6923	60	25	)	)	PUNCT
ejpam-6923	60	26	=	=	SYM
ejpam-6923	60	27	z0	z0	PROPN
ejpam-6923	60	28	+	+	CCONJ
ejpam-6923	60	29	(	(	PUNCT
ejpam-6923	60	30	1−	1−	NUM
ejpam-6923	60	31	θ)g(t	θ)g(t	NOUN
ejpam-6923	60	32	)	)	PUNCT
ejpam-6923	60	33	m(θ	m(θ	PROPN
ejpam-6923	60	34	)	)	PUNCT
ejpam-6923	61	1	+	+	NUM
ejpam-6923	61	2	θ	θ	PROPN
ejpam-6923	61	3	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	61	4	)	)	PUNCT
ejpam-6923	61	5	∫	∫	PROPN
ejpam-6923	61	6	t	t	PROPN
ejpam-6923	61	7	0	0	NUM
ejpam-6923	61	8	(	(	PUNCT
ejpam-6923	61	9	t−	t−	ADV
ejpam-6923	61	10	κ)θ−1g(κ)dκ	κ)θ−1g(κ)dκ	NOUN
ejpam-6923	61	11	.	.	PUNCT
ejpam-6923	62	1	definition	definition	NOUN
ejpam-6923	62	2	3	3	NUM
ejpam-6923	62	3	.	.	PUNCT
ejpam-6923	63	1	[	[	X
ejpam-6923	63	2	22	22	NUM
ejpam-6923	63	3	]	]	PUNCT
ejpam-6923	63	4	the	the	DET
ejpam-6923	63	5	laplace	laplace	NOUN
ejpam-6923	63	6	transform	transform	NOUN
ejpam-6923	63	7	using	use	VERB
ejpam-6923	63	8	abc	abc	PROPN
ejpam-6923	63	9	derivative	derivative	NOUN
ejpam-6923	63	10	of	of	ADP
ejpam-6923	63	11	a	a	DET
ejpam-6923	63	12	function	function	NOUN
ejpam-6923	63	13	z	z	NOUN
ejpam-6923	63	14	is	be	AUX
ejpam-6923	63	15	expressed	express	VERB
ejpam-6923	63	16	as	as	SCONJ
ejpam-6923	63	17	follows	follow	VERB
ejpam-6923	63	18	:	:	PUNCT
ejpam-6923	63	19	l[dθ	l[dθ	PROPN
ejpam-6923	63	20	0,tz(t	0,tz(t	PROPN
ejpam-6923	63	21	)	)	PUNCT
ejpam-6923	63	22	]	]	PUNCT
ejpam-6923	64	1	=	=	SYM
ejpam-6923	64	2	m(θ	m(θ	PROPN
ejpam-6923	64	3	)	)	PUNCT
ejpam-6923	64	4	sθ(1−	sθ(1−	PROPN
ejpam-6923	64	5	θ	θ	X
ejpam-6923	64	6	)	)	PUNCT
ejpam-6923	65	1	+	+	NUM
ejpam-6923	65	2	θ	θ	NOUN
ejpam-6923	65	3	{	{	PUNCT
ejpam-6923	65	4	sθl{z(t	sθl{z(t	PROPN
ejpam-6923	65	5	)	)	PUNCT
ejpam-6923	65	6	}	}	PUNCT
ejpam-6923	65	7	−	−	ADP
ejpam-6923	65	8	sθ−1z(0	sθ−1z(0	NOUN
ejpam-6923	65	9	)	)	PUNCT
ejpam-6923	65	10	}	}	PUNCT
ejpam-6923	65	11	.	.	PUNCT
ejpam-6923	66	1	theorem	theorem	NOUN
ejpam-6923	66	2	1	1	NUM
ejpam-6923	66	3	.	.	PUNCT
ejpam-6923	67	1	[	[	X
ejpam-6923	67	2	22	22	NUM
ejpam-6923	67	3	]	]	PUNCT
ejpam-6923	67	4	if	if	SCONJ
ejpam-6923	67	5	t1,t2	t1,t2	PROPN
ejpam-6923	67	6	are	be	AUX
ejpam-6923	67	7	two	two	NUM
ejpam-6923	67	8	operators	operator	NOUN
ejpam-6923	67	9	such	such	ADJ
ejpam-6923	67	10	that	that	SCONJ
ejpam-6923	67	11	the	the	DET
ejpam-6923	67	12	first	first	ADJ
ejpam-6923	67	13	is	be	AUX
ejpam-6923	67	14	contraction	contraction	NOUN
ejpam-6923	67	15	and	and	CCONJ
ejpam-6923	67	16	the	the	DET
ejpam-6923	67	17	second	second	NOUN
ejpam-6923	67	18	is	be	AUX
ejpam-6923	67	19	entirely	entirely	ADV
ejpam-6923	67	20	continuous	continuous	ADJ
ejpam-6923	67	21	throughout	throughout	ADP
ejpam-6923	67	22	a	a	DET
ejpam-6923	67	23	closed	closed	ADJ
ejpam-6923	67	24	bounded	bounded	NOUN
ejpam-6923	67	25	subset	subset	VERB
ejpam-6923	67	26	a	a	PRON
ejpam-6923	67	27	of	of	ADP
ejpam-6923	67	28	a	a	DET
ejpam-6923	67	29	banach	banach	NOUN
ejpam-6923	67	30	space	space	NOUN
ejpam-6923	67	31	w	w	NOUN
ejpam-6923	67	32	,	,	PUNCT
ejpam-6923	67	33	then	then	ADV
ejpam-6923	67	34	the	the	DET
ejpam-6923	67	35	operator	operator	NOUN
ejpam-6923	67	36	equation	equation	NOUN
ejpam-6923	67	37	t1z	t1z	PROPN
ejpam-6923	67	38	+	+	CCONJ
ejpam-6923	67	39	t2z	t2z	NOUN
ejpam-6923	67	40	=	=	SYM
ejpam-6923	67	41	z	z	NOUN
ejpam-6923	67	42	has	have	VERB
ejpam-6923	67	43	at	at	ADV
ejpam-6923	67	44	least	least	ADV
ejpam-6923	67	45	one	one	NUM
ejpam-6923	67	46	solution	solution	NOUN
ejpam-6923	67	47	.	.	PUNCT
ejpam-6923	68	1	3	3	X
ejpam-6923	68	2	.	.	X
ejpam-6923	68	3	theoretical	theoretical	ADJ
ejpam-6923	68	4	results	result	NOUN
ejpam-6923	68	5	on	on	ADP
ejpam-6923	68	6	existence	existence	NOUN
ejpam-6923	68	7	and	and	CCONJ
ejpam-6923	68	8	uniqueness	uniqueness	NOUN
ejpam-6923	68	9	in	in	ADP
ejpam-6923	68	10	this	this	DET
ejpam-6923	68	11	section	section	NOUN
ejpam-6923	68	12	,	,	PUNCT
ejpam-6923	68	13	we	we	PRON
ejpam-6923	68	14	investigate	investigate	VERB
ejpam-6923	68	15	the	the	DET
ejpam-6923	68	16	qualitative	qualitative	ADJ
ejpam-6923	68	17	analysis	analysis	NOUN
ejpam-6923	68	18	of	of	ADP
ejpam-6923	68	19	the	the	DET
ejpam-6923	68	20	solutions	solution	NOUN
ejpam-6923	68	21	through	through	ADP
ejpam-6923	68	22	the	the	DET
ejpam-6923	68	23	theory	theory	NOUN
ejpam-6923	68	24	of	of	ADP
ejpam-6923	68	25	non	non	ADJ
ejpam-6923	68	26	-	-	ADJ
ejpam-6923	68	27	linear	linear	ADJ
ejpam-6923	68	28	functional	functional	ADJ
ejpam-6923	68	29	analysis	analysis	NOUN
ejpam-6923	68	30	.	.	PUNCT
ejpam-6923	69	1	in	in	ADP
ejpam-6923	69	2	theorem	theorem	NOUN
ejpam-6923	69	3	3.1	3.1	NUM
ejpam-6923	69	4	,	,	PUNCT
ejpam-6923	69	5	we	we	PRON
ejpam-6923	69	6	present	present	VERB
ejpam-6923	69	7	the	the	DET
ejpam-6923	69	8	uniqueness	uniqueness	NOUN
ejpam-6923	69	9	of	of	ADP
ejpam-6923	69	10	a	a	DET
ejpam-6923	69	11	solution	solution	NOUN
ejpam-6923	69	12	of	of	ADP
ejpam-6923	69	13	the	the	DET
ejpam-6923	69	14	specified	specified	ADJ
ejpam-6923	69	15	model	model	NOUN
ejpam-6923	69	16	,	,	PUNCT
ejpam-6923	69	17	and	and	CCONJ
ejpam-6923	69	18	in	in	ADP
ejpam-6923	69	19	theorem	theorem	NOUN
ejpam-6923	69	20	3.2	3.2	NUM
ejpam-6923	69	21	,	,	PUNCT
ejpam-6923	69	22	we	we	PRON
ejpam-6923	69	23	discuss	discuss	VERB
ejpam-6923	69	24	the	the	DET
ejpam-6923	69	25	existence	existence	NOUN
ejpam-6923	69	26	of	of	ADP
ejpam-6923	69	27	the	the	DET
ejpam-6923	69	28	solutions	solution	NOUN
ejpam-6923	69	29	.	.	PUNCT
ejpam-6923	70	1	for	for	ADP
ejpam-6923	70	2	this	this	DET
ejpam-6923	70	3	purpose	purpose	NOUN
ejpam-6923	70	4	,	,	PUNCT
ejpam-6923	70	5	we	we	PRON
ejpam-6923	70	6	use	use	VERB
ejpam-6923	70	7	the	the	DET
ejpam-6923	70	8	krasnoselskii	krasnoselskii	NOUN
ejpam-6923	70	9	and	and	CCONJ
ejpam-6923	70	10	banach	banach	ADV
ejpam-6923	70	11	fixed	fix	VERB
ejpam-6923	70	12	-	-	PUNCT
ejpam-6923	70	13	point	point	NOUN
ejpam-6923	70	14	theorems	theorem	NOUN
ejpam-6923	70	15	.	.	PUNCT
ejpam-6923	71	1	for	for	ADP
ejpam-6923	71	2	further	further	ADJ
ejpam-6923	71	3	work	work	NOUN
ejpam-6923	71	4	,	,	PUNCT
ejpam-6923	71	5	we	we	PRON
ejpam-6923	71	6	write	write	VERB
ejpam-6923	71	7	(	(	PUNCT
ejpam-6923	71	8	2	2	NUM
ejpam-6923	71	9	)	)	PUNCT
ejpam-6923	71	10	,	,	PUNCT
ejpam-6923	71	11	in	in	ADP
ejpam-6923	71	12	the	the	DET
ejpam-6923	71	13	following	follow	VERB
ejpam-6923	71	14	form:	form:	PROPN
ejpam-6923	71	15	dθ	dθ	PROPN
ejpam-6923	71	16	0,ts(t	0,ts(t	PROPN
ejpam-6923	71	17	)	)	PUNCT
ejpam-6923	71	18	=	=	SYM
ejpam-6923	72	1	φ1(s	φ1(	VERB
ejpam-6923	72	2	,	,	PUNCT
ejpam-6923	72	3	e	e	NOUN
ejpam-6923	72	4	,	,	PUNCT
ejpam-6923	72	5	c	c	X
ejpam-6923	72	6	,	,	PUNCT
ejpam-6923	72	7	p	p	NOUN
ejpam-6923	72	8	)	)	PUNCT
ejpam-6923	72	9	,	,	PUNCT
ejpam-6923	72	10	dθ	dθ	PROPN
ejpam-6923	72	11	0,te(t	0,te(t	PROPN
ejpam-6923	72	12	)	)	PUNCT
ejpam-6923	72	13	=	=	PUNCT
ejpam-6923	73	1	φ2(s	φ2(s	PROPN
ejpam-6923	73	2	,	,	PUNCT
ejpam-6923	73	3	e	e	NOUN
ejpam-6923	73	4	,	,	PUNCT
ejpam-6923	73	5	c	c	X
ejpam-6923	73	6	,	,	PUNCT
ejpam-6923	73	7	p	p	NOUN
ejpam-6923	73	8	)	)	PUNCT
ejpam-6923	73	9	,	,	PUNCT
ejpam-6923	73	10	dθ	dθ	PROPN
ejpam-6923	73	11	0,tc(t	0,tc(t	PROPN
ejpam-6923	73	12	)	)	PUNCT
ejpam-6923	73	13	=	=	SYM
ejpam-6923	74	1	φ3(s	φ3(s	PROPN
ejpam-6923	74	2	,	,	PUNCT
ejpam-6923	74	3	e	e	NOUN
ejpam-6923	74	4	,	,	PUNCT
ejpam-6923	74	5	c	c	X
ejpam-6923	74	6	,	,	PUNCT
ejpam-6923	74	7	p	p	NOUN
ejpam-6923	74	8	)	)	PUNCT
ejpam-6923	74	9	,	,	PUNCT
ejpam-6923	74	10	dθ	dθ	PROPN
ejpam-6923	74	11	0,tp	0,tp	PROPN
ejpam-6923	74	12	(	(	PUNCT
ejpam-6923	74	13	t	t	NOUN
ejpam-6923	74	14	)	)	PUNCT
ejpam-6923	74	15	=	=	SYM
ejpam-6923	74	16	φ4(s	φ4(s	PROPN
ejpam-6923	74	17	,	,	PUNCT
ejpam-6923	74	18	e	e	NOUN
ejpam-6923	74	19	,	,	PUNCT
ejpam-6923	74	20	c	c	X
ejpam-6923	74	21	,	,	PUNCT
ejpam-6923	74	22	p	p	NOUN
ejpam-6923	74	23	)	)	PUNCT
ejpam-6923	74	24	.	.	PUNCT
ejpam-6923	75	1	where	where	SCONJ
ejpam-6923	75	2			PROPN
ejpam-6923	75	3	φ1(s	φ1(s	PROPN
ejpam-6923	75	4	,	,	PUNCT
ejpam-6923	75	5	e	e	NOUN
ejpam-6923	75	6	,	,	PUNCT
ejpam-6923	75	7	c	c	X
ejpam-6923	75	8	,	,	PUNCT
ejpam-6923	75	9	p	p	NOUN
ejpam-6923	75	10	)	)	PUNCT
ejpam-6923	76	1	=	=	SYM
ejpam-6923	76	2	βc(t)−	βc(t)−	PROPN
ejpam-6923	76	3	αs(t)e(t	αs(t)e(t	ADV
ejpam-6923	76	4	)	)	PUNCT
ejpam-6923	76	5	,	,	PUNCT
ejpam-6923	76	6	φ2(s	φ2(s	PROPN
ejpam-6923	76	7	,	,	PUNCT
ejpam-6923	76	8	e	e	NOUN
ejpam-6923	76	9	,	,	PUNCT
ejpam-6923	76	10	c	c	X
ejpam-6923	76	11	,	,	PUNCT
ejpam-6923	76	12	p	p	NOUN
ejpam-6923	76	13	)	)	PUNCT
ejpam-6923	76	14	=	=	SYM
ejpam-6923	76	15	(	(	PUNCT
ejpam-6923	76	16	β	β	X
ejpam-6923	76	17	+	+	NUM
ejpam-6923	76	18	γ)c(t)−	γ)c(t)−	PROPN
ejpam-6923	76	19	αs(t)e(t	αs(t)e(t	ADV
ejpam-6923	76	20	)	)	PUNCT
ejpam-6923	76	21	,	,	PUNCT
ejpam-6923	76	22	φ3(s	φ3(s	PROPN
ejpam-6923	76	23	,	,	PUNCT
ejpam-6923	76	24	e	e	NOUN
ejpam-6923	76	25	,	,	PUNCT
ejpam-6923	76	26	c	c	X
ejpam-6923	76	27	,	,	PUNCT
ejpam-6923	76	28	p	p	NOUN
ejpam-6923	76	29	)	)	PUNCT
ejpam-6923	77	1	=	=	SYM
ejpam-6923	77	2	αs(t)e(t)−	αs(t)e(t)−	PROPN
ejpam-6923	77	3	(	(	PUNCT
ejpam-6923	77	4	β	β	X
ejpam-6923	77	5	+	+	X
ejpam-6923	77	6	γ)c(t	γ)c(t	NOUN
ejpam-6923	77	7	)	)	PUNCT
ejpam-6923	77	8	,	,	PUNCT
ejpam-6923	77	9	φ4(s	φ4(s	PROPN
ejpam-6923	77	10	,	,	PUNCT
ejpam-6923	77	11	e	e	NOUN
ejpam-6923	77	12	,	,	PUNCT
ejpam-6923	77	13	c	c	X
ejpam-6923	77	14	,	,	PUNCT
ejpam-6923	77	15	p	p	NOUN
ejpam-6923	77	16	)	)	PUNCT
ejpam-6923	77	17	=	=	SYM
ejpam-6923	77	18	γc(t	γc(t	NUM
ejpam-6923	77	19	)	)	PUNCT
ejpam-6923	77	20	.	.	PUNCT
ejpam-6923	78	1	for	for	ADP
ejpam-6923	78	2	the	the	DET
ejpam-6923	78	3	rest	rest	NOUN
ejpam-6923	78	4	of	of	ADP
ejpam-6923	78	5	the	the	DET
ejpam-6923	78	6	work	work	NOUN
ejpam-6923	78	7	,	,	PUNCT
ejpam-6923	78	8	we	we	PRON
ejpam-6923	78	9	have	have	VERB
ejpam-6923	78	10	the	the	DET
ejpam-6923	78	11	following	follow	VERB
ejpam-6923	78	12	compact	compact	ADJ
ejpam-6923	78	13	form	form	NOUN
ejpam-6923	78	14	:	:	PUNCT
ejpam-6923	78	15	{	{	PUNCT
ejpam-6923	78	16	dθ	dθ	PROPN
ejpam-6923	78	17	0,tf	0,tf	PROPN
ejpam-6923	78	18	(	(	PUNCT
ejpam-6923	78	19	t	t	NOUN
ejpam-6923	78	20	)	)	PUNCT
ejpam-6923	79	1	=	=	SYM
ejpam-6923	79	2	g(t	g(t	PROPN
ejpam-6923	79	3	,	,	PUNCT
ejpam-6923	79	4	f	f	PROPN
ejpam-6923	79	5	(	(	PUNCT
ejpam-6923	79	6	t	t	PROPN
ejpam-6923	79	7	)	)	PUNCT
ejpam-6923	79	8	)	)	PUNCT
ejpam-6923	79	9	,	,	PUNCT
ejpam-6923	79	10	f	f	PROPN
ejpam-6923	79	11	(	(	PUNCT
ejpam-6923	79	12	0	0	NUM
ejpam-6923	79	13	)	)	PUNCT
ejpam-6923	79	14	=	=	SYM
ejpam-6923	79	15	f	f	PROPN
ejpam-6923	79	16	0	0	NUM
ejpam-6923	79	17	.	.	PUNCT
ejpam-6923	80	1	(	(	PUNCT
ejpam-6923	80	2	3	3	X
ejpam-6923	80	3	)	)	PUNCT
ejpam-6923	80	4	here	here	ADV
ejpam-6923	80	5	,	,	PUNCT
ejpam-6923	80	6	f	f	PROPN
ejpam-6923	80	7	(	(	PUNCT
ejpam-6923	80	8	t	t	PROPN
ejpam-6923	80	9	)	)	PUNCT
ejpam-6923	80	10	,	,	PUNCT
ejpam-6923	80	11	f	f	PROPN
ejpam-6923	80	12	0	0	NUM
ejpam-6923	80	13	,	,	PUNCT
ejpam-6923	80	14	and	and	CCONJ
ejpam-6923	80	15	g(t	g(t	PROPN
ejpam-6923	80	16	,	,	PUNCT
ejpam-6923	80	17	f	f	PROPN
ejpam-6923	80	18	(	(	PUNCT
ejpam-6923	80	19	t	t	PROPN
ejpam-6923	80	20	)	)	PUNCT
ejpam-6923	80	21	)	)	PUNCT
ejpam-6923	80	22	are	be	AUX
ejpam-6923	80	23	defined	define	VERB
ejpam-6923	80	24	as	as	SCONJ
ejpam-6923	80	25	follows	follow	VERB
ejpam-6923	80	26	:	:	PUNCT
ejpam-6923	80	27	f	f	PROPN
ejpam-6923	80	28	(	(	PUNCT
ejpam-6923	80	29	t	t	PROPN
ejpam-6923	80	30	)	)	PUNCT
ejpam-6923	80	31	=	=	SYM
ejpam-6923	81	1			PROPN
ejpam-6923	81	2	s(t	s(t	PROPN
ejpam-6923	81	3	)	)	PUNCT
ejpam-6923	81	4	e(t	e(t	NOUN
ejpam-6923	81	5	)	)	PUNCT
ejpam-6923	81	6	c(t	c(t	PROPN
ejpam-6923	81	7	)	)	PUNCT
ejpam-6923	81	8	p	p	NOUN
ejpam-6923	81	9	(	(	PUNCT
ejpam-6923	81	10	t	t	PROPN
ejpam-6923	81	11	)	)	PUNCT
ejpam-6923	81	12			PROPN
ejpam-6923	81	13	,	,	PUNCT
ejpam-6923	81	14	f	f	PROPN
ejpam-6923	81	15	0	0	NUM
ejpam-6923	81	16	=	=	PUNCT
ejpam-6923	82	1			NOUN
ejpam-6923	82	2	s0	s0	PROPN
ejpam-6923	82	3	e0	e0	PROPN
ejpam-6923	82	4	c0	c0	PROPN
ejpam-6923	82	5	p	p	NOUN
ejpam-6923	82	6	0	0	NUM
ejpam-6923	82	7			ADJ
ejpam-6923	82	8	and	and	CCONJ
ejpam-6923	82	9	g(t	g(t	PROPN
ejpam-6923	82	10	,	,	PUNCT
ejpam-6923	82	11	f	f	PROPN
ejpam-6923	82	12	(	(	PUNCT
ejpam-6923	82	13	t	t	PROPN
ejpam-6923	82	14	)	)	PUNCT
ejpam-6923	82	15	)	)	PUNCT
ejpam-6923	83	1	=	=	PUNCT
ejpam-6923	84	1			PROPN
ejpam-6923	84	2	φ1(t	φ1(t	PROPN
ejpam-6923	84	3	,	,	PUNCT
ejpam-6923	84	4	s	s	X
ejpam-6923	84	5	,	,	PUNCT
ejpam-6923	84	6	e	e	NOUN
ejpam-6923	84	7	,	,	PUNCT
ejpam-6923	84	8	c	c	X
ejpam-6923	84	9	,	,	PUNCT
ejpam-6923	84	10	p	p	NOUN
ejpam-6923	84	11	)	)	PUNCT
ejpam-6923	84	12	φ2(t	φ2(t	PROPN
ejpam-6923	84	13	,	,	PUNCT
ejpam-6923	84	14	s	s	X
ejpam-6923	84	15	,	,	PUNCT
ejpam-6923	84	16	e	e	NOUN
ejpam-6923	84	17	,	,	PUNCT
ejpam-6923	84	18	c	c	X
ejpam-6923	84	19	,	,	PUNCT
ejpam-6923	84	20	p	p	NOUN
ejpam-6923	84	21	)	)	PUNCT
ejpam-6923	84	22	φ3(t	φ3(t	PROPN
ejpam-6923	84	23	,	,	PUNCT
ejpam-6923	84	24	s	s	X
ejpam-6923	84	25	,	,	PUNCT
ejpam-6923	84	26	e	e	NOUN
ejpam-6923	84	27	,	,	PUNCT
ejpam-6923	84	28	c	c	X
ejpam-6923	84	29	,	,	PUNCT
ejpam-6923	84	30	p	p	NOUN
ejpam-6923	84	31	)	)	PUNCT
ejpam-6923	84	32	φ4(t	φ4(t	PROPN
ejpam-6923	84	33	,	,	PUNCT
ejpam-6923	84	34	s	s	X
ejpam-6923	84	35	,	,	PUNCT
ejpam-6923	84	36	e	e	NOUN
ejpam-6923	84	37	,	,	PUNCT
ejpam-6923	84	38	c	c	X
ejpam-6923	84	39	,	,	PUNCT
ejpam-6923	84	40	p	p	NOUN
ejpam-6923	84	41	)	)	PUNCT
ejpam-6923	84	42			PROPN
ejpam-6923	84	43	.	.	PUNCT
ejpam-6923	85	1	asma	asma	PROPN
ejpam-6923	85	2	et	et	PROPN
ejpam-6923	85	3	al	al	PROPN
ejpam-6923	85	4	.	.	PUNCT
ejpam-6923	85	5	/	/	SYM
ejpam-6923	85	6	eur	eur	PROPN
ejpam-6923	85	7	.	.	PUNCT
ejpam-6923	86	1	j.	j.	PROPN
ejpam-6923	86	2	pure	pure	PROPN
ejpam-6923	86	3	appl	appl	PROPN
ejpam-6923	86	4	.	.	PROPN
ejpam-6923	86	5	math	math	PROPN
ejpam-6923	86	6	,	,	PUNCT
ejpam-6923	86	7	18	18	NUM
ejpam-6923	86	8	(	(	PUNCT
ejpam-6923	86	9	4	4	NUM
ejpam-6923	86	10	)	)	PUNCT
ejpam-6923	86	11	(	(	PUNCT
ejpam-6923	86	12	2025	2025	NUM
ejpam-6923	86	13	)	)	PUNCT
ejpam-6923	86	14	,	,	PUNCT
ejpam-6923	86	15	6923	6923	NUM
ejpam-6923	86	16	6	6	NUM
ejpam-6923	86	17	of	of	ADP
ejpam-6923	86	18	22	22	NUM
ejpam-6923	86	19	according	accord	VERB
ejpam-6923	86	20	to	to	ADP
ejpam-6923	86	21	lemma	lemma	PROPN
ejpam-6923	86	22	1	1	NUM
ejpam-6923	86	23	,	,	PUNCT
ejpam-6923	86	24	the	the	DET
ejpam-6923	86	25	solution	solution	NOUN
ejpam-6923	86	26	of	of	ADP
ejpam-6923	86	27	(	(	PUNCT
ejpam-6923	86	28	3	3	NUM
ejpam-6923	86	29	)	)	PUNCT
ejpam-6923	86	30	,	,	PUNCT
ejpam-6923	86	31	can	can	AUX
ejpam-6923	86	32	be	be	AUX
ejpam-6923	86	33	written	write	VERB
ejpam-6923	86	34	as	as	SCONJ
ejpam-6923	86	35	follows	follow	VERB
ejpam-6923	86	36	:	:	PUNCT
ejpam-6923	86	37	f	f	PROPN
ejpam-6923	86	38	(	(	PUNCT
ejpam-6923	86	39	t	t	PROPN
ejpam-6923	86	40	)	)	PUNCT
ejpam-6923	86	41	=	=	PUNCT
ejpam-6923	87	1	f	f	X
ejpam-6923	87	2	0	0	PUNCT
ejpam-6923	88	1	+	+	CCONJ
ejpam-6923	88	2	(	(	PUNCT
ejpam-6923	88	3	1−	1−	NUM
ejpam-6923	88	4	θ)g(t	θ)g(t	NOUN
ejpam-6923	88	5	,	,	PUNCT
ejpam-6923	88	6	f	f	PROPN
ejpam-6923	88	7	(	(	PUNCT
ejpam-6923	88	8	t	t	PROPN
ejpam-6923	88	9	)	)	PUNCT
ejpam-6923	88	10	)	)	PUNCT
ejpam-6923	88	11	m(θ	m(θ	PROPN
ejpam-6923	88	12	)	)	PUNCT
ejpam-6923	89	1	+	+	NUM
ejpam-6923	89	2	θ	θ	PROPN
ejpam-6923	89	3	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	89	4	)	)	PUNCT
ejpam-6923	89	5	∫	∫	PROPN
ejpam-6923	89	6	t	t	PROPN
ejpam-6923	89	7	0	0	NUM
ejpam-6923	89	8	(	(	PUNCT
ejpam-6923	89	9	t−	t−	PROPN
ejpam-6923	89	10	κ)θ−1g(κ	κ)θ−1g(κ	ADJ
ejpam-6923	89	11	,	,	PUNCT
ejpam-6923	89	12	f	f	PROPN
ejpam-6923	89	13	(	(	PUNCT
ejpam-6923	89	14	κ))dκ	κ))dκ	PROPN
ejpam-6923	89	15	.	.	PUNCT
ejpam-6923	90	1	the	the	DET
ejpam-6923	90	2	operator	operator	NOUN
ejpam-6923	90	3	t	t	PROPN
ejpam-6923	90	4	is	be	AUX
ejpam-6923	90	5	considered	consider	VERB
ejpam-6923	90	6	for	for	ADP
ejpam-6923	90	7	further	further	ADJ
ejpam-6923	90	8	work	work	NOUN
ejpam-6923	90	9	:	:	PUNCT
ejpam-6923	90	10	tf	tf	INTJ
ejpam-6923	90	11	(	(	PUNCT
ejpam-6923	90	12	t	t	PROPN
ejpam-6923	90	13	)	)	PUNCT
ejpam-6923	90	14	=	=	PUNCT
ejpam-6923	91	1	f	f	X
ejpam-6923	91	2	0	0	PUNCT
ejpam-6923	92	1	+	+	CCONJ
ejpam-6923	92	2	(	(	PUNCT
ejpam-6923	92	3	1−	1−	NUM
ejpam-6923	92	4	θ)g(t	θ)g(t	NOUN
ejpam-6923	92	5	,	,	PUNCT
ejpam-6923	92	6	f	f	PROPN
ejpam-6923	92	7	(	(	PUNCT
ejpam-6923	92	8	t	t	PROPN
ejpam-6923	92	9	)	)	PUNCT
ejpam-6923	92	10	)	)	PUNCT
ejpam-6923	92	11	m(θ	m(θ	PROPN
ejpam-6923	92	12	)	)	PUNCT
ejpam-6923	93	1	+	+	NUM
ejpam-6923	93	2	θ	θ	PROPN
ejpam-6923	93	3	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	93	4	)	)	PUNCT
ejpam-6923	93	5	∫	∫	PROPN
ejpam-6923	93	6	t	t	PROPN
ejpam-6923	93	7	0	0	NUM
ejpam-6923	93	8	(	(	PUNCT
ejpam-6923	93	9	t−	t−	PROPN
ejpam-6923	93	10	κ)θ−1g(κ	κ)θ−1g(κ	ADJ
ejpam-6923	93	11	,	,	PUNCT
ejpam-6923	93	12	f	f	PROPN
ejpam-6923	93	13	(	(	PUNCT
ejpam-6923	93	14	κ))dκ	κ))dκ	PROPN
ejpam-6923	93	15	.	.	PUNCT
ejpam-6923	93	16	(	(	PUNCT
ejpam-6923	93	17	4	4	X
ejpam-6923	93	18	)	)	PUNCT
ejpam-6923	93	19	the	the	DET
ejpam-6923	93	20	following	follow	VERB
ejpam-6923	93	21	are	be	AUX
ejpam-6923	93	22	the	the	DET
ejpam-6923	93	23	assumptions	assumption	NOUN
ejpam-6923	93	24	for	for	ADP
ejpam-6923	93	25	our	our	PRON
ejpam-6923	93	26	upcoming	upcoming	ADJ
ejpam-6923	93	27	work	work	NOUN
ejpam-6923	93	28	:	:	PUNCT
ejpam-6923	93	29	(	(	PUNCT
ejpam-6923	93	30	a1	a1	NOUN
ejpam-6923	93	31	)	)	PUNCT
ejpam-6923	93	32	for	for	ADP
ejpam-6923	93	33	f1	f1	NOUN
ejpam-6923	93	34	,	,	PUNCT
ejpam-6923	93	35	f2	f2	PROPN
ejpam-6923	93	36	∈	∈	PROPN
ejpam-6923	93	37	w	w	PROPN
ejpam-6923	93	38	,	,	PUNCT
ejpam-6923	93	39	we	we	PRON
ejpam-6923	93	40	have	have	VERB
ejpam-6923	93	41	ag	ag	PROPN
ejpam-6923	93	42	>	>	X
ejpam-6923	93	43	0	0	NUM
ejpam-6923	94	1	such	such	ADJ
ejpam-6923	94	2	that:∥∥g(f1)−g(f2	that:∥∥g(f1)−g(f2	NOUN
ejpam-6923	94	3	)	)	PUNCT
ejpam-6923	95	1	∥∥	∥∥	PROPN
ejpam-6923	95	2	≤	≤	NUM
ejpam-6923	95	3	ag‖f1	ag‖f1	VERB
ejpam-6923	95	4	−	−	PROPN
ejpam-6923	95	5	f2‖.	f2‖.	NOUN
ejpam-6923	95	6	(	(	PUNCT
ejpam-6923	95	7	a2	a2	PROPN
ejpam-6923	95	8	)	)	PUNCT
ejpam-6923	95	9	for	for	ADP
ejpam-6923	95	10	f	f	PROPN
ejpam-6923	95	11	∈	∈	PROPN
ejpam-6923	95	12	w	w	PROPN
ejpam-6923	95	13	,	,	PUNCT
ejpam-6923	95	14	we	we	PRON
ejpam-6923	95	15	have	have	VERB
ejpam-6923	95	16	bg	bg	PROPN
ejpam-6923	95	17	,	,	PUNCT
ejpam-6923	95	18	cg	cg	X
ejpam-6923	95	19	>	>	X
ejpam-6923	95	20	0	0	NUM
ejpam-6923	96	1	such	such	ADJ
ejpam-6923	96	2	that:∥∥g(f	that:∥∥g(f	NOUN
ejpam-6923	96	3	)	)	PUNCT
ejpam-6923	96	4	∥∥	∥∥	VERB
ejpam-6923	96	5	≤	≤	NUM
ejpam-6923	96	6	bg‖f‖+	bg‖f‖+	PROPN
ejpam-6923	96	7	cg	cg	NOUN
ejpam-6923	96	8	.	.	PUNCT
ejpam-6923	97	1	theorem	theorem	PROPN
ejpam-6923	97	2	2	2	NUM
ejpam-6923	97	3	.	.	PUNCT
ejpam-6923	98	1	given	give	VERB
ejpam-6923	98	2	(	(	PUNCT
ejpam-6923	98	3	a1	a1	PROPN
ejpam-6923	98	4	)	)	PUNCT
ejpam-6923	98	5	and	and	CCONJ
ejpam-6923	98	6	assuming	assume	VERB
ejpam-6923	98	7	that	that	SCONJ
ejpam-6923	98	8	(	(	PUNCT
ejpam-6923	98	9	agm(θ)γ(θ)(1−	agm(θ)γ(θ)(1−	NOUN
ejpam-6923	98	10	θ	θ	NOUN
ejpam-6923	98	11	)	)	PUNCT
ejpam-6923	98	12	+	+	CCONJ
ejpam-6923	98	13	agη	agη	ADJ
ejpam-6923	98	14	θ	θ	NOUN
ejpam-6923	98	15	)	)	PUNCT
ejpam-6923	98	16	<	<	X
ejpam-6923	98	17	m(θ)γ(θ	m(θ)γ(θ	NOUN
ejpam-6923	98	18	)	)	PUNCT
ejpam-6923	98	19	hold	hold	NOUN
ejpam-6923	98	20	.	.	PUNCT
ejpam-6923	99	1	subsequently	subsequently	ADV
ejpam-6923	99	2	,	,	PUNCT
ejpam-6923	99	3	the	the	DET
ejpam-6923	99	4	problem	problem	NOUN
ejpam-6923	99	5	(	(	PUNCT
ejpam-6923	99	6	3	3	X
ejpam-6923	99	7	)	)	PUNCT
ejpam-6923	99	8	has	have	VERB
ejpam-6923	99	9	a	a	DET
ejpam-6923	99	10	unique	unique	ADJ
ejpam-6923	99	11	solution	solution	NOUN
ejpam-6923	99	12	.	.	PUNCT
ejpam-6923	100	1	proof	proof	NOUN
ejpam-6923	100	2	.	.	PUNCT
ejpam-6923	101	1	consider	consider	VERB
ejpam-6923	101	2	f1	f1	NOUN
ejpam-6923	101	3	,	,	PUNCT
ejpam-6923	101	4	f2	f2	PROPN
ejpam-6923	101	5	∈	∈	PROPN
ejpam-6923	101	6	w	w	PROPN
ejpam-6923	101	7	,	,	PUNCT
ejpam-6923	101	8	one	one	PRON
ejpam-6923	101	9	may	may	AUX
ejpam-6923	101	10	write	write	VERB
ejpam-6923	101	11	‖tf1(t)−	‖tf1(t)−	PUNCT
ejpam-6923	101	12	tf2(t)‖	tf2(t)‖	NOUN
ejpam-6923	101	13	≤	≤	NUM
ejpam-6923	101	14	max	max	PROPN
ejpam-6923	101	15	t∈j	t∈j	NOUN
ejpam-6923	101	16	{	{	PUNCT
ejpam-6923	101	17	(	(	PUNCT
ejpam-6923	101	18	1−	1−	NUM
ejpam-6923	101	19	θ	θ	NOUN
ejpam-6923	101	20	)	)	PUNCT
ejpam-6923	101	21	|g(t	|g(t	PROPN
ejpam-6923	101	22	,	,	PUNCT
ejpam-6923	101	23	f1)−g(t	f1)−g(t	NOUN
ejpam-6923	101	24	,	,	PUNCT
ejpam-6923	101	25	f2)|+	f2)|+	ADJ
ejpam-6923	101	26	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6923	101	27	θ	θ	PROPN
ejpam-6923	101	28	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	101	29	)	)	PUNCT
ejpam-6923	101	30	∫	∫	PROPN
ejpam-6923	101	31	t	t	PROPN
ejpam-6923	101	32	0	0	NUM
ejpam-6923	102	1	(	(	PUNCT
ejpam-6923	102	2	t−	t−	PROPN
ejpam-6923	102	3	κ)θ−1	κ)θ−1	PROPN
ejpam-6923	102	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6923	102	5	|g(t	|g(t	PROPN
ejpam-6923	102	6	,	,	PUNCT
ejpam-6923	102	7	f1)−g(t	f1)−g(t	NOUN
ejpam-6923	102	8	,	,	PUNCT
ejpam-6923	102	9	f2)|	f2)|	PROPN
ejpam-6923	102	10	dκ	dκ	PROPN
ejpam-6923	102	11	}	}	PUNCT
ejpam-6923	102	12	≤	≤	NUM
ejpam-6923	102	13	max	max	PROPN
ejpam-6923	102	14	t∈j	t∈j	NOUN
ejpam-6923	102	15	{	{	PUNCT
ejpam-6923	102	16	ag(1−	ag(1−	PROPN
ejpam-6923	102	17	θ)|f1	θ)|f1	PROPN
ejpam-6923	102	18	−	−	PROPN
ejpam-6923	102	19	f2|+	f2|+	PROPN
ejpam-6923	102	20	agt	agt	PROPN
ejpam-6923	102	21	θ	θ	PROPN
ejpam-6923	102	22	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	102	23	)	)	PUNCT
ejpam-6923	102	24	|f1	|f1	NOUN
ejpam-6923	102	25	−	−	NOUN
ejpam-6923	102	26	f2|	f2|	NOUN
ejpam-6923	102	27	}	}	PUNCT
ejpam-6923	102	28	≤	≤	NOUN
ejpam-6923	102	29	(	(	PUNCT
ejpam-6923	102	30	ag(1−	ag(1−	PROPN
ejpam-6923	102	31	θ	θ	NOUN
ejpam-6923	102	32	)	)	PUNCT
ejpam-6923	102	33	+	+	CCONJ
ejpam-6923	103	1	agη	agη	ADJ
ejpam-6923	103	2	θ	θ	NOUN
ejpam-6923	103	3	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	103	4	)	)	PUNCT
ejpam-6923	103	5	)	)	PUNCT
ejpam-6923	104	1	‖f1	‖f1	VERB
ejpam-6923	104	2	−	−	NOUN
ejpam-6923	104	3	f2‖	f2‖	ADV
ejpam-6923	104	4	≤	≤	NUM
ejpam-6923	104	5	(	(	PUNCT
ejpam-6923	104	6	agm(θ)γ(θ)(1−	agm(θ)γ(θ)(1−	NOUN
ejpam-6923	104	7	θ	θ	NOUN
ejpam-6923	104	8	)	)	PUNCT
ejpam-6923	105	1	+	+	CCONJ
ejpam-6923	105	2	agη	agη	ADJ
ejpam-6923	105	3	θ	θ	NOUN
ejpam-6923	105	4	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	105	5	)	)	PUNCT
ejpam-6923	105	6	)	)	PUNCT
ejpam-6923	106	1	‖f1	‖f1	VERB
ejpam-6923	107	1	−	−	PROPN
ejpam-6923	107	2	f2‖.	f2‖.	NOUN
ejpam-6923	107	3	obviously	obviously	ADV
ejpam-6923	107	4	t	t	PROPN
ejpam-6923	107	5	has	have	VERB
ejpam-6923	107	6	a	a	DET
ejpam-6923	107	7	unique	unique	ADJ
ejpam-6923	107	8	solution	solution	NOUN
ejpam-6923	107	9	.	.	PUNCT
ejpam-6923	108	1	theorem	theorem	NOUN
ejpam-6923	108	2	3	3	NUM
ejpam-6923	108	3	.	.	PUNCT
ejpam-6923	109	1	if	if	SCONJ
ejpam-6923	109	2	(	(	PUNCT
ejpam-6923	109	3	a1	a1	NOUN
ejpam-6923	109	4	,	,	PUNCT
ejpam-6923	109	5	a2	a2	NOUN
ejpam-6923	109	6	)	)	PUNCT
ejpam-6923	109	7	and	and	CCONJ
ejpam-6923	109	8	ag(1	ag(1	ADP
ejpam-6923	109	9	−	−	PROPN
ejpam-6923	109	10	θ	θ	NOUN
ejpam-6923	109	11	)	)	PUNCT
ejpam-6923	109	12	<	<	X
ejpam-6923	109	13	m(θ	m(θ	PROPN
ejpam-6923	109	14	)	)	PUNCT
ejpam-6923	109	15	hold	hold	VERB
ejpam-6923	109	16	true	true	ADJ
ejpam-6923	109	17	,	,	PUNCT
ejpam-6923	109	18	then	then	ADV
ejpam-6923	109	19	there	there	PRON
ejpam-6923	109	20	is	be	VERB
ejpam-6923	109	21	at	at	ADV
ejpam-6923	109	22	least	least	ADJ
ejpam-6923	109	23	one	one	NUM
ejpam-6923	109	24	solution	solution	NOUN
ejpam-6923	109	25	to	to	ADP
ejpam-6923	109	26	the	the	DET
ejpam-6923	109	27	problem	problem	NOUN
ejpam-6923	109	28	(	(	PUNCT
ejpam-6923	109	29	3	3	NUM
ejpam-6923	109	30	)	)	PUNCT
ejpam-6923	109	31	.	.	PUNCT
ejpam-6923	110	1	proof	proof	NOUN
ejpam-6923	110	2	.	.	PUNCT
ejpam-6923	111	1	two	two	NUM
ejpam-6923	111	2	operators	operator	NOUN
ejpam-6923	111	3	are	be	AUX
ejpam-6923	111	4	defined	define	VERB
ejpam-6923	111	5	for	for	ADP
ejpam-6923	111	6	further	further	ADJ
ejpam-6923	111	7	work	work	NOUN
ejpam-6923	111	8	as	as	SCONJ
ejpam-6923	111	9	follows	follow	VERB
ejpam-6923	111	10	:	:	PUNCT
ejpam-6923	111	11	t1f	t1f	PROPN
ejpam-6923	111	12	(	(	PUNCT
ejpam-6923	111	13	t	t	NOUN
ejpam-6923	111	14	)	)	PUNCT
ejpam-6923	111	15	=	=	PUNCT
ejpam-6923	112	1	f	f	X
ejpam-6923	112	2	0	0	PUNCT
ejpam-6923	113	1	+	+	CCONJ
ejpam-6923	113	2	(	(	PUNCT
ejpam-6923	113	3	1−	1−	NUM
ejpam-6923	113	4	θ)g(t	θ)g(t	NOUN
ejpam-6923	113	5	,	,	PUNCT
ejpam-6923	113	6	f	f	PROPN
ejpam-6923	113	7	(	(	PUNCT
ejpam-6923	113	8	t	t	PROPN
ejpam-6923	113	9	)	)	PUNCT
ejpam-6923	113	10	)	)	PUNCT
ejpam-6923	113	11	m(θ	m(θ	PROPN
ejpam-6923	113	12	)	)	PUNCT
ejpam-6923	113	13	asma	asma	PROPN
ejpam-6923	113	14	et	et	PROPN
ejpam-6923	113	15	al	al	PROPN
ejpam-6923	113	16	.	.	PUNCT
ejpam-6923	113	17	/	/	SYM
ejpam-6923	113	18	eur	eur	PROPN
ejpam-6923	113	19	.	.	PUNCT
ejpam-6923	114	1	j.	j.	PROPN
ejpam-6923	114	2	pure	pure	PROPN
ejpam-6923	114	3	appl	appl	PROPN
ejpam-6923	114	4	.	.	PROPN
ejpam-6923	114	5	math	math	PROPN
ejpam-6923	114	6	,	,	PUNCT
ejpam-6923	114	7	18	18	NUM
ejpam-6923	114	8	(	(	PUNCT
ejpam-6923	114	9	4	4	NUM
ejpam-6923	114	10	)	)	PUNCT
ejpam-6923	114	11	(	(	PUNCT
ejpam-6923	114	12	2025	2025	NUM
ejpam-6923	114	13	)	)	PUNCT
ejpam-6923	114	14	,	,	PUNCT
ejpam-6923	114	15	6923	6923	NUM
ejpam-6923	114	16	7	7	NUM
ejpam-6923	114	17	of	of	ADP
ejpam-6923	114	18	22	22	NUM
ejpam-6923	114	19	t2f	t2f	X
ejpam-6923	114	20	(	(	PUNCT
ejpam-6923	114	21	t	t	NOUN
ejpam-6923	114	22	)	)	PUNCT
ejpam-6923	114	23	=	=	SYM
ejpam-6923	114	24	θ	θ	PROPN
ejpam-6923	114	25	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	114	26	)	)	PUNCT
ejpam-6923	115	1	∫	∫	PROPN
ejpam-6923	115	2	t	t	PROPN
ejpam-6923	115	3	0	0	NUM
ejpam-6923	115	4	(	(	PUNCT
ejpam-6923	115	5	t−	t−	PROPN
ejpam-6923	115	6	κ)θ−1g(κ	κ)θ−1g(κ	ADJ
ejpam-6923	115	7	,	,	PUNCT
ejpam-6923	115	8	f	f	PROPN
ejpam-6923	115	9	(	(	PUNCT
ejpam-6923	115	10	κ))dκ	κ))dκ	PROPN
ejpam-6923	115	11	.	.	X
ejpam-6923	115	12	consider	consider	VERB
ejpam-6923	115	13	f1	f1	NOUN
ejpam-6923	115	14	,	,	PUNCT
ejpam-6923	115	15	f2	f2	PROPN
ejpam-6923	115	16	∈	∈	PROPN
ejpam-6923	115	17	w	w	PROPN
ejpam-6923	115	18	,	,	PUNCT
ejpam-6923	115	19	so	so	SCONJ
ejpam-6923	115	20	one	one	PRON
ejpam-6923	115	21	has	have	VERB
ejpam-6923	115	22	‖t1(f1)−	‖t1(f1)−	PROPN
ejpam-6923	115	23	t1(f2)‖	t1(f2)‖	ADJ
ejpam-6923	115	24	≤	≤	ADJ
ejpam-6923	115	25	max	max	PROPN
ejpam-6923	115	26	t∈j	t∈j	PROPN
ejpam-6923	115	27	∣∣∣∣(1−	∣∣∣∣(1−	PROPN
ejpam-6923	115	28	θ)g(t	θ)g(t	PROPN
ejpam-6923	115	29	,	,	PUNCT
ejpam-6923	115	30	f1	f1	NOUN
ejpam-6923	115	31	)	)	PUNCT
ejpam-6923	115	32	m(θ	m(θ	PROPN
ejpam-6923	115	33	)	)	PUNCT
ejpam-6923	116	1	−	−	PROPN
ejpam-6923	117	1	(	(	PUNCT
ejpam-6923	117	2	1−	1−	NUM
ejpam-6923	117	3	θ)g(t	θ)g(t	NOUN
ejpam-6923	117	4	,	,	PUNCT
ejpam-6923	117	5	f2	f2	PROPN
ejpam-6923	117	6	)	)	PUNCT
ejpam-6923	117	7	m(θ	m(θ	PROPN
ejpam-6923	117	8	)	)	PUNCT
ejpam-6923	117	9	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6923	117	10	≤	≤	NOUN
ejpam-6923	117	11	ag(1−	ag(1−	PROPN
ejpam-6923	117	12	θ	θ	NOUN
ejpam-6923	117	13	)	)	PUNCT
ejpam-6923	117	14	m(θ	m(θ	PROPN
ejpam-6923	117	15	)	)	PUNCT
ejpam-6923	117	16	‖f1	‖f1	VERB
ejpam-6923	118	1	−	−	PROPN
ejpam-6923	118	2	f2‖.	f2‖.	NOUN
ejpam-6923	118	3	therefore	therefore	ADV
ejpam-6923	118	4	,	,	PUNCT
ejpam-6923	118	5	t1	t1	PROPN
ejpam-6923	118	6	is	be	AUX
ejpam-6923	118	7	a	a	DET
ejpam-6923	118	8	contraction	contraction	NOUN
ejpam-6923	118	9	.	.	PUNCT
ejpam-6923	119	1	moreover	moreover	ADV
ejpam-6923	119	2	,	,	PUNCT
ejpam-6923	119	3	t2	t2	PROPN
ejpam-6923	119	4	is	be	AUX
ejpam-6923	119	5	a	a	DET
ejpam-6923	119	6	uniformly	uniformly	ADV
ejpam-6923	119	7	continuous	continuous	ADJ
ejpam-6923	119	8	operator	operator	NOUN
ejpam-6923	119	9	over	over	ADP
ejpam-6923	119	10	a	a	DET
ejpam-6923	119	11	if	if	NOUN
ejpam-6923	119	12	a	a	PRON
ejpam-6923	119	13	=	=	X
ejpam-6923	119	14	{	{	PUNCT
ejpam-6923	119	15	f	f	PROPN
ejpam-6923	119	16	∈	∈	PROPN
ejpam-6923	119	17	w	w	NOUN
ejpam-6923	119	18	:	:	PUNCT
ejpam-6923	119	19	‖f‖	‖f‖	ADJ
ejpam-6923	119	20	≤	≤	NUM
ejpam-6923	119	21	r	r	NOUN
ejpam-6923	119	22	}	}	PUNCT
ejpam-6923	119	23	is	be	AUX
ejpam-6923	119	24	a	a	DET
ejpam-6923	119	25	closed	closed	ADJ
ejpam-6923	119	26	and	and	CCONJ
ejpam-6923	119	27	bounded	bound	VERB
ejpam-6923	119	28	subset	subset	NOUN
ejpam-6923	119	29	of	of	ADP
ejpam-6923	119	30	w	w	NOUN
ejpam-6923	119	31	,	,	PUNCT
ejpam-6923	119	32	where	where	SCONJ
ejpam-6923	119	33	(	(	PUNCT
ejpam-6923	119	34	bg	bg	PROPN
ejpam-6923	119	35	r+cg)ηθ	r+cg)ηθ	PROPN
ejpam-6923	119	36	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	119	37	)	)	PUNCT
ejpam-6923	119	38	≤	≤	PROPN
ejpam-6923	119	39	r.	r.	NOUN
ejpam-6923	119	40	t2	t2	PROPN
ejpam-6923	119	41	must	must	AUX
ejpam-6923	119	42	likewise	likewise	ADV
ejpam-6923	119	43	be	be	AUX
ejpam-6923	119	44	continuous	continuous	ADJ
ejpam-6923	119	45	as	as	SCONJ
ejpam-6923	119	46	g	g	PROPN
ejpam-6923	119	47	is	be	AUX
ejpam-6923	119	48	continuous	continuous	ADJ
ejpam-6923	119	49	.	.	PUNCT
ejpam-6923	120	1	moreover	moreover	ADV
ejpam-6923	120	2	:	:	PUNCT
ejpam-6923	120	3	‖t2(f	‖t2(f	ADJ
ejpam-6923	120	4	)	)	PUNCT
ejpam-6923	120	5	‖	‖	PROPN
ejpam-6923	120	6	=	=	SYM
ejpam-6923	120	7	max	max	PROPN
ejpam-6923	120	8	t∈j	t∈j	NOUN
ejpam-6923	120	9	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6923	120	10	θ	θ	PROPN
ejpam-6923	120	11	m(θ	m(θ	PROPN
ejpam-6923	120	12	)	)	PUNCT
ejpam-6923	121	1	∫	∫	PROPN
ejpam-6923	121	2	t	t	PROPN
ejpam-6923	121	3	0	0	NUM
ejpam-6923	121	4	(	(	PUNCT
ejpam-6923	121	5	t−	t−	PROPN
ejpam-6923	121	6	κ)θ−1g(κ	κ)θ−1g(κ	ADJ
ejpam-6923	121	7	,	,	PUNCT
ejpam-6923	121	8	f	f	NOUN
ejpam-6923	121	9	)	)	PUNCT
ejpam-6923	121	10	dκ	dκ	ADP
ejpam-6923	121	11	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6923	121	12	≤	≤	PROPN
ejpam-6923	121	13	‖g(f	‖g(f	NUM
ejpam-6923	121	14	)	)	PUNCT
ejpam-6923	121	15	‖ηθ	‖ηθ	NUM
ejpam-6923	121	16	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	121	17	)	)	PUNCT
ejpam-6923	121	18	≤	≤	NOUN
ejpam-6923	121	19	(	(	PUNCT
ejpam-6923	121	20	bg‖f‖+	bg‖f‖+	NOUN
ejpam-6923	121	21	cg	cg	NOUN
ejpam-6923	121	22	)	)	PUNCT
ejpam-6923	121	23	η	η	PROPN
ejpam-6923	121	24	θ	θ	PROPN
ejpam-6923	121	25	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	121	26	)	)	PUNCT
ejpam-6923	121	27	≤	≤	NOUN
ejpam-6923	121	28	(	(	PUNCT
ejpam-6923	121	29	bg	bg	NOUN
ejpam-6923	121	30	r	r	NOUN
ejpam-6923	121	31	+	+	CCONJ
ejpam-6923	121	32	cg	cg	NOUN
ejpam-6923	121	33	)	)	PUNCT
ejpam-6923	121	34	η	η	PROPN
ejpam-6923	121	35	θ	θ	PROPN
ejpam-6923	121	36	m(θ)γ(θ	m(θ)γ(θ	NUM
ejpam-6923	121	37	)	)	PUNCT
ejpam-6923	122	1	≤	≤	NOUN
ejpam-6923	122	2	r.	r.	NOUN
ejpam-6923	122	3	as	as	ADP
ejpam-6923	122	4	a	a	DET
ejpam-6923	122	5	result	result	NOUN
ejpam-6923	122	6	,	,	PUNCT
ejpam-6923	122	7	t2	t2	PROPN
ejpam-6923	122	8	is	be	AUX
ejpam-6923	122	9	bounded	bound	VERB
ejpam-6923	122	10	.	.	PUNCT
ejpam-6923	123	1	take	take	VERB
ejpam-6923	123	2	t1	t1	NOUN
ejpam-6923	123	3	<	<	X
ejpam-6923	123	4	t2	t2	PROPN
ejpam-6923	123	5	∈	∈	PROPN
ejpam-6923	123	6	j	j	PROPN
ejpam-6923	123	7	,	,	PUNCT
ejpam-6923	123	8	therefore	therefore	ADV
ejpam-6923	123	9	,	,	PUNCT
ejpam-6923	123	10	one	one	PRON
ejpam-6923	123	11	may	may	AUX
ejpam-6923	123	12	write	write	VERB
ejpam-6923	123	13	:	:	PUNCT
ejpam-6923	123	14	‖t2f	‖t2f	PROPN
ejpam-6923	123	15	(	(	PUNCT
ejpam-6923	123	16	t2)−	t2)−	NOUN
ejpam-6923	123	17	t2f	t2f	X
ejpam-6923	123	18	(	(	PUNCT
ejpam-6923	123	19	t1)‖	t1)‖	NOUN
ejpam-6923	123	20	=	=	SYM
ejpam-6923	123	21	max	max	PROPN
ejpam-6923	123	22	t∈j	t∈j	NOUN
ejpam-6923	123	23	{	{	PUNCT
ejpam-6923	123	24	θ	θ	PROPN
ejpam-6923	123	25	m(θ	m(θ	PROPN
ejpam-6923	123	26	)	)	PUNCT
ejpam-6923	123	27	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6923	123	28	t2	t2	NOUN
ejpam-6923	123	29	0	0	NUM
ejpam-6923	123	30	(	(	PUNCT
ejpam-6923	123	31	t2	t2	NOUN
ejpam-6923	123	32	−	−	PROPN
ejpam-6923	123	33	κ)θ−1g(κ	κ)θ−1g(κ	PROPN
ejpam-6923	123	34	,	,	PUNCT
ejpam-6923	123	35	f	f	PROPN
ejpam-6923	123	36	)	)	PUNCT
ejpam-6923	123	37	dκ−	dκ−	PROPN
ejpam-6923	123	38	∫	∫	PROPN
ejpam-6923	123	39	t1	t1	NOUN
ejpam-6923	123	40	0	0	NUM
ejpam-6923	124	1	(	(	PUNCT
ejpam-6923	124	2	t1	t1	NOUN
ejpam-6923	124	3	−	−	PROPN
ejpam-6923	124	4	κ)θ−1g(κ	κ)θ−1g(κ	PROPN
ejpam-6923	124	5	,	,	PUNCT
ejpam-6923	124	6	f	f	NOUN
ejpam-6923	124	7	)	)	PUNCT
ejpam-6923	124	8	dκ	dκ	ADP
ejpam-6923	124	9	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6923	124	10	}	}	PUNCT
ejpam-6923	124	11	=	=	SYM
ejpam-6923	124	12	max	max	PROPN
ejpam-6923	124	13	t∈j	t∈j	NOUN
ejpam-6923	124	14	{	{	PUNCT
ejpam-6923	124	15	θ	θ	PROPN
ejpam-6923	124	16	m(θ	m(θ	PROPN
ejpam-6923	124	17	)	)	PUNCT
ejpam-6923	124	18	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6923	124	19	∫	∫	PROPN
ejpam-6923	124	20	t1	t1	NOUN
ejpam-6923	124	21	0	0	NUM
ejpam-6923	124	22	(	(	PUNCT
ejpam-6923	124	23	t2	t2	NOUN
ejpam-6923	124	24	−	−	PROPN
ejpam-6923	124	25	κ)θ−1g(κ	κ)θ−1g(κ	PROPN
ejpam-6923	124	26	,	,	PUNCT
ejpam-6923	124	27	f	f	PROPN
ejpam-6923	124	28	)	)	PUNCT
ejpam-6923	124	29	dκ+	dκ+	PROPN
ejpam-6923	124	30	∫	∫	PROPN
ejpam-6923	124	31	t2	t2	PROPN
ejpam-6923	124	32	t1	t1	PROPN
ejpam-6923	124	33	(	(	PUNCT
ejpam-6923	124	34	t2	t2	PROPN
ejpam-6923	124	35	−	−	PROPN
ejpam-6923	124	36	κ)θ−1g(κ	κ)θ−1g(κ	PROPN
ejpam-6923	124	37	,	,	PUNCT
ejpam-6923	124	38	f	f	PROPN
ejpam-6923	124	39	)	)	PUNCT
ejpam-6923	124	40	dκ	dκ	PROPN
ejpam-6923	124	41	−	−	PROPN
ejpam-6923	124	42	∫	∫	PROPN
ejpam-6923	124	43	t1	t1	NOUN
ejpam-6923	124	44	0	0	NUM
ejpam-6923	125	1	(	(	PUNCT
ejpam-6923	125	2	t1	t1	NOUN
ejpam-6923	125	3	−	−	PROPN
ejpam-6923	125	4	κ)θ−1g(κ	κ)θ−1g(κ	PROPN
ejpam-6923	125	5	,	,	PUNCT
ejpam-6923	125	6	f	f	NOUN
ejpam-6923	125	7	)	)	PUNCT
ejpam-6923	125	8	dκ	dκ	ADP
ejpam-6923	125	9	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6923	125	10	}	}	PUNCT
ejpam-6923	125	11	≤	≤	NUM
ejpam-6923	125	12	θ(cgr	θ(cgr	PROPN
ejpam-6923	125	13	+	+	CCONJ
ejpam-6923	125	14	dg	dg	NOUN
ejpam-6923	125	15	)	)	PUNCT
ejpam-6923	125	16	(	(	PUNCT
ejpam-6923	125	17	tθ2	tθ2	PROPN
ejpam-6923	125	18	−	−	PROPN
ejpam-6923	126	1	tθ1	tθ1	NOUN
ejpam-6923	126	2	)	)	PUNCT
ejpam-6923	126	3	m(θ	m(θ	PROPN
ejpam-6923	126	4	)	)	PUNCT
ejpam-6923	126	5	.	.	PUNCT
ejpam-6923	127	1	(	(	PUNCT
ejpam-6923	127	2	5	5	X
ejpam-6923	127	3	)	)	PUNCT
ejpam-6923	127	4	in	in	ADP
ejpam-6923	127	5	(	(	PUNCT
ejpam-6923	127	6	5	5	NUM
ejpam-6923	127	7	)	)	PUNCT
ejpam-6923	127	8	,	,	PUNCT
ejpam-6923	127	9	the	the	DET
ejpam-6923	127	10	right	right	ADJ
ejpam-6923	127	11	side	side	NOUN
ejpam-6923	127	12	suggests	suggest	VERB
ejpam-6923	127	13	that	that	SCONJ
ejpam-6923	127	14	‖t2(f	‖t2(f	PROPN
ejpam-6923	127	15	(	(	PUNCT
ejpam-6923	127	16	t2	t2	NOUN
ejpam-6923	127	17	)	)	PUNCT
ejpam-6923	127	18	)	)	PUNCT
ejpam-6923	128	1	−	−	PROPN
ejpam-6923	128	2	t2(f	t2(f	INTJ
ejpam-6923	128	3	(	(	PUNCT
ejpam-6923	128	4	t1))‖	t1))‖	X
ejpam-6923	128	5	→	→	SYM
ejpam-6923	128	6	0	0	NUM
ejpam-6923	128	7	.	.	PUNCT
ejpam-6923	129	1	to	to	PART
ejpam-6923	129	2	do	do	VERB
ejpam-6923	129	3	this	this	PRON
ejpam-6923	129	4	,	,	PUNCT
ejpam-6923	129	5	t2	t2	PROPN
ejpam-6923	129	6	→	→	SYM
ejpam-6923	129	7	t1	t1	PROPN
ejpam-6923	129	8	is	be	AUX
ejpam-6923	129	9	required	require	VERB
ejpam-6923	129	10	.	.	PUNCT
ejpam-6923	130	1	consequently	consequently	ADV
ejpam-6923	130	2	,	,	PUNCT
ejpam-6923	130	3	the	the	DET
ejpam-6923	130	4	arzelá	arzelá	PROPN
ejpam-6923	130	5	ascoli	ascoli	PROPN
ejpam-6923	130	6	theorem	theorem	PROPN
ejpam-6923	130	7	holds	hold	VERB
ejpam-6923	130	8	true	true	ADJ
ejpam-6923	130	9	in	in	ADP
ejpam-6923	130	10	every	every	DET
ejpam-6923	130	11	situation	situation	NOUN
ejpam-6923	130	12	.	.	PUNCT
ejpam-6923	131	1	krasnoselskii	krasnoselskii	PROPN
ejpam-6923	131	2	’s	’s	PART
ejpam-6923	131	3	theorem	theorem	ADJ
ejpam-6923	131	4	states	state	NOUN
ejpam-6923	131	5	that	that	SCONJ
ejpam-6923	131	6	(	(	PUNCT
ejpam-6923	131	7	4	4	X
ejpam-6923	131	8	)	)	PUNCT
ejpam-6923	131	9	has	have	VERB
ejpam-6923	131	10	at	at	ADV
ejpam-6923	131	11	least	least	ADV
ejpam-6923	131	12	one	one	NUM
ejpam-6923	131	13	fixed	fix	VERB
ejpam-6923	131	14	point	point	NOUN
ejpam-6923	131	15	.	.	PUNCT
ejpam-6923	132	1	consequently	consequently	ADV
ejpam-6923	132	2	,	,	PUNCT
ejpam-6923	132	3	we	we	PRON
ejpam-6923	132	4	may	may	AUX
ejpam-6923	132	5	say	say	VERB
ejpam-6923	132	6	that	that	SCONJ
ejpam-6923	132	7	(	(	PUNCT
ejpam-6923	132	8	3	3	X
ejpam-6923	132	9	)	)	PUNCT
ejpam-6923	132	10	has	have	VERB
ejpam-6923	132	11	at	at	ADV
ejpam-6923	132	12	least	least	ADJ
ejpam-6923	132	13	one	one	NUM
ejpam-6923	132	14	solution	solution	NOUN
ejpam-6923	132	15	.	.	PUNCT
ejpam-6923	133	1	asma	asma	PROPN
ejpam-6923	133	2	et	et	PROPN
ejpam-6923	133	3	al	al	PROPN
ejpam-6923	133	4	.	.	PUNCT
ejpam-6923	133	5	/	/	SYM
ejpam-6923	133	6	eur	eur	PROPN
ejpam-6923	133	7	.	.	PUNCT
ejpam-6923	134	1	j.	j.	PROPN
ejpam-6923	134	2	pure	pure	PROPN
ejpam-6923	134	3	appl	appl	PROPN
ejpam-6923	134	4	.	.	PROPN
ejpam-6923	134	5	math	math	PROPN
ejpam-6923	134	6	,	,	PUNCT
ejpam-6923	134	7	18	18	NUM
ejpam-6923	134	8	(	(	PUNCT
ejpam-6923	134	9	4	4	NUM
ejpam-6923	134	10	)	)	PUNCT
ejpam-6923	134	11	(	(	PUNCT
ejpam-6923	134	12	2025	2025	NUM
ejpam-6923	134	13	)	)	PUNCT
ejpam-6923	134	14	,	,	PUNCT
ejpam-6923	134	15	6923	6923	NUM
ejpam-6923	134	16	8	8	NUM
ejpam-6923	134	17	of	of	ADP
ejpam-6923	134	18	22	22	NUM
ejpam-6923	134	19	3.1	3.1	NUM
ejpam-6923	134	20	.	.	PUNCT
ejpam-6923	135	1	comparison	comparison	NOUN
ejpam-6923	135	2	with	with	ADP
ejpam-6923	135	3	existing	exist	VERB
ejpam-6923	135	4	models	model	NOUN
ejpam-6923	135	5	to	to	PART
ejpam-6923	135	6	highlight	highlight	VERB
ejpam-6923	135	7	the	the	DET
ejpam-6923	135	8	contribution	contribution	NOUN
ejpam-6923	135	9	of	of	ADP
ejpam-6923	135	10	our	our	PRON
ejpam-6923	135	11	approach	approach	NOUN
ejpam-6923	135	12	,	,	PUNCT
ejpam-6923	135	13	we	we	PRON
ejpam-6923	135	14	compare	compare	VERB
ejpam-6923	135	15	the	the	DET
ejpam-6923	135	16	proposed	propose	VERB
ejpam-6923	135	17	abc	abc	PROPN
ejpam-6923	135	18	-	-	PUNCT
ejpam-6923	135	19	fractional	fractional	ADJ
ejpam-6923	135	20	enzymatic	enzymatic	ADJ
ejpam-6923	135	21	model	model	NOUN
ejpam-6923	135	22	with	with	ADP
ejpam-6923	135	23	:	:	PUNCT
ejpam-6923	135	24	(	(	PUNCT
ejpam-6923	135	25	i	i	NOUN
ejpam-6923	135	26	)	)	PUNCT
ejpam-6923	135	27	classical	classical	ADJ
ejpam-6923	135	28	michaelis	michaeli	NOUN
ejpam-6923	135	29	–	–	PUNCT
ejpam-6923	135	30	menten	menten	VERB
ejpam-6923	135	31	kinetics	kinetic	NOUN
ejpam-6923	135	32	:	:	PUNCT
ejpam-6923	135	33	the	the	DET
ejpam-6923	135	34	classical	classical	ADJ
ejpam-6923	135	35	model	model	NOUN
ejpam-6923	135	36	assumes	assume	VERB
ejpam-6923	135	37	markovian	markovian	PROPN
ejpam-6923	135	38	dynamics	dynamic	NOUN
ejpam-6923	135	39	,	,	PUNCT
ejpam-6923	135	40	which	which	PRON
ejpam-6923	135	41	neglects	neglect	VERB
ejpam-6923	135	42	memory	memory	NOUN
ejpam-6923	135	43	effects	effect	NOUN
ejpam-6923	135	44	.	.	PUNCT
ejpam-6923	136	1	our	our	PRON
ejpam-6923	136	2	simulations	simulation	NOUN
ejpam-6923	136	3	reveal	reveal	VERB
ejpam-6923	136	4	that	that	SCONJ
ejpam-6923	136	5	fractional	fractional	ADJ
ejpam-6923	136	6	orders	order	NOUN
ejpam-6923	136	7	capture	capture	VERB
ejpam-6923	136	8	substrate	substrate	NOUN
ejpam-6923	136	9	delays	delay	NOUN
ejpam-6923	136	10	and	and	CCONJ
ejpam-6923	136	11	enzyme	enzyme	NOUN
ejpam-6923	136	12	saturation	saturation	NOUN
ejpam-6923	136	13	more	more	ADV
ejpam-6923	136	14	realistically	realistically	ADV
ejpam-6923	136	15	.	.	PUNCT
ejpam-6923	137	1	(	(	PUNCT
ejpam-6923	137	2	ii	ii	NOUN
ejpam-6923	137	3	)	)	PUNCT
ejpam-6923	137	4	fractional	fractional	ADJ
ejpam-6923	137	5	enzymatic	enzymatic	ADJ
ejpam-6923	137	6	models	model	NOUN
ejpam-6923	137	7	with	with	ADP
ejpam-6923	137	8	caputo	caputo	PROPN
ejpam-6923	137	9	derivatives	derivative	NOUN
ejpam-6923	137	10	:	:	PUNCT
ejpam-6923	137	11	previous	previous	ADJ
ejpam-6923	137	12	studies	study	NOUN
ejpam-6923	137	13	using	use	VERB
ejpam-6923	137	14	caputo	caputo	PROPN
ejpam-6923	137	15	operators	operator	NOUN
ejpam-6923	137	16	introduce	introduce	VERB
ejpam-6923	137	17	memory	memory	NOUN
ejpam-6923	137	18	but	but	CCONJ
ejpam-6923	137	19	lack	lack	VERB
ejpam-6923	137	20	the	the	DET
ejpam-6923	137	21	flexibility	flexibility	NOUN
ejpam-6923	137	22	of	of	ADP
ejpam-6923	137	23	abc	abc	PROPN
ejpam-6923	137	24	kernels	kernel	NOUN
ejpam-6923	137	25	.	.	PUNCT
ejpam-6923	138	1	in	in	ADP
ejpam-6923	138	2	contrast	contrast	NOUN
ejpam-6923	138	3	,	,	PUNCT
ejpam-6923	138	4	our	our	PRON
ejpam-6923	138	5	model	model	NOUN
ejpam-6923	138	6	generalizes	generalize	VERB
ejpam-6923	138	7	memory	memory	NOUN
ejpam-6923	138	8	effects	effect	NOUN
ejpam-6923	138	9	through	through	ADP
ejpam-6923	138	10	fractional	fractional	ADJ
ejpam-6923	138	11	order	order	NOUN
ejpam-6923	138	12	θ	θ	NOUN
ejpam-6923	138	13	,	,	PUNCT
ejpam-6923	138	14	enabling	enable	VERB
ejpam-6923	138	15	finer	fine	ADJ
ejpam-6923	138	16	control	control	NOUN
ejpam-6923	138	17	[	[	X
ejpam-6923	138	18	23	23	NUM
ejpam-6923	138	19	]	]	PUNCT
ejpam-6923	138	20	.	.	PUNCT
ejpam-6923	139	1	this	this	DET
ejpam-6923	139	2	comparison	comparison	NOUN
ejpam-6923	139	3	demonstrates	demonstrate	VERB
ejpam-6923	139	4	that	that	SCONJ
ejpam-6923	139	5	the	the	DET
ejpam-6923	139	6	abc	abc	PROPN
ejpam-6923	139	7	framework	framework	NOUN
ejpam-6923	139	8	not	not	PART
ejpam-6923	139	9	only	only	ADV
ejpam-6923	139	10	generalizes	generalize	VERB
ejpam-6923	139	11	existing	exist	VERB
ejpam-6923	139	12	models	model	NOUN
ejpam-6923	139	13	but	but	CCONJ
ejpam-6923	139	14	also	also	ADV
ejpam-6923	139	15	aligns	align	VERB
ejpam-6923	139	16	better	well	ADV
ejpam-6923	139	17	with	with	ADP
ejpam-6923	139	18	the	the	DET
ejpam-6923	139	19	complex	complex	ADJ
ejpam-6923	139	20	dynamics	dynamic	NOUN
ejpam-6923	139	21	expected	expect	VERB
ejpam-6923	139	22	in	in	ADP
ejpam-6923	139	23	biochemical	biochemical	ADJ
ejpam-6923	139	24	systems	system	NOUN
ejpam-6923	139	25	.	.	PUNCT
ejpam-6923	140	1	4	4	X
ejpam-6923	140	2	.	.	NOUN
ejpam-6923	140	3	results	result	NOUN
ejpam-6923	140	4	and	and	CCONJ
ejpam-6923	140	5	discussion	discussion	NOUN
ejpam-6923	140	6	in	in	ADP
ejpam-6923	140	7	the	the	DET
ejpam-6923	140	8	current	current	ADJ
ejpam-6923	140	9	portion	portion	NOUN
ejpam-6923	140	10	,	,	PUNCT
ejpam-6923	140	11	we	we	PRON
ejpam-6923	140	12	first	first	ADV
ejpam-6923	140	13	find	find	VERB
ejpam-6923	140	14	the	the	DET
ejpam-6923	140	15	approximate	approximate	ADJ
ejpam-6923	140	16	solutions	solution	NOUN
ejpam-6923	140	17	of	of	ADP
ejpam-6923	140	18	(	(	PUNCT
ejpam-6923	140	19	2	2	NUM
ejpam-6923	140	20	)	)	PUNCT
ejpam-6923	140	21	and	and	CCONJ
ejpam-6923	140	22	then	then	ADV
ejpam-6923	140	23	discuss	discuss	VERB
ejpam-6923	140	24	the	the	DET
ejpam-6923	140	25	behaviour	behaviour	NOUN
ejpam-6923	140	26	of	of	ADP
ejpam-6923	140	27	these	these	DET
ejpam-6923	140	28	solutions	solution	NOUN
ejpam-6923	140	29	through	through	ADP
ejpam-6923	140	30	different	different	ADJ
ejpam-6923	140	31	twoand	twoand	ADP
ejpam-6923	140	32	three	three	NUM
ejpam-6923	140	33	-	-	PUNCT
ejpam-6923	140	34	dimensional	dimensional	ADJ
ejpam-6923	140	35	plots	plot	NOUN
ejpam-6923	140	36	.	.	PUNCT
ejpam-6923	141	1	to	to	PART
ejpam-6923	141	2	better	well	ADV
ejpam-6923	141	3	understand	understand	VERB
ejpam-6923	141	4	the	the	DET
ejpam-6923	141	5	current	current	ADJ
ejpam-6923	141	6	study	study	NOUN
ejpam-6923	141	7	of	of	ADP
ejpam-6923	141	8	the	the	DET
ejpam-6923	141	9	concerned	concerned	ADJ
ejpam-6923	141	10	problem	problem	NOUN
ejpam-6923	141	11	,	,	PUNCT
ejpam-6923	141	12	a	a	DET
ejpam-6923	141	13	complete	complete	ADJ
ejpam-6923	141	14	analysis	analysis	NOUN
ejpam-6923	141	15	of	of	ADP
ejpam-6923	141	16	the	the	DET
ejpam-6923	141	17	specified	specify	VERB
ejpam-6923	141	18	problem	problem	NOUN
ejpam-6923	141	19	is	be	AUX
ejpam-6923	141	20	given	give	VERB
ejpam-6923	141	21	under	under	ADP
ejpam-6923	141	22	different	different	ADJ
ejpam-6923	141	23	conditions	condition	NOUN
ejpam-6923	141	24	.	.	PUNCT
ejpam-6923	142	1	in	in	ADP
ejpam-6923	142	2	the	the	DET
ejpam-6923	142	3	first	first	ADJ
ejpam-6923	142	4	step	step	NOUN
ejpam-6923	142	5	of	of	ADP
ejpam-6923	142	6	finding	find	VERB
ejpam-6923	142	7	the	the	DET
ejpam-6923	142	8	approximate	approximate	ADJ
ejpam-6923	142	9	solution	solution	NOUN
ejpam-6923	142	10	,	,	PUNCT
ejpam-6923	142	11	we	we	PRON
ejpam-6923	142	12	consider	consider	VERB
ejpam-6923	142	13	the	the	DET
ejpam-6923	142	14	first	first	ADJ
ejpam-6923	142	15	equation	equation	NOUN
ejpam-6923	142	16	of	of	ADP
ejpam-6923	142	17	model	model	NOUN
ejpam-6923	142	18	(	(	PUNCT
ejpam-6923	142	19	2	2	NUM
ejpam-6923	142	20	)	)	PUNCT
ejpam-6923	142	21	,	,	PUNCT
ejpam-6923	142	22	under	under	ADP
ejpam-6923	142	23	ladm	ladm	NOUN
ejpam-6923	142	24	.	.	PUNCT
ejpam-6923	143	1	applying	apply	VERB
ejpam-6923	143	2	the	the	DET
ejpam-6923	143	3	laplace	laplace	NOUN
ejpam-6923	143	4	transform	transform	NOUN
ejpam-6923	143	5	to	to	ADP
ejpam-6923	143	6	the	the	DET
ejpam-6923	143	7	first	first	ADJ
ejpam-6923	143	8	equation	equation	NOUN
ejpam-6923	143	9	of	of	ADP
ejpam-6923	143	10	the	the	DET
ejpam-6923	143	11	concerned	concerned	ADJ
ejpam-6923	143	12	model	model	NOUN
ejpam-6923	143	13	,	,	PUNCT
ejpam-6923	143	14	we	we	PRON
ejpam-6923	143	15	have	have	VERB
ejpam-6923	143	16	l{s(t	l{s(t	NUM
ejpam-6923	143	17	)	)	PUNCT
ejpam-6923	143	18	}	}	PUNCT
ejpam-6923	143	19	=	=	SYM
ejpam-6923	143	20	s(0	s(0	PROPN
ejpam-6923	143	21	)	)	PUNCT
ejpam-6923	143	22	s	s	PART
ejpam-6923	144	1	+	+	CCONJ
ejpam-6923	144	2	(	(	PUNCT
ejpam-6923	144	3	sθ(1−	sθ(1−	PROPN
ejpam-6923	144	4	θ	θ	NOUN
ejpam-6923	144	5	)	)	PUNCT
ejpam-6923	144	6	+	+	NUM
ejpam-6923	144	7	θ	θ	PROPN
ejpam-6923	144	8	sθm(θ	sθm(θ	PROPN
ejpam-6923	144	9	)	)	PUNCT
ejpam-6923	144	10	)	)	PUNCT
ejpam-6923	145	1	l	l	NOUN
ejpam-6923	145	2	{	{	PUNCT
ejpam-6923	145	3	βc(t)−	βc(t)−	PROPN
ejpam-6923	145	4	αs(t)e(t	αs(t)e(t	ADV
ejpam-6923	145	5	)	)	PUNCT
ejpam-6923	145	6	}	}	PUNCT
ejpam-6923	145	7	.	.	PUNCT
ejpam-6923	146	1	(	(	PUNCT
ejpam-6923	146	2	6	6	X
ejpam-6923	146	3	)	)	PUNCT
ejpam-6923	146	4	using	use	VERB
ejpam-6923	146	5	the	the	DET
ejpam-6923	146	6	initial	initial	ADJ
ejpam-6923	146	7	condition	condition	NOUN
ejpam-6923	146	8	,	,	PUNCT
ejpam-6923	146	9	the	the	DET
ejpam-6923	146	10	equation	equation	NOUN
ejpam-6923	146	11	(	(	PUNCT
ejpam-6923	146	12	6	6	NUM
ejpam-6923	146	13	)	)	PUNCT
ejpam-6923	146	14	becomes	become	VERB
ejpam-6923	146	15	l{s(t	l{s(t	PROPN
ejpam-6923	146	16	)	)	PUNCT
ejpam-6923	146	17	}	}	PUNCT
ejpam-6923	147	1	=	=	SYM
ejpam-6923	147	2	s0	s0	PROPN
ejpam-6923	147	3	s	s	PART
ejpam-6923	147	4	+	+	CCONJ
ejpam-6923	147	5	(	(	PUNCT
ejpam-6923	147	6	sθ(1−	sθ(1−	PROPN
ejpam-6923	147	7	θ	θ	NOUN
ejpam-6923	147	8	)	)	PUNCT
ejpam-6923	147	9	+	+	NUM
ejpam-6923	147	10	θ	θ	PROPN
ejpam-6923	147	11	sθm(θ	sθm(θ	PROPN
ejpam-6923	147	12	)	)	PUNCT
ejpam-6923	147	13	)	)	PUNCT
ejpam-6923	148	1	l	l	NOUN
ejpam-6923	148	2	{	{	PUNCT
ejpam-6923	148	3	βc(t)−	βc(t)−	PROPN
ejpam-6923	148	4	αs(t)e(t	αs(t)e(t	ADV
ejpam-6923	148	5	)	)	PUNCT
ejpam-6923	148	6	}	}	PUNCT
ejpam-6923	148	7	.	.	PUNCT
ejpam-6923	149	1	(	(	PUNCT
ejpam-6923	149	2	7	7	X
ejpam-6923	149	3	)	)	PUNCT
ejpam-6923	149	4	after	after	ADP
ejpam-6923	149	5	applying	apply	VERB
ejpam-6923	149	6	inverse	inverse	NOUN
ejpam-6923	149	7	transform	transform	NOUN
ejpam-6923	149	8	to	to	ADP
ejpam-6923	149	9	(	(	PUNCT
ejpam-6923	149	10	7	7	NUM
ejpam-6923	149	11	)	)	PUNCT
ejpam-6923	149	12	,	,	PUNCT
ejpam-6923	149	13	we	we	PRON
ejpam-6923	149	14	have	have	VERB
ejpam-6923	149	15	:	:	PUNCT
ejpam-6923	149	16	s(t	s(t	PROPN
ejpam-6923	149	17	)	)	PUNCT
ejpam-6923	150	1	=	=	SYM
ejpam-6923	150	2	s0	s0	PROPN
ejpam-6923	150	3	+	+	CCONJ
ejpam-6923	150	4	l−1	l−1	PROPN
ejpam-6923	150	5	{	{	PUNCT
ejpam-6923	150	6	(	(	PUNCT
ejpam-6923	150	7	sθ(1−	sθ(1−	PROPN
ejpam-6923	150	8	θ	θ	NOUN
ejpam-6923	150	9	)	)	PUNCT
ejpam-6923	150	10	+	+	NUM
ejpam-6923	150	11	θ	θ	PROPN
ejpam-6923	150	12	sθm(θ	sθm(θ	PROPN
ejpam-6923	150	13	)	)	PUNCT
ejpam-6923	150	14	)	)	PUNCT
ejpam-6923	151	1	l	l	NOUN
ejpam-6923	151	2	{	{	PUNCT
ejpam-6923	151	3	βc(t)−	βc(t)−	PROPN
ejpam-6923	151	4	αs(t)e(t	αs(t)e(t	ADV
ejpam-6923	151	5	)	)	PUNCT
ejpam-6923	151	6	}	}	PUNCT
ejpam-6923	151	7	}	}	PUNCT
ejpam-6923	151	8	.	.	PUNCT
ejpam-6923	152	1	(	(	PUNCT
ejpam-6923	152	2	8)	8)	NUM
ejpam-6923	152	3	for	for	ADP
ejpam-6923	152	4	further	further	ADJ
ejpam-6923	152	5	calculations	calculation	NOUN
ejpam-6923	152	6	,	,	PUNCT
ejpam-6923	152	7	we	we	PRON
ejpam-6923	152	8	consider	consider	VERB
ejpam-6923	152	9	s	s	PRON
ejpam-6923	152	10	=	=	PUNCT
ejpam-6923	152	11	∞∑	∞∑	PROPN
ejpam-6923	152	12	n=0	n=0	PROPN
ejpam-6923	152	13	sn	sn	NOUN
ejpam-6923	152	14	,	,	PUNCT
ejpam-6923	152	15	and	and	CCONJ
ejpam-6923	152	16	se	se	X
ejpam-6923	152	17	=	=	PUNCT
ejpam-6923	153	1	∞∑	∞∑	PROPN
ejpam-6923	153	2	n=0	n=0	PUNCT
ejpam-6923	153	3	an	an	PROPN
ejpam-6923	153	4	.	.	PUNCT
ejpam-6923	154	1	asma	asma	PROPN
ejpam-6923	154	2	et	et	PROPN
ejpam-6923	154	3	al	al	PROPN
ejpam-6923	154	4	.	.	PUNCT
ejpam-6923	154	5	/	/	SYM
ejpam-6923	154	6	eur	eur	PROPN
ejpam-6923	154	7	.	.	PUNCT
ejpam-6923	155	1	j.	j.	PROPN
ejpam-6923	155	2	pure	pure	PROPN
ejpam-6923	155	3	appl	appl	PROPN
ejpam-6923	155	4	.	.	PROPN
ejpam-6923	155	5	math	math	PROPN
ejpam-6923	155	6	,	,	PUNCT
ejpam-6923	155	7	18	18	NUM
ejpam-6923	155	8	(	(	PUNCT
ejpam-6923	155	9	4	4	NUM
ejpam-6923	155	10	)	)	PUNCT
ejpam-6923	155	11	(	(	PUNCT
ejpam-6923	155	12	2025	2025	NUM
ejpam-6923	155	13	)	)	PUNCT
ejpam-6923	155	14	,	,	PUNCT
ejpam-6923	155	15	6923	6923	NUM
ejpam-6923	155	16	9	9	NUM
ejpam-6923	155	17	of	of	ADP
ejpam-6923	155	18	22	22	NUM
ejpam-6923	155	19	an	an	PRON
ejpam-6923	155	20	is	be	AUX
ejpam-6923	155	21	given	give	VERB
ejpam-6923	155	22	as	as	SCONJ
ejpam-6923	155	23	follows	follow	VERB
ejpam-6923	155	24	:	:	PUNCT
ejpam-6923	155	25	an	an	DET
ejpam-6923	155	26	=	=	SYM
ejpam-6923	155	27	1	1	NUM
ejpam-6923	155	28	γ(n+	γ(n+	NUM
ejpam-6923	155	29	1	1	NUM
ejpam-6923	155	30	)	)	PUNCT
ejpam-6923	155	31	dn	dn	NOUN
ejpam-6923	155	32	dκn	dκn	PRON
ejpam-6923	155	33			PROPN
ejpam-6923	155	34	n∑	n∑	CCONJ
ejpam-6923	155	35	j=0	j=0	PROPN
ejpam-6923	155	36	κjsj	κjsj	PROPN
ejpam-6923	155	37			PUNCT
ejpam-6923	155	38	n∑	n∑	PROPN
ejpam-6923	155	39	j=0	j=0	PROPN
ejpam-6923	155	40	κjej	κjej	PROPN
ejpam-6923	155	41			PUNCT
ejpam-6923	156	1	κ=0	κ=0	PROPN
ejpam-6923	156	2	.	.	PUNCT
ejpam-6923	157	1	putting	put	VERB
ejpam-6923	157	2	these	these	DET
ejpam-6923	157	3	values	value	NOUN
ejpam-6923	157	4	in	in	ADP
ejpam-6923	157	5	(	(	PUNCT
ejpam-6923	157	6	8)	8)	NUM
ejpam-6923	157	7	,	,	PUNCT
ejpam-6923	157	8	the	the	DET
ejpam-6923	157	9	equation	equation	NOUN
ejpam-6923	157	10	becomes	become	VERB
ejpam-6923	157	11	as	as	SCONJ
ejpam-6923	157	12	follows	follow	VERB
ejpam-6923	157	13	:	:	PUNCT
ejpam-6923	157	14	∞∑	∞∑	NUM
ejpam-6923	157	15	n=0	n=0	NUM
ejpam-6923	157	16	sn(t	sn(t	NUM
ejpam-6923	157	17	)	)	PUNCT
ejpam-6923	157	18	=	=	SYM
ejpam-6923	157	19	s0	s0	PROPN
ejpam-6923	157	20	+	+	CCONJ
ejpam-6923	157	21	l−1	l−1	PROPN
ejpam-6923	157	22			PUNCT
ejpam-6923	157	23	(	(	PUNCT
ejpam-6923	157	24	sθ(1−	sθ(1−	PROPN
ejpam-6923	157	25	θ	θ	NOUN
ejpam-6923	157	26	)	)	PUNCT
ejpam-6923	157	27	+	+	NUM
ejpam-6923	157	28	θ	θ	PROPN
ejpam-6923	157	29	sθm(θ	sθm(θ	PROPN
ejpam-6923	157	30	)	)	PUNCT
ejpam-6923	157	31	)	)	PUNCT
ejpam-6923	158	1	l	l	PROPN
ejpam-6923	158	2	β	β	PROPN
ejpam-6923	158	3	n∑	n∑	PROPN
ejpam-6923	158	4	j=0	j=0	PROPN
ejpam-6923	158	5	cj	cj	PROPN
ejpam-6923	159	1	−	−	PROPN
ejpam-6923	159	2	α	α	PROPN
ejpam-6923	159	3	n∑	n∑	PROPN
ejpam-6923	159	4	j=0	j=0	PROPN
ejpam-6923	159	5	aj	aj	PROPN
ejpam-6923	159	6			PROPN
ejpam-6923	159	7			PROPN
ejpam-6923	159	8	.	.	PUNCT
ejpam-6923	160	1	from	from	ADP
ejpam-6923	160	2	the	the	DET
ejpam-6923	160	3	preceding	precede	VERB
ejpam-6923	160	4	equation	equation	NOUN
ejpam-6923	160	5	,	,	PUNCT
ejpam-6923	160	6	we	we	PRON
ejpam-6923	160	7	get	get	VERB
ejpam-6923	160	8	s0	s0	NOUN
ejpam-6923	160	9	=	=	SYM
ejpam-6923	160	10	s0	s0	PROPN
ejpam-6923	160	11	,	,	PUNCT
ejpam-6923	160	12	s1	s1	NOUN
ejpam-6923	160	13	=	=	SYM
ejpam-6923	160	14	l−1	l−1	PROPN
ejpam-6923	160	15	{	{	PUNCT
ejpam-6923	160	16	(	(	PUNCT
ejpam-6923	160	17	sθ(1−	sθ(1−	PROPN
ejpam-6923	160	18	θ	θ	NOUN
ejpam-6923	160	19	)	)	PUNCT
ejpam-6923	160	20	+	+	NUM
ejpam-6923	160	21	θ	θ	PROPN
ejpam-6923	160	22	sθm(θ	sθm(θ	PROPN
ejpam-6923	160	23	)	)	PUNCT
ejpam-6923	160	24	)	)	PUNCT
ejpam-6923	161	1	l	l	NOUN
ejpam-6923	161	2	{	{	PUNCT
ejpam-6923	161	3	βc0	βc0	NOUN
ejpam-6923	161	4	−	−	PROPN
ejpam-6923	161	5	αa0	αa0	NOUN
ejpam-6923	161	6	}	}	PUNCT
ejpam-6923	161	7	}	}	PUNCT
ejpam-6923	161	8	,	,	PUNCT
ejpam-6923	161	9	and	and	CCONJ
ejpam-6923	161	10	so	so	ADV
ejpam-6923	161	11	forth	forth	ADV
ejpam-6923	161	12	.	.	PUNCT
ejpam-6923	162	1	the	the	DET
ejpam-6923	162	2	generic	generic	ADJ
ejpam-6923	162	3	form	form	NOUN
ejpam-6923	162	4	can	can	AUX
ejpam-6923	162	5	be	be	AUX
ejpam-6923	162	6	written	write	VERB
ejpam-6923	162	7	as	as	ADP
ejpam-6923	162	8	:	:	PUNCT
ejpam-6923	162	9	sn+1	sn+1	X
ejpam-6923	162	10	=	=	SYM
ejpam-6923	162	11	l−1	l−1	PROPN
ejpam-6923	162	12	{	{	PUNCT
ejpam-6923	162	13	(	(	PUNCT
ejpam-6923	162	14	sθ(1−	sθ(1−	PROPN
ejpam-6923	162	15	θ	θ	NOUN
ejpam-6923	162	16	)	)	PUNCT
ejpam-6923	162	17	+	+	NUM
ejpam-6923	162	18	θ	θ	PROPN
ejpam-6923	162	19	sθm(θ	sθm(θ	PROPN
ejpam-6923	162	20	)	)	PUNCT
ejpam-6923	162	21	)	)	PUNCT
ejpam-6923	163	1	l	l	NOUN
ejpam-6923	163	2	{	{	PUNCT
ejpam-6923	163	3	βcn	βcn	NOUN
ejpam-6923	163	4	−	−	PROPN
ejpam-6923	163	5	αan	αan	NOUN
ejpam-6923	163	6	}	}	PUNCT
ejpam-6923	163	7	}	}	PUNCT
ejpam-6923	163	8	,	,	PUNCT
ejpam-6923	163	9	n	n	X
ejpam-6923	163	10	≥	≥	NOUN
ejpam-6923	163	11	0	0	NUM
ejpam-6923	163	12	.	.	PUNCT
ejpam-6923	163	13	to	to	PART
ejpam-6923	163	14	find	find	VERB
ejpam-6923	163	15	the	the	DET
ejpam-6923	163	16	required	require	VERB
ejpam-6923	163	17	solution	solution	NOUN
ejpam-6923	163	18	,	,	PUNCT
ejpam-6923	163	19	one	one	PRON
ejpam-6923	163	20	has	have	VERB
ejpam-6923	163	21	to	to	PART
ejpam-6923	163	22	put	put	VERB
ejpam-6923	163	23	the	the	DET
ejpam-6923	163	24	values	value	NOUN
ejpam-6923	163	25	of	of	ADP
ejpam-6923	163	26	n	n	NOUN
ejpam-6923	163	27	in	in	ADP
ejpam-6923	163	28	the	the	DET
ejpam-6923	163	29	general	general	ADJ
ejpam-6923	163	30	formula	formula	NOUN
ejpam-6923	163	31	above	above	ADP
ejpam-6923	163	32	using	use	VERB
ejpam-6923	163	33	the	the	DET
ejpam-6923	163	34	previous	previous	ADJ
ejpam-6923	163	35	values	value	NOUN
ejpam-6923	163	36	of	of	ADP
ejpam-6923	163	37	s.	s.	PROPN
ejpam-6923	163	38	with	with	ADP
ejpam-6923	163	39	this	this	DET
ejpam-6923	163	40	iteration	iteration	NOUN
ejpam-6923	163	41	,	,	PUNCT
ejpam-6923	163	42	we	we	PRON
ejpam-6923	163	43	may	may	AUX
ejpam-6923	163	44	get	get	VERB
ejpam-6923	163	45	s0	s0	NOUN
ejpam-6923	163	46	,	,	PUNCT
ejpam-6923	163	47	s1	s1	NOUN
ejpam-6923	163	48	,	,	PUNCT
ejpam-6923	163	49	s2	s2	NOUN
ejpam-6923	163	50	,	,	PUNCT
ejpam-6923	163	51	and	and	CCONJ
ejpam-6923	163	52	so	so	ADV
ejpam-6923	163	53	on	on	ADV
ejpam-6923	163	54	.	.	PUNCT
ejpam-6923	164	1	we	we	PRON
ejpam-6923	164	2	write	write	VERB
ejpam-6923	164	3	the	the	DET
ejpam-6923	164	4	general	general	ADJ
ejpam-6923	164	5	solution	solution	NOUN
ejpam-6923	164	6	as	as	ADP
ejpam-6923	164	7	s	s	NOUN
ejpam-6923	164	8	=	=	SYM
ejpam-6923	164	9	s0	s0	PROPN
ejpam-6923	164	10	+	+	CCONJ
ejpam-6923	164	11	s1	s1	PROPN
ejpam-6923	164	12	+	+	CCONJ
ejpam-6923	164	13	s2	s2	NOUN
ejpam-6923	164	14	+	+	CCONJ
ejpam-6923	164	15	·	·	PUNCT
ejpam-6923	164	16	·	·	PUNCT
ejpam-6923	164	17	·	·	PUNCT
ejpam-6923	164	18	.	.	PUNCT
ejpam-6923	165	1	similarly	similarly	ADV
ejpam-6923	165	2	,	,	PUNCT
ejpam-6923	165	3	applying	apply	VERB
ejpam-6923	165	4	the	the	DET
ejpam-6923	165	5	same	same	ADJ
ejpam-6923	165	6	procedure	procedure	NOUN
ejpam-6923	165	7	for	for	ADP
ejpam-6923	165	8	the	the	DET
ejpam-6923	165	9	remaining	remain	VERB
ejpam-6923	165	10	equations	equation	NOUN
ejpam-6923	165	11	of	of	ADP
ejpam-6923	165	12	the	the	DET
ejpam-6923	165	13	systems	system	NOUN
ejpam-6923	165	14	,	,	PUNCT
ejpam-6923	165	15	we	we	PRON
ejpam-6923	165	16	have	have	VERB
ejpam-6923	165	17	e0	e0	PROPN
ejpam-6923	165	18	=	=	SYM
ejpam-6923	165	19	e0	e0	PROPN
ejpam-6923	165	20	,	,	PUNCT
ejpam-6923	165	21	e1	e1	NOUN
ejpam-6923	165	22	=	=	SYM
ejpam-6923	165	23	l−1	l−1	PROPN
ejpam-6923	165	24	{	{	PUNCT
ejpam-6923	165	25	(	(	PUNCT
ejpam-6923	165	26	sθ(1−	sθ(1−	PROPN
ejpam-6923	165	27	θ	θ	NOUN
ejpam-6923	165	28	)	)	PUNCT
ejpam-6923	165	29	+	+	NUM
ejpam-6923	165	30	θ	θ	PROPN
ejpam-6923	165	31	sθm(θ	sθm(θ	PROPN
ejpam-6923	165	32	)	)	PUNCT
ejpam-6923	165	33	)	)	PUNCT
ejpam-6923	166	1	l	l	NOUN
ejpam-6923	166	2	{	{	PUNCT
ejpam-6923	166	3	(	(	PUNCT
ejpam-6923	166	4	β	β	X
ejpam-6923	166	5	+	+	X
ejpam-6923	166	6	γ)c0	γ)c0	PROPN
ejpam-6923	166	7	−	−	ADP
ejpam-6923	166	8	αa0	αa0	NOUN
ejpam-6923	166	9	}	}	PUNCT
ejpam-6923	166	10	}	}	PUNCT
ejpam-6923	166	11	,	,	PUNCT
ejpam-6923	166	12	en+1	en+1	PROPN
ejpam-6923	166	13	=	=	SYM
ejpam-6923	166	14	l−1	l−1	PROPN
ejpam-6923	166	15	{	{	PUNCT
ejpam-6923	166	16	(	(	PUNCT
ejpam-6923	166	17	sθ(1−	sθ(1−	PROPN
ejpam-6923	166	18	θ	θ	NOUN
ejpam-6923	166	19	)	)	PUNCT
ejpam-6923	166	20	+	+	NUM
ejpam-6923	166	21	θ	θ	PROPN
ejpam-6923	166	22	sθm(θ	sθm(θ	PROPN
ejpam-6923	166	23	)	)	PUNCT
ejpam-6923	166	24	)	)	PUNCT
ejpam-6923	166	25	l	l	NOUN
ejpam-6923	166	26	{	{	PUNCT
ejpam-6923	166	27	(	(	PUNCT
ejpam-6923	166	28	β	β	X
ejpam-6923	166	29	+	+	PROPN
ejpam-6923	166	30	γ)cn	γ)cn	PROPN
ejpam-6923	166	31	−	−	PROPN
ejpam-6923	166	32	αan	αan	NOUN
ejpam-6923	166	33	}	}	PUNCT
ejpam-6923	166	34	}	}	PUNCT
ejpam-6923	166	35	,	,	PUNCT
ejpam-6923	166	36	n	n	X
ejpam-6923	166	37	≥	≥	NOUN
ejpam-6923	166	38	0	0	NUM
ejpam-6923	166	39	.	.	PUNCT
ejpam-6923	167	1	c0	c0	PROPN
ejpam-6923	167	2	=	=	SYM
ejpam-6923	167	3	c0	c0	PROPN
ejpam-6923	167	4	,	,	PUNCT
ejpam-6923	167	5	c1	c1	PROPN
ejpam-6923	167	6	=	=	SYM
ejpam-6923	167	7	l−1	l−1	PROPN
ejpam-6923	167	8	{	{	PUNCT
ejpam-6923	167	9	(	(	PUNCT
ejpam-6923	167	10	sθ(1−	sθ(1−	PROPN
ejpam-6923	167	11	θ	θ	NOUN
ejpam-6923	167	12	)	)	PUNCT
ejpam-6923	167	13	+	+	NUM
ejpam-6923	167	14	θ	θ	PROPN
ejpam-6923	167	15	sθm(θ	sθm(θ	PROPN
ejpam-6923	167	16	)	)	PUNCT
ejpam-6923	167	17	)	)	PUNCT
ejpam-6923	167	18	l	l	NOUN
ejpam-6923	167	19	{	{	PUNCT
ejpam-6923	167	20	αa0	αa0	PROPN
ejpam-6923	167	21	−	−	PROPN
ejpam-6923	167	22	(	(	PUNCT
ejpam-6923	167	23	β	β	X
ejpam-6923	167	24	+	+	CCONJ
ejpam-6923	167	25	γ)c0	γ)c0	PROPN
ejpam-6923	167	26	}	}	PUNCT
ejpam-6923	167	27	}	}	PUNCT
ejpam-6923	167	28	,	,	PUNCT
ejpam-6923	167	29	cn+1	cn+1	X
ejpam-6923	167	30	=	=	SYM
ejpam-6923	167	31	l−1	l−1	NOUN
ejpam-6923	167	32	{	{	PUNCT
ejpam-6923	167	33	(	(	PUNCT
ejpam-6923	167	34	sθ(1−	sθ(1−	PROPN
ejpam-6923	167	35	θ	θ	NOUN
ejpam-6923	167	36	)	)	PUNCT
ejpam-6923	167	37	+	+	NUM
ejpam-6923	167	38	θ	θ	PROPN
ejpam-6923	167	39	sθm(θ	sθm(θ	PROPN
ejpam-6923	167	40	)	)	PUNCT
ejpam-6923	167	41	)	)	PUNCT
ejpam-6923	167	42	l	l	NOUN
ejpam-6923	167	43	{	{	PUNCT
ejpam-6923	167	44	αan	αan	NOUN
ejpam-6923	167	45	−	−	PROPN
ejpam-6923	167	46	(	(	PUNCT
ejpam-6923	167	47	β	β	X
ejpam-6923	167	48	+	+	X
ejpam-6923	167	49	γ)cn	γ)cn	PROPN
ejpam-6923	167	50	}	}	PUNCT
ejpam-6923	167	51	}	}	PUNCT
ejpam-6923	167	52	,	,	PUNCT
ejpam-6923	167	53	n	n	X
ejpam-6923	167	54	≥	≥	NOUN
ejpam-6923	167	55	0	0	NUM
ejpam-6923	167	56	.	.	PUNCT
ejpam-6923	168	1	p0	p0	NOUN
ejpam-6923	169	1	=	=	PUNCT
ejpam-6923	169	2	p	p	NOUN
ejpam-6923	169	3	0	0	PROPN
ejpam-6923	169	4	,	,	PUNCT
ejpam-6923	169	5	p1	p1	NOUN
ejpam-6923	169	6	=	=	SYM
ejpam-6923	169	7	l−1	l−1	PROPN
ejpam-6923	169	8	{	{	PUNCT
ejpam-6923	169	9	(	(	PUNCT
ejpam-6923	169	10	sθ(1−	sθ(1−	PROPN
ejpam-6923	169	11	θ	θ	NOUN
ejpam-6923	169	12	)	)	PUNCT
ejpam-6923	169	13	+	+	NUM
ejpam-6923	169	14	θ	θ	PROPN
ejpam-6923	169	15	sθm(θ	sθm(θ	PROPN
ejpam-6923	169	16	)	)	PUNCT
ejpam-6923	169	17	)	)	PUNCT
ejpam-6923	170	1	l	l	NOUN
ejpam-6923	170	2	{	{	PUNCT
ejpam-6923	170	3	γc0	γc0	NOUN
ejpam-6923	170	4	}	}	PUNCT
ejpam-6923	170	5	}	}	PUNCT
ejpam-6923	170	6	,	,	PUNCT
ejpam-6923	170	7	pn+1	pn+1	PROPN
ejpam-6923	170	8	=	=	SYM
ejpam-6923	170	9	l−1	l−1	PROPN
ejpam-6923	170	10	{	{	PUNCT
ejpam-6923	170	11	(	(	PUNCT
ejpam-6923	170	12	sθ(1−	sθ(1−	PROPN
ejpam-6923	170	13	θ	θ	NOUN
ejpam-6923	170	14	)	)	PUNCT
ejpam-6923	170	15	+	+	NUM
ejpam-6923	170	16	θ	θ	PROPN
ejpam-6923	170	17	sθm(θ	sθm(θ	PROPN
ejpam-6923	170	18	)	)	PUNCT
ejpam-6923	170	19	)	)	PUNCT
ejpam-6923	170	20	l	l	NOUN
ejpam-6923	170	21	{	{	PUNCT
ejpam-6923	170	22	γcn	γcn	NOUN
ejpam-6923	170	23	}	}	PUNCT
ejpam-6923	170	24	}	}	PUNCT
ejpam-6923	170	25	,	,	PUNCT
ejpam-6923	170	26	n	n	X
ejpam-6923	170	27	≥	≥	NOUN
ejpam-6923	170	28	0	0	NUM
ejpam-6923	170	29	.	.	PUNCT
ejpam-6923	171	1	now	now	ADV
ejpam-6923	171	2	to	to	PART
ejpam-6923	171	3	get	get	VERB
ejpam-6923	171	4	a	a	DET
ejpam-6923	171	5	more	more	ADV
ejpam-6923	171	6	specific	specific	ADJ
ejpam-6923	171	7	approximate	approximate	ADJ
ejpam-6923	171	8	solution	solution	NOUN
ejpam-6923	171	9	from	from	ADP
ejpam-6923	171	10	the	the	DET
ejpam-6923	171	11	above	above	ADJ
ejpam-6923	171	12	general	general	ADJ
ejpam-6923	171	13	solution	solution	NOUN
ejpam-6923	171	14	.	.	PUNCT
ejpam-6923	172	1	consider	consider	VERB
ejpam-6923	172	2	m(θ	m(θ	NOUN
ejpam-6923	172	3	)	)	PUNCT
ejpam-6923	172	4	=	=	SYM
ejpam-6923	172	5	1	1	NUM
ejpam-6923	172	6	,	,	PUNCT
ejpam-6923	172	7	s0	s0	NOUN
ejpam-6923	172	8	=	=	SYM
ejpam-6923	172	9	0.01	0.01	NUM
ejpam-6923	172	10	,	,	PUNCT
ejpam-6923	172	11	e0	e0	PROPN
ejpam-6923	172	12	=	=	SYM
ejpam-6923	172	13	0.0001	0.0001	NUM
ejpam-6923	172	14	,	,	PUNCT
ejpam-6923	172	15	c0	c0	NOUN
ejpam-6923	172	16	=	=	PROPN
ejpam-6923	173	1	p	p	NOUN
ejpam-6923	173	2	0	0	NUM
ejpam-6923	173	3	=	=	SYM
ejpam-6923	173	4	0	0	NUM
ejpam-6923	173	5	,	,	PUNCT
ejpam-6923	173	6	and	and	CCONJ
ejpam-6923	173	7	applying	apply	VERB
ejpam-6923	173	8	the	the	DET
ejpam-6923	173	9	above	above	ADJ
ejpam-6923	173	10	procedure	procedure	NOUN
ejpam-6923	173	11	or	or	CCONJ
ejpam-6923	173	12	formulas	formula	NOUN
ejpam-6923	173	13	,	,	PUNCT
ejpam-6923	173	14	one	one	PRON
ejpam-6923	173	15	may	may	AUX
ejpam-6923	173	16	get	get	VERB
ejpam-6923	173	17	the	the	DET
ejpam-6923	173	18	following	follow	VERB
ejpam-6923	173	19	approximate	approximate	ADJ
ejpam-6923	173	20	solution	solution	NOUN
ejpam-6923	173	21	of	of	ADP
ejpam-6923	173	22	the	the	DET
ejpam-6923	173	23	specified	specified	ADJ
ejpam-6923	173	24	model	model	NOUN
ejpam-6923	173	25	(	(	PUNCT
ejpam-6923	173	26	2	2	NUM
ejpam-6923	173	27	):	):	PUNCT
ejpam-6923	173	28	s(t	s(t	PROPN
ejpam-6923	173	29	)	)	PUNCT
ejpam-6923	173	30	=	=	SYM
ejpam-6923	174	1	0.01−	0.01−	NUM
ejpam-6923	174	2	0.000001α	0.000001α	PROPN
ejpam-6923	174	3	(	(	PUNCT
ejpam-6923	174	4	1−	1−	NUM
ejpam-6923	174	5	θ	θ	NOUN
ejpam-6923	174	6	+	+	CCONJ
ejpam-6923	174	7	tθ	tθ	ADP
ejpam-6923	174	8	γ(θ	γ(θ	NUM
ejpam-6923	174	9	)	)	PUNCT
ejpam-6923	174	10	)	)	PUNCT
ejpam-6923	174	11	,	,	PUNCT
ejpam-6923	174	12	asma	asma	PROPN
ejpam-6923	174	13	et	et	PROPN
ejpam-6923	174	14	al	al	PROPN
ejpam-6923	174	15	.	.	PUNCT
ejpam-6923	174	16	/	/	SYM
ejpam-6923	174	17	eur	eur	PROPN
ejpam-6923	174	18	.	.	PUNCT
ejpam-6923	175	1	j.	j.	PROPN
ejpam-6923	175	2	pure	pure	PROPN
ejpam-6923	175	3	appl	appl	PROPN
ejpam-6923	175	4	.	.	PROPN
ejpam-6923	175	5	math	math	PROPN
ejpam-6923	175	6	,	,	PUNCT
ejpam-6923	175	7	18	18	NUM
ejpam-6923	175	8	(	(	PUNCT
ejpam-6923	175	9	4	4	NUM
ejpam-6923	175	10	)	)	PUNCT
ejpam-6923	175	11	(	(	PUNCT
ejpam-6923	175	12	2025	2025	NUM
ejpam-6923	175	13	)	)	PUNCT
ejpam-6923	175	14	,	,	PUNCT
ejpam-6923	175	15	6923	6923	NUM
ejpam-6923	175	16	10	10	NUM
ejpam-6923	175	17	of	of	ADP
ejpam-6923	175	18	22	22	NUM
ejpam-6923	175	19	e(t	e(t	NOUN
ejpam-6923	175	20	)	)	PUNCT
ejpam-6923	176	1	=	=	SYM
ejpam-6923	176	2	0.0001−	0.0001−	NUM
ejpam-6923	177	1	0.000001α	0.000001α	PROPN
ejpam-6923	177	2	(	(	PUNCT
ejpam-6923	177	3	1−	1−	NUM
ejpam-6923	177	4	θ	θ	NOUN
ejpam-6923	177	5	+	+	CCONJ
ejpam-6923	177	6	tθ	tθ	ADP
ejpam-6923	177	7	γ(θ	γ(θ	NUM
ejpam-6923	177	8	)	)	PUNCT
ejpam-6923	177	9	)	)	PUNCT
ejpam-6923	177	10	,	,	PUNCT
ejpam-6923	177	11	c(t	c(t	PROPN
ejpam-6923	177	12	)	)	PUNCT
ejpam-6923	177	13	=	=	SYM
ejpam-6923	177	14	0.000001α	0.000001α	PROPN
ejpam-6923	177	15	(	(	PUNCT
ejpam-6923	177	16	1−	1−	NUM
ejpam-6923	177	17	θ	θ	NOUN
ejpam-6923	177	18	+	+	CCONJ
ejpam-6923	177	19	tθ	tθ	ADP
ejpam-6923	177	20	γ(θ	γ(θ	NUM
ejpam-6923	177	21	)	)	PUNCT
ejpam-6923	177	22	)	)	PUNCT
ejpam-6923	177	23	,	,	PUNCT
ejpam-6923	177	24	(	(	PUNCT
ejpam-6923	177	25	9	9	X
ejpam-6923	177	26	)	)	PUNCT
ejpam-6923	177	27	p	p	NOUN
ejpam-6923	177	28	(	(	PUNCT
ejpam-6923	177	29	t	t	PROPN
ejpam-6923	177	30	)	)	PUNCT
ejpam-6923	177	31	=	=	SYM
ejpam-6923	177	32	0.000001αγ	0.000001αγ	X
ejpam-6923	178	1	(	(	PUNCT
ejpam-6923	178	2	(	(	PUNCT
ejpam-6923	178	3	1−	1−	NUM
ejpam-6923	178	4	θ)2	θ)2	NOUN
ejpam-6923	178	5	+	+	CCONJ
ejpam-6923	178	6	2(1−	2(1−	NUM
ejpam-6923	178	7	θ)2tθ	θ)2tθ	NOUN
ejpam-6923	178	8	γ(θ	γ(θ	PROPN
ejpam-6923	178	9	)	)	PUNCT
ejpam-6923	178	10	+	+	CCONJ
ejpam-6923	178	11	θtθ+1	θtθ+1	PROPN
ejpam-6923	178	12	(	(	PUNCT
ejpam-6923	178	13	θ	θ	PROPN
ejpam-6923	178	14	+	+	PROPN
ejpam-6923	178	15	1)γ(θ	1)γ(θ	NUM
ejpam-6923	178	16	)	)	PUNCT
ejpam-6923	178	17	)	)	PUNCT
ejpam-6923	178	18	.	.	PUNCT
ejpam-6923	179	1	in	in	ADP
ejpam-6923	179	2	the	the	DET
ejpam-6923	179	3	above	above	ADJ
ejpam-6923	179	4	solution	solution	NOUN
ejpam-6923	179	5	,	,	PUNCT
ejpam-6923	179	6	we	we	PRON
ejpam-6923	179	7	only	only	ADV
ejpam-6923	179	8	present	present	VERB
ejpam-6923	179	9	the	the	DET
ejpam-6923	179	10	first	first	ADJ
ejpam-6923	179	11	two	two	NUM
ejpam-6923	179	12	or	or	CCONJ
ejpam-6923	179	13	three	three	NUM
ejpam-6923	179	14	terms	term	NOUN
ejpam-6923	179	15	of	of	ADP
ejpam-6923	179	16	the	the	DET
ejpam-6923	179	17	solution	solution	NOUN
ejpam-6923	179	18	of	of	ADP
ejpam-6923	179	19	each	each	DET
ejpam-6923	179	20	compartment	compartment	NOUN
ejpam-6923	179	21	of	of	ADP
ejpam-6923	179	22	the	the	DET
ejpam-6923	179	23	specified	specified	ADJ
ejpam-6923	179	24	model	model	NOUN
ejpam-6923	179	25	.	.	PUNCT
ejpam-6923	180	1	one	one	PRON
ejpam-6923	180	2	can	can	AUX
ejpam-6923	180	3	get	get	VERB
ejpam-6923	180	4	more	more	ADJ
ejpam-6923	180	5	terms	term	NOUN
ejpam-6923	180	6	with	with	ADP
ejpam-6923	180	7	the	the	DET
ejpam-6923	180	8	help	help	NOUN
ejpam-6923	180	9	of	of	ADP
ejpam-6923	180	10	the	the	DET
ejpam-6923	180	11	abovementioned	abovementioned	ADJ
ejpam-6923	180	12	procedure	procedure	NOUN
ejpam-6923	180	13	,	,	PUNCT
ejpam-6923	180	14	leading	lead	VERB
ejpam-6923	180	15	to	to	ADP
ejpam-6923	180	16	a	a	DET
ejpam-6923	180	17	more	more	ADV
ejpam-6923	180	18	precise	precise	ADJ
ejpam-6923	180	19	approximation	approximation	NOUN
ejpam-6923	180	20	of	of	ADP
ejpam-6923	180	21	the	the	DET
ejpam-6923	180	22	dynamics	dynamic	NOUN
ejpam-6923	180	23	of	of	ADP
ejpam-6923	180	24	the	the	DET
ejpam-6923	180	25	concerned	concerned	ADJ
ejpam-6923	180	26	model	model	NOUN
ejpam-6923	180	27	.	.	PUNCT
ejpam-6923	181	1	to	to	PART
ejpam-6923	181	2	properly	properly	ADV
ejpam-6923	181	3	understand	understand	VERB
ejpam-6923	181	4	the	the	DET
ejpam-6923	181	5	physical	physical	ADJ
ejpam-6923	181	6	and	and	CCONJ
ejpam-6923	181	7	geometrical	geometrical	ADJ
ejpam-6923	181	8	meaning	meaning	NOUN
ejpam-6923	181	9	of	of	ADP
ejpam-6923	181	10	the	the	DET
ejpam-6923	181	11	enzymatic	enzymatic	ADJ
ejpam-6923	181	12	reaction	reaction	NOUN
ejpam-6923	181	13	given	give	VERB
ejpam-6923	181	14	in	in	ADP
ejpam-6923	181	15	the	the	DET
ejpam-6923	181	16	shape	shape	NOUN
ejpam-6923	181	17	of	of	ADP
ejpam-6923	181	18	model	model	NOUN
ejpam-6923	181	19	(	(	PUNCT
ejpam-6923	181	20	2	2	NUM
ejpam-6923	181	21	)	)	PUNCT
ejpam-6923	181	22	,	,	PUNCT
ejpam-6923	181	23	we	we	PRON
ejpam-6923	181	24	have	have	VERB
ejpam-6923	181	25	the	the	DET
ejpam-6923	181	26	following	follow	VERB
ejpam-6923	181	27	visualizations	visualization	NOUN
ejpam-6923	181	28	with	with	ADP
ejpam-6923	181	29	complete	complete	ADJ
ejpam-6923	181	30	descriptions	description	NOUN
ejpam-6923	181	31	.	.	PUNCT
ejpam-6923	182	1	0	0	NUM
ejpam-6923	182	2	2	2	NUM
ejpam-6923	182	3	4	4	NUM
ejpam-6923	182	4	6	6	NUM
ejpam-6923	182	5	8	8	NUM
ejpam-6923	182	6	10	10	NUM
ejpam-6923	182	7	t	t	PROPN
ejpam-6923	182	8	9.996	9.996	NUM
ejpam-6923	182	9	9.9965	9.9965	NUM
ejpam-6923	182	10	9.997	9.997	NUM
ejpam-6923	182	11	9.9975	9.9975	NUM
ejpam-6923	182	12	9.998	9.998	NUM
ejpam-6923	182	13	9.9985	9.9985	NUM
ejpam-6923	182	14	9.999	9.999	NUM
ejpam-6923	182	15	9.9995	9.9995	NUM
ejpam-6923	182	16	10	10	NUM
ejpam-6923	182	17	s	s	NOUN
ejpam-6923	182	18	(	(	PUNCT
ejpam-6923	182	19	t	t	PROPN
ejpam-6923	182	20	)	)	PUNCT
ejpam-6923	182	21	×10	×10	PROPN
ejpam-6923	182	22	-	-	SYM
ejpam-6923	182	23	3	3	NUM
ejpam-6923	182	24	θ	θ	NOUN
ejpam-6923	182	25	=	=	PUNCT
ejpam-6923	182	26	0.45	0.45	NUM
ejpam-6923	182	27	θ	θ	NOUN
ejpam-6923	182	28	=	=	SYM
ejpam-6923	182	29	0.5	0.5	NUM
ejpam-6923	182	30	θ	θ	NOUN
ejpam-6923	182	31	=	=	PUNCT
ejpam-6923	182	32	0.55	0.55	NUM
ejpam-6923	182	33	θ	θ	NOUN
ejpam-6923	182	34	=	=	PUNCT
ejpam-6923	182	35	0.6	0.6	NUM
ejpam-6923	182	36	θ	θ	NOUN
ejpam-6923	182	37	=	=	SYM
ejpam-6923	183	1	0.65	0.65	NUM
ejpam-6923	183	2	0	0	NUM
ejpam-6923	183	3	2	2	NUM
ejpam-6923	183	4	4	4	NUM
ejpam-6923	183	5	6	6	NUM
ejpam-6923	183	6	8	8	NUM
ejpam-6923	183	7	10	10	NUM
ejpam-6923	183	8	t	t	NOUN
ejpam-6923	183	9	9.6	9.6	NUM
ejpam-6923	183	10	9.65	9.65	NUM
ejpam-6923	183	11	9.7	9.7	NUM
ejpam-6923	183	12	9.75	9.75	NUM
ejpam-6923	183	13	9.8	9.8	NUM
ejpam-6923	183	14	9.85	9.85	NUM
ejpam-6923	183	15	9.9	9.9	NUM
ejpam-6923	183	16	9.95	9.95	NUM
ejpam-6923	183	17	10	10	NUM
ejpam-6923	183	18	e	e	NOUN
ejpam-6923	183	19	(	(	PUNCT
ejpam-6923	183	20	t	t	PROPN
ejpam-6923	183	21	)	)	PUNCT
ejpam-6923	183	22	×10	×10	PROPN
ejpam-6923	183	23	-	-	SYM
ejpam-6923	183	24	5	5	NUM
ejpam-6923	183	25	θ	θ	NOUN
ejpam-6923	183	26	=	=	PUNCT
ejpam-6923	183	27	0.45	0.45	NUM
ejpam-6923	183	28	θ	θ	NOUN
ejpam-6923	183	29	=	=	SYM
ejpam-6923	183	30	0.5	0.5	NUM
ejpam-6923	183	31	θ	θ	NOUN
ejpam-6923	183	32	=	=	PUNCT
ejpam-6923	183	33	0.55	0.55	NUM
ejpam-6923	183	34	θ	θ	NOUN
ejpam-6923	183	35	=	=	PUNCT
ejpam-6923	183	36	0.6	0.6	NUM
ejpam-6923	183	37	θ	θ	NOUN
ejpam-6923	183	38	=	=	SYM
ejpam-6923	184	1	0.65	0.65	NUM
ejpam-6923	184	2	0	0	NUM
ejpam-6923	184	3	2	2	NUM
ejpam-6923	184	4	4	4	NUM
ejpam-6923	184	5	6	6	NUM
ejpam-6923	184	6	8	8	NUM
ejpam-6923	184	7	10	10	NUM
ejpam-6923	184	8	t	t	NOUN
ejpam-6923	184	9	0	0	NUM
ejpam-6923	184	10	0.5	0.5	NUM
ejpam-6923	184	11	1	1	NUM
ejpam-6923	184	12	1.5	1.5	NUM
ejpam-6923	184	13	2	2	NUM
ejpam-6923	184	14	2.5	2.5	NUM
ejpam-6923	184	15	3	3	NUM
ejpam-6923	184	16	3.5	3.5	NUM
ejpam-6923	184	17	4	4	NUM
ejpam-6923	184	18	c	c	NOUN
ejpam-6923	184	19	(	(	PUNCT
ejpam-6923	184	20	t	t	PROPN
ejpam-6923	184	21	)	)	PUNCT
ejpam-6923	184	22	×10	×10	PROPN
ejpam-6923	184	23	-	-	SYM
ejpam-6923	184	24	6	6	NUM
ejpam-6923	184	25	θ	θ	NOUN
ejpam-6923	184	26	=	=	PUNCT
ejpam-6923	184	27	0.45	0.45	NUM
ejpam-6923	184	28	θ	θ	NOUN
ejpam-6923	184	29	=	=	SYM
ejpam-6923	184	30	0.5	0.5	NUM
ejpam-6923	184	31	θ	θ	NOUN
ejpam-6923	184	32	=	=	PUNCT
ejpam-6923	184	33	0.55	0.55	NUM
ejpam-6923	184	34	θ	θ	NOUN
ejpam-6923	184	35	=	=	PUNCT
ejpam-6923	184	36	0.6	0.6	NUM
ejpam-6923	184	37	θ	θ	NOUN
ejpam-6923	184	38	=	=	SYM
ejpam-6923	185	1	0.65	0.65	NUM
ejpam-6923	185	2	0	0	NUM
ejpam-6923	185	3	2	2	NUM
ejpam-6923	185	4	4	4	NUM
ejpam-6923	185	5	6	6	NUM
ejpam-6923	185	6	8	8	NUM
ejpam-6923	185	7	10	10	NUM
ejpam-6923	185	8	t	t	NOUN
ejpam-6923	185	9	0	0	NUM
ejpam-6923	185	10	2	2	NUM
ejpam-6923	185	11	4	4	NUM
ejpam-6923	185	12	6	6	NUM
ejpam-6923	185	13	8	8	NUM
ejpam-6923	185	14	10	10	NUM
ejpam-6923	185	15	12	12	NUM
ejpam-6923	185	16	14	14	NUM
ejpam-6923	185	17	p	p	NOUN
ejpam-6923	185	18	(	(	PUNCT
ejpam-6923	185	19	t	t	PROPN
ejpam-6923	185	20	)	)	PUNCT
ejpam-6923	185	21	θ	θ	PROPN
ejpam-6923	185	22	=	=	PUNCT
ejpam-6923	185	23	0.45	0.45	NUM
ejpam-6923	185	24	θ	θ	NOUN
ejpam-6923	185	25	=	=	SYM
ejpam-6923	185	26	0.5	0.5	NUM
ejpam-6923	185	27	θ	θ	NOUN
ejpam-6923	185	28	=	=	PUNCT
ejpam-6923	185	29	0.55	0.55	NUM
ejpam-6923	185	30	θ	θ	NOUN
ejpam-6923	185	31	=	=	PUNCT
ejpam-6923	185	32	0.6	0.6	NUM
ejpam-6923	185	33	θ	θ	NOUN
ejpam-6923	185	34	=	=	SYM
ejpam-6923	185	35	0.65	0.65	NUM
ejpam-6923	185	36	figure	figure	NOUN
ejpam-6923	185	37	3	3	NUM
ejpam-6923	185	38	:	:	PUNCT
ejpam-6923	185	39	investigating	investigate	VERB
ejpam-6923	185	40	s(t	s(t	PROPN
ejpam-6923	185	41	)	)	PUNCT
ejpam-6923	185	42	,	,	PUNCT
ejpam-6923	185	43	e(t	e(t	NOUN
ejpam-6923	185	44	)	)	PUNCT
ejpam-6923	185	45	,	,	PUNCT
ejpam-6923	185	46	c(t	c(t	PROPN
ejpam-6923	185	47	)	)	PUNCT
ejpam-6923	185	48	,	,	PUNCT
ejpam-6923	185	49	p	p	X
ejpam-6923	185	50	(	(	PUNCT
ejpam-6923	185	51	t	t	NOUN
ejpam-6923	185	52	)	)	PUNCT
ejpam-6923	185	53	visually	visually	ADV
ejpam-6923	185	54	for	for	ADP
ejpam-6923	185	55	various	various	ADJ
ejpam-6923	185	56	θ	θ	PROPN
ejpam-6923	185	57	values	value	NOUN
ejpam-6923	185	58	and	and	CCONJ
ejpam-6923	185	59	for	for	ADP
ejpam-6923	185	60	fixed	fix	VERB
ejpam-6923	185	61	values	value	NOUN
ejpam-6923	185	62	of	of	ADP
ejpam-6923	185	63	α	α	NOUN
ejpam-6923	185	64	=	=	SYM
ejpam-6923	185	65	γ	γ	X
ejpam-6923	185	66	=	=	SYM
ejpam-6923	185	67	m(θ	m(θ	PROPN
ejpam-6923	185	68	)	)	PUNCT
ejpam-6923	185	69	=	=	PUNCT
ejpam-6923	185	70	1.0	1.0	NUM
ejpam-6923	185	71	.	.	PUNCT
ejpam-6923	186	1	asma	asma	PROPN
ejpam-6923	186	2	et	et	PROPN
ejpam-6923	186	3	al	al	PROPN
ejpam-6923	186	4	.	.	PUNCT
ejpam-6923	186	5	/	/	SYM
ejpam-6923	186	6	eur	eur	PROPN
ejpam-6923	186	7	.	.	PUNCT
ejpam-6923	187	1	j.	j.	PROPN
ejpam-6923	187	2	pure	pure	PROPN
ejpam-6923	187	3	appl	appl	PROPN
ejpam-6923	187	4	.	.	PROPN
ejpam-6923	187	5	math	math	PROPN
ejpam-6923	187	6	,	,	PUNCT
ejpam-6923	187	7	18	18	NUM
ejpam-6923	187	8	(	(	PUNCT
ejpam-6923	187	9	4	4	NUM
ejpam-6923	187	10	)	)	PUNCT
ejpam-6923	187	11	(	(	PUNCT
ejpam-6923	187	12	2025	2025	NUM
ejpam-6923	187	13	)	)	PUNCT
ejpam-6923	187	14	,	,	PUNCT
ejpam-6923	187	15	6923	6923	NUM
ejpam-6923	187	16	11	11	NUM
ejpam-6923	187	17	of	of	ADP
ejpam-6923	187	18	22	22	NUM
ejpam-6923	187	19	0	0	NUM
ejpam-6923	187	20	2	2	NUM
ejpam-6923	187	21	4	4	NUM
ejpam-6923	187	22	6	6	NUM
ejpam-6923	187	23	8	8	NUM
ejpam-6923	187	24	10	10	NUM
ejpam-6923	187	25	t	t	PROPN
ejpam-6923	187	26	9.9982	9.9982	NUM
ejpam-6923	187	27	9.9984	9.9984	NUM
ejpam-6923	187	28	9.9986	9.9986	NUM
ejpam-6923	187	29	9.9988	9.9988	NUM
ejpam-6923	187	30	9.999	9.999	NUM
ejpam-6923	187	31	9.9992	9.9992	NUM
ejpam-6923	187	32	9.9994	9.9994	NUM
ejpam-6923	187	33	s	s	NOUN
ejpam-6923	187	34	(	(	PUNCT
ejpam-6923	187	35	t	t	PROPN
ejpam-6923	187	36	)	)	PUNCT
ejpam-6923	187	37	×10	×10	PROPN
ejpam-6923	187	38	-	-	SYM
ejpam-6923	187	39	3	3	NUM
ejpam-6923	187	40	θ	θ	NOUN
ejpam-6923	187	41	=	=	PUNCT
ejpam-6923	187	42	0.2	0.2	NUM
ejpam-6923	187	43	θ	θ	NOUN
ejpam-6923	187	44	=	=	PUNCT
ejpam-6923	187	45	0.25	0.25	NUM
ejpam-6923	187	46	θ	θ	NOUN
ejpam-6923	187	47	=	=	PUNCT
ejpam-6923	187	48	0.3	0.3	NUM
ejpam-6923	187	49	θ	θ	NOUN
ejpam-6923	187	50	=	=	PUNCT
ejpam-6923	187	51	0.35	0.35	NUM
ejpam-6923	187	52	θ	θ	NOUN
ejpam-6923	187	53	=	=	PUNCT
ejpam-6923	187	54	0.4	0.4	NUM
ejpam-6923	187	55	0	0	NUM
ejpam-6923	187	56	2	2	NUM
ejpam-6923	187	57	4	4	NUM
ejpam-6923	187	58	6	6	NUM
ejpam-6923	187	59	8	8	NUM
ejpam-6923	187	60	10	10	NUM
ejpam-6923	187	61	t	t	NOUN
ejpam-6923	187	62	9.82	9.82	NUM
ejpam-6923	187	63	9.84	9.84	NUM
ejpam-6923	187	64	9.86	9.86	NUM
ejpam-6923	187	65	9.88	9.88	NUM
ejpam-6923	187	66	9.9	9.9	NUM
ejpam-6923	187	67	9.92	9.92	NUM
ejpam-6923	187	68	9.94	9.94	NUM
ejpam-6923	187	69	e	e	X
ejpam-6923	187	70	(	(	PUNCT
ejpam-6923	187	71	t	t	PROPN
ejpam-6923	187	72	)	)	PUNCT
ejpam-6923	187	73	×10	×10	PROPN
ejpam-6923	187	74	-	-	SYM
ejpam-6923	187	75	5	5	NUM
ejpam-6923	187	76	θ	θ	NOUN
ejpam-6923	187	77	=	=	PUNCT
ejpam-6923	187	78	0.2	0.2	NUM
ejpam-6923	187	79	θ	θ	NOUN
ejpam-6923	187	80	=	=	PUNCT
ejpam-6923	187	81	0.25	0.25	NUM
ejpam-6923	187	82	θ	θ	NOUN
ejpam-6923	187	83	=	=	PUNCT
ejpam-6923	187	84	0.3	0.3	NUM
ejpam-6923	187	85	θ	θ	NOUN
ejpam-6923	187	86	=	=	PUNCT
ejpam-6923	187	87	0.35	0.35	NUM
ejpam-6923	187	88	θ	θ	NOUN
ejpam-6923	187	89	=	=	PUNCT
ejpam-6923	187	90	0.4	0.4	NUM
ejpam-6923	187	91	0	0	NUM
ejpam-6923	187	92	2	2	NUM
ejpam-6923	187	93	4	4	NUM
ejpam-6923	187	94	6	6	NUM
ejpam-6923	187	95	8	8	NUM
ejpam-6923	187	96	10	10	NUM
ejpam-6923	187	97	t	t	NOUN
ejpam-6923	187	98	0.6	0.6	NUM
ejpam-6923	187	99	0.8	0.8	NUM
ejpam-6923	187	100	1	1	NUM
ejpam-6923	187	101	1.2	1.2	NUM
ejpam-6923	187	102	1.4	1.4	NUM
ejpam-6923	187	103	1.6	1.6	NUM
ejpam-6923	187	104	1.8	1.8	NUM
ejpam-6923	187	105	c	c	NOUN
ejpam-6923	187	106	(	(	PUNCT
ejpam-6923	187	107	t	t	PROPN
ejpam-6923	187	108	)	)	PUNCT
ejpam-6923	187	109	×10	×10	PROPN
ejpam-6923	187	110	-	-	SYM
ejpam-6923	187	111	6	6	NUM
ejpam-6923	187	112	θ	θ	NOUN
ejpam-6923	187	113	=	=	PUNCT
ejpam-6923	187	114	0.2	0.2	NUM
ejpam-6923	187	115	θ	θ	NOUN
ejpam-6923	187	116	=	=	PUNCT
ejpam-6923	187	117	0.25	0.25	NUM
ejpam-6923	187	118	θ	θ	NOUN
ejpam-6923	187	119	=	=	PUNCT
ejpam-6923	187	120	0.3	0.3	NUM
ejpam-6923	187	121	θ	θ	NOUN
ejpam-6923	187	122	=	=	PUNCT
ejpam-6923	187	123	0.35	0.35	NUM
ejpam-6923	187	124	θ	θ	NOUN
ejpam-6923	187	125	=	=	PUNCT
ejpam-6923	187	126	0.4	0.4	NUM
ejpam-6923	187	127	0	0	NUM
ejpam-6923	187	128	2	2	NUM
ejpam-6923	187	129	4	4	NUM
ejpam-6923	187	130	6	6	NUM
ejpam-6923	187	131	8	8	NUM
ejpam-6923	187	132	10	10	NUM
ejpam-6923	187	133	t	t	NOUN
ejpam-6923	187	134	0	0	NUM
ejpam-6923	187	135	0.5	0.5	NUM
ejpam-6923	187	136	1	1	NUM
ejpam-6923	187	137	1.5	1.5	NUM
ejpam-6923	187	138	2	2	NUM
ejpam-6923	187	139	2.5	2.5	NUM
ejpam-6923	187	140	3	3	NUM
ejpam-6923	187	141	3.5	3.5	NUM
ejpam-6923	187	142	4	4	NUM
ejpam-6923	187	143	4.5	4.5	NUM
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ejpam-6923	187	145	(	(	PUNCT
ejpam-6923	187	146	t	t	PROPN
ejpam-6923	187	147	)	)	PUNCT
ejpam-6923	187	148	θ	θ	PROPN
ejpam-6923	188	1	=	=	PUNCT
ejpam-6923	188	2	0.2	0.2	NUM
ejpam-6923	188	3	θ	θ	NOUN
ejpam-6923	188	4	=	=	PUNCT
ejpam-6923	188	5	0.25	0.25	NUM
ejpam-6923	188	6	θ	θ	NOUN
ejpam-6923	188	7	=	=	PUNCT
ejpam-6923	188	8	0.3	0.3	NUM
ejpam-6923	188	9	θ	θ	NOUN
ejpam-6923	188	10	=	=	PUNCT
ejpam-6923	188	11	0.35	0.35	NUM
ejpam-6923	188	12	θ	θ	NOUN
ejpam-6923	188	13	=	=	SYM
ejpam-6923	188	14	0.4	0.4	NUM
ejpam-6923	188	15	figure	figure	NOUN
ejpam-6923	188	16	4	4	NUM
ejpam-6923	188	17	:	:	PUNCT
ejpam-6923	188	18	investigating	investigate	VERB
ejpam-6923	188	19	s(t	s(t	PROPN
ejpam-6923	188	20	)	)	PUNCT
ejpam-6923	188	21	,	,	PUNCT
ejpam-6923	188	22	e(t	e(t	NOUN
ejpam-6923	188	23	)	)	PUNCT
ejpam-6923	188	24	,	,	PUNCT
ejpam-6923	188	25	c(t	c(t	PROPN
ejpam-6923	188	26	)	)	PUNCT
ejpam-6923	188	27	,	,	PUNCT
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ejpam-6923	188	29	(	(	PUNCT
ejpam-6923	188	30	t	t	NOUN
ejpam-6923	188	31	)	)	PUNCT
ejpam-6923	188	32	visually	visually	ADV
ejpam-6923	188	33	for	for	ADP
ejpam-6923	188	34	various	various	ADJ
ejpam-6923	188	35	θ	θ	PROPN
ejpam-6923	188	36	values	value	NOUN
ejpam-6923	188	37	and	and	CCONJ
ejpam-6923	188	38	for	for	ADP
ejpam-6923	188	39	fixed	fix	VERB
ejpam-6923	188	40	values	value	NOUN
ejpam-6923	188	41	of	of	ADP
ejpam-6923	188	42	α	α	NOUN
ejpam-6923	188	43	=	=	SYM
ejpam-6923	188	44	γ	γ	X
ejpam-6923	188	45	=	=	SYM
ejpam-6923	188	46	m(θ	m(θ	PROPN
ejpam-6923	188	47	)	)	PUNCT
ejpam-6923	188	48	=	=	PUNCT
ejpam-6923	188	49	1.0	1.0	NUM
ejpam-6923	188	50	.	.	NOUN
ejpam-6923	188	51	0	0	NUM
ejpam-6923	189	1	0.2	0.2	NUM
ejpam-6923	189	2	0.4	0.4	NUM
ejpam-6923	189	3	0.6	0.6	NUM
ejpam-6923	189	4	0.8	0.8	NUM
ejpam-6923	189	5	1	1	NUM
ejpam-6923	189	6	θ	θ	NOUN
ejpam-6923	189	7	1	1	NUM
ejpam-6923	189	8	1.01	1.01	NUM
ejpam-6923	189	9	1.02	1.02	NUM
ejpam-6923	189	10	1.03	1.03	NUM
ejpam-6923	189	11	1.04	1.04	NUM
ejpam-6923	189	12	1.05	1.05	NUM
ejpam-6923	189	13	1.06	1.06	NUM
ejpam-6923	189	14	1.07	1.07	NUM
ejpam-6923	189	15	1.08	1.08	NUM
ejpam-6923	189	16	1.09	1.09	NUM
ejpam-6923	189	17	s	s	NOUN
ejpam-6923	189	18	(	(	PUNCT
ejpam-6923	189	19	t	t	PROPN
ejpam-6923	189	20	)	)	PUNCT
ejpam-6923	189	21	0	0	NUM
ejpam-6923	189	22	0.2	0.2	NUM
ejpam-6923	189	23	0.4	0.4	NUM
ejpam-6923	189	24	0.6	0.6	NUM
ejpam-6923	189	25	0.8	0.8	NUM
ejpam-6923	189	26	1	1	NUM
ejpam-6923	189	27	θ	θ	NOUN
ejpam-6923	189	28	1	1	NUM
ejpam-6923	189	29	1.01	1.01	NUM
ejpam-6923	189	30	1.02	1.02	NUM
ejpam-6923	189	31	1.03	1.03	NUM
ejpam-6923	189	32	1.04	1.04	NUM
ejpam-6923	189	33	1.05	1.05	NUM
ejpam-6923	189	34	1.06	1.06	NUM
ejpam-6923	189	35	1.07	1.07	NUM
ejpam-6923	189	36	1.08	1.08	NUM
ejpam-6923	189	37	e	e	NOUN
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ejpam-6923	189	39	t	t	PROPN
ejpam-6923	189	40	)	)	PUNCT
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ejpam-6923	189	42	et	et	PROPN
ejpam-6923	189	43	al	al	PROPN
ejpam-6923	189	44	.	.	PUNCT
ejpam-6923	189	45	/	/	SYM
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ejpam-6923	189	47	.	.	PUNCT
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ejpam-6923	190	6	,	,	PUNCT
ejpam-6923	190	7	18	18	NUM
ejpam-6923	190	8	(	(	PUNCT
ejpam-6923	190	9	4	4	NUM
ejpam-6923	190	10	)	)	PUNCT
ejpam-6923	190	11	(	(	PUNCT
ejpam-6923	190	12	2025	2025	NUM
ejpam-6923	190	13	)	)	PUNCT
ejpam-6923	190	14	,	,	PUNCT
ejpam-6923	190	15	6923	6923	NUM
ejpam-6923	190	16	12	12	NUM
ejpam-6923	190	17	of	of	ADP
ejpam-6923	190	18	22	22	NUM
ejpam-6923	190	19	0	0	NUM
ejpam-6923	191	1	0.2	0.2	NUM
ejpam-6923	191	2	0.4	0.4	NUM
ejpam-6923	191	3	0.6	0.6	NUM
ejpam-6923	191	4	0.8	0.8	NUM
ejpam-6923	191	5	1	1	NUM
ejpam-6923	191	6	θ	θ	NOUN
ejpam-6923	191	7	1	1	NUM
ejpam-6923	191	8	1.01	1.01	NUM
ejpam-6923	191	9	1.02	1.02	NUM
ejpam-6923	191	10	1.03	1.03	NUM
ejpam-6923	191	11	1.04	1.04	NUM
ejpam-6923	191	12	1.05	1.05	NUM
ejpam-6923	191	13	1.06	1.06	NUM
ejpam-6923	191	14	1.07	1.07	NUM
ejpam-6923	191	15	1.08	1.08	NUM
ejpam-6923	191	16	c	c	NOUN
ejpam-6923	191	17	(	(	PUNCT
ejpam-6923	191	18	t	t	PROPN
ejpam-6923	191	19	)	)	PUNCT
ejpam-6923	191	20	0	0	NUM
ejpam-6923	191	21	0.2	0.2	NUM
ejpam-6923	191	22	0.4	0.4	NUM
ejpam-6923	191	23	0.6	0.6	NUM
ejpam-6923	191	24	0.8	0.8	NUM
ejpam-6923	191	25	1	1	NUM
ejpam-6923	191	26	θ	θ	NOUN
ejpam-6923	191	27	4	4	NUM
ejpam-6923	191	28	5	5	NUM
ejpam-6923	191	29	6	6	NUM
ejpam-6923	191	30	7	7	NUM
ejpam-6923	191	31	8	8	NUM
ejpam-6923	191	32	9	9	NUM
ejpam-6923	191	33	10	10	NUM
ejpam-6923	191	34	p	p	NOUN
ejpam-6923	191	35	(	(	PUNCT
ejpam-6923	191	36	t	t	PROPN
ejpam-6923	191	37	)	)	PUNCT
ejpam-6923	191	38	×10	×10	PROPN
ejpam-6923	191	39	-	-	SYM
ejpam-6923	191	40	7	7	NUM
ejpam-6923	191	41	figure	figure	NOUN
ejpam-6923	191	42	5	5	NUM
ejpam-6923	191	43	:	:	PUNCT
ejpam-6923	191	44	investigating	investigate	VERB
ejpam-6923	191	45	s(t	s(t	PROPN
ejpam-6923	191	46	)	)	PUNCT
ejpam-6923	191	47	,	,	PUNCT
ejpam-6923	191	48	e(t	e(t	NOUN
ejpam-6923	191	49	)	)	PUNCT
ejpam-6923	191	50	,	,	PUNCT
ejpam-6923	191	51	c(t	c(t	PROPN
ejpam-6923	191	52	)	)	PUNCT
ejpam-6923	191	53	,	,	PUNCT
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ejpam-6923	191	55	(	(	PUNCT
ejpam-6923	191	56	t	t	NOUN
ejpam-6923	191	57	)	)	PUNCT
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ejpam-6923	191	59	against	against	ADP
ejpam-6923	191	60	θ	θ	PROPN
ejpam-6923	191	61	for	for	ADP
ejpam-6923	191	62	fixed	fix	VERB
ejpam-6923	191	63	values	value	NOUN
ejpam-6923	191	64	of	of	ADP
ejpam-6923	191	65	t	t	NOUN
ejpam-6923	191	66	=	=	PUNCT
ejpam-6923	191	67	α	α	NOUN
ejpam-6923	191	68	=	=	PUNCT
ejpam-6923	191	69	γ	γ	X
ejpam-6923	191	70	=	=	SYM
ejpam-6923	191	71	m(θ	m(θ	PROPN
ejpam-6923	191	72	)	)	PUNCT
ejpam-6923	191	73	=	=	PUNCT
ejpam-6923	191	74	1.0	1.0	NUM
ejpam-6923	191	75	.	.	NOUN
ejpam-6923	191	76	0	0	NUM
ejpam-6923	192	1	θ	θ	NOUN
ejpam-6923	192	2	0.59.998	0.59.998	NUM
ejpam-6923	192	3	9.9985	9.9985	NUM
ejpam-6923	192	4	1	1	NUM
ejpam-6923	192	5	9.999	9.999	NUM
ejpam-6923	192	6	0.8	0.8	NUM
ejpam-6923	192	7	α	α	NOUN
ejpam-6923	192	8	s	s	X
ejpam-6923	192	9	(	(	PUNCT
ejpam-6923	192	10	t	t	PROPN
ejpam-6923	192	11	)	)	PUNCT
ejpam-6923	192	12	×10	×10	PROPN
ejpam-6923	192	13	-	-	PUNCT
ejpam-6923	192	14	3	3	NUM
ejpam-6923	192	15	9.9995	9.9995	NUM
ejpam-6923	192	16	0.6	0.6	NUM
ejpam-6923	192	17	10	10	NUM
ejpam-6923	192	18	0.4	0.4	NUM
ejpam-6923	192	19	10.2	10.2	NUM
ejpam-6923	192	20	10.0005	10.0005	NUM
ejpam-6923	192	21	0	0	NUM
ejpam-6923	192	22	0	0	NUM
ejpam-6923	192	23	θ	θ	NOUN
ejpam-6923	192	24	0.59.8	0.59.8	NUM
ejpam-6923	192	25	1	1	NUM
ejpam-6923	192	26	9.85	9.85	NUM
ejpam-6923	192	27	0.8	0.8	NUM
ejpam-6923	192	28	α	α	NOUN
ejpam-6923	192	29	0.6	0.6	NUM
ejpam-6923	192	30	9.9	9.9	NUM
ejpam-6923	192	31	0.4	0.4	NUM
ejpam-6923	192	32	e	e	X
ejpam-6923	192	33	(	(	PUNCT
ejpam-6923	192	34	t	t	PROPN
ejpam-6923	192	35	)	)	PUNCT
ejpam-6923	192	36	×10	×10	PROPN
ejpam-6923	192	37	-	-	SYM
ejpam-6923	192	38	5	5	NUM
ejpam-6923	193	1	10.2	10.2	NUM
ejpam-6923	193	2	0	0	NUM
ejpam-6923	193	3	9.95	9.95	NUM
ejpam-6923	193	4	10	10	NUM
ejpam-6923	193	5	1	1	NUM
ejpam-6923	193	6	0.8	0.8	NUM
ejpam-6923	193	7	0.60	0.60	NUM
ejpam-6923	193	8	θ	θ	NOUN
ejpam-6923	193	9	0	0	NUM
ejpam-6923	193	10	0.4	0.4	NUM
ejpam-6923	193	11	0.5	0.5	NUM
ejpam-6923	193	12	0.2	0.2	NUM
ejpam-6923	193	13	α	α	NUM
ejpam-6923	193	14	0.4	0.4	NUM
ejpam-6923	193	15	0.2	0.2	NUM
ejpam-6923	193	16	1	1	NUM
ejpam-6923	193	17	c	c	NOUN
ejpam-6923	193	18	(	(	PUNCT
ejpam-6923	193	19	t	t	PROPN
ejpam-6923	193	20	)	)	PUNCT
ejpam-6923	193	21	×10	×10	PROPN
ejpam-6923	193	22	-	-	PUNCT
ejpam-6923	193	23	6	6	NUM
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ejpam-6923	193	25	0.8	0.8	NUM
ejpam-6923	193	26	1.5	1.5	NUM
ejpam-6923	193	27	01	01	NUM
ejpam-6923	193	28	2	2	NUM
ejpam-6923	193	29	0	0	NUM
ejpam-6923	193	30	1	1	NUM
ejpam-6923	193	31	0.1	0.1	NUM
ejpam-6923	193	32	0.2	0.2	NUM
ejpam-6923	193	33	1	1	NUM
ejpam-6923	193	34	p	p	NOUN
ejpam-6923	193	35	(	(	PUNCT
ejpam-6923	193	36	t	t	PROPN
ejpam-6923	193	37	)	)	PUNCT
ejpam-6923	193	38	0.3	0.3	NUM
ejpam-6923	193	39	0.8	0.8	NUM
ejpam-6923	193	40	θ	θ	NOUN
ejpam-6923	193	41	0.4	0.4	NUM
ejpam-6923	193	42	0.5	0.5	NUM
ejpam-6923	193	43	0.6	0.6	NUM
ejpam-6923	193	44	α	α	PROPN
ejpam-6923	193	45	0.5	0.5	NUM
ejpam-6923	193	46	0.4	0.4	NUM
ejpam-6923	193	47	0.2	0.2	NUM
ejpam-6923	193	48	0	0	NUM
ejpam-6923	193	49	0	0	NUM
ejpam-6923	193	50	figure	figure	NOUN
ejpam-6923	193	51	6	6	NUM
ejpam-6923	193	52	:	:	PUNCT
ejpam-6923	193	53	investigating	investigate	VERB
ejpam-6923	193	54	s(t	s(t	PROPN
ejpam-6923	193	55	)	)	PUNCT
ejpam-6923	193	56	,	,	PUNCT
ejpam-6923	193	57	e(t	e(t	NOUN
ejpam-6923	193	58	)	)	PUNCT
ejpam-6923	193	59	,	,	PUNCT
ejpam-6923	193	60	c(t	c(t	PROPN
ejpam-6923	193	61	)	)	PUNCT
ejpam-6923	193	62	,	,	PUNCT
ejpam-6923	193	63	p	p	X
ejpam-6923	193	64	(	(	PUNCT
ejpam-6923	193	65	t	t	NOUN
ejpam-6923	193	66	)	)	PUNCT
ejpam-6923	193	67	visually	visually	ADV
ejpam-6923	193	68	against	against	ADP
ejpam-6923	193	69	α	α	NOUN
ejpam-6923	193	70	,	,	PUNCT
ejpam-6923	193	71	θ	θ	PROPN
ejpam-6923	193	72	and	and	CCONJ
ejpam-6923	193	73	for	for	ADP
ejpam-6923	193	74	fixed	fix	VERB
ejpam-6923	193	75	values	value	NOUN
ejpam-6923	193	76	of	of	ADP
ejpam-6923	193	77	t	t	NOUN
ejpam-6923	193	78	=	=	SYM
ejpam-6923	193	79	γ	γ	X
ejpam-6923	193	80	=	=	SYM
ejpam-6923	193	81	m(θ	m(θ	PROPN
ejpam-6923	193	82	)	)	PUNCT
ejpam-6923	193	83	=	=	PUNCT
ejpam-6923	193	84	1.0	1.0	NUM
ejpam-6923	193	85	.	.	PUNCT
ejpam-6923	194	1	asma	asma	PROPN
ejpam-6923	194	2	et	et	PROPN
ejpam-6923	194	3	al	al	PROPN
ejpam-6923	194	4	.	.	PUNCT
ejpam-6923	194	5	/	/	SYM
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ejpam-6923	195	9	4	4	NUM
ejpam-6923	195	10	)	)	PUNCT
ejpam-6923	195	11	(	(	PUNCT
ejpam-6923	195	12	2025	2025	NUM
ejpam-6923	195	13	)	)	PUNCT
ejpam-6923	195	14	,	,	PUNCT
ejpam-6923	195	15	6923	6923	NUM
ejpam-6923	195	16	13	13	NUM
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ejpam-6923	195	18	22	22	NUM
ejpam-6923	195	19	0.2	0.2	NUM
ejpam-6923	195	20	1	1	NUM
ejpam-6923	195	21	0.4	0.4	NUM
ejpam-6923	195	22	0.6	0.6	NUM
ejpam-6923	195	23	0.8	0.8	NUM
ejpam-6923	195	24	s	s	NOUN
ejpam-6923	195	25	(	(	PUNCT
ejpam-6923	195	26	t	t	PROPN
ejpam-6923	195	27	)	)	PUNCT
ejpam-6923	195	28	1	1	NUM
ejpam-6923	195	29	1	1	NUM
ejpam-6923	195	30	0.8	0.8	NUM
ejpam-6923	195	31	1.2	1.2	NUM
ejpam-6923	195	32	α	α	NUM
ejpam-6923	195	33	0.5	0.5	NUM
ejpam-6923	195	34	0.6	0.6	NUM
ejpam-6923	195	35	t	t	NOUN
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ejpam-6923	195	37	0.2	0.2	NUM
ejpam-6923	195	38	0	0	NUM
ejpam-6923	195	39	0	0	NUM
ejpam-6923	195	40	0.2	0.2	NUM
ejpam-6923	195	41	1	1	NUM
ejpam-6923	195	42	0.4	0.4	NUM
ejpam-6923	195	43	0.6	0.6	NUM
ejpam-6923	195	44	1	1	NUM
ejpam-6923	195	45	e	e	X
ejpam-6923	195	46	(	(	PUNCT
ejpam-6923	195	47	t	t	PROPN
ejpam-6923	195	48	)	)	PUNCT
ejpam-6923	195	49	0.8	0.8	NUM
ejpam-6923	195	50	0.8	0.8	NUM
ejpam-6923	195	51	α	α	NUM
ejpam-6923	195	52	1	1	NUM
ejpam-6923	195	53	0.5	0.5	NUM
ejpam-6923	195	54	0.6	0.6	NUM
ejpam-6923	195	55	t	t	PROPN
ejpam-6923	195	56	1.2	1.2	NUM
ejpam-6923	195	57	0.4	0.4	NUM
ejpam-6923	195	58	0.2	0.2	NUM
ejpam-6923	195	59	0	0	NUM
ejpam-6923	195	60	0	0	NUM
ejpam-6923	195	61	0	0	NUM
ejpam-6923	195	62	1	1	NUM
ejpam-6923	195	63	0.2	0.2	NUM
ejpam-6923	195	64	0.4	0.4	NUM
ejpam-6923	195	65	1	1	NUM
ejpam-6923	195	66	0.6	0.6	NUM
ejpam-6923	195	67	c	c	NOUN
ejpam-6923	195	68	(	(	PUNCT
ejpam-6923	195	69	t	t	PROPN
ejpam-6923	195	70	)	)	PUNCT
ejpam-6923	195	71	0.8	0.8	NUM
ejpam-6923	195	72	0.8	0.8	NUM
ejpam-6923	195	73	α	α	NUM
ejpam-6923	195	74	0.5	0.5	NUM
ejpam-6923	195	75	1	1	NUM
ejpam-6923	195	76	0.6	0.6	NUM
ejpam-6923	195	77	t	t	PROPN
ejpam-6923	195	78	1.2	1.2	NUM
ejpam-6923	195	79	0.4	0.4	NUM
ejpam-6923	195	80	0.2	0.2	NUM
ejpam-6923	195	81	0	0	NUM
ejpam-6923	195	82	0	0	NUM
ejpam-6923	195	83	0	0	NUM
ejpam-6923	195	84	1	1	NUM
ejpam-6923	195	85	0.1	0.1	NUM
ejpam-6923	195	86	0.2	0.2	NUM
ejpam-6923	195	87	1	1	NUM
ejpam-6923	195	88	p	p	NOUN
ejpam-6923	195	89	(	(	PUNCT
ejpam-6923	195	90	t	t	PROPN
ejpam-6923	195	91	)	)	PUNCT
ejpam-6923	195	92	0.3	0.3	NUM
ejpam-6923	195	93	0.8	0.8	NUM
ejpam-6923	195	94	α	α	NUM
ejpam-6923	195	95	0.4	0.4	NUM
ejpam-6923	195	96	0.5	0.5	NUM
ejpam-6923	195	97	0.6	0.6	NUM
ejpam-6923	195	98	t	t	PROPN
ejpam-6923	195	99	0.5	0.5	NUM
ejpam-6923	195	100	0.4	0.4	NUM
ejpam-6923	195	101	0.2	0.2	NUM
ejpam-6923	195	102	0	0	NUM
ejpam-6923	195	103	0	0	NUM
ejpam-6923	195	104	figure	figure	NOUN
ejpam-6923	195	105	7	7	NUM
ejpam-6923	195	106	:	:	PUNCT
ejpam-6923	195	107	investigating	investigate	VERB
ejpam-6923	195	108	s(t	s(t	PROPN
ejpam-6923	195	109	)	)	PUNCT
ejpam-6923	195	110	,	,	PUNCT
ejpam-6923	195	111	e(t	e(t	NOUN
ejpam-6923	195	112	)	)	PUNCT
ejpam-6923	195	113	,	,	PUNCT
ejpam-6923	195	114	c(t	c(t	PROPN
ejpam-6923	195	115	)	)	PUNCT
ejpam-6923	195	116	,	,	PUNCT
ejpam-6923	195	117	p	p	X
ejpam-6923	195	118	(	(	PUNCT
ejpam-6923	195	119	t	t	NOUN
ejpam-6923	195	120	)	)	PUNCT
ejpam-6923	195	121	visually	visually	ADV
ejpam-6923	195	122	against	against	ADP
ejpam-6923	195	123	t	t	PROPN
ejpam-6923	195	124	,	,	PUNCT
ejpam-6923	195	125	α	α	NOUN
ejpam-6923	195	126	and	and	CCONJ
ejpam-6923	195	127	for	for	ADP
ejpam-6923	195	128	fixed	fix	VERB
ejpam-6923	195	129	values	value	NOUN
ejpam-6923	195	130	of	of	ADP
ejpam-6923	195	131	θ	θ	PROPN
ejpam-6923	195	132	=	=	PUNCT
ejpam-6923	195	133	0.8	0.8	NUM
ejpam-6923	195	134	,	,	PUNCT
ejpam-6923	195	135	γ	γ	X
ejpam-6923	195	136	=	=	SYM
ejpam-6923	195	137	m(θ	m(θ	PROPN
ejpam-6923	195	138	)	)	PUNCT
ejpam-6923	195	139	=	=	PUNCT
ejpam-6923	195	140	1.0	1.0	NUM
ejpam-6923	195	141	.	.	PUNCT
ejpam-6923	196	1	9.9988	9.9988	NUM
ejpam-6923	196	2	1	1	NUM
ejpam-6923	196	3	9.999	9.999	NUM
ejpam-6923	196	4	9.9992	9.9992	NUM
ejpam-6923	196	5	1	1	NUM
ejpam-6923	196	6	9.9994	9.9994	NUM
ejpam-6923	196	7	×10	×10	NOUN
ejpam-6923	196	8	-	-	SYM
ejpam-6923	196	9	3	3	NUM
ejpam-6923	196	10	s	s	PART
ejpam-6923	196	11	(	(	PUNCT
ejpam-6923	196	12	t	t	PROPN
ejpam-6923	196	13	)	)	PUNCT
ejpam-6923	196	14	9.9996	9.9996	NUM
ejpam-6923	196	15	0.8	0.8	NUM
ejpam-6923	196	16	θ	θ	NOUN
ejpam-6923	196	17	0.5	0.5	NUM
ejpam-6923	196	18	9.9998	9.9998	NUM
ejpam-6923	196	19	0.6	0.6	NUM
ejpam-6923	196	20	t	t	PROPN
ejpam-6923	196	21	10	10	NUM
ejpam-6923	196	22	0.4	0.4	NUM
ejpam-6923	196	23	0.2	0.2	NUM
ejpam-6923	196	24	0	0	NUM
ejpam-6923	196	25	0	0	NUM
ejpam-6923	196	26	9.88	9.88	NUM
ejpam-6923	196	27	1	1	NUM
ejpam-6923	196	28	9.9	9.9	NUM
ejpam-6923	196	29	9.92	9.92	NUM
ejpam-6923	196	30	1	1	NUM
ejpam-6923	196	31	9.94	9.94	NUM
ejpam-6923	196	32	×10	×10	NOUN
ejpam-6923	196	33	-	-	SYM
ejpam-6923	196	34	5	5	NUM
ejpam-6923	196	35	e	e	NOUN
ejpam-6923	196	36	(	(	PUNCT
ejpam-6923	196	37	t	t	PROPN
ejpam-6923	196	38	)	)	PUNCT
ejpam-6923	196	39	9.96	9.96	NUM
ejpam-6923	196	40	0.8	0.8	NUM
ejpam-6923	196	41	θ	θ	NOUN
ejpam-6923	196	42	0.5	0.5	NUM
ejpam-6923	196	43	9.98	9.98	NUM
ejpam-6923	196	44	0.6	0.6	NUM
ejpam-6923	196	45	t	t	PROPN
ejpam-6923	196	46	10	10	NUM
ejpam-6923	196	47	0.4	0.4	NUM
ejpam-6923	196	48	0.2	0.2	NUM
ejpam-6923	196	49	0	0	NUM
ejpam-6923	196	50	0	0	NUM
ejpam-6923	196	51	asma	asma	PROPN
ejpam-6923	196	52	et	et	PROPN
ejpam-6923	196	53	al	al	PROPN
ejpam-6923	196	54	.	.	PUNCT
ejpam-6923	196	55	/	/	SYM
ejpam-6923	196	56	eur	eur	PROPN
ejpam-6923	196	57	.	.	PUNCT
ejpam-6923	197	1	j.	j.	PROPN
ejpam-6923	197	2	pure	pure	PROPN
ejpam-6923	197	3	appl	appl	PROPN
ejpam-6923	197	4	.	.	PROPN
ejpam-6923	197	5	math	math	PROPN
ejpam-6923	197	6	,	,	PUNCT
ejpam-6923	197	7	18	18	NUM
ejpam-6923	197	8	(	(	PUNCT
ejpam-6923	197	9	4	4	NUM
ejpam-6923	197	10	)	)	PUNCT
ejpam-6923	197	11	(	(	PUNCT
ejpam-6923	197	12	2025	2025	NUM
ejpam-6923	197	13	)	)	PUNCT
ejpam-6923	197	14	,	,	PUNCT
ejpam-6923	197	15	6923	6923	NUM
ejpam-6923	197	16	14	14	NUM
ejpam-6923	197	17	of	of	ADP
ejpam-6923	197	18	22	22	NUM
ejpam-6923	197	19	0	0	NUM
ejpam-6923	197	20	1	1	NUM
ejpam-6923	197	21	0.2	0.2	NUM
ejpam-6923	197	22	0.4	0.4	NUM
ejpam-6923	197	23	1	1	NUM
ejpam-6923	197	24	0.6	0.6	NUM
ejpam-6923	197	25	×10	×10	NOUN
ejpam-6923	197	26	-	-	SYM
ejpam-6923	197	27	6	6	NUM
ejpam-6923	197	28	c	c	NOUN
ejpam-6923	197	29	(	(	PUNCT
ejpam-6923	197	30	t	t	PROPN
ejpam-6923	197	31	)	)	PUNCT
ejpam-6923	197	32	0.8	0.8	NUM
ejpam-6923	197	33	0.8	0.8	NUM
ejpam-6923	197	34	θ	θ	NOUN
ejpam-6923	197	35	0.5	0.5	NUM
ejpam-6923	197	36	1	1	NUM
ejpam-6923	197	37	0.6	0.6	NUM
ejpam-6923	197	38	t	t	PROPN
ejpam-6923	197	39	1.2	1.2	NUM
ejpam-6923	197	40	0.4	0.4	NUM
ejpam-6923	197	41	0.2	0.2	NUM
ejpam-6923	197	42	0	0	NUM
ejpam-6923	197	43	0	0	NUM
ejpam-6923	197	44	0	0	NUM
ejpam-6923	197	45	1	1	NUM
ejpam-6923	197	46	0.2	0.2	NUM
ejpam-6923	197	47	0.4	0.4	NUM
ejpam-6923	197	48	1	1	NUM
ejpam-6923	197	49	×10	×10	NOUN
ejpam-6923	197	50	-	-	SYM
ejpam-6923	197	51	6	6	NUM
ejpam-6923	197	52	p	p	NOUN
ejpam-6923	197	53	(	(	PUNCT
ejpam-6923	197	54	t	t	PROPN
ejpam-6923	197	55	)	)	PUNCT
ejpam-6923	197	56	0.6	0.6	NUM
ejpam-6923	197	57	0.8	0.8	NUM
ejpam-6923	197	58	θ	θ	NOUN
ejpam-6923	197	59	0.8	0.8	NUM
ejpam-6923	197	60	0.5	0.5	NUM
ejpam-6923	197	61	0.6	0.6	NUM
ejpam-6923	197	62	t	t	PROPN
ejpam-6923	197	63	1	1	NUM
ejpam-6923	197	64	0.4	0.4	NUM
ejpam-6923	197	65	0.2	0.2	NUM
ejpam-6923	197	66	0	0	NUM
ejpam-6923	197	67	0	0	NUM
ejpam-6923	197	68	figure	figure	NOUN
ejpam-6923	197	69	8	8	NUM
ejpam-6923	197	70	:	:	PUNCT
ejpam-6923	197	71	investigating	investigate	VERB
ejpam-6923	197	72	s(t	s(t	PROPN
ejpam-6923	197	73	)	)	PUNCT
ejpam-6923	197	74	,	,	PUNCT
ejpam-6923	197	75	e(t	e(t	NOUN
ejpam-6923	197	76	)	)	PUNCT
ejpam-6923	197	77	,	,	PUNCT
ejpam-6923	197	78	c(t	c(t	PROPN
ejpam-6923	197	79	)	)	PUNCT
ejpam-6923	197	80	,	,	PUNCT
ejpam-6923	197	81	p	p	X
ejpam-6923	197	82	(	(	PUNCT
ejpam-6923	197	83	t	t	NOUN
ejpam-6923	197	84	)	)	PUNCT
ejpam-6923	197	85	visually	visually	ADV
ejpam-6923	197	86	against	against	ADP
ejpam-6923	197	87	t	t	PROPN
ejpam-6923	197	88	,	,	PUNCT
ejpam-6923	197	89	θ	θ	PROPN
ejpam-6923	197	90	and	and	CCONJ
ejpam-6923	197	91	for	for	ADP
ejpam-6923	197	92	fixed	fix	VERB
ejpam-6923	197	93	values	value	NOUN
ejpam-6923	197	94	of	of	ADP
ejpam-6923	197	95	α	α	NOUN
ejpam-6923	197	96	=	=	SYM
ejpam-6923	197	97	γ	γ	X
ejpam-6923	197	98	=	=	SYM
ejpam-6923	197	99	m(θ	m(θ	PROPN
ejpam-6923	197	100	)	)	PUNCT
ejpam-6923	197	101	=	=	PUNCT
ejpam-6923	197	102	1.0	1.0	NUM
ejpam-6923	197	103	.	.	PUNCT
ejpam-6923	198	1	from	from	ADP
ejpam-6923	198	2	figures	figure	NOUN
ejpam-6923	198	3	3–8	3–8	NUM
ejpam-6923	198	4	,	,	PUNCT
ejpam-6923	198	5	the	the	DET
ejpam-6923	198	6	graphical	graphical	ADJ
ejpam-6923	198	7	simulations	simulation	NOUN
ejpam-6923	198	8	reveal	reveal	VERB
ejpam-6923	198	9	the	the	DET
ejpam-6923	198	10	detailed	detailed	ADJ
ejpam-6923	198	11	influence	influence	NOUN
ejpam-6923	198	12	of	of	ADP
ejpam-6923	198	13	fractional	fractional	ADJ
ejpam-6923	198	14	derivatives	derivative	NOUN
ejpam-6923	198	15	on	on	ADP
ejpam-6923	198	16	the	the	DET
ejpam-6923	198	17	enzymatic	enzymatic	ADJ
ejpam-6923	198	18	reaction	reaction	NOUN
ejpam-6923	198	19	model	model	NOUN
ejpam-6923	198	20	.	.	PUNCT
ejpam-6923	199	1	figure	figure	VERB
ejpam-6923	199	2	3	3	NUM
ejpam-6923	199	3	presents	present	VERB
ejpam-6923	199	4	two	two	NUM
ejpam-6923	199	5	-	-	PUNCT
ejpam-6923	199	6	dimensional	dimensional	ADJ
ejpam-6923	199	7	profiles	profile	NOUN
ejpam-6923	199	8	of	of	ADP
ejpam-6923	199	9	the	the	DET
ejpam-6923	199	10	system	system	NOUN
ejpam-6923	199	11	variables	variable	NOUN
ejpam-6923	199	12	,	,	PUNCT
ejpam-6923	199	13	where	where	SCONJ
ejpam-6923	199	14	the	the	DET
ejpam-6923	199	15	substrate	substrate	NOUN
ejpam-6923	199	16	and	and	CCONJ
ejpam-6923	199	17	enzyme	enzyme	NOUN
ejpam-6923	199	18	concentrations	concentration	NOUN
ejpam-6923	199	19	decrease	decrease	VERB
ejpam-6923	199	20	over	over	ADP
ejpam-6923	199	21	time	time	NOUN
ejpam-6923	199	22	,	,	PUNCT
ejpam-6923	199	23	while	while	SCONJ
ejpam-6923	199	24	the	the	DET
ejpam-6923	199	25	product	product	NOUN
ejpam-6923	199	26	and	and	CCONJ
ejpam-6923	199	27	enzyme	enzyme	NOUN
ejpam-6923	199	28	-	-	PUNCT
ejpam-6923	199	29	substrate	substrate	NOUN
ejpam-6923	199	30	complex	complex	ADJ
ejpam-6923	199	31	increase	increase	NOUN
ejpam-6923	199	32	,	,	PUNCT
ejpam-6923	199	33	reflecting	reflect	VERB
ejpam-6923	199	34	the	the	DET
ejpam-6923	199	35	natural	natural	ADJ
ejpam-6923	199	36	progression	progression	NOUN
ejpam-6923	199	37	of	of	ADP
ejpam-6923	199	38	biochemical	biochemical	ADJ
ejpam-6923	199	39	reactions	reaction	NOUN
ejpam-6923	199	40	.	.	PUNCT
ejpam-6923	200	1	the	the	DET
ejpam-6923	200	2	effect	effect	NOUN
ejpam-6923	200	3	of	of	ADP
ejpam-6923	200	4	fractional	fractional	ADJ
ejpam-6923	200	5	order	order	NOUN
ejpam-6923	200	6	is	be	AUX
ejpam-6923	200	7	evident	evident	ADJ
ejpam-6923	200	8	:	:	PUNCT
ejpam-6923	200	9	smaller	small	ADJ
ejpam-6923	200	10	values	value	NOUN
ejpam-6923	200	11	yield	yield	VERB
ejpam-6923	200	12	smoother	smooth	ADJ
ejpam-6923	200	13	and	and	CCONJ
ejpam-6923	200	14	more	more	ADV
ejpam-6923	200	15	stable	stable	ADJ
ejpam-6923	200	16	trajectories	trajectory	NOUN
ejpam-6923	200	17	,	,	PUNCT
ejpam-6923	200	18	indicating	indicate	VERB
ejpam-6923	200	19	the	the	DET
ejpam-6923	200	20	stabilizing	stabilize	VERB
ejpam-6923	200	21	role	role	NOUN
ejpam-6923	200	22	of	of	ADP
ejpam-6923	200	23	memory	memory	NOUN
ejpam-6923	200	24	effects	effect	NOUN
ejpam-6923	200	25	.	.	PUNCT
ejpam-6923	201	1	figure	figure	VERB
ejpam-6923	201	2	4	4	NUM
ejpam-6923	201	3	reinforces	reinforce	VERB
ejpam-6923	201	4	this	this	DET
ejpam-6923	201	5	observation	observation	NOUN
ejpam-6923	201	6	by	by	ADP
ejpam-6923	201	7	showing	show	VERB
ejpam-6923	201	8	that	that	SCONJ
ejpam-6923	201	9	decreasing	decrease	VERB
ejpam-6923	201	10	fractional	fractional	ADJ
ejpam-6923	201	11	values	value	NOUN
ejpam-6923	201	12	significantly	significantly	ADV
ejpam-6923	201	13	alters	alter	VERB
ejpam-6923	201	14	the	the	DET
ejpam-6923	201	15	shape	shape	NOUN
ejpam-6923	201	16	of	of	ADP
ejpam-6923	201	17	the	the	DET
ejpam-6923	201	18	curves	curve	NOUN
ejpam-6923	201	19	,	,	PUNCT
ejpam-6923	201	20	driving	drive	VERB
ejpam-6923	201	21	the	the	DET
ejpam-6923	201	22	system	system	NOUN
ejpam-6923	201	23	toward	toward	ADP
ejpam-6923	201	24	a	a	DET
ejpam-6923	201	25	stable	stable	ADJ
ejpam-6923	201	26	state	state	NOUN
ejpam-6923	201	27	and	and	CCONJ
ejpam-6923	201	28	confirming	confirm	VERB
ejpam-6923	201	29	the	the	DET
ejpam-6923	201	30	positive	positive	ADJ
ejpam-6923	201	31	role	role	NOUN
ejpam-6923	201	32	of	of	ADP
ejpam-6923	201	33	fractional	fractional	ADJ
ejpam-6923	201	34	derivatives	derivative	NOUN
ejpam-6923	201	35	in	in	ADP
ejpam-6923	201	36	system	system	NOUN
ejpam-6923	201	37	dynamics	dynamic	NOUN
ejpam-6923	201	38	.	.	PUNCT
ejpam-6923	202	1	in	in	ADP
ejpam-6923	202	2	figure	figure	NOUN
ejpam-6923	202	3	4	4	NUM
ejpam-6923	202	4	,	,	PUNCT
ejpam-6923	202	5	the	the	DET
ejpam-6923	202	6	relationship	relationship	NOUN
ejpam-6923	202	7	between	between	ADP
ejpam-6923	202	8	fractional	fractional	ADJ
ejpam-6923	202	9	order	order	NOUN
ejpam-6923	202	10	and	and	CCONJ
ejpam-6923	202	11	solution	solution	NOUN
ejpam-6923	202	12	behavior	behavior	NOUN
ejpam-6923	202	13	at	at	ADP
ejpam-6923	202	14	a	a	DET
ejpam-6923	202	15	fixed	fix	VERB
ejpam-6923	202	16	time	time	NOUN
ejpam-6923	202	17	is	be	AUX
ejpam-6923	202	18	displayed	display	VERB
ejpam-6923	202	19	.	.	PUNCT
ejpam-6923	203	1	the	the	DET
ejpam-6923	203	2	substrate	substrate	NOUN
ejpam-6923	203	3	,	,	PUNCT
ejpam-6923	203	4	enzyme	enzyme	NOUN
ejpam-6923	203	5	,	,	PUNCT
ejpam-6923	203	6	and	and	CCONJ
ejpam-6923	203	7	complex	complex	ADJ
ejpam-6923	203	8	concentrations	concentration	NOUN
ejpam-6923	203	9	follow	follow	VERB
ejpam-6923	203	10	bell	bell	NOUN
ejpam-6923	203	11	-	-	PUNCT
ejpam-6923	203	12	shaped	shape	VERB
ejpam-6923	203	13	profiles	profile	NOUN
ejpam-6923	203	14	with	with	ADP
ejpam-6923	203	15	maxima	maxima	NOUN
ejpam-6923	203	16	near	near	ADP
ejpam-6923	203	17	the	the	DET
ejpam-6923	203	18	midpoint	midpoint	NOUN
ejpam-6923	203	19	of	of	ADP
ejpam-6923	203	20	the	the	DET
ejpam-6923	203	21	interval	interval	NOUN
ejpam-6923	203	22	,	,	PUNCT
ejpam-6923	203	23	while	while	SCONJ
ejpam-6923	203	24	the	the	DET
ejpam-6923	203	25	product	product	NOUN
ejpam-6923	203	26	concentration	concentration	NOUN
ejpam-6923	203	27	exhibits	exhibit	VERB
ejpam-6923	203	28	a	a	DET
ejpam-6923	203	29	distinct	distinct	ADJ
ejpam-6923	203	30	and	and	CCONJ
ejpam-6923	203	31	non	non	ADJ
ejpam-6923	203	32	-	-	ADJ
ejpam-6923	203	33	symmetric	symmetric	ADJ
ejpam-6923	203	34	trend	trend	NOUN
ejpam-6923	203	35	,	,	PUNCT
ejpam-6923	203	36	highlighting	highlight	VERB
ejpam-6923	203	37	its	its	PRON
ejpam-6923	203	38	unique	unique	ADJ
ejpam-6923	203	39	contribution	contribution	NOUN
ejpam-6923	203	40	to	to	PART
ejpam-6923	203	41	system	system	NOUN
ejpam-6923	203	42	evolution	evolution	NOUN
ejpam-6923	203	43	.	.	PUNCT
ejpam-6923	204	1	moving	move	VERB
ejpam-6923	204	2	to	to	ADP
ejpam-6923	204	3	three	three	NUM
ejpam-6923	204	4	-	-	PUNCT
ejpam-6923	204	5	dimensional	dimensional	ADJ
ejpam-6923	204	6	visualizations	visualization	NOUN
ejpam-6923	204	7	,	,	PUNCT
ejpam-6923	204	8	figure	figure	VERB
ejpam-6923	204	9	6	6	NUM
ejpam-6923	204	10	illustrates	illustrate	VERB
ejpam-6923	204	11	the	the	DET
ejpam-6923	204	12	combined	combined	ADJ
ejpam-6923	204	13	effect	effect	NOUN
ejpam-6923	204	14	of	of	ADP
ejpam-6923	204	15	fractional	fractional	ADJ
ejpam-6923	204	16	order	order	NOUN
ejpam-6923	204	17	θ	θ	NOUN
ejpam-6923	204	18	and	and	CCONJ
ejpam-6923	204	19	parameter	parameter	PROPN
ejpam-6923	204	20	α	α	PROPN
ejpam-6923	204	21	on	on	ADP
ejpam-6923	204	22	the	the	DET
ejpam-6923	204	23	solutions	solution	NOUN
ejpam-6923	204	24	.	.	PUNCT
ejpam-6923	205	1	the	the	DET
ejpam-6923	205	2	figure	figure	NOUN
ejpam-6923	205	3	makes	make	VERB
ejpam-6923	205	4	it	it	PRON
ejpam-6923	205	5	clear	clear	ADJ
ejpam-6923	205	6	that	that	SCONJ
ejpam-6923	205	7	these	these	DET
ejpam-6923	205	8	two	two	NUM
ejpam-6923	205	9	parameters	parameter	NOUN
ejpam-6923	205	10	jointly	jointly	ADV
ejpam-6923	205	11	shape	shape	VERB
ejpam-6923	205	12	stability	stability	NOUN
ejpam-6923	205	13	and	and	CCONJ
ejpam-6923	205	14	long	long	ADJ
ejpam-6923	205	15	-	-	PUNCT
ejpam-6923	205	16	term	term	NOUN
ejpam-6923	205	17	dynamics	dynamic	NOUN
ejpam-6923	205	18	,	,	PUNCT
ejpam-6923	205	19	emphasizing	emphasize	VERB
ejpam-6923	205	20	their	their	PRON
ejpam-6923	205	21	central	central	ADJ
ejpam-6923	205	22	role	role	NOUN
ejpam-6923	205	23	in	in	ADP
ejpam-6923	205	24	fractional	fractional	ADJ
ejpam-6923	205	25	modeling	modeling	NOUN
ejpam-6923	205	26	.	.	PUNCT
ejpam-6923	206	1	figure	figure	VERB
ejpam-6923	206	2	7	7	NUM
ejpam-6923	206	3	further	further	ADJ
ejpam-6923	206	4	explores	explore	NOUN
ejpam-6923	206	5	the	the	DET
ejpam-6923	206	6	solutions	solution	NOUN
ejpam-6923	206	7	with	with	ADP
ejpam-6923	206	8	respect	respect	NOUN
ejpam-6923	206	9	to	to	ADP
ejpam-6923	206	10	time	time	NOUN
ejpam-6923	206	11	and	and	CCONJ
ejpam-6923	206	12	parameter	parameter	NOUN
ejpam-6923	206	13	α	α	NOUN
ejpam-6923	206	14	,	,	PUNCT
ejpam-6923	206	15	for	for	ADP
ejpam-6923	206	16	a	a	DET
ejpam-6923	206	17	fixed	fix	VERB
ejpam-6923	206	18	value	value	NOUN
ejpam-6923	206	19	of	of	ADP
ejpam-6923	206	20	θ	θ	PROPN
ejpam-6923	206	21	.	.	PUNCT
ejpam-6923	207	1	the	the	DET
ejpam-6923	207	2	resulting	result	VERB
ejpam-6923	207	3	surfaces	surface	NOUN
ejpam-6923	207	4	demonstrate	demonstrate	VERB
ejpam-6923	207	5	how	how	SCONJ
ejpam-6923	207	6	both	both	DET
ejpam-6923	207	7	time	time	NOUN
ejpam-6923	207	8	evolution	evolution	NOUN
ejpam-6923	207	9	and	and	CCONJ
ejpam-6923	207	10	parameter	parameter	NOUN
ejpam-6923	207	11	variation	variation	NOUN
ejpam-6923	207	12	influence	influence	NOUN
ejpam-6923	207	13	the	the	DET
ejpam-6923	207	14	system	system	NOUN
ejpam-6923	207	15	simultaneously	simultaneously	ADV
ejpam-6923	207	16	,	,	PUNCT
ejpam-6923	207	17	producing	produce	VERB
ejpam-6923	207	18	complex	complex	ADJ
ejpam-6923	207	19	but	but	CCONJ
ejpam-6923	207	20	interpretable	interpretable	ADJ
ejpam-6923	207	21	dynamics	dynamic	NOUN
ejpam-6923	207	22	.	.	PUNCT
ejpam-6923	208	1	finally	finally	ADV
ejpam-6923	208	2	,	,	PUNCT
ejpam-6923	208	3	figure	figure	VERB
ejpam-6923	208	4	8	8	NUM
ejpam-6923	208	5	examines	examine	VERB
ejpam-6923	208	6	the	the	DET
ejpam-6923	208	7	interaction	interaction	NOUN
ejpam-6923	208	8	of	of	ADP
ejpam-6923	208	9	time	time	NOUN
ejpam-6923	208	10	and	and	CCONJ
ejpam-6923	208	11	fractional	fractional	ADJ
ejpam-6923	208	12	order	order	NOUN
ejpam-6923	208	13	,	,	PUNCT
ejpam-6923	208	14	providing	provide	VERB
ejpam-6923	208	15	a	a	DET
ejpam-6923	208	16	full	full	ADJ
ejpam-6923	208	17	three	three	NUM
ejpam-6923	208	18	-	-	PUNCT
ejpam-6923	208	19	dimensional	dimensional	ADJ
ejpam-6923	208	20	description	description	NOUN
ejpam-6923	208	21	of	of	ADP
ejpam-6923	208	22	the	the	DET
ejpam-6923	208	23	system	system	NOUN
ejpam-6923	208	24	behavior	behavior	NOUN
ejpam-6923	208	25	.	.	PUNCT
ejpam-6923	209	1	the	the	DET
ejpam-6923	209	2	solutions	solution	NOUN
ejpam-6923	209	3	in	in	ADP
ejpam-6923	209	4	this	this	DET
ejpam-6923	209	5	case	case	NOUN
ejpam-6923	209	6	display	display	VERB
ejpam-6923	209	7	distinct	distinct	ADJ
ejpam-6923	209	8	patterns	pattern	NOUN
ejpam-6923	209	9	compared	compare	VERB
ejpam-6923	209	10	to	to	ADP
ejpam-6923	209	11	the	the	DET
ejpam-6923	209	12	previous	previous	ADJ
ejpam-6923	209	13	figure	figure	NOUN
ejpam-6923	209	14	,	,	PUNCT
ejpam-6923	209	15	highlighting	highlight	VERB
ejpam-6923	209	16	how	how	SCONJ
ejpam-6923	209	17	fractional	fractional	ADJ
ejpam-6923	209	18	order	order	NOUN
ejpam-6923	209	19	fundamentally	fundamentally	ADV
ejpam-6923	209	20	alters	alter	VERB
ejpam-6923	209	21	the	the	DET
ejpam-6923	209	22	trajectory	trajectory	NOUN
ejpam-6923	209	23	of	of	ADP
ejpam-6923	209	24	each	each	DET
ejpam-6923	209	25	state	state	NOUN
ejpam-6923	209	26	variable	variable	NOUN
ejpam-6923	209	27	.	.	PUNCT
ejpam-6923	210	1	collectively	collectively	ADV
ejpam-6923	210	2	,	,	PUNCT
ejpam-6923	210	3	these	these	DET
ejpam-6923	210	4	results	result	NOUN
ejpam-6923	210	5	demonstrate	demonstrate	VERB
ejpam-6923	210	6	that	that	SCONJ
ejpam-6923	210	7	fractional	fractional	ADJ
ejpam-6923	210	8	-	-	PUNCT
ejpam-6923	210	9	order	order	NOUN
ejpam-6923	210	10	derivatives	derivative	NOUN
ejpam-6923	210	11	capture	capture	VERB
ejpam-6923	210	12	memory	memory	NOUN
ejpam-6923	210	13	and	and	CCONJ
ejpam-6923	210	14	long	long	ADJ
ejpam-6923	210	15	-	-	PUNCT
ejpam-6923	210	16	term	term	NOUN
ejpam-6923	210	17	dependencies	dependency	NOUN
ejpam-6923	210	18	more	more	ADV
ejpam-6923	210	19	effectively	effectively	ADV
ejpam-6923	210	20	than	than	ADP
ejpam-6923	210	21	classical	classical	ADJ
ejpam-6923	210	22	approaches	approach	NOUN
ejpam-6923	210	23	,	,	PUNCT
ejpam-6923	210	24	offering	offer	VERB
ejpam-6923	210	25	a	a	DET
ejpam-6923	210	26	richer	rich	ADJ
ejpam-6923	210	27	and	and	CCONJ
ejpam-6923	210	28	more	more	ADV
ejpam-6923	210	29	realistic	realistic	ADJ
ejpam-6923	210	30	framework	framework	NOUN
ejpam-6923	210	31	for	for	ADP
ejpam-6923	210	32	modeling	model	VERB
ejpam-6923	210	33	biochemical	biochemical	ADJ
ejpam-6923	210	34	processes	process	NOUN
ejpam-6923	210	35	.	.	PUNCT
ejpam-6923	211	1	asma	asma	PROPN
ejpam-6923	211	2	et	et	PROPN
ejpam-6923	211	3	al	al	PROPN
ejpam-6923	211	4	.	.	PUNCT
ejpam-6923	211	5	/	/	SYM
ejpam-6923	211	6	eur	eur	PROPN
ejpam-6923	211	7	.	.	PUNCT
ejpam-6923	212	1	j.	j.	PROPN
ejpam-6923	212	2	pure	pure	PROPN
ejpam-6923	212	3	appl	appl	PROPN
ejpam-6923	212	4	.	.	PROPN
ejpam-6923	212	5	math	math	PROPN
ejpam-6923	212	6	,	,	PUNCT
ejpam-6923	212	7	18	18	NUM
ejpam-6923	212	8	(	(	PUNCT
ejpam-6923	212	9	4	4	NUM
ejpam-6923	212	10	)	)	PUNCT
ejpam-6923	212	11	(	(	PUNCT
ejpam-6923	212	12	2025	2025	NUM
ejpam-6923	212	13	)	)	PUNCT
ejpam-6923	212	14	,	,	PUNCT
ejpam-6923	212	15	6923	6923	NUM
ejpam-6923	212	16	15	15	NUM
ejpam-6923	212	17	of	of	ADP
ejpam-6923	212	18	22	22	NUM
ejpam-6923	212	19	5	5	NUM
ejpam-6923	212	20	.	.	PUNCT
ejpam-6923	213	1	sensitivity	sensitivity	NOUN
ejpam-6923	213	2	analysis	analysis	NOUN
ejpam-6923	213	3	sensitivity	sensitivity	NOUN
ejpam-6923	213	4	analysis	analysis	NOUN
ejpam-6923	213	5	measures	measure	NOUN
ejpam-6923	213	6	how	how	SCONJ
ejpam-6923	213	7	changes	change	NOUN
ejpam-6923	213	8	in	in	ADP
ejpam-6923	213	9	a	a	DET
ejpam-6923	213	10	parameter	parameter	NOUN
ejpam-6923	213	11	affect	affect	VERB
ejpam-6923	213	12	the	the	DET
ejpam-6923	213	13	output	output	NOUN
ejpam-6923	213	14	of	of	ADP
ejpam-6923	213	15	the	the	DET
ejpam-6923	213	16	system	system	NOUN
ejpam-6923	213	17	.	.	PUNCT
ejpam-6923	214	1	here	here	ADV
ejpam-6923	214	2	,	,	PUNCT
ejpam-6923	214	3	we	we	PRON
ejpam-6923	214	4	analyze	analyze	VERB
ejpam-6923	214	5	the	the	DET
ejpam-6923	214	6	sensitivity	sensitivity	NOUN
ejpam-6923	214	7	of	of	ADP
ejpam-6923	214	8	the	the	DET
ejpam-6923	214	9	functions	function	NOUN
ejpam-6923	214	10	s(t	s(t	PROPN
ejpam-6923	214	11	)	)	PUNCT
ejpam-6923	214	12	,	,	PUNCT
ejpam-6923	214	13	e(t	e(t	NOUN
ejpam-6923	214	14	)	)	PUNCT
ejpam-6923	214	15	,	,	PUNCT
ejpam-6923	214	16	c(t	c(t	PROPN
ejpam-6923	214	17	)	)	PUNCT
ejpam-6923	214	18	,	,	PUNCT
ejpam-6923	214	19	and	and	CCONJ
ejpam-6923	214	20	p	p	PROPN
ejpam-6923	214	21	(	(	PUNCT
ejpam-6923	214	22	t	t	PROPN
ejpam-6923	214	23	)	)	PUNCT
ejpam-6923	214	24	with	with	ADP
ejpam-6923	214	25	respect	respect	NOUN
ejpam-6923	214	26	to	to	ADP
ejpam-6923	214	27	the	the	DET
ejpam-6923	214	28	parameter	parameter	NOUN
ejpam-6923	214	29	α	α	NOUN
ejpam-6923	214	30	only	only	ADV
ejpam-6923	214	31	.	.	PUNCT
ejpam-6923	215	1	to	to	PART
ejpam-6923	215	2	extend	extend	VERB
ejpam-6923	215	3	this	this	DET
ejpam-6923	215	4	calculation	calculation	NOUN
ejpam-6923	215	5	further	far	ADV
ejpam-6923	215	6	to	to	ADP
ejpam-6923	215	7	the	the	DET
ejpam-6923	215	8	remaining	remain	VERB
ejpam-6923	215	9	parameters	parameter	NOUN
ejpam-6923	215	10	β	β	X
ejpam-6923	215	11	and	and	CCONJ
ejpam-6923	215	12	γ	γ	X
ejpam-6923	215	13	,	,	PUNCT
ejpam-6923	215	14	we	we	PRON
ejpam-6923	215	15	need	need	VERB
ejpam-6923	215	16	more	more	ADJ
ejpam-6923	215	17	terms	term	NOUN
ejpam-6923	215	18	in	in	ADP
ejpam-6923	215	19	series	series	NOUN
ejpam-6923	215	20	solutions	solution	NOUN
ejpam-6923	215	21	of	of	ADP
ejpam-6923	215	22	s(t	s(t	PROPN
ejpam-6923	215	23	)	)	PUNCT
ejpam-6923	215	24	,	,	PUNCT
ejpam-6923	215	25	e(t	e(t	NOUN
ejpam-6923	215	26	)	)	PUNCT
ejpam-6923	215	27	,	,	PUNCT
ejpam-6923	215	28	c(t	c(t	PROPN
ejpam-6923	215	29	)	)	PUNCT
ejpam-6923	215	30	,	,	PUNCT
ejpam-6923	215	31	and	and	CCONJ
ejpam-6923	215	32	p	p	PROPN
ejpam-6923	215	33	(	(	PUNCT
ejpam-6923	215	34	t	t	PROPN
ejpam-6923	215	35	)	)	PUNCT
ejpam-6923	215	36	.	.	PUNCT
ejpam-6923	216	1	sensitivity	sensitivity	NOUN
ejpam-6923	216	2	of	of	ADP
ejpam-6923	216	3	s(t	s(t	PROPN
ejpam-6923	216	4	)	)	PUNCT
ejpam-6923	216	5	is	be	AUX
ejpam-6923	216	6	given	give	VERB
ejpam-6923	216	7	as	as	SCONJ
ejpam-6923	216	8	follows	follow	VERB
ejpam-6923	216	9	,	,	PUNCT
ejpam-6923	216	10	[	[	X
ejpam-6923	216	11	24	24	NUM
ejpam-6923	216	12	]	]	NUM
ejpam-6923	216	13	:	:	PUNCT
ejpam-6923	216	14	sα(s	sα(s	PUNCT
ejpam-6923	216	15	)	)	PUNCT
ejpam-6923	217	1	=	=	SYM
ejpam-6923	217	2	α	α	PRON
ejpam-6923	217	3	s(t	s(t	PROPN
ejpam-6923	217	4	)	)	PUNCT
ejpam-6923	217	5	∂s(t	∂s(t	NOUN
ejpam-6923	217	6	)	)	PUNCT
ejpam-6923	218	1	∂α	∂α	PROPN
ejpam-6923	218	2	=	=	PUNCT
ejpam-6923	219	1	−0.000001	−0.000001	PROPN
ejpam-6923	219	2	(	(	PUNCT
ejpam-6923	219	3	1−	1−	NUM
ejpam-6923	219	4	θ	θ	NOUN
ejpam-6923	219	5	+	+	CCONJ
ejpam-6923	219	6	tθ	tθ	ADP
ejpam-6923	219	7	γ(θ	γ(θ	NUM
ejpam-6923	219	8	)	)	PUNCT
ejpam-6923	219	9	)	)	PUNCT
ejpam-6923	220	1	×	×	NOUN
ejpam-6923	220	2	α	α	INTJ
ejpam-6923	220	3	0.01−	0.01−	NUM
ejpam-6923	221	1	0.000001α	0.000001α	PROPN
ejpam-6923	222	1	(	(	PUNCT
ejpam-6923	222	2	1−	1−	NUM
ejpam-6923	222	3	θ	θ	NOUN
ejpam-6923	222	4	+	+	CCONJ
ejpam-6923	222	5	tθ	tθ	ADP
ejpam-6923	222	6	γ(θ	γ(θ	NUM
ejpam-6923	222	7	)	)	PUNCT
ejpam-6923	222	8	)	)	PUNCT
ejpam-6923	222	9	.	.	PUNCT
ejpam-6923	223	1	sensitivity	sensitivity	NOUN
ejpam-6923	223	2	of	of	ADP
ejpam-6923	223	3	e(t	e(t	PROPN
ejpam-6923	223	4	)	)	PUNCT
ejpam-6923	223	5	is	be	AUX
ejpam-6923	223	6	given	give	VERB
ejpam-6923	223	7	as	as	SCONJ
ejpam-6923	223	8	follows	follow	VERB
ejpam-6923	223	9	:	:	PUNCT
ejpam-6923	223	10	sα(e	sα(e	PUNCT
ejpam-6923	223	11	)	)	PUNCT
ejpam-6923	224	1	=	=	PUNCT
ejpam-6923	225	1	−0.000001	−0.000001	X
ejpam-6923	225	2	(	(	PUNCT
ejpam-6923	225	3	1−	1−	NUM
ejpam-6923	225	4	θ	θ	NOUN
ejpam-6923	225	5	+	+	CCONJ
ejpam-6923	225	6	tθ	tθ	ADP
ejpam-6923	225	7	γ(θ	γ(θ	NUM
ejpam-6923	225	8	)	)	PUNCT
ejpam-6923	225	9	)	)	PUNCT
ejpam-6923	226	1	×	×	NOUN
ejpam-6923	226	2	α	α	NOUN
ejpam-6923	226	3	0.0001−	0.0001−	NUM
ejpam-6923	227	1	0.000001α	0.000001α	PROPN
ejpam-6923	227	2	(	(	PUNCT
ejpam-6923	227	3	1−	1−	NUM
ejpam-6923	227	4	θ	θ	NOUN
ejpam-6923	227	5	+	+	CCONJ
ejpam-6923	227	6	tθ	tθ	ADP
ejpam-6923	227	7	γ(θ	γ(θ	NUM
ejpam-6923	227	8	)	)	PUNCT
ejpam-6923	227	9	)	)	PUNCT
ejpam-6923	227	10	.	.	PUNCT
ejpam-6923	228	1	sensitivity	sensitivity	NOUN
ejpam-6923	228	2	of	of	ADP
ejpam-6923	228	3	c(t	c(t	PROPN
ejpam-6923	228	4	)	)	PUNCT
ejpam-6923	228	5	is	be	AUX
ejpam-6923	228	6	given	give	VERB
ejpam-6923	228	7	as	as	SCONJ
ejpam-6923	228	8	follows	follow	VERB
ejpam-6923	228	9	:	:	PUNCT
ejpam-6923	228	10	sα(c	sα(c	ADV
ejpam-6923	228	11	)	)	PUNCT
ejpam-6923	228	12	=	=	SYM
ejpam-6923	229	1	1	1	X
ejpam-6923	229	2	.	.	X
ejpam-6923	229	3	sensitivity	sensitivity	NOUN
ejpam-6923	229	4	of	of	ADP
ejpam-6923	229	5	p	p	PROPN
ejpam-6923	229	6	(	(	PUNCT
ejpam-6923	229	7	t	t	PROPN
ejpam-6923	229	8	)	)	PUNCT
ejpam-6923	229	9	is	be	AUX
ejpam-6923	229	10	given	give	VERB
ejpam-6923	229	11	as	as	SCONJ
ejpam-6923	229	12	follows	follow	VERB
ejpam-6923	229	13	:	:	PUNCT
ejpam-6923	229	14	sα(p	sα(p	NUM
ejpam-6923	229	15	)	)	PUNCT
ejpam-6923	230	1	=	=	PUNCT
ejpam-6923	230	2	1	1	X
ejpam-6923	230	3	.	.	PUNCT
ejpam-6923	231	1	the	the	DET
ejpam-6923	231	2	sensitivities	sensitivity	NOUN
ejpam-6923	231	3	of	of	ADP
ejpam-6923	231	4	s(t	s(t	PROPN
ejpam-6923	231	5	)	)	PUNCT
ejpam-6923	231	6	and	and	CCONJ
ejpam-6923	231	7	e(t	e(t	NOUN
ejpam-6923	231	8	)	)	PUNCT
ejpam-6923	231	9	depend	depend	VERB
ejpam-6923	231	10	on	on	ADP
ejpam-6923	231	11	θ	θ	PROPN
ejpam-6923	231	12	and	and	CCONJ
ejpam-6923	231	13	t.	t.	NOUN
ejpam-6923	231	14	their	their	PRON
ejpam-6923	231	15	general	general	ADJ
ejpam-6923	231	16	expressions	expression	NOUN
ejpam-6923	231	17	indicate	indicate	VERB
ejpam-6923	231	18	a	a	DET
ejpam-6923	231	19	complex	complex	ADJ
ejpam-6923	231	20	relationship	relationship	NOUN
ejpam-6923	231	21	with	with	ADP
ejpam-6923	231	22	α	α	NOUN
ejpam-6923	231	23	.	.	PUNCT
ejpam-6923	232	1	since	since	SCONJ
ejpam-6923	232	2	the	the	DET
ejpam-6923	232	3	sensitivities	sensitivity	NOUN
ejpam-6923	232	4	of	of	ADP
ejpam-6923	232	5	s(t	s(t	PROPN
ejpam-6923	232	6	)	)	PUNCT
ejpam-6923	232	7	and	and	CCONJ
ejpam-6923	232	8	e(t	e(t	NOUN
ejpam-6923	232	9	)	)	PUNCT
ejpam-6923	232	10	are	be	AUX
ejpam-6923	232	11	negative	negative	ADJ
ejpam-6923	232	12	,	,	PUNCT
ejpam-6923	232	13	increasing	increase	VERB
ejpam-6923	232	14	α	α	NOUN
ejpam-6923	232	15	will	will	AUX
ejpam-6923	232	16	decrease	decrease	VERB
ejpam-6923	232	17	both	both	DET
ejpam-6923	232	18	s(t	s(t	PROPN
ejpam-6923	232	19	)	)	PUNCT
ejpam-6923	232	20	and	and	CCONJ
ejpam-6923	232	21	e(t	e(t	NOUN
ejpam-6923	232	22	)	)	PUNCT
ejpam-6923	232	23	.	.	PUNCT
ejpam-6923	233	1	for	for	ADP
ejpam-6923	233	2	larger	large	ADJ
ejpam-6923	233	3	t	t	PROPN
ejpam-6923	233	4	,	,	PUNCT
ejpam-6923	233	5	the	the	DET
ejpam-6923	233	6	sensitivity	sensitivity	NOUN
ejpam-6923	233	7	increases	increase	VERB
ejpam-6923	233	8	in	in	ADP
ejpam-6923	233	9	magnitude	magnitude	NOUN
ejpam-6923	233	10	,	,	PUNCT
ejpam-6923	233	11	meaning	mean	VERB
ejpam-6923	233	12	the	the	DET
ejpam-6923	233	13	impact	impact	NOUN
ejpam-6923	233	14	of	of	ADP
ejpam-6923	233	15	α	α	NOUN
ejpam-6923	233	16	becomes	become	VERB
ejpam-6923	233	17	stronger	strong	ADJ
ejpam-6923	233	18	over	over	ADP
ejpam-6923	233	19	time	time	NOUN
ejpam-6923	233	20	.	.	PUNCT
ejpam-6923	234	1	for	for	ADP
ejpam-6923	234	2	smaller	small	ADJ
ejpam-6923	234	3	θ	θ	NOUN
ejpam-6923	234	4	,	,	PUNCT
ejpam-6923	234	5	the	the	DET
ejpam-6923	234	6	term	term	NOUN
ejpam-6923	234	7	(	(	PUNCT
ejpam-6923	234	8	1	1	NUM
ejpam-6923	234	9	−	−	NUM
ejpam-6923	234	10	θ	θ	NOUN
ejpam-6923	234	11	)	)	PUNCT
ejpam-6923	234	12	increases	increase	NOUN
ejpam-6923	234	13	,	,	PUNCT
ejpam-6923	234	14	leading	lead	VERB
ejpam-6923	234	15	to	to	ADP
ejpam-6923	234	16	a	a	DET
ejpam-6923	234	17	greater	great	ADJ
ejpam-6923	234	18	sensitivity	sensitivity	NOUN
ejpam-6923	234	19	in	in	ADP
ejpam-6923	234	20	absolute	absolute	ADJ
ejpam-6923	234	21	terms	term	NOUN
ejpam-6923	234	22	.	.	PUNCT
ejpam-6923	235	1	since	since	SCONJ
ejpam-6923	235	2	sensitivity	sensitivity	NOUN
ejpam-6923	235	3	is	be	AUX
ejpam-6923	235	4	a	a	DET
ejpam-6923	235	5	function	function	NOUN
ejpam-6923	235	6	of	of	ADP
ejpam-6923	235	7	t	t	PROPN
ejpam-6923	235	8	and	and	CCONJ
ejpam-6923	235	9	θ	θ	PROPN
ejpam-6923	235	10	,	,	PUNCT
ejpam-6923	235	11	exact	exact	ADJ
ejpam-6923	235	12	numerical	numerical	ADJ
ejpam-6923	235	13	values	value	NOUN
ejpam-6923	235	14	will	will	AUX
ejpam-6923	235	15	vary	vary	VERB
ejpam-6923	235	16	,	,	PUNCT
ejpam-6923	235	17	but	but	CCONJ
ejpam-6923	235	18	the	the	DET
ejpam-6923	235	19	overall	overall	ADJ
ejpam-6923	235	20	trend	trend	NOUN
ejpam-6923	235	21	remains	remain	VERB
ejpam-6923	235	22	:	:	PUNCT
ejpam-6923	235	23	s(t	s(t	ADJ
ejpam-6923	235	24	)	)	PUNCT
ejpam-6923	235	25	and	and	CCONJ
ejpam-6923	235	26	e(t	e(t	NOUN
ejpam-6923	235	27	)	)	PUNCT
ejpam-6923	235	28	decrease	decrease	NOUN
ejpam-6923	235	29	as	as	ADP
ejpam-6923	235	30	α	α	PRON
ejpam-6923	235	31	increases	increase	NOUN
ejpam-6923	235	32	.	.	PUNCT
ejpam-6923	236	1	the	the	DET
ejpam-6923	236	2	sensitivity	sensitivity	NOUN
ejpam-6923	236	3	of	of	ADP
ejpam-6923	236	4	c(t	c(t	PROPN
ejpam-6923	236	5	)	)	PUNCT
ejpam-6923	236	6	is	be	AUX
ejpam-6923	236	7	exactly	exactly	ADV
ejpam-6923	236	8	1	1	NUM
ejpam-6923	236	9	,	,	PUNCT
ejpam-6923	236	10	meaning	mean	VERB
ejpam-6923	236	11	it	it	PRON
ejpam-6923	236	12	changes	change	VERB
ejpam-6923	236	13	proportionally	proportionally	ADV
ejpam-6923	236	14	with	with	ADP
ejpam-6923	236	15	α	α	NOUN
ejpam-6923	236	16	.	.	PUNCT
ejpam-6923	237	1	the	the	DET
ejpam-6923	237	2	sensitivity	sensitivity	NOUN
ejpam-6923	237	3	of	of	ADP
ejpam-6923	237	4	p	p	PROPN
ejpam-6923	237	5	(	(	PUNCT
ejpam-6923	237	6	t	t	PROPN
ejpam-6923	237	7	)	)	PUNCT
ejpam-6923	237	8	is	be	AUX
ejpam-6923	237	9	also	also	ADV
ejpam-6923	237	10	exactly	exactly	ADV
ejpam-6923	237	11	1	1	NUM
ejpam-6923	237	12	,	,	PUNCT
ejpam-6923	237	13	meaning	mean	VERB
ejpam-6923	237	14	it	it	PRON
ejpam-6923	237	15	scales	scale	VERB
ejpam-6923	237	16	directly	directly	ADV
ejpam-6923	237	17	with	with	ADP
ejpam-6923	237	18	α	α	PROPN
ejpam-6923	237	19	.	.	PUNCT
ejpam-6923	238	1	asma	asma	PROPN
ejpam-6923	238	2	et	et	PROPN
ejpam-6923	238	3	al	al	PROPN
ejpam-6923	238	4	.	.	PUNCT
ejpam-6923	238	5	/	/	SYM
ejpam-6923	238	6	eur	eur	PROPN
ejpam-6923	238	7	.	.	PUNCT
ejpam-6923	239	1	j.	j.	PROPN
ejpam-6923	239	2	pure	pure	PROPN
ejpam-6923	239	3	appl	appl	PROPN
ejpam-6923	239	4	.	.	PROPN
ejpam-6923	239	5	math	math	PROPN
ejpam-6923	239	6	,	,	PUNCT
ejpam-6923	239	7	18	18	NUM
ejpam-6923	239	8	(	(	PUNCT
ejpam-6923	239	9	4	4	NUM
ejpam-6923	239	10	)	)	PUNCT
ejpam-6923	239	11	(	(	PUNCT
ejpam-6923	239	12	2025	2025	NUM
ejpam-6923	239	13	)	)	PUNCT
ejpam-6923	239	14	,	,	PUNCT
ejpam-6923	239	15	6923	6923	NUM
ejpam-6923	239	16	16	16	NUM
ejpam-6923	239	17	of	of	ADP
ejpam-6923	239	18	22	22	NUM
ejpam-6923	239	19	0	0	NUM
ejpam-6923	239	20	0.002	0.002	NUM
ejpam-6923	239	21	0.004	0.004	NUM
ejpam-6923	239	22	0.006	0.006	NUM
ejpam-6923	239	23	0.008	0.008	NUM
ejpam-6923	239	24	0.01	0.01	NUM
ejpam-6923	240	1	α	α	NOUN
ejpam-6923	241	1	-6	-6	INTJ
ejpam-6923	241	2	-5	-5	INTJ
ejpam-6923	242	1	-4	-4	INTJ
ejpam-6923	242	2	-3	-3	INTJ
ejpam-6923	243	1	-2	-2	INTJ
ejpam-6923	244	1	-1	-1	NOUN
ejpam-6923	244	2	0	0	NUM
ejpam-6923	244	3	s	s	VERB
ejpam-6923	244	4	α	α	PRON
ejpam-6923	244	5	(	(	PUNCT
ejpam-6923	244	6	s	s	NOUN
ejpam-6923	244	7	)	)	PUNCT
ejpam-6923	244	8	×10	×10	PROPN
ejpam-6923	244	9	-	-	SYM
ejpam-6923	244	10	6	6	NUM
ejpam-6923	244	11	θ=0.2	θ=0.2	NOUN
ejpam-6923	244	12	,	,	PUNCT
ejpam-6923	244	13	t=1	t=1	PROPN
ejpam-6923	244	14	θ=0.2	θ=0.2	NOUN
ejpam-6923	244	15	,	,	PUNCT
ejpam-6923	244	16	t=5	t=5	PROPN
ejpam-6923	244	17	θ=0.2	θ=0.2	NOUN
ejpam-6923	244	18	,	,	PUNCT
ejpam-6923	244	19	t=10	t=10	X
ejpam-6923	244	20	θ=0.5	θ=0.5	NOUN
ejpam-6923	244	21	,	,	PUNCT
ejpam-6923	244	22	t=1	t=1	PROPN
ejpam-6923	244	23	θ=0.5	θ=0.5	NOUN
ejpam-6923	244	24	,	,	PUNCT
ejpam-6923	244	25	t=5	t=5	X
ejpam-6923	244	26	θ=0.5	θ=0.5	NOUN
ejpam-6923	244	27	,	,	PUNCT
ejpam-6923	244	28	t=10	t=10	NOUN
ejpam-6923	244	29	θ=0.8	θ=0.8	ADJ
ejpam-6923	244	30	,	,	PUNCT
ejpam-6923	244	31	t=1	t=1	PUNCT
ejpam-6923	244	32	θ=0.8	θ=0.8	X
ejpam-6923	244	33	,	,	PUNCT
ejpam-6923	244	34	t=5	t=5	X
ejpam-6923	244	35	θ=0.8	θ=0.8	ADJ
ejpam-6923	244	36	,	,	PUNCT
ejpam-6923	244	37	t=10	t=10	NOUN
ejpam-6923	244	38	0	0	NUM
ejpam-6923	244	39	0.002	0.002	NUM
ejpam-6923	244	40	0.004	0.004	NUM
ejpam-6923	244	41	0.006	0.006	NUM
ejpam-6923	244	42	0.008	0.008	NUM
ejpam-6923	244	43	0.01	0.01	NUM
ejpam-6923	244	44	α	α	NOUN
ejpam-6923	245	1	-6	-6	INTJ
ejpam-6923	245	2	-5	-5	INTJ
ejpam-6923	246	1	-4	-4	INTJ
ejpam-6923	246	2	-3	-3	INTJ
ejpam-6923	247	1	-2	-2	INTJ
ejpam-6923	248	1	-1	-1	NOUN
ejpam-6923	248	2	0	0	NUM
ejpam-6923	249	1	s	s	VERB
ejpam-6923	249	2	α	α	PRON
ejpam-6923	249	3	(	(	PUNCT
ejpam-6923	249	4	e	e	NOUN
ejpam-6923	249	5	)	)	PUNCT
ejpam-6923	249	6	×10	×10	NOUN
ejpam-6923	249	7	-	-	SYM
ejpam-6923	249	8	4	4	NUM
ejpam-6923	249	9	θ=0.2	θ=0.2	NOUN
ejpam-6923	249	10	,	,	PUNCT
ejpam-6923	249	11	t=1	t=1	PROPN
ejpam-6923	249	12	θ=0.2	θ=0.2	NOUN
ejpam-6923	249	13	,	,	PUNCT
ejpam-6923	249	14	t=5	t=5	PROPN
ejpam-6923	249	15	θ=0.2	θ=0.2	NOUN
ejpam-6923	249	16	,	,	PUNCT
ejpam-6923	249	17	t=10	t=10	X
ejpam-6923	249	18	θ=0.5	θ=0.5	NOUN
ejpam-6923	249	19	,	,	PUNCT
ejpam-6923	249	20	t=1	t=1	PROPN
ejpam-6923	249	21	θ=0.5	θ=0.5	NOUN
ejpam-6923	249	22	,	,	PUNCT
ejpam-6923	249	23	t=5	t=5	X
ejpam-6923	249	24	θ=0.5	θ=0.5	NOUN
ejpam-6923	249	25	,	,	PUNCT
ejpam-6923	249	26	t=10	t=10	NOUN
ejpam-6923	249	27	θ=0.8	θ=0.8	ADJ
ejpam-6923	249	28	,	,	PUNCT
ejpam-6923	249	29	t=1	t=1	PUNCT
ejpam-6923	249	30	θ=0.8	θ=0.8	X
ejpam-6923	249	31	,	,	PUNCT
ejpam-6923	249	32	t=5	t=5	X
ejpam-6923	249	33	θ=0.8	θ=0.8	ADJ
ejpam-6923	249	34	,	,	PUNCT
ejpam-6923	249	35	t=10	t=10	PRON
ejpam-6923	249	36	figure	figure	VERB
ejpam-6923	249	37	9	9	NUM
ejpam-6923	249	38	:	:	PUNCT
ejpam-6923	249	39	sensitivity	sensitivity	NOUN
ejpam-6923	249	40	of	of	ADP
ejpam-6923	249	41	s(t	s(t	PROPN
ejpam-6923	249	42	)	)	PUNCT
ejpam-6923	249	43	and	and	CCONJ
ejpam-6923	249	44	e(t	e(t	NOUN
ejpam-6923	249	45	)	)	PUNCT
ejpam-6923	249	46	for	for	ADP
ejpam-6923	249	47	different	different	ADJ
ejpam-6923	249	48	θ	θ	PROPN
ejpam-6923	249	49	and	and	CCONJ
ejpam-6923	249	50	t	t	PROPN
ejpam-6923	249	51	values	value	NOUN
ejpam-6923	249	52	.	.	PUNCT
ejpam-6923	250	1	figure	figure	NOUN
ejpam-6923	250	2	9	9	NUM
ejpam-6923	250	3	provides	provide	VERB
ejpam-6923	250	4	the	the	DET
ejpam-6923	250	5	sensitivity	sensitivity	NOUN
ejpam-6923	250	6	analysis	analysis	NOUN
ejpam-6923	250	7	of	of	ADP
ejpam-6923	250	8	substrate	substrate	NOUN
ejpam-6923	250	9	and	and	CCONJ
ejpam-6923	250	10	enzyme	enzyme	NOUN
ejpam-6923	250	11	concentrations	concentration	NOUN
ejpam-6923	250	12	with	with	ADP
ejpam-6923	250	13	respect	respect	NOUN
ejpam-6923	250	14	to	to	ADP
ejpam-6923	250	15	α	α	PRON
ejpam-6923	250	16	,	,	PUNCT
ejpam-6923	250	17	taking	take	VERB
ejpam-6923	250	18	different	different	ADJ
ejpam-6923	250	19	values	value	NOUN
ejpam-6923	250	20	of	of	ADP
ejpam-6923	250	21	fractional	fractional	ADJ
ejpam-6923	250	22	order	order	NOUN
ejpam-6923	250	23	and	and	CCONJ
ejpam-6923	250	24	time	time	NOUN
ejpam-6923	250	25	.	.	PUNCT
ejpam-6923	251	1	the	the	DET
ejpam-6923	251	2	negative	negative	ADJ
ejpam-6923	251	3	sensitivity	sensitivity	NOUN
ejpam-6923	251	4	shows	show	VERB
ejpam-6923	251	5	an	an	DET
ejpam-6923	251	6	inverse	inverse	NOUN
ejpam-6923	251	7	relation	relation	NOUN
ejpam-6923	251	8	between	between	ADP
ejpam-6923	251	9	function	function	NOUN
ejpam-6923	251	10	and	and	CCONJ
ejpam-6923	251	11	parameter	parameter	NOUN
ejpam-6923	251	12	,	,	PUNCT
ejpam-6923	251	13	i.e.	i.e.	X
ejpam-6923	251	14	,	,	PUNCT
ejpam-6923	251	15	when	when	SCONJ
ejpam-6923	251	16	sensitivity	sensitivity	NOUN
ejpam-6923	251	17	is	be	AUX
ejpam-6923	251	18	negative	negative	ADJ
ejpam-6923	251	19	,	,	PUNCT
ejpam-6923	251	20	it	it	PRON
ejpam-6923	251	21	indicates	indicate	VERB
ejpam-6923	251	22	that	that	SCONJ
ejpam-6923	251	23	an	an	DET
ejpam-6923	251	24	increase	increase	NOUN
ejpam-6923	251	25	in	in	ADP
ejpam-6923	251	26	the	the	DET
ejpam-6923	251	27	value	value	NOUN
ejpam-6923	251	28	of	of	ADP
ejpam-6923	251	29	the	the	DET
ejpam-6923	251	30	parameter	parameter	NOUN
ejpam-6923	251	31	decreases	decrease	VERB
ejpam-6923	251	32	the	the	DET
ejpam-6923	251	33	value	value	NOUN
ejpam-6923	251	34	of	of	ADP
ejpam-6923	251	35	the	the	DET
ejpam-6923	251	36	function	function	NOUN
ejpam-6923	251	37	.	.	PUNCT
ejpam-6923	252	1	furthermore	furthermore	ADV
ejpam-6923	252	2	,	,	PUNCT
ejpam-6923	252	3	for	for	ADP
ejpam-6923	252	4	practical	practical	ADJ
ejpam-6923	252	5	analysis	analysis	NOUN
ejpam-6923	252	6	,	,	PUNCT
ejpam-6923	252	7	the	the	DET
ejpam-6923	252	8	choice	choice	NOUN
ejpam-6923	252	9	of	of	ADP
ejpam-6923	252	10	fractional	fractional	ADJ
ejpam-6923	252	11	order	order	NOUN
ejpam-6923	252	12	and	and	CCONJ
ejpam-6923	252	13	time	time	NOUN
ejpam-6923	252	14	is	be	AUX
ejpam-6923	252	15	very	very	ADV
ejpam-6923	252	16	important	important	ADJ
ejpam-6923	252	17	in	in	ADP
ejpam-6923	252	18	sensitivity	sensitivity	NOUN
ejpam-6923	252	19	analysis	analysis	NOUN
ejpam-6923	252	20	.	.	PUNCT
ejpam-6923	253	1	6	6	X
ejpam-6923	253	2	.	.	X
ejpam-6923	253	3	artificial	artificial	ADJ
ejpam-6923	253	4	neural	neural	ADJ
ejpam-6923	253	5	network	network	NOUN
ejpam-6923	253	6	validation	validation	NOUN
ejpam-6923	253	7	the	the	DET
ejpam-6923	253	8	artificial	artificial	ADJ
ejpam-6923	253	9	neural	neural	ADJ
ejpam-6923	253	10	network	network	NOUN
ejpam-6923	253	11	architecture	architecture	NOUN
ejpam-6923	253	12	consists	consist	VERB
ejpam-6923	253	13	of	of	ADP
ejpam-6923	253	14	two	two	NUM
ejpam-6923	253	15	hidden	hidden	ADJ
ejpam-6923	253	16	layers	layer	NOUN
ejpam-6923	253	17	with	with	ADP
ejpam-6923	253	18	20	20	NUM
ejpam-6923	253	19	and	and	CCONJ
ejpam-6923	253	20	15	15	NUM
ejpam-6923	253	21	neurons	neuron	NOUN
ejpam-6923	253	22	,	,	PUNCT
ejpam-6923	253	23	using	use	VERB
ejpam-6923	253	24	the	the	DET
ejpam-6923	253	25	tansig	tansig	NOUN
ejpam-6923	253	26	activation	activation	NOUN
ejpam-6923	253	27	function	function	NOUN
ejpam-6923	253	28	.	.	PUNCT
ejpam-6923	254	1	training	training	NOUN
ejpam-6923	254	2	employed	employ	VERB
ejpam-6923	254	3	the	the	DET
ejpam-6923	254	4	levenberg	levenberg	PROPN
ejpam-6923	254	5	–	–	PUNCT
ejpam-6923	254	6	marquardt	marquardt	PROPN
ejpam-6923	254	7	algorithm	algorithm	NOUN
ejpam-6923	254	8	with	with	ADP
ejpam-6923	254	9	1000	1000	NUM
ejpam-6923	254	10	epochs	epoch	NOUN
ejpam-6923	254	11	,	,	PUNCT
ejpam-6923	254	12	a	a	DET
ejpam-6923	254	13	learning	learn	VERB
ejpam-6923	254	14	goal	goal	NOUN
ejpam-6923	254	15	of	of	ADP
ejpam-6923	254	16	10−6	10−6	NUM
ejpam-6923	254	17	,	,	PUNCT
ejpam-6923	254	18	and	and	CCONJ
ejpam-6923	254	19	an	an	DET
ejpam-6923	254	20	early	early	ADJ
ejpam-6923	254	21	stopping	stopping	NOUN
ejpam-6923	254	22	criterion	criterion	NOUN
ejpam-6923	254	23	with	with	ADP
ejpam-6923	254	24	validation	validation	NOUN
ejpam-6923	254	25	checks	check	NOUN
ejpam-6923	254	26	.	.	PUNCT
ejpam-6923	255	1	the	the	DET
ejpam-6923	255	2	dataset	dataset	NOUN
ejpam-6923	255	3	was	be	AUX
ejpam-6923	255	4	split	split	VERB
ejpam-6923	255	5	into	into	ADP
ejpam-6923	255	6	training	training	NOUN
ejpam-6923	255	7	(	(	PUNCT
ejpam-6923	255	8	70	70	NUM
ejpam-6923	255	9	%	%	NOUN
ejpam-6923	255	10	)	)	PUNCT
ejpam-6923	255	11	,	,	PUNCT
ejpam-6923	255	12	validation	validation	NOUN
ejpam-6923	255	13	(	(	PUNCT
ejpam-6923	255	14	15	15	NUM
ejpam-6923	255	15	%	%	NOUN
ejpam-6923	255	16	)	)	PUNCT
ejpam-6923	255	17	,	,	PUNCT
ejpam-6923	255	18	and	and	CCONJ
ejpam-6923	255	19	testing	testing	NOUN
ejpam-6923	255	20	(	(	PUNCT
ejpam-6923	255	21	15	15	NUM
ejpam-6923	255	22	%	%	NOUN
ejpam-6923	255	23	)	)	PUNCT
ejpam-6923	255	24	subsets	subset	NOUN
ejpam-6923	255	25	,	,	PUNCT
ejpam-6923	255	26	[	[	X
ejpam-6923	255	27	25	25	NUM
ejpam-6923	255	28	]	]	PUNCT
ejpam-6923	255	29	.	.	PUNCT
ejpam-6923	256	1	we	we	PRON
ejpam-6923	256	2	consider	consider	VERB
ejpam-6923	256	3	the	the	DET
ejpam-6923	256	4	fractional	fractional	ADJ
ejpam-6923	256	5	order	order	NOUN
ejpam-6923	256	6	θ	θ	NOUN
ejpam-6923	256	7	=	=	SYM
ejpam-6923	256	8	0.5	0.5	NUM
ejpam-6923	256	9	,	,	PUNCT
ejpam-6923	256	10	initial	initial	ADJ
ejpam-6923	256	11	conditions	condition	NOUN
ejpam-6923	256	12	s0	s0	NOUN
ejpam-6923	256	13	=	=	SYM
ejpam-6923	256	14	0.8	0.8	NUM
ejpam-6923	256	15	,	,	PUNCT
ejpam-6923	256	16	e0	e0	PROPN
ejpam-6923	256	17	=	=	PROPN
ejpam-6923	256	18	0.2	0.2	NUM
ejpam-6923	256	19	,	,	PUNCT
ejpam-6923	256	20	c0	c0	NOUN
ejpam-6923	256	21	=	=	PROPN
ejpam-6923	257	1	p	p	NOUN
ejpam-6923	257	2	0	0	NUM
ejpam-6923	257	3	=	=	SYM
ejpam-6923	257	4	0	0	NUM
ejpam-6923	257	5	,	,	PUNCT
ejpam-6923	257	6	and	and	CCONJ
ejpam-6923	257	7	the	the	DET
ejpam-6923	257	8	parameter	parameter	NOUN
ejpam-6923	257	9	values	value	VERB
ejpam-6923	257	10	α	α	X
ejpam-6923	257	11	=	=	NOUN
ejpam-6923	257	12	0.01	0.01	NUM
ejpam-6923	257	13	,	,	PUNCT
ejpam-6923	257	14	β	β	X
ejpam-6923	257	15	=	=	NOUN
ejpam-6923	257	16	0.01	0.01	NUM
ejpam-6923	257	17	,	,	PUNCT
ejpam-6923	257	18	γ	γ	X
ejpam-6923	257	19	=	=	NOUN
ejpam-6923	257	20	0.01	0.01	NUM
ejpam-6923	257	21	.	.	PUNCT
ejpam-6923	258	1	asma	asma	PROPN
ejpam-6923	258	2	et	et	PROPN
ejpam-6923	258	3	al	al	PROPN
ejpam-6923	258	4	.	.	PUNCT
ejpam-6923	258	5	/	/	SYM
ejpam-6923	258	6	eur	eur	PROPN
ejpam-6923	258	7	.	.	PUNCT
ejpam-6923	259	1	j.	j.	PROPN
ejpam-6923	259	2	pure	pure	PROPN
ejpam-6923	259	3	appl	appl	PROPN
ejpam-6923	259	4	.	.	PROPN
ejpam-6923	259	5	math	math	PROPN
ejpam-6923	259	6	,	,	PUNCT
ejpam-6923	259	7	18	18	NUM
ejpam-6923	259	8	(	(	PUNCT
ejpam-6923	259	9	4	4	NUM
ejpam-6923	259	10	)	)	PUNCT
ejpam-6923	259	11	(	(	PUNCT
ejpam-6923	259	12	2025	2025	NUM
ejpam-6923	259	13	)	)	PUNCT
ejpam-6923	259	14	,	,	PUNCT
ejpam-6923	259	15	6923	6923	NUM
ejpam-6923	259	16	17	17	NUM
ejpam-6923	259	17	of	of	ADP
ejpam-6923	259	18	22	22	NUM
ejpam-6923	259	19	0	0	NUM
ejpam-6923	259	20	1	1	NUM
ejpam-6923	259	21	2	2	NUM
ejpam-6923	259	22	3	3	NUM
ejpam-6923	259	23	4	4	NUM
ejpam-6923	259	24	5	5	NUM
ejpam-6923	259	25	5	5	NUM
ejpam-6923	259	26	epochs	epoch	NOUN
ejpam-6923	259	27	10	10	NUM
ejpam-6923	259	28	-7	-7	NUM
ejpam-6923	259	29	10	10	NUM
ejpam-6923	260	1	-6	-6	NOUN
ejpam-6923	260	2	10	10	NUM
ejpam-6923	260	3	-5	-5	NUM
ejpam-6923	260	4	10	10	NUM
ejpam-6923	260	5	-4	-4	SYM
ejpam-6923	260	6	10	10	NUM
ejpam-6923	260	7	-3	-3	SYM
ejpam-6923	260	8	10	10	NUM
ejpam-6923	260	9	-2	-2	NOUN
ejpam-6923	260	10	m	m	NOUN
ejpam-6923	260	11	ea	ea	PROPN
ejpam-6923	261	1	n	n	NUM
ejpam-6923	261	2	s	s	PART
ejpam-6923	261	3	q	q	X
ejpam-6923	261	4	u	u	PROPN
ejpam-6923	261	5	ar	ar	PROPN
ejpam-6923	261	6	ed	ed	PROPN
ejpam-6923	261	7	e	e	PROPN
ejpam-6923	261	8	rr	rr	NOUN
ejpam-6923	262	1	o	o	NOUN
ejpam-6923	262	2	r	r	NOUN
ejpam-6923	262	3	(	(	PUNCT
ejpam-6923	262	4	m	m	PROPN
ejpam-6923	262	5	se	se	X
ejpam-6923	262	6	)	)	PUNCT
ejpam-6923	262	7	best	good	ADJ
ejpam-6923	262	8	validation	validation	NOUN
ejpam-6923	262	9	performance	performance	NOUN
ejpam-6923	262	10	is	be	AUX
ejpam-6923	262	11	2.0843e-07	2.0843e-07	NUM
ejpam-6923	262	12	at	at	ADP
ejpam-6923	262	13	epoch	epoch	NOUN
ejpam-6923	262	14	5	5	NUM
ejpam-6923	262	15	train	train	NOUN
ejpam-6923	262	16	validation	validation	NOUN
ejpam-6923	262	17	test	test	NOUN
ejpam-6923	262	18	best	good	ADJ
ejpam-6923	262	19	goal	goal	NOUN
ejpam-6923	262	20	figure	figure	NOUN
ejpam-6923	262	21	10	10	NUM
ejpam-6923	262	22	:	:	PUNCT
ejpam-6923	262	23	mse	mse	NOUN
ejpam-6923	262	24	performance	performance	NOUN
ejpam-6923	262	25	of	of	ADP
ejpam-6923	262	26	the	the	DET
ejpam-6923	262	27	model	model	NOUN
ejpam-6923	262	28	at	at	ADP
ejpam-6923	262	29	epoch	epoch	NOUN
ejpam-6923	262	30	5	5	NUM
ejpam-6923	262	31	.	.	PROPN
ejpam-6923	262	32	10	10	NUM
ejpam-6923	262	33	-4	-4	SYM
ejpam-6923	263	1	10	10	NUM
ejpam-6923	263	2	-2	-2	NOUN
ejpam-6923	263	3	gr	gr	PRON
ejpam-6923	263	4	ad	ad	NOUN
ejpam-6923	263	5	ie	ie	X
ejpam-6923	263	6	nt	not	PART
ejpam-6923	263	7	gradient	gradient	NOUN
ejpam-6923	263	8	=	=	SYM
ejpam-6923	263	9	1.0897e-05	1.0897e-05	NUM
ejpam-6923	263	10	,	,	PUNCT
ejpam-6923	263	11	at	at	ADP
ejpam-6923	263	12	epoch	epoch	NOUN
ejpam-6923	263	13	5	5	NUM
ejpam-6923	263	14	10	10	NUM
ejpam-6923	263	15	-5	-5	NOUN
ejpam-6923	263	16	m	m	VERB
ejpam-6923	263	17	u	u	NOUN
ejpam-6923	263	18	mu	mu	NOUN
ejpam-6923	263	19	=	=	SYM
ejpam-6923	263	20	1e-08	1e-08	NOUN
ejpam-6923	263	21	,	,	PUNCT
ejpam-6923	263	22	at	at	ADP
ejpam-6923	263	23	epoch	epoch	NOUN
ejpam-6923	263	24	5	5	NUM
ejpam-6923	263	25	0	0	NUM
ejpam-6923	263	26	0.5	0.5	NUM
ejpam-6923	263	27	1	1	NUM
ejpam-6923	263	28	1.5	1.5	NUM
ejpam-6923	263	29	2	2	NUM
ejpam-6923	263	30	2.5	2.5	NUM
ejpam-6923	263	31	3	3	NUM
ejpam-6923	263	32	3.5	3.5	NUM
ejpam-6923	263	33	4	4	NUM
ejpam-6923	263	34	4.5	4.5	NUM
ejpam-6923	263	35	5	5	NUM
ejpam-6923	263	36	5	5	NUM
ejpam-6923	263	37	epochs	epoch	NOUN
ejpam-6923	263	38	-1	-1	PUNCT
ejpam-6923	263	39	0	0	NUM
ejpam-6923	263	40	1	1	NUM
ejpam-6923	263	41	va	va	NOUN
ejpam-6923	263	42	l	l	NOUN
ejpam-6923	263	43	f	f	PROPN
ejpam-6923	263	44	ai	ai	VERB
ejpam-6923	263	45	l	l	NOUN
ejpam-6923	263	46	validation	validation	NOUN
ejpam-6923	263	47	checks	check	NOUN
ejpam-6923	263	48	=	=	SYM
ejpam-6923	263	49	0	0	NUM
ejpam-6923	263	50	,	,	PUNCT
ejpam-6923	263	51	at	at	ADP
ejpam-6923	263	52	epoch	epoch	NOUN
ejpam-6923	263	53	5	5	NUM
ejpam-6923	263	54	figure	figure	NOUN
ejpam-6923	263	55	11	11	NUM
ejpam-6923	263	56	:	:	PUNCT
ejpam-6923	263	57	training	train	VERB
ejpam-6923	263	58	test	test	NOUN
ejpam-6923	263	59	of	of	ADP
ejpam-6923	263	60	the	the	DET
ejpam-6923	263	61	model	model	NOUN
ejpam-6923	263	62	at	at	ADP
ejpam-6923	263	63	epoch	epoch	PROPN
ejpam-6923	263	64	5	5	NUM
ejpam-6923	263	65	.	.	PUNCT
ejpam-6923	264	1	asma	asma	PROPN
ejpam-6923	264	2	et	et	PROPN
ejpam-6923	264	3	al	al	PROPN
ejpam-6923	264	4	.	.	PUNCT
ejpam-6923	264	5	/	/	SYM
ejpam-6923	264	6	eur	eur	PROPN
ejpam-6923	264	7	.	.	PUNCT
ejpam-6923	265	1	j.	j.	PROPN
ejpam-6923	265	2	pure	pure	PROPN
ejpam-6923	265	3	appl	appl	PROPN
ejpam-6923	265	4	.	.	PROPN
ejpam-6923	265	5	math	math	PROPN
ejpam-6923	265	6	,	,	PUNCT
ejpam-6923	265	7	18	18	NUM
ejpam-6923	265	8	(	(	PUNCT
ejpam-6923	265	9	4	4	NUM
ejpam-6923	265	10	)	)	PUNCT
ejpam-6923	265	11	(	(	PUNCT
ejpam-6923	265	12	2025	2025	NUM
ejpam-6923	265	13	)	)	PUNCT
ejpam-6923	265	14	,	,	PUNCT
ejpam-6923	265	15	6923	6923	NUM
ejpam-6923	265	16	18	18	NUM
ejpam-6923	265	17	of	of	ADP
ejpam-6923	265	18	22	22	NUM
ejpam-6923	265	19	0	0	NUM
ejpam-6923	265	20	20	20	NUM
ejpam-6923	265	21	40	40	NUM
ejpam-6923	265	22	60	60	NUM
ejpam-6923	265	23	80	80	NUM
ejpam-6923	265	24	100	100	NUM
ejpam-6923	265	25	120	120	NUM
ejpam-6923	265	26	140	140	NUM
ejpam-6923	265	27	160	160	NUM
ejpam-6923	265	28	in	in	ADP
ejpam-6923	265	29	st	st	PROPN
ejpam-6923	265	30	an	an	DET
ejpam-6923	265	31	ce	ce	PROPN
ejpam-6923	265	32	s	s	PART
ejpam-6923	265	33	error	error	NOUN
ejpam-6923	265	34	histogram	histogram	NOUN
ejpam-6923	265	35	with	with	ADP
ejpam-6923	265	36	20	20	NUM
ejpam-6923	265	37	bins	bin	NOUN
ejpam-6923	265	38	-0	-0	PUNCT
ejpam-6923	265	39	.0	.0	NUM
ejpam-6923	265	40	01	01	NUM
ejpam-6923	265	41	75	75	NUM
ejpam-6923	265	42	-0	-0	SYM
ejpam-6923	265	43	.0	.0	NUM
ejpam-6923	265	44	01	01	NUM
ejpam-6923	265	45	59	59	NUM
ejpam-6923	265	46	-0	-0	SYM
ejpam-6923	265	47	.0	.0	NUM
ejpam-6923	265	48	01	01	NUM
ejpam-6923	265	49	43	43	NUM
ejpam-6923	265	50	-0	-0	SYM
ejpam-6923	265	51	.0	.0	NUM
ejpam-6923	266	1	01	01	NUM
ejpam-6923	266	2	27	27	NUM
ejpam-6923	266	3	-0	-0	SYM
ejpam-6923	266	4	.0	.0	NUM
ejpam-6923	266	5	01	01	NUM
ejpam-6923	266	6	11	11	NUM
ejpam-6923	266	7	-0	-0	SYM
ejpam-6923	266	8	.0	.0	NUM
ejpam-6923	266	9	00	00	NUM
ejpam-6923	266	10	95	95	NUM
ejpam-6923	266	11	-0	-0	SYM
ejpam-6923	266	12	.0	.0	NUM
ejpam-6923	266	13	00	00	NUM
ejpam-6923	266	14	79	79	NUM
ejpam-6923	266	15	-0	-0	SYM
ejpam-6923	266	16	.0	.0	NUM
ejpam-6923	266	17	00	00	NUM
ejpam-6923	266	18	63	63	NUM
ejpam-6923	266	19	-0	-0	SYM
ejpam-6923	266	20	.0	.0	NUM
ejpam-6923	266	21	00	00	NUM
ejpam-6923	266	22	48	48	NUM
ejpam-6923	266	23	-0	-0	SYM
ejpam-6923	266	24	.0	.0	NUM
ejpam-6923	266	25	00	00	NUM
ejpam-6923	266	26	32	32	NUM
ejpam-6923	266	27	-0	-0	SYM
ejpam-6923	266	28	.0	.0	NUM
ejpam-6923	266	29	00	00	NUM
ejpam-6923	266	30	16	16	NUM
ejpam-6923	266	31	1	1	NUM
ejpam-6923	266	32	.	.	PUNCT
ejpam-6923	266	33	84	84	NUM
ejpam-6923	266	34	e06	e06	NOUN
ejpam-6923	266	35	0	0	NUM
ejpam-6923	266	36	.	.	PUNCT
ejpam-6923	266	37	00	00	NUM
ejpam-6923	267	1	01	01	NUM
ejpam-6923	267	2	61	61	NUM
ejpam-6923	267	3	0	0	NUM
ejpam-6923	267	4	.	.	PUNCT
ejpam-6923	267	5	00	00	NUM
ejpam-6923	268	1	03	03	NUM
ejpam-6923	268	2	2	2	NUM
ejpam-6923	268	3	0	0	NUM
ejpam-6923	268	4	.	.	PUNCT
ejpam-6923	268	5	00	00	NUM
ejpam-6923	268	6	04	04	NUM
ejpam-6923	269	1	79	79	NUM
ejpam-6923	269	2	0	0	NUM
ejpam-6923	269	3	.	.	PUNCT
ejpam-6923	269	4	00	00	NUM
ejpam-6923	270	1	06	06	NUM
ejpam-6923	271	1	38	38	NUM
ejpam-6923	271	2	0	0	NUM
ejpam-6923	271	3	.	.	PUNCT
ejpam-6923	271	4	00	00	NUM
ejpam-6923	272	1	07	07	NUM
ejpam-6923	272	2	97	97	NUM
ejpam-6923	272	3	0	0	NUM
ejpam-6923	272	4	.	.	PUNCT
ejpam-6923	272	5	00	00	NUM
ejpam-6923	273	1	09	09	NUM
ejpam-6923	273	2	56	56	NUM
ejpam-6923	273	3	0	0	NUM
ejpam-6923	273	4	.	.	PUNCT
ejpam-6923	273	5	00	00	NUM
ejpam-6923	274	1	11	11	NUM
ejpam-6923	274	2	15	15	NUM
ejpam-6923	274	3	0	0	NUM
ejpam-6923	274	4	.	.	PUNCT
ejpam-6923	274	5	00	00	NUM
ejpam-6923	275	1	12	12	NUM
ejpam-6923	275	2	74	74	NUM
ejpam-6923	275	3	errors	error	NOUN
ejpam-6923	275	4	=	=	SYM
ejpam-6923	275	5	targets	target	NOUN
ejpam-6923	275	6	outputs	output	NOUN
ejpam-6923	275	7	training	train	VERB
ejpam-6923	275	8	validation	validation	NOUN
ejpam-6923	275	9	test	test	NOUN
ejpam-6923	275	10	zero	zero	NUM
ejpam-6923	275	11	error	error	NOUN
ejpam-6923	275	12	figure	figure	NOUN
ejpam-6923	275	13	12	12	NUM
ejpam-6923	275	14	:	:	PUNCT
ejpam-6923	275	15	training	training	NOUN
ejpam-6923	275	16	histogram	histogram	NOUN
ejpam-6923	275	17	of	of	ADP
ejpam-6923	275	18	the	the	DET
ejpam-6923	275	19	model	model	NOUN
ejpam-6923	275	20	at	at	ADP
ejpam-6923	275	21	epoch	epoch	NOUN
ejpam-6923	275	22	5	5	NUM
ejpam-6923	275	23	.	.	NOUN
ejpam-6923	275	24	0	0	NUM
ejpam-6923	275	25	0.2	0.2	NUM
ejpam-6923	275	26	0.4	0.4	NUM
ejpam-6923	275	27	0.6	0.6	NUM
ejpam-6923	275	28	0.8	0.8	NUM
ejpam-6923	275	29	target	target	NOUN
ejpam-6923	275	30	0	0	NUM
ejpam-6923	275	31	0.2	0.2	NUM
ejpam-6923	275	32	0.4	0.4	NUM
ejpam-6923	275	33	0.6	0.6	NUM
ejpam-6923	275	34	0.8	0.8	NUM
ejpam-6923	275	35	o	o	NOUN
ejpam-6923	275	36	ut	ut	PROPN
ejpam-6923	275	37	pu	pu	PROPN
ejpam-6923	275	38	t	t	PROPN
ejpam-6923	275	39	~	~	PUNCT
ejpam-6923	275	40	=	=	SYM
ejpam-6923	276	1	1	1	X
ejpam-6923	276	2	*	*	PUNCT
ejpam-6923	276	3	ta	ta	PART
ejpam-6923	276	4	rg	rg	VERB
ejpam-6923	276	5	et	et	PROPN
ejpam-6923	276	6	+	+	CCONJ
ejpam-6923	276	7	0	0	NUM
ejpam-6923	276	8	.0	.0	NUM
ejpam-6923	276	9	00	00	NUM
ejpam-6923	276	10	1	1	NUM
ejpam-6923	276	11	training	training	NOUN
ejpam-6923	276	12	:	:	PUNCT
ejpam-6923	276	13	r=1	r=1	NOUN
ejpam-6923	276	14	data	datum	NOUN
ejpam-6923	276	15	fit	fit	ADJ
ejpam-6923	276	16	y	y	PROPN
ejpam-6923	276	17	=	=	PUNCT
ejpam-6923	276	18	t	t	PROPN
ejpam-6923	276	19	0	0	NUM
ejpam-6923	276	20	0.2	0.2	NUM
ejpam-6923	276	21	0.4	0.4	NUM
ejpam-6923	276	22	0.6	0.6	NUM
ejpam-6923	276	23	target	target	NOUN
ejpam-6923	276	24	0	0	NUM
ejpam-6923	276	25	0.1	0.1	NUM
ejpam-6923	276	26	0.2	0.2	NUM
ejpam-6923	276	27	0.3	0.3	NUM
ejpam-6923	276	28	0.4	0.4	NUM
ejpam-6923	276	29	0.5	0.5	NUM
ejpam-6923	276	30	0.6	0.6	NUM
ejpam-6923	276	31	0.7	0.7	NUM
ejpam-6923	276	32	o	o	NOUN
ejpam-6923	276	33	ut	ut	PROPN
ejpam-6923	276	34	pu	pu	PROPN
ejpam-6923	276	35	t	t	PROPN
ejpam-6923	276	36	~	~	PUNCT
ejpam-6923	276	37	=	=	SYM
ejpam-6923	277	1	1	1	X
ejpam-6923	277	2	*	*	PUNCT
ejpam-6923	277	3	ta	ta	PART
ejpam-6923	277	4	rg	rg	VERB
ejpam-6923	277	5	et	et	NOUN
ejpam-6923	277	6	+	+	CCONJ
ejpam-6923	277	7	7	7	NUM
ejpam-6923	277	8	.9	.9	NUM
ejpam-6923	277	9	e05	e05	ADJ
ejpam-6923	277	10	validation	validation	NOUN
ejpam-6923	277	11	:	:	PUNCT
ejpam-6923	277	12	r=1	r=1	NOUN
ejpam-6923	277	13	data	datum	NOUN
ejpam-6923	277	14	fit	fit	ADJ
ejpam-6923	277	15	y	y	PROPN
ejpam-6923	277	16	=	=	PUNCT
ejpam-6923	277	17	t	t	PROPN
ejpam-6923	277	18	0	0	NUM
ejpam-6923	277	19	0.2	0.2	NUM
ejpam-6923	277	20	0.4	0.4	NUM
ejpam-6923	277	21	0.6	0.6	NUM
ejpam-6923	277	22	target	target	NOUN
ejpam-6923	277	23	0	0	NUM
ejpam-6923	277	24	0.1	0.1	NUM
ejpam-6923	277	25	0.2	0.2	NUM
ejpam-6923	277	26	0.3	0.3	NUM
ejpam-6923	277	27	0.4	0.4	NUM
ejpam-6923	277	28	0.5	0.5	NUM
ejpam-6923	277	29	0.6	0.6	NUM
ejpam-6923	277	30	0.7	0.7	NUM
ejpam-6923	277	31	o	o	NOUN
ejpam-6923	277	32	ut	ut	PROPN
ejpam-6923	277	33	pu	pu	PROPN
ejpam-6923	277	34	t	t	PROPN
ejpam-6923	277	35	~	~	PUNCT
ejpam-6923	277	36	=	=	SYM
ejpam-6923	278	1	1	1	X
ejpam-6923	278	2	*	*	PUNCT
ejpam-6923	278	3	ta	ta	PART
ejpam-6923	278	4	rg	rg	VERB
ejpam-6923	278	5	et	et	PROPN
ejpam-6923	278	6	+	+	CCONJ
ejpam-6923	278	7	9	9	NUM
ejpam-6923	278	8	.8	.8	NUM
ejpam-6923	278	9	e05	e05	ADJ
ejpam-6923	278	10	test	test	NOUN
ejpam-6923	278	11	:	:	PUNCT
ejpam-6923	278	12	r=1	r=1	NOUN
ejpam-6923	278	13	data	datum	NOUN
ejpam-6923	278	14	fit	fit	ADJ
ejpam-6923	278	15	y	y	PROPN
ejpam-6923	278	16	=	=	PUNCT
ejpam-6923	278	17	t	t	PROPN
ejpam-6923	278	18	0	0	NUM
ejpam-6923	278	19	0.2	0.2	NUM
ejpam-6923	278	20	0.4	0.4	NUM
ejpam-6923	278	21	0.6	0.6	NUM
ejpam-6923	278	22	0.8	0.8	NUM
ejpam-6923	278	23	target	target	NOUN
ejpam-6923	278	24	0	0	NUM
ejpam-6923	279	1	0.2	0.2	NUM
ejpam-6923	279	2	0.4	0.4	NUM
ejpam-6923	279	3	0.6	0.6	NUM
ejpam-6923	279	4	0.8	0.8	NUM
ejpam-6923	279	5	o	o	NOUN
ejpam-6923	279	6	ut	ut	PROPN
ejpam-6923	279	7	pu	pu	PROPN
ejpam-6923	279	8	t	t	PROPN
ejpam-6923	280	1	~	~	PUNCT
ejpam-6923	280	2	=	=	SYM
ejpam-6923	281	1	1	1	X
ejpam-6923	281	2	*	*	PUNCT
ejpam-6923	281	3	ta	ta	PART
ejpam-6923	281	4	rg	rg	VERB
ejpam-6923	281	5	et	et	NOUN
ejpam-6923	281	6	+	+	CCONJ
ejpam-6923	281	7	9	9	NUM
ejpam-6923	281	8	.9	.9	NUM
ejpam-6923	281	9	e05	e05	NOUN
ejpam-6923	281	10	all	all	ADV
ejpam-6923	281	11	:	:	PUNCT
ejpam-6923	281	12	r=1	r=1	NOUN
ejpam-6923	281	13	data	datum	NOUN
ejpam-6923	281	14	fit	fit	ADJ
ejpam-6923	281	15	y	y	PROPN
ejpam-6923	281	16	=	=	SYM
ejpam-6923	281	17	t	t	PROPN
ejpam-6923	281	18	figure	figure	NOUN
ejpam-6923	281	19	13	13	NUM
ejpam-6923	281	20	:	:	PUNCT
ejpam-6923	281	21	training	training	NOUN
ejpam-6923	281	22	regression	regression	NOUN
ejpam-6923	281	23	of	of	ADP
ejpam-6923	281	24	the	the	DET
ejpam-6923	281	25	model	model	NOUN
ejpam-6923	281	26	at	at	ADP
ejpam-6923	281	27	epoch	epoch	PROPN
ejpam-6923	281	28	5	5	NUM
ejpam-6923	281	29	.	.	PUNCT
ejpam-6923	282	1	asma	asma	PROPN
ejpam-6923	282	2	et	et	PROPN
ejpam-6923	282	3	al	al	PROPN
ejpam-6923	282	4	.	.	PUNCT
ejpam-6923	282	5	/	/	SYM
ejpam-6923	282	6	eur	eur	PROPN
ejpam-6923	282	7	.	.	PUNCT
ejpam-6923	283	1	j.	j.	PROPN
ejpam-6923	283	2	pure	pure	PROPN
ejpam-6923	283	3	appl	appl	PROPN
ejpam-6923	283	4	.	.	PROPN
ejpam-6923	283	5	math	math	PROPN
ejpam-6923	283	6	,	,	PUNCT
ejpam-6923	283	7	18	18	NUM
ejpam-6923	283	8	(	(	PUNCT
ejpam-6923	283	9	4	4	NUM
ejpam-6923	283	10	)	)	PUNCT
ejpam-6923	283	11	(	(	PUNCT
ejpam-6923	283	12	2025	2025	NUM
ejpam-6923	283	13	)	)	PUNCT
ejpam-6923	283	14	,	,	PUNCT
ejpam-6923	283	15	6923	6923	NUM
ejpam-6923	283	16	19	19	NUM
ejpam-6923	283	17	of	of	ADP
ejpam-6923	283	18	22	22	NUM
ejpam-6923	283	19	0	0	NUM
ejpam-6923	283	20	1	1	NUM
ejpam-6923	283	21	2	2	NUM
ejpam-6923	283	22	3	3	NUM
ejpam-6923	283	23	4	4	NUM
ejpam-6923	283	24	5	5	NUM
ejpam-6923	283	25	6	6	NUM
ejpam-6923	283	26	7	7	NUM
ejpam-6923	283	27	8	8	NUM
ejpam-6923	283	28	9	9	NUM
ejpam-6923	283	29	10	10	NUM
ejpam-6923	283	30	0.74	0.74	NUM
ejpam-6923	283	31	0.75	0.75	NUM
ejpam-6923	283	32	0.76	0.76	NUM
ejpam-6923	283	33	0.77	0.77	NUM
ejpam-6923	283	34	0.78	0.78	NUM
ejpam-6923	283	35	0.79	0.79	NUM
ejpam-6923	283	36	0.8	0.8	NUM
ejpam-6923	283	37	o	o	NOUN
ejpam-6923	283	38	u	u	NOUN
ejpam-6923	283	39	tp	tp	ADP
ejpam-6923	283	40	u	u	PROPN
ejpam-6923	283	41	t	t	PROPN
ejpam-6923	283	42	an	an	DET
ejpam-6923	283	43	d	d	PROPN
ejpam-6923	283	44	t	t	PROPN
ejpam-6923	283	45	ar	ar	PROPN
ejpam-6923	283	46	g	g	PROPN
ejpam-6923	283	47	et	et	PROPN
ejpam-6923	283	48	function	function	VERB
ejpam-6923	283	49	fit	fit	ADJ
ejpam-6923	283	50	for	for	ADP
ejpam-6923	283	51	output	output	NOUN
ejpam-6923	283	52	element	element	NOUN
ejpam-6923	283	53	1	1	NUM
ejpam-6923	283	54	training	training	NOUN
ejpam-6923	283	55	targets	target	NOUN
ejpam-6923	283	56	training	train	VERB
ejpam-6923	283	57	outputs	outputs	ADP
ejpam-6923	283	58	validation	validation	NOUN
ejpam-6923	283	59	targets	target	NOUN
ejpam-6923	283	60	validation	validation	NOUN
ejpam-6923	283	61	outputs	output	NOUN
ejpam-6923	283	62	test	test	NOUN
ejpam-6923	283	63	targets	target	NOUN
ejpam-6923	283	64	test	test	NOUN
ejpam-6923	283	65	outputs	output	NOUN
ejpam-6923	283	66	errors	error	NOUN
ejpam-6923	283	67	fit	fit	VERB
ejpam-6923	283	68	input	input	NOUN
ejpam-6923	283	69	-1	-1	PUNCT
ejpam-6923	283	70	-0.5	-0.5	X
ejpam-6923	283	71	0	0	NUM
ejpam-6923	283	72	0.5	0.5	NUM
ejpam-6923	283	73	1	1	NUM
ejpam-6923	283	74	e	e	NOUN
ejpam-6923	283	75	rr	rr	NOUN
ejpam-6923	283	76	o	o	NOUN
ejpam-6923	283	77	r	r	NOUN
ejpam-6923	283	78	10	10	NUM
ejpam-6923	283	79	-3	-3	PUNCT
ejpam-6923	283	80	targets	target	NOUN
ejpam-6923	283	81	outputs	output	NOUN
ejpam-6923	283	82	figure	figure	VERB
ejpam-6923	283	83	14	14	NUM
ejpam-6923	283	84	:	:	PUNCT
ejpam-6923	283	85	model	model	NOUN
ejpam-6923	283	86	fit	fit	ADJ
ejpam-6923	283	87	to	to	ADP
ejpam-6923	283	88	the	the	DET
ejpam-6923	283	89	training	training	NOUN
ejpam-6923	283	90	data	datum	NOUN
ejpam-6923	283	91	at	at	ADP
ejpam-6923	283	92	epoch	epoch	NOUN
ejpam-6923	283	93	5	5	NUM
ejpam-6923	283	94	.	.	NOUN
ejpam-6923	283	95	0	0	NUM
ejpam-6923	283	96	5	5	NUM
ejpam-6923	283	97	10	10	NUM
ejpam-6923	283	98	t	t	NOUN
ejpam-6923	283	99	0.74	0.74	NUM
ejpam-6923	283	100	0.76	0.76	NUM
ejpam-6923	283	101	0.78	0.78	NUM
ejpam-6923	283	102	0.8	0.8	NUM
ejpam-6923	283	103	s	s	NOUN
ejpam-6923	283	104	(	(	PUNCT
ejpam-6923	283	105	t	t	PROPN
ejpam-6923	283	106	)	)	PUNCT
ejpam-6923	283	107	ladm	ladm	ADP
ejpam-6923	283	108	nn	nn	X
ejpam-6923	283	109	output	output	NOUN
ejpam-6923	283	110	0	0	NUM
ejpam-6923	283	111	5	5	NUM
ejpam-6923	283	112	10	10	NUM
ejpam-6923	283	113	t	t	NOUN
ejpam-6923	283	114	0.15	0.15	NUM
ejpam-6923	283	115	0.16	0.16	NUM
ejpam-6923	283	116	0.17	0.17	NUM
ejpam-6923	283	117	0.18	0.18	NUM
ejpam-6923	283	118	0.19	0.19	NUM
ejpam-6923	283	119	0.2	0.2	NUM
ejpam-6923	283	120	e	e	NOUN
ejpam-6923	283	121	(	(	PUNCT
ejpam-6923	283	122	t	t	PROPN
ejpam-6923	283	123	)	)	PUNCT
ejpam-6923	283	124	ladm	ladm	ADP
ejpam-6923	283	125	nn	nn	X
ejpam-6923	283	126	output	output	NOUN
ejpam-6923	283	127	0	0	NUM
ejpam-6923	283	128	5	5	NUM
ejpam-6923	283	129	10	10	NUM
ejpam-6923	283	130	t	t	NOUN
ejpam-6923	283	131	0	0	NUM
ejpam-6923	283	132	0.01	0.01	NUM
ejpam-6923	284	1	0.02	0.02	NUM
ejpam-6923	284	2	0.03	0.03	NUM
ejpam-6923	284	3	0.04	0.04	NUM
ejpam-6923	284	4	0.05	0.05	NUM
ejpam-6923	284	5	c	c	NOUN
ejpam-6923	284	6	(	(	PUNCT
ejpam-6923	284	7	t	t	PROPN
ejpam-6923	284	8	)	)	PUNCT
ejpam-6923	284	9	ladm	ladm	ADP
ejpam-6923	284	10	nn	nn	X
ejpam-6923	284	11	output	output	NOUN
ejpam-6923	284	12	0	0	NUM
ejpam-6923	284	13	5	5	NUM
ejpam-6923	284	14	10	10	NUM
ejpam-6923	284	15	t	t	NOUN
ejpam-6923	284	16	0	0	NUM
ejpam-6923	284	17	5	5	NUM
ejpam-6923	284	18	10	10	NUM
ejpam-6923	284	19	15	15	NUM
ejpam-6923	284	20	p	p	NOUN
ejpam-6923	284	21	(	(	PUNCT
ejpam-6923	284	22	t	t	PROPN
ejpam-6923	284	23	)	)	PUNCT
ejpam-6923	284	24	10	10	NUM
ejpam-6923	284	25	-3	-3	PUNCT
ejpam-6923	284	26	ladm	ladm	PROPN
ejpam-6923	284	27	nn	nn	PROPN
ejpam-6923	284	28	output	output	NOUN
ejpam-6923	284	29	figure	figure	NOUN
ejpam-6923	284	30	15	15	NUM
ejpam-6923	284	31	:	:	PUNCT
ejpam-6923	284	32	comparison	comparison	NOUN
ejpam-6923	284	33	of	of	ADP
ejpam-6923	284	34	nn	nn	X
ejpam-6923	284	35	approximation	approximation	NOUN
ejpam-6923	284	36	and	and	CCONJ
ejpam-6923	284	37	ladm	ladm	ADJ
ejpam-6923	284	38	solutions	solution	NOUN
ejpam-6923	284	39	.	.	PUNCT
ejpam-6923	285	1	asma	asma	PROPN
ejpam-6923	285	2	et	et	PROPN
ejpam-6923	285	3	al	al	PROPN
ejpam-6923	285	4	.	.	PUNCT
ejpam-6923	285	5	/	/	SYM
ejpam-6923	285	6	eur	eur	PROPN
ejpam-6923	285	7	.	.	PUNCT
ejpam-6923	286	1	j.	j.	PROPN
ejpam-6923	286	2	pure	pure	PROPN
ejpam-6923	286	3	appl	appl	PROPN
ejpam-6923	286	4	.	.	PROPN
ejpam-6923	286	5	math	math	PROPN
ejpam-6923	286	6	,	,	PUNCT
ejpam-6923	286	7	18	18	NUM
ejpam-6923	286	8	(	(	PUNCT
ejpam-6923	286	9	4	4	NUM
ejpam-6923	286	10	)	)	PUNCT
ejpam-6923	286	11	(	(	PUNCT
ejpam-6923	286	12	2025	2025	NUM
ejpam-6923	286	13	)	)	PUNCT
ejpam-6923	286	14	,	,	PUNCT
ejpam-6923	286	15	6923	6923	NUM
ejpam-6923	286	16	20	20	NUM
ejpam-6923	286	17	of	of	ADP
ejpam-6923	286	18	22	22	NUM
ejpam-6923	286	19	figures	figure	NOUN
ejpam-6923	286	20	10	10	NUM
ejpam-6923	286	21	-	-	SYM
ejpam-6923	286	22	15	15	NUM
ejpam-6923	286	23	provide	provide	NOUN
ejpam-6923	286	24	illustrations	illustration	NOUN
ejpam-6923	286	25	of	of	ADP
ejpam-6923	286	26	mse	mse	NOUN
ejpam-6923	286	27	performance	performance	NOUN
ejpam-6923	286	28	,	,	PUNCT
ejpam-6923	286	29	training	training	NOUN
ejpam-6923	286	30	tests	test	NOUN
ejpam-6923	286	31	,	,	PUNCT
ejpam-6923	286	32	and	and	CCONJ
ejpam-6923	286	33	comparison	comparison	NOUN
ejpam-6923	286	34	of	of	ADP
ejpam-6923	286	35	nn	nn	PROPN
ejpam-6923	286	36	outputs	output	NOUN
ejpam-6923	286	37	and	and	CCONJ
ejpam-6923	286	38	ladm	ladm	ADJ
ejpam-6923	286	39	solutions	solution	NOUN
ejpam-6923	286	40	at	at	ADP
ejpam-6923	286	41	θ	θ	PROPN
ejpam-6923	286	42	=	=	SYM
ejpam-6923	286	43	0.5	0.5	NUM
ejpam-6923	286	44	of	of	ADP
ejpam-6923	286	45	(	(	PUNCT
ejpam-6923	286	46	2	2	NUM
ejpam-6923	286	47	)	)	PUNCT
ejpam-6923	286	48	.	.	PUNCT
ejpam-6923	287	1	in	in	ADP
ejpam-6923	287	2	this	this	DET
ejpam-6923	287	3	work	work	NOUN
ejpam-6923	287	4	,	,	PUNCT
ejpam-6923	287	5	the	the	DET
ejpam-6923	287	6	artificial	artificial	ADJ
ejpam-6923	287	7	neural	neural	ADJ
ejpam-6923	287	8	network	network	NOUN
ejpam-6923	287	9	(	(	PUNCT
ejpam-6923	287	10	ann	ann	PROPN
ejpam-6923	287	11	)	)	PUNCT
ejpam-6923	287	12	validation	validation	NOUN
ejpam-6923	287	13	has	have	AUX
ejpam-6923	287	14	been	be	AUX
ejpam-6923	287	15	carried	carry	VERB
ejpam-6923	287	16	out	out	ADP
ejpam-6923	287	17	primarily	primarily	ADV
ejpam-6923	287	18	to	to	PART
ejpam-6923	287	19	confirm	confirm	VERB
ejpam-6923	287	20	the	the	DET
ejpam-6923	287	21	accuracy	accuracy	NOUN
ejpam-6923	287	22	of	of	ADP
ejpam-6923	287	23	the	the	DET
ejpam-6923	287	24	approximate	approximate	ADJ
ejpam-6923	287	25	solutions	solution	NOUN
ejpam-6923	287	26	obtained	obtain	VERB
ejpam-6923	287	27	through	through	ADP
ejpam-6923	287	28	the	the	DET
ejpam-6923	287	29	ladm	ladm	NOUN
ejpam-6923	287	30	.	.	PUNCT
ejpam-6923	288	1	the	the	DET
ejpam-6923	288	2	training	training	NOUN
ejpam-6923	288	3	,	,	PUNCT
ejpam-6923	288	4	validation	validation	NOUN
ejpam-6923	288	5	,	,	PUNCT
ejpam-6923	288	6	and	and	CCONJ
ejpam-6923	288	7	testing	testing	NOUN
ejpam-6923	288	8	sets	set	NOUN
ejpam-6923	288	9	were	be	AUX
ejpam-6923	288	10	designed	design	VERB
ejpam-6923	288	11	to	to	PART
ejpam-6923	288	12	ensure	ensure	VERB
ejpam-6923	288	13	consistency	consistency	NOUN
ejpam-6923	288	14	in	in	ADP
ejpam-6923	288	15	the	the	DET
ejpam-6923	288	16	results	result	NOUN
ejpam-6923	288	17	,	,	PUNCT
ejpam-6923	288	18	and	and	CCONJ
ejpam-6923	288	19	the	the	DET
ejpam-6923	288	20	regression	regression	NOUN
ejpam-6923	288	21	values	value	NOUN
ejpam-6923	288	22	confirmed	confirm	VERB
ejpam-6923	288	23	the	the	DET
ejpam-6923	288	24	reliability	reliability	NOUN
ejpam-6923	288	25	of	of	ADP
ejpam-6923	288	26	the	the	DET
ejpam-6923	288	27	numerical	numerical	ADJ
ejpam-6923	288	28	scheme	scheme	NOUN
ejpam-6923	288	29	.	.	PUNCT
ejpam-6923	289	1	the	the	DET
ejpam-6923	289	2	current	current	ADJ
ejpam-6923	289	3	validation	validation	NOUN
ejpam-6923	289	4	is	be	AUX
ejpam-6923	289	5	sufficient	sufficient	ADJ
ejpam-6923	289	6	for	for	ADP
ejpam-6923	289	7	demonstrating	demonstrate	VERB
ejpam-6923	289	8	the	the	DET
ejpam-6923	289	9	correctness	correctness	NOUN
ejpam-6923	289	10	of	of	ADP
ejpam-6923	289	11	the	the	DET
ejpam-6923	289	12	proposed	propose	VERB
ejpam-6923	289	13	methodology	methodology	NOUN
ejpam-6923	289	14	.	.	PUNCT
ejpam-6923	290	1	nevertheless	nevertheless	ADV
ejpam-6923	290	2	,	,	PUNCT
ejpam-6923	290	3	future	future	ADJ
ejpam-6923	290	4	studies	study	NOUN
ejpam-6923	290	5	may	may	AUX
ejpam-6923	290	6	incorporate	incorporate	VERB
ejpam-6923	290	7	advanced	advanced	ADJ
ejpam-6923	290	8	ann	ann	PROPN
ejpam-6923	290	9	architectures	architecture	NOUN
ejpam-6923	290	10	and	and	CCONJ
ejpam-6923	290	11	more	more	ADV
ejpam-6923	290	12	detailed	detailed	ADJ
ejpam-6923	290	13	performance	performance	NOUN
ejpam-6923	290	14	evaluations	evaluation	NOUN
ejpam-6923	290	15	to	to	PART
ejpam-6923	290	16	further	far	ADV
ejpam-6923	290	17	strengthen	strengthen	VERB
ejpam-6923	290	18	the	the	DET
ejpam-6923	290	19	computational	computational	ADJ
ejpam-6923	290	20	validation	validation	NOUN
ejpam-6923	290	21	of	of	ADP
ejpam-6923	290	22	fractional	fractional	ADJ
ejpam-6923	290	23	enzymatic	enzymatic	ADJ
ejpam-6923	290	24	models	model	NOUN
ejpam-6923	290	25	.	.	PUNCT
ejpam-6923	291	1	7	7	X
ejpam-6923	291	2	.	.	X
ejpam-6923	291	3	conclusion	conclusion	NOUN
ejpam-6923	291	4	this	this	DET
ejpam-6923	291	5	study	study	NOUN
ejpam-6923	291	6	has	have	AUX
ejpam-6923	291	7	proposed	propose	VERB
ejpam-6923	291	8	and	and	CCONJ
ejpam-6923	291	9	analyzed	analyze	VERB
ejpam-6923	291	10	a	a	DET
ejpam-6923	291	11	fractional	fractional	ADJ
ejpam-6923	291	12	-	-	PUNCT
ejpam-6923	291	13	order	order	NOUN
ejpam-6923	291	14	enzymatic	enzymatic	ADJ
ejpam-6923	291	15	reaction	reaction	NOUN
ejpam-6923	291	16	model	model	NOUN
ejpam-6923	291	17	using	use	VERB
ejpam-6923	291	18	the	the	DET
ejpam-6923	291	19	abc	abc	PROPN
ejpam-6923	291	20	derivative	derivative	NOUN
ejpam-6923	291	21	.	.	PUNCT
ejpam-6923	292	1	the	the	DET
ejpam-6923	292	2	model	model	NOUN
ejpam-6923	292	3	extends	extend	VERB
ejpam-6923	292	4	the	the	DET
ejpam-6923	292	5	classical	classical	ADJ
ejpam-6923	292	6	framework	framework	NOUN
ejpam-6923	292	7	by	by	ADP
ejpam-6923	292	8	incorporating	incorporate	VERB
ejpam-6923	292	9	memory	memory	NOUN
ejpam-6923	292	10	and	and	CCONJ
ejpam-6923	292	11	non	non	ADJ
ejpam-6923	292	12	-	-	ADJ
ejpam-6923	292	13	local	local	ADJ
ejpam-6923	292	14	effects	effect	NOUN
ejpam-6923	292	15	,	,	PUNCT
ejpam-6923	292	16	thereby	thereby	ADV
ejpam-6923	292	17	offering	offer	VERB
ejpam-6923	292	18	a	a	DET
ejpam-6923	292	19	more	more	ADV
ejpam-6923	292	20	realistic	realistic	ADJ
ejpam-6923	292	21	description	description	NOUN
ejpam-6923	292	22	of	of	ADP
ejpam-6923	292	23	biochemical	biochemical	ADJ
ejpam-6923	292	24	processes	process	NOUN
ejpam-6923	292	25	.	.	PUNCT
ejpam-6923	293	1	sensitivity	sensitivity	NOUN
ejpam-6923	293	2	analysis	analysis	NOUN
ejpam-6923	293	3	with	with	ADP
ejpam-6923	293	4	respect	respect	NOUN
ejpam-6923	293	5	to	to	ADP
ejpam-6923	293	6	reaction	reaction	NOUN
ejpam-6923	293	7	rate	rate	NOUN
ejpam-6923	293	8	parameters	parameter	NOUN
ejpam-6923	293	9	has	have	AUX
ejpam-6923	293	10	revealed	reveal	VERB
ejpam-6923	293	11	the	the	DET
ejpam-6923	293	12	crucial	crucial	ADJ
ejpam-6923	293	13	influence	influence	NOUN
ejpam-6923	293	14	of	of	ADP
ejpam-6923	293	15	these	these	DET
ejpam-6923	293	16	rates	rate	NOUN
ejpam-6923	293	17	on	on	ADP
ejpam-6923	293	18	system	system	NOUN
ejpam-6923	293	19	dynamics	dynamic	NOUN
ejpam-6923	293	20	.	.	PUNCT
ejpam-6923	294	1	these	these	DET
ejpam-6923	294	2	findings	finding	NOUN
ejpam-6923	294	3	suggest	suggest	VERB
ejpam-6923	294	4	that	that	SCONJ
ejpam-6923	294	5	fractional	fractional	ADJ
ejpam-6923	294	6	models	model	NOUN
ejpam-6923	294	7	can	can	AUX
ejpam-6923	294	8	serve	serve	VERB
ejpam-6923	294	9	as	as	ADP
ejpam-6923	294	10	powerful	powerful	ADJ
ejpam-6923	294	11	tools	tool	NOUN
ejpam-6923	294	12	for	for	ADP
ejpam-6923	294	13	refining	refine	VERB
ejpam-6923	294	14	enzyme	enzyme	NOUN
ejpam-6923	294	15	kinetics	kinetic	NOUN
ejpam-6923	294	16	,	,	PUNCT
ejpam-6923	294	17	offering	offer	VERB
ejpam-6923	294	18	improved	improved	ADJ
ejpam-6923	294	19	interpretability	interpretability	NOUN
ejpam-6923	294	20	compared	compare	VERB
ejpam-6923	294	21	to	to	ADP
ejpam-6923	294	22	classical	classical	ADJ
ejpam-6923	294	23	integer	integer	NOUN
ejpam-6923	294	24	-	-	PUNCT
ejpam-6923	294	25	order	order	NOUN
ejpam-6923	294	26	formulations	formulation	NOUN
ejpam-6923	294	27	.	.	PUNCT
ejpam-6923	295	1	furthermore	furthermore	ADV
ejpam-6923	295	2	,	,	PUNCT
ejpam-6923	295	3	the	the	DET
ejpam-6923	295	4	framework	framework	NOUN
ejpam-6923	295	5	has	have	VERB
ejpam-6923	295	6	potential	potential	ADJ
ejpam-6923	295	7	applications	application	NOUN
ejpam-6923	295	8	in	in	ADP
ejpam-6923	295	9	drug	drug	NOUN
ejpam-6923	295	10	development	development	NOUN
ejpam-6923	295	11	,	,	PUNCT
ejpam-6923	295	12	metabolic	metabolic	NOUN
ejpam-6923	295	13	engineering	engineering	NOUN
ejpam-6923	295	14	,	,	PUNCT
ejpam-6923	295	15	and	and	CCONJ
ejpam-6923	295	16	biochemical	biochemical	ADJ
ejpam-6923	295	17	process	process	NOUN
ejpam-6923	295	18	optimization	optimization	NOUN
ejpam-6923	295	19	,	,	PUNCT
ejpam-6923	295	20	where	where	SCONJ
ejpam-6923	295	21	refined	refined	ADJ
ejpam-6923	295	22	control	control	NOUN
ejpam-6923	295	23	strategies	strategy	NOUN
ejpam-6923	295	24	from	from	ADP
ejpam-6923	295	25	fractional	fractional	ADJ
ejpam-6923	295	26	modelling	modelling	NOUN
ejpam-6923	295	27	may	may	AUX
ejpam-6923	295	28	lead	lead	VERB
ejpam-6923	295	29	to	to	ADP
ejpam-6923	295	30	more	more	ADV
ejpam-6923	295	31	accurate	accurate	ADJ
ejpam-6923	295	32	predictions	prediction	NOUN
ejpam-6923	295	33	and	and	CCONJ
ejpam-6923	295	34	more	more	ADV
ejpam-6923	295	35	effective	effective	ADJ
ejpam-6923	295	36	process	process	NOUN
ejpam-6923	295	37	design	design	NOUN
ejpam-6923	295	38	.	.	PUNCT
ejpam-6923	296	1	future	future	ADJ
ejpam-6923	296	2	research	research	NOUN
ejpam-6923	296	3	should	should	AUX
ejpam-6923	296	4	address	address	VERB
ejpam-6923	296	5	several	several	ADJ
ejpam-6923	296	6	important	important	ADJ
ejpam-6923	296	7	extensions	extension	NOUN
ejpam-6923	296	8	of	of	ADP
ejpam-6923	296	9	this	this	DET
ejpam-6923	296	10	work	work	NOUN
ejpam-6923	296	11	.	.	PUNCT
ejpam-6923	297	1	one	one	NUM
ejpam-6923	297	2	direction	direction	NOUN
ejpam-6923	297	3	is	be	AUX
ejpam-6923	297	4	the	the	DET
ejpam-6923	297	5	validation	validation	NOUN
ejpam-6923	297	6	of	of	ADP
ejpam-6923	297	7	the	the	DET
ejpam-6923	297	8	proposed	propose	VERB
ejpam-6923	297	9	model	model	NOUN
ejpam-6923	297	10	against	against	ADP
ejpam-6923	297	11	experimental	experimental	ADJ
ejpam-6923	297	12	or	or	CCONJ
ejpam-6923	297	13	real	real	ADJ
ejpam-6923	297	14	biochemical	biochemical	ADJ
ejpam-6923	297	15	datasets	dataset	NOUN
ejpam-6923	297	16	,	,	PUNCT
ejpam-6923	297	17	which	which	PRON
ejpam-6923	297	18	would	would	AUX
ejpam-6923	297	19	strengthen	strengthen	VERB
ejpam-6923	297	20	its	its	PRON
ejpam-6923	297	21	practical	practical	ADJ
ejpam-6923	297	22	relevance	relevance	NOUN
ejpam-6923	297	23	.	.	PUNCT
ejpam-6923	298	1	secondly	secondly	ADV
ejpam-6923	298	2	,	,	PUNCT
ejpam-6923	298	3	expanding	expand	VERB
ejpam-6923	298	4	sensitivity	sensitivity	NOUN
ejpam-6923	298	5	analysis	analysis	NOUN
ejpam-6923	298	6	to	to	ADP
ejpam-6923	298	7	multiple	multiple	ADJ
ejpam-6923	298	8	parameters	parameter	NOUN
ejpam-6923	298	9	and	and	CCONJ
ejpam-6923	298	10	examining	examine	VERB
ejpam-6923	298	11	alternative	alternative	ADJ
ejpam-6923	298	12	fractional	fractional	ADJ
ejpam-6923	298	13	operators	operator	NOUN
ejpam-6923	298	14	could	could	AUX
ejpam-6923	298	15	uncover	uncover	VERB
ejpam-6923	298	16	deeper	deep	ADJ
ejpam-6923	298	17	insights	insight	NOUN
ejpam-6923	298	18	into	into	ADP
ejpam-6923	298	19	enzymatic	enzymatic	ADJ
ejpam-6923	298	20	dynamics	dynamic	NOUN
ejpam-6923	298	21	.	.	PUNCT
ejpam-6923	299	1	in	in	ADP
ejpam-6923	299	2	addition	addition	NOUN
ejpam-6923	299	3	,	,	PUNCT
ejpam-6923	299	4	integrating	integrate	VERB
ejpam-6923	299	5	advanced	advanced	ADJ
ejpam-6923	299	6	deep	deep	ADJ
ejpam-6923	299	7	learning	learning	NOUN
ejpam-6923	299	8	methods	method	NOUN
ejpam-6923	299	9	with	with	ADP
ejpam-6923	299	10	fractional	fractional	ADJ
ejpam-6923	299	11	approaches	approach	NOUN
ejpam-6923	299	12	may	may	AUX
ejpam-6923	299	13	provide	provide	VERB
ejpam-6923	299	14	scalable	scalable	ADJ
ejpam-6923	299	15	tools	tool	NOUN
ejpam-6923	299	16	for	for	ADP
ejpam-6923	299	17	analyzing	analyze	VERB
ejpam-6923	299	18	complex	complex	ADJ
ejpam-6923	299	19	biochemical	biochemical	ADJ
ejpam-6923	299	20	networks	network	NOUN
ejpam-6923	299	21	.	.	PUNCT
ejpam-6923	300	1	taken	take	VERB
ejpam-6923	300	2	together	together	ADV
ejpam-6923	300	3	,	,	PUNCT
ejpam-6923	300	4	these	these	DET
ejpam-6923	300	5	directions	direction	NOUN
ejpam-6923	300	6	would	would	AUX
ejpam-6923	300	7	not	not	PART
ejpam-6923	300	8	only	only	ADV
ejpam-6923	300	9	advance	advance	VERB
ejpam-6923	300	10	the	the	DET
ejpam-6923	300	11	theoretical	theoretical	ADJ
ejpam-6923	300	12	understanding	understanding	NOUN
ejpam-6923	300	13	of	of	ADP
ejpam-6923	300	14	fractional	fractional	ADJ
ejpam-6923	300	15	enzymatic	enzymatic	ADJ
ejpam-6923	300	16	models	model	NOUN
ejpam-6923	300	17	but	but	CCONJ
ejpam-6923	300	18	also	also	ADV
ejpam-6923	300	19	foster	foster	VERB
ejpam-6923	300	20	their	their	PRON
ejpam-6923	300	21	application	application	NOUN
ejpam-6923	300	22	in	in	ADP
ejpam-6923	300	23	interdisciplinary	interdisciplinary	ADJ
ejpam-6923	300	24	areas	area	NOUN
ejpam-6923	300	25	of	of	ADP
ejpam-6923	300	26	science	science	NOUN
ejpam-6923	300	27	and	and	CCONJ
ejpam-6923	300	28	engineering	engineering	NOUN
ejpam-6923	300	29	.	.	PUNCT
ejpam-6923	301	1	declaration	declaration	NOUN
ejpam-6923	301	2	of	of	ADP
ejpam-6923	301	3	competing	compete	VERB
ejpam-6923	301	4	interest	interest	NOUN
ejpam-6923	301	5	the	the	DET
ejpam-6923	301	6	authors	author	NOUN
ejpam-6923	301	7	declare	declare	VERB
ejpam-6923	301	8	that	that	SCONJ
ejpam-6923	301	9	they	they	PRON
ejpam-6923	301	10	have	have	VERB
ejpam-6923	301	11	no	no	DET
ejpam-6923	301	12	known	know	VERB
ejpam-6923	301	13	competing	compete	VERB
ejpam-6923	301	14	financial	financial	ADJ
ejpam-6923	301	15	interests	interest	NOUN
ejpam-6923	301	16	or	or	CCONJ
ejpam-6923	301	17	personal	personal	ADJ
ejpam-6923	301	18	relationships	relationship	NOUN
ejpam-6923	301	19	that	that	PRON
ejpam-6923	301	20	could	could	AUX
ejpam-6923	301	21	have	have	AUX
ejpam-6923	301	22	appeared	appear	VERB
ejpam-6923	301	23	to	to	PART
ejpam-6923	301	24	influence	influence	VERB
ejpam-6923	301	25	the	the	DET
ejpam-6923	301	26	work	work	NOUN
ejpam-6923	301	27	reported	report	VERB
ejpam-6923	301	28	in	in	ADP
ejpam-6923	301	29	this	this	DET
ejpam-6923	301	30	paper	paper	NOUN
ejpam-6923	301	31	.	.	PUNCT
ejpam-6923	302	1	funding	fund	VERB
ejpam-6923	302	2	this	this	DET
ejpam-6923	302	3	research	research	NOUN
ejpam-6923	302	4	was	be	AUX
ejpam-6923	302	5	funded	fund	VERB
ejpam-6923	302	6	by	by	ADP
ejpam-6923	302	7	national	national	ADJ
ejpam-6923	302	8	science	science	NOUN
ejpam-6923	302	9	,	,	PUNCT
ejpam-6923	302	10	research	research	NOUN
ejpam-6923	302	11	and	and	CCONJ
ejpam-6923	302	12	innovation	innovation	NOUN
ejpam-6923	302	13	fund	fund	NOUN
ejpam-6923	302	14	(	(	PUNCT
ejpam-6923	302	15	nsrf	nsrf	NOUN
ejpam-6923	302	16	)	)	PUNCT
ejpam-6923	302	17	,	,	PUNCT
ejpam-6923	302	18	and	and	CCONJ
ejpam-6923	302	19	king	king	PROPN
ejpam-6923	302	20	mongkut	mongkut	PROPN
ejpam-6923	302	21	’s	’s	PROPN
ejpam-6923	302	22	university	university	PROPN
ejpam-6923	302	23	of	of	ADP
ejpam-6923	302	24	technology	technology	PROPN
ejpam-6923	302	25	north	north	PROPN
ejpam-6923	302	26	bangkok	bangkok	PROPN
ejpam-6923	302	27	with	with	ADP
ejpam-6923	302	28	contract	contract	NOUN
ejpam-6923	302	29	no	no	INTJ
ejpam-6923	302	30	.	.	PUNCT
ejpam-6923	303	1	kmutnbff-68	kmutnbff-68	PROPN
ejpam-6923	303	2	-	-	PUNCT
ejpam-6923	303	3	b-46	b-46	PROPN
ejpam-6923	303	4	.	.	PUNCT
ejpam-6923	304	1	asma	asma	PROPN
ejpam-6923	304	2	et	et	PROPN
ejpam-6923	304	3	al	al	PROPN
ejpam-6923	304	4	.	.	PUNCT
ejpam-6923	304	5	/	/	SYM
ejpam-6923	304	6	eur	eur	PROPN
ejpam-6923	304	7	.	.	PUNCT
ejpam-6923	305	1	j.	j.	PROPN
ejpam-6923	305	2	pure	pure	PROPN
ejpam-6923	305	3	appl	appl	PROPN
ejpam-6923	305	4	.	.	PROPN
ejpam-6923	305	5	math	math	PROPN
ejpam-6923	305	6	,	,	PUNCT
ejpam-6923	305	7	18	18	NUM
ejpam-6923	305	8	(	(	PUNCT
ejpam-6923	305	9	4	4	NUM
ejpam-6923	305	10	)	)	PUNCT
ejpam-6923	305	11	(	(	PUNCT
ejpam-6923	305	12	2025	2025	NUM
ejpam-6923	305	13	)	)	PUNCT
ejpam-6923	305	14	,	,	PUNCT
ejpam-6923	305	15	6923	6923	NUM
ejpam-6923	305	16	21	21	NUM
ejpam-6923	305	17	of	of	ADP
ejpam-6923	305	18	22	22	NUM
ejpam-6923	305	19	acknowledgments	acknowledgment	NOUN
ejpam-6923	305	20	this	this	DET
ejpam-6923	305	21	research	research	NOUN
ejpam-6923	305	22	was	be	AUX
ejpam-6923	305	23	funded	fund	VERB
ejpam-6923	305	24	by	by	ADP
ejpam-6923	305	25	national	national	ADJ
ejpam-6923	305	26	science	science	NOUN
ejpam-6923	305	27	,	,	PUNCT
ejpam-6923	305	28	research	research	NOUN
ejpam-6923	305	29	and	and	CCONJ
ejpam-6923	305	30	innovation	innovation	NOUN
ejpam-6923	305	31	fund	fund	NOUN
ejpam-6923	305	32	(	(	PUNCT
ejpam-6923	305	33	nsrf	nsrf	NOUN
ejpam-6923	305	34	)	)	PUNCT
ejpam-6923	305	35	,	,	PUNCT
ejpam-6923	305	36	and	and	CCONJ
ejpam-6923	305	37	king	king	PROPN
ejpam-6923	305	38	mongkut	mongkut	PROPN
ejpam-6923	305	39	’s	’s	PROPN
ejpam-6923	305	40	university	university	PROPN
ejpam-6923	305	41	of	of	ADP
ejpam-6923	305	42	technology	technology	PROPN
ejpam-6923	305	43	north	north	PROPN
ejpam-6923	305	44	bangkok	bangkok	PROPN
ejpam-6923	305	45	with	with	ADP
ejpam-6923	305	46	contract	contract	NOUN
ejpam-6923	305	47	no	no	INTJ
ejpam-6923	305	48	.	.	PUNCT
ejpam-6923	306	1	kmutnbff-68	kmutnbff-68	PROPN
ejpam-6923	306	2	-	-	PUNCT
ejpam-6923	306	3	b-46	b-46	PROPN
ejpam-6923	306	4	.	.	PUNCT
ejpam-6923	307	1	data	datum	NOUN
ejpam-6923	307	2	availability	availability	NOUN
ejpam-6923	307	3	all	all	DET
ejpam-6923	307	4	data	datum	NOUN
ejpam-6923	307	5	is	be	AUX
ejpam-6923	307	6	included	include	VERB
ejpam-6923	307	7	in	in	ADP
ejpam-6923	307	8	the	the	DET
ejpam-6923	307	9	paper	paper	NOUN
ejpam-6923	307	10	.	.	PUNCT
ejpam-6923	308	1	references	reference	NOUN
ejpam-6923	308	2	[	[	X
ejpam-6923	308	3	1	1	NUM
ejpam-6923	308	4	]	]	PUNCT
ejpam-6923	308	5	a.	a.	NOUN
ejpam-6923	308	6	samreen	samreen	PROPN
ejpam-6923	308	7	,	,	PUNCT
ejpam-6923	308	8	d.	d.	PROPN
ejpam-6923	308	9	baleanu	baleanu	PROPN
ejpam-6923	308	10	,	,	PUNCT
ejpam-6923	308	11	s.	s.	PROPN
ejpam-6923	308	12	messaoudi	messaoudi	PROPN
ejpam-6923	308	13	,	,	PUNCT
ejpam-6923	308	14	s.	s.	PROPN
ejpam-6923	308	15	boulaaras	boulaaras	PROPN
ejpam-6923	308	16	,	,	PUNCT
ejpam-6923	308	17	s.	s.	PROPN
ejpam-6923	308	18	akram	akram	PROPN
ejpam-6923	308	19	,	,	PUNCT
ejpam-6923	308	20	and	and	CCONJ
ejpam-6923	308	21	m.	m.	NOUN
ejpam-6923	308	22	u.	u.	PROPN
ejpam-6923	308	23	rahman	rahman	PROPN
ejpam-6923	308	24	.	.	PUNCT
ejpam-6923	309	1	modeling	model	VERB
ejpam-6923	309	2	the	the	DET
ejpam-6923	309	3	dynamics	dynamic	NOUN
ejpam-6923	309	4	of	of	ADP
ejpam-6923	309	5	malaria	malaria	NOUN
ejpam-6923	309	6	with	with	ADP
ejpam-6923	309	7	infected	infected	ADJ
ejpam-6923	309	8	immigrants	immigrant	NOUN
ejpam-6923	309	9	using	use	VERB
ejpam-6923	309	10	fractal	fractal	ADJ
ejpam-6923	309	11	–	–	PUNCT
ejpam-6923	309	12	fractional	fractional	ADJ
ejpam-6923	309	13	techniques	technique	NOUN
ejpam-6923	309	14	with	with	ADP
ejpam-6923	309	15	deep	deep	ADJ
ejpam-6923	309	16	neural	neural	ADJ
ejpam-6923	309	17	networks	network	NOUN
ejpam-6923	309	18	.	.	PUNCT
ejpam-6923	310	1	asian	asian	ADJ
ejpam-6923	310	2	journal	journal	PROPN
ejpam-6923	310	3	of	of	ADP
ejpam-6923	310	4	control	control	NOUN
ejpam-6923	310	5	,	,	PUNCT
ejpam-6923	310	6	2025	2025	NUM
ejpam-6923	310	7	.	.	PUNCT
ejpam-6923	311	1	[	[	X
ejpam-6923	311	2	2	2	NUM
ejpam-6923	311	3	]	]	X
ejpam-6923	311	4	waseem	waseem	PROPN
ejpam-6923	311	5	,	,	PUNCT
ejpam-6923	311	6	s.	s.	PROPN
ejpam-6923	311	7	ali	ali	PROPN
ejpam-6923	311	8	,	,	PUNCT
ejpam-6923	311	9	and	and	CCONJ
ejpam-6923	311	10	m.	m.	NOUN
ejpam-6923	311	11	u.	u.	PROPN
ejpam-6923	311	12	rahman	rahman	PROPN
ejpam-6923	311	13	.	.	PUNCT
ejpam-6923	312	1	analysis	analysis	NOUN
ejpam-6923	312	2	of	of	ADP
ejpam-6923	312	3	ebola	ebola	PROPN
ejpam-6923	312	4	virus	virus	NOUN
ejpam-6923	312	5	model	model	NOUN
ejpam-6923	312	6	using	use	VERB
ejpam-6923	312	7	intelligent	intelligent	ADJ
ejpam-6923	312	8	computing	computing	NOUN
ejpam-6923	312	9	of	of	ADP
ejpam-6923	312	10	a	a	DET
ejpam-6923	312	11	new	new	ADJ
ejpam-6923	312	12	stochastic	stochastic	ADJ
ejpam-6923	312	13	neural	neural	ADJ
ejpam-6923	312	14	network	network	NOUN
ejpam-6923	312	15	.	.	PUNCT
ejpam-6923	313	1	international	international	ADJ
ejpam-6923	313	2	journal	journal	PROPN
ejpam-6923	313	3	of	of	ADP
ejpam-6923	313	4	biomathematics	biomathematic	NOUN
ejpam-6923	313	5	,	,	PUNCT
ejpam-6923	313	6	page	page	NOUN
ejpam-6923	313	7	2450162	2450162	NUM
ejpam-6923	313	8	,	,	PUNCT
ejpam-6923	313	9	2025	2025	NUM
ejpam-6923	313	10	.	.	PUNCT
ejpam-6923	314	1	[	[	X
ejpam-6923	314	2	3	3	X
ejpam-6923	314	3	]	]	X
ejpam-6923	314	4	s.	s.	PROPN
ejpam-6923	314	5	tabassum	tabassum	PROPN
ejpam-6923	314	6	and	and	CCONJ
ejpam-6923	314	7	m.	m.	PROPN
ejpam-6923	314	8	u.	u.	PROPN
ejpam-6923	314	9	rahman	rahman	PROPN
ejpam-6923	314	10	.	.	PUNCT
ejpam-6923	315	1	exploring	explore	VERB
ejpam-6923	315	2	corruption	corruption	NOUN
ejpam-6923	315	3	dynamics	dynamic	NOUN
ejpam-6923	315	4	through	through	ADP
ejpam-6923	315	5	caputo	caputo	PROPN
ejpam-6923	315	6	fractional	fractional	ADJ
ejpam-6923	315	7	models	model	NOUN
ejpam-6923	315	8	with	with	ADP
ejpam-6923	315	9	deep	deep	ADJ
ejpam-6923	315	10	neural	neural	ADJ
ejpam-6923	315	11	network	network	NOUN
ejpam-6923	315	12	interventions	intervention	NOUN
ejpam-6923	315	13	.	.	PUNCT
ejpam-6923	316	1	journal	journal	NOUN
ejpam-6923	316	2	of	of	ADP
ejpam-6923	316	3	applied	apply	VERB
ejpam-6923	316	4	mathematics	mathematic	NOUN
ejpam-6923	316	5	and	and	CCONJ
ejpam-6923	316	6	computing	computing	NOUN
ejpam-6923	316	7	,	,	PUNCT
ejpam-6923	316	8	71(2):2703–2726	71(2):2703–2726	NUM
ejpam-6923	316	9	,	,	PUNCT
ejpam-6923	316	10	2025	2025	NUM
ejpam-6923	316	11	.	.	PUNCT
ejpam-6923	317	1	[	[	X
ejpam-6923	317	2	4	4	NUM
ejpam-6923	317	3	]	]	PUNCT
ejpam-6923	317	4	mathematical	mathematical	ADJ
ejpam-6923	317	5	analysis	analysis	NOUN
ejpam-6923	317	6	of	of	ADP
ejpam-6923	317	7	neurological	neurological	ADJ
ejpam-6923	317	8	disorder	disorder	NOUN
ejpam-6923	317	9	under	under	ADP
ejpam-6923	317	10	fractional	fractional	ADJ
ejpam-6923	317	11	order	order	NOUN
ejpam-6923	317	12	derivative	derivative	NOUN
ejpam-6923	317	13	.	.	PUNCT
ejpam-6923	318	1	aims	aim	VERB
ejpam-6923	318	2	mathematics	mathematic	NOUN
ejpam-6923	318	3	,	,	PUNCT
ejpam-6923	318	4	8(8):18846–18865	8(8):18846–18865	PROPN
ejpam-6923	318	5	,	,	PUNCT
ejpam-6923	318	6	2023	2023	NUM
ejpam-6923	318	7	.	.	PUNCT
ejpam-6923	319	1	[	[	X
ejpam-6923	319	2	5	5	NUM
ejpam-6923	319	3	]	]	PUNCT
ejpam-6923	319	4	m.	m.	NOUN
ejpam-6923	319	5	khan	khan	PROPN
ejpam-6923	319	6	,	,	PUNCT
ejpam-6923	319	7	n.	n.	PROPN
ejpam-6923	319	8	khan	khan	PROPN
ejpam-6923	319	9	,	,	PUNCT
ejpam-6923	319	10	i.	i.	PROPN
ejpam-6923	319	11	ullah	ullah	PROPN
ejpam-6923	319	12	,	,	PUNCT
ejpam-6923	319	13	k.	k.	PROPN
ejpam-6923	319	14	shah	shah	PROPN
ejpam-6923	319	15	,	,	PUNCT
ejpam-6923	319	16	t.	t.	NOUN
ejpam-6923	319	17	abdeljawad	abdeljawad	NOUN
ejpam-6923	319	18	,	,	PUNCT
ejpam-6923	319	19	and	and	CCONJ
ejpam-6923	319	20	b.	b.	PROPN
ejpam-6923	319	21	abdalla	abdalla	PROPN
ejpam-6923	319	22	.	.	PUNCT
ejpam-6923	320	1	a	a	DET
ejpam-6923	320	2	novel	novel	ADJ
ejpam-6923	320	3	fractal	fractal	ADJ
ejpam-6923	320	4	fractional	fractional	ADJ
ejpam-6923	320	5	mathematical	mathematical	ADJ
ejpam-6923	320	6	model	model	NOUN
ejpam-6923	320	7	for	for	ADP
ejpam-6923	320	8	hiv	hiv	PROPN
ejpam-6923	320	9	/	/	SYM
ejpam-6923	320	10	aids	aids	PROPN
ejpam-6923	320	11	transmission	transmission	NOUN
ejpam-6923	320	12	stability	stability	NOUN
ejpam-6923	320	13	and	and	CCONJ
ejpam-6923	320	14	sensitivity	sensitivity	NOUN
ejpam-6923	320	15	with	with	ADP
ejpam-6923	320	16	numerical	numerical	ADJ
ejpam-6923	320	17	analysis	analysis	NOUN
ejpam-6923	320	18	.	.	PUNCT
ejpam-6923	321	1	scientific	scientific	ADJ
ejpam-6923	321	2	reports	report	NOUN
ejpam-6923	321	3	,	,	PUNCT
ejpam-6923	321	4	15(1):9291	15(1):9291	NUM
ejpam-6923	321	5	,	,	PUNCT
ejpam-6923	321	6	2025	2025	NUM
ejpam-6923	321	7	.	.	PUNCT
ejpam-6923	322	1	[	[	X
ejpam-6923	322	2	6	6	NUM
ejpam-6923	322	3	]	]	PUNCT
ejpam-6923	322	4	t.	t.	NOUN
ejpam-6923	322	5	abdeljawad	abdeljawad	PROPN
ejpam-6923	322	6	,	,	PUNCT
ejpam-6923	322	7	n.	n.	PROPN
ejpam-6923	322	8	khan	khan	PROPN
ejpam-6923	322	9	,	,	PUNCT
ejpam-6923	322	10	b.	b.	PROPN
ejpam-6923	322	11	abdalla	abdalla	PROPN
ejpam-6923	322	12	,	,	PUNCT
ejpam-6923	322	13	a.	a.	NOUN
ejpam-6923	322	14	a.	a.	NOUN
ejpam-6923	322	15	jaser	jaser	PROPN
ejpam-6923	322	16	,	,	PUNCT
ejpam-6923	322	17	m.	m.	NOUN
ejpam-6923	322	18	alqudah	alqudah	PROPN
ejpam-6923	322	19	,	,	PUNCT
ejpam-6923	322	20	and	and	CCONJ
ejpam-6923	322	21	k.	k.	PROPN
ejpam-6923	322	22	shah	shah	PROPN
ejpam-6923	322	23	.	.	PUNCT
ejpam-6923	323	1	a	a	DET
ejpam-6923	323	2	mathematical	mathematical	ADJ
ejpam-6923	323	3	analysis	analysis	NOUN
ejpam-6923	323	4	of	of	ADP
ejpam-6923	323	5	human	human	ADJ
ejpam-6923	323	6	papilloma	papilloma	NOUN
ejpam-6923	323	7	virus	virus	NOUN
ejpam-6923	323	8	(	(	PUNCT
ejpam-6923	323	9	hpv	hpv	NOUN
ejpam-6923	323	10	)	)	PUNCT
ejpam-6923	323	11	disease	disease	NOUN
ejpam-6923	323	12	with	with	ADP
ejpam-6923	323	13	new	new	ADJ
ejpam-6923	323	14	perspectives	perspective	NOUN
ejpam-6923	323	15	of	of	ADP
ejpam-6923	323	16	fractional	fractional	ADJ
ejpam-6923	323	17	calculus	calculus	NOUN
ejpam-6923	323	18	.	.	PUNCT
ejpam-6923	324	1	alexandria	alexandria	PROPN
ejpam-6923	324	2	engineering	engineering	PROPN
ejpam-6923	324	3	journal	journal	PROPN
ejpam-6923	324	4	,	,	PUNCT
ejpam-6923	324	5	125:575–599	125:575–599	NUM
ejpam-6923	324	6	,	,	PUNCT
ejpam-6923	324	7	2025	2025	NUM
ejpam-6923	324	8	.	.	PUNCT
ejpam-6923	325	1	[	[	X
ejpam-6923	325	2	7	7	X
ejpam-6923	325	3	]	]	X
ejpam-6923	325	4	p.	p.	NOUN
ejpam-6923	325	5	l.	l.	PROPN
ejpam-6923	326	1	urban	urban	PROPN
ejpam-6923	326	2	,	,	PUNCT
ejpam-6923	326	3	d.	d.	PROPN
ejpam-6923	326	4	m.	m.	PROPN
ejpam-6923	326	5	goodall	goodall	PROPN
ejpam-6923	326	6	,	,	PUNCT
ejpam-6923	326	7	and	and	CCONJ
ejpam-6923	326	8	n.	n.	PROPN
ejpam-6923	326	9	c.	c.	PROPN
ejpam-6923	326	10	bruce	bruce	PROPN
ejpam-6923	326	11	.	.	PUNCT
ejpam-6923	327	1	enzymatic	enzymatic	ADJ
ejpam-6923	327	2	microreactors	microreactor	NOUN
ejpam-6923	327	3	in	in	ADP
ejpam-6923	327	4	chemical	chemical	ADJ
ejpam-6923	327	5	analysis	analysis	NOUN
ejpam-6923	327	6	and	and	CCONJ
ejpam-6923	327	7	kinetic	kinetic	ADJ
ejpam-6923	327	8	studies	study	NOUN
ejpam-6923	327	9	.	.	PUNCT
ejpam-6923	328	1	biotechnology	biotechnology	NOUN
ejpam-6923	328	2	advances	advance	NOUN
ejpam-6923	328	3	,	,	PUNCT
ejpam-6923	328	4	24(1):42–57	24(1):42–57	NUM
ejpam-6923	328	5	,	,	PUNCT
ejpam-6923	328	6	2006	2006	NUM
ejpam-6923	328	7	.	.	PUNCT
ejpam-6923	329	1	[	[	X
ejpam-6923	329	2	8	8	NUM
ejpam-6923	329	3	]	]	PUNCT
ejpam-6923	329	4	m.	m.	NOUN
ejpam-6923	329	5	n.	n.	PROPN
ejpam-6923	329	6	gupta	gupta	PROPN
ejpam-6923	329	7	.	.	PUNCT
ejpam-6923	330	1	some	some	DET
ejpam-6923	330	2	key	key	ADJ
ejpam-6923	330	3	topics	topic	NOUN
ejpam-6923	330	4	in	in	ADP
ejpam-6923	330	5	chemistry	chemistry	NOUN
ejpam-6923	330	6	and	and	CCONJ
ejpam-6923	330	7	biochemistry	biochemistry	NOUN
ejpam-6923	330	8	for	for	ADP
ejpam-6923	330	9	biotechnologists	biotechnologist	NOUN
ejpam-6923	330	10	.	.	PUNCT
ejpam-6923	331	1	crc	crc	PROPN
ejpam-6923	331	2	press	press	PROPN
ejpam-6923	331	3	,	,	PUNCT
ejpam-6923	331	4	2023	2023	NUM
ejpam-6923	331	5	.	.	PUNCT
ejpam-6923	332	1	[	[	X
ejpam-6923	332	2	9	9	NUM
ejpam-6923	332	3	]	]	PUNCT
ejpam-6923	332	4	v.	v.	ADP
ejpam-6923	332	5	leskovac	leskovac	PROPN
ejpam-6923	332	6	.	.	PUNCT
ejpam-6923	333	1	comprehensive	comprehensive	ADJ
ejpam-6923	333	2	enzyme	enzyme	NOUN
ejpam-6923	333	3	kinetics	kinetic	NOUN
ejpam-6923	333	4	.	.	PUNCT
ejpam-6923	334	1	springer	springer	NOUN
ejpam-6923	334	2	science	science	PROPN
ejpam-6923	334	3	&	&	CCONJ
ejpam-6923	334	4	business	business	NOUN
ejpam-6923	334	5	media	medium	NOUN
ejpam-6923	334	6	,	,	PUNCT
ejpam-6923	334	7	2007	2007	NUM
ejpam-6923	334	8	.	.	PUNCT
ejpam-6923	335	1	[	[	X
ejpam-6923	335	2	10	10	NUM
ejpam-6923	335	3	]	]	X
ejpam-6923	336	1	y.	y.	PROPN
ejpam-6923	336	2	h.	h.	PROPN
ejpam-6923	336	3	p.	p.	PROPN
ejpam-6923	336	4	zhang	zhang	PROPN
ejpam-6923	336	5	and	and	CCONJ
ejpam-6923	336	6	l.	l.	PROPN
ejpam-6923	336	7	r.	r.	PROPN
ejpam-6923	336	8	lynd	lynd	PROPN
ejpam-6923	336	9	.	.	PUNCT
ejpam-6923	337	1	toward	toward	ADP
ejpam-6923	337	2	an	an	DET
ejpam-6923	337	3	aggregated	aggregate	VERB
ejpam-6923	337	4	understanding	understanding	NOUN
ejpam-6923	337	5	of	of	ADP
ejpam-6923	337	6	enzymatic	enzymatic	ADJ
ejpam-6923	337	7	hydrolysis	hydrolysis	NOUN
ejpam-6923	337	8	of	of	ADP
ejpam-6923	337	9	cellulose	cellulose	NOUN
ejpam-6923	337	10	:	:	PUNCT
ejpam-6923	337	11	noncomplexed	noncomplexe	VERB
ejpam-6923	337	12	cellulase	cellulase	NOUN
ejpam-6923	337	13	systems	system	NOUN
ejpam-6923	337	14	.	.	PUNCT
ejpam-6923	338	1	biotechnology	biotechnology	NOUN
ejpam-6923	338	2	and	and	CCONJ
ejpam-6923	338	3	bioengineering	bioengineering	NOUN
ejpam-6923	338	4	,	,	PUNCT
ejpam-6923	338	5	88(7):797–824	88(7):797–824	NOUN
ejpam-6923	338	6	,	,	PUNCT
ejpam-6923	338	7	2004	2004	NUM
ejpam-6923	338	8	.	.	PUNCT
ejpam-6923	339	1	[	[	X
ejpam-6923	339	2	11	11	NUM
ejpam-6923	339	3	]	]	PUNCT
ejpam-6923	339	4	a.	a.	NOUN
ejpam-6923	339	5	atangana	atangana	PROPN
ejpam-6923	339	6	.	.	PUNCT
ejpam-6923	340	1	new	new	ADJ
ejpam-6923	340	2	insight	insight	NOUN
ejpam-6923	340	3	kinetic	kinetic	NOUN
ejpam-6923	340	4	modeling	modeling	NOUN
ejpam-6923	340	5	:	:	PUNCT
ejpam-6923	340	6	models	model	NOUN
ejpam-6923	340	7	above	above	ADP
ejpam-6923	340	8	classical	classical	ADJ
ejpam-6923	340	9	chemical	chemical	NOUN
ejpam-6923	340	10	mechanic	mechanic	NOUN
ejpam-6923	340	11	.	.	PUNCT
ejpam-6923	341	1	chaos	chaos	NOUN
ejpam-6923	341	2	,	,	PUNCT
ejpam-6923	341	3	solitons	soliton	NOUN
ejpam-6923	341	4	&	&	CCONJ
ejpam-6923	341	5	fractals	fractal	NOUN
ejpam-6923	341	6	,	,	PUNCT
ejpam-6923	341	7	128:16–24	128:16–24	NUM
ejpam-6923	341	8	,	,	PUNCT
ejpam-6923	341	9	2019	2019	NUM
ejpam-6923	341	10	.	.	PUNCT
ejpam-6923	342	1	[	[	X
ejpam-6923	342	2	12	12	NUM
ejpam-6923	342	3	]	]	PUNCT
ejpam-6923	342	4	i.	i.	NOUN
ejpam-6923	342	5	podlubny	podlubny	PROPN
ejpam-6923	342	6	.	.	PUNCT
ejpam-6923	343	1	fractional	fractional	ADJ
ejpam-6923	343	2	differential	differential	ADJ
ejpam-6923	343	3	equations	equation	NOUN
ejpam-6923	343	4	:	:	PUNCT
ejpam-6923	343	5	an	an	DET
ejpam-6923	343	6	introduction	introduction	NOUN
ejpam-6923	343	7	to	to	ADP
ejpam-6923	343	8	fractional	fractional	ADJ
ejpam-6923	343	9	derivatives	derivative	NOUN
ejpam-6923	343	10	,	,	PUNCT
ejpam-6923	343	11	fractional	fractional	ADJ
ejpam-6923	343	12	differential	differential	ADJ
ejpam-6923	343	13	equations	equation	NOUN
ejpam-6923	343	14	,	,	PUNCT
ejpam-6923	343	15	to	to	ADP
ejpam-6923	343	16	methods	method	NOUN
ejpam-6923	343	17	of	of	ADP
ejpam-6923	343	18	their	their	PRON
ejpam-6923	343	19	solution	solution	NOUN
ejpam-6923	343	20	and	and	CCONJ
ejpam-6923	343	21	some	some	PRON
ejpam-6923	343	22	of	of	ADP
ejpam-6923	343	23	their	their	PRON
ejpam-6923	343	24	applications	application	NOUN
ejpam-6923	343	25	.	.	PUNCT
ejpam-6923	344	1	elsevier	elsevier	NOUN
ejpam-6923	344	2	,	,	PUNCT
ejpam-6923	344	3	1998	1998	NUM
ejpam-6923	344	4	.	.	PUNCT
ejpam-6923	345	1	asma	asma	PROPN
ejpam-6923	345	2	et	et	PROPN
ejpam-6923	345	3	al	al	PROPN
ejpam-6923	345	4	.	.	PUNCT
ejpam-6923	345	5	/	/	SYM
ejpam-6923	345	6	eur	eur	PROPN
ejpam-6923	345	7	.	.	PUNCT
ejpam-6923	346	1	j.	j.	PROPN
ejpam-6923	346	2	pure	pure	PROPN
ejpam-6923	346	3	appl	appl	PROPN
ejpam-6923	346	4	.	.	PROPN
ejpam-6923	346	5	math	math	PROPN
ejpam-6923	346	6	,	,	PUNCT
ejpam-6923	346	7	18	18	NUM
ejpam-6923	346	8	(	(	PUNCT
ejpam-6923	346	9	4	4	NUM
ejpam-6923	346	10	)	)	PUNCT
ejpam-6923	346	11	(	(	PUNCT
ejpam-6923	346	12	2025	2025	NUM
ejpam-6923	346	13	)	)	PUNCT
ejpam-6923	346	14	,	,	PUNCT
ejpam-6923	346	15	6923	6923	NUM
ejpam-6923	346	16	22	22	NUM
ejpam-6923	346	17	of	of	ADP
ejpam-6923	346	18	22	22	NUM
ejpam-6923	346	19	[	[	X
ejpam-6923	346	20	13	13	NUM
ejpam-6923	346	21	]	]	SYM
ejpam-6923	346	22	i.	i.	PROPN
ejpam-6923	346	23	ahmad	ahmad	PROPN
ejpam-6923	346	24	,	,	PUNCT
ejpam-6923	346	25	h.	h.	PROPN
ejpam-6923	346	26	alrabaiah	alrabaiah	PROPN
ejpam-6923	346	27	,	,	PUNCT
ejpam-6923	346	28	k.	k.	PROPN
ejpam-6923	346	29	shah	shah	PROPN
ejpam-6923	346	30	,	,	PUNCT
ejpam-6923	346	31	j.	j.	PROPN
ejpam-6923	346	32	j.	j.	PROPN
ejpam-6923	346	33	nieto	nieto	PROPN
ejpam-6923	346	34	,	,	PUNCT
ejpam-6923	346	35	i.	i.	PROPN
ejpam-6923	346	36	mahariq	mahariq	PROPN
ejpam-6923	346	37	,	,	PUNCT
ejpam-6923	346	38	and	and	CCONJ
ejpam-6923	346	39	g.	g.	PROPN
ejpam-6923	346	40	u.	u.	PROPN
ejpam-6923	346	41	rahman	rahman	PROPN
ejpam-6923	346	42	.	.	PUNCT
ejpam-6923	347	1	on	on	ADP
ejpam-6923	347	2	coupled	couple	VERB
ejpam-6923	347	3	nonlinear	nonlinear	ADJ
ejpam-6923	347	4	evolution	evolution	NOUN
ejpam-6923	347	5	system	system	NOUN
ejpam-6923	347	6	of	of	ADP
ejpam-6923	347	7	fractional	fractional	ADJ
ejpam-6923	347	8	order	order	NOUN
ejpam-6923	347	9	with	with	ADP
ejpam-6923	347	10	a	a	DET
ejpam-6923	347	11	proportional	proportional	ADJ
ejpam-6923	347	12	delay	delay	NOUN
ejpam-6923	347	13	.	.	PUNCT
ejpam-6923	348	1	mathematical	mathematical	ADJ
ejpam-6923	348	2	methods	method	NOUN
ejpam-6923	348	3	in	in	ADP
ejpam-6923	348	4	the	the	DET
ejpam-6923	348	5	applied	apply	VERB
ejpam-6923	348	6	sciences	science	NOUN
ejpam-6923	348	7	,	,	PUNCT
ejpam-6923	348	8	46(7):8126–8138	46(7):8126–8138	NUM
ejpam-6923	348	9	,	,	PUNCT
ejpam-6923	348	10	2023	2023	NUM
ejpam-6923	348	11	.	.	PUNCT
ejpam-6923	349	1	[	[	X
ejpam-6923	349	2	14	14	NUM
ejpam-6923	349	3	]	]	X
ejpam-6923	349	4	m.	m.	PROPN
ejpam-6923	349	5	khan	khan	PROPN
ejpam-6923	349	6	,	,	PUNCT
ejpam-6923	349	7	i.	i.	PROPN
ejpam-6923	349	8	ullah	ullah	PROPN
ejpam-6923	349	9	,	,	PUNCT
ejpam-6923	349	10	n.	n.	PROPN
ejpam-6923	349	11	khan	khan	PROPN
ejpam-6923	349	12	,	,	PUNCT
ejpam-6923	349	13	s.	s.	PROPN
ejpam-6923	349	14	hussain	hussain	PROPN
ejpam-6923	349	15	,	,	PUNCT
ejpam-6923	349	16	and	and	CCONJ
ejpam-6923	349	17	m.	m.	PROPN
ejpam-6923	349	18	i.	i.	PROPN
ejpam-6923	349	19	l.	l.	PROPN
ejpam-6923	349	20	khattak	khattak	PROPN
ejpam-6923	349	21	.	.	PUNCT
ejpam-6923	350	1	adpnet	adpnet	PROPN
ejpam-6923	350	2	:	:	PUNCT
ejpam-6923	351	1	attentiondriven	attentiondriven	VERB
ejpam-6923	351	2	dual	dual	ADJ
ejpam-6923	351	3	-	-	PUNCT
ejpam-6923	351	4	path	path	NOUN
ejpam-6923	351	5	network	network	NOUN
ejpam-6923	351	6	for	for	ADP
ejpam-6923	351	7	automated	automate	VERB
ejpam-6923	351	8	polyp	polyp	NOUN
ejpam-6923	351	9	segmentation	segmentation	NOUN
ejpam-6923	351	10	in	in	ADP
ejpam-6923	351	11	colonoscopy	colonoscopy	NOUN
ejpam-6923	351	12	.	.	PUNCT
ejpam-6923	352	1	image	image	NOUN
ejpam-6923	352	2	and	and	CCONJ
ejpam-6923	352	3	vision	vision	NOUN
ejpam-6923	352	4	computing	computing	NOUN
ejpam-6923	352	5	,	,	PUNCT
ejpam-6923	352	6	page	page	NOUN
ejpam-6923	352	7	105648	105648	NUM
ejpam-6923	352	8	,	,	PUNCT
ejpam-6923	352	9	2025	2025	NUM
ejpam-6923	352	10	.	.	PUNCT
ejpam-6923	353	1	[	[	X
ejpam-6923	353	2	15	15	NUM
ejpam-6923	353	3	]	]	X
ejpam-6923	353	4	a.	a.	NOUN
ejpam-6923	353	5	atangana	atangana	PROPN
ejpam-6923	353	6	and	and	CCONJ
ejpam-6923	353	7	d.	d.	PROPN
ejpam-6923	353	8	baleanu	baleanu	PROPN
ejpam-6923	353	9	.	.	PUNCT
ejpam-6923	354	1	new	new	ADJ
ejpam-6923	354	2	fractional	fractional	ADJ
ejpam-6923	354	3	derivatives	derivative	NOUN
ejpam-6923	354	4	with	with	ADP
ejpam-6923	354	5	nonlocal	nonlocal	ADJ
ejpam-6923	354	6	and	and	CCONJ
ejpam-6923	354	7	nonsingular	nonsingular	ADJ
ejpam-6923	354	8	kernel	kernel	PROPN
ejpam-6923	354	9	:	:	PUNCT
ejpam-6923	354	10	theory	theory	NOUN
ejpam-6923	354	11	and	and	CCONJ
ejpam-6923	354	12	application	application	NOUN
ejpam-6923	354	13	to	to	PART
ejpam-6923	354	14	heat	heat	NOUN
ejpam-6923	354	15	transfer	transfer	NOUN
ejpam-6923	354	16	model	model	NOUN
ejpam-6923	354	17	.	.	PUNCT
ejpam-6923	355	1	arxiv	arxiv	PROPN
ejpam-6923	355	2	preprint	preprint	PROPN
ejpam-6923	355	3	,	,	PUNCT
ejpam-6923	355	4	2016	2016	NUM
ejpam-6923	355	5	.	.	PUNCT
ejpam-6923	356	1	[	[	X
ejpam-6923	356	2	16	16	X
ejpam-6923	356	3	]	]	X
ejpam-6923	356	4	y.	y.	PROPN
ejpam-6923	356	5	mehmet	mehmet	PROPN
ejpam-6923	356	6	and	and	CCONJ
ejpam-6923	356	7	t.	t.	PROPN
ejpam-6923	356	8	abdeljawad	abdeljawad	NOUN
ejpam-6923	356	9	.	.	PUNCT
ejpam-6923	357	1	on	on	ADP
ejpam-6923	357	2	a	a	DET
ejpam-6923	357	3	new	new	ADJ
ejpam-6923	357	4	integral	integral	ADJ
ejpam-6923	357	5	transformation	transformation	NOUN
ejpam-6923	357	6	applied	apply	VERB
ejpam-6923	357	7	to	to	ADP
ejpam-6923	357	8	fractional	fractional	ADJ
ejpam-6923	357	9	derivative	derivative	NOUN
ejpam-6923	357	10	with	with	ADP
ejpam-6923	357	11	mittag	mittag	ADJ
ejpam-6923	357	12	-	-	PUNCT
ejpam-6923	357	13	leffler	leffler	NOUN
ejpam-6923	357	14	nonsingular	nonsingular	ADJ
ejpam-6923	357	15	kernel	kernel	PROPN
ejpam-6923	357	16	.	.	PUNCT
ejpam-6923	358	1	electronic	electronic	ADJ
ejpam-6923	358	2	research	research	NOUN
ejpam-6923	358	3	archive	archive	NOUN
ejpam-6923	358	4	,	,	PUNCT
ejpam-6923	358	5	28(1):481–495	28(1):481–495	NUM
ejpam-6923	358	6	,	,	PUNCT
ejpam-6923	358	7	2020	2020	NUM
ejpam-6923	358	8	.	.	PUNCT
ejpam-6923	359	1	[	[	X
ejpam-6923	359	2	17	17	NUM
ejpam-6923	359	3	]	]	PUNCT
ejpam-6923	359	4	s.	s.	PROPN
ejpam-6923	359	5	jain	jain	PROPN
ejpam-6923	359	6	and	and	CCONJ
ejpam-6923	359	7	a.	a.	PROPN
ejpam-6923	359	8	atangana	atangana	PROPN
ejpam-6923	359	9	.	.	PUNCT
ejpam-6923	360	1	analysis	analysis	NOUN
ejpam-6923	360	2	of	of	ADP
ejpam-6923	360	3	lassa	lassa	PROPN
ejpam-6923	360	4	hemorrhagic	hemorrhagic	NOUN
ejpam-6923	360	5	fever	fever	NOUN
ejpam-6923	360	6	model	model	NOUN
ejpam-6923	360	7	with	with	ADP
ejpam-6923	360	8	non	non	ADJ
ejpam-6923	360	9	-	-	ADJ
ejpam-6923	360	10	local	local	ADJ
ejpam-6923	360	11	and	and	CCONJ
ejpam-6923	360	12	non	non	ADJ
ejpam-6923	360	13	-	-	ADJ
ejpam-6923	360	14	singular	singular	ADJ
ejpam-6923	360	15	fractional	fractional	ADJ
ejpam-6923	360	16	derivatives	derivative	NOUN
ejpam-6923	360	17	.	.	PUNCT
ejpam-6923	361	1	international	international	ADJ
ejpam-6923	361	2	journal	journal	NOUN
ejpam-6923	361	3	of	of	ADP
ejpam-6923	361	4	biomathematics	biomathematic	NOUN
ejpam-6923	361	5	,	,	PUNCT
ejpam-6923	361	6	11(08):1850100	11(08):1850100	NUM
ejpam-6923	361	7	,	,	PUNCT
ejpam-6923	361	8	2018	2018	NUM
ejpam-6923	361	9	.	.	PUNCT
ejpam-6923	362	1	[	[	X
ejpam-6923	362	2	18	18	NUM
ejpam-6923	362	3	]	]	PUNCT
ejpam-6923	362	4	a.	a.	NOUN
ejpam-6923	362	5	saleem	saleem	PROPN
ejpam-6923	362	6	,	,	PUNCT
ejpam-6923	362	7	m.	m.	PROPN
ejpam-6923	362	8	u.	u.	PROPN
ejpam-6923	362	9	rahman	rahman	PROPN
ejpam-6923	362	10	,	,	PUNCT
ejpam-6923	362	11	s.	s.	PROPN
ejpam-6923	362	12	boulaaras	boulaaras	PROPN
ejpam-6923	362	13	,	,	PUNCT
ejpam-6923	362	14	r.	r.	PROPN
ejpam-6923	362	15	guefaifia	guefaifia	PROPN
ejpam-6923	362	16	,	,	PUNCT
ejpam-6923	362	17	and	and	CCONJ
ejpam-6923	362	18	d.	d.	PROPN
ejpam-6923	362	19	baleanu	baleanu	PROPN
ejpam-6923	362	20	.	.	PUNCT
ejpam-6923	363	1	exploring	explore	VERB
ejpam-6923	363	2	the	the	DET
ejpam-6923	363	3	dynamics	dynamic	NOUN
ejpam-6923	363	4	of	of	ADP
ejpam-6923	363	5	hiv	hiv	PROPN
ejpam-6923	363	6	and	and	CCONJ
ejpam-6923	363	7	hcv	hcv	VERB
ejpam-6923	363	8	co	co	NOUN
ejpam-6923	363	9	-	-	NOUN
ejpam-6923	363	10	infection	infection	NOUN
ejpam-6923	363	11	through	through	ADP
ejpam-6923	363	12	piecewise	piecewise	NOUN
ejpam-6923	363	13	modified	modify	VERB
ejpam-6923	363	14	mittag	mittag	ADJ
ejpam-6923	363	15	-	-	PUNCT
ejpam-6923	363	16	leffler	leffler	NOUN
ejpam-6923	363	17	fractional	fractional	ADJ
ejpam-6923	363	18	derivatives	derivative	NOUN
ejpam-6923	363	19	.	.	PUNCT
ejpam-6923	364	1	applied	apply	VERB
ejpam-6923	364	2	mathematics	mathematic	NOUN
ejpam-6923	364	3	in	in	ADP
ejpam-6923	364	4	science	science	NOUN
ejpam-6923	364	5	and	and	CCONJ
ejpam-6923	364	6	engineering	engineering	NOUN
ejpam-6923	364	7	,	,	PUNCT
ejpam-6923	364	8	33(1):2478038	33(1):2478038	NUM
ejpam-6923	364	9	,	,	PUNCT
ejpam-6923	364	10	2025	2025	NUM
ejpam-6923	364	11	.	.	PUNCT
ejpam-6923	365	1	[	[	X
ejpam-6923	365	2	19	19	NUM
ejpam-6923	365	3	]	]	X
ejpam-6923	365	4	i.	i.	PROPN
ejpam-6923	365	5	ahmad	ahmad	PROPN
ejpam-6923	365	6	,	,	PUNCT
ejpam-6923	365	7	k.	k.	PROPN
ejpam-6923	365	8	j.	j.	PROPN
ejpam-6923	365	9	ansari	ansari	PROPN
ejpam-6923	365	10	,	,	PUNCT
ejpam-6923	365	11	h.	h.	PROPN
ejpam-6923	365	12	alrabaiah	alrabaiah	PROPN
ejpam-6923	365	13	,	,	PUNCT
ejpam-6923	365	14	d.	d.	PROPN
ejpam-6923	365	15	santina	santina	PROPN
ejpam-6923	365	16	,	,	PUNCT
ejpam-6923	365	17	and	and	CCONJ
ejpam-6923	365	18	n.	n.	PROPN
ejpam-6923	365	19	mlaiki	mlaiki	PROPN
ejpam-6923	365	20	.	.	PUNCT
ejpam-6923	366	1	study	study	NOUN
ejpam-6923	366	2	of	of	ADP
ejpam-6923	366	3	1	1	NUM
ejpam-6923	366	4	+	+	SYM
ejpam-6923	366	5	1	1	NUM
ejpam-6923	366	6	dimensional	dimensional	ADJ
ejpam-6923	366	7	fractional	fractional	ADJ
ejpam-6923	366	8	order	order	NOUN
ejpam-6923	366	9	non	non	ADJ
ejpam-6923	366	10	-	-	ADJ
ejpam-6923	366	11	linear	linear	ADJ
ejpam-6923	366	12	benney	benney	NOUN
ejpam-6923	366	13	equation	equation	NOUN
ejpam-6923	366	14	using	use	VERB
ejpam-6923	366	15	an	an	DET
ejpam-6923	366	16	analytical	analytical	ADJ
ejpam-6923	366	17	technique	technique	NOUN
ejpam-6923	366	18	.	.	PUNCT
ejpam-6923	367	1	partial	partial	ADJ
ejpam-6923	367	2	differential	differential	ADJ
ejpam-6923	367	3	equations	equation	NOUN
ejpam-6923	367	4	in	in	ADP
ejpam-6923	367	5	applied	applied	ADJ
ejpam-6923	367	6	mathematics	mathematic	NOUN
ejpam-6923	367	7	,	,	PUNCT
ejpam-6923	367	8	11:100823	11:100823	NUM
ejpam-6923	367	9	,	,	PUNCT
ejpam-6923	367	10	2024	2024	NUM
ejpam-6923	367	11	.	.	PUNCT
ejpam-6923	368	1	[	[	X
ejpam-6923	368	2	20	20	NUM
ejpam-6923	368	3	]	]	PUNCT
ejpam-6923	368	4	j.	j.	PROPN
ejpam-6923	368	5	d.	d.	PROPN
ejpam-6923	368	6	murray	murray	PROPN
ejpam-6923	368	7	.	.	PUNCT
ejpam-6923	369	1	mathematical	mathematical	ADJ
ejpam-6923	369	2	biology	biology	NOUN
ejpam-6923	369	3	:	:	PUNCT
ejpam-6923	369	4	i.	i.	NOUN
ejpam-6923	369	5	an	an	DET
ejpam-6923	369	6	introduction	introduction	NOUN
ejpam-6923	369	7	,	,	PUNCT
ejpam-6923	369	8	volume	volume	NOUN
ejpam-6923	369	9	17	17	NUM
ejpam-6923	369	10	.	.	PUNCT
ejpam-6923	370	1	springer	springer	PROPN
ejpam-6923	370	2	science	science	PROPN
ejpam-6923	370	3	&	&	CCONJ
ejpam-6923	370	4	business	business	NOUN
ejpam-6923	370	5	media	medium	NOUN
ejpam-6923	370	6	,	,	PUNCT
ejpam-6923	370	7	2007	2007	NUM
ejpam-6923	370	8	.	.	PUNCT
ejpam-6923	371	1	[	[	X
ejpam-6923	371	2	21	21	NUM
ejpam-6923	371	3	]	]	X
ejpam-6923	371	4	r.	r.	PROPN
ejpam-6923	371	5	gul	gul	PROPN
ejpam-6923	371	6	,	,	PUNCT
ejpam-6923	371	7	k.	k.	PROPN
ejpam-6923	371	8	shah	shah	PROPN
ejpam-6923	371	9	,	,	PUNCT
ejpam-6923	371	10	z.	z.	PROPN
ejpam-6923	371	11	a.	a.	PROPN
ejpam-6923	371	12	khan	khan	PROPN
ejpam-6923	371	13	,	,	PUNCT
ejpam-6923	371	14	and	and	CCONJ
ejpam-6923	371	15	f.	f.	PROPN
ejpam-6923	371	16	jarad	jarad	PROPN
ejpam-6923	371	17	.	.	PUNCT
ejpam-6923	372	1	on	on	ADP
ejpam-6923	372	2	a	a	DET
ejpam-6923	372	3	class	class	NOUN
ejpam-6923	372	4	of	of	ADP
ejpam-6923	372	5	boundary	boundary	ADJ
ejpam-6923	372	6	value	value	NOUN
ejpam-6923	372	7	problems	problem	NOUN
ejpam-6923	372	8	under	under	ADP
ejpam-6923	372	9	abc	abc	PROPN
ejpam-6923	372	10	fractional	fractional	PROPN
ejpam-6923	372	11	derivative	derivative	PROPN
ejpam-6923	372	12	.	.	PUNCT
ejpam-6923	373	1	advances	advance	NOUN
ejpam-6923	373	2	in	in	ADP
ejpam-6923	373	3	difference	difference	NOUN
ejpam-6923	373	4	equations	equation	NOUN
ejpam-6923	373	5	,	,	PUNCT
ejpam-6923	373	6	2021:1–12	2021:1–12	NUM
ejpam-6923	373	7	,	,	PUNCT
ejpam-6923	373	8	2021	2021	NUM
ejpam-6923	373	9	.	.	PUNCT
ejpam-6923	374	1	[	[	X
ejpam-6923	374	2	22	22	NUM
ejpam-6923	374	3	]	]	X
ejpam-6923	374	4	i.	i.	PROPN
ejpam-6923	374	5	ahmad	ahmad	PROPN
ejpam-6923	374	6	,	,	PUNCT
ejpam-6923	374	7	z.	z.	PROPN
ejpam-6923	374	8	ali	ali	PROPN
ejpam-6923	374	9	,	,	PUNCT
ejpam-6923	374	10	b.	b.	PROPN
ejpam-6923	374	11	khan	khan	PROPN
ejpam-6923	374	12	,	,	PUNCT
ejpam-6923	374	13	k.	k.	PROPN
ejpam-6923	374	14	shah	shah	PROPN
ejpam-6923	374	15	,	,	PUNCT
ejpam-6923	374	16	and	and	CCONJ
ejpam-6923	374	17	t.	t.	PROPN
ejpam-6923	374	18	abdeljawad	abdeljawad	NOUN
ejpam-6923	374	19	.	.	PUNCT
ejpam-6923	375	1	exploring	explore	VERB
ejpam-6923	375	2	the	the	DET
ejpam-6923	375	3	dynamics	dynamic	NOUN
ejpam-6923	375	4	of	of	ADP
ejpam-6923	375	5	gumboro	gumboro	NOUN
ejpam-6923	375	6	-	-	PUNCT
ejpam-6923	375	7	salmonella	salmonella	NOUN
ejpam-6923	375	8	co	co	NOUN
ejpam-6923	375	9	-	-	NOUN
ejpam-6923	375	10	infection	infection	NOUN
ejpam-6923	375	11	with	with	ADP
ejpam-6923	375	12	fractal	fractal	ADJ
ejpam-6923	375	13	fractional	fractional	ADJ
ejpam-6923	375	14	analysis	analysis	NOUN
ejpam-6923	375	15	.	.	PUNCT
ejpam-6923	376	1	alexandria	alexandria	PROPN
ejpam-6923	376	2	engineering	engineering	PROPN
ejpam-6923	376	3	journal	journal	PROPN
ejpam-6923	376	4	,	,	PUNCT
ejpam-6923	376	5	117:472–489	117:472–489	NUM
ejpam-6923	376	6	,	,	PUNCT
ejpam-6923	376	7	2025	2025	NUM
ejpam-6923	376	8	.	.	PUNCT
ejpam-6923	377	1	[	[	X
ejpam-6923	377	2	23	23	NUM
ejpam-6923	377	3	]	]	PUNCT
ejpam-6923	377	4	b.	b.	PROPN
ejpam-6923	377	5	radhakrishnan	radhakrishnan	PROPN
ejpam-6923	377	6	,	,	PUNCT
ejpam-6923	377	7	p.	p.	PROPN
ejpam-6923	377	8	chandru	chandru	PROPN
ejpam-6923	377	9	,	,	PUNCT
ejpam-6923	377	10	and	and	CCONJ
ejpam-6923	377	11	j.	j.	PROPN
ejpam-6923	377	12	j.	j.	PROPN
ejpam-6923	377	13	nieto	nieto	PROPN
ejpam-6923	377	14	.	.	PUNCT
ejpam-6923	378	1	a	a	DET
ejpam-6923	378	2	study	study	NOUN
ejpam-6923	378	3	of	of	ADP
ejpam-6923	378	4	nonlinear	nonlinear	ADJ
ejpam-6923	378	5	fractional	fractional	ADJ
ejpam-6923	378	6	-	-	PUNCT
ejpam-6923	378	7	order	order	NOUN
ejpam-6923	378	8	biochemical	biochemical	ADJ
ejpam-6923	378	9	reaction	reaction	NOUN
ejpam-6923	378	10	model	model	NOUN
ejpam-6923	378	11	and	and	CCONJ
ejpam-6923	378	12	numerical	numerical	ADJ
ejpam-6923	378	13	simulations	simulation	NOUN
ejpam-6923	378	14	.	.	PUNCT
ejpam-6923	379	1	nonlinear	nonlinear	ADJ
ejpam-6923	379	2	analysis	analysis	NOUN
ejpam-6923	379	3	:	:	PUNCT
ejpam-6923	379	4	modelling	modelling	NOUN
ejpam-6923	379	5	and	and	CCONJ
ejpam-6923	379	6	control	control	NOUN
ejpam-6923	379	7	,	,	PUNCT
ejpam-6923	379	8	29(3):588–605	29(3):588–605	PROPN
ejpam-6923	379	9	,	,	PUNCT
ejpam-6923	379	10	2024	2024	NUM
ejpam-6923	379	11	.	.	PUNCT
ejpam-6923	380	1	[	[	X
ejpam-6923	380	2	24	24	NUM
ejpam-6923	380	3	]	]	PUNCT
ejpam-6923	380	4	eiman	eiman	NOUN
ejpam-6923	380	5	,	,	PUNCT
ejpam-6923	380	6	k.	k.	PROPN
ejpam-6923	380	7	shah	shah	PROPN
ejpam-6923	380	8	,	,	PUNCT
ejpam-6923	380	9	m.	m.	NOUN
ejpam-6923	380	10	sarwar	sarwar	PROPN
ejpam-6923	380	11	,	,	PUNCT
ejpam-6923	380	12	and	and	CCONJ
ejpam-6923	380	13	t.	t.	NOUN
ejpam-6923	380	14	abdeljawad	abdeljawad	NOUN
ejpam-6923	380	15	.	.	PUNCT
ejpam-6923	381	1	on	on	ADP
ejpam-6923	381	2	mathematical	mathematical	ADJ
ejpam-6923	381	3	model	model	NOUN
ejpam-6923	381	4	of	of	ADP
ejpam-6923	381	5	infectious	infectious	ADJ
ejpam-6923	381	6	disease	disease	NOUN
ejpam-6923	381	7	by	by	ADP
ejpam-6923	381	8	using	use	VERB
ejpam-6923	381	9	fractals	fractal	NOUN
ejpam-6923	381	10	fractional	fractional	ADJ
ejpam-6923	381	11	analysis	analysis	NOUN
ejpam-6923	381	12	.	.	PUNCT
ejpam-6923	382	1	discrete	discrete	ADJ
ejpam-6923	382	2	and	and	CCONJ
ejpam-6923	382	3	continuous	continuous	ADJ
ejpam-6923	382	4	dynamical	dynamical	ADJ
ejpam-6923	382	5	systems	system	NOUN
ejpam-6923	382	6	-	-	PUNCT
ejpam-6923	382	7	s	s	NOUN
ejpam-6923	382	8	,	,	PUNCT
ejpam-6923	382	9	pages	page	NOUN
ejpam-6923	382	10	0–0	0–0	NUM
ejpam-6923	382	11	,	,	PUNCT
ejpam-6923	382	12	2024	2024	NUM
ejpam-6923	382	13	.	.	PUNCT
ejpam-6923	383	1	[	[	X
ejpam-6923	383	2	25	25	NUM
ejpam-6923	383	3	]	]	PUNCT
ejpam-6923	383	4	m.	m.	NOUN
ejpam-6923	383	5	u.	u.	PROPN
ejpam-6923	383	6	rahman	rahman	PROPN
ejpam-6923	383	7	,	,	PUNCT
ejpam-6923	383	8	s.	s.	PROPN
ejpam-6923	383	9	boulaaras	boulaaras	PROPN
ejpam-6923	383	10	,	,	PUNCT
ejpam-6923	383	11	s.	s.	PROPN
ejpam-6923	383	12	tabassum	tabassum	PROPN
ejpam-6923	383	13	,	,	PUNCT
ejpam-6923	383	14	and	and	CCONJ
ejpam-6923	383	15	d.	d.	PROPN
ejpam-6923	383	16	baleanu	baleanu	PROPN
ejpam-6923	383	17	.	.	PUNCT
ejpam-6923	384	1	a	a	DET
ejpam-6923	384	2	deep	deep	ADJ
ejpam-6923	384	3	neural	neural	ADJ
ejpam-6923	384	4	network	network	NOUN
ejpam-6923	384	5	analysis	analysis	NOUN
ejpam-6923	384	6	of	of	ADP
ejpam-6923	384	7	fractional	fractional	ADJ
ejpam-6923	384	8	omicron	omicron	PROPN
ejpam-6923	384	9	mathematical	mathematical	PROPN
ejpam-6923	384	10	model	model	NOUN
ejpam-6923	384	11	with	with	ADP
ejpam-6923	384	12	vaccination	vaccination	NOUN
ejpam-6923	384	13	and	and	CCONJ
ejpam-6923	384	14	booster	booster	NOUN
ejpam-6923	384	15	dose	dose	PROPN
ejpam-6923	384	16	.	.	PUNCT
ejpam-6923	385	1	alexandria	alexandria	PROPN
ejpam-6923	385	2	engineering	engineering	PROPN
ejpam-6923	385	3	journal	journal	PROPN
ejpam-6923	385	4	,	,	PUNCT
ejpam-6923	385	5	118:435–448	118:435–448	NUM
ejpam-6923	385	6	,	,	PUNCT
ejpam-6923	385	7	2025	2025	NUM
ejpam-6923	385	8	.	.	PUNCT