id	sid	tid	token	lemma	pos
ejpam-4378	1	1	european	european	PROPN
ejpam-4378	1	2	journal	journal	PROPN
ejpam-4378	1	3	of	of	ADP
ejpam-4378	1	4	pure	pure	ADJ
ejpam-4378	1	5	and	and	CCONJ
ejpam-4378	1	6	applied	apply	VERB
ejpam-4378	1	7	mathematics	mathematic	NOUN
ejpam-4378	1	8	vol	vol	NOUN
ejpam-4378	1	9	.	.	PROPN
ejpam-4378	2	1	15	15	NUM
ejpam-4378	2	2	,	,	PUNCT
ejpam-4378	2	3	no	no	INTJ
ejpam-4378	2	4	.	.	NOUN
ejpam-4378	2	5	3	3	NUM
ejpam-4378	2	6	,	,	PUNCT
ejpam-4378	2	7	2022	2022	NUM
ejpam-4378	2	8	,	,	PUNCT
ejpam-4378	2	9	897	897	NUM
ejpam-4378	2	10	-	-	SYM
ejpam-4378	2	11	915	915	NUM
ejpam-4378	2	12	issn	issn	PROPN
ejpam-4378	2	13	1307	1307	NUM
ejpam-4378	2	14	-	-	SYM
ejpam-4378	2	15	5543	5543	NUM
ejpam-4378	2	16	–	–	PUNCT
ejpam-4378	3	1	ejpam.com	ejpam.com	X
ejpam-4378	3	2	published	publish	VERB
ejpam-4378	3	3	by	by	ADP
ejpam-4378	3	4	new	new	PROPN
ejpam-4378	3	5	york	york	PROPN
ejpam-4378	3	6	business	business	PROPN
ejpam-4378	3	7	global	global	PROPN
ejpam-4378	3	8	computer	computer	NOUN
ejpam-4378	3	9	virus	virus	NOUN
ejpam-4378	3	10	fractional	fractional	ADJ
ejpam-4378	3	11	order	order	NOUN
ejpam-4378	3	12	model	model	NOUN
ejpam-4378	3	13	with	with	ADP
ejpam-4378	3	14	effects	effect	NOUN
ejpam-4378	3	15	of	of	ADP
ejpam-4378	3	16	internal	internal	ADJ
ejpam-4378	3	17	and	and	CCONJ
ejpam-4378	3	18	external	external	ADJ
ejpam-4378	3	19	storage	storage	NOUN
ejpam-4378	3	20	media	medium	NOUN
ejpam-4378	3	21	muhammad	muhammad	PROPN
ejpam-4378	3	22	farman1	farman1	PROPN
ejpam-4378	3	23	,	,	PUNCT
ejpam-4378	3	24	ali	ali	PROPN
ejpam-4378	3	25	akgul2	akgul2	PROPN
ejpam-4378	3	26	,	,	PUNCT
ejpam-4378	3	27	h.	h.	PROPN
ejpam-4378	3	28	shanak3	shanak3	PROPN
ejpam-4378	3	29	,	,	PUNCT
ejpam-4378	3	30	jihad	jihad	PROPN
ejpam-4378	3	31	asad3,∗	asad3,∗	PROPN
ejpam-4378	3	32	,	,	PUNCT
ejpam-4378	3	33	aqeel	aqeel	PROPN
ejpam-4378	3	34	ahmad4	ahmad4	PROPN
ejpam-4378	3	35	1	1	NUM
ejpam-4378	3	36	department	department	NOUN
ejpam-4378	3	37	of	of	ADP
ejpam-4378	3	38	mathematics	mathematics	PROPN
ejpam-4378	3	39	,	,	PUNCT
ejpam-4378	3	40	khawaja	khawaja	PROPN
ejpam-4378	3	41	fareed	fareed	PROPN
ejpam-4378	3	42	university	university	PROPN
ejpam-4378	3	43	of	of	ADP
ejpam-4378	3	44	engineering	engineering	NOUN
ejpam-4378	3	45	and	and	CCONJ
ejpam-4378	3	46	information	information	NOUN
ejpam-4378	3	47	technology	technology	NOUN
ejpam-4378	3	48	,	,	PUNCT
ejpam-4378	3	49	rahim	rahim	PROPN
ejpam-4378	3	50	yar	yar	PROPN
ejpam-4378	3	51	khan	khan	PROPN
ejpam-4378	3	52	,	,	PUNCT
ejpam-4378	3	53	pakistan	pakistan	PROPN
ejpam-4378	3	54	2	2	NUM
ejpam-4378	3	55	art	art	NOUN
ejpam-4378	3	56	and	and	CCONJ
ejpam-4378	3	57	science	science	NOUN
ejpam-4378	3	58	faculty	faculty	NOUN
ejpam-4378	3	59	,	,	PUNCT
ejpam-4378	3	60	department	department	NOUN
ejpam-4378	3	61	of	of	ADP
ejpam-4378	3	62	mathematics	mathematic	NOUN
ejpam-4378	3	63	,	,	PUNCT
ejpam-4378	3	64	siirt	siirt	PROPN
ejpam-4378	3	65	university	university	NOUN
ejpam-4378	3	66	,	,	PUNCT
ejpam-4378	3	67	56100	56100	NUM
ejpam-4378	3	68	siirt	siirt	PROPN
ejpam-4378	3	69	turkey	turkey	PROPN
ejpam-4378	3	70	3	3	NUM
ejpam-4378	3	71	department	department	PROPN
ejpam-4378	3	72	of	of	ADP
ejpam-4378	3	73	physics	physics	PROPN
ejpam-4378	3	74	,	,	PUNCT
ejpam-4378	3	75	faculty	faculty	NOUN
ejpam-4378	3	76	of	of	ADP
ejpam-4378	3	77	applied	apply	VERB
ejpam-4378	3	78	sciences	science	NOUN
ejpam-4378	3	79	,	,	PUNCT
ejpam-4378	3	80	palestine	palestine	PROPN
ejpam-4378	3	81	technical	technical	PROPN
ejpam-4378	3	82	universitykadoorie	universitykadoorie	PROPN
ejpam-4378	3	83	,	,	PUNCT
ejpam-4378	3	84	tulkarm	tulkarm	NOUN
ejpam-4378	3	85	305	305	NUM
ejpam-4378	3	86	,	,	PUNCT
ejpam-4378	3	87	west	west	PROPN
ejpam-4378	3	88	bank	bank	PROPN
ejpam-4378	3	89	,	,	PUNCT
ejpam-4378	3	90	palestine	palestine	PROPN
ejpam-4378	3	91	4	4	NUM
ejpam-4378	3	92	department	department	NOUN
ejpam-4378	3	93	of	of	ADP
ejpam-4378	3	94	mathematics	mathematics	PROPN
ejpam-4378	3	95	,	,	PUNCT
ejpam-4378	3	96	ghazi	ghazi	PROPN
ejpam-4378	3	97	university	university	PROPN
ejpam-4378	3	98	,	,	PUNCT
ejpam-4378	3	99	d	d	PROPN
ejpam-4378	3	100	g	g	NOUN
ejpam-4378	3	101	khan-32000	khan-32000	NOUN
ejpam-4378	3	102	,	,	PUNCT
ejpam-4378	3	103	pakistan	pakistan	ADJ
ejpam-4378	3	104	abstract	abstract	NOUN
ejpam-4378	3	105	.	.	PUNCT
ejpam-4378	4	1	in	in	ADP
ejpam-4378	4	2	this	this	DET
ejpam-4378	4	3	work	work	NOUN
ejpam-4378	4	4	,	,	PUNCT
ejpam-4378	4	5	we	we	PRON
ejpam-4378	4	6	focus	focus	VERB
ejpam-4378	4	7	on	on	ADP
ejpam-4378	4	8	the	the	DET
ejpam-4378	4	9	implementation	implementation	NOUN
ejpam-4378	4	10	of	of	ADP
ejpam-4378	4	11	epidemic	epidemic	NOUN
ejpam-4378	4	12	techniques	technique	NOUN
ejpam-4378	4	13	on	on	ADP
ejpam-4378	4	14	computer	computer	NOUN
ejpam-4378	4	15	virus	virus	NOUN
ejpam-4378	4	16	and	and	CCONJ
ejpam-4378	4	17	study	study	VERB
ejpam-4378	4	18	the	the	DET
ejpam-4378	4	19	dynamic	dynamic	ADJ
ejpam-4378	4	20	transmission	transmission	NOUN
ejpam-4378	4	21	of	of	ADP
ejpam-4378	4	22	several	several	ADJ
ejpam-4378	4	23	viruses	virus	NOUN
ejpam-4378	4	24	to	to	PART
ejpam-4378	4	25	minimize	minimize	VERB
ejpam-4378	4	26	the	the	DET
ejpam-4378	4	27	destruction	destruction	NOUN
ejpam-4378	4	28	of	of	ADP
ejpam-4378	4	29	computers	computer	NOUN
ejpam-4378	4	30	.	.	PUNCT
ejpam-4378	5	1	we	we	PRON
ejpam-4378	5	2	aim	aim	VERB
ejpam-4378	5	3	to	to	PART
ejpam-4378	5	4	make	make	VERB
ejpam-4378	5	5	and	and	CCONJ
ejpam-4378	5	6	analyze	analyze	VERB
ejpam-4378	5	7	computer	computer	NOUN
ejpam-4378	5	8	viruses	virus	NOUN
ejpam-4378	5	9	through	through	ADP
ejpam-4378	5	10	the	the	DET
ejpam-4378	5	11	atangana	atangana	PROPN
ejpam-4378	5	12	-	-	PUNCT
ejpam-4378	5	13	baleanu	baleanu	ADJ
ejpam-4378	5	14	sense	sense	NOUN
ejpam-4378	5	15	and	and	CCONJ
ejpam-4378	5	16	the	the	DET
ejpam-4378	5	17	atangana	atangana	PROPN
ejpam-4378	5	18	-	-	PUNCT
ejpam-4378	5	19	taufik	taufik	PROPN
ejpam-4378	5	20	scheme	scheme	NOUN
ejpam-4378	5	21	,	,	PUNCT
ejpam-4378	5	22	which	which	PRON
ejpam-4378	5	23	is	be	AUX
ejpam-4378	5	24	used	use	VERB
ejpam-4378	5	25	for	for	ADP
ejpam-4378	5	26	the	the	DET
ejpam-4378	5	27	fractional	fractional	ADJ
ejpam-4378	5	28	derivative	derivative	ADJ
ejpam-4378	5	29	model	model	NOUN
ejpam-4378	5	30	for	for	ADP
ejpam-4378	5	31	the	the	DET
ejpam-4378	5	32	computer	computer	NOUN
ejpam-4378	5	33	virus	virus	NOUN
ejpam-4378	5	34	epidemic	epidemic	NOUN
ejpam-4378	5	35	.	.	PUNCT
ejpam-4378	6	1	it	it	PRON
ejpam-4378	6	2	contained	contain	VERB
ejpam-4378	6	3	infected	infected	ADJ
ejpam-4378	6	4	external	external	ADJ
ejpam-4378	6	5	computer	computer	NOUN
ejpam-4378	6	6	effects	effect	NOUN
ejpam-4378	6	7	and	and	CCONJ
ejpam-4378	6	8	removable	removable	ADJ
ejpam-4378	6	9	storage	storage	NOUN
ejpam-4378	6	10	media	medium	NOUN
ejpam-4378	6	11	on	on	ADP
ejpam-4378	6	12	the	the	DET
ejpam-4378	6	13	computer	computer	NOUN
ejpam-4378	6	14	viruses	virus	NOUN
ejpam-4378	6	15	.	.	PUNCT
ejpam-4378	7	1	for	for	ADP
ejpam-4378	7	2	the	the	DET
ejpam-4378	7	3	validation	validation	NOUN
ejpam-4378	7	4	of	of	ADP
ejpam-4378	7	5	the	the	DET
ejpam-4378	7	6	model	model	NOUN
ejpam-4378	7	7	,	,	PUNCT
ejpam-4378	7	8	we	we	PRON
ejpam-4378	7	9	also	also	ADV
ejpam-4378	7	10	discussed	discuss	VERB
ejpam-4378	7	11	its	its	PRON
ejpam-4378	7	12	positivity	positivity	NOUN
ejpam-4378	7	13	and	and	CCONJ
ejpam-4378	7	14	boundedness	boundedness	NOUN
ejpam-4378	7	15	.	.	PUNCT
ejpam-4378	8	1	fixed	fix	VERB
ejpam-4378	8	2	point	point	NOUN
ejpam-4378	8	3	theory	theory	NOUN
ejpam-4378	8	4	and	and	CCONJ
ejpam-4378	8	5	the	the	DET
ejpam-4378	8	6	iterative	iterative	NOUN
ejpam-4378	8	7	methods	method	NOUN
ejpam-4378	8	8	helped	help	VERB
ejpam-4378	8	9	a	a	DET
ejpam-4378	8	10	lot	lot	NOUN
ejpam-4378	8	11	to	to	PART
ejpam-4378	8	12	find	find	VERB
ejpam-4378	8	13	out	out	ADP
ejpam-4378	8	14	the	the	DET
ejpam-4378	8	15	existence	existence	NOUN
ejpam-4378	8	16	and	and	CCONJ
ejpam-4378	8	17	uniqueness	uniqueness	NOUN
ejpam-4378	8	18	of	of	ADP
ejpam-4378	8	19	the	the	DET
ejpam-4378	8	20	model	model	NOUN
ejpam-4378	8	21	.	.	PUNCT
ejpam-4378	9	1	in	in	ADP
ejpam-4378	9	2	the	the	DET
ejpam-4378	9	3	case	case	NOUN
ejpam-4378	9	4	of	of	ADP
ejpam-4378	9	5	numerical	numerical	PROPN
ejpam-4378	9	6	simulation	simulation	PROPN
ejpam-4378	9	7	,	,	PUNCT
ejpam-4378	9	8	we	we	PRON
ejpam-4378	9	9	used	use	VERB
ejpam-4378	9	10	atanagana	atanagana	PROPN
ejpam-4378	9	11	-	-	PUNCT
ejpam-4378	9	12	taufik	taufik	PROPN
ejpam-4378	9	13	technique	technique	NOUN
ejpam-4378	9	14	to	to	PART
ejpam-4378	9	15	illustrate	illustrate	VERB
ejpam-4378	9	16	the	the	DET
ejpam-4378	9	17	effects	effect	NOUN
ejpam-4378	9	18	of	of	ADP
ejpam-4378	9	19	varying	vary	VERB
ejpam-4378	9	20	the	the	DET
ejpam-4378	9	21	fractional	fractional	ADJ
ejpam-4378	9	22	order	order	NOUN
ejpam-4378	9	23	.	.	PUNCT
ejpam-4378	10	1	the	the	DET
ejpam-4378	10	2	graphical	graphical	ADJ
ejpam-4378	10	3	results	result	NOUN
ejpam-4378	10	4	support	support	VERB
ejpam-4378	10	5	our	our	PRON
ejpam-4378	10	6	theoretical	theoretical	ADJ
ejpam-4378	10	7	results	result	NOUN
ejpam-4378	10	8	from	from	ADP
ejpam-4378	10	9	which	which	PRON
ejpam-4378	10	10	,	,	PUNCT
ejpam-4378	10	11	we	we	PRON
ejpam-4378	10	12	analyze	analyze	VERB
ejpam-4378	10	13	the	the	DET
ejpam-4378	10	14	infected	infected	ADJ
ejpam-4378	10	15	external	external	ADJ
ejpam-4378	10	16	computer	computer	NOUN
ejpam-4378	10	17	effects	effect	NOUN
ejpam-4378	10	18	and	and	CCONJ
ejpam-4378	10	19	removable	removable	ADJ
ejpam-4378	10	20	storage	storage	NOUN
ejpam-4378	10	21	media	medium	NOUN
ejpam-4378	10	22	on	on	ADP
ejpam-4378	10	23	the	the	DET
ejpam-4378	10	24	computer	computer	NOUN
ejpam-4378	10	25	viruses	virus	NOUN
ejpam-4378	10	26	.	.	PUNCT
ejpam-4378	11	1	2020	2020	NUM
ejpam-4378	11	2	mathematics	mathematic	NOUN
ejpam-4378	11	3	subject	subject	NOUN
ejpam-4378	11	4	classifications	classification	NOUN
ejpam-4378	11	5	:	:	PUNCT
ejpam-4378	11	6	65p40	65p40	NUM
ejpam-4378	11	7	,	,	PUNCT
ejpam-4378	11	8	68m07	68m07	NUM
ejpam-4378	11	9	key	key	ADJ
ejpam-4378	11	10	words	word	NOUN
ejpam-4378	11	11	and	and	CCONJ
ejpam-4378	11	12	phrases	phrase	NOUN
ejpam-4378	11	13	:	:	PUNCT
ejpam-4378	11	14	computer	computer	NOUN
ejpam-4378	11	15	virus	virus	NOUN
ejpam-4378	11	16	,	,	PUNCT
ejpam-4378	11	17	atangana	atangana	PROPN
ejpam-4378	11	18	-	-	PUNCT
ejpam-4378	11	19	baleanu	baleanu	PROPN
ejpam-4378	11	20	sense	sense	NOUN
ejpam-4378	11	21	,	,	PUNCT
ejpam-4378	11	22	atangan	atangan	NOUN
ejpam-4378	11	23	-	-	PUNCT
ejpam-4378	11	24	taufik	taufik	NOUN
ejpam-4378	11	25	,	,	PUNCT
ejpam-4378	11	26	fixed	fix	VERB
ejpam-4378	11	27	point	point	NOUN
ejpam-4378	11	28	theory	theory	NOUN
ejpam-4378	11	29	,	,	PUNCT
ejpam-4378	11	30	positivity	positivity	NOUN
ejpam-4378	11	31	and	and	CCONJ
ejpam-4378	11	32	boundedness	boundedness	NOUN
ejpam-4378	11	33	,	,	PUNCT
ejpam-4378	11	34	existence	existence	NOUN
ejpam-4378	11	35	and	and	CCONJ
ejpam-4378	11	36	uniqueness	uniqueness	NOUN
ejpam-4378	11	37	.	.	PUNCT
ejpam-4378	12	1	1	1	X
ejpam-4378	12	2	.	.	X
ejpam-4378	12	3	introduction	introduction	NOUN
ejpam-4378	12	4	the	the	DET
ejpam-4378	12	5	malicious	malicious	ADJ
ejpam-4378	12	6	and	and	CCONJ
ejpam-4378	12	7	destructive	destructive	ADJ
ejpam-4378	12	8	results	result	NOUN
ejpam-4378	12	9	that	that	PRON
ejpam-4378	12	10	can	can	AUX
ejpam-4378	12	11	be	be	AUX
ejpam-4378	12	12	obtained	obtain	VERB
ejpam-4378	12	13	from	from	ADP
ejpam-4378	12	14	program	program	NOUN
ejpam-4378	12	15	codes	code	NOUN
ejpam-4378	12	16	are	be	AUX
ejpam-4378	12	17	known	know	VERB
ejpam-4378	12	18	as	as	ADP
ejpam-4378	12	19	computer	computer	NOUN
ejpam-4378	12	20	viruses	virus	NOUN
ejpam-4378	12	21	.	.	PUNCT
ejpam-4378	13	1	they	they	PRON
ejpam-4378	13	2	are	be	AUX
ejpam-4378	13	3	automated	automate	VERB
ejpam-4378	13	4	programs	program	NOUN
ejpam-4378	13	5	that	that	PRON
ejpam-4378	13	6	,	,	PUNCT
ejpam-4378	13	7	against	against	ADP
ejpam-4378	13	8	the	the	DET
ejpam-4378	13	9	user	user	NOUN
ejpam-4378	13	10	’s	’s	PART
ejpam-4378	13	11	wishes	wish	NOUN
ejpam-4378	13	12	,	,	PUNCT
ejpam-4378	13	13	replicate	replicate	VERB
ejpam-4378	13	14	themselves	themselves	PRON
ejpam-4378	13	15	to	to	PART
ejpam-4378	13	16	spread	spread	VERB
ejpam-4378	13	17	to	to	ADP
ejpam-4378	13	18	new	new	ADJ
ejpam-4378	13	19	targets	target	NOUN
ejpam-4378	13	20	and	and	CCONJ
ejpam-4378	13	21	infect	infect	VERB
ejpam-4378	13	22	computers	computer	NOUN
ejpam-4378	13	23	.	.	PUNCT
ejpam-4378	14	1	a	a	DET
ejpam-4378	14	2	lot	lot	NOUN
ejpam-4378	14	3	of	of	ADP
ejpam-4378	14	4	time	time	NOUN
ejpam-4378	14	5	and	and	CCONJ
ejpam-4378	14	6	effort	effort	NOUN
ejpam-4378	14	7	has	have	AUX
ejpam-4378	14	8	gone	go	VERB
ejpam-4378	14	9	into	into	ADP
ejpam-4378	14	10	researching	research	VERB
ejpam-4378	14	11	how	how	SCONJ
ejpam-4378	14	12	to	to	PART
ejpam-4378	14	13	avoid	avoid	VERB
ejpam-4378	14	14	harmful	harmful	ADJ
ejpam-4378	14	15	actions	action	NOUN
ejpam-4378	14	16	.	.	PUNCT
ejpam-4378	15	1	to	to	PART
ejpam-4378	15	2	effectively	effectively	ADV
ejpam-4378	15	3	control	control	VERB
ejpam-4378	15	4	the	the	DET
ejpam-4378	15	5	spread	spread	NOUN
ejpam-4378	15	6	of	of	ADP
ejpam-4378	15	7	computer	computer	NOUN
ejpam-4378	15	8	viruses	virus	NOUN
ejpam-4378	15	9	,	,	PUNCT
ejpam-4378	15	10	it	it	PRON
ejpam-4378	15	11	is	be	AUX
ejpam-4378	15	12	critical	critical	ADJ
ejpam-4378	15	13	to	to	PART
ejpam-4378	15	14	understand	understand	VERB
ejpam-4378	15	15	how	how	SCONJ
ejpam-4378	15	16	malicious	malicious	ADJ
ejpam-4378	15	17	codes	code	NOUN
ejpam-4378	15	18	spread	spread	VERB
ejpam-4378	15	19	over	over	ADP
ejpam-4378	15	20	the	the	DET
ejpam-4378	15	21	internet	internet	NOUN
ejpam-4378	15	22	.	.	PUNCT
ejpam-4378	16	1	to	to	PART
ejpam-4378	16	2	reduce	reduce	VERB
ejpam-4378	16	3	the	the	DET
ejpam-4378	16	4	threat	threat	NOUN
ejpam-4378	16	5	of	of	ADP
ejpam-4378	16	6	virus	virus	NOUN
ejpam-4378	16	7	several	several	ADJ
ejpam-4378	16	8	techniques	technique	NOUN
ejpam-4378	16	9	can	can	AUX
ejpam-4378	16	10	be	be	AUX
ejpam-4378	16	11	proposed	propose	VERB
ejpam-4378	16	12	with	with	ADP
ejpam-4378	16	13	the	the	DET
ejpam-4378	16	14	help	help	NOUN
ejpam-4378	16	15	of	of	ADP
ejpam-4378	16	16	epidemic	epidemic	NOUN
ejpam-4378	16	17	∗corresponding	∗corresponding	NOUN
ejpam-4378	16	18	author	author	NOUN
ejpam-4378	16	19	.	.	PUNCT
ejpam-4378	17	1	doi	doi	NOUN
ejpam-4378	17	2	:	:	PUNCT
ejpam-4378	17	3	https://doi.org/10.29020/nybg.ejpam.v15i3.4378	https://doi.org/10.29020/nybg.ejpam.v15i3.4378	NOUN
ejpam-4378	17	4	email	email	NOUN
ejpam-4378	17	5	addresses	address	VERB
ejpam-4378	17	6	:	:	PUNCT
ejpam-4378	18	1	j.asad@ptuk.edu.ps	j.asad@ptuk.edu.ps	NOUN
ejpam-4378	18	2	(	(	PUNCT
ejpam-4378	18	3	jihad	jihad	PROPN
ejpam-4378	18	4	asad	asad	PROPN
ejpam-4378	18	5	)	)	PUNCT
ejpam-4378	18	6	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4378	18	7	897	897	NUM
ejpam-4378	19	1	©	©	PROPN
ejpam-4378	19	2	2022	2022	NUM
ejpam-4378	19	3	ejpam	ejpam	VERB
ejpam-4378	19	4	all	all	DET
ejpam-4378	19	5	rights	right	NOUN
ejpam-4378	19	6	reserved	reserve	VERB
ejpam-4378	19	7	.	.	PUNCT
ejpam-4378	20	1	j.	j.	PROPN
ejpam-4378	20	2	asad	asad	PROPN
ejpam-4378	20	3	et	et	PROPN
ejpam-4378	20	4	al	al	PROPN
ejpam-4378	20	5	.	.	PUNCT
ejpam-4378	20	6	/	/	SYM
ejpam-4378	20	7	eur	eur	PROPN
ejpam-4378	20	8	.	.	PUNCT
ejpam-4378	21	1	j.	j.	PROPN
ejpam-4378	21	2	pure	pure	PROPN
ejpam-4378	21	3	appl	appl	PROPN
ejpam-4378	21	4	.	.	PROPN
ejpam-4378	21	5	math	math	PROPN
ejpam-4378	21	6	,	,	PUNCT
ejpam-4378	21	7	15	15	NUM
ejpam-4378	21	8	(	(	PUNCT
ejpam-4378	21	9	3	3	NUM
ejpam-4378	21	10	)	)	PUNCT
ejpam-4378	21	11	(	(	PUNCT
ejpam-4378	21	12	2022	2022	NUM
ejpam-4378	21	13	)	)	PUNCT
ejpam-4378	21	14	,	,	PUNCT
ejpam-4378	21	15	897	897	NUM
ejpam-4378	21	16	-	-	SYM
ejpam-4378	21	17	915	915	NUM
ejpam-4378	21	18	898	898	NUM
ejpam-4378	21	19	models	model	NOUN
ejpam-4378	21	20	.	.	PUNCT
ejpam-4378	22	1	computer	computer	NOUN
ejpam-4378	22	2	viruses	virus	NOUN
ejpam-4378	22	3	have	have	VERB
ejpam-4378	22	4	different	different	ADJ
ejpam-4378	22	5	types	type	NOUN
ejpam-4378	22	6	ranging	range	VERB
ejpam-4378	22	7	from	from	ADP
ejpam-4378	22	8	host	host	NOUN
ejpam-4378	22	9	dependent	dependent	ADJ
ejpam-4378	22	10	viruses	virus	NOUN
ejpam-4378	22	11	and	and	CCONJ
ejpam-4378	22	12	network	network	NOUN
ejpam-4378	22	13	worms	worm	NOUN
ejpam-4378	22	14	,	,	PUNCT
ejpam-4378	22	15	which	which	PRON
ejpam-4378	22	16	cause	cause	VERB
ejpam-4378	22	17	a	a	DET
ejpam-4378	22	18	significant	significant	ADJ
ejpam-4378	22	19	threat	threat	NOUN
ejpam-4378	22	20	to	to	ADP
ejpam-4378	22	21	our	our	PRON
ejpam-4378	22	22	daily	daily	ADJ
ejpam-4378	22	23	life	life	NOUN
ejpam-4378	22	24	and	and	CCONJ
ejpam-4378	22	25	work	work	NOUN
ejpam-4378	22	26	[	[	X
ejpam-4378	22	27	35	35	NUM
ejpam-4378	22	28	]	]	PUNCT
ejpam-4378	22	29	.	.	PUNCT
ejpam-4378	23	1	the	the	DET
ejpam-4378	23	2	interconnected	interconnected	ADJ
ejpam-4378	23	3	networks	network	NOUN
ejpam-4378	23	4	are	be	AUX
ejpam-4378	23	5	the	the	DET
ejpam-4378	23	6	crucial	crucial	ADJ
ejpam-4378	23	7	channel	channel	NOUN
ejpam-4378	23	8	of	of	ADP
ejpam-4378	23	9	the	the	DET
ejpam-4378	23	10	fast	fast	ADJ
ejpam-4378	23	11	spread	spread	NOUN
ejpam-4378	23	12	of	of	ADP
ejpam-4378	23	13	computer	computer	NOUN
ejpam-4378	23	14	viruses	virus	NOUN
ejpam-4378	23	15	.	.	PUNCT
ejpam-4378	24	1	the	the	DET
ejpam-4378	24	2	network	network	NOUN
ejpam-4378	24	3	security	security	NOUN
ejpam-4378	24	4	community	community	NOUN
ejpam-4378	24	5	provides	provide	VERB
ejpam-4378	24	6	long	long	ADJ
ejpam-4378	24	7	and	and	CCONJ
ejpam-4378	24	8	continuous	continuous	ADJ
ejpam-4378	24	9	attention	attention	NOUN
ejpam-4378	24	10	to	to	ADP
ejpam-4378	24	11	the	the	DET
ejpam-4378	24	12	virus	virus	NOUN
ejpam-4378	24	13	diffusion	diffusion	NOUN
ejpam-4378	24	14	.	.	PUNCT
ejpam-4378	25	1	in	in	ADP
ejpam-4378	25	2	cohen	cohen	PROPN
ejpam-4378	26	1	[	[	X
ejpam-4378	26	2	13	13	NUM
ejpam-4378	26	3	]	]	PUNCT
ejpam-4378	26	4	and	and	CCONJ
ejpam-4378	26	5	murray	murray	VERB
ejpam-4378	27	1	[	[	X
ejpam-4378	27	2	26	26	NUM
ejpam-4378	27	3	]	]	PUNCT
ejpam-4378	27	4	noticed	notice	VERB
ejpam-4378	27	5	the	the	DET
ejpam-4378	27	6	analogy	analogy	NOUN
ejpam-4378	27	7	between	between	ADP
ejpam-4378	27	8	computer	computer	NOUN
ejpam-4378	27	9	viruses	virus	NOUN
ejpam-4378	27	10	,	,	PUNCT
ejpam-4378	27	11	their	their	PRON
ejpam-4378	27	12	biological	biological	ADJ
ejpam-4378	27	13	counterparts	counterpart	NOUN
ejpam-4378	27	14	,	,	PUNCT
ejpam-4378	27	15	and	and	CCONJ
ejpam-4378	27	16	different	different	ADJ
ejpam-4378	27	17	techniques	technique	NOUN
ejpam-4378	27	18	that	that	PRON
ejpam-4378	27	19	investigate	investigate	VERB
ejpam-4378	27	20	the	the	DET
ejpam-4378	27	21	dynamics	dynamic	NOUN
ejpam-4378	27	22	of	of	ADP
ejpam-4378	27	23	computer	computer	NOUN
ejpam-4378	27	24	sciences	science	NOUN
ejpam-4378	27	25	.	.	PUNCT
ejpam-4378	28	1	the	the	DET
ejpam-4378	28	2	first	first	ADJ
ejpam-4378	28	3	dynamical	dynamical	ADJ
ejpam-4378	28	4	model	model	NOUN
ejpam-4378	28	5	for	for	ADP
ejpam-4378	28	6	computer	computer	NOUN
ejpam-4378	28	7	viruses	virus	NOUN
ejpam-4378	28	8	was	be	AUX
ejpam-4378	28	9	proposed	propose	VERB
ejpam-4378	28	10	by	by	ADP
ejpam-4378	28	11	kephart	kephart	NOUN
ejpam-4378	28	12	and	and	CCONJ
ejpam-4378	28	13	white	white	ADJ
ejpam-4378	29	1	[	[	X
ejpam-4378	29	2	20	20	NUM
ejpam-4378	29	3	]	]	PUNCT
ejpam-4378	29	4	.	.	PUNCT
ejpam-4378	30	1	after	after	ADP
ejpam-4378	30	2	that	that	PRON
ejpam-4378	30	3	,	,	PUNCT
ejpam-4378	30	4	different	different	ADJ
ejpam-4378	30	5	models	model	NOUN
ejpam-4378	30	6	for	for	ADP
ejpam-4378	30	7	viruses	virus	NOUN
ejpam-4378	30	8	on	on	ADP
ejpam-4378	30	9	the	the	DET
ejpam-4378	30	10	computer	computer	NOUN
ejpam-4378	30	11	were	be	AUX
ejpam-4378	30	12	proposed	propose	VERB
ejpam-4378	30	13	[	[	X
ejpam-4378	30	14	14	14	NUM
ejpam-4378	30	15	,	,	PUNCT
ejpam-4378	30	16	18	18	NUM
ejpam-4378	30	17	,	,	PUNCT
ejpam-4378	30	18	24	24	NUM
ejpam-4378	30	19	,	,	PUNCT
ejpam-4378	30	20	25	25	NUM
ejpam-4378	30	21	,	,	PUNCT
ejpam-4378	30	22	31	31	NUM
ejpam-4378	30	23	,	,	PUNCT
ejpam-4378	30	24	33	33	NUM
ejpam-4378	30	25	,	,	PUNCT
ejpam-4378	30	26	38	38	NUM
ejpam-4378	30	27	,	,	PUNCT
ejpam-4378	30	28	39	39	NUM
ejpam-4378	30	29	,	,	PUNCT
ejpam-4378	30	30	42	42	NUM
ejpam-4378	30	31	]	]	PUNCT
ejpam-4378	30	32	.	.	PUNCT
ejpam-4378	31	1	there	there	PRON
ejpam-4378	31	2	was	be	VERB
ejpam-4378	31	3	no	no	DET
ejpam-4378	31	4	infectivity	infectivity	NOUN
ejpam-4378	31	5	in	in	ADP
ejpam-4378	31	6	the	the	DET
ejpam-4378	31	7	previous	previous	ADJ
ejpam-4378	31	8	models	model	NOUN
ejpam-4378	31	9	.	.	PUNCT
ejpam-4378	32	1	the	the	DET
ejpam-4378	32	2	original	original	ADJ
ejpam-4378	32	3	slbs	slb	NOUN
ejpam-4378	32	4	(	(	PUNCT
ejpam-4378	32	5	susceptible	susceptible	ADJ
ejpam-4378	32	6	-	-	PUNCT
ejpam-4378	32	7	latent	latent	NOUN
ejpam-4378	32	8	-	-	PUNCT
ejpam-4378	32	9	breaking	break	VERB
ejpam-4378	32	10	-	-	PUNCT
ejpam-4378	32	11	susceptible	susceptible	ADJ
ejpam-4378	32	12	)	)	PUNCT
ejpam-4378	32	13	model	model	NOUN
ejpam-4378	32	14	for	for	ADP
ejpam-4378	32	15	the	the	DET
ejpam-4378	32	16	computer	computer	NOUN
ejpam-4378	32	17	virus	virus	NOUN
ejpam-4378	32	18	was	be	AUX
ejpam-4378	32	19	organized	organize	VERB
ejpam-4378	32	20	by	by	ADP
ejpam-4378	32	21	yang	yang	PROPN
ejpam-4378	32	22	et	et	PROPN
ejpam-4378	32	23	al	al	PROPN
ejpam-4378	33	1	[	[	X
ejpam-4378	33	2	40	40	NUM
ejpam-4378	33	3	]	]	PUNCT
ejpam-4378	33	4	.	.	PUNCT
ejpam-4378	34	1	in	in	ADP
ejpam-4378	34	2	recent	recent	ADJ
ejpam-4378	34	3	years	year	NOUN
ejpam-4378	34	4	the	the	DET
ejpam-4378	34	5	fractional	fractional	ADJ
ejpam-4378	34	6	calculus	calculus	NOUN
ejpam-4378	34	7	has	have	AUX
ejpam-4378	34	8	fascinated	fascinate	VERB
ejpam-4378	34	9	the	the	DET
ejpam-4378	34	10	attention	attention	NOUN
ejpam-4378	34	11	of	of	ADP
ejpam-4378	34	12	researchers	researcher	NOUN
ejpam-4378	34	13	and	and	CCONJ
ejpam-4378	34	14	the	the	DET
ejpam-4378	34	15	various	various	ADJ
ejpam-4378	34	16	features	feature	NOUN
ejpam-4378	34	17	of	of	ADP
ejpam-4378	34	18	that	that	DET
ejpam-4378	34	19	study	study	NOUN
ejpam-4378	34	20	under	under	ADP
ejpam-4378	34	21	investigation	investigation	NOUN
ejpam-4378	34	22	.	.	PUNCT
ejpam-4378	35	1	genetic	genetic	ADJ
ejpam-4378	35	2	mutations	mutation	NOUN
ejpam-4378	35	3	is	be	AUX
ejpam-4378	35	4	dominant	dominant	ADJ
ejpam-4378	35	5	tool	tool	NOUN
ejpam-4378	35	6	for	for	ADP
ejpam-4378	35	7	defining	define	VERB
ejpam-4378	35	8	the	the	DET
ejpam-4378	35	9	dynamic	dynamic	ADJ
ejpam-4378	35	10	function	function	NOUN
ejpam-4378	35	11	of	of	ADP
ejpam-4378	35	12	various	various	ADJ
ejpam-4378	35	13	body	body	NOUN
ejpam-4378	35	14	systems	system	NOUN
ejpam-4378	35	15	.	.	PUNCT
ejpam-4378	36	1	the	the	DET
ejpam-4378	36	2	power	power	NOUN
ejpam-4378	36	3	of	of	ADP
ejpam-4378	36	4	these	these	DET
ejpam-4378	36	5	component	component	NOUN
ejpam-4378	36	6	operators	operator	NOUN
ejpam-4378	36	7	is	be	AUX
ejpam-4378	36	8	their	their	PRON
ejpam-4378	36	9	non	non	ADJ
ejpam-4378	36	10	-	-	ADJ
ejpam-4378	36	11	local	local	ADJ
ejpam-4378	36	12	features	feature	NOUN
ejpam-4378	36	13	that	that	PRON
ejpam-4378	36	14	are	be	AUX
ejpam-4378	36	15	not	not	PART
ejpam-4378	36	16	in	in	ADP
ejpam-4378	36	17	the	the	DET
ejpam-4378	36	18	integer	integer	NOUN
ejpam-4378	36	19	separator	separator	NOUN
ejpam-4378	36	20	operator	operator	NOUN
ejpam-4378	36	21	.	.	PUNCT
ejpam-4378	37	1	the	the	DET
ejpam-4378	37	2	real	real	ADJ
ejpam-4378	37	3	-	-	PUNCT
ejpam-4378	37	4	world	world	NOUN
ejpam-4378	37	5	problems	problem	NOUN
ejpam-4378	37	6	include	include	VERB
ejpam-4378	37	7	characterization	characterization	NOUN
ejpam-4378	37	8	of	of	ADP
ejpam-4378	37	9	memory	memory	NOUN
ejpam-4378	37	10	and	and	CCONJ
ejpam-4378	37	11	hereditary	hereditary	ADJ
ejpam-4378	37	12	properties	property	NOUN
ejpam-4378	37	13	,	,	PUNCT
ejpam-4378	37	14	while	while	SCONJ
ejpam-4378	37	15	fractional	fractional	ADJ
ejpam-4378	37	16	order	order	NOUN
ejpam-4378	37	17	problems	problem	NOUN
ejpam-4378	37	18	include	include	VERB
ejpam-4378	37	19	integration	integration	NOUN
ejpam-4378	37	20	and	and	CCONJ
ejpam-4378	37	21	transects	transect	NOUN
ejpam-4378	37	22	differentiation	differentiation	NOUN
ejpam-4378	37	23	that	that	PRON
ejpam-4378	37	24	can	can	AUX
ejpam-4378	37	25	be	be	AUX
ejpam-4378	37	26	understandable	understandable	ADJ
ejpam-4378	37	27	through	through	ADP
ejpam-4378	37	28	fractional	fractional	ADJ
ejpam-4378	37	29	calculus	calculus	NOUN
ejpam-4378	37	30	[	[	X
ejpam-4378	37	31	6	6	NUM
ejpam-4378	37	32	,	,	PUNCT
ejpam-4378	37	33	10	10	NUM
ejpam-4378	37	34	]	]	PUNCT
ejpam-4378	37	35	.	.	PUNCT
ejpam-4378	38	1	riemann	riemann	PROPN
ejpam-4378	38	2	liouville	liouville	PROPN
ejpam-4378	38	3	proposed	propose	VERB
ejpam-4378	38	4	idea	idea	NOUN
ejpam-4378	38	5	of	of	ADP
ejpam-4378	38	6	fractional	fractional	ADJ
ejpam-4378	38	7	derivative	derivative	NOUN
ejpam-4378	38	8	.	.	PUNCT
ejpam-4378	39	1	scientist	scientist	NOUN
ejpam-4378	39	2	used	use	VERB
ejpam-4378	39	3	the	the	DET
ejpam-4378	39	4	latest	late	ADJ
ejpam-4378	39	5	fractional	fractional	ADJ
ejpam-4378	39	6	order	order	NOUN
ejpam-4378	39	7	derivative	derivative	NOUN
ejpam-4378	39	8	in	in	ADP
ejpam-4378	39	9	the	the	DET
ejpam-4378	39	10	exponential	exponential	ADJ
ejpam-4378	39	11	kernel	kernel	NOUN
ejpam-4378	40	1	[	[	X
ejpam-4378	40	2	7	7	NUM
ejpam-4378	40	3	,	,	PUNCT
ejpam-4378	40	4	17	17	NUM
ejpam-4378	40	5	]	]	PUNCT
ejpam-4378	40	6	.	.	PUNCT
ejpam-4378	41	1	the	the	DET
ejpam-4378	41	2	approaches	approach	NOUN
ejpam-4378	41	3	of	of	ADP
ejpam-4378	41	4	epidemic	epidemic	NOUN
ejpam-4378	41	5	model	model	NOUN
ejpam-4378	41	6	shows	show	VERB
ejpam-4378	41	7	different	different	ADJ
ejpam-4378	41	8	problems	problem	NOUN
ejpam-4378	41	9	of	of	ADP
ejpam-4378	41	10	non	non	ADJ
ejpam-4378	41	11	-	-	ADJ
ejpam-4378	41	12	singular	singular	ADJ
ejpam-4378	41	13	kernel	kernel	NOUN
ejpam-4378	41	14	,	,	PUNCT
ejpam-4378	41	15	which	which	PRON
ejpam-4378	41	16	includes	include	VERB
ejpam-4378	41	17	trigonometric	trigonometric	ADJ
ejpam-4378	41	18	and	and	CCONJ
ejpam-4378	41	19	exponential	exponential	ADJ
ejpam-4378	41	20	functions	function	NOUN
ejpam-4378	41	21	[	[	X
ejpam-4378	41	22	15	15	NUM
ejpam-4378	41	23	,	,	PUNCT
ejpam-4378	41	24	16	16	NUM
ejpam-4378	41	25	,	,	PUNCT
ejpam-4378	41	26	34	34	NUM
ejpam-4378	41	27	]	]	PUNCT
ejpam-4378	41	28	.	.	PUNCT
ejpam-4378	42	1	the	the	DET
ejpam-4378	42	2	covid19	covid19	PROPN
ejpam-4378	42	3	disease	disease	PROPN
ejpam-4378	42	4	conceptual	conceptual	ADJ
ejpam-4378	42	5	model	model	NOUN
ejpam-4378	42	6	which	which	PRON
ejpam-4378	42	7	effectively	effectively	ADV
ejpam-4378	42	8	catches	catch	VERB
ejpam-4378	42	9	the	the	DET
ejpam-4378	42	10	proposed	propose	VERB
ejpam-4378	42	11	outbreak	outbreak	NOUN
ejpam-4378	42	12	of	of	ADP
ejpam-4378	42	13	this	this	DET
ejpam-4378	42	14	virus	virus	NOUN
ejpam-4378	43	1	[	[	X
ejpam-4378	43	2	4	4	NUM
ejpam-4378	43	3	,	,	PUNCT
ejpam-4378	43	4	37	37	NUM
ejpam-4378	43	5	,	,	PUNCT
ejpam-4378	43	6	41	41	NUM
ejpam-4378	43	7	]	]	PUNCT
ejpam-4378	43	8	.	.	PUNCT
ejpam-4378	44	1	the	the	DET
ejpam-4378	44	2	nonlinear	nonlinear	ADJ
ejpam-4378	44	3	fractional	fractional	ADJ
ejpam-4378	44	4	differential	differential	NOUN
ejpam-4378	44	5	equation	equation	NOUN
ejpam-4378	44	6	containing	contain	VERB
ejpam-4378	44	7	atanagana	atanagana	NOUN
ejpam-4378	44	8	-	-	PUNCT
ejpam-4378	44	9	baleanu	baleanu	ADJ
ejpam-4378	44	10	fractional	fractional	ADJ
ejpam-4378	44	11	derivative	derivative	NOUN
ejpam-4378	44	12	is	be	AUX
ejpam-4378	44	13	solved	solve	VERB
ejpam-4378	44	14	by	by	ADP
ejpam-4378	44	15	toufik	toufik	NOUN
ejpam-4378	44	16	and	and	CCONJ
ejpam-4378	44	17	atangana	atangana	NOUN
ejpam-4378	45	1	[	[	X
ejpam-4378	45	2	36	36	NUM
ejpam-4378	45	3	]	]	PUNCT
ejpam-4378	45	4	.	.	PUNCT
ejpam-4378	46	1	the	the	DET
ejpam-4378	46	2	most	most	ADV
ejpam-4378	46	3	repetitive	repetitive	ADJ
ejpam-4378	46	4	feature	feature	NOUN
ejpam-4378	46	5	of	of	ADP
ejpam-4378	46	6	these	these	DET
ejpam-4378	46	7	models	model	NOUN
ejpam-4378	46	8	is	be	AUX
ejpam-4378	46	9	their	their	PRON
ejpam-4378	46	10	global	global	ADJ
ejpam-4378	46	11	(	(	PUNCT
ejpam-4378	46	12	non	non	ADJ
ejpam-4378	46	13	-	-	ADJ
ejpam-4378	46	14	local	local	ADJ
ejpam-4378	46	15	)	)	PUNCT
ejpam-4378	46	16	features	feature	NOUN
ejpam-4378	46	17	that	that	PRON
ejpam-4378	46	18	include	include	VERB
ejpam-4378	46	19	fractional	fractional	ADJ
ejpam-4378	46	20	application	application	NOUN
ejpam-4378	46	21	are	be	AUX
ejpam-4378	46	22	also	also	ADV
ejpam-4378	46	23	discuss	discuss	ADJ
ejpam-4378	46	24	in	in	ADP
ejpam-4378	46	25	[	[	X
ejpam-4378	46	26	1–3	1–3	NOUN
ejpam-4378	46	27	,	,	PUNCT
ejpam-4378	46	28	5	5	NUM
ejpam-4378	46	29	,	,	PUNCT
ejpam-4378	46	30	29	29	NUM
ejpam-4378	46	31	]	]	PUNCT
ejpam-4378	46	32	.	.	PUNCT
ejpam-4378	47	1	khan	khan	PROPN
ejpam-4378	47	2	and	and	CCONJ
ejpam-4378	47	3	co	co	NOUN
ejpam-4378	47	4	-	-	NOUN
ejpam-4378	47	5	authors	author	NOUN
ejpam-4378	47	6	investigated	investigate	VERB
ejpam-4378	47	7	several	several	ADJ
ejpam-4378	47	8	fractional	fractional	ADJ
ejpam-4378	47	9	models	model	NOUN
ejpam-4378	47	10	to	to	PART
ejpam-4378	47	11	study	study	VERB
ejpam-4378	47	12	the	the	DET
ejpam-4378	47	13	dynamics	dynamic	NOUN
ejpam-4378	47	14	of	of	ADP
ejpam-4378	47	15	the	the	DET
ejpam-4378	47	16	zika	zika	PROPN
ejpam-4378	47	17	virus	virus	NOUN
ejpam-4378	47	18	,	,	PUNCT
ejpam-4378	47	19	pine	pine	NOUN
ejpam-4378	47	20	with	with	ADP
ejpam-4378	47	21	disease	disease	NOUN
ejpam-4378	47	22	,	,	PUNCT
ejpam-4378	47	23	covid-19	covid-19	PROPN
ejpam-4378	47	24	,	,	PUNCT
ejpam-4378	47	25	and	and	CCONJ
ejpam-4378	47	26	gonorrhea	gonorrhea	NOUN
ejpam-4378	47	27	with	with	ADP
ejpam-4378	47	28	optimal	optimal	ADJ
ejpam-4378	47	29	control	control	NOUN
ejpam-4378	47	30	[	[	X
ejpam-4378	47	31	9	9	NUM
ejpam-4378	47	32	,	,	PUNCT
ejpam-4378	47	33	21–23	21–23	NUM
ejpam-4378	47	34	]	]	NOUN
ejpam-4378	47	35	.	.	PUNCT
ejpam-4378	48	1	a	a	DET
ejpam-4378	48	2	new	new	ADJ
ejpam-4378	48	3	fractional	fractional	ADJ
ejpam-4378	48	4	derivative	derivative	NOUN
ejpam-4378	48	5	with	with	ADP
ejpam-4378	48	6	a	a	DET
ejpam-4378	48	7	nonsingular	nonsingular	ADJ
ejpam-4378	48	8	kernel	kernel	NOUN
ejpam-4378	48	9	involving	involve	VERB
ejpam-4378	48	10	exponential	exponential	NOUN
ejpam-4378	48	11	,	,	PUNCT
ejpam-4378	48	12	mittag	mittag	ADJ
ejpam-4378	48	13	-	-	PUNCT
ejpam-4378	48	14	leffler	leffler	NOUN
ejpam-4378	48	15	,	,	PUNCT
ejpam-4378	48	16	power	power	NOUN
ejpam-4378	48	17	functions	function	NOUN
ejpam-4378	48	18	,	,	PUNCT
ejpam-4378	48	19	and	and	CCONJ
ejpam-4378	48	20	some	some	DET
ejpam-4378	48	21	advanced	advanced	ADJ
ejpam-4378	48	22	approaches	approach	NOUN
ejpam-4378	48	23	for	for	ADP
ejpam-4378	48	24	epidemic	epidemic	NOUN
ejpam-4378	48	25	models	model	NOUN
ejpam-4378	48	26	have	have	AUX
ejpam-4378	48	27	been	be	AUX
ejpam-4378	48	28	elaborated	elaborate	VERB
ejpam-4378	48	29	in	in	ADP
ejpam-4378	48	30	[	[	X
ejpam-4378	48	31	8	8	NUM
ejpam-4378	48	32	,	,	PUNCT
ejpam-4378	48	33	11	11	NUM
ejpam-4378	48	34	,	,	PUNCT
ejpam-4378	48	35	27	27	NUM
ejpam-4378	48	36	,	,	PUNCT
ejpam-4378	48	37	27	27	NUM
ejpam-4378	48	38	,	,	PUNCT
ejpam-4378	48	39	28	28	NUM
ejpam-4378	48	40	,	,	PUNCT
ejpam-4378	48	41	30	30	NUM
ejpam-4378	48	42	]	]	PUNCT
ejpam-4378	48	43	.	.	PUNCT
ejpam-4378	49	1	the	the	DET
ejpam-4378	49	2	lie	lie	NOUN
ejpam-4378	49	3	group	group	NOUN
ejpam-4378	49	4	method	method	NOUN
ejpam-4378	49	5	is	be	AUX
ejpam-4378	49	6	used	use	VERB
ejpam-4378	49	7	in	in	ADP
ejpam-4378	49	8	[	[	X
ejpam-4378	49	9	32	32	NUM
ejpam-4378	49	10	]	]	PUNCT
ejpam-4378	49	11	to	to	PART
ejpam-4378	49	12	obtain	obtain	VERB
ejpam-4378	49	13	the	the	DET
ejpam-4378	49	14	lie	lie	NOUN
ejpam-4378	49	15	symmetry	symmetry	NOUN
ejpam-4378	49	16	algebra	algebra	PROPN
ejpam-4378	49	17	admitted	admit	VERB
ejpam-4378	49	18	by	by	ADP
ejpam-4378	49	19	the	the	DET
ejpam-4378	49	20	time	time	NOUN
ejpam-4378	49	21	fractional	fractional	ADJ
ejpam-4378	49	22	black	black	ADJ
ejpam-4378	49	23	-	-	PUNCT
ejpam-4378	49	24	scholes	schole	NOUN
ejpam-4378	49	25	equation	equation	NOUN
ejpam-4378	49	26	.	.	PUNCT
ejpam-4378	50	1	in	in	ADP
ejpam-4378	50	2	[	[	X
ejpam-4378	50	3	12	12	NUM
ejpam-4378	50	4	]	]	PUNCT
ejpam-4378	50	5	,	,	PUNCT
ejpam-4378	50	6	authors	author	NOUN
ejpam-4378	50	7	build	build	VERB
ejpam-4378	50	8	a	a	DET
ejpam-4378	50	9	proper	proper	ADJ
ejpam-4378	50	10	extension	extension	NOUN
ejpam-4378	50	11	of	of	ADP
ejpam-4378	50	12	the	the	DET
ejpam-4378	50	13	classical	classical	ADJ
ejpam-4378	50	14	prolongation	prolongation	NOUN
ejpam-4378	50	15	formula	formula	NOUN
ejpam-4378	50	16	of	of	ADP
ejpam-4378	50	17	conformable	conformable	ADJ
ejpam-4378	50	18	derivative	derivative	ADJ
ejpam-4378	50	19	point	point	NOUN
ejpam-4378	50	20	transformations	transformation	NOUN
ejpam-4378	50	21	.	.	PUNCT
ejpam-4378	51	1	this	this	DET
ejpam-4378	51	2	method	method	NOUN
ejpam-4378	51	3	was	be	AUX
ejpam-4378	51	4	demonstrated	demonstrate	VERB
ejpam-4378	51	5	and	and	CCONJ
ejpam-4378	51	6	used	use	VERB
ejpam-4378	51	7	to	to	PART
ejpam-4378	51	8	build	build	VERB
ejpam-4378	51	9	a	a	DET
ejpam-4378	51	10	symmetry	symmetry	NOUN
ejpam-4378	51	11	group	group	NOUN
ejpam-4378	51	12	admitting	admit	VERB
ejpam-4378	51	13	conformable	conformable	ADJ
ejpam-4378	51	14	ordinary	ordinary	ADJ
ejpam-4378	51	15	and	and	CCONJ
ejpam-4378	51	16	partial	partial	ADJ
ejpam-4378	51	17	differential	differential	ADJ
ejpam-4378	51	18	equations	equation	NOUN
ejpam-4378	51	19	.	.	PUNCT
ejpam-4378	52	1	a	a	DET
ejpam-4378	52	2	new	new	ADJ
ejpam-4378	52	3	dynamical	dynamical	ADJ
ejpam-4378	52	4	model	model	NOUN
ejpam-4378	52	5	was	be	AUX
ejpam-4378	52	6	developed	develop	VERB
ejpam-4378	52	7	in	in	ADP
ejpam-4378	52	8	[	[	X
ejpam-4378	52	9	18	18	NUM
ejpam-4378	52	10	]	]	PUNCT
ejpam-4378	52	11	.	.	PUNCT
ejpam-4378	53	1	the	the	DET
ejpam-4378	53	2	authors	author	NOUN
ejpam-4378	53	3	thoroughly	thoroughly	ADV
ejpam-4378	53	4	examined	examine	VERB
ejpam-4378	53	5	the	the	DET
ejpam-4378	53	6	model	model	NOUN
ejpam-4378	53	7	,	,	PUNCT
ejpam-4378	53	8	and	and	CCONJ
ejpam-4378	53	9	discovered	discover	VERB
ejpam-4378	53	10	that	that	SCONJ
ejpam-4378	53	11	the	the	DET
ejpam-4378	53	12	unique	unique	ADJ
ejpam-4378	53	13	(	(	PUNCT
ejpam-4378	53	14	viral	viral	ADJ
ejpam-4378	53	15	)	)	PUNCT
ejpam-4378	53	16	equilibrium	equilibrium	NOUN
ejpam-4378	53	17	is	be	AUX
ejpam-4378	53	18	globally	globally	ADV
ejpam-4378	53	19	asymptotically	asymptotically	ADV
ejpam-4378	53	20	stable	stable	ADJ
ejpam-4378	53	21	.	.	PUNCT
ejpam-4378	54	1	the	the	DET
ejpam-4378	54	2	writers	writer	NOUN
ejpam-4378	54	3	[	[	X
ejpam-4378	54	4	19	19	NUM
ejpam-4378	54	5	]	]	PUNCT
ejpam-4378	54	6	presented	present	VERB
ejpam-4378	54	7	an	an	DET
ejpam-4378	54	8	approximation	approximation	NOUN
ejpam-4378	54	9	algorithm	algorithm	NOUN
ejpam-4378	54	10	that	that	PRON
ejpam-4378	54	11	transforms	transform	VERB
ejpam-4378	54	12	the	the	DET
ejpam-4378	54	13	given	give	VERB
ejpam-4378	54	14	system	system	NOUN
ejpam-4378	54	15	of	of	ADP
ejpam-4378	54	16	equations	equation	NOUN
ejpam-4378	54	17	into	into	ADP
ejpam-4378	54	18	a	a	DET
ejpam-4378	54	19	nonlinear	nonlinear	ADJ
ejpam-4378	54	20	matrix	matrix	NOUN
ejpam-4378	54	21	equation	equation	NOUN
ejpam-4378	54	22	by	by	ADP
ejpam-4378	54	23	representing	represent	VERB
ejpam-4378	54	24	the	the	DET
ejpam-4378	54	25	unknown	unknown	ADJ
ejpam-4378	54	26	solutions	solution	NOUN
ejpam-4378	54	27	and	and	CCONJ
ejpam-4378	54	28	their	their	PRON
ejpam-4378	54	29	derivatives	derivative	NOUN
ejpam-4378	54	30	in	in	ADP
ejpam-4378	54	31	matrix	matrix	NOUN
ejpam-4378	54	32	forms	form	NOUN
ejpam-4378	54	33	along	along	ADP
ejpam-4378	54	34	with	with	ADP
ejpam-4378	54	35	the	the	DET
ejpam-4378	54	36	collocation	collocation	NOUN
ejpam-4378	54	37	points	point	NOUN
ejpam-4378	54	38	.	.	PUNCT
ejpam-4378	55	1	a	a	DET
ejpam-4378	55	2	combination	combination	NOUN
ejpam-4378	55	3	of	of	ADP
ejpam-4378	55	4	the	the	DET
ejpam-4378	55	5	idea	idea	NOUN
ejpam-4378	55	6	of	of	ADP
ejpam-4378	55	7	quasi	quasi	NOUN
ejpam-4378	55	8	-	-	NOUN
ejpam-4378	55	9	linearization	linearization	NOUN
ejpam-4378	55	10	and	and	CCONJ
ejpam-4378	55	11	the	the	DET
ejpam-4378	55	12	bessel	bessel	NOUN
ejpam-4378	55	13	/	/	SYM
ejpam-4378	55	14	legendre	legendre	NOUN
ejpam-4378	55	15	-	-	PUNCT
ejpam-4378	55	16	collocation	collocation	NOUN
ejpam-4378	55	17	method	method	NOUN
ejpam-4378	55	18	was	be	AUX
ejpam-4378	55	19	applied	apply	VERB
ejpam-4378	55	20	to	to	ADP
ejpam-4378	55	21	the	the	DET
ejpam-4378	55	22	original	original	ADJ
ejpam-4378	55	23	nonlinear	nonlinear	ADJ
ejpam-4378	55	24	system	system	NOUN
ejpam-4378	55	25	in	in	ADP
ejpam-4378	55	26	addition	addition	NOUN
ejpam-4378	55	27	to	to	ADP
ejpam-4378	55	28	the	the	DET
ejpam-4378	55	29	direct	direct	ADJ
ejpam-4378	55	30	bessel	bessel	NOUN
ejpam-4378	55	31	or	or	CCONJ
ejpam-4378	55	32	legendre	legendre	NOUN
ejpam-4378	55	33	-	-	PUNCT
ejpam-4378	55	34	collocation	collocation	NOUN
ejpam-4378	55	35	method	method	NOUN
ejpam-4378	55	36	.	.	PUNCT
ejpam-4378	56	1	in	in	ADP
ejpam-4378	56	2	this	this	DET
ejpam-4378	56	3	work	work	NOUN
ejpam-4378	56	4	,	,	PUNCT
ejpam-4378	56	5	we	we	PRON
ejpam-4378	56	6	apply	apply	VERB
ejpam-4378	56	7	the	the	DET
ejpam-4378	56	8	atangana	atangana	PROPN
ejpam-4378	56	9	-	-	PUNCT
ejpam-4378	56	10	baleanu	baleanu	ADJ
ejpam-4378	56	11	fractional	fractional	ADJ
ejpam-4378	56	12	derivative	derivative	NOUN
ejpam-4378	56	13	with	with	ADP
ejpam-4378	56	14	sumudu	sumudu	NOUN
ejpam-4378	56	15	transform	transform	NOUN
ejpam-4378	56	16	and	and	CCONJ
ejpam-4378	56	17	atangan	atangan	NOUN
ejpam-4378	56	18	-	-	PUNCT
ejpam-4378	56	19	tufik	tufik	NOUN
ejpam-4378	56	20	scheme	scheme	NOUN
ejpam-4378	56	21	with	with	ADP
ejpam-4378	56	22	mittag	mittag	ADJ
ejpam-4378	56	23	-	-	PUNCT
ejpam-4378	56	24	leffler	leffler	NOUN
ejpam-4378	56	25	kernel	kernel	NOUN
ejpam-4378	56	26	to	to	ADP
ejpam-4378	56	27	a	a	DET
ejpam-4378	56	28	non	non	ADJ
ejpam-4378	56	29	-	-	ADJ
ejpam-4378	56	30	integer	integer	ADJ
ejpam-4378	56	31	order	order	NOUN
ejpam-4378	56	32	for	for	ADP
ejpam-4378	56	33	the	the	DET
ejpam-4378	56	34	j.	j.	PROPN
ejpam-4378	56	35	asad	asad	PROPN
ejpam-4378	56	36	et	et	PROPN
ejpam-4378	56	37	al	al	PROPN
ejpam-4378	56	38	.	.	PUNCT
ejpam-4378	56	39	/	/	SYM
ejpam-4378	56	40	eur	eur	PROPN
ejpam-4378	56	41	.	.	PUNCT
ejpam-4378	57	1	j.	j.	PROPN
ejpam-4378	57	2	pure	pure	PROPN
ejpam-4378	57	3	appl	appl	PROPN
ejpam-4378	57	4	.	.	PROPN
ejpam-4378	57	5	math	math	PROPN
ejpam-4378	57	6	,	,	PUNCT
ejpam-4378	57	7	15	15	NUM
ejpam-4378	57	8	(	(	PUNCT
ejpam-4378	57	9	3	3	NUM
ejpam-4378	57	10	)	)	PUNCT
ejpam-4378	57	11	(	(	PUNCT
ejpam-4378	57	12	2022	2022	NUM
ejpam-4378	57	13	)	)	PUNCT
ejpam-4378	57	14	,	,	PUNCT
ejpam-4378	57	15	897	897	NUM
ejpam-4378	57	16	-	-	SYM
ejpam-4378	57	17	915	915	NUM
ejpam-4378	57	18	899	899	NUM
ejpam-4378	57	19	computer	computer	NOUN
ejpam-4378	57	20	virus	virus	NOUN
ejpam-4378	57	21	model	model	NOUN
ejpam-4378	57	22	.	.	PUNCT
ejpam-4378	58	1	we	we	PRON
ejpam-4378	58	2	also	also	ADV
ejpam-4378	58	3	discussed	discuss	VERB
ejpam-4378	58	4	the	the	DET
ejpam-4378	58	5	positivity	positivity	NOUN
ejpam-4378	58	6	and	and	CCONJ
ejpam-4378	58	7	boundedness	boundedness	NOUN
ejpam-4378	58	8	of	of	ADP
ejpam-4378	58	9	the	the	DET
ejpam-4378	58	10	fractional	fractional	ADJ
ejpam-4378	58	11	order	order	NOUN
ejpam-4378	58	12	system	system	NOUN
ejpam-4378	58	13	.	.	PUNCT
ejpam-4378	59	1	the	the	DET
ejpam-4378	59	2	existence	existence	NOUN
ejpam-4378	59	3	and	and	CCONJ
ejpam-4378	59	4	uniqueness	uniqueness	NOUN
ejpam-4378	59	5	of	of	ADP
ejpam-4378	59	6	the	the	DET
ejpam-4378	59	7	solutions	solution	NOUN
ejpam-4378	59	8	of	of	ADP
ejpam-4378	59	9	the	the	DET
ejpam-4378	59	10	proposed	propose	VERB
ejpam-4378	59	11	factional	factional	ADJ
ejpam-4378	59	12	scheme	scheme	NOUN
ejpam-4378	59	13	are	be	AUX
ejpam-4378	59	14	reputable	reputable	ADJ
ejpam-4378	59	15	using	use	VERB
ejpam-4378	59	16	fixed	fix	VERB
ejpam-4378	59	17	-	-	PUNCT
ejpam-4378	59	18	point	point	NOUN
ejpam-4378	59	19	theory	theory	NOUN
ejpam-4378	59	20	and	and	CCONJ
ejpam-4378	59	21	an	an	DET
ejpam-4378	59	22	iterative	iterative	NOUN
ejpam-4378	59	23	method	method	NOUN
ejpam-4378	59	24	.	.	PUNCT
ejpam-4378	60	1	lastly	lastly	ADV
ejpam-4378	60	2	,	,	PUNCT
ejpam-4378	60	3	simulation	simulation	NOUN
ejpam-4378	60	4	are	be	AUX
ejpam-4378	60	5	made	make	VERB
ejpam-4378	60	6	to	to	PART
ejpam-4378	60	7	see	see	VERB
ejpam-4378	60	8	actual	actual	ADJ
ejpam-4378	60	9	behaviour	behaviour	NOUN
ejpam-4378	60	10	of	of	ADP
ejpam-4378	60	11	this	this	DET
ejpam-4378	60	12	physical	physical	ADJ
ejpam-4378	60	13	phenomena	phenomenon	NOUN
ejpam-4378	60	14	.	.	PUNCT
ejpam-4378	61	1	2	2	X
ejpam-4378	61	2	.	.	X
ejpam-4378	61	3	preliminaries	preliminary	NOUN
ejpam-4378	61	4	definition	definition	NOUN
ejpam-4378	61	5	1	1	NUM
ejpam-4378	61	6	.	.	PUNCT
ejpam-4378	62	1	for	for	ADP
ejpam-4378	62	2	any	any	DET
ejpam-4378	62	3	function	function	NOUN
ejpam-4378	62	4	ψ(t	ψ(t	PROPN
ejpam-4378	62	5	)	)	PUNCT
ejpam-4378	62	6	over	over	ADP
ejpam-4378	62	7	a	a	DET
ejpam-4378	62	8	set	set	NOUN
ejpam-4378	62	9	,	,	PUNCT
ejpam-4378	62	10	the	the	DET
ejpam-4378	62	11	sumudu	sumudu	NOUN
ejpam-4378	62	12	transform	transform	VERB
ejpam-4378	62	13	z	z	NOUN
ejpam-4378	62	14	=	=	SYM
ejpam-4378	62	15	{	{	PUNCT
ejpam-4378	62	16	ψ(t	ψ(t	PROPN
ejpam-4378	62	17	)	)	PUNCT
ejpam-4378	62	18	:	:	PUNCT
ejpam-4378	63	1	∃	∃	PROPN
ejpam-4378	63	2	ϕ	ϕ	PROPN
ejpam-4378	63	3	,	,	PUNCT
ejpam-4378	63	4	such	such	ADJ
ejpam-4378	63	5	that	that	DET
ejpam-4378	63	6	ϕ1	ϕ1	NOUN
ejpam-4378	63	7	,	,	PUNCT
ejpam-4378	63	8	ϕ2	ϕ2	ADV
ejpam-4378	63	9	>	>	X
ejpam-4378	63	10	0	0	NUM
ejpam-4378	63	11	,	,	PUNCT
ejpam-4378	63	12	|ψ(t)|	|ψ(t)|	PRON
ejpam-4378	63	13	<	<	X
ejpam-4378	63	14	ϕe	ϕe	PRON
ejpam-4378	63	15	|ϕ|	|ϕ|	NOUN
ejpam-4378	63	16	ϕi	ϕi	ADP
ejpam-4378	63	17	,	,	PUNCT
ejpam-4378	63	18	if	if	SCONJ
ejpam-4378	63	19	t	t	PROPN
ejpam-4378	63	20	∈	∈	PROPN
ejpam-4378	63	21	(	(	PUNCT
ejpam-4378	63	22	−1)j	−1)j	NOUN
ejpam-4378	63	23	×	×	NOUN
ejpam-4378	63	24	[	[	X
ejpam-4378	63	25	0,∞	0,∞	NOUN
ejpam-4378	63	26	)	)	PUNCT
ejpam-4378	63	27	}	}	PUNCT
ejpam-4378	63	28	is	be	AUX
ejpam-4378	63	29	defined	define	VERB
ejpam-4378	63	30	by	by	ADP
ejpam-4378	63	31	a(r	a(r	NOUN
ejpam-4378	63	32	)	)	PUNCT
ejpam-4378	63	33	=	=	SYM
ejpam-4378	64	1	st	st	PROPN
ejpam-4378	65	1	[	[	X
ejpam-4378	65	2	ϕ	ϕ	X
ejpam-4378	65	3	]	]	X
ejpam-4378	65	4	=	=	PUNCT
ejpam-4378	65	5	∫	∫	PROPN
ejpam-4378	65	6	∞	∞	NUM
ejpam-4378	65	7	0	0	NUM
ejpam-4378	66	1	exp(−ϕ)ψ(rt)dϕ	exp(−ϕ)ψ(rt)dϕ	NOUN
ejpam-4378	66	2	r	r	NOUN
ejpam-4378	66	3	∈	∈	PROPN
ejpam-4378	66	4	(	(	PUNCT
ejpam-4378	66	5	−ϕ1	−ϕ1	NOUN
ejpam-4378	66	6	,	,	PUNCT
ejpam-4378	66	7	ϕ2	ϕ2	ADV
ejpam-4378	66	8	)	)	PUNCT
ejpam-4378	66	9	definition	definition	NOUN
ejpam-4378	66	10	2	2	NUM
ejpam-4378	66	11	.	.	PUNCT
ejpam-4378	67	1	the	the	DET
ejpam-4378	67	2	atangana	atangana	PROPN
ejpam-4378	67	3	baleanu	baleanu	PROPN
ejpam-4378	67	4	in	in	ADP
ejpam-4378	67	5	caputo	caputo	PROPN
ejpam-4378	67	6	sense	sense	NOUN
ejpam-4378	67	7	in	in	ADP
ejpam-4378	67	8	[	[	X
ejpam-4378	67	9	18	18	NUM
ejpam-4378	67	10	,	,	PUNCT
ejpam-4378	67	11	25	25	NUM
ejpam-4378	67	12	]	]	PUNCT
ejpam-4378	67	13	for	for	ADP
ejpam-4378	67	14	function	function	NOUN
ejpam-4378	67	15	ψ(t	ψ(t	PROPN
ejpam-4378	67	16	)	)	PUNCT
ejpam-4378	67	17	is	be	AUX
ejpam-4378	67	18	given	give	VERB
ejpam-4378	67	19	as	as	ADP
ejpam-4378	67	20	abc	abc	PROPN
ejpam-4378	67	21	σd	σd	PROPN
ejpam-4378	67	22	σ	σ	PROPN
ejpam-4378	67	23	τ	τ	PROPN
ejpam-4378	67	24	(	(	PUNCT
ejpam-4378	67	25	ψ(t	ψ(t	PROPN
ejpam-4378	67	26	)	)	PUNCT
ejpam-4378	67	27	)	)	PUNCT
ejpam-4378	68	1	=	=	SYM
ejpam-4378	68	2	ab(σ	ab(σ	X
ejpam-4378	68	3	)	)	PUNCT
ejpam-4378	68	4	m−	m−	PROPN
ejpam-4378	68	5	σ	σ	PROPN
ejpam-4378	68	6	∫	∫	PROPN
ejpam-4378	69	1	t	t	PROPN
ejpam-4378	69	2	a	a	DET
ejpam-4378	69	3	dm	dm	PROPN
ejpam-4378	69	4	dwm	dwm	NOUN
ejpam-4378	69	5	h(w)eσ	h(w)eσ	PROPN
ejpam-4378	69	6	{	{	PUNCT
ejpam-4378	69	7	−σ(t−	−σ(t−	NOUN
ejpam-4378	69	8	w)σ	w)σ	PUNCT
ejpam-4378	70	1	m−	m−	PROPN
ejpam-4378	70	2	σ	σ	PROPN
ejpam-4378	70	3	}	}	PUNCT
ejpam-4378	70	4	dw	dw	NOUN
ejpam-4378	70	5	m−	m−	PROPN
ejpam-4378	70	6	1	1	NUM
ejpam-4378	70	7	<	<	X
ejpam-4378	70	8	σ	σ	X
ejpam-4378	70	9	<	<	X
ejpam-4378	70	10	m	m	PROPN
ejpam-4378	70	11	(	(	PUNCT
ejpam-4378	70	12	1	1	NUM
ejpam-4378	70	13	)	)	PUNCT
ejpam-4378	70	14	we	we	PRON
ejpam-4378	70	15	have	have	VERB
ejpam-4378	70	16	[	[	PUNCT
ejpam-4378	70	17	abc	abc	PROPN
ejpam-4378	70	18	σd	σd	PROPN
ejpam-4378	70	19	σ	σ	PROPN
ejpam-4378	70	20	τψ(t	τψ(t	NUM
ejpam-4378	70	21	)	)	PUNCT
ejpam-4378	70	22	]	]	PUNCT
ejpam-4378	71	1	(	(	PUNCT
ejpam-4378	71	2	s	s	X
ejpam-4378	71	3	)	)	PUNCT
ejpam-4378	71	4	=	=	SYM
ejpam-4378	71	5	ab(σ	ab(σ	NOUN
ejpam-4378	71	6	)	)	PUNCT
ejpam-4378	71	7	1−	1−	NUM
ejpam-4378	72	1	α	α	DET
ejpam-4378	72	2	sσl	sσl	NOUN
ejpam-4378	73	1	[	[	X
ejpam-4378	73	2	ψ(t	ψ(t	PROPN
ejpam-4378	73	3	)	)	PUNCT
ejpam-4378	73	4	]	]	PUNCT
ejpam-4378	73	5	(	(	PUNCT
ejpam-4378	73	6	s)−	s)−	NOUN
ejpam-4378	73	7	sσ−1ψ(0	sσ−1ψ(0	PROPN
ejpam-4378	73	8	)	)	PUNCT
ejpam-4378	73	9	sσ	sσ	NOUN
ejpam-4378	73	10	+	+	CCONJ
ejpam-4378	73	11	σ	σ	PROPN
ejpam-4378	73	12	1−σ	1−σ	NUM
ejpam-4378	73	13	(	(	PUNCT
ejpam-4378	73	14	2	2	NUM
ejpam-4378	73	15	)	)	PUNCT
ejpam-4378	73	16	the	the	DET
ejpam-4378	73	17	sumudu	sumudu	NOUN
ejpam-4378	73	18	transform	transform	VERB
ejpam-4378	73	19	for	for	ADP
ejpam-4378	73	20	(	(	PUNCT
ejpam-4378	73	21	1	1	NUM
ejpam-4378	73	22	)	)	PUNCT
ejpam-4378	73	23	,	,	PUNCT
ejpam-4378	73	24	we	we	PRON
ejpam-4378	73	25	have	have	VERB
ejpam-4378	73	26	st	st	PROPN
ejpam-4378	73	27	[	[	PUNCT
ejpam-4378	73	28	abc	abc	PROPN
ejpam-4378	73	29	σd	σd	PROPN
ejpam-4378	73	30	σ	σ	PROPN
ejpam-4378	73	31	τψ(t	τψ(t	NUM
ejpam-4378	73	32	)	)	PUNCT
ejpam-4378	73	33	]	]	PUNCT
ejpam-4378	74	1	(	(	PUNCT
ejpam-4378	74	2	s	s	X
ejpam-4378	74	3	)	)	PUNCT
ejpam-4378	74	4	=	=	SYM
ejpam-4378	74	5	b(σ	b(σ	PROPN
ejpam-4378	74	6	)	)	PUNCT
ejpam-4378	74	7	1−	1−	NUM
ejpam-4378	74	8	σ	σ	NOUN
ejpam-4378	74	9	{	{	PUNCT
ejpam-4378	74	10	σγ(α+	σγ(α+	PROPN
ejpam-4378	74	11	1)eσ	1)eσ	PROPN
ejpam-4378	74	12	(	(	PUNCT
ejpam-4378	74	13	−	−	NOUN
ejpam-4378	74	14	wσ	wσ	ADJ
ejpam-4378	74	15	1−	1−	NUM
ejpam-4378	74	16	σ	σ	NOUN
ejpam-4378	74	17	)	)	PUNCT
ejpam-4378	74	18	}	}	PUNCT
ejpam-4378	74	19	×	×	NOUN
ejpam-4378	75	1	[	[	X
ejpam-4378	75	2	st	st	X
ejpam-4378	75	3	(	(	PUNCT
ejpam-4378	75	4	ψ(t))−ψ(0	ψ(t))−ψ(0	NOUN
ejpam-4378	75	5	)	)	PUNCT
ejpam-4378	75	6	]	]	PUNCT
ejpam-4378	75	7	(	(	PUNCT
ejpam-4378	75	8	3	3	X
ejpam-4378	75	9	)	)	PUNCT
ejpam-4378	75	10	definition	definition	NOUN
ejpam-4378	75	11	3	3	NUM
ejpam-4378	75	12	.	.	PUNCT
ejpam-4378	76	1	a	a	DET
ejpam-4378	76	2	function	function	NOUN
ejpam-4378	76	3	ψ(t	ψ(t	PROPN
ejpam-4378	76	4	)	)	PUNCT
ejpam-4378	76	5	for	for	ADP
ejpam-4378	76	6	abc	abc	PROPN
ejpam-4378	76	7	fractional	fractional	PROPN
ejpam-4378	76	8	order	order	NOUN
ejpam-4378	76	9	σ	σ	NOUN
ejpam-4378	76	10	is	be	AUX
ejpam-4378	76	11	given	give	VERB
ejpam-4378	76	12	by	by	ADP
ejpam-4378	76	13	abc	abc	PROPN
ejpam-4378	76	14	σi	σi	PROPN
ejpam-4378	76	15	σ	σ	PROPN
ejpam-4378	76	16	τ	τ	PROPN
ejpam-4378	76	17	(	(	PUNCT
ejpam-4378	76	18	ψ(t	ψ(t	PROPN
ejpam-4378	76	19	)	)	PUNCT
ejpam-4378	76	20	)	)	PUNCT
ejpam-4378	77	1	=	=	PUNCT
ejpam-4378	77	2	(	(	PUNCT
ejpam-4378	77	3	1−	1−	NUM
ejpam-4378	77	4	σ)ψ(t	σ)ψ(t	NUM
ejpam-4378	77	5	)	)	PUNCT
ejpam-4378	77	6	b	b	NOUN
ejpam-4378	77	7	−	−	PROPN
ejpam-4378	77	8	σ	σ	PROPN
ejpam-4378	77	9	+	+	PROPN
ejpam-4378	77	10	α	α	PROPN
ejpam-4378	77	11	b(σ)γ(σ	b(σ)γ(σ	NOUN
ejpam-4378	77	12	)	)	PUNCT
ejpam-4378	77	13	∫	∫	PROPN
ejpam-4378	77	14	t	t	PROPN
ejpam-4378	77	15	σ	σ	PROPN
ejpam-4378	77	16	ψ(s)(t−	ψ(s)(t−	PROPN
ejpam-4378	78	1	s)σ−1ds	s)σ−1ds	NOUN
ejpam-4378	78	2	(	(	PUNCT
ejpam-4378	78	3	4	4	NUM
ejpam-4378	78	4	)	)	SYM
ejpam-4378	78	5	3	3	NUM
ejpam-4378	78	6	.	.	PUNCT
ejpam-4378	78	7	fractional	fractional	ADJ
ejpam-4378	78	8	order	order	NOUN
ejpam-4378	78	9	computer	computer	NOUN
ejpam-4378	78	10	virus	virus	NOUN
ejpam-4378	78	11	model	model	VERB
ejpam-4378	78	12	the	the	DET
ejpam-4378	78	13	classical	classical	ADJ
ejpam-4378	78	14	computer	computer	NOUN
ejpam-4378	78	15	virus	virus	NOUN
ejpam-4378	78	16	model	model	NOUN
ejpam-4378	78	17	given	give	VERB
ejpam-4378	78	18	in	in	ADP
ejpam-4378	78	19	[	[	NOUN
ejpam-4378	78	20	41	41	NUM
ejpam-4378	78	21	]	]	PUNCT
ejpam-4378	78	22	,	,	PUNCT
ejpam-4378	78	23	having	have	VERB
ejpam-4378	78	24	four	four	NUM
ejpam-4378	78	25	compartments	compartment	NOUN
ejpam-4378	78	26	s(t),l(t),b(t	s(t),l(t),b(t	NOUN
ejpam-4378	78	27	)	)	PUNCT
ejpam-4378	78	28	and	and	CCONJ
ejpam-4378	78	29	r(t	r(t	NOUN
ejpam-4378	78	30	)	)	PUNCT
ejpam-4378	78	31	which	which	PRON
ejpam-4378	78	32	represent	represent	VERB
ejpam-4378	78	33	the	the	DET
ejpam-4378	78	34	susceptible	susceptible	ADJ
ejpam-4378	78	35	,	,	PUNCT
ejpam-4378	78	36	latent	latent	ADJ
ejpam-4378	78	37	computers	computer	NOUN
ejpam-4378	78	38	,	,	PUNCT
ejpam-4378	78	39	breaking	break	VERB
ejpam-4378	78	40	-	-	PUNCT
ejpam-4378	78	41	out	out	ADP
ejpam-4378	78	42	computers	computer	NOUN
ejpam-4378	78	43	and	and	CCONJ
ejpam-4378	78	44	recovered	recover	VERB
ejpam-4378	78	45	computer	computer	NOUN
ejpam-4378	78	46	after	after	ADP
ejpam-4378	78	47	infection	infection	NOUN
ejpam-4378	78	48	with	with	ADP
ejpam-4378	78	49	internal	internal	ADJ
ejpam-4378	78	50	and	and	CCONJ
ejpam-4378	78	51	external	external	ADJ
ejpam-4378	78	52	sources	source	NOUN
ejpam-4378	78	53	with	with	ADP
ejpam-4378	78	54	time	time	NOUN
ejpam-4378	78	55	t	t	NOUN
ejpam-4378	78	56	respectively	respectively	ADV
ejpam-4378	78	57	.	.	PUNCT
ejpam-4378	79	1	besides	besides	SCONJ
ejpam-4378	79	2	the	the	DET
ejpam-4378	79	3	subsequent	subsequent	ADJ
ejpam-4378	79	4	basis	basis	NOUN
ejpam-4378	79	5	assumptions	assumption	NOUN
ejpam-4378	79	6	are	be	AUX
ejpam-4378	79	7	created	create	VERB
ejpam-4378	79	8	as	as	ADP
ejpam-4378	79	9	:	:	PUNCT
ejpam-4378	79	10	the	the	DET
ejpam-4378	79	11	exploit	exploit	ADJ
ejpam-4378	79	12	rate	rate	NOUN
ejpam-4378	79	13	of	of	ADP
ejpam-4378	79	14	each	each	DET
ejpam-4378	79	15	compartment	compartment	NOUN
ejpam-4378	79	16	is	be	AUX
ejpam-4378	79	17	positive	positive	ADJ
ejpam-4378	79	18	constant	constant	ADJ
ejpam-4378	79	19	µ	µ	NOUN
ejpam-4378	79	20	;	;	PUNCT
ejpam-4378	79	21	the	the	DET
ejpam-4378	79	22	coming	come	VERB
ejpam-4378	79	23	into	into	ADP
ejpam-4378	79	24	rates	rate	NOUN
ejpam-4378	79	25	of	of	ADP
ejpam-4378	79	26	the	the	DET
ejpam-4378	79	27	four	four	NUM
ejpam-4378	79	28	compartments	compartment	NOUN
ejpam-4378	79	29	are	be	AUX
ejpam-4378	79	30	b1,b2,b3,b4	b1,b2,b3,b4	NOUN
ejpam-4378	79	31	are	be	AUX
ejpam-4378	79	32	positive	positive	ADJ
ejpam-4378	79	33	constants	constant	NOUN
ejpam-4378	79	34	respectively	respectively	ADV
ejpam-4378	79	35	;	;	PUNCT
ejpam-4378	79	36	each	each	DET
ejpam-4378	79	37	computer	computer	NOUN
ejpam-4378	79	38	in	in	ADP
ejpam-4378	79	39	the	the	DET
ejpam-4378	79	40	s	s	NOUN
ejpam-4378	79	41	-	-	NOUN
ejpam-4378	79	42	compartment	compartment	NOUN
ejpam-4378	79	43	is	be	AUX
ejpam-4378	79	44	diseased	disease	VERB
ejpam-4378	79	45	with	with	ADP
ejpam-4378	79	46	l	l	NOUN
ejpam-4378	79	47	(	(	PUNCT
ejpam-4378	79	48	or	or	CCONJ
ejpam-4378	79	49	b	b	X
ejpam-4378	79	50	)	)	PUNCT
ejpam-4378	79	51	computers	computer	NOUN
ejpam-4378	79	52	with	with	ADP
ejpam-4378	79	53	a	a	DET
ejpam-4378	79	54	chance	chance	NOUN
ejpam-4378	79	55	of	of	ADP
ejpam-4378	79	56	β1l	β1l	NUM
ejpam-4378	79	57	(	(	PUNCT
ejpam-4378	79	58	or	or	CCONJ
ejpam-4378	79	59	β2b	β2b	NUM
ejpam-4378	79	60	)	)	PUNCT
ejpam-4378	79	61	,	,	PUNCT
ejpam-4378	79	62	where	where	SCONJ
ejpam-4378	79	63	β1	β1	PROPN
ejpam-4378	79	64	,	,	PUNCT
ejpam-4378	79	65	β2	β2	NOUN
ejpam-4378	79	66	are	be	AUX
ejpam-4378	79	67	favorable	favorable	ADJ
ejpam-4378	79	68	times	time	NOUN
ejpam-4378	79	69	;	;	PUNCT
ejpam-4378	79	70	each	each	DET
ejpam-4378	79	71	computer	computer	NOUN
ejpam-4378	79	72	in	in	ADP
ejpam-4378	79	73	s	s	NOUN
ejpam-4378	79	74	-	-	PUNCT
ejpam-4378	79	75	room	room	NOUN
ejpam-4378	79	76	is	be	AUX
ejpam-4378	79	77	diseased	disease	VERB
ejpam-4378	79	78	with	with	ADP
ejpam-4378	79	79	changeable	changeable	ADJ
ejpam-4378	79	80	storage	storage	NOUN
ejpam-4378	79	81	media	medium	NOUN
ejpam-4378	79	82	that	that	PRON
ejpam-4378	79	83	may	may	AUX
ejpam-4378	79	84	have	have	VERB
ejpam-4378	79	85	j.	j.	PROPN
ejpam-4378	79	86	asad	asad	PROPN
ejpam-4378	79	87	et	et	PROPN
ejpam-4378	79	88	al	al	PROPN
ejpam-4378	79	89	.	.	PUNCT
ejpam-4378	79	90	/	/	SYM
ejpam-4378	79	91	eur	eur	PROPN
ejpam-4378	79	92	.	.	PUNCT
ejpam-4378	80	1	j.	j.	PROPN
ejpam-4378	80	2	pure	pure	PROPN
ejpam-4378	80	3	appl	appl	PROPN
ejpam-4378	80	4	.	.	PROPN
ejpam-4378	80	5	math	math	PROPN
ejpam-4378	80	6	,	,	PUNCT
ejpam-4378	80	7	15	15	NUM
ejpam-4378	80	8	(	(	PUNCT
ejpam-4378	80	9	3	3	NUM
ejpam-4378	80	10	)	)	PUNCT
ejpam-4378	80	11	(	(	PUNCT
ejpam-4378	80	12	2022	2022	NUM
ejpam-4378	80	13	)	)	PUNCT
ejpam-4378	80	14	,	,	PUNCT
ejpam-4378	80	15	897	897	NUM
ejpam-4378	80	16	-	-	SYM
ejpam-4378	80	17	915	915	NUM
ejpam-4378	80	18	900	900	NUM
ejpam-4378	80	19	θ	θ	NOUN
ejpam-4378	80	20	;	;	PUNCT
ejpam-4378	80	21	each	each	DET
ejpam-4378	80	22	computer	computer	NOUN
ejpam-4378	80	23	in	in	ADP
ejpam-4378	80	24	the	the	DET
ejpam-4378	80	25	l	l	NOUN
ejpam-4378	80	26	-	-	NOUN
ejpam-4378	80	27	compartment	compartment	NOUN
ejpam-4378	80	28	breaks	break	NOUN
ejpam-4378	80	29	down	down	ADP
ejpam-4378	80	30	with	with	ADP
ejpam-4378	80	31	α	α	NOUN
ejpam-4378	80	32	;	;	PUNCT
ejpam-4378	80	33	each	each	DET
ejpam-4378	80	34	computer	computer	NOUN
ejpam-4378	80	35	in	in	ADP
ejpam-4378	80	36	the	the	DET
ejpam-4378	80	37	rcompartment	rcompartment	NOUN
ejpam-4378	80	38	loses	lose	VERB
ejpam-4378	80	39	potential	potential	ADJ
ejpam-4378	80	40	protection	protection	NOUN
ejpam-4378	80	41	η	η	PROPN
ejpam-4378	80	42	;	;	PUNCT
ejpam-4378	80	43	because	because	SCONJ
ejpam-4378	80	44	of	of	ADP
ejpam-4378	80	45	fixing	fix	VERB
ejpam-4378	80	46	and	and	CCONJ
ejpam-4378	80	47	modernizing	modernize	VERB
ejpam-4378	80	48	the	the	DET
ejpam-4378	80	49	antivirus	antivirus	NOUN
ejpam-4378	80	50	software	software	NOUN
ejpam-4378	80	51	well	well	ADV
ejpam-4378	80	52	-	-	PUNCT
ejpam-4378	80	53	timed	time	VERB
ejpam-4378	80	54	,	,	PUNCT
ejpam-4378	80	55	each	each	DET
ejpam-4378	80	56	computer	computer	NOUN
ejpam-4378	80	57	on	on	ADP
ejpam-4378	80	58	the	the	DET
ejpam-4378	80	59	internet	internet	NOUN
ejpam-4378	80	60	is	be	AUX
ejpam-4378	80	61	likely	likely	ADJ
ejpam-4378	80	62	to	to	PART
ejpam-4378	80	63	receive	receive	VERB
ejpam-4378	80	64	γ1	γ1	NOUN
ejpam-4378	80	65	.	.	PUNCT
ejpam-4378	81	1	as	as	ADP
ejpam-4378	81	2	a	a	DET
ejpam-4378	81	3	result	result	NOUN
ejpam-4378	81	4	of	of	ADP
ejpam-4378	81	5	re	re	VERB
ejpam-4378	81	6	-	-	VERB
ejpam-4378	81	7	installing	instal	VERB
ejpam-4378	81	8	the	the	DET
ejpam-4378	81	9	operating	operating	NOUN
ejpam-4378	81	10	system	system	NOUN
ejpam-4378	81	11	,	,	PUNCT
ejpam-4378	81	12	each	each	DET
ejpam-4378	81	13	computer	computer	NOUN
ejpam-4378	81	14	in	in	ADP
ejpam-4378	81	15	room	room	NOUN
ejpam-4378	81	16	l	l	PROPN
ejpam-4378	81	17	(	(	PUNCT
ejpam-4378	81	18	or	or	CCONJ
ejpam-4378	81	19	b	b	X
ejpam-4378	81	20	)	)	PUNCT
ejpam-4378	81	21	is	be	AUX
ejpam-4378	81	22	at	at	ADP
ejpam-4378	81	23	risk	risk	NOUN
ejpam-4378	81	24	of	of	ADP
ejpam-4378	81	25	chance	chance	NOUN
ejpam-4378	81	26	γ2	γ2	NOUN
ejpam-4378	81	27	or	or	CCONJ
ejpam-4378	81	28	γ3	γ3	NOUN
ejpam-4378	81	29	,	,	PUNCT
ejpam-4378	81	30	the	the	DET
ejpam-4378	81	31	actual	actual	ADJ
ejpam-4378	81	32	complete	complete	ADJ
ejpam-4378	81	33	order	order	NOUN
ejpam-4378	81	34	model	model	NOUN
ejpam-4378	81	35	obtained	obtain	VERB
ejpam-4378	81	36	from	from	ADP
ejpam-4378	81	37	[	[	X
ejpam-4378	81	38	41	41	NUM
ejpam-4378	81	39	]	]	PUNCT
ejpam-4378	81	40	.	.	PUNCT
ejpam-4378	82	1	we	we	PRON
ejpam-4378	82	2	have	have	AUX
ejpam-4378	82	3	following	follow	VERB
ejpam-4378	82	4	system	system	NOUN
ejpam-4378	82	5	of	of	ADP
ejpam-4378	82	6	differential	differential	NOUN
ejpam-4378	82	7	equations	equations	NUM
ejpam-4378	82	8	ds	ds	ADJ
ejpam-4378	82	9	dt	dt	NOUN
ejpam-4378	82	10	=	=	SYM
ejpam-4378	82	11	b1	b1	NOUN
ejpam-4378	82	12	+	+	CCONJ
ejpam-4378	82	13	γ2l+	γ2l+	NOUN
ejpam-4378	82	14	γ3b	γ3b	PRON
ejpam-4378	82	15	+	+	CCONJ
ejpam-4378	82	16	ηr−	ηr−	PRON
ejpam-4378	82	17	µs	µs	PUNCT
ejpam-4378	82	18	−	−	NOUN
ejpam-4378	82	19	γ1s	γ1s	NOUN
ejpam-4378	82	20	−	−	NOUN
ejpam-4378	82	21	β1ls	β1ls	PUNCT
ejpam-4378	82	22	−	−	PROPN
ejpam-4378	82	23	β2bs	β2bs	PUNCT
ejpam-4378	82	24	−	−	PROPN
ejpam-4378	82	25	θs	θ	NOUN
ejpam-4378	82	26	,	,	PUNCT
ejpam-4378	82	27	dl	dl	PROPN
ejpam-4378	82	28	dt	dt	NOUN
ejpam-4378	82	29	=	=	PROPN
ejpam-4378	82	30	b2	b2	PROPN
ejpam-4378	82	31	+	+	CCONJ
ejpam-4378	82	32	β1ls	β1ls	PUNCT
ejpam-4378	82	33	+	+	CCONJ
ejpam-4378	82	34	β2bs	β2bs	PUNCT
ejpam-4378	82	35	+	+	NUM
ejpam-4378	82	36	θs	θ	NOUN
ejpam-4378	82	37	−	−	NOUN
ejpam-4378	82	38	γ1l−	γ1l−	PROPN
ejpam-4378	82	39	γ2l−	γ2l−	PROPN
ejpam-4378	82	40	µl−	µl−	SYM
ejpam-4378	82	41	αl	αl	ADP
ejpam-4378	82	42	,	,	PUNCT
ejpam-4378	82	43	db	db	PRON
ejpam-4378	82	44	dt	dt	NOUN
ejpam-4378	82	45	=	=	PROPN
ejpam-4378	82	46	b3	b3	PROPN
ejpam-4378	82	47	+	+	CCONJ
ejpam-4378	82	48	αl−	αl−	PUNCT
ejpam-4378	82	49	µb	µb	ADP
ejpam-4378	82	50	−	−	NOUN
ejpam-4378	82	51	γ1b	γ1b	ADP
ejpam-4378	82	52	−	−	PROPN
ejpam-4378	82	53	γ3b	γ3b	NOUN
ejpam-4378	82	54	,	,	PUNCT
ejpam-4378	82	55	dr	dr	PROPN
ejpam-4378	83	1	dt	dt	PROPN
ejpam-4378	83	2	=	=	PROPN
ejpam-4378	83	3	b4	b4	PROPN
ejpam-4378	83	4	+	+	CCONJ
ejpam-4378	83	5	γ1s	γ1s	NOUN
ejpam-4378	83	6	+	+	CCONJ
ejpam-4378	83	7	γ1l+	γ1l+	NOUN
ejpam-4378	83	8	γ1b	γ1b	NOUN
ejpam-4378	83	9	−	−	X
ejpam-4378	83	10	ηr−	ηr−	PROPN
ejpam-4378	83	11	µr	µr	ADP
ejpam-4378	83	12	.	.	PUNCT
ejpam-4378	84	1	(	(	PUNCT
ejpam-4378	84	2	5	5	X
ejpam-4378	84	3	)	)	PUNCT
ejpam-4378	84	4	we	we	PRON
ejpam-4378	84	5	can	can	AUX
ejpam-4378	84	6	express	express	VERB
ejpam-4378	84	7	the	the	DET
ejpam-4378	84	8	above	above	ADJ
ejpam-4378	84	9	system	system	NOUN
ejpam-4378	84	10	in	in	ADP
ejpam-4378	84	11	abc	abc	PROPN
ejpam-4378	84	12	fractional	fractional	ADJ
ejpam-4378	84	13	order	order	NOUN
ejpam-4378	84	14	form	form	NOUN
ejpam-4378	84	15	as:	as:	NUM
ejpam-4378	85	1	abc	abc	PROPN
ejpam-4378	85	2	0d	0d	PROPN
ejpam-4378	85	3	α	α	PROPN
ejpam-4378	85	4	t	t	PROPN
ejpam-4378	85	5	s(t	s(t	PROPN
ejpam-4378	85	6	)	)	PUNCT
ejpam-4378	86	1	=	=	PUNCT
ejpam-4378	86	2	b1	b1	NOUN
ejpam-4378	86	3	+	+	CCONJ
ejpam-4378	86	4	γ2l+	γ2l+	NOUN
ejpam-4378	86	5	γ3b	γ3b	PRON
ejpam-4378	86	6	+	+	CCONJ
ejpam-4378	86	7	ηr−	ηr−	PRON
ejpam-4378	86	8	µs	µs	PUNCT
ejpam-4378	86	9	−	−	NOUN
ejpam-4378	86	10	γ1s	γ1s	NOUN
ejpam-4378	86	11	−	−	NOUN
ejpam-4378	86	12	β1ls	β1ls	PUNCT
ejpam-4378	86	13	−	−	PROPN
ejpam-4378	86	14	β2bs	β2bs	PUNCT
ejpam-4378	86	15	−	−	PROPN
ejpam-4378	86	16	θs	θ	NOUN
ejpam-4378	86	17	,	,	PUNCT
ejpam-4378	86	18	abc	abc	PROPN
ejpam-4378	86	19	0d	0d	PROPN
ejpam-4378	86	20	α	α	PROPN
ejpam-4378	86	21	t	t	PROPN
ejpam-4378	86	22	l(t	l(t	PROPN
ejpam-4378	86	23	)	)	PUNCT
ejpam-4378	86	24	=	=	SYM
ejpam-4378	86	25	b2	b2	NOUN
ejpam-4378	86	26	+	+	CCONJ
ejpam-4378	86	27	β1ls	β1ls	PUNCT
ejpam-4378	86	28	+	+	CCONJ
ejpam-4378	86	29	β2bs	β2bs	PUNCT
ejpam-4378	86	30	+	+	NUM
ejpam-4378	86	31	θs	θ	NOUN
ejpam-4378	86	32	−	−	NOUN
ejpam-4378	86	33	γ1l−	γ1l−	PROPN
ejpam-4378	86	34	γ2l−	γ2l−	PROPN
ejpam-4378	86	35	µl−	µl−	SYM
ejpam-4378	86	36	αl	αl	PROPN
ejpam-4378	86	37	,	,	PUNCT
ejpam-4378	86	38	abc	abc	PROPN
ejpam-4378	86	39	0d	0d	PROPN
ejpam-4378	86	40	α	α	PROPN
ejpam-4378	86	41	t	t	PROPN
ejpam-4378	86	42	b(t	b(t	PROPN
ejpam-4378	86	43	)	)	PUNCT
ejpam-4378	86	44	=	=	PROPN
ejpam-4378	86	45	b3	b3	PROPN
ejpam-4378	86	46	+	+	CCONJ
ejpam-4378	86	47	αl−	αl−	PUNCT
ejpam-4378	86	48	µb	µb	ADP
ejpam-4378	86	49	−	−	NOUN
ejpam-4378	86	50	γ1b	γ1b	ADP
ejpam-4378	86	51	−	−	PROPN
ejpam-4378	86	52	γ3b	γ3b	NOUN
ejpam-4378	86	53	,	,	PUNCT
ejpam-4378	86	54	abc	abc	PROPN
ejpam-4378	86	55	0d	0d	PROPN
ejpam-4378	86	56	α	α	PROPN
ejpam-4378	86	57	t	t	PROPN
ejpam-4378	86	58	r(t	r(t	NOUN
ejpam-4378	86	59	)	)	PUNCT
ejpam-4378	87	1	=	=	SYM
ejpam-4378	87	2	b4	b4	NOUN
ejpam-4378	87	3	+	+	CCONJ
ejpam-4378	87	4	γ1s	γ1s	NOUN
ejpam-4378	87	5	+	+	CCONJ
ejpam-4378	87	6	γ1l+	γ1l+	NOUN
ejpam-4378	87	7	γ1b	γ1b	NOUN
ejpam-4378	87	8	−	−	X
ejpam-4378	87	9	ηr−	ηr−	PROPN
ejpam-4378	87	10	µr	µr	ADP
ejpam-4378	87	11	.	.	PUNCT
ejpam-4378	87	12	(	(	PUNCT
ejpam-4378	87	13	6	6	NUM
ejpam-4378	87	14	)	)	PUNCT
ejpam-4378	87	15	with	with	ADP
ejpam-4378	87	16	given	give	VERB
ejpam-4378	87	17	initial	initial	ADJ
ejpam-4378	87	18	conditions	condition	NOUN
ejpam-4378	87	19	s(0	s(0	PROPN
ejpam-4378	87	20	)	)	PUNCT
ejpam-4378	87	21	,	,	PUNCT
ejpam-4378	87	22	l(0	l(0	PROPN
ejpam-4378	87	23	)	)	PUNCT
ejpam-4378	87	24	,	,	PUNCT
ejpam-4378	87	25	b(0	b(0	PROPN
ejpam-4378	87	26	)	)	PUNCT
ejpam-4378	87	27	,	,	PUNCT
ejpam-4378	87	28	r(0	r(0	PROPN
ejpam-4378	87	29	)	)	PUNCT
ejpam-4378	87	30	≥	≥	NOUN
ejpam-4378	87	31	0	0	NUM
ejpam-4378	87	32	(	(	PUNCT
ejpam-4378	87	33	7	7	NUM
ejpam-4378	87	34	)	)	PUNCT
ejpam-4378	87	35	3.1	3.1	NUM
ejpam-4378	87	36	.	.	PUNCT
ejpam-4378	88	1	analysis	analysis	NOUN
ejpam-4378	88	2	of	of	ADP
ejpam-4378	88	3	the	the	DET
ejpam-4378	88	4	model	model	NOUN
ejpam-4378	88	5	:	:	PUNCT
ejpam-4378	88	6	theorem	theorem	NOUN
ejpam-4378	88	7	1	1	NUM
ejpam-4378	88	8	.	.	PUNCT
ejpam-4378	89	1	the	the	DET
ejpam-4378	89	2	solution	solution	NOUN
ejpam-4378	89	3	of	of	ADP
ejpam-4378	89	4	the	the	DET
ejpam-4378	89	5	proposed	propose	VERB
ejpam-4378	89	6	system	system	NOUN
ejpam-4378	89	7	(	(	PUNCT
ejpam-4378	89	8	6	6	NUM
ejpam-4378	89	9	)	)	PUNCT
ejpam-4378	89	10	is	be	AUX
ejpam-4378	89	11	bounded	bound	VERB
ejpam-4378	89	12	and	and	CCONJ
ejpam-4378	89	13	unique	unique	ADJ
ejpam-4378	89	14	in	in	ADP
ejpam-4378	89	15	r4	r4	NOUN
ejpam-4378	89	16	+	+	CCONJ
ejpam-4378	89	17	according	accord	VERB
ejpam-4378	89	18	to	to	ADP
ejpam-4378	89	19	initial	initial	ADJ
ejpam-4378	89	20	conditions	condition	NOUN
ejpam-4378	89	21	.	.	PUNCT
ejpam-4378	90	1	proof	proof	NOUN
ejpam-4378	90	2	.	.	PUNCT
ejpam-4378	91	1	the	the	DET
ejpam-4378	91	2	existence	existence	NOUN
ejpam-4378	91	3	and	and	CCONJ
ejpam-4378	91	4	uniqueness	uniqueness	NOUN
ejpam-4378	91	5	of	of	ADP
ejpam-4378	91	6	the	the	DET
ejpam-4378	91	7	solution	solution	NOUN
ejpam-4378	91	8	of	of	ADP
ejpam-4378	91	9	system	system	NOUN
ejpam-4378	91	10	of	of	ADP
ejpam-4378	91	11	the	the	DET
ejpam-4378	91	12	equations	equation	NOUN
ejpam-4378	91	13	(	(	PUNCT
ejpam-4378	91	14	6	6	NUM
ejpam-4378	91	15	)	)	PUNCT
ejpam-4378	91	16	on	on	ADP
ejpam-4378	91	17	the	the	DET
ejpam-4378	91	18	time	time	NOUN
ejpam-4378	91	19	interval	interval	NOUN
ejpam-4378	91	20	(	(	PUNCT
ejpam-4378	91	21	0,∞	0,∞	NOUN
ejpam-4378	91	22	)	)	PUNCT
ejpam-4378	91	23	can	can	AUX
ejpam-4378	91	24	be	be	AUX
ejpam-4378	91	25	obtained	obtain	VERB
ejpam-4378	91	26	in	in	ADP
ejpam-4378	91	27	the	the	DET
ejpam-4378	91	28	region	region	NOUN
ejpam-4378	91	29	r4	r4	NOUN
ejpam-4378	91	30	+	+	CCONJ
ejpam-4378	91	31	is	be	AUX
ejpam-4378	91	32	positively	positively	ADV
ejpam-4378	91	33	invariant	invariant	ADJ
ejpam-4378	91	34	.	.	PUNCT
ejpam-4378	92	1	from	from	ADP
ejpam-4378	92	2	model	model	NOUN
ejpam-4378	92	3	of	of	ADP
ejpam-4378	92	4	system	system	NOUN
ejpam-4378	92	5	of	of	ADP
ejpam-4378	92	6	the	the	DET
ejpam-4378	92	7	equations	equation	NOUN
ejpam-4378	92	8	(	(	PUNCT
ejpam-4378	92	9	6	6	NUM
ejpam-4378	92	10	)	)	PUNCT
ejpam-4378	92	11	,	,	PUNCT
ejpam-4378	92	12	we	we	PRON
ejpam-4378	92	13	find	find	PROPN
ejpam-4378	92	14	abc	abc	PROPN
ejpam-4378	92	15	0d	0d	PROPN
ejpam-4378	93	1	α	α	PROPN
ejpam-4378	93	2	t	t	X
ejpam-4378	93	3	s(t)|s=0	s(t)|s=0	PROPN
ejpam-4378	93	4	=	=	SYM
ejpam-4378	93	5	b1	b1	PROPN
ejpam-4378	93	6	+	+	CCONJ
ejpam-4378	93	7	γ2l+	γ2l+	NOUN
ejpam-4378	93	8	γ3b	γ3b	PRON
ejpam-4378	93	9	+	+	CCONJ
ejpam-4378	93	10	ηr	ηr	X
ejpam-4378	93	11	≥	≥	NUM
ejpam-4378	93	12	0	0	NUM
ejpam-4378	93	13	,	,	PUNCT
ejpam-4378	93	14	abc	abc	PROPN
ejpam-4378	93	15	0d	0d	PROPN
ejpam-4378	94	1	α	α	PROPN
ejpam-4378	94	2	t	t	X
ejpam-4378	94	3	l(t)|l=0	l(t)|l=0	PROPN
ejpam-4378	94	4	=	=	PUNCT
ejpam-4378	94	5	b2	b2	PROPN
ejpam-4378	94	6	+	+	CCONJ
ejpam-4378	94	7	β2bs	β2bs	PUNCT
ejpam-4378	94	8	+	+	CCONJ
ejpam-4378	94	9	θs	θs	PRON
ejpam-4378	94	10	≥	≥	PROPN
ejpam-4378	94	11	0	0	NUM
ejpam-4378	94	12	,	,	PUNCT
ejpam-4378	94	13	abc	abc	PROPN
ejpam-4378	94	14	0d	0d	PROPN
ejpam-4378	94	15	α	α	PROPN
ejpam-4378	94	16	t	t	PROPN
ejpam-4378	94	17	b(t)|b=0	b(t)|b=0	PROPN
ejpam-4378	94	18	=	=	PROPN
ejpam-4378	94	19	b3	b3	PROPN
ejpam-4378	94	20	+	+	CCONJ
ejpam-4378	94	21	αl	αl	ADP
ejpam-4378	94	22	≥	≥	NOUN
ejpam-4378	94	23	0	0	NUM
ejpam-4378	94	24	,	,	PUNCT
ejpam-4378	94	25	abc	abc	PROPN
ejpam-4378	95	1	0d	0d	PROPN
ejpam-4378	95	2	α	α	PROPN
ejpam-4378	95	3	t	t	PROPN
ejpam-4378	95	4	r(t)|r=0	r(t)|r=0	PROPN
ejpam-4378	95	5	=	=	SYM
ejpam-4378	95	6	b4	b4	NOUN
ejpam-4378	95	7	+	+	CCONJ
ejpam-4378	95	8	γ1s	γ1s	NOUN
ejpam-4378	95	9	+	+	CCONJ
ejpam-4378	95	10	γ1l+	γ1l+	NOUN
ejpam-4378	95	11	γ1b	γ1b	NOUN
ejpam-4378	95	12	≥	≥	NOUN
ejpam-4378	95	13	0	0	NUM
ejpam-4378	95	14	.	.	PUNCT
ejpam-4378	96	1	(	(	PUNCT
ejpam-4378	96	2	8)	8)	NUM
ejpam-4378	96	3	if	if	SCONJ
ejpam-4378	96	4	{	{	PUNCT
ejpam-4378	96	5	s(0	s(0	PROPN
ejpam-4378	96	6	)	)	PUNCT
ejpam-4378	96	7	,	,	PUNCT
ejpam-4378	96	8	l(0	l(0	PROPN
ejpam-4378	96	9	)	)	PUNCT
ejpam-4378	96	10	,	,	PUNCT
ejpam-4378	96	11	b(0	b(0	PROPN
ejpam-4378	96	12	)	)	PUNCT
ejpam-4378	96	13	,	,	PUNCT
ejpam-4378	96	14	r(0	r(0	PROPN
ejpam-4378	96	15	)	)	PUNCT
ejpam-4378	96	16	}	}	PUNCT
ejpam-4378	96	17	∈	∈	PROPN
ejpam-4378	96	18	r4	r4	NOUN
ejpam-4378	97	1	+	+	ADV
ejpam-4378	97	2	,	,	PUNCT
ejpam-4378	97	3	then	then	ADV
ejpam-4378	97	4	according	accord	VERB
ejpam-4378	97	5	to	to	ADP
ejpam-4378	97	6	above	above	ADJ
ejpam-4378	97	7	equations	equation	NOUN
ejpam-4378	97	8	,	,	PUNCT
ejpam-4378	97	9	the	the	DET
ejpam-4378	97	10	solution	solution	NOUN
ejpam-4378	97	11	{	{	PUNCT
ejpam-4378	97	12	s(t	s(t	PROPN
ejpam-4378	97	13	)	)	PUNCT
ejpam-4378	97	14	,	,	PUNCT
ejpam-4378	97	15	l(t	l(t	PROPN
ejpam-4378	97	16	)	)	PUNCT
ejpam-4378	97	17	,	,	PUNCT
ejpam-4378	97	18	b(t	b(t	PROPN
ejpam-4378	97	19	)	)	PUNCT
ejpam-4378	97	20	,	,	PUNCT
ejpam-4378	97	21	r(t	r(t	NOUN
ejpam-4378	97	22	)	)	PUNCT
ejpam-4378	97	23	}	}	PUNCT
ejpam-4378	97	24	can	can	AUX
ejpam-4378	97	25	not	not	PART
ejpam-4378	97	26	escape	escape	VERB
ejpam-4378	97	27	from	from	ADP
ejpam-4378	97	28	the	the	DET
ejpam-4378	97	29	hyperplanes	hyperplane	NOUN
ejpam-4378	97	30	s	s	PART
ejpam-4378	97	31	=	=	SYM
ejpam-4378	97	32	0	0	NUM
ejpam-4378	97	33	,	,	PUNCT
ejpam-4378	97	34	l	l	NOUN
ejpam-4378	97	35	=	=	SYM
ejpam-4378	97	36	0	0	NUM
ejpam-4378	97	37	,	,	PUNCT
ejpam-4378	97	38	b	b	X
ejpam-4378	97	39	=	=	SYM
ejpam-4378	97	40	0	0	NUM
ejpam-4378	97	41	and	and	CCONJ
ejpam-4378	97	42	r	r	NOUN
ejpam-4378	97	43	=	=	SYM
ejpam-4378	97	44	0	0	NUM
ejpam-4378	97	45	.	.	PUNCT
ejpam-4378	97	46	solution	solution	NOUN
ejpam-4378	97	47	’s	’s	PART
ejpam-4378	97	48	lie	lie	NOUN
ejpam-4378	97	49	in	in	ADP
ejpam-4378	97	50	the	the	DET
ejpam-4378	97	51	domain	domain	NOUN
ejpam-4378	97	52	r4	r4	NOUN
ejpam-4378	97	53	+	+	CCONJ
ejpam-4378	97	54	is	be	AUX
ejpam-4378	97	55	a	a	DET
ejpam-4378	97	56	positively	positively	ADV
ejpam-4378	97	57	invariant	invariant	ADJ
ejpam-4378	97	58	set	set	NOUN
ejpam-4378	97	59	.	.	PUNCT
ejpam-4378	98	1	theorem	theorem	VERB
ejpam-4378	98	2	2	2	NUM
ejpam-4378	98	3	.	.	PUNCT
ejpam-4378	99	1	the	the	DET
ejpam-4378	99	2	region	region	NOUN
ejpam-4378	99	3	a	a	DET
ejpam-4378	99	4	=	=	NOUN
ejpam-4378	99	5	{	{	PUNCT
ejpam-4378	99	6	abc	abc	PROPN
ejpam-4378	99	7	0d	0d	PROPN
ejpam-4378	99	8	α	α	PROPN
ejpam-4378	99	9	t	t	PROPN
ejpam-4378	99	10	s(t	s(t	PROPN
ejpam-4378	99	11	)	)	PUNCT
ejpam-4378	99	12	,	,	PUNCT
ejpam-4378	99	13	abc	abc	PROPN
ejpam-4378	99	14	0d	0d	PROPN
ejpam-4378	99	15	α	α	PROPN
ejpam-4378	99	16	t	t	PROPN
ejpam-4378	99	17	l(t	l(t	PROPN
ejpam-4378	99	18	)	)	PUNCT
ejpam-4378	99	19	,	,	PUNCT
ejpam-4378	99	20	abc	abc	PROPN
ejpam-4378	99	21	0d	0d	PROPN
ejpam-4378	99	22	α	α	PROPN
ejpam-4378	99	23	t	t	PROPN
ejpam-4378	99	24	b(t),abc	b(t),abc	PROPN
ejpam-4378	99	25	0d	0d	PROPN
ejpam-4378	99	26	α	α	PROPN
ejpam-4378	99	27	t	t	PROPN
ejpam-4378	99	28	r(t	r(t	NOUN
ejpam-4378	99	29	)	)	PUNCT
ejpam-4378	99	30	∈	∈	PROPN
ejpam-4378	99	31	r4	r4	NOUN
ejpam-4378	99	32	+	+	NOUN
ejpam-4378	99	33	|0	|0	NUM
ejpam-4378	99	34	and	and	CCONJ
ejpam-4378	99	35	abc	abc	PROPN
ejpam-4378	99	36	0d	0d	PROPN
ejpam-4378	99	37	α	α	PROPN
ejpam-4378	99	38	t	t	PROPN
ejpam-4378	99	39	s(t	s(t	PROPN
ejpam-4378	99	40	)	)	PUNCT
ejpam-4378	100	1	+	+	CCONJ
ejpam-4378	100	2	abc	abc	PROPN
ejpam-4378	100	3	0d	0d	PROPN
ejpam-4378	100	4	α	α	PROPN
ejpam-4378	100	5	t	t	PROPN
ejpam-4378	100	6	l(t	l(t	PROPN
ejpam-4378	100	7	)	)	PUNCT
ejpam-4378	101	1	+	+	CCONJ
ejpam-4378	101	2	abc	abc	PROPN
ejpam-4378	101	3	0d	0d	PROPN
ejpam-4378	101	4	α	α	PROPN
ejpam-4378	101	5	t	t	PROPN
ejpam-4378	101	6	b(t	b(t	PROPN
ejpam-4378	101	7	)	)	PUNCT
ejpam-4378	102	1	+	+	ADP
ejpam-4378	102	2	abc	abc	PROPN
ejpam-4378	102	3	0d	0d	X
ejpam-4378	102	4	α	α	PROPN
ejpam-4378	102	5	t	t	PROPN
ejpam-4378	102	6	r(t	r(t	NOUN
ejpam-4378	102	7	)	)	PUNCT
ejpam-4378	103	1	≤	≤	PUNCT
ejpam-4378	103	2	λ	λ	PROPN
ejpam-4378	103	3	µ	µ	X
ejpam-4378	103	4	}	}	PUNCT
ejpam-4378	103	5	is	be	AUX
ejpam-4378	103	6	a	a	DET
ejpam-4378	103	7	positive	positive	ADJ
ejpam-4378	103	8	invariant	invariant	ADJ
ejpam-4378	103	9	set	set	NOUN
ejpam-4378	103	10	for	for	ADP
ejpam-4378	103	11	the	the	DET
ejpam-4378	103	12	system	system	NOUN
ejpam-4378	103	13	(	(	PUNCT
ejpam-4378	103	14	6	6	NUM
ejpam-4378	103	15	)	)	PUNCT
ejpam-4378	103	16	.	.	PUNCT
ejpam-4378	104	1	j.	j.	PROPN
ejpam-4378	104	2	asad	asad	PROPN
ejpam-4378	104	3	et	et	PROPN
ejpam-4378	104	4	al	al	PROPN
ejpam-4378	104	5	.	.	PUNCT
ejpam-4378	104	6	/	/	SYM
ejpam-4378	104	7	eur	eur	PROPN
ejpam-4378	104	8	.	.	PUNCT
ejpam-4378	105	1	j.	j.	PROPN
ejpam-4378	105	2	pure	pure	PROPN
ejpam-4378	105	3	appl	appl	PROPN
ejpam-4378	105	4	.	.	PROPN
ejpam-4378	105	5	math	math	PROPN
ejpam-4378	105	6	,	,	PUNCT
ejpam-4378	105	7	15	15	NUM
ejpam-4378	105	8	(	(	PUNCT
ejpam-4378	105	9	3	3	NUM
ejpam-4378	105	10	)	)	PUNCT
ejpam-4378	105	11	(	(	PUNCT
ejpam-4378	105	12	2022	2022	NUM
ejpam-4378	105	13	)	)	PUNCT
ejpam-4378	105	14	,	,	PUNCT
ejpam-4378	105	15	897	897	NUM
ejpam-4378	105	16	-	-	SYM
ejpam-4378	105	17	915	915	NUM
ejpam-4378	105	18	901	901	NUM
ejpam-4378	105	19	proof	proof	NOUN
ejpam-4378	105	20	.	.	PUNCT
ejpam-4378	106	1	for	for	ADP
ejpam-4378	106	2	the	the	DET
ejpam-4378	106	3	verification	verification	NOUN
ejpam-4378	106	4	of	of	ADP
ejpam-4378	106	5	the	the	DET
ejpam-4378	106	6	results	result	NOUN
ejpam-4378	106	7	used	use	VERB
ejpam-4378	106	8	the	the	DET
ejpam-4378	106	9	system	system	NOUN
ejpam-4378	106	10	(	(	PUNCT
ejpam-4378	106	11	6	6	NUM
ejpam-4378	106	12	)	)	PUNCT
ejpam-4378	106	13	,	,	PUNCT
ejpam-4378	106	14	we	we	PRON
ejpam-4378	106	15	have	have	VERB
ejpam-4378	106	16	abc	abc	PROPN
ejpam-4378	106	17	0d	0d	PROPN
ejpam-4378	106	18	α	α	PROPN
ejpam-4378	106	19	t	t	PROPN
ejpam-4378	106	20	n(t	n(t	PROPN
ejpam-4378	106	21	)	)	PUNCT
ejpam-4378	106	22	=	=	PRON
ejpam-4378	106	23	(	(	PUNCT
ejpam-4378	106	24	b1	b1	NOUN
ejpam-4378	106	25	+	+	CCONJ
ejpam-4378	106	26	b2	b2	NOUN
ejpam-4378	106	27	+	+	CCONJ
ejpam-4378	106	28	b3	b3	PROPN
ejpam-4378	106	29	+	+	CCONJ
ejpam-4378	106	30	b4)−	b4)−	NOUN
ejpam-4378	106	31	µn(t	µn(t	PUNCT
ejpam-4378	106	32	)	)	PUNCT
ejpam-4378	106	33	let	let	VERB
ejpam-4378	106	34	λ	λ	X
ejpam-4378	106	35	=	=	PRON
ejpam-4378	106	36	(	(	PUNCT
ejpam-4378	106	37	b1	b1	NOUN
ejpam-4378	106	38	+	+	CCONJ
ejpam-4378	106	39	b2	b2	NOUN
ejpam-4378	106	40	+	+	CCONJ
ejpam-4378	106	41	b3	b3	PROPN
ejpam-4378	106	42	+	+	CCONJ
ejpam-4378	106	43	b4	b4	NOUN
ejpam-4378	106	44	)	)	PUNCT
ejpam-4378	106	45	,	,	PUNCT
ejpam-4378	106	46	then	then	ADV
ejpam-4378	106	47	abc	abc	PROPN
ejpam-4378	106	48	0d	0d	PROPN
ejpam-4378	106	49	α	α	PROPN
ejpam-4378	106	50	t	t	PROPN
ejpam-4378	106	51	n(t	n(t	PROPN
ejpam-4378	106	52	)	)	PUNCT
ejpam-4378	106	53	=	=	SYM
ejpam-4378	106	54	λ−	λ−	PROPN
ejpam-4378	106	55	µn(t	µn(t	PUNCT
ejpam-4378	106	56	)	)	PUNCT
ejpam-4378	106	57	using	use	VERB
ejpam-4378	106	58	the	the	DET
ejpam-4378	106	59	laplace	laplace	NOUN
ejpam-4378	106	60	transformation	transformation	NOUN
ejpam-4378	106	61	,	,	PUNCT
ejpam-4378	106	62	we	we	PRON
ejpam-4378	106	63	get	get	VERB
ejpam-4378	106	64	sαn(t)−	sαn(t)−	PROPN
ejpam-4378	106	65	sα−1n(0	sα−1n(0	PROPN
ejpam-4378	106	66	)	)	PUNCT
ejpam-4378	106	67	=	=	PUNCT
ejpam-4378	107	1	λ	λ	X
ejpam-4378	107	2	s	s	PART
ejpam-4378	107	3	−	−	NOUN
ejpam-4378	107	4	µn(s	µn(s	NUM
ejpam-4378	107	5	)	)	PUNCT
ejpam-4378	107	6	which	which	PRON
ejpam-4378	107	7	further	far	ADV
ejpam-4378	107	8	gives	give	VERB
ejpam-4378	107	9	n(s	n(s	PRON
ejpam-4378	107	10	)	)	PUNCT
ejpam-4378	107	11	=	=	PUNCT
ejpam-4378	107	12	s−1λ	s−1λ	PROPN
ejpam-4378	107	13	sα	sα	PROPN
ejpam-4378	107	14	+	+	ADJ
ejpam-4378	107	15	µ	µ	PRON
ejpam-4378	107	16	−	−	PROPN
ejpam-4378	107	17	sα−1n(0	sα−1n(0	PROPN
ejpam-4378	107	18	)	)	PUNCT
ejpam-4378	107	19	sα	sα	ADV
ejpam-4378	107	20	+	+	ADJ
ejpam-4378	107	21	µ	µ	NUM
ejpam-4378	107	22	from	from	ADP
ejpam-4378	107	23	equations	equation	NOUN
ejpam-4378	107	24	(	(	PUNCT
ejpam-4378	107	25	6	6	NUM
ejpam-4378	107	26	)	)	PUNCT
ejpam-4378	107	27	,	,	PUNCT
ejpam-4378	107	28	we	we	PRON
ejpam-4378	107	29	infer	infer	VERB
ejpam-4378	107	30	that	that	SCONJ
ejpam-4378	107	31	if	if	SCONJ
ejpam-4378	107	32	(	(	PUNCT
ejpam-4378	107	33	s0	s0	PROPN
ejpam-4378	107	34	,	,	PUNCT
ejpam-4378	107	35	l0	l0	PROPN
ejpam-4378	107	36	,	,	PUNCT
ejpam-4378	107	37	b0	b0	NOUN
ejpam-4378	107	38	,	,	PUNCT
ejpam-4378	107	39	r0	r0	NOUN
ejpam-4378	107	40	)	)	PUNCT
ejpam-4378	107	41	∈	∈	PROPN
ejpam-4378	107	42	r4	r4	NOUN
ejpam-4378	108	1	+	+	NOUN
ejpam-4378	108	2	,	,	PUNCT
ejpam-4378	108	3	then	then	ADV
ejpam-4378	108	4	n(t	n(t	NUM
ejpam-4378	108	5	)	)	PUNCT
ejpam-4378	109	1	=	=	SYM
ejpam-4378	109	2	λtαeα	λtαeα	VERB
ejpam-4378	109	3	,	,	PUNCT
ejpam-4378	109	4	α+1(−µtα	α+1(−µtα	NUM
ejpam-4378	109	5	)	)	PUNCT
ejpam-4378	110	1	+	+	NUM
ejpam-4378	110	2	eα,1(−µtα	eα,1(−µtα	NOUN
ejpam-4378	110	3	)	)	PUNCT
ejpam-4378	110	4	=	=	SYM
ejpam-4378	110	5	(	(	PUNCT
ejpam-4378	110	6	ω−	ω−	PROPN
ejpam-4378	110	7	δ	δ	PROPN
ejpam-4378	110	8	)	)	PUNCT
ejpam-4378	110	9	(	(	PUNCT
ejpam-4378	110	10	µtαeα	µtαeα	VERB
ejpam-4378	110	11	,	,	PUNCT
ejpam-4378	110	12	α+1(−µtα	α+1(−µtα	NUM
ejpam-4378	110	13	)	)	PUNCT
ejpam-4378	110	14	)	)	PUNCT
ejpam-4378	110	15	µ	µ	PRON
ejpam-4378	110	16	+	+	SYM
ejpam-4378	110	17	eα+1(−µtα	eα+1(−µtα	NOUN
ejpam-4378	110	18	)	)	PUNCT
ejpam-4378	110	19	≤	≤	NUM
ejpam-4378	110	20	λ	λ	PROPN
ejpam-4378	110	21	µγ(1	µγ(1	NOUN
ejpam-4378	110	22	)	)	PUNCT
ejpam-4378	110	23	≤	≤	NUM
ejpam-4378	110	24	λ	λ	PROPN
ejpam-4378	110	25	µ	µ	NOUN
ejpam-4378	110	26	and	and	CCONJ
ejpam-4378	110	27	≤	≤	NUM
ejpam-4378	110	28	(	(	PUNCT
ejpam-4378	110	29	b1	b1	NOUN
ejpam-4378	110	30	+	+	CCONJ
ejpam-4378	110	31	b2	b2	NOUN
ejpam-4378	110	32	+	+	CCONJ
ejpam-4378	110	33	b3	b3	PROPN
ejpam-4378	110	34	+	+	CCONJ
ejpam-4378	110	35	b4	b4	NOUN
ejpam-4378	110	36	)	)	PUNCT
ejpam-4378	110	37	µ	µ	NOUN
ejpam-4378	110	38	hence	hence	ADV
ejpam-4378	110	39	the	the	DET
ejpam-4378	110	40	solution	solution	NOUN
ejpam-4378	110	41	is	be	AUX
ejpam-4378	110	42	bounded	bound	VERB
ejpam-4378	110	43	in	in	ADP
ejpam-4378	110	44	the	the	DET
ejpam-4378	110	45	given	give	VERB
ejpam-4378	110	46	domain	domain	NOUN
ejpam-4378	110	47	for	for	ADP
ejpam-4378	110	48	sub	sub	NOUN
ejpam-4378	110	49	-	-	NOUN
ejpam-4378	110	50	compartments	compartment	NOUN
ejpam-4378	110	51	of	of	ADP
ejpam-4378	110	52	the	the	DET
ejpam-4378	110	53	system	system	NOUN
ejpam-4378	110	54	.	.	PUNCT
ejpam-4378	111	1	this	this	PRON
ejpam-4378	111	2	proved	prove	VERB
ejpam-4378	111	3	the	the	DET
ejpam-4378	111	4	results	result	NOUN
ejpam-4378	111	5	.	.	PUNCT
ejpam-4378	112	1	3.2	3.2	NUM
ejpam-4378	112	2	.	.	PUNCT
ejpam-4378	112	3	equilibrium	equilibrium	NOUN
ejpam-4378	112	4	point	point	NOUN
ejpam-4378	112	5	:	:	PUNCT
ejpam-4378	112	6	by	by	ADP
ejpam-4378	112	7	substituting	substitute	VERB
ejpam-4378	112	8	the	the	DET
ejpam-4378	112	9	left	left	ADJ
ejpam-4378	112	10	hand	hand	NOUN
ejpam-4378	112	11	side	side	NOUN
ejpam-4378	112	12	of	of	ADP
ejpam-4378	112	13	the	the	DET
ejpam-4378	112	14	system	system	NOUN
ejpam-4378	112	15	equal	equal	ADJ
ejpam-4378	112	16	to	to	ADP
ejpam-4378	112	17	zero	zero	NUM
ejpam-4378	112	18	,	,	PUNCT
ejpam-4378	112	19	we	we	PRON
ejpam-4378	112	20	get	get	VERB
ejpam-4378	112	21	equilibrium	equilibrium	NOUN
ejpam-4378	112	22	point	point	NOUN
ejpam-4378	112	23	of	of	ADP
ejpam-4378	112	24	the	the	DET
ejpam-4378	112	25	system	system	NOUN
ejpam-4378	112	26	.	.	PUNCT
ejpam-4378	113	1	let	let	VERB
ejpam-4378	114	1	abc	abc	PROPN
ejpam-4378	114	2	0d	0d	PROPN
ejpam-4378	114	3	α	α	PROPN
ejpam-4378	114	4	t	t	PROPN
ejpam-4378	114	5	n(t	n(t	PROPN
ejpam-4378	114	6	)	)	PUNCT
ejpam-4378	115	1	=	=	NOUN
ejpam-4378	115	2	abc	abc	PROPN
ejpam-4378	115	3	0d	0d	PROPN
ejpam-4378	115	4	α	α	PROPN
ejpam-4378	115	5	t	t	PROPN
ejpam-4378	115	6	s(t	s(t	PROPN
ejpam-4378	115	7	)	)	PUNCT
ejpam-4378	116	1	+	+	CCONJ
ejpam-4378	116	2	abc	abc	PROPN
ejpam-4378	116	3	0d	0d	PROPN
ejpam-4378	116	4	α	α	PROPN
ejpam-4378	116	5	t	t	PROPN
ejpam-4378	116	6	l(t	l(t	PROPN
ejpam-4378	116	7	)	)	PUNCT
ejpam-4378	117	1	+	+	CCONJ
ejpam-4378	117	2	abc	abc	PROPN
ejpam-4378	117	3	0d	0d	PROPN
ejpam-4378	117	4	α	α	PROPN
ejpam-4378	117	5	t	t	PROPN
ejpam-4378	117	6	b(t	b(t	PROPN
ejpam-4378	117	7	)	)	PUNCT
ejpam-4378	118	1	+	+	ADP
ejpam-4378	118	2	abc	abc	PROPN
ejpam-4378	118	3	0d	0d	X
ejpam-4378	118	4	α	α	PROPN
ejpam-4378	118	5	t	t	PROPN
ejpam-4378	118	6	r(t	r(t	NOUN
ejpam-4378	118	7	)	)	PUNCT
ejpam-4378	118	8	and	and	CCONJ
ejpam-4378	118	9	b	b	X
ejpam-4378	118	10	=	=	SYM
ejpam-4378	118	11	b1	b1	PROPN
ejpam-4378	118	12	+	+	CCONJ
ejpam-4378	118	13	b2	b2	NOUN
ejpam-4378	118	14	+	+	CCONJ
ejpam-4378	118	15	b3	b3	PROPN
ejpam-4378	118	16	+	+	CCONJ
ejpam-4378	118	17	b4	b4	NOUN
ejpam-4378	118	18	.	.	PUNCT
ejpam-4378	119	1	by	by	ADP
ejpam-4378	119	2	solving	solve	VERB
ejpam-4378	119	3	the	the	DET
ejpam-4378	119	4	system	system	NOUN
ejpam-4378	119	5	(	(	PUNCT
ejpam-4378	119	6	6	6	NUM
ejpam-4378	119	7	)	)	PUNCT
ejpam-4378	119	8	,	,	PUNCT
ejpam-4378	119	9	we	we	PRON
ejpam-4378	119	10	have	have	VERB
ejpam-4378	119	11	limt→∞n	limt→∞n	PROPN
ejpam-4378	119	12	=	=	SYM
ejpam-4378	119	13	n∗	n∗	PROPN
ejpam-4378	119	14	and	and	CCONJ
ejpam-4378	119	15	limt→∞r	limt→∞r	PROPN
ejpam-4378	119	16	=	=	SYM
ejpam-4378	119	17	r∗	r∗	PROPN
ejpam-4378	119	18	,	,	PUNCT
ejpam-4378	119	19	where	where	SCONJ
ejpam-4378	119	20	n∗	n∗	PROPN
ejpam-4378	119	21	=	=	SYM
ejpam-4378	119	22	b	b	PROPN
ejpam-4378	119	23	µ	µ	X
ejpam-4378	119	24	r∗	r∗	NOUN
ejpam-4378	119	25	=	=	PUNCT
ejpam-4378	119	26	µb4	µb4	NOUN
ejpam-4378	119	27	+	+	SYM
ejpam-4378	119	28	bγ1	bγ1	NOUN
ejpam-4378	119	29	µ(γ1	µ(γ1	NOUN
ejpam-4378	119	30	+	+	CCONJ
ejpam-4378	119	31	η	η	PROPN
ejpam-4378	119	32	+	+	PROPN
ejpam-4378	119	33	µ	µ	X
ejpam-4378	119	34	)	)	PUNCT
ejpam-4378	119	35	we	we	PRON
ejpam-4378	119	36	get	get	VERB
ejpam-4378	119	37	{	{	PUNCT
ejpam-4378	119	38	l̇	l̇	NOUN
ejpam-4378	119	39	=	=	PROPN
ejpam-4378	119	40	b2	b2	PROPN
ejpam-4378	119	41	+	+	CCONJ
ejpam-4378	119	42	(	(	PUNCT
ejpam-4378	119	43	β1l+	β1l+	ADV
ejpam-4378	119	44	β2b	β2b	PUNCT
ejpam-4378	120	1	+	+	NUM
ejpam-4378	120	2	θ)(n∗	θ)(n∗	NUM
ejpam-4378	120	3	−r∗	−r∗	NUM
ejpam-4378	120	4	−	−	PROPN
ejpam-4378	120	5	l−b)−	l−b)−	PROPN
ejpam-4378	120	6	(	(	PUNCT
ejpam-4378	120	7	γ1	γ1	NOUN
ejpam-4378	120	8	+	+	CCONJ
ejpam-4378	120	9	γ2	γ2	PROPN
ejpam-4378	120	10	+	+	CCONJ
ejpam-4378	120	11	µ+	µ+	PUNCT
ejpam-4378	120	12	α)l	α)l	ADJ
ejpam-4378	120	13	ḃ	ḃ	PROPN
ejpam-4378	120	14	=	=	SYM
ejpam-4378	120	15	b3	b3	PROPN
ejpam-4378	120	16	+	+	CCONJ
ejpam-4378	120	17	αl−	αl−	PUNCT
ejpam-4378	120	18	(	(	PUNCT
ejpam-4378	120	19	µ+	µ+	X
ejpam-4378	120	20	γ1	γ1	PROPN
ejpam-4378	120	21	+	+	CCONJ
ejpam-4378	120	22	γ3)b	γ3)b	PROPN
ejpam-4378	120	23	with	with	ADP
ejpam-4378	120	24	initial	initial	ADJ
ejpam-4378	120	25	conditions	condition	NOUN
ejpam-4378	120	26	(	(	PUNCT
ejpam-4378	120	27	l(0	l(0	PROPN
ejpam-4378	120	28	)	)	PUNCT
ejpam-4378	120	29	,	,	PUNCT
ejpam-4378	120	30	b(0	b(0	NOUN
ejpam-4378	120	31	)	)	PUNCT
ejpam-4378	120	32	)	)	PUNCT
ejpam-4378	121	1	∈	∈	PROPN
ejpam-4378	121	2	ζ	ζ	NOUN
ejpam-4378	121	3	,	,	PUNCT
ejpam-4378	121	4	where	where	SCONJ
ejpam-4378	121	5	ζ	ζ	NOUN
ejpam-4378	121	6	=	=	SYM
ejpam-4378	121	7	{	{	PUNCT
ejpam-4378	121	8	(	(	PUNCT
ejpam-4378	121	9	l	l	NOUN
ejpam-4378	121	10	,	,	PUNCT
ejpam-4378	121	11	b)|l	b)|l	NOUN
ejpam-4378	121	12	≥	≥	NOUN
ejpam-4378	121	13	0	0	NUM
ejpam-4378	121	14	,	,	PUNCT
ejpam-4378	121	15	b	b	PRON
ejpam-4378	121	16	≥	≥	NOUN
ejpam-4378	121	17	0	0	NUM
ejpam-4378	121	18	,	,	PUNCT
ejpam-4378	121	19	0	0	NUM
ejpam-4378	121	20	≤	≤	NUM
ejpam-4378	121	21	l+b	l+b	NOUN
ejpam-4378	121	22	≤	≤	NUM
ejpam-4378	121	23	n∗	n∗	PROPN
ejpam-4378	121	24	−r∗	−r∗	AUX
ejpam-4378	121	25	}	}	PUNCT
ejpam-4378	121	26	hence	hence	ADV
ejpam-4378	121	27	it	it	PRON
ejpam-4378	121	28	is	be	AUX
ejpam-4378	121	29	invariant	invariant	ADJ
ejpam-4378	121	30	.	.	PUNCT
ejpam-4378	122	1	j.	j.	PROPN
ejpam-4378	122	2	asad	asad	PROPN
ejpam-4378	122	3	et	et	PROPN
ejpam-4378	122	4	al	al	PROPN
ejpam-4378	122	5	.	.	PUNCT
ejpam-4378	122	6	/	/	SYM
ejpam-4378	122	7	eur	eur	PROPN
ejpam-4378	122	8	.	.	PUNCT
ejpam-4378	123	1	j.	j.	PROPN
ejpam-4378	123	2	pure	pure	PROPN
ejpam-4378	123	3	appl	appl	PROPN
ejpam-4378	123	4	.	.	PROPN
ejpam-4378	123	5	math	math	PROPN
ejpam-4378	123	6	,	,	PUNCT
ejpam-4378	123	7	15	15	NUM
ejpam-4378	123	8	(	(	PUNCT
ejpam-4378	123	9	3	3	NUM
ejpam-4378	123	10	)	)	PUNCT
ejpam-4378	123	11	(	(	PUNCT
ejpam-4378	123	12	2022	2022	NUM
ejpam-4378	123	13	)	)	PUNCT
ejpam-4378	123	14	,	,	PUNCT
ejpam-4378	123	15	897	897	NUM
ejpam-4378	123	16	-	-	SYM
ejpam-4378	123	17	915	915	NUM
ejpam-4378	123	18	902	902	NUM
ejpam-4378	123	19	4	4	NUM
ejpam-4378	123	20	.	.	PUNCT
ejpam-4378	123	21	computer	computer	NOUN
ejpam-4378	123	22	virus	virus	NOUN
ejpam-4378	123	23	model	model	NOUN
ejpam-4378	123	24	with	with	ADP
ejpam-4378	123	25	abc	abc	PROPN
ejpam-4378	123	26	derivative	derivative	NOUN
ejpam-4378	123	27	in	in	ADP
ejpam-4378	123	28	this	this	DET
ejpam-4378	123	29	section	section	NOUN
ejpam-4378	123	30	,	,	PUNCT
ejpam-4378	123	31	consider	consider	VERB
ejpam-4378	123	32	the	the	DET
ejpam-4378	123	33	system	system	NOUN
ejpam-4378	123	34	(	(	PUNCT
ejpam-4378	123	35	6	6	NUM
ejpam-4378	123	36	)	)	PUNCT
ejpam-4378	123	37	with	with	ADP
ejpam-4378	123	38	abc	abc	PROPN
ejpam-4378	123	39	derivative	derivative	NOUN
ejpam-4378	123	40	and	and	CCONJ
ejpam-4378	123	41	definition	definition	NOUN
ejpam-4378	123	42	of	of	ADP
ejpam-4378	123	43	sumudu	sumudu	NOUN
ejpam-4378	123	44	transform	transform	NOUN
ejpam-4378	123	45	,	,	PUNCT
ejpam-4378	123	46	we	we	PRON
ejpam-4378	123	47	get	get	VERB
ejpam-4378	123	48	b(α)αγ(α+1)eα	b(α)αγ(α+1)eα	PROPN
ejpam-4378	123	49	(	(	PUNCT
ejpam-4378	123	50	−wα	−wα	NOUN
ejpam-4378	123	51	1−	1−	NUM
ejpam-4378	123	52	α	α	NOUN
ejpam-4378	123	53	)	)	PUNCT
ejpam-4378	123	54	st	st	PROPN
ejpam-4378	124	1	[	[	X
ejpam-4378	124	2	s(t)−s(0	s(t)−s(0	NOUN
ejpam-4378	124	3	)	)	PUNCT
ejpam-4378	124	4	]	]	PUNCT
ejpam-4378	125	1	=	=	PUNCT
ejpam-4378	125	2	st	st	PROPN
ejpam-4378	126	1	[	[	X
ejpam-4378	126	2	b1	b1	NOUN
ejpam-4378	126	3	+	+	CCONJ
ejpam-4378	126	4	γ2l+	γ2l+	NOUN
ejpam-4378	126	5	γ3b	γ3b	PRON
ejpam-4378	126	6	+	+	CCONJ
ejpam-4378	126	7	ηr−	ηr−	PRON
ejpam-4378	126	8	µs	µs	PUNCT
ejpam-4378	126	9	−	−	NOUN
ejpam-4378	126	10	γ1s	γ1s	NOUN
ejpam-4378	126	11	−	−	NOUN
ejpam-4378	126	12	β1ls	β1ls	PUNCT
ejpam-4378	126	13	−	−	PROPN
ejpam-4378	126	14	β2bs	β2bs	PUNCT
ejpam-4378	126	15	−	−	PROPN
ejpam-4378	126	16	θs	θs	SYM
ejpam-4378	126	17	]	]	X
ejpam-4378	126	18	(	(	PUNCT
ejpam-4378	126	19	9	9	X
ejpam-4378	126	20	)	)	PUNCT
ejpam-4378	126	21	b(α)αγ(α+1)eα	b(α)αγ(α+1)eα	NOUN
ejpam-4378	126	22	(	(	PUNCT
ejpam-4378	126	23	−wα	−wα	NOUN
ejpam-4378	126	24	1−	1−	NUM
ejpam-4378	126	25	α	α	NOUN
ejpam-4378	126	26	)	)	PUNCT
ejpam-4378	126	27	st	st	PROPN
ejpam-4378	127	1	[	[	X
ejpam-4378	127	2	l(t)−l(0	l(t)−l(0	NOUN
ejpam-4378	127	3	)	)	PUNCT
ejpam-4378	127	4	]	]	PUNCT
ejpam-4378	128	1	=	=	PUNCT
ejpam-4378	128	2	st	st	PROPN
ejpam-4378	129	1	[	[	X
ejpam-4378	129	2	b2	b2	NOUN
ejpam-4378	129	3	+	+	CCONJ
ejpam-4378	129	4	β1ls	β1ls	PUNCT
ejpam-4378	129	5	+	+	CCONJ
ejpam-4378	129	6	β2bs	β2bs	PUNCT
ejpam-4378	129	7	+	+	NUM
ejpam-4378	129	8	θs	θ	NOUN
ejpam-4378	129	9	−	−	NOUN
ejpam-4378	129	10	γ1l−	γ1l−	PROPN
ejpam-4378	129	11	γ2l−	γ2l−	PROPN
ejpam-4378	129	12	µl−	µl−	SYM
ejpam-4378	129	13	αl	αl	ADP
ejpam-4378	129	14	]	]	X
ejpam-4378	129	15	(	(	PUNCT
ejpam-4378	129	16	10	10	NUM
ejpam-4378	129	17	)	)	PUNCT
ejpam-4378	129	18	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	129	19	1)eα	1)eα	NUM
ejpam-4378	129	20	(	(	PUNCT
ejpam-4378	129	21	−wα	−wα	NOUN
ejpam-4378	129	22	1−	1−	NUM
ejpam-4378	129	23	α	α	NOUN
ejpam-4378	129	24	)	)	PUNCT
ejpam-4378	129	25	st	st	PROPN
ejpam-4378	130	1	[	[	X
ejpam-4378	130	2	b(t)−b(0	b(t)−b(0	NOUN
ejpam-4378	130	3	)	)	PUNCT
ejpam-4378	130	4	]	]	PUNCT
ejpam-4378	131	1	=	=	PUNCT
ejpam-4378	131	2	st	st	PROPN
ejpam-4378	132	1	[	[	X
ejpam-4378	132	2	b3	b3	PROPN
ejpam-4378	132	3	+	+	CCONJ
ejpam-4378	132	4	αl−	αl−	PUNCT
ejpam-4378	132	5	µb	µb	ADP
ejpam-4378	132	6	−	−	NOUN
ejpam-4378	132	7	γ1b	γ1b	ADP
ejpam-4378	132	8	−	−	PROPN
ejpam-4378	132	9	γ3b	γ3b	NOUN
ejpam-4378	132	10	]	]	X
ejpam-4378	132	11	(	(	PUNCT
ejpam-4378	132	12	11	11	X
ejpam-4378	132	13	)	)	PUNCT
ejpam-4378	132	14	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	132	15	1)eα	1)eα	NUM
ejpam-4378	132	16	(	(	PUNCT
ejpam-4378	132	17	−wα	−wα	NOUN
ejpam-4378	132	18	1−	1−	NUM
ejpam-4378	132	19	α	α	NOUN
ejpam-4378	132	20	)	)	PUNCT
ejpam-4378	132	21	st	st	PROPN
ejpam-4378	133	1	[	[	X
ejpam-4378	133	2	r(t)−r(0	r(t)−r(0	PROPN
ejpam-4378	133	3	)	)	PUNCT
ejpam-4378	133	4	]	]	PUNCT
ejpam-4378	134	1	=	=	PUNCT
ejpam-4378	134	2	st	st	PROPN
ejpam-4378	135	1	[	[	X
ejpam-4378	135	2	b4	b4	NOUN
ejpam-4378	135	3	+	+	CCONJ
ejpam-4378	135	4	γ1s	γ1s	NOUN
ejpam-4378	135	5	+	+	CCONJ
ejpam-4378	135	6	γ1l+	γ1l+	NOUN
ejpam-4378	135	7	γ1b	γ1b	NOUN
ejpam-4378	135	8	−	−	X
ejpam-4378	135	9	ηr−	ηr−	INTJ
ejpam-4378	135	10	µr	µr	ADP
ejpam-4378	135	11	]	]	PUNCT
ejpam-4378	135	12	(	(	PUNCT
ejpam-4378	135	13	12	12	NUM
ejpam-4378	135	14	)	)	PUNCT
ejpam-4378	135	15	by	by	ADP
ejpam-4378	135	16	reorganizing	reorganize	VERB
ejpam-4378	135	17	the	the	DET
ejpam-4378	135	18	system	system	NOUN
ejpam-4378	135	19	of	of	ADP
ejpam-4378	135	20	equations(9)-(12	equations(9)-(12	PROPN
ejpam-4378	135	21	)	)	PUNCT
ejpam-4378	135	22	,	,	PUNCT
ejpam-4378	135	23	we	we	PRON
ejpam-4378	135	24	have	have	VERB
ejpam-4378	135	25	st	st	PROPN
ejpam-4378	135	26	[	[	X
ejpam-4378	135	27	s(t	s(t	PROPN
ejpam-4378	135	28	)	)	PUNCT
ejpam-4378	135	29	]	]	PUNCT
ejpam-4378	136	1	=	=	PUNCT
ejpam-4378	136	2	s(0)+	s(0)+	NOUN
ejpam-4378	136	3	1−	1−	NUM
ejpam-4378	136	4	α	α	DET
ejpam-4378	136	5	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	136	6	1)eα	1)eα	PROPN
ejpam-4378	136	7	(	(	PUNCT
ejpam-4378	136	8	wα	wα	NOUN
ejpam-4378	136	9	1−α	1−α	NUM
ejpam-4378	136	10	)	)	PUNCT
ejpam-4378	136	11	×st	×st	PROPN
ejpam-4378	137	1	[	[	X
ejpam-4378	137	2	b1+γ2l+γ3b+ηr−µs−γ1s−β1ls−β2bs−θs	b1+γ2l+γ3b+ηr−µs−γ1s−β1ls−β2bs−θs	X
ejpam-4378	137	3	]	]	X
ejpam-4378	137	4	(	(	PUNCT
ejpam-4378	137	5	13	13	NUM
ejpam-4378	137	6	)	)	PUNCT
ejpam-4378	137	7	st	st	NOUN
ejpam-4378	138	1	[	[	X
ejpam-4378	138	2	l(t	l(t	X
ejpam-4378	138	3	)	)	PUNCT
ejpam-4378	138	4	]	]	PUNCT
ejpam-4378	139	1	=	=	PUNCT
ejpam-4378	139	2	l(0)+	l(0)+	NOUN
ejpam-4378	139	3	1−	1−	NUM
ejpam-4378	139	4	α	α	DET
ejpam-4378	139	5	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	139	6	1)eα	1)eα	PROPN
ejpam-4378	139	7	(	(	PUNCT
ejpam-4378	139	8	wα	wα	NOUN
ejpam-4378	139	9	1−α	1−α	NUM
ejpam-4378	139	10	)	)	PUNCT
ejpam-4378	139	11	×st	×st	PROPN
ejpam-4378	140	1	[	[	X
ejpam-4378	140	2	b2+β1ls+β2bs+θs−γ1l−γ2l−µl−αl	b2+β1ls+β2bs+θs−γ1l−γ2l−µl−αl	X
ejpam-4378	140	3	]	]	X
ejpam-4378	140	4	(	(	PUNCT
ejpam-4378	140	5	14	14	NUM
ejpam-4378	140	6	)	)	PUNCT
ejpam-4378	140	7	st	st	NOUN
ejpam-4378	141	1	[	[	X
ejpam-4378	141	2	b(t	b(t	NOUN
ejpam-4378	141	3	)	)	PUNCT
ejpam-4378	141	4	]	]	PUNCT
ejpam-4378	142	1	=	=	PUNCT
ejpam-4378	142	2	b(0	b(0	PROPN
ejpam-4378	142	3	)	)	PUNCT
ejpam-4378	142	4	+	+	NUM
ejpam-4378	142	5	1−	1−	NUM
ejpam-4378	142	6	α	α	DET
ejpam-4378	142	7	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	142	8	1)eα	1)eα	PROPN
ejpam-4378	142	9	(	(	PUNCT
ejpam-4378	142	10	wα	wα	NOUN
ejpam-4378	142	11	1−α	1−α	NUM
ejpam-4378	142	12	)	)	PUNCT
ejpam-4378	142	13	×	×	PROPN
ejpam-4378	142	14	st	st	PROPN
ejpam-4378	143	1	[	[	X
ejpam-4378	143	2	b3	b3	PROPN
ejpam-4378	143	3	+	+	CCONJ
ejpam-4378	143	4	αl−	αl−	PUNCT
ejpam-4378	143	5	µb	µb	ADP
ejpam-4378	143	6	−	−	NOUN
ejpam-4378	143	7	γ1b	γ1b	ADP
ejpam-4378	143	8	−	−	PROPN
ejpam-4378	143	9	γ3b	γ3b	NOUN
ejpam-4378	143	10	]	]	X
ejpam-4378	143	11	(	(	PUNCT
ejpam-4378	143	12	15	15	NUM
ejpam-4378	143	13	)	)	PUNCT
ejpam-4378	143	14	st	st	NOUN
ejpam-4378	144	1	[	[	X
ejpam-4378	144	2	r(t	r(t	NOUN
ejpam-4378	144	3	)	)	PUNCT
ejpam-4378	144	4	]	]	PUNCT
ejpam-4378	145	1	=	=	PUNCT
ejpam-4378	145	2	r(0)+	r(0)+	NOUN
ejpam-4378	145	3	1−	1−	NUM
ejpam-4378	145	4	α	α	DET
ejpam-4378	145	5	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	145	6	1)eα	1)eα	PROPN
ejpam-4378	145	7	(	(	PUNCT
ejpam-4378	145	8	wα	wα	NOUN
ejpam-4378	145	9	1−α	1−α	NUM
ejpam-4378	145	10	)	)	PUNCT
ejpam-4378	145	11	×st	×st	PROPN
ejpam-4378	146	1	[	[	X
ejpam-4378	146	2	b4+γ1s+γ1l+γ1b−ηr−µr	b4+γ1s+γ1l+γ1b−ηr−µr	X
ejpam-4378	146	3	]	]	X
ejpam-4378	146	4	(	(	PUNCT
ejpam-4378	146	5	16	16	NUM
ejpam-4378	146	6	)	)	PUNCT
ejpam-4378	146	7	we	we	PRON
ejpam-4378	146	8	get	get	VERB
ejpam-4378	146	9	s(t	s(t	VERB
ejpam-4378	146	10	)	)	PUNCT
ejpam-4378	147	1	=	=	SYM
ejpam-4378	147	2	s(0	s(0	PROPN
ejpam-4378	147	3	)	)	PUNCT
ejpam-4378	147	4	+	+	PUNCT
ejpam-4378	147	5	st−1	st−1	NOUN
ejpam-4378	147	6	{	{	PUNCT
ejpam-4378	147	7	1−	1−	NUM
ejpam-4378	147	8	α	α	DET
ejpam-4378	147	9	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	147	10	1)eα	1)eα	PROPN
ejpam-4378	147	11	(	(	PUNCT
ejpam-4378	147	12	wα	wα	NOUN
ejpam-4378	147	13	1−α	1−α	NUM
ejpam-4378	147	14	)	)	PUNCT
ejpam-4378	147	15	×	×	PROPN
ejpam-4378	147	16	st	st	PROPN
ejpam-4378	148	1	[	[	X
ejpam-4378	148	2	b1	b1	NOUN
ejpam-4378	148	3	+	+	CCONJ
ejpam-4378	148	4	γ2l+	γ2l+	NOUN
ejpam-4378	148	5	γ3b	γ3b	PRON
ejpam-4378	148	6	+	+	CCONJ
ejpam-4378	148	7	ηr−	ηr−	PRON
ejpam-4378	148	8	µs	µs	PUNCT
ejpam-4378	148	9	−	−	NOUN
ejpam-4378	148	10	γ1s	γ1s	NOUN
ejpam-4378	148	11	−	−	NOUN
ejpam-4378	148	12	β1ls	β1ls	PUNCT
ejpam-4378	148	13	−	−	PROPN
ejpam-4378	148	14	β2bs	β2bs	PUNCT
ejpam-4378	148	15	−	−	PROPN
ejpam-4378	148	16	θs	θs	PRON
ejpam-4378	148	17	]	]	NOUN
ejpam-4378	148	18	}	}	PUNCT
ejpam-4378	148	19	(	(	PUNCT
ejpam-4378	148	20	17	17	NUM
ejpam-4378	148	21	)	)	PUNCT
ejpam-4378	148	22	l(t	l(t	PROPN
ejpam-4378	148	23	)	)	PUNCT
ejpam-4378	149	1	=	=	SYM
ejpam-4378	149	2	l(0)+st−1	l(0)+st−1	PROPN
ejpam-4378	149	3			PUNCT
ejpam-4378	149	4	1−	1−	NUM
ejpam-4378	149	5	α	α	DET
ejpam-4378	149	6	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	149	7	1)eα	1)eα	PROPN
ejpam-4378	149	8	(	(	PUNCT
ejpam-4378	149	9	wα	wα	NOUN
ejpam-4378	149	10	1−α	1−α	NUM
ejpam-4378	149	11	)	)	PUNCT
ejpam-4378	149	12	×	×	PROPN
ejpam-4378	149	13	st	st	PROPN
ejpam-4378	150	1	[	[	X
ejpam-4378	150	2	b2	b2	NOUN
ejpam-4378	150	3	+	+	CCONJ
ejpam-4378	150	4	β1ls	β1ls	PUNCT
ejpam-4378	150	5	+	+	CCONJ
ejpam-4378	150	6	β2bs	β2bs	PUNCT
ejpam-4378	150	7	+	+	NUM
ejpam-4378	150	8	θs	θ	NOUN
ejpam-4378	150	9	−	−	NOUN
ejpam-4378	150	10	γ1l−	γ1l−	PROPN
ejpam-4378	150	11	γ2l−	γ2l−	PROPN
ejpam-4378	150	12	µl−	µl−	PUNCT
ejpam-4378	150	13	αl	αl	ADP
ejpam-4378	150	14	]	]	X
ejpam-4378	150	15			NOUN
ejpam-4378	150	16	(	(	PUNCT
ejpam-4378	150	17	18	18	NUM
ejpam-4378	150	18	)	)	PUNCT
ejpam-4378	150	19	b(t	b(t	NOUN
ejpam-4378	150	20	)	)	PUNCT
ejpam-4378	150	21	=	=	SYM
ejpam-4378	150	22	b(0	b(0	PROPN
ejpam-4378	150	23	)	)	PUNCT
ejpam-4378	150	24	+	+	CCONJ
ejpam-4378	150	25	st−1	st−1	PROPN
ejpam-4378	150	26			PUNCT
ejpam-4378	150	27	1−	1−	NUM
ejpam-4378	150	28	α	α	DET
ejpam-4378	150	29	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	150	30	1)eα	1)eα	PROPN
ejpam-4378	150	31	(	(	PUNCT
ejpam-4378	150	32	wα	wα	NOUN
ejpam-4378	150	33	1−α	1−α	NUM
ejpam-4378	150	34	)	)	PUNCT
ejpam-4378	150	35	×	×	PROPN
ejpam-4378	150	36	st	st	PROPN
ejpam-4378	151	1	[	[	X
ejpam-4378	151	2	b3	b3	PROPN
ejpam-4378	151	3	+	+	CCONJ
ejpam-4378	151	4	αl−	αl−	PUNCT
ejpam-4378	151	5	µb	µb	ADP
ejpam-4378	151	6	−	−	NOUN
ejpam-4378	151	7	γ1b	γ1b	ADP
ejpam-4378	151	8	−	−	ADP
ejpam-4378	151	9	γ3b	γ3b	NOUN
ejpam-4378	151	10	]	]	X
ejpam-4378	151	11			PROPN
ejpam-4378	151	12	(	(	PUNCT
ejpam-4378	151	13	19	19	NUM
ejpam-4378	151	14	)	)	PUNCT
ejpam-4378	151	15	j.	j.	PROPN
ejpam-4378	151	16	asad	asad	PROPN
ejpam-4378	151	17	et	et	PROPN
ejpam-4378	151	18	al	al	PROPN
ejpam-4378	151	19	.	.	PUNCT
ejpam-4378	151	20	/	/	SYM
ejpam-4378	151	21	eur	eur	PROPN
ejpam-4378	151	22	.	.	PUNCT
ejpam-4378	152	1	j.	j.	PROPN
ejpam-4378	152	2	pure	pure	PROPN
ejpam-4378	152	3	appl	appl	PROPN
ejpam-4378	152	4	.	.	PROPN
ejpam-4378	152	5	math	math	PROPN
ejpam-4378	152	6	,	,	PUNCT
ejpam-4378	152	7	15	15	NUM
ejpam-4378	152	8	(	(	PUNCT
ejpam-4378	152	9	3	3	NUM
ejpam-4378	152	10	)	)	PUNCT
ejpam-4378	152	11	(	(	PUNCT
ejpam-4378	152	12	2022	2022	NUM
ejpam-4378	152	13	)	)	PUNCT
ejpam-4378	152	14	,	,	PUNCT
ejpam-4378	152	15	897	897	NUM
ejpam-4378	152	16	-	-	SYM
ejpam-4378	152	17	915	915	NUM
ejpam-4378	152	18	903	903	NUM
ejpam-4378	152	19	r(t	r(t	NOUN
ejpam-4378	152	20	)	)	PUNCT
ejpam-4378	153	1	=	=	SYM
ejpam-4378	153	2	r(0)+st−1	r(0)+st−1	PROPN
ejpam-4378	153	3			PUNCT
ejpam-4378	153	4	1−	1−	NUM
ejpam-4378	153	5	α	α	DET
ejpam-4378	153	6	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	153	7	1)eα	1)eα	PROPN
ejpam-4378	153	8	(	(	PUNCT
ejpam-4378	153	9	wα	wα	NOUN
ejpam-4378	153	10	1−α	1−α	NUM
ejpam-4378	153	11	)	)	PUNCT
ejpam-4378	153	12	×	×	PROPN
ejpam-4378	153	13	st	st	PROPN
ejpam-4378	154	1	[	[	X
ejpam-4378	154	2	b4	b4	NOUN
ejpam-4378	154	3	+	+	CCONJ
ejpam-4378	154	4	γ1s	γ1s	NOUN
ejpam-4378	154	5	+	+	CCONJ
ejpam-4378	154	6	γ1l+	γ1l+	NOUN
ejpam-4378	154	7	γ1b	γ1b	NOUN
ejpam-4378	154	8	−	−	X
ejpam-4378	154	9	ηr−	ηr−	INTJ
ejpam-4378	154	10	µr	µr	ADP
ejpam-4378	154	11	]	]	PUNCT
ejpam-4378	154	12			NOUN
ejpam-4378	154	13	(	(	PUNCT
ejpam-4378	154	14	20	20	NUM
ejpam-4378	154	15	)	)	PUNCT
ejpam-4378	154	16	therefore	therefore	ADV
ejpam-4378	154	17	,	,	PUNCT
ejpam-4378	154	18	the	the	DET
ejpam-4378	154	19	following	follow	VERB
ejpam-4378	154	20	is	be	AUX
ejpam-4378	154	21	obtained	obtain	VERB
ejpam-4378	154	22	s(n+1)(t	s(n+1)(t	ADV
ejpam-4378	154	23	)	)	PUNCT
ejpam-4378	154	24	=	=	SYM
ejpam-4378	154	25	s(0	s(0	PROPN
ejpam-4378	154	26	)	)	PUNCT
ejpam-4378	154	27	+	+	PUNCT
ejpam-4378	154	28	st−1	st−1	NOUN
ejpam-4378	154	29	{	{	PUNCT
ejpam-4378	154	30	1−	1−	NUM
ejpam-4378	154	31	α	α	DET
ejpam-4378	154	32	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	154	33	1)eα	1)eα	PROPN
ejpam-4378	154	34	(	(	PUNCT
ejpam-4378	154	35	wα	wα	NOUN
ejpam-4378	154	36	1−α	1−α	NUM
ejpam-4378	154	37	)	)	PUNCT
ejpam-4378	154	38	×	×	PROPN
ejpam-4378	154	39	st	st	PROPN
ejpam-4378	155	1	[	[	X
ejpam-4378	155	2	b1	b1	NOUN
ejpam-4378	155	3	+	+	CCONJ
ejpam-4378	155	4	γ2ln	γ2ln	X
ejpam-4378	155	5	+	+	CCONJ
ejpam-4378	155	6	γ3bn	γ3bn	PUNCT
ejpam-4378	156	1	+	+	X
ejpam-4378	156	2	ηrn−	ηrn−	PROPN
ejpam-4378	156	3	(	(	PUNCT
ejpam-4378	156	4	µ+	µ+	X
ejpam-4378	156	5	γ1	γ1	NOUN
ejpam-4378	156	6	+	+	CCONJ
ejpam-4378	156	7	θ)sn	θ)sn	PROPN
ejpam-4378	156	8	−	−	PROPN
ejpam-4378	156	9	β1lnsn	β1lnsn	NOUN
ejpam-4378	156	10	−	−	NOUN
ejpam-4378	156	11	β2bnsn	β2bnsn	NOUN
ejpam-4378	156	12	]	]	PUNCT
ejpam-4378	156	13	}	}	PUNCT
ejpam-4378	156	14	(	(	PUNCT
ejpam-4378	156	15	21	21	NUM
ejpam-4378	156	16	)	)	PUNCT
ejpam-4378	156	17	l(n+1)(t	l(n+1)(t	NOUN
ejpam-4378	156	18	)	)	PUNCT
ejpam-4378	156	19	=	=	SYM
ejpam-4378	156	20	l(0	l(0	PROPN
ejpam-4378	156	21	)	)	PUNCT
ejpam-4378	157	1	+	+	CCONJ
ejpam-4378	157	2	st−1	st−1	ADJ
ejpam-4378	157	3	{	{	PUNCT
ejpam-4378	157	4	1−	1−	NUM
ejpam-4378	157	5	α	α	DET
ejpam-4378	157	6	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	157	7	1)eα	1)eα	PROPN
ejpam-4378	157	8	(	(	PUNCT
ejpam-4378	157	9	wα	wα	NOUN
ejpam-4378	157	10	1−α	1−α	NUM
ejpam-4378	157	11	)	)	PUNCT
ejpam-4378	157	12	×	×	PROPN
ejpam-4378	157	13	st	st	PROPN
ejpam-4378	158	1	[	[	X
ejpam-4378	158	2	b2	b2	NOUN
ejpam-4378	158	3	+	+	CCONJ
ejpam-4378	158	4	β1lnsn	β1lnsn	NOUN
ejpam-4378	158	5	+	+	CCONJ
ejpam-4378	158	6	β2bnsn	β2bnsn	PROPN
ejpam-4378	158	7	+	+	CCONJ
ejpam-4378	158	8	θsn	θsn	NOUN
ejpam-4378	158	9	−	−	NOUN
ejpam-4378	158	10	(	(	PUNCT
ejpam-4378	158	11	γ1	γ1	NOUN
ejpam-4378	158	12	+	+	CCONJ
ejpam-4378	158	13	γ2	γ2	PROPN
ejpam-4378	158	14	+	+	CCONJ
ejpam-4378	158	15	µ+	µ+	X
ejpam-4378	158	16	α)ln	α)ln	PROPN
ejpam-4378	158	17	]	]	PUNCT
ejpam-4378	158	18	}	}	PUNCT
ejpam-4378	158	19	(	(	PUNCT
ejpam-4378	158	20	22	22	NUM
ejpam-4378	158	21	)	)	PUNCT
ejpam-4378	158	22	b(n+1)(t	b(n+1)(t	X
ejpam-4378	158	23	)	)	PUNCT
ejpam-4378	158	24	=	=	SYM
ejpam-4378	158	25	b(0)+st−1	b(0)+st−1	ADJ
ejpam-4378	158	26			PUNCT
ejpam-4378	158	27	1−	1−	NUM
ejpam-4378	158	28	α	α	DET
ejpam-4378	158	29	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	158	30	1)eα	1)eα	PROPN
ejpam-4378	158	31	(	(	PUNCT
ejpam-4378	158	32	wα	wα	NOUN
ejpam-4378	158	33	1−α	1−α	NUM
ejpam-4378	158	34	)	)	PUNCT
ejpam-4378	158	35	×	×	PROPN
ejpam-4378	158	36	st	st	PROPN
ejpam-4378	159	1	[	[	X
ejpam-4378	159	2	b3	b3	PROPN
ejpam-4378	159	3	+	+	CCONJ
ejpam-4378	159	4	αln	αln	PRON
ejpam-4378	159	5	−	−	PROPN
ejpam-4378	159	6	(	(	PUNCT
ejpam-4378	159	7	µ+	µ+	X
ejpam-4378	159	8	γ1	γ1	PROPN
ejpam-4378	159	9	+	+	CCONJ
ejpam-4378	159	10	γ3)bn	γ3)bn	PROPN
ejpam-4378	159	11	]	]	X
ejpam-4378	160	1			NOUN
ejpam-4378	160	2	(	(	PUNCT
ejpam-4378	160	3	23	23	NUM
ejpam-4378	160	4	)	)	PUNCT
ejpam-4378	160	5	r(n+1)(t	r(n+1)(t	NOUN
ejpam-4378	160	6	)	)	PUNCT
ejpam-4378	160	7	=	=	SYM
ejpam-4378	160	8	r(0)+st−1	r(0)+st−1	PROPN
ejpam-4378	160	9			PUNCT
ejpam-4378	160	10	1−	1−	NUM
ejpam-4378	160	11	α	α	DET
ejpam-4378	160	12	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	160	13	1)eα	1)eα	PROPN
ejpam-4378	160	14	(	(	PUNCT
ejpam-4378	160	15	wα	wα	NOUN
ejpam-4378	160	16	1−α	1−α	NUM
ejpam-4378	160	17	)	)	PUNCT
ejpam-4378	160	18	×	×	PROPN
ejpam-4378	160	19	st	st	PROPN
ejpam-4378	161	1	[	[	X
ejpam-4378	161	2	b4	b4	NOUN
ejpam-4378	161	3	+	+	CCONJ
ejpam-4378	161	4	γ1sn	γ1sn	X
ejpam-4378	161	5	+	+	NUM
ejpam-4378	161	6	γ1ln	γ1ln	X
ejpam-4378	161	7	+	+	CCONJ
ejpam-4378	161	8	γ1bn	γ1bn	PUNCT
ejpam-4378	161	9	−	−	PROPN
ejpam-4378	161	10	(	(	PUNCT
ejpam-4378	161	11	η	η	PROPN
ejpam-4378	161	12	+	+	PROPN
ejpam-4378	161	13	µ)rn	µ)rn	PROPN
ejpam-4378	161	14	]	]	X
ejpam-4378	161	15			NOUN
ejpam-4378	161	16	(	(	PUNCT
ejpam-4378	161	17	24	24	NUM
ejpam-4378	161	18	)	)	PUNCT
ejpam-4378	161	19	and	and	CCONJ
ejpam-4378	161	20	obtained	obtain	VERB
ejpam-4378	161	21	solution	solution	NOUN
ejpam-4378	161	22	of	of	ADP
ejpam-4378	161	23	the	the	DET
ejpam-4378	161	24	system	system	NOUN
ejpam-4378	161	25	of	of	ADP
ejpam-4378	161	26	equations(21)-(24	equations(21)-(24	NOUN
ejpam-4378	161	27	)	)	PUNCT
ejpam-4378	161	28	is	be	AUX
ejpam-4378	161	29	presented	present	VERB
ejpam-4378	161	30	as	as	ADP
ejpam-4378	161	31	s(t	s(t	PROPN
ejpam-4378	161	32	)	)	PUNCT
ejpam-4378	161	33	=	=	SYM
ejpam-4378	161	34	limn→∞	limn→∞	X
ejpam-4378	161	35	sn(t	sn(t	NUM
ejpam-4378	161	36	)	)	PUNCT
ejpam-4378	161	37	;	;	PUNCT
ejpam-4378	161	38	l(t	l(t	X
ejpam-4378	161	39	)	)	PUNCT
ejpam-4378	162	1	=	=	SYM
ejpam-4378	162	2	limn→∞	limn→∞	PROPN
ejpam-4378	162	3	ln(t	ln(t	NUM
ejpam-4378	162	4	)	)	PUNCT
ejpam-4378	162	5	;	;	PUNCT
ejpam-4378	162	6	b(t	b(t	NOUN
ejpam-4378	162	7	)	)	PUNCT
ejpam-4378	162	8	=	=	SYM
ejpam-4378	162	9	limn→∞bn(t	limn→∞bn(t	PROPN
ejpam-4378	162	10	)	)	PUNCT
ejpam-4378	162	11	and	and	CCONJ
ejpam-4378	162	12	r(t	r(t	NOUN
ejpam-4378	162	13	)	)	PUNCT
ejpam-4378	162	14	=	=	SYM
ejpam-4378	162	15	limn→∞rn(t	limn→∞rn(t	PROPN
ejpam-4378	162	16	)	)	PUNCT
ejpam-4378	162	17	theorem	theorem	VERB
ejpam-4378	162	18	3	3	X
ejpam-4378	162	19	.	.	PUNCT
ejpam-4378	163	1	let	let	AUX
ejpam-4378	163	2	(	(	PUNCT
ejpam-4378	163	3	x	x	NOUN
ejpam-4378	163	4	,	,	PUNCT
ejpam-4378	163	5	|.|	|.|	NOUN
ejpam-4378	163	6	)	)	PUNCT
ejpam-4378	163	7	be	be	AUX
ejpam-4378	163	8	a	a	DET
ejpam-4378	163	9	banach	banach	NOUN
ejpam-4378	163	10	space	space	NOUN
ejpam-4378	163	11	and	and	CCONJ
ejpam-4378	163	12	h	h	DET
ejpam-4378	163	13	a	a	DET
ejpam-4378	163	14	self	self	NOUN
ejpam-4378	163	15	-	-	PUNCT
ejpam-4378	163	16	map	map	NOUN
ejpam-4378	163	17	of	of	ADP
ejpam-4378	163	18	x	x	PUNCT
ejpam-4378	163	19	satisfying	satisfy	VERB
ejpam-4378	163	20	∥hx−hr∥	∥hx−hr∥	ADJ
ejpam-4378	163	21	≤	≤	NUM
ejpam-4378	163	22	θ∥x	θ∥x	VERB
ejpam-4378	163	23	−hx∥+	−hx∥+	PROPN
ejpam-4378	163	24	θ∥x−	θ∥x−	ADP
ejpam-4378	163	25	r∥	r∥	NOUN
ejpam-4378	163	26	∀x	∀x	NUM
ejpam-4378	163	27	,	,	PUNCT
ejpam-4378	164	1	r	r	NOUN
ejpam-4378	164	2	∈	∈	PROPN
ejpam-4378	164	3	x	x	NOUN
ejpam-4378	164	4	,	,	PUNCT
ejpam-4378	164	5	where	where	SCONJ
ejpam-4378	164	6	0	0	NUM
ejpam-4378	164	7	≤	≤	NUM
ejpam-4378	165	1	θ	θ	X
ejpam-4378	165	2	<	<	X
ejpam-4378	165	3	1	1	X
ejpam-4378	165	4	.	.	PUNCT
ejpam-4378	165	5	assume	assume	VERB
ejpam-4378	165	6	that	that	SCONJ
ejpam-4378	165	7	h	h	NOUN
ejpam-4378	165	8	is	be	AUX
ejpam-4378	165	9	a	a	DET
ejpam-4378	165	10	picard	picard	NOUN
ejpam-4378	165	11	h	h	NOUN
ejpam-4378	165	12	-	-	PUNCT
ejpam-4378	165	13	stable	stable	ADJ
ejpam-4378	165	14	.	.	PUNCT
ejpam-4378	166	1	let	let	VERB
ejpam-4378	166	2	us	we	PRON
ejpam-4378	166	3	consider	consider	VERB
ejpam-4378	166	4	the	the	DET
ejpam-4378	166	5	system	system	NOUN
ejpam-4378	166	6	of	of	ADP
ejpam-4378	166	7	equations	equation	NOUN
ejpam-4378	166	8	(	(	PUNCT
ejpam-4378	166	9	21)-(24	21)-(24	NUM
ejpam-4378	166	10	)	)	PUNCT
ejpam-4378	166	11	and	and	CCONJ
ejpam-4378	166	12	we	we	PRON
ejpam-4378	166	13	obtained	obtain	VERB
ejpam-4378	166	14	1−	1−	NUM
ejpam-4378	166	15	α	α	PRON
ejpam-4378	166	16	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	166	17	1)eα	1)eα	PROPN
ejpam-4378	166	18	(	(	PUNCT
ejpam-4378	166	19	−wα	−wα	NOUN
ejpam-4378	166	20	1−α	1−α	NUM
ejpam-4378	166	21	)	)	PUNCT
ejpam-4378	166	22	(	(	PUNCT
ejpam-4378	166	23	25	25	NUM
ejpam-4378	166	24	)	)	PUNCT
ejpam-4378	166	25	it	it	PRON
ejpam-4378	166	26	is	be	AUX
ejpam-4378	166	27	also	also	ADV
ejpam-4378	166	28	known	know	VERB
ejpam-4378	166	29	as	as	ADP
ejpam-4378	166	30	fractional	fractional	ADJ
ejpam-4378	166	31	lagrange	lagrange	NOUN
ejpam-4378	166	32	multiplier	multiplier	NOUN
ejpam-4378	166	33	.	.	PUNCT
ejpam-4378	167	1	theorem	theorem	ADJ
ejpam-4378	167	2	4	4	NUM
ejpam-4378	167	3	.	.	PUNCT
ejpam-4378	167	4	express	express	VERB
ejpam-4378	167	5	k	k	PROPN
ejpam-4378	167	6	be	be	AUX
ejpam-4378	167	7	a	a	DET
ejpam-4378	167	8	self	self	NOUN
ejpam-4378	167	9	-	-	PUNCT
ejpam-4378	167	10	map	map	NOUN
ejpam-4378	167	11	is	be	AUX
ejpam-4378	167	12	specified	specify	VERB
ejpam-4378	167	13	by	by	ADP
ejpam-4378	167	14	k[s(n+1)(t	k[s(n+1)(t	PROPN
ejpam-4378	167	15	)	)	PUNCT
ejpam-4378	167	16	]	]	PUNCT
ejpam-4378	168	1	=	=	X
ejpam-4378	168	2	s(n+1)(t	s(n+1)(t	X
ejpam-4378	168	3	)	)	PUNCT
ejpam-4378	168	4	=	=	SYM
ejpam-4378	168	5	s(0	s(0	PROPN
ejpam-4378	168	6	)	)	PUNCT
ejpam-4378	168	7	+	+	PUNCT
ejpam-4378	168	8	st−1	st−1	ADJ
ejpam-4378	168	9	{	{	PUNCT
ejpam-4378	168	10	1−	1−	NUM
ejpam-4378	168	11	α	α	DET
ejpam-4378	168	12	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	168	13	1)eα	1)eα	PROPN
ejpam-4378	168	14	(	(	PUNCT
ejpam-4378	168	15	wα	wα	NOUN
ejpam-4378	168	16	1−α	1−α	NUM
ejpam-4378	168	17	)	)	PUNCT
ejpam-4378	168	18	×	×	PROPN
ejpam-4378	168	19	st	st	PROPN
ejpam-4378	169	1	[	[	X
ejpam-4378	169	2	b1	b1	NOUN
ejpam-4378	169	3	+	+	CCONJ
ejpam-4378	169	4	γ2ln	γ2ln	X
ejpam-4378	169	5	+	+	CCONJ
ejpam-4378	169	6	γ3bn	γ3bn	PUNCT
ejpam-4378	169	7	+	+	CCONJ
ejpam-4378	169	8	ηrn	ηrn	NOUN
ejpam-4378	169	9	−	−	PROPN
ejpam-4378	169	10	(	(	PUNCT
ejpam-4378	169	11	µ+	µ+	X
ejpam-4378	169	12	γ1	γ1	NOUN
ejpam-4378	169	13	+	+	CCONJ
ejpam-4378	169	14	θ)sn	θ)sn	PROPN
ejpam-4378	169	15	−	−	PROPN
ejpam-4378	169	16	β1lnsn	β1lnsn	NOUN
ejpam-4378	169	17	−	−	NOUN
ejpam-4378	169	18	β2bnsn	β2bnsn	NOUN
ejpam-4378	169	19	]	]	PUNCT
ejpam-4378	169	20	}	}	PUNCT
ejpam-4378	169	21	(	(	PUNCT
ejpam-4378	169	22	26	26	NUM
ejpam-4378	169	23	)	)	PUNCT
ejpam-4378	169	24	j.	j.	PROPN
ejpam-4378	169	25	asad	asad	PROPN
ejpam-4378	169	26	et	et	PROPN
ejpam-4378	169	27	al	al	PROPN
ejpam-4378	169	28	.	.	PUNCT
ejpam-4378	169	29	/	/	SYM
ejpam-4378	169	30	eur	eur	PROPN
ejpam-4378	169	31	.	.	PUNCT
ejpam-4378	170	1	j.	j.	PROPN
ejpam-4378	170	2	pure	pure	PROPN
ejpam-4378	170	3	appl	appl	PROPN
ejpam-4378	170	4	.	.	PROPN
ejpam-4378	170	5	math	math	PROPN
ejpam-4378	170	6	,	,	PUNCT
ejpam-4378	170	7	15	15	NUM
ejpam-4378	170	8	(	(	PUNCT
ejpam-4378	170	9	3	3	NUM
ejpam-4378	170	10	)	)	PUNCT
ejpam-4378	170	11	(	(	PUNCT
ejpam-4378	170	12	2022	2022	NUM
ejpam-4378	170	13	)	)	PUNCT
ejpam-4378	170	14	,	,	PUNCT
ejpam-4378	170	15	897	897	NUM
ejpam-4378	170	16	-	-	SYM
ejpam-4378	170	17	915	915	NUM
ejpam-4378	170	18	904	904	NUM
ejpam-4378	170	19	k[l(n+1)(t	k[l(n+1)(t	PROPN
ejpam-4378	170	20	)	)	PUNCT
ejpam-4378	170	21	]	]	PUNCT
ejpam-4378	171	1	=	=	X
ejpam-4378	171	2	l(n+1)(t	l(n+1)(t	X
ejpam-4378	171	3	)	)	PUNCT
ejpam-4378	171	4	=	=	PUNCT
ejpam-4378	171	5	l(0	l(0	PROPN
ejpam-4378	171	6	)	)	PUNCT
ejpam-4378	172	1	+	+	CCONJ
ejpam-4378	172	2	st−1	st−1	ADJ
ejpam-4378	172	3	{	{	PUNCT
ejpam-4378	172	4	1−	1−	NUM
ejpam-4378	172	5	α	α	DET
ejpam-4378	172	6	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	172	7	1)eα	1)eα	PROPN
ejpam-4378	172	8	(	(	PUNCT
ejpam-4378	172	9	wα	wα	NOUN
ejpam-4378	172	10	1−α	1−α	NUM
ejpam-4378	172	11	)	)	PUNCT
ejpam-4378	172	12	×	×	PROPN
ejpam-4378	172	13	st	st	PROPN
ejpam-4378	173	1	[	[	X
ejpam-4378	173	2	b2	b2	NOUN
ejpam-4378	173	3	+	+	CCONJ
ejpam-4378	173	4	β1lnsn	β1lnsn	NOUN
ejpam-4378	173	5	+	+	CCONJ
ejpam-4378	173	6	β2bnsn	β2bnsn	PROPN
ejpam-4378	173	7	+	+	CCONJ
ejpam-4378	173	8	θsn	θsn	NOUN
ejpam-4378	173	9	−	−	NOUN
ejpam-4378	173	10	(	(	PUNCT
ejpam-4378	173	11	γ1	γ1	NOUN
ejpam-4378	173	12	+	+	CCONJ
ejpam-4378	173	13	γ2	γ2	PROPN
ejpam-4378	173	14	+	+	CCONJ
ejpam-4378	173	15	µ+	µ+	X
ejpam-4378	173	16	α)ln	α)ln	PROPN
ejpam-4378	173	17	]	]	PUNCT
ejpam-4378	173	18	}	}	PUNCT
ejpam-4378	173	19	(	(	PUNCT
ejpam-4378	173	20	27	27	NUM
ejpam-4378	173	21	)	)	PUNCT
ejpam-4378	173	22	k[b(n+1)(t	k[b(n+1)(t	PROPN
ejpam-4378	173	23	)	)	PUNCT
ejpam-4378	173	24	]	]	PUNCT
ejpam-4378	173	25	=	=	SYM
ejpam-4378	173	26	b(n+1)(t	b(n+1)(t	X
ejpam-4378	173	27	)	)	PUNCT
ejpam-4378	173	28	=	=	SYM
ejpam-4378	173	29	b(0)+st−1	b(0)+st−1	ADJ
ejpam-4378	173	30			PUNCT
ejpam-4378	173	31	1−	1−	NUM
ejpam-4378	173	32	α	α	DET
ejpam-4378	173	33	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	173	34	1)eα	1)eα	PROPN
ejpam-4378	173	35	(	(	PUNCT
ejpam-4378	173	36	wα	wα	NOUN
ejpam-4378	173	37	1−α	1−α	NUM
ejpam-4378	173	38	)	)	PUNCT
ejpam-4378	173	39	×	×	PROPN
ejpam-4378	173	40	st	st	PROPN
ejpam-4378	174	1	[	[	X
ejpam-4378	174	2	b3	b3	PROPN
ejpam-4378	174	3	+	+	CCONJ
ejpam-4378	174	4	αln	αln	PRON
ejpam-4378	174	5	−	−	PROPN
ejpam-4378	174	6	(	(	PUNCT
ejpam-4378	174	7	µ+	µ+	X
ejpam-4378	174	8	γ1	γ1	PROPN
ejpam-4378	174	9	+	+	CCONJ
ejpam-4378	174	10	γ3)bn	γ3)bn	PROPN
ejpam-4378	174	11	]	]	X
ejpam-4378	175	1			NOUN
ejpam-4378	175	2	(	(	PUNCT
ejpam-4378	175	3	28	28	NUM
ejpam-4378	175	4	)	)	PUNCT
ejpam-4378	175	5	k[r(n+1)(t	k[r(n+1)(t	PROPN
ejpam-4378	175	6	)	)	PUNCT
ejpam-4378	175	7	]	]	PUNCT
ejpam-4378	176	1	=	=	X
ejpam-4378	176	2	r(n+1)(t	r(n+1)(t	X
ejpam-4378	176	3	)	)	PUNCT
ejpam-4378	176	4	=	=	SYM
ejpam-4378	176	5	r(0	r(0	PROPN
ejpam-4378	176	6	)	)	PUNCT
ejpam-4378	176	7	+	+	CCONJ
ejpam-4378	176	8	st−1	st−1	NOUN
ejpam-4378	176	9	{	{	PUNCT
ejpam-4378	176	10	1−	1−	NUM
ejpam-4378	176	11	α	α	DET
ejpam-4378	176	12	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	176	13	1)eα	1)eα	PROPN
ejpam-4378	176	14	(	(	PUNCT
ejpam-4378	176	15	wα	wα	NOUN
ejpam-4378	176	16	1−α	1−α	NUM
ejpam-4378	176	17	)	)	PUNCT
ejpam-4378	176	18	×	×	PROPN
ejpam-4378	176	19	st	st	PROPN
ejpam-4378	177	1	[	[	X
ejpam-4378	177	2	b4	b4	NOUN
ejpam-4378	177	3	+	+	CCONJ
ejpam-4378	177	4	γ1sn	γ1sn	X
ejpam-4378	177	5	+	+	NUM
ejpam-4378	177	6	γ1ln	γ1ln	X
ejpam-4378	177	7	+	+	CCONJ
ejpam-4378	177	8	γ1bn	γ1bn	PUNCT
ejpam-4378	177	9	−	−	PROPN
ejpam-4378	177	10	(	(	PUNCT
ejpam-4378	177	11	η	η	PROPN
ejpam-4378	177	12	+	+	PROPN
ejpam-4378	177	13	µ)rn	µ)rn	PROPN
ejpam-4378	177	14	]	]	PUNCT
ejpam-4378	177	15	}	}	PUNCT
ejpam-4378	177	16	(	(	PUNCT
ejpam-4378	177	17	29	29	NUM
ejpam-4378	177	18	)	)	PUNCT
ejpam-4378	177	19	proof	proof	NOUN
ejpam-4378	177	20	.	.	PUNCT
ejpam-4378	178	1	considering	consider	VERB
ejpam-4378	178	2	the	the	DET
ejpam-4378	178	3	norm	norm	NOUN
ejpam-4378	178	4	properties	property	NOUN
ejpam-4378	178	5	and	and	CCONJ
ejpam-4378	178	6	triangular	triangular	NOUN
ejpam-4378	178	7	inequalities	inequality	NOUN
ejpam-4378	178	8	,	,	PUNCT
ejpam-4378	178	9	we	we	PRON
ejpam-4378	178	10	get	get	VERB
ejpam-4378	178	11	∥k[sn(t)]−k[sm(t)]∥	∥k[sn(t)]−k[sm(t)]∥	VERB
ejpam-4378	178	12	≤∥sn(t)−	≤∥sn(t)−	PROPN
ejpam-4378	178	13	sm(t)∥+	sm(t)∥+	ADJ
ejpam-4378	178	14	st−1	st−1	NOUN
ejpam-4378	178	15	{	{	PUNCT
ejpam-4378	178	16	1−	1−	NUM
ejpam-4378	178	17	α	α	PRON
ejpam-4378	178	18	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	178	19	1)eα	1)eα	PROPN
ejpam-4378	178	20	(	(	PUNCT
ejpam-4378	178	21	wα	wα	NOUN
ejpam-4378	178	22	1−α	1−α	NUM
ejpam-4378	178	23	)	)	PUNCT
ejpam-4378	178	24	×	×	PROPN
ejpam-4378	178	25	st	st	PROPN
ejpam-4378	179	1	[	[	X
ejpam-4378	179	2	b1	b1	PROPN
ejpam-4378	179	3	+	+	CCONJ
ejpam-4378	179	4	γ2(ln(t)−	γ2(ln(t)−	PROPN
ejpam-4378	179	5	lm(t	lm(t	PROPN
ejpam-4378	179	6	)	)	PUNCT
ejpam-4378	179	7	)	)	PUNCT
ejpam-4378	180	1	+	+	CCONJ
ejpam-4378	180	2	γ3(bn(t)−bm(t	γ3(bn(t)−bm(t	X
ejpam-4378	180	3	)	)	PUNCT
ejpam-4378	180	4	)	)	PUNCT
ejpam-4378	181	1	+	+	CCONJ
ejpam-4378	181	2	η(rn(t)−rm(t	η(rn(t)−rm(t	NOUN
ejpam-4378	181	3	)	)	PUNCT
ejpam-4378	181	4	)	)	PUNCT
ejpam-4378	182	1	−	−	PROPN
ejpam-4378	182	2	(	(	PUNCT
ejpam-4378	182	3	θ	θ	X
ejpam-4378	182	4	+	+	PUNCT
ejpam-4378	182	5	µ+	µ+	PROPN
ejpam-4378	182	6	γ1)(sn(t)−	γ1)(sn(t)−	PROPN
ejpam-4378	182	7	sm(t))−	sm(t))−	PROPN
ejpam-4378	182	8	β1(ln(t)−	β1(ln(t)−	PROPN
ejpam-4378	182	9	lm(t))(sn(t)−	lm(t))(sn(t)−	PROPN
ejpam-4378	182	10	sm(t	sm(t	PROPN
ejpam-4378	182	11	)	)	PUNCT
ejpam-4378	182	12	)	)	PUNCT
ejpam-4378	183	1	−	−	PROPN
ejpam-4378	183	2	β2(bn(t)−bm(t))(sn(t)−	β2(bn(t)−bm(t))(sn(t)−	PROPN
ejpam-4378	183	3	sm(t	sm(t	X
ejpam-4378	183	4	)	)	PUNCT
ejpam-4378	183	5	)	)	PUNCT
ejpam-4378	183	6	]	]	PUNCT
ejpam-4378	183	7	}	}	PUNCT
ejpam-4378	183	8	∥k[ln(t)]−k[lm(t)]∥	∥k[ln(t)]−k[lm(t)]∥	PROPN
ejpam-4378	183	9	≤∥ln(t)−	≤∥ln(t)−	PROPN
ejpam-4378	183	10	lm(t)∥+	lm(t)∥+	PROPN
ejpam-4378	183	11	st−1	st−1	PROPN
ejpam-4378	183	12	{	{	PUNCT
ejpam-4378	183	13	1−	1−	NUM
ejpam-4378	183	14	α	α	DET
ejpam-4378	183	15	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	183	16	1)eα	1)eα	PROPN
ejpam-4378	183	17	(	(	PUNCT
ejpam-4378	183	18	wα	wα	NOUN
ejpam-4378	183	19	1−α	1−α	NUM
ejpam-4378	183	20	)	)	PUNCT
ejpam-4378	183	21	×	×	PROPN
ejpam-4378	183	22	st	st	PROPN
ejpam-4378	184	1	[	[	X
ejpam-4378	184	2	b2	b2	PROPN
ejpam-4378	184	3	+	+	CCONJ
ejpam-4378	184	4	β1(ln(t)−	β1(ln(t)−	PROPN
ejpam-4378	184	5	lm(t))(sn(t)−	lm(t))(sn(t)−	PROPN
ejpam-4378	184	6	sm(t	sm(t	PROPN
ejpam-4378	184	7	)	)	PUNCT
ejpam-4378	184	8	)	)	PUNCT
ejpam-4378	185	1	+	+	CCONJ
ejpam-4378	185	2	β2(bn(t)−bm(t))(sn(t)−	β2(bn(t)−bm(t))(sn(t)−	PROPN
ejpam-4378	185	3	sm(t	sm(t	X
ejpam-4378	185	4	)	)	PUNCT
ejpam-4378	185	5	)	)	PUNCT
ejpam-4378	186	1	+	+	CCONJ
ejpam-4378	186	2	θ(sn(t)−	θ(sn(t)−	PROPN
ejpam-4378	186	3	sm(t	sm(t	NUM
ejpam-4378	186	4	)	)	PUNCT
ejpam-4378	186	5	)	)	PUNCT
ejpam-4378	187	1	−	−	PROPN
ejpam-4378	188	1	(	(	PUNCT
ejpam-4378	188	2	γ1	γ1	NOUN
ejpam-4378	188	3	+	+	CCONJ
ejpam-4378	188	4	γ2	γ2	PROPN
ejpam-4378	188	5	+	+	CCONJ
ejpam-4378	188	6	µ+	µ+	PROPN
ejpam-4378	188	7	α)(ln(t)−	α)(ln(t)−	PROPN
ejpam-4378	188	8	lm(t	lm(t	NOUN
ejpam-4378	188	9	)	)	PUNCT
ejpam-4378	188	10	)	)	PUNCT
ejpam-4378	189	1	]	]	PUNCT
ejpam-4378	189	2	}	}	PUNCT
ejpam-4378	189	3	∥k[bn(t)]−k[bm(t)]∥	∥k[bn(t)]−k[bm(t)]∥	NUM
ejpam-4378	189	4	≤∥bn(t)−bm(t)∥+	≤∥bn(t)−bm(t)∥+	ADJ
ejpam-4378	189	5	st−1	st−1	NOUN
ejpam-4378	189	6	{	{	PUNCT
ejpam-4378	189	7	1−	1−	NUM
ejpam-4378	189	8	α	α	DET
ejpam-4378	189	9	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	189	10	1)eα	1)eα	PROPN
ejpam-4378	189	11	(	(	PUNCT
ejpam-4378	189	12	wα	wα	NOUN
ejpam-4378	189	13	1−α	1−α	NUM
ejpam-4378	189	14	)	)	PUNCT
ejpam-4378	189	15	×	×	PROPN
ejpam-4378	189	16	st	st	PROPN
ejpam-4378	190	1	[	[	X
ejpam-4378	190	2	b3	b3	PROPN
ejpam-4378	190	3	+	+	CCONJ
ejpam-4378	190	4	α(ln(t)−	α(ln(t)−	PROPN
ejpam-4378	190	5	lm(t))−	lm(t))−	NOUN
ejpam-4378	190	6	(	(	PUNCT
ejpam-4378	190	7	µ+	µ+	X
ejpam-4378	190	8	γ1	γ1	NOUN
ejpam-4378	190	9	+	+	CCONJ
ejpam-4378	190	10	γ3)(bn(t)−bm(t	γ3)(bn(t)−bm(t	PROPN
ejpam-4378	190	11	)	)	PUNCT
ejpam-4378	190	12	)	)	PUNCT
ejpam-4378	191	1	]	]	PUNCT
ejpam-4378	191	2	}	}	PUNCT
ejpam-4378	191	3	∥k[rn(t)]−k[rm(t)]∥	∥k[rn(t)]−k[rm(t)]∥	X
ejpam-4378	191	4	≤∥rn(t)−rm(t)∥+	≤∥rn(t)−rm(t)∥+	ADJ
ejpam-4378	191	5	st−1	st−1	NOUN
ejpam-4378	191	6	{	{	PUNCT
ejpam-4378	191	7	1−	1−	NUM
ejpam-4378	191	8	α	α	DET
ejpam-4378	191	9	b(α)αγ(α+	b(α)αγ(α+	NOUN
ejpam-4378	191	10	1)eα	1)eα	PROPN
ejpam-4378	191	11	(	(	PUNCT
ejpam-4378	191	12	wα	wα	NOUN
ejpam-4378	191	13	1−α	1−α	NUM
ejpam-4378	191	14	)	)	PUNCT
ejpam-4378	191	15	×	×	PROPN
ejpam-4378	191	16	st	st	PROPN
ejpam-4378	192	1	[	[	X
ejpam-4378	192	2	b4	b4	PROPN
ejpam-4378	192	3	+	+	CCONJ
ejpam-4378	192	4	γ1(sn(t)−	γ1(sn(t)−	PROPN
ejpam-4378	192	5	sm(t	sm(t	PUNCT
ejpam-4378	192	6	)	)	PUNCT
ejpam-4378	192	7	)	)	PUNCT
ejpam-4378	193	1	+	+	CCONJ
ejpam-4378	193	2	γ1(ln(t)−	γ1(ln(t)−	PROPN
ejpam-4378	193	3	lm(t	lm(t	NOUN
ejpam-4378	193	4	)	)	PUNCT
ejpam-4378	193	5	)	)	PUNCT
ejpam-4378	194	1	+	+	CCONJ
ejpam-4378	194	2	γ1(bn(t)−bm(t))−	γ1(bn(t)−bm(t))−	ADJ
ejpam-4378	194	3	(	(	PUNCT
ejpam-4378	194	4	η	η	X
ejpam-4378	194	5	+	+	PROPN
ejpam-4378	194	6	µ)(rn(t)−rm(t	µ)(rn(t)−rm(t	PROPN
ejpam-4378	194	7	)	)	PUNCT
ejpam-4378	194	8	)	)	PUNCT
ejpam-4378	194	9	]	]	PUNCT
ejpam-4378	194	10	}	}	PUNCT
ejpam-4378	194	11	k	k	X
ejpam-4378	194	12	fulfills	fulfill	VERB
ejpam-4378	194	13	the	the	DET
ejpam-4378	194	14	condition	condition	NOUN
ejpam-4378	194	15	associated	associate	VERB
ejpam-4378	194	16	with	with	ADP
ejpam-4378	194	17	theorem	theorem	NOUN
ejpam-4378	194	18	(	(	PUNCT
ejpam-4378	194	19	3	3	NUM
ejpam-4378	194	20	)	)	PUNCT
ejpam-4378	194	21	when	when	SCONJ
ejpam-4378	194	22	θ	θ	PROPN
ejpam-4378	194	23	=	=	SYM
ejpam-4378	194	24	(	(	PUNCT
ejpam-4378	194	25	0	0	NUM
ejpam-4378	194	26	,	,	PUNCT
ejpam-4378	194	27	0	0	NUM
ejpam-4378	194	28	,	,	PUNCT
ejpam-4378	194	29	0	0	NUM
ejpam-4378	194	30	,	,	PUNCT
ejpam-4378	194	31	0	0	NUM
ejpam-4378	194	32	)	)	PUNCT
ejpam-4378	194	33	j.	j.	PROPN
ejpam-4378	194	34	asad	asad	PROPN
ejpam-4378	194	35	et	et	PROPN
ejpam-4378	194	36	al	al	PROPN
ejpam-4378	194	37	.	.	PUNCT
ejpam-4378	194	38	/	/	SYM
ejpam-4378	194	39	eur	eur	PROPN
ejpam-4378	194	40	.	.	PUNCT
ejpam-4378	195	1	j.	j.	PROPN
ejpam-4378	195	2	pure	pure	PROPN
ejpam-4378	195	3	appl	appl	PROPN
ejpam-4378	195	4	.	.	PROPN
ejpam-4378	195	5	math	math	PROPN
ejpam-4378	195	6	,	,	PUNCT
ejpam-4378	195	7	15	15	NUM
ejpam-4378	195	8	(	(	PUNCT
ejpam-4378	195	9	3	3	NUM
ejpam-4378	195	10	)	)	PUNCT
ejpam-4378	195	11	(	(	PUNCT
ejpam-4378	195	12	2022	2022	NUM
ejpam-4378	195	13	)	)	PUNCT
ejpam-4378	195	14	,	,	PUNCT
ejpam-4378	195	15	897	897	NUM
ejpam-4378	195	16	-	-	SYM
ejpam-4378	195	17	915	915	NUM
ejpam-4378	195	18	905	905	NUM
ejpam-4378	195	19	θ	θ	NOUN
ejpam-4378	195	20	=	=	SYM
ejpam-4378	195	21	∥sn(t)−	∥sn(t)−	PROPN
ejpam-4378	195	22	sm(t)∥	sm(t)∥	NOUN
ejpam-4378	195	23	×	×	NOUN
ejpam-4378	195	24	∥	∥	PUNCT
ejpam-4378	195	25	−	−	PROPN
ejpam-4378	195	26	(	(	PUNCT
ejpam-4378	195	27	sn(t	sn(t	X
ejpam-4378	195	28	)	)	PUNCT
ejpam-4378	196	1	+	+	NUM
ejpam-4378	196	2	sm(t))∥+	sm(t))∥+	ADV
ejpam-4378	196	3	b1	b1	VERB
ejpam-4378	196	4	+	+	CCONJ
ejpam-4378	196	5	γ2∥ln(t)−	γ2∥ln(t)−	PROPN
ejpam-4378	196	6	lm(t)∥+	lm(t)∥+	ADJ
ejpam-4378	196	7	γ3∥bn(t)−bm(t)∥	γ3∥bn(t)−bm(t)∥	PROPN
ejpam-4378	196	8	+	+	CCONJ
ejpam-4378	196	9	η∥rn(t)−rm(t)∥	η∥rn(t)−rm(t)∥	PRON
ejpam-4378	196	10	−	−	NOUN
ejpam-4378	196	11	(	(	PUNCT
ejpam-4378	196	12	θ	θ	PROPN
ejpam-4378	196	13	+	+	PUNCT
ejpam-4378	196	14	µ+	µ+	PROPN
ejpam-4378	196	15	γ1)∥sn(t)−	γ1)∥sn(t)−	PROPN
ejpam-4378	196	16	sm(t)∥	sm(t)∥	PROPN
ejpam-4378	197	1	−	−	PROPN
ejpam-4378	197	2	β1∥ln(t)−	β1∥ln(t)−	PROPN
ejpam-4378	197	3	lm(t)∥∥sn(t)−	lm(t)∥∥sn(t)−	PROPN
ejpam-4378	197	4	sm(t)∥	sm(t)∥	PROPN
ejpam-4378	197	5	−	−	PROPN
ejpam-4378	197	6	β2∥bn(t)−bm(t)∥∥sn(t)−	β2∥bn(t)−bm(t)∥∥sn(t)−	PROPN
ejpam-4378	197	7	sm(t)∥∥ln(t)−	sm(t)∥∥ln(t)−	PROPN
ejpam-4378	197	8	lm(t)∥∥	lm(t)∥∥	PUNCT
ejpam-4378	197	9	−	−	PROPN
ejpam-4378	197	10	(	(	PUNCT
ejpam-4378	197	11	ln(t	ln(t	X
ejpam-4378	197	12	)	)	PUNCT
ejpam-4378	197	13	+	+	NUM
ejpam-4378	197	14	lm(t))∥+	lm(t))∥+	ADJ
ejpam-4378	197	15	b2	b2	NOUN
ejpam-4378	197	16	+	+	CCONJ
ejpam-4378	197	17	β1∥ln(t)−	β1∥ln(t)−	PROPN
ejpam-4378	197	18	lm(t)∥∥sn(t)−	lm(t)∥∥sn(t)−	PROPN
ejpam-4378	197	19	sm(t)∥+	sm(t)∥+	ADJ
ejpam-4378	197	20	β2∥bn(t)−bm(t)∥∥sn(t)−	β2∥bn(t)−bm(t)∥∥sn(t)−	PROPN
ejpam-4378	197	21	sm(t)∥	sm(t)∥	PROPN
ejpam-4378	197	22	+	+	CCONJ
ejpam-4378	197	23	θ∥sn(t)−	θ∥sn(t)−	PROPN
ejpam-4378	197	24	sm(t)∥	sm(t)∥	PROPN
ejpam-4378	197	25	−	−	PROPN
ejpam-4378	197	26	(	(	PUNCT
ejpam-4378	197	27	γ1	γ1	NOUN
ejpam-4378	197	28	+	+	CCONJ
ejpam-4378	197	29	γ2	γ2	PROPN
ejpam-4378	197	30	+	+	CCONJ
ejpam-4378	197	31	µ+	µ+	PROPN
ejpam-4378	197	32	α)∥ln(t)−	α)∥ln(t)−	PROPN
ejpam-4378	197	33	lm(t)∥∥bn(t)−bm(t)∥∥	lm(t)∥∥bn(t)−bm(t)∥∥	PROPN
ejpam-4378	197	34	−	−	PROPN
ejpam-4378	197	35	(	(	PUNCT
ejpam-4378	197	36	bn(t	bn(t	X
ejpam-4378	197	37	)	)	PUNCT
ejpam-4378	198	1	+	+	SYM
ejpam-4378	198	2	bm(t))∥	bm(t))∥	ADJ
ejpam-4378	198	3	+	+	CCONJ
ejpam-4378	198	4	b3	b3	PROPN
ejpam-4378	198	5	+	+	CCONJ
ejpam-4378	198	6	α∥ln(t)−	α∥ln(t)−	PROPN
ejpam-4378	198	7	lm(t)∥	lm(t)∥	PROPN
ejpam-4378	198	8	−	−	PROPN
ejpam-4378	198	9	(	(	PUNCT
ejpam-4378	198	10	µ+	µ+	X
ejpam-4378	198	11	γ1	γ1	PROPN
ejpam-4378	198	12	+	+	CCONJ
ejpam-4378	198	13	γ3)∥bn(t)−bm(t)∥∥rn(t)−rm(t)∥∥	γ3)∥bn(t)−bm(t)∥∥rn(t)−rm(t)∥∥	PROPN
ejpam-4378	198	14	−	−	PROPN
ejpam-4378	198	15	(	(	PUNCT
ejpam-4378	198	16	rn(t	rn(t	X
ejpam-4378	198	17	)	)	PUNCT
ejpam-4378	199	1	+	+	X
ejpam-4378	199	2	rm(t))∥	rm(t))∥	X
ejpam-4378	199	3	+	+	NUM
ejpam-4378	199	4	b4	b4	NOUN
ejpam-4378	199	5	+	+	CCONJ
ejpam-4378	199	6	γ1∥sn(t)−	γ1∥sn(t)−	PROPN
ejpam-4378	199	7	sm(t)∥+	sm(t)∥+	ADJ
ejpam-4378	199	8	γ1∥ln(t)−	γ1∥ln(t)−	PROPN
ejpam-4378	199	9	lm(t)∥+	lm(t)∥+	VERB
ejpam-4378	199	10	γ1∥bn(t)−bm(t)∥	γ1∥bn(t)−bm(t)∥	PROPN
ejpam-4378	199	11	−	−	PROPN
ejpam-4378	199	12	(	(	PUNCT
ejpam-4378	199	13	η	η	PROPN
ejpam-4378	199	14	+	+	CCONJ
ejpam-4378	199	15	µ)∥rn(t)−rm(t)∥	µ)∥rn(t)−rm(t)∥	PRON
ejpam-4378	199	16	hence	hence	ADV
ejpam-4378	199	17	proved	prove	VERB
ejpam-4378	199	18	its	its	PRON
ejpam-4378	199	19	stable	stable	NOUN
ejpam-4378	199	20	according	accord	VERB
ejpam-4378	199	21	to	to	ADP
ejpam-4378	199	22	defied	defy	VERB
ejpam-4378	199	23	condition	condition	NOUN
ejpam-4378	199	24	in	in	ADP
ejpam-4378	199	25	theorem	theorem	NOUN
ejpam-4378	199	26	(	(	PUNCT
ejpam-4378	199	27	3	3	NUM
ejpam-4378	199	28	)	)	PUNCT
ejpam-4378	199	29	theorem	theorem	NOUN
ejpam-4378	199	30	5	5	NUM
ejpam-4378	199	31	.	.	PUNCT
ejpam-4378	199	32	uniqueness	uniqueness	NOUN
ejpam-4378	199	33	of	of	ADP
ejpam-4378	199	34	the	the	DET
ejpam-4378	199	35	system	system	NOUN
ejpam-4378	199	36	(	(	PUNCT
ejpam-4378	199	37	6	6	NUM
ejpam-4378	199	38	)	)	PUNCT
ejpam-4378	199	39	solution	solution	NOUN
ejpam-4378	199	40	obtained	obtain	VERB
ejpam-4378	199	41	with	with	ADP
ejpam-4378	199	42	iteration	iteration	NOUN
ejpam-4378	199	43	method	method	NOUN
ejpam-4378	199	44	.	.	PUNCT
ejpam-4378	200	1	concern	concern	NOUN
ejpam-4378	200	2	the	the	DET
ejpam-4378	200	3	following	follow	VERB
ejpam-4378	200	4	hilbert	hilbert	NOUN
ejpam-4378	200	5	space	space	NOUN
ejpam-4378	200	6	h	h	NOUN
ejpam-4378	200	7	=	=	PUNCT
ejpam-4378	200	8	l2((p	l2((p	PROPN
ejpam-4378	200	9	,	,	PUNCT
ejpam-4378	200	10	q)×	q)×	PUNCT
ejpam-4378	200	11	(	(	PUNCT
ejpam-4378	200	12	0	0	NUM
ejpam-4378	200	13	,	,	PUNCT
ejpam-4378	200	14	r	r	NOUN
ejpam-4378	200	15	)	)	PUNCT
ejpam-4378	200	16	)	)	PUNCT
ejpam-4378	201	1	h	h	NOUN
ejpam-4378	201	2	:	:	PUNCT
ejpam-4378	201	3	(	(	PUNCT
ejpam-4378	201	4	p	p	X
ejpam-4378	201	5	,	,	PUNCT
ejpam-4378	201	6	q)×	q)×	X
ejpam-4378	201	7	[	[	X
ejpam-4378	201	8	0	0	NUM
ejpam-4378	201	9	,	,	PUNCT
ejpam-4378	201	10	t	t	X
ejpam-4378	201	11	]	]	PUNCT
ejpam-4378	201	12	→	→	SYM
ejpam-4378	201	13	r	r	NOUN
ejpam-4378	201	14	,	,	PUNCT
ejpam-4378	201	15	∫	∫	PROPN
ejpam-4378	201	16	∫	∫	PROPN
ejpam-4378	201	17	ghdghd	ghdghd	PROPN
ejpam-4378	201	18	<	<	X
ejpam-4378	201	19	∞	∞	PROPN
ejpam-4378	201	20	in	in	ADP
ejpam-4378	201	21	this	this	DET
ejpam-4378	201	22	regard	regard	NOUN
ejpam-4378	201	23	,	,	PUNCT
ejpam-4378	201	24	the	the	DET
ejpam-4378	201	25	following	follow	VERB
ejpam-4378	201	26	operations	operation	NOUN
ejpam-4378	201	27	are	be	AUX
ejpam-4378	201	28	considered	consider	VERB
ejpam-4378	201	29	θ	θ	X
ejpam-4378	201	30	=	=	SYM
ejpam-4378	201	31	(	(	PUNCT
ejpam-4378	201	32	0	0	NUM
ejpam-4378	201	33	,	,	PUNCT
ejpam-4378	201	34	0	0	NUM
ejpam-4378	201	35	,	,	PUNCT
ejpam-4378	201	36	0	0	NUM
ejpam-4378	201	37	,	,	PUNCT
ejpam-4378	201	38	0	0	NUM
ejpam-4378	201	39	)	)	PUNCT
ejpam-4378	201	40	θ	θ	NOUN
ejpam-4378	202	1	=	=	AUX
ejpam-4378	202	2	b1	b1	NOUN
ejpam-4378	202	3	+	+	CCONJ
ejpam-4378	202	4	γ2l(t	γ2l(t	NOUN
ejpam-4378	202	5	)	)	PUNCT
ejpam-4378	203	1	+	+	CCONJ
ejpam-4378	203	2	γ3b(t	γ3b(t	PROPN
ejpam-4378	203	3	)	)	PUNCT
ejpam-4378	204	1	+	+	NUM
ejpam-4378	204	2	ηr(t)−	ηr(t)−	PROPN
ejpam-4378	204	3	µs(t)−	µs(t)−	PROPN
ejpam-4378	204	4	γ1s(t)−	γ1s(t)−	PROPN
ejpam-4378	205	1	β1l(t)s(t)−	β1l(t)s(t)−	PROPN
ejpam-4378	205	2	β2b(t)s(t)−	β2b(t)s(t)−	PROPN
ejpam-4378	205	3	θs(t	θs(t	PRON
ejpam-4378	205	4	)	)	PUNCT
ejpam-4378	205	5	+	+	NUM
ejpam-4378	205	6	b2	b2	NOUN
ejpam-4378	205	7	+	+	CCONJ
ejpam-4378	205	8	β1ls	β1ls	PUNCT
ejpam-4378	205	9	+	+	CCONJ
ejpam-4378	205	10	β2bs	β2bs	PUNCT
ejpam-4378	205	11	+	+	NUM
ejpam-4378	205	12	θs	θ	NOUN
ejpam-4378	205	13	−	−	NOUN
ejpam-4378	205	14	γ1l−	γ1l−	PROPN
ejpam-4378	205	15	γ2l−	γ2l−	PROPN
ejpam-4378	205	16	µl−	µl−	SYM
ejpam-4378	205	17	αl+	αl+	PROPN
ejpam-4378	205	18	b3	b3	PROPN
ejpam-4378	205	19	+	+	CCONJ
ejpam-4378	205	20	αl−	αl−	PUNCT
ejpam-4378	205	21	µb	µb	ADP
ejpam-4378	205	22	−	−	PROPN
ejpam-4378	205	23	γ1b	γ1b	ADP
ejpam-4378	205	24	−	−	PROPN
ejpam-4378	205	25	γ3b	γ3b	PRON
ejpam-4378	205	26	+	+	CCONJ
ejpam-4378	205	27	b4	b4	NOUN
ejpam-4378	205	28	+	+	CCONJ
ejpam-4378	205	29	γ1s	γ1s	NOUN
ejpam-4378	205	30	+	+	CCONJ
ejpam-4378	205	31	γ1l+	γ1l+	NOUN
ejpam-4378	205	32	γ1b	γ1b	NOUN
ejpam-4378	205	33	−	−	PUNCT
ejpam-4378	205	34	ηr−	ηr−	PROPN
ejpam-4378	205	35	µr	µr	ADP
ejpam-4378	205	36	(	(	PUNCT
ejpam-4378	205	37	30	30	NUM
ejpam-4378	205	38	)	)	PUNCT
ejpam-4378	205	39	we	we	PRON
ejpam-4378	205	40	establish	establish	VERB
ejpam-4378	205	41	that	that	SCONJ
ejpam-4378	205	42	the	the	DET
ejpam-4378	205	43	inner	inner	ADJ
ejpam-4378	205	44	product	product	NOUN
ejpam-4378	205	45	of	of	ADP
ejpam-4378	205	46	t	t	PROPN
ejpam-4378	205	47	(	(	PUNCT
ejpam-4378	205	48	s11(t)−	s11(t)−	X
ejpam-4378	205	49	s12(t	s12(t	PROPN
ejpam-4378	205	50	)	)	PUNCT
ejpam-4378	205	51	,	,	PUNCT
ejpam-4378	205	52	l11(t)−	l11(t)−	PROPN
ejpam-4378	205	53	l12(t	l12(t	PROPN
ejpam-4378	205	54	)	)	PUNCT
ejpam-4378	205	55	,	,	PUNCT
ejpam-4378	205	56	b11(t)−b12(t	b11(t)−b12(t	PROPN
ejpam-4378	205	57	)	)	PUNCT
ejpam-4378	205	58	,	,	PUNCT
ejpam-4378	205	59	r11(t)−r12(t	r11(t)−r12(t	PROPN
ejpam-4378	205	60	)	)	PUNCT
ejpam-4378	205	61	,	,	PUNCT
ejpam-4378	205	62	(	(	PUNCT
ejpam-4378	205	63	v1	v1	NOUN
ejpam-4378	205	64	,	,	PUNCT
ejpam-4378	205	65	v2	v2	PROPN
ejpam-4378	205	66	,	,	PUNCT
ejpam-4378	205	67	v3	v3	PROPN
ejpam-4378	205	68	,	,	PUNCT
ejpam-4378	205	69	v4	v4	NOUN
ejpam-4378	205	70	)	)	PUNCT
ejpam-4378	205	71	)	)	PUNCT
ejpam-4378	205	72	where	where	SCONJ
ejpam-4378	205	73	{	{	PUNCT
ejpam-4378	205	74	s11(t	s11(t	ADV
ejpam-4378	205	75	)	)	PUNCT
ejpam-4378	205	76	−	−	PROPN
ejpam-4378	205	77	s12(t	s12(t	PROPN
ejpam-4378	205	78	)	)	PUNCT
ejpam-4378	205	79	,	,	PUNCT
ejpam-4378	205	80	l11(t	l11(t	VERB
ejpam-4378	205	81	)	)	PUNCT
ejpam-4378	206	1	−	−	PROPN
ejpam-4378	206	2	l12(t	l12(t	NOUN
ejpam-4378	206	3	)	)	PUNCT
ejpam-4378	206	4	,	,	PUNCT
ejpam-4378	206	5	b11(t	b11(t	VERB
ejpam-4378	206	6	)	)	PUNCT
ejpam-4378	207	1	−	−	PROPN
ejpam-4378	207	2	b12(t	b12(t	NOUN
ejpam-4378	207	3	)	)	PUNCT
ejpam-4378	207	4	,	,	PUNCT
ejpam-4378	207	5	r11(t	r11(t	PROPN
ejpam-4378	207	6	)	)	PUNCT
ejpam-4378	208	1	−	−	PROPN
ejpam-4378	208	2	r12(t	r12(t	NOUN
ejpam-4378	208	3	)	)	PUNCT
ejpam-4378	208	4	}	}	PUNCT
ejpam-4378	208	5	are	be	AUX
ejpam-4378	208	6	the	the	DET
ejpam-4378	208	7	special	special	ADJ
ejpam-4378	208	8	solutions	solution	NOUN
ejpam-4378	208	9	of	of	ADP
ejpam-4378	208	10	the	the	DET
ejpam-4378	208	11	system	system	NOUN
ejpam-4378	208	12	.	.	PUNCT
ejpam-4378	209	1	[	[	X
ejpam-4378	209	2	b1	b1	NOUN
ejpam-4378	209	3	+	+	CCONJ
ejpam-4378	209	4	γ2(l21(t)−	γ2(l21(t)−	PROPN
ejpam-4378	209	5	l22	l22	NOUN
ejpam-4378	209	6	)	)	PUNCT
ejpam-4378	210	1	+	+	PUNCT
ejpam-4378	210	2	γ3(b31(t)−b32(t	γ3(b31(t)−b32(t	NOUN
ejpam-4378	210	3	)	)	PUNCT
ejpam-4378	210	4	)	)	PUNCT
ejpam-4378	211	1	+	+	CCONJ
ejpam-4378	211	2	η(r41(t)−r42(t))−	η(r41(t)−r42(t))−	ADV
ejpam-4378	211	3	(	(	PUNCT
ejpam-4378	211	4	θ	θ	NOUN
ejpam-4378	211	5	+	+	PUNCT
ejpam-4378	211	6	µ+	µ+	X
ejpam-4378	211	7	γ1)(s11(t)−	γ1)(s11(t)−	PROPN
ejpam-4378	211	8	s12(t	s12(t	PROPN
ejpam-4378	211	9	)	)	PUNCT
ejpam-4378	211	10	)	)	PUNCT
ejpam-4378	211	11	−	−	PROPN
ejpam-4378	211	12	β1(l21(t)−	β1(l21(t)−	SYM
ejpam-4378	211	13	l22(t))(s11(t)−	l22(t))(s11(t)−	X
ejpam-4378	211	14	s12(t))−	s12(t))−	NOUN
ejpam-4378	211	15	β2(b31(t)−b32(t))(s11(t)−	β2(b31(t)−b32(t))(s11(t)−	PROPN
ejpam-4378	211	16	s12(t	s12(t	PROPN
ejpam-4378	211	17	)	)	PUNCT
ejpam-4378	211	18	)	)	PUNCT
ejpam-4378	211	19	,	,	PUNCT
ejpam-4378	211	20	v1	v1	NOUN
ejpam-4378	211	21	]	]	PUNCT
ejpam-4378	211	22	≤	≤	NOUN
ejpam-4378	212	1	[	[	X
ejpam-4378	212	2	b1	b1	NOUN
ejpam-4378	212	3	+	+	CCONJ
ejpam-4378	212	4	γ2∥l21(t)−	γ2∥l21(t)−	PROPN
ejpam-4378	212	5	l22(t)∥∥v1∥+	l22(t)∥∥v1∥+	PRON
ejpam-4378	212	6	γ3∥b31(t)−b32(t)∥∥v1∥+	γ3∥b31(t)−b32(t)∥∥v1∥+	AUX
ejpam-4378	212	7	η∥r41(t)−r42(t)∥∥v1∥	η∥r41(t)−r42(t)∥∥v1∥	NOUN
ejpam-4378	212	8	−	−	PROPN
ejpam-4378	212	9	(	(	PUNCT
ejpam-4378	212	10	θ	θ	PROPN
ejpam-4378	212	11	+	+	PUNCT
ejpam-4378	212	12	µ+	µ+	PROPN
ejpam-4378	212	13	γ1)∥s11(t)−	γ1)∥s11(t)−	PROPN
ejpam-4378	212	14	s22(t)∥∥v1∥	s22(t)∥∥v1∥	ADP
ejpam-4378	212	15	−	−	PROPN
ejpam-4378	212	16	β1∥l21(t)−	β1∥l21(t)−	SYM
ejpam-4378	212	17	l22(t)∥∥s11(t)−	l22(t)∥∥s11(t)−	PROPN
ejpam-4378	212	18	s12(t)∥∥v1∥	s12(t)∥∥v1∥	PROPN
ejpam-4378	212	19	−	−	PROPN
ejpam-4378	212	20	β2∥b31(t)−b32(t)∥∥s11(t)−	β2∥b31(t)−b32(t)∥∥s11(t)−	PUNCT
ejpam-4378	212	21	s12(t)∥∥v1∥	s12(t)∥∥v1∥	PROPN
ejpam-4378	212	22	]	]	PUNCT
ejpam-4378	213	1	[	[	X
ejpam-4378	213	2	b2	b2	NOUN
ejpam-4378	213	3	+	+	CCONJ
ejpam-4378	213	4	β1(l21(t)−	β1(l21(t)−	ADJ
ejpam-4378	213	5	l22(t))(s11(t)−	l22(t))(s11(t)−	X
ejpam-4378	213	6	s12(t	s12(t	NOUN
ejpam-4378	213	7	)	)	PUNCT
ejpam-4378	213	8	)	)	PUNCT
ejpam-4378	214	1	+	+	CCONJ
ejpam-4378	214	2	β2(b31(t)−b32(t))(s11(t)−	β2(b31(t)−b32(t))(s11(t)−	PROPN
ejpam-4378	214	3	s12(t	s12(t	PROPN
ejpam-4378	214	4	)	)	PUNCT
ejpam-4378	214	5	)	)	PUNCT
ejpam-4378	215	1	+	+	CCONJ
ejpam-4378	215	2	θ(s11(t)−	θ(s11(t)−	PROPN
ejpam-4378	215	3	s12(t))−	s12(t))−	PROPN
ejpam-4378	215	4	(	(	PUNCT
ejpam-4378	215	5	γ1	γ1	NOUN
ejpam-4378	215	6	+	+	CCONJ
ejpam-4378	215	7	γ2	γ2	PROPN
ejpam-4378	215	8	+	+	CCONJ
ejpam-4378	215	9	µ+	µ+	PROPN
ejpam-4378	215	10	α)(l21(t)−	α)(l21(t)−	PROPN
ejpam-4378	215	11	l22(t	l22(t	NOUN
ejpam-4378	215	12	)	)	PUNCT
ejpam-4378	215	13	)	)	PUNCT
ejpam-4378	215	14	,	,	PUNCT
ejpam-4378	215	15	v2	v2	PROPN
ejpam-4378	215	16	]	]	PUNCT
ejpam-4378	215	17	≤	≤	NOUN
ejpam-4378	216	1	[	[	X
ejpam-4378	216	2	b2	b2	NOUN
ejpam-4378	216	3	+	+	CCONJ
ejpam-4378	216	4	β1∥(l21(t)−	β1∥(l21(t)−	PROPN
ejpam-4378	216	5	l22(t))∥∥(s11(t)−	l22(t))∥∥(s11(t)−	PROPN
ejpam-4378	216	6	s12(t))∥∥v2∥+	s12(t))∥∥v2∥+	NOUN
ejpam-4378	216	7	β2∥(b31(t)−b32(t))∥∥(s11(t)−	β2∥(b31(t)−b32(t))∥∥(s11(t)−	PROPN
ejpam-4378	216	8	s12(t))∥∥v2∥	s12(t))∥∥v2∥	PROPN
ejpam-4378	216	9	+	+	CCONJ
ejpam-4378	216	10	θ∥(s11(t)−	θ∥(s11(t)−	PROPN
ejpam-4378	216	11	s12(t))∥∥v2∥	s12(t))∥∥v2∥	PROPN
ejpam-4378	216	12	−	−	PROPN
ejpam-4378	216	13	(	(	PUNCT
ejpam-4378	216	14	γ1	γ1	NOUN
ejpam-4378	216	15	+	+	CCONJ
ejpam-4378	216	16	γ2	γ2	PROPN
ejpam-4378	216	17	+	+	CCONJ
ejpam-4378	216	18	µ+	µ+	PROPN
ejpam-4378	216	19	α)∥(l21(t)−	α)∥(l21(t)−	PROPN
ejpam-4378	216	20	l22(t))∥∥v2∥	l22(t))∥∥v2∥	PROPN
ejpam-4378	216	21	]	]	PUNCT
ejpam-4378	216	22	j.	j.	PROPN
ejpam-4378	216	23	asad	asad	PROPN
ejpam-4378	216	24	et	et	PROPN
ejpam-4378	216	25	al	al	PROPN
ejpam-4378	216	26	.	.	PUNCT
ejpam-4378	216	27	/	/	SYM
ejpam-4378	216	28	eur	eur	PROPN
ejpam-4378	216	29	.	.	PUNCT
ejpam-4378	217	1	j.	j.	PROPN
ejpam-4378	217	2	pure	pure	PROPN
ejpam-4378	217	3	appl	appl	PROPN
ejpam-4378	217	4	.	.	PROPN
ejpam-4378	217	5	math	math	PROPN
ejpam-4378	217	6	,	,	PUNCT
ejpam-4378	217	7	15	15	NUM
ejpam-4378	217	8	(	(	PUNCT
ejpam-4378	217	9	3	3	NUM
ejpam-4378	217	10	)	)	PUNCT
ejpam-4378	217	11	(	(	PUNCT
ejpam-4378	217	12	2022	2022	NUM
ejpam-4378	217	13	)	)	PUNCT
ejpam-4378	217	14	,	,	PUNCT
ejpam-4378	217	15	897	897	NUM
ejpam-4378	217	16	-	-	SYM
ejpam-4378	217	17	915	915	NUM
ejpam-4378	217	18	906	906	NUM
ejpam-4378	217	19	[	[	X
ejpam-4378	217	20	b3	b3	PROPN
ejpam-4378	217	21	+	+	CCONJ
ejpam-4378	217	22	α(l21(t)−	α(l21(t)−	PROPN
ejpam-4378	217	23	l22(t))−	l22(t))−	X
ejpam-4378	217	24	(	(	PUNCT
ejpam-4378	217	25	µ+	µ+	X
ejpam-4378	217	26	γ1	γ1	NOUN
ejpam-4378	217	27	+	+	CCONJ
ejpam-4378	217	28	γ3)(b31(t)−b32(t	γ3)(b31(t)−b32(t	NOUN
ejpam-4378	217	29	)	)	PUNCT
ejpam-4378	217	30	)	)	PUNCT
ejpam-4378	217	31	,	,	PUNCT
ejpam-4378	217	32	v3	v3	PROPN
ejpam-4378	217	33	]	]	PUNCT
ejpam-4378	217	34	≤	≤	NOUN
ejpam-4378	218	1	[	[	X
ejpam-4378	218	2	b3	b3	NOUN
ejpam-4378	218	3	+	+	CCONJ
ejpam-4378	218	4	α∥(l21(t)−	α∥(l21(t)−	PROPN
ejpam-4378	218	5	l22(t))∥∥v3∥	l22(t))∥∥v3∥	PROPN
ejpam-4378	218	6	−	−	PROPN
ejpam-4378	218	7	(	(	PUNCT
ejpam-4378	218	8	µ+	µ+	X
ejpam-4378	218	9	γ1	γ1	NOUN
ejpam-4378	218	10	+	+	CCONJ
ejpam-4378	218	11	γ3)∥(b31(t)−b32(t))∥∥v3∥	γ3)∥(b31(t)−b32(t))∥∥v3∥	PROPN
ejpam-4378	218	12	]	]	PUNCT
ejpam-4378	219	1	[	[	X
ejpam-4378	219	2	b4	b4	NOUN
ejpam-4378	219	3	+	+	CCONJ
ejpam-4378	219	4	γ1(s11(t)−	γ1(s11(t)−	ADV
ejpam-4378	219	5	s12(t	s12(t	PROPN
ejpam-4378	219	6	)	)	PUNCT
ejpam-4378	219	7	)	)	PUNCT
ejpam-4378	220	1	+	+	CCONJ
ejpam-4378	220	2	γ1(l21(t)−	γ1(l21(t)−	PROPN
ejpam-4378	220	3	l22(t	l22(t	PROPN
ejpam-4378	220	4	)	)	PUNCT
ejpam-4378	220	5	)	)	PUNCT
ejpam-4378	221	1	+	+	CCONJ
ejpam-4378	221	2	γ1(b31(t)−b32(t))−	γ1(b31(t)−b32(t))−	PRON
ejpam-4378	221	3	(	(	PUNCT
ejpam-4378	221	4	η	η	PROPN
ejpam-4378	221	5	+	+	PROPN
ejpam-4378	221	6	µ)(r41(t)−r42(t	µ)(r41(t)−r42(t	PROPN
ejpam-4378	221	7	)	)	PUNCT
ejpam-4378	221	8	)	)	PUNCT
ejpam-4378	221	9	,	,	PUNCT
ejpam-4378	221	10	v4	v4	NOUN
ejpam-4378	221	11	]	]	PUNCT
ejpam-4378	221	12	≤	≤	NOUN
ejpam-4378	222	1	[	[	X
ejpam-4378	222	2	b4	b4	NOUN
ejpam-4378	222	3	+	+	CCONJ
ejpam-4378	222	4	γ1∥(s11(t)−	γ1∥(s11(t)−	PROPN
ejpam-4378	222	5	s12(t))∥∥v4∥+	s12(t))∥∥v4∥+	PROPN
ejpam-4378	222	6	γ1∥(l21(t)−	γ1∥(l21(t)−	PROPN
ejpam-4378	222	7	l22(t))∥∥v4∥+	l22(t))∥∥v4∥+	PUNCT
ejpam-4378	223	1	γ1∥(b31(t)−b32(t))∥∥v4∥	γ1∥(b31(t)−b32(t))∥∥v4∥	NOUN
ejpam-4378	223	2	−	−	PROPN
ejpam-4378	223	3	(	(	PUNCT
ejpam-4378	223	4	η	η	PROPN
ejpam-4378	223	5	+	+	PROPN
ejpam-4378	223	6	µ)∥(r41(t)−r42(t))∥∥v4∥	µ)∥(r41(t)−r42(t))∥∥v4∥	ADV
ejpam-4378	223	7	]	]	PUNCT
ejpam-4378	223	8	hence	hence	ADV
ejpam-4378	223	9	it	it	PRON
ejpam-4378	223	10	is	be	AUX
ejpam-4378	223	11	converge	converge	ADJ
ejpam-4378	223	12	with	with	ADP
ejpam-4378	223	13	topological	topological	ADJ
ejpam-4378	223	14	concepts	concept	NOUN
ejpam-4378	223	15	in	in	ADP
ejpam-4378	223	16	parameters	parameter	NOUN
ejpam-4378	223	17	(	(	PUNCT
ejpam-4378	223	18	χe1	χe1	INTJ
ejpam-4378	223	19	,	,	PUNCT
ejpam-4378	223	20	χe2	χe2	PROPN
ejpam-4378	223	21	,	,	PUNCT
ejpam-4378	223	22	χe3	χe3	PROPN
ejpam-4378	223	23	,	,	PUNCT
ejpam-4378	223	24	χe4	χe4	PROPN
ejpam-4378	223	25	)	)	PUNCT
ejpam-4378	223	26	∥s(t)−	∥s(t)−	PROPN
ejpam-4378	223	27	s11(t)∥	s11(t)∥	NOUN
ejpam-4378	223	28	,	,	PUNCT
ejpam-4378	223	29	∥s(t)−	∥s(t)−	PROPN
ejpam-4378	223	30	s12(t)∥	s12(t)∥	VERB
ejpam-4378	224	1	≤	≤	NUM
ejpam-4378	225	1	χe1	χe1	PROPN
ejpam-4378	225	2	w	w	PROPN
ejpam-4378	225	3	∥l(t)−	∥l(t)−	PROPN
ejpam-4378	225	4	l21(t)∥	l21(t)∥	NOUN
ejpam-4378	225	5	,	,	PUNCT
ejpam-4378	225	6	∥l(t)−	∥l(t)−	PROPN
ejpam-4378	225	7	l22(t)∥	l22(t)∥	VERB
ejpam-4378	225	8	≤	≤	PROPN
ejpam-4378	225	9	χe2	χe2	VERB
ejpam-4378	225	10	δ	δ	PROPN
ejpam-4378	225	11	∥b(t)−b31(t)∥	∥b(t)−b31(t)∥	PROPN
ejpam-4378	225	12	,	,	PUNCT
ejpam-4378	225	13	∥b(t)−b32(t)∥	∥b(t)−b32(t)∥	NOUN
ejpam-4378	225	14	≤	≤	NUM
ejpam-4378	225	15	χe3	χe3	NOUN
ejpam-4378	225	16	ζ	ζ	PROPN
ejpam-4378	225	17	∥r(t)−r41(t)∥	∥r(t)−r41(t)∥	NOUN
ejpam-4378	225	18	,	,	PUNCT
ejpam-4378	225	19	∥r(t)−r42(t)∥	∥r(t)−r42(t)∥	PROPN
ejpam-4378	225	20	≤	≤	NUM
ejpam-4378	225	21	χe4	χe4	PROPN
ejpam-4378	225	22	h	h	NOUN
ejpam-4378	225	23	where	where	SCONJ
ejpam-4378	225	24	w	w	NOUN
ejpam-4378	225	25	=	=	NOUN
ejpam-4378	225	26	4(b1	4(b1	PROPN
ejpam-4378	225	27	+	+	NUM
ejpam-4378	225	28	γ2∥l21(t)−	γ2∥l21(t)−	NOUN
ejpam-4378	225	29	l22(t)∥+	l22(t)∥+	ADJ
ejpam-4378	225	30	γ3∥b31(t)−b32(t)∥+	γ3∥b31(t)−b32(t)∥+	ADJ
ejpam-4378	225	31	η∥r41(t)−r42(t)∥	η∥r41(t)−r42(t)∥	NOUN
ejpam-4378	226	1	−	−	PROPN
ejpam-4378	226	2	(	(	PUNCT
ejpam-4378	226	3	θ	θ	PROPN
ejpam-4378	226	4	+	+	PUNCT
ejpam-4378	226	5	µ+	µ+	PROPN
ejpam-4378	226	6	γ1)∥s11(t)−	γ1)∥s11(t)−	PROPN
ejpam-4378	226	7	s22(t)∥	s22(t)∥	ADJ
ejpam-4378	226	8	−	−	PROPN
ejpam-4378	226	9	β1∥l21(t)−	β1∥l21(t)−	SYM
ejpam-4378	227	1	l22(t)∥∥s11(t)−	l22(t)∥∥s11(t)−	PROPN
ejpam-4378	227	2	s12(t)∥	s12(t)∥	NOUN
ejpam-4378	227	3	−	−	PROPN
ejpam-4378	227	4	β2∥b31(t)−b32(t)∥∥s11(t)−	β2∥b31(t)−b32(t)∥∥s11(t)−	PUNCT
ejpam-4378	228	1	s12(t)∥)∥v1∥	s12(t)∥)∥v1∥	PROPN
ejpam-4378	228	2	δ	δ	PROPN
ejpam-4378	229	1	=	=	PROPN
ejpam-4378	229	2	4(b2	4(b2	PROPN
ejpam-4378	229	3	+	+	NUM
ejpam-4378	229	4	β1∥(l21(t)−	β1∥(l21(t)−	PROPN
ejpam-4378	229	5	l22(t))∥∥(s11(t)−	l22(t))∥∥(s11(t)−	NOUN
ejpam-4378	229	6	s12(t))∥+	s12(t))∥+	ADV
ejpam-4378	229	7	β2∥(b31(t)−b32(t))∥∥(s11(t)−	β2∥(b31(t)−b32(t))∥∥(s11(t)−	PROPN
ejpam-4378	229	8	s12(t))∥	s12(t))∥	PROPN
ejpam-4378	230	1	+	+	CCONJ
ejpam-4378	230	2	θ∥(s11(t)−	θ∥(s11(t)−	PROPN
ejpam-4378	230	3	s12(t))∥	s12(t))∥	PROPN
ejpam-4378	230	4	−	−	PROPN
ejpam-4378	230	5	(	(	PUNCT
ejpam-4378	230	6	γ1	γ1	NOUN
ejpam-4378	230	7	+	+	CCONJ
ejpam-4378	230	8	γ2	γ2	PROPN
ejpam-4378	230	9	+	+	CCONJ
ejpam-4378	230	10	µ+	µ+	PROPN
ejpam-4378	230	11	α)∥(l21(t)−	α)∥(l21(t)−	PROPN
ejpam-4378	230	12	l22(t))∥)∥v2∥	l22(t))∥)∥v2∥	PUNCT
ejpam-4378	230	13	ζ	ζ	NOUN
ejpam-4378	230	14	=	=	SYM
ejpam-4378	230	15	4(b3	4(b3	PROPN
ejpam-4378	231	1	+	+	CCONJ
ejpam-4378	231	2	α∥(l21(t)−	α∥(l21(t)−	PROPN
ejpam-4378	231	3	l22(t))∥	l22(t))∥	NOUN
ejpam-4378	232	1	−	−	PROPN
ejpam-4378	232	2	(	(	PUNCT
ejpam-4378	232	3	µ+	µ+	X
ejpam-4378	232	4	γ1	γ1	PROPN
ejpam-4378	232	5	+	+	CCONJ
ejpam-4378	232	6	γ3)∥(b31(t)−b32(t))∥)∥v3∥	γ3)∥(b31(t)−b32(t))∥)∥v3∥	NUM
ejpam-4378	232	7	h	h	NOUN
ejpam-4378	233	1	=	=	SYM
ejpam-4378	233	2	4(b4	4(b4	PROPN
ejpam-4378	233	3	+	+	NUM
ejpam-4378	233	4	γ1∥(s11(t)−	γ1∥(s11(t)−	PROPN
ejpam-4378	233	5	s12(t))∥+	s12(t))∥+	ADJ
ejpam-4378	233	6	γ1∥(l21(t)−	γ1∥(l21(t)−	PROPN
ejpam-4378	233	7	l22(t))∥+	l22(t))∥+	PROPN
ejpam-4378	233	8	γ1∥(b31(t)−b32(t))∥	γ1∥(b31(t)−b32(t))∥	X
ejpam-4378	234	1	−	−	PROPN
ejpam-4378	234	2	(	(	PUNCT
ejpam-4378	234	3	η	η	X
ejpam-4378	234	4	+	+	NOUN
ejpam-4378	234	5	µ)∥(r41(t)−r42(t))∥)∥v4∥	µ)∥(r41(t)−r42(t))∥)∥v4∥	NUM
ejpam-4378	234	6	where	where	SCONJ
ejpam-4378	234	7	≤(b1	≤(b1	VERB
ejpam-4378	234	8	+	+	CCONJ
ejpam-4378	234	9	γ2∥l21(t)−	γ2∥l21(t)−	NOUN
ejpam-4378	234	10	l22(t)∥+	l22(t)∥+	ADJ
ejpam-4378	234	11	γ3∥b31(t)−b32(t)∥+	γ3∥b31(t)−b32(t)∥+	ADJ
ejpam-4378	234	12	η∥r41(t)−r42(t)∥	η∥r41(t)−r42(t)∥	NOUN
ejpam-4378	234	13	−	−	PROPN
ejpam-4378	234	14	(	(	PUNCT
ejpam-4378	234	15	θ	θ	PROPN
ejpam-4378	234	16	+	+	PUNCT
ejpam-4378	234	17	µ+	µ+	PROPN
ejpam-4378	234	18	γ1)∥s11(t)−	γ1)∥s11(t)−	PROPN
ejpam-4378	234	19	s22(t)∥	s22(t)∥	ADJ
ejpam-4378	234	20	−	−	PROPN
ejpam-4378	234	21	β1∥l21(t)−	β1∥l21(t)−	SYM
ejpam-4378	235	1	l22(t)∥∥s11(t)−	l22(t)∥∥s11(t)−	PROPN
ejpam-4378	235	2	s12(t)∥	s12(t)∥	NOUN
ejpam-4378	235	3	−	−	PROPN
ejpam-4378	235	4	β2∥b31(t)−b32(t)∥∥s11(t)−	β2∥b31(t)−b32(t)∥∥s11(t)−	X
ejpam-4378	235	5	s12(t)∥	s12(t)∥	NOUN
ejpam-4378	235	6	)	)	PUNCT
ejpam-4378	235	7	̸=	̸=	NOUN
ejpam-4378	235	8	0	0	NUM
ejpam-4378	235	9	≤(b2	≤(b2	NOUN
ejpam-4378	235	10	+	+	X
ejpam-4378	235	11	β1∥(l21(t)−	β1∥(l21(t)−	PROPN
ejpam-4378	235	12	l22(t))∥∥(s11(t)−	l22(t))∥∥(s11(t)−	NOUN
ejpam-4378	235	13	s12(t))∥+	s12(t))∥+	ADV
ejpam-4378	235	14	β2∥(b31(t)−b32(t))∥∥(s11(t)−	β2∥(b31(t)−b32(t))∥∥(s11(t)−	PROPN
ejpam-4378	236	1	s12(t))∥	s12(t))∥	PROPN
ejpam-4378	236	2	+	+	CCONJ
ejpam-4378	236	3	θ∥(s11(t)−	θ∥(s11(t)−	PROPN
ejpam-4378	236	4	s12(t))∥	s12(t))∥	PROPN
ejpam-4378	237	1	−	−	PROPN
ejpam-4378	237	2	(	(	PUNCT
ejpam-4378	237	3	γ1	γ1	NOUN
ejpam-4378	237	4	+	+	CCONJ
ejpam-4378	237	5	γ2	γ2	PROPN
ejpam-4378	237	6	+	+	CCONJ
ejpam-4378	237	7	µ+	µ+	PROPN
ejpam-4378	237	8	α)∥(l21(t)−	α)∥(l21(t)−	PROPN
ejpam-4378	237	9	l22(t))∥	l22(t))∥	PROPN
ejpam-4378	237	10	)	)	PUNCT
ejpam-4378	237	11	̸=	̸=	PROPN
ejpam-4378	237	12	0	0	NUM
ejpam-4378	237	13	≤(b3	≤(b3	PROPN
ejpam-4378	238	1	+	+	CCONJ
ejpam-4378	238	2	α∥(l21(t)−	α∥(l21(t)−	PROPN
ejpam-4378	238	3	l22(t))∥	l22(t))∥	NOUN
ejpam-4378	238	4	−	−	PROPN
ejpam-4378	238	5	(	(	PUNCT
ejpam-4378	238	6	µ+	µ+	X
ejpam-4378	238	7	γ1	γ1	PROPN
ejpam-4378	238	8	+	+	CCONJ
ejpam-4378	238	9	γ3)∥(b31(t)−b32(t))∥	γ3)∥(b31(t)−b32(t))∥	PROPN
ejpam-4378	238	10	)	)	PUNCT
ejpam-4378	238	11	̸=	̸=	NOUN
ejpam-4378	238	12	0	0	NUM
ejpam-4378	238	13	≤(b4	≤(b4	ADJ
ejpam-4378	238	14	+	+	CCONJ
ejpam-4378	238	15	γ1∥(s11(t)−	γ1∥(s11(t)−	PROPN
ejpam-4378	238	16	s12(t))∥+	s12(t))∥+	ADJ
ejpam-4378	238	17	γ1∥(l21(t)−	γ1∥(l21(t)−	PROPN
ejpam-4378	238	18	l22(t))∥+	l22(t))∥+	PROPN
ejpam-4378	238	19	γ1∥(b31(t)−b32(t))∥	γ1∥(b31(t)−b32(t))∥	X
ejpam-4378	239	1	−	−	PROPN
ejpam-4378	239	2	(	(	PUNCT
ejpam-4378	239	3	η	η	PROPN
ejpam-4378	239	4	+	+	X
ejpam-4378	239	5	µ)∥(r41(t)−r42(t))∥	µ)∥(r41(t)−r42(t))∥	X
ejpam-4378	239	6	)	)	PUNCT
ejpam-4378	239	7	̸=	̸=	PROPN
ejpam-4378	239	8	0	0	NUM
ejpam-4378	239	9	where	where	SCONJ
ejpam-4378	239	10	{	{	PUNCT
ejpam-4378	239	11	∥v1∥	∥v1∥	PROPN
ejpam-4378	239	12	,	,	PUNCT
ejpam-4378	239	13	∥v2∥	∥v2∥	PROPN
ejpam-4378	239	14	,	,	PUNCT
ejpam-4378	239	15	∥v3∥	∥v3∥	PROPN
ejpam-4378	239	16	,	,	PUNCT
ejpam-4378	239	17	∥v4∥	∥v4∥	PROPN
ejpam-4378	239	18	}	}	PUNCT
ejpam-4378	239	19	̸=	̸=	PROPN
ejpam-4378	239	20	0	0	NUM
ejpam-4378	239	21	∥(s11(t	∥(s11(t	ADJ
ejpam-4378	239	22	)	)	PUNCT
ejpam-4378	239	23	−	−	PROPN
ejpam-4378	240	1	s12(t))∥	s12(t))∥	PROPN
ejpam-4378	240	2	=	=	SYM
ejpam-4378	240	3	0	0	NUM
ejpam-4378	240	4	,	,	PUNCT
ejpam-4378	240	5	∥(l21(t	∥(l21(t	PROPN
ejpam-4378	240	6	)	)	PUNCT
ejpam-4378	241	1	−	−	PROPN
ejpam-4378	242	1	l22(t))∥	l22(t))∥	NOUN
ejpam-4378	242	2	=	=	SYM
ejpam-4378	242	3	0	0	NUM
ejpam-4378	242	4	,	,	PUNCT
ejpam-4378	242	5	∥(b31(t	∥(b31(t	NUM
ejpam-4378	242	6	)	)	PUNCT
ejpam-4378	242	7	−	−	PROPN
ejpam-4378	242	8	b32(t))∥	b32(t))∥	NOUN
ejpam-4378	242	9	=	=	SYM
ejpam-4378	242	10	0	0	NUM
ejpam-4378	242	11	,	,	PUNCT
ejpam-4378	242	12	∥(r41(t	∥(r41(t	PROPN
ejpam-4378	242	13	)	)	PUNCT
ejpam-4378	242	14	−	−	PROPN
ejpam-4378	243	1	r42(t))∥	r42(t))∥	NOUN
ejpam-4378	243	2	=	=	PUNCT
ejpam-4378	243	3	0	0	PUNCT
ejpam-4378	244	1	so	so	ADV
ejpam-4378	244	2	s11(t	s11(t	ADJ
ejpam-4378	244	3	)	)	PUNCT
ejpam-4378	245	1	=	=	SYM
ejpam-4378	245	2	s12(t	s12(t	PROPN
ejpam-4378	245	3	)	)	PUNCT
ejpam-4378	245	4	,	,	PUNCT
ejpam-4378	245	5	l21(t	l21(t	NOUN
ejpam-4378	245	6	)	)	PUNCT
ejpam-4378	245	7	=	=	SYM
ejpam-4378	245	8	l22(t	l22(t	NOUN
ejpam-4378	245	9	)	)	PUNCT
ejpam-4378	245	10	,	,	PUNCT
ejpam-4378	245	11	b31(t	b31(t	X
ejpam-4378	245	12	)	)	PUNCT
ejpam-4378	245	13	=	=	SYM
ejpam-4378	245	14	b32(t	b32(t	NOUN
ejpam-4378	245	15	)	)	PUNCT
ejpam-4378	245	16	,	,	PUNCT
ejpam-4378	245	17	r41(t	r41(t	ADJ
ejpam-4378	245	18	)	)	PUNCT
ejpam-4378	245	19	=	=	SYM
ejpam-4378	245	20	r42(t	r42(t	NOUN
ejpam-4378	245	21	)	)	PUNCT
ejpam-4378	245	22	this	this	DET
ejpam-4378	245	23	complete	complete	ADJ
ejpam-4378	245	24	proof	proof	NOUN
ejpam-4378	245	25	is	be	AUX
ejpam-4378	245	26	uniqueness	uniqueness	NOUN
ejpam-4378	245	27	.	.	PUNCT
ejpam-4378	246	1	j.	j.	PROPN
ejpam-4378	246	2	asad	asad	PROPN
ejpam-4378	246	3	et	et	PROPN
ejpam-4378	246	4	al	al	PROPN
ejpam-4378	246	5	.	.	PUNCT
ejpam-4378	246	6	/	/	SYM
ejpam-4378	246	7	eur	eur	PROPN
ejpam-4378	246	8	.	.	PUNCT
ejpam-4378	247	1	j.	j.	PROPN
ejpam-4378	247	2	pure	pure	PROPN
ejpam-4378	247	3	appl	appl	PROPN
ejpam-4378	247	4	.	.	PROPN
ejpam-4378	247	5	math	math	PROPN
ejpam-4378	247	6	,	,	PUNCT
ejpam-4378	247	7	15	15	NUM
ejpam-4378	247	8	(	(	PUNCT
ejpam-4378	247	9	3	3	NUM
ejpam-4378	247	10	)	)	PUNCT
ejpam-4378	247	11	(	(	PUNCT
ejpam-4378	247	12	2022	2022	NUM
ejpam-4378	247	13	)	)	PUNCT
ejpam-4378	247	14	,	,	PUNCT
ejpam-4378	247	15	897	897	NUM
ejpam-4378	247	16	-	-	SYM
ejpam-4378	247	17	915	915	NUM
ejpam-4378	247	18	907	907	NUM
ejpam-4378	247	19	5	5	NUM
ejpam-4378	247	20	.	.	PUNCT
ejpam-4378	248	1	advanced	advanced	ADJ
ejpam-4378	248	2	numerical	numerical	ADJ
ejpam-4378	248	3	scheme	scheme	NOUN
ejpam-4378	248	4	here	here	ADV
ejpam-4378	248	5	in	in	ADP
ejpam-4378	248	6	this	this	DET
ejpam-4378	248	7	section	section	NOUN
ejpam-4378	248	8	considering	consider	VERB
ejpam-4378	248	9	the	the	DET
ejpam-4378	248	10	numerical	numerical	ADJ
ejpam-4378	248	11	scheme	scheme	NOUN
ejpam-4378	248	12	is	be	AUX
ejpam-4378	248	13	defined	define	VERB
ejpam-4378	248	14	in	in	ADP
ejpam-4378	248	15	[	[	X
ejpam-4378	248	16	36	36	NUM
ejpam-4378	248	17	]	]	PUNCT
ejpam-4378	248	18	,	,	PUNCT
ejpam-4378	248	19	we	we	PRON
ejpam-4378	248	20	have	have	VERB
ejpam-4378	248	21	{	{	PUNCT
ejpam-4378	248	22	abc	abc	PROPN
ejpam-4378	248	23	0dy(t	0dy(t	PROPN
ejpam-4378	248	24	)	)	PUNCT
ejpam-4378	249	1	=	=	SYM
ejpam-4378	249	2	h(t	h(t	PROPN
ejpam-4378	249	3	,	,	PUNCT
ejpam-4378	249	4	w(t	w(t	PROPN
ejpam-4378	249	5	)	)	PUNCT
ejpam-4378	249	6	)	)	PUNCT
ejpam-4378	250	1	w(0	w(0	PROPN
ejpam-4378	250	2	)	)	PUNCT
ejpam-4378	250	3	=	=	PROPN
ejpam-4378	250	4	w0	w0	PROPN
ejpam-4378	250	5	(	(	PUNCT
ejpam-4378	250	6	31	31	NUM
ejpam-4378	250	7	)	)	PUNCT
ejpam-4378	250	8	we	we	PRON
ejpam-4378	250	9	have	have	VERB
ejpam-4378	250	10	w(t)−	w(t)−	PROPN
ejpam-4378	250	11	w(0	w(0	PROPN
ejpam-4378	250	12	)	)	PUNCT
ejpam-4378	250	13	=	=	SYM
ejpam-4378	251	1	1−	1−	NUM
ejpam-4378	251	2	σ	σ	NUM
ejpam-4378	251	3	abc(σ	abc(σ	PROPN
ejpam-4378	251	4	)	)	PUNCT
ejpam-4378	251	5	h(t	h(t	PROPN
ejpam-4378	251	6	,	,	PUNCT
ejpam-4378	251	7	w(t	w(t	PROPN
ejpam-4378	251	8	)	)	PUNCT
ejpam-4378	251	9	)	)	PUNCT
ejpam-4378	252	1	+	+	CCONJ
ejpam-4378	252	2	α	α	PROPN
ejpam-4378	252	3	γ(σ)×abc(σ	γ(σ)×abc(σ	PROPN
ejpam-4378	252	4	)	)	PUNCT
ejpam-4378	253	1	∫	∫	PROPN
ejpam-4378	253	2	t	t	PROPN
ejpam-4378	253	3	0	0	NUM
ejpam-4378	254	1	h(τ	h(τ	PROPN
ejpam-4378	254	2	,	,	PUNCT
ejpam-4378	254	3	w(τ))(t−	w(τ))(t−	PROPN
ejpam-4378	254	4	τ)σ−1dτ	τ)σ−1dτ	VERB
ejpam-4378	254	5	(	(	PUNCT
ejpam-4378	254	6	32	32	NUM
ejpam-4378	254	7	)	)	PUNCT
ejpam-4378	254	8	at	at	ADP
ejpam-4378	254	9	a	a	DET
ejpam-4378	254	10	given	give	VERB
ejpam-4378	254	11	point	point	NOUN
ejpam-4378	254	12	t(m+1),m	t(m+1),m	ADJ
ejpam-4378	254	13	=	=	SYM
ejpam-4378	254	14	0	0	NUM
ejpam-4378	254	15	,	,	PUNCT
ejpam-4378	254	16	1	1	NUM
ejpam-4378	254	17	,	,	PUNCT
ejpam-4378	254	18	2	2	NUM
ejpam-4378	254	19	,	,	PUNCT
ejpam-4378	254	20	3	3	NUM
ejpam-4378	254	21	,	,	PUNCT
ejpam-4378	254	22	4	4	NUM
ejpam-4378	254	23	,	,	PUNCT
ejpam-4378	254	24	5	5	NUM
ejpam-4378	254	25	,	,	PUNCT
ejpam-4378	254	26	,	,	PUNCT
ejpam-4378	254	27	we	we	PRON
ejpam-4378	254	28	can	can	AUX
ejpam-4378	254	29	write	write	VERB
ejpam-4378	254	30	above	above	ADP
ejpam-4378	254	31	equation	equation	NOUN
ejpam-4378	254	32	w(tm+1)−w(0	w(tm+1)−w(0	NOUN
ejpam-4378	254	33	)	)	PUNCT
ejpam-4378	254	34	=	=	SYM
ejpam-4378	255	1	1−	1−	NUM
ejpam-4378	255	2	σ	σ	NUM
ejpam-4378	255	3	abc(σ	abc(σ	PROPN
ejpam-4378	255	4	)	)	PUNCT
ejpam-4378	255	5	h(tm	h(tm	NOUN
ejpam-4378	255	6	,	,	PUNCT
ejpam-4378	255	7	w(tm))+	w(tm))+	VERB
ejpam-4378	255	8	α	α	PROPN
ejpam-4378	255	9	γ(σ)×abc(σ	γ(σ)×abc(σ	PROPN
ejpam-4378	255	10	)	)	PUNCT
ejpam-4378	255	11	∫	∫	PROPN
ejpam-4378	255	12	tm+1	tm+1	PROPN
ejpam-4378	255	13	0	0	NUM
ejpam-4378	255	14	h(τ	h(τ	PROPN
ejpam-4378	255	15	,	,	PUNCT
ejpam-4378	255	16	w(τ))(tm+1−τ)σ−1dτ	w(τ))(tm+1−τ)σ−1dτ	VERB
ejpam-4378	255	17	(	(	PUNCT
ejpam-4378	255	18	33	33	NUM
ejpam-4378	255	19	)	)	PUNCT
ejpam-4378	255	20	=	=	SYM
ejpam-4378	256	1	1−	1−	NUM
ejpam-4378	256	2	σ	σ	NUM
ejpam-4378	256	3	abc(σ	abc(σ	PROPN
ejpam-4378	256	4	)	)	PUNCT
ejpam-4378	256	5	h(tm	h(tm	NOUN
ejpam-4378	256	6	,	,	PUNCT
ejpam-4378	256	7	w(tm	w(tm	NOUN
ejpam-4378	256	8	)	)	PUNCT
ejpam-4378	256	9	)	)	PUNCT
ejpam-4378	257	1	+	+	CCONJ
ejpam-4378	257	2	α	α	PROPN
ejpam-4378	257	3	γ(σ)×abc(σ	γ(σ)×abc(σ	PROPN
ejpam-4378	257	4	)	)	PUNCT
ejpam-4378	257	5	n∑	n∑	PART
ejpam-4378	258	1	k=0	k=0	PROPN
ejpam-4378	258	2	∫	∫	PROPN
ejpam-4378	258	3	tk+1	tk+1	NUM
ejpam-4378	258	4	tk	tk	PROPN
ejpam-4378	258	5	h(τ	h(τ	PROPN
ejpam-4378	258	6	,	,	PUNCT
ejpam-4378	258	7	w(τ))(tm+1	w(τ))(tm+1	PROPN
ejpam-4378	258	8	−	−	PROPN
ejpam-4378	258	9	τ)σ−1dτ	τ)σ−1dτ	PROPN
ejpam-4378	258	10	(	(	PUNCT
ejpam-4378	258	11	34	34	NUM
ejpam-4378	258	12	)	)	PUNCT
ejpam-4378	258	13	by	by	ADP
ejpam-4378	258	14	using	use	VERB
ejpam-4378	258	15	interval	interval	NOUN
ejpam-4378	259	1	[	[	X
ejpam-4378	259	2	tk	tk	NOUN
ejpam-4378	259	3	,	,	PUNCT
ejpam-4378	259	4	t(k+1	t(k+1	NUM
ejpam-4378	259	5	)	)	PUNCT
ejpam-4378	259	6	]	]	PUNCT
ejpam-4378	259	7	,	,	PUNCT
ejpam-4378	259	8	the	the	DET
ejpam-4378	259	9	function	function	NOUN
ejpam-4378	259	10	h(τ	h(τ	PROPN
ejpam-4378	259	11	,	,	PUNCT
ejpam-4378	259	12	y(τ	y(τ	PROPN
ejpam-4378	259	13	)	)	PUNCT
ejpam-4378	259	14	)	)	PUNCT
ejpam-4378	259	15	,	,	PUNCT
ejpam-4378	259	16	with	with	ADP
ejpam-4378	259	17	the	the	DET
ejpam-4378	259	18	help	help	NOUN
ejpam-4378	259	19	of	of	ADP
ejpam-4378	259	20	two	two	NUM
ejpam-4378	259	21	-	-	PUNCT
ejpam-4378	259	22	steps	step	NOUN
ejpam-4378	259	23	lagrange	lagrange	NOUN
ejpam-4378	259	24	polynomial	polynomial	ADJ
ejpam-4378	259	25	interpolation	interpolation	NOUN
ejpam-4378	259	26	,	,	PUNCT
ejpam-4378	259	27	we	we	PRON
ejpam-4378	259	28	have	have	VERB
ejpam-4378	259	29	pk(τ	pk(τ	NUM
ejpam-4378	259	30	)	)	PUNCT
ejpam-4378	260	1	=	=	SYM
ejpam-4378	260	2	τ	τ	PROPN
ejpam-4378	261	1	−	−	PROPN
ejpam-4378	261	2	tk−1	tk−1	PROPN
ejpam-4378	261	3	tk	tk	PROPN
ejpam-4378	261	4	−	−	PROPN
ejpam-4378	261	5	tk−1	tk−1	PROPN
ejpam-4378	261	6	h(tk	h(tk	PROPN
ejpam-4378	261	7	,	,	PUNCT
ejpam-4378	261	8	w(tk))−	w(tk))−	X
ejpam-4378	261	9	τ	τ	PROPN
ejpam-4378	262	1	−	−	PROPN
ejpam-4378	262	2	tk	tk	PROPN
ejpam-4378	262	3	tk	tk	PROPN
ejpam-4378	262	4	−	−	PROPN
ejpam-4378	263	1	tk−1	tk−1	PROPN
ejpam-4378	263	2	h(tk−1	h(tk−1	NOUN
ejpam-4378	263	3	,	,	PUNCT
ejpam-4378	263	4	w(tk−1	w(tk−1	NOUN
ejpam-4378	263	5	)	)	PUNCT
ejpam-4378	263	6	)	)	PUNCT
ejpam-4378	264	1	=	=	SYM
ejpam-4378	264	2	h(tk	h(tk	NOUN
ejpam-4378	264	3	,	,	PUNCT
ejpam-4378	264	4	w(tk	w(tk	NOUN
ejpam-4378	264	5	)	)	PUNCT
ejpam-4378	264	6	)	)	PUNCT
ejpam-4378	264	7	h	h	NOUN
ejpam-4378	264	8	(	(	PUNCT
ejpam-4378	264	9	τ	τ	PROPN
ejpam-4378	264	10	,	,	PUNCT
ejpam-4378	264	11	tk−1)−	tk−1)−	PROPN
ejpam-4378	264	12	h(tk−1	h(tk−1	NOUN
ejpam-4378	264	13	,	,	PUNCT
ejpam-4378	264	14	w(tk−1	w(tk−1	NOUN
ejpam-4378	264	15	)	)	PUNCT
ejpam-4378	264	16	)	)	PUNCT
ejpam-4378	264	17	h	h	NOUN
ejpam-4378	264	18	(	(	PUNCT
ejpam-4378	264	19	τ	τ	PROPN
ejpam-4378	264	20	,	,	PUNCT
ejpam-4378	264	21	tk	tk	PROPN
ejpam-4378	264	22	)	)	PUNCT
ejpam-4378	264	23	∼=	∼=	PROPN
ejpam-4378	264	24	h(tk	h(tk	NOUN
ejpam-4378	264	25	,	,	PUNCT
ejpam-4378	264	26	w(tk	w(tk	NOUN
ejpam-4378	264	27	)	)	PUNCT
ejpam-4378	264	28	)	)	PUNCT
ejpam-4378	264	29	h	h	NOUN
ejpam-4378	264	30	(	(	PUNCT
ejpam-4378	264	31	τ	τ	PROPN
ejpam-4378	264	32	,	,	PUNCT
ejpam-4378	264	33	tk−1)−	tk−1)−	PROPN
ejpam-4378	264	34	h(tk−1	h(tk−1	NOUN
ejpam-4378	264	35	,	,	PUNCT
ejpam-4378	264	36	w(tk−1	w(tk−1	NOUN
ejpam-4378	264	37	)	)	PUNCT
ejpam-4378	264	38	)	)	PUNCT
ejpam-4378	264	39	h	h	NOUN
ejpam-4378	264	40	(	(	PUNCT
ejpam-4378	264	41	τ	τ	PROPN
ejpam-4378	264	42	,	,	PUNCT
ejpam-4378	264	43	tk	tk	PROPN
ejpam-4378	264	44	)	)	PUNCT
ejpam-4378	264	45	(	(	PUNCT
ejpam-4378	264	46	35	35	NUM
ejpam-4378	264	47	)	)	PUNCT
ejpam-4378	264	48	by	by	ADP
ejpam-4378	264	49	using	use	VERB
ejpam-4378	264	50	(	(	PUNCT
ejpam-4378	264	51	34	34	NUM
ejpam-4378	264	52	)	)	PUNCT
ejpam-4378	264	53	,	,	PUNCT
ejpam-4378	264	54	we	we	PRON
ejpam-4378	264	55	get	get	VERB
ejpam-4378	264	56	wm+1	wm+1	PROPN
ejpam-4378	264	57	=	=	PUNCT
ejpam-4378	264	58	w0	w0	PROPN
ejpam-4378	264	59	+	+	CCONJ
ejpam-4378	264	60	1−	1−	NUM
ejpam-4378	264	61	σ	σ	NUM
ejpam-4378	264	62	abc(σ	abc(σ	PROPN
ejpam-4378	264	63	)	)	PUNCT
ejpam-4378	264	64	h(tm	h(tm	NOUN
ejpam-4378	264	65	,	,	PUNCT
ejpam-4378	264	66	w(tm	w(tm	NOUN
ejpam-4378	264	67	)	)	PUNCT
ejpam-4378	264	68	)	)	PUNCT
ejpam-4378	265	1	+	+	CCONJ
ejpam-4378	265	2	α	α	PROPN
ejpam-4378	265	3	γ(σ)×abc(σ	γ(σ)×abc(σ	PROPN
ejpam-4378	265	4	)	)	PUNCT
ejpam-4378	265	5	m∑	m∑	AUX
ejpam-4378	266	1	k	k	X
ejpam-4378	266	2	=	=	NOUN
ejpam-4378	266	3	o	o	X
ejpam-4378	266	4	(	(	PUNCT
ejpam-4378	266	5	h(tk	h(tk	PROPN
ejpam-4378	266	6	,	,	PUNCT
ejpam-4378	266	7	yk	yk	PROPN
ejpam-4378	266	8	)	)	PUNCT
ejpam-4378	266	9	h	h	NOUN
ejpam-4378	266	10	∫	∫	PROPN
ejpam-4378	266	11	tk+1	tk+1	NUM
ejpam-4378	266	12	tk	tk	PROPN
ejpam-4378	266	13	(	(	PUNCT
ejpam-4378	266	14	τ	τ	PROPN
ejpam-4378	266	15	−	−	PROPN
ejpam-4378	266	16	tk−1)(tn+1	tk−1)(tn+1	NUM
ejpam-4378	266	17	−	−	NOUN
ejpam-4378	266	18	τ)σ−1dτ	τ)σ−1dτ	ADJ
ejpam-4378	266	19	−	−	NOUN
ejpam-4378	266	20	h(tk−1	h(tk−1	PROPN
ejpam-4378	266	21	,	,	PUNCT
ejpam-4378	266	22	yk−1	yk−1	PROPN
ejpam-4378	266	23	)	)	PUNCT
ejpam-4378	267	1	h	h	NOUN
ejpam-4378	267	2	∫	∫	PROPN
ejpam-4378	268	1	tk+1	tk+1	NUM
ejpam-4378	268	2	tk	tk	PROPN
ejpam-4378	268	3	(	(	PUNCT
ejpam-4378	268	4	τ	τ	PROPN
ejpam-4378	268	5	−	−	PROPN
ejpam-4378	268	6	tk)(tm+1	tk)(tm+1	PROPN
ejpam-4378	268	7	−	−	PROPN
ejpam-4378	268	8	τ)σ−1dτ	τ)σ−1dτ	PROPN
ejpam-4378	268	9	)	)	PUNCT
ejpam-4378	268	10	(	(	PUNCT
ejpam-4378	268	11	36	36	NUM
ejpam-4378	268	12	)	)	PUNCT
ejpam-4378	268	13	for	for	ADP
ejpam-4378	268	14	simplification	simplification	NOUN
ejpam-4378	268	15	,	,	PUNCT
ejpam-4378	268	16	we	we	PRON
ejpam-4378	268	17	will	will	AUX
ejpam-4378	268	18	consider	consider	VERB
ejpam-4378	268	19	bσ	bσ	NOUN
ejpam-4378	268	20	,	,	PUNCT
ejpam-4378	268	21	k,1	k,1	PROPN
ejpam-4378	268	22	=	=	SYM
ejpam-4378	268	23	∫	∫	PROPN
ejpam-4378	268	24	tk+1	tk+1	NUM
ejpam-4378	268	25	tk	tk	PROPN
ejpam-4378	268	26	(	(	PUNCT
ejpam-4378	268	27	τ	τ	PROPN
ejpam-4378	268	28	−	−	PROPN
ejpam-4378	268	29	tk−1)(tm+1	tk−1)(tm+1	PROPN
ejpam-4378	268	30	−	−	PROPN
ejpam-4378	268	31	τ)σ−1dτ	τ)σ−1dτ	ADJ
ejpam-4378	268	32	(	(	PUNCT
ejpam-4378	268	33	37	37	NUM
ejpam-4378	268	34	)	)	PUNCT
ejpam-4378	268	35	similarly	similarly	ADV
ejpam-4378	268	36	bσ	bσ	PROPN
ejpam-4378	268	37	,	,	PUNCT
ejpam-4378	268	38	k,2	k,2	PROPN
ejpam-4378	268	39	=	=	SYM
ejpam-4378	268	40	∫	∫	PROPN
ejpam-4378	268	41	tk+1	tk+1	NUM
ejpam-4378	268	42	tk	tk	PROPN
ejpam-4378	268	43	(	(	PUNCT
ejpam-4378	268	44	τ	τ	PROPN
ejpam-4378	268	45	−	−	PROPN
ejpam-4378	268	46	tk)(tm+1	tk)(tm+1	PROPN
ejpam-4378	268	47	−	−	PROPN
ejpam-4378	268	48	τ)σ−1dτ	τ)σ−1dτ	ADJ
ejpam-4378	268	49	(	(	PUNCT
ejpam-4378	268	50	38	38	NUM
ejpam-4378	268	51	)	)	PUNCT
ejpam-4378	268	52	j.	j.	PROPN
ejpam-4378	268	53	asad	asad	PROPN
ejpam-4378	268	54	et	et	PROPN
ejpam-4378	268	55	al	al	PROPN
ejpam-4378	268	56	.	.	PUNCT
ejpam-4378	268	57	/	/	SYM
ejpam-4378	268	58	eur	eur	PROPN
ejpam-4378	268	59	.	.	PUNCT
ejpam-4378	269	1	j.	j.	PROPN
ejpam-4378	269	2	pure	pure	PROPN
ejpam-4378	269	3	appl	appl	PROPN
ejpam-4378	269	4	.	.	PROPN
ejpam-4378	269	5	math	math	PROPN
ejpam-4378	269	6	,	,	PUNCT
ejpam-4378	269	7	15	15	NUM
ejpam-4378	269	8	(	(	PUNCT
ejpam-4378	269	9	3	3	NUM
ejpam-4378	269	10	)	)	PUNCT
ejpam-4378	269	11	(	(	PUNCT
ejpam-4378	269	12	2022	2022	NUM
ejpam-4378	269	13	)	)	PUNCT
ejpam-4378	269	14	,	,	PUNCT
ejpam-4378	269	15	897	897	NUM
ejpam-4378	269	16	-	-	SYM
ejpam-4378	269	17	915	915	NUM
ejpam-4378	269	18	908	908	NUM
ejpam-4378	269	19	bσ	bσ	NOUN
ejpam-4378	269	20	,	,	PUNCT
ejpam-4378	269	21	k,1	k,1	PROPN
ejpam-4378	269	22	=	=	ADJ
ejpam-4378	269	23	hα+1	hα+1	NOUN
ejpam-4378	269	24	(	(	PUNCT
ejpam-4378	269	25	m+	m+	NUM
ejpam-4378	269	26	1−	1−	NUM
ejpam-4378	270	1	k)σ(m−	k)σ(m−	X
ejpam-4378	271	1	k	k	PROPN
ejpam-4378	272	1	+	+	CCONJ
ejpam-4378	272	2	2	2	NUM
ejpam-4378	272	3	+	+	CCONJ
ejpam-4378	272	4	σ)−	σ)−	PROPN
ejpam-4378	272	5	(	(	PUNCT
ejpam-4378	272	6	m−	m−	PROPN
ejpam-4378	272	7	k)σ(m−	k)σ(m−	PROPN
ejpam-4378	272	8	k	k	PROPN
ejpam-4378	273	1	+	+	CCONJ
ejpam-4378	273	2	2	2	NUM
ejpam-4378	273	3	+	+	CCONJ
ejpam-4378	273	4	2	2	NUM
ejpam-4378	273	5	)	)	PUNCT
ejpam-4378	273	6	α(α+	α(α+	NUM
ejpam-4378	273	7	1	1	NUM
ejpam-4378	273	8	)	)	PUNCT
ejpam-4378	273	9	bσ	bσ	NOUN
ejpam-4378	273	10	,	,	PUNCT
ejpam-4378	273	11	k,2	k,2	X
ejpam-4378	273	12	=	=	SYM
ejpam-4378	273	13	hα+1	hα+1	NOUN
ejpam-4378	273	14	(	(	PUNCT
ejpam-4378	273	15	m+	m+	NOUN
ejpam-4378	273	16	1−	1−	NUM
ejpam-4378	273	17	k)σ+1	k)σ+1	NOUN
ejpam-4378	274	1	−	−	PROPN
ejpam-4378	275	1	(	(	PUNCT
ejpam-4378	275	2	m−	m−	PROPN
ejpam-4378	275	3	k)σ(m−	k)σ(m−	PROPN
ejpam-4378	275	4	k	k	PROPN
ejpam-4378	276	1	+	+	CCONJ
ejpam-4378	276	2	1	1	NUM
ejpam-4378	276	3	+	+	NUM
ejpam-4378	276	4	σ	σ	X
ejpam-4378	276	5	)	)	PUNCT
ejpam-4378	276	6	α(α+	α(α+	NUM
ejpam-4378	276	7	1	1	NUM
ejpam-4378	276	8	)	)	PUNCT
ejpam-4378	276	9	by	by	ADP
ejpam-4378	276	10	putting	put	VERB
ejpam-4378	276	11	(	(	PUNCT
ejpam-4378	276	12	37	37	NUM
ejpam-4378	276	13	)	)	PUNCT
ejpam-4378	276	14	and	and	CCONJ
ejpam-4378	276	15	(	(	PUNCT
ejpam-4378	276	16	38	38	NUM
ejpam-4378	276	17	)	)	PUNCT
ejpam-4378	276	18	,	,	PUNCT
ejpam-4378	276	19	we	we	PRON
ejpam-4378	276	20	get	get	VERB
ejpam-4378	276	21	wm+1	wm+1	PROPN
ejpam-4378	276	22	=	=	PUNCT
ejpam-4378	276	23	w0	w0	PROPN
ejpam-4378	276	24	+	+	CCONJ
ejpam-4378	276	25	1−	1−	NUM
ejpam-4378	276	26	σ	σ	NUM
ejpam-4378	276	27	abc(σ	abc(σ	PROPN
ejpam-4378	276	28	)	)	PUNCT
ejpam-4378	276	29	h(tm	h(tm	NOUN
ejpam-4378	276	30	,	,	PUNCT
ejpam-4378	276	31	y(tm	y(tm	NOUN
ejpam-4378	276	32	)	)	PUNCT
ejpam-4378	276	33	)	)	PUNCT
ejpam-4378	277	1	+	+	CCONJ
ejpam-4378	277	2	σ	σ	NUM
ejpam-4378	277	3	abc(σ	abc(σ	PROPN
ejpam-4378	277	4	)	)	PUNCT
ejpam-4378	278	1	n∑	n∑	NOUN
ejpam-4378	278	2	k=0	k=0	PROPN
ejpam-4378	278	3	(	(	PUNCT
ejpam-4378	278	4	hσh(tk	hσh(tk	PROPN
ejpam-4378	278	5	,	,	PUNCT
ejpam-4378	278	6	yk	yk	PROPN
ejpam-4378	278	7	)	)	PUNCT
ejpam-4378	278	8	γ(α+	γ(α+	DET
ejpam-4378	278	9	2	2	NUM
ejpam-4378	278	10	)	)	PUNCT
ejpam-4378	278	11	(	(	PUNCT
ejpam-4378	278	12	(	(	PUNCT
ejpam-4378	278	13	q3	q3	NOUN
ejpam-4378	278	14	)	)	PUNCT
ejpam-4378	278	15	σq2	σq2	VERB
ejpam-4378	278	16	−	−	PROPN
ejpam-4378	278	17	(	(	PUNCT
ejpam-4378	278	18	q4	q4	PROPN
ejpam-4378	278	19	)	)	PUNCT
ejpam-4378	278	20	σq1	σq1	NOUN
ejpam-4378	278	21	)	)	PUNCT
ejpam-4378	279	1	−	−	PROPN
ejpam-4378	279	2	hσh(tk−1	hσh(tk−1	PROPN
ejpam-4378	279	3	,	,	PUNCT
ejpam-4378	279	4	yk−1	yk−1	PROPN
ejpam-4378	279	5	)	)	PUNCT
ejpam-4378	279	6	γ(α+	γ(α+	DET
ejpam-4378	279	7	2	2	NUM
ejpam-4378	279	8	)	)	PUNCT
ejpam-4378	279	9	(	(	PUNCT
ejpam-4378	279	10	(	(	PUNCT
ejpam-4378	279	11	q3	q3	PROPN
ejpam-4378	279	12	)	)	PUNCT
ejpam-4378	279	13	σ+1	σ+1	PROPN
ejpam-4378	279	14	−	−	PROPN
ejpam-4378	279	15	(	(	PUNCT
ejpam-4378	279	16	q4	q4	PROPN
ejpam-4378	279	17	)	)	PUNCT
ejpam-4378	279	18	σq5	σq5	PROPN
ejpam-4378	279	19	)	)	PUNCT
ejpam-4378	279	20	)	)	PUNCT
ejpam-4378	279	21	(	(	PUNCT
ejpam-4378	279	22	39	39	NUM
ejpam-4378	279	23	)	)	PUNCT
ejpam-4378	279	24	we	we	PRON
ejpam-4378	279	25	obtain	obtain	VERB
ejpam-4378	279	26	the	the	DET
ejpam-4378	279	27	following	following	NOUN
ejpam-4378	279	28	for	for	ADP
ejpam-4378	279	29	the	the	DET
ejpam-4378	279	30	system	system	NOUN
ejpam-4378	279	31	of	of	ADP
ejpam-4378	279	32	equations	equation	NOUN
ejpam-4378	279	33	(	(	PUNCT
ejpam-4378	279	34	6	6	NUM
ejpam-4378	279	35	)	)	PUNCT
ejpam-4378	279	36	.	.	PUNCT
ejpam-4378	280	1	sm+1	sm+1	X
ejpam-4378	281	1	=	=	PUNCT
ejpam-4378	281	2	s0	s0	PROPN
ejpam-4378	281	3	+	+	CCONJ
ejpam-4378	281	4	1−	1−	NUM
ejpam-4378	281	5	σ	σ	NUM
ejpam-4378	281	6	abc(σ	abc(σ	PROPN
ejpam-4378	281	7	)	)	PUNCT
ejpam-4378	281	8	f(tm	f(tm	NOUN
ejpam-4378	281	9	,	,	PUNCT
ejpam-4378	281	10	s(tm	s(tm	NOUN
ejpam-4378	281	11	)	)	PUNCT
ejpam-4378	281	12	)	)	PUNCT
ejpam-4378	282	1	+	+	CCONJ
ejpam-4378	282	2	σ	σ	NUM
ejpam-4378	282	3	abc(σ	abc(σ	PROPN
ejpam-4378	282	4	)	)	PUNCT
ejpam-4378	282	5	n∑	n∑	NOUN
ejpam-4378	282	6	k=0	k=0	PROPN
ejpam-4378	282	7	(	(	PUNCT
ejpam-4378	282	8	hσf(tk	hσf(tk	PROPN
ejpam-4378	282	9	,	,	PUNCT
ejpam-4378	282	10	sk	sk	NOUN
ejpam-4378	282	11	)	)	PUNCT
ejpam-4378	282	12	γ(α+	γ(α+	DET
ejpam-4378	282	13	2	2	NUM
ejpam-4378	282	14	)	)	PUNCT
ejpam-4378	282	15	(	(	PUNCT
ejpam-4378	282	16	(	(	PUNCT
ejpam-4378	282	17	q3	q3	NOUN
ejpam-4378	282	18	)	)	PUNCT
ejpam-4378	282	19	σq2	σq2	VERB
ejpam-4378	282	20	−	−	PROPN
ejpam-4378	282	21	(	(	PUNCT
ejpam-4378	282	22	q4	q4	PROPN
ejpam-4378	282	23	)	)	PUNCT
ejpam-4378	282	24	σq1	σq1	NOUN
ejpam-4378	282	25	)	)	PUNCT
ejpam-4378	283	1	−	−	PROPN
ejpam-4378	283	2	hσf(tk−1	hσf(tk−1	PROPN
ejpam-4378	283	3	,	,	PUNCT
ejpam-4378	283	4	sk−1	sk−1	PROPN
ejpam-4378	283	5	)	)	PUNCT
ejpam-4378	283	6	γ(α+	γ(α+	DET
ejpam-4378	283	7	2	2	NUM
ejpam-4378	283	8	)	)	PUNCT
ejpam-4378	283	9	(	(	PUNCT
ejpam-4378	283	10	(	(	PUNCT
ejpam-4378	283	11	q3	q3	PROPN
ejpam-4378	283	12	)	)	PUNCT
ejpam-4378	283	13	σ+1	σ+1	PROPN
ejpam-4378	283	14	−	−	PROPN
ejpam-4378	283	15	(	(	PUNCT
ejpam-4378	283	16	q4	q4	PROPN
ejpam-4378	283	17	)	)	PUNCT
ejpam-4378	283	18	σq5	σq5	PROPN
ejpam-4378	283	19	)	)	PUNCT
ejpam-4378	283	20	)	)	PUNCT
ejpam-4378	283	21	(	(	PUNCT
ejpam-4378	283	22	40	40	NUM
ejpam-4378	283	23	)	)	PUNCT
ejpam-4378	283	24	lm+1	lm+1	PROPN
ejpam-4378	283	25	=	=	PUNCT
ejpam-4378	283	26	l0	l0	PROPN
ejpam-4378	283	27	+	+	CCONJ
ejpam-4378	283	28	1−	1−	NUM
ejpam-4378	283	29	σ	σ	NUM
ejpam-4378	283	30	abc(σ	abc(σ	PROPN
ejpam-4378	283	31	)	)	PUNCT
ejpam-4378	283	32	f(tm	f(tm	NOUN
ejpam-4378	283	33	,	,	PUNCT
ejpam-4378	283	34	l(tm	l(tm	NOUN
ejpam-4378	283	35	)	)	PUNCT
ejpam-4378	283	36	)	)	PUNCT
ejpam-4378	284	1	+	+	CCONJ
ejpam-4378	284	2	σ	σ	NUM
ejpam-4378	284	3	abc(σ	abc(σ	PROPN
ejpam-4378	284	4	)	)	PUNCT
ejpam-4378	284	5	n∑	n∑	NOUN
ejpam-4378	284	6	k=0	k=0	PROPN
ejpam-4378	284	7	(	(	PUNCT
ejpam-4378	284	8	hσf(tk	hσf(tk	PROPN
ejpam-4378	284	9	,	,	PUNCT
ejpam-4378	284	10	lk	lk	PROPN
ejpam-4378	284	11	)	)	PUNCT
ejpam-4378	284	12	γ(α+	γ(α+	DET
ejpam-4378	284	13	2	2	NUM
ejpam-4378	284	14	)	)	PUNCT
ejpam-4378	284	15	(	(	PUNCT
ejpam-4378	284	16	(	(	PUNCT
ejpam-4378	284	17	q3	q3	NOUN
ejpam-4378	284	18	)	)	PUNCT
ejpam-4378	284	19	σq2	σq2	VERB
ejpam-4378	284	20	−	−	PROPN
ejpam-4378	284	21	(	(	PUNCT
ejpam-4378	284	22	q4	q4	PROPN
ejpam-4378	284	23	)	)	PUNCT
ejpam-4378	284	24	σq1	σq1	NOUN
ejpam-4378	284	25	)	)	PUNCT
ejpam-4378	285	1	−	−	PROPN
ejpam-4378	285	2	hσf(tk−1	hσf(tk−1	PROPN
ejpam-4378	285	3	,	,	PUNCT
ejpam-4378	285	4	lk−1	lk−1	NOUN
ejpam-4378	285	5	)	)	PUNCT
ejpam-4378	285	6	γ(α+	γ(α+	PRON
ejpam-4378	285	7	2	2	NUM
ejpam-4378	285	8	)	)	PUNCT
ejpam-4378	285	9	(	(	PUNCT
ejpam-4378	285	10	(	(	PUNCT
ejpam-4378	285	11	q3	q3	PROPN
ejpam-4378	285	12	)	)	PUNCT
ejpam-4378	285	13	σ+1	σ+1	PROPN
ejpam-4378	285	14	−	−	PROPN
ejpam-4378	285	15	(	(	PUNCT
ejpam-4378	285	16	q4	q4	PROPN
ejpam-4378	285	17	)	)	PUNCT
ejpam-4378	285	18	σq5	σq5	PROPN
ejpam-4378	285	19	)	)	PUNCT
ejpam-4378	285	20	)	)	PUNCT
ejpam-4378	285	21	(	(	PUNCT
ejpam-4378	285	22	41	41	NUM
ejpam-4378	285	23	)	)	PUNCT
ejpam-4378	285	24	bm+1	bm+1	NOUN
ejpam-4378	285	25	=	=	X
ejpam-4378	285	26	b0	b0	PROPN
ejpam-4378	285	27	+	+	CCONJ
ejpam-4378	285	28	1−	1−	NUM
ejpam-4378	285	29	σ	σ	NUM
ejpam-4378	285	30	abc(σ	abc(σ	PROPN
ejpam-4378	285	31	)	)	PUNCT
ejpam-4378	285	32	f(tm	f(tm	NOUN
ejpam-4378	285	33	,	,	PUNCT
ejpam-4378	285	34	b(tm	b(tm	NOUN
ejpam-4378	285	35	)	)	PUNCT
ejpam-4378	285	36	)	)	PUNCT
ejpam-4378	286	1	+	+	CCONJ
ejpam-4378	286	2	σ	σ	NUM
ejpam-4378	286	3	abc(σ	abc(σ	PROPN
ejpam-4378	286	4	)	)	PUNCT
ejpam-4378	286	5	n∑	n∑	NOUN
ejpam-4378	286	6	k=0	k=0	PROPN
ejpam-4378	286	7	(	(	PUNCT
ejpam-4378	286	8	hσf(tk	hσf(tk	PROPN
ejpam-4378	286	9	,	,	PUNCT
ejpam-4378	286	10	bk	bk	NOUN
ejpam-4378	286	11	)	)	PUNCT
ejpam-4378	286	12	γ(α+	γ(α+	PRON
ejpam-4378	286	13	2	2	NUM
ejpam-4378	286	14	)	)	PUNCT
ejpam-4378	286	15	(	(	PUNCT
ejpam-4378	286	16	(	(	PUNCT
ejpam-4378	286	17	q3	q3	NOUN
ejpam-4378	286	18	)	)	PUNCT
ejpam-4378	286	19	σq2	σq2	VERB
ejpam-4378	286	20	−	−	PROPN
ejpam-4378	286	21	(	(	PUNCT
ejpam-4378	286	22	q4	q4	PROPN
ejpam-4378	286	23	)	)	PUNCT
ejpam-4378	286	24	σq1	σq1	NOUN
ejpam-4378	286	25	)	)	PUNCT
ejpam-4378	287	1	−	−	PROPN
ejpam-4378	287	2	hσf(tk−1	hσf(tk−1	PROPN
ejpam-4378	287	3	,	,	PUNCT
ejpam-4378	287	4	bk−1	bk−1	NOUN
ejpam-4378	287	5	)	)	PUNCT
ejpam-4378	287	6	γ(α+	γ(α+	DET
ejpam-4378	287	7	2	2	NUM
ejpam-4378	287	8	)	)	PUNCT
ejpam-4378	287	9	(	(	PUNCT
ejpam-4378	287	10	(	(	PUNCT
ejpam-4378	287	11	q3	q3	PROPN
ejpam-4378	287	12	)	)	PUNCT
ejpam-4378	287	13	σ+1	σ+1	PROPN
ejpam-4378	287	14	−	−	PROPN
ejpam-4378	287	15	(	(	PUNCT
ejpam-4378	287	16	q4	q4	PROPN
ejpam-4378	287	17	)	)	PUNCT
ejpam-4378	287	18	σq5	σq5	PROPN
ejpam-4378	287	19	)	)	PUNCT
ejpam-4378	287	20	)	)	PUNCT
ejpam-4378	287	21	(	(	PUNCT
ejpam-4378	287	22	42	42	X
ejpam-4378	287	23	)	)	PUNCT
ejpam-4378	287	24	rm+1	rm+1	PROPN
ejpam-4378	287	25	=	=	AUX
ejpam-4378	287	26	r0	r0	NOUN
ejpam-4378	287	27	+	+	CCONJ
ejpam-4378	287	28	1−	1−	NUM
ejpam-4378	287	29	σ	σ	NUM
ejpam-4378	287	30	abc(σ	abc(σ	PROPN
ejpam-4378	287	31	)	)	PUNCT
ejpam-4378	287	32	f(tm	f(tm	NOUN
ejpam-4378	287	33	,	,	PUNCT
ejpam-4378	287	34	r(tm	r(tm	NOUN
ejpam-4378	287	35	)	)	PUNCT
ejpam-4378	287	36	)	)	PUNCT
ejpam-4378	288	1	+	+	CCONJ
ejpam-4378	288	2	σ	σ	NUM
ejpam-4378	288	3	abc(σ	abc(σ	PROPN
ejpam-4378	288	4	)	)	PUNCT
ejpam-4378	288	5	n∑	n∑	NOUN
ejpam-4378	288	6	k=0	k=0	PROPN
ejpam-4378	288	7	(	(	PUNCT
ejpam-4378	288	8	hσf(tk	hσf(tk	PROPN
ejpam-4378	288	9	,	,	PUNCT
ejpam-4378	288	10	rk	rk	NOUN
ejpam-4378	288	11	)	)	PUNCT
ejpam-4378	288	12	γ(α+	γ(α+	DET
ejpam-4378	288	13	2	2	NUM
ejpam-4378	288	14	)	)	PUNCT
ejpam-4378	288	15	(	(	PUNCT
ejpam-4378	288	16	(	(	PUNCT
ejpam-4378	288	17	q3	q3	NOUN
ejpam-4378	288	18	)	)	PUNCT
ejpam-4378	288	19	σq2	σq2	VERB
ejpam-4378	288	20	−	−	PROPN
ejpam-4378	288	21	(	(	PUNCT
ejpam-4378	288	22	q4	q4	PROPN
ejpam-4378	288	23	)	)	PUNCT
ejpam-4378	288	24	σq1	σq1	NOUN
ejpam-4378	288	25	)	)	PUNCT
ejpam-4378	289	1	−	−	PROPN
ejpam-4378	289	2	hσf(tk−1	hσf(tk−1	PROPN
ejpam-4378	289	3	,	,	PUNCT
ejpam-4378	289	4	rk−1	rk−1	PROPN
ejpam-4378	289	5	)	)	PUNCT
ejpam-4378	289	6	γ(α+	γ(α+	DET
ejpam-4378	289	7	2	2	NUM
ejpam-4378	289	8	)	)	PUNCT
ejpam-4378	289	9	(	(	PUNCT
ejpam-4378	289	10	(	(	PUNCT
ejpam-4378	289	11	q3	q3	PROPN
ejpam-4378	289	12	)	)	PUNCT
ejpam-4378	289	13	σ+1	σ+1	PROPN
ejpam-4378	289	14	−	−	PROPN
ejpam-4378	289	15	(	(	PUNCT
ejpam-4378	289	16	q4	q4	PROPN
ejpam-4378	289	17	)	)	PUNCT
ejpam-4378	289	18	σq5	σq5	PROPN
ejpam-4378	289	19	)	)	PUNCT
ejpam-4378	289	20	)	)	PUNCT
ejpam-4378	289	21	(	(	PUNCT
ejpam-4378	289	22	43	43	NUM
ejpam-4378	289	23	)	)	PUNCT
ejpam-4378	289	24	where	where	SCONJ
ejpam-4378	289	25	q1	q1	NOUN
ejpam-4378	289	26	=	=	PUNCT
ejpam-4378	289	27	m	m	VERB
ejpam-4378	289	28	−	−	PROPN
ejpam-4378	289	29	k	k	NOUN
ejpam-4378	290	1	+	+	CCONJ
ejpam-4378	290	2	2	2	NUM
ejpam-4378	290	3	+	+	NUM
ejpam-4378	290	4	2σ	2σ	NUM
ejpam-4378	290	5	,	,	PUNCT
ejpam-4378	290	6	q2	q2	NOUN
ejpam-4378	290	7	=	=	SYM
ejpam-4378	290	8	m	m	VERB
ejpam-4378	290	9	−	−	PROPN
ejpam-4378	291	1	k	k	X
ejpam-4378	291	2	+	+	CCONJ
ejpam-4378	291	3	2	2	NUM
ejpam-4378	291	4	+	+	SYM
ejpam-4378	291	5	σ	σ	PROPN
ejpam-4378	291	6	,	,	PUNCT
ejpam-4378	291	7	q3	q3	NOUN
ejpam-4378	291	8	=	=	PROPN
ejpam-4378	292	1	m	m	PROPN
ejpam-4378	292	2	+	+	NOUN
ejpam-4378	292	3	1	1	NUM
ejpam-4378	292	4	−	−	NOUN
ejpam-4378	293	1	k	k	NOUN
ejpam-4378	293	2	,	,	PUNCT
ejpam-4378	293	3	q4	q4	PROPN
ejpam-4378	293	4	=	=	PROPN
ejpam-4378	293	5	m	m	VERB
ejpam-4378	293	6	−	−	PROPN
ejpam-4378	293	7	k	k	PROPN
ejpam-4378	293	8	and	and	CCONJ
ejpam-4378	293	9	q5	q5	PROPN
ejpam-4378	293	10	=	=	SYM
ejpam-4378	293	11	m−	m−	PROPN
ejpam-4378	293	12	k	k	PROPN
ejpam-4378	294	1	+	+	CCONJ
ejpam-4378	294	2	1	1	NUM
ejpam-4378	294	3	+	+	NUM
ejpam-4378	294	4	σ	σ	PROPN
ejpam-4378	294	5	6	6	NUM
ejpam-4378	294	6	.	.	PUNCT
ejpam-4378	295	1	results	result	NOUN
ejpam-4378	295	2	and	and	CCONJ
ejpam-4378	295	3	discussion	discussion	VERB
ejpam-4378	295	4	the	the	DET
ejpam-4378	295	5	mathematical	mathematical	ADJ
ejpam-4378	295	6	analysis	analysis	NOUN
ejpam-4378	295	7	of	of	ADP
ejpam-4378	295	8	the	the	DET
ejpam-4378	295	9	epidemic	epidemic	NOUN
ejpam-4378	295	10	computer	computer	NOUN
ejpam-4378	295	11	virus	virus	NOUN
ejpam-4378	295	12	model	model	NOUN
ejpam-4378	295	13	with	with	ADP
ejpam-4378	295	14	the	the	DET
ejpam-4378	295	15	effect	effect	NOUN
ejpam-4378	295	16	of	of	ADP
ejpam-4378	295	17	external	external	ADJ
ejpam-4378	295	18	and	and	CCONJ
ejpam-4378	295	19	internal	internal	ADJ
ejpam-4378	295	20	storage	storage	NOUN
ejpam-4378	295	21	media	medium	NOUN
ejpam-4378	295	22	is	be	AUX
ejpam-4378	295	23	proposed	propose	VERB
ejpam-4378	295	24	with	with	ADP
ejpam-4378	295	25	the	the	DET
ejpam-4378	295	26	new	new	ADJ
ejpam-4378	295	27	fractional	fractional	ADJ
ejpam-4378	295	28	operator	operator	NOUN
ejpam-4378	295	29	with	with	ADP
ejpam-4378	295	30	given	give	VERB
ejpam-4378	295	31	parameters	parameter	NOUN
ejpam-4378	295	32	details	detail	NOUN
ejpam-4378	295	33	in	in	ADP
ejpam-4378	295	34	[	[	X
ejpam-4378	295	35	41	41	NUM
ejpam-4378	295	36	]	]	PUNCT
ejpam-4378	295	37	.	.	PUNCT
ejpam-4378	296	1	numerical	numerical	PROPN
ejpam-4378	296	2	simulation	simulation	PROPN
ejpam-4378	296	3	carried	carry	VERB
ejpam-4378	296	4	out	out	ADP
ejpam-4378	296	5	with	with	ADP
ejpam-4378	296	6	abc	abc	PROPN
ejpam-4378	296	7	fractional	fractional	PROPN
ejpam-4378	296	8	derivative	derivative	NOUN
ejpam-4378	296	9	for	for	ADP
ejpam-4378	296	10	computer	computer	NOUN
ejpam-4378	296	11	virus	virus	NOUN
ejpam-4378	296	12	model	model	NOUN
ejpam-4378	296	13	.	.	PUNCT
ejpam-4378	297	1	the	the	DET
ejpam-4378	297	2	graphs	graph	NOUN
ejpam-4378	297	3	of	of	ADP
ejpam-4378	297	4	the	the	DET
ejpam-4378	297	5	approximate	approximate	ADJ
ejpam-4378	297	6	solutions	solution	NOUN
ejpam-4378	297	7	in	in	ADP
ejpam-4378	297	8	different	different	ADJ
ejpam-4378	297	9	j.	j.	PROPN
ejpam-4378	297	10	asad	asad	PROPN
ejpam-4378	297	11	et	et	PROPN
ejpam-4378	297	12	al	al	PROPN
ejpam-4378	297	13	.	.	PUNCT
ejpam-4378	297	14	/	/	SYM
ejpam-4378	297	15	eur	eur	PROPN
ejpam-4378	297	16	.	.	PUNCT
ejpam-4378	298	1	j.	j.	PROPN
ejpam-4378	298	2	pure	pure	PROPN
ejpam-4378	298	3	appl	appl	PROPN
ejpam-4378	298	4	.	.	PROPN
ejpam-4378	298	5	math	math	PROPN
ejpam-4378	298	6	,	,	PUNCT
ejpam-4378	298	7	15	15	NUM
ejpam-4378	298	8	(	(	PUNCT
ejpam-4378	298	9	3	3	NUM
ejpam-4378	298	10	)	)	PUNCT
ejpam-4378	298	11	(	(	PUNCT
ejpam-4378	298	12	2022	2022	NUM
ejpam-4378	298	13	)	)	PUNCT
ejpam-4378	298	14	,	,	PUNCT
ejpam-4378	298	15	897	897	NUM
ejpam-4378	298	16	-	-	SYM
ejpam-4378	298	17	915	915	NUM
ejpam-4378	298	18	909	909	NUM
ejpam-4378	298	19	fractional	fractional	ADJ
ejpam-4378	298	20	order	order	NOUN
ejpam-4378	298	21	are	be	AUX
ejpam-4378	298	22	provided	provide	VERB
ejpam-4378	298	23	in	in	ADP
ejpam-4378	298	24	figures	figure	NOUN
ejpam-4378	298	25	1	1	NUM
ejpam-4378	298	26	-	-	SYM
ejpam-4378	298	27	8	8	NUM
ejpam-4378	298	28	,	,	PUNCT
ejpam-4378	298	29	which	which	PRON
ejpam-4378	298	30	show	show	VERB
ejpam-4378	298	31	the	the	DET
ejpam-4378	298	32	memory	memory	NOUN
ejpam-4378	298	33	effect	effect	NOUN
ejpam-4378	298	34	.	.	PUNCT
ejpam-4378	299	1	it	it	PRON
ejpam-4378	299	2	can	can	AUX
ejpam-4378	299	3	be	be	AUX
ejpam-4378	299	4	observed	observe	VERB
ejpam-4378	299	5	that	that	SCONJ
ejpam-4378	299	6	internal	internal	ADJ
ejpam-4378	299	7	and	and	CCONJ
ejpam-4378	299	8	external	external	ADJ
ejpam-4378	299	9	storage	storage	NOUN
ejpam-4378	299	10	media	medium	NOUN
ejpam-4378	299	11	are	be	AUX
ejpam-4378	299	12	the	the	DET
ejpam-4378	299	13	rich	rich	ADJ
ejpam-4378	299	14	source	source	NOUN
ejpam-4378	299	15	of	of	ADP
ejpam-4378	299	16	the	the	DET
ejpam-4378	299	17	spread	spread	NOUN
ejpam-4378	299	18	of	of	ADP
ejpam-4378	299	19	the	the	DET
ejpam-4378	299	20	virus	virus	NOUN
ejpam-4378	299	21	.	.	PUNCT
ejpam-4378	300	1	also	also	ADV
ejpam-4378	300	2	,	,	PUNCT
ejpam-4378	300	3	we	we	PRON
ejpam-4378	300	4	found	find	VERB
ejpam-4378	300	5	that	that	SCONJ
ejpam-4378	300	6	external	external	ADJ
ejpam-4378	300	7	storage	storage	NOUN
ejpam-4378	300	8	media	medium	NOUN
ejpam-4378	300	9	has	have	VERB
ejpam-4378	300	10	significant	significant	ADJ
ejpam-4378	300	11	effect	effect	NOUN
ejpam-4378	300	12	for	for	ADP
ejpam-4378	300	13	the	the	DET
ejpam-4378	300	14	viral	viral	ADJ
ejpam-4378	300	15	the	the	DET
ejpam-4378	300	16	infection	infection	NOUN
ejpam-4378	300	17	.	.	PUNCT
ejpam-4378	301	1	from	from	ADP
ejpam-4378	301	2	figures	figure	NOUN
ejpam-4378	301	3	(	(	PUNCT
ejpam-4378	301	4	1	1	NUM
ejpam-4378	301	5	)	)	PUNCT
ejpam-4378	301	6	and	and	CCONJ
ejpam-4378	301	7	(	(	PUNCT
ejpam-4378	301	8	5	5	NUM
ejpam-4378	301	9	)	)	PUNCT
ejpam-4378	301	10	,	,	PUNCT
ejpam-4378	301	11	we	we	PRON
ejpam-4378	301	12	can	can	AUX
ejpam-4378	301	13	see	see	VERB
ejpam-4378	301	14	that	that	SCONJ
ejpam-4378	301	15	susceptible	susceptible	ADJ
ejpam-4378	301	16	computers	computer	NOUN
ejpam-4378	301	17	decreases	decrease	VERB
ejpam-4378	301	18	due	due	ADP
ejpam-4378	301	19	to	to	ADP
ejpam-4378	301	20	the	the	DET
ejpam-4378	301	21	rapid	rapid	ADJ
ejpam-4378	301	22	increase	increase	NOUN
ejpam-4378	301	23	in	in	ADP
ejpam-4378	301	24	latent	latent	NOUN
ejpam-4378	301	25	,	,	PUNCT
ejpam-4378	301	26	breaking	break	VERB
ejpam-4378	301	27	-	-	PUNCT
ejpam-4378	301	28	out	out	NOUN
ejpam-4378	301	29	,	,	PUNCT
ejpam-4378	301	30	and	and	CCONJ
ejpam-4378	301	31	recovered	recover	VERB
ejpam-4378	301	32	computers	computer	NOUN
ejpam-4378	301	33	.	.	PUNCT
ejpam-4378	302	1	in	in	ADP
ejpam-4378	302	2	fig	fig	NOUN
ejpam-4378	302	3	(	(	PUNCT
ejpam-4378	302	4	2	2	NUM
ejpam-4378	302	5	)	)	PUNCT
ejpam-4378	302	6	,	,	PUNCT
ejpam-4378	302	7	the	the	DET
ejpam-4378	302	8	simulation	simulation	NOUN
ejpam-4378	302	9	show	show	VERB
ejpam-4378	302	10	the	the	DET
ejpam-4378	302	11	dynamics	dynamic	NOUN
ejpam-4378	302	12	of	of	ADP
ejpam-4378	302	13	latent	latent	NOUN
ejpam-4378	302	14	computers	computer	NOUN
ejpam-4378	302	15	increase	increase	VERB
ejpam-4378	302	16	with	with	ADP
ejpam-4378	302	17	time	time	NOUN
ejpam-4378	302	18	while	while	SCONJ
ejpam-4378	302	19	decreasing	decrease	VERB
ejpam-4378	302	20	with	with	ADP
ejpam-4378	302	21	time	time	NOUN
ejpam-4378	302	22	.	.	PUNCT
ejpam-4378	303	1	in	in	ADP
ejpam-4378	303	2	fig	fig	NOUN
ejpam-4378	303	3	(	(	PUNCT
ejpam-4378	303	4	3	3	NUM
ejpam-4378	303	5	)	)	PUNCT
ejpam-4378	303	6	,	,	PUNCT
ejpam-4378	303	7	we	we	PRON
ejpam-4378	303	8	can	can	AUX
ejpam-4378	303	9	see	see	VERB
ejpam-4378	303	10	that	that	SCONJ
ejpam-4378	303	11	the	the	DET
ejpam-4378	303	12	break	break	NOUN
ejpam-4378	303	13	out	out	ADP
ejpam-4378	303	14	of	of	ADP
ejpam-4378	303	15	computers	computer	NOUN
ejpam-4378	303	16	also	also	ADV
ejpam-4378	303	17	growing	grow	VERB
ejpam-4378	303	18	fast	fast	ADV
ejpam-4378	303	19	and	and	CCONJ
ejpam-4378	303	20	causing	cause	VERB
ejpam-4378	303	21	rapid	rapid	ADJ
ejpam-4378	303	22	and	and	CCONJ
ejpam-4378	303	23	severe	severe	ADJ
ejpam-4378	303	24	damage	damage	NOUN
ejpam-4378	303	25	to	to	ADP
ejpam-4378	303	26	computers	computer	NOUN
ejpam-4378	303	27	.	.	PUNCT
ejpam-4378	304	1	in	in	ADP
ejpam-4378	304	2	fig	fig	NOUN
ejpam-4378	304	3	(	(	PUNCT
ejpam-4378	304	4	4	4	NUM
ejpam-4378	304	5	)	)	PUNCT
ejpam-4378	304	6	,	,	PUNCT
ejpam-4378	304	7	the	the	DET
ejpam-4378	304	8	recovery	recovery	NOUN
ejpam-4378	304	9	of	of	ADP
ejpam-4378	304	10	computers	computer	NOUN
ejpam-4378	304	11	is	be	AUX
ejpam-4378	304	12	smoothly	smoothly	ADV
ejpam-4378	304	13	increasing	increase	VERB
ejpam-4378	304	14	due	due	ADP
ejpam-4378	304	15	to	to	ADP
ejpam-4378	304	16	the	the	DET
ejpam-4378	304	17	effect	effect	NOUN
ejpam-4378	304	18	of	of	ADP
ejpam-4378	304	19	fractional	fractional	ADJ
ejpam-4378	304	20	operator	operator	NOUN
ejpam-4378	304	21	.	.	PUNCT
ejpam-4378	305	1	from	from	ADP
ejpam-4378	305	2	figures	figure	NOUN
ejpam-4378	305	3	6	6	NUM
ejpam-4378	305	4	-	-	SYM
ejpam-4378	305	5	8	8	NUM
ejpam-4378	305	6	,	,	PUNCT
ejpam-4378	305	7	the	the	DET
ejpam-4378	305	8	simulation	simulation	NOUN
ejpam-4378	305	9	shows	show	VERB
ejpam-4378	305	10	the	the	DET
ejpam-4378	305	11	quick	quick	ADJ
ejpam-4378	305	12	increase	increase	NOUN
ejpam-4378	305	13	in	in	ADP
ejpam-4378	305	14	latent	latent	NOUN
ejpam-4378	305	15	and	and	CCONJ
ejpam-4378	305	16	break	break	VERB
ejpam-4378	305	17	out	out	ADP
ejpam-4378	305	18	computers	computer	NOUN
ejpam-4378	305	19	with	with	ADP
ejpam-4378	305	20	time	time	NOUN
ejpam-4378	305	21	t	t	PROPN
ejpam-4378	305	22	and	and	CCONJ
ejpam-4378	305	23	causes	cause	VERB
ejpam-4378	305	24	the	the	DET
ejpam-4378	305	25	disturbance	disturbance	NOUN
ejpam-4378	305	26	rapidly	rapidly	ADV
ejpam-4378	305	27	and	and	CCONJ
ejpam-4378	305	28	slow	slow	VERB
ejpam-4378	305	29	the	the	DET
ejpam-4378	305	30	recovery	recovery	NOUN
ejpam-4378	305	31	rate	rate	NOUN
ejpam-4378	305	32	of	of	ADP
ejpam-4378	305	33	computers	computer	NOUN
ejpam-4378	305	34	.	.	PUNCT
ejpam-4378	306	1	figure	figure	VERB
ejpam-4378	306	2	1	1	NUM
ejpam-4378	306	3	:	:	PUNCT
ejpam-4378	306	4	simulation	simulation	NOUN
ejpam-4378	306	5	of	of	ADP
ejpam-4378	306	6	s(t	s(t	PROPN
ejpam-4378	306	7	)	)	PUNCT
ejpam-4378	306	8	compartment	compartment	NOUN
ejpam-4378	306	9	with	with	ADP
ejpam-4378	306	10	proposed	propose	VERB
ejpam-4378	306	11	fractional	fractional	ADJ
ejpam-4378	306	12	order	order	NOUN
ejpam-4378	306	13	scheme	scheme	NOUN
ejpam-4378	306	14	figure	figure	NOUN
ejpam-4378	306	15	2	2	NUM
ejpam-4378	306	16	:	:	PUNCT
ejpam-4378	306	17	simulation	simulation	NOUN
ejpam-4378	306	18	of	of	ADP
ejpam-4378	306	19	l(t	l(t	PROPN
ejpam-4378	306	20	)	)	PUNCT
ejpam-4378	306	21	compartment	compartment	NOUN
ejpam-4378	306	22	with	with	ADP
ejpam-4378	306	23	proposed	propose	VERB
ejpam-4378	306	24	fractional	fractional	ADJ
ejpam-4378	306	25	order	order	NOUN
ejpam-4378	306	26	scheme	scheme	NOUN
ejpam-4378	306	27	j.	j.	PROPN
ejpam-4378	306	28	asad	asad	PROPN
ejpam-4378	306	29	et	et	PROPN
ejpam-4378	306	30	al	al	PROPN
ejpam-4378	306	31	.	.	PUNCT
ejpam-4378	306	32	/	/	SYM
ejpam-4378	306	33	eur	eur	PROPN
ejpam-4378	306	34	.	.	PUNCT
ejpam-4378	307	1	j.	j.	PROPN
ejpam-4378	307	2	pure	pure	PROPN
ejpam-4378	307	3	appl	appl	PROPN
ejpam-4378	307	4	.	.	PROPN
ejpam-4378	307	5	math	math	PROPN
ejpam-4378	307	6	,	,	PUNCT
ejpam-4378	307	7	15	15	NUM
ejpam-4378	307	8	(	(	PUNCT
ejpam-4378	307	9	3	3	NUM
ejpam-4378	307	10	)	)	PUNCT
ejpam-4378	307	11	(	(	PUNCT
ejpam-4378	307	12	2022	2022	NUM
ejpam-4378	307	13	)	)	PUNCT
ejpam-4378	307	14	,	,	PUNCT
ejpam-4378	307	15	897	897	NUM
ejpam-4378	307	16	-	-	SYM
ejpam-4378	307	17	915	915	NUM
ejpam-4378	307	18	910	910	NUM
ejpam-4378	307	19	figure	figure	NOUN
ejpam-4378	307	20	3	3	NUM
ejpam-4378	307	21	:	:	PUNCT
ejpam-4378	307	22	simulation	simulation	NOUN
ejpam-4378	307	23	of	of	ADP
ejpam-4378	307	24	b(t	b(t	PROPN
ejpam-4378	307	25	)	)	PUNCT
ejpam-4378	307	26	compartment	compartment	NOUN
ejpam-4378	307	27	with	with	ADP
ejpam-4378	307	28	proposed	propose	VERB
ejpam-4378	307	29	fractional	fractional	ADJ
ejpam-4378	307	30	order	order	NOUN
ejpam-4378	307	31	scheme	scheme	NOUN
ejpam-4378	307	32	figure	figure	NOUN
ejpam-4378	307	33	4	4	NUM
ejpam-4378	307	34	:	:	PUNCT
ejpam-4378	307	35	simulation	simulation	NOUN
ejpam-4378	307	36	of	of	ADP
ejpam-4378	307	37	r(t	r(t	NOUN
ejpam-4378	307	38	)	)	PUNCT
ejpam-4378	307	39	compartment	compartment	NOUN
ejpam-4378	307	40	with	with	ADP
ejpam-4378	307	41	proposed	propose	VERB
ejpam-4378	307	42	fractional	fractional	ADJ
ejpam-4378	307	43	order	order	NOUN
ejpam-4378	307	44	scheme	scheme	NOUN
ejpam-4378	307	45	figure	figure	NOUN
ejpam-4378	307	46	5	5	NUM
ejpam-4378	307	47	:	:	PUNCT
ejpam-4378	307	48	simulation	simulation	NOUN
ejpam-4378	307	49	of	of	ADP
ejpam-4378	307	50	s(t	s(t	PROPN
ejpam-4378	307	51	)	)	PUNCT
ejpam-4378	307	52	compartment	compartment	NOUN
ejpam-4378	307	53	with	with	ADP
ejpam-4378	307	54	proposed	propose	VERB
ejpam-4378	307	55	fractional	fractional	ADJ
ejpam-4378	307	56	order	order	NOUN
ejpam-4378	307	57	scheme	scheme	NOUN
ejpam-4378	307	58	j.	j.	PROPN
ejpam-4378	307	59	asad	asad	PROPN
ejpam-4378	307	60	et	et	PROPN
ejpam-4378	307	61	al	al	PROPN
ejpam-4378	307	62	.	.	PUNCT
ejpam-4378	307	63	/	/	SYM
ejpam-4378	307	64	eur	eur	PROPN
ejpam-4378	307	65	.	.	PUNCT
ejpam-4378	308	1	j.	j.	PROPN
ejpam-4378	308	2	pure	pure	PROPN
ejpam-4378	308	3	appl	appl	PROPN
ejpam-4378	308	4	.	.	PROPN
ejpam-4378	308	5	math	math	PROPN
ejpam-4378	308	6	,	,	PUNCT
ejpam-4378	308	7	15	15	NUM
ejpam-4378	308	8	(	(	PUNCT
ejpam-4378	308	9	3	3	NUM
ejpam-4378	308	10	)	)	PUNCT
ejpam-4378	308	11	(	(	PUNCT
ejpam-4378	308	12	2022	2022	NUM
ejpam-4378	308	13	)	)	PUNCT
ejpam-4378	308	14	,	,	PUNCT
ejpam-4378	308	15	897	897	NUM
ejpam-4378	308	16	-	-	SYM
ejpam-4378	308	17	915	915	NUM
ejpam-4378	308	18	911	911	NUM
ejpam-4378	308	19	figure	figure	NOUN
ejpam-4378	308	20	6	6	NUM
ejpam-4378	308	21	:	:	PUNCT
ejpam-4378	308	22	simulation	simulation	NOUN
ejpam-4378	308	23	of	of	ADP
ejpam-4378	308	24	l(t	l(t	PROPN
ejpam-4378	308	25	)	)	PUNCT
ejpam-4378	308	26	compartment	compartment	NOUN
ejpam-4378	308	27	with	with	ADP
ejpam-4378	308	28	proposed	propose	VERB
ejpam-4378	308	29	fractional	fractional	ADJ
ejpam-4378	308	30	order	order	NOUN
ejpam-4378	308	31	scheme	scheme	NOUN
ejpam-4378	308	32	figure	figure	NOUN
ejpam-4378	308	33	7	7	NUM
ejpam-4378	308	34	:	:	PUNCT
ejpam-4378	308	35	simulation	simulation	NOUN
ejpam-4378	308	36	of	of	ADP
ejpam-4378	308	37	b(t	b(t	PROPN
ejpam-4378	308	38	)	)	PUNCT
ejpam-4378	308	39	compartment	compartment	NOUN
ejpam-4378	308	40	with	with	ADP
ejpam-4378	308	41	proposed	propose	VERB
ejpam-4378	308	42	fractional	fractional	ADJ
ejpam-4378	308	43	order	order	NOUN
ejpam-4378	308	44	scheme	scheme	NOUN
ejpam-4378	308	45	figure	figure	NOUN
ejpam-4378	308	46	8	8	NUM
ejpam-4378	308	47	:	:	PUNCT
ejpam-4378	308	48	simulation	simulation	NOUN
ejpam-4378	308	49	of	of	ADP
ejpam-4378	308	50	r(t	r(t	NOUN
ejpam-4378	308	51	)	)	PUNCT
ejpam-4378	308	52	compartment	compartment	NOUN
ejpam-4378	308	53	with	with	ADP
ejpam-4378	308	54	proposed	propose	VERB
ejpam-4378	308	55	fractional	fractional	ADJ
ejpam-4378	308	56	order	order	NOUN
ejpam-4378	308	57	scheme	scheme	NOUN
ejpam-4378	308	58	references	reference	NOUN
ejpam-4378	308	59	912	912	NUM
ejpam-4378	308	60	7	7	NUM
ejpam-4378	308	61	.	.	PUNCT
ejpam-4378	308	62	conclusion	conclusion	NOUN
ejpam-4378	308	63	in	in	ADP
ejpam-4378	308	64	this	this	DET
ejpam-4378	308	65	work	work	NOUN
ejpam-4378	308	66	,	,	PUNCT
ejpam-4378	308	67	we	we	PRON
ejpam-4378	308	68	presented	present	VERB
ejpam-4378	308	69	the	the	DET
ejpam-4378	308	70	new	new	ADJ
ejpam-4378	308	71	result	result	NOUN
ejpam-4378	308	72	for	for	ADP
ejpam-4378	308	73	the	the	DET
ejpam-4378	308	74	fractional	fractional	ADJ
ejpam-4378	308	75	order	order	NOUN
ejpam-4378	308	76	computer	computer	NOUN
ejpam-4378	308	77	virus	virus	NOUN
ejpam-4378	308	78	model	model	NOUN
ejpam-4378	308	79	with	with	ADP
ejpam-4378	308	80	abc	abc	PROPN
ejpam-4378	308	81	fractional	fractional	PROPN
ejpam-4378	308	82	derivative	derivative	NOUN
ejpam-4378	308	83	and	and	CCONJ
ejpam-4378	308	84	the	the	DET
ejpam-4378	308	85	atangana	atangana	PROPN
ejpam-4378	308	86	-	-	PUNCT
ejpam-4378	308	87	toufik	toufik	PROPN
ejpam-4378	308	88	scheme	scheme	NOUN
ejpam-4378	308	89	.	.	PUNCT
ejpam-4378	309	1	qualitative	qualitative	ADJ
ejpam-4378	309	2	analysis	analysis	NOUN
ejpam-4378	309	3	with	with	ADP
ejpam-4378	309	4	positivity	positivity	NOUN
ejpam-4378	309	5	and	and	CCONJ
ejpam-4378	309	6	boundedness	boundedness	NOUN
ejpam-4378	309	7	of	of	ADP
ejpam-4378	309	8	the	the	DET
ejpam-4378	309	9	proposed	propose	VERB
ejpam-4378	309	10	system	system	NOUN
ejpam-4378	309	11	was	be	AUX
ejpam-4378	309	12	also	also	ADV
ejpam-4378	309	13	discussed	discuss	VERB
ejpam-4378	309	14	.	.	PUNCT
ejpam-4378	310	1	additionally	additionally	ADV
ejpam-4378	310	2	,	,	PUNCT
ejpam-4378	310	3	the	the	DET
ejpam-4378	310	4	uniqueness	uniqueness	NOUN
ejpam-4378	310	5	and	and	CCONJ
ejpam-4378	310	6	stability	stability	NOUN
ejpam-4378	310	7	of	of	ADP
ejpam-4378	310	8	the	the	DET
ejpam-4378	310	9	proposed	propose	VERB
ejpam-4378	310	10	scheme	scheme	NOUN
ejpam-4378	310	11	of	of	ADP
ejpam-4378	310	12	iterative	iterative	NOUN
ejpam-4378	310	13	results	result	NOUN
ejpam-4378	310	14	are	be	AUX
ejpam-4378	310	15	proved	prove	VERB
ejpam-4378	310	16	by	by	ADP
ejpam-4378	310	17	using	use	VERB
ejpam-4378	310	18	the	the	DET
ejpam-4378	310	19	fixed	fix	VERB
ejpam-4378	310	20	point	point	NOUN
ejpam-4378	310	21	theorem	theorem	VERB
ejpam-4378	310	22	.	.	PUNCT
ejpam-4378	311	1	finally	finally	ADV
ejpam-4378	311	2	,	,	PUNCT
ejpam-4378	311	3	numerical	numerical	ADJ
ejpam-4378	311	4	simulations	simulation	NOUN
ejpam-4378	311	5	at	at	ADP
ejpam-4378	311	6	different	different	ADJ
ejpam-4378	311	7	fractional	fractional	ADJ
ejpam-4378	311	8	orders	order	NOUN
ejpam-4378	311	9	are	be	AUX
ejpam-4378	311	10	obtained	obtain	VERB
ejpam-4378	311	11	,	,	PUNCT
ejpam-4378	311	12	which	which	PRON
ejpam-4378	311	13	support	support	VERB
ejpam-4378	311	14	the	the	DET
ejpam-4378	311	15	theoretical	theoretical	ADJ
ejpam-4378	311	16	results	result	NOUN
ejpam-4378	311	17	of	of	ADP
ejpam-4378	311	18	the	the	DET
ejpam-4378	311	19	computer	computer	NOUN
ejpam-4378	311	20	virus	virus	NOUN
ejpam-4378	311	21	model	model	NOUN
ejpam-4378	311	22	.	.	PUNCT
ejpam-4378	312	1	it	it	PRON
ejpam-4378	312	2	is	be	AUX
ejpam-4378	312	3	observed	observe	VERB
ejpam-4378	312	4	that	that	SCONJ
ejpam-4378	312	5	internal	internal	ADJ
ejpam-4378	312	6	and	and	CCONJ
ejpam-4378	312	7	external	external	ADJ
ejpam-4378	312	8	storage	storage	NOUN
ejpam-4378	312	9	media	medium	NOUN
ejpam-4378	312	10	are	be	AUX
ejpam-4378	312	11	the	the	DET
ejpam-4378	312	12	cause	cause	NOUN
ejpam-4378	312	13	of	of	ADP
ejpam-4378	312	14	the	the	DET
ejpam-4378	312	15	spread	spread	NOUN
ejpam-4378	312	16	of	of	ADP
ejpam-4378	312	17	the	the	DET
ejpam-4378	312	18	virus	virus	NOUN
ejpam-4378	312	19	.	.	PUNCT
ejpam-4378	313	1	also	also	ADV
ejpam-4378	313	2	,	,	PUNCT
ejpam-4378	313	3	we	we	PRON
ejpam-4378	313	4	found	find	VERB
ejpam-4378	313	5	that	that	SCONJ
ejpam-4378	313	6	all	all	DET
ejpam-4378	313	7	external	external	ADJ
ejpam-4378	313	8	storage	storage	NOUN
ejpam-4378	313	9	media	medium	NOUN
ejpam-4378	313	10	has	have	VERB
ejpam-4378	313	11	a	a	DET
ejpam-4378	313	12	greater	great	ADJ
ejpam-4378	313	13	effect	effect	NOUN
ejpam-4378	313	14	on	on	ADP
ejpam-4378	313	15	viral	viral	ADJ
ejpam-4378	313	16	infection	infection	NOUN
ejpam-4378	313	17	with	with	ADP
ejpam-4378	313	18	increasing	increase	VERB
ejpam-4378	313	19	the	the	DET
ejpam-4378	313	20	time	time	NOUN
ejpam-4378	313	21	t.	t.	NOUN
ejpam-4378	313	22	these	these	DET
ejpam-4378	313	23	results	result	NOUN
ejpam-4378	313	24	are	be	AUX
ejpam-4378	313	25	very	very	ADV
ejpam-4378	313	26	helpful	helpful	ADJ
ejpam-4378	313	27	to	to	PART
ejpam-4378	313	28	control	control	VERB
ejpam-4378	313	29	the	the	DET
ejpam-4378	313	30	virus	virus	NOUN
ejpam-4378	313	31	infection	infection	NOUN
ejpam-4378	313	32	in	in	ADP
ejpam-4378	313	33	computers	computer	NOUN
ejpam-4378	313	34	to	to	PART
ejpam-4378	313	35	overcome	overcome	VERB
ejpam-4378	313	36	the	the	DET
ejpam-4378	313	37	threats	threat	NOUN
ejpam-4378	313	38	on	on	ADP
ejpam-4378	313	39	results	result	NOUN
ejpam-4378	313	40	.	.	PUNCT
ejpam-4378	314	1	in	in	ADP
ejpam-4378	314	2	future	future	ADJ
ejpam-4378	314	3	work	work	NOUN
ejpam-4378	314	4	,	,	PUNCT
ejpam-4378	314	5	we	we	PRON
ejpam-4378	314	6	intend	intend	VERB
ejpam-4378	314	7	to	to	PART
ejpam-4378	314	8	expand	expand	VERB
ejpam-4378	314	9	the	the	DET
ejpam-4378	314	10	modeling	modeling	NOUN
ejpam-4378	314	11	of	of	ADP
ejpam-4378	314	12	a	a	DET
ejpam-4378	314	13	computer	computer	NOUN
ejpam-4378	314	14	virus	virus	NOUN
ejpam-4378	314	15	in	in	ADP
ejpam-4378	314	16	the	the	DET
ejpam-4378	314	17	stochastic	stochastic	ADJ
ejpam-4378	314	18	fractional	fractional	ADJ
ejpam-4378	314	19	-	-	PUNCT
ejpam-4378	314	20	order	order	NOUN
ejpam-4378	314	21	derivatives	derivative	NOUN
ejpam-4378	314	22	as	as	ADV
ejpam-4378	314	23	well	well	ADV
ejpam-4378	314	24	as	as	ADP
ejpam-4378	314	25	partial	partial	ADJ
ejpam-4378	314	26	differential	differential	NOUN
ejpam-4378	314	27	equation	equation	NOUN
ejpam-4378	314	28	.	.	PUNCT
ejpam-4378	315	1	acknowledgements	acknowledgement	NOUN
ejpam-4378	315	2	the	the	DET
ejpam-4378	315	3	authors	author	NOUN
ejpam-4378	315	4	hussein	hussein	VERB
ejpam-4378	315	5	shanak	shanak	PROPN
ejpam-4378	315	6	and	and	CCONJ
ejpam-4378	315	7	jihad	jihad	PROPN
ejpam-4378	315	8	asad	asad	PROPN
ejpam-4378	315	9	would	would	AUX
ejpam-4378	315	10	like	like	VERB
ejpam-4378	315	11	to	to	PART
ejpam-4378	315	12	thank	thank	VERB
ejpam-4378	315	13	palestine	palestine	PROPN
ejpam-4378	315	14	technical	technical	PROPN
ejpam-4378	315	15	universitykadoorie	universitykadoorie	PROPN
ejpam-4378	315	16	for	for	ADP
ejpam-4378	315	17	supporting	support	VERB
ejpam-4378	315	18	this	this	DET
ejpam-4378	315	19	project	project	NOUN
ejpam-4378	315	20	.	.	PUNCT
ejpam-4378	316	1	references	reference	NOUN
ejpam-4378	316	2	[	[	X
ejpam-4378	316	3	1	1	NUM
ejpam-4378	316	4	]	]	PUNCT
ejpam-4378	316	5	ali	ali	PROPN
ejpam-4378	316	6	akgül	akgül	PROPN
ejpam-4378	316	7	.	.	PUNCT
ejpam-4378	317	1	a	a	DET
ejpam-4378	317	2	novel	novel	ADJ
ejpam-4378	317	3	method	method	NOUN
ejpam-4378	317	4	for	for	ADP
ejpam-4378	317	5	a	a	DET
ejpam-4378	317	6	fractional	fractional	ADJ
ejpam-4378	317	7	derivative	derivative	NOUN
ejpam-4378	317	8	with	with	ADP
ejpam-4378	317	9	non	non	ADJ
ejpam-4378	317	10	-	-	ADJ
ejpam-4378	317	11	local	local	ADJ
ejpam-4378	317	12	and	and	CCONJ
ejpam-4378	317	13	non	non	ADJ
ejpam-4378	317	14	-	-	ADJ
ejpam-4378	317	15	singular	singular	ADJ
ejpam-4378	317	16	kernel	kernel	NOUN
ejpam-4378	317	17	.	.	PUNCT
ejpam-4378	318	1	chaos	chaos	NOUN
ejpam-4378	318	2	,	,	PUNCT
ejpam-4378	318	3	solitons	soliton	NOUN
ejpam-4378	318	4	&	&	CCONJ
ejpam-4378	318	5	fractals	fractal	NOUN
ejpam-4378	318	6	,	,	PUNCT
ejpam-4378	318	7	114:478–482	114:478–482	NUM
ejpam-4378	318	8	,	,	PUNCT
ejpam-4378	318	9	2018	2018	NUM
ejpam-4378	318	10	.	.	PUNCT
ejpam-4378	319	1	[	[	X
ejpam-4378	319	2	2	2	NUM
ejpam-4378	319	3	]	]	PUNCT
ejpam-4378	319	4	esra	esra	PROPN
ejpam-4378	319	5	karatas	karatas	PROPN
ejpam-4378	320	1	akgül	akgül	PROPN
ejpam-4378	320	2	.	.	PUNCT
ejpam-4378	321	1	solutions	solution	NOUN
ejpam-4378	321	2	of	of	ADP
ejpam-4378	321	3	the	the	DET
ejpam-4378	321	4	linear	linear	ADJ
ejpam-4378	321	5	and	and	CCONJ
ejpam-4378	321	6	nonlinear	nonlinear	ADJ
ejpam-4378	321	7	differential	differential	ADJ
ejpam-4378	321	8	equations	equation	NOUN
ejpam-4378	321	9	within	within	ADP
ejpam-4378	321	10	the	the	DET
ejpam-4378	321	11	generalized	generalized	ADJ
ejpam-4378	321	12	fractional	fractional	ADJ
ejpam-4378	321	13	derivatives	derivative	NOUN
ejpam-4378	321	14	.	.	PUNCT
ejpam-4378	322	1	chaos	chaos	NOUN
ejpam-4378	322	2	:	:	PUNCT
ejpam-4378	322	3	an	an	DET
ejpam-4378	322	4	interdisciplinary	interdisciplinary	ADJ
ejpam-4378	322	5	journal	journal	NOUN
ejpam-4378	322	6	of	of	ADP
ejpam-4378	322	7	nonlinear	nonlinear	ADJ
ejpam-4378	322	8	science	science	NOUN
ejpam-4378	322	9	,	,	PUNCT
ejpam-4378	322	10	29(2):023108	29(2):023108	NUM
ejpam-4378	322	11	,	,	PUNCT
ejpam-4378	322	12	2019	2019	NUM
ejpam-4378	322	13	.	.	PUNCT
ejpam-4378	323	1	[	[	X
ejpam-4378	323	2	3	3	X
ejpam-4378	323	3	]	]	X
ejpam-4378	323	4	a	a	DET
ejpam-4378	323	5	atangana	atangana	PROPN
ejpam-4378	323	6	,	,	PUNCT
ejpam-4378	323	7	a	a	DET
ejpam-4378	323	8	akgül	akgül	NOUN
ejpam-4378	323	9	,	,	PUNCT
ejpam-4378	323	10	and	and	CCONJ
ejpam-4378	323	11	km	km	NOUN
ejpam-4378	323	12	owolabi	owolabi	NOUN
ejpam-4378	323	13	.	.	PUNCT
ejpam-4378	324	1	analysis	analysis	NOUN
ejpam-4378	324	2	of	of	ADP
ejpam-4378	324	3	fractal	fractal	ADJ
ejpam-4378	324	4	fractional	fractional	ADJ
ejpam-4378	324	5	differential	differential	NOUN
ejpam-4378	324	6	equations	equation	NOUN
ejpam-4378	324	7	,	,	PUNCT
ejpam-4378	324	8	alexandria	alexandria	PROPN
ejpam-4378	324	9	eng	eng	PROPN
ejpam-4378	324	10	.	.	PUNCT
ejpam-4378	325	1	j	j	PROPN
ejpam-4378	325	2	,	,	PUNCT
ejpam-4378	325	3	59:1117–1134	59:1117–1134	NUM
ejpam-4378	325	4	,	,	PUNCT
ejpam-4378	325	5	2020	2020	NUM
ejpam-4378	325	6	.	.	PUNCT
ejpam-4378	326	1	[	[	X
ejpam-4378	326	2	4	4	X
ejpam-4378	326	3	]	]	X
ejpam-4378	326	4	a	a	DET
ejpam-4378	326	5	atangana	atangana	PROPN
ejpam-4378	326	6	,	,	PUNCT
ejpam-4378	326	7	e	e	PROPN
ejpam-4378	326	8	bonyah	bonyah	NOUN
ejpam-4378	326	9	,	,	PUNCT
ejpam-4378	326	10	and	and	CCONJ
ejpam-4378	326	11	aa	aa	PROPN
ejpam-4378	326	12	elsadany	elsadany	NOUN
ejpam-4378	326	13	.	.	PUNCT
ejpam-4378	327	1	a	a	DET
ejpam-4378	327	2	fractional	fractional	ADJ
ejpam-4378	327	3	order	order	NOUN
ejpam-4378	327	4	optimal	optimal	ADJ
ejpam-4378	327	5	4d	4d	NUM
ejpam-4378	327	6	chaotic	chaotic	ADJ
ejpam-4378	327	7	financial	financial	ADJ
ejpam-4378	327	8	model	model	NOUN
ejpam-4378	327	9	with	with	ADP
ejpam-4378	327	10	mittag	mittag	ADJ
ejpam-4378	327	11	-	-	PUNCT
ejpam-4378	327	12	leffler	leffler	NOUN
ejpam-4378	327	13	law	law	NOUN
ejpam-4378	327	14	.	.	PUNCT
ejpam-4378	328	1	chinese	chinese	ADJ
ejpam-4378	328	2	journal	journal	PROPN
ejpam-4378	328	3	of	of	ADP
ejpam-4378	328	4	physics	physics	PROPN
ejpam-4378	328	5	,	,	PUNCT
ejpam-4378	328	6	65:38–53	65:38–53	PROPN
ejpam-4378	328	7	,	,	PUNCT
ejpam-4378	328	8	2020	2020	NUM
ejpam-4378	328	9	.	.	PUNCT
ejpam-4378	329	1	[	[	X
ejpam-4378	329	2	5	5	NUM
ejpam-4378	329	3	]	]	PUNCT
ejpam-4378	329	4	abdon	abdon	NOUN
ejpam-4378	329	5	atangana	atangana	PROPN
ejpam-4378	329	6	and	and	CCONJ
ejpam-4378	329	7	ali	ali	PROPN
ejpam-4378	329	8	akgül	akgül	PROPN
ejpam-4378	329	9	.	.	PUNCT
ejpam-4378	330	1	can	can	AUX
ejpam-4378	330	2	transfer	transfer	VERB
ejpam-4378	330	3	function	function	NOUN
ejpam-4378	330	4	and	and	CCONJ
ejpam-4378	330	5	bode	bode	ADJ
ejpam-4378	330	6	diagram	diagram	NOUN
ejpam-4378	330	7	be	be	AUX
ejpam-4378	330	8	obtained	obtain	VERB
ejpam-4378	330	9	from	from	ADP
ejpam-4378	330	10	sumudu	sumudu	NOUN
ejpam-4378	330	11	transform	transform	NOUN
ejpam-4378	330	12	.	.	PUNCT
ejpam-4378	331	1	alexandria	alexandria	PROPN
ejpam-4378	331	2	engineering	engineering	PROPN
ejpam-4378	331	3	journal	journal	PROPN
ejpam-4378	331	4	,	,	PUNCT
ejpam-4378	331	5	59(4):1971–1984	59(4):1971–1984	PRON
ejpam-4378	331	6	,	,	PUNCT
ejpam-4378	331	7	2020	2020	NUM
ejpam-4378	331	8	.	.	PUNCT
ejpam-4378	332	1	[	[	X
ejpam-4378	332	2	6	6	NUM
ejpam-4378	332	3	]	]	PUNCT
ejpam-4378	332	4	abdon	abdon	NOUN
ejpam-4378	332	5	atangana	atangana	PROPN
ejpam-4378	332	6	and	and	CCONJ
ejpam-4378	332	7	badr	badr	PROPN
ejpam-4378	332	8	saad	saad	PROPN
ejpam-4378	332	9	t	t	PROPN
ejpam-4378	332	10	alkahtani	alkahtani	PROPN
ejpam-4378	332	11	.	.	PUNCT
ejpam-4378	333	1	analysis	analysis	NOUN
ejpam-4378	333	2	of	of	ADP
ejpam-4378	333	3	the	the	DET
ejpam-4378	333	4	keller	keller	PROPN
ejpam-4378	333	5	–	–	PUNCT
ejpam-4378	333	6	segel	segel	NOUN
ejpam-4378	333	7	model	model	NOUN
ejpam-4378	333	8	with	with	ADP
ejpam-4378	333	9	a	a	DET
ejpam-4378	333	10	fractional	fractional	ADJ
ejpam-4378	333	11	derivative	derivative	NOUN
ejpam-4378	333	12	without	without	ADP
ejpam-4378	333	13	singular	singular	ADJ
ejpam-4378	333	14	kernel	kernel	PROPN
ejpam-4378	333	15	.	.	PUNCT
ejpam-4378	334	1	entropy	entropy	PROPN
ejpam-4378	334	2	,	,	PUNCT
ejpam-4378	334	3	17(6):4439–4453	17(6):4439–4453	NUM
ejpam-4378	334	4	,	,	PUNCT
ejpam-4378	334	5	2015	2015	NUM
ejpam-4378	334	6	.	.	PUNCT
ejpam-4378	335	1	[	[	X
ejpam-4378	335	2	7	7	X
ejpam-4378	335	3	]	]	X
ejpam-4378	335	4	abdon	abdon	NOUN
ejpam-4378	335	5	atangana	atangana	PROPN
ejpam-4378	335	6	and	and	CCONJ
ejpam-4378	335	7	dumitru	dumitru	PROPN
ejpam-4378	335	8	baleanu	baleanu	NOUN
ejpam-4378	335	9	.	.	PUNCT
ejpam-4378	336	1	new	new	ADJ
ejpam-4378	336	2	fractional	fractional	ADJ
ejpam-4378	336	3	derivatives	derivative	NOUN
ejpam-4378	336	4	with	with	ADP
ejpam-4378	336	5	nonlocal	nonlocal	ADJ
ejpam-4378	336	6	and	and	CCONJ
ejpam-4378	336	7	non	non	ADJ
ejpam-4378	336	8	-	-	ADJ
ejpam-4378	336	9	singular	singular	ADJ
ejpam-4378	336	10	kernel	kernel	NOUN
ejpam-4378	336	11	:	:	PUNCT
ejpam-4378	336	12	theory	theory	NOUN
ejpam-4378	336	13	and	and	CCONJ
ejpam-4378	336	14	application	application	NOUN
ejpam-4378	336	15	to	to	PART
ejpam-4378	336	16	heat	heat	NOUN
ejpam-4378	336	17	transfer	transfer	NOUN
ejpam-4378	336	18	model	model	NOUN
ejpam-4378	336	19	.	.	PUNCT
ejpam-4378	337	1	arxiv	arxiv	PROPN
ejpam-4378	337	2	preprint	preprint	VERB
ejpam-4378	337	3	arxiv:1602.03408	arxiv:1602.03408	PROPN
ejpam-4378	337	4	,	,	PUNCT
ejpam-4378	337	5	2016	2016	NUM
ejpam-4378	337	6	.	.	PUNCT
ejpam-4378	338	1	references	reference	NOUN
ejpam-4378	338	2	913	913	NUM
ejpam-4378	339	1	[	[	X
ejpam-4378	339	2	8	8	NUM
ejpam-4378	339	3	]	]	PUNCT
ejpam-4378	339	4	lf	lf	ADP
ejpam-4378	339	5	ávalos	ávalos	PROPN
ejpam-4378	339	6	-	-	PUNCT
ejpam-4378	339	7	ruiz	ruiz	NOUN
ejpam-4378	339	8	,	,	PUNCT
ejpam-4378	339	9	jf	jf	PROPN
ejpam-4378	339	10	gomez	gomez	PROPN
ejpam-4378	339	11	-	-	PUNCT
ejpam-4378	339	12	aguilar	aguilar	PROPN
ejpam-4378	339	13	,	,	PUNCT
ejpam-4378	339	14	a	a	DET
ejpam-4378	339	15	atangana	atangana	NOUN
ejpam-4378	339	16	,	,	PUNCT
ejpam-4378	339	17	and	and	CCONJ
ejpam-4378	339	18	kolade	kolade	ADJ
ejpam-4378	339	19	m	m	NOUN
ejpam-4378	339	20	owolabi	owolabi	NOUN
ejpam-4378	339	21	.	.	PUNCT
ejpam-4378	340	1	on	on	ADP
ejpam-4378	340	2	the	the	DET
ejpam-4378	340	3	dynamics	dynamic	NOUN
ejpam-4378	340	4	of	of	ADP
ejpam-4378	340	5	fractional	fractional	ADJ
ejpam-4378	340	6	maps	map	NOUN
ejpam-4378	340	7	with	with	ADP
ejpam-4378	340	8	power	power	NOUN
ejpam-4378	340	9	-	-	PUNCT
ejpam-4378	340	10	law	law	NOUN
ejpam-4378	340	11	,	,	PUNCT
ejpam-4378	340	12	exponential	exponential	ADJ
ejpam-4378	340	13	decay	decay	NOUN
ejpam-4378	340	14	and	and	CCONJ
ejpam-4378	340	15	mittag	mittag	ADJ
ejpam-4378	340	16	–	–	PUNCT
ejpam-4378	340	17	leffler	leffler	NOUN
ejpam-4378	340	18	memory	memory	NOUN
ejpam-4378	340	19	.	.	PUNCT
ejpam-4378	341	1	chaos	chaos	NOUN
ejpam-4378	341	2	,	,	PUNCT
ejpam-4378	341	3	solitons	soliton	NOUN
ejpam-4378	341	4	&	&	CCONJ
ejpam-4378	341	5	fractals	fractal	NOUN
ejpam-4378	341	6	,	,	PUNCT
ejpam-4378	341	7	127:364–388	127:364–388	NUM
ejpam-4378	341	8	,	,	PUNCT
ejpam-4378	341	9	2019	2019	NUM
ejpam-4378	341	10	.	.	PUNCT
ejpam-4378	342	1	[	[	X
ejpam-4378	342	2	9	9	NUM
ejpam-4378	342	3	]	]	SYM
ejpam-4378	342	4	e	e	X
ejpam-4378	342	5	bonyah	bonyah	PROPN
ejpam-4378	342	6	,	,	PUNCT
ejpam-4378	342	7	ma	ma	PROPN
ejpam-4378	342	8	khan	khan	PROPN
ejpam-4378	342	9	,	,	PUNCT
ejpam-4378	342	10	ko	ko	PROPN
ejpam-4378	342	11	okosun	okosun	PROPN
ejpam-4378	342	12	,	,	PUNCT
ejpam-4378	342	13	and	and	CCONJ
ejpam-4378	342	14	jf	jf	PROPN
ejpam-4378	342	15	gómez	gómez	NOUN
ejpam-4378	342	16	-	-	PUNCT
ejpam-4378	342	17	aguilar	aguilar	PROPN
ejpam-4378	342	18	.	.	PUNCT
ejpam-4378	343	1	modelling	model	VERB
ejpam-4378	343	2	the	the	DET
ejpam-4378	343	3	effects	effect	NOUN
ejpam-4378	343	4	of	of	ADP
ejpam-4378	343	5	heavy	heavy	ADJ
ejpam-4378	343	6	alcohol	alcohol	NOUN
ejpam-4378	343	7	consumption	consumption	NOUN
ejpam-4378	343	8	on	on	ADP
ejpam-4378	343	9	the	the	DET
ejpam-4378	343	10	transmission	transmission	NOUN
ejpam-4378	343	11	dynamics	dynamic	NOUN
ejpam-4378	343	12	of	of	ADP
ejpam-4378	343	13	gonorrhea	gonorrhea	NOUN
ejpam-4378	343	14	with	with	ADP
ejpam-4378	343	15	optimal	optimal	ADJ
ejpam-4378	343	16	control	control	NOUN
ejpam-4378	343	17	.	.	PUNCT
ejpam-4378	344	1	mathematical	mathematical	ADJ
ejpam-4378	344	2	biosciences	bioscience	NOUN
ejpam-4378	344	3	,	,	PUNCT
ejpam-4378	344	4	309:1–11	309:1–11	NUM
ejpam-4378	344	5	,	,	PUNCT
ejpam-4378	344	6	2019	2019	NUM
ejpam-4378	344	7	.	.	PUNCT
ejpam-4378	345	1	[	[	X
ejpam-4378	345	2	10	10	NUM
ejpam-4378	345	3	]	]	X
ejpam-4378	345	4	michele	michele	PROPN
ejpam-4378	345	5	caputo	caputo	PROPN
ejpam-4378	345	6	and	and	CCONJ
ejpam-4378	345	7	mauro	mauro	PROPN
ejpam-4378	345	8	fabrizio	fabrizio	PROPN
ejpam-4378	345	9	.	.	PUNCT
ejpam-4378	346	1	a	a	DET
ejpam-4378	346	2	new	new	ADJ
ejpam-4378	346	3	definition	definition	NOUN
ejpam-4378	346	4	of	of	ADP
ejpam-4378	346	5	fractional	fractional	ADJ
ejpam-4378	346	6	derivative	derivative	NOUN
ejpam-4378	346	7	without	without	ADP
ejpam-4378	346	8	singular	singular	ADJ
ejpam-4378	346	9	kernel	kernel	PROPN
ejpam-4378	346	10	.	.	PUNCT
ejpam-4378	347	1	progress	progress	NOUN
ejpam-4378	347	2	in	in	ADP
ejpam-4378	347	3	fractional	fractional	ADJ
ejpam-4378	347	4	differentiation	differentiation	NOUN
ejpam-4378	347	5	&	&	CCONJ
ejpam-4378	347	6	applications	application	NOUN
ejpam-4378	347	7	,	,	PUNCT
ejpam-4378	347	8	1(2):73–85	1(2):73–85	NUM
ejpam-4378	347	9	,	,	PUNCT
ejpam-4378	347	10	2015	2015	NUM
ejpam-4378	347	11	.	.	PUNCT
ejpam-4378	348	1	[	[	X
ejpam-4378	348	2	11	11	NUM
ejpam-4378	348	3	]	]	X
ejpam-4378	348	4	y	y	PROPN
ejpam-4378	348	5	chatibi	chatibi	NOUN
ejpam-4378	348	6	,	,	PUNCT
ejpam-4378	348	7	eh	eh	INTJ
ejpam-4378	348	8	el	el	PROPN
ejpam-4378	348	9	kinani	kinani	PROPN
ejpam-4378	348	10	,	,	PUNCT
ejpam-4378	348	11	and	and	CCONJ
ejpam-4378	348	12	a	a	DET
ejpam-4378	348	13	ouhadan	ouhadan	NOUN
ejpam-4378	348	14	.	.	PUNCT
ejpam-4378	349	1	variational	variational	ADJ
ejpam-4378	349	2	calculus	calculus	NOUN
ejpam-4378	349	3	involving	involve	VERB
ejpam-4378	349	4	nonlocal	nonlocal	ADJ
ejpam-4378	349	5	fractional	fractional	ADJ
ejpam-4378	349	6	derivative	derivative	NOUN
ejpam-4378	349	7	with	with	ADP
ejpam-4378	349	8	mittag	mittag	ADJ
ejpam-4378	349	9	–	–	PUNCT
ejpam-4378	349	10	leffler	leffler	ADJ
ejpam-4378	349	11	kernel	kernel	NOUN
ejpam-4378	349	12	.	.	PUNCT
ejpam-4378	350	1	chaos	chaos	NOUN
ejpam-4378	350	2	,	,	PUNCT
ejpam-4378	350	3	solitons	soliton	NOUN
ejpam-4378	350	4	&	&	CCONJ
ejpam-4378	350	5	fractals	fractal	NOUN
ejpam-4378	350	6	,	,	PUNCT
ejpam-4378	350	7	118:117	118:117	NUM
ejpam-4378	350	8	–	–	PUNCT
ejpam-4378	350	9	121	121	NUM
ejpam-4378	350	10	,	,	PUNCT
ejpam-4378	350	11	2019	2019	NUM
ejpam-4378	350	12	.	.	PUNCT
ejpam-4378	351	1	[	[	X
ejpam-4378	351	2	12	12	NUM
ejpam-4378	351	3	]	]	X
ejpam-4378	351	4	youness	youness	NOUN
ejpam-4378	351	5	chatibi	chatibi	NOUN
ejpam-4378	351	6	,	,	PUNCT
ejpam-4378	351	7	abdelaziz	abdelaziz	PROPN
ejpam-4378	351	8	ouhadan	ouhadan	PROPN
ejpam-4378	351	9	,	,	PUNCT
ejpam-4378	351	10	et	et	PROPN
ejpam-4378	351	11	al	al	PROPN
ejpam-4378	351	12	.	.	PROPN
ejpam-4378	351	13	lie	lie	PROPN
ejpam-4378	351	14	symmetry	symmetry	NOUN
ejpam-4378	351	15	analysis	analysis	NOUN
ejpam-4378	351	16	of	of	ADP
ejpam-4378	351	17	conformable	conformable	ADJ
ejpam-4378	351	18	differential	differential	ADJ
ejpam-4378	351	19	equations	equation	NOUN
ejpam-4378	351	20	.	.	PUNCT
ejpam-4378	352	1	aims	aim	VERB
ejpam-4378	352	2	mathematics	mathematic	NOUN
ejpam-4378	352	3	,	,	PUNCT
ejpam-4378	352	4	4(4):1133–1144	4(4):1133–1144	PROPN
ejpam-4378	352	5	,	,	PUNCT
ejpam-4378	352	6	2019	2019	NUM
ejpam-4378	352	7	.	.	PUNCT
ejpam-4378	353	1	[	[	X
ejpam-4378	353	2	13	13	NUM
ejpam-4378	353	3	]	]	X
ejpam-4378	353	4	fred	fred	PROPN
ejpam-4378	353	5	cohen	cohen	PROPN
ejpam-4378	353	6	.	.	PUNCT
ejpam-4378	354	1	computer	computer	NOUN
ejpam-4378	354	2	viruses	virus	NOUN
ejpam-4378	354	3	:	:	PUNCT
ejpam-4378	354	4	theory	theory	NOUN
ejpam-4378	354	5	and	and	CCONJ
ejpam-4378	354	6	experiments	experiment	NOUN
ejpam-4378	354	7	.	.	PUNCT
ejpam-4378	355	1	computers	computer	NOUN
ejpam-4378	355	2	and	and	CCONJ
ejpam-4378	355	3	security	security	NOUN
ejpam-4378	355	4	,	,	PUNCT
ejpam-4378	355	5	6(1):22–35	6(1):22–35	NUM
ejpam-4378	355	6	,	,	PUNCT
ejpam-4378	355	7	1987	1987	NUM
ejpam-4378	355	8	.	.	PUNCT
ejpam-4378	356	1	[	[	X
ejpam-4378	356	2	14	14	NUM
ejpam-4378	356	3	]	]	X
ejpam-4378	356	4	alberto	alberto	PROPN
ejpam-4378	356	5	d’onofrio	d’onofrio	PROPN
ejpam-4378	356	6	.	.	PUNCT
ejpam-4378	357	1	a	a	DET
ejpam-4378	357	2	note	note	NOUN
ejpam-4378	357	3	on	on	ADP
ejpam-4378	357	4	the	the	DET
ejpam-4378	357	5	global	global	ADJ
ejpam-4378	357	6	behaviour	behaviour	NOUN
ejpam-4378	357	7	of	of	ADP
ejpam-4378	357	8	the	the	DET
ejpam-4378	357	9	network	network	NOUN
ejpam-4378	357	10	-	-	PUNCT
ejpam-4378	357	11	based	base	VERB
ejpam-4378	357	12	sis	sis	NOUN
ejpam-4378	357	13	epidemic	epidemic	NOUN
ejpam-4378	357	14	model	model	NOUN
ejpam-4378	357	15	.	.	PUNCT
ejpam-4378	358	1	nonlinear	nonlinear	ADJ
ejpam-4378	358	2	analysis	analysis	NOUN
ejpam-4378	358	3	:	:	PUNCT
ejpam-4378	358	4	real	real	ADJ
ejpam-4378	358	5	world	world	NOUN
ejpam-4378	358	6	applications	application	NOUN
ejpam-4378	358	7	,	,	PUNCT
ejpam-4378	358	8	9(4):1567–1572	9(4):1567–1572	PROPN
ejpam-4378	358	9	,	,	PUNCT
ejpam-4378	358	10	2008	2008	NUM
ejpam-4378	358	11	.	.	PUNCT
ejpam-4378	359	1	[	[	X
ejpam-4378	359	2	15	15	X
ejpam-4378	359	3	]	]	X
ejpam-4378	359	4	muhammad	muhammad	PROPN
ejpam-4378	359	5	farman	farman	PROPN
ejpam-4378	359	6	,	,	PUNCT
ejpam-4378	359	7	ali	ali	PROPN
ejpam-4378	359	8	akgül	akgül	PROPN
ejpam-4378	359	9	,	,	PUNCT
ejpam-4378	359	10	dumitru	dumitru	PROPN
ejpam-4378	359	11	baleanu	baleanu	PROPN
ejpam-4378	359	12	,	,	PUNCT
ejpam-4378	359	13	sumaiyah	sumaiyah	PROPN
ejpam-4378	359	14	imtiaz	imtiaz	PROPN
ejpam-4378	359	15	,	,	PUNCT
ejpam-4378	359	16	and	and	CCONJ
ejpam-4378	359	17	aqeel	aqeel	PROPN
ejpam-4378	359	18	ahmad	ahmad	PROPN
ejpam-4378	359	19	.	.	PUNCT
ejpam-4378	360	1	analysis	analysis	NOUN
ejpam-4378	360	2	of	of	ADP
ejpam-4378	360	3	fractional	fractional	ADJ
ejpam-4378	360	4	order	order	NOUN
ejpam-4378	360	5	chaotic	chaotic	ADJ
ejpam-4378	360	6	financial	financial	ADJ
ejpam-4378	360	7	model	model	NOUN
ejpam-4378	360	8	with	with	ADP
ejpam-4378	360	9	minimum	minimum	ADJ
ejpam-4378	360	10	interest	interest	NOUN
ejpam-4378	360	11	rate	rate	NOUN
ejpam-4378	360	12	impact	impact	NOUN
ejpam-4378	360	13	.	.	PUNCT
ejpam-4378	361	1	fractal	fractal	ADJ
ejpam-4378	361	2	and	and	CCONJ
ejpam-4378	361	3	fractional	fractional	ADJ
ejpam-4378	361	4	,	,	PUNCT
ejpam-4378	361	5	4(3):43	4(3):43	NUM
ejpam-4378	361	6	,	,	PUNCT
ejpam-4378	361	7	2020	2020	NUM
ejpam-4378	361	8	.	.	PUNCT
ejpam-4378	362	1	[	[	X
ejpam-4378	362	2	16	16	NUM
ejpam-4378	362	3	]	]	X
ejpam-4378	362	4	muhammad	muhammad	PROPN
ejpam-4378	362	5	farman	farman	PROPN
ejpam-4378	362	6	,	,	PUNCT
ejpam-4378	362	7	muhammad	muhammad	PROPN
ejpam-4378	362	8	umer	umer	PROPN
ejpam-4378	362	9	saleem	saleem	PROPN
ejpam-4378	362	10	,	,	PUNCT
ejpam-4378	362	11	aqeel	aqeel	PROPN
ejpam-4378	362	12	ahmad	ahmad	PROPN
ejpam-4378	362	13	,	,	PUNCT
ejpam-4378	362	14	sumaiyah	sumaiyah	PROPN
ejpam-4378	362	15	imtiaz	imtiaz	PROPN
ejpam-4378	362	16	,	,	PUNCT
ejpam-4378	362	17	muhammad	muhammad	PROPN
ejpam-4378	362	18	farhan	farhan	PROPN
ejpam-4378	362	19	tabassum	tabassum	PROPN
ejpam-4378	362	20	,	,	PUNCT
ejpam-4378	362	21	sana	sana	PROPN
ejpam-4378	362	22	akram	akram	PROPN
ejpam-4378	362	23	,	,	PUNCT
ejpam-4378	362	24	and	and	CCONJ
ejpam-4378	362	25	mo	mo	PROPN
ejpam-4378	362	26	ahmad	ahmad	PROPN
ejpam-4378	362	27	.	.	PUNCT
ejpam-4378	363	1	a	a	DET
ejpam-4378	363	2	control	control	NOUN
ejpam-4378	363	3	of	of	ADP
ejpam-4378	363	4	glucose	glucose	NOUN
ejpam-4378	363	5	level	level	NOUN
ejpam-4378	363	6	in	in	ADP
ejpam-4378	363	7	insulin	insulin	NOUN
ejpam-4378	363	8	therapies	therapy	NOUN
ejpam-4378	363	9	for	for	ADP
ejpam-4378	363	10	the	the	DET
ejpam-4378	363	11	development	development	NOUN
ejpam-4378	363	12	of	of	ADP
ejpam-4378	363	13	artificial	artificial	ADJ
ejpam-4378	363	14	pancreas	pancrea	NOUN
ejpam-4378	363	15	by	by	ADP
ejpam-4378	363	16	atangana	atangana	PROPN
ejpam-4378	363	17	baleanu	baleanu	PROPN
ejpam-4378	363	18	derivative	derivative	PROPN
ejpam-4378	363	19	.	.	PUNCT
ejpam-4378	364	1	alexandria	alexandria	PROPN
ejpam-4378	364	2	engineering	engineering	PROPN
ejpam-4378	364	3	journal	journal	PROPN
ejpam-4378	364	4	,	,	PUNCT
ejpam-4378	364	5	59(4):2639–2648	59(4):2639–2648	NUM
ejpam-4378	364	6	,	,	PUNCT
ejpam-4378	364	7	2020	2020	NUM
ejpam-4378	364	8	.	.	PUNCT
ejpam-4378	365	1	[	[	X
ejpam-4378	365	2	17	17	NUM
ejpam-4378	365	3	]	]	X
ejpam-4378	365	4	muhammad	muhammad	PROPN
ejpam-4378	365	5	farman	farman	PROPN
ejpam-4378	365	6	,	,	PUNCT
ejpam-4378	365	7	muhammad	muhammad	PROPN
ejpam-4378	365	8	umer	umer	PROPN
ejpam-4378	365	9	saleem	saleem	PROPN
ejpam-4378	365	10	,	,	PUNCT
ejpam-4378	365	11	mf	mf	NOUN
ejpam-4378	365	12	tabassum	tabassum	NOUN
ejpam-4378	365	13	,	,	PUNCT
ejpam-4378	365	14	aqeel	aqeel	PROPN
ejpam-4378	365	15	ahmad	ahmad	PROPN
ejpam-4378	365	16	,	,	PUNCT
ejpam-4378	365	17	and	and	CCONJ
ejpam-4378	365	18	mo	mo	PROPN
ejpam-4378	365	19	ahmad	ahmad	PROPN
ejpam-4378	365	20	.	.	PUNCT
ejpam-4378	366	1	a	a	DET
ejpam-4378	366	2	linear	linear	ADJ
ejpam-4378	366	3	control	control	NOUN
ejpam-4378	366	4	of	of	ADP
ejpam-4378	366	5	composite	composite	ADJ
ejpam-4378	366	6	model	model	NOUN
ejpam-4378	366	7	for	for	ADP
ejpam-4378	366	8	glucose	glucose	NOUN
ejpam-4378	366	9	insulin	insulin	NOUN
ejpam-4378	366	10	glucagon	glucagon	NOUN
ejpam-4378	366	11	pump	pump	NOUN
ejpam-4378	366	12	.	.	PUNCT
ejpam-4378	367	1	ain	ain	PROPN
ejpam-4378	367	2	shams	sham	VERB
ejpam-4378	367	3	engineering	engineering	NOUN
ejpam-4378	367	4	journal	journal	NOUN
ejpam-4378	367	5	,	,	PUNCT
ejpam-4378	367	6	10(4):867–872	10(4):867–872	PROPN
ejpam-4378	367	7	,	,	PUNCT
ejpam-4378	367	8	2019	2019	NUM
ejpam-4378	367	9	.	.	PUNCT
ejpam-4378	368	1	[	[	X
ejpam-4378	368	2	18	18	NUM
ejpam-4378	368	3	]	]	X
ejpam-4378	368	4	chenquan	chenquan	PROPN
ejpam-4378	368	5	gan	gan	PROPN
ejpam-4378	368	6	,	,	PUNCT
ejpam-4378	368	7	xiaofan	xiaofan	PROPN
ejpam-4378	368	8	yang	yang	PROPN
ejpam-4378	368	9	,	,	PUNCT
ejpam-4378	368	10	wanping	wanping	PROPN
ejpam-4378	368	11	liu	liu	PROPN
ejpam-4378	368	12	,	,	PUNCT
ejpam-4378	368	13	and	and	CCONJ
ejpam-4378	368	14	qingyi	qingyi	PROPN
ejpam-4378	368	15	zhu	zhu	PROPN
ejpam-4378	368	16	.	.	PUNCT
ejpam-4378	369	1	a	a	DET
ejpam-4378	369	2	propagation	propagation	NOUN
ejpam-4378	369	3	model	model	NOUN
ejpam-4378	369	4	of	of	ADP
ejpam-4378	369	5	computer	computer	NOUN
ejpam-4378	369	6	virus	virus	NOUN
ejpam-4378	369	7	with	with	ADP
ejpam-4378	369	8	nonlinear	nonlinear	ADJ
ejpam-4378	369	9	vaccination	vaccination	NOUN
ejpam-4378	369	10	probability	probability	NOUN
ejpam-4378	369	11	.	.	PUNCT
ejpam-4378	370	1	communications	communication	NOUN
ejpam-4378	370	2	in	in	ADP
ejpam-4378	370	3	nonlinear	nonlinear	ADJ
ejpam-4378	370	4	science	science	NOUN
ejpam-4378	370	5	and	and	CCONJ
ejpam-4378	370	6	numerical	numerical	PROPN
ejpam-4378	370	7	simulation	simulation	PROPN
ejpam-4378	370	8	,	,	PUNCT
ejpam-4378	370	9	19(1):92–100	19(1):92–100	NUM
ejpam-4378	370	10	,	,	PUNCT
ejpam-4378	370	11	2014	2014	NUM
ejpam-4378	370	12	.	.	PUNCT
ejpam-4378	371	1	[	[	X
ejpam-4378	371	2	19	19	NUM
ejpam-4378	371	3	]	]	X
ejpam-4378	371	4	mohammad	mohammad	PROPN
ejpam-4378	371	5	izadi	izadi	PROPN
ejpam-4378	371	6	,	,	PUNCT
ejpam-4378	371	7	maryam	maryam	PROPN
ejpam-4378	371	8	seifaddini	seifaddini	PROPN
ejpam-4378	371	9	,	,	PUNCT
ejpam-4378	371	10	and	and	CCONJ
ejpam-4378	371	11	mehdi	mehdi	PROPN
ejpam-4378	371	12	afshar	afshar	ADJ
ejpam-4378	371	13	.	.	PUNCT
ejpam-4378	372	1	approximate	approximate	ADJ
ejpam-4378	372	2	solutions	solution	NOUN
ejpam-4378	372	3	of	of	ADP
ejpam-4378	372	4	a	a	DET
ejpam-4378	372	5	sir	sir	NOUN
ejpam-4378	372	6	epidemiological	epidemiological	ADJ
ejpam-4378	372	7	model	model	NOUN
ejpam-4378	372	8	of	of	ADP
ejpam-4378	372	9	computer	computer	NOUN
ejpam-4378	372	10	viruses	virus	NOUN
ejpam-4378	372	11	.	.	PUNCT
ejpam-4378	373	1	advanced	advanced	ADJ
ejpam-4378	373	2	studies	study	NOUN
ejpam-4378	373	3	:	:	PUNCT
ejpam-4378	373	4	euro	euro	NOUN
ejpam-4378	373	5	-	-	PUNCT
ejpam-4378	373	6	tbilisi	tbilisi	ADJ
ejpam-4378	373	7	mathematical	mathematical	ADJ
ejpam-4378	373	8	journal	journal	NOUN
ejpam-4378	373	9	,	,	PUNCT
ejpam-4378	373	10	14(4):203–219	14(4):203–219	NUM
ejpam-4378	373	11	,	,	PUNCT
ejpam-4378	373	12	2021	2021	NUM
ejpam-4378	373	13	.	.	PUNCT
ejpam-4378	374	1	[	[	X
ejpam-4378	374	2	20	20	NUM
ejpam-4378	374	3	]	]	X
ejpam-4378	374	4	jo	jo	PROPN
ejpam-4378	374	5	kephart	kephart	PROPN
ejpam-4378	374	6	.	.	PUNCT
ejpam-4378	375	1	direct	direct	ADJ
ejpam-4378	375	2	-	-	PUNCT
ejpam-4378	375	3	graph	graph	NOUN
ejpam-4378	375	4	epidemiological	epidemiological	ADJ
ejpam-4378	375	5	models	model	NOUN
ejpam-4378	375	6	of	of	ADP
ejpam-4378	375	7	computer	computer	NOUN
ejpam-4378	375	8	virus	virus	NOUN
ejpam-4378	375	9	.	.	PUNCT
ejpam-4378	376	1	in	in	ADP
ejpam-4378	376	2	proceedings	proceeding	NOUN
ejpam-4378	376	3	of	of	ADP
ejpam-4378	376	4	ieee	ieee	NOUN
ejpam-4378	376	5	symposium	symposium	NOUN
ejpam-4378	376	6	on	on	ADP
ejpam-4378	376	7	security	security	NOUN
ejpam-4378	376	8	and	and	CCONJ
ejpam-4378	376	9	privacy	privacy	NOUN
ejpam-4378	376	10	,	,	PUNCT
ejpam-4378	376	11	may	may	AUX
ejpam-4378	376	12	20	20	NUM
ejpam-4378	376	13	-	-	SYM
ejpam-4378	376	14	22	22	NUM
ejpam-4378	376	15	,	,	PUNCT
ejpam-4378	376	16	1991	1991	NUM
ejpam-4378	376	17	.	.	PUNCT
ejpam-4378	377	1	ieee	ieee	NOUN
ejpam-4378	377	2	,	,	PUNCT
ejpam-4378	377	3	1991	1991	NUM
ejpam-4378	377	4	.	.	PUNCT
ejpam-4378	378	1	references	reference	NOUN
ejpam-4378	378	2	914	914	NUM
ejpam-4378	378	3	[	[	X
ejpam-4378	378	4	21	21	NUM
ejpam-4378	378	5	]	]	PUNCT
ejpam-4378	378	6	meraj	meraj	VERB
ejpam-4378	378	7	a	a	DET
ejpam-4378	378	8	khan	khan	PROPN
ejpam-4378	378	9	,	,	PUNCT
ejpam-4378	378	10	armin	armin	PROPN
ejpam-4378	378	11	farahvash	farahvash	PROPN
ejpam-4378	378	12	,	,	PUNCT
ejpam-4378	378	13	david	david	PROPN
ejpam-4378	378	14	n	n	PRON
ejpam-4378	378	15	douda	douda	PROPN
ejpam-4378	378	16	,	,	PUNCT
ejpam-4378	378	17	johann	johann	PROPN
ejpam-4378	378	18	-	-	PUNCT
ejpam-4378	378	19	christoph	christoph	PROPN
ejpam-4378	378	20	licht	licht	PROPN
ejpam-4378	378	21	,	,	PUNCT
ejpam-4378	378	22	hartmut	hartmut	PROPN
ejpam-4378	378	23	grasemann	grasemann	PROPN
ejpam-4378	378	24	,	,	PUNCT
ejpam-4378	378	25	neil	neil	PROPN
ejpam-4378	378	26	sweezey	sweezey	PROPN
ejpam-4378	378	27	,	,	PUNCT
ejpam-4378	378	28	and	and	CCONJ
ejpam-4378	378	29	nades	nade	NOUN
ejpam-4378	378	30	palaniyar	palaniyar	VERB
ejpam-4378	378	31	.	.	PUNCT
ejpam-4378	379	1	jnk	jnk	PROPN
ejpam-4378	379	2	activation	activation	NOUN
ejpam-4378	379	3	turns	turn	VERB
ejpam-4378	379	4	on	on	ADP
ejpam-4378	379	5	lps	lps	PROPN
ejpam-4378	379	6	-	-	PUNCT
ejpam-4378	379	7	and	and	CCONJ
ejpam-4378	379	8	gram	gram	NOUN
ejpam-4378	379	9	-	-	PUNCT
ejpam-4378	379	10	negative	negative	ADJ
ejpam-4378	379	11	bacteria	bacteria	NOUN
ejpam-4378	379	12	-	-	PUNCT
ejpam-4378	379	13	induced	induce	VERB
ejpam-4378	379	14	nadph	nadph	ADJ
ejpam-4378	379	15	oxidase	oxidase	NOUN
ejpam-4378	379	16	-	-	PUNCT
ejpam-4378	379	17	dependent	dependent	ADJ
ejpam-4378	379	18	suicidal	suicidal	ADJ
ejpam-4378	379	19	netosis	netosis	NOUN
ejpam-4378	379	20	.	.	PUNCT
ejpam-4378	380	1	scientific	scientific	ADJ
ejpam-4378	380	2	reports	report	NOUN
ejpam-4378	380	3	,	,	PUNCT
ejpam-4378	380	4	7(1):1–16	7(1):1–16	NUM
ejpam-4378	380	5	,	,	PUNCT
ejpam-4378	380	6	2017	2017	NUM
ejpam-4378	380	7	.	.	PUNCT
ejpam-4378	381	1	[	[	X
ejpam-4378	381	2	22	22	NUM
ejpam-4378	381	3	]	]	PUNCT
ejpam-4378	381	4	muhammad	muhammad	PROPN
ejpam-4378	381	5	altaf	altaf	PROPN
ejpam-4378	381	6	khan	khan	PROPN
ejpam-4378	381	7	,	,	PUNCT
ejpam-4378	381	8	saif	saif	PROPN
ejpam-4378	381	9	ullah	ullah	PROPN
ejpam-4378	381	10	,	,	PUNCT
ejpam-4378	381	11	and	and	CCONJ
ejpam-4378	381	12	muhammad	muhammad	PROPN
ejpam-4378	381	13	farhan	farhan	PROPN
ejpam-4378	381	14	.	.	PUNCT
ejpam-4378	382	1	the	the	DET
ejpam-4378	382	2	dynamics	dynamic	NOUN
ejpam-4378	382	3	of	of	ADP
ejpam-4378	382	4	zika	zika	X
ejpam-4378	382	5	virus	virus	NOUN
ejpam-4378	382	6	with	with	ADP
ejpam-4378	382	7	caputo	caputo	PROPN
ejpam-4378	382	8	fractional	fractional	PROPN
ejpam-4378	382	9	derivative	derivative	PROPN
ejpam-4378	382	10	.	.	PUNCT
ejpam-4378	383	1	aims	aim	VERB
ejpam-4378	383	2	math	math	NOUN
ejpam-4378	383	3	,	,	PUNCT
ejpam-4378	383	4	4(1):134–146	4(1):134–146	PROPN
ejpam-4378	383	5	,	,	PUNCT
ejpam-4378	383	6	2019	2019	NUM
ejpam-4378	383	7	.	.	PUNCT
ejpam-4378	384	1	[	[	X
ejpam-4378	384	2	23	23	NUM
ejpam-4378	384	3	]	]	X
ejpam-4378	384	4	muhammad	muhammad	PROPN
ejpam-4378	384	5	altaf	altaf	PROPN
ejpam-4378	384	6	khan	khan	PROPN
ejpam-4378	384	7	,	,	PUNCT
ejpam-4378	384	8	saif	saif	PROPN
ejpam-4378	384	9	ullah	ullah	PROPN
ejpam-4378	384	10	,	,	PUNCT
ejpam-4378	384	11	and	and	CCONJ
ejpam-4378	384	12	sunil	sunil	PROPN
ejpam-4378	384	13	kumar	kumar	PROPN
ejpam-4378	384	14	.	.	PUNCT
ejpam-4378	385	1	a	a	DET
ejpam-4378	385	2	robust	robust	ADJ
ejpam-4378	385	3	study	study	NOUN
ejpam-4378	385	4	on	on	ADP
ejpam-4378	385	5	2019ncov	2019ncov	NUM
ejpam-4378	385	6	outbreaks	outbreak	NOUN
ejpam-4378	385	7	through	through	ADP
ejpam-4378	385	8	non	non	ADJ
ejpam-4378	385	9	-	-	ADJ
ejpam-4378	385	10	singular	singular	ADJ
ejpam-4378	385	11	derivative	derivative	NOUN
ejpam-4378	385	12	.	.	PUNCT
ejpam-4378	386	1	the	the	DET
ejpam-4378	386	2	european	european	PROPN
ejpam-4378	386	3	physical	physical	PROPN
ejpam-4378	386	4	journal	journal	PROPN
ejpam-4378	386	5	plus	plus	CCONJ
ejpam-4378	386	6	,	,	PUNCT
ejpam-4378	386	7	136(2):1–20	136(2):1–20	NUM
ejpam-4378	386	8	,	,	PUNCT
ejpam-4378	386	9	2021	2021	NUM
ejpam-4378	386	10	.	.	PUNCT
ejpam-4378	387	1	[	[	X
ejpam-4378	387	2	24	24	NUM
ejpam-4378	387	3	]	]	PUNCT
ejpam-4378	387	4	bimal	bimal	ADJ
ejpam-4378	387	5	kumar	kumar	PROPN
ejpam-4378	387	6	mishra	mishra	PROPN
ejpam-4378	387	7	and	and	CCONJ
ejpam-4378	387	8	navnit	navnit	PROPN
ejpam-4378	387	9	jha	jha	PROPN
ejpam-4378	387	10	.	.	PROPN
ejpam-4378	387	11	fixed	fix	VERB
ejpam-4378	387	12	period	period	NOUN
ejpam-4378	387	13	of	of	ADP
ejpam-4378	387	14	temporary	temporary	ADJ
ejpam-4378	387	15	immunity	immunity	NOUN
ejpam-4378	387	16	after	after	ADP
ejpam-4378	387	17	run	run	NOUN
ejpam-4378	387	18	of	of	ADP
ejpam-4378	387	19	anti	anti	ADJ
ejpam-4378	387	20	-	-	ADJ
ejpam-4378	387	21	malicious	malicious	ADJ
ejpam-4378	387	22	software	software	NOUN
ejpam-4378	387	23	on	on	ADP
ejpam-4378	387	24	computer	computer	NOUN
ejpam-4378	387	25	nodes	node	NOUN
ejpam-4378	387	26	.	.	PUNCT
ejpam-4378	388	1	applied	apply	VERB
ejpam-4378	388	2	mathematics	mathematic	NOUN
ejpam-4378	388	3	and	and	CCONJ
ejpam-4378	388	4	computation	computation	NOUN
ejpam-4378	388	5	,	,	PUNCT
ejpam-4378	388	6	190(2):1207–1212	190(2):1207–1212	NUM
ejpam-4378	388	7	,	,	PUNCT
ejpam-4378	388	8	2007	2007	NUM
ejpam-4378	388	9	.	.	PUNCT
ejpam-4378	389	1	[	[	X
ejpam-4378	389	2	25	25	NUM
ejpam-4378	389	3	]	]	X
ejpam-4378	389	4	bimal	bimal	ADJ
ejpam-4378	389	5	kumar	kumar	PROPN
ejpam-4378	389	6	mishra	mishra	PROPN
ejpam-4378	389	7	and	and	CCONJ
ejpam-4378	389	8	navnit	navnit	PROPN
ejpam-4378	389	9	jha	jha	PROPN
ejpam-4378	389	10	.	.	PROPN
ejpam-4378	389	11	seiqrs	seiqrs	PROPN
ejpam-4378	389	12	model	model	NOUN
ejpam-4378	389	13	for	for	ADP
ejpam-4378	389	14	the	the	DET
ejpam-4378	389	15	transmission	transmission	NOUN
ejpam-4378	389	16	of	of	ADP
ejpam-4378	389	17	malicious	malicious	ADJ
ejpam-4378	389	18	objects	object	NOUN
ejpam-4378	389	19	in	in	ADP
ejpam-4378	389	20	computer	computer	NOUN
ejpam-4378	389	21	network	network	NOUN
ejpam-4378	389	22	.	.	PUNCT
ejpam-4378	390	1	applied	apply	VERB
ejpam-4378	390	2	mathematical	mathematical	ADJ
ejpam-4378	390	3	modelling	modelling	NOUN
ejpam-4378	390	4	,	,	PUNCT
ejpam-4378	390	5	34(3):710–715	34(3):710–715	NOUN
ejpam-4378	390	6	,	,	PUNCT
ejpam-4378	390	7	2010	2010	NUM
ejpam-4378	390	8	.	.	PUNCT
ejpam-4378	391	1	[	[	X
ejpam-4378	391	2	26	26	NUM
ejpam-4378	391	3	]	]	X
ejpam-4378	391	4	william	william	PROPN
ejpam-4378	391	5	hugh	hugh	PROPN
ejpam-4378	391	6	murray	murray	PROPN
ejpam-4378	391	7	.	.	PUNCT
ejpam-4378	392	1	the	the	DET
ejpam-4378	392	2	application	application	NOUN
ejpam-4378	392	3	of	of	ADP
ejpam-4378	392	4	epidemiology	epidemiology	NOUN
ejpam-4378	392	5	to	to	ADP
ejpam-4378	392	6	computer	computer	NOUN
ejpam-4378	392	7	viruses	virus	NOUN
ejpam-4378	392	8	.	.	PUNCT
ejpam-4378	393	1	computers	computer	NOUN
ejpam-4378	393	2	and	and	CCONJ
ejpam-4378	393	3	security	security	NOUN
ejpam-4378	393	4	,	,	PUNCT
ejpam-4378	393	5	7(2):139–145	7(2):139–145	NOUN
ejpam-4378	393	6	,	,	PUNCT
ejpam-4378	393	7	1988	1988	NUM
ejpam-4378	393	8	.	.	PUNCT
ejpam-4378	394	1	[	[	X
ejpam-4378	394	2	27	27	NUM
ejpam-4378	394	3	]	]	X
ejpam-4378	394	4	kolade	kolade	ADJ
ejpam-4378	394	5	m	m	NOUN
ejpam-4378	394	6	owolabi	owolabi	NOUN
ejpam-4378	394	7	and	and	CCONJ
ejpam-4378	394	8	abdon	abdon	PROPN
ejpam-4378	394	9	atangana	atangana	PROPN
ejpam-4378	394	10	.	.	PUNCT
ejpam-4378	395	1	computational	computational	ADJ
ejpam-4378	395	2	study	study	NOUN
ejpam-4378	395	3	of	of	ADP
ejpam-4378	395	4	multi	multi	ADJ
ejpam-4378	395	5	-	-	ADJ
ejpam-4378	395	6	species	species	ADJ
ejpam-4378	395	7	fractional	fractional	ADJ
ejpam-4378	395	8	reaction	reaction	NOUN
ejpam-4378	395	9	-	-	PUNCT
ejpam-4378	395	10	diffusion	diffusion	NOUN
ejpam-4378	395	11	system	system	NOUN
ejpam-4378	395	12	with	with	ADP
ejpam-4378	395	13	abc	abc	PROPN
ejpam-4378	395	14	operator	operator	NOUN
ejpam-4378	395	15	.	.	PUNCT
ejpam-4378	396	1	chaos	chaos	NOUN
ejpam-4378	396	2	,	,	PUNCT
ejpam-4378	396	3	solitons	soliton	NOUN
ejpam-4378	396	4	&	&	CCONJ
ejpam-4378	396	5	fractals	fractal	NOUN
ejpam-4378	396	6	,	,	PUNCT
ejpam-4378	396	7	128:280–289	128:280–289	NUM
ejpam-4378	396	8	,	,	PUNCT
ejpam-4378	396	9	2019	2019	NUM
ejpam-4378	396	10	.	.	PUNCT
ejpam-4378	397	1	[	[	X
ejpam-4378	397	2	28	28	NUM
ejpam-4378	397	3	]	]	X
ejpam-4378	397	4	kolade	kolade	ADJ
ejpam-4378	397	5	m	m	NOUN
ejpam-4378	397	6	owolabi	owolabi	NOUN
ejpam-4378	397	7	and	and	CCONJ
ejpam-4378	397	8	abdon	abdon	PROPN
ejpam-4378	397	9	atangana	atangana	PROPN
ejpam-4378	397	10	.	.	PUNCT
ejpam-4378	398	1	mathematical	mathematical	ADJ
ejpam-4378	398	2	analysis	analysis	NOUN
ejpam-4378	398	3	and	and	CCONJ
ejpam-4378	398	4	computational	computational	ADJ
ejpam-4378	398	5	experiments	experiment	NOUN
ejpam-4378	398	6	for	for	ADP
ejpam-4378	398	7	an	an	DET
ejpam-4378	398	8	epidemic	epidemic	NOUN
ejpam-4378	398	9	system	system	NOUN
ejpam-4378	398	10	with	with	ADP
ejpam-4378	398	11	nonlocal	nonlocal	ADJ
ejpam-4378	398	12	and	and	CCONJ
ejpam-4378	398	13	nonsingular	nonsingular	ADJ
ejpam-4378	398	14	derivative	derivative	NOUN
ejpam-4378	398	15	.	.	PUNCT
ejpam-4378	399	1	chaos	chaos	NOUN
ejpam-4378	399	2	,	,	PUNCT
ejpam-4378	399	3	solitons	soliton	NOUN
ejpam-4378	399	4	&	&	CCONJ
ejpam-4378	399	5	fractals	fractal	NOUN
ejpam-4378	399	6	,	,	PUNCT
ejpam-4378	399	7	126:41–49	126:41–49	NUM
ejpam-4378	399	8	,	,	PUNCT
ejpam-4378	399	9	2019	2019	NUM
ejpam-4378	399	10	.	.	PUNCT
ejpam-4378	400	1	[	[	X
ejpam-4378	400	2	29	29	NUM
ejpam-4378	400	3	]	]	X
ejpam-4378	400	4	kolade	kolade	ADJ
ejpam-4378	400	5	m	m	NOUN
ejpam-4378	400	6	owolabi	owolabi	NOUN
ejpam-4378	400	7	,	,	PUNCT
ejpam-4378	400	8	abdon	abdon	PROPN
ejpam-4378	400	9	atangana	atangana	PROPN
ejpam-4378	400	10	,	,	PUNCT
ejpam-4378	400	11	and	and	CCONJ
ejpam-4378	400	12	ali	ali	PROPN
ejpam-4378	400	13	akgul	akgul	PROPN
ejpam-4378	400	14	.	.	PUNCT
ejpam-4378	401	1	modelling	modelling	NOUN
ejpam-4378	401	2	and	and	CCONJ
ejpam-4378	401	3	analysis	analysis	NOUN
ejpam-4378	401	4	of	of	ADP
ejpam-4378	401	5	fractal	fractal	ADJ
ejpam-4378	401	6	-	-	PUNCT
ejpam-4378	401	7	fractional	fractional	ADJ
ejpam-4378	401	8	partial	partial	ADJ
ejpam-4378	401	9	differential	differential	NOUN
ejpam-4378	401	10	equations	equation	NOUN
ejpam-4378	401	11	:	:	PUNCT
ejpam-4378	401	12	application	application	NOUN
ejpam-4378	401	13	to	to	ADP
ejpam-4378	401	14	reaction	reaction	NOUN
ejpam-4378	401	15	-	-	PUNCT
ejpam-4378	401	16	diffusion	diffusion	NOUN
ejpam-4378	401	17	model	model	NOUN
ejpam-4378	401	18	.	.	PUNCT
ejpam-4378	402	1	alexandria	alexandria	PROPN
ejpam-4378	402	2	engineering	engineering	PROPN
ejpam-4378	402	3	journal	journal	PROPN
ejpam-4378	402	4	,	,	PUNCT
ejpam-4378	402	5	59(4):2477–2490	59(4):2477–2490	NUM
ejpam-4378	402	6	,	,	PUNCT
ejpam-4378	402	7	2020	2020	NUM
ejpam-4378	402	8	.	.	PUNCT
ejpam-4378	403	1	[	[	X
ejpam-4378	403	2	30	30	NUM
ejpam-4378	403	3	]	]	X
ejpam-4378	403	4	kolade	kolade	ADJ
ejpam-4378	403	5	m	m	PROPN
ejpam-4378	403	6	owolabi	owolabi	NOUN
ejpam-4378	403	7	,	,	PUNCT
ejpam-4378	403	8	jf	jf	PROPN
ejpam-4378	403	9	gómez	gómez	NOUN
ejpam-4378	403	10	-	-	PUNCT
ejpam-4378	403	11	aguilar	aguilar	ADJ
ejpam-4378	403	12	,	,	PUNCT
ejpam-4378	403	13	and	and	CCONJ
ejpam-4378	403	14	berat	berat	PROPN
ejpam-4378	403	15	karaagac	karaagac	PROPN
ejpam-4378	403	16	.	.	PUNCT
ejpam-4378	404	1	modelling	modelling	NOUN
ejpam-4378	404	2	,	,	PUNCT
ejpam-4378	404	3	analysis	analysis	NOUN
ejpam-4378	404	4	and	and	CCONJ
ejpam-4378	404	5	simulations	simulation	NOUN
ejpam-4378	404	6	of	of	ADP
ejpam-4378	404	7	some	some	DET
ejpam-4378	404	8	chaotic	chaotic	ADJ
ejpam-4378	404	9	systems	system	NOUN
ejpam-4378	404	10	using	use	VERB
ejpam-4378	404	11	derivative	derivative	NOUN
ejpam-4378	404	12	with	with	ADP
ejpam-4378	404	13	mittag	mittag	ADJ
ejpam-4378	404	14	–	–	PUNCT
ejpam-4378	404	15	leffler	leffler	ADJ
ejpam-4378	404	16	kernel	kernel	NOUN
ejpam-4378	404	17	.	.	PUNCT
ejpam-4378	405	1	chaos	chaos	NOUN
ejpam-4378	405	2	,	,	PUNCT
ejpam-4378	405	3	solitons	soliton	NOUN
ejpam-4378	405	4	&	&	CCONJ
ejpam-4378	405	5	fractals	fractal	NOUN
ejpam-4378	405	6	,	,	PUNCT
ejpam-4378	405	7	125:54–63	125:54–63	NUM
ejpam-4378	405	8	,	,	PUNCT
ejpam-4378	405	9	2019	2019	NUM
ejpam-4378	405	10	.	.	PUNCT
ejpam-4378	406	1	[	[	X
ejpam-4378	406	2	31	31	NUM
ejpam-4378	406	3	]	]	PUNCT
ejpam-4378	406	4	josé	josé	PROPN
ejpam-4378	406	5	roberto	roberto	PROPN
ejpam-4378	406	6	c	c	PROPN
ejpam-4378	406	7	piqueira	piqueira	PROPN
ejpam-4378	406	8	and	and	CCONJ
ejpam-4378	406	9	vanessa	vanessa	PROPN
ejpam-4378	406	10	o	o	PROPN
ejpam-4378	406	11	araujo	araujo	PROPN
ejpam-4378	406	12	.	.	PUNCT
ejpam-4378	407	1	a	a	DET
ejpam-4378	407	2	modified	modify	VERB
ejpam-4378	407	3	epidemiological	epidemiological	ADJ
ejpam-4378	407	4	model	model	NOUN
ejpam-4378	407	5	for	for	ADP
ejpam-4378	407	6	computer	computer	NOUN
ejpam-4378	407	7	viruses	virus	NOUN
ejpam-4378	407	8	.	.	PUNCT
ejpam-4378	408	1	applied	apply	VERB
ejpam-4378	408	2	mathematics	mathematic	NOUN
ejpam-4378	408	3	and	and	CCONJ
ejpam-4378	408	4	computation	computation	NOUN
ejpam-4378	408	5	,	,	PUNCT
ejpam-4378	408	6	213(2):355–360	213(2):355–360	NUM
ejpam-4378	408	7	,	,	PUNCT
ejpam-4378	408	8	2009	2009	NUM
ejpam-4378	408	9	.	.	PUNCT
ejpam-4378	409	1	[	[	X
ejpam-4378	409	2	32	32	NUM
ejpam-4378	409	3	]	]	SYM
ejpam-4378	409	4	su	su	PROPN
ejpam-4378	409	5	rehman	rehman	PROPN
ejpam-4378	409	6	,	,	PUNCT
ejpam-4378	409	7	aly	aly	PROPN
ejpam-4378	409	8	r	r	NOUN
ejpam-4378	409	9	seadawy	seadawy	PROPN
ejpam-4378	409	10	,	,	PUNCT
ejpam-4378	409	11	m	m	PROPN
ejpam-4378	409	12	younis	younis	NOUN
ejpam-4378	409	13	,	,	PUNCT
ejpam-4378	409	14	and	and	CCONJ
ejpam-4378	409	15	str	str	AUX
ejpam-4378	409	16	rizvi	rizvi	ADJ
ejpam-4378	409	17	.	.	PUNCT
ejpam-4378	410	1	on	on	ADP
ejpam-4378	410	2	study	study	NOUN
ejpam-4378	410	3	of	of	ADP
ejpam-4378	410	4	modulation	modulation	NOUN
ejpam-4378	410	5	instability	instability	NOUN
ejpam-4378	410	6	and	and	CCONJ
ejpam-4378	410	7	optical	optical	ADJ
ejpam-4378	410	8	soliton	soliton	NOUN
ejpam-4378	410	9	solutions	solution	NOUN
ejpam-4378	410	10	:	:	PUNCT
ejpam-4378	410	11	the	the	DET
ejpam-4378	410	12	chiral	chiral	ADJ
ejpam-4378	410	13	nonlinear	nonlinear	ADJ
ejpam-4378	410	14	schrödinger	schrödinger	NOUN
ejpam-4378	410	15	dynamical	dynamical	ADJ
ejpam-4378	410	16	equation	equation	NOUN
ejpam-4378	410	17	.	.	PUNCT
ejpam-4378	411	1	optical	optical	ADJ
ejpam-4378	411	2	and	and	CCONJ
ejpam-4378	411	3	quantum	quantum	NOUN
ejpam-4378	411	4	electronics	electronic	NOUN
ejpam-4378	411	5	,	,	PUNCT
ejpam-4378	411	6	53(8):1–17	53(8):1–17	NUM
ejpam-4378	411	7	,	,	PUNCT
ejpam-4378	411	8	2021	2021	NUM
ejpam-4378	411	9	.	.	PUNCT
ejpam-4378	412	1	[	[	X
ejpam-4378	412	2	33	33	NUM
ejpam-4378	412	3	]	]	PUNCT
ejpam-4378	412	4	jianguo	jianguo	PROPN
ejpam-4378	412	5	ren	ren	PROPN
ejpam-4378	412	6	,	,	PUNCT
ejpam-4378	412	7	xiaofan	xiaofan	PROPN
ejpam-4378	412	8	yang	yang	PROPN
ejpam-4378	412	9	,	,	PUNCT
ejpam-4378	412	10	qingyi	qingyi	PROPN
ejpam-4378	412	11	zhu	zhu	PROPN
ejpam-4378	412	12	,	,	PUNCT
ejpam-4378	412	13	lu	lu	PROPN
ejpam-4378	412	14	-	-	PUNCT
ejpam-4378	412	15	xing	xing	PROPN
ejpam-4378	412	16	yang	yang	PROPN
ejpam-4378	412	17	,	,	PUNCT
ejpam-4378	412	18	and	and	CCONJ
ejpam-4378	412	19	chunming	chunme	VERB
ejpam-4378	412	20	zhang	zhang	PROPN
ejpam-4378	412	21	.	.	PUNCT
ejpam-4378	413	1	a	a	DET
ejpam-4378	413	2	novel	novel	ADJ
ejpam-4378	413	3	computer	computer	NOUN
ejpam-4378	413	4	virus	virus	NOUN
ejpam-4378	413	5	model	model	NOUN
ejpam-4378	413	6	and	and	CCONJ
ejpam-4378	413	7	its	its	PRON
ejpam-4378	413	8	dynamics	dynamic	NOUN
ejpam-4378	413	9	.	.	PUNCT
ejpam-4378	414	1	nonlinear	nonlinear	ADJ
ejpam-4378	414	2	analysis	analysis	NOUN
ejpam-4378	414	3	:	:	PUNCT
ejpam-4378	414	4	real	real	ADJ
ejpam-4378	414	5	world	world	NOUN
ejpam-4378	414	6	applications	application	NOUN
ejpam-4378	414	7	,	,	PUNCT
ejpam-4378	414	8	13(1):376–384	13(1):376–384	NUM
ejpam-4378	414	9	,	,	PUNCT
ejpam-4378	414	10	2012	2012	NUM
ejpam-4378	414	11	.	.	PUNCT
ejpam-4378	415	1	references	reference	NOUN
ejpam-4378	415	2	915	915	NUM
ejpam-4378	415	3	[	[	X
ejpam-4378	415	4	34	34	NUM
ejpam-4378	415	5	]	]	PUNCT
ejpam-4378	415	6	muhammad	muhammad	PROPN
ejpam-4378	415	7	umer	umer	PROPN
ejpam-4378	415	8	saleem	saleem	PROPN
ejpam-4378	415	9	,	,	PUNCT
ejpam-4378	415	10	muhammad	muhammad	PROPN
ejpam-4378	415	11	farman	farman	PROPN
ejpam-4378	415	12	,	,	PUNCT
ejpam-4378	415	13	aqeel	aqeel	PROPN
ejpam-4378	415	14	ahmad	ahmad	PROPN
ejpam-4378	415	15	,	,	PUNCT
ejpam-4378	415	16	ehsan	ehsan	PROPN
ejpam-4378	415	17	ul	ul	PROPN
ejpam-4378	415	18	haque	haque	PROPN
ejpam-4378	415	19	,	,	PUNCT
ejpam-4378	415	20	and	and	CCONJ
ejpam-4378	415	21	mo	mo	PROPN
ejpam-4378	415	22	ahmad	ahmad	PROPN
ejpam-4378	415	23	.	.	PUNCT
ejpam-4378	416	1	a	a	DET
ejpam-4378	416	2	caputo	caputo	PROPN
ejpam-4378	416	3	fabrizio	fabrizio	PROPN
ejpam-4378	416	4	fractional	fractional	PROPN
ejpam-4378	416	5	order	order	NOUN
ejpam-4378	416	6	model	model	NOUN
ejpam-4378	416	7	for	for	ADP
ejpam-4378	416	8	control	control	NOUN
ejpam-4378	416	9	of	of	ADP
ejpam-4378	416	10	glucose	glucose	NOUN
ejpam-4378	416	11	in	in	ADP
ejpam-4378	416	12	insulin	insulin	NOUN
ejpam-4378	416	13	therapies	therapy	NOUN
ejpam-4378	416	14	for	for	ADP
ejpam-4378	416	15	diabetes	diabetes	NOUN
ejpam-4378	416	16	.	.	PUNCT
ejpam-4378	417	1	ain	ain	PROPN
ejpam-4378	417	2	shams	sham	VERB
ejpam-4378	417	3	engineering	engineering	NOUN
ejpam-4378	417	4	journal	journal	NOUN
ejpam-4378	417	5	,	,	PUNCT
ejpam-4378	417	6	11(4):1309–1316	11(4):1309–1316	NUM
ejpam-4378	417	7	,	,	PUNCT
ejpam-4378	417	8	2020	2020	NUM
ejpam-4378	417	9	.	.	PUNCT
ejpam-4378	418	1	[	[	X
ejpam-4378	418	2	35	35	NUM
ejpam-4378	418	3	]	]	X
ejpam-4378	418	4	peter	peter	PROPN
ejpam-4378	418	5	szor	szor	PROPN
ejpam-4378	418	6	.	.	PUNCT
ejpam-4378	419	1	the	the	DET
ejpam-4378	419	2	art	art	NOUN
ejpam-4378	419	3	of	of	ADP
ejpam-4378	419	4	computer	computer	NOUN
ejpam-4378	419	5	virus	virus	NOUN
ejpam-4378	419	6	research	research	NOUN
ejpam-4378	419	7	and	and	CCONJ
ejpam-4378	419	8	defense	defense	NOUN
ejpam-4378	419	9	.	.	PUNCT
ejpam-4378	419	10	2005	2005	NUM
ejpam-4378	419	11	.	.	PUNCT
ejpam-4378	420	1	[	[	X
ejpam-4378	420	2	36	36	NUM
ejpam-4378	420	3	]	]	X
ejpam-4378	420	4	m	m	VERB
ejpam-4378	420	5	toufik	toufik	ADJ
ejpam-4378	420	6	and	and	CCONJ
ejpam-4378	420	7	a	a	DET
ejpam-4378	420	8	atangana	atangana	PROPN
ejpam-4378	420	9	.	.	PUNCT
ejpam-4378	421	1	nonlocal	nonlocal	ADJ
ejpam-4378	421	2	continuum	continuum	ADJ
ejpam-4378	421	3	theories	theory	NOUN
ejpam-4378	421	4	of	of	ADP
ejpam-4378	421	5	beam	beam	NOUN
ejpam-4378	421	6	for	for	ADP
ejpam-4378	421	7	the	the	DET
ejpam-4378	421	8	analysis	analysis	NOUN
ejpam-4378	421	9	of	of	ADP
ejpam-4378	421	10	carbon	carbon	NOUN
ejpam-4378	421	11	nanotubes	nanotube	NOUN
ejpam-4378	421	12	.	.	PUNCT
ejpam-4378	422	1	eur	eur	NOUN
ejpam-4378	422	2	.	.	PUNCT
ejpam-4378	423	1	phys	phy	NOUN
ejpam-4378	423	2	.	.	PUNCT
ejpam-4378	424	1	j.	j.	PROPN
ejpam-4378	424	2	plus	plus	PROPN
ejpam-4378	424	3	,	,	PUNCT
ejpam-4378	424	4	132(10):1–16	132(10):1–16	NOUN
ejpam-4378	424	5	,	,	PUNCT
ejpam-4378	424	6	2017	2017	NUM
ejpam-4378	424	7	.	.	PUNCT
ejpam-4378	425	1	[	[	X
ejpam-4378	425	2	37	37	NUM
ejpam-4378	425	3	]	]	X
ejpam-4378	425	4	khalil	khalil	PROPN
ejpam-4378	425	5	ullah	ullah	PROPN
ejpam-4378	425	6	,	,	PUNCT
ejpam-4378	425	7	muhammad	muhammad	PROPN
ejpam-4378	425	8	aslam	aslam	PROPN
ejpam-4378	425	9	,	,	PUNCT
ejpam-4378	425	10	and	and	CCONJ
ejpam-4378	425	11	tabassum	tabassum	VERB
ejpam-4378	425	12	naz	naz	PROPN
ejpam-4378	425	13	sindhu	sindhu	PROPN
ejpam-4378	425	14	.	.	PUNCT
ejpam-4378	426	1	bayesian	bayesian	NOUN
ejpam-4378	426	2	analysis	analysis	NOUN
ejpam-4378	426	3	of	of	ADP
ejpam-4378	426	4	the	the	DET
ejpam-4378	426	5	weibull	weibull	PROPN
ejpam-4378	426	6	paired	pair	VERB
ejpam-4378	426	7	comparison	comparison	NOUN
ejpam-4378	426	8	model	model	NOUN
ejpam-4378	426	9	using	use	VERB
ejpam-4378	426	10	informative	informative	ADJ
ejpam-4378	426	11	prior	prior	ADV
ejpam-4378	426	12	.	.	PUNCT
ejpam-4378	427	1	alexandria	alexandria	PROPN
ejpam-4378	427	2	engineering	engineering	PROPN
ejpam-4378	427	3	journal	journal	PROPN
ejpam-4378	427	4	,	,	PUNCT
ejpam-4378	427	5	59(4):2371–2378	59(4):2371–2378	NUM
ejpam-4378	427	6	,	,	PUNCT
ejpam-4378	427	7	2020	2020	NUM
ejpam-4378	427	8	.	.	PUNCT
ejpam-4378	428	1	[	[	X
ejpam-4378	428	2	38	38	NUM
ejpam-4378	428	3	]	]	PUNCT
ejpam-4378	428	4	fangwei	fangwei	NOUN
ejpam-4378	428	5	wang	wang	PROPN
ejpam-4378	428	6	,	,	PUNCT
ejpam-4378	428	7	yunkai	yunkai	PROPN
ejpam-4378	428	8	zhang	zhang	PROPN
ejpam-4378	428	9	,	,	PUNCT
ejpam-4378	428	10	changguang	changguang	PROPN
ejpam-4378	428	11	wang	wang	PROPN
ejpam-4378	428	12	,	,	PUNCT
ejpam-4378	428	13	jianfeng	jianfeng	PROPN
ejpam-4378	428	14	ma	ma	PROPN
ejpam-4378	428	15	,	,	PUNCT
ejpam-4378	428	16	and	and	CCONJ
ejpam-4378	428	17	sangjae	sangjae	PROPN
ejpam-4378	428	18	moon	moon	PROPN
ejpam-4378	428	19	.	.	PUNCT
ejpam-4378	429	1	stability	stability	NOUN
ejpam-4378	429	2	analysis	analysis	NOUN
ejpam-4378	429	3	of	of	ADP
ejpam-4378	429	4	a	a	DET
ejpam-4378	429	5	seiqv	seiqv	ADJ
ejpam-4378	429	6	epidemic	epidemic	NOUN
ejpam-4378	429	7	model	model	NOUN
ejpam-4378	429	8	for	for	ADP
ejpam-4378	429	9	rapid	rapid	ADJ
ejpam-4378	429	10	spreading	spread	VERB
ejpam-4378	429	11	worms	worm	NOUN
ejpam-4378	429	12	.	.	PUNCT
ejpam-4378	430	1	computers	computer	NOUN
ejpam-4378	430	2	and	and	CCONJ
ejpam-4378	430	3	security	security	NOUN
ejpam-4378	430	4	,	,	PUNCT
ejpam-4378	430	5	29(4):410–418	29(4):410–418	PROPN
ejpam-4378	430	6	,	,	PUNCT
ejpam-4378	430	7	2010	2010	NUM
ejpam-4378	430	8	.	.	PUNCT
ejpam-4378	431	1	[	[	X
ejpam-4378	431	2	39	39	NUM
ejpam-4378	431	3	]	]	PUNCT
ejpam-4378	431	4	john	john	PROPN
ejpam-4378	431	5	c	c	PROPN
ejpam-4378	431	6	wierman	wierman	NOUN
ejpam-4378	431	7	and	and	CCONJ
ejpam-4378	431	8	david	david	PROPN
ejpam-4378	431	9	j	j	PROPN
ejpam-4378	431	10	marchette	marchette	PROPN
ejpam-4378	431	11	.	.	PUNCT
ejpam-4378	432	1	modeling	model	VERB
ejpam-4378	432	2	computer	computer	NOUN
ejpam-4378	432	3	virus	virus	NOUN
ejpam-4378	432	4	prevalence	prevalence	NOUN
ejpam-4378	432	5	with	with	ADP
ejpam-4378	432	6	a	a	DET
ejpam-4378	432	7	susceptible	susceptible	ADJ
ejpam-4378	432	8	-	-	PUNCT
ejpam-4378	432	9	infected	infect	VERB
ejpam-4378	432	10	-	-	PUNCT
ejpam-4378	432	11	susceptible	susceptible	ADJ
ejpam-4378	432	12	model	model	NOUN
ejpam-4378	432	13	with	with	ADP
ejpam-4378	432	14	reintroduction	reintroduction	NOUN
ejpam-4378	432	15	.	.	PUNCT
ejpam-4378	433	1	computational	computational	ADJ
ejpam-4378	433	2	statistics	statistic	NOUN
ejpam-4378	433	3	and	and	CCONJ
ejpam-4378	433	4	data	datum	NOUN
ejpam-4378	433	5	analysis	analysis	NOUN
ejpam-4378	433	6	,	,	PUNCT
ejpam-4378	433	7	45(1):3–23	45(1):3–23	NUM
ejpam-4378	433	8	,	,	PUNCT
ejpam-4378	433	9	2004	2004	NUM
ejpam-4378	433	10	.	.	PUNCT
ejpam-4378	434	1	[	[	X
ejpam-4378	434	2	40	40	NUM
ejpam-4378	434	3	]	]	X
ejpam-4378	434	4	lu	lu	PROPN
ejpam-4378	434	5	-	-	PUNCT
ejpam-4378	434	6	xing	xing	PROPN
ejpam-4378	434	7	yang	yang	PROPN
ejpam-4378	434	8	,	,	PUNCT
ejpam-4378	434	9	xiaofan	xiaofan	PROPN
ejpam-4378	434	10	yang	yang	PROPN
ejpam-4378	434	11	,	,	PUNCT
ejpam-4378	434	12	luosheng	luosheng	PROPN
ejpam-4378	434	13	wen	wen	PROPN
ejpam-4378	434	14	,	,	PUNCT
ejpam-4378	434	15	and	and	CCONJ
ejpam-4378	434	16	jiming	jime	VERB
ejpam-4378	434	17	liu	liu	PROPN
ejpam-4378	434	18	.	.	PUNCT
ejpam-4378	435	1	a	a	DET
ejpam-4378	435	2	novel	novel	ADJ
ejpam-4378	435	3	computer	computer	NOUN
ejpam-4378	435	4	virus	virus	NOUN
ejpam-4378	435	5	propagation	propagation	NOUN
ejpam-4378	435	6	model	model	NOUN
ejpam-4378	435	7	and	and	CCONJ
ejpam-4378	435	8	its	its	PRON
ejpam-4378	435	9	dynamics	dynamic	NOUN
ejpam-4378	435	10	.	.	PUNCT
ejpam-4378	436	1	international	international	ADJ
ejpam-4378	436	2	journal	journal	PROPN
ejpam-4378	436	3	of	of	ADP
ejpam-4378	436	4	computer	computer	NOUN
ejpam-4378	436	5	mathematics	mathematic	NOUN
ejpam-4378	436	6	,	,	PUNCT
ejpam-4378	436	7	89(17):2307–2314	89(17):2307–2314	NUM
ejpam-4378	436	8	,	,	PUNCT
ejpam-4378	436	9	2012	2012	NUM
ejpam-4378	436	10	.	.	PUNCT
ejpam-4378	437	1	[	[	X
ejpam-4378	437	2	41	41	NUM
ejpam-4378	437	3	]	]	PUNCT
ejpam-4378	437	4	xulong	xulong	PROPN
ejpam-4378	437	5	zhang	zhang	PROPN
ejpam-4378	437	6	.	.	PUNCT
ejpam-4378	438	1	modeling	model	VERB
ejpam-4378	438	2	the	the	DET
ejpam-4378	438	3	spread	spread	NOUN
ejpam-4378	438	4	of	of	ADP
ejpam-4378	438	5	computer	computer	NOUN
ejpam-4378	438	6	viruses	virus	NOUN
ejpam-4378	438	7	under	under	ADP
ejpam-4378	438	8	the	the	DET
ejpam-4378	438	9	effects	effect	NOUN
ejpam-4378	438	10	of	of	ADP
ejpam-4378	438	11	infected	infected	ADJ
ejpam-4378	438	12	external	external	ADJ
ejpam-4378	438	13	computers	computer	NOUN
ejpam-4378	438	14	and	and	CCONJ
ejpam-4378	438	15	removable	removable	ADJ
ejpam-4378	438	16	storage	storage	NOUN
ejpam-4378	438	17	media	medium	NOUN
ejpam-4378	438	18	.	.	PUNCT
ejpam-4378	439	1	international	international	ADJ
ejpam-4378	439	2	journal	journal	NOUN
ejpam-4378	439	3	of	of	ADP
ejpam-4378	439	4	security	security	NOUN
ejpam-4378	439	5	and	and	CCONJ
ejpam-4378	439	6	its	its	PRON
ejpam-4378	439	7	applications	application	NOUN
ejpam-4378	439	8	,	,	PUNCT
ejpam-4378	439	9	10(3):419–428	10(3):419–428	NUM
ejpam-4378	439	10	,	,	PUNCT
ejpam-4378	439	11	2016	2016	NUM
ejpam-4378	439	12	.	.	PUNCT
ejpam-4378	440	1	[	[	X
ejpam-4378	440	2	42	42	NUM
ejpam-4378	440	3	]	]	X
ejpam-4378	440	4	qingyi	qingyi	PROPN
ejpam-4378	440	5	zhu	zhu	PROPN
ejpam-4378	440	6	,	,	PUNCT
ejpam-4378	440	7	xiaofan	xiaofan	PROPN
ejpam-4378	440	8	yang	yang	PROPN
ejpam-4378	440	9	,	,	PUNCT
ejpam-4378	440	10	lu	lu	PROPN
ejpam-4378	440	11	-	-	PUNCT
ejpam-4378	440	12	xing	xing	PROPN
ejpam-4378	440	13	yang	yang	PROPN
ejpam-4378	440	14	,	,	PUNCT
ejpam-4378	440	15	and	and	CCONJ
ejpam-4378	440	16	xulong	xulong	PROPN
ejpam-4378	440	17	zhang	zhang	PROPN
ejpam-4378	440	18	.	.	PUNCT
ejpam-4378	441	1	a	a	DET
ejpam-4378	441	2	mixing	mix	VERB
ejpam-4378	441	3	propagation	propagation	NOUN
ejpam-4378	441	4	model	model	NOUN
ejpam-4378	441	5	of	of	ADP
ejpam-4378	441	6	computer	computer	NOUN
ejpam-4378	441	7	viruses	virus	NOUN
ejpam-4378	441	8	and	and	CCONJ
ejpam-4378	441	9	countermeasures	countermeasure	NOUN
ejpam-4378	441	10	.	.	PUNCT
ejpam-4378	442	1	nonlinear	nonlinear	ADJ
ejpam-4378	442	2	dynamics	dynamic	NOUN
ejpam-4378	442	3	,	,	PUNCT
ejpam-4378	442	4	73(3):1433	73(3):1433	NUM
ejpam-4378	442	5	–	–	PUNCT
ejpam-4378	442	6	1441	1441	NUM
ejpam-4378	442	7	,	,	PUNCT
ejpam-4378	442	8	2013	2013	NUM
ejpam-4378	442	9	.	.	PUNCT