id	sid	tid	token	lemma	pos
ejpam-6981	1	1	european	european	PROPN
ejpam-6981	1	2	journal	journal	PROPN
ejpam-6981	1	3	of	of	ADP
ejpam-6981	1	4	pure	pure	ADJ
ejpam-6981	1	5	and	and	CCONJ
ejpam-6981	1	6	applied	applied	ADJ
ejpam-6981	1	7	mathematics	mathematic	NOUN
ejpam-6981	1	8	2025	2025	NUM
ejpam-6981	1	9	,	,	PUNCT
ejpam-6981	1	10	vol	vol	NOUN
ejpam-6981	1	11	.	.	PROPN
ejpam-6981	1	12	18	18	NUM
ejpam-6981	1	13	,	,	PUNCT
ejpam-6981	1	14	issue	issue	NOUN
ejpam-6981	1	15	4	4	NUM
ejpam-6981	1	16	,	,	PUNCT
ejpam-6981	1	17	article	article	NOUN
ejpam-6981	1	18	number	number	NOUN
ejpam-6981	1	19	6981	6981	NUM
ejpam-6981	1	20	issn	issn	PROPN
ejpam-6981	1	21	1307	1307	NUM
ejpam-6981	1	22	-	-	SYM
ejpam-6981	1	23	5543	5543	NUM
ejpam-6981	1	24	–	–	PUNCT
ejpam-6981	1	25	ejpam.com	ejpam.com	X
ejpam-6981	1	26	published	publish	VERB
ejpam-6981	1	27	by	by	ADP
ejpam-6981	1	28	new	new	PROPN
ejpam-6981	1	29	york	york	PROPN
ejpam-6981	1	30	business	business	PROPN
ejpam-6981	1	31	global	global	ADJ
ejpam-6981	1	32	malaria	malaria	NOUN
ejpam-6981	1	33	and	and	CCONJ
ejpam-6981	1	34	malnutrition	malnutrition	NOUN
ejpam-6981	1	35	dynamics	dynamic	NOUN
ejpam-6981	1	36	in	in	ADP
ejpam-6981	1	37	children	child	NOUN
ejpam-6981	1	38	using	use	VERB
ejpam-6981	1	39	the	the	DET
ejpam-6981	1	40	caputo	caputo	PROPN
ejpam-6981	1	41	–	–	PUNCT
ejpam-6981	1	42	fabrizio	fabrizio	PROPN
ejpam-6981	1	43	fractional	fractional	PROPN
ejpam-6981	1	44	derivative	derivative	PROPN
ejpam-6981	1	45	amjad	amjad	PROPN
ejpam-6981	1	46	shaikh1	shaikh1	PROPN
ejpam-6981	1	47	,	,	PUNCT
ejpam-6981	1	48	sunil	sunil	PROPN
ejpam-6981	1	49	howal2	howal2	PROPN
ejpam-6981	1	50	,	,	PUNCT
ejpam-6981	1	51	kottakkaran	kottakkaran	VERB
ejpam-6981	1	52	sooppy	sooppy	ADJ
ejpam-6981	1	53	nisar3,∗	nisar3,∗	NOUN
ejpam-6981	1	54	1	1	NUM
ejpam-6981	1	55	department	department	NOUN
ejpam-6981	1	56	of	of	ADP
ejpam-6981	1	57	mathematics	mathematics	PROPN
ejpam-6981	1	58	,	,	PUNCT
ejpam-6981	1	59	aki	aki	PROPN
ejpam-6981	1	60	’s	’s	PART
ejpam-6981	1	61	poona	poona	PROPN
ejpam-6981	1	62	college	college	PROPN
ejpam-6981	1	63	of	of	ADP
ejpam-6981	1	64	arts	art	NOUN
ejpam-6981	1	65	,	,	PUNCT
ejpam-6981	1	66	science	science	NOUN
ejpam-6981	1	67	and	and	CCONJ
ejpam-6981	1	68	commerce	commerce	PROPN
ejpam-6981	1	69	,	,	PUNCT
ejpam-6981	1	70	camp	camp	NOUN
ejpam-6981	1	71	,	,	PUNCT
ejpam-6981	1	72	pune	pune	NOUN
ejpam-6981	1	73	,	,	PUNCT
ejpam-6981	1	74	india	india	PROPN
ejpam-6981	1	75	2	2	NUM
ejpam-6981	1	76	department	department	NOUN
ejpam-6981	1	77	of	of	ADP
ejpam-6981	1	78	mathematics	mathematic	NOUN
ejpam-6981	1	79	,	,	PUNCT
ejpam-6981	1	80	sir	sir	NOUN
ejpam-6981	1	81	parshurambhau	parshurambhau	PROPN
ejpam-6981	1	82	college	college	PROPN
ejpam-6981	1	83	,	,	PUNCT
ejpam-6981	1	84	savitribai	savitribai	VERB
ejpam-6981	1	85	phule	phule	PROPN
ejpam-6981	1	86	pune	pune	PROPN
ejpam-6981	1	87	university	university	PROPN
ejpam-6981	1	88	,	,	PUNCT
ejpam-6981	1	89	pune	pune	NOUN
ejpam-6981	1	90	,	,	PUNCT
ejpam-6981	1	91	india	india	PROPN
ejpam-6981	1	92	3	3	PROPN
ejpam-6981	1	93	department	department	PROPN
ejpam-6981	1	94	of	of	ADP
ejpam-6981	1	95	mathematics	mathematics	PROPN
ejpam-6981	1	96	,	,	PUNCT
ejpam-6981	1	97	college	college	NOUN
ejpam-6981	1	98	of	of	ADP
ejpam-6981	1	99	science	science	NOUN
ejpam-6981	1	100	and	and	CCONJ
ejpam-6981	1	101	humanities	humanity	NOUN
ejpam-6981	1	102	in	in	ADP
ejpam-6981	1	103	al	al	PROPN
ejpam-6981	1	104	kharj	kharj	PROPN
ejpam-6981	1	105	,	,	PUNCT
ejpam-6981	1	106	prince	prince	PROPN
ejpam-6981	1	107	sattam	sattam	PROPN
ejpam-6981	1	108	bin	bin	PROPN
ejpam-6981	1	109	abdulaziz	abdulaziz	PROPN
ejpam-6981	1	110	university	university	PROPN
ejpam-6981	1	111	,	,	PUNCT
ejpam-6981	1	112	al	al	PROPN
ejpam-6981	1	113	kharj	kharj	PROPN
ejpam-6981	1	114	,	,	PUNCT
ejpam-6981	1	115	11942	11942	NUM
ejpam-6981	1	116	,	,	PUNCT
ejpam-6981	1	117	saudi	saudi	PROPN
ejpam-6981	1	118	arabia	arabia	PROPN
ejpam-6981	1	119	abstract	abstract	NOUN
ejpam-6981	1	120	.	.	PUNCT
ejpam-6981	2	1	malaria	malaria	NOUN
ejpam-6981	2	2	poses	pose	VERB
ejpam-6981	2	3	a	a	DET
ejpam-6981	2	4	significant	significant	ADJ
ejpam-6981	2	5	global	global	ADJ
ejpam-6981	2	6	public	public	ADJ
ejpam-6981	2	7	health	health	NOUN
ejpam-6981	2	8	challenge	challenge	NOUN
ejpam-6981	2	9	as	as	ADP
ejpam-6981	2	10	an	an	DET
ejpam-6981	2	11	infectious	infectious	ADJ
ejpam-6981	2	12	disease	disease	NOUN
ejpam-6981	2	13	transmitted	transmit	VERB
ejpam-6981	2	14	by	by	ADP
ejpam-6981	2	15	vectors	vector	NOUN
ejpam-6981	2	16	,	,	PUNCT
ejpam-6981	2	17	particularly	particularly	ADV
ejpam-6981	2	18	affecting	affect	VERB
ejpam-6981	2	19	young	young	ADJ
ejpam-6981	2	20	children	child	NOUN
ejpam-6981	2	21	,	,	PUNCT
ejpam-6981	2	22	with	with	ADP
ejpam-6981	2	23	substantial	substantial	ADJ
ejpam-6981	2	24	morbidity	morbidity	NOUN
ejpam-6981	2	25	and	and	CCONJ
ejpam-6981	2	26	mortality	mortality	NOUN
ejpam-6981	2	27	rates	rate	NOUN
ejpam-6981	2	28	.	.	PUNCT
ejpam-6981	3	1	this	this	DET
ejpam-6981	3	2	study	study	NOUN
ejpam-6981	3	3	formulates	formulate	VERB
ejpam-6981	3	4	criteria	criterion	NOUN
ejpam-6981	3	5	ensuring	ensure	VERB
ejpam-6981	3	6	the	the	DET
ejpam-6981	3	7	stability	stability	NOUN
ejpam-6981	3	8	,	,	PUNCT
ejpam-6981	3	9	uniqueness	uniqueness	NOUN
ejpam-6981	3	10	,	,	PUNCT
ejpam-6981	3	11	and	and	CCONJ
ejpam-6981	3	12	existence	existence	NOUN
ejpam-6981	3	13	of	of	ADP
ejpam-6981	3	14	a	a	DET
ejpam-6981	3	15	fractionalorder	fractionalorder	ADJ
ejpam-6981	3	16	malaria	malaria	NOUN
ejpam-6981	3	17	-	-	PUNCT
ejpam-6981	3	18	malnutrition	malnutrition	NOUN
ejpam-6981	3	19	framework	framework	NOUN
ejpam-6981	3	20	utilizing	utilize	VERB
ejpam-6981	3	21	the	the	DET
ejpam-6981	3	22	caputo	caputo	PROPN
ejpam-6981	3	23	-	-	PUNCT
ejpam-6981	3	24	fabrizio	fabrizio	PROPN
ejpam-6981	3	25	differential	differential	NOUN
ejpam-6981	3	26	operator	operator	NOUN
ejpam-6981	3	27	,	,	PUNCT
ejpam-6981	3	28	employing	employ	VERB
ejpam-6981	3	29	the	the	DET
ejpam-6981	3	30	fixed	fix	VERB
ejpam-6981	3	31	-	-	PUNCT
ejpam-6981	3	32	point	point	NOUN
ejpam-6981	3	33	methodology	methodology	NOUN
ejpam-6981	3	34	.	.	PUNCT
ejpam-6981	4	1	the	the	DET
ejpam-6981	4	2	adoption	adoption	NOUN
ejpam-6981	4	3	of	of	ADP
ejpam-6981	4	4	this	this	DET
ejpam-6981	4	5	fractional	fractional	ADJ
ejpam-6981	4	6	differentiation	differentiation	NOUN
ejpam-6981	4	7	technique	technique	NOUN
ejpam-6981	4	8	is	be	AUX
ejpam-6981	4	9	an	an	DET
ejpam-6981	4	10	innovative	innovative	ADJ
ejpam-6981	4	11	approach	approach	NOUN
ejpam-6981	4	12	within	within	ADP
ejpam-6981	4	13	such	such	ADJ
ejpam-6981	4	14	biological	biological	ADJ
ejpam-6981	4	15	contexts	contexts	NOUN
ejpam-6981	4	16	.	.	PUNCT
ejpam-6981	5	1	furthermore	furthermore	ADV
ejpam-6981	5	2	,	,	PUNCT
ejpam-6981	5	3	we	we	PRON
ejpam-6981	5	4	obtain	obtain	VERB
ejpam-6981	5	5	the	the	DET
ejpam-6981	5	6	earliest	early	ADJ
ejpam-6981	5	7	approximate	approximate	ADJ
ejpam-6981	5	8	solutions	solution	NOUN
ejpam-6981	5	9	for	for	ADP
ejpam-6981	5	10	the	the	DET
ejpam-6981	5	11	formulated	formulated	ADJ
ejpam-6981	5	12	model	model	NOUN
ejpam-6981	5	13	through	through	ADP
ejpam-6981	5	14	the	the	DET
ejpam-6981	5	15	iterative	iterative	NOUN
ejpam-6981	5	16	laplace	laplace	NOUN
ejpam-6981	5	17	transform	transform	NOUN
ejpam-6981	5	18	procedure	procedure	NOUN
ejpam-6981	5	19	.	.	PUNCT
ejpam-6981	6	1	at	at	ADP
ejpam-6981	6	2	last	last	ADJ
ejpam-6981	6	3	,	,	PUNCT
ejpam-6981	6	4	numerical	numerical	ADJ
ejpam-6981	6	5	simulations	simulation	NOUN
ejpam-6981	6	6	are	be	AUX
ejpam-6981	6	7	performed	perform	VERB
ejpam-6981	6	8	using	use	VERB
ejpam-6981	6	9	the	the	DET
ejpam-6981	6	10	selected	select	VERB
ejpam-6981	6	11	model	model	NOUN
ejpam-6981	6	12	parameter	parameter	NOUN
ejpam-6981	6	13	values	value	NOUN
ejpam-6981	6	14	.	.	PUNCT
ejpam-6981	7	1	our	our	PRON
ejpam-6981	7	2	findings	finding	NOUN
ejpam-6981	7	3	indicate	indicate	VERB
ejpam-6981	7	4	that	that	SCONJ
ejpam-6981	7	5	ensuring	ensure	VERB
ejpam-6981	7	6	a	a	DET
ejpam-6981	7	7	well	well	ADV
ejpam-6981	7	8	-	-	PUNCT
ejpam-6981	7	9	rounded	round	VERB
ejpam-6981	7	10	diet	diet	NOUN
ejpam-6981	7	11	is	be	AUX
ejpam-6981	7	12	crucial	crucial	ADJ
ejpam-6981	7	13	for	for	ADP
ejpam-6981	7	14	mitigating	mitigate	VERB
ejpam-6981	7	15	the	the	DET
ejpam-6981	7	16	spread	spread	NOUN
ejpam-6981	7	17	of	of	ADP
ejpam-6981	7	18	malaria	malaria	NOUN
ejpam-6981	7	19	among	among	ADP
ejpam-6981	7	20	young	young	ADJ
ejpam-6981	7	21	children	child	NOUN
ejpam-6981	7	22	,	,	PUNCT
ejpam-6981	7	23	thereby	thereby	ADV
ejpam-6981	7	24	reducing	reduce	VERB
ejpam-6981	7	25	both	both	DET
ejpam-6981	7	26	morbidity	morbidity	NOUN
ejpam-6981	7	27	and	and	CCONJ
ejpam-6981	7	28	mortality	mortality	NOUN
ejpam-6981	7	29	.	.	PUNCT
ejpam-6981	8	1	2020	2020	NUM
ejpam-6981	8	2	mathematics	mathematic	NOUN
ejpam-6981	8	3	subject	subject	NOUN
ejpam-6981	8	4	classifications	classification	NOUN
ejpam-6981	8	5	:	:	PUNCT
ejpam-6981	8	6	26a33	26a33	NUM
ejpam-6981	8	7	,	,	PUNCT
ejpam-6981	8	8	33e12	33e12	NUM
ejpam-6981	8	9	,	,	PUNCT
ejpam-6981	8	10	34a08	34a08	NUM
ejpam-6981	8	11	,	,	PUNCT
ejpam-6981	8	12	65r10	65r10	NUM
ejpam-6981	8	13	key	key	ADJ
ejpam-6981	8	14	words	word	NOUN
ejpam-6981	8	15	and	and	CCONJ
ejpam-6981	8	16	phrases	phrase	NOUN
ejpam-6981	8	17	:	:	PUNCT
ejpam-6981	8	18	mathematical	mathematical	ADJ
ejpam-6981	8	19	models	model	NOUN
ejpam-6981	8	20	,	,	PUNCT
ejpam-6981	8	21	malaria	malaria	ADJ
ejpam-6981	8	22	fever	fever	NOUN
ejpam-6981	8	23	,	,	PUNCT
ejpam-6981	8	24	caputo	caputo	PROPN
ejpam-6981	8	25	-	-	PUNCT
ejpam-6981	8	26	fabrizio	fabrizio	PROPN
ejpam-6981	8	27	derivative	derivative	NOUN
ejpam-6981	8	28	,	,	PUNCT
ejpam-6981	8	29	existence	existence	NOUN
ejpam-6981	8	30	,	,	PUNCT
ejpam-6981	8	31	uniqueness	uniqueness	NOUN
ejpam-6981	8	32	and	and	CCONJ
ejpam-6981	8	33	stability	stability	NOUN
ejpam-6981	8	34	,	,	PUNCT
ejpam-6981	8	35	numerical	numerical	ADJ
ejpam-6981	8	36	simulations	simulation	NOUN
ejpam-6981	8	37	1	1	NUM
ejpam-6981	8	38	.	.	PUNCT
ejpam-6981	9	1	introduction	introduction	NOUN
ejpam-6981	9	2	malaria	malaria	NOUN
ejpam-6981	9	3	is	be	AUX
ejpam-6981	9	4	a	a	DET
ejpam-6981	9	5	disease	disease	NOUN
ejpam-6981	9	6	spread	spread	VERB
ejpam-6981	9	7	by	by	ADP
ejpam-6981	9	8	infected	infected	ADJ
ejpam-6981	9	9	female	female	ADJ
ejpam-6981	9	10	anopheles	anophele	NOUN
ejpam-6981	9	11	mosquitoes	mosquitoe	VERB
ejpam-6981	9	12	transmitting	transmit	VERB
ejpam-6981	9	13	the	the	DET
ejpam-6981	9	14	plasmodium	plasmodium	NOUN
ejpam-6981	9	15	parasite	parasite	NOUN
ejpam-6981	9	16	.	.	PUNCT
ejpam-6981	10	1	it	it	PRON
ejpam-6981	10	2	is	be	AUX
ejpam-6981	10	3	a	a	DET
ejpam-6981	10	4	significant	significant	ADJ
ejpam-6981	10	5	health	health	NOUN
ejpam-6981	10	6	issue	issue	NOUN
ejpam-6981	10	7	in	in	ADP
ejpam-6981	10	8	numerous	numerous	ADJ
ejpam-6981	10	9	tropical	tropical	ADJ
ejpam-6981	10	10	and	and	CCONJ
ejpam-6981	10	11	subtropical	subtropical	ADJ
ejpam-6981	10	12	areas	area	NOUN
ejpam-6981	10	13	.	.	PUNCT
ejpam-6981	11	1	the	the	DET
ejpam-6981	11	2	parasite	parasite	NOUN
ejpam-6981	11	3	first	first	ADV
ejpam-6981	11	4	grows	grow	VERB
ejpam-6981	11	5	in	in	ADP
ejpam-6981	11	6	the	the	DET
ejpam-6981	11	7	liver	liver	NOUN
ejpam-6981	11	8	and	and	CCONJ
ejpam-6981	11	9	then	then	ADV
ejpam-6981	11	10	attacks	attack	VERB
ejpam-6981	11	11	erythrocytes	erythrocyte	NOUN
ejpam-6981	11	12	,	,	PUNCT
ejpam-6981	11	13	resulting	result	VERB
ejpam-6981	11	14	in	in	ADP
ejpam-6981	11	15	symptoms	symptom	NOUN
ejpam-6981	11	16	like	like	ADP
ejpam-6981	11	17	tiredness	tiredness	NOUN
ejpam-6981	11	18	,	,	PUNCT
ejpam-6981	11	19	muscle	muscle	NOUN
ejpam-6981	11	20	pain	pain	NOUN
ejpam-6981	11	21	,	,	PUNCT
ejpam-6981	11	22	headaches	headache	NOUN
ejpam-6981	11	23	,	,	PUNCT
ejpam-6981	11	24	sweating	sweating	NOUN
ejpam-6981	11	25	,	,	PUNCT
ejpam-6981	11	26	chills	chill	NOUN
ejpam-6981	11	27	and	and	CCONJ
ejpam-6981	11	28	fever	fever	NOUN
ejpam-6981	11	29	.	.	PUNCT
ejpam-6981	12	1	malaria	malaria	NOUN
ejpam-6981	12	2	does	do	AUX
ejpam-6981	12	3	not	not	PART
ejpam-6981	12	4	spread	spread	VERB
ejpam-6981	12	5	directly	directly	ADV
ejpam-6981	12	6	from	from	ADP
ejpam-6981	12	7	person	person	NOUN
ejpam-6981	12	8	to	to	ADP
ejpam-6981	12	9	person	person	NOUN
ejpam-6981	12	10	.	.	PUNCT
ejpam-6981	13	1	it	it	PRON
ejpam-6981	13	2	is	be	AUX
ejpam-6981	13	3	only	only	ADV
ejpam-6981	13	4	transmitted	transmit	VERB
ejpam-6981	13	5	through	through	ADP
ejpam-6981	13	6	mosquito	mosquito	ADJ
ejpam-6981	13	7	bites	bite	NOUN
ejpam-6981	13	8	,	,	PUNCT
ejpam-6981	13	9	when	when	SCONJ
ejpam-6981	13	10	an	an	DET
ejpam-6981	13	11	infected	infected	ADJ
ejpam-6981	13	12	person	person	NOUN
ejpam-6981	13	13	is	be	AUX
ejpam-6981	13	14	bitten	bite	VERB
ejpam-6981	13	15	by	by	ADP
ejpam-6981	13	16	a	a	DET
ejpam-6981	13	17	mosquito	mosquito	NOUN
ejpam-6981	13	18	,	,	PUNCT
ejpam-6981	13	19	it	it	PRON
ejpam-6981	13	20	picks	pick	VERB
ejpam-6981	13	21	up	up	ADP
ejpam-6981	13	22	the	the	DET
ejpam-6981	13	23	infectious	infectious	ADJ
ejpam-6981	13	24	agent	agent	NOUN
ejpam-6981	13	25	and	and	CCONJ
ejpam-6981	13	26	can	can	AUX
ejpam-6981	13	27	pass	pass	VERB
ejpam-6981	13	28	it	it	PRON
ejpam-6981	13	29	on	on	ADP
ejpam-6981	13	30	to	to	ADP
ejpam-6981	13	31	others	other	NOUN
ejpam-6981	13	32	.	.	PUNCT
ejpam-6981	14	1	within	within	ADP
ejpam-6981	14	2	the	the	DET
ejpam-6981	14	3	mosquito	mosquito	NOUN
ejpam-6981	14	4	,	,	PUNCT
ejpam-6981	14	5	these	these	DET
ejpam-6981	14	6	parasites	parasite	NOUN
ejpam-6981	14	7	undergo	undergo	VERB
ejpam-6981	14	8	a	a	DET
ejpam-6981	14	9	complex	complex	ADJ
ejpam-6981	14	10	life	life	NOUN
ejpam-6981	14	11	cycle	cycle	NOUN
ejpam-6981	14	12	.	.	PUNCT
ejpam-6981	15	1	while	while	SCONJ
ejpam-6981	15	2	stopping	stop	VERB
ejpam-6981	15	3	malaria	malaria	NOUN
ejpam-6981	15	4	could	could	AUX
ejpam-6981	15	5	potentially	potentially	ADV
ejpam-6981	15	6	make	make	VERB
ejpam-6981	15	7	children	child	NOUN
ejpam-6981	15	8	grow	grow	VERB
ejpam-6981	15	9	heavier	heavy	ADJ
ejpam-6981	15	10	,	,	PUNCT
ejpam-6981	15	11	this	this	DET
ejpam-6981	15	12	improvement	improvement	NOUN
ejpam-6981	15	13	might	might	AUX
ejpam-6981	15	14	only	only	ADV
ejpam-6981	15	15	be	be	AUX
ejpam-6981	15	16	temporary	temporary	ADJ
ejpam-6981	15	17	[	[	X
ejpam-6981	15	18	1–4	1–4	NOUN
ejpam-6981	15	19	]	]	X
ejpam-6981	15	20	.	.	PUNCT
ejpam-6981	16	1	historically	historically	ADV
ejpam-6981	16	2	,	,	PUNCT
ejpam-6981	16	3	public	public	ADJ
ejpam-6981	16	4	health	health	NOUN
ejpam-6981	16	5	initiatives	initiative	NOUN
ejpam-6981	16	6	prioritized	prioritize	VERB
ejpam-6981	16	7	communicable	communicable	NOUN
ejpam-6981	16	8	diseases	disease	NOUN
ejpam-6981	16	9	and	and	CCONJ
ejpam-6981	16	10	malnutrition	malnutrition	NOUN
ejpam-6981	16	11	due	due	ADP
ejpam-6981	16	12	to	to	ADP
ejpam-6981	16	13	their	their	PRON
ejpam-6981	16	14	significant	significant	ADJ
ejpam-6981	16	15	health	health	NOUN
ejpam-6981	16	16	risks	risk	NOUN
ejpam-6981	16	17	.	.	PUNCT
ejpam-6981	17	1	yet	yet	ADV
ejpam-6981	17	2	,	,	PUNCT
ejpam-6981	17	3	understanding	understand	VERB
ejpam-6981	17	4	the	the	DET
ejpam-6981	17	5	interplay	interplay	NOUN
ejpam-6981	17	6	∗corresponding	∗corresponde	VERB
ejpam-6981	17	7	author	author	NOUN
ejpam-6981	17	8	.	.	PUNCT
ejpam-6981	18	1	doi	doi	NOUN
ejpam-6981	18	2	:	:	PUNCT
ejpam-6981	18	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6981	https://doi.org/10.29020/nybg.ejpam.v18i4.6981	ADJ
ejpam-6981	18	4	email	email	NOUN
ejpam-6981	18	5	addresses	address	NOUN
ejpam-6981	18	6	:	:	PUNCT
ejpam-6981	18	7	amjad.shaikh@poonacollege.edu.in	amjad.shaikh@poonacollege.edu.in	PROPN
ejpam-6981	18	8	(	(	PUNCT
ejpam-6981	18	9	a.	a.	NOUN
ejpam-6981	18	10	shaikh	shaikh	PROPN
ejpam-6981	18	11	)	)	PUNCT
ejpam-6981	18	12	,	,	PUNCT
ejpam-6981	18	13	sunil.howal@fergusson.edu	sunil.howal@fergusson.edu	PROPN
ejpam-6981	18	14	(	(	PUNCT
ejpam-6981	18	15	s.	s.	PROPN
ejpam-6981	18	16	howal	howal	PROPN
ejpam-6981	18	17	)	)	PUNCT
ejpam-6981	18	18	,	,	PUNCT
ejpam-6981	18	19	n.sooppy@psau.edu.sa	n.sooppy@psau.edu.sa	PROPN
ejpam-6981	18	20	(	(	PUNCT
ejpam-6981	18	21	k.	k.	PROPN
ejpam-6981	18	22	s.	s.	PROPN
ejpam-6981	18	23	nisar	nisar	PROPN
ejpam-6981	18	24	)	)	PUNCT
ejpam-6981	18	25	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6981	19	1	1	1	NUM
ejpam-6981	19	2	copyright	copyright	NOUN
ejpam-6981	19	3	:	:	PUNCT
ejpam-6981	19	4	©	©	PROPN
ejpam-6981	19	5	2025	2025	NUM
ejpam-6981	19	6	the	the	DET
ejpam-6981	19	7	author(s	author(s	NOUN
ejpam-6981	19	8	)	)	PUNCT
ejpam-6981	19	9	.	.	PUNCT
ejpam-6981	20	1	(	(	PUNCT
ejpam-6981	20	2	cc	cc	NOUN
ejpam-6981	20	3	by	by	ADP
ejpam-6981	20	4	-	-	PUNCT
ejpam-6981	20	5	nc	nc	PROPN
ejpam-6981	20	6	4.0	4.0	NUM
ejpam-6981	20	7	)	)	PUNCT
ejpam-6981	20	8	a.	a.	NOUN
ejpam-6981	20	9	shaikh	shaikh	PROPN
ejpam-6981	20	10	,	,	PUNCT
ejpam-6981	20	11	s.	s.	PROPN
ejpam-6981	20	12	howal	howal	PROPN
ejpam-6981	20	13	,	,	PUNCT
ejpam-6981	20	14	k.	k.	PROPN
ejpam-6981	20	15	s.	s.	PROPN
ejpam-6981	20	16	nisar	nisar	PROPN
ejpam-6981	20	17	/	/	SYM
ejpam-6981	20	18	eur	eur	PROPN
ejpam-6981	20	19	.	.	PUNCT
ejpam-6981	21	1	j.	j.	PROPN
ejpam-6981	21	2	pure	pure	PROPN
ejpam-6981	21	3	appl	appl	PROPN
ejpam-6981	21	4	.	.	PROPN
ejpam-6981	21	5	math	math	PROPN
ejpam-6981	21	6	,	,	PUNCT
ejpam-6981	21	7	18	18	NUM
ejpam-6981	21	8	(	(	PUNCT
ejpam-6981	21	9	4	4	NUM
ejpam-6981	21	10	)	)	PUNCT
ejpam-6981	21	11	(	(	PUNCT
ejpam-6981	21	12	2025	2025	NUM
ejpam-6981	21	13	)	)	PUNCT
ejpam-6981	21	14	,	,	PUNCT
ejpam-6981	21	15	6981	6981	NUM
ejpam-6981	21	16	2	2	NUM
ejpam-6981	21	17	between	between	ADP
ejpam-6981	21	18	infection	infection	NOUN
ejpam-6981	21	19	and	and	CCONJ
ejpam-6981	21	20	nutrition	nutrition	NOUN
ejpam-6981	21	21	remains	remain	VERB
ejpam-6981	21	22	complex	complex	ADJ
ejpam-6981	21	23	,	,	PUNCT
ejpam-6981	21	24	making	make	VERB
ejpam-6981	21	25	it	it	PRON
ejpam-6981	21	26	challenging	challenging	ADJ
ejpam-6981	21	27	to	to	PART
ejpam-6981	21	28	determine	determine	VERB
ejpam-6981	21	29	the	the	DET
ejpam-6981	21	30	order	order	NOUN
ejpam-6981	21	31	of	of	ADP
ejpam-6981	21	32	addressing	address	VERB
ejpam-6981	21	33	these	these	DET
ejpam-6981	21	34	issues	issue	NOUN
ejpam-6981	21	35	.	.	PUNCT
ejpam-6981	22	1	this	this	DET
ejpam-6981	22	2	study	study	NOUN
ejpam-6981	22	3	aimed	aim	VERB
ejpam-6981	22	4	to	to	PART
ejpam-6981	22	5	find	find	VERB
ejpam-6981	22	6	out	out	ADP
ejpam-6981	22	7	how	how	SCONJ
ejpam-6981	22	8	many	many	ADJ
ejpam-6981	22	9	children	child	NOUN
ejpam-6981	22	10	in	in	ADP
ejpam-6981	22	11	the	the	DET
ejpam-6981	22	12	area	area	NOUN
ejpam-6981	22	13	suffer	suffer	VERB
ejpam-6981	22	14	from	from	ADP
ejpam-6981	22	15	malnutrition	malnutrition	NOUN
ejpam-6981	22	16	.	.	PUNCT
ejpam-6981	23	1	it	it	PRON
ejpam-6981	23	2	also	also	ADV
ejpam-6981	23	3	examined	examine	VERB
ejpam-6981	23	4	whether	whether	SCONJ
ejpam-6981	23	5	treating	treat	VERB
ejpam-6981	23	6	diseases	disease	NOUN
ejpam-6981	23	7	,	,	PUNCT
ejpam-6981	23	8	especially	especially	ADV
ejpam-6981	23	9	malaria	malaria	NOUN
ejpam-6981	23	10	,	,	PUNCT
ejpam-6981	23	11	helps	help	VERB
ejpam-6981	23	12	children	child	NOUN
ejpam-6981	23	13	grow	grow	VERB
ejpam-6981	23	14	and	and	CCONJ
ejpam-6981	23	15	develop	develop	VERB
ejpam-6981	23	16	properly	properly	ADV
ejpam-6981	23	17	.	.	PUNCT
ejpam-6981	24	1	researchers	researcher	NOUN
ejpam-6981	24	2	examined	examine	VERB
ejpam-6981	24	3	the	the	DET
ejpam-6981	24	4	relationship	relationship	NOUN
ejpam-6981	24	5	between	between	ADP
ejpam-6981	24	6	malaria	malaria	NOUN
ejpam-6981	24	7	and	and	CCONJ
ejpam-6981	24	8	malnutrition	malnutrition	NOUN
ejpam-6981	24	9	in	in	ADP
ejpam-6981	24	10	children	child	NOUN
ejpam-6981	24	11	under	under	ADP
ejpam-6981	24	12	five	five	NUM
ejpam-6981	24	13	in	in	ADP
ejpam-6981	24	14	a	a	DET
ejpam-6981	24	15	region	region	NOUN
ejpam-6981	24	16	heavily	heavily	ADV
ejpam-6981	24	17	affected	affect	VERB
ejpam-6981	24	18	by	by	ADP
ejpam-6981	24	19	malaria[5	malaria[5	NOUN
ejpam-6981	24	20	]	]	PUNCT
ejpam-6981	24	21	.	.	PUNCT
ejpam-6981	25	1	animal	animal	NOUN
ejpam-6981	25	2	studies	study	NOUN
ejpam-6981	25	3	suggested	suggest	VERB
ejpam-6981	25	4	that	that	SCONJ
ejpam-6981	25	5	a	a	DET
ejpam-6981	25	6	poor	poor	ADJ
ejpam-6981	25	7	diet	diet	NOUN
ejpam-6981	25	8	might	might	AUX
ejpam-6981	25	9	help	help	VERB
ejpam-6981	25	10	reduce	reduce	VERB
ejpam-6981	25	11	malaria	malaria	NOUN
ejpam-6981	25	12	.	.	PUNCT
ejpam-6981	26	1	this	this	PRON
ejpam-6981	26	2	led	lead	VERB
ejpam-6981	26	3	to	to	ADP
ejpam-6981	26	4	the	the	DET
ejpam-6981	26	5	idea	idea	NOUN
ejpam-6981	26	6	that	that	SCONJ
ejpam-6981	26	7	malnourished	malnourished	ADJ
ejpam-6981	26	8	children	child	NOUN
ejpam-6981	26	9	could	could	AUX
ejpam-6981	26	10	be	be	AUX
ejpam-6981	26	11	less	less	ADV
ejpam-6981	26	12	likely	likely	ADJ
ejpam-6981	26	13	to	to	PART
ejpam-6981	26	14	get	get	VERB
ejpam-6981	26	15	malaria	malaria	NOUN
ejpam-6981	26	16	,	,	PUNCT
ejpam-6981	26	17	experience	experience	VERB
ejpam-6981	26	18	severe	severe	ADJ
ejpam-6981	26	19	symptoms	symptom	NOUN
ejpam-6981	26	20	,	,	PUNCT
ejpam-6981	26	21	or	or	CCONJ
ejpam-6981	26	22	die	die	VERB
ejpam-6981	26	23	from	from	ADP
ejpam-6981	26	24	the	the	DET
ejpam-6981	26	25	disease	disease	NOUN
ejpam-6981	27	1	[	[	X
ejpam-6981	27	2	6–9	6–9	NOUN
ejpam-6981	27	3	]	]	X
ejpam-6981	27	4	malaria	malaria	NOUN
ejpam-6981	27	5	and	and	CCONJ
ejpam-6981	27	6	malnutrition	malnutrition	NOUN
ejpam-6981	27	7	are	be	AUX
ejpam-6981	27	8	key	key	ADJ
ejpam-6981	27	9	factors	factor	NOUN
ejpam-6981	27	10	in	in	ADP
ejpam-6981	27	11	child	child	NOUN
ejpam-6981	27	12	mortality	mortality	NOUN
ejpam-6981	27	13	in	in	ADP
ejpam-6981	27	14	sub	sub	ADJ
ejpam-6981	27	15	-	-	ADJ
ejpam-6981	27	16	saharan	saharan	ADJ
ejpam-6981	27	17	africa	africa	PROPN
ejpam-6981	27	18	.	.	PUNCT
ejpam-6981	28	1	repeated	repeat	VERB
ejpam-6981	28	2	malaria	malaria	NOUN
ejpam-6981	28	3	infections	infection	NOUN
ejpam-6981	28	4	weaken	weaken	VERB
ejpam-6981	28	5	children	child	NOUN
ejpam-6981	28	6	’s	’s	PART
ejpam-6981	28	7	nutrition	nutrition	NOUN
ejpam-6981	28	8	and	and	CCONJ
ejpam-6981	28	9	overall	overall	ADJ
ejpam-6981	28	10	well	well	ADV
ejpam-6981	28	11	-	-	PUNCT
ejpam-6981	28	12	being	be	AUX
ejpam-6981	28	13	[	[	PUNCT
ejpam-6981	28	14	10	10	NUM
ejpam-6981	28	15	,	,	PUNCT
ejpam-6981	28	16	11	11	NUM
ejpam-6981	28	17	]	]	PUNCT
ejpam-6981	28	18	.	.	PUNCT
ejpam-6981	29	1	in	in	ADP
ejpam-6981	29	2	this	this	DET
ejpam-6981	29	3	article	article	NOUN
ejpam-6981	29	4	,	,	PUNCT
ejpam-6981	29	5	we	we	PRON
ejpam-6981	29	6	summarize	summarize	VERB
ejpam-6981	29	7	modelling	modelling	NOUN
ejpam-6981	29	8	in	in	ADP
ejpam-6981	29	9	malaria	malaria	NOUN
ejpam-6981	29	10	research	research	NOUN
ejpam-6981	29	11	to	to	PART
ejpam-6981	29	12	help	help	VERB
ejpam-6981	29	13	more	more	ADJ
ejpam-6981	29	14	researchers	researcher	NOUN
ejpam-6981	29	15	in	in	ADP
ejpam-6981	29	16	epidemiology	epidemiology	NOUN
ejpam-6981	29	17	,	,	PUNCT
ejpam-6981	29	18	transmission	transmission	NOUN
ejpam-6981	29	19	,	,	PUNCT
ejpam-6981	29	20	and	and	CCONJ
ejpam-6981	29	21	other	other	ADJ
ejpam-6981	29	22	areas	area	NOUN
ejpam-6981	29	23	understand	understand	VERB
ejpam-6981	29	24	it	it	PRON
ejpam-6981	29	25	better[12	better[12	NOUN
ejpam-6981	29	26	]	]	PUNCT
ejpam-6981	29	27	.	.	PUNCT
ejpam-6981	30	1	a	a	DET
ejpam-6981	30	2	mathematical	mathematical	ADJ
ejpam-6981	30	3	model	model	NOUN
ejpam-6981	30	4	was	be	AUX
ejpam-6981	30	5	developed	develop	VERB
ejpam-6981	30	6	and	and	CCONJ
ejpam-6981	30	7	analyzed	analyze	VERB
ejpam-6981	30	8	to	to	PART
ejpam-6981	30	9	better	well	ADV
ejpam-6981	30	10	understand	understand	VERB
ejpam-6981	30	11	how	how	SCONJ
ejpam-6981	30	12	malaria	malaria	NOUN
ejpam-6981	30	13	spreads	spread	VERB
ejpam-6981	30	14	and	and	CCONJ
ejpam-6981	30	15	identify	identify	VERB
ejpam-6981	30	16	effective	effective	ADJ
ejpam-6981	30	17	ways	way	NOUN
ejpam-6981	30	18	to	to	PART
ejpam-6981	30	19	curb	curb	VERB
ejpam-6981	30	20	and	and	CCONJ
ejpam-6981	30	21	oversee[13	oversee[13	NOUN
ejpam-6981	30	22	]	]	PUNCT
ejpam-6981	30	23	.	.	PUNCT
ejpam-6981	31	1	recent	recent	ADJ
ejpam-6981	31	2	papers	paper	NOUN
ejpam-6981	31	3	have	have	AUX
ejpam-6981	31	4	started	start	VERB
ejpam-6981	31	5	considering	consider	VERB
ejpam-6981	31	6	environmental	environmental	ADJ
ejpam-6981	31	7	factors	factor	NOUN
ejpam-6981	31	8	and	and	CCONJ
ejpam-6981	31	9	the	the	DET
ejpam-6981	31	10	development	development	NOUN
ejpam-6981	31	11	of	of	ADP
ejpam-6981	31	12	drug	drug	NOUN
ejpam-6981	31	13	resistance	resistance	NOUN
ejpam-6981	31	14	in	in	ADP
ejpam-6981	31	15	malaria	malaria	NOUN
ejpam-6981	31	16	[	[	X
ejpam-6981	31	17	14–18	14–18	NUM
ejpam-6981	31	18	]	]	PUNCT
ejpam-6981	31	19	.	.	PUNCT
ejpam-6981	32	1	ngwa	ngwa	PROPN
ejpam-6981	32	2	and	and	CCONJ
ejpam-6981	32	3	shu	shu	NOUN
ejpam-6981	33	1	[	[	X
ejpam-6981	33	2	19	19	NUM
ejpam-6981	33	3	]	]	X
ejpam-6981	33	4	,	,	PUNCT
ejpam-6981	33	5	as	as	ADV
ejpam-6981	33	6	well	well	ADV
ejpam-6981	33	7	as	as	ADP
ejpam-6981	33	8	ngwa	ngwa	NOUN
ejpam-6981	33	9	[	[	X
ejpam-6981	33	10	20	20	NUM
ejpam-6981	33	11	]	]	PUNCT
ejpam-6981	33	12	,	,	PUNCT
ejpam-6981	33	13	introduced	introduce	VERB
ejpam-6981	33	14	an	an	DET
ejpam-6981	33	15	ode	ode	ADJ
ejpam-6981	33	16	compartmental	compartmental	ADJ
ejpam-6981	33	17	model	model	NOUN
ejpam-6981	33	18	for	for	ADP
ejpam-6981	33	19	malaria	malaria	NOUN
ejpam-6981	33	20	spread	spread	NOUN
ejpam-6981	33	21	.	.	PUNCT
ejpam-6981	34	1	addo	addo	PROPN
ejpam-6981	35	1	[	[	X
ejpam-6981	35	2	21	21	NUM
ejpam-6981	35	3	]	]	PUNCT
ejpam-6981	35	4	and	and	CCONJ
ejpam-6981	35	5	tuwiine	tuwiine	VERB
ejpam-6981	35	6	mugisha	mugisha	PROPN
ejpam-6981	35	7	,	,	PUNCT
ejpam-6981	35	8	and	and	CCONJ
ejpam-6981	35	9	luboobi	luboobi	VERB
ejpam-6981	35	10	[	[	X
ejpam-6981	35	11	22	22	NUM
ejpam-6981	35	12	]	]	PUNCT
ejpam-6981	35	13	have	have	AUX
ejpam-6981	35	14	developed	develop	VERB
ejpam-6981	35	15	compartmental	compartmental	ADJ
ejpam-6981	35	16	models	model	NOUN
ejpam-6981	35	17	for	for	ADP
ejpam-6981	35	18	malaria	malaria	NOUN
ejpam-6981	35	19	transmission	transmission	NOUN
ejpam-6981	35	20	,	,	PUNCT
ejpam-6981	35	21	using	use	VERB
ejpam-6981	35	22	susceptible	susceptible	ADJ
ejpam-6981	35	23	-	-	PUNCT
ejpam-6981	35	24	infected	infect	VERB
ejpam-6981	35	25	-	-	PUNCT
ejpam-6981	35	26	recovered	recover	VERB
ejpam-6981	35	27	-	-	PUNCT
ejpam-6981	35	28	susceptible	susceptible	ADJ
ejpam-6981	35	29	(	(	PUNCT
ejpam-6981	35	30	sirs	sir	NOUN
ejpam-6981	35	31	)	)	PUNCT
ejpam-6981	35	32	patterns	pattern	NOUN
ejpam-6981	35	33	for	for	ADP
ejpam-6981	35	34	humans	human	NOUN
ejpam-6981	35	35	and	and	CCONJ
ejpam-6981	35	36	susceptible	susceptible	ADJ
ejpam-6981	35	37	-	-	PUNCT
ejpam-6981	35	38	infected	infected	ADJ
ejpam-6981	35	39	(	(	PUNCT
ejpam-6981	35	40	si	si	NOUN
ejpam-6981	35	41	)	)	PUNCT
ejpam-6981	35	42	patterns	pattern	NOUN
ejpam-6981	35	43	for	for	ADP
ejpam-6981	35	44	mosquitoes	mosquito	NOUN
ejpam-6981	35	45	respectively	respectively	ADV
ejpam-6981	35	46	.	.	PUNCT
ejpam-6981	36	1	yang	yang	PROPN
ejpam-6981	36	2	,	,	PUNCT
ejpam-6981	36	3	wei	wei	PROPN
ejpam-6981	36	4	,	,	PUNCT
ejpam-6981	36	5	and	and	CCONJ
ejpam-6981	36	6	li	li	PROPN
ejpam-6981	37	1	[	[	X
ejpam-6981	37	2	23]proposed	23]proposed	NUM
ejpam-6981	37	3	a	a	DET
ejpam-6981	37	4	compartment	compartment	NOUN
ejpam-6981	37	5	model	model	NOUN
ejpam-6981	37	6	with	with	ADP
ejpam-6981	37	7	sir	sir	NOUN
ejpam-6981	37	8	for	for	ADP
ejpam-6981	37	9	humans	human	NOUN
ejpam-6981	37	10	and	and	CCONJ
ejpam-6981	37	11	si	si	X
ejpam-6981	37	12	for	for	ADP
ejpam-6981	37	13	vectors	vector	NOUN
ejpam-6981	37	14	.	.	PUNCT
ejpam-6981	38	1	these	these	DET
ejpam-6981	38	2	studies	study	NOUN
ejpam-6981	38	3	establish	establish	VERB
ejpam-6981	38	4	the	the	DET
ejpam-6981	38	5	reproduction	reproduction	NOUN
ejpam-6981	38	6	number	number	NOUN
ejpam-6981	38	7	and	and	CCONJ
ejpam-6981	38	8	investigate	investigate	VERB
ejpam-6981	38	9	the	the	DET
ejpam-6981	38	10	conditions	condition	NOUN
ejpam-6981	38	11	for	for	ADP
ejpam-6981	38	12	the	the	DET
ejpam-6981	38	13	existence	existence	NOUN
ejpam-6981	38	14	and	and	CCONJ
ejpam-6981	38	15	stability	stability	NOUN
ejpam-6981	38	16	of	of	ADP
ejpam-6981	38	17	both	both	DET
ejpam-6981	38	18	disease	disease	NOUN
ejpam-6981	38	19	-	-	PUNCT
ejpam-6981	38	20	free	free	ADJ
ejpam-6981	38	21	and	and	CCONJ
ejpam-6981	38	22	endemic	endemic	ADJ
ejpam-6981	38	23	states	state	NOUN
ejpam-6981	38	24	.	.	PUNCT
ejpam-6981	39	1	mathematics	mathematic	NOUN
ejpam-6981	39	2	,	,	PUNCT
ejpam-6981	39	3	especially	especially	ADV
ejpam-6981	39	4	fractional	fractional	ADJ
ejpam-6981	39	5	calculus	calculus	NOUN
ejpam-6981	39	6	,	,	PUNCT
ejpam-6981	39	7	is	be	AUX
ejpam-6981	39	8	vital	vital	ADJ
ejpam-6981	39	9	for	for	ADP
ejpam-6981	39	10	modeling	model	VERB
ejpam-6981	39	11	epidemics	epidemic	NOUN
ejpam-6981	39	12	and	and	CCONJ
ejpam-6981	39	13	biological	biological	ADJ
ejpam-6981	39	14	processes	process	NOUN
ejpam-6981	39	15	.	.	PUNCT
ejpam-6981	40	1	this	this	DET
ejpam-6981	40	2	study	study	NOUN
ejpam-6981	40	3	uses	use	VERB
ejpam-6981	40	4	fractional	fractional	ADJ
ejpam-6981	40	5	operators	operator	NOUN
ejpam-6981	40	6	and	and	CCONJ
ejpam-6981	40	7	numerical	numerical	ADJ
ejpam-6981	40	8	methods	method	NOUN
ejpam-6981	40	9	to	to	PART
ejpam-6981	40	10	analyze	analyze	VERB
ejpam-6981	40	11	disease	disease	NOUN
ejpam-6981	40	12	dynamics	dynamic	NOUN
ejpam-6981	40	13	,	,	PUNCT
ejpam-6981	40	14	compute	compute	VERB
ejpam-6981	40	15	key	key	ADJ
ejpam-6981	40	16	parameters	parameter	NOUN
ejpam-6981	40	17	,	,	PUNCT
ejpam-6981	40	18	and	and	CCONJ
ejpam-6981	40	19	support	support	VERB
ejpam-6981	40	20	decision	decision	NOUN
ejpam-6981	40	21	-	-	PUNCT
ejpam-6981	40	22	making	making	NOUN
ejpam-6981	40	23	,	,	PUNCT
ejpam-6981	40	24	with	with	ADP
ejpam-6981	40	25	potential	potential	NOUN
ejpam-6981	40	26	for	for	ADP
ejpam-6981	40	27	future	future	ADJ
ejpam-6981	40	28	hybrid	hybrid	ADJ
ejpam-6981	40	29	approaches[24	approaches[24	NOUN
ejpam-6981	40	30	]	]	X
ejpam-6981	40	31	.	.	PUNCT
ejpam-6981	41	1	this	this	DET
ejpam-6981	41	2	study	study	NOUN
ejpam-6981	41	3	models	model	VERB
ejpam-6981	41	4	poliomyelitis	poliomyelitis	NOUN
ejpam-6981	41	5	transmission	transmission	NOUN
ejpam-6981	41	6	using	use	VERB
ejpam-6981	41	7	fractional	fractional	ADJ
ejpam-6981	41	8	-	-	PUNCT
ejpam-6981	41	9	order	order	NOUN
ejpam-6981	41	10	abc	abc	PROPN
ejpam-6981	41	11	models	model	NOUN
ejpam-6981	41	12	with	with	ADP
ejpam-6981	41	13	vaccination	vaccination	NOUN
ejpam-6981	41	14	and	and	CCONJ
ejpam-6981	41	15	post	post	ADJ
ejpam-6981	41	16	-	-	ADJ
ejpam-6981	41	17	paralytic	paralytic	ADJ
ejpam-6981	41	18	compartments	compartment	NOUN
ejpam-6981	41	19	,	,	PUNCT
ejpam-6981	41	20	analyzes	analyze	VERB
ejpam-6981	41	21	stability	stability	NOUN
ejpam-6981	41	22	and	and	CCONJ
ejpam-6981	41	23	convergence	convergence	NOUN
ejpam-6981	41	24	,	,	PUNCT
ejpam-6981	41	25	and	and	CCONJ
ejpam-6981	41	26	integrates	integrate	VERB
ejpam-6981	41	27	deep	deep	ADJ
ejpam-6981	41	28	neural	neural	ADJ
ejpam-6981	41	29	networks	network	NOUN
ejpam-6981	41	30	for	for	ADP
ejpam-6981	41	31	accurate	accurate	ADJ
ejpam-6981	41	32	simulation	simulation	NOUN
ejpam-6981	41	33	and	and	CCONJ
ejpam-6981	41	34	prediction	prediction	NOUN
ejpam-6981	41	35	of	of	ADP
ejpam-6981	41	36	disease	disease	NOUN
ejpam-6981	41	37	dynamics[25	dynamics[25	PROPN
ejpam-6981	41	38	]	]	PUNCT
ejpam-6981	41	39	.	.	PUNCT
ejpam-6981	42	1	in	in	ADP
ejpam-6981	42	2	this	this	DET
ejpam-6981	42	3	paper	paper	NOUN
ejpam-6981	42	4	,	,	PUNCT
ejpam-6981	42	5	we	we	PRON
ejpam-6981	42	6	developed	develop	VERB
ejpam-6981	42	7	criteria	criterion	NOUN
ejpam-6981	42	8	for	for	ADP
ejpam-6981	42	9	the	the	DET
ejpam-6981	42	10	uniqueness	uniqueness	NOUN
ejpam-6981	42	11	,	,	PUNCT
ejpam-6981	42	12	stability	stability	NOUN
ejpam-6981	42	13	and	and	CCONJ
ejpam-6981	42	14	existence	existence	NOUN
ejpam-6981	42	15	of	of	ADP
ejpam-6981	42	16	a	a	DET
ejpam-6981	42	17	fractional	fractional	ADJ
ejpam-6981	42	18	-	-	PUNCT
ejpam-6981	42	19	order	order	NOUN
ejpam-6981	42	20	typhoid	typhoid	NOUN
ejpam-6981	42	21	fever	fever	NOUN
ejpam-6981	42	22	model	model	NOUN
ejpam-6981	42	23	using	use	VERB
ejpam-6981	42	24	the	the	DET
ejpam-6981	42	25	caputo	caputo	PROPN
ejpam-6981	42	26	–	–	PUNCT
ejpam-6981	42	27	fabrizio	fabrizio	NOUN
ejpam-6981	42	28	operator	operator	NOUN
ejpam-6981	42	29	and	and	CCONJ
ejpam-6981	42	30	fixed	fix	VERB
ejpam-6981	42	31	-	-	PUNCT
ejpam-6981	42	32	point	point	NOUN
ejpam-6981	42	33	theory[26	theory[26	NOUN
ejpam-6981	42	34	]	]	PUNCT
ejpam-6981	42	35	.	.	PUNCT
ejpam-6981	43	1	infectious	infectious	ADJ
ejpam-6981	43	2	diseases	disease	NOUN
ejpam-6981	43	3	can	can	AUX
ejpam-6981	43	4	be	be	AUX
ejpam-6981	43	5	accurately	accurately	ADV
ejpam-6981	43	6	modelled	model	VERB
ejpam-6981	43	7	using	use	VERB
ejpam-6981	43	8	the	the	DET
ejpam-6981	43	9	non	non	ADJ
ejpam-6981	43	10	-	-	ADJ
ejpam-6981	43	11	local	local	ADJ
ejpam-6981	43	12	caputo	caputo	PROPN
ejpam-6981	43	13	–	–	PUNCT
ejpam-6981	43	14	fabrizio	fabrizio	PROPN
ejpam-6981	43	15	fractional	fractional	ADJ
ejpam-6981	43	16	derivative	derivative	ADJ
ejpam-6981	43	17	operator	operator	NOUN
ejpam-6981	43	18	.	.	PUNCT
ejpam-6981	44	1	additionally	additionally	ADV
ejpam-6981	44	2	,	,	PUNCT
ejpam-6981	44	3	we	we	PRON
ejpam-6981	44	4	have	have	AUX
ejpam-6981	44	5	verified	verify	VERB
ejpam-6981	44	6	the	the	DET
ejpam-6981	44	7	stability	stability	NOUN
ejpam-6981	44	8	conditions	condition	NOUN
ejpam-6981	44	9	for	for	ADP
ejpam-6981	44	10	steady	steady	ADJ
ejpam-6981	44	11	-	-	PUNCT
ejpam-6981	44	12	state	state	NOUN
ejpam-6981	44	13	solutions	solution	NOUN
ejpam-6981	44	14	and	and	CCONJ
ejpam-6981	44	15	established	establish	VERB
ejpam-6981	44	16	their	their	PRON
ejpam-6981	44	17	existence	existence	NOUN
ejpam-6981	44	18	using	use	VERB
ejpam-6981	44	19	banach	banach	NOUN
ejpam-6981	44	20	fixedpoint	fixedpoint	NOUN
ejpam-6981	44	21	theory[27	theory[27	NOUN
ejpam-6981	44	22	]	]	PUNCT
ejpam-6981	44	23	.	.	PUNCT
ejpam-6981	45	1	in	in	ADP
ejpam-6981	45	2	this	this	DET
ejpam-6981	45	3	paper	paper	NOUN
ejpam-6981	45	4	,	,	PUNCT
ejpam-6981	45	5	we	we	PRON
ejpam-6981	45	6	created	create	VERB
ejpam-6981	45	7	a	a	DET
ejpam-6981	45	8	model	model	NOUN
ejpam-6981	45	9	to	to	PART
ejpam-6981	45	10	study	study	VERB
ejpam-6981	45	11	how	how	SCONJ
ejpam-6981	45	12	the	the	DET
ejpam-6981	45	13	new	new	ADJ
ejpam-6981	45	14	coronavirus	coronavirus	NOUN
ejpam-6981	45	15	spreads	spread	VERB
ejpam-6981	45	16	.	.	PUNCT
ejpam-6981	46	1	this	this	DET
ejpam-6981	46	2	model	model	NOUN
ejpam-6981	46	3	helps	help	VERB
ejpam-6981	46	4	us	we	PRON
ejpam-6981	46	5	understand	understand	VERB
ejpam-6981	46	6	how	how	SCONJ
ejpam-6981	46	7	the	the	DET
ejpam-6981	46	8	disease	disease	NOUN
ejpam-6981	46	9	spreads	spread	VERB
ejpam-6981	46	10	over	over	ADP
ejpam-6981	46	11	time	time	NOUN
ejpam-6981	46	12	,	,	PUNCT
ejpam-6981	46	13	both	both	PRON
ejpam-6981	46	14	in	in	ADP
ejpam-6981	46	15	the	the	DET
ejpam-6981	46	16	short	short	ADJ
ejpam-6981	46	17	term	term	NOUN
ejpam-6981	46	18	and	and	CCONJ
ejpam-6981	46	19	long	long	ADJ
ejpam-6981	46	20	term[28	term[28	NOUN
ejpam-6981	46	21	]	]	PUNCT
ejpam-6981	46	22	.	.	PUNCT
ejpam-6981	47	1	a	a	DET
ejpam-6981	47	2	fractional	fractional	ADJ
ejpam-6981	47	3	-	-	PUNCT
ejpam-6981	47	4	order	order	NOUN
ejpam-6981	47	5	hepatitis	hepatitis	NOUN
ejpam-6981	47	6	b	b	PROPN
ejpam-6981	47	7	model	model	NOUN
ejpam-6981	47	8	with	with	ADP
ejpam-6981	47	9	vaccine	vaccine	NOUN
ejpam-6981	47	10	effects	effect	NOUN
ejpam-6981	47	11	is	be	AUX
ejpam-6981	47	12	analyzed	analyze	VERB
ejpam-6981	47	13	using	use	VERB
ejpam-6981	47	14	caputo	caputo	PROPN
ejpam-6981	47	15	derivatives	derivative	NOUN
ejpam-6981	47	16	,	,	PUNCT
ejpam-6981	47	17	simulations	simulation	NOUN
ejpam-6981	47	18	,	,	PUNCT
ejpam-6981	47	19	and	and	CCONJ
ejpam-6981	47	20	ann	ann	PROPN
ejpam-6981	47	21	to	to	PART
ejpam-6981	47	22	understand	understand	VERB
ejpam-6981	47	23	disease	disease	NOUN
ejpam-6981	47	24	dynamics	dynamic	NOUN
ejpam-6981	47	25	and	and	CCONJ
ejpam-6981	47	26	support	support	VERB
ejpam-6981	47	27	public	public	ADJ
ejpam-6981	47	28	health	health	NOUN
ejpam-6981	47	29	strategies[29	strategies[29	PROPN
ejpam-6981	47	30	]	]	PUNCT
ejpam-6981	47	31	.	.	PUNCT
ejpam-6981	48	1	this	this	DET
ejpam-6981	48	2	paper	paper	NOUN
ejpam-6981	48	3	presents	present	VERB
ejpam-6981	48	4	a	a	DET
ejpam-6981	48	5	fractional	fractional	ADJ
ejpam-6981	48	6	siqr	siqr	PROPN
ejpam-6981	48	7	model	model	NOUN
ejpam-6981	48	8	with	with	ADP
ejpam-6981	48	9	caputo	caputo	PROPN
ejpam-6981	48	10	–	–	PUNCT
ejpam-6981	48	11	fabrizio	fabrizio	PROPN
ejpam-6981	48	12	derivative	derivative	NOUN
ejpam-6981	48	13	,	,	PUNCT
ejpam-6981	48	14	proving	prove	VERB
ejpam-6981	48	15	key	key	ADJ
ejpam-6981	48	16	properties	property	NOUN
ejpam-6981	48	17	,	,	PUNCT
ejpam-6981	48	18	simulating	simulate	VERB
ejpam-6981	48	19	memory	memory	NOUN
ejpam-6981	48	20	effects	effect	NOUN
ejpam-6981	48	21	,	,	PUNCT
ejpam-6981	48	22	and	and	CCONJ
ejpam-6981	48	23	applying	apply	VERB
ejpam-6981	48	24	neural	neural	ADJ
ejpam-6981	48	25	networks	network	NOUN
ejpam-6981	48	26	for	for	ADP
ejpam-6981	48	27	analysis[30	analysis[30	NOUN
ejpam-6981	48	28	]	]	SYM
ejpam-6981	48	29	.	.	PUNCT
ejpam-6981	49	1	2	2	X
ejpam-6981	49	2	.	.	X
ejpam-6981	49	3	model	model	NOUN
ejpam-6981	49	4	information	information	NOUN
ejpam-6981	49	5	we	we	PRON
ejpam-6981	49	6	determine	determine	VERB
ejpam-6981	49	7	a	a	DET
ejpam-6981	49	8	susceptible	susceptible	ADJ
ejpam-6981	49	9	-	-	PUNCT
ejpam-6981	49	10	exposed	expose	VERB
ejpam-6981	49	11	-	-	PUNCT
ejpam-6981	49	12	infectious	infectious	ADJ
ejpam-6981	49	13	-	-	PUNCT
ejpam-6981	49	14	susceptible	susceptible	ADJ
ejpam-6981	49	15	(	(	PUNCT
ejpam-6981	49	16	seis	seis	PROPN
ejpam-6981	49	17	)	)	PUNCT
ejpam-6981	49	18	model	model	NOUN
ejpam-6981	49	19	of	of	ADP
ejpam-6981	49	20	ailment	ailment	NOUN
ejpam-6981	49	21	to	to	PART
ejpam-6981	49	22	place	place	VERB
ejpam-6981	49	23	the	the	DET
ejpam-6981	49	24	institutions	institution	NOUN
ejpam-6981	49	25	under	under	ADP
ejpam-6981	49	26	concern	concern	NOUN
ejpam-6981	49	27	and	and	CCONJ
ejpam-6981	49	28	teenagers	teenager	NOUN
ejpam-6981	49	29	under	under	ADP
ejpam-6981	49	30	age	age	NOUN
ejpam-6981	49	31	five	five	NUM
ejpam-6981	49	32	into	into	ADP
ejpam-6981	49	33	two	two	NUM
ejpam-6981	49	34	groups	group	NOUN
ejpam-6981	49	35	,	,	PUNCT
ejpam-6981	49	36	similarly	similarly	ADV
ejpam-6981	49	37	by	by	ADP
ejpam-6981	49	38	their	their	PRON
ejpam-6981	49	39	digestive	digestive	ADJ
ejpam-6981	49	40	rank	rank	NOUN
ejpam-6981	49	41	:	:	PUNCT
ejpam-6981	49	42	the	the	DET
ejpam-6981	49	43	first	first	ADJ
ejpam-6981	49	44	group	group	NOUN
ejpam-6981	49	45	is	be	AUX
ejpam-6981	49	46	those	those	PRON
ejpam-6981	49	47	the	the	DET
ejpam-6981	49	48	individuals	individual	NOUN
ejpam-6981	49	49	are	be	AUX
ejpam-6981	49	50	well	well	ADV
ejpam-6981	49	51	augmented	augment	VERB
ejpam-6981	49	52	,	,	PUNCT
ejpam-6981	49	53	named	name	VERB
ejpam-6981	49	54	for	for	ADP
ejpam-6981	49	55	individual	individual	ADJ
ejpam-6981	49	56	follow	follow	NOUN
ejpam-6981	49	57	-	-	PUNCT
ejpam-6981	49	58	up	up	NOUN
ejpam-6981	49	59	1	1	NUM
ejpam-6981	49	60	,	,	PUNCT
ejpam-6981	49	61	and	and	CCONJ
ejpam-6981	49	62	the	the	DET
ejpam-6981	49	63	second	second	ADJ
ejpam-6981	49	64	group	group	NOUN
ejpam-6981	49	65	is	be	AUX
ejpam-6981	49	66	composed	compose	VERB
ejpam-6981	49	67	of	of	ADP
ejpam-6981	49	68	those	those	PRON
ejpam-6981	49	69	the	the	DET
ejpam-6981	49	70	individuals	individual	NOUN
ejpam-6981	49	71	are	be	AUX
ejpam-6981	49	72	a.	a.	NOUN
ejpam-6981	49	73	shaikh	shaikh	PROPN
ejpam-6981	49	74	,	,	PUNCT
ejpam-6981	49	75	s.	s.	PROPN
ejpam-6981	49	76	howal	howal	PROPN
ejpam-6981	49	77	,	,	PUNCT
ejpam-6981	49	78	k.	k.	PROPN
ejpam-6981	49	79	s.	s.	PROPN
ejpam-6981	49	80	nisar	nisar	PROPN
ejpam-6981	49	81	/	/	SYM
ejpam-6981	49	82	eur	eur	PROPN
ejpam-6981	49	83	.	.	PUNCT
ejpam-6981	50	1	j.	j.	PROPN
ejpam-6981	50	2	pure	pure	PROPN
ejpam-6981	50	3	appl	appl	PROPN
ejpam-6981	50	4	.	.	PROPN
ejpam-6981	50	5	math	math	PROPN
ejpam-6981	50	6	,	,	PUNCT
ejpam-6981	50	7	18	18	NUM
ejpam-6981	50	8	(	(	PUNCT
ejpam-6981	50	9	4	4	NUM
ejpam-6981	50	10	)	)	PUNCT
ejpam-6981	50	11	(	(	PUNCT
ejpam-6981	50	12	2025	2025	NUM
ejpam-6981	50	13	)	)	PUNCT
ejpam-6981	50	14	,	,	PUNCT
ejpam-6981	50	15	6981	6981	NUM
ejpam-6981	50	16	3	3	NUM
ejpam-6981	50	17	thin	thin	ADJ
ejpam-6981	50	18	,	,	PUNCT
ejpam-6981	50	19	named	name	VERB
ejpam-6981	50	20	for	for	ADP
ejpam-6981	50	21	each	each	DET
ejpam-6981	50	22	follow	follow	NOUN
ejpam-6981	50	23	-	-	PUNCT
ejpam-6981	50	24	up	up	NOUN
ejpam-6981	50	25	2	2	NUM
ejpam-6981	50	26	.	.	PUNCT
ejpam-6981	51	1	the	the	DET
ejpam-6981	51	2	total	total	ADJ
ejpam-6981	51	3	babies	baby	NOUN
ejpam-6981	51	4	organization	organization	NOUN
ejpam-6981	51	5	is	be	AUX
ejpam-6981	51	6	conveyed	convey	VERB
ejpam-6981	51	7	by	by	ADP
ejpam-6981	51	8	n.	n.	PROPN
ejpam-6981	51	9	influx	influx	NOUN
ejpam-6981	51	10	into	into	ADP
ejpam-6981	51	11	the	the	DET
ejpam-6981	51	12	youthful	youthful	ADJ
ejpam-6981	51	13	category	category	NOUN
ejpam-6981	51	14	progresses	progress	VERB
ejpam-6981	51	15	at	at	ADP
ejpam-6981	51	16	the	the	DET
ejpam-6981	51	17	rate	rate	NOUN
ejpam-6981	51	18	η	η	PROPN
ejpam-6981	51	19	following	follow	VERB
ejpam-6981	51	20	a	a	DET
ejpam-6981	51	21	disposal	disposal	NOUN
ejpam-6981	52	1	p	p	NOUN
ejpam-6981	52	2	entering	enter	VERB
ejpam-6981	52	3	the	the	DET
ejpam-6981	52	4	well	well	ADV
ejpam-6981	52	5	augment	augment	NOUN
ejpam-6981	52	6	childlike	childlike	ADJ
ejpam-6981	52	7	u	u	NOUN
ejpam-6981	52	8	,	,	PUNCT
ejpam-6981	52	9	and	and	CCONJ
ejpam-6981	52	10	1	1	NUM
ejpam-6981	52	11	−	−	NOUN
ejpam-6981	52	12	p	p	NOUN
ejpam-6981	52	13	into	into	ADP
ejpam-6981	52	14	the	the	DET
ejpam-6981	52	15	thin	thin	ADJ
ejpam-6981	52	16	childlike	childlike	ADJ
ejpam-6981	52	17	v	v	NOUN
ejpam-6981	52	18	.	.	PUNCT
ejpam-6981	53	1	note	note	VERB
ejpam-6981	53	2	that	that	SCONJ
ejpam-6981	53	3	we	we	PRON
ejpam-6981	53	4	only	only	ADV
ejpam-6981	53	5	trust	trust	VERB
ejpam-6981	53	6	drafts	draft	NOUN
ejpam-6981	53	7	into	into	ADP
ejpam-6981	53	8	the	the	DET
ejpam-6981	53	9	unprotected	unprotected	ADJ
ejpam-6981	53	10	division	division	NOUN
ejpam-6981	53	11	.	.	PUNCT
ejpam-6981	54	1	a	a	DET
ejpam-6981	54	2	well	well	ADV
ejpam-6981	54	3	-	-	PUNCT
ejpam-6981	54	4	augmented	augment	VERB
ejpam-6981	54	5	childlike	childlike	ADJ
ejpam-6981	54	6	u	u	NOUN
ejpam-6981	54	7	because	because	SCONJ
ejpam-6981	54	8	a	a	DET
ejpam-6981	54	9	feeble	feeble	ADJ
ejpam-6981	54	10	diet	diet	NOUN
ejpam-6981	54	11	permits	permit	VERB
ejpam-6981	54	12	an	an	DET
ejpam-6981	54	13	action	action	NOUN
ejpam-6981	54	14	to	to	PART
ejpam-6981	54	15	reinforce	reinforce	VERB
ejpam-6981	54	16	a	a	DET
ejpam-6981	54	17	thin	thin	ADJ
ejpam-6981	54	18	,	,	PUNCT
ejpam-6981	54	19	unprotected	unprotected	ADJ
ejpam-6981	54	20	v	v	NOUN
ejpam-6981	54	21	at	at	ADP
ejpam-6981	54	22	a	a	DET
ejpam-6981	54	23	rate	rate	NOUN
ejpam-6981	54	24	ψ	ψ	NOUN
ejpam-6981	54	25	,	,	PUNCT
ejpam-6981	54	26	and	and	CCONJ
ejpam-6981	54	27	a	a	DET
ejpam-6981	54	28	thin	thin	ADJ
ejpam-6981	54	29	,	,	PUNCT
ejpam-6981	54	30	trusting	trust	VERB
ejpam-6981	54	31	following	follow	VERB
ejpam-6981	54	32	position	position	NOUN
ejpam-6981	54	33	/	/	SYM
ejpam-6981	54	34	correct	correct	ADJ
ejpam-6981	54	35	diet	diet	NOUN
ejpam-6981	54	36	acknowledges	acknowledge	VERB
ejpam-6981	54	37	feasibility	feasibility	NOUN
ejpam-6981	54	38	and	and	CCONJ
ejpam-6981	54	39	embellishes	embellish	VERB
ejpam-6981	54	40	a	a	DET
ejpam-6981	54	41	well	well	ADV
ejpam-6981	54	42	-	-	PUNCT
ejpam-6981	54	43	augmented	augment	VERB
ejpam-6981	54	44	trusting	trust	VERB
ejpam-6981	54	45	at	at	ADP
ejpam-6981	54	46	a	a	DET
ejpam-6981	54	47	measure	measure	NOUN
ejpam-6981	54	48	ϕ.	ϕ.	PROPN
ejpam-6981	54	49	commonly	commonly	ADV
ejpam-6981	54	50	,	,	PUNCT
ejpam-6981	54	51	a	a	DET
ejpam-6981	54	52	trusting	trust	VERB
ejpam-6981	54	53	individual	individual	NOUN
ejpam-6981	54	54	,	,	PUNCT
ejpam-6981	54	55	for	for	ADP
ejpam-6981	54	56	that	that	DET
ejpam-6981	54	57	reason	reason	NOUN
ejpam-6981	54	58	,	,	PUNCT
ejpam-6981	54	59	can	can	AUX
ejpam-6981	54	60	take	take	VERB
ejpam-6981	54	61	a	a	DET
ejpam-6981	54	62	wound	wound	NOUN
ejpam-6981	54	63	caused	cause	VERB
ejpam-6981	54	64	by	by	ADP
ejpam-6981	54	65	extending	extend	VERB
ejpam-6981	54	66	scourge	scourge	NOUN
ejpam-6981	54	67	with	with	ADP
ejpam-6981	54	68	nausea	nausea	NOUN
ejpam-6981	54	69	;	;	PUNCT
ejpam-6981	54	70	therefore	therefore	ADV
ejpam-6981	54	71	,	,	PUNCT
ejpam-6981	54	72	it	it	PRON
ejpam-6981	54	73	can	can	AUX
ejpam-6981	54	74	improve	improve	VERB
ejpam-6981	54	75	at	at	ADP
ejpam-6981	54	76	the	the	DET
ejpam-6981	54	77	rate	rate	NOUN
ejpam-6981	54	78	,	,	PUNCT
ejpam-6981	54	79	λ	λ	PROPN
ejpam-6981	54	80	,	,	PUNCT
ejpam-6981	54	81	or	or	CCONJ
ejpam-6981	54	82	fix	fix	NOUN
ejpam-6981	54	83	and	and	CCONJ
ejpam-6981	54	84	embellish	embellish	ADJ
ejpam-6981	54	85	unprotected	unprotected	ADJ
ejpam-6981	54	86	recurring	recurring	NOUN
ejpam-6981	54	87	at	at	ADP
ejpam-6981	54	88	a	a	DET
ejpam-6981	54	89	measure	measure	NOUN
ejpam-6981	54	90	α	α	NOUN
ejpam-6981	54	91	.	.	PUNCT
ejpam-6981	55	1	concerning	concern	VERB
ejpam-6981	55	2	the	the	DET
ejpam-6981	55	3	well	well	ADV
ejpam-6981	55	4	-	-	PUNCT
ejpam-6981	55	5	augmented	augment	VERB
ejpam-6981	55	6	epidemic	epidemic	NOUN
ejpam-6981	55	7	,	,	PUNCT
ejpam-6981	55	8	a	a	DET
ejpam-6981	55	9	percentage	percentage	NOUN
ejpam-6981	55	10	b	b	NOUN
ejpam-6981	55	11	that	that	PRON
ejpam-6981	55	12	restores	restore	VERB
ejpam-6981	55	13	holds	hold	NOUN
ejpam-6981	55	14	improves	improve	VERB
ejpam-6981	55	15	thin	thin	ADJ
ejpam-6981	55	16	,	,	PUNCT
ejpam-6981	55	17	unprotected	unprotected	ADJ
ejpam-6981	55	18	belongings	belonging	NOUN
ejpam-6981	55	19	;	;	PUNCT
ejpam-6981	55	20	thus	thus	ADV
ejpam-6981	55	21	,	,	PUNCT
ejpam-6981	55	22	b	b	X
ejpam-6981	55	23	=	=	SYM
ejpam-6981	55	24	1	1	NUM
ejpam-6981	55	25	−	−	PROPN
ejpam-6981	55	26	b	b	NOUN
ejpam-6981	55	27	improves	improve	VERB
ejpam-6981	55	28	well	well	ADV
ejpam-6981	55	29	-	-	PUNCT
ejpam-6981	55	30	augmented	augment	VERB
ejpam-6981	55	31	,	,	PUNCT
ejpam-6981	55	32	trusting	trust	VERB
ejpam-6981	55	33	belongings	belonging	NOUN
ejpam-6981	55	34	.	.	PUNCT
ejpam-6981	56	1	individuals	individual	NOUN
ejpam-6981	56	2	exit	exit	VERB
ejpam-6981	56	3	the	the	DET
ejpam-6981	56	4	infected	infected	ADJ
ejpam-6981	56	5	compartment	compartment	NOUN
ejpam-6981	56	6	by	by	ADP
ejpam-6981	56	7	recovery	recovery	NOUN
ejpam-6981	56	8	or	or	CCONJ
ejpam-6981	56	9	malaria	malaria	NOUN
ejpam-6981	56	10	-	-	PUNCT
ejpam-6981	56	11	induced	induce	VERB
ejpam-6981	56	12	death	death	NOUN
ejpam-6981	56	13	,	,	PUNCT
ejpam-6981	56	14	common	common	ADJ
ejpam-6981	56	15	obliteration	obliteration	NOUN
ejpam-6981	56	16	n	n	CCONJ
ejpam-6981	56	17	,	,	PUNCT
ejpam-6981	56	18	or	or	CCONJ
ejpam-6981	56	19	by	by	ADP
ejpam-6981	56	20	erasure	erasure	NOUN
ejpam-6981	56	21	from	from	ADP
ejpam-6981	56	22	the	the	DET
ejpam-6981	56	23	ailment	ailment	ADJ
ejpam-6981	56	24	e1	e1	NOUN
ejpam-6981	56	25	for	for	ADP
ejpam-6981	56	26	the	the	DET
ejpam-6981	56	27	class	class	NOUN
ejpam-6981	56	28	c1	c1	PROPN
ejpam-6981	56	29	and	and	CCONJ
ejpam-6981	56	30	e2	e2	PROPN
ejpam-6981	56	31	for	for	ADP
ejpam-6981	56	32	the	the	DET
ejpam-6981	56	33	class	class	NOUN
ejpam-6981	56	34	c2	c2	PROPN
ejpam-6981	56	35	.	.	PUNCT
ejpam-6981	57	1	the	the	DET
ejpam-6981	57	2	nausea	nausea	NOUN
ejpam-6981	57	3	broadcast	broadcast	NOUN
ejpam-6981	57	4	probabilities	probability	NOUN
ejpam-6981	57	5	per	per	ADP
ejpam-6981	57	6	pest	pest	NOUN
ejpam-6981	57	7	bite	bite	NOUN
ejpam-6981	57	8	on	on	ADP
ejpam-6981	57	9	u	u	NOUN
ejpam-6981	57	10	and	and	CCONJ
ejpam-6981	57	11	v	v	NOUN
ejpam-6981	57	12	are	be	AUX
ejpam-6981	57	13	likely	likely	ADJ
ejpam-6981	57	14	individually	individually	ADV
ejpam-6981	57	15	by	by	ADP
ejpam-6981	57	16	γ1	γ1	NOUN
ejpam-6981	57	17	and	and	CCONJ
ejpam-6981	57	18	γ2	γ2	NOUN
ejpam-6981	57	19	.	.	PUNCT
ejpam-6981	58	1	both	both	DET
ejpam-6981	58	2	trusting	trust	VERB
ejpam-6981	58	3	groups	group	NOUN
ejpam-6981	58	4	of	of	ADP
ejpam-6981	58	5	youth	youth	NOUN
ejpam-6981	58	6	are	be	AUX
ejpam-6981	58	7	defenseless	defenseless	ADJ
ejpam-6981	58	8	to	to	PART
ejpam-6981	58	9	sickness	sickness	VERB
ejpam-6981	58	10	and	and	CCONJ
ejpam-6981	58	11	move	move	VERB
ejpam-6981	58	12	separately	separately	ADV
ejpam-6981	58	13	to	to	ADP
ejpam-6981	58	14	the	the	DET
ejpam-6981	58	15	k1	k1	PROPN
ejpam-6981	58	16	or	or	CCONJ
ejpam-6981	58	17	k2	k2	ADJ
ejpam-6981	58	18	classes	class	NOUN
ejpam-6981	58	19	.	.	PUNCT
ejpam-6981	59	1	the	the	DET
ejpam-6981	59	2	strength	strength	NOUN
ejpam-6981	59	3	of	of	ADP
ejpam-6981	59	4	contamination	contamination	NOUN
ejpam-6981	59	5	,	,	PUNCT
ejpam-6981	59	6	or	or	CCONJ
ejpam-6981	59	7	the	the	DET
ejpam-6981	59	8	measure	measure	NOUN
ejpam-6981	59	9	at	at	ADP
ejpam-6981	59	10	which	which	PRON
ejpam-6981	59	11	naive	naive	ADJ
ejpam-6981	59	12	belongings	belonging	NOUN
ejpam-6981	59	13	get	get	VERB
ejpam-6981	59	14	ailment	ailment	ADJ
ejpam-6981	59	15	,	,	PUNCT
ejpam-6981	59	16	is	be	AUX
ejpam-6981	59	17	ρ1	ρ1	NOUN
ejpam-6981	59	18	,	,	PUNCT
ejpam-6981	59	19	ρ2	ρ2	NOUN
ejpam-6981	59	20	and	and	CCONJ
ejpam-6981	59	21	ρ3	ρ3	NOUN
ejpam-6981	59	22	for	for	ADP
ejpam-6981	59	23	the	the	DET
ejpam-6981	59	24	contagion	contagion	NOUN
ejpam-6981	59	25	-	-	PUNCT
ejpam-6981	59	26	heading	head	VERB
ejpam-6981	59	27	folk	folk	NOUN
ejpam-6981	59	28	.	.	PUNCT
ejpam-6981	60	1	the	the	DET
ejpam-6981	60	2	compartments	compartment	NOUN
ejpam-6981	60	3	include	include	VERB
ejpam-6981	60	4	susceptible	susceptible	ADJ
ejpam-6981	60	5	(	(	PUNCT
ejpam-6981	60	6	u	u	NOUN
ejpam-6981	60	7	)	)	PUNCT
ejpam-6981	60	8	individuals	individual	NOUN
ejpam-6981	60	9	who	who	PRON
ejpam-6981	60	10	are	be	AUX
ejpam-6981	60	11	at	at	ADP
ejpam-6981	60	12	risk	risk	NOUN
ejpam-6981	60	13	of	of	ADP
ejpam-6981	60	14	contracting	contracting	NOUN
ejpam-6981	60	15	malaria	malaria	NOUN
ejpam-6981	60	16	,	,	PUNCT
ejpam-6981	60	17	exposed	expose	VERB
ejpam-6981	60	18	(	(	PUNCT
ejpam-6981	60	19	e	e	NOUN
ejpam-6981	60	20	)	)	PUNCT
ejpam-6981	60	21	individuals	individual	NOUN
ejpam-6981	60	22	who	who	PRON
ejpam-6981	60	23	have	have	AUX
ejpam-6981	60	24	been	be	AUX
ejpam-6981	60	25	infected	infect	VERB
ejpam-6981	60	26	but	but	CCONJ
ejpam-6981	60	27	are	be	AUX
ejpam-6981	60	28	not	not	PART
ejpam-6981	60	29	yet	yet	ADV
ejpam-6981	60	30	infectious	infectious	ADJ
ejpam-6981	60	31	,	,	PUNCT
ejpam-6981	60	32	infected	infected	ADJ
ejpam-6981	60	33	(	(	PUNCT
ejpam-6981	60	34	i	i	NOUN
ejpam-6981	60	35	)	)	PUNCT
ejpam-6981	60	36	individuals	individual	NOUN
ejpam-6981	60	37	capable	capable	ADJ
ejpam-6981	60	38	of	of	ADP
ejpam-6981	60	39	transmitting	transmit	VERB
ejpam-6981	60	40	the	the	DET
ejpam-6981	60	41	disease	disease	NOUN
ejpam-6981	60	42	,	,	PUNCT
ejpam-6981	60	43	vaccinated	vaccinate	VERB
ejpam-6981	60	44	(	(	PUNCT
ejpam-6981	60	45	v	v	NOUN
ejpam-6981	60	46	)	)	PUNCT
ejpam-6981	60	47	individuals	individual	NOUN
ejpam-6981	60	48	with	with	ADP
ejpam-6981	60	49	partial	partial	ADJ
ejpam-6981	60	50	or	or	CCONJ
ejpam-6981	60	51	full	full	ADJ
ejpam-6981	60	52	immunity	immunity	NOUN
ejpam-6981	60	53	,	,	PUNCT
ejpam-6981	60	54	fully	fully	ADV
ejpam-6981	60	55	infected	infected	ADJ
ejpam-6981	60	56	or	or	CCONJ
ejpam-6981	60	57	febrile	febrile	NOUN
ejpam-6981	60	58	(	(	PUNCT
ejpam-6981	60	59	f	f	X
ejpam-6981	60	60	)	)	PUNCT
ejpam-6981	60	61	individuals	individual	NOUN
ejpam-6981	60	62	displaying	display	VERB
ejpam-6981	60	63	severe	severe	ADJ
ejpam-6981	60	64	symptoms	symptom	NOUN
ejpam-6981	60	65	,	,	PUNCT
ejpam-6981	60	66	and	and	CCONJ
ejpam-6981	60	67	quarantined	quarantine	VERB
ejpam-6981	60	68	(	(	PUNCT
ejpam-6981	60	69	q	q	NOUN
ejpam-6981	60	70	)	)	PUNCT
ejpam-6981	60	71	individuals	individual	NOUN
ejpam-6981	60	72	who	who	PRON
ejpam-6981	60	73	are	be	AUX
ejpam-6981	60	74	isolated	isolate	VERB
ejpam-6981	60	75	for	for	ADP
ejpam-6981	60	76	treatment	treatment	NOUN
ejpam-6981	60	77	or	or	CCONJ
ejpam-6981	60	78	control	control	NOUN
ejpam-6981	60	79	.	.	PUNCT
ejpam-6981	61	1	by	by	ADP
ejpam-6981	61	2	presenting	present	VERB
ejpam-6981	61	3	these	these	DET
ejpam-6981	61	4	compartments	compartment	NOUN
ejpam-6981	61	5	clearly	clearly	ADV
ejpam-6981	61	6	and	and	CCONJ
ejpam-6981	61	7	linking	link	VERB
ejpam-6981	61	8	them	they	PRON
ejpam-6981	61	9	directly	directly	ADV
ejpam-6981	61	10	to	to	ADP
ejpam-6981	61	11	the	the	DET
ejpam-6981	61	12	biological	biological	ADJ
ejpam-6981	61	13	processes	process	NOUN
ejpam-6981	61	14	they	they	PRON
ejpam-6981	61	15	represent	represent	VERB
ejpam-6981	61	16	,	,	PUNCT
ejpam-6981	61	17	readers	reader	NOUN
ejpam-6981	61	18	can	can	AUX
ejpam-6981	61	19	better	well	ADV
ejpam-6981	61	20	understand	understand	VERB
ejpam-6981	61	21	the	the	DET
ejpam-6981	61	22	dynamics	dynamic	NOUN
ejpam-6981	61	23	of	of	ADP
ejpam-6981	61	24	malaria	malaria	NOUN
ejpam-6981	61	25	transmission	transmission	NOUN
ejpam-6981	61	26	.	.	PUNCT
ejpam-6981	62	1	a.	a.	PROPN
ejpam-6981	62	2	shaikh	shaikh	PROPN
ejpam-6981	62	3	,	,	PUNCT
ejpam-6981	62	4	s.	s.	PROPN
ejpam-6981	62	5	howal	howal	PROPN
ejpam-6981	62	6	,	,	PUNCT
ejpam-6981	62	7	k.	k.	PROPN
ejpam-6981	62	8	s.	s.	PROPN
ejpam-6981	62	9	nisar	nisar	PROPN
ejpam-6981	62	10	/	/	SYM
ejpam-6981	62	11	eur	eur	PROPN
ejpam-6981	62	12	.	.	PUNCT
ejpam-6981	63	1	j.	j.	PROPN
ejpam-6981	63	2	pure	pure	PROPN
ejpam-6981	63	3	appl	appl	PROPN
ejpam-6981	63	4	.	.	PROPN
ejpam-6981	63	5	math	math	PROPN
ejpam-6981	63	6	,	,	PUNCT
ejpam-6981	63	7	18	18	NUM
ejpam-6981	63	8	(	(	PUNCT
ejpam-6981	63	9	4	4	NUM
ejpam-6981	63	10	)	)	PUNCT
ejpam-6981	63	11	(	(	PUNCT
ejpam-6981	63	12	2025	2025	NUM
ejpam-6981	63	13	)	)	PUNCT
ejpam-6981	63	14	,	,	PUNCT
ejpam-6981	63	15	6981	6981	NUM
ejpam-6981	63	16	4	4	NUM
ejpam-6981	63	17	u	u	NOUN
ejpam-6981	63	18	e	e	NOUN
ejpam-6981	63	19	i	i	PRON
ejpam-6981	63	20	v	v	VERB
ejpam-6981	63	21	f	f	X
ejpam-6981	63	22	q	q	PROPN
ejpam-6981	63	23	λ	λ	X
ejpam-6981	63	24	χ	χ	X
ejpam-6981	63	25	bξ	bξ	PROPN
ejpam-6981	63	26	θ	θ	PROPN
ejpam-6981	63	27	ϵ	ϵ	X
ejpam-6981	63	28	bξ	bξ	PROPN
ejpam-6981	63	29	µ	µ	X
ejpam-6981	63	30	ψϕ	ψϕ	NOUN
ejpam-6981	63	31	ϱ	ϱ	PROPN
ejpam-6981	63	32	ϱ+	ϱ+	X
ejpam-6981	63	33	∂	∂	NUM
ejpam-6981	63	34	ϱ+	ϱ+	PUNCT
ejpam-6981	63	35	κϱ	κϱ	ADV
ejpam-6981	63	36	ϱ	ϱ	ADP
ejpam-6981	63	37	qπ	qπ	ADP
ejpam-6981	63	38	ϱ	ϱ	PROPN
ejpam-6981	63	39	(	(	PUNCT
ejpam-6981	63	40	1−	1−	NUM
ejpam-6981	63	41	q)π	q)π	NOUN
ejpam-6981	63	42	from	from	ADP
ejpam-6981	63	43	the	the	DET
ejpam-6981	63	44	model	model	NOUN
ejpam-6981	63	45	flowcharts	flowchart	NOUN
ejpam-6981	63	46	of	of	ADP
ejpam-6981	63	47	the	the	DET
ejpam-6981	63	48	affliction	affliction	NOUN
ejpam-6981	63	49	broadcast	broadcast	NOUN
ejpam-6981	63	50	described	describe	VERB
ejpam-6981	63	51	in	in	ADP
ejpam-6981	63	52	the	the	DET
ejpam-6981	63	53	above	above	ADJ
ejpam-6981	63	54	figure	figure	NOUN
ejpam-6981	63	55	,	,	PUNCT
ejpam-6981	63	56	we	we	PRON
ejpam-6981	63	57	evolve	evolve	VERB
ejpam-6981	63	58	the	the	DET
ejpam-6981	63	59	following	follow	VERB
ejpam-6981	63	60	equations.	equations.	X
ejpam-6981	63	61	du	du	X
ejpam-6981	63	62	dt	dt	PROPN
ejpam-6981	63	63	=	=	PUNCT
ejpam-6981	63	64	qπ	qπ	PROPN
ejpam-6981	63	65	+	+	CCONJ
ejpam-6981	64	1	(	(	PUNCT
ejpam-6981	64	2	1−	1−	NUM
ejpam-6981	64	3	b)ξi	b)ξi	NOUN
ejpam-6981	64	4	+	+	CCONJ
ejpam-6981	64	5	ϕv	ϕv	ADV
ejpam-6981	64	6	−	−	PROPN
ejpam-6981	64	7	(	(	PUNCT
ejpam-6981	64	8	σ	σ	X
ejpam-6981	64	9	+	+	NOUN
ejpam-6981	64	10	ψ	ψ	X
ejpam-6981	64	11	+	+	CCONJ
ejpam-6981	64	12	ϱ)u	ϱ)u	VERB
ejpam-6981	64	13	de	de	X
ejpam-6981	64	14	dt	dt	NOUN
ejpam-6981	64	15	=	=	PUNCT
ejpam-6981	64	16	σu	σu	INTJ
ejpam-6981	64	17	−	−	PROPN
ejpam-6981	64	18	(	(	PUNCT
ejpam-6981	64	19	χ+	χ+	X
ejpam-6981	64	20	ϱ)e	ϱ)e	VERB
ejpam-6981	64	21	di	di	NOUN
ejpam-6981	64	22	dt	dt	NOUN
ejpam-6981	65	1	=	=	PUNCT
ejpam-6981	65	2	χe	χe	PROPN
ejpam-6981	65	3	−	−	PROPN
ejpam-6981	66	1	(	(	PUNCT
ejpam-6981	66	2	ξ	ξ	X
ejpam-6981	66	3	+	+	PUNCT
ejpam-6981	66	4	ϱ+	ϱ+	NOUN
ejpam-6981	66	5	∂)i	∂)i	PUNCT
ejpam-6981	66	6	dv	dv	PROPN
ejpam-6981	66	7	dt	dt	X
ejpam-6981	66	8	=	=	PUNCT
ejpam-6981	66	9	(	(	PUNCT
ejpam-6981	66	10	1−	1−	NUM
ejpam-6981	66	11	q)π	q)π	NOUN
ejpam-6981	66	12	+	+	CCONJ
ejpam-6981	66	13	µq+	µq+	ADJ
ejpam-6981	66	14	ψu	ψu	NOUN
ejpam-6981	66	15	+	+	NOUN
ejpam-6981	66	16	bξi	bξi	NOUN
ejpam-6981	66	17	−	−	PROPN
ejpam-6981	66	18	(	(	PUNCT
ejpam-6981	66	19	θ	θ	PROPN
ejpam-6981	66	20	+	+	PUNCT
ejpam-6981	66	21	ϕ+	ϕ+	CCONJ
ejpam-6981	66	22	ϱ)v	ϱ)v	NOUN
ejpam-6981	66	23	df	df	NOUN
ejpam-6981	66	24	dt	dt	NOUN
ejpam-6981	66	25	=	=	PUNCT
ejpam-6981	66	26	θv	θv	PROPN
ejpam-6981	66	27	−	−	PROPN
ejpam-6981	66	28	(	(	PUNCT
ejpam-6981	66	29	ε+	ε+	X
ejpam-6981	66	30	ϱ)f	ϱ)f	X
ejpam-6981	66	31	dq	dq	ADP
ejpam-6981	66	32	dt	dt	NOUN
ejpam-6981	66	33	=	=	SYM
ejpam-6981	66	34	ϵf	ϵf	PROPN
ejpam-6981	67	1	−	−	PROPN
ejpam-6981	67	2	(	(	PUNCT
ejpam-6981	67	3	µ+	µ+	X
ejpam-6981	67	4	ϱ+	ϱ+	PUNCT
ejpam-6981	67	5	κ)q	κ)q	X
ejpam-6981	67	6	motivated	motivate	VERB
ejpam-6981	67	7	by	by	ADP
ejpam-6981	67	8	the	the	DET
ejpam-6981	67	9	previously	previously	ADV
ejpam-6981	67	10	listed	list	VERB
ejpam-6981	67	11	works	work	NOUN
ejpam-6981	67	12	of	of	ADP
ejpam-6981	67	13	literature	literature	NOUN
ejpam-6981	67	14	,	,	PUNCT
ejpam-6981	67	15	the	the	DET
ejpam-6981	67	16	malaria	malaria	NOUN
ejpam-6981	67	17	fever	fever	NOUN
ejpam-6981	67	18	model	model	NOUN
ejpam-6981	67	19	proposed	propose	VERB
ejpam-6981	67	20	in	in	ADP
ejpam-6981	67	21	[	[	X
ejpam-6981	67	22	11	11	NUM
ejpam-6981	67	23	]	]	PUNCT
ejpam-6981	67	24	is	be	AUX
ejpam-6981	67	25	analyzed	analyze	VERB
ejpam-6981	67	26	using	use	VERB
ejpam-6981	67	27	the	the	DET
ejpam-6981	67	28	caputo	caputo	PROPN
ejpam-6981	67	29	-	-	PUNCT
ejpam-6981	67	30	fabrizio	fabrizio	PROPN
ejpam-6981	67	31	operator	operator	NOUN
ejpam-6981	67	32	of	of	ADP
ejpam-6981	67	33	order	order	NOUN
ejpam-6981	67	34	η	η	PROPN
ejpam-6981	67	35	where	where	SCONJ
ejpam-6981	67	36	η	η	PROPN
ejpam-6981	67	37	∈	∈	PROPN
ejpam-6981	67	38	(	(	PUNCT
ejpam-6981	67	39	0	0	NUM
ejpam-6981	67	40	,	,	PUNCT
ejpam-6981	67	41	1	1	NUM
ejpam-6981	67	42	)	)	PUNCT
ejpam-6981	67	43	.	.	PUNCT
ejpam-6981	68	1	a.	a.	PROPN
ejpam-6981	68	2	shaikh	shaikh	PROPN
ejpam-6981	68	3	,	,	PUNCT
ejpam-6981	68	4	s.	s.	PROPN
ejpam-6981	68	5	howal	howal	PROPN
ejpam-6981	68	6	,	,	PUNCT
ejpam-6981	68	7	k.	k.	PROPN
ejpam-6981	68	8	s.	s.	PROPN
ejpam-6981	68	9	nisar	nisar	PROPN
ejpam-6981	68	10	/	/	SYM
ejpam-6981	68	11	eur	eur	PROPN
ejpam-6981	68	12	.	.	PUNCT
ejpam-6981	69	1	j.	j.	PROPN
ejpam-6981	69	2	pure	pure	PROPN
ejpam-6981	69	3	appl	appl	PROPN
ejpam-6981	69	4	.	.	PROPN
ejpam-6981	69	5	math	math	PROPN
ejpam-6981	69	6	,	,	PUNCT
ejpam-6981	69	7	18	18	NUM
ejpam-6981	69	8	(	(	PUNCT
ejpam-6981	69	9	4	4	NUM
ejpam-6981	69	10	)	)	PUNCT
ejpam-6981	69	11	(	(	PUNCT
ejpam-6981	69	12	2025	2025	NUM
ejpam-6981	69	13	)	)	PUNCT
ejpam-6981	69	14	,	,	PUNCT
ejpam-6981	69	15	6981	6981	NUM
ejpam-6981	69	16	5	5	NUM
ejpam-6981	69	17			NUM
ejpam-6981	69	18	cfdη	cfdη	PROPN
ejpam-6981	69	19	t	t	PROPN
ejpam-6981	69	20	u(t	u(t	PROPN
ejpam-6981	69	21	)	)	PUNCT
ejpam-6981	69	22	=	=	PUNCT
ejpam-6981	70	1	qπ	qπ	NOUN
ejpam-6981	70	2	+	+	CCONJ
ejpam-6981	70	3	(	(	PUNCT
ejpam-6981	70	4	1−	1−	NUM
ejpam-6981	70	5	b)ξi	b)ξi	NOUN
ejpam-6981	70	6	+	+	CCONJ
ejpam-6981	70	7	ϕv	ϕv	ADV
ejpam-6981	70	8	−	−	PROPN
ejpam-6981	70	9	(	(	PUNCT
ejpam-6981	70	10	σ	σ	X
ejpam-6981	70	11	+	+	NOUN
ejpam-6981	70	12	ψ	ψ	X
ejpam-6981	70	13	+	+	CCONJ
ejpam-6981	70	14	ϱ)u	ϱ)u	ADJ
ejpam-6981	70	15	cfdη	cfdη	ADJ
ejpam-6981	70	16	te(t	te(t	NOUN
ejpam-6981	70	17	)	)	PUNCT
ejpam-6981	71	1	=	=	SYM
ejpam-6981	72	1	σu	σu	INTJ
ejpam-6981	72	2	−	−	PROPN
ejpam-6981	72	3	(	(	PUNCT
ejpam-6981	72	4	χ+	χ+	NUM
ejpam-6981	72	5	ϱ)e	ϱ)e	PUNCT
ejpam-6981	72	6	cfdη	cfdη	PROPN
ejpam-6981	72	7	t	t	PROPN
ejpam-6981	72	8	i(t	i(t	PROPN
ejpam-6981	72	9	)	)	PUNCT
ejpam-6981	73	1	=	=	PRON
ejpam-6981	73	2	χe	χe	NOUN
ejpam-6981	73	3	−	−	PROPN
ejpam-6981	74	1	(	(	PUNCT
ejpam-6981	74	2	ξ	ξ	X
ejpam-6981	74	3	+	+	PUNCT
ejpam-6981	74	4	ϱ+	ϱ+	NOUN
ejpam-6981	74	5	∂)i	∂)i	PROPN
ejpam-6981	74	6	cfdη	cfdη	PROPN
ejpam-6981	74	7	t	t	PROPN
ejpam-6981	74	8	v	v	PROPN
ejpam-6981	74	9	(	(	PUNCT
ejpam-6981	74	10	t	t	PROPN
ejpam-6981	74	11	)	)	PUNCT
ejpam-6981	74	12	=	=	PUNCT
ejpam-6981	74	13	(	(	PUNCT
ejpam-6981	74	14	1−	1−	NUM
ejpam-6981	74	15	q)π	q)π	NOUN
ejpam-6981	75	1	+	+	CCONJ
ejpam-6981	75	2	µq+	µq+	ADJ
ejpam-6981	75	3	ψu	ψu	NOUN
ejpam-6981	75	4	+	+	NOUN
ejpam-6981	75	5	bξi	bξi	NOUN
ejpam-6981	75	6	−	−	PROPN
ejpam-6981	75	7	(	(	PUNCT
ejpam-6981	75	8	θ	θ	PROPN
ejpam-6981	75	9	+	+	PUNCT
ejpam-6981	75	10	ϕ+	ϕ+	CCONJ
ejpam-6981	75	11	ϱ)v	ϱ)v	PROPN
ejpam-6981	75	12	cfdη	cfdη	PROPN
ejpam-6981	76	1	t	t	PROPN
ejpam-6981	76	2	f	f	PROPN
ejpam-6981	76	3	(	(	PUNCT
ejpam-6981	76	4	t	t	PROPN
ejpam-6981	76	5	)	)	PUNCT
ejpam-6981	76	6	=	=	PRON
ejpam-6981	77	1	θv	θv	PROPN
ejpam-6981	77	2	−	−	X
ejpam-6981	77	3	(	(	PUNCT
ejpam-6981	77	4	ε+	ε+	X
ejpam-6981	77	5	ϱ)f	ϱ)f	X
ejpam-6981	77	6	cfdη	cfdη	ADJ
ejpam-6981	77	7	tq(t	tq(t	X
ejpam-6981	77	8	)	)	PUNCT
ejpam-6981	77	9	=	=	SYM
ejpam-6981	78	1	ϵf	ϵf	PROPN
ejpam-6981	79	1	−	−	PROPN
ejpam-6981	79	2	(	(	PUNCT
ejpam-6981	79	3	µ+	µ+	X
ejpam-6981	79	4	ϱ+	ϱ+	X
ejpam-6981	79	5	κ)q	κ)q	X
ejpam-6981	79	6	(	(	PUNCT
ejpam-6981	79	7	2.1	2.1	NUM
ejpam-6981	79	8	)	)	PUNCT
ejpam-6981	79	9	with	with	ADP
ejpam-6981	79	10	initial	initial	ADJ
ejpam-6981	79	11	conditions	condition	NOUN
ejpam-6981	79	12	u(0	u(0	NOUN
ejpam-6981	79	13	)	)	PUNCT
ejpam-6981	79	14	≥	≥	NOUN
ejpam-6981	79	15	0	0	NUM
ejpam-6981	79	16	,	,	PUNCT
ejpam-6981	79	17	e(0	e(0	NOUN
ejpam-6981	79	18	)	)	PUNCT
ejpam-6981	79	19	≥	≥	NOUN
ejpam-6981	79	20	0	0	NUM
ejpam-6981	79	21	,	,	PUNCT
ejpam-6981	79	22	i(0	i(0	PROPN
ejpam-6981	79	23	)	)	PUNCT
ejpam-6981	79	24	≥	≥	NOUN
ejpam-6981	79	25	0	0	NUM
ejpam-6981	79	26	,	,	PUNCT
ejpam-6981	79	27	v	v	NOUN
ejpam-6981	79	28	(	(	PUNCT
ejpam-6981	79	29	0	0	NUM
ejpam-6981	79	30	)	)	PUNCT
ejpam-6981	79	31	≥	≥	NOUN
ejpam-6981	79	32	0	0	NUM
ejpam-6981	79	33	,	,	PUNCT
ejpam-6981	79	34	f	f	PROPN
ejpam-6981	79	35	(	(	PUNCT
ejpam-6981	79	36	0	0	NUM
ejpam-6981	79	37	)	)	PUNCT
ejpam-6981	79	38	≥	≥	NOUN
ejpam-6981	79	39	0	0	NUM
ejpam-6981	79	40	,	,	PUNCT
ejpam-6981	79	41	q(0	q(0	PROPN
ejpam-6981	79	42	)	)	PUNCT
ejpam-6981	79	43	≥	≥	NOUN
ejpam-6981	79	44	0	0	NUM
ejpam-6981	79	45	.	.	PUNCT
ejpam-6981	80	1	(	(	PUNCT
ejpam-6981	80	2	2.2	2.2	NUM
ejpam-6981	80	3	)	)	PUNCT
ejpam-6981	80	4	the	the	DET
ejpam-6981	80	5	classic	classic	ADJ
ejpam-6981	80	6	model	model	NOUN
ejpam-6981	80	7	given	give	VERB
ejpam-6981	80	8	in	in	ADP
ejpam-6981	80	9	[	[	NOUN
ejpam-6981	80	10	11	11	NUM
ejpam-6981	80	11	]	]	PUNCT
ejpam-6981	80	12	is	be	AUX
ejpam-6981	80	13	accomplished	accomplish	VERB
ejpam-6981	80	14	for	for	ADP
ejpam-6981	80	15	η	η	PROPN
ejpam-6981	80	16	=	=	PROPN
ejpam-6981	80	17	1	1	NUM
ejpam-6981	80	18	.	.	PUNCT
ejpam-6981	81	1	given	give	VERB
ejpam-6981	81	2	that	that	SCONJ
ejpam-6981	81	3	the	the	DET
ejpam-6981	81	4	caputofabrizio	caputofabrizio	NOUN
ejpam-6981	81	5	fractional	fractional	PROPN
ejpam-6981	81	6	derivative	derivative	NOUN
ejpam-6981	81	7	accurately	accurately	ADV
ejpam-6981	81	8	illustrates	illustrate	VERB
ejpam-6981	81	9	the	the	DET
ejpam-6981	81	10	previously	previously	ADV
ejpam-6981	81	11	discussed	discuss	VERB
ejpam-6981	81	12	occurrences	occurrence	NOUN
ejpam-6981	81	13	.	.	PUNCT
ejpam-6981	82	1	the	the	DET
ejpam-6981	82	2	quantitative	quantitative	ADJ
ejpam-6981	82	3	findings	finding	NOUN
ejpam-6981	82	4	are	be	AUX
ejpam-6981	82	5	obtained	obtain	VERB
ejpam-6981	82	6	repeatedly	repeatedly	ADV
ejpam-6981	82	7	using	use	VERB
ejpam-6981	82	8	the	the	DET
ejpam-6981	82	9	laplace	laplace	NOUN
ejpam-6981	82	10	transform	transform	NOUN
ejpam-6981	82	11	approach	approach	NOUN
ejpam-6981	82	12	.	.	PUNCT
ejpam-6981	83	1	to	to	PART
ejpam-6981	83	2	validate	validate	VERB
ejpam-6981	83	3	our	our	PRON
ejpam-6981	83	4	results	result	NOUN
ejpam-6981	83	5	,	,	PUNCT
ejpam-6981	83	6	we	we	PRON
ejpam-6981	83	7	assign	assign	VERB
ejpam-6981	83	8	random	random	ADJ
ejpam-6981	83	9	values	value	NOUN
ejpam-6981	83	10	to	to	ADP
ejpam-6981	83	11	the	the	DET
ejpam-6981	83	12	parameters	parameter	NOUN
ejpam-6981	83	13	and	and	CCONJ
ejpam-6981	83	14	initial	initial	ADJ
ejpam-6981	83	15	conditions	condition	NOUN
ejpam-6981	83	16	.	.	PUNCT
ejpam-6981	84	1	the	the	DET
ejpam-6981	84	2	remainder	remainder	NOUN
ejpam-6981	84	3	of	of	ADP
ejpam-6981	84	4	the	the	DET
ejpam-6981	84	5	paper	paper	NOUN
ejpam-6981	84	6	is	be	AUX
ejpam-6981	84	7	organized	organize	VERB
ejpam-6981	84	8	as	as	SCONJ
ejpam-6981	84	9	follows	follow	VERB
ejpam-6981	84	10	:	:	PUNCT
ejpam-6981	84	11	section	section	NOUN
ejpam-6981	84	12	3	3	NUM
ejpam-6981	84	13	provides	provide	VERB
ejpam-6981	84	14	some	some	DET
ejpam-6981	84	15	definitions	definition	NOUN
ejpam-6981	84	16	and	and	CCONJ
ejpam-6981	84	17	preliminary	preliminary	ADJ
ejpam-6981	84	18	information	information	NOUN
ejpam-6981	84	19	on	on	ADP
ejpam-6981	84	20	fractional	fractional	ADJ
ejpam-6981	84	21	calculus	calculus	NOUN
ejpam-6981	84	22	.	.	PUNCT
ejpam-6981	85	1	the	the	DET
ejpam-6981	85	2	existence	existence	NOUN
ejpam-6981	85	3	and	and	CCONJ
ejpam-6981	85	4	uniqueness	uniqueness	NOUN
ejpam-6981	85	5	of	of	ADP
ejpam-6981	85	6	the	the	DET
ejpam-6981	85	7	model	model	NOUN
ejpam-6981	85	8	’s	’s	PART
ejpam-6981	85	9	solution	solution	NOUN
ejpam-6981	85	10	with	with	ADP
ejpam-6981	85	11	the	the	DET
ejpam-6981	85	12	method	method	NOUN
ejpam-6981	85	13	and	and	CCONJ
ejpam-6981	85	14	operator	operator	NOUN
ejpam-6981	85	15	under	under	ADP
ejpam-6981	85	16	consideration	consideration	NOUN
ejpam-6981	85	17	are	be	AUX
ejpam-6981	85	18	covered	cover	VERB
ejpam-6981	85	19	in	in	ADP
ejpam-6981	85	20	section	section	NOUN
ejpam-6981	85	21	4	4	NUM
ejpam-6981	85	22	.	.	PUNCT
ejpam-6981	85	23	section	section	NOUN
ejpam-6981	85	24	5	5	NUM
ejpam-6981	85	25	presents	present	VERB
ejpam-6981	85	26	the	the	DET
ejpam-6981	85	27	stability	stability	NOUN
ejpam-6981	85	28	of	of	ADP
ejpam-6981	85	29	the	the	DET
ejpam-6981	85	30	approximated	approximate	VERB
ejpam-6981	85	31	solution	solution	NOUN
ejpam-6981	85	32	.	.	PUNCT
ejpam-6981	86	1	the	the	DET
ejpam-6981	86	2	solution	solution	NOUN
ejpam-6981	86	3	’s	’s	PART
ejpam-6981	86	4	graphical	graphical	ADJ
ejpam-6981	86	5	representation	representation	NOUN
ejpam-6981	86	6	is	be	AUX
ejpam-6981	86	7	related	relate	VERB
ejpam-6981	86	8	to	to	ADP
ejpam-6981	86	9	section	section	NOUN
ejpam-6981	86	10	6	6	NUM
ejpam-6981	86	11	.	.	PUNCT
ejpam-6981	87	1	in	in	ADP
ejpam-6981	87	2	section	section	NOUN
ejpam-6981	87	3	7	7	NUM
ejpam-6981	87	4	,	,	PUNCT
ejpam-6981	87	5	numerical	numerical	ADJ
ejpam-6981	87	6	results	result	NOUN
ejpam-6981	87	7	are	be	AUX
ejpam-6981	87	8	discussed	discuss	VERB
ejpam-6981	87	9	.	.	PUNCT
ejpam-6981	88	1	finally	finally	ADV
ejpam-6981	88	2	,	,	PUNCT
ejpam-6981	88	3	section	section	NOUN
ejpam-6981	88	4	8	8	NUM
ejpam-6981	88	5	provides	provide	VERB
ejpam-6981	88	6	a	a	DET
ejpam-6981	88	7	summary	summary	NOUN
ejpam-6981	88	8	of	of	ADP
ejpam-6981	88	9	the	the	DET
ejpam-6981	88	10	study	study	NOUN
ejpam-6981	88	11	’s	’s	PART
ejpam-6981	88	12	main	main	ADJ
ejpam-6981	88	13	findings	finding	NOUN
ejpam-6981	88	14	and	and	CCONJ
ejpam-6981	88	15	observations	observation	NOUN
ejpam-6981	88	16	.	.	PUNCT
ejpam-6981	89	1	3	3	X
ejpam-6981	89	2	.	.	X
ejpam-6981	89	3	preliminaries	preliminary	NOUN
ejpam-6981	89	4	definition	definition	NOUN
ejpam-6981	89	5	1	1	NUM
ejpam-6981	89	6	.	.	PUNCT
ejpam-6981	90	1	(	(	PUNCT
ejpam-6981	90	2	[	[	X
ejpam-6981	90	3	27	27	NUM
ejpam-6981	90	4	]	]	PUNCT
ejpam-6981	90	5	)	)	PUNCT
ejpam-6981	90	6	let	let	VERB
ejpam-6981	90	7	u	u	PRON
ejpam-6981	90	8	∈	∈	PROPN
ejpam-6981	90	9	h1(0	h1(0	PROPN
ejpam-6981	90	10	,	,	PUNCT
ejpam-6981	90	11	d	d	NOUN
ejpam-6981	90	12	)	)	PUNCT
ejpam-6981	90	13	,	,	PUNCT
ejpam-6981	91	1	d	d	X
ejpam-6981	91	2	>	>	X
ejpam-6981	91	3	0	0	NUM
ejpam-6981	91	4	,	,	PUNCT
ejpam-6981	91	5	0	0	NUM
ejpam-6981	91	6	<	<	X
ejpam-6981	91	7	η	η	X
ejpam-6981	91	8	<	<	X
ejpam-6981	91	9	1	1	NUM
ejpam-6981	91	10	,	,	PUNCT
ejpam-6981	91	11	then	then	ADV
ejpam-6981	91	12	time	time	NOUN
ejpam-6981	91	13	-	-	PUNCT
ejpam-6981	91	14	fractional	fractional	ADJ
ejpam-6981	91	15	caputofabrizio	caputofabrizio	NOUN
ejpam-6981	91	16	differential	differential	NOUN
ejpam-6981	91	17	operator	operator	NOUN
ejpam-6981	91	18	the	the	DET
ejpam-6981	91	19	time	time	NOUN
ejpam-6981	91	20	fractional	fractional	PROPN
ejpam-6981	91	21	caputo	caputo	PROPN
ejpam-6981	91	22	–	–	PUNCT
ejpam-6981	91	23	fabrizio	fabrizio	PROPN
ejpam-6981	91	24	fractional	fractional	ADJ
ejpam-6981	91	25	differential	differential	NOUN
ejpam-6981	91	26	operator	operator	NOUN
ejpam-6981	91	27	(	(	PUNCT
ejpam-6981	91	28	c	c	NOUN
ejpam-6981	91	29	-	-	PUNCT
ejpam-6981	91	30	ffdo	ffdo	NOUN
ejpam-6981	91	31	)	)	PUNCT
ejpam-6981	91	32	is	be	AUX
ejpam-6981	91	33	expressed	express	VERB
ejpam-6981	91	34	as	as	ADP
ejpam-6981	91	35	cfdη	cfdη	PROPN
ejpam-6981	91	36	t	t	PROPN
ejpam-6981	91	37	u(t	u(t	PROPN
ejpam-6981	91	38	)	)	PUNCT
ejpam-6981	91	39	=	=	PUNCT
ejpam-6981	91	40	n(η	n(η	NOUN
ejpam-6981	91	41	)	)	PUNCT
ejpam-6981	91	42	(	(	PUNCT
ejpam-6981	91	43	1−	1−	NUM
ejpam-6981	91	44	η	η	NOUN
ejpam-6981	91	45	)	)	PUNCT
ejpam-6981	91	46	∫	∫	PROPN
ejpam-6981	91	47	t	t	PROPN
ejpam-6981	91	48	0	0	NUM
ejpam-6981	91	49	exp	exp	NOUN
ejpam-6981	91	50	[	[	PUNCT
ejpam-6981	91	51	−	−	PROPN
ejpam-6981	91	52	η(t−	η(t−	PROPN
ejpam-6981	91	53	s	s	NOUN
ejpam-6981	91	54	)	)	PUNCT
ejpam-6981	91	55	1−	1−	NUM
ejpam-6981	91	56	η	η	X
ejpam-6981	91	57	]	]	PUNCT
ejpam-6981	91	58	u′(s)ds	u′(s)ds	PROPN
ejpam-6981	91	59	,	,	PUNCT
ejpam-6981	91	60	t	t	PROPN
ejpam-6981	91	61	≥	≥	NUM
ejpam-6981	91	62	0	0	NUM
ejpam-6981	91	63	,	,	PUNCT
ejpam-6981	91	64	0	0	NUM
ejpam-6981	91	65	<	<	X
ejpam-6981	91	66	η	η	X
ejpam-6981	91	67	<	<	X
ejpam-6981	91	68	1	1	NUM
ejpam-6981	91	69	,	,	PUNCT
ejpam-6981	91	70	(	(	PUNCT
ejpam-6981	91	71	3.1	3.1	NUM
ejpam-6981	91	72	)	)	PUNCT
ejpam-6981	91	73	where	where	SCONJ
ejpam-6981	91	74	n(η	n(η	NOUN
ejpam-6981	91	75	)	)	PUNCT
ejpam-6981	91	76	is	be	AUX
ejpam-6981	91	77	a	a	DET
ejpam-6981	91	78	normalization	normalization	NOUN
ejpam-6981	91	79	function	function	NOUN
ejpam-6981	91	80	dependent	dependent	ADJ
ejpam-6981	91	81	on	on	ADP
ejpam-6981	91	82	η	η	PROPN
ejpam-6981	91	83	,	,	PUNCT
ejpam-6981	91	84	ensuring	ensure	VERB
ejpam-6981	91	85	that	that	SCONJ
ejpam-6981	91	86	n(0	n(0	PROPN
ejpam-6981	91	87	)	)	PUNCT
ejpam-6981	91	88	=	=	SYM
ejpam-6981	91	89	n(1	n(1	NOUN
ejpam-6981	91	90	)	)	PUNCT
ejpam-6981	92	1	=	=	SYM
ejpam-6981	92	2	1	1	X
ejpam-6981	92	3	.	.	X
ejpam-6981	92	4	definition	definition	NOUN
ejpam-6981	92	5	2	2	NUM
ejpam-6981	92	6	.	.	PUNCT
ejpam-6981	93	1	(	(	PUNCT
ejpam-6981	93	2	[	[	X
ejpam-6981	93	3	27	27	NUM
ejpam-6981	93	4	]	]	PUNCT
ejpam-6981	93	5	)	)	PUNCT
ejpam-6981	94	1	the	the	DET
ejpam-6981	94	2	caputo	caputo	PROPN
ejpam-6981	94	3	-	-	PUNCT
ejpam-6981	94	4	fabrizio	fabrizio	PROPN
ejpam-6981	94	5	integral	integral	ADJ
ejpam-6981	94	6	operator	operator	NOUN
ejpam-6981	94	7	of	of	ADP
ejpam-6981	94	8	fractional	fractional	ADJ
ejpam-6981	94	9	order	order	NOUN
ejpam-6981	94	10	0	0	PUNCT
ejpam-6981	94	11	<	<	X
ejpam-6981	94	12	η	η	X
ejpam-6981	94	13	<	<	X
ejpam-6981	94	14	1	1	NUM
ejpam-6981	94	15	is	be	AUX
ejpam-6981	94	16	given	give	VERB
ejpam-6981	94	17	by	by	ADP
ejpam-6981	94	18	cfjη	cfjη	PROPN
ejpam-6981	94	19	t	t	PROPN
ejpam-6981	94	20	u(t	u(t	PROPN
ejpam-6981	94	21	)	)	PUNCT
ejpam-6981	94	22	=	=	PUNCT
ejpam-6981	95	1	2(1−	2(1−	NUM
ejpam-6981	95	2	η	η	NOUN
ejpam-6981	95	3	)	)	PUNCT
ejpam-6981	95	4	(	(	PUNCT
ejpam-6981	95	5	2−	2−	NUM
ejpam-6981	95	6	η)n(η	η)n(η	ADV
ejpam-6981	95	7	)	)	PUNCT
ejpam-6981	95	8	u(t	u(t	NOUN
ejpam-6981	95	9	)	)	PUNCT
ejpam-6981	96	1	+	+	NUM
ejpam-6981	96	2	2η	2η	NUM
ejpam-6981	96	3	(	(	PUNCT
ejpam-6981	96	4	2−	2−	NUM
ejpam-6981	96	5	η)n(η	η)n(η	ADV
ejpam-6981	96	6	)	)	PUNCT
ejpam-6981	97	1	∫	∫	PROPN
ejpam-6981	97	2	t	t	PROPN
ejpam-6981	97	3	0	0	NUM
ejpam-6981	97	4	u(ℵ)dℵ	u(ℵ)dℵ	PROPN
ejpam-6981	97	5	,	,	PUNCT
ejpam-6981	97	6	(	(	PUNCT
ejpam-6981	97	7	3.2	3.2	NUM
ejpam-6981	97	8	)	)	PUNCT
ejpam-6981	97	9	like	like	ADP
ejpam-6981	97	10	the	the	DET
ejpam-6981	97	11	traditional	traditional	ADJ
ejpam-6981	97	12	caputo	caputo	PROPN
ejpam-6981	97	13	derivative	derivative	NOUN
ejpam-6981	97	14	,	,	PUNCT
ejpam-6981	97	15	this	this	DET
ejpam-6981	97	16	new	new	ADJ
ejpam-6981	97	17	operator	operator	NOUN
ejpam-6981	97	18	offers	offer	VERB
ejpam-6981	97	19	cfdη	cfdη	PROPN
ejpam-6981	97	20	t	t	PROPN
ejpam-6981	97	21	u(t	u(t	PROPN
ejpam-6981	97	22	)	)	PUNCT
ejpam-6981	97	23	=	=	SYM
ejpam-6981	97	24	0	0	NUM
ejpam-6981	97	25	,	,	PUNCT
ejpam-6981	97	26	provided	provide	VERB
ejpam-6981	97	27	that	that	SCONJ
ejpam-6981	97	28	u	u	NOUN
ejpam-6981	97	29	does	do	AUX
ejpam-6981	97	30	not	not	PART
ejpam-6981	97	31	change	change	VERB
ejpam-6981	97	32	.	.	PUNCT
ejpam-6981	98	1	the	the	DET
ejpam-6981	98	2	key	key	ADJ
ejpam-6981	98	3	advantage	advantage	NOUN
ejpam-6981	98	4	of	of	ADP
ejpam-6981	98	5	the	the	DET
ejpam-6981	98	6	caputo	caputo	PROPN
ejpam-6981	98	7	-	-	PUNCT
ejpam-6981	98	8	fabrizio	fabrizio	PROPN
ejpam-6981	98	9	operator	operator	NOUN
ejpam-6981	98	10	applied	apply	VERB
ejpam-6981	98	11	to	to	ADP
ejpam-6981	98	12	the	the	DET
ejpam-6981	98	13	traditional	traditional	ADJ
ejpam-6981	98	14	caputo	caputo	NOUN
ejpam-6981	98	15	operator	operator	NOUN
ejpam-6981	98	16	is	be	AUX
ejpam-6981	98	17	that	that	SCONJ
ejpam-6981	98	18	the	the	DET
ejpam-6981	98	19	updated	update	VERB
ejpam-6981	98	20	kernel	kernel	NOUN
ejpam-6981	98	21	avoids	avoid	VERB
ejpam-6981	98	22	singularity	singularity	NOUN
ejpam-6981	98	23	at	at	ADP
ejpam-6981	98	24	t	t	PROPN
ejpam-6981	99	1	=	=	PUNCT
ejpam-6981	99	2	s.	s.	PROPN
ejpam-6981	99	3	a.	a.	PROPN
ejpam-6981	99	4	shaikh	shaikh	PROPN
ejpam-6981	99	5	,	,	PUNCT
ejpam-6981	99	6	s.	s.	PROPN
ejpam-6981	99	7	howal	howal	PROPN
ejpam-6981	99	8	,	,	PUNCT
ejpam-6981	99	9	k.	k.	PROPN
ejpam-6981	99	10	s.	s.	PROPN
ejpam-6981	99	11	nisar	nisar	PROPN
ejpam-6981	99	12	/	/	SYM
ejpam-6981	99	13	eur	eur	PROPN
ejpam-6981	99	14	.	.	PUNCT
ejpam-6981	100	1	j.	j.	PROPN
ejpam-6981	100	2	pure	pure	PROPN
ejpam-6981	100	3	appl	appl	PROPN
ejpam-6981	100	4	.	.	PROPN
ejpam-6981	100	5	math	math	PROPN
ejpam-6981	100	6	,	,	PUNCT
ejpam-6981	100	7	18	18	NUM
ejpam-6981	100	8	(	(	PUNCT
ejpam-6981	100	9	4	4	NUM
ejpam-6981	100	10	)	)	PUNCT
ejpam-6981	100	11	(	(	PUNCT
ejpam-6981	100	12	2025	2025	NUM
ejpam-6981	100	13	)	)	PUNCT
ejpam-6981	100	14	,	,	PUNCT
ejpam-6981	100	15	6981	6981	NUM
ejpam-6981	100	16	6	6	NUM
ejpam-6981	100	17	definition	definition	NOUN
ejpam-6981	100	18	3	3	NUM
ejpam-6981	100	19	.	.	PUNCT
ejpam-6981	101	1	(	(	PUNCT
ejpam-6981	101	2	[	[	X
ejpam-6981	101	3	27	27	NUM
ejpam-6981	101	4	]	]	PUNCT
ejpam-6981	101	5	)	)	PUNCT
ejpam-6981	101	6	the	the	DET
ejpam-6981	101	7	laplace	laplace	NOUN
ejpam-6981	101	8	transformation	transformation	NOUN
ejpam-6981	101	9	of	of	ADP
ejpam-6981	101	10	the	the	DET
ejpam-6981	101	11	caputo	caputo	PROPN
ejpam-6981	101	12	-	-	PUNCT
ejpam-6981	101	13	fabrizio	fabrizio	PROPN
ejpam-6981	101	14	fractional	fractional	ADJ
ejpam-6981	101	15	operator	operator	NOUN
ejpam-6981	101	16	of	of	ADP
ejpam-6981	101	17	order	order	NOUN
ejpam-6981	101	18	0	0	PUNCT
ejpam-6981	101	19	<	<	X
ejpam-6981	101	20	η	η	PROPN
ejpam-6981	101	21	≤	≤	PROPN
ejpam-6981	101	22	1	1	NUM
ejpam-6981	101	23	and	and	CCONJ
ejpam-6981	101	24	m	m	PROPN
ejpam-6981	101	25	∈	∈	NOUN
ejpam-6981	101	26	n	n	NOUN
ejpam-6981	101	27	is	be	AUX
ejpam-6981	101	28	given	give	VERB
ejpam-6981	101	29	by	by	ADP
ejpam-6981	101	30	l	l	PROPN
ejpam-6981	101	31	(	(	PUNCT
ejpam-6981	101	32	cf	cf	NOUN
ejpam-6981	101	33	dm+η	dm+η	PROPN
ejpam-6981	101	34	t	t	PROPN
ejpam-6981	101	35	u(t	u(t	PROPN
ejpam-6981	101	36	)	)	PUNCT
ejpam-6981	101	37	)	)	PUNCT
ejpam-6981	102	1	(	(	PUNCT
ejpam-6981	102	2	s	s	X
ejpam-6981	102	3	)	)	PUNCT
ejpam-6981	102	4	=	=	SYM
ejpam-6981	102	5	1	1	NUM
ejpam-6981	102	6	1−	1−	NUM
ejpam-6981	102	7	η	η	PROPN
ejpam-6981	102	8	l(u(m+1)(t))l	l(u(m+1)(t))l	X
ejpam-6981	102	9	(	(	PUNCT
ejpam-6981	102	10	exp	exp	NOUN
ejpam-6981	102	11	(	(	PUNCT
ejpam-6981	102	12	−	−	PROPN
ejpam-6981	102	13	η	η	PROPN
ejpam-6981	102	14	1−	1−	PROPN
ejpam-6981	102	15	η	η	PROPN
ejpam-6981	102	16	t	t	PROPN
ejpam-6981	102	17	)	)	PUNCT
ejpam-6981	102	18	)	)	PUNCT
ejpam-6981	103	1	=	=	SYM
ejpam-6981	103	2	sm+1l(u(t))−	sm+1l(u(t))−	PROPN
ejpam-6981	103	3	smu(0)−	smu(0)−	PROPN
ejpam-6981	103	4	sm−1u′(0)−	sm−1u′(0)−	PROPN
ejpam-6981	103	5	·	·	PUNCT
ejpam-6981	103	6	·	·	PUNCT
ejpam-6981	103	7	·	·	PUNCT
ejpam-6981	104	1	−	−	PROPN
ejpam-6981	104	2	u(m)(0	u(m)(0	NUM
ejpam-6981	104	3	)	)	PUNCT
ejpam-6981	104	4	s+	s+	PUNCT
ejpam-6981	104	5	η(1−	η(1−	PROPN
ejpam-6981	104	6	s	s	PART
ejpam-6981	104	7	)	)	PUNCT
ejpam-6981	104	8	.	.	PUNCT
ejpam-6981	105	1	(	(	PUNCT
ejpam-6981	105	2	3.3	3.3	NUM
ejpam-6981	105	3	)	)	PUNCT
ejpam-6981	105	4	specifically	specifically	ADV
ejpam-6981	105	5	,	,	PUNCT
ejpam-6981	105	6	we	we	PRON
ejpam-6981	105	7	have	have	VERB
ejpam-6981	105	8	l	l	NOUN
ejpam-6981	105	9	(	(	PUNCT
ejpam-6981	105	10	cf	cf	NOUN
ejpam-6981	105	11	dη	dη	NOUN
ejpam-6981	105	12	t	t	NOUN
ejpam-6981	105	13	u(t	u(t	PROPN
ejpam-6981	105	14	)	)	PUNCT
ejpam-6981	105	15	)	)	PUNCT
ejpam-6981	106	1	(	(	PUNCT
ejpam-6981	106	2	s	s	X
ejpam-6981	106	3	)	)	PUNCT
ejpam-6981	106	4	=	=	PUNCT
ejpam-6981	107	1	sl(u(t))−	sl(u(t))−	PROPN
ejpam-6981	107	2	u(0	u(0	NOUN
ejpam-6981	107	3	)	)	PUNCT
ejpam-6981	107	4	s+	s+	PUNCT
ejpam-6981	108	1	η(1−	η(1−	PROPN
ejpam-6981	108	2	s	s	PART
ejpam-6981	108	3	)	)	PUNCT
ejpam-6981	108	4	,	,	PUNCT
ejpam-6981	108	5	m	m	VERB
ejpam-6981	108	6	=	=	NOUN
ejpam-6981	108	7	0	0	NUM
ejpam-6981	108	8	.	.	PUNCT
ejpam-6981	109	1	l	l	NOUN
ejpam-6981	109	2	(	(	PUNCT
ejpam-6981	109	3	cf	cf	INTJ
ejpam-6981	109	4	dη+1	dη+1	PROPN
ejpam-6981	109	5	t	t	PROPN
ejpam-6981	109	6	u(t	u(t	PROPN
ejpam-6981	109	7	)	)	PUNCT
ejpam-6981	109	8	)	)	PUNCT
ejpam-6981	110	1	(	(	PUNCT
ejpam-6981	110	2	s	s	X
ejpam-6981	110	3	)	)	PUNCT
ejpam-6981	110	4	=	=	PUNCT
ejpam-6981	110	5	s2l(u(t))−	s2l(u(t))−	ADP
ejpam-6981	110	6	su(0)−	su(0)−	PROPN
ejpam-6981	110	7	u′(0	u′(0	NOUN
ejpam-6981	110	8	)	)	PUNCT
ejpam-6981	110	9	s+	s+	PUNCT
ejpam-6981	110	10	η(1−	η(1−	PROPN
ejpam-6981	110	11	s	s	PART
ejpam-6981	110	12	)	)	PUNCT
ejpam-6981	110	13	,	,	PUNCT
ejpam-6981	110	14	m	m	VERB
ejpam-6981	110	15	=	=	NOUN
ejpam-6981	110	16	1	1	NUM
ejpam-6981	110	17	.	.	NOUN
ejpam-6981	110	18	4	4	NUM
ejpam-6981	110	19	.	.	NOUN
ejpam-6981	110	20	existence	existence	NOUN
ejpam-6981	110	21	and	and	CCONJ
ejpam-6981	110	22	uniqueness	uniqueness	NOUN
ejpam-6981	110	23	in	in	ADP
ejpam-6981	110	24	this	this	DET
ejpam-6981	110	25	section	section	NOUN
ejpam-6981	110	26	,	,	PUNCT
ejpam-6981	110	27	we	we	PRON
ejpam-6981	110	28	examine	examine	VERB
ejpam-6981	110	29	the	the	DET
ejpam-6981	110	30	existence	existence	NOUN
ejpam-6981	110	31	and	and	CCONJ
ejpam-6981	110	32	uniqueness	uniqueness	NOUN
ejpam-6981	110	33	of	of	ADP
ejpam-6981	110	34	the	the	DET
ejpam-6981	110	35	solution	solution	NOUN
ejpam-6981	110	36	for	for	ADP
ejpam-6981	110	37	the	the	DET
ejpam-6981	110	38	system	system	NOUN
ejpam-6981	110	39	(	(	PUNCT
ejpam-6981	110	40	2.1	2.1	NUM
ejpam-6981	110	41	)	)	PUNCT
ejpam-6981	110	42	using	use	VERB
ejpam-6981	110	43	the	the	DET
ejpam-6981	110	44	fixed	fix	VERB
ejpam-6981	110	45	-	-	PUNCT
ejpam-6981	110	46	point	point	NOUN
ejpam-6981	110	47	theory	theory	NOUN
ejpam-6981	110	48	.	.	PUNCT
ejpam-6981	111	1	considering	consider	VERB
ejpam-6981	111	2	equation	equation	NOUN
ejpam-6981	111	3	(	(	PUNCT
ejpam-6981	111	4	3.2	3.2	NUM
ejpam-6981	111	5	)	)	PUNCT
ejpam-6981	111	6	,	,	PUNCT
ejpam-6981	111	7	we	we	PRON
ejpam-6981	111	8	get	get	VERB
ejpam-6981	111	9	u(t	u(t	NOUN
ejpam-6981	111	10	)	)	PUNCT
ejpam-6981	112	1	=	=	SYM
ejpam-6981	112	2	u(0	u(0	NOUN
ejpam-6981	112	3	)	)	PUNCT
ejpam-6981	113	1	+	+	CCONJ
ejpam-6981	113	2	2(1−	2(1−	NUM
ejpam-6981	113	3	η	η	NOUN
ejpam-6981	113	4	)	)	PUNCT
ejpam-6981	113	5	2ηn(η	2ηn(η	NUM
ejpam-6981	113	6	)	)	PUNCT
ejpam-6981	114	1	(	(	PUNCT
ejpam-6981	114	2	qπ	qπ	NOUN
ejpam-6981	114	3	+	+	CCONJ
ejpam-6981	114	4	bξi(t	bξi(t	PROPN
ejpam-6981	114	5	)	)	PUNCT
ejpam-6981	115	1	+	+	CCONJ
ejpam-6981	115	2	ϕv	ϕv	PROPN
ejpam-6981	115	3	(	(	PUNCT
ejpam-6981	115	4	t)−	t)−	PROPN
ejpam-6981	115	5	(	(	PUNCT
ejpam-6981	115	6	σ	σ	PROPN
ejpam-6981	115	7	+	+	NOUN
ejpam-6981	115	8	ψ	ψ	X
ejpam-6981	115	9	+	+	CCONJ
ejpam-6981	115	10	ϱ)u(t	ϱ)u(t	ADJ
ejpam-6981	115	11	)	)	PUNCT
ejpam-6981	115	12	)	)	PUNCT
ejpam-6981	116	1	+	+	CCONJ
ejpam-6981	116	2	2(1−	2(1−	NUM
ejpam-6981	116	3	η	η	NOUN
ejpam-6981	116	4	)	)	PUNCT
ejpam-6981	116	5	(	(	PUNCT
ejpam-6981	116	6	2−	2−	NUM
ejpam-6981	116	7	η)n(η	η)n(η	ADV
ejpam-6981	116	8	)	)	PUNCT
ejpam-6981	116	9	∫	∫	PROPN
ejpam-6981	117	1	t	t	PROPN
ejpam-6981	117	2	0	0	NUM
ejpam-6981	118	1	(	(	PUNCT
ejpam-6981	118	2	qπ	qπ	NOUN
ejpam-6981	118	3	+	+	CCONJ
ejpam-6981	118	4	bξi(ℵ	bξi(ℵ	PROPN
ejpam-6981	118	5	)	)	PUNCT
ejpam-6981	119	1	+	+	CCONJ
ejpam-6981	119	2	ϕv	ϕv	PROPN
ejpam-6981	119	3	(	(	PUNCT
ejpam-6981	119	4	ℵ)−	ℵ)−	PROPN
ejpam-6981	119	5	(	(	PUNCT
ejpam-6981	119	6	σ	σ	PROPN
ejpam-6981	119	7	+	+	NOUN
ejpam-6981	119	8	ψ	ψ	X
ejpam-6981	119	9	+	+	CCONJ
ejpam-6981	119	10	ϱ)u(ℵ))dℵ	ϱ)u(ℵ))dℵ	NUM
ejpam-6981	119	11	e(t	e(t	NOUN
ejpam-6981	119	12	)	)	PUNCT
ejpam-6981	120	1	=	=	SYM
ejpam-6981	120	2	e(0	e(0	NOUN
ejpam-6981	120	3	)	)	PUNCT
ejpam-6981	121	1	+	+	CCONJ
ejpam-6981	121	2	2(1−	2(1−	NUM
ejpam-6981	121	3	η	η	NOUN
ejpam-6981	121	4	)	)	PUNCT
ejpam-6981	121	5	(	(	PUNCT
ejpam-6981	121	6	2η)n(η	2η)n(η	NOUN
ejpam-6981	121	7	)	)	PUNCT
ejpam-6981	121	8	(	(	PUNCT
ejpam-6981	121	9	σu(t)−	σu(t)−	PROPN
ejpam-6981	121	10	(	(	PUNCT
ejpam-6981	121	11	χ+	χ+	NOUN
ejpam-6981	121	12	ϱ)e(t	ϱ)e(t	NOUN
ejpam-6981	121	13	)	)	PUNCT
ejpam-6981	121	14	)	)	PUNCT
ejpam-6981	122	1	+	+	CCONJ
ejpam-6981	122	2	2(1−	2(1−	NUM
ejpam-6981	122	3	η	η	NOUN
ejpam-6981	122	4	)	)	PUNCT
ejpam-6981	122	5	(	(	PUNCT
ejpam-6981	122	6	2−	2−	NUM
ejpam-6981	122	7	η)n(η	η)n(η	ADV
ejpam-6981	122	8	)	)	PUNCT
ejpam-6981	122	9	∫	∫	PROPN
ejpam-6981	123	1	t	t	PROPN
ejpam-6981	123	2	0	0	NUM
ejpam-6981	123	3	(	(	PUNCT
ejpam-6981	123	4	σu(ℵ)−	σu(ℵ)−	PROPN
ejpam-6981	123	5	(	(	PUNCT
ejpam-6981	123	6	χ+	χ+	PROPN
ejpam-6981	123	7	ϱ)e(ℵ))dℵ	ϱ)e(ℵ))dℵ	PROPN
ejpam-6981	123	8	i(t	i(t	PROPN
ejpam-6981	123	9	)	)	PUNCT
ejpam-6981	124	1	=	=	SYM
ejpam-6981	124	2	i(0	i(0	PROPN
ejpam-6981	124	3	)	)	PUNCT
ejpam-6981	125	1	+	+	CCONJ
ejpam-6981	125	2	2(1−	2(1−	NUM
ejpam-6981	125	3	η	η	NOUN
ejpam-6981	125	4	)	)	PUNCT
ejpam-6981	125	5	(	(	PUNCT
ejpam-6981	125	6	2η)n(η	2η)n(η	NOUN
ejpam-6981	125	7	)	)	PUNCT
ejpam-6981	125	8	(	(	PUNCT
ejpam-6981	125	9	χe(t)−	χe(t)−	PROPN
ejpam-6981	125	10	(	(	PUNCT
ejpam-6981	125	11	ξ	ξ	X
ejpam-6981	125	12	+	+	PUNCT
ejpam-6981	125	13	ϱ+	ϱ+	NOUN
ejpam-6981	125	14	∂)i(t	∂)i(t	NOUN
ejpam-6981	125	15	)	)	PUNCT
ejpam-6981	125	16	)	)	PUNCT
ejpam-6981	126	1	+	+	CCONJ
ejpam-6981	126	2	2(1−	2(1−	NUM
ejpam-6981	126	3	η	η	NOUN
ejpam-6981	126	4	)	)	PUNCT
ejpam-6981	126	5	(	(	PUNCT
ejpam-6981	126	6	2−	2−	NUM
ejpam-6981	126	7	η)n(η	η)n(η	ADV
ejpam-6981	126	8	)	)	PUNCT
ejpam-6981	126	9	∫	∫	PROPN
ejpam-6981	127	1	t	t	PROPN
ejpam-6981	127	2	0	0	NUM
ejpam-6981	127	3	(	(	PUNCT
ejpam-6981	127	4	χe(ℵ)−	χe(ℵ)−	X
ejpam-6981	127	5	(	(	PUNCT
ejpam-6981	127	6	ξ	ξ	X
ejpam-6981	127	7	+	+	PUNCT
ejpam-6981	127	8	ϱ+	ϱ+	PUNCT
ejpam-6981	127	9	∂)i(ℵ))dℵ	∂)i(ℵ))dℵ	PROPN
ejpam-6981	127	10	v	v	X
ejpam-6981	127	11	(	(	PUNCT
ejpam-6981	127	12	t	t	PROPN
ejpam-6981	127	13	)	)	PUNCT
ejpam-6981	127	14	=	=	NOUN
ejpam-6981	127	15	v	v	X
ejpam-6981	127	16	(	(	PUNCT
ejpam-6981	127	17	0	0	NUM
ejpam-6981	127	18	)	)	PUNCT
ejpam-6981	127	19	+	+	CCONJ
ejpam-6981	127	20	2(1−	2(1−	NUM
ejpam-6981	127	21	η	η	NOUN
ejpam-6981	127	22	)	)	PUNCT
ejpam-6981	127	23	2ηn(η	2ηn(η	NUM
ejpam-6981	127	24	)	)	PUNCT
ejpam-6981	127	25	(	(	PUNCT
ejpam-6981	127	26	(	(	PUNCT
ejpam-6981	127	27	1−	1−	NUM
ejpam-6981	127	28	q)π	q)π	X
ejpam-6981	127	29	+	+	CCONJ
ejpam-6981	127	30	µq(t	µq(t	NUM
ejpam-6981	127	31	)	)	PUNCT
ejpam-6981	127	32	+	+	NUM
ejpam-6981	127	33	ψu(t	ψu(t	X
ejpam-6981	127	34	)	)	PUNCT
ejpam-6981	128	1	+	+	CCONJ
ejpam-6981	128	2	bξi(t)−	bξi(t)−	PROPN
ejpam-6981	128	3	(	(	PUNCT
ejpam-6981	128	4	θ	θ	PROPN
ejpam-6981	128	5	+	+	PUNCT
ejpam-6981	128	6	ϕ+	ϕ+	CCONJ
ejpam-6981	128	7	ϱ)v	ϱ)v	NOUN
ejpam-6981	128	8	(	(	PUNCT
ejpam-6981	128	9	t	t	NOUN
ejpam-6981	128	10	)	)	PUNCT
ejpam-6981	128	11	)	)	PUNCT
ejpam-6981	129	1	+	+	CCONJ
ejpam-6981	129	2	2(1−	2(1−	NUM
ejpam-6981	129	3	η	η	NOUN
ejpam-6981	129	4	)	)	PUNCT
ejpam-6981	129	5	(	(	PUNCT
ejpam-6981	129	6	2−	2−	NUM
ejpam-6981	129	7	η)n(η	η)n(η	ADV
ejpam-6981	129	8	)	)	PUNCT
ejpam-6981	129	9	∫	∫	PROPN
ejpam-6981	130	1	t	t	PROPN
ejpam-6981	130	2	0	0	NUM
ejpam-6981	130	3	(	(	PUNCT
ejpam-6981	130	4	(	(	PUNCT
ejpam-6981	130	5	1−	1−	NUM
ejpam-6981	130	6	q)π	q)π	X
ejpam-6981	130	7	+	+	NUM
ejpam-6981	130	8	µq(ℵ	µq(ℵ	NOUN
ejpam-6981	130	9	)	)	PUNCT
ejpam-6981	130	10	+	+	NUM
ejpam-6981	130	11	ψu(ℵ	ψu(ℵ	NOUN
ejpam-6981	130	12	)	)	PUNCT
ejpam-6981	131	1	+	+	CCONJ
ejpam-6981	131	2	bξi(ℵ)−	bξi(ℵ)−	X
ejpam-6981	131	3	(	(	PUNCT
ejpam-6981	131	4	θ	θ	PROPN
ejpam-6981	131	5	+	+	PUNCT
ejpam-6981	131	6	ϕ+	ϕ+	CCONJ
ejpam-6981	131	7	ϱ)v	ϱ)v	NOUN
ejpam-6981	131	8	(	(	PUNCT
ejpam-6981	131	9	ℵ))dℵ	ℵ))dℵ	NOUN
ejpam-6981	131	10	f	f	X
ejpam-6981	131	11	(	(	PUNCT
ejpam-6981	131	12	t	t	PROPN
ejpam-6981	131	13	)	)	PUNCT
ejpam-6981	131	14	=	=	SYM
ejpam-6981	131	15	f	f	PROPN
ejpam-6981	131	16	(	(	PUNCT
ejpam-6981	131	17	0	0	NUM
ejpam-6981	131	18	)	)	PUNCT
ejpam-6981	131	19	+	+	CCONJ
ejpam-6981	131	20	2(1−	2(1−	NUM
ejpam-6981	131	21	η	η	NOUN
ejpam-6981	131	22	)	)	PUNCT
ejpam-6981	131	23	(	(	PUNCT
ejpam-6981	131	24	2η)n(η	2η)n(η	NOUN
ejpam-6981	131	25	)	)	PUNCT
ejpam-6981	131	26	(	(	PUNCT
ejpam-6981	131	27	θv	θv	PROPN
ejpam-6981	131	28	(	(	PUNCT
ejpam-6981	131	29	t)−	t)−	PROPN
ejpam-6981	131	30	(	(	PUNCT
ejpam-6981	131	31	µ+	µ+	X
ejpam-6981	131	32	n)f	n)f	NOUN
ejpam-6981	131	33	(	(	PUNCT
ejpam-6981	131	34	t	t	NOUN
ejpam-6981	131	35	)	)	PUNCT
ejpam-6981	131	36	)	)	PUNCT
ejpam-6981	132	1	+	+	CCONJ
ejpam-6981	132	2	2(1−	2(1−	NUM
ejpam-6981	132	3	η	η	NOUN
ejpam-6981	132	4	)	)	PUNCT
ejpam-6981	132	5	(	(	PUNCT
ejpam-6981	132	6	2−	2−	NUM
ejpam-6981	132	7	η)n(η	η)n(η	ADV
ejpam-6981	132	8	)	)	PUNCT
ejpam-6981	132	9	∫	∫	PROPN
ejpam-6981	133	1	t	t	PROPN
ejpam-6981	133	2	0	0	NUM
ejpam-6981	133	3	(	(	PUNCT
ejpam-6981	133	4	θv	θv	PROPN
ejpam-6981	133	5	(	(	PUNCT
ejpam-6981	133	6	ℵ)−	ℵ)−	PROPN
ejpam-6981	133	7	(	(	PUNCT
ejpam-6981	133	8	µ+	µ+	X
ejpam-6981	133	9	ϱ)f	ϱ)f	X
ejpam-6981	133	10	(	(	PUNCT
ejpam-6981	133	11	ℵ))dℵ	ℵ))dℵ	NOUN
ejpam-6981	133	12	q(t	q(t	NOUN
ejpam-6981	133	13	)	)	PUNCT
ejpam-6981	133	14	=	=	SYM
ejpam-6981	133	15	q(0	q(0	PROPN
ejpam-6981	133	16	)	)	PUNCT
ejpam-6981	134	1	+	+	CCONJ
ejpam-6981	134	2	2(1−	2(1−	NUM
ejpam-6981	134	3	η	η	NOUN
ejpam-6981	134	4	)	)	PUNCT
ejpam-6981	134	5	(	(	PUNCT
ejpam-6981	134	6	2η)n(η	2η)n(η	NOUN
ejpam-6981	134	7	)	)	PUNCT
ejpam-6981	134	8	(	(	PUNCT
ejpam-6981	134	9	ϵf	ϵf	PROPN
ejpam-6981	134	10	(	(	PUNCT
ejpam-6981	134	11	t)−	t)−	PROPN
ejpam-6981	134	12	(	(	PUNCT
ejpam-6981	134	13	µ+	µ+	X
ejpam-6981	134	14	ϱ+	ϱ+	PUNCT
ejpam-6981	134	15	κ)q(t	κ)q(t	NUM
ejpam-6981	134	16	)	)	PUNCT
ejpam-6981	134	17	)	)	PUNCT
ejpam-6981	135	1	+	+	CCONJ
ejpam-6981	135	2	2(1−	2(1−	NUM
ejpam-6981	135	3	η	η	NOUN
ejpam-6981	135	4	)	)	PUNCT
ejpam-6981	135	5	(	(	PUNCT
ejpam-6981	135	6	2−	2−	NUM
ejpam-6981	135	7	η)n(η	η)n(η	ADV
ejpam-6981	135	8	)	)	PUNCT
ejpam-6981	135	9	∫	∫	PROPN
ejpam-6981	136	1	t	t	PROPN
ejpam-6981	136	2	0	0	NUM
ejpam-6981	136	3	(	(	PUNCT
ejpam-6981	136	4	ϵf	ϵf	PROPN
ejpam-6981	136	5	(	(	PUNCT
ejpam-6981	136	6	ℵ)−	ℵ)−	PROPN
ejpam-6981	136	7	(	(	PUNCT
ejpam-6981	136	8	µ+	µ+	X
ejpam-6981	136	9	ϱ+	ϱ+	PUNCT
ejpam-6981	136	10	κ)q(ℵ))dℵ	κ)q(ℵ))dℵ	PROPN
ejpam-6981	136	11	a.	a.	NOUN
ejpam-6981	136	12	shaikh	shaikh	PROPN
ejpam-6981	136	13	,	,	PUNCT
ejpam-6981	136	14	s.	s.	PROPN
ejpam-6981	136	15	howal	howal	PROPN
ejpam-6981	136	16	,	,	PUNCT
ejpam-6981	136	17	k.	k.	PROPN
ejpam-6981	136	18	s.	s.	PROPN
ejpam-6981	136	19	nisar	nisar	PROPN
ejpam-6981	136	20	/	/	SYM
ejpam-6981	136	21	eur	eur	PROPN
ejpam-6981	136	22	.	.	PUNCT
ejpam-6981	137	1	j.	j.	PROPN
ejpam-6981	137	2	pure	pure	PROPN
ejpam-6981	137	3	appl	appl	PROPN
ejpam-6981	137	4	.	.	PROPN
ejpam-6981	137	5	math	math	PROPN
ejpam-6981	137	6	,	,	PUNCT
ejpam-6981	137	7	18	18	NUM
ejpam-6981	137	8	(	(	PUNCT
ejpam-6981	137	9	4	4	NUM
ejpam-6981	137	10	)	)	PUNCT
ejpam-6981	137	11	(	(	PUNCT
ejpam-6981	137	12	2025	2025	NUM
ejpam-6981	137	13	)	)	PUNCT
ejpam-6981	137	14	,	,	PUNCT
ejpam-6981	137	15	6981	6981	NUM
ejpam-6981	137	16	7	7	NUM
ejpam-6981	137	17	let	let	VERB
ejpam-6981	137	18	’s	’s	NOUN
ejpam-6981	137	19	now	now	ADV
ejpam-6981	137	20	examine	examine	VERB
ejpam-6981	137	21	the	the	DET
ejpam-6981	137	22	subsequent	subsequent	ADJ
ejpam-6981	137	23	kernels	kernel	NOUN
ejpam-6981	137	24	:	:	PUNCT
ejpam-6981	137	25	ψ1(t	ψ1(t	ADJ
ejpam-6981	137	26	,	,	PUNCT
ejpam-6981	137	27	u(t	u(t	NOUN
ejpam-6981	137	28	)	)	PUNCT
ejpam-6981	137	29	)	)	PUNCT
ejpam-6981	138	1	=	=	PUNCT
ejpam-6981	138	2	qπ	qπ	NOUN
ejpam-6981	138	3	+	+	NUM
ejpam-6981	138	4	bξi	bξi	NOUN
ejpam-6981	138	5	+	+	CCONJ
ejpam-6981	138	6	ϕv	ϕv	PROPN
ejpam-6981	138	7	(	(	PUNCT
ejpam-6981	138	8	t)−	t)−	PROPN
ejpam-6981	138	9	(	(	PUNCT
ejpam-6981	138	10	σ	σ	PROPN
ejpam-6981	138	11	+	+	NOUN
ejpam-6981	138	12	ψ	ψ	X
ejpam-6981	138	13	+	+	CCONJ
ejpam-6981	138	14	ϱ)u(t	ϱ)u(t	NOUN
ejpam-6981	138	15	)	)	PUNCT
ejpam-6981	138	16	ψ2(t	ψ2(t	PROPN
ejpam-6981	138	17	,	,	PUNCT
ejpam-6981	138	18	e(t	e(t	NOUN
ejpam-6981	138	19	)	)	PUNCT
ejpam-6981	138	20	)	)	PUNCT
ejpam-6981	139	1	=	=	SYM
ejpam-6981	139	2	σu(t)−	σu(t)−	PROPN
ejpam-6981	139	3	(	(	PUNCT
ejpam-6981	139	4	χ+	χ+	NOUN
ejpam-6981	139	5	ϱ)e(t	ϱ)e(t	NOUN
ejpam-6981	139	6	)	)	PUNCT
ejpam-6981	139	7	ψ3(t	ψ3(t	NOUN
ejpam-6981	139	8	,	,	PUNCT
ejpam-6981	139	9	i(t	i(t	NOUN
ejpam-6981	139	10	)	)	PUNCT
ejpam-6981	139	11	)	)	PUNCT
ejpam-6981	140	1	=	=	SYM
ejpam-6981	140	2	χe(t)−	χe(t)−	PROPN
ejpam-6981	140	3	(	(	PUNCT
ejpam-6981	140	4	ξ	ξ	X
ejpam-6981	140	5	+	+	PUNCT
ejpam-6981	140	6	ϱ+	ϱ+	NOUN
ejpam-6981	140	7	∂)i(t	∂)i(t	NOUN
ejpam-6981	140	8	)	)	PUNCT
ejpam-6981	140	9	(	(	PUNCT
ejpam-6981	140	10	4.1	4.1	NUM
ejpam-6981	140	11	)	)	PUNCT
ejpam-6981	140	12	ψ4(t	ψ4(t	PROPN
ejpam-6981	140	13	,	,	PUNCT
ejpam-6981	140	14	v	v	NOUN
ejpam-6981	140	15	(	(	PUNCT
ejpam-6981	140	16	t	t	NOUN
ejpam-6981	140	17	)	)	PUNCT
ejpam-6981	140	18	)	)	PUNCT
ejpam-6981	140	19	=	=	PUNCT
ejpam-6981	140	20	(	(	PUNCT
ejpam-6981	140	21	1−	1−	NUM
ejpam-6981	140	22	q)π	q)π	X
ejpam-6981	140	23	+	+	CCONJ
ejpam-6981	140	24	µq(t	µq(t	NUM
ejpam-6981	140	25	)	)	PUNCT
ejpam-6981	140	26	+	+	NUM
ejpam-6981	140	27	ψu(t	ψu(t	X
ejpam-6981	140	28	)	)	PUNCT
ejpam-6981	141	1	+	+	CCONJ
ejpam-6981	141	2	bξi(t)−	bξi(t)−	PROPN
ejpam-6981	141	3	(	(	PUNCT
ejpam-6981	141	4	θ	θ	PROPN
ejpam-6981	141	5	+	+	PUNCT
ejpam-6981	141	6	ϕ+	ϕ+	CCONJ
ejpam-6981	141	7	ϱ)v	ϱ)v	NOUN
ejpam-6981	141	8	(	(	PUNCT
ejpam-6981	141	9	t	t	NOUN
ejpam-6981	141	10	)	)	PUNCT
ejpam-6981	141	11	ψ5(t	ψ5(t	PROPN
ejpam-6981	141	12	,	,	PUNCT
ejpam-6981	141	13	f	f	PROPN
ejpam-6981	141	14	(	(	PUNCT
ejpam-6981	141	15	t	t	PROPN
ejpam-6981	141	16	)	)	PUNCT
ejpam-6981	141	17	)	)	PUNCT
ejpam-6981	142	1	=	=	SYM
ejpam-6981	142	2	θv	θv	PROPN
ejpam-6981	142	3	(	(	PUNCT
ejpam-6981	142	4	t)−	t)−	PROPN
ejpam-6981	142	5	(	(	PUNCT
ejpam-6981	142	6	µ+	µ+	X
ejpam-6981	142	7	ϱ)f	ϱ)f	X
ejpam-6981	142	8	(	(	PUNCT
ejpam-6981	142	9	t	t	PROPN
ejpam-6981	142	10	)	)	PUNCT
ejpam-6981	142	11	ψ6(t	ψ6(t	NOUN
ejpam-6981	142	12	,	,	PUNCT
ejpam-6981	142	13	q(t	q(t	NOUN
ejpam-6981	142	14	)	)	PUNCT
ejpam-6981	142	15	)	)	PUNCT
ejpam-6981	143	1	=	=	SYM
ejpam-6981	143	2	ϵf	ϵf	PROPN
ejpam-6981	144	1	(	(	PUNCT
ejpam-6981	144	2	t)−	t)−	PROPN
ejpam-6981	144	3	(	(	PUNCT
ejpam-6981	144	4	µ+	µ+	X
ejpam-6981	144	5	ϱ+	ϱ+	PUNCT
ejpam-6981	144	6	κ)q(t	κ)q(t	PROPN
ejpam-6981	144	7	)	)	PUNCT
ejpam-6981	144	8	lemma	lemma	PROPN
ejpam-6981	144	9	1	1	NUM
ejpam-6981	144	10	.	.	PUNCT
ejpam-6981	145	1	the	the	DET
ejpam-6981	145	2	kernels	kernel	NOUN
ejpam-6981	145	3	ψ1	ψ1	NOUN
ejpam-6981	145	4	,	,	PUNCT
ejpam-6981	145	5	ψ2	ψ2	NOUN
ejpam-6981	145	6	,	,	PUNCT
ejpam-6981	145	7	ψ3	ψ3	NOUN
ejpam-6981	145	8	,	,	PUNCT
ejpam-6981	145	9	ψ4	ψ4	NOUN
ejpam-6981	145	10	,	,	PUNCT
ejpam-6981	145	11	ψ5	ψ5	PROPN
ejpam-6981	145	12	,	,	PUNCT
ejpam-6981	145	13	and	and	CCONJ
ejpam-6981	145	14	ψ6	ψ6	VERB
ejpam-6981	145	15	in	in	ADP
ejpam-6981	145	16	(	(	PUNCT
ejpam-6981	145	17	4.1	4.1	NUM
ejpam-6981	145	18	)	)	PUNCT
ejpam-6981	145	19	satisfy	satisfy	VERB
ejpam-6981	145	20	the	the	DET
ejpam-6981	145	21	lipschitz	lipschitz	NOUN
ejpam-6981	145	22	condition	condition	NOUN
ejpam-6981	145	23	,	,	PUNCT
ejpam-6981	145	24	i.e.	i.e.	X
ejpam-6981	145	25	,	,	PUNCT
ejpam-6981	145	26	for	for	ADP
ejpam-6981	145	27	any	any	DET
ejpam-6981	145	28	two	two	NUM
ejpam-6981	145	29	state	state	NOUN
ejpam-6981	145	30	vectors	vector	NOUN
ejpam-6981	145	31	x1	x1	NOUN
ejpam-6981	145	32	=	=	SYM
ejpam-6981	145	33	(	(	PUNCT
ejpam-6981	145	34	u1	u1	PROPN
ejpam-6981	145	35	,	,	PUNCT
ejpam-6981	145	36	e1	e1	PROPN
ejpam-6981	145	37	,	,	PUNCT
ejpam-6981	145	38	i1	i1	PROPN
ejpam-6981	145	39	,	,	PUNCT
ejpam-6981	145	40	v1	v1	PROPN
ejpam-6981	145	41	,	,	PUNCT
ejpam-6981	145	42	f1	f1	NOUN
ejpam-6981	145	43	,	,	PUNCT
ejpam-6981	145	44	q1	q1	PROPN
ejpam-6981	145	45	)	)	PUNCT
ejpam-6981	145	46	and	and	CCONJ
ejpam-6981	145	47	x2	x2	NOUN
ejpam-6981	145	48	=	=	PRON
ejpam-6981	145	49	(	(	PUNCT
ejpam-6981	145	50	u2	u2	PROPN
ejpam-6981	145	51	,	,	PUNCT
ejpam-6981	145	52	e2	e2	PROPN
ejpam-6981	145	53	,	,	PUNCT
ejpam-6981	145	54	i2	i2	PROPN
ejpam-6981	145	55	,	,	PUNCT
ejpam-6981	145	56	v2	v2	PROPN
ejpam-6981	145	57	,	,	PUNCT
ejpam-6981	145	58	f2	f2	PROPN
ejpam-6981	145	59	,	,	PUNCT
ejpam-6981	145	60	q2	q2	NOUN
ejpam-6981	145	61	)	)	PUNCT
ejpam-6981	145	62	,	,	PUNCT
ejpam-6981	145	63	there	there	PRON
ejpam-6981	145	64	exist	exist	VERB
ejpam-6981	145	65	constants	constant	NOUN
ejpam-6981	145	66	0	0	PUNCT
ejpam-6981	145	67	<	<	X
ejpam-6981	145	68	λi	λi	X
ejpam-6981	145	69	<	<	X
ejpam-6981	145	70	1	1	NUM
ejpam-6981	145	71	such	such	ADJ
ejpam-6981	145	72	that	that	SCONJ
ejpam-6981	145	73	∥ψi(t	∥ψi(t	NOUN
ejpam-6981	145	74	,	,	PUNCT
ejpam-6981	145	75	x1	x1	PROPN
ejpam-6981	145	76	)	)	PUNCT
ejpam-6981	145	77	−	−	NOUN
ejpam-6981	145	78	ψi(t	ψi(t	NOUN
ejpam-6981	145	79	,	,	PUNCT
ejpam-6981	145	80	x2)∥	x2)∥	SYM
ejpam-6981	145	81	≤	≤	NOUN
ejpam-6981	145	82	λi∥x1	λi∥x1	NOUN
ejpam-6981	145	83	−	−	PROPN
ejpam-6981	145	84	x2∥	x2∥	PROPN
ejpam-6981	145	85	,	,	PUNCT
ejpam-6981	145	86	i	i	NOUN
ejpam-6981	145	87	=	=	NOUN
ejpam-6981	145	88	1	1	NUM
ejpam-6981	145	89	,	,	PUNCT
ejpam-6981	145	90	2	2	NUM
ejpam-6981	145	91	,	,	PUNCT
ejpam-6981	145	92	.	.	PUNCT
ejpam-6981	145	93	.	.	PUNCT
ejpam-6981	146	1	.	.	PUNCT
ejpam-6981	147	1	,	,	PUNCT
ejpam-6981	147	2	6	6	X
ejpam-6981	147	3	.	.	X
ejpam-6981	148	1	proof	proof	NOUN
ejpam-6981	148	2	:	:	PUNCT
ejpam-6981	148	3	let	let	VERB
ejpam-6981	148	4	u1	u1	NOUN
ejpam-6981	148	5	and	and	CCONJ
ejpam-6981	148	6	u2	u2	PROPN
ejpam-6981	148	7	,	,	PUNCT
ejpam-6981	148	8	for	for	ADP
ejpam-6981	148	9	the	the	DET
ejpam-6981	148	10	kernel	kernel	PROPN
ejpam-6981	148	11	ψ1	ψ1	NOUN
ejpam-6981	148	12	,	,	PUNCT
ejpam-6981	148	13	e1	e1	PROPN
ejpam-6981	148	14	and	and	CCONJ
ejpam-6981	148	15	e2	e2	PROPN
ejpam-6981	148	16	,	,	PUNCT
ejpam-6981	148	17	for	for	ADP
ejpam-6981	148	18	the	the	DET
ejpam-6981	148	19	kernel	kernel	PROPN
ejpam-6981	148	20	ψ2	ψ2	PROPN
ejpam-6981	148	21	,	,	PUNCT
ejpam-6981	148	22	i1	i1	PROPN
ejpam-6981	148	23	and	and	CCONJ
ejpam-6981	148	24	i2	i2	PROPN
ejpam-6981	148	25	,	,	PUNCT
ejpam-6981	148	26	for	for	ADP
ejpam-6981	148	27	the	the	DET
ejpam-6981	148	28	kernel	kernel	PROPN
ejpam-6981	148	29	ψ3	ψ3	PROPN
ejpam-6981	148	30	,	,	PUNCT
ejpam-6981	148	31	v1	v1	NOUN
ejpam-6981	148	32	and	and	CCONJ
ejpam-6981	148	33	v2	v2	NOUN
ejpam-6981	148	34	,	,	PUNCT
ejpam-6981	148	35	for	for	ADP
ejpam-6981	148	36	the	the	DET
ejpam-6981	148	37	kernel	kernel	PROPN
ejpam-6981	148	38	ψ4	ψ4	PROPN
ejpam-6981	148	39	,	,	PUNCT
ejpam-6981	148	40	f1	f1	NOUN
ejpam-6981	148	41	and	and	CCONJ
ejpam-6981	148	42	f2	f2	PROPN
ejpam-6981	148	43	,	,	PUNCT
ejpam-6981	148	44	for	for	ADP
ejpam-6981	148	45	the	the	DET
ejpam-6981	148	46	kernel	kernel	PROPN
ejpam-6981	148	47	ψ5	ψ5	PROPN
ejpam-6981	148	48	and	and	CCONJ
ejpam-6981	148	49	q1	q1	PROPN
ejpam-6981	148	50	and	and	CCONJ
ejpam-6981	148	51	q2	q2	PROPN
ejpam-6981	148	52	,	,	PUNCT
ejpam-6981	148	53	the	the	DET
ejpam-6981	148	54	respective	respective	ADJ
ejpam-6981	148	55	functions	function	NOUN
ejpam-6981	148	56	associated	associate	VERB
ejpam-6981	148	57	with	with	ADP
ejpam-6981	148	58	the	the	DET
ejpam-6981	148	59	kernel	kernel	PROPN
ejpam-6981	148	60	ψ6	ψ6	PROPN
ejpam-6981	148	61	correspond	correspond	VERB
ejpam-6981	148	62	to	to	ADP
ejpam-6981	148	63	the	the	DET
ejpam-6981	148	64	following	following	NOUN
ejpam-6981	148	65	:	:	PUNCT
ejpam-6981	148	66	∥ψ1(t	∥ψ1(t	VERB
ejpam-6981	148	67	,	,	PUNCT
ejpam-6981	148	68	u1(t))−	u1(t))−	PROPN
ejpam-6981	148	69	ψ1(t	ψ1(t	PROPN
ejpam-6981	148	70	,	,	PUNCT
ejpam-6981	148	71	u2(t))∥	u2(t))∥	NOUN
ejpam-6981	148	72	=	=	PUNCT
ejpam-6981	148	73	∥(−(σ	∥(−(σ	NOUN
ejpam-6981	148	74	+	+	CCONJ
ejpam-6981	148	75	ψ	ψ	X
ejpam-6981	148	76	+	+	CCONJ
ejpam-6981	148	77	ϱ)u1(t	ϱ)u1(t	NOUN
ejpam-6981	148	78	)	)	PUNCT
ejpam-6981	148	79	)	)	PUNCT
ejpam-6981	149	1	+	+	CCONJ
ejpam-6981	149	2	(	(	PUNCT
ejpam-6981	149	3	σ	σ	X
ejpam-6981	149	4	+	+	NOUN
ejpam-6981	149	5	ψ	ψ	X
ejpam-6981	149	6	+	+	X
ejpam-6981	149	7	ϱ)u2(t))∥	ϱ)u2(t))∥	PROPN
ejpam-6981	149	8	,	,	PUNCT
ejpam-6981	149	9	∥ψ2(t	∥ψ2(t	PROPN
ejpam-6981	149	10	,	,	PUNCT
ejpam-6981	149	11	e1(t))−	e1(t))−	NUM
ejpam-6981	149	12	ψ2(t	ψ2(t	PROPN
ejpam-6981	149	13	,	,	PUNCT
ejpam-6981	149	14	e2(t))∥	e2(t))∥	VERB
ejpam-6981	149	15	=	=	PROPN
ejpam-6981	149	16	∥(−((χ+	∥(−((χ+	PROPN
ejpam-6981	149	17	ϱ))e1(t	ϱ))e1(t	NOUN
ejpam-6981	149	18	)	)	PUNCT
ejpam-6981	149	19	)	)	PUNCT
ejpam-6981	150	1	+	+	CCONJ
ejpam-6981	150	2	(	(	PUNCT
ejpam-6981	150	3	(	(	PUNCT
ejpam-6981	150	4	χ+	χ+	PROPN
ejpam-6981	150	5	ϱ))e2(t))∥	ϱ))e2(t))∥	PROPN
ejpam-6981	150	6	,	,	PUNCT
ejpam-6981	150	7	∥ψ3(t	∥ψ3(t	NOUN
ejpam-6981	150	8	,	,	PUNCT
ejpam-6981	150	9	i1(t))−	i1(t))−	NUM
ejpam-6981	150	10	ψ3(t	ψ3(t	PROPN
ejpam-6981	150	11	,	,	PUNCT
ejpam-6981	150	12	i2(t))∥	i2(t))∥	ADJ
ejpam-6981	150	13	=	=	X
ejpam-6981	150	14	∥(−(ξ	∥(−(ξ	NOUN
ejpam-6981	150	15	+	+	CCONJ
ejpam-6981	150	16	ϱ+	ϱ+	NOUN
ejpam-6981	150	17	∂)i1(t	∂)i1(t	NUM
ejpam-6981	150	18	)	)	PUNCT
ejpam-6981	150	19	)	)	PUNCT
ejpam-6981	151	1	+	+	CCONJ
ejpam-6981	151	2	(	(	PUNCT
ejpam-6981	151	3	ξ	ξ	X
ejpam-6981	151	4	+	+	PUNCT
ejpam-6981	151	5	ϱ+	ϱ+	NUM
ejpam-6981	151	6	∂)i2(t))∥	∂)i2(t))∥	PROPN
ejpam-6981	151	7	,	,	PUNCT
ejpam-6981	151	8	∥ψ4(t	∥ψ4(t	ADJ
ejpam-6981	151	9	,	,	PUNCT
ejpam-6981	151	10	v1(t))−	v1(t))−	PROPN
ejpam-6981	151	11	ψ4(t	ψ4(t	PROPN
ejpam-6981	151	12	,	,	PUNCT
ejpam-6981	151	13	v2(t))∥	v2(t))∥	NOUN
ejpam-6981	151	14	=	=	PUNCT
ejpam-6981	151	15	∥(−(θ	∥(−(θ	NOUN
ejpam-6981	151	16	+	+	CCONJ
ejpam-6981	151	17	ϕ+	ϕ+	PUNCT
ejpam-6981	151	18	ϱ)v1(t	ϱ)v1(t	NUM
ejpam-6981	151	19	)	)	PUNCT
ejpam-6981	151	20	)	)	PUNCT
ejpam-6981	152	1	+	+	CCONJ
ejpam-6981	152	2	(	(	PUNCT
ejpam-6981	152	3	θ	θ	NOUN
ejpam-6981	152	4	+	+	X
ejpam-6981	152	5	ϕ+	ϕ+	PUNCT
ejpam-6981	152	6	ϱ)v2(t))∥	ϱ)v2(t))∥	PROPN
ejpam-6981	152	7	,	,	PUNCT
ejpam-6981	152	8	∥ψ5(t	∥ψ5(t	INTJ
ejpam-6981	152	9	,	,	PUNCT
ejpam-6981	152	10	f1(t))−	f1(t))−	NOUN
ejpam-6981	152	11	ψ5(t	ψ5(t	NOUN
ejpam-6981	152	12	,	,	PUNCT
ejpam-6981	152	13	f2(t))∥	f2(t))∥	VERB
ejpam-6981	152	14	=	=	SYM
ejpam-6981	152	15	∥(−(µ+	∥(−(µ+	NUM
ejpam-6981	152	16	ϱ)f1(t	ϱ)f1(t	NUM
ejpam-6981	152	17	)	)	PUNCT
ejpam-6981	152	18	)	)	PUNCT
ejpam-6981	153	1	+	+	CCONJ
ejpam-6981	153	2	(	(	PUNCT
ejpam-6981	153	3	µ+	µ+	X
ejpam-6981	153	4	ϱ)f2(t))∥	ϱ)f2(t))∥	PROPN
ejpam-6981	153	5	,	,	PUNCT
ejpam-6981	153	6	∥ψ6(t	∥ψ6(t	NOUN
ejpam-6981	153	7	,	,	PUNCT
ejpam-6981	153	8	q1(t))−	q1(t))−	PROPN
ejpam-6981	153	9	ψ6(t	ψ6(t	NOUN
ejpam-6981	153	10	,	,	PUNCT
ejpam-6981	153	11	q2(t))∥	q2(t))∥	VERB
ejpam-6981	153	12	=	=	SYM
ejpam-6981	153	13	∥(−(µ+	∥(−(µ+	X
ejpam-6981	153	14	ϱ+	ϱ+	X
ejpam-6981	153	15	κ)q1(t	κ)q1(t	NOUN
ejpam-6981	153	16	)	)	PUNCT
ejpam-6981	153	17	)	)	PUNCT
ejpam-6981	154	1	+	+	CCONJ
ejpam-6981	154	2	(	(	PUNCT
ejpam-6981	154	3	µ+	µ+	X
ejpam-6981	154	4	ϱ+	ϱ+	PUNCT
ejpam-6981	154	5	κ)q2(t))∥	κ)q2(t))∥	PROPN
ejpam-6981	154	6	,	,	PUNCT
ejpam-6981	154	7	(	(	PUNCT
ejpam-6981	154	8	4.2	4.2	NUM
ejpam-6981	154	9	)	)	PUNCT
ejpam-6981	154	10	consider	consider	VERB
ejpam-6981	154	11	∥ψ1(t	∥ψ1(t	VERB
ejpam-6981	154	12	,	,	PUNCT
ejpam-6981	154	13	u1(t))−	u1(t))−	PROPN
ejpam-6981	154	14	ψ1(t	ψ1(t	PROPN
ejpam-6981	154	15	,	,	PUNCT
ejpam-6981	154	16	u2(t))∥	u2(t))∥	NOUN
ejpam-6981	154	17	=	=	PUNCT
ejpam-6981	154	18	∥(−(σ	∥(−(σ	NOUN
ejpam-6981	154	19	+	+	CCONJ
ejpam-6981	154	20	ψ	ψ	X
ejpam-6981	154	21	+	+	CCONJ
ejpam-6981	154	22	ϱ)u1(t	ϱ)u1(t	NOUN
ejpam-6981	154	23	)	)	PUNCT
ejpam-6981	154	24	)	)	PUNCT
ejpam-6981	155	1	+	+	CCONJ
ejpam-6981	155	2	(	(	PUNCT
ejpam-6981	155	3	σ	σ	X
ejpam-6981	155	4	+	+	NOUN
ejpam-6981	155	5	ψ	ψ	X
ejpam-6981	155	6	+	+	X
ejpam-6981	155	7	ϱ)u2(t))∥	ϱ)u2(t))∥	PROPN
ejpam-6981	155	8	,	,	PUNCT
ejpam-6981	155	9	≤	≤	ADJ
ejpam-6981	155	10	∥((σ	∥((σ	PUNCT
ejpam-6981	156	1	+	+	PUNCT
ejpam-6981	156	2	ψ	ψ	X
ejpam-6981	156	3	+	+	CCONJ
ejpam-6981	156	4	ϱ)(u1(t))−	ϱ)(u1(t))−	NOUN
ejpam-6981	156	5	u2(t)))∥	u2(t)))∥	NOUN
ejpam-6981	156	6	,	,	PUNCT
ejpam-6981	156	7	≤	≤	NUM
ejpam-6981	156	8	λ1∥(u1(t))−	λ1∥(u1(t))−	ADP
ejpam-6981	156	9	u2(t)∥	u2(t)∥	NOUN
ejpam-6981	156	10	,	,	PUNCT
ejpam-6981	156	11	(	(	PUNCT
ejpam-6981	156	12	4.3	4.3	NUM
ejpam-6981	156	13	)	)	PUNCT
ejpam-6981	156	14	where	where	SCONJ
ejpam-6981	156	15	λ1	λ1	PROPN
ejpam-6981	156	16	=	=	SYM
ejpam-6981	156	17	σ	σ	PROPN
ejpam-6981	156	18	+	+	NUM
ejpam-6981	156	19	ψ	ψ	X
ejpam-6981	156	20	+	+	X
ejpam-6981	156	21	ϱ.	ϱ.	NOUN
ejpam-6981	156	22	similarly	similarly	ADV
ejpam-6981	156	23	,	,	PUNCT
ejpam-6981	156	24	we	we	PRON
ejpam-6981	156	25	can	can	AUX
ejpam-6981	156	26	obtain	obtain	VERB
ejpam-6981	156	27	∥ψ2(t	∥ψ2(t	NOUN
ejpam-6981	156	28	,	,	PUNCT
ejpam-6981	156	29	e1(t))−	e1(t))−	PROPN
ejpam-6981	156	30	ψ2(t	ψ2(t	PROPN
ejpam-6981	156	31	,	,	PUNCT
ejpam-6981	156	32	e2(t))∥	e2(t))∥	VERB
ejpam-6981	156	33	≤	≤	X
ejpam-6981	157	1	λ2∥(e1(t))−	λ2∥(e1(t))−	NUM
ejpam-6981	157	2	e2(t)∥	e2(t)∥	NOUN
ejpam-6981	157	3	,	,	PUNCT
ejpam-6981	157	4	∥ψ3(t	∥ψ3(t	NOUN
ejpam-6981	157	5	,	,	PUNCT
ejpam-6981	157	6	i1(t))−	i1(t))−	NUM
ejpam-6981	157	7	ψ3(t	ψ3(t	PROPN
ejpam-6981	157	8	,	,	PUNCT
ejpam-6981	157	9	i2(t))∥	i2(t))∥	VERB
ejpam-6981	157	10	≤	≤	X
ejpam-6981	157	11	λ3∥(i1(t))−	λ3∥(i1(t))−	NUM
ejpam-6981	157	12	i2(t)∥	i2(t)∥	NOUN
ejpam-6981	157	13	,	,	PUNCT
ejpam-6981	157	14	∥ψ4(t	∥ψ4(t	ADJ
ejpam-6981	157	15	,	,	PUNCT
ejpam-6981	157	16	v1(t))−	v1(t))−	PROPN
ejpam-6981	157	17	ψ4(t	ψ4(t	PROPN
ejpam-6981	157	18	,	,	PUNCT
ejpam-6981	157	19	v2(t))∥	v2(t))∥	NOUN
ejpam-6981	157	20	≤	≤	X
ejpam-6981	158	1	λ4∥(v1(t))−	λ4∥(v1(t))−	PROPN
ejpam-6981	158	2	v2(t)∥	v2(t)∥	PROPN
ejpam-6981	158	3	,	,	PUNCT
ejpam-6981	158	4	∥ψ5(t	∥ψ5(t	INTJ
ejpam-6981	158	5	,	,	PUNCT
ejpam-6981	158	6	f1(t))−	f1(t))−	NOUN
ejpam-6981	158	7	ψ5(t	ψ5(t	NOUN
ejpam-6981	158	8	,	,	PUNCT
ejpam-6981	158	9	f2(t))∥	f2(t))∥	VERB
ejpam-6981	158	10	≤	≤	NUM
ejpam-6981	158	11	λ5∥(f1(t))−	λ5∥(f1(t))−	PROPN
ejpam-6981	158	12	f2(t)∥	f2(t)∥	PROPN
ejpam-6981	158	13	,	,	PUNCT
ejpam-6981	158	14	∥ψ6(t	∥ψ6(t	NOUN
ejpam-6981	158	15	,	,	PUNCT
ejpam-6981	158	16	q1(t))−	q1(t))−	PROPN
ejpam-6981	158	17	ψ6(t	ψ6(t	NOUN
ejpam-6981	158	18	,	,	PUNCT
ejpam-6981	158	19	q2(t))∥	q2(t))∥	VERB
ejpam-6981	159	1	≤	≤	PROPN
ejpam-6981	159	2	λ6∥(q1(t))−q2(t)∥	λ6∥(q1(t))−q2(t)∥	ADP
ejpam-6981	159	3	,	,	PUNCT
ejpam-6981	159	4	(	(	PUNCT
ejpam-6981	159	5	4.4	4.4	NUM
ejpam-6981	159	6	)	)	PUNCT
ejpam-6981	159	7	where	where	SCONJ
ejpam-6981	159	8	λ2	λ2	NOUN
ejpam-6981	159	9	=	=	SYM
ejpam-6981	159	10	χ+	χ+	NUM
ejpam-6981	159	11	ϱ,λ3	ϱ,λ3	PROPN
ejpam-6981	159	12	=	=	SYM
ejpam-6981	159	13	ξ	ξ	PROPN
ejpam-6981	159	14	+	+	NUM
ejpam-6981	159	15	ϱ+	ϱ+	NOUN
ejpam-6981	159	16	ℵ	ℵ	NOUN
ejpam-6981	159	17	,	,	PUNCT
ejpam-6981	159	18	λ4	λ4	NOUN
ejpam-6981	159	19	=	=	SYM
ejpam-6981	159	20	θ	θ	PROPN
ejpam-6981	159	21	+	+	CCONJ
ejpam-6981	159	22	ϕ+	ϕ+	ADP
ejpam-6981	159	23	ϱ	ϱ	VERB
ejpam-6981	159	24	,	,	PUNCT
ejpam-6981	159	25	λ5	λ5	NOUN
ejpam-6981	159	26	=	=	PUNCT
ejpam-6981	159	27	µ+	µ+	X
ejpam-6981	159	28	ϱ	ϱ	PROPN
ejpam-6981	159	29	,	,	PUNCT
ejpam-6981	159	30	λ6	λ6	PROPN
ejpam-6981	159	31	=	=	SYM
ejpam-6981	159	32	µ+	µ+	X
ejpam-6981	159	33	ϱ+	ϱ+	NUM
ejpam-6981	159	34	κ	κ	NOUN
ejpam-6981	159	35	.	.	PUNCT
ejpam-6981	159	36	utilising	utilise	VERB
ejpam-6981	159	37	the	the	DET
ejpam-6981	159	38	subsequent	subsequent	ADJ
ejpam-6981	159	39	recursive	recursive	ADJ
ejpam-6981	159	40	formula	formula	NOUN
ejpam-6981	159	41	,	,	PUNCT
ejpam-6981	159	42	we	we	PRON
ejpam-6981	159	43	obtain	obtain	VERB
ejpam-6981	159	44	un(t	un(t	NOUN
ejpam-6981	159	45	)	)	PUNCT
ejpam-6981	159	46	=	=	PUNCT
ejpam-6981	160	1	2(1−	2(1−	NUM
ejpam-6981	160	2	η	η	NOUN
ejpam-6981	160	3	)	)	PUNCT
ejpam-6981	160	4	(	(	PUNCT
ejpam-6981	160	5	2−	2−	NUM
ejpam-6981	160	6	η)n(η	η)n(η	ADV
ejpam-6981	160	7	)	)	PUNCT
ejpam-6981	160	8	ψ1(t	ψ1(t	PROPN
ejpam-6981	160	9	,	,	PUNCT
ejpam-6981	160	10	un−1(t	un−1(t	ADJ
ejpam-6981	160	11	)	)	PUNCT
ejpam-6981	160	12	)	)	PUNCT
ejpam-6981	161	1	+	+	CCONJ
ejpam-6981	161	2	2η	2η	NUM
ejpam-6981	161	3	(	(	PUNCT
ejpam-6981	161	4	2−	2−	NUM
ejpam-6981	161	5	η)n(η	η)n(η	ADV
ejpam-6981	161	6	)	)	PUNCT
ejpam-6981	162	1	∫	∫	PROPN
ejpam-6981	162	2	t	t	PROPN
ejpam-6981	162	3	0	0	NUM
ejpam-6981	163	1	ψ1(ℵ	ψ1(ℵ	NOUN
ejpam-6981	163	2	,	,	PUNCT
ejpam-6981	163	3	un−1(ℵ))dℵ	un−1(ℵ))dℵ	PROPN
ejpam-6981	163	4	,	,	PUNCT
ejpam-6981	163	5	a.	a.	NOUN
ejpam-6981	163	6	shaikh	shaikh	PROPN
ejpam-6981	163	7	,	,	PUNCT
ejpam-6981	163	8	s.	s.	PROPN
ejpam-6981	163	9	howal	howal	PROPN
ejpam-6981	163	10	,	,	PUNCT
ejpam-6981	163	11	k.	k.	PROPN
ejpam-6981	163	12	s.	s.	PROPN
ejpam-6981	163	13	nisar	nisar	PROPN
ejpam-6981	163	14	/	/	SYM
ejpam-6981	163	15	eur	eur	PROPN
ejpam-6981	163	16	.	.	PUNCT
ejpam-6981	164	1	j.	j.	PROPN
ejpam-6981	164	2	pure	pure	PROPN
ejpam-6981	164	3	appl	appl	PROPN
ejpam-6981	164	4	.	.	PROPN
ejpam-6981	164	5	math	math	PROPN
ejpam-6981	164	6	,	,	PUNCT
ejpam-6981	164	7	18	18	NUM
ejpam-6981	164	8	(	(	PUNCT
ejpam-6981	164	9	4	4	NUM
ejpam-6981	164	10	)	)	PUNCT
ejpam-6981	164	11	(	(	PUNCT
ejpam-6981	164	12	2025	2025	NUM
ejpam-6981	164	13	)	)	PUNCT
ejpam-6981	164	14	,	,	PUNCT
ejpam-6981	164	15	6981	6981	NUM
ejpam-6981	164	16	8	8	NUM
ejpam-6981	164	17	en(t	en(t	X
ejpam-6981	164	18	)	)	PUNCT
ejpam-6981	164	19	=	=	PUNCT
ejpam-6981	165	1	2(1−	2(1−	NUM
ejpam-6981	165	2	η	η	NOUN
ejpam-6981	165	3	)	)	PUNCT
ejpam-6981	165	4	(	(	PUNCT
ejpam-6981	165	5	2−	2−	NUM
ejpam-6981	165	6	η)n(η	η)n(η	ADV
ejpam-6981	165	7	)	)	PUNCT
ejpam-6981	165	8	ψ2(t	ψ2(t	PROPN
ejpam-6981	165	9	,	,	PUNCT
ejpam-6981	165	10	en−1(t	en−1(t	PROPN
ejpam-6981	165	11	)	)	PUNCT
ejpam-6981	165	12	)	)	PUNCT
ejpam-6981	166	1	+	+	CCONJ
ejpam-6981	166	2	2η	2η	NUM
ejpam-6981	166	3	(	(	PUNCT
ejpam-6981	166	4	2−	2−	NUM
ejpam-6981	166	5	η)n(η	η)n(η	ADV
ejpam-6981	166	6	)	)	PUNCT
ejpam-6981	167	1	∫	∫	PROPN
ejpam-6981	168	1	t	t	PROPN
ejpam-6981	168	2	0	0	NUM
ejpam-6981	169	1	ψ2(ℵ	ψ2(ℵ	PROPN
ejpam-6981	169	2	,	,	PUNCT
ejpam-6981	169	3	en−1(ℵ))dℵ	en−1(ℵ))dℵ	PROPN
ejpam-6981	169	4	,	,	PUNCT
ejpam-6981	169	5	in(t	in(t	NUM
ejpam-6981	169	6	)	)	PUNCT
ejpam-6981	169	7	=	=	PUNCT
ejpam-6981	170	1	2(1−	2(1−	NUM
ejpam-6981	170	2	η	η	NOUN
ejpam-6981	170	3	)	)	PUNCT
ejpam-6981	170	4	(	(	PUNCT
ejpam-6981	170	5	2−	2−	NUM
ejpam-6981	170	6	η)n(η	η)n(η	ADV
ejpam-6981	170	7	)	)	PUNCT
ejpam-6981	171	1	ψ3(t	ψ3(t	NOUN
ejpam-6981	171	2	,	,	PUNCT
ejpam-6981	171	3	in−1(t	in−1(t	ADJ
ejpam-6981	171	4	)	)	PUNCT
ejpam-6981	171	5	)	)	PUNCT
ejpam-6981	172	1	+	+	CCONJ
ejpam-6981	172	2	2η	2η	NUM
ejpam-6981	172	3	(	(	PUNCT
ejpam-6981	172	4	2−	2−	NUM
ejpam-6981	172	5	η)n(η	η)n(η	ADV
ejpam-6981	172	6	)	)	PUNCT
ejpam-6981	173	1	∫	∫	PROPN
ejpam-6981	173	2	t	t	PROPN
ejpam-6981	173	3	0	0	NUM
ejpam-6981	173	4	ψ3(ℵ	ψ3(ℵ	NOUN
ejpam-6981	173	5	,	,	PUNCT
ejpam-6981	173	6	in−1(ℵ))dℵ	in−1(ℵ))dℵ	NOUN
ejpam-6981	173	7	,	,	PUNCT
ejpam-6981	173	8	vn(t	vn(t	PUNCT
ejpam-6981	173	9	)	)	PUNCT
ejpam-6981	173	10	=	=	PUNCT
ejpam-6981	174	1	2(1−	2(1−	NUM
ejpam-6981	174	2	η	η	NOUN
ejpam-6981	174	3	)	)	PUNCT
ejpam-6981	174	4	(	(	PUNCT
ejpam-6981	174	5	2−	2−	NUM
ejpam-6981	174	6	η)n(η	η)n(η	ADV
ejpam-6981	174	7	)	)	PUNCT
ejpam-6981	174	8	ψ4(t	ψ4(t	PROPN
ejpam-6981	174	9	,	,	PUNCT
ejpam-6981	174	10	vn−1(t	vn−1(t	PROPN
ejpam-6981	174	11	)	)	PUNCT
ejpam-6981	174	12	)	)	PUNCT
ejpam-6981	175	1	+	+	CCONJ
ejpam-6981	175	2	2η	2η	NUM
ejpam-6981	175	3	(	(	PUNCT
ejpam-6981	175	4	2−	2−	NUM
ejpam-6981	175	5	η)n(η	η)n(η	ADV
ejpam-6981	175	6	)	)	PUNCT
ejpam-6981	176	1	∫	∫	PROPN
ejpam-6981	176	2	t	t	PROPN
ejpam-6981	176	3	0	0	NUM
ejpam-6981	177	1	ψ4(ℵ	ψ4(ℵ	PROPN
ejpam-6981	177	2	,	,	PUNCT
ejpam-6981	177	3	vn−1(ℵ))dℵ	vn−1(ℵ))dℵ	PROPN
ejpam-6981	177	4	,	,	PUNCT
ejpam-6981	177	5	fn(t	fn(t	PUNCT
ejpam-6981	177	6	)	)	PUNCT
ejpam-6981	177	7	=	=	PUNCT
ejpam-6981	178	1	2(1−	2(1−	NUM
ejpam-6981	178	2	η	η	NOUN
ejpam-6981	178	3	)	)	PUNCT
ejpam-6981	178	4	(	(	PUNCT
ejpam-6981	178	5	2−	2−	NUM
ejpam-6981	178	6	η)n(η	η)n(η	ADV
ejpam-6981	178	7	)	)	PUNCT
ejpam-6981	179	1	ψ5(t	ψ5(t	NOUN
ejpam-6981	179	2	,	,	PUNCT
ejpam-6981	179	3	fn−1(t	fn−1(t	PROPN
ejpam-6981	179	4	)	)	PUNCT
ejpam-6981	179	5	)	)	PUNCT
ejpam-6981	180	1	+	+	CCONJ
ejpam-6981	180	2	2η	2η	NUM
ejpam-6981	180	3	(	(	PUNCT
ejpam-6981	180	4	2−	2−	NUM
ejpam-6981	180	5	η)n(η	η)n(η	ADV
ejpam-6981	180	6	)	)	PUNCT
ejpam-6981	181	1	∫	∫	PROPN
ejpam-6981	181	2	t	t	PROPN
ejpam-6981	181	3	0	0	NUM
ejpam-6981	182	1	ψ5(ℵ	ψ5(ℵ	NOUN
ejpam-6981	182	2	,	,	PUNCT
ejpam-6981	182	3	fn−1(ℵ))dℵ	fn−1(ℵ))dℵ	NOUN
ejpam-6981	182	4	,	,	PUNCT
ejpam-6981	182	5	qn(t	qn(t	NUM
ejpam-6981	182	6	)	)	PUNCT
ejpam-6981	182	7	=	=	PUNCT
ejpam-6981	183	1	2(1−	2(1−	NUM
ejpam-6981	183	2	η	η	NOUN
ejpam-6981	183	3	)	)	PUNCT
ejpam-6981	183	4	(	(	PUNCT
ejpam-6981	183	5	2−	2−	NUM
ejpam-6981	183	6	η)n(η	η)n(η	ADV
ejpam-6981	183	7	)	)	PUNCT
ejpam-6981	183	8	ψ6(t	ψ6(t	NOUN
ejpam-6981	183	9	,	,	PUNCT
ejpam-6981	183	10	qn−1(t	qn−1(t	PROPN
ejpam-6981	183	11	)	)	PUNCT
ejpam-6981	183	12	)	)	PUNCT
ejpam-6981	184	1	+	+	CCONJ
ejpam-6981	184	2	2η	2η	NUM
ejpam-6981	184	3	(	(	PUNCT
ejpam-6981	184	4	2−	2−	NUM
ejpam-6981	184	5	η)n(η	η)n(η	ADV
ejpam-6981	184	6	)	)	PUNCT
ejpam-6981	185	1	∫	∫	PROPN
ejpam-6981	185	2	t	t	PROPN
ejpam-6981	185	3	0	0	NUM
ejpam-6981	186	1	ψ6(ℵ	ψ6(ℵ	NOUN
ejpam-6981	186	2	,	,	PUNCT
ejpam-6981	186	3	qn−1(ℵ))dℵ.	qn−1(ℵ))dℵ.	NOUN
ejpam-6981	186	4	now	now	ADV
ejpam-6981	186	5	,	,	PUNCT
ejpam-6981	186	6	by	by	ADP
ejpam-6981	186	7	triangle	triangle	NOUN
ejpam-6981	186	8	inequality	inequality	NOUN
ejpam-6981	186	9	,	,	PUNCT
ejpam-6981	186	10	we	we	PRON
ejpam-6981	186	11	get	get	VERB
ejpam-6981	186	12	∥∆1n(t)∥	∥∆1n(t)∥	NOUN
ejpam-6981	186	13	=	=	SYM
ejpam-6981	186	14	∥un(t)−	∥un(t)−	NOUN
ejpam-6981	186	15	un−1(t)∥	un−1(t)∥	NOUN
ejpam-6981	187	1	≤	≤	PROPN
ejpam-6981	187	2	2(1−	2(1−	NUM
ejpam-6981	187	3	η	η	NOUN
ejpam-6981	187	4	)	)	PUNCT
ejpam-6981	187	5	(	(	PUNCT
ejpam-6981	187	6	2−	2−	NUM
ejpam-6981	187	7	η)n(η	η)n(η	ADV
ejpam-6981	187	8	)	)	PUNCT
ejpam-6981	187	9	∥ψ1	∥ψ1	NOUN
ejpam-6981	187	10	(	(	PUNCT
ejpam-6981	187	11	t	t	PROPN
ejpam-6981	187	12	,	,	PUNCT
ejpam-6981	187	13	un−1(t	un−1(t	ADJ
ejpam-6981	187	14	)	)	PUNCT
ejpam-6981	187	15	)	)	PUNCT
ejpam-6981	188	1	−	−	ADP
ejpam-6981	188	2	ψ1	ψ1	NOUN
ejpam-6981	188	3	(	(	PUNCT
ejpam-6981	188	4	t	t	PROPN
ejpam-6981	188	5	,	,	PUNCT
ejpam-6981	188	6	un−2(t	un−2(t	PROPN
ejpam-6981	188	7	)	)	PUNCT
ejpam-6981	188	8	)	)	PUNCT
ejpam-6981	188	9	∥	∥	PUNCT
ejpam-6981	189	1	+	+	NUM
ejpam-6981	189	2	2η	2η	NUM
ejpam-6981	189	3	(	(	PUNCT
ejpam-6981	189	4	2−	2−	NUM
ejpam-6981	189	5	η)n(η	η)n(η	ADV
ejpam-6981	189	6	)	)	PUNCT
ejpam-6981	189	7	∥∥∥∥∫	∥∥∥∥∫	NOUN
ejpam-6981	189	8	t	t	NOUN
ejpam-6981	189	9	0	0	NUM
ejpam-6981	189	10	[	[	PUNCT
ejpam-6981	189	11	ψ1	ψ1	NOUN
ejpam-6981	189	12	(	(	PUNCT
ejpam-6981	189	13	ℵ	ℵ	NOUN
ejpam-6981	189	14	,	,	PUNCT
ejpam-6981	189	15	un−1(ℵ	un−1(ℵ	ADJ
ejpam-6981	189	16	)	)	PUNCT
ejpam-6981	189	17	)	)	PUNCT
ejpam-6981	190	1	−	−	ADP
ejpam-6981	190	2	ψ1	ψ1	NOUN
ejpam-6981	190	3	(	(	PUNCT
ejpam-6981	190	4	ℵ	ℵ	NOUN
ejpam-6981	190	5	,	,	PUNCT
ejpam-6981	190	6	un−2(ℵ	un−2(ℵ	NOUN
ejpam-6981	190	7	)	)	PUNCT
ejpam-6981	190	8	)	)	PUNCT
ejpam-6981	190	9	]	]	PUNCT
ejpam-6981	191	1	dℵ	dℵ	PRON
ejpam-6981	191	2	∥∥∥∥	∥∥∥∥	NUM
ejpam-6981	191	3	,	,	PUNCT
ejpam-6981	191	4	∥∆2n(t)∥	∥∆2n(t)∥	PROPN
ejpam-6981	191	5	=	=	SYM
ejpam-6981	191	6	∥en(t)−	∥en(t)−	PROPN
ejpam-6981	191	7	en−1(t)∥	en−1(t)∥	NOUN
ejpam-6981	191	8	≤	≤	NUM
ejpam-6981	191	9	2(1−	2(1−	NUM
ejpam-6981	191	10	η	η	NOUN
ejpam-6981	191	11	)	)	PUNCT
ejpam-6981	191	12	(	(	PUNCT
ejpam-6981	191	13	2−	2−	NUM
ejpam-6981	191	14	η)n(η	η)n(η	ADJ
ejpam-6981	191	15	)	)	PUNCT
ejpam-6981	191	16	∥ψ2	∥ψ2	NOUN
ejpam-6981	191	17	(	(	PUNCT
ejpam-6981	191	18	t	t	PROPN
ejpam-6981	191	19	,	,	PUNCT
ejpam-6981	191	20	en−1(t	en−1(t	PROPN
ejpam-6981	191	21	)	)	PUNCT
ejpam-6981	191	22	)	)	PUNCT
ejpam-6981	192	1	−	−	ADP
ejpam-6981	192	2	ψ2	ψ2	NOUN
ejpam-6981	192	3	(	(	PUNCT
ejpam-6981	192	4	t	t	NOUN
ejpam-6981	192	5	,	,	PUNCT
ejpam-6981	192	6	en−2(t	en−2(t	PROPN
ejpam-6981	192	7	)	)	PUNCT
ejpam-6981	192	8	)	)	PUNCT
ejpam-6981	193	1	∥	∥	PUNCT
ejpam-6981	194	1	+	+	NUM
ejpam-6981	194	2	2η	2η	NUM
ejpam-6981	194	3	(	(	PUNCT
ejpam-6981	194	4	2−	2−	NUM
ejpam-6981	194	5	η)n(η	η)n(η	ADV
ejpam-6981	194	6	)	)	PUNCT
ejpam-6981	194	7	∥∥∥∥∫	∥∥∥∥∫	NOUN
ejpam-6981	194	8	t	t	NOUN
ejpam-6981	194	9	0	0	PUNCT
ejpam-6981	194	10	[	[	PUNCT
ejpam-6981	194	11	ψ2	ψ2	NOUN
ejpam-6981	194	12	(	(	PUNCT
ejpam-6981	194	13	ℵ	ℵ	NOUN
ejpam-6981	194	14	,	,	PUNCT
ejpam-6981	194	15	en−1(ℵ	en−1(ℵ	NUM
ejpam-6981	194	16	)	)	PUNCT
ejpam-6981	194	17	)	)	PUNCT
ejpam-6981	195	1	−	−	ADP
ejpam-6981	195	2	ψ2	ψ2	NOUN
ejpam-6981	195	3	(	(	PUNCT
ejpam-6981	195	4	ℵ	ℵ	X
ejpam-6981	195	5	,	,	PUNCT
ejpam-6981	195	6	en−2(ℵ	en−2(ℵ	NOUN
ejpam-6981	195	7	)	)	PUNCT
ejpam-6981	195	8	)	)	PUNCT
ejpam-6981	195	9	]	]	PUNCT
ejpam-6981	196	1	dℵ	dℵ	PRON
ejpam-6981	196	2	∥∥∥∥	∥∥∥∥	NUM
ejpam-6981	196	3	,	,	PUNCT
ejpam-6981	196	4	∥∆3n(t)∥	∥∆3n(t)∥	PROPN
ejpam-6981	196	5	=	=	SYM
ejpam-6981	196	6	∥in(t)−	∥in(t)−	PROPN
ejpam-6981	196	7	in−1(t)∥	in−1(t)∥	PRON
ejpam-6981	197	1	≤	≤	NOUN
ejpam-6981	197	2	2(1−	2(1−	NUM
ejpam-6981	197	3	η	η	NOUN
ejpam-6981	197	4	)	)	PUNCT
ejpam-6981	197	5	(	(	PUNCT
ejpam-6981	197	6	2−	2−	NUM
ejpam-6981	197	7	η)n(η	η)n(η	ADJ
ejpam-6981	197	8	)	)	PUNCT
ejpam-6981	197	9	∥ψ3	∥ψ3	NOUN
ejpam-6981	197	10	(	(	PUNCT
ejpam-6981	197	11	t	t	PROPN
ejpam-6981	197	12	,	,	PUNCT
ejpam-6981	197	13	in−1(t	in−1(t	ADJ
ejpam-6981	197	14	)	)	PUNCT
ejpam-6981	197	15	)	)	PUNCT
ejpam-6981	198	1	−	−	PROPN
ejpam-6981	198	2	ψ3	ψ3	NOUN
ejpam-6981	198	3	(	(	PUNCT
ejpam-6981	198	4	t	t	PROPN
ejpam-6981	198	5	,	,	PUNCT
ejpam-6981	198	6	in−2(t	in−2(t	NOUN
ejpam-6981	198	7	)	)	PUNCT
ejpam-6981	198	8	)	)	PUNCT
ejpam-6981	199	1	∥	∥	PUNCT
ejpam-6981	200	1	+	+	NUM
ejpam-6981	200	2	2η	2η	NUM
ejpam-6981	200	3	(	(	PUNCT
ejpam-6981	200	4	2−	2−	NUM
ejpam-6981	200	5	η)n(η	η)n(η	ADV
ejpam-6981	200	6	)	)	PUNCT
ejpam-6981	201	1	∥∥∥∥∫	∥∥∥∥∫	NOUN
ejpam-6981	201	2	t	t	NOUN
ejpam-6981	201	3	0	0	PUNCT
ejpam-6981	202	1	[	[	PUNCT
ejpam-6981	202	2	ψ3	ψ3	NOUN
ejpam-6981	202	3	(	(	PUNCT
ejpam-6981	202	4	ℵ	ℵ	NOUN
ejpam-6981	202	5	,	,	PUNCT
ejpam-6981	202	6	in−1(ℵ	in−1(ℵ	NOUN
ejpam-6981	202	7	)	)	PUNCT
ejpam-6981	202	8	)	)	PUNCT
ejpam-6981	203	1	−	−	PROPN
ejpam-6981	203	2	ψ3	ψ3	NOUN
ejpam-6981	203	3	(	(	PUNCT
ejpam-6981	203	4	ℵ	ℵ	NOUN
ejpam-6981	203	5	,	,	PUNCT
ejpam-6981	203	6	in−2(ℵ	in−2(ℵ	NOUN
ejpam-6981	203	7	)	)	PUNCT
ejpam-6981	203	8	)	)	PUNCT
ejpam-6981	203	9	]	]	PUNCT
ejpam-6981	204	1	dℵ	dℵ	PRON
ejpam-6981	204	2	∥∥∥∥	∥∥∥∥	NUM
ejpam-6981	204	3	,	,	PUNCT
ejpam-6981	204	4	∥∆4n(t)∥	∥∆4n(t)∥	PROPN
ejpam-6981	204	5	=	=	SYM
ejpam-6981	204	6	∥vn(t)−	∥vn(t)−	PROPN
ejpam-6981	204	7	vn−1(t)∥	vn−1(t)∥	NOUN
ejpam-6981	204	8	≤	≤	NUM
ejpam-6981	204	9	2(1−	2(1−	NUM
ejpam-6981	204	10	η	η	NOUN
ejpam-6981	204	11	)	)	PUNCT
ejpam-6981	204	12	(	(	PUNCT
ejpam-6981	204	13	2−	2−	NUM
ejpam-6981	204	14	η)n(η	η)n(η	ADV
ejpam-6981	204	15	)	)	PUNCT
ejpam-6981	204	16	∥ψ4	∥ψ4	NOUN
ejpam-6981	204	17	(	(	PUNCT
ejpam-6981	204	18	t	t	PROPN
ejpam-6981	204	19	,	,	PUNCT
ejpam-6981	204	20	vn−1(t	vn−1(t	PROPN
ejpam-6981	204	21	)	)	PUNCT
ejpam-6981	204	22	)	)	PUNCT
ejpam-6981	205	1	−	−	PROPN
ejpam-6981	205	2	ψ4	ψ4	PROPN
ejpam-6981	205	3	(	(	PUNCT
ejpam-6981	205	4	t	t	PROPN
ejpam-6981	205	5	,	,	PUNCT
ejpam-6981	205	6	vn−2(t	vn−2(t	NOUN
ejpam-6981	205	7	)	)	PUNCT
ejpam-6981	205	8	)	)	PUNCT
ejpam-6981	206	1	∥	∥	PUNCT
ejpam-6981	207	1	+	+	NUM
ejpam-6981	207	2	2η	2η	NUM
ejpam-6981	207	3	(	(	PUNCT
ejpam-6981	207	4	2−	2−	NUM
ejpam-6981	207	5	η)n(η	η)n(η	ADV
ejpam-6981	207	6	)	)	PUNCT
ejpam-6981	207	7	∥∥∥∥∫	∥∥∥∥∫	NOUN
ejpam-6981	207	8	t	t	NOUN
ejpam-6981	207	9	0	0	PUNCT
ejpam-6981	207	10	[	[	PUNCT
ejpam-6981	207	11	ψ4	ψ4	NOUN
ejpam-6981	207	12	(	(	PUNCT
ejpam-6981	207	13	ℵ	ℵ	NOUN
ejpam-6981	207	14	,	,	PUNCT
ejpam-6981	207	15	vn−1(ℵ	vn−1(ℵ	NOUN
ejpam-6981	207	16	)	)	PUNCT
ejpam-6981	207	17	)	)	PUNCT
ejpam-6981	208	1	−	−	PROPN
ejpam-6981	208	2	ψ4	ψ4	NOUN
ejpam-6981	208	3	(	(	PUNCT
ejpam-6981	208	4	ℵ	ℵ	NOUN
ejpam-6981	208	5	,	,	PUNCT
ejpam-6981	208	6	vn−2(ℵ	vn−2(ℵ	NOUN
ejpam-6981	208	7	)	)	PUNCT
ejpam-6981	208	8	)	)	PUNCT
ejpam-6981	208	9	]	]	PUNCT
ejpam-6981	209	1	dℵ	dℵ	PRON
ejpam-6981	209	2	∥∥∥∥	∥∥∥∥	NUM
ejpam-6981	209	3	,	,	PUNCT
ejpam-6981	209	4	∥∆5n(t)∥	∥∆5n(t)∥	PROPN
ejpam-6981	209	5	=	=	SYM
ejpam-6981	209	6	∥fn(t)−	∥fn(t)−	PROPN
ejpam-6981	209	7	fn−1(t)∥	fn−1(t)∥	NOUN
ejpam-6981	210	1	≤	≤	NUM
ejpam-6981	210	2	2(1−	2(1−	NUM
ejpam-6981	210	3	η	η	NOUN
ejpam-6981	210	4	)	)	PUNCT
ejpam-6981	210	5	(	(	PUNCT
ejpam-6981	210	6	2−	2−	NUM
ejpam-6981	210	7	η)n(η	η)n(η	ADV
ejpam-6981	210	8	)	)	PUNCT
ejpam-6981	210	9	∥ψ5	∥ψ5	PUNCT
ejpam-6981	211	1	(	(	PUNCT
ejpam-6981	211	2	t	t	PROPN
ejpam-6981	211	3	,	,	PUNCT
ejpam-6981	211	4	fn−1(t	fn−1(t	PROPN
ejpam-6981	211	5	)	)	PUNCT
ejpam-6981	211	6	)	)	PUNCT
ejpam-6981	212	1	−	−	PROPN
ejpam-6981	212	2	ψ5	ψ5	PROPN
ejpam-6981	212	3	(	(	PUNCT
ejpam-6981	212	4	t	t	PROPN
ejpam-6981	212	5	,	,	PUNCT
ejpam-6981	212	6	fn−2(t	fn−2(t	PROPN
ejpam-6981	212	7	)	)	PUNCT
ejpam-6981	212	8	)	)	PUNCT
ejpam-6981	213	1	∥	∥	PUNCT
ejpam-6981	214	1	+	+	NUM
ejpam-6981	214	2	2η	2η	NUM
ejpam-6981	214	3	(	(	PUNCT
ejpam-6981	214	4	2−	2−	NUM
ejpam-6981	214	5	η)n(η	η)n(η	ADV
ejpam-6981	214	6	)	)	PUNCT
ejpam-6981	215	1	∥∥∥∥∫	∥∥∥∥∫	NOUN
ejpam-6981	215	2	t	t	NOUN
ejpam-6981	215	3	0	0	NUM
ejpam-6981	216	1	[	[	PUNCT
ejpam-6981	216	2	ψ5	ψ5	PROPN
ejpam-6981	216	3	(	(	PUNCT
ejpam-6981	216	4	ℵ	ℵ	NOUN
ejpam-6981	216	5	,	,	PUNCT
ejpam-6981	216	6	fn−1(ℵ	fn−1(ℵ	NOUN
ejpam-6981	216	7	)	)	PUNCT
ejpam-6981	216	8	)	)	PUNCT
ejpam-6981	217	1	−	−	PROPN
ejpam-6981	217	2	ψ5	ψ5	NOUN
ejpam-6981	217	3	(	(	PUNCT
ejpam-6981	217	4	ℵ	ℵ	NOUN
ejpam-6981	217	5	,	,	PUNCT
ejpam-6981	217	6	fn−2(ℵ	fn−2(ℵ	NOUN
ejpam-6981	217	7	)	)	PUNCT
ejpam-6981	217	8	)	)	PUNCT
ejpam-6981	217	9	]	]	PUNCT
ejpam-6981	218	1	dℵ	dℵ	PRON
ejpam-6981	218	2	∥∥∥∥	∥∥∥∥	NUM
ejpam-6981	218	3	,	,	PUNCT
ejpam-6981	218	4	∥∆6n(t)∥	∥∆6n(t)∥	PROPN
ejpam-6981	218	5	=	=	NUM
ejpam-6981	218	6	∥qn(t)−qn−1(t)∥	∥qn(t)−qn−1(t)∥	PROPN
ejpam-6981	218	7	≤	≤	ADV
ejpam-6981	218	8	2(1−	2(1−	NUM
ejpam-6981	218	9	η	η	NOUN
ejpam-6981	218	10	)	)	PUNCT
ejpam-6981	218	11	(	(	PUNCT
ejpam-6981	218	12	2−	2−	NUM
ejpam-6981	218	13	η)n(η	η)n(η	ADV
ejpam-6981	218	14	)	)	PUNCT
ejpam-6981	218	15	∥ψ6	∥ψ6	NOUN
ejpam-6981	218	16	(	(	PUNCT
ejpam-6981	218	17	t	t	PROPN
ejpam-6981	218	18	,	,	PUNCT
ejpam-6981	218	19	qn−1(t	qn−1(t	PROPN
ejpam-6981	218	20	)	)	PUNCT
ejpam-6981	218	21	)	)	PUNCT
ejpam-6981	219	1	−	−	PROPN
ejpam-6981	219	2	ψ6	ψ6	NOUN
ejpam-6981	219	3	(	(	PUNCT
ejpam-6981	219	4	t	t	PROPN
ejpam-6981	219	5	,	,	PUNCT
ejpam-6981	219	6	qn−2(t	qn−2(t	PROPN
ejpam-6981	219	7	)	)	PUNCT
ejpam-6981	219	8	)	)	PUNCT
ejpam-6981	219	9	∥	∥	PUNCT
ejpam-6981	220	1	+	+	NUM
ejpam-6981	220	2	2η	2η	NUM
ejpam-6981	220	3	(	(	PUNCT
ejpam-6981	220	4	2−	2−	NUM
ejpam-6981	220	5	η)n(η	η)n(η	ADV
ejpam-6981	220	6	)	)	PUNCT
ejpam-6981	221	1	∥∥∥∥∫	∥∥∥∥∫	NOUN
ejpam-6981	221	2	t	t	NOUN
ejpam-6981	221	3	0	0	NUM
ejpam-6981	221	4	[	[	PUNCT
ejpam-6981	221	5	ψ6	ψ6	X
ejpam-6981	221	6	(	(	PUNCT
ejpam-6981	221	7	ℵ	ℵ	NOUN
ejpam-6981	221	8	,	,	PUNCT
ejpam-6981	221	9	qn−1(ℵ	qn−1(ℵ	NOUN
ejpam-6981	221	10	)	)	PUNCT
ejpam-6981	221	11	)	)	PUNCT
ejpam-6981	222	1	−	−	PROPN
ejpam-6981	222	2	ψ6	ψ6	NOUN
ejpam-6981	222	3	(	(	PUNCT
ejpam-6981	222	4	ℵ	ℵ	NOUN
ejpam-6981	222	5	,	,	PUNCT
ejpam-6981	222	6	qn−2(ℵ	qn−2(ℵ	NOUN
ejpam-6981	222	7	)	)	PUNCT
ejpam-6981	222	8	)	)	PUNCT
ejpam-6981	222	9	]	]	PUNCT
ejpam-6981	223	1	dℵ	dℵ	PRON
ejpam-6981	223	2	∥∥∥∥	∥∥∥∥	NUM
ejpam-6981	223	3	,	,	PUNCT
ejpam-6981	223	4	(	(	PUNCT
ejpam-6981	223	5	4.5	4.5	NUM
ejpam-6981	223	6	)	)	PUNCT
ejpam-6981	223	7	un(t	un(t	NOUN
ejpam-6981	223	8	)	)	PUNCT
ejpam-6981	223	9	=	=	PUNCT
ejpam-6981	224	1	∞∑	∞∑	NUM
ejpam-6981	224	2	j=0	j=0	PROPN
ejpam-6981	224	3	∆1j(t	∆1j(t	PROPN
ejpam-6981	224	4	)	)	PUNCT
ejpam-6981	224	5	,	,	PUNCT
ejpam-6981	224	6	en(t	en(t	PRON
ejpam-6981	224	7	)	)	PUNCT
ejpam-6981	224	8	=	=	PUNCT
ejpam-6981	225	1	∞∑	∞∑	NUM
ejpam-6981	225	2	j=0	j=0	PROPN
ejpam-6981	225	3	∆2j(t	∆2j(t	PROPN
ejpam-6981	225	4	)	)	PUNCT
ejpam-6981	225	5	,	,	PUNCT
ejpam-6981	225	6	in(t	in(t	NUM
ejpam-6981	225	7	)	)	PUNCT
ejpam-6981	225	8	=	=	PUNCT
ejpam-6981	226	1	∞∑	∞∑	NUM
ejpam-6981	226	2	j=0	j=0	PROPN
ejpam-6981	226	3	∆3j(t	∆3j(t	PROPN
ejpam-6981	226	4	)	)	PUNCT
ejpam-6981	226	5	,	,	PUNCT
ejpam-6981	226	6	vn(t	vn(t	PUNCT
ejpam-6981	226	7	)	)	PUNCT
ejpam-6981	226	8	=	=	PUNCT
ejpam-6981	227	1	∞∑	∞∑	NUM
ejpam-6981	227	2	j=0	j=0	PROPN
ejpam-6981	227	3	∆4j(t	∆4j(t	PROPN
ejpam-6981	227	4	)	)	PUNCT
ejpam-6981	227	5	,	,	PUNCT
ejpam-6981	227	6	fn(t	fn(t	PUNCT
ejpam-6981	227	7	)	)	PUNCT
ejpam-6981	227	8	=	=	PUNCT
ejpam-6981	228	1	∞∑	∞∑	NUM
ejpam-6981	228	2	j=0	j=0	PROPN
ejpam-6981	228	3	∆5j(t	∆5j(t	PROPN
ejpam-6981	228	4	)	)	PUNCT
ejpam-6981	228	5	,	,	PUNCT
ejpam-6981	228	6	qn(t	qn(t	NUM
ejpam-6981	228	7	)	)	PUNCT
ejpam-6981	228	8	=	=	PUNCT
ejpam-6981	229	1	∞∑	∞∑	NUM
ejpam-6981	229	2	j=0	j=0	PROPN
ejpam-6981	229	3	∆6j(t	∆6j(t	PROPN
ejpam-6981	229	4	)	)	PUNCT
ejpam-6981	229	5	.	.	PUNCT
ejpam-6981	230	1	(	(	PUNCT
ejpam-6981	230	2	4.6	4.6	NUM
ejpam-6981	230	3	)	)	PUNCT
ejpam-6981	230	4	a.	a.	NOUN
ejpam-6981	230	5	shaikh	shaikh	PROPN
ejpam-6981	230	6	,	,	PUNCT
ejpam-6981	230	7	s.	s.	PROPN
ejpam-6981	230	8	howal	howal	PROPN
ejpam-6981	230	9	,	,	PUNCT
ejpam-6981	230	10	k.	k.	PROPN
ejpam-6981	230	11	s.	s.	PROPN
ejpam-6981	230	12	nisar	nisar	PROPN
ejpam-6981	230	13	/	/	SYM
ejpam-6981	230	14	eur	eur	PROPN
ejpam-6981	230	15	.	.	PUNCT
ejpam-6981	231	1	j.	j.	PROPN
ejpam-6981	231	2	pure	pure	PROPN
ejpam-6981	231	3	appl	appl	PROPN
ejpam-6981	231	4	.	.	PROPN
ejpam-6981	231	5	math	math	PROPN
ejpam-6981	231	6	,	,	PUNCT
ejpam-6981	231	7	18	18	NUM
ejpam-6981	231	8	(	(	PUNCT
ejpam-6981	231	9	4	4	NUM
ejpam-6981	231	10	)	)	PUNCT
ejpam-6981	231	11	(	(	PUNCT
ejpam-6981	231	12	2025	2025	NUM
ejpam-6981	231	13	)	)	PUNCT
ejpam-6981	231	14	,	,	PUNCT
ejpam-6981	231	15	6981	6981	NUM
ejpam-6981	231	16	9	9	NUM
ejpam-6981	231	17	since	since	SCONJ
ejpam-6981	231	18	the	the	DET
ejpam-6981	231	19	kernels	kernel	NOUN
ejpam-6981	231	20	ψ1	ψ1	NOUN
ejpam-6981	231	21	,	,	PUNCT
ejpam-6981	231	22	ψ2	ψ2	NOUN
ejpam-6981	231	23	,	,	PUNCT
ejpam-6981	231	24	ψ3	ψ3	NOUN
ejpam-6981	231	25	,	,	PUNCT
ejpam-6981	231	26	ψ4	ψ4	NOUN
ejpam-6981	231	27	,	,	PUNCT
ejpam-6981	231	28	ψ5	ψ5	NOUN
ejpam-6981	231	29	and	and	CCONJ
ejpam-6981	231	30	ψ6	ψ6	PROPN
ejpam-6981	231	31	fulfils	fulfil	VERB
ejpam-6981	231	32	the	the	DET
ejpam-6981	231	33	lipschitz	lipschitz	NOUN
ejpam-6981	231	34	condition	condition	NOUN
ejpam-6981	231	35	,	,	PUNCT
ejpam-6981	231	36	we	we	PRON
ejpam-6981	231	37	get	get	VERB
ejpam-6981	231	38	∥∆1n(t)∥	∥∆1n(t)∥	NOUN
ejpam-6981	231	39	=	=	SYM
ejpam-6981	231	40	∥un(t)−	∥un(t)−	NOUN
ejpam-6981	231	41	un−1(t)∥	un−1(t)∥	NOUN
ejpam-6981	232	1	≤	≤	PROPN
ejpam-6981	232	2	2(1−	2(1−	NUM
ejpam-6981	232	3	η	η	NOUN
ejpam-6981	232	4	)	)	PUNCT
ejpam-6981	232	5	(	(	PUNCT
ejpam-6981	232	6	2−	2−	NUM
ejpam-6981	232	7	η)n(η	η)n(η	ADV
ejpam-6981	232	8	)	)	PUNCT
ejpam-6981	232	9	λ1∥un−1(t)−	λ1∥un−1(t)−	X
ejpam-6981	233	1	un−2(t)∥	un−2(t)∥	ADP
ejpam-6981	233	2	+	+	NUM
ejpam-6981	233	3	2η	2η	NUM
ejpam-6981	233	4	(	(	PUNCT
ejpam-6981	233	5	2−	2−	NUM
ejpam-6981	233	6	η)n(η	η)n(η	ADV
ejpam-6981	233	7	)	)	PUNCT
ejpam-6981	234	1	λ1	λ1	PROPN
ejpam-6981	234	2	∫	∫	PROPN
ejpam-6981	234	3	t	t	PROPN
ejpam-6981	234	4	0	0	NUM
ejpam-6981	234	5	∥un−1(ℵ)−	∥un−1(ℵ)−	ADP
ejpam-6981	234	6	un−2(ℵ)∥dℵ	un−2(ℵ)∥dℵ	NOUN
ejpam-6981	234	7	,	,	PUNCT
ejpam-6981	234	8	∥∆2n(t)∥	∥∆2n(t)∥	PROPN
ejpam-6981	234	9	=	=	SYM
ejpam-6981	234	10	∥en(t)−	∥en(t)−	PROPN
ejpam-6981	234	11	en−1(t)∥	en−1(t)∥	NOUN
ejpam-6981	234	12	≤	≤	NUM
ejpam-6981	234	13	2(1−	2(1−	NUM
ejpam-6981	234	14	η	η	NOUN
ejpam-6981	234	15	)	)	PUNCT
ejpam-6981	234	16	(	(	PUNCT
ejpam-6981	234	17	2−	2−	NUM
ejpam-6981	234	18	η)n(η	η)n(η	ADV
ejpam-6981	234	19	)	)	PUNCT
ejpam-6981	234	20	λ2∥en−1(t)−	λ2∥en−1(t)−	PROPN
ejpam-6981	234	21	en−2(t)∥	en−2(t)∥	PROPN
ejpam-6981	235	1	+	+	NUM
ejpam-6981	235	2	2η	2η	PROPN
ejpam-6981	235	3	(	(	PUNCT
ejpam-6981	235	4	2−	2−	NUM
ejpam-6981	235	5	η)n(η	η)n(η	ADV
ejpam-6981	235	6	)	)	PUNCT
ejpam-6981	236	1	λ2	λ2	NOUN
ejpam-6981	236	2	∫	∫	PROPN
ejpam-6981	236	3	t	t	PROPN
ejpam-6981	236	4	0	0	NUM
ejpam-6981	236	5	∥en−1(ℵ)−	∥en−1(ℵ)−	NUM
ejpam-6981	236	6	en−2(ℵ)∥dℵ	en−2(ℵ)∥dℵ	NOUN
ejpam-6981	236	7	,	,	PUNCT
ejpam-6981	236	8	∥∆3n(t)∥	∥∆3n(t)∥	PROPN
ejpam-6981	236	9	=	=	SYM
ejpam-6981	236	10	∥in(t)−	∥in(t)−	PROPN
ejpam-6981	236	11	in−1(t)∥	in−1(t)∥	PRON
ejpam-6981	237	1	≤	≤	NOUN
ejpam-6981	237	2	2(1−	2(1−	NUM
ejpam-6981	237	3	η	η	NOUN
ejpam-6981	237	4	)	)	PUNCT
ejpam-6981	237	5	(	(	PUNCT
ejpam-6981	237	6	2−	2−	NUM
ejpam-6981	237	7	η)n(η	η)n(η	ADV
ejpam-6981	237	8	)	)	PUNCT
ejpam-6981	237	9	λ3∥in−1(t)−	λ3∥in−1(t)−	PUNCT
ejpam-6981	238	1	in−2(t)∥	in−2(t)∥	NOUN
ejpam-6981	239	1	+	+	NUM
ejpam-6981	240	1	2η	2η	PROPN
ejpam-6981	240	2	(	(	PUNCT
ejpam-6981	240	3	2−	2−	NUM
ejpam-6981	240	4	η)n(η	η)n(η	ADV
ejpam-6981	240	5	)	)	PUNCT
ejpam-6981	241	1	λ3	λ3	PROPN
ejpam-6981	241	2	∫	∫	PROPN
ejpam-6981	241	3	t	t	PROPN
ejpam-6981	241	4	0	0	NUM
ejpam-6981	241	5	∥in−1(ℵ)−	∥in−1(ℵ)−	NOUN
ejpam-6981	241	6	in−2(ℵ)∥dℵ	in−2(ℵ)∥dℵ	NOUN
ejpam-6981	241	7	,	,	PUNCT
ejpam-6981	241	8	∥∆4n(t)∥	∥∆4n(t)∥	PROPN
ejpam-6981	241	9	=	=	SYM
ejpam-6981	241	10	∥vn(t)−	∥vn(t)−	PROPN
ejpam-6981	241	11	vn−1(t)∥	vn−1(t)∥	NOUN
ejpam-6981	241	12	≤	≤	NUM
ejpam-6981	241	13	2(1−	2(1−	NUM
ejpam-6981	241	14	η	η	NOUN
ejpam-6981	241	15	)	)	PUNCT
ejpam-6981	241	16	(	(	PUNCT
ejpam-6981	241	17	2−	2−	NUM
ejpam-6981	241	18	η)n(η	η)n(η	ADJ
ejpam-6981	241	19	)	)	PUNCT
ejpam-6981	241	20	λ4∥vn−1(t)−	λ4∥vn−1(t)−	NOUN
ejpam-6981	241	21	vn−2(t)∥	vn−2(t)∥	X
ejpam-6981	242	1	+	+	ADJ
ejpam-6981	242	2	2η	2η	NUM
ejpam-6981	242	3	(	(	PUNCT
ejpam-6981	242	4	2−	2−	NUM
ejpam-6981	242	5	η)n(η	η)n(η	ADV
ejpam-6981	242	6	)	)	PUNCT
ejpam-6981	243	1	λ4	λ4	PROPN
ejpam-6981	243	2	∫	∫	PROPN
ejpam-6981	243	3	t	t	PROPN
ejpam-6981	243	4	0	0	NUM
ejpam-6981	243	5	∥vn−1(ℵ)−	∥vn−1(ℵ)−	X
ejpam-6981	243	6	vn−2(ℵ)∥dℵ	vn−2(ℵ)∥dℵ	NOUN
ejpam-6981	243	7	,	,	PUNCT
ejpam-6981	243	8	∥∆5n(t)∥	∥∆5n(t)∥	PROPN
ejpam-6981	243	9	=	=	SYM
ejpam-6981	243	10	∥fn(t)−	∥fn(t)−	PROPN
ejpam-6981	243	11	fn−1(t)∥	fn−1(t)∥	NOUN
ejpam-6981	243	12	≤	≤	NUM
ejpam-6981	243	13	2(1−	2(1−	NUM
ejpam-6981	243	14	η	η	NOUN
ejpam-6981	243	15	)	)	PUNCT
ejpam-6981	243	16	(	(	PUNCT
ejpam-6981	243	17	2−	2−	NUM
ejpam-6981	243	18	η)n(η	η)n(η	ADV
ejpam-6981	243	19	)	)	PUNCT
ejpam-6981	243	20	λ5∥fn−1(t)−	λ5∥fn−1(t)−	X
ejpam-6981	243	21	fn−2(t)∥	fn−2(t)∥	PROPN
ejpam-6981	244	1	+	+	CCONJ
ejpam-6981	244	2	2η	2η	NUM
ejpam-6981	244	3	(	(	PUNCT
ejpam-6981	244	4	2−	2−	NUM
ejpam-6981	244	5	η)n(η	η)n(η	ADV
ejpam-6981	244	6	)	)	PUNCT
ejpam-6981	244	7	λ5	λ5	NOUN
ejpam-6981	244	8	∫	∫	PROPN
ejpam-6981	244	9	t	t	PROPN
ejpam-6981	244	10	0	0	NUM
ejpam-6981	244	11	∥fn−1(ℵ)−	∥fn−1(ℵ)−	NOUN
ejpam-6981	244	12	fn−2(ℵ)∥dℵ	fn−2(ℵ)∥dℵ	NOUN
ejpam-6981	244	13	,	,	PUNCT
ejpam-6981	244	14	∥∆6n(t)∥	∥∆6n(t)∥	PROPN
ejpam-6981	244	15	=	=	NUM
ejpam-6981	244	16	∥qn(t)−qn−1(t)∥	∥qn(t)−qn−1(t)∥	PROPN
ejpam-6981	244	17	≤	≤	ADV
ejpam-6981	244	18	2(1−	2(1−	NUM
ejpam-6981	244	19	η	η	NOUN
ejpam-6981	244	20	)	)	PUNCT
ejpam-6981	244	21	(	(	PUNCT
ejpam-6981	244	22	2−	2−	NUM
ejpam-6981	244	23	η)n(η	η)n(η	ADV
ejpam-6981	244	24	)	)	PUNCT
ejpam-6981	245	1	λ6∥qn−1(t)−qn−2(t)∥	λ6∥qn−1(t)−qn−2(t)∥	PROPN
ejpam-6981	245	2	+	+	NUM
ejpam-6981	245	3	2η	2η	PROPN
ejpam-6981	245	4	(	(	PUNCT
ejpam-6981	245	5	2−	2−	NUM
ejpam-6981	245	6	η)n(η	η)n(η	ADV
ejpam-6981	245	7	)	)	PUNCT
ejpam-6981	245	8	λ6	λ6	PROPN
ejpam-6981	245	9	∫	∫	PROPN
ejpam-6981	245	10	t	t	PROPN
ejpam-6981	245	11	0	0	NUM
ejpam-6981	245	12	∥qn−1(ℵ)−qn−2(ℵ)∥dℵ	∥qn−1(ℵ)−qn−2(ℵ)∥dℵ	NUM
ejpam-6981	245	13	,	,	PUNCT
ejpam-6981	245	14	(	(	PUNCT
ejpam-6981	245	15	4.7	4.7	NUM
ejpam-6981	245	16	)	)	PUNCT
ejpam-6981	245	17	it	it	PRON
ejpam-6981	245	18	validates	validate	VERB
ejpam-6981	245	19	the	the	DET
ejpam-6981	245	20	outcome	outcome	NOUN
ejpam-6981	245	21	.	.	PUNCT
ejpam-6981	246	1	theorem	theorem	ADJ
ejpam-6981	246	2	1	1	NUM
ejpam-6981	246	3	.	.	PUNCT
ejpam-6981	246	4	prove	prove	VERB
ejpam-6981	246	5	that	that	SCONJ
ejpam-6981	246	6	the	the	DET
ejpam-6981	246	7	system	system	NOUN
ejpam-6981	246	8	(	(	PUNCT
ejpam-6981	246	9	2.1	2.1	NUM
ejpam-6981	246	10	)	)	PUNCT
ejpam-6981	246	11	admits	admit	VERB
ejpam-6981	246	12	solution	solution	NOUN
ejpam-6981	246	13	.	.	PUNCT
ejpam-6981	247	1	proof	proof	NOUN
ejpam-6981	247	2	.	.	PUNCT
ejpam-6981	248	1	we	we	PRON
ejpam-6981	248	2	have	have	AUX
ejpam-6981	248	3	arrived	arrive	VERB
ejpam-6981	248	4	at	at	ADP
ejpam-6981	248	5	the	the	DET
ejpam-6981	248	6	following	following	NOUN
ejpam-6981	248	7	using	use	VERB
ejpam-6981	248	8	the	the	DET
ejpam-6981	248	9	equation	equation	NOUN
ejpam-6981	248	10	(	(	PUNCT
ejpam-6981	248	11	4.7	4.7	NUM
ejpam-6981	248	12	)	)	PUNCT
ejpam-6981	248	13	and	and	CCONJ
ejpam-6981	248	14	in	in	ADP
ejpam-6981	248	15	accordance	accordance	NOUN
ejpam-6981	248	16	with	with	ADP
ejpam-6981	248	17	the	the	DET
ejpam-6981	248	18	recursive	recursive	ADJ
ejpam-6981	248	19	formula	formula	NOUN
ejpam-6981	248	20	:	:	PUNCT
ejpam-6981	248	21	∥∆n	∥∆n	NOUN
ejpam-6981	248	22	1	1	NUM
ejpam-6981	248	23	(	(	PUNCT
ejpam-6981	248	24	t)∥	t)∥	ADJ
ejpam-6981	248	25	≤	≤	ADJ
ejpam-6981	248	26	∥u(0)∥+	∥u(0)∥+	NOUN
ejpam-6981	248	27	[	[	X
ejpam-6981	248	28	(	(	PUNCT
ejpam-6981	248	29	2(1−	2(1−	NUM
ejpam-6981	248	30	η	η	NOUN
ejpam-6981	248	31	)	)	PUNCT
ejpam-6981	248	32	(	(	PUNCT
ejpam-6981	248	33	2−	2−	NUM
ejpam-6981	248	34	η)n(η	η)n(η	ADV
ejpam-6981	248	35	)	)	PUNCT
ejpam-6981	248	36	λ1	λ1	ADJ
ejpam-6981	248	37	)	)	PUNCT
ejpam-6981	249	1	+	+	CCONJ
ejpam-6981	249	2	(	(	PUNCT
ejpam-6981	249	3	2η	2η	NUM
ejpam-6981	249	4	(	(	PUNCT
ejpam-6981	249	5	2−	2−	NUM
ejpam-6981	249	6	η)n(η	η)n(η	ADV
ejpam-6981	249	7	)	)	PUNCT
ejpam-6981	249	8	λ1	λ1	PROPN
ejpam-6981	249	9	t	t	PROPN
ejpam-6981	249	10	)	)	PUNCT
ejpam-6981	249	11	]	]	PUNCT
ejpam-6981	249	12	n	n	CCONJ
ejpam-6981	249	13	,	,	PUNCT
ejpam-6981	249	14	∥∆n	∥∆n	X
ejpam-6981	249	15	2	2	NUM
ejpam-6981	249	16	(	(	PUNCT
ejpam-6981	249	17	t)∥	t)∥	NUM
ejpam-6981	249	18	≤	≤	X
ejpam-6981	249	19	∥e(0)∥+	∥e(0)∥+	ADJ
ejpam-6981	249	20	[	[	X
ejpam-6981	249	21	(	(	PUNCT
ejpam-6981	249	22	2(1−	2(1−	NUM
ejpam-6981	249	23	η	η	NOUN
ejpam-6981	249	24	)	)	PUNCT
ejpam-6981	249	25	(	(	PUNCT
ejpam-6981	249	26	2−	2−	NUM
ejpam-6981	249	27	η)n(η	η)n(η	ADV
ejpam-6981	249	28	)	)	PUNCT
ejpam-6981	249	29	λ2	λ2	NOUN
ejpam-6981	249	30	)	)	PUNCT
ejpam-6981	250	1	+	+	CCONJ
ejpam-6981	250	2	(	(	PUNCT
ejpam-6981	250	3	2η	2η	NUM
ejpam-6981	250	4	(	(	PUNCT
ejpam-6981	250	5	2−	2−	NUM
ejpam-6981	250	6	η)n(η	η)n(η	ADV
ejpam-6981	250	7	)	)	PUNCT
ejpam-6981	250	8	λ2	λ2	PROPN
ejpam-6981	250	9	t	t	PROPN
ejpam-6981	250	10	)	)	PUNCT
ejpam-6981	250	11	]	]	PUNCT
ejpam-6981	250	12	n	n	CCONJ
ejpam-6981	250	13	,	,	PUNCT
ejpam-6981	250	14	∥∆n	∥∆n	NOUN
ejpam-6981	250	15	3	3	NUM
ejpam-6981	250	16	(	(	PUNCT
ejpam-6981	250	17	t)∥	t)∥	NUM
ejpam-6981	250	18	≤	≤	X
ejpam-6981	250	19	∥i(0)∥+	∥i(0)∥+	ADJ
ejpam-6981	250	20	[	[	X
ejpam-6981	250	21	(	(	PUNCT
ejpam-6981	250	22	2(1−	2(1−	NUM
ejpam-6981	250	23	η	η	NOUN
ejpam-6981	250	24	)	)	PUNCT
ejpam-6981	250	25	(	(	PUNCT
ejpam-6981	250	26	2−	2−	NUM
ejpam-6981	250	27	η)n(η	η)n(η	ADV
ejpam-6981	250	28	)	)	PUNCT
ejpam-6981	250	29	λ3	λ3	PROPN
ejpam-6981	250	30	)	)	PUNCT
ejpam-6981	251	1	+	+	CCONJ
ejpam-6981	251	2	(	(	PUNCT
ejpam-6981	251	3	2η	2η	NUM
ejpam-6981	251	4	(	(	PUNCT
ejpam-6981	251	5	2−	2−	NUM
ejpam-6981	251	6	η)n(η	η)n(η	ADV
ejpam-6981	251	7	)	)	PUNCT
ejpam-6981	252	1	λ3	λ3	PROPN
ejpam-6981	252	2	t	t	PROPN
ejpam-6981	252	3	)	)	PUNCT
ejpam-6981	253	1	]	]	PUNCT
ejpam-6981	253	2	n	n	CCONJ
ejpam-6981	253	3	,	,	PUNCT
ejpam-6981	253	4	∥∆n	∥∆n	VERB
ejpam-6981	253	5	4	4	NUM
ejpam-6981	253	6	(	(	PUNCT
ejpam-6981	253	7	t)∥	t)∥	NOUN
ejpam-6981	253	8	≤	≤	NUM
ejpam-6981	253	9	∥v	∥v	NOUN
ejpam-6981	253	10	(	(	PUNCT
ejpam-6981	253	11	0)∥+	0)∥+	NOUN
ejpam-6981	253	12	[	[	X
ejpam-6981	253	13	(	(	PUNCT
ejpam-6981	253	14	2(1−	2(1−	NUM
ejpam-6981	253	15	η	η	NOUN
ejpam-6981	253	16	)	)	PUNCT
ejpam-6981	253	17	(	(	PUNCT
ejpam-6981	253	18	2−	2−	NUM
ejpam-6981	253	19	η)n(η	η)n(η	ADV
ejpam-6981	253	20	)	)	PUNCT
ejpam-6981	253	21	λ4	λ4	ADV
ejpam-6981	253	22	)	)	PUNCT
ejpam-6981	254	1	+	+	CCONJ
ejpam-6981	254	2	(	(	PUNCT
ejpam-6981	254	3	2η	2η	NUM
ejpam-6981	254	4	(	(	PUNCT
ejpam-6981	254	5	2−	2−	NUM
ejpam-6981	254	6	η)n(η	η)n(η	ADV
ejpam-6981	254	7	)	)	PUNCT
ejpam-6981	255	1	λ4	λ4	PROPN
ejpam-6981	255	2	t	t	PROPN
ejpam-6981	255	3	)	)	PUNCT
ejpam-6981	256	1	]	]	PUNCT
ejpam-6981	256	2	n	n	CCONJ
ejpam-6981	256	3	,	,	PUNCT
ejpam-6981	256	4	∥∆n	∥∆n	X
ejpam-6981	256	5	5	5	NUM
ejpam-6981	256	6	(	(	PUNCT
ejpam-6981	256	7	t)∥	t)∥	NUM
ejpam-6981	256	8	≤	≤	NUM
ejpam-6981	257	1	∥f	∥f	PROPN
ejpam-6981	257	2	(	(	PUNCT
ejpam-6981	257	3	0)∥+	0)∥+	NOUN
ejpam-6981	257	4	[	[	X
ejpam-6981	257	5	(	(	PUNCT
ejpam-6981	257	6	2(1−	2(1−	NUM
ejpam-6981	257	7	η	η	NOUN
ejpam-6981	257	8	)	)	PUNCT
ejpam-6981	257	9	(	(	PUNCT
ejpam-6981	257	10	2−	2−	NUM
ejpam-6981	257	11	η)n(η	η)n(η	ADV
ejpam-6981	257	12	)	)	PUNCT
ejpam-6981	257	13	λ5	λ5	NOUN
ejpam-6981	257	14	)	)	PUNCT
ejpam-6981	257	15	+	+	CCONJ
ejpam-6981	257	16	(	(	PUNCT
ejpam-6981	257	17	2η	2η	NUM
ejpam-6981	257	18	(	(	PUNCT
ejpam-6981	257	19	2−	2−	NUM
ejpam-6981	257	20	η)n(η	η)n(η	ADV
ejpam-6981	257	21	)	)	PUNCT
ejpam-6981	257	22	λ5	λ5	VERB
ejpam-6981	257	23	t	t	NOUN
ejpam-6981	257	24	)	)	PUNCT
ejpam-6981	257	25	]	]	SYM
ejpam-6981	257	26	n	n	X
ejpam-6981	257	27	,	,	PUNCT
ejpam-6981	257	28	a.	a.	NOUN
ejpam-6981	257	29	shaikh	shaikh	PROPN
ejpam-6981	257	30	,	,	PUNCT
ejpam-6981	257	31	s.	s.	PROPN
ejpam-6981	257	32	howal	howal	PROPN
ejpam-6981	257	33	,	,	PUNCT
ejpam-6981	257	34	k.	k.	PROPN
ejpam-6981	257	35	s.	s.	PROPN
ejpam-6981	257	36	nisar	nisar	PROPN
ejpam-6981	257	37	/	/	SYM
ejpam-6981	257	38	eur	eur	PROPN
ejpam-6981	257	39	.	.	PUNCT
ejpam-6981	258	1	j.	j.	PROPN
ejpam-6981	258	2	pure	pure	PROPN
ejpam-6981	258	3	appl	appl	PROPN
ejpam-6981	258	4	.	.	PROPN
ejpam-6981	258	5	math	math	PROPN
ejpam-6981	258	6	,	,	PUNCT
ejpam-6981	258	7	18	18	NUM
ejpam-6981	258	8	(	(	PUNCT
ejpam-6981	258	9	4	4	NUM
ejpam-6981	258	10	)	)	PUNCT
ejpam-6981	258	11	(	(	PUNCT
ejpam-6981	258	12	2025	2025	NUM
ejpam-6981	258	13	)	)	PUNCT
ejpam-6981	258	14	,	,	PUNCT
ejpam-6981	258	15	6981	6981	NUM
ejpam-6981	258	16	10	10	NUM
ejpam-6981	258	17	∥∆n	∥∆n	NOUN
ejpam-6981	258	18	6	6	NUM
ejpam-6981	258	19	(	(	PUNCT
ejpam-6981	258	20	t)∥	t)∥	NUM
ejpam-6981	258	21	≤	≤	NOUN
ejpam-6981	258	22	∥q(0)∥+	∥q(0)∥+	ADV
ejpam-6981	259	1	[	[	X
ejpam-6981	259	2	(	(	PUNCT
ejpam-6981	259	3	2(1−	2(1−	NUM
ejpam-6981	259	4	η	η	NOUN
ejpam-6981	259	5	)	)	PUNCT
ejpam-6981	259	6	(	(	PUNCT
ejpam-6981	259	7	2−	2−	NUM
ejpam-6981	259	8	η)n(η	η)n(η	ADV
ejpam-6981	259	9	)	)	PUNCT
ejpam-6981	259	10	λ6	λ6	NOUN
ejpam-6981	259	11	)	)	PUNCT
ejpam-6981	260	1	+	+	CCONJ
ejpam-6981	260	2	(	(	PUNCT
ejpam-6981	260	3	2η	2η	NUM
ejpam-6981	260	4	(	(	PUNCT
ejpam-6981	260	5	2−	2−	NUM
ejpam-6981	260	6	η)n(η	η)n(η	ADV
ejpam-6981	260	7	)	)	PUNCT
ejpam-6981	260	8	λ6	λ6	PROPN
ejpam-6981	260	9	t	t	PROPN
ejpam-6981	260	10	)	)	PUNCT
ejpam-6981	260	11	]	]	X
ejpam-6981	260	12	n	n	X
ejpam-6981	260	13	.	.	PUNCT
ejpam-6981	261	1	(	(	PUNCT
ejpam-6981	261	2	4.8	4.8	NUM
ejpam-6981	261	3	)	)	PUNCT
ejpam-6981	261	4	the	the	DET
ejpam-6981	261	5	recursive	recursive	ADJ
ejpam-6981	261	6	inequalities	inequality	NOUN
ejpam-6981	261	7	(	(	PUNCT
ejpam-6981	261	8	4.8	4.8	NUM
ejpam-6981	261	9	)	)	PUNCT
ejpam-6981	261	10	can	can	AUX
ejpam-6981	261	11	be	be	AUX
ejpam-6981	261	12	written	write	VERB
ejpam-6981	261	13	an	an	DET
ejpam-6981	261	14	∥∆n	∥∆n	NOUN
ejpam-6981	261	15	i	i	PRON
ejpam-6981	261	16	(	(	PUNCT
ejpam-6981	261	17	t)∥	t)∥	X
ejpam-6981	261	18	≤	≤	X
ejpam-6981	261	19	∥xi(0)∥+	∥xi(0)∥+	NOUN
ejpam-6981	261	20	[	[	PUNCT
ejpam-6981	261	21	(	(	PUNCT
ejpam-6981	261	22	2−	2−	NUM
ejpam-6981	261	23	η)n(η	η)n(η	ADV
ejpam-6981	261	24	)	)	PUNCT
ejpam-6981	262	1	2(1−	2(1−	PROPN
ejpam-6981	262	2	η	η	X
ejpam-6981	262	3	)	)	PUNCT
ejpam-6981	262	4	λi	λi	X
ejpam-6981	262	5	+	+	X
ejpam-6981	262	6	(	(	PUNCT
ejpam-6981	262	7	2−	2−	NUM
ejpam-6981	262	8	η)n(η	η)n(η	ADV
ejpam-6981	262	9	)	)	PUNCT
ejpam-6981	262	10	2η	2η	PROPN
ejpam-6981	262	11	tλi	tλi	X
ejpam-6981	262	12	]	]	SYM
ejpam-6981	262	13	n	n	X
ejpam-6981	262	14	,	,	PUNCT
ejpam-6981	262	15	i	i	PRON
ejpam-6981	262	16	=	=	NOUN
ejpam-6981	262	17	1	1	NUM
ejpam-6981	262	18	,	,	PUNCT
ejpam-6981	262	19	.	.	PUNCT
ejpam-6981	262	20	.	.	PUNCT
ejpam-6981	263	1	.	.	PUNCT
ejpam-6981	264	1	,	,	PUNCT
ejpam-6981	264	2	6	6	X
ejpam-6981	264	3	.	.	PUNCT
ejpam-6981	265	1	the	the	DET
ejpam-6981	265	2	recursive	recursive	ADJ
ejpam-6981	265	3	bound	bind	VERB
ejpam-6981	265	4	can	can	AUX
ejpam-6981	265	5	be	be	AUX
ejpam-6981	265	6	written	write	VERB
ejpam-6981	265	7	as	as	ADP
ejpam-6981	265	8	∥∆n	∥∆n	NOUN
ejpam-6981	265	9	i	i	PRON
ejpam-6981	265	10	(	(	PUNCT
ejpam-6981	265	11	t)∥	t)∥	X
ejpam-6981	265	12	≤	≤	NUM
ejpam-6981	265	13	∥xi(0)∥+	∥xi(0)∥+	ADV
ejpam-6981	265	14	cn	cn	INTJ
ejpam-6981	266	1	i	i	PRON
ejpam-6981	266	2	,	,	PUNCT
ejpam-6981	266	3	i	i	PRON
ejpam-6981	266	4	=	=	NOUN
ejpam-6981	266	5	1	1	NUM
ejpam-6981	266	6	,	,	PUNCT
ejpam-6981	266	7	2	2	NUM
ejpam-6981	266	8	,	,	PUNCT
ejpam-6981	266	9	.	.	PUNCT
ejpam-6981	266	10	.	.	PUNCT
ejpam-6981	266	11	.	.	PUNCT
ejpam-6981	267	1	,	,	PUNCT
ejpam-6981	267	2	6	6	NUM
ejpam-6981	267	3	,	,	PUNCT
ejpam-6981	267	4	where	where	SCONJ
ejpam-6981	267	5	ci	ci	PROPN
ejpam-6981	267	6	is	be	AUX
ejpam-6981	267	7	a	a	DET
ejpam-6981	267	8	constant	constant	ADJ
ejpam-6981	267	9	independent	independent	NOUN
ejpam-6981	267	10	of	of	ADP
ejpam-6981	267	11	the	the	DET
ejpam-6981	267	12	iteration	iteration	NOUN
ejpam-6981	267	13	,	,	PUNCT
ejpam-6981	267	14	given	give	VERB
ejpam-6981	267	15	by	by	ADP
ejpam-6981	267	16	ci	ci	NOUN
ejpam-6981	267	17	=	=	PUNCT
ejpam-6981	267	18	(	(	PUNCT
ejpam-6981	267	19	2−	2−	NUM
ejpam-6981	267	20	η)n(η	η)n(η	ADV
ejpam-6981	267	21	)	)	PUNCT
ejpam-6981	267	22	2(1−	2(1−	PROPN
ejpam-6981	267	23	η	η	X
ejpam-6981	267	24	)	)	PUNCT
ejpam-6981	267	25	λi	λi	X
ejpam-6981	267	26	+	+	X
ejpam-6981	267	27	(	(	PUNCT
ejpam-6981	267	28	2−	2−	NUM
ejpam-6981	267	29	η)n(η	η)n(η	ADV
ejpam-6981	267	30	)	)	PUNCT
ejpam-6981	267	31	2η	2η	PROPN
ejpam-6981	268	1	tλi	tλi	PROPN
ejpam-6981	268	2	,	,	PUNCT
ejpam-6981	268	3	i	i	PRON
ejpam-6981	268	4	=	=	NOUN
ejpam-6981	268	5	1	1	NUM
ejpam-6981	268	6	,	,	PUNCT
ejpam-6981	268	7	2	2	NUM
ejpam-6981	268	8	,	,	PUNCT
ejpam-6981	268	9	.	.	PUNCT
ejpam-6981	268	10	.	.	PUNCT
ejpam-6981	268	11	.	.	PUNCT
ejpam-6981	269	1	,	,	PUNCT
ejpam-6981	269	2	6	6	NUM
ejpam-6981	269	3	,	,	PUNCT
ejpam-6981	269	4	where	where	SCONJ
ejpam-6981	269	5	x1	x1	PROPN
ejpam-6981	269	6	=	=	SYM
ejpam-6981	269	7	u	u	PROPN
ejpam-6981	269	8	,	,	PUNCT
ejpam-6981	269	9	x2	x2	PROPN
ejpam-6981	269	10	=	=	SYM
ejpam-6981	269	11	e	e	X
ejpam-6981	269	12	,	,	PUNCT
ejpam-6981	269	13	x3	x3	NOUN
ejpam-6981	269	14	=	=	SYM
ejpam-6981	270	1	i	i	PROPN
ejpam-6981	270	2	,	,	PUNCT
ejpam-6981	270	3	x4	x4	PROPN
ejpam-6981	270	4	=	=	PROPN
ejpam-6981	270	5	v	v	PROPN
ejpam-6981	270	6	,	,	PUNCT
ejpam-6981	270	7	x5	x5	PROPN
ejpam-6981	270	8	=	=	SYM
ejpam-6981	270	9	f	f	PROPN
ejpam-6981	270	10	,	,	PUNCT
ejpam-6981	270	11	x6	x6	PROPN
ejpam-6981	270	12	=	=	SYM
ejpam-6981	270	13	q.	q.	PROPN
ejpam-6981	270	14	therefore	therefore	ADV
ejpam-6981	270	15	,	,	PUNCT
ejpam-6981	270	16	(	(	PUNCT
ejpam-6981	270	17	4.8	4.8	NUM
ejpam-6981	270	18	)	)	PUNCT
ejpam-6981	270	19	exists	exist	VERB
ejpam-6981	270	20	.	.	PUNCT
ejpam-6981	271	1	additionally	additionally	ADV
ejpam-6981	271	2	,	,	PUNCT
ejpam-6981	271	3	we	we	PRON
ejpam-6981	271	4	demonstrate	demonstrate	VERB
ejpam-6981	271	5	that	that	SCONJ
ejpam-6981	271	6	the	the	DET
ejpam-6981	271	7	functions	function	NOUN
ejpam-6981	271	8	in	in	ADP
ejpam-6981	271	9	(	(	PUNCT
ejpam-6981	271	10	4.8	4.8	NUM
ejpam-6981	271	11	)	)	PUNCT
ejpam-6981	271	12	constitute	constitute	VERB
ejpam-6981	271	13	a	a	DET
ejpam-6981	271	14	solution	solution	NOUN
ejpam-6981	271	15	system	system	NOUN
ejpam-6981	271	16	for	for	ADP
ejpam-6981	271	17	(	(	PUNCT
ejpam-6981	271	18	2.1	2.1	NUM
ejpam-6981	271	19	)	)	PUNCT
ejpam-6981	271	20	under	under	ADP
ejpam-6981	271	21	the	the	DET
ejpam-6981	271	22	assumption	assumption	NOUN
ejpam-6981	271	23	that	that	SCONJ
ejpam-6981	271	24	u(t	u(t	NOUN
ejpam-6981	271	25	)	)	PUNCT
ejpam-6981	271	26	=	=	SYM
ejpam-6981	271	27	un(t)−υ1n(t	un(t)−υ1n(t	NOUN
ejpam-6981	271	28	)	)	PUNCT
ejpam-6981	271	29	,	,	PUNCT
ejpam-6981	271	30	e(t	e(t	NOUN
ejpam-6981	271	31	)	)	PUNCT
ejpam-6981	271	32	=	=	SYM
ejpam-6981	271	33	en(t)−υ2n(t	en(t)−υ2n(t	NOUN
ejpam-6981	271	34	)	)	PUNCT
ejpam-6981	271	35	,	,	PUNCT
ejpam-6981	271	36	i(t	i(t	PROPN
ejpam-6981	271	37	)	)	PUNCT
ejpam-6981	271	38	=	=	SYM
ejpam-6981	271	39	in(t)−υ3n(t	in(t)−υ3n(t	NUM
ejpam-6981	271	40	)	)	PUNCT
ejpam-6981	271	41	,	,	PUNCT
ejpam-6981	271	42	v	v	PROPN
ejpam-6981	271	43	(	(	PUNCT
ejpam-6981	271	44	t	t	NOUN
ejpam-6981	271	45	)	)	PUNCT
ejpam-6981	272	1	=	=	SYM
ejpam-6981	272	2	vn(t)−υ4n(t	vn(t)−υ4n(t	NOUN
ejpam-6981	272	3	)	)	PUNCT
ejpam-6981	272	4	,	,	PUNCT
ejpam-6981	272	5	f	f	PROPN
ejpam-6981	272	6	(	(	PUNCT
ejpam-6981	272	7	t	t	PROPN
ejpam-6981	272	8	)	)	PUNCT
ejpam-6981	272	9	=	=	SYM
ejpam-6981	272	10	fn(t)−υ5n(t	fn(t)−υ5n(t	NOUN
ejpam-6981	272	11	)	)	PUNCT
ejpam-6981	272	12	,	,	PUNCT
ejpam-6981	272	13	q(t	q(t	PROPN
ejpam-6981	272	14	)	)	PUNCT
ejpam-6981	272	15	=	=	SYM
ejpam-6981	272	16	qn(t)−υ6n(t	qn(t)−υ6n(t	NUM
ejpam-6981	272	17	)	)	PUNCT
ejpam-6981	272	18	,	,	PUNCT
ejpam-6981	272	19	(	(	PUNCT
ejpam-6981	272	20	4.9	4.9	NUM
ejpam-6981	272	21	)	)	PUNCT
ejpam-6981	272	22	where	where	SCONJ
ejpam-6981	272	23	υ1n(t),υ2n(t),υ3n(t),υ4n(t),υ5n(t	υ1n(t),υ2n(t),υ3n(t),υ4n(t),υ5n(t	NUM
ejpam-6981	272	24	)	)	PUNCT
ejpam-6981	272	25	and	and	CCONJ
ejpam-6981	272	26	υ6n(t	υ6n(t	PROPN
ejpam-6981	272	27	)	)	PUNCT
ejpam-6981	272	28	are	be	AUX
ejpam-6981	272	29	the	the	DET
ejpam-6981	272	30	leftover	leftover	NOUN
ejpam-6981	272	31	terms	term	NOUN
ejpam-6981	272	32	of	of	ADP
ejpam-6981	272	33	the	the	DET
ejpam-6981	272	34	solution	solution	NOUN
ejpam-6981	272	35	.	.	PUNCT
ejpam-6981	273	1	therefore	therefore	ADV
ejpam-6981	273	2	,	,	PUNCT
ejpam-6981	273	3	we	we	PRON
ejpam-6981	273	4	derive	derive	VERB
ejpam-6981	273	5	u(t)−	u(t)−	PROPN
ejpam-6981	273	6	un(t	un(t	NUM
ejpam-6981	273	7	)	)	PUNCT
ejpam-6981	273	8	=	=	PUNCT
ejpam-6981	274	1	2(1−	2(1−	NUM
ejpam-6981	274	2	η	η	NOUN
ejpam-6981	274	3	)	)	PUNCT
ejpam-6981	274	4	(	(	PUNCT
ejpam-6981	274	5	2−	2−	NUM
ejpam-6981	274	6	η)n(η	η)n(η	ADV
ejpam-6981	274	7	)	)	PUNCT
ejpam-6981	274	8	ψ1	ψ1	NOUN
ejpam-6981	274	9	(	(	PUNCT
ejpam-6981	274	10	t	t	PROPN
ejpam-6981	274	11	,	,	PUNCT
ejpam-6981	274	12	u(t)−	u(t)−	PROPN
ejpam-6981	274	13	un(t	un(t	NUM
ejpam-6981	274	14	)	)	PUNCT
ejpam-6981	274	15	)	)	PUNCT
ejpam-6981	275	1	+	+	CCONJ
ejpam-6981	275	2	2η	2η	NUM
ejpam-6981	275	3	(	(	PUNCT
ejpam-6981	275	4	2−	2−	NUM
ejpam-6981	275	5	η)n(η	η)n(η	ADV
ejpam-6981	275	6	)	)	PUNCT
ejpam-6981	275	7	∫	∫	PROPN
ejpam-6981	275	8	t	t	NOUN
ejpam-6981	275	9	0	0	NUM
ejpam-6981	275	10	ψ1	ψ1	NOUN
ejpam-6981	275	11	(	(	PUNCT
ejpam-6981	275	12	ℵ	ℵ	NOUN
ejpam-6981	275	13	,	,	PUNCT
ejpam-6981	275	14	u(ℵ)−	u(ℵ)−	X
ejpam-6981	275	15	un(ℵ	un(ℵ	NOUN
ejpam-6981	275	16	)	)	PUNCT
ejpam-6981	275	17	)	)	PUNCT
ejpam-6981	276	1	dℵ	dℵ	PROPN
ejpam-6981	276	2	=	=	SYM
ejpam-6981	276	3	2(1−	2(1−	NUM
ejpam-6981	276	4	η	η	NOUN
ejpam-6981	276	5	)	)	PUNCT
ejpam-6981	276	6	(	(	PUNCT
ejpam-6981	276	7	2−	2−	NUM
ejpam-6981	276	8	η)n(η	η)n(η	ADV
ejpam-6981	276	9	)	)	PUNCT
ejpam-6981	276	10	ψ1	ψ1	NOUN
ejpam-6981	276	11	(	(	PUNCT
ejpam-6981	276	12	t,−υ1n(t	t,−υ1n(t	NOUN
ejpam-6981	276	13	)	)	PUNCT
ejpam-6981	276	14	)	)	PUNCT
ejpam-6981	277	1	+	+	CCONJ
ejpam-6981	277	2	2η	2η	NUM
ejpam-6981	277	3	(	(	PUNCT
ejpam-6981	277	4	2−	2−	NUM
ejpam-6981	277	5	η)n(η	η)n(η	ADV
ejpam-6981	277	6	)	)	PUNCT
ejpam-6981	277	7	∫	∫	PROPN
ejpam-6981	277	8	t	t	NOUN
ejpam-6981	277	9	0	0	NUM
ejpam-6981	277	10	ψ1	ψ1	NOUN
ejpam-6981	277	11	(	(	PUNCT
ejpam-6981	277	12	ℵ,−υ1n(ℵ	ℵ,−υ1n(ℵ	ADJ
ejpam-6981	277	13	)	)	PUNCT
ejpam-6981	277	14	)	)	PUNCT
ejpam-6981	278	1	dℵ	dℵ	PROPN
ejpam-6981	278	2	e(t)−	e(t)−	PROPN
ejpam-6981	278	3	en(t	en(t	PRON
ejpam-6981	278	4	)	)	PUNCT
ejpam-6981	278	5	=	=	PUNCT
ejpam-6981	278	6	2(1−	2(1−	NUM
ejpam-6981	278	7	η	η	NOUN
ejpam-6981	278	8	)	)	PUNCT
ejpam-6981	278	9	(	(	PUNCT
ejpam-6981	278	10	2−	2−	NUM
ejpam-6981	278	11	η)n(η	η)n(η	ADV
ejpam-6981	278	12	)	)	PUNCT
ejpam-6981	278	13	ψ2	ψ2	NOUN
ejpam-6981	278	14	(	(	PUNCT
ejpam-6981	278	15	t	t	PROPN
ejpam-6981	278	16	,	,	PUNCT
ejpam-6981	278	17	e(t)−	e(t)−	PROPN
ejpam-6981	278	18	en(t	en(t	X
ejpam-6981	278	19	)	)	PUNCT
ejpam-6981	278	20	)	)	PUNCT
ejpam-6981	279	1	+	+	CCONJ
ejpam-6981	279	2	2η	2η	NUM
ejpam-6981	279	3	(	(	PUNCT
ejpam-6981	279	4	2−	2−	NUM
ejpam-6981	279	5	η)n(η	η)n(η	ADV
ejpam-6981	279	6	)	)	PUNCT
ejpam-6981	279	7	∫	∫	PROPN
ejpam-6981	279	8	t	t	NOUN
ejpam-6981	279	9	0	0	NUM
ejpam-6981	279	10	ψ2	ψ2	NOUN
ejpam-6981	279	11	(	(	PUNCT
ejpam-6981	279	12	ℵ	ℵ	X
ejpam-6981	279	13	,	,	PUNCT
ejpam-6981	279	14	e(ℵ)−	e(ℵ)−	PROPN
ejpam-6981	279	15	en(ℵ	en(ℵ	NOUN
ejpam-6981	279	16	)	)	PUNCT
ejpam-6981	279	17	)	)	PUNCT
ejpam-6981	280	1	dℵ	dℵ	PROPN
ejpam-6981	280	2	=	=	SYM
ejpam-6981	280	3	2(1−	2(1−	NUM
ejpam-6981	280	4	η	η	NOUN
ejpam-6981	280	5	)	)	PUNCT
ejpam-6981	280	6	(	(	PUNCT
ejpam-6981	280	7	2−	2−	NUM
ejpam-6981	280	8	η)n(η	η)n(η	ADV
ejpam-6981	280	9	)	)	PUNCT
ejpam-6981	280	10	ψ2	ψ2	NOUN
ejpam-6981	280	11	(	(	PUNCT
ejpam-6981	280	12	t,−υ2n(t	t,−υ2n(t	NUM
ejpam-6981	280	13	)	)	PUNCT
ejpam-6981	280	14	)	)	PUNCT
ejpam-6981	281	1	+	+	CCONJ
ejpam-6981	281	2	2η	2η	NUM
ejpam-6981	281	3	(	(	PUNCT
ejpam-6981	281	4	2−	2−	NUM
ejpam-6981	281	5	η)n(η	η)n(η	ADV
ejpam-6981	281	6	)	)	PUNCT
ejpam-6981	281	7	∫	∫	PROPN
ejpam-6981	281	8	t	t	NOUN
ejpam-6981	281	9	0	0	NUM
ejpam-6981	281	10	ψ2	ψ2	NOUN
ejpam-6981	281	11	(	(	PUNCT
ejpam-6981	281	12	ℵ,−υ2n(ℵ	ℵ,−υ2n(ℵ	NOUN
ejpam-6981	281	13	)	)	PUNCT
ejpam-6981	281	14	)	)	PUNCT
ejpam-6981	282	1	dℵ	dℵ	PROPN
ejpam-6981	282	2	i(t)−	i(t)−	PROPN
ejpam-6981	282	3	in(t	in(t	PUNCT
ejpam-6981	282	4	)	)	PUNCT
ejpam-6981	282	5	=	=	PUNCT
ejpam-6981	282	6	2(1−	2(1−	NUM
ejpam-6981	282	7	η	η	NOUN
ejpam-6981	282	8	)	)	PUNCT
ejpam-6981	282	9	(	(	PUNCT
ejpam-6981	282	10	2−	2−	NUM
ejpam-6981	282	11	η)n(η	η)n(η	ADJ
ejpam-6981	282	12	)	)	PUNCT
ejpam-6981	282	13	ψ3	ψ3	NOUN
ejpam-6981	282	14	(	(	PUNCT
ejpam-6981	282	15	t	t	PROPN
ejpam-6981	282	16	,	,	PUNCT
ejpam-6981	282	17	i(t)−	i(t)−	PROPN
ejpam-6981	282	18	in(t	in(t	NUM
ejpam-6981	282	19	)	)	PUNCT
ejpam-6981	282	20	)	)	PUNCT
ejpam-6981	283	1	+	+	CCONJ
ejpam-6981	283	2	2η	2η	NUM
ejpam-6981	283	3	(	(	PUNCT
ejpam-6981	283	4	2−	2−	NUM
ejpam-6981	283	5	η)n(η	η)n(η	ADV
ejpam-6981	283	6	)	)	PUNCT
ejpam-6981	283	7	∫	∫	PROPN
ejpam-6981	283	8	t	t	PROPN
ejpam-6981	283	9	0	0	NUM
ejpam-6981	283	10	ψ3	ψ3	PROPN
ejpam-6981	283	11	(	(	PUNCT
ejpam-6981	283	12	ℵ	ℵ	NOUN
ejpam-6981	283	13	,	,	PUNCT
ejpam-6981	283	14	i(ℵ)−	i(ℵ)−	PROPN
ejpam-6981	283	15	in(ℵ	in(ℵ	NOUN
ejpam-6981	283	16	)	)	PUNCT
ejpam-6981	283	17	)	)	PUNCT
ejpam-6981	284	1	dℵ	dℵ	X
ejpam-6981	284	2	=	=	SYM
ejpam-6981	284	3	2(1−	2(1−	NUM
ejpam-6981	284	4	η	η	NOUN
ejpam-6981	284	5	)	)	PUNCT
ejpam-6981	284	6	(	(	PUNCT
ejpam-6981	284	7	2−	2−	NUM
ejpam-6981	284	8	η)n(η	η)n(η	ADJ
ejpam-6981	284	9	)	)	PUNCT
ejpam-6981	284	10	ψ3	ψ3	NOUN
ejpam-6981	284	11	(	(	PUNCT
ejpam-6981	284	12	t,−υ3n(t	t,−υ3n(t	NOUN
ejpam-6981	284	13	)	)	PUNCT
ejpam-6981	284	14	)	)	PUNCT
ejpam-6981	285	1	+	+	CCONJ
ejpam-6981	285	2	2η	2η	NUM
ejpam-6981	285	3	(	(	PUNCT
ejpam-6981	285	4	2−	2−	NUM
ejpam-6981	285	5	η)n(η	η)n(η	ADV
ejpam-6981	285	6	)	)	PUNCT
ejpam-6981	285	7	∫	∫	PROPN
ejpam-6981	285	8	t	t	PROPN
ejpam-6981	285	9	0	0	NUM
ejpam-6981	285	10	ψ3	ψ3	NOUN
ejpam-6981	285	11	(	(	PUNCT
ejpam-6981	285	12	ℵ,−υ3n(ℵ	ℵ,−υ3n(ℵ	PROPN
ejpam-6981	285	13	)	)	PUNCT
ejpam-6981	285	14	)	)	PUNCT
ejpam-6981	286	1	dℵ	dℵ	PRON
ejpam-6981	286	2	v	v	X
ejpam-6981	286	3	(	(	PUNCT
ejpam-6981	286	4	t)−	t)−	PROPN
ejpam-6981	286	5	vn(t	vn(t	PUNCT
ejpam-6981	286	6	)	)	PUNCT
ejpam-6981	286	7	=	=	PUNCT
ejpam-6981	286	8	2(1−	2(1−	NUM
ejpam-6981	286	9	η	η	NOUN
ejpam-6981	286	10	)	)	PUNCT
ejpam-6981	286	11	(	(	PUNCT
ejpam-6981	286	12	2−	2−	NUM
ejpam-6981	286	13	η)n(η	η)n(η	ADV
ejpam-6981	286	14	)	)	PUNCT
ejpam-6981	286	15	ψ4	ψ4	PROPN
ejpam-6981	286	16	(	(	PUNCT
ejpam-6981	286	17	t	t	PROPN
ejpam-6981	286	18	,	,	PUNCT
ejpam-6981	286	19	v	v	PROPN
ejpam-6981	286	20	(	(	PUNCT
ejpam-6981	286	21	t)−	t)−	PROPN
ejpam-6981	286	22	vn(t	vn(t	NUM
ejpam-6981	286	23	)	)	PUNCT
ejpam-6981	286	24	)	)	PUNCT
ejpam-6981	287	1	+	+	CCONJ
ejpam-6981	287	2	2η	2η	NUM
ejpam-6981	287	3	(	(	PUNCT
ejpam-6981	287	4	2−	2−	NUM
ejpam-6981	287	5	η)n(η	η)n(η	ADV
ejpam-6981	287	6	)	)	PUNCT
ejpam-6981	288	1	∫	∫	PROPN
ejpam-6981	288	2	t	t	PROPN
ejpam-6981	288	3	0	0	NUM
ejpam-6981	288	4	ψ4	ψ4	PROPN
ejpam-6981	288	5	(	(	PUNCT
ejpam-6981	288	6	ℵ	ℵ	NOUN
ejpam-6981	288	7	,	,	PUNCT
ejpam-6981	288	8	v	v	NOUN
ejpam-6981	288	9	(	(	PUNCT
ejpam-6981	288	10	ℵ)−	ℵ)−	PROPN
ejpam-6981	288	11	vn(ℵ	vn(ℵ	NOUN
ejpam-6981	288	12	)	)	PUNCT
ejpam-6981	288	13	)	)	PUNCT
ejpam-6981	289	1	dℵ	dℵ	CCONJ
ejpam-6981	289	2	a.	a.	NOUN
ejpam-6981	289	3	shaikh	shaikh	PROPN
ejpam-6981	289	4	,	,	PUNCT
ejpam-6981	289	5	s.	s.	PROPN
ejpam-6981	289	6	howal	howal	PROPN
ejpam-6981	289	7	,	,	PUNCT
ejpam-6981	289	8	k.	k.	PROPN
ejpam-6981	289	9	s.	s.	PROPN
ejpam-6981	289	10	nisar	nisar	PROPN
ejpam-6981	289	11	/	/	SYM
ejpam-6981	289	12	eur	eur	PROPN
ejpam-6981	289	13	.	.	PUNCT
ejpam-6981	290	1	j.	j.	PROPN
ejpam-6981	290	2	pure	pure	PROPN
ejpam-6981	290	3	appl	appl	PROPN
ejpam-6981	290	4	.	.	PROPN
ejpam-6981	290	5	math	math	PROPN
ejpam-6981	290	6	,	,	PUNCT
ejpam-6981	290	7	18	18	NUM
ejpam-6981	290	8	(	(	PUNCT
ejpam-6981	290	9	4	4	NUM
ejpam-6981	290	10	)	)	PUNCT
ejpam-6981	290	11	(	(	PUNCT
ejpam-6981	290	12	2025	2025	NUM
ejpam-6981	290	13	)	)	PUNCT
ejpam-6981	290	14	,	,	PUNCT
ejpam-6981	290	15	6981	6981	NUM
ejpam-6981	290	16	11	11	NUM
ejpam-6981	290	17	=	=	SYM
ejpam-6981	290	18	2(1−	2(1−	NUM
ejpam-6981	290	19	η	η	NOUN
ejpam-6981	290	20	)	)	PUNCT
ejpam-6981	290	21	(	(	PUNCT
ejpam-6981	290	22	2−	2−	NUM
ejpam-6981	290	23	η)n(η	η)n(η	ADV
ejpam-6981	290	24	)	)	PUNCT
ejpam-6981	290	25	ψ4	ψ4	NOUN
ejpam-6981	290	26	(	(	PUNCT
ejpam-6981	290	27	t,−υ4n(t	t,−υ4n(t	NUM
ejpam-6981	290	28	)	)	PUNCT
ejpam-6981	290	29	)	)	PUNCT
ejpam-6981	291	1	+	+	CCONJ
ejpam-6981	291	2	2η	2η	NUM
ejpam-6981	291	3	(	(	PUNCT
ejpam-6981	291	4	2−	2−	NUM
ejpam-6981	291	5	η)n(η	η)n(η	ADV
ejpam-6981	291	6	)	)	PUNCT
ejpam-6981	292	1	∫	∫	PROPN
ejpam-6981	292	2	t	t	PROPN
ejpam-6981	292	3	0	0	NUM
ejpam-6981	292	4	ψ4	ψ4	PROPN
ejpam-6981	292	5	(	(	PUNCT
ejpam-6981	292	6	ℵ,−υ4n(ℵ	ℵ,−υ4n(ℵ	PROPN
ejpam-6981	292	7	)	)	PUNCT
ejpam-6981	292	8	)	)	PUNCT
ejpam-6981	293	1	dℵ	dℵ	PROPN
ejpam-6981	293	2	f	f	X
ejpam-6981	293	3	(	(	PUNCT
ejpam-6981	293	4	t)−	t)−	PROPN
ejpam-6981	293	5	fn(t	fn(t	PUNCT
ejpam-6981	293	6	)	)	PUNCT
ejpam-6981	293	7	=	=	PUNCT
ejpam-6981	294	1	2(1−	2(1−	NUM
ejpam-6981	294	2	η	η	NOUN
ejpam-6981	294	3	)	)	PUNCT
ejpam-6981	294	4	(	(	PUNCT
ejpam-6981	294	5	2−	2−	NUM
ejpam-6981	294	6	η)n(η	η)n(η	ADJ
ejpam-6981	294	7	)	)	PUNCT
ejpam-6981	294	8	ψ5	ψ5	NOUN
ejpam-6981	294	9	(	(	PUNCT
ejpam-6981	294	10	t	t	PROPN
ejpam-6981	294	11	,	,	PUNCT
ejpam-6981	294	12	f	f	PROPN
ejpam-6981	294	13	(	(	PUNCT
ejpam-6981	294	14	t)−	t)−	PROPN
ejpam-6981	294	15	fn(t	fn(t	PUNCT
ejpam-6981	294	16	)	)	PUNCT
ejpam-6981	294	17	)	)	PUNCT
ejpam-6981	295	1	+	+	CCONJ
ejpam-6981	295	2	2η	2η	NUM
ejpam-6981	295	3	(	(	PUNCT
ejpam-6981	295	4	2−	2−	NUM
ejpam-6981	295	5	η)n(η	η)n(η	ADV
ejpam-6981	295	6	)	)	PUNCT
ejpam-6981	296	1	∫	∫	PROPN
ejpam-6981	296	2	t	t	PROPN
ejpam-6981	296	3	0	0	NUM
ejpam-6981	296	4	ψ5	ψ5	PROPN
ejpam-6981	296	5	(	(	PUNCT
ejpam-6981	296	6	ℵ	ℵ	NOUN
ejpam-6981	296	7	,	,	PUNCT
ejpam-6981	296	8	f	f	PROPN
ejpam-6981	296	9	(	(	PUNCT
ejpam-6981	296	10	ℵ)−	ℵ)−	PROPN
ejpam-6981	296	11	fn(ℵ	fn(ℵ	NOUN
ejpam-6981	296	12	)	)	PUNCT
ejpam-6981	296	13	)	)	PUNCT
ejpam-6981	297	1	dℵ	dℵ	PROPN
ejpam-6981	297	2	=	=	SYM
ejpam-6981	297	3	2(1−	2(1−	NUM
ejpam-6981	297	4	η	η	NOUN
ejpam-6981	297	5	)	)	PUNCT
ejpam-6981	297	6	(	(	PUNCT
ejpam-6981	297	7	2−	2−	NUM
ejpam-6981	297	8	η)n(η	η)n(η	ADJ
ejpam-6981	297	9	)	)	PUNCT
ejpam-6981	297	10	ψ5	ψ5	NOUN
ejpam-6981	297	11	(	(	PUNCT
ejpam-6981	297	12	t,−υ5n(t	t,−υ5n(t	NOUN
ejpam-6981	297	13	)	)	PUNCT
ejpam-6981	297	14	)	)	PUNCT
ejpam-6981	298	1	+	+	CCONJ
ejpam-6981	298	2	2η	2η	NUM
ejpam-6981	298	3	(	(	PUNCT
ejpam-6981	298	4	2−	2−	NUM
ejpam-6981	298	5	η)n(η	η)n(η	ADV
ejpam-6981	298	6	)	)	PUNCT
ejpam-6981	299	1	∫	∫	PROPN
ejpam-6981	299	2	t	t	PROPN
ejpam-6981	299	3	0	0	NUM
ejpam-6981	299	4	ψ5	ψ5	PROPN
ejpam-6981	299	5	(	(	PUNCT
ejpam-6981	299	6	ℵ,−υ5n(ℵ	ℵ,−υ5n(ℵ	PROPN
ejpam-6981	299	7	)	)	PUNCT
ejpam-6981	299	8	)	)	PUNCT
ejpam-6981	300	1	dℵ	dℵ	PROPN
ejpam-6981	300	2	q(t)−qn(t	q(t)−qn(t	PRON
ejpam-6981	300	3	)	)	PUNCT
ejpam-6981	300	4	=	=	PUNCT
ejpam-6981	301	1	2(1−	2(1−	NUM
ejpam-6981	301	2	η	η	NOUN
ejpam-6981	301	3	)	)	PUNCT
ejpam-6981	301	4	(	(	PUNCT
ejpam-6981	301	5	2−	2−	NUM
ejpam-6981	301	6	η)n(η	η)n(η	ADV
ejpam-6981	301	7	)	)	PUNCT
ejpam-6981	301	8	ψ6	ψ6	NOUN
ejpam-6981	301	9	(	(	PUNCT
ejpam-6981	301	10	t	t	PROPN
ejpam-6981	301	11	,	,	PUNCT
ejpam-6981	301	12	q(t)−qn(t	q(t)−qn(t	PRON
ejpam-6981	301	13	)	)	PUNCT
ejpam-6981	301	14	)	)	PUNCT
ejpam-6981	302	1	+	+	CCONJ
ejpam-6981	302	2	2η	2η	NUM
ejpam-6981	302	3	(	(	PUNCT
ejpam-6981	302	4	2−	2−	NUM
ejpam-6981	302	5	η)n(η	η)n(η	ADV
ejpam-6981	302	6	)	)	PUNCT
ejpam-6981	303	1	∫	∫	PROPN
ejpam-6981	303	2	t	t	PROPN
ejpam-6981	303	3	0	0	NUM
ejpam-6981	303	4	ψ6	ψ6	PROPN
ejpam-6981	303	5	(	(	PUNCT
ejpam-6981	303	6	ℵ	ℵ	NOUN
ejpam-6981	303	7	,	,	PUNCT
ejpam-6981	303	8	q(ℵ)−qn(ℵ	q(ℵ)−qn(ℵ	ADJ
ejpam-6981	303	9	)	)	PUNCT
ejpam-6981	303	10	)	)	PUNCT
ejpam-6981	304	1	dℵ	dℵ	PROPN
ejpam-6981	304	2	=	=	SYM
ejpam-6981	304	3	2(1−	2(1−	NUM
ejpam-6981	304	4	η	η	NOUN
ejpam-6981	304	5	)	)	PUNCT
ejpam-6981	304	6	(	(	PUNCT
ejpam-6981	304	7	2−	2−	NUM
ejpam-6981	304	8	η)n(η	η)n(η	ADV
ejpam-6981	304	9	)	)	PUNCT
ejpam-6981	304	10	ψ6	ψ6	NOUN
ejpam-6981	304	11	(	(	PUNCT
ejpam-6981	304	12	t,−υ6n(t	t,−υ6n(t	NOUN
ejpam-6981	304	13	)	)	PUNCT
ejpam-6981	304	14	)	)	PUNCT
ejpam-6981	305	1	+	+	CCONJ
ejpam-6981	305	2	2η	2η	NUM
ejpam-6981	305	3	(	(	PUNCT
ejpam-6981	305	4	2−	2−	NUM
ejpam-6981	305	5	η)n(η	η)n(η	ADV
ejpam-6981	305	6	)	)	PUNCT
ejpam-6981	306	1	∫	∫	PROPN
ejpam-6981	306	2	t	t	PROPN
ejpam-6981	306	3	0	0	NUM
ejpam-6981	306	4	ψ6	ψ6	PROPN
ejpam-6981	306	5	(	(	PUNCT
ejpam-6981	306	6	ℵ,−υ6n(ℵ	ℵ,−υ6n(ℵ	PROPN
ejpam-6981	306	7	)	)	PUNCT
ejpam-6981	306	8	)	)	PUNCT
ejpam-6981	307	1	dℵ	dℵ	PROPN
ejpam-6981	307	2	(	(	PUNCT
ejpam-6981	307	3	4.10	4.10	NUM
ejpam-6981	307	4	)	)	PUNCT
ejpam-6981	307	5	by	by	ADP
ejpam-6981	307	6	taking	take	VERB
ejpam-6981	307	7	the	the	DET
ejpam-6981	307	8	norm	norm	NOUN
ejpam-6981	307	9	on	on	ADP
ejpam-6981	307	10	both	both	DET
ejpam-6981	307	11	sides	side	NOUN
ejpam-6981	307	12	,	,	PUNCT
ejpam-6981	307	13	we	we	PRON
ejpam-6981	307	14	get	get	VERB
ejpam-6981	307	15	∥∥u(t)−un(0)−	∥∥u(t)−un(0)−	PROPN
ejpam-6981	307	16	2(1−	2(1−	PROPN
ejpam-6981	307	17	η	η	NOUN
ejpam-6981	307	18	)	)	PUNCT
ejpam-6981	307	19	(	(	PUNCT
ejpam-6981	307	20	2−	2−	NUM
ejpam-6981	307	21	η)n(η	η)n(η	ADV
ejpam-6981	307	22	)	)	PUNCT
ejpam-6981	307	23	ψ1	ψ1	NOUN
ejpam-6981	307	24	(	(	PUNCT
ejpam-6981	307	25	t	t	PROPN
ejpam-6981	307	26	,	,	PUNCT
ejpam-6981	307	27	u(t)−un(t	u(t)−un(t	ADP
ejpam-6981	307	28	)	)	PUNCT
ejpam-6981	307	29	)	)	PUNCT
ejpam-6981	308	1	−	−	PROPN
ejpam-6981	308	2	2η	2η	NUM
ejpam-6981	308	3	(	(	PUNCT
ejpam-6981	308	4	2−	2−	NUM
ejpam-6981	308	5	η)n(η	η)n(η	ADV
ejpam-6981	308	6	)	)	PUNCT
ejpam-6981	309	1	∫	∫	PROPN
ejpam-6981	309	2	t	t	NOUN
ejpam-6981	309	3	0	0	NUM
ejpam-6981	309	4	ψ1	ψ1	NOUN
ejpam-6981	309	5	(	(	PUNCT
ejpam-6981	309	6	ℵ	ℵ	NOUN
ejpam-6981	309	7	,	,	PUNCT
ejpam-6981	309	8	u(ℵ)−un(ℵ	u(ℵ)−un(ℵ	NOUN
ejpam-6981	309	9	)	)	PUNCT
ejpam-6981	309	10	)	)	PUNCT
ejpam-6981	310	1	dℵ	dℵ	CCONJ
ejpam-6981	310	2	∥∥	∥∥	PUNCT
ejpam-6981	310	3	≤	≤	ADJ
ejpam-6981	310	4	∥υ1n(t)∥	∥υ1n(t)∥	NOUN
ejpam-6981	310	5	{	{	PUNCT
ejpam-6981	310	6	1	1	NUM
ejpam-6981	310	7	+	+	CCONJ
ejpam-6981	310	8	(	(	PUNCT
ejpam-6981	310	9	2(1−	2(1−	NUM
ejpam-6981	310	10	η	η	NOUN
ejpam-6981	310	11	)	)	PUNCT
ejpam-6981	310	12	(	(	PUNCT
ejpam-6981	310	13	2−	2−	NUM
ejpam-6981	310	14	η)n(η	η)n(η	ADV
ejpam-6981	310	15	)	)	PUNCT
ejpam-6981	310	16	λ1	λ1	ADJ
ejpam-6981	310	17	)	)	PUNCT
ejpam-6981	311	1	+	+	CCONJ
ejpam-6981	311	2	(	(	PUNCT
ejpam-6981	311	3	2η	2η	NUM
ejpam-6981	311	4	(	(	PUNCT
ejpam-6981	311	5	2−	2−	NUM
ejpam-6981	311	6	η)n(η	η)n(η	ADV
ejpam-6981	311	7	)	)	PUNCT
ejpam-6981	311	8	λ1	λ1	PROPN
ejpam-6981	311	9	t	t	PROPN
ejpam-6981	311	10	)	)	PUNCT
ejpam-6981	311	11	}	}	PUNCT
ejpam-6981	311	12	(	(	PUNCT
ejpam-6981	311	13	4.11	4.11	NUM
ejpam-6981	311	14	)	)	PUNCT
ejpam-6981	311	15	now	now	ADV
ejpam-6981	311	16	take	take	VERB
ejpam-6981	311	17	limit	limit	NOUN
ejpam-6981	311	18	n→	n→	PUNCT
ejpam-6981	311	19	∞	∞	NUM
ejpam-6981	311	20	in	in	ADP
ejpam-6981	311	21	an	an	DET
ejpam-6981	311	22	equation	equation	NOUN
ejpam-6981	311	23	(	(	PUNCT
ejpam-6981	311	24	4.11	4.11	NUM
ejpam-6981	311	25	)	)	PUNCT
ejpam-6981	311	26	,	,	PUNCT
ejpam-6981	311	27	we	we	PRON
ejpam-6981	311	28	get	get	VERB
ejpam-6981	311	29	∥υ1n(t)∥	∥υ1n(t)∥	NOUN
ejpam-6981	311	30	→	→	SYM
ejpam-6981	311	31	0	0	NUM
ejpam-6981	311	32	.	.	PUNCT
ejpam-6981	312	1	hence	hence	ADV
ejpam-6981	312	2	,	,	PUNCT
ejpam-6981	312	3	we	we	PRON
ejpam-6981	312	4	get	get	VERB
ejpam-6981	312	5	u(t	u(t	NOUN
ejpam-6981	312	6	)	)	PUNCT
ejpam-6981	312	7	=	=	SYM
ejpam-6981	313	1	u(0)−	u(0)−	PROPN
ejpam-6981	313	2	2(1−	2(1−	NUM
ejpam-6981	313	3	η	η	NOUN
ejpam-6981	313	4	)	)	PUNCT
ejpam-6981	313	5	(	(	PUNCT
ejpam-6981	313	6	2−	2−	NUM
ejpam-6981	313	7	η)n(η	η)n(η	ADV
ejpam-6981	313	8	)	)	PUNCT
ejpam-6981	313	9	ψ1	ψ1	NOUN
ejpam-6981	313	10	(	(	PUNCT
ejpam-6981	313	11	t	t	NOUN
ejpam-6981	313	12	,	,	PUNCT
ejpam-6981	313	13	u(t	u(t	NOUN
ejpam-6981	313	14	)	)	PUNCT
ejpam-6981	313	15	)	)	PUNCT
ejpam-6981	314	1	−	−	PROPN
ejpam-6981	314	2	2η	2η	NUM
ejpam-6981	314	3	(	(	PUNCT
ejpam-6981	314	4	2−	2−	NUM
ejpam-6981	314	5	η)n(η	η)n(η	ADV
ejpam-6981	314	6	)	)	PUNCT
ejpam-6981	315	1	∫	∫	PROPN
ejpam-6981	315	2	t	t	NOUN
ejpam-6981	315	3	0	0	NUM
ejpam-6981	315	4	ψ1	ψ1	NOUN
ejpam-6981	315	5	(	(	PUNCT
ejpam-6981	315	6	ℵ	ℵ	NOUN
ejpam-6981	315	7	,	,	PUNCT
ejpam-6981	315	8	u(ℵ	u(ℵ	NOUN
ejpam-6981	315	9	)	)	PUNCT
ejpam-6981	315	10	)	)	PUNCT
ejpam-6981	316	1	dℵ	dℵ	PROPN
ejpam-6981	316	2	(	(	PUNCT
ejpam-6981	316	3	4.12	4.12	NUM
ejpam-6981	316	4	)	)	PUNCT
ejpam-6981	316	5	similarly	similarly	ADV
ejpam-6981	316	6	,	,	PUNCT
ejpam-6981	316	7	as	as	ADP
ejpam-6981	316	8	limit	limit	NOUN
ejpam-6981	316	9	n→	n→	PUNCT
ejpam-6981	316	10	∞	∞	PROPN
ejpam-6981	316	11	,	,	PUNCT
ejpam-6981	316	12	we	we	PRON
ejpam-6981	316	13	get	get	VERB
ejpam-6981	316	14	∥υ2n(t)∥	∥υ2n(t)∥	NOUN
ejpam-6981	316	15	→	→	SYM
ejpam-6981	316	16	0	0	NUM
ejpam-6981	316	17	,	,	PUNCT
ejpam-6981	316	18	∥υ3n(t)∥	∥υ3n(t)∥	PROPN
ejpam-6981	316	19	→	→	SYM
ejpam-6981	316	20	0	0	NUM
ejpam-6981	316	21	,	,	PUNCT
ejpam-6981	316	22	∥υ4n(t)∥	∥υ4n(t)∥	PROPN
ejpam-6981	316	23	→	→	SYM
ejpam-6981	316	24	0	0	NUM
ejpam-6981	316	25	,	,	PUNCT
ejpam-6981	316	26	∥υ5n(t)∥	∥υ5n(t)∥	PROPN
ejpam-6981	316	27	→	→	SYM
ejpam-6981	316	28	0	0	NUM
ejpam-6981	316	29	,	,	PUNCT
ejpam-6981	316	30	∥υ6n(t)∥	∥υ6n(t)∥	PROPN
ejpam-6981	316	31	→	→	SYM
ejpam-6981	316	32	0	0	NUM
ejpam-6981	316	33	.	.	PUNCT
ejpam-6981	317	1	consequently	consequently	ADV
ejpam-6981	317	2	,	,	PUNCT
ejpam-6981	317	3	like	like	ADP
ejpam-6981	317	4	(	(	PUNCT
ejpam-6981	317	5	4.12	4.12	NUM
ejpam-6981	317	6	)	)	PUNCT
ejpam-6981	317	7	there	there	PRON
ejpam-6981	317	8	exists	exist	VERB
ejpam-6981	317	9	solutions	solution	NOUN
ejpam-6981	317	10	of	of	ADP
ejpam-6981	317	11	(	(	PUNCT
ejpam-6981	317	12	2.1	2.1	NUM
ejpam-6981	317	13	)	)	PUNCT
ejpam-6981	317	14	theorem	theorem	NOUN
ejpam-6981	317	15	2	2	NUM
ejpam-6981	317	16	.	.	PUNCT
ejpam-6981	317	17	show	show	VERB
ejpam-6981	317	18	that	that	SCONJ
ejpam-6981	317	19	the	the	DET
ejpam-6981	317	20	system	system	NOUN
ejpam-6981	317	21	(	(	PUNCT
ejpam-6981	317	22	2.1	2.1	NUM
ejpam-6981	317	23	)	)	PUNCT
ejpam-6981	317	24	has	have	VERB
ejpam-6981	317	25	a	a	DET
ejpam-6981	317	26	only	only	ADJ
ejpam-6981	317	27	one	one	NUM
ejpam-6981	317	28	solution	solution	NOUN
ejpam-6981	317	29	.	.	PUNCT
ejpam-6981	318	1	proof	proof	NOUN
ejpam-6981	318	2	.	.	PUNCT
ejpam-6981	319	1	let	let	VERB
ejpam-6981	319	2	there	there	PRON
ejpam-6981	319	3	is	be	VERB
ejpam-6981	319	4	another	another	DET
ejpam-6981	319	5	solution	solution	NOUN
ejpam-6981	319	6	of	of	ADP
ejpam-6981	319	7	the	the	DET
ejpam-6981	319	8	system	system	NOUN
ejpam-6981	319	9	(	(	PUNCT
ejpam-6981	319	10	2.1	2.1	NUM
ejpam-6981	319	11	)	)	PUNCT
ejpam-6981	319	12	,	,	PUNCT
ejpam-6981	319	13	say	say	VERB
ejpam-6981	319	14	u∗(t	u∗(t	NOUN
ejpam-6981	319	15	)	)	PUNCT
ejpam-6981	319	16	,	,	PUNCT
ejpam-6981	319	17	e∗(t	e∗(t	PROPN
ejpam-6981	319	18	)	)	PUNCT
ejpam-6981	319	19	,	,	PUNCT
ejpam-6981	319	20	i∗(t	i∗(t	PROPN
ejpam-6981	319	21	)	)	PUNCT
ejpam-6981	319	22	,	,	PUNCT
ejpam-6981	319	23	v	v	ADP
ejpam-6981	319	24	∗(t	∗(t	NOUN
ejpam-6981	319	25	)	)	PUNCT
ejpam-6981	319	26	,	,	PUNCT
ejpam-6981	319	27	f	f	PROPN
ejpam-6981	319	28	∗(t	∗(t	NOUN
ejpam-6981	319	29	)	)	PUNCT
ejpam-6981	319	30	,	,	PUNCT
ejpam-6981	319	31	and	and	CCONJ
ejpam-6981	319	32	q∗(t	q∗(t	NOUN
ejpam-6981	319	33	)	)	PUNCT
ejpam-6981	319	34	,	,	PUNCT
ejpam-6981	319	35	then	then	ADV
ejpam-6981	319	36	we	we	PRON
ejpam-6981	319	37	get	get	VERB
ejpam-6981	319	38	u(t)−	u(t)−	PROPN
ejpam-6981	319	39	u∗(t	u∗(t	NOUN
ejpam-6981	319	40	)	)	PUNCT
ejpam-6981	319	41	=	=	PUNCT
ejpam-6981	319	42	2(1−	2(1−	NUM
ejpam-6981	319	43	η	η	NOUN
ejpam-6981	319	44	)	)	PUNCT
ejpam-6981	319	45	(	(	PUNCT
ejpam-6981	319	46	2−	2−	NUM
ejpam-6981	319	47	η)n(η	η)n(η	ADV
ejpam-6981	319	48	)	)	PUNCT
ejpam-6981	319	49	[	[	PUNCT
ejpam-6981	319	50	ψ1	ψ1	NOUN
ejpam-6981	319	51	(	(	PUNCT
ejpam-6981	319	52	t	t	NOUN
ejpam-6981	319	53	,	,	PUNCT
ejpam-6981	319	54	u(t	u(t	NOUN
ejpam-6981	319	55	)	)	PUNCT
ejpam-6981	319	56	)	)	PUNCT
ejpam-6981	320	1	−	−	ADP
ejpam-6981	320	2	ψ1	ψ1	NOUN
ejpam-6981	320	3	(	(	PUNCT
ejpam-6981	320	4	t	t	PROPN
ejpam-6981	320	5	,	,	PUNCT
ejpam-6981	320	6	u∗(t	u∗(t	NOUN
ejpam-6981	320	7	)	)	PUNCT
ejpam-6981	320	8	)	)	PUNCT
ejpam-6981	320	9	]	]	PUNCT
ejpam-6981	321	1	+	+	NUM
ejpam-6981	321	2	2η	2η	NUM
ejpam-6981	321	3	(	(	PUNCT
ejpam-6981	321	4	2−	2−	NUM
ejpam-6981	321	5	η)n(η	η)n(η	ADV
ejpam-6981	321	6	)	)	PUNCT
ejpam-6981	322	1	∫	∫	PROPN
ejpam-6981	322	2	t	t	NOUN
ejpam-6981	322	3	0	0	NUM
ejpam-6981	323	1	[	[	PUNCT
ejpam-6981	323	2	ψ1	ψ1	NOUN
ejpam-6981	323	3	(	(	PUNCT
ejpam-6981	323	4	ℵ	ℵ	NOUN
ejpam-6981	323	5	,	,	PUNCT
ejpam-6981	323	6	u(ℵ	u(ℵ	NOUN
ejpam-6981	323	7	)	)	PUNCT
ejpam-6981	323	8	)	)	PUNCT
ejpam-6981	324	1	−	−	ADP
ejpam-6981	324	2	ψ1	ψ1	NOUN
ejpam-6981	324	3	(	(	PUNCT
ejpam-6981	324	4	ℵ	ℵ	NOUN
ejpam-6981	324	5	,	,	PUNCT
ejpam-6981	324	6	u∗(ℵ	u∗(ℵ	PROPN
ejpam-6981	324	7	)	)	PUNCT
ejpam-6981	324	8	)	)	PUNCT
ejpam-6981	324	9	]	]	PUNCT
ejpam-6981	325	1	dℵ	dℵ	PROPN
ejpam-6981	325	2	,	,	PUNCT
ejpam-6981	325	3	e(t)−	e(t)−	PROPN
ejpam-6981	325	4	e∗(t	e∗(t	PROPN
ejpam-6981	325	5	)	)	PUNCT
ejpam-6981	325	6	=	=	PUNCT
ejpam-6981	325	7	2(1−	2(1−	NUM
ejpam-6981	325	8	η	η	NOUN
ejpam-6981	325	9	)	)	PUNCT
ejpam-6981	325	10	(	(	PUNCT
ejpam-6981	325	11	2−	2−	NUM
ejpam-6981	325	12	η)n(η	η)n(η	ADV
ejpam-6981	325	13	)	)	PUNCT
ejpam-6981	325	14	[	[	PUNCT
ejpam-6981	325	15	ψ2	ψ2	NOUN
ejpam-6981	325	16	(	(	PUNCT
ejpam-6981	325	17	t	t	NOUN
ejpam-6981	325	18	,	,	PUNCT
ejpam-6981	325	19	e(t	e(t	NOUN
ejpam-6981	325	20	)	)	PUNCT
ejpam-6981	325	21	)	)	PUNCT
ejpam-6981	326	1	−	−	ADP
ejpam-6981	326	2	ψ2	ψ2	NOUN
ejpam-6981	326	3	(	(	PUNCT
ejpam-6981	326	4	t	t	PROPN
ejpam-6981	326	5	,	,	PUNCT
ejpam-6981	326	6	e∗(t	e∗(t	NOUN
ejpam-6981	326	7	)	)	PUNCT
ejpam-6981	326	8	)	)	PUNCT
ejpam-6981	326	9	]	]	PUNCT
ejpam-6981	327	1	+	+	NUM
ejpam-6981	327	2	2η	2η	NUM
ejpam-6981	327	3	(	(	PUNCT
ejpam-6981	327	4	2−	2−	NUM
ejpam-6981	327	5	η)n(η	η)n(η	ADV
ejpam-6981	327	6	)	)	PUNCT
ejpam-6981	328	1	∫	∫	PROPN
ejpam-6981	328	2	t	t	PROPN
ejpam-6981	328	3	0	0	NUM
ejpam-6981	328	4	[	[	PUNCT
ejpam-6981	328	5	ψ2	ψ2	NOUN
ejpam-6981	328	6	(	(	PUNCT
ejpam-6981	328	7	ℵ	ℵ	NOUN
ejpam-6981	328	8	,	,	PUNCT
ejpam-6981	328	9	e(ℵ	e(ℵ	NOUN
ejpam-6981	328	10	)	)	PUNCT
ejpam-6981	328	11	)	)	PUNCT
ejpam-6981	329	1	−	−	ADP
ejpam-6981	329	2	ψ2	ψ2	NOUN
ejpam-6981	329	3	(	(	PUNCT
ejpam-6981	329	4	ℵ	ℵ	NOUN
ejpam-6981	329	5	,	,	PUNCT
ejpam-6981	329	6	e∗(ℵ	e∗(ℵ	NOUN
ejpam-6981	329	7	)	)	PUNCT
ejpam-6981	329	8	)	)	PUNCT
ejpam-6981	329	9	]	]	PUNCT
ejpam-6981	330	1	dℵ	dℵ	PROPN
ejpam-6981	330	2	,	,	PUNCT
ejpam-6981	330	3	i(t)−	i(t)−	PROPN
ejpam-6981	330	4	i∗(t	i∗(t	PROPN
ejpam-6981	330	5	)	)	PUNCT
ejpam-6981	330	6	=	=	PUNCT
ejpam-6981	330	7	2(1−	2(1−	NUM
ejpam-6981	330	8	η	η	NOUN
ejpam-6981	330	9	)	)	PUNCT
ejpam-6981	330	10	(	(	PUNCT
ejpam-6981	330	11	2−	2−	NUM
ejpam-6981	330	12	η)n(η	η)n(η	ADV
ejpam-6981	330	13	)	)	PUNCT
ejpam-6981	330	14	[	[	PUNCT
ejpam-6981	330	15	ψ3	ψ3	NOUN
ejpam-6981	330	16	(	(	PUNCT
ejpam-6981	330	17	t	t	PROPN
ejpam-6981	330	18	,	,	PUNCT
ejpam-6981	330	19	i(t	i(t	PROPN
ejpam-6981	330	20	)	)	PUNCT
ejpam-6981	330	21	)	)	PUNCT
ejpam-6981	331	1	−	−	PROPN
ejpam-6981	331	2	ψ3	ψ3	NOUN
ejpam-6981	331	3	(	(	PUNCT
ejpam-6981	331	4	t	t	PROPN
ejpam-6981	331	5	,	,	PUNCT
ejpam-6981	331	6	i∗(t	i∗(t	PROPN
ejpam-6981	331	7	)	)	PUNCT
ejpam-6981	331	8	)	)	PUNCT
ejpam-6981	331	9	]	]	PUNCT
ejpam-6981	332	1	+	+	NUM
ejpam-6981	332	2	2η	2η	NUM
ejpam-6981	332	3	(	(	PUNCT
ejpam-6981	332	4	2−	2−	NUM
ejpam-6981	332	5	η)n(η	η)n(η	ADV
ejpam-6981	332	6	)	)	PUNCT
ejpam-6981	333	1	∫	∫	PROPN
ejpam-6981	333	2	t	t	PROPN
ejpam-6981	333	3	0	0	NUM
ejpam-6981	334	1	[	[	PUNCT
ejpam-6981	334	2	ψ3	ψ3	NOUN
ejpam-6981	334	3	(	(	PUNCT
ejpam-6981	334	4	ℵ	ℵ	NOUN
ejpam-6981	334	5	,	,	PUNCT
ejpam-6981	334	6	i(ℵ	i(ℵ	ADJ
ejpam-6981	334	7	)	)	PUNCT
ejpam-6981	334	8	)	)	PUNCT
ejpam-6981	335	1	−	−	PROPN
ejpam-6981	335	2	ψ3	ψ3	NOUN
ejpam-6981	335	3	(	(	PUNCT
ejpam-6981	335	4	ℵ	ℵ	NOUN
ejpam-6981	335	5	,	,	PUNCT
ejpam-6981	335	6	i∗(ℵ	i∗(ℵ	PROPN
ejpam-6981	335	7	)	)	PUNCT
ejpam-6981	335	8	)	)	PUNCT
ejpam-6981	335	9	]	]	PUNCT
ejpam-6981	336	1	dℵ	dℵ	PROPN
ejpam-6981	336	2	,	,	PUNCT
ejpam-6981	336	3	v	v	NOUN
ejpam-6981	336	4	(	(	PUNCT
ejpam-6981	336	5	t)−	t)−	PROPN
ejpam-6981	336	6	v	v	NUM
ejpam-6981	336	7	∗(t	∗(t	NOUN
ejpam-6981	336	8	)	)	PUNCT
ejpam-6981	336	9	=	=	PUNCT
ejpam-6981	336	10	2(1−	2(1−	NUM
ejpam-6981	336	11	η	η	NOUN
ejpam-6981	336	12	)	)	PUNCT
ejpam-6981	336	13	(	(	PUNCT
ejpam-6981	336	14	2−	2−	NUM
ejpam-6981	336	15	η)n(η	η)n(η	ADV
ejpam-6981	336	16	)	)	PUNCT
ejpam-6981	336	17	[	[	PUNCT
ejpam-6981	336	18	ψ4	ψ4	NOUN
ejpam-6981	336	19	(	(	PUNCT
ejpam-6981	336	20	t	t	PROPN
ejpam-6981	336	21	,	,	PUNCT
ejpam-6981	336	22	v	v	PROPN
ejpam-6981	336	23	(	(	PUNCT
ejpam-6981	336	24	t	t	PROPN
ejpam-6981	336	25	)	)	PUNCT
ejpam-6981	336	26	)	)	PUNCT
ejpam-6981	337	1	−	−	PROPN
ejpam-6981	337	2	ψ4	ψ4	NOUN
ejpam-6981	337	3	(	(	PUNCT
ejpam-6981	337	4	t	t	PROPN
ejpam-6981	337	5	,	,	PUNCT
ejpam-6981	337	6	v	v	X
ejpam-6981	337	7	∗(t	∗(t	NOUN
ejpam-6981	337	8	)	)	PUNCT
ejpam-6981	337	9	)	)	PUNCT
ejpam-6981	337	10	]	]	PUNCT
ejpam-6981	337	11	a.	a.	NOUN
ejpam-6981	337	12	shaikh	shaikh	PROPN
ejpam-6981	337	13	,	,	PUNCT
ejpam-6981	337	14	s.	s.	PROPN
ejpam-6981	337	15	howal	howal	PROPN
ejpam-6981	337	16	,	,	PUNCT
ejpam-6981	337	17	k.	k.	PROPN
ejpam-6981	337	18	s.	s.	PROPN
ejpam-6981	337	19	nisar	nisar	PROPN
ejpam-6981	337	20	/	/	SYM
ejpam-6981	337	21	eur	eur	PROPN
ejpam-6981	337	22	.	.	PUNCT
ejpam-6981	338	1	j.	j.	PROPN
ejpam-6981	338	2	pure	pure	PROPN
ejpam-6981	338	3	appl	appl	PROPN
ejpam-6981	338	4	.	.	PROPN
ejpam-6981	338	5	math	math	PROPN
ejpam-6981	338	6	,	,	PUNCT
ejpam-6981	338	7	18	18	NUM
ejpam-6981	338	8	(	(	PUNCT
ejpam-6981	338	9	4	4	NUM
ejpam-6981	338	10	)	)	PUNCT
ejpam-6981	338	11	(	(	PUNCT
ejpam-6981	338	12	2025	2025	NUM
ejpam-6981	338	13	)	)	PUNCT
ejpam-6981	338	14	,	,	PUNCT
ejpam-6981	338	15	6981	6981	NUM
ejpam-6981	338	16	12	12	NUM
ejpam-6981	338	17	+	+	NUM
ejpam-6981	338	18	2η	2η	NUM
ejpam-6981	338	19	(	(	PUNCT
ejpam-6981	338	20	2−	2−	NUM
ejpam-6981	338	21	η)n(η	η)n(η	ADV
ejpam-6981	338	22	)	)	PUNCT
ejpam-6981	339	1	∫	∫	PROPN
ejpam-6981	340	1	t	t	PROPN
ejpam-6981	340	2	0	0	NUM
ejpam-6981	340	3	[	[	PUNCT
ejpam-6981	340	4	ψ4	ψ4	NOUN
ejpam-6981	340	5	(	(	PUNCT
ejpam-6981	340	6	ℵ	ℵ	NOUN
ejpam-6981	340	7	,	,	PUNCT
ejpam-6981	340	8	v	v	NOUN
ejpam-6981	340	9	(	(	PUNCT
ejpam-6981	340	10	ℵ	ℵ	NOUN
ejpam-6981	340	11	)	)	PUNCT
ejpam-6981	340	12	)	)	PUNCT
ejpam-6981	341	1	−	−	PROPN
ejpam-6981	341	2	ψ4	ψ4	NOUN
ejpam-6981	341	3	(	(	PUNCT
ejpam-6981	341	4	ℵ	ℵ	NOUN
ejpam-6981	341	5	,	,	PUNCT
ejpam-6981	341	6	v	v	ADP
ejpam-6981	341	7	∗(ℵ	∗(ℵ	NOUN
ejpam-6981	341	8	)	)	PUNCT
ejpam-6981	341	9	)	)	PUNCT
ejpam-6981	341	10	]	]	PUNCT
ejpam-6981	342	1	dℵ	dℵ	PROPN
ejpam-6981	342	2	,	,	PUNCT
ejpam-6981	342	3	f	f	PROPN
ejpam-6981	342	4	(	(	PUNCT
ejpam-6981	342	5	t)−	t)−	PROPN
ejpam-6981	342	6	f	f	PROPN
ejpam-6981	342	7	∗(t	∗(t	PROPN
ejpam-6981	342	8	)	)	PUNCT
ejpam-6981	342	9	=	=	PUNCT
ejpam-6981	342	10	2(1−	2(1−	NUM
ejpam-6981	342	11	η	η	NOUN
ejpam-6981	342	12	)	)	PUNCT
ejpam-6981	342	13	(	(	PUNCT
ejpam-6981	342	14	2−	2−	NUM
ejpam-6981	342	15	η)n(η	η)n(η	ADV
ejpam-6981	342	16	)	)	PUNCT
ejpam-6981	342	17	[	[	PUNCT
ejpam-6981	342	18	ψ5	ψ5	PROPN
ejpam-6981	342	19	(	(	PUNCT
ejpam-6981	342	20	t	t	PROPN
ejpam-6981	342	21	,	,	PUNCT
ejpam-6981	342	22	f	f	PROPN
ejpam-6981	342	23	(	(	PUNCT
ejpam-6981	342	24	t	t	PROPN
ejpam-6981	342	25	)	)	PUNCT
ejpam-6981	342	26	)	)	PUNCT
ejpam-6981	343	1	−	−	PROPN
ejpam-6981	343	2	ψ5	ψ5	PROPN
ejpam-6981	343	3	(	(	PUNCT
ejpam-6981	343	4	t	t	PROPN
ejpam-6981	343	5	,	,	PUNCT
ejpam-6981	343	6	f	f	PROPN
ejpam-6981	343	7	∗(t	∗(t	NOUN
ejpam-6981	343	8	)	)	PUNCT
ejpam-6981	343	9	)	)	PUNCT
ejpam-6981	343	10	]	]	PUNCT
ejpam-6981	344	1	+	+	NUM
ejpam-6981	344	2	2η	2η	NUM
ejpam-6981	344	3	(	(	PUNCT
ejpam-6981	344	4	2−	2−	NUM
ejpam-6981	344	5	η)n(η	η)n(η	ADV
ejpam-6981	344	6	)	)	PUNCT
ejpam-6981	345	1	∫	∫	PROPN
ejpam-6981	345	2	t	t	PROPN
ejpam-6981	345	3	0	0	NUM
ejpam-6981	346	1	[	[	PUNCT
ejpam-6981	346	2	ψ5	ψ5	PROPN
ejpam-6981	346	3	(	(	PUNCT
ejpam-6981	346	4	ℵ	ℵ	NOUN
ejpam-6981	346	5	,	,	PUNCT
ejpam-6981	346	6	f	f	PROPN
ejpam-6981	346	7	(	(	PUNCT
ejpam-6981	346	8	ℵ	ℵ	NOUN
ejpam-6981	346	9	)	)	PUNCT
ejpam-6981	346	10	)	)	PUNCT
ejpam-6981	347	1	−	−	PROPN
ejpam-6981	347	2	ψ5	ψ5	NOUN
ejpam-6981	347	3	(	(	PUNCT
ejpam-6981	347	4	ℵ	ℵ	NOUN
ejpam-6981	347	5	,	,	PUNCT
ejpam-6981	347	6	f	f	PROPN
ejpam-6981	347	7	∗(ℵ	∗(ℵ	PROPN
ejpam-6981	347	8	)	)	PUNCT
ejpam-6981	347	9	)	)	PUNCT
ejpam-6981	347	10	]	]	PUNCT
ejpam-6981	348	1	dℵ	dℵ	NOUN
ejpam-6981	348	2	,	,	PUNCT
ejpam-6981	348	3	q(t)−q∗(t	q(t)−q∗(t	NOUN
ejpam-6981	348	4	)	)	PUNCT
ejpam-6981	348	5	=	=	PUNCT
ejpam-6981	348	6	2(1−	2(1−	NUM
ejpam-6981	348	7	η	η	NOUN
ejpam-6981	348	8	)	)	PUNCT
ejpam-6981	348	9	(	(	PUNCT
ejpam-6981	348	10	2−	2−	NUM
ejpam-6981	348	11	η)n(η	η)n(η	ADV
ejpam-6981	348	12	)	)	PUNCT
ejpam-6981	348	13	[	[	PUNCT
ejpam-6981	348	14	ψ6	ψ6	NOUN
ejpam-6981	348	15	(	(	PUNCT
ejpam-6981	348	16	t	t	PROPN
ejpam-6981	348	17	,	,	PUNCT
ejpam-6981	348	18	q(t	q(t	PROPN
ejpam-6981	348	19	)	)	PUNCT
ejpam-6981	348	20	)	)	PUNCT
ejpam-6981	349	1	−	−	PROPN
ejpam-6981	349	2	ψ6	ψ6	NOUN
ejpam-6981	349	3	(	(	PUNCT
ejpam-6981	349	4	t	t	PROPN
ejpam-6981	349	5	,	,	PUNCT
ejpam-6981	349	6	q∗(t	q∗(t	NOUN
ejpam-6981	349	7	)	)	PUNCT
ejpam-6981	349	8	)	)	PUNCT
ejpam-6981	349	9	]	]	PUNCT
ejpam-6981	350	1	+	+	NUM
ejpam-6981	350	2	2η	2η	NUM
ejpam-6981	350	3	(	(	PUNCT
ejpam-6981	350	4	2−	2−	NUM
ejpam-6981	350	5	η)n(η	η)n(η	ADV
ejpam-6981	350	6	)	)	PUNCT
ejpam-6981	351	1	∫	∫	PROPN
ejpam-6981	351	2	t	t	NOUN
ejpam-6981	351	3	0	0	NUM
ejpam-6981	352	1	[	[	PUNCT
ejpam-6981	352	2	ψ6	ψ6	X
ejpam-6981	352	3	(	(	PUNCT
ejpam-6981	352	4	ℵ	ℵ	NOUN
ejpam-6981	352	5	,	,	PUNCT
ejpam-6981	352	6	q(ℵ	q(ℵ	NUM
ejpam-6981	352	7	)	)	PUNCT
ejpam-6981	352	8	)	)	PUNCT
ejpam-6981	353	1	−	−	PROPN
ejpam-6981	353	2	ψ6	ψ6	NOUN
ejpam-6981	353	3	(	(	PUNCT
ejpam-6981	353	4	ℵ	ℵ	NOUN
ejpam-6981	353	5	,	,	PUNCT
ejpam-6981	353	6	q∗(ℵ	q∗(ℵ	PROPN
ejpam-6981	353	7	)	)	PUNCT
ejpam-6981	353	8	)	)	PUNCT
ejpam-6981	353	9	]	]	PUNCT
ejpam-6981	354	1	dℵ	dℵ	PROPN
ejpam-6981	354	2	,	,	PUNCT
ejpam-6981	354	3	(	(	PUNCT
ejpam-6981	354	4	4.13	4.13	NUM
ejpam-6981	354	5	)	)	PUNCT
ejpam-6981	354	6	again	again	ADV
ejpam-6981	354	7	by	by	ADP
ejpam-6981	354	8	using	use	VERB
ejpam-6981	354	9	norm	norm	NOUN
ejpam-6981	354	10	on	on	ADP
ejpam-6981	354	11	(	(	PUNCT
ejpam-6981	354	12	4.13	4.13	NUM
ejpam-6981	354	13	)	)	PUNCT
ejpam-6981	354	14	,	,	PUNCT
ejpam-6981	354	15	we	we	PRON
ejpam-6981	354	16	get	get	VERB
ejpam-6981	354	17	∥u(t)−	∥u(t)−	ADV
ejpam-6981	354	18	u∗(t)∥	u∗(t)∥	NUM
ejpam-6981	354	19	=	=	SYM
ejpam-6981	354	20	2(1−	2(1−	NUM
ejpam-6981	354	21	η	η	NOUN
ejpam-6981	354	22	)	)	PUNCT
ejpam-6981	354	23	(	(	PUNCT
ejpam-6981	354	24	2−	2−	NUM
ejpam-6981	354	25	η)n(η	η)n(η	ADV
ejpam-6981	354	26	)	)	PUNCT
ejpam-6981	354	27	∥∥∥ψ1	∥∥∥ψ1	PROPN
ejpam-6981	354	28	(	(	PUNCT
ejpam-6981	354	29	t	t	PROPN
ejpam-6981	354	30	,	,	PUNCT
ejpam-6981	354	31	u(t	u(t	NOUN
ejpam-6981	354	32	)	)	PUNCT
ejpam-6981	354	33	)	)	PUNCT
ejpam-6981	355	1	−	−	ADP
ejpam-6981	355	2	ψ1	ψ1	NOUN
ejpam-6981	355	3	(	(	PUNCT
ejpam-6981	355	4	t	t	PROPN
ejpam-6981	355	5	,	,	PUNCT
ejpam-6981	355	6	u∗(t	u∗(t	NOUN
ejpam-6981	355	7	)	)	PUNCT
ejpam-6981	355	8	)	)	PUNCT
ejpam-6981	355	9	∥∥∥	∥∥∥	PROPN
ejpam-6981	356	1	+	+	CCONJ
ejpam-6981	356	2	2η	2η	PROPN
ejpam-6981	356	3	(	(	PUNCT
ejpam-6981	356	4	2−	2−	NUM
ejpam-6981	356	5	η)n(η	η)n(η	ADV
ejpam-6981	356	6	)	)	PUNCT
ejpam-6981	357	1	∫	∫	PROPN
ejpam-6981	357	2	t	t	PROPN
ejpam-6981	357	3	0	0	NUM
ejpam-6981	357	4	∥∥∥ψ1	∥∥∥ψ1	PROPN
ejpam-6981	357	5	(	(	PUNCT
ejpam-6981	357	6	ℵ	ℵ	NOUN
ejpam-6981	357	7	,	,	PUNCT
ejpam-6981	357	8	u(ℵ	u(ℵ	NOUN
ejpam-6981	357	9	)	)	PUNCT
ejpam-6981	357	10	)	)	PUNCT
ejpam-6981	358	1	−	−	ADP
ejpam-6981	358	2	ψ1	ψ1	NOUN
ejpam-6981	358	3	(	(	PUNCT
ejpam-6981	358	4	ℵ	ℵ	NOUN
ejpam-6981	358	5	,	,	PUNCT
ejpam-6981	358	6	u∗(ℵ	u∗(ℵ	PROPN
ejpam-6981	358	7	)	)	PUNCT
ejpam-6981	358	8	)	)	PUNCT
ejpam-6981	359	1	∥∥∥dℵ	∥∥∥dℵ	PROPN
ejpam-6981	359	2	,	,	PUNCT
ejpam-6981	359	3	∥e(t)−	∥e(t)−	X
ejpam-6981	359	4	e∗(t)∥	e∗(t)∥	NOUN
ejpam-6981	359	5	=	=	SYM
ejpam-6981	359	6	2(1−	2(1−	NUM
ejpam-6981	359	7	η	η	NOUN
ejpam-6981	359	8	)	)	PUNCT
ejpam-6981	359	9	(	(	PUNCT
ejpam-6981	359	10	2−	2−	NUM
ejpam-6981	359	11	η)n(η	η)n(η	ADV
ejpam-6981	359	12	)	)	PUNCT
ejpam-6981	359	13	∥∥∥ψ2	∥∥∥ψ2	CCONJ
ejpam-6981	359	14	(	(	PUNCT
ejpam-6981	359	15	t	t	PROPN
ejpam-6981	359	16	,	,	PUNCT
ejpam-6981	359	17	e(t	e(t	NOUN
ejpam-6981	359	18	)	)	PUNCT
ejpam-6981	359	19	)	)	PUNCT
ejpam-6981	360	1	−	−	ADP
ejpam-6981	360	2	ψ2	ψ2	NOUN
ejpam-6981	360	3	(	(	PUNCT
ejpam-6981	360	4	t	t	PROPN
ejpam-6981	360	5	,	,	PUNCT
ejpam-6981	360	6	e∗(t	e∗(t	NOUN
ejpam-6981	360	7	)	)	PUNCT
ejpam-6981	360	8	)	)	PUNCT
ejpam-6981	360	9	∥∥∥	∥∥∥	PROPN
ejpam-6981	361	1	+	+	CCONJ
ejpam-6981	361	2	2η	2η	PROPN
ejpam-6981	361	3	(	(	PUNCT
ejpam-6981	361	4	2−	2−	NUM
ejpam-6981	361	5	η)n(η	η)n(η	ADV
ejpam-6981	361	6	)	)	PUNCT
ejpam-6981	362	1	∫	∫	PROPN
ejpam-6981	362	2	t	t	PROPN
ejpam-6981	362	3	0	0	NUM
ejpam-6981	362	4	∥∥∥ψ2	∥∥∥ψ2	CCONJ
ejpam-6981	362	5	(	(	PUNCT
ejpam-6981	362	6	ℵ	ℵ	NOUN
ejpam-6981	362	7	,	,	PUNCT
ejpam-6981	362	8	e(ℵ	e(ℵ	NOUN
ejpam-6981	362	9	)	)	PUNCT
ejpam-6981	362	10	)	)	PUNCT
ejpam-6981	363	1	−	−	ADP
ejpam-6981	363	2	ψ2	ψ2	NOUN
ejpam-6981	363	3	(	(	PUNCT
ejpam-6981	363	4	ℵ	ℵ	NOUN
ejpam-6981	363	5	,	,	PUNCT
ejpam-6981	363	6	e∗(ℵ	e∗(ℵ	NOUN
ejpam-6981	363	7	)	)	PUNCT
ejpam-6981	363	8	)	)	PUNCT
ejpam-6981	364	1	∥∥∥dℵ	∥∥∥dℵ	PROPN
ejpam-6981	364	2	,	,	PUNCT
ejpam-6981	364	3	∥i(t)−	∥i(t)−	PROPN
ejpam-6981	364	4	i∗(t)∥	i∗(t)∥	PUNCT
ejpam-6981	364	5	=	=	SYM
ejpam-6981	364	6	2(1−	2(1−	NUM
ejpam-6981	364	7	η	η	NOUN
ejpam-6981	364	8	)	)	PUNCT
ejpam-6981	364	9	(	(	PUNCT
ejpam-6981	364	10	2−	2−	NUM
ejpam-6981	364	11	η)n(η	η)n(η	ADV
ejpam-6981	364	12	)	)	PUNCT
ejpam-6981	364	13	∥∥∥ψ3	∥∥∥ψ3	PROPN
ejpam-6981	364	14	(	(	PUNCT
ejpam-6981	364	15	t	t	PROPN
ejpam-6981	364	16	,	,	PUNCT
ejpam-6981	364	17	i(t	i(t	PROPN
ejpam-6981	364	18	)	)	PUNCT
ejpam-6981	364	19	)	)	PUNCT
ejpam-6981	365	1	−	−	PROPN
ejpam-6981	365	2	ψ3	ψ3	NOUN
ejpam-6981	365	3	(	(	PUNCT
ejpam-6981	365	4	t	t	PROPN
ejpam-6981	365	5	,	,	PUNCT
ejpam-6981	365	6	i∗(t	i∗(t	PROPN
ejpam-6981	365	7	)	)	PUNCT
ejpam-6981	365	8	)	)	PUNCT
ejpam-6981	365	9	∥∥∥	∥∥∥	PROPN
ejpam-6981	366	1	+	+	CCONJ
ejpam-6981	366	2	2η	2η	PROPN
ejpam-6981	366	3	(	(	PUNCT
ejpam-6981	366	4	2−	2−	NUM
ejpam-6981	366	5	η)n(η	η)n(η	ADV
ejpam-6981	366	6	)	)	PUNCT
ejpam-6981	367	1	∫	∫	PROPN
ejpam-6981	367	2	t	t	PROPN
ejpam-6981	367	3	0	0	NUM
ejpam-6981	367	4	∥∥∥ψ3	∥∥∥ψ3	PROPN
ejpam-6981	367	5	(	(	PUNCT
ejpam-6981	367	6	ℵ	ℵ	NOUN
ejpam-6981	367	7	,	,	PUNCT
ejpam-6981	367	8	i(ℵ	i(ℵ	ADJ
ejpam-6981	367	9	)	)	PUNCT
ejpam-6981	367	10	)	)	PUNCT
ejpam-6981	368	1	−	−	PROPN
ejpam-6981	368	2	ψ3	ψ3	NOUN
ejpam-6981	368	3	(	(	PUNCT
ejpam-6981	368	4	ℵ	ℵ	NOUN
ejpam-6981	368	5	,	,	PUNCT
ejpam-6981	368	6	i∗(ℵ	i∗(ℵ	PROPN
ejpam-6981	368	7	)	)	PUNCT
ejpam-6981	368	8	)	)	PUNCT
ejpam-6981	369	1	∥∥∥dℵ	∥∥∥dℵ	PROPN
ejpam-6981	369	2	,	,	PUNCT
ejpam-6981	369	3	∥v	∥v	PROPN
ejpam-6981	369	4	(	(	PUNCT
ejpam-6981	369	5	t)−	t)−	PROPN
ejpam-6981	369	6	v	v	ADP
ejpam-6981	369	7	∗(t)∥	∗(t)∥	NOUN
ejpam-6981	369	8	=	=	SYM
ejpam-6981	369	9	2(1−	2(1−	NUM
ejpam-6981	369	10	η	η	NOUN
ejpam-6981	369	11	)	)	PUNCT
ejpam-6981	369	12	(	(	PUNCT
ejpam-6981	369	13	2−	2−	NUM
ejpam-6981	369	14	η)n(η	η)n(η	ADV
ejpam-6981	369	15	)	)	PUNCT
ejpam-6981	369	16	∥∥∥ψ4	∥∥∥ψ4	PUNCT
ejpam-6981	369	17	(	(	PUNCT
ejpam-6981	369	18	t	t	PROPN
ejpam-6981	369	19	,	,	PUNCT
ejpam-6981	369	20	v	v	PROPN
ejpam-6981	369	21	(	(	PUNCT
ejpam-6981	369	22	t	t	PROPN
ejpam-6981	369	23	)	)	PUNCT
ejpam-6981	369	24	)	)	PUNCT
ejpam-6981	370	1	−	−	PROPN
ejpam-6981	370	2	ψ4	ψ4	NOUN
ejpam-6981	370	3	(	(	PUNCT
ejpam-6981	370	4	t	t	PROPN
ejpam-6981	370	5	,	,	PUNCT
ejpam-6981	370	6	v	v	X
ejpam-6981	370	7	∗(t	∗(t	NOUN
ejpam-6981	370	8	)	)	PUNCT
ejpam-6981	370	9	)	)	PUNCT
ejpam-6981	370	10	∥∥∥	∥∥∥	PROPN
ejpam-6981	371	1	+	+	CCONJ
ejpam-6981	371	2	2η	2η	PROPN
ejpam-6981	371	3	(	(	PUNCT
ejpam-6981	371	4	2−	2−	NUM
ejpam-6981	371	5	η)n(η	η)n(η	ADV
ejpam-6981	371	6	)	)	PUNCT
ejpam-6981	372	1	∫	∫	PROPN
ejpam-6981	372	2	t	t	PROPN
ejpam-6981	372	3	0	0	NUM
ejpam-6981	373	1	∥∥∥(ψ4(ℵ	∥∥∥(ψ4(ℵ	X
ejpam-6981	373	2	,	,	PUNCT
ejpam-6981	373	3	v	v	NOUN
ejpam-6981	373	4	(	(	PUNCT
ejpam-6981	373	5	ℵ	ℵ	NOUN
ejpam-6981	373	6	)	)	PUNCT
ejpam-6981	373	7	)	)	PUNCT
ejpam-6981	373	8	)	)	PUNCT
ejpam-6981	374	1	−	−	PROPN
ejpam-6981	374	2	ψ4	ψ4	NOUN
ejpam-6981	374	3	(	(	PUNCT
ejpam-6981	374	4	ℵ	ℵ	NOUN
ejpam-6981	374	5	,	,	PUNCT
ejpam-6981	374	6	v	v	ADP
ejpam-6981	374	7	∗(ℵ	∗(ℵ	NOUN
ejpam-6981	374	8	)	)	PUNCT
ejpam-6981	374	9	)	)	PUNCT
ejpam-6981	374	10	]	]	PUNCT
ejpam-6981	375	1	dℵ	dℵ	X
ejpam-6981	375	2	,	,	PUNCT
ejpam-6981	375	3	∥f	∥f	PROPN
ejpam-6981	375	4	(	(	PUNCT
ejpam-6981	375	5	t)−	t)−	PROPN
ejpam-6981	375	6	f	f	PROPN
ejpam-6981	375	7	∗(t)∥	∗(t)∥	PROPN
ejpam-6981	375	8	=	=	SYM
ejpam-6981	375	9	2(1−	2(1−	NUM
ejpam-6981	375	10	η	η	NOUN
ejpam-6981	375	11	)	)	PUNCT
ejpam-6981	375	12	(	(	PUNCT
ejpam-6981	375	13	2−	2−	NUM
ejpam-6981	375	14	η)n(η	η)n(η	ADV
ejpam-6981	375	15	)	)	PUNCT
ejpam-6981	375	16	∥∥∥ψ5	∥∥∥ψ5	PRON
ejpam-6981	375	17	(	(	PUNCT
ejpam-6981	375	18	t	t	PROPN
ejpam-6981	375	19	,	,	PUNCT
ejpam-6981	375	20	f	f	PROPN
ejpam-6981	375	21	(	(	PUNCT
ejpam-6981	375	22	t	t	PROPN
ejpam-6981	375	23	)	)	PUNCT
ejpam-6981	375	24	)	)	PUNCT
ejpam-6981	376	1	−	−	PROPN
ejpam-6981	376	2	ψ5	ψ5	PROPN
ejpam-6981	376	3	(	(	PUNCT
ejpam-6981	376	4	t	t	PROPN
ejpam-6981	376	5	,	,	PUNCT
ejpam-6981	376	6	f	f	PROPN
ejpam-6981	376	7	∗(t	∗(t	PROPN
ejpam-6981	376	8	)	)	PUNCT
ejpam-6981	376	9	)	)	PUNCT
ejpam-6981	376	10	∥∥∥	∥∥∥	PROPN
ejpam-6981	377	1	+	+	CCONJ
ejpam-6981	377	2	2η	2η	PROPN
ejpam-6981	377	3	(	(	PUNCT
ejpam-6981	377	4	2−	2−	NUM
ejpam-6981	377	5	η)n(η	η)n(η	ADV
ejpam-6981	377	6	)	)	PUNCT
ejpam-6981	378	1	∫	∫	PROPN
ejpam-6981	378	2	t	t	PROPN
ejpam-6981	378	3	0	0	NUM
ejpam-6981	378	4	∥∥∥ψ5	∥∥∥ψ5	NOUN
ejpam-6981	379	1	(	(	PUNCT
ejpam-6981	379	2	ℵ	ℵ	NOUN
ejpam-6981	379	3	,	,	PUNCT
ejpam-6981	379	4	f	f	PROPN
ejpam-6981	379	5	(	(	PUNCT
ejpam-6981	379	6	ℵ	ℵ	NOUN
ejpam-6981	379	7	)	)	PUNCT
ejpam-6981	379	8	)	)	PUNCT
ejpam-6981	380	1	−	−	PROPN
ejpam-6981	380	2	ψ5	ψ5	NOUN
ejpam-6981	380	3	(	(	PUNCT
ejpam-6981	380	4	ℵ	ℵ	NOUN
ejpam-6981	380	5	,	,	PUNCT
ejpam-6981	380	6	f	f	PROPN
ejpam-6981	380	7	∗(ℵ	∗(ℵ	PROPN
ejpam-6981	380	8	)	)	PUNCT
ejpam-6981	380	9	)	)	PUNCT
ejpam-6981	381	1	∥∥∥dℵ	∥∥∥dℵ	PROPN
ejpam-6981	381	2	,	,	PUNCT
ejpam-6981	381	3	∥q(t)−q∗(t)∥	∥q(t)−q∗(t)∥	PROPN
ejpam-6981	381	4	=	=	SYM
ejpam-6981	381	5	2(1−	2(1−	NUM
ejpam-6981	381	6	η	η	NOUN
ejpam-6981	381	7	)	)	PUNCT
ejpam-6981	381	8	(	(	PUNCT
ejpam-6981	381	9	2−	2−	NUM
ejpam-6981	381	10	η)n(η	η)n(η	ADV
ejpam-6981	381	11	)	)	PUNCT
ejpam-6981	381	12	∥∥∥ψ6	∥∥∥ψ6	PUNCT
ejpam-6981	381	13	(	(	PUNCT
ejpam-6981	381	14	t	t	PROPN
ejpam-6981	381	15	,	,	PUNCT
ejpam-6981	381	16	q(t	q(t	PROPN
ejpam-6981	381	17	)	)	PUNCT
ejpam-6981	381	18	)	)	PUNCT
ejpam-6981	381	19	−	−	PROPN
ejpam-6981	382	1	ψ6	ψ6	NOUN
ejpam-6981	382	2	(	(	PUNCT
ejpam-6981	382	3	t	t	PROPN
ejpam-6981	382	4	,	,	PUNCT
ejpam-6981	382	5	q∗(t	q∗(t	NOUN
ejpam-6981	382	6	)	)	PUNCT
ejpam-6981	382	7	)	)	PUNCT
ejpam-6981	382	8	∥∥∥	∥∥∥	PROPN
ejpam-6981	383	1	+	+	CCONJ
ejpam-6981	383	2	2η	2η	PROPN
ejpam-6981	383	3	(	(	PUNCT
ejpam-6981	383	4	2−	2−	NUM
ejpam-6981	383	5	η)n(η	η)n(η	ADV
ejpam-6981	383	6	)	)	PUNCT
ejpam-6981	384	1	∫	∫	PROPN
ejpam-6981	384	2	t	t	PROPN
ejpam-6981	384	3	0	0	NUM
ejpam-6981	384	4	∥∥∥ψ6	∥∥∥ψ6	PUNCT
ejpam-6981	384	5	(	(	PUNCT
ejpam-6981	384	6	ℵ	ℵ	NOUN
ejpam-6981	384	7	,	,	PUNCT
ejpam-6981	384	8	q(ℵ	q(ℵ	NUM
ejpam-6981	384	9	)	)	PUNCT
ejpam-6981	384	10	)	)	PUNCT
ejpam-6981	385	1	−	−	PROPN
ejpam-6981	385	2	ψ6	ψ6	NOUN
ejpam-6981	385	3	(	(	PUNCT
ejpam-6981	385	4	ℵ	ℵ	NOUN
ejpam-6981	385	5	,	,	PUNCT
ejpam-6981	385	6	q∗(ℵ	q∗(ℵ	PROPN
ejpam-6981	385	7	)	)	PUNCT
ejpam-6981	385	8	)	)	PUNCT
ejpam-6981	385	9	∥∥∥dℵ.	∥∥∥dℵ.	PROPN
ejpam-6981	385	10	(	(	PUNCT
ejpam-6981	385	11	4.14	4.14	NUM
ejpam-6981	385	12	)	)	PUNCT
ejpam-6981	385	13	based	base	VERB
ejpam-6981	385	14	on	on	ADP
ejpam-6981	385	15	theorems	theorem	NOUN
ejpam-6981	385	16	4.1	4.1	NUM
ejpam-6981	385	17	and	and	CCONJ
ejpam-6981	385	18	4.2	4.2	NUM
ejpam-6981	385	19	,	,	PUNCT
ejpam-6981	385	20	the	the	DET
ejpam-6981	385	21	results	result	NOUN
ejpam-6981	385	22	are	be	AUX
ejpam-6981	385	23	∥u(t)−	∥u(t)−	ADV
ejpam-6981	385	24	u∗(t)∥	u∗(t)∥	NUM
ejpam-6981	385	25	=	=	SYM
ejpam-6981	385	26	λ1	λ1	PROPN
ejpam-6981	385	27	2(1−	2(1−	PROPN
ejpam-6981	385	28	η	η	PROPN
ejpam-6981	385	29	)	)	PUNCT
ejpam-6981	385	30	(	(	PUNCT
ejpam-6981	385	31	2−	2−	NUM
ejpam-6981	385	32	η)n(η	η)n(η	ADV
ejpam-6981	385	33	)	)	PUNCT
ejpam-6981	385	34	∥u(t)−	∥u(t)−	PUNCT
ejpam-6981	385	35	u∗(t)∥	u∗(t)∥	PRON
ejpam-6981	385	36	+	+	CCONJ
ejpam-6981	385	37	λ1	λ1	PROPN
ejpam-6981	385	38	2η	2η	PROPN
ejpam-6981	385	39	(	(	PUNCT
ejpam-6981	385	40	2−	2−	NUM
ejpam-6981	385	41	η)n(η	η)n(η	ADV
ejpam-6981	385	42	)	)	PUNCT
ejpam-6981	385	43	t	t	PROPN
ejpam-6981	385	44	∥∥∥u(t)−	∥∥∥u(t)−	PROPN
ejpam-6981	385	45	u∗(t	u∗(t	PROPN
ejpam-6981	385	46	)	)	PUNCT
ejpam-6981	385	47	∥∥∥	∥∥∥	PROPN
ejpam-6981	385	48	,	,	PUNCT
ejpam-6981	385	49	a.	a.	NOUN
ejpam-6981	385	50	shaikh	shaikh	PROPN
ejpam-6981	385	51	,	,	PUNCT
ejpam-6981	385	52	s.	s.	PROPN
ejpam-6981	385	53	howal	howal	PROPN
ejpam-6981	385	54	,	,	PUNCT
ejpam-6981	385	55	k.	k.	PROPN
ejpam-6981	385	56	s.	s.	PROPN
ejpam-6981	385	57	nisar	nisar	PROPN
ejpam-6981	385	58	/	/	SYM
ejpam-6981	385	59	eur	eur	PROPN
ejpam-6981	385	60	.	.	PUNCT
ejpam-6981	386	1	j.	j.	PROPN
ejpam-6981	386	2	pure	pure	PROPN
ejpam-6981	386	3	appl	appl	PROPN
ejpam-6981	386	4	.	.	PROPN
ejpam-6981	386	5	math	math	PROPN
ejpam-6981	386	6	,	,	PUNCT
ejpam-6981	386	7	18	18	NUM
ejpam-6981	386	8	(	(	PUNCT
ejpam-6981	386	9	4	4	NUM
ejpam-6981	386	10	)	)	PUNCT
ejpam-6981	386	11	(	(	PUNCT
ejpam-6981	386	12	2025	2025	NUM
ejpam-6981	386	13	)	)	PUNCT
ejpam-6981	386	14	,	,	PUNCT
ejpam-6981	386	15	6981	6981	NUM
ejpam-6981	386	16	13	13	NUM
ejpam-6981	386	17	∥e(t)−	∥e(t)−	PROPN
ejpam-6981	386	18	e∗(t)∥	e∗(t)∥	NOUN
ejpam-6981	386	19	=	=	SYM
ejpam-6981	386	20	λ2	λ2	PROPN
ejpam-6981	386	21	2(1−	2(1−	NUM
ejpam-6981	386	22	η	η	NOUN
ejpam-6981	386	23	)	)	PUNCT
ejpam-6981	386	24	(	(	PUNCT
ejpam-6981	386	25	2−	2−	NUM
ejpam-6981	386	26	η)n(η	η)n(η	ADV
ejpam-6981	386	27	)	)	PUNCT
ejpam-6981	386	28	∥e(t)−	∥e(t)−	PROPN
ejpam-6981	386	29	e∗(t)∥	e∗(t)∥	NOUN
ejpam-6981	387	1	+	+	CCONJ
ejpam-6981	388	1	λ2	λ2	NOUN
ejpam-6981	388	2	2η	2η	PROPN
ejpam-6981	388	3	(	(	PUNCT
ejpam-6981	388	4	2−	2−	NUM
ejpam-6981	388	5	η)n(η	η)n(η	ADV
ejpam-6981	388	6	)	)	PUNCT
ejpam-6981	389	1	t	t	PROPN
ejpam-6981	389	2	∥∥∥e(t)−	∥∥∥e(t)−	PROPN
ejpam-6981	389	3	e∗(t	e∗(t	PROPN
ejpam-6981	389	4	)	)	PUNCT
ejpam-6981	389	5	∥∥∥	∥∥∥	PROPN
ejpam-6981	389	6	,	,	PUNCT
ejpam-6981	389	7	∥i(t)−	∥i(t)−	PROPN
ejpam-6981	389	8	i∗(t)∥	i∗(t)∥	PUNCT
ejpam-6981	389	9	=	=	SYM
ejpam-6981	390	1	λ3	λ3	PROPN
ejpam-6981	390	2	2(1−	2(1−	PROPN
ejpam-6981	390	3	η	η	NOUN
ejpam-6981	390	4	)	)	PUNCT
ejpam-6981	390	5	(	(	PUNCT
ejpam-6981	390	6	2−	2−	NUM
ejpam-6981	390	7	η)n(η	η)n(η	ADV
ejpam-6981	390	8	)	)	PUNCT
ejpam-6981	390	9	∥i(t)−	∥i(t)−	PROPN
ejpam-6981	390	10	i∗(t)∥	i∗(t)∥	ADP
ejpam-6981	390	11	+	+	PROPN
ejpam-6981	391	1	λ3	λ3	PROPN
ejpam-6981	391	2	2η	2η	PROPN
ejpam-6981	391	3	(	(	PUNCT
ejpam-6981	391	4	2−	2−	NUM
ejpam-6981	391	5	η)n(η	η)n(η	ADV
ejpam-6981	391	6	)	)	PUNCT
ejpam-6981	391	7	t	t	PROPN
ejpam-6981	391	8	∥∥∥i(t)−	∥∥∥i(t)−	PROPN
ejpam-6981	391	9	i∗(t	i∗(t	PROPN
ejpam-6981	391	10	)	)	PUNCT
ejpam-6981	391	11	∥∥∥	∥∥∥	PROPN
ejpam-6981	391	12	,	,	PUNCT
ejpam-6981	391	13	∥v	∥v	PROPN
ejpam-6981	391	14	(	(	PUNCT
ejpam-6981	391	15	t)−	t)−	PROPN
ejpam-6981	391	16	v	v	NOUN
ejpam-6981	391	17	∗(t)∥	∗(t)∥	NOUN
ejpam-6981	391	18	=	=	SYM
ejpam-6981	392	1	λ4	λ4	PROPN
ejpam-6981	392	2	2(1−	2(1−	PROPN
ejpam-6981	392	3	η	η	X
ejpam-6981	392	4	)	)	PUNCT
ejpam-6981	392	5	(	(	PUNCT
ejpam-6981	392	6	2−	2−	NUM
ejpam-6981	392	7	η)n(η	η)n(η	ADV
ejpam-6981	392	8	)	)	PUNCT
ejpam-6981	392	9	∥v	∥v	NOUN
ejpam-6981	392	10	(	(	PUNCT
ejpam-6981	392	11	t)−	t)−	PROPN
ejpam-6981	392	12	v	v	ADP
ejpam-6981	392	13	∗(t)∥	∗(t)∥	NOUN
ejpam-6981	392	14	+	+	CCONJ
ejpam-6981	392	15	λ4	λ4	PROPN
ejpam-6981	392	16	2η	2η	PROPN
ejpam-6981	392	17	(	(	PUNCT
ejpam-6981	392	18	2−	2−	NUM
ejpam-6981	392	19	η)n(η	η)n(η	ADV
ejpam-6981	392	20	)	)	PUNCT
ejpam-6981	392	21	t	t	PROPN
ejpam-6981	392	22	∥∥∥v	∥∥∥v	PROPN
ejpam-6981	392	23	(	(	PUNCT
ejpam-6981	392	24	t)−	t)−	PROPN
ejpam-6981	392	25	v	v	NUM
ejpam-6981	392	26	∗(t	∗(t	NOUN
ejpam-6981	392	27	)	)	PUNCT
ejpam-6981	392	28	∥∥∥	∥∥∥	PROPN
ejpam-6981	392	29	,	,	PUNCT
ejpam-6981	393	1	∥f	∥f	PROPN
ejpam-6981	393	2	(	(	PUNCT
ejpam-6981	393	3	t)−	t)−	PROPN
ejpam-6981	393	4	f	f	PROPN
ejpam-6981	394	1	∗(t)∥	∗(t)∥	NOUN
ejpam-6981	394	2	=	=	PUNCT
ejpam-6981	394	3	λ5	λ5	VERB
ejpam-6981	394	4	2(1−	2(1−	NUM
ejpam-6981	394	5	η	η	NOUN
ejpam-6981	394	6	)	)	PUNCT
ejpam-6981	394	7	(	(	PUNCT
ejpam-6981	394	8	2−	2−	NUM
ejpam-6981	394	9	η)n(η	η)n(η	ADV
ejpam-6981	394	10	)	)	PUNCT
ejpam-6981	395	1	∥f	∥f	PROPN
ejpam-6981	395	2	(	(	PUNCT
ejpam-6981	395	3	t)−	t)−	PROPN
ejpam-6981	395	4	f	f	PROPN
ejpam-6981	395	5	∗(t)∥	∗(t)∥	NOUN
ejpam-6981	395	6	+	+	CCONJ
ejpam-6981	396	1	λ5	λ5	PROPN
ejpam-6981	396	2	2η	2η	NUM
ejpam-6981	396	3	(	(	PUNCT
ejpam-6981	396	4	2−	2−	NUM
ejpam-6981	396	5	η)n(η	η)n(η	ADV
ejpam-6981	396	6	)	)	PUNCT
ejpam-6981	396	7	t	t	PROPN
ejpam-6981	396	8	∥∥∥f	∥∥∥f	NOUN
ejpam-6981	396	9	(	(	PUNCT
ejpam-6981	396	10	t)−	t)−	PROPN
ejpam-6981	396	11	f	f	PROPN
ejpam-6981	396	12	∗(t	∗(t	PROPN
ejpam-6981	396	13	)	)	PUNCT
ejpam-6981	396	14	∥∥∥	∥∥∥	PROPN
ejpam-6981	396	15	,	,	PUNCT
ejpam-6981	396	16	∥q(t)−q∗(t)∥	∥q(t)−q∗(t)∥	PROPN
ejpam-6981	396	17	=	=	SYM
ejpam-6981	396	18	λ6	λ6	PROPN
ejpam-6981	396	19	2(1−	2(1−	PROPN
ejpam-6981	396	20	η	η	PROPN
ejpam-6981	396	21	)	)	PUNCT
ejpam-6981	396	22	(	(	PUNCT
ejpam-6981	396	23	2−	2−	NUM
ejpam-6981	396	24	η)n(η	η)n(η	ADV
ejpam-6981	396	25	)	)	PUNCT
ejpam-6981	397	1	∥q(t)−q∗(t)∥	∥q(t)−q∗(t)∥	PROPN
ejpam-6981	397	2	+	+	CCONJ
ejpam-6981	397	3	λ6	λ6	PROPN
ejpam-6981	397	4	2η	2η	PROPN
ejpam-6981	397	5	(	(	PUNCT
ejpam-6981	397	6	2−	2−	NUM
ejpam-6981	397	7	η)n(η	η)n(η	ADV
ejpam-6981	397	8	)	)	PUNCT
ejpam-6981	397	9	t	t	PROPN
ejpam-6981	397	10	∥∥∥q(t)−q∗(t	∥∥∥q(t)−q∗(t	PROPN
ejpam-6981	397	11	)	)	PUNCT
ejpam-6981	397	12	∥∥∥.	∥∥∥.	CCONJ
ejpam-6981	397	13	(	(	PUNCT
ejpam-6981	397	14	4.15	4.15	NUM
ejpam-6981	397	15	)	)	PUNCT
ejpam-6981	397	16	the	the	DET
ejpam-6981	397	17	following	follow	VERB
ejpam-6981	397	18	is	be	AUX
ejpam-6981	397	19	how	how	SCONJ
ejpam-6981	397	20	the	the	DET
ejpam-6981	397	21	computed	compute	VERB
ejpam-6981	397	22	functions	function	NOUN
ejpam-6981	397	23	in	in	ADP
ejpam-6981	397	24	(	(	PUNCT
ejpam-6981	397	25	4.11	4.11	NUM
ejpam-6981	397	26	)	)	PUNCT
ejpam-6981	397	27	fulfill	fulfill	NOUN
ejpam-6981	397	28	the	the	DET
ejpam-6981	397	29	non	non	NOUN
ejpam-6981	397	30	-	-	NOUN
ejpam-6981	397	31	equalities	equality	NOUN
ejpam-6981	397	32	:	:	PUNCT
ejpam-6981	397	33	∥u(t)−	∥u(t)−	ADV
ejpam-6981	397	34	u∗(t)∥	u∗(t)∥	X
ejpam-6981	397	35	{	{	PUNCT
ejpam-6981	397	36	1−	1−	NUM
ejpam-6981	397	37	2λ1	2λ1	NUM
ejpam-6981	397	38	(	(	PUNCT
ejpam-6981	397	39	2−	2−	NUM
ejpam-6981	397	40	η)n(η	η)n(η	ADV
ejpam-6981	397	41	)	)	PUNCT
ejpam-6981	397	42	(	(	PUNCT
ejpam-6981	397	43	1−	1−	NUM
ejpam-6981	397	44	η	η	NOUN
ejpam-6981	397	45	−	−	PROPN
ejpam-6981	397	46	ηt	ηt	ADP
ejpam-6981	397	47	)	)	PUNCT
ejpam-6981	397	48	}	}	PUNCT
ejpam-6981	397	49	≤	≤	NUM
ejpam-6981	397	50	0	0	NUM
ejpam-6981	397	51	,	,	PUNCT
ejpam-6981	397	52	∥e(t)−	∥e(t)−	PROPN
ejpam-6981	397	53	e∗(t)∥	e∗(t)∥	NOUN
ejpam-6981	397	54	{	{	PUNCT
ejpam-6981	397	55	1−	1−	NUM
ejpam-6981	397	56	2λ2	2λ2	NUM
ejpam-6981	397	57	(	(	PUNCT
ejpam-6981	397	58	2−	2−	NUM
ejpam-6981	397	59	η)n(η	η)n(η	ADV
ejpam-6981	397	60	)	)	PUNCT
ejpam-6981	397	61	(	(	PUNCT
ejpam-6981	397	62	1−	1−	NUM
ejpam-6981	397	63	η	η	NOUN
ejpam-6981	397	64	−	−	PROPN
ejpam-6981	397	65	ηt	ηt	ADP
ejpam-6981	397	66	)	)	PUNCT
ejpam-6981	397	67	}	}	PUNCT
ejpam-6981	397	68	≤	≤	NUM
ejpam-6981	397	69	0	0	NUM
ejpam-6981	397	70	,	,	PUNCT
ejpam-6981	397	71	∥i(t)−	∥i(t)−	PROPN
ejpam-6981	397	72	i∗(t)∥	i∗(t)∥	ADP
ejpam-6981	397	73	{	{	PUNCT
ejpam-6981	397	74	1−	1−	NUM
ejpam-6981	397	75	2λ3	2λ3	NUM
ejpam-6981	397	76	(	(	PUNCT
ejpam-6981	397	77	2−	2−	NUM
ejpam-6981	397	78	η)n(η	η)n(η	ADV
ejpam-6981	397	79	)	)	PUNCT
ejpam-6981	397	80	(	(	PUNCT
ejpam-6981	397	81	1−	1−	NUM
ejpam-6981	397	82	η	η	NOUN
ejpam-6981	397	83	−	−	PROPN
ejpam-6981	397	84	ηt	ηt	ADP
ejpam-6981	397	85	)	)	PUNCT
ejpam-6981	397	86	}	}	PUNCT
ejpam-6981	397	87	≤	≤	ADV
ejpam-6981	397	88	0	0	NUM
ejpam-6981	397	89	,	,	PUNCT
ejpam-6981	397	90	∥v	∥v	PROPN
ejpam-6981	397	91	(	(	PUNCT
ejpam-6981	397	92	t)−	t)−	PROPN
ejpam-6981	397	93	v	v	PROPN
ejpam-6981	397	94	∗(t)∥	∗(t)∥	NOUN
ejpam-6981	397	95	{	{	PUNCT
ejpam-6981	397	96	1−	1−	NUM
ejpam-6981	397	97	2λ4	2λ4	NUM
ejpam-6981	397	98	(	(	PUNCT
ejpam-6981	397	99	2−	2−	NUM
ejpam-6981	397	100	η)n(η	η)n(η	ADV
ejpam-6981	397	101	)	)	PUNCT
ejpam-6981	397	102	(	(	PUNCT
ejpam-6981	397	103	1−	1−	NUM
ejpam-6981	397	104	η	η	NOUN
ejpam-6981	397	105	−	−	PROPN
ejpam-6981	397	106	ηt	ηt	ADP
ejpam-6981	397	107	)	)	PUNCT
ejpam-6981	397	108	}	}	PUNCT
ejpam-6981	397	109	≤	≤	ADV
ejpam-6981	397	110	0	0	NUM
ejpam-6981	397	111	,	,	PUNCT
ejpam-6981	397	112	∥f	∥f	PROPN
ejpam-6981	397	113	(	(	PUNCT
ejpam-6981	397	114	t)−	t)−	PROPN
ejpam-6981	397	115	f	f	PROPN
ejpam-6981	397	116	∗(t)∥	∗(t)∥	NOUN
ejpam-6981	397	117	{	{	PUNCT
ejpam-6981	397	118	1−	1−	NUM
ejpam-6981	397	119	2λ5	2λ5	NUM
ejpam-6981	397	120	(	(	PUNCT
ejpam-6981	397	121	2−	2−	NUM
ejpam-6981	397	122	η)n(η	η)n(η	ADV
ejpam-6981	397	123	)	)	PUNCT
ejpam-6981	397	124	(	(	PUNCT
ejpam-6981	397	125	1−	1−	NUM
ejpam-6981	397	126	η	η	NOUN
ejpam-6981	397	127	−	−	PROPN
ejpam-6981	397	128	ηt	ηt	ADP
ejpam-6981	397	129	)	)	PUNCT
ejpam-6981	397	130	}	}	PUNCT
ejpam-6981	397	131	≤	≤	NUM
ejpam-6981	397	132	0	0	NUM
ejpam-6981	397	133	,	,	PUNCT
ejpam-6981	397	134	∥q(t)−q∗(t)∥	∥q(t)−q∗(t)∥	PROPN
ejpam-6981	397	135	{	{	PUNCT
ejpam-6981	397	136	1−	1−	NUM
ejpam-6981	397	137	2λ6	2λ6	NUM
ejpam-6981	397	138	(	(	PUNCT
ejpam-6981	397	139	2−	2−	NUM
ejpam-6981	397	140	η)n(η	η)n(η	ADV
ejpam-6981	397	141	)	)	PUNCT
ejpam-6981	397	142	(	(	PUNCT
ejpam-6981	397	143	1−	1−	NUM
ejpam-6981	397	144	η	η	NOUN
ejpam-6981	397	145	−	−	PROPN
ejpam-6981	397	146	ηt	ηt	ADP
ejpam-6981	397	147	)	)	PUNCT
ejpam-6981	397	148	}	}	PUNCT
ejpam-6981	397	149	≤	≤	NUM
ejpam-6981	397	150	0	0	NUM
ejpam-6981	397	151	.	.	PUNCT
ejpam-6981	398	1	(	(	PUNCT
ejpam-6981	398	2	4.16	4.16	NUM
ejpam-6981	398	3	)	)	PUNCT
ejpam-6981	398	4	from	from	ADP
ejpam-6981	398	5	the	the	DET
ejpam-6981	398	6	final	final	ADJ
ejpam-6981	398	7	equation	equation	NOUN
ejpam-6981	398	8	,	,	PUNCT
ejpam-6981	398	9	we	we	PRON
ejpam-6981	398	10	establish	establish	VERB
ejpam-6981	398	11	that	that	SCONJ
ejpam-6981	398	12	u(t	u(t	NOUN
ejpam-6981	398	13	)	)	PUNCT
ejpam-6981	398	14	=	=	SYM
ejpam-6981	398	15	u∗(t	u∗(t	NOUN
ejpam-6981	398	16	)	)	PUNCT
ejpam-6981	398	17	,	,	PUNCT
ejpam-6981	398	18	e(t	e(t	NOUN
ejpam-6981	398	19	)	)	PUNCT
ejpam-6981	399	1	=	=	SYM
ejpam-6981	399	2	e∗(t	e∗(t	NOUN
ejpam-6981	399	3	)	)	PUNCT
ejpam-6981	399	4	,	,	PUNCT
ejpam-6981	399	5	i(t	i(t	PROPN
ejpam-6981	399	6	)	)	PUNCT
ejpam-6981	399	7	=	=	SYM
ejpam-6981	399	8	i∗(t	i∗(t	PROPN
ejpam-6981	399	9	)	)	PUNCT
ejpam-6981	399	10	,	,	PUNCT
ejpam-6981	399	11	v	v	X
ejpam-6981	399	12	(	(	PUNCT
ejpam-6981	399	13	t	t	NOUN
ejpam-6981	399	14	)	)	PUNCT
ejpam-6981	399	15	=	=	PUNCT
ejpam-6981	399	16	v	v	NUM
ejpam-6981	399	17	∗(t	∗(t	NOUN
ejpam-6981	399	18	)	)	PUNCT
ejpam-6981	399	19	,	,	PUNCT
ejpam-6981	399	20	f	f	PROPN
ejpam-6981	399	21	(	(	PUNCT
ejpam-6981	399	22	t	t	PROPN
ejpam-6981	399	23	)	)	PUNCT
ejpam-6981	399	24	=	=	SYM
ejpam-6981	399	25	f	f	X
ejpam-6981	399	26	∗(t	∗(t	NOUN
ejpam-6981	399	27	)	)	PUNCT
ejpam-6981	399	28	,	,	PUNCT
ejpam-6981	399	29	q(t	q(t	ADJ
ejpam-6981	399	30	)	)	PUNCT
ejpam-6981	399	31	=	=	SYM
ejpam-6981	399	32	q∗(t	q∗(t	NOUN
ejpam-6981	399	33	)	)	PUNCT
ejpam-6981	399	34	.	.	PUNCT
ejpam-6981	400	1	(	(	PUNCT
ejpam-6981	400	2	4.17	4.17	NUM
ejpam-6981	400	3	)	)	PUNCT
ejpam-6981	400	4	5	5	NUM
ejpam-6981	400	5	.	.	X
ejpam-6981	400	6	stability	stability	NOUN
ejpam-6981	400	7	this	this	DET
ejpam-6981	400	8	section	section	NOUN
ejpam-6981	400	9	examines	examine	VERB
ejpam-6981	400	10	the	the	DET
ejpam-6981	400	11	stability	stability	NOUN
ejpam-6981	400	12	conditions	condition	NOUN
ejpam-6981	400	13	of	of	ADP
ejpam-6981	400	14	approximate	approximate	ADJ
ejpam-6981	400	15	solutions	solution	NOUN
ejpam-6981	400	16	and	and	CCONJ
ejpam-6981	400	17	explores	explore	VERB
ejpam-6981	400	18	the	the	DET
ejpam-6981	400	19	use	use	NOUN
ejpam-6981	400	20	of	of	ADP
ejpam-6981	400	21	the	the	DET
ejpam-6981	400	22	iterative	iterative	NOUN
ejpam-6981	400	23	laplace	laplace	NOUN
ejpam-6981	400	24	transform	transform	NOUN
ejpam-6981	400	25	method	method	NOUN
ejpam-6981	400	26	in	in	ADP
ejpam-6981	400	27	the	the	DET
ejpam-6981	400	28	fractional	fractional	ADJ
ejpam-6981	400	29	malaria	malaria	NOUN
ejpam-6981	400	30	fever	fever	NOUN
ejpam-6981	400	31	model	model	NOUN
ejpam-6981	400	32	.	.	PUNCT
ejpam-6981	401	1	a.	a.	PROPN
ejpam-6981	401	2	shaikh	shaikh	PROPN
ejpam-6981	401	3	,	,	PUNCT
ejpam-6981	401	4	s.	s.	PROPN
ejpam-6981	401	5	howal	howal	PROPN
ejpam-6981	401	6	,	,	PUNCT
ejpam-6981	401	7	k.	k.	PROPN
ejpam-6981	401	8	s.	s.	PROPN
ejpam-6981	401	9	nisar	nisar	PROPN
ejpam-6981	401	10	/	/	SYM
ejpam-6981	401	11	eur	eur	PROPN
ejpam-6981	401	12	.	.	PUNCT
ejpam-6981	402	1	j.	j.	PROPN
ejpam-6981	402	2	pure	pure	PROPN
ejpam-6981	402	3	appl	appl	PROPN
ejpam-6981	402	4	.	.	PROPN
ejpam-6981	402	5	math	math	PROPN
ejpam-6981	402	6	,	,	PUNCT
ejpam-6981	402	7	18	18	NUM
ejpam-6981	402	8	(	(	PUNCT
ejpam-6981	402	9	4	4	NUM
ejpam-6981	402	10	)	)	PUNCT
ejpam-6981	402	11	(	(	PUNCT
ejpam-6981	402	12	2025	2025	NUM
ejpam-6981	402	13	)	)	PUNCT
ejpam-6981	402	14	,	,	PUNCT
ejpam-6981	402	15	6981	6981	NUM
ejpam-6981	402	16	14	14	NUM
ejpam-6981	402	17	5.1	5.1	NUM
ejpam-6981	402	18	.	.	PUNCT
ejpam-6981	403	1	iterative	iterative	NOUN
ejpam-6981	403	2	laplace	laplace	NOUN
ejpam-6981	403	3	transform	transform	NOUN
ejpam-6981	403	4	method	method	NOUN
ejpam-6981	403	5	examine	examine	VERB
ejpam-6981	403	6	the	the	DET
ejpam-6981	403	7	malaria	malaria	NOUN
ejpam-6981	403	8	infection	infection	NOUN
ejpam-6981	403	9	framework	framework	NOUN
ejpam-6981	403	10	(	(	PUNCT
ejpam-6981	403	11	2.1	2.1	NUM
ejpam-6981	403	12	)	)	PUNCT
ejpam-6981	403	13	with	with	ADP
ejpam-6981	403	14	starting	start	VERB
ejpam-6981	403	15	values	value	NOUN
ejpam-6981	403	16	(	(	PUNCT
ejpam-6981	403	17	2.2	2.2	NUM
ejpam-6981	403	18	)	)	PUNCT
ejpam-6981	403	19	.	.	PUNCT
ejpam-6981	404	1	utilizing	utilize	VERB
ejpam-6981	404	2	the	the	DET
ejpam-6981	404	3	laplace	laplace	NOUN
ejpam-6981	404	4	method	method	NOUN
ejpam-6981	404	5	on	on	ADP
ejpam-6981	404	6	both	both	DET
ejpam-6981	404	7	ends	end	NOUN
ejpam-6981	404	8	of	of	ADP
ejpam-6981	404	9	equation	equation	NOUN
ejpam-6981	404	10	(	(	PUNCT
ejpam-6981	404	11	2.1	2.1	NUM
ejpam-6981	404	12	)	)	PUNCT
ejpam-6981	404	13	,	,	PUNCT
ejpam-6981	404	14	we	we	PRON
ejpam-6981	404	15	get	get	VERB
ejpam-6981	404	16	sl(u(t))−	sl(u(t))−	PROPN
ejpam-6981	404	17	u(0	u(0	NOUN
ejpam-6981	404	18	)	)	PUNCT
ejpam-6981	404	19	s+	s+	PUNCT
ejpam-6981	405	1	η(1−	η(1−	PROPN
ejpam-6981	405	2	s	s	PART
ejpam-6981	405	3	)	)	PUNCT
ejpam-6981	405	4	=	=	SYM
ejpam-6981	405	5	l	l	NOUN
ejpam-6981	405	6	(	(	PUNCT
ejpam-6981	405	7	qπ	qπ	NOUN
ejpam-6981	405	8	+	+	CCONJ
ejpam-6981	405	9	(	(	PUNCT
ejpam-6981	405	10	1−	1−	NUM
ejpam-6981	405	11	b)ξi	b)ξi	NOUN
ejpam-6981	405	12	+	+	CCONJ
ejpam-6981	405	13	ϕv	ϕv	ADV
ejpam-6981	405	14	−	−	PROPN
ejpam-6981	405	15	(	(	PUNCT
ejpam-6981	405	16	σ	σ	X
ejpam-6981	405	17	+	+	NOUN
ejpam-6981	405	18	ψ	ψ	X
ejpam-6981	405	19	+	+	CCONJ
ejpam-6981	405	20	ϱ)u	ϱ)u	ADJ
ejpam-6981	405	21	)	)	PUNCT
ejpam-6981	405	22	sl(e(t))−	sl(e(t))−	PROPN
ejpam-6981	405	23	e(0	e(0	NOUN
ejpam-6981	405	24	)	)	PUNCT
ejpam-6981	405	25	p+	p+	PROPN
ejpam-6981	405	26	η(1−	η(1−	PROPN
ejpam-6981	405	27	s	s	PART
ejpam-6981	405	28	)	)	PUNCT
ejpam-6981	405	29	=	=	SYM
ejpam-6981	405	30	l	l	NOUN
ejpam-6981	405	31	(	(	PUNCT
ejpam-6981	405	32	σu	σu	INTJ
ejpam-6981	405	33	−	−	PROPN
ejpam-6981	405	34	(	(	PUNCT
ejpam-6981	405	35	χ+	χ+	NUM
ejpam-6981	405	36	ϱ)e	ϱ)e	NOUN
ejpam-6981	405	37	)	)	PUNCT
ejpam-6981	406	1	sl(i(t))−	sl(i(t))−	DET
ejpam-6981	406	2	i(0	i(0	PROPN
ejpam-6981	406	3	)	)	PUNCT
ejpam-6981	407	1	s+	s+	PUNCT
ejpam-6981	408	1	η(1−	η(1−	PROPN
ejpam-6981	408	2	s	s	PART
ejpam-6981	408	3	)	)	PUNCT
ejpam-6981	408	4	=	=	SYM
ejpam-6981	408	5	l	l	NOUN
ejpam-6981	408	6	(	(	PUNCT
ejpam-6981	408	7	χe	χe	PROPN
ejpam-6981	408	8	−	−	PROPN
ejpam-6981	408	9	(	(	PUNCT
ejpam-6981	408	10	ξ	ξ	X
ejpam-6981	408	11	+	+	PUNCT
ejpam-6981	408	12	ϱ+	ϱ+	NOUN
ejpam-6981	408	13	∂)i	∂)i	PROPN
ejpam-6981	408	14	)	)	PUNCT
ejpam-6981	408	15	sl(v	sl(v	NOUN
ejpam-6981	408	16	(	(	PUNCT
ejpam-6981	408	17	t))−	t))−	NOUN
ejpam-6981	408	18	v	v	NOUN
ejpam-6981	408	19	(	(	PUNCT
ejpam-6981	408	20	0	0	NUM
ejpam-6981	408	21	)	)	PUNCT
ejpam-6981	408	22	s+	s+	PUNCT
ejpam-6981	408	23	η(1−	η(1−	PROPN
ejpam-6981	408	24	s	s	PART
ejpam-6981	408	25	)	)	PUNCT
ejpam-6981	408	26	=	=	SYM
ejpam-6981	408	27	l	l	NOUN
ejpam-6981	408	28	(	(	PUNCT
ejpam-6981	408	29	(	(	PUNCT
ejpam-6981	408	30	1−	1−	NUM
ejpam-6981	408	31	q)π	q)π	NOUN
ejpam-6981	408	32	+	+	CCONJ
ejpam-6981	408	33	µq+	µq+	ADJ
ejpam-6981	408	34	ψu	ψu	NOUN
ejpam-6981	408	35	+	+	NOUN
ejpam-6981	408	36	bξi	bξi	NOUN
ejpam-6981	408	37	−	−	PROPN
ejpam-6981	408	38	(	(	PUNCT
ejpam-6981	408	39	θ	θ	PROPN
ejpam-6981	408	40	+	+	PUNCT
ejpam-6981	408	41	ϕ+	ϕ+	CCONJ
ejpam-6981	408	42	ϱ)v	ϱ)v	NOUN
ejpam-6981	408	43	)	)	PUNCT
ejpam-6981	408	44	sl(f	sl(f	NOUN
ejpam-6981	408	45	(	(	PUNCT
ejpam-6981	408	46	t))−	t))−	NOUN
ejpam-6981	408	47	f	f	X
ejpam-6981	408	48	(	(	PUNCT
ejpam-6981	408	49	0	0	NUM
ejpam-6981	408	50	)	)	PUNCT
ejpam-6981	408	51	s+	s+	PUNCT
ejpam-6981	408	52	η(1−	η(1−	PROPN
ejpam-6981	408	53	s	s	PART
ejpam-6981	408	54	)	)	PUNCT
ejpam-6981	408	55	=	=	SYM
ejpam-6981	408	56	l	l	NOUN
ejpam-6981	408	57	(	(	PUNCT
ejpam-6981	408	58	θv	θv	PROPN
ejpam-6981	408	59	−	−	PROPN
ejpam-6981	408	60	(	(	PUNCT
ejpam-6981	408	61	ε+	ε+	X
ejpam-6981	408	62	ϱ)f	ϱ)f	X
ejpam-6981	408	63	)	)	PUNCT
ejpam-6981	408	64	sl(q(t))−q(0	sl(q(t))−q(0	PROPN
ejpam-6981	408	65	)	)	PUNCT
ejpam-6981	408	66	s+	s+	PUNCT
ejpam-6981	408	67	η(1−	η(1−	PROPN
ejpam-6981	408	68	s	s	PART
ejpam-6981	408	69	)	)	PUNCT
ejpam-6981	408	70	=	=	SYM
ejpam-6981	408	71	l	l	NOUN
ejpam-6981	408	72	(	(	PUNCT
ejpam-6981	408	73	ϵf	ϵf	PROPN
ejpam-6981	408	74	−	−	PROPN
ejpam-6981	408	75	(	(	PUNCT
ejpam-6981	408	76	µ+	µ+	X
ejpam-6981	408	77	ϱ+	ϱ+	X
ejpam-6981	408	78	κ)q	κ)q	X
ejpam-6981	408	79	)	)	PUNCT
ejpam-6981	408	80	(	(	PUNCT
ejpam-6981	408	81	5.1	5.1	NUM
ejpam-6981	408	82	)	)	PUNCT
ejpam-6981	408	83	after	after	ADP
ejpam-6981	408	84	reordering	reorder	VERB
ejpam-6981	408	85	,	,	PUNCT
ejpam-6981	408	86	we	we	PRON
ejpam-6981	408	87	get	get	VERB
ejpam-6981	408	88	l(u(t	l(u(t	PROPN
ejpam-6981	408	89	)	)	PUNCT
ejpam-6981	408	90	)	)	PUNCT
ejpam-6981	409	1	=	=	SYM
ejpam-6981	409	2	u(0	u(0	NOUN
ejpam-6981	409	3	)	)	PUNCT
ejpam-6981	409	4	)	)	PUNCT
ejpam-6981	410	1	s	s	VERB
ejpam-6981	411	1	+	+	CCONJ
ejpam-6981	411	2	(	(	PUNCT
ejpam-6981	411	3	s+	s+	X
ejpam-6981	411	4	η(1−	η(1−	PROPN
ejpam-6981	411	5	s	s	PART
ejpam-6981	411	6	)	)	PUNCT
ejpam-6981	411	7	s	s	PART
ejpam-6981	411	8	)	)	PUNCT
ejpam-6981	411	9	l	l	NOUN
ejpam-6981	411	10	(	(	PUNCT
ejpam-6981	411	11	qπ	qπ	NOUN
ejpam-6981	411	12	+	+	CCONJ
ejpam-6981	411	13	(	(	PUNCT
ejpam-6981	411	14	1−	1−	NUM
ejpam-6981	411	15	b)ξi	b)ξi	NOUN
ejpam-6981	411	16	+	+	CCONJ
ejpam-6981	411	17	ϕv	ϕv	ADV
ejpam-6981	411	18	−	−	PROPN
ejpam-6981	411	19	(	(	PUNCT
ejpam-6981	411	20	σ	σ	X
ejpam-6981	411	21	+	+	NOUN
ejpam-6981	411	22	ψ	ψ	X
ejpam-6981	411	23	+	+	CCONJ
ejpam-6981	411	24	ϱ)u	ϱ)u	ADJ
ejpam-6981	411	25	)	)	PUNCT
ejpam-6981	411	26	,	,	PUNCT
ejpam-6981	411	27	l(e(t	l(e(t	ADJ
ejpam-6981	411	28	)	)	PUNCT
ejpam-6981	411	29	)	)	PUNCT
ejpam-6981	412	1	=	=	PUNCT
ejpam-6981	412	2	e(0	e(0	NOUN
ejpam-6981	412	3	)	)	PUNCT
ejpam-6981	412	4	)	)	PUNCT
ejpam-6981	413	1	s	s	VERB
ejpam-6981	414	1	+	+	CCONJ
ejpam-6981	414	2	(	(	PUNCT
ejpam-6981	414	3	s+	s+	X
ejpam-6981	414	4	η(1−	η(1−	PROPN
ejpam-6981	414	5	s	s	PART
ejpam-6981	414	6	)	)	PUNCT
ejpam-6981	414	7	s	s	PART
ejpam-6981	414	8	)	)	PUNCT
ejpam-6981	414	9	l	l	NOUN
ejpam-6981	414	10	(	(	PUNCT
ejpam-6981	414	11	σu	σu	INTJ
ejpam-6981	414	12	−	−	PROPN
ejpam-6981	414	13	(	(	PUNCT
ejpam-6981	414	14	χ+	χ+	NUM
ejpam-6981	414	15	ϱ)e	ϱ)e	NOUN
ejpam-6981	414	16	)	)	PUNCT
ejpam-6981	414	17	,	,	PUNCT
ejpam-6981	414	18	l(i(t	l(i(t	PROPN
ejpam-6981	414	19	)	)	PUNCT
ejpam-6981	414	20	)	)	PUNCT
ejpam-6981	415	1	=	=	SYM
ejpam-6981	415	2	i(0	i(0	PROPN
ejpam-6981	415	3	)	)	PUNCT
ejpam-6981	415	4	)	)	PUNCT
ejpam-6981	416	1	s	s	VERB
ejpam-6981	417	1	+	+	CCONJ
ejpam-6981	417	2	(	(	PUNCT
ejpam-6981	417	3	s+	s+	X
ejpam-6981	417	4	η(1−	η(1−	PROPN
ejpam-6981	417	5	s	s	PART
ejpam-6981	417	6	)	)	PUNCT
ejpam-6981	417	7	s	s	PART
ejpam-6981	417	8	)	)	PUNCT
ejpam-6981	417	9	l	l	NOUN
ejpam-6981	417	10	(	(	PUNCT
ejpam-6981	417	11	χe	χe	PROPN
ejpam-6981	417	12	−	−	PROPN
ejpam-6981	417	13	(	(	PUNCT
ejpam-6981	417	14	ξ	ξ	X
ejpam-6981	417	15	+	+	PUNCT
ejpam-6981	417	16	ϱ+	ϱ+	NOUN
ejpam-6981	417	17	∂)i	∂)i	PROPN
ejpam-6981	417	18	)	)	PUNCT
ejpam-6981	417	19	,	,	PUNCT
ejpam-6981	417	20	l(v	l(v	NOUN
ejpam-6981	417	21	(	(	PUNCT
ejpam-6981	417	22	t	t	PROPN
ejpam-6981	417	23	)	)	PUNCT
ejpam-6981	417	24	)	)	PUNCT
ejpam-6981	418	1	=	=	SYM
ejpam-6981	418	2	v	v	X
ejpam-6981	418	3	(	(	PUNCT
ejpam-6981	418	4	0	0	NUM
ejpam-6981	418	5	)	)	PUNCT
ejpam-6981	418	6	)	)	PUNCT
ejpam-6981	418	7	s	s	VERB
ejpam-6981	419	1	+	+	CCONJ
ejpam-6981	419	2	(	(	PUNCT
ejpam-6981	419	3	s+	s+	X
ejpam-6981	419	4	η(1−	η(1−	PROPN
ejpam-6981	419	5	s	s	PART
ejpam-6981	419	6	)	)	PUNCT
ejpam-6981	419	7	s	s	PART
ejpam-6981	419	8	)	)	PUNCT
ejpam-6981	419	9	l	l	NOUN
ejpam-6981	419	10	(	(	PUNCT
ejpam-6981	419	11	(	(	PUNCT
ejpam-6981	419	12	1−	1−	NUM
ejpam-6981	419	13	q)π	q)π	NOUN
ejpam-6981	420	1	+	+	CCONJ
ejpam-6981	420	2	µq+	µq+	ADJ
ejpam-6981	420	3	ψu	ψu	NOUN
ejpam-6981	420	4	+	+	NOUN
ejpam-6981	420	5	bξi	bξi	NOUN
ejpam-6981	420	6	−	−	PROPN
ejpam-6981	420	7	(	(	PUNCT
ejpam-6981	420	8	θ	θ	PROPN
ejpam-6981	420	9	+	+	PUNCT
ejpam-6981	420	10	ϕ+	ϕ+	CCONJ
ejpam-6981	420	11	ϱ)v	ϱ)v	NOUN
ejpam-6981	420	12	)	)	PUNCT
ejpam-6981	420	13	,	,	PUNCT
ejpam-6981	420	14	l(f	l(f	PROPN
ejpam-6981	420	15	(	(	PUNCT
ejpam-6981	420	16	t	t	PROPN
ejpam-6981	420	17	)	)	PUNCT
ejpam-6981	420	18	)	)	PUNCT
ejpam-6981	421	1	=	=	SYM
ejpam-6981	421	2	f	f	PROPN
ejpam-6981	421	3	(	(	PUNCT
ejpam-6981	421	4	0	0	NUM
ejpam-6981	421	5	)	)	PUNCT
ejpam-6981	421	6	)	)	PUNCT
ejpam-6981	422	1	s	s	VERB
ejpam-6981	423	1	+	+	CCONJ
ejpam-6981	423	2	(	(	PUNCT
ejpam-6981	423	3	s+	s+	X
ejpam-6981	423	4	η(1−	η(1−	PROPN
ejpam-6981	423	5	s	s	PART
ejpam-6981	423	6	)	)	PUNCT
ejpam-6981	423	7	s	s	PART
ejpam-6981	423	8	)	)	PUNCT
ejpam-6981	423	9	l	l	NOUN
ejpam-6981	423	10	(	(	PUNCT
ejpam-6981	423	11	θv	θv	PROPN
ejpam-6981	423	12	−	−	PROPN
ejpam-6981	423	13	(	(	PUNCT
ejpam-6981	423	14	ε+	ε+	X
ejpam-6981	423	15	ϱ)f	ϱ)f	X
ejpam-6981	423	16	)	)	PUNCT
ejpam-6981	423	17	,	,	PUNCT
ejpam-6981	423	18	l(q(t	l(q(t	PROPN
ejpam-6981	423	19	)	)	PUNCT
ejpam-6981	423	20	)	)	PUNCT
ejpam-6981	424	1	=	=	SYM
ejpam-6981	424	2	q(0	q(0	PROPN
ejpam-6981	424	3	)	)	PUNCT
ejpam-6981	424	4	)	)	PUNCT
ejpam-6981	425	1	s	s	VERB
ejpam-6981	426	1	+	+	CCONJ
ejpam-6981	426	2	(	(	PUNCT
ejpam-6981	426	3	s+	s+	X
ejpam-6981	426	4	η(1−	η(1−	PROPN
ejpam-6981	426	5	s	s	PART
ejpam-6981	426	6	)	)	PUNCT
ejpam-6981	426	7	s	s	PART
ejpam-6981	426	8	)	)	PUNCT
ejpam-6981	426	9	l	l	NOUN
ejpam-6981	426	10	(	(	PUNCT
ejpam-6981	426	11	ϵf	ϵf	NUM
ejpam-6981	426	12	−	−	PROPN
ejpam-6981	426	13	(	(	PUNCT
ejpam-6981	426	14	µ+	µ+	X
ejpam-6981	426	15	ϱ+	ϱ+	X
ejpam-6981	426	16	κ)q	κ)q	X
ejpam-6981	426	17	)	)	PUNCT
ejpam-6981	426	18	.	.	PUNCT
ejpam-6981	427	1	(	(	PUNCT
ejpam-6981	427	2	5.2	5.2	NUM
ejpam-6981	427	3	)	)	PUNCT
ejpam-6981	427	4	in	in	ADP
ejpam-6981	427	5	addition	addition	NOUN
ejpam-6981	427	6	,	,	PUNCT
ejpam-6981	427	7	the	the	DET
ejpam-6981	427	8	inverse	inverse	NOUN
ejpam-6981	427	9	laplace	laplace	NOUN
ejpam-6981	427	10	transform	transform	NOUN
ejpam-6981	427	11	applied	apply	VERB
ejpam-6981	427	12	to	to	ADP
ejpam-6981	427	13	equation	equation	NOUN
ejpam-6981	427	14	(	(	PUNCT
ejpam-6981	427	15	5.2	5.2	NUM
ejpam-6981	427	16	)	)	PUNCT
ejpam-6981	427	17	produces	produce	VERB
ejpam-6981	427	18	u(t	u(t	NOUN
ejpam-6981	427	19	)	)	PUNCT
ejpam-6981	427	20	=	=	SYM
ejpam-6981	427	21	u(0	u(0	NOUN
ejpam-6981	427	22	)	)	PUNCT
ejpam-6981	428	1	+	+	CCONJ
ejpam-6981	429	1	l−1	l−1	NOUN
ejpam-6981	429	2	[	[	X
ejpam-6981	429	3	(	(	PUNCT
ejpam-6981	429	4	s+	s+	ADP
ejpam-6981	429	5	η(1−	η(1−	PROPN
ejpam-6981	429	6	s	s	PART
ejpam-6981	429	7	)	)	PUNCT
ejpam-6981	429	8	s	s	PART
ejpam-6981	429	9	)	)	PUNCT
ejpam-6981	429	10	l	l	NOUN
ejpam-6981	429	11	(	(	PUNCT
ejpam-6981	429	12	qπ	qπ	NOUN
ejpam-6981	429	13	+	+	CCONJ
ejpam-6981	429	14	(	(	PUNCT
ejpam-6981	429	15	1−	1−	NUM
ejpam-6981	429	16	b)ξi	b)ξi	NOUN
ejpam-6981	429	17	+	+	CCONJ
ejpam-6981	429	18	ϕv	ϕv	ADV
ejpam-6981	429	19	−	−	PROPN
ejpam-6981	429	20	(	(	PUNCT
ejpam-6981	429	21	σ	σ	X
ejpam-6981	429	22	+	+	NOUN
ejpam-6981	429	23	ψ	ψ	X
ejpam-6981	429	24	+	+	CCONJ
ejpam-6981	429	25	ϱ)u	ϱ)u	ADJ
ejpam-6981	429	26	)	)	PUNCT
ejpam-6981	429	27	]	]	PUNCT
ejpam-6981	429	28	,	,	PUNCT
ejpam-6981	429	29	e(t	e(t	NOUN
ejpam-6981	429	30	)	)	PUNCT
ejpam-6981	429	31	=	=	SYM
ejpam-6981	429	32	e(0	e(0	NOUN
ejpam-6981	429	33	)	)	PUNCT
ejpam-6981	429	34	+	+	CCONJ
ejpam-6981	430	1	l−1	l−1	NOUN
ejpam-6981	430	2	[	[	X
ejpam-6981	430	3	(	(	PUNCT
ejpam-6981	430	4	s+	s+	ADP
ejpam-6981	430	5	η(1−	η(1−	PROPN
ejpam-6981	430	6	s	s	PART
ejpam-6981	430	7	)	)	PUNCT
ejpam-6981	430	8	s	s	PART
ejpam-6981	430	9	)	)	PUNCT
ejpam-6981	430	10	l	l	NOUN
ejpam-6981	430	11	(	(	PUNCT
ejpam-6981	430	12	σu	σu	INTJ
ejpam-6981	430	13	−	−	PROPN
ejpam-6981	430	14	(	(	PUNCT
ejpam-6981	430	15	χ+	χ+	NUM
ejpam-6981	430	16	ϱ)e	ϱ)e	NOUN
ejpam-6981	430	17	)	)	PUNCT
ejpam-6981	430	18	]	]	PUNCT
ejpam-6981	430	19	,	,	PUNCT
ejpam-6981	430	20	i(t	i(t	PROPN
ejpam-6981	430	21	)	)	PUNCT
ejpam-6981	430	22	=	=	SYM
ejpam-6981	430	23	i(0	i(0	PROPN
ejpam-6981	430	24	)	)	PUNCT
ejpam-6981	431	1	+	+	PUNCT
ejpam-6981	432	1	l−1	l−1	NOUN
ejpam-6981	432	2	[	[	X
ejpam-6981	432	3	(	(	PUNCT
ejpam-6981	432	4	s+	s+	ADP
ejpam-6981	432	5	η(1−	η(1−	PROPN
ejpam-6981	432	6	s	s	PART
ejpam-6981	432	7	)	)	PUNCT
ejpam-6981	432	8	s	s	PART
ejpam-6981	432	9	)	)	PUNCT
ejpam-6981	432	10	l	l	NOUN
ejpam-6981	432	11	(	(	PUNCT
ejpam-6981	432	12	χe	χe	PROPN
ejpam-6981	432	13	−	−	PROPN
ejpam-6981	433	1	(	(	PUNCT
ejpam-6981	433	2	ξ	ξ	X
ejpam-6981	433	3	+	+	PUNCT
ejpam-6981	433	4	ϱ+	ϱ+	NOUN
ejpam-6981	433	5	∂)i	∂)i	PROPN
ejpam-6981	433	6	)	)	PUNCT
ejpam-6981	433	7	]	]	PUNCT
ejpam-6981	433	8	,	,	PUNCT
ejpam-6981	433	9	v	v	X
ejpam-6981	433	10	(	(	PUNCT
ejpam-6981	433	11	t	t	NOUN
ejpam-6981	433	12	)	)	PUNCT
ejpam-6981	433	13	=	=	NOUN
ejpam-6981	433	14	v	v	X
ejpam-6981	433	15	(	(	PUNCT
ejpam-6981	433	16	0	0	NUM
ejpam-6981	433	17	)	)	PUNCT
ejpam-6981	434	1	+	+	CCONJ
ejpam-6981	434	2	l−1	l−1	NOUN
ejpam-6981	434	3	[	[	X
ejpam-6981	434	4	(	(	PUNCT
ejpam-6981	434	5	s+	s+	ADP
ejpam-6981	434	6	η(1−	η(1−	PROPN
ejpam-6981	434	7	s	s	PART
ejpam-6981	434	8	)	)	PUNCT
ejpam-6981	434	9	s	s	PART
ejpam-6981	434	10	)	)	PUNCT
ejpam-6981	434	11	l	l	NOUN
ejpam-6981	434	12	(	(	PUNCT
ejpam-6981	434	13	(	(	PUNCT
ejpam-6981	434	14	1−	1−	NUM
ejpam-6981	434	15	q)π	q)π	NOUN
ejpam-6981	435	1	+	+	CCONJ
ejpam-6981	435	2	µq+	µq+	ADJ
ejpam-6981	435	3	ψu	ψu	NOUN
ejpam-6981	435	4	+	+	NOUN
ejpam-6981	435	5	bξi	bξi	NOUN
ejpam-6981	435	6	−	−	PROPN
ejpam-6981	435	7	(	(	PUNCT
ejpam-6981	435	8	θ	θ	PROPN
ejpam-6981	435	9	+	+	PUNCT
ejpam-6981	435	10	ϕ+	ϕ+	ADV
ejpam-6981	435	11	ϱ)v	ϱ)v	NOUN
ejpam-6981	435	12	)	)	PUNCT
ejpam-6981	435	13	]	]	PUNCT
ejpam-6981	435	14	,	,	PUNCT
ejpam-6981	435	15	a.	a.	NOUN
ejpam-6981	435	16	shaikh	shaikh	PROPN
ejpam-6981	435	17	,	,	PUNCT
ejpam-6981	435	18	s.	s.	PROPN
ejpam-6981	435	19	howal	howal	PROPN
ejpam-6981	435	20	,	,	PUNCT
ejpam-6981	435	21	k.	k.	PROPN
ejpam-6981	435	22	s.	s.	PROPN
ejpam-6981	435	23	nisar	nisar	PROPN
ejpam-6981	435	24	/	/	SYM
ejpam-6981	435	25	eur	eur	PROPN
ejpam-6981	435	26	.	.	PUNCT
ejpam-6981	436	1	j.	j.	PROPN
ejpam-6981	436	2	pure	pure	PROPN
ejpam-6981	436	3	appl	appl	PROPN
ejpam-6981	436	4	.	.	PROPN
ejpam-6981	436	5	math	math	PROPN
ejpam-6981	436	6	,	,	PUNCT
ejpam-6981	436	7	18	18	NUM
ejpam-6981	436	8	(	(	PUNCT
ejpam-6981	436	9	4	4	NUM
ejpam-6981	436	10	)	)	PUNCT
ejpam-6981	436	11	(	(	PUNCT
ejpam-6981	436	12	2025	2025	NUM
ejpam-6981	436	13	)	)	PUNCT
ejpam-6981	436	14	,	,	PUNCT
ejpam-6981	436	15	6981	6981	NUM
ejpam-6981	436	16	15	15	NUM
ejpam-6981	436	17	f	f	NOUN
ejpam-6981	436	18	(	(	PUNCT
ejpam-6981	436	19	t	t	PROPN
ejpam-6981	436	20	)	)	PUNCT
ejpam-6981	436	21	=	=	SYM
ejpam-6981	437	1	f	f	PROPN
ejpam-6981	437	2	(	(	PUNCT
ejpam-6981	437	3	0	0	NUM
ejpam-6981	437	4	)	)	PUNCT
ejpam-6981	437	5	+	+	CCONJ
ejpam-6981	438	1	l−1	l−1	NOUN
ejpam-6981	438	2	[	[	X
ejpam-6981	438	3	(	(	PUNCT
ejpam-6981	438	4	s+	s+	ADP
ejpam-6981	438	5	η(1−	η(1−	PROPN
ejpam-6981	438	6	s	s	PART
ejpam-6981	438	7	)	)	PUNCT
ejpam-6981	438	8	s	s	PART
ejpam-6981	438	9	)	)	PUNCT
ejpam-6981	438	10	l	l	NOUN
ejpam-6981	438	11	(	(	PUNCT
ejpam-6981	438	12	θv	θv	PROPN
ejpam-6981	438	13	−	−	PROPN
ejpam-6981	438	14	(	(	PUNCT
ejpam-6981	438	15	ε+	ε+	X
ejpam-6981	438	16	ϱ)f	ϱ)f	ADJ
ejpam-6981	438	17	)	)	PUNCT
ejpam-6981	438	18	]	]	PUNCT
ejpam-6981	438	19	,	,	PUNCT
ejpam-6981	438	20	q(t	q(t	PROPN
ejpam-6981	438	21	)	)	PUNCT
ejpam-6981	438	22	=	=	SYM
ejpam-6981	438	23	q(0	q(0	PROPN
ejpam-6981	438	24	)	)	PUNCT
ejpam-6981	439	1	+	+	CCONJ
ejpam-6981	440	1	l−1	l−1	NOUN
ejpam-6981	440	2	[	[	X
ejpam-6981	440	3	(	(	PUNCT
ejpam-6981	440	4	s+	s+	ADP
ejpam-6981	440	5	η(1−	η(1−	PROPN
ejpam-6981	440	6	s	s	PART
ejpam-6981	440	7	)	)	PUNCT
ejpam-6981	440	8	s	s	PART
ejpam-6981	440	9	)	)	PUNCT
ejpam-6981	440	10	l	l	NOUN
ejpam-6981	440	11	(	(	PUNCT
ejpam-6981	440	12	ϵf	ϵf	NUM
ejpam-6981	440	13	−	−	PROPN
ejpam-6981	440	14	(	(	PUNCT
ejpam-6981	440	15	µ+	µ+	X
ejpam-6981	440	16	ϱ+	ϱ+	X
ejpam-6981	440	17	κ)q	κ)q	X
ejpam-6981	440	18	)	)	PUNCT
ejpam-6981	440	19	]	]	PUNCT
ejpam-6981	440	20	.	.	PUNCT
ejpam-6981	441	1	(	(	PUNCT
ejpam-6981	441	2	5.3	5.3	NUM
ejpam-6981	441	3	)	)	PUNCT
ejpam-6981	441	4	the	the	DET
ejpam-6981	441	5	method	method	NOUN
ejpam-6981	441	6	’s	’s	PART
ejpam-6981	441	7	infinite	infinite	PROPN
ejpam-6981	441	8	series	series	NOUN
ejpam-6981	441	9	solutions	solution	NOUN
ejpam-6981	441	10	are	be	AUX
ejpam-6981	441	11	provided	provide	VERB
ejpam-6981	441	12	as	as	ADP
ejpam-6981	441	13	,	,	PUNCT
ejpam-6981	441	14	u	u	NOUN
ejpam-6981	441	15	=	=	NOUN
ejpam-6981	441	16	∞∑	∞∑	PROPN
ejpam-6981	441	17	n=0	n=0	NUM
ejpam-6981	441	18	un	un	NOUN
ejpam-6981	441	19	,	,	PUNCT
ejpam-6981	441	20	e	e	X
ejpam-6981	441	21	=	=	PUNCT
ejpam-6981	441	22	∞∑	∞∑	PROPN
ejpam-6981	441	23	n=0	n=0	NUM
ejpam-6981	441	24	en	en	X
ejpam-6981	441	25	,	,	PUNCT
ejpam-6981	441	26	i	i	PRON
ejpam-6981	441	27	=	=	PUNCT
ejpam-6981	441	28	∞∑	∞∑	PRON
ejpam-6981	441	29	n=0	n=0	PROPN
ejpam-6981	441	30	in	in	ADP
ejpam-6981	441	31	,	,	PUNCT
ejpam-6981	441	32	v	v	NOUN
ejpam-6981	441	33	=	=	SYM
ejpam-6981	441	34	∞∑	∞∑	NUM
ejpam-6981	441	35	n=0	n=0	NUM
ejpam-6981	441	36	vn	vn	NOUN
ejpam-6981	441	37	,	,	PUNCT
ejpam-6981	441	38	f	f	PROPN
ejpam-6981	441	39	=	=	PUNCT
ejpam-6981	442	1	∞∑	∞∑	PROPN
ejpam-6981	442	2	n=0	n=0	NUM
ejpam-6981	442	3	fn	fn	NOUN
ejpam-6981	442	4	,	,	PUNCT
ejpam-6981	442	5	q	q	X
ejpam-6981	442	6	=	=	PUNCT
ejpam-6981	442	7	∞∑	∞∑	NUM
ejpam-6981	442	8	n=0	n=0	PROPN
ejpam-6981	442	9	qn	qn	NOUN
ejpam-6981	442	10	(	(	PUNCT
ejpam-6981	442	11	5.4	5.4	NUM
ejpam-6981	442	12	)	)	PUNCT
ejpam-6981	442	13	the	the	DET
ejpam-6981	442	14	recursive	recursive	ADJ
ejpam-6981	442	15	formula	formula	NOUN
ejpam-6981	442	16	that	that	PRON
ejpam-6981	442	17	follows	follow	VERB
ejpam-6981	442	18	is	be	AUX
ejpam-6981	442	19	then	then	ADV
ejpam-6981	442	20	obtained	obtain	VERB
ejpam-6981	442	21	by	by	ADP
ejpam-6981	442	22	applying	apply	VERB
ejpam-6981	442	23	beginning	begin	VERB
ejpam-6981	442	24	conditions	condition	NOUN
ejpam-6981	442	25	.	.	PUNCT
ejpam-6981	443	1	un+1(t	un+1(t	ADJ
ejpam-6981	443	2	)	)	PUNCT
ejpam-6981	444	1	=	=	SYM
ejpam-6981	444	2	u(0	u(0	NOUN
ejpam-6981	444	3	)	)	PUNCT
ejpam-6981	445	1	+	+	CCONJ
ejpam-6981	446	1	l−1	l−1	NOUN
ejpam-6981	446	2	[	[	X
ejpam-6981	446	3	(	(	PUNCT
ejpam-6981	446	4	s+	s+	ADP
ejpam-6981	446	5	η(1−	η(1−	PROPN
ejpam-6981	446	6	s	s	PART
ejpam-6981	446	7	)	)	PUNCT
ejpam-6981	446	8	s	s	PART
ejpam-6981	446	9	)	)	PUNCT
ejpam-6981	446	10	l	l	NOUN
ejpam-6981	446	11	(	(	PUNCT
ejpam-6981	446	12	qπ	qπ	NOUN
ejpam-6981	446	13	+	+	CCONJ
ejpam-6981	446	14	(	(	PUNCT
ejpam-6981	446	15	1−	1−	NUM
ejpam-6981	446	16	b)ξin	b)ξin	PROPN
ejpam-6981	446	17	+	+	CCONJ
ejpam-6981	446	18	ϕvn	ϕvn	PROPN
ejpam-6981	446	19	−	−	PROPN
ejpam-6981	446	20	(	(	PUNCT
ejpam-6981	446	21	σ	σ	PROPN
ejpam-6981	446	22	+	+	NOUN
ejpam-6981	446	23	ψ	ψ	X
ejpam-6981	446	24	+	+	X
ejpam-6981	446	25	ϱ)un	ϱ)un	PROPN
ejpam-6981	446	26	)	)	PUNCT
ejpam-6981	446	27	]	]	PUNCT
ejpam-6981	446	28	,	,	PUNCT
ejpam-6981	446	29	en+1(t	en+1(t	PROPN
ejpam-6981	446	30	)	)	PUNCT
ejpam-6981	446	31	=	=	SYM
ejpam-6981	447	1	e(0	e(0	NOUN
ejpam-6981	447	2	)	)	PUNCT
ejpam-6981	448	1	+	+	CCONJ
ejpam-6981	449	1	l−1	l−1	NOUN
ejpam-6981	449	2	[	[	X
ejpam-6981	449	3	(	(	PUNCT
ejpam-6981	449	4	s+	s+	ADP
ejpam-6981	449	5	η(1−	η(1−	PROPN
ejpam-6981	449	6	s	s	PART
ejpam-6981	449	7	)	)	PUNCT
ejpam-6981	449	8	s	s	PART
ejpam-6981	449	9	)	)	PUNCT
ejpam-6981	449	10	l	l	NOUN
ejpam-6981	449	11	(	(	PUNCT
ejpam-6981	449	12	σun	σun	INTJ
ejpam-6981	449	13	−	−	PROPN
ejpam-6981	450	1	(	(	PUNCT
ejpam-6981	451	1	χ+	χ+	PROPN
ejpam-6981	451	2	ϱ)en	ϱ)en	PROPN
ejpam-6981	451	3	)	)	PUNCT
ejpam-6981	451	4	]	]	PUNCT
ejpam-6981	451	5	,	,	PUNCT
ejpam-6981	451	6	in+1(t	in+1(t	PROPN
ejpam-6981	451	7	)	)	PUNCT
ejpam-6981	452	1	=	=	SYM
ejpam-6981	452	2	i(0	i(0	PROPN
ejpam-6981	452	3	)	)	PUNCT
ejpam-6981	453	1	+	+	PUNCT
ejpam-6981	454	1	l−1	l−1	NOUN
ejpam-6981	454	2	[	[	X
ejpam-6981	454	3	(	(	PUNCT
ejpam-6981	454	4	s+	s+	ADP
ejpam-6981	454	5	η(1−	η(1−	PROPN
ejpam-6981	454	6	s	s	PART
ejpam-6981	454	7	)	)	PUNCT
ejpam-6981	454	8	s	s	PART
ejpam-6981	454	9	)	)	PUNCT
ejpam-6981	454	10	l	l	NOUN
ejpam-6981	454	11	(	(	PUNCT
ejpam-6981	454	12	χen	χen	PROPN
ejpam-6981	454	13	−	−	PROPN
ejpam-6981	454	14	(	(	PUNCT
ejpam-6981	454	15	ξ	ξ	X
ejpam-6981	454	16	+	+	PUNCT
ejpam-6981	454	17	ϱ+	ϱ+	PUNCT
ejpam-6981	454	18	∂)in	∂)in	ADJ
ejpam-6981	454	19	)	)	PUNCT
ejpam-6981	454	20	]	]	PUNCT
ejpam-6981	454	21	,	,	PUNCT
ejpam-6981	454	22	vn+1(t	vn+1(t	PROPN
ejpam-6981	454	23	)	)	PUNCT
ejpam-6981	454	24	=	=	SYM
ejpam-6981	454	25	v	v	X
ejpam-6981	454	26	(	(	PUNCT
ejpam-6981	454	27	0	0	NUM
ejpam-6981	454	28	)	)	PUNCT
ejpam-6981	454	29	+	+	CCONJ
ejpam-6981	454	30	l−1	l−1	NOUN
ejpam-6981	454	31	[	[	X
ejpam-6981	454	32	(	(	PUNCT
ejpam-6981	454	33	s+	s+	ADP
ejpam-6981	454	34	η(1−	η(1−	PROPN
ejpam-6981	454	35	s	s	PART
ejpam-6981	454	36	)	)	PUNCT
ejpam-6981	454	37	s	s	PART
ejpam-6981	454	38	)	)	PUNCT
ejpam-6981	454	39	l	l	NOUN
ejpam-6981	454	40	(	(	PUNCT
ejpam-6981	454	41	(	(	PUNCT
ejpam-6981	454	42	1−	1−	NUM
ejpam-6981	454	43	q)π	q)π	NOUN
ejpam-6981	455	1	+	+	NUM
ejpam-6981	455	2	µqn	µqn	NOUN
ejpam-6981	455	3	+	+	CCONJ
ejpam-6981	455	4	ψun	ψun	NOUN
ejpam-6981	455	5	+	+	CCONJ
ejpam-6981	455	6	bξin	bξin	PROPN
ejpam-6981	455	7	−	−	PROPN
ejpam-6981	455	8	(	(	PUNCT
ejpam-6981	455	9	θ	θ	NOUN
ejpam-6981	455	10	+	+	PUNCT
ejpam-6981	455	11	ϕ+	ϕ+	PROPN
ejpam-6981	455	12	ϱ)vn	ϱ)vn	ADJ
ejpam-6981	455	13	)	)	PUNCT
ejpam-6981	455	14	]	]	PUNCT
ejpam-6981	455	15	,	,	PUNCT
ejpam-6981	455	16	fn+1(t	fn+1(t	PROPN
ejpam-6981	455	17	)	)	PUNCT
ejpam-6981	456	1	=	=	SYM
ejpam-6981	456	2	f	f	PROPN
ejpam-6981	456	3	(	(	PUNCT
ejpam-6981	456	4	0	0	NUM
ejpam-6981	456	5	)	)	PUNCT
ejpam-6981	456	6	+	+	CCONJ
ejpam-6981	457	1	l−1	l−1	NOUN
ejpam-6981	457	2	[	[	X
ejpam-6981	457	3	(	(	PUNCT
ejpam-6981	457	4	s+	s+	ADP
ejpam-6981	457	5	η(1−	η(1−	PROPN
ejpam-6981	457	6	s	s	PART
ejpam-6981	457	7	)	)	PUNCT
ejpam-6981	457	8	s	s	PART
ejpam-6981	457	9	)	)	PUNCT
ejpam-6981	457	10	l	l	NOUN
ejpam-6981	457	11	(	(	PUNCT
ejpam-6981	457	12	θvn	θvn	NOUN
ejpam-6981	457	13	−	−	PROPN
ejpam-6981	457	14	(	(	PUNCT
ejpam-6981	457	15	ε+	ε+	X
ejpam-6981	457	16	ϱ)fn	ϱ)fn	PROPN
ejpam-6981	457	17	)	)	PUNCT
ejpam-6981	457	18	]	]	PUNCT
ejpam-6981	457	19	,	,	PUNCT
ejpam-6981	457	20	qn+1(t	qn+1(t	PROPN
ejpam-6981	457	21	)	)	PUNCT
ejpam-6981	457	22	=	=	SYM
ejpam-6981	457	23	q(0	q(0	PROPN
ejpam-6981	457	24	)	)	PUNCT
ejpam-6981	458	1	+	+	CCONJ
ejpam-6981	459	1	l−1	l−1	NOUN
ejpam-6981	459	2	[	[	X
ejpam-6981	459	3	(	(	PUNCT
ejpam-6981	459	4	s+	s+	ADP
ejpam-6981	459	5	η(1−	η(1−	PROPN
ejpam-6981	459	6	s	s	PART
ejpam-6981	459	7	)	)	PUNCT
ejpam-6981	459	8	s	s	PART
ejpam-6981	459	9	)	)	PUNCT
ejpam-6981	459	10	l	l	NOUN
ejpam-6981	459	11	(	(	PUNCT
ejpam-6981	459	12	ϵfn	ϵfn	NOUN
ejpam-6981	459	13	−	−	X
ejpam-6981	459	14	(	(	PUNCT
ejpam-6981	459	15	µ+	µ+	X
ejpam-6981	459	16	ϱ+	ϱ+	NUM
ejpam-6981	459	17	κ)qn	κ)qn	PROPN
ejpam-6981	459	18	)	)	PUNCT
ejpam-6981	459	19	]	]	PUNCT
ejpam-6981	459	20	.	.	PUNCT
ejpam-6981	460	1	(	(	PUNCT
ejpam-6981	460	2	5.5	5.5	NUM
ejpam-6981	460	3	)	)	PUNCT
ejpam-6981	460	4	5.2	5.2	NUM
ejpam-6981	460	5	.	.	PUNCT
ejpam-6981	461	1	analysis	analysis	NOUN
ejpam-6981	461	2	of	of	ADP
ejpam-6981	461	3	iteration	iteration	NOUN
ejpam-6981	461	4	method	method	NOUN
ejpam-6981	461	5	as	as	ADP
ejpam-6981	461	6	a	a	DET
ejpam-6981	461	7	banach	banach	NOUN
ejpam-6981	461	8	space	space	NOUN
ejpam-6981	461	9	,	,	PUNCT
ejpam-6981	461	10	consider	consider	VERB
ejpam-6981	461	11	(	(	PUNCT
ejpam-6981	461	12	b	b	NOUN
ejpam-6981	461	13	,	,	PUNCT
ejpam-6981	461	14	∥	∥	X
ejpam-6981	461	15	·	·	PUNCT
ejpam-6981	461	16	∥	∥	NUM
ejpam-6981	461	17	)	)	PUNCT
ejpam-6981	461	18	.	.	PUNCT
ejpam-6981	462	1	define	define	VERB
ejpam-6981	462	2	f	f	PROPN
ejpam-6981	462	3	as	as	ADP
ejpam-6981	462	4	the	the	DET
ejpam-6981	462	5	self	self	NOUN
ejpam-6981	462	6	-	-	PUNCT
ejpam-6981	462	7	map	map	NOUN
ejpam-6981	462	8	of	of	ADP
ejpam-6981	462	9	b1	b1	NOUN
ejpam-6981	462	10	,	,	PUNCT
ejpam-6981	462	11	whose	whose	DET
ejpam-6981	462	12	the	the	DET
ejpam-6981	462	13	repeating	repeat	VERB
ejpam-6981	462	14	process	process	NOUN
ejpam-6981	462	15	is	be	AUX
ejpam-6981	462	16	indicated	indicate	VERB
ejpam-6981	462	17	by	by	ADP
ejpam-6981	462	18	zn+1	zn+1	PROPN
ejpam-6981	462	19	=	=	SYM
ejpam-6981	462	20	g(j	g(j	PROPN
ejpam-6981	462	21	,	,	PUNCT
ejpam-6981	462	22	zn	zn	PROPN
ejpam-6981	462	23	)	)	PUNCT
ejpam-6981	462	24	.	.	PUNCT
ejpam-6981	463	1	let	let	AUX
ejpam-6981	463	2	j(f	j(f	PROPN
ejpam-6981	463	3	)	)	PUNCT
ejpam-6981	463	4	represent	represent	VERB
ejpam-6981	463	5	the	the	DET
ejpam-6981	463	6	fixed	fix	VERB
ejpam-6981	463	7	-	-	PUNCT
ejpam-6981	463	8	point	point	NOUN
ejpam-6981	463	9	set	set	NOUN
ejpam-6981	463	10	on	on	ADP
ejpam-6981	463	11	f	f	PROPN
ejpam-6981	463	12	.	.	PUNCT
ejpam-6981	464	1	additionally	additionally	ADV
ejpam-6981	464	2	,	,	PUNCT
ejpam-6981	464	3	f	f	PROPN
ejpam-6981	464	4	must	must	AUX
ejpam-6981	464	5	have	have	VERB
ejpam-6981	464	6	at	at	ADV
ejpam-6981	464	7	least	least	ADV
ejpam-6981	464	8	one	one	NUM
ejpam-6981	464	9	item	item	NOUN
ejpam-6981	464	10	for	for	SCONJ
ejpam-6981	464	11	zn	zn	PROPN
ejpam-6981	464	12	to	to	PART
ejpam-6981	464	13	approach	approach	VERB
ejpam-6981	464	14	a	a	DET
ejpam-6981	464	15	point	point	NOUN
ejpam-6981	465	1	i	i	X
ejpam-6981	465	2	∈	∈	PROPN
ejpam-6981	465	3	j(f	j(f	PROPN
ejpam-6981	465	4	)	)	PUNCT
ejpam-6981	465	5	.	.	PUNCT
ejpam-6981	466	1	after	after	ADP
ejpam-6981	466	2	defining	define	VERB
ejpam-6981	466	3	kn	kn	PROPN
ejpam-6981	466	4	=	=	SYM
ejpam-6981	466	5	∥yn+1	∥yn+1	PROPN
ejpam-6981	466	6	−	−	PROPN
ejpam-6981	466	7	g(f	g(f	NOUN
ejpam-6981	466	8	,	,	PUNCT
ejpam-6981	466	9	yn)∥	yn)∥	NOUN
ejpam-6981	466	10	,	,	PUNCT
ejpam-6981	466	11	let	let	VERB
ejpam-6981	466	12	{	{	PUNCT
ejpam-6981	466	13	yn	yn	PROPN
ejpam-6981	466	14	∈	∈	PROPN
ejpam-6981	466	15	b1	b1	NOUN
ejpam-6981	466	16	}	}	PUNCT
ejpam-6981	466	17	.	.	PUNCT
ejpam-6981	467	1	the	the	DET
ejpam-6981	467	2	iteration	iteration	NOUN
ejpam-6981	467	3	technique	technique	NOUN
ejpam-6981	467	4	zn+1	zn+1	PROPN
ejpam-6981	467	5	=	=	SYM
ejpam-6981	467	6	g(f	g(f	PROPN
ejpam-6981	467	7	,	,	PUNCT
ejpam-6981	467	8	zn	zn	X
ejpam-6981	467	9	)	)	PUNCT
ejpam-6981	467	10	is	be	AUX
ejpam-6981	467	11	referred	refer	VERB
ejpam-6981	467	12	to	to	ADP
ejpam-6981	467	13	as	as	ADP
ejpam-6981	467	14	f	f	PROPN
ejpam-6981	467	15	-stable	-stable	PROPN
ejpam-6981	467	16	if	if	SCONJ
ejpam-6981	467	17	lim	lim	PROPN
ejpam-6981	467	18	n→∞	n→∞	PRON
ejpam-6981	468	1	kn	kn	PROPN
ejpam-6981	468	2	=	=	SYM
ejpam-6981	468	3	0	0	NUM
ejpam-6981	468	4	implies	imply	VERB
ejpam-6981	468	5	that	that	SCONJ
ejpam-6981	468	6	lim	lim	PROPN
ejpam-6981	468	7	n→∞	n→∞	X
ejpam-6981	468	8	yn	yn	PROPN
ejpam-6981	468	9	=	=	PROPN
ejpam-6981	468	10	i.	i.	PROPN
ejpam-6981	468	11	in	in	ADP
ejpam-6981	468	12	contrast	contrast	NOUN
ejpam-6981	468	13	,	,	PUNCT
ejpam-6981	468	14	we	we	PRON
ejpam-6981	468	15	declare	declare	VERB
ejpam-6981	468	16	that	that	SCONJ
ejpam-6981	468	17	there	there	PRON
ejpam-6981	468	18	is	be	VERB
ejpam-6981	468	19	an	an	DET
ejpam-6981	468	20	upper	upper	ADJ
ejpam-6981	468	21	constraint	constraint	NOUN
ejpam-6981	468	22	on	on	ADP
ejpam-6981	468	23	the	the	DET
ejpam-6981	468	24	sequence	sequence	NOUN
ejpam-6981	468	25	{	{	PUNCT
ejpam-6981	468	26	yn	yn	NOUN
ejpam-6981	468	27	}	}	PUNCT
ejpam-6981	468	28	.	.	PUNCT
ejpam-6981	469	1	if	if	SCONJ
ejpam-6981	469	2	all	all	DET
ejpam-6981	469	3	these	these	DET
ejpam-6981	469	4	requirements	requirement	NOUN
ejpam-6981	469	5	are	be	AUX
ejpam-6981	469	6	met	meet	VERB
ejpam-6981	469	7	for	for	ADP
ejpam-6981	469	8	zn+1	zn+1	PROPN
ejpam-6981	469	9	=	=	SYM
ejpam-6981	469	10	fzn	fzn	NOUN
ejpam-6981	469	11	,	,	PUNCT
ejpam-6981	469	12	then	then	ADV
ejpam-6981	469	13	this	this	DET
ejpam-6981	469	14	iteration	iteration	NOUN
ejpam-6981	469	15	-	-	PUNCT
ejpam-6981	469	16	also	also	ADV
ejpam-6981	469	17	referred	refer	VERB
ejpam-6981	469	18	to	to	ADP
ejpam-6981	469	19	as	as	SCONJ
ejpam-6981	469	20	picard	picard	NOUN
ejpam-6981	469	21	’s	’s	PART
ejpam-6981	469	22	iteration	iteration	NOUN
ejpam-6981	469	23	-	-	PUNCT
ejpam-6981	469	24	is	be	AUX
ejpam-6981	469	25	f−	f−	NOUN
ejpam-6981	469	26	stable	stable	ADJ
ejpam-6981	469	27	.	.	PUNCT
ejpam-6981	470	1	theorem	theorem	NOUN
ejpam-6981	470	2	3	3	X
ejpam-6981	470	3	.	.	PUNCT
ejpam-6981	471	1	suppose	suppose	VERB
ejpam-6981	471	2	(	(	PUNCT
ejpam-6981	471	3	b	b	NOUN
ejpam-6981	471	4	,	,	PUNCT
ejpam-6981	471	5	∥	∥	X
ejpam-6981	471	6	·	·	PUNCT
ejpam-6981	471	7	∥	∥	NUM
ejpam-6981	471	8	)	)	PUNCT
ejpam-6981	471	9	as	as	ADP
ejpam-6981	471	10	a	a	DET
ejpam-6981	471	11	banach	banach	NOUN
ejpam-6981	471	12	space	space	NOUN
ejpam-6981	471	13	and	and	CCONJ
ejpam-6981	471	14	let	let	VERB
ejpam-6981	471	15	f	f	PRON
ejpam-6981	471	16	be	be	AUX
ejpam-6981	471	17	a	a	DET
ejpam-6981	471	18	self	self	NOUN
ejpam-6981	471	19	-	-	PUNCT
ejpam-6981	471	20	map	map	NOUN
ejpam-6981	471	21	on	on	ADP
ejpam-6981	471	22	b	b	DET
ejpam-6981	471	23	fulfilling	fulfil	VERB
ejpam-6981	471	24	∥fw	∥fw	PROPN
ejpam-6981	471	25	−fz∥	−fz∥	PROPN
ejpam-6981	471	26	≤m∥w	≤m∥w	NOUN
ejpam-6981	471	27	−	−	PROPN
ejpam-6981	471	28	z∥+m∥w	z∥+m∥w	PROPN
ejpam-6981	471	29	−	−	PROPN
ejpam-6981	471	30	z∥.	z∥.	PROPN
ejpam-6981	471	31	for	for	ADP
ejpam-6981	471	32	each	each	DET
ejpam-6981	471	33	w	w	NOUN
ejpam-6981	471	34	,	,	PUNCT
ejpam-6981	471	35	z	z	PROPN
ejpam-6981	471	36	∈	∈	PROPN
ejpam-6981	471	37	b	b	NOUN
ejpam-6981	471	38	with	with	ADP
ejpam-6981	471	39	0	0	NUM
ejpam-6981	471	40	≤	≤	NUM
ejpam-6981	471	41	m	m	PROPN
ejpam-6981	471	42	,	,	PUNCT
ejpam-6981	471	43	0	0	NUM
ejpam-6981	471	44	≤	≤	NUM
ejpam-6981	471	45	m	m	VERB
ejpam-6981	471	46	<	<	X
ejpam-6981	471	47	1	1	X
ejpam-6981	471	48	.	.	PUNCT
ejpam-6981	471	49	assume	assume	VERB
ejpam-6981	471	50	f	f	PROPN
ejpam-6981	471	51	is	be	AUX
ejpam-6981	471	52	picard	picard	PROPN
ejpam-6981	471	53	stable	stable	ADJ
ejpam-6981	471	54	.	.	PUNCT
ejpam-6981	472	1	suppose	suppose	VERB
ejpam-6981	472	2	the	the	DET
ejpam-6981	472	3	equations	equation	NOUN
ejpam-6981	472	4	(	(	PUNCT
ejpam-6981	472	5	5.5	5.5	NUM
ejpam-6981	472	6	)	)	PUNCT
ejpam-6981	472	7	,	,	PUNCT
ejpam-6981	472	8	which	which	PRON
ejpam-6981	472	9	are	be	AUX
ejpam-6981	472	10	connected	connect	VERB
ejpam-6981	472	11	to	to	ADP
ejpam-6981	472	12	(	(	PUNCT
ejpam-6981	472	13	2.1	2.1	NUM
ejpam-6981	472	14	)	)	PUNCT
ejpam-6981	472	15	.	.	PUNCT
ejpam-6981	473	1	un+1(t	un+1(t	ADJ
ejpam-6981	473	2	)	)	PUNCT
ejpam-6981	474	1	=	=	SYM
ejpam-6981	474	2	u(0	u(0	NOUN
ejpam-6981	474	3	)	)	PUNCT
ejpam-6981	475	1	+	+	CCONJ
ejpam-6981	476	1	l−1	l−1	NOUN
ejpam-6981	476	2	[	[	X
ejpam-6981	476	3	(	(	PUNCT
ejpam-6981	476	4	s+	s+	ADP
ejpam-6981	476	5	η(1−	η(1−	PROPN
ejpam-6981	476	6	s	s	PART
ejpam-6981	476	7	)	)	PUNCT
ejpam-6981	476	8	s	s	PART
ejpam-6981	476	9	)	)	PUNCT
ejpam-6981	476	10	l	l	NOUN
ejpam-6981	476	11	(	(	PUNCT
ejpam-6981	476	12	qπ	qπ	NOUN
ejpam-6981	476	13	+	+	CCONJ
ejpam-6981	476	14	(	(	PUNCT
ejpam-6981	476	15	1−	1−	NUM
ejpam-6981	476	16	b)ξin	b)ξin	PROPN
ejpam-6981	476	17	+	+	CCONJ
ejpam-6981	476	18	ϕvn	ϕvn	PROPN
ejpam-6981	476	19	−	−	PROPN
ejpam-6981	476	20	(	(	PUNCT
ejpam-6981	476	21	σ	σ	PROPN
ejpam-6981	476	22	+	+	NOUN
ejpam-6981	476	23	ψ	ψ	X
ejpam-6981	476	24	+	+	X
ejpam-6981	476	25	ϱ)un	ϱ)un	PROPN
ejpam-6981	476	26	)	)	PUNCT
ejpam-6981	476	27	]	]	PUNCT
ejpam-6981	476	28	a.	a.	NOUN
ejpam-6981	476	29	shaikh	shaikh	PROPN
ejpam-6981	476	30	,	,	PUNCT
ejpam-6981	476	31	s.	s.	PROPN
ejpam-6981	476	32	howal	howal	PROPN
ejpam-6981	476	33	,	,	PUNCT
ejpam-6981	476	34	k.	k.	PROPN
ejpam-6981	476	35	s.	s.	PROPN
ejpam-6981	476	36	nisar	nisar	PROPN
ejpam-6981	476	37	/	/	SYM
ejpam-6981	476	38	eur	eur	PROPN
ejpam-6981	476	39	.	.	PUNCT
ejpam-6981	477	1	j.	j.	PROPN
ejpam-6981	477	2	pure	pure	PROPN
ejpam-6981	477	3	appl	appl	PROPN
ejpam-6981	477	4	.	.	PROPN
ejpam-6981	477	5	math	math	PROPN
ejpam-6981	477	6	,	,	PUNCT
ejpam-6981	477	7	18	18	NUM
ejpam-6981	477	8	(	(	PUNCT
ejpam-6981	477	9	4	4	NUM
ejpam-6981	477	10	)	)	PUNCT
ejpam-6981	477	11	(	(	PUNCT
ejpam-6981	477	12	2025	2025	NUM
ejpam-6981	477	13	)	)	PUNCT
ejpam-6981	477	14	,	,	PUNCT
ejpam-6981	477	15	6981	6981	NUM
ejpam-6981	477	16	16	16	NUM
ejpam-6981	477	17	en+1(t	en+1(t	NUM
ejpam-6981	477	18	)	)	PUNCT
ejpam-6981	477	19	=	=	SYM
ejpam-6981	478	1	e(0	e(0	NOUN
ejpam-6981	478	2	)	)	PUNCT
ejpam-6981	479	1	+	+	CCONJ
ejpam-6981	480	1	l−1	l−1	NOUN
ejpam-6981	480	2	[	[	X
ejpam-6981	480	3	(	(	PUNCT
ejpam-6981	480	4	s+	s+	ADP
ejpam-6981	480	5	η(1−	η(1−	PROPN
ejpam-6981	480	6	s	s	PART
ejpam-6981	480	7	)	)	PUNCT
ejpam-6981	480	8	s	s	PART
ejpam-6981	480	9	)	)	PUNCT
ejpam-6981	480	10	l	l	NOUN
ejpam-6981	480	11	(	(	PUNCT
ejpam-6981	480	12	σun	σun	INTJ
ejpam-6981	480	13	−	−	PROPN
ejpam-6981	481	1	(	(	PUNCT
ejpam-6981	482	1	χ+	χ+	PROPN
ejpam-6981	482	2	ϱ)en	ϱ)en	PROPN
ejpam-6981	482	3	)	)	PUNCT
ejpam-6981	482	4	]	]	PUNCT
ejpam-6981	483	1	in+1(t	in+1(t	PROPN
ejpam-6981	483	2	)	)	PUNCT
ejpam-6981	484	1	=	=	SYM
ejpam-6981	484	2	i(0	i(0	PROPN
ejpam-6981	484	3	)	)	PUNCT
ejpam-6981	485	1	+	+	PUNCT
ejpam-6981	486	1	l−1	l−1	NOUN
ejpam-6981	486	2	[	[	X
ejpam-6981	486	3	(	(	PUNCT
ejpam-6981	486	4	s+	s+	ADP
ejpam-6981	486	5	η(1−	η(1−	PROPN
ejpam-6981	486	6	s	s	PART
ejpam-6981	486	7	)	)	PUNCT
ejpam-6981	486	8	s	s	PART
ejpam-6981	486	9	)	)	PUNCT
ejpam-6981	486	10	l	l	NOUN
ejpam-6981	486	11	(	(	PUNCT
ejpam-6981	486	12	χen	χen	PROPN
ejpam-6981	486	13	−	−	PROPN
ejpam-6981	486	14	(	(	PUNCT
ejpam-6981	486	15	ξ	ξ	X
ejpam-6981	486	16	+	+	PUNCT
ejpam-6981	486	17	ϱ+	ϱ+	PUNCT
ejpam-6981	486	18	∂)in	∂)in	PROPN
ejpam-6981	486	19	)	)	PUNCT
ejpam-6981	486	20	]	]	PUNCT
ejpam-6981	486	21	vn+1(t	vn+1(t	PROPN
ejpam-6981	486	22	)	)	PUNCT
ejpam-6981	486	23	=	=	SYM
ejpam-6981	486	24	v	v	X
ejpam-6981	486	25	(	(	PUNCT
ejpam-6981	486	26	0	0	NUM
ejpam-6981	486	27	)	)	PUNCT
ejpam-6981	486	28	+	+	CCONJ
ejpam-6981	486	29	l−1	l−1	NOUN
ejpam-6981	486	30	[	[	X
ejpam-6981	486	31	(	(	PUNCT
ejpam-6981	486	32	s+	s+	ADP
ejpam-6981	486	33	η(1−	η(1−	PROPN
ejpam-6981	486	34	s	s	PART
ejpam-6981	486	35	)	)	PUNCT
ejpam-6981	486	36	s	s	PART
ejpam-6981	486	37	)	)	PUNCT
ejpam-6981	486	38	l	l	NOUN
ejpam-6981	486	39	(	(	PUNCT
ejpam-6981	486	40	(	(	PUNCT
ejpam-6981	486	41	1−	1−	NUM
ejpam-6981	486	42	q)π	q)π	NOUN
ejpam-6981	487	1	+	+	NUM
ejpam-6981	487	2	µqn	µqn	NOUN
ejpam-6981	487	3	+	+	CCONJ
ejpam-6981	487	4	ψun	ψun	NOUN
ejpam-6981	487	5	+	+	CCONJ
ejpam-6981	487	6	bξin	bξin	PROPN
ejpam-6981	487	7	−	−	PROPN
ejpam-6981	487	8	(	(	PUNCT
ejpam-6981	487	9	θ	θ	NOUN
ejpam-6981	487	10	+	+	PUNCT
ejpam-6981	487	11	ϕ+	ϕ+	PROPN
ejpam-6981	487	12	ϱ)vn	ϱ)vn	ADJ
ejpam-6981	487	13	)	)	PUNCT
ejpam-6981	487	14	]	]	PUNCT
ejpam-6981	487	15	fn+1(t	fn+1(t	PROPN
ejpam-6981	487	16	)	)	PUNCT
ejpam-6981	488	1	=	=	SYM
ejpam-6981	488	2	f	f	PROPN
ejpam-6981	488	3	(	(	PUNCT
ejpam-6981	488	4	0	0	NUM
ejpam-6981	488	5	)	)	PUNCT
ejpam-6981	488	6	+	+	CCONJ
ejpam-6981	489	1	l−1	l−1	NOUN
ejpam-6981	489	2	[	[	X
ejpam-6981	489	3	(	(	PUNCT
ejpam-6981	489	4	s+	s+	ADP
ejpam-6981	489	5	η(1−	η(1−	PROPN
ejpam-6981	489	6	s	s	PART
ejpam-6981	489	7	)	)	PUNCT
ejpam-6981	489	8	s	s	PART
ejpam-6981	489	9	)	)	PUNCT
ejpam-6981	489	10	l	l	NOUN
ejpam-6981	489	11	(	(	PUNCT
ejpam-6981	489	12	θvn	θvn	NOUN
ejpam-6981	489	13	−	−	PROPN
ejpam-6981	489	14	(	(	PUNCT
ejpam-6981	489	15	ε+	ε+	X
ejpam-6981	489	16	ϱ)fn	ϱ)fn	PROPN
ejpam-6981	489	17	)	)	PUNCT
ejpam-6981	489	18	]	]	PUNCT
ejpam-6981	489	19	qn+1(t	qn+1(t	PROPN
ejpam-6981	489	20	)	)	PUNCT
ejpam-6981	489	21	=	=	SYM
ejpam-6981	489	22	q(0	q(0	PROPN
ejpam-6981	489	23	)	)	PUNCT
ejpam-6981	490	1	+	+	CCONJ
ejpam-6981	491	1	l−1	l−1	NOUN
ejpam-6981	491	2	[	[	X
ejpam-6981	491	3	(	(	PUNCT
ejpam-6981	491	4	s+	s+	ADP
ejpam-6981	491	5	η(1−	η(1−	PROPN
ejpam-6981	491	6	s	s	PART
ejpam-6981	491	7	)	)	PUNCT
ejpam-6981	491	8	s	s	PART
ejpam-6981	491	9	)	)	PUNCT
ejpam-6981	491	10	l	l	NOUN
ejpam-6981	491	11	(	(	PUNCT
ejpam-6981	491	12	ϵfn	ϵfn	NOUN
ejpam-6981	491	13	−	−	X
ejpam-6981	491	14	(	(	PUNCT
ejpam-6981	491	15	µ+	µ+	X
ejpam-6981	491	16	ϱ+	ϱ+	NUM
ejpam-6981	491	17	κ)qn	κ)qn	PROPN
ejpam-6981	491	18	)	)	PUNCT
ejpam-6981	491	19	]	]	PUNCT
ejpam-6981	491	20	where	where	SCONJ
ejpam-6981	491	21	s+	s+	ADV
ejpam-6981	491	22	η(1−	η(1−	PROPN
ejpam-6981	491	23	s	s	PART
ejpam-6981	491	24	)	)	PUNCT
ejpam-6981	491	25	s	s	VERB
ejpam-6981	491	26	is	be	AUX
ejpam-6981	491	27	a	a	DET
ejpam-6981	491	28	fractional	fractional	ADJ
ejpam-6981	491	29	lagrange	lagrange	NOUN
ejpam-6981	491	30	multiplier	multiplier	ADV
ejpam-6981	491	31	theorem	theorem	NOUN
ejpam-6981	491	32	4	4	NUM
ejpam-6981	491	33	.	.	PUNCT
ejpam-6981	492	1	let	let	VERB
ejpam-6981	492	2	f	f	PRON
ejpam-6981	492	3	be	be	AUX
ejpam-6981	492	4	a	a	DET
ejpam-6981	492	5	mapping	mapping	NOUN
ejpam-6981	492	6	on	on	ADP
ejpam-6981	492	7	itself	itself	PRON
ejpam-6981	492	8	defined	define	VERB
ejpam-6981	492	9	as	as	ADP
ejpam-6981	492	10	f(un(t	f(un(t	NOUN
ejpam-6981	492	11	)	)	PUNCT
ejpam-6981	492	12	)	)	PUNCT
ejpam-6981	493	1	=	=	SYM
ejpam-6981	493	2	un+1(t	un+1(t	ADJ
ejpam-6981	493	3	)	)	PUNCT
ejpam-6981	493	4	=	=	SYM
ejpam-6981	493	5	u(0	u(0	NOUN
ejpam-6981	493	6	)	)	PUNCT
ejpam-6981	494	1	+	+	CCONJ
ejpam-6981	495	1	l−1	l−1	NOUN
ejpam-6981	495	2	[	[	X
ejpam-6981	495	3	(	(	PUNCT
ejpam-6981	495	4	s+	s+	ADP
ejpam-6981	495	5	η(1−	η(1−	PROPN
ejpam-6981	495	6	s	s	PART
ejpam-6981	495	7	)	)	PUNCT
ejpam-6981	495	8	s	s	PART
ejpam-6981	495	9	)	)	PUNCT
ejpam-6981	495	10	l	l	NOUN
ejpam-6981	495	11	(	(	PUNCT
ejpam-6981	495	12	qπ	qπ	NOUN
ejpam-6981	495	13	+	+	CCONJ
ejpam-6981	495	14	(	(	PUNCT
ejpam-6981	495	15	1−	1−	NUM
ejpam-6981	495	16	b)ξin	b)ξin	PROPN
ejpam-6981	495	17	+	+	CCONJ
ejpam-6981	495	18	ϕvn	ϕvn	PROPN
ejpam-6981	495	19	−	−	PROPN
ejpam-6981	495	20	(	(	PUNCT
ejpam-6981	495	21	σ	σ	PROPN
ejpam-6981	495	22	+	+	NOUN
ejpam-6981	495	23	ψ	ψ	X
ejpam-6981	495	24	+	+	X
ejpam-6981	495	25	ϱ)un	ϱ)un	PROPN
ejpam-6981	495	26	)	)	PUNCT
ejpam-6981	495	27	]	]	X
ejpam-6981	495	28	f(en(t	f(en(t	X
ejpam-6981	495	29	)	)	PUNCT
ejpam-6981	495	30	)	)	PUNCT
ejpam-6981	496	1	=	=	SYM
ejpam-6981	496	2	en+1(t	en+1(t	ADJ
ejpam-6981	496	3	)	)	PUNCT
ejpam-6981	496	4	=	=	SYM
ejpam-6981	497	1	e(0	e(0	NOUN
ejpam-6981	497	2	)	)	PUNCT
ejpam-6981	498	1	+	+	CCONJ
ejpam-6981	499	1	l−1	l−1	NOUN
ejpam-6981	499	2	[	[	X
ejpam-6981	499	3	(	(	PUNCT
ejpam-6981	499	4	s+	s+	ADP
ejpam-6981	499	5	η(1−	η(1−	PROPN
ejpam-6981	499	6	s	s	PART
ejpam-6981	499	7	)	)	PUNCT
ejpam-6981	499	8	s	s	PART
ejpam-6981	499	9	)	)	PUNCT
ejpam-6981	499	10	l	l	NOUN
ejpam-6981	499	11	(	(	PUNCT
ejpam-6981	499	12	σun	σun	INTJ
ejpam-6981	499	13	−	−	PROPN
ejpam-6981	500	1	(	(	PUNCT
ejpam-6981	501	1	χ+	χ+	PROPN
ejpam-6981	501	2	ϱ)en	ϱ)en	PROPN
ejpam-6981	501	3	)	)	PUNCT
ejpam-6981	501	4	]	]	PUNCT
ejpam-6981	502	1	f(in(t	f(in(t	NUM
ejpam-6981	502	2	)	)	PUNCT
ejpam-6981	502	3	)	)	PUNCT
ejpam-6981	503	1	=	=	SYM
ejpam-6981	503	2	in+1(t	in+1(t	ADJ
ejpam-6981	503	3	)	)	PUNCT
ejpam-6981	504	1	=	=	SYM
ejpam-6981	504	2	i(0	i(0	PROPN
ejpam-6981	504	3	)	)	PUNCT
ejpam-6981	505	1	+	+	PUNCT
ejpam-6981	506	1	l−1	l−1	NOUN
ejpam-6981	506	2	[	[	X
ejpam-6981	506	3	(	(	PUNCT
ejpam-6981	506	4	s+	s+	ADP
ejpam-6981	506	5	η(1−	η(1−	PROPN
ejpam-6981	506	6	s	s	PART
ejpam-6981	506	7	)	)	PUNCT
ejpam-6981	506	8	s	s	PART
ejpam-6981	506	9	)	)	PUNCT
ejpam-6981	506	10	l	l	NOUN
ejpam-6981	506	11	(	(	PUNCT
ejpam-6981	506	12	χen	χen	PROPN
ejpam-6981	506	13	−	−	PROPN
ejpam-6981	506	14	(	(	PUNCT
ejpam-6981	506	15	ξ	ξ	X
ejpam-6981	506	16	+	+	PUNCT
ejpam-6981	506	17	ϱ+	ϱ+	PUNCT
ejpam-6981	506	18	∂)in	∂)in	ADJ
ejpam-6981	506	19	)	)	PUNCT
ejpam-6981	506	20	]	]	PUNCT
ejpam-6981	507	1	f(vn(t	f(vn(t	X
ejpam-6981	507	2	)	)	PUNCT
ejpam-6981	507	3	)	)	PUNCT
ejpam-6981	507	4	=	=	SYM
ejpam-6981	507	5	vn+1(t	vn+1(t	PROPN
ejpam-6981	507	6	)	)	PUNCT
ejpam-6981	507	7	=	=	SYM
ejpam-6981	507	8	v	v	X
ejpam-6981	507	9	(	(	PUNCT
ejpam-6981	507	10	0	0	NUM
ejpam-6981	507	11	)	)	PUNCT
ejpam-6981	507	12	+	+	CCONJ
ejpam-6981	508	1	l−1	l−1	NOUN
ejpam-6981	508	2	[	[	X
ejpam-6981	508	3	(	(	PUNCT
ejpam-6981	508	4	s+	s+	ADP
ejpam-6981	508	5	η(1−	η(1−	PROPN
ejpam-6981	508	6	s	s	PART
ejpam-6981	508	7	)	)	PUNCT
ejpam-6981	508	8	s	s	PART
ejpam-6981	508	9	)	)	PUNCT
ejpam-6981	508	10	l	l	NOUN
ejpam-6981	508	11	(	(	PUNCT
ejpam-6981	508	12	(	(	PUNCT
ejpam-6981	508	13	1−	1−	NUM
ejpam-6981	508	14	q)π	q)π	NOUN
ejpam-6981	509	1	+	+	NUM
ejpam-6981	509	2	µqn	µqn	NOUN
ejpam-6981	509	3	+	+	CCONJ
ejpam-6981	509	4	ψun	ψun	NOUN
ejpam-6981	509	5	+	+	CCONJ
ejpam-6981	509	6	bξin	bξin	PROPN
ejpam-6981	509	7	−	−	PROPN
ejpam-6981	509	8	(	(	PUNCT
ejpam-6981	509	9	θ	θ	NOUN
ejpam-6981	509	10	+	+	PUNCT
ejpam-6981	509	11	ϕ+	ϕ+	PROPN
ejpam-6981	509	12	ϱ)vn	ϱ)vn	ADJ
ejpam-6981	509	13	)	)	PUNCT
ejpam-6981	509	14	]	]	PUNCT
ejpam-6981	510	1	f(fn(t	f(fn(t	NUM
ejpam-6981	510	2	)	)	PUNCT
ejpam-6981	510	3	)	)	PUNCT
ejpam-6981	511	1	=	=	SYM
ejpam-6981	511	2	fn+1(t	fn+1(t	PROPN
ejpam-6981	511	3	)	)	PUNCT
ejpam-6981	512	1	=	=	SYM
ejpam-6981	512	2	f	f	PROPN
ejpam-6981	512	3	(	(	PUNCT
ejpam-6981	512	4	0	0	NUM
ejpam-6981	512	5	)	)	PUNCT
ejpam-6981	512	6	+	+	CCONJ
ejpam-6981	513	1	l−1	l−1	NOUN
ejpam-6981	513	2	[	[	X
ejpam-6981	513	3	(	(	PUNCT
ejpam-6981	513	4	s+	s+	ADP
ejpam-6981	513	5	η(1−	η(1−	PROPN
ejpam-6981	513	6	s	s	PART
ejpam-6981	513	7	)	)	PUNCT
ejpam-6981	513	8	s	s	PART
ejpam-6981	513	9	)	)	PUNCT
ejpam-6981	513	10	l	l	NOUN
ejpam-6981	513	11	(	(	PUNCT
ejpam-6981	513	12	θvn	θvn	NOUN
ejpam-6981	513	13	−	−	PROPN
ejpam-6981	513	14	(	(	PUNCT
ejpam-6981	513	15	ε+	ε+	X
ejpam-6981	513	16	ϱ)fn	ϱ)fn	PROPN
ejpam-6981	513	17	)	)	PUNCT
ejpam-6981	513	18	]	]	PUNCT
ejpam-6981	514	1	f(qn(t	f(qn(t	PROPN
ejpam-6981	514	2	)	)	PUNCT
ejpam-6981	514	3	)	)	PUNCT
ejpam-6981	515	1	=	=	SYM
ejpam-6981	515	2	qn+1(t	qn+1(t	PROPN
ejpam-6981	515	3	)	)	PUNCT
ejpam-6981	515	4	=	=	SYM
ejpam-6981	515	5	q(0	q(0	PROPN
ejpam-6981	515	6	)	)	PUNCT
ejpam-6981	516	1	+	+	CCONJ
ejpam-6981	517	1	l−1	l−1	NOUN
ejpam-6981	517	2	[	[	X
ejpam-6981	517	3	(	(	PUNCT
ejpam-6981	517	4	s+	s+	ADP
ejpam-6981	517	5	η(1−	η(1−	PROPN
ejpam-6981	517	6	s	s	PART
ejpam-6981	517	7	)	)	PUNCT
ejpam-6981	517	8	s	s	PART
ejpam-6981	517	9	)	)	PUNCT
ejpam-6981	517	10	l	l	NOUN
ejpam-6981	517	11	(	(	PUNCT
ejpam-6981	517	12	ϵfn	ϵfn	NOUN
ejpam-6981	517	13	−	−	X
ejpam-6981	517	14	(	(	PUNCT
ejpam-6981	517	15	µ+	µ+	X
ejpam-6981	517	16	ϱ+	ϱ+	NUM
ejpam-6981	517	17	κ)qn	κ)qn	PROPN
ejpam-6981	517	18	)	)	PUNCT
ejpam-6981	517	19	]	]	PUNCT
ejpam-6981	517	20	is	be	AUX
ejpam-6981	517	21	f	f	NOUN
ejpam-6981	517	22	-	-	PUNCT
ejpam-6981	517	23	stable	stable	ADJ
ejpam-6981	517	24	in	in	ADP
ejpam-6981	517	25	l1(a	l1(a	PROPN
ejpam-6981	517	26	,	,	PUNCT
ejpam-6981	517	27	b	b	NOUN
ejpam-6981	517	28	)	)	PUNCT
ejpam-6981	517	29	if	if	PROPN
ejpam-6981	518	1	(	(	PUNCT
ejpam-6981	518	2	(	(	PUNCT
ejpam-6981	518	3	1−	1−	NUM
ejpam-6981	518	4	b)ξh1(s	b)ξh1(s	PROPN
ejpam-6981	518	5	)	)	PUNCT
ejpam-6981	518	6	+	+	NUM
ejpam-6981	518	7	ϕh2(s	ϕh2(s	PROPN
ejpam-6981	518	8	)	)	PUNCT
ejpam-6981	519	1	+	+	CCONJ
ejpam-6981	519	2	(	(	PUNCT
ejpam-6981	519	3	σ	σ	X
ejpam-6981	519	4	+	+	NOUN
ejpam-6981	519	5	ψ	ψ	X
ejpam-6981	519	6	+	+	CCONJ
ejpam-6981	519	7	ϱ)h3(s	ϱ)h3(s	PROPN
ejpam-6981	519	8	)	)	PUNCT
ejpam-6981	519	9	)	)	PUNCT
ejpam-6981	520	1	<	<	X
ejpam-6981	520	2	1	1	X
ejpam-6981	520	3	(	(	PUNCT
ejpam-6981	520	4	σf1(s)−	σf1(s)−	PROPN
ejpam-6981	520	5	(	(	PUNCT
ejpam-6981	520	6	χ+	χ+	PROPN
ejpam-6981	520	7	ϱ)f2(s	ϱ)f2(s	PROPN
ejpam-6981	520	8	)	)	PUNCT
ejpam-6981	520	9	)	)	PUNCT
ejpam-6981	521	1	<	<	X
ejpam-6981	521	2	1	1	NUM
ejpam-6981	521	3	(	(	PUNCT
ejpam-6981	521	4	χg1(s)−	χg1(s)−	X
ejpam-6981	521	5	(	(	PUNCT
ejpam-6981	521	6	ξ	ξ	X
ejpam-6981	521	7	+	+	PUNCT
ejpam-6981	521	8	ϱ+	ϱ+	NOUN
ejpam-6981	521	9	∂)g2(s	∂)g2(s	NUM
ejpam-6981	521	10	)	)	PUNCT
ejpam-6981	521	11	)	)	PUNCT
ejpam-6981	522	1	<	<	X
ejpam-6981	522	2	1	1	NUM
ejpam-6981	522	3	(	(	PUNCT
ejpam-6981	522	4	qπ	qπ	NOUN
ejpam-6981	522	5	+	+	CCONJ
ejpam-6981	522	6	(	(	PUNCT
ejpam-6981	522	7	1−	1−	NUM
ejpam-6981	522	8	b)ξz1(s	b)ξz1(s	PROPN
ejpam-6981	522	9	)	)	PUNCT
ejpam-6981	522	10	+	+	NUM
ejpam-6981	522	11	ϕz1(s)−	ϕz1(s)−	PROPN
ejpam-6981	522	12	(	(	PUNCT
ejpam-6981	523	1	σ	σ	X
ejpam-6981	523	2	+	+	NOUN
ejpam-6981	523	3	ψ	ψ	X
ejpam-6981	523	4	+	+	CCONJ
ejpam-6981	523	5	ϱ)z1(s	ϱ)z1(	NOUN
ejpam-6981	523	6	)	)	PUNCT
ejpam-6981	523	7	)	)	PUNCT
ejpam-6981	523	8	<	<	X
ejpam-6981	523	9	1	1	NUM
ejpam-6981	523	10	(	(	PUNCT
ejpam-6981	523	11	θx1(s)−	θx1(s)−	PROPN
ejpam-6981	523	12	(	(	PUNCT
ejpam-6981	523	13	ε+	ε+	NOUN
ejpam-6981	523	14	ϱ)x2(s	ϱ)x2(s	NOUN
ejpam-6981	523	15	)	)	PUNCT
ejpam-6981	523	16	)	)	PUNCT
ejpam-6981	524	1	<	<	X
ejpam-6981	524	2	1	1	NUM
ejpam-6981	524	3	(	(	PUNCT
ejpam-6981	524	4	ϵy1(s)−	ϵy1(s)−	PROPN
ejpam-6981	524	5	(	(	PUNCT
ejpam-6981	524	6	µ+	µ+	X
ejpam-6981	524	7	ϱ+	ϱ+	PUNCT
ejpam-6981	524	8	κ)y2(s	κ)y2(s	NOUN
ejpam-6981	524	9	)	)	PUNCT
ejpam-6981	524	10	)	)	PUNCT
ejpam-6981	525	1	<	<	X
ejpam-6981	525	2	1	1	NUM
ejpam-6981	525	3	proof	proof	NOUN
ejpam-6981	525	4	.	.	PUNCT
ejpam-6981	526	1	here	here	ADV
ejpam-6981	526	2	,	,	PUNCT
ejpam-6981	526	3	we	we	PRON
ejpam-6981	526	4	shall	shall	AUX
ejpam-6981	526	5	demonstrate	demonstrate	VERB
ejpam-6981	526	6	that	that	SCONJ
ejpam-6981	526	7	f	f	PROPN
ejpam-6981	526	8	has	have	VERB
ejpam-6981	526	9	a	a	DET
ejpam-6981	526	10	fixed	fix	VERB
ejpam-6981	526	11	point	point	NOUN
ejpam-6981	526	12	.	.	PUNCT
ejpam-6981	527	1	so	so	ADV
ejpam-6981	527	2	for	for	ADP
ejpam-6981	527	3	any	any	DET
ejpam-6981	527	4	(	(	PUNCT
ejpam-6981	527	5	m	m	NOUN
ejpam-6981	527	6	,	,	PUNCT
ejpam-6981	527	7	n	n	CCONJ
ejpam-6981	527	8	)	)	PUNCT
ejpam-6981	527	9	in	in	ADP
ejpam-6981	527	10	r	r	NOUN
ejpam-6981	527	11	a.	a.	NOUN
ejpam-6981	527	12	shaikh	shaikh	PROPN
ejpam-6981	527	13	,	,	PUNCT
ejpam-6981	527	14	s.	s.	PROPN
ejpam-6981	527	15	howal	howal	PROPN
ejpam-6981	527	16	,	,	PUNCT
ejpam-6981	527	17	k.	k.	PROPN
ejpam-6981	527	18	s.	s.	PROPN
ejpam-6981	527	19	nisar	nisar	PROPN
ejpam-6981	527	20	/	/	SYM
ejpam-6981	527	21	eur	eur	PROPN
ejpam-6981	527	22	.	.	PUNCT
ejpam-6981	528	1	j.	j.	PROPN
ejpam-6981	528	2	pure	pure	PROPN
ejpam-6981	528	3	appl	appl	PROPN
ejpam-6981	528	4	.	.	PROPN
ejpam-6981	528	5	math	math	PROPN
ejpam-6981	528	6	,	,	PUNCT
ejpam-6981	528	7	18	18	NUM
ejpam-6981	528	8	(	(	PUNCT
ejpam-6981	528	9	4	4	NUM
ejpam-6981	528	10	)	)	PUNCT
ejpam-6981	528	11	(	(	PUNCT
ejpam-6981	528	12	2025	2025	NUM
ejpam-6981	528	13	)	)	PUNCT
ejpam-6981	528	14	,	,	PUNCT
ejpam-6981	528	15	6981	6981	NUM
ejpam-6981	528	16	17	17	NUM
ejpam-6981	528	17	where	where	SCONJ
ejpam-6981	528	18	r	r	NOUN
ejpam-6981	528	19	=	=	SYM
ejpam-6981	528	20	n×	n×	PROPN
ejpam-6981	528	21	n	n	CCONJ
ejpam-6981	528	22	,	,	PUNCT
ejpam-6981	528	23	we	we	PRON
ejpam-6981	528	24	evaluate	evaluate	VERB
ejpam-6981	528	25	the	the	DET
ejpam-6981	528	26	followings	following	NOUN
ejpam-6981	528	27	.	.	PUNCT
ejpam-6981	529	1	f(un(t))−f(um(t	f(un(t))−f(um(t	PROPN
ejpam-6981	529	2	)	)	PUNCT
ejpam-6981	529	3	)	)	PUNCT
ejpam-6981	530	1	=	=	PUNCT
ejpam-6981	531	1	l−1	l−1	NOUN
ejpam-6981	532	1	[	[	X
ejpam-6981	532	2	(	(	PUNCT
ejpam-6981	532	3	s+	s+	ADP
ejpam-6981	532	4	η(1−	η(1−	PROPN
ejpam-6981	532	5	s	s	PART
ejpam-6981	532	6	)	)	PUNCT
ejpam-6981	532	7	s	s	PART
ejpam-6981	532	8	)	)	PUNCT
ejpam-6981	532	9	l	l	NOUN
ejpam-6981	532	10	(	(	PUNCT
ejpam-6981	532	11	qπ	qπ	NOUN
ejpam-6981	532	12	+	+	CCONJ
ejpam-6981	532	13	(	(	PUNCT
ejpam-6981	532	14	1−	1−	NUM
ejpam-6981	532	15	b)ξin	b)ξin	PROPN
ejpam-6981	532	16	+	+	CCONJ
ejpam-6981	532	17	ϕvn	ϕvn	PROPN
ejpam-6981	532	18	−	−	PROPN
ejpam-6981	532	19	(	(	PUNCT
ejpam-6981	532	20	σ	σ	PROPN
ejpam-6981	532	21	+	+	NOUN
ejpam-6981	532	22	ψ	ψ	X
ejpam-6981	532	23	+	+	X
ejpam-6981	532	24	ϱ)un	ϱ)un	PROPN
ejpam-6981	532	25	)	)	PUNCT
ejpam-6981	532	26	]	]	PUNCT
ejpam-6981	533	1	−	−	PROPN
ejpam-6981	533	2	l−1	l−1	PROPN
ejpam-6981	533	3	[	[	X
ejpam-6981	533	4	(	(	PUNCT
ejpam-6981	533	5	s+	s+	ADP
ejpam-6981	533	6	η(1−	η(1−	PROPN
ejpam-6981	533	7	s	s	PART
ejpam-6981	533	8	)	)	PUNCT
ejpam-6981	533	9	s	s	PART
ejpam-6981	533	10	)	)	PUNCT
ejpam-6981	533	11	l	l	NOUN
ejpam-6981	533	12	(	(	PUNCT
ejpam-6981	533	13	qπ	qπ	NOUN
ejpam-6981	533	14	+	+	CCONJ
ejpam-6981	533	15	(	(	PUNCT
ejpam-6981	533	16	1−	1−	NUM
ejpam-6981	533	17	b)ξim	b)ξim	NOUN
ejpam-6981	533	18	+	+	CCONJ
ejpam-6981	533	19	ϕvm	ϕvm	NOUN
ejpam-6981	533	20	−	−	PROPN
ejpam-6981	533	21	(	(	PUNCT
ejpam-6981	533	22	σ	σ	X
ejpam-6981	533	23	+	+	NOUN
ejpam-6981	533	24	ψ	ψ	X
ejpam-6981	533	25	+	+	CCONJ
ejpam-6981	533	26	ϱ)um	ϱ)um	PROPN
ejpam-6981	533	27	)	)	PUNCT
ejpam-6981	533	28	]	]	PUNCT
ejpam-6981	534	1	taking	take	VERB
ejpam-6981	534	2	norm	norm	NOUN
ejpam-6981	534	3	∥f(un(t))−f(um(t))∥	∥f(un(t))−f(um(t))∥	X
ejpam-6981	534	4	=	=	PUNCT
ejpam-6981	534	5	∥∥∥∥l−1	∥∥∥∥l−1	NOUN
ejpam-6981	535	1	[	[	X
ejpam-6981	535	2	(	(	PUNCT
ejpam-6981	535	3	s+	s+	ADV
ejpam-6981	535	4	η(1−	η(1−	PROPN
ejpam-6981	535	5	s	s	PART
ejpam-6981	535	6	)	)	PUNCT
ejpam-6981	535	7	s	s	PART
ejpam-6981	535	8	)	)	PUNCT
ejpam-6981	535	9	l	l	NOUN
ejpam-6981	535	10	(	(	PUNCT
ejpam-6981	535	11	qπ	qπ	NOUN
ejpam-6981	535	12	+	+	CCONJ
ejpam-6981	535	13	(	(	PUNCT
ejpam-6981	535	14	1−	1−	NUM
ejpam-6981	535	15	b)ξin	b)ξin	PROPN
ejpam-6981	535	16	+	+	CCONJ
ejpam-6981	535	17	ϕvn	ϕvn	PROPN
ejpam-6981	536	1	−	−	PROPN
ejpam-6981	536	2	(	(	PUNCT
ejpam-6981	536	3	σ	σ	PROPN
ejpam-6981	536	4	+	+	NOUN
ejpam-6981	536	5	ψ	ψ	X
ejpam-6981	536	6	+	+	X
ejpam-6981	536	7	ϱ)un	ϱ)un	PROPN
ejpam-6981	536	8	)	)	PUNCT
ejpam-6981	536	9	]	]	PUNCT
ejpam-6981	537	1	−	−	PROPN
ejpam-6981	537	2	l−1	l−1	PROPN
ejpam-6981	537	3	[	[	X
ejpam-6981	537	4	(	(	PUNCT
ejpam-6981	537	5	s+	s+	ADP
ejpam-6981	537	6	η(1−	η(1−	PROPN
ejpam-6981	537	7	s	s	PART
ejpam-6981	537	8	)	)	PUNCT
ejpam-6981	537	9	s	s	PART
ejpam-6981	537	10	)	)	PUNCT
ejpam-6981	537	11	l	l	NOUN
ejpam-6981	537	12	(	(	PUNCT
ejpam-6981	537	13	qπ	qπ	NOUN
ejpam-6981	537	14	+	+	CCONJ
ejpam-6981	537	15	(	(	PUNCT
ejpam-6981	537	16	1−	1−	NUM
ejpam-6981	537	17	b)ξim	b)ξim	NOUN
ejpam-6981	537	18	+	+	CCONJ
ejpam-6981	537	19	ϕvm	ϕvm	NOUN
ejpam-6981	537	20	−	−	PROPN
ejpam-6981	537	21	(	(	PUNCT
ejpam-6981	537	22	σ	σ	X
ejpam-6981	537	23	+	+	NOUN
ejpam-6981	537	24	ψ	ψ	X
ejpam-6981	537	25	+	+	CCONJ
ejpam-6981	537	26	ϱ)um	ϱ)um	PROPN
ejpam-6981	537	27	)	)	PUNCT
ejpam-6981	537	28	]	]	PUNCT
ejpam-6981	537	29	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-6981	537	30	∥f(un(t))−f(um(t))∥	∥f(un(t))−f(um(t))∥	PUNCT
ejpam-6981	537	31	=	=	PUNCT
ejpam-6981	537	32	∥∥∥∥l−1	∥∥∥∥l−1	NOUN
ejpam-6981	538	1	[	[	X
ejpam-6981	538	2	(	(	PUNCT
ejpam-6981	538	3	s+	s+	ADV
ejpam-6981	538	4	η(1−	η(1−	PROPN
ejpam-6981	538	5	s	s	PART
ejpam-6981	538	6	)	)	PUNCT
ejpam-6981	538	7	s	s	PART
ejpam-6981	538	8	)	)	PUNCT
ejpam-6981	538	9	l	l	NOUN
ejpam-6981	538	10	(	(	PUNCT
ejpam-6981	538	11	qπ	qπ	NOUN
ejpam-6981	538	12	+	+	CCONJ
ejpam-6981	538	13	(	(	PUNCT
ejpam-6981	538	14	1−	1−	NUM
ejpam-6981	538	15	b)ξin	b)ξin	PROPN
ejpam-6981	538	16	+	+	CCONJ
ejpam-6981	538	17	ϕvn	ϕvn	PROPN
ejpam-6981	539	1	−	−	PROPN
ejpam-6981	539	2	(	(	PUNCT
ejpam-6981	539	3	σ	σ	PROPN
ejpam-6981	539	4	+	+	NOUN
ejpam-6981	539	5	ψ	ψ	X
ejpam-6981	539	6	+	+	X
ejpam-6981	539	7	ϱ)un	ϱ)un	PROPN
ejpam-6981	539	8	)	)	PUNCT
ejpam-6981	539	9	]	]	PUNCT
ejpam-6981	540	1	−	−	PROPN
ejpam-6981	540	2	l−1	l−1	PROPN
ejpam-6981	540	3	[	[	X
ejpam-6981	540	4	(	(	PUNCT
ejpam-6981	540	5	s+	s+	ADP
ejpam-6981	540	6	η(1−	η(1−	PROPN
ejpam-6981	540	7	s	s	PART
ejpam-6981	540	8	)	)	PUNCT
ejpam-6981	540	9	s	s	PART
ejpam-6981	540	10	)	)	PUNCT
ejpam-6981	540	11	l	l	NOUN
ejpam-6981	540	12	(	(	PUNCT
ejpam-6981	540	13	qπ	qπ	NOUN
ejpam-6981	540	14	+	+	CCONJ
ejpam-6981	540	15	(	(	PUNCT
ejpam-6981	540	16	1−	1−	NUM
ejpam-6981	540	17	b)ξim	b)ξim	NOUN
ejpam-6981	540	18	+	+	CCONJ
ejpam-6981	540	19	ϕvm	ϕvm	NOUN
ejpam-6981	540	20	−	−	PROPN
ejpam-6981	540	21	(	(	PUNCT
ejpam-6981	540	22	σ	σ	X
ejpam-6981	540	23	+	+	NOUN
ejpam-6981	540	24	ψ	ψ	X
ejpam-6981	540	25	+	+	CCONJ
ejpam-6981	540	26	ϱ)um	ϱ)um	PROPN
ejpam-6981	540	27	)	)	PUNCT
ejpam-6981	540	28	]	]	PUNCT
ejpam-6981	540	29	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-6981	540	30	∥f(un(t))−f(um(t))∥	∥f(un(t))−f(um(t))∥	PUNCT
ejpam-6981	540	31	=	=	PUNCT
ejpam-6981	540	32	∥∥∥∥l−1	∥∥∥∥l−1	NOUN
ejpam-6981	541	1	[	[	X
ejpam-6981	541	2	(	(	PUNCT
ejpam-6981	541	3	s+	s+	ADV
ejpam-6981	541	4	η(1−	η(1−	PROPN
ejpam-6981	541	5	s	s	PART
ejpam-6981	541	6	)	)	PUNCT
ejpam-6981	541	7	s	s	PART
ejpam-6981	541	8	)	)	PUNCT
ejpam-6981	541	9	(	(	PUNCT
ejpam-6981	541	10	l	l	NOUN
ejpam-6981	541	11	(	(	PUNCT
ejpam-6981	541	12	(	(	PUNCT
ejpam-6981	541	13	1−	1−	NUM
ejpam-6981	541	14	b)ξin	b)ξin	PROPN
ejpam-6981	541	15	+	+	CCONJ
ejpam-6981	541	16	ϕvn	ϕvn	PROPN
ejpam-6981	541	17	−	−	PROPN
ejpam-6981	541	18	(	(	PUNCT
ejpam-6981	541	19	σ	σ	PROPN
ejpam-6981	541	20	+	+	NOUN
ejpam-6981	541	21	ψ	ψ	X
ejpam-6981	541	22	+	+	X
ejpam-6981	541	23	ϱ)un	ϱ)un	PROPN
ejpam-6981	541	24	)	)	PUNCT
ejpam-6981	541	25	]	]	PUNCT
ejpam-6981	542	1	−	−	PROPN
ejpam-6981	542	2	l	l	NOUN
ejpam-6981	542	3	(	(	PUNCT
ejpam-6981	542	4	(	(	PUNCT
ejpam-6981	542	5	1−	1−	NUM
ejpam-6981	542	6	b)ξim	b)ξim	NOUN
ejpam-6981	542	7	+	+	CCONJ
ejpam-6981	542	8	ϕvm	ϕvm	NOUN
ejpam-6981	542	9	−	−	PROPN
ejpam-6981	542	10	(	(	PUNCT
ejpam-6981	542	11	σ	σ	X
ejpam-6981	542	12	+	+	NOUN
ejpam-6981	542	13	ψ	ψ	X
ejpam-6981	542	14	+	+	CCONJ
ejpam-6981	542	15	ϱ)um	ϱ)um	PROPN
ejpam-6981	542	16	)	)	PUNCT
ejpam-6981	542	17	)	)	PUNCT
ejpam-6981	543	1	]	]	PUNCT
ejpam-6981	543	2	∥∥	∥∥	X
ejpam-6981	543	3	∥f(un(t))−f(um(t))∥	∥f(un(t))−f(um(t))∥	PUNCT
ejpam-6981	543	4	≤	≤	NUM
ejpam-6981	543	5	l−1	l−1	PROPN
ejpam-6981	543	6	[	[	X
ejpam-6981	543	7	(	(	PUNCT
ejpam-6981	543	8	s+	s+	ADP
ejpam-6981	543	9	η(1−	η(1−	PROPN
ejpam-6981	543	10	s	s	PART
ejpam-6981	543	11	)	)	PUNCT
ejpam-6981	543	12	s	s	PART
ejpam-6981	543	13	)	)	PUNCT
ejpam-6981	543	14	l	l	NOUN
ejpam-6981	544	1	[	[	X
ejpam-6981	544	2	∥∥((1−	∥∥((1−	X
ejpam-6981	544	3	b)ξ(in	b)ξ(in	NOUN
ejpam-6981	544	4	−	−	NOUN
ejpam-6981	544	5	i	i	PRON
ejpam-6981	544	6	m	m	PROPN
ejpam-6981	544	7	)	)	PUNCT
ejpam-6981	544	8	)	)	PUNCT
ejpam-6981	544	9	∥∥	∥∥	X
ejpam-6981	544	10	(	(	PUNCT
ejpam-6981	544	11	5.6	5.6	NUM
ejpam-6981	544	12	)	)	PUNCT
ejpam-6981	544	13	+	+	NUM
ejpam-6981	544	14	∥∥(ϕ(vn	∥∥(ϕ(vn	PROPN
ejpam-6981	544	15	−	−	PROPN
ejpam-6981	544	16	vm	vm	PROPN
ejpam-6981	544	17	)	)	PUNCT
ejpam-6981	544	18	)	)	PUNCT
ejpam-6981	544	19	∥∥+	∥∥+	PROPN
ejpam-6981	544	20	∥∥−	∥∥−	PROPN
ejpam-6981	544	21	(	(	PUNCT
ejpam-6981	544	22	(	(	PUNCT
ejpam-6981	544	23	σ	σ	X
ejpam-6981	544	24	+	+	NOUN
ejpam-6981	544	25	ψ	ψ	X
ejpam-6981	544	26	+	+	CCONJ
ejpam-6981	544	27	ϱ)(un	ϱ)(un	NOUN
ejpam-6981	544	28	−	−	PROPN
ejpam-6981	544	29	um	um	INTJ
ejpam-6981	544	30	)	)	PUNCT
ejpam-6981	544	31	)	)	PUNCT
ejpam-6981	545	1	∥∥	∥∥	X
ejpam-6981	545	2	]	]	X
ejpam-6981	545	3	]	]	X
ejpam-6981	545	4	(	(	PUNCT
ejpam-6981	545	5	5.7	5.7	NUM
ejpam-6981	545	6	)	)	PUNCT
ejpam-6981	545	7	as	as	SCONJ
ejpam-6981	545	8	the	the	DET
ejpam-6981	545	9	obtained	obtain	VERB
ejpam-6981	545	10	solutions	solution	NOUN
ejpam-6981	545	11	perform	perform	VERB
ejpam-6981	545	12	a	a	DET
ejpam-6981	545	13	comparable	comparable	ADJ
ejpam-6981	545	14	role	role	NOUN
ejpam-6981	545	15	,	,	PUNCT
ejpam-6981	545	16	we	we	PRON
ejpam-6981	545	17	suppose	suppose	VERB
ejpam-6981	545	18	that	that	SCONJ
ejpam-6981	545	19	∥un(t)−	∥un(t)−	PROPN
ejpam-6981	545	20	um(t)∥	um(t)∥	PROPN
ejpam-6981	545	21	=	=	SYM
ejpam-6981	545	22	∥vn(t)−	∥vn(t)−	PROPN
ejpam-6981	545	23	vm(t)∥	vm(t)∥	PROPN
ejpam-6981	545	24	,	,	PUNCT
ejpam-6981	545	25	∥un(t)−	∥un(t)−	PROPN
ejpam-6981	545	26	um(t)∥	um(t)∥	PROPN
ejpam-6981	546	1	=	=	SYM
ejpam-6981	546	2	∥in(t)−	∥in(t)−	PROPN
ejpam-6981	546	3	im(t)∥	im(t)∥	PROPN
ejpam-6981	546	4	also	also	ADV
ejpam-6981	546	5	,	,	PUNCT
ejpam-6981	546	6	un	un	PROPN
ejpam-6981	546	7	,	,	PUNCT
ejpam-6981	546	8	en	en	ADV
ejpam-6981	546	9	,	,	PUNCT
ejpam-6981	546	10	in	in	ADP
ejpam-6981	546	11	,	,	PUNCT
ejpam-6981	546	12	vn	vn	INTJ
ejpam-6981	546	13	,	,	PUNCT
ejpam-6981	546	14	and	and	CCONJ
ejpam-6981	546	15	fn	fn	NOUN
ejpam-6981	546	16	are	be	AUX
ejpam-6981	546	17	convergent	convergent	ADJ
ejpam-6981	546	18	sequences	sequence	NOUN
ejpam-6981	546	19	,	,	PUNCT
ejpam-6981	546	20	thus	thus	ADV
ejpam-6981	546	21	they	they	PRON
ejpam-6981	546	22	are	be	AUX
ejpam-6981	546	23	bounded	bound	VERB
ejpam-6981	546	24	.	.	PUNCT
ejpam-6981	547	1	consider	consider	VERB
ejpam-6981	547	2	the	the	DET
ejpam-6981	547	3	equation	equation	NOUN
ejpam-6981	547	4	in	in	ADP
ejpam-6981	547	5	(	(	PUNCT
ejpam-6981	547	6	5.6	5.6	NUM
ejpam-6981	547	7	)	)	PUNCT
ejpam-6981	547	8	.	.	PUNCT
ejpam-6981	548	1	we	we	PRON
ejpam-6981	548	2	have	have	VERB
ejpam-6981	548	3	.	.	PUNCT
ejpam-6981	549	1	∥f(un(t))−f(um(t))∥	∥f(un(t))−f(um(t))∥	PUNCT
ejpam-6981	549	2	≤	≤	NUM
ejpam-6981	550	1	l−1	l−1	PROPN
ejpam-6981	550	2	[	[	X
ejpam-6981	550	3	(	(	PUNCT
ejpam-6981	550	4	s+	s+	ADP
ejpam-6981	550	5	η(1−	η(1−	PROPN
ejpam-6981	550	6	s	s	PART
ejpam-6981	550	7	)	)	PUNCT
ejpam-6981	550	8	s	s	PART
ejpam-6981	550	9	)	)	PUNCT
ejpam-6981	550	10	l	l	NOUN
ejpam-6981	551	1	[	[	X
ejpam-6981	551	2	(	(	PUNCT
ejpam-6981	551	3	(	(	PUNCT
ejpam-6981	551	4	1−	1−	NUM
ejpam-6981	551	5	b)ξ	b)ξ	X
ejpam-6981	552	1	+	+	CCONJ
ejpam-6981	552	2	ϕ+	ϕ+	X
ejpam-6981	552	3	(	(	PUNCT
ejpam-6981	552	4	σ	σ	X
ejpam-6981	552	5	+	+	NOUN
ejpam-6981	552	6	ψ	ψ	X
ejpam-6981	552	7	+	+	CCONJ
ejpam-6981	552	8	ϱ	ϱ	NOUN
ejpam-6981	552	9	)	)	PUNCT
ejpam-6981	552	10	)	)	PUNCT
ejpam-6981	552	11	∥un	∥un	PROPN
ejpam-6981	552	12	−	−	PROPN
ejpam-6981	552	13	um∥	um∥	PROPN
ejpam-6981	552	14	]	]	X
ejpam-6981	552	15	]	]	X
ejpam-6981	552	16	≤	≤	X
ejpam-6981	552	17	(	(	PUNCT
ejpam-6981	552	18	(	(	PUNCT
ejpam-6981	552	19	1−	1−	NUM
ejpam-6981	552	20	b)ξh1(s	b)ξh1(s	PROPN
ejpam-6981	552	21	)	)	PUNCT
ejpam-6981	552	22	+	+	NUM
ejpam-6981	552	23	ϕh2(s	ϕh2(s	PROPN
ejpam-6981	552	24	)	)	PUNCT
ejpam-6981	553	1	+	+	CCONJ
ejpam-6981	553	2	(	(	PUNCT
ejpam-6981	553	3	σ	σ	X
ejpam-6981	553	4	+	+	NOUN
ejpam-6981	553	5	ψ	ψ	X
ejpam-6981	553	6	+	+	CCONJ
ejpam-6981	553	7	ϱ)h3(s	ϱ)h3(s	PROPN
ejpam-6981	553	8	)	)	PUNCT
ejpam-6981	553	9	)	)	PUNCT
ejpam-6981	554	1	∥un	∥un	PROPN
ejpam-6981	554	2	−	−	PROPN
ejpam-6981	554	3	um∥	um∥	PROPN
ejpam-6981	554	4	(	(	PUNCT
ejpam-6981	554	5	5.8	5.8	NUM
ejpam-6981	554	6	)	)	PUNCT
ejpam-6981	554	7	where	where	SCONJ
ejpam-6981	554	8	h1	h1	PROPN
ejpam-6981	554	9	,	,	PUNCT
ejpam-6981	554	10	h2	h2	NOUN
ejpam-6981	554	11	and	and	CCONJ
ejpam-6981	554	12	h3	h3	NOUN
ejpam-6981	554	13	are	be	AUX
ejpam-6981	554	14	functions	function	NOUN
ejpam-6981	554	15	from	from	ADP
ejpam-6981	554	16	l−1	l−1	PROPN
ejpam-6981	554	17	[	[	PUNCT
ejpam-6981	554	18	l	l	NOUN
ejpam-6981	554	19	(	(	PUNCT
ejpam-6981	554	20	s+η(1−s	s+η(1−s	PROPN
ejpam-6981	554	21	)	)	PUNCT
ejpam-6981	554	22	s	s	PART
ejpam-6981	554	23	)	)	PUNCT
ejpam-6981	554	24	]	]	PUNCT
ejpam-6981	554	25	in	in	ADP
ejpam-6981	554	26	the	the	DET
ejpam-6981	554	27	same	same	ADJ
ejpam-6981	554	28	manner	manner	NOUN
ejpam-6981	554	29	,	,	PUNCT
ejpam-6981	554	30	we	we	PRON
ejpam-6981	554	31	can	can	AUX
ejpam-6981	554	32	get	get	VERB
ejpam-6981	554	33	∥f(un(t))−f(um(t))∥	∥f(un(t))−f(um(t))∥	PUNCT
ejpam-6981	554	34	≤	≤	X
ejpam-6981	554	35	(	(	PUNCT
ejpam-6981	554	36	(	(	PUNCT
ejpam-6981	554	37	1−	1−	NUM
ejpam-6981	554	38	b)ξh1(s	b)ξh1(s	PROPN
ejpam-6981	554	39	)	)	PUNCT
ejpam-6981	554	40	+	+	NUM
ejpam-6981	554	41	ϕh2(s	ϕh2(s	PROPN
ejpam-6981	554	42	)	)	PUNCT
ejpam-6981	555	1	+	+	CCONJ
ejpam-6981	555	2	(	(	PUNCT
ejpam-6981	555	3	σ	σ	X
ejpam-6981	555	4	+	+	NOUN
ejpam-6981	555	5	ψ	ψ	X
ejpam-6981	555	6	+	+	CCONJ
ejpam-6981	555	7	ϱ)h3(s	ϱ)h3(s	PROPN
ejpam-6981	555	8	)	)	PUNCT
ejpam-6981	555	9	)	)	PUNCT
ejpam-6981	556	1	∥un	∥un	PROPN
ejpam-6981	556	2	−	−	PROPN
ejpam-6981	556	3	um∥	um∥	PROPN
ejpam-6981	556	4	a.	a.	NOUN
ejpam-6981	556	5	shaikh	shaikh	PROPN
ejpam-6981	556	6	,	,	PUNCT
ejpam-6981	556	7	s.	s.	PROPN
ejpam-6981	556	8	howal	howal	PROPN
ejpam-6981	556	9	,	,	PUNCT
ejpam-6981	556	10	k.	k.	PROPN
ejpam-6981	556	11	s.	s.	PROPN
ejpam-6981	556	12	nisar	nisar	PROPN
ejpam-6981	556	13	/	/	SYM
ejpam-6981	556	14	eur	eur	PROPN
ejpam-6981	556	15	.	.	PUNCT
ejpam-6981	557	1	j.	j.	PROPN
ejpam-6981	557	2	pure	pure	PROPN
ejpam-6981	557	3	appl	appl	PROPN
ejpam-6981	557	4	.	.	PROPN
ejpam-6981	557	5	math	math	PROPN
ejpam-6981	557	6	,	,	PUNCT
ejpam-6981	557	7	18	18	NUM
ejpam-6981	557	8	(	(	PUNCT
ejpam-6981	557	9	4	4	NUM
ejpam-6981	557	10	)	)	PUNCT
ejpam-6981	557	11	(	(	PUNCT
ejpam-6981	557	12	2025	2025	NUM
ejpam-6981	557	13	)	)	PUNCT
ejpam-6981	557	14	,	,	PUNCT
ejpam-6981	557	15	6981	6981	NUM
ejpam-6981	557	16	18	18	NUM
ejpam-6981	557	17	∥f(en(t))−f(em(t))∥	∥f(en(t))−f(em(t))∥	PROPN
ejpam-6981	557	18	≤	≤	X
ejpam-6981	557	19	(	(	PUNCT
ejpam-6981	557	20	σf1(s)−	σf1(s)−	PROPN
ejpam-6981	557	21	(	(	PUNCT
ejpam-6981	557	22	χ+	χ+	PROPN
ejpam-6981	557	23	ϱ)f2(s	ϱ)f2(s	PROPN
ejpam-6981	557	24	)	)	PUNCT
ejpam-6981	557	25	)	)	PUNCT
ejpam-6981	557	26	∥en	∥en	NUM
ejpam-6981	558	1	−	−	PROPN
ejpam-6981	558	2	em∥	em∥	NOUN
ejpam-6981	558	3	∥f(in(t))−f(im(t))∥	∥f(in(t))−f(im(t))∥	PUNCT
ejpam-6981	558	4	≤	≤	NOUN
ejpam-6981	558	5	(	(	PUNCT
ejpam-6981	558	6	χg1(s)−	χg1(s)−	X
ejpam-6981	558	7	(	(	PUNCT
ejpam-6981	558	8	ξ	ξ	X
ejpam-6981	558	9	+	+	PUNCT
ejpam-6981	558	10	ϱ+	ϱ+	NOUN
ejpam-6981	558	11	∂)g2(s	∂)g2(s	NUM
ejpam-6981	558	12	)	)	PUNCT
ejpam-6981	558	13	)	)	PUNCT
ejpam-6981	558	14	∥in	∥in	VERB
ejpam-6981	558	15	−	−	PROPN
ejpam-6981	558	16	im∥	im∥	PROPN
ejpam-6981	558	17	∥f(vn(t))−f(vm(t))∥	∥f(vn(t))−f(vm(t))∥	VERB
ejpam-6981	558	18	≤	≤	PROPN
ejpam-6981	559	1	(	(	PUNCT
ejpam-6981	559	2	qπ	qπ	NOUN
ejpam-6981	559	3	+	+	CCONJ
ejpam-6981	559	4	(	(	PUNCT
ejpam-6981	559	5	1−	1−	NUM
ejpam-6981	559	6	b)ξz1(s	b)ξz1(s	PROPN
ejpam-6981	559	7	)	)	PUNCT
ejpam-6981	560	1	+	+	NUM
ejpam-6981	560	2	ϕz1(s)−	ϕz1(s)−	PROPN
ejpam-6981	560	3	(	(	PUNCT
ejpam-6981	560	4	σ	σ	X
ejpam-6981	560	5	+	+	NOUN
ejpam-6981	560	6	ψ	ψ	X
ejpam-6981	560	7	+	+	CCONJ
ejpam-6981	560	8	ϱ)z1(s	ϱ)z1(	NOUN
ejpam-6981	560	9	)	)	PUNCT
ejpam-6981	560	10	)	)	PUNCT
ejpam-6981	560	11	∥vn	∥vn	VERB
ejpam-6981	560	12	−	−	PROPN
ejpam-6981	560	13	vm∥	vm∥	NOUN
ejpam-6981	560	14	∥f(fn(t))−f(fm(t))∥	∥f(fn(t))−f(fm(t))∥	SYM
ejpam-6981	560	15	≤	≤	NOUN
ejpam-6981	560	16	(	(	PUNCT
ejpam-6981	560	17	θx1(s)−	θx1(s)−	X
ejpam-6981	560	18	(	(	PUNCT
ejpam-6981	560	19	ε+	ε+	NOUN
ejpam-6981	560	20	ϱ)x2(s	ϱ)x2(s	NOUN
ejpam-6981	560	21	)	)	PUNCT
ejpam-6981	560	22	)	)	PUNCT
ejpam-6981	561	1	∥fn	∥fn	PROPN
ejpam-6981	561	2	−	−	PROPN
ejpam-6981	561	3	fm∥	fm∥	PROPN
ejpam-6981	561	4	∥f(qn(t))−f(qm(t))∥	∥f(qn(t))−f(qm(t))∥	PROPN
ejpam-6981	561	5	≤	≤	PROPN
ejpam-6981	561	6	(	(	PUNCT
ejpam-6981	561	7	ϵy1(s)−	ϵy1(s)−	PROPN
ejpam-6981	561	8	(	(	PUNCT
ejpam-6981	561	9	µ+	µ+	X
ejpam-6981	561	10	ϱ+	ϱ+	PUNCT
ejpam-6981	561	11	κ)y2(s	κ)y2(s	NOUN
ejpam-6981	561	12	)	)	PUNCT
ejpam-6981	561	13	)	)	PUNCT
ejpam-6981	561	14	∥qn	∥qn	VERB
ejpam-6981	561	15	−qm∥	−qm∥	NOUN
ejpam-6981	561	16	(	(	PUNCT
ejpam-6981	561	17	5.9	5.9	NUM
ejpam-6981	561	18	)	)	PUNCT
ejpam-6981	561	19	hence	hence	ADV
ejpam-6981	561	20	,	,	PUNCT
ejpam-6981	561	21	the	the	DET
ejpam-6981	561	22	function	function	NOUN
ejpam-6981	561	23	f−	f−	PROPN
ejpam-6981	561	24	has	have	VERB
ejpam-6981	561	25	a	a	DET
ejpam-6981	561	26	fixed	fix	VERB
ejpam-6981	561	27	point	point	NOUN
ejpam-6981	561	28	.	.	PUNCT
ejpam-6981	562	1	now	now	ADV
ejpam-6981	562	2	show	show	VERB
ejpam-6981	562	3	that	that	SCONJ
ejpam-6981	562	4	f	f	PROPN
ejpam-6981	562	5	meets	meet	VERB
ejpam-6981	562	6	every	every	PRON
ejpam-6981	562	7	the	the	DET
ejpam-6981	562	8	conditions	condition	NOUN
ejpam-6981	562	9	listed	list	VERB
ejpam-6981	562	10	above	above	ADV
ejpam-6981	562	11	.	.	PUNCT
ejpam-6981	563	1	theorem	theorem	VERB
ejpam-6981	563	2	4.1	4.1	NUM
ejpam-6981	563	3	.	.	PUNCT
ejpam-6981	564	1	here	here	ADV
ejpam-6981	564	2	(	(	PUNCT
ejpam-6981	564	3	5.8	5.8	NUM
ejpam-6981	564	4	)	)	PUNCT
ejpam-6981	564	5	and	and	CCONJ
ejpam-6981	564	6	(	(	PUNCT
ejpam-6981	564	7	5.9	5.9	NUM
ejpam-6981	564	8	)	)	PUNCT
ejpam-6981	564	9	is	be	AUX
ejpam-6981	564	10	valid	valid	ADJ
ejpam-6981	564	11	,	,	PUNCT
ejpam-6981	564	12	likewise	likewise	ADV
ejpam-6981	564	13	by	by	ADP
ejpam-6981	564	14	using	use	VERB
ejpam-6981	564	15	φ	φ	PROPN
ejpam-6981	564	16	=	=	SYM
ejpam-6981	564	17	(	(	PUNCT
ejpam-6981	564	18	0	0	NUM
ejpam-6981	564	19	,	,	PUNCT
ejpam-6981	564	20	0	0	NUM
ejpam-6981	564	21	,	,	PUNCT
ejpam-6981	564	22	0	0	NUM
ejpam-6981	564	23	,	,	PUNCT
ejpam-6981	564	24	0	0	NUM
ejpam-6981	564	25	,	,	PUNCT
ejpam-6981	564	26	0	0	NUM
ejpam-6981	564	27	,	,	PUNCT
ejpam-6981	564	28	0	0	NUM
ejpam-6981	564	29	)	)	PUNCT
ejpam-6981	564	30	,	,	PUNCT
ejpam-6981	564	31	φ	φ	PROPN
ejpam-6981	564	32	=	=	SYM
ejpam-6981	564	33			PROPN
ejpam-6981	564	34	(	(	PUNCT
ejpam-6981	564	35	(	(	PUNCT
ejpam-6981	564	36	1−	1−	NUM
ejpam-6981	564	37	b)ξh1(s	b)ξh1(s	PROPN
ejpam-6981	564	38	)	)	PUNCT
ejpam-6981	564	39	+	+	NUM
ejpam-6981	564	40	ϕh2(s	ϕh2(s	PROPN
ejpam-6981	564	41	)	)	PUNCT
ejpam-6981	565	1	+	+	CCONJ
ejpam-6981	565	2	(	(	PUNCT
ejpam-6981	565	3	σ	σ	X
ejpam-6981	565	4	+	+	NOUN
ejpam-6981	565	5	ψ	ψ	X
ejpam-6981	565	6	+	+	CCONJ
ejpam-6981	565	7	ϱ)h3(s	ϱ)h3(s	PROPN
ejpam-6981	565	8	)	)	PUNCT
ejpam-6981	565	9	)	)	PUNCT
ejpam-6981	566	1	<	<	X
ejpam-6981	566	2	1	1	X
ejpam-6981	566	3	(	(	PUNCT
ejpam-6981	566	4	σf1(s)−	σf1(s)−	PROPN
ejpam-6981	566	5	(	(	PUNCT
ejpam-6981	566	6	χ+	χ+	PROPN
ejpam-6981	566	7	ϱ)f2(s	ϱ)f2(s	PROPN
ejpam-6981	566	8	)	)	PUNCT
ejpam-6981	566	9	)	)	PUNCT
ejpam-6981	567	1	<	<	X
ejpam-6981	567	2	1	1	NUM
ejpam-6981	567	3	(	(	PUNCT
ejpam-6981	567	4	χg1(s)−	χg1(s)−	X
ejpam-6981	567	5	(	(	PUNCT
ejpam-6981	567	6	ξ	ξ	X
ejpam-6981	567	7	+	+	PUNCT
ejpam-6981	567	8	ϱ+	ϱ+	NOUN
ejpam-6981	567	9	∂)g2(s	∂)g2(s	NUM
ejpam-6981	567	10	)	)	PUNCT
ejpam-6981	567	11	)	)	PUNCT
ejpam-6981	568	1	<	<	X
ejpam-6981	568	2	1	1	NUM
ejpam-6981	568	3	(	(	PUNCT
ejpam-6981	568	4	qπ	qπ	NOUN
ejpam-6981	568	5	+	+	CCONJ
ejpam-6981	568	6	(	(	PUNCT
ejpam-6981	568	7	1−	1−	NUM
ejpam-6981	568	8	b)ξz1(s	b)ξz1(s	PROPN
ejpam-6981	568	9	)	)	PUNCT
ejpam-6981	568	10	+	+	NUM
ejpam-6981	568	11	ϕz1(s)−	ϕz1(s)−	PROPN
ejpam-6981	568	12	(	(	PUNCT
ejpam-6981	569	1	σ	σ	X
ejpam-6981	569	2	+	+	NOUN
ejpam-6981	569	3	ψ	ψ	X
ejpam-6981	569	4	+	+	CCONJ
ejpam-6981	569	5	ϱ)z1(s	ϱ)z1(	NOUN
ejpam-6981	569	6	)	)	PUNCT
ejpam-6981	569	7	)	)	PUNCT
ejpam-6981	569	8	<	<	X
ejpam-6981	569	9	1	1	NUM
ejpam-6981	569	10	(	(	PUNCT
ejpam-6981	569	11	θx1(s)−	θx1(s)−	PROPN
ejpam-6981	569	12	(	(	PUNCT
ejpam-6981	569	13	ε+	ε+	NOUN
ejpam-6981	569	14	ϱ)x2(s	ϱ)x2(s	NOUN
ejpam-6981	569	15	)	)	PUNCT
ejpam-6981	569	16	)	)	PUNCT
ejpam-6981	570	1	<	<	X
ejpam-6981	570	2	1	1	NUM
ejpam-6981	570	3	(	(	PUNCT
ejpam-6981	570	4	ϵy1(s)−	ϵy1(s)−	PROPN
ejpam-6981	570	5	(	(	PUNCT
ejpam-6981	570	6	µ+	µ+	X
ejpam-6981	570	7	ϱ+	ϱ+	PUNCT
ejpam-6981	570	8	κ)y2(s	κ)y2(s	NOUN
ejpam-6981	570	9	)	)	PUNCT
ejpam-6981	570	10	)	)	PUNCT
ejpam-6981	570	11	<	<	X
ejpam-6981	570	12	1	1	NUM
ejpam-6981	570	13	all	all	PRON
ejpam-6981	570	14	of	of	ADP
ejpam-6981	570	15	the	the	DET
ejpam-6981	570	16	requirements	requirement	NOUN
ejpam-6981	570	17	in	in	ADP
ejpam-6981	570	18	theorem	theorem	ADJ
ejpam-6981	570	19	4.2	4.2	NUM
ejpam-6981	570	20	are	be	AUX
ejpam-6981	570	21	met	meet	VERB
ejpam-6981	570	22	by	by	ADP
ejpam-6981	570	23	f	f	PROPN
ejpam-6981	570	24	.	.	PUNCT
ejpam-6981	571	1	thus	thus	ADV
ejpam-6981	571	2	,	,	PUNCT
ejpam-6981	571	3	f	f	PROPN
ejpam-6981	571	4	is	be	AUX
ejpam-6981	571	5	picard	picard	PROPN
ejpam-6981	571	6	f−	f−	NOUN
ejpam-6981	571	7	stable	stable	ADJ
ejpam-6981	571	8	.	.	PUNCT
ejpam-6981	572	1	6	6	X
ejpam-6981	572	2	.	.	X
ejpam-6981	572	3	illustration	illustration	NOUN
ejpam-6981	572	4	at	at	ADP
ejpam-6981	572	5	this	this	DET
ejpam-6981	572	6	stage	stage	NOUN
ejpam-6981	572	7	,	,	PUNCT
ejpam-6981	572	8	we	we	PRON
ejpam-6981	572	9	perform	perform	VERB
ejpam-6981	572	10	computational	computational	ADJ
ejpam-6981	572	11	experiments	experiment	NOUN
ejpam-6981	572	12	of	of	ADP
ejpam-6981	572	13	the	the	DET
ejpam-6981	572	14	caputo	caputo	PROPN
ejpam-6981	572	15	-	-	PUNCT
ejpam-6981	572	16	fabrizio	fabrizio	PROPN
ejpam-6981	572	17	operator	operator	NOUN
ejpam-6981	572	18	model	model	NOUN
ejpam-6981	572	19	for	for	ADP
ejpam-6981	572	20	malaria	malaria	NOUN
ejpam-6981	572	21	and	and	CCONJ
ejpam-6981	572	22	malnutrition	malnutrition	NOUN
ejpam-6981	572	23	,	,	PUNCT
ejpam-6981	572	24	represented	represent	VERB
ejpam-6981	572	25	by	by	ADP
ejpam-6981	572	26	equation	equation	NOUN
ejpam-6981	572	27	(	(	PUNCT
ejpam-6981	572	28	2.1	2.1	NUM
ejpam-6981	572	29	)	)	PUNCT
ejpam-6981	572	30	,	,	PUNCT
ejpam-6981	572	31	considering	consider	VERB
ejpam-6981	572	32	initial	initial	ADJ
ejpam-6981	572	33	conditions	condition	NOUN
ejpam-6981	572	34	u0	u0	ADJ
ejpam-6981	572	35	=	=	SYM
ejpam-6981	572	36	0	0	NUM
ejpam-6981	572	37	,	,	PUNCT
ejpam-6981	572	38	e0	e0	PROPN
ejpam-6981	572	39	=	=	SYM
ejpam-6981	572	40	0	0	NUM
ejpam-6981	572	41	,	,	PUNCT
ejpam-6981	572	42	i0	i0	PROPN
ejpam-6981	572	43	=	=	SYM
ejpam-6981	572	44	0	0	NUM
ejpam-6981	572	45	,	,	PUNCT
ejpam-6981	572	46	v0	v0	NOUN
ejpam-6981	572	47	=	=	SYM
ejpam-6981	572	48	0	0	NUM
ejpam-6981	572	49	,	,	PUNCT
ejpam-6981	572	50	f0	f0	PROPN
ejpam-6981	572	51	=	=	SYM
ejpam-6981	572	52	0	0	PROPN
ejpam-6981	572	53	,	,	PUNCT
ejpam-6981	572	54	q0	q0	NOUN
ejpam-6981	572	55	=	=	SYM
ejpam-6981	572	56	0	0	NUM
ejpam-6981	572	57	,	,	PUNCT
ejpam-6981	572	58	across	across	ADP
ejpam-6981	572	59	various	various	ADJ
ejpam-6981	572	60	fractional	fractional	ADJ
ejpam-6981	572	61	order	order	NOUN
ejpam-6981	572	62	values	value	VERB
ejpam-6981	572	63	η	η	PROPN
ejpam-6981	572	64	∈	∈	PROPN
ejpam-6981	572	65	(	(	PUNCT
ejpam-6981	572	66	0	0	NUM
ejpam-6981	572	67	,	,	PUNCT
ejpam-6981	572	68	1	1	NUM
ejpam-6981	572	69	)	)	PUNCT
ejpam-6981	572	70	.	.	PUNCT
ejpam-6981	573	1	the	the	DET
ejpam-6981	573	2	corresponding	corresponding	ADJ
ejpam-6981	573	3	physical	physical	ADJ
ejpam-6981	573	4	factors	factor	NOUN
ejpam-6981	573	5	together	together	ADV
ejpam-6981	573	6	have	have	VERB
ejpam-6981	573	7	values	value	NOUN
ejpam-6981	573	8	as	as	SCONJ
ejpam-6981	573	9	provided	provide	VERB
ejpam-6981	573	10	.	.	PUNCT
ejpam-6981	574	1	a.	a.	PROPN
ejpam-6981	574	2	shaikh	shaikh	PROPN
ejpam-6981	574	3	,	,	PUNCT
ejpam-6981	574	4	s.	s.	PROPN
ejpam-6981	574	5	howal	howal	PROPN
ejpam-6981	574	6	,	,	PUNCT
ejpam-6981	574	7	k.	k.	PROPN
ejpam-6981	574	8	s.	s.	PROPN
ejpam-6981	574	9	nisar	nisar	PROPN
ejpam-6981	574	10	/	/	SYM
ejpam-6981	574	11	eur	eur	PROPN
ejpam-6981	574	12	.	.	PUNCT
ejpam-6981	575	1	j.	j.	PROPN
ejpam-6981	575	2	pure	pure	PROPN
ejpam-6981	575	3	appl	appl	PROPN
ejpam-6981	575	4	.	.	PROPN
ejpam-6981	575	5	math	math	PROPN
ejpam-6981	575	6	,	,	PUNCT
ejpam-6981	575	7	18	18	NUM
ejpam-6981	575	8	(	(	PUNCT
ejpam-6981	575	9	4	4	NUM
ejpam-6981	575	10	)	)	PUNCT
ejpam-6981	575	11	(	(	PUNCT
ejpam-6981	575	12	2025	2025	NUM
ejpam-6981	575	13	)	)	PUNCT
ejpam-6981	575	14	,	,	PUNCT
ejpam-6981	575	15	6981	6981	NUM
ejpam-6981	575	16	19	19	NUM
ejpam-6981	575	17	table	table	NOUN
ejpam-6981	575	18	1	1	NUM
ejpam-6981	575	19	:	:	SYM
ejpam-6981	575	20	1	1	NUM
ejpam-6981	575	21	model	model	NOUN
ejpam-6981	575	22	parameters	parameter	NOUN
ejpam-6981	575	23	variable	variable	ADJ
ejpam-6981	575	24	explanation	explanation	NOUN
ejpam-6981	575	25	value	value	NOUN
ejpam-6981	575	26	reference	reference	NOUN
ejpam-6981	575	27	π	π	X
ejpam-6981	575	28	the	the	DET
ejpam-6981	575	29	rate	rate	NOUN
ejpam-6981	575	30	at	at	ADP
ejpam-6981	575	31	which	which	PRON
ejpam-6981	575	32	the	the	DET
ejpam-6981	575	33	host	host	NOUN
ejpam-6981	575	34	population	population	NOUN
ejpam-6981	575	35	is	be	AUX
ejpam-6981	575	36	being	be	AUX
ejpam-6981	575	37	recruited	recruit	VERB
ejpam-6981	575	38	1520	1520	NUM
ejpam-6981	575	39	[	[	X
ejpam-6981	575	40	31	31	NUM
ejpam-6981	575	41	]	]	SYM
ejpam-6981	575	42	χ	χ	X
ejpam-6981	575	43	,	,	PUNCT
ejpam-6981	575	44	ϵ	ϵ	X
ejpam-6981	575	45	the	the	DET
ejpam-6981	575	46	rate	rate	NOUN
ejpam-6981	575	47	of	of	ADP
ejpam-6981	575	48	transition	transition	NOUN
ejpam-6981	575	49	from	from	ADP
ejpam-6981	575	50	infected	infect	VERB
ejpam-6981	575	51	to	to	ADP
ejpam-6981	575	52	infectious	infectious	ADJ
ejpam-6981	575	53	0.05	0.05	NUM
ejpam-6981	575	54	,	,	PUNCT
ejpam-6981	575	55	0.001333	0.001333	NUM
ejpam-6981	575	56	[	[	X
ejpam-6981	575	57	11	11	NUM
ejpam-6981	575	58	]	]	SYM
ejpam-6981	575	59	ξ	ξ	PROPN
ejpam-6981	575	60	,	,	PUNCT
ejpam-6981	575	61	µ	µ	DET
ejpam-6981	575	62	the	the	DET
ejpam-6981	575	63	rate	rate	NOUN
ejpam-6981	575	64	of	of	ADP
ejpam-6981	575	65	translation	translation	NOUN
ejpam-6981	575	66	from	from	ADP
ejpam-6981	575	67	infectious	infectious	ADJ
ejpam-6981	575	68	to	to	AUX
ejpam-6981	575	69	susceptible	susceptible	ADJ
ejpam-6981	575	70	0.10333	0.10333	NUM
ejpam-6981	575	71	,	,	PUNCT
ejpam-6981	575	72	0.08333	0.08333	NUM
ejpam-6981	575	73	[	[	X
ejpam-6981	575	74	11	11	NUM
ejpam-6981	575	75	]	]	SYM
ejpam-6981	575	76	b	b	NOUN
ejpam-6981	575	77	proportion	proportion	NOUN
ejpam-6981	575	78	of	of	ADP
ejpam-6981	575	79	people	people	NOUN
ejpam-6981	575	80	who	who	PRON
ejpam-6981	575	81	successfully	successfully	ADV
ejpam-6981	575	82	overcome	overcome	VERB
ejpam-6981	575	83	malaria	malaria	NOUN
ejpam-6981	575	84	0.027	0.027	NUM
ejpam-6981	575	85	assumed	assume	VERB
ejpam-6981	575	86	ϱ	ϱ	ADP
ejpam-6981	575	87	rate	rate	NOUN
ejpam-6981	575	88	of	of	ADP
ejpam-6981	575	89	mortality	mortality	NOUN
ejpam-6981	575	90	due	due	ADP
ejpam-6981	575	91	to	to	ADP
ejpam-6981	575	92	natural	natural	ADJ
ejpam-6981	575	93	causes	cause	NOUN
ejpam-6981	575	94	1	1	NUM
ejpam-6981	575	95	365×	365×	NUM
ejpam-6981	575	96	5	5	NUM
ejpam-6981	575	97	assumed	assume	VERB
ejpam-6981	575	98	∂	∂	NUM
ejpam-6981	575	99	malaria	malaria	NOUN
ejpam-6981	575	100	mortality	mortality	NOUN
ejpam-6981	575	101	rate	rate	NOUN
ejpam-6981	575	102	0.00183542	0.00183542	NUM
ejpam-6981	576	1	[	[	X
ejpam-6981	576	2	32	32	NUM
ejpam-6981	576	3	]	]	PUNCT
ejpam-6981	576	4	κ	κ	NOUN
ejpam-6981	576	5	mortality	mortality	NOUN
ejpam-6981	576	6	rate	rate	NOUN
ejpam-6981	576	7	caused	cause	VERB
ejpam-6981	576	8	by	by	ADP
ejpam-6981	576	9	malaria	malaria	NOUN
ejpam-6981	576	10	and	and	CCONJ
ejpam-6981	576	11	malnutrition	malnutrition	NOUN
ejpam-6981	576	12	9.4	9.4	NUM
ejpam-6981	577	1	[	[	X
ejpam-6981	577	2	32	32	NUM
ejpam-6981	577	3	]	]	PUNCT
ejpam-6981	577	4	ϕ	ϕ	NOUN
ejpam-6981	577	5	transition	transition	NOUN
ejpam-6981	577	6	rate	rate	NOUN
ejpam-6981	577	7	from	from	ADP
ejpam-6981	577	8	malnourished	malnourished	ADJ
ejpam-6981	577	9	susceptible	susceptible	ADJ
ejpam-6981	577	10	individuals	individual	NOUN
ejpam-6981	577	11	to	to	PART
ejpam-6981	577	12	properly	properly	ADV
ejpam-6981	577	13	nourished	nourish	VERB
ejpam-6981	577	14	susceptible	susceptible	ADJ
ejpam-6981	577	15	individuals	individual	NOUN
ejpam-6981	577	16	0.00000986	0.00000986	NUM
ejpam-6981	577	17	[	[	X
ejpam-6981	577	18	33	33	NUM
ejpam-6981	577	19	]	]	X
ejpam-6981	577	20	q	q	NOUN
ejpam-6981	577	21	fraction	fraction	NOUN
ejpam-6981	577	22	of	of	ADP
ejpam-6981	577	23	new	new	ADJ
ejpam-6981	577	24	entries	entry	NOUN
ejpam-6981	577	25	as	as	ADP
ejpam-6981	577	26	properly	properly	ADV
ejpam-6981	577	27	nourished	nourish	VERB
ejpam-6981	577	28	susceptible	susceptible	ADJ
ejpam-6981	577	29	2	2	NUM
ejpam-6981	577	30	3	3	NUM
ejpam-6981	577	31	figure	figure	NOUN
ejpam-6981	577	32	1	1	NUM
ejpam-6981	577	33	:	:	PUNCT
ejpam-6981	577	34	near	near	ADJ
ejpam-6981	577	35	estimate	estimate	NOUN
ejpam-6981	577	36	of	of	ADP
ejpam-6981	577	37	nourished	nourish	VERB
ejpam-6981	577	38	susceptible	susceptible	ADJ
ejpam-6981	577	39	individuals	individual	NOUN
ejpam-6981	577	40	a.	a.	NOUN
ejpam-6981	577	41	shaikh	shaikh	PROPN
ejpam-6981	577	42	,	,	PUNCT
ejpam-6981	577	43	s.	s.	PROPN
ejpam-6981	577	44	howal	howal	PROPN
ejpam-6981	577	45	,	,	PUNCT
ejpam-6981	577	46	k.	k.	PROPN
ejpam-6981	577	47	s.	s.	PROPN
ejpam-6981	577	48	nisar	nisar	PROPN
ejpam-6981	577	49	/	/	SYM
ejpam-6981	577	50	eur	eur	PROPN
ejpam-6981	577	51	.	.	PUNCT
ejpam-6981	578	1	j.	j.	PROPN
ejpam-6981	578	2	pure	pure	PROPN
ejpam-6981	578	3	appl	appl	PROPN
ejpam-6981	578	4	.	.	PROPN
ejpam-6981	578	5	math	math	PROPN
ejpam-6981	578	6	,	,	PUNCT
ejpam-6981	578	7	18	18	NUM
ejpam-6981	578	8	(	(	PUNCT
ejpam-6981	578	9	4	4	NUM
ejpam-6981	578	10	)	)	PUNCT
ejpam-6981	578	11	(	(	PUNCT
ejpam-6981	578	12	2025	2025	NUM
ejpam-6981	578	13	)	)	PUNCT
ejpam-6981	578	14	,	,	PUNCT
ejpam-6981	578	15	6981	6981	NUM
ejpam-6981	578	16	20	20	NUM
ejpam-6981	578	17	figure	figure	NOUN
ejpam-6981	578	18	2	2	NUM
ejpam-6981	578	19	:	:	PUNCT
ejpam-6981	578	20	near	near	ADJ
ejpam-6981	578	21	estimate	estimate	NOUN
ejpam-6981	578	22	of	of	ADP
ejpam-6981	578	23	carrier	carrier	NOUN
ejpam-6981	578	24	exposed	expose	VERB
ejpam-6981	578	25	mosquitoes	mosquito	NOUN
ejpam-6981	578	26	individuals	individual	NOUN
ejpam-6981	578	27	figure	figure	VERB
ejpam-6981	578	28	3	3	NUM
ejpam-6981	578	29	:	:	PUNCT
ejpam-6981	578	30	near	near	ADJ
ejpam-6981	578	31	estimate	estimate	NOUN
ejpam-6981	578	32	of	of	ADP
ejpam-6981	578	33	infectious	infectious	ADJ
ejpam-6981	578	34	mosquitoes	mosquito	NOUN
ejpam-6981	578	35	individuals	individual	NOUN
ejpam-6981	578	36	a.	a.	PROPN
ejpam-6981	578	37	shaikh	shaikh	PROPN
ejpam-6981	578	38	,	,	PUNCT
ejpam-6981	578	39	s.	s.	PROPN
ejpam-6981	578	40	howal	howal	PROPN
ejpam-6981	578	41	,	,	PUNCT
ejpam-6981	578	42	k.	k.	PROPN
ejpam-6981	578	43	s.	s.	PROPN
ejpam-6981	578	44	nisar	nisar	PROPN
ejpam-6981	578	45	/	/	SYM
ejpam-6981	578	46	eur	eur	PROPN
ejpam-6981	578	47	.	.	PUNCT
ejpam-6981	579	1	j.	j.	PROPN
ejpam-6981	579	2	pure	pure	PROPN
ejpam-6981	579	3	appl	appl	PROPN
ejpam-6981	579	4	.	.	PROPN
ejpam-6981	579	5	math	math	PROPN
ejpam-6981	579	6	,	,	PUNCT
ejpam-6981	579	7	18	18	NUM
ejpam-6981	579	8	(	(	PUNCT
ejpam-6981	579	9	4	4	NUM
ejpam-6981	579	10	)	)	PUNCT
ejpam-6981	579	11	(	(	PUNCT
ejpam-6981	579	12	2025	2025	NUM
ejpam-6981	579	13	)	)	PUNCT
ejpam-6981	579	14	,	,	PUNCT
ejpam-6981	579	15	6981	6981	NUM
ejpam-6981	579	16	21	21	NUM
ejpam-6981	579	17	figure	figure	NOUN
ejpam-6981	579	18	4	4	NUM
ejpam-6981	579	19	:	:	PUNCT
ejpam-6981	579	20	near	near	ADJ
ejpam-6981	579	21	estimate	estimate	NOUN
ejpam-6981	579	22	of	of	ADP
ejpam-6981	579	23	malnourished	malnourished	ADJ
ejpam-6981	579	24	susceptible	susceptible	ADJ
ejpam-6981	579	25	individuals	individual	NOUN
ejpam-6981	579	26	figure	figure	VERB
ejpam-6981	579	27	5	5	NUM
ejpam-6981	579	28	:	:	PUNCT
ejpam-6981	579	29	near	near	ADJ
ejpam-6981	579	30	estimate	estimate	NOUN
ejpam-6981	579	31	of	of	ADP
ejpam-6981	579	32	malnourished	malnourished	ADJ
ejpam-6981	579	33	exposed	expose	VERB
ejpam-6981	579	34	individuals	individual	NOUN
ejpam-6981	579	35	a.	a.	NOUN
ejpam-6981	579	36	shaikh	shaikh	PROPN
ejpam-6981	579	37	,	,	PUNCT
ejpam-6981	579	38	s.	s.	PROPN
ejpam-6981	579	39	howal	howal	PROPN
ejpam-6981	579	40	,	,	PUNCT
ejpam-6981	579	41	k.	k.	PROPN
ejpam-6981	579	42	s.	s.	PROPN
ejpam-6981	579	43	nisar	nisar	PROPN
ejpam-6981	579	44	/	/	SYM
ejpam-6981	579	45	eur	eur	PROPN
ejpam-6981	579	46	.	.	PUNCT
ejpam-6981	580	1	j.	j.	PROPN
ejpam-6981	580	2	pure	pure	PROPN
ejpam-6981	580	3	appl	appl	PROPN
ejpam-6981	580	4	.	.	PROPN
ejpam-6981	580	5	math	math	PROPN
ejpam-6981	580	6	,	,	PUNCT
ejpam-6981	580	7	18	18	NUM
ejpam-6981	580	8	(	(	PUNCT
ejpam-6981	580	9	4	4	NUM
ejpam-6981	580	10	)	)	PUNCT
ejpam-6981	580	11	(	(	PUNCT
ejpam-6981	580	12	2025	2025	NUM
ejpam-6981	580	13	)	)	PUNCT
ejpam-6981	580	14	,	,	PUNCT
ejpam-6981	580	15	6981	6981	NUM
ejpam-6981	580	16	22	22	NUM
ejpam-6981	580	17	figure	figure	NOUN
ejpam-6981	580	18	6	6	NUM
ejpam-6981	580	19	:	:	PUNCT
ejpam-6981	580	20	near	near	ADJ
ejpam-6981	580	21	estimate	estimate	NOUN
ejpam-6981	580	22	of	of	ADP
ejpam-6981	580	23	malnourished	malnourished	ADJ
ejpam-6981	580	24	infected	infect	VERB
ejpam-6981	580	25	individuals	individual	NOUN
ejpam-6981	580	26	7	7	NUM
ejpam-6981	580	27	.	.	PUNCT
ejpam-6981	580	28	numerical	numerical	ADJ
ejpam-6981	580	29	results	result	NOUN
ejpam-6981	580	30	and	and	CCONJ
ejpam-6981	580	31	discussion	discussion	NOUN
ejpam-6981	580	32	diagrams	diagram	NOUN
ejpam-6981	580	33	1	1	NUM
ejpam-6981	580	34	through	through	ADP
ejpam-6981	580	35	6	6	NUM
ejpam-6981	580	36	depict	depict	NOUN
ejpam-6981	580	37	the	the	DET
ejpam-6981	580	38	results	result	NOUN
ejpam-6981	580	39	of	of	ADP
ejpam-6981	580	40	computational	computational	ADJ
ejpam-6981	580	41	experiments	experiment	NOUN
ejpam-6981	580	42	illustrating	illustrate	VERB
ejpam-6981	580	43	nourished	nourish	VERB
ejpam-6981	580	44	susceptible	susceptible	ADJ
ejpam-6981	580	45	individuals	individual	NOUN
ejpam-6981	580	46	u(t	u(t	NOUN
ejpam-6981	580	47	)	)	PUNCT
ejpam-6981	580	48	,	,	PUNCT
ejpam-6981	580	49	nourished	nourish	VERB
ejpam-6981	580	50	exposed	expose	VERB
ejpam-6981	580	51	e(t	e(t	NOUN
ejpam-6981	580	52	)	)	PUNCT
ejpam-6981	580	53	,	,	PUNCT
ejpam-6981	580	54	nourished	nourish	VERB
ejpam-6981	580	55	contagious	contagious	ADJ
ejpam-6981	580	56	persons	person	NOUN
ejpam-6981	580	57	i(t	i(t	NOUN
ejpam-6981	580	58	)	)	PUNCT
ejpam-6981	580	59	,	,	PUNCT
ejpam-6981	580	60	malnourished	malnourish	VERB
ejpam-6981	580	61	susceptible	susceptible	ADJ
ejpam-6981	580	62	persons	person	NOUN
ejpam-6981	580	63	v	v	ADP
ejpam-6981	580	64	(	(	PUNCT
ejpam-6981	580	65	t	t	PROPN
ejpam-6981	580	66	)	)	PUNCT
ejpam-6981	580	67	,	,	PUNCT
ejpam-6981	580	68	malnourished	malnourished	PROPN
ejpam-6981	580	69	exposed	expose	VERB
ejpam-6981	580	70	f	f	PROPN
ejpam-6981	580	71	(	(	PUNCT
ejpam-6981	580	72	t),and	t),and	CCONJ
ejpam-6981	580	73	malnourished	malnourished	ADJ
ejpam-6981	580	74	infectious	infectious	ADJ
ejpam-6981	580	75	individuals	individual	NOUN
ejpam-6981	580	76	q(t	q(t	PROPN
ejpam-6981	580	77	)	)	PUNCT
ejpam-6981	580	78	obtained	obtain	VERB
ejpam-6981	580	79	for	for	ADP
ejpam-6981	580	80	various	various	ADJ
ejpam-6981	580	81	values	value	NOUN
ejpam-6981	580	82	of	of	ADP
ejpam-6981	580	83	(	(	PUNCT
ejpam-6981	580	84	η	η	PROPN
ejpam-6981	580	85	=	=	PROPN
ejpam-6981	580	86	1	1	NUM
ejpam-6981	580	87	,	,	PUNCT
ejpam-6981	580	88	0.9	0.9	NUM
ejpam-6981	580	89	,	,	PUNCT
ejpam-6981	580	90	0.8	0.8	NUM
ejpam-6981	580	91	,	,	PUNCT
ejpam-6981	580	92	0.7	0.7	NUM
ejpam-6981	580	93	)	)	PUNCT
ejpam-6981	580	94	utilizing	utilize	VERB
ejpam-6981	580	95	the	the	DET
ejpam-6981	580	96	iterative	iterative	NOUN
ejpam-6981	580	97	laplace	laplace	NOUN
ejpam-6981	580	98	transform	transform	NOUN
ejpam-6981	580	99	method(iltm	method(iltm	PROPN
ejpam-6981	580	100	)	)	PUNCT
ejpam-6981	580	101	applied	apply	VERB
ejpam-6981	580	102	to	to	ADP
ejpam-6981	580	103	a	a	DET
ejpam-6981	580	104	fractional	fractional	ADJ
ejpam-6981	580	105	malaria	malaria	NOUN
ejpam-6981	580	106	and	and	CCONJ
ejpam-6981	580	107	malnutrition	malnutrition	NOUN
ejpam-6981	580	108	model	model	NOUN
ejpam-6981	580	109	.	.	PUNCT
ejpam-6981	581	1	these	these	DET
ejpam-6981	581	2	simulations	simulation	NOUN
ejpam-6981	581	3	demonstrate	demonstrate	VERB
ejpam-6981	581	4	that	that	SCONJ
ejpam-6981	581	5	iltm	iltm	VERB
ejpam-6981	581	6	accurately	accurately	ADV
ejpam-6981	581	7	predicts	predict	VERB
ejpam-6981	581	8	the	the	DET
ejpam-6981	581	9	nature	nature	NOUN
ejpam-6981	581	10	of	of	ADP
ejpam-6981	581	11	these	these	DET
ejpam-6981	581	12	parameters	parameter	NOUN
ejpam-6981	581	13	within	within	ADP
ejpam-6981	581	14	the	the	DET
ejpam-6981	581	15	specified	specified	ADJ
ejpam-6981	581	16	area	area	NOUN
ejpam-6981	581	17	.	.	PUNCT
ejpam-6981	582	1	moreover	moreover	ADV
ejpam-6981	582	2	,	,	PUNCT
ejpam-6981	582	3	the	the	DET
ejpam-6981	582	4	simulations	simulation	NOUN
ejpam-6981	582	5	reveal	reveal	VERB
ejpam-6981	582	6	that	that	SCONJ
ejpam-6981	582	7	variations	variation	NOUN
ejpam-6981	582	8	in	in	ADP
ejpam-6981	582	9	the	the	DET
ejpam-6981	582	10	parameter	parameter	NOUN
ejpam-6981	582	11	values	value	NOUN
ejpam-6981	582	12	significantly	significantly	ADV
ejpam-6981	582	13	impact	impact	VERB
ejpam-6981	582	14	the	the	DET
ejpam-6981	582	15	model	model	NOUN
ejpam-6981	582	16	dynamics	dynamic	NOUN
ejpam-6981	582	17	.	.	PUNCT
ejpam-6981	583	1	specifically	specifically	ADV
ejpam-6981	583	2	,	,	PUNCT
ejpam-6981	583	3	fractional	fractional	ADJ
ejpam-6981	583	4	orders	order	NOUN
ejpam-6981	583	5	exhibit	exhibit	VERB
ejpam-6981	583	6	minimal	minimal	ADJ
ejpam-6981	583	7	influence	influence	NOUN
ejpam-6981	583	8	on	on	ADP
ejpam-6981	583	9	the	the	DET
ejpam-6981	583	10	spread	spread	ADJ
ejpam-6981	583	11	patterns	pattern	NOUN
ejpam-6981	583	12	of	of	ADP
ejpam-6981	583	13	the	the	DET
ejpam-6981	583	14	malaria	malaria	NOUN
ejpam-6981	583	15	and	and	CCONJ
ejpam-6981	583	16	malnutrition	malnutrition	NOUN
ejpam-6981	583	17	model	model	NOUN
ejpam-6981	583	18	.	.	PUNCT
ejpam-6981	584	1	given	give	VERB
ejpam-6981	584	2	that	that	DET
ejpam-6981	584	3	mathematical	mathematical	ADJ
ejpam-6981	584	4	models	model	NOUN
ejpam-6981	584	5	serve	serve	VERB
ejpam-6981	584	6	as	as	ADP
ejpam-6981	584	7	symbolic	symbolic	ADJ
ejpam-6981	584	8	representations	representation	NOUN
ejpam-6981	584	9	of	of	ADP
ejpam-6981	584	10	biological	biological	ADJ
ejpam-6981	584	11	systems	system	NOUN
ejpam-6981	584	12	,	,	PUNCT
ejpam-6981	584	13	they	they	PRON
ejpam-6981	584	14	inherently	inherently	ADV
ejpam-6981	584	15	inherit	inherit	VERB
ejpam-6981	584	16	the	the	DET
ejpam-6981	584	17	loss	loss	NOUN
ejpam-6981	584	18	of	of	ADP
ejpam-6981	584	19	information	information	NOUN
ejpam-6981	584	20	during	during	ADP
ejpam-6981	584	21	construction	construction	NOUN
ejpam-6981	584	22	,	,	PUNCT
ejpam-6981	584	23	potentially	potentially	ADV
ejpam-6981	584	24	leading	lead	VERB
ejpam-6981	584	25	to	to	ADP
ejpam-6981	584	26	imprecise	imprecise	ADJ
ejpam-6981	584	27	predictions	prediction	NOUN
ejpam-6981	584	28	of	of	ADP
ejpam-6981	584	29	model	model	NOUN
ejpam-6981	584	30	outcomes	outcome	NOUN
ejpam-6981	584	31	.	.	PUNCT
ejpam-6981	585	1	therefore	therefore	ADV
ejpam-6981	585	2	,	,	PUNCT
ejpam-6981	585	3	we	we	PRON
ejpam-6981	585	4	opt	opt	VERB
ejpam-6981	585	5	to	to	PART
ejpam-6981	585	6	conduct	conduct	VERB
ejpam-6981	585	7	a	a	DET
ejpam-6981	585	8	graphical	graphical	ADJ
ejpam-6981	585	9	sensitivity	sensitivity	NOUN
ejpam-6981	585	10	analysis	analysis	NOUN
ejpam-6981	585	11	of	of	ADP
ejpam-6981	585	12	model	model	NOUN
ejpam-6981	585	13	parameters	parameter	NOUN
ejpam-6981	585	14	to	to	PART
ejpam-6981	585	15	delve	delve	VERB
ejpam-6981	585	16	into	into	ADP
ejpam-6981	585	17	this	this	DET
ejpam-6981	585	18	issue	issue	NOUN
ejpam-6981	585	19	further	far	ADV
ejpam-6981	585	20	.	.	PUNCT
ejpam-6981	586	1	figure	figure	VERB
ejpam-6981	586	2	1	1	NUM
ejpam-6981	586	3	illustrates	illustrate	VERB
ejpam-6981	586	4	a	a	DET
ejpam-6981	586	5	sharp	sharp	ADJ
ejpam-6981	586	6	increase	increase	NOUN
ejpam-6981	586	7	in	in	ADP
ejpam-6981	586	8	nourished	nourish	VERB
ejpam-6981	586	9	susceptible	susceptible	ADJ
ejpam-6981	586	10	individuals	individual	NOUN
ejpam-6981	586	11	u(t	u(t	NOUN
ejpam-6981	586	12	)	)	PUNCT
ejpam-6981	586	13	within	within	ADP
ejpam-6981	586	14	the	the	DET
ejpam-6981	586	15	initial	initial	ADJ
ejpam-6981	586	16	days	day	NOUN
ejpam-6981	586	17	across	across	ADP
ejpam-6981	586	18	various	various	ADJ
ejpam-6981	586	19	values	value	NOUN
ejpam-6981	586	20	of	of	ADP
ejpam-6981	586	21	the	the	DET
ejpam-6981	586	22	order	order	NOUN
ejpam-6981	586	23	η	η	PROPN
ejpam-6981	586	24	.	.	PROPN
ejpam-6981	586	25	in	in	ADP
ejpam-6981	586	26	figure	figure	NOUN
ejpam-6981	586	27	2	2	NUM
ejpam-6981	586	28	,	,	PUNCT
ejpam-6981	586	29	the	the	DET
ejpam-6981	586	30	graph	graph	NOUN
ejpam-6981	586	31	depicting	depict	VERB
ejpam-6981	586	32	nourished	nourish	VERB
ejpam-6981	586	33	exposed	expose	VERB
ejpam-6981	586	34	individuals	individual	NOUN
ejpam-6981	586	35	e(t	e(t	NOUN
ejpam-6981	586	36	)	)	PUNCT
ejpam-6981	586	37	demonstrates	demonstrate	VERB
ejpam-6981	586	38	a	a	DET
ejpam-6981	586	39	rapid	rapid	ADJ
ejpam-6981	586	40	increase	increase	NOUN
ejpam-6981	586	41	in	in	ADP
ejpam-6981	586	42	the	the	DET
ejpam-6981	586	43	early	early	ADJ
ejpam-6981	586	44	days	day	NOUN
ejpam-6981	586	45	followed	follow	VERB
ejpam-6981	586	46	by	by	ADP
ejpam-6981	586	47	a	a	DET
ejpam-6981	586	48	decrease	decrease	NOUN
ejpam-6981	586	49	.	.	PUNCT
ejpam-6981	587	1	rapid	rapid	ADJ
ejpam-6981	587	2	growth	growth	NOUN
ejpam-6981	587	3	of	of	ADP
ejpam-6981	587	4	nourished	nourish	VERB
ejpam-6981	587	5	infectious	infectious	ADJ
ejpam-6981	587	6	individuals	individual	NOUN
ejpam-6981	587	7	i(t	i(t	NOUN
ejpam-6981	587	8	)	)	PUNCT
ejpam-6981	587	9	is	be	AUX
ejpam-6981	587	10	observed	observe	VERB
ejpam-6981	587	11	in	in	ADP
ejpam-6981	587	12	figure	figure	NOUN
ejpam-6981	587	13	3	3	NUM
ejpam-6981	587	14	,	,	PUNCT
ejpam-6981	587	15	particularly	particularly	ADV
ejpam-6981	587	16	with	with	ADP
ejpam-6981	587	17	non	non	ADJ
ejpam-6981	587	18	-	-	ADJ
ejpam-6981	587	19	integer	integer	ADJ
ejpam-6981	587	20	values	value	NOUN
ejpam-6981	587	21	of	of	ADP
ejpam-6981	587	22	η	η	PROPN
ejpam-6981	587	23	.	.	PUNCT
ejpam-6981	587	24	conversely	conversely	ADV
ejpam-6981	587	25	,	,	PUNCT
ejpam-6981	587	26	figure	figure	VERB
ejpam-6981	587	27	4	4	NUM
ejpam-6981	587	28	shows	show	VERB
ejpam-6981	587	29	a	a	DET
ejpam-6981	587	30	decline	decline	NOUN
ejpam-6981	587	31	in	in	ADP
ejpam-6981	587	32	the	the	DET
ejpam-6981	587	33	population	population	NOUN
ejpam-6981	587	34	of	of	ADP
ejpam-6981	587	35	malnourished	malnourished	ADJ
ejpam-6981	587	36	susceptible	susceptible	ADJ
ejpam-6981	587	37	individuals	individual	NOUN
ejpam-6981	587	38	v	v	ADP
ejpam-6981	587	39	(	(	PUNCT
ejpam-6981	587	40	t	t	PROPN
ejpam-6981	587	41	)	)	PUNCT
ejpam-6981	587	42	after	after	ADP
ejpam-6981	587	43	a	a	DET
ejpam-6981	587	44	few	few	ADJ
ejpam-6981	587	45	days	day	NOUN
ejpam-6981	587	46	.	.	PUNCT
ejpam-6981	588	1	malnourished	malnourished	ADJ
ejpam-6981	588	2	exposed	expose	VERB
ejpam-6981	588	3	individuals	individual	NOUN
ejpam-6981	588	4	f	f	PROPN
ejpam-6981	588	5	(	(	PUNCT
ejpam-6981	588	6	t	t	PROPN
ejpam-6981	588	7	)	)	PUNCT
ejpam-6981	588	8	in	in	ADP
ejpam-6981	588	9	figure	figure	NOUN
ejpam-6981	588	10	5	5	NUM
ejpam-6981	588	11	exhibit	exhibit	VERB
ejpam-6981	588	12	a	a	DET
ejpam-6981	588	13	rapid	rapid	ADJ
ejpam-6981	588	14	increase	increase	NOUN
ejpam-6981	588	15	in	in	ADP
ejpam-6981	588	16	the	the	DET
ejpam-6981	588	17	initial	initial	ADJ
ejpam-6981	588	18	days	day	NOUN
ejpam-6981	588	19	,	,	PUNCT
ejpam-6981	588	20	while	while	SCONJ
ejpam-6981	588	21	malnourished	malnourished	ADJ
ejpam-6981	588	22	infectious	infectious	ADJ
ejpam-6981	588	23	individuals	individual	NOUN
ejpam-6981	588	24	q(t	q(t	PROPN
ejpam-6981	588	25	)	)	PUNCT
ejpam-6981	588	26	in	in	ADP
ejpam-6981	588	27	figure	figure	NOUN
ejpam-6981	588	28	6	6	NUM
ejpam-6981	588	29	experience	experience	NOUN
ejpam-6981	588	30	a	a	DET
ejpam-6981	588	31	slower	slow	ADJ
ejpam-6981	588	32	increase	increase	NOUN
ejpam-6981	588	33	with	with	ADP
ejpam-6981	588	34	varying	vary	VERB
ejpam-6981	588	35	values	value	NOUN
ejpam-6981	588	36	of	of	ADP
ejpam-6981	588	37	η	η	PROPN
ejpam-6981	588	38	.	.	PROPN
ejpam-6981	588	39	notably	notably	ADV
ejpam-6981	588	40	,	,	PUNCT
ejpam-6981	588	41	it	it	PRON
ejpam-6981	588	42	is	be	AUX
ejpam-6981	588	43	observed	observe	VERB
ejpam-6981	588	44	that	that	SCONJ
ejpam-6981	588	45	computational	computational	ADJ
ejpam-6981	588	46	outcomes	outcome	NOUN
ejpam-6981	588	47	consistently	consistently	ADV
ejpam-6981	588	48	rely	rely	VERB
ejpam-6981	588	49	on	on	ADP
ejpam-6981	588	50	the	the	DET
ejpam-6981	588	51	fractional	fractional	ADJ
ejpam-6981	588	52	-	-	PUNCT
ejpam-6981	588	53	time	time	NOUN
ejpam-6981	588	54	derivative	derivative	PROPN
ejpam-6981	588	55	η	η	PROPN
ejpam-6981	588	56	,	,	PUNCT
ejpam-6981	588	57	indicating	indicate	VERB
ejpam-6981	588	58	the	the	DET
ejpam-6981	588	59	significant	significant	ADJ
ejpam-6981	588	60	influence	influence	NOUN
ejpam-6981	588	61	of	of	ADP
ejpam-6981	588	62	specific	specific	ADJ
ejpam-6981	588	63	fractional	fractional	ADJ
ejpam-6981	588	64	operators	operator	NOUN
ejpam-6981	588	65	such	such	ADJ
ejpam-6981	588	66	as	as	ADP
ejpam-6981	588	67	the	the	DET
ejpam-6981	588	68	a.	a.	NOUN
ejpam-6981	588	69	shaikh	shaikh	PROPN
ejpam-6981	588	70	,	,	PUNCT
ejpam-6981	588	71	s.	s.	PROPN
ejpam-6981	588	72	howal	howal	PROPN
ejpam-6981	588	73	,	,	PUNCT
ejpam-6981	588	74	k.	k.	PROPN
ejpam-6981	588	75	s.	s.	PROPN
ejpam-6981	588	76	nisar	nisar	PROPN
ejpam-6981	588	77	/	/	SYM
ejpam-6981	588	78	eur	eur	PROPN
ejpam-6981	588	79	.	.	PUNCT
ejpam-6981	589	1	j.	j.	PROPN
ejpam-6981	589	2	pure	pure	PROPN
ejpam-6981	589	3	appl	appl	PROPN
ejpam-6981	589	4	.	.	PROPN
ejpam-6981	589	5	math	math	PROPN
ejpam-6981	589	6	,	,	PUNCT
ejpam-6981	589	7	18	18	NUM
ejpam-6981	589	8	(	(	PUNCT
ejpam-6981	589	9	4	4	NUM
ejpam-6981	589	10	)	)	PUNCT
ejpam-6981	589	11	(	(	PUNCT
ejpam-6981	589	12	2025	2025	NUM
ejpam-6981	589	13	)	)	PUNCT
ejpam-6981	589	14	,	,	PUNCT
ejpam-6981	589	15	6981	6981	NUM
ejpam-6981	589	16	23	23	NUM
ejpam-6981	589	17	of	of	ADP
ejpam-6981	589	18	25	25	NUM
ejpam-6981	589	19	caputo	caputo	PROPN
ejpam-6981	589	20	–	–	PUNCT
ejpam-6981	589	21	fabrizio	fabrizio	NOUN
ejpam-6981	589	22	operator	operator	NOUN
ejpam-6981	589	23	in	in	ADP
ejpam-6981	589	24	providing	provide	VERB
ejpam-6981	589	25	precise	precise	ADJ
ejpam-6981	589	26	predictions	prediction	NOUN
ejpam-6981	589	27	with	with	ADP
ejpam-6981	589	28	reduced	reduce	VERB
ejpam-6981	589	29	noise	noise	NOUN
ejpam-6981	589	30	.	.	PUNCT
ejpam-6981	590	1	furthermore	furthermore	ADV
ejpam-6981	590	2	,	,	PUNCT
ejpam-6981	590	3	the	the	DET
ejpam-6981	590	4	hybrid	hybrid	ADJ
ejpam-6981	590	5	nature	nature	NOUN
ejpam-6981	590	6	of	of	ADP
ejpam-6981	590	7	the	the	DET
ejpam-6981	590	8	caputo	caputo	PROPN
ejpam-6981	590	9	–	–	PUNCT
ejpam-6981	590	10	fabrizio	fabrizio	NOUN
ejpam-6981	590	11	operator	operator	NOUN
ejpam-6981	590	12	proves	prove	VERB
ejpam-6981	590	13	robust	robust	ADJ
ejpam-6981	590	14	in	in	ADP
ejpam-6981	590	15	capturing	capture	VERB
ejpam-6981	590	16	the	the	DET
ejpam-6981	590	17	complexity	complexity	NOUN
ejpam-6981	590	18	of	of	ADP
ejpam-6981	590	19	the	the	DET
ejpam-6981	590	20	model	model	NOUN
ejpam-6981	590	21	and	and	CCONJ
ejpam-6981	590	22	offering	offer	VERB
ejpam-6981	590	23	meaningful	meaningful	ADJ
ejpam-6981	590	24	predictions	prediction	NOUN
ejpam-6981	590	25	.	.	PUNCT
ejpam-6981	591	1	malaria	malaria	NOUN
ejpam-6981	591	2	exacerbates	exacerbate	VERB
ejpam-6981	591	3	the	the	DET
ejpam-6981	591	4	incidence	incidence	NOUN
ejpam-6981	591	5	of	of	ADP
ejpam-6981	591	6	malnutrition	malnutrition	NOUN
ejpam-6981	591	7	.	.	PUNCT
ejpam-6981	592	1	as	as	SCONJ
ejpam-6981	592	2	anticipated	anticipate	VERB
ejpam-6981	592	3	,	,	PUNCT
ejpam-6981	592	4	implementing	implement	VERB
ejpam-6981	592	5	protective	protective	ADJ
ejpam-6981	592	6	strategies	strategy	NOUN
ejpam-6981	592	7	,	,	PUNCT
ejpam-6981	592	8	including	include	VERB
ejpam-6981	592	9	the	the	DET
ejpam-6981	592	10	application	application	NOUN
ejpam-6981	592	11	of	of	ADP
ejpam-6981	592	12	mosquito	mosquito	ADJ
ejpam-6981	592	13	repellent	repellent	NOUN
ejpam-6981	592	14	(	(	PUNCT
ejpam-6981	592	15	periodic	periodic	ADJ
ejpam-6981	592	16	residual	residual	ADJ
ejpam-6981	592	17	spraying	spraying	NOUN
ejpam-6981	592	18	)	)	PUNCT
ejpam-6981	592	19	and	and	CCONJ
ejpam-6981	592	20	insecticide	insecticide	NOUN
ejpam-6981	592	21	-	-	PUNCT
ejpam-6981	592	22	coated	coat	VERB
ejpam-6981	592	23	bed	bed	NOUN
ejpam-6981	592	24	nets	net	NOUN
ejpam-6981	592	25	to	to	PART
ejpam-6981	592	26	decrease	decrease	VERB
ejpam-6981	592	27	the	the	DET
ejpam-6981	592	28	daily	daily	ADJ
ejpam-6981	592	29	count	count	NOUN
ejpam-6981	592	30	of	of	ADP
ejpam-6981	592	31	bites	bite	NOUN
ejpam-6981	592	32	from	from	ADP
ejpam-6981	592	33	female	female	ADJ
ejpam-6981	592	34	mosquitoes	mosquito	NOUN
ejpam-6981	592	35	will	will	AUX
ejpam-6981	592	36	significantly	significantly	ADV
ejpam-6981	592	37	reduce	reduce	VERB
ejpam-6981	592	38	the	the	DET
ejpam-6981	592	39	number	number	NOUN
ejpam-6981	592	40	of	of	ADP
ejpam-6981	592	41	children	child	NOUN
ejpam-6981	592	42	contracting	contract	VERB
ejpam-6981	592	43	malaria	malaria	NOUN
ejpam-6981	592	44	.	.	PUNCT
ejpam-6981	593	1	additionally	additionally	ADV
ejpam-6981	593	2	,	,	PUNCT
ejpam-6981	593	3	since	since	SCONJ
ejpam-6981	593	4	malaria	malaria	NOUN
ejpam-6981	593	5	-	-	PUNCT
ejpam-6981	593	6	infected	infect	VERB
ejpam-6981	593	7	children	child	NOUN
ejpam-6981	593	8	are	be	AUX
ejpam-6981	593	9	vulnerable	vulnerable	ADJ
ejpam-6981	593	10	to	to	ADP
ejpam-6981	593	11	malnutrition	malnutrition	NOUN
ejpam-6981	593	12	due	due	ADP
ejpam-6981	593	13	to	to	ADP
ejpam-6981	593	14	factors	factor	NOUN
ejpam-6981	593	15	like	like	ADP
ejpam-6981	593	16	imbalanced	imbalanced	ADJ
ejpam-6981	593	17	eating	eating	NOUN
ejpam-6981	593	18	habits	habit	NOUN
ejpam-6981	593	19	or	or	CCONJ
ejpam-6981	593	20	reduced	reduced	ADJ
ejpam-6981	593	21	appetite	appetite	NOUN
ejpam-6981	593	22	,	,	PUNCT
ejpam-6981	593	23	improving	improve	VERB
ejpam-6981	593	24	children	child	NOUN
ejpam-6981	593	25	’s	’s	PART
ejpam-6981	593	26	diets	diet	NOUN
ejpam-6981	593	27	could	could	AUX
ejpam-6981	593	28	be	be	AUX
ejpam-6981	593	29	beneficial	beneficial	ADJ
ejpam-6981	593	30	to	to	PART
ejpam-6981	593	31	alleviate	alleviate	VERB
ejpam-6981	593	32	the	the	DET
ejpam-6981	593	33	transmission	transmission	NOUN
ejpam-6981	593	34	of	of	ADP
ejpam-6981	593	35	critical	critical	ADJ
ejpam-6981	593	36	malaria	malaria	NOUN
ejpam-6981	593	37	episodes	episode	NOUN
ejpam-6981	593	38	.	.	PUNCT
ejpam-6981	594	1	8	8	X
ejpam-6981	594	2	.	.	PUNCT
ejpam-6981	594	3	conclusions	conclusion	NOUN
ejpam-6981	594	4	in	in	ADP
ejpam-6981	594	5	this	this	DET
ejpam-6981	594	6	study	study	NOUN
ejpam-6981	594	7	,	,	PUNCT
ejpam-6981	594	8	we	we	PRON
ejpam-6981	594	9	investigated	investigate	VERB
ejpam-6981	594	10	the	the	DET
ejpam-6981	594	11	caputo	caputo	PROPN
ejpam-6981	594	12	-	-	PUNCT
ejpam-6981	594	13	fabrizio	fabrizio	PROPN
ejpam-6981	594	14	fractional	fractional	ADJ
ejpam-6981	594	15	-	-	PUNCT
ejpam-6981	594	16	order	order	NOUN
ejpam-6981	594	17	system	system	NOUN
ejpam-6981	594	18	of	of	ADP
ejpam-6981	594	19	malaria	malaria	NOUN
ejpam-6981	594	20	and	and	CCONJ
ejpam-6981	594	21	malnutrition	malnutrition	NOUN
ejpam-6981	594	22	,	,	PUNCT
ejpam-6981	594	23	examining	examine	VERB
ejpam-6981	594	24	the	the	DET
ejpam-6981	594	25	spread	spread	ADJ
ejpam-6981	594	26	patterns	pattern	NOUN
ejpam-6981	594	27	through	through	ADP
ejpam-6981	594	28	both	both	CCONJ
ejpam-6981	594	29	direct	direct	ADJ
ejpam-6981	594	30	and	and	CCONJ
ejpam-6981	594	31	indirect	indirect	ADJ
ejpam-6981	594	32	transmission	transmission	NOUN
ejpam-6981	594	33	pathways	pathway	NOUN
ejpam-6981	594	34	of	of	ADP
ejpam-6981	594	35	the	the	DET
ejpam-6981	594	36	disease	disease	NOUN
ejpam-6981	594	37	through	through	ADP
ejpam-6981	594	38	the	the	DET
ejpam-6981	594	39	iterative	iterative	NOUN
ejpam-6981	594	40	laplace	laplace	NOUN
ejpam-6981	594	41	transform	transform	NOUN
ejpam-6981	594	42	method	method	NOUN
ejpam-6981	594	43	.	.	PUNCT
ejpam-6981	595	1	additionally	additionally	ADV
ejpam-6981	595	2	,	,	PUNCT
ejpam-6981	595	3	by	by	ADP
ejpam-6981	595	4	employing	employ	VERB
ejpam-6981	595	5	the	the	DET
ejpam-6981	595	6	banach	banach	NOUN
ejpam-6981	595	7	theorem	theorem	VERB
ejpam-6981	595	8	,	,	PUNCT
ejpam-6981	595	9	we	we	PRON
ejpam-6981	595	10	established	establish	VERB
ejpam-6981	595	11	results	result	NOUN
ejpam-6981	595	12	concerning	concern	VERB
ejpam-6981	595	13	the	the	DET
ejpam-6981	595	14	presence	presence	NOUN
ejpam-6981	595	15	,	,	PUNCT
ejpam-6981	595	16	uniqueness	uniqueness	NOUN
ejpam-6981	595	17	,	,	PUNCT
ejpam-6981	595	18	and	and	CCONJ
ejpam-6981	595	19	stability	stability	NOUN
ejpam-6981	595	20	of	of	ADP
ejpam-6981	595	21	equilibrium	equilibrium	NOUN
ejpam-6981	595	22	solutions	solution	NOUN
ejpam-6981	595	23	.	.	PUNCT
ejpam-6981	596	1	the	the	DET
ejpam-6981	596	2	sequence	sequence	NOUN
ejpam-6981	596	3	solutions	solution	NOUN
ejpam-6981	596	4	derived	derive	VERB
ejpam-6981	596	5	from	from	ADP
ejpam-6981	596	6	this	this	DET
ejpam-6981	596	7	robust	robust	ADJ
ejpam-6981	596	8	approach	approach	NOUN
ejpam-6981	596	9	demonstrate	demonstrate	VERB
ejpam-6981	596	10	a	a	DET
ejpam-6981	596	11	promising	promising	ADJ
ejpam-6981	596	12	ability	ability	NOUN
ejpam-6981	596	13	to	to	PART
ejpam-6981	596	14	mitigate	mitigate	VERB
ejpam-6981	596	15	the	the	DET
ejpam-6981	596	16	devastating	devastating	ADJ
ejpam-6981	596	17	impact	impact	NOUN
ejpam-6981	596	18	of	of	ADP
ejpam-6981	596	19	malaria	malaria	NOUN
ejpam-6981	596	20	and	and	CCONJ
ejpam-6981	596	21	malnutrition	malnutrition	NOUN
ejpam-6981	596	22	over	over	ADP
ejpam-6981	596	23	different	different	ADJ
ejpam-6981	596	24	time	time	NOUN
ejpam-6981	596	25	intervals	interval	NOUN
ejpam-6981	596	26	and	and	CCONJ
ejpam-6981	596	27	to	to	PART
ejpam-6981	596	28	combat	combat	VERB
ejpam-6981	596	29	a	a	DET
ejpam-6981	596	30	significant	significant	ADJ
ejpam-6981	596	31	mortality	mortality	NOUN
ejpam-6981	596	32	factor	factor	NOUN
ejpam-6981	596	33	.	.	PUNCT
ejpam-6981	597	1	it	it	PRON
ejpam-6981	597	2	is	be	AUX
ejpam-6981	597	3	evident	evident	ADJ
ejpam-6981	597	4	that	that	SCONJ
ejpam-6981	597	5	the	the	DET
ejpam-6981	597	6	efficacy	efficacy	NOUN
ejpam-6981	597	7	of	of	ADP
ejpam-6981	597	8	this	this	DET
ejpam-6981	597	9	method	method	NOUN
ejpam-6981	597	10	can	can	AUX
ejpam-6981	597	11	be	be	AUX
ejpam-6981	597	12	significantly	significantly	ADV
ejpam-6981	597	13	improved	improve	VERB
ejpam-6981	597	14	by	by	ADP
ejpam-6981	597	15	streamlining	streamline	VERB
ejpam-6981	597	16	processes	process	NOUN
ejpam-6981	597	17	and	and	CCONJ
ejpam-6981	597	18	incorporating	incorporate	VERB
ejpam-6981	597	19	additional	additional	ADJ
ejpam-6981	597	20	components	component	NOUN
ejpam-6981	597	21	.	.	PUNCT
ejpam-6981	598	1	we	we	PRON
ejpam-6981	598	2	utilized	utilize	VERB
ejpam-6981	598	3	a	a	DET
ejpam-6981	598	4	randomized	randomized	ADJ
ejpam-6981	598	5	set	set	NOUN
ejpam-6981	598	6	of	of	ADP
ejpam-6981	598	7	parameters	parameter	NOUN
ejpam-6981	598	8	in	in	ADP
ejpam-6981	598	9	the	the	DET
ejpam-6981	598	10	behavior	behavior	NOUN
ejpam-6981	598	11	of	of	ADP
ejpam-6981	598	12	the	the	DET
ejpam-6981	598	13	previously	previously	ADV
ejpam-6981	598	14	mentioned	mention	VERB
ejpam-6981	598	15	epidemic	epidemic	NOUN
ejpam-6981	598	16	model	model	NOUN
ejpam-6981	598	17	.	.	PUNCT
ejpam-6981	599	1	malaria	malaria	NOUN
ejpam-6981	599	2	and	and	CCONJ
ejpam-6981	599	3	malnutrition	malnutrition	NOUN
ejpam-6981	599	4	stand	stand	VERB
ejpam-6981	599	5	out	out	ADP
ejpam-6981	599	6	as	as	ADP
ejpam-6981	599	7	the	the	DET
ejpam-6981	599	8	primary	primary	ADJ
ejpam-6981	599	9	contributors	contributor	NOUN
ejpam-6981	599	10	to	to	ADP
ejpam-6981	599	11	childhood	childhood	NOUN
ejpam-6981	599	12	mortality	mortality	NOUN
ejpam-6981	599	13	,	,	PUNCT
ejpam-6981	599	14	particularly	particularly	ADV
ejpam-6981	599	15	as	as	SCONJ
ejpam-6981	599	16	repeated	repeat	VERB
ejpam-6981	599	17	malaria	malaria	NOUN
ejpam-6981	599	18	exposure	exposure	NOUN
ejpam-6981	599	19	notably	notably	ADV
ejpam-6981	599	20	affects	affect	VERB
ejpam-6981	599	21	the	the	DET
ejpam-6981	599	22	nutritional	nutritional	ADJ
ejpam-6981	599	23	well	well	NOUN
ejpam-6981	599	24	-	-	PUNCT
ejpam-6981	599	25	being	being	NOUN
ejpam-6981	599	26	of	of	ADP
ejpam-6981	599	27	children	child	NOUN
ejpam-6981	599	28	.	.	PUNCT
ejpam-6981	600	1	the	the	DET
ejpam-6981	600	2	current	current	ADJ
ejpam-6981	600	3	analysis	analysis	NOUN
ejpam-6981	600	4	,	,	PUNCT
ejpam-6981	600	5	while	while	SCONJ
ejpam-6981	600	6	informative	informative	ADJ
ejpam-6981	600	7	,	,	PUNCT
ejpam-6981	600	8	is	be	AUX
ejpam-6981	600	9	not	not	PART
ejpam-6981	600	10	comprehensive	comprehensive	ADJ
ejpam-6981	600	11	and	and	CCONJ
ejpam-6981	600	12	offers	offer	VERB
ejpam-6981	600	13	potential	potential	ADJ
ejpam-6981	600	14	avenues	avenue	NOUN
ejpam-6981	600	15	for	for	ADP
ejpam-6981	600	16	extension	extension	NOUN
ejpam-6981	600	17	.	.	PUNCT
ejpam-6981	601	1	while	while	SCONJ
ejpam-6981	601	2	malaria	malaria	NOUN
ejpam-6981	601	3	predominantly	predominantly	ADV
ejpam-6981	601	4	impacts	impact	VERB
ejpam-6981	601	5	children	child	NOUN
ejpam-6981	601	6	under	under	ADP
ejpam-6981	601	7	five	five	NUM
ejpam-6981	601	8	years	year	NOUN
ejpam-6981	601	9	old	old	ADJ
ejpam-6981	601	10	,	,	PUNCT
ejpam-6981	601	11	malnutrition	malnutrition	NOUN
ejpam-6981	601	12	impacts	impact	VERB
ejpam-6981	601	13	the	the	DET
ejpam-6981	601	14	whole	whole	ADJ
ejpam-6981	601	15	family	family	NOUN
ejpam-6981	601	16	.	.	PUNCT
ejpam-6981	602	1	looking	look	VERB
ejpam-6981	602	2	ahead	ahead	ADV
ejpam-6981	602	3	,	,	PUNCT
ejpam-6981	602	4	research	research	NOUN
ejpam-6981	602	5	endeavors	endeavor	NOUN
ejpam-6981	602	6	might	might	AUX
ejpam-6981	602	7	explore	explore	VERB
ejpam-6981	602	8	expanded	expand	VERB
ejpam-6981	602	9	,	,	PUNCT
ejpam-6981	602	10	intricate	intricate	ADJ
ejpam-6981	602	11	models	model	NOUN
ejpam-6981	602	12	that	that	PRON
ejpam-6981	602	13	incorporate	incorporate	VERB
ejpam-6981	602	14	the	the	DET
ejpam-6981	602	15	dynamics	dynamic	NOUN
ejpam-6981	602	16	of	of	ADP
ejpam-6981	602	17	individuals	individual	NOUN
ejpam-6981	602	18	aged	age	VERB
ejpam-6981	602	19	five	five	NUM
ejpam-6981	602	20	and	and	CCONJ
ejpam-6981	602	21	above	above	ADV
ejpam-6981	602	22	.	.	PUNCT
ejpam-6981	603	1	malaria	malaria	NOUN
ejpam-6981	603	2	control	control	PROPN
ejpam-6981	603	3	,	,	PUNCT
ejpam-6981	603	4	noting	note	VERB
ejpam-6981	603	5	that	that	SCONJ
ejpam-6981	603	6	innovative	innovative	ADJ
ejpam-6981	603	7	tools	tool	NOUN
ejpam-6981	603	8	and	and	CCONJ
ejpam-6981	603	9	climate	climate	NOUN
ejpam-6981	603	10	adaptation	adaptation	NOUN
ejpam-6981	603	11	strategies	strategy	NOUN
ejpam-6981	603	12	should	should	AUX
ejpam-6981	603	13	be	be	AUX
ejpam-6981	603	14	integrated	integrate	VERB
ejpam-6981	603	15	into	into	ADP
ejpam-6981	603	16	national	national	ADJ
ejpam-6981	603	17	programs	program	NOUN
ejpam-6981	603	18	with	with	ADP
ejpam-6981	603	19	adequate	adequate	ADJ
ejpam-6981	603	20	funding	funding	NOUN
ejpam-6981	603	21	,	,	PUNCT
ejpam-6981	603	22	community	community	NOUN
ejpam-6981	603	23	engagement	engagement	NOUN
ejpam-6981	603	24	,	,	PUNCT
ejpam-6981	603	25	and	and	CCONJ
ejpam-6981	603	26	equitable	equitable	ADJ
ejpam-6981	603	27	implementation	implementation	NOUN
ejpam-6981	603	28	,	,	PUNCT
ejpam-6981	603	29	alongside	alongside	ADP
ejpam-6981	603	30	interventions	intervention	NOUN
ejpam-6981	603	31	such	such	ADJ
ejpam-6981	603	32	as	as	ADP
ejpam-6981	603	33	nutrition	nutrition	NOUN
ejpam-6981	603	34	programs	program	NOUN
ejpam-6981	603	35	and	and	CCONJ
ejpam-6981	603	36	insecticide	insecticide	NOUN
ejpam-6981	603	37	-	-	PUNCT
ejpam-6981	603	38	treated	treat	VERB
ejpam-6981	603	39	nets	net	NOUN
ejpam-6981	603	40	.	.	PUNCT
ejpam-6981	604	1	acknowledgements	acknowledgement	NOUN
ejpam-6981	604	2	“	"	PUNCT
ejpam-6981	604	3	the	the	DET
ejpam-6981	604	4	authors	author	NOUN
ejpam-6981	604	5	extend	extend	VERB
ejpam-6981	604	6	their	their	PRON
ejpam-6981	604	7	appreciation	appreciation	NOUN
ejpam-6981	604	8	to	to	ADP
ejpam-6981	604	9	prince	prince	PROPN
ejpam-6981	604	10	sattam	sattam	PROPN
ejpam-6981	604	11	bin	bin	PROPN
ejpam-6981	604	12	abdulaziz	abdulaziz	PROPN
ejpam-6981	604	13	university	university	PROPN
ejpam-6981	604	14	for	for	ADP
ejpam-6981	604	15	funding	fund	VERB
ejpam-6981	604	16	this	this	DET
ejpam-6981	604	17	research	research	NOUN
ejpam-6981	604	18	work	work	NOUN
ejpam-6981	604	19	through	through	ADP
ejpam-6981	604	20	the	the	DET
ejpam-6981	604	21	project	project	NOUN
ejpam-6981	604	22	number	number	NOUN
ejpam-6981	604	23	(	(	PUNCT
ejpam-6981	604	24	psau/2025/01/5180	psau/2025/01/5180	NOUN
ejpam-6981	604	25	)	)	PUNCT
ejpam-6981	604	26	”	"	PUNCT
ejpam-6981	604	27	authors	author	NOUN
ejpam-6981	604	28	’	'	PUNCT
ejpam-6981	604	29	contributions	contribution	NOUN
ejpam-6981	604	30	:	:	PUNCT
ejpam-6981	604	31	conceptualization	conceptualization	NOUN
ejpam-6981	604	32	:	:	PUNCT
ejpam-6981	604	33	as	as	ADP
ejpam-6981	604	34	,	,	PUNCT
ejpam-6981	604	35	sh	sh	INTJ
ejpam-6981	604	36	;	;	PUNCT
ejpam-6981	604	37	formal	formal	ADJ
ejpam-6981	604	38	analysis	analysis	NOUN
ejpam-6981	604	39	:	:	PUNCT
ejpam-6981	604	40	ksn	ksn	NOUN
ejpam-6981	604	41	;	;	PUNCT
ejpam-6981	604	42	investigation	investigation	NOUN
ejpam-6981	604	43	:	:	PUNCT
ejpam-6981	604	44	as	as	ADP
ejpam-6981	604	45	,	,	PUNCT
ejpam-6981	604	46	sh	sh	PROPN
ejpam-6981	604	47	,	,	PUNCT
ejpam-6981	604	48	ksn	ksn	PROPN
ejpam-6981	604	49	;	;	PUNCT
ejpam-6981	604	50	methodology	methodology	NOUN
ejpam-6981	604	51	:	:	PUNCT
ejpam-6981	604	52	as	as	ADP
ejpam-6981	604	53	;	;	PUNCT
ejpam-6981	604	54	software	software	NOUN
ejpam-6981	604	55	:	:	PUNCT
ejpam-6981	604	56	sh	sh	PROPN
ejpam-6981	604	57	,	,	PUNCT
ejpam-6981	604	58	ksn	ksn	PROPN
ejpam-6981	604	59	;	;	PUNCT
ejpam-6981	604	60	validation	validation	NOUN
ejpam-6981	604	61	:	:	PUNCT
ejpam-6981	604	62	ksn	ksn	NOUN
ejpam-6981	604	63	;	;	PUNCT
ejpam-6981	604	64	writing	write	VERB
ejpam-6981	604	65	original	original	ADJ
ejpam-6981	604	66	draft	draft	NOUN
ejpam-6981	604	67	:	:	PUNCT
ejpam-6981	604	68	mas	mas	PROPN
ejpam-6981	604	69	,	,	PUNCT
ejpam-6981	604	70	sh	sh	PROPN
ejpam-6981	604	71	,	,	PUNCT
ejpam-6981	604	72	ksn	ksn	NOUN
ejpam-6981	604	73	references	reference	NOUN
ejpam-6981	604	74	[	[	X
ejpam-6981	604	75	1	1	X
ejpam-6981	604	76	]	]	PUNCT
ejpam-6981	604	77	j.	j.	PROPN
ejpam-6981	604	78	f.	f.	PROPN
ejpam-6981	604	79	friedman	friedman	PROPN
ejpam-6981	604	80	,	,	PUNCT
ejpam-6981	604	81	m.	m.	NOUN
ejpam-6981	604	82	kurtis	kurtis	PROPN
ejpam-6981	604	83	,	,	PUNCT
ejpam-6981	604	84	j.	j.	PROPN
ejpam-6981	604	85	d.	d.	PROPN
ejpam-6981	604	86	ramadhan	ramadhan	PROPN
ejpam-6981	604	87	,	,	PUNCT
ejpam-6981	604	88	m.	m.	NOUN
ejpam-6981	604	89	opollo	opollo	PROPN
ejpam-6981	604	90	,	,	PUNCT
ejpam-6981	604	91	d.	d.	PROPN
ejpam-6981	604	92	e.	e.	PROPN
ejpam-6981	604	93	lanar	lanar	PROPN
ejpam-6981	604	94	,	,	PUNCT
ejpam-6981	604	95	and	and	CCONJ
ejpam-6981	604	96	p.	p.	PROPN
ejpam-6981	604	97	e.	e.	PROPN
ejpam-6981	604	98	duffy	duffy	PROPN
ejpam-6981	604	99	.	.	PUNCT
ejpam-6981	605	1	malaria	malaria	NOUN
ejpam-6981	605	2	is	be	AUX
ejpam-6981	605	3	related	relate	VERB
ejpam-6981	605	4	to	to	PART
ejpam-6981	605	5	decreased	decrease	VERB
ejpam-6981	605	6	nutritional	nutritional	ADJ
ejpam-6981	605	7	status	status	NOUN
ejpam-6981	605	8	among	among	ADP
ejpam-6981	605	9	male	male	ADJ
ejpam-6981	605	10	adolescents	adolescent	NOUN
ejpam-6981	605	11	and	and	CCONJ
ejpam-6981	605	12	adults	adult	NOUN
ejpam-6981	605	13	a.	a.	NOUN
ejpam-6981	605	14	shaikh	shaikh	PROPN
ejpam-6981	605	15	,	,	PUNCT
ejpam-6981	605	16	s.	s.	PROPN
ejpam-6981	605	17	howal	howal	PROPN
ejpam-6981	605	18	,	,	PUNCT
ejpam-6981	605	19	k.	k.	PROPN
ejpam-6981	605	20	s.	s.	PROPN
ejpam-6981	605	21	nisar	nisar	PROPN
ejpam-6981	605	22	/	/	SYM
ejpam-6981	605	23	eur	eur	PROPN
ejpam-6981	605	24	.	.	PUNCT
ejpam-6981	606	1	j.	j.	PROPN
ejpam-6981	606	2	pure	pure	PROPN
ejpam-6981	606	3	appl	appl	PROPN
ejpam-6981	606	4	.	.	PROPN
ejpam-6981	606	5	math	math	PROPN
ejpam-6981	606	6	,	,	PUNCT
ejpam-6981	606	7	18	18	NUM
ejpam-6981	606	8	(	(	PUNCT
ejpam-6981	606	9	4	4	NUM
ejpam-6981	606	10	)	)	PUNCT
ejpam-6981	606	11	(	(	PUNCT
ejpam-6981	606	12	2025	2025	NUM
ejpam-6981	606	13	)	)	PUNCT
ejpam-6981	606	14	,	,	PUNCT
ejpam-6981	606	15	6981	6981	NUM
ejpam-6981	606	16	24	24	NUM
ejpam-6981	606	17	of	of	ADP
ejpam-6981	606	18	25	25	NUM
ejpam-6981	606	19	in	in	ADP
ejpam-6981	606	20	the	the	DET
ejpam-6981	606	21	setting	setting	NOUN
ejpam-6981	606	22	of	of	ADP
ejpam-6981	606	23	intense	intense	ADJ
ejpam-6981	606	24	perennial	perennial	ADJ
ejpam-6981	606	25	transmission	transmission	NOUN
ejpam-6981	606	26	.	.	PUNCT
ejpam-6981	607	1	the	the	DET
ejpam-6981	607	2	journal	journal	NOUN
ejpam-6981	607	3	of	of	ADP
ejpam-6981	607	4	infectious	infectious	ADJ
ejpam-6981	607	5	diseases	disease	NOUN
ejpam-6981	607	6	,	,	PUNCT
ejpam-6981	607	7	188(3):449–457	188(3):449–457	NUM
ejpam-6981	607	8	,	,	PUNCT
ejpam-6981	607	9	2003	2003	NUM
ejpam-6981	607	10	.	.	PUNCT
ejpam-6981	608	1	[	[	X
ejpam-6981	608	2	2	2	NUM
ejpam-6981	608	3	]	]	PUNCT
ejpam-6981	608	4	c.	c.	PROPN
ejpam-6981	608	5	shiff	shiff	PROPN
ejpam-6981	608	6	,	,	PUNCT
ejpam-6981	608	7	w.	w.	PROPN
ejpam-6981	608	8	checkley	checkley	PROPN
ejpam-6981	608	9	,	,	PUNCT
ejpam-6981	608	10	p.	p.	PROPN
ejpam-6981	608	11	winch	winch	NOUN
ejpam-6981	608	12	,	,	PUNCT
ejpam-6981	608	13	z.	z.	PROPN
ejpam-6981	608	14	premji	premji	PROPN
ejpam-6981	608	15	,	,	PUNCT
ejpam-6981	608	16	j.	j.	PROPN
ejpam-6981	608	17	minjas	minjas	PROPN
ejpam-6981	608	18	,	,	PUNCT
ejpam-6981	608	19	and	and	CCONJ
ejpam-6981	608	20	p.	p.	PROPN
ejpam-6981	608	21	lubega	lubega	PROPN
ejpam-6981	608	22	.	.	PUNCT
ejpam-6981	609	1	changes	change	NOUN
ejpam-6981	609	2	in	in	ADP
ejpam-6981	609	3	weight	weight	NOUN
ejpam-6981	609	4	gain	gain	NOUN
ejpam-6981	609	5	and	and	CCONJ
ejpam-6981	609	6	anaemia	anaemia	NOUN
ejpam-6981	609	7	attributable	attributable	ADJ
ejpam-6981	609	8	to	to	ADP
ejpam-6981	609	9	malaria	malaria	NOUN
ejpam-6981	609	10	in	in	ADP
ejpam-6981	609	11	tanzanian	tanzanian	ADJ
ejpam-6981	609	12	children	child	NOUN
ejpam-6981	609	13	living	live	VERB
ejpam-6981	609	14	under	under	ADP
ejpam-6981	609	15	holoendemic	holoendemic	ADJ
ejpam-6981	609	16	conditions	condition	NOUN
ejpam-6981	609	17	.	.	PUNCT
ejpam-6981	610	1	transactions	transaction	NOUN
ejpam-6981	610	2	of	of	ADP
ejpam-6981	610	3	the	the	DET
ejpam-6981	610	4	royal	royal	ADJ
ejpam-6981	610	5	society	society	NOUN
ejpam-6981	610	6	of	of	ADP
ejpam-6981	610	7	tropical	tropical	ADJ
ejpam-6981	610	8	medicine	medicine	NOUN
ejpam-6981	610	9	and	and	CCONJ
ejpam-6981	610	10	hygiene	hygiene	NOUN
ejpam-6981	610	11	,	,	PUNCT
ejpam-6981	610	12	90(3):262–265	90(3):262–265	NOUN
ejpam-6981	610	13	,	,	PUNCT
ejpam-6981	610	14	1996	1996	NUM
ejpam-6981	610	15	.	.	PUNCT
ejpam-6981	611	1	[	[	X
ejpam-6981	611	2	3	3	X
ejpam-6981	611	3	]	]	X
ejpam-6981	611	4	f.	f.	PROPN
ejpam-6981	611	5	o.	o.	PROPN
ejpam-6981	611	6	ter	ter	PROPN
ejpam-6981	611	7	kuile	kuile	PROPN
ejpam-6981	611	8	,	,	PUNCT
ejpam-6981	611	9	d.	d.	PROPN
ejpam-6981	611	10	j.	j.	PROPN
ejpam-6981	611	11	terlouw	terlouw	PROPN
ejpam-6981	611	12	,	,	PUNCT
ejpam-6981	611	13	s.	s.	PROPN
ejpam-6981	611	14	k.	k.	PROPN
ejpam-6981	611	15	kariuki	kariuki	PROPN
ejpam-6981	611	16	,	,	PUNCT
ejpam-6981	611	17	p.	p.	NOUN
ejpam-6981	611	18	a.	a.	NOUN
ejpam-6981	611	19	phillips	phillips	PROPN
ejpam-6981	611	20	-	-	PUNCT
ejpam-6981	611	21	howard	howard	PROPN
ejpam-6981	611	22	,	,	PUNCT
ejpam-6981	611	23	l.	l.	PROPN
ejpam-6981	611	24	b.	b.	PROPN
ejpam-6981	611	25	mirel	mirel	PROPN
ejpam-6981	611	26	,	,	PUNCT
ejpam-6981	611	27	w.	w.	PROPN
ejpam-6981	611	28	a.	a.	PROPN
ejpam-6981	611	29	hawley	hawley	PROPN
ejpam-6981	611	30	,	,	PUNCT
ejpam-6981	611	31	and	and	CCONJ
ejpam-6981	611	32	b.	b.	PROPN
ejpam-6981	611	33	l.	l.	PROPN
ejpam-6981	611	34	nahlen	nahlen	PROPN
ejpam-6981	611	35	.	.	PUNCT
ejpam-6981	612	1	impact	impact	NOUN
ejpam-6981	612	2	of	of	ADP
ejpam-6981	612	3	permethrin	permethrin	NOUN
ejpam-6981	612	4	-	-	PUNCT
ejpam-6981	612	5	treated	treat	VERB
ejpam-6981	612	6	bed	bed	NOUN
ejpam-6981	612	7	nets	net	NOUN
ejpam-6981	612	8	on	on	ADP
ejpam-6981	612	9	malaria	malaria	NOUN
ejpam-6981	612	10	,	,	PUNCT
ejpam-6981	612	11	anemia	anemia	NOUN
ejpam-6981	612	12	and	and	CCONJ
ejpam-6981	612	13	growth	growth	NOUN
ejpam-6981	612	14	in	in	ADP
ejpam-6981	612	15	infants	infant	NOUN
ejpam-6981	612	16	in	in	ADP
ejpam-6981	612	17	an	an	DET
ejpam-6981	612	18	area	area	NOUN
ejpam-6981	612	19	of	of	ADP
ejpam-6981	612	20	intense	intense	ADJ
ejpam-6981	612	21	perennial	perennial	ADJ
ejpam-6981	612	22	malaria	malaria	NOUN
ejpam-6981	612	23	transmission	transmission	NOUN
ejpam-6981	612	24	in	in	ADP
ejpam-6981	612	25	western	western	ADJ
ejpam-6981	612	26	kenya	kenya	PROPN
ejpam-6981	612	27	.	.	PUNCT
ejpam-6981	613	1	the	the	DET
ejpam-6981	613	2	american	american	PROPN
ejpam-6981	613	3	journal	journal	PROPN
ejpam-6981	613	4	of	of	ADP
ejpam-6981	613	5	tropical	tropical	ADJ
ejpam-6981	613	6	medicine	medicine	NOUN
ejpam-6981	613	7	and	and	CCONJ
ejpam-6981	613	8	hygiene	hygiene	NOUN
ejpam-6981	613	9	,	,	PUNCT
ejpam-6981	613	10	68:68–77	68:68–77	NUM
ejpam-6981	613	11	,	,	PUNCT
ejpam-6981	613	12	2003	2003	NUM
ejpam-6981	613	13	.	.	PUNCT
ejpam-6981	614	1	[	[	X
ejpam-6981	614	2	4	4	X
ejpam-6981	614	3	]	]	PUNCT
ejpam-6981	614	4	l.	l.	PROPN
ejpam-6981	614	5	q.	q.	PROPN
ejpam-6981	614	6	hung	hung	PROPN
ejpam-6981	614	7	,	,	PUNCT
ejpam-6981	614	8	p.	p.	PROPN
ejpam-6981	614	9	j.	j.	PROPN
ejpam-6981	614	10	de	de	PROPN
ejpam-6981	614	11	vries	vries	PROPN
ejpam-6981	614	12	,	,	PUNCT
ejpam-6981	614	13	p.	p.	NOUN
ejpam-6981	614	14	t.	t.	PROPN
ejpam-6981	614	15	giao	giao	PROPN
ejpam-6981	614	16	,	,	PUNCT
ejpam-6981	614	17	t.	t.	PROPN
ejpam-6981	614	18	q.	q.	PROPN
ejpam-6981	614	19	binh	binh	PROPN
ejpam-6981	614	20	,	,	PUNCT
ejpam-6981	614	21	n.	n.	PROPN
ejpam-6981	614	22	v.	v.	PROPN
ejpam-6981	614	23	nam	nam	PROPN
ejpam-6981	614	24	,	,	PUNCT
ejpam-6981	614	25	m.	m.	NOUN
ejpam-6981	614	26	t.	t.	PROPN
ejpam-6981	614	27	chong	chong	PROPN
ejpam-6981	614	28	,	,	PUNCT
ejpam-6981	614	29	and	and	CCONJ
ejpam-6981	614	30	p.	p.	NOUN
ejpam-6981	614	31	a.	a.	NOUN
ejpam-6981	614	32	kager	kager	PROPN
ejpam-6981	614	33	.	.	PUNCT
ejpam-6981	615	1	nutritional	nutritional	ADJ
ejpam-6981	615	2	status	status	NOUN
ejpam-6981	615	3	following	follow	VERB
ejpam-6981	615	4	malaria	malaria	NOUN
ejpam-6981	615	5	control	control	NOUN
ejpam-6981	615	6	in	in	ADP
ejpam-6981	615	7	a	a	DET
ejpam-6981	615	8	vietnamese	vietnamese	ADJ
ejpam-6981	615	9	ethnic	ethnic	ADJ
ejpam-6981	615	10	minority	minority	NOUN
ejpam-6981	615	11	commune	commune	NOUN
ejpam-6981	615	12	.	.	PUNCT
ejpam-6981	616	1	european	european	ADJ
ejpam-6981	616	2	journal	journal	PROPN
ejpam-6981	616	3	of	of	ADP
ejpam-6981	616	4	clinical	clinical	ADJ
ejpam-6981	616	5	nutrition	nutrition	NOUN
ejpam-6981	616	6	,	,	PUNCT
ejpam-6981	616	7	59:891–899	59:891–899	PROPN
ejpam-6981	616	8	,	,	PUNCT
ejpam-6981	616	9	2005	2005	NUM
ejpam-6981	616	10	.	.	PUNCT
ejpam-6981	617	1	[	[	X
ejpam-6981	617	2	5	5	X
ejpam-6981	617	3	]	]	PUNCT
ejpam-6981	617	4	t.	t.	PROPN
ejpam-6981	617	5	gone	gone	PROPN
ejpam-6981	617	6	,	,	PUNCT
ejpam-6981	617	7	f.	f.	PROPN
ejpam-6981	617	8	lemango	lemango	PROPN
ejpam-6981	617	9	,	,	PUNCT
ejpam-6981	617	10	e.	e.	PROPN
ejpam-6981	617	11	eliso	eliso	PROPN
ejpam-6981	617	12	,	,	PUNCT
ejpam-6981	617	13	s.	s.	PROPN
ejpam-6981	617	14	yohannes	yohannes	PROPN
ejpam-6981	617	15	,	,	PUNCT
ejpam-6981	617	16	and	and	CCONJ
ejpam-6981	617	17	t.	t.	NOUN
ejpam-6981	617	18	yohannes	yohanne	NOUN
ejpam-6981	617	19	.	.	PUNCT
ejpam-6981	618	1	the	the	DET
ejpam-6981	618	2	association	association	NOUN
ejpam-6981	618	3	between	between	ADP
ejpam-6981	618	4	malaria	malaria	NOUN
ejpam-6981	618	5	and	and	CCONJ
ejpam-6981	618	6	malnutrition	malnutrition	NOUN
ejpam-6981	618	7	among	among	ADP
ejpam-6981	618	8	under	under	ADP
ejpam-6981	618	9	-	-	PUNCT
ejpam-6981	618	10	five	five	NUM
ejpam-6981	618	11	children	child	NOUN
ejpam-6981	618	12	in	in	ADP
ejpam-6981	618	13	shashogo	shashogo	PROPN
ejpam-6981	618	14	district	district	PROPN
ejpam-6981	618	15	,	,	PUNCT
ejpam-6981	618	16	southern	southern	ADJ
ejpam-6981	618	17	ethiopia	ethiopia	PROPN
ejpam-6981	618	18	:	:	PUNCT
ejpam-6981	618	19	a	a	DET
ejpam-6981	618	20	case	case	NOUN
ejpam-6981	618	21	-	-	PUNCT
ejpam-6981	618	22	control	control	NOUN
ejpam-6981	618	23	study	study	NOUN
ejpam-6981	618	24	.	.	PUNCT
ejpam-6981	619	1	infectious	infectious	ADJ
ejpam-6981	619	2	diseases	disease	NOUN
ejpam-6981	619	3	of	of	ADP
ejpam-6981	619	4	poverty	poverty	NOUN
ejpam-6981	619	5	,	,	PUNCT
ejpam-6981	619	6	6(9	6(9	NUM
ejpam-6981	619	7	)	)	PUNCT
ejpam-6981	619	8	,	,	PUNCT
ejpam-6981	619	9	2017	2017	NUM
ejpam-6981	619	10	.	.	PUNCT
ejpam-6981	620	1	[	[	X
ejpam-6981	620	2	6	6	NUM
ejpam-6981	620	3	]	]	PUNCT
ejpam-6981	620	4	i.	i.	PROPN
ejpam-6981	620	5	a.	a.	PROPN
ejpam-6981	620	6	mcgregor	mcgregor	PROPN
ejpam-6981	620	7	.	.	PUNCT
ejpam-6981	621	1	malaria	malaria	NOUN
ejpam-6981	621	2	:	:	PUNCT
ejpam-6981	621	3	nutritional	nutritional	ADJ
ejpam-6981	621	4	implications	implication	NOUN
ejpam-6981	621	5	.	.	PUNCT
ejpam-6981	622	1	reviews	review	NOUN
ejpam-6981	622	2	of	of	ADP
ejpam-6981	622	3	infectious	infectious	ADJ
ejpam-6981	622	4	diseases	disease	NOUN
ejpam-6981	622	5	,	,	PUNCT
ejpam-6981	622	6	4:798–804	4:798–804	PROPN
ejpam-6981	622	7	,	,	PUNCT
ejpam-6981	622	8	1982	1982	NUM
ejpam-6981	622	9	.	.	PUNCT
ejpam-6981	623	1	[	[	X
ejpam-6981	623	2	7	7	X
ejpam-6981	623	3	]	]	X
ejpam-6981	623	4	w.	w.	PROPN
ejpam-6981	623	5	h.	h.	PROPN
ejpam-6981	623	6	wernsdorfer	wernsdorfer	VERB
ejpam-6981	623	7	and	and	CCONJ
ejpam-6981	623	8	i.	i.	PROPN
ejpam-6981	623	9	a.	a.	PROPN
ejpam-6981	623	10	mcgregor	mcgregor	PROPN
ejpam-6981	623	11	.	.	PUNCT
ejpam-6981	624	1	malaria	malaria	NOUN
ejpam-6981	624	2	:	:	PUNCT
ejpam-6981	624	3	principles	principle	NOUN
ejpam-6981	624	4	and	and	CCONJ
ejpam-6981	624	5	practice	practice	NOUN
ejpam-6981	624	6	of	of	ADP
ejpam-6981	624	7	malariology	malariology	NOUN
ejpam-6981	624	8	.	.	PUNCT
ejpam-6981	625	1	london	london	PROPN
ejpam-6981	625	2	:	:	PUNCT
ejpam-6981	625	3	churchill	churchill	PROPN
ejpam-6981	625	4	livingstone	livingstone	PROPN
ejpam-6981	625	5	,	,	PUNCT
ejpam-6981	625	6	pages	page	NOUN
ejpam-6981	625	7	753–767	753–767	NUM
ejpam-6981	625	8	,	,	PUNCT
ejpam-6981	625	9	1988	1988	NUM
ejpam-6981	625	10	.	.	PUNCT
ejpam-6981	626	1	[	[	X
ejpam-6981	626	2	8	8	X
ejpam-6981	626	3	]	]	PUNCT
ejpam-6981	626	4	j.	j.	PROPN
ejpam-6981	626	5	s.	s.	PROPN
ejpam-6981	626	6	edirisinghe	edirisinghe	PROPN
ejpam-6981	626	7	.	.	PUNCT
ejpam-6981	627	1	infections	infection	NOUN
ejpam-6981	627	2	in	in	ADP
ejpam-6981	627	3	the	the	DET
ejpam-6981	627	4	malnourished	malnourished	NOUN
ejpam-6981	627	5	:	:	PUNCT
ejpam-6981	627	6	with	with	ADP
ejpam-6981	627	7	special	special	ADJ
ejpam-6981	627	8	reference	reference	NOUN
ejpam-6981	627	9	to	to	ADP
ejpam-6981	627	10	malaria	malaria	NOUN
ejpam-6981	627	11	and	and	CCONJ
ejpam-6981	627	12	malnutrition	malnutrition	NOUN
ejpam-6981	627	13	in	in	ADP
ejpam-6981	627	14	the	the	DET
ejpam-6981	627	15	tropics	tropic	NOUN
ejpam-6981	627	16	.	.	PUNCT
ejpam-6981	628	1	annals	annal	NOUN
ejpam-6981	628	2	of	of	ADP
ejpam-6981	628	3	tropical	tropical	ADJ
ejpam-6981	628	4	paediatrics	paediatric	NOUN
ejpam-6981	628	5	,	,	PUNCT
ejpam-6981	628	6	6:233–237	6:233–237	NUM
ejpam-6981	628	7	,	,	PUNCT
ejpam-6981	628	8	1986	1986	NUM
ejpam-6981	628	9	.	.	PUNCT
ejpam-6981	629	1	[	[	X
ejpam-6981	629	2	9	9	NUM
ejpam-6981	629	3	]	]	PUNCT
ejpam-6981	629	4	m.	m.	NOUN
ejpam-6981	629	5	c.	c.	PROPN
ejpam-6981	629	6	latham	latham	PROPN
ejpam-6981	629	7	.	.	PUNCT
ejpam-6981	629	8	needed	need	VERB
ejpam-6981	629	9	research	research	NOUN
ejpam-6981	629	10	on	on	ADP
ejpam-6981	629	11	the	the	DET
ejpam-6981	629	12	interactions	interaction	NOUN
ejpam-6981	629	13	of	of	ADP
ejpam-6981	629	14	certain	certain	ADJ
ejpam-6981	629	15	parasitic	parasitic	ADJ
ejpam-6981	629	16	diseases	disease	NOUN
ejpam-6981	629	17	and	and	CCONJ
ejpam-6981	629	18	nutrition	nutrition	NOUN
ejpam-6981	629	19	in	in	ADP
ejpam-6981	629	20	humans	human	NOUN
ejpam-6981	629	21	.	.	PUNCT
ejpam-6981	630	1	reviews	review	NOUN
ejpam-6981	630	2	of	of	ADP
ejpam-6981	630	3	infectious	infectious	ADJ
ejpam-6981	630	4	diseases	disease	NOUN
ejpam-6981	630	5	,	,	PUNCT
ejpam-6981	630	6	4:896–900	4:896–900	NOUN
ejpam-6981	630	7	,	,	PUNCT
ejpam-6981	630	8	1982	1982	NUM
ejpam-6981	630	9	.	.	PUNCT
ejpam-6981	631	1	[	[	X
ejpam-6981	631	2	10	10	NUM
ejpam-6981	631	3	]	]	PUNCT
ejpam-6981	631	4	s.	s.	PROPN
ejpam-6981	631	5	y.	y.	PROPN
ejpam-6981	631	6	tchoumi	tchoumi	PROPN
ejpam-6981	631	7	,	,	PUNCT
ejpam-6981	631	8	e.	e.	PROPN
ejpam-6981	631	9	z.	z.	PROPN
ejpam-6981	631	10	dongmo	dongmo	PROPN
ejpam-6981	631	11	,	,	PUNCT
ejpam-6981	631	12	j.	j.	PROPN
ejpam-6981	631	13	c.	c.	PROPN
ejpam-6981	631	14	kamgang	kamgang	PROPN
ejpam-6981	631	15	,	,	PUNCT
ejpam-6981	631	16	and	and	CCONJ
ejpam-6981	631	17	j.	j.	PROPN
ejpam-6981	631	18	m.	m.	PROPN
ejpam-6981	631	19	tchuenche	tchuenche	PROPN
ejpam-6981	631	20	.	.	PUNCT
ejpam-6981	632	1	dynamics	dynamic	NOUN
ejpam-6981	632	2	of	of	ADP
ejpam-6981	632	3	a	a	DET
ejpam-6981	632	4	two	two	NUM
ejpam-6981	632	5	-	-	PUNCT
ejpam-6981	632	6	group	group	NOUN
ejpam-6981	632	7	structured	structure	VERB
ejpam-6981	632	8	malaria	malaria	NOUN
ejpam-6981	632	9	transmission	transmission	NOUN
ejpam-6981	632	10	model	model	NOUN
ejpam-6981	632	11	.	.	PUNCT
ejpam-6981	633	1	informatics	informatic	NOUN
ejpam-6981	633	2	in	in	ADP
ejpam-6981	633	3	medicine	medicine	NOUN
ejpam-6981	633	4	unlocked	unlock	VERB
ejpam-6981	633	5	,	,	PUNCT
ejpam-6981	633	6	29:100897	29:100897	PROPN
ejpam-6981	633	7	,	,	PUNCT
ejpam-6981	633	8	2022	2022	NUM
ejpam-6981	633	9	.	.	PUNCT
ejpam-6981	634	1	[	[	X
ejpam-6981	634	2	11	11	NUM
ejpam-6981	634	3	]	]	PUNCT
ejpam-6981	634	4	s.	s.	PROPN
ejpam-6981	634	5	y.	y.	PROPN
ejpam-6981	634	6	tchoumi	tchoumi	PROPN
ejpam-6981	634	7	,	,	PUNCT
ejpam-6981	634	8	n.	n.	PROPN
ejpam-6981	634	9	y.	y.	PROPN
ejpam-6981	634	10	njintang	njintang	PROPN
ejpam-6981	634	11	,	,	PUNCT
ejpam-6981	634	12	j.	j.	PROPN
ejpam-6981	634	13	c.	c.	PROPN
ejpam-6981	634	14	kamgang	kamgang	PROPN
ejpam-6981	634	15	,	,	PUNCT
ejpam-6981	634	16	and	and	CCONJ
ejpam-6981	634	17	j.	j.	PROPN
ejpam-6981	634	18	m.	m.	PROPN
ejpam-6981	634	19	tchuenche	tchuenche	PROPN
ejpam-6981	634	20	.	.	PUNCT
ejpam-6981	635	1	malaria	malaria	NOUN
ejpam-6981	635	2	and	and	CCONJ
ejpam-6981	635	3	malnutrition	malnutrition	NOUN
ejpam-6981	635	4	in	in	ADP
ejpam-6981	635	5	children	child	NOUN
ejpam-6981	635	6	:	:	PUNCT
ejpam-6981	635	7	a	a	DET
ejpam-6981	635	8	mathematical	mathematical	ADJ
ejpam-6981	635	9	model	model	NOUN
ejpam-6981	635	10	.	.	PUNCT
ejpam-6981	636	1	franklin	franklin	PROPN
ejpam-6981	636	2	open	open	PROPN
ejpam-6981	636	3	,	,	PUNCT
ejpam-6981	636	4	3:100013	3:100013	NUM
ejpam-6981	636	5	,	,	PUNCT
ejpam-6981	636	6	2023	2023	NUM
ejpam-6981	636	7	.	.	PUNCT
ejpam-6981	637	1	[	[	X
ejpam-6981	637	2	12	12	NUM
ejpam-6981	637	3	]	]	X
ejpam-6981	637	4	s.	s.	PROPN
ejpam-6981	637	5	mandal	mandal	PROPN
ejpam-6981	637	6	,	,	PUNCT
ejpam-6981	637	7	r.	r.	PROPN
ejpam-6981	637	8	r.	r.	PROPN
ejpam-6981	637	9	sarkar	sarkar	PROPN
ejpam-6981	637	10	,	,	PUNCT
ejpam-6981	637	11	and	and	CCONJ
ejpam-6981	637	12	s.	s.	PROPN
ejpam-6981	637	13	sinha	sinha	PROPN
ejpam-6981	637	14	.	.	PROPN
ejpam-6981	637	15	mathematical	mathematical	ADJ
ejpam-6981	637	16	models	model	NOUN
ejpam-6981	637	17	of	of	ADP
ejpam-6981	637	18	malaria	malaria	NOUN
ejpam-6981	637	19	a	a	DET
ejpam-6981	637	20	review	review	NOUN
ejpam-6981	637	21	.	.	PUNCT
ejpam-6981	638	1	malaria	malaria	PROPN
ejpam-6981	638	2	journal	journal	PROPN
ejpam-6981	638	3	,	,	PUNCT
ejpam-6981	638	4	10:202	10:202	NUM
ejpam-6981	638	5	,	,	PUNCT
ejpam-6981	638	6	2011	2011	NUM
ejpam-6981	638	7	.	.	PUNCT
ejpam-6981	639	1	[	[	X
ejpam-6981	639	2	13	13	NUM
ejpam-6981	639	3	]	]	PUNCT
ejpam-6981	639	4	a.	a.	NOUN
ejpam-6981	639	5	a.	a.	NOUN
ejpam-6981	639	6	gebremeskel	gebremeskel	PROPN
ejpam-6981	639	7	and	and	CCONJ
ejpam-6981	639	8	h.	h.	PROPN
ejpam-6981	639	9	e.	e.	PROPN
ejpam-6981	639	10	krogstad	krogstad	PROPN
ejpam-6981	639	11	.	.	PUNCT
ejpam-6981	640	1	mathematical	mathematical	ADJ
ejpam-6981	640	2	modelling	modelling	NOUN
ejpam-6981	640	3	of	of	ADP
ejpam-6981	640	4	endemic	endemic	ADJ
ejpam-6981	640	5	malaria	malaria	NOUN
ejpam-6981	640	6	transmission	transmission	NOUN
ejpam-6981	640	7	.	.	PUNCT
ejpam-6981	641	1	american	american	ADJ
ejpam-6981	641	2	journal	journal	PROPN
ejpam-6981	641	3	of	of	ADP
ejpam-6981	641	4	applied	apply	VERB
ejpam-6981	641	5	mathematics	mathematic	NOUN
ejpam-6981	641	6	,	,	PUNCT
ejpam-6981	641	7	3(2):36–46	3(2):36–46	NUM
ejpam-6981	641	8	,	,	PUNCT
ejpam-6981	641	9	2015	2015	NUM
ejpam-6981	641	10	.	.	PUNCT
ejpam-6981	642	1	[	[	X
ejpam-6981	642	2	14	14	NUM
ejpam-6981	642	3	]	]	X
ejpam-6981	642	4	j.	j.	PROPN
ejpam-6981	642	5	welch	welch	PROPN
ejpam-6981	642	6	,	,	PUNCT
ejpam-6981	642	7	r.	r.	PROPN
ejpam-6981	642	8	m.	m.	PROPN
ejpam-6981	642	9	li	li	PROPN
ejpam-6981	642	10	,	,	PUNCT
ejpam-6981	642	11	u.	u.	PROPN
ejpam-6981	642	12	s.	s.	PROPN
ejpam-6981	642	13	nair	nair	PROPN
ejpam-6981	642	14	,	,	PUNCT
ejpam-6981	642	15	t.	t.	PROPN
ejpam-6981	642	16	l.	l.	PROPN
ejpam-6981	642	17	sever	sever	PROPN
ejpam-6981	642	18	,	,	PUNCT
ejpam-6981	642	19	d.	d.	PROPN
ejpam-6981	642	20	e.	e.	PROPN
ejpam-6981	642	21	irwin	irwin	PROPN
ejpam-6981	642	22	,	,	PUNCT
ejpam-6981	642	23	c.	c.	PROPN
ejpam-6981	642	24	cordon	cordon	PROPN
ejpam-6981	642	25	-	-	PUNCT
ejpam-6981	642	26	rosales	rosale	NOUN
ejpam-6981	642	27	,	,	PUNCT
ejpam-6981	642	28	and	and	CCONJ
ejpam-6981	642	29	n.	n.	PROPN
ejpam-6981	642	30	padilla	padilla	PROPN
ejpam-6981	642	31	.	.	PUNCT
ejpam-6981	643	1	dynamic	dynamic	ADJ
ejpam-6981	643	2	malaria	malaria	NOUN
ejpam-6981	643	3	models	model	NOUN
ejpam-6981	643	4	with	with	ADP
ejpam-6981	643	5	environmental	environmental	ADJ
ejpam-6981	643	6	changes	change	NOUN
ejpam-6981	643	7	.	.	PUNCT
ejpam-6981	644	1	in	in	ADP
ejpam-6981	644	2	proceedings	proceeding	NOUN
ejpam-6981	644	3	of	of	ADP
ejpam-6981	644	4	the	the	DET
ejpam-6981	644	5	thirty	thirty	NUM
ejpam-6981	644	6	-	-	PUNCT
ejpam-6981	644	7	fourth	fourth	ADJ
ejpam-6981	644	8	southeastern	southeastern	ADJ
ejpam-6981	644	9	symposium	symposium	NOUN
ejpam-6981	644	10	on	on	ADP
ejpam-6981	644	11	system	system	NOUN
ejpam-6981	644	12	theory	theory	NOUN
ejpam-6981	644	13	,	,	PUNCT
ejpam-6981	644	14	pages	page	NOUN
ejpam-6981	644	15	396–400	396–400	NUM
ejpam-6981	644	16	,	,	PUNCT
ejpam-6981	644	17	huntsville	huntsville	PROPN
ejpam-6981	644	18	,	,	PUNCT
ejpam-6981	644	19	2002	2002	NUM
ejpam-6981	644	20	.	.	PUNCT
ejpam-6981	645	1	[	[	X
ejpam-6981	645	2	15	15	NUM
ejpam-6981	645	3	]	]	X
ejpam-6981	645	4	h.	h.	PROPN
ejpam-6981	645	5	m.	m.	PROPN
ejpam-6981	645	6	yang	yang	PROPN
ejpam-6981	645	7	.	.	PUNCT
ejpam-6981	645	8	malaria	malaria	PROPN
ejpam-6981	645	9	transmission	transmission	NOUN
ejpam-6981	645	10	model	model	NOUN
ejpam-6981	645	11	for	for	ADP
ejpam-6981	645	12	different	different	ADJ
ejpam-6981	645	13	levels	level	NOUN
ejpam-6981	645	14	of	of	ADP
ejpam-6981	645	15	acquired	acquire	VERB
ejpam-6981	645	16	immunity	immunity	NOUN
ejpam-6981	645	17	and	and	CCONJ
ejpam-6981	645	18	temperature	temperature	NOUN
ejpam-6981	645	19	-	-	PUNCT
ejpam-6981	645	20	dependent	dependent	ADJ
ejpam-6981	645	21	parameters(vector	parameters(vector	NOUN
ejpam-6981	645	22	)	)	PUNCT
ejpam-6981	645	23	.	.	PUNCT
ejpam-6981	646	1	revista	revista	PROPN
ejpam-6981	646	2	de	de	PROPN
ejpam-6981	646	3	saúde	saúde	PROPN
ejpam-6981	646	4	pública	pública	PROPN
ejpam-6981	646	5	,	,	PUNCT
ejpam-6981	646	6	34:223	34:223	NUM
ejpam-6981	646	7	–	–	PUNCT
ejpam-6981	646	8	231	231	NUM
ejpam-6981	646	9	,	,	PUNCT
ejpam-6981	646	10	2000	2000	NUM
ejpam-6981	646	11	.	.	PUNCT
ejpam-6981	647	1	[	[	X
ejpam-6981	647	2	16	16	NUM
ejpam-6981	647	3	]	]	PUNCT
ejpam-6981	647	4	m.	m.	NOUN
ejpam-6981	647	5	u.	u.	PROPN
ejpam-6981	647	6	ferreira	ferreira	PROPN
ejpam-6981	647	7	and	and	CCONJ
ejpam-6981	647	8	h.	h.	PROPN
ejpam-6981	647	9	m.	m.	PROPN
ejpam-6981	647	10	yang	yang	PROPN
ejpam-6981	647	11	.	.	PUNCT
ejpam-6981	648	1	assessing	assess	VERB
ejpam-6981	648	2	the	the	DET
ejpam-6981	648	3	effects	effect	NOUN
ejpam-6981	648	4	of	of	ADP
ejpam-6981	648	5	global	global	ADJ
ejpam-6981	648	6	warming	warming	NOUN
ejpam-6981	648	7	and	and	CCONJ
ejpam-6981	648	8	local	local	ADJ
ejpam-6981	648	9	social	social	ADJ
ejpam-6981	648	10	and	and	CCONJ
ejpam-6981	648	11	economic	economic	ADJ
ejpam-6981	648	12	conditions	condition	NOUN
ejpam-6981	648	13	on	on	ADP
ejpam-6981	648	14	the	the	DET
ejpam-6981	648	15	malaria	malaria	NOUN
ejpam-6981	648	16	transmission	transmission	NOUN
ejpam-6981	648	17	.	.	PUNCT
ejpam-6981	649	1	revista	revista	PROPN
ejpam-6981	649	2	de	de	PROPN
ejpam-6981	649	3	saúde	saúde	PROPN
ejpam-6981	649	4	pública	pública	PROPN
ejpam-6981	649	5	,	,	PUNCT
ejpam-6981	649	6	34:214–222	34:214–222	PROPN
ejpam-6981	649	7	,	,	PUNCT
ejpam-6981	649	8	2000	2000	NUM
ejpam-6981	649	9	.	.	PUNCT
ejpam-6981	650	1	[	[	X
ejpam-6981	650	2	17	17	NUM
ejpam-6981	650	3	]	]	PUNCT
ejpam-6981	650	4	j.	j.	PROPN
ejpam-6981	650	5	c.	c.	PROPN
ejpam-6981	650	6	koella	koella	PROPN
ejpam-6981	650	7	and	and	CCONJ
ejpam-6981	650	8	r.	r.	PROPN
ejpam-6981	650	9	antia	antia	PROPN
ejpam-6981	650	10	.	.	PUNCT
ejpam-6981	651	1	epidemiological	epidemiological	ADJ
ejpam-6981	651	2	models	model	NOUN
ejpam-6981	651	3	for	for	ADP
ejpam-6981	651	4	the	the	DET
ejpam-6981	651	5	spread	spread	NOUN
ejpam-6981	651	6	of	of	ADP
ejpam-6981	651	7	anti	anti	ADJ
ejpam-6981	651	8	-	-	ADJ
ejpam-6981	651	9	malarial	malarial	ADJ
ejpam-6981	651	10	resistance	resistance	NOUN
ejpam-6981	651	11	.	.	PUNCT
ejpam-6981	652	1	malaria	malaria	PROPN
ejpam-6981	652	2	journal	journal	PROPN
ejpam-6981	652	3	,	,	PUNCT
ejpam-6981	652	4	2	2	NUM
ejpam-6981	652	5	,	,	PUNCT
ejpam-6981	652	6	2003	2003	NUM
ejpam-6981	652	7	.	.	PUNCT
ejpam-6981	653	1	[	[	X
ejpam-6981	653	2	18	18	NUM
ejpam-6981	653	3	]	]	X
ejpam-6981	653	4	n.	n.	NOUN
ejpam-6981	653	5	bacaer	bacaer	PROPN
ejpam-6981	653	6	and	and	CCONJ
ejpam-6981	653	7	c.	c.	PROPN
ejpam-6981	653	8	sokhna	sokhna	NOUN
ejpam-6981	653	9	.	.	PUNCT
ejpam-6981	654	1	a	a	DET
ejpam-6981	654	2	reaction	reaction	NOUN
ejpam-6981	654	3	-	-	PUNCT
ejpam-6981	654	4	diffusion	diffusion	NOUN
ejpam-6981	654	5	system	system	NOUN
ejpam-6981	654	6	modeling	model	VERB
ejpam-6981	654	7	the	the	DET
ejpam-6981	654	8	spread	spread	NOUN
ejpam-6981	654	9	of	of	ADP
ejpam-6981	654	10	resistance	resistance	NOUN
ejpam-6981	654	11	to	to	ADP
ejpam-6981	654	12	an	an	DET
ejpam-6981	654	13	antimalarial	antimalarial	ADJ
ejpam-6981	654	14	drug	drug	NOUN
ejpam-6981	654	15	.	.	PUNCT
ejpam-6981	655	1	mathematical	mathematical	ADJ
ejpam-6981	655	2	biosciences	bioscience	NOUN
ejpam-6981	655	3	and	and	CCONJ
ejpam-6981	655	4	engineering	engineering	NOUN
ejpam-6981	655	5	,	,	PUNCT
ejpam-6981	655	6	2:227–238	2:227–238	NUM
ejpam-6981	655	7	,	,	PUNCT
ejpam-6981	655	8	2005	2005	NUM
ejpam-6981	655	9	.	.	PUNCT
ejpam-6981	656	1	a.	a.	PROPN
ejpam-6981	656	2	shaikh	shaikh	PROPN
ejpam-6981	656	3	,	,	PUNCT
ejpam-6981	656	4	s.	s.	PROPN
ejpam-6981	656	5	howal	howal	PROPN
ejpam-6981	656	6	,	,	PUNCT
ejpam-6981	656	7	k.	k.	PROPN
ejpam-6981	656	8	s.	s.	PROPN
ejpam-6981	656	9	nisar	nisar	PROPN
ejpam-6981	656	10	/	/	SYM
ejpam-6981	656	11	eur	eur	PROPN
ejpam-6981	656	12	.	.	PUNCT
ejpam-6981	657	1	j.	j.	PROPN
ejpam-6981	657	2	pure	pure	PROPN
ejpam-6981	657	3	appl	appl	PROPN
ejpam-6981	657	4	.	.	PROPN
ejpam-6981	657	5	math	math	PROPN
ejpam-6981	657	6	,	,	PUNCT
ejpam-6981	657	7	18	18	NUM
ejpam-6981	657	8	(	(	PUNCT
ejpam-6981	657	9	4	4	NUM
ejpam-6981	657	10	)	)	PUNCT
ejpam-6981	657	11	(	(	PUNCT
ejpam-6981	657	12	2025	2025	NUM
ejpam-6981	657	13	)	)	PUNCT
ejpam-6981	657	14	,	,	PUNCT
ejpam-6981	657	15	6981	6981	NUM
ejpam-6981	657	16	25	25	NUM
ejpam-6981	658	1	[	[	SYM
ejpam-6981	658	2	19	19	NUM
ejpam-6981	658	3	]	]	PUNCT
ejpam-6981	658	4	g.	g.	PROPN
ejpam-6981	658	5	a.	a.	PROPN
ejpam-6981	658	6	ngwa	ngwa	PROPN
ejpam-6981	658	7	and	and	CCONJ
ejpam-6981	658	8	w.	w.	PROPN
ejpam-6981	658	9	s.	s.	PROPN
ejpam-6981	658	10	shu	shu	PROPN
ejpam-6981	658	11	.	.	PUNCT
ejpam-6981	659	1	a	a	DET
ejpam-6981	659	2	mathematical	mathematical	ADJ
ejpam-6981	659	3	model	model	NOUN
ejpam-6981	659	4	for	for	ADP
ejpam-6981	659	5	endemic	endemic	ADJ
ejpam-6981	659	6	malaria	malaria	NOUN
ejpam-6981	659	7	with	with	ADP
ejpam-6981	659	8	variable	variable	ADJ
ejpam-6981	659	9	human	human	ADJ
ejpam-6981	659	10	and	and	CCONJ
ejpam-6981	659	11	mosquito	mosquito	ADJ
ejpam-6981	659	12	populations	population	NOUN
ejpam-6981	659	13	.	.	PUNCT
ejpam-6981	660	1	mathematical	mathematical	ADJ
ejpam-6981	660	2	and	and	CCONJ
ejpam-6981	660	3	computer	computer	NOUN
ejpam-6981	660	4	modeling	modeling	NOUN
ejpam-6981	660	5	journal	journal	NOUN
ejpam-6981	660	6	,	,	PUNCT
ejpam-6981	660	7	32:747–763	32:747–763	NUM
ejpam-6981	660	8	,	,	PUNCT
ejpam-6981	660	9	2000	2000	NUM
ejpam-6981	660	10	.	.	PUNCT
ejpam-6981	661	1	[	[	X
ejpam-6981	661	2	20	20	NUM
ejpam-6981	661	3	]	]	X
ejpam-6981	661	4	g.	g.	PROPN
ejpam-6981	661	5	a.	a.	PROPN
ejpam-6981	661	6	ngwa	ngwa	PROPN
ejpam-6981	661	7	.	.	PUNCT
ejpam-6981	662	1	modelling	model	VERB
ejpam-6981	662	2	the	the	DET
ejpam-6981	662	3	dynamics	dynamic	NOUN
ejpam-6981	662	4	of	of	ADP
ejpam-6981	662	5	endemic	endemic	ADJ
ejpam-6981	662	6	malaria	malaria	NOUN
ejpam-6981	662	7	in	in	ADP
ejpam-6981	662	8	growing	grow	VERB
ejpam-6981	662	9	populations	population	NOUN
ejpam-6981	662	10	.	.	PUNCT
ejpam-6981	663	1	discrete	discrete	ADJ
ejpam-6981	663	2	and	and	CCONJ
ejpam-6981	663	3	continuous	continuous	ADJ
ejpam-6981	663	4	dynamical	dynamical	ADJ
ejpam-6981	663	5	systems	system	NOUN
ejpam-6981	663	6	series	series	PROPN
ejpam-6981	663	7	b	b	PROPN
ejpam-6981	663	8	,	,	PUNCT
ejpam-6981	663	9	4:1173–1202	4:1173–1202	PROPN
ejpam-6981	663	10	,	,	PUNCT
ejpam-6981	663	11	2004	2004	NUM
ejpam-6981	663	12	.	.	PUNCT
ejpam-6981	664	1	[	[	X
ejpam-6981	664	2	21	21	NUM
ejpam-6981	664	3	]	]	X
ejpam-6981	664	4	danso	danso	PROPN
ejpam-6981	664	5	addo	addo	PROPN
ejpam-6981	664	6	.	.	PUNCT
ejpam-6981	664	7	mathematical	mathematical	ADJ
ejpam-6981	664	8	model	model	NOUN
ejpam-6981	664	9	for	for	ADP
ejpam-6981	664	10	the	the	DET
ejpam-6981	664	11	control	control	NOUN
ejpam-6981	664	12	of	of	ADP
ejpam-6981	664	13	malaria	malaria	NOUN
ejpam-6981	664	14	.	.	PUNCT
ejpam-6981	665	1	phd	phd	NOUN
ejpam-6981	665	2	thesis	thesis	PROPN
ejpam-6981	665	3	,	,	PUNCT
ejpam-6981	665	4	university	university	NOUN
ejpam-6981	665	5	of	of	ADP
ejpam-6981	665	6	cape	cape	PROPN
ejpam-6981	665	7	coast	coast	PROPN
ejpam-6981	665	8	,	,	PUNCT
ejpam-6981	665	9	2009	2009	NUM
ejpam-6981	665	10	.	.	PUNCT
ejpam-6981	666	1	[	[	X
ejpam-6981	666	2	22	22	NUM
ejpam-6981	666	3	]	]	X
ejpam-6981	666	4	j.	j.	PROPN
ejpam-6981	666	5	tumwiine	tumwiine	PROPN
ejpam-6981	666	6	,	,	PUNCT
ejpam-6981	666	7	j.	j.	PROPN
ejpam-6981	666	8	y.	y.	PROPN
ejpam-6981	666	9	t.	t.	PROPN
ejpam-6981	666	10	mugisha	mugisha	PROPN
ejpam-6981	666	11	,	,	PUNCT
ejpam-6981	666	12	and	and	CCONJ
ejpam-6981	666	13	l.	l.	PROPN
ejpam-6981	666	14	s.	s.	PROPN
ejpam-6981	666	15	luboobi	luboobi	PROPN
ejpam-6981	666	16	.	.	PUNCT
ejpam-6981	667	1	a	a	DET
ejpam-6981	667	2	mathematical	mathematical	ADJ
ejpam-6981	667	3	model	model	NOUN
ejpam-6981	667	4	for	for	ADP
ejpam-6981	667	5	the	the	DET
ejpam-6981	667	6	dynamics	dynamic	NOUN
ejpam-6981	667	7	of	of	ADP
ejpam-6981	667	8	malaria	malaria	NOUN
ejpam-6981	667	9	in	in	ADP
ejpam-6981	667	10	a	a	DET
ejpam-6981	667	11	human	human	ADJ
ejpam-6981	667	12	host	host	NOUN
ejpam-6981	667	13	and	and	CCONJ
ejpam-6981	667	14	mosquito	mosquito	VERB
ejpam-6981	667	15	vector	vector	NOUN
ejpam-6981	667	16	with	with	ADP
ejpam-6981	667	17	temporary	temporary	ADJ
ejpam-6981	667	18	immunity	immunity	NOUN
ejpam-6981	667	19	.	.	PUNCT
ejpam-6981	668	1	journal	journal	NOUN
ejpam-6981	668	2	of	of	ADP
ejpam-6981	668	3	applied	apply	VERB
ejpam-6981	668	4	mathematics	mathematic	NOUN
ejpam-6981	668	5	and	and	CCONJ
ejpam-6981	668	6	computation	computation	NOUN
ejpam-6981	668	7	,	,	PUNCT
ejpam-6981	668	8	189:1953–1965	189:1953–1965	NUM
ejpam-6981	668	9	,	,	PUNCT
ejpam-6981	668	10	2005	2005	NUM
ejpam-6981	668	11	.	.	PUNCT
ejpam-6981	669	1	[	[	X
ejpam-6981	669	2	23	23	NUM
ejpam-6981	669	3	]	]	X
ejpam-6981	669	4	h.	h.	PROPN
ejpam-6981	669	5	yang	yang	PROPN
ejpam-6981	669	6	,	,	PUNCT
ejpam-6981	669	7	h.	h.	PROPN
ejpam-6981	669	8	wei	wei	PROPN
ejpam-6981	669	9	,	,	PUNCT
ejpam-6981	669	10	and	and	CCONJ
ejpam-6981	669	11	x.	x.	PROPN
ejpam-6981	669	12	li	li	PROPN
ejpam-6981	669	13	.	.	PROPN
ejpam-6981	669	14	global	global	ADJ
ejpam-6981	669	15	stability	stability	NOUN
ejpam-6981	669	16	of	of	ADP
ejpam-6981	669	17	an	an	DET
ejpam-6981	669	18	epidemic	epidemic	NOUN
ejpam-6981	669	19	model	model	NOUN
ejpam-6981	669	20	for	for	ADP
ejpam-6981	669	21	vector	vector	NOUN
ejpam-6981	669	22	borne	borne	NOUN
ejpam-6981	669	23	disease	disease	NOUN
ejpam-6981	669	24	.	.	PUNCT
ejpam-6981	670	1	journal	journal	PROPN
ejpam-6981	670	2	of	of	ADP
ejpam-6981	670	3	systems	system	NOUN
ejpam-6981	670	4	science	science	NOUN
ejpam-6981	670	5	and	and	CCONJ
ejpam-6981	670	6	complexity	complexity	NOUN
ejpam-6981	670	7	,	,	PUNCT
ejpam-6981	670	8	23:279–292	23:279–292	NUM
ejpam-6981	670	9	,	,	PUNCT
ejpam-6981	670	10	2010	2010	NUM
ejpam-6981	670	11	.	.	PUNCT
ejpam-6981	671	1	[	[	X
ejpam-6981	671	2	24	24	NUM
ejpam-6981	671	3	]	]	PUNCT
ejpam-6981	671	4	k.	k.	PROPN
ejpam-6981	671	5	s.	s.	PROPN
ejpam-6981	671	6	nisar	nisar	PROPN
ejpam-6981	671	7	,	,	PUNCT
ejpam-6981	671	8	m.	m.	NOUN
ejpam-6981	671	9	farman	farman	PROPN
ejpam-6981	671	10	,	,	PUNCT
ejpam-6981	671	11	m.	m.	PROPN
ejpam-6981	671	12	abdel	abdel	PROPN
ejpam-6981	671	13	-	-	PUNCT
ejpam-6981	671	14	aty	aty	PROPN
ejpam-6981	671	15	,	,	PUNCT
ejpam-6981	671	16	and	and	CCONJ
ejpam-6981	671	17	c.	c.	PROPN
ejpam-6981	671	18	ravichandran	ravichandran	NOUN
ejpam-6981	671	19	.	.	PUNCT
ejpam-6981	672	1	a	a	DET
ejpam-6981	672	2	review	review	NOUN
ejpam-6981	672	3	of	of	ADP
ejpam-6981	672	4	fractional	fractional	ADJ
ejpam-6981	672	5	order	order	NOUN
ejpam-6981	672	6	epidemic	epidemic	NOUN
ejpam-6981	672	7	models	model	NOUN
ejpam-6981	672	8	for	for	ADP
ejpam-6981	672	9	life	life	NOUN
ejpam-6981	672	10	sciences	science	NOUN
ejpam-6981	672	11	problems	problem	NOUN
ejpam-6981	672	12	:	:	PUNCT
ejpam-6981	672	13	past	past	ADJ
ejpam-6981	672	14	,	,	PUNCT
ejpam-6981	672	15	present	present	ADJ
ejpam-6981	672	16	and	and	CCONJ
ejpam-6981	672	17	future	future	NOUN
ejpam-6981	672	18	.	.	PUNCT
ejpam-6981	673	1	alexandria	alexandria	PROPN
ejpam-6981	673	2	engineering	engineering	PROPN
ejpam-6981	673	3	journal	journal	PROPN
ejpam-6981	673	4	,	,	PUNCT
ejpam-6981	673	5	95:283–305	95:283–305	PROPN
ejpam-6981	673	6	,	,	PUNCT
ejpam-6981	673	7	2024	2024	NUM
ejpam-6981	673	8	.	.	PUNCT
ejpam-6981	674	1	[	[	X
ejpam-6981	674	2	25	25	NUM
ejpam-6981	674	3	]	]	PUNCT
ejpam-6981	674	4	a.	a.	NOUN
ejpam-6981	674	5	alsaadi	alsaadi	NOUN
ejpam-6981	674	6	,	,	PUNCT
ejpam-6981	674	7	r.	r.	PROPN
ejpam-6981	674	8	shafqat	shafqat	PROPN
ejpam-6981	674	9	,	,	PUNCT
ejpam-6981	674	10	a.	a.	PROPN
ejpam-6981	674	11	al	al	PROPN
ejpam-6981	674	12	-	-	PUNCT
ejpam-6981	674	13	quran	quran	PROPN
ejpam-6981	674	14	,	,	PUNCT
ejpam-6981	674	15	and	and	CCONJ
ejpam-6981	674	16	a.	a.	NOUN
ejpam-6981	674	17	m.	m.	NOUN
ejpam-6981	674	18	djaouti	djaouti	PROPN
ejpam-6981	674	19	.	.	PUNCT
ejpam-6981	675	1	poliomyelitis	poliomyelitis	NOUN
ejpam-6981	675	2	dynamics	dynamic	NOUN
ejpam-6981	675	3	with	with	ADP
ejpam-6981	675	4	fractional	fractional	ADJ
ejpam-6981	675	5	order	order	NOUN
ejpam-6981	675	6	derivatives	derivative	NOUN
ejpam-6981	675	7	and	and	CCONJ
ejpam-6981	675	8	deep	deep	ADJ
ejpam-6981	675	9	neural	neural	ADJ
ejpam-6981	675	10	networks	network	NOUN
ejpam-6981	675	11	.	.	PUNCT
ejpam-6981	676	1	scientific	scientific	ADJ
ejpam-6981	676	2	reports	report	NOUN
ejpam-6981	676	3	,	,	PUNCT
ejpam-6981	676	4	15(1):32023	15(1):32023	NUM
ejpam-6981	676	5	,	,	PUNCT
ejpam-6981	676	6	2025	2025	NUM
ejpam-6981	676	7	.	.	PUNCT
ejpam-6981	677	1	[	[	X
ejpam-6981	677	2	26	26	NUM
ejpam-6981	677	3	]	]	PUNCT
ejpam-6981	677	4	a.	a.	NOUN
ejpam-6981	677	5	s.	s.	PROPN
ejpam-6981	677	6	shaikh	shaikh	PROPN
ejpam-6981	677	7	and	and	CCONJ
ejpam-6981	677	8	k.	k.	PROPN
ejpam-6981	677	9	s.	s.	PROPN
ejpam-6981	677	10	nisar	nisar	PROPN
ejpam-6981	677	11	.	.	PUNCT
ejpam-6981	678	1	transmission	transmission	NOUN
ejpam-6981	678	2	dynamics	dynamic	NOUN
ejpam-6981	678	3	of	of	ADP
ejpam-6981	678	4	fractional	fractional	ADJ
ejpam-6981	678	5	order	order	NOUN
ejpam-6981	678	6	typhoid	typhoid	NOUN
ejpam-6981	678	7	fever	fever	NOUN
ejpam-6981	678	8	model	model	NOUN
ejpam-6981	678	9	using	use	VERB
ejpam-6981	678	10	caputo	caputo	PROPN
ejpam-6981	678	11	–	–	PUNCT
ejpam-6981	678	12	fabrizio	fabrizio	NOUN
ejpam-6981	678	13	operator	operator	NOUN
ejpam-6981	678	14	.	.	PUNCT
ejpam-6981	679	1	chaos	chaos	NOUN
ejpam-6981	679	2	,	,	PUNCT
ejpam-6981	679	3	solitons	soliton	NOUN
ejpam-6981	679	4	and	and	CCONJ
ejpam-6981	679	5	fractals	fractal	NOUN
ejpam-6981	679	6	,	,	PUNCT
ejpam-6981	679	7	128:355–365	128:355–365	NUM
ejpam-6981	679	8	,	,	PUNCT
ejpam-6981	679	9	2019	2019	NUM
ejpam-6981	679	10	.	.	PUNCT
ejpam-6981	680	1	[	[	X
ejpam-6981	680	2	27	27	NUM
ejpam-6981	680	3	]	]	PUNCT
ejpam-6981	680	4	a.	a.	NOUN
ejpam-6981	680	5	s.	s.	PROPN
ejpam-6981	680	6	shaikh	shaikh	PROPN
ejpam-6981	680	7	,	,	PUNCT
ejpam-6981	680	8	i.	i.	PROPN
ejpam-6981	680	9	n.	n.	PROPN
ejpam-6981	680	10	shaikh	shaikh	PROPN
ejpam-6981	680	11	,	,	PUNCT
ejpam-6981	680	12	and	and	CCONJ
ejpam-6981	680	13	k.	k.	PROPN
ejpam-6981	680	14	s.	s.	PROPN
ejpam-6981	680	15	nisar	nisar	PROPN
ejpam-6981	680	16	.	.	PUNCT
ejpam-6981	681	1	a	a	DET
ejpam-6981	681	2	mathematical	mathematical	ADJ
ejpam-6981	681	3	model	model	NOUN
ejpam-6981	681	4	of	of	ADP
ejpam-6981	681	5	covid-19	covid-19	PROPN
ejpam-6981	681	6	using	use	VERB
ejpam-6981	681	7	fractional	fractional	ADJ
ejpam-6981	681	8	derivative	derivative	NOUN
ejpam-6981	681	9	:	:	PUNCT
ejpam-6981	681	10	outbreak	outbreak	NOUN
ejpam-6981	681	11	in	in	ADP
ejpam-6981	681	12	india	india	PROPN
ejpam-6981	681	13	with	with	ADP
ejpam-6981	681	14	dynamics	dynamic	NOUN
ejpam-6981	681	15	of	of	ADP
ejpam-6981	681	16	transmission	transmission	NOUN
ejpam-6981	681	17	and	and	CCONJ
ejpam-6981	681	18	control	control	NOUN
ejpam-6981	681	19	.	.	PUNCT
ejpam-6981	682	1	advances	advance	NOUN
ejpam-6981	682	2	in	in	ADP
ejpam-6981	682	3	difference	difference	NOUN
ejpam-6981	682	4	equations	equation	NOUN
ejpam-6981	682	5	,	,	PUNCT
ejpam-6981	682	6	page	page	NOUN
ejpam-6981	682	7	373	373	NUM
ejpam-6981	682	8	,	,	PUNCT
ejpam-6981	682	9	2020	2020	NUM
ejpam-6981	682	10	.	.	PUNCT
ejpam-6981	683	1	[	[	X
ejpam-6981	683	2	28	28	NUM
ejpam-6981	683	3	]	]	X
ejpam-6981	683	4	s.	s.	PROPN
ejpam-6981	683	5	khajanchi	khajanchi	PROPN
ejpam-6981	683	6	,	,	PUNCT
ejpam-6981	683	7	k.	k.	PROPN
ejpam-6981	683	8	sarkar	sarkar	PROPN
ejpam-6981	683	9	,	,	PUNCT
ejpam-6981	683	10	j.	j.	PROPN
ejpam-6981	683	11	mondal	mondal	PROPN
ejpam-6981	683	12	,	,	PUNCT
ejpam-6981	683	13	k.	k.	PROPN
ejpam-6981	683	14	s.	s.	PROPN
ejpam-6981	683	15	nisar	nisar	PROPN
ejpam-6981	683	16	,	,	PUNCT
ejpam-6981	683	17	and	and	CCONJ
ejpam-6981	683	18	s.	s.	PROPN
ejpam-6981	683	19	f.	f.	PROPN
ejpam-6981	683	20	abdelwahab	abdelwahab	PROPN
ejpam-6981	683	21	.	.	PUNCT
ejpam-6981	684	1	mathematical	mathematical	ADJ
ejpam-6981	684	2	modeling	modeling	NOUN
ejpam-6981	684	3	of	of	ADP
ejpam-6981	684	4	the	the	DET
ejpam-6981	684	5	covid-19	covid-19	PROPN
ejpam-6981	684	6	pandemic	pandemic	NOUN
ejpam-6981	684	7	with	with	ADP
ejpam-6981	684	8	intervention	intervention	NOUN
ejpam-6981	684	9	strategies	strategy	NOUN
ejpam-6981	684	10	.	.	PUNCT
ejpam-6981	685	1	results	result	NOUN
ejpam-6981	685	2	in	in	ADP
ejpam-6981	685	3	physics	physics	NOUN
ejpam-6981	685	4	,	,	PUNCT
ejpam-6981	685	5	25:2211–3797	25:2211–3797	NUM
ejpam-6981	685	6	,	,	PUNCT
ejpam-6981	685	7	2021	2021	NUM
ejpam-6981	685	8	.	.	PUNCT
ejpam-6981	686	1	[	[	X
ejpam-6981	686	2	29	29	NUM
ejpam-6981	686	3	]	]	PUNCT
ejpam-6981	686	4	a.	a.	NOUN
ejpam-6981	686	5	turab	turab	PROPN
ejpam-6981	686	6	,	,	PUNCT
ejpam-6981	686	7	r.	r.	PROPN
ejpam-6981	686	8	shafqat	shafqat	PROPN
ejpam-6981	686	9	,	,	PUNCT
ejpam-6981	686	10	and	and	CCONJ
ejpam-6981	686	11	s.	s.	PROPN
ejpam-6981	686	12	muhammad	muhammad	PROPN
ejpam-6981	686	13	.	.	PROPN
ejpam-6981	687	1	predictive	predictive	ADJ
ejpam-6981	687	2	modeling	modeling	NOUN
ejpam-6981	687	3	of	of	ADP
ejpam-6981	687	4	hepatitis	hepatitis	PROPN
ejpam-6981	687	5	b	b	NOUN
ejpam-6981	687	6	viral	viral	ADJ
ejpam-6981	687	7	dynamics	dynamic	NOUN
ejpam-6981	687	8	:	:	PUNCT
ejpam-6981	687	9	a	a	DET
ejpam-6981	687	10	caputo	caputo	PROPN
ejpam-6981	687	11	derivative	derivative	NOUN
ejpam-6981	687	12	-	-	PUNCT
ejpam-6981	687	13	based	base	VERB
ejpam-6981	687	14	approach	approach	NOUN
ejpam-6981	687	15	using	use	VERB
ejpam-6981	687	16	artificial	artificial	ADJ
ejpam-6981	687	17	neural	neural	ADJ
ejpam-6981	687	18	networks	network	NOUN
ejpam-6981	687	19	.	.	PUNCT
ejpam-6981	688	1	scientific	scientific	ADJ
ejpam-6981	688	2	reports	report	NOUN
ejpam-6981	688	3	,	,	PUNCT
ejpam-6981	688	4	14:21853	14:21853	NUM
ejpam-6981	688	5	,	,	PUNCT
ejpam-6981	688	6	2024	2024	NUM
ejpam-6981	688	7	.	.	PUNCT
ejpam-6981	689	1	[	[	X
ejpam-6981	689	2	30	30	NUM
ejpam-6981	689	3	]	]	X
ejpam-6981	689	4	r.	r.	PROPN
ejpam-6981	689	5	shafqat	shafqat	PROPN
ejpam-6981	689	6	and	and	CCONJ
ejpam-6981	689	7	a.	a.	NOUN
ejpam-6981	689	8	alsaadi	alsaadi	NOUN
ejpam-6981	689	9	.	.	PUNCT
ejpam-6981	690	1	mathematical	mathematical	ADJ
ejpam-6981	690	2	and	and	CCONJ
ejpam-6981	690	3	numerical	numerical	ADJ
ejpam-6981	690	4	analysis	analysis	NOUN
ejpam-6981	690	5	of	of	ADP
ejpam-6981	690	6	a	a	DET
ejpam-6981	690	7	fractional	fractional	ADJ
ejpam-6981	690	8	siqr	siqr	ADJ
ejpam-6981	690	9	epidemic	epidemic	NOUN
ejpam-6981	690	10	model	model	NOUN
ejpam-6981	690	11	with	with	ADP
ejpam-6981	690	12	normalized	normalize	VERB
ejpam-6981	690	13	caputo	caputo	PROPN
ejpam-6981	690	14	-	-	PUNCT
ejpam-6981	690	15	fabrizio	fabrizio	PROPN
ejpam-6981	690	16	operator	operator	NOUN
ejpam-6981	690	17	and	and	CCONJ
ejpam-6981	690	18	machine	machine	NOUN
ejpam-6981	690	19	learning	learning	NOUN
ejpam-6981	690	20	approaches	approach	NOUN
ejpam-6981	690	21	.	.	PUNCT
ejpam-6981	691	1	aims	aim	VERB
ejpam-6981	691	2	mathematics	mathematic	NOUN
ejpam-6981	691	3	,	,	PUNCT
ejpam-6981	691	4	10(9):20235–20261	10(9):20235–20261	NUM
ejpam-6981	691	5	,	,	PUNCT
ejpam-6981	691	6	2025	2025	NUM
ejpam-6981	691	7	.	.	PUNCT
ejpam-6981	692	1	[	[	X
ejpam-6981	692	2	31	31	NUM
ejpam-6981	692	3	]	]	X
ejpam-6981	692	4	f.	f.	PROPN
ejpam-6981	692	5	forouzannia	forouzannia	PROPN
ejpam-6981	692	6	and	and	CCONJ
ejpam-6981	692	7	a.	a.	PROPN
ejpam-6981	692	8	gumel	gumel	PROPN
ejpam-6981	692	9	.	.	PUNCT
ejpam-6981	693	1	dynamics	dynamic	NOUN
ejpam-6981	693	2	of	of	ADP
ejpam-6981	693	3	an	an	DET
ejpam-6981	693	4	age	age	NOUN
ejpam-6981	693	5	-	-	PUNCT
ejpam-6981	693	6	structured	structure	VERB
ejpam-6981	693	7	two	two	NUM
ejpam-6981	693	8	-	-	PUNCT
ejpam-6981	693	9	strain	strain	NOUN
ejpam-6981	693	10	model	model	NOUN
ejpam-6981	693	11	for	for	ADP
ejpam-6981	693	12	malaria	malaria	NOUN
ejpam-6981	693	13	transmission	transmission	NOUN
ejpam-6981	693	14	.	.	PUNCT
ejpam-6981	694	1	applied	apply	VERB
ejpam-6981	694	2	mathematics	mathematic	NOUN
ejpam-6981	694	3	and	and	CCONJ
ejpam-6981	694	4	computation	computation	NOUN
ejpam-6981	694	5	,	,	PUNCT
ejpam-6981	694	6	250:860–886	250:860–886	NUM
ejpam-6981	694	7	,	,	PUNCT
ejpam-6981	694	8	2015	2015	NUM
ejpam-6981	694	9	.	.	PUNCT
ejpam-6981	695	1	[	[	X
ejpam-6981	695	2	32	32	NUM
ejpam-6981	695	3	]	]	SYM
ejpam-6981	695	4	unicef	unicef	PROPN
ejpam-6981	695	5	.	.	PUNCT
ejpam-6981	695	6	https://data.unicef.org/topic/child-health/malaria/.	https://data.unicef.org/topic/child-health/malaria/.	X
ejpam-6981	695	7	accessed	access	VERB
ejpam-6981	695	8	:	:	PUNCT
ejpam-6981	695	9	[	[	X
ejpam-6981	695	10	current	current	ADJ
ejpam-6981	695	11	date	date	NOUN
ejpam-6981	695	12	]	]	PUNCT
ejpam-6981	695	13	.	.	PUNCT
ejpam-6981	696	1	[	[	X
ejpam-6981	696	2	33	33	NUM
ejpam-6981	696	3	]	]	PUNCT
ejpam-6981	696	4	s.	s.	PROPN
ejpam-6981	696	5	d.	d.	PROPN
ejpam-6981	696	6	hove	hove	PROPN
ejpam-6981	696	7	-	-	PUNCT
ejpam-6981	696	8	musekwa	musekwa	PROPN
ejpam-6981	696	9	,	,	PUNCT
ejpam-6981	696	10	f.	f.	PROPN
ejpam-6981	696	11	nyabadza	nyabadza	PROPN
ejpam-6981	696	12	,	,	PUNCT
ejpam-6981	696	13	c.	c.	PROPN
ejpam-6981	696	14	chiyaka	chiyaka	PROPN
ejpam-6981	696	15	,	,	PUNCT
ejpam-6981	696	16	p.	p.	PROPN
ejpam-6981	696	17	das	das	PROPN
ejpam-6981	696	18	,	,	PUNCT
ejpam-6981	696	19	a.	a.	NOUN
ejpam-6981	696	20	tripathi	tripathi	PROPN
ejpam-6981	696	21	,	,	PUNCT
ejpam-6981	696	22	and	and	CCONJ
ejpam-6981	696	23	z.	z.	PROPN
ejpam-6981	696	24	mukandavire	mukandavire	NOUN
ejpam-6981	696	25	.	.	PUNCT
ejpam-6981	697	1	modelling	modelling	NOUN
ejpam-6981	697	2	and	and	CCONJ
ejpam-6981	697	3	analysis	analysis	NOUN
ejpam-6981	697	4	of	of	ADP
ejpam-6981	697	5	the	the	DET
ejpam-6981	697	6	effects	effect	NOUN
ejpam-6981	697	7	of	of	ADP
ejpam-6981	697	8	malnutrition	malnutrition	NOUN
ejpam-6981	697	9	in	in	ADP
ejpam-6981	697	10	the	the	DET
ejpam-6981	697	11	spread	spread	NOUN
ejpam-6981	697	12	of	of	ADP
ejpam-6981	697	13	cholera	cholera	NOUN
ejpam-6981	697	14	.	.	PUNCT
ejpam-6981	698	1	mathematical	mathematical	ADJ
ejpam-6981	698	2	and	and	CCONJ
ejpam-6981	698	3	computer	computer	NOUN
ejpam-6981	698	4	modelling	modelling	NOUN
ejpam-6981	698	5	,	,	PUNCT
ejpam-6981	698	6	53(9	53(9	NOUN
ejpam-6981	698	7	-	-	PUNCT
ejpam-6981	698	8	10):1583–1595	10):1583–1595	ADJ
ejpam-6981	698	9	,	,	PUNCT
ejpam-6981	698	10	2011	2011	NUM
ejpam-6981	698	11	.	.	PUNCT
ejpam-6981	699	1	introduction	introduction	NOUN
ejpam-6981	699	2	model	model	NOUN
ejpam-6981	699	3	information	information	NOUN
ejpam-6981	699	4	preliminaries	preliminary	NOUN
ejpam-6981	699	5	existence	existence	NOUN
ejpam-6981	699	6	and	and	CCONJ
ejpam-6981	699	7	uniqueness	uniqueness	VERB
ejpam-6981	699	8	stability	stability	NOUN
ejpam-6981	699	9	iterative	iterative	NOUN
ejpam-6981	699	10	laplace	laplace	NOUN
ejpam-6981	699	11	transform	transform	NOUN
ejpam-6981	699	12	method	method	NOUN
ejpam-6981	699	13	analysis	analysis	NOUN
ejpam-6981	699	14	of	of	ADP
ejpam-6981	699	15	iteration	iteration	NOUN
ejpam-6981	699	16	method	method	NOUN
ejpam-6981	699	17	illustration	illustration	NOUN
ejpam-6981	699	18	numerical	numerical	ADJ
ejpam-6981	699	19	results	result	NOUN
ejpam-6981	699	20	and	and	CCONJ
ejpam-6981	699	21	discussion	discussion	NOUN
ejpam-6981	699	22	conclusions	conclusion	VERB
ejpam-6981	699	23	acknowledgements	acknowledgement	NOUN