id	sid	tid	token	lemma	pos
ejpam-6820	1	1	european	european	PROPN
ejpam-6820	1	2	journal	journal	PROPN
ejpam-6820	1	3	of	of	ADP
ejpam-6820	1	4	pure	pure	ADJ
ejpam-6820	1	5	and	and	CCONJ
ejpam-6820	1	6	applied	applied	ADJ
ejpam-6820	1	7	mathematics	mathematic	NOUN
ejpam-6820	1	8	2025	2025	NUM
ejpam-6820	1	9	,	,	PUNCT
ejpam-6820	1	10	vol	vol	NOUN
ejpam-6820	1	11	.	.	PROPN
ejpam-6820	1	12	18	18	NUM
ejpam-6820	1	13	,	,	PUNCT
ejpam-6820	1	14	issue	issue	NOUN
ejpam-6820	1	15	4	4	NUM
ejpam-6820	1	16	,	,	PUNCT
ejpam-6820	1	17	article	article	NOUN
ejpam-6820	1	18	number	number	NOUN
ejpam-6820	1	19	6820	6820	NUM
ejpam-6820	1	20	issn	issn	PROPN
ejpam-6820	1	21	1307	1307	NUM
ejpam-6820	1	22	-	-	SYM
ejpam-6820	1	23	5543	5543	NUM
ejpam-6820	1	24	–	–	PUNCT
ejpam-6820	1	25	ejpam.com	ejpam.com	X
ejpam-6820	1	26	published	publish	VERB
ejpam-6820	1	27	by	by	ADP
ejpam-6820	1	28	new	new	PROPN
ejpam-6820	1	29	york	york	PROPN
ejpam-6820	1	30	business	business	PROPN
ejpam-6820	1	31	global	global	ADJ
ejpam-6820	1	32	stochastic	stochastic	ADJ
ejpam-6820	1	33	stability	stability	NOUN
ejpam-6820	1	34	and	and	CCONJ
ejpam-6820	1	35	controllability	controllability	NOUN
ejpam-6820	1	36	analysis	analysis	NOUN
ejpam-6820	1	37	of	of	ADP
ejpam-6820	1	38	impulsive	impulsive	ADJ
ejpam-6820	1	39	multi	multi	ADJ
ejpam-6820	1	40	-	-	ADJ
ejpam-6820	1	41	term	term	ADJ
ejpam-6820	1	42	fractional	fractional	ADJ
ejpam-6820	1	43	differential	differential	NOUN
ejpam-6820	1	44	system	system	NOUN
ejpam-6820	1	45	m.	m.	NOUN
ejpam-6820	1	46	lavanya1	lavanya1	PROPN
ejpam-6820	1	47	,	,	PUNCT
ejpam-6820	1	48	b.	b.	PROPN
ejpam-6820	1	49	sundara	sundara	PROPN
ejpam-6820	1	50	vadivoo2	vadivoo2	PROPN
ejpam-6820	1	51	,	,	PUNCT
ejpam-6820	1	52	ibrahim	ibrahim	PROPN
ejpam-6820	1	53	alraddadi3,∗	alraddadi3,∗	PROPN
ejpam-6820	1	54	,	,	PUNCT
ejpam-6820	1	55	dragan	dragan	VERB
ejpam-6820	1	56	pamucar4,∗	pamucar4,∗	NOUN
ejpam-6820	1	57	,	,	PUNCT
ejpam-6820	1	58	osama	osama	PROPN
ejpam-6820	1	59	oqilat5	oqilat5	NOUN
ejpam-6820	1	60	,	,	PUNCT
ejpam-6820	1	61	hijaz	hijaz	PROPN
ejpam-6820	1	62	ahmad6,3,7,8	ahmad6,3,7,8	AUX
ejpam-6820	1	63	1	1	NUM
ejpam-6820	1	64	department	department	NOUN
ejpam-6820	1	65	of	of	ADP
ejpam-6820	1	66	mathematics	mathematic	NOUN
ejpam-6820	1	67	,	,	PUNCT
ejpam-6820	1	68	alagappa	alagappa	PROPN
ejpam-6820	1	69	university	university	PROPN
ejpam-6820	1	70	,	,	PUNCT
ejpam-6820	1	71	karaikudi-630	karaikudi-630	PROPN
ejpam-6820	1	72	004	004	NUM
ejpam-6820	1	73	,	,	PUNCT
ejpam-6820	1	74	india	india	PROPN
ejpam-6820	1	75	2	2	NUM
ejpam-6820	1	76	department	department	NOUN
ejpam-6820	1	77	of	of	ADP
ejpam-6820	1	78	mathematics	mathematic	NOUN
ejpam-6820	1	79	,	,	PUNCT
ejpam-6820	1	80	central	central	ADJ
ejpam-6820	1	81	university	university	PROPN
ejpam-6820	1	82	of	of	ADP
ejpam-6820	1	83	tamil	tamil	PROPN
ejpam-6820	1	84	nadu	nadu	PROPN
ejpam-6820	1	85	,	,	PUNCT
ejpam-6820	1	86	thiruvarur-610	thiruvarur-610	NOUN
ejpam-6820	1	87	005	005	NUM
ejpam-6820	1	88	,	,	PUNCT
ejpam-6820	1	89	india	india	PROPN
ejpam-6820	1	90	3	3	PROPN
ejpam-6820	1	91	department	department	NOUN
ejpam-6820	1	92	of	of	ADP
ejpam-6820	1	93	mathematics	mathematic	NOUN
ejpam-6820	1	94	,	,	PUNCT
ejpam-6820	1	95	faculty	faculty	NOUN
ejpam-6820	1	96	of	of	ADP
ejpam-6820	1	97	science	science	NOUN
ejpam-6820	1	98	,	,	PUNCT
ejpam-6820	1	99	islamic	islamic	PROPN
ejpam-6820	1	100	university	university	PROPN
ejpam-6820	1	101	of	of	ADP
ejpam-6820	1	102	madinah	madinah	PROPN
ejpam-6820	1	103	,	,	PUNCT
ejpam-6820	1	104	madinah	madinah	PROPN
ejpam-6820	1	105	,	,	PUNCT
ejpam-6820	1	106	saudi	saudi	PROPN
ejpam-6820	1	107	arabia	arabia	PROPN
ejpam-6820	1	108	4	4	NUM
ejpam-6820	1	109	széchenyi	széchenyi	PROPN
ejpam-6820	1	110	istván	istván	PROPN
ejpam-6820	1	111	university	university	PROPN
ejpam-6820	1	112	,	,	PUNCT
ejpam-6820	1	113	győr	győr	PROPN
ejpam-6820	1	114	,	,	PUNCT
ejpam-6820	1	115	hungary	hungary	PROPN
ejpam-6820	1	116	5	5	NUM
ejpam-6820	1	117	department	department	NOUN
ejpam-6820	1	118	of	of	ADP
ejpam-6820	1	119	basic	basic	ADJ
ejpam-6820	1	120	sciences	science	NOUN
ejpam-6820	1	121	,	,	PUNCT
ejpam-6820	1	122	faculty	faculty	NOUN
ejpam-6820	1	123	of	of	ADP
ejpam-6820	1	124	arts	art	NOUN
ejpam-6820	1	125	and	and	CCONJ
ejpam-6820	1	126	science	science	NOUN
ejpam-6820	1	127	,	,	PUNCT
ejpam-6820	1	128	hourani	hourani	NOUN
ejpam-6820	1	129	center	center	NOUN
ejpam-6820	1	130	for	for	ADP
ejpam-6820	1	131	applied	apply	VERB
ejpam-6820	1	132	scientific	scientific	ADJ
ejpam-6820	1	133	research	research	NOUN
ejpam-6820	1	134	,	,	PUNCT
ejpam-6820	1	135	al	al	PROPN
ejpam-6820	1	136	-	-	PUNCT
ejpam-6820	1	137	ahliyya	ahliyya	PROPN
ejpam-6820	1	138	amman	amman	PROPN
ejpam-6820	1	139	university	university	PROPN
ejpam-6820	1	140	,	,	PUNCT
ejpam-6820	1	141	amman	amman	PROPN
ejpam-6820	1	142	,	,	PUNCT
ejpam-6820	1	143	jordan	jordan	PROPN
ejpam-6820	1	144	6	6	NUM
ejpam-6820	1	145	operational	operational	ADJ
ejpam-6820	1	146	research	research	NOUN
ejpam-6820	1	147	center	center	NOUN
ejpam-6820	1	148	in	in	ADP
ejpam-6820	1	149	healthcare	healthcare	PROPN
ejpam-6820	1	150	,	,	PUNCT
ejpam-6820	1	151	near	near	ADP
ejpam-6820	1	152	east	east	PROPN
ejpam-6820	1	153	university	university	PROPN
ejpam-6820	1	154	,	,	PUNCT
ejpam-6820	1	155	nicosia	nicosia	PROPN
ejpam-6820	1	156	/	/	SYM
ejpam-6820	1	157	trnc	trnc	PROPN
ejpam-6820	1	158	,	,	PUNCT
ejpam-6820	1	159	99138	99138	NUM
ejpam-6820	1	160	mersin	mersin	PROPN
ejpam-6820	1	161	10	10	NUM
ejpam-6820	1	162	,	,	PUNCT
ejpam-6820	1	163	turkey	turkey	PROPN
ejpam-6820	1	164	7	7	NUM
ejpam-6820	1	165	vizja	vizja	PROPN
ejpam-6820	1	166	university	university	NOUN
ejpam-6820	1	167	,	,	PUNCT
ejpam-6820	1	168	okopowa	okopowa	VERB
ejpam-6820	1	169	59	59	NUM
ejpam-6820	1	170	,	,	PUNCT
ejpam-6820	1	171	01	01	NUM
ejpam-6820	1	172	-	-	PUNCT
ejpam-6820	1	173	043	043	NUM
ejpam-6820	1	174	warsaw	warsaw	PROPN
ejpam-6820	1	175	,	,	PUNCT
ejpam-6820	1	176	poland	poland	PROPN
ejpam-6820	1	177	8	8	NUM
ejpam-6820	1	178	department	department	NOUN
ejpam-6820	1	179	of	of	ADP
ejpam-6820	1	180	mathematics	mathematic	NOUN
ejpam-6820	1	181	,	,	PUNCT
ejpam-6820	1	182	college	college	NOUN
ejpam-6820	1	183	of	of	ADP
ejpam-6820	1	184	science	science	PROPN
ejpam-6820	1	185	,	,	PUNCT
ejpam-6820	1	186	korea	korea	PROPN
ejpam-6820	1	187	university	university	PROPN
ejpam-6820	1	188	,	,	PUNCT
ejpam-6820	1	189	145	145	NUM
ejpam-6820	1	190	anam	anam	PROPN
ejpam-6820	1	191	-	-	PUNCT
ejpam-6820	1	192	ro	ro	ADJ
ejpam-6820	1	193	,	,	PUNCT
ejpam-6820	1	194	seongbuk	seongbuk	NOUN
ejpam-6820	1	195	-	-	PUNCT
ejpam-6820	1	196	gu	gu	NOUN
ejpam-6820	1	197	,	,	PUNCT
ejpam-6820	1	198	seoul	seoul	PROPN
ejpam-6820	1	199	02841	02841	PROPN
ejpam-6820	1	200	,	,	PUNCT
ejpam-6820	1	201	south	south	PROPN
ejpam-6820	1	202	korea	korea	PROPN
ejpam-6820	1	203	abstract	abstract	NOUN
ejpam-6820	1	204	.	.	PUNCT
ejpam-6820	2	1	this	this	DET
ejpam-6820	2	2	study	study	NOUN
ejpam-6820	2	3	investigates	investigate	VERB
ejpam-6820	2	4	the	the	DET
ejpam-6820	2	5	existence	existence	NOUN
ejpam-6820	2	6	,	,	PUNCT
ejpam-6820	2	7	stability	stability	NOUN
ejpam-6820	2	8	,	,	PUNCT
ejpam-6820	2	9	and	and	CCONJ
ejpam-6820	2	10	controllability	controllability	NOUN
ejpam-6820	2	11	of	of	ADP
ejpam-6820	2	12	multi	multi	ADJ
ejpam-6820	2	13	-	-	ADJ
ejpam-6820	2	14	term	term	ADJ
ejpam-6820	2	15	stochastic	stochastic	ADJ
ejpam-6820	2	16	fractional	fractional	ADJ
ejpam-6820	2	17	impulsive	impulsive	ADJ
ejpam-6820	2	18	differential	differential	ADJ
ejpam-6820	2	19	equations	equation	NOUN
ejpam-6820	2	20	.	.	PUNCT
ejpam-6820	3	1	by	by	ADP
ejpam-6820	3	2	employing	employ	VERB
ejpam-6820	3	3	the	the	DET
ejpam-6820	3	4	contraction	contraction	NOUN
ejpam-6820	3	5	mapping	mapping	NOUN
ejpam-6820	3	6	principle	principle	NOUN
ejpam-6820	3	7	,	,	PUNCT
ejpam-6820	3	8	sufficient	sufficient	ADJ
ejpam-6820	3	9	conditions	condition	NOUN
ejpam-6820	3	10	ensuring	ensure	VERB
ejpam-6820	3	11	stochastic	stochastic	ADJ
ejpam-6820	3	12	stability	stability	NOUN
ejpam-6820	3	13	are	be	AUX
ejpam-6820	3	14	rigorously	rigorously	ADV
ejpam-6820	3	15	established	establish	VERB
ejpam-6820	3	16	.	.	PUNCT
ejpam-6820	4	1	two	two	NUM
ejpam-6820	4	2	classes	class	NOUN
ejpam-6820	4	3	of	of	ADP
ejpam-6820	4	4	systems	system	NOUN
ejpam-6820	4	5	—	—	PUNCT
ejpam-6820	4	6	linear	linear	ADJ
ejpam-6820	4	7	and	and	CCONJ
ejpam-6820	4	8	nonlinear	nonlinear	NOUN
ejpam-6820	4	9	are	be	AUX
ejpam-6820	4	10	analyzed	analyze	VERB
ejpam-6820	4	11	in	in	ADP
ejpam-6820	4	12	detail	detail	NOUN
ejpam-6820	4	13	.	.	PUNCT
ejpam-6820	5	1	furthermore	furthermore	ADV
ejpam-6820	5	2	,	,	PUNCT
ejpam-6820	5	3	the	the	DET
ejpam-6820	5	4	controllability	controllability	NOUN
ejpam-6820	5	5	of	of	ADP
ejpam-6820	5	6	these	these	DET
ejpam-6820	5	7	systems	system	NOUN
ejpam-6820	5	8	is	be	AUX
ejpam-6820	5	9	demonstrated	demonstrate	VERB
ejpam-6820	5	10	using	use	VERB
ejpam-6820	5	11	the	the	DET
ejpam-6820	5	12	gramian	gramian	ADJ
ejpam-6820	5	13	operator	operator	NOUN
ejpam-6820	5	14	approach	approach	NOUN
ejpam-6820	5	15	.	.	PUNCT
ejpam-6820	6	1	to	to	PART
ejpam-6820	6	2	validate	validate	VERB
ejpam-6820	6	3	the	the	DET
ejpam-6820	6	4	theoretical	theoretical	ADJ
ejpam-6820	6	5	findings	finding	NOUN
ejpam-6820	6	6	,	,	PUNCT
ejpam-6820	6	7	numerical	numerical	ADJ
ejpam-6820	6	8	simulations	simulation	NOUN
ejpam-6820	6	9	are	be	AUX
ejpam-6820	6	10	performed	perform	VERB
ejpam-6820	6	11	in	in	ADP
ejpam-6820	6	12	matlab	matlab	PROPN
ejpam-6820	6	13	,	,	PUNCT
ejpam-6820	6	14	illustrating	illustrate	VERB
ejpam-6820	6	15	the	the	DET
ejpam-6820	6	16	effectiveness	effectiveness	NOUN
ejpam-6820	6	17	and	and	CCONJ
ejpam-6820	6	18	applicability	applicability	NOUN
ejpam-6820	6	19	of	of	ADP
ejpam-6820	6	20	the	the	DET
ejpam-6820	6	21	proposed	propose	VERB
ejpam-6820	6	22	results	result	NOUN
ejpam-6820	6	23	.	.	PUNCT
ejpam-6820	7	1	2020	2020	NUM
ejpam-6820	7	2	mathematics	mathematic	NOUN
ejpam-6820	7	3	subject	subject	NOUN
ejpam-6820	7	4	classifications	classification	NOUN
ejpam-6820	7	5	:	:	PUNCT
ejpam-6820	7	6	26a33	26a33	NUM
ejpam-6820	7	7	,	,	PUNCT
ejpam-6820	7	8	44a10	44a10	NUM
ejpam-6820	7	9	,	,	PUNCT
ejpam-6820	7	10	60h20	60h20	NUM
ejpam-6820	7	11	,	,	PUNCT
ejpam-6820	7	12	93e03	93e03	NUM
ejpam-6820	7	13	,	,	PUNCT
ejpam-6820	7	14	93e15	93e15	NUM
ejpam-6820	7	15	key	key	ADJ
ejpam-6820	7	16	words	word	NOUN
ejpam-6820	7	17	and	and	CCONJ
ejpam-6820	7	18	phrases	phrase	NOUN
ejpam-6820	7	19	:	:	PUNCT
ejpam-6820	7	20	stochastic	stochastic	ADJ
ejpam-6820	7	21	impulsive	impulsive	ADJ
ejpam-6820	7	22	systems	system	NOUN
ejpam-6820	7	23	,	,	PUNCT
ejpam-6820	7	24	multi	multi	ADJ
ejpam-6820	7	25	-	-	ADJ
ejpam-6820	7	26	term	term	ADJ
ejpam-6820	7	27	fractional	fractional	ADJ
ejpam-6820	7	28	derivative	derivative	NOUN
ejpam-6820	7	29	,	,	PUNCT
ejpam-6820	7	30	laplace	laplace	NOUN
ejpam-6820	7	31	transform	transform	NOUN
ejpam-6820	7	32	,	,	PUNCT
ejpam-6820	7	33	stochastic	stochastic	ADJ
ejpam-6820	7	34	stability	stability	NOUN
ejpam-6820	7	35	,	,	PUNCT
ejpam-6820	7	36	controllability	controllability	NOUN
ejpam-6820	7	37	,	,	PUNCT
ejpam-6820	7	38	rosenblatt	rosenblatt	NOUN
ejpam-6820	7	39	process	process	NOUN
ejpam-6820	7	40	∗corresponding	∗corresponde	VERB
ejpam-6820	7	41	author	author	NOUN
ejpam-6820	7	42	.	.	PUNCT
ejpam-6820	8	1	∗corresponding	∗corresponde	VERB
ejpam-6820	8	2	author	author	NOUN
ejpam-6820	8	3	.	.	PUNCT
ejpam-6820	9	1	doi	doi	NOUN
ejpam-6820	9	2	:	:	PUNCT
ejpam-6820	9	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6820	https://doi.org/10.29020/nybg.ejpam.v18i4.6820	NOUN
ejpam-6820	9	4	email	email	NOUN
ejpam-6820	9	5	addresses	address	NOUN
ejpam-6820	9	6	:	:	PUNCT
ejpam-6820	9	7	lavanyamuruganantham1997s@gmail.com	lavanyamuruganantham1997s@gmail.com	X
ejpam-6820	9	8	(	(	PUNCT
ejpam-6820	9	9	m.	m.	NOUN
ejpam-6820	9	10	lavanya	lavanya	NOUN
ejpam-6820	9	11	)	)	PUNCT
ejpam-6820	9	12	,	,	PUNCT
ejpam-6820	9	13	bsundaravadivoo@gmail.com	bsundaravadivoo@gmail.com	X
ejpam-6820	9	14	(	(	PUNCT
ejpam-6820	9	15	b.	b.	PROPN
ejpam-6820	9	16	s.	s.	PROPN
ejpam-6820	9	17	vadivoo	vadivoo	PROPN
ejpam-6820	9	18	)	)	PUNCT
ejpam-6820	9	19	,	,	PUNCT
ejpam-6820	9	20	ialraddadi@iu.edu.sa	ialraddadi@iu.edu.sa	PROPN
ejpam-6820	9	21	(	(	PUNCT
ejpam-6820	9	22	i.	i.	NOUN
ejpam-6820	9	23	alraddadi	alraddadi	PROPN
ejpam-6820	9	24	)	)	PUNCT
ejpam-6820	9	25	,	,	PUNCT
ejpam-6820	9	26	pamucar.dragan@sze.hu	pamucar.dragan@sze.hu	PROPN
ejpam-6820	9	27	(	(	PUNCT
ejpam-6820	9	28	d.	d.	PROPN
ejpam-6820	9	29	pamucar	pamucar	PROPN
ejpam-6820	9	30	)	)	PUNCT
ejpam-6820	9	31	,	,	PUNCT
ejpam-6820	9	32	o.oqilat@ammanu.edu.jo	o.oqilat@ammanu.edu.jo	NOUN
ejpam-6820	9	33	(	(	PUNCT
ejpam-6820	9	34	o.	o.	NOUN
ejpam-6820	9	35	oqilat	oqilat	NOUN
ejpam-6820	9	36	)	)	PUNCT
ejpam-6820	9	37	,	,	PUNCT
ejpam-6820	9	38	hijazahmad@korea.ac.kr	hijazahmad@korea.ac.kr	PROPN
ejpam-6820	9	39	(	(	PUNCT
ejpam-6820	9	40	h.	h.	PROPN
ejpam-6820	9	41	ahmad	ahmad	PROPN
ejpam-6820	9	42	)	)	PUNCT
ejpam-6820	9	43	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6820	10	1	1	1	NUM
ejpam-6820	10	2	copyright	copyright	NOUN
ejpam-6820	10	3	:	:	PUNCT
ejpam-6820	10	4	©	©	PROPN
ejpam-6820	10	5	2025	2025	NUM
ejpam-6820	10	6	the	the	DET
ejpam-6820	10	7	author(s	author(s	NOUN
ejpam-6820	10	8	)	)	PUNCT
ejpam-6820	10	9	.	.	PUNCT
ejpam-6820	11	1	(	(	PUNCT
ejpam-6820	11	2	cc	cc	NOUN
ejpam-6820	11	3	by	by	ADP
ejpam-6820	11	4	-	-	PUNCT
ejpam-6820	11	5	nc	nc	PROPN
ejpam-6820	11	6	4.0	4.0	NUM
ejpam-6820	11	7	)	)	PUNCT
ejpam-6820	11	8	m.	m.	NOUN
ejpam-6820	11	9	lavanya	lavanya	NOUN
ejpam-6820	11	10	et	et	PROPN
ejpam-6820	11	11	al	al	PROPN
ejpam-6820	11	12	.	.	PUNCT
ejpam-6820	11	13	/	/	SYM
ejpam-6820	11	14	eur	eur	PROPN
ejpam-6820	11	15	.	.	PUNCT
ejpam-6820	12	1	j.	j.	PROPN
ejpam-6820	12	2	pure	pure	PROPN
ejpam-6820	12	3	appl	appl	PROPN
ejpam-6820	12	4	.	.	PROPN
ejpam-6820	12	5	math	math	PROPN
ejpam-6820	12	6	,	,	PUNCT
ejpam-6820	12	7	18	18	NUM
ejpam-6820	12	8	(	(	PUNCT
ejpam-6820	12	9	4	4	NUM
ejpam-6820	12	10	)	)	PUNCT
ejpam-6820	12	11	(	(	PUNCT
ejpam-6820	12	12	2025	2025	NUM
ejpam-6820	12	13	)	)	PUNCT
ejpam-6820	12	14	,	,	PUNCT
ejpam-6820	12	15	6820	6820	NUM
ejpam-6820	12	16	2	2	NUM
ejpam-6820	12	17	of	of	ADP
ejpam-6820	12	18	20	20	NUM
ejpam-6820	12	19	1	1	NUM
ejpam-6820	12	20	.	.	PUNCT
ejpam-6820	13	1	introduction	introduction	NOUN
ejpam-6820	13	2	fractional	fractional	ADJ
ejpam-6820	13	3	stochastic	stochastic	ADJ
ejpam-6820	13	4	differential	differential	ADJ
ejpam-6820	13	5	equations	equation	NOUN
ejpam-6820	13	6	(	(	PUNCT
ejpam-6820	13	7	fsdes	fsdes	PROPN
ejpam-6820	13	8	)	)	PUNCT
ejpam-6820	13	9	combine	combine	VERB
ejpam-6820	13	10	the	the	DET
ejpam-6820	13	11	concepts	concept	NOUN
ejpam-6820	13	12	of	of	ADP
ejpam-6820	13	13	fractional	fractional	ADJ
ejpam-6820	13	14	calculus	calculus	NOUN
ejpam-6820	13	15	and	and	CCONJ
ejpam-6820	13	16	stochastic	stochastic	ADJ
ejpam-6820	13	17	processes	process	NOUN
ejpam-6820	13	18	.	.	PUNCT
ejpam-6820	14	1	they	they	PRON
ejpam-6820	14	2	extend	extend	VERB
ejpam-6820	14	3	the	the	DET
ejpam-6820	14	4	classical	classical	ADJ
ejpam-6820	14	5	theory	theory	NOUN
ejpam-6820	14	6	of	of	ADP
ejpam-6820	14	7	stochastic	stochastic	ADJ
ejpam-6820	14	8	differential	differential	ADJ
ejpam-6820	14	9	equations	equation	NOUN
ejpam-6820	14	10	(	(	PUNCT
ejpam-6820	14	11	sdes	sde	NOUN
ejpam-6820	14	12	)	)	PUNCT
ejpam-6820	14	13	by	by	ADP
ejpam-6820	14	14	introducing	introduce	VERB
ejpam-6820	14	15	fractional	fractional	ADJ
ejpam-6820	14	16	derivatives	derivative	NOUN
ejpam-6820	14	17	,	,	PUNCT
ejpam-6820	14	18	which	which	PRON
ejpam-6820	14	19	capture	capture	VERB
ejpam-6820	14	20	non	non	ADJ
ejpam-6820	14	21	-	-	ADJ
ejpam-6820	14	22	local	local	ADJ
ejpam-6820	14	23	and	and	CCONJ
ejpam-6820	14	24	memory	memory	NOUN
ejpam-6820	14	25	-	-	PUNCT
ejpam-6820	14	26	dependent	dependent	ADJ
ejpam-6820	14	27	behaviors	behavior	NOUN
ejpam-6820	14	28	in	in	ADP
ejpam-6820	14	29	the	the	DET
ejpam-6820	14	30	underlying	underlie	VERB
ejpam-6820	14	31	stochastic	stochastic	NOUN
ejpam-6820	14	32	processes	process	NOUN
ejpam-6820	14	33	.	.	PUNCT
ejpam-6820	15	1	fsdes	fsde	NOUN
ejpam-6820	15	2	are	be	AUX
ejpam-6820	15	3	employed	employ	VERB
ejpam-6820	15	4	to	to	ADP
ejpam-6820	15	5	model	model	NOUN
ejpam-6820	15	6	systems	system	NOUN
ejpam-6820	15	7	in	in	ADP
ejpam-6820	15	8	which	which	PRON
ejpam-6820	15	9	both	both	CCONJ
ejpam-6820	15	10	randomness	randomness	NOUN
ejpam-6820	15	11	and	and	CCONJ
ejpam-6820	15	12	fractional	fractional	ADJ
ejpam-6820	15	13	dynamics	dynamic	NOUN
ejpam-6820	15	14	play	play	VERB
ejpam-6820	15	15	significant	significant	ADJ
ejpam-6820	15	16	roles	role	NOUN
ejpam-6820	15	17	.	.	PUNCT
ejpam-6820	16	1	recent	recent	ADJ
ejpam-6820	16	2	studies	study	NOUN
ejpam-6820	16	3	have	have	AUX
ejpam-6820	16	4	developed	develop	VERB
ejpam-6820	16	5	efficient	efficient	ADJ
ejpam-6820	16	6	analytical	analytical	ADJ
ejpam-6820	16	7	and	and	CCONJ
ejpam-6820	16	8	numerical	numerical	ADJ
ejpam-6820	16	9	approaches	approach	NOUN
ejpam-6820	16	10	for	for	ADP
ejpam-6820	16	11	solving	solve	VERB
ejpam-6820	16	12	such	such	ADJ
ejpam-6820	16	13	equations	equation	NOUN
ejpam-6820	16	14	,	,	PUNCT
ejpam-6820	16	15	including	include	VERB
ejpam-6820	16	16	shooting	shoot	VERB
ejpam-6820	16	17	methods	method	NOUN
ejpam-6820	16	18	,	,	PUNCT
ejpam-6820	16	19	bilinear	bilinear	NOUN
ejpam-6820	16	20	time	time	NOUN
ejpam-6820	16	21	-	-	PUNCT
ejpam-6820	16	22	series	series	NOUN
ejpam-6820	16	23	frameworks	framework	NOUN
ejpam-6820	16	24	,	,	PUNCT
ejpam-6820	16	25	and	and	CCONJ
ejpam-6820	16	26	fractional	fractional	ADJ
ejpam-6820	16	27	wave	wave	NOUN
ejpam-6820	16	28	-	-	PUNCT
ejpam-6820	16	29	based	base	VERB
ejpam-6820	16	30	models	model	NOUN
ejpam-6820	16	31	[	[	X
ejpam-6820	16	32	1–3	1–3	NOUN
ejpam-6820	16	33	]	]	X
ejpam-6820	16	34	.	.	PUNCT
ejpam-6820	17	1	these	these	DET
ejpam-6820	17	2	advances	advance	NOUN
ejpam-6820	17	3	demonstrate	demonstrate	VERB
ejpam-6820	17	4	the	the	DET
ejpam-6820	17	5	versatility	versatility	NOUN
ejpam-6820	17	6	of	of	ADP
ejpam-6820	17	7	fsdes	fsde	NOUN
ejpam-6820	17	8	in	in	ADP
ejpam-6820	17	9	modeling	model	VERB
ejpam-6820	17	10	complex	complex	ADJ
ejpam-6820	17	11	systems	system	NOUN
ejpam-6820	17	12	that	that	PRON
ejpam-6820	17	13	exhibit	exhibit	VERB
ejpam-6820	17	14	both	both	CCONJ
ejpam-6820	17	15	stochastic	stochastic	ADJ
ejpam-6820	17	16	and	and	CCONJ
ejpam-6820	17	17	long	long	ADJ
ejpam-6820	17	18	-	-	PUNCT
ejpam-6820	17	19	memory	memory	NOUN
ejpam-6820	17	20	characteristics	characteristic	NOUN
ejpam-6820	17	21	.	.	PUNCT
ejpam-6820	18	1	their	their	PRON
ejpam-6820	18	2	applications	application	NOUN
ejpam-6820	18	3	span	span	VERB
ejpam-6820	18	4	multiple	multiple	ADJ
ejpam-6820	18	5	disciplines	discipline	NOUN
ejpam-6820	18	6	and	and	CCONJ
ejpam-6820	18	7	contribute	contribute	VERB
ejpam-6820	18	8	to	to	ADP
ejpam-6820	18	9	a	a	DET
ejpam-6820	18	10	deeper	deep	ADJ
ejpam-6820	18	11	understanding	understanding	NOUN
ejpam-6820	18	12	of	of	ADP
ejpam-6820	18	13	processes	process	NOUN
ejpam-6820	18	14	with	with	ADP
ejpam-6820	18	15	intricate	intricate	ADJ
ejpam-6820	18	16	dynamical	dynamical	ADJ
ejpam-6820	18	17	behaviors	behavior	NOUN
ejpam-6820	18	18	.	.	PUNCT
ejpam-6820	19	1	as	as	SCONJ
ejpam-6820	19	2	technology	technology	NOUN
ejpam-6820	19	3	and	and	CCONJ
ejpam-6820	19	4	research	research	NOUN
ejpam-6820	19	5	continue	continue	VERB
ejpam-6820	19	6	to	to	PART
ejpam-6820	19	7	evolve	evolve	VERB
ejpam-6820	19	8	,	,	PUNCT
ejpam-6820	19	9	fsdes	fsde	NOUN
ejpam-6820	19	10	are	be	AUX
ejpam-6820	19	11	expected	expect	VERB
ejpam-6820	19	12	to	to	PART
ejpam-6820	19	13	find	find	VERB
ejpam-6820	19	14	broader	broad	ADJ
ejpam-6820	19	15	and	and	CCONJ
ejpam-6820	19	16	more	more	ADV
ejpam-6820	19	17	innovative	innovative	ADJ
ejpam-6820	19	18	applications	application	NOUN
ejpam-6820	19	19	across	across	ADP
ejpam-6820	19	20	various	various	ADJ
ejpam-6820	19	21	scientific	scientific	ADJ
ejpam-6820	19	22	and	and	CCONJ
ejpam-6820	19	23	engineering	engineering	NOUN
ejpam-6820	19	24	domains	domain	NOUN
ejpam-6820	19	25	(	(	PUNCT
ejpam-6820	19	26	see	see	VERB
ejpam-6820	19	27	also	also	ADV
ejpam-6820	19	28	[	[	X
ejpam-6820	19	29	4–7	4–7	NOUN
ejpam-6820	19	30	]	]	X
ejpam-6820	19	31	)	)	PUNCT
ejpam-6820	19	32	.	.	PUNCT
ejpam-6820	20	1	the	the	DET
ejpam-6820	20	2	caputo	caputo	PROPN
ejpam-6820	20	3	fractional	fractional	PROPN
ejpam-6820	20	4	derivative	derivative	NOUN
ejpam-6820	20	5	is	be	AUX
ejpam-6820	20	6	commonly	commonly	ADV
ejpam-6820	20	7	used	use	VERB
ejpam-6820	20	8	to	to	PART
ejpam-6820	20	9	extend	extend	VERB
ejpam-6820	20	10	the	the	DET
ejpam-6820	20	11	concept	concept	NOUN
ejpam-6820	20	12	of	of	ADP
ejpam-6820	20	13	differentiation	differentiation	NOUN
ejpam-6820	20	14	to	to	ADP
ejpam-6820	20	15	non	non	ADJ
ejpam-6820	20	16	-	-	ADJ
ejpam-6820	20	17	integer	integer	ADJ
ejpam-6820	20	18	orders	order	NOUN
ejpam-6820	20	19	.	.	PUNCT
ejpam-6820	21	1	it	it	PRON
ejpam-6820	21	2	provides	provide	VERB
ejpam-6820	21	3	a	a	DET
ejpam-6820	21	4	practical	practical	ADJ
ejpam-6820	21	5	means	mean	NOUN
ejpam-6820	21	6	of	of	ADP
ejpam-6820	21	7	describing	describe	VERB
ejpam-6820	21	8	fractional	fractional	ADJ
ejpam-6820	21	9	-	-	PUNCT
ejpam-6820	21	10	order	order	NOUN
ejpam-6820	21	11	dynamics	dynamic	NOUN
ejpam-6820	21	12	,	,	PUNCT
ejpam-6820	21	13	being	be	AUX
ejpam-6820	21	14	defined	define	VERB
ejpam-6820	21	15	as	as	ADP
ejpam-6820	21	16	a	a	DET
ejpam-6820	21	17	combination	combination	NOUN
ejpam-6820	21	18	of	of	ADP
ejpam-6820	21	19	the	the	DET
ejpam-6820	21	20	classical	classical	ADJ
ejpam-6820	21	21	derivative	derivative	NOUN
ejpam-6820	21	22	and	and	CCONJ
ejpam-6820	21	23	the	the	DET
ejpam-6820	21	24	riemann	riemann	PROPN
ejpam-6820	21	25	–	–	PUNCT
ejpam-6820	21	26	liouville	liouville	VERB
ejpam-6820	21	27	fractional	fractional	ADJ
ejpam-6820	21	28	integral	integral	ADJ
ejpam-6820	21	29	.	.	PUNCT
ejpam-6820	22	1	a	a	DET
ejpam-6820	22	2	multi	multi	ADJ
ejpam-6820	22	3	-	-	ADJ
ejpam-6820	22	4	term	term	ADJ
ejpam-6820	22	5	caputo	caputo	PROPN
ejpam-6820	22	6	fractional	fractional	PROPN
ejpam-6820	22	7	derivative	derivative	PROPN
ejpam-6820	22	8	extends	extend	VERB
ejpam-6820	22	9	this	this	DET
ejpam-6820	22	10	concept	concept	NOUN
ejpam-6820	22	11	by	by	ADP
ejpam-6820	22	12	considering	consider	VERB
ejpam-6820	22	13	a	a	DET
ejpam-6820	22	14	sum	sum	NOUN
ejpam-6820	22	15	of	of	ADP
ejpam-6820	22	16	multiple	multiple	ADJ
ejpam-6820	22	17	terms	term	NOUN
ejpam-6820	22	18	,	,	PUNCT
ejpam-6820	22	19	each	each	PRON
ejpam-6820	22	20	involving	involve	VERB
ejpam-6820	22	21	a	a	DET
ejpam-6820	22	22	caputo	caputo	PROPN
ejpam-6820	22	23	fractional	fractional	PROPN
ejpam-6820	22	24	derivative	derivative	NOUN
ejpam-6820	22	25	with	with	ADP
ejpam-6820	22	26	different	different	ADJ
ejpam-6820	22	27	orders	order	NOUN
ejpam-6820	22	28	and	and	CCONJ
ejpam-6820	22	29	weights	weight	NOUN
ejpam-6820	22	30	.	.	PUNCT
ejpam-6820	23	1	this	this	PRON
ejpam-6820	23	2	can	can	AUX
ejpam-6820	23	3	lead	lead	VERB
ejpam-6820	23	4	to	to	ADP
ejpam-6820	23	5	more	more	ADV
ejpam-6820	23	6	flexible	flexible	ADJ
ejpam-6820	23	7	and	and	CCONJ
ejpam-6820	23	8	accurate	accurate	ADJ
ejpam-6820	23	9	modeling	modeling	NOUN
ejpam-6820	23	10	of	of	ADP
ejpam-6820	23	11	complex	complex	ADJ
ejpam-6820	23	12	systems	system	NOUN
ejpam-6820	23	13	that	that	PRON
ejpam-6820	23	14	exhibit	exhibit	VERB
ejpam-6820	23	15	a	a	DET
ejpam-6820	23	16	combination	combination	NOUN
ejpam-6820	23	17	of	of	ADP
ejpam-6820	23	18	different	different	ADJ
ejpam-6820	23	19	fractional	fractional	ADJ
ejpam-6820	23	20	-	-	PUNCT
ejpam-6820	23	21	order	order	NOUN
ejpam-6820	23	22	behaviors	behavior	NOUN
ejpam-6820	23	23	.	.	PUNCT
ejpam-6820	24	1	in	in	ADP
ejpam-6820	24	2	materials	material	NOUN
ejpam-6820	24	3	science	science	NOUN
ejpam-6820	24	4	and	and	CCONJ
ejpam-6820	24	5	engineering	engineering	NOUN
ejpam-6820	24	6	,	,	PUNCT
ejpam-6820	24	7	viscoelastic	viscoelastic	ADJ
ejpam-6820	24	8	materials	material	NOUN
ejpam-6820	24	9	exhibit	exhibit	VERB
ejpam-6820	24	10	time	time	NOUN
ejpam-6820	24	11	-	-	PUNCT
ejpam-6820	24	12	dependent	dependent	ADJ
ejpam-6820	24	13	responses	response	NOUN
ejpam-6820	24	14	that	that	PRON
ejpam-6820	24	15	can	can	AUX
ejpam-6820	24	16	be	be	AUX
ejpam-6820	24	17	characterized	characterize	VERB
ejpam-6820	24	18	by	by	ADP
ejpam-6820	24	19	fractional	fractional	ADJ
ejpam-6820	24	20	calculus	calculus	NOUN
ejpam-6820	24	21	.	.	PUNCT
ejpam-6820	25	1	multi	multi	ADJ
ejpam-6820	25	2	-	-	ADJ
ejpam-6820	25	3	term	term	ADJ
ejpam-6820	25	4	caputo	caputo	PROPN
ejpam-6820	25	5	fractional	fractional	ADJ
ejpam-6820	25	6	derivatives	derivative	NOUN
ejpam-6820	25	7	can	can	AUX
ejpam-6820	25	8	model	model	VERB
ejpam-6820	25	9	viscoelastic	viscoelastic	ADJ
ejpam-6820	25	10	materials	material	NOUN
ejpam-6820	25	11	with	with	ADP
ejpam-6820	25	12	different	different	ADJ
ejpam-6820	25	13	relaxation	relaxation	NOUN
ejpam-6820	25	14	times	time	NOUN
ejpam-6820	25	15	and	and	CCONJ
ejpam-6820	25	16	memory	memory	NOUN
ejpam-6820	25	17	effects	effect	NOUN
ejpam-6820	25	18	.	.	PUNCT
ejpam-6820	26	1	multi	multi	ADJ
ejpam-6820	26	2	-	-	ADJ
ejpam-6820	26	3	term	term	ADJ
ejpam-6820	26	4	fractional	fractional	ADJ
ejpam-6820	26	5	derivatives	derivative	NOUN
ejpam-6820	26	6	can	can	AUX
ejpam-6820	26	7	model	model	VERB
ejpam-6820	26	8	networks	network	NOUN
ejpam-6820	26	9	with	with	ADP
ejpam-6820	26	10	different	different	ADJ
ejpam-6820	26	11	types	type	NOUN
ejpam-6820	26	12	of	of	ADP
ejpam-6820	26	13	interactions	interaction	NOUN
ejpam-6820	26	14	that	that	PRON
ejpam-6820	26	15	have	have	VERB
ejpam-6820	26	16	fractional	fractional	ADJ
ejpam-6820	26	17	-	-	PUNCT
ejpam-6820	26	18	order	order	NOUN
ejpam-6820	26	19	characteristics	characteristic	NOUN
ejpam-6820	26	20	.	.	PUNCT
ejpam-6820	27	1	this	this	PRON
ejpam-6820	27	2	is	be	AUX
ejpam-6820	27	3	particularly	particularly	ADV
ejpam-6820	27	4	relevant	relevant	ADJ
ejpam-6820	27	5	in	in	ADP
ejpam-6820	27	6	studies	study	NOUN
ejpam-6820	27	7	of	of	ADP
ejpam-6820	27	8	complex	complex	ADJ
ejpam-6820	27	9	systems	system	NOUN
ejpam-6820	27	10	and	and	CCONJ
ejpam-6820	27	11	network	network	NOUN
ejpam-6820	27	12	dynamics	dynamic	NOUN
ejpam-6820	27	13	(	(	PUNCT
ejpam-6820	27	14	see	see	VERB
ejpam-6820	27	15	[	[	X
ejpam-6820	27	16	8–15	8–15	PROPN
ejpam-6820	27	17	]	]	PUNCT
ejpam-6820	27	18	)	)	PUNCT
ejpam-6820	27	19	.	.	PUNCT
ejpam-6820	28	1	an	an	DET
ejpam-6820	28	2	impulsive	impulsive	ADJ
ejpam-6820	28	3	fractional	fractional	ADJ
ejpam-6820	28	4	stochastic	stochastic	ADJ
ejpam-6820	28	5	differential	differential	NOUN
ejpam-6820	28	6	equation	equation	NOUN
ejpam-6820	28	7	(	(	PUNCT
ejpam-6820	28	8	if	if	SCONJ
ejpam-6820	28	9	-	-	PUNCT
ejpam-6820	28	10	sde	sde	NOUN
ejpam-6820	28	11	)	)	PUNCT
ejpam-6820	28	12	combines	combine	VERB
ejpam-6820	28	13	elements	element	NOUN
ejpam-6820	28	14	of	of	ADP
ejpam-6820	28	15	fractional	fractional	ADJ
ejpam-6820	28	16	calculus	calculus	NOUN
ejpam-6820	28	17	,	,	PUNCT
ejpam-6820	28	18	impulsive	impulsive	ADJ
ejpam-6820	28	19	differential	differential	ADJ
ejpam-6820	28	20	equations	equation	NOUN
ejpam-6820	28	21	,	,	PUNCT
ejpam-6820	28	22	and	and	CCONJ
ejpam-6820	28	23	stochastic	stochastic	ADJ
ejpam-6820	28	24	processes	process	NOUN
ejpam-6820	28	25	.	.	PUNCT
ejpam-6820	29	1	an	an	DET
ejpam-6820	29	2	impulsive	impulsive	ADJ
ejpam-6820	29	3	differential	differential	ADJ
ejpam-6820	29	4	equation	equation	NOUN
ejpam-6820	29	5	involves	involve	VERB
ejpam-6820	29	6	sudden	sudden	ADJ
ejpam-6820	29	7	changes	change	NOUN
ejpam-6820	29	8	in	in	ADP
ejpam-6820	29	9	the	the	DET
ejpam-6820	29	10	state	state	NOUN
ejpam-6820	29	11	of	of	ADP
ejpam-6820	29	12	a	a	DET
ejpam-6820	29	13	system	system	NOUN
ejpam-6820	29	14	at	at	ADP
ejpam-6820	29	15	discrete	discrete	ADJ
ejpam-6820	29	16	moments	moment	NOUN
ejpam-6820	29	17	in	in	ADP
ejpam-6820	29	18	time	time	NOUN
ejpam-6820	29	19	.	.	PUNCT
ejpam-6820	30	1	these	these	DET
ejpam-6820	30	2	changes	change	NOUN
ejpam-6820	30	3	are	be	AUX
ejpam-6820	30	4	modeled	model	VERB
ejpam-6820	30	5	as	as	ADP
ejpam-6820	30	6	impulses	impulse	NOUN
ejpam-6820	30	7	or	or	CCONJ
ejpam-6820	30	8	jumps	jump	VERB
ejpam-6820	30	9	.	.	PUNCT
ejpam-6820	31	1	if	if	SCONJ
ejpam-6820	31	2	-	-	PUNCT
ejpam-6820	31	3	sdes	sde	NOUN
ejpam-6820	31	4	can	can	AUX
ejpam-6820	31	5	have	have	VERB
ejpam-6820	31	6	various	various	ADJ
ejpam-6820	31	7	specific	specific	ADJ
ejpam-6820	31	8	forms	form	NOUN
ejpam-6820	31	9	depending	depend	VERB
ejpam-6820	31	10	on	on	ADP
ejpam-6820	31	11	the	the	DET
ejpam-6820	31	12	precise	precise	ADJ
ejpam-6820	31	13	nature	nature	NOUN
ejpam-6820	31	14	of	of	ADP
ejpam-6820	31	15	the	the	DET
ejpam-6820	31	16	fractional	fractional	ADJ
ejpam-6820	31	17	derivative	derivative	NOUN
ejpam-6820	31	18	,	,	PUNCT
ejpam-6820	31	19	the	the	DET
ejpam-6820	31	20	impulsive	impulsive	ADJ
ejpam-6820	31	21	term	term	NOUN
ejpam-6820	31	22	,	,	PUNCT
ejpam-6820	31	23	and	and	CCONJ
ejpam-6820	31	24	the	the	DET
ejpam-6820	31	25	underlying	underlie	VERB
ejpam-6820	31	26	dynamics	dynamic	NOUN
ejpam-6820	31	27	.	.	PUNCT
ejpam-6820	32	1	these	these	DET
ejpam-6820	32	2	equations	equation	NOUN
ejpam-6820	32	3	find	find	VERB
ejpam-6820	32	4	applications	application	NOUN
ejpam-6820	32	5	in	in	ADP
ejpam-6820	32	6	modeling	model	VERB
ejpam-6820	32	7	phenomena	phenomenon	NOUN
ejpam-6820	32	8	with	with	ADP
ejpam-6820	32	9	memory	memory	NOUN
ejpam-6820	32	10	effects	effect	NOUN
ejpam-6820	32	11	,	,	PUNCT
ejpam-6820	32	12	sudden	sudden	ADJ
ejpam-6820	32	13	jumps	jump	NOUN
ejpam-6820	32	14	,	,	PUNCT
ejpam-6820	32	15	and	and	CCONJ
ejpam-6820	32	16	random	random	ADJ
ejpam-6820	32	17	influences	influence	NOUN
ejpam-6820	32	18	,	,	PUNCT
ejpam-6820	32	19	such	such	ADJ
ejpam-6820	32	20	as	as	ADP
ejpam-6820	32	21	financial	financial	ADJ
ejpam-6820	32	22	processes	process	NOUN
ejpam-6820	32	23	,	,	PUNCT
ejpam-6820	32	24	biological	biological	ADJ
ejpam-6820	32	25	systems	system	NOUN
ejpam-6820	32	26	,	,	PUNCT
ejpam-6820	32	27	and	and	CCONJ
ejpam-6820	32	28	anomalous	anomalous	ADJ
ejpam-6820	32	29	diffusion	diffusion	NOUN
ejpam-6820	32	30	(	(	PUNCT
ejpam-6820	32	31	see	see	VERB
ejpam-6820	32	32	[	[	X
ejpam-6820	32	33	16	16	NUM
ejpam-6820	32	34	]	]	SYM
ejpam-6820	32	35	)	)	PUNCT
ejpam-6820	32	36	.	.	PUNCT
ejpam-6820	33	1	stochastic	stochastic	ADJ
ejpam-6820	33	2	stability	stability	NOUN
ejpam-6820	33	3	refers	refer	VERB
ejpam-6820	33	4	to	to	ADP
ejpam-6820	33	5	the	the	DET
ejpam-6820	33	6	property	property	NOUN
ejpam-6820	33	7	of	of	ADP
ejpam-6820	33	8	a	a	DET
ejpam-6820	33	9	stochastic	stochastic	ADJ
ejpam-6820	33	10	system	system	NOUN
ejpam-6820	33	11	to	to	PART
ejpam-6820	33	12	remain	remain	VERB
ejpam-6820	33	13	bounded	bounded	ADJ
ejpam-6820	33	14	and	and	CCONJ
ejpam-6820	33	15	exhibit	exhibit	VERB
ejpam-6820	33	16	well	well	ADV
ejpam-6820	33	17	-	-	PUNCT
ejpam-6820	33	18	behaved	behave	VERB
ejpam-6820	33	19	behavior	behavior	NOUN
ejpam-6820	33	20	over	over	ADP
ejpam-6820	33	21	time	time	NOUN
ejpam-6820	33	22	,	,	PUNCT
ejpam-6820	33	23	even	even	ADV
ejpam-6820	33	24	in	in	ADP
ejpam-6820	33	25	the	the	DET
ejpam-6820	33	26	presence	presence	NOUN
ejpam-6820	33	27	of	of	ADP
ejpam-6820	33	28	random	random	ADJ
ejpam-6820	33	29	fluctuations	fluctuation	NOUN
ejpam-6820	33	30	or	or	CCONJ
ejpam-6820	33	31	noise	noise	NOUN
ejpam-6820	33	32	.	.	PUNCT
ejpam-6820	34	1	in	in	ADP
ejpam-6820	34	2	other	other	ADJ
ejpam-6820	34	3	words	word	NOUN
ejpam-6820	34	4	,	,	PUNCT
ejpam-6820	34	5	a	a	DET
ejpam-6820	34	6	stochastically	stochastically	ADV
ejpam-6820	34	7	stable	stable	ADJ
ejpam-6820	34	8	system	system	NOUN
ejpam-6820	34	9	does	do	AUX
ejpam-6820	34	10	not	not	PART
ejpam-6820	34	11	undergo	undergo	VERB
ejpam-6820	34	12	excessive	excessive	ADJ
ejpam-6820	34	13	or	or	CCONJ
ejpam-6820	34	14	unpredictable	unpredictable	ADJ
ejpam-6820	34	15	changes	change	NOUN
ejpam-6820	34	16	due	due	ADP
ejpam-6820	34	17	to	to	ADP
ejpam-6820	34	18	the	the	DET
ejpam-6820	34	19	inherent	inherent	ADJ
ejpam-6820	34	20	randomness	randomness	NOUN
ejpam-6820	34	21	in	in	ADP
ejpam-6820	34	22	its	its	PRON
ejpam-6820	34	23	dynamics	dynamic	NOUN
ejpam-6820	34	24	.	.	PUNCT
ejpam-6820	35	1	stochastic	stochastic	ADJ
ejpam-6820	35	2	stability	stability	NOUN
ejpam-6820	35	3	is	be	AUX
ejpam-6820	35	4	particularly	particularly	ADV
ejpam-6820	35	5	relevant	relevant	ADJ
ejpam-6820	35	6	when	when	SCONJ
ejpam-6820	35	7	dealing	deal	VERB
ejpam-6820	35	8	with	with	ADP
ejpam-6820	35	9	real	real	ADJ
ejpam-6820	35	10	-	-	PUNCT
ejpam-6820	35	11	world	world	NOUN
ejpam-6820	35	12	systems	system	NOUN
ejpam-6820	35	13	that	that	PRON
ejpam-6820	35	14	are	be	AUX
ejpam-6820	35	15	subject	subject	ADJ
ejpam-6820	35	16	to	to	ADP
ejpam-6820	35	17	inherent	inherent	ADJ
ejpam-6820	35	18	randomness	randomness	NOUN
ejpam-6820	35	19	,	,	PUNCT
ejpam-6820	35	20	such	such	ADJ
ejpam-6820	35	21	as	as	ADP
ejpam-6820	35	22	biological	biological	ADJ
ejpam-6820	35	23	systems	system	NOUN
ejpam-6820	35	24	,	,	PUNCT
ejpam-6820	35	25	financial	financial	ADJ
ejpam-6820	35	26	markets	market	NOUN
ejpam-6820	35	27	,	,	PUNCT
ejpam-6820	35	28	and	and	CCONJ
ejpam-6820	35	29	complex	complex	ADJ
ejpam-6820	35	30	physical	physical	ADJ
ejpam-6820	35	31	systems	system	NOUN
ejpam-6820	35	32	.	.	PUNCT
ejpam-6820	36	1	stability	stability	NOUN
ejpam-6820	36	2	analysis	analysis	NOUN
ejpam-6820	36	3	provides	provide	VERB
ejpam-6820	36	4	insights	insight	NOUN
ejpam-6820	36	5	into	into	ADP
ejpam-6820	36	6	the	the	DET
ejpam-6820	36	7	long	long	ADJ
ejpam-6820	36	8	-	-	PUNCT
ejpam-6820	36	9	term	term	NOUN
ejpam-6820	36	10	behavior	behavior	NOUN
ejpam-6820	36	11	of	of	ADP
ejpam-6820	36	12	these	these	DET
ejpam-6820	36	13	systems	system	NOUN
ejpam-6820	36	14	and	and	CCONJ
ejpam-6820	36	15	helps	help	VERB
ejpam-6820	36	16	ensure	ensure	VERB
ejpam-6820	36	17	their	their	PRON
ejpam-6820	36	18	reliability	reliability	NOUN
ejpam-6820	36	19	and	and	CCONJ
ejpam-6820	36	20	predictability	predictability	NOUN
ejpam-6820	36	21	despite	despite	SCONJ
ejpam-6820	36	22	the	the	DET
ejpam-6820	36	23	presence	presence	NOUN
ejpam-6820	36	24	of	of	ADP
ejpam-6820	36	25	uncertain	uncertain	ADJ
ejpam-6820	36	26	and	and	CCONJ
ejpam-6820	36	27	m.	m.	NOUN
ejpam-6820	36	28	lavanya	lavanya	NOUN
ejpam-6820	37	1	et	et	PROPN
ejpam-6820	37	2	al	al	PROPN
ejpam-6820	37	3	.	.	PUNCT
ejpam-6820	37	4	/	/	SYM
ejpam-6820	37	5	eur	eur	PROPN
ejpam-6820	37	6	.	.	PUNCT
ejpam-6820	38	1	j.	j.	PROPN
ejpam-6820	38	2	pure	pure	PROPN
ejpam-6820	38	3	appl	appl	PROPN
ejpam-6820	38	4	.	.	PROPN
ejpam-6820	38	5	math	math	PROPN
ejpam-6820	38	6	,	,	PUNCT
ejpam-6820	38	7	18	18	NUM
ejpam-6820	38	8	(	(	PUNCT
ejpam-6820	38	9	4	4	NUM
ejpam-6820	38	10	)	)	PUNCT
ejpam-6820	38	11	(	(	PUNCT
ejpam-6820	38	12	2025	2025	NUM
ejpam-6820	38	13	)	)	PUNCT
ejpam-6820	38	14	,	,	PUNCT
ejpam-6820	38	15	6820	6820	NUM
ejpam-6820	38	16	3	3	NUM
ejpam-6820	38	17	of	of	ADP
ejpam-6820	38	18	20	20	NUM
ejpam-6820	38	19	random	random	ADJ
ejpam-6820	38	20	factors	factor	NOUN
ejpam-6820	38	21	(	(	PUNCT
ejpam-6820	38	22	see	see	VERB
ejpam-6820	38	23	[	[	X
ejpam-6820	38	24	10	10	NUM
ejpam-6820	38	25	,	,	PUNCT
ejpam-6820	38	26	12	12	NUM
ejpam-6820	38	27	,	,	PUNCT
ejpam-6820	38	28	17	17	NUM
ejpam-6820	38	29	,	,	PUNCT
ejpam-6820	38	30	18	18	NUM
ejpam-6820	38	31	]	]	PUNCT
ejpam-6820	38	32	)	)	PUNCT
ejpam-6820	38	33	.	.	PUNCT
ejpam-6820	39	1	the	the	DET
ejpam-6820	39	2	controllability	controllability	NOUN
ejpam-6820	39	3	analysis	analysis	NOUN
ejpam-6820	39	4	of	of	ADP
ejpam-6820	39	5	fractional	fractional	ADJ
ejpam-6820	39	6	stochastic	stochastic	ADJ
ejpam-6820	39	7	differential	differential	NOUN
ejpam-6820	39	8	equations	equation	NOUN
ejpam-6820	39	9	presents	present	VERB
ejpam-6820	39	10	unique	unique	ADJ
ejpam-6820	39	11	challenges	challenge	NOUN
ejpam-6820	39	12	due	due	ADP
ejpam-6820	39	13	to	to	ADP
ejpam-6820	39	14	the	the	DET
ejpam-6820	39	15	combination	combination	NOUN
ejpam-6820	39	16	of	of	ADP
ejpam-6820	39	17	fractional	fractional	ADJ
ejpam-6820	39	18	derivatives	derivative	NOUN
ejpam-6820	39	19	and	and	CCONJ
ejpam-6820	39	20	stochastic	stochastic	ADJ
ejpam-6820	39	21	components	component	NOUN
ejpam-6820	39	22	.	.	PUNCT
ejpam-6820	40	1	effective	effective	ADJ
ejpam-6820	40	2	strategies	strategy	NOUN
ejpam-6820	40	3	require	require	VERB
ejpam-6820	40	4	innovative	innovative	ADJ
ejpam-6820	40	5	approaches	approach	NOUN
ejpam-6820	40	6	that	that	PRON
ejpam-6820	40	7	account	account	VERB
ejpam-6820	40	8	for	for	ADP
ejpam-6820	40	9	memory	memory	NOUN
ejpam-6820	40	10	effects	effect	NOUN
ejpam-6820	40	11	,	,	PUNCT
ejpam-6820	40	12	stochasticity	stochasticity	NOUN
ejpam-6820	40	13	,	,	PUNCT
ejpam-6820	40	14	and	and	CCONJ
ejpam-6820	40	15	nonlinearity	nonlinearity	NOUN
ejpam-6820	40	16	.	.	PUNCT
ejpam-6820	41	1	this	this	DET
ejpam-6820	41	2	field	field	NOUN
ejpam-6820	41	3	is	be	AUX
ejpam-6820	41	4	at	at	ADP
ejpam-6820	41	5	the	the	DET
ejpam-6820	41	6	intersection	intersection	NOUN
ejpam-6820	41	7	of	of	ADP
ejpam-6820	41	8	fractional	fractional	ADJ
ejpam-6820	41	9	calculus	calculus	NOUN
ejpam-6820	41	10	,	,	PUNCT
ejpam-6820	41	11	stochastic	stochastic	ADJ
ejpam-6820	41	12	control	control	NOUN
ejpam-6820	41	13	theory	theory	NOUN
ejpam-6820	41	14	,	,	PUNCT
ejpam-6820	41	15	and	and	CCONJ
ejpam-6820	41	16	applied	apply	VERB
ejpam-6820	41	17	mathematics	mathematic	NOUN
ejpam-6820	41	18	,	,	PUNCT
ejpam-6820	41	19	offering	offer	VERB
ejpam-6820	41	20	opportunities	opportunity	NOUN
ejpam-6820	41	21	to	to	PART
ejpam-6820	41	22	devise	devise	VERB
ejpam-6820	41	23	novel	novel	ADJ
ejpam-6820	41	24	control	control	NOUN
ejpam-6820	41	25	methods	method	NOUN
ejpam-6820	41	26	for	for	ADP
ejpam-6820	41	27	a	a	DET
ejpam-6820	41	28	wide	wide	ADJ
ejpam-6820	41	29	range	range	NOUN
ejpam-6820	41	30	of	of	ADP
ejpam-6820	41	31	real	real	ADJ
ejpam-6820	41	32	-	-	PUNCT
ejpam-6820	41	33	world	world	NOUN
ejpam-6820	41	34	systems	system	NOUN
ejpam-6820	41	35	(	(	PUNCT
ejpam-6820	41	36	see	see	VERB
ejpam-6820	41	37	[	[	X
ejpam-6820	41	38	19	19	NUM
ejpam-6820	41	39	,	,	PUNCT
ejpam-6820	41	40	20	20	NUM
ejpam-6820	41	41	]	]	PUNCT
ejpam-6820	41	42	)	)	PUNCT
ejpam-6820	41	43	.	.	PUNCT
ejpam-6820	42	1	the	the	DET
ejpam-6820	42	2	rosenblatt	rosenblatt	PROPN
ejpam-6820	42	3	process	process	NOUN
ejpam-6820	42	4	,	,	PUNCT
ejpam-6820	42	5	also	also	ADV
ejpam-6820	42	6	known	know	VERB
ejpam-6820	42	7	as	as	ADP
ejpam-6820	42	8	the	the	DET
ejpam-6820	42	9	rosenblatt	rosenblatt	NOUN
ejpam-6820	42	10	-	-	PUNCT
ejpam-6820	42	11	levy	levy	NOUN
ejpam-6820	42	12	process	process	NOUN
ejpam-6820	42	13	,	,	PUNCT
ejpam-6820	42	14	is	be	AUX
ejpam-6820	42	15	a	a	DET
ejpam-6820	42	16	type	type	NOUN
ejpam-6820	42	17	of	of	ADP
ejpam-6820	42	18	stochastic	stochastic	ADJ
ejpam-6820	42	19	process	process	NOUN
ejpam-6820	42	20	used	use	VERB
ejpam-6820	42	21	in	in	ADP
ejpam-6820	42	22	probability	probability	NOUN
ejpam-6820	42	23	theory	theory	NOUN
ejpam-6820	42	24	and	and	CCONJ
ejpam-6820	42	25	statistical	statistical	ADJ
ejpam-6820	42	26	analysis	analysis	NOUN
ejpam-6820	42	27	.	.	PUNCT
ejpam-6820	43	1	it	it	PRON
ejpam-6820	43	2	’s	’s	AUX
ejpam-6820	43	3	named	name	VERB
ejpam-6820	43	4	after	after	ADP
ejpam-6820	43	5	murray	murray	PROPN
ejpam-6820	43	6	rosenblatt	rosenblatt	PROPN
ejpam-6820	43	7	,	,	PUNCT
ejpam-6820	43	8	who	who	PRON
ejpam-6820	43	9	introduced	introduce	VERB
ejpam-6820	43	10	it	it	PRON
ejpam-6820	43	11	in	in	ADP
ejpam-6820	43	12	the	the	DET
ejpam-6820	43	13	1950s	1950s	NUM
ejpam-6820	43	14	.	.	PUNCT
ejpam-6820	44	1	the	the	DET
ejpam-6820	44	2	process	process	NOUN
ejpam-6820	44	3	is	be	AUX
ejpam-6820	44	4	closely	closely	ADV
ejpam-6820	44	5	related	relate	VERB
ejpam-6820	44	6	to	to	ADP
ejpam-6820	44	7	fractional	fractional	ADJ
ejpam-6820	44	8	brownian	brownian	ADJ
ejpam-6820	44	9	motion	motion	NOUN
ejpam-6820	44	10	and	and	CCONJ
ejpam-6820	44	11	has	have	VERB
ejpam-6820	44	12	applications	application	NOUN
ejpam-6820	44	13	in	in	ADP
ejpam-6820	44	14	fields	field	NOUN
ejpam-6820	44	15	like	like	ADP
ejpam-6820	44	16	finance	finance	NOUN
ejpam-6820	44	17	,	,	PUNCT
ejpam-6820	44	18	physics	physics	NOUN
ejpam-6820	44	19	,	,	PUNCT
ejpam-6820	44	20	and	and	CCONJ
ejpam-6820	44	21	signal	signal	ADJ
ejpam-6820	44	22	processing	processing	NOUN
ejpam-6820	44	23	.	.	PUNCT
ejpam-6820	45	1	the	the	DET
ejpam-6820	45	2	rosenblatt	rosenblatt	PROPN
ejpam-6820	45	3	process	process	NOUN
ejpam-6820	45	4	captures	capture	VERB
ejpam-6820	45	5	this	this	DET
ejpam-6820	45	6	artistic	artistic	ADJ
ejpam-6820	45	7	wandering	wandering	NOUN
ejpam-6820	45	8	.	.	PUNCT
ejpam-6820	46	1	it	it	PRON
ejpam-6820	46	2	’s	’	VERB
ejpam-6820	46	3	like	like	ADP
ejpam-6820	46	4	an	an	DET
ejpam-6820	46	5	intricate	intricate	ADJ
ejpam-6820	46	6	dance	dance	NOUN
ejpam-6820	46	7	between	between	ADP
ejpam-6820	46	8	memory	memory	NOUN
ejpam-6820	46	9	and	and	CCONJ
ejpam-6820	46	10	randomness	randomness	NOUN
ejpam-6820	46	11	.	.	PUNCT
ejpam-6820	47	1	the	the	DET
ejpam-6820	47	2	past	past	NOUN
ejpam-6820	47	3	informs	inform	VERB
ejpam-6820	47	4	the	the	DET
ejpam-6820	47	5	artist	artist	NOUN
ejpam-6820	47	6	’s	’s	PART
ejpam-6820	47	7	decisions	decision	NOUN
ejpam-6820	47	8	,	,	PUNCT
ejpam-6820	47	9	while	while	SCONJ
ejpam-6820	47	10	the	the	DET
ejpam-6820	47	11	randomness	randomness	NOUN
ejpam-6820	47	12	of	of	ADP
ejpam-6820	47	13	the	the	DET
ejpam-6820	47	14	postcards	postcard	NOUN
ejpam-6820	47	15	adds	add	VERB
ejpam-6820	47	16	a	a	DET
ejpam-6820	47	17	touch	touch	NOUN
ejpam-6820	47	18	of	of	ADP
ejpam-6820	47	19	unpredictability	unpredictability	NOUN
ejpam-6820	47	20	.	.	PUNCT
ejpam-6820	48	1	and	and	CCONJ
ejpam-6820	48	2	just	just	ADV
ejpam-6820	48	3	like	like	ADP
ejpam-6820	48	4	a	a	DET
ejpam-6820	48	5	piece	piece	NOUN
ejpam-6820	48	6	of	of	ADP
ejpam-6820	48	7	art	art	NOUN
ejpam-6820	48	8	,	,	PUNCT
ejpam-6820	48	9	the	the	DET
ejpam-6820	48	10	rosenblatt	rosenblatt	PROPN
ejpam-6820	48	11	process	process	NOUN
ejpam-6820	48	12	’s	’s	PART
ejpam-6820	48	13	path	path	NOUN
ejpam-6820	48	14	is	be	AUX
ejpam-6820	48	15	unique	unique	ADJ
ejpam-6820	48	16	every	every	DET
ejpam-6820	48	17	time	time	NOUN
ejpam-6820	48	18	you	you	PRON
ejpam-6820	48	19	look	look	VERB
ejpam-6820	48	20	at	at	ADP
ejpam-6820	48	21	it(see	it(see	PROPN
ejpam-6820	48	22	[	[	X
ejpam-6820	48	23	?	?	PUNCT
ejpam-6820	48	24	]	]	PUNCT
ejpam-6820	48	25	)	)	PUNCT
ejpam-6820	48	26	.	.	PUNCT
ejpam-6820	49	1	we	we	PRON
ejpam-6820	49	2	are	be	AUX
ejpam-6820	49	3	aware	aware	ADJ
ejpam-6820	49	4	of	of	ADP
ejpam-6820	49	5	no	no	DET
ejpam-6820	49	6	study	study	NOUN
ejpam-6820	49	7	in	in	ADP
ejpam-6820	49	8	the	the	DET
ejpam-6820	49	9	literature	literature	NOUN
ejpam-6820	49	10	that	that	PRON
ejpam-6820	49	11	deals	deal	VERB
ejpam-6820	49	12	with	with	ADP
ejpam-6820	49	13	the	the	DET
ejpam-6820	49	14	stochastic	stochastic	ADJ
ejpam-6820	49	15	stability	stability	NOUN
ejpam-6820	49	16	and	and	CCONJ
ejpam-6820	49	17	controllability	controllability	NOUN
ejpam-6820	49	18	analysis	analysis	NOUN
ejpam-6820	49	19	of	of	ADP
ejpam-6820	49	20	a	a	DET
ejpam-6820	49	21	stochastic	stochastic	ADJ
ejpam-6820	49	22	multi	multi	ADJ
ejpam-6820	49	23	-	-	ADJ
ejpam-6820	49	24	term	term	ADJ
ejpam-6820	49	25	fractional	fractional	ADJ
ejpam-6820	49	26	impulsive	impulsive	ADJ
ejpam-6820	49	27	differential	differential	ADJ
ejpam-6820	49	28	system	system	NOUN
ejpam-6820	49	29	.	.	PUNCT
ejpam-6820	50	1	our	our	PRON
ejpam-6820	50	2	work	work	NOUN
ejpam-6820	50	3	makes	make	VERB
ejpam-6820	50	4	the	the	DET
ejpam-6820	50	5	following	follow	VERB
ejpam-6820	50	6	significant	significant	ADJ
ejpam-6820	50	7	contributions	contribution	NOUN
ejpam-6820	50	8	:	:	PUNCT
ejpam-6820	50	9	a	a	DET
ejpam-6820	50	10	fractional	fractional	ADJ
ejpam-6820	50	11	stochastic	stochastic	ADJ
ejpam-6820	50	12	delay	delay	NOUN
ejpam-6820	50	13	differential	differential	NOUN
ejpam-6820	50	14	equation	equation	NOUN
ejpam-6820	50	15	with	with	ADP
ejpam-6820	50	16	the	the	DET
ejpam-6820	50	17	stochastic	stochastic	ADJ
ejpam-6820	50	18	term	term	NOUN
ejpam-6820	50	19	as	as	ADP
ejpam-6820	50	20	a	a	DET
ejpam-6820	50	21	rosenblatt	rosenblatt	NOUN
ejpam-6820	50	22	process	process	NOUN
ejpam-6820	50	23	is	be	AUX
ejpam-6820	50	24	considered	consider	VERB
ejpam-6820	50	25	for	for	ADP
ejpam-6820	50	26	multi	multi	ADJ
ejpam-6820	50	27	-	-	NOUN
ejpam-6820	50	28	term	term	NOUN
ejpam-6820	50	29	for	for	ADP
ejpam-6820	50	30	the	the	DET
ejpam-6820	50	31	first	first	ADJ
ejpam-6820	50	32	time	time	NOUN
ejpam-6820	50	33	.	.	PUNCT
ejpam-6820	51	1	it	it	PRON
ejpam-6820	51	2	can	can	AUX
ejpam-6820	51	3	reflect	reflect	VERB
ejpam-6820	51	4	the	the	DET
ejpam-6820	51	5	transfer	transfer	NOUN
ejpam-6820	51	6	process	process	NOUN
ejpam-6820	51	7	more	more	ADV
ejpam-6820	51	8	effectively	effectively	ADV
ejpam-6820	51	9	compared	compare	VERB
ejpam-6820	51	10	to	to	ADP
ejpam-6820	51	11	existing	exist	VERB
ejpam-6820	51	12	literature	literature	NOUN
ejpam-6820	51	13	.	.	PUNCT
ejpam-6820	52	1	in	in	ADP
ejpam-6820	52	2	this	this	DET
ejpam-6820	52	3	work	work	NOUN
ejpam-6820	52	4	,	,	PUNCT
ejpam-6820	52	5	we	we	PRON
ejpam-6820	52	6	extend	extend	VERB
ejpam-6820	52	7	the	the	DET
ejpam-6820	52	8	stochastic	stochastic	ADJ
ejpam-6820	52	9	stability	stability	NOUN
ejpam-6820	52	10	result	result	VERB
ejpam-6820	52	11	for	for	ADP
ejpam-6820	52	12	multi	multi	ADJ
ejpam-6820	52	13	-	-	ADJ
ejpam-6820	52	14	term	term	ADJ
ejpam-6820	52	15	fractional	fractional	ADJ
ejpam-6820	52	16	stochastic	stochastic	ADJ
ejpam-6820	52	17	impulsive	impulsive	ADJ
ejpam-6820	52	18	differential	differential	NOUN
ejpam-6820	52	19	systems	system	NOUN
ejpam-6820	52	20	by	by	ADP
ejpam-6820	52	21	providing	provide	VERB
ejpam-6820	52	22	suitable	suitable	ADJ
ejpam-6820	52	23	hypothesis	hypothesis	NOUN
ejpam-6820	52	24	.	.	PUNCT
ejpam-6820	53	1	the	the	DET
ejpam-6820	53	2	fixed	fix	VERB
ejpam-6820	53	3	point	point	NOUN
ejpam-6820	53	4	theorem	theorem	NOUN
ejpam-6820	53	5	was	be	AUX
ejpam-6820	53	6	used	use	VERB
ejpam-6820	53	7	to	to	PART
ejpam-6820	53	8	introduce	introduce	VERB
ejpam-6820	53	9	controllability	controllability	NOUN
ejpam-6820	53	10	for	for	ADP
ejpam-6820	53	11	the	the	DET
ejpam-6820	53	12	multi	multi	ADJ
ejpam-6820	53	13	-	-	ADJ
ejpam-6820	53	14	term	term	ADJ
ejpam-6820	53	15	equation	equation	NOUN
ejpam-6820	53	16	in	in	ADP
ejpam-6820	53	17	the	the	DET
ejpam-6820	53	18	existing	exist	VERB
ejpam-6820	53	19	system	system	NOUN
ejpam-6820	53	20	.	.	PUNCT
ejpam-6820	54	1	there	there	PRON
ejpam-6820	54	2	are	be	VERB
ejpam-6820	54	3	mathematical	mathematical	ADJ
ejpam-6820	54	4	instances	instance	NOUN
ejpam-6820	54	5	presented	present	VERB
ejpam-6820	54	6	.	.	PUNCT
ejpam-6820	55	1	the	the	DET
ejpam-6820	55	2	following	follow	VERB
ejpam-6820	55	3	theory	theory	NOUN
ejpam-6820	55	4	is	be	AUX
ejpam-6820	55	5	structured	structure	VERB
ejpam-6820	55	6	as	as	SCONJ
ejpam-6820	55	7	follows	follow	VERB
ejpam-6820	55	8	:	:	PUNCT
ejpam-6820	55	9	section	section	NOUN
ejpam-6820	55	10	2	2	NUM
ejpam-6820	55	11	introduces	introduce	VERB
ejpam-6820	55	12	basic	basic	ADJ
ejpam-6820	55	13	definitions	definition	NOUN
ejpam-6820	55	14	and	and	CCONJ
ejpam-6820	55	15	lemmas	lemma	NOUN
ejpam-6820	55	16	.	.	PUNCT
ejpam-6820	56	1	in	in	ADP
ejpam-6820	56	2	section	section	NOUN
ejpam-6820	56	3	3	3	NUM
ejpam-6820	56	4	,	,	PUNCT
ejpam-6820	56	5	the	the	DET
ejpam-6820	56	6	multi	multi	ADJ
ejpam-6820	56	7	-	-	ADJ
ejpam-6820	56	8	term	term	ADJ
ejpam-6820	56	9	fractional	fractional	ADJ
ejpam-6820	56	10	impulsive	impulsive	ADJ
ejpam-6820	56	11	differential	differential	ADJ
ejpam-6820	56	12	system	system	NOUN
ejpam-6820	56	13	’s	’s	PART
ejpam-6820	56	14	state	state	NOUN
ejpam-6820	56	15	reaction	reaction	NOUN
ejpam-6820	56	16	is	be	AUX
ejpam-6820	56	17	illustrated	illustrate	VERB
ejpam-6820	56	18	.	.	PUNCT
ejpam-6820	57	1	section	section	NOUN
ejpam-6820	57	2	4	4	NUM
ejpam-6820	57	3	deduces	deduce	VERB
ejpam-6820	57	4	the	the	DET
ejpam-6820	57	5	fsdde	fsdde	NOUN
ejpam-6820	57	6	solution	solution	NOUN
ejpam-6820	57	7	and	and	CCONJ
ejpam-6820	57	8	the	the	DET
ejpam-6820	57	9	required	require	VERB
ejpam-6820	57	10	and	and	CCONJ
ejpam-6820	57	11	sufficient	sufficient	ADJ
ejpam-6820	57	12	requirements	requirement	NOUN
ejpam-6820	57	13	of	of	ADP
ejpam-6820	57	14	controllability	controllability	NOUN
ejpam-6820	57	15	,	,	PUNCT
ejpam-6820	57	16	with	with	ADP
ejpam-6820	57	17	examples	example	NOUN
ejpam-6820	57	18	.	.	PUNCT
ejpam-6820	58	1	section	section	NOUN
ejpam-6820	58	2	5	5	NUM
ejpam-6820	58	3	discusses	discuss	VERB
ejpam-6820	58	4	stochastic	stochastic	ADJ
ejpam-6820	58	5	stability	stability	NOUN
ejpam-6820	58	6	criteria	criterion	NOUN
ejpam-6820	58	7	and	and	CCONJ
ejpam-6820	58	8	provides	provide	VERB
ejpam-6820	58	9	instances	instance	NOUN
ejpam-6820	58	10	.	.	PUNCT
ejpam-6820	59	1	section	section	NOUN
ejpam-6820	59	2	6	6	NUM
ejpam-6820	59	3	provided	provide	VERB
ejpam-6820	59	4	the	the	DET
ejpam-6820	59	5	conclusion	conclusion	NOUN
ejpam-6820	59	6	.	.	PUNCT
ejpam-6820	60	1	2	2	X
ejpam-6820	60	2	.	.	X
ejpam-6820	60	3	preliminaries	preliminary	NOUN
ejpam-6820	60	4	definition	definition	NOUN
ejpam-6820	60	5	1	1	NUM
ejpam-6820	60	6	.	.	PUNCT
ejpam-6820	61	1	[	[	X
ejpam-6820	61	2	6	6	NUM
ejpam-6820	61	3	]	]	PUNCT
ejpam-6820	61	4	let	let	AUX
ejpam-6820	61	5	a(r	a(r	NOUN
ejpam-6820	61	6	)	)	PUNCT
ejpam-6820	61	7	be	be	AUX
ejpam-6820	61	8	a	a	DET
ejpam-6820	61	9	function	function	NOUN
ejpam-6820	61	10	of	of	ADP
ejpam-6820	61	11	a	a	DET
ejpam-6820	61	12	real	real	ADJ
ejpam-6820	61	13	variable	variable	NOUN
ejpam-6820	61	14	r	r	NOUN
ejpam-6820	61	15	∈	∈	PROPN
ejpam-6820	61	16	r+	r+	NOUN
ejpam-6820	61	17	.	.	PUNCT
ejpam-6820	62	1	the	the	DET
ejpam-6820	62	2	laplace	laplace	NOUN
ejpam-6820	62	3	transform	transform	NOUN
ejpam-6820	62	4	(	(	PUNCT
ejpam-6820	62	5	lt	lt	NOUN
ejpam-6820	62	6	)	)	PUNCT
ejpam-6820	62	7	of	of	ADP
ejpam-6820	62	8	a(r	a(r	NOUN
ejpam-6820	62	9	)	)	PUNCT
ejpam-6820	62	10	is	be	AUX
ejpam-6820	62	11	defined	define	VERB
ejpam-6820	62	12	as	as	ADP
ejpam-6820	62	13	l[a(r	l[a(r	NOUN
ejpam-6820	62	14	)	)	PUNCT
ejpam-6820	62	15	]	]	PUNCT
ejpam-6820	63	1	=	=	PUNCT
ejpam-6820	63	2	∫	∫	PROPN
ejpam-6820	63	3	∞	∞	PROPN
ejpam-6820	63	4	0	0	NUM
ejpam-6820	63	5	e−sra(r	e−sra(r	NUM
ejpam-6820	63	6	)	)	PUNCT
ejpam-6820	63	7	dr	dr	PROPN
ejpam-6820	63	8	=	=	PROPN
ejpam-6820	63	9	a(s	a(s	PROPN
ejpam-6820	63	10	)	)	PUNCT
ejpam-6820	63	11	.	.	PUNCT
ejpam-6820	64	1	the	the	DET
ejpam-6820	64	2	laplace	laplace	NOUN
ejpam-6820	64	3	transform	transform	NOUN
ejpam-6820	64	4	of	of	ADP
ejpam-6820	64	5	a	a	DET
ejpam-6820	64	6	convolution	convolution	NOUN
ejpam-6820	64	7	satisfies	satisfie	NOUN
ejpam-6820	64	8	l[a	l[a	VERB
ejpam-6820	64	9	∗	∗	NOUN
ejpam-6820	64	10	n	n	CCONJ
ejpam-6820	64	11	]	]	X
ejpam-6820	64	12	=	=	PUNCT
ejpam-6820	64	13	l[a(r	l[a(r	NOUN
ejpam-6820	64	14	)	)	PUNCT
ejpam-6820	64	15	]	]	PUNCT
ejpam-6820	64	16	·	·	PUNCT
ejpam-6820	64	17	l[n(r	l[n(r	NUM
ejpam-6820	64	18	)	)	PUNCT
ejpam-6820	64	19	]	]	PUNCT
ejpam-6820	65	1	=	=	PUNCT
ejpam-6820	65	2	a(s)n(s	a(s)n(	NOUN
ejpam-6820	65	3	)	)	PUNCT
ejpam-6820	65	4	,	,	PUNCT
ejpam-6820	65	5	where	where	SCONJ
ejpam-6820	65	6	(	(	PUNCT
ejpam-6820	65	7	a	a	DET
ejpam-6820	65	8	∗	∗	NOUN
ejpam-6820	65	9	n)(r	n)(r	NUM
ejpam-6820	65	10	)	)	PUNCT
ejpam-6820	65	11	=	=	SYM
ejpam-6820	66	1	∫	∫	PROPN
ejpam-6820	66	2	r	r	NOUN
ejpam-6820	66	3	0	0	NUM
ejpam-6820	66	4	a(r	a(r	PROPN
ejpam-6820	66	5	−	−	PROPN
ejpam-6820	66	6	s)n(s	s)n(s	PROPN
ejpam-6820	66	7	)	)	PUNCT
ejpam-6820	66	8	ds	ds	PROPN
ejpam-6820	66	9	.	.	PROPN
ejpam-6820	66	10	m.	m.	PROPN
ejpam-6820	66	11	lavanya	lavanya	PROPN
ejpam-6820	66	12	et	et	PROPN
ejpam-6820	66	13	al	al	PROPN
ejpam-6820	66	14	.	.	PUNCT
ejpam-6820	66	15	/	/	SYM
ejpam-6820	66	16	eur	eur	PROPN
ejpam-6820	66	17	.	.	PUNCT
ejpam-6820	67	1	j.	j.	PROPN
ejpam-6820	67	2	pure	pure	PROPN
ejpam-6820	67	3	appl	appl	PROPN
ejpam-6820	67	4	.	.	PROPN
ejpam-6820	67	5	math	math	PROPN
ejpam-6820	67	6	,	,	PUNCT
ejpam-6820	67	7	18	18	NUM
ejpam-6820	67	8	(	(	PUNCT
ejpam-6820	67	9	4	4	NUM
ejpam-6820	67	10	)	)	PUNCT
ejpam-6820	67	11	(	(	PUNCT
ejpam-6820	67	12	2025	2025	NUM
ejpam-6820	67	13	)	)	PUNCT
ejpam-6820	67	14	,	,	PUNCT
ejpam-6820	67	15	6820	6820	NUM
ejpam-6820	67	16	4	4	NUM
ejpam-6820	67	17	of	of	ADP
ejpam-6820	67	18	20	20	NUM
ejpam-6820	67	19	moreover	moreover	ADV
ejpam-6820	67	20	,	,	PUNCT
ejpam-6820	67	21	the	the	DET
ejpam-6820	67	22	inverse	inverse	ADJ
ejpam-6820	67	23	laplace	laplace	NOUN
ejpam-6820	67	24	transform	transform	NOUN
ejpam-6820	67	25	of	of	ADP
ejpam-6820	67	26	a	a	DET
ejpam-6820	67	27	product	product	NOUN
ejpam-6820	67	28	can	can	AUX
ejpam-6820	67	29	be	be	AUX
ejpam-6820	67	30	written	write	VERB
ejpam-6820	67	31	as	as	ADP
ejpam-6820	67	32	l−1[a(s)n(s	l−1[a(s)n(s	NOUN
ejpam-6820	67	33	)	)	PUNCT
ejpam-6820	67	34	]	]	PUNCT
ejpam-6820	68	1	=	=	PUNCT
ejpam-6820	68	2	(	(	PUNCT
ejpam-6820	68	3	l−1[a(s	l−1[a(s	PROPN
ejpam-6820	68	4	)	)	PUNCT
ejpam-6820	68	5	]	]	PUNCT
ejpam-6820	68	6	∗	∗	X
ejpam-6820	68	7	l−1[n(s	l−1[n(s	NOUN
ejpam-6820	68	8	)	)	PUNCT
ejpam-6820	68	9	]	]	PUNCT
ejpam-6820	68	10	)	)	PUNCT
ejpam-6820	68	11	(	(	PUNCT
ejpam-6820	68	12	r	r	NOUN
ejpam-6820	68	13	)	)	PUNCT
ejpam-6820	68	14	.	.	PUNCT
ejpam-6820	69	1	for	for	ADP
ejpam-6820	69	2	the	the	DET
ejpam-6820	69	3	caputo	caputo	PROPN
ejpam-6820	69	4	fractional	fractional	PROPN
ejpam-6820	69	5	derivative	derivative	NOUN
ejpam-6820	69	6	of	of	ADP
ejpam-6820	69	7	order	order	NOUN
ejpam-6820	69	8	α	α	X
ejpam-6820	69	9	>	>	X
ejpam-6820	69	10	0	0	PROPN
ejpam-6820	69	11	,	,	PUNCT
ejpam-6820	69	12	the	the	DET
ejpam-6820	69	13	laplace	laplace	NOUN
ejpam-6820	69	14	transform	transform	NOUN
ejpam-6820	69	15	is	be	AUX
ejpam-6820	69	16	given	give	VERB
ejpam-6820	69	17	by	by	ADP
ejpam-6820	69	18	l	l	NOUN
ejpam-6820	69	19	[	[	PUNCT
ejpam-6820	69	20	cdα	cdα	NOUN
ejpam-6820	69	21	0+f(t	0+f(t	NOUN
ejpam-6820	69	22	)	)	PUNCT
ejpam-6820	69	23	]	]	PUNCT
ejpam-6820	70	1	=	=	PUNCT
ejpam-6820	70	2	sαf	sαf	NOUN
ejpam-6820	70	3	(	(	PUNCT
ejpam-6820	70	4	s)−	s)−	PROPN
ejpam-6820	70	5	n−1∑	n−1∑	NUM
ejpam-6820	70	6	k=0	k=0	X
ejpam-6820	70	7	sα−k−1f	sα−k−1f	X
ejpam-6820	70	8	(	(	PUNCT
ejpam-6820	70	9	k)(0	k)(0	X
ejpam-6820	70	10	+	+	NOUN
ejpam-6820	70	11	)	)	PUNCT
ejpam-6820	70	12	,	,	PUNCT
ejpam-6820	70	13	where	where	SCONJ
ejpam-6820	70	14	n−	n−	NOUN
ejpam-6820	70	15	1	1	NUM
ejpam-6820	70	16	<	<	X
ejpam-6820	70	17	α	α	PROPN
ejpam-6820	70	18	≤	≤	PUNCT
ejpam-6820	70	19	n	n	CCONJ
ejpam-6820	70	20	,	,	PUNCT
ejpam-6820	70	21	n	n	PROPN
ejpam-6820	70	22	∈	∈	PROPN
ejpam-6820	70	23	n	n	CCONJ
ejpam-6820	70	24	,	,	PUNCT
ejpam-6820	70	25	and	and	CCONJ
ejpam-6820	70	26	f	f	PROPN
ejpam-6820	70	27	(	(	PUNCT
ejpam-6820	70	28	s	s	X
ejpam-6820	70	29	)	)	PUNCT
ejpam-6820	70	30	=	=	SYM
ejpam-6820	70	31	l[f(t	l[f(t	NOUN
ejpam-6820	70	32	)	)	PUNCT
ejpam-6820	70	33	]	]	PUNCT
ejpam-6820	70	34	.	.	PUNCT
ejpam-6820	71	1	definition	definition	NOUN
ejpam-6820	71	2	2	2	NUM
ejpam-6820	71	3	.	.	PUNCT
ejpam-6820	72	1	[	[	X
ejpam-6820	72	2	6	6	NUM
ejpam-6820	72	3	]	]	PUNCT
ejpam-6820	72	4	the	the	DET
ejpam-6820	72	5	fractional	fractional	PROPN
ejpam-6820	72	6	caputo	caputo	PROPN
ejpam-6820	72	7	derivative(cd	derivative(cd	PROPN
ejpam-6820	72	8	)	)	PUNCT
ejpam-6820	72	9	can	can	AUX
ejpam-6820	72	10	be	be	AUX
ejpam-6820	72	11	defined	define	VERB
ejpam-6820	72	12	by	by	ADP
ejpam-6820	72	13	(	(	PUNCT
ejpam-6820	72	14	cdxa)(r	cdxa)(r	PROPN
ejpam-6820	72	15	)	)	PUNCT
ejpam-6820	73	1	=	=	PUNCT
ejpam-6820	73	2	1	1	NUM
ejpam-6820	73	3	γ(n−	γ(n−	PROPN
ejpam-6820	73	4	x	x	SYM
ejpam-6820	73	5	)	)	PUNCT
ejpam-6820	73	6	∫	∫	PROPN
ejpam-6820	74	1	r	r	NOUN
ejpam-6820	74	2	0	0	NUM
ejpam-6820	75	1	(	(	PUNCT
ejpam-6820	75	2	r	r	NOUN
ejpam-6820	75	3	−	−	NOUN
ejpam-6820	75	4	s)n−x−1a(n)(s)ds	s)n−x−1a(n)(s)ds	NOUN
ejpam-6820	75	5	,	,	PUNCT
ejpam-6820	75	6	n−	n−	NOUN
ejpam-6820	75	7	1	1	NUM
ejpam-6820	75	8	<	<	X
ejpam-6820	75	9	x	x	SYM
ejpam-6820	75	10	≤	≤	NUM
ejpam-6820	75	11	n	n	CCONJ
ejpam-6820	75	12	,	,	PUNCT
ejpam-6820	75	13	n	n	PRON
ejpam-6820	75	14	∈	∈	PROPN
ejpam-6820	75	15	n	n	NOUN
ejpam-6820	75	16	if	if	SCONJ
ejpam-6820	75	17	0	0	NUM
ejpam-6820	75	18	<	<	X
ejpam-6820	75	19	x	x	SYM
ejpam-6820	75	20	≤	≤	NUM
ejpam-6820	75	21	1	1	NUM
ejpam-6820	75	22	,	,	PUNCT
ejpam-6820	75	23	(	(	PUNCT
ejpam-6820	75	24	cdxa)(r	cdxa)(r	PROPN
ejpam-6820	75	25	)	)	PUNCT
ejpam-6820	75	26	=	=	PUNCT
ejpam-6820	76	1	1	1	NUM
ejpam-6820	76	2	γ(n−	γ(n−	PROPN
ejpam-6820	76	3	x	x	SYM
ejpam-6820	76	4	)	)	PUNCT
ejpam-6820	76	5	∫	∫	PROPN
ejpam-6820	76	6	r	r	NOUN
ejpam-6820	76	7	0	0	NUM
ejpam-6820	76	8	a1(s	a1(s	NOUN
ejpam-6820	76	9	)	)	PUNCT
ejpam-6820	76	10	(	(	PUNCT
ejpam-6820	76	11	r	r	NOUN
ejpam-6820	76	12	−	−	NOUN
ejpam-6820	76	13	s)x	s)x	NOUN
ejpam-6820	76	14	ds	ds	ADP
ejpam-6820	76	15	the	the	DET
ejpam-6820	76	16	lt	lt	PROPN
ejpam-6820	76	17	of	of	ADP
ejpam-6820	76	18	cdis	cdis	PROPN
ejpam-6820	76	19	l[cdxa(r)](s	l[cdxa(r)](s	PROPN
ejpam-6820	76	20	)	)	PUNCT
ejpam-6820	77	1	=	=	PUNCT
ejpam-6820	77	2	sxa(s)−	sxa(s)−	PROPN
ejpam-6820	77	3	n−1∑	n−1∑	NUM
ejpam-6820	77	4	l=0	l=0	PROPN
ejpam-6820	77	5	al(0+)sx−1−l	al(0+)sx−1−l	PROPN
ejpam-6820	78	1	if	if	SCONJ
ejpam-6820	78	2	0	0	NUM
ejpam-6820	78	3	<	<	X
ejpam-6820	78	4	x	x	SYM
ejpam-6820	78	5	≤	≤	NUM
ejpam-6820	78	6	1	1	NUM
ejpam-6820	78	7	,	,	PUNCT
ejpam-6820	78	8	l[cdxa(r)](s	l[cdxa(r)](s	NOUN
ejpam-6820	78	9	)	)	PUNCT
ejpam-6820	78	10	=	=	PUNCT
ejpam-6820	78	11	sxa(s)−	sxa(s)−	PROPN
ejpam-6820	78	12	sx−1a(0	sx−1a(0	PROPN
ejpam-6820	78	13	+	+	NOUN
ejpam-6820	78	14	)	)	PUNCT
ejpam-6820	78	15	for	for	ADP
ejpam-6820	78	16	1	1	NUM
ejpam-6820	78	17	<	<	X
ejpam-6820	78	18	x	x	SYM
ejpam-6820	78	19	≤	≤	ADJ
ejpam-6820	78	20	2	2	NUM
ejpam-6820	78	21	,	,	PUNCT
ejpam-6820	78	22	l[cdxa(r)](s	l[cdxa(r)](s	NOUN
ejpam-6820	78	23	)	)	PUNCT
ejpam-6820	78	24	=	=	SYM
ejpam-6820	78	25	sxa(s)−	sxa(s)−	PROPN
ejpam-6820	78	26	sx−1a(0+)−	sx−1a(0+)−	VERB
ejpam-6820	78	27	sx−2a′(0	sx−2a′(0	NOUN
ejpam-6820	78	28	+	+	NOUN
ejpam-6820	78	29	)	)	PUNCT
ejpam-6820	78	30	lemma	lemma	PROPN
ejpam-6820	78	31	1	1	NUM
ejpam-6820	78	32	.	.	PUNCT
ejpam-6820	79	1	[	[	X
ejpam-6820	79	2	21	21	NUM
ejpam-6820	79	3	]	]	X
ejpam-6820	79	4	banach	banach	NOUN
ejpam-6820	79	5	contraction	contraction	NOUN
ejpam-6820	79	6	principle	principle	NOUN
ejpam-6820	79	7	has	have	VERB
ejpam-6820	79	8	a	a	DET
ejpam-6820	79	9	singular	singular	ADJ
ejpam-6820	79	10	fixed	fix	VERB
ejpam-6820	79	11	point	point	NOUN
ejpam-6820	79	12	if	if	SCONJ
ejpam-6820	79	13	x	x	PRON
ejpam-6820	79	14	is	be	AUX
ejpam-6820	79	15	a	a	DET
ejpam-6820	79	16	banach	banach	NOUN
ejpam-6820	79	17	space	space	NOUN
ejpam-6820	79	18	and	and	CCONJ
ejpam-6820	79	19	:	:	PUNCT
ejpam-6820	79	20	x	x	X
ejpam-6820	79	21	→	→	PUNCT
ejpam-6820	79	22	x	x	X
ejpam-6820	79	23	is	be	AUX
ejpam-6820	79	24	a	a	DET
ejpam-6820	79	25	contraction	contraction	NOUN
ejpam-6820	79	26	mapping	mapping	NOUN
ejpam-6820	79	27	.	.	PUNCT
ejpam-6820	80	1	2.1	2.1	NUM
ejpam-6820	80	2	.	.	PUNCT
ejpam-6820	80	3	rosenblatt	rosenblatt	NOUN
ejpam-6820	80	4	process	process	NOUN
ejpam-6820	80	5	(	(	PUNCT
ejpam-6820	80	6	rp	rp	NOUN
ejpam-6820	80	7	)	)	PUNCT
ejpam-6820	80	8	in	in	ADP
ejpam-6820	80	9	a	a	DET
ejpam-6820	80	10	filtered	filter	VERB
ejpam-6820	80	11	probability	probability	NOUN
ejpam-6820	80	12	space(ω	space(ω	NOUN
ejpam-6820	80	13	,	,	PUNCT
ejpam-6820	80	14	f	f	PROPN
ejpam-6820	80	15	,	,	PUNCT
ejpam-6820	80	16	{	{	PUNCT
ejpam-6820	80	17	fq}q≥0	fq}q≥0	PROPN
ejpam-6820	80	18	,	,	PUNCT
ejpam-6820	80	19	p	p	NOUN
ejpam-6820	80	20	)	)	PUNCT
ejpam-6820	80	21	where	where	SCONJ
ejpam-6820	80	22	{	{	PUNCT
ejpam-6820	80	23	fq}q≥0	fq}q≥0	VERB
ejpam-6820	80	24	is	be	AUX
ejpam-6820	80	25	the	the	DET
ejpam-6820	80	26	filtration	filtration	NOUN
ejpam-6820	80	27	and	and	CCONJ
ejpam-6820	80	28	it	it	PRON
ejpam-6820	80	29	is	be	AUX
ejpam-6820	80	30	right	right	ADV
ejpam-6820	80	31	continuous	continuous	ADJ
ejpam-6820	80	32	.	.	PUNCT
ejpam-6820	81	1	the	the	DET
ejpam-6820	81	2	rosenblatt	rosenblatt	PROPN
ejpam-6820	81	3	process	process	NOUN
ejpam-6820	81	4	,	,	PUNCT
ejpam-6820	81	5	which	which	PRON
ejpam-6820	81	6	is	be	AUX
ejpam-6820	81	7	defined	define	VERB
ejpam-6820	81	8	on	on	ADP
ejpam-6820	81	9	this	this	DET
ejpam-6820	81	10	filtered	filter	VERB
ejpam-6820	81	11	probability	probability	NOUN
ejpam-6820	81	12	space	space	NOUN
ejpam-6820	81	13	is	be	AUX
ejpam-6820	81	14	denoted	denote	VERB
ejpam-6820	81	15	by(see	by(see	NOUN
ejpam-6820	81	16	[	[	X
ejpam-6820	81	17	?	?	PUNCT
ejpam-6820	81	18	]	]	X
ejpam-6820	81	19	)	)	PUNCT
ejpam-6820	81	20	rh(q	rh(q	NUM
ejpam-6820	81	21	)	)	PUNCT
ejpam-6820	81	22	=	=	SYM
ejpam-6820	81	23	d(h	d(h	PROPN
ejpam-6820	81	24	)	)	PUNCT
ejpam-6820	81	25	∫	∫	PROPN
ejpam-6820	82	1	q	q	NOUN
ejpam-6820	82	2	0	0	NUM
ejpam-6820	82	3	∫	∫	PROPN
ejpam-6820	82	4	q	q	NOUN
ejpam-6820	82	5	0	0	NUM
ejpam-6820	82	6	{	{	PUNCT
ejpam-6820	82	7	∫	∫	PROPN
ejpam-6820	82	8	q	q	PROPN
ejpam-6820	82	9	t1∨t2	t1∨t2	PROPN
ejpam-6820	82	10	∂kh′	∂kh′	PUNCT
ejpam-6820	82	11	∂u	∂u	PROPN
ejpam-6820	82	12	(	(	PUNCT
ejpam-6820	82	13	u	u	NOUN
ejpam-6820	82	14	,	,	PUNCT
ejpam-6820	82	15	t1	t1	PROPN
ejpam-6820	82	16	)	)	PUNCT
ejpam-6820	82	17	∂kh′	∂kh′	PUNCT
ejpam-6820	82	18	∂u	∂u	PROPN
ejpam-6820	82	19	(	(	PUNCT
ejpam-6820	82	20	u	u	NOUN
ejpam-6820	82	21	,	,	PUNCT
ejpam-6820	82	22	t2)du	t2)du	ADJ
ejpam-6820	82	23	}	}	PUNCT
ejpam-6820	82	24	db(t1)db(t2	db(t1)db(t2	NOUN
ejpam-6820	82	25	)	)	PUNCT
ejpam-6820	82	26	(	(	PUNCT
ejpam-6820	82	27	1	1	X
ejpam-6820	82	28	)	)	PUNCT
ejpam-6820	82	29	where	where	SCONJ
ejpam-6820	82	30	q	q	X
ejpam-6820	82	31	,	,	PUNCT
ejpam-6820	82	32	r	r	NOUN
ejpam-6820	82	33	∈	∈	PROPN
ejpam-6820	83	1	[	[	X
ejpam-6820	83	2	0	0	NUM
ejpam-6820	83	3	,	,	PUNCT
ejpam-6820	83	4	a	a	PRON
ejpam-6820	83	5	]	]	X
ejpam-6820	83	6	,	,	PUNCT
ejpam-6820	83	7	a	a	DET
ejpam-6820	83	8	>	>	X
ejpam-6820	83	9	0	0	NUM
ejpam-6820	83	10	,	,	PUNCT
ejpam-6820	83	11	q	q	NOUN
ejpam-6820	83	12	≤	≤	ADJ
ejpam-6820	83	13	r	r	NOUN
ejpam-6820	83	14	,	,	PUNCT
ejpam-6820	83	15	{	{	PUNCT
ejpam-6820	83	16	b(q	b(q	PROPN
ejpam-6820	83	17	)	)	PUNCT
ejpam-6820	83	18	}	}	PUNCT
ejpam-6820	83	19	is	be	AUX
ejpam-6820	83	20	a	a	DET
ejpam-6820	83	21	brownian	brownian	ADJ
ejpam-6820	83	22	motion	motion	NOUN
ejpam-6820	83	23	,	,	PUNCT
ejpam-6820	83	24	hurst	hurst	PROPN
ejpam-6820	83	25	parameter	parameter	PROPN
ejpam-6820	83	26	h	h	PROPN
ejpam-6820	83	27	>	>	X
ejpam-6820	83	28	1	1	NUM
ejpam-6820	83	29	2	2	NUM
ejpam-6820	83	30	,	,	PUNCT
ejpam-6820	83	31	d(h	d(h	PROPN
ejpam-6820	83	32	)	)	PUNCT
ejpam-6820	84	1	=	=	SYM
ejpam-6820	84	2	1	1	NUM
ejpam-6820	84	3	h+1	h+1	NUM
ejpam-6820	84	4	(	(	PUNCT
ejpam-6820	84	5	h	h	NOUN
ejpam-6820	84	6	2(2h−1	2(2h−1	NUM
ejpam-6820	84	7	)	)	PUNCT
ejpam-6820	84	8	)	)	PUNCT
ejpam-6820	84	9	−1	−1	NOUN
ejpam-6820	84	10	2	2	NUM
ejpam-6820	84	11	and	and	CCONJ
ejpam-6820	84	12	h′	h′	PROPN
ejpam-6820	84	13	=	=	PUNCT
ejpam-6820	85	1	h+1	h+1	NUM
ejpam-6820	85	2	2	2	NUM
ejpam-6820	85	3	.	.	PUNCT
ejpam-6820	86	1	here	here	ADV
ejpam-6820	86	2	kh(q	kh(q	NOUN
ejpam-6820	86	3	,	,	PUNCT
ejpam-6820	86	4	r	r	NOUN
ejpam-6820	86	5	)	)	PUNCT
ejpam-6820	86	6	is	be	AUX
ejpam-6820	86	7	the	the	DET
ejpam-6820	86	8	kernel	kernel	NOUN
ejpam-6820	86	9	,	,	PUNCT
ejpam-6820	86	10	m.	m.	NOUN
ejpam-6820	86	11	lavanya	lavanya	NOUN
ejpam-6820	86	12	et	et	PROPN
ejpam-6820	86	13	al	al	PROPN
ejpam-6820	86	14	.	.	PUNCT
ejpam-6820	86	15	/	/	SYM
ejpam-6820	86	16	eur	eur	PROPN
ejpam-6820	86	17	.	.	PUNCT
ejpam-6820	87	1	j.	j.	PROPN
ejpam-6820	87	2	pure	pure	PROPN
ejpam-6820	87	3	appl	appl	PROPN
ejpam-6820	87	4	.	.	PROPN
ejpam-6820	87	5	math	math	PROPN
ejpam-6820	87	6	,	,	PUNCT
ejpam-6820	87	7	18	18	NUM
ejpam-6820	87	8	(	(	PUNCT
ejpam-6820	87	9	4	4	NUM
ejpam-6820	87	10	)	)	PUNCT
ejpam-6820	87	11	(	(	PUNCT
ejpam-6820	87	12	2025	2025	NUM
ejpam-6820	87	13	)	)	PUNCT
ejpam-6820	87	14	,	,	PUNCT
ejpam-6820	87	15	6820	6820	NUM
ejpam-6820	87	16	5	5	NUM
ejpam-6820	87	17	of	of	ADP
ejpam-6820	87	18	20	20	NUM
ejpam-6820	87	19	kh(q	kh(q	NOUN
ejpam-6820	87	20	,	,	PUNCT
ejpam-6820	87	21	r	r	NOUN
ejpam-6820	87	22	)	)	PUNCT
ejpam-6820	88	1	=	=	SYM
ejpam-6820	88	2	chr	chr	NOUN
ejpam-6820	88	3	1	1	NUM
ejpam-6820	88	4	2	2	NUM
ejpam-6820	88	5	−h	−h	ADJ
ejpam-6820	88	6	∫	∫	PROPN
ejpam-6820	88	7	q	q	X
ejpam-6820	88	8	r	r	NOUN
ejpam-6820	88	9	(	(	PUNCT
ejpam-6820	88	10	u−	u−	PROPN
ejpam-6820	88	11	r)h−	r)h−	NOUN
ejpam-6820	88	12	3	3	NUM
ejpam-6820	88	13	2uh−	2uh−	NUM
ejpam-6820	88	14	1	1	NUM
ejpam-6820	88	15	2du	2du	NOUN
ejpam-6820	88	16	for	for	ADP
ejpam-6820	88	17	q	q	PROPN
ejpam-6820	88	18	>	>	X
ejpam-6820	88	19	r	r	NOUN
ejpam-6820	88	20	,	,	PUNCT
ejpam-6820	88	21	where	where	SCONJ
ejpam-6820	88	22	ch	ch	NOUN
ejpam-6820	88	23	=	=	NOUN
ejpam-6820	88	24	√	√	NUM
ejpam-6820	88	25	h(2h−1	h(2h−1	NOUN
ejpam-6820	88	26	)	)	PUNCT
ejpam-6820	88	27	β(2−2h	β(2−2h	NOUN
ejpam-6820	88	28	,	,	PUNCT
ejpam-6820	88	29	h−	h−	PROPN
ejpam-6820	88	30	1	1	NUM
ejpam-6820	88	31	2	2	NUM
ejpam-6820	88	32	)	)	PUNCT
ejpam-6820	88	33	and	and	CCONJ
ejpam-6820	88	34	kh(q	kh(q	NOUN
ejpam-6820	88	35	,	,	PUNCT
ejpam-6820	88	36	r	r	NOUN
ejpam-6820	88	37	)	)	PUNCT
ejpam-6820	88	38	=	=	SYM
ejpam-6820	88	39	0	0	PUNCT
ejpam-6820	89	1	if	if	SCONJ
ejpam-6820	89	2	q	q	PROPN
ejpam-6820	89	3	≤	≤	PROPN
ejpam-6820	89	4	r.	r.	NOUN
ejpam-6820	89	5	•	•	ADV
ejpam-6820	89	6	let	let	VERB
ejpam-6820	89	7	a	a	PRON
ejpam-6820	89	8	be	be	AUX
ejpam-6820	89	9	a	a	DET
ejpam-6820	89	10	separable	separable	ADJ
ejpam-6820	89	11	hilbert	hilbert	NOUN
ejpam-6820	89	12	space	space	NOUN
ejpam-6820	89	13	with	with	ADP
ejpam-6820	89	14	<	<	X
ejpam-6820	89	15	.	.	PUNCT
ejpam-6820	89	16	,	,	PUNCT
ejpam-6820	89	17	.	.	PUNCT
ejpam-6820	90	1	>	>	PUNCT
ejpam-6820	90	2	a	a	DET
ejpam-6820	90	3	and	and	CCONJ
ejpam-6820	90	4	|.|a	|.|a	NOUN
ejpam-6820	90	5	•	•	NOUN
ejpam-6820	90	6	υ	υ	NOUN
ejpam-6820	90	7	is	be	AUX
ejpam-6820	90	8	a	a	DET
ejpam-6820	90	9	hilbert	hilbert	NOUN
ejpam-6820	90	10	space	space	NOUN
ejpam-6820	90	11	of	of	ADP
ejpam-6820	90	12	all	all	DET
ejpam-6820	90	13	square	square	ADJ
ejpam-6820	90	14	integrable	integrable	ADJ
ejpam-6820	90	15	and	and	CCONJ
ejpam-6820	90	16	frmeasurable	frmeasurable	ADJ
ejpam-6820	90	17	processes	process	NOUN
ejpam-6820	90	18	.	.	PUNCT
ejpam-6820	91	1	3	3	X
ejpam-6820	91	2	.	.	X
ejpam-6820	91	3	system	system	NOUN
ejpam-6820	91	4	and	and	CCONJ
ejpam-6820	91	5	solution	solution	NOUN
ejpam-6820	91	6	representation	representation	NOUN
ejpam-6820	91	7	evaluate	evaluate	VERB
ejpam-6820	91	8	the	the	DET
ejpam-6820	91	9	following	following	ADJ
ejpam-6820	91	10	linear	linear	ADJ
ejpam-6820	91	11	system	system	NOUN
ejpam-6820	91	12	cdma(r	cdma(r	NOUN
ejpam-6820	91	13	)	)	PUNCT
ejpam-6820	91	14	+	+	CCONJ
ejpam-6820	91	15	x∑	x∑	X
ejpam-6820	91	16	g=1	g=1	PROPN
ejpam-6820	91	17	ug	ug	ADP
ejpam-6820	91	18	cdnga(r	cdnga(r	NOUN
ejpam-6820	91	19	)	)	PUNCT
ejpam-6820	91	20	=	=	SYM
ejpam-6820	91	21	ka(r	ka(r	NOUN
ejpam-6820	91	22	)	)	PUNCT
ejpam-6820	92	1	+	+	NOUN
ejpam-6820	92	2	h(r)dξ(r	h(r)dξ(r	NOUN
ejpam-6820	92	3	)	)	PUNCT
ejpam-6820	92	4	,	,	PUNCT
ejpam-6820	93	1	r	r	NOUN
ejpam-6820	93	2	∈	∈	PROPN
ejpam-6820	93	3	i	i	NOUN
ejpam-6820	93	4	=	=	SYM
ejpam-6820	93	5	(	(	PUNCT
ejpam-6820	93	6	0	0	NUM
ejpam-6820	93	7	,	,	PUNCT
ejpam-6820	93	8	z	z	NOUN
ejpam-6820	93	9	]	]	X
ejpam-6820	93	10	r	r	X
ejpam-6820	93	11	6=	6=	PROPN
ejpam-6820	93	12	rt	rt	PROPN
ejpam-6820	93	13	,	,	PUNCT
ejpam-6820	93	14	(	(	PUNCT
ejpam-6820	93	15	2	2	NUM
ejpam-6820	93	16	)	)	PUNCT
ejpam-6820	93	17	∆a(rt	∆a(rt	NOUN
ejpam-6820	93	18	)	)	PUNCT
ejpam-6820	93	19	=	=	SYM
ejpam-6820	94	1	jt(a(r	jt(a(r	NOUN
ejpam-6820	94	2	−	−	PROPN
ejpam-6820	94	3	t	t	PROPN
ejpam-6820	94	4	)	)	PUNCT
ejpam-6820	94	5	)	)	PUNCT
ejpam-6820	94	6	,	,	PUNCT
ejpam-6820	94	7	t	t	NOUN
ejpam-6820	94	8	=	=	SYM
ejpam-6820	94	9	1	1	NUM
ejpam-6820	94	10	,	,	PUNCT
ejpam-6820	94	11	2	2	NUM
ejpam-6820	94	12	,	,	PUNCT
ejpam-6820	94	13	...	...	PUNCT
ejpam-6820	94	14	,	,	PUNCT
ejpam-6820	94	15	s	s	X
ejpam-6820	94	16	,	,	PUNCT
ejpam-6820	94	17	a′(0	a′(0	ADJ
ejpam-6820	94	18	)	)	PUNCT
ejpam-6820	94	19	=	=	SYM
ejpam-6820	94	20	δ	δ	PROPN
ejpam-6820	94	21	•	•	ADP
ejpam-6820	94	22	where	where	SCONJ
ejpam-6820	94	23	,	,	PUNCT
ejpam-6820	94	24	cdm	cdm	PROPN
ejpam-6820	94	25	is	be	AUX
ejpam-6820	94	26	m	m	NOUN
ejpam-6820	94	27	order	order	NOUN
ejpam-6820	94	28	caputo	caputo	PROPN
ejpam-6820	94	29	derivative	derivative	NOUN
ejpam-6820	94	30	and	and	CCONJ
ejpam-6820	94	31	1	1	NUM
ejpam-6820	94	32	<	<	X
ejpam-6820	94	33	m	m	X
ejpam-6820	94	34	<	<	X
ejpam-6820	94	35	2	2	NUM
ejpam-6820	94	36	,	,	PUNCT
ejpam-6820	94	37	cdng	cdng	NOUN
ejpam-6820	94	38	is	be	AUX
ejpam-6820	94	39	ng	ng	PROPN
ejpam-6820	94	40	order	order	NOUN
ejpam-6820	94	41	caputo	caputo	PROPN
ejpam-6820	94	42	derivative	derivative	PROPN
ejpam-6820	94	43	and	and	CCONJ
ejpam-6820	94	44	0	0	NUM
ejpam-6820	94	45	<	<	X
ejpam-6820	94	46	ng	ng	X
ejpam-6820	94	47	<	<	X
ejpam-6820	94	48	m	m	PROPN
ejpam-6820	94	49	.	.	PUNCT
ejpam-6820	95	1	•	•	NUM
ejpam-6820	96	1	k	k	X
ejpam-6820	96	2	<	<	X
ejpam-6820	96	3	0	0	PUNCT
ejpam-6820	96	4	and	and	CCONJ
ejpam-6820	96	5	ug	ug	ADP
ejpam-6820	96	6	∈	∈	PROPN
ejpam-6820	96	7	r	r	NOUN
ejpam-6820	96	8	,	,	PUNCT
ejpam-6820	96	9	•	•	ADP
ejpam-6820	96	10	a(r	a(r	NOUN
ejpam-6820	96	11	)	)	PUNCT
ejpam-6820	96	12	∈	∈	PROPN
ejpam-6820	96	13	r	r	NOUN
ejpam-6820	96	14	,	,	PUNCT
ejpam-6820	96	15	•	•	NUM
ejpam-6820	96	16	h	h	NOUN
ejpam-6820	96	17	:	:	PUNCT
ejpam-6820	96	18	i→	i→	AUX
ejpam-6820	96	19	l0	l0	PROPN
ejpam-6820	96	20	2	2	NUM
ejpam-6820	96	21	is	be	AUX
ejpam-6820	96	22	a	a	DET
ejpam-6820	96	23	hilbert	hilbert	NOUN
ejpam-6820	96	24	-	-	PUNCT
ejpam-6820	96	25	schmidt	schmidt	NOUN
ejpam-6820	96	26	operator	operator	NOUN
ejpam-6820	96	27	,	,	PUNCT
ejpam-6820	96	28	•	•	NUM
ejpam-6820	96	29	dξ(r	dξ(r	X
ejpam-6820	96	30	)	)	PUNCT
ejpam-6820	97	1	is	be	AUX
ejpam-6820	97	2	a	a	DET
ejpam-6820	97	3	rosenblatt	rosenblatt	NOUN
ejpam-6820	97	4	process	process	NOUN
ejpam-6820	97	5	,	,	PUNCT
ejpam-6820	97	6	•	•	ADV
ejpam-6820	97	7	∆a(rt	∆a(rt	NOUN
ejpam-6820	97	8	)	)	PUNCT
ejpam-6820	97	9	=	=	SYM
ejpam-6820	98	1	a(r+t	a(r+t	PROPN
ejpam-6820	98	2	)	)	PUNCT
ejpam-6820	99	1	−	−	PROPN
ejpam-6820	99	2	a(r−t	a(r−t	NUM
ejpam-6820	99	3	)	)	PUNCT
ejpam-6820	99	4	is	be	AUX
ejpam-6820	99	5	the	the	DET
ejpam-6820	99	6	impulse	impulse	ADJ
ejpam-6820	99	7	term	term	NOUN
ejpam-6820	99	8	,	,	PUNCT
ejpam-6820	99	9	a(r+t	a(r+t	PUNCT
ejpam-6820	99	10	)	)	PUNCT
ejpam-6820	100	1	=	=	PUNCT
ejpam-6820	100	2	limh→0	limh→0	PROPN
ejpam-6820	100	3	a(rt	a(rt	PROPN
ejpam-6820	100	4	+	+	CCONJ
ejpam-6820	100	5	h	h	NOUN
ejpam-6820	100	6	)	)	PUNCT
ejpam-6820	100	7	is	be	AUX
ejpam-6820	100	8	the	the	DET
ejpam-6820	100	9	right	right	ADJ
ejpam-6820	100	10	limit	limit	NOUN
ejpam-6820	100	11	and	and	CCONJ
ejpam-6820	100	12	a(r−t	a(r−t	PRON
ejpam-6820	100	13	)	)	PUNCT
ejpam-6820	101	1	=	=	PUNCT
ejpam-6820	101	2	limh→0	limh→0	PROPN
ejpam-6820	101	3	a(rt	a(rt	PROPN
ejpam-6820	101	4	−	−	PROPN
ejpam-6820	101	5	h	h	NOUN
ejpam-6820	101	6	)	)	PUNCT
ejpam-6820	101	7	is	be	AUX
ejpam-6820	101	8	the	the	DET
ejpam-6820	101	9	left	left	ADJ
ejpam-6820	101	10	limit	limit	NOUN
ejpam-6820	101	11	of	of	ADP
ejpam-6820	101	12	a(r	a(r	NOUN
ejpam-6820	101	13	)	)	PUNCT
ejpam-6820	101	14	on	on	ADP
ejpam-6820	101	15	r	r	NOUN
ejpam-6820	101	16	=	=	SYM
ejpam-6820	101	17	rt	rt	PROPN
ejpam-6820	101	18	.	.	PROPN
ejpam-6820	101	19	•	•	NUM
ejpam-6820	102	1	δ	δ	PROPN
ejpam-6820	102	2	is	be	AUX
ejpam-6820	102	3	initial	initial	ADJ
ejpam-6820	102	4	function	function	NOUN
ejpam-6820	102	5	,	,	PUNCT
ejpam-6820	102	6	consider	consider	VERB
ejpam-6820	102	7	cdma(r	cdma(r	NOUN
ejpam-6820	102	8	)	)	PUNCT
ejpam-6820	103	1	+	+	CCONJ
ejpam-6820	104	1	x∑	x∑	X
ejpam-6820	104	2	g=1	g=1	PROPN
ejpam-6820	104	3	ug	ug	ADP
ejpam-6820	104	4	cdnga(r	cdnga(r	NOUN
ejpam-6820	104	5	)	)	PUNCT
ejpam-6820	104	6	=	=	SYM
ejpam-6820	104	7	ka(r	ka(r	NOUN
ejpam-6820	104	8	)	)	PUNCT
ejpam-6820	105	1	+	+	NOUN
ejpam-6820	105	2	h(r)dξ(r	h(r)dξ(r	NOUN
ejpam-6820	105	3	)	)	PUNCT
ejpam-6820	105	4	,	,	PUNCT
ejpam-6820	106	1	r	r	NOUN
ejpam-6820	106	2	∈	∈	PROPN
ejpam-6820	106	3	i	i	NOUN
ejpam-6820	106	4	=	=	SYM
ejpam-6820	106	5	(	(	PUNCT
ejpam-6820	106	6	0	0	NUM
ejpam-6820	106	7	,	,	PUNCT
ejpam-6820	106	8	z	z	NOUN
ejpam-6820	106	9	]	]	X
ejpam-6820	106	10	,	,	PUNCT
ejpam-6820	106	11	(	(	PUNCT
ejpam-6820	106	12	3	3	X
ejpam-6820	106	13	)	)	PUNCT
ejpam-6820	106	14	a′(0	a′(0	NOUN
ejpam-6820	106	15	)	)	PUNCT
ejpam-6820	106	16	=	=	SYM
ejpam-6820	106	17	δ	δ	PROPN
ejpam-6820	106	18	by	by	ADP
ejpam-6820	106	19	taking	take	VERB
ejpam-6820	106	20	lt	lt	PRON
ejpam-6820	106	21	of	of	ADP
ejpam-6820	106	22	(	(	PUNCT
ejpam-6820	106	23	3	3	NUM
ejpam-6820	106	24	)	)	PUNCT
ejpam-6820	106	25	,	,	PUNCT
ejpam-6820	106	26	a(r	a(r	NOUN
ejpam-6820	106	27	)	)	PUNCT
ejpam-6820	106	28	=	=	SYM
ejpam-6820	107	1	∫	∫	PROPN
ejpam-6820	107	2	r	r	NOUN
ejpam-6820	107	3	0	0	NUM
ejpam-6820	107	4	pm(r	pm(r	NOUN
ejpam-6820	107	5	−	−	PROPN
ejpam-6820	108	1	q)δdq	q)δdq	NOUN
ejpam-6820	108	2	+	+	PUNCT
ejpam-6820	108	3	x∑	x∑	X
ejpam-6820	109	1	g=1	g=1	PROPN
ejpam-6820	109	2	ug	ug	ADP
ejpam-6820	109	3	r	r	NOUN
ejpam-6820	109	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	109	5	(	(	PUNCT
ejpam-6820	109	6	4	4	NUM
ejpam-6820	109	7	)	)	PUNCT
ejpam-6820	109	8	m.	m.	NOUN
ejpam-6820	109	9	lavanya	lavanya	NOUN
ejpam-6820	109	10	et	et	PROPN
ejpam-6820	109	11	al	al	PROPN
ejpam-6820	109	12	.	.	PUNCT
ejpam-6820	109	13	/	/	SYM
ejpam-6820	109	14	eur	eur	PROPN
ejpam-6820	109	15	.	.	PUNCT
ejpam-6820	110	1	j.	j.	PROPN
ejpam-6820	110	2	pure	pure	PROPN
ejpam-6820	110	3	appl	appl	PROPN
ejpam-6820	110	4	.	.	PROPN
ejpam-6820	110	5	math	math	PROPN
ejpam-6820	110	6	,	,	PUNCT
ejpam-6820	110	7	18	18	NUM
ejpam-6820	110	8	(	(	PUNCT
ejpam-6820	110	9	4	4	NUM
ejpam-6820	110	10	)	)	PUNCT
ejpam-6820	110	11	(	(	PUNCT
ejpam-6820	110	12	2025	2025	NUM
ejpam-6820	110	13	)	)	PUNCT
ejpam-6820	110	14	,	,	PUNCT
ejpam-6820	110	15	6820	6820	NUM
ejpam-6820	110	16	6	6	NUM
ejpam-6820	110	17	of	of	ADP
ejpam-6820	110	18	20	20	NUM
ejpam-6820	110	19	+	+	NUM
ejpam-6820	110	20	∫	∫	PROPN
ejpam-6820	110	21	r	r	NOUN
ejpam-6820	110	22	0	0	NUM
ejpam-6820	111	1	(	(	PUNCT
ejpam-6820	111	2	r	r	NOUN
ejpam-6820	111	3	−	−	PROPN
ejpam-6820	111	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	111	5	,	,	PUNCT
ejpam-6820	111	6	m(r	m(r	PROPN
ejpam-6820	111	7	−	−	PROPN
ejpam-6820	111	8	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	111	9	)	)	PUNCT
ejpam-6820	111	10	here	here	ADV
ejpam-6820	111	11	,	,	PUNCT
ejpam-6820	111	12	pm(r	pm(r	NOUN
ejpam-6820	111	13	)	)	PUNCT
ejpam-6820	112	1	=	=	PUNCT
ejpam-6820	112	2	l−1	l−1	PROPN
ejpam-6820	112	3	[	[	PUNCT
ejpam-6820	112	4	qm−1	qm−1	NOUN
ejpam-6820	112	5	qm	qm	PROPN
ejpam-6820	112	6	+	+	CCONJ
ejpam-6820	112	7	∑x	∑x	PROPN
ejpam-6820	112	8	g=1	g=1	PROPN
ejpam-6820	112	9	ugq	ugq	VERB
ejpam-6820	112	10	ng	ng	PROPN
ejpam-6820	112	11	−k	−k	PROPN
ejpam-6820	112	12	]	]	PUNCT
ejpam-6820	112	13	rm−1pm,1+m−ng(r	rm−1pm,1+m−ng(r	PROPN
ejpam-6820	112	14	)	)	PUNCT
ejpam-6820	113	1	=	=	PUNCT
ejpam-6820	113	2	l−1	l−1	PROPN
ejpam-6820	113	3	[	[	PUNCT
ejpam-6820	113	4	qng−2	qng−2	PROPN
ejpam-6820	113	5	qm	qm	PROPN
ejpam-6820	113	6	+	+	CCONJ
ejpam-6820	113	7	∑x	∑x	PROPN
ejpam-6820	113	8	g=1	g=1	PROPN
ejpam-6820	113	9	ugq	ugq	VERB
ejpam-6820	113	10	ng	ng	PROPN
ejpam-6820	113	11	−k	−k	PROPN
ejpam-6820	113	12	]	]	PUNCT
ejpam-6820	113	13	rm−1pm	rm−1pm	NUM
ejpam-6820	113	14	,	,	PUNCT
ejpam-6820	113	15	m(r	m(r	NOUN
ejpam-6820	113	16	)	)	PUNCT
ejpam-6820	114	1	=	=	PUNCT
ejpam-6820	115	1	l−1	l−1	PROPN
ejpam-6820	115	2	[	[	PUNCT
ejpam-6820	115	3	1	1	NUM
ejpam-6820	115	4	qm	qm	PROPN
ejpam-6820	115	5	+	+	PROPN
ejpam-6820	115	6	∑x	∑x	PROPN
ejpam-6820	115	7	g=1	g=1	PROPN
ejpam-6820	115	8	ugq	ugq	VERB
ejpam-6820	115	9	ng	ng	PROPN
ejpam-6820	115	10	−k	−k	PROPN
ejpam-6820	115	11	]	]	PUNCT
ejpam-6820	116	1	lemma	lemma	PROPN
ejpam-6820	117	1	2	2	NUM
ejpam-6820	117	2	.	.	PUNCT
ejpam-6820	117	3	for	for	ADP
ejpam-6820	117	4	1	1	NUM
ejpam-6820	117	5	<	<	X
ejpam-6820	117	6	m	m	X
ejpam-6820	117	7	<	<	X
ejpam-6820	117	8	2	2	NUM
ejpam-6820	117	9	,	,	PUNCT
ejpam-6820	117	10	the	the	DET
ejpam-6820	117	11	solution	solution	NOUN
ejpam-6820	117	12	of	of	ADP
ejpam-6820	117	13	the	the	DET
ejpam-6820	117	14	system	system	NOUN
ejpam-6820	117	15	(	(	PUNCT
ejpam-6820	117	16	2	2	X
ejpam-6820	117	17	)	)	PUNCT
ejpam-6820	117	18	can	can	AUX
ejpam-6820	117	19	be	be	AUX
ejpam-6820	117	20	represented	represent	VERB
ejpam-6820	117	21	as	as	ADP
ejpam-6820	117	22	a(r	a(r	NOUN
ejpam-6820	117	23	)	)	PUNCT
ejpam-6820	117	24	=	=	SYM
ejpam-6820	118	1	∫	∫	PROPN
ejpam-6820	118	2	r	r	NOUN
ejpam-6820	118	3	0	0	NUM
ejpam-6820	118	4	pm(r	pm(r	NOUN
ejpam-6820	118	5	−	−	PROPN
ejpam-6820	119	1	q)δdq	q)δdq	NOUN
ejpam-6820	119	2	+	+	PUNCT
ejpam-6820	119	3	x∑	x∑	X
ejpam-6820	120	1	g=1	g=1	PROPN
ejpam-6820	120	2	ug	ug	ADP
ejpam-6820	120	3	r	r	NOUN
ejpam-6820	120	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	121	1	+	+	CCONJ
ejpam-6820	121	2	∫	∫	PROPN
ejpam-6820	121	3	r	r	NOUN
ejpam-6820	121	4	0	0	NUM
ejpam-6820	122	1	(	(	PUNCT
ejpam-6820	122	2	r	r	NOUN
ejpam-6820	122	3	−	−	PROPN
ejpam-6820	122	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	122	5	,	,	PUNCT
ejpam-6820	122	6	m(r	m(r	PROPN
ejpam-6820	122	7	−	−	PROPN
ejpam-6820	122	8	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	122	9	)	)	PUNCT
ejpam-6820	122	10	for	for	ADP
ejpam-6820	122	11	r	r	PROPN
ejpam-6820	122	12	∈	∈	PROPN
ejpam-6820	122	13	(	(	PUNCT
ejpam-6820	122	14	o	o	NOUN
ejpam-6820	122	15	,	,	PUNCT
ejpam-6820	122	16	r1	r1	PROPN
ejpam-6820	122	17	]	]	PUNCT
ejpam-6820	122	18	a(r	a(r	NOUN
ejpam-6820	122	19	)	)	PUNCT
ejpam-6820	122	20	=	=	SYM
ejpam-6820	123	1	∫	∫	PROPN
ejpam-6820	123	2	r	r	NOUN
ejpam-6820	123	3	0	0	NUM
ejpam-6820	123	4	pm(r	pm(r	NOUN
ejpam-6820	123	5	−	−	PROPN
ejpam-6820	124	1	q)δdq	q)δdq	NOUN
ejpam-6820	124	2	+	+	PUNCT
ejpam-6820	124	3	x∑	x∑	X
ejpam-6820	125	1	g=1	g=1	PROPN
ejpam-6820	125	2	ug	ug	ADP
ejpam-6820	125	3	r	r	NOUN
ejpam-6820	125	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	125	5	+	+	CCONJ
ejpam-6820	125	6	j1(a(r	j1(a(r	NOUN
ejpam-6820	125	7	−	−	NOUN
ejpam-6820	125	8	1	1	NUM
ejpam-6820	125	9	)	)	PUNCT
ejpam-6820	125	10	)	)	PUNCT
ejpam-6820	126	1	+	+	CCONJ
ejpam-6820	126	2	∫	∫	PROPN
ejpam-6820	126	3	r	r	NOUN
ejpam-6820	126	4	0	0	NUM
ejpam-6820	126	5	(	(	PUNCT
ejpam-6820	126	6	r	r	NOUN
ejpam-6820	126	7	−	−	PROPN
ejpam-6820	126	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	126	9	,	,	PUNCT
ejpam-6820	126	10	m(r	m(r	PROPN
ejpam-6820	126	11	−	−	PROPN
ejpam-6820	126	12	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	126	13	)	)	PUNCT
ejpam-6820	126	14	for	for	ADP
ejpam-6820	126	15	r	r	PROPN
ejpam-6820	126	16	∈	∈	PROPN
ejpam-6820	126	17	(	(	PUNCT
ejpam-6820	126	18	r1	r1	NOUN
ejpam-6820	126	19	,	,	PUNCT
ejpam-6820	126	20	r2	r2	PROPN
ejpam-6820	126	21	]	]	PUNCT
ejpam-6820	126	22	.	.	PUNCT
ejpam-6820	126	23	.	.	PUNCT
ejpam-6820	126	24	.	.	PUNCT
ejpam-6820	127	1	a(r	a(r	NOUN
ejpam-6820	127	2	)	)	PUNCT
ejpam-6820	127	3	=	=	SYM
ejpam-6820	128	1	∫	∫	PROPN
ejpam-6820	128	2	r	r	NOUN
ejpam-6820	128	3	0	0	NUM
ejpam-6820	128	4	pm(r	pm(r	NOUN
ejpam-6820	128	5	−	−	PROPN
ejpam-6820	129	1	q)δdq	q)δdq	NOUN
ejpam-6820	129	2	+	+	PUNCT
ejpam-6820	129	3	x∑	x∑	X
ejpam-6820	130	1	g=1	g=1	PROPN
ejpam-6820	130	2	ug	ug	ADP
ejpam-6820	130	3	r	r	NOUN
ejpam-6820	130	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	130	5	+	+	CCONJ
ejpam-6820	130	6	s∑	s∑	PROPN
ejpam-6820	130	7	θ=1	θ=1	ADP
ejpam-6820	130	8	jθ(a(r	jθ(a(r	NUM
ejpam-6820	130	9	−	−	PROPN
ejpam-6820	130	10	θ	θ	NOUN
ejpam-6820	130	11	)	)	PUNCT
ejpam-6820	130	12	)	)	PUNCT
ejpam-6820	131	1	+	+	CCONJ
ejpam-6820	131	2	∫	∫	X
ejpam-6820	131	3	r	r	NOUN
ejpam-6820	131	4	0	0	NUM
ejpam-6820	131	5	(	(	PUNCT
ejpam-6820	131	6	r	r	NOUN
ejpam-6820	131	7	−	−	PROPN
ejpam-6820	131	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	131	9	,	,	PUNCT
ejpam-6820	131	10	m(r	m(r	PROPN
ejpam-6820	131	11	−	−	PROPN
ejpam-6820	131	12	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	131	13	)	)	PUNCT
ejpam-6820	131	14	for	for	ADP
ejpam-6820	131	15	r	r	PROPN
ejpam-6820	131	16	∈	∈	PROPN
ejpam-6820	131	17	(	(	PUNCT
ejpam-6820	131	18	rt	rt	PROPN
ejpam-6820	131	19	,	,	PUNCT
ejpam-6820	131	20	rt	rt	PROPN
ejpam-6820	131	21	+	+	NOUN
ejpam-6820	131	22	1	1	NUM
ejpam-6820	131	23	]	]	PUNCT
ejpam-6820	131	24	,	,	PUNCT
ejpam-6820	131	25	t	t	PROPN
ejpam-6820	131	26	=	=	SYM
ejpam-6820	131	27	1	1	NUM
ejpam-6820	131	28	,	,	PUNCT
ejpam-6820	131	29	2	2	NUM
ejpam-6820	131	30	,	,	PUNCT
ejpam-6820	131	31	3	3	NUM
ejpam-6820	131	32	,	,	PUNCT
ejpam-6820	131	33	...	...	PUNCT
ejpam-6820	131	34	,	,	PUNCT
ejpam-6820	131	35	s	s	VERB
ejpam-6820	131	36	proof	proof	NOUN
ejpam-6820	131	37	:	:	PUNCT
ejpam-6820	131	38	if	if	SCONJ
ejpam-6820	131	39	r	r	NOUN
ejpam-6820	131	40	∈	∈	PROPN
ejpam-6820	131	41	(	(	PUNCT
ejpam-6820	131	42	0	0	NUM
ejpam-6820	131	43	,	,	PUNCT
ejpam-6820	131	44	r1	r1	PROPN
ejpam-6820	131	45	]	]	PUNCT
ejpam-6820	131	46	,	,	PUNCT
ejpam-6820	131	47	then	then	ADV
ejpam-6820	131	48	a(r	a(r	NOUN
ejpam-6820	131	49	)	)	PUNCT
ejpam-6820	131	50	=	=	SYM
ejpam-6820	132	1	∫	∫	PROPN
ejpam-6820	132	2	r	r	NOUN
ejpam-6820	132	3	0	0	NUM
ejpam-6820	132	4	pm(r	pm(r	NOUN
ejpam-6820	132	5	−	−	PROPN
ejpam-6820	133	1	q)δdq	q)δdq	NOUN
ejpam-6820	133	2	+	+	PUNCT
ejpam-6820	133	3	x∑	x∑	X
ejpam-6820	134	1	g=1	g=1	PROPN
ejpam-6820	134	2	ug	ug	ADP
ejpam-6820	134	3	r	r	NOUN
ejpam-6820	134	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	135	1	+	+	CCONJ
ejpam-6820	135	2	∫	∫	PROPN
ejpam-6820	135	3	r	r	NOUN
ejpam-6820	135	4	0	0	NUM
ejpam-6820	136	1	(	(	PUNCT
ejpam-6820	136	2	r	r	NOUN
ejpam-6820	136	3	−	−	PROPN
ejpam-6820	136	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	136	5	,	,	PUNCT
ejpam-6820	136	6	m(r	m(r	PROPN
ejpam-6820	136	7	−	−	PROPN
ejpam-6820	136	8	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	136	9	)	)	PUNCT
ejpam-6820	136	10	a(r1	a(r1	NOUN
ejpam-6820	136	11	)	)	PUNCT
ejpam-6820	137	1	=	=	SYM
ejpam-6820	137	2	∫	∫	PROPN
ejpam-6820	137	3	r1	r1	PROPN
ejpam-6820	137	4	0	0	NUM
ejpam-6820	137	5	pm(r1	pm(r1	NOUN
ejpam-6820	137	6	−	−	PROPN
ejpam-6820	138	1	q)δdq	q)δdq	PROPN
ejpam-6820	138	2	+	+	PUNCT
ejpam-6820	138	3	x∑	x∑	X
ejpam-6820	139	1	g=1	g=1	PROPN
ejpam-6820	139	2	ug	ug	ADP
ejpam-6820	139	3	r	r	NOUN
ejpam-6820	139	4	m−1	m−1	PROPN
ejpam-6820	139	5	1	1	NUM
ejpam-6820	139	6	pm,1+m−ng(r1)δ	pm,1+m−ng(r1)δ	PROPN
ejpam-6820	139	7	m.	m.	NOUN
ejpam-6820	139	8	lavanya	lavanya	NOUN
ejpam-6820	139	9	et	et	PROPN
ejpam-6820	139	10	al	al	PROPN
ejpam-6820	139	11	.	.	PUNCT
ejpam-6820	139	12	/	/	SYM
ejpam-6820	139	13	eur	eur	PROPN
ejpam-6820	139	14	.	.	PUNCT
ejpam-6820	140	1	j.	j.	PROPN
ejpam-6820	140	2	pure	pure	PROPN
ejpam-6820	140	3	appl	appl	PROPN
ejpam-6820	140	4	.	.	PROPN
ejpam-6820	140	5	math	math	PROPN
ejpam-6820	140	6	,	,	PUNCT
ejpam-6820	140	7	18	18	NUM
ejpam-6820	140	8	(	(	PUNCT
ejpam-6820	140	9	4	4	NUM
ejpam-6820	140	10	)	)	PUNCT
ejpam-6820	140	11	(	(	PUNCT
ejpam-6820	140	12	2025	2025	NUM
ejpam-6820	140	13	)	)	PUNCT
ejpam-6820	140	14	,	,	PUNCT
ejpam-6820	140	15	6820	6820	NUM
ejpam-6820	140	16	7	7	NUM
ejpam-6820	140	17	of	of	ADP
ejpam-6820	140	18	20	20	NUM
ejpam-6820	140	19	+	+	NUM
ejpam-6820	140	20	∫	∫	PROPN
ejpam-6820	140	21	r1	r1	PROPN
ejpam-6820	140	22	0	0	NUM
ejpam-6820	141	1	(	(	PUNCT
ejpam-6820	141	2	r1	r1	NOUN
ejpam-6820	141	3	−	−	PROPN
ejpam-6820	141	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	141	5	,	,	PUNCT
ejpam-6820	141	6	m(r1	m(r1	NOUN
ejpam-6820	142	1	−	−	PROPN
ejpam-6820	142	2	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	142	3	)	)	PUNCT
ejpam-6820	143	1	if	if	SCONJ
ejpam-6820	143	2	r	r	NOUN
ejpam-6820	143	3	∈	∈	PROPN
ejpam-6820	143	4	(	(	PUNCT
ejpam-6820	143	5	r1	r1	NOUN
ejpam-6820	143	6	,	,	PUNCT
ejpam-6820	143	7	r2	r2	PROPN
ejpam-6820	143	8	]	]	PUNCT
ejpam-6820	143	9	,	,	PUNCT
ejpam-6820	143	10	a(r	a(r	NOUN
ejpam-6820	143	11	)	)	PUNCT
ejpam-6820	143	12	=	=	SYM
ejpam-6820	143	13	a(r+1	a(r+1	PROPN
ejpam-6820	143	14	)	)	PUNCT
ejpam-6820	144	1	+	+	PUNCT
ejpam-6820	145	1	j1(a(r	j1(a(r	ADV
ejpam-6820	145	2	−	−	NOUN
ejpam-6820	145	3	1	1	NUM
ejpam-6820	145	4	)	)	PUNCT
ejpam-6820	145	5	)	)	PUNCT
ejpam-6820	145	6	−	−	PROPN
ejpam-6820	146	1	∫	∫	PROPN
ejpam-6820	146	2	r1	r1	PROPN
ejpam-6820	146	3	0	0	NUM
ejpam-6820	146	4	pm(r1	pm(r1	NOUN
ejpam-6820	146	5	−	−	PROPN
ejpam-6820	147	1	q)δdq	q)δdq	PROPN
ejpam-6820	147	2	+	+	PUNCT
ejpam-6820	147	3	x∑	x∑	X
ejpam-6820	148	1	g=1	g=1	PROPN
ejpam-6820	148	2	ug	ug	ADP
ejpam-6820	148	3	r	r	NOUN
ejpam-6820	148	4	m−1	m−1	PROPN
ejpam-6820	148	5	1	1	NUM
ejpam-6820	148	6	pm,1+m−ng(r1)δ	pm,1+m−ng(r1)δ	PROPN
ejpam-6820	148	7	+	+	CCONJ
ejpam-6820	148	8	∫	∫	PROPN
ejpam-6820	148	9	r1	r1	PROPN
ejpam-6820	148	10	0	0	NUM
ejpam-6820	149	1	(	(	PUNCT
ejpam-6820	149	2	r1	r1	NOUN
ejpam-6820	149	3	−	−	PROPN
ejpam-6820	149	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	149	5	,	,	PUNCT
ejpam-6820	149	6	m(r1	m(r1	NOUN
ejpam-6820	150	1	−	−	PROPN
ejpam-6820	150	2	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	150	3	)	)	PUNCT
ejpam-6820	151	1	+	+	NUM
ejpam-6820	151	2	∫	∫	PROPN
ejpam-6820	151	3	r	r	NOUN
ejpam-6820	151	4	0	0	NUM
ejpam-6820	151	5	pm(r	pm(r	NOUN
ejpam-6820	151	6	−	−	PROPN
ejpam-6820	152	1	q)δdq	q)δdq	NOUN
ejpam-6820	152	2	+	+	PUNCT
ejpam-6820	152	3	x∑	x∑	X
ejpam-6820	153	1	g=1	g=1	PROPN
ejpam-6820	153	2	ug	ug	ADP
ejpam-6820	153	3	r	r	NOUN
ejpam-6820	153	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	154	1	+	+	CCONJ
ejpam-6820	154	2	∫	∫	PROPN
ejpam-6820	154	3	r	r	NOUN
ejpam-6820	154	4	0	0	NUM
ejpam-6820	155	1	(	(	PUNCT
ejpam-6820	155	2	r	r	NOUN
ejpam-6820	155	3	−	−	PROPN
ejpam-6820	155	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	155	5	,	,	PUNCT
ejpam-6820	155	6	m(r	m(r	PROPN
ejpam-6820	155	7	−	−	PROPN
ejpam-6820	155	8	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	155	9	)	)	PUNCT
ejpam-6820	155	10	a(r	a(r	NOUN
ejpam-6820	155	11	)	)	PUNCT
ejpam-6820	155	12	=	=	SYM
ejpam-6820	156	1	∫	∫	PROPN
ejpam-6820	156	2	r	r	NOUN
ejpam-6820	156	3	0	0	NUM
ejpam-6820	156	4	pm(r	pm(r	NOUN
ejpam-6820	156	5	−	−	PROPN
ejpam-6820	157	1	q)δdq	q)δdq	NOUN
ejpam-6820	157	2	+	+	PUNCT
ejpam-6820	157	3	x∑	x∑	X
ejpam-6820	158	1	g=1	g=1	PROPN
ejpam-6820	158	2	ug	ug	ADP
ejpam-6820	158	3	r	r	NOUN
ejpam-6820	158	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	158	5	+	+	CCONJ
ejpam-6820	158	6	j1(a(r	j1(a(r	NOUN
ejpam-6820	158	7	−	−	NOUN
ejpam-6820	158	8	1	1	NUM
ejpam-6820	158	9	)	)	PUNCT
ejpam-6820	158	10	)	)	PUNCT
ejpam-6820	159	1	+	+	CCONJ
ejpam-6820	159	2	∫	∫	PROPN
ejpam-6820	159	3	r	r	NOUN
ejpam-6820	159	4	0	0	NUM
ejpam-6820	159	5	(	(	PUNCT
ejpam-6820	159	6	r	r	NOUN
ejpam-6820	159	7	−	−	PROPN
ejpam-6820	159	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	159	9	,	,	PUNCT
ejpam-6820	159	10	m(r	m(r	PROPN
ejpam-6820	159	11	−	−	PROPN
ejpam-6820	159	12	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	159	13	)	)	PUNCT
ejpam-6820	159	14	and	and	CCONJ
ejpam-6820	159	15	so	so	ADV
ejpam-6820	159	16	on	on	ADV
ejpam-6820	159	17	,	,	PUNCT
ejpam-6820	159	18	if	if	SCONJ
ejpam-6820	159	19	(	(	PUNCT
ejpam-6820	159	20	rt	rt	INTJ
ejpam-6820	159	21	,	,	PUNCT
ejpam-6820	159	22	rt+1	rt+1	PROPN
ejpam-6820	159	23	]	]	PUNCT
ejpam-6820	159	24	,	,	PUNCT
ejpam-6820	159	25	t	t	PROPN
ejpam-6820	159	26	=	=	SYM
ejpam-6820	159	27	1	1	NUM
ejpam-6820	159	28	,	,	PUNCT
ejpam-6820	159	29	2	2	NUM
ejpam-6820	159	30	,	,	PUNCT
ejpam-6820	159	31	3	3	NUM
ejpam-6820	159	32	,	,	PUNCT
ejpam-6820	159	33	...	...	PUNCT
ejpam-6820	159	34	,	,	PUNCT
ejpam-6820	159	35	s	s	X
ejpam-6820	159	36	,	,	PUNCT
ejpam-6820	159	37	then	then	ADV
ejpam-6820	159	38	the	the	DET
ejpam-6820	159	39	same	same	ADJ
ejpam-6820	159	40	argument	argument	NOUN
ejpam-6820	159	41	implies	imply	VERB
ejpam-6820	159	42	the	the	DET
ejpam-6820	159	43	following	follow	VERB
ejpam-6820	159	44	expression	expression	NOUN
ejpam-6820	159	45	as	as	ADP
ejpam-6820	159	46	a(r	a(r	NOUN
ejpam-6820	159	47	)	)	PUNCT
ejpam-6820	159	48	=	=	SYM
ejpam-6820	160	1	∫	∫	PROPN
ejpam-6820	160	2	r	r	NOUN
ejpam-6820	160	3	0	0	NUM
ejpam-6820	160	4	pm(r	pm(r	NOUN
ejpam-6820	160	5	−	−	PROPN
ejpam-6820	161	1	q)δdq	q)δdq	NOUN
ejpam-6820	161	2	+	+	PUNCT
ejpam-6820	161	3	x∑	x∑	X
ejpam-6820	162	1	g=1	g=1	PROPN
ejpam-6820	162	2	ug	ug	ADP
ejpam-6820	162	3	r	r	NOUN
ejpam-6820	162	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	162	5	+	+	CCONJ
ejpam-6820	162	6	s∑	s∑	PROPN
ejpam-6820	162	7	θ=1	θ=1	ADP
ejpam-6820	162	8	jθ(a(r	jθ(a(r	NUM
ejpam-6820	162	9	−	−	PROPN
ejpam-6820	162	10	θ	θ	NOUN
ejpam-6820	162	11	)	)	PUNCT
ejpam-6820	162	12	)	)	PUNCT
ejpam-6820	163	1	+	+	CCONJ
ejpam-6820	163	2	∫	∫	X
ejpam-6820	163	3	r	r	NOUN
ejpam-6820	163	4	0	0	NUM
ejpam-6820	163	5	(	(	PUNCT
ejpam-6820	163	6	r	r	NOUN
ejpam-6820	163	7	−	−	PROPN
ejpam-6820	163	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	163	9	,	,	PUNCT
ejpam-6820	163	10	m(r	m(r	PROPN
ejpam-6820	163	11	−	−	PROPN
ejpam-6820	163	12	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	163	13	)	)	PUNCT
ejpam-6820	163	14	4	4	NUM
ejpam-6820	163	15	.	.	X
ejpam-6820	163	16	controllability	controllability	NOUN
ejpam-6820	163	17	analysis	analysis	NOUN
ejpam-6820	163	18	cdma(r	cdma(r	PROPN
ejpam-6820	163	19	)	)	PUNCT
ejpam-6820	163	20	+	+	CCONJ
ejpam-6820	163	21	x∑	x∑	X
ejpam-6820	164	1	g=1	g=1	PROPN
ejpam-6820	164	2	ug	ug	ADP
ejpam-6820	164	3	cdnga(r	cdnga(r	NOUN
ejpam-6820	164	4	)	)	PUNCT
ejpam-6820	164	5	=	=	SYM
ejpam-6820	164	6	ka(r	ka(r	NOUN
ejpam-6820	164	7	)	)	PUNCT
ejpam-6820	165	1	+	+	CCONJ
ejpam-6820	165	2	ey(r	ey(r	NOUN
ejpam-6820	165	3	)	)	PUNCT
ejpam-6820	165	4	+	+	NOUN
ejpam-6820	165	5	h(r)dξ(r	h(r)dξ(r	NOUN
ejpam-6820	165	6	)	)	PUNCT
ejpam-6820	165	7	,	,	PUNCT
ejpam-6820	166	1	r	r	NOUN
ejpam-6820	166	2	∈	∈	PROPN
ejpam-6820	166	3	i	i	NOUN
ejpam-6820	166	4	=	=	SYM
ejpam-6820	166	5	(	(	PUNCT
ejpam-6820	166	6	0	0	NUM
ejpam-6820	166	7	,	,	PUNCT
ejpam-6820	166	8	z	z	NOUN
ejpam-6820	166	9	]	]	X
ejpam-6820	166	10	r	r	NOUN
ejpam-6820	166	11	6=	6=	NUM
ejpam-6820	166	12	rt,(5	rt,(5	NOUN
ejpam-6820	166	13	)	)	PUNCT
ejpam-6820	166	14	∆a(rt	∆a(rt	ADV
ejpam-6820	166	15	)	)	PUNCT
ejpam-6820	166	16	=	=	SYM
ejpam-6820	167	1	jt(a(r	jt(a(r	NOUN
ejpam-6820	167	2	−	−	PROPN
ejpam-6820	167	3	t	t	PROPN
ejpam-6820	167	4	)	)	PUNCT
ejpam-6820	167	5	)	)	PUNCT
ejpam-6820	167	6	,	,	PUNCT
ejpam-6820	167	7	t	t	NOUN
ejpam-6820	167	8	=	=	SYM
ejpam-6820	167	9	1	1	NUM
ejpam-6820	167	10	,	,	PUNCT
ejpam-6820	167	11	2	2	NUM
ejpam-6820	167	12	,	,	PUNCT
ejpam-6820	167	13	...	...	PUNCT
ejpam-6820	167	14	,	,	PUNCT
ejpam-6820	167	15	s	s	X
ejpam-6820	167	16	,	,	PUNCT
ejpam-6820	167	17	a′(0	a′(0	ADJ
ejpam-6820	167	18	)	)	PUNCT
ejpam-6820	167	19	=	=	SYM
ejpam-6820	167	20	δ	δ	PROPN
ejpam-6820	167	21	m.	m.	NOUN
ejpam-6820	167	22	lavanya	lavanya	NOUN
ejpam-6820	167	23	et	et	PROPN
ejpam-6820	167	24	al	al	PROPN
ejpam-6820	167	25	.	.	PUNCT
ejpam-6820	167	26	/	/	SYM
ejpam-6820	167	27	eur	eur	PROPN
ejpam-6820	167	28	.	.	PUNCT
ejpam-6820	168	1	j.	j.	PROPN
ejpam-6820	168	2	pure	pure	PROPN
ejpam-6820	168	3	appl	appl	PROPN
ejpam-6820	168	4	.	.	PROPN
ejpam-6820	168	5	math	math	PROPN
ejpam-6820	168	6	,	,	PUNCT
ejpam-6820	168	7	18	18	NUM
ejpam-6820	168	8	(	(	PUNCT
ejpam-6820	168	9	4	4	NUM
ejpam-6820	168	10	)	)	PUNCT
ejpam-6820	168	11	(	(	PUNCT
ejpam-6820	168	12	2025	2025	NUM
ejpam-6820	168	13	)	)	PUNCT
ejpam-6820	168	14	,	,	PUNCT
ejpam-6820	168	15	6820	6820	NUM
ejpam-6820	168	16	8	8	NUM
ejpam-6820	168	17	of	of	ADP
ejpam-6820	168	18	20	20	NUM
ejpam-6820	168	19	where	where	SCONJ
ejpam-6820	168	20	e	e	NOUN
ejpam-6820	168	21	:	:	PUNCT
ejpam-6820	168	22	υ	υ	X
ejpam-6820	168	23	→	→	X
ejpam-6820	168	24	a	a	PRON
ejpam-6820	168	25	is	be	AUX
ejpam-6820	168	26	a	a	DET
ejpam-6820	168	27	linear	linear	ADJ
ejpam-6820	168	28	bounded	bound	VERB
ejpam-6820	168	29	operator	operator	NOUN
ejpam-6820	168	30	and	and	CCONJ
ejpam-6820	168	31	y	y	PROPN
ejpam-6820	168	32	(	(	PUNCT
ejpam-6820	168	33	.	.	PUNCT
ejpam-6820	168	34	)	)	PUNCT
ejpam-6820	169	1	∈	∈	PROPN
ejpam-6820	170	1	υ	υ	NOUN
ejpam-6820	170	2	.	.	PUNCT
ejpam-6820	171	1	the	the	DET
ejpam-6820	171	2	solution	solution	NOUN
ejpam-6820	171	3	of	of	ADP
ejpam-6820	171	4	the	the	DET
ejpam-6820	171	5	system	system	NOUN
ejpam-6820	171	6	(	(	PUNCT
ejpam-6820	171	7	5	5	NUM
ejpam-6820	171	8	)	)	PUNCT
ejpam-6820	171	9	as	as	ADP
ejpam-6820	171	10	:	:	PUNCT
ejpam-6820	171	11	a(r	a(r	NOUN
ejpam-6820	171	12	)	)	PUNCT
ejpam-6820	171	13	=	=	SYM
ejpam-6820	172	1			NUM
ejpam-6820	172	2	∫	∫	PROPN
ejpam-6820	172	3	r	r	NOUN
ejpam-6820	172	4	0	0	NUM
ejpam-6820	172	5	pm(r	pm(r	NOUN
ejpam-6820	172	6	−	−	PROPN
ejpam-6820	173	1	q)δdq	q)δdq	PROPN
ejpam-6820	173	2	+	+	X
ejpam-6820	173	3	∑x	∑x	PROPN
ejpam-6820	173	4	g=1	g=1	PROPN
ejpam-6820	173	5	ug	ug	ADP
ejpam-6820	173	6	r	r	NOUN
ejpam-6820	173	7	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	173	8	+	+	CCONJ
ejpam-6820	174	1	∫	∫	PROPN
ejpam-6820	174	2	r	r	NOUN
ejpam-6820	174	3	0	0	NUM
ejpam-6820	175	1	(	(	PUNCT
ejpam-6820	175	2	r	r	NOUN
ejpam-6820	175	3	−	−	PROPN
ejpam-6820	175	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	175	5	,	,	PUNCT
ejpam-6820	175	6	m(r	m(r	NOUN
ejpam-6820	175	7	−	−	PROPN
ejpam-6820	175	8	q)ey(q)dq	q)ey(q)dq	PROPN
ejpam-6820	176	1	+	+	CCONJ
ejpam-6820	176	2	∫	∫	PROPN
ejpam-6820	176	3	r	r	NOUN
ejpam-6820	176	4	0	0	NUM
ejpam-6820	177	1	(	(	PUNCT
ejpam-6820	177	2	r	r	NOUN
ejpam-6820	177	3	−	−	PROPN
ejpam-6820	177	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	177	5	,	,	PUNCT
ejpam-6820	177	6	m(r	m(r	PROPN
ejpam-6820	177	7	−	−	PROPN
ejpam-6820	177	8	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	177	9	)	)	PUNCT
ejpam-6820	177	10	for	for	ADP
ejpam-6820	177	11	r	r	PROPN
ejpam-6820	177	12	∈	∈	PROPN
ejpam-6820	177	13	(	(	PUNCT
ejpam-6820	177	14	o	o	NOUN
ejpam-6820	177	15	,	,	PUNCT
ejpam-6820	177	16	r1	r1	PROPN
ejpam-6820	177	17	]	]	PUNCT
ejpam-6820	177	18	∫	∫	PROPN
ejpam-6820	177	19	r	r	NOUN
ejpam-6820	177	20	0	0	NUM
ejpam-6820	177	21	pm(r	pm(r	NOUN
ejpam-6820	177	22	−	−	PROPN
ejpam-6820	177	23	q)δdq	q)δdq	PROPN
ejpam-6820	177	24	+	+	X
ejpam-6820	177	25	∑x	∑x	PROPN
ejpam-6820	177	26	g=1	g=1	PROPN
ejpam-6820	177	27	ug	ug	ADP
ejpam-6820	177	28	r	r	NOUN
ejpam-6820	177	29	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	177	30	+	+	CCONJ
ejpam-6820	178	1	∑s	∑s	PROPN
ejpam-6820	178	2	θ=1	θ=1	ADP
ejpam-6820	178	3	jθ(a(r	jθ(a(r	NOUN
ejpam-6820	178	4	−	−	PROPN
ejpam-6820	178	5	θ	θ	NOUN
ejpam-6820	178	6	)	)	PUNCT
ejpam-6820	178	7	)	)	PUNCT
ejpam-6820	179	1	+	+	CCONJ
ejpam-6820	179	2	∫	∫	X
ejpam-6820	179	3	r	r	NOUN
ejpam-6820	179	4	0	0	NUM
ejpam-6820	179	5	(	(	PUNCT
ejpam-6820	179	6	r	r	NOUN
ejpam-6820	179	7	−	−	PROPN
ejpam-6820	179	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	179	9	,	,	PUNCT
ejpam-6820	179	10	m(r	m(r	NOUN
ejpam-6820	179	11	−	−	PROPN
ejpam-6820	179	12	q)ey(q)dq	q)ey(q)dq	PROPN
ejpam-6820	180	1	+	+	CCONJ
ejpam-6820	180	2	∫	∫	PROPN
ejpam-6820	180	3	r	r	NOUN
ejpam-6820	180	4	0	0	NUM
ejpam-6820	181	1	(	(	PUNCT
ejpam-6820	181	2	r	r	NOUN
ejpam-6820	181	3	−	−	PROPN
ejpam-6820	181	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	181	5	,	,	PUNCT
ejpam-6820	181	6	m(r	m(r	PROPN
ejpam-6820	181	7	−	−	PROPN
ejpam-6820	181	8	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	181	9	)	)	PUNCT
ejpam-6820	181	10	for	for	ADP
ejpam-6820	181	11	r	r	PROPN
ejpam-6820	181	12	∈	∈	PROPN
ejpam-6820	181	13	(	(	PUNCT
ejpam-6820	181	14	rt	rt	PROPN
ejpam-6820	181	15	,	,	PUNCT
ejpam-6820	181	16	rt	rt	PROPN
ejpam-6820	181	17	+	+	NOUN
ejpam-6820	181	18	1	1	NUM
ejpam-6820	181	19	]	]	PUNCT
ejpam-6820	181	20	,	,	PUNCT
ejpam-6820	181	21	t	t	PROPN
ejpam-6820	181	22	=	=	SYM
ejpam-6820	181	23	1	1	NUM
ejpam-6820	181	24	,	,	PUNCT
ejpam-6820	181	25	2	2	NUM
ejpam-6820	181	26	,	,	PUNCT
ejpam-6820	181	27	3	3	NUM
ejpam-6820	181	28	,	,	PUNCT
ejpam-6820	181	29	...	...	PUNCT
ejpam-6820	181	30	,	,	PUNCT
ejpam-6820	181	31	s	s	AUX
ejpam-6820	181	32	now	now	ADV
ejpam-6820	181	33	,	,	PUNCT
ejpam-6820	181	34	consider	consider	VERB
ejpam-6820	181	35	cdma(r	cdma(r	NOUN
ejpam-6820	181	36	)	)	PUNCT
ejpam-6820	182	1	+	+	CCONJ
ejpam-6820	183	1	x∑	x∑	X
ejpam-6820	183	2	g=1	g=1	PROPN
ejpam-6820	183	3	ug	ug	ADP
ejpam-6820	183	4	cdnga(r	cdnga(r	NOUN
ejpam-6820	183	5	)	)	PUNCT
ejpam-6820	183	6	=	=	SYM
ejpam-6820	183	7	ka(r	ka(r	NOUN
ejpam-6820	183	8	)	)	PUNCT
ejpam-6820	184	1	+	+	CCONJ
ejpam-6820	184	2	ey(r	ey(r	NOUN
ejpam-6820	184	3	)	)	PUNCT
ejpam-6820	184	4	+	+	NOUN
ejpam-6820	184	5	h(r)dξ(r	h(r)dξ(r	NOUN
ejpam-6820	184	6	)	)	PUNCT
ejpam-6820	184	7	,	,	PUNCT
ejpam-6820	185	1	r	r	NOUN
ejpam-6820	185	2	∈	∈	PROPN
ejpam-6820	185	3	i	i	NOUN
ejpam-6820	185	4	=	=	SYM
ejpam-6820	185	5	(	(	PUNCT
ejpam-6820	185	6	0	0	NUM
ejpam-6820	185	7	,	,	PUNCT
ejpam-6820	185	8	z	z	NOUN
ejpam-6820	185	9	]	]	X
ejpam-6820	185	10	,	,	PUNCT
ejpam-6820	185	11	(	(	PUNCT
ejpam-6820	185	12	6	6	X
ejpam-6820	185	13	)	)	PUNCT
ejpam-6820	185	14	a′(0	a′(0	NOUN
ejpam-6820	185	15	)	)	PUNCT
ejpam-6820	185	16	=	=	SYM
ejpam-6820	185	17	δ	δ	PROPN
ejpam-6820	185	18	theorem	theorem	VERB
ejpam-6820	185	19	1	1	NUM
ejpam-6820	185	20	.	.	PUNCT
ejpam-6820	186	1	the	the	DET
ejpam-6820	186	2	system	system	NOUN
ejpam-6820	186	3	(	(	PUNCT
ejpam-6820	186	4	6	6	NUM
ejpam-6820	186	5	)	)	PUNCT
ejpam-6820	186	6	is	be	AUX
ejpam-6820	186	7	controllable	controllable	ADJ
ejpam-6820	186	8	on	on	ADP
ejpam-6820	186	9	[	[	X
ejpam-6820	186	10	0,z	0,z	X
ejpam-6820	186	11	]	]	X
ejpam-6820	186	12	iff	iff	VERB
ejpam-6820	186	13	the	the	DET
ejpam-6820	186	14	grammian	grammian	ADJ
ejpam-6820	186	15	operator	operator	NOUN
ejpam-6820	186	16	bk	bk	PROPN
ejpam-6820	186	17	m	m	PROPN
ejpam-6820	186	18	,	,	PUNCT
ejpam-6820	186	19	ng	ng	PROPN
ejpam-6820	187	1	[	[	X
ejpam-6820	187	2	0	0	NUM
ejpam-6820	187	3	,	,	PUNCT
ejpam-6820	187	4	z	z	NOUN
ejpam-6820	187	5	]	]	X
ejpam-6820	187	6	=	=	PUNCT
ejpam-6820	187	7	∫	∫	PROPN
ejpam-6820	187	8	z	z	PROPN
ejpam-6820	187	9	0	0	NUM
ejpam-6820	188	1	(	(	PUNCT
ejpam-6820	188	2	z	z	NOUN
ejpam-6820	188	3	−	−	PROPN
ejpam-6820	188	4	q)2m−2[pm	q)2m−2[pm	PROPN
ejpam-6820	188	5	,	,	PUNCT
ejpam-6820	188	6	m(z	m(z	PROPN
ejpam-6820	188	7	−	−	PROPN
ejpam-6820	188	8	q)]ee∗[pm	q)]ee∗[pm	PROPN
ejpam-6820	188	9	,	,	PUNCT
ejpam-6820	188	10	m(z	m(z	PROPN
ejpam-6820	188	11	−	−	PROPN
ejpam-6820	189	1	q)]∗dq	q)]∗dq	INTJ
ejpam-6820	189	2	(	(	PUNCT
ejpam-6820	189	3	7	7	NUM
ejpam-6820	189	4	)	)	PUNCT
ejpam-6820	189	5	is	be	AUX
ejpam-6820	189	6	positive	positive	ADJ
ejpam-6820	189	7	definite	definite	ADJ
ejpam-6820	189	8	,	,	PUNCT
ejpam-6820	189	9	here	here	ADV
ejpam-6820	189	10	*	*	PUNCT
ejpam-6820	189	11	represents	represent	VERB
ejpam-6820	189	12	adjoint	adjoint	NOUN
ejpam-6820	189	13	operator	operator	NOUN
ejpam-6820	189	14	.	.	PUNCT
ejpam-6820	190	1	proof	proof	NOUN
ejpam-6820	190	2	:	:	PUNCT
ejpam-6820	190	3	let	let	VERB
ejpam-6820	190	4	system	system	NOUN
ejpam-6820	190	5	(	(	PUNCT
ejpam-6820	190	6	6	6	NUM
ejpam-6820	190	7	)	)	PUNCT
ejpam-6820	190	8	is	be	AUX
ejpam-6820	190	9	controllable	controllable	ADJ
ejpam-6820	190	10	on	on	ADP
ejpam-6820	190	11	[	[	X
ejpam-6820	190	12	0,z	0,z	X
ejpam-6820	190	13	]	]	X
ejpam-6820	190	14	.	.	PUNCT
ejpam-6820	191	1	now	now	ADV
ejpam-6820	191	2	,	,	PUNCT
ejpam-6820	191	3	our	our	PRON
ejpam-6820	191	4	claim	claim	NOUN
ejpam-6820	191	5	is	be	AUX
ejpam-6820	191	6	bk	bk	NOUN
ejpam-6820	191	7	m	m	PROPN
ejpam-6820	191	8	,	,	PUNCT
ejpam-6820	191	9	ng	ng	PROPN
ejpam-6820	192	1	[	[	X
ejpam-6820	192	2	0	0	NUM
ejpam-6820	192	3	,	,	PUNCT
ejpam-6820	192	4	z	z	NOUN
ejpam-6820	192	5	]	]	X
ejpam-6820	192	6	6=	6=	ADP
ejpam-6820	192	7	0	0	NUM
ejpam-6820	192	8	suppose	suppose	VERB
ejpam-6820	192	9	take	take	VERB
ejpam-6820	192	10	the	the	DET
ejpam-6820	192	11	operator	operator	NOUN
ejpam-6820	192	12	bk	bk	NOUN
ejpam-6820	192	13	m	m	PROPN
ejpam-6820	192	14	,	,	PUNCT
ejpam-6820	192	15	ng	ng	PROPN
ejpam-6820	193	1	[	[	X
ejpam-6820	193	2	0	0	NUM
ejpam-6820	193	3	,	,	PUNCT
ejpam-6820	193	4	z	z	NOUN
ejpam-6820	193	5	]	]	X
ejpam-6820	193	6	=	=	SYM
ejpam-6820	193	7	0	0	NUM
ejpam-6820	193	8	,	,	PUNCT
ejpam-6820	193	9	∃	∃	PROPN
ejpam-6820	193	10	a	a	DET
ejpam-6820	193	11	vector	vector	NOUN
ejpam-6820	193	12	d	d	X
ejpam-6820	193	13	∈	∈	PROPN
ejpam-6820	193	14	r	r	NOUN
ejpam-6820	193	15	3	3	NUM
ejpam-6820	193	16	:	:	PUNCT
ejpam-6820	193	17	d∗bk	d∗bk	PROPN
ejpam-6820	193	18	m	m	PROPN
ejpam-6820	193	19	,	,	PUNCT
ejpam-6820	193	20	ng	ng	PROPN
ejpam-6820	194	1	[	[	X
ejpam-6820	194	2	0	0	NUM
ejpam-6820	194	3	,	,	PUNCT
ejpam-6820	194	4	z]d	z]d	NOUN
ejpam-6820	195	1	=	=	SYM
ejpam-6820	195	2	0	0	NUM
ejpam-6820	195	3	ie	ie	NOUN
ejpam-6820	195	4	)	)	PUNCT
ejpam-6820	195	5	d∗	d∗	PROPN
ejpam-6820	195	6	∫	∫	PROPN
ejpam-6820	195	7	z	z	PROPN
ejpam-6820	195	8	0	0	NUM
ejpam-6820	196	1	(	(	PUNCT
ejpam-6820	196	2	z	z	NOUN
ejpam-6820	196	3	−	−	PROPN
ejpam-6820	196	4	q)2m−2[pm	q)2m−2[pm	PROPN
ejpam-6820	196	5	,	,	PUNCT
ejpam-6820	196	6	m(z	m(z	PROPN
ejpam-6820	196	7	−	−	PROPN
ejpam-6820	196	8	q)]ee∗[pm	q)]ee∗[pm	PROPN
ejpam-6820	196	9	,	,	PUNCT
ejpam-6820	196	10	m(z	m(z	PROPN
ejpam-6820	196	11	−	−	PROPN
ejpam-6820	196	12	q)]∗dqd	q)]∗dqd	NOUN
ejpam-6820	196	13	=	=	NOUN
ejpam-6820	196	14	0	0	PUNCT
ejpam-6820	197	1	then	then	ADV
ejpam-6820	197	2	,	,	PUNCT
ejpam-6820	197	3	d∗(z	d∗(z	NOUN
ejpam-6820	197	4	−	−	NOUN
ejpam-6820	197	5	q)m−1[pm	q)m−1[pm	PROPN
ejpam-6820	197	6	,	,	PUNCT
ejpam-6820	197	7	m(z	m(z	PROPN
ejpam-6820	197	8	−	−	PROPN
ejpam-6820	197	9	q)]e	q)]e	NOUN
ejpam-6820	197	10	=	=	NOUN
ejpam-6820	197	11	0	0	PUNCT
ejpam-6820	197	12	(	(	PUNCT
ejpam-6820	197	13	8)	8)	NUM
ejpam-6820	197	14	on	on	ADP
ejpam-6820	197	15	[	[	X
ejpam-6820	197	16	0,z	0,z	X
ejpam-6820	197	17	]	]	X
ejpam-6820	197	18	.	.	PUNCT
ejpam-6820	198	1	∃	∃	PROPN
ejpam-6820	198	2	a	a	DET
ejpam-6820	198	3	control	control	NOUN
ejpam-6820	198	4	function	function	NOUN
ejpam-6820	198	5	y(r	y(r	NOUN
ejpam-6820	198	6	)	)	PUNCT
ejpam-6820	198	7	steers	steer	VERB
ejpam-6820	198	8	the	the	DET
ejpam-6820	198	9	response	response	NOUN
ejpam-6820	198	10	from	from	ADP
ejpam-6820	198	11	initial	initial	ADJ
ejpam-6820	198	12	0	0	NUM
ejpam-6820	198	13	to	to	ADP
ejpam-6820	198	14	final	final	ADJ
ejpam-6820	198	15	a(z	a(z	NOUN
ejpam-6820	198	16	)	)	PUNCT
ejpam-6820	198	17	=	=	SYM
ejpam-6820	199	1	d	d	NOUN
ejpam-6820	199	2	at	at	ADP
ejpam-6820	199	3	r	r	NOUN
ejpam-6820	199	4	=	=	PUNCT
ejpam-6820	199	5	z.	z.	PROPN
ejpam-6820	199	6	then	then	ADV
ejpam-6820	199	7	,	,	PUNCT
ejpam-6820	199	8	d	d	PROPN
ejpam-6820	199	9	=	=	SYM
ejpam-6820	199	10	∫	∫	PROPN
ejpam-6820	199	11	z	z	PROPN
ejpam-6820	199	12	0	0	NUM
ejpam-6820	200	1	(	(	PUNCT
ejpam-6820	200	2	z	z	AUX
ejpam-6820	200	3	−	−	PROPN
ejpam-6820	200	4	q)2m−2[pm	q)2m−2[pm	PROPN
ejpam-6820	200	5	,	,	PUNCT
ejpam-6820	200	6	m(z	m(z	PROPN
ejpam-6820	200	7	−	−	PROPN
ejpam-6820	200	8	q)]ey(q)dq	q)]ey(q)dq	PROPN
ejpam-6820	200	9	by	by	ADP
ejpam-6820	200	10	apply	apply	VERB
ejpam-6820	200	11	d∗	d∗	NOUN
ejpam-6820	200	12	on	on	ADP
ejpam-6820	200	13	both	both	DET
ejpam-6820	200	14	side	side	NOUN
ejpam-6820	200	15	,	,	PUNCT
ejpam-6820	200	16	d∗d	d∗d	PROPN
ejpam-6820	200	17	=	=	SYM
ejpam-6820	200	18	∫	∫	PROPN
ejpam-6820	200	19	z	z	NOUN
ejpam-6820	200	20	0	0	NUM
ejpam-6820	201	1	(	(	PUNCT
ejpam-6820	201	2	z	z	NOUN
ejpam-6820	201	3	−	−	PROPN
ejpam-6820	201	4	q)2m−2d∗[pm	q)2m−2d∗[pm	PROPN
ejpam-6820	201	5	,	,	PUNCT
ejpam-6820	201	6	m(z	m(z	PROPN
ejpam-6820	201	7	−	−	PROPN
ejpam-6820	202	1	q)]ey(q)dq	q)]ey(q)dq	PROPN
ejpam-6820	203	1	m.	m.	NOUN
ejpam-6820	204	1	lavanya	lavanya	NOUN
ejpam-6820	205	1	et	et	PROPN
ejpam-6820	206	1	al	al	PROPN
ejpam-6820	206	2	.	.	PUNCT
ejpam-6820	206	3	/	/	SYM
ejpam-6820	206	4	eur	eur	PROPN
ejpam-6820	206	5	.	.	PUNCT
ejpam-6820	207	1	j.	j.	PROPN
ejpam-6820	207	2	pure	pure	PROPN
ejpam-6820	207	3	appl	appl	PROPN
ejpam-6820	207	4	.	.	PROPN
ejpam-6820	207	5	math	math	PROPN
ejpam-6820	207	6	,	,	PUNCT
ejpam-6820	207	7	18	18	NUM
ejpam-6820	207	8	(	(	PUNCT
ejpam-6820	207	9	4	4	NUM
ejpam-6820	207	10	)	)	PUNCT
ejpam-6820	207	11	(	(	PUNCT
ejpam-6820	207	12	2025	2025	NUM
ejpam-6820	207	13	)	)	PUNCT
ejpam-6820	207	14	,	,	PUNCT
ejpam-6820	207	15	6820	6820	NUM
ejpam-6820	207	16	9	9	NUM
ejpam-6820	207	17	of	of	ADP
ejpam-6820	207	18	20	20	NUM
ejpam-6820	207	19	which	which	PRON
ejpam-6820	207	20	implies	imply	VERB
ejpam-6820	207	21	d∗d	d∗d	PROPN
ejpam-6820	207	22	=	=	SYM
ejpam-6820	207	23	0	0	NUM
ejpam-6820	207	24	by	by	ADP
ejpam-6820	207	25	equation	equation	NOUN
ejpam-6820	207	26	(	(	PUNCT
ejpam-6820	207	27	8)	8)	NUM
ejpam-6820	207	28	⇒	⇒	NOUN
ejpam-6820	207	29	d	d	X
ejpam-6820	207	30	=	=	SYM
ejpam-6820	207	31	0	0	PROPN
ejpam-6820	207	32	.	.	NOUN
ejpam-6820	207	33	which	which	PRON
ejpam-6820	207	34	is	be	AUX
ejpam-6820	207	35	a	a	DET
ejpam-6820	207	36	⇒	⇒	NOUN
ejpam-6820	207	37	⇐	⇐	ADP
ejpam-6820	207	38	to	to	ADP
ejpam-6820	207	39	assumption	assumption	NOUN
ejpam-6820	207	40	d	d	PROPN
ejpam-6820	207	41	6=	6=	PROPN
ejpam-6820	207	42	0	0	NUM
ejpam-6820	207	43	.	.	PUNCT
ejpam-6820	208	1	hence	hence	ADV
ejpam-6820	208	2	bk	bk	ADP
ejpam-6820	208	3	m	m	PROPN
ejpam-6820	208	4	,	,	PUNCT
ejpam-6820	208	5	ng	ng	PROPN
ejpam-6820	209	1	[	[	X
ejpam-6820	209	2	0	0	NUM
ejpam-6820	209	3	,	,	PUNCT
ejpam-6820	209	4	z	z	NOUN
ejpam-6820	209	5	]	]	X
ejpam-6820	209	6	6=	6=	ADP
ejpam-6820	209	7	0	0	NUM
ejpam-6820	209	8	.	.	PUNCT
ejpam-6820	210	1	conversely	conversely	ADV
ejpam-6820	210	2	,	,	PUNCT
ejpam-6820	210	3	bk	bk	PROPN
ejpam-6820	210	4	m	m	PROPN
ejpam-6820	210	5	,	,	PUNCT
ejpam-6820	210	6	ng	ng	PROPN
ejpam-6820	211	1	[	[	X
ejpam-6820	211	2	0	0	NUM
ejpam-6820	211	3	,	,	PUNCT
ejpam-6820	211	4	z	z	NOUN
ejpam-6820	211	5	]	]	X
ejpam-6820	211	6	6=	6=	ADP
ejpam-6820	211	7	0	0	NUM
ejpam-6820	211	8	,	,	PUNCT
ejpam-6820	211	9	so	so	CCONJ
ejpam-6820	211	10	the	the	DET
ejpam-6820	211	11	linear	linear	ADJ
ejpam-6820	211	12	operator	operator	NOUN
ejpam-6820	211	13	bk	bk	NOUN
ejpam-6820	211	14	m	m	PROPN
ejpam-6820	211	15	,	,	PUNCT
ejpam-6820	211	16	ng	ng	PROPN
ejpam-6820	212	1	[	[	X
ejpam-6820	212	2	0	0	NUM
ejpam-6820	212	3	,	,	PUNCT
ejpam-6820	212	4	z	z	NOUN
ejpam-6820	212	5	]	]	X
ejpam-6820	212	6	is	be	AUX
ejpam-6820	212	7	invertible	invertible	ADJ
ejpam-6820	212	8	.	.	PUNCT
ejpam-6820	213	1	if	if	SCONJ
ejpam-6820	213	2	r	r	NOUN
ejpam-6820	213	3	=	=	SYM
ejpam-6820	213	4	0	0	NUM
ejpam-6820	213	5	and	and	CCONJ
ejpam-6820	213	6	r	r	NOUN
ejpam-6820	213	7	=	=	SYM
ejpam-6820	213	8	z	z	NOUN
ejpam-6820	213	9	on	on	ADP
ejpam-6820	213	10	the	the	DET
ejpam-6820	213	11	solution	solution	NOUN
ejpam-6820	213	12	of	of	ADP
ejpam-6820	213	13	the	the	DET
ejpam-6820	213	14	equation	equation	NOUN
ejpam-6820	213	15	(	(	PUNCT
ejpam-6820	213	16	6	6	NUM
ejpam-6820	213	17	)	)	PUNCT
ejpam-6820	213	18	,	,	PUNCT
ejpam-6820	213	19	we	we	PRON
ejpam-6820	213	20	get	get	VERB
ejpam-6820	213	21	a(0	a(0	PROPN
ejpam-6820	213	22	)	)	PUNCT
ejpam-6820	213	23	=	=	SYM
ejpam-6820	213	24	0	0	NUM
ejpam-6820	213	25	;	;	PUNCT
ejpam-6820	213	26	a(z	a(z	PROPN
ejpam-6820	213	27	)	)	PUNCT
ejpam-6820	214	1	=	=	SYM
ejpam-6820	214	2	δ	δ	PROPN
ejpam-6820	214	3	evaluate	evaluate	VERB
ejpam-6820	214	4	the	the	DET
ejpam-6820	214	5	following	follow	VERB
ejpam-6820	214	6	non	non	ADJ
ejpam-6820	214	7	-	-	ADJ
ejpam-6820	214	8	linear	linear	ADJ
ejpam-6820	214	9	control	control	NOUN
ejpam-6820	214	10	system	system	NOUN
ejpam-6820	214	11	cdma(r	cdma(r	PROPN
ejpam-6820	214	12	)	)	PUNCT
ejpam-6820	214	13	+	+	CCONJ
ejpam-6820	214	14	x∑	x∑	X
ejpam-6820	214	15	g=1	g=1	PROPN
ejpam-6820	214	16	ug	ug	ADP
ejpam-6820	214	17	cdnga(r	cdnga(r	NOUN
ejpam-6820	214	18	)	)	PUNCT
ejpam-6820	214	19	=	=	SYM
ejpam-6820	214	20	ka(r	ka(r	NOUN
ejpam-6820	214	21	)	)	PUNCT
ejpam-6820	214	22	+	+	CCONJ
ejpam-6820	214	23	ey(r	ey(r	NOUN
ejpam-6820	214	24	)	)	PUNCT
ejpam-6820	215	1	+	+	X
ejpam-6820	215	2	v	v	X
ejpam-6820	215	3	(	(	PUNCT
ejpam-6820	215	4	r	r	NOUN
ejpam-6820	215	5	,	,	PUNCT
ejpam-6820	215	6	a(r	a(r	NOUN
ejpam-6820	215	7	)	)	PUNCT
ejpam-6820	215	8	)	)	PUNCT
ejpam-6820	216	1	+	+	ADP
ejpam-6820	216	2	h(r	h(r	ADJ
ejpam-6820	216	3	,	,	PUNCT
ejpam-6820	216	4	a(r))dξ(r	a(r))dξ(r	PROPN
ejpam-6820	216	5	)	)	PUNCT
ejpam-6820	216	6	,	,	PUNCT
ejpam-6820	216	7	(	(	PUNCT
ejpam-6820	216	8	9	9	X
ejpam-6820	216	9	)	)	PUNCT
ejpam-6820	216	10	r	r	NOUN
ejpam-6820	216	11	∈	∈	NOUN
ejpam-6820	216	12	i	i	NOUN
ejpam-6820	216	13	=	=	SYM
ejpam-6820	216	14	(	(	PUNCT
ejpam-6820	216	15	0	0	NUM
ejpam-6820	216	16	,	,	PUNCT
ejpam-6820	216	17	z	z	NOUN
ejpam-6820	216	18	]	]	X
ejpam-6820	216	19	r	r	X
ejpam-6820	216	20	6=	6=	PROPN
ejpam-6820	216	21	rt	rt	PROPN
ejpam-6820	216	22	,	,	PUNCT
ejpam-6820	216	23	∆a(rt	∆a(rt	NOUN
ejpam-6820	216	24	)	)	PUNCT
ejpam-6820	216	25	=	=	SYM
ejpam-6820	216	26	jt(a(r	jt(a(r	NOUN
ejpam-6820	216	27	−	−	PROPN
ejpam-6820	216	28	t	t	PROPN
ejpam-6820	216	29	)	)	PUNCT
ejpam-6820	216	30	)	)	PUNCT
ejpam-6820	216	31	,	,	PUNCT
ejpam-6820	216	32	t	t	NOUN
ejpam-6820	216	33	=	=	SYM
ejpam-6820	216	34	1	1	NUM
ejpam-6820	216	35	,	,	PUNCT
ejpam-6820	216	36	2	2	NUM
ejpam-6820	216	37	,	,	PUNCT
ejpam-6820	216	38	...	...	PUNCT
ejpam-6820	216	39	,	,	PUNCT
ejpam-6820	216	40	s	s	X
ejpam-6820	216	41	,	,	PUNCT
ejpam-6820	216	42	a′(0	a′(0	ADJ
ejpam-6820	216	43	)	)	PUNCT
ejpam-6820	216	44	=	=	SYM
ejpam-6820	216	45	δ	δ	PROPN
ejpam-6820	216	46	where	where	SCONJ
ejpam-6820	216	47	h	h	NOUN
ejpam-6820	216	48	:	:	PUNCT
ejpam-6820	217	1	i	i	PRON
ejpam-6820	217	2	×	×	VERB
ejpam-6820	217	3	r	r	NOUN
ejpam-6820	217	4	→	→	SYM
ejpam-6820	217	5	l0	l0	NOUN
ejpam-6820	217	6	2	2	NUM
ejpam-6820	217	7	is	be	AUX
ejpam-6820	217	8	a	a	DET
ejpam-6820	217	9	hilbert	hilbert	NOUN
ejpam-6820	217	10	schmidt	schmidt	NOUN
ejpam-6820	217	11	operator	operator	NOUN
ejpam-6820	217	12	,	,	PUNCT
ejpam-6820	217	13	and	and	CCONJ
ejpam-6820	217	14	v	v	NOUN
ejpam-6820	217	15	:	:	PUNCT
ejpam-6820	218	1	i	i	PRON
ejpam-6820	218	2	×	×	VERB
ejpam-6820	218	3	r	r	NOUN
ejpam-6820	218	4	→	→	SYM
ejpam-6820	218	5	r	r	NOUN
ejpam-6820	218	6	is	be	AUX
ejpam-6820	218	7	a	a	DET
ejpam-6820	218	8	real	real	ADJ
ejpam-6820	218	9	continuous	continuous	ADJ
ejpam-6820	218	10	function	function	NOUN
ejpam-6820	218	11	in	in	ADP
ejpam-6820	218	12	r.	r.	PROPN
ejpam-6820	218	13	the	the	DET
ejpam-6820	218	14	solution	solution	NOUN
ejpam-6820	218	15	of	of	ADP
ejpam-6820	218	16	the	the	DET
ejpam-6820	218	17	system	system	NOUN
ejpam-6820	218	18	(	(	PUNCT
ejpam-6820	218	19	9	9	NUM
ejpam-6820	218	20	)	)	PUNCT
ejpam-6820	218	21	as	as	ADP
ejpam-6820	218	22	:	:	PUNCT
ejpam-6820	218	23	a(r	a(r	NOUN
ejpam-6820	218	24	)	)	PUNCT
ejpam-6820	218	25	=	=	SYM
ejpam-6820	219	1			NUM
ejpam-6820	219	2	∫	∫	PROPN
ejpam-6820	219	3	r	r	NOUN
ejpam-6820	219	4	0	0	NUM
ejpam-6820	219	5	pm(r	pm(r	NOUN
ejpam-6820	219	6	−	−	PROPN
ejpam-6820	220	1	q)δdq	q)δdq	PROPN
ejpam-6820	220	2	+	+	X
ejpam-6820	220	3	∑x	∑x	PROPN
ejpam-6820	220	4	g=1	g=1	PROPN
ejpam-6820	220	5	ug	ug	ADP
ejpam-6820	220	6	r	r	NOUN
ejpam-6820	220	7	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	220	8	+	+	CCONJ
ejpam-6820	221	1	∫	∫	PROPN
ejpam-6820	221	2	r	r	NOUN
ejpam-6820	221	3	0	0	NUM
ejpam-6820	222	1	(	(	PUNCT
ejpam-6820	222	2	r	r	NOUN
ejpam-6820	222	3	−	−	PROPN
ejpam-6820	222	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	222	5	,	,	PUNCT
ejpam-6820	222	6	m(r	m(r	PROPN
ejpam-6820	222	7	−	−	PROPN
ejpam-6820	223	1	q)[v	q)[v	PROPN
ejpam-6820	223	2	(	(	PUNCT
ejpam-6820	223	3	q	q	PROPN
ejpam-6820	223	4	,	,	PUNCT
ejpam-6820	223	5	a(q	a(q	PROPN
ejpam-6820	223	6	)	)	PUNCT
ejpam-6820	223	7	)	)	PUNCT
ejpam-6820	224	1	+	+	NUM
ejpam-6820	225	1	ey(q)]dq	ey(q)]dq	NUM
ejpam-6820	225	2	+	+	NUM
ejpam-6820	225	3	∫	∫	PROPN
ejpam-6820	225	4	r	r	NOUN
ejpam-6820	225	5	0	0	NUM
ejpam-6820	226	1	(	(	PUNCT
ejpam-6820	226	2	r	r	NOUN
ejpam-6820	226	3	−	−	PROPN
ejpam-6820	226	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	226	5	,	,	PUNCT
ejpam-6820	226	6	m(r	m(r	NOUN
ejpam-6820	226	7	−	−	PROPN
ejpam-6820	226	8	q)h(q	q)h(q	NOUN
ejpam-6820	226	9	,	,	PUNCT
ejpam-6820	226	10	a(q))dξ(q	a(q))dξ(q	NOUN
ejpam-6820	226	11	)	)	PUNCT
ejpam-6820	226	12	for	for	ADP
ejpam-6820	226	13	r	r	PROPN
ejpam-6820	226	14	∈	∈	PROPN
ejpam-6820	226	15	(	(	PUNCT
ejpam-6820	226	16	o	o	NOUN
ejpam-6820	226	17	,	,	PUNCT
ejpam-6820	226	18	r1	r1	PROPN
ejpam-6820	226	19	]	]	PUNCT
ejpam-6820	226	20	∫	∫	PROPN
ejpam-6820	226	21	r	r	NOUN
ejpam-6820	226	22	0	0	NUM
ejpam-6820	226	23	pm(r	pm(r	NOUN
ejpam-6820	226	24	−	−	PROPN
ejpam-6820	226	25	q)δdq	q)δdq	PROPN
ejpam-6820	226	26	+	+	X
ejpam-6820	226	27	∑x	∑x	PROPN
ejpam-6820	226	28	g=1	g=1	PROPN
ejpam-6820	226	29	ug	ug	ADP
ejpam-6820	226	30	r	r	NOUN
ejpam-6820	226	31	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	226	32	+	+	CCONJ
ejpam-6820	227	1	∑s	∑s	PROPN
ejpam-6820	227	2	θ=1	θ=1	ADP
ejpam-6820	227	3	jθ(a(r	jθ(a(r	NOUN
ejpam-6820	227	4	−	−	PROPN
ejpam-6820	227	5	θ	θ	NOUN
ejpam-6820	227	6	)	)	PUNCT
ejpam-6820	227	7	)	)	PUNCT
ejpam-6820	228	1	+	+	CCONJ
ejpam-6820	228	2	∫	∫	X
ejpam-6820	228	3	r	r	NOUN
ejpam-6820	228	4	0	0	NUM
ejpam-6820	228	5	(	(	PUNCT
ejpam-6820	228	6	r	r	NOUN
ejpam-6820	228	7	−	−	PROPN
ejpam-6820	228	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	228	9	,	,	PUNCT
ejpam-6820	228	10	m(r	m(r	PROPN
ejpam-6820	228	11	−	−	PROPN
ejpam-6820	229	1	q)[v	q)[v	PROPN
ejpam-6820	229	2	(	(	PUNCT
ejpam-6820	229	3	q	q	PROPN
ejpam-6820	229	4	,	,	PUNCT
ejpam-6820	229	5	a(q	a(q	PROPN
ejpam-6820	229	6	)	)	PUNCT
ejpam-6820	229	7	)	)	PUNCT
ejpam-6820	230	1	+	+	NUM
ejpam-6820	231	1	ey(q)]dq	ey(q)]dq	NUM
ejpam-6820	231	2	+	+	NUM
ejpam-6820	231	3	∫	∫	PROPN
ejpam-6820	231	4	r	r	NOUN
ejpam-6820	231	5	0	0	NUM
ejpam-6820	232	1	(	(	PUNCT
ejpam-6820	232	2	r	r	NOUN
ejpam-6820	232	3	−	−	PROPN
ejpam-6820	232	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	232	5	,	,	PUNCT
ejpam-6820	232	6	m(r	m(r	NOUN
ejpam-6820	232	7	−	−	PROPN
ejpam-6820	232	8	q)h(q	q)h(q	NOUN
ejpam-6820	232	9	,	,	PUNCT
ejpam-6820	232	10	a(q))dξ(q	a(q))dξ(q	NOUN
ejpam-6820	232	11	)	)	PUNCT
ejpam-6820	232	12	for	for	ADP
ejpam-6820	232	13	r	r	PROPN
ejpam-6820	232	14	∈	∈	PROPN
ejpam-6820	232	15	(	(	PUNCT
ejpam-6820	232	16	rt	rt	PROPN
ejpam-6820	232	17	,	,	PUNCT
ejpam-6820	232	18	rt	rt	PROPN
ejpam-6820	232	19	+	+	NOUN
ejpam-6820	232	20	1	1	NUM
ejpam-6820	232	21	]	]	PUNCT
ejpam-6820	232	22	,	,	PUNCT
ejpam-6820	232	23	t	t	PROPN
ejpam-6820	232	24	=	=	SYM
ejpam-6820	232	25	1	1	NUM
ejpam-6820	232	26	,	,	PUNCT
ejpam-6820	232	27	2	2	NUM
ejpam-6820	232	28	,	,	PUNCT
ejpam-6820	232	29	3	3	NUM
ejpam-6820	232	30	,	,	PUNCT
ejpam-6820	232	31	...	...	PUNCT
ejpam-6820	232	32	,	,	PUNCT
ejpam-6820	232	33	s	s	AUX
ejpam-6820	232	34	let	let	VERB
ejpam-6820	232	35	us	we	PRON
ejpam-6820	232	36	consider	consider	VERB
ejpam-6820	232	37	the	the	DET
ejpam-6820	232	38	assumptions	assumption	NOUN
ejpam-6820	232	39	(	(	PUNCT
ejpam-6820	232	40	f11	f11	PROPN
ejpam-6820	232	41	)	)	PUNCT
ejpam-6820	232	42	:	:	PUNCT
ejpam-6820	232	43	for	for	ADP
ejpam-6820	232	44	any	any	DET
ejpam-6820	232	45	a	a	NOUN
ejpam-6820	232	46	,	,	PUNCT
ejpam-6820	232	47	γ	γ	PROPN
ejpam-6820	232	48	∈	∈	PROPN
ejpam-6820	232	49	c	c	NOUN
ejpam-6820	232	50	′(i	′(i	NOUN
ejpam-6820	232	51	,	,	PUNCT
ejpam-6820	232	52	r	r	NOUN
ejpam-6820	232	53	)	)	PUNCT
ejpam-6820	232	54	and	and	CCONJ
ejpam-6820	232	55	r	r	NOUN
ejpam-6820	232	56	∈	∈	PROPN
ejpam-6820	233	1	[	[	X
ejpam-6820	233	2	0	0	NUM
ejpam-6820	233	3	,	,	PUNCT
ejpam-6820	233	4	i	i	PRON
ejpam-6820	233	5	]	]	X
ejpam-6820	233	6	∃	∃	PROPN
ejpam-6820	233	7	a	a	DET
ejpam-6820	233	8	constant	constant	ADJ
ejpam-6820	233	9	β0	β0	NOUN
ejpam-6820	233	10	>	>	X
ejpam-6820	233	11	0	0	NUM
ejpam-6820	234	1	3	3	NUM
ejpam-6820	234	2	:	:	PUNCT
ejpam-6820	234	3	‖v	‖v	NOUN
ejpam-6820	234	4	(	(	PUNCT
ejpam-6820	234	5	r	r	NOUN
ejpam-6820	234	6	,	,	PUNCT
ejpam-6820	234	7	a)−	a)−	PROPN
ejpam-6820	234	8	v	v	NOUN
ejpam-6820	234	9	(	(	PUNCT
ejpam-6820	234	10	r	r	NOUN
ejpam-6820	234	11	,	,	PUNCT
ejpam-6820	234	12	γ)‖2	γ)‖2	ADJ
ejpam-6820	234	13	≤	≤	NUM
ejpam-6820	234	14	β0‖a−	β0‖a−	PROPN
ejpam-6820	234	15	γ‖2	γ‖2	NOUN
ejpam-6820	234	16	and	and	CCONJ
ejpam-6820	234	17	v	v	NOUN
ejpam-6820	234	18	(	(	PUNCT
ejpam-6820	234	19	r	r	NOUN
ejpam-6820	234	20	,	,	PUNCT
ejpam-6820	234	21	0	0	NUM
ejpam-6820	234	22	)	)	PUNCT
ejpam-6820	234	23	=	=	SYM
ejpam-6820	234	24	0	0	NUM
ejpam-6820	234	25	(	(	PUNCT
ejpam-6820	234	26	f12	f12	NOUN
ejpam-6820	234	27	)	)	PUNCT
ejpam-6820	234	28	:	:	PUNCT
ejpam-6820	234	29	for	for	ADP
ejpam-6820	234	30	any	any	DET
ejpam-6820	234	31	a	a	NOUN
ejpam-6820	234	32	,	,	PUNCT
ejpam-6820	234	33	γ	γ	PROPN
ejpam-6820	234	34	∈	∈	PROPN
ejpam-6820	234	35	c	c	NOUN
ejpam-6820	234	36	′(i	′(i	NOUN
ejpam-6820	234	37	,	,	PUNCT
ejpam-6820	234	38	r	r	NOUN
ejpam-6820	234	39	)	)	PUNCT
ejpam-6820	234	40	and	and	CCONJ
ejpam-6820	234	41	r	r	NOUN
ejpam-6820	234	42	∈	∈	PROPN
ejpam-6820	235	1	[	[	X
ejpam-6820	235	2	0	0	NUM
ejpam-6820	235	3	,	,	PUNCT
ejpam-6820	235	4	i	i	PRON
ejpam-6820	235	5	]	]	X
ejpam-6820	235	6	∃	∃	PROPN
ejpam-6820	235	7	a	a	DET
ejpam-6820	235	8	constant	constant	ADJ
ejpam-6820	235	9	β1	β1	PROPN
ejpam-6820	235	10	>	>	X
ejpam-6820	235	11	0	0	NUM
ejpam-6820	235	12	3	3	NUM
ejpam-6820	235	13	:	:	PUNCT
ejpam-6820	235	14	‖h(r	‖h(r	ADV
ejpam-6820	235	15	,	,	PUNCT
ejpam-6820	235	16	a)−h(r	a)−h(r	ADV
ejpam-6820	235	17	,	,	PUNCT
ejpam-6820	235	18	γ)‖2	γ)‖2	ADJ
ejpam-6820	235	19	≤	≤	NUM
ejpam-6820	235	20	β1‖a−	β1‖a−	PUNCT
ejpam-6820	235	21	γ‖2	γ‖2	NOUN
ejpam-6820	235	22	and	and	CCONJ
ejpam-6820	235	23	h(r	h(r	NOUN
ejpam-6820	235	24	,	,	PUNCT
ejpam-6820	235	25	0	0	NUM
ejpam-6820	235	26	)	)	PUNCT
ejpam-6820	235	27	=	=	SYM
ejpam-6820	235	28	0	0	NUM
ejpam-6820	235	29	(	(	PUNCT
ejpam-6820	235	30	f13	f13	PROPN
ejpam-6820	235	31	)	)	PUNCT
ejpam-6820	235	32	:	:	PUNCT
ejpam-6820	236	1	[	[	X
ejpam-6820	236	2	β0	β0	NOUN
ejpam-6820	236	3	+	+	CCONJ
ejpam-6820	236	4	β1]q0	β1]q0	PROPN
ejpam-6820	236	5	<	<	X
ejpam-6820	236	6	1	1	NUM
ejpam-6820	236	7	,	,	PUNCT
ejpam-6820	236	8	where	where	SCONJ
ejpam-6820	236	9	q0	q0	PROPN
ejpam-6820	236	10	=	=	SYM
ejpam-6820	236	11	∫	∫	PROPN
ejpam-6820	236	12	r	r	NOUN
ejpam-6820	236	13	0	0	NUM
ejpam-6820	237	1	(	(	PUNCT
ejpam-6820	237	2	r	r	NOUN
ejpam-6820	237	3	−	−	PROPN
ejpam-6820	237	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	237	5	,	,	PUNCT
ejpam-6820	237	6	m(r	m(r	NOUN
ejpam-6820	237	7	−	−	PROPN
ejpam-6820	237	8	q)dqs	q)dqs	PROPN
ejpam-6820	237	9	theorem	theorem	VERB
ejpam-6820	237	10	2	2	NUM
ejpam-6820	237	11	.	.	PUNCT
ejpam-6820	238	1	the	the	DET
ejpam-6820	238	2	system	system	NOUN
ejpam-6820	238	3	(	(	PUNCT
ejpam-6820	238	4	9	9	NUM
ejpam-6820	238	5	)	)	PUNCT
ejpam-6820	238	6	is	be	AUX
ejpam-6820	238	7	completely	completely	ADV
ejpam-6820	238	8	controllable	controllable	ADJ
ejpam-6820	238	9	on	on	ADP
ejpam-6820	238	10	[	[	X
ejpam-6820	238	11	0,i	0,i	X
ejpam-6820	238	12	]	]	X
ejpam-6820	238	13	with	with	ADP
ejpam-6820	238	14	m	m	PROPN
ejpam-6820	238	15	∈	∈	NOUN
ejpam-6820	238	16	(	(	PUNCT
ejpam-6820	238	17	1	1	NUM
ejpam-6820	238	18	,	,	PUNCT
ejpam-6820	238	19	2	2	NUM
ejpam-6820	238	20	)	)	PUNCT
ejpam-6820	238	21	and	and	CCONJ
ejpam-6820	238	22	ng	ng	PROPN
ejpam-6820	238	23	∈	∈	PROPN
ejpam-6820	238	24	(	(	PUNCT
ejpam-6820	238	25	0,m	0,m	NOUN
ejpam-6820	238	26	)	)	PUNCT
ejpam-6820	238	27	,	,	PUNCT
ejpam-6820	238	28	g=	g=	PROPN
ejpam-6820	238	29	1,2,	1,2,	NUM
ejpam-6820	238	30	..	..	PUNCT
ejpam-6820	238	31	,x	,x	PUNCT
ejpam-6820	238	32	provided	provide	VERB
ejpam-6820	238	33	that	that	SCONJ
ejpam-6820	239	1	[	[	X
ejpam-6820	239	2	β0	β0	NOUN
ejpam-6820	239	3	+	+	CCONJ
ejpam-6820	239	4	β1]q0	β1]q0	PROPN
ejpam-6820	239	5	<	<	X
ejpam-6820	239	6	1	1	NUM
ejpam-6820	239	7	m.	m.	NOUN
ejpam-6820	239	8	lavanya	lavanya	NOUN
ejpam-6820	239	9	et	et	PROPN
ejpam-6820	239	10	al	al	PROPN
ejpam-6820	239	11	.	.	PUNCT
ejpam-6820	239	12	/	/	SYM
ejpam-6820	239	13	eur	eur	PROPN
ejpam-6820	239	14	.	.	PUNCT
ejpam-6820	240	1	j.	j.	PROPN
ejpam-6820	240	2	pure	pure	PROPN
ejpam-6820	240	3	appl	appl	PROPN
ejpam-6820	240	4	.	.	PROPN
ejpam-6820	240	5	math	math	PROPN
ejpam-6820	240	6	,	,	PUNCT
ejpam-6820	240	7	18	18	NUM
ejpam-6820	240	8	(	(	PUNCT
ejpam-6820	240	9	4	4	NUM
ejpam-6820	240	10	)	)	PUNCT
ejpam-6820	240	11	(	(	PUNCT
ejpam-6820	240	12	2025	2025	NUM
ejpam-6820	240	13	)	)	PUNCT
ejpam-6820	240	14	,	,	PUNCT
ejpam-6820	240	15	6820	6820	NUM
ejpam-6820	240	16	10	10	NUM
ejpam-6820	240	17	of	of	ADP
ejpam-6820	240	18	20	20	NUM
ejpam-6820	240	19	proof	proof	NOUN
ejpam-6820	240	20	:	:	PUNCT
ejpam-6820	240	21	define	define	VERB
ejpam-6820	240	22	λ	λ	X
ejpam-6820	240	23	:	:	PUNCT
ejpam-6820	240	24	c′(i	c′(i	X
ejpam-6820	240	25	,	,	PUNCT
ejpam-6820	240	26	r	r	NOUN
ejpam-6820	240	27	)	)	PUNCT
ejpam-6820	240	28	→	→	SYM
ejpam-6820	240	29	c′(i	c′(i	NOUN
ejpam-6820	240	30	,	,	PUNCT
ejpam-6820	240	31	r	r	NOUN
ejpam-6820	240	32	)	)	PUNCT
ejpam-6820	240	33	,	,	PUNCT
ejpam-6820	240	34	for	for	ADP
ejpam-6820	240	35	each	each	DET
ejpam-6820	240	36	r	r	NOUN
ejpam-6820	240	37	∈	∈	PROPN
ejpam-6820	240	38	(	(	PUNCT
ejpam-6820	240	39	0	0	NUM
ejpam-6820	240	40	,	,	PUNCT
ejpam-6820	240	41	r1	r1	PROPN
ejpam-6820	240	42	]	]	PUNCT
ejpam-6820	240	43	we	we	PRON
ejpam-6820	240	44	obtain	obtain	VERB
ejpam-6820	240	45	(	(	PUNCT
ejpam-6820	240	46	λa)(r	λa)(r	PUNCT
ejpam-6820	240	47	)	)	PUNCT
ejpam-6820	241	1	=	=	SYM
ejpam-6820	242	1	∫	∫	PROPN
ejpam-6820	242	2	r	r	NOUN
ejpam-6820	242	3	0	0	NUM
ejpam-6820	242	4	pm(r	pm(r	NOUN
ejpam-6820	242	5	−	−	PROPN
ejpam-6820	243	1	q)δdq	q)δdq	NOUN
ejpam-6820	243	2	+	+	PUNCT
ejpam-6820	243	3	x∑	x∑	X
ejpam-6820	244	1	g=1	g=1	PROPN
ejpam-6820	244	2	ug	ug	ADP
ejpam-6820	244	3	r	r	NOUN
ejpam-6820	244	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	244	5	(	(	PUNCT
ejpam-6820	244	6	10	10	NUM
ejpam-6820	244	7	)	)	PUNCT
ejpam-6820	245	1	+	+	CCONJ
ejpam-6820	245	2	∫	∫	PROPN
ejpam-6820	245	3	r	r	NOUN
ejpam-6820	245	4	0	0	NUM
ejpam-6820	245	5	(	(	PUNCT
ejpam-6820	245	6	r	r	NOUN
ejpam-6820	245	7	−	−	PROPN
ejpam-6820	245	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	245	9	,	,	PUNCT
ejpam-6820	245	10	m(r	m(r	PROPN
ejpam-6820	245	11	−	−	PROPN
ejpam-6820	245	12	q)[v	q)[v	PROPN
ejpam-6820	245	13	(	(	PUNCT
ejpam-6820	245	14	q	q	PROPN
ejpam-6820	245	15	,	,	PUNCT
ejpam-6820	245	16	a(q	a(q	PROPN
ejpam-6820	245	17	)	)	PUNCT
ejpam-6820	245	18	)	)	PUNCT
ejpam-6820	246	1	+	+	NUM
ejpam-6820	247	1	ey(q)]dq	ey(q)]dq	NUM
ejpam-6820	247	2	+	+	NUM
ejpam-6820	247	3	∫	∫	PROPN
ejpam-6820	247	4	r	r	NOUN
ejpam-6820	247	5	0	0	NUM
ejpam-6820	248	1	(	(	PUNCT
ejpam-6820	248	2	r	r	NOUN
ejpam-6820	248	3	−	−	PROPN
ejpam-6820	248	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	248	5	,	,	PUNCT
ejpam-6820	248	6	m(r	m(r	NOUN
ejpam-6820	248	7	−	−	PROPN
ejpam-6820	248	8	q)h(q	q)h(q	NOUN
ejpam-6820	248	9	,	,	PUNCT
ejpam-6820	248	10	a(q))dξ(q	a(q))dξ(q	NOUN
ejpam-6820	248	11	)	)	PUNCT
ejpam-6820	248	12	for	for	ADP
ejpam-6820	248	13	each	each	DET
ejpam-6820	248	14	r	r	NOUN
ejpam-6820	248	15	∈	∈	PROPN
ejpam-6820	248	16	(	(	PUNCT
ejpam-6820	248	17	rt	rt	PROPN
ejpam-6820	248	18	,	,	PUNCT
ejpam-6820	248	19	rt+1	rt+1	PROPN
ejpam-6820	248	20	]	]	PUNCT
ejpam-6820	248	21	,	,	PUNCT
ejpam-6820	248	22	t	t	PROPN
ejpam-6820	248	23	=	=	SYM
ejpam-6820	248	24	1	1	NUM
ejpam-6820	248	25	,	,	PUNCT
ejpam-6820	248	26	2	2	NUM
ejpam-6820	248	27	,	,	PUNCT
ejpam-6820	248	28	3	3	NUM
ejpam-6820	248	29	...	...	PUNCT
ejpam-6820	248	30	,	,	PUNCT
ejpam-6820	248	31	s	s	AUX
ejpam-6820	248	32	,	,	PUNCT
ejpam-6820	248	33	we	we	PRON
ejpam-6820	248	34	obtain	obtain	VERB
ejpam-6820	248	35	(	(	PUNCT
ejpam-6820	248	36	λa)(r	λa)(r	PUNCT
ejpam-6820	248	37	)	)	PUNCT
ejpam-6820	249	1	=	=	SYM
ejpam-6820	250	1	∫	∫	PROPN
ejpam-6820	250	2	r	r	NOUN
ejpam-6820	250	3	0	0	NUM
ejpam-6820	250	4	pm(r	pm(r	NOUN
ejpam-6820	250	5	−	−	PROPN
ejpam-6820	251	1	q)δdq	q)δdq	NOUN
ejpam-6820	251	2	+	+	PUNCT
ejpam-6820	251	3	x∑	x∑	X
ejpam-6820	252	1	g=1	g=1	PROPN
ejpam-6820	252	2	ug	ug	ADP
ejpam-6820	252	3	r	r	NOUN
ejpam-6820	252	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	252	5	+	+	CCONJ
ejpam-6820	252	6	s∑	s∑	PROPN
ejpam-6820	252	7	θ=1	θ=1	ADP
ejpam-6820	252	8	jθ(a(r	jθ(a(r	NUM
ejpam-6820	252	9	−	−	PROPN
ejpam-6820	252	10	θ	θ	NOUN
ejpam-6820	252	11	)	)	PUNCT
ejpam-6820	252	12	)	)	PUNCT
ejpam-6820	253	1	(	(	PUNCT
ejpam-6820	253	2	11	11	NUM
ejpam-6820	253	3	)	)	PUNCT
ejpam-6820	254	1	+	+	NUM
ejpam-6820	254	2	∫	∫	PROPN
ejpam-6820	254	3	r	r	NOUN
ejpam-6820	254	4	0	0	NUM
ejpam-6820	254	5	(	(	PUNCT
ejpam-6820	254	6	r	r	NOUN
ejpam-6820	254	7	−	−	PROPN
ejpam-6820	254	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	254	9	,	,	PUNCT
ejpam-6820	254	10	m(r	m(r	PROPN
ejpam-6820	254	11	−	−	PROPN
ejpam-6820	254	12	q)[v	q)[v	PROPN
ejpam-6820	254	13	(	(	PUNCT
ejpam-6820	254	14	q	q	PROPN
ejpam-6820	254	15	,	,	PUNCT
ejpam-6820	254	16	a(q	a(q	PROPN
ejpam-6820	254	17	)	)	PUNCT
ejpam-6820	254	18	)	)	PUNCT
ejpam-6820	255	1	+	+	NUM
ejpam-6820	256	1	ey(q)]dq	ey(q)]dq	NUM
ejpam-6820	256	2	+	+	NUM
ejpam-6820	256	3	∫	∫	PROPN
ejpam-6820	256	4	r	r	NOUN
ejpam-6820	256	5	0	0	NUM
ejpam-6820	257	1	(	(	PUNCT
ejpam-6820	257	2	r	r	NOUN
ejpam-6820	257	3	−	−	PROPN
ejpam-6820	257	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	257	5	,	,	PUNCT
ejpam-6820	257	6	m(r	m(r	NOUN
ejpam-6820	257	7	−	−	PROPN
ejpam-6820	257	8	q)h(q	q)h(q	NOUN
ejpam-6820	257	9	,	,	PUNCT
ejpam-6820	257	10	a(q))dξ(q	a(q))dξ(q	PROPN
ejpam-6820	257	11	)	)	PUNCT
ejpam-6820	257	12	the	the	DET
ejpam-6820	257	13	control	control	NOUN
ejpam-6820	257	14	of	of	ADP
ejpam-6820	257	15	(	(	PUNCT
ejpam-6820	257	16	9	9	NUM
ejpam-6820	257	17	)	)	PUNCT
ejpam-6820	257	18	,	,	PUNCT
ejpam-6820	257	19	for	for	ADP
ejpam-6820	257	20	each	each	DET
ejpam-6820	257	21	r	r	NOUN
ejpam-6820	257	22	∈	∈	PROPN
ejpam-6820	257	23	(	(	PUNCT
ejpam-6820	257	24	0	0	NUM
ejpam-6820	257	25	,	,	PUNCT
ejpam-6820	257	26	r1	r1	PROPN
ejpam-6820	257	27	]	]	PUNCT
ejpam-6820	257	28	,	,	PUNCT
ejpam-6820	257	29	for	for	ADP
ejpam-6820	257	30	a0	a0	PROPN
ejpam-6820	257	31	∈	∈	PROPN
ejpam-6820	257	32	r	r	PROPN
ejpam-6820	257	33	y(r	y(r	NOUN
ejpam-6820	257	34	)	)	PUNCT
ejpam-6820	257	35	=	=	PUNCT
ejpam-6820	258	1	(	(	PUNCT
ejpam-6820	258	2	r	r	NOUN
ejpam-6820	258	3	−	−	PROPN
ejpam-6820	258	4	q)m−1d∗pm	q)m−1d∗pm	NOUN
ejpam-6820	258	5	,	,	PUNCT
ejpam-6820	258	6	m(r	m(r	NOUN
ejpam-6820	258	7	−	−	PROPN
ejpam-6820	258	8	q)e{a0	q)e{a0	PROPN
ejpam-6820	258	9	−	−	PROPN
ejpam-6820	258	10	∫	∫	NOUN
ejpam-6820	258	11	r	r	NOUN
ejpam-6820	258	12	0	0	NUM
ejpam-6820	258	13	pm(r	pm(r	NOUN
ejpam-6820	258	14	−	−	PROPN
ejpam-6820	259	1	q)δdq	q)δdq	NOUN
ejpam-6820	259	2	(	(	PUNCT
ejpam-6820	259	3	12	12	NUM
ejpam-6820	259	4	)	)	PUNCT
ejpam-6820	259	5	−	−	PROPN
ejpam-6820	259	6	x∑	x∑	PUNCT
ejpam-6820	260	1	g=1	g=1	PROPN
ejpam-6820	260	2	ug	ug	ADP
ejpam-6820	260	3	r	r	NOUN
ejpam-6820	260	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	261	1	−	−	PROPN
ejpam-6820	261	2	∫	∫	PROPN
ejpam-6820	261	3	r	r	NOUN
ejpam-6820	261	4	0	0	NUM
ejpam-6820	262	1	(	(	PUNCT
ejpam-6820	262	2	r	r	NOUN
ejpam-6820	262	3	−	−	PROPN
ejpam-6820	262	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	262	5	,	,	PUNCT
ejpam-6820	262	6	m(r	m(r	PROPN
ejpam-6820	262	7	−	−	PROPN
ejpam-6820	263	1	q)[v	q)[v	PROPN
ejpam-6820	263	2	(	(	PUNCT
ejpam-6820	263	3	q	q	NOUN
ejpam-6820	263	4	,	,	PUNCT
ejpam-6820	263	5	a(q))]dq	a(q))]dq	PROPN
ejpam-6820	263	6	−	−	NOUN
ejpam-6820	263	7	∫	∫	PROPN
ejpam-6820	263	8	r	r	NOUN
ejpam-6820	263	9	0	0	NUM
ejpam-6820	264	1	(	(	PUNCT
ejpam-6820	264	2	r	r	NOUN
ejpam-6820	264	3	−	−	PROPN
ejpam-6820	264	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	264	5	,	,	PUNCT
ejpam-6820	264	6	m(r	m(r	NOUN
ejpam-6820	264	7	−	−	PROPN
ejpam-6820	264	8	q)h(q	q)h(q	NOUN
ejpam-6820	264	9	,	,	PUNCT
ejpam-6820	264	10	a(q))dξ(q)/gs	a(q))dξ(q)/gs	ADP
ejpam-6820	264	11	}	}	PUNCT
ejpam-6820	264	12	the	the	DET
ejpam-6820	264	13	control	control	NOUN
ejpam-6820	264	14	of	of	ADP
ejpam-6820	264	15	(	(	PUNCT
ejpam-6820	264	16	9	9	NUM
ejpam-6820	264	17	)	)	PUNCT
ejpam-6820	264	18	,	,	PUNCT
ejpam-6820	264	19	for	for	ADP
ejpam-6820	264	20	each	each	DET
ejpam-6820	264	21	r	r	NOUN
ejpam-6820	264	22	∈	∈	PROPN
ejpam-6820	264	23	(	(	PUNCT
ejpam-6820	264	24	rt	rt	PROPN
ejpam-6820	264	25	,	,	PUNCT
ejpam-6820	264	26	rt+1	rt+1	PROPN
ejpam-6820	264	27	]	]	PUNCT
ejpam-6820	264	28	,	,	PUNCT
ejpam-6820	264	29	t	t	PROPN
ejpam-6820	264	30	=	=	SYM
ejpam-6820	264	31	1	1	NUM
ejpam-6820	264	32	,	,	PUNCT
ejpam-6820	264	33	2	2	NUM
ejpam-6820	264	34	,	,	PUNCT
ejpam-6820	264	35	3	3	NUM
ejpam-6820	264	36	,	,	PUNCT
ejpam-6820	264	37	...	...	PUNCT
ejpam-6820	264	38	,	,	PUNCT
ejpam-6820	264	39	s	s	X
ejpam-6820	264	40	,	,	PUNCT
ejpam-6820	264	41	for	for	ADP
ejpam-6820	264	42	a0	a0	PROPN
ejpam-6820	264	43	∈	∈	PROPN
ejpam-6820	264	44	r	r	PROPN
ejpam-6820	264	45	y(r	y(r	NOUN
ejpam-6820	264	46	)	)	PUNCT
ejpam-6820	264	47	=	=	PUNCT
ejpam-6820	265	1	(	(	PUNCT
ejpam-6820	265	2	r	r	NOUN
ejpam-6820	265	3	−	−	PROPN
ejpam-6820	265	4	q)m−1d∗pm	q)m−1d∗pm	NOUN
ejpam-6820	265	5	,	,	PUNCT
ejpam-6820	265	6	m(r	m(r	NOUN
ejpam-6820	265	7	−	−	PROPN
ejpam-6820	265	8	q)e{a0	q)e{a0	PROPN
ejpam-6820	265	9	−	−	PROPN
ejpam-6820	265	10	∫	∫	NOUN
ejpam-6820	265	11	r	r	NOUN
ejpam-6820	265	12	0	0	NUM
ejpam-6820	265	13	pm(r	pm(r	NOUN
ejpam-6820	265	14	−	−	PROPN
ejpam-6820	266	1	q)δdq	q)δdq	PROPN
ejpam-6820	266	2	(	(	PUNCT
ejpam-6820	266	3	13	13	NUM
ejpam-6820	266	4	)	)	PUNCT
ejpam-6820	266	5	−	−	PROPN
ejpam-6820	267	1	x∑	x∑	PUNCT
ejpam-6820	268	1	g=1	g=1	PROPN
ejpam-6820	268	2	ug	ug	ADP
ejpam-6820	268	3	r	r	NOUN
ejpam-6820	268	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	268	5	−	−	PROPN
ejpam-6820	268	6	s∑	s∑	PROPN
ejpam-6820	268	7	θ=1	θ=1	ADP
ejpam-6820	268	8	jθ(a(r	jθ(a(r	NUM
ejpam-6820	268	9	−	−	PROPN
ejpam-6820	268	10	θ	θ	NOUN
ejpam-6820	268	11	)	)	PUNCT
ejpam-6820	268	12	)	)	PUNCT
ejpam-6820	269	1	−	−	NUM
ejpam-6820	270	1	∫	∫	NOUN
ejpam-6820	270	2	r	r	NOUN
ejpam-6820	270	3	0	0	NUM
ejpam-6820	271	1	(	(	PUNCT
ejpam-6820	271	2	r	r	NOUN
ejpam-6820	271	3	−	−	PROPN
ejpam-6820	271	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	271	5	,	,	PUNCT
ejpam-6820	271	6	m(r	m(r	PROPN
ejpam-6820	271	7	−	−	PROPN
ejpam-6820	272	1	q)[v	q)[v	PROPN
ejpam-6820	272	2	(	(	PUNCT
ejpam-6820	272	3	q	q	NOUN
ejpam-6820	272	4	,	,	PUNCT
ejpam-6820	272	5	a(q))]dq	a(q))]dq	PROPN
ejpam-6820	272	6	−	−	NOUN
ejpam-6820	272	7	∫	∫	PROPN
ejpam-6820	272	8	r	r	NOUN
ejpam-6820	272	9	0	0	NUM
ejpam-6820	273	1	(	(	PUNCT
ejpam-6820	273	2	r	r	NOUN
ejpam-6820	273	3	−	−	PROPN
ejpam-6820	273	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	273	5	,	,	PUNCT
ejpam-6820	273	6	m(r	m(r	NOUN
ejpam-6820	273	7	−	−	PROPN
ejpam-6820	273	8	q)h(q	q)h(q	NOUN
ejpam-6820	273	9	,	,	PUNCT
ejpam-6820	273	10	a(q))dξ(q)/gs	a(q))dξ(q)/gs	ADP
ejpam-6820	273	11	}	}	PUNCT
ejpam-6820	273	12	by	by	ADP
ejpam-6820	273	13	taking	take	VERB
ejpam-6820	273	14	the	the	DET
ejpam-6820	273	15	norm	norm	NOUN
ejpam-6820	273	16	sup	sup	NOUN
ejpam-6820	273	17	q∈i	q∈i	NOUN
ejpam-6820	273	18	e‖y(r)‖2	e‖y(r)‖2	VERB
ejpam-6820	273	19	≤	≤	NUM
ejpam-6820	273	20	e‖(r	e‖(r	NOUN
ejpam-6820	273	21	−	−	ADP
ejpam-6820	273	22	q)m−1d∗pm	q)m−1d∗pm	NOUN
ejpam-6820	273	23	,	,	PUNCT
ejpam-6820	273	24	m(r	m(r	NOUN
ejpam-6820	273	25	−	−	PROPN
ejpam-6820	273	26	q)‖2	q)‖2	NOUN
ejpam-6820	273	27	∗	∗	NOUN
ejpam-6820	273	28	e‖a0‖2	e‖a0‖2	NOUN
ejpam-6820	273	29	+	+	CCONJ
ejpam-6820	273	30	e‖	e‖	ADJ
ejpam-6820	273	31	∫	∫	PROPN
ejpam-6820	273	32	r	r	NOUN
ejpam-6820	273	33	0	0	NUM
ejpam-6820	273	34	pm(r	pm(r	NOUN
ejpam-6820	273	35	−	−	PROPN
ejpam-6820	273	36	q)δdq‖2	q)δdq‖2	PROPN
ejpam-6820	273	37	m.	m.	NOUN
ejpam-6820	273	38	lavanya	lavanya	NOUN
ejpam-6820	273	39	et	et	PROPN
ejpam-6820	273	40	al	al	PROPN
ejpam-6820	273	41	.	.	PUNCT
ejpam-6820	273	42	/	/	SYM
ejpam-6820	273	43	eur	eur	PROPN
ejpam-6820	273	44	.	.	PUNCT
ejpam-6820	274	1	j.	j.	PROPN
ejpam-6820	274	2	pure	pure	PROPN
ejpam-6820	274	3	appl	appl	PROPN
ejpam-6820	274	4	.	.	PROPN
ejpam-6820	274	5	math	math	PROPN
ejpam-6820	274	6	,	,	PUNCT
ejpam-6820	274	7	18	18	NUM
ejpam-6820	274	8	(	(	PUNCT
ejpam-6820	274	9	4	4	NUM
ejpam-6820	274	10	)	)	PUNCT
ejpam-6820	274	11	(	(	PUNCT
ejpam-6820	274	12	2025	2025	NUM
ejpam-6820	274	13	)	)	PUNCT
ejpam-6820	274	14	,	,	PUNCT
ejpam-6820	274	15	6820	6820	NUM
ejpam-6820	274	16	11	11	NUM
ejpam-6820	274	17	of	of	ADP
ejpam-6820	274	18	20	20	NUM
ejpam-6820	275	1	+	+	NOUN
ejpam-6820	275	2	e‖	e‖	ADJ
ejpam-6820	275	3	x∑	x∑	PUNCT
ejpam-6820	276	1	g=1	g=1	PROPN
ejpam-6820	276	2	ug	ug	ADP
ejpam-6820	276	3	r	r	NOUN
ejpam-6820	276	4	m−1pm,1+m−ng(r)δ‖2	m−1pm,1+m−ng(r)δ‖2	NOUN
ejpam-6820	276	5	+	+	CCONJ
ejpam-6820	276	6	e‖	e‖	ADJ
ejpam-6820	276	7	s∑	s∑	PROPN
ejpam-6820	276	8	θ=1	θ=1	ADP
ejpam-6820	276	9	jθ(a(r	jθ(a(r	NUM
ejpam-6820	276	10	−	−	PROPN
ejpam-6820	276	11	θ	θ	NOUN
ejpam-6820	276	12	)	)	PUNCT
ejpam-6820	276	13	)	)	PUNCT
ejpam-6820	277	1	‖	‖	PROPN
ejpam-6820	277	2	2	2	NUM
ejpam-6820	278	1	+	+	NUM
ejpam-6820	278	2	e‖	e‖	ADJ
ejpam-6820	278	3	∫	∫	PROPN
ejpam-6820	278	4	r	r	NOUN
ejpam-6820	278	5	0	0	NUM
ejpam-6820	279	1	(	(	PUNCT
ejpam-6820	279	2	r	r	NOUN
ejpam-6820	279	3	−	−	PROPN
ejpam-6820	279	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	279	5	,	,	PUNCT
ejpam-6820	279	6	m(r	m(r	PROPN
ejpam-6820	279	7	−	−	PROPN
ejpam-6820	280	1	q)[v	q)[v	PROPN
ejpam-6820	280	2	(	(	PUNCT
ejpam-6820	280	3	q	q	NOUN
ejpam-6820	280	4	,	,	PUNCT
ejpam-6820	280	5	a(q))]dq‖2	a(q))]dq‖2	PROPN
ejpam-6820	281	1	+	+	ADJ
ejpam-6820	281	2	e‖	e‖	ADJ
ejpam-6820	281	3	∫	∫	PROPN
ejpam-6820	281	4	r	r	NOUN
ejpam-6820	281	5	0	0	NUM
ejpam-6820	282	1	(	(	PUNCT
ejpam-6820	282	2	r	r	NOUN
ejpam-6820	282	3	−	−	PROPN
ejpam-6820	282	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	282	5	,	,	PUNCT
ejpam-6820	282	6	m(r	m(r	VERB
ejpam-6820	282	7	−	−	PROPN
ejpam-6820	282	8	q)h(q	q)h(q	NOUN
ejpam-6820	282	9	,	,	PUNCT
ejpam-6820	282	10	a(q))dξ(q)‖2	a(q))dξ(q)‖2	VERB
ejpam-6820	282	11	≤	≤	ADV
ejpam-6820	282	12	‖d∗‖2‖b−1‖2{‖a0‖2	‖d∗‖2‖b−1‖2{‖a0‖2	ADV
ejpam-6820	282	13	+	+	CCONJ
ejpam-6820	282	14	α+	α+	X
ejpam-6820	282	15	ψ	ψ	X
ejpam-6820	283	1	+	+	X
ejpam-6820	284	1	[	[	X
ejpam-6820	284	2	β2	β2	X
ejpam-6820	284	3	+	+	CCONJ
ejpam-6820	284	4	β3]q0	β3]q0	PROPN
ejpam-6820	284	5	}	}	PUNCT
ejpam-6820	284	6	:	:	PUNCT
ejpam-6820	284	7	=	=	PUNCT
ejpam-6820	284	8	φ	φ	PROPN
ejpam-6820	284	9	where	where	SCONJ
ejpam-6820	284	10	α	α	NOUN
ejpam-6820	284	11	:	:	PUNCT
ejpam-6820	284	12	=	=	SYM
ejpam-6820	284	13	e‖	e‖	PROPN
ejpam-6820	284	14	∑s	∑s	PROPN
ejpam-6820	284	15	θ=1	θ=1	ADP
ejpam-6820	284	16	jθ(a(r	jθ(a(r	NOUN
ejpam-6820	284	17	−	−	PROPN
ejpam-6820	284	18	θ	θ	NOUN
ejpam-6820	284	19	)	)	PUNCT
ejpam-6820	284	20	)	)	PUNCT
ejpam-6820	285	1	‖	‖	PROPN
ejpam-6820	285	2	2	2	NUM
ejpam-6820	285	3	,	,	PUNCT
ejpam-6820	285	4	ψ	ψ	X
ejpam-6820	285	5	:	:	PUNCT
ejpam-6820	285	6	=	=	SYM
ejpam-6820	285	7	e‖	e‖	ADJ
ejpam-6820	285	8	∫	∫	PROPN
ejpam-6820	285	9	r	r	NOUN
ejpam-6820	285	10	0	0	NUM
ejpam-6820	285	11	pm(r−q)δdq‖2+e‖	pm(r−q)δdq‖2+e‖	PROPN
ejpam-6820	285	12	∑x	∑x	PROPN
ejpam-6820	285	13	g=1	g=1	PROPN
ejpam-6820	285	14	ug	ug	ADP
ejpam-6820	285	15	r	r	NOUN
ejpam-6820	285	16	m−1pm,1+m−ng(r)δ‖2	m−1pm,1+m−ng(r)δ‖2	NOUN
ejpam-6820	285	17	,	,	PUNCT
ejpam-6820	285	18	β2	β2	VERB
ejpam-6820	285	19	:	:	PUNCT
ejpam-6820	285	20	=	=	SYM
ejpam-6820	285	21	‖v	‖v	PROPN
ejpam-6820	285	22	(	(	PUNCT
ejpam-6820	285	23	q	q	ADJ
ejpam-6820	285	24	,	,	PUNCT
ejpam-6820	285	25	a(q))‖2	a(q))‖2	ADJ
ejpam-6820	285	26	and	and	CCONJ
ejpam-6820	285	27	β3	β3	ADJ
ejpam-6820	285	28	:	:	PUNCT
ejpam-6820	285	29	=	=	SYM
ejpam-6820	285	30	‖h(q	‖h(q	ADV
ejpam-6820	285	31	,	,	PUNCT
ejpam-6820	285	32	a(q))‖2	a(q))‖2	X
ejpam-6820	285	33	‖λa(r)−	‖λa(r)−	ADJ
ejpam-6820	285	34	λγ(r)‖2	λγ(r)‖2	ADJ
ejpam-6820	285	35	≤	≤	PROPN
ejpam-6820	286	1	‖	‖	PROPN
ejpam-6820	286	2	∫	∫	PROPN
ejpam-6820	286	3	r	r	NOUN
ejpam-6820	286	4	0	0	NUM
ejpam-6820	286	5	(	(	PUNCT
ejpam-6820	286	6	r	r	NOUN
ejpam-6820	286	7	−	−	PROPN
ejpam-6820	286	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	286	9	,	,	PUNCT
ejpam-6820	286	10	m(r	m(r	PROPN
ejpam-6820	286	11	−	−	PROPN
ejpam-6820	286	12	q)[v	q)[v	PROPN
ejpam-6820	286	13	(	(	PUNCT
ejpam-6820	286	14	q	q	NOUN
ejpam-6820	286	15	,	,	PUNCT
ejpam-6820	286	16	a(q))−	a(q))−	ADP
ejpam-6820	286	17	v	v	NOUN
ejpam-6820	286	18	(	(	PUNCT
ejpam-6820	286	19	q	q	NOUN
ejpam-6820	286	20	,	,	PUNCT
ejpam-6820	286	21	γ(q))]dq	γ(q))]dq	PROPN
ejpam-6820	286	22	+	+	CCONJ
ejpam-6820	286	23	∫	∫	PROPN
ejpam-6820	286	24	r	r	NOUN
ejpam-6820	286	25	0	0	NUM
ejpam-6820	287	1	(	(	PUNCT
ejpam-6820	287	2	r	r	NOUN
ejpam-6820	287	3	−	−	PROPN
ejpam-6820	287	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	287	5	,	,	PUNCT
ejpam-6820	287	6	m(r	m(r	NOUN
ejpam-6820	287	7	−	−	PROPN
ejpam-6820	287	8	q)[h(q	q)[h(q	CCONJ
ejpam-6820	287	9	,	,	PUNCT
ejpam-6820	287	10	a(q))−h(q	a(q))−h(q	PROPN
ejpam-6820	287	11	,	,	PUNCT
ejpam-6820	287	12	γ(q))]dξ(q)‖2	γ(q))]dξ(q)‖2	NOUN
ejpam-6820	287	13	≤	≤	NOUN
ejpam-6820	288	1	[	[	X
ejpam-6820	288	2	β0	β0	NOUN
ejpam-6820	288	3	+	+	CCONJ
ejpam-6820	288	4	β1]q0‖a−	β1]q0‖a−	PROPN
ejpam-6820	288	5	γ‖2	γ‖2	NOUN
ejpam-6820	288	6	from	from	ADP
ejpam-6820	288	7	(	(	PUNCT
ejpam-6820	288	8	f13	f13	ADJ
ejpam-6820	288	9	)	)	PUNCT
ejpam-6820	288	10	,	,	PUNCT
ejpam-6820	289	1	[	[	X
ejpam-6820	289	2	β0	β0	NOUN
ejpam-6820	289	3	+	+	CCONJ
ejpam-6820	289	4	β1]q0	β1]q0	PROPN
ejpam-6820	289	5	<	<	X
ejpam-6820	289	6	1	1	X
ejpam-6820	289	7	.	.	PUNCT
ejpam-6820	290	1	this	this	PRON
ejpam-6820	290	2	concludes	conclude	VERB
ejpam-6820	290	3	that	that	SCONJ
ejpam-6820	290	4	λ	λ	NOUN
ejpam-6820	290	5	is	be	AUX
ejpam-6820	290	6	a	a	DET
ejpam-6820	290	7	contraction	contraction	NOUN
ejpam-6820	290	8	map	map	NOUN
ejpam-6820	290	9	,	,	PUNCT
ejpam-6820	290	10	from	from	ADP
ejpam-6820	290	11	lemma	lemma	PROPN
ejpam-6820	290	12	(	(	PUNCT
ejpam-6820	290	13	1	1	X
ejpam-6820	290	14	)	)	PUNCT
ejpam-6820	290	15	it	it	PRON
ejpam-6820	290	16	has	have	VERB
ejpam-6820	290	17	a	a	DET
ejpam-6820	290	18	unique	unique	ADJ
ejpam-6820	290	19	fixed	fix	VERB
ejpam-6820	290	20	point	point	NOUN
ejpam-6820	290	21	on	on	ADP
ejpam-6820	290	22	the	the	DET
ejpam-6820	290	23	interval	interval	NOUN
ejpam-6820	291	1	[	[	X
ejpam-6820	291	2	0,z	0,z	X
ejpam-6820	291	3	]	]	X
ejpam-6820	291	4	.	.	PUNCT
ejpam-6820	292	1	sup	sup	NOUN
ejpam-6820	292	2	q∈i	q∈i	NOUN
ejpam-6820	292	3	e‖λa(r)‖2	e‖λa(r)‖2	PROPN
ejpam-6820	292	4	≤	≤	NUM
ejpam-6820	292	5	‖	‖	PROPN
ejpam-6820	292	6	∫	∫	PROPN
ejpam-6820	292	7	r	r	NOUN
ejpam-6820	292	8	0	0	NUM
ejpam-6820	292	9	pm(r	pm(r	NOUN
ejpam-6820	292	10	−	−	PROPN
ejpam-6820	293	1	q)δdq	q)δdq	NOUN
ejpam-6820	293	2	+	+	PUNCT
ejpam-6820	293	3	x∑	x∑	X
ejpam-6820	294	1	g=1	g=1	PROPN
ejpam-6820	294	2	ug	ug	ADP
ejpam-6820	294	3	r	r	NOUN
ejpam-6820	294	4	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	294	5	+	+	CCONJ
ejpam-6820	294	6	s∑	s∑	PROPN
ejpam-6820	294	7	θ=1	θ=1	ADP
ejpam-6820	294	8	jθ(a(r	jθ(a(r	NUM
ejpam-6820	294	9	−	−	PROPN
ejpam-6820	294	10	θ	θ	NOUN
ejpam-6820	294	11	)	)	PUNCT
ejpam-6820	294	12	)	)	PUNCT
ejpam-6820	295	1	+	+	CCONJ
ejpam-6820	295	2	∫	∫	X
ejpam-6820	295	3	r	r	NOUN
ejpam-6820	295	4	0	0	NUM
ejpam-6820	295	5	(	(	PUNCT
ejpam-6820	295	6	r	r	NOUN
ejpam-6820	295	7	−	−	PROPN
ejpam-6820	295	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	295	9	,	,	PUNCT
ejpam-6820	295	10	m(r	m(r	PROPN
ejpam-6820	295	11	−	−	PROPN
ejpam-6820	296	1	q)[v	q)[v	PROPN
ejpam-6820	296	2	(	(	PUNCT
ejpam-6820	296	3	q	q	PROPN
ejpam-6820	296	4	,	,	PUNCT
ejpam-6820	296	5	a(q	a(q	PROPN
ejpam-6820	296	6	)	)	PUNCT
ejpam-6820	296	7	)	)	PUNCT
ejpam-6820	297	1	+	+	NUM
ejpam-6820	298	1	ey(q)]dq	ey(q)]dq	NUM
ejpam-6820	298	2	+	+	NUM
ejpam-6820	298	3	∫	∫	PROPN
ejpam-6820	298	4	r	r	NOUN
ejpam-6820	298	5	0	0	NUM
ejpam-6820	299	1	(	(	PUNCT
ejpam-6820	299	2	r	r	NOUN
ejpam-6820	299	3	−	−	PROPN
ejpam-6820	299	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	299	5	,	,	PUNCT
ejpam-6820	299	6	m(r	m(r	VERB
ejpam-6820	299	7	−	−	PROPN
ejpam-6820	299	8	q)h(q	q)h(q	NOUN
ejpam-6820	299	9	,	,	PUNCT
ejpam-6820	299	10	a(q))dξ(q)‖2	a(q))dξ(q)‖2	VERB
ejpam-6820	299	11	≤	≤	ADJ
ejpam-6820	299	12	‖ψ	‖ψ	NOUN
ejpam-6820	300	1	+	+	CCONJ
ejpam-6820	300	2	α+	α+	PUNCT
ejpam-6820	300	3	[	[	X
ejpam-6820	300	4	β2φ+	β2φ+	INTJ
ejpam-6820	300	5	β3]q0‖2	β3]q0‖2	PUNCT
ejpam-6820	300	6	:	:	PUNCT
ejpam-6820	300	7	=	=	SYM
ejpam-6820	300	8	µ	µ	X
ejpam-6820	300	9	hence	hence	ADV
ejpam-6820	300	10	,	,	PUNCT
ejpam-6820	300	11	supq∈ie‖λa(r)‖2	supq∈ie‖λa(r)‖2	ADJ
ejpam-6820	300	12	≤	≤	NOUN
ejpam-6820	300	13	µ	µ	NUM
ejpam-6820	300	14	,	,	PUNCT
ejpam-6820	300	15	we	we	PRON
ejpam-6820	300	16	conclude	conclude	VERB
ejpam-6820	300	17	that	that	SCONJ
ejpam-6820	300	18	the	the	DET
ejpam-6820	300	19	equation	equation	NOUN
ejpam-6820	300	20	(	(	PUNCT
ejpam-6820	300	21	9	9	NUM
ejpam-6820	300	22	)	)	PUNCT
ejpam-6820	300	23	is	be	AUX
ejpam-6820	300	24	controllable	controllable	ADJ
ejpam-6820	300	25	on	on	ADP
ejpam-6820	300	26	i.	i.	PROPN
ejpam-6820	300	27	4.1	4.1	NUM
ejpam-6820	300	28	.	.	PUNCT
ejpam-6820	301	1	examples	example	NOUN
ejpam-6820	301	2	example	example	NOUN
ejpam-6820	301	3	1	1	X
ejpam-6820	301	4	.	.	X
ejpam-6820	301	5	evaluate	evaluate	VERB
ejpam-6820	301	6	the	the	DET
ejpam-6820	301	7	following	following	ADJ
ejpam-6820	301	8	linear	linear	PROPN
ejpam-6820	301	9	control	control	NOUN
ejpam-6820	301	10	system	system	NOUN
ejpam-6820	301	11	cdma(r	cdma(r	PROPN
ejpam-6820	301	12	)	)	PUNCT
ejpam-6820	302	1	+	+	NOUN
ejpam-6820	303	1	3∑	3∑	NUM
ejpam-6820	303	2	g=1	g=1	PROPN
ejpam-6820	303	3	ug	ug	ADP
ejpam-6820	303	4	cdnga(r	cdnga(r	NOUN
ejpam-6820	303	5	)	)	PUNCT
ejpam-6820	303	6	=	=	SYM
ejpam-6820	303	7	ka(r	ka(r	NOUN
ejpam-6820	303	8	)	)	PUNCT
ejpam-6820	304	1	+	+	CCONJ
ejpam-6820	304	2	ey(r	ey(r	NOUN
ejpam-6820	304	3	)	)	PUNCT
ejpam-6820	304	4	+	+	NOUN
ejpam-6820	304	5	h(r)dξ(r	h(r)dξ(r	NOUN
ejpam-6820	304	6	)	)	PUNCT
ejpam-6820	304	7	,	,	PUNCT
ejpam-6820	305	1	r	r	NOUN
ejpam-6820	305	2	∈	∈	PROPN
ejpam-6820	305	3	i	i	NOUN
ejpam-6820	305	4	=	=	SYM
ejpam-6820	305	5	(	(	PUNCT
ejpam-6820	305	6	0	0	NUM
ejpam-6820	305	7	,	,	PUNCT
ejpam-6820	305	8	5	5	NUM
ejpam-6820	305	9	]	]	SYM
ejpam-6820	305	10	r	r	NOUN
ejpam-6820	305	11	6=	6=	NUM
ejpam-6820	305	12	rt,(14	rt,(14	NOUN
ejpam-6820	305	13	)	)	PUNCT
ejpam-6820	305	14	∆a(rt	∆a(rt	NOUN
ejpam-6820	305	15	)	)	PUNCT
ejpam-6820	305	16	=	=	SYM
ejpam-6820	305	17	1.5	1.5	NUM
ejpam-6820	305	18	+	+	CCONJ
ejpam-6820	305	19	a(t−i	a(t−i	NOUN
ejpam-6820	305	20	)	)	PUNCT
ejpam-6820	305	21	4	4	NUM
ejpam-6820	305	22	,	,	PUNCT
ejpam-6820	305	23	ti	ti	X
ejpam-6820	305	24	=	=	SYM
ejpam-6820	305	25	i	i	PROPN
ejpam-6820	305	26	,	,	PUNCT
ejpam-6820	305	27	i	i	PRON
ejpam-6820	305	28	=	=	NOUN
ejpam-6820	305	29	1	1	NUM
ejpam-6820	305	30	,	,	PUNCT
ejpam-6820	305	31	2	2	NUM
ejpam-6820	305	32	,	,	PUNCT
ejpam-6820	305	33	3	3	NUM
ejpam-6820	305	34	.	.	PUNCT
ejpam-6820	305	35	a′(0	a′(0	NOUN
ejpam-6820	305	36	)	)	PUNCT
ejpam-6820	305	37	=	=	SYM
ejpam-6820	305	38	δ	δ	PROPN
ejpam-6820	305	39	m.	m.	NOUN
ejpam-6820	305	40	lavanya	lavanya	NOUN
ejpam-6820	305	41	et	et	PROPN
ejpam-6820	305	42	al	al	PROPN
ejpam-6820	305	43	.	.	PUNCT
ejpam-6820	305	44	/	/	SYM
ejpam-6820	305	45	eur	eur	PROPN
ejpam-6820	305	46	.	.	PUNCT
ejpam-6820	306	1	j.	j.	PROPN
ejpam-6820	306	2	pure	pure	PROPN
ejpam-6820	306	3	appl	appl	PROPN
ejpam-6820	306	4	.	.	PROPN
ejpam-6820	306	5	math	math	PROPN
ejpam-6820	306	6	,	,	PUNCT
ejpam-6820	306	7	18	18	NUM
ejpam-6820	306	8	(	(	PUNCT
ejpam-6820	306	9	4	4	NUM
ejpam-6820	306	10	)	)	PUNCT
ejpam-6820	306	11	(	(	PUNCT
ejpam-6820	306	12	2025	2025	NUM
ejpam-6820	306	13	)	)	PUNCT
ejpam-6820	306	14	,	,	PUNCT
ejpam-6820	306	15	6820	6820	NUM
ejpam-6820	306	16	12	12	NUM
ejpam-6820	306	17	of	of	ADP
ejpam-6820	306	18	20	20	NUM
ejpam-6820	306	19	figure	figure	NOUN
ejpam-6820	306	20	1	1	NUM
ejpam-6820	306	21	:	:	PUNCT
ejpam-6820	306	22	solution	solution	NOUN
ejpam-6820	306	23	of	of	ADP
ejpam-6820	306	24	the	the	DET
ejpam-6820	306	25	system	system	NOUN
ejpam-6820	306	26	(	(	PUNCT
ejpam-6820	306	27	14	14	NUM
ejpam-6820	306	28	)	)	PUNCT
ejpam-6820	306	29	on	on	ADP
ejpam-6820	306	30	[	[	X
ejpam-6820	306	31	0	0	NUM
ejpam-6820	306	32	,	,	PUNCT
ejpam-6820	306	33	5	5	NUM
ejpam-6820	306	34	]	]	PUNCT
ejpam-6820	306	35	for	for	ADP
ejpam-6820	306	36	m	m	PROPN
ejpam-6820	306	37	=	=	NOUN
ejpam-6820	306	38	1.5	1.5	NUM
ejpam-6820	306	39	,	,	PUNCT
ejpam-6820	306	40	k	k	X
ejpam-6820	306	41	=	=	PUNCT
ejpam-6820	306	42	−0.0834	−0.0834	PROPN
ejpam-6820	306	43	.	.	PUNCT
ejpam-6820	307	1	where	where	SCONJ
ejpam-6820	307	2	m	m	VERB
ejpam-6820	307	3	=	=	SYM
ejpam-6820	307	4	1.5,k	1.5,k	NUM
ejpam-6820	308	1	=	=	SYM
ejpam-6820	308	2	−0.0834	−0.0834	PROPN
ejpam-6820	308	3	,	,	PUNCT
ejpam-6820	308	4	h	h	NOUN
ejpam-6820	308	5	=	=	NOUN
ejpam-6820	308	6	10	10	NUM
ejpam-6820	308	7	,	,	PUNCT
ejpam-6820	308	8	e	e	NOUN
ejpam-6820	308	9	=	=	NOUN
ejpam-6820	308	10	0.25	0.25	NUM
ejpam-6820	308	11	,	,	PUNCT
ejpam-6820	308	12	r	r	NOUN
ejpam-6820	308	13	=	=	SYM
ejpam-6820	308	14	2.5	2.5	NUM
ejpam-6820	308	15	,	,	PUNCT
ejpam-6820	308	16	u1	u1	NOUN
ejpam-6820	308	17	=	=	SYM
ejpam-6820	308	18	1	1	NUM
ejpam-6820	308	19	,	,	PUNCT
ejpam-6820	308	20	u2	u2	NOUN
ejpam-6820	308	21	=	=	SYM
ejpam-6820	308	22	2	2	NUM
ejpam-6820	308	23	,	,	PUNCT
ejpam-6820	308	24	u3	u3	NOUN
ejpam-6820	308	25	=	=	SYM
ejpam-6820	308	26	3	3	NUM
ejpam-6820	308	27	,	,	PUNCT
ejpam-6820	308	28	and	and	CCONJ
ejpam-6820	308	29	a′(0	a′(0	NOUN
ejpam-6820	308	30	)	)	PUNCT
ejpam-6820	308	31	=	=	SYM
ejpam-6820	308	32	1	1	NUM
ejpam-6820	308	33	the	the	DET
ejpam-6820	308	34	solution	solution	NOUN
ejpam-6820	308	35	of	of	ADP
ejpam-6820	308	36	the	the	DET
ejpam-6820	308	37	system	system	NOUN
ejpam-6820	308	38	(	(	PUNCT
ejpam-6820	308	39	14	14	NUM
ejpam-6820	308	40	)	)	PUNCT
ejpam-6820	308	41	as	as	ADP
ejpam-6820	308	42	:	:	PUNCT
ejpam-6820	308	43	a(r	a(r	NOUN
ejpam-6820	308	44	)	)	PUNCT
ejpam-6820	308	45	=	=	SYM
ejpam-6820	308	46			NUM
ejpam-6820	308	47	∫	∫	PROPN
ejpam-6820	308	48	r	r	NOUN
ejpam-6820	308	49	0	0	NUM
ejpam-6820	308	50	p1.5(r	p1.5(r	NUM
ejpam-6820	308	51	−	−	NOUN
ejpam-6820	309	1	q)δdq	q)δdq	PROPN
ejpam-6820	309	2	+	+	NUM
ejpam-6820	309	3	∑3	∑3	PROPN
ejpam-6820	310	1	g=1	g=1	PROPN
ejpam-6820	310	2	ug	ug	ADP
ejpam-6820	310	3	r	r	NOUN
ejpam-6820	310	4	1.5−1p1.5,1	1.5−1p1.5,1	NUM
ejpam-6820	310	5	+	+	NOUN
ejpam-6820	310	6	1.5−ng(r)δ	1.5−ng(r)δ	NUM
ejpam-6820	310	7	+	+	CCONJ
ejpam-6820	310	8	∫	∫	PROPN
ejpam-6820	310	9	r	r	NOUN
ejpam-6820	310	10	0	0	NUM
ejpam-6820	311	1	(	(	PUNCT
ejpam-6820	311	2	r	r	NOUN
ejpam-6820	311	3	−	−	PROPN
ejpam-6820	311	4	q)1.5−1p1.5,1.5(r	q)1.5−1p1.5,1.5(r	NOUN
ejpam-6820	311	5	−	−	PROPN
ejpam-6820	311	6	q)ey(q)dq	q)ey(q)dq	NOUN
ejpam-6820	312	1	+	+	CCONJ
ejpam-6820	312	2	∫	∫	PROPN
ejpam-6820	312	3	r	r	NOUN
ejpam-6820	312	4	0	0	NUM
ejpam-6820	313	1	(	(	PUNCT
ejpam-6820	313	2	r	r	NOUN
ejpam-6820	313	3	−	−	PROPN
ejpam-6820	313	4	q)1.5−1p1.5,1.5(r	q)1.5−1p1.5,1.5(r	PROPN
ejpam-6820	313	5	−	−	PROPN
ejpam-6820	313	6	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	313	7	)	)	PUNCT
ejpam-6820	314	1	for	for	ADP
ejpam-6820	314	2	r	r	PROPN
ejpam-6820	314	3	∈	∈	PROPN
ejpam-6820	314	4	(	(	PUNCT
ejpam-6820	314	5	o	o	NOUN
ejpam-6820	314	6	,	,	PUNCT
ejpam-6820	314	7	5	5	NUM
ejpam-6820	314	8	]	]	PUNCT
ejpam-6820	314	9	∫	∫	PROPN
ejpam-6820	314	10	r	r	NOUN
ejpam-6820	314	11	0	0	NUM
ejpam-6820	314	12	p1.5(r	p1.5(r	NOUN
ejpam-6820	314	13	−	−	NOUN
ejpam-6820	314	14	q)δdq	q)δdq	PROPN
ejpam-6820	315	1	+	+	NUM
ejpam-6820	315	2	∑3	∑3	PROPN
ejpam-6820	315	3	g=1	g=1	PROPN
ejpam-6820	316	1	ug	ug	ADP
ejpam-6820	316	2	r	r	NOUN
ejpam-6820	316	3	1.5−1p1.5,1	1.5−1p1.5,1	NUM
ejpam-6820	316	4	+	+	NOUN
ejpam-6820	316	5	1.5−ng(r)δ	1.5−ng(r)δ	NOUN
ejpam-6820	316	6	+	+	CCONJ
ejpam-6820	316	7	∑s	∑s	PROPN
ejpam-6820	316	8	θ=1	θ=1	ADP
ejpam-6820	316	9	jθ(a(r	jθ(a(r	NOUN
ejpam-6820	316	10	−	−	PROPN
ejpam-6820	316	11	θ	θ	NOUN
ejpam-6820	316	12	)	)	PUNCT
ejpam-6820	316	13	)	)	PUNCT
ejpam-6820	317	1	+	+	CCONJ
ejpam-6820	317	2	∫	∫	X
ejpam-6820	317	3	r	r	NOUN
ejpam-6820	317	4	0	0	NUM
ejpam-6820	318	1	(	(	PUNCT
ejpam-6820	318	2	r	r	NOUN
ejpam-6820	318	3	−	−	PROPN
ejpam-6820	318	4	q)1.5−1p1.5,1.5(r	q)1.5−1p1.5,1.5(r	NOUN
ejpam-6820	318	5	−	−	PROPN
ejpam-6820	318	6	q)ey(q)dq	q)ey(q)dq	NOUN
ejpam-6820	319	1	+	+	CCONJ
ejpam-6820	319	2	∫	∫	PROPN
ejpam-6820	319	3	r	r	NOUN
ejpam-6820	319	4	0	0	NUM
ejpam-6820	320	1	(	(	PUNCT
ejpam-6820	320	2	r	r	NOUN
ejpam-6820	320	3	−	−	PROPN
ejpam-6820	320	4	q)1.5−1p1.5,1.5(r	q)1.5−1p1.5,1.5(r	PROPN
ejpam-6820	320	5	−	−	PROPN
ejpam-6820	320	6	q)h(q)dξ(q	q)h(q)dξ(q	PROPN
ejpam-6820	320	7	)	)	PUNCT
ejpam-6820	321	1	for	for	ADP
ejpam-6820	321	2	r	r	PROPN
ejpam-6820	321	3	∈	∈	PROPN
ejpam-6820	321	4	(	(	PUNCT
ejpam-6820	321	5	rt	rt	PROPN
ejpam-6820	321	6	,	,	PUNCT
ejpam-6820	321	7	rt	rt	PROPN
ejpam-6820	322	1	+	+	NOUN
ejpam-6820	322	2	1	1	NUM
ejpam-6820	322	3	]	]	PUNCT
ejpam-6820	322	4	,	,	PUNCT
ejpam-6820	322	5	t	t	PROPN
ejpam-6820	322	6	=	=	SYM
ejpam-6820	322	7	1	1	NUM
ejpam-6820	322	8	,	,	PUNCT
ejpam-6820	322	9	2	2	NUM
ejpam-6820	322	10	,	,	PUNCT
ejpam-6820	322	11	3	3	NUM
ejpam-6820	322	12	.	.	PUNCT
ejpam-6820	323	1	the	the	DET
ejpam-6820	323	2	controllability	controllability	NOUN
ejpam-6820	323	3	grammian	grammian	ADJ
ejpam-6820	323	4	operator	operator	NOUN
ejpam-6820	323	5	,	,	PUNCT
ejpam-6820	323	6	bk	bk	PROPN
ejpam-6820	323	7	m	m	PROPN
ejpam-6820	323	8	,	,	PUNCT
ejpam-6820	323	9	ng	ng	PROPN
ejpam-6820	324	1	[	[	X
ejpam-6820	324	2	0	0	NUM
ejpam-6820	324	3	,	,	PUNCT
ejpam-6820	324	4	z	z	NOUN
ejpam-6820	324	5	]	]	X
ejpam-6820	324	6	=	=	PUNCT
ejpam-6820	325	1	3.9338	3.9338	NUM
ejpam-6820	325	2	>	>	X
ejpam-6820	325	3	0	0	NUM
ejpam-6820	325	4	which	which	PRON
ejpam-6820	325	5	is	be	AUX
ejpam-6820	325	6	positive	positive	ADJ
ejpam-6820	325	7	definite	definite	ADJ
ejpam-6820	325	8	,	,	PUNCT
ejpam-6820	325	9	hence	hence	ADV
ejpam-6820	325	10	by	by	ADP
ejpam-6820	325	11	theorem	theorem	NOUN
ejpam-6820	325	12	(	(	PUNCT
ejpam-6820	325	13	1	1	NUM
ejpam-6820	325	14	)	)	PUNCT
ejpam-6820	325	15	system	system	NOUN
ejpam-6820	325	16	(	(	PUNCT
ejpam-6820	325	17	14	14	NUM
ejpam-6820	325	18	)	)	PUNCT
ejpam-6820	325	19	is	be	AUX
ejpam-6820	325	20	completely	completely	ADV
ejpam-6820	325	21	controllable	controllable	ADJ
ejpam-6820	325	22	on	on	ADP
ejpam-6820	325	23	[	[	X
ejpam-6820	325	24	0,5	0,5	X
ejpam-6820	325	25	]	]	X
ejpam-6820	325	26	example	example	NOUN
ejpam-6820	325	27	2	2	NUM
ejpam-6820	325	28	.	.	X
ejpam-6820	325	29	evaluate	evaluate	VERB
ejpam-6820	325	30	the	the	DET
ejpam-6820	325	31	following	follow	VERB
ejpam-6820	325	32	non	non	ADJ
ejpam-6820	325	33	-	-	ADJ
ejpam-6820	325	34	linear	linear	ADJ
ejpam-6820	325	35	control	control	NOUN
ejpam-6820	325	36	system	system	NOUN
ejpam-6820	325	37	cdma(r	cdma(r	PROPN
ejpam-6820	325	38	)	)	PUNCT
ejpam-6820	326	1	+	+	NUM
ejpam-6820	327	1	2∑	2∑	X
ejpam-6820	327	2	g=1	g=1	ADP
ejpam-6820	327	3	ug	ug	ADP
ejpam-6820	327	4	cdnga(r	cdnga(r	NOUN
ejpam-6820	327	5	)	)	PUNCT
ejpam-6820	327	6	=	=	SYM
ejpam-6820	327	7	ka(r	ka(r	NOUN
ejpam-6820	327	8	)	)	PUNCT
ejpam-6820	328	1	+	+	CCONJ
ejpam-6820	328	2	ey(r	ey(r	NOUN
ejpam-6820	328	3	)	)	PUNCT
ejpam-6820	329	1	+	+	X
ejpam-6820	329	2	v	v	X
ejpam-6820	329	3	(	(	PUNCT
ejpam-6820	329	4	r	r	NOUN
ejpam-6820	329	5	,	,	PUNCT
ejpam-6820	329	6	a(r	a(r	NOUN
ejpam-6820	329	7	)	)	PUNCT
ejpam-6820	329	8	)	)	PUNCT
ejpam-6820	330	1	+	+	ADP
ejpam-6820	330	2	h(r	h(r	ADJ
ejpam-6820	330	3	,	,	PUNCT
ejpam-6820	330	4	a(r))dξ(r	a(r))dξ(r	PROPN
ejpam-6820	330	5	)	)	PUNCT
ejpam-6820	330	6	,	,	PUNCT
ejpam-6820	330	7	(	(	PUNCT
ejpam-6820	330	8	15	15	X
ejpam-6820	330	9	)	)	PUNCT
ejpam-6820	330	10	r	r	NOUN
ejpam-6820	330	11	∈	∈	NOUN
ejpam-6820	331	1	i	i	NOUN
ejpam-6820	331	2	=	=	SYM
ejpam-6820	331	3	(	(	PUNCT
ejpam-6820	331	4	0	0	NUM
ejpam-6820	331	5	,	,	PUNCT
ejpam-6820	331	6	8	8	NUM
ejpam-6820	331	7	]	]	SYM
ejpam-6820	331	8	r	r	PROPN
ejpam-6820	331	9	6=	6=	PROPN
ejpam-6820	331	10	rt	rt	PROPN
ejpam-6820	331	11	,	,	PUNCT
ejpam-6820	331	12	m.	m.	NOUN
ejpam-6820	331	13	lavanya	lavanya	NOUN
ejpam-6820	331	14	et	et	PROPN
ejpam-6820	331	15	al	al	PROPN
ejpam-6820	331	16	.	.	PUNCT
ejpam-6820	331	17	/	/	SYM
ejpam-6820	331	18	eur	eur	PROPN
ejpam-6820	331	19	.	.	PUNCT
ejpam-6820	332	1	j.	j.	PROPN
ejpam-6820	332	2	pure	pure	PROPN
ejpam-6820	332	3	appl	appl	PROPN
ejpam-6820	332	4	.	.	PROPN
ejpam-6820	332	5	math	math	PROPN
ejpam-6820	332	6	,	,	PUNCT
ejpam-6820	332	7	18	18	NUM
ejpam-6820	332	8	(	(	PUNCT
ejpam-6820	332	9	4	4	NUM
ejpam-6820	332	10	)	)	PUNCT
ejpam-6820	332	11	(	(	PUNCT
ejpam-6820	332	12	2025	2025	NUM
ejpam-6820	332	13	)	)	PUNCT
ejpam-6820	332	14	,	,	PUNCT
ejpam-6820	332	15	6820	6820	NUM
ejpam-6820	332	16	13	13	NUM
ejpam-6820	332	17	of	of	ADP
ejpam-6820	332	18	20	20	NUM
ejpam-6820	332	19	figure	figure	NOUN
ejpam-6820	332	20	2	2	NUM
ejpam-6820	332	21	:	:	PUNCT
ejpam-6820	332	22	solution	solution	NOUN
ejpam-6820	332	23	of	of	ADP
ejpam-6820	332	24	the	the	DET
ejpam-6820	332	25	system	system	NOUN
ejpam-6820	332	26	(	(	PUNCT
ejpam-6820	332	27	14	14	NUM
ejpam-6820	332	28	)	)	PUNCT
ejpam-6820	332	29	on	on	ADP
ejpam-6820	332	30	[	[	X
ejpam-6820	332	31	0	0	NUM
ejpam-6820	332	32	,	,	PUNCT
ejpam-6820	332	33	10	10	NUM
ejpam-6820	332	34	]	]	PUNCT
ejpam-6820	332	35	for	for	ADP
ejpam-6820	332	36	m	m	PROPN
ejpam-6820	332	37	=	=	NOUN
ejpam-6820	332	38	1.9	1.9	NUM
ejpam-6820	332	39	,	,	PUNCT
ejpam-6820	332	40	k	k	NOUN
ejpam-6820	332	41	=	=	SYM
ejpam-6820	332	42	−0.0632	−0.0632	NOUN
ejpam-6820	332	43	.	.	PUNCT
ejpam-6820	333	1	∆a(rt	∆a(rt	NOUN
ejpam-6820	333	2	)	)	PUNCT
ejpam-6820	334	1	=	=	SYM
ejpam-6820	334	2	1.8	1.8	NUM
ejpam-6820	334	3	+	+	CCONJ
ejpam-6820	334	4	a(t−i	a(t−i	NOUN
ejpam-6820	334	5	)	)	PUNCT
ejpam-6820	334	6	3	3	NUM
ejpam-6820	334	7	t	t	NOUN
ejpam-6820	334	8	=	=	SYM
ejpam-6820	335	1	i	i	PRON
ejpam-6820	335	2	2	2	NUM
ejpam-6820	335	3	,	,	PUNCT
ejpam-6820	335	4	i	i	PRON
ejpam-6820	335	5	=	=	NOUN
ejpam-6820	335	6	1	1	NUM
ejpam-6820	335	7	,	,	PUNCT
ejpam-6820	335	8	2	2	NUM
ejpam-6820	335	9	,	,	PUNCT
ejpam-6820	335	10	3	3	NUM
ejpam-6820	335	11	,	,	PUNCT
ejpam-6820	335	12	4	4	NUM
ejpam-6820	335	13	a′(0	a′(0	NOUN
ejpam-6820	335	14	)	)	PUNCT
ejpam-6820	335	15	=	=	SYM
ejpam-6820	335	16	δ	δ	PROPN
ejpam-6820	335	17	where	where	SCONJ
ejpam-6820	335	18	m	m	VERB
ejpam-6820	335	19	=	=	SYM
ejpam-6820	335	20	1.8,k	1.8,k	NUM
ejpam-6820	335	21	−	−	PROPN
ejpam-6820	335	22	0.1429	0.1429	NUM
ejpam-6820	335	23	,	,	PUNCT
ejpam-6820	335	24	h	h	NOUN
ejpam-6820	335	25	=	=	SYM
ejpam-6820	335	26	5	5	NUM
ejpam-6820	335	27	,	,	PUNCT
ejpam-6820	335	28	e	e	X
ejpam-6820	335	29	=	=	SYM
ejpam-6820	335	30	2	2	NUM
ejpam-6820	335	31	,	,	PUNCT
ejpam-6820	335	32	u1	u1	NOUN
ejpam-6820	335	33	=	=	SYM
ejpam-6820	335	34	0.5	0.5	NUM
ejpam-6820	335	35	,	,	PUNCT
ejpam-6820	335	36	u2	u2	NOUN
ejpam-6820	335	37	=	=	NOUN
ejpam-6820	335	38	1	1	NUM
ejpam-6820	335	39	v	v	NOUN
ejpam-6820	335	40	(	(	PUNCT
ejpam-6820	335	41	r	r	NOUN
ejpam-6820	335	42	,	,	PUNCT
ejpam-6820	335	43	a(r	a(r	NOUN
ejpam-6820	335	44	)	)	PUNCT
ejpam-6820	335	45	)	)	PUNCT
ejpam-6820	336	1	=	=	SYM
ejpam-6820	336	2	a(r)+0.074	a(r)+0.074	PROPN
ejpam-6820	336	3	r+0.34	r+0.34	PROPN
ejpam-6820	336	4	and	and	CCONJ
ejpam-6820	336	5	a′(0	a′(0	NOUN
ejpam-6820	336	6	)	)	PUNCT
ejpam-6820	336	7	=	=	SYM
ejpam-6820	336	8	0.2	0.2	NUM
ejpam-6820	336	9	the	the	DET
ejpam-6820	336	10	solution	solution	NOUN
ejpam-6820	336	11	of	of	ADP
ejpam-6820	336	12	the	the	DET
ejpam-6820	336	13	system	system	NOUN
ejpam-6820	336	14	(	(	PUNCT
ejpam-6820	336	15	15	15	NUM
ejpam-6820	336	16	)	)	PUNCT
ejpam-6820	336	17	as	as	ADP
ejpam-6820	336	18	:	:	PUNCT
ejpam-6820	336	19	a(r	a(r	NOUN
ejpam-6820	336	20	)	)	PUNCT
ejpam-6820	336	21	=	=	SYM
ejpam-6820	336	22			NUM
ejpam-6820	337	1	∫	∫	PROPN
ejpam-6820	337	2	r	r	NOUN
ejpam-6820	337	3	0	0	NUM
ejpam-6820	337	4	p1.8(r	p1.8(r	NOUN
ejpam-6820	338	1	−	−	NOUN
ejpam-6820	338	2	q)δdq	q)δdq	PROPN
ejpam-6820	338	3	+	+	PROPN
ejpam-6820	339	1	∑2	∑2	NOUN
ejpam-6820	340	1	g=1	g=1	X
ejpam-6820	340	2	ug	ug	ADP
ejpam-6820	340	3	r	r	NOUN
ejpam-6820	340	4	1.8−1p1.8,1	1.8−1p1.8,1	NUM
ejpam-6820	340	5	+	+	SYM
ejpam-6820	340	6	1.8−ng(r)δ	1.8−ng(r)δ	NUM
ejpam-6820	340	7	+	+	NUM
ejpam-6820	340	8	∫	∫	PROPN
ejpam-6820	340	9	r	r	NOUN
ejpam-6820	340	10	0	0	NUM
ejpam-6820	341	1	(	(	PUNCT
ejpam-6820	341	2	r	r	NOUN
ejpam-6820	341	3	−	−	PROPN
ejpam-6820	341	4	q)1.8−1p1.8,1.8(r	q)1.8−1p1.8,1.8(r	PROPN
ejpam-6820	341	5	−	−	PROPN
ejpam-6820	342	1	q)[v	q)[v	PROPN
ejpam-6820	342	2	(	(	PUNCT
ejpam-6820	342	3	q	q	PROPN
ejpam-6820	342	4	,	,	PUNCT
ejpam-6820	342	5	a(q	a(q	PROPN
ejpam-6820	342	6	)	)	PUNCT
ejpam-6820	342	7	)	)	PUNCT
ejpam-6820	343	1	+	+	NUM
ejpam-6820	344	1	ey(q)]dq	ey(q)]dq	NUM
ejpam-6820	344	2	+	+	NUM
ejpam-6820	344	3	∫	∫	PROPN
ejpam-6820	344	4	r	r	NOUN
ejpam-6820	344	5	0	0	NUM
ejpam-6820	345	1	(	(	PUNCT
ejpam-6820	345	2	r	r	NOUN
ejpam-6820	345	3	−	−	PROPN
ejpam-6820	345	4	q)1.8−1p1.8,1.8(r	q)1.8−1p1.8,1.8(r	PROPN
ejpam-6820	345	5	−	−	PROPN
ejpam-6820	345	6	q)h(q	q)h(q	NOUN
ejpam-6820	345	7	,	,	PUNCT
ejpam-6820	345	8	a(q))dξ(q	a(q))dξ(q	NOUN
ejpam-6820	345	9	)	)	PUNCT
ejpam-6820	345	10	for	for	ADP
ejpam-6820	345	11	r	r	PROPN
ejpam-6820	345	12	∈	∈	PROPN
ejpam-6820	345	13	(	(	PUNCT
ejpam-6820	345	14	o	o	NOUN
ejpam-6820	345	15	,	,	PUNCT
ejpam-6820	345	16	8	8	NUM
ejpam-6820	345	17	]	]	SYM
ejpam-6820	345	18	∫	∫	PROPN
ejpam-6820	345	19	r	r	NOUN
ejpam-6820	345	20	0	0	NUM
ejpam-6820	345	21	p1.8(r	p1.8(r	NOUN
ejpam-6820	345	22	−	−	NOUN
ejpam-6820	346	1	q)δdq	q)δdq	PROPN
ejpam-6820	346	2	+	+	PROPN
ejpam-6820	347	1	∑2	∑2	NOUN
ejpam-6820	348	1	g=1	g=1	X
ejpam-6820	348	2	ug	ug	ADP
ejpam-6820	348	3	r	r	NOUN
ejpam-6820	348	4	1.8−1p1.8,1	1.8−1p1.8,1	NUM
ejpam-6820	348	5	+	+	SYM
ejpam-6820	348	6	1.8−ng(r)δ	1.8−ng(r)δ	NUM
ejpam-6820	348	7	+	+	X
ejpam-6820	348	8	∑s	∑s	PROPN
ejpam-6820	348	9	θ=1	θ=1	ADP
ejpam-6820	348	10	jθ(a(r	jθ(a(r	NOUN
ejpam-6820	348	11	−	−	PROPN
ejpam-6820	348	12	θ	θ	NOUN
ejpam-6820	348	13	)	)	PUNCT
ejpam-6820	348	14	)	)	PUNCT
ejpam-6820	349	1	+	+	CCONJ
ejpam-6820	349	2	∫	∫	X
ejpam-6820	349	3	r	r	NOUN
ejpam-6820	349	4	0	0	NUM
ejpam-6820	350	1	(	(	PUNCT
ejpam-6820	350	2	r	r	NOUN
ejpam-6820	350	3	−	−	PROPN
ejpam-6820	350	4	q)1.8−1p1.8,1.8(r	q)1.8−1p1.8,1.8(r	PROPN
ejpam-6820	350	5	−	−	PROPN
ejpam-6820	351	1	q)[v	q)[v	PROPN
ejpam-6820	351	2	(	(	PUNCT
ejpam-6820	351	3	q	q	PROPN
ejpam-6820	351	4	,	,	PUNCT
ejpam-6820	351	5	a(q	a(q	PROPN
ejpam-6820	351	6	)	)	PUNCT
ejpam-6820	351	7	)	)	PUNCT
ejpam-6820	352	1	+	+	NUM
ejpam-6820	353	1	ey(q)]dq	ey(q)]dq	NUM
ejpam-6820	353	2	+	+	NUM
ejpam-6820	353	3	∫	∫	PROPN
ejpam-6820	353	4	r	r	NOUN
ejpam-6820	353	5	0	0	NUM
ejpam-6820	354	1	(	(	PUNCT
ejpam-6820	354	2	r	r	NOUN
ejpam-6820	354	3	−	−	PROPN
ejpam-6820	354	4	q)1.8−1p1.8,1.8(r	q)1.8−1p1.8,1.8(r	PROPN
ejpam-6820	354	5	−	−	PROPN
ejpam-6820	354	6	q)h(q	q)h(q	NOUN
ejpam-6820	354	7	,	,	PUNCT
ejpam-6820	354	8	a(q))dξ(q	a(q))dξ(q	NOUN
ejpam-6820	354	9	)	)	PUNCT
ejpam-6820	354	10	for	for	ADP
ejpam-6820	354	11	r	r	PROPN
ejpam-6820	354	12	∈	∈	PROPN
ejpam-6820	354	13	(	(	PUNCT
ejpam-6820	354	14	rt	rt	PROPN
ejpam-6820	354	15	,	,	PUNCT
ejpam-6820	354	16	rt	rt	PROPN
ejpam-6820	355	1	+	+	NOUN
ejpam-6820	355	2	1	1	NUM
ejpam-6820	355	3	]	]	PUNCT
ejpam-6820	355	4	,	,	PUNCT
ejpam-6820	355	5	t	t	PROPN
ejpam-6820	355	6	=	=	SYM
ejpam-6820	355	7	1	1	NUM
ejpam-6820	355	8	,	,	PUNCT
ejpam-6820	355	9	2	2	NUM
ejpam-6820	355	10	,	,	PUNCT
ejpam-6820	355	11	3	3	NUM
ejpam-6820	355	12	,	,	PUNCT
ejpam-6820	355	13	4	4	NUM
ejpam-6820	355	14	.	.	PUNCT
ejpam-6820	356	1	the	the	DET
ejpam-6820	356	2	controllability	controllability	NOUN
ejpam-6820	356	3	grammian	grammian	ADJ
ejpam-6820	356	4	operator	operator	NOUN
ejpam-6820	356	5	,	,	PUNCT
ejpam-6820	356	6	bk	bk	PROPN
ejpam-6820	356	7	m	m	PROPN
ejpam-6820	356	8	,	,	PUNCT
ejpam-6820	356	9	ng	ng	PROPN
ejpam-6820	357	1	[	[	X
ejpam-6820	357	2	0	0	NUM
ejpam-6820	357	3	,	,	PUNCT
ejpam-6820	357	4	z	z	NOUN
ejpam-6820	357	5	]	]	X
ejpam-6820	357	6	=	=	PUNCT
ejpam-6820	357	7	2.7391	2.7391	NUM
ejpam-6820	357	8	>	>	SYM
ejpam-6820	357	9	0	0	NUM
ejpam-6820	357	10	which	which	PRON
ejpam-6820	357	11	is	be	AUX
ejpam-6820	357	12	positive	positive	ADJ
ejpam-6820	357	13	definite	definite	ADJ
ejpam-6820	357	14	,	,	PUNCT
ejpam-6820	357	15	hence	hence	ADV
ejpam-6820	357	16	by	by	ADP
ejpam-6820	357	17	theorem	theorem	NOUN
ejpam-6820	357	18	(	(	PUNCT
ejpam-6820	357	19	2	2	NUM
ejpam-6820	357	20	)	)	PUNCT
ejpam-6820	357	21	system	system	NOUN
ejpam-6820	357	22	(	(	PUNCT
ejpam-6820	357	23	15	15	NUM
ejpam-6820	357	24	)	)	PUNCT
ejpam-6820	357	25	is	be	AUX
ejpam-6820	357	26	completely	completely	ADV
ejpam-6820	357	27	controllable	controllable	ADJ
ejpam-6820	357	28	on	on	ADP
ejpam-6820	357	29	[	[	X
ejpam-6820	357	30	0,8	0,8	NUM
ejpam-6820	357	31	]	]	X
ejpam-6820	357	32	m.	m.	NOUN
ejpam-6820	357	33	lavanya	lavanya	NOUN
ejpam-6820	357	34	et	et	PROPN
ejpam-6820	357	35	al	al	PROPN
ejpam-6820	357	36	.	.	PUNCT
ejpam-6820	357	37	/	/	SYM
ejpam-6820	357	38	eur	eur	PROPN
ejpam-6820	357	39	.	.	PUNCT
ejpam-6820	358	1	j.	j.	PROPN
ejpam-6820	358	2	pure	pure	PROPN
ejpam-6820	358	3	appl	appl	PROPN
ejpam-6820	358	4	.	.	PROPN
ejpam-6820	358	5	math	math	PROPN
ejpam-6820	358	6	,	,	PUNCT
ejpam-6820	358	7	18	18	NUM
ejpam-6820	358	8	(	(	PUNCT
ejpam-6820	358	9	4	4	NUM
ejpam-6820	358	10	)	)	PUNCT
ejpam-6820	358	11	(	(	PUNCT
ejpam-6820	358	12	2025	2025	NUM
ejpam-6820	358	13	)	)	PUNCT
ejpam-6820	358	14	,	,	PUNCT
ejpam-6820	358	15	6820	6820	NUM
ejpam-6820	358	16	14	14	NUM
ejpam-6820	358	17	of	of	ADP
ejpam-6820	358	18	20	20	NUM
ejpam-6820	358	19	figure	figure	NOUN
ejpam-6820	358	20	3	3	NUM
ejpam-6820	358	21	:	:	PUNCT
ejpam-6820	358	22	solution	solution	NOUN
ejpam-6820	358	23	and	and	CCONJ
ejpam-6820	358	24	control	control	NOUN
ejpam-6820	358	25	of	of	ADP
ejpam-6820	358	26	the	the	DET
ejpam-6820	358	27	system	system	NOUN
ejpam-6820	358	28	(	(	PUNCT
ejpam-6820	358	29	14	14	NUM
ejpam-6820	358	30	)	)	PUNCT
ejpam-6820	358	31	on	on	ADP
ejpam-6820	358	32	[	[	X
ejpam-6820	358	33	0	0	NUM
ejpam-6820	358	34	,	,	PUNCT
ejpam-6820	358	35	5	5	NUM
ejpam-6820	358	36	]	]	PUNCT
ejpam-6820	358	37	for	for	ADP
ejpam-6820	358	38	m	m	PROPN
ejpam-6820	358	39	=	=	NOUN
ejpam-6820	358	40	1.2	1.2	NUM
ejpam-6820	358	41	,	,	PUNCT
ejpam-6820	358	42	k	k	NOUN
ejpam-6820	358	43	=	=	SYM
ejpam-6820	358	44	−0.0543	−0.0543	PROPN
ejpam-6820	358	45	.	.	PUNCT
ejpam-6820	359	1	5	5	NUM
ejpam-6820	359	2	.	.	X
ejpam-6820	359	3	stochastic	stochastic	ADJ
ejpam-6820	359	4	stability	stability	NOUN
ejpam-6820	359	5	evaluate	evaluate	VERB
ejpam-6820	359	6	the	the	DET
ejpam-6820	359	7	following	follow	VERB
ejpam-6820	359	8	system	system	NOUN
ejpam-6820	359	9	cdma(r	cdma(r	PROPN
ejpam-6820	359	10	)	)	PUNCT
ejpam-6820	360	1	+	+	CCONJ
ejpam-6820	361	1	x∑	x∑	X
ejpam-6820	361	2	g=1	g=1	PROPN
ejpam-6820	361	3	ug	ug	ADP
ejpam-6820	361	4	cdnga(r	cdnga(r	NOUN
ejpam-6820	361	5	)	)	PUNCT
ejpam-6820	361	6	=	=	SYM
ejpam-6820	361	7	ka(r	ka(r	NOUN
ejpam-6820	361	8	)	)	PUNCT
ejpam-6820	362	1	+	+	CCONJ
ejpam-6820	362	2	v	v	X
ejpam-6820	362	3	(	(	PUNCT
ejpam-6820	362	4	r	r	NOUN
ejpam-6820	362	5	,	,	PUNCT
ejpam-6820	362	6	a(r	a(r	NOUN
ejpam-6820	362	7	)	)	PUNCT
ejpam-6820	362	8	)	)	PUNCT
ejpam-6820	363	1	+	+	ADP
ejpam-6820	363	2	h(r	h(r	ADJ
ejpam-6820	363	3	,	,	PUNCT
ejpam-6820	363	4	a(r))dξ(r	a(r))dξ(r	PROPN
ejpam-6820	363	5	)	)	PUNCT
ejpam-6820	363	6	,	,	PUNCT
ejpam-6820	363	7	(	(	PUNCT
ejpam-6820	363	8	16	16	X
ejpam-6820	363	9	)	)	PUNCT
ejpam-6820	363	10	r	r	NOUN
ejpam-6820	363	11	∈	∈	NOUN
ejpam-6820	363	12	i	i	NOUN
ejpam-6820	363	13	=	=	SYM
ejpam-6820	363	14	(	(	PUNCT
ejpam-6820	363	15	0	0	NUM
ejpam-6820	363	16	,	,	PUNCT
ejpam-6820	363	17	z	z	NOUN
ejpam-6820	363	18	]	]	X
ejpam-6820	363	19	r	r	X
ejpam-6820	363	20	6=	6=	PROPN
ejpam-6820	363	21	rt	rt	PROPN
ejpam-6820	363	22	,	,	PUNCT
ejpam-6820	363	23	∆a(rt	∆a(rt	NOUN
ejpam-6820	363	24	)	)	PUNCT
ejpam-6820	363	25	=	=	SYM
ejpam-6820	363	26	jt(a(r	jt(a(r	NOUN
ejpam-6820	363	27	−	−	PROPN
ejpam-6820	363	28	t	t	PROPN
ejpam-6820	363	29	)	)	PUNCT
ejpam-6820	363	30	)	)	PUNCT
ejpam-6820	363	31	,	,	PUNCT
ejpam-6820	363	32	t	t	NOUN
ejpam-6820	363	33	=	=	SYM
ejpam-6820	363	34	1	1	NUM
ejpam-6820	363	35	,	,	PUNCT
ejpam-6820	363	36	2	2	NUM
ejpam-6820	363	37	,	,	PUNCT
ejpam-6820	363	38	...	...	PUNCT
ejpam-6820	363	39	,	,	PUNCT
ejpam-6820	363	40	s	s	X
ejpam-6820	363	41	,	,	PUNCT
ejpam-6820	363	42	a′(0	a′(0	ADJ
ejpam-6820	363	43	)	)	PUNCT
ejpam-6820	363	44	=	=	SYM
ejpam-6820	363	45	δ	δ	X
ejpam-6820	363	46	the	the	DET
ejpam-6820	363	47	solution	solution	NOUN
ejpam-6820	363	48	of	of	ADP
ejpam-6820	363	49	(	(	PUNCT
ejpam-6820	363	50	16	16	NUM
ejpam-6820	363	51	)	)	PUNCT
ejpam-6820	363	52	is	be	AUX
ejpam-6820	363	53	a(r	a(r	NOUN
ejpam-6820	363	54	)	)	PUNCT
ejpam-6820	363	55	=	=	SYM
ejpam-6820	364	1			NUM
ejpam-6820	364	2	∫	∫	PROPN
ejpam-6820	364	3	r	r	NOUN
ejpam-6820	364	4	0	0	NUM
ejpam-6820	364	5	pm(r	pm(r	NOUN
ejpam-6820	364	6	−	−	PROPN
ejpam-6820	365	1	q)δdq	q)δdq	PROPN
ejpam-6820	365	2	+	+	X
ejpam-6820	365	3	∑x	∑x	PROPN
ejpam-6820	365	4	g=1	g=1	PROPN
ejpam-6820	365	5	ug	ug	ADP
ejpam-6820	365	6	r	r	NOUN
ejpam-6820	365	7	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	365	8	+	+	CCONJ
ejpam-6820	366	1	∫	∫	PROPN
ejpam-6820	366	2	r	r	NOUN
ejpam-6820	366	3	0	0	NUM
ejpam-6820	367	1	(	(	PUNCT
ejpam-6820	367	2	r	r	NOUN
ejpam-6820	367	3	−	−	PROPN
ejpam-6820	367	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	367	5	,	,	PUNCT
ejpam-6820	367	6	m(r	m(r	PROPN
ejpam-6820	367	7	−	−	PROPN
ejpam-6820	368	1	q)[v	q)[v	PROPN
ejpam-6820	368	2	(	(	PUNCT
ejpam-6820	368	3	q	q	NOUN
ejpam-6820	368	4	,	,	PUNCT
ejpam-6820	368	5	a(q))]dq	a(q))]dq	PROPN
ejpam-6820	368	6	+	+	CCONJ
ejpam-6820	368	7	∫	∫	PROPN
ejpam-6820	368	8	r	r	NOUN
ejpam-6820	368	9	0	0	NUM
ejpam-6820	369	1	(	(	PUNCT
ejpam-6820	369	2	r	r	NOUN
ejpam-6820	369	3	−	−	PROPN
ejpam-6820	369	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	369	5	,	,	PUNCT
ejpam-6820	369	6	m(r	m(r	NOUN
ejpam-6820	369	7	−	−	PROPN
ejpam-6820	369	8	q)h(q	q)h(q	NOUN
ejpam-6820	369	9	,	,	PUNCT
ejpam-6820	369	10	a(q))dξ(q	a(q))dξ(q	NOUN
ejpam-6820	369	11	)	)	PUNCT
ejpam-6820	369	12	for	for	ADP
ejpam-6820	369	13	r	r	PROPN
ejpam-6820	369	14	∈	∈	PROPN
ejpam-6820	369	15	(	(	PUNCT
ejpam-6820	369	16	o	o	NOUN
ejpam-6820	369	17	,	,	PUNCT
ejpam-6820	369	18	r1	r1	PROPN
ejpam-6820	369	19	]	]	PUNCT
ejpam-6820	369	20	∫	∫	PROPN
ejpam-6820	369	21	r	r	NOUN
ejpam-6820	369	22	0	0	NUM
ejpam-6820	369	23	pm(r	pm(r	NOUN
ejpam-6820	369	24	−	−	PROPN
ejpam-6820	369	25	q)δdq	q)δdq	PROPN
ejpam-6820	369	26	+	+	X
ejpam-6820	369	27	∑x	∑x	PROPN
ejpam-6820	369	28	g=1	g=1	PROPN
ejpam-6820	369	29	ug	ug	ADP
ejpam-6820	369	30	r	r	NOUN
ejpam-6820	369	31	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	369	32	+	+	CCONJ
ejpam-6820	370	1	∑s	∑s	PROPN
ejpam-6820	370	2	θ=1	θ=1	ADP
ejpam-6820	370	3	jθ(a(r	jθ(a(r	NOUN
ejpam-6820	370	4	−	−	PROPN
ejpam-6820	370	5	θ	θ	NOUN
ejpam-6820	370	6	)	)	PUNCT
ejpam-6820	370	7	)	)	PUNCT
ejpam-6820	371	1	+	+	CCONJ
ejpam-6820	371	2	∫	∫	X
ejpam-6820	371	3	r	r	NOUN
ejpam-6820	371	4	0	0	NUM
ejpam-6820	371	5	(	(	PUNCT
ejpam-6820	371	6	r	r	NOUN
ejpam-6820	371	7	−	−	PROPN
ejpam-6820	371	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	371	9	,	,	PUNCT
ejpam-6820	371	10	m(r	m(r	PROPN
ejpam-6820	371	11	−	−	PROPN
ejpam-6820	372	1	q)[v	q)[v	PROPN
ejpam-6820	372	2	(	(	PUNCT
ejpam-6820	372	3	q	q	NOUN
ejpam-6820	372	4	,	,	PUNCT
ejpam-6820	372	5	a(q))]dq	a(q))]dq	PROPN
ejpam-6820	372	6	+	+	CCONJ
ejpam-6820	372	7	∫	∫	PROPN
ejpam-6820	372	8	r	r	NOUN
ejpam-6820	372	9	0	0	NUM
ejpam-6820	373	1	(	(	PUNCT
ejpam-6820	373	2	r	r	NOUN
ejpam-6820	373	3	−	−	PROPN
ejpam-6820	373	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	373	5	,	,	PUNCT
ejpam-6820	373	6	m(r	m(r	NOUN
ejpam-6820	373	7	−	−	PROPN
ejpam-6820	373	8	q)h(q	q)h(q	NOUN
ejpam-6820	373	9	,	,	PUNCT
ejpam-6820	373	10	a(q))dξ(q	a(q))dξ(q	NOUN
ejpam-6820	373	11	)	)	PUNCT
ejpam-6820	373	12	for	for	ADP
ejpam-6820	373	13	r	r	PROPN
ejpam-6820	373	14	∈	∈	PROPN
ejpam-6820	373	15	(	(	PUNCT
ejpam-6820	373	16	rt	rt	PROPN
ejpam-6820	373	17	,	,	PUNCT
ejpam-6820	373	18	rt	rt	PROPN
ejpam-6820	373	19	+	+	NOUN
ejpam-6820	373	20	1	1	NUM
ejpam-6820	373	21	]	]	PUNCT
ejpam-6820	373	22	,	,	PUNCT
ejpam-6820	373	23	t	t	PROPN
ejpam-6820	373	24	=	=	SYM
ejpam-6820	373	25	1	1	NUM
ejpam-6820	373	26	,	,	PUNCT
ejpam-6820	373	27	2	2	NUM
ejpam-6820	373	28	,	,	PUNCT
ejpam-6820	373	29	3	3	NUM
ejpam-6820	373	30	,	,	PUNCT
ejpam-6820	373	31	...	...	PUNCT
ejpam-6820	373	32	,	,	PUNCT
ejpam-6820	373	33	s	s	PART
ejpam-6820	373	34	definition	definition	NOUN
ejpam-6820	373	35	3	3	NUM
ejpam-6820	373	36	.	.	PUNCT
ejpam-6820	374	1	(	(	PUNCT
ejpam-6820	374	2	[	[	X
ejpam-6820	374	3	17	17	NUM
ejpam-6820	374	4	]	]	PUNCT
ejpam-6820	374	5	)	)	PUNCT
ejpam-6820	374	6	the	the	DET
ejpam-6820	374	7	solution	solution	NOUN
ejpam-6820	374	8	a(r	a(r	NOUN
ejpam-6820	374	9	)	)	PUNCT
ejpam-6820	374	10	=	=	SYM
ejpam-6820	374	11	0	0	NUM
ejpam-6820	374	12	of	of	ADP
ejpam-6820	374	13	equation	equation	NOUN
ejpam-6820	374	14	(	(	PUNCT
ejpam-6820	374	15	16	16	NUM
ejpam-6820	374	16	)	)	PUNCT
ejpam-6820	374	17	is	be	AUX
ejpam-6820	374	18	stochastically	stochastically	ADV
ejpam-6820	374	19	stable	stable	ADJ
ejpam-6820	374	20	in	in	ADP
ejpam-6820	374	21	the	the	DET
ejpam-6820	374	22	norm	norm	NOUN
ejpam-6820	374	23	.	.	PUNCT
ejpam-6820	375	1	if	if	SCONJ
ejpam-6820	375	2	,	,	PUNCT
ejpam-6820	375	3	given	give	VERB
ejpam-6820	375	4	ε	ε	PROPN
ejpam-6820	375	5	>	>	X
ejpam-6820	375	6	0	0	PROPN
ejpam-6820	375	7	,	,	PUNCT
ejpam-6820	375	8	∃	∃	PROPN
ejpam-6820	375	9	δ(ε	δ(ε	PROPN
ejpam-6820	375	10	)	)	PUNCT
ejpam-6820	375	11	>	>	X
ejpam-6820	375	12	0	0	NUM
ejpam-6820	375	13	3	3	NUM
ejpam-6820	375	14	:	:	PUNCT
ejpam-6820	375	15	for	for	ADP
ejpam-6820	375	16	any	any	DET
ejpam-6820	375	17	initial	initial	ADJ
ejpam-6820	375	18	condition	condition	NOUN
ejpam-6820	375	19	whose	whose	DET
ejpam-6820	375	20	norm	norm	NOUN
ejpam-6820	375	21	satisfies	satisfy	VERB
ejpam-6820	375	22	‖a1‖2	‖a1‖2	NOUN
ejpam-6820	375	23	<	<	X
ejpam-6820	375	24	δ	δ	PROPN
ejpam-6820	375	25	the	the	DET
ejpam-6820	375	26	norm	norm	NOUN
ejpam-6820	375	27	of	of	ADP
ejpam-6820	375	28	the	the	DET
ejpam-6820	375	29	solution	solution	NOUN
ejpam-6820	375	30	process	process	NOUN
ejpam-6820	375	31	satisfies	satisfy	VERB
ejpam-6820	375	32	e‖a(r)‖2	e‖a(r)‖2	NOUN
ejpam-6820	375	33	<	<	X
ejpam-6820	375	34	ε	ε	PROPN
ejpam-6820	375	35	,	,	PUNCT
ejpam-6820	375	36	∀g	∀g	X
ejpam-6820	375	37	≥	≥	NOUN
ejpam-6820	375	38	g0	g0	PROPN
ejpam-6820	375	39	m.	m.	PROPN
ejpam-6820	375	40	lavanya	lavanya	PROPN
ejpam-6820	375	41	et	et	PROPN
ejpam-6820	375	42	al	al	PROPN
ejpam-6820	375	43	.	.	PUNCT
ejpam-6820	375	44	/	/	SYM
ejpam-6820	375	45	eur	eur	PROPN
ejpam-6820	375	46	.	.	PUNCT
ejpam-6820	376	1	j.	j.	PROPN
ejpam-6820	376	2	pure	pure	PROPN
ejpam-6820	376	3	appl	appl	PROPN
ejpam-6820	376	4	.	.	PROPN
ejpam-6820	376	5	math	math	PROPN
ejpam-6820	376	6	,	,	PUNCT
ejpam-6820	376	7	18	18	NUM
ejpam-6820	376	8	(	(	PUNCT
ejpam-6820	376	9	4	4	NUM
ejpam-6820	376	10	)	)	PUNCT
ejpam-6820	376	11	(	(	PUNCT
ejpam-6820	376	12	2025	2025	NUM
ejpam-6820	376	13	)	)	PUNCT
ejpam-6820	376	14	,	,	PUNCT
ejpam-6820	376	15	6820	6820	NUM
ejpam-6820	376	16	15	15	NUM
ejpam-6820	376	17	of	of	ADP
ejpam-6820	376	18	20	20	NUM
ejpam-6820	376	19	theorem	theorem	NOUN
ejpam-6820	376	20	3	3	NUM
ejpam-6820	376	21	.	.	PUNCT
ejpam-6820	377	1	under	under	ADP
ejpam-6820	377	2	the	the	DET
ejpam-6820	377	3	assumptions	assumption	NOUN
ejpam-6820	377	4	(	(	PUNCT
ejpam-6820	377	5	f11)−	f11)−	X
ejpam-6820	377	6	(	(	PUNCT
ejpam-6820	377	7	f13	f13	ADJ
ejpam-6820	377	8	)	)	PUNCT
ejpam-6820	377	9	,	,	PUNCT
ejpam-6820	377	10	the	the	DET
ejpam-6820	377	11	system	system	NOUN
ejpam-6820	377	12	(	(	PUNCT
ejpam-6820	377	13	16	16	NUM
ejpam-6820	377	14	)	)	PUNCT
ejpam-6820	377	15	is	be	AUX
ejpam-6820	377	16	stochastic	stochastic	ADJ
ejpam-6820	377	17	stable	stable	ADJ
ejpam-6820	377	18	on	on	ADP
ejpam-6820	377	19	[	[	X
ejpam-6820	377	20	0	0	NUM
ejpam-6820	377	21	,	,	PUNCT
ejpam-6820	377	22	j	j	NOUN
ejpam-6820	377	23	]	]	X
ejpam-6820	377	24	.	.	PUNCT
ejpam-6820	378	1	proof	proof	NOUN
ejpam-6820	378	2	:	:	PUNCT
ejpam-6820	378	3	define	define	VERB
ejpam-6820	378	4	ω	ω	NOUN
ejpam-6820	378	5	:	:	PUNCT
ejpam-6820	379	1	c′(i	c′(i	X
ejpam-6820	379	2	,	,	PUNCT
ejpam-6820	379	3	r	r	NOUN
ejpam-6820	379	4	)	)	PUNCT
ejpam-6820	379	5	→	→	SYM
ejpam-6820	379	6	c′(i	c′(i	X
ejpam-6820	379	7	,	,	PUNCT
ejpam-6820	379	8	r	r	NOUN
ejpam-6820	379	9	)	)	PUNCT
ejpam-6820	379	10	(	(	PUNCT
ejpam-6820	379	11	ωa)(r	ωa)(r	PROPN
ejpam-6820	379	12	)	)	PUNCT
ejpam-6820	379	13	=	=	PUNCT
ejpam-6820	379	14			NUM
ejpam-6820	379	15	∫	∫	PROPN
ejpam-6820	379	16	r	r	NOUN
ejpam-6820	379	17	0	0	NUM
ejpam-6820	379	18	pm(r	pm(r	NOUN
ejpam-6820	379	19	−	−	PROPN
ejpam-6820	380	1	q)δdq	q)δdq	PROPN
ejpam-6820	380	2	+	+	X
ejpam-6820	380	3	∑x	∑x	PROPN
ejpam-6820	380	4	g=1	g=1	PROPN
ejpam-6820	380	5	ug	ug	ADP
ejpam-6820	380	6	r	r	NOUN
ejpam-6820	380	7	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	380	8	+	+	CCONJ
ejpam-6820	381	1	∫	∫	PROPN
ejpam-6820	381	2	r	r	NOUN
ejpam-6820	381	3	0	0	NUM
ejpam-6820	382	1	(	(	PUNCT
ejpam-6820	382	2	r	r	NOUN
ejpam-6820	382	3	−	−	PROPN
ejpam-6820	382	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	382	5	,	,	PUNCT
ejpam-6820	382	6	m(r	m(r	PROPN
ejpam-6820	382	7	−	−	PROPN
ejpam-6820	383	1	q)[v	q)[v	PROPN
ejpam-6820	383	2	(	(	PUNCT
ejpam-6820	383	3	q	q	NOUN
ejpam-6820	383	4	,	,	PUNCT
ejpam-6820	383	5	a(q))]dq	a(q))]dq	PROPN
ejpam-6820	383	6	+	+	CCONJ
ejpam-6820	383	7	∫	∫	PROPN
ejpam-6820	383	8	r	r	NOUN
ejpam-6820	383	9	0	0	NUM
ejpam-6820	384	1	(	(	PUNCT
ejpam-6820	384	2	r	r	NOUN
ejpam-6820	384	3	−	−	PROPN
ejpam-6820	384	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	384	5	,	,	PUNCT
ejpam-6820	384	6	m(r	m(r	NOUN
ejpam-6820	384	7	−	−	PROPN
ejpam-6820	384	8	q)h(q	q)h(q	NOUN
ejpam-6820	384	9	,	,	PUNCT
ejpam-6820	384	10	a(q))dξ(q	a(q))dξ(q	NOUN
ejpam-6820	384	11	)	)	PUNCT
ejpam-6820	384	12	for	for	ADP
ejpam-6820	384	13	r	r	PROPN
ejpam-6820	384	14	∈	∈	PROPN
ejpam-6820	384	15	(	(	PUNCT
ejpam-6820	384	16	o	o	NOUN
ejpam-6820	384	17	,	,	PUNCT
ejpam-6820	384	18	r1	r1	PROPN
ejpam-6820	384	19	]	]	PUNCT
ejpam-6820	384	20	∫	∫	PROPN
ejpam-6820	384	21	r	r	NOUN
ejpam-6820	384	22	0	0	NUM
ejpam-6820	384	23	pm(r	pm(r	NOUN
ejpam-6820	384	24	−	−	PROPN
ejpam-6820	384	25	q)δdq	q)δdq	PROPN
ejpam-6820	384	26	+	+	X
ejpam-6820	384	27	∑x	∑x	PROPN
ejpam-6820	384	28	g=1	g=1	PROPN
ejpam-6820	384	29	ug	ug	ADP
ejpam-6820	384	30	r	r	NOUN
ejpam-6820	384	31	m−1pm,1+m−ng(r)δ	m−1pm,1+m−ng(r)δ	NOUN
ejpam-6820	384	32	+	+	CCONJ
ejpam-6820	385	1	∑s	∑s	PROPN
ejpam-6820	385	2	θ=1	θ=1	ADP
ejpam-6820	385	3	jθ(a(r	jθ(a(r	NOUN
ejpam-6820	385	4	−	−	PROPN
ejpam-6820	385	5	θ	θ	NOUN
ejpam-6820	385	6	)	)	PUNCT
ejpam-6820	385	7	)	)	PUNCT
ejpam-6820	386	1	+	+	CCONJ
ejpam-6820	386	2	∫	∫	X
ejpam-6820	386	3	r	r	NOUN
ejpam-6820	386	4	0	0	NUM
ejpam-6820	386	5	(	(	PUNCT
ejpam-6820	386	6	r	r	NOUN
ejpam-6820	386	7	−	−	PROPN
ejpam-6820	386	8	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	386	9	,	,	PUNCT
ejpam-6820	386	10	m(r	m(r	PROPN
ejpam-6820	386	11	−	−	PROPN
ejpam-6820	387	1	q)[v	q)[v	PROPN
ejpam-6820	387	2	(	(	PUNCT
ejpam-6820	387	3	q	q	NOUN
ejpam-6820	387	4	,	,	PUNCT
ejpam-6820	387	5	a(q))]dq	a(q))]dq	PROPN
ejpam-6820	387	6	+	+	CCONJ
ejpam-6820	387	7	∫	∫	PROPN
ejpam-6820	387	8	r	r	NOUN
ejpam-6820	387	9	0	0	NUM
ejpam-6820	388	1	(	(	PUNCT
ejpam-6820	388	2	r	r	NOUN
ejpam-6820	388	3	−	−	PROPN
ejpam-6820	388	4	q)m−1pm	q)m−1pm	NOUN
ejpam-6820	388	5	,	,	PUNCT
ejpam-6820	388	6	m(r	m(r	NOUN
ejpam-6820	388	7	−	−	PROPN
ejpam-6820	388	8	q)h(q	q)h(q	NOUN
ejpam-6820	388	9	,	,	PUNCT
ejpam-6820	388	10	a(q))dξ(q	a(q))dξ(q	NOUN
ejpam-6820	388	11	)	)	PUNCT
ejpam-6820	388	12	for	for	ADP
ejpam-6820	388	13	r	r	PROPN
ejpam-6820	388	14	∈	∈	PROPN
ejpam-6820	388	15	(	(	PUNCT
ejpam-6820	388	16	rt	rt	PROPN
ejpam-6820	388	17	,	,	PUNCT
ejpam-6820	388	18	rt	rt	PROPN
ejpam-6820	388	19	+	+	NOUN
ejpam-6820	388	20	1	1	NUM
ejpam-6820	388	21	]	]	PUNCT
ejpam-6820	388	22	,	,	PUNCT
ejpam-6820	388	23	t	t	PROPN
ejpam-6820	388	24	=	=	SYM
ejpam-6820	388	25	1	1	NUM
ejpam-6820	388	26	,	,	PUNCT
ejpam-6820	388	27	2	2	NUM
ejpam-6820	388	28	,	,	PUNCT
ejpam-6820	388	29	3	3	NUM
ejpam-6820	388	30	,	,	PUNCT
ejpam-6820	388	31	...	...	PUNCT
ejpam-6820	388	32	,	,	PUNCT
ejpam-6820	388	33	s	s	AUX
ejpam-6820	388	34	we	we	PRON
ejpam-6820	388	35	omit	omit	VERB
ejpam-6820	388	36	the	the	DET
ejpam-6820	388	37	proof	proof	NOUN
ejpam-6820	388	38	.	.	PUNCT
ejpam-6820	389	1	since	since	SCONJ
ejpam-6820	389	2	we	we	PRON
ejpam-6820	389	3	have	have	VERB
ejpam-6820	389	4	enough	enough	ADJ
ejpam-6820	389	5	to	to	PART
ejpam-6820	389	6	prove	prove	VERB
ejpam-6820	389	7	ω	ω	PROPN
ejpam-6820	389	8	is	be	AUX
ejpam-6820	389	9	a	a	DET
ejpam-6820	389	10	contraction	contraction	NOUN
ejpam-6820	389	11	mapping	mapping	NOUN
ejpam-6820	389	12	,	,	PUNCT
ejpam-6820	389	13	and	and	CCONJ
ejpam-6820	389	14	this	this	DET
ejpam-6820	389	15	proof	proof	NOUN
ejpam-6820	389	16	is	be	AUX
ejpam-6820	389	17	similar	similar	ADJ
ejpam-6820	389	18	to	to	ADP
ejpam-6820	389	19	the	the	DET
ejpam-6820	389	20	proof	proof	NOUN
ejpam-6820	389	21	in	in	ADP
ejpam-6820	389	22	the	the	DET
ejpam-6820	389	23	theorem	theorem	NOUN
ejpam-6820	389	24	(	(	PUNCT
ejpam-6820	389	25	2	2	NUM
ejpam-6820	389	26	)	)	PUNCT
ejpam-6820	389	27	.	.	PUNCT
ejpam-6820	390	1	5.1	5.1	NUM
ejpam-6820	390	2	.	.	PUNCT
ejpam-6820	391	1	examples	example	NOUN
ejpam-6820	391	2	example	example	VERB
ejpam-6820	392	1	3	3	X
ejpam-6820	392	2	.	.	PUNCT
ejpam-6820	393	1	stochastic	stochastic	ADJ
ejpam-6820	393	2	stability	stability	NOUN
ejpam-6820	393	3	in	in	ADP
ejpam-6820	393	4	impulsive	impulsive	ADJ
ejpam-6820	393	5	fractional	fractional	ADJ
ejpam-6820	393	6	stochastic	stochastic	ADJ
ejpam-6820	393	7	differential	differential	NOUN
ejpam-6820	393	8	equations	equation	NOUN
ejpam-6820	393	9	can	can	AUX
ejpam-6820	393	10	be	be	AUX
ejpam-6820	393	11	illustrated	illustrate	VERB
ejpam-6820	393	12	with	with	ADP
ejpam-6820	393	13	a	a	DET
ejpam-6820	393	14	real	real	ADJ
ejpam-6820	393	15	-	-	PUNCT
ejpam-6820	393	16	life	life	NOUN
ejpam-6820	393	17	example	example	NOUN
ejpam-6820	393	18	involving	involve	VERB
ejpam-6820	393	19	a	a	DET
ejpam-6820	393	20	financial	financial	ADJ
ejpam-6820	393	21	model	model	NOUN
ejpam-6820	393	22	.	.	PUNCT
ejpam-6820	394	1	consider	consider	VERB
ejpam-6820	394	2	a	a	DET
ejpam-6820	394	3	scenario	scenario	NOUN
ejpam-6820	394	4	where	where	SCONJ
ejpam-6820	394	5	an	an	DET
ejpam-6820	394	6	investor	investor	NOUN
ejpam-6820	394	7	is	be	AUX
ejpam-6820	394	8	managing	manage	VERB
ejpam-6820	394	9	a	a	DET
ejpam-6820	394	10	portfolio	portfolio	NOUN
ejpam-6820	394	11	of	of	ADP
ejpam-6820	394	12	stocks	stock	NOUN
ejpam-6820	394	13	,	,	PUNCT
ejpam-6820	394	14	and	and	CCONJ
ejpam-6820	394	15	they	they	PRON
ejpam-6820	394	16	are	be	AUX
ejpam-6820	394	17	employing	employ	VERB
ejpam-6820	394	18	a	a	DET
ejpam-6820	394	19	trading	trading	NOUN
ejpam-6820	394	20	strategy	strategy	NOUN
ejpam-6820	394	21	that	that	PRON
ejpam-6820	394	22	involves	involve	VERB
ejpam-6820	394	23	making	make	VERB
ejpam-6820	394	24	periodic	periodic	ADJ
ejpam-6820	394	25	decisions	decision	NOUN
ejpam-6820	394	26	based	base	VERB
ejpam-6820	394	27	on	on	ADP
ejpam-6820	394	28	market	market	NOUN
ejpam-6820	394	29	conditions	condition	NOUN
ejpam-6820	394	30	.	.	PUNCT
ejpam-6820	395	1	the	the	DET
ejpam-6820	395	2	investor	investor	NOUN
ejpam-6820	395	3	’s	’s	PART
ejpam-6820	395	4	goal	goal	NOUN
ejpam-6820	395	5	is	be	AUX
ejpam-6820	395	6	to	to	PART
ejpam-6820	395	7	achieve	achieve	VERB
ejpam-6820	395	8	stability	stability	NOUN
ejpam-6820	395	9	in	in	ADP
ejpam-6820	395	10	their	their	PRON
ejpam-6820	395	11	portfolio	portfolio	NOUN
ejpam-6820	395	12	returns	return	NOUN
ejpam-6820	395	13	despite	despite	SCONJ
ejpam-6820	395	14	the	the	DET
ejpam-6820	395	15	inherent	inherent	ADJ
ejpam-6820	395	16	uncertainty	uncertainty	NOUN
ejpam-6820	395	17	and	and	CCONJ
ejpam-6820	395	18	randomness	randomness	NOUN
ejpam-6820	395	19	in	in	ADP
ejpam-6820	395	20	the	the	DET
ejpam-6820	395	21	financial	financial	ADJ
ejpam-6820	395	22	markets	market	NOUN
ejpam-6820	395	23	.	.	PUNCT
ejpam-6820	396	1	let	let	VERB
ejpam-6820	396	2	’s	’s	NOUN
ejpam-6820	396	3	model	model	VERB
ejpam-6820	396	4	this	this	DET
ejpam-6820	396	5	scenario	scenario	NOUN
ejpam-6820	396	6	using	use	VERB
ejpam-6820	396	7	an	an	DET
ejpam-6820	396	8	impulsive	impulsive	ADJ
ejpam-6820	396	9	fractional	fractional	ADJ
ejpam-6820	396	10	stochastic	stochastic	ADJ
ejpam-6820	396	11	differential	differential	NOUN
ejpam-6820	396	12	equation	equation	NOUN
ejpam-6820	396	13	(	(	PUNCT
ejpam-6820	396	14	sfde	sfde	NOUN
ejpam-6820	396	15	)	)	PUNCT
ejpam-6820	396	16	to	to	PART
ejpam-6820	396	17	represent	represent	VERB
ejpam-6820	396	18	the	the	DET
ejpam-6820	396	19	investor	investor	NOUN
ejpam-6820	396	20	’s	’s	PART
ejpam-6820	396	21	portfolio	portfolio	NOUN
ejpam-6820	396	22	value	value	NOUN
ejpam-6820	396	23	.	.	PUNCT
ejpam-6820	397	1	evaluate	evaluate	VERB
ejpam-6820	397	2	the	the	DET
ejpam-6820	397	3	following	follow	VERB
ejpam-6820	397	4	system	system	NOUN
ejpam-6820	397	5	cdma(r	cdma(r	PROPN
ejpam-6820	397	6	)	)	PUNCT
ejpam-6820	398	1	+	+	CCONJ
ejpam-6820	399	1	x∑	x∑	X
ejpam-6820	399	2	g=1	g=1	PROPN
ejpam-6820	399	3	ug	ug	ADP
ejpam-6820	399	4	cdnga(r	cdnga(r	NOUN
ejpam-6820	399	5	)	)	PUNCT
ejpam-6820	399	6	=	=	SYM
ejpam-6820	399	7	ka(r	ka(r	NOUN
ejpam-6820	399	8	)	)	PUNCT
ejpam-6820	400	1	+	+	CCONJ
ejpam-6820	400	2	v	v	X
ejpam-6820	400	3	(	(	PUNCT
ejpam-6820	400	4	r	r	NOUN
ejpam-6820	400	5	,	,	PUNCT
ejpam-6820	400	6	a(r	a(r	NOUN
ejpam-6820	400	7	)	)	PUNCT
ejpam-6820	400	8	)	)	PUNCT
ejpam-6820	401	1	+	+	ADP
ejpam-6820	401	2	h(r	h(r	ADJ
ejpam-6820	401	3	,	,	PUNCT
ejpam-6820	401	4	a(r))dξ(r	a(r))dξ(r	PROPN
ejpam-6820	401	5	)	)	PUNCT
ejpam-6820	401	6	,	,	PUNCT
ejpam-6820	401	7	(	(	PUNCT
ejpam-6820	401	8	17	17	X
ejpam-6820	401	9	)	)	PUNCT
ejpam-6820	401	10	r	r	NOUN
ejpam-6820	401	11	∈	∈	NOUN
ejpam-6820	401	12	i	i	NOUN
ejpam-6820	401	13	=	=	SYM
ejpam-6820	401	14	(	(	PUNCT
ejpam-6820	401	15	0	0	NUM
ejpam-6820	401	16	,	,	PUNCT
ejpam-6820	401	17	5	5	NUM
ejpam-6820	401	18	]	]	SYM
ejpam-6820	401	19	r	r	NOUN
ejpam-6820	401	20	6=	6=	PROPN
ejpam-6820	401	21	rt	rt	PROPN
ejpam-6820	401	22	,	,	PUNCT
ejpam-6820	401	23	∆a(rt	∆a(rt	NOUN
ejpam-6820	401	24	)	)	PUNCT
ejpam-6820	401	25	=	=	SYM
ejpam-6820	401	26	jt(a(r	jt(a(r	NOUN
ejpam-6820	401	27	−	−	PROPN
ejpam-6820	401	28	t	t	PROPN
ejpam-6820	401	29	)	)	PUNCT
ejpam-6820	401	30	)	)	PUNCT
ejpam-6820	401	31	,	,	PUNCT
ejpam-6820	401	32	t	t	NOUN
ejpam-6820	401	33	=	=	SYM
ejpam-6820	401	34	1	1	NUM
ejpam-6820	401	35	,	,	PUNCT
ejpam-6820	401	36	2	2	NUM
ejpam-6820	401	37	,	,	PUNCT
ejpam-6820	401	38	...	...	PUNCT
ejpam-6820	401	39	,	,	PUNCT
ejpam-6820	401	40	7	7	NUM
ejpam-6820	401	41	,	,	PUNCT
ejpam-6820	401	42	a′(0	a′(0	PRON
ejpam-6820	401	43	)	)	PUNCT
ejpam-6820	401	44	=	=	SYM
ejpam-6820	401	45	δ	δ	PROPN
ejpam-6820	401	46	m.	m.	NOUN
ejpam-6820	401	47	lavanya	lavanya	NOUN
ejpam-6820	401	48	et	et	PROPN
ejpam-6820	401	49	al	al	PROPN
ejpam-6820	401	50	.	.	PUNCT
ejpam-6820	401	51	/	/	SYM
ejpam-6820	401	52	eur	eur	PROPN
ejpam-6820	401	53	.	.	PUNCT
ejpam-6820	402	1	j.	j.	PROPN
ejpam-6820	402	2	pure	pure	PROPN
ejpam-6820	402	3	appl	appl	PROPN
ejpam-6820	402	4	.	.	PROPN
ejpam-6820	402	5	math	math	PROPN
ejpam-6820	402	6	,	,	PUNCT
ejpam-6820	402	7	18	18	NUM
ejpam-6820	402	8	(	(	PUNCT
ejpam-6820	402	9	4	4	NUM
ejpam-6820	402	10	)	)	PUNCT
ejpam-6820	402	11	(	(	PUNCT
ejpam-6820	402	12	2025	2025	NUM
ejpam-6820	402	13	)	)	PUNCT
ejpam-6820	402	14	,	,	PUNCT
ejpam-6820	402	15	6820	6820	NUM
ejpam-6820	402	16	16	16	NUM
ejpam-6820	402	17	of	of	ADP
ejpam-6820	402	18	20	20	NUM
ejpam-6820	402	19	figure	figure	NOUN
ejpam-6820	402	20	4	4	NUM
ejpam-6820	402	21	:	:	PUNCT
ejpam-6820	402	22	solution	solution	NOUN
ejpam-6820	402	23	of	of	ADP
ejpam-6820	402	24	the	the	DET
ejpam-6820	402	25	system	system	NOUN
ejpam-6820	402	26	(	(	PUNCT
ejpam-6820	402	27	17	17	NUM
ejpam-6820	402	28	)	)	PUNCT
ejpam-6820	402	29	on	on	ADP
ejpam-6820	402	30	[	[	X
ejpam-6820	402	31	0	0	NUM
ejpam-6820	402	32	,	,	PUNCT
ejpam-6820	402	33	5	5	NUM
ejpam-6820	402	34	]	]	PUNCT
ejpam-6820	402	35	for	for	ADP
ejpam-6820	402	36	m	m	PROPN
ejpam-6820	402	37	=	=	NOUN
ejpam-6820	402	38	1.5	1.5	NUM
ejpam-6820	402	39	,	,	PUNCT
ejpam-6820	402	40	k	k	X
ejpam-6820	402	41	=	=	PUNCT
ejpam-6820	402	42	−0.0834	−0.0834	PROPN
ejpam-6820	402	43	.	.	PUNCT
ejpam-6820	403	1	figure	figure	VERB
ejpam-6820	403	2	5	5	NUM
ejpam-6820	403	3	:	:	PUNCT
ejpam-6820	403	4	solution	solution	NOUN
ejpam-6820	403	5	of	of	ADP
ejpam-6820	403	6	the	the	DET
ejpam-6820	403	7	system	system	NOUN
ejpam-6820	403	8	(	(	PUNCT
ejpam-6820	403	9	17	17	NUM
ejpam-6820	403	10	)	)	PUNCT
ejpam-6820	403	11	on	on	ADP
ejpam-6820	403	12	[	[	X
ejpam-6820	403	13	0	0	NUM
ejpam-6820	403	14	,	,	PUNCT
ejpam-6820	403	15	5	5	NUM
ejpam-6820	403	16	]	]	PUNCT
ejpam-6820	403	17	for	for	ADP
ejpam-6820	403	18	m	m	PROPN
ejpam-6820	403	19	=	=	NOUN
ejpam-6820	403	20	1.9	1.9	NUM
ejpam-6820	403	21	,	,	PUNCT
ejpam-6820	403	22	k	k	NOUN
ejpam-6820	404	1	=	=	SYM
ejpam-6820	404	2	−0.0632	−0.0632	PROPN
ejpam-6820	404	3	.	.	PUNCT
ejpam-6820	405	1	m.	m.	NOUN
ejpam-6820	405	2	lavanya	lavanya	PROPN
ejpam-6820	405	3	et	et	PROPN
ejpam-6820	405	4	al	al	PROPN
ejpam-6820	405	5	.	.	PUNCT
ejpam-6820	405	6	/	/	SYM
ejpam-6820	405	7	eur	eur	PROPN
ejpam-6820	405	8	.	.	PUNCT
ejpam-6820	406	1	j.	j.	PROPN
ejpam-6820	406	2	pure	pure	PROPN
ejpam-6820	406	3	appl	appl	PROPN
ejpam-6820	406	4	.	.	PROPN
ejpam-6820	406	5	math	math	PROPN
ejpam-6820	406	6	,	,	PUNCT
ejpam-6820	406	7	18	18	NUM
ejpam-6820	406	8	(	(	PUNCT
ejpam-6820	406	9	4	4	NUM
ejpam-6820	406	10	)	)	PUNCT
ejpam-6820	406	11	(	(	PUNCT
ejpam-6820	406	12	2025	2025	NUM
ejpam-6820	406	13	)	)	PUNCT
ejpam-6820	406	14	,	,	PUNCT
ejpam-6820	406	15	6820	6820	NUM
ejpam-6820	406	16	17	17	NUM
ejpam-6820	406	17	of	of	ADP
ejpam-6820	406	18	20	20	NUM
ejpam-6820	406	19	figure	figure	NOUN
ejpam-6820	406	20	6	6	NUM
ejpam-6820	406	21	:	:	PUNCT
ejpam-6820	406	22	solution	solution	NOUN
ejpam-6820	406	23	of	of	ADP
ejpam-6820	406	24	the	the	DET
ejpam-6820	406	25	system	system	NOUN
ejpam-6820	406	26	(	(	PUNCT
ejpam-6820	406	27	17	17	NUM
ejpam-6820	406	28	)	)	PUNCT
ejpam-6820	406	29	on	on	ADP
ejpam-6820	406	30	[	[	X
ejpam-6820	406	31	0	0	NUM
ejpam-6820	406	32	,	,	PUNCT
ejpam-6820	406	33	5	5	NUM
ejpam-6820	406	34	]	]	PUNCT
ejpam-6820	406	35	for	for	ADP
ejpam-6820	406	36	m	m	PROPN
ejpam-6820	406	37	=	=	NOUN
ejpam-6820	406	38	1.2	1.2	NUM
ejpam-6820	406	39	,	,	PUNCT
ejpam-6820	406	40	k	k	NOUN
ejpam-6820	406	41	=	=	SYM
ejpam-6820	406	42	−0.0543	−0.0543	PROPN
ejpam-6820	406	43	.	.	PUNCT
ejpam-6820	407	1	in	in	ADP
ejpam-6820	407	2	this	this	DET
ejpam-6820	407	3	financial	financial	ADJ
ejpam-6820	407	4	model	model	NOUN
ejpam-6820	407	5	:	:	PUNCT
ejpam-6820	407	6	1	1	X
ejpam-6820	407	7	.	.	PUNCT
ejpam-6820	407	8	stochastic	stochastic	ADJ
ejpam-6820	407	9	component	component	NOUN
ejpam-6820	407	10	:	:	PUNCT
ejpam-6820	407	11	the	the	DET
ejpam-6820	407	12	continuous	continuous	ADJ
ejpam-6820	407	13	stochastic	stochastic	NOUN
ejpam-6820	407	14	processes	process	NOUN
ejpam-6820	407	15	involved	involve	VERB
ejpam-6820	407	16	in	in	ADP
ejpam-6820	407	17	the	the	DET
ejpam-6820	407	18	portfolio	portfolio	NOUN
ejpam-6820	407	19	’s	’s	PART
ejpam-6820	407	20	growth	growth	NOUN
ejpam-6820	407	21	.	.	PUNCT
ejpam-6820	408	1	the	the	DET
ejpam-6820	408	2	investor	investor	NOUN
ejpam-6820	408	3	’s	’s	PART
ejpam-6820	408	4	portfolio	portfolio	NOUN
ejpam-6820	408	5	value	value	NOUN
ejpam-6820	408	6	is	be	AUX
ejpam-6820	408	7	subject	subject	ADJ
ejpam-6820	408	8	to	to	ADP
ejpam-6820	408	9	random	random	ADJ
ejpam-6820	408	10	market	market	NOUN
ejpam-6820	408	11	fluctuations	fluctuation	NOUN
ejpam-6820	408	12	(	(	PUNCT
ejpam-6820	408	13	modeled	model	VERB
ejpam-6820	408	14	by	by	ADP
ejpam-6820	408	15	dξ(r	dξ(r	NOUN
ejpam-6820	408	16	)	)	PUNCT
ejpam-6820	408	17	)	)	PUNCT
ejpam-6820	408	18	.	.	PUNCT
ejpam-6820	409	1	2	2	X
ejpam-6820	409	2	.	.	X
ejpam-6820	409	3	impulsive	impulsive	ADJ
ejpam-6820	409	4	component	component	NOUN
ejpam-6820	409	5	:	:	PUNCT
ejpam-6820	409	6	the	the	DET
ejpam-6820	409	7	impulsive	impulsive	ADJ
ejpam-6820	409	8	trading	trading	NOUN
ejpam-6820	409	9	decisions	decision	NOUN
ejpam-6820	409	10	made	make	VERB
ejpam-6820	409	11	by	by	ADP
ejpam-6820	409	12	the	the	DET
ejpam-6820	409	13	investor	investor	NOUN
ejpam-6820	409	14	.	.	PUNCT
ejpam-6820	410	1	stochastic	stochastic	ADJ
ejpam-6820	410	2	stability	stability	NOUN
ejpam-6820	410	3	in	in	ADP
ejpam-6820	410	4	this	this	DET
ejpam-6820	410	5	context	context	NOUN
ejpam-6820	410	6	means	mean	VERB
ejpam-6820	410	7	that	that	SCONJ
ejpam-6820	410	8	,	,	PUNCT
ejpam-6820	410	9	over	over	ADP
ejpam-6820	410	10	time	time	NOUN
ejpam-6820	410	11	,	,	PUNCT
ejpam-6820	410	12	despite	despite	SCONJ
ejpam-6820	410	13	the	the	DET
ejpam-6820	410	14	investor	investor	NOUN
ejpam-6820	410	15	’s	’s	PART
ejpam-6820	410	16	trading	trading	NOUN
ejpam-6820	410	17	decisions	decision	NOUN
ejpam-6820	410	18	and	and	CCONJ
ejpam-6820	410	19	the	the	DET
ejpam-6820	410	20	inherent	inherent	ADJ
ejpam-6820	410	21	randomness	randomness	NOUN
ejpam-6820	410	22	in	in	ADP
ejpam-6820	410	23	the	the	DET
ejpam-6820	410	24	financial	financial	ADJ
ejpam-6820	410	25	markets	market	NOUN
ejpam-6820	410	26	,	,	PUNCT
ejpam-6820	410	27	the	the	DET
ejpam-6820	410	28	portfolio	portfolio	NOUN
ejpam-6820	410	29	value	value	NOUN
ejpam-6820	410	30	tends	tend	VERB
ejpam-6820	410	31	to	to	PART
ejpam-6820	410	32	remain	remain	VERB
ejpam-6820	410	33	within	within	ADP
ejpam-6820	410	34	a	a	DET
ejpam-6820	410	35	certain	certain	ADJ
ejpam-6820	410	36	bounded	bounded	ADJ
ejpam-6820	410	37	region	region	NOUN
ejpam-6820	410	38	.	.	PUNCT
ejpam-6820	411	1	this	this	DET
ejpam-6820	411	2	stability	stability	NOUN
ejpam-6820	411	3	is	be	AUX
ejpam-6820	411	4	crucial	crucial	ADJ
ejpam-6820	411	5	for	for	ADP
ejpam-6820	411	6	the	the	DET
ejpam-6820	411	7	investor	investor	NOUN
ejpam-6820	411	8	’s	’s	PART
ejpam-6820	411	9	financial	financial	ADJ
ejpam-6820	411	10	well	well	NOUN
ejpam-6820	411	11	-	-	PUNCT
ejpam-6820	411	12	being	being	NOUN
ejpam-6820	411	13	and	and	CCONJ
ejpam-6820	411	14	long	long	ADJ
ejpam-6820	411	15	-	-	PUNCT
ejpam-6820	411	16	term	term	NOUN
ejpam-6820	411	17	success	success	NOUN
ejpam-6820	411	18	.	.	PUNCT
ejpam-6820	412	1	the	the	DET
ejpam-6820	412	2	goal	goal	NOUN
ejpam-6820	412	3	is	be	AUX
ejpam-6820	412	4	to	to	PART
ejpam-6820	412	5	avoid	avoid	VERB
ejpam-6820	412	6	excessive	excessive	ADJ
ejpam-6820	412	7	volatility	volatility	NOUN
ejpam-6820	412	8	and	and	CCONJ
ejpam-6820	412	9	losses	loss	NOUN
ejpam-6820	412	10	that	that	PRON
ejpam-6820	412	11	could	could	AUX
ejpam-6820	412	12	jeopardize	jeopardize	VERB
ejpam-6820	412	13	the	the	DET
ejpam-6820	412	14	portfolio	portfolio	NOUN
ejpam-6820	412	15	.	.	PUNCT
ejpam-6820	413	1	achieving	achieve	VERB
ejpam-6820	413	2	stochastic	stochastic	ADJ
ejpam-6820	413	3	stability	stability	NOUN
ejpam-6820	413	4	would	would	AUX
ejpam-6820	413	5	mean	mean	VERB
ejpam-6820	413	6	that	that	SCONJ
ejpam-6820	413	7	the	the	DET
ejpam-6820	413	8	investor	investor	NOUN
ejpam-6820	413	9	’s	’s	PART
ejpam-6820	413	10	trading	trading	NOUN
ejpam-6820	413	11	decisions	decision	NOUN
ejpam-6820	413	12	are	be	AUX
ejpam-6820	413	13	well	well	ADV
ejpam-6820	413	14	-	-	PUNCT
ejpam-6820	413	15	balanced	balanced	ADJ
ejpam-6820	413	16	,	,	PUNCT
ejpam-6820	413	17	and	and	CCONJ
ejpam-6820	413	18	the	the	DET
ejpam-6820	413	19	impact	impact	NOUN
ejpam-6820	413	20	of	of	ADP
ejpam-6820	413	21	these	these	DET
ejpam-6820	413	22	decisions	decision	NOUN
ejpam-6820	413	23	,	,	PUNCT
ejpam-6820	413	24	combined	combine	VERB
ejpam-6820	413	25	with	with	ADP
ejpam-6820	413	26	market	market	NOUN
ejpam-6820	413	27	fluctuations	fluctuation	NOUN
ejpam-6820	413	28	,	,	PUNCT
ejpam-6820	413	29	results	result	NOUN
ejpam-6820	413	30	in	in	ADP
ejpam-6820	413	31	a	a	DET
ejpam-6820	413	32	portfolio	portfolio	NOUN
ejpam-6820	413	33	that	that	PRON
ejpam-6820	413	34	grows	grow	VERB
ejpam-6820	413	35	over	over	ADP
ejpam-6820	413	36	time	time	NOUN
ejpam-6820	413	37	or	or	CCONJ
ejpam-6820	413	38	at	at	ADP
ejpam-6820	413	39	least	least	ADJ
ejpam-6820	413	40	remains	remain	VERB
ejpam-6820	413	41	within	within	ADP
ejpam-6820	413	42	acceptable	acceptable	ADJ
ejpam-6820	413	43	risk	risk	NOUN
ejpam-6820	413	44	parameters	parameter	NOUN
ejpam-6820	413	45	.	.	PUNCT
ejpam-6820	414	1	this	this	DET
ejpam-6820	414	2	stability	stability	NOUN
ejpam-6820	414	3	is	be	AUX
ejpam-6820	414	4	a	a	DET
ejpam-6820	414	5	key	key	ADJ
ejpam-6820	414	6	objective	objective	NOUN
ejpam-6820	414	7	in	in	ADP
ejpam-6820	414	8	financial	financial	ADJ
ejpam-6820	414	9	modeling	modeling	NOUN
ejpam-6820	414	10	and	and	CCONJ
ejpam-6820	414	11	decision	decision	NOUN
ejpam-6820	414	12	-	-	PUNCT
ejpam-6820	414	13	making	making	NOUN
ejpam-6820	414	14	,	,	PUNCT
ejpam-6820	414	15	where	where	SCONJ
ejpam-6820	414	16	the	the	DET
ejpam-6820	414	17	balance	balance	NOUN
ejpam-6820	414	18	between	between	ADP
ejpam-6820	414	19	proactive	proactive	ADJ
ejpam-6820	414	20	trading	trading	NOUN
ejpam-6820	414	21	actions	action	NOUN
ejpam-6820	414	22	and	and	CCONJ
ejpam-6820	414	23	risk	risk	NOUN
ejpam-6820	414	24	management	management	NOUN
ejpam-6820	414	25	is	be	AUX
ejpam-6820	414	26	critical	critical	ADJ
ejpam-6820	414	27	.	.	PUNCT
ejpam-6820	415	1	example	example	NOUN
ejpam-6820	416	1	4	4	NUM
ejpam-6820	416	2	.	.	PUNCT
ejpam-6820	417	1	stochastic	stochastic	ADJ
ejpam-6820	417	2	stability	stability	NOUN
ejpam-6820	417	3	in	in	ADP
ejpam-6820	417	4	impulsive	impulsive	ADJ
ejpam-6820	417	5	fractional	fractional	ADJ
ejpam-6820	417	6	stochastic	stochastic	ADJ
ejpam-6820	417	7	differential	differential	ADJ
ejpam-6820	417	8	equations	equation	NOUN
ejpam-6820	417	9	(	(	PUNCT
ejpam-6820	417	10	if	if	SCONJ
ejpam-6820	417	11	-	-	PUNCT
ejpam-6820	417	12	sdes	sde	NOUN
ejpam-6820	417	13	)	)	PUNCT
ejpam-6820	417	14	can	can	AUX
ejpam-6820	417	15	be	be	AUX
ejpam-6820	417	16	illustrated	illustrate	VERB
ejpam-6820	417	17	with	with	ADP
ejpam-6820	417	18	the	the	DET
ejpam-6820	417	19	example	example	NOUN
ejpam-6820	417	20	of	of	ADP
ejpam-6820	417	21	a	a	DET
ejpam-6820	417	22	bouncing	bounce	VERB
ejpam-6820	417	23	ball	ball	NOUN
ejpam-6820	417	24	,	,	PUNCT
ejpam-6820	417	25	which	which	PRON
ejpam-6820	417	26	incorporates	incorporate	VERB
ejpam-6820	417	27	both	both	CCONJ
ejpam-6820	417	28	impulsive	impulsive	ADJ
ejpam-6820	417	29	events	event	NOUN
ejpam-6820	417	30	and	and	CCONJ
ejpam-6820	417	31	stochastic	stochastic	ADJ
ejpam-6820	417	32	dynamics	dynamic	NOUN
ejpam-6820	417	33	.	.	PUNCT
ejpam-6820	418	1	this	this	DET
ejpam-6820	418	2	example	example	NOUN
ejpam-6820	418	3	demonstrates	demonstrate	VERB
ejpam-6820	418	4	how	how	SCONJ
ejpam-6820	418	5	stochastic	stochastic	ADJ
ejpam-6820	418	6	stability	stability	NOUN
ejpam-6820	418	7	analysis	analysis	NOUN
ejpam-6820	418	8	can	can	AUX
ejpam-6820	418	9	be	be	AUX
ejpam-6820	418	10	applied	apply	VERB
ejpam-6820	418	11	to	to	ADP
ejpam-6820	418	12	real	real	ADJ
ejpam-6820	418	13	-	-	PUNCT
ejpam-6820	418	14	world	world	NOUN
ejpam-6820	418	15	physics	physics	NOUN
ejpam-6820	418	16	problems	problem	NOUN
ejpam-6820	418	17	.	.	PUNCT
ejpam-6820	419	1	consider	consider	VERB
ejpam-6820	419	2	a	a	DET
ejpam-6820	419	3	ball	ball	NOUN
ejpam-6820	419	4	dropped	drop	VERB
ejpam-6820	419	5	from	from	ADP
ejpam-6820	419	6	a	a	DET
ejpam-6820	419	7	certain	certain	ADJ
ejpam-6820	419	8	height	height	NOUN
ejpam-6820	419	9	above	above	ADP
ejpam-6820	419	10	the	the	DET
ejpam-6820	419	11	ground	ground	NOUN
ejpam-6820	419	12	.	.	PUNCT
ejpam-6820	420	1	the	the	DET
ejpam-6820	420	2	ball	ball	NOUN
ejpam-6820	420	3	experiences	experience	VERB
ejpam-6820	420	4	random	random	ADJ
ejpam-6820	420	5	air	air	NOUN
ejpam-6820	420	6	resistance	resistance	NOUN
ejpam-6820	420	7	,	,	PUNCT
ejpam-6820	420	8	which	which	PRON
ejpam-6820	420	9	is	be	AUX
ejpam-6820	420	10	modeled	model	VERB
ejpam-6820	420	11	as	as	ADP
ejpam-6820	420	12	a	a	DET
ejpam-6820	420	13	stochastic	stochastic	ADJ
ejpam-6820	420	14	process	process	NOUN
ejpam-6820	420	15	due	due	ADP
ejpam-6820	420	16	to	to	ADP
ejpam-6820	420	17	the	the	DET
ejpam-6820	420	18	turbulent	turbulent	ADJ
ejpam-6820	420	19	nature	nature	NOUN
ejpam-6820	420	20	of	of	ADP
ejpam-6820	420	21	the	the	DET
ejpam-6820	420	22	surrounding	surround	VERB
ejpam-6820	420	23	air	air	NOUN
ejpam-6820	420	24	.	.	PUNCT
ejpam-6820	421	1	additionally	additionally	ADV
ejpam-6820	421	2	,	,	PUNCT
ejpam-6820	421	3	the	the	DET
ejpam-6820	421	4	ball	ball	NOUN
ejpam-6820	421	5	undergoes	undergo	VERB
ejpam-6820	421	6	impulsive	impulsive	ADJ
ejpam-6820	421	7	collisions	collision	NOUN
ejpam-6820	421	8	with	with	ADP
ejpam-6820	421	9	the	the	DET
ejpam-6820	421	10	ground	ground	NOUN
ejpam-6820	421	11	when	when	SCONJ
ejpam-6820	421	12	it	it	PRON
ejpam-6820	421	13	bounces	bounce	VERB
ejpam-6820	421	14	back	back	ADV
ejpam-6820	421	15	up	up	ADV
ejpam-6820	421	16	.	.	PUNCT
ejpam-6820	422	1	the	the	DET
ejpam-6820	422	2	motion	motion	NOUN
ejpam-6820	422	3	of	of	ADP
ejpam-6820	422	4	the	the	DET
ejpam-6820	422	5	ball	ball	NOUN
ejpam-6820	422	6	can	can	AUX
ejpam-6820	422	7	be	be	AUX
ejpam-6820	422	8	described	describe	VERB
ejpam-6820	422	9	by	by	ADP
ejpam-6820	422	10	an	an	DET
ejpam-6820	422	11	if	if	PROPN
ejpam-6820	422	12	-	-	PUNCT
ejpam-6820	422	13	sde	sde	NOUN
ejpam-6820	422	14	.	.	PUNCT
ejpam-6820	422	15	m.	m.	PROPN
ejpam-6820	422	16	lavanya	lavanya	PROPN
ejpam-6820	422	17	et	et	PROPN
ejpam-6820	422	18	al	al	PROPN
ejpam-6820	422	19	.	.	PUNCT
ejpam-6820	422	20	/	/	SYM
ejpam-6820	422	21	eur	eur	PROPN
ejpam-6820	422	22	.	.	PUNCT
ejpam-6820	423	1	j.	j.	PROPN
ejpam-6820	423	2	pure	pure	PROPN
ejpam-6820	423	3	appl	appl	PROPN
ejpam-6820	423	4	.	.	PROPN
ejpam-6820	423	5	math	math	PROPN
ejpam-6820	423	6	,	,	PUNCT
ejpam-6820	423	7	18	18	NUM
ejpam-6820	423	8	(	(	PUNCT
ejpam-6820	423	9	4	4	NUM
ejpam-6820	423	10	)	)	PUNCT
ejpam-6820	423	11	(	(	PUNCT
ejpam-6820	423	12	2025	2025	NUM
ejpam-6820	423	13	)	)	PUNCT
ejpam-6820	423	14	,	,	PUNCT
ejpam-6820	423	15	6820	6820	NUM
ejpam-6820	423	16	18	18	NUM
ejpam-6820	423	17	of	of	ADP
ejpam-6820	423	18	20	20	NUM
ejpam-6820	423	19	the	the	DET
ejpam-6820	423	20	if	if	NOUN
ejpam-6820	423	21	-	-	PUNCT
ejpam-6820	423	22	sde	sde	NOUN
ejpam-6820	423	23	for	for	ADP
ejpam-6820	423	24	the	the	DET
ejpam-6820	423	25	vertical	vertical	ADJ
ejpam-6820	423	26	position	position	NOUN
ejpam-6820	423	27	of	of	ADP
ejpam-6820	423	28	the	the	DET
ejpam-6820	423	29	ball	ball	NOUN
ejpam-6820	423	30	could	could	AUX
ejpam-6820	423	31	be	be	AUX
ejpam-6820	423	32	represented	represent	VERB
ejpam-6820	423	33	as	as	SCONJ
ejpam-6820	423	34	follows	follow	VERB
ejpam-6820	423	35	:	:	PUNCT
ejpam-6820	423	36	cdma(r	cdma(r	NOUN
ejpam-6820	423	37	)	)	PUNCT
ejpam-6820	424	1	+	+	CCONJ
ejpam-6820	425	1	x∑	x∑	X
ejpam-6820	425	2	g=1	g=1	PROPN
ejpam-6820	425	3	ug	ug	ADP
ejpam-6820	425	4	cdnga(r	cdnga(r	NOUN
ejpam-6820	425	5	)	)	PUNCT
ejpam-6820	425	6	=	=	SYM
ejpam-6820	425	7	ka(r	ka(r	NOUN
ejpam-6820	425	8	)	)	PUNCT
ejpam-6820	426	1	+	+	CCONJ
ejpam-6820	426	2	v	v	X
ejpam-6820	426	3	(	(	PUNCT
ejpam-6820	426	4	r	r	NOUN
ejpam-6820	426	5	,	,	PUNCT
ejpam-6820	426	6	a(r	a(r	NOUN
ejpam-6820	426	7	)	)	PUNCT
ejpam-6820	426	8	)	)	PUNCT
ejpam-6820	427	1	+	+	ADP
ejpam-6820	427	2	h(r	h(r	ADJ
ejpam-6820	427	3	,	,	PUNCT
ejpam-6820	427	4	a(r))dξ(r	a(r))dξ(r	PROPN
ejpam-6820	427	5	)	)	PUNCT
ejpam-6820	427	6	,	,	PUNCT
ejpam-6820	427	7	(	(	PUNCT
ejpam-6820	427	8	18	18	NUM
ejpam-6820	427	9	)	)	PUNCT
ejpam-6820	427	10	r	r	NOUN
ejpam-6820	427	11	∈	∈	NOUN
ejpam-6820	427	12	i	i	NOUN
ejpam-6820	427	13	=	=	SYM
ejpam-6820	427	14	(	(	PUNCT
ejpam-6820	427	15	0	0	NUM
ejpam-6820	427	16	,	,	PUNCT
ejpam-6820	427	17	10	10	NUM
ejpam-6820	427	18	]	]	X
ejpam-6820	427	19	r	r	PROPN
ejpam-6820	427	20	6=	6=	PROPN
ejpam-6820	427	21	rt	rt	PROPN
ejpam-6820	427	22	,	,	PUNCT
ejpam-6820	427	23	∆a(rt	∆a(rt	NOUN
ejpam-6820	427	24	)	)	PUNCT
ejpam-6820	427	25	=	=	SYM
ejpam-6820	427	26	jt(a(r	jt(a(r	NOUN
ejpam-6820	427	27	−	−	PROPN
ejpam-6820	427	28	t	t	PROPN
ejpam-6820	427	29	)	)	PUNCT
ejpam-6820	427	30	)	)	PUNCT
ejpam-6820	427	31	,	,	PUNCT
ejpam-6820	427	32	t	t	NOUN
ejpam-6820	427	33	=	=	SYM
ejpam-6820	427	34	1	1	NUM
ejpam-6820	427	35	,	,	PUNCT
ejpam-6820	427	36	2	2	NUM
ejpam-6820	427	37	,	,	PUNCT
ejpam-6820	427	38	...	...	PUNCT
ejpam-6820	427	39	,	,	PUNCT
ejpam-6820	427	40	9	9	NUM
ejpam-6820	427	41	,	,	PUNCT
ejpam-6820	427	42	a′(0	a′(0	ADJ
ejpam-6820	427	43	)	)	PUNCT
ejpam-6820	427	44	=	=	SYM
ejpam-6820	427	45	δ	δ	PROPN
ejpam-6820	427	46	figure	figure	VERB
ejpam-6820	427	47	7	7	NUM
ejpam-6820	427	48	:	:	PUNCT
ejpam-6820	427	49	solution	solution	NOUN
ejpam-6820	427	50	of	of	ADP
ejpam-6820	427	51	the	the	DET
ejpam-6820	427	52	system	system	NOUN
ejpam-6820	427	53	(	(	PUNCT
ejpam-6820	427	54	18	18	NUM
ejpam-6820	427	55	)	)	PUNCT
ejpam-6820	427	56	on	on	ADP
ejpam-6820	427	57	[	[	X
ejpam-6820	427	58	0	0	NUM
ejpam-6820	427	59	,	,	PUNCT
ejpam-6820	427	60	10	10	NUM
ejpam-6820	427	61	]	]	PUNCT
ejpam-6820	427	62	for	for	ADP
ejpam-6820	427	63	m	m	PROPN
ejpam-6820	427	64	=	=	NOUN
ejpam-6820	427	65	1.2	1.2	NUM
ejpam-6820	427	66	,	,	PUNCT
ejpam-6820	427	67	k	k	NOUN
ejpam-6820	427	68	=	=	SYM
ejpam-6820	427	69	−0.0543	−0.0543	PROPN
ejpam-6820	427	70	.	.	PUNCT
ejpam-6820	428	1	in	in	ADP
ejpam-6820	428	2	this	this	DET
ejpam-6820	428	3	example	example	NOUN
ejpam-6820	428	4	,	,	PUNCT
ejpam-6820	428	5	stochastic	stochastic	ADJ
ejpam-6820	428	6	stability	stability	NOUN
ejpam-6820	428	7	analysis	analysis	NOUN
ejpam-6820	428	8	would	would	AUX
ejpam-6820	428	9	involve	involve	VERB
ejpam-6820	428	10	studying	study	VERB
ejpam-6820	428	11	how	how	SCONJ
ejpam-6820	428	12	the	the	DET
ejpam-6820	428	13	behavior	behavior	NOUN
ejpam-6820	428	14	of	of	ADP
ejpam-6820	428	15	the	the	DET
ejpam-6820	428	16	ball	ball	NOUN
ejpam-6820	428	17	evolves	evolve	VERB
ejpam-6820	428	18	over	over	ADP
ejpam-6820	428	19	time	time	NOUN
ejpam-6820	428	20	in	in	ADP
ejpam-6820	428	21	the	the	DET
ejpam-6820	428	22	presence	presence	NOUN
ejpam-6820	428	23	of	of	ADP
ejpam-6820	428	24	both	both	CCONJ
ejpam-6820	428	25	stochastic	stochastic	ADJ
ejpam-6820	428	26	fluctuations	fluctuation	NOUN
ejpam-6820	428	27	(	(	PUNCT
ejpam-6820	428	28	due	due	ADP
ejpam-6820	428	29	to	to	ADP
ejpam-6820	428	30	air	air	NOUN
ejpam-6820	428	31	resistance	resistance	NOUN
ejpam-6820	428	32	)	)	PUNCT
ejpam-6820	428	33	and	and	CCONJ
ejpam-6820	428	34	impulsive	impulsive	ADJ
ejpam-6820	428	35	events	event	NOUN
ejpam-6820	428	36	(	(	PUNCT
ejpam-6820	428	37	bouncing	bounce	VERB
ejpam-6820	428	38	off	off	ADP
ejpam-6820	428	39	the	the	DET
ejpam-6820	428	40	ground	ground	NOUN
ejpam-6820	428	41	)	)	PUNCT
ejpam-6820	428	42	.	.	PUNCT
ejpam-6820	429	1	the	the	DET
ejpam-6820	429	2	goal	goal	NOUN
ejpam-6820	429	3	would	would	AUX
ejpam-6820	429	4	be	be	AUX
ejpam-6820	429	5	to	to	PART
ejpam-6820	429	6	determine	determine	VERB
ejpam-6820	429	7	whether	whether	SCONJ
ejpam-6820	429	8	,	,	PUNCT
ejpam-6820	429	9	on	on	ADP
ejpam-6820	429	10	average	average	ADJ
ejpam-6820	429	11	,	,	PUNCT
ejpam-6820	429	12	the	the	DET
ejpam-6820	429	13	ball	ball	NOUN
ejpam-6820	429	14	’s	’s	PART
ejpam-6820	429	15	position	position	NOUN
ejpam-6820	429	16	remains	remain	VERB
ejpam-6820	429	17	bounded	bounded	ADJ
ejpam-6820	429	18	(	(	PUNCT
ejpam-6820	429	19	i.e.	i.e.	X
ejpam-6820	429	20	,	,	PUNCT
ejpam-6820	429	21	it	it	PRON
ejpam-6820	429	22	does	do	AUX
ejpam-6820	429	23	n’t	not	PART
ejpam-6820	429	24	bounce	bounce	VERB
ejpam-6820	429	25	off	off	ADP
ejpam-6820	429	26	into	into	ADP
ejpam-6820	429	27	infinity	infinity	NOUN
ejpam-6820	429	28	or	or	CCONJ
ejpam-6820	429	29	hit	hit	VERB
ejpam-6820	429	30	the	the	DET
ejpam-6820	429	31	ground	ground	NOUN
ejpam-6820	429	32	with	with	ADP
ejpam-6820	429	33	infinite	infinite	ADJ
ejpam-6820	429	34	force	force	NOUN
ejpam-6820	429	35	)	)	PUNCT
ejpam-6820	429	36	,	,	PUNCT
ejpam-6820	429	37	despite	despite	SCONJ
ejpam-6820	429	38	the	the	DET
ejpam-6820	429	39	stochastic	stochastic	ADJ
ejpam-6820	429	40	and	and	CCONJ
ejpam-6820	429	41	impulsive	impulsive	ADJ
ejpam-6820	429	42	nature	nature	NOUN
ejpam-6820	429	43	of	of	ADP
ejpam-6820	429	44	the	the	DET
ejpam-6820	429	45	system	system	NOUN
ejpam-6820	429	46	.	.	PUNCT
ejpam-6820	430	1	by	by	ADP
ejpam-6820	430	2	analyzing	analyze	VERB
ejpam-6820	430	3	the	the	DET
ejpam-6820	430	4	properties	property	NOUN
ejpam-6820	430	5	of	of	ADP
ejpam-6820	430	6	this	this	PRON
ejpam-6820	430	7	if	if	SCONJ
ejpam-6820	430	8	-	-	PUNCT
ejpam-6820	430	9	sde	sde	PROPN
ejpam-6820	430	10	and	and	CCONJ
ejpam-6820	430	11	assessing	assess	VERB
ejpam-6820	430	12	the	the	DET
ejpam-6820	430	13	conditions	condition	NOUN
ejpam-6820	430	14	under	under	ADP
ejpam-6820	430	15	which	which	PRON
ejpam-6820	430	16	the	the	DET
ejpam-6820	430	17	ball	ball	NOUN
ejpam-6820	430	18	’s	’s	PART
ejpam-6820	430	19	position	position	NOUN
ejpam-6820	430	20	remains	remain	VERB
ejpam-6820	430	21	bounded	bound	VERB
ejpam-6820	430	22	,	,	PUNCT
ejpam-6820	430	23	physicists	physicist	NOUN
ejpam-6820	430	24	can	can	AUX
ejpam-6820	430	25	gain	gain	VERB
ejpam-6820	430	26	insights	insight	NOUN
ejpam-6820	430	27	into	into	ADP
ejpam-6820	430	28	the	the	DET
ejpam-6820	430	29	stochastic	stochastic	ADJ
ejpam-6820	430	30	stability	stability	NOUN
ejpam-6820	430	31	of	of	ADP
ejpam-6820	430	32	this	this	DET
ejpam-6820	430	33	real	real	ADJ
ejpam-6820	430	34	-	-	PUNCT
ejpam-6820	430	35	life	life	NOUN
ejpam-6820	430	36	physical	physical	ADJ
ejpam-6820	430	37	system	system	NOUN
ejpam-6820	430	38	.	.	PUNCT
ejpam-6820	431	1	the	the	DET
ejpam-6820	431	2	results	result	NOUN
ejpam-6820	431	3	of	of	ADP
ejpam-6820	431	4	such	such	DET
ejpam-6820	431	5	an	an	DET
ejpam-6820	431	6	analysis	analysis	NOUN
ejpam-6820	431	7	could	could	AUX
ejpam-6820	431	8	be	be	AUX
ejpam-6820	431	9	used	use	VERB
ejpam-6820	431	10	to	to	PART
ejpam-6820	431	11	design	design	VERB
ejpam-6820	431	12	more	more	ADJ
ejpam-6820	431	13	robust	robust	ADJ
ejpam-6820	431	14	systems	system	NOUN
ejpam-6820	431	15	or	or	CCONJ
ejpam-6820	431	16	optimize	optimize	VERB
ejpam-6820	431	17	the	the	DET
ejpam-6820	431	18	behavior	behavior	NOUN
ejpam-6820	431	19	of	of	ADP
ejpam-6820	431	20	bouncing	bounce	VERB
ejpam-6820	431	21	objects	object	NOUN
ejpam-6820	431	22	subjected	subject	VERB
ejpam-6820	431	23	to	to	ADP
ejpam-6820	431	24	random	random	ADJ
ejpam-6820	431	25	forces	force	NOUN
ejpam-6820	431	26	and	and	CCONJ
ejpam-6820	431	27	collisions	collision	NOUN
ejpam-6820	431	28	.	.	PUNCT
ejpam-6820	432	1	6	6	X
ejpam-6820	432	2	.	.	X
ejpam-6820	432	3	conclusions	conclusion	NOUN
ejpam-6820	432	4	this	this	DET
ejpam-6820	432	5	work	work	NOUN
ejpam-6820	432	6	uses	use	VERB
ejpam-6820	432	7	the	the	DET
ejpam-6820	432	8	rosenblatt	rosenblatt	PROPN
ejpam-6820	432	9	process	process	NOUN
ejpam-6820	432	10	along	along	ADP
ejpam-6820	432	11	with	with	ADP
ejpam-6820	432	12	a	a	DET
ejpam-6820	432	13	multi	multi	ADJ
ejpam-6820	432	14	-	-	ADJ
ejpam-6820	432	15	term	term	ADJ
ejpam-6820	432	16	caputo	caputo	PROPN
ejpam-6820	432	17	fractional	fractional	PROPN
ejpam-6820	432	18	derivative	derivative	NOUN
ejpam-6820	432	19	to	to	PART
ejpam-6820	432	20	evaluate	evaluate	VERB
ejpam-6820	432	21	the	the	DET
ejpam-6820	432	22	stability	stability	NOUN
ejpam-6820	432	23	and	and	CCONJ
ejpam-6820	432	24	controllability	controllability	NOUN
ejpam-6820	432	25	of	of	ADP
ejpam-6820	432	26	stochastic	stochastic	ADJ
ejpam-6820	432	27	fractional	fractional	ADJ
ejpam-6820	432	28	impulsive	impulsive	ADJ
ejpam-6820	432	29	differential	differential	ADJ
ejpam-6820	432	30	equations	equation	NOUN
ejpam-6820	432	31	.	.	PUNCT
ejpam-6820	433	1	using	use	VERB
ejpam-6820	433	2	the	the	DET
ejpam-6820	433	3	fixed	fix	VERB
ejpam-6820	433	4	point	point	NOUN
ejpam-6820	433	5	theory	theory	NOUN
ejpam-6820	433	6	of	of	ADP
ejpam-6820	433	7	the	the	DET
ejpam-6820	433	8	banach	banach	NOUN
ejpam-6820	433	9	contraction	contraction	NOUN
ejpam-6820	433	10	mapping	mapping	NOUN
ejpam-6820	433	11	m.	m.	NOUN
ejpam-6820	433	12	lavanya	lavanya	PROPN
ejpam-6820	433	13	et	et	PROPN
ejpam-6820	433	14	al	al	PROPN
ejpam-6820	433	15	.	.	PUNCT
ejpam-6820	433	16	/	/	SYM
ejpam-6820	433	17	eur	eur	PROPN
ejpam-6820	433	18	.	.	PUNCT
ejpam-6820	434	1	j.	j.	PROPN
ejpam-6820	434	2	pure	pure	PROPN
ejpam-6820	434	3	appl	appl	PROPN
ejpam-6820	434	4	.	.	PROPN
ejpam-6820	434	5	math	math	PROPN
ejpam-6820	434	6	,	,	PUNCT
ejpam-6820	434	7	18	18	NUM
ejpam-6820	434	8	(	(	PUNCT
ejpam-6820	434	9	4	4	NUM
ejpam-6820	434	10	)	)	PUNCT
ejpam-6820	434	11	(	(	PUNCT
ejpam-6820	434	12	2025	2025	NUM
ejpam-6820	434	13	)	)	PUNCT
ejpam-6820	434	14	,	,	PUNCT
ejpam-6820	434	15	6820	6820	NUM
ejpam-6820	434	16	19	19	NUM
ejpam-6820	434	17	of	of	ADP
ejpam-6820	434	18	20	20	NUM
ejpam-6820	434	19	principle	principle	NOUN
ejpam-6820	434	20	,	,	PUNCT
ejpam-6820	434	21	an	an	DET
ejpam-6820	434	22	attempt	attempt	NOUN
ejpam-6820	434	23	was	be	AUX
ejpam-6820	434	24	made	make	VERB
ejpam-6820	434	25	to	to	PART
ejpam-6820	434	26	construct	construct	VERB
ejpam-6820	434	27	acceptable	acceptable	ADJ
ejpam-6820	434	28	criteria	criterion	NOUN
ejpam-6820	434	29	for	for	ADP
ejpam-6820	434	30	stochastic	stochastic	ADJ
ejpam-6820	434	31	stability	stability	NOUN
ejpam-6820	434	32	and	and	CCONJ
ejpam-6820	434	33	controllability	controllability	NOUN
ejpam-6820	434	34	analysis	analysis	NOUN
ejpam-6820	434	35	.	.	PUNCT
ejpam-6820	435	1	the	the	DET
ejpam-6820	435	2	full	full	ADJ
ejpam-6820	435	3	study	study	NOUN
ejpam-6820	435	4	has	have	AUX
ejpam-6820	435	5	been	be	AUX
ejpam-6820	435	6	provided	provide	VERB
ejpam-6820	435	7	with	with	ADP
ejpam-6820	435	8	examples	example	NOUN
ejpam-6820	435	9	.	.	PUNCT
ejpam-6820	436	1	last	last	ADJ
ejpam-6820	436	2	but	but	CCONJ
ejpam-6820	436	3	not	not	PART
ejpam-6820	436	4	least	least	ADJ
ejpam-6820	436	5	,	,	PUNCT
ejpam-6820	436	6	it	it	PRON
ejpam-6820	436	7	is	be	AUX
ejpam-6820	436	8	possible	possible	ADJ
ejpam-6820	436	9	to	to	PART
ejpam-6820	436	10	investigate	investigate	VERB
ejpam-6820	436	11	the	the	DET
ejpam-6820	436	12	dynamical	dynamical	ADJ
ejpam-6820	436	13	behaviour	behaviour	NOUN
ejpam-6820	436	14	of	of	ADP
ejpam-6820	436	15	numerous	numerous	ADJ
ejpam-6820	436	16	real	real	ADJ
ejpam-6820	436	17	-	-	PUNCT
ejpam-6820	436	18	world	world	NOUN
ejpam-6820	436	19	objects	object	NOUN
ejpam-6820	436	20	by	by	ADP
ejpam-6820	436	21	combining	combine	VERB
ejpam-6820	436	22	the	the	DET
ejpam-6820	436	23	multi	multi	ADJ
ejpam-6820	436	24	-	-	ADJ
ejpam-6820	436	25	term	term	ADJ
ejpam-6820	436	26	caputo	caputo	PROPN
ejpam-6820	436	27	fractional	fractional	PROPN
ejpam-6820	436	28	derivative	derivative	NOUN
ejpam-6820	436	29	with	with	ADP
ejpam-6820	436	30	the	the	DET
ejpam-6820	436	31	rosenblatt	rosenblatt	PROPN
ejpam-6820	436	32	process	process	NOUN
ejpam-6820	436	33	stochastic	stochastic	ADJ
ejpam-6820	436	34	differential	differential	NOUN
ejpam-6820	436	35	equation	equation	NOUN
ejpam-6820	436	36	.	.	PUNCT
ejpam-6820	437	1	as	as	ADP
ejpam-6820	437	2	a	a	DET
ejpam-6820	437	3	direction	direction	NOUN
ejpam-6820	437	4	for	for	ADP
ejpam-6820	437	5	future	future	ADJ
ejpam-6820	437	6	research	research	NOUN
ejpam-6820	437	7	,	,	PUNCT
ejpam-6820	437	8	the	the	DET
ejpam-6820	437	9	present	present	ADJ
ejpam-6820	437	10	analysis	analysis	NOUN
ejpam-6820	437	11	can	can	AUX
ejpam-6820	437	12	be	be	AUX
ejpam-6820	437	13	extended	extend	VERB
ejpam-6820	437	14	to	to	ADP
ejpam-6820	437	15	multi	multi	ADJ
ejpam-6820	437	16	-	-	ADJ
ejpam-6820	437	17	term	term	ADJ
ejpam-6820	437	18	stochastic	stochastic	ADJ
ejpam-6820	437	19	fractional	fractional	ADJ
ejpam-6820	437	20	differential	differential	ADJ
ejpam-6820	437	21	inclusions	inclusion	NOUN
ejpam-6820	437	22	,	,	PUNCT
ejpam-6820	437	23	where	where	SCONJ
ejpam-6820	437	24	the	the	DET
ejpam-6820	437	25	control	control	NOUN
ejpam-6820	437	26	functions	function	NOUN
ejpam-6820	437	27	belong	belong	VERB
ejpam-6820	437	28	to	to	ADP
ejpam-6820	437	29	a	a	DET
ejpam-6820	437	30	set	set	NOUN
ejpam-6820	437	31	-	-	PUNCT
ejpam-6820	437	32	valued	value	VERB
ejpam-6820	437	33	map	map	NOUN
ejpam-6820	437	34	.	.	PUNCT
ejpam-6820	438	1	this	this	PRON
ejpam-6820	438	2	would	would	AUX
ejpam-6820	438	3	allow	allow	VERB
ejpam-6820	438	4	us	we	PRON
ejpam-6820	438	5	to	to	PART
ejpam-6820	438	6	investigate	investigate	VERB
ejpam-6820	438	7	more	more	ADJ
ejpam-6820	438	8	general	general	ADJ
ejpam-6820	438	9	systems	system	NOUN
ejpam-6820	438	10	with	with	ADP
ejpam-6820	438	11	uncertainties	uncertainty	NOUN
ejpam-6820	438	12	and	and	CCONJ
ejpam-6820	438	13	constraints	constraint	NOUN
ejpam-6820	438	14	.	.	PUNCT
ejpam-6820	439	1	potential	potential	ADJ
ejpam-6820	439	2	applications	application	NOUN
ejpam-6820	439	3	of	of	ADP
ejpam-6820	439	4	such	such	ADJ
ejpam-6820	439	5	models	model	NOUN
ejpam-6820	439	6	can	can	AUX
ejpam-6820	439	7	be	be	AUX
ejpam-6820	439	8	explored	explore	VERB
ejpam-6820	439	9	in	in	ADP
ejpam-6820	439	10	engineering	engineering	NOUN
ejpam-6820	439	11	systems	system	NOUN
ejpam-6820	439	12	with	with	ADP
ejpam-6820	439	13	random	random	ADJ
ejpam-6820	439	14	perturbations	perturbation	NOUN
ejpam-6820	439	15	,	,	PUNCT
ejpam-6820	439	16	financial	financial	ADJ
ejpam-6820	439	17	mathematics	mathematic	NOUN
ejpam-6820	439	18	for	for	ADP
ejpam-6820	439	19	modeling	model	VERB
ejpam-6820	439	20	market	market	NOUN
ejpam-6820	439	21	volatility	volatility	NOUN
ejpam-6820	439	22	,	,	PUNCT
ejpam-6820	439	23	and	and	CCONJ
ejpam-6820	439	24	biological	biological	ADJ
ejpam-6820	439	25	systems	system	NOUN
ejpam-6820	439	26	where	where	SCONJ
ejpam-6820	439	27	impulsive	impulsive	ADJ
ejpam-6820	439	28	effects	effect	NOUN
ejpam-6820	439	29	and	and	CCONJ
ejpam-6820	439	30	memory	memory	NOUN
ejpam-6820	439	31	play	play	VERB
ejpam-6820	439	32	a	a	DET
ejpam-6820	439	33	significant	significant	ADJ
ejpam-6820	439	34	role	role	NOUN
ejpam-6820	439	35	.	.	PUNCT
ejpam-6820	440	1	further	further	ADJ
ejpam-6820	440	2	studies	study	NOUN
ejpam-6820	440	3	may	may	AUX
ejpam-6820	440	4	also	also	ADV
ejpam-6820	440	5	focus	focus	VERB
ejpam-6820	440	6	on	on	ADP
ejpam-6820	440	7	developing	develop	VERB
ejpam-6820	440	8	numerical	numerical	ADJ
ejpam-6820	440	9	algorithms	algorithm	NOUN
ejpam-6820	440	10	to	to	PART
ejpam-6820	440	11	approximate	approximate	VERB
ejpam-6820	440	12	the	the	DET
ejpam-6820	440	13	controllability	controllability	NOUN
ejpam-6820	440	14	and	and	CCONJ
ejpam-6820	440	15	stability	stability	NOUN
ejpam-6820	440	16	conditions	condition	NOUN
ejpam-6820	440	17	for	for	ADP
ejpam-6820	440	18	such	such	ADJ
ejpam-6820	440	19	inclusions	inclusion	NOUN
ejpam-6820	440	20	.	.	PUNCT
ejpam-6820	441	1	acknowledgements	acknowledgement	NOUN
ejpam-6820	441	2	the	the	DET
ejpam-6820	441	3	first	first	ADJ
ejpam-6820	441	4	author	author	NOUN
ejpam-6820	441	5	is	be	AUX
ejpam-6820	441	6	supported	support	VERB
ejpam-6820	441	7	by	by	ADP
ejpam-6820	441	8	rusa	rusa	NOUN
ejpam-6820	441	9	-	-	PUNCT
ejpam-6820	441	10	phase	phase	NOUN
ejpam-6820	441	11	2.0	2.0	NUM
ejpam-6820	441	12	grant	grant	NOUN
ejpam-6820	441	13	sanctioned	sanction	VERB
ejpam-6820	441	14	vide	vide	NOUN
ejpam-6820	441	15	letter	letter	NOUN
ejpam-6820	441	16	no.f	no.f	PROPN
ejpam-6820	441	17	24	24	NUM
ejpam-6820	441	18	-	-	PUNCT
ejpam-6820	441	19	51/2014	51/2014	NUM
ejpam-6820	441	20	-	-	PUNCT
ejpam-6820	441	21	u	u	NOUN
ejpam-6820	441	22	,	,	PUNCT
ejpam-6820	441	23	policy	policy	NOUN
ejpam-6820	441	24	(	(	PUNCT
ejpam-6820	441	25	tn	tn	NOUN
ejpam-6820	441	26	multigen	multigen	NOUN
ejpam-6820	441	27	)	)	PUNCT
ejpam-6820	441	28	,	,	PUNCT
ejpam-6820	441	29	dept	dept	NOUN
ejpam-6820	441	30	.	.	PROPN
ejpam-6820	441	31	of	of	ADP
ejpam-6820	441	32	edn	edn	PROPN
ejpam-6820	441	33	.	.	PUNCT
ejpam-6820	442	1	govt	govt	PROPN
ejpam-6820	442	2	.	.	PUNCT
ejpam-6820	443	1	of	of	ADP
ejpam-6820	443	2	india	india	PROPN
ejpam-6820	443	3	,	,	PUNCT
ejpam-6820	443	4	dt.09.10.2018	dt.09.10.2018	PROPN
ejpam-6820	443	5	.	.	PUNCT
ejpam-6820	444	1	the	the	DET
ejpam-6820	444	2	second	second	ADJ
ejpam-6820	444	3	author	author	NOUN
ejpam-6820	444	4	would	would	AUX
ejpam-6820	444	5	like	like	VERB
ejpam-6820	444	6	to	to	PART
ejpam-6820	444	7	thank	thank	VERB
ejpam-6820	444	8	the	the	DET
ejpam-6820	444	9	department	department	NOUN
ejpam-6820	444	10	of	of	ADP
ejpam-6820	444	11	science	science	NOUN
ejpam-6820	444	12	and	and	CCONJ
ejpam-6820	444	13	technology	technology	NOUN
ejpam-6820	444	14	,	,	PUNCT
ejpam-6820	444	15	government	government	NOUN
ejpam-6820	444	16	of	of	ADP
ejpam-6820	444	17	india	india	PROPN
ejpam-6820	444	18	,	,	PUNCT
ejpam-6820	444	19	under	under	ADP
ejpam-6820	444	20	the	the	DET
ejpam-6820	444	21	scheme	scheme	NOUN
ejpam-6820	444	22	fist(sr	fist(sr	ADJ
ejpam-6820	444	23	/	/	SYM
ejpam-6820	444	24	fst	fst	NOUN
ejpam-6820	444	25	/	/	SYM
ejpam-6820	444	26	msi/2023/131	msi/2023/131	NOUN
ejpam-6820	444	27	)	)	PUNCT
ejpam-6820	444	28	.	.	PUNCT
ejpam-6820	445	1	references	reference	NOUN
ejpam-6820	445	2	[	[	X
ejpam-6820	445	3	1	1	X
ejpam-6820	445	4	]	]	PUNCT
ejpam-6820	445	5	h.	h.	PROPN
ejpam-6820	445	6	o.	o.	PROPN
ejpam-6820	445	7	al	al	PROPN
ejpam-6820	445	8	-	-	PUNCT
ejpam-6820	445	9	khawaldeh	khawaldeh	PROPN
ejpam-6820	445	10	,	,	PUNCT
ejpam-6820	445	11	i.	i.	PROPN
ejpam-6820	445	12	m.	m.	PROPN
ejpam-6820	445	13	batiha	batiha	PROPN
ejpam-6820	445	14	,	,	PUNCT
ejpam-6820	445	15	m.	m.	NOUN
ejpam-6820	445	16	zuriqat	zuriqat	PROPN
ejpam-6820	445	17	,	,	PUNCT
ejpam-6820	445	18	n.	n.	PROPN
ejpam-6820	445	19	anakira	anakira	PROPN
ejpam-6820	445	20	,	,	PUNCT
ejpam-6820	445	21	o.	o.	PROPN
ejpam-6820	445	22	ogilat	ogilat	ADJ
ejpam-6820	445	23	,	,	PUNCT
ejpam-6820	445	24	and	and	CCONJ
ejpam-6820	445	25	t.	t.	PROPN
ejpam-6820	445	26	sasa	sasa	PROPN
ejpam-6820	445	27	.	.	PUNCT
ejpam-6820	446	1	a	a	DET
ejpam-6820	446	2	numerical	numerical	ADJ
ejpam-6820	446	3	approach	approach	NOUN
ejpam-6820	446	4	for	for	ADP
ejpam-6820	446	5	solving	solve	VERB
ejpam-6820	446	6	fractional	fractional	ADJ
ejpam-6820	446	7	linear	linear	ADJ
ejpam-6820	446	8	boundary	boundary	ADJ
ejpam-6820	446	9	value	value	NOUN
ejpam-6820	446	10	problems	problem	NOUN
ejpam-6820	446	11	using	use	VERB
ejpam-6820	446	12	shooting	shooting	NOUN
ejpam-6820	446	13	method	method	NOUN
ejpam-6820	446	14	.	.	PUNCT
ejpam-6820	447	1	journal	journal	PROPN
ejpam-6820	447	2	of	of	ADP
ejpam-6820	447	3	mathematical	mathematical	ADJ
ejpam-6820	447	4	analysis	analysis	NOUN
ejpam-6820	447	5	,	,	PUNCT
ejpam-6820	447	6	16(3):1–20	16(3):1–20	NUM
ejpam-6820	447	7	,	,	PUNCT
ejpam-6820	447	8	2025	2025	NUM
ejpam-6820	447	9	.	.	PUNCT
ejpam-6820	448	1	[	[	X
ejpam-6820	448	2	2	2	NUM
ejpam-6820	448	3	]	]	X
ejpam-6820	448	4	r.	r.	PROPN
ejpam-6820	448	5	alkhateeb	alkhateeb	PROPN
ejpam-6820	448	6	,	,	PUNCT
ejpam-6820	448	7	m.	m.	NOUN
ejpam-6820	448	8	m.	m.	PROPN
ejpam-6820	448	9	abu	abu	PROPN
ejpam-6820	448	10	hammad	hammad	PROPN
ejpam-6820	448	11	,	,	PUNCT
ejpam-6820	448	12	b.	b.	PROPN
ejpam-6820	448	13	al	al	PROPN
ejpam-6820	448	14	-	-	PUNCT
ejpam-6820	448	15	shutnawi	shutnawi	PROPN
ejpam-6820	448	16	,	,	PUNCT
ejpam-6820	448	17	n.	n.	NOUN
ejpam-6820	448	18	laiche	laiche	PROPN
ejpam-6820	448	19	,	,	PUNCT
ejpam-6820	448	20	and	and	CCONJ
ejpam-6820	448	21	z.	z.	PROPN
ejpam-6820	448	22	chikr	chikr	PROPN
ejpam-6820	448	23	el	el	PROPN
ejpam-6820	448	24	mezouar	mezouar	PROPN
ejpam-6820	448	25	.	.	PUNCT
ejpam-6820	449	1	solving	solve	VERB
ejpam-6820	449	2	fractional	fractional	ADJ
ejpam-6820	449	3	stochastic	stochastic	ADJ
ejpam-6820	449	4	differential	differential	ADJ
ejpam-6820	449	5	equations	equation	NOUN
ejpam-6820	449	6	via	via	ADP
ejpam-6820	449	7	a	a	DET
ejpam-6820	449	8	bilinear	bilinear	ADJ
ejpam-6820	449	9	time	time	NOUN
ejpam-6820	449	10	-	-	PUNCT
ejpam-6820	449	11	series	series	NOUN
ejpam-6820	449	12	framework	framework	NOUN
ejpam-6820	449	13	.	.	PUNCT
ejpam-6820	450	1	symmetry	symmetry	PROPN
ejpam-6820	450	2	,	,	PUNCT
ejpam-6820	450	3	17(5):764	17(5):764	NOUN
ejpam-6820	450	4	,	,	PUNCT
ejpam-6820	450	5	2025	2025	NUM
ejpam-6820	450	6	.	.	PUNCT
ejpam-6820	451	1	[	[	X
ejpam-6820	451	2	3	3	X
ejpam-6820	451	3	]	]	X
ejpam-6820	451	4	t.	t.	NOUN
ejpam-6820	451	5	alzkari	alzkari	PROPN
ejpam-6820	451	6	,	,	PUNCT
ejpam-6820	451	7	h.	h.	PROPN
ejpam-6820	451	8	u.	u.	PROPN
ejpam-6820	451	9	jan	jan	PROPN
ejpam-6820	451	10	,	,	PUNCT
ejpam-6820	451	11	m.	m.	NOUN
ejpam-6820	451	12	fiza	fiza	PROPN
ejpam-6820	451	13	,	,	PUNCT
ejpam-6820	451	14	h.	h.	PROPN
ejpam-6820	451	15	ullah	ullah	PROPN
ejpam-6820	451	16	,	,	PUNCT
ejpam-6820	451	17	a.	a.	PROPN
ejpam-6820	451	18	u.	u.	PROPN
ejpam-6820	451	19	jan	jan	PROPN
ejpam-6820	451	20	,	,	PUNCT
ejpam-6820	451	21	a.	a.	NOUN
ejpam-6820	451	22	akgül	akgül	NOUN
ejpam-6820	451	23	,	,	PUNCT
ejpam-6820	451	24	a.	a.	PROPN
ejpam-6820	451	25	s.	s.	PROPN
ejpam-6820	451	26	hendy	hendy	PROPN
ejpam-6820	451	27	,	,	PUNCT
ejpam-6820	451	28	i.	i.	PROPN
ejpam-6820	451	29	khan	khan	PROPN
ejpam-6820	451	30	,	,	PUNCT
ejpam-6820	451	31	a.	a.	PROPN
ejpam-6820	451	32	b.	b.	PROPN
ejpam-6820	451	33	albidah	albidah	PROPN
ejpam-6820	451	34	,	,	PUNCT
ejpam-6820	451	35	and	and	CCONJ
ejpam-6820	451	36	w.	w.	PROPN
ejpam-6820	451	37	s.	s.	PROPN
ejpam-6820	451	38	koh	koh	PROPN
ejpam-6820	451	39	.	.	PUNCT
ejpam-6820	452	1	optimal	optimal	ADJ
ejpam-6820	452	2	solutions	solution	NOUN
ejpam-6820	452	3	of	of	ADP
ejpam-6820	452	4	the	the	DET
ejpam-6820	452	5	time	time	NOUN
ejpam-6820	452	6	-	-	PUNCT
ejpam-6820	452	7	fractional	fractional	ADJ
ejpam-6820	452	8	wave	wave	NOUN
ejpam-6820	452	9	models	model	NOUN
ejpam-6820	452	10	.	.	PUNCT
ejpam-6820	453	1	international	international	ADJ
ejpam-6820	453	2	journal	journal	NOUN
ejpam-6820	453	3	of	of	ADP
ejpam-6820	453	4	analysis	analysis	NOUN
ejpam-6820	453	5	and	and	CCONJ
ejpam-6820	453	6	applications	application	NOUN
ejpam-6820	453	7	,	,	PUNCT
ejpam-6820	453	8	23:129	23:129	NUM
ejpam-6820	453	9	,	,	PUNCT
ejpam-6820	453	10	2025	2025	NUM
ejpam-6820	453	11	.	.	PUNCT
ejpam-6820	454	1	[	[	X
ejpam-6820	454	2	4	4	NUM
ejpam-6820	454	3	]	]	PUNCT
ejpam-6820	454	4	a.	a.	NOUN
ejpam-6820	454	5	friedman	friedman	PROPN
ejpam-6820	454	6	.	.	PUNCT
ejpam-6820	455	1	stochastic	stochastic	ADJ
ejpam-6820	455	2	differential	differential	ADJ
ejpam-6820	455	3	equations	equation	NOUN
ejpam-6820	455	4	and	and	CCONJ
ejpam-6820	455	5	applications	application	NOUN
ejpam-6820	455	6	.	.	PUNCT
ejpam-6820	456	1	dover	dover	PROPN
ejpam-6820	456	2	publications	publication	NOUN
ejpam-6820	456	3	,	,	PUNCT
ejpam-6820	456	4	2011	2011	NUM
ejpam-6820	456	5	.	.	PUNCT
ejpam-6820	457	1	[	[	X
ejpam-6820	457	2	5	5	NUM
ejpam-6820	457	3	]	]	PUNCT
ejpam-6820	457	4	m.	m.	NOUN
ejpam-6820	457	5	lavanya	lavanya	NOUN
ejpam-6820	457	6	and	and	CCONJ
ejpam-6820	457	7	b.	b.	PROPN
ejpam-6820	457	8	s.	s.	PROPN
ejpam-6820	457	9	vadivoo	vadivoo	PROPN
ejpam-6820	457	10	.	.	PUNCT
ejpam-6820	458	1	analysis	analysis	NOUN
ejpam-6820	458	2	of	of	ADP
ejpam-6820	458	3	controllability	controllability	NOUN
ejpam-6820	458	4	in	in	ADP
ejpam-6820	458	5	caputo	caputo	PROPN
ejpam-6820	458	6	–	–	PUNCT
ejpam-6820	458	7	hadamard	hadamard	ADJ
ejpam-6820	458	8	stochastic	stochastic	ADJ
ejpam-6820	458	9	fractional	fractional	ADJ
ejpam-6820	458	10	differential	differential	ADJ
ejpam-6820	458	11	equations	equation	NOUN
ejpam-6820	458	12	with	with	ADP
ejpam-6820	458	13	fractional	fractional	ADJ
ejpam-6820	458	14	brownian	brownian	ADJ
ejpam-6820	458	15	motion	motion	NOUN
ejpam-6820	458	16	.	.	PUNCT
ejpam-6820	459	1	international	international	ADJ
ejpam-6820	459	2	journal	journal	PROPN
ejpam-6820	459	3	of	of	ADP
ejpam-6820	459	4	dynamics	dynamic	NOUN
ejpam-6820	459	5	and	and	CCONJ
ejpam-6820	459	6	control	control	NOUN
ejpam-6820	459	7	,	,	PUNCT
ejpam-6820	459	8	pages	page	NOUN
ejpam-6820	459	9	1–9	1–9	NUM
ejpam-6820	459	10	,	,	PUNCT
ejpam-6820	459	11	2023	2023	NUM
ejpam-6820	459	12	.	.	PUNCT
ejpam-6820	460	1	[	[	X
ejpam-6820	460	2	6	6	NUM
ejpam-6820	460	3	]	]	PUNCT
ejpam-6820	460	4	i.	i.	NOUN
ejpam-6820	460	5	podlubny	podlubny	PROPN
ejpam-6820	460	6	.	.	PUNCT
ejpam-6820	461	1	fractional	fractional	ADJ
ejpam-6820	461	2	differential	differential	ADJ
ejpam-6820	461	3	equations	equation	NOUN
ejpam-6820	461	4	:	:	PUNCT
ejpam-6820	461	5	an	an	DET
ejpam-6820	461	6	introduction	introduction	NOUN
ejpam-6820	461	7	to	to	ADP
ejpam-6820	461	8	fractional	fractional	ADJ
ejpam-6820	461	9	derivatives	derivative	NOUN
ejpam-6820	461	10	,	,	PUNCT
ejpam-6820	461	11	fractional	fractional	ADJ
ejpam-6820	461	12	differential	differential	ADJ
ejpam-6820	461	13	equations	equation	NOUN
ejpam-6820	461	14	,	,	PUNCT
ejpam-6820	461	15	to	to	ADP
ejpam-6820	461	16	methods	method	NOUN
ejpam-6820	461	17	of	of	ADP
ejpam-6820	461	18	their	their	PRON
ejpam-6820	461	19	solution	solution	NOUN
ejpam-6820	461	20	and	and	CCONJ
ejpam-6820	461	21	some	some	PRON
ejpam-6820	461	22	of	of	ADP
ejpam-6820	461	23	their	their	PRON
ejpam-6820	461	24	applications	application	NOUN
ejpam-6820	461	25	.	.	PUNCT
ejpam-6820	462	1	academic	academic	ADJ
ejpam-6820	462	2	press	press	PROPN
ejpam-6820	462	3	,	,	PUNCT
ejpam-6820	462	4	london	london	PROPN
ejpam-6820	462	5	,	,	PUNCT
ejpam-6820	462	6	1998	1998	NUM
ejpam-6820	462	7	.	.	PUNCT
ejpam-6820	463	1	[	[	X
ejpam-6820	463	2	7	7	X
ejpam-6820	463	3	]	]	X
ejpam-6820	463	4	r.	r.	NOUN
ejpam-6820	463	5	hilfer	hilfer	PROPN
ejpam-6820	463	6	.	.	PUNCT
ejpam-6820	464	1	applications	application	NOUN
ejpam-6820	464	2	of	of	ADP
ejpam-6820	464	3	fractional	fractional	ADJ
ejpam-6820	464	4	calculus	calculus	NOUN
ejpam-6820	464	5	in	in	ADP
ejpam-6820	464	6	physics	physics	PROPN
ejpam-6820	464	7	.	.	PUNCT
ejpam-6820	465	1	world	world	NOUN
ejpam-6820	465	2	scientific	scientific	ADJ
ejpam-6820	465	3	publishing	publishing	NOUN
ejpam-6820	465	4	company	company	NOUN
ejpam-6820	465	5	,	,	PUNCT
ejpam-6820	465	6	singapore	singapore	PROPN
ejpam-6820	465	7	,	,	PUNCT
ejpam-6820	465	8	2000	2000	NUM
ejpam-6820	465	9	.	.	PUNCT
ejpam-6820	466	1	[	[	X
ejpam-6820	466	2	8	8	NUM
ejpam-6820	466	3	]	]	PUNCT
ejpam-6820	466	4	a.	a.	NOUN
ejpam-6820	466	5	diop	diop	PROPN
ejpam-6820	466	6	,	,	PUNCT
ejpam-6820	466	7	g.	g.	PROPN
ejpam-6820	466	8	s.	s.	PROPN
ejpam-6820	466	9	f.	f.	PROPN
ejpam-6820	466	10	frederico	frederico	PROPN
ejpam-6820	466	11	,	,	PUNCT
ejpam-6820	466	12	and	and	CCONJ
ejpam-6820	466	13	j.	j.	PROPN
ejpam-6820	466	14	v.	v.	PROPN
ejpam-6820	466	15	c.	c.	PROPN
ejpam-6820	466	16	sousa	sousa	PROPN
ejpam-6820	466	17	.	.	PUNCT
ejpam-6820	467	1	on	on	ADP
ejpam-6820	467	2	controllability	controllability	NOUN
ejpam-6820	467	3	for	for	ADP
ejpam-6820	467	4	a	a	DET
ejpam-6820	467	5	class	class	NOUN
ejpam-6820	467	6	of	of	ADP
ejpam-6820	467	7	m.	m.	NOUN
ejpam-6820	467	8	lavanya	lavanya	PROPN
ejpam-6820	467	9	et	et	PROPN
ejpam-6820	467	10	al	al	PROPN
ejpam-6820	467	11	.	.	PUNCT
ejpam-6820	467	12	/	/	SYM
ejpam-6820	467	13	eur	eur	PROPN
ejpam-6820	467	14	.	.	PUNCT
ejpam-6820	468	1	j.	j.	PROPN
ejpam-6820	468	2	pure	pure	PROPN
ejpam-6820	468	3	appl	appl	PROPN
ejpam-6820	468	4	.	.	PROPN
ejpam-6820	468	5	math	math	PROPN
ejpam-6820	468	6	,	,	PUNCT
ejpam-6820	468	7	18	18	NUM
ejpam-6820	468	8	(	(	PUNCT
ejpam-6820	468	9	4	4	NUM
ejpam-6820	468	10	)	)	PUNCT
ejpam-6820	468	11	(	(	PUNCT
ejpam-6820	468	12	2025	2025	NUM
ejpam-6820	468	13	)	)	PUNCT
ejpam-6820	468	14	,	,	PUNCT
ejpam-6820	468	15	6820	6820	NUM
ejpam-6820	468	16	20	20	NUM
ejpam-6820	468	17	of	of	ADP
ejpam-6820	468	18	20	20	NUM
ejpam-6820	468	19	multi	multi	ADJ
ejpam-6820	468	20	-	-	ADJ
ejpam-6820	468	21	term	term	ADJ
ejpam-6820	468	22	time	time	NOUN
ejpam-6820	468	23	-	-	PUNCT
ejpam-6820	468	24	fractional	fractional	ADJ
ejpam-6820	468	25	random	random	ADJ
ejpam-6820	468	26	differential	differential	NOUN
ejpam-6820	468	27	equations	equation	NOUN
ejpam-6820	468	28	with	with	ADP
ejpam-6820	468	29	state	state	NOUN
ejpam-6820	468	30	-	-	PUNCT
ejpam-6820	468	31	dependent	dependent	ADJ
ejpam-6820	468	32	delay	delay	NOUN
ejpam-6820	468	33	.	.	PUNCT
ejpam-6820	469	1	annals	annal	NOUN
ejpam-6820	469	2	of	of	ADP
ejpam-6820	469	3	functional	functional	ADJ
ejpam-6820	469	4	analysis	analysis	NOUN
ejpam-6820	469	5	,	,	PUNCT
ejpam-6820	469	6	13(20	13(20	NUM
ejpam-6820	469	7	)	)	PUNCT
ejpam-6820	469	8	,	,	PUNCT
ejpam-6820	469	9	2022	2022	NUM
ejpam-6820	469	10	.	.	PUNCT
ejpam-6820	470	1	[	[	X
ejpam-6820	470	2	9	9	NUM
ejpam-6820	470	3	]	]	PUNCT
ejpam-6820	470	4	a.	a.	NOUN
ejpam-6820	470	5	upadhayay	upadhayay	NOUN
ejpam-6820	470	6	and	and	CCONJ
ejpam-6820	470	7	s.	s.	PROPN
ejpam-6820	470	8	kumar	kumar	PROPN
ejpam-6820	470	9	.	.	PUNCT
ejpam-6820	471	1	the	the	DET
ejpam-6820	471	2	exponential	exponential	ADJ
ejpam-6820	471	3	nature	nature	NOUN
ejpam-6820	471	4	and	and	CCONJ
ejpam-6820	471	5	solvability	solvability	NOUN
ejpam-6820	471	6	of	of	ADP
ejpam-6820	471	7	stochastic	stochastic	ADJ
ejpam-6820	471	8	multi	multi	ADJ
ejpam-6820	471	9	-	-	ADJ
ejpam-6820	471	10	term	term	ADJ
ejpam-6820	471	11	fractional	fractional	ADJ
ejpam-6820	471	12	differential	differential	ADJ
ejpam-6820	471	13	inclusions	inclusion	NOUN
ejpam-6820	471	14	with	with	ADP
ejpam-6820	471	15	clarke	clarke	PROPN
ejpam-6820	471	16	’s	’s	PART
ejpam-6820	471	17	subdifferential	subdifferential	PROPN
ejpam-6820	471	18	.	.	PUNCT
ejpam-6820	472	1	chaos	chaos	NOUN
ejpam-6820	472	2	,	,	PUNCT
ejpam-6820	472	3	solitons	soliton	NOUN
ejpam-6820	472	4	and	and	CCONJ
ejpam-6820	472	5	fractals	fractal	NOUN
ejpam-6820	472	6	,	,	PUNCT
ejpam-6820	472	7	168:113202	168:113202	NUM
ejpam-6820	472	8	,	,	PUNCT
ejpam-6820	472	9	2023	2023	NUM
ejpam-6820	472	10	.	.	PUNCT
ejpam-6820	473	1	[	[	X
ejpam-6820	473	2	10	10	NUM
ejpam-6820	473	3	]	]	X
ejpam-6820	473	4	g.	g.	PROPN
ejpam-6820	473	5	li	li	PROPN
ejpam-6820	473	6	,	,	PUNCT
ejpam-6820	473	7	y.	y.	PROPN
ejpam-6820	473	8	zhang	zhang	PROPN
ejpam-6820	473	9	,	,	PUNCT
ejpam-6820	473	10	y.	y.	PROPN
ejpam-6820	473	11	guan	guan	PROPN
ejpam-6820	473	12	,	,	PUNCT
ejpam-6820	473	13	and	and	CCONJ
ejpam-6820	473	14	w.	w.	PROPN
ejpam-6820	473	15	li	li	PROPN
ejpam-6820	473	16	.	.	PROPN
ejpam-6820	474	1	stability	stability	NOUN
ejpam-6820	474	2	analysis	analysis	NOUN
ejpam-6820	474	3	of	of	ADP
ejpam-6820	474	4	multi	multi	ADJ
ejpam-6820	474	5	-	-	ADJ
ejpam-6820	474	6	point	point	ADJ
ejpam-6820	474	7	boundary	boundary	ADJ
ejpam-6820	474	8	conditions	condition	NOUN
ejpam-6820	474	9	for	for	ADP
ejpam-6820	474	10	fractional	fractional	ADJ
ejpam-6820	474	11	differential	differential	ADJ
ejpam-6820	474	12	equation	equation	NOUN
ejpam-6820	474	13	with	with	ADP
ejpam-6820	474	14	non	non	ADJ
ejpam-6820	474	15	-	-	ADJ
ejpam-6820	474	16	instantaneous	instantaneous	ADJ
ejpam-6820	474	17	integral	integral	ADJ
ejpam-6820	474	18	impulse	impulse	NOUN
ejpam-6820	474	19	.	.	PUNCT
ejpam-6820	475	1	aims	aim	VERB
ejpam-6820	475	2	mathematics	mathematic	NOUN
ejpam-6820	475	3	,	,	PUNCT
ejpam-6820	475	4	20(4):7020–7041	20(4):7020–7041	NOUN
ejpam-6820	475	5	,	,	PUNCT
ejpam-6820	475	6	2023	2023	NUM
ejpam-6820	475	7	.	.	PUNCT
ejpam-6820	476	1	[	[	X
ejpam-6820	476	2	11	11	NUM
ejpam-6820	476	3	]	]	PUNCT
ejpam-6820	476	4	k.	k.	PROPN
ejpam-6820	476	5	kim	kim	PROPN
ejpam-6820	476	6	,	,	PUNCT
ejpam-6820	476	7	m.	m.	PROPN
ejpam-6820	476	8	r.	r.	PROPN
ejpam-6820	476	9	i.	i.	PROPN
ejpam-6820	476	10	,	,	PUNCT
ejpam-6820	476	11	k.	k.	PROPN
ejpam-6820	476	12	sin	sin	PROPN
ejpam-6820	476	13	,	,	PUNCT
ejpam-6820	476	14	k.	k.	PROPN
ejpam-6820	476	15	sok	sok	PROPN
ejpam-6820	476	16	,	,	PUNCT
ejpam-6820	476	17	and	and	CCONJ
ejpam-6820	476	18	s.	s.	PROPN
ejpam-6820	476	19	so	so	ADV
ejpam-6820	476	20	.	.	PUNCT
ejpam-6820	477	1	existence	existence	NOUN
ejpam-6820	477	2	of	of	ADP
ejpam-6820	477	3	solutions	solution	NOUN
ejpam-6820	477	4	for	for	ADP
ejpam-6820	477	5	a	a	DET
ejpam-6820	477	6	class	class	NOUN
ejpam-6820	477	7	of	of	ADP
ejpam-6820	477	8	nonlinear	nonlinear	ADJ
ejpam-6820	477	9	multi	multi	ADJ
ejpam-6820	477	10	-	-	ADJ
ejpam-6820	477	11	term	term	ADJ
ejpam-6820	477	12	fractional	fractional	ADJ
ejpam-6820	477	13	differential	differential	NOUN
ejpam-6820	477	14	equation	equation	NOUN
ejpam-6820	477	15	with	with	ADP
ejpam-6820	477	16	impulsive	impulsive	ADJ
ejpam-6820	477	17	and	and	CCONJ
ejpam-6820	477	18	integral	integral	ADJ
ejpam-6820	477	19	boundary	boundary	ADJ
ejpam-6820	477	20	conditions	condition	NOUN
ejpam-6820	477	21	.	.	PUNCT
ejpam-6820	478	1	research	research	NOUN
ejpam-6820	478	2	and	and	CCONJ
ejpam-6820	478	3	communications	communication	NOUN
ejpam-6820	478	4	in	in	ADP
ejpam-6820	478	5	mathematics	mathematic	NOUN
ejpam-6820	478	6	and	and	CCONJ
ejpam-6820	478	7	mathematical	mathematical	ADJ
ejpam-6820	478	8	sciences	science	NOUN
ejpam-6820	478	9	,	,	PUNCT
ejpam-6820	478	10	11(1):1–21	11(1):1–21	NUM
ejpam-6820	478	11	,	,	PUNCT
ejpam-6820	478	12	2019	2019	NUM
ejpam-6820	478	13	.	.	PUNCT
ejpam-6820	479	1	[	[	X
ejpam-6820	479	2	12	12	NUM
ejpam-6820	479	3	]	]	X
ejpam-6820	479	4	n.	n.	NOUN
ejpam-6820	479	5	hakkar	hakkar	PROPN
ejpam-6820	479	6	,	,	PUNCT
ejpam-6820	479	7	l.	l.	PROPN
ejpam-6820	479	8	muruganantham	muruganantham	PROPN
ejpam-6820	479	9	,	,	PUNCT
ejpam-6820	479	10	a.	a.	NOUN
ejpam-6820	479	11	debbouche	debbouche	PROPN
ejpam-6820	479	12	,	,	PUNCT
ejpam-6820	479	13	and	and	CCONJ
ejpam-6820	479	14	s.	s.	PROPN
ejpam-6820	479	15	vadivoo	vadivoo	PROPN
ejpam-6820	479	16	.	.	PUNCT
ejpam-6820	480	1	nonlinear	nonlinear	ADJ
ejpam-6820	480	2	fractional	fractional	ADJ
ejpam-6820	480	3	order	order	NOUN
ejpam-6820	480	4	neutral	neutral	ADJ
ejpam-6820	480	5	-	-	PUNCT
ejpam-6820	480	6	type	type	NOUN
ejpam-6820	480	7	stochastic	stochastic	ADJ
ejpam-6820	480	8	integro	integro	ADJ
ejpam-6820	480	9	-	-	PUNCT
ejpam-6820	480	10	differential	differential	NOUN
ejpam-6820	480	11	system	system	NOUN
ejpam-6820	480	12	with	with	ADP
ejpam-6820	480	13	rosenblatt	rosenblatt	PROPN
ejpam-6820	480	14	process	process	VERB
ejpam-6820	480	15	a	a	DET
ejpam-6820	480	16	controllability	controllability	NOUN
ejpam-6820	480	17	exploration	exploration	NOUN
ejpam-6820	480	18	.	.	PUNCT
ejpam-6820	481	1	proceedings	proceeding	NOUN
ejpam-6820	481	2	of	of	ADP
ejpam-6820	481	3	the	the	DET
ejpam-6820	481	4	institute	institute	NOUN
ejpam-6820	481	5	of	of	ADP
ejpam-6820	481	6	mathematics	mathematics	PROPN
ejpam-6820	481	7	and	and	CCONJ
ejpam-6820	481	8	mechanics	mechanic	NOUN
ejpam-6820	481	9	national	national	PROPN
ejpam-6820	481	10	academy	academy	PROPN
ejpam-6820	481	11	of	of	ADP
ejpam-6820	481	12	sciences	sciences	PROPN
ejpam-6820	481	13	of	of	ADP
ejpam-6820	481	14	azerbaijan	azerbaijan	PROPN
ejpam-6820	481	15	,	,	PUNCT
ejpam-6820	481	16	48:68–83	48:68–83	NUM
ejpam-6820	481	17	,	,	PUNCT
ejpam-6820	481	18	2022	2022	NUM
ejpam-6820	481	19	.	.	PUNCT
ejpam-6820	482	1	[	[	X
ejpam-6820	482	2	13	13	NUM
ejpam-6820	482	3	]	]	X
ejpam-6820	482	4	v.	v.	ADP
ejpam-6820	482	5	singh	singh	PROPN
ejpam-6820	482	6	and	and	CCONJ
ejpam-6820	482	7	d.	d.	PROPN
ejpam-6820	482	8	n.	n.	PROPN
ejpam-6820	482	9	pandey	pandey	PROPN
ejpam-6820	482	10	.	.	PUNCT
ejpam-6820	483	1	mild	mild	ADJ
ejpam-6820	483	2	solutions	solution	NOUN
ejpam-6820	483	3	for	for	ADP
ejpam-6820	483	4	multi	multi	ADJ
ejpam-6820	483	5	-	-	ADJ
ejpam-6820	483	6	term	term	ADJ
ejpam-6820	483	7	time	time	NOUN
ejpam-6820	483	8	-	-	PUNCT
ejpam-6820	483	9	fractional	fractional	ADJ
ejpam-6820	483	10	impulsive	impulsive	ADJ
ejpam-6820	483	11	differential	differential	ADJ
ejpam-6820	483	12	systems	system	NOUN
ejpam-6820	483	13	.	.	PUNCT
ejpam-6820	484	1	nonlinear	nonlinear	ADJ
ejpam-6820	484	2	dynamics	dynamic	NOUN
ejpam-6820	484	3	and	and	CCONJ
ejpam-6820	484	4	systems	system	NOUN
ejpam-6820	484	5	theory	theory	NOUN
ejpam-6820	484	6	,	,	PUNCT
ejpam-6820	484	7	18(3):307–318	18(3):307–318	PROPN
ejpam-6820	484	8	,	,	PUNCT
ejpam-6820	484	9	2018	2018	NUM
ejpam-6820	484	10	.	.	PUNCT
ejpam-6820	485	1	[	[	X
ejpam-6820	485	2	14	14	NUM
ejpam-6820	485	3	]	]	X
ejpam-6820	485	4	y.	y.	PROPN
ejpam-6820	485	5	tang	tang	PROPN
ejpam-6820	485	6	,	,	PUNCT
ejpam-6820	485	7	h.	h.	PROPN
ejpam-6820	485	8	gao	gao	PROPN
ejpam-6820	485	9	,	,	PUNCT
ejpam-6820	485	10	w.	w.	PROPN
ejpam-6820	485	11	zhang	zhang	PROPN
ejpam-6820	485	12	,	,	PUNCT
ejpam-6820	485	13	and	and	CCONJ
ejpam-6820	485	14	j.	j.	PROPN
ejpam-6820	485	15	kurths	kurths	PROPN
ejpam-6820	485	16	.	.	PUNCT
ejpam-6820	486	1	leader	leader	NOUN
ejpam-6820	486	2	-	-	PUNCT
ejpam-6820	486	3	following	follow	VERB
ejpam-6820	486	4	consensus	consensus	NOUN
ejpam-6820	486	5	of	of	ADP
ejpam-6820	486	6	a	a	DET
ejpam-6820	486	7	class	class	NOUN
ejpam-6820	486	8	of	of	ADP
ejpam-6820	486	9	stochastic	stochastic	NOUN
ejpam-6820	486	10	delayed	delay	VERB
ejpam-6820	486	11	multi	multi	ADJ
ejpam-6820	486	12	-	-	ADJ
ejpam-6820	486	13	agent	agent	ADJ
ejpam-6820	486	14	systems	system	NOUN
ejpam-6820	486	15	with	with	ADP
ejpam-6820	486	16	partial	partial	ADJ
ejpam-6820	486	17	mixed	mixed	ADJ
ejpam-6820	486	18	impulses	impulse	NOUN
ejpam-6820	486	19	.	.	PUNCT
ejpam-6820	487	1	automatica	automatica	PROPN
ejpam-6820	487	2	,	,	PUNCT
ejpam-6820	487	3	53:346–354	53:346–354	PROPN
ejpam-6820	487	4	,	,	PUNCT
ejpam-6820	487	5	2015	2015	NUM
ejpam-6820	487	6	.	.	PUNCT
ejpam-6820	488	1	[	[	X
ejpam-6820	488	2	15	15	NUM
ejpam-6820	488	3	]	]	PUNCT
ejpam-6820	488	4	z.	z.	PROPN
ejpam-6820	488	5	yan	yan	PROPN
ejpam-6820	488	6	and	and	CCONJ
ejpam-6820	488	7	f.	f.	PROPN
ejpam-6820	488	8	lu	lu	PROPN
ejpam-6820	488	9	.	.	PUNCT
ejpam-6820	488	10	approximate	approximate	ADJ
ejpam-6820	488	11	controllability	controllability	NOUN
ejpam-6820	488	12	of	of	ADP
ejpam-6820	488	13	a	a	DET
ejpam-6820	488	14	multi	multi	ADJ
ejpam-6820	488	15	-	-	ADJ
ejpam-6820	488	16	valued	value	VERB
ejpam-6820	488	17	fractional	fractional	ADJ
ejpam-6820	488	18	impulsive	impulsive	ADJ
ejpam-6820	488	19	stochastic	stochastic	ADJ
ejpam-6820	488	20	partial	partial	ADJ
ejpam-6820	488	21	integro	integro	ADJ
ejpam-6820	488	22	-	-	PUNCT
ejpam-6820	488	23	differential	differential	NOUN
ejpam-6820	488	24	equation	equation	NOUN
ejpam-6820	488	25	with	with	ADP
ejpam-6820	488	26	infinite	infinite	ADJ
ejpam-6820	488	27	delay	delay	NOUN
ejpam-6820	488	28	.	.	PUNCT
ejpam-6820	489	1	applied	apply	VERB
ejpam-6820	489	2	mathematics	mathematic	NOUN
ejpam-6820	489	3	and	and	CCONJ
ejpam-6820	489	4	computation	computation	NOUN
ejpam-6820	489	5	,	,	PUNCT
ejpam-6820	489	6	292(1):425–447	292(1):425–447	NUM
ejpam-6820	489	7	,	,	PUNCT
ejpam-6820	489	8	2017	2017	NUM
ejpam-6820	489	9	.	.	PUNCT
ejpam-6820	490	1	[	[	X
ejpam-6820	490	2	16	16	NUM
ejpam-6820	490	3	]	]	PUNCT
ejpam-6820	490	4	a.	a.	NOUN
ejpam-6820	490	5	debbouche	debbouche	PROPN
ejpam-6820	490	6	,	,	PUNCT
ejpam-6820	490	7	b.	b.	PROPN
ejpam-6820	490	8	s.	s.	PROPN
ejpam-6820	490	9	vadivoo	vadivoo	PROPN
ejpam-6820	490	10	,	,	PUNCT
ejpam-6820	490	11	v.	v.	PROPN
ejpam-6820	490	12	e.	e.	PROPN
ejpam-6820	490	13	fedorov	fedorov	PROPN
ejpam-6820	490	14	,	,	PUNCT
ejpam-6820	490	15	and	and	CCONJ
ejpam-6820	490	16	v.	v.	ADP
ejpam-6820	490	17	antonov	antonov	PROPN
ejpam-6820	490	18	.	.	PUNCT
ejpam-6820	491	1	controllability	controllability	NOUN
ejpam-6820	491	2	criteria	criterion	NOUN
ejpam-6820	491	3	for	for	ADP
ejpam-6820	491	4	nonlinear	nonlinear	ADJ
ejpam-6820	491	5	impulsive	impulsive	ADJ
ejpam-6820	491	6	fractional	fractional	ADJ
ejpam-6820	491	7	differential	differential	NOUN
ejpam-6820	491	8	systems	system	NOUN
ejpam-6820	491	9	with	with	ADP
ejpam-6820	491	10	distributed	distribute	VERB
ejpam-6820	491	11	delays	delay	NOUN
ejpam-6820	491	12	in	in	ADP
ejpam-6820	491	13	controls	control	NOUN
ejpam-6820	491	14	.	.	PUNCT
ejpam-6820	492	1	mathematical	mathematical	ADJ
ejpam-6820	492	2	and	and	CCONJ
ejpam-6820	492	3	computational	computational	ADJ
ejpam-6820	492	4	applications	application	NOUN
ejpam-6820	492	5	,	,	PUNCT
ejpam-6820	492	6	28(1):13	28(1):13	NUM
ejpam-6820	492	7	,	,	PUNCT
ejpam-6820	492	8	2023	2023	NUM
ejpam-6820	492	9	.	.	PUNCT
ejpam-6820	493	1	[	[	X
ejpam-6820	493	2	17	17	NUM
ejpam-6820	493	3	]	]	PUNCT
ejpam-6820	493	4	t.	t.	PROPN
ejpam-6820	493	5	t.	t.	PROPN
ejpam-6820	493	6	soong	soong	PROPN
ejpam-6820	493	7	.	.	PUNCT
ejpam-6820	494	1	stochastic	stochastic	ADJ
ejpam-6820	494	2	stability	stability	NOUN
ejpam-6820	494	3	.	.	PUNCT
ejpam-6820	495	1	mathematics	mathematic	NOUN
ejpam-6820	495	2	in	in	ADP
ejpam-6820	495	3	science	science	NOUN
ejpam-6820	495	4	and	and	CCONJ
ejpam-6820	495	5	engineering	engineering	NOUN
ejpam-6820	495	6	.	.	PUNCT
ejpam-6820	496	1	1973	1973	NUM
ejpam-6820	496	2	.	.	PUNCT
ejpam-6820	497	1	[	[	X
ejpam-6820	497	2	18	18	NUM
ejpam-6820	497	3	]	]	PUNCT
ejpam-6820	497	4	s.	s.	PROPN
ejpam-6820	497	5	h.	h.	PROPN
ejpam-6820	497	6	kim	kim	PROPN
ejpam-6820	497	7	.	.	PUNCT
ejpam-6820	498	1	stochastic	stochastic	ADJ
ejpam-6820	498	2	stability	stability	NOUN
ejpam-6820	498	3	and	and	CCONJ
ejpam-6820	498	4	stabilization	stabilization	NOUN
ejpam-6820	498	5	conditions	condition	NOUN
ejpam-6820	498	6	of	of	ADP
ejpam-6820	498	7	semi	semi	ADJ
ejpam-6820	498	8	markovian	markovian	PROPN
ejpam-6820	498	9	jump	jump	NOUN
ejpam-6820	498	10	systems	system	NOUN
ejpam-6820	498	11	with	with	ADP
ejpam-6820	498	12	mode	mode	NOUN
ejpam-6820	498	13	transition	transition	NOUN
ejpam-6820	498	14	-	-	PUNCT
ejpam-6820	498	15	dependent	dependent	ADJ
ejpam-6820	498	16	sojourn	sojourn	NOUN
ejpam-6820	498	17	-	-	PUNCT
ejpam-6820	498	18	time	time	NOUN
ejpam-6820	498	19	distributions	distribution	NOUN
ejpam-6820	498	20	.	.	PUNCT
ejpam-6820	499	1	information	information	NOUN
ejpam-6820	499	2	sciences	science	NOUN
ejpam-6820	499	3	,	,	PUNCT
ejpam-6820	499	4	pages	page	NOUN
ejpam-6820	499	5	314–324	314–324	NUM
ejpam-6820	499	6	,	,	PUNCT
ejpam-6820	499	7	2017	2017	NUM
ejpam-6820	499	8	.	.	PUNCT
ejpam-6820	500	1	[	[	X
ejpam-6820	500	2	19	19	NUM
ejpam-6820	500	3	]	]	X
ejpam-6820	500	4	g.	g.	PROPN
ejpam-6820	500	5	arthi	arthi	PROPN
ejpam-6820	500	6	,	,	PUNCT
ejpam-6820	500	7	r.	r.	PROPN
ejpam-6820	500	8	sivasangari	sivasangari	PROPN
ejpam-6820	500	9	,	,	PUNCT
ejpam-6820	500	10	and	and	CCONJ
ejpam-6820	500	11	yong	yong	PROPN
ejpam-6820	500	12	-	-	PUNCT
ejpam-6820	500	13	kim	kim	PROPN
ejpam-6820	500	14	.	.	PUNCT
ejpam-6820	501	1	existence	existence	NOUN
ejpam-6820	501	2	and	and	CCONJ
ejpam-6820	501	3	controllability	controllability	NOUN
ejpam-6820	501	4	for	for	ADP
ejpam-6820	501	5	impulsive	impulsive	ADJ
ejpam-6820	501	6	fractional	fractional	ADJ
ejpam-6820	501	7	stochastic	stochastic	ADJ
ejpam-6820	501	8	evolution	evolution	NOUN
ejpam-6820	501	9	systems	system	NOUN
ejpam-6820	501	10	with	with	ADP
ejpam-6820	501	11	state	state	NOUN
ejpam-6820	501	12	-	-	PUNCT
ejpam-6820	501	13	dependent	dependent	ADJ
ejpam-6820	501	14	delay	delay	NOUN
ejpam-6820	501	15	.	.	PUNCT
ejpam-6820	502	1	journal	journal	NOUN
ejpam-6820	502	2	of	of	ADP
ejpam-6820	502	3	applied	apply	VERB
ejpam-6820	502	4	analysis	analysis	NOUN
ejpam-6820	502	5	and	and	CCONJ
ejpam-6820	502	6	computation	computation	NOUN
ejpam-6820	502	7	,	,	PUNCT
ejpam-6820	502	8	13(1):95–115	13(1):95–115	NUM
ejpam-6820	502	9	,	,	PUNCT
ejpam-6820	502	10	2023	2023	NUM
ejpam-6820	502	11	.	.	PUNCT
ejpam-6820	503	1	[	[	X
ejpam-6820	503	2	20	20	NUM
ejpam-6820	503	3	]	]	PUNCT
ejpam-6820	503	4	r.	r.	PROPN
ejpam-6820	503	5	mabel	mabel	PROPN
ejpam-6820	503	6	lizzy	lizzy	PROPN
ejpam-6820	503	7	,	,	PUNCT
ejpam-6820	503	8	k.	k.	PROPN
ejpam-6820	503	9	balachandran	balachandran	PROPN
ejpam-6820	503	10	,	,	PUNCT
ejpam-6820	503	11	and	and	CCONJ
ejpam-6820	503	12	j.	j.	PROPN
ejpam-6820	503	13	j.	j.	PROPN
ejpam-6820	503	14	trujillo	trujillo	PROPN
ejpam-6820	503	15	.	.	PUNCT
ejpam-6820	504	1	controllability	controllability	NOUN
ejpam-6820	504	2	of	of	ADP
ejpam-6820	504	3	nonlinear	nonlinear	ADJ
ejpam-6820	504	4	stochastic	stochastic	ADJ
ejpam-6820	504	5	neutral	neutral	ADJ
ejpam-6820	504	6	fractional	fractional	ADJ
ejpam-6820	504	7	dynamical	dynamical	ADJ
ejpam-6820	504	8	systems	system	NOUN
ejpam-6820	504	9	.	.	PUNCT
ejpam-6820	505	1	nonlinear	nonlinear	ADJ
ejpam-6820	505	2	analysis	analysis	NOUN
ejpam-6820	505	3	:	:	PUNCT
ejpam-6820	505	4	modelling	modelling	NOUN
ejpam-6820	505	5	and	and	CCONJ
ejpam-6820	505	6	control	control	NOUN
ejpam-6820	505	7	,	,	PUNCT
ejpam-6820	505	8	22(5):702–718	22(5):702–718	PROPN
ejpam-6820	505	9	,	,	PUNCT
ejpam-6820	505	10	2017	2017	NUM
ejpam-6820	505	11	.	.	PUNCT
ejpam-6820	506	1	[	[	X
ejpam-6820	506	2	21	21	NUM
ejpam-6820	506	3	]	]	X
ejpam-6820	506	4	d.	d.	PROPN
ejpam-6820	506	5	r.	r.	PROPN
ejpam-6820	506	6	smart	smart	PROPN
ejpam-6820	506	7	.	.	PUNCT
ejpam-6820	507	1	fixed	fix	VERB
ejpam-6820	507	2	point	point	NOUN
ejpam-6820	507	3	theorems	theorem	NOUN
ejpam-6820	507	4	.	.	PUNCT
ejpam-6820	507	5	cup	cup	PROPN
ejpam-6820	507	6	archive	archive	PROPN
ejpam-6820	507	7	.	.	PUNCT
ejpam-6820	508	1	cambridge	cambridge	PROPN
ejpam-6820	508	2	university	university	PROPN
ejpam-6820	508	3	press	press	PROPN
ejpam-6820	508	4	,	,	PUNCT
ejpam-6820	508	5	london	london	PROPN
ejpam-6820	508	6	,	,	PUNCT
ejpam-6820	508	7	1980	1980	NUM
ejpam-6820	508	8	.	.	PUNCT