id	sid	tid	token	lemma	pos
ejpam-6467	1	1	european	european	PROPN
ejpam-6467	1	2	journal	journal	PROPN
ejpam-6467	1	3	of	of	ADP
ejpam-6467	1	4	pure	pure	ADJ
ejpam-6467	1	5	and	and	CCONJ
ejpam-6467	1	6	applied	applied	ADJ
ejpam-6467	1	7	mathematics	mathematic	NOUN
ejpam-6467	1	8	2025	2025	NUM
ejpam-6467	1	9	,	,	PUNCT
ejpam-6467	1	10	vol	vol	NOUN
ejpam-6467	1	11	.	.	PROPN
ejpam-6467	1	12	18	18	NUM
ejpam-6467	1	13	,	,	PUNCT
ejpam-6467	1	14	issue	issue	NOUN
ejpam-6467	1	15	3	3	NUM
ejpam-6467	1	16	,	,	PUNCT
ejpam-6467	1	17	article	article	NOUN
ejpam-6467	1	18	number	number	NOUN
ejpam-6467	1	19	6467	6467	NUM
ejpam-6467	1	20	issn	issn	PROPN
ejpam-6467	1	21	1307	1307	NUM
ejpam-6467	1	22	-	-	SYM
ejpam-6467	1	23	5543	5543	NUM
ejpam-6467	1	24	–	–	PUNCT
ejpam-6467	1	25	ejpam.com	ejpam.com	X
ejpam-6467	1	26	published	publish	VERB
ejpam-6467	1	27	by	by	ADP
ejpam-6467	1	28	new	new	PROPN
ejpam-6467	1	29	york	york	PROPN
ejpam-6467	1	30	business	business	PROPN
ejpam-6467	1	31	global	global	PROPN
ejpam-6467	1	32	a	a	DET
ejpam-6467	1	33	novel	novel	NOUN
ejpam-6467	1	34	of	of	ADP
ejpam-6467	1	35	ω	ω	ADJ
ejpam-6467	1	36	-	-	ADJ
ejpam-6467	1	37	proportional	proportional	ADJ
ejpam-6467	1	38	fractional	fractional	ADJ
ejpam-6467	1	39	integrals	integral	NOUN
ejpam-6467	1	40	of	of	ADP
ejpam-6467	1	41	a	a	DET
ejpam-6467	1	42	function	function	NOUN
ejpam-6467	1	43	with	with	ADP
ejpam-6467	1	44	respect	respect	NOUN
ejpam-6467	1	45	to	to	ADP
ejpam-6467	1	46	another	another	DET
ejpam-6467	1	47	function	function	NOUN
ejpam-6467	1	48	jamshed	jamshe	VERB
ejpam-6467	1	49	nasir1	nasir1	PROPN
ejpam-6467	1	50	,	,	PUNCT
ejpam-6467	1	51	haitham	haitham	PROPN
ejpam-6467	1	52	qawaqneh2	qawaqneh2	NOUN
ejpam-6467	1	53	,	,	PUNCT
ejpam-6467	1	54	hassen	hassen	PROPN
ejpam-6467	1	55	aydi3,4,∗	aydi3,4,∗	ADJ
ejpam-6467	1	56	1	1	NUM
ejpam-6467	1	57	department	department	NOUN
ejpam-6467	1	58	of	of	ADP
ejpam-6467	1	59	mathematics	mathematic	NOUN
ejpam-6467	1	60	and	and	CCONJ
ejpam-6467	1	61	statistics	statistic	NOUN
ejpam-6467	1	62	,	,	PUNCT
ejpam-6467	1	63	virtual	virtual	ADJ
ejpam-6467	1	64	university	university	NOUN
ejpam-6467	1	65	of	of	ADP
ejpam-6467	1	66	pakistan	pakistan	PROPN
ejpam-6467	1	67	,	,	PUNCT
ejpam-6467	1	68	lahore	lahore	NOUN
ejpam-6467	1	69	campus	campus	NOUN
ejpam-6467	1	70	,	,	PUNCT
ejpam-6467	1	71	54000	54000	NUM
ejpam-6467	1	72	,	,	PUNCT
ejpam-6467	1	73	pakistan	pakistan	PROPN
ejpam-6467	1	74	2	2	NUM
ejpam-6467	1	75	al	al	PROPN
ejpam-6467	1	76	-	-	PUNCT
ejpam-6467	1	77	zaytoonah	zaytoonah	PROPN
ejpam-6467	1	78	university	university	PROPN
ejpam-6467	1	79	of	of	ADP
ejpam-6467	1	80	jordan	jordan	PROPN
ejpam-6467	1	81	,	,	PUNCT
ejpam-6467	1	82	amman	amman	PROPN
ejpam-6467	1	83	11733	11733	NUM
ejpam-6467	1	84	,	,	PUNCT
ejpam-6467	1	85	jordan	jordan	PROPN
ejpam-6467	1	86	3	3	PROPN
ejpam-6467	1	87	institut	institut	PROPN
ejpam-6467	1	88	supérieur	supérieur	PROPN
ejpam-6467	1	89	d’informatique	d’informatique	PROPN
ejpam-6467	1	90	et	et	NOUN
ejpam-6467	1	91	des	des	X
ejpam-6467	1	92	technologies	technologies	PROPN
ejpam-6467	1	93	de	de	X
ejpam-6467	1	94	communication	communication	NOUN
ejpam-6467	1	95	,	,	PUNCT
ejpam-6467	1	96	université	université	ADJ
ejpam-6467	1	97	de	de	X
ejpam-6467	1	98	sousse	sousse	PROPN
ejpam-6467	1	99	,	,	PUNCT
ejpam-6467	1	100	h.	h.	PROPN
ejpam-6467	1	101	sousse	sousse	PROPN
ejpam-6467	1	102	4000	4000	NUM
ejpam-6467	1	103	,	,	PUNCT
ejpam-6467	1	104	tunisia	tunisia	PROPN
ejpam-6467	1	105	4	4	NUM
ejpam-6467	1	106	department	department	NOUN
ejpam-6467	1	107	of	of	ADP
ejpam-6467	1	108	mathematics	mathematic	NOUN
ejpam-6467	1	109	and	and	CCONJ
ejpam-6467	1	110	applied	apply	VERB
ejpam-6467	1	111	mathematics	mathematic	NOUN
ejpam-6467	1	112	,	,	PUNCT
ejpam-6467	1	113	sefako	sefako	VERB
ejpam-6467	1	114	makgatho	makgatho	PROPN
ejpam-6467	1	115	health	health	PROPN
ejpam-6467	1	116	sciences	sciences	PROPN
ejpam-6467	1	117	university	university	PROPN
ejpam-6467	1	118	,	,	PUNCT
ejpam-6467	1	119	ga	ga	PROPN
ejpam-6467	1	120	-	-	NOUN
ejpam-6467	1	121	rankuwa	rankuwa	PROPN
ejpam-6467	1	122	,	,	PUNCT
ejpam-6467	1	123	south	south	PROPN
ejpam-6467	1	124	africa	africa	PROPN
ejpam-6467	1	125	abstract	abstract	PROPN
ejpam-6467	1	126	.	.	PUNCT
ejpam-6467	2	1	this	this	DET
ejpam-6467	2	2	paper	paper	NOUN
ejpam-6467	2	3	explores	explore	VERB
ejpam-6467	2	4	a	a	DET
ejpam-6467	2	5	key	key	ADJ
ejpam-6467	2	6	topic	topic	NOUN
ejpam-6467	2	7	in	in	ADP
ejpam-6467	2	8	fractional	fractional	ADJ
ejpam-6467	2	9	calculus	calculus	NOUN
ejpam-6467	2	10	,	,	PUNCT
ejpam-6467	2	11	which	which	PRON
ejpam-6467	2	12	is	be	AUX
ejpam-6467	2	13	the	the	DET
ejpam-6467	2	14	sophisticated	sophisticated	ADJ
ejpam-6467	2	15	idea	idea	NOUN
ejpam-6467	2	16	of	of	ADP
ejpam-6467	2	17	proportional	proportional	ADJ
ejpam-6467	2	18	fractional	fractional	ADJ
ejpam-6467	2	19	integrals	integral	NOUN
ejpam-6467	2	20	with	with	ADP
ejpam-6467	2	21	regard	regard	NOUN
ejpam-6467	2	22	to	to	ADP
ejpam-6467	2	23	another	another	DET
ejpam-6467	2	24	function	function	NOUN
ejpam-6467	2	25	.	.	PUNCT
ejpam-6467	3	1	our	our	PRON
ejpam-6467	3	2	focus	focus	NOUN
ejpam-6467	3	3	is	be	AUX
ejpam-6467	3	4	on	on	ADP
ejpam-6467	3	5	synchronous	synchronous	ADJ
ejpam-6467	3	6	,	,	PUNCT
ejpam-6467	3	7	monotonic	monotonic	ADJ
ejpam-6467	3	8	,	,	PUNCT
ejpam-6467	3	9	and	and	CCONJ
ejpam-6467	3	10	bounded	bound	VERB
ejpam-6467	3	11	functions	function	NOUN
ejpam-6467	3	12	.	.	PUNCT
ejpam-6467	4	1	we	we	PRON
ejpam-6467	4	2	investigate	investigate	VERB
ejpam-6467	4	3	the	the	DET
ejpam-6467	4	4	mathematical	mathematical	ADJ
ejpam-6467	4	5	features	feature	NOUN
ejpam-6467	4	6	and	and	CCONJ
ejpam-6467	4	7	theoretical	theoretical	ADJ
ejpam-6467	4	8	underpinnings	underpinning	NOUN
ejpam-6467	4	9	of	of	ADP
ejpam-6467	4	10	these	these	DET
ejpam-6467	4	11	integrals	integral	NOUN
ejpam-6467	4	12	.	.	PUNCT
ejpam-6467	5	1	the	the	DET
ejpam-6467	5	2	paper	paper	NOUN
ejpam-6467	5	3	sheds	shed	VERB
ejpam-6467	5	4	fresh	fresh	ADJ
ejpam-6467	5	5	information	information	NOUN
ejpam-6467	5	6	on	on	ADP
ejpam-6467	5	7	the	the	DET
ejpam-6467	5	8	behavior	behavior	NOUN
ejpam-6467	5	9	and	and	CCONJ
ejpam-6467	5	10	uses	use	NOUN
ejpam-6467	5	11	of	of	ADP
ejpam-6467	5	12	fractional	fractional	ADJ
ejpam-6467	5	13	integrals	integral	NOUN
ejpam-6467	5	14	by	by	ADP
ejpam-6467	5	15	concentrating	concentrate	VERB
ejpam-6467	5	16	on	on	ADP
ejpam-6467	5	17	these	these	DET
ejpam-6467	5	18	particular	particular	ADJ
ejpam-6467	5	19	types	type	NOUN
ejpam-6467	5	20	of	of	ADP
ejpam-6467	5	21	functions	function	NOUN
ejpam-6467	5	22	,	,	PUNCT
ejpam-6467	5	23	underscoring	underscore	VERB
ejpam-6467	5	24	their	their	PRON
ejpam-6467	5	25	potential	potential	NOUN
ejpam-6467	5	26	for	for	ADP
ejpam-6467	5	27	modeling	model	VERB
ejpam-6467	5	28	intricate	intricate	ADJ
ejpam-6467	5	29	systems	system	NOUN
ejpam-6467	5	30	and	and	CCONJ
ejpam-6467	5	31	processes	process	NOUN
ejpam-6467	5	32	.	.	PUNCT
ejpam-6467	6	1	the	the	DET
ejpam-6467	6	2	findings	finding	NOUN
ejpam-6467	6	3	provide	provide	VERB
ejpam-6467	6	4	new	new	ADJ
ejpam-6467	6	5	approaches	approach	NOUN
ejpam-6467	6	6	for	for	ADP
ejpam-6467	6	7	future	future	ADJ
ejpam-6467	6	8	study	study	NOUN
ejpam-6467	6	9	and	and	CCONJ
ejpam-6467	6	10	useful	useful	ADJ
ejpam-6467	6	11	applications	application	NOUN
ejpam-6467	6	12	,	,	PUNCT
ejpam-6467	6	13	expanding	expand	VERB
ejpam-6467	6	14	our	our	PRON
ejpam-6467	6	15	grasp	grasp	NOUN
ejpam-6467	6	16	of	of	ADP
ejpam-6467	6	17	fractional	fractional	ADJ
ejpam-6467	6	18	calculus	calculus	NOUN
ejpam-6467	6	19	.	.	PUNCT
ejpam-6467	7	1	2020	2020	NUM
ejpam-6467	7	2	mathematics	mathematic	NOUN
ejpam-6467	7	3	subject	subject	NOUN
ejpam-6467	7	4	classifications	classification	NOUN
ejpam-6467	7	5	:	:	PUNCT
ejpam-6467	7	6	26d15	26d15	NUM
ejpam-6467	7	7	,	,	PUNCT
ejpam-6467	7	8	26d51	26d51	NUM
ejpam-6467	7	9	,	,	PUNCT
ejpam-6467	7	10	26d07	26d07	NUM
ejpam-6467	7	11	,	,	PUNCT
ejpam-6467	7	12	26d10	26d10	NUM
ejpam-6467	7	13	key	key	ADJ
ejpam-6467	7	14	words	word	NOUN
ejpam-6467	7	15	and	and	CCONJ
ejpam-6467	7	16	phrases	phrase	NOUN
ejpam-6467	7	17	:	:	PUNCT
ejpam-6467	7	18	proportional	proportional	ADJ
ejpam-6467	7	19	fractional	fractional	ADJ
ejpam-6467	7	20	integral	integral	ADJ
ejpam-6467	7	21	,	,	PUNCT
ejpam-6467	7	22	ω	ω	ADJ
ejpam-6467	7	23	-	-	ADJ
ejpam-6467	7	24	proportional	proportional	ADJ
ejpam-6467	7	25	fractional	fractional	ADJ
ejpam-6467	7	26	integral	integral	NOUN
ejpam-6467	7	27	of	of	ADP
ejpam-6467	7	28	another	another	DET
ejpam-6467	7	29	function	function	NOUN
ejpam-6467	7	30	,	,	PUNCT
ejpam-6467	7	31	synchronous	synchronous	ADJ
ejpam-6467	7	32	functions	function	NOUN
ejpam-6467	7	33	,	,	PUNCT
ejpam-6467	7	34	monotone	monotone	ADJ
ejpam-6467	7	35	function	function	NOUN
ejpam-6467	7	36	1	1	NUM
ejpam-6467	7	37	.	.	PUNCT
ejpam-6467	8	1	introduction	introduction	NOUN
ejpam-6467	8	2	integral	integral	ADJ
ejpam-6467	8	3	inequalities	inequality	NOUN
ejpam-6467	8	4	are	be	AUX
ejpam-6467	8	5	fundamental	fundamental	ADJ
ejpam-6467	8	6	tools	tool	NOUN
ejpam-6467	8	7	in	in	ADP
ejpam-6467	8	8	mathematical	mathematical	ADJ
ejpam-6467	8	9	analysis	analysis	NOUN
ejpam-6467	8	10	,	,	PUNCT
ejpam-6467	8	11	as	as	SCONJ
ejpam-6467	8	12	they	they	PRON
ejpam-6467	8	13	provide	provide	VERB
ejpam-6467	8	14	valuable	valuable	ADJ
ejpam-6467	8	15	insights	insight	NOUN
ejpam-6467	8	16	into	into	ADP
ejpam-6467	8	17	the	the	DET
ejpam-6467	8	18	behavior	behavior	NOUN
ejpam-6467	8	19	of	of	ADP
ejpam-6467	8	20	a	a	DET
ejpam-6467	8	21	function	function	NOUN
ejpam-6467	8	22	’s	’s	PART
ejpam-6467	8	23	integral	integral	ADJ
ejpam-6467	8	24	—	—	PUNCT
ejpam-6467	8	25	especially	especially	ADV
ejpam-6467	8	26	when	when	SCONJ
ejpam-6467	8	27	exact	exact	ADJ
ejpam-6467	8	28	evaluation	evaluation	NOUN
ejpam-6467	8	29	is	be	AUX
ejpam-6467	8	30	difficult	difficult	ADJ
ejpam-6467	8	31	or	or	CCONJ
ejpam-6467	8	32	impossible	impossible	ADJ
ejpam-6467	8	33	.	.	PUNCT
ejpam-6467	9	1	common	common	ADJ
ejpam-6467	9	2	examples	example	NOUN
ejpam-6467	9	3	include	include	VERB
ejpam-6467	9	4	holder	holder	NOUN
ejpam-6467	9	5	’s	’s	PART
ejpam-6467	9	6	and	and	CCONJ
ejpam-6467	9	7	minkowski	minkowski	PROPN
ejpam-6467	9	8	’s	’s	PART
ejpam-6467	9	9	inequalities	inequality	NOUN
ejpam-6467	9	10	,	,	PUNCT
ejpam-6467	9	11	both	both	PRON
ejpam-6467	9	12	of	of	ADP
ejpam-6467	9	13	which	which	PRON
ejpam-6467	9	14	are	be	AUX
ejpam-6467	9	15	closely	closely	ADV
ejpam-6467	9	16	related	relate	VERB
ejpam-6467	9	17	to	to	ADP
ejpam-6467	9	18	lp	lp	NOUN
ejpam-6467	9	19	-	-	PUNCT
ejpam-6467	9	20	spaces	space	NOUN
ejpam-6467	9	21	and	and	CCONJ
ejpam-6467	9	22	norms	norm	NOUN
ejpam-6467	9	23	.	.	PUNCT
ejpam-6467	10	1	these	these	DET
ejpam-6467	10	2	inequalities	inequality	NOUN
ejpam-6467	10	3	play	play	VERB
ejpam-6467	10	4	a	a	DET
ejpam-6467	10	5	key	key	ADJ
ejpam-6467	10	6	role	role	NOUN
ejpam-6467	10	7	in	in	ADP
ejpam-6467	10	8	the	the	DET
ejpam-6467	10	9	study	study	NOUN
ejpam-6467	10	10	of	of	ADP
ejpam-6467	10	11	function	function	NOUN
ejpam-6467	10	12	sequences	sequence	NOUN
ejpam-6467	10	13	and	and	CCONJ
ejpam-6467	10	14	the	the	DET
ejpam-6467	10	15	stability	stability	NOUN
ejpam-6467	10	16	of	of	ADP
ejpam-6467	10	17	solutions	solution	NOUN
ejpam-6467	10	18	to	to	PART
ejpam-6467	10	19	differential	differential	VERB
ejpam-6467	10	20	equations	equation	NOUN
ejpam-6467	10	21	across	across	ADP
ejpam-6467	10	22	various	various	ADJ
ejpam-6467	10	23	fields	field	NOUN
ejpam-6467	10	24	.	.	PUNCT
ejpam-6467	11	1	by	by	ADP
ejpam-6467	11	2	establishing	establish	VERB
ejpam-6467	11	3	upper	upper	ADJ
ejpam-6467	11	4	and	and	CCONJ
ejpam-6467	11	5	lower	low	ADJ
ejpam-6467	11	6	bounds	bound	NOUN
ejpam-6467	11	7	,	,	PUNCT
ejpam-6467	11	8	integral	integral	ADJ
ejpam-6467	11	9	inequalities	inequality	NOUN
ejpam-6467	11	10	are	be	AUX
ejpam-6467	11	11	also	also	ADV
ejpam-6467	11	12	vital	vital	ADJ
ejpam-6467	11	13	in	in	ADP
ejpam-6467	11	14	solving	solve	VERB
ejpam-6467	11	15	optimization	optimization	NOUN
ejpam-6467	11	16	problems	problem	NOUN
ejpam-6467	11	17	,	,	PUNCT
ejpam-6467	11	18	see	see	VERB
ejpam-6467	11	19	(	(	PUNCT
ejpam-6467	11	20	[	[	X
ejpam-6467	11	21	1]-[8	1]-[8	X
ejpam-6467	11	22	]	]	X
ejpam-6467	11	23	)	)	PUNCT
ejpam-6467	11	24	.	.	PUNCT
ejpam-6467	12	1	the	the	DET
ejpam-6467	12	2	study	study	NOUN
ejpam-6467	12	3	of	of	ADP
ejpam-6467	12	4	differential	differential	ADJ
ejpam-6467	12	5	equations	equation	NOUN
ejpam-6467	12	6	,	,	PUNCT
ejpam-6467	12	7	functional	functional	ADJ
ejpam-6467	12	8	analysis	analysis	NOUN
ejpam-6467	12	9	,	,	PUNCT
ejpam-6467	12	10	and	and	CCONJ
ejpam-6467	12	11	probability	probability	NOUN
ejpam-6467	12	12	theory	theory	NOUN
ejpam-6467	12	13	all	all	PRON
ejpam-6467	12	14	depend	depend	VERB
ejpam-6467	12	15	on	on	ADP
ejpam-6467	12	16	integral	integral	ADJ
ejpam-6467	12	17	∗corresponding	∗corresponde	VERB
ejpam-6467	12	18	author	author	NOUN
ejpam-6467	12	19	.	.	PUNCT
ejpam-6467	13	1	doi	doi	NOUN
ejpam-6467	13	2	:	:	PUNCT
ejpam-6467	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6467	https://doi.org/10.29020/nybg.ejpam.v18i3.6467	ADJ
ejpam-6467	13	4	email	email	NOUN
ejpam-6467	13	5	addresses	address	NOUN
ejpam-6467	13	6	:	:	PUNCT
ejpam-6467	13	7	jamshed@vu.edu.pk	jamshed@vu.edu.pk	PROPN
ejpam-6467	13	8	(	(	PUNCT
ejpam-6467	13	9	j.	j.	PROPN
ejpam-6467	13	10	nasir	nasir	PROPN
ejpam-6467	13	11	)	)	PUNCT
ejpam-6467	13	12	,	,	PUNCT
ejpam-6467	13	13	h.alqawaqneh@zuj.edu.jo	h.alqawaqneh@zuj.edu.jo	PROPN
ejpam-6467	13	14	(	(	PUNCT
ejpam-6467	13	15	h.	h.	PROPN
ejpam-6467	13	16	qawaqneh	qawaqneh	PROPN
ejpam-6467	13	17	)	)	PUNCT
ejpam-6467	13	18	,	,	PUNCT
ejpam-6467	13	19	hassen.aydi@isima.rnu.tn	hassen.aydi@isima.rnu.tn	PROPN
ejpam-6467	13	20	(	(	PUNCT
ejpam-6467	13	21	h.	h.	PROPN
ejpam-6467	13	22	aydi	aydi	ADJ
ejpam-6467	13	23	)	)	PUNCT
ejpam-6467	13	24	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6467	13	25	1	1	NUM
ejpam-6467	13	26	copyright	copyright	NOUN
ejpam-6467	13	27	:	:	PUNCT
ejpam-6467	14	1	©	©	PROPN
ejpam-6467	14	2	2025	2025	NUM
ejpam-6467	14	3	the	the	DET
ejpam-6467	14	4	author(s	author(s	NOUN
ejpam-6467	14	5	)	)	PUNCT
ejpam-6467	14	6	.	.	PUNCT
ejpam-6467	15	1	(	(	PUNCT
ejpam-6467	15	2	cc	cc	NOUN
ejpam-6467	15	3	by	by	ADP
ejpam-6467	15	4	-	-	PUNCT
ejpam-6467	15	5	nc	nc	PROPN
ejpam-6467	15	6	4.0	4.0	NUM
ejpam-6467	15	7	)	)	PUNCT
ejpam-6467	15	8	j.	j.	PROPN
ejpam-6467	15	9	nasir	nasir	PROPN
ejpam-6467	15	10	,	,	PUNCT
ejpam-6467	15	11	h.	h.	PROPN
ejpam-6467	15	12	qawaqneh	qawaqneh	PROPN
ejpam-6467	15	13	,	,	PUNCT
ejpam-6467	15	14	h.	h.	PROPN
ejpam-6467	15	15	aydi	aydi	VERB
ejpam-6467	15	16	/	/	SYM
ejpam-6467	15	17	eur	eur	NOUN
ejpam-6467	15	18	.	.	PUNCT
ejpam-6467	16	1	j.	j.	PROPN
ejpam-6467	16	2	pure	pure	PROPN
ejpam-6467	16	3	appl	appl	PROPN
ejpam-6467	16	4	.	.	PROPN
ejpam-6467	16	5	math	math	PROPN
ejpam-6467	16	6	,	,	PUNCT
ejpam-6467	16	7	18	18	NUM
ejpam-6467	16	8	(	(	PUNCT
ejpam-6467	16	9	3	3	NUM
ejpam-6467	16	10	)	)	PUNCT
ejpam-6467	16	11	(	(	PUNCT
ejpam-6467	16	12	2025	2025	NUM
ejpam-6467	16	13	)	)	PUNCT
ejpam-6467	16	14	,	,	PUNCT
ejpam-6467	16	15	6467	6467	NUM
ejpam-6467	16	16	2	2	NUM
ejpam-6467	16	17	of	of	ADP
ejpam-6467	16	18	16	16	NUM
ejpam-6467	16	19	inequalities	inequality	NOUN
ejpam-6467	16	20	,	,	PUNCT
ejpam-6467	16	21	which	which	PRON
ejpam-6467	16	22	are	be	AUX
ejpam-6467	16	23	basic	basic	ADJ
ejpam-6467	16	24	tools	tool	NOUN
ejpam-6467	16	25	in	in	ADP
ejpam-6467	16	26	mathematical	mathematical	ADJ
ejpam-6467	16	27	analysis	analysis	NOUN
ejpam-6467	16	28	that	that	PRON
ejpam-6467	16	29	provide	provide	VERB
ejpam-6467	16	30	integrals	integral	NOUN
ejpam-6467	16	31	boundaries	boundary	NOUN
ejpam-6467	16	32	.	.	PUNCT
ejpam-6467	17	1	these	these	DET
ejpam-6467	17	2	inequalities	inequality	NOUN
ejpam-6467	17	3	,	,	PUNCT
ejpam-6467	17	4	which	which	PRON
ejpam-6467	17	5	frequently	frequently	ADV
ejpam-6467	17	6	involve	involve	VERB
ejpam-6467	17	7	requirements	requirement	NOUN
ejpam-6467	17	8	on	on	ADP
ejpam-6467	17	9	monotonicity	monotonicity	NOUN
ejpam-6467	17	10	,	,	PUNCT
ejpam-6467	17	11	convexity	convexity	NOUN
ejpam-6467	17	12	,	,	PUNCT
ejpam-6467	17	13	or	or	CCONJ
ejpam-6467	17	14	other	other	ADJ
ejpam-6467	17	15	functional	functional	ADJ
ejpam-6467	17	16	features	feature	NOUN
ejpam-6467	17	17	,	,	PUNCT
ejpam-6467	17	18	establish	establish	VERB
ejpam-6467	17	19	links	link	NOUN
ejpam-6467	17	20	between	between	ADP
ejpam-6467	17	21	integrals	integral	NOUN
ejpam-6467	17	22	of	of	ADP
ejpam-6467	17	23	functions	function	NOUN
ejpam-6467	17	24	.	.	PUNCT
ejpam-6467	18	1	hölder	hölder	NOUN
ejpam-6467	18	2	’s	’s	PART
ejpam-6467	18	3	,	,	PUNCT
ejpam-6467	18	4	minkowski	minkowski	PROPN
ejpam-6467	18	5	’s	’s	PART
ejpam-6467	18	6	,	,	PUNCT
ejpam-6467	18	7	and	and	CCONJ
ejpam-6467	18	8	gronwall	gronwall	PROPN
ejpam-6467	18	9	’s	’s	PART
ejpam-6467	18	10	inequalities	inequality	NOUN
ejpam-6467	18	11	are	be	AUX
ejpam-6467	18	12	classical	classical	ADJ
ejpam-6467	18	13	examples	example	NOUN
ejpam-6467	18	14	that	that	PRON
ejpam-6467	18	15	are	be	AUX
ejpam-6467	18	16	essential	essential	ADJ
ejpam-6467	18	17	for	for	ADP
ejpam-6467	18	18	estimating	estimate	VERB
ejpam-6467	18	19	solutions	solution	NOUN
ejpam-6467	18	20	and	and	CCONJ
ejpam-6467	18	21	demonstrating	demonstrate	VERB
ejpam-6467	18	22	the	the	DET
ejpam-6467	18	23	existence	existence	NOUN
ejpam-6467	18	24	and	and	CCONJ
ejpam-6467	18	25	uniqueness	uniqueness	NOUN
ejpam-6467	18	26	of	of	ADP
ejpam-6467	18	27	a	a	DET
ejpam-6467	18	28	variety	variety	NOUN
ejpam-6467	18	29	of	of	ADP
ejpam-6467	18	30	mathematical	mathematical	ADJ
ejpam-6467	18	31	problems	problem	NOUN
ejpam-6467	18	32	.	.	PUNCT
ejpam-6467	19	1	in	in	ADP
ejpam-6467	19	2	addition	addition	NOUN
ejpam-6467	19	3	to	to	ADP
ejpam-6467	19	4	helping	help	VERB
ejpam-6467	19	5	with	with	ADP
ejpam-6467	19	6	theoretical	theoretical	ADJ
ejpam-6467	19	7	research	research	NOUN
ejpam-6467	19	8	,	,	PUNCT
ejpam-6467	19	9	integral	integral	ADJ
ejpam-6467	19	10	inequalities	inequality	NOUN
ejpam-6467	19	11	have	have	VERB
ejpam-6467	19	12	many	many	ADJ
ejpam-6467	19	13	uses	use	NOUN
ejpam-6467	19	14	in	in	ADP
ejpam-6467	19	15	fields	field	NOUN
ejpam-6467	19	16	like	like	ADP
ejpam-6467	19	17	economics	economic	NOUN
ejpam-6467	19	18	,	,	PUNCT
ejpam-6467	19	19	engineering	engineering	NOUN
ejpam-6467	19	20	,	,	PUNCT
ejpam-6467	19	21	and	and	CCONJ
ejpam-6467	19	22	physics	physics	NOUN
ejpam-6467	19	23	where	where	SCONJ
ejpam-6467	19	24	integral	integral	ADJ
ejpam-6467	19	25	expressions	expression	NOUN
ejpam-6467	19	26	naturally	naturally	ADV
ejpam-6467	19	27	occur	occur	VERB
ejpam-6467	19	28	in	in	ADP
ejpam-6467	19	29	modeling	modeling	NOUN
ejpam-6467	19	30	and	and	CCONJ
ejpam-6467	19	31	analysis	analysis	NOUN
ejpam-6467	19	32	.	.	PUNCT
ejpam-6467	20	1	for	for	ADP
ejpam-6467	20	2	more	more	ADJ
ejpam-6467	20	3	details	detail	NOUN
ejpam-6467	20	4	,	,	PUNCT
ejpam-6467	20	5	see	see	VERB
ejpam-6467	20	6	(	(	PUNCT
ejpam-6467	20	7	[	[	X
ejpam-6467	20	8	9]-[17	9]-[17	NUM
ejpam-6467	20	9	]	]	X
ejpam-6467	20	10	)	)	PUNCT
ejpam-6467	20	11	.	.	PUNCT
ejpam-6467	21	1	differentiation	differentiation	NOUN
ejpam-6467	21	2	and	and	CCONJ
ejpam-6467	21	3	integration	integration	NOUN
ejpam-6467	21	4	are	be	AUX
ejpam-6467	21	5	extended	extend	VERB
ejpam-6467	21	6	to	to	ADP
ejpam-6467	21	7	non	non	ADJ
ejpam-6467	21	8	-	-	ADJ
ejpam-6467	21	9	integer	integer	ADJ
ejpam-6467	21	10	(	(	PUNCT
ejpam-6467	21	11	fractional	fractional	ADJ
ejpam-6467	21	12	)	)	PUNCT
ejpam-6467	21	13	orders	order	NOUN
ejpam-6467	21	14	in	in	ADP
ejpam-6467	21	15	fractional	fractional	ADJ
ejpam-6467	21	16	calculus	calculus	NOUN
ejpam-6467	21	17	,	,	PUNCT
ejpam-6467	21	18	a	a	DET
ejpam-6467	21	19	generalization	generalization	NOUN
ejpam-6467	21	20	of	of	ADP
ejpam-6467	21	21	classical	classical	ADJ
ejpam-6467	21	22	calculus	calculus	NOUN
ejpam-6467	21	23	.	.	PUNCT
ejpam-6467	22	1	a	a	DET
ejpam-6467	22	2	more	more	ADV
ejpam-6467	22	3	flexible	flexible	ADJ
ejpam-6467	22	4	and	and	CCONJ
ejpam-6467	22	5	precise	precise	ADJ
ejpam-6467	22	6	modeling	modeling	NOUN
ejpam-6467	22	7	of	of	ADP
ejpam-6467	22	8	complex	complex	ADJ
ejpam-6467	22	9	systems	system	NOUN
ejpam-6467	22	10	with	with	ADP
ejpam-6467	22	11	memory	memory	NOUN
ejpam-6467	22	12	and	and	CCONJ
ejpam-6467	22	13	hereditary	hereditary	ADJ
ejpam-6467	22	14	qualities	quality	NOUN
ejpam-6467	22	15	is	be	AUX
ejpam-6467	22	16	made	make	VERB
ejpam-6467	22	17	possible	possible	ADJ
ejpam-6467	22	18	by	by	ADP
ejpam-6467	22	19	fractional	fractional	ADJ
ejpam-6467	22	20	calculus	calculus	NOUN
ejpam-6467	22	21	,	,	PUNCT
ejpam-6467	22	22	which	which	PRON
ejpam-6467	22	23	permits	permit	VERB
ejpam-6467	22	24	operations	operation	NOUN
ejpam-6467	22	25	of	of	ADP
ejpam-6467	22	26	arbitrary	arbitrary	ADJ
ejpam-6467	22	27	order	order	NOUN
ejpam-6467	22	28	in	in	ADP
ejpam-6467	22	29	contrast	contrast	NOUN
ejpam-6467	22	30	to	to	ADP
ejpam-6467	22	31	classical	classical	ADJ
ejpam-6467	22	32	calculus	calculus	NOUN
ejpam-6467	22	33	,	,	PUNCT
ejpam-6467	22	34	which	which	PRON
ejpam-6467	22	35	works	work	VERB
ejpam-6467	22	36	with	with	ADP
ejpam-6467	22	37	integer	integer	NOUN
ejpam-6467	22	38	-	-	PUNCT
ejpam-6467	22	39	order	order	NOUN
ejpam-6467	22	40	derivatives	derivative	NOUN
ejpam-6467	22	41	and	and	CCONJ
ejpam-6467	22	42	integrals	integral	NOUN
ejpam-6467	22	43	.	.	PUNCT
ejpam-6467	23	1	this	this	DET
ejpam-6467	23	2	discipline	discipline	NOUN
ejpam-6467	23	3	has	have	AUX
ejpam-6467	23	4	received	receive	VERB
ejpam-6467	23	5	a	a	DET
ejpam-6467	23	6	lot	lot	NOUN
ejpam-6467	23	7	of	of	ADP
ejpam-6467	23	8	interest	interest	NOUN
ejpam-6467	23	9	lately	lately	ADV
ejpam-6467	23	10	because	because	SCONJ
ejpam-6467	23	11	of	of	ADP
ejpam-6467	23	12	its	its	PRON
ejpam-6467	23	13	applicability	applicability	NOUN
ejpam-6467	23	14	in	in	ADP
ejpam-6467	23	15	a	a	DET
ejpam-6467	23	16	number	number	NOUN
ejpam-6467	23	17	of	of	ADP
ejpam-6467	23	18	fields	field	NOUN
ejpam-6467	23	19	,	,	PUNCT
ejpam-6467	23	20	including	include	VERB
ejpam-6467	23	21	biological	biological	ADJ
ejpam-6467	23	22	systems	system	NOUN
ejpam-6467	23	23	,	,	PUNCT
ejpam-6467	23	24	control	control	NOUN
ejpam-6467	23	25	theory	theory	NOUN
ejpam-6467	23	26	,	,	PUNCT
ejpam-6467	23	27	viscoelasticity	viscoelasticity	NOUN
ejpam-6467	23	28	,	,	PUNCT
ejpam-6467	23	29	anomalous	anomalous	ADJ
ejpam-6467	23	30	diffusion	diffusion	NOUN
ejpam-6467	23	31	,	,	PUNCT
ejpam-6467	23	32	and	and	CCONJ
ejpam-6467	23	33	signal	signal	ADJ
ejpam-6467	23	34	processing	processing	NOUN
ejpam-6467	23	35	.	.	PUNCT
ejpam-6467	24	1	the	the	DET
ejpam-6467	24	2	riemann	riemann	PROPN
ejpam-6467	24	3	–	–	PUNCT
ejpam-6467	24	4	liouville	liouville	PROPN
ejpam-6467	24	5	,	,	PUNCT
ejpam-6467	24	6	caputo	caputo	PROPN
ejpam-6467	24	7	,	,	PUNCT
ejpam-6467	24	8	and	and	CCONJ
ejpam-6467	24	9	grunwald	grunwald	NOUN
ejpam-6467	24	10	–	–	PUNCT
ejpam-6467	24	11	letnikov	letnikov	NOUN
ejpam-6467	24	12	derivatives	derivative	NOUN
ejpam-6467	24	13	are	be	AUX
ejpam-6467	24	14	among	among	ADP
ejpam-6467	24	15	the	the	DET
ejpam-6467	24	16	concepts	concept	NOUN
ejpam-6467	24	17	that	that	PRON
ejpam-6467	24	18	form	form	VERB
ejpam-6467	24	19	the	the	DET
ejpam-6467	24	20	mathematical	mathematical	ADJ
ejpam-6467	24	21	basis	basis	NOUN
ejpam-6467	24	22	of	of	ADP
ejpam-6467	24	23	fractional	fractional	ADJ
ejpam-6467	24	24	calculus	calculus	NOUN
ejpam-6467	24	25	,	,	PUNCT
ejpam-6467	24	26	and	and	CCONJ
ejpam-6467	24	27	each	each	PRON
ejpam-6467	24	28	is	be	AUX
ejpam-6467	24	29	appropriate	appropriate	ADJ
ejpam-6467	24	30	for	for	ADP
ejpam-6467	24	31	a	a	DET
ejpam-6467	24	32	particular	particular	ADJ
ejpam-6467	24	33	kind	kind	NOUN
ejpam-6467	24	34	of	of	ADP
ejpam-6467	24	35	issue	issue	NOUN
ejpam-6467	24	36	.	.	PUNCT
ejpam-6467	25	1	with	with	ADP
ejpam-6467	25	2	the	the	DET
ejpam-6467	25	3	use	use	NOUN
ejpam-6467	25	4	of	of	ADP
ejpam-6467	25	5	these	these	DET
ejpam-6467	25	6	instruments	instrument	NOUN
ejpam-6467	25	7	,	,	PUNCT
ejpam-6467	25	8	fractional	fractional	ADJ
ejpam-6467	25	9	calculus	calculus	NOUN
ejpam-6467	25	10	offers	offer	VERB
ejpam-6467	25	11	a	a	DET
ejpam-6467	25	12	strong	strong	ADJ
ejpam-6467	25	13	foundation	foundation	NOUN
ejpam-6467	25	14	for	for	ADP
ejpam-6467	25	15	explaining	explain	VERB
ejpam-6467	25	16	dynamic	dynamic	ADJ
ejpam-6467	25	17	phenomena	phenomenon	NOUN
ejpam-6467	25	18	that	that	SCONJ
ejpam-6467	25	19	traditional	traditional	ADJ
ejpam-6467	25	20	models	model	NOUN
ejpam-6467	25	21	are	be	AUX
ejpam-6467	25	22	unable	unable	ADJ
ejpam-6467	25	23	to	to	PART
ejpam-6467	25	24	effectively	effectively	ADV
ejpam-6467	25	25	represent	represent	VERB
ejpam-6467	25	26	.	.	PUNCT
ejpam-6467	26	1	mathematicians	mathematician	NOUN
ejpam-6467	26	2	including	include	VERB
ejpam-6467	26	3	leibniz	leibniz	PROPN
ejpam-6467	26	4	,	,	PUNCT
ejpam-6467	26	5	liouville	liouville	PROPN
ejpam-6467	26	6	,	,	PUNCT
ejpam-6467	26	7	riemann	riemann	PROPN
ejpam-6467	26	8	,	,	PUNCT
ejpam-6467	26	9	and	and	CCONJ
ejpam-6467	26	10	others	other	NOUN
ejpam-6467	26	11	investigated	investigate	VERB
ejpam-6467	26	12	the	the	DET
ejpam-6467	26	13	idea	idea	NOUN
ejpam-6467	26	14	of	of	ADP
ejpam-6467	26	15	extending	extend	VERB
ejpam-6467	26	16	fractional	fractional	ADJ
ejpam-6467	26	17	calculus	calculus	NOUN
ejpam-6467	26	18	.	.	PUNCT
ejpam-6467	27	1	the	the	DET
ejpam-6467	27	2	fractional	fractional	ADJ
ejpam-6467	27	3	derivative	derivative	NOUN
ejpam-6467	27	4	,	,	PUNCT
ejpam-6467	27	5	which	which	PRON
ejpam-6467	27	6	has	have	VERB
ejpam-6467	27	7	multiple	multiple	ADJ
ejpam-6467	27	8	definitions	definition	NOUN
ejpam-6467	27	9	(	(	PUNCT
ejpam-6467	27	10	riemann	riemann	PROPN
ejpam-6467	27	11	-	-	PUNCT
ejpam-6467	27	12	liouville	liouville	PROPN
ejpam-6467	27	13	,	,	PUNCT
ejpam-6467	27	14	caputo	caputo	PROPN
ejpam-6467	27	15	)	)	PUNCT
ejpam-6467	27	16	,	,	PUNCT
ejpam-6467	27	17	is	be	AUX
ejpam-6467	27	18	appropriate	appropriate	ADJ
ejpam-6467	27	19	for	for	SCONJ
ejpam-6467	27	20	a	a	DET
ejpam-6467	27	21	certain	certain	ADJ
ejpam-6467	27	22	set	set	NOUN
ejpam-6467	27	23	of	of	ADP
ejpam-6467	27	24	features	feature	NOUN
ejpam-6467	27	25	and	and	CCONJ
ejpam-6467	27	26	applications	application	NOUN
ejpam-6467	27	27	see	see	VERB
ejpam-6467	27	28	(	(	PUNCT
ejpam-6467	27	29	[	[	X
ejpam-6467	27	30	18]-[21	18]-[21	X
ejpam-6467	27	31	]	]	X
ejpam-6467	27	32	)	)	PUNCT
ejpam-6467	27	33	.	.	PUNCT
ejpam-6467	28	1	definition	definition	NOUN
ejpam-6467	28	2	1	1	NUM
ejpam-6467	28	3	.	.	PUNCT
ejpam-6467	29	1	[	[	X
ejpam-6467	29	2	22	22	NUM
ejpam-6467	29	3	]	]	PUNCT
ejpam-6467	29	4	consider	consider	VERB
ejpam-6467	29	5	f	f	PROPN
ejpam-6467	29	6	∈	∈	PROPN
ejpam-6467	29	7	l[a	l[a	NOUN
ejpam-6467	29	8	,	,	PUNCT
ejpam-6467	29	9	b	b	NOUN
ejpam-6467	29	10	]	]	X
ejpam-6467	29	11	.	.	PUNCT
ejpam-6467	30	1	the	the	DET
ejpam-6467	30	2	left	left	ADJ
ejpam-6467	30	3	-	-	PUNCT
ejpam-6467	30	4	right	right	ADV
ejpam-6467	30	5	-	-	PUNCT
ejpam-6467	30	6	sided	side	VERB
ejpam-6467	30	7	riemann	riemann	PROPN
ejpam-6467	30	8	-	-	PUNCT
ejpam-6467	30	9	liouville	liouville	NOUN
ejpam-6467	30	10	(	(	PUNCT
ejpam-6467	30	11	r	r	NOUN
ejpam-6467	30	12	–	–	PUNCT
ejpam-6467	30	13	l	l	NOUN
ejpam-6467	30	14	)	)	PUNCT
ejpam-6467	30	15	fractional	fractional	ADJ
ejpam-6467	30	16	integrals	integral	NOUN
ejpam-6467	30	17	of	of	ADP
ejpam-6467	30	18	order	order	NOUN
ejpam-6467	30	19	ξ	ξ	X
ejpam-6467	30	20	>	>	X
ejpam-6467	30	21	0	0	NUM
ejpam-6467	30	22	are	be	AUX
ejpam-6467	30	23	defined	define	VERB
ejpam-6467	30	24	by	by	ADP
ejpam-6467	30	25	aj	aj	PROPN
ejpam-6467	30	26	ξf(τ	ξf(τ	NUM
ejpam-6467	30	27	)	)	PUNCT
ejpam-6467	30	28	=	=	SYM
ejpam-6467	30	29	1	1	NUM
ejpam-6467	30	30	γ(ξ	γ(ξ	PROPN
ejpam-6467	30	31	)	)	PUNCT
ejpam-6467	30	32	∫	∫	PROPN
ejpam-6467	31	1	τ	τ	PROPN
ejpam-6467	31	2	a	a	X
ejpam-6467	31	3	(	(	PUNCT
ejpam-6467	31	4	τ	τ	PROPN
ejpam-6467	31	5	−	−	PROPN
ejpam-6467	31	6	µ)ξ−1f(µ)dµ	µ)ξ−1f(µ)dµ	PROPN
ejpam-6467	31	7	,	,	PUNCT
ejpam-6467	31	8	a	a	PRON
ejpam-6467	31	9	<	<	X
ejpam-6467	31	10	τ	τ	X
ejpam-6467	31	11	(	(	PUNCT
ejpam-6467	31	12	1	1	NUM
ejpam-6467	31	13	)	)	PUNCT
ejpam-6467	31	14	and	and	CCONJ
ejpam-6467	31	15	jξbf(τ	jξbf(τ	NOUN
ejpam-6467	31	16	)	)	PUNCT
ejpam-6467	31	17	=	=	SYM
ejpam-6467	31	18	1	1	NUM
ejpam-6467	31	19	γ(ξ	γ(ξ	PROPN
ejpam-6467	31	20	)	)	PUNCT
ejpam-6467	31	21	∫	∫	PROPN
ejpam-6467	32	1	b	b	PROPN
ejpam-6467	32	2	τ	τ	PROPN
ejpam-6467	32	3	(	(	PUNCT
ejpam-6467	32	4	µ−	µ−	PROPN
ejpam-6467	32	5	τ)ξ−1f(µ)dµ	τ)ξ−1f(µ)dµ	PROPN
ejpam-6467	32	6	,	,	PUNCT
ejpam-6467	32	7	τ	τ	PROPN
ejpam-6467	32	8	<	<	X
ejpam-6467	32	9	b	b	PROPN
ejpam-6467	32	10	,	,	PUNCT
ejpam-6467	32	11	(	(	PUNCT
ejpam-6467	32	12	2	2	NUM
ejpam-6467	32	13	)	)	PUNCT
ejpam-6467	32	14	where	where	SCONJ
ejpam-6467	32	15	the	the	DET
ejpam-6467	32	16	gamma	gamma	NOUN
ejpam-6467	32	17	function	function	NOUN
ejpam-6467	32	18	is	be	AUX
ejpam-6467	32	19	defined	define	VERB
ejpam-6467	32	20	as	as	ADP
ejpam-6467	32	21	γ(ξ	γ(ξ	PROPN
ejpam-6467	32	22	)	)	PUNCT
ejpam-6467	32	23	=	=	SYM
ejpam-6467	32	24	∫∞	∫∞	NOUN
ejpam-6467	32	25	0	0	NUM
ejpam-6467	32	26	e−uuξ−1du	e−uuξ−1du	ADJ
ejpam-6467	32	27	.	.	PUNCT
ejpam-6467	33	1	this	this	DET
ejpam-6467	33	2	integral	integral	ADJ
ejpam-6467	33	3	is	be	AUX
ejpam-6467	33	4	motivated	motivate	VERB
ejpam-6467	33	5	by	by	ADP
ejpam-6467	33	6	the	the	DET
ejpam-6467	33	7	reputed	reputed	ADJ
ejpam-6467	33	8	and	and	CCONJ
ejpam-6467	33	9	well	well	ADV
ejpam-6467	33	10	known	know	VERB
ejpam-6467	33	11	cauchy	cauchy	NOUN
ejpam-6467	33	12	formula	formula	NOUN
ejpam-6467	33	13	as	as	ADP
ejpam-6467	33	14	follows:∫	follows:∫	NOUN
ejpam-6467	33	15	x	x	SYM
ejpam-6467	33	16	a	a	DET
ejpam-6467	33	17	dτ1	dτ1	NOUN
ejpam-6467	33	18	∫	∫	PROPN
ejpam-6467	33	19	τ1	τ1	NOUN
ejpam-6467	33	20	a	a	DET
ejpam-6467	33	21	dτ2	dτ2	NOUN
ejpam-6467	33	22	...	...	PUNCT
ejpam-6467	33	23	∫	∫	PROPN
ejpam-6467	34	1	τn−1	τn−1	ADP
ejpam-6467	34	2	a	a	DET
ejpam-6467	34	3	f	f	PROPN
ejpam-6467	34	4	(	(	PUNCT
ejpam-6467	34	5	taun	taun	PROPN
ejpam-6467	34	6	)	)	PUNCT
ejpam-6467	34	7	dτn	dτn	PROPN
ejpam-6467	35	1	=	=	PUNCT
ejpam-6467	35	2	1	1	NUM
ejpam-6467	35	3	γ	γ	X
ejpam-6467	35	4	(	(	PUNCT
ejpam-6467	35	5	n	n	CCONJ
ejpam-6467	35	6	)	)	PUNCT
ejpam-6467	35	7	∫	∫	PROPN
ejpam-6467	35	8	x	x	X
ejpam-6467	36	1	a	a	DET
ejpam-6467	36	2	(	(	PUNCT
ejpam-6467	36	3	−τ)n−1	−τ)n−1	PROPN
ejpam-6467	36	4	f	f	PROPN
ejpam-6467	36	5	(	(	PUNCT
ejpam-6467	36	6	τ	τ	PROPN
ejpam-6467	36	7	)	)	PUNCT
ejpam-6467	36	8	dτ	dτ	PROPN
ejpam-6467	36	9	.	.	PROPN
ejpam-6467	36	10	(	(	PUNCT
ejpam-6467	36	11	3	3	X
ejpam-6467	36	12	)	)	PUNCT
ejpam-6467	36	13	definition	definition	NOUN
ejpam-6467	36	14	2	2	NUM
ejpam-6467	36	15	.	.	PUNCT
ejpam-6467	37	1	[	[	X
ejpam-6467	37	2	23	23	NUM
ejpam-6467	37	3	,	,	PUNCT
ejpam-6467	37	4	24	24	NUM
ejpam-6467	37	5	]	]	PUNCT
ejpam-6467	37	6	suppose	suppose	VERB
ejpam-6467	37	7	(	(	PUNCT
ejpam-6467	37	8	a	a	DET
ejpam-6467	37	9	,	,	PUNCT
ejpam-6467	37	10	b	b	NOUN
ejpam-6467	37	11	)	)	PUNCT
ejpam-6467	37	12	is	be	AUX
ejpam-6467	37	13	a	a	DET
ejpam-6467	37	14	finite	finite	ADJ
ejpam-6467	37	15	interval	interval	NOUN
ejpam-6467	37	16	of	of	ADP
ejpam-6467	37	17	real	real	ADJ
ejpam-6467	37	18	line	line	NOUN
ejpam-6467	37	19	ℜ	ℜ	PROPN
ejpam-6467	37	20	and	and	CCONJ
ejpam-6467	37	21	ℜ(ξ	ℜ(ξ	NUM
ejpam-6467	37	22	)	)	PUNCT
ejpam-6467	37	23	>	>	X
ejpam-6467	38	1	0	0	X
ejpam-6467	38	2	.	.	PUNCT
ejpam-6467	39	1	also	also	ADV
ejpam-6467	39	2	that	that	PRON
ejpam-6467	39	3	suppose	suppose	VERB
ejpam-6467	39	4	ω(x	ω(x	NOUN
ejpam-6467	39	5	)	)	PUNCT
ejpam-6467	39	6	is	be	AUX
ejpam-6467	39	7	an	an	DET
ejpam-6467	39	8	increasing	increase	VERB
ejpam-6467	39	9	and	and	CCONJ
ejpam-6467	39	10	positive	positive	ADJ
ejpam-6467	39	11	monotone	monotone	ADJ
ejpam-6467	39	12	function	function	NOUN
ejpam-6467	39	13	on	on	ADP
ejpam-6467	39	14	(	(	PUNCT
ejpam-6467	39	15	a	a	DET
ejpam-6467	39	16	,	,	PUNCT
ejpam-6467	39	17	b	b	NOUN
ejpam-6467	39	18	)	)	PUNCT
ejpam-6467	39	19	,	,	PUNCT
ejpam-6467	39	20	having	have	VERB
ejpam-6467	39	21	a	a	DET
ejpam-6467	39	22	continuous	continuous	ADJ
ejpam-6467	39	23	derivative	derivative	ADJ
ejpam-6467	39	24	ω′(x	ω′(x	NOUN
ejpam-6467	39	25	)	)	PUNCT
ejpam-6467	39	26	on	on	ADP
ejpam-6467	39	27	(	(	PUNCT
ejpam-6467	39	28	a	a	DET
ejpam-6467	39	29	,	,	PUNCT
ejpam-6467	39	30	b	b	NOUN
ejpam-6467	39	31	)	)	PUNCT
ejpam-6467	39	32	.	.	PUNCT
ejpam-6467	40	1	the	the	DET
ejpam-6467	40	2	left	left	ADJ
ejpam-6467	40	3	-	-	PUNCT
ejpam-6467	40	4	right	right	NOUN
ejpam-6467	40	5	sided	sided	ADJ
ejpam-6467	40	6	fractional	fractional	ADJ
ejpam-6467	40	7	integrals	integral	NOUN
ejpam-6467	40	8	of	of	ADP
ejpam-6467	40	9	a	a	DET
ejpam-6467	40	10	function	function	NOUN
ejpam-6467	40	11	f	f	NOUN
ejpam-6467	40	12	with	with	ADP
ejpam-6467	40	13	respect	respect	NOUN
ejpam-6467	40	14	to	to	ADP
ejpam-6467	40	15	another	another	DET
ejpam-6467	40	16	function	function	NOUN
ejpam-6467	40	17	ω	ω	NOUN
ejpam-6467	40	18	on	on	ADP
ejpam-6467	40	19	[	[	X
ejpam-6467	40	20	a	a	X
ejpam-6467	40	21	,	,	PUNCT
ejpam-6467	40	22	b	b	NOUN
ejpam-6467	40	23	]	]	PUNCT
ejpam-6467	40	24	are	be	AUX
ejpam-6467	40	25	defined	define	VERB
ejpam-6467	40	26	by	by	ADP
ejpam-6467	40	27	(	(	PUNCT
ejpam-6467	40	28	jξ	jξ	PROPN
ejpam-6467	40	29	a+,ω	a+,ω	ADV
ejpam-6467	40	30	f)(τ	f)(τ	NOUN
ejpam-6467	40	31	)	)	PUNCT
ejpam-6467	41	1	=	=	SYM
ejpam-6467	41	2	1	1	NUM
ejpam-6467	41	3	γ(ξ	γ(ξ	PROPN
ejpam-6467	41	4	)	)	PUNCT
ejpam-6467	41	5	∫	∫	PROPN
ejpam-6467	42	1	τ	τ	PROPN
ejpam-6467	42	2	a	a	PRON
ejpam-6467	42	3	(	(	PUNCT
ejpam-6467	42	4	ω(τ)−	ω(τ)−	PROPN
ejpam-6467	42	5	ω(µ))ξ−1ω′(µ)f(µ)dµ	ω(µ))ξ−1ω′(µ)f(µ)dµ	PROPN
ejpam-6467	42	6	,	,	PUNCT
ejpam-6467	42	7	a	a	DET
ejpam-6467	42	8	<	<	X
ejpam-6467	42	9	τ	τ	X
ejpam-6467	42	10	(	(	PUNCT
ejpam-6467	42	11	4	4	NUM
ejpam-6467	42	12	)	)	PUNCT
ejpam-6467	42	13	j.	j.	PROPN
ejpam-6467	42	14	nasir	nasir	PROPN
ejpam-6467	42	15	,	,	PUNCT
ejpam-6467	42	16	h.	h.	PROPN
ejpam-6467	42	17	qawaqneh	qawaqneh	PROPN
ejpam-6467	42	18	,	,	PUNCT
ejpam-6467	42	19	h.	h.	PROPN
ejpam-6467	42	20	aydi	aydi	VERB
ejpam-6467	42	21	/	/	SYM
ejpam-6467	42	22	eur	eur	NOUN
ejpam-6467	42	23	.	.	PUNCT
ejpam-6467	43	1	j.	j.	PROPN
ejpam-6467	43	2	pure	pure	PROPN
ejpam-6467	43	3	appl	appl	PROPN
ejpam-6467	43	4	.	.	PROPN
ejpam-6467	43	5	math	math	PROPN
ejpam-6467	43	6	,	,	PUNCT
ejpam-6467	43	7	18	18	NUM
ejpam-6467	43	8	(	(	PUNCT
ejpam-6467	43	9	3	3	NUM
ejpam-6467	43	10	)	)	PUNCT
ejpam-6467	43	11	(	(	PUNCT
ejpam-6467	43	12	2025	2025	NUM
ejpam-6467	43	13	)	)	PUNCT
ejpam-6467	43	14	,	,	PUNCT
ejpam-6467	43	15	6467	6467	NUM
ejpam-6467	43	16	3	3	NUM
ejpam-6467	43	17	of	of	ADP
ejpam-6467	43	18	16	16	NUM
ejpam-6467	43	19	and	and	CCONJ
ejpam-6467	43	20	(	(	PUNCT
ejpam-6467	43	21	jξ	jξ	PROPN
ejpam-6467	43	22	b−,ω	b−,ω	PROPN
ejpam-6467	43	23	f)(τ	f)(τ	NOUN
ejpam-6467	43	24	)	)	PUNCT
ejpam-6467	43	25	=	=	SYM
ejpam-6467	43	26	1	1	NUM
ejpam-6467	43	27	γ(ξ	γ(ξ	PROPN
ejpam-6467	43	28	)	)	PUNCT
ejpam-6467	43	29	∫	∫	PROPN
ejpam-6467	44	1	b	b	PROPN
ejpam-6467	44	2	τ	τ	PROPN
ejpam-6467	44	3	(	(	PUNCT
ejpam-6467	44	4	ω(µ)−	ω(µ)−	PROPN
ejpam-6467	44	5	ω(τ))ξ−1ω′(µ)f(µ)dµ	ω(τ))ξ−1ω′(µ)f(µ)dµ	PROPN
ejpam-6467	44	6	,	,	PUNCT
ejpam-6467	44	7	τ	τ	PROPN
ejpam-6467	44	8	<	<	X
ejpam-6467	44	9	b.	b.	PROPN
ejpam-6467	44	10	(	(	PUNCT
ejpam-6467	44	11	5	5	NUM
ejpam-6467	44	12	)	)	PUNCT
ejpam-6467	44	13	from	from	ADP
ejpam-6467	44	14	(	(	PUNCT
ejpam-6467	44	15	4	4	NUM
ejpam-6467	44	16	)	)	PUNCT
ejpam-6467	44	17	and	and	CCONJ
ejpam-6467	44	18	(	(	PUNCT
ejpam-6467	44	19	5	5	NUM
ejpam-6467	44	20	)	)	PUNCT
ejpam-6467	44	21	,	,	PUNCT
ejpam-6467	44	22	(	(	PUNCT
ejpam-6467	44	23	jξ	jξ	ADP
ejpam-6467	44	24	a+,ω	a+,ω	ADV
ejpam-6467	44	25	f)(τ	f)(τ	NOUN
ejpam-6467	44	26	)	)	PUNCT
ejpam-6467	45	1	=	=	PUNCT
ejpam-6467	45	2	(	(	PUNCT
ejpam-6467	45	3	jξ	jξ	PROPN
ejpam-6467	45	4	b−,ω	b−,ω	PROPN
ejpam-6467	45	5	f)(τ	f)(τ	NOUN
ejpam-6467	45	6	)	)	PUNCT
ejpam-6467	45	7	=	=	SYM
ejpam-6467	45	8	0	0	PUNCT
ejpam-6467	45	9	(	(	PUNCT
ejpam-6467	45	10	6	6	NUM
ejpam-6467	45	11	)	)	PUNCT
ejpam-6467	45	12	if	if	SCONJ
ejpam-6467	45	13	we	we	PRON
ejpam-6467	45	14	choose	choose	VERB
ejpam-6467	45	15	ω(x	ω(x	NOUN
ejpam-6467	45	16	)	)	PUNCT
ejpam-6467	45	17	=	=	PUNCT
ejpam-6467	46	1	x	x	X
ejpam-6467	46	2	in	in	ADP
ejpam-6467	46	3	the	the	DET
ejpam-6467	46	4	integral	integral	ADJ
ejpam-6467	46	5	formulas	formula	NOUN
ejpam-6467	46	6	(	(	PUNCT
ejpam-6467	46	7	4	4	NUM
ejpam-6467	46	8	)	)	PUNCT
ejpam-6467	46	9	and	and	CCONJ
ejpam-6467	46	10	(	(	PUNCT
ejpam-6467	46	11	5	5	NUM
ejpam-6467	46	12	)	)	PUNCT
ejpam-6467	46	13	,	,	PUNCT
ejpam-6467	46	14	we	we	PRON
ejpam-6467	46	15	have	have	VERB
ejpam-6467	46	16	jξ	jξ	ADP
ejpam-6467	46	17	a+,ω	a+,ω	PROPN
ejpam-6467	46	18	=	=	PUNCT
ejpam-6467	46	19	jξ	jξ	NOUN
ejpam-6467	46	20	a+	a+	PUNCT
ejpam-6467	46	21	and	and	CCONJ
ejpam-6467	46	22	jξ	jξ	ADP
ejpam-6467	46	23	b−,ω	b−,ω	PROPN
ejpam-6467	46	24	=	=	SYM
ejpam-6467	46	25	jξ	jξ	ADP
ejpam-6467	46	26	b−	b−	PROPN
ejpam-6467	46	27	.	.	PUNCT
ejpam-6467	47	1	(	(	PUNCT
ejpam-6467	47	2	7	7	X
ejpam-6467	47	3	)	)	PUNCT
ejpam-6467	47	4	if	if	SCONJ
ejpam-6467	47	5	a	a	PRON
ejpam-6467	47	6	=	=	NOUN
ejpam-6467	47	7	0	0	NUM
ejpam-6467	47	8	in	in	ADP
ejpam-6467	47	9	(	(	PUNCT
ejpam-6467	47	10	4	4	NUM
ejpam-6467	47	11	)	)	PUNCT
ejpam-6467	47	12	,	,	PUNCT
ejpam-6467	47	13	we	we	PRON
ejpam-6467	47	14	can	can	AUX
ejpam-6467	47	15	write	write	VERB
ejpam-6467	47	16	(	(	PUNCT
ejpam-6467	47	17	jξ	jξ	PROPN
ejpam-6467	47	18	0+,ω	0+,ω	NUM
ejpam-6467	47	19	f)(τ	f)(τ	NOUN
ejpam-6467	47	20	)	)	PUNCT
ejpam-6467	48	1	=	=	SYM
ejpam-6467	48	2	1	1	NUM
ejpam-6467	48	3	γ(ξ	γ(ξ	PROPN
ejpam-6467	48	4	)	)	PUNCT
ejpam-6467	48	5	∫	∫	PROPN
ejpam-6467	48	6	τ	τ	PROPN
ejpam-6467	48	7	0	0	PROPN
ejpam-6467	48	8	(	(	PUNCT
ejpam-6467	48	9	ω(τ)−	ω(τ)−	PROPN
ejpam-6467	48	10	ω(µ))ξ−1ω′(µ)f(µ)dµ	ω(µ))ξ−1ω′(µ)f(µ)dµ	PROPN
ejpam-6467	48	11	,	,	PUNCT
ejpam-6467	48	12	0	0	PUNCT
ejpam-6467	48	13	<	<	X
ejpam-6467	48	14	τ	τ	X
ejpam-6467	48	15	(	(	PUNCT
ejpam-6467	48	16	8)	8)	NUM
ejpam-6467	48	17	(	(	PUNCT
ejpam-6467	48	18	jξ	jξ	PROPN
ejpam-6467	48	19	0+,ω	0+,ω	NUM
ejpam-6467	48	20	f)(τ	f)(τ	NOUN
ejpam-6467	48	21	)	)	PUNCT
ejpam-6467	48	22	=	=	SYM
ejpam-6467	48	23	f(τ	f(τ	PROPN
ejpam-6467	48	24	)	)	PUNCT
ejpam-6467	48	25	.	.	PUNCT
ejpam-6467	49	1	for	for	ADP
ejpam-6467	49	2	the	the	DET
ejpam-6467	49	3	convenience	convenience	NOUN
ejpam-6467	49	4	of	of	ADP
ejpam-6467	49	5	establishing	establish	VERB
ejpam-6467	49	6	the	the	DET
ejpam-6467	49	7	results	result	NOUN
ejpam-6467	49	8	,	,	PUNCT
ejpam-6467	49	9	we	we	PRON
ejpam-6467	49	10	give	give	VERB
ejpam-6467	49	11	the	the	DET
ejpam-6467	49	12	semi	semi	ADJ
ejpam-6467	49	13	-	-	ADJ
ejpam-6467	49	14	group	group	ADJ
ejpam-6467	49	15	property	property	NOUN
ejpam-6467	49	16	:	:	PUNCT
ejpam-6467	49	17	jξ	jξ	ADP
ejpam-6467	49	18	a+,ω	a+,ω	INTJ
ejpam-6467	49	19	jβ	jβ	PROPN
ejpam-6467	49	20	a+,ω	a+,ω	CCONJ
ejpam-6467	49	21	f(τ	f(τ	PROPN
ejpam-6467	49	22	)	)	PUNCT
ejpam-6467	50	1	=	=	SYM
ejpam-6467	50	2	jξ+β	jξ+β	PROPN
ejpam-6467	50	3	a+,ω	a+,ω	CCONJ
ejpam-6467	50	4	f(τ	f(τ	PROPN
ejpam-6467	50	5	)	)	PUNCT
ejpam-6467	50	6	,	,	PUNCT
ejpam-6467	50	7	ξ	ξ	X
ejpam-6467	50	8	≥	≥	NOUN
ejpam-6467	50	9	0	0	NUM
ejpam-6467	50	10	,	,	PUNCT
ejpam-6467	50	11	β	β	X
ejpam-6467	50	12	≥	≥	NUM
ejpam-6467	50	13	0	0	NUM
ejpam-6467	50	14	,	,	PUNCT
ejpam-6467	50	15	which	which	PRON
ejpam-6467	50	16	gives	give	VERB
ejpam-6467	50	17	the	the	DET
ejpam-6467	50	18	commutative	commutative	ADJ
ejpam-6467	50	19	property	property	NOUN
ejpam-6467	50	20	holding	holding	NOUN
ejpam-6467	50	21	as	as	ADP
ejpam-6467	50	22	jξ	jξ	PROPN
ejpam-6467	50	23	a+,ω	a+,ω	INTJ
ejpam-6467	50	24	jβ	jβ	PROPN
ejpam-6467	50	25	a+,ω	a+,ω	CCONJ
ejpam-6467	50	26	f(τ	f(τ	PROPN
ejpam-6467	50	27	)	)	PUNCT
ejpam-6467	50	28	=	=	SYM
ejpam-6467	50	29	jβ	jβ	NOUN
ejpam-6467	50	30	a+,ω	a+,ω	CCONJ
ejpam-6467	50	31	jξ	jξ	ADP
ejpam-6467	50	32	a+,ω	a+,ω	CCONJ
ejpam-6467	50	33	f(τ	f(τ	PROPN
ejpam-6467	50	34	)	)	PUNCT
ejpam-6467	50	35	.	.	PUNCT
ejpam-6467	51	1	definition	definition	NOUN
ejpam-6467	51	2	3	3	NUM
ejpam-6467	51	3	.	.	PUNCT
ejpam-6467	52	1	(	(	PUNCT
ejpam-6467	52	2	modified	modify	VERB
ejpam-6467	52	3	conformable	conformable	ADJ
ejpam-6467	52	4	derivatives	derivative	NOUN
ejpam-6467	52	5	)	)	PUNCT
ejpam-6467	52	6	for	for	ADP
ejpam-6467	52	7	γ	γ	PRON
ejpam-6467	52	8	∈	∈	PROPN
ejpam-6467	53	1	[	[	X
ejpam-6467	53	2	0	0	NUM
ejpam-6467	53	3	,	,	PUNCT
ejpam-6467	53	4	1	1	NUM
ejpam-6467	53	5	]	]	PUNCT
ejpam-6467	53	6	,	,	PUNCT
ejpam-6467	53	7	let	let	VERB
ejpam-6467	53	8	the	the	DET
ejpam-6467	53	9	functions	function	NOUN
ejpam-6467	53	10	x0	x0	PROPN
ejpam-6467	53	11	,	,	PUNCT
ejpam-6467	53	12	x1	x1	NOUN
ejpam-6467	53	13	:	:	PUNCT
ejpam-6467	54	1	[	[	X
ejpam-6467	54	2	0	0	NUM
ejpam-6467	54	3	,	,	PUNCT
ejpam-6467	54	4	1]×ℜ	1]×ℜ	NUM
ejpam-6467	54	5	→	→	SYM
ejpam-6467	54	6	[	[	X
ejpam-6467	54	7	0,+∞	0,+∞	NUM
ejpam-6467	54	8	)	)	PUNCT
ejpam-6467	54	9	be	be	AUX
ejpam-6467	54	10	continuous	continuous	ADJ
ejpam-6467	54	11	such	such	ADJ
ejpam-6467	54	12	that	that	PRON
ejpam-6467	54	13	for	for	ADP
ejpam-6467	54	14	all	all	DET
ejpam-6467	54	15	t	t	NOUN
ejpam-6467	54	16	∈	∈	PROPN
ejpam-6467	54	17	ℜ	ℜ	PROPN
ejpam-6467	54	18	,	,	PUNCT
ejpam-6467	54	19	we	we	PRON
ejpam-6467	54	20	have	have	VERB
ejpam-6467	54	21	lim	lim	NOUN
ejpam-6467	54	22	ϱ→0	ϱ→0	PROPN
ejpam-6467	54	23	+	+	PROPN
ejpam-6467	54	24	x1	x1	PROPN
ejpam-6467	54	25	(	(	PUNCT
ejpam-6467	54	26	γ	γ	X
ejpam-6467	54	27	,	,	PUNCT
ejpam-6467	54	28	κ	κ	NOUN
ejpam-6467	54	29	)	)	PUNCT
ejpam-6467	54	30	=	=	SYM
ejpam-6467	54	31	1	1	NUM
ejpam-6467	54	32	,	,	PUNCT
ejpam-6467	54	33	lim	lim	PROPN
ejpam-6467	54	34	γ→0	γ→0	AUX
ejpam-6467	54	35	+	+	CCONJ
ejpam-6467	54	36	x0	x0	PROPN
ejpam-6467	54	37	(	(	PUNCT
ejpam-6467	54	38	γ	γ	X
ejpam-6467	54	39	,	,	PUNCT
ejpam-6467	54	40	κ	κ	NOUN
ejpam-6467	54	41	)	)	PUNCT
ejpam-6467	54	42	=	=	SYM
ejpam-6467	54	43	0	0	PROPN
ejpam-6467	54	44	,	,	PUNCT
ejpam-6467	54	45	lim	lim	PROPN
ejpam-6467	54	46	γ→1−	γ→1−	PROPN
ejpam-6467	55	1	x1	x1	PROPN
ejpam-6467	56	1	(	(	PUNCT
ejpam-6467	56	2	γ	γ	X
ejpam-6467	56	3	,	,	PUNCT
ejpam-6467	56	4	κ	κ	NOUN
ejpam-6467	56	5	)	)	PUNCT
ejpam-6467	56	6	=	=	SYM
ejpam-6467	56	7	0	0	PROPN
ejpam-6467	56	8	,	,	PUNCT
ejpam-6467	56	9	lim	lim	PROPN
ejpam-6467	56	10	γ→1−	γ→1−	PROPN
ejpam-6467	56	11	x0	x0	PROPN
ejpam-6467	56	12	(	(	PUNCT
ejpam-6467	56	13	γ	γ	X
ejpam-6467	56	14	,	,	PUNCT
ejpam-6467	56	15	κ	κ	NOUN
ejpam-6467	56	16	)	)	PUNCT
ejpam-6467	56	17	=	=	SYM
ejpam-6467	56	18	1	1	NUM
ejpam-6467	56	19	,	,	PUNCT
ejpam-6467	56	20	and	and	CCONJ
ejpam-6467	56	21	x1	x1	NUM
ejpam-6467	56	22	(	(	PUNCT
ejpam-6467	56	23	γ	γ	X
ejpam-6467	56	24	,	,	PUNCT
ejpam-6467	56	25	κ	κ	NOUN
ejpam-6467	56	26	)	)	PUNCT
ejpam-6467	56	27	̸=	̸=	PROPN
ejpam-6467	56	28	0	0	NUM
ejpam-6467	56	29	,	,	PUNCT
ejpam-6467	56	30	γ	γ	X
ejpam-6467	56	31	∈	∈	PROPN
ejpam-6467	57	1	[	[	X
ejpam-6467	57	2	0	0	NUM
ejpam-6467	57	3	,	,	PUNCT
ejpam-6467	57	4	1	1	NUM
ejpam-6467	57	5	]	]	PUNCT
ejpam-6467	57	6	,	,	PUNCT
ejpam-6467	57	7	x0	x0	PROPN
ejpam-6467	57	8	(	(	PUNCT
ejpam-6467	57	9	γ	γ	X
ejpam-6467	57	10	,	,	PUNCT
ejpam-6467	57	11	κ	κ	NOUN
ejpam-6467	57	12	)	)	PUNCT
ejpam-6467	57	13	̸=	̸=	PROPN
ejpam-6467	57	14	0	0	NUM
ejpam-6467	57	15	,	,	PUNCT
ejpam-6467	57	16	γ	γ	PROPN
ejpam-6467	57	17	∈	∈	X
ejpam-6467	57	18	(	(	PUNCT
ejpam-6467	57	19	0	0	NUM
ejpam-6467	57	20	,	,	PUNCT
ejpam-6467	57	21	1	1	NUM
ejpam-6467	57	22	]	]	PUNCT
ejpam-6467	57	23	.	.	PUNCT
ejpam-6467	58	1	then	then	ADV
ejpam-6467	58	2	the	the	DET
ejpam-6467	58	3	modified	modified	ADJ
ejpam-6467	58	4	conformable	conformable	ADJ
ejpam-6467	58	5	differential	differential	NOUN
ejpam-6467	58	6	operator	operator	NOUN
ejpam-6467	58	7	of	of	ADP
ejpam-6467	58	8	order	order	NOUN
ejpam-6467	58	9	γ	γ	X
ejpam-6467	58	10	is	be	AUX
ejpam-6467	58	11	defined	define	VERB
ejpam-6467	58	12	by	by	ADP
ejpam-6467	58	13	dγf(κ	dγf(κ	PROPN
ejpam-6467	58	14	)	)	PUNCT
ejpam-6467	59	1	=	=	SYM
ejpam-6467	59	2	x1	x1	PROPN
ejpam-6467	59	3	(	(	PUNCT
ejpam-6467	59	4	γ	γ	PROPN
ejpam-6467	59	5	,	,	PUNCT
ejpam-6467	59	6	κ	κ	NOUN
ejpam-6467	59	7	)	)	PUNCT
ejpam-6467	59	8	f(κ	f(κ	PROPN
ejpam-6467	59	9	)	)	PUNCT
ejpam-6467	60	1	+	+	CCONJ
ejpam-6467	60	2	x0	x0	PROPN
ejpam-6467	60	3	(	(	PUNCT
ejpam-6467	60	4	γ	γ	X
ejpam-6467	60	5	,	,	PUNCT
ejpam-6467	60	6	κ	κ	NOUN
ejpam-6467	60	7	)	)	PUNCT
ejpam-6467	60	8	f	f	PROPN
ejpam-6467	60	9	′(κ	′(κ	PROPN
ejpam-6467	60	10	)	)	PUNCT
ejpam-6467	60	11	.	.	PUNCT
ejpam-6467	61	1	(	(	PUNCT
ejpam-6467	61	2	9	9	X
ejpam-6467	61	3	)	)	PUNCT
ejpam-6467	61	4	the	the	DET
ejpam-6467	61	5	derivative	derivative	NOUN
ejpam-6467	61	6	given	give	VERB
ejpam-6467	61	7	in	in	ADP
ejpam-6467	61	8	(	(	PUNCT
ejpam-6467	61	9	9	9	NUM
ejpam-6467	61	10	)	)	PUNCT
ejpam-6467	61	11	is	be	AUX
ejpam-6467	61	12	said	say	VERB
ejpam-6467	61	13	to	to	PART
ejpam-6467	61	14	be	be	AUX
ejpam-6467	61	15	proportional	proportional	ADJ
ejpam-6467	61	16	derivative	derivative	NOUN
ejpam-6467	61	17	.	.	PUNCT
ejpam-6467	62	1	for	for	ADP
ejpam-6467	62	2	more	more	ADJ
ejpam-6467	62	3	details	detail	NOUN
ejpam-6467	62	4	,	,	PUNCT
ejpam-6467	62	5	see	see	VERB
ejpam-6467	62	6	the	the	DET
ejpam-6467	62	7	literature	literature	NOUN
ejpam-6467	62	8	[	[	X
ejpam-6467	62	9	25]-[26	25]-[26	X
ejpam-6467	62	10	]	]	PUNCT
ejpam-6467	62	11	.	.	PUNCT
ejpam-6467	63	1	j.	j.	PROPN
ejpam-6467	63	2	nasir	nasir	PROPN
ejpam-6467	63	3	,	,	PUNCT
ejpam-6467	63	4	h.	h.	PROPN
ejpam-6467	63	5	qawaqneh	qawaqneh	PROPN
ejpam-6467	63	6	,	,	PUNCT
ejpam-6467	63	7	h.	h.	PROPN
ejpam-6467	63	8	aydi	aydi	VERB
ejpam-6467	63	9	/	/	SYM
ejpam-6467	63	10	eur	eur	NOUN
ejpam-6467	63	11	.	.	PUNCT
ejpam-6467	64	1	j.	j.	PROPN
ejpam-6467	64	2	pure	pure	PROPN
ejpam-6467	64	3	appl	appl	PROPN
ejpam-6467	64	4	.	.	PROPN
ejpam-6467	64	5	math	math	PROPN
ejpam-6467	64	6	,	,	PUNCT
ejpam-6467	64	7	18	18	NUM
ejpam-6467	64	8	(	(	PUNCT
ejpam-6467	64	9	3	3	NUM
ejpam-6467	64	10	)	)	PUNCT
ejpam-6467	64	11	(	(	PUNCT
ejpam-6467	64	12	2025	2025	NUM
ejpam-6467	64	13	)	)	PUNCT
ejpam-6467	64	14	,	,	PUNCT
ejpam-6467	64	15	6467	6467	NUM
ejpam-6467	64	16	4	4	NUM
ejpam-6467	64	17	of	of	ADP
ejpam-6467	64	18	16	16	NUM
ejpam-6467	64	19	definition	definition	NOUN
ejpam-6467	64	20	4	4	NUM
ejpam-6467	64	21	.	.	PUNCT
ejpam-6467	65	1	[	[	X
ejpam-6467	65	2	27	27	NUM
ejpam-6467	65	3	]	]	PUNCT
ejpam-6467	65	4	for	for	ADP
ejpam-6467	65	5	γ	γ	X
ejpam-6467	65	6	>	>	X
ejpam-6467	65	7	0	0	NUM
ejpam-6467	65	8	and	and	CCONJ
ejpam-6467	65	9	ξ	ξ	PROPN
ejpam-6467	65	10	∈	∈	PROPN
ejpam-6467	65	11	c	c	NOUN
ejpam-6467	65	12	,	,	PUNCT
ejpam-6467	65	13	re(ξ	re(ξ	PUNCT
ejpam-6467	65	14	)	)	PUNCT
ejpam-6467	65	15	>	>	X
ejpam-6467	65	16	0	0	NUM
ejpam-6467	65	17	,	,	PUNCT
ejpam-6467	65	18	the	the	DET
ejpam-6467	65	19	left	left	ADJ
ejpam-6467	65	20	and	and	CCONJ
ejpam-6467	65	21	right	right	ADJ
ejpam-6467	65	22	proportional	proportional	ADJ
ejpam-6467	65	23	fractional	fractional	ADJ
ejpam-6467	65	24	integrals	integral	NOUN
ejpam-6467	65	25	of	of	ADP
ejpam-6467	65	26	f	f	PROPN
ejpam-6467	65	27	are	be	AUX
ejpam-6467	65	28	respectively	respectively	ADV
ejpam-6467	65	29	defined	define	VERB
ejpam-6467	65	30	as	as	SCONJ
ejpam-6467	65	31	(	(	PUNCT
ejpam-6467	65	32	ai	ai	VERB
ejpam-6467	65	33	ξ	ξ	PROPN
ejpam-6467	65	34	,	,	PUNCT
ejpam-6467	65	35	γf	γf	PROPN
ejpam-6467	65	36	)	)	PUNCT
ejpam-6467	65	37	(	(	PUNCT
ejpam-6467	65	38	κ	κ	NOUN
ejpam-6467	65	39	)	)	PUNCT
ejpam-6467	65	40	=	=	SYM
ejpam-6467	65	41	1	1	NUM
ejpam-6467	65	42	γξγ	γξγ	NOUN
ejpam-6467	65	43	(	(	PUNCT
ejpam-6467	65	44	ξ	ξ	NOUN
ejpam-6467	65	45	)	)	PUNCT
ejpam-6467	65	46	∫	∫	PROPN
ejpam-6467	65	47	κ	κ	AUX
ejpam-6467	65	48	a	a	DET
ejpam-6467	65	49	e	e	PROPN
ejpam-6467	65	50	γ−1	γ−1	PROPN
ejpam-6467	65	51	γ	γ	X
ejpam-6467	65	52	(	(	PUNCT
ejpam-6467	65	53	κ−τ	κ−τ	PROPN
ejpam-6467	65	54	)	)	PUNCT
ejpam-6467	65	55	(	(	PUNCT
ejpam-6467	65	56	κ−	κ−	PROPN
ejpam-6467	65	57	τ)ξ−1	τ)ξ−1	PROPN
ejpam-6467	65	58	f	f	PROPN
ejpam-6467	65	59	(	(	PUNCT
ejpam-6467	65	60	τ	τ	PROPN
ejpam-6467	65	61	)	)	PUNCT
ejpam-6467	65	62	dτ	dτ	NOUN
ejpam-6467	65	63	(	(	PUNCT
ejpam-6467	65	64	10	10	NUM
ejpam-6467	65	65	)	)	PUNCT
ejpam-6467	65	66	and	and	CCONJ
ejpam-6467	65	67	(	(	PUNCT
ejpam-6467	65	68	iξ	iξ	ADP
ejpam-6467	65	69	,	,	PUNCT
ejpam-6467	65	70	γb	γb	PROPN
ejpam-6467	65	71	f	f	PROPN
ejpam-6467	65	72	)	)	PUNCT
ejpam-6467	65	73	(	(	PUNCT
ejpam-6467	65	74	κ	κ	NOUN
ejpam-6467	65	75	)	)	PUNCT
ejpam-6467	65	76	=	=	SYM
ejpam-6467	65	77	1	1	NUM
ejpam-6467	65	78	γξγ	γξγ	NOUN
ejpam-6467	65	79	(	(	PUNCT
ejpam-6467	65	80	ξ	ξ	NOUN
ejpam-6467	65	81	)	)	PUNCT
ejpam-6467	65	82	∫	∫	PROPN
ejpam-6467	65	83	κ	κ	PROPN
ejpam-6467	65	84	a	a	DET
ejpam-6467	65	85	e	e	X
ejpam-6467	65	86	γ−1	γ−1	PROPN
ejpam-6467	65	87	γ	γ	X
ejpam-6467	65	88	(	(	PUNCT
ejpam-6467	65	89	τ−κ	τ−κ	PROPN
ejpam-6467	65	90	)	)	PUNCT
ejpam-6467	65	91	(	(	PUNCT
ejpam-6467	65	92	τ	τ	PROPN
ejpam-6467	65	93	−	−	PROPN
ejpam-6467	65	94	κ)ξ−1	κ)ξ−1	PROPN
ejpam-6467	65	95	f	f	PROPN
ejpam-6467	65	96	(	(	PUNCT
ejpam-6467	65	97	τ	τ	PROPN
ejpam-6467	65	98	)	)	PUNCT
ejpam-6467	65	99	dτ	dτ	PROPN
ejpam-6467	65	100	.	.	PROPN
ejpam-6467	66	1	(	(	PUNCT
ejpam-6467	66	2	11	11	NUM
ejpam-6467	66	3	)	)	PUNCT
ejpam-6467	66	4	remark	remark	NOUN
ejpam-6467	66	5	1	1	NUM
ejpam-6467	66	6	.	.	PUNCT
ejpam-6467	67	1	if	if	SCONJ
ejpam-6467	67	2	we	we	PRON
ejpam-6467	67	3	choose	choose	VERB
ejpam-6467	67	4	γ	γ	X
ejpam-6467	67	5	=	=	SYM
ejpam-6467	67	6	1	1	NUM
ejpam-6467	67	7	in	in	ADP
ejpam-6467	67	8	the	the	DET
ejpam-6467	67	9	integral	integral	ADJ
ejpam-6467	67	10	formulas	formula	NOUN
ejpam-6467	67	11	(	(	PUNCT
ejpam-6467	67	12	10	10	NUM
ejpam-6467	67	13	)	)	PUNCT
ejpam-6467	67	14	and	and	CCONJ
ejpam-6467	67	15	(	(	PUNCT
ejpam-6467	67	16	11	11	NUM
ejpam-6467	67	17	)	)	PUNCT
ejpam-6467	67	18	,	,	PUNCT
ejpam-6467	67	19	we	we	PRON
ejpam-6467	67	20	find	find	VERB
ejpam-6467	67	21	(	(	PUNCT
ejpam-6467	67	22	1	1	NUM
ejpam-6467	67	23	)	)	PUNCT
ejpam-6467	67	24	and	and	CCONJ
ejpam-6467	67	25	(	(	PUNCT
ejpam-6467	67	26	2	2	NUM
ejpam-6467	67	27	)	)	PUNCT
ejpam-6467	67	28	.	.	PUNCT
ejpam-6467	68	1	the	the	DET
ejpam-6467	68	2	fractional	fractional	ADJ
ejpam-6467	68	3	proportional	proportional	ADJ
ejpam-6467	68	4	derivative	derivative	NOUN
ejpam-6467	68	5	of	of	ADP
ejpam-6467	68	6	a	a	DET
ejpam-6467	68	7	function	function	NOUN
ejpam-6467	68	8	with	with	ADP
ejpam-6467	68	9	respect	respect	NOUN
ejpam-6467	68	10	to	to	ADP
ejpam-6467	68	11	another	another	DET
ejpam-6467	68	12	function	function	NOUN
ejpam-6467	68	13	is	be	AUX
ejpam-6467	68	14	as	as	SCONJ
ejpam-6467	68	15	follows	follow	VERB
ejpam-6467	68	16	:	:	PUNCT
ejpam-6467	68	17	definition	definition	NOUN
ejpam-6467	68	18	5	5	NUM
ejpam-6467	68	19	.	.	PUNCT
ejpam-6467	69	1	[	[	X
ejpam-6467	69	2	28	28	NUM
ejpam-6467	69	3	]	]	PUNCT
ejpam-6467	69	4	for	for	ADP
ejpam-6467	69	5	γ	γ	X
ejpam-6467	69	6	∈	∈	PROPN
ejpam-6467	69	7	(	(	PUNCT
ejpam-6467	69	8	0	0	NUM
ejpam-6467	69	9	,	,	PUNCT
ejpam-6467	69	10	1	1	NUM
ejpam-6467	69	11	]	]	PUNCT
ejpam-6467	69	12	,	,	PUNCT
ejpam-6467	69	13	ξ	ξ	PROPN
ejpam-6467	69	14	∈	∈	PROPN
ejpam-6467	69	15	c	c	NOUN
ejpam-6467	69	16	,	,	PUNCT
ejpam-6467	69	17	such	such	ADJ
ejpam-6467	69	18	that	that	SCONJ
ejpam-6467	69	19	for	for	ADP
ejpam-6467	69	20	all	all	PRON
ejpam-6467	69	21	κ	κ	PART
ejpam-6467	69	22	∈	∈	PROPN
ejpam-6467	69	23	ℜ	ℜ	PROPN
ejpam-6467	69	24	,	,	PUNCT
ejpam-6467	69	25	ℜ(ξ	ℜ(ξ	X
ejpam-6467	69	26	)	)	PUNCT
ejpam-6467	69	27	>	>	PUNCT
ejpam-6467	69	28	0,ω	0,ω	VERB
ejpam-6467	69	29	∈	∈	PROPN
ejpam-6467	69	30	c[a	c[a	NOUN
ejpam-6467	69	31	,	,	PUNCT
ejpam-6467	69	32	b	b	X
ejpam-6467	69	33	]	]	X
ejpam-6467	69	34	where	where	SCONJ
ejpam-6467	69	35	ω′	ω′	X
ejpam-6467	69	36	>	>	X
ejpam-6467	69	37	0	0	PROPN
ejpam-6467	69	38	,	,	PUNCT
ejpam-6467	69	39	we	we	PRON
ejpam-6467	69	40	define	define	VERB
ejpam-6467	69	41	left	left	ADJ
ejpam-6467	69	42	and	and	CCONJ
ejpam-6467	69	43	right	right	ADJ
ejpam-6467	69	44	fractional	fractional	ADJ
ejpam-6467	69	45	integrals	integral	NOUN
ejpam-6467	69	46	of	of	ADP
ejpam-6467	69	47	f	f	PROPN
ejpam-6467	69	48	with	with	ADP
ejpam-6467	69	49	respect	respect	NOUN
ejpam-6467	69	50	to	to	ADP
ejpam-6467	69	51	ω	ω	NUM
ejpam-6467	69	52	by	by	ADP
ejpam-6467	69	53	(	(	PUNCT
ejpam-6467	69	54	ai	ai	VERB
ejpam-6467	69	55	ξ	ξ	PROPN
ejpam-6467	69	56	,	,	PUNCT
ejpam-6467	69	57	γ	γ	X
ejpam-6467	69	58	,	,	PUNCT
ejpam-6467	69	59	ωf	ωf	X
ejpam-6467	69	60	)	)	PUNCT
ejpam-6467	69	61	(	(	PUNCT
ejpam-6467	69	62	κ	κ	NOUN
ejpam-6467	69	63	)	)	PUNCT
ejpam-6467	69	64	=	=	SYM
ejpam-6467	69	65	1	1	NUM
ejpam-6467	69	66	γξγ	γξγ	NOUN
ejpam-6467	69	67	(	(	PUNCT
ejpam-6467	69	68	ξ	ξ	NOUN
ejpam-6467	69	69	)	)	PUNCT
ejpam-6467	69	70	∫	∫	PROPN
ejpam-6467	69	71	κ	κ	PROPN
ejpam-6467	69	72	a	a	DET
ejpam-6467	69	73	e	e	PROPN
ejpam-6467	69	74	γ−1	γ−1	PROPN
ejpam-6467	69	75	γ	γ	X
ejpam-6467	69	76	(	(	PUNCT
ejpam-6467	69	77	ω(κ)−ω(µ	ω(κ)−ω(µ	NOUN
ejpam-6467	69	78	)	)	PUNCT
ejpam-6467	69	79	)	)	PUNCT
ejpam-6467	70	1	(	(	PUNCT
ejpam-6467	70	2	ω	ω	X
ejpam-6467	70	3	(	(	PUNCT
ejpam-6467	70	4	κ)−	κ)−	PROPN
ejpam-6467	70	5	ω	ω	PROPN
ejpam-6467	70	6	(	(	PUNCT
ejpam-6467	70	7	µ))ξ−1ω′(µ)f	µ))ξ−1ω′(µ)f	PROPN
ejpam-6467	70	8	(	(	PUNCT
ejpam-6467	70	9	µ	µ	NOUN
ejpam-6467	70	10	)	)	PUNCT
ejpam-6467	70	11	dµ	dµ	PROPN
ejpam-6467	70	12	(	(	PUNCT
ejpam-6467	70	13	12	12	NUM
ejpam-6467	70	14	)	)	PUNCT
ejpam-6467	70	15	and	and	CCONJ
ejpam-6467	70	16	(	(	PUNCT
ejpam-6467	70	17	iξ	iξ	PROPN
ejpam-6467	70	18	,	,	PUNCT
ejpam-6467	70	19	γ	γ	X
ejpam-6467	70	20	,	,	PUNCT
ejpam-6467	70	21	ωb	ωb	PROPN
ejpam-6467	70	22	f	f	NOUN
ejpam-6467	70	23	)	)	PUNCT
ejpam-6467	70	24	(	(	PUNCT
ejpam-6467	70	25	κ	κ	NOUN
ejpam-6467	70	26	)	)	PUNCT
ejpam-6467	70	27	=	=	SYM
ejpam-6467	70	28	1	1	NUM
ejpam-6467	70	29	γξγ	γξγ	NOUN
ejpam-6467	70	30	(	(	PUNCT
ejpam-6467	70	31	ξ	ξ	NOUN
ejpam-6467	70	32	)	)	PUNCT
ejpam-6467	70	33	∫	∫	PROPN
ejpam-6467	70	34	b	b	PROPN
ejpam-6467	70	35	κ	κ	PROPN
ejpam-6467	70	36	e	e	PROPN
ejpam-6467	70	37	γ−1	γ−1	PROPN
ejpam-6467	70	38	γ	γ	X
ejpam-6467	70	39	(	(	PUNCT
ejpam-6467	70	40	ω(µ)−ω(κ	ω(µ)−ω(κ	NUM
ejpam-6467	70	41	)	)	PUNCT
ejpam-6467	70	42	)	)	PUNCT
ejpam-6467	70	43	(	(	PUNCT
ejpam-6467	70	44	ω	ω	NOUN
ejpam-6467	70	45	(	(	PUNCT
ejpam-6467	70	46	µ)−	µ)−	PROPN
ejpam-6467	70	47	ω	ω	PROPN
ejpam-6467	70	48	(	(	PUNCT
ejpam-6467	70	49	κ))ξ−1ω′(µ)f	κ))ξ−1ω′(µ)f	X
ejpam-6467	70	50	(	(	PUNCT
ejpam-6467	70	51	µ	µ	NOUN
ejpam-6467	70	52	)	)	PUNCT
ejpam-6467	70	53	dµ.	dµ.	NOUN
ejpam-6467	70	54	(	(	PUNCT
ejpam-6467	70	55	13	13	NUM
ejpam-6467	70	56	)	)	PUNCT
ejpam-6467	70	57	remark	remark	NOUN
ejpam-6467	70	58	2	2	NUM
ejpam-6467	70	59	.	.	PUNCT
ejpam-6467	71	1	if	if	SCONJ
ejpam-6467	71	2	we	we	PRON
ejpam-6467	71	3	choose	choose	VERB
ejpam-6467	71	4	ω(y	ω(y	PROPN
ejpam-6467	71	5	)	)	PUNCT
ejpam-6467	71	6	=	=	SYM
ejpam-6467	71	7	y	y	PROPN
ejpam-6467	71	8	in	in	ADP
ejpam-6467	71	9	the	the	DET
ejpam-6467	71	10	integral	integral	ADJ
ejpam-6467	71	11	formulas	formula	NOUN
ejpam-6467	71	12	(	(	PUNCT
ejpam-6467	71	13	12	12	NUM
ejpam-6467	71	14	)	)	PUNCT
ejpam-6467	71	15	and	and	CCONJ
ejpam-6467	71	16	(	(	PUNCT
ejpam-6467	71	17	13	13	NUM
ejpam-6467	71	18	)	)	PUNCT
ejpam-6467	71	19	,	,	PUNCT
ejpam-6467	71	20	we	we	PRON
ejpam-6467	71	21	find	find	VERB
ejpam-6467	71	22	(	(	PUNCT
ejpam-6467	71	23	10	10	NUM
ejpam-6467	71	24	)	)	PUNCT
ejpam-6467	71	25	and	and	CCONJ
ejpam-6467	71	26	(	(	PUNCT
ejpam-6467	71	27	11	11	NUM
ejpam-6467	71	28	)	)	PUNCT
ejpam-6467	71	29	.	.	PUNCT
ejpam-6467	72	1	remark	remark	NOUN
ejpam-6467	72	2	3	3	NUM
ejpam-6467	72	3	.	.	PUNCT
ejpam-6467	73	1	if	if	SCONJ
ejpam-6467	73	2	we	we	PRON
ejpam-6467	73	3	choose	choose	VERB
ejpam-6467	73	4	ω(y	ω(y	PROPN
ejpam-6467	73	5	)	)	PUNCT
ejpam-6467	73	6	=	=	SYM
ejpam-6467	73	7	y	y	PROPN
ejpam-6467	73	8	and	and	CCONJ
ejpam-6467	73	9	γ	γ	X
ejpam-6467	73	10	=	=	SYM
ejpam-6467	73	11	1	1	NUM
ejpam-6467	73	12	in	in	ADP
ejpam-6467	73	13	the	the	DET
ejpam-6467	73	14	integral	integral	ADJ
ejpam-6467	73	15	formulas	formula	NOUN
ejpam-6467	73	16	(	(	PUNCT
ejpam-6467	73	17	12	12	NUM
ejpam-6467	73	18	)	)	PUNCT
ejpam-6467	73	19	and	and	CCONJ
ejpam-6467	73	20	(	(	PUNCT
ejpam-6467	73	21	13	13	NUM
ejpam-6467	73	22	)	)	PUNCT
ejpam-6467	73	23	,	,	PUNCT
ejpam-6467	73	24	we	we	PRON
ejpam-6467	73	25	find	find	VERB
ejpam-6467	73	26	(	(	PUNCT
ejpam-6467	73	27	1	1	NUM
ejpam-6467	73	28	)	)	PUNCT
ejpam-6467	73	29	and	and	CCONJ
ejpam-6467	73	30	(	(	PUNCT
ejpam-6467	73	31	2	2	NUM
ejpam-6467	73	32	)	)	PUNCT
ejpam-6467	73	33	.	.	PUNCT
ejpam-6467	74	1	remark	remark	VERB
ejpam-6467	74	2	4	4	NUM
ejpam-6467	74	3	.	.	PUNCT
ejpam-6467	75	1	if	if	SCONJ
ejpam-6467	75	2	we	we	PRON
ejpam-6467	75	3	choose	choose	VERB
ejpam-6467	75	4	γ	γ	X
ejpam-6467	75	5	=	=	SYM
ejpam-6467	75	6	1	1	NUM
ejpam-6467	75	7	in	in	ADP
ejpam-6467	75	8	the	the	DET
ejpam-6467	75	9	integral	integral	ADJ
ejpam-6467	75	10	formulas	formula	NOUN
ejpam-6467	75	11	(	(	PUNCT
ejpam-6467	75	12	12	12	NUM
ejpam-6467	75	13	)	)	PUNCT
ejpam-6467	75	14	and	and	CCONJ
ejpam-6467	75	15	(	(	PUNCT
ejpam-6467	75	16	13	13	NUM
ejpam-6467	75	17	)	)	PUNCT
ejpam-6467	75	18	,	,	PUNCT
ejpam-6467	75	19	we	we	PRON
ejpam-6467	75	20	find	find	VERB
ejpam-6467	75	21	(	(	PUNCT
ejpam-6467	75	22	4	4	NUM
ejpam-6467	75	23	)	)	PUNCT
ejpam-6467	75	24	and	and	CCONJ
ejpam-6467	75	25	(	(	PUNCT
ejpam-6467	75	26	5	5	NUM
ejpam-6467	75	27	)	)	PUNCT
ejpam-6467	75	28	.	.	PUNCT
ejpam-6467	76	1	in	in	ADP
ejpam-6467	76	2	fractional	fractional	ADJ
ejpam-6467	76	3	calculus	calculus	NOUN
ejpam-6467	76	4	,	,	PUNCT
ejpam-6467	76	5	the	the	DET
ejpam-6467	76	6	proportional	proportional	ADJ
ejpam-6467	76	7	fractional	fractional	ADJ
ejpam-6467	76	8	integrals	integral	NOUN
ejpam-6467	76	9	with	with	ADP
ejpam-6467	76	10	respect	respect	NOUN
ejpam-6467	76	11	to	to	ADP
ejpam-6467	76	12	another	another	DET
ejpam-6467	76	13	function	function	NOUN
ejpam-6467	76	14	are	be	AUX
ejpam-6467	76	15	an	an	DET
ejpam-6467	76	16	advanced	advanced	ADJ
ejpam-6467	76	17	topic	topic	NOUN
ejpam-6467	76	18	.	.	PUNCT
ejpam-6467	77	1	with	with	ADP
ejpam-6467	77	2	a	a	DET
ejpam-6467	77	3	specific	specific	ADJ
ejpam-6467	77	4	emphasis	emphasis	NOUN
ejpam-6467	77	5	on	on	ADP
ejpam-6467	77	6	synchronous	synchronous	ADJ
ejpam-6467	77	7	,	,	PUNCT
ejpam-6467	77	8	monotonic	monotonic	ADJ
ejpam-6467	77	9	and	and	CCONJ
ejpam-6467	77	10	bounded	bounded	ADJ
ejpam-6467	77	11	functions	function	NOUN
ejpam-6467	77	12	,	,	PUNCT
ejpam-6467	77	13	it	it	PRON
ejpam-6467	77	14	entails	entail	VERB
ejpam-6467	77	15	integrating	integrate	VERB
ejpam-6467	77	16	a	a	DET
ejpam-6467	77	17	function	function	NOUN
ejpam-6467	77	18	using	use	VERB
ejpam-6467	77	19	a	a	DET
ejpam-6467	77	20	fractional	fractional	ADJ
ejpam-6467	77	21	order	order	NOUN
ejpam-6467	77	22	that	that	PRON
ejpam-6467	77	23	is	be	AUX
ejpam-6467	77	24	proportionate	proportionate	ADJ
ejpam-6467	77	25	to	to	ADP
ejpam-6467	77	26	another	another	DET
ejpam-6467	77	27	function	function	NOUN
ejpam-6467	77	28	.	.	PUNCT
ejpam-6467	78	1	in	in	ADP
ejpam-6467	78	2	contrast	contrast	NOUN
ejpam-6467	78	3	to	to	ADP
ejpam-6467	78	4	monotonic	monotonic	ADJ
ejpam-6467	78	5	functions	function	NOUN
ejpam-6467	78	6	,	,	PUNCT
ejpam-6467	78	7	which	which	PRON
ejpam-6467	78	8	either	either	CCONJ
ejpam-6467	78	9	continuously	continuously	ADV
ejpam-6467	78	10	rise	rise	VERB
ejpam-6467	78	11	or	or	CCONJ
ejpam-6467	78	12	decrease	decrease	NOUN
ejpam-6467	78	13	,	,	PUNCT
ejpam-6467	78	14	synchronous	synchronous	ADJ
ejpam-6467	78	15	functions	function	NOUN
ejpam-6467	78	16	change	change	VERB
ejpam-6467	78	17	jointly	jointly	ADV
ejpam-6467	78	18	in	in	ADP
ejpam-6467	78	19	a	a	DET
ejpam-6467	78	20	predictable	predictable	ADJ
ejpam-6467	78	21	way	way	NOUN
ejpam-6467	78	22	.	.	PUNCT
ejpam-6467	79	1	j.	j.	PROPN
ejpam-6467	79	2	nasir	nasir	PROPN
ejpam-6467	79	3	,	,	PUNCT
ejpam-6467	79	4	h.	h.	PROPN
ejpam-6467	79	5	qawaqneh	qawaqneh	PROPN
ejpam-6467	79	6	,	,	PUNCT
ejpam-6467	79	7	h.	h.	PROPN
ejpam-6467	79	8	aydi	aydi	VERB
ejpam-6467	79	9	/	/	SYM
ejpam-6467	79	10	eur	eur	NOUN
ejpam-6467	79	11	.	.	PUNCT
ejpam-6467	80	1	j.	j.	PROPN
ejpam-6467	80	2	pure	pure	PROPN
ejpam-6467	80	3	appl	appl	PROPN
ejpam-6467	80	4	.	.	PROPN
ejpam-6467	80	5	math	math	PROPN
ejpam-6467	80	6	,	,	PUNCT
ejpam-6467	80	7	18	18	NUM
ejpam-6467	80	8	(	(	PUNCT
ejpam-6467	80	9	3	3	NUM
ejpam-6467	80	10	)	)	PUNCT
ejpam-6467	80	11	(	(	PUNCT
ejpam-6467	80	12	2025	2025	NUM
ejpam-6467	80	13	)	)	PUNCT
ejpam-6467	80	14	,	,	PUNCT
ejpam-6467	80	15	6467	6467	NUM
ejpam-6467	80	16	5	5	NUM
ejpam-6467	80	17	of	of	ADP
ejpam-6467	80	18	16	16	NUM
ejpam-6467	80	19	2	2	NUM
ejpam-6467	80	20	.	.	PUNCT
ejpam-6467	80	21	main	main	ADJ
ejpam-6467	80	22	results	result	NOUN
ejpam-6467	80	23	the	the	DET
ejpam-6467	80	24	development	development	NOUN
ejpam-6467	80	25	of	of	ADP
ejpam-6467	80	26	new	new	ADJ
ejpam-6467	80	27	integral	integral	ADJ
ejpam-6467	80	28	inequalities	inequality	NOUN
ejpam-6467	80	29	involving	involve	VERB
ejpam-6467	80	30	the	the	DET
ejpam-6467	80	31	ω	ω	ADJ
ejpam-6467	80	32	-	-	PUNCT
ejpam-6467	80	33	proportional	proportional	ADJ
ejpam-6467	80	34	fractional	fractional	ADJ
ejpam-6467	80	35	integral	integral	NOUN
ejpam-6467	80	36	of	of	ADP
ejpam-6467	80	37	a	a	DET
ejpam-6467	80	38	function	function	NOUN
ejpam-6467	80	39	with	with	ADP
ejpam-6467	80	40	respect	respect	NOUN
ejpam-6467	80	41	to	to	ADP
ejpam-6467	80	42	another	another	DET
ejpam-6467	80	43	function	function	NOUN
ejpam-6467	80	44	marks	mark	VERB
ejpam-6467	80	45	a	a	DET
ejpam-6467	80	46	significant	significant	ADJ
ejpam-6467	80	47	advancement	advancement	NOUN
ejpam-6467	80	48	in	in	ADP
ejpam-6467	80	49	the	the	DET
ejpam-6467	80	50	theory	theory	NOUN
ejpam-6467	80	51	of	of	ADP
ejpam-6467	80	52	fractional	fractional	ADJ
ejpam-6467	80	53	calculus	calculus	NOUN
ejpam-6467	80	54	and	and	CCONJ
ejpam-6467	80	55	its	its	PRON
ejpam-6467	80	56	applications	application	NOUN
ejpam-6467	80	57	.	.	PUNCT
ejpam-6467	81	1	these	these	DET
ejpam-6467	81	2	inequalities	inequality	NOUN
ejpam-6467	81	3	are	be	AUX
ejpam-6467	81	4	formulated	formulate	VERB
ejpam-6467	81	5	within	within	ADP
ejpam-6467	81	6	a	a	DET
ejpam-6467	81	7	generalized	generalized	ADJ
ejpam-6467	81	8	integral	integral	ADJ
ejpam-6467	81	9	framework	framework	NOUN
ejpam-6467	81	10	where	where	SCONJ
ejpam-6467	81	11	the	the	DET
ejpam-6467	81	12	integration	integration	NOUN
ejpam-6467	81	13	process	process	NOUN
ejpam-6467	81	14	is	be	AUX
ejpam-6467	81	15	governed	govern	VERB
ejpam-6467	81	16	by	by	ADP
ejpam-6467	81	17	a	a	DET
ejpam-6467	81	18	proportionality	proportionality	NOUN
ejpam-6467	81	19	function	function	NOUN
ejpam-6467	81	20	ω	ω	PROPN
ejpam-6467	81	21	,	,	PUNCT
ejpam-6467	81	22	and	and	CCONJ
ejpam-6467	81	23	the	the	DET
ejpam-6467	81	24	integration	integration	NOUN
ejpam-6467	81	25	is	be	AUX
ejpam-6467	81	26	carried	carry	VERB
ejpam-6467	81	27	out	out	ADP
ejpam-6467	81	28	with	with	ADP
ejpam-6467	81	29	respect	respect	NOUN
ejpam-6467	81	30	to	to	ADP
ejpam-6467	81	31	another	another	DET
ejpam-6467	81	32	function	function	NOUN
ejpam-6467	81	33	rather	rather	ADV
ejpam-6467	81	34	than	than	ADP
ejpam-6467	81	35	the	the	DET
ejpam-6467	81	36	independent	independent	ADJ
ejpam-6467	81	37	variable	variable	NOUN
ejpam-6467	81	38	.	.	PUNCT
ejpam-6467	82	1	such	such	DET
ejpam-6467	82	2	an	an	DET
ejpam-6467	82	3	approach	approach	NOUN
ejpam-6467	82	4	allows	allow	VERB
ejpam-6467	82	5	for	for	ADP
ejpam-6467	82	6	a	a	DET
ejpam-6467	82	7	more	more	ADV
ejpam-6467	82	8	flexible	flexible	ADJ
ejpam-6467	82	9	and	and	CCONJ
ejpam-6467	82	10	context	context	NOUN
ejpam-6467	82	11	-	-	PUNCT
ejpam-6467	82	12	sensitive	sensitive	ADJ
ejpam-6467	82	13	analysis	analysis	NOUN
ejpam-6467	82	14	of	of	ADP
ejpam-6467	82	15	functions	function	NOUN
ejpam-6467	82	16	,	,	PUNCT
ejpam-6467	82	17	especially	especially	ADV
ejpam-6467	82	18	those	those	PRON
ejpam-6467	82	19	exhibiting	exhibit	VERB
ejpam-6467	82	20	memory	memory	NOUN
ejpam-6467	82	21	effects	effect	NOUN
ejpam-6467	82	22	,	,	PUNCT
ejpam-6467	82	23	scaling	scale	VERB
ejpam-6467	82	24	behavior	behavior	NOUN
ejpam-6467	82	25	,	,	PUNCT
ejpam-6467	82	26	or	or	CCONJ
ejpam-6467	82	27	singularities	singularity	NOUN
ejpam-6467	82	28	.	.	PUNCT
ejpam-6467	83	1	in	in	ADP
ejpam-6467	83	2	this	this	DET
ejpam-6467	83	3	section	section	NOUN
ejpam-6467	83	4	,	,	PUNCT
ejpam-6467	83	5	we	we	PRON
ejpam-6467	83	6	prove	prove	VERB
ejpam-6467	83	7	some	some	DET
ejpam-6467	83	8	ω−proportional	ω−proportional	NOUN
ejpam-6467	83	9	fractional	fractional	ADJ
ejpam-6467	83	10	integrals	integral	NOUN
ejpam-6467	83	11	of	of	ADP
ejpam-6467	83	12	a	a	DET
ejpam-6467	83	13	function	function	NOUN
ejpam-6467	83	14	with	with	ADP
ejpam-6467	83	15	respect	respect	NOUN
ejpam-6467	83	16	to	to	ADP
ejpam-6467	83	17	another	another	DET
ejpam-6467	83	18	function	function	NOUN
ejpam-6467	83	19	by	by	ADP
ejpam-6467	83	20	synchronous	synchronous	ADJ
ejpam-6467	83	21	and	and	CCONJ
ejpam-6467	83	22	monotonic	monotonic	ADJ
ejpam-6467	83	23	functions	function	NOUN
ejpam-6467	83	24	on	on	ADP
ejpam-6467	83	25	[	[	X
ejpam-6467	83	26	0,+∞	0,+∞	NUM
ejpam-6467	83	27	)	)	PUNCT
ejpam-6467	83	28	.	.	PUNCT
ejpam-6467	84	1	theorem	theorem	NOUN
ejpam-6467	84	2	1	1	NUM
ejpam-6467	84	3	.	.	PUNCT
ejpam-6467	84	4	suppose	suppose	VERB
ejpam-6467	84	5	that	that	SCONJ
ejpam-6467	84	6	f	f	PROPN
ejpam-6467	84	7	and	and	CCONJ
ejpam-6467	84	8	g	g	PROPN
ejpam-6467	84	9	are	be	AUX
ejpam-6467	84	10	two	two	NUM
ejpam-6467	84	11	synchronous	synchronous	ADJ
ejpam-6467	84	12	functions	function	NOUN
ejpam-6467	84	13	on	on	ADP
ejpam-6467	84	14	[	[	X
ejpam-6467	84	15	0,+∞	0,+∞	NUM
ejpam-6467	84	16	)	)	PUNCT
ejpam-6467	84	17	,	,	PUNCT
ejpam-6467	84	18	then	then	ADV
ejpam-6467	84	19	for	for	ADP
ejpam-6467	84	20	κ	κ	PROPN
ejpam-6467	84	21	>	>	X
ejpam-6467	84	22	a	a	PROPN
ejpam-6467	84	23	,	,	PUNCT
ejpam-6467	84	24	ξ	ξ	PROPN
ejpam-6467	84	25	∈	∈	PROPN
ejpam-6467	84	26	c	c	X
ejpam-6467	84	27	,	,	PUNCT
ejpam-6467	84	28	ℜ(ξ	ℜ(ξ	X
ejpam-6467	84	29	)	)	PUNCT
ejpam-6467	84	30	>	>	X
ejpam-6467	84	31	0	0	NUM
ejpam-6467	84	32	,	,	PUNCT
ejpam-6467	84	33	γ	γ	X
ejpam-6467	84	34	∈	∈	X
ejpam-6467	84	35	(	(	PUNCT
ejpam-6467	84	36	0	0	NUM
ejpam-6467	84	37	,	,	PUNCT
ejpam-6467	84	38	1	1	NUM
ejpam-6467	84	39	]	]	PUNCT
ejpam-6467	84	40	,	,	PUNCT
ejpam-6467	84	41	the	the	DET
ejpam-6467	84	42	following	follow	VERB
ejpam-6467	84	43	ω−proportional	ω−proportional	ADJ
ejpam-6467	84	44	holds	hold	NOUN
ejpam-6467	84	45	:	:	PUNCT
ejpam-6467	84	46	[	[	PUNCT
ejpam-6467	84	47	(	(	PUNCT
ejpam-6467	84	48	ai	ai	VERB
ejpam-6467	84	49	ξ	ξ	PROPN
ejpam-6467	84	50	,	,	PUNCT
ejpam-6467	84	51	γ	γ	X
ejpam-6467	84	52	,	,	PUNCT
ejpam-6467	84	53	ωfg	ωfg	NOUN
ejpam-6467	84	54	)	)	PUNCT
ejpam-6467	84	55	(	(	PUNCT
ejpam-6467	84	56	κ	κ	NOUN
ejpam-6467	84	57	)	)	PUNCT
ejpam-6467	84	58	]	]	PUNCT
ejpam-6467	84	59	.	.	PUNCT
ejpam-6467	85	1	[	[	X
ejpam-6467	85	2	ai	ai	VERB
ejpam-6467	85	3	ξ	ξ	PROPN
ejpam-6467	85	4	,	,	PUNCT
ejpam-6467	85	5	γ	γ	X
ejpam-6467	85	6	,	,	PUNCT
ejpam-6467	85	7	ω(1	ω(1	PROPN
ejpam-6467	85	8	)	)	PUNCT
ejpam-6467	85	9	]	]	PUNCT
ejpam-6467	85	10	≥	≥	X
ejpam-6467	85	11	[	[	PUNCT
ejpam-6467	85	12	(	(	PUNCT
ejpam-6467	85	13	ai	ai	VERB
ejpam-6467	85	14	ξ	ξ	PROPN
ejpam-6467	85	15	,	,	PUNCT
ejpam-6467	85	16	γ	γ	X
ejpam-6467	85	17	,	,	PUNCT
ejpam-6467	85	18	ωf	ωf	X
ejpam-6467	85	19	)	)	PUNCT
ejpam-6467	85	20	(	(	PUNCT
ejpam-6467	85	21	κ	κ	NOUN
ejpam-6467	85	22	)	)	PUNCT
ejpam-6467	85	23	]	]	PUNCT
ejpam-6467	85	24	.	.	PUNCT
ejpam-6467	86	1	[	[	PUNCT
ejpam-6467	86	2	(	(	PUNCT
ejpam-6467	86	3	ai	ai	VERB
ejpam-6467	86	4	ξ	ξ	PROPN
ejpam-6467	86	5	,	,	PUNCT
ejpam-6467	86	6	γ	γ	X
ejpam-6467	86	7	,	,	PUNCT
ejpam-6467	86	8	ωg	ωg	X
ejpam-6467	86	9	)	)	PUNCT
ejpam-6467	86	10	(	(	PUNCT
ejpam-6467	86	11	κ	κ	NOUN
ejpam-6467	86	12	)	)	PUNCT
ejpam-6467	86	13	]	]	PUNCT
ejpam-6467	86	14	.	.	PUNCT
ejpam-6467	87	1	(	(	PUNCT
ejpam-6467	87	2	14	14	NUM
ejpam-6467	87	3	)	)	PUNCT
ejpam-6467	87	4	proof	proof	NOUN
ejpam-6467	87	5	.	.	PUNCT
ejpam-6467	88	1	if	if	SCONJ
ejpam-6467	88	2	f	f	PROPN
ejpam-6467	88	3	and	and	CCONJ
ejpam-6467	88	4	g	g	PROPN
ejpam-6467	88	5	are	be	AUX
ejpam-6467	88	6	synchronous	synchronous	ADJ
ejpam-6467	88	7	functions	function	NOUN
ejpam-6467	88	8	,	,	PUNCT
ejpam-6467	88	9	we	we	PRON
ejpam-6467	88	10	have	have	VERB
ejpam-6467	88	11	[	[	X
ejpam-6467	88	12	f	f	X
ejpam-6467	88	13	(	(	PUNCT
ejpam-6467	88	14	τ)−	τ)−	PROPN
ejpam-6467	88	15	f	f	PROPN
ejpam-6467	88	16	(	(	PUNCT
ejpam-6467	88	17	ϱ)][g	ϱ)][g	PROPN
ejpam-6467	88	18	(	(	PUNCT
ejpam-6467	88	19	τ)−	τ)−	PROPN
ejpam-6467	88	20	g	g	PROPN
ejpam-6467	88	21	(	(	PUNCT
ejpam-6467	88	22	ϱ	ϱ	PROPN
ejpam-6467	88	23	)	)	PUNCT
ejpam-6467	88	24	]	]	PUNCT
ejpam-6467	88	25	≥	≥	NOUN
ejpam-6467	88	26	0	0	NUM
ejpam-6467	88	27	.	.	PUNCT
ejpam-6467	89	1	(	(	PUNCT
ejpam-6467	89	2	15	15	NUM
ejpam-6467	89	3	)	)	PUNCT
ejpam-6467	89	4	from	from	ADP
ejpam-6467	89	5	(	(	PUNCT
ejpam-6467	89	6	15	15	NUM
ejpam-6467	89	7	)	)	PUNCT
ejpam-6467	89	8	,	,	PUNCT
ejpam-6467	89	9	it	it	PRON
ejpam-6467	89	10	can	can	AUX
ejpam-6467	89	11	be	be	AUX
ejpam-6467	89	12	written	write	VERB
ejpam-6467	89	13	as	as	ADP
ejpam-6467	89	14	f	f	PROPN
ejpam-6467	89	15	(	(	PUNCT
ejpam-6467	89	16	τ	τ	PROPN
ejpam-6467	89	17	)	)	PUNCT
ejpam-6467	89	18	g	g	PROPN
ejpam-6467	89	19	(	(	PUNCT
ejpam-6467	89	20	τ	τ	X
ejpam-6467	89	21	)	)	PUNCT
ejpam-6467	90	1	+	+	NUM
ejpam-6467	90	2	f	f	X
ejpam-6467	90	3	(	(	PUNCT
ejpam-6467	90	4	ϱ	ϱ	PROPN
ejpam-6467	90	5	)	)	PUNCT
ejpam-6467	90	6	g	g	NOUN
ejpam-6467	90	7	(	(	PUNCT
ejpam-6467	90	8	ϱ	ϱ	PROPN
ejpam-6467	90	9	)	)	PUNCT
ejpam-6467	90	10	≥	≥	NOUN
ejpam-6467	90	11	f	f	PROPN
ejpam-6467	90	12	(	(	PUNCT
ejpam-6467	90	13	τ	τ	PROPN
ejpam-6467	90	14	)	)	PUNCT
ejpam-6467	91	1	g	g	PROPN
ejpam-6467	91	2	(	(	PUNCT
ejpam-6467	91	3	ϱ	ϱ	PROPN
ejpam-6467	91	4	)	)	PUNCT
ejpam-6467	91	5	+	+	NUM
ejpam-6467	91	6	f	f	X
ejpam-6467	91	7	(	(	PUNCT
ejpam-6467	91	8	ϱ	ϱ	PROPN
ejpam-6467	91	9	)	)	PUNCT
ejpam-6467	91	10	g	g	PROPN
ejpam-6467	91	11	(	(	PUNCT
ejpam-6467	91	12	τ	τ	PROPN
ejpam-6467	91	13	)	)	PUNCT
ejpam-6467	91	14	.	.	PUNCT
ejpam-6467	92	1	(	(	PUNCT
ejpam-6467	92	2	16	16	X
ejpam-6467	92	3	)	)	PUNCT
ejpam-6467	92	4	multiplying	multiply	VERB
ejpam-6467	92	5	both	both	DET
ejpam-6467	92	6	sides	side	NOUN
ejpam-6467	92	7	of	of	ADP
ejpam-6467	92	8	(	(	PUNCT
ejpam-6467	92	9	16	16	NUM
ejpam-6467	92	10	)	)	PUNCT
ejpam-6467	92	11	with	with	ADP
ejpam-6467	92	12	1	1	NUM
ejpam-6467	92	13	γξγ(ξ	γξγ(ξ	NOUN
ejpam-6467	92	14	)	)	PUNCT
ejpam-6467	93	1	e	e	PROPN
ejpam-6467	93	2	γ−1	γ−1	PROPN
ejpam-6467	93	3	γ	γ	X
ejpam-6467	93	4	(	(	PUNCT
ejpam-6467	93	5	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	93	6	)	)	PUNCT
ejpam-6467	93	7	)	)	PUNCT
ejpam-6467	93	8	(	(	PUNCT
ejpam-6467	93	9	ω	ω	X
ejpam-6467	93	10	(	(	PUNCT
ejpam-6467	93	11	κ)−	κ)−	PROPN
ejpam-6467	93	12	ω	ω	PROPN
ejpam-6467	93	13	(	(	PUNCT
ejpam-6467	93	14	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	93	15	(	(	PUNCT
ejpam-6467	93	16	τ	τ	PROPN
ejpam-6467	93	17	)	)	PUNCT
ejpam-6467	93	18	,	,	PUNCT
ejpam-6467	93	19	τ	τ	PROPN
ejpam-6467	93	20	∈	∈	PROPN
ejpam-6467	93	21	(	(	PUNCT
ejpam-6467	93	22	a	a	PRON
ejpam-6467	93	23	,	,	PUNCT
ejpam-6467	93	24	κ	κ	NOUN
ejpam-6467	93	25	)	)	PUNCT
ejpam-6467	93	26	with	with	ADP
ejpam-6467	93	27	respect	respect	NOUN
ejpam-6467	93	28	to	to	ADP
ejpam-6467	93	29	τ	τ	PROPN
ejpam-6467	93	30	,	,	PUNCT
ejpam-6467	93	31	we	we	PRON
ejpam-6467	93	32	obtain	obtain	VERB
ejpam-6467	93	33	f	f	PROPN
ejpam-6467	93	34	(	(	PUNCT
ejpam-6467	93	35	τ	τ	PROPN
ejpam-6467	93	36	)	)	PUNCT
ejpam-6467	93	37	g	g	PROPN
ejpam-6467	93	38	(	(	PUNCT
ejpam-6467	93	39	τ	τ	PROPN
ejpam-6467	93	40	)	)	PUNCT
ejpam-6467	93	41	1	1	NUM
ejpam-6467	93	42	γξγ	γξγ	NOUN
ejpam-6467	93	43	(	(	PUNCT
ejpam-6467	93	44	ξ	ξ	NOUN
ejpam-6467	93	45	)	)	PUNCT
ejpam-6467	93	46	e	e	PROPN
ejpam-6467	93	47	γ−1	γ−1	PROPN
ejpam-6467	93	48	γ	γ	X
ejpam-6467	93	49	(	(	PUNCT
ejpam-6467	93	50	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	93	51	)	)	PUNCT
ejpam-6467	93	52	)	)	PUNCT
ejpam-6467	94	1	(	(	PUNCT
ejpam-6467	94	2	ω	ω	X
ejpam-6467	94	3	(	(	PUNCT
ejpam-6467	94	4	κ)−	κ)−	PROPN
ejpam-6467	94	5	ω	ω	PROPN
ejpam-6467	94	6	(	(	PUNCT
ejpam-6467	94	7	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	94	8	(	(	PUNCT
ejpam-6467	94	9	τ)+	τ)+	NUM
ejpam-6467	94	10	f	f	X
ejpam-6467	94	11	(	(	PUNCT
ejpam-6467	94	12	ϱ	ϱ	PROPN
ejpam-6467	94	13	)	)	PUNCT
ejpam-6467	94	14	g	g	NOUN
ejpam-6467	94	15	(	(	PUNCT
ejpam-6467	94	16	ϱ	ϱ	PROPN
ejpam-6467	94	17	)	)	PUNCT
ejpam-6467	94	18	1	1	NUM
ejpam-6467	94	19	γξγ	γξγ	NOUN
ejpam-6467	94	20	(	(	PUNCT
ejpam-6467	94	21	ξ	ξ	NOUN
ejpam-6467	94	22	)	)	PUNCT
ejpam-6467	94	23	e	e	PROPN
ejpam-6467	94	24	γ−1	γ−1	PROPN
ejpam-6467	94	25	γ	γ	X
ejpam-6467	94	26	(	(	PUNCT
ejpam-6467	94	27	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	94	28	)	)	PUNCT
ejpam-6467	94	29	)	)	PUNCT
ejpam-6467	94	30	(	(	PUNCT
ejpam-6467	94	31	ω	ω	X
ejpam-6467	94	32	(	(	PUNCT
ejpam-6467	94	33	κ)−	κ)−	PROPN
ejpam-6467	94	34	ω	ω	PROPN
ejpam-6467	94	35	(	(	PUNCT
ejpam-6467	94	36	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	94	37	(	(	PUNCT
ejpam-6467	94	38	τ	τ	PROPN
ejpam-6467	94	39	)	)	PUNCT
ejpam-6467	94	40	≥	≥	PROPN
ejpam-6467	94	41	f	f	PROPN
ejpam-6467	94	42	(	(	PUNCT
ejpam-6467	94	43	τ	τ	PROPN
ejpam-6467	94	44	)	)	PUNCT
ejpam-6467	94	45	g	g	PROPN
ejpam-6467	94	46	(	(	PUNCT
ejpam-6467	94	47	ϱ	ϱ	PROPN
ejpam-6467	94	48	)	)	PUNCT
ejpam-6467	94	49	1	1	NUM
ejpam-6467	94	50	γξγ	γξγ	NOUN
ejpam-6467	94	51	(	(	PUNCT
ejpam-6467	94	52	ξ	ξ	NOUN
ejpam-6467	94	53	)	)	PUNCT
ejpam-6467	94	54	e	e	PROPN
ejpam-6467	94	55	γ−1	γ−1	PROPN
ejpam-6467	94	56	γ	γ	X
ejpam-6467	94	57	(	(	PUNCT
ejpam-6467	94	58	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	94	59	)	)	PUNCT
ejpam-6467	94	60	)	)	PUNCT
ejpam-6467	94	61	(	(	PUNCT
ejpam-6467	94	62	ω	ω	X
ejpam-6467	94	63	(	(	PUNCT
ejpam-6467	94	64	κ)−	κ)−	PROPN
ejpam-6467	94	65	ω	ω	PROPN
ejpam-6467	94	66	(	(	PUNCT
ejpam-6467	94	67	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	94	68	(	(	PUNCT
ejpam-6467	94	69	τ	τ	X
ejpam-6467	94	70	)	)	PUNCT
ejpam-6467	94	71	+	+	NUM
ejpam-6467	94	72	f	f	X
ejpam-6467	94	73	(	(	PUNCT
ejpam-6467	94	74	ϱ	ϱ	PROPN
ejpam-6467	94	75	)	)	PUNCT
ejpam-6467	94	76	g	g	PROPN
ejpam-6467	94	77	(	(	PUNCT
ejpam-6467	94	78	τ	τ	PROPN
ejpam-6467	94	79	)	)	PUNCT
ejpam-6467	94	80	1	1	NUM
ejpam-6467	94	81	γξγ	γξγ	NOUN
ejpam-6467	94	82	(	(	PUNCT
ejpam-6467	94	83	ξ	ξ	NOUN
ejpam-6467	94	84	)	)	PUNCT
ejpam-6467	94	85	e	e	PROPN
ejpam-6467	94	86	γ−1	γ−1	PROPN
ejpam-6467	94	87	γ	γ	X
ejpam-6467	94	88	(	(	PUNCT
ejpam-6467	94	89	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	94	90	)	)	PUNCT
ejpam-6467	94	91	)	)	PUNCT
ejpam-6467	94	92	(	(	PUNCT
ejpam-6467	94	93	ω	ω	X
ejpam-6467	94	94	(	(	PUNCT
ejpam-6467	94	95	κ)−	κ)−	PROPN
ejpam-6467	94	96	ω	ω	PROPN
ejpam-6467	94	97	(	(	PUNCT
ejpam-6467	94	98	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	94	99	(	(	PUNCT
ejpam-6467	94	100	τ	τ	X
ejpam-6467	94	101	)	)	PUNCT
ejpam-6467	94	102	.	.	PUNCT
ejpam-6467	95	1	(	(	PUNCT
ejpam-6467	95	2	17	17	X
ejpam-6467	95	3	)	)	PUNCT
ejpam-6467	95	4	integrating	integrate	VERB
ejpam-6467	95	5	the	the	DET
ejpam-6467	95	6	inequality	inequality	NOUN
ejpam-6467	95	7	(	(	PUNCT
ejpam-6467	95	8	17	17	NUM
ejpam-6467	95	9	)	)	PUNCT
ejpam-6467	95	10	at	at	ADP
ejpam-6467	95	11	(	(	PUNCT
ejpam-6467	95	12	a	a	DET
ejpam-6467	95	13	,	,	PUNCT
ejpam-6467	95	14	κ	κ	NOUN
ejpam-6467	95	15	)	)	PUNCT
ejpam-6467	95	16	with	with	ADP
ejpam-6467	95	17	respect	respect	NOUN
ejpam-6467	95	18	to	to	ADP
ejpam-6467	95	19	τ	τ	PROPN
ejpam-6467	95	20	,	,	PUNCT
ejpam-6467	95	21	we	we	PRON
ejpam-6467	95	22	have	have	VERB
ejpam-6467	95	23	1	1	NUM
ejpam-6467	95	24	γξγ	γξγ	NOUN
ejpam-6467	95	25	(	(	PUNCT
ejpam-6467	95	26	ξ	ξ	NOUN
ejpam-6467	95	27	)	)	PUNCT
ejpam-6467	95	28	∫	∫	PROPN
ejpam-6467	95	29	t	t	PROPN
ejpam-6467	95	30	a	a	DET
ejpam-6467	95	31	e	e	PROPN
ejpam-6467	95	32	γ−1	γ−1	PROPN
ejpam-6467	95	33	γ	γ	X
ejpam-6467	95	34	(	(	PUNCT
ejpam-6467	95	35	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	95	36	)	)	PUNCT
ejpam-6467	95	37	)	)	PUNCT
ejpam-6467	96	1	(	(	PUNCT
ejpam-6467	96	2	ω	ω	X
ejpam-6467	96	3	(	(	PUNCT
ejpam-6467	96	4	κ)−	κ)−	PROPN
ejpam-6467	96	5	ω	ω	PROPN
ejpam-6467	96	6	(	(	PUNCT
ejpam-6467	96	7	τ))ξ−1	τ))ξ−1	PROPN
ejpam-6467	96	8	f	f	PROPN
ejpam-6467	96	9	(	(	PUNCT
ejpam-6467	96	10	τ	τ	PROPN
ejpam-6467	96	11	)	)	PUNCT
ejpam-6467	96	12	g	g	PROPN
ejpam-6467	96	13	(	(	PUNCT
ejpam-6467	96	14	τ	τ	PROPN
ejpam-6467	96	15	)	)	PUNCT
ejpam-6467	96	16	ω′	ω′	PROPN
ejpam-6467	96	17	(	(	PUNCT
ejpam-6467	96	18	τ	τ	PROPN
ejpam-6467	96	19	)	)	PUNCT
ejpam-6467	96	20	dτ+	dτ+	PROPN
ejpam-6467	96	21	j.	j.	PROPN
ejpam-6467	96	22	nasir	nasir	PROPN
ejpam-6467	96	23	,	,	PUNCT
ejpam-6467	96	24	h.	h.	PROPN
ejpam-6467	96	25	qawaqneh	qawaqneh	PROPN
ejpam-6467	96	26	,	,	PUNCT
ejpam-6467	96	27	h.	h.	PROPN
ejpam-6467	96	28	aydi	aydi	VERB
ejpam-6467	96	29	/	/	SYM
ejpam-6467	96	30	eur	eur	NOUN
ejpam-6467	96	31	.	.	PUNCT
ejpam-6467	97	1	j.	j.	PROPN
ejpam-6467	97	2	pure	pure	PROPN
ejpam-6467	97	3	appl	appl	PROPN
ejpam-6467	97	4	.	.	PROPN
ejpam-6467	97	5	math	math	PROPN
ejpam-6467	97	6	,	,	PUNCT
ejpam-6467	97	7	18	18	NUM
ejpam-6467	97	8	(	(	PUNCT
ejpam-6467	97	9	3	3	NUM
ejpam-6467	97	10	)	)	PUNCT
ejpam-6467	97	11	(	(	PUNCT
ejpam-6467	97	12	2025	2025	NUM
ejpam-6467	97	13	)	)	PUNCT
ejpam-6467	97	14	,	,	PUNCT
ejpam-6467	97	15	6467	6467	NUM
ejpam-6467	97	16	6	6	NUM
ejpam-6467	97	17	of	of	ADP
ejpam-6467	97	18	16	16	NUM
ejpam-6467	97	19	1	1	NUM
ejpam-6467	97	20	γξγ	γξγ	NOUN
ejpam-6467	97	21	(	(	PUNCT
ejpam-6467	97	22	ξ	ξ	NOUN
ejpam-6467	97	23	)	)	PUNCT
ejpam-6467	97	24	∫	∫	PROPN
ejpam-6467	97	25	t	t	PROPN
ejpam-6467	97	26	a	a	DET
ejpam-6467	97	27	e	e	PROPN
ejpam-6467	97	28	γ−1	γ−1	PROPN
ejpam-6467	97	29	γ	γ	X
ejpam-6467	97	30	(	(	PUNCT
ejpam-6467	97	31	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	97	32	)	)	PUNCT
ejpam-6467	97	33	)	)	PUNCT
ejpam-6467	98	1	(	(	PUNCT
ejpam-6467	98	2	ω	ω	X
ejpam-6467	98	3	(	(	PUNCT
ejpam-6467	98	4	κ)−	κ)−	PROPN
ejpam-6467	98	5	ω	ω	PROPN
ejpam-6467	98	6	(	(	PUNCT
ejpam-6467	98	7	τ))ξ−1	τ))ξ−1	PROPN
ejpam-6467	98	8	f	f	PROPN
ejpam-6467	98	9	(	(	PUNCT
ejpam-6467	98	10	ϱ	ϱ	PROPN
ejpam-6467	98	11	)	)	PUNCT
ejpam-6467	98	12	g	g	NOUN
ejpam-6467	98	13	(	(	PUNCT
ejpam-6467	98	14	ϱ	ϱ	PROPN
ejpam-6467	98	15	)	)	PUNCT
ejpam-6467	98	16	ω′	ω′	PROPN
ejpam-6467	98	17	(	(	PUNCT
ejpam-6467	98	18	τ	τ	PROPN
ejpam-6467	98	19	)	)	PUNCT
ejpam-6467	98	20	dτ	dτ	NOUN
ejpam-6467	98	21	≥	≥	PROPN
ejpam-6467	98	22	1	1	NUM
ejpam-6467	98	23	γξγ	γξγ	NOUN
ejpam-6467	98	24	(	(	PUNCT
ejpam-6467	98	25	ξ	ξ	NOUN
ejpam-6467	98	26	)	)	PUNCT
ejpam-6467	98	27	∫	∫	PROPN
ejpam-6467	98	28	κ	κ	PROPN
ejpam-6467	98	29	a	a	DET
ejpam-6467	98	30	e	e	PROPN
ejpam-6467	98	31	γ−1	γ−1	PROPN
ejpam-6467	98	32	γ	γ	X
ejpam-6467	98	33	(	(	PUNCT
ejpam-6467	98	34	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	98	35	)	)	PUNCT
ejpam-6467	98	36	)	)	PUNCT
ejpam-6467	98	37	(	(	PUNCT
ejpam-6467	98	38	ω	ω	X
ejpam-6467	98	39	(	(	PUNCT
ejpam-6467	98	40	κ)−	κ)−	PROPN
ejpam-6467	98	41	ω	ω	PROPN
ejpam-6467	98	42	(	(	PUNCT
ejpam-6467	98	43	τ))ξ−1	τ))ξ−1	PROPN
ejpam-6467	98	44	f	f	PROPN
ejpam-6467	98	45	(	(	PUNCT
ejpam-6467	98	46	τ	τ	PROPN
ejpam-6467	98	47	)	)	PUNCT
ejpam-6467	98	48	g	g	PROPN
ejpam-6467	98	49	(	(	PUNCT
ejpam-6467	98	50	ϱ	ϱ	PROPN
ejpam-6467	98	51	)	)	PUNCT
ejpam-6467	98	52	ω′	ω′	PROPN
ejpam-6467	98	53	(	(	PUNCT
ejpam-6467	98	54	τ	τ	PROPN
ejpam-6467	98	55	)	)	PUNCT
ejpam-6467	98	56	dτ	dτ	NOUN
ejpam-6467	98	57	+	+	CCONJ
ejpam-6467	98	58	1	1	NUM
ejpam-6467	98	59	γξγ	γξγ	NOUN
ejpam-6467	98	60	(	(	PUNCT
ejpam-6467	98	61	ξ	ξ	NOUN
ejpam-6467	98	62	)	)	PUNCT
ejpam-6467	98	63	∫	∫	PROPN
ejpam-6467	98	64	κ	κ	PROPN
ejpam-6467	98	65	a	a	DET
ejpam-6467	98	66	e	e	PROPN
ejpam-6467	98	67	γ−1	γ−1	PROPN
ejpam-6467	98	68	γ	γ	X
ejpam-6467	98	69	(	(	PUNCT
ejpam-6467	98	70	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	98	71	)	)	PUNCT
ejpam-6467	98	72	)	)	PUNCT
ejpam-6467	98	73	(	(	PUNCT
ejpam-6467	98	74	ω	ω	X
ejpam-6467	98	75	(	(	PUNCT
ejpam-6467	98	76	κ)−	κ)−	PROPN
ejpam-6467	98	77	ω	ω	PROPN
ejpam-6467	98	78	(	(	PUNCT
ejpam-6467	98	79	τ))ξ−1	τ))ξ−1	PROPN
ejpam-6467	98	80	f	f	PROPN
ejpam-6467	98	81	(	(	PUNCT
ejpam-6467	98	82	ϱ	ϱ	PROPN
ejpam-6467	98	83	)	)	PUNCT
ejpam-6467	98	84	g	g	PROPN
ejpam-6467	98	85	(	(	PUNCT
ejpam-6467	98	86	τ	τ	PROPN
ejpam-6467	98	87	)	)	PUNCT
ejpam-6467	98	88	ω′	ω′	PROPN
ejpam-6467	98	89	(	(	PUNCT
ejpam-6467	98	90	τ	τ	PROPN
ejpam-6467	98	91	)	)	PUNCT
ejpam-6467	98	92	dτ	dτ	NOUN
ejpam-6467	98	93	.	.	PUNCT
ejpam-6467	99	1	[	[	PUNCT
ejpam-6467	99	2	(	(	PUNCT
ejpam-6467	99	3	ai	ai	VERB
ejpam-6467	99	4	ξ	ξ	PROPN
ejpam-6467	99	5	,	,	PUNCT
ejpam-6467	99	6	γ	γ	X
ejpam-6467	99	7	,	,	PUNCT
ejpam-6467	99	8	ωfg	ωfg	NOUN
ejpam-6467	99	9	)	)	PUNCT
ejpam-6467	99	10	(	(	PUNCT
ejpam-6467	99	11	κ	κ	NOUN
ejpam-6467	99	12	)	)	PUNCT
ejpam-6467	99	13	]	]	PUNCT
ejpam-6467	100	1	+	+	CCONJ
ejpam-6467	100	2	f	f	X
ejpam-6467	100	3	(	(	PUNCT
ejpam-6467	100	4	ϱ	ϱ	PROPN
ejpam-6467	100	5	)	)	PUNCT
ejpam-6467	100	6	g	g	NOUN
ejpam-6467	100	7	(	(	PUNCT
ejpam-6467	100	8	ϱ	ϱ	PROPN
ejpam-6467	100	9	)	)	PUNCT
ejpam-6467	100	10	[	[	X
ejpam-6467	100	11	ai	ai	VERB
ejpam-6467	100	12	ξ	ξ	PROPN
ejpam-6467	100	13	,	,	PUNCT
ejpam-6467	100	14	γ	γ	X
ejpam-6467	100	15	,	,	PUNCT
ejpam-6467	100	16	ω(1	ω(1	PROPN
ejpam-6467	100	17	)	)	PUNCT
ejpam-6467	100	18	]	]	PUNCT
ejpam-6467	100	19	≥	≥	PROPN
ejpam-6467	100	20	g	g	PROPN
ejpam-6467	100	21	(	(	PUNCT
ejpam-6467	100	22	ϱ	ϱ	PROPN
ejpam-6467	100	23	)	)	PUNCT
ejpam-6467	100	24	[	[	PUNCT
ejpam-6467	100	25	(	(	PUNCT
ejpam-6467	100	26	ai	ai	VERB
ejpam-6467	100	27	ξ	ξ	PROPN
ejpam-6467	100	28	,	,	PUNCT
ejpam-6467	100	29	γ	γ	X
ejpam-6467	100	30	,	,	PUNCT
ejpam-6467	100	31	ωf	ωf	X
ejpam-6467	100	32	)	)	PUNCT
ejpam-6467	100	33	(	(	PUNCT
ejpam-6467	100	34	κ	κ	NOUN
ejpam-6467	100	35	)	)	PUNCT
ejpam-6467	100	36	]	]	PUNCT
ejpam-6467	101	1	+	+	CCONJ
ejpam-6467	101	2	f	f	X
ejpam-6467	101	3	(	(	PUNCT
ejpam-6467	101	4	ϱ	ϱ	PROPN
ejpam-6467	101	5	)	)	PUNCT
ejpam-6467	101	6	[	[	PUNCT
ejpam-6467	101	7	(	(	PUNCT
ejpam-6467	101	8	ai	ai	VERB
ejpam-6467	101	9	ξ	ξ	PROPN
ejpam-6467	101	10	,	,	PUNCT
ejpam-6467	101	11	γ	γ	X
ejpam-6467	101	12	,	,	PUNCT
ejpam-6467	101	13	ωg	ωg	X
ejpam-6467	101	14	)	)	PUNCT
ejpam-6467	101	15	(	(	PUNCT
ejpam-6467	101	16	κ	κ	NOUN
ejpam-6467	101	17	)	)	PUNCT
ejpam-6467	101	18	]	]	PUNCT
ejpam-6467	101	19	.	.	PUNCT
ejpam-6467	102	1	(	(	PUNCT
ejpam-6467	102	2	18	18	NUM
ejpam-6467	102	3	)	)	PUNCT
ejpam-6467	102	4	multiplying	multiply	VERB
ejpam-6467	102	5	both	both	DET
ejpam-6467	102	6	sides	side	NOUN
ejpam-6467	102	7	of	of	ADP
ejpam-6467	102	8	(	(	PUNCT
ejpam-6467	102	9	18	18	NUM
ejpam-6467	102	10	)	)	PUNCT
ejpam-6467	102	11	with	with	ADP
ejpam-6467	102	12	1	1	NUM
ejpam-6467	102	13	γξγ(ξ	γξγ(ξ	NOUN
ejpam-6467	102	14	)	)	PUNCT
ejpam-6467	103	1	e	e	PROPN
ejpam-6467	103	2	γ−1	γ−1	PROPN
ejpam-6467	103	3	γ	γ	X
ejpam-6467	103	4	(	(	PUNCT
ejpam-6467	103	5	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	103	6	)	)	PUNCT
ejpam-6467	103	7	)	)	PUNCT
ejpam-6467	103	8	(	(	PUNCT
ejpam-6467	103	9	ω	ω	X
ejpam-6467	103	10	(	(	PUNCT
ejpam-6467	103	11	κ)−	κ)−	PROPN
ejpam-6467	103	12	ω	ω	PROPN
ejpam-6467	103	13	(	(	PUNCT
ejpam-6467	103	14	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	103	15	(	(	PUNCT
ejpam-6467	103	16	ϱ	ϱ	NOUN
ejpam-6467	103	17	)	)	PUNCT
ejpam-6467	103	18	,	,	PUNCT
ejpam-6467	103	19	ϱ	ϱ	PROPN
ejpam-6467	103	20	∈	∈	PROPN
ejpam-6467	103	21	(	(	PUNCT
ejpam-6467	103	22	a	a	PRON
ejpam-6467	103	23	,	,	PUNCT
ejpam-6467	103	24	κ	κ	NOUN
ejpam-6467	103	25	)	)	PUNCT
ejpam-6467	103	26	with	with	ADP
ejpam-6467	103	27	respect	respect	NOUN
ejpam-6467	103	28	to	to	ADP
ejpam-6467	103	29	ϱ	ϱ	VERB
ejpam-6467	103	30	,	,	PUNCT
ejpam-6467	103	31	we	we	PRON
ejpam-6467	103	32	obtain	obtain	VERB
ejpam-6467	103	33	[	[	PUNCT
ejpam-6467	103	34	(	(	PUNCT
ejpam-6467	103	35	ai	ai	VERB
ejpam-6467	103	36	ξ	ξ	PROPN
ejpam-6467	103	37	,	,	PUNCT
ejpam-6467	103	38	γ	γ	X
ejpam-6467	103	39	,	,	PUNCT
ejpam-6467	103	40	ωfg	ωfg	NOUN
ejpam-6467	103	41	)	)	PUNCT
ejpam-6467	103	42	(	(	PUNCT
ejpam-6467	103	43	κ	κ	NOUN
ejpam-6467	103	44	)	)	PUNCT
ejpam-6467	103	45	]	]	PUNCT
ejpam-6467	103	46	1	1	NUM
ejpam-6467	103	47	γξγ	γξγ	NOUN
ejpam-6467	103	48	(	(	PUNCT
ejpam-6467	103	49	ξ	ξ	NOUN
ejpam-6467	103	50	)	)	PUNCT
ejpam-6467	103	51	e	e	PROPN
ejpam-6467	103	52	γ−1	γ−1	PROPN
ejpam-6467	103	53	γ	γ	X
ejpam-6467	103	54	(	(	PUNCT
ejpam-6467	103	55	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	103	56	)	)	PUNCT
ejpam-6467	103	57	)	)	PUNCT
ejpam-6467	103	58	(	(	PUNCT
ejpam-6467	103	59	ω	ω	X
ejpam-6467	103	60	(	(	PUNCT
ejpam-6467	103	61	κ)−	κ)−	PROPN
ejpam-6467	103	62	ω	ω	PROPN
ejpam-6467	103	63	(	(	PUNCT
ejpam-6467	103	64	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	103	65	(	(	PUNCT
ejpam-6467	103	66	ϱ)+	ϱ)+	PROPN
ejpam-6467	103	67	f	f	X
ejpam-6467	103	68	(	(	PUNCT
ejpam-6467	103	69	ϱ	ϱ	PROPN
ejpam-6467	103	70	)	)	PUNCT
ejpam-6467	103	71	g	g	NOUN
ejpam-6467	103	72	(	(	PUNCT
ejpam-6467	103	73	ϱ	ϱ	PROPN
ejpam-6467	103	74	)	)	PUNCT
ejpam-6467	104	1	[	[	X
ejpam-6467	104	2	ai	ai	VERB
ejpam-6467	104	3	ξ	ξ	PROPN
ejpam-6467	104	4	,	,	PUNCT
ejpam-6467	104	5	γ	γ	X
ejpam-6467	104	6	,	,	PUNCT
ejpam-6467	104	7	ω(1	ω(1	PROPN
ejpam-6467	104	8	)	)	PUNCT
ejpam-6467	104	9	]	]	PUNCT
ejpam-6467	104	10	1	1	NUM
ejpam-6467	104	11	γξγ	γξγ	NOUN
ejpam-6467	104	12	(	(	PUNCT
ejpam-6467	104	13	ξ	ξ	NOUN
ejpam-6467	104	14	)	)	PUNCT
ejpam-6467	104	15	e	e	PROPN
ejpam-6467	104	16	γ−1	γ−1	PROPN
ejpam-6467	104	17	γ	γ	X
ejpam-6467	104	18	(	(	PUNCT
ejpam-6467	104	19	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	104	20	)	)	PUNCT
ejpam-6467	104	21	)	)	PUNCT
ejpam-6467	105	1	(	(	PUNCT
ejpam-6467	105	2	ω	ω	X
ejpam-6467	105	3	(	(	PUNCT
ejpam-6467	105	4	κ)−	κ)−	PROPN
ejpam-6467	105	5	ω	ω	PROPN
ejpam-6467	105	6	(	(	PUNCT
ejpam-6467	105	7	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	105	8	(	(	PUNCT
ejpam-6467	105	9	ϱ	ϱ	PROPN
ejpam-6467	105	10	)	)	PUNCT
ejpam-6467	105	11	≥	≥	NOUN
ejpam-6467	105	12	g	g	PROPN
ejpam-6467	105	13	(	(	PUNCT
ejpam-6467	105	14	ϱ	ϱ	PROPN
ejpam-6467	105	15	)	)	PUNCT
ejpam-6467	105	16	[	[	PUNCT
ejpam-6467	105	17	(	(	PUNCT
ejpam-6467	105	18	ai	ai	VERB
ejpam-6467	105	19	ξ	ξ	PROPN
ejpam-6467	105	20	,	,	PUNCT
ejpam-6467	105	21	γ	γ	X
ejpam-6467	105	22	,	,	PUNCT
ejpam-6467	105	23	ωf	ωf	X
ejpam-6467	105	24	)	)	PUNCT
ejpam-6467	105	25	(	(	PUNCT
ejpam-6467	105	26	κ	κ	NOUN
ejpam-6467	105	27	)	)	PUNCT
ejpam-6467	105	28	]	]	PUNCT
ejpam-6467	105	29	1	1	NUM
ejpam-6467	105	30	γξγ	γξγ	NOUN
ejpam-6467	105	31	(	(	PUNCT
ejpam-6467	105	32	ξ	ξ	NOUN
ejpam-6467	105	33	)	)	PUNCT
ejpam-6467	105	34	e	e	PROPN
ejpam-6467	105	35	γ−1	γ−1	PROPN
ejpam-6467	105	36	γ	γ	X
ejpam-6467	105	37	(	(	PUNCT
ejpam-6467	105	38	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	105	39	)	)	PUNCT
ejpam-6467	105	40	)	)	PUNCT
ejpam-6467	105	41	(	(	PUNCT
ejpam-6467	105	42	ω	ω	X
ejpam-6467	105	43	(	(	PUNCT
ejpam-6467	105	44	κ)−	κ)−	PROPN
ejpam-6467	105	45	ω	ω	PROPN
ejpam-6467	105	46	(	(	PUNCT
ejpam-6467	105	47	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	105	48	(	(	PUNCT
ejpam-6467	105	49	ϱ	ϱ	NOUN
ejpam-6467	105	50	)	)	PUNCT
ejpam-6467	105	51	+	+	NUM
ejpam-6467	105	52	f	f	X
ejpam-6467	105	53	(	(	PUNCT
ejpam-6467	105	54	ϱ	ϱ	PROPN
ejpam-6467	105	55	)	)	PUNCT
ejpam-6467	105	56	[	[	PUNCT
ejpam-6467	105	57	(	(	PUNCT
ejpam-6467	105	58	ai	ai	VERB
ejpam-6467	105	59	ξ	ξ	PROPN
ejpam-6467	105	60	,	,	PUNCT
ejpam-6467	105	61	γ	γ	X
ejpam-6467	105	62	,	,	PUNCT
ejpam-6467	105	63	ωg	ωg	X
ejpam-6467	105	64	)	)	PUNCT
ejpam-6467	105	65	(	(	PUNCT
ejpam-6467	105	66	κ	κ	NOUN
ejpam-6467	105	67	)	)	PUNCT
ejpam-6467	105	68	]	]	PUNCT
ejpam-6467	105	69	1	1	NUM
ejpam-6467	105	70	γξγ	γξγ	NOUN
ejpam-6467	105	71	(	(	PUNCT
ejpam-6467	105	72	ξ	ξ	NOUN
ejpam-6467	105	73	)	)	PUNCT
ejpam-6467	105	74	e	e	PROPN
ejpam-6467	105	75	γ−1	γ−1	PROPN
ejpam-6467	105	76	γ	γ	X
ejpam-6467	105	77	(	(	PUNCT
ejpam-6467	105	78	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	105	79	)	)	PUNCT
ejpam-6467	105	80	)	)	PUNCT
ejpam-6467	105	81	(	(	PUNCT
ejpam-6467	105	82	ω	ω	X
ejpam-6467	105	83	(	(	PUNCT
ejpam-6467	105	84	κ)−	κ)−	PROPN
ejpam-6467	105	85	ω	ω	PROPN
ejpam-6467	105	86	(	(	PUNCT
ejpam-6467	105	87	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	105	88	(	(	PUNCT
ejpam-6467	105	89	ϱ	ϱ	NOUN
ejpam-6467	105	90	)	)	PUNCT
ejpam-6467	105	91	.	.	PUNCT
ejpam-6467	106	1	(	(	PUNCT
ejpam-6467	106	2	19	19	NUM
ejpam-6467	106	3	)	)	PUNCT
ejpam-6467	106	4	integrating	integrate	VERB
ejpam-6467	106	5	inequality	inequality	NOUN
ejpam-6467	106	6	(	(	PUNCT
ejpam-6467	106	7	19	19	NUM
ejpam-6467	106	8	)	)	PUNCT
ejpam-6467	106	9	at	at	ADP
ejpam-6467	106	10	(	(	PUNCT
ejpam-6467	106	11	a	a	DET
ejpam-6467	106	12	,	,	PUNCT
ejpam-6467	106	13	κ	κ	NOUN
ejpam-6467	106	14	)	)	PUNCT
ejpam-6467	106	15	with	with	ADP
ejpam-6467	106	16	respect	respect	NOUN
ejpam-6467	106	17	to	to	ADP
ejpam-6467	106	18	ϱ	ϱ	VERB
ejpam-6467	106	19	,	,	PUNCT
ejpam-6467	106	20	we	we	PRON
ejpam-6467	106	21	have	have	VERB
ejpam-6467	106	22	[	[	PUNCT
ejpam-6467	106	23	(	(	PUNCT
ejpam-6467	106	24	ai	ai	PROPN
ejpam-6467	106	25	ξ	ξ	PROPN
ejpam-6467	106	26	,	,	PUNCT
ejpam-6467	106	27	γ	γ	X
ejpam-6467	106	28	,	,	PUNCT
ejpam-6467	106	29	ωfg	ωfg	NOUN
ejpam-6467	106	30	)	)	PUNCT
ejpam-6467	106	31	(	(	PUNCT
ejpam-6467	106	32	κ	κ	NOUN
ejpam-6467	106	33	)	)	PUNCT
ejpam-6467	106	34	]	]	PUNCT
ejpam-6467	106	35	1	1	NUM
ejpam-6467	106	36	γξγ	γξγ	NOUN
ejpam-6467	106	37	(	(	PUNCT
ejpam-6467	106	38	ξ	ξ	NOUN
ejpam-6467	106	39	)	)	PUNCT
ejpam-6467	106	40	∫	∫	PROPN
ejpam-6467	106	41	κ	κ	PROPN
ejpam-6467	106	42	a	a	DET
ejpam-6467	106	43	e	e	PROPN
ejpam-6467	106	44	γ−1	γ−1	PROPN
ejpam-6467	106	45	γ	γ	X
ejpam-6467	106	46	(	(	PUNCT
ejpam-6467	106	47	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	106	48	)	)	PUNCT
ejpam-6467	106	49	)	)	PUNCT
ejpam-6467	107	1	(	(	PUNCT
ejpam-6467	107	2	ω	ω	X
ejpam-6467	107	3	(	(	PUNCT
ejpam-6467	107	4	κ)−	κ)−	PROPN
ejpam-6467	107	5	ω	ω	PROPN
ejpam-6467	107	6	(	(	PUNCT
ejpam-6467	107	7	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	107	8	(	(	PUNCT
ejpam-6467	107	9	ϱ	ϱ	NOUN
ejpam-6467	107	10	)	)	PUNCT
ejpam-6467	107	11	dϱ	dϱ	NOUN
ejpam-6467	108	1	+	+	CCONJ
ejpam-6467	108	2	[	[	X
ejpam-6467	108	3	ai	ai	VERB
ejpam-6467	108	4	ξ	ξ	PROPN
ejpam-6467	108	5	,	,	PUNCT
ejpam-6467	108	6	γ	γ	X
ejpam-6467	108	7	,	,	PUNCT
ejpam-6467	108	8	ω(1	ω(1	PROPN
ejpam-6467	108	9	)	)	PUNCT
ejpam-6467	108	10	]	]	PUNCT
ejpam-6467	108	11	1	1	NUM
ejpam-6467	108	12	γξγ	γξγ	NOUN
ejpam-6467	108	13	(	(	PUNCT
ejpam-6467	108	14	ξ	ξ	NOUN
ejpam-6467	108	15	)	)	PUNCT
ejpam-6467	108	16	∫	∫	PROPN
ejpam-6467	108	17	t	t	PROPN
ejpam-6467	108	18	a	a	DET
ejpam-6467	108	19	e	e	PROPN
ejpam-6467	108	20	γ−1	γ−1	PROPN
ejpam-6467	108	21	γ	γ	X
ejpam-6467	108	22	(	(	PUNCT
ejpam-6467	108	23	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	108	24	)	)	PUNCT
ejpam-6467	108	25	)	)	PUNCT
ejpam-6467	109	1	(	(	PUNCT
ejpam-6467	109	2	ω	ω	X
ejpam-6467	109	3	(	(	PUNCT
ejpam-6467	109	4	κ)−	κ)−	PROPN
ejpam-6467	109	5	ω	ω	PROPN
ejpam-6467	109	6	(	(	PUNCT
ejpam-6467	109	7	ϱ))ξ−1	ϱ))ξ−1	PROPN
ejpam-6467	109	8	f	f	X
ejpam-6467	109	9	(	(	PUNCT
ejpam-6467	109	10	ϱ	ϱ	PROPN
ejpam-6467	109	11	)	)	PUNCT
ejpam-6467	109	12	g	g	NOUN
ejpam-6467	109	13	(	(	PUNCT
ejpam-6467	109	14	ϱ	ϱ	PROPN
ejpam-6467	109	15	)	)	PUNCT
ejpam-6467	109	16	ω′	ω′	PROPN
ejpam-6467	109	17	(	(	PUNCT
ejpam-6467	109	18	ϱ	ϱ	PROPN
ejpam-6467	109	19	)	)	PUNCT
ejpam-6467	109	20	dϱ	dϱ	NOUN
ejpam-6467	109	21	≥	≥	NOUN
ejpam-6467	109	22	[	[	PUNCT
ejpam-6467	109	23	(	(	PUNCT
ejpam-6467	109	24	ai	ai	VERB
ejpam-6467	109	25	ξ	ξ	PROPN
ejpam-6467	109	26	,	,	PUNCT
ejpam-6467	109	27	γ	γ	X
ejpam-6467	109	28	,	,	PUNCT
ejpam-6467	109	29	ωf	ωf	X
ejpam-6467	109	30	)	)	PUNCT
ejpam-6467	109	31	(	(	PUNCT
ejpam-6467	109	32	κ	κ	NOUN
ejpam-6467	109	33	)	)	PUNCT
ejpam-6467	109	34	]	]	PUNCT
ejpam-6467	109	35	1	1	NUM
ejpam-6467	109	36	γξγ	γξγ	NOUN
ejpam-6467	109	37	(	(	PUNCT
ejpam-6467	109	38	ξ	ξ	NOUN
ejpam-6467	109	39	)	)	PUNCT
ejpam-6467	109	40	∫	∫	PROPN
ejpam-6467	109	41	κ	κ	PROPN
ejpam-6467	109	42	a	a	DET
ejpam-6467	109	43	e	e	PROPN
ejpam-6467	109	44	γ−1	γ−1	PROPN
ejpam-6467	109	45	γ	γ	X
ejpam-6467	109	46	(	(	PUNCT
ejpam-6467	109	47	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	109	48	)	)	PUNCT
ejpam-6467	109	49	)	)	PUNCT
ejpam-6467	110	1	(	(	PUNCT
ejpam-6467	110	2	ω	ω	X
ejpam-6467	110	3	(	(	PUNCT
ejpam-6467	110	4	κ)−	κ)−	PROPN
ejpam-6467	110	5	ω	ω	PROPN
ejpam-6467	110	6	(	(	PUNCT
ejpam-6467	110	7	ϱ))ξ−1	ϱ))ξ−1	PROPN
ejpam-6467	110	8	g	g	PROPN
ejpam-6467	110	9	(	(	PUNCT
ejpam-6467	110	10	ϱ	ϱ	PROPN
ejpam-6467	110	11	)	)	PUNCT
ejpam-6467	110	12	ω′	ω′	PROPN
ejpam-6467	110	13	(	(	PUNCT
ejpam-6467	110	14	ϱ	ϱ	PROPN
ejpam-6467	110	15	)	)	PUNCT
ejpam-6467	110	16	dϱ	dϱ	NOUN
ejpam-6467	110	17	+	+	CCONJ
ejpam-6467	110	18	[	[	PUNCT
ejpam-6467	110	19	(	(	PUNCT
ejpam-6467	110	20	ai	ai	VERB
ejpam-6467	110	21	ξ	ξ	PROPN
ejpam-6467	110	22	,	,	PUNCT
ejpam-6467	110	23	γ	γ	X
ejpam-6467	110	24	,	,	PUNCT
ejpam-6467	110	25	ωg	ωg	X
ejpam-6467	110	26	)	)	PUNCT
ejpam-6467	110	27	(	(	PUNCT
ejpam-6467	110	28	κ	κ	NOUN
ejpam-6467	110	29	)	)	PUNCT
ejpam-6467	110	30	]	]	PUNCT
ejpam-6467	110	31	1	1	NUM
ejpam-6467	110	32	γξγ	γξγ	NOUN
ejpam-6467	110	33	(	(	PUNCT
ejpam-6467	110	34	ξ	ξ	NOUN
ejpam-6467	110	35	)	)	PUNCT
ejpam-6467	110	36	∫	∫	PROPN
ejpam-6467	110	37	κ	κ	PROPN
ejpam-6467	110	38	a	a	DET
ejpam-6467	110	39	e	e	PROPN
ejpam-6467	110	40	γ−1	γ−1	PROPN
ejpam-6467	110	41	γ	γ	X
ejpam-6467	110	42	(	(	PUNCT
ejpam-6467	110	43	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	110	44	)	)	PUNCT
ejpam-6467	110	45	)	)	PUNCT
ejpam-6467	110	46	(	(	PUNCT
ejpam-6467	110	47	ω	ω	X
ejpam-6467	110	48	(	(	PUNCT
ejpam-6467	110	49	κ)−	κ)−	PROPN
ejpam-6467	110	50	ω	ω	PROPN
ejpam-6467	110	51	(	(	PUNCT
ejpam-6467	110	52	ϱ))ξ−1	ϱ))ξ−1	PROPN
ejpam-6467	110	53	f	f	X
ejpam-6467	110	54	(	(	PUNCT
ejpam-6467	110	55	ϱ	ϱ	PROPN
ejpam-6467	110	56	)	)	PUNCT
ejpam-6467	110	57	ω′	ω′	PROPN
ejpam-6467	110	58	(	(	PUNCT
ejpam-6467	110	59	ϱ	ϱ	PROPN
ejpam-6467	110	60	)	)	PUNCT
ejpam-6467	110	61	dϱ.	dϱ.	NOUN
ejpam-6467	110	62	therefore	therefore	ADV
ejpam-6467	110	63	,	,	PUNCT
ejpam-6467	110	64	the	the	DET
ejpam-6467	110	65	inequality	inequality	NOUN
ejpam-6467	110	66	can	can	AUX
ejpam-6467	110	67	be	be	AUX
ejpam-6467	110	68	written	write	VERB
ejpam-6467	110	69	as	as	ADP
ejpam-6467	110	70	[	[	PUNCT
ejpam-6467	110	71	(	(	PUNCT
ejpam-6467	110	72	ai	ai	PROPN
ejpam-6467	110	73	ξ	ξ	PROPN
ejpam-6467	110	74	,	,	PUNCT
ejpam-6467	110	75	γ	γ	X
ejpam-6467	110	76	,	,	PUNCT
ejpam-6467	110	77	ωfg	ωfg	NOUN
ejpam-6467	110	78	)	)	PUNCT
ejpam-6467	110	79	(	(	PUNCT
ejpam-6467	110	80	κ	κ	NOUN
ejpam-6467	110	81	)	)	PUNCT
ejpam-6467	110	82	]	]	PUNCT
ejpam-6467	110	83	.	.	PUNCT
ejpam-6467	111	1	[	[	X
ejpam-6467	111	2	ai	ai	VERB
ejpam-6467	111	3	ξ	ξ	PROPN
ejpam-6467	111	4	,	,	PUNCT
ejpam-6467	111	5	γ	γ	X
ejpam-6467	111	6	,	,	PUNCT
ejpam-6467	111	7	ω(1	ω(1	PROPN
ejpam-6467	111	8	)	)	PUNCT
ejpam-6467	111	9	]	]	PUNCT
ejpam-6467	111	10	≥	≥	X
ejpam-6467	111	11	[	[	PUNCT
ejpam-6467	111	12	(	(	PUNCT
ejpam-6467	111	13	ai	ai	VERB
ejpam-6467	111	14	ξ	ξ	PROPN
ejpam-6467	111	15	,	,	PUNCT
ejpam-6467	111	16	γ	γ	X
ejpam-6467	111	17	,	,	PUNCT
ejpam-6467	111	18	ωf	ωf	X
ejpam-6467	111	19	)	)	PUNCT
ejpam-6467	111	20	(	(	PUNCT
ejpam-6467	111	21	κ	κ	NOUN
ejpam-6467	111	22	)	)	PUNCT
ejpam-6467	111	23	]	]	PUNCT
ejpam-6467	111	24	.	.	PUNCT
ejpam-6467	112	1	[	[	PUNCT
ejpam-6467	112	2	(	(	PUNCT
ejpam-6467	112	3	ai	ai	VERB
ejpam-6467	112	4	ξ	ξ	PROPN
ejpam-6467	112	5	,	,	PUNCT
ejpam-6467	112	6	γ	γ	X
ejpam-6467	112	7	,	,	PUNCT
ejpam-6467	112	8	ωg	ωg	X
ejpam-6467	112	9	)	)	PUNCT
ejpam-6467	112	10	(	(	PUNCT
ejpam-6467	112	11	κ	κ	NOUN
ejpam-6467	112	12	)	)	PUNCT
ejpam-6467	112	13	]	]	PUNCT
ejpam-6467	112	14	.	.	PUNCT
ejpam-6467	113	1	this	this	PRON
ejpam-6467	113	2	completes	complete	VERB
ejpam-6467	113	3	the	the	DET
ejpam-6467	113	4	proof	proof	NOUN
ejpam-6467	113	5	.	.	PUNCT
ejpam-6467	114	1	j.	j.	PROPN
ejpam-6467	114	2	nasir	nasir	PROPN
ejpam-6467	114	3	,	,	PUNCT
ejpam-6467	114	4	h.	h.	PROPN
ejpam-6467	114	5	qawaqneh	qawaqneh	PROPN
ejpam-6467	114	6	,	,	PUNCT
ejpam-6467	114	7	h.	h.	PROPN
ejpam-6467	114	8	aydi	aydi	VERB
ejpam-6467	114	9	/	/	SYM
ejpam-6467	114	10	eur	eur	NOUN
ejpam-6467	114	11	.	.	PUNCT
ejpam-6467	115	1	j.	j.	PROPN
ejpam-6467	115	2	pure	pure	PROPN
ejpam-6467	115	3	appl	appl	PROPN
ejpam-6467	115	4	.	.	PROPN
ejpam-6467	115	5	math	math	PROPN
ejpam-6467	115	6	,	,	PUNCT
ejpam-6467	115	7	18	18	NUM
ejpam-6467	115	8	(	(	PUNCT
ejpam-6467	115	9	3	3	NUM
ejpam-6467	115	10	)	)	PUNCT
ejpam-6467	115	11	(	(	PUNCT
ejpam-6467	115	12	2025	2025	NUM
ejpam-6467	115	13	)	)	PUNCT
ejpam-6467	115	14	,	,	PUNCT
ejpam-6467	115	15	6467	6467	NUM
ejpam-6467	115	16	7	7	NUM
ejpam-6467	115	17	of	of	ADP
ejpam-6467	115	18	16	16	NUM
ejpam-6467	115	19	theorem	theorem	NOUN
ejpam-6467	115	20	2	2	NUM
ejpam-6467	115	21	.	.	PUNCT
ejpam-6467	115	22	suppose	suppose	VERB
ejpam-6467	115	23	that	that	SCONJ
ejpam-6467	115	24	f	f	PROPN
ejpam-6467	115	25	and	and	CCONJ
ejpam-6467	115	26	g	g	PROPN
ejpam-6467	115	27	are	be	AUX
ejpam-6467	115	28	two	two	NUM
ejpam-6467	115	29	synchronous	synchronous	ADJ
ejpam-6467	115	30	functions	function	NOUN
ejpam-6467	115	31	on	on	ADP
ejpam-6467	115	32	[	[	X
ejpam-6467	115	33	0,+∞	0,+∞	NUM
ejpam-6467	115	34	)	)	PUNCT
ejpam-6467	115	35	,	,	PUNCT
ejpam-6467	115	36	then	then	ADV
ejpam-6467	115	37	for	for	SCONJ
ejpam-6467	115	38	κ	κ	PROPN
ejpam-6467	115	39	>	>	X
ejpam-6467	115	40	a	a	PROPN
ejpam-6467	115	41	,	,	PUNCT
ejpam-6467	115	42	ξ	ξ	PROPN
ejpam-6467	115	43	∈	∈	PROPN
ejpam-6467	115	44	c	c	X
ejpam-6467	115	45	,	,	PUNCT
ejpam-6467	115	46	ξ	ξ	PROPN
ejpam-6467	115	47	>	>	X
ejpam-6467	115	48	0	0	PROPN
ejpam-6467	115	49	,	,	PUNCT
ejpam-6467	115	50	β	β	X
ejpam-6467	115	51	>	>	X
ejpam-6467	115	52	0	0	PROPN
ejpam-6467	115	53	,	,	PUNCT
ejpam-6467	115	54	γ	γ	X
ejpam-6467	115	55	∈	∈	X
ejpam-6467	115	56	(	(	PUNCT
ejpam-6467	115	57	0	0	NUM
ejpam-6467	115	58	,	,	PUNCT
ejpam-6467	115	59	1	1	NUM
ejpam-6467	115	60	]	]	PUNCT
ejpam-6467	115	61	,	,	PUNCT
ejpam-6467	115	62	the	the	DET
ejpam-6467	115	63	following	follow	VERB
ejpam-6467	115	64	ω−proportional	ω−proportional	ADJ
ejpam-6467	115	65	holds	hold	NOUN
ejpam-6467	115	66	:	:	PUNCT
ejpam-6467	115	67	[	[	PUNCT
ejpam-6467	115	68	(	(	PUNCT
ejpam-6467	115	69	ai	ai	VERB
ejpam-6467	115	70	ξ	ξ	PROPN
ejpam-6467	115	71	,	,	PUNCT
ejpam-6467	115	72	γ	γ	X
ejpam-6467	115	73	,	,	PUNCT
ejpam-6467	115	74	ωfg	ωfg	NOUN
ejpam-6467	115	75	)	)	PUNCT
ejpam-6467	115	76	(	(	PUNCT
ejpam-6467	115	77	κ	κ	NOUN
ejpam-6467	115	78	)	)	PUNCT
ejpam-6467	115	79	]	]	PUNCT
ejpam-6467	115	80	.	.	PUNCT
ejpam-6467	116	1	[	[	X
ejpam-6467	116	2	ai	ai	VERB
ejpam-6467	116	3	β	β	X
ejpam-6467	116	4	,	,	PUNCT
ejpam-6467	116	5	γ	γ	X
ejpam-6467	116	6	,	,	PUNCT
ejpam-6467	116	7	ω(1	ω(1	PROPN
ejpam-6467	116	8	)	)	PUNCT
ejpam-6467	116	9	]	]	PUNCT
ejpam-6467	117	1	+	+	CCONJ
ejpam-6467	117	2	[	[	PUNCT
ejpam-6467	117	3	(	(	PUNCT
ejpam-6467	117	4	ai	ai	VERB
ejpam-6467	117	5	β	β	X
ejpam-6467	117	6	,	,	PUNCT
ejpam-6467	117	7	γ	γ	X
ejpam-6467	117	8	,	,	PUNCT
ejpam-6467	117	9	ωfg	ωfg	NOUN
ejpam-6467	117	10	)	)	PUNCT
ejpam-6467	117	11	(	(	PUNCT
ejpam-6467	117	12	κ)][ai	κ)][ai	PROPN
ejpam-6467	117	13	ξ	ξ	X
ejpam-6467	117	14	,	,	PUNCT
ejpam-6467	117	15	γ	γ	X
ejpam-6467	117	16	,	,	PUNCT
ejpam-6467	117	17	ω(1	ω(1	PROPN
ejpam-6467	117	18	)	)	PUNCT
ejpam-6467	117	19	]	]	PUNCT
ejpam-6467	117	20	≥	≥	X
ejpam-6467	117	21	[	[	PUNCT
ejpam-6467	117	22	(	(	PUNCT
ejpam-6467	117	23	ai	ai	VERB
ejpam-6467	117	24	ξ	ξ	PROPN
ejpam-6467	117	25	,	,	PUNCT
ejpam-6467	117	26	γ	γ	X
ejpam-6467	117	27	,	,	PUNCT
ejpam-6467	117	28	ωf	ωf	X
ejpam-6467	117	29	)	)	PUNCT
ejpam-6467	117	30	(	(	PUNCT
ejpam-6467	117	31	κ	κ	NOUN
ejpam-6467	117	32	)	)	PUNCT
ejpam-6467	117	33	]	]	PUNCT
ejpam-6467	117	34	.	.	PUNCT
ejpam-6467	118	1	[	[	PUNCT
ejpam-6467	118	2	(	(	PUNCT
ejpam-6467	118	3	ai	ai	VERB
ejpam-6467	118	4	β	β	X
ejpam-6467	118	5	,	,	PUNCT
ejpam-6467	118	6	γ	γ	X
ejpam-6467	118	7	,	,	PUNCT
ejpam-6467	118	8	ωg	ωg	X
ejpam-6467	118	9	)	)	PUNCT
ejpam-6467	118	10	(	(	PUNCT
ejpam-6467	118	11	κ	κ	NOUN
ejpam-6467	118	12	)	)	PUNCT
ejpam-6467	118	13	+	+	CCONJ
ejpam-6467	118	14	[	[	PUNCT
ejpam-6467	118	15	(	(	PUNCT
ejpam-6467	118	16	ai	ai	VERB
ejpam-6467	118	17	β	β	X
ejpam-6467	118	18	,	,	PUNCT
ejpam-6467	118	19	γ	γ	X
ejpam-6467	118	20	,	,	PUNCT
ejpam-6467	118	21	ωf	ωf	X
ejpam-6467	118	22	)	)	PUNCT
ejpam-6467	118	23	(	(	PUNCT
ejpam-6467	118	24	κ	κ	NOUN
ejpam-6467	118	25	)	)	PUNCT
ejpam-6467	118	26	]	]	PUNCT
ejpam-6467	118	27	.	.	PUNCT
ejpam-6467	119	1	[	[	PUNCT
ejpam-6467	119	2	(	(	PUNCT
ejpam-6467	119	3	ai	ai	VERB
ejpam-6467	119	4	ξ	ξ	PROPN
ejpam-6467	119	5	,	,	PUNCT
ejpam-6467	119	6	γ	γ	X
ejpam-6467	119	7	,	,	PUNCT
ejpam-6467	119	8	ωg	ωg	X
ejpam-6467	119	9	)	)	PUNCT
ejpam-6467	119	10	(	(	PUNCT
ejpam-6467	119	11	κ	κ	NOUN
ejpam-6467	119	12	)	)	PUNCT
ejpam-6467	119	13	]	]	PUNCT
ejpam-6467	119	14	.	.	PUNCT
ejpam-6467	120	1	(	(	PUNCT
ejpam-6467	120	2	20	20	NUM
ejpam-6467	120	3	)	)	PUNCT
ejpam-6467	120	4	proof	proof	NOUN
ejpam-6467	120	5	.	.	PUNCT
ejpam-6467	121	1	let	let	VERB
ejpam-6467	121	2	f	f	PROPN
ejpam-6467	121	3	and	and	CCONJ
ejpam-6467	121	4	g	g	PROPN
ejpam-6467	121	5	be	be	AUX
ejpam-6467	121	6	synchronous	synchronous	ADJ
ejpam-6467	121	7	functions	function	NOUN
ejpam-6467	121	8	on	on	ADP
ejpam-6467	121	9	[	[	X
ejpam-6467	121	10	0,+∞	0,+∞	NUM
ejpam-6467	121	11	)	)	PUNCT
ejpam-6467	121	12	.	.	PUNCT
ejpam-6467	122	1	for	for	ADP
ejpam-6467	122	2	all	all	DET
ejpam-6467	122	3	τ	τ	PROPN
ejpam-6467	122	4	,	,	PUNCT
ejpam-6467	122	5	ϱ	ϱ	ADP
ejpam-6467	122	6	≥	≥	NOUN
ejpam-6467	122	7	0	0	NUM
ejpam-6467	122	8	,	,	PUNCT
ejpam-6467	122	9	multiplying	multiply	VERB
ejpam-6467	122	10	both	both	DET
ejpam-6467	122	11	sides	side	NOUN
ejpam-6467	122	12	of	of	ADP
ejpam-6467	122	13	(	(	PUNCT
ejpam-6467	122	14	18	18	NUM
ejpam-6467	122	15	)	)	PUNCT
ejpam-6467	122	16	with	with	ADP
ejpam-6467	122	17	1	1	NUM
ejpam-6467	122	18	γβγ(β	γβγ(β	NOUN
ejpam-6467	122	19	)	)	PUNCT
ejpam-6467	122	20	e	e	PROPN
ejpam-6467	122	21	γ−1	γ−1	PROPN
ejpam-6467	122	22	γ	γ	X
ejpam-6467	122	23	(	(	PUNCT
ejpam-6467	122	24	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	122	25	)	)	PUNCT
ejpam-6467	122	26	)	)	PUNCT
ejpam-6467	123	1	(	(	PUNCT
ejpam-6467	123	2	ω	ω	X
ejpam-6467	123	3	(	(	PUNCT
ejpam-6467	123	4	κ)−	κ)−	PROPN
ejpam-6467	123	5	ω	ω	PROPN
ejpam-6467	123	6	(	(	PUNCT
ejpam-6467	123	7	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	123	8	(	(	PUNCT
ejpam-6467	123	9	ϱ	ϱ	PROPN
ejpam-6467	123	10	)	)	PUNCT
ejpam-6467	123	11	,	,	PUNCT
ejpam-6467	123	12	ϱ	ϱ	PROPN
ejpam-6467	123	13	∈	∈	PROPN
ejpam-6467	123	14	(	(	PUNCT
ejpam-6467	123	15	a	a	PRON
ejpam-6467	123	16	,	,	PUNCT
ejpam-6467	123	17	κ	κ	NOUN
ejpam-6467	123	18	)	)	PUNCT
ejpam-6467	123	19	with	with	ADP
ejpam-6467	123	20	respect	respect	NOUN
ejpam-6467	123	21	to	to	ADP
ejpam-6467	123	22	ϱ	ϱ	VERB
ejpam-6467	123	23	,	,	PUNCT
ejpam-6467	123	24	we	we	PRON
ejpam-6467	123	25	obtain	obtain	VERB
ejpam-6467	123	26	[	[	PUNCT
ejpam-6467	123	27	(	(	PUNCT
ejpam-6467	123	28	ai	ai	VERB
ejpam-6467	123	29	ξ	ξ	PROPN
ejpam-6467	123	30	,	,	PUNCT
ejpam-6467	123	31	γ	γ	X
ejpam-6467	123	32	,	,	PUNCT
ejpam-6467	123	33	ωfg	ωfg	NOUN
ejpam-6467	123	34	)	)	PUNCT
ejpam-6467	123	35	(	(	PUNCT
ejpam-6467	123	36	κ	κ	NOUN
ejpam-6467	123	37	)	)	PUNCT
ejpam-6467	123	38	]	]	PUNCT
ejpam-6467	123	39	1	1	NUM
ejpam-6467	123	40	γβγ	γβγ	X
ejpam-6467	123	41	(	(	PUNCT
ejpam-6467	123	42	β	β	X
ejpam-6467	123	43	)	)	PUNCT
ejpam-6467	123	44	e	e	NOUN
ejpam-6467	123	45	γ−1	γ−1	PROPN
ejpam-6467	123	46	γ	γ	X
ejpam-6467	123	47	(	(	PUNCT
ejpam-6467	123	48	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	123	49	)	)	PUNCT
ejpam-6467	123	50	)	)	PUNCT
ejpam-6467	123	51	(	(	PUNCT
ejpam-6467	123	52	ω	ω	X
ejpam-6467	123	53	(	(	PUNCT
ejpam-6467	123	54	κ)−	κ)−	PROPN
ejpam-6467	123	55	ω	ω	PROPN
ejpam-6467	123	56	(	(	PUNCT
ejpam-6467	123	57	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	123	58	(	(	PUNCT
ejpam-6467	123	59	ϱ	ϱ	PROPN
ejpam-6467	123	60	)	)	PUNCT
ejpam-6467	123	61	+	+	NUM
ejpam-6467	123	62	f	f	X
ejpam-6467	123	63	(	(	PUNCT
ejpam-6467	123	64	ϱ	ϱ	PROPN
ejpam-6467	123	65	)	)	PUNCT
ejpam-6467	123	66	g	g	NOUN
ejpam-6467	123	67	(	(	PUNCT
ejpam-6467	123	68	ϱ	ϱ	PROPN
ejpam-6467	123	69	)	)	PUNCT
ejpam-6467	124	1	[	[	X
ejpam-6467	124	2	ai	ai	VERB
ejpam-6467	124	3	ξ	ξ	PROPN
ejpam-6467	124	4	,	,	PUNCT
ejpam-6467	124	5	γ	γ	X
ejpam-6467	124	6	,	,	PUNCT
ejpam-6467	124	7	ω(1	ω(1	PROPN
ejpam-6467	124	8	)	)	PUNCT
ejpam-6467	124	9	]	]	PUNCT
ejpam-6467	124	10	.	.	PUNCT
ejpam-6467	125	1	1	1	NUM
ejpam-6467	125	2	γβγ	γβγ	X
ejpam-6467	125	3	(	(	PUNCT
ejpam-6467	125	4	β	β	X
ejpam-6467	125	5	)	)	PUNCT
ejpam-6467	125	6	e	e	NOUN
ejpam-6467	125	7	γ−1	γ−1	PROPN
ejpam-6467	125	8	γ	γ	X
ejpam-6467	125	9	(	(	PUNCT
ejpam-6467	125	10	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	125	11	)	)	PUNCT
ejpam-6467	125	12	)	)	PUNCT
ejpam-6467	125	13	(	(	PUNCT
ejpam-6467	125	14	ω	ω	X
ejpam-6467	125	15	(	(	PUNCT
ejpam-6467	125	16	κ)−	κ)−	PROPN
ejpam-6467	125	17	ω	ω	PROPN
ejpam-6467	125	18	(	(	PUNCT
ejpam-6467	125	19	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	125	20	(	(	PUNCT
ejpam-6467	125	21	ϱ	ϱ	PROPN
ejpam-6467	125	22	)	)	PUNCT
ejpam-6467	125	23	≥	≥	NOUN
ejpam-6467	125	24	g	g	PROPN
ejpam-6467	125	25	(	(	PUNCT
ejpam-6467	125	26	ϱ	ϱ	PROPN
ejpam-6467	125	27	)	)	PUNCT
ejpam-6467	125	28	[	[	PUNCT
ejpam-6467	125	29	(	(	PUNCT
ejpam-6467	125	30	ai	ai	VERB
ejpam-6467	125	31	ξ	ξ	PROPN
ejpam-6467	125	32	,	,	PUNCT
ejpam-6467	125	33	γ	γ	X
ejpam-6467	125	34	,	,	PUNCT
ejpam-6467	125	35	ωf	ωf	X
ejpam-6467	125	36	)	)	PUNCT
ejpam-6467	125	37	(	(	PUNCT
ejpam-6467	125	38	κ	κ	NOUN
ejpam-6467	125	39	)	)	PUNCT
ejpam-6467	125	40	]	]	PUNCT
ejpam-6467	125	41	1	1	NUM
ejpam-6467	125	42	γβγ	γβγ	X
ejpam-6467	125	43	(	(	PUNCT
ejpam-6467	125	44	β	β	X
ejpam-6467	125	45	)	)	PUNCT
ejpam-6467	125	46	e	e	NOUN
ejpam-6467	125	47	γ−1	γ−1	PROPN
ejpam-6467	125	48	γ	γ	X
ejpam-6467	125	49	(	(	PUNCT
ejpam-6467	125	50	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	125	51	)	)	PUNCT
ejpam-6467	125	52	)	)	PUNCT
ejpam-6467	125	53	(	(	PUNCT
ejpam-6467	125	54	ω	ω	X
ejpam-6467	125	55	(	(	PUNCT
ejpam-6467	125	56	κ)−	κ)−	PROPN
ejpam-6467	125	57	ω	ω	PROPN
ejpam-6467	125	58	(	(	PUNCT
ejpam-6467	125	59	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	125	60	(	(	PUNCT
ejpam-6467	125	61	ϱ	ϱ	PROPN
ejpam-6467	125	62	)	)	PUNCT
ejpam-6467	125	63	+	+	NUM
ejpam-6467	125	64	f	f	X
ejpam-6467	125	65	(	(	PUNCT
ejpam-6467	125	66	ϱ	ϱ	PROPN
ejpam-6467	125	67	)	)	PUNCT
ejpam-6467	125	68	[	[	PUNCT
ejpam-6467	125	69	(	(	PUNCT
ejpam-6467	125	70	ai	ai	VERB
ejpam-6467	125	71	ξ	ξ	PROPN
ejpam-6467	125	72	,	,	PUNCT
ejpam-6467	125	73	γ	γ	X
ejpam-6467	125	74	,	,	PUNCT
ejpam-6467	125	75	ωg	ωg	X
ejpam-6467	125	76	)	)	PUNCT
ejpam-6467	125	77	(	(	PUNCT
ejpam-6467	125	78	κ	κ	NOUN
ejpam-6467	125	79	)	)	PUNCT
ejpam-6467	125	80	]	]	PUNCT
ejpam-6467	125	81	.	.	PUNCT
ejpam-6467	125	82	1	1	NUM
ejpam-6467	125	83	γβγ	γβγ	X
ejpam-6467	125	84	(	(	PUNCT
ejpam-6467	125	85	β	β	X
ejpam-6467	125	86	)	)	PUNCT
ejpam-6467	125	87	e	e	NOUN
ejpam-6467	125	88	γ−1	γ−1	PROPN
ejpam-6467	125	89	γ	γ	X
ejpam-6467	125	90	(	(	PUNCT
ejpam-6467	125	91	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	125	92	)	)	PUNCT
ejpam-6467	125	93	)	)	PUNCT
ejpam-6467	125	94	(	(	PUNCT
ejpam-6467	125	95	ω	ω	X
ejpam-6467	125	96	(	(	PUNCT
ejpam-6467	125	97	κ)−	κ)−	PROPN
ejpam-6467	125	98	ω	ω	PROPN
ejpam-6467	125	99	(	(	PUNCT
ejpam-6467	125	100	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	125	101	(	(	PUNCT
ejpam-6467	125	102	ϱ	ϱ	PROPN
ejpam-6467	125	103	)	)	PUNCT
ejpam-6467	125	104	.	.	PUNCT
ejpam-6467	126	1	(	(	PUNCT
ejpam-6467	126	2	21	21	NUM
ejpam-6467	126	3	)	)	PUNCT
ejpam-6467	126	4	integrating	integrate	VERB
ejpam-6467	126	5	the	the	DET
ejpam-6467	126	6	inequality	inequality	NOUN
ejpam-6467	126	7	(	(	PUNCT
ejpam-6467	126	8	21	21	NUM
ejpam-6467	126	9	)	)	PUNCT
ejpam-6467	126	10	at	at	ADP
ejpam-6467	126	11	(	(	PUNCT
ejpam-6467	126	12	a	a	DET
ejpam-6467	126	13	,	,	PUNCT
ejpam-6467	126	14	κ	κ	NOUN
ejpam-6467	126	15	)	)	PUNCT
ejpam-6467	126	16	with	with	ADP
ejpam-6467	126	17	respect	respect	NOUN
ejpam-6467	126	18	to	to	ADP
ejpam-6467	126	19	ϱ	ϱ	VERB
ejpam-6467	126	20	,	,	PUNCT
ejpam-6467	126	21	then	then	ADV
ejpam-6467	126	22	we	we	PRON
ejpam-6467	126	23	have	have	VERB
ejpam-6467	126	24	[	[	PUNCT
ejpam-6467	126	25	(	(	PUNCT
ejpam-6467	126	26	ai	ai	PROPN
ejpam-6467	126	27	ξ	ξ	PROPN
ejpam-6467	126	28	,	,	PUNCT
ejpam-6467	126	29	γ	γ	X
ejpam-6467	126	30	,	,	PUNCT
ejpam-6467	126	31	ωfg	ωfg	NOUN
ejpam-6467	126	32	)	)	PUNCT
ejpam-6467	126	33	(	(	PUNCT
ejpam-6467	126	34	κ	κ	NOUN
ejpam-6467	126	35	)	)	PUNCT
ejpam-6467	126	36	]	]	PUNCT
ejpam-6467	126	37	1	1	NUM
ejpam-6467	126	38	γβγ	γβγ	X
ejpam-6467	126	39	(	(	PUNCT
ejpam-6467	126	40	β	β	NOUN
ejpam-6467	126	41	)	)	PUNCT
ejpam-6467	126	42	∫	∫	PROPN
ejpam-6467	126	43	κ	κ	PROPN
ejpam-6467	126	44	a	a	DET
ejpam-6467	126	45	e	e	PROPN
ejpam-6467	126	46	γ−1	γ−1	PROPN
ejpam-6467	126	47	γ	γ	X
ejpam-6467	126	48	(	(	PUNCT
ejpam-6467	126	49	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	126	50	)	)	PUNCT
ejpam-6467	126	51	)	)	PUNCT
ejpam-6467	127	1	(	(	PUNCT
ejpam-6467	127	2	ω	ω	X
ejpam-6467	127	3	(	(	PUNCT
ejpam-6467	127	4	κ)−	κ)−	PROPN
ejpam-6467	127	5	ω	ω	PROPN
ejpam-6467	127	6	(	(	PUNCT
ejpam-6467	127	7	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	127	8	(	(	PUNCT
ejpam-6467	127	9	ϱ	ϱ	PROPN
ejpam-6467	127	10	)	)	PUNCT
ejpam-6467	127	11	dϱ	dϱ	NOUN
ejpam-6467	128	1	+	+	CCONJ
ejpam-6467	128	2	[	[	X
ejpam-6467	128	3	ai	ai	VERB
ejpam-6467	128	4	ξ	ξ	PROPN
ejpam-6467	128	5	,	,	PUNCT
ejpam-6467	128	6	γ	γ	X
ejpam-6467	128	7	,	,	PUNCT
ejpam-6467	128	8	ω(1	ω(1	PROPN
ejpam-6467	128	9	)	)	PUNCT
ejpam-6467	128	10	]	]	PUNCT
ejpam-6467	128	11	.	.	PUNCT
ejpam-6467	129	1	1	1	NUM
ejpam-6467	129	2	γβγ	γβγ	X
ejpam-6467	129	3	(	(	PUNCT
ejpam-6467	129	4	β	β	NOUN
ejpam-6467	129	5	)	)	PUNCT
ejpam-6467	129	6	∫	∫	PROPN
ejpam-6467	129	7	κ	κ	PROPN
ejpam-6467	129	8	a	a	DET
ejpam-6467	129	9	e	e	PROPN
ejpam-6467	129	10	γ−1	γ−1	PROPN
ejpam-6467	129	11	γ	γ	X
ejpam-6467	129	12	(	(	PUNCT
ejpam-6467	129	13	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	129	14	)	)	PUNCT
ejpam-6467	129	15	)	)	PUNCT
ejpam-6467	130	1	(	(	PUNCT
ejpam-6467	130	2	ω	ω	X
ejpam-6467	130	3	(	(	PUNCT
ejpam-6467	130	4	κ)−	κ)−	PROPN
ejpam-6467	130	5	ω	ω	PROPN
ejpam-6467	130	6	(	(	PUNCT
ejpam-6467	130	7	ϱ))β−1	ϱ))β−1	PROPN
ejpam-6467	130	8	f	f	PROPN
ejpam-6467	130	9	(	(	PUNCT
ejpam-6467	130	10	ϱ	ϱ	PROPN
ejpam-6467	130	11	)	)	PUNCT
ejpam-6467	130	12	g	g	NOUN
ejpam-6467	130	13	(	(	PUNCT
ejpam-6467	130	14	ϱ	ϱ	PROPN
ejpam-6467	130	15	)	)	PUNCT
ejpam-6467	130	16	ω′	ω′	PROPN
ejpam-6467	130	17	(	(	PUNCT
ejpam-6467	130	18	ϱ	ϱ	PROPN
ejpam-6467	130	19	)	)	PUNCT
ejpam-6467	130	20	dϱ	dϱ	NOUN
ejpam-6467	130	21	≥	≥	NOUN
ejpam-6467	130	22	[	[	PUNCT
ejpam-6467	130	23	(	(	PUNCT
ejpam-6467	130	24	ai	ai	VERB
ejpam-6467	130	25	ξ	ξ	PROPN
ejpam-6467	130	26	,	,	PUNCT
ejpam-6467	130	27	γ	γ	X
ejpam-6467	130	28	,	,	PUNCT
ejpam-6467	130	29	ωf	ωf	X
ejpam-6467	130	30	)	)	PUNCT
ejpam-6467	130	31	(	(	PUNCT
ejpam-6467	130	32	κ	κ	NOUN
ejpam-6467	130	33	)	)	PUNCT
ejpam-6467	130	34	]	]	PUNCT
ejpam-6467	130	35	1	1	NUM
ejpam-6467	130	36	γβγ	γβγ	X
ejpam-6467	130	37	(	(	PUNCT
ejpam-6467	130	38	β	β	NOUN
ejpam-6467	130	39	)	)	PUNCT
ejpam-6467	130	40	∫	∫	PROPN
ejpam-6467	130	41	κ	κ	PROPN
ejpam-6467	130	42	a	a	DET
ejpam-6467	130	43	e	e	PROPN
ejpam-6467	130	44	γ−1	γ−1	PROPN
ejpam-6467	130	45	γ	γ	X
ejpam-6467	130	46	(	(	PUNCT
ejpam-6467	130	47	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	130	48	)	)	PUNCT
ejpam-6467	130	49	)	)	PUNCT
ejpam-6467	130	50	(	(	PUNCT
ejpam-6467	130	51	ω	ω	X
ejpam-6467	130	52	(	(	PUNCT
ejpam-6467	130	53	κ)−	κ)−	PROPN
ejpam-6467	130	54	ω	ω	PROPN
ejpam-6467	130	55	(	(	PUNCT
ejpam-6467	130	56	ϱ))β−1	ϱ))β−1	PROPN
ejpam-6467	130	57	g	g	NOUN
ejpam-6467	130	58	(	(	PUNCT
ejpam-6467	130	59	ϱ	ϱ	PROPN
ejpam-6467	130	60	)	)	PUNCT
ejpam-6467	130	61	ω′	ω′	PROPN
ejpam-6467	130	62	(	(	PUNCT
ejpam-6467	130	63	ϱ	ϱ	PROPN
ejpam-6467	130	64	)	)	PUNCT
ejpam-6467	130	65	dϱ	dϱ	NOUN
ejpam-6467	131	1	+	+	CCONJ
ejpam-6467	131	2	[	[	PUNCT
ejpam-6467	131	3	(	(	PUNCT
ejpam-6467	131	4	ai	ai	VERB
ejpam-6467	131	5	ξ	ξ	PROPN
ejpam-6467	131	6	,	,	PUNCT
ejpam-6467	131	7	γ	γ	X
ejpam-6467	131	8	,	,	PUNCT
ejpam-6467	131	9	ωg	ωg	X
ejpam-6467	131	10	)	)	PUNCT
ejpam-6467	131	11	(	(	PUNCT
ejpam-6467	131	12	κ	κ	NOUN
ejpam-6467	131	13	)	)	PUNCT
ejpam-6467	131	14	]	]	PUNCT
ejpam-6467	131	15	.	.	PUNCT
ejpam-6467	132	1	1	1	NUM
ejpam-6467	132	2	γβγ	γβγ	X
ejpam-6467	132	3	(	(	PUNCT
ejpam-6467	132	4	β	β	NOUN
ejpam-6467	132	5	)	)	PUNCT
ejpam-6467	132	6	∫	∫	PROPN
ejpam-6467	132	7	κ	κ	PROPN
ejpam-6467	132	8	a	a	DET
ejpam-6467	132	9	e	e	PROPN
ejpam-6467	132	10	γ−1	γ−1	PROPN
ejpam-6467	132	11	γ	γ	X
ejpam-6467	132	12	(	(	PUNCT
ejpam-6467	132	13	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	132	14	)	)	PUNCT
ejpam-6467	132	15	)	)	PUNCT
ejpam-6467	133	1	(	(	PUNCT
ejpam-6467	133	2	ω	ω	X
ejpam-6467	133	3	(	(	PUNCT
ejpam-6467	133	4	κ)−	κ)−	PROPN
ejpam-6467	133	5	ω	ω	PROPN
ejpam-6467	133	6	(	(	PUNCT
ejpam-6467	133	7	ϱ))β−1	ϱ))β−1	PROPN
ejpam-6467	133	8	f	f	PROPN
ejpam-6467	133	9	(	(	PUNCT
ejpam-6467	133	10	ϱ	ϱ	PROPN
ejpam-6467	133	11	)	)	PUNCT
ejpam-6467	133	12	ω′	ω′	PROPN
ejpam-6467	133	13	(	(	PUNCT
ejpam-6467	133	14	ϱ	ϱ	PROPN
ejpam-6467	133	15	)	)	PUNCT
ejpam-6467	133	16	dϱ.	dϱ.	NOUN
ejpam-6467	133	17	(	(	PUNCT
ejpam-6467	133	18	22	22	NUM
ejpam-6467	133	19	)	)	PUNCT
ejpam-6467	133	20	then	then	ADV
ejpam-6467	133	21	we	we	PRON
ejpam-6467	133	22	have	have	VERB
ejpam-6467	133	23	[	[	PUNCT
ejpam-6467	133	24	(	(	PUNCT
ejpam-6467	133	25	ai	ai	PROPN
ejpam-6467	133	26	ξ	ξ	PROPN
ejpam-6467	133	27	,	,	PUNCT
ejpam-6467	133	28	γ	γ	X
ejpam-6467	133	29	,	,	PUNCT
ejpam-6467	133	30	ωfg	ωfg	NOUN
ejpam-6467	133	31	)	)	PUNCT
ejpam-6467	133	32	(	(	PUNCT
ejpam-6467	133	33	κ	κ	NOUN
ejpam-6467	133	34	)	)	PUNCT
ejpam-6467	133	35	]	]	PUNCT
ejpam-6467	133	36	.	.	PUNCT
ejpam-6467	134	1	[	[	X
ejpam-6467	134	2	ai	ai	VERB
ejpam-6467	134	3	β	β	X
ejpam-6467	134	4	,	,	PUNCT
ejpam-6467	134	5	γ	γ	X
ejpam-6467	134	6	,	,	PUNCT
ejpam-6467	134	7	ω(1	ω(1	PROPN
ejpam-6467	134	8	)	)	PUNCT
ejpam-6467	134	9	]	]	PUNCT
ejpam-6467	135	1	+	+	CCONJ
ejpam-6467	135	2	[	[	PUNCT
ejpam-6467	135	3	(	(	PUNCT
ejpam-6467	135	4	ai	ai	VERB
ejpam-6467	135	5	β	β	X
ejpam-6467	135	6	,	,	PUNCT
ejpam-6467	135	7	γ	γ	X
ejpam-6467	135	8	,	,	PUNCT
ejpam-6467	135	9	ωfg	ωfg	NOUN
ejpam-6467	135	10	)	)	PUNCT
ejpam-6467	135	11	(	(	PUNCT
ejpam-6467	135	12	κ)][ai	κ)][ai	PROPN
ejpam-6467	135	13	ξ	ξ	X
ejpam-6467	135	14	,	,	PUNCT
ejpam-6467	135	15	γ	γ	X
ejpam-6467	135	16	,	,	PUNCT
ejpam-6467	135	17	ω(1	ω(1	PROPN
ejpam-6467	135	18	)	)	PUNCT
ejpam-6467	135	19	]	]	PUNCT
ejpam-6467	135	20	≥	≥	X
ejpam-6467	135	21	[	[	PUNCT
ejpam-6467	135	22	(	(	PUNCT
ejpam-6467	135	23	ai	ai	VERB
ejpam-6467	135	24	ξ	ξ	PROPN
ejpam-6467	135	25	,	,	PUNCT
ejpam-6467	135	26	γ	γ	X
ejpam-6467	135	27	,	,	PUNCT
ejpam-6467	135	28	ωf	ωf	X
ejpam-6467	135	29	)	)	PUNCT
ejpam-6467	135	30	(	(	PUNCT
ejpam-6467	135	31	κ	κ	NOUN
ejpam-6467	135	32	)	)	PUNCT
ejpam-6467	135	33	]	]	PUNCT
ejpam-6467	135	34	.	.	PUNCT
ejpam-6467	136	1	[	[	PUNCT
ejpam-6467	136	2	(	(	PUNCT
ejpam-6467	136	3	ai	ai	VERB
ejpam-6467	136	4	β	β	X
ejpam-6467	136	5	,	,	PUNCT
ejpam-6467	136	6	γ	γ	X
ejpam-6467	136	7	,	,	PUNCT
ejpam-6467	136	8	ωg	ωg	X
ejpam-6467	136	9	)	)	PUNCT
ejpam-6467	136	10	(	(	PUNCT
ejpam-6467	136	11	κ	κ	NOUN
ejpam-6467	136	12	)	)	PUNCT
ejpam-6467	136	13	+	+	CCONJ
ejpam-6467	136	14	[	[	PUNCT
ejpam-6467	136	15	(	(	PUNCT
ejpam-6467	136	16	ai	ai	VERB
ejpam-6467	136	17	β	β	X
ejpam-6467	136	18	,	,	PUNCT
ejpam-6467	136	19	γ	γ	X
ejpam-6467	136	20	,	,	PUNCT
ejpam-6467	136	21	ωf	ωf	X
ejpam-6467	136	22	)	)	PUNCT
ejpam-6467	136	23	(	(	PUNCT
ejpam-6467	136	24	κ	κ	NOUN
ejpam-6467	136	25	)	)	PUNCT
ejpam-6467	136	26	]	]	PUNCT
ejpam-6467	136	27	.	.	PUNCT
ejpam-6467	137	1	[	[	PUNCT
ejpam-6467	137	2	(	(	PUNCT
ejpam-6467	137	3	ai	ai	VERB
ejpam-6467	137	4	ξ	ξ	PROPN
ejpam-6467	137	5	,	,	PUNCT
ejpam-6467	137	6	γ	γ	X
ejpam-6467	137	7	,	,	PUNCT
ejpam-6467	137	8	ωg	ωg	X
ejpam-6467	137	9	)	)	PUNCT
ejpam-6467	137	10	(	(	PUNCT
ejpam-6467	137	11	κ	κ	NOUN
ejpam-6467	137	12	)	)	PUNCT
ejpam-6467	137	13	]	]	PUNCT
ejpam-6467	137	14	.	.	PUNCT
ejpam-6467	138	1	this	this	PRON
ejpam-6467	138	2	completes	complete	VERB
ejpam-6467	138	3	the	the	DET
ejpam-6467	138	4	proof	proof	NOUN
ejpam-6467	138	5	.	.	PUNCT
ejpam-6467	139	1	remark	remark	NOUN
ejpam-6467	139	2	5	5	NUM
ejpam-6467	139	3	.	.	PUNCT
ejpam-6467	140	1	it	it	PRON
ejpam-6467	140	2	is	be	AUX
ejpam-6467	140	3	obvious	obvious	ADJ
ejpam-6467	140	4	that	that	SCONJ
ejpam-6467	140	5	if	if	SCONJ
ejpam-6467	140	6	we	we	PRON
ejpam-6467	140	7	let	let	VERB
ejpam-6467	140	8	ξ	ξ	NOUN
ejpam-6467	140	9	=	=	SYM
ejpam-6467	140	10	β	β	PROPN
ejpam-6467	140	11	in	in	ADP
ejpam-6467	140	12	theorem	theorem	NOUN
ejpam-6467	140	13	2	2	NUM
ejpam-6467	140	14	,	,	PUNCT
ejpam-6467	140	15	it	it	PRON
ejpam-6467	140	16	reduces	reduce	VERB
ejpam-6467	140	17	to	to	PART
ejpam-6467	140	18	theorem	theorem	VERB
ejpam-6467	140	19	1	1	NUM
ejpam-6467	140	20	.	.	PUNCT
ejpam-6467	140	21	theorem	theorem	NOUN
ejpam-6467	140	22	3	3	X
ejpam-6467	140	23	.	.	PUNCT
ejpam-6467	140	24	suppose	suppose	VERB
ejpam-6467	140	25	that	that	SCONJ
ejpam-6467	140	26	f	f	X
ejpam-6467	140	27	,	,	PUNCT
ejpam-6467	140	28	g	g	PROPN
ejpam-6467	140	29	and	and	CCONJ
ejpam-6467	140	30	θ	θ	PROPN
ejpam-6467	140	31	are	be	AUX
ejpam-6467	140	32	three	three	NUM
ejpam-6467	140	33	monotone	monotone	ADJ
ejpam-6467	140	34	functions	function	NOUN
ejpam-6467	140	35	defined	define	VERB
ejpam-6467	140	36	on	on	ADP
ejpam-6467	140	37	[	[	X
ejpam-6467	140	38	0,+∞	0,+∞	NUM
ejpam-6467	140	39	)	)	PUNCT
ejpam-6467	140	40	,	,	PUNCT
ejpam-6467	140	41	satisfying	satisfy	VERB
ejpam-6467	140	42	the	the	DET
ejpam-6467	140	43	following	follow	VERB
ejpam-6467	140	44	inequality	inequality	NOUN
ejpam-6467	140	45	[	[	X
ejpam-6467	140	46	f	f	X
ejpam-6467	140	47	(	(	PUNCT
ejpam-6467	140	48	τ)−	τ)−	PROPN
ejpam-6467	140	49	f	f	PROPN
ejpam-6467	140	50	(	(	PUNCT
ejpam-6467	140	51	ϱ)][g	ϱ)][g	PROPN
ejpam-6467	140	52	(	(	PUNCT
ejpam-6467	140	53	τ)−	τ)−	PROPN
ejpam-6467	140	54	g	g	PROPN
ejpam-6467	140	55	(	(	PUNCT
ejpam-6467	140	56	ϱ)][θ	ϱ)][θ	PROPN
ejpam-6467	140	57	(	(	PUNCT
ejpam-6467	140	58	τ)−	τ)−	PROPN
ejpam-6467	140	59	θ	θ	PROPN
ejpam-6467	140	60	(	(	PUNCT
ejpam-6467	140	61	ϱ	ϱ	PROPN
ejpam-6467	140	62	)	)	PUNCT
ejpam-6467	140	63	]	]	PUNCT
ejpam-6467	140	64	≥	≥	NOUN
ejpam-6467	140	65	0	0	NUM
ejpam-6467	140	66	,	,	PUNCT
ejpam-6467	140	67	j.	j.	PROPN
ejpam-6467	140	68	nasir	nasir	PROPN
ejpam-6467	140	69	,	,	PUNCT
ejpam-6467	140	70	h.	h.	PROPN
ejpam-6467	140	71	qawaqneh	qawaqneh	PROPN
ejpam-6467	140	72	,	,	PUNCT
ejpam-6467	140	73	h.	h.	PROPN
ejpam-6467	140	74	aydi	aydi	VERB
ejpam-6467	140	75	/	/	SYM
ejpam-6467	140	76	eur	eur	NOUN
ejpam-6467	140	77	.	.	PUNCT
ejpam-6467	141	1	j.	j.	PROPN
ejpam-6467	141	2	pure	pure	PROPN
ejpam-6467	141	3	appl	appl	PROPN
ejpam-6467	141	4	.	.	PROPN
ejpam-6467	141	5	math	math	PROPN
ejpam-6467	141	6	,	,	PUNCT
ejpam-6467	141	7	18	18	NUM
ejpam-6467	141	8	(	(	PUNCT
ejpam-6467	141	9	3	3	NUM
ejpam-6467	141	10	)	)	PUNCT
ejpam-6467	141	11	(	(	PUNCT
ejpam-6467	141	12	2025	2025	NUM
ejpam-6467	141	13	)	)	PUNCT
ejpam-6467	141	14	,	,	PUNCT
ejpam-6467	141	15	6467	6467	NUM
ejpam-6467	141	16	8	8	NUM
ejpam-6467	141	17	of	of	ADP
ejpam-6467	141	18	16	16	NUM
ejpam-6467	141	19	then	then	ADV
ejpam-6467	141	20	for	for	ADP
ejpam-6467	141	21	all	all	DET
ejpam-6467	141	22	τ	τ	PROPN
ejpam-6467	141	23	,	,	PUNCT
ejpam-6467	141	24	ϱ	ϱ	PROPN
ejpam-6467	141	25	∈	∈	PROPN
ejpam-6467	141	26	[	[	X
ejpam-6467	141	27	a	a	X
ejpam-6467	141	28	,	,	PUNCT
ejpam-6467	141	29	κ	κ	X
ejpam-6467	141	30	]	]	X
ejpam-6467	141	31	κ	κ	X
ejpam-6467	141	32	>	>	X
ejpam-6467	141	33	a	a	PROPN
ejpam-6467	141	34	,	,	PUNCT
ejpam-6467	141	35	ξ	ξ	PROPN
ejpam-6467	141	36	>	>	X
ejpam-6467	141	37	0	0	PROPN
ejpam-6467	141	38	,	,	PUNCT
ejpam-6467	141	39	β	β	X
ejpam-6467	141	40	>	>	X
ejpam-6467	141	41	0	0	PROPN
ejpam-6467	141	42	,	,	PUNCT
ejpam-6467	141	43	γ	γ	X
ejpam-6467	141	44	∈	∈	X
ejpam-6467	141	45	(	(	PUNCT
ejpam-6467	141	46	0	0	NUM
ejpam-6467	141	47	,	,	PUNCT
ejpam-6467	141	48	1	1	NUM
ejpam-6467	141	49	]	]	PUNCT
ejpam-6467	141	50	,	,	PUNCT
ejpam-6467	141	51	the	the	DET
ejpam-6467	141	52	ω−proportional	ω−proportional	NUM
ejpam-6467	141	53	holds	hold	VERB
ejpam-6467	141	54	:	:	PUNCT
ejpam-6467	141	55	[	[	PUNCT
ejpam-6467	141	56	(	(	PUNCT
ejpam-6467	141	57	ai	ai	VERB
ejpam-6467	141	58	ξ	ξ	PROPN
ejpam-6467	141	59	,	,	PUNCT
ejpam-6467	141	60	γ	γ	NOUN
ejpam-6467	141	61	,	,	PUNCT
ejpam-6467	141	62	ωfgθ	ωfgθ	NOUN
ejpam-6467	141	63	)	)	PUNCT
ejpam-6467	141	64	(	(	PUNCT
ejpam-6467	141	65	κ	κ	NOUN
ejpam-6467	141	66	)	)	PUNCT
ejpam-6467	141	67	]	]	PUNCT
ejpam-6467	142	1	[	[	X
ejpam-6467	142	2	ai	ai	ADP
ejpam-6467	142	3	β	β	X
ejpam-6467	142	4	,	,	PUNCT
ejpam-6467	142	5	γ	γ	X
ejpam-6467	142	6	,	,	PUNCT
ejpam-6467	142	7	ω(1	ω(1	PROPN
ejpam-6467	142	8	)	)	PUNCT
ejpam-6467	142	9	]	]	PUNCT
ejpam-6467	143	1	−	−	PROPN
ejpam-6467	144	1	[	[	X
ejpam-6467	144	2	ai	ai	VERB
ejpam-6467	144	3	ξ	ξ	PROPN
ejpam-6467	144	4	,	,	PUNCT
ejpam-6467	144	5	γ	γ	X
ejpam-6467	144	6	,	,	PUNCT
ejpam-6467	144	7	ω(1	ω(1	PROPN
ejpam-6467	144	8	)	)	PUNCT
ejpam-6467	144	9	]	]	X
ejpam-6467	144	10	[	[	PUNCT
ejpam-6467	144	11	(	(	PUNCT
ejpam-6467	144	12	ai	ai	VERB
ejpam-6467	144	13	β	β	X
ejpam-6467	144	14	,	,	PUNCT
ejpam-6467	144	15	γ	γ	NOUN
ejpam-6467	144	16	,	,	PUNCT
ejpam-6467	144	17	ωfgθ	ωfgθ	NOUN
ejpam-6467	144	18	)	)	PUNCT
ejpam-6467	144	19	(	(	PUNCT
ejpam-6467	144	20	κ	κ	NOUN
ejpam-6467	144	21	)	)	PUNCT
ejpam-6467	144	22	]	]	PUNCT
ejpam-6467	144	23	≥	≥	X
ejpam-6467	144	24	[	[	PUNCT
ejpam-6467	144	25	(	(	PUNCT
ejpam-6467	144	26	ai	ai	VERB
ejpam-6467	144	27	ξ	ξ	PROPN
ejpam-6467	144	28	,	,	PUNCT
ejpam-6467	144	29	γ	γ	X
ejpam-6467	144	30	,	,	PUNCT
ejpam-6467	144	31	ωfθ	ωfθ	PROPN
ejpam-6467	144	32	)	)	PUNCT
ejpam-6467	144	33	(	(	PUNCT
ejpam-6467	144	34	κ	κ	NOUN
ejpam-6467	144	35	)	)	PUNCT
ejpam-6467	144	36	]	]	PUNCT
ejpam-6467	144	37	.	.	PUNCT
ejpam-6467	145	1	[	[	PUNCT
ejpam-6467	145	2	(	(	PUNCT
ejpam-6467	145	3	ai	ai	VERB
ejpam-6467	145	4	β	β	X
ejpam-6467	145	5	,	,	PUNCT
ejpam-6467	145	6	γ	γ	X
ejpam-6467	145	7	,	,	PUNCT
ejpam-6467	145	8	ωg	ωg	X
ejpam-6467	145	9	)	)	PUNCT
ejpam-6467	145	10	(	(	PUNCT
ejpam-6467	145	11	κ	κ	NOUN
ejpam-6467	145	12	)	)	PUNCT
ejpam-6467	145	13	]	]	PUNCT
ejpam-6467	146	1	+	+	CCONJ
ejpam-6467	146	2	[	[	PUNCT
ejpam-6467	146	3	(	(	PUNCT
ejpam-6467	146	4	ai	ai	VERB
ejpam-6467	146	5	ξ	ξ	PROPN
ejpam-6467	146	6	,	,	PUNCT
ejpam-6467	146	7	γ	γ	X
ejpam-6467	146	8	,	,	PUNCT
ejpam-6467	146	9	ωgθ	ωgθ	NOUN
ejpam-6467	146	10	)	)	PUNCT
ejpam-6467	146	11	(	(	PUNCT
ejpam-6467	146	12	κ	κ	NOUN
ejpam-6467	146	13	)	)	PUNCT
ejpam-6467	146	14	]	]	PUNCT
ejpam-6467	146	15	.	.	PUNCT
ejpam-6467	147	1	[	[	PUNCT
ejpam-6467	147	2	(	(	PUNCT
ejpam-6467	147	3	ai	ai	VERB
ejpam-6467	147	4	β	β	X
ejpam-6467	147	5	,	,	PUNCT
ejpam-6467	147	6	γ	γ	X
ejpam-6467	147	7	,	,	PUNCT
ejpam-6467	147	8	ωf	ωf	X
ejpam-6467	147	9	)	)	PUNCT
ejpam-6467	147	10	(	(	PUNCT
ejpam-6467	147	11	κ	κ	NOUN
ejpam-6467	147	12	)	)	PUNCT
ejpam-6467	147	13	]	]	PUNCT
ejpam-6467	148	1	−	−	PROPN
ejpam-6467	148	2	[	[	PUNCT
ejpam-6467	148	3	(	(	PUNCT
ejpam-6467	148	4	ai	ai	VERB
ejpam-6467	148	5	ξ	ξ	PROPN
ejpam-6467	148	6	,	,	PUNCT
ejpam-6467	148	7	γ	γ	X
ejpam-6467	148	8	,	,	PUNCT
ejpam-6467	148	9	ωθ	ωθ	NUM
ejpam-6467	148	10	)	)	PUNCT
ejpam-6467	148	11	(	(	PUNCT
ejpam-6467	148	12	κ	κ	NOUN
ejpam-6467	148	13	)	)	PUNCT
ejpam-6467	148	14	]	]	PUNCT
ejpam-6467	148	15	.	.	PUNCT
ejpam-6467	149	1	[	[	PUNCT
ejpam-6467	149	2	(	(	PUNCT
ejpam-6467	149	3	ai	ai	VERB
ejpam-6467	149	4	β	β	X
ejpam-6467	149	5	,	,	PUNCT
ejpam-6467	149	6	γ	γ	X
ejpam-6467	149	7	,	,	PUNCT
ejpam-6467	149	8	ωfg	ωfg	NOUN
ejpam-6467	149	9	)	)	PUNCT
ejpam-6467	149	10	(	(	PUNCT
ejpam-6467	149	11	κ	κ	NOUN
ejpam-6467	149	12	)	)	PUNCT
ejpam-6467	149	13	]	]	PUNCT
ejpam-6467	150	1	+	+	CCONJ
ejpam-6467	150	2	[	[	PUNCT
ejpam-6467	150	3	(	(	PUNCT
ejpam-6467	150	4	ai	ai	VERB
ejpam-6467	150	5	ξ	ξ	PROPN
ejpam-6467	150	6	,	,	PUNCT
ejpam-6467	150	7	γ	γ	X
ejpam-6467	150	8	,	,	PUNCT
ejpam-6467	150	9	ωfg	ωfg	NOUN
ejpam-6467	150	10	)	)	PUNCT
ejpam-6467	150	11	(	(	PUNCT
ejpam-6467	150	12	κ	κ	NOUN
ejpam-6467	150	13	)	)	PUNCT
ejpam-6467	150	14	]	]	PUNCT
ejpam-6467	150	15	.	.	PUNCT
ejpam-6467	151	1	[	[	PUNCT
ejpam-6467	151	2	(	(	PUNCT
ejpam-6467	151	3	ai	ai	VERB
ejpam-6467	151	4	β	β	X
ejpam-6467	151	5	,	,	PUNCT
ejpam-6467	151	6	γ	γ	PROPN
ejpam-6467	151	7	,	,	PUNCT
ejpam-6467	151	8	ωθ	ωθ	NUM
ejpam-6467	151	9	)	)	PUNCT
ejpam-6467	151	10	(	(	PUNCT
ejpam-6467	151	11	κ	κ	NOUN
ejpam-6467	151	12	)	)	PUNCT
ejpam-6467	151	13	]	]	PUNCT
ejpam-6467	152	1	+	+	CCONJ
ejpam-6467	152	2	[	[	PUNCT
ejpam-6467	152	3	(	(	PUNCT
ejpam-6467	152	4	ai	ai	VERB
ejpam-6467	152	5	ξ	ξ	PROPN
ejpam-6467	152	6	,	,	PUNCT
ejpam-6467	152	7	γ	γ	X
ejpam-6467	152	8	,	,	PUNCT
ejpam-6467	152	9	ωf	ωf	X
ejpam-6467	152	10	)	)	PUNCT
ejpam-6467	152	11	(	(	PUNCT
ejpam-6467	152	12	κ	κ	NOUN
ejpam-6467	152	13	)	)	PUNCT
ejpam-6467	152	14	]	]	PUNCT
ejpam-6467	152	15	.	.	PUNCT
ejpam-6467	153	1	[	[	PUNCT
ejpam-6467	153	2	(	(	PUNCT
ejpam-6467	153	3	ai	ai	VERB
ejpam-6467	153	4	β	β	X
ejpam-6467	153	5	,	,	PUNCT
ejpam-6467	153	6	γ	γ	X
ejpam-6467	153	7	,	,	PUNCT
ejpam-6467	153	8	ωgθ	ωgθ	NOUN
ejpam-6467	153	9	)	)	PUNCT
ejpam-6467	153	10	(	(	PUNCT
ejpam-6467	153	11	κ)]−	κ)]−	PROPN
ejpam-6467	153	12	[	[	PUNCT
ejpam-6467	153	13	(	(	PUNCT
ejpam-6467	153	14	ai	ai	VERB
ejpam-6467	153	15	ξ	ξ	PROPN
ejpam-6467	153	16	,	,	PUNCT
ejpam-6467	153	17	γ	γ	X
ejpam-6467	153	18	,	,	PUNCT
ejpam-6467	153	19	ωg	ωg	X
ejpam-6467	153	20	)	)	PUNCT
ejpam-6467	153	21	(	(	PUNCT
ejpam-6467	153	22	κ	κ	NOUN
ejpam-6467	153	23	)	)	PUNCT
ejpam-6467	153	24	]	]	PUNCT
ejpam-6467	153	25	.	.	PUNCT
ejpam-6467	154	1	[	[	PUNCT
ejpam-6467	154	2	(	(	PUNCT
ejpam-6467	154	3	ai	ai	VERB
ejpam-6467	154	4	β	β	X
ejpam-6467	154	5	,	,	PUNCT
ejpam-6467	154	6	γ	γ	X
ejpam-6467	154	7	,	,	PUNCT
ejpam-6467	154	8	ωfθ	ωfθ	PROPN
ejpam-6467	154	9	)	)	PUNCT
ejpam-6467	154	10	(	(	PUNCT
ejpam-6467	154	11	κ	κ	NOUN
ejpam-6467	154	12	)	)	PUNCT
ejpam-6467	154	13	]	]	PUNCT
ejpam-6467	154	14	.	.	PUNCT
ejpam-6467	155	1	(	(	PUNCT
ejpam-6467	155	2	23	23	X
ejpam-6467	155	3	)	)	PUNCT
ejpam-6467	155	4	proof	proof	NOUN
ejpam-6467	155	5	.	.	PUNCT
ejpam-6467	156	1	since	since	SCONJ
ejpam-6467	156	2	f	f	PROPN
ejpam-6467	156	3	,	,	PUNCT
ejpam-6467	156	4	g	g	PROPN
ejpam-6467	156	5	and	and	CCONJ
ejpam-6467	156	6	θ	θ	PROPN
ejpam-6467	156	7	are	be	AUX
ejpam-6467	156	8	three	three	NUM
ejpam-6467	156	9	monotonic	monotonic	ADJ
ejpam-6467	156	10	functions	function	NOUN
ejpam-6467	156	11	defined	define	VERB
ejpam-6467	156	12	on	on	ADP
ejpam-6467	156	13	[	[	X
ejpam-6467	156	14	0,+∞	0,+∞	NUM
ejpam-6467	156	15	)	)	PUNCT
ejpam-6467	156	16	,	,	PUNCT
ejpam-6467	156	17	then	then	ADV
ejpam-6467	156	18	for	for	ADP
ejpam-6467	156	19	all	all	DET
ejpam-6467	156	20	τ	τ	PROPN
ejpam-6467	156	21	,	,	PUNCT
ejpam-6467	156	22	ϱ	ϱ	ADP
ejpam-6467	156	23	≥	≥	NOUN
ejpam-6467	156	24	0	0	NUM
ejpam-6467	156	25	,	,	PUNCT
ejpam-6467	156	26	we	we	PRON
ejpam-6467	156	27	have	have	VERB
ejpam-6467	156	28	[	[	X
ejpam-6467	156	29	f	f	X
ejpam-6467	156	30	(	(	PUNCT
ejpam-6467	156	31	τ)−	τ)−	PROPN
ejpam-6467	156	32	f	f	PROPN
ejpam-6467	156	33	(	(	PUNCT
ejpam-6467	156	34	ϱ)][g	ϱ)][g	PROPN
ejpam-6467	156	35	(	(	PUNCT
ejpam-6467	156	36	τ)−	τ)−	PROPN
ejpam-6467	156	37	g	g	PROPN
ejpam-6467	156	38	(	(	PUNCT
ejpam-6467	156	39	ϱ)][θ	ϱ)][θ	PROPN
ejpam-6467	156	40	(	(	PUNCT
ejpam-6467	156	41	τ)−	τ)−	PROPN
ejpam-6467	156	42	θ	θ	PROPN
ejpam-6467	156	43	(	(	PUNCT
ejpam-6467	156	44	ϱ	ϱ	PROPN
ejpam-6467	156	45	)	)	PUNCT
ejpam-6467	156	46	]	]	PUNCT
ejpam-6467	156	47	≥	≥	NOUN
ejpam-6467	156	48	0	0	NUM
ejpam-6467	156	49	.	.	PUNCT
ejpam-6467	157	1	(	(	PUNCT
ejpam-6467	157	2	24	24	NUM
ejpam-6467	157	3	)	)	PUNCT
ejpam-6467	157	4	from	from	ADP
ejpam-6467	157	5	(	(	PUNCT
ejpam-6467	157	6	24	24	NUM
ejpam-6467	157	7	)	)	PUNCT
ejpam-6467	157	8	,	,	PUNCT
ejpam-6467	157	9	it	it	PRON
ejpam-6467	157	10	can	can	AUX
ejpam-6467	157	11	be	be	AUX
ejpam-6467	157	12	written	write	VERB
ejpam-6467	157	13	as	as	ADP
ejpam-6467	157	14	f	f	PROPN
ejpam-6467	157	15	(	(	PUNCT
ejpam-6467	157	16	τ	τ	PROPN
ejpam-6467	157	17	)	)	PUNCT
ejpam-6467	157	18	g	g	PROPN
ejpam-6467	157	19	(	(	PUNCT
ejpam-6467	157	20	τ	τ	PROPN
ejpam-6467	157	21	)	)	PUNCT
ejpam-6467	157	22	θ	θ	PROPN
ejpam-6467	157	23	(	(	PUNCT
ejpam-6467	157	24	τ)−	τ)−	PROPN
ejpam-6467	157	25	f	f	PROPN
ejpam-6467	157	26	(	(	PUNCT
ejpam-6467	157	27	ϱ	ϱ	PROPN
ejpam-6467	157	28	)	)	PUNCT
ejpam-6467	157	29	g	g	NOUN
ejpam-6467	157	30	(	(	PUNCT
ejpam-6467	157	31	ϱ	ϱ	PROPN
ejpam-6467	157	32	)	)	PUNCT
ejpam-6467	157	33	θ	θ	PROPN
ejpam-6467	157	34	(	(	PUNCT
ejpam-6467	157	35	ϱ)−	ϱ)−	PROPN
ejpam-6467	157	36	f	f	PROPN
ejpam-6467	157	37	(	(	PUNCT
ejpam-6467	157	38	τ	τ	PROPN
ejpam-6467	157	39	)	)	PUNCT
ejpam-6467	157	40	g	g	PROPN
ejpam-6467	157	41	(	(	PUNCT
ejpam-6467	157	42	ϱ	ϱ	PROPN
ejpam-6467	157	43	)	)	PUNCT
ejpam-6467	157	44	θ	θ	PROPN
ejpam-6467	157	45	(	(	PUNCT
ejpam-6467	157	46	τ)−	τ)−	PROPN
ejpam-6467	157	47	f	f	PROPN
ejpam-6467	157	48	(	(	PUNCT
ejpam-6467	157	49	ϱ	ϱ	PROPN
ejpam-6467	157	50	)	)	PUNCT
ejpam-6467	157	51	g	g	PROPN
ejpam-6467	157	52	(	(	PUNCT
ejpam-6467	157	53	τ	τ	PROPN
ejpam-6467	157	54	)	)	PUNCT
ejpam-6467	157	55	θ	θ	PROPN
ejpam-6467	157	56	(	(	PUNCT
ejpam-6467	157	57	τ	τ	X
ejpam-6467	157	58	)	)	PUNCT
ejpam-6467	158	1	+	+	NUM
ejpam-6467	158	2	f	f	X
ejpam-6467	158	3	(	(	PUNCT
ejpam-6467	158	4	ϱ	ϱ	PROPN
ejpam-6467	158	5	)	)	PUNCT
ejpam-6467	158	6	g	g	NOUN
ejpam-6467	158	7	(	(	PUNCT
ejpam-6467	158	8	ϱ	ϱ	PROPN
ejpam-6467	158	9	)	)	PUNCT
ejpam-6467	158	10	θ	θ	PROPN
ejpam-6467	158	11	(	(	PUNCT
ejpam-6467	158	12	τ)−	τ)−	PROPN
ejpam-6467	158	13	f	f	PROPN
ejpam-6467	158	14	(	(	PUNCT
ejpam-6467	158	15	τ	τ	PROPN
ejpam-6467	158	16	)	)	PUNCT
ejpam-6467	158	17	g	g	PROPN
ejpam-6467	158	18	(	(	PUNCT
ejpam-6467	158	19	τ	τ	PROPN
ejpam-6467	158	20	)	)	PUNCT
ejpam-6467	158	21	θ	θ	PROPN
ejpam-6467	158	22	(	(	PUNCT
ejpam-6467	158	23	ϱ)−	ϱ)−	PROPN
ejpam-6467	158	24	f	f	PROPN
ejpam-6467	158	25	(	(	PUNCT
ejpam-6467	158	26	τ	τ	PROPN
ejpam-6467	158	27	)	)	PUNCT
ejpam-6467	158	28	g	g	PROPN
ejpam-6467	158	29	(	(	PUNCT
ejpam-6467	158	30	ϱ	ϱ	PROPN
ejpam-6467	158	31	)	)	PUNCT
ejpam-6467	158	32	θ	θ	PROPN
ejpam-6467	158	33	(	(	PUNCT
ejpam-6467	158	34	ϱ	ϱ	NOUN
ejpam-6467	158	35	)	)	PUNCT
ejpam-6467	158	36	+	+	NUM
ejpam-6467	158	37	f	f	X
ejpam-6467	158	38	(	(	PUNCT
ejpam-6467	158	39	ϱ	ϱ	PROPN
ejpam-6467	158	40	)	)	PUNCT
ejpam-6467	158	41	g	g	PROPN
ejpam-6467	158	42	(	(	PUNCT
ejpam-6467	158	43	τ	τ	PROPN
ejpam-6467	158	44	)	)	PUNCT
ejpam-6467	158	45	θ	θ	PROPN
ejpam-6467	158	46	(	(	PUNCT
ejpam-6467	158	47	ϱ	ϱ	PROPN
ejpam-6467	158	48	)	)	PUNCT
ejpam-6467	158	49	≥	≥	NOUN
ejpam-6467	158	50	0	0	NUM
ejpam-6467	158	51	.	.	PUNCT
ejpam-6467	159	1	(	(	PUNCT
ejpam-6467	159	2	25	25	NUM
ejpam-6467	159	3	)	)	PUNCT
ejpam-6467	159	4	multiplying	multiply	VERB
ejpam-6467	159	5	both	both	DET
ejpam-6467	159	6	sides	side	NOUN
ejpam-6467	159	7	of	of	ADP
ejpam-6467	159	8	(	(	PUNCT
ejpam-6467	159	9	25	25	NUM
ejpam-6467	159	10	)	)	PUNCT
ejpam-6467	159	11	with	with	ADP
ejpam-6467	159	12	1	1	NUM
ejpam-6467	159	13	γξγ(ξ	γξγ(ξ	NOUN
ejpam-6467	159	14	)	)	PUNCT
ejpam-6467	160	1	e	e	PROPN
ejpam-6467	160	2	γ−1	γ−1	PROPN
ejpam-6467	160	3	γ	γ	X
ejpam-6467	160	4	(	(	PUNCT
ejpam-6467	160	5	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	160	6	)	)	PUNCT
ejpam-6467	160	7	)	)	PUNCT
ejpam-6467	160	8	(	(	PUNCT
ejpam-6467	160	9	ω	ω	X
ejpam-6467	160	10	(	(	PUNCT
ejpam-6467	160	11	κ)−	κ)−	PROPN
ejpam-6467	160	12	ω	ω	PROPN
ejpam-6467	160	13	(	(	PUNCT
ejpam-6467	160	14	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	160	15	(	(	PUNCT
ejpam-6467	160	16	τ	τ	PROPN
ejpam-6467	160	17	)	)	PUNCT
ejpam-6467	160	18	,	,	PUNCT
ejpam-6467	160	19	τ	τ	PROPN
ejpam-6467	160	20	∈	∈	PROPN
ejpam-6467	160	21	(	(	PUNCT
ejpam-6467	160	22	a	a	PRON
ejpam-6467	160	23	,	,	PUNCT
ejpam-6467	160	24	κ	κ	NOUN
ejpam-6467	160	25	)	)	PUNCT
ejpam-6467	160	26	with	with	ADP
ejpam-6467	160	27	respect	respect	NOUN
ejpam-6467	160	28	to	to	ADP
ejpam-6467	160	29	τ	τ	PROPN
ejpam-6467	160	30	,	,	PUNCT
ejpam-6467	160	31	we	we	PRON
ejpam-6467	160	32	obtain	obtain	VERB
ejpam-6467	160	33	1	1	NUM
ejpam-6467	160	34	γξγ	γξγ	NOUN
ejpam-6467	160	35	(	(	PUNCT
ejpam-6467	160	36	ξ	ξ	NOUN
ejpam-6467	160	37	)	)	PUNCT
ejpam-6467	160	38	e	e	PROPN
ejpam-6467	160	39	γ−1	γ−1	PROPN
ejpam-6467	160	40	γ	γ	X
ejpam-6467	160	41	(	(	PUNCT
ejpam-6467	160	42	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	160	43	)	)	PUNCT
ejpam-6467	160	44	)	)	PUNCT
ejpam-6467	161	1	(	(	PUNCT
ejpam-6467	161	2	ω	ω	X
ejpam-6467	161	3	(	(	PUNCT
ejpam-6467	161	4	κ)−	κ)−	PROPN
ejpam-6467	161	5	ω	ω	PROPN
ejpam-6467	161	6	(	(	PUNCT
ejpam-6467	161	7	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	161	8	(	(	PUNCT
ejpam-6467	161	9	τ	τ	X
ejpam-6467	161	10	)	)	PUNCT
ejpam-6467	161	11	f	f	PROPN
ejpam-6467	161	12	(	(	PUNCT
ejpam-6467	161	13	τ	τ	PROPN
ejpam-6467	161	14	)	)	PUNCT
ejpam-6467	161	15	g	g	PROPN
ejpam-6467	161	16	(	(	PUNCT
ejpam-6467	161	17	τ	τ	PROPN
ejpam-6467	161	18	)	)	PUNCT
ejpam-6467	161	19	θ	θ	PROPN
ejpam-6467	161	20	(	(	PUNCT
ejpam-6467	161	21	τ	τ	PROPN
ejpam-6467	161	22	)	)	PUNCT
ejpam-6467	161	23	−	−	PROPN
ejpam-6467	161	24	1	1	NUM
ejpam-6467	161	25	γξγ	γξγ	NOUN
ejpam-6467	161	26	(	(	PUNCT
ejpam-6467	161	27	ξ	ξ	NOUN
ejpam-6467	161	28	)	)	PUNCT
ejpam-6467	161	29	e	e	PROPN
ejpam-6467	161	30	γ−1	γ−1	PROPN
ejpam-6467	161	31	γ	γ	X
ejpam-6467	161	32	(	(	PUNCT
ejpam-6467	161	33	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	161	34	)	)	PUNCT
ejpam-6467	161	35	)	)	PUNCT
ejpam-6467	161	36	(	(	PUNCT
ejpam-6467	161	37	ω	ω	X
ejpam-6467	161	38	(	(	PUNCT
ejpam-6467	161	39	κ)−	κ)−	PROPN
ejpam-6467	161	40	ω	ω	PROPN
ejpam-6467	161	41	(	(	PUNCT
ejpam-6467	161	42	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	161	43	(	(	PUNCT
ejpam-6467	161	44	τ	τ	X
ejpam-6467	161	45	)	)	PUNCT
ejpam-6467	161	46	f	f	PROPN
ejpam-6467	161	47	(	(	PUNCT
ejpam-6467	161	48	ϱ	ϱ	PROPN
ejpam-6467	161	49	)	)	PUNCT
ejpam-6467	161	50	g	g	NOUN
ejpam-6467	161	51	(	(	PUNCT
ejpam-6467	161	52	ϱ	ϱ	PROPN
ejpam-6467	161	53	)	)	PUNCT
ejpam-6467	161	54	θ	θ	PROPN
ejpam-6467	161	55	(	(	PUNCT
ejpam-6467	161	56	ϱ	ϱ	NOUN
ejpam-6467	161	57	)	)	PUNCT
ejpam-6467	161	58	−	−	PROPN
ejpam-6467	161	59	1	1	NUM
ejpam-6467	161	60	γξγ	γξγ	NOUN
ejpam-6467	161	61	(	(	PUNCT
ejpam-6467	161	62	ξ	ξ	NOUN
ejpam-6467	161	63	)	)	PUNCT
ejpam-6467	161	64	e	e	PROPN
ejpam-6467	161	65	γ−1	γ−1	PROPN
ejpam-6467	161	66	γ	γ	X
ejpam-6467	161	67	(	(	PUNCT
ejpam-6467	161	68	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	161	69	)	)	PUNCT
ejpam-6467	161	70	)	)	PUNCT
ejpam-6467	161	71	(	(	PUNCT
ejpam-6467	161	72	ω	ω	X
ejpam-6467	161	73	(	(	PUNCT
ejpam-6467	161	74	κ)−	κ)−	PROPN
ejpam-6467	161	75	ω	ω	PROPN
ejpam-6467	161	76	(	(	PUNCT
ejpam-6467	161	77	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	161	78	(	(	PUNCT
ejpam-6467	161	79	τ	τ	X
ejpam-6467	161	80	)	)	PUNCT
ejpam-6467	161	81	f	f	PROPN
ejpam-6467	161	82	(	(	PUNCT
ejpam-6467	161	83	τ	τ	PROPN
ejpam-6467	161	84	)	)	PUNCT
ejpam-6467	161	85	g	g	PROPN
ejpam-6467	161	86	(	(	PUNCT
ejpam-6467	161	87	ϱ	ϱ	PROPN
ejpam-6467	161	88	)	)	PUNCT
ejpam-6467	161	89	θ	θ	PROPN
ejpam-6467	161	90	(	(	PUNCT
ejpam-6467	161	91	τ	τ	PROPN
ejpam-6467	161	92	)	)	PUNCT
ejpam-6467	161	93	−	−	PROPN
ejpam-6467	161	94	1	1	NUM
ejpam-6467	161	95	γξγ	γξγ	NOUN
ejpam-6467	161	96	(	(	PUNCT
ejpam-6467	161	97	ξ	ξ	NOUN
ejpam-6467	161	98	)	)	PUNCT
ejpam-6467	161	99	e	e	PROPN
ejpam-6467	161	100	γ−1	γ−1	PROPN
ejpam-6467	161	101	γ	γ	X
ejpam-6467	161	102	(	(	PUNCT
ejpam-6467	161	103	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	161	104	)	)	PUNCT
ejpam-6467	161	105	)	)	PUNCT
ejpam-6467	161	106	(	(	PUNCT
ejpam-6467	161	107	ω	ω	X
ejpam-6467	161	108	(	(	PUNCT
ejpam-6467	161	109	κ)−	κ)−	PROPN
ejpam-6467	161	110	ω	ω	PROPN
ejpam-6467	161	111	(	(	PUNCT
ejpam-6467	161	112	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	161	113	(	(	PUNCT
ejpam-6467	161	114	τ	τ	X
ejpam-6467	161	115	)	)	PUNCT
ejpam-6467	161	116	f	f	PROPN
ejpam-6467	161	117	(	(	PUNCT
ejpam-6467	161	118	ϱ	ϱ	PROPN
ejpam-6467	161	119	)	)	PUNCT
ejpam-6467	161	120	g	g	PROPN
ejpam-6467	161	121	(	(	PUNCT
ejpam-6467	161	122	τ	τ	PROPN
ejpam-6467	161	123	)	)	PUNCT
ejpam-6467	161	124	θ	θ	PROPN
ejpam-6467	161	125	(	(	PUNCT
ejpam-6467	161	126	τ	τ	X
ejpam-6467	161	127	)	)	PUNCT
ejpam-6467	161	128	+	+	CCONJ
ejpam-6467	161	129	1	1	NUM
ejpam-6467	161	130	γξγ	γξγ	NOUN
ejpam-6467	161	131	(	(	PUNCT
ejpam-6467	161	132	ξ	ξ	NOUN
ejpam-6467	161	133	)	)	PUNCT
ejpam-6467	161	134	e	e	PROPN
ejpam-6467	161	135	γ−1	γ−1	PROPN
ejpam-6467	161	136	γ	γ	X
ejpam-6467	161	137	(	(	PUNCT
ejpam-6467	161	138	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	161	139	)	)	PUNCT
ejpam-6467	161	140	)	)	PUNCT
ejpam-6467	161	141	(	(	PUNCT
ejpam-6467	161	142	ω	ω	X
ejpam-6467	161	143	(	(	PUNCT
ejpam-6467	161	144	κ)−	κ)−	PROPN
ejpam-6467	161	145	ω	ω	PROPN
ejpam-6467	161	146	(	(	PUNCT
ejpam-6467	161	147	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	161	148	(	(	PUNCT
ejpam-6467	161	149	τ	τ	X
ejpam-6467	161	150	)	)	PUNCT
ejpam-6467	161	151	f	f	PROPN
ejpam-6467	161	152	(	(	PUNCT
ejpam-6467	161	153	ϱ	ϱ	PROPN
ejpam-6467	161	154	)	)	PUNCT
ejpam-6467	161	155	g	g	NOUN
ejpam-6467	161	156	(	(	PUNCT
ejpam-6467	161	157	ϱ	ϱ	PROPN
ejpam-6467	161	158	)	)	PUNCT
ejpam-6467	161	159	θ	θ	PROPN
ejpam-6467	161	160	(	(	PUNCT
ejpam-6467	161	161	τ	τ	PROPN
ejpam-6467	161	162	)	)	PUNCT
ejpam-6467	161	163	−	−	PROPN
ejpam-6467	161	164	1	1	NUM
ejpam-6467	161	165	γξγ	γξγ	NOUN
ejpam-6467	161	166	(	(	PUNCT
ejpam-6467	161	167	ξ	ξ	NOUN
ejpam-6467	161	168	)	)	PUNCT
ejpam-6467	161	169	e	e	PROPN
ejpam-6467	161	170	γ−1	γ−1	PROPN
ejpam-6467	161	171	γ	γ	X
ejpam-6467	161	172	(	(	PUNCT
ejpam-6467	161	173	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	161	174	)	)	PUNCT
ejpam-6467	161	175	)	)	PUNCT
ejpam-6467	161	176	(	(	PUNCT
ejpam-6467	161	177	ω	ω	X
ejpam-6467	161	178	(	(	PUNCT
ejpam-6467	161	179	κ)−	κ)−	PROPN
ejpam-6467	161	180	ω	ω	PROPN
ejpam-6467	161	181	(	(	PUNCT
ejpam-6467	161	182	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	161	183	(	(	PUNCT
ejpam-6467	161	184	τ	τ	X
ejpam-6467	161	185	)	)	PUNCT
ejpam-6467	161	186	f	f	PROPN
ejpam-6467	161	187	(	(	PUNCT
ejpam-6467	161	188	τ	τ	PROPN
ejpam-6467	161	189	)	)	PUNCT
ejpam-6467	161	190	g	g	PROPN
ejpam-6467	161	191	(	(	PUNCT
ejpam-6467	161	192	τ	τ	PROPN
ejpam-6467	161	193	)	)	PUNCT
ejpam-6467	161	194	θ	θ	PROPN
ejpam-6467	161	195	(	(	PUNCT
ejpam-6467	161	196	ϱ	ϱ	NOUN
ejpam-6467	161	197	)	)	PUNCT
ejpam-6467	161	198	−	−	PROPN
ejpam-6467	161	199	1	1	NUM
ejpam-6467	161	200	γξγ	γξγ	NOUN
ejpam-6467	161	201	(	(	PUNCT
ejpam-6467	161	202	ξ	ξ	NOUN
ejpam-6467	161	203	)	)	PUNCT
ejpam-6467	161	204	e	e	PROPN
ejpam-6467	161	205	γ−1	γ−1	PROPN
ejpam-6467	161	206	γ	γ	X
ejpam-6467	161	207	(	(	PUNCT
ejpam-6467	161	208	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	161	209	)	)	PUNCT
ejpam-6467	161	210	)	)	PUNCT
ejpam-6467	161	211	(	(	PUNCT
ejpam-6467	161	212	ω	ω	X
ejpam-6467	161	213	(	(	PUNCT
ejpam-6467	161	214	κ)−	κ)−	PROPN
ejpam-6467	161	215	ω	ω	PROPN
ejpam-6467	161	216	(	(	PUNCT
ejpam-6467	161	217	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	161	218	(	(	PUNCT
ejpam-6467	161	219	τ	τ	X
ejpam-6467	161	220	)	)	PUNCT
ejpam-6467	161	221	f	f	PROPN
ejpam-6467	161	222	(	(	PUNCT
ejpam-6467	161	223	τ	τ	PROPN
ejpam-6467	161	224	)	)	PUNCT
ejpam-6467	161	225	g	g	PROPN
ejpam-6467	161	226	(	(	PUNCT
ejpam-6467	161	227	ϱ	ϱ	PROPN
ejpam-6467	161	228	)	)	PUNCT
ejpam-6467	161	229	θ	θ	PROPN
ejpam-6467	161	230	(	(	PUNCT
ejpam-6467	161	231	ϱ	ϱ	NOUN
ejpam-6467	161	232	)	)	PUNCT
ejpam-6467	161	233	+	+	CCONJ
ejpam-6467	161	234	1	1	NUM
ejpam-6467	161	235	γξγ	γξγ	NOUN
ejpam-6467	161	236	(	(	PUNCT
ejpam-6467	161	237	ξ	ξ	NOUN
ejpam-6467	161	238	)	)	PUNCT
ejpam-6467	161	239	e	e	PROPN
ejpam-6467	161	240	γ−1	γ−1	PROPN
ejpam-6467	161	241	γ	γ	X
ejpam-6467	161	242	(	(	PUNCT
ejpam-6467	161	243	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	161	244	)	)	PUNCT
ejpam-6467	161	245	)	)	PUNCT
ejpam-6467	161	246	(	(	PUNCT
ejpam-6467	161	247	ω	ω	X
ejpam-6467	161	248	(	(	PUNCT
ejpam-6467	161	249	κ)−	κ)−	PROPN
ejpam-6467	161	250	ω	ω	PROPN
ejpam-6467	161	251	(	(	PUNCT
ejpam-6467	161	252	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	161	253	(	(	PUNCT
ejpam-6467	161	254	τ	τ	X
ejpam-6467	161	255	)	)	PUNCT
ejpam-6467	161	256	f	f	PROPN
ejpam-6467	161	257	(	(	PUNCT
ejpam-6467	161	258	ϱ	ϱ	PROPN
ejpam-6467	161	259	)	)	PUNCT
ejpam-6467	161	260	g	g	PROPN
ejpam-6467	161	261	(	(	PUNCT
ejpam-6467	161	262	τ	τ	PROPN
ejpam-6467	161	263	)	)	PUNCT
ejpam-6467	161	264	θ	θ	PROPN
ejpam-6467	161	265	(	(	PUNCT
ejpam-6467	161	266	ϱ	ϱ	PROPN
ejpam-6467	161	267	)	)	PUNCT
ejpam-6467	161	268	≥	≥	NOUN
ejpam-6467	161	269	0	0	NUM
ejpam-6467	161	270	.	.	PUNCT
ejpam-6467	162	1	(	(	PUNCT
ejpam-6467	162	2	26	26	NUM
ejpam-6467	162	3	)	)	PUNCT
ejpam-6467	162	4	integrating	integrate	VERB
ejpam-6467	162	5	the	the	DET
ejpam-6467	162	6	inequality	inequality	NOUN
ejpam-6467	162	7	(	(	PUNCT
ejpam-6467	162	8	26	26	NUM
ejpam-6467	162	9	)	)	PUNCT
ejpam-6467	162	10	at	at	ADP
ejpam-6467	162	11	(	(	PUNCT
ejpam-6467	162	12	a	a	DET
ejpam-6467	162	13	,	,	PUNCT
ejpam-6467	162	14	κ	κ	NOUN
ejpam-6467	162	15	)	)	PUNCT
ejpam-6467	162	16	with	with	ADP
ejpam-6467	162	17	respect	respect	NOUN
ejpam-6467	162	18	to	to	ADP
ejpam-6467	162	19	τ	τ	PROPN
ejpam-6467	162	20	,	,	PUNCT
ejpam-6467	162	21	we	we	PRON
ejpam-6467	162	22	have	have	VERB
ejpam-6467	162	23	1	1	NUM
ejpam-6467	162	24	γξγ	γξγ	NOUN
ejpam-6467	162	25	(	(	PUNCT
ejpam-6467	162	26	ξ	ξ	NOUN
ejpam-6467	162	27	)	)	PUNCT
ejpam-6467	162	28	∫	∫	PROPN
ejpam-6467	162	29	κ	κ	PROPN
ejpam-6467	162	30	a	a	DET
ejpam-6467	162	31	e	e	PROPN
ejpam-6467	162	32	γ−1	γ−1	PROPN
ejpam-6467	162	33	γ	γ	X
ejpam-6467	162	34	(	(	PUNCT
ejpam-6467	162	35	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	162	36	)	)	PUNCT
ejpam-6467	162	37	)	)	PUNCT
ejpam-6467	163	1	(	(	PUNCT
ejpam-6467	163	2	ω	ω	X
ejpam-6467	163	3	(	(	PUNCT
ejpam-6467	163	4	κ)−	κ)−	PROPN
ejpam-6467	163	5	ω	ω	PROPN
ejpam-6467	163	6	(	(	PUNCT
ejpam-6467	163	7	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	163	8	(	(	PUNCT
ejpam-6467	163	9	τ	τ	X
ejpam-6467	163	10	)	)	PUNCT
ejpam-6467	163	11	f	f	PROPN
ejpam-6467	163	12	(	(	PUNCT
ejpam-6467	163	13	τ	τ	PROPN
ejpam-6467	163	14	)	)	PUNCT
ejpam-6467	163	15	g	g	PROPN
ejpam-6467	163	16	(	(	PUNCT
ejpam-6467	163	17	τ	τ	PROPN
ejpam-6467	163	18	)	)	PUNCT
ejpam-6467	163	19	θ	θ	PROPN
ejpam-6467	163	20	(	(	PUNCT
ejpam-6467	163	21	τ	τ	PROPN
ejpam-6467	163	22	)	)	PUNCT
ejpam-6467	163	23	dτ	dτ	PROPN
ejpam-6467	163	24	j.	j.	PROPN
ejpam-6467	163	25	nasir	nasir	PROPN
ejpam-6467	163	26	,	,	PUNCT
ejpam-6467	163	27	h.	h.	PROPN
ejpam-6467	163	28	qawaqneh	qawaqneh	PROPN
ejpam-6467	163	29	,	,	PUNCT
ejpam-6467	163	30	h.	h.	PROPN
ejpam-6467	163	31	aydi	aydi	VERB
ejpam-6467	163	32	/	/	SYM
ejpam-6467	163	33	eur	eur	NOUN
ejpam-6467	163	34	.	.	PUNCT
ejpam-6467	164	1	j.	j.	PROPN
ejpam-6467	164	2	pure	pure	PROPN
ejpam-6467	164	3	appl	appl	PROPN
ejpam-6467	164	4	.	.	PROPN
ejpam-6467	164	5	math	math	PROPN
ejpam-6467	164	6	,	,	PUNCT
ejpam-6467	164	7	18	18	NUM
ejpam-6467	164	8	(	(	PUNCT
ejpam-6467	164	9	3	3	NUM
ejpam-6467	164	10	)	)	PUNCT
ejpam-6467	164	11	(	(	PUNCT
ejpam-6467	164	12	2025	2025	NUM
ejpam-6467	164	13	)	)	PUNCT
ejpam-6467	164	14	,	,	PUNCT
ejpam-6467	164	15	6467	6467	NUM
ejpam-6467	164	16	9	9	NUM
ejpam-6467	164	17	of	of	ADP
ejpam-6467	164	18	16	16	NUM
ejpam-6467	164	19	−	−	NUM
ejpam-6467	164	20	1	1	NUM
ejpam-6467	164	21	γξγ	γξγ	NOUN
ejpam-6467	164	22	(	(	PUNCT
ejpam-6467	164	23	ξ	ξ	NOUN
ejpam-6467	164	24	)	)	PUNCT
ejpam-6467	164	25	∫	∫	PROPN
ejpam-6467	164	26	κ	κ	PROPN
ejpam-6467	164	27	a	a	DET
ejpam-6467	164	28	e	e	PROPN
ejpam-6467	164	29	γ−1	γ−1	PROPN
ejpam-6467	164	30	γ	γ	X
ejpam-6467	164	31	(	(	PUNCT
ejpam-6467	164	32	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	164	33	)	)	PUNCT
ejpam-6467	164	34	)	)	PUNCT
ejpam-6467	165	1	(	(	PUNCT
ejpam-6467	165	2	ω	ω	X
ejpam-6467	165	3	(	(	PUNCT
ejpam-6467	165	4	κ)−	κ)−	PROPN
ejpam-6467	165	5	ω	ω	PROPN
ejpam-6467	165	6	(	(	PUNCT
ejpam-6467	165	7	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	165	8	(	(	PUNCT
ejpam-6467	165	9	τ	τ	X
ejpam-6467	165	10	)	)	PUNCT
ejpam-6467	165	11	f	f	PROPN
ejpam-6467	165	12	(	(	PUNCT
ejpam-6467	165	13	ϱ	ϱ	PROPN
ejpam-6467	165	14	)	)	PUNCT
ejpam-6467	165	15	g	g	NOUN
ejpam-6467	165	16	(	(	PUNCT
ejpam-6467	165	17	ϱ	ϱ	PROPN
ejpam-6467	165	18	)	)	PUNCT
ejpam-6467	165	19	θ	θ	PROPN
ejpam-6467	165	20	(	(	PUNCT
ejpam-6467	165	21	ϱ	ϱ	PROPN
ejpam-6467	165	22	)	)	PUNCT
ejpam-6467	165	23	dτ	dτ	NOUN
ejpam-6467	165	24	−	−	PROPN
ejpam-6467	165	25	1	1	NUM
ejpam-6467	165	26	γξγ	γξγ	NOUN
ejpam-6467	165	27	(	(	PUNCT
ejpam-6467	165	28	ξ	ξ	NOUN
ejpam-6467	165	29	)	)	PUNCT
ejpam-6467	165	30	∫	∫	PROPN
ejpam-6467	165	31	κ	κ	PROPN
ejpam-6467	165	32	a	a	DET
ejpam-6467	165	33	e	e	PROPN
ejpam-6467	165	34	γ−1	γ−1	PROPN
ejpam-6467	165	35	γ	γ	X
ejpam-6467	165	36	(	(	PUNCT
ejpam-6467	165	37	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	165	38	)	)	PUNCT
ejpam-6467	165	39	)	)	PUNCT
ejpam-6467	165	40	(	(	PUNCT
ejpam-6467	165	41	ω	ω	X
ejpam-6467	165	42	(	(	PUNCT
ejpam-6467	165	43	κ)−	κ)−	PROPN
ejpam-6467	165	44	ω	ω	PROPN
ejpam-6467	165	45	(	(	PUNCT
ejpam-6467	165	46	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	165	47	(	(	PUNCT
ejpam-6467	165	48	τ	τ	X
ejpam-6467	165	49	)	)	PUNCT
ejpam-6467	165	50	f	f	PROPN
ejpam-6467	165	51	(	(	PUNCT
ejpam-6467	165	52	τ	τ	PROPN
ejpam-6467	165	53	)	)	PUNCT
ejpam-6467	165	54	g	g	PROPN
ejpam-6467	165	55	(	(	PUNCT
ejpam-6467	165	56	ϱ	ϱ	PROPN
ejpam-6467	165	57	)	)	PUNCT
ejpam-6467	165	58	θ	θ	PROPN
ejpam-6467	165	59	(	(	PUNCT
ejpam-6467	165	60	τ	τ	NOUN
ejpam-6467	165	61	)	)	PUNCT
ejpam-6467	165	62	dτ	dτ	NOUN
ejpam-6467	165	63	−	−	PROPN
ejpam-6467	165	64	1	1	NUM
ejpam-6467	165	65	γξγ	γξγ	NOUN
ejpam-6467	165	66	(	(	PUNCT
ejpam-6467	165	67	ξ	ξ	NOUN
ejpam-6467	165	68	)	)	PUNCT
ejpam-6467	165	69	∫	∫	PROPN
ejpam-6467	165	70	κ	κ	PROPN
ejpam-6467	165	71	a	a	DET
ejpam-6467	165	72	e	e	PROPN
ejpam-6467	165	73	γ−1	γ−1	PROPN
ejpam-6467	165	74	γ	γ	X
ejpam-6467	165	75	(	(	PUNCT
ejpam-6467	165	76	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	165	77	)	)	PUNCT
ejpam-6467	165	78	)	)	PUNCT
ejpam-6467	165	79	(	(	PUNCT
ejpam-6467	165	80	ω	ω	X
ejpam-6467	165	81	(	(	PUNCT
ejpam-6467	165	82	κ)−	κ)−	PROPN
ejpam-6467	165	83	ω	ω	PROPN
ejpam-6467	165	84	(	(	PUNCT
ejpam-6467	165	85	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	165	86	(	(	PUNCT
ejpam-6467	165	87	τ	τ	X
ejpam-6467	165	88	)	)	PUNCT
ejpam-6467	165	89	f	f	PROPN
ejpam-6467	165	90	(	(	PUNCT
ejpam-6467	165	91	ϱ	ϱ	PROPN
ejpam-6467	165	92	)	)	PUNCT
ejpam-6467	165	93	g	g	PROPN
ejpam-6467	165	94	(	(	PUNCT
ejpam-6467	165	95	τ	τ	PROPN
ejpam-6467	165	96	)	)	PUNCT
ejpam-6467	165	97	θ	θ	PROPN
ejpam-6467	165	98	(	(	PUNCT
ejpam-6467	165	99	τ	τ	NOUN
ejpam-6467	165	100	)	)	PUNCT
ejpam-6467	165	101	dτ	dτ	NOUN
ejpam-6467	165	102	+	+	CCONJ
ejpam-6467	165	103	1	1	NUM
ejpam-6467	165	104	γξγ	γξγ	NOUN
ejpam-6467	165	105	(	(	PUNCT
ejpam-6467	165	106	ξ	ξ	NOUN
ejpam-6467	165	107	)	)	PUNCT
ejpam-6467	165	108	∫	∫	PROPN
ejpam-6467	165	109	κ	κ	PROPN
ejpam-6467	165	110	a	a	DET
ejpam-6467	165	111	e	e	PROPN
ejpam-6467	165	112	γ−1	γ−1	PROPN
ejpam-6467	165	113	γ	γ	X
ejpam-6467	165	114	(	(	PUNCT
ejpam-6467	165	115	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	165	116	)	)	PUNCT
ejpam-6467	165	117	)	)	PUNCT
ejpam-6467	165	118	(	(	PUNCT
ejpam-6467	165	119	ω	ω	X
ejpam-6467	165	120	(	(	PUNCT
ejpam-6467	165	121	κ)−	κ)−	PROPN
ejpam-6467	165	122	ω	ω	PROPN
ejpam-6467	165	123	(	(	PUNCT
ejpam-6467	165	124	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	165	125	(	(	PUNCT
ejpam-6467	165	126	τ	τ	X
ejpam-6467	165	127	)	)	PUNCT
ejpam-6467	165	128	f	f	PROPN
ejpam-6467	165	129	(	(	PUNCT
ejpam-6467	165	130	ϱ	ϱ	PROPN
ejpam-6467	165	131	)	)	PUNCT
ejpam-6467	165	132	g	g	NOUN
ejpam-6467	165	133	(	(	PUNCT
ejpam-6467	165	134	ϱ	ϱ	PROPN
ejpam-6467	165	135	)	)	PUNCT
ejpam-6467	165	136	θ	θ	PROPN
ejpam-6467	165	137	(	(	PUNCT
ejpam-6467	165	138	τ	τ	NOUN
ejpam-6467	165	139	)	)	PUNCT
ejpam-6467	165	140	dτ	dτ	NOUN
ejpam-6467	165	141	−	−	PROPN
ejpam-6467	165	142	1	1	NUM
ejpam-6467	165	143	γξγ	γξγ	NOUN
ejpam-6467	165	144	(	(	PUNCT
ejpam-6467	165	145	ξ	ξ	NOUN
ejpam-6467	165	146	)	)	PUNCT
ejpam-6467	165	147	∫	∫	PROPN
ejpam-6467	165	148	κ	κ	PROPN
ejpam-6467	165	149	a	a	DET
ejpam-6467	165	150	e	e	PROPN
ejpam-6467	165	151	γ−1	γ−1	PROPN
ejpam-6467	165	152	γ	γ	X
ejpam-6467	165	153	(	(	PUNCT
ejpam-6467	165	154	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	165	155	)	)	PUNCT
ejpam-6467	165	156	)	)	PUNCT
ejpam-6467	165	157	(	(	PUNCT
ejpam-6467	165	158	ω	ω	X
ejpam-6467	165	159	(	(	PUNCT
ejpam-6467	165	160	κ)−	κ)−	PROPN
ejpam-6467	165	161	ω	ω	PROPN
ejpam-6467	165	162	(	(	PUNCT
ejpam-6467	165	163	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	165	164	(	(	PUNCT
ejpam-6467	165	165	τ	τ	X
ejpam-6467	165	166	)	)	PUNCT
ejpam-6467	165	167	f	f	PROPN
ejpam-6467	165	168	(	(	PUNCT
ejpam-6467	165	169	τ	τ	PROPN
ejpam-6467	165	170	)	)	PUNCT
ejpam-6467	165	171	g	g	PROPN
ejpam-6467	165	172	(	(	PUNCT
ejpam-6467	165	173	τ	τ	PROPN
ejpam-6467	165	174	)	)	PUNCT
ejpam-6467	165	175	θ	θ	PROPN
ejpam-6467	165	176	(	(	PUNCT
ejpam-6467	165	177	ϱ	ϱ	PROPN
ejpam-6467	165	178	)	)	PUNCT
ejpam-6467	165	179	dτ	dτ	NOUN
ejpam-6467	165	180	−	−	PROPN
ejpam-6467	165	181	1	1	NUM
ejpam-6467	165	182	γξγ	γξγ	NOUN
ejpam-6467	165	183	(	(	PUNCT
ejpam-6467	165	184	ξ	ξ	NOUN
ejpam-6467	165	185	)	)	PUNCT
ejpam-6467	165	186	∫	∫	PROPN
ejpam-6467	165	187	κ	κ	PROPN
ejpam-6467	165	188	a	a	DET
ejpam-6467	165	189	e	e	PROPN
ejpam-6467	165	190	γ−1	γ−1	PROPN
ejpam-6467	165	191	γ	γ	X
ejpam-6467	165	192	(	(	PUNCT
ejpam-6467	165	193	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	165	194	)	)	PUNCT
ejpam-6467	165	195	)	)	PUNCT
ejpam-6467	166	1	(	(	PUNCT
ejpam-6467	166	2	ω	ω	X
ejpam-6467	166	3	(	(	PUNCT
ejpam-6467	166	4	κ)−	κ)−	PROPN
ejpam-6467	166	5	ω	ω	PROPN
ejpam-6467	166	6	(	(	PUNCT
ejpam-6467	166	7	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	166	8	(	(	PUNCT
ejpam-6467	166	9	τ	τ	X
ejpam-6467	166	10	)	)	PUNCT
ejpam-6467	166	11	f	f	PROPN
ejpam-6467	166	12	(	(	PUNCT
ejpam-6467	166	13	τ	τ	PROPN
ejpam-6467	166	14	)	)	PUNCT
ejpam-6467	166	15	g	g	PROPN
ejpam-6467	166	16	(	(	PUNCT
ejpam-6467	166	17	ϱ	ϱ	PROPN
ejpam-6467	166	18	)	)	PUNCT
ejpam-6467	166	19	θ	θ	PROPN
ejpam-6467	166	20	(	(	PUNCT
ejpam-6467	166	21	ϱ	ϱ	PROPN
ejpam-6467	166	22	)	)	PUNCT
ejpam-6467	166	23	dτ	dτ	NOUN
ejpam-6467	166	24	+	+	CCONJ
ejpam-6467	166	25	1	1	NUM
ejpam-6467	166	26	γξγ	γξγ	NOUN
ejpam-6467	166	27	(	(	PUNCT
ejpam-6467	166	28	ξ	ξ	NOUN
ejpam-6467	166	29	)	)	PUNCT
ejpam-6467	166	30	∫	∫	PROPN
ejpam-6467	166	31	κ	κ	PROPN
ejpam-6467	166	32	a	a	DET
ejpam-6467	166	33	e	e	PROPN
ejpam-6467	166	34	γ−1	γ−1	PROPN
ejpam-6467	166	35	γ	γ	X
ejpam-6467	166	36	(	(	PUNCT
ejpam-6467	166	37	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	166	38	)	)	PUNCT
ejpam-6467	166	39	)	)	PUNCT
ejpam-6467	166	40	(	(	PUNCT
ejpam-6467	166	41	ω	ω	X
ejpam-6467	166	42	(	(	PUNCT
ejpam-6467	166	43	κ)−	κ)−	PROPN
ejpam-6467	166	44	ω	ω	PROPN
ejpam-6467	166	45	(	(	PUNCT
ejpam-6467	166	46	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	166	47	(	(	PUNCT
ejpam-6467	166	48	τ	τ	X
ejpam-6467	166	49	)	)	PUNCT
ejpam-6467	166	50	f	f	PROPN
ejpam-6467	166	51	(	(	PUNCT
ejpam-6467	166	52	ϱ	ϱ	PROPN
ejpam-6467	166	53	)	)	PUNCT
ejpam-6467	166	54	g	g	PROPN
ejpam-6467	166	55	(	(	PUNCT
ejpam-6467	166	56	τ	τ	PROPN
ejpam-6467	166	57	)	)	PUNCT
ejpam-6467	166	58	θ	θ	PROPN
ejpam-6467	166	59	(	(	PUNCT
ejpam-6467	166	60	ϱ	ϱ	PROPN
ejpam-6467	166	61	)	)	PUNCT
ejpam-6467	166	62	dτ	dτ	NOUN
ejpam-6467	166	63	≥	≥	PROPN
ejpam-6467	166	64	0	0	NUM
ejpam-6467	166	65	.	.	PUNCT
ejpam-6467	166	66	(	(	PUNCT
ejpam-6467	166	67	27	27	NUM
ejpam-6467	166	68	)	)	PUNCT
ejpam-6467	166	69	that	that	PRON
ejpam-6467	166	70	is	be	AUX
ejpam-6467	166	71	,	,	PUNCT
ejpam-6467	166	72	[	[	PUNCT
ejpam-6467	166	73	(	(	PUNCT
ejpam-6467	166	74	ai	ai	VERB
ejpam-6467	166	75	ξ	ξ	PROPN
ejpam-6467	166	76	,	,	PUNCT
ejpam-6467	166	77	γ	γ	NOUN
ejpam-6467	166	78	,	,	PUNCT
ejpam-6467	166	79	ωfgθ	ωfgθ	NOUN
ejpam-6467	166	80	)	)	PUNCT
ejpam-6467	166	81	(	(	PUNCT
ejpam-6467	166	82	κ)]−	κ)]−	NOUN
ejpam-6467	166	83	f	f	PROPN
ejpam-6467	166	84	(	(	PUNCT
ejpam-6467	166	85	ϱ	ϱ	PROPN
ejpam-6467	166	86	)	)	PUNCT
ejpam-6467	166	87	g	g	NOUN
ejpam-6467	166	88	(	(	PUNCT
ejpam-6467	166	89	ϱ	ϱ	PROPN
ejpam-6467	166	90	)	)	PUNCT
ejpam-6467	166	91	θ	θ	PROPN
ejpam-6467	166	92	(	(	PUNCT
ejpam-6467	166	93	ϱ	ϱ	NOUN
ejpam-6467	166	94	)	)	PUNCT
ejpam-6467	166	95	.[ai	.[ai	PUNCT
ejpam-6467	167	1	ξ	ξ	X
ejpam-6467	167	2	,	,	PUNCT
ejpam-6467	167	3	γ	γ	X
ejpam-6467	167	4	,	,	PUNCT
ejpam-6467	167	5	ω(1	ω(1	PROPN
ejpam-6467	167	6	)	)	PUNCT
ejpam-6467	167	7	]	]	PUNCT
ejpam-6467	167	8	≥	≥	PROPN
ejpam-6467	167	9	g	g	PROPN
ejpam-6467	167	10	(	(	PUNCT
ejpam-6467	167	11	ϱ	ϱ	PROPN
ejpam-6467	167	12	)	)	PUNCT
ejpam-6467	167	13	[	[	PUNCT
ejpam-6467	167	14	(	(	PUNCT
ejpam-6467	167	15	ai	ai	VERB
ejpam-6467	167	16	ξ	ξ	PROPN
ejpam-6467	167	17	,	,	PUNCT
ejpam-6467	167	18	γ	γ	X
ejpam-6467	167	19	,	,	PUNCT
ejpam-6467	167	20	ωfθ	ωfθ	PROPN
ejpam-6467	167	21	)	)	PUNCT
ejpam-6467	167	22	(	(	PUNCT
ejpam-6467	167	23	κ	κ	NOUN
ejpam-6467	167	24	)	)	PUNCT
ejpam-6467	167	25	]	]	PUNCT
ejpam-6467	168	1	+	+	CCONJ
ejpam-6467	168	2	f	f	X
ejpam-6467	168	3	(	(	PUNCT
ejpam-6467	168	4	ϱ	ϱ	PROPN
ejpam-6467	168	5	)	)	PUNCT
ejpam-6467	168	6	[	[	PUNCT
ejpam-6467	168	7	(	(	PUNCT
ejpam-6467	168	8	ai	ai	VERB
ejpam-6467	168	9	ξ	ξ	PROPN
ejpam-6467	168	10	,	,	PUNCT
ejpam-6467	168	11	γ	γ	X
ejpam-6467	168	12	,	,	PUNCT
ejpam-6467	168	13	ωgθ	ωgθ	NOUN
ejpam-6467	168	14	)	)	PUNCT
ejpam-6467	168	15	(	(	PUNCT
ejpam-6467	168	16	κ	κ	NOUN
ejpam-6467	168	17	)	)	PUNCT
ejpam-6467	168	18	]	]	PUNCT
ejpam-6467	168	19	−	−	PROPN
ejpam-6467	168	20	f	f	X
ejpam-6467	168	21	(	(	PUNCT
ejpam-6467	168	22	ϱ	ϱ	PROPN
ejpam-6467	168	23	)	)	PUNCT
ejpam-6467	168	24	g	g	NOUN
ejpam-6467	168	25	(	(	PUNCT
ejpam-6467	168	26	ϱ	ϱ	PROPN
ejpam-6467	168	27	)	)	PUNCT
ejpam-6467	168	28	[	[	PUNCT
ejpam-6467	168	29	(	(	PUNCT
ejpam-6467	168	30	ai	ai	VERB
ejpam-6467	168	31	ξ	ξ	PROPN
ejpam-6467	168	32	,	,	PUNCT
ejpam-6467	168	33	γ	γ	X
ejpam-6467	168	34	,	,	PUNCT
ejpam-6467	168	35	ωθ	ωθ	NUM
ejpam-6467	168	36	)	)	PUNCT
ejpam-6467	168	37	(	(	PUNCT
ejpam-6467	168	38	κ	κ	NOUN
ejpam-6467	168	39	)	)	PUNCT
ejpam-6467	168	40	]	]	PUNCT
ejpam-6467	169	1	+	+	NUM
ejpam-6467	169	2	θ	θ	PROPN
ejpam-6467	169	3	(	(	PUNCT
ejpam-6467	169	4	ϱ	ϱ	NOUN
ejpam-6467	169	5	)	)	PUNCT
ejpam-6467	169	6	[	[	PUNCT
ejpam-6467	169	7	(	(	PUNCT
ejpam-6467	169	8	ai	ai	VERB
ejpam-6467	169	9	ξ	ξ	PROPN
ejpam-6467	169	10	,	,	PUNCT
ejpam-6467	169	11	γ	γ	X
ejpam-6467	169	12	,	,	PUNCT
ejpam-6467	169	13	ωfg	ωfg	NOUN
ejpam-6467	169	14	)	)	PUNCT
ejpam-6467	169	15	(	(	PUNCT
ejpam-6467	169	16	κ	κ	NOUN
ejpam-6467	169	17	)	)	PUNCT
ejpam-6467	169	18	]	]	PUNCT
ejpam-6467	170	1	+	+	CCONJ
ejpam-6467	170	2	g	g	PROPN
ejpam-6467	170	3	(	(	PUNCT
ejpam-6467	170	4	ϱ	ϱ	PROPN
ejpam-6467	170	5	)	)	PUNCT
ejpam-6467	170	6	θ	θ	PROPN
ejpam-6467	170	7	(	(	PUNCT
ejpam-6467	170	8	ϱ	ϱ	NOUN
ejpam-6467	170	9	)	)	PUNCT
ejpam-6467	170	10	[	[	PUNCT
ejpam-6467	170	11	(	(	PUNCT
ejpam-6467	170	12	ai	ai	VERB
ejpam-6467	170	13	ξ	ξ	PROPN
ejpam-6467	170	14	,	,	PUNCT
ejpam-6467	170	15	γ	γ	X
ejpam-6467	170	16	,	,	PUNCT
ejpam-6467	170	17	ωf	ωf	X
ejpam-6467	170	18	)	)	PUNCT
ejpam-6467	170	19	(	(	PUNCT
ejpam-6467	170	20	κ	κ	NOUN
ejpam-6467	170	21	)	)	PUNCT
ejpam-6467	170	22	]	]	PUNCT
ejpam-6467	171	1	−	−	PROPN
ejpam-6467	171	2	f	f	X
ejpam-6467	171	3	(	(	PUNCT
ejpam-6467	171	4	ϱ	ϱ	PROPN
ejpam-6467	171	5	)	)	PUNCT
ejpam-6467	171	6	θ	θ	PROPN
ejpam-6467	171	7	(	(	PUNCT
ejpam-6467	171	8	ϱ	ϱ	NOUN
ejpam-6467	171	9	)	)	PUNCT
ejpam-6467	171	10	[	[	PUNCT
ejpam-6467	171	11	(	(	PUNCT
ejpam-6467	171	12	ai	ai	VERB
ejpam-6467	171	13	ξ	ξ	PROPN
ejpam-6467	171	14	,	,	PUNCT
ejpam-6467	171	15	γ	γ	X
ejpam-6467	171	16	,	,	PUNCT
ejpam-6467	171	17	ωg	ωg	X
ejpam-6467	171	18	)	)	PUNCT
ejpam-6467	171	19	(	(	PUNCT
ejpam-6467	171	20	κ	κ	NOUN
ejpam-6467	171	21	)	)	PUNCT
ejpam-6467	171	22	]	]	PUNCT
ejpam-6467	171	23	.	.	PUNCT
ejpam-6467	172	1	(	(	PUNCT
ejpam-6467	172	2	28	28	X
ejpam-6467	172	3	)	)	PUNCT
ejpam-6467	172	4	multiplying	multiply	VERB
ejpam-6467	172	5	both	both	DET
ejpam-6467	172	6	sides	side	NOUN
ejpam-6467	172	7	of	of	ADP
ejpam-6467	172	8	(	(	PUNCT
ejpam-6467	172	9	28	28	NUM
ejpam-6467	172	10	)	)	PUNCT
ejpam-6467	172	11	with	with	ADP
ejpam-6467	172	12	1	1	NUM
ejpam-6467	172	13	γβγ(β	γβγ(β	NOUN
ejpam-6467	172	14	)	)	PUNCT
ejpam-6467	172	15	e	e	PROPN
ejpam-6467	172	16	γ−1	γ−1	PROPN
ejpam-6467	172	17	γ	γ	X
ejpam-6467	172	18	(	(	PUNCT
ejpam-6467	172	19	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	172	20	)	)	PUNCT
ejpam-6467	172	21	)	)	PUNCT
ejpam-6467	173	1	(	(	PUNCT
ejpam-6467	173	2	ω	ω	X
ejpam-6467	173	3	(	(	PUNCT
ejpam-6467	173	4	κ)−	κ)−	PROPN
ejpam-6467	173	5	ω	ω	PROPN
ejpam-6467	173	6	(	(	PUNCT
ejpam-6467	173	7	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	173	8	(	(	PUNCT
ejpam-6467	173	9	ϱ	ϱ	PROPN
ejpam-6467	173	10	)	)	PUNCT
ejpam-6467	173	11	,	,	PUNCT
ejpam-6467	173	12	ϱ	ϱ	PROPN
ejpam-6467	173	13	∈	∈	PROPN
ejpam-6467	173	14	(	(	PUNCT
ejpam-6467	173	15	a	a	PRON
ejpam-6467	173	16	,	,	PUNCT
ejpam-6467	173	17	κ	κ	NOUN
ejpam-6467	173	18	)	)	PUNCT
ejpam-6467	173	19	with	with	ADP
ejpam-6467	173	20	respect	respect	NOUN
ejpam-6467	173	21	to	to	ADP
ejpam-6467	173	22	ϱ	ϱ	VERB
ejpam-6467	173	23	,	,	PUNCT
ejpam-6467	173	24	we	we	PRON
ejpam-6467	173	25	obtain	obtain	VERB
ejpam-6467	173	26	[	[	PUNCT
ejpam-6467	173	27	(	(	PUNCT
ejpam-6467	173	28	ai	ai	VERB
ejpam-6467	173	29	ξ	ξ	PROPN
ejpam-6467	173	30	,	,	PUNCT
ejpam-6467	173	31	γ	γ	NOUN
ejpam-6467	173	32	,	,	PUNCT
ejpam-6467	173	33	ωfgθ	ωfgθ	NOUN
ejpam-6467	173	34	)	)	PUNCT
ejpam-6467	173	35	(	(	PUNCT
ejpam-6467	173	36	κ	κ	NOUN
ejpam-6467	173	37	)	)	PUNCT
ejpam-6467	173	38	]	]	PUNCT
ejpam-6467	174	1	∫	∫	PROPN
ejpam-6467	174	2	κ	κ	PROPN
ejpam-6467	174	3	a	a	DET
ejpam-6467	174	4	1	1	NUM
ejpam-6467	174	5	γβγ	γβγ	X
ejpam-6467	174	6	(	(	PUNCT
ejpam-6467	174	7	β	β	X
ejpam-6467	174	8	)	)	PUNCT
ejpam-6467	174	9	e	e	NOUN
ejpam-6467	174	10	γ−1	γ−1	PROPN
ejpam-6467	174	11	γ	γ	X
ejpam-6467	174	12	(	(	PUNCT
ejpam-6467	174	13	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	174	14	)	)	PUNCT
ejpam-6467	174	15	)	)	PUNCT
ejpam-6467	174	16	(	(	PUNCT
ejpam-6467	174	17	ω	ω	X
ejpam-6467	174	18	(	(	PUNCT
ejpam-6467	174	19	κ)−	κ)−	PROPN
ejpam-6467	174	20	ω	ω	PROPN
ejpam-6467	174	21	(	(	PUNCT
ejpam-6467	174	22	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	174	23	(	(	PUNCT
ejpam-6467	174	24	ϱ	ϱ	NOUN
ejpam-6467	174	25	)	)	PUNCT
ejpam-6467	174	26	−	−	PROPN
ejpam-6467	175	1	[	[	X
ejpam-6467	175	2	ai	ai	VERB
ejpam-6467	175	3	ξ	ξ	PROPN
ejpam-6467	175	4	,	,	PUNCT
ejpam-6467	175	5	γ	γ	X
ejpam-6467	175	6	,	,	PUNCT
ejpam-6467	175	7	ω(1	ω(1	PROPN
ejpam-6467	175	8	)	)	PUNCT
ejpam-6467	175	9	]	]	PUNCT
ejpam-6467	175	10	∫	∫	PROPN
ejpam-6467	175	11	κ	κ	PROPN
ejpam-6467	175	12	a	a	DET
ejpam-6467	175	13	1	1	NUM
ejpam-6467	175	14	γβγ	γβγ	X
ejpam-6467	175	15	(	(	PUNCT
ejpam-6467	175	16	β	β	X
ejpam-6467	175	17	)	)	PUNCT
ejpam-6467	175	18	e	e	NOUN
ejpam-6467	175	19	γ−1	γ−1	PROPN
ejpam-6467	175	20	γ	γ	X
ejpam-6467	175	21	(	(	PUNCT
ejpam-6467	175	22	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	175	23	)	)	PUNCT
ejpam-6467	175	24	)	)	PUNCT
ejpam-6467	175	25	(	(	PUNCT
ejpam-6467	175	26	ω	ω	X
ejpam-6467	175	27	(	(	PUNCT
ejpam-6467	175	28	κ)−	κ)−	PROPN
ejpam-6467	175	29	ω	ω	PROPN
ejpam-6467	175	30	(	(	PUNCT
ejpam-6467	175	31	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	175	32	(	(	PUNCT
ejpam-6467	175	33	ϱ	ϱ	PROPN
ejpam-6467	175	34	)	)	PUNCT
ejpam-6467	175	35	f	f	PROPN
ejpam-6467	175	36	(	(	PUNCT
ejpam-6467	175	37	ϱ	ϱ	PROPN
ejpam-6467	175	38	)	)	PUNCT
ejpam-6467	175	39	g	g	NOUN
ejpam-6467	175	40	(	(	PUNCT
ejpam-6467	175	41	ϱ	ϱ	PROPN
ejpam-6467	175	42	)	)	PUNCT
ejpam-6467	175	43	θ	θ	PROPN
ejpam-6467	175	44	(	(	PUNCT
ejpam-6467	175	45	ϱ	ϱ	NOUN
ejpam-6467	175	46	)	)	PUNCT
ejpam-6467	175	47	dϱ	dϱ	NOUN
ejpam-6467	175	48	≥	≥	NOUN
ejpam-6467	175	49	[	[	PUNCT
ejpam-6467	175	50	(	(	PUNCT
ejpam-6467	175	51	ai	ai	VERB
ejpam-6467	175	52	ξ	ξ	PROPN
ejpam-6467	175	53	,	,	PUNCT
ejpam-6467	175	54	γ	γ	X
ejpam-6467	175	55	,	,	PUNCT
ejpam-6467	175	56	ωfθ	ωfθ	PROPN
ejpam-6467	175	57	)	)	PUNCT
ejpam-6467	175	58	(	(	PUNCT
ejpam-6467	175	59	κ	κ	NOUN
ejpam-6467	175	60	)	)	PUNCT
ejpam-6467	175	61	]	]	PUNCT
ejpam-6467	176	1	∫	∫	PROPN
ejpam-6467	176	2	κ	κ	PROPN
ejpam-6467	176	3	a	a	DET
ejpam-6467	176	4	1	1	NUM
ejpam-6467	176	5	γβγ	γβγ	X
ejpam-6467	176	6	(	(	PUNCT
ejpam-6467	176	7	β	β	X
ejpam-6467	176	8	)	)	PUNCT
ejpam-6467	176	9	e	e	NOUN
ejpam-6467	176	10	γ−1	γ−1	PROPN
ejpam-6467	176	11	γ	γ	X
ejpam-6467	176	12	(	(	PUNCT
ejpam-6467	176	13	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	176	14	)	)	PUNCT
ejpam-6467	176	15	)	)	PUNCT
ejpam-6467	176	16	(	(	PUNCT
ejpam-6467	176	17	ω	ω	X
ejpam-6467	176	18	(	(	PUNCT
ejpam-6467	176	19	κ)−	κ)−	PROPN
ejpam-6467	176	20	ω	ω	PROPN
ejpam-6467	176	21	(	(	PUNCT
ejpam-6467	176	22	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	176	23	(	(	PUNCT
ejpam-6467	176	24	ϱ	ϱ	PROPN
ejpam-6467	176	25	)	)	PUNCT
ejpam-6467	176	26	g	g	NOUN
ejpam-6467	176	27	(	(	PUNCT
ejpam-6467	176	28	ϱ	ϱ	PROPN
ejpam-6467	176	29	)	)	PUNCT
ejpam-6467	176	30	dϱ	dϱ	NOUN
ejpam-6467	177	1	+	+	CCONJ
ejpam-6467	177	2	[	[	PUNCT
ejpam-6467	177	3	(	(	PUNCT
ejpam-6467	177	4	ai	ai	VERB
ejpam-6467	177	5	ξ	ξ	PROPN
ejpam-6467	177	6	,	,	PUNCT
ejpam-6467	177	7	γ	γ	X
ejpam-6467	177	8	,	,	PUNCT
ejpam-6467	177	9	ωgθ	ωgθ	NOUN
ejpam-6467	177	10	)	)	PUNCT
ejpam-6467	177	11	(	(	PUNCT
ejpam-6467	177	12	κ	κ	NOUN
ejpam-6467	177	13	)	)	PUNCT
ejpam-6467	177	14	]	]	PUNCT
ejpam-6467	178	1	∫	∫	PROPN
ejpam-6467	178	2	κ	κ	PROPN
ejpam-6467	178	3	a	a	DET
ejpam-6467	178	4	1	1	NUM
ejpam-6467	178	5	γβγ	γβγ	X
ejpam-6467	178	6	(	(	PUNCT
ejpam-6467	178	7	β	β	X
ejpam-6467	178	8	)	)	PUNCT
ejpam-6467	178	9	e	e	NOUN
ejpam-6467	178	10	γ−1	γ−1	PROPN
ejpam-6467	178	11	γ	γ	X
ejpam-6467	178	12	(	(	PUNCT
ejpam-6467	178	13	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	178	14	)	)	PUNCT
ejpam-6467	178	15	)	)	PUNCT
ejpam-6467	178	16	(	(	PUNCT
ejpam-6467	178	17	ω	ω	X
ejpam-6467	178	18	(	(	PUNCT
ejpam-6467	178	19	κ)−	κ)−	PROPN
ejpam-6467	178	20	ω	ω	PROPN
ejpam-6467	178	21	(	(	PUNCT
ejpam-6467	178	22	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	178	23	(	(	PUNCT
ejpam-6467	178	24	ϱ	ϱ	PROPN
ejpam-6467	178	25	)	)	PUNCT
ejpam-6467	178	26	f	f	PROPN
ejpam-6467	178	27	(	(	PUNCT
ejpam-6467	178	28	ϱ	ϱ	PROPN
ejpam-6467	178	29	)	)	PUNCT
ejpam-6467	178	30	dϱ	dϱ	NOUN
ejpam-6467	178	31	−	−	PROPN
ejpam-6467	178	32	[	[	PUNCT
ejpam-6467	178	33	(	(	PUNCT
ejpam-6467	178	34	ai	ai	VERB
ejpam-6467	178	35	ξ	ξ	PROPN
ejpam-6467	178	36	,	,	PUNCT
ejpam-6467	178	37	γ	γ	X
ejpam-6467	178	38	,	,	PUNCT
ejpam-6467	178	39	ωθ	ωθ	NUM
ejpam-6467	178	40	)	)	PUNCT
ejpam-6467	178	41	(	(	PUNCT
ejpam-6467	178	42	κ	κ	NOUN
ejpam-6467	178	43	)	)	PUNCT
ejpam-6467	178	44	]	]	PUNCT
ejpam-6467	179	1	∫	∫	PROPN
ejpam-6467	179	2	κ	κ	PROPN
ejpam-6467	179	3	a	a	DET
ejpam-6467	179	4	1	1	NUM
ejpam-6467	179	5	γβγ	γβγ	X
ejpam-6467	179	6	(	(	PUNCT
ejpam-6467	179	7	β	β	X
ejpam-6467	179	8	)	)	PUNCT
ejpam-6467	179	9	e	e	NOUN
ejpam-6467	179	10	γ−1	γ−1	PROPN
ejpam-6467	179	11	γ	γ	X
ejpam-6467	179	12	(	(	PUNCT
ejpam-6467	179	13	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	179	14	)	)	PUNCT
ejpam-6467	179	15	)	)	PUNCT
ejpam-6467	179	16	(	(	PUNCT
ejpam-6467	179	17	ω	ω	X
ejpam-6467	179	18	(	(	PUNCT
ejpam-6467	179	19	κ)−	κ)−	PROPN
ejpam-6467	179	20	ω	ω	PROPN
ejpam-6467	179	21	(	(	PUNCT
ejpam-6467	179	22	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	179	23	(	(	PUNCT
ejpam-6467	179	24	ϱ	ϱ	PROPN
ejpam-6467	179	25	)	)	PUNCT
ejpam-6467	179	26	f	f	PROPN
ejpam-6467	179	27	(	(	PUNCT
ejpam-6467	179	28	ϱ	ϱ	PROPN
ejpam-6467	179	29	)	)	PUNCT
ejpam-6467	179	30	g	g	NOUN
ejpam-6467	179	31	(	(	PUNCT
ejpam-6467	179	32	ϱ	ϱ	PROPN
ejpam-6467	179	33	)	)	PUNCT
ejpam-6467	179	34	dϱ	dϱ	NOUN
ejpam-6467	180	1	+	+	CCONJ
ejpam-6467	180	2	[	[	PUNCT
ejpam-6467	180	3	(	(	PUNCT
ejpam-6467	180	4	ai	ai	VERB
ejpam-6467	180	5	ξ	ξ	PROPN
ejpam-6467	180	6	,	,	PUNCT
ejpam-6467	180	7	γ	γ	X
ejpam-6467	180	8	,	,	PUNCT
ejpam-6467	180	9	ωfg	ωfg	NOUN
ejpam-6467	180	10	)	)	PUNCT
ejpam-6467	180	11	(	(	PUNCT
ejpam-6467	180	12	κ	κ	NOUN
ejpam-6467	180	13	)	)	PUNCT
ejpam-6467	180	14	]	]	PUNCT
ejpam-6467	181	1	∫	∫	PROPN
ejpam-6467	181	2	κ	κ	PROPN
ejpam-6467	181	3	a	a	DET
ejpam-6467	181	4	1	1	NUM
ejpam-6467	181	5	γβγ	γβγ	X
ejpam-6467	181	6	(	(	PUNCT
ejpam-6467	181	7	β	β	X
ejpam-6467	181	8	)	)	PUNCT
ejpam-6467	181	9	e	e	NOUN
ejpam-6467	181	10	γ−1	γ−1	PROPN
ejpam-6467	181	11	γ	γ	X
ejpam-6467	181	12	(	(	PUNCT
ejpam-6467	181	13	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	181	14	)	)	PUNCT
ejpam-6467	181	15	)	)	PUNCT
ejpam-6467	181	16	(	(	PUNCT
ejpam-6467	181	17	ω	ω	X
ejpam-6467	181	18	(	(	PUNCT
ejpam-6467	181	19	κ)−	κ)−	PROPN
ejpam-6467	181	20	ω	ω	PROPN
ejpam-6467	181	21	(	(	PUNCT
ejpam-6467	181	22	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	181	23	(	(	PUNCT
ejpam-6467	181	24	ϱ	ϱ	PROPN
ejpam-6467	181	25	)	)	PUNCT
ejpam-6467	181	26	θ	θ	PROPN
ejpam-6467	181	27	(	(	PUNCT
ejpam-6467	181	28	ϱ	ϱ	NOUN
ejpam-6467	181	29	)	)	PUNCT
ejpam-6467	181	30	dϱ	dϱ	NOUN
ejpam-6467	182	1	+	+	CCONJ
ejpam-6467	182	2	[	[	PUNCT
ejpam-6467	182	3	(	(	PUNCT
ejpam-6467	182	4	ai	ai	VERB
ejpam-6467	182	5	ξ	ξ	PROPN
ejpam-6467	182	6	,	,	PUNCT
ejpam-6467	182	7	γ	γ	X
ejpam-6467	182	8	,	,	PUNCT
ejpam-6467	182	9	ωf	ωf	X
ejpam-6467	182	10	)	)	PUNCT
ejpam-6467	182	11	(	(	PUNCT
ejpam-6467	182	12	κ	κ	NOUN
ejpam-6467	182	13	)	)	PUNCT
ejpam-6467	182	14	]	]	PUNCT
ejpam-6467	183	1	∫	∫	PROPN
ejpam-6467	183	2	κ	κ	PROPN
ejpam-6467	183	3	a	a	DET
ejpam-6467	183	4	1	1	NUM
ejpam-6467	183	5	γβγ	γβγ	X
ejpam-6467	183	6	(	(	PUNCT
ejpam-6467	183	7	β	β	X
ejpam-6467	183	8	)	)	PUNCT
ejpam-6467	183	9	e	e	NOUN
ejpam-6467	183	10	γ−1	γ−1	PROPN
ejpam-6467	183	11	γ	γ	X
ejpam-6467	183	12	(	(	PUNCT
ejpam-6467	183	13	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	183	14	)	)	PUNCT
ejpam-6467	183	15	)	)	PUNCT
ejpam-6467	183	16	(	(	PUNCT
ejpam-6467	183	17	ω	ω	X
ejpam-6467	183	18	(	(	PUNCT
ejpam-6467	183	19	κ)−	κ)−	PROPN
ejpam-6467	183	20	ω	ω	PROPN
ejpam-6467	183	21	(	(	PUNCT
ejpam-6467	183	22	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	183	23	(	(	PUNCT
ejpam-6467	183	24	ϱ	ϱ	PROPN
ejpam-6467	183	25	)	)	PUNCT
ejpam-6467	183	26	g	g	NOUN
ejpam-6467	183	27	(	(	PUNCT
ejpam-6467	183	28	ϱ	ϱ	PROPN
ejpam-6467	183	29	)	)	PUNCT
ejpam-6467	183	30	θ	θ	PROPN
ejpam-6467	183	31	(	(	PUNCT
ejpam-6467	183	32	ϱ	ϱ	PROPN
ejpam-6467	183	33	)	)	PUNCT
ejpam-6467	183	34	dϱ	dϱ	NOUN
ejpam-6467	183	35	−	−	PROPN
ejpam-6467	183	36	[	[	PUNCT
ejpam-6467	183	37	(	(	PUNCT
ejpam-6467	183	38	ai	ai	VERB
ejpam-6467	183	39	ξ	ξ	PROPN
ejpam-6467	183	40	,	,	PUNCT
ejpam-6467	183	41	γ	γ	X
ejpam-6467	183	42	,	,	PUNCT
ejpam-6467	183	43	ωg	ωg	X
ejpam-6467	183	44	)	)	PUNCT
ejpam-6467	183	45	(	(	PUNCT
ejpam-6467	183	46	κ	κ	NOUN
ejpam-6467	183	47	)	)	PUNCT
ejpam-6467	183	48	]	]	PUNCT
ejpam-6467	184	1	∫	∫	PROPN
ejpam-6467	184	2	κ	κ	PROPN
ejpam-6467	184	3	a	a	DET
ejpam-6467	184	4	1	1	NUM
ejpam-6467	184	5	γβγ	γβγ	X
ejpam-6467	184	6	(	(	PUNCT
ejpam-6467	184	7	β	β	X
ejpam-6467	184	8	)	)	PUNCT
ejpam-6467	184	9	e	e	NOUN
ejpam-6467	184	10	γ−1	γ−1	PROPN
ejpam-6467	184	11	γ	γ	X
ejpam-6467	184	12	(	(	PUNCT
ejpam-6467	184	13	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	184	14	)	)	PUNCT
ejpam-6467	184	15	)	)	PUNCT
ejpam-6467	184	16	(	(	PUNCT
ejpam-6467	184	17	ω	ω	X
ejpam-6467	184	18	(	(	PUNCT
ejpam-6467	184	19	κ)−	κ)−	PROPN
ejpam-6467	184	20	ω	ω	PROPN
ejpam-6467	184	21	(	(	PUNCT
ejpam-6467	184	22	ϱ))β−1ω′	ϱ))β−1ω′	PROPN
ejpam-6467	184	23	(	(	PUNCT
ejpam-6467	184	24	ϱ	ϱ	PROPN
ejpam-6467	184	25	)	)	PUNCT
ejpam-6467	184	26	f	f	PROPN
ejpam-6467	184	27	(	(	PUNCT
ejpam-6467	184	28	ϱ	ϱ	PROPN
ejpam-6467	184	29	)	)	PUNCT
ejpam-6467	184	30	θ	θ	PROPN
ejpam-6467	184	31	(	(	PUNCT
ejpam-6467	184	32	ϱ	ϱ	PROPN
ejpam-6467	184	33	)	)	PUNCT
ejpam-6467	184	34	dϱ.	dϱ.	NOUN
ejpam-6467	184	35	(	(	PUNCT
ejpam-6467	184	36	29	29	NUM
ejpam-6467	184	37	)	)	PUNCT
ejpam-6467	184	38	j.	j.	PROPN
ejpam-6467	184	39	nasir	nasir	PROPN
ejpam-6467	184	40	,	,	PUNCT
ejpam-6467	184	41	h.	h.	PROPN
ejpam-6467	184	42	qawaqneh	qawaqneh	PROPN
ejpam-6467	184	43	,	,	PUNCT
ejpam-6467	184	44	h.	h.	PROPN
ejpam-6467	184	45	aydi	aydi	VERB
ejpam-6467	184	46	/	/	SYM
ejpam-6467	184	47	eur	eur	NOUN
ejpam-6467	184	48	.	.	PUNCT
ejpam-6467	185	1	j.	j.	PROPN
ejpam-6467	185	2	pure	pure	PROPN
ejpam-6467	185	3	appl	appl	PROPN
ejpam-6467	185	4	.	.	PROPN
ejpam-6467	185	5	math	math	PROPN
ejpam-6467	185	6	,	,	PUNCT
ejpam-6467	185	7	18	18	NUM
ejpam-6467	185	8	(	(	PUNCT
ejpam-6467	185	9	3	3	NUM
ejpam-6467	185	10	)	)	PUNCT
ejpam-6467	185	11	(	(	PUNCT
ejpam-6467	185	12	2025	2025	NUM
ejpam-6467	185	13	)	)	PUNCT
ejpam-6467	185	14	,	,	PUNCT
ejpam-6467	185	15	6467	6467	NUM
ejpam-6467	185	16	10	10	NUM
ejpam-6467	185	17	of	of	ADP
ejpam-6467	185	18	16	16	NUM
ejpam-6467	185	19	that	that	PRON
ejpam-6467	185	20	is	be	AUX
ejpam-6467	185	21	,	,	PUNCT
ejpam-6467	185	22	[	[	PUNCT
ejpam-6467	185	23	(	(	PUNCT
ejpam-6467	185	24	ai	ai	VERB
ejpam-6467	185	25	ξ	ξ	PROPN
ejpam-6467	185	26	,	,	PUNCT
ejpam-6467	185	27	γ	γ	NOUN
ejpam-6467	185	28	,	,	PUNCT
ejpam-6467	185	29	ωfgθ	ωfgθ	NOUN
ejpam-6467	185	30	)	)	PUNCT
ejpam-6467	185	31	(	(	PUNCT
ejpam-6467	185	32	κ	κ	NOUN
ejpam-6467	185	33	)	)	PUNCT
ejpam-6467	185	34	]	]	PUNCT
ejpam-6467	186	1	[	[	X
ejpam-6467	186	2	ai	ai	ADP
ejpam-6467	186	3	β	β	X
ejpam-6467	186	4	,	,	PUNCT
ejpam-6467	186	5	γ	γ	X
ejpam-6467	186	6	,	,	PUNCT
ejpam-6467	186	7	ω(1	ω(1	PROPN
ejpam-6467	186	8	)	)	PUNCT
ejpam-6467	186	9	]	]	PUNCT
ejpam-6467	187	1	−	−	PROPN
ejpam-6467	188	1	[	[	X
ejpam-6467	188	2	ai	ai	VERB
ejpam-6467	188	3	ξ	ξ	PROPN
ejpam-6467	188	4	,	,	PUNCT
ejpam-6467	188	5	γ	γ	X
ejpam-6467	188	6	,	,	PUNCT
ejpam-6467	188	7	ω(1	ω(1	PROPN
ejpam-6467	188	8	)	)	PUNCT
ejpam-6467	188	9	]	]	X
ejpam-6467	188	10	[	[	PUNCT
ejpam-6467	188	11	(	(	PUNCT
ejpam-6467	188	12	ai	ai	VERB
ejpam-6467	188	13	β	β	X
ejpam-6467	188	14	,	,	PUNCT
ejpam-6467	188	15	γ	γ	NOUN
ejpam-6467	188	16	,	,	PUNCT
ejpam-6467	188	17	ωfgθ	ωfgθ	NOUN
ejpam-6467	188	18	)	)	PUNCT
ejpam-6467	188	19	(	(	PUNCT
ejpam-6467	188	20	κ	κ	NOUN
ejpam-6467	188	21	)	)	PUNCT
ejpam-6467	188	22	]	]	PUNCT
ejpam-6467	188	23	≥	≥	X
ejpam-6467	188	24	[	[	PUNCT
ejpam-6467	188	25	(	(	PUNCT
ejpam-6467	188	26	ai	ai	VERB
ejpam-6467	188	27	ξ	ξ	PROPN
ejpam-6467	188	28	,	,	PUNCT
ejpam-6467	188	29	γ	γ	X
ejpam-6467	188	30	,	,	PUNCT
ejpam-6467	188	31	ωfθ	ωfθ	PROPN
ejpam-6467	188	32	)	)	PUNCT
ejpam-6467	188	33	(	(	PUNCT
ejpam-6467	188	34	κ	κ	NOUN
ejpam-6467	188	35	)	)	PUNCT
ejpam-6467	188	36	]	]	PUNCT
ejpam-6467	188	37	.	.	PUNCT
ejpam-6467	189	1	[	[	PUNCT
ejpam-6467	189	2	(	(	PUNCT
ejpam-6467	189	3	ai	ai	VERB
ejpam-6467	189	4	β	β	X
ejpam-6467	189	5	,	,	PUNCT
ejpam-6467	189	6	γ	γ	X
ejpam-6467	189	7	,	,	PUNCT
ejpam-6467	189	8	ωg	ωg	X
ejpam-6467	189	9	)	)	PUNCT
ejpam-6467	189	10	(	(	PUNCT
ejpam-6467	189	11	κ	κ	NOUN
ejpam-6467	189	12	)	)	PUNCT
ejpam-6467	189	13	]	]	PUNCT
ejpam-6467	190	1	+	+	CCONJ
ejpam-6467	190	2	[	[	PUNCT
ejpam-6467	190	3	(	(	PUNCT
ejpam-6467	190	4	ai	ai	VERB
ejpam-6467	190	5	ξ	ξ	PROPN
ejpam-6467	190	6	,	,	PUNCT
ejpam-6467	190	7	γ	γ	X
ejpam-6467	190	8	,	,	PUNCT
ejpam-6467	190	9	ωgθ	ωgθ	NOUN
ejpam-6467	190	10	)	)	PUNCT
ejpam-6467	190	11	(	(	PUNCT
ejpam-6467	190	12	κ	κ	NOUN
ejpam-6467	190	13	)	)	PUNCT
ejpam-6467	190	14	]	]	PUNCT
ejpam-6467	190	15	.	.	PUNCT
ejpam-6467	191	1	[	[	PUNCT
ejpam-6467	191	2	(	(	PUNCT
ejpam-6467	191	3	ai	ai	VERB
ejpam-6467	191	4	β	β	X
ejpam-6467	191	5	,	,	PUNCT
ejpam-6467	191	6	γ	γ	X
ejpam-6467	191	7	,	,	PUNCT
ejpam-6467	191	8	ωf	ωf	X
ejpam-6467	191	9	)	)	PUNCT
ejpam-6467	191	10	(	(	PUNCT
ejpam-6467	191	11	κ	κ	NOUN
ejpam-6467	191	12	)	)	PUNCT
ejpam-6467	191	13	]	]	PUNCT
ejpam-6467	192	1	−	−	PROPN
ejpam-6467	192	2	[	[	PUNCT
ejpam-6467	192	3	(	(	PUNCT
ejpam-6467	192	4	ai	ai	VERB
ejpam-6467	192	5	ξ	ξ	PROPN
ejpam-6467	192	6	,	,	PUNCT
ejpam-6467	192	7	γ	γ	X
ejpam-6467	192	8	,	,	PUNCT
ejpam-6467	192	9	ωθ	ωθ	NUM
ejpam-6467	192	10	)	)	PUNCT
ejpam-6467	192	11	(	(	PUNCT
ejpam-6467	192	12	κ	κ	NOUN
ejpam-6467	192	13	)	)	PUNCT
ejpam-6467	192	14	]	]	PUNCT
ejpam-6467	192	15	.	.	PUNCT
ejpam-6467	193	1	[	[	PUNCT
ejpam-6467	193	2	(	(	PUNCT
ejpam-6467	193	3	ai	ai	VERB
ejpam-6467	193	4	β	β	X
ejpam-6467	193	5	,	,	PUNCT
ejpam-6467	193	6	γ	γ	X
ejpam-6467	193	7	,	,	PUNCT
ejpam-6467	193	8	ωfg	ωfg	NOUN
ejpam-6467	193	9	)	)	PUNCT
ejpam-6467	193	10	(	(	PUNCT
ejpam-6467	193	11	κ	κ	NOUN
ejpam-6467	193	12	)	)	PUNCT
ejpam-6467	193	13	]	]	PUNCT
ejpam-6467	194	1	+	+	CCONJ
ejpam-6467	194	2	[	[	PUNCT
ejpam-6467	194	3	(	(	PUNCT
ejpam-6467	194	4	ai	ai	VERB
ejpam-6467	194	5	ξ	ξ	PROPN
ejpam-6467	194	6	,	,	PUNCT
ejpam-6467	194	7	γ	γ	X
ejpam-6467	194	8	,	,	PUNCT
ejpam-6467	194	9	ωfg	ωfg	NOUN
ejpam-6467	194	10	)	)	PUNCT
ejpam-6467	194	11	(	(	PUNCT
ejpam-6467	194	12	κ	κ	NOUN
ejpam-6467	194	13	)	)	PUNCT
ejpam-6467	194	14	]	]	PUNCT
ejpam-6467	194	15	.	.	PUNCT
ejpam-6467	195	1	[	[	PUNCT
ejpam-6467	195	2	(	(	PUNCT
ejpam-6467	195	3	ai	ai	VERB
ejpam-6467	195	4	β	β	X
ejpam-6467	195	5	,	,	PUNCT
ejpam-6467	195	6	γ	γ	PROPN
ejpam-6467	195	7	,	,	PUNCT
ejpam-6467	195	8	ωθ	ωθ	NUM
ejpam-6467	195	9	)	)	PUNCT
ejpam-6467	195	10	(	(	PUNCT
ejpam-6467	195	11	κ	κ	NOUN
ejpam-6467	195	12	)	)	PUNCT
ejpam-6467	195	13	]	]	PUNCT
ejpam-6467	196	1	+	+	CCONJ
ejpam-6467	196	2	[	[	PUNCT
ejpam-6467	196	3	(	(	PUNCT
ejpam-6467	196	4	ai	ai	VERB
ejpam-6467	196	5	ξ	ξ	PROPN
ejpam-6467	196	6	,	,	PUNCT
ejpam-6467	196	7	γ	γ	X
ejpam-6467	196	8	,	,	PUNCT
ejpam-6467	196	9	ωf	ωf	X
ejpam-6467	196	10	)	)	PUNCT
ejpam-6467	196	11	(	(	PUNCT
ejpam-6467	196	12	κ	κ	NOUN
ejpam-6467	196	13	)	)	PUNCT
ejpam-6467	196	14	]	]	PUNCT
ejpam-6467	196	15	.	.	PUNCT
ejpam-6467	197	1	[	[	PUNCT
ejpam-6467	197	2	(	(	PUNCT
ejpam-6467	197	3	ai	ai	VERB
ejpam-6467	197	4	β	β	X
ejpam-6467	197	5	,	,	PUNCT
ejpam-6467	197	6	γ	γ	X
ejpam-6467	197	7	,	,	PUNCT
ejpam-6467	197	8	ωgθ	ωgθ	NOUN
ejpam-6467	197	9	)	)	PUNCT
ejpam-6467	197	10	(	(	PUNCT
ejpam-6467	197	11	κ)]−	κ)]−	PROPN
ejpam-6467	197	12	[	[	PUNCT
ejpam-6467	197	13	(	(	PUNCT
ejpam-6467	197	14	ai	ai	VERB
ejpam-6467	197	15	ξ	ξ	PROPN
ejpam-6467	197	16	,	,	PUNCT
ejpam-6467	197	17	γ	γ	X
ejpam-6467	197	18	,	,	PUNCT
ejpam-6467	197	19	ωg	ωg	X
ejpam-6467	197	20	)	)	PUNCT
ejpam-6467	197	21	(	(	PUNCT
ejpam-6467	197	22	κ	κ	NOUN
ejpam-6467	197	23	)	)	PUNCT
ejpam-6467	197	24	]	]	PUNCT
ejpam-6467	197	25	.	.	PUNCT
ejpam-6467	198	1	[	[	PUNCT
ejpam-6467	198	2	(	(	PUNCT
ejpam-6467	198	3	ai	ai	VERB
ejpam-6467	198	4	β	β	X
ejpam-6467	198	5	,	,	PUNCT
ejpam-6467	198	6	γ	γ	X
ejpam-6467	198	7	,	,	PUNCT
ejpam-6467	198	8	ωfθ	ωfθ	PROPN
ejpam-6467	198	9	)	)	PUNCT
ejpam-6467	198	10	(	(	PUNCT
ejpam-6467	198	11	κ	κ	NOUN
ejpam-6467	198	12	)	)	PUNCT
ejpam-6467	198	13	]	]	PUNCT
ejpam-6467	198	14	.	.	PUNCT
ejpam-6467	199	1	(	(	PUNCT
ejpam-6467	199	2	30	30	NUM
ejpam-6467	199	3	)	)	PUNCT
ejpam-6467	199	4	this	this	PRON
ejpam-6467	199	5	completes	complete	VERB
ejpam-6467	199	6	the	the	DET
ejpam-6467	199	7	proof	proof	NOUN
ejpam-6467	199	8	.	.	PUNCT
ejpam-6467	200	1	3	3	X
ejpam-6467	200	2	.	.	X
ejpam-6467	200	3	inequalities	inequality	NOUN
ejpam-6467	200	4	involving	involve	VERB
ejpam-6467	200	5	ω−proportional	ω−proportional	NOUN
ejpam-6467	200	6	fractional	fractional	ADJ
ejpam-6467	200	7	integrals	integral	NOUN
ejpam-6467	200	8	of	of	ADP
ejpam-6467	200	9	a	a	DET
ejpam-6467	200	10	function	function	NOUN
ejpam-6467	200	11	with	with	ADP
ejpam-6467	200	12	respect	respect	NOUN
ejpam-6467	200	13	to	to	ADP
ejpam-6467	200	14	another	another	DET
ejpam-6467	200	15	function	function	NOUN
ejpam-6467	200	16	by	by	ADP
ejpam-6467	200	17	bounded	bounded	ADJ
ejpam-6467	200	18	functions	function	NOUN
ejpam-6467	200	19	in	in	ADP
ejpam-6467	200	20	this	this	DET
ejpam-6467	200	21	section	section	NOUN
ejpam-6467	200	22	,	,	PUNCT
ejpam-6467	200	23	we	we	PRON
ejpam-6467	200	24	prove	prove	VERB
ejpam-6467	200	25	some	some	DET
ejpam-6467	200	26	ω−proportional	ω−proportional	NOUN
ejpam-6467	200	27	fractional	fractional	ADJ
ejpam-6467	200	28	integrals	integral	NOUN
ejpam-6467	200	29	of	of	ADP
ejpam-6467	200	30	a	a	DET
ejpam-6467	200	31	function	function	NOUN
ejpam-6467	200	32	with	with	ADP
ejpam-6467	200	33	respect	respect	NOUN
ejpam-6467	200	34	to	to	ADP
ejpam-6467	200	35	another	another	DET
ejpam-6467	200	36	function	function	NOUN
ejpam-6467	200	37	by	by	ADP
ejpam-6467	200	38	bounded	bounded	ADJ
ejpam-6467	200	39	functions	function	NOUN
ejpam-6467	200	40	.	.	PUNCT
ejpam-6467	201	1	theorem	theorem	NOUN
ejpam-6467	201	2	4	4	NUM
ejpam-6467	201	3	.	.	PUNCT
ejpam-6467	201	4	suppose	suppose	VERB
ejpam-6467	201	5	that	that	SCONJ
ejpam-6467	201	6	f	f	PROPN
ejpam-6467	201	7	is	be	AUX
ejpam-6467	201	8	an	an	DET
ejpam-6467	201	9	integrable	integrable	ADJ
ejpam-6467	201	10	function	function	NOUN
ejpam-6467	201	11	on	on	ADP
ejpam-6467	201	12	[	[	X
ejpam-6467	201	13	a	a	X
ejpam-6467	201	14	,	,	PUNCT
ejpam-6467	201	15	b	b	NOUN
ejpam-6467	201	16	]	]	X
ejpam-6467	201	17	,	,	PUNCT
ejpam-6467	201	18	then	then	ADV
ejpam-6467	201	19	for	for	ADP
ejpam-6467	201	20	κ	κ	PROPN
ejpam-6467	201	21	>	>	X
ejpam-6467	201	22	a	a	PROPN
ejpam-6467	201	23	,	,	PUNCT
ejpam-6467	201	24	ξ	ξ	PROPN
ejpam-6467	201	25	∈	∈	PROPN
ejpam-6467	201	26	c	c	X
ejpam-6467	201	27	,	,	PUNCT
ejpam-6467	201	28	ℜ(ξ	ℜ(ξ	X
ejpam-6467	201	29	)	)	PUNCT
ejpam-6467	201	30	>	>	X
ejpam-6467	201	31	0	0	NUM
ejpam-6467	201	32	,	,	PUNCT
ejpam-6467	201	33	γ	γ	X
ejpam-6467	201	34	∈	∈	PROPN
ejpam-6467	201	35	(	(	PUNCT
ejpam-6467	201	36	0	0	NUM
ejpam-6467	201	37	,	,	PUNCT
ejpam-6467	201	38	1],φ1,φ2	1],φ1,φ2	NUM
ejpam-6467	201	39	∈	∈	NOUN
ejpam-6467	201	40	[	[	X
ejpam-6467	201	41	a	a	X
ejpam-6467	201	42	,	,	PUNCT
ejpam-6467	201	43	b	b	NOUN
ejpam-6467	201	44	]	]	PUNCT
ejpam-6467	201	45	and	and	CCONJ
ejpam-6467	201	46	φ1	φ1	PROPN
ejpam-6467	201	47	≤	≤	NUM
ejpam-6467	201	48	f	f	PROPN
ejpam-6467	201	49	≤	≤	PROPN
ejpam-6467	201	50	φ2	φ2	PROPN
ejpam-6467	201	51	,	,	PUNCT
ejpam-6467	201	52	the	the	DET
ejpam-6467	201	53	following	follow	VERB
ejpam-6467	201	54	ω−proportional	ω−proportional	NOUN
ejpam-6467	201	55	holds	hold	NOUN
ejpam-6467	201	56	:(	:(	SYM
ejpam-6467	201	57	ai	ai	PROPN
ejpam-6467	201	58	ξ	ξ	PROPN
ejpam-6467	201	59	,	,	PUNCT
ejpam-6467	201	60	γ	γ	X
ejpam-6467	201	61	,	,	PUNCT
ejpam-6467	201	62	ωφ2	ωφ2	NUM
ejpam-6467	201	63	)	)	PUNCT
ejpam-6467	201	64	(	(	PUNCT
ejpam-6467	201	65	κ	κ	NOUN
ejpam-6467	201	66	)	)	PUNCT
ejpam-6467	201	67	]	]	PUNCT
ejpam-6467	202	1	[	[	PUNCT
ejpam-6467	202	2	(	(	PUNCT
ejpam-6467	202	3	ai	ai	VERB
ejpam-6467	202	4	ξ	ξ	PROPN
ejpam-6467	202	5	,	,	PUNCT
ejpam-6467	202	6	γ	γ	X
ejpam-6467	202	7	,	,	PUNCT
ejpam-6467	202	8	hf	hf	NOUN
ejpam-6467	202	9	)	)	PUNCT
ejpam-6467	202	10	(	(	PUNCT
ejpam-6467	202	11	κ	κ	NOUN
ejpam-6467	202	12	)	)	PUNCT
ejpam-6467	202	13	]	]	PUNCT
ejpam-6467	203	1	+	+	CCONJ
ejpam-6467	203	2	[	[	PUNCT
ejpam-6467	203	3	(	(	PUNCT
ejpam-6467	203	4	ai	ai	VERB
ejpam-6467	203	5	ξ	ξ	PROPN
ejpam-6467	203	6	,	,	PUNCT
ejpam-6467	203	7	γ	γ	X
ejpam-6467	203	8	,	,	PUNCT
ejpam-6467	203	9	hf	hf	NOUN
ejpam-6467	203	10	)	)	PUNCT
ejpam-6467	203	11	(	(	PUNCT
ejpam-6467	203	12	κ	κ	NOUN
ejpam-6467	203	13	)	)	PUNCT
ejpam-6467	203	14	]	]	PUNCT
ejpam-6467	204	1	[	[	PUNCT
ejpam-6467	204	2	(	(	PUNCT
ejpam-6467	204	3	ai	ai	VERB
ejpam-6467	204	4	ξ	ξ	PROPN
ejpam-6467	204	5	,	,	PUNCT
ejpam-6467	204	6	γ	γ	X
ejpam-6467	204	7	,	,	PUNCT
ejpam-6467	204	8	hφ1	hφ1	NOUN
ejpam-6467	204	9	)	)	PUNCT
ejpam-6467	204	10	(	(	PUNCT
ejpam-6467	204	11	κ	κ	NOUN
ejpam-6467	204	12	)	)	PUNCT
ejpam-6467	204	13	]	]	PUNCT
ejpam-6467	204	14	≥	≥	X
ejpam-6467	204	15	[	[	PUNCT
ejpam-6467	204	16	(	(	PUNCT
ejpam-6467	204	17	ai	ai	VERB
ejpam-6467	204	18	ξ	ξ	PROPN
ejpam-6467	204	19	,	,	PUNCT
ejpam-6467	204	20	γ	γ	X
ejpam-6467	204	21	,	,	PUNCT
ejpam-6467	204	22	hφ2	hφ2	NOUN
ejpam-6467	204	23	)	)	PUNCT
ejpam-6467	204	24	(	(	PUNCT
ejpam-6467	204	25	κ	κ	NOUN
ejpam-6467	204	26	)	)	PUNCT
ejpam-6467	204	27	]	]	X
ejpam-6467	204	28	[	[	PUNCT
ejpam-6467	204	29	(	(	PUNCT
ejpam-6467	204	30	ai	ai	VERB
ejpam-6467	204	31	ξ	ξ	PROPN
ejpam-6467	204	32	,	,	PUNCT
ejpam-6467	204	33	γ	γ	X
ejpam-6467	204	34	,	,	PUNCT
ejpam-6467	204	35	hφ1	hφ1	NOUN
ejpam-6467	204	36	)	)	PUNCT
ejpam-6467	204	37	(	(	PUNCT
ejpam-6467	204	38	κ	κ	NOUN
ejpam-6467	204	39	)	)	PUNCT
ejpam-6467	204	40	]	]	PUNCT
ejpam-6467	205	1	+	+	CCONJ
ejpam-6467	205	2	[	[	PUNCT
ejpam-6467	205	3	(	(	PUNCT
ejpam-6467	205	4	ai	ai	VERB
ejpam-6467	205	5	ξ	ξ	PROPN
ejpam-6467	205	6	,	,	PUNCT
ejpam-6467	205	7	γ	γ	X
ejpam-6467	205	8	,	,	PUNCT
ejpam-6467	205	9	hf	hf	NOUN
ejpam-6467	205	10	)	)	PUNCT
ejpam-6467	205	11	(	(	PUNCT
ejpam-6467	205	12	κ)]2	κ)]2	X
ejpam-6467	205	13	.	.	PUNCT
ejpam-6467	206	1	(	(	PUNCT
ejpam-6467	206	2	31	31	NUM
ejpam-6467	206	3	)	)	PUNCT
ejpam-6467	206	4	proof	proof	NOUN
ejpam-6467	206	5	.	.	PUNCT
ejpam-6467	207	1	if	if	SCONJ
ejpam-6467	207	2	τ	τ	PROPN
ejpam-6467	207	3	,	,	PUNCT
ejpam-6467	207	4	ϱ	ϱ	PROPN
ejpam-6467	207	5	∈	∈	PROPN
ejpam-6467	207	6	(	(	PUNCT
ejpam-6467	207	7	a	a	DET
ejpam-6467	207	8	,	,	PUNCT
ejpam-6467	207	9	κ	κ	NOUN
ejpam-6467	207	10	)	)	PUNCT
ejpam-6467	207	11	,	,	PUNCT
ejpam-6467	207	12	then	then	ADV
ejpam-6467	207	13	we	we	PRON
ejpam-6467	207	14	have	have	VERB
ejpam-6467	207	15	[	[	X
ejpam-6467	207	16	φ2	φ2	PROPN
ejpam-6467	207	17	(	(	PUNCT
ejpam-6467	207	18	τ)−	τ)−	PROPN
ejpam-6467	207	19	f	f	PROPN
ejpam-6467	207	20	(	(	PUNCT
ejpam-6467	207	21	τ)][f	τ)][f	PROPN
ejpam-6467	207	22	(	(	PUNCT
ejpam-6467	207	23	ϱ)−	ϱ)−	PROPN
ejpam-6467	207	24	φ1	φ1	PROPN
ejpam-6467	207	25	(	(	PUNCT
ejpam-6467	207	26	ϱ	ϱ	PROPN
ejpam-6467	207	27	)	)	PUNCT
ejpam-6467	207	28	]	]	PUNCT
ejpam-6467	207	29	≥	≥	NOUN
ejpam-6467	207	30	0	0	NUM
ejpam-6467	207	31	.	.	PUNCT
ejpam-6467	208	1	(	(	PUNCT
ejpam-6467	208	2	32	32	NUM
ejpam-6467	208	3	)	)	PUNCT
ejpam-6467	208	4	from	from	ADP
ejpam-6467	208	5	(	(	PUNCT
ejpam-6467	208	6	32	32	NUM
ejpam-6467	208	7	)	)	PUNCT
ejpam-6467	208	8	,	,	PUNCT
ejpam-6467	208	9	it	it	PRON
ejpam-6467	208	10	can	can	AUX
ejpam-6467	208	11	be	be	AUX
ejpam-6467	208	12	written	write	VERB
ejpam-6467	208	13	as	as	ADP
ejpam-6467	208	14	φ2	φ2	PROPN
ejpam-6467	208	15	(	(	PUNCT
ejpam-6467	208	16	τ	τ	PROPN
ejpam-6467	208	17	)	)	PUNCT
ejpam-6467	208	18	f	f	PROPN
ejpam-6467	208	19	(	(	PUNCT
ejpam-6467	208	20	ϱ	ϱ	PROPN
ejpam-6467	208	21	)	)	PUNCT
ejpam-6467	208	22	+	+	NUM
ejpam-6467	208	23	f	f	X
ejpam-6467	208	24	(	(	PUNCT
ejpam-6467	208	25	τ	τ	PROPN
ejpam-6467	208	26	)	)	PUNCT
ejpam-6467	208	27	φ1	φ1	NOUN
ejpam-6467	208	28	(	(	PUNCT
ejpam-6467	208	29	ϱ	ϱ	PROPN
ejpam-6467	208	30	)	)	PUNCT
ejpam-6467	208	31	≥	≥	NOUN
ejpam-6467	208	32	φ2	φ2	PROPN
ejpam-6467	208	33	(	(	PUNCT
ejpam-6467	208	34	τ	τ	NOUN
ejpam-6467	208	35	)	)	PUNCT
ejpam-6467	208	36	φ1	φ1	NOUN
ejpam-6467	208	37	(	(	PUNCT
ejpam-6467	208	38	ϱ	ϱ	NOUN
ejpam-6467	208	39	)	)	PUNCT
ejpam-6467	208	40	+	+	NUM
ejpam-6467	208	41	f	f	X
ejpam-6467	208	42	(	(	PUNCT
ejpam-6467	208	43	ϱ	ϱ	PROPN
ejpam-6467	208	44	)	)	PUNCT
ejpam-6467	208	45	f	f	PROPN
ejpam-6467	208	46	(	(	PUNCT
ejpam-6467	208	47	τ	τ	PROPN
ejpam-6467	208	48	)	)	PUNCT
ejpam-6467	208	49	.	.	PUNCT
ejpam-6467	209	1	(	(	PUNCT
ejpam-6467	209	2	33	33	NUM
ejpam-6467	209	3	)	)	PUNCT
ejpam-6467	209	4	multiplying	multiply	VERB
ejpam-6467	209	5	both	both	DET
ejpam-6467	209	6	sides	side	NOUN
ejpam-6467	209	7	of	of	ADP
ejpam-6467	209	8	(	(	PUNCT
ejpam-6467	209	9	16	16	NUM
ejpam-6467	209	10	)	)	PUNCT
ejpam-6467	209	11	with	with	ADP
ejpam-6467	209	12	1	1	NUM
ejpam-6467	209	13	γξγ(ξ	γξγ(ξ	NOUN
ejpam-6467	209	14	)	)	PUNCT
ejpam-6467	210	1	e	e	PROPN
ejpam-6467	210	2	γ−1	γ−1	PROPN
ejpam-6467	210	3	γ	γ	X
ejpam-6467	210	4	(	(	PUNCT
ejpam-6467	210	5	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	210	6	)	)	PUNCT
ejpam-6467	210	7	)	)	PUNCT
ejpam-6467	210	8	(	(	PUNCT
ejpam-6467	210	9	ω	ω	X
ejpam-6467	210	10	(	(	PUNCT
ejpam-6467	210	11	κ)−	κ)−	PROPN
ejpam-6467	210	12	ω	ω	PROPN
ejpam-6467	210	13	(	(	PUNCT
ejpam-6467	210	14	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	210	15	(	(	PUNCT
ejpam-6467	210	16	τ	τ	PROPN
ejpam-6467	210	17	)	)	PUNCT
ejpam-6467	210	18	,	,	PUNCT
ejpam-6467	210	19	τ	τ	PROPN
ejpam-6467	210	20	∈	∈	PROPN
ejpam-6467	210	21	(	(	PUNCT
ejpam-6467	210	22	a	a	PRON
ejpam-6467	210	23	,	,	PUNCT
ejpam-6467	210	24	κ	κ	NOUN
ejpam-6467	210	25	)	)	PUNCT
ejpam-6467	210	26	with	with	ADP
ejpam-6467	210	27	respect	respect	NOUN
ejpam-6467	210	28	to	to	ADP
ejpam-6467	210	29	τ	τ	PROPN
ejpam-6467	210	30	,	,	PUNCT
ejpam-6467	210	31	we	we	PRON
ejpam-6467	210	32	obtain	obtain	VERB
ejpam-6467	210	33	φ2	φ2	PROPN
ejpam-6467	210	34	(	(	PUNCT
ejpam-6467	210	35	τ	τ	PROPN
ejpam-6467	210	36	)	)	PUNCT
ejpam-6467	210	37	f	f	PROPN
ejpam-6467	210	38	(	(	PUNCT
ejpam-6467	210	39	ϱ	ϱ	PROPN
ejpam-6467	210	40	)	)	PUNCT
ejpam-6467	210	41	1	1	NUM
ejpam-6467	210	42	γξγ	γξγ	NOUN
ejpam-6467	210	43	(	(	PUNCT
ejpam-6467	210	44	ξ	ξ	NOUN
ejpam-6467	210	45	)	)	PUNCT
ejpam-6467	210	46	e	e	PROPN
ejpam-6467	210	47	γ−1	γ−1	PROPN
ejpam-6467	210	48	γ	γ	X
ejpam-6467	210	49	(	(	PUNCT
ejpam-6467	210	50	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	210	51	)	)	PUNCT
ejpam-6467	210	52	)	)	PUNCT
ejpam-6467	211	1	(	(	PUNCT
ejpam-6467	211	2	ω	ω	X
ejpam-6467	211	3	(	(	PUNCT
ejpam-6467	211	4	κ)−	κ)−	PROPN
ejpam-6467	211	5	ω	ω	PROPN
ejpam-6467	211	6	(	(	PUNCT
ejpam-6467	211	7	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	211	8	(	(	PUNCT
ejpam-6467	211	9	τ)+	τ)+	NUM
ejpam-6467	211	10	f	f	X
ejpam-6467	211	11	(	(	PUNCT
ejpam-6467	211	12	τ	τ	PROPN
ejpam-6467	211	13	)	)	PUNCT
ejpam-6467	211	14	φ1	φ1	NOUN
ejpam-6467	211	15	(	(	PUNCT
ejpam-6467	211	16	ϱ	ϱ	NOUN
ejpam-6467	211	17	)	)	PUNCT
ejpam-6467	211	18	1	1	NUM
ejpam-6467	211	19	γξγ	γξγ	NOUN
ejpam-6467	211	20	(	(	PUNCT
ejpam-6467	211	21	ξ	ξ	NOUN
ejpam-6467	211	22	)	)	PUNCT
ejpam-6467	211	23	e	e	PROPN
ejpam-6467	211	24	γ−1	γ−1	PROPN
ejpam-6467	211	25	γ	γ	X
ejpam-6467	211	26	(	(	PUNCT
ejpam-6467	211	27	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	211	28	)	)	PUNCT
ejpam-6467	211	29	)	)	PUNCT
ejpam-6467	211	30	(	(	PUNCT
ejpam-6467	211	31	ω	ω	X
ejpam-6467	211	32	(	(	PUNCT
ejpam-6467	211	33	κ)−	κ)−	PROPN
ejpam-6467	211	34	ω	ω	PROPN
ejpam-6467	211	35	(	(	PUNCT
ejpam-6467	211	36	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	211	37	(	(	PUNCT
ejpam-6467	211	38	τ	τ	PROPN
ejpam-6467	211	39	)	)	PUNCT
ejpam-6467	211	40	≥	≥	NOUN
ejpam-6467	211	41	φ2	φ2	PROPN
ejpam-6467	211	42	(	(	PUNCT
ejpam-6467	211	43	τ	τ	NOUN
ejpam-6467	211	44	)	)	PUNCT
ejpam-6467	211	45	φ1	φ1	NOUN
ejpam-6467	211	46	(	(	PUNCT
ejpam-6467	211	47	ϱ	ϱ	NOUN
ejpam-6467	211	48	)	)	PUNCT
ejpam-6467	211	49	)	)	PUNCT
ejpam-6467	211	50	1	1	NUM
ejpam-6467	211	51	γξγ	γξγ	NOUN
ejpam-6467	211	52	(	(	PUNCT
ejpam-6467	211	53	ξ	ξ	NOUN
ejpam-6467	211	54	)	)	PUNCT
ejpam-6467	211	55	e	e	PROPN
ejpam-6467	211	56	γ−1	γ−1	PROPN
ejpam-6467	211	57	γ	γ	X
ejpam-6467	211	58	(	(	PUNCT
ejpam-6467	211	59	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	211	60	)	)	PUNCT
ejpam-6467	211	61	)	)	PUNCT
ejpam-6467	211	62	(	(	PUNCT
ejpam-6467	211	63	ω	ω	X
ejpam-6467	211	64	(	(	PUNCT
ejpam-6467	211	65	κ)−	κ)−	PROPN
ejpam-6467	211	66	ω	ω	PROPN
ejpam-6467	211	67	(	(	PUNCT
ejpam-6467	211	68	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	211	69	(	(	PUNCT
ejpam-6467	211	70	τ	τ	X
ejpam-6467	211	71	)	)	PUNCT
ejpam-6467	211	72	j.	j.	PROPN
ejpam-6467	211	73	nasir	nasir	PROPN
ejpam-6467	211	74	,	,	PUNCT
ejpam-6467	211	75	h.	h.	PROPN
ejpam-6467	211	76	qawaqneh	qawaqneh	PROPN
ejpam-6467	211	77	,	,	PUNCT
ejpam-6467	211	78	h.	h.	PROPN
ejpam-6467	211	79	aydi	aydi	VERB
ejpam-6467	211	80	/	/	SYM
ejpam-6467	211	81	eur	eur	NOUN
ejpam-6467	211	82	.	.	PUNCT
ejpam-6467	212	1	j.	j.	PROPN
ejpam-6467	212	2	pure	pure	PROPN
ejpam-6467	212	3	appl	appl	PROPN
ejpam-6467	212	4	.	.	PROPN
ejpam-6467	212	5	math	math	PROPN
ejpam-6467	212	6	,	,	PUNCT
ejpam-6467	212	7	18	18	NUM
ejpam-6467	212	8	(	(	PUNCT
ejpam-6467	212	9	3	3	NUM
ejpam-6467	212	10	)	)	PUNCT
ejpam-6467	212	11	(	(	PUNCT
ejpam-6467	212	12	2025	2025	NUM
ejpam-6467	212	13	)	)	PUNCT
ejpam-6467	212	14	,	,	PUNCT
ejpam-6467	212	15	6467	6467	NUM
ejpam-6467	212	16	11	11	NUM
ejpam-6467	212	17	of	of	ADP
ejpam-6467	212	18	16	16	NUM
ejpam-6467	212	19	+	+	NUM
ejpam-6467	212	20	f	f	X
ejpam-6467	212	21	(	(	PUNCT
ejpam-6467	212	22	ϱ	ϱ	PROPN
ejpam-6467	212	23	)	)	PUNCT
ejpam-6467	212	24	f	f	PROPN
ejpam-6467	212	25	(	(	PUNCT
ejpam-6467	212	26	τ	τ	PROPN
ejpam-6467	212	27	)	)	PUNCT
ejpam-6467	212	28	1	1	NUM
ejpam-6467	212	29	γξγ	γξγ	NOUN
ejpam-6467	212	30	(	(	PUNCT
ejpam-6467	212	31	ξ	ξ	NOUN
ejpam-6467	212	32	)	)	PUNCT
ejpam-6467	212	33	e	e	PROPN
ejpam-6467	212	34	γ−1	γ−1	PROPN
ejpam-6467	212	35	γ	γ	X
ejpam-6467	212	36	(	(	PUNCT
ejpam-6467	212	37	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	212	38	)	)	PUNCT
ejpam-6467	212	39	)	)	PUNCT
ejpam-6467	213	1	(	(	PUNCT
ejpam-6467	213	2	ω	ω	X
ejpam-6467	213	3	(	(	PUNCT
ejpam-6467	213	4	κ)−	κ)−	PROPN
ejpam-6467	213	5	ω	ω	PROPN
ejpam-6467	213	6	(	(	PUNCT
ejpam-6467	213	7	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	213	8	(	(	PUNCT
ejpam-6467	213	9	τ	τ	X
ejpam-6467	213	10	)	)	PUNCT
ejpam-6467	213	11	.	.	PUNCT
ejpam-6467	214	1	(	(	PUNCT
ejpam-6467	214	2	34	34	NUM
ejpam-6467	214	3	)	)	PUNCT
ejpam-6467	214	4	integrating	integrate	VERB
ejpam-6467	214	5	the	the	DET
ejpam-6467	214	6	inequality	inequality	NOUN
ejpam-6467	214	7	(	(	PUNCT
ejpam-6467	214	8	34	34	NUM
ejpam-6467	214	9	)	)	PUNCT
ejpam-6467	214	10	at	at	ADP
ejpam-6467	214	11	(	(	PUNCT
ejpam-6467	214	12	a	a	DET
ejpam-6467	214	13	,	,	PUNCT
ejpam-6467	214	14	κ	κ	NOUN
ejpam-6467	214	15	)	)	PUNCT
ejpam-6467	214	16	with	with	ADP
ejpam-6467	214	17	respect	respect	NOUN
ejpam-6467	214	18	to	to	ADP
ejpam-6467	214	19	τ	τ	PROPN
ejpam-6467	214	20	,	,	PUNCT
ejpam-6467	214	21	we	we	PRON
ejpam-6467	214	22	have	have	VERB
ejpam-6467	214	23	f	f	PROPN
ejpam-6467	214	24	(	(	PUNCT
ejpam-6467	214	25	ϱ	ϱ	PROPN
ejpam-6467	214	26	)	)	PUNCT
ejpam-6467	214	27	1	1	NUM
ejpam-6467	214	28	γξγ	γξγ	NOUN
ejpam-6467	214	29	(	(	PUNCT
ejpam-6467	214	30	ξ	ξ	NOUN
ejpam-6467	214	31	)	)	PUNCT
ejpam-6467	214	32	∫	∫	PROPN
ejpam-6467	214	33	κ	κ	PROPN
ejpam-6467	214	34	a	a	DET
ejpam-6467	214	35	e	e	PROPN
ejpam-6467	214	36	γ−1	γ−1	PROPN
ejpam-6467	214	37	γ	γ	X
ejpam-6467	214	38	(	(	PUNCT
ejpam-6467	214	39	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	214	40	)	)	PUNCT
ejpam-6467	214	41	)	)	PUNCT
ejpam-6467	215	1	(	(	PUNCT
ejpam-6467	215	2	ω	ω	X
ejpam-6467	215	3	(	(	PUNCT
ejpam-6467	215	4	κ)−	κ)−	PROPN
ejpam-6467	215	5	ω	ω	PROPN
ejpam-6467	215	6	(	(	PUNCT
ejpam-6467	215	7	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	215	8	(	(	PUNCT
ejpam-6467	215	9	τ	τ	PROPN
ejpam-6467	215	10	)	)	PUNCT
ejpam-6467	215	11	φ2	φ2	PROPN
ejpam-6467	215	12	(	(	PUNCT
ejpam-6467	215	13	τ	τ	PROPN
ejpam-6467	215	14	)	)	PUNCT
ejpam-6467	215	15	dτ+	dτ+	PROPN
ejpam-6467	215	16	φ1	φ1	PROPN
ejpam-6467	215	17	(	(	PUNCT
ejpam-6467	215	18	ϱ	ϱ	NOUN
ejpam-6467	215	19	)	)	PUNCT
ejpam-6467	215	20	1	1	NUM
ejpam-6467	215	21	γξγ	γξγ	NOUN
ejpam-6467	215	22	(	(	PUNCT
ejpam-6467	215	23	ξ	ξ	NOUN
ejpam-6467	215	24	)	)	PUNCT
ejpam-6467	215	25	∫	∫	PROPN
ejpam-6467	215	26	t	t	PROPN
ejpam-6467	215	27	a	a	DET
ejpam-6467	215	28	e	e	PROPN
ejpam-6467	215	29	γ−1	γ−1	PROPN
ejpam-6467	215	30	γ	γ	X
ejpam-6467	215	31	(	(	PUNCT
ejpam-6467	215	32	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	215	33	)	)	PUNCT
ejpam-6467	215	34	)	)	PUNCT
ejpam-6467	215	35	(	(	PUNCT
ejpam-6467	215	36	ω	ω	X
ejpam-6467	215	37	(	(	PUNCT
ejpam-6467	215	38	κ)−	κ)−	PROPN
ejpam-6467	215	39	ω	ω	PROPN
ejpam-6467	215	40	(	(	PUNCT
ejpam-6467	215	41	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	215	42	(	(	PUNCT
ejpam-6467	215	43	τ	τ	X
ejpam-6467	215	44	)	)	PUNCT
ejpam-6467	215	45	f	f	PROPN
ejpam-6467	215	46	(	(	PUNCT
ejpam-6467	215	47	τ	τ	PROPN
ejpam-6467	215	48	)	)	PUNCT
ejpam-6467	215	49	dτ	dτ	NOUN
ejpam-6467	215	50	≥	≥	PROPN
ejpam-6467	215	51	φ1	φ1	PROPN
ejpam-6467	215	52	(	(	PUNCT
ejpam-6467	215	53	ϱ	ϱ	NOUN
ejpam-6467	215	54	)	)	PUNCT
ejpam-6467	215	55	)	)	PUNCT
ejpam-6467	215	56	1	1	NUM
ejpam-6467	215	57	γξγ	γξγ	NOUN
ejpam-6467	215	58	(	(	PUNCT
ejpam-6467	215	59	ξ	ξ	NOUN
ejpam-6467	215	60	)	)	PUNCT
ejpam-6467	215	61	∫	∫	PROPN
ejpam-6467	215	62	κ	κ	PROPN
ejpam-6467	215	63	a	a	DET
ejpam-6467	215	64	e	e	PROPN
ejpam-6467	215	65	γ−1	γ−1	PROPN
ejpam-6467	215	66	γ	γ	X
ejpam-6467	215	67	(	(	PUNCT
ejpam-6467	215	68	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	215	69	)	)	PUNCT
ejpam-6467	215	70	)	)	PUNCT
ejpam-6467	215	71	(	(	PUNCT
ejpam-6467	215	72	ω	ω	X
ejpam-6467	215	73	(	(	PUNCT
ejpam-6467	215	74	κ)−	κ)−	PROPN
ejpam-6467	215	75	ω	ω	PROPN
ejpam-6467	215	76	(	(	PUNCT
ejpam-6467	215	77	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	215	78	(	(	PUNCT
ejpam-6467	215	79	τ	τ	PROPN
ejpam-6467	215	80	)	)	PUNCT
ejpam-6467	215	81	φ2	φ2	PROPN
ejpam-6467	215	82	(	(	PUNCT
ejpam-6467	215	83	τ	τ	PROPN
ejpam-6467	215	84	)	)	PUNCT
ejpam-6467	215	85	dτ	dτ	PROPN
ejpam-6467	216	1	+	+	CCONJ
ejpam-6467	216	2	f	f	X
ejpam-6467	216	3	(	(	PUNCT
ejpam-6467	216	4	ϱ	ϱ	PROPN
ejpam-6467	216	5	)	)	PUNCT
ejpam-6467	216	6	1	1	NUM
ejpam-6467	216	7	γξγ	γξγ	NOUN
ejpam-6467	216	8	(	(	PUNCT
ejpam-6467	216	9	ξ	ξ	NOUN
ejpam-6467	216	10	)	)	PUNCT
ejpam-6467	216	11	∫	∫	PROPN
ejpam-6467	216	12	t	t	PROPN
ejpam-6467	216	13	a	a	DET
ejpam-6467	216	14	e	e	PROPN
ejpam-6467	216	15	γ−1	γ−1	PROPN
ejpam-6467	216	16	γ	γ	X
ejpam-6467	216	17	(	(	PUNCT
ejpam-6467	216	18	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	216	19	)	)	PUNCT
ejpam-6467	216	20	)	)	PUNCT
ejpam-6467	217	1	(	(	PUNCT
ejpam-6467	217	2	ω	ω	X
ejpam-6467	217	3	(	(	PUNCT
ejpam-6467	217	4	κ)−	κ)−	PROPN
ejpam-6467	217	5	ω	ω	PROPN
ejpam-6467	217	6	(	(	PUNCT
ejpam-6467	217	7	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	217	8	(	(	PUNCT
ejpam-6467	217	9	τ	τ	X
ejpam-6467	217	10	)	)	PUNCT
ejpam-6467	217	11	f	f	PROPN
ejpam-6467	217	12	(	(	PUNCT
ejpam-6467	217	13	τ	τ	PROPN
ejpam-6467	217	14	)	)	PUNCT
ejpam-6467	217	15	dτ	dτ	PROPN
ejpam-6467	217	16	.	.	PROPN
ejpam-6467	217	17	that	that	PRON
ejpam-6467	217	18	is	be	AUX
ejpam-6467	217	19	,	,	PUNCT
ejpam-6467	217	20	f(ϱ	f(ϱ	NOUN
ejpam-6467	217	21	)	)	PUNCT
ejpam-6467	217	22	[	[	PUNCT
ejpam-6467	217	23	(	(	PUNCT
ejpam-6467	217	24	ai	ai	VERB
ejpam-6467	217	25	ξ	ξ	PROPN
ejpam-6467	217	26	,	,	PUNCT
ejpam-6467	217	27	γ	γ	X
ejpam-6467	217	28	,	,	PUNCT
ejpam-6467	217	29	ωφ2	ωφ2	NUM
ejpam-6467	217	30	)	)	PUNCT
ejpam-6467	217	31	(	(	PUNCT
ejpam-6467	217	32	κ	κ	NOUN
ejpam-6467	217	33	)	)	PUNCT
ejpam-6467	217	34	]	]	PUNCT
ejpam-6467	218	1	+	+	CCONJ
ejpam-6467	218	2	φ1	φ1	NOUN
ejpam-6467	218	3	(	(	PUNCT
ejpam-6467	218	4	ϱ	ϱ	PROPN
ejpam-6467	218	5	)	)	PUNCT
ejpam-6467	218	6	[	[	PUNCT
ejpam-6467	218	7	(	(	PUNCT
ejpam-6467	218	8	ai	ai	VERB
ejpam-6467	218	9	ξ	ξ	PROPN
ejpam-6467	218	10	,	,	PUNCT
ejpam-6467	218	11	γ	γ	X
ejpam-6467	218	12	,	,	PUNCT
ejpam-6467	218	13	ωf	ωf	X
ejpam-6467	218	14	)	)	PUNCT
ejpam-6467	218	15	(	(	PUNCT
ejpam-6467	218	16	κ	κ	NOUN
ejpam-6467	218	17	)	)	PUNCT
ejpam-6467	218	18	]	]	PUNCT
ejpam-6467	218	19	≥	≥	PROPN
ejpam-6467	218	20	φ1	φ1	PROPN
ejpam-6467	218	21	(	(	PUNCT
ejpam-6467	218	22	ϱ	ϱ	PROPN
ejpam-6467	218	23	)	)	PUNCT
ejpam-6467	218	24	[	[	PUNCT
ejpam-6467	218	25	(	(	PUNCT
ejpam-6467	218	26	ai	ai	VERB
ejpam-6467	218	27	ξ	ξ	PROPN
ejpam-6467	218	28	,	,	PUNCT
ejpam-6467	218	29	γ	γ	X
ejpam-6467	218	30	,	,	PUNCT
ejpam-6467	218	31	ωφ2	ωφ2	NUM
ejpam-6467	218	32	)	)	PUNCT
ejpam-6467	218	33	(	(	PUNCT
ejpam-6467	218	34	κ	κ	NOUN
ejpam-6467	218	35	)	)	PUNCT
ejpam-6467	218	36	]	]	PUNCT
ejpam-6467	219	1	+	+	CCONJ
ejpam-6467	219	2	f	f	X
ejpam-6467	219	3	(	(	PUNCT
ejpam-6467	219	4	ϱ	ϱ	PROPN
ejpam-6467	219	5	)	)	PUNCT
ejpam-6467	219	6	[	[	PUNCT
ejpam-6467	219	7	(	(	PUNCT
ejpam-6467	219	8	ai	ai	VERB
ejpam-6467	219	9	ξ	ξ	PROPN
ejpam-6467	219	10	,	,	PUNCT
ejpam-6467	219	11	γ	γ	X
ejpam-6467	219	12	,	,	PUNCT
ejpam-6467	219	13	ωf	ωf	X
ejpam-6467	219	14	)	)	PUNCT
ejpam-6467	219	15	(	(	PUNCT
ejpam-6467	219	16	κ	κ	NOUN
ejpam-6467	219	17	)	)	PUNCT
ejpam-6467	219	18	]	]	PUNCT
ejpam-6467	219	19	.	.	PUNCT
ejpam-6467	220	1	(	(	PUNCT
ejpam-6467	220	2	35	35	NUM
ejpam-6467	220	3	)	)	PUNCT
ejpam-6467	220	4	multiplying	multiply	VERB
ejpam-6467	220	5	both	both	DET
ejpam-6467	220	6	sides	side	NOUN
ejpam-6467	220	7	of	of	ADP
ejpam-6467	220	8	(	(	PUNCT
ejpam-6467	220	9	35	35	NUM
ejpam-6467	220	10	)	)	PUNCT
ejpam-6467	220	11	with	with	ADP
ejpam-6467	220	12	1	1	NUM
ejpam-6467	220	13	γξγ(ξ	γξγ(ξ	NOUN
ejpam-6467	220	14	)	)	PUNCT
ejpam-6467	221	1	e	e	PROPN
ejpam-6467	221	2	γ−1	γ−1	PROPN
ejpam-6467	221	3	γ	γ	X
ejpam-6467	221	4	(	(	PUNCT
ejpam-6467	221	5	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	221	6	)	)	PUNCT
ejpam-6467	221	7	)	)	PUNCT
ejpam-6467	221	8	(	(	PUNCT
ejpam-6467	221	9	ω	ω	X
ejpam-6467	221	10	(	(	PUNCT
ejpam-6467	221	11	κ)−	κ)−	PROPN
ejpam-6467	221	12	ω	ω	PROPN
ejpam-6467	221	13	(	(	PUNCT
ejpam-6467	221	14	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	221	15	(	(	PUNCT
ejpam-6467	221	16	ϱ	ϱ	NOUN
ejpam-6467	221	17	)	)	PUNCT
ejpam-6467	221	18	,	,	PUNCT
ejpam-6467	221	19	ϱ	ϱ	PROPN
ejpam-6467	221	20	∈	∈	PROPN
ejpam-6467	221	21	(	(	PUNCT
ejpam-6467	221	22	a	a	PRON
ejpam-6467	221	23	,	,	PUNCT
ejpam-6467	221	24	κ	κ	NOUN
ejpam-6467	221	25	)	)	PUNCT
ejpam-6467	221	26	with	with	ADP
ejpam-6467	221	27	respect	respect	NOUN
ejpam-6467	221	28	to	to	ADP
ejpam-6467	221	29	ϱ	ϱ	VERB
ejpam-6467	221	30	and	and	CCONJ
ejpam-6467	221	31	integrating	integrate	VERB
ejpam-6467	221	32	inequality	inequality	NOUN
ejpam-6467	221	33	at	at	ADP
ejpam-6467	221	34	(	(	PUNCT
ejpam-6467	221	35	a	a	PRON
ejpam-6467	221	36	,	,	PUNCT
ejpam-6467	221	37	κ	κ	NOUN
ejpam-6467	221	38	)	)	PUNCT
ejpam-6467	221	39	with	with	ADP
ejpam-6467	221	40	respect	respect	NOUN
ejpam-6467	221	41	to	to	ADP
ejpam-6467	221	42	ϱ	ϱ	VERB
ejpam-6467	221	43	,	,	PUNCT
ejpam-6467	221	44	then	then	ADV
ejpam-6467	221	45	we	we	PRON
ejpam-6467	221	46	obtain	obtain	VERB
ejpam-6467	221	47	[	[	PUNCT
ejpam-6467	221	48	(	(	PUNCT
ejpam-6467	221	49	ai	ai	VERB
ejpam-6467	221	50	ξ	ξ	PROPN
ejpam-6467	221	51	,	,	PUNCT
ejpam-6467	221	52	γ	γ	X
ejpam-6467	221	53	,	,	PUNCT
ejpam-6467	221	54	ωφ2	ωφ2	NUM
ejpam-6467	221	55	)	)	PUNCT
ejpam-6467	221	56	(	(	PUNCT
ejpam-6467	221	57	κ	κ	NOUN
ejpam-6467	221	58	)	)	PUNCT
ejpam-6467	221	59	]	]	PUNCT
ejpam-6467	221	60	1	1	NUM
ejpam-6467	221	61	γξγ	γξγ	NOUN
ejpam-6467	221	62	(	(	PUNCT
ejpam-6467	221	63	ξ	ξ	NOUN
ejpam-6467	221	64	)	)	PUNCT
ejpam-6467	221	65	∫	∫	PROPN
ejpam-6467	221	66	κ	κ	PROPN
ejpam-6467	221	67	a	a	DET
ejpam-6467	221	68	e	e	PROPN
ejpam-6467	221	69	γ−1	γ−1	PROPN
ejpam-6467	221	70	γ	γ	X
ejpam-6467	221	71	(	(	PUNCT
ejpam-6467	221	72	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	221	73	)	)	PUNCT
ejpam-6467	221	74	)	)	PUNCT
ejpam-6467	222	1	(	(	PUNCT
ejpam-6467	222	2	ω	ω	X
ejpam-6467	222	3	(	(	PUNCT
ejpam-6467	222	4	κ)−	κ)−	PROPN
ejpam-6467	222	5	ω	ω	PROPN
ejpam-6467	222	6	(	(	PUNCT
ejpam-6467	222	7	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	222	8	(	(	PUNCT
ejpam-6467	222	9	ϱ	ϱ	NOUN
ejpam-6467	222	10	)	)	PUNCT
ejpam-6467	222	11	f(ϱ)dϱ	f(ϱ)dϱ	PUNCT
ejpam-6467	223	1	+	+	CCONJ
ejpam-6467	223	2	[	[	PUNCT
ejpam-6467	223	3	(	(	PUNCT
ejpam-6467	223	4	ai	ai	PROPN
ejpam-6467	223	5	ξ	ξ	PROPN
ejpam-6467	223	6	,	,	PUNCT
ejpam-6467	223	7	γ	γ	X
ejpam-6467	223	8	,	,	PUNCT
ejpam-6467	223	9	ωf	ωf	X
ejpam-6467	223	10	)	)	PUNCT
ejpam-6467	223	11	(	(	PUNCT
ejpam-6467	223	12	κ	κ	NOUN
ejpam-6467	223	13	)	)	PUNCT
ejpam-6467	223	14	]	]	PUNCT
ejpam-6467	223	15	1	1	NUM
ejpam-6467	223	16	γξγ	γξγ	NOUN
ejpam-6467	223	17	(	(	PUNCT
ejpam-6467	223	18	ξ	ξ	NOUN
ejpam-6467	223	19	)	)	PUNCT
ejpam-6467	223	20	∫	∫	PROPN
ejpam-6467	223	21	κ	κ	PROPN
ejpam-6467	223	22	a	a	DET
ejpam-6467	223	23	e	e	PROPN
ejpam-6467	223	24	γ−1	γ−1	PROPN
ejpam-6467	223	25	γ	γ	X
ejpam-6467	223	26	(	(	PUNCT
ejpam-6467	223	27	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	223	28	)	)	PUNCT
ejpam-6467	223	29	)	)	PUNCT
ejpam-6467	224	1	(	(	PUNCT
ejpam-6467	224	2	ω	ω	X
ejpam-6467	224	3	(	(	PUNCT
ejpam-6467	224	4	κ)−	κ)−	PROPN
ejpam-6467	224	5	ω	ω	PROPN
ejpam-6467	224	6	(	(	PUNCT
ejpam-6467	224	7	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	224	8	(	(	PUNCT
ejpam-6467	224	9	ϱ	ϱ	NOUN
ejpam-6467	224	10	)	)	PUNCT
ejpam-6467	224	11	φ1	φ1	NOUN
ejpam-6467	224	12	(	(	PUNCT
ejpam-6467	224	13	ϱ	ϱ	PROPN
ejpam-6467	224	14	)	)	PUNCT
ejpam-6467	224	15	dϱ	dϱ	NOUN
ejpam-6467	224	16	≥	≥	NOUN
ejpam-6467	224	17	[	[	PUNCT
ejpam-6467	224	18	(	(	PUNCT
ejpam-6467	224	19	ai	ai	VERB
ejpam-6467	224	20	ξ	ξ	PROPN
ejpam-6467	224	21	,	,	PUNCT
ejpam-6467	224	22	γ	γ	X
ejpam-6467	224	23	,	,	PUNCT
ejpam-6467	224	24	ωφ2	ωφ2	NUM
ejpam-6467	224	25	)	)	PUNCT
ejpam-6467	224	26	(	(	PUNCT
ejpam-6467	224	27	κ	κ	NOUN
ejpam-6467	224	28	)	)	PUNCT
ejpam-6467	224	29	]	]	PUNCT
ejpam-6467	224	30	1	1	NUM
ejpam-6467	224	31	γξγ	γξγ	NOUN
ejpam-6467	224	32	(	(	PUNCT
ejpam-6467	224	33	ξ	ξ	NOUN
ejpam-6467	224	34	)	)	PUNCT
ejpam-6467	224	35	∫	∫	PROPN
ejpam-6467	224	36	κ	κ	PROPN
ejpam-6467	224	37	a	a	DET
ejpam-6467	224	38	e	e	PROPN
ejpam-6467	224	39	γ−1	γ−1	PROPN
ejpam-6467	224	40	γ	γ	X
ejpam-6467	224	41	(	(	PUNCT
ejpam-6467	224	42	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	224	43	)	)	PUNCT
ejpam-6467	224	44	)	)	PUNCT
ejpam-6467	225	1	(	(	PUNCT
ejpam-6467	225	2	ω	ω	X
ejpam-6467	225	3	(	(	PUNCT
ejpam-6467	225	4	κ)−	κ)−	PROPN
ejpam-6467	225	5	ω	ω	PROPN
ejpam-6467	225	6	(	(	PUNCT
ejpam-6467	225	7	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	225	8	(	(	PUNCT
ejpam-6467	225	9	ϱ	ϱ	NOUN
ejpam-6467	225	10	)	)	PUNCT
ejpam-6467	225	11	φ1	φ1	NOUN
ejpam-6467	225	12	(	(	PUNCT
ejpam-6467	225	13	ϱ	ϱ	NOUN
ejpam-6467	225	14	)	)	PUNCT
ejpam-6467	225	15	dϱ	dϱ	NOUN
ejpam-6467	225	16	+	+	CCONJ
ejpam-6467	225	17	[	[	PUNCT
ejpam-6467	225	18	(	(	PUNCT
ejpam-6467	225	19	ai	ai	VERB
ejpam-6467	225	20	ξ	ξ	PROPN
ejpam-6467	225	21	,	,	PUNCT
ejpam-6467	225	22	γ	γ	X
ejpam-6467	225	23	,	,	PUNCT
ejpam-6467	225	24	ωf	ωf	X
ejpam-6467	225	25	)	)	PUNCT
ejpam-6467	225	26	(	(	PUNCT
ejpam-6467	225	27	κ	κ	NOUN
ejpam-6467	225	28	)	)	PUNCT
ejpam-6467	225	29	]	]	PUNCT
ejpam-6467	225	30	1	1	NUM
ejpam-6467	225	31	γξγ	γξγ	NOUN
ejpam-6467	225	32	(	(	PUNCT
ejpam-6467	225	33	ξ	ξ	NOUN
ejpam-6467	225	34	)	)	PUNCT
ejpam-6467	225	35	∫	∫	PROPN
ejpam-6467	225	36	κ	κ	PROPN
ejpam-6467	225	37	a	a	DET
ejpam-6467	225	38	e	e	PROPN
ejpam-6467	225	39	γ−1	γ−1	PROPN
ejpam-6467	225	40	γ	γ	X
ejpam-6467	225	41	(	(	PUNCT
ejpam-6467	225	42	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	225	43	)	)	PUNCT
ejpam-6467	225	44	)	)	PUNCT
ejpam-6467	225	45	(	(	PUNCT
ejpam-6467	225	46	ω	ω	X
ejpam-6467	225	47	(	(	PUNCT
ejpam-6467	225	48	κ)−	κ)−	PROPN
ejpam-6467	225	49	ω	ω	PROPN
ejpam-6467	225	50	(	(	PUNCT
ejpam-6467	225	51	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	225	52	(	(	PUNCT
ejpam-6467	225	53	ϱ	ϱ	NOUN
ejpam-6467	225	54	)	)	PUNCT
ejpam-6467	225	55	f	f	PROPN
ejpam-6467	225	56	(	(	PUNCT
ejpam-6467	225	57	ϱ	ϱ	PROPN
ejpam-6467	225	58	)	)	PUNCT
ejpam-6467	225	59	dϱ.	dϱ.	NOUN
ejpam-6467	225	60	(	(	PUNCT
ejpam-6467	225	61	36	36	NUM
ejpam-6467	225	62	)	)	PUNCT
ejpam-6467	225	63	thus	thus	ADV
ejpam-6467	225	64	,	,	PUNCT
ejpam-6467	225	65	we	we	PRON
ejpam-6467	225	66	get	get	VERB
ejpam-6467	225	67	the	the	DET
ejpam-6467	225	68	inequality	inequality	NOUN
ejpam-6467	225	69	(	(	PUNCT
ejpam-6467	225	70	31	31	NUM
ejpam-6467	225	71	)	)	PUNCT
ejpam-6467	225	72	.	.	PUNCT
ejpam-6467	226	1	theorem	theorem	NOUN
ejpam-6467	226	2	5	5	NUM
ejpam-6467	226	3	.	.	PUNCT
ejpam-6467	226	4	suppose	suppose	VERB
ejpam-6467	226	5	that	that	SCONJ
ejpam-6467	226	6	f	f	PROPN
ejpam-6467	226	7	is	be	AUX
ejpam-6467	226	8	an	an	DET
ejpam-6467	226	9	integrable	integrable	ADJ
ejpam-6467	226	10	function	function	NOUN
ejpam-6467	226	11	on	on	ADP
ejpam-6467	226	12	[	[	X
ejpam-6467	226	13	a	a	X
ejpam-6467	226	14	,	,	PUNCT
ejpam-6467	226	15	b	b	NOUN
ejpam-6467	226	16	]	]	X
ejpam-6467	226	17	,	,	PUNCT
ejpam-6467	226	18	then	then	ADV
ejpam-6467	226	19	for	for	ADP
ejpam-6467	226	20	κ	κ	PROPN
ejpam-6467	226	21	>	>	X
ejpam-6467	226	22	a	a	PROPN
ejpam-6467	226	23	,	,	PUNCT
ejpam-6467	226	24	ξ	ξ	PROPN
ejpam-6467	226	25	∈	∈	PROPN
ejpam-6467	226	26	c	c	X
ejpam-6467	226	27	,	,	PUNCT
ejpam-6467	226	28	ℜ(ξ	ℜ(ξ	X
ejpam-6467	226	29	)	)	PUNCT
ejpam-6467	226	30	>	>	X
ejpam-6467	226	31	0	0	NUM
ejpam-6467	226	32	,	,	PUNCT
ejpam-6467	226	33	γ	γ	X
ejpam-6467	226	34	∈	∈	PROPN
ejpam-6467	226	35	(	(	PUNCT
ejpam-6467	226	36	0	0	NUM
ejpam-6467	226	37	,	,	PUNCT
ejpam-6467	226	38	1],φ1,φ2	1],φ1,φ2	NUM
ejpam-6467	226	39	∈	∈	NOUN
ejpam-6467	226	40	[	[	X
ejpam-6467	226	41	a	a	X
ejpam-6467	226	42	,	,	PUNCT
ejpam-6467	226	43	b	b	NOUN
ejpam-6467	226	44	]	]	PUNCT
ejpam-6467	226	45	and	and	CCONJ
ejpam-6467	226	46	φ1	φ1	PROPN
ejpam-6467	226	47	≤	≤	NUM
ejpam-6467	226	48	f	f	PROPN
ejpam-6467	226	49	≤	≤	PROPN
ejpam-6467	226	50	φ2	φ2	PROPN
ejpam-6467	226	51	,	,	PUNCT
ejpam-6467	226	52	λ1	λ1	ADJ
ejpam-6467	226	53	,	,	PUNCT
ejpam-6467	226	54	λ2	λ2	NOUN
ejpam-6467	226	55	>	>	X
ejpam-6467	226	56	0	0	NUM
ejpam-6467	226	57	and	and	CCONJ
ejpam-6467	226	58	1	1	NUM
ejpam-6467	226	59	λ1	λ1	ADJ
ejpam-6467	226	60	+	+	CCONJ
ejpam-6467	226	61	1	1	NUM
ejpam-6467	226	62	λ2	λ2	NOUN
ejpam-6467	226	63	=	=	SYM
ejpam-6467	226	64	1	1	NUM
ejpam-6467	226	65	,	,	PUNCT
ejpam-6467	226	66	the	the	DET
ejpam-6467	226	67	following	follow	VERB
ejpam-6467	226	68	ω−proportional	ω−proportional	ADJ
ejpam-6467	226	69	holds	hold	NOUN
ejpam-6467	226	70	:	:	PUNCT
ejpam-6467	226	71	1	1	NUM
ejpam-6467	226	72	λ1	λ1	ADJ
ejpam-6467	226	73	[	[	X
ejpam-6467	226	74	(	(	PUNCT
ejpam-6467	226	75	ai	ai	PROPN
ejpam-6467	226	76	ξ	ξ	PROPN
ejpam-6467	226	77	,	,	PUNCT
ejpam-6467	226	78	γ	γ	X
ejpam-6467	226	79	,	,	PUNCT
ejpam-6467	226	80	ω	ω	PROPN
ejpam-6467	226	81	(	(	PUNCT
ejpam-6467	226	82	φ2	φ2	PROPN
ejpam-6467	226	83	−	−	PROPN
ejpam-6467	226	84	f)λ1	f)λ1	PROPN
ejpam-6467	226	85	)	)	PUNCT
ejpam-6467	226	86	(	(	PUNCT
ejpam-6467	226	87	κ	κ	NOUN
ejpam-6467	226	88	)	)	PUNCT
ejpam-6467	226	89	]	]	PUNCT
ejpam-6467	227	1	[	[	X
ejpam-6467	227	2	(	(	PUNCT
ejpam-6467	227	3	ai	ai	VERB
ejpam-6467	227	4	ξ	ξ	PROPN
ejpam-6467	227	5	,	,	PUNCT
ejpam-6467	227	6	γ	γ	X
ejpam-6467	227	7	,	,	PUNCT
ejpam-6467	227	8	h	h	NOUN
ejpam-6467	227	9	(	(	PUNCT
ejpam-6467	227	10	1	1	NUM
ejpam-6467	227	11	)	)	PUNCT
ejpam-6467	227	12	)	)	PUNCT
ejpam-6467	227	13	]	]	PUNCT
ejpam-6467	228	1	+	+	CCONJ
ejpam-6467	228	2	1	1	NUM
ejpam-6467	228	3	λ2	λ2	NOUN
ejpam-6467	228	4	[	[	X
ejpam-6467	228	5	(	(	PUNCT
ejpam-6467	228	6	ai	ai	PROPN
ejpam-6467	228	7	ξ	ξ	PROPN
ejpam-6467	228	8	,	,	PUNCT
ejpam-6467	228	9	γ	γ	X
ejpam-6467	228	10	,	,	PUNCT
ejpam-6467	228	11	h	h	NOUN
ejpam-6467	228	12	(	(	PUNCT
ejpam-6467	228	13	1	1	NUM
ejpam-6467	228	14	)	)	PUNCT
ejpam-6467	228	15	)	)	PUNCT
ejpam-6467	228	16	]	]	PUNCT
ejpam-6467	229	1	[	[	X
ejpam-6467	229	2	(	(	PUNCT
ejpam-6467	229	3	ai	ai	VERB
ejpam-6467	229	4	ξ	ξ	PROPN
ejpam-6467	229	5	,	,	PUNCT
ejpam-6467	229	6	γ	γ	X
ejpam-6467	229	7	,	,	PUNCT
ejpam-6467	229	8	ω	ω	PROPN
ejpam-6467	229	9	(	(	PUNCT
ejpam-6467	229	10	f−	f−	PROPN
ejpam-6467	229	11	φ1	φ1	PROPN
ejpam-6467	229	12	)	)	PUNCT
ejpam-6467	229	13	λ2	λ2	NOUN
ejpam-6467	229	14	)	)	PUNCT
ejpam-6467	229	15	(	(	PUNCT
ejpam-6467	229	16	κ	κ	NOUN
ejpam-6467	229	17	)	)	PUNCT
ejpam-6467	229	18	]	]	PUNCT
ejpam-6467	229	19	j.	j.	PROPN
ejpam-6467	229	20	nasir	nasir	PROPN
ejpam-6467	229	21	,	,	PUNCT
ejpam-6467	229	22	h.	h.	PROPN
ejpam-6467	229	23	qawaqneh	qawaqneh	PROPN
ejpam-6467	229	24	,	,	PUNCT
ejpam-6467	229	25	h.	h.	PROPN
ejpam-6467	229	26	aydi	aydi	VERB
ejpam-6467	229	27	/	/	SYM
ejpam-6467	229	28	eur	eur	NOUN
ejpam-6467	229	29	.	.	PUNCT
ejpam-6467	230	1	j.	j.	PROPN
ejpam-6467	230	2	pure	pure	PROPN
ejpam-6467	230	3	appl	appl	PROPN
ejpam-6467	230	4	.	.	PROPN
ejpam-6467	230	5	math	math	PROPN
ejpam-6467	230	6	,	,	PUNCT
ejpam-6467	230	7	18	18	NUM
ejpam-6467	230	8	(	(	PUNCT
ejpam-6467	230	9	3	3	NUM
ejpam-6467	230	10	)	)	PUNCT
ejpam-6467	230	11	(	(	PUNCT
ejpam-6467	230	12	2025	2025	NUM
ejpam-6467	230	13	)	)	PUNCT
ejpam-6467	230	14	,	,	PUNCT
ejpam-6467	230	15	6467	6467	NUM
ejpam-6467	230	16	12	12	NUM
ejpam-6467	230	17	of	of	ADP
ejpam-6467	230	18	16	16	NUM
ejpam-6467	230	19	+	+	CCONJ
ejpam-6467	231	1	[	[	X
ejpam-6467	231	2	(	(	PUNCT
ejpam-6467	231	3	ai	ai	INTJ
ejpam-6467	231	4	ξ	ξ	PROPN
ejpam-6467	231	5	,	,	PUNCT
ejpam-6467	231	6	γ	γ	X
ejpam-6467	231	7	,	,	PUNCT
ejpam-6467	231	8	hφ2	hφ2	NOUN
ejpam-6467	231	9	)	)	PUNCT
ejpam-6467	231	10	(	(	PUNCT
ejpam-6467	231	11	κ	κ	NOUN
ejpam-6467	231	12	)	)	PUNCT
ejpam-6467	231	13	]	]	PUNCT
ejpam-6467	231	14	[	[	X
ejpam-6467	231	15	(	(	PUNCT
ejpam-6467	231	16	ai	ai	VERB
ejpam-6467	231	17	ξ	ξ	PROPN
ejpam-6467	231	18	,	,	PUNCT
ejpam-6467	231	19	γ	γ	X
ejpam-6467	231	20	,	,	PUNCT
ejpam-6467	231	21	hφ1	hφ1	NOUN
ejpam-6467	231	22	)	)	PUNCT
ejpam-6467	231	23	(	(	PUNCT
ejpam-6467	231	24	κ	κ	NOUN
ejpam-6467	231	25	)	)	PUNCT
ejpam-6467	231	26	]	]	PUNCT
ejpam-6467	232	1	+	+	CCONJ
ejpam-6467	232	2	[	[	X
ejpam-6467	232	3	(	(	PUNCT
ejpam-6467	232	4	ai	ai	INTJ
ejpam-6467	232	5	ξ	ξ	PROPN
ejpam-6467	232	6	,	,	PUNCT
ejpam-6467	232	7	γ	γ	X
ejpam-6467	232	8	,	,	PUNCT
ejpam-6467	232	9	hf	hf	NOUN
ejpam-6467	232	10	)	)	PUNCT
ejpam-6467	232	11	(	(	PUNCT
ejpam-6467	232	12	κ	κ	NOUN
ejpam-6467	232	13	)	)	PUNCT
ejpam-6467	232	14	]	]	PUNCT
ejpam-6467	232	15	2	2	NUM
ejpam-6467	232	16	≥	≥	NUM
ejpam-6467	232	17	[	[	X
ejpam-6467	232	18	(	(	PUNCT
ejpam-6467	232	19	ai	ai	PROPN
ejpam-6467	232	20	ξ	ξ	PROPN
ejpam-6467	232	21	,	,	PUNCT
ejpam-6467	232	22	γ	γ	X
ejpam-6467	232	23	,	,	PUNCT
ejpam-6467	232	24	hφ2	hφ2	NOUN
ejpam-6467	232	25	)	)	PUNCT
ejpam-6467	232	26	(	(	PUNCT
ejpam-6467	232	27	κ	κ	NOUN
ejpam-6467	232	28	)	)	PUNCT
ejpam-6467	232	29	]	]	PUNCT
ejpam-6467	233	1	[	[	X
ejpam-6467	233	2	(	(	PUNCT
ejpam-6467	233	3	ai	ai	VERB
ejpam-6467	233	4	ξ	ξ	PROPN
ejpam-6467	233	5	,	,	PUNCT
ejpam-6467	233	6	γ	γ	X
ejpam-6467	233	7	,	,	PUNCT
ejpam-6467	233	8	hf	hf	NOUN
ejpam-6467	233	9	)	)	PUNCT
ejpam-6467	233	10	(	(	PUNCT
ejpam-6467	233	11	κ	κ	NOUN
ejpam-6467	233	12	)	)	PUNCT
ejpam-6467	233	13	]	]	PUNCT
ejpam-6467	234	1	+	+	CCONJ
ejpam-6467	234	2	[	[	X
ejpam-6467	234	3	(	(	PUNCT
ejpam-6467	234	4	ai	ai	INTJ
ejpam-6467	234	5	ξ	ξ	PROPN
ejpam-6467	234	6	,	,	PUNCT
ejpam-6467	234	7	γ	γ	X
ejpam-6467	234	8	,	,	PUNCT
ejpam-6467	234	9	hf	hf	NOUN
ejpam-6467	234	10	)	)	PUNCT
ejpam-6467	234	11	(	(	PUNCT
ejpam-6467	234	12	κ	κ	NOUN
ejpam-6467	234	13	)	)	PUNCT
ejpam-6467	234	14	]	]	PUNCT
ejpam-6467	235	1	[	[	X
ejpam-6467	235	2	(	(	PUNCT
ejpam-6467	235	3	ai	ai	VERB
ejpam-6467	235	4	ξ	ξ	PROPN
ejpam-6467	235	5	,	,	PUNCT
ejpam-6467	235	6	γ	γ	X
ejpam-6467	235	7	,	,	PUNCT
ejpam-6467	235	8	hφ1	hφ1	NOUN
ejpam-6467	235	9	)	)	PUNCT
ejpam-6467	235	10	(	(	PUNCT
ejpam-6467	235	11	κ	κ	NOUN
ejpam-6467	235	12	)	)	PUNCT
ejpam-6467	235	13	]	]	PUNCT
ejpam-6467	235	14	(	(	PUNCT
ejpam-6467	235	15	37	37	NUM
ejpam-6467	235	16	)	)	PUNCT
ejpam-6467	235	17	proof	proof	NOUN
ejpam-6467	235	18	.	.	PUNCT
ejpam-6467	236	1	with	with	ADP
ejpam-6467	236	2	the	the	DET
ejpam-6467	236	3	help	help	NOUN
ejpam-6467	236	4	of	of	ADP
ejpam-6467	236	5	well	well	ADV
ejpam-6467	236	6	-	-	PUNCT
ejpam-6467	236	7	known	know	VERB
ejpam-6467	236	8	young	young	ADJ
ejpam-6467	236	9	’s	’s	PART
ejpam-6467	236	10	inequality	inequality	NOUN
ejpam-6467	236	11	(	(	PUNCT
ejpam-6467	236	12	see	see	VERB
ejpam-6467	236	13	[	[	X
ejpam-6467	236	14	16	16	NUM
ejpam-6467	236	15	]	]	SYM
ejpam-6467	236	16	)	)	PUNCT
ejpam-6467	236	17	,	,	PUNCT
ejpam-6467	236	18	one	one	PRON
ejpam-6467	236	19	has	have	VERB
ejpam-6467	236	20	1	1	NUM
ejpam-6467	236	21	λ1	λ1	ADJ
ejpam-6467	236	22	uλ1	uλ1	NOUN
ejpam-6467	236	23	+	+	CCONJ
ejpam-6467	236	24	1	1	NUM
ejpam-6467	236	25	λ2	λ2	NOUN
ejpam-6467	236	26	vλ2	vλ2	X
ejpam-6467	236	27	≥	≥	NOUN
ejpam-6467	236	28	uv	uv	NOUN
ejpam-6467	236	29	;	;	PUNCT
ejpam-6467	236	30	where	where	SCONJ
ejpam-6467	236	31	u	u	NOUN
ejpam-6467	236	32	,	,	PUNCT
ejpam-6467	236	33	v	v	PRON
ejpam-6467	236	34	≥	≥	NOUN
ejpam-6467	236	35	0	0	NUM
ejpam-6467	236	36	.	.	PUNCT
ejpam-6467	236	37	(	(	PUNCT
ejpam-6467	236	38	38	38	NUM
ejpam-6467	236	39	)	)	PUNCT
ejpam-6467	236	40	by	by	ADP
ejpam-6467	236	41	setting	set	VERB
ejpam-6467	236	42	the	the	DET
ejpam-6467	236	43	requirement	requirement	NOUN
ejpam-6467	236	44	u	u	NOUN
ejpam-6467	236	45	=	=	PROPN
ejpam-6467	236	46	φ2	φ2	PROPN
ejpam-6467	236	47	−	−	PROPN
ejpam-6467	236	48	f	f	PROPN
ejpam-6467	236	49	and	and	CCONJ
ejpam-6467	236	50	v	v	NOUN
ejpam-6467	236	51	=	=	NOUN
ejpam-6467	236	52	f−	f−	PROPN
ejpam-6467	236	53	φ1	φ1	PROPN
ejpam-6467	236	54	,	,	PUNCT
ejpam-6467	236	55	we	we	PRON
ejpam-6467	236	56	have	have	VERB
ejpam-6467	236	57	1	1	NUM
ejpam-6467	236	58	λ1	λ1	PROPN
ejpam-6467	236	59	[	[	X
ejpam-6467	236	60	φ2	φ2	PROPN
ejpam-6467	236	61	−	−	PROPN
ejpam-6467	236	62	f]λ1	f]λ1	PROPN
ejpam-6467	237	1	+	+	CCONJ
ejpam-6467	237	2	1	1	NUM
ejpam-6467	237	3	λ2	λ2	NOUN
ejpam-6467	237	4	[	[	X
ejpam-6467	237	5	f−	f−	PROPN
ejpam-6467	237	6	φ1	φ1	PROPN
ejpam-6467	237	7	]	]	PUNCT
ejpam-6467	237	8	λ2	λ2	NOUN
ejpam-6467	237	9	≥	≥	NUM
ejpam-6467	237	10	[	[	X
ejpam-6467	237	11	φ2	φ2	NOUN
ejpam-6467	237	12	−	−	PROPN
ejpam-6467	237	13	f][f−	f][f−	NOUN
ejpam-6467	237	14	φ1	φ1	PROPN
ejpam-6467	237	15	]	]	PUNCT
ejpam-6467	237	16	;	;	PUNCT
ejpam-6467	237	17	where	where	SCONJ
ejpam-6467	237	18	u	u	NOUN
ejpam-6467	237	19	,	,	PUNCT
ejpam-6467	237	20	v	v	PRON
ejpam-6467	237	21	≥	≥	NOUN
ejpam-6467	237	22	0	0	NUM
ejpam-6467	237	23	.	.	PUNCT
ejpam-6467	237	24	(	(	PUNCT
ejpam-6467	237	25	39	39	NUM
ejpam-6467	237	26	)	)	PUNCT
ejpam-6467	237	27	multiplying	multiply	VERB
ejpam-6467	237	28	both	both	DET
ejpam-6467	237	29	sides	side	NOUN
ejpam-6467	237	30	of	of	ADP
ejpam-6467	237	31	(	(	PUNCT
ejpam-6467	237	32	39	39	NUM
ejpam-6467	237	33	)	)	PUNCT
ejpam-6467	237	34	with	with	ADP
ejpam-6467	237	35	1	1	NUM
ejpam-6467	237	36	γξγ(ξ	γξγ(ξ	NOUN
ejpam-6467	237	37	)	)	PUNCT
ejpam-6467	238	1	e	e	PROPN
ejpam-6467	238	2	γ−1	γ−1	PROPN
ejpam-6467	238	3	γ	γ	X
ejpam-6467	238	4	(	(	PUNCT
ejpam-6467	238	5	ω(κ)−ω(τ	ω(κ)−ω(τ	NUM
ejpam-6467	238	6	)	)	PUNCT
ejpam-6467	238	7	)	)	PUNCT
ejpam-6467	238	8	(	(	PUNCT
ejpam-6467	238	9	ω	ω	X
ejpam-6467	238	10	(	(	PUNCT
ejpam-6467	238	11	κ)−	κ)−	PROPN
ejpam-6467	238	12	ω	ω	PROPN
ejpam-6467	238	13	(	(	PUNCT
ejpam-6467	238	14	τ))ξ−1ω′	τ))ξ−1ω′	X
ejpam-6467	238	15	(	(	PUNCT
ejpam-6467	238	16	τ	τ	PROPN
ejpam-6467	238	17	)	)	PUNCT
ejpam-6467	238	18	,	,	PUNCT
ejpam-6467	238	19	τ	τ	PROPN
ejpam-6467	238	20	∈	∈	PROPN
ejpam-6467	238	21	(	(	PUNCT
ejpam-6467	238	22	a	a	PRON
ejpam-6467	238	23	,	,	PUNCT
ejpam-6467	238	24	κ	κ	NOUN
ejpam-6467	238	25	)	)	PUNCT
ejpam-6467	238	26	with	with	ADP
ejpam-6467	238	27	respect	respect	NOUN
ejpam-6467	238	28	to	to	ADP
ejpam-6467	238	29	τ	τ	PROPN
ejpam-6467	238	30	,	,	PUNCT
ejpam-6467	238	31	and	and	CCONJ
ejpam-6467	238	32	integrating	integrate	VERB
ejpam-6467	238	33	with	with	ADP
ejpam-6467	238	34	respect	respect	NOUN
ejpam-6467	238	35	to	to	ADP
ejpam-6467	238	36	τ	τ	PROPN
ejpam-6467	238	37	∈	∈	PROPN
ejpam-6467	238	38	(	(	PUNCT
ejpam-6467	238	39	a	a	DET
ejpam-6467	238	40	,	,	PUNCT
ejpam-6467	238	41	κ	κ	NOUN
ejpam-6467	238	42	)	)	PUNCT
ejpam-6467	238	43	,	,	PUNCT
ejpam-6467	238	44	we	we	PRON
ejpam-6467	238	45	obtain	obtain	VERB
ejpam-6467	238	46	1	1	NUM
ejpam-6467	238	47	λ1	λ1	NOUN
ejpam-6467	238	48	[	[	X
ejpam-6467	238	49	(	(	PUNCT
ejpam-6467	238	50	ai	ai	PROPN
ejpam-6467	238	51	ξ	ξ	PROPN
ejpam-6467	238	52	,	,	PUNCT
ejpam-6467	238	53	γ	γ	X
ejpam-6467	238	54	,	,	PUNCT
ejpam-6467	238	55	ω	ω	PROPN
ejpam-6467	238	56	(	(	PUNCT
ejpam-6467	238	57	φ2	φ2	PROPN
ejpam-6467	238	58	−	−	PROPN
ejpam-6467	238	59	f)λ1	f)λ1	PROPN
ejpam-6467	238	60	)	)	PUNCT
ejpam-6467	238	61	(	(	PUNCT
ejpam-6467	238	62	κ	κ	NOUN
ejpam-6467	238	63	)	)	PUNCT
ejpam-6467	238	64	]	]	PUNCT
ejpam-6467	239	1	+	+	CCONJ
ejpam-6467	239	2	1	1	NUM
ejpam-6467	239	3	λ2	λ2	NOUN
ejpam-6467	239	4	[	[	X
ejpam-6467	239	5	(	(	PUNCT
ejpam-6467	239	6	ai	ai	PROPN
ejpam-6467	239	7	ξ	ξ	PROPN
ejpam-6467	239	8	,	,	PUNCT
ejpam-6467	239	9	γ	γ	X
ejpam-6467	239	10	,	,	PUNCT
ejpam-6467	239	11	h	h	NOUN
ejpam-6467	239	12	(	(	PUNCT
ejpam-6467	239	13	1	1	NUM
ejpam-6467	239	14	)	)	PUNCT
ejpam-6467	239	15	)	)	PUNCT
ejpam-6467	240	1	]	]	PUNCT
ejpam-6467	240	2	[	[	X
ejpam-6467	240	3	(	(	PUNCT
ejpam-6467	240	4	(	(	PUNCT
ejpam-6467	240	5	f	f	X
ejpam-6467	240	6	(	(	PUNCT
ejpam-6467	240	7	ϱ)−	ϱ)−	PROPN
ejpam-6467	240	8	φ1	φ1	PROPN
ejpam-6467	240	9	(	(	PUNCT
ejpam-6467	240	10	ϱ	ϱ	NOUN
ejpam-6467	240	11	)	)	PUNCT
ejpam-6467	240	12	)	)	PUNCT
ejpam-6467	240	13	λ2	λ2	NOUN
ejpam-6467	240	14	)	)	PUNCT
ejpam-6467	240	15	(	(	PUNCT
ejpam-6467	240	16	κ	κ	NOUN
ejpam-6467	240	17	)	)	PUNCT
ejpam-6467	240	18	]	]	PUNCT
ejpam-6467	241	1	+	+	PUNCT
ejpam-6467	241	2	φ1	φ1	NOUN
ejpam-6467	241	3	(	(	PUNCT
ejpam-6467	241	4	ϱ	ϱ	NOUN
ejpam-6467	241	5	)	)	PUNCT
ejpam-6467	241	6	[	[	PUNCT
ejpam-6467	241	7	(	(	PUNCT
ejpam-6467	241	8	ai	ai	VERB
ejpam-6467	241	9	ξ	ξ	PROPN
ejpam-6467	241	10	,	,	PUNCT
ejpam-6467	241	11	γ	γ	X
ejpam-6467	241	12	,	,	PUNCT
ejpam-6467	241	13	ωφ2	ωφ2	NUM
ejpam-6467	241	14	)	)	PUNCT
ejpam-6467	241	15	(	(	PUNCT
ejpam-6467	241	16	κ	κ	NOUN
ejpam-6467	241	17	)	)	PUNCT
ejpam-6467	241	18	]	]	PUNCT
ejpam-6467	242	1	+	+	CCONJ
ejpam-6467	242	2	f	f	X
ejpam-6467	242	3	(	(	PUNCT
ejpam-6467	242	4	ϱ	ϱ	PROPN
ejpam-6467	242	5	)	)	PUNCT
ejpam-6467	242	6	[	[	PUNCT
ejpam-6467	242	7	(	(	PUNCT
ejpam-6467	242	8	ai	ai	VERB
ejpam-6467	242	9	ξ	ξ	PROPN
ejpam-6467	242	10	,	,	PUNCT
ejpam-6467	242	11	γ	γ	X
ejpam-6467	242	12	,	,	PUNCT
ejpam-6467	242	13	ωf	ωf	X
ejpam-6467	242	14	)	)	PUNCT
ejpam-6467	242	15	(	(	PUNCT
ejpam-6467	242	16	κ	κ	NOUN
ejpam-6467	242	17	)	)	PUNCT
ejpam-6467	242	18	]	]	PUNCT
ejpam-6467	242	19	≥	≥	PROPN
ejpam-6467	242	20	f	f	X
ejpam-6467	242	21	(	(	PUNCT
ejpam-6467	242	22	ϱ	ϱ	PROPN
ejpam-6467	242	23	)	)	PUNCT
ejpam-6467	242	24	[	[	PUNCT
ejpam-6467	242	25	(	(	PUNCT
ejpam-6467	242	26	ai	ai	VERB
ejpam-6467	242	27	ξ	ξ	PROPN
ejpam-6467	242	28	,	,	PUNCT
ejpam-6467	242	29	γ	γ	X
ejpam-6467	242	30	,	,	PUNCT
ejpam-6467	242	31	ωφ2	ωφ2	NUM
ejpam-6467	242	32	)	)	PUNCT
ejpam-6467	242	33	(	(	PUNCT
ejpam-6467	242	34	κ	κ	NOUN
ejpam-6467	242	35	)	)	PUNCT
ejpam-6467	242	36	]	]	PUNCT
ejpam-6467	243	1	+	+	CCONJ
ejpam-6467	243	2	φ1	φ1	NOUN
ejpam-6467	243	3	(	(	PUNCT
ejpam-6467	243	4	ϱ	ϱ	PROPN
ejpam-6467	243	5	)	)	PUNCT
ejpam-6467	243	6	[	[	PUNCT
ejpam-6467	243	7	(	(	PUNCT
ejpam-6467	243	8	ai	ai	VERB
ejpam-6467	243	9	ξ	ξ	PROPN
ejpam-6467	243	10	,	,	PUNCT
ejpam-6467	243	11	γ	γ	X
ejpam-6467	243	12	,	,	PUNCT
ejpam-6467	243	13	ωf	ωf	X
ejpam-6467	243	14	)	)	PUNCT
ejpam-6467	243	15	(	(	PUNCT
ejpam-6467	243	16	κ	κ	NOUN
ejpam-6467	243	17	)	)	PUNCT
ejpam-6467	243	18	]	]	PUNCT
ejpam-6467	243	19	(	(	PUNCT
ejpam-6467	243	20	40	40	NUM
ejpam-6467	243	21	)	)	PUNCT
ejpam-6467	243	22	multiplying	multiply	VERB
ejpam-6467	243	23	both	both	DET
ejpam-6467	243	24	sides	side	NOUN
ejpam-6467	243	25	of	of	ADP
ejpam-6467	243	26	(	(	PUNCT
ejpam-6467	243	27	40	40	NUM
ejpam-6467	243	28	)	)	PUNCT
ejpam-6467	243	29	with	with	ADP
ejpam-6467	243	30	1	1	NUM
ejpam-6467	243	31	γξγ(ξ	γξγ(ξ	NOUN
ejpam-6467	243	32	)	)	PUNCT
ejpam-6467	244	1	e	e	PROPN
ejpam-6467	244	2	γ−1	γ−1	PROPN
ejpam-6467	244	3	γ	γ	X
ejpam-6467	244	4	(	(	PUNCT
ejpam-6467	244	5	ω(κ)−ω(ϱ	ω(κ)−ω(ϱ	NUM
ejpam-6467	244	6	)	)	PUNCT
ejpam-6467	244	7	)	)	PUNCT
ejpam-6467	244	8	(	(	PUNCT
ejpam-6467	244	9	ω	ω	X
ejpam-6467	244	10	(	(	PUNCT
ejpam-6467	244	11	κ)−	κ)−	PROPN
ejpam-6467	244	12	ω	ω	PROPN
ejpam-6467	244	13	(	(	PUNCT
ejpam-6467	244	14	ϱ))ξ−1ω′	ϱ))ξ−1ω′	X
ejpam-6467	244	15	(	(	PUNCT
ejpam-6467	244	16	ϱ	ϱ	NOUN
ejpam-6467	244	17	)	)	PUNCT
ejpam-6467	244	18	,	,	PUNCT
ejpam-6467	244	19	ϱ	ϱ	PROPN
ejpam-6467	244	20	∈	∈	PROPN
ejpam-6467	244	21	(	(	PUNCT
ejpam-6467	244	22	a	a	PRON
ejpam-6467	244	23	,	,	PUNCT
ejpam-6467	244	24	κ	κ	NOUN
ejpam-6467	244	25	)	)	PUNCT
ejpam-6467	244	26	with	with	ADP
ejpam-6467	244	27	respect	respect	NOUN
ejpam-6467	244	28	to	to	ADP
ejpam-6467	244	29	ϱ	ϱ	VERB
ejpam-6467	244	30	and	and	CCONJ
ejpam-6467	244	31	integrating	integrate	VERB
ejpam-6467	244	32	inequality	inequality	NOUN
ejpam-6467	244	33	at	at	ADP
ejpam-6467	244	34	(	(	PUNCT
ejpam-6467	244	35	a	a	PRON
ejpam-6467	244	36	,	,	PUNCT
ejpam-6467	244	37	κ	κ	NOUN
ejpam-6467	244	38	)	)	PUNCT
ejpam-6467	244	39	with	with	ADP
ejpam-6467	244	40	respect	respect	NOUN
ejpam-6467	244	41	to	to	ADP
ejpam-6467	244	42	ϱ	ϱ	VERB
ejpam-6467	244	43	,	,	PUNCT
ejpam-6467	244	44	then	then	ADV
ejpam-6467	244	45	after	after	ADP
ejpam-6467	244	46	getting	get	VERB
ejpam-6467	244	47	the	the	DET
ejpam-6467	244	48	simplification	simplification	NOUN
ejpam-6467	244	49	,	,	PUNCT
ejpam-6467	244	50	we	we	PRON
ejpam-6467	244	51	get	get	VERB
ejpam-6467	244	52	1	1	NUM
ejpam-6467	244	53	λ1	λ1	NOUN
ejpam-6467	244	54	[	[	X
ejpam-6467	244	55	(	(	PUNCT
ejpam-6467	244	56	ai	ai	PROPN
ejpam-6467	244	57	ξ	ξ	PROPN
ejpam-6467	244	58	,	,	PUNCT
ejpam-6467	244	59	γ	γ	X
ejpam-6467	244	60	,	,	PUNCT
ejpam-6467	244	61	ω	ω	PROPN
ejpam-6467	244	62	(	(	PUNCT
ejpam-6467	244	63	φ2	φ2	PROPN
ejpam-6467	244	64	−	−	PROPN
ejpam-6467	244	65	f)λ1	f)λ1	PROPN
ejpam-6467	244	66	)	)	PUNCT
ejpam-6467	244	67	(	(	PUNCT
ejpam-6467	244	68	κ	κ	NOUN
ejpam-6467	244	69	)	)	PUNCT
ejpam-6467	244	70	]	]	PUNCT
ejpam-6467	245	1	[	[	X
ejpam-6467	245	2	(	(	PUNCT
ejpam-6467	245	3	ai	ai	VERB
ejpam-6467	245	4	ξ	ξ	PROPN
ejpam-6467	245	5	,	,	PUNCT
ejpam-6467	245	6	γ	γ	X
ejpam-6467	245	7	,	,	PUNCT
ejpam-6467	245	8	h	h	NOUN
ejpam-6467	245	9	(	(	PUNCT
ejpam-6467	245	10	1	1	NUM
ejpam-6467	245	11	)	)	PUNCT
ejpam-6467	245	12	)	)	PUNCT
ejpam-6467	245	13	]	]	PUNCT
ejpam-6467	246	1	+	+	CCONJ
ejpam-6467	246	2	1	1	NUM
ejpam-6467	246	3	λ2	λ2	NOUN
ejpam-6467	246	4	[	[	X
ejpam-6467	246	5	(	(	PUNCT
ejpam-6467	246	6	ai	ai	PROPN
ejpam-6467	246	7	ξ	ξ	PROPN
ejpam-6467	246	8	,	,	PUNCT
ejpam-6467	246	9	γ	γ	X
ejpam-6467	246	10	,	,	PUNCT
ejpam-6467	246	11	h	h	NOUN
ejpam-6467	246	12	(	(	PUNCT
ejpam-6467	246	13	1	1	NUM
ejpam-6467	246	14	)	)	PUNCT
ejpam-6467	246	15	)	)	PUNCT
ejpam-6467	246	16	]	]	PUNCT
ejpam-6467	247	1	[	[	X
ejpam-6467	247	2	(	(	PUNCT
ejpam-6467	247	3	ai	ai	VERB
ejpam-6467	247	4	ξ	ξ	PROPN
ejpam-6467	247	5	,	,	PUNCT
ejpam-6467	247	6	γ	γ	X
ejpam-6467	247	7	,	,	PUNCT
ejpam-6467	247	8	ω	ω	PROPN
ejpam-6467	247	9	(	(	PUNCT
ejpam-6467	247	10	f−	f−	PROPN
ejpam-6467	247	11	φ1	φ1	PROPN
ejpam-6467	247	12	)	)	PUNCT
ejpam-6467	247	13	λ2	λ2	NOUN
ejpam-6467	247	14	)	)	PUNCT
ejpam-6467	247	15	(	(	PUNCT
ejpam-6467	247	16	κ	κ	NOUN
ejpam-6467	247	17	)	)	PUNCT
ejpam-6467	247	18	]	]	PUNCT
ejpam-6467	248	1	+	+	CCONJ
ejpam-6467	248	2	[	[	X
ejpam-6467	248	3	(	(	PUNCT
ejpam-6467	248	4	ai	ai	INTJ
ejpam-6467	248	5	ξ	ξ	PROPN
ejpam-6467	248	6	,	,	PUNCT
ejpam-6467	248	7	γ	γ	X
ejpam-6467	248	8	,	,	PUNCT
ejpam-6467	248	9	hφ2	hφ2	NOUN
ejpam-6467	248	10	)	)	PUNCT
ejpam-6467	248	11	(	(	PUNCT
ejpam-6467	248	12	κ	κ	NOUN
ejpam-6467	248	13	)	)	PUNCT
ejpam-6467	248	14	]	]	PUNCT
ejpam-6467	249	1	[	[	X
ejpam-6467	249	2	(	(	PUNCT
ejpam-6467	249	3	ai	ai	VERB
ejpam-6467	249	4	ξ	ξ	PROPN
ejpam-6467	249	5	,	,	PUNCT
ejpam-6467	249	6	γ	γ	X
ejpam-6467	249	7	,	,	PUNCT
ejpam-6467	249	8	hφ1	hφ1	NOUN
ejpam-6467	249	9	)	)	PUNCT
ejpam-6467	249	10	(	(	PUNCT
ejpam-6467	249	11	κ	κ	NOUN
ejpam-6467	249	12	)	)	PUNCT
ejpam-6467	249	13	]	]	PUNCT
ejpam-6467	250	1	+	+	CCONJ
ejpam-6467	250	2	[	[	X
ejpam-6467	250	3	(	(	PUNCT
ejpam-6467	250	4	ai	ai	INTJ
ejpam-6467	250	5	ξ	ξ	PROPN
ejpam-6467	250	6	,	,	PUNCT
ejpam-6467	250	7	γ	γ	X
ejpam-6467	250	8	,	,	PUNCT
ejpam-6467	250	9	hf	hf	NOUN
ejpam-6467	250	10	)	)	PUNCT
ejpam-6467	250	11	(	(	PUNCT
ejpam-6467	250	12	κ	κ	NOUN
ejpam-6467	250	13	)	)	PUNCT
ejpam-6467	250	14	]	]	PUNCT
ejpam-6467	250	15	2	2	NUM
ejpam-6467	250	16	≥	≥	NUM
ejpam-6467	250	17	[	[	X
ejpam-6467	250	18	(	(	PUNCT
ejpam-6467	250	19	ai	ai	PROPN
ejpam-6467	250	20	ξ	ξ	PROPN
ejpam-6467	250	21	,	,	PUNCT
ejpam-6467	250	22	γ	γ	X
ejpam-6467	250	23	,	,	PUNCT
ejpam-6467	250	24	hφ2	hφ2	NOUN
ejpam-6467	250	25	)	)	PUNCT
ejpam-6467	250	26	(	(	PUNCT
ejpam-6467	250	27	κ	κ	NOUN
ejpam-6467	250	28	)	)	PUNCT
ejpam-6467	250	29	]	]	PUNCT
ejpam-6467	251	1	[	[	X
ejpam-6467	251	2	(	(	PUNCT
ejpam-6467	251	3	ai	ai	VERB
ejpam-6467	251	4	ξ	ξ	PROPN
ejpam-6467	251	5	,	,	PUNCT
ejpam-6467	251	6	γ	γ	X
ejpam-6467	251	7	,	,	PUNCT
ejpam-6467	251	8	hf	hf	NOUN
ejpam-6467	251	9	)	)	PUNCT
ejpam-6467	251	10	(	(	PUNCT
ejpam-6467	251	11	κ	κ	NOUN
ejpam-6467	251	12	)	)	PUNCT
ejpam-6467	251	13	]	]	PUNCT
ejpam-6467	252	1	+	+	CCONJ
ejpam-6467	252	2	[	[	X
ejpam-6467	252	3	(	(	PUNCT
ejpam-6467	252	4	ai	ai	INTJ
ejpam-6467	252	5	ξ	ξ	PROPN
ejpam-6467	252	6	,	,	PUNCT
ejpam-6467	252	7	γ	γ	X
ejpam-6467	252	8	,	,	PUNCT
ejpam-6467	252	9	hf	hf	NOUN
ejpam-6467	252	10	)	)	PUNCT
ejpam-6467	252	11	(	(	PUNCT
ejpam-6467	252	12	κ	κ	NOUN
ejpam-6467	252	13	)	)	PUNCT
ejpam-6467	252	14	]	]	PUNCT
ejpam-6467	253	1	[	[	X
ejpam-6467	253	2	(	(	PUNCT
ejpam-6467	253	3	ai	ai	VERB
ejpam-6467	253	4	ξ	ξ	PROPN
ejpam-6467	253	5	,	,	PUNCT
ejpam-6467	253	6	γ	γ	X
ejpam-6467	253	7	,	,	PUNCT
ejpam-6467	253	8	hφ1	hφ1	NOUN
ejpam-6467	253	9	)	)	PUNCT
ejpam-6467	253	10	(	(	PUNCT
ejpam-6467	253	11	κ	κ	NOUN
ejpam-6467	253	12	)	)	PUNCT
ejpam-6467	253	13	]	]	PUNCT
ejpam-6467	253	14	.	.	PUNCT
ejpam-6467	254	1	this	this	PRON
ejpam-6467	254	2	completes	complete	VERB
ejpam-6467	254	3	the	the	DET
ejpam-6467	254	4	proof	proof	NOUN
ejpam-6467	254	5	.	.	PUNCT
ejpam-6467	255	1	j.	j.	PROPN
ejpam-6467	255	2	nasir	nasir	PROPN
ejpam-6467	255	3	,	,	PUNCT
ejpam-6467	255	4	h.	h.	PROPN
ejpam-6467	255	5	qawaqneh	qawaqneh	PROPN
ejpam-6467	255	6	,	,	PUNCT
ejpam-6467	255	7	h.	h.	PROPN
ejpam-6467	255	8	aydi	aydi	VERB
ejpam-6467	255	9	/	/	SYM
ejpam-6467	255	10	eur	eur	NOUN
ejpam-6467	255	11	.	.	PUNCT
ejpam-6467	256	1	j.	j.	PROPN
ejpam-6467	256	2	pure	pure	PROPN
ejpam-6467	256	3	appl	appl	PROPN
ejpam-6467	256	4	.	.	PROPN
ejpam-6467	256	5	math	math	PROPN
ejpam-6467	256	6	,	,	PUNCT
ejpam-6467	256	7	18	18	NUM
ejpam-6467	256	8	(	(	PUNCT
ejpam-6467	256	9	3	3	NUM
ejpam-6467	256	10	)	)	PUNCT
ejpam-6467	256	11	(	(	PUNCT
ejpam-6467	256	12	2025	2025	NUM
ejpam-6467	256	13	)	)	PUNCT
ejpam-6467	256	14	,	,	PUNCT
ejpam-6467	256	15	6467	6467	NUM
ejpam-6467	256	16	13	13	NUM
ejpam-6467	256	17	of	of	ADP
ejpam-6467	256	18	16	16	NUM
ejpam-6467	256	19	4	4	NUM
ejpam-6467	256	20	.	.	PUNCT
ejpam-6467	256	21	special	special	ADJ
ejpam-6467	256	22	cases	case	NOUN
ejpam-6467	256	23	here	here	ADV
ejpam-6467	256	24	,	,	PUNCT
ejpam-6467	256	25	we	we	PRON
ejpam-6467	256	26	aim	aim	VERB
ejpam-6467	256	27	at	at	ADP
ejpam-6467	256	28	present	present	ADJ
ejpam-6467	256	29	some	some	DET
ejpam-6467	256	30	new	new	ADJ
ejpam-6467	256	31	generalizations	generalization	NOUN
ejpam-6467	256	32	via	via	ADP
ejpam-6467	256	33	proportional	proportional	ADJ
ejpam-6467	256	34	fractional	fractional	ADJ
ejpam-6467	256	35	integrals	integral	NOUN
ejpam-6467	256	36	with	with	ADP
ejpam-6467	256	37	respect	respect	NOUN
ejpam-6467	256	38	to	to	ADP
ejpam-6467	256	39	another	another	DET
ejpam-6467	256	40	function	function	NOUN
ejpam-6467	256	41	,	,	PUNCT
ejpam-6467	256	42	which	which	PRON
ejpam-6467	256	43	are	be	AUX
ejpam-6467	256	44	the	the	DET
ejpam-6467	256	45	new	new	ADJ
ejpam-6467	256	46	estimates	estimate	NOUN
ejpam-6467	256	47	of	of	ADP
ejpam-6467	256	48	the	the	DET
ejpam-6467	256	49	main	main	ADJ
ejpam-6467	256	50	consequences	consequence	NOUN
ejpam-6467	256	51	.	.	PUNCT
ejpam-6467	257	1	corollary	corollary	ADJ
ejpam-6467	257	2	1	1	NUM
ejpam-6467	257	3	.	.	PUNCT
ejpam-6467	258	1	under	under	ADP
ejpam-6467	258	2	the	the	DET
ejpam-6467	258	3	assumptions	assumption	NOUN
ejpam-6467	258	4	of	of	ADP
ejpam-6467	258	5	theorem	theorem	NOUN
ejpam-6467	258	6	1	1	NUM
ejpam-6467	258	7	,	,	PUNCT
ejpam-6467	258	8	the	the	DET
ejpam-6467	258	9	following	follow	VERB
ejpam-6467	258	10	inequality	inequality	NOUN
ejpam-6467	258	11	holds	hold	VERB
ejpam-6467	258	12	:	:	PUNCT
ejpam-6467	258	13	[	[	PUNCT
ejpam-6467	258	14	(	(	PUNCT
ejpam-6467	258	15	ai	ai	VERB
ejpam-6467	258	16	ξ	ξ	PROPN
ejpam-6467	258	17	,	,	PUNCT
ejpam-6467	258	18	γfg	γfg	NOUN
ejpam-6467	258	19	)	)	PUNCT
ejpam-6467	258	20	(	(	PUNCT
ejpam-6467	258	21	κ	κ	NOUN
ejpam-6467	258	22	)	)	PUNCT
ejpam-6467	258	23	]	]	PUNCT
ejpam-6467	258	24	.	.	PUNCT
ejpam-6467	259	1	[	[	X
ejpam-6467	259	2	ai	ai	VERB
ejpam-6467	259	3	ξ	ξ	PROPN
ejpam-6467	259	4	,	,	PUNCT
ejpam-6467	259	5	γ(1	γ(1	PROPN
ejpam-6467	259	6	)	)	PUNCT
ejpam-6467	259	7	]	]	PUNCT
ejpam-6467	259	8	≥	≥	X
ejpam-6467	259	9	[	[	PUNCT
ejpam-6467	259	10	(	(	PUNCT
ejpam-6467	259	11	ai	ai	VERB
ejpam-6467	259	12	ξ	ξ	PROPN
ejpam-6467	259	13	,	,	PUNCT
ejpam-6467	259	14	γf	γf	PROPN
ejpam-6467	259	15	)	)	PUNCT
ejpam-6467	259	16	(	(	PUNCT
ejpam-6467	259	17	κ	κ	NOUN
ejpam-6467	259	18	)	)	PUNCT
ejpam-6467	259	19	]	]	PUNCT
ejpam-6467	259	20	.	.	PUNCT
ejpam-6467	260	1	[	[	PUNCT
ejpam-6467	260	2	(	(	PUNCT
ejpam-6467	260	3	ai	ai	VERB
ejpam-6467	260	4	ξ	ξ	PROPN
ejpam-6467	260	5	,	,	PUNCT
ejpam-6467	260	6	γg	γg	PROPN
ejpam-6467	260	7	)	)	PUNCT
ejpam-6467	260	8	(	(	PUNCT
ejpam-6467	260	9	κ	κ	NOUN
ejpam-6467	260	10	)	)	PUNCT
ejpam-6467	260	11	]	]	PUNCT
ejpam-6467	260	12	.	.	PUNCT
ejpam-6467	261	1	proof	proof	NOUN
ejpam-6467	261	2	.	.	PUNCT
ejpam-6467	262	1	letting	let	VERB
ejpam-6467	262	2	ω(x	ω(x	NOUN
ejpam-6467	262	3	)	)	PUNCT
ejpam-6467	262	4	=	=	PUNCT
ejpam-6467	263	1	x	x	X
ejpam-6467	263	2	in	in	ADP
ejpam-6467	263	3	theorem	theorem	NOUN
ejpam-6467	263	4	1	1	NUM
ejpam-6467	263	5	yields	yield	VERB
ejpam-6467	263	6	the	the	DET
ejpam-6467	263	7	proof	proof	NOUN
ejpam-6467	263	8	of	of	ADP
ejpam-6467	263	9	corollary	corollary	ADJ
ejpam-6467	263	10	1	1	NUM
ejpam-6467	263	11	.	.	PUNCT
ejpam-6467	263	12	corollary	corollary	ADJ
ejpam-6467	263	13	2	2	NUM
ejpam-6467	263	14	.	.	PUNCT
ejpam-6467	264	1	under	under	ADP
ejpam-6467	264	2	the	the	DET
ejpam-6467	264	3	assumptions	assumption	NOUN
ejpam-6467	264	4	of	of	ADP
ejpam-6467	264	5	theorem	theorem	NOUN
ejpam-6467	264	6	2	2	NUM
ejpam-6467	264	7	,	,	PUNCT
ejpam-6467	264	8	the	the	DET
ejpam-6467	264	9	following	follow	VERB
ejpam-6467	264	10	inequality	inequality	NOUN
ejpam-6467	264	11	holds	hold	VERB
ejpam-6467	264	12	:	:	PUNCT
ejpam-6467	264	13	[	[	PUNCT
ejpam-6467	264	14	(	(	PUNCT
ejpam-6467	264	15	ai	ai	VERB
ejpam-6467	264	16	ξ	ξ	PROPN
ejpam-6467	264	17	,	,	PUNCT
ejpam-6467	264	18	γfg	γfg	NOUN
ejpam-6467	264	19	)	)	PUNCT
ejpam-6467	264	20	(	(	PUNCT
ejpam-6467	264	21	κ	κ	NOUN
ejpam-6467	264	22	)	)	PUNCT
ejpam-6467	264	23	]	]	PUNCT
ejpam-6467	264	24	.	.	PUNCT
ejpam-6467	265	1	[	[	X
ejpam-6467	265	2	ai	ai	VERB
ejpam-6467	265	3	β	β	X
ejpam-6467	265	4	,	,	PUNCT
ejpam-6467	265	5	γ(1	γ(1	PROPN
ejpam-6467	265	6	)	)	PUNCT
ejpam-6467	265	7	]	]	PUNCT
ejpam-6467	266	1	+	+	CCONJ
ejpam-6467	266	2	[	[	PUNCT
ejpam-6467	266	3	(	(	PUNCT
ejpam-6467	266	4	ai	ai	VERB
ejpam-6467	266	5	β	β	X
ejpam-6467	266	6	,	,	PUNCT
ejpam-6467	266	7	γfg	γfg	NOUN
ejpam-6467	266	8	)	)	PUNCT
ejpam-6467	266	9	(	(	PUNCT
ejpam-6467	266	10	κ)][ai	κ)][ai	PROPN
ejpam-6467	266	11	ξ	ξ	X
ejpam-6467	266	12	,	,	PUNCT
ejpam-6467	266	13	γ(1	γ(1	PROPN
ejpam-6467	266	14	)	)	PUNCT
ejpam-6467	266	15	]	]	PUNCT
ejpam-6467	266	16	≥	≥	X
ejpam-6467	266	17	[	[	PUNCT
ejpam-6467	266	18	(	(	PUNCT
ejpam-6467	266	19	ai	ai	VERB
ejpam-6467	266	20	ξ	ξ	PROPN
ejpam-6467	266	21	,	,	PUNCT
ejpam-6467	266	22	γf	γf	PROPN
ejpam-6467	266	23	)	)	PUNCT
ejpam-6467	266	24	(	(	PUNCT
ejpam-6467	266	25	κ	κ	NOUN
ejpam-6467	266	26	)	)	PUNCT
ejpam-6467	266	27	]	]	PUNCT
ejpam-6467	266	28	.	.	PUNCT
ejpam-6467	267	1	[	[	PUNCT
ejpam-6467	267	2	(	(	PUNCT
ejpam-6467	267	3	ai	ai	VERB
ejpam-6467	267	4	β	β	X
ejpam-6467	267	5	,	,	PUNCT
ejpam-6467	267	6	γg	γg	PROPN
ejpam-6467	267	7	)	)	PUNCT
ejpam-6467	267	8	(	(	PUNCT
ejpam-6467	267	9	κ	κ	NOUN
ejpam-6467	267	10	)	)	PUNCT
ejpam-6467	267	11	+	+	CCONJ
ejpam-6467	267	12	[	[	PUNCT
ejpam-6467	267	13	(	(	PUNCT
ejpam-6467	267	14	ai	ai	VERB
ejpam-6467	267	15	β	β	X
ejpam-6467	267	16	,	,	PUNCT
ejpam-6467	267	17	γf	γf	PROPN
ejpam-6467	267	18	)	)	PUNCT
ejpam-6467	267	19	(	(	PUNCT
ejpam-6467	267	20	κ	κ	NOUN
ejpam-6467	267	21	)	)	PUNCT
ejpam-6467	267	22	]	]	PUNCT
ejpam-6467	267	23	.	.	PUNCT
ejpam-6467	268	1	[	[	PUNCT
ejpam-6467	268	2	(	(	PUNCT
ejpam-6467	268	3	ai	ai	VERB
ejpam-6467	268	4	ξ	ξ	PROPN
ejpam-6467	268	5	,	,	PUNCT
ejpam-6467	268	6	γg	γg	PROPN
ejpam-6467	268	7	)	)	PUNCT
ejpam-6467	268	8	(	(	PUNCT
ejpam-6467	268	9	κ	κ	NOUN
ejpam-6467	268	10	)	)	PUNCT
ejpam-6467	268	11	]	]	PUNCT
ejpam-6467	268	12	.	.	PUNCT
ejpam-6467	269	1	proof	proof	NOUN
ejpam-6467	269	2	.	.	PUNCT
ejpam-6467	270	1	letting	let	VERB
ejpam-6467	270	2	ω(x	ω(x	NOUN
ejpam-6467	270	3	)	)	PUNCT
ejpam-6467	270	4	=	=	PUNCT
ejpam-6467	271	1	x	x	X
ejpam-6467	271	2	in	in	ADP
ejpam-6467	271	3	theorem	theorem	NOUN
ejpam-6467	271	4	2	2	NUM
ejpam-6467	271	5	yields	yield	NOUN
ejpam-6467	271	6	the	the	DET
ejpam-6467	271	7	proof	proof	NOUN
ejpam-6467	271	8	of	of	ADP
ejpam-6467	271	9	corollary	corollary	ADJ
ejpam-6467	271	10	2	2	NUM
ejpam-6467	271	11	.	.	PUNCT
ejpam-6467	271	12	corollary	corollary	ADJ
ejpam-6467	271	13	3	3	NUM
ejpam-6467	271	14	.	.	PUNCT
ejpam-6467	272	1	under	under	ADP
ejpam-6467	272	2	the	the	DET
ejpam-6467	272	3	assumptions	assumption	NOUN
ejpam-6467	272	4	of	of	ADP
ejpam-6467	272	5	theorem	theorem	NOUN
ejpam-6467	272	6	2	2	NUM
ejpam-6467	272	7	,	,	PUNCT
ejpam-6467	272	8	the	the	DET
ejpam-6467	272	9	following	follow	VERB
ejpam-6467	272	10	inequality	inequality	NOUN
ejpam-6467	272	11	holds	hold	VERB
ejpam-6467	272	12	:	:	PUNCT
ejpam-6467	272	13	[	[	PUNCT
ejpam-6467	272	14	(	(	PUNCT
ejpam-6467	272	15	ai	ai	VERB
ejpam-6467	272	16	γ	γ	X
ejpam-6467	272	17	,	,	PUNCT
ejpam-6467	272	18	ωfg	ωfg	NOUN
ejpam-6467	272	19	)	)	PUNCT
ejpam-6467	272	20	(	(	PUNCT
ejpam-6467	272	21	κ	κ	NOUN
ejpam-6467	272	22	)	)	PUNCT
ejpam-6467	272	23	]	]	PUNCT
ejpam-6467	272	24	.	.	PUNCT
ejpam-6467	273	1	[	[	X
ejpam-6467	273	2	ai	ai	VERB
ejpam-6467	273	3	γ	γ	X
ejpam-6467	273	4	,	,	PUNCT
ejpam-6467	273	5	ω(1	ω(1	PROPN
ejpam-6467	273	6	)	)	PUNCT
ejpam-6467	273	7	]	]	PUNCT
ejpam-6467	274	1	+	+	CCONJ
ejpam-6467	274	2	[	[	PUNCT
ejpam-6467	274	3	(	(	PUNCT
ejpam-6467	274	4	ai	ai	VERB
ejpam-6467	274	5	γ	γ	X
ejpam-6467	274	6	,	,	PUNCT
ejpam-6467	274	7	ωfg	ωfg	NOUN
ejpam-6467	274	8	)	)	PUNCT
ejpam-6467	274	9	(	(	PUNCT
ejpam-6467	274	10	κ)][ai	κ)][ai	PROPN
ejpam-6467	274	11	γ	γ	X
ejpam-6467	274	12	,	,	PUNCT
ejpam-6467	274	13	ω(1	ω(1	PROPN
ejpam-6467	274	14	)	)	PUNCT
ejpam-6467	274	15	]	]	PUNCT
ejpam-6467	274	16	≥	≥	X
ejpam-6467	274	17	[	[	PUNCT
ejpam-6467	274	18	(	(	PUNCT
ejpam-6467	274	19	ai	ai	VERB
ejpam-6467	274	20	γ	γ	X
ejpam-6467	274	21	,	,	PUNCT
ejpam-6467	274	22	ωf	ωf	X
ejpam-6467	274	23	)	)	PUNCT
ejpam-6467	274	24	(	(	PUNCT
ejpam-6467	274	25	κ	κ	NOUN
ejpam-6467	274	26	)	)	PUNCT
ejpam-6467	274	27	]	]	PUNCT
ejpam-6467	274	28	.	.	PUNCT
ejpam-6467	275	1	[	[	PUNCT
ejpam-6467	275	2	(	(	PUNCT
ejpam-6467	275	3	ai	ai	VERB
ejpam-6467	275	4	γ	γ	PROPN
ejpam-6467	275	5	,	,	PUNCT
ejpam-6467	275	6	ωg	ωg	X
ejpam-6467	275	7	)	)	PUNCT
ejpam-6467	275	8	(	(	PUNCT
ejpam-6467	275	9	κ	κ	NOUN
ejpam-6467	275	10	)	)	PUNCT
ejpam-6467	275	11	+	+	CCONJ
ejpam-6467	275	12	[	[	PUNCT
ejpam-6467	275	13	(	(	PUNCT
ejpam-6467	275	14	ai	ai	VERB
ejpam-6467	275	15	γ	γ	X
ejpam-6467	275	16	,	,	PUNCT
ejpam-6467	275	17	ωf	ωf	X
ejpam-6467	275	18	)	)	PUNCT
ejpam-6467	275	19	(	(	PUNCT
ejpam-6467	275	20	κ	κ	NOUN
ejpam-6467	275	21	)	)	PUNCT
ejpam-6467	275	22	]	]	PUNCT
ejpam-6467	275	23	.	.	PUNCT
ejpam-6467	276	1	[	[	PUNCT
ejpam-6467	276	2	(	(	PUNCT
ejpam-6467	276	3	ai	ai	VERB
ejpam-6467	276	4	γ	γ	PROPN
ejpam-6467	276	5	,	,	PUNCT
ejpam-6467	276	6	ωg	ωg	X
ejpam-6467	276	7	)	)	PUNCT
ejpam-6467	276	8	(	(	PUNCT
ejpam-6467	276	9	κ	κ	NOUN
ejpam-6467	276	10	)	)	PUNCT
ejpam-6467	276	11	]	]	PUNCT
ejpam-6467	276	12	.	.	PUNCT
ejpam-6467	277	1	proof	proof	NOUN
ejpam-6467	277	2	.	.	PUNCT
ejpam-6467	278	1	letting	let	VERB
ejpam-6467	278	2	ξ	ξ	X
ejpam-6467	278	3	=	=	SYM
ejpam-6467	278	4	1	1	NUM
ejpam-6467	278	5	=	=	SYM
ejpam-6467	278	6	β	β	NOUN
ejpam-6467	278	7	in	in	ADP
ejpam-6467	278	8	theorem	theorem	ADJ
ejpam-6467	278	9	2	2	NUM
ejpam-6467	278	10	yields	yield	NOUN
ejpam-6467	278	11	the	the	DET
ejpam-6467	278	12	proof	proof	NOUN
ejpam-6467	278	13	of	of	ADP
ejpam-6467	278	14	corollary	corollary	ADJ
ejpam-6467	278	15	3	3	NUM
ejpam-6467	278	16	.	.	NOUN
ejpam-6467	278	17	5	5	NUM
ejpam-6467	278	18	.	.	X
ejpam-6467	278	19	conclusion	conclusion	VERB
ejpam-6467	278	20	the	the	DET
ejpam-6467	278	21	ω	ω	ADJ
ejpam-6467	278	22	-	-	PUNCT
ejpam-6467	278	23	proportional	proportional	ADJ
ejpam-6467	278	24	fractional	fractional	ADJ
ejpam-6467	278	25	integral	integral	NOUN
ejpam-6467	278	26	of	of	ADP
ejpam-6467	278	27	a	a	DET
ejpam-6467	278	28	function	function	NOUN
ejpam-6467	278	29	with	with	ADP
ejpam-6467	278	30	respect	respect	NOUN
ejpam-6467	278	31	to	to	ADP
ejpam-6467	278	32	another	another	DET
ejpam-6467	278	33	function	function	NOUN
ejpam-6467	278	34	,	,	PUNCT
ejpam-6467	278	35	in	in	ADP
ejpam-6467	278	36	conclusion	conclusion	NOUN
ejpam-6467	278	37	,	,	PUNCT
ejpam-6467	278	38	provides	provide	VERB
ejpam-6467	278	39	a	a	DET
ejpam-6467	278	40	strong	strong	ADJ
ejpam-6467	278	41	and	and	CCONJ
ejpam-6467	278	42	cohesive	cohesive	ADJ
ejpam-6467	278	43	framework	framework	NOUN
ejpam-6467	278	44	that	that	PRON
ejpam-6467	278	45	greatly	greatly	ADV
ejpam-6467	278	46	expands	expand	VERB
ejpam-6467	278	47	the	the	DET
ejpam-6467	278	48	current	current	ADJ
ejpam-6467	278	49	and	and	CCONJ
ejpam-6467	278	50	classical	classical	ADJ
ejpam-6467	278	51	fractional	fractional	ADJ
ejpam-6467	278	52	integral	integral	ADJ
ejpam-6467	278	53	operators	operator	NOUN
ejpam-6467	278	54	.	.	PUNCT
ejpam-6467	279	1	this	this	DET
ejpam-6467	279	2	innovative	innovative	ADJ
ejpam-6467	279	3	method	method	NOUN
ejpam-6467	279	4	expands	expand	VERB
ejpam-6467	279	5	the	the	DET
ejpam-6467	279	6	versatility	versatility	NOUN
ejpam-6467	279	7	and	and	CCONJ
ejpam-6467	279	8	usefulness	usefulness	NOUN
ejpam-6467	279	9	of	of	ADP
ejpam-6467	279	10	fractional	fractional	ADJ
ejpam-6467	279	11	calculus	calculus	NOUN
ejpam-6467	279	12	in	in	ADP
ejpam-6467	279	13	simulating	simulate	VERB
ejpam-6467	279	14	intricate	intricate	ADJ
ejpam-6467	279	15	,	,	PUNCT
ejpam-6467	279	16	nonlocal	nonlocal	ADJ
ejpam-6467	279	17	,	,	PUNCT
ejpam-6467	279	18	and	and	CCONJ
ejpam-6467	279	19	memorydependent	memorydependent	ADJ
ejpam-6467	279	20	events	event	NOUN
ejpam-6467	279	21	by	by	ADP
ejpam-6467	279	22	introducing	introduce	VERB
ejpam-6467	279	23	the	the	DET
ejpam-6467	279	24	proportionality	proportionality	NOUN
ejpam-6467	279	25	function	function	NOUN
ejpam-6467	279	26	ω	ω	NOUN
ejpam-6467	279	27	and	and	CCONJ
ejpam-6467	279	28	permitting	permit	VERB
ejpam-6467	279	29	integration	integration	NOUN
ejpam-6467	279	30	with	with	ADP
ejpam-6467	279	31	respect	respect	NOUN
ejpam-6467	279	32	to	to	ADP
ejpam-6467	279	33	another	another	DET
ejpam-6467	279	34	function	function	NOUN
ejpam-6467	279	35	.	.	PUNCT
ejpam-6467	280	1	in	in	ADP
ejpam-6467	280	2	addition	addition	NOUN
ejpam-6467	280	3	to	to	ADP
ejpam-6467	280	4	generalizing	generalize	VERB
ejpam-6467	280	5	well	well	ADV
ejpam-6467	280	6	-	-	PUNCT
ejpam-6467	280	7	known	know	VERB
ejpam-6467	280	8	theorems	theorem	NOUN
ejpam-6467	280	9	,	,	PUNCT
ejpam-6467	280	10	the	the	DET
ejpam-6467	280	11	recently	recently	ADV
ejpam-6467	280	12	developed	develop	VERB
ejpam-6467	280	13	integral	integral	ADJ
ejpam-6467	280	14	inequalities	inequality	NOUN
ejpam-6467	280	15	within	within	ADP
ejpam-6467	280	16	this	this	DET
ejpam-6467	280	17	framework	framework	NOUN
ejpam-6467	280	18	provide	provide	VERB
ejpam-6467	280	19	new	new	ADJ
ejpam-6467	280	20	opportunities	opportunity	NOUN
ejpam-6467	280	21	for	for	ADP
ejpam-6467	280	22	theoretical	theoretical	ADJ
ejpam-6467	280	23	investigation	investigation	NOUN
ejpam-6467	280	24	and	and	CCONJ
ejpam-6467	280	25	real	real	ADJ
ejpam-6467	280	26	-	-	PUNCT
ejpam-6467	280	27	world	world	NOUN
ejpam-6467	280	28	applications	application	NOUN
ejpam-6467	280	29	.	.	PUNCT
ejpam-6467	281	1	these	these	DET
ejpam-6467	281	2	contributions	contribution	NOUN
ejpam-6467	281	3	provide	provide	VERB
ejpam-6467	281	4	the	the	DET
ejpam-6467	281	5	foundation	foundation	NOUN
ejpam-6467	281	6	for	for	ADP
ejpam-6467	281	7	future	future	ADJ
ejpam-6467	281	8	study	study	NOUN
ejpam-6467	281	9	and	and	CCONJ
ejpam-6467	281	10	advancement	advancement	NOUN
ejpam-6467	281	11	in	in	ADP
ejpam-6467	281	12	the	the	DET
ejpam-6467	281	13	field	field	NOUN
ejpam-6467	281	14	by	by	ADP
ejpam-6467	281	15	offering	offer	VERB
ejpam-6467	281	16	strong	strong	ADJ
ejpam-6467	281	17	mathematical	mathematical	ADJ
ejpam-6467	281	18	tools	tool	NOUN
ejpam-6467	281	19	for	for	ADP
ejpam-6467	281	20	the	the	DET
ejpam-6467	281	21	analysis	analysis	NOUN
ejpam-6467	281	22	of	of	ADP
ejpam-6467	281	23	fractional	fractional	ADJ
ejpam-6467	281	24	differential	differential	ADJ
ejpam-6467	281	25	equations	equation	NOUN
ejpam-6467	281	26	and	and	CCONJ
ejpam-6467	281	27	the	the	DET
ejpam-6467	281	28	creation	creation	NOUN
ejpam-6467	281	29	of	of	ADP
ejpam-6467	281	30	more	more	ADV
ejpam-6467	281	31	precise	precise	ADJ
ejpam-6467	281	32	models	model	NOUN
ejpam-6467	281	33	in	in	ADP
ejpam-6467	281	34	a	a	DET
ejpam-6467	281	35	variety	variety	NOUN
ejpam-6467	281	36	of	of	ADP
ejpam-6467	281	37	scientific	scientific	ADJ
ejpam-6467	281	38	and	and	CCONJ
ejpam-6467	281	39	technical	technical	ADJ
ejpam-6467	281	40	fields	field	NOUN
ejpam-6467	281	41	.	.	PUNCT
ejpam-6467	282	1	authors	author	NOUN
ejpam-6467	282	2	’	'	PUNCT
ejpam-6467	282	3	contributions	contribution	NOUN
ejpam-6467	282	4	all	all	DET
ejpam-6467	282	5	authors	author	NOUN
ejpam-6467	282	6	contribute	contribute	VERB
ejpam-6467	282	7	equally	equally	ADV
ejpam-6467	282	8	in	in	ADP
ejpam-6467	282	9	this	this	DET
ejpam-6467	282	10	paper	paper	NOUN
ejpam-6467	282	11	.	.	PUNCT
ejpam-6467	283	1	j.	j.	PROPN
ejpam-6467	283	2	nasir	nasir	PROPN
ejpam-6467	283	3	,	,	PUNCT
ejpam-6467	283	4	h.	h.	PROPN
ejpam-6467	283	5	qawaqneh	qawaqneh	PROPN
ejpam-6467	283	6	,	,	PUNCT
ejpam-6467	283	7	h.	h.	PROPN
ejpam-6467	283	8	aydi	aydi	VERB
ejpam-6467	283	9	/	/	SYM
ejpam-6467	283	10	eur	eur	NOUN
ejpam-6467	283	11	.	.	PUNCT
ejpam-6467	284	1	j.	j.	PROPN
ejpam-6467	284	2	pure	pure	PROPN
ejpam-6467	284	3	appl	appl	PROPN
ejpam-6467	284	4	.	.	PROPN
ejpam-6467	284	5	math	math	PROPN
ejpam-6467	284	6	,	,	PUNCT
ejpam-6467	284	7	18	18	NUM
ejpam-6467	284	8	(	(	PUNCT
ejpam-6467	284	9	3	3	NUM
ejpam-6467	284	10	)	)	PUNCT
ejpam-6467	284	11	(	(	PUNCT
ejpam-6467	284	12	2025	2025	NUM
ejpam-6467	284	13	)	)	PUNCT
ejpam-6467	284	14	,	,	PUNCT
ejpam-6467	284	15	6467	6467	NUM
ejpam-6467	284	16	14	14	NUM
ejpam-6467	284	17	of	of	ADP
ejpam-6467	284	18	16	16	NUM
ejpam-6467	284	19	conflict	conflict	NOUN
ejpam-6467	284	20	of	of	ADP
ejpam-6467	284	21	interest	interest	NOUN
ejpam-6467	284	22	the	the	DET
ejpam-6467	284	23	authors	author	NOUN
ejpam-6467	284	24	declare	declare	VERB
ejpam-6467	284	25	that	that	SCONJ
ejpam-6467	284	26	they	they	PRON
ejpam-6467	284	27	have	have	VERB
ejpam-6467	284	28	no	no	DET
ejpam-6467	284	29	conflict	conflict	NOUN
ejpam-6467	284	30	of	of	ADP
ejpam-6467	284	31	interest	interest	NOUN
ejpam-6467	284	32	.	.	PUNCT
ejpam-6467	285	1	acknowledgements	acknowledgement	NOUN
ejpam-6467	285	2	the	the	DET
ejpam-6467	285	3	authors	author	NOUN
ejpam-6467	285	4	acknowledge	acknowledge	VERB
ejpam-6467	285	5	the	the	DET
ejpam-6467	285	6	financial	financial	ADJ
ejpam-6467	285	7	support	support	NOUN
ejpam-6467	285	8	from	from	ADP
ejpam-6467	285	9	al	al	PROPN
ejpam-6467	285	10	-	-	PROPN
ejpam-6467	285	11	zaytoonah	zaytoonah	PROPN
ejpam-6467	285	12	university	university	PROPN
ejpam-6467	285	13	of	of	ADP
ejpam-6467	285	14	jordan	jordan	PROPN
ejpam-6467	285	15	,	,	PUNCT
ejpam-6467	285	16	amman	amman	PROPN
ejpam-6467	285	17	11733	11733	NUM
ejpam-6467	285	18	,	,	PUNCT
ejpam-6467	285	19	jordan	jordan	PROPN
ejpam-6467	285	20	.	.	PUNCT
ejpam-6467	286	1	references	reference	NOUN
ejpam-6467	286	2	[	[	X
ejpam-6467	286	3	1	1	NUM
ejpam-6467	286	4	]	]	X
ejpam-6467	286	5	g	g	PROPN
ejpam-6467	286	6	rahman	rahman	PROPN
ejpam-6467	286	7	,	,	PUNCT
ejpam-6467	286	8	a	a	DET
ejpam-6467	286	9	khan	khan	PROPN
ejpam-6467	286	10	,	,	PUNCT
ejpam-6467	286	11	t	t	PROPN
ejpam-6467	286	12	abdeljawad	abdeljawad	NOUN
ejpam-6467	286	13	and	and	CCONJ
ejpam-6467	286	14	k	k	PROPN
ejpam-6467	286	15	s	s	VERB
ejpam-6467	286	16	nisar	nisar	PROPN
ejpam-6467	286	17	,	,	PUNCT
ejpam-6467	286	18	the	the	DET
ejpam-6467	286	19	minkowski	minkowski	ADJ
ejpam-6467	286	20	inequalities	inequality	NOUN
ejpam-6467	286	21	via	via	ADP
ejpam-6467	286	22	generalized	generalized	ADJ
ejpam-6467	286	23	proportional	proportional	ADJ
ejpam-6467	286	24	fractional	fractional	ADJ
ejpam-6467	286	25	integral	integral	ADJ
ejpam-6467	286	26	operators	operator	NOUN
ejpam-6467	286	27	,	,	PUNCT
ejpam-6467	286	28	advances	advance	NOUN
ejpam-6467	286	29	in	in	ADP
ejpam-6467	286	30	difference	difference	NOUN
ejpam-6467	286	31	equations	equation	NOUN
ejpam-6467	286	32	,	,	PUNCT
ejpam-6467	286	33	2019	2019	NUM
ejpam-6467	286	34	,	,	PUNCT
ejpam-6467	286	35	1	1	NUM
ejpam-6467	286	36	-	-	SYM
ejpam-6467	286	37	14	14	NUM
ejpam-6467	286	38	,	,	PUNCT
ejpam-6467	286	39	(	(	PUNCT
ejpam-6467	286	40	2019	2019	NUM
ejpam-6467	286	41	)	)	PUNCT
ejpam-6467	286	42	.	.	PUNCT
ejpam-6467	287	1	[	[	X
ejpam-6467	287	2	2	2	NUM
ejpam-6467	287	3	]	]	SYM
ejpam-6467	287	4	s	s	PART
ejpam-6467	287	5	s	s	X
ejpam-6467	287	6	zhou	zhou	PROPN
ejpam-6467	287	7	,	,	PUNCT
ejpam-6467	287	8	s	s	PART
ejpam-6467	287	9	rashid	rashid	PROPN
ejpam-6467	287	10	,	,	PUNCT
ejpam-6467	287	11	s	s	PROPN
ejpam-6467	287	12	parveen	parveen	PROPN
ejpam-6467	287	13	,	,	PUNCT
ejpam-6467	287	14	a	a	DET
ejpam-6467	287	15	o	o	X
ejpam-6467	287	16	akdemir	akdemir	NOUN
ejpam-6467	287	17	and	and	CCONJ
ejpam-6467	287	18	z	z	PROPN
ejpam-6467	287	19	hammouch	hammouch	ADJ
ejpam-6467	287	20	,	,	PUNCT
ejpam-6467	287	21	new	new	ADJ
ejpam-6467	287	22	computations	computation	NOUN
ejpam-6467	287	23	for	for	ADP
ejpam-6467	287	24	extended	extended	ADJ
ejpam-6467	287	25	weighted	weight	VERB
ejpam-6467	287	26	functionals	functional	NOUN
ejpam-6467	287	27	within	within	ADP
ejpam-6467	287	28	the	the	DET
ejpam-6467	287	29	hilfer	hilfer	NOUN
ejpam-6467	287	30	generalized	generalize	VERB
ejpam-6467	287	31	proportional	proportional	ADJ
ejpam-6467	287	32	fractional	fractional	ADJ
ejpam-6467	287	33	integral	integral	ADJ
ejpam-6467	287	34	operators	operator	NOUN
ejpam-6467	287	35	,	,	PUNCT
ejpam-6467	287	36	aims	aim	VERB
ejpam-6467	287	37	math	math	NOUN
ejpam-6467	287	38	,	,	PUNCT
ejpam-6467	287	39	6(5	6(5	NUM
ejpam-6467	287	40	)	)	PUNCT
ejpam-6467	287	41	,	,	PUNCT
ejpam-6467	287	42	4507	4507	NUM
ejpam-6467	287	43	-	-	SYM
ejpam-6467	287	44	4525	4525	NUM
ejpam-6467	287	45	,	,	PUNCT
ejpam-6467	287	46	(	(	PUNCT
ejpam-6467	287	47	2021	2021	NUM
ejpam-6467	287	48	)	)	PUNCT
ejpam-6467	287	49	.	.	PUNCT
ejpam-6467	288	1	[	[	X
ejpam-6467	288	2	3	3	NUM
ejpam-6467	288	3	]	]	X
ejpam-6467	288	4	s	s	PART
ejpam-6467	288	5	rashid	rashid	PROPN
ejpam-6467	288	6	,	,	PUNCT
ejpam-6467	288	7	z	z	NOUN
ejpam-6467	288	8	hammouch	hammouch	NOUN
ejpam-6467	288	9	,	,	PUNCT
ejpam-6467	288	10	f	f	PROPN
ejpam-6467	288	11	jarad	jarad	PROPN
ejpam-6467	288	12	and	and	CCONJ
ejpam-6467	288	13	y	y	PROPN
ejpam-6467	288	14	m	m	PROPN
ejpam-6467	288	15	chu	chu	PROPN
ejpam-6467	288	16	,	,	PUNCT
ejpam-6467	288	17	new	new	ADJ
ejpam-6467	288	18	estimates	estimate	NOUN
ejpam-6467	288	19	of	of	ADP
ejpam-6467	288	20	integral	integral	ADJ
ejpam-6467	288	21	inequalities	inequality	NOUN
ejpam-6467	288	22	via	via	ADP
ejpam-6467	288	23	generalized	generalized	ADJ
ejpam-6467	288	24	proportional	proportional	ADJ
ejpam-6467	288	25	fractional	fractional	ADJ
ejpam-6467	288	26	integral	integral	ADJ
ejpam-6467	288	27	operator	operator	NOUN
ejpam-6467	288	28	with	with	ADP
ejpam-6467	288	29	respect	respect	NOUN
ejpam-6467	288	30	to	to	ADP
ejpam-6467	288	31	another	another	DET
ejpam-6467	288	32	function	function	NOUN
ejpam-6467	288	33	,	,	PUNCT
ejpam-6467	288	34	fractals	fractal	NOUN
ejpam-6467	288	35	,	,	PUNCT
ejpam-6467	288	36	28(08	28(08	NUM
ejpam-6467	288	37	)	)	PUNCT
ejpam-6467	288	38	,	,	PUNCT
ejpam-6467	288	39	2040027	2040027	NUM
ejpam-6467	288	40	,	,	PUNCT
ejpam-6467	288	41	(	(	PUNCT
ejpam-6467	288	42	2020	2020	NUM
ejpam-6467	288	43	)	)	PUNCT
ejpam-6467	288	44	.	.	PUNCT
ejpam-6467	289	1	[	[	X
ejpam-6467	289	2	4	4	NUM
ejpam-6467	289	3	]	]	X
ejpam-6467	289	4	d	d	NOUN
ejpam-6467	289	5	r	r	PROPN
ejpam-6467	289	6	anderson	anderson	PROPN
ejpam-6467	289	7	,	,	PUNCT
ejpam-6467	289	8	second	second	ADJ
ejpam-6467	289	9	-	-	PUNCT
ejpam-6467	289	10	order	order	NOUN
ejpam-6467	289	11	self	self	NOUN
ejpam-6467	289	12	-	-	PUNCT
ejpam-6467	289	13	adjoint	adjoint	NOUN
ejpam-6467	289	14	differential	differential	ADJ
ejpam-6467	289	15	equations	equation	NOUN
ejpam-6467	289	16	using	use	VERB
ejpam-6467	289	17	a	a	DET
ejpam-6467	289	18	proportionalderivative	proportionalderivative	ADJ
ejpam-6467	289	19	controller	controller	NOUN
ejpam-6467	289	20	,	,	PUNCT
ejpam-6467	289	21	communications	communication	NOUN
ejpam-6467	289	22	on	on	ADP
ejpam-6467	289	23	applied	apply	VERB
ejpam-6467	289	24	nonlinear	nonlinear	ADJ
ejpam-6467	289	25	analysis	analysis	NOUN
ejpam-6467	289	26	,	,	PUNCT
ejpam-6467	289	27	24	24	NUM
ejpam-6467	289	28	,	,	PUNCT
ejpam-6467	289	29	17–48	17–48	NUM
ejpam-6467	289	30	,	,	PUNCT
ejpam-6467	289	31	(	(	PUNCT
ejpam-6467	289	32	2017	2017	NUM
ejpam-6467	289	33	)	)	PUNCT
ejpam-6467	289	34	.	.	PUNCT
ejpam-6467	290	1	[	[	X
ejpam-6467	290	2	5	5	X
ejpam-6467	290	3	]	]	PUNCT
ejpam-6467	290	4	m	m	VERB
ejpam-6467	290	5	jleli	jleli	ADJ
ejpam-6467	290	6	and	and	CCONJ
ejpam-6467	290	7	b	b	X
ejpam-6467	290	8	samet	samet	NOUN
ejpam-6467	290	9	,	,	PUNCT
ejpam-6467	290	10	on	on	ADP
ejpam-6467	290	11	hermite	hermite	ADJ
ejpam-6467	290	12	-	-	PUNCT
ejpam-6467	290	13	hadamard	hadamard	ADJ
ejpam-6467	290	14	type	type	NOUN
ejpam-6467	290	15	inequalities	inequality	NOUN
ejpam-6467	290	16	via	via	ADP
ejpam-6467	290	17	fractional	fractional	ADJ
ejpam-6467	290	18	integrals	integral	NOUN
ejpam-6467	290	19	of	of	ADP
ejpam-6467	290	20	a	a	DET
ejpam-6467	290	21	function	function	NOUN
ejpam-6467	290	22	with	with	ADP
ejpam-6467	290	23	respect	respect	NOUN
ejpam-6467	290	24	to	to	ADP
ejpam-6467	290	25	another	another	DET
ejpam-6467	290	26	function	function	NOUN
ejpam-6467	290	27	,	,	PUNCT
ejpam-6467	290	28	journal	journal	NOUN
ejpam-6467	290	29	of	of	ADP
ejpam-6467	290	30	nonlinear	nonlinear	PROPN
ejpam-6467	290	31	sciences	sciences	PROPN
ejpam-6467	290	32	and	and	CCONJ
ejpam-6467	290	33	applications	application	NOUN
ejpam-6467	290	34	,	,	PUNCT
ejpam-6467	290	35	9(3	9(3	NUM
ejpam-6467	290	36	)	)	PUNCT
ejpam-6467	290	37	,	,	PUNCT
ejpam-6467	290	38	1252	1252	NUM
ejpam-6467	290	39	-	-	SYM
ejpam-6467	290	40	1260	1260	NUM
ejpam-6467	290	41	,	,	PUNCT
ejpam-6467	290	42	(	(	PUNCT
ejpam-6467	290	43	2016	2016	NUM
ejpam-6467	290	44	)	)	PUNCT
ejpam-6467	290	45	.	.	PUNCT
ejpam-6467	291	1	[	[	X
ejpam-6467	291	2	6	6	NUM
ejpam-6467	291	3	]	]	PUNCT
ejpam-6467	291	4	t	t	PROPN
ejpam-6467	291	5	a	a	DET
ejpam-6467	291	6	aljaaidi	aljaaidi	VERB
ejpam-6467	291	7	and	and	CCONJ
ejpam-6467	291	8	d	d	NOUN
ejpam-6467	291	9	b	b	PROPN
ejpam-6467	291	10	pachpatte	pachpatte	NOUN
ejpam-6467	291	11	,	,	PUNCT
ejpam-6467	291	12	the	the	DET
ejpam-6467	291	13	hermite	hermite	PROPN
ejpam-6467	291	14	–	–	PUNCT
ejpam-6467	291	15	hadamard	hadamard	ADJ
ejpam-6467	291	16	–	–	PUNCT
ejpam-6467	291	17	mercer	mercer	NOUN
ejpam-6467	291	18	type	type	NOUN
ejpam-6467	291	19	inequalities	inequality	NOUN
ejpam-6467	291	20	via	via	ADP
ejpam-6467	291	21	generalized	generalized	ADJ
ejpam-6467	291	22	proportional	proportional	ADJ
ejpam-6467	291	23	fractional	fractional	ADJ
ejpam-6467	291	24	integral	integral	ADJ
ejpam-6467	291	25	concerning	concern	VERB
ejpam-6467	291	26	another	another	DET
ejpam-6467	291	27	function	function	NOUN
ejpam-6467	291	28	,	,	PUNCT
ejpam-6467	291	29	international	international	ADJ
ejpam-6467	291	30	journal	journal	NOUN
ejpam-6467	291	31	of	of	ADP
ejpam-6467	291	32	mathematics	mathematics	PROPN
ejpam-6467	291	33	and	and	CCONJ
ejpam-6467	291	34	mathematical	mathematical	ADJ
ejpam-6467	291	35	sciences	science	NOUN
ejpam-6467	291	36	,	,	PUNCT
ejpam-6467	291	37	2022(1	2022(1	NUM
ejpam-6467	291	38	)	)	PUNCT
ejpam-6467	291	39	,	,	PUNCT
ejpam-6467	291	40	6716830	6716830	NUM
ejpam-6467	291	41	,	,	PUNCT
ejpam-6467	291	42	(	(	PUNCT
ejpam-6467	291	43	2022	2022	NUM
ejpam-6467	291	44	)	)	PUNCT
ejpam-6467	291	45	.	.	PUNCT
ejpam-6467	292	1	[	[	X
ejpam-6467	292	2	7	7	X
ejpam-6467	292	3	]	]	X
ejpam-6467	292	4	c	c	PROPN
ejpam-6467	292	5	m	m	PROPN
ejpam-6467	292	6	s	s	PROPN
ejpam-6467	292	7	oumarou	oumarou	NOUN
ejpam-6467	292	8	,	,	PUNCT
ejpam-6467	292	9	h	h	PROPN
ejpam-6467	292	10	m	m	PROPN
ejpam-6467	292	11	fahad	fahad	ADJ
ejpam-6467	292	12	,	,	PUNCT
ejpam-6467	292	13	j	j	PROPN
ejpam-6467	292	14	d	d	PROPN
ejpam-6467	292	15	djida	djida	PROPN
ejpam-6467	292	16	and	and	CCONJ
ejpam-6467	292	17	a	a	DET
ejpam-6467	292	18	fernandez	fernandez	NOUN
ejpam-6467	292	19	,	,	PUNCT
ejpam-6467	292	20	on	on	ADP
ejpam-6467	292	21	fractional	fractional	ADJ
ejpam-6467	292	22	calculus	calculus	NOUN
ejpam-6467	292	23	with	with	ADP
ejpam-6467	292	24	analytic	analytic	ADJ
ejpam-6467	292	25	kernels	kernel	NOUN
ejpam-6467	292	26	with	with	ADP
ejpam-6467	292	27	respect	respect	NOUN
ejpam-6467	292	28	to	to	ADP
ejpam-6467	292	29	functions	function	NOUN
ejpam-6467	292	30	,	,	PUNCT
ejpam-6467	292	31	computational	computational	ADJ
ejpam-6467	292	32	and	and	CCONJ
ejpam-6467	292	33	applied	applied	ADJ
ejpam-6467	292	34	mathematics	mathematic	NOUN
ejpam-6467	292	35	,	,	PUNCT
ejpam-6467	292	36	40	40	NUM
ejpam-6467	292	37	,	,	PUNCT
ejpam-6467	292	38	1	1	NUM
ejpam-6467	292	39	-	-	SYM
ejpam-6467	292	40	24	24	NUM
ejpam-6467	292	41	,	,	PUNCT
ejpam-6467	292	42	(	(	PUNCT
ejpam-6467	292	43	2021	2021	NUM
ejpam-6467	292	44	)	)	PUNCT
ejpam-6467	292	45	.	.	PUNCT
ejpam-6467	293	1	[	[	X
ejpam-6467	293	2	8	8	NUM
ejpam-6467	293	3	]	]	SYM
ejpam-6467	293	4	s	s	PART
ejpam-6467	293	5	t	t	NOUN
ejpam-6467	293	6	thabet	thabet	NOUN
ejpam-6467	293	7	,	,	PUNCT
ejpam-6467	293	8	m	m	VERB
ejpam-6467	293	9	vivas	vivas	NOUN
ejpam-6467	293	10	-	-	NOUN
ejpam-6467	293	11	cortez	cortez	PROPN
ejpam-6467	293	12	and	and	CCONJ
ejpam-6467	293	13	i	i	PROPN
ejpam-6467	293	14	kedim	kedim	NOUN
ejpam-6467	293	15	,	,	PUNCT
ejpam-6467	293	16	analytical	analytical	ADJ
ejpam-6467	293	17	study	study	NOUN
ejpam-6467	293	18	of	of	ADP
ejpam-6467	293	19	abc	abc	PROPN
ejpam-6467	293	20	-	-	PUNCT
ejpam-6467	293	21	fractional	fractional	ADJ
ejpam-6467	293	22	pantograph	pantograph	NOUN
ejpam-6467	293	23	implicit	implicit	ADJ
ejpam-6467	293	24	differential	differential	ADJ
ejpam-6467	293	25	equation	equation	NOUN
ejpam-6467	293	26	with	with	ADP
ejpam-6467	293	27	respect	respect	NOUN
ejpam-6467	293	28	to	to	ADP
ejpam-6467	293	29	another	another	DET
ejpam-6467	293	30	function	function	NOUN
ejpam-6467	293	31	,	,	PUNCT
ejpam-6467	293	32	aims	aim	VERB
ejpam-6467	293	33	math	math	NOUN
ejpam-6467	293	34	,	,	PUNCT
ejpam-6467	293	35	8(10	8(10	NUM
ejpam-6467	293	36	)	)	PUNCT
ejpam-6467	293	37	,	,	PUNCT
ejpam-6467	293	38	23635	23635	NUM
ejpam-6467	293	39	-	-	SYM
ejpam-6467	293	40	23654	23654	NUM
ejpam-6467	293	41	,	,	PUNCT
ejpam-6467	293	42	(	(	PUNCT
ejpam-6467	293	43	2023	2023	NUM
ejpam-6467	293	44	)	)	PUNCT
ejpam-6467	293	45	.	.	PUNCT
ejpam-6467	294	1	[	[	X
ejpam-6467	294	2	9	9	NUM
ejpam-6467	294	3	]	]	X
ejpam-6467	294	4	i	i	PRON
ejpam-6467	294	5	m	m	AUX
ejpam-6467	294	6	batiha	batiha	VERB
ejpam-6467	294	7	,	,	PUNCT
ejpam-6467	294	8	s	s	VERB
ejpam-6467	294	9	a	a	DET
ejpam-6467	294	10	njadat	njadat	NOUN
ejpam-6467	294	11	,	,	PUNCT
ejpam-6467	294	12	r	r	NOUN
ejpam-6467	294	13	m	m	NOUN
ejpam-6467	294	14	batyha	batyha	NOUN
ejpam-6467	294	15	,	,	PUNCT
ejpam-6467	294	16	a	a	DET
ejpam-6467	294	17	zraiqat	zraiqat	NOUN
ejpam-6467	294	18	,	,	PUNCT
ejpam-6467	294	19	a.	a.	NOUN
ejpam-6467	294	20	dababneh	dababneh	PROPN
ejpam-6467	294	21	and	and	CCONJ
ejpam-6467	294	22	sh	sh	PROPN
ejpam-6467	294	23	.	.	PROPN
ejpam-6467	294	24	momani	momani	PROPN
ejpam-6467	294	25	,	,	PUNCT
ejpam-6467	294	26	design	design	NOUN
ejpam-6467	294	27	fractional	fractional	ADJ
ejpam-6467	294	28	-	-	PUNCT
ejpam-6467	294	29	order	order	NOUN
ejpam-6467	294	30	pid	pid	NOUN
ejpam-6467	294	31	controllers	controller	NOUN
ejpam-6467	294	32	for	for	ADP
ejpam-6467	294	33	single	single	ADJ
ejpam-6467	294	34	-	-	PUNCT
ejpam-6467	294	35	joint	joint	ADJ
ejpam-6467	294	36	robot	robot	NOUN
ejpam-6467	294	37	arm	arm	NOUN
ejpam-6467	294	38	model	model	NOUN
ejpam-6467	294	39	,	,	PUNCT
ejpam-6467	294	40	international	international	ADJ
ejpam-6467	294	41	journal	journal	NOUN
ejpam-6467	294	42	of	of	ADP
ejpam-6467	294	43	advances	advance	NOUN
ejpam-6467	294	44	in	in	ADP
ejpam-6467	294	45	soft	soft	ADJ
ejpam-6467	294	46	computing	computing	NOUN
ejpam-6467	294	47	and	and	CCONJ
ejpam-6467	294	48	its	its	PRON
ejpam-6467	294	49	applications	application	NOUN
ejpam-6467	294	50	,	,	PUNCT
ejpam-6467	294	51	14(2	14(2	NUM
ejpam-6467	294	52	)	)	PUNCT
ejpam-6467	294	53	,	,	PUNCT
ejpam-6467	294	54	2022	2022	NUM
ejpam-6467	294	55	,	,	PUNCT
ejpam-6467	294	56	96	96	NUM
ejpam-6467	294	57	-	-	SYM
ejpam-6467	294	58	114	114	NUM
ejpam-6467	294	59	,	,	PUNCT
ejpam-6467	294	60	(	(	PUNCT
ejpam-6467	294	61	2022	2022	NUM
ejpam-6467	294	62	)	)	PUNCT
ejpam-6467	294	63	.	.	PUNCT
ejpam-6467	295	1	[	[	X
ejpam-6467	295	2	10	10	NUM
ejpam-6467	295	3	]	]	X
ejpam-6467	295	4	m	m	VERB
ejpam-6467	295	5	elbes	elbe	NOUN
ejpam-6467	295	6	,	,	PUNCT
ejpam-6467	295	7	t	t	PROPN
ejpam-6467	295	8	kanan	kanan	PROPN
ejpam-6467	295	9	,	,	PUNCT
ejpam-6467	295	10	m	m	NOUN
ejpam-6467	295	11	alia	alia	ADJ
ejpam-6467	295	12	and	and	CCONJ
ejpam-6467	295	13	m	m	PROPN
ejpam-6467	295	14	ziad	ziad	PROPN
ejpam-6467	295	15	,	,	PUNCT
ejpam-6467	295	16	covd-19	covd-19	PROPN
ejpam-6467	295	17	detection	detection	NOUN
ejpam-6467	295	18	platform	platform	NOUN
ejpam-6467	295	19	from	from	ADP
ejpam-6467	295	20	x	x	ADJ
ejpam-6467	295	21	-	-	NOUN
ejpam-6467	295	22	ray	ray	NOUN
ejpam-6467	295	23	images	image	NOUN
ejpam-6467	295	24	using	use	VERB
ejpam-6467	295	25	deep	deep	ADJ
ejpam-6467	295	26	learning	learning	NOUN
ejpam-6467	295	27	,	,	PUNCT
ejpam-6467	295	28	international	international	ADJ
ejpam-6467	295	29	journal	journal	NOUN
ejpam-6467	295	30	of	of	ADP
ejpam-6467	295	31	advances	advance	NOUN
ejpam-6467	295	32	in	in	ADP
ejpam-6467	295	33	soft	soft	ADJ
ejpam-6467	295	34	computing	computing	NOUN
ejpam-6467	295	35	and	and	CCONJ
ejpam-6467	295	36	its	its	PRON
ejpam-6467	295	37	applications	application	NOUN
ejpam-6467	295	38	,	,	PUNCT
ejpam-6467	295	39	14(1	14(1	NUM
ejpam-6467	295	40	)	)	PUNCT
ejpam-6467	295	41	,	,	PUNCT
ejpam-6467	295	42	(	(	PUNCT
ejpam-6467	295	43	2022	2022	NUM
ejpam-6467	295	44	)	)	PUNCT
ejpam-6467	295	45	.	.	PUNCT
ejpam-6467	296	1	j.	j.	PROPN
ejpam-6467	296	2	nasir	nasir	PROPN
ejpam-6467	296	3	,	,	PUNCT
ejpam-6467	296	4	h.	h.	PROPN
ejpam-6467	296	5	qawaqneh	qawaqneh	PROPN
ejpam-6467	296	6	,	,	PUNCT
ejpam-6467	296	7	h.	h.	PROPN
ejpam-6467	296	8	aydi	aydi	VERB
ejpam-6467	296	9	/	/	SYM
ejpam-6467	296	10	eur	eur	NOUN
ejpam-6467	296	11	.	.	PUNCT
ejpam-6467	297	1	j.	j.	PROPN
ejpam-6467	297	2	pure	pure	PROPN
ejpam-6467	297	3	appl	appl	PROPN
ejpam-6467	297	4	.	.	PROPN
ejpam-6467	297	5	math	math	PROPN
ejpam-6467	297	6	,	,	PUNCT
ejpam-6467	297	7	18	18	NUM
ejpam-6467	297	8	(	(	PUNCT
ejpam-6467	297	9	3	3	NUM
ejpam-6467	297	10	)	)	PUNCT
ejpam-6467	297	11	(	(	PUNCT
ejpam-6467	297	12	2025	2025	NUM
ejpam-6467	297	13	)	)	PUNCT
ejpam-6467	297	14	,	,	PUNCT
ejpam-6467	297	15	6467	6467	NUM
ejpam-6467	297	16	15	15	NUM
ejpam-6467	297	17	of	of	ADP
ejpam-6467	297	18	16	16	NUM
ejpam-6467	298	1	[	[	X
ejpam-6467	298	2	11	11	NUM
ejpam-6467	298	3	]	]	PUNCT
ejpam-6467	298	4	t	t	PROPN
ejpam-6467	298	5	kanan	kanan	PROPN
ejpam-6467	298	6	,	,	PUNCT
ejpam-6467	298	7	m	m	VERB
ejpam-6467	298	8	elbes	elbe	NOUN
ejpam-6467	298	9	,	,	PUNCT
ejpam-6467	298	10	k	k	PROPN
ejpam-6467	298	11	abu	abu	PROPN
ejpam-6467	298	12	maria	maria	PROPN
ejpam-6467	298	13	and	and	CCONJ
ejpam-6467	298	14	m	m	PROPN
ejpam-6467	298	15	alia	alia	ADJ
ejpam-6467	298	16	,	,	PUNCT
ejpam-6467	298	17	exploring	explore	VERB
ejpam-6467	298	18	the	the	DET
ejpam-6467	298	19	potential	potential	NOUN
ejpam-6467	298	20	of	of	ADP
ejpam-6467	298	21	iotbased	iotbase	VERB
ejpam-6467	298	22	learning	learn	VERB
ejpam-6467	298	23	environments	environment	NOUN
ejpam-6467	298	24	in	in	ADP
ejpam-6467	298	25	education	education	NOUN
ejpam-6467	298	26	,	,	PUNCT
ejpam-6467	298	27	international	international	ADJ
ejpam-6467	298	28	journal	journal	NOUN
ejpam-6467	298	29	of	of	ADP
ejpam-6467	298	30	advances	advance	NOUN
ejpam-6467	298	31	in	in	ADP
ejpam-6467	298	32	soft	soft	ADJ
ejpam-6467	298	33	computing	computing	NOUN
ejpam-6467	298	34	and	and	CCONJ
ejpam-6467	298	35	its	its	PRON
ejpam-6467	298	36	applications	application	NOUN
ejpam-6467	298	37	,	,	PUNCT
ejpam-6467	298	38	15(2	15(2	NUM
ejpam-6467	298	39	)	)	PUNCT
ejpam-6467	298	40	,	,	PUNCT
ejpam-6467	298	41	(	(	PUNCT
ejpam-6467	298	42	2023	2023	NUM
ejpam-6467	298	43	)	)	PUNCT
ejpam-6467	298	44	.	.	PUNCT
ejpam-6467	299	1	[	[	X
ejpam-6467	299	2	12	12	NUM
ejpam-6467	299	3	]	]	PUNCT
ejpam-6467	299	4	a	a	DET
ejpam-6467	299	5	akkurt	akkurt	NOUN
ejpam-6467	299	6	,	,	PUNCT
ejpam-6467	299	7	m	m	PROPN
ejpam-6467	299	8	e	e	NOUN
ejpam-6467	299	9	yildirim	yildirim	NOUN
ejpam-6467	299	10	and	and	CCONJ
ejpam-6467	299	11	h	h	PROPN
ejpam-6467	299	12	y	y	PROPN
ejpam-6467	299	13	yildirim	yildirim	PROPN
ejpam-6467	299	14	,	,	PUNCT
ejpam-6467	299	15	on	on	ADP
ejpam-6467	299	16	some	some	DET
ejpam-6467	299	17	integral	integral	ADJ
ejpam-6467	299	18	inequalities	inequality	NOUN
ejpam-6467	299	19	for	for	ADP
ejpam-6467	299	20	(	(	PUNCT
ejpam-6467	299	21	k	k	X
ejpam-6467	299	22	,	,	PUNCT
ejpam-6467	299	23	h)−	h)−	PROPN
ejpam-6467	299	24	riemann	riemann	PROPN
ejpam-6467	299	25	-	-	PUNCT
ejpam-6467	299	26	liouville	liouville	VERB
ejpam-6467	299	27	fractional	fractional	ADJ
ejpam-6467	299	28	integral	integral	ADJ
ejpam-6467	299	29	,	,	PUNCT
ejpam-6467	299	30	new	new	ADJ
ejpam-6467	299	31	trends	trend	NOUN
ejpam-6467	299	32	in	in	ADP
ejpam-6467	299	33	mathematical	mathematical	ADJ
ejpam-6467	299	34	sciences	science	NOUN
ejpam-6467	299	35	,	,	PUNCT
ejpam-6467	299	36	4(2	4(2	NUM
ejpam-6467	299	37	)	)	PUNCT
ejpam-6467	299	38	,	,	PUNCT
ejpam-6467	299	39	138	138	NUM
ejpam-6467	299	40	-	-	SYM
ejpam-6467	299	41	146	146	NUM
ejpam-6467	299	42	,	,	PUNCT
ejpam-6467	299	43	(	(	PUNCT
ejpam-6467	299	44	2016	2016	NUM
ejpam-6467	299	45	)	)	PUNCT
ejpam-6467	299	46	.	.	PUNCT
ejpam-6467	300	1	[	[	X
ejpam-6467	300	2	13	13	NUM
ejpam-6467	300	3	]	]	PUNCT
ejpam-6467	300	4	ç	ç	ADP
ejpam-6467	300	5	yıldız	yıldız	PROPN
ejpam-6467	300	6	,	,	PUNCT
ejpam-6467	300	7	and	and	CCONJ
ejpam-6467	300	8	m	m	PROPN
ejpam-6467	300	9	gürbüz	gürbüz	PROPN
ejpam-6467	300	10	,	,	PUNCT
ejpam-6467	300	11	certain	certain	ADJ
ejpam-6467	300	12	weighted	weight	VERB
ejpam-6467	300	13	fractional	fractional	ADJ
ejpam-6467	300	14	integral	integral	ADJ
ejpam-6467	300	15	inequalities	inequality	NOUN
ejpam-6467	300	16	for	for	ADP
ejpam-6467	300	17	convex	convex	NOUN
ejpam-6467	300	18	functions	function	NOUN
ejpam-6467	300	19	,	,	PUNCT
ejpam-6467	300	20	authorea	authorea	ADJ
ejpam-6467	300	21	preprints	preprint	NOUN
ejpam-6467	300	22	,	,	PUNCT
ejpam-6467	300	23	(	(	PUNCT
ejpam-6467	300	24	2024	2024	NUM
ejpam-6467	300	25	)	)	PUNCT
ejpam-6467	300	26	.	.	PUNCT
ejpam-6467	301	1	[	[	X
ejpam-6467	301	2	14	14	NUM
ejpam-6467	301	3	]	]	X
ejpam-6467	301	4	a	a	DET
ejpam-6467	301	5	cuntavepanit	cuntavepanit	NOUN
ejpam-6467	301	6	,	,	PUNCT
ejpam-6467	301	7	s	s	PART
ejpam-6467	301	8	k	k	NOUN
ejpam-6467	301	9	ntouyas	ntouyas	NOUN
ejpam-6467	301	10	and	and	CCONJ
ejpam-6467	301	11	j	j	PROPN
ejpam-6467	301	12	tariboon	tariboon	NOUN
ejpam-6467	301	13	,	,	PUNCT
ejpam-6467	301	14	right	right	ADJ
ejpam-6467	301	15	quantum	quantum	NOUN
ejpam-6467	301	16	calculus	calculus	NOUN
ejpam-6467	301	17	on	on	ADP
ejpam-6467	301	18	finite	finite	ADJ
ejpam-6467	301	19	intervals	interval	NOUN
ejpam-6467	301	20	with	with	ADP
ejpam-6467	301	21	respect	respect	NOUN
ejpam-6467	301	22	to	to	ADP
ejpam-6467	301	23	another	another	DET
ejpam-6467	301	24	function	function	NOUN
ejpam-6467	301	25	and	and	CCONJ
ejpam-6467	301	26	quantum	quantum	ADJ
ejpam-6467	301	27	hermite	hermite	PROPN
ejpam-6467	301	28	–	–	PUNCT
ejpam-6467	301	29	hadamard	hadamard	ADJ
ejpam-6467	301	30	inequalities	inequality	NOUN
ejpam-6467	301	31	,	,	PUNCT
ejpam-6467	301	32	axioms	axiom	NOUN
ejpam-6467	301	33	,	,	PUNCT
ejpam-6467	301	34	13(7	13(7	NUM
ejpam-6467	301	35	)	)	PUNCT
ejpam-6467	301	36	,	,	PUNCT
ejpam-6467	301	37	466	466	NUM
ejpam-6467	301	38	,	,	PUNCT
ejpam-6467	301	39	(	(	PUNCT
ejpam-6467	301	40	2024	2024	NUM
ejpam-6467	301	41	)	)	PUNCT
ejpam-6467	301	42	.	.	PUNCT
ejpam-6467	302	1	[	[	X
ejpam-6467	302	2	15	15	NUM
ejpam-6467	302	3	]	]	X
ejpam-6467	302	4	r	r	PROPN
ejpam-6467	302	5	almeida	almeida	PROPN
ejpam-6467	302	6	,	,	PUNCT
ejpam-6467	302	7	a	a	DET
ejpam-6467	302	8	caputo	caputo	PROPN
ejpam-6467	302	9	fractional	fractional	PROPN
ejpam-6467	302	10	derivative	derivative	NOUN
ejpam-6467	302	11	of	of	ADP
ejpam-6467	302	12	a	a	DET
ejpam-6467	302	13	function	function	NOUN
ejpam-6467	302	14	with	with	ADP
ejpam-6467	302	15	respect	respect	NOUN
ejpam-6467	302	16	to	to	ADP
ejpam-6467	302	17	another	another	DET
ejpam-6467	302	18	function	function	NOUN
ejpam-6467	302	19	,	,	PUNCT
ejpam-6467	302	20	communications	communication	NOUN
ejpam-6467	302	21	in	in	ADP
ejpam-6467	302	22	nonlinear	nonlinear	ADJ
ejpam-6467	302	23	science	science	NOUN
ejpam-6467	302	24	and	and	CCONJ
ejpam-6467	302	25	numerical	numerical	PROPN
ejpam-6467	302	26	simulation	simulation	PROPN
ejpam-6467	302	27	,	,	PUNCT
ejpam-6467	302	28	44	44	NUM
ejpam-6467	302	29	,	,	PUNCT
ejpam-6467	302	30	460	460	NUM
ejpam-6467	302	31	-	-	SYM
ejpam-6467	302	32	481	481	NUM
ejpam-6467	302	33	,	,	PUNCT
ejpam-6467	302	34	(	(	PUNCT
ejpam-6467	302	35	2017	2017	NUM
ejpam-6467	302	36	)	)	PUNCT
ejpam-6467	302	37	.	.	PUNCT
ejpam-6467	303	1	[	[	X
ejpam-6467	303	2	16	16	NUM
ejpam-6467	303	3	]	]	X
ejpam-6467	303	4	j	j	PROPN
ejpam-6467	303	5	nasir	nasir	PROPN
ejpam-6467	303	6	,	,	PUNCT
ejpam-6467	303	7	s	s	PART
ejpam-6467	303	8	qaisar	qaisar	PROPN
ejpam-6467	303	9	,	,	PUNCT
ejpam-6467	303	10	a	a	DET
ejpam-6467	303	11	qayyum	qayyum	PROPN
ejpam-6467	303	12	and	and	CCONJ
ejpam-6467	303	13	h	h	PROPN
ejpam-6467	303	14	budak	budak	PROPN
ejpam-6467	303	15	,	,	PUNCT
ejpam-6467	303	16	new	new	ADJ
ejpam-6467	303	17	results	result	NOUN
ejpam-6467	303	18	on	on	ADP
ejpam-6467	303	19	hermite	hermite	ADJ
ejpam-6467	303	20	-	-	PUNCT
ejpam-6467	303	21	hadamard	hadamard	ADJ
ejpam-6467	303	22	type	type	NOUN
ejpam-6467	303	23	inequalities	inequality	NOUN
ejpam-6467	303	24	via	via	ADP
ejpam-6467	303	25	caputo	caputo	PROPN
ejpam-6467	303	26	-	-	PUNCT
ejpam-6467	303	27	fabrizio	fabrizio	PROPN
ejpam-6467	303	28	fractional	fractional	ADJ
ejpam-6467	303	29	integral	integral	ADJ
ejpam-6467	303	30	for	for	ADP
ejpam-6467	303	31	s	s	NOUN
ejpam-6467	303	32	-	-	ADJ
ejpam-6467	303	33	convex	convex	ADJ
ejpam-6467	303	34	function	function	NOUN
ejpam-6467	303	35	,	,	PUNCT
ejpam-6467	303	36	filomat	filomat	NOUN
ejpam-6467	303	37	,	,	PUNCT
ejpam-6467	303	38	37(15	37(15	NUM
ejpam-6467	303	39	)	)	PUNCT
ejpam-6467	303	40	,	,	PUNCT
ejpam-6467	303	41	4943	4943	NUM
ejpam-6467	303	42	-	-	SYM
ejpam-6467	303	43	4957	4957	NUM
ejpam-6467	303	44	,	,	PUNCT
ejpam-6467	303	45	(	(	PUNCT
ejpam-6467	303	46	2023	2023	NUM
ejpam-6467	303	47	)	)	PUNCT
ejpam-6467	303	48	.	.	PUNCT
ejpam-6467	304	1	[	[	X
ejpam-6467	304	2	17	17	NUM
ejpam-6467	304	3	]	]	X
ejpam-6467	304	4	s	s	PART
ejpam-6467	304	5	rashid	rashid	PROPN
ejpam-6467	304	6	,	,	PUNCT
ejpam-6467	304	7	f	f	PROPN
ejpam-6467	304	8	jarad	jarad	PROPN
ejpam-6467	304	9	,	,	PUNCT
ejpam-6467	304	10	m	m	VERB
ejpam-6467	304	11	a	a	DET
ejpam-6467	304	12	noor	noor	NOUN
ejpam-6467	304	13	,	,	PUNCT
ejpam-6467	304	14	h	h	NOUN
ejpam-6467	304	15	kalsoom	kalsoom	NOUN
ejpam-6467	304	16	and	and	CCONJ
ejpam-6467	304	17	y	y	PROPN
ejpam-6467	304	18	m	m	PROPN
ejpam-6467	304	19	chu	chu	PROPN
ejpam-6467	304	20	,	,	PUNCT
ejpam-6467	304	21	inequalities	inequality	NOUN
ejpam-6467	304	22	by	by	ADP
ejpam-6467	304	23	means	mean	NOUN
ejpam-6467	304	24	of	of	ADP
ejpam-6467	304	25	generalized	generalized	ADJ
ejpam-6467	304	26	proportional	proportional	ADJ
ejpam-6467	304	27	fractional	fractional	ADJ
ejpam-6467	304	28	integral	integral	ADJ
ejpam-6467	304	29	operators	operator	NOUN
ejpam-6467	304	30	with	with	ADP
ejpam-6467	304	31	respect	respect	NOUN
ejpam-6467	304	32	to	to	ADP
ejpam-6467	304	33	another	another	DET
ejpam-6467	304	34	function	function	NOUN
ejpam-6467	304	35	,	,	PUNCT
ejpam-6467	304	36	mathematics	mathematic	NOUN
ejpam-6467	304	37	,	,	PUNCT
ejpam-6467	304	38	7(12	7(12	NUM
ejpam-6467	304	39	)	)	PUNCT
ejpam-6467	304	40	,	,	PUNCT
ejpam-6467	304	41	1225	1225	NUM
ejpam-6467	304	42	,	,	PUNCT
ejpam-6467	304	43	(	(	PUNCT
ejpam-6467	304	44	2019	2019	NUM
ejpam-6467	304	45	)	)	PUNCT
ejpam-6467	304	46	.	.	PUNCT
ejpam-6467	305	1	[	[	X
ejpam-6467	305	2	18	18	NUM
ejpam-6467	305	3	]	]	X
ejpam-6467	305	4	k	k	PROPN
ejpam-6467	305	5	mehren	mehren	PROPN
ejpam-6467	305	6	and	and	CCONJ
ejpam-6467	305	7	p	p	PROPN
ejpam-6467	305	8	agarwal	agarwal	PROPN
ejpam-6467	305	9	,	,	PUNCT
ejpam-6467	305	10	new	new	ADJ
ejpam-6467	305	11	hermite	hermite	ADJ
ejpam-6467	305	12	-	-	PUNCT
ejpam-6467	305	13	hadamard	hadamard	ADJ
ejpam-6467	305	14	type	type	NOUN
ejpam-6467	305	15	integral	integral	ADJ
ejpam-6467	305	16	inequalities	inequality	NOUN
ejpam-6467	305	17	for	for	ADP
ejpam-6467	305	18	the	the	DET
ejpam-6467	305	19	convex	convex	NOUN
ejpam-6467	305	20	functions	function	NOUN
ejpam-6467	305	21	and	and	CCONJ
ejpam-6467	305	22	theirs	theirs	NOUN
ejpam-6467	305	23	applications	application	NOUN
ejpam-6467	305	24	,	,	PUNCT
ejpam-6467	305	25	journal	journal	NOUN
ejpam-6467	305	26	of	of	ADP
ejpam-6467	305	27	computational	computational	ADJ
ejpam-6467	305	28	and	and	CCONJ
ejpam-6467	305	29	applied	applied	ADJ
ejpam-6467	305	30	mathematics	mathematic	NOUN
ejpam-6467	305	31	,	,	PUNCT
ejpam-6467	305	32	350	350	NUM
ejpam-6467	305	33	(	(	PUNCT
ejpam-6467	305	34	2019	2019	NUM
ejpam-6467	305	35	)	)	PUNCT
ejpam-6467	305	36	,	,	PUNCT
ejpam-6467	305	37	274	274	NUM
ejpam-6467	305	38	-	-	SYM
ejpam-6467	305	39	285	285	NUM
ejpam-6467	305	40	.	.	PUNCT
ejpam-6467	306	1	[	[	X
ejpam-6467	306	2	19	19	NUM
ejpam-6467	306	3	]	]	X
ejpam-6467	306	4	h	h	NOUN
ejpam-6467	306	5	qawaqneh	qawaqneh	NOUN
ejpam-6467	306	6	,	,	PUNCT
ejpam-6467	306	7	fractional	fractional	ADJ
ejpam-6467	306	8	analytic	analytic	ADJ
ejpam-6467	306	9	solutions	solution	NOUN
ejpam-6467	306	10	and	and	CCONJ
ejpam-6467	306	11	fixed	fix	VERB
ejpam-6467	306	12	point	point	NOUN
ejpam-6467	306	13	results	result	NOUN
ejpam-6467	306	14	with	with	ADP
ejpam-6467	306	15	some	some	DET
ejpam-6467	306	16	applications	application	NOUN
ejpam-6467	306	17	,	,	PUNCT
ejpam-6467	306	18	advances	advance	NOUN
ejpam-6467	306	19	in	in	ADP
ejpam-6467	306	20	fixed	fix	VERB
ejpam-6467	306	21	point	point	NOUN
ejpam-6467	306	22	theory	theory	NOUN
ejpam-6467	306	23	,	,	PUNCT
ejpam-6467	306	24	14(1	14(1	NUM
ejpam-6467	306	25	)	)	PUNCT
ejpam-6467	306	26	,	,	PUNCT
ejpam-6467	306	27	(	(	PUNCT
ejpam-6467	306	28	2024	2024	NUM
ejpam-6467	306	29	)	)	PUNCT
ejpam-6467	306	30	.	.	PUNCT
ejpam-6467	307	1	[	[	X
ejpam-6467	307	2	20	20	NUM
ejpam-6467	307	3	]	]	X
ejpam-6467	307	4	h	h	NOUN
ejpam-6467	307	5	qawaqneh	qawaqneh	PROPN
ejpam-6467	307	6	,	,	PUNCT
ejpam-6467	307	7	m	m	PROPN
ejpam-6467	307	8	s	s	PROPN
ejpam-6467	307	9	md	md	NOUN
ejpam-6467	307	10	noorani	noorani	PROPN
ejpam-6467	307	11	,	,	PUNCT
ejpam-6467	307	12	h	h	PROPN
ejpam-6467	307	13	aydi	aydi	VERB
ejpam-6467	307	14	,	,	PUNCT
ejpam-6467	307	15	a	a	DET
ejpam-6467	307	16	zraiqat	zraiqat	NOUN
ejpam-6467	307	17	and	and	CCONJ
ejpam-6467	307	18	a	a	DET
ejpam-6467	307	19	h	h	NOUN
ejpam-6467	307	20	ansari	ansari	ADJ
ejpam-6467	307	21	,	,	PUNCT
ejpam-6467	307	22	on	on	ADP
ejpam-6467	307	23	fixed	fix	VERB
ejpam-6467	307	24	pointresults	pointresult	NOUN
ejpam-6467	307	25	in	in	ADP
ejpam-6467	307	26	partial	partial	ADJ
ejpam-6467	307	27	b	b	NOUN
ejpam-6467	307	28	-	-	PUNCT
ejpam-6467	307	29	metric	metric	ADJ
ejpam-6467	307	30	spaces	space	NOUN
ejpam-6467	307	31	,	,	PUNCT
ejpam-6467	307	32	journal	journal	NOUN
ejpam-6467	307	33	of	of	ADP
ejpam-6467	307	34	function	function	NOUN
ejpam-6467	307	35	spaces	space	NOUN
ejpam-6467	307	36	,	,	PUNCT
ejpam-6467	307	37	2021	2021	NUM
ejpam-6467	307	38	,	,	PUNCT
ejpam-6467	307	39	8769190	8769190	NUM
ejpam-6467	307	40	,	,	PUNCT
ejpam-6467	307	41	9	9	NUM
ejpam-6467	307	42	pages	page	NOUN
ejpam-6467	307	43	,	,	PUNCT
ejpam-6467	307	44	(	(	PUNCT
ejpam-6467	307	45	2021	2021	NUM
ejpam-6467	307	46	)	)	PUNCT
ejpam-6467	307	47	.	.	PUNCT
ejpam-6467	308	1	[	[	X
ejpam-6467	308	2	21	21	NUM
ejpam-6467	308	3	]	]	X
ejpam-6467	308	4	h	h	NOUN
ejpam-6467	308	5	qawaqneh	qawaqneh	PROPN
ejpam-6467	308	6	,	,	PUNCT
ejpam-6467	308	7	m	m	PROPN
ejpam-6467	308	8	s	s	PROPN
ejpam-6467	308	9	md	md	PROPN
ejpam-6467	308	10	noorani	noorani	PROPN
ejpam-6467	308	11	and	and	CCONJ
ejpam-6467	308	12	h	h	PROPN
ejpam-6467	308	13	aydi	aydi	VERB
ejpam-6467	308	14	,	,	PUNCT
ejpam-6467	308	15	some	some	DET
ejpam-6467	308	16	new	new	ADJ
ejpam-6467	308	17	characterizations	characterization	NOUN
ejpam-6467	308	18	and	and	CCONJ
ejpam-6467	308	19	results	result	NOUN
ejpam-6467	308	20	for	for	ADP
ejpam-6467	308	21	fuzzy	fuzzy	ADJ
ejpam-6467	308	22	contractions	contraction	NOUN
ejpam-6467	308	23	in	in	ADP
ejpam-6467	308	24	fuzzy	fuzzy	ADJ
ejpam-6467	308	25	b	b	X
ejpam-6467	308	26	-	-	PUNCT
ejpam-6467	308	27	metric	metric	ADJ
ejpam-6467	308	28	spaces	space	NOUN
ejpam-6467	308	29	and	and	CCONJ
ejpam-6467	308	30	applications	application	NOUN
ejpam-6467	308	31	,	,	PUNCT
ejpam-6467	308	32	aims	aim	VERB
ejpam-6467	308	33	mathematics	mathematic	NOUN
ejpam-6467	308	34	,	,	PUNCT
ejpam-6467	308	35	8(3),2023	8(3),2023	NUM
ejpam-6467	308	36	,	,	PUNCT
ejpam-6467	308	37	6682	6682	NUM
ejpam-6467	308	38	-	-	SYM
ejpam-6467	308	39	6696	6696	NUM
ejpam-6467	308	40	,	,	PUNCT
ejpam-6467	308	41	(	(	PUNCT
ejpam-6467	308	42	2023	2023	NUM
ejpam-6467	308	43	)	)	PUNCT
ejpam-6467	308	44	.	.	PUNCT
ejpam-6467	309	1	[	[	X
ejpam-6467	309	2	22	22	NUM
ejpam-6467	309	3	]	]	X
ejpam-6467	309	4	j	j	PROPN
ejpam-6467	309	5	nasir	nasir	PROPN
ejpam-6467	309	6	,	,	PUNCT
ejpam-6467	309	7	s	s	PART
ejpam-6467	309	8	qaisar	qaisar	PROPN
ejpam-6467	309	9	,	,	PUNCT
ejpam-6467	309	10	s	s	PART
ejpam-6467	309	11	i	i	NOUN
ejpam-6467	309	12	butt	butt	PROPN
ejpam-6467	309	13	,	,	PUNCT
ejpam-6467	309	14	h	h	PROPN
ejpam-6467	309	15	aydi	aydi	VERB
ejpam-6467	309	16	and	and	CCONJ
ejpam-6467	309	17	m	m	PROPN
ejpam-6467	309	18	de	de	X
ejpam-6467	309	19	la	la	X
ejpam-6467	309	20	sen	sen	PROPN
ejpam-6467	309	21	,	,	PUNCT
ejpam-6467	309	22	hermite	hermite	PROPN
ejpam-6467	309	23	-	-	PUNCT
ejpam-6467	309	24	hadamard	hadamard	ADJ
ejpam-6467	309	25	like	like	ADP
ejpam-6467	309	26	inequalities	inequality	NOUN
ejpam-6467	309	27	for	for	ADP
ejpam-6467	309	28	fractional	fractional	ADJ
ejpam-6467	309	29	integral	integral	ADJ
ejpam-6467	309	30	operator	operator	NOUN
ejpam-6467	309	31	via	via	ADP
ejpam-6467	309	32	convexity	convexity	NOUN
ejpam-6467	309	33	and	and	CCONJ
ejpam-6467	309	34	quasi	quasi	NOUN
ejpam-6467	309	35	-	-	NOUN
ejpam-6467	309	36	convexity	convexity	NOUN
ejpam-6467	309	37	with	with	ADP
ejpam-6467	309	38	their	their	PRON
ejpam-6467	309	39	applications	application	NOUN
ejpam-6467	309	40	,	,	PUNCT
ejpam-6467	309	41	aims	aim	VERB
ejpam-6467	309	42	math	math	NOUN
ejpam-6467	309	43	.	.	PUNCT
ejpam-6467	310	1	,	,	PUNCT
ejpam-6467	310	2	7	7	NUM
ejpam-6467	310	3	(	(	PUNCT
ejpam-6467	310	4	2022	2022	NUM
ejpam-6467	310	5	)	)	PUNCT
ejpam-6467	310	6	3418–3439	3418–3439	NOUN
ejpam-6467	310	7	,	,	PUNCT
ejpam-6467	310	8	(	(	PUNCT
ejpam-6467	310	9	2022	2022	NUM
ejpam-6467	310	10	)	)	PUNCT
ejpam-6467	310	11	.	.	PUNCT
ejpam-6467	311	1	[	[	X
ejpam-6467	311	2	23	23	NUM
ejpam-6467	311	3	]	]	PUNCT
ejpam-6467	311	4	a	a	DET
ejpam-6467	311	5	a	a	DET
ejpam-6467	311	6	kilbas	kilbas	NOUN
ejpam-6467	311	7	,	,	PUNCT
ejpam-6467	311	8	h	h	PROPN
ejpam-6467	311	9	m	m	PROPN
ejpam-6467	311	10	srivastava	srivastava	PROPN
ejpam-6467	311	11	and	and	CCONJ
ejpam-6467	311	12	j	j	PROPN
ejpam-6467	311	13	j	j	PROPN
ejpam-6467	311	14	trujillo	trujillo	PROPN
ejpam-6467	311	15	,	,	PUNCT
ejpam-6467	311	16	theory	theory	NOUN
ejpam-6467	311	17	and	and	CCONJ
ejpam-6467	311	18	applications	application	NOUN
ejpam-6467	311	19	of	of	ADP
ejpam-6467	311	20	fractional	fractional	ADJ
ejpam-6467	311	21	diferential	diferential	ADJ
ejpam-6467	311	22	equations	equation	NOUN
ejpam-6467	311	23	,	,	PUNCT
ejpam-6467	311	24	elsevier	elsevier	PROPN
ejpam-6467	311	25	b.v	b.v	PROPN
ejpam-6467	311	26	.	.	PROPN
ejpam-6467	311	27	,amsterdam	,amsterdam	PROPN
ejpam-6467	311	28	,	,	PUNCT
ejpam-6467	311	29	netherlands	netherlands	PROPN
ejpam-6467	311	30	,	,	PUNCT
ejpam-6467	311	31	(	(	PUNCT
ejpam-6467	311	32	2006	2006	NUM
ejpam-6467	311	33	)	)	PUNCT
ejpam-6467	311	34	.	.	PUNCT
ejpam-6467	312	1	[	[	X
ejpam-6467	312	2	24	24	NUM
ejpam-6467	312	3	]	]	SYM
ejpam-6467	312	4	s	s	PROPN
ejpam-6467	312	5	i	i	NOUN
ejpam-6467	312	6	butt	butt	PROPN
ejpam-6467	312	7	,	,	PUNCT
ejpam-6467	312	8	a	a	DET
ejpam-6467	312	9	nosheen	nosheen	NOUN
ejpam-6467	312	10	,	,	PUNCT
ejpam-6467	312	11	j	j	PROPN
ejpam-6467	312	12	nasir	nasir	PROPN
ejpam-6467	312	13	,	,	PUNCT
ejpam-6467	312	14	k	k	PROPN
ejpam-6467	312	15	a	a	DET
ejpam-6467	312	16	khan	khan	PROPN
ejpam-6467	312	17	and	and	CCONJ
ejpam-6467	312	18	r	r	NOUN
ejpam-6467	312	19	matendo	matendo	PROPN
ejpam-6467	312	20	mabela	mabela	PROPN
ejpam-6467	312	21	,	,	PUNCT
ejpam-6467	312	22	new	new	ADJ
ejpam-6467	312	23	fractional	fractional	ADJ
ejpam-6467	312	24	mercer	mercer	PROPN
ejpam-6467	312	25	–	–	PUNCT
ejpam-6467	312	26	ostrowski	ostrowski	ADJ
ejpam-6467	312	27	type	type	NOUN
ejpam-6467	312	28	inequalities	inequality	NOUN
ejpam-6467	312	29	with	with	ADP
ejpam-6467	312	30	respect	respect	NOUN
ejpam-6467	312	31	to	to	ADP
ejpam-6467	312	32	monotone	monotone	ADJ
ejpam-6467	312	33	function	function	NOUN
ejpam-6467	312	34	,	,	PUNCT
ejpam-6467	312	35	mathematical	mathematical	ADJ
ejpam-6467	312	36	problems	problem	NOUN
ejpam-6467	312	37	in	in	ADP
ejpam-6467	312	38	engineering	engineering	NOUN
ejpam-6467	312	39	,	,	PUNCT
ejpam-6467	312	40	2022(1	2022(1	NUM
ejpam-6467	312	41	)	)	PUNCT
ejpam-6467	312	42	,	,	PUNCT
ejpam-6467	312	43	7067543	7067543	NUM
ejpam-6467	312	44	,	,	PUNCT
ejpam-6467	312	45	(	(	PUNCT
ejpam-6467	312	46	2022	2022	NUM
ejpam-6467	312	47	)	)	PUNCT
ejpam-6467	312	48	.	.	PUNCT
ejpam-6467	313	1	[	[	X
ejpam-6467	313	2	25	25	NUM
ejpam-6467	313	3	]	]	X
ejpam-6467	313	4	d	d	NOUN
ejpam-6467	313	5	r	r	PROPN
ejpam-6467	313	6	anderson	anderson	PROPN
ejpam-6467	313	7	,	,	PUNCT
ejpam-6467	314	1	d	d	PROPN
ejpam-6467	314	2	j	j	PROPN
ejpam-6467	314	3	ulness	ulness	NOUN
ejpam-6467	314	4	,	,	PUNCT
ejpam-6467	314	5	newly	newly	ADV
ejpam-6467	314	6	defined	define	VERB
ejpam-6467	314	7	conformable	conformable	ADJ
ejpam-6467	314	8	derivatives	derivative	NOUN
ejpam-6467	314	9	,	,	PUNCT
ejpam-6467	314	10	advances	advance	NOUN
ejpam-6467	314	11	in	in	ADP
ejpam-6467	314	12	dynamical	dynamical	ADJ
ejpam-6467	314	13	systems	system	NOUN
ejpam-6467	314	14	and	and	CCONJ
ejpam-6467	314	15	applications	application	NOUN
ejpam-6467	314	16	,	,	PUNCT
ejpam-6467	314	17	10(2	10(2	NUM
ejpam-6467	314	18	)	)	PUNCT
ejpam-6467	314	19	,	,	PUNCT
ejpam-6467	314	20	109–137	109–137	NUM
ejpam-6467	314	21	,	,	PUNCT
ejpam-6467	314	22	(	(	PUNCT
ejpam-6467	314	23	2015	2015	NUM
ejpam-6467	314	24	)	)	PUNCT
ejpam-6467	314	25	.	.	PUNCT
ejpam-6467	315	1	[	[	X
ejpam-6467	315	2	26	26	NUM
ejpam-6467	315	3	]	]	X
ejpam-6467	315	4	g	g	PROPN
ejpam-6467	315	5	k	k	PROPN
ejpam-6467	315	6	rahman	rahman	PROPN
ejpam-6467	315	7	,	,	PUNCT
ejpam-6467	315	8	s	s	VERB
ejpam-6467	315	9	nisar	nisar	PROPN
ejpam-6467	315	10	,	,	PUNCT
ejpam-6467	315	11	t	t	NOUN
ejpam-6467	315	12	abdeljawad	abdeljawad	NOUN
ejpam-6467	315	13	and	and	CCONJ
ejpam-6467	315	14	s	s	VERB
ejpam-6467	315	15	ullah	ullah	PROPN
ejpam-6467	315	16	,	,	PUNCT
ejpam-6467	315	17	certain	certain	ADJ
ejpam-6467	315	18	fractional	fractional	ADJ
ejpam-6467	315	19	proportional	proportional	ADJ
ejpam-6467	315	20	integral	integral	ADJ
ejpam-6467	315	21	inequalities	inequality	NOUN
ejpam-6467	315	22	via	via	ADP
ejpam-6467	315	23	convex	convex	NOUN
ejpam-6467	315	24	functions	function	NOUN
ejpam-6467	315	25	,	,	PUNCT
ejpam-6467	315	26	mathematics	mathematic	NOUN
ejpam-6467	315	27	,	,	PUNCT
ejpam-6467	315	28	8(2	8(2	NUM
ejpam-6467	315	29	)	)	PUNCT
ejpam-6467	315	30	,	,	PUNCT
ejpam-6467	315	31	222	222	NUM
ejpam-6467	315	32	,	,	PUNCT
ejpam-6467	315	33	(	(	PUNCT
ejpam-6467	315	34	2020	2020	NUM
ejpam-6467	315	35	)	)	PUNCT
ejpam-6467	315	36	.	.	PUNCT
ejpam-6467	316	1	j.	j.	PROPN
ejpam-6467	316	2	nasir	nasir	PROPN
ejpam-6467	316	3	,	,	PUNCT
ejpam-6467	316	4	h.	h.	PROPN
ejpam-6467	316	5	qawaqneh	qawaqneh	PROPN
ejpam-6467	316	6	,	,	PUNCT
ejpam-6467	316	7	h.	h.	PROPN
ejpam-6467	316	8	aydi	aydi	VERB
ejpam-6467	316	9	/	/	SYM
ejpam-6467	316	10	eur	eur	NOUN
ejpam-6467	316	11	.	.	PUNCT
ejpam-6467	317	1	j.	j.	PROPN
ejpam-6467	317	2	pure	pure	PROPN
ejpam-6467	317	3	appl	appl	PROPN
ejpam-6467	317	4	.	.	PROPN
ejpam-6467	317	5	math	math	PROPN
ejpam-6467	317	6	,	,	PUNCT
ejpam-6467	317	7	18	18	NUM
ejpam-6467	317	8	(	(	PUNCT
ejpam-6467	317	9	3	3	NUM
ejpam-6467	317	10	)	)	PUNCT
ejpam-6467	317	11	(	(	PUNCT
ejpam-6467	317	12	2025	2025	NUM
ejpam-6467	317	13	)	)	PUNCT
ejpam-6467	317	14	,	,	PUNCT
ejpam-6467	317	15	6467	6467	NUM
ejpam-6467	317	16	16	16	NUM
ejpam-6467	317	17	of	of	ADP
ejpam-6467	317	18	16	16	NUM
ejpam-6467	318	1	[	[	X
ejpam-6467	318	2	27	27	NUM
ejpam-6467	318	3	]	]	X
ejpam-6467	318	4	f	f	PROPN
ejpam-6467	318	5	jarad	jarad	PROPN
ejpam-6467	318	6	,	,	PUNCT
ejpam-6467	318	7	t	t	PROPN
ejpam-6467	318	8	abdeljawad	abdeljawad	NOUN
ejpam-6467	318	9	and	and	CCONJ
ejpam-6467	318	10	j	j	PROPN
ejpam-6467	318	11	alzabut	alzabut	NOUN
ejpam-6467	318	12	,	,	PUNCT
ejpam-6467	318	13	generalized	generalize	VERB
ejpam-6467	318	14	fractional	fractional	ADJ
ejpam-6467	318	15	derivatives	derivative	NOUN
ejpam-6467	318	16	generated	generate	VERB
ejpam-6467	318	17	by	by	ADP
ejpam-6467	318	18	a	a	DET
ejpam-6467	318	19	class	class	NOUN
ejpam-6467	318	20	of	of	ADP
ejpam-6467	318	21	local	local	ADJ
ejpam-6467	318	22	proportional	proportional	ADJ
ejpam-6467	318	23	derivatives	derivative	NOUN
ejpam-6467	318	24	,	,	PUNCT
ejpam-6467	318	25	european	european	PROPN
ejpam-6467	318	26	physical	physical	PROPN
ejpam-6467	318	27	journal	journal	PROPN
ejpam-6467	318	28	special	special	ADJ
ejpam-6467	318	29	topics	topic	NOUN
ejpam-6467	318	30	,	,	PUNCT
ejpam-6467	318	31	226	226	NUM
ejpam-6467	318	32	,	,	PUNCT
ejpam-6467	318	33	3457–3471	3457–3471	NUM
ejpam-6467	318	34	,	,	PUNCT
ejpam-6467	318	35	(	(	PUNCT
ejpam-6467	318	36	2017	2017	NUM
ejpam-6467	318	37	)	)	PUNCT
ejpam-6467	318	38	.	.	PUNCT
ejpam-6467	319	1	[	[	X
ejpam-6467	319	2	28	28	NUM
ejpam-6467	319	3	]	]	X
ejpam-6467	319	4	f	f	PROPN
ejpam-6467	319	5	jarad	jarad	PROPN
ejpam-6467	319	6	,	,	PUNCT
ejpam-6467	319	7	t	t	PROPN
ejpam-6467	319	8	abdeljawad	abdeljawad	NOUN
ejpam-6467	319	9	,	,	PUNCT
ejpam-6467	319	10	s	s	PART
ejpam-6467	319	11	rashid	rashid	PROPN
ejpam-6467	319	12	and	and	CCONJ
ejpam-6467	319	13	z	z	PROPN
ejpam-6467	319	14	hammouch	hammouch	ADJ
ejpam-6467	319	15	,	,	PUNCT
ejpam-6467	319	16	more	more	ADJ
ejpam-6467	319	17	properties	property	NOUN
ejpam-6467	319	18	of	of	ADP
ejpam-6467	319	19	the	the	DET
ejpam-6467	319	20	proportional	proportional	ADJ
ejpam-6467	319	21	fractional	fractional	ADJ
ejpam-6467	319	22	integrals	integral	NOUN
ejpam-6467	319	23	and	and	CCONJ
ejpam-6467	319	24	derivatives	derivative	NOUN
ejpam-6467	319	25	of	of	ADP
ejpam-6467	319	26	a	a	DET
ejpam-6467	319	27	function	function	NOUN
ejpam-6467	319	28	with	with	ADP
ejpam-6467	319	29	respect	respect	NOUN
ejpam-6467	319	30	to	to	ADP
ejpam-6467	319	31	another	another	DET
ejpam-6467	319	32	function	function	NOUN
ejpam-6467	319	33	,	,	PUNCT
ejpam-6467	319	34	advances	advance	NOUN
ejpam-6467	319	35	in	in	ADP
ejpam-6467	319	36	difference	difference	NOUN
ejpam-6467	319	37	equations	equation	NOUN
ejpam-6467	319	38	,	,	PUNCT
ejpam-6467	319	39	2020	2020	NUM
ejpam-6467	319	40	,	,	PUNCT
ejpam-6467	319	41	1	1	NUM
ejpam-6467	319	42	-	-	SYM
ejpam-6467	319	43	16	16	NUM
ejpam-6467	319	44	,	,	PUNCT
ejpam-6467	319	45	(	(	PUNCT
ejpam-6467	319	46	2020	2020	NUM
ejpam-6467	319	47	)	)	PUNCT
ejpam-6467	319	48	.	.	PUNCT