id	sid	tid	token	lemma	pos
ejpam-5613	1	1	european	european	PROPN
ejpam-5613	1	2	journal	journal	PROPN
ejpam-5613	1	3	of	of	ADP
ejpam-5613	1	4	pure	pure	ADJ
ejpam-5613	1	5	and	and	CCONJ
ejpam-5613	1	6	applied	applied	ADJ
ejpam-5613	1	7	mathematics	mathematic	NOUN
ejpam-5613	1	8	2025	2025	NUM
ejpam-5613	1	9	,	,	PUNCT
ejpam-5613	1	10	vol	vol	NOUN
ejpam-5613	1	11	.	.	PROPN
ejpam-5613	1	12	18	18	NUM
ejpam-5613	1	13	,	,	PUNCT
ejpam-5613	1	14	issue	issue	NOUN
ejpam-5613	1	15	1	1	NUM
ejpam-5613	1	16	,	,	PUNCT
ejpam-5613	1	17	article	article	NOUN
ejpam-5613	1	18	number	number	NOUN
ejpam-5613	1	19	5608	5608	NUM
ejpam-5613	1	20	issn	issn	VERB
ejpam-5613	1	21	1307	1307	NUM
ejpam-5613	1	22	-	-	SYM
ejpam-5613	1	23	5543	5543	NUM
ejpam-5613	1	24	–	–	PUNCT
ejpam-5613	1	25	ejpam.com	ejpam.com	X
ejpam-5613	1	26	published	publish	VERB
ejpam-5613	1	27	by	by	ADP
ejpam-5613	1	28	new	new	PROPN
ejpam-5613	1	29	york	york	PROPN
ejpam-5613	1	30	business	business	PROPN
ejpam-5613	1	31	global	global	ADJ
ejpam-5613	1	32	two	two	NUM
ejpam-5613	1	33	-	-	PUNCT
ejpam-5613	1	34	variable	variable	NOUN
ejpam-5613	1	35	trapezoidal	trapezoidal	ADJ
ejpam-5613	1	36	type	type	NOUN
ejpam-5613	1	37	inequalities	inequality	NOUN
ejpam-5613	1	38	in	in	ADP
ejpam-5613	1	39	banach	banach	NOUN
ejpam-5613	1	40	spaces	space	NOUN
ejpam-5613	1	41	ohud	ohud	PROPN
ejpam-5613	1	42	bulayhan	bulayhan	PROPN
ejpam-5613	1	43	almutairi1,∗	almutairi1,∗	PROPN
ejpam-5613	1	44	,	,	PUNCT
ejpam-5613	1	45	muhammad	muhammad	PROPN
ejpam-5613	1	46	amer	amer	PROPN
ejpam-5613	1	47	latif2	latif2	ADJ
ejpam-5613	1	48	1	1	NUM
ejpam-5613	1	49	department	department	NOUN
ejpam-5613	1	50	of	of	ADP
ejpam-5613	1	51	mathematics	mathematic	NOUN
ejpam-5613	1	52	,	,	PUNCT
ejpam-5613	1	53	university	university	NOUN
ejpam-5613	1	54	of	of	ADP
ejpam-5613	1	55	hafr	hafr	PROPN
ejpam-5613	1	56	al	al	PROPN
ejpam-5613	1	57	batin	batin	PROPN
ejpam-5613	1	58	,	,	PUNCT
ejpam-5613	1	59	hafr	hafr	PROPN
ejpam-5613	1	60	al	al	PROPN
ejpam-5613	1	61	batin	batin	PROPN
ejpam-5613	1	62	31991	31991	NUM
ejpam-5613	1	63	,	,	PUNCT
ejpam-5613	1	64	saudi	saudi	PROPN
ejpam-5613	1	65	arabia	arabia	PROPN
ejpam-5613	1	66	2	2	NUM
ejpam-5613	1	67	department	department	NOUN
ejpam-5613	1	68	of	of	ADP
ejpam-5613	1	69	mathematics	mathematic	NOUN
ejpam-5613	1	70	,	,	PUNCT
ejpam-5613	1	71	college	college	NOUN
ejpam-5613	1	72	of	of	ADP
ejpam-5613	1	73	science	science	NOUN
ejpam-5613	1	74	,	,	PUNCT
ejpam-5613	1	75	king	king	NOUN
ejpam-5613	1	76	faisal	faisal	PROPN
ejpam-5613	1	77	university	university	PROPN
ejpam-5613	1	78	,	,	PUNCT
ejpam-5613	1	79	hofuf	hofuf	PROPN
ejpam-5613	1	80	31982	31982	NUM
ejpam-5613	1	81	,	,	PUNCT
ejpam-5613	1	82	al	al	PROPN
ejpam-5613	1	83	-	-	PUNCT
ejpam-5613	1	84	ahsa	ahsa	PROPN
ejpam-5613	1	85	,	,	PUNCT
ejpam-5613	1	86	saudi	saudi	PROPN
ejpam-5613	1	87	arabia	arabia	PROPN
ejpam-5613	1	88	abstract	abstract	NOUN
ejpam-5613	1	89	.	.	PUNCT
ejpam-5613	2	1	this	this	DET
ejpam-5613	2	2	study	study	NOUN
ejpam-5613	2	3	presents	present	VERB
ejpam-5613	2	4	weighted	weight	VERB
ejpam-5613	2	5	trapezoidal	trapezoidal	ADJ
ejpam-5613	2	6	-	-	PUNCT
ejpam-5613	2	7	type	type	NOUN
ejpam-5613	2	8	inequalities	inequality	NOUN
ejpam-5613	2	9	for	for	ADP
ejpam-5613	2	10	the	the	DET
ejpam-5613	2	11	product	product	NOUN
ejpam-5613	2	12	of	of	ADP
ejpam-5613	2	13	two	two	NUM
ejpam-5613	2	14	functions	function	NOUN
ejpam-5613	2	15	.	.	PUNCT
ejpam-5613	3	1	while	while	SCONJ
ejpam-5613	3	2	one	one	NUM
ejpam-5613	3	3	function	function	NOUN
ejpam-5613	3	4	takes	take	VERB
ejpam-5613	3	5	its	its	PRON
ejpam-5613	3	6	values	value	NOUN
ejpam-5613	3	7	in	in	ADP
ejpam-5613	3	8	the	the	DET
ejpam-5613	3	9	banach	banach	NOUN
ejpam-5613	3	10	spaces	space	NOUN
ejpam-5613	3	11	,	,	PUNCT
ejpam-5613	3	12	the	the	DET
ejpam-5613	3	13	other	other	ADJ
ejpam-5613	3	14	takes	take	VERB
ejpam-5613	3	15	values	value	NOUN
ejpam-5613	3	16	in	in	ADP
ejpam-5613	3	17	the	the	DET
ejpam-5613	3	18	complex	complex	ADJ
ejpam-5613	3	19	plane	plane	NOUN
ejpam-5613	3	20	.	.	PUNCT
ejpam-5613	4	1	we	we	PRON
ejpam-5613	4	2	employed	employ	VERB
ejpam-5613	4	3	the	the	DET
ejpam-5613	4	4	technique	technique	NOUN
ejpam-5613	4	5	of	of	ADP
ejpam-5613	4	6	integration	integration	NOUN
ejpam-5613	4	7	by	by	ADP
ejpam-5613	4	8	parts	part	NOUN
ejpam-5613	4	9	for	for	ADP
ejpam-5613	4	10	bochner	bochner	NOUN
ejpam-5613	4	11	integrals	integral	NOUN
ejpam-5613	4	12	for	for	ADP
ejpam-5613	4	13	functions	function	NOUN
ejpam-5613	4	14	of	of	ADP
ejpam-5613	4	15	two	two	NUM
ejpam-5613	4	16	variables	variable	NOUN
ejpam-5613	4	17	,	,	PUNCT
ejpam-5613	4	18	along	along	ADP
ejpam-5613	4	19	with	with	ADP
ejpam-5613	4	20	principles	principle	NOUN
ejpam-5613	4	21	of	of	ADP
ejpam-5613	4	22	analysis	analysis	NOUN
ejpam-5613	4	23	for	for	ADP
ejpam-5613	4	24	functions	function	NOUN
ejpam-5613	4	25	taking	take	VERB
ejpam-5613	4	26	values	value	NOUN
ejpam-5613	4	27	in	in	ADP
ejpam-5613	4	28	the	the	DET
ejpam-5613	4	29	product	product	NOUN
ejpam-5613	4	30	of	of	ADP
ejpam-5613	4	31	banach	banach	NOUN
ejpam-5613	4	32	spaces	space	NOUN
ejpam-5613	4	33	,	,	PUNCT
ejpam-5613	4	34	to	to	PART
ejpam-5613	4	35	report	report	VERB
ejpam-5613	4	36	our	our	PRON
ejpam-5613	4	37	findings	finding	NOUN
ejpam-5613	4	38	.	.	PUNCT
ejpam-5613	5	1	in	in	ADP
ejpam-5613	5	2	addition	addition	NOUN
ejpam-5613	5	3	to	to	ADP
ejpam-5613	5	4	the	the	DET
ejpam-5613	5	5	extension	extension	NOUN
ejpam-5613	5	6	of	of	ADP
ejpam-5613	5	7	previous	previous	ADJ
ejpam-5613	5	8	studies	study	NOUN
ejpam-5613	5	9	on	on	ADP
ejpam-5613	5	10	functions	function	NOUN
ejpam-5613	5	11	of	of	ADP
ejpam-5613	5	12	a	a	DET
ejpam-5613	5	13	single	single	ADJ
ejpam-5613	5	14	variable	variable	NOUN
ejpam-5613	5	15	,	,	PUNCT
ejpam-5613	5	16	our	our	PRON
ejpam-5613	5	17	work	work	NOUN
ejpam-5613	5	18	generalizes	generalize	VERB
ejpam-5613	5	19	results	result	NOUN
ejpam-5613	5	20	reported	report	VERB
ejpam-5613	5	21	in	in	ADP
ejpam-5613	5	22	dragomir	dragomir	NOUN
ejpam-5613	5	23	for	for	ADP
ejpam-5613	5	24	two	two	NUM
ejpam-5613	5	25	functions	function	NOUN
ejpam-5613	5	26	whose	whose	DET
ejpam-5613	5	27	product	product	NOUN
ejpam-5613	5	28	of	of	ADP
ejpam-5613	5	29	their	their	PRON
ejpam-5613	5	30	variables	variable	NOUN
ejpam-5613	5	31	lies	lie	VERB
ejpam-5613	5	32	in	in	ADP
ejpam-5613	5	33	banach	banach	NOUN
ejpam-5613	5	34	spaces	space	NOUN
ejpam-5613	5	35	.	.	PUNCT
ejpam-5613	6	1	our	our	PRON
ejpam-5613	6	2	results	result	NOUN
ejpam-5613	6	3	are	be	AUX
ejpam-5613	6	4	new	new	ADJ
ejpam-5613	6	5	and	and	CCONJ
ejpam-5613	6	6	original	original	ADJ
ejpam-5613	6	7	since	since	SCONJ
ejpam-5613	6	8	they	they	PRON
ejpam-5613	6	9	do	do	AUX
ejpam-5613	6	10	not	not	PART
ejpam-5613	6	11	yet	yet	ADV
ejpam-5613	6	12	exist	exist	VERB
ejpam-5613	6	13	in	in	ADP
ejpam-5613	6	14	the	the	DET
ejpam-5613	6	15	literature	literature	NOUN
ejpam-5613	6	16	.	.	PUNCT
ejpam-5613	7	1	2020	2020	NUM
ejpam-5613	7	2	mathematics	mathematics	PROPN
ejpam-5613	7	3	subject	subject	NOUN
ejpam-5613	7	4	classifications	classification	NOUN
ejpam-5613	7	5	:	:	PUNCT
ejpam-5613	7	6	26d15	26d15	NUM
ejpam-5613	7	7	,	,	PUNCT
ejpam-5613	7	8	26a45	26a45	NUM
ejpam-5613	7	9	,	,	PUNCT
ejpam-5613	7	10	26d10	26d10	NUM
ejpam-5613	7	11	,	,	PUNCT
ejpam-5613	7	12	26b25	26b25	NOUN
ejpam-5613	7	13	,	,	PUNCT
ejpam-5613	7	14	41a55	41a55	NUM
ejpam-5613	7	15	,	,	PUNCT
ejpam-5613	7	16	46b20	46b20	NUM
ejpam-5613	7	17	,	,	PUNCT
ejpam-5613	7	18	47a63	47a63	NUM
ejpam-5613	7	19	,	,	PUNCT
ejpam-5613	7	20	47a99	47a99	NUM
ejpam-5613	7	21	key	key	ADJ
ejpam-5613	7	22	words	word	NOUN
ejpam-5613	7	23	and	and	CCONJ
ejpam-5613	7	24	phrases	phrase	NOUN
ejpam-5613	7	25	:	:	PUNCT
ejpam-5613	7	26	weighted	weight	VERB
ejpam-5613	7	27	trapezoidal	trapezoidal	ADJ
ejpam-5613	7	28	inequalities	inequality	NOUN
ejpam-5613	7	29	,	,	PUNCT
ejpam-5613	7	30	banach	banach	NOUN
ejpam-5613	7	31	spaces	space	NOUN
ejpam-5613	7	32	,	,	PUNCT
ejpam-5613	7	33	bochner	bochner	NOUN
ejpam-5613	7	34	integrals	integral	NOUN
ejpam-5613	7	35	,	,	PUNCT
ejpam-5613	7	36	complex	complex	ADJ
ejpam-5613	7	37	-	-	PUNCT
ejpam-5613	7	38	valued	value	VERB
ejpam-5613	7	39	functions	function	NOUN
ejpam-5613	7	40	1	1	NUM
ejpam-5613	7	41	.	.	PUNCT
ejpam-5613	8	1	introduction	introduction	NOUN
ejpam-5613	8	2	many	many	ADJ
ejpam-5613	8	3	fundamental	fundamental	ADJ
ejpam-5613	8	4	inequalities	inequality	NOUN
ejpam-5613	8	5	,	,	PUNCT
ejpam-5613	8	6	of	of	ADP
ejpam-5613	8	7	ostrowski	ostrowski	NOUN
ejpam-5613	8	8	,	,	PUNCT
ejpam-5613	8	9	lubenov	lubenov	NOUN
ejpam-5613	8	10	and	and	CCONJ
ejpam-5613	8	11	hermite	hermite	ADJ
ejpam-5613	8	12	-	-	PUNCT
ejpam-5613	8	13	hadamard	hadamard	ADJ
ejpam-5613	8	14	types	type	NOUN
ejpam-5613	8	15	,	,	PUNCT
ejpam-5613	8	16	play	play	VERB
ejpam-5613	8	17	a	a	DET
ejpam-5613	8	18	crucial	crucial	ADJ
ejpam-5613	8	19	role	role	NOUN
ejpam-5613	8	20	in	in	ADP
ejpam-5613	8	21	the	the	DET
ejpam-5613	8	22	realm	realm	NOUN
ejpam-5613	8	23	of	of	ADP
ejpam-5613	8	24	mathematical	mathematical	ADJ
ejpam-5613	8	25	analysis	analysis	NOUN
ejpam-5613	8	26	[	[	X
ejpam-5613	8	27	2	2	NUM
ejpam-5613	8	28	,	,	PUNCT
ejpam-5613	8	29	12	12	NUM
ejpam-5613	8	30	]	]	PUNCT
ejpam-5613	8	31	.	.	PUNCT
ejpam-5613	9	1	in	in	ADP
ejpam-5613	9	2	addition	addition	NOUN
ejpam-5613	9	3	to	to	ADP
ejpam-5613	9	4	providing	provide	VERB
ejpam-5613	9	5	bound	bound	ADJ
ejpam-5613	9	6	estimates	estimate	NOUN
ejpam-5613	9	7	for	for	ADP
ejpam-5613	9	8	the	the	DET
ejpam-5613	9	9	difference	difference	NOUN
ejpam-5613	9	10	between	between	ADP
ejpam-5613	9	11	functions	function	NOUN
ejpam-5613	9	12	and	and	CCONJ
ejpam-5613	9	13	their	their	PRON
ejpam-5613	9	14	averages	average	NOUN
ejpam-5613	9	15	,	,	PUNCT
ejpam-5613	9	16	these	these	DET
ejpam-5613	9	17	inequalities	inequality	NOUN
ejpam-5613	9	18	form	form	VERB
ejpam-5613	9	19	the	the	DET
ejpam-5613	9	20	basis	basis	NOUN
ejpam-5613	9	21	of	of	ADP
ejpam-5613	9	22	many	many	ADJ
ejpam-5613	9	23	discoveries	discovery	NOUN
ejpam-5613	9	24	in	in	ADP
ejpam-5613	9	25	mathematical	mathematical	ADJ
ejpam-5613	9	26	analysis	analysis	NOUN
ejpam-5613	9	27	.	.	PUNCT
ejpam-5613	10	1	a	a	DET
ejpam-5613	10	2	broad	broad	ADJ
ejpam-5613	10	3	range	range	NOUN
ejpam-5613	10	4	of	of	ADP
ejpam-5613	10	5	their	their	PRON
ejpam-5613	10	6	applications	application	NOUN
ejpam-5613	10	7	has	have	AUX
ejpam-5613	10	8	inspired	inspire	VERB
ejpam-5613	10	9	researchers	researcher	NOUN
ejpam-5613	10	10	from	from	ADP
ejpam-5613	10	11	many	many	ADJ
ejpam-5613	10	12	disciplines	discipline	NOUN
ejpam-5613	10	13	to	to	PART
ejpam-5613	10	14	generalize	generalize	VERB
ejpam-5613	10	15	and	and	CCONJ
ejpam-5613	10	16	extend	extend	VERB
ejpam-5613	10	17	the	the	DET
ejpam-5613	10	18	inequalities	inequality	NOUN
ejpam-5613	10	19	beyond	beyond	ADP
ejpam-5613	10	20	their	their	PRON
ejpam-5613	10	21	classical	classical	ADJ
ejpam-5613	10	22	formulations	formulation	NOUN
ejpam-5613	10	23	.	.	PUNCT
ejpam-5613	11	1	ostrowski	ostrowski	PROPN
ejpam-5613	11	2	’s	’s	PART
ejpam-5613	11	3	inequality	inequality	NOUN
ejpam-5613	11	4	[	[	X
ejpam-5613	11	5	10	10	NUM
ejpam-5613	11	6	]	]	PUNCT
ejpam-5613	11	7	,	,	PUNCT
ejpam-5613	11	8	for	for	ADP
ejpam-5613	11	9	example	example	NOUN
ejpam-5613	11	10	,	,	PUNCT
ejpam-5613	11	11	generalizes	generalize	VERB
ejpam-5613	11	12	functions	function	NOUN
ejpam-5613	11	13	with	with	ADP
ejpam-5613	11	14	precise	precise	ADJ
ejpam-5613	11	15	properties	property	NOUN
ejpam-5613	11	16	including	include	VERB
ejpam-5613	11	17	monotonicity	monotonicity	NOUN
ejpam-5613	11	18	,	,	PUNCT
ejpam-5613	11	19	convexity	convexity	NOUN
ejpam-5613	11	20	and	and	CCONJ
ejpam-5613	11	21	bounded	bound	VERB
ejpam-5613	11	22	variation	variation	NOUN
ejpam-5613	11	23	to	to	PART
ejpam-5613	11	24	estimate	estimate	VERB
ejpam-5613	11	25	bounds	bound	NOUN
ejpam-5613	11	26	for	for	ADP
ejpam-5613	11	27	deviations	deviation	NOUN
ejpam-5613	11	28	between	between	ADP
ejpam-5613	11	29	such	such	ADJ
ejpam-5613	11	30	functions	function	NOUN
ejpam-5613	11	31	and	and	CCONJ
ejpam-5613	11	32	their	their	PRON
ejpam-5613	11	33	averages	average	NOUN
ejpam-5613	11	34	.	.	PUNCT
ejpam-5613	12	1	these	these	DET
ejpam-5613	12	2	fundamental	fundamental	ADJ
ejpam-5613	12	3	inequalities	inequality	NOUN
ejpam-5613	12	4	can	can	AUX
ejpam-5613	12	5	be	be	AUX
ejpam-5613	12	6	more	more	ADV
ejpam-5613	12	7	relevant	relevant	ADJ
ejpam-5613	12	8	in	in	ADP
ejpam-5613	12	9	both	both	CCONJ
ejpam-5613	12	10	pure	pure	ADJ
ejpam-5613	12	11	and	and	CCONJ
ejpam-5613	12	12	applied	apply	VERB
ejpam-5613	12	13	∗corresponding	∗corresponde	VERB
ejpam-5613	12	14	author	author	NOUN
ejpam-5613	12	15	.	.	PUNCT
ejpam-5613	13	1	doi	doi	NOUN
ejpam-5613	13	2	:	:	PUNCT
ejpam-5613	13	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5608	https://doi.org/10.29020/nybg.ejpam.v18i1.5608	NOUN
ejpam-5613	13	4	email	email	NOUN
ejpam-5613	13	5	addresses	address	NOUN
ejpam-5613	13	6	:	:	PUNCT
ejpam-5613	13	7	dr.ohudalmutairi@uhb.edu.sa	dr.ohudalmutairi@uhb.edu.sa	PROPN
ejpam-5613	13	8	(	(	PUNCT
ejpam-5613	13	9	o.	o.	PROPN
ejpam-5613	13	10	b.	b.	PROPN
ejpam-5613	13	11	almutairi	almutairi	PROPN
ejpam-5613	13	12	)	)	PUNCT
ejpam-5613	13	13	,	,	PUNCT
ejpam-5613	13	14	ohudbalmutairi@gmail.com	ohudbalmutairi@gmail.com	X
ejpam-5613	13	15	(	(	PUNCT
ejpam-5613	13	16	o.	o.	PROPN
ejpam-5613	13	17	b.	b.	PROPN
ejpam-5613	13	18	almutairi	almutairi	PROPN
ejpam-5613	13	19	)	)	PUNCT
ejpam-5613	13	20	,	,	PUNCT
ejpam-5613	13	21	mlatif@kfu.edu.sa	mlatif@kfu.edu.sa	PROPN
ejpam-5613	13	22	(	(	PUNCT
ejpam-5613	13	23	m.	m.	PROPN
ejpam-5613	13	24	a.	a.	PROPN
ejpam-5613	13	25	latif	latif	PROPN
ejpam-5613	13	26	)	)	PUNCT
ejpam-5613	13	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5613	13	28	1	1	NUM
ejpam-5613	13	29	copyright	copyright	NOUN
ejpam-5613	13	30	:	:	PUNCT
ejpam-5613	14	1	©	©	PROPN
ejpam-5613	14	2	2025	2025	NUM
ejpam-5613	14	3	the	the	DET
ejpam-5613	14	4	author(s	author(s	NOUN
ejpam-5613	14	5	)	)	PUNCT
ejpam-5613	14	6	.	.	PUNCT
ejpam-5613	15	1	(	(	PUNCT
ejpam-5613	15	2	cc	cc	NOUN
ejpam-5613	15	3	by	by	ADP
ejpam-5613	15	4	-	-	PUNCT
ejpam-5613	15	5	nc	nc	PROPN
ejpam-5613	15	6	4.0	4.0	NUM
ejpam-5613	15	7	)	)	PUNCT
ejpam-5613	15	8	o.	o.	PROPN
ejpam-5613	15	9	b.	b.	PROPN
ejpam-5613	15	10	almutairi	almutairi	PROPN
ejpam-5613	15	11	,	,	PUNCT
ejpam-5613	15	12	m.	m.	NOUN
ejpam-5613	15	13	a.	a.	PROPN
ejpam-5613	15	14	latif	latif	PROPN
ejpam-5613	15	15	/	/	SYM
ejpam-5613	15	16	eur	eur	PROPN
ejpam-5613	15	17	.	.	PUNCT
ejpam-5613	16	1	j.	j.	PROPN
ejpam-5613	16	2	pure	pure	PROPN
ejpam-5613	16	3	appl	appl	PROPN
ejpam-5613	16	4	.	.	PROPN
ejpam-5613	16	5	math	math	PROPN
ejpam-5613	16	6	,	,	PUNCT
ejpam-5613	16	7	18	18	NUM
ejpam-5613	16	8	(	(	PUNCT
ejpam-5613	16	9	1	1	NUM
ejpam-5613	16	10	)	)	PUNCT
ejpam-5613	16	11	(	(	PUNCT
ejpam-5613	16	12	2025	2025	NUM
ejpam-5613	16	13	)	)	PUNCT
ejpam-5613	16	14	,	,	PUNCT
ejpam-5613	16	15	5608	5608	NUM
ejpam-5613	16	16	2	2	NUM
ejpam-5613	16	17	of	of	ADP
ejpam-5613	16	18	33	33	NUM
ejpam-5613	16	19	mathematics	mathematic	NOUN
ejpam-5613	16	20	when	when	SCONJ
ejpam-5613	16	21	their	their	PRON
ejpam-5613	16	22	extensions	extension	NOUN
ejpam-5613	16	23	enhance	enhance	VERB
ejpam-5613	16	24	basic	basic	ADJ
ejpam-5613	16	25	mathematical	mathematical	ADJ
ejpam-5613	16	26	concepts	concept	NOUN
ejpam-5613	16	27	to	to	PART
ejpam-5613	16	28	suitably	suitably	ADV
ejpam-5613	16	29	handle	handle	VERB
ejpam-5613	16	30	variant	variant	ADJ
ejpam-5613	16	31	types	type	NOUN
ejpam-5613	16	32	of	of	ADP
ejpam-5613	16	33	functions	function	NOUN
ejpam-5613	16	34	.	.	PUNCT
ejpam-5613	17	1	the	the	DET
ejpam-5613	17	2	application	application	NOUN
ejpam-5613	17	3	of	of	ADP
ejpam-5613	17	4	these	these	DET
ejpam-5613	17	5	inequalities	inequality	NOUN
ejpam-5613	17	6	exists	exist	VERB
ejpam-5613	17	7	in	in	ADP
ejpam-5613	17	8	numerous	numerous	ADJ
ejpam-5613	17	9	areas	area	NOUN
ejpam-5613	17	10	of	of	ADP
ejpam-5613	17	11	interest	interest	NOUN
ejpam-5613	17	12	,	,	PUNCT
ejpam-5613	17	13	for	for	ADP
ejpam-5613	17	14	example	example	NOUN
ejpam-5613	17	15	,	,	PUNCT
ejpam-5613	17	16	in	in	ADP
ejpam-5613	17	17	applied	applied	ADJ
ejpam-5613	17	18	mathematics	mathematic	NOUN
ejpam-5613	17	19	,	,	PUNCT
ejpam-5613	17	20	the	the	DET
ejpam-5613	17	21	inequalities	inequality	NOUN
ejpam-5613	17	22	are	be	AUX
ejpam-5613	17	23	essential	essential	ADJ
ejpam-5613	17	24	tools	tool	NOUN
ejpam-5613	17	25	for	for	ADP
ejpam-5613	17	26	solving	solve	VERB
ejpam-5613	17	27	differential	differential	ADJ
ejpam-5613	17	28	equations	equation	NOUN
ejpam-5613	17	29	,	,	PUNCT
ejpam-5613	17	30	improving	improve	VERB
ejpam-5613	17	31	bounds	bound	NOUN
ejpam-5613	17	32	of	of	ADP
ejpam-5613	17	33	the	the	DET
ejpam-5613	17	34	solutions	solution	NOUN
ejpam-5613	17	35	,	,	PUNCT
ejpam-5613	17	36	estimating	estimate	VERB
ejpam-5613	17	37	integrals	integral	NOUN
ejpam-5613	17	38	and	and	CCONJ
ejpam-5613	17	39	providing	provide	VERB
ejpam-5613	17	40	accuracy	accuracy	NOUN
ejpam-5613	17	41	of	of	ADP
ejpam-5613	17	42	numerical	numerical	ADJ
ejpam-5613	17	43	methods	method	NOUN
ejpam-5613	17	44	.	.	PUNCT
ejpam-5613	18	1	the	the	DET
ejpam-5613	18	2	inequalities	inequality	NOUN
ejpam-5613	18	3	are	be	AUX
ejpam-5613	18	4	equally	equally	ADV
ejpam-5613	18	5	important	important	ADJ
ejpam-5613	18	6	tools	tool	NOUN
ejpam-5613	18	7	for	for	ADP
ejpam-5613	18	8	approximating	approximate	VERB
ejpam-5613	18	9	the	the	DET
ejpam-5613	18	10	error	error	NOUN
ejpam-5613	18	11	bounds	bound	NOUN
ejpam-5613	18	12	of	of	ADP
ejpam-5613	18	13	numerical	numerical	ADJ
ejpam-5613	18	14	integration	integration	NOUN
ejpam-5613	18	15	,	,	PUNCT
ejpam-5613	18	16	as	as	ADV
ejpam-5613	18	17	well	well	ADV
ejpam-5613	18	18	as	as	ADP
ejpam-5613	18	19	improving	improve	VERB
ejpam-5613	18	20	the	the	DET
ejpam-5613	18	21	accuracy	accuracy	NOUN
ejpam-5613	18	22	of	of	ADP
ejpam-5613	18	23	computational	computational	ADJ
ejpam-5613	18	24	methods	method	NOUN
ejpam-5613	18	25	,	,	PUNCT
ejpam-5613	18	26	like	like	ADP
ejpam-5613	18	27	the	the	DET
ejpam-5613	18	28	simpson	simpson	PROPN
ejpam-5613	18	29	’s	’s	PART
ejpam-5613	18	30	rule	rule	NOUN
ejpam-5613	18	31	and	and	CCONJ
ejpam-5613	18	32	the	the	DET
ejpam-5613	18	33	trapezoidal	trapezoidal	ADJ
ejpam-5613	18	34	rule	rule	NOUN
ejpam-5613	18	35	.	.	PUNCT
ejpam-5613	19	1	in	in	ADP
ejpam-5613	19	2	addition	addition	NOUN
ejpam-5613	19	3	to	to	ADP
ejpam-5613	19	4	simple	simple	ADJ
ejpam-5613	19	5	inequalities	inequality	NOUN
ejpam-5613	19	6	involving	involve	VERB
ejpam-5613	19	7	real	real	ADV
ejpam-5613	19	8	-	-	PUNCT
ejpam-5613	19	9	valued	value	VERB
ejpam-5613	19	10	functions	function	NOUN
ejpam-5613	19	11	,	,	PUNCT
ejpam-5613	19	12	others	other	NOUN
ejpam-5613	19	13	appear	appear	VERB
ejpam-5613	19	14	in	in	ADP
ejpam-5613	19	15	more	more	ADJ
ejpam-5613	19	16	abstract	abstract	ADJ
ejpam-5613	19	17	settings	setting	NOUN
ejpam-5613	19	18	like	like	ADP
ejpam-5613	19	19	banach	banach	NOUN
ejpam-5613	19	20	and	and	CCONJ
ejpam-5613	19	21	hilbert	hilbert	PROPN
ejpam-5613	19	22	spaces	space	NOUN
ejpam-5613	19	23	,	,	PUNCT
ejpam-5613	19	24	two	two	NUM
ejpam-5613	19	25	of	of	ADP
ejpam-5613	19	26	which	which	PRON
ejpam-5613	19	27	,	,	PUNCT
ejpam-5613	19	28	that	that	ADV
ejpam-5613	19	29	is	is	ADV
ejpam-5613	19	30	,	,	PUNCT
ejpam-5613	19	31	ostrowski	ostrowski	NOUN
ejpam-5613	19	32	’s	’s	PART
ejpam-5613	19	33	and	and	CCONJ
ejpam-5613	19	34	hermite	hermite	ADJ
ejpam-5613	19	35	-	-	PUNCT
ejpam-5613	19	36	hadamard	hadamard	PROPN
ejpam-5613	19	37	’s	’s	PART
ejpam-5613	19	38	inequalities	inequality	NOUN
ejpam-5613	19	39	play	play	VERB
ejpam-5613	19	40	a	a	DET
ejpam-5613	19	41	pivotal	pivotal	ADJ
ejpam-5613	19	42	role	role	NOUN
ejpam-5613	19	43	in	in	ADP
ejpam-5613	19	44	developing	develop	VERB
ejpam-5613	19	45	functional	functional	ADJ
ejpam-5613	19	46	analysis	analysis	NOUN
ejpam-5613	19	47	and	and	CCONJ
ejpam-5613	19	48	modern	modern	ADJ
ejpam-5613	19	49	mathematical	mathematical	ADJ
ejpam-5613	19	50	physics	physics	NOUN
ejpam-5613	19	51	.	.	PUNCT
ejpam-5613	20	1	the	the	DET
ejpam-5613	20	2	generalizations	generalization	NOUN
ejpam-5613	20	3	of	of	ADP
ejpam-5613	20	4	these	these	DET
ejpam-5613	20	5	inequalities	inequality	NOUN
ejpam-5613	20	6	in	in	ADP
ejpam-5613	20	7	abstract	abstract	ADJ
ejpam-5613	20	8	vector	vector	NOUN
ejpam-5613	20	9	spaces	space	NOUN
ejpam-5613	20	10	can	can	AUX
ejpam-5613	20	11	provide	provide	VERB
ejpam-5613	20	12	a	a	DET
ejpam-5613	20	13	unified	unified	ADJ
ejpam-5613	20	14	technique	technique	NOUN
ejpam-5613	20	15	through	through	ADP
ejpam-5613	20	16	which	which	PRON
ejpam-5613	20	17	multiple	multiple	ADJ
ejpam-5613	20	18	problems	problem	NOUN
ejpam-5613	20	19	existing	exist	VERB
ejpam-5613	20	20	in	in	ADP
ejpam-5613	20	21	different	different	ADJ
ejpam-5613	20	22	fields	field	NOUN
ejpam-5613	20	23	of	of	ADP
ejpam-5613	20	24	study	study	NOUN
ejpam-5613	20	25	including	include	VERB
ejpam-5613	20	26	approximation	approximation	NOUN
ejpam-5613	20	27	theory	theory	NOUN
ejpam-5613	20	28	,	,	PUNCT
ejpam-5613	20	29	optimization	optimization	NOUN
ejpam-5613	20	30	and	and	CCONJ
ejpam-5613	20	31	quantum	quantum	NOUN
ejpam-5613	20	32	mechanics	mechanic	NOUN
ejpam-5613	20	33	can	can	AUX
ejpam-5613	20	34	be	be	AUX
ejpam-5613	20	35	solved	solve	VERB
ejpam-5613	20	36	.	.	PUNCT
ejpam-5613	21	1	one	one	NUM
ejpam-5613	21	2	of	of	ADP
ejpam-5613	21	3	the	the	DET
ejpam-5613	21	4	important	important	ADJ
ejpam-5613	21	5	integral	integral	ADJ
ejpam-5613	21	6	inequalities	inequality	NOUN
ejpam-5613	21	7	is	be	AUX
ejpam-5613	21	8	known	know	VERB
ejpam-5613	21	9	as	as	ADP
ejpam-5613	21	10	the	the	DET
ejpam-5613	21	11	ostrowski	ostrowski	NOUN
ejpam-5613	21	12	’s	’s	PART
ejpam-5613	21	13	inequality	inequality	NOUN
ejpam-5613	21	14	that	that	PRON
ejpam-5613	21	15	involves	involve	VERB
ejpam-5613	21	16	mappings	mapping	NOUN
ejpam-5613	21	17	with	with	ADP
ejpam-5613	21	18	bounded	bounded	ADJ
ejpam-5613	21	19	derivatives	derivative	NOUN
ejpam-5613	21	20	.	.	PUNCT
ejpam-5613	22	1	as	as	SCONJ
ejpam-5613	22	2	emphasized	emphasize	VERB
ejpam-5613	22	3	earlier	early	ADV
ejpam-5613	22	4	,	,	PUNCT
ejpam-5613	22	5	this	this	DET
ejpam-5613	22	6	inequality	inequality	NOUN
ejpam-5613	22	7	plays	play	VERB
ejpam-5613	22	8	a	a	DET
ejpam-5613	22	9	significant	significant	ADJ
ejpam-5613	22	10	role	role	NOUN
ejpam-5613	22	11	in	in	ADP
ejpam-5613	22	12	approximation	approximation	NOUN
ejpam-5613	22	13	theory	theory	NOUN
ejpam-5613	22	14	and	and	CCONJ
ejpam-5613	22	15	numerical	numerical	ADJ
ejpam-5613	22	16	analysis	analysis	NOUN
ejpam-5613	22	17	where	where	SCONJ
ejpam-5613	22	18	the	the	DET
ejpam-5613	22	19	bound	bind	VERB
ejpam-5613	22	20	for	for	ADP
ejpam-5613	22	21	the	the	DET
ejpam-5613	22	22	deviation	deviation	NOUN
ejpam-5613	22	23	between	between	ADP
ejpam-5613	22	24	the	the	DET
ejpam-5613	22	25	value	value	NOUN
ejpam-5613	22	26	of	of	ADP
ejpam-5613	22	27	a	a	DET
ejpam-5613	22	28	function	function	NOUN
ejpam-5613	22	29	at	at	ADP
ejpam-5613	22	30	a	a	DET
ejpam-5613	22	31	particular	particular	ADJ
ejpam-5613	22	32	point	point	NOUN
ejpam-5613	22	33	and	and	CCONJ
ejpam-5613	22	34	its	its	PRON
ejpam-5613	22	35	average	average	NOUN
ejpam-5613	22	36	can	can	AUX
ejpam-5613	22	37	be	be	AUX
ejpam-5613	22	38	estimated	estimate	VERB
ejpam-5613	22	39	.	.	PUNCT
ejpam-5613	23	1	this	this	DET
ejpam-5613	23	2	inequality	inequality	NOUN
ejpam-5613	23	3	states	state	VERB
ejpam-5613	23	4	that	that	SCONJ
ejpam-5613	23	5	for	for	ADP
ejpam-5613	23	6	a	a	DET
ejpam-5613	23	7	differentiable	differentiable	ADJ
ejpam-5613	23	8	function	function	NOUN
ejpam-5613	23	9	f	f	NOUN
ejpam-5613	23	10	:	:	PUNCT
ejpam-5613	24	1	[	[	X
ejpam-5613	24	2	a	a	X
ejpam-5613	24	3	,	,	PUNCT
ejpam-5613	24	4	b	b	NOUN
ejpam-5613	24	5	]	]	X
ejpam-5613	24	6	→	→	SYM
ejpam-5613	24	7	r	r	NOUN
ejpam-5613	24	8	with	with	ADP
ejpam-5613	24	9	|f	|f	PROPN
ejpam-5613	24	10	′(t)|	′(t)|	ADJ
ejpam-5613	24	11	≤	≤	NUM
ejpam-5613	24	12	m	m	VERB
ejpam-5613	24	13	for	for	ADP
ejpam-5613	24	14	all	all	DET
ejpam-5613	24	15	t	t	NOUN
ejpam-5613	24	16	∈	∈	PROPN
ejpam-5613	24	17	(	(	PUNCT
ejpam-5613	24	18	a	a	DET
ejpam-5613	24	19	,	,	PUNCT
ejpam-5613	24	20	b	b	NOUN
ejpam-5613	24	21	)	)	PUNCT
ejpam-5613	24	22	,	,	PUNCT
ejpam-5613	24	23	the	the	DET
ejpam-5613	24	24	following	follow	VERB
ejpam-5613	24	25	inequality	inequality	NOUN
ejpam-5613	24	26	holds	hold	VERB
ejpam-5613	24	27	for	for	ADP
ejpam-5613	24	28	all	all	DET
ejpam-5613	24	29	x	x	SYM
ejpam-5613	24	30	∈	∈	PROPN
ejpam-5613	24	31	[	[	X
ejpam-5613	24	32	a	a	X
ejpam-5613	24	33	,	,	PUNCT
ejpam-5613	24	34	b	b	NOUN
ejpam-5613	24	35	]	]	X
ejpam-5613	24	36	:	:	PUNCT
ejpam-5613	24	37	∣∣∣∣f(x)−	∣∣∣∣f(x)−	PROPN
ejpam-5613	24	38	1	1	NUM
ejpam-5613	24	39	b−	b−	PROPN
ejpam-5613	24	40	a	a	DET
ejpam-5613	24	41	∫	∫	PROPN
ejpam-5613	24	42	b	b	PROPN
ejpam-5613	24	43	a	a	DET
ejpam-5613	24	44	f(t	f(t	NOUN
ejpam-5613	24	45	)	)	PUNCT
ejpam-5613	24	46	dt	dt	PUNCT
ejpam-5613	24	47	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	24	48	≤	≤	PUNCT
ejpam-5613	24	49	m(b−	m(b−	VERB
ejpam-5613	24	50	a	a	NOUN
ejpam-5613	24	51	)	)	PUNCT
ejpam-5613	24	52	1	1	NOUN
ejpam-5613	24	53	4	4	NUM
ejpam-5613	24	54	+	+	CCONJ
ejpam-5613	24	55	(	(	PUNCT
ejpam-5613	24	56	x−	x−	PROPN
ejpam-5613	24	57	a+b	a+b	NUM
ejpam-5613	24	58	2	2	NUM
ejpam-5613	24	59	b−	b−	NOUN
ejpam-5613	24	60	a	a	PRON
ejpam-5613	24	61	)	)	PUNCT
ejpam-5613	24	62	2	2	NUM
ejpam-5613	24	63			NOUN
ejpam-5613	24	64	.	.	PUNCT
ejpam-5613	25	1	(	(	PUNCT
ejpam-5613	25	2	1.1	1.1	NUM
ejpam-5613	25	3	)	)	PUNCT
ejpam-5613	25	4	other	other	ADJ
ejpam-5613	25	5	inequalities	inequality	NOUN
ejpam-5613	25	6	with	with	ADP
ejpam-5613	25	7	broad	broad	ADJ
ejpam-5613	25	8	applications	application	NOUN
ejpam-5613	25	9	in	in	ADP
ejpam-5613	25	10	numerical	numerical	ADJ
ejpam-5613	25	11	analysis	analysis	NOUN
ejpam-5613	25	12	include	include	VERB
ejpam-5613	25	13	those	those	PRON
ejpam-5613	25	14	of	of	ADP
ejpam-5613	25	15	trapezoidaltypes	trapezoidaltype	NOUN
ejpam-5613	25	16	that	that	PRON
ejpam-5613	25	17	provide	provide	VERB
ejpam-5613	25	18	error	error	NOUN
ejpam-5613	25	19	bounds	bound	NOUN
ejpam-5613	25	20	when	when	SCONJ
ejpam-5613	25	21	evaluating	evaluate	VERB
ejpam-5613	25	22	the	the	DET
ejpam-5613	25	23	integral	integral	NOUN
ejpam-5613	25	24	of	of	ADP
ejpam-5613	25	25	a	a	DET
ejpam-5613	25	26	function	function	NOUN
ejpam-5613	25	27	through	through	ADP
ejpam-5613	25	28	the	the	DET
ejpam-5613	25	29	average	average	NOUN
ejpam-5613	25	30	of	of	ADP
ejpam-5613	25	31	its	its	PRON
ejpam-5613	25	32	values	value	NOUN
ejpam-5613	25	33	at	at	ADP
ejpam-5613	25	34	the	the	DET
ejpam-5613	25	35	boundary	boundary	ADJ
ejpam-5613	25	36	points	point	NOUN
ejpam-5613	25	37	of	of	ADP
ejpam-5613	25	38	an	an	DET
ejpam-5613	25	39	interval	interval	NOUN
ejpam-5613	25	40	[	[	X
ejpam-5613	25	41	7	7	NUM
ejpam-5613	25	42	]	]	PUNCT
ejpam-5613	25	43	.	.	PUNCT
ejpam-5613	26	1	this	this	DET
ejpam-5613	26	2	approach	approach	NOUN
ejpam-5613	26	3	provides	provide	VERB
ejpam-5613	26	4	valuable	valuable	ADJ
ejpam-5613	26	5	insights	insight	NOUN
ejpam-5613	26	6	into	into	ADP
ejpam-5613	26	7	the	the	DET
ejpam-5613	26	8	formulation	formulation	NOUN
ejpam-5613	26	9	of	of	ADP
ejpam-5613	26	10	many	many	ADJ
ejpam-5613	26	11	integral	integral	ADJ
ejpam-5613	26	12	inequalities	inequality	NOUN
ejpam-5613	26	13	.	.	PUNCT
ejpam-5613	27	1	in	in	ADP
ejpam-5613	27	2	addition	addition	NOUN
ejpam-5613	27	3	,	,	PUNCT
ejpam-5613	27	4	the	the	DET
ejpam-5613	27	5	trapezoidal	trapezoidal	ADJ
ejpam-5613	27	6	inequality	inequality	NOUN
ejpam-5613	27	7	has	have	AUX
ejpam-5613	27	8	been	be	AUX
ejpam-5613	27	9	further	far	ADV
ejpam-5613	27	10	developed	develop	VERB
ejpam-5613	27	11	to	to	PART
ejpam-5613	27	12	include	include	VERB
ejpam-5613	27	13	convex	convex	NOUN
ejpam-5613	27	14	functions	function	NOUN
ejpam-5613	27	15	in	in	ADP
ejpam-5613	27	16	a	a	DET
ejpam-5613	27	17	study	study	NOUN
ejpam-5613	27	18	of	of	ADP
ejpam-5613	27	19	pearce	pearce	PROPN
ejpam-5613	27	20	and	and	CCONJ
ejpam-5613	27	21	pecaric[11	pecaric[11	ADP
ejpam-5613	27	22	]	]	PUNCT
ejpam-5613	27	23	,	,	PUNCT
ejpam-5613	27	24	whose	whose	DET
ejpam-5613	27	25	impacts	impact	NOUN
ejpam-5613	27	26	continues	continue	VERB
ejpam-5613	27	27	to	to	PART
ejpam-5613	27	28	manifest	manifest	VERB
ejpam-5613	27	29	in	in	ADP
ejpam-5613	27	30	pure	pure	ADJ
ejpam-5613	27	31	and	and	CCONJ
ejpam-5613	27	32	applied	apply	VERB
ejpam-5613	27	33	related	related	ADJ
ejpam-5613	27	34	disciplines	discipline	NOUN
ejpam-5613	27	35	,	,	PUNCT
ejpam-5613	27	36	such	such	ADJ
ejpam-5613	27	37	as	as	ADP
ejpam-5613	27	38	economics	economic	NOUN
ejpam-5613	27	39	.	.	PUNCT
ejpam-5613	28	1	broader	broad	ADJ
ejpam-5613	28	2	classes	class	NOUN
ejpam-5613	28	3	of	of	ADP
ejpam-5613	28	4	functions	function	NOUN
ejpam-5613	28	5	and	and	CCONJ
ejpam-5613	28	6	spaces	space	NOUN
ejpam-5613	28	7	were	be	AUX
ejpam-5613	28	8	later	later	ADV
ejpam-5613	28	9	emerged	emerge	VERB
ejpam-5613	28	10	generalizing	generalize	VERB
ejpam-5613	28	11	trapezoidal	trapezoidal	ADJ
ejpam-5613	28	12	-	-	PUNCT
ejpam-5613	28	13	type	type	NOUN
ejpam-5613	28	14	inequalities	inequality	NOUN
ejpam-5613	28	15	.	.	PUNCT
ejpam-5613	29	1	this	this	PRON
ejpam-5613	29	2	can	can	AUX
ejpam-5613	29	3	be	be	AUX
ejpam-5613	29	4	seen	see	VERB
ejpam-5613	29	5	in	in	ADP
ejpam-5613	29	6	the	the	DET
ejpam-5613	29	7	work	work	NOUN
ejpam-5613	29	8	of	of	ADP
ejpam-5613	29	9	cerone	cerone	NOUN
ejpam-5613	29	10	et	et	PROPN
ejpam-5613	29	11	al	al	PROPN
ejpam-5613	29	12	.	.	PUNCT
ejpam-5613	30	1	[	[	X
ejpam-5613	30	2	4	4	X
ejpam-5613	30	3	]	]	PUNCT
ejpam-5613	30	4	where	where	SCONJ
ejpam-5613	30	5	trapezoidal	trapezoidal	ADJ
ejpam-5613	30	6	inequalities	inequality	NOUN
ejpam-5613	30	7	were	be	AUX
ejpam-5613	30	8	extended	extend	VERB
ejpam-5613	30	9	to	to	PART
ejpam-5613	30	10	provide	provide	VERB
ejpam-5613	30	11	new	new	ADJ
ejpam-5613	30	12	bounds	bound	NOUN
ejpam-5613	30	13	for	for	ADP
ejpam-5613	30	14	functions	function	NOUN
ejpam-5613	30	15	of	of	ADP
ejpam-5613	30	16	bounded	bounded	ADJ
ejpam-5613	30	17	variation	variation	NOUN
ejpam-5613	30	18	.	.	PUNCT
ejpam-5613	31	1	the	the	DET
ejpam-5613	31	2	trapezoidal	trapezoidal	ADJ
ejpam-5613	31	3	-	-	PUNCT
ejpam-5613	31	4	type	type	NOUN
ejpam-5613	31	5	inequalities	inequality	NOUN
ejpam-5613	31	6	involving	involve	VERB
ejpam-5613	31	7	functions	function	NOUN
ejpam-5613	31	8	with	with	ADP
ejpam-5613	31	9	values	value	NOUN
ejpam-5613	31	10	in	in	ADP
ejpam-5613	31	11	hilbert	hilbert	PROPN
ejpam-5613	31	12	spaces	space	NOUN
ejpam-5613	31	13	present	present	VERB
ejpam-5613	31	14	another	another	DET
ejpam-5613	31	15	generalization	generalization	NOUN
ejpam-5613	31	16	of	of	ADP
ejpam-5613	31	17	such	such	ADJ
ejpam-5613	31	18	inequalities	inequality	NOUN
ejpam-5613	31	19	in	in	ADP
ejpam-5613	31	20	more	more	ADJ
ejpam-5613	31	21	abstract	abstract	ADJ
ejpam-5613	31	22	settings	setting	NOUN
ejpam-5613	31	23	dragmir	dragmir	VERB
ejpam-5613	32	1	[	[	X
ejpam-5613	32	2	5	5	NUM
ejpam-5613	32	3	]	]	PUNCT
ejpam-5613	32	4	.	.	PUNCT
ejpam-5613	33	1	this	this	PRON
ejpam-5613	33	2	has	have	AUX
ejpam-5613	33	3	been	be	AUX
ejpam-5613	33	4	recently	recently	ADV
ejpam-5613	33	5	extended	extend	VERB
ejpam-5613	33	6	by	by	ADP
ejpam-5613	33	7	in	in	ADP
ejpam-5613	33	8	more	more	ADJ
ejpam-5613	33	9	abstract	abstract	ADJ
ejpam-5613	33	10	settings	setting	NOUN
ejpam-5613	33	11	to	to	ADP
ejpam-5613	33	12	[	[	X
ejpam-5613	33	13	9	9	NUM
ejpam-5613	33	14	]	]	PUNCT
ejpam-5613	33	15	involve	involve	VERB
ejpam-5613	33	16	functions	function	NOUN
ejpam-5613	33	17	with	with	ADP
ejpam-5613	33	18	values	value	NOUN
ejpam-5613	33	19	in	in	ADP
ejpam-5613	33	20	banach	banach	NOUN
ejpam-5613	33	21	spaces	space	NOUN
ejpam-5613	33	22	and	and	CCONJ
ejpam-5613	33	23	operator	operator	NOUN
ejpam-5613	33	24	monotone	monotone	NOUN
ejpam-5613	33	25	functions	function	NOUN
ejpam-5613	33	26	.	.	PUNCT
ejpam-5613	34	1	these	these	DET
ejpam-5613	34	2	generalizations	generalization	NOUN
ejpam-5613	34	3	are	be	AUX
ejpam-5613	34	4	of	of	ADP
ejpam-5613	34	5	great	great	ADJ
ejpam-5613	34	6	importance	importance	NOUN
ejpam-5613	34	7	in	in	ADP
ejpam-5613	34	8	optimization	optimization	NOUN
ejpam-5613	34	9	and	and	CCONJ
ejpam-5613	34	10	functional	functional	ADJ
ejpam-5613	34	11	analysis	analysis	NOUN
ejpam-5613	34	12	since	since	SCONJ
ejpam-5613	34	13	they	they	PRON
ejpam-5613	34	14	can	can	AUX
ejpam-5613	34	15	analyze	analyze	VERB
ejpam-5613	34	16	errors	error	NOUN
ejpam-5613	34	17	generated	generate	VERB
ejpam-5613	34	18	from	from	ADP
ejpam-5613	34	19	numerical	numerical	ADJ
ejpam-5613	34	20	integration	integration	NOUN
ejpam-5613	34	21	.	.	PUNCT
ejpam-5613	35	1	several	several	ADJ
ejpam-5613	35	2	extensions	extension	NOUN
ejpam-5613	35	3	are	be	AUX
ejpam-5613	35	4	noted	note	VERB
ejpam-5613	35	5	in	in	ADP
ejpam-5613	35	6	many	many	ADJ
ejpam-5613	35	7	studied	study	VERB
ejpam-5613	35	8	,	,	PUNCT
ejpam-5613	35	9	such	such	ADJ
ejpam-5613	35	10	as	as	ADP
ejpam-5613	35	11	those	those	PRON
ejpam-5613	35	12	by	by	ADP
ejpam-5613	35	13	budak	budak	PROPN
ejpam-5613	35	14	et	et	PROPN
ejpam-5613	35	15	al	al	PROPN
ejpam-5613	35	16	.	.	PUNCT
ejpam-5613	36	1	[	[	X
ejpam-5613	36	2	3	3	NUM
ejpam-5613	36	3	]	]	PUNCT
ejpam-5613	36	4	,	,	PUNCT
ejpam-5613	36	5	alomari	alomari	PROPN
ejpam-5613	37	1	[	[	X
ejpam-5613	37	2	1	1	NUM
ejpam-5613	37	3	]	]	PUNCT
ejpam-5613	37	4	,	,	PUNCT
ejpam-5613	37	5	and	and	CCONJ
ejpam-5613	37	6	tseng	tseng	PROPN
ejpam-5613	37	7	and	and	CCONJ
ejpam-5613	37	8	hwangy	hwangy	VERB
ejpam-5613	37	9	[	[	X
ejpam-5613	37	10	13	13	NUM
ejpam-5613	37	11	]	]	PUNCT
ejpam-5613	37	12	.	.	PUNCT
ejpam-5613	38	1	o.	o.	PROPN
ejpam-5613	38	2	b.	b.	PROPN
ejpam-5613	38	3	almutairi	almutairi	PROPN
ejpam-5613	38	4	,	,	PUNCT
ejpam-5613	38	5	m.	m.	NOUN
ejpam-5613	38	6	a.	a.	PROPN
ejpam-5613	38	7	latif	latif	PROPN
ejpam-5613	38	8	/	/	SYM
ejpam-5613	38	9	eur	eur	PROPN
ejpam-5613	38	10	.	.	PUNCT
ejpam-5613	39	1	j.	j.	PROPN
ejpam-5613	39	2	pure	pure	PROPN
ejpam-5613	39	3	appl	appl	PROPN
ejpam-5613	39	4	.	.	PROPN
ejpam-5613	39	5	math	math	PROPN
ejpam-5613	39	6	,	,	PUNCT
ejpam-5613	39	7	18	18	NUM
ejpam-5613	39	8	(	(	PUNCT
ejpam-5613	39	9	1	1	NUM
ejpam-5613	39	10	)	)	PUNCT
ejpam-5613	39	11	(	(	PUNCT
ejpam-5613	39	12	2025	2025	NUM
ejpam-5613	39	13	)	)	PUNCT
ejpam-5613	39	14	,	,	PUNCT
ejpam-5613	39	15	5608	5608	NUM
ejpam-5613	39	16	3	3	NUM
ejpam-5613	39	17	of	of	ADP
ejpam-5613	39	18	33	33	NUM
ejpam-5613	39	19	the	the	DET
ejpam-5613	39	20	following	following	ADJ
ejpam-5613	39	21	result	result	NOUN
ejpam-5613	39	22	is	be	AUX
ejpam-5613	39	23	of	of	ADP
ejpam-5613	39	24	great	great	ADJ
ejpam-5613	39	25	importance	importance	NOUN
ejpam-5613	39	26	that	that	PRON
ejpam-5613	39	27	gives	give	VERB
ejpam-5613	39	28	the	the	DET
ejpam-5613	39	29	refinement	refinement	NOUN
ejpam-5613	39	30	and	and	CCONJ
ejpam-5613	39	31	reverse	reverse	NOUN
ejpam-5613	39	32	of	of	ADP
ejpam-5613	39	33	the	the	DET
ejpam-5613	39	34	weighted	weight	VERB
ejpam-5613	39	35	trapezoid	trapezoid	ADJ
ejpam-5613	39	36	inequality	inequality	NOUN
ejpam-5613	39	37	as	as	SCONJ
ejpam-5613	39	38	follows	follow	VERB
ejpam-5613	39	39	[	[	X
ejpam-5613	39	40	6	6	NUM
ejpam-5613	39	41	]	]	PUNCT
ejpam-5613	39	42	:	:	PUNCT
ejpam-5613	39	43	theorem	theorem	NOUN
ejpam-5613	39	44	1	1	NUM
ejpam-5613	39	45	.	.	PUNCT
ejpam-5613	40	1	if	if	SCONJ
ejpam-5613	40	2	g	g	NOUN
ejpam-5613	40	3	:	:	PUNCT
ejpam-5613	40	4	[	[	X
ejpam-5613	40	5	a	a	X
ejpam-5613	40	6	,	,	PUNCT
ejpam-5613	40	7	b	b	NOUN
ejpam-5613	40	8	]	]	X
ejpam-5613	40	9	→	→	PUNCT
ejpam-5613	40	10	r	r	NOUN
ejpam-5613	40	11	is	be	AUX
ejpam-5613	40	12	riemann	riemann	PROPN
ejpam-5613	40	13	integrable	integrable	ADJ
ejpam-5613	40	14	on	on	ADP
ejpam-5613	40	15	[	[	X
ejpam-5613	40	16	a	a	DET
ejpam-5613	40	17	,	,	PUNCT
ejpam-5613	40	18	b	b	NOUN
ejpam-5613	40	19	]	]	PUNCT
ejpam-5613	40	20	and	and	CCONJ
ejpam-5613	40	21	f	f	NOUN
ejpam-5613	40	22	:	:	PUNCT
ejpam-5613	41	1	[	[	X
ejpam-5613	41	2	a	a	X
ejpam-5613	41	3	,	,	PUNCT
ejpam-5613	41	4	b	b	NOUN
ejpam-5613	41	5	]	]	X
ejpam-5613	41	6	→	→	PUNCT
ejpam-5613	41	7	r	r	NOUN
ejpam-5613	41	8	is	be	AUX
ejpam-5613	41	9	of	of	ADP
ejpam-5613	41	10	bounded	bounded	ADJ
ejpam-5613	41	11	variation	variation	NOUN
ejpam-5613	41	12	on	on	ADP
ejpam-5613	41	13	[	[	X
ejpam-5613	41	14	a	a	X
ejpam-5613	41	15	,	,	PUNCT
ejpam-5613	41	16	b	b	NOUN
ejpam-5613	41	17	]	]	X
ejpam-5613	41	18	,	,	PUNCT
ejpam-5613	41	19	then∣∣∣∣∫	then∣∣∣∣∫	NOUN
ejpam-5613	41	20	b	b	PROPN
ejpam-5613	41	21	a	a	DET
ejpam-5613	41	22	f(t)g(t)dt−	f(t)g(t)dt−	PROPN
ejpam-5613	41	23	f(b	f(b	PROPN
ejpam-5613	41	24	)	)	PUNCT
ejpam-5613	41	25	∫	∫	PROPN
ejpam-5613	42	1	b	b	PROPN
ejpam-5613	42	2	u	u	PROPN
ejpam-5613	42	3	g(t)dt−	g(t)dt−	PROPN
ejpam-5613	42	4	f(a	f(a	PROPN
ejpam-5613	42	5	)	)	PUNCT
ejpam-5613	42	6	∫	∫	PROPN
ejpam-5613	42	7	u	u	PROPN
ejpam-5613	42	8	a	a	DET
ejpam-5613	42	9	g(t)dt	g(t)dt	PROPN
ejpam-5613	42	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	42	11	≤	≤	NOUN
ejpam-5613	42	12	[	[	PUNCT
ejpam-5613	42	13	1	1	NUM
ejpam-5613	42	14	2	2	NUM
ejpam-5613	42	15	(	(	PUNCT
ejpam-5613	42	16	b−	b−	NOUN
ejpam-5613	42	17	a	a	NOUN
ejpam-5613	42	18	)	)	PUNCT
ejpam-5613	43	1	+	+	CCONJ
ejpam-5613	43	2	∣∣∣∣u−	∣∣∣∣u−	INTJ
ejpam-5613	43	3	a+	a+	PUNCT
ejpam-5613	43	4	b	b	X
ejpam-5613	43	5	2	2	NUM
ejpam-5613	43	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	43	7	]	]	PUNCT
ejpam-5613	43	8	sup	sup	NOUN
ejpam-5613	43	9	t∈[a	t∈[a	NOUN
ejpam-5613	43	10	,	,	PUNCT
ejpam-5613	43	11	b	b	NOUN
ejpam-5613	43	12	]	]	X
ejpam-5613	44	1	|g(t)|	|g(t)|	PROPN
ejpam-5613	44	2	b∨	b∨	PROPN
ejpam-5613	44	3	a	a	DET
ejpam-5613	44	4	(	(	PUNCT
ejpam-5613	44	5	f	f	NOUN
ejpam-5613	44	6	)	)	PUNCT
ejpam-5613	44	7	(	(	PUNCT
ejpam-5613	44	8	1.2	1.2	NUM
ejpam-5613	44	9	)	)	PUNCT
ejpam-5613	44	10	for	for	ADP
ejpam-5613	44	11	all	all	DET
ejpam-5613	44	12	u	u	NOUN
ejpam-5613	44	13	∈	∈	PROPN
ejpam-5613	44	14	[	[	X
ejpam-5613	44	15	a	a	X
ejpam-5613	44	16	,	,	PUNCT
ejpam-5613	44	17	b	b	NOUN
ejpam-5613	44	18	]	]	X
ejpam-5613	44	19	,	,	PUNCT
ejpam-5613	44	20	where	where	SCONJ
ejpam-5613	44	21	∨b	∨b	PROPN
ejpam-5613	44	22	a(f	a(f	PROPN
ejpam-5613	44	23	)	)	PUNCT
ejpam-5613	44	24	is	be	AUX
ejpam-5613	44	25	the	the	DET
ejpam-5613	44	26	total	total	ADJ
ejpam-5613	44	27	variation	variation	NOUN
ejpam-5613	44	28	of	of	ADP
ejpam-5613	44	29	f	f	PROPN
ejpam-5613	44	30	on	on	ADP
ejpam-5613	44	31	[	[	X
ejpam-5613	44	32	a	a	X
ejpam-5613	44	33	,	,	PUNCT
ejpam-5613	44	34	b	b	NOUN
ejpam-5613	44	35	]	]	X
ejpam-5613	44	36	.	.	PUNCT
ejpam-5613	45	1	in	in	ADP
ejpam-5613	45	2	particular	particular	ADJ
ejpam-5613	45	3	,	,	PUNCT
ejpam-5613	45	4	we	we	PRON
ejpam-5613	45	5	have	have	VERB
ejpam-5613	45	6	the	the	DET
ejpam-5613	45	7	mid	mid	ADJ
ejpam-5613	45	8	-	-	NOUN
ejpam-5613	45	9	point	point	NOUN
ejpam-5613	45	10	trapezoid	trapezoid	ADJ
ejpam-5613	45	11	inequality∣∣∣∣∣	inequality∣∣∣∣∣	PROPN
ejpam-5613	45	12	∫	∫	PROPN
ejpam-5613	46	1	b	b	PROPN
ejpam-5613	46	2	a	a	DET
ejpam-5613	46	3	f(t)g(t)dt−	f(t)g(t)dt−	PROPN
ejpam-5613	46	4	f(b	f(b	PROPN
ejpam-5613	46	5	)	)	PUNCT
ejpam-5613	46	6	∫	∫	PROPN
ejpam-5613	46	7	b	b	PROPN
ejpam-5613	46	8	a+b	a+b	NUM
ejpam-5613	46	9	2	2	NUM
ejpam-5613	46	10	g(t)dt−	g(t)dt−	NUM
ejpam-5613	46	11	f(a	f(a	PROPN
ejpam-5613	46	12	)	)	PUNCT
ejpam-5613	46	13	∫	∫	PROPN
ejpam-5613	46	14	a+b	a+b	NUM
ejpam-5613	47	1	2	2	NUM
ejpam-5613	47	2	a	a	DET
ejpam-5613	47	3	g(t)dt	g(t)dt	NOUN
ejpam-5613	47	4	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-5613	47	5	≤	≤	PROPN
ejpam-5613	47	6	1	1	NUM
ejpam-5613	47	7	2	2	NUM
ejpam-5613	47	8	(	(	PUNCT
ejpam-5613	47	9	b−	b−	NOUN
ejpam-5613	47	10	a	a	PRON
ejpam-5613	47	11	)	)	PUNCT
ejpam-5613	47	12	sup	sup	NOUN
ejpam-5613	47	13	t∈[a	t∈[a	NOUN
ejpam-5613	47	14	,	,	PUNCT
ejpam-5613	47	15	b	b	NOUN
ejpam-5613	47	16	]	]	X
ejpam-5613	48	1	|g(t)|	|g(t)|	PROPN
ejpam-5613	48	2	b∨	b∨	PROPN
ejpam-5613	48	3	a	a	DET
ejpam-5613	48	4	(	(	PUNCT
ejpam-5613	48	5	f	f	NOUN
ejpam-5613	48	6	)	)	PUNCT
ejpam-5613	48	7	.	.	PUNCT
ejpam-5613	49	1	(	(	PUNCT
ejpam-5613	49	2	1.3	1.3	NUM
ejpam-5613	49	3	)	)	PUNCT
ejpam-5613	49	4	the	the	DET
ejpam-5613	49	5	constant	constant	ADJ
ejpam-5613	49	6	1/2	1/2	NUM
ejpam-5613	49	7	in	in	ADP
ejpam-5613	49	8	(	(	PUNCT
ejpam-5613	49	9	1.3	1.3	NUM
ejpam-5613	49	10	)	)	PUNCT
ejpam-5613	49	11	is	be	AUX
ejpam-5613	49	12	sharp	sharp	ADJ
ejpam-5613	49	13	in	in	ADP
ejpam-5613	49	14	the	the	DET
ejpam-5613	49	15	sense	sense	NOUN
ejpam-5613	49	16	that	that	SCONJ
ejpam-5613	49	17	it	it	PRON
ejpam-5613	49	18	can	can	AUX
ejpam-5613	49	19	not	not	PART
ejpam-5613	49	20	be	be	AUX
ejpam-5613	49	21	replaced	replace	VERB
ejpam-5613	49	22	by	by	ADP
ejpam-5613	49	23	a	a	DET
ejpam-5613	49	24	smaller	small	ADJ
ejpam-5613	49	25	quantity	quantity	NOUN
ejpam-5613	49	26	.	.	PUNCT
ejpam-5613	50	1	the	the	DET
ejpam-5613	50	2	result	result	NOUN
ejpam-5613	50	3	on	on	ADP
ejpam-5613	50	4	trapezoidal	trapezoidal	ADJ
ejpam-5613	50	5	type	type	NOUN
ejpam-5613	50	6	inequalities	inequality	NOUN
ejpam-5613	50	7	for	for	ADP
ejpam-5613	50	8	operator	operator	NOUN
ejpam-5613	50	9	convex	convex	NOUN
ejpam-5613	50	10	functions	function	NOUN
ejpam-5613	50	11	for	for	ADP
ejpam-5613	50	12	functions	function	NOUN
ejpam-5613	50	13	in	in	ADP
ejpam-5613	50	14	hilbert	hilbert	PROPN
ejpam-5613	50	15	spaces	space	NOUN
ejpam-5613	50	16	h	h	NOUN
ejpam-5613	50	17	followed	follow	VERB
ejpam-5613	50	18	by	by	ADP
ejpam-5613	50	19	the	the	DET
ejpam-5613	50	20	following	follow	VERB
ejpam-5613	50	21	definition	definition	NOUN
ejpam-5613	50	22	is	be	AUX
ejpam-5613	50	23	proved	prove	VERB
ejpam-5613	50	24	by	by	ADP
ejpam-5613	50	25	dragomir	dragomir	VERB
ejpam-5613	50	26	in	in	ADP
ejpam-5613	50	27	[	[	X
ejpam-5613	50	28	8	8	NUM
ejpam-5613	50	29	]	]	PUNCT
ejpam-5613	50	30	:	:	PUNCT
ejpam-5613	50	31	definition	definition	NOUN
ejpam-5613	50	32	1	1	NUM
ejpam-5613	50	33	.	.	PUNCT
ejpam-5613	51	1	[	[	X
ejpam-5613	51	2	8	8	NUM
ejpam-5613	51	3	]	]	X
ejpam-5613	51	4	a	a	DET
ejpam-5613	51	5	continuous	continuous	ADJ
ejpam-5613	51	6	function	function	NOUN
ejpam-5613	51	7	f	f	NOUN
ejpam-5613	51	8	:	:	PUNCT
ejpam-5613	52	1	i	i	PRON
ejpam-5613	52	2	→	→	PUNCT
ejpam-5613	52	3	r	r	NOUN
ejpam-5613	52	4	is	be	AUX
ejpam-5613	52	5	operator	operator	NOUN
ejpam-5613	52	6	convex	convex	NOUN
ejpam-5613	52	7	on	on	ADP
ejpam-5613	52	8	the	the	DET
ejpam-5613	52	9	interval	interval	NOUN
ejpam-5613	52	10	i	i	PRON
ejpam-5613	52	11	if	if	SCONJ
ejpam-5613	52	12	f	f	PROPN
ejpam-5613	52	13	(	(	PUNCT
ejpam-5613	52	14	(	(	PUNCT
ejpam-5613	52	15	1−	1−	NUM
ejpam-5613	52	16	t)a+	t)a+	NOUN
ejpam-5613	52	17	tb	tb	NOUN
ejpam-5613	52	18	)	)	PUNCT
ejpam-5613	52	19	≤	≤	NOUN
ejpam-5613	52	20	(	(	PUNCT
ejpam-5613	52	21	1−	1−	NUM
ejpam-5613	52	22	t	t	PROPN
ejpam-5613	52	23	)	)	PUNCT
ejpam-5613	52	24	f	f	PROPN
ejpam-5613	52	25	(	(	PUNCT
ejpam-5613	52	26	a	a	NOUN
ejpam-5613	52	27	)	)	PUNCT
ejpam-5613	53	1	+	+	CCONJ
ejpam-5613	53	2	tf	tf	ADJ
ejpam-5613	53	3	(	(	PUNCT
ejpam-5613	53	4	b	b	NOUN
ejpam-5613	53	5	)	)	PUNCT
ejpam-5613	53	6	(	(	PUNCT
ejpam-5613	53	7	1.4	1.4	NUM
ejpam-5613	53	8	)	)	PUNCT
ejpam-5613	53	9	for	for	ADP
ejpam-5613	53	10	all	all	DET
ejpam-5613	53	11	t	t	NOUN
ejpam-5613	53	12	∈	∈	PROPN
ejpam-5613	54	1	[	[	X
ejpam-5613	54	2	0	0	NUM
ejpam-5613	54	3	,	,	PUNCT
ejpam-5613	54	4	1	1	NUM
ejpam-5613	54	5	]	]	PUNCT
ejpam-5613	54	6	,	,	PUNCT
ejpam-5613	54	7	where	where	SCONJ
ejpam-5613	54	8	a	a	PRON
ejpam-5613	54	9	and	and	CCONJ
ejpam-5613	54	10	b	b	NOUN
ejpam-5613	54	11	are	be	AUX
ejpam-5613	54	12	selfadjoint	selfadjoint	VERB
ejpam-5613	54	13	operators	operator	NOUN
ejpam-5613	54	14	on	on	ADP
ejpam-5613	54	15	a	a	DET
ejpam-5613	54	16	hilbert	hilbert	NOUN
ejpam-5613	54	17	space	space	NOUN
ejpam-5613	54	18	(	(	PUNCT
ejpam-5613	54	19	h	h	NOUN
ejpam-5613	54	20	,	,	PUNCT
ejpam-5613	54	21	⟨	⟨	NOUN
ejpam-5613	54	22	·	·	SYM
ejpam-5613	54	23	,	,	PUNCT
ejpam-5613	54	24	·	·	PUNCT
ejpam-5613	54	25	⟩	⟩	NOUN
ejpam-5613	54	26	)	)	PUNCT
ejpam-5613	54	27	with	with	ADP
ejpam-5613	54	28	spectra	spectra	PROPN
ejpam-5613	54	29	sp(a	sp(a	PROPN
ejpam-5613	54	30	)	)	PUNCT
ejpam-5613	54	31	,	,	PUNCT
ejpam-5613	54	32	sp(b	sp(b	PROPN
ejpam-5613	54	33	)	)	PUNCT
ejpam-5613	55	1	⊂	⊂	PROPN
ejpam-5613	55	2	i.	i.	NOUN
ejpam-5613	55	3	the	the	DET
ejpam-5613	55	4	finding	finding	NOUN
ejpam-5613	55	5	is	be	AUX
ejpam-5613	55	6	reported	report	VERB
ejpam-5613	55	7	theorem	theorem	VERB
ejpam-5613	55	8	2	2	X
ejpam-5613	55	9	.	.	PUNCT
ejpam-5613	56	1	let	let	VERB
ejpam-5613	56	2	f	f	PRON
ejpam-5613	56	3	be	be	AUX
ejpam-5613	56	4	an	an	DET
ejpam-5613	56	5	operator	operator	NOUN
ejpam-5613	56	6	convex	convex	NOUN
ejpam-5613	56	7	function	function	NOUN
ejpam-5613	56	8	on	on	ADP
ejpam-5613	56	9	i	i	PRON
ejpam-5613	56	10	and	and	CCONJ
ejpam-5613	56	11	a	a	DET
ejpam-5613	56	12	,	,	PUNCT
ejpam-5613	56	13	b	b	NOUN
ejpam-5613	56	14	,	,	PUNCT
ejpam-5613	56	15	a	a	DET
ejpam-5613	56	16	̸=	̸=	PROPN
ejpam-5613	56	17	b	b	NUM
ejpam-5613	56	18	,	,	PUNCT
ejpam-5613	56	19	selfadjoint	selfadjoint	VERB
ejpam-5613	56	20	operators	operator	NOUN
ejpam-5613	56	21	on	on	ADP
ejpam-5613	56	22	h	h	NOUN
ejpam-5613	56	23	with	with	ADP
ejpam-5613	56	24	sp(a	sp(a	NOUN
ejpam-5613	56	25	)	)	PUNCT
ejpam-5613	56	26	,	,	PUNCT
ejpam-5613	56	27	sp(b	sp(b	PROPN
ejpam-5613	56	28	)	)	PUNCT
ejpam-5613	57	1	⊂	⊂	PROPN
ejpam-5613	57	2	i.	i.	PROPN
ejpam-5613	57	3	if	if	SCONJ
ejpam-5613	57	4	f	f	PROPN
ejpam-5613	57	5	is	be	AUX
ejpam-5613	57	6	gâteaux	gâteaux	ADV
ejpam-5613	57	7	differentiable	differentiable	ADJ
ejpam-5613	57	8	on	on	ADP
ejpam-5613	57	9	[	[	X
ejpam-5613	57	10	a	a	DET
ejpam-5613	57	11	,	,	PUNCT
ejpam-5613	57	12	b	b	NOUN
ejpam-5613	57	13	]	]	X
ejpam-5613	57	14	:	:	PUNCT
ejpam-5613	57	15	=	=	SYM
ejpam-5613	57	16	{	{	PUNCT
ejpam-5613	57	17	(	(	PUNCT
ejpam-5613	57	18	1−	1−	NUM
ejpam-5613	57	19	t)a	t)a	X
ejpam-5613	57	20	+	+	CCONJ
ejpam-5613	57	21	tb	tb	NOUN
ejpam-5613	57	22	,	,	PUNCT
ejpam-5613	57	23	t	t	PROPN
ejpam-5613	57	24	∈	∈	PROPN
ejpam-5613	58	1	[	[	X
ejpam-5613	58	2	0	0	NUM
ejpam-5613	58	3	,	,	PUNCT
ejpam-5613	58	4	1	1	NUM
ejpam-5613	58	5	]	]	PUNCT
ejpam-5613	58	6	}	}	PUNCT
ejpam-5613	58	7	and	and	CCONJ
ejpam-5613	58	8	p	p	X
ejpam-5613	58	9	:	:	PUNCT
ejpam-5613	59	1	[	[	X
ejpam-5613	59	2	0	0	NUM
ejpam-5613	59	3	,	,	PUNCT
ejpam-5613	59	4	1	1	NUM
ejpam-5613	59	5	]	]	PUNCT
ejpam-5613	59	6	→	→	X
ejpam-5613	59	7	[	[	X
ejpam-5613	59	8	0,∞	0,∞	NUM
ejpam-5613	59	9	)	)	PUNCT
ejpam-5613	59	10	is	be	AUX
ejpam-5613	59	11	lebesgue	lebesgue	NOUN
ejpam-5613	59	12	integrable	integrable	ADJ
ejpam-5613	59	13	and	and	CCONJ
ejpam-5613	59	14	symmetric	symmetric	ADJ
ejpam-5613	59	15	,	,	PUNCT
ejpam-5613	59	16	namely	namely	ADV
ejpam-5613	59	17	p(1−	p(1−	PROPN
ejpam-5613	59	18	t	t	PROPN
ejpam-5613	59	19	)	)	PUNCT
ejpam-5613	59	20	=	=	SYM
ejpam-5613	59	21	p(t	p(t	NOUN
ejpam-5613	59	22	)	)	PUNCT
ejpam-5613	59	23	for	for	ADP
ejpam-5613	59	24	all	all	DET
ejpam-5613	59	25	t	t	NOUN
ejpam-5613	59	26	∈	∈	PROPN
ejpam-5613	60	1	[	[	X
ejpam-5613	60	2	0	0	NUM
ejpam-5613	60	3	,	,	PUNCT
ejpam-5613	60	4	1	1	NUM
ejpam-5613	60	5	]	]	PUNCT
ejpam-5613	60	6	,	,	PUNCT
ejpam-5613	60	7	then	then	ADV
ejpam-5613	60	8	0	0	NUM
ejpam-5613	60	9	≤	≤	NOUN
ejpam-5613	60	10	(	(	PUNCT
ejpam-5613	60	11	∫	∫	PROPN
ejpam-5613	60	12	1	1	NUM
ejpam-5613	60	13	0	0	NUM
ejpam-5613	60	14	p(t)dt	p(t)dt	PROPN
ejpam-5613	60	15	)	)	PUNCT
ejpam-5613	60	16	f(a	f(a	PROPN
ejpam-5613	60	17	)	)	PUNCT
ejpam-5613	61	1	+	+	CCONJ
ejpam-5613	62	1	f(b	f(b	X
ejpam-5613	62	2	)	)	PUNCT
ejpam-5613	62	3	2	2	NUM
ejpam-5613	62	4	−	−	NOUN
ejpam-5613	62	5	∫	∫	PROPN
ejpam-5613	62	6	1	1	NUM
ejpam-5613	62	7	0	0	NUM
ejpam-5613	62	8	p(t)f((1−	p(t)f((1−	NOUN
ejpam-5613	62	9	t)a+	t)a+	NOUN
ejpam-5613	62	10	tb)dt	tb)dt	SYM
ejpam-5613	62	11	≤	≤	NUM
ejpam-5613	62	12	1	1	NUM
ejpam-5613	62	13	2	2	NUM
ejpam-5613	62	14	∫	∫	NOUN
ejpam-5613	62	15	1	1	NUM
ejpam-5613	62	16	0	0	NUM
ejpam-5613	62	17	(	(	PUNCT
ejpam-5613	62	18	1	1	NUM
ejpam-5613	62	19	2	2	NUM
ejpam-5613	62	20	−	−	NOUN
ejpam-5613	62	21	∣∣∣∣t−	∣∣∣∣t−	VERB
ejpam-5613	62	22	1	1	NUM
ejpam-5613	62	23	2	2	NUM
ejpam-5613	62	24	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	62	25	)	)	PUNCT
ejpam-5613	62	26	p(t)dt	p(t)dt	VERB
ejpam-5613	63	1	[	[	X
ejpam-5613	63	2	∇fb(b	∇fb(b	PROPN
ejpam-5613	63	3	−a)−∇fa(b	−a)−∇fa(b	PROPN
ejpam-5613	63	4	−a	−a	NOUN
ejpam-5613	63	5	)	)	PUNCT
ejpam-5613	63	6	]	]	PUNCT
ejpam-5613	63	7	,	,	PUNCT
ejpam-5613	63	8	(	(	PUNCT
ejpam-5613	63	9	1.5	1.5	NUM
ejpam-5613	63	10	)	)	PUNCT
ejpam-5613	63	11	o.	o.	PROPN
ejpam-5613	63	12	b.	b.	PROPN
ejpam-5613	63	13	almutairi	almutairi	PROPN
ejpam-5613	63	14	,	,	PUNCT
ejpam-5613	63	15	m.	m.	NOUN
ejpam-5613	63	16	a.	a.	PROPN
ejpam-5613	63	17	latif	latif	PROPN
ejpam-5613	63	18	/	/	SYM
ejpam-5613	63	19	eur	eur	PROPN
ejpam-5613	63	20	.	.	PUNCT
ejpam-5613	64	1	j.	j.	PROPN
ejpam-5613	64	2	pure	pure	PROPN
ejpam-5613	64	3	appl	appl	PROPN
ejpam-5613	64	4	.	.	PROPN
ejpam-5613	64	5	math	math	PROPN
ejpam-5613	64	6	,	,	PUNCT
ejpam-5613	64	7	18	18	NUM
ejpam-5613	64	8	(	(	PUNCT
ejpam-5613	64	9	1	1	NUM
ejpam-5613	64	10	)	)	PUNCT
ejpam-5613	64	11	(	(	PUNCT
ejpam-5613	64	12	2025	2025	NUM
ejpam-5613	64	13	)	)	PUNCT
ejpam-5613	64	14	,	,	PUNCT
ejpam-5613	64	15	5608	5608	NUM
ejpam-5613	64	16	4	4	NUM
ejpam-5613	64	17	of	of	ADP
ejpam-5613	64	18	33	33	NUM
ejpam-5613	64	19	where	where	SCONJ
ejpam-5613	64	20	∇fc(v	∇fc(v	NOUN
ejpam-5613	64	21	)	)	PUNCT
ejpam-5613	64	22	is	be	AUX
ejpam-5613	64	23	the	the	DET
ejpam-5613	64	24	gâteaux	gâteaux	ADJ
ejpam-5613	64	25	derivative	derivative	NOUN
ejpam-5613	64	26	in	in	ADP
ejpam-5613	64	27	c	c	PROPN
ejpam-5613	64	28	over	over	ADP
ejpam-5613	64	29	the	the	DET
ejpam-5613	64	30	direction	direction	NOUN
ejpam-5613	64	31	v	v	NOUN
ejpam-5613	64	32	.	.	PUNCT
ejpam-5613	65	1	in	in	ADP
ejpam-5613	65	2	particular	particular	ADJ
ejpam-5613	65	3	,	,	PUNCT
ejpam-5613	65	4	for	for	ADP
ejpam-5613	65	5	p	p	PROPN
ejpam-5613	65	6	≡	≡	PROPN
ejpam-5613	65	7	1	1	NUM
ejpam-5613	65	8	we	we	PRON
ejpam-5613	65	9	get	get	VERB
ejpam-5613	65	10	0	0	NUM
ejpam-5613	65	11	≤	≤	NUM
ejpam-5613	65	12	f(a	f(a	NOUN
ejpam-5613	65	13	)	)	PUNCT
ejpam-5613	66	1	+	+	CCONJ
ejpam-5613	66	2	f(b	f(b	X
ejpam-5613	66	3	)	)	PUNCT
ejpam-5613	66	4	2	2	NUM
ejpam-5613	66	5	−	−	NOUN
ejpam-5613	66	6	∫	∫	PROPN
ejpam-5613	66	7	1	1	NUM
ejpam-5613	66	8	0	0	NUM
ejpam-5613	66	9	f((1−	f((1−	PROPN
ejpam-5613	66	10	t)a+	t)a+	PROPN
ejpam-5613	66	11	tb)dt	tb)dt	SYM
ejpam-5613	66	12	≤	≤	NUM
ejpam-5613	66	13	1	1	NUM
ejpam-5613	66	14	8	8	NUM
ejpam-5613	67	1	[	[	X
ejpam-5613	67	2	∇fb(b	∇fb(b	PRON
ejpam-5613	67	3	−a)−∇fa(b	−a)−∇fa(b	PROPN
ejpam-5613	67	4	−a	−a	NOUN
ejpam-5613	67	5	)	)	PUNCT
ejpam-5613	67	6	]	]	PUNCT
ejpam-5613	67	7	.	.	PUNCT
ejpam-5613	68	1	(	(	PUNCT
ejpam-5613	68	2	1.6	1.6	NUM
ejpam-5613	68	3	)	)	PUNCT
ejpam-5613	68	4	dragomir	dragomir	NOUN
ejpam-5613	68	5	[	[	X
ejpam-5613	68	6	9	9	NUM
ejpam-5613	68	7	]	]	PUNCT
ejpam-5613	68	8	studied	study	VERB
ejpam-5613	68	9	the	the	DET
ejpam-5613	68	10	following	follow	VERB
ejpam-5613	68	11	weighted	weight	VERB
ejpam-5613	68	12	version	version	NOUN
ejpam-5613	68	13	of	of	ADP
ejpam-5613	68	14	generalized	generalized	ADJ
ejpam-5613	68	15	trapezoid	trapezoid	ADJ
ejpam-5613	68	16	inequality	inequality	NOUN
ejpam-5613	68	17	involving	involve	VERB
ejpam-5613	68	18	two	two	NUM
ejpam-5613	68	19	functions	function	NOUN
ejpam-5613	68	20	whose	whose	DET
ejpam-5613	68	21	values	value	NOUN
ejpam-5613	68	22	are	be	AUX
ejpam-5613	68	23	within	within	ADP
ejpam-5613	68	24	banach	banach	NOUN
ejpam-5613	68	25	spaces	space	NOUN
ejpam-5613	68	26	:	:	PUNCT
ejpam-5613	68	27	theorem	theorem	NOUN
ejpam-5613	68	28	3	3	NUM
ejpam-5613	68	29	.	.	PUNCT
ejpam-5613	69	1	[	[	X
ejpam-5613	69	2	9]assume	9]assume	NUM
ejpam-5613	69	3	that	that	SCONJ
ejpam-5613	69	4	α	α	PRON
ejpam-5613	69	5	:	:	PUNCT
ejpam-5613	70	1	[	[	X
ejpam-5613	70	2	a	a	X
ejpam-5613	70	3	,	,	PUNCT
ejpam-5613	70	4	b	b	NOUN
ejpam-5613	70	5	]	]	X
ejpam-5613	70	6	→	→	SYM
ejpam-5613	70	7	c	c	X
ejpam-5613	70	8	,	,	PUNCT
ejpam-5613	70	9	y	y	NOUN
ejpam-5613	70	10	:	:	PUNCT
ejpam-5613	71	1	[	[	X
ejpam-5613	71	2	a	a	X
ejpam-5613	71	3	,	,	PUNCT
ejpam-5613	71	4	b	b	NOUN
ejpam-5613	71	5	]	]	X
ejpam-5613	71	6	→	→	SYM
ejpam-5613	71	7	e	e	X
ejpam-5613	71	8	are	be	AUX
ejpam-5613	71	9	continuous	continuous	ADJ
ejpam-5613	71	10	and	and	CCONJ
ejpam-5613	71	11	y	y	PROPN
ejpam-5613	71	12	is	be	AUX
ejpam-5613	71	13	strongly	strongly	ADV
ejpam-5613	71	14	differentiable	differentiable	ADJ
ejpam-5613	71	15	on	on	ADP
ejpam-5613	71	16	(	(	PUNCT
ejpam-5613	71	17	a	a	DET
ejpam-5613	71	18	,	,	PUNCT
ejpam-5613	71	19	b	b	NOUN
ejpam-5613	71	20	)	)	PUNCT
ejpam-5613	71	21	,	,	PUNCT
ejpam-5613	71	22	then	then	ADV
ejpam-5613	71	23	for	for	ADP
ejpam-5613	71	24	all	all	DET
ejpam-5613	71	25	u	u	NOUN
ejpam-5613	71	26	∈	∈	PROPN
ejpam-5613	71	27	[	[	X
ejpam-5613	71	28	a	a	X
ejpam-5613	71	29	,	,	PUNCT
ejpam-5613	71	30	b]∥∥∥∥(∫	b]∥∥∥∥(∫	NOUN
ejpam-5613	71	31	b	b	X
ejpam-5613	71	32	u	u	NOUN
ejpam-5613	71	33	α(s)ds	α(s)ds	NUM
ejpam-5613	71	34	)	)	PUNCT
ejpam-5613	71	35	y	y	PROPN
ejpam-5613	71	36	(	(	PUNCT
ejpam-5613	71	37	b	b	NOUN
ejpam-5613	71	38	)	)	PUNCT
ejpam-5613	71	39	+	+	CCONJ
ejpam-5613	71	40	(	(	PUNCT
ejpam-5613	71	41	∫	∫	PROPN
ejpam-5613	71	42	u	u	PROPN
ejpam-5613	71	43	a	a	DET
ejpam-5613	71	44	α(s)ds	α(s)ds	NOUN
ejpam-5613	71	45	)	)	PUNCT
ejpam-5613	71	46	y	y	PROPN
ejpam-5613	71	47	(	(	PUNCT
ejpam-5613	71	48	a)−	a)−	PROPN
ejpam-5613	71	49	∫	∫	PROPN
ejpam-5613	71	50	b	b	PROPN
ejpam-5613	71	51	a	a	DET
ejpam-5613	71	52	α(t)y	α(t)y	PROPN
ejpam-5613	71	53	(	(	PUNCT
ejpam-5613	71	54	t)dt	t)dt	PROPN
ejpam-5613	71	55	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	71	56	≤	≤	NUM
ejpam-5613	71	57	c(α	c(α	NOUN
ejpam-5613	71	58	,	,	PUNCT
ejpam-5613	71	59	y	y	PROPN
ejpam-5613	71	60	,	,	PUNCT
ejpam-5613	71	61	u	u	NOUN
ejpam-5613	71	62	)	)	PUNCT
ejpam-5613	71	63	,	,	PUNCT
ejpam-5613	71	64	(	(	PUNCT
ejpam-5613	71	65	1.7	1.7	NUM
ejpam-5613	71	66	)	)	PUNCT
ejpam-5613	72	1	where	where	SCONJ
ejpam-5613	72	2	c(α	c(α	PROPN
ejpam-5613	72	3	,	,	PUNCT
ejpam-5613	72	4	y	y	PROPN
ejpam-5613	72	5	,	,	PUNCT
ejpam-5613	72	6	u	u	NOUN
ejpam-5613	72	7	)	)	PUNCT
ejpam-5613	72	8	:	:	PUNCT
ejpam-5613	73	1	=	=	PUNCT
ejpam-5613	73	2	∫	∫	PROPN
ejpam-5613	73	3	b	b	PROPN
ejpam-5613	73	4	u	u	PROPN
ejpam-5613	73	5	(	(	PUNCT
ejpam-5613	73	6	∫	∫	PROPN
ejpam-5613	73	7	t	t	PROPN
ejpam-5613	73	8	u	u	PROPN
ejpam-5613	73	9	|α(s)|ds	|α(s)|ds	X
ejpam-5613	73	10	)	)	PUNCT
ejpam-5613	73	11	∥∥y	∥∥y	ADJ
ejpam-5613	73	12	′(t	′(t	NOUN
ejpam-5613	73	13	)	)	PUNCT
ejpam-5613	73	14	∥∥	∥∥	PART
ejpam-5613	73	15	dt+	dt+	NOUN
ejpam-5613	73	16	∫	∫	PROPN
ejpam-5613	73	17	u	u	PROPN
ejpam-5613	73	18	a	a	PRON
ejpam-5613	73	19	(	(	PUNCT
ejpam-5613	73	20	∫	∫	PROPN
ejpam-5613	73	21	u	u	X
ejpam-5613	73	22	t	t	PROPN
ejpam-5613	73	23	|α(s)|ds	|α(s)|ds	X
ejpam-5613	73	24	)	)	PUNCT
ejpam-5613	73	25	∥∥y	∥∥y	ADJ
ejpam-5613	73	26	′(t	′(t	NOUN
ejpam-5613	73	27	)	)	PUNCT
ejpam-5613	73	28	∥∥	∥∥	X
ejpam-5613	74	1	dt	dt	NOUN
ejpam-5613	74	2	.	.	PUNCT
ejpam-5613	75	1	we	we	PRON
ejpam-5613	75	2	also	also	ADV
ejpam-5613	75	3	have	have	VERB
ejpam-5613	75	4	the	the	DET
ejpam-5613	75	5	bounds	bound	NOUN
ejpam-5613	75	6	c(α	c(α	PROPN
ejpam-5613	75	7	,	,	PUNCT
ejpam-5613	75	8	y	y	PROPN
ejpam-5613	75	9	,	,	PUNCT
ejpam-5613	75	10	u	u	NOUN
ejpam-5613	75	11	)	)	PUNCT
ejpam-5613	75	12	≤	≤	NUM
ejpam-5613	75	13			NUM
ejpam-5613	75	14	∫	∫	PROPN
ejpam-5613	76	1	b	b	X
ejpam-5613	76	2	u	u	PROPN
ejpam-5613	76	3	|α(s)|ds	|α(s)|ds	X
ejpam-5613	76	4	∫	∫	PROPN
ejpam-5613	76	5	b	b	SYM
ejpam-5613	76	6	u	u	PROPN
ejpam-5613	76	7	∥y	∥y	PROPN
ejpam-5613	76	8	′(t)∥	′(t)∥	X
ejpam-5613	76	9	dt+	dt+	NOUN
ejpam-5613	76	10	(	(	PUNCT
ejpam-5613	76	11	∫	∫	PROPN
ejpam-5613	76	12	u	u	PROPN
ejpam-5613	76	13	a	a	PRON
ejpam-5613	76	14	|α(s)|ds	|α(s)|ds	NOUN
ejpam-5613	76	15	)	)	PUNCT
ejpam-5613	76	16	∫	∫	PROPN
ejpam-5613	76	17	u	u	PROPN
ejpam-5613	76	18	a	a	DET
ejpam-5613	76	19	∥y	∥y	PROPN
ejpam-5613	76	20	′(t)∥	′(t)∥	DET
ejpam-5613	76	21	dt	dt	PROPN
ejpam-5613	76	22	,	,	PUNCT
ejpam-5613	76	23	[	[	X
ejpam-5613	76	24	∫	∫	X
ejpam-5613	76	25	b	b	PROPN
ejpam-5613	76	26	u	u	PROPN
ejpam-5613	76	27	(	(	PUNCT
ejpam-5613	76	28	∫	∫	PROPN
ejpam-5613	76	29	t	t	PROPN
ejpam-5613	76	30	u	u	PROPN
ejpam-5613	76	31	|α(s)|ds	|α(s)|ds	NOUN
ejpam-5613	76	32	)	)	PUNCT
ejpam-5613	76	33	p	p	X
ejpam-5613	76	34	dt	dt	X
ejpam-5613	76	35	]	]	X
ejpam-5613	76	36	1	1	X
ejpam-5613	76	37	/	/	SYM
ejpam-5613	76	38	p	p	X
ejpam-5613	76	39	(	(	PUNCT
ejpam-5613	76	40	∫	∫	PROPN
ejpam-5613	76	41	b	b	PROPN
ejpam-5613	76	42	u	u	PROPN
ejpam-5613	76	43	∥y	∥y	PROPN
ejpam-5613	76	44	′(t)∥q	′(t)∥q	PROPN
ejpam-5613	76	45	dt	dt	NOUN
ejpam-5613	76	46	)	)	PUNCT
ejpam-5613	76	47	1	1	NUM
ejpam-5613	76	48	/	/	SYM
ejpam-5613	76	49	q	q	NOUN
ejpam-5613	77	1	+	+	CCONJ
ejpam-5613	78	1	[	[	X
ejpam-5613	78	2	∫	∫	X
ejpam-5613	78	3	u	u	NOUN
ejpam-5613	78	4	a	a	PRON
ejpam-5613	78	5	(	(	PUNCT
ejpam-5613	78	6	∫	∫	PROPN
ejpam-5613	78	7	u	u	X
ejpam-5613	78	8	t	t	PROPN
ejpam-5613	78	9	|α(s)|ds	|α(s)|ds	NOUN
ejpam-5613	78	10	)	)	PUNCT
ejpam-5613	78	11	p	p	X
ejpam-5613	78	12	dt	dt	X
ejpam-5613	78	13	]	]	X
ejpam-5613	78	14	1	1	X
ejpam-5613	78	15	/	/	SYM
ejpam-5613	78	16	p	p	X
ejpam-5613	78	17	(	(	PUNCT
ejpam-5613	78	18	∫	∫	PROPN
ejpam-5613	78	19	u	u	PROPN
ejpam-5613	78	20	a	a	DET
ejpam-5613	78	21	∥y	∥y	PROPN
ejpam-5613	78	22	′(t)∥q	′(t)∥q	NOUN
ejpam-5613	78	23	dt	dt	NOUN
ejpam-5613	78	24	)	)	PUNCT
ejpam-5613	78	25	1	1	NUM
ejpam-5613	78	26	/	/	SYM
ejpam-5613	78	27	q	q	NOUN
ejpam-5613	78	28	,	,	PUNCT
ejpam-5613	78	29	∫	∫	PROPN
ejpam-5613	78	30	b	b	PROPN
ejpam-5613	78	31	u	u	PROPN
ejpam-5613	78	32	(	(	PUNCT
ejpam-5613	78	33	∫	∫	PROPN
ejpam-5613	78	34	t	t	PROPN
ejpam-5613	78	35	u	u	PROPN
ejpam-5613	78	36	|α(s)|ds	|α(s)|ds	NOUN
ejpam-5613	78	37	)	)	PUNCT
ejpam-5613	78	38	dt	dt	ADP
ejpam-5613	78	39	supt∈[u	supt∈[u	NOUN
ejpam-5613	78	40	,	,	PUNCT
ejpam-5613	78	41	b	b	NOUN
ejpam-5613	78	42	]	]	X
ejpam-5613	78	43	∥y	∥y	PROPN
ejpam-5613	78	44	′(t)∥	′(t)∥	X
ejpam-5613	78	45	+	+	CCONJ
ejpam-5613	78	46	∫	∫	PROPN
ejpam-5613	78	47	u	u	NOUN
ejpam-5613	78	48	a	a	PRON
ejpam-5613	78	49	(	(	PUNCT
ejpam-5613	78	50	∫	∫	PROPN
ejpam-5613	78	51	u	u	X
ejpam-5613	78	52	t	t	PROPN
ejpam-5613	78	53	|α(s)|ds	|α(s)|ds	NOUN
ejpam-5613	78	54	)	)	PUNCT
ejpam-5613	78	55	dt	dt	ADP
ejpam-5613	78	56	supt∈[a	supt∈[a	NOUN
ejpam-5613	78	57	,	,	PUNCT
ejpam-5613	78	58	u	u	NOUN
ejpam-5613	78	59	]	]	X
ejpam-5613	78	60	∥y	∥y	PROPN
ejpam-5613	78	61	′(t)∥	′(t)∥	NOUN
ejpam-5613	78	62	,	,	PUNCT
ejpam-5613	78	63	(	(	PUNCT
ejpam-5613	78	64	1.8	1.8	NUM
ejpam-5613	78	65	)	)	PUNCT
ejpam-5613	78	66	where	where	SCONJ
ejpam-5613	78	67	p	p	X
ejpam-5613	78	68	,	,	PUNCT
ejpam-5613	78	69	q	q	ADJ
ejpam-5613	78	70	>	>	X
ejpam-5613	78	71	1	1	NUM
ejpam-5613	78	72	with	with	ADP
ejpam-5613	78	73	1	1	NUM
ejpam-5613	78	74	p	p	NOUN
ejpam-5613	78	75	+	+	NOUN
ejpam-5613	78	76	1	1	NUM
ejpam-5613	78	77	q	q	NOUN
ejpam-5613	78	78	=	=	ADJ
ejpam-5613	78	79	1	1	X
ejpam-5613	78	80	.	.	PUNCT
ejpam-5613	78	81	most	most	ADJ
ejpam-5613	78	82	fundamental	fundamental	ADJ
ejpam-5613	78	83	inequalities	inequality	NOUN
ejpam-5613	78	84	discussed	discuss	VERB
ejpam-5613	78	85	earlier	early	ADV
ejpam-5613	78	86	are	be	AUX
ejpam-5613	78	87	interconnected	interconnect	VERB
ejpam-5613	78	88	with	with	ADP
ejpam-5613	78	89	banach	banach	NOUN
ejpam-5613	78	90	spaces	space	NOUN
ejpam-5613	78	91	in	in	ADP
ejpam-5613	78	92	different	different	ADJ
ejpam-5613	78	93	areas	area	NOUN
ejpam-5613	78	94	of	of	ADP
ejpam-5613	78	95	mathematical	mathematical	ADJ
ejpam-5613	78	96	analysis	analysis	NOUN
ejpam-5613	78	97	,	,	PUNCT
ejpam-5613	78	98	particularly	particularly	ADV
ejpam-5613	78	99	in	in	ADP
ejpam-5613	78	100	functional	functional	ADJ
ejpam-5613	78	101	analysis	analysis	NOUN
ejpam-5613	78	102	and	and	CCONJ
ejpam-5613	78	103	approximation	approximation	NOUN
ejpam-5613	78	104	theory	theory	NOUN
ejpam-5613	78	105	.	.	PUNCT
ejpam-5613	79	1	inequalities	inequality	NOUN
ejpam-5613	79	2	like	like	ADP
ejpam-5613	79	3	minkowski	minkowski	PROPN
ejpam-5613	79	4	’s	’s	PART
ejpam-5613	79	5	and	and	CCONJ
ejpam-5613	79	6	hölder	hölder	PROPN
ejpam-5613	79	7	’s	’s	PART
ejpam-5613	79	8	inequalities	inequality	NOUN
ejpam-5613	79	9	,	,	PUNCT
ejpam-5613	79	10	as	as	ADV
ejpam-5613	79	11	well	well	ADV
ejpam-5613	79	12	as	as	ADP
ejpam-5613	79	13	convexitybased	convexitybased	ADJ
ejpam-5613	79	14	inequalities	inequality	NOUN
ejpam-5613	79	15	can	can	AUX
ejpam-5613	79	16	be	be	AUX
ejpam-5613	79	17	analyzed	analyze	VERB
ejpam-5613	79	18	through	through	ADP
ejpam-5613	79	19	the	the	DET
ejpam-5613	79	20	direct	direct	ADJ
ejpam-5613	79	21	product	product	NOUN
ejpam-5613	79	22	of	of	ADP
ejpam-5613	79	23	complete	complete	ADJ
ejpam-5613	79	24	normed	normed	ADJ
ejpam-5613	79	25	vector	vector	NOUN
ejpam-5613	79	26	spaces	space	NOUN
ejpam-5613	79	27	,	,	PUNCT
ejpam-5613	79	28	such	such	ADJ
ejpam-5613	79	29	as	as	ADP
ejpam-5613	79	30	banach	banach	NOUN
ejpam-5613	79	31	spaces	space	NOUN
ejpam-5613	79	32	.	.	PUNCT
ejpam-5613	80	1	thus	thus	ADV
ejpam-5613	80	2	,	,	PUNCT
ejpam-5613	80	3	we	we	PRON
ejpam-5613	80	4	consider	consider	VERB
ejpam-5613	80	5	how	how	SCONJ
ejpam-5613	80	6	the	the	DET
ejpam-5613	80	7	structure	structure	NOUN
ejpam-5613	80	8	of	of	ADP
ejpam-5613	80	9	direct	direct	ADJ
ejpam-5613	80	10	product	product	NOUN
ejpam-5613	80	11	of	of	ADP
ejpam-5613	80	12	banach	banach	NOUN
ejpam-5613	80	13	spaces	space	NOUN
ejpam-5613	80	14	relates	relate	VERB
ejpam-5613	80	15	to	to	ADP
ejpam-5613	80	16	these	these	DET
ejpam-5613	80	17	inequalities	inequality	NOUN
ejpam-5613	80	18	.	.	PUNCT
ejpam-5613	80	19	suppose	suppose	VERB
ejpam-5613	80	20	that	that	SCONJ
ejpam-5613	80	21	(	(	PUNCT
ejpam-5613	80	22	x	x	X
ejpam-5613	80	23	,	,	PUNCT
ejpam-5613	80	24	∥	∥	X
ejpam-5613	80	25	·	·	PUNCT
ejpam-5613	80	26	∥x	∥x	NOUN
ejpam-5613	80	27	)	)	PUNCT
ejpam-5613	80	28	and	and	CCONJ
ejpam-5613	80	29	(	(	PUNCT
ejpam-5613	80	30	y	y	PROPN
ejpam-5613	80	31	,	,	PUNCT
ejpam-5613	80	32	∥	∥	X
ejpam-5613	80	33	·	·	PUNCT
ejpam-5613	80	34	∥y	∥y	NOUN
ejpam-5613	80	35	)	)	PUNCT
ejpam-5613	80	36	are	be	AUX
ejpam-5613	80	37	banach	banach	NOUN
ejpam-5613	80	38	spaces	space	NOUN
ejpam-5613	80	39	,	,	PUNCT
ejpam-5613	80	40	and	and	CCONJ
ejpam-5613	80	41	let	let	VERB
ejpam-5613	80	42	v	v	NOUN
ejpam-5613	80	43	=	=	SYM
ejpam-5613	80	44	x×y	x×y	PROPN
ejpam-5613	80	45	(	(	PUNCT
ejpam-5613	80	46	also	also	ADV
ejpam-5613	80	47	a	a	DET
ejpam-5613	80	48	banach	banach	NOUN
ejpam-5613	80	49	space	space	NOUN
ejpam-5613	80	50	with	with	ADP
ejpam-5613	80	51	a	a	DET
ejpam-5613	80	52	suitable	suitable	ADJ
ejpam-5613	80	53	norm	norm	NOUN
ejpam-5613	80	54	)	)	PUNCT
ejpam-5613	80	55	be	be	VERB
ejpam-5613	80	56	their	their	PRON
ejpam-5613	80	57	direct	direct	ADJ
ejpam-5613	80	58	product	product	NOUN
ejpam-5613	80	59	with	with	ADP
ejpam-5613	80	60	component	component	NOUN
ejpam-5613	80	61	-	-	PUNCT
ejpam-5613	80	62	wise	wise	ADJ
ejpam-5613	80	63	operations	operation	NOUN
ejpam-5613	80	64	.	.	PUNCT
ejpam-5613	81	1	therefore	therefore	ADV
ejpam-5613	81	2	,	,	PUNCT
ejpam-5613	81	3	the	the	DET
ejpam-5613	81	4	common	common	ADJ
ejpam-5613	81	5	norms	norm	NOUN
ejpam-5613	81	6	for	for	ADP
ejpam-5613	81	7	the	the	DET
ejpam-5613	81	8	space	space	NOUN
ejpam-5613	81	9	v	v	NOUN
ejpam-5613	81	10	=	=	NOUN
ejpam-5613	81	11	x	x	SYM
ejpam-5613	81	12	×	×	NOUN
ejpam-5613	81	13	y	y	PROPN
ejpam-5613	81	14	are	be	AUX
ejpam-5613	81	15	given	give	VERB
ejpam-5613	81	16	as	as	ADP
ejpam-5613	81	17	:	:	PUNCT
ejpam-5613	81	18	∥(x	∥(x	NOUN
ejpam-5613	81	19	,	,	PUNCT
ejpam-5613	81	20	y)∥x×y	y)∥x×y	NOUN
ejpam-5613	81	21	=	=	SYM
ejpam-5613	81	22	∥x∥x	∥x∥x	PUNCT
ejpam-5613	81	23	+	+	NUM
ejpam-5613	81	24	∥y∥y	∥y∥y	NOUN
ejpam-5613	81	25	,	,	PUNCT
ejpam-5613	81	26	and	and	CCONJ
ejpam-5613	81	27	∥(x	∥(x	NOUN
ejpam-5613	81	28	,	,	PUNCT
ejpam-5613	81	29	y)∥x×y	y)∥x×y	NUM
ejpam-5613	81	30	=	=	SYM
ejpam-5613	81	31	max	max	PROPN
ejpam-5613	81	32	{	{	PUNCT
ejpam-5613	81	33	∥x∥x	∥x∥x	ADV
ejpam-5613	81	34	,	,	PUNCT
ejpam-5613	81	35	∥y∥y	∥y∥y	NOUN
ejpam-5613	81	36	}	}	PUNCT
ejpam-5613	81	37	o.	o.	PROPN
ejpam-5613	81	38	b.	b.	PROPN
ejpam-5613	81	39	almutairi	almutairi	PROPN
ejpam-5613	81	40	,	,	PUNCT
ejpam-5613	81	41	m.	m.	NOUN
ejpam-5613	81	42	a.	a.	PROPN
ejpam-5613	81	43	latif	latif	PROPN
ejpam-5613	81	44	/	/	SYM
ejpam-5613	81	45	eur	eur	PROPN
ejpam-5613	81	46	.	.	PUNCT
ejpam-5613	82	1	j.	j.	PROPN
ejpam-5613	82	2	pure	pure	PROPN
ejpam-5613	82	3	appl	appl	PROPN
ejpam-5613	82	4	.	.	PROPN
ejpam-5613	82	5	math	math	PROPN
ejpam-5613	82	6	,	,	PUNCT
ejpam-5613	82	7	18	18	NUM
ejpam-5613	82	8	(	(	PUNCT
ejpam-5613	82	9	1	1	NUM
ejpam-5613	82	10	)	)	PUNCT
ejpam-5613	82	11	(	(	PUNCT
ejpam-5613	82	12	2025	2025	NUM
ejpam-5613	82	13	)	)	PUNCT
ejpam-5613	82	14	,	,	PUNCT
ejpam-5613	82	15	5608	5608	NUM
ejpam-5613	82	16	5	5	NUM
ejpam-5613	82	17	of	of	ADP
ejpam-5613	82	18	33	33	NUM
ejpam-5613	82	19	or	or	CCONJ
ejpam-5613	82	20	,	,	PUNCT
ejpam-5613	82	21	more	more	ADV
ejpam-5613	82	22	generally	generally	ADV
ejpam-5613	82	23	∥(x	∥(x	NOUN
ejpam-5613	82	24	,	,	PUNCT
ejpam-5613	82	25	y)∥x×y	y)∥x×y	X
ejpam-5613	82	26	=	=	SYM
ejpam-5613	82	27	(	(	PUNCT
ejpam-5613	82	28	∥x∥px	∥x∥px	INTJ
ejpam-5613	82	29	+	+	NUM
ejpam-5613	82	30	∥y∥py	∥y∥py	X
ejpam-5613	82	31	)	)	PUNCT
ejpam-5613	82	32	1	1	NUM
ejpam-5613	82	33	p	p	NOUN
ejpam-5613	82	34	,	,	PUNCT
ejpam-5613	82	35	for	for	ADP
ejpam-5613	82	36	all	all	DET
ejpam-5613	82	37	(	(	PUNCT
ejpam-5613	82	38	x	x	NOUN
ejpam-5613	82	39	,	,	PUNCT
ejpam-5613	82	40	y	y	NOUN
ejpam-5613	82	41	)	)	PUNCT
ejpam-5613	82	42	∈	∈	NOUN
ejpam-5613	82	43	v	v	NOUN
ejpam-5613	82	44	=	=	SYM
ejpam-5613	82	45	x	x	SYM
ejpam-5613	82	46	×	×	PROPN
ejpam-5613	82	47	y	y	PROPN
ejpam-5613	82	48	,	,	PUNCT
ejpam-5613	83	1	where	where	SCONJ
ejpam-5613	83	2	1	1	NUM
ejpam-5613	83	3	≤	≤	NOUN
ejpam-5613	83	4	p	p	NOUN
ejpam-5613	83	5	<	<	X
ejpam-5613	83	6	∞.	∞.	PROPN
ejpam-5613	83	7	whenever	whenever	SCONJ
ejpam-5613	83	8	an	an	DET
ejpam-5613	83	9	innovative	innovative	ADJ
ejpam-5613	83	10	idea	idea	NOUN
ejpam-5613	83	11	in	in	ADP
ejpam-5613	83	12	mathematics	mathematics	NOUN
ejpam-5613	83	13	takes	take	VERB
ejpam-5613	83	14	a	a	DET
ejpam-5613	83	15	form	form	NOUN
ejpam-5613	83	16	of	of	ADP
ejpam-5613	83	17	a	a	DET
ejpam-5613	83	18	mathematical	mathematical	ADJ
ejpam-5613	83	19	result	result	NOUN
ejpam-5613	83	20	,	,	PUNCT
ejpam-5613	83	21	it	it	PRON
ejpam-5613	83	22	becomes	become	VERB
ejpam-5613	83	23	an	an	DET
ejpam-5613	83	24	inspiration	inspiration	NOUN
ejpam-5613	83	25	and	and	CCONJ
ejpam-5613	83	26	motivation	motivation	NOUN
ejpam-5613	83	27	to	to	ADP
ejpam-5613	83	28	mathematicians	mathematician	NOUN
ejpam-5613	83	29	.	.	PUNCT
ejpam-5613	84	1	mathematicians	mathematician	NOUN
ejpam-5613	84	2	try	try	VERB
ejpam-5613	84	3	to	to	PART
ejpam-5613	84	4	improve	improve	VERB
ejpam-5613	84	5	,	,	PUNCT
ejpam-5613	84	6	refine	refine	VERB
ejpam-5613	84	7	or	or	CCONJ
ejpam-5613	84	8	generalise	generalise	VERB
ejpam-5613	84	9	results	result	NOUN
ejpam-5613	84	10	of	of	ADP
ejpam-5613	84	11	such	such	ADJ
ejpam-5613	84	12	innovative	innovative	ADJ
ejpam-5613	84	13	notions	notion	NOUN
ejpam-5613	84	14	and	and	CCONJ
ejpam-5613	84	15	seek	seek	VERB
ejpam-5613	84	16	applications	application	NOUN
ejpam-5613	84	17	of	of	ADP
ejpam-5613	84	18	those	those	DET
ejpam-5613	84	19	results	result	NOUN
ejpam-5613	84	20	in	in	ADP
ejpam-5613	84	21	other	other	ADJ
ejpam-5613	84	22	fields	field	NOUN
ejpam-5613	84	23	of	of	ADP
ejpam-5613	84	24	mathematical	mathematical	ADJ
ejpam-5613	84	25	and	and	CCONJ
ejpam-5613	84	26	physical	physical	ADJ
ejpam-5613	84	27	sciences	science	NOUN
ejpam-5613	84	28	.	.	PUNCT
ejpam-5613	85	1	the	the	DET
ejpam-5613	85	2	main	main	ADJ
ejpam-5613	85	3	inspiration	inspiration	NOUN
ejpam-5613	85	4	of	of	ADP
ejpam-5613	85	5	our	our	PRON
ejpam-5613	85	6	current	current	ADJ
ejpam-5613	85	7	study	study	NOUN
ejpam-5613	85	8	are	be	AUX
ejpam-5613	85	9	the	the	DET
ejpam-5613	85	10	results	result	NOUN
ejpam-5613	85	11	of	of	ADP
ejpam-5613	85	12	established	establish	VERB
ejpam-5613	85	13	in	in	ADP
ejpam-5613	85	14	dragomir	dragomir	NOUN
ejpam-5613	85	15	[	[	X
ejpam-5613	85	16	9	9	NUM
ejpam-5613	85	17	]	]	PUNCT
ejpam-5613	85	18	.	.	PUNCT
ejpam-5613	86	1	the	the	DET
ejpam-5613	86	2	results	result	NOUN
ejpam-5613	86	3	conducted	conduct	VERB
ejpam-5613	86	4	in	in	ADP
ejpam-5613	86	5	this	this	DET
ejpam-5613	86	6	study	study	NOUN
ejpam-5613	86	7	were	be	AUX
ejpam-5613	86	8	proven	prove	VERB
ejpam-5613	86	9	are	be	AUX
ejpam-5613	86	10	the	the	DET
ejpam-5613	86	11	weighted	weight	VERB
ejpam-5613	86	12	trapezoidal	trapezoidal	ADJ
ejpam-5613	86	13	-	-	PUNCT
ejpam-5613	86	14	type	type	NOUN
ejpam-5613	86	15	inequalities	inequality	NOUN
ejpam-5613	86	16	for	for	ADP
ejpam-5613	86	17	the	the	DET
ejpam-5613	86	18	product	product	NOUN
ejpam-5613	86	19	of	of	ADP
ejpam-5613	86	20	two	two	NUM
ejpam-5613	86	21	functions	function	NOUN
ejpam-5613	86	22	of	of	ADP
ejpam-5613	86	23	one	one	NUM
ejpam-5613	86	24	of	of	ADP
ejpam-5613	86	25	which	which	PRON
ejpam-5613	86	26	takes	take	VERB
ejpam-5613	86	27	values	value	NOUN
ejpam-5613	86	28	in	in	ADP
ejpam-5613	86	29	the	the	DET
ejpam-5613	86	30	banach	banach	NOUN
ejpam-5613	86	31	spaces	space	NOUN
ejpam-5613	86	32	and	and	CCONJ
ejpam-5613	86	33	the	the	DET
ejpam-5613	86	34	second	second	ADJ
ejpam-5613	86	35	function	function	NOUN
ejpam-5613	86	36	takes	take	VERB
ejpam-5613	86	37	the	the	DET
ejpam-5613	86	38	values	value	NOUN
ejpam-5613	86	39	the	the	DET
ejpam-5613	86	40	complex	complex	ADJ
ejpam-5613	86	41	plane	plane	NOUN
ejpam-5613	86	42	.	.	PUNCT
ejpam-5613	87	1	the	the	DET
ejpam-5613	87	2	idea	idea	NOUN
ejpam-5613	87	3	is	be	AUX
ejpam-5613	87	4	quite	quite	ADV
ejpam-5613	87	5	logical	logical	ADJ
ejpam-5613	87	6	since	since	SCONJ
ejpam-5613	87	7	the	the	DET
ejpam-5613	87	8	product	product	NOUN
ejpam-5613	87	9	of	of	ADP
ejpam-5613	87	10	a	a	DET
ejpam-5613	87	11	scalar	scalar	ADJ
ejpam-5613	87	12	(	(	PUNCT
ejpam-5613	87	13	value	value	NOUN
ejpam-5613	87	14	of	of	ADP
ejpam-5613	87	15	function	function	NOUN
ejpam-5613	87	16	that	that	PRON
ejpam-5613	87	17	takes	take	VERB
ejpam-5613	87	18	values	value	NOUN
ejpam-5613	87	19	in	in	ADP
ejpam-5613	87	20	the	the	DET
ejpam-5613	87	21	complex	complex	ADJ
ejpam-5613	87	22	plane	plane	NOUN
ejpam-5613	87	23	)	)	PUNCT
ejpam-5613	87	24	and	and	CCONJ
ejpam-5613	87	25	a	a	DET
ejpam-5613	87	26	vector	vector	NOUN
ejpam-5613	87	27	(	(	PUNCT
ejpam-5613	87	28	the	the	DET
ejpam-5613	87	29	value	value	NOUN
ejpam-5613	87	30	of	of	ADP
ejpam-5613	87	31	function	function	NOUN
ejpam-5613	87	32	that	that	PRON
ejpam-5613	87	33	takes	take	VERB
ejpam-5613	87	34	values	value	NOUN
ejpam-5613	87	35	in	in	ADP
ejpam-5613	87	36	the	the	DET
ejpam-5613	87	37	banach	banach	NOUN
ejpam-5613	87	38	space	space	NOUN
ejpam-5613	87	39	)	)	PUNCT
ejpam-5613	87	40	is	be	AUX
ejpam-5613	87	41	defined	define	VERB
ejpam-5613	87	42	.	.	PUNCT
ejpam-5613	88	1	dragomir	dragomir	PROPN
ejpam-5613	88	2	[	[	X
ejpam-5613	88	3	9	9	NUM
ejpam-5613	88	4	]	]	PUNCT
ejpam-5613	88	5	utilized	utilize	VERB
ejpam-5613	88	6	the	the	DET
ejpam-5613	88	7	the	the	DET
ejpam-5613	88	8	integration	integration	NOUN
ejpam-5613	88	9	by	by	ADP
ejpam-5613	88	10	parts	part	NOUN
ejpam-5613	88	11	formula	formula	NOUN
ejpam-5613	88	12	for	for	ADP
ejpam-5613	88	13	bochner	bochner	NOUN
ejpam-5613	88	14	integral	integral	ADJ
ejpam-5613	88	15	,	,	PUNCT
ejpam-5613	88	16	properties	property	NOUN
ejpam-5613	88	17	of	of	ADP
ejpam-5613	88	18	norm	norm	NOUN
ejpam-5613	88	19	,	,	PUNCT
ejpam-5613	88	20	hölder	hölder	PROPN
ejpam-5613	88	21	’s	’s	PART
ejpam-5613	88	22	inequality	inequality	NOUN
ejpam-5613	88	23	and	and	CCONJ
ejpam-5613	88	24	techniques	technique	NOUN
ejpam-5613	88	25	of	of	ADP
ejpam-5613	88	26	analysis	analysis	NOUN
ejpam-5613	88	27	in	in	ADP
ejpam-5613	88	28	banach	banach	NOUN
ejpam-5613	88	29	spaces	space	NOUN
ejpam-5613	88	30	to	to	PART
ejpam-5613	88	31	obtain	obtain	VERB
ejpam-5613	88	32	his	his	PRON
ejpam-5613	88	33	results	result	NOUN
ejpam-5613	88	34	.	.	PUNCT
ejpam-5613	89	1	motivated	motivate	VERB
ejpam-5613	89	2	by	by	ADP
ejpam-5613	89	3	the	the	DET
ejpam-5613	89	4	study	study	NOUN
ejpam-5613	89	5	of	of	ADP
ejpam-5613	89	6	dragomir	dragomir	NOUN
ejpam-5613	89	7	[	[	X
ejpam-5613	89	8	9	9	NUM
ejpam-5613	89	9	]	]	PUNCT
ejpam-5613	89	10	to	to	PART
ejpam-5613	89	11	prove	prove	VERB
ejpam-5613	89	12	some	some	DET
ejpam-5613	89	13	similar	similar	ADJ
ejpam-5613	89	14	innovative	innovative	ADJ
ejpam-5613	89	15	results	result	NOUN
ejpam-5613	89	16	to	to	ADP
ejpam-5613	89	17	the	the	DET
ejpam-5613	89	18	product	product	NOUN
ejpam-5613	89	19	of	of	ADP
ejpam-5613	89	20	functions	function	NOUN
ejpam-5613	89	21	,	,	PUNCT
ejpam-5613	89	22	one	one	NUM
ejpam-5613	89	23	of	of	ADP
ejpam-5613	89	24	which	which	PRON
ejpam-5613	89	25	have	have	VERB
ejpam-5613	89	26	values	value	NOUN
ejpam-5613	89	27	in	in	ADP
ejpam-5613	89	28	the	the	DET
ejpam-5613	89	29	complex	complex	ADJ
ejpam-5613	89	30	plane	plane	NOUN
ejpam-5613	89	31	and	and	CCONJ
ejpam-5613	89	32	the	the	DET
ejpam-5613	89	33	other	other	ADJ
ejpam-5613	89	34	have	have	VERB
ejpam-5613	89	35	values	value	NOUN
ejpam-5613	89	36	in	in	ADP
ejpam-5613	89	37	the	the	DET
ejpam-5613	89	38	direct	direct	ADJ
ejpam-5613	89	39	product	product	NOUN
ejpam-5613	89	40	of	of	ADP
ejpam-5613	89	41	two	two	NUM
ejpam-5613	89	42	banach	banach	NOUN
ejpam-5613	89	43	spaces	space	VERB
ejpam-5613	89	44	together	together	ADV
ejpam-5613	89	45	with	with	ADP
ejpam-5613	89	46	the	the	DET
ejpam-5613	89	47	norms	norm	NOUN
ejpam-5613	89	48	as	as	SCONJ
ejpam-5613	89	49	defined	define	VERB
ejpam-5613	89	50	above	above	ADV
ejpam-5613	89	51	.	.	PUNCT
ejpam-5613	90	1	we	we	PRON
ejpam-5613	90	2	have	have	AUX
ejpam-5613	90	3	also	also	ADV
ejpam-5613	90	4	used	use	VERB
ejpam-5613	90	5	the	the	DET
ejpam-5613	90	6	integration	integration	NOUN
ejpam-5613	90	7	by	by	ADP
ejpam-5613	90	8	parts	part	NOUN
ejpam-5613	90	9	technique	technique	NOUN
ejpam-5613	90	10	for	for	ADP
ejpam-5613	90	11	bochner	bochner	NOUN
ejpam-5613	90	12	integrals	integral	NOUN
ejpam-5613	90	13	for	for	ADP
ejpam-5613	90	14	functions	function	NOUN
ejpam-5613	90	15	of	of	ADP
ejpam-5613	90	16	two	two	NUM
ejpam-5613	90	17	variables	variable	NOUN
ejpam-5613	90	18	and	and	CCONJ
ejpam-5613	90	19	principles	principle	NOUN
ejpam-5613	90	20	of	of	ADP
ejpam-5613	90	21	analysis	analysis	NOUN
ejpam-5613	90	22	for	for	ADP
ejpam-5613	90	23	functions	function	NOUN
ejpam-5613	90	24	that	that	PRON
ejpam-5613	90	25	take	take	VERB
ejpam-5613	90	26	values	value	NOUN
ejpam-5613	90	27	in	in	ADP
ejpam-5613	90	28	the	the	DET
ejpam-5613	90	29	product	product	NOUN
ejpam-5613	90	30	of	of	ADP
ejpam-5613	90	31	banach	banach	NOUN
ejpam-5613	90	32	spaces	space	NOUN
ejpam-5613	90	33	to	to	PART
ejpam-5613	90	34	demonstrate	demonstrate	VERB
ejpam-5613	90	35	the	the	DET
ejpam-5613	90	36	results	result	NOUN
ejpam-5613	90	37	of	of	ADP
ejpam-5613	90	38	this	this	DET
ejpam-5613	90	39	study	study	NOUN
ejpam-5613	90	40	.	.	PUNCT
ejpam-5613	91	1	the	the	DET
ejpam-5613	91	2	results	result	NOUN
ejpam-5613	91	3	are	be	AUX
ejpam-5613	91	4	original	original	ADJ
ejpam-5613	91	5	as	as	ADP
ejpam-5613	91	6	no	no	DET
ejpam-5613	91	7	such	such	ADJ
ejpam-5613	91	8	studies	study	NOUN
ejpam-5613	91	9	have	have	AUX
ejpam-5613	91	10	been	be	AUX
ejpam-5613	91	11	seen	see	VERB
ejpam-5613	91	12	in	in	ADP
ejpam-5613	91	13	any	any	DET
ejpam-5613	91	14	previously	previously	ADV
ejpam-5613	91	15	conducted	conduct	VERB
ejpam-5613	91	16	studies	study	NOUN
ejpam-5613	91	17	so	so	ADV
ejpam-5613	91	18	far	far	ADV
ejpam-5613	91	19	and	and	CCONJ
ejpam-5613	91	20	thus	thus	ADV
ejpam-5613	91	21	our	our	PRON
ejpam-5613	91	22	results	result	NOUN
ejpam-5613	91	23	can	can	AUX
ejpam-5613	91	24	be	be	AUX
ejpam-5613	91	25	very	very	ADV
ejpam-5613	91	26	useful	useful	ADJ
ejpam-5613	91	27	for	for	ADP
ejpam-5613	91	28	further	further	ADJ
ejpam-5613	91	29	exploration	exploration	NOUN
ejpam-5613	91	30	of	of	ADP
ejpam-5613	91	31	the	the	DET
ejpam-5613	91	32	topic	topic	NOUN
ejpam-5613	91	33	of	of	ADP
ejpam-5613	91	34	inequalities	inequality	NOUN
ejpam-5613	91	35	for	for	ADP
ejpam-5613	91	36	functions	function	NOUN
ejpam-5613	91	37	with	with	ADP
ejpam-5613	91	38	values	value	NOUN
ejpam-5613	91	39	in	in	ADP
ejpam-5613	91	40	product	product	NOUN
ejpam-5613	91	41	banach	banach	NOUN
ejpam-5613	91	42	spaces	space	NOUN
ejpam-5613	91	43	and	and	CCONJ
ejpam-5613	91	44	even	even	ADV
ejpam-5613	91	45	in	in	ADP
ejpam-5613	91	46	more	more	ADV
ejpam-5613	91	47	general	general	ADJ
ejpam-5613	91	48	abstract	abstract	ADJ
ejpam-5613	91	49	spaces	space	NOUN
ejpam-5613	91	50	.	.	PUNCT
ejpam-5613	92	1	2	2	X
ejpam-5613	92	2	.	.	X
ejpam-5613	92	3	main	main	ADJ
ejpam-5613	92	4	results	result	NOUN
ejpam-5613	92	5	we	we	PRON
ejpam-5613	92	6	present	present	VERB
ejpam-5613	92	7	our	our	PRON
ejpam-5613	92	8	first	first	ADJ
ejpam-5613	92	9	results	result	NOUN
ejpam-5613	92	10	generalized	generalize	VERB
ejpam-5613	92	11	trapezoidal	trapezoidal	ADJ
ejpam-5613	92	12	-	-	PUNCT
ejpam-5613	92	13	type	type	NOUN
ejpam-5613	92	14	inequalities	inequality	NOUN
ejpam-5613	92	15	for	for	ADP
ejpam-5613	92	16	a	a	DET
ejpam-5613	92	17	two	two	NUM
ejpam-5613	92	18	-	-	PUNCT
ejpam-5613	92	19	variable	variable	NOUN
ejpam-5613	92	20	function	function	NOUN
ejpam-5613	92	21	within	within	ADP
ejpam-5613	92	22	banach	banach	NOUN
ejpam-5613	92	23	spaces	space	NOUN
ejpam-5613	92	24	.	.	PUNCT
ejpam-5613	93	1	theorem	theorem	ADJ
ejpam-5613	93	2	4	4	NUM
ejpam-5613	93	3	.	.	PUNCT
ejpam-5613	93	4	assume	assume	VERB
ejpam-5613	93	5	that	that	SCONJ
ejpam-5613	93	6	α	α	PRON
ejpam-5613	93	7	:	:	PUNCT
ejpam-5613	94	1	[	[	X
ejpam-5613	94	2	a	a	X
ejpam-5613	94	3	,	,	PUNCT
ejpam-5613	94	4	b	b	NOUN
ejpam-5613	94	5	]	]	X
ejpam-5613	94	6	×	×	NOUN
ejpam-5613	94	7	[	[	X
ejpam-5613	94	8	c	c	X
ejpam-5613	94	9	,	,	PUNCT
ejpam-5613	94	10	d	d	X
ejpam-5613	94	11	]	]	X
ejpam-5613	94	12	→	→	SYM
ejpam-5613	94	13	c	c	PROPN
ejpam-5613	94	14	and	and	CCONJ
ejpam-5613	94	15	y	y	NOUN
ejpam-5613	94	16	:	:	PUNCT
ejpam-5613	95	1	[	[	X
ejpam-5613	95	2	a	a	X
ejpam-5613	95	3	,	,	PUNCT
ejpam-5613	95	4	b	b	NOUN
ejpam-5613	95	5	]	]	X
ejpam-5613	95	6	×	×	NOUN
ejpam-5613	95	7	[	[	X
ejpam-5613	95	8	c	c	X
ejpam-5613	95	9	,	,	PUNCT
ejpam-5613	95	10	d	d	X
ejpam-5613	95	11	]	]	X
ejpam-5613	95	12	→	→	PUNCT
ejpam-5613	95	13	e1	e1	PROPN
ejpam-5613	95	14	×	×	PROPN
ejpam-5613	95	15	e2	e2	NOUN
ejpam-5613	95	16	are	be	AUX
ejpam-5613	95	17	continuous	continuous	ADJ
ejpam-5613	95	18	and	and	CCONJ
ejpam-5613	95	19	∂y	∂y	PROPN
ejpam-5613	95	20	∂t	∂t	PROPN
ejpam-5613	95	21	,	,	PUNCT
ejpam-5613	95	22	∂y	∂y	PROPN
ejpam-5613	95	23	∂w	∂w	PROPN
ejpam-5613	95	24	,	,	PUNCT
ejpam-5613	95	25	∂2y	∂2y	PROPN
ejpam-5613	95	26	∂t∂w	∂t∂w	NOUN
ejpam-5613	95	27	exist	exist	VERB
ejpam-5613	95	28	on	on	ADP
ejpam-5613	95	29	(	(	PUNCT
ejpam-5613	95	30	a	a	PRON
ejpam-5613	95	31	,	,	PUNCT
ejpam-5613	95	32	b	b	NOUN
ejpam-5613	95	33	)	)	PUNCT
ejpam-5613	95	34	×	×	NOUN
ejpam-5613	95	35	(	(	PUNCT
ejpam-5613	95	36	c	c	X
ejpam-5613	95	37	,	,	PUNCT
ejpam-5613	95	38	d	d	NOUN
ejpam-5613	95	39	)	)	PUNCT
ejpam-5613	95	40	in	in	ADP
ejpam-5613	95	41	the	the	DET
ejpam-5613	95	42	norm	norm	NOUN
ejpam-5613	95	43	topology	topology	NOUN
ejpam-5613	95	44	∥(x	∥(x	NOUN
ejpam-5613	95	45	,	,	PUNCT
ejpam-5613	95	46	y)∥x×y	y)∥x×y	NOUN
ejpam-5613	95	47	=	=	SYM
ejpam-5613	95	48	∥x∥x	∥x∥x	PUNCT
ejpam-5613	95	49	+	+	NUM
ejpam-5613	95	50	∥y∥y	∥y∥y	NOUN
ejpam-5613	95	51	of	of	ADP
ejpam-5613	95	52	e1	e1	PROPN
ejpam-5613	95	53	×	×	PROPN
ejpam-5613	95	54	e2	e2	PROPN
ejpam-5613	95	55	,	,	PUNCT
ejpam-5613	95	56	(	(	PUNCT
ejpam-5613	95	57	x	x	NOUN
ejpam-5613	95	58	,	,	PUNCT
ejpam-5613	95	59	y	y	NOUN
ejpam-5613	95	60	)	)	PUNCT
ejpam-5613	95	61	∈	∈	PROPN
ejpam-5613	95	62	e1	e1	PROPN
ejpam-5613	95	63	×	×	PROPN
ejpam-5613	95	64	e2	e2	PROPN
ejpam-5613	95	65	,	,	PUNCT
ejpam-5613	95	66	then	then	ADV
ejpam-5613	95	67	we	we	PRON
ejpam-5613	95	68	get	get	VERB
ejpam-5613	95	69	the	the	DET
ejpam-5613	95	70	following	follow	VERB
ejpam-5613	95	71	inequalities	inequality	NOUN
ejpam-5613	95	72	for	for	ADP
ejpam-5613	95	73	all	all	DET
ejpam-5613	95	74	(	(	PUNCT
ejpam-5613	95	75	u	u	NOUN
ejpam-5613	95	76	,	,	PUNCT
ejpam-5613	95	77	v	v	NOUN
ejpam-5613	95	78	)	)	PUNCT
ejpam-5613	95	79	∈	∈	NOUN
ejpam-5613	96	1	[	[	X
ejpam-5613	96	2	a	a	X
ejpam-5613	96	3	,	,	PUNCT
ejpam-5613	96	4	b]×	b]×	NOUN
ejpam-5613	97	1	[	[	X
ejpam-5613	97	2	c	c	X
ejpam-5613	97	3	,	,	PUNCT
ejpam-5613	97	4	d	d	X
ejpam-5613	97	5	]	]	X
ejpam-5613	97	6	for	for	ADP
ejpam-5613	97	7	p	p	NOUN
ejpam-5613	97	8	,	,	PUNCT
ejpam-5613	97	9	q	q	ADJ
ejpam-5613	97	10	>	>	X
ejpam-5613	97	11	1	1	NUM
ejpam-5613	97	12	and	and	CCONJ
ejpam-5613	97	13	1	1	NUM
ejpam-5613	97	14	p	p	NOUN
ejpam-5613	98	1	+	+	NOUN
ejpam-5613	98	2	1	1	NUM
ejpam-5613	98	3	q	q	NOUN
ejpam-5613	98	4	=	=	NOUN
ejpam-5613	98	5	1	1	NUM
ejpam-5613	98	6	:	:	PUNCT
ejpam-5613	98	7	∥∥∥∥(∫	∥∥∥∥(∫	PROPN
ejpam-5613	98	8	b	b	SYM
ejpam-5613	98	9	u	u	NOUN
ejpam-5613	98	10	∫	∫	PROPN
ejpam-5613	98	11	d	d	X
ejpam-5613	98	12	v	v	ADP
ejpam-5613	98	13	α	α	PROPN
ejpam-5613	98	14	(	(	PUNCT
ejpam-5613	98	15	s	s	X
ejpam-5613	98	16	,	,	PUNCT
ejpam-5613	98	17	r	r	NOUN
ejpam-5613	98	18	)	)	PUNCT
ejpam-5613	98	19	drds	drd	NOUN
ejpam-5613	98	20	)	)	PUNCT
ejpam-5613	99	1	y	y	PROPN
ejpam-5613	99	2	(	(	PUNCT
ejpam-5613	99	3	b	b	NOUN
ejpam-5613	99	4	,	,	PUNCT
ejpam-5613	99	5	d	d	NOUN
ejpam-5613	99	6	)	)	PUNCT
ejpam-5613	100	1	+	+	CCONJ
ejpam-5613	100	2	(	(	PUNCT
ejpam-5613	100	3	∫	∫	PROPN
ejpam-5613	100	4	u	u	PROPN
ejpam-5613	100	5	a	a	DET
ejpam-5613	100	6	∫	∫	PROPN
ejpam-5613	100	7	d	d	X
ejpam-5613	100	8	v	v	ADP
ejpam-5613	100	9	α	α	PROPN
ejpam-5613	100	10	(	(	PUNCT
ejpam-5613	100	11	s	s	X
ejpam-5613	100	12	,	,	PUNCT
ejpam-5613	100	13	r	r	NOUN
ejpam-5613	100	14	)	)	PUNCT
ejpam-5613	100	15	drds	drd	NOUN
ejpam-5613	100	16	)	)	PUNCT
ejpam-5613	100	17	y	y	PROPN
ejpam-5613	100	18	(	(	PUNCT
ejpam-5613	100	19	a	a	DET
ejpam-5613	100	20	,	,	PUNCT
ejpam-5613	100	21	d	d	NOUN
ejpam-5613	100	22	)	)	PUNCT
ejpam-5613	101	1	+	+	CCONJ
ejpam-5613	101	2	(	(	PUNCT
ejpam-5613	101	3	∫	∫	PROPN
ejpam-5613	101	4	b	b	SYM
ejpam-5613	101	5	u	u	PROPN
ejpam-5613	101	6	∫	∫	PROPN
ejpam-5613	101	7	v	v	X
ejpam-5613	101	8	c	c	PROPN
ejpam-5613	101	9	α	α	PROPN
ejpam-5613	101	10	(	(	PUNCT
ejpam-5613	101	11	s	s	X
ejpam-5613	101	12	,	,	PUNCT
ejpam-5613	101	13	r	r	NOUN
ejpam-5613	101	14	)	)	PUNCT
ejpam-5613	101	15	drds	drd	NOUN
ejpam-5613	101	16	)	)	PUNCT
ejpam-5613	101	17	y	y	PROPN
ejpam-5613	101	18	(	(	PUNCT
ejpam-5613	101	19	b	b	NOUN
ejpam-5613	101	20	,	,	PUNCT
ejpam-5613	101	21	c	c	NOUN
ejpam-5613	101	22	)	)	PUNCT
ejpam-5613	102	1	+	+	CCONJ
ejpam-5613	102	2	(	(	PUNCT
ejpam-5613	102	3	∫	∫	PROPN
ejpam-5613	102	4	u	u	PROPN
ejpam-5613	102	5	a	a	DET
ejpam-5613	102	6	∫	∫	PROPN
ejpam-5613	102	7	v	v	NOUN
ejpam-5613	102	8	c	c	NOUN
ejpam-5613	102	9	α	α	PROPN
ejpam-5613	102	10	(	(	PUNCT
ejpam-5613	102	11	s	s	X
ejpam-5613	102	12	,	,	PUNCT
ejpam-5613	102	13	r	r	NOUN
ejpam-5613	102	14	)	)	PUNCT
ejpam-5613	102	15	drds	drd	NOUN
ejpam-5613	102	16	)	)	PUNCT
ejpam-5613	102	17	y	y	PROPN
ejpam-5613	102	18	(	(	PUNCT
ejpam-5613	102	19	a	a	PRON
ejpam-5613	102	20	,	,	PUNCT
ejpam-5613	102	21	c	c	NOUN
ejpam-5613	102	22	)	)	PUNCT
ejpam-5613	103	1	−	−	NOUN
ejpam-5613	103	2	∫	∫	PROPN
ejpam-5613	104	1	b	b	PROPN
ejpam-5613	104	2	a	a	DET
ejpam-5613	104	3	y	y	PROPN
ejpam-5613	104	4	(	(	PUNCT
ejpam-5613	104	5	t	t	PROPN
ejpam-5613	104	6	,	,	PUNCT
ejpam-5613	104	7	d	d	NOUN
ejpam-5613	104	8	)	)	PUNCT
ejpam-5613	104	9	(	(	PUNCT
ejpam-5613	104	10	∫	∫	PROPN
ejpam-5613	104	11	d	d	X
ejpam-5613	104	12	v	v	ADP
ejpam-5613	104	13	α	α	PROPN
ejpam-5613	104	14	(	(	PUNCT
ejpam-5613	104	15	t	t	PROPN
ejpam-5613	104	16	,	,	PUNCT
ejpam-5613	104	17	r	r	NOUN
ejpam-5613	104	18	)	)	PUNCT
ejpam-5613	104	19	dr	dr	PROPN
ejpam-5613	104	20	)	)	PUNCT
ejpam-5613	104	21	dt−	dt−	PROPN
ejpam-5613	104	22	∫	∫	PROPN
ejpam-5613	105	1	b	b	PROPN
ejpam-5613	105	2	a	a	DET
ejpam-5613	105	3	y	y	PROPN
ejpam-5613	105	4	(	(	PUNCT
ejpam-5613	105	5	t	t	PROPN
ejpam-5613	105	6	,	,	PUNCT
ejpam-5613	105	7	c	c	NOUN
ejpam-5613	105	8	)	)	PUNCT
ejpam-5613	105	9	(	(	PUNCT
ejpam-5613	105	10	∫	∫	PROPN
ejpam-5613	105	11	v	v	X
ejpam-5613	105	12	c	c	PROPN
ejpam-5613	105	13	α	α	PROPN
ejpam-5613	105	14	(	(	PUNCT
ejpam-5613	105	15	t	t	PROPN
ejpam-5613	105	16	,	,	PUNCT
ejpam-5613	105	17	r	r	NOUN
ejpam-5613	105	18	)	)	PUNCT
ejpam-5613	105	19	dr	dr	PROPN
ejpam-5613	105	20	)	)	PUNCT
ejpam-5613	105	21	dt	dt	PROPN
ejpam-5613	106	1	o.	o.	PROPN
ejpam-5613	106	2	b.	b.	PROPN
ejpam-5613	106	3	almutairi	almutairi	PROPN
ejpam-5613	106	4	,	,	PUNCT
ejpam-5613	106	5	m.	m.	NOUN
ejpam-5613	106	6	a.	a.	PROPN
ejpam-5613	106	7	latif	latif	PROPN
ejpam-5613	106	8	/	/	SYM
ejpam-5613	106	9	eur	eur	PROPN
ejpam-5613	106	10	.	.	PUNCT
ejpam-5613	107	1	j.	j.	PROPN
ejpam-5613	107	2	pure	pure	PROPN
ejpam-5613	107	3	appl	appl	PROPN
ejpam-5613	107	4	.	.	PROPN
ejpam-5613	107	5	math	math	PROPN
ejpam-5613	107	6	,	,	PUNCT
ejpam-5613	107	7	18	18	NUM
ejpam-5613	107	8	(	(	PUNCT
ejpam-5613	107	9	1	1	NUM
ejpam-5613	107	10	)	)	PUNCT
ejpam-5613	107	11	(	(	PUNCT
ejpam-5613	107	12	2025	2025	NUM
ejpam-5613	107	13	)	)	PUNCT
ejpam-5613	107	14	,	,	PUNCT
ejpam-5613	107	15	5608	5608	NUM
ejpam-5613	107	16	6	6	NUM
ejpam-5613	107	17	of	of	ADP
ejpam-5613	107	18	33	33	NUM
ejpam-5613	107	19	−	−	NOUN
ejpam-5613	107	20	∫	∫	PROPN
ejpam-5613	108	1	d	d	X
ejpam-5613	108	2	c	c	PROPN
ejpam-5613	108	3	y	y	PROPN
ejpam-5613	108	4	(	(	PUNCT
ejpam-5613	108	5	b	b	PROPN
ejpam-5613	108	6	,	,	PUNCT
ejpam-5613	108	7	w	w	NOUN
ejpam-5613	108	8	)	)	PUNCT
ejpam-5613	108	9	(	(	PUNCT
ejpam-5613	108	10	∫	∫	PROPN
ejpam-5613	108	11	b	b	PROPN
ejpam-5613	108	12	u	u	PROPN
ejpam-5613	108	13	α	α	PROPN
ejpam-5613	108	14	(	(	PUNCT
ejpam-5613	108	15	s	s	PROPN
ejpam-5613	108	16	,	,	PUNCT
ejpam-5613	108	17	w	w	NOUN
ejpam-5613	108	18	)	)	PUNCT
ejpam-5613	108	19	ds	ds	ADJ
ejpam-5613	108	20	)	)	PUNCT
ejpam-5613	108	21	dw	dw	NOUN
ejpam-5613	109	1	−	−	PROPN
ejpam-5613	109	2	∫	∫	PROPN
ejpam-5613	110	1	d	d	X
ejpam-5613	110	2	c	c	PROPN
ejpam-5613	110	3	y	y	PROPN
ejpam-5613	110	4	(	(	PUNCT
ejpam-5613	110	5	a	a	DET
ejpam-5613	110	6	,	,	PUNCT
ejpam-5613	110	7	w	w	NOUN
ejpam-5613	110	8	)	)	PUNCT
ejpam-5613	110	9	(	(	PUNCT
ejpam-5613	110	10	∫	∫	PROPN
ejpam-5613	110	11	u	u	PROPN
ejpam-5613	110	12	a	a	DET
ejpam-5613	110	13	α	α	X
ejpam-5613	110	14	(	(	PUNCT
ejpam-5613	110	15	s	s	PROPN
ejpam-5613	110	16	,	,	PUNCT
ejpam-5613	110	17	w	w	NOUN
ejpam-5613	110	18	)	)	PUNCT
ejpam-5613	110	19	ds	ds	ADJ
ejpam-5613	110	20	)	)	PUNCT
ejpam-5613	110	21	dw	dw	PROPN
ejpam-5613	111	1	+	+	CCONJ
ejpam-5613	111	2	∫	∫	PROPN
ejpam-5613	111	3	b	b	PROPN
ejpam-5613	111	4	a	a	DET
ejpam-5613	111	5	∫	∫	PROPN
ejpam-5613	111	6	d	d	X
ejpam-5613	111	7	c	c	PROPN
ejpam-5613	111	8	α	α	PROPN
ejpam-5613	111	9	(	(	PUNCT
ejpam-5613	111	10	t	t	PROPN
ejpam-5613	111	11	,	,	PUNCT
ejpam-5613	111	12	w)y	w)y	X
ejpam-5613	111	13	(	(	PUNCT
ejpam-5613	111	14	t	t	PROPN
ejpam-5613	111	15	,	,	PUNCT
ejpam-5613	111	16	w	w	NOUN
ejpam-5613	111	17	)	)	PUNCT
ejpam-5613	111	18	dwdt	dwdt	NOUN
ejpam-5613	111	19	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	111	20	e1×e2	e1×e2	VERB
ejpam-5613	111	21	≤	≤	NUM
ejpam-5613	111	22	b	b	X
ejpam-5613	111	23	(	(	PUNCT
ejpam-5613	111	24	α	α	NOUN
ejpam-5613	111	25	,	,	PUNCT
ejpam-5613	111	26	y	y	PROPN
ejpam-5613	111	27	,	,	PUNCT
ejpam-5613	111	28	u	u	NOUN
ejpam-5613	111	29	,	,	PUNCT
ejpam-5613	111	30	v	v	NOUN
ejpam-5613	111	31	)	)	PUNCT
ejpam-5613	111	32	,	,	PUNCT
ejpam-5613	111	33	(	(	PUNCT
ejpam-5613	111	34	2.1	2.1	NUM
ejpam-5613	111	35	)	)	PUNCT
ejpam-5613	111	36	where	where	SCONJ
ejpam-5613	111	37	b	b	X
ejpam-5613	111	38	(	(	PUNCT
ejpam-5613	111	39	α	α	NOUN
ejpam-5613	111	40	,	,	PUNCT
ejpam-5613	111	41	y	y	PROPN
ejpam-5613	111	42	,	,	PUNCT
ejpam-5613	111	43	u	u	NOUN
ejpam-5613	111	44	,	,	PUNCT
ejpam-5613	111	45	v	v	NOUN
ejpam-5613	111	46	)	)	PUNCT
ejpam-5613	111	47	:	:	PUNCT
ejpam-5613	112	1	=	=	PUNCT
ejpam-5613	112	2	∫	∫	PROPN
ejpam-5613	112	3	b	b	SYM
ejpam-5613	112	4	u	u	PROPN
ejpam-5613	112	5	∫	∫	PROPN
ejpam-5613	112	6	d	d	X
ejpam-5613	112	7	v	v	PROPN
ejpam-5613	112	8	(	(	PUNCT
ejpam-5613	112	9	∫	∫	PROPN
ejpam-5613	112	10	t	t	PROPN
ejpam-5613	112	11	u	u	PROPN
ejpam-5613	112	12	∫	∫	PROPN
ejpam-5613	112	13	w	w	PROPN
ejpam-5613	112	14	v	v	PROPN
ejpam-5613	112	15	|α	|α	NOUN
ejpam-5613	112	16	(	(	PUNCT
ejpam-5613	112	17	s	s	PROPN
ejpam-5613	112	18	,	,	PUNCT
ejpam-5613	112	19	r)|	r)|	ADJ
ejpam-5613	112	20	drds	drd	NOUN
ejpam-5613	112	21	)	)	PUNCT
ejpam-5613	112	22	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	112	23	∂2	∂2	NUM
ejpam-5613	112	24	∂w∂t	∂w∂t	ADJ
ejpam-5613	112	25	y	y	PROPN
ejpam-5613	112	26	(	(	PUNCT
ejpam-5613	112	27	t	t	PROPN
ejpam-5613	112	28	,	,	PUNCT
ejpam-5613	112	29	w	w	PROPN
ejpam-5613	112	30	)	)	PUNCT
ejpam-5613	112	31	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	113	1	e1×e2	e1×e2	VERB
ejpam-5613	113	2	dwdt	dwdt	NOUN
ejpam-5613	113	3	+	+	CCONJ
ejpam-5613	113	4	∫	∫	PROPN
ejpam-5613	113	5	u	u	NOUN
ejpam-5613	113	6	a	a	DET
ejpam-5613	113	7	∫	∫	PROPN
ejpam-5613	113	8	d	d	X
ejpam-5613	113	9	v	v	PROPN
ejpam-5613	113	10	(	(	PUNCT
ejpam-5613	113	11	∫	∫	PROPN
ejpam-5613	113	12	u	u	NOUN
ejpam-5613	113	13	t	t	PROPN
ejpam-5613	113	14	∫	∫	PROPN
ejpam-5613	113	15	w	w	PROPN
ejpam-5613	113	16	v	v	PROPN
ejpam-5613	113	17	|α	|α	NOUN
ejpam-5613	113	18	(	(	PUNCT
ejpam-5613	113	19	s	s	PROPN
ejpam-5613	113	20	,	,	PUNCT
ejpam-5613	113	21	r)|	r)|	ADJ
ejpam-5613	113	22	drds	drd	NOUN
ejpam-5613	113	23	)	)	PUNCT
ejpam-5613	113	24	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	114	1	∂2	∂2	NUM
ejpam-5613	114	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	114	3	y	y	PROPN
ejpam-5613	114	4	(	(	PUNCT
ejpam-5613	114	5	t	t	PROPN
ejpam-5613	114	6	,	,	PUNCT
ejpam-5613	114	7	w	w	PROPN
ejpam-5613	114	8	)	)	PUNCT
ejpam-5613	114	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	115	1	e1×e2	e1×e2	VERB
ejpam-5613	115	2	dwdt	dwdt	NOUN
ejpam-5613	115	3	+	+	CCONJ
ejpam-5613	115	4	∫	∫	PROPN
ejpam-5613	115	5	b	b	X
ejpam-5613	115	6	u	u	PROPN
ejpam-5613	115	7	∫	∫	PROPN
ejpam-5613	115	8	v	v	PROPN
ejpam-5613	115	9	c	c	PROPN
ejpam-5613	115	10	(	(	PUNCT
ejpam-5613	115	11	∫	∫	PROPN
ejpam-5613	115	12	t	t	PROPN
ejpam-5613	115	13	u	u	X
ejpam-5613	115	14	∫	∫	PROPN
ejpam-5613	115	15	v	v	PROPN
ejpam-5613	115	16	w	w	PROPN
ejpam-5613	115	17	|α	|α	PROPN
ejpam-5613	115	18	(	(	PUNCT
ejpam-5613	115	19	s	s	PROPN
ejpam-5613	115	20	,	,	PUNCT
ejpam-5613	115	21	r)|	r)|	ADJ
ejpam-5613	115	22	drds	drd	NOUN
ejpam-5613	115	23	)	)	PUNCT
ejpam-5613	115	24	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	116	1	∂2	∂2	NUM
ejpam-5613	116	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	116	3	y	y	PROPN
ejpam-5613	116	4	(	(	PUNCT
ejpam-5613	116	5	t	t	PROPN
ejpam-5613	116	6	,	,	PUNCT
ejpam-5613	116	7	w	w	PROPN
ejpam-5613	116	8	)	)	PUNCT
ejpam-5613	116	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	117	1	e1×e2	e1×e2	VERB
ejpam-5613	117	2	dwdt	dwdt	NOUN
ejpam-5613	117	3	+	+	CCONJ
ejpam-5613	117	4	∫	∫	PROPN
ejpam-5613	117	5	u	u	PROPN
ejpam-5613	117	6	a	a	DET
ejpam-5613	117	7	∫	∫	PROPN
ejpam-5613	117	8	v	v	ADP
ejpam-5613	117	9	c	c	PROPN
ejpam-5613	117	10	(	(	PUNCT
ejpam-5613	117	11	∫	∫	PROPN
ejpam-5613	117	12	u	u	X
ejpam-5613	117	13	t	t	PROPN
ejpam-5613	117	14	∫	∫	PROPN
ejpam-5613	117	15	v	v	PROPN
ejpam-5613	117	16	w	w	PROPN
ejpam-5613	117	17	|α	|α	PROPN
ejpam-5613	117	18	(	(	PUNCT
ejpam-5613	117	19	s	s	PROPN
ejpam-5613	117	20	,	,	PUNCT
ejpam-5613	117	21	r)|	r)|	ADJ
ejpam-5613	117	22	drds	drd	NOUN
ejpam-5613	117	23	)	)	PUNCT
ejpam-5613	117	24	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	118	1	∂2	∂2	NUM
ejpam-5613	118	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	118	3	y	y	PROPN
ejpam-5613	118	4	(	(	PUNCT
ejpam-5613	118	5	t	t	PROPN
ejpam-5613	118	6	,	,	PUNCT
ejpam-5613	118	7	w	w	PROPN
ejpam-5613	118	8	)	)	PUNCT
ejpam-5613	118	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	119	1	e1×e2	e1×e2	VERB
ejpam-5613	119	2	dwdt	dwdt	NOUN
ejpam-5613	119	3	.	.	PUNCT
ejpam-5613	120	1	(	(	PUNCT
ejpam-5613	120	2	2.2	2.2	NUM
ejpam-5613	120	3	)	)	PUNCT
ejpam-5613	120	4	we	we	PRON
ejpam-5613	120	5	also	also	ADV
ejpam-5613	120	6	have	have	VERB
ejpam-5613	120	7	the	the	DET
ejpam-5613	120	8	following	follow	VERB
ejpam-5613	120	9	bounds	bound	NOUN
ejpam-5613	120	10	for	for	ADP
ejpam-5613	120	11	b	b	PROPN
ejpam-5613	120	12	(	(	PUNCT
ejpam-5613	120	13	α	α	NOUN
ejpam-5613	120	14	,	,	PUNCT
ejpam-5613	120	15	y	y	PROPN
ejpam-5613	120	16	,	,	PUNCT
ejpam-5613	120	17	u	u	NOUN
ejpam-5613	120	18	,	,	PUNCT
ejpam-5613	120	19	v	v	NOUN
ejpam-5613	120	20	):	):	PUNCT
ejpam-5613	120	21	b	b	PROPN
ejpam-5613	120	22	(	(	PUNCT
ejpam-5613	120	23	α	α	NOUN
ejpam-5613	120	24	,	,	PUNCT
ejpam-5613	120	25	y	y	PROPN
ejpam-5613	120	26	,	,	PUNCT
ejpam-5613	120	27	u	u	NOUN
ejpam-5613	120	28	,	,	PUNCT
ejpam-5613	120	29	v	v	NOUN
ejpam-5613	120	30	)	)	PUNCT
ejpam-5613	120	31	o.	o.	PROPN
ejpam-5613	120	32	b.	b.	PROPN
ejpam-5613	120	33	almutairi	almutairi	PROPN
ejpam-5613	120	34	,	,	PUNCT
ejpam-5613	120	35	m.	m.	NOUN
ejpam-5613	120	36	a.	a.	PROPN
ejpam-5613	120	37	latif	latif	PROPN
ejpam-5613	120	38	/	/	SYM
ejpam-5613	120	39	eur	eur	PROPN
ejpam-5613	120	40	.	.	PUNCT
ejpam-5613	121	1	j.	j.	PROPN
ejpam-5613	121	2	pure	pure	PROPN
ejpam-5613	121	3	appl	appl	PROPN
ejpam-5613	121	4	.	.	PROPN
ejpam-5613	121	5	math	math	PROPN
ejpam-5613	121	6	,	,	PUNCT
ejpam-5613	121	7	18	18	NUM
ejpam-5613	121	8	(	(	PUNCT
ejpam-5613	121	9	1	1	NUM
ejpam-5613	121	10	)	)	PUNCT
ejpam-5613	121	11	(	(	PUNCT
ejpam-5613	121	12	2025	2025	NUM
ejpam-5613	121	13	)	)	PUNCT
ejpam-5613	121	14	,	,	PUNCT
ejpam-5613	121	15	5608	5608	NUM
ejpam-5613	121	16	7	7	NUM
ejpam-5613	121	17	of	of	ADP
ejpam-5613	121	18	33	33	NUM
ejpam-5613	121	19	≤	≤	NUM
ejpam-5613	121	20			PROPN
ejpam-5613	121	21	∫	∫	PROPN
ejpam-5613	122	1	b	b	SYM
ejpam-5613	122	2	u	u	PROPN
ejpam-5613	122	3	∫	∫	PROPN
ejpam-5613	122	4	d	d	PROPN
ejpam-5613	122	5	v	v	PROPN
ejpam-5613	122	6	|α	|α	NOUN
ejpam-5613	122	7	(	(	PUNCT
ejpam-5613	122	8	s	s	PROPN
ejpam-5613	122	9	,	,	PUNCT
ejpam-5613	122	10	r)|	r)|	ADJ
ejpam-5613	122	11	drds	drd	NOUN
ejpam-5613	122	12	∫	∫	PROPN
ejpam-5613	122	13	b	b	SYM
ejpam-5613	122	14	u	u	PROPN
ejpam-5613	122	15	∫	∫	PROPN
ejpam-5613	123	1	d	d	PROPN
ejpam-5613	123	2	v	v	ADP
ejpam-5613	123	3	∥∥∥	∥∥∥	PROPN
ejpam-5613	123	4	∂2	∂2	NOUN
ejpam-5613	123	5	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	123	6	(	(	PUNCT
ejpam-5613	123	7	t	t	PROPN
ejpam-5613	123	8	,	,	PUNCT
ejpam-5613	123	9	w	w	NOUN
ejpam-5613	123	10	)	)	PUNCT
ejpam-5613	123	11	∥∥∥	∥∥∥	NOUN
ejpam-5613	123	12	e1×e2	e1×e2	VERB
ejpam-5613	123	13	dwdt	dwdt	NOUN
ejpam-5613	123	14	+	+	CCONJ
ejpam-5613	123	15	∫	∫	PROPN
ejpam-5613	123	16	u	u	NOUN
ejpam-5613	123	17	a	a	DET
ejpam-5613	123	18	∫	∫	PROPN
ejpam-5613	123	19	d	d	PROPN
ejpam-5613	123	20	v	v	PROPN
ejpam-5613	123	21	|α	|α	NOUN
ejpam-5613	123	22	(	(	PUNCT
ejpam-5613	123	23	s	s	PROPN
ejpam-5613	123	24	,	,	PUNCT
ejpam-5613	123	25	r)|	r)|	ADJ
ejpam-5613	123	26	drds	drd	NOUN
ejpam-5613	123	27	∫	∫	PROPN
ejpam-5613	123	28	u	u	PROPN
ejpam-5613	123	29	a	a	DET
ejpam-5613	123	30	∫	∫	PROPN
ejpam-5613	123	31	d	d	X
ejpam-5613	123	32	v	v	ADP
ejpam-5613	123	33	∥∥∥	∥∥∥	PROPN
ejpam-5613	123	34	∂2	∂2	NOUN
ejpam-5613	123	35	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	123	36	(	(	PUNCT
ejpam-5613	123	37	t	t	PROPN
ejpam-5613	123	38	,	,	PUNCT
ejpam-5613	123	39	w	w	NOUN
ejpam-5613	123	40	)	)	PUNCT
ejpam-5613	123	41	∥∥∥	∥∥∥	NOUN
ejpam-5613	123	42	e1×e2	e1×e2	VERB
ejpam-5613	123	43	dwdt	dwdt	NOUN
ejpam-5613	123	44	+	+	CCONJ
ejpam-5613	123	45	∫	∫	PROPN
ejpam-5613	123	46	b	b	X
ejpam-5613	123	47	u	u	PROPN
ejpam-5613	123	48	∫	∫	PROPN
ejpam-5613	123	49	v	v	PROPN
ejpam-5613	123	50	c	c	PROPN
ejpam-5613	123	51	|α	|α	PROPN
ejpam-5613	123	52	(	(	PUNCT
ejpam-5613	123	53	s	s	PROPN
ejpam-5613	123	54	,	,	PUNCT
ejpam-5613	123	55	r)|	r)|	ADJ
ejpam-5613	123	56	drds	drd	NOUN
ejpam-5613	123	57	∫	∫	PROPN
ejpam-5613	123	58	b	b	SYM
ejpam-5613	123	59	u	u	PROPN
ejpam-5613	123	60	∫	∫	PROPN
ejpam-5613	123	61	v	v	ADP
ejpam-5613	123	62	c	c	PROPN
ejpam-5613	123	63	∥∥∥	∥∥∥	PROPN
ejpam-5613	123	64	∂2	∂2	NOUN
ejpam-5613	123	65	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	123	66	(	(	PUNCT
ejpam-5613	123	67	t	t	PROPN
ejpam-5613	123	68	,	,	PUNCT
ejpam-5613	123	69	w	w	NOUN
ejpam-5613	123	70	)	)	PUNCT
ejpam-5613	123	71	∥∥∥	∥∥∥	NOUN
ejpam-5613	123	72	e1×e2	e1×e2	VERB
ejpam-5613	123	73	dwdt	dwdt	NOUN
ejpam-5613	123	74	+	+	CCONJ
ejpam-5613	123	75	∫	∫	PROPN
ejpam-5613	123	76	u	u	PROPN
ejpam-5613	123	77	a	a	DET
ejpam-5613	123	78	∫	∫	PROPN
ejpam-5613	123	79	v	v	PROPN
ejpam-5613	123	80	c	c	PROPN
ejpam-5613	123	81	|α	|α	PROPN
ejpam-5613	123	82	(	(	PUNCT
ejpam-5613	123	83	s	s	PROPN
ejpam-5613	123	84	,	,	PUNCT
ejpam-5613	123	85	r)|	r)|	ADJ
ejpam-5613	123	86	drds	drd	NOUN
ejpam-5613	123	87	∫	∫	PROPN
ejpam-5613	123	88	u	u	PROPN
ejpam-5613	123	89	a	a	DET
ejpam-5613	123	90	∫	∫	PROPN
ejpam-5613	123	91	v	v	ADP
ejpam-5613	123	92	c	c	PROPN
ejpam-5613	123	93	∥∥∥	∥∥∥	PROPN
ejpam-5613	123	94	∂2	∂2	NOUN
ejpam-5613	123	95	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	123	96	(	(	PUNCT
ejpam-5613	123	97	t	t	PROPN
ejpam-5613	123	98	,	,	PUNCT
ejpam-5613	123	99	w	w	NOUN
ejpam-5613	123	100	)	)	PUNCT
ejpam-5613	123	101	∥∥∥	∥∥∥	PROPN
ejpam-5613	123	102	e1×e2	e1×e2	VERB
ejpam-5613	123	103	dwdt	dwdt	NOUN
ejpam-5613	123	104	,	,	PUNCT
ejpam-5613	123	105	[	[	X
ejpam-5613	123	106	∫	∫	X
ejpam-5613	123	107	b	b	X
ejpam-5613	123	108	u	u	NOUN
ejpam-5613	123	109	∫	∫	PROPN
ejpam-5613	123	110	d	d	X
ejpam-5613	123	111	v	v	PROPN
ejpam-5613	123	112	(	(	PUNCT
ejpam-5613	123	113	∫	∫	PROPN
ejpam-5613	123	114	t	t	PROPN
ejpam-5613	123	115	u	u	X
ejpam-5613	123	116	∫	∫	PROPN
ejpam-5613	123	117	w	w	PROPN
ejpam-5613	123	118	c	c	PROPN
ejpam-5613	123	119	|α	|α	PROPN
ejpam-5613	123	120	(	(	PUNCT
ejpam-5613	123	121	s	s	PROPN
ejpam-5613	123	122	,	,	PUNCT
ejpam-5613	123	123	r)|	r)|	ADJ
ejpam-5613	123	124	drds	drd	NOUN
ejpam-5613	123	125	)	)	PUNCT
ejpam-5613	123	126	p	p	NOUN
ejpam-5613	123	127	dwdt	dwdt	NOUN
ejpam-5613	123	128	]	]	PUNCT
ejpam-5613	123	129	1	1	NUM
ejpam-5613	123	130	p	p	NOUN
ejpam-5613	124	1	[	[	X
ejpam-5613	124	2	∫	∫	X
ejpam-5613	124	3	b	b	X
ejpam-5613	124	4	u	u	PROPN
ejpam-5613	124	5	∫	∫	PROPN
ejpam-5613	124	6	d	d	PROPN
ejpam-5613	124	7	v	v	ADP
ejpam-5613	124	8	∥∥∥	∥∥∥	PROPN
ejpam-5613	124	9	∂2	∂2	NOUN
ejpam-5613	124	10	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	124	11	(	(	PUNCT
ejpam-5613	124	12	t	t	PROPN
ejpam-5613	124	13	,	,	PUNCT
ejpam-5613	124	14	w	w	NOUN
ejpam-5613	124	15	)	)	PUNCT
ejpam-5613	124	16	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	124	17	e1×e2	e1×e2	PROPN
ejpam-5613	124	18	dwdt	dwdt	NOUN
ejpam-5613	124	19	]	]	PUNCT
ejpam-5613	124	20	1	1	NUM
ejpam-5613	124	21	q	q	NOUN
ejpam-5613	125	1	+	+	CCONJ
ejpam-5613	125	2	[	[	X
ejpam-5613	125	3	∫	∫	X
ejpam-5613	125	4	u	u	NOUN
ejpam-5613	125	5	a	a	DET
ejpam-5613	125	6	∫	∫	PROPN
ejpam-5613	125	7	d	d	X
ejpam-5613	125	8	v	v	PROPN
ejpam-5613	125	9	(	(	PUNCT
ejpam-5613	125	10	∫	∫	PROPN
ejpam-5613	125	11	u	u	NOUN
ejpam-5613	125	12	t	t	PROPN
ejpam-5613	125	13	∫	∫	PROPN
ejpam-5613	125	14	w	w	PROPN
ejpam-5613	125	15	v	v	PROPN
ejpam-5613	125	16	|α	|α	NOUN
ejpam-5613	125	17	(	(	PUNCT
ejpam-5613	125	18	s	s	PROPN
ejpam-5613	125	19	,	,	PUNCT
ejpam-5613	125	20	r)|	r)|	ADJ
ejpam-5613	125	21	drds	drd	NOUN
ejpam-5613	125	22	)	)	PUNCT
ejpam-5613	125	23	p	p	NOUN
ejpam-5613	125	24	dwdt	dwdt	NOUN
ejpam-5613	125	25	]	]	PUNCT
ejpam-5613	125	26	1	1	NUM
ejpam-5613	125	27	p	p	NOUN
ejpam-5613	126	1	[	[	X
ejpam-5613	126	2	∫	∫	X
ejpam-5613	126	3	u	u	NOUN
ejpam-5613	126	4	a	a	DET
ejpam-5613	126	5	∫	∫	PROPN
ejpam-5613	127	1	d	d	X
ejpam-5613	127	2	v	v	ADP
ejpam-5613	127	3	∥∥∥	∥∥∥	PROPN
ejpam-5613	127	4	∂2	∂2	NOUN
ejpam-5613	127	5	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	127	6	(	(	PUNCT
ejpam-5613	127	7	t	t	PROPN
ejpam-5613	127	8	,	,	PUNCT
ejpam-5613	127	9	w	w	NOUN
ejpam-5613	127	10	)	)	PUNCT
ejpam-5613	127	11	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	127	12	e1×e2	e1×e2	PROPN
ejpam-5613	127	13	dwdt	dwdt	NOUN
ejpam-5613	127	14	]	]	PUNCT
ejpam-5613	127	15	1	1	NUM
ejpam-5613	127	16	q	q	NOUN
ejpam-5613	127	17	+	+	CCONJ
ejpam-5613	128	1	[	[	X
ejpam-5613	128	2	∫	∫	X
ejpam-5613	128	3	b	b	X
ejpam-5613	128	4	u	u	NOUN
ejpam-5613	128	5	∫	∫	PROPN
ejpam-5613	128	6	v	v	PROPN
ejpam-5613	128	7	c	c	PROPN
ejpam-5613	128	8	(	(	PUNCT
ejpam-5613	128	9	∫	∫	PROPN
ejpam-5613	128	10	t	t	PROPN
ejpam-5613	128	11	u	u	X
ejpam-5613	128	12	∫	∫	PROPN
ejpam-5613	128	13	v	v	PROPN
ejpam-5613	128	14	w	w	PROPN
ejpam-5613	128	15	|α	|α	PROPN
ejpam-5613	128	16	(	(	PUNCT
ejpam-5613	128	17	s	s	PROPN
ejpam-5613	128	18	,	,	PUNCT
ejpam-5613	128	19	r)|	r)|	ADJ
ejpam-5613	128	20	drds	drd	NOUN
ejpam-5613	128	21	)	)	PUNCT
ejpam-5613	128	22	p	p	NOUN
ejpam-5613	128	23	dwdt	dwdt	NOUN
ejpam-5613	128	24	]	]	PUNCT
ejpam-5613	128	25	1	1	NUM
ejpam-5613	128	26	p	p	NOUN
ejpam-5613	128	27	[	[	X
ejpam-5613	128	28	∫	∫	X
ejpam-5613	128	29	b	b	X
ejpam-5613	128	30	u	u	NOUN
ejpam-5613	128	31	∫	∫	PROPN
ejpam-5613	128	32	v	v	ADP
ejpam-5613	128	33	c	c	PROPN
ejpam-5613	128	34	∥∥∥	∥∥∥	PROPN
ejpam-5613	128	35	∂2	∂2	NOUN
ejpam-5613	128	36	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	128	37	(	(	PUNCT
ejpam-5613	128	38	t	t	PROPN
ejpam-5613	128	39	,	,	PUNCT
ejpam-5613	128	40	w	w	NOUN
ejpam-5613	128	41	)	)	PUNCT
ejpam-5613	128	42	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	128	43	e1×e2	e1×e2	PROPN
ejpam-5613	128	44	dwdt	dwdt	NOUN
ejpam-5613	128	45	]	]	PUNCT
ejpam-5613	128	46	1	1	NUM
ejpam-5613	128	47	q	q	NOUN
ejpam-5613	129	1	+	+	CCONJ
ejpam-5613	129	2	[	[	X
ejpam-5613	129	3	∫	∫	X
ejpam-5613	129	4	u	u	NOUN
ejpam-5613	129	5	a	a	DET
ejpam-5613	129	6	∫	∫	PROPN
ejpam-5613	129	7	v	v	ADP
ejpam-5613	129	8	c	c	PROPN
ejpam-5613	129	9	(	(	PUNCT
ejpam-5613	129	10	∫	∫	PROPN
ejpam-5613	129	11	u	u	X
ejpam-5613	129	12	t	t	PROPN
ejpam-5613	129	13	∫	∫	PROPN
ejpam-5613	129	14	v	v	PROPN
ejpam-5613	129	15	w	w	PROPN
ejpam-5613	129	16	|α	|α	PROPN
ejpam-5613	129	17	(	(	PUNCT
ejpam-5613	129	18	s	s	PROPN
ejpam-5613	129	19	,	,	PUNCT
ejpam-5613	129	20	r)|	r)|	ADJ
ejpam-5613	129	21	drds	drd	NOUN
ejpam-5613	129	22	)	)	PUNCT
ejpam-5613	129	23	p	p	NOUN
ejpam-5613	129	24	dwdt	dwdt	NOUN
ejpam-5613	129	25	]	]	PUNCT
ejpam-5613	129	26	1	1	NUM
ejpam-5613	129	27	p	p	NOUN
ejpam-5613	130	1	[	[	X
ejpam-5613	130	2	∫	∫	X
ejpam-5613	130	3	u	u	NOUN
ejpam-5613	130	4	a	a	DET
ejpam-5613	130	5	∫	∫	PROPN
ejpam-5613	130	6	v	v	ADP
ejpam-5613	130	7	c	c	PROPN
ejpam-5613	130	8	∥∥∥	∥∥∥	PROPN
ejpam-5613	130	9	∂2	∂2	NOUN
ejpam-5613	130	10	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	130	11	(	(	PUNCT
ejpam-5613	130	12	t	t	PROPN
ejpam-5613	130	13	,	,	PUNCT
ejpam-5613	130	14	w	w	NOUN
ejpam-5613	130	15	)	)	PUNCT
ejpam-5613	130	16	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	130	17	e1×e2	e1×e2	PROPN
ejpam-5613	130	18	dwdt	dwdt	NOUN
ejpam-5613	130	19	]	]	PUNCT
ejpam-5613	130	20	1	1	NUM
ejpam-5613	130	21	q	q	NOUN
ejpam-5613	130	22	,	,	PUNCT
ejpam-5613	130	23	∫	∫	PROPN
ejpam-5613	130	24	b	b	PROPN
ejpam-5613	130	25	u	u	PROPN
ejpam-5613	130	26	∫	∫	PROPN
ejpam-5613	130	27	d	d	X
ejpam-5613	130	28	v	v	PROPN
ejpam-5613	130	29	(	(	PUNCT
ejpam-5613	130	30	∫	∫	PROPN
ejpam-5613	130	31	t	t	PROPN
ejpam-5613	130	32	u	u	PROPN
ejpam-5613	130	33	∫	∫	PROPN
ejpam-5613	130	34	w	w	PROPN
ejpam-5613	130	35	v	v	PROPN
ejpam-5613	130	36	|α	|α	NOUN
ejpam-5613	130	37	(	(	PUNCT
ejpam-5613	130	38	s	s	PROPN
ejpam-5613	130	39	,	,	PUNCT
ejpam-5613	130	40	r)|	r)|	ADJ
ejpam-5613	130	41	drds	drd	NOUN
ejpam-5613	130	42	)	)	PUNCT
ejpam-5613	130	43	dwdt	dwdt	PROPN
ejpam-5613	130	44	sup	sup	PROPN
ejpam-5613	130	45	(	(	PUNCT
ejpam-5613	130	46	t	t	PROPN
ejpam-5613	130	47	,	,	PUNCT
ejpam-5613	130	48	w)∈[u	w)∈[u	NOUN
ejpam-5613	130	49	,	,	PUNCT
ejpam-5613	130	50	b]×[v	b]×[v	PROPN
ejpam-5613	130	51	,	,	PUNCT
ejpam-5613	130	52	d	d	X
ejpam-5613	130	53	]	]	PUNCT
ejpam-5613	130	54	∥∥∥	∥∥∥	PROPN
ejpam-5613	130	55	∂2	∂2	NOUN
ejpam-5613	130	56	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	130	57	(	(	PUNCT
ejpam-5613	130	58	t	t	PROPN
ejpam-5613	130	59	,	,	PUNCT
ejpam-5613	130	60	w	w	NOUN
ejpam-5613	130	61	)	)	PUNCT
ejpam-5613	130	62	∥∥∥	∥∥∥	NOUN
ejpam-5613	130	63	e1×e2	e1×e2	VERB
ejpam-5613	130	64	+	+	NUM
ejpam-5613	130	65	∫	∫	PROPN
ejpam-5613	130	66	u	u	NOUN
ejpam-5613	130	67	a	a	DET
ejpam-5613	130	68	∫	∫	PROPN
ejpam-5613	130	69	d	d	X
ejpam-5613	130	70	v	v	PROPN
ejpam-5613	130	71	(	(	PUNCT
ejpam-5613	130	72	∫	∫	PROPN
ejpam-5613	130	73	u	u	NOUN
ejpam-5613	130	74	t	t	PROPN
ejpam-5613	130	75	∫	∫	PROPN
ejpam-5613	130	76	w	w	PROPN
ejpam-5613	130	77	v	v	PROPN
ejpam-5613	130	78	|α	|α	NOUN
ejpam-5613	130	79	(	(	PUNCT
ejpam-5613	130	80	s	s	PROPN
ejpam-5613	130	81	,	,	PUNCT
ejpam-5613	130	82	r)|	r)|	ADJ
ejpam-5613	130	83	drds	drd	NOUN
ejpam-5613	130	84	)	)	PUNCT
ejpam-5613	130	85	dwdt	dwdt	PROPN
ejpam-5613	130	86	sup	sup	PROPN
ejpam-5613	130	87	(	(	PUNCT
ejpam-5613	130	88	t	t	PROPN
ejpam-5613	130	89	,	,	PUNCT
ejpam-5613	130	90	w)∈[a	w)∈[a	NOUN
ejpam-5613	130	91	,	,	PUNCT
ejpam-5613	130	92	u]×[v	u]×[v	PROPN
ejpam-5613	130	93	,	,	PUNCT
ejpam-5613	130	94	d	d	X
ejpam-5613	130	95	]	]	PUNCT
ejpam-5613	130	96	∥∥∥	∥∥∥	PROPN
ejpam-5613	130	97	∂2	∂2	NOUN
ejpam-5613	130	98	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	130	99	(	(	PUNCT
ejpam-5613	130	100	t	t	PROPN
ejpam-5613	130	101	,	,	PUNCT
ejpam-5613	130	102	w	w	NOUN
ejpam-5613	130	103	)	)	PUNCT
ejpam-5613	130	104	∥∥∥	∥∥∥	NOUN
ejpam-5613	130	105	e1×e2	e1×e2	VERB
ejpam-5613	130	106	+	+	CCONJ
ejpam-5613	130	107	∫	∫	PROPN
ejpam-5613	130	108	b	b	X
ejpam-5613	130	109	u	u	PROPN
ejpam-5613	130	110	∫	∫	PROPN
ejpam-5613	130	111	v	v	PROPN
ejpam-5613	130	112	c	c	PROPN
ejpam-5613	130	113	(	(	PUNCT
ejpam-5613	130	114	∫	∫	PROPN
ejpam-5613	130	115	t	t	PROPN
ejpam-5613	130	116	u	u	X
ejpam-5613	130	117	∫	∫	PROPN
ejpam-5613	130	118	v	v	PROPN
ejpam-5613	130	119	w	w	PROPN
ejpam-5613	130	120	|α	|α	PROPN
ejpam-5613	130	121	(	(	PUNCT
ejpam-5613	130	122	s	s	PROPN
ejpam-5613	130	123	,	,	PUNCT
ejpam-5613	130	124	r)|	r)|	ADJ
ejpam-5613	130	125	drds	drd	NOUN
ejpam-5613	130	126	)	)	PUNCT
ejpam-5613	130	127	dwdt	dwdt	PROPN
ejpam-5613	130	128	sup	sup	PROPN
ejpam-5613	130	129	(	(	PUNCT
ejpam-5613	130	130	t	t	PROPN
ejpam-5613	130	131	,	,	PUNCT
ejpam-5613	130	132	w)∈[u	w)∈[u	PROPN
ejpam-5613	130	133	,	,	PUNCT
ejpam-5613	130	134	b]×[c	b]×[c	PROPN
ejpam-5613	130	135	,	,	PUNCT
ejpam-5613	130	136	v	v	NOUN
ejpam-5613	130	137	]	]	PUNCT
ejpam-5613	130	138	∥∥∥	∥∥∥	PROPN
ejpam-5613	130	139	∂2	∂2	NOUN
ejpam-5613	130	140	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	130	141	(	(	PUNCT
ejpam-5613	130	142	t	t	PROPN
ejpam-5613	130	143	,	,	PUNCT
ejpam-5613	130	144	w	w	NOUN
ejpam-5613	130	145	)	)	PUNCT
ejpam-5613	130	146	∥∥∥	∥∥∥	NOUN
ejpam-5613	130	147	e1×e2	e1×e2	VERB
ejpam-5613	130	148	+	+	NUM
ejpam-5613	130	149	∫	∫	PROPN
ejpam-5613	130	150	u	u	NOUN
ejpam-5613	130	151	a	a	DET
ejpam-5613	130	152	∫	∫	PROPN
ejpam-5613	130	153	v	v	ADP
ejpam-5613	130	154	c	c	PROPN
ejpam-5613	130	155	(	(	PUNCT
ejpam-5613	130	156	∫	∫	PROPN
ejpam-5613	130	157	u	u	X
ejpam-5613	130	158	t	t	PROPN
ejpam-5613	130	159	∫	∫	PROPN
ejpam-5613	130	160	v	v	PROPN
ejpam-5613	130	161	w	w	PROPN
ejpam-5613	130	162	|α	|α	PROPN
ejpam-5613	130	163	(	(	PUNCT
ejpam-5613	130	164	s	s	PROPN
ejpam-5613	130	165	,	,	PUNCT
ejpam-5613	130	166	r)|	r)|	ADJ
ejpam-5613	130	167	drds	drd	NOUN
ejpam-5613	130	168	)	)	PUNCT
ejpam-5613	130	169	dwdt	dwdt	PROPN
ejpam-5613	130	170	sup	sup	PROPN
ejpam-5613	130	171	(	(	PUNCT
ejpam-5613	130	172	t	t	PROPN
ejpam-5613	130	173	,	,	PUNCT
ejpam-5613	130	174	w)∈[a	w)∈[a	NOUN
ejpam-5613	130	175	,	,	PUNCT
ejpam-5613	130	176	u]×[c	u]×[c	PROPN
ejpam-5613	130	177	,	,	PUNCT
ejpam-5613	130	178	v	v	NOUN
ejpam-5613	130	179	]	]	PUNCT
ejpam-5613	130	180	∥∥∥	∥∥∥	PROPN
ejpam-5613	130	181	∂2	∂2	NOUN
ejpam-5613	130	182	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	130	183	(	(	PUNCT
ejpam-5613	130	184	t	t	PROPN
ejpam-5613	130	185	,	,	PUNCT
ejpam-5613	130	186	w	w	NOUN
ejpam-5613	130	187	)	)	PUNCT
ejpam-5613	130	188	∥∥∥	∥∥∥	NOUN
ejpam-5613	130	189	e1×e2	e1×e2	VERB
ejpam-5613	130	190	.	.	PUNCT
ejpam-5613	131	1	(	(	PUNCT
ejpam-5613	131	2	2.3	2.3	NUM
ejpam-5613	131	3	)	)	PUNCT
ejpam-5613	131	4	proof	proof	NOUN
ejpam-5613	131	5	.	.	PUNCT
ejpam-5613	132	1	let	let	VERB
ejpam-5613	132	2	(	(	PUNCT
ejpam-5613	132	3	u	u	NOUN
ejpam-5613	132	4	,	,	PUNCT
ejpam-5613	132	5	v	v	NOUN
ejpam-5613	132	6	)	)	PUNCT
ejpam-5613	132	7	∈	∈	NOUN
ejpam-5613	133	1	[	[	X
ejpam-5613	133	2	a	a	X
ejpam-5613	133	3	,	,	PUNCT
ejpam-5613	133	4	b	b	NOUN
ejpam-5613	133	5	]	]	X
ejpam-5613	133	6	×	×	NOUN
ejpam-5613	133	7	[	[	X
ejpam-5613	133	8	c	c	X
ejpam-5613	133	9	,	,	PUNCT
ejpam-5613	133	10	d	d	X
ejpam-5613	133	11	]	]	X
ejpam-5613	133	12	.	.	PUNCT
ejpam-5613	134	1	using	use	VERB
ejpam-5613	134	2	the	the	DET
ejpam-5613	134	3	integration	integration	NOUN
ejpam-5613	134	4	by	by	ADP
ejpam-5613	134	5	parts	part	NOUN
ejpam-5613	134	6	formula	formula	NOUN
ejpam-5613	134	7	for	for	ADP
ejpam-5613	134	8	bochner	bochner	NOUN
ejpam-5613	134	9	integral	integral	ADJ
ejpam-5613	134	10	first	first	ADV
ejpam-5613	134	11	with	with	ADP
ejpam-5613	134	12	respect	respect	NOUN
ejpam-5613	134	13	to	to	ADP
ejpam-5613	134	14	w	w	NOUN
ejpam-5613	134	15	and	and	CCONJ
ejpam-5613	134	16	then	then	ADV
ejpam-5613	134	17	with	with	ADP
ejpam-5613	134	18	respect	respect	NOUN
ejpam-5613	134	19	to	to	ADP
ejpam-5613	134	20	t	t	PROPN
ejpam-5613	134	21	,	,	PUNCT
ejpam-5613	134	22	we	we	PRON
ejpam-5613	134	23	have∫	have∫	VERB
ejpam-5613	134	24	b	b	ADP
ejpam-5613	134	25	a	a	DET
ejpam-5613	134	26	∫	∫	PROPN
ejpam-5613	134	27	d	d	X
ejpam-5613	134	28	c	c	PROPN
ejpam-5613	135	1	[	[	X
ejpam-5613	135	2	∫	∫	X
ejpam-5613	135	3	t	t	PROPN
ejpam-5613	135	4	a	a	DET
ejpam-5613	135	5	∫	∫	PROPN
ejpam-5613	135	6	w	w	PROPN
ejpam-5613	135	7	c	c	PROPN
ejpam-5613	135	8	α	α	PROPN
ejpam-5613	135	9	(	(	PUNCT
ejpam-5613	135	10	s	s	PROPN
ejpam-5613	135	11	,	,	PUNCT
ejpam-5613	135	12	r	r	NOUN
ejpam-5613	135	13	)	)	PUNCT
ejpam-5613	135	14	drds−	drds−	NOUN
ejpam-5613	135	15	∫	∫	PROPN
ejpam-5613	135	16	t	t	PROPN
ejpam-5613	135	17	a	a	DET
ejpam-5613	135	18	∫	∫	PROPN
ejpam-5613	135	19	v	v	NOUN
ejpam-5613	135	20	c	c	NOUN
ejpam-5613	135	21	α	α	PROPN
ejpam-5613	135	22	(	(	PUNCT
ejpam-5613	135	23	s	s	X
ejpam-5613	135	24	,	,	PUNCT
ejpam-5613	135	25	r	r	NOUN
ejpam-5613	135	26	)	)	PUNCT
ejpam-5613	135	27	drds	drd	NOUN
ejpam-5613	135	28	−	−	PROPN
ejpam-5613	135	29	∫	∫	PROPN
ejpam-5613	135	30	u	u	PROPN
ejpam-5613	135	31	a	a	DET
ejpam-5613	135	32	∫	∫	PROPN
ejpam-5613	135	33	w	w	PROPN
ejpam-5613	135	34	c	c	PROPN
ejpam-5613	135	35	α	α	PROPN
ejpam-5613	135	36	(	(	PUNCT
ejpam-5613	135	37	s	s	X
ejpam-5613	135	38	,	,	PUNCT
ejpam-5613	135	39	r	r	NOUN
ejpam-5613	135	40	)	)	PUNCT
ejpam-5613	135	41	drds+	drds+	PART
ejpam-5613	135	42	∫	∫	PROPN
ejpam-5613	135	43	u	u	PROPN
ejpam-5613	135	44	a	a	DET
ejpam-5613	135	45	∫	∫	PROPN
ejpam-5613	135	46	v	v	NOUN
ejpam-5613	135	47	c	c	NOUN
ejpam-5613	135	48	α	α	PROPN
ejpam-5613	135	49	(	(	PUNCT
ejpam-5613	135	50	s	s	X
ejpam-5613	135	51	,	,	PUNCT
ejpam-5613	135	52	r	r	NOUN
ejpam-5613	135	53	)	)	PUNCT
ejpam-5613	135	54	drds	drd	NOUN
ejpam-5613	135	55	]	]	PUNCT
ejpam-5613	136	1	∂2	∂2	PROPN
ejpam-5613	136	2	∂w∂t	∂w∂t	INTJ
ejpam-5613	136	3	y	y	PROPN
ejpam-5613	136	4	(	(	PUNCT
ejpam-5613	136	5	t	t	PROPN
ejpam-5613	136	6	,	,	PUNCT
ejpam-5613	136	7	w	w	NOUN
ejpam-5613	136	8	)	)	PUNCT
ejpam-5613	136	9	dwdt	dwdt	NOUN
ejpam-5613	136	10	=	=	SYM
ejpam-5613	136	11	(	(	PUNCT
ejpam-5613	136	12	∫	∫	PROPN
ejpam-5613	136	13	b	b	SYM
ejpam-5613	136	14	u	u	PROPN
ejpam-5613	136	15	∫	∫	PROPN
ejpam-5613	136	16	d	d	X
ejpam-5613	136	17	v	v	ADP
ejpam-5613	136	18	α	α	PROPN
ejpam-5613	136	19	(	(	PUNCT
ejpam-5613	136	20	s	s	X
ejpam-5613	136	21	,	,	PUNCT
ejpam-5613	136	22	r	r	NOUN
ejpam-5613	136	23	)	)	PUNCT
ejpam-5613	136	24	drds	drd	NOUN
ejpam-5613	136	25	)	)	PUNCT
ejpam-5613	136	26	y	y	PROPN
ejpam-5613	136	27	(	(	PUNCT
ejpam-5613	136	28	b	b	X
ejpam-5613	136	29	,	,	PUNCT
ejpam-5613	136	30	d)−	d)−	PROPN
ejpam-5613	136	31	(	(	PUNCT
ejpam-5613	136	32	∫	∫	PROPN
ejpam-5613	136	33	b	b	SYM
ejpam-5613	136	34	u	u	PROPN
ejpam-5613	136	35	∫	∫	PROPN
ejpam-5613	136	36	v	v	X
ejpam-5613	136	37	c	c	PROPN
ejpam-5613	136	38	α	α	PROPN
ejpam-5613	136	39	(	(	PUNCT
ejpam-5613	136	40	s	s	X
ejpam-5613	136	41	,	,	PUNCT
ejpam-5613	136	42	r	r	NOUN
ejpam-5613	136	43	)	)	PUNCT
ejpam-5613	136	44	drds	drd	NOUN
ejpam-5613	136	45	)	)	PUNCT
ejpam-5613	136	46	y	y	PROPN
ejpam-5613	136	47	(	(	PUNCT
ejpam-5613	136	48	b	b	NOUN
ejpam-5613	136	49	,	,	PUNCT
ejpam-5613	136	50	c	c	NOUN
ejpam-5613	136	51	)	)	PUNCT
ejpam-5613	136	52	−	−	PROPN
ejpam-5613	137	1	(	(	PUNCT
ejpam-5613	137	2	∫	∫	PROPN
ejpam-5613	137	3	u	u	PROPN
ejpam-5613	137	4	a	a	DET
ejpam-5613	137	5	∫	∫	PROPN
ejpam-5613	138	1	d	d	X
ejpam-5613	138	2	v	v	ADP
ejpam-5613	138	3	α	α	PROPN
ejpam-5613	138	4	(	(	PUNCT
ejpam-5613	138	5	s	s	X
ejpam-5613	138	6	,	,	PUNCT
ejpam-5613	138	7	r	r	NOUN
ejpam-5613	138	8	)	)	PUNCT
ejpam-5613	138	9	drds	drd	NOUN
ejpam-5613	138	10	)	)	PUNCT
ejpam-5613	138	11	y	y	PROPN
ejpam-5613	138	12	(	(	PUNCT
ejpam-5613	138	13	a	a	DET
ejpam-5613	138	14	,	,	PUNCT
ejpam-5613	138	15	d	d	NOUN
ejpam-5613	138	16	)	)	PUNCT
ejpam-5613	139	1	+	+	CCONJ
ejpam-5613	139	2	(	(	PUNCT
ejpam-5613	139	3	∫	∫	PROPN
ejpam-5613	139	4	u	u	PROPN
ejpam-5613	139	5	a	a	DET
ejpam-5613	139	6	∫	∫	PROPN
ejpam-5613	139	7	v	v	NOUN
ejpam-5613	139	8	c	c	NOUN
ejpam-5613	139	9	α	α	PROPN
ejpam-5613	139	10	(	(	PUNCT
ejpam-5613	139	11	s	s	X
ejpam-5613	139	12	,	,	PUNCT
ejpam-5613	139	13	r	r	NOUN
ejpam-5613	139	14	)	)	PUNCT
ejpam-5613	139	15	drds	drd	NOUN
ejpam-5613	139	16	)	)	PUNCT
ejpam-5613	139	17	y	y	PROPN
ejpam-5613	139	18	(	(	PUNCT
ejpam-5613	139	19	a	a	PRON
ejpam-5613	139	20	,	,	PUNCT
ejpam-5613	139	21	c	c	NOUN
ejpam-5613	139	22	)	)	PUNCT
ejpam-5613	140	1	−	−	NOUN
ejpam-5613	140	2	∫	∫	PROPN
ejpam-5613	141	1	b	b	PROPN
ejpam-5613	141	2	a	a	DET
ejpam-5613	141	3	y	y	PROPN
ejpam-5613	141	4	(	(	PUNCT
ejpam-5613	141	5	t	t	PROPN
ejpam-5613	141	6	,	,	PUNCT
ejpam-5613	141	7	d	d	NOUN
ejpam-5613	141	8	)	)	PUNCT
ejpam-5613	141	9	(	(	PUNCT
ejpam-5613	141	10	∫	∫	PROPN
ejpam-5613	141	11	d	d	X
ejpam-5613	141	12	v	v	ADP
ejpam-5613	141	13	α	α	PROPN
ejpam-5613	141	14	(	(	PUNCT
ejpam-5613	141	15	t	t	PROPN
ejpam-5613	141	16	,	,	PUNCT
ejpam-5613	141	17	r	r	NOUN
ejpam-5613	141	18	)	)	PUNCT
ejpam-5613	141	19	dr	dr	PROPN
ejpam-5613	141	20	)	)	PUNCT
ejpam-5613	141	21	dt−	dt−	PROPN
ejpam-5613	141	22	∫	∫	PROPN
ejpam-5613	142	1	b	b	PROPN
ejpam-5613	142	2	a	a	DET
ejpam-5613	142	3	y	y	PROPN
ejpam-5613	142	4	(	(	PUNCT
ejpam-5613	142	5	t	t	PROPN
ejpam-5613	142	6	,	,	PUNCT
ejpam-5613	142	7	c	c	NOUN
ejpam-5613	142	8	)	)	PUNCT
ejpam-5613	142	9	(	(	PUNCT
ejpam-5613	142	10	∫	∫	PROPN
ejpam-5613	142	11	v	v	X
ejpam-5613	142	12	c	c	PROPN
ejpam-5613	142	13	α	α	PROPN
ejpam-5613	142	14	(	(	PUNCT
ejpam-5613	142	15	t	t	PROPN
ejpam-5613	142	16	,	,	PUNCT
ejpam-5613	142	17	r	r	NOUN
ejpam-5613	142	18	)	)	PUNCT
ejpam-5613	142	19	dr	dr	PROPN
ejpam-5613	142	20	)	)	PUNCT
ejpam-5613	142	21	dt	dt	PROPN
ejpam-5613	143	1	−	−	PROPN
ejpam-5613	143	2	∫	∫	PROPN
ejpam-5613	144	1	d	d	X
ejpam-5613	144	2	c	c	PROPN
ejpam-5613	144	3	y	y	PROPN
ejpam-5613	144	4	(	(	PUNCT
ejpam-5613	144	5	b	b	PROPN
ejpam-5613	144	6	,	,	PUNCT
ejpam-5613	144	7	w	w	NOUN
ejpam-5613	144	8	)	)	PUNCT
ejpam-5613	144	9	(	(	PUNCT
ejpam-5613	144	10	∫	∫	PROPN
ejpam-5613	144	11	b	b	PROPN
ejpam-5613	144	12	u	u	PROPN
ejpam-5613	144	13	α	α	PROPN
ejpam-5613	144	14	(	(	PUNCT
ejpam-5613	144	15	s	s	PROPN
ejpam-5613	144	16	,	,	PUNCT
ejpam-5613	144	17	w	w	NOUN
ejpam-5613	144	18	)	)	PUNCT
ejpam-5613	144	19	ds	ds	ADJ
ejpam-5613	144	20	)	)	PUNCT
ejpam-5613	144	21	dw	dw	NOUN
ejpam-5613	145	1	−	−	PROPN
ejpam-5613	145	2	∫	∫	PROPN
ejpam-5613	146	1	d	d	X
ejpam-5613	146	2	c	c	PROPN
ejpam-5613	146	3	y	y	PROPN
ejpam-5613	146	4	(	(	PUNCT
ejpam-5613	146	5	a	a	DET
ejpam-5613	146	6	,	,	PUNCT
ejpam-5613	146	7	w	w	NOUN
ejpam-5613	146	8	)	)	PUNCT
ejpam-5613	146	9	(	(	PUNCT
ejpam-5613	146	10	∫	∫	PROPN
ejpam-5613	146	11	u	u	PROPN
ejpam-5613	146	12	a	a	PRON
ejpam-5613	146	13	α	α	X
ejpam-5613	146	14	(	(	PUNCT
ejpam-5613	146	15	s	s	PROPN
ejpam-5613	146	16	,	,	PUNCT
ejpam-5613	146	17	w	w	NOUN
ejpam-5613	146	18	)	)	PUNCT
ejpam-5613	146	19	ds	ds	ADJ
ejpam-5613	146	20	)	)	PUNCT
ejpam-5613	146	21	dw	dw	PROPN
ejpam-5613	146	22	o.	o.	PROPN
ejpam-5613	146	23	b.	b.	PROPN
ejpam-5613	146	24	almutairi	almutairi	PROPN
ejpam-5613	146	25	,	,	PUNCT
ejpam-5613	146	26	m.	m.	NOUN
ejpam-5613	146	27	a.	a.	PROPN
ejpam-5613	146	28	latif	latif	PROPN
ejpam-5613	146	29	/	/	SYM
ejpam-5613	146	30	eur	eur	PROPN
ejpam-5613	146	31	.	.	PUNCT
ejpam-5613	147	1	j.	j.	PROPN
ejpam-5613	147	2	pure	pure	PROPN
ejpam-5613	147	3	appl	appl	PROPN
ejpam-5613	147	4	.	.	PROPN
ejpam-5613	147	5	math	math	PROPN
ejpam-5613	147	6	,	,	PUNCT
ejpam-5613	147	7	18	18	NUM
ejpam-5613	147	8	(	(	PUNCT
ejpam-5613	147	9	1	1	NUM
ejpam-5613	147	10	)	)	PUNCT
ejpam-5613	147	11	(	(	PUNCT
ejpam-5613	147	12	2025	2025	NUM
ejpam-5613	147	13	)	)	PUNCT
ejpam-5613	147	14	,	,	PUNCT
ejpam-5613	147	15	5608	5608	NUM
ejpam-5613	147	16	8	8	NUM
ejpam-5613	147	17	of	of	ADP
ejpam-5613	147	18	33	33	NUM
ejpam-5613	147	19	+	+	NUM
ejpam-5613	147	20	∫	∫	PROPN
ejpam-5613	147	21	b	b	PROPN
ejpam-5613	147	22	a	a	DET
ejpam-5613	147	23	∫	∫	PROPN
ejpam-5613	147	24	d	d	X
ejpam-5613	147	25	c	c	PROPN
ejpam-5613	147	26	α	α	PROPN
ejpam-5613	147	27	(	(	PUNCT
ejpam-5613	147	28	t	t	PROPN
ejpam-5613	147	29	,	,	PUNCT
ejpam-5613	147	30	w)y	w)y	X
ejpam-5613	147	31	(	(	PUNCT
ejpam-5613	147	32	t	t	PROPN
ejpam-5613	147	33	,	,	PUNCT
ejpam-5613	147	34	w	w	NOUN
ejpam-5613	147	35	)	)	PUNCT
ejpam-5613	147	36	dwdt	dwdt	NOUN
ejpam-5613	147	37	.	.	PUNCT
ejpam-5613	148	1	(	(	PUNCT
ejpam-5613	148	2	2.4	2.4	NUM
ejpam-5613	148	3	)	)	PUNCT
ejpam-5613	148	4	on	on	ADP
ejpam-5613	148	5	the	the	DET
ejpam-5613	148	6	other	other	ADJ
ejpam-5613	148	7	hand	hand	NOUN
ejpam-5613	148	8	,	,	PUNCT
ejpam-5613	148	9	we	we	PRON
ejpam-5613	148	10	can	can	AUX
ejpam-5613	148	11	observe	observe	VERB
ejpam-5613	148	12	that	that	SCONJ
ejpam-5613	148	13	for	for	ADP
ejpam-5613	148	14	all	all	DET
ejpam-5613	148	15	(	(	PUNCT
ejpam-5613	148	16	u	u	NOUN
ejpam-5613	148	17	,	,	PUNCT
ejpam-5613	148	18	v	v	NOUN
ejpam-5613	148	19	)	)	PUNCT
ejpam-5613	148	20	∈	∈	NOUN
ejpam-5613	149	1	[	[	X
ejpam-5613	149	2	a	a	X
ejpam-5613	149	3	,	,	PUNCT
ejpam-5613	149	4	b]×	b]×	NOUN
ejpam-5613	149	5	[	[	X
ejpam-5613	149	6	c	c	X
ejpam-5613	149	7	,	,	PUNCT
ejpam-5613	149	8	d	d	X
ejpam-5613	149	9	]	]	X
ejpam-5613	149	10	,	,	PUNCT
ejpam-5613	149	11	we	we	PRON
ejpam-5613	149	12	have∫	have∫	VERB
ejpam-5613	149	13	b	b	ADP
ejpam-5613	149	14	a	a	DET
ejpam-5613	149	15	∫	∫	PROPN
ejpam-5613	149	16	d	d	X
ejpam-5613	149	17	c	c	PROPN
ejpam-5613	150	1	[	[	X
ejpam-5613	150	2	∫	∫	X
ejpam-5613	150	3	t	t	PROPN
ejpam-5613	150	4	a	a	DET
ejpam-5613	150	5	∫	∫	PROPN
ejpam-5613	150	6	w	w	PROPN
ejpam-5613	150	7	c	c	PROPN
ejpam-5613	150	8	α	α	PROPN
ejpam-5613	150	9	(	(	PUNCT
ejpam-5613	150	10	s	s	PROPN
ejpam-5613	150	11	,	,	PUNCT
ejpam-5613	150	12	r	r	NOUN
ejpam-5613	150	13	)	)	PUNCT
ejpam-5613	150	14	drds−	drds−	NOUN
ejpam-5613	150	15	∫	∫	PROPN
ejpam-5613	150	16	t	t	PROPN
ejpam-5613	150	17	a	a	DET
ejpam-5613	150	18	∫	∫	PROPN
ejpam-5613	150	19	v	v	NOUN
ejpam-5613	150	20	c	c	NOUN
ejpam-5613	150	21	α	α	PROPN
ejpam-5613	150	22	(	(	PUNCT
ejpam-5613	150	23	s	s	X
ejpam-5613	150	24	,	,	PUNCT
ejpam-5613	150	25	r	r	NOUN
ejpam-5613	150	26	)	)	PUNCT
ejpam-5613	150	27	drds	drd	NOUN
ejpam-5613	150	28	−	−	PROPN
ejpam-5613	150	29	∫	∫	PROPN
ejpam-5613	150	30	u	u	PROPN
ejpam-5613	150	31	a	a	DET
ejpam-5613	150	32	∫	∫	PROPN
ejpam-5613	150	33	w	w	PROPN
ejpam-5613	150	34	c	c	PROPN
ejpam-5613	150	35	α	α	PROPN
ejpam-5613	150	36	(	(	PUNCT
ejpam-5613	150	37	s	s	X
ejpam-5613	150	38	,	,	PUNCT
ejpam-5613	150	39	r	r	NOUN
ejpam-5613	150	40	)	)	PUNCT
ejpam-5613	150	41	drds+	drds+	PART
ejpam-5613	150	42	∫	∫	PROPN
ejpam-5613	150	43	u	u	PROPN
ejpam-5613	150	44	a	a	DET
ejpam-5613	150	45	∫	∫	PROPN
ejpam-5613	150	46	v	v	NOUN
ejpam-5613	150	47	c	c	NOUN
ejpam-5613	150	48	α	α	PROPN
ejpam-5613	150	49	(	(	PUNCT
ejpam-5613	150	50	s	s	X
ejpam-5613	150	51	,	,	PUNCT
ejpam-5613	150	52	r	r	NOUN
ejpam-5613	150	53	)	)	PUNCT
ejpam-5613	150	54	drds	drd	NOUN
ejpam-5613	150	55	]	]	PUNCT
ejpam-5613	150	56	∂2	∂2	PROPN
ejpam-5613	150	57	∂w∂t	∂w∂t	INTJ
ejpam-5613	150	58	y	y	PROPN
ejpam-5613	150	59	(	(	PUNCT
ejpam-5613	150	60	t	t	PROPN
ejpam-5613	150	61	,	,	PUNCT
ejpam-5613	150	62	w	w	NOUN
ejpam-5613	150	63	)	)	PUNCT
ejpam-5613	150	64	dwdt	dwdt	NOUN
ejpam-5613	150	65	=	=	SYM
ejpam-5613	150	66	∫	∫	PROPN
ejpam-5613	150	67	u	u	PROPN
ejpam-5613	150	68	a	a	DET
ejpam-5613	150	69	∫	∫	PROPN
ejpam-5613	150	70	d	d	X
ejpam-5613	150	71	c	c	PROPN
ejpam-5613	151	1	[	[	X
ejpam-5613	151	2	∫	∫	X
ejpam-5613	151	3	t	t	PROPN
ejpam-5613	151	4	a	a	DET
ejpam-5613	151	5	∫	∫	PROPN
ejpam-5613	151	6	w	w	PROPN
ejpam-5613	151	7	c	c	PROPN
ejpam-5613	151	8	α	α	PROPN
ejpam-5613	151	9	(	(	PUNCT
ejpam-5613	151	10	s	s	PROPN
ejpam-5613	151	11	,	,	PUNCT
ejpam-5613	151	12	r	r	NOUN
ejpam-5613	151	13	)	)	PUNCT
ejpam-5613	151	14	drds−	drds−	NOUN
ejpam-5613	151	15	∫	∫	PROPN
ejpam-5613	151	16	t	t	PROPN
ejpam-5613	151	17	a	a	DET
ejpam-5613	151	18	∫	∫	PROPN
ejpam-5613	151	19	v	v	NOUN
ejpam-5613	151	20	c	c	NOUN
ejpam-5613	151	21	α	α	PROPN
ejpam-5613	151	22	(	(	PUNCT
ejpam-5613	151	23	s	s	X
ejpam-5613	151	24	,	,	PUNCT
ejpam-5613	151	25	r	r	NOUN
ejpam-5613	151	26	)	)	PUNCT
ejpam-5613	151	27	drds	drd	NOUN
ejpam-5613	151	28	−	−	PROPN
ejpam-5613	151	29	∫	∫	PROPN
ejpam-5613	151	30	u	u	PROPN
ejpam-5613	151	31	a	a	DET
ejpam-5613	151	32	∫	∫	PROPN
ejpam-5613	151	33	w	w	PROPN
ejpam-5613	151	34	c	c	PROPN
ejpam-5613	151	35	α	α	PROPN
ejpam-5613	151	36	(	(	PUNCT
ejpam-5613	151	37	s	s	X
ejpam-5613	151	38	,	,	PUNCT
ejpam-5613	151	39	r	r	NOUN
ejpam-5613	151	40	)	)	PUNCT
ejpam-5613	151	41	drds+	drds+	PART
ejpam-5613	151	42	∫	∫	PROPN
ejpam-5613	151	43	u	u	PROPN
ejpam-5613	151	44	a	a	DET
ejpam-5613	151	45	∫	∫	PROPN
ejpam-5613	151	46	v	v	NOUN
ejpam-5613	151	47	c	c	NOUN
ejpam-5613	151	48	α	α	PROPN
ejpam-5613	151	49	(	(	PUNCT
ejpam-5613	151	50	s	s	X
ejpam-5613	151	51	,	,	PUNCT
ejpam-5613	151	52	r	r	NOUN
ejpam-5613	151	53	)	)	PUNCT
ejpam-5613	151	54	drds	drd	NOUN
ejpam-5613	151	55	]	]	PUNCT
ejpam-5613	151	56	∂2	∂2	PROPN
ejpam-5613	151	57	∂w∂t	∂w∂t	INTJ
ejpam-5613	151	58	y	y	PROPN
ejpam-5613	151	59	(	(	PUNCT
ejpam-5613	151	60	t	t	PROPN
ejpam-5613	151	61	,	,	PUNCT
ejpam-5613	151	62	w	w	NOUN
ejpam-5613	151	63	)	)	PUNCT
ejpam-5613	151	64	dwdt	dwdt	NOUN
ejpam-5613	151	65	+	+	CCONJ
ejpam-5613	151	66	∫	∫	PROPN
ejpam-5613	151	67	b	b	X
ejpam-5613	151	68	u	u	NOUN
ejpam-5613	151	69	∫	∫	PROPN
ejpam-5613	151	70	d	d	X
ejpam-5613	151	71	c	c	PROPN
ejpam-5613	152	1	[	[	X
ejpam-5613	152	2	∫	∫	X
ejpam-5613	152	3	t	t	PROPN
ejpam-5613	152	4	a	a	DET
ejpam-5613	152	5	∫	∫	PROPN
ejpam-5613	152	6	w	w	PROPN
ejpam-5613	152	7	c	c	PROPN
ejpam-5613	152	8	α	α	PROPN
ejpam-5613	152	9	(	(	PUNCT
ejpam-5613	152	10	s	s	PROPN
ejpam-5613	152	11	,	,	PUNCT
ejpam-5613	152	12	r	r	NOUN
ejpam-5613	152	13	)	)	PUNCT
ejpam-5613	152	14	drds−	drds−	NOUN
ejpam-5613	152	15	∫	∫	PROPN
ejpam-5613	152	16	t	t	PROPN
ejpam-5613	152	17	a	a	DET
ejpam-5613	152	18	∫	∫	PROPN
ejpam-5613	152	19	v	v	NOUN
ejpam-5613	152	20	c	c	NOUN
ejpam-5613	152	21	α	α	PROPN
ejpam-5613	152	22	(	(	PUNCT
ejpam-5613	152	23	s	s	X
ejpam-5613	152	24	,	,	PUNCT
ejpam-5613	152	25	r	r	NOUN
ejpam-5613	152	26	)	)	PUNCT
ejpam-5613	152	27	drds	drd	NOUN
ejpam-5613	152	28	−	−	PROPN
ejpam-5613	152	29	∫	∫	PROPN
ejpam-5613	152	30	u	u	PROPN
ejpam-5613	152	31	a	a	DET
ejpam-5613	152	32	∫	∫	PROPN
ejpam-5613	152	33	w	w	PROPN
ejpam-5613	152	34	c	c	PROPN
ejpam-5613	152	35	α	α	PROPN
ejpam-5613	152	36	(	(	PUNCT
ejpam-5613	152	37	s	s	X
ejpam-5613	152	38	,	,	PUNCT
ejpam-5613	152	39	r	r	NOUN
ejpam-5613	152	40	)	)	PUNCT
ejpam-5613	152	41	drds+	drds+	PART
ejpam-5613	152	42	∫	∫	PROPN
ejpam-5613	152	43	u	u	PROPN
ejpam-5613	152	44	a	a	DET
ejpam-5613	152	45	∫	∫	PROPN
ejpam-5613	152	46	v	v	NOUN
ejpam-5613	152	47	c	c	NOUN
ejpam-5613	152	48	α	α	PROPN
ejpam-5613	152	49	(	(	PUNCT
ejpam-5613	152	50	s	s	X
ejpam-5613	152	51	,	,	PUNCT
ejpam-5613	152	52	r	r	NOUN
ejpam-5613	152	53	)	)	PUNCT
ejpam-5613	152	54	drds	drd	NOUN
ejpam-5613	152	55	]	]	PUNCT
ejpam-5613	152	56	∂2	∂2	PROPN
ejpam-5613	152	57	∂w∂t	∂w∂t	INTJ
ejpam-5613	152	58	y	y	PROPN
ejpam-5613	152	59	(	(	PUNCT
ejpam-5613	152	60	t	t	PROPN
ejpam-5613	152	61	,	,	PUNCT
ejpam-5613	152	62	w	w	NOUN
ejpam-5613	152	63	)	)	PUNCT
ejpam-5613	152	64	dwdt	dwdt	NOUN
ejpam-5613	152	65	=	=	SYM
ejpam-5613	152	66	∫	∫	PROPN
ejpam-5613	152	67	u	u	PROPN
ejpam-5613	152	68	a	a	DET
ejpam-5613	152	69	∫	∫	PROPN
ejpam-5613	152	70	v	v	NUM
ejpam-5613	152	71	c	c	PROPN
ejpam-5613	153	1	[	[	X
ejpam-5613	153	2	∫	∫	X
ejpam-5613	153	3	t	t	PROPN
ejpam-5613	153	4	a	a	DET
ejpam-5613	153	5	∫	∫	PROPN
ejpam-5613	153	6	w	w	PROPN
ejpam-5613	153	7	c	c	PROPN
ejpam-5613	153	8	α	α	PROPN
ejpam-5613	153	9	(	(	PUNCT
ejpam-5613	153	10	s	s	PROPN
ejpam-5613	153	11	,	,	PUNCT
ejpam-5613	153	12	r	r	NOUN
ejpam-5613	153	13	)	)	PUNCT
ejpam-5613	153	14	drds−	drds−	NOUN
ejpam-5613	153	15	∫	∫	PROPN
ejpam-5613	153	16	t	t	PROPN
ejpam-5613	153	17	a	a	DET
ejpam-5613	153	18	∫	∫	PROPN
ejpam-5613	153	19	v	v	NOUN
ejpam-5613	153	20	c	c	NOUN
ejpam-5613	153	21	α	α	PROPN
ejpam-5613	153	22	(	(	PUNCT
ejpam-5613	153	23	s	s	X
ejpam-5613	153	24	,	,	PUNCT
ejpam-5613	153	25	r	r	NOUN
ejpam-5613	153	26	)	)	PUNCT
ejpam-5613	153	27	drds	drd	NOUN
ejpam-5613	153	28	−	−	PROPN
ejpam-5613	153	29	∫	∫	PROPN
ejpam-5613	153	30	u	u	PROPN
ejpam-5613	153	31	a	a	DET
ejpam-5613	153	32	∫	∫	PROPN
ejpam-5613	153	33	w	w	PROPN
ejpam-5613	153	34	c	c	PROPN
ejpam-5613	153	35	α	α	PROPN
ejpam-5613	153	36	(	(	PUNCT
ejpam-5613	153	37	s	s	X
ejpam-5613	153	38	,	,	PUNCT
ejpam-5613	153	39	r	r	NOUN
ejpam-5613	153	40	)	)	PUNCT
ejpam-5613	153	41	drds+	drds+	PART
ejpam-5613	153	42	∫	∫	PROPN
ejpam-5613	153	43	u	u	PROPN
ejpam-5613	153	44	a	a	DET
ejpam-5613	153	45	∫	∫	PROPN
ejpam-5613	153	46	v	v	NOUN
ejpam-5613	153	47	c	c	NOUN
ejpam-5613	153	48	α	α	PROPN
ejpam-5613	153	49	(	(	PUNCT
ejpam-5613	153	50	s	s	X
ejpam-5613	153	51	,	,	PUNCT
ejpam-5613	153	52	r	r	NOUN
ejpam-5613	153	53	)	)	PUNCT
ejpam-5613	153	54	drds	drd	NOUN
ejpam-5613	153	55	]	]	PUNCT
ejpam-5613	153	56	∂2	∂2	PROPN
ejpam-5613	153	57	∂w∂t	∂w∂t	INTJ
ejpam-5613	153	58	y	y	PROPN
ejpam-5613	153	59	(	(	PUNCT
ejpam-5613	153	60	t	t	PROPN
ejpam-5613	153	61	,	,	PUNCT
ejpam-5613	153	62	w	w	NOUN
ejpam-5613	153	63	)	)	PUNCT
ejpam-5613	153	64	dwdt	dwdt	NOUN
ejpam-5613	153	65	+	+	CCONJ
ejpam-5613	153	66	∫	∫	PROPN
ejpam-5613	153	67	u	u	PROPN
ejpam-5613	153	68	a	a	DET
ejpam-5613	153	69	∫	∫	PROPN
ejpam-5613	153	70	d	d	X
ejpam-5613	153	71	v	v	PROPN
ejpam-5613	154	1	[	[	X
ejpam-5613	154	2	∫	∫	PROPN
ejpam-5613	154	3	t	t	PROPN
ejpam-5613	154	4	a	a	DET
ejpam-5613	154	5	∫	∫	PROPN
ejpam-5613	154	6	w	w	PROPN
ejpam-5613	154	7	c	c	PROPN
ejpam-5613	154	8	α	α	PROPN
ejpam-5613	154	9	(	(	PUNCT
ejpam-5613	154	10	s	s	PROPN
ejpam-5613	154	11	,	,	PUNCT
ejpam-5613	154	12	r	r	NOUN
ejpam-5613	154	13	)	)	PUNCT
ejpam-5613	154	14	drds−	drds−	NOUN
ejpam-5613	154	15	∫	∫	PROPN
ejpam-5613	154	16	t	t	PROPN
ejpam-5613	154	17	a	a	DET
ejpam-5613	154	18	∫	∫	PROPN
ejpam-5613	154	19	v	v	NOUN
ejpam-5613	154	20	c	c	NOUN
ejpam-5613	154	21	α	α	PROPN
ejpam-5613	154	22	(	(	PUNCT
ejpam-5613	154	23	s	s	X
ejpam-5613	154	24	,	,	PUNCT
ejpam-5613	154	25	r	r	NOUN
ejpam-5613	154	26	)	)	PUNCT
ejpam-5613	154	27	drds	drd	NOUN
ejpam-5613	154	28	−	−	PROPN
ejpam-5613	154	29	∫	∫	PROPN
ejpam-5613	154	30	u	u	PROPN
ejpam-5613	154	31	a	a	DET
ejpam-5613	154	32	∫	∫	PROPN
ejpam-5613	154	33	w	w	PROPN
ejpam-5613	154	34	c	c	PROPN
ejpam-5613	154	35	α	α	PROPN
ejpam-5613	154	36	(	(	PUNCT
ejpam-5613	154	37	s	s	X
ejpam-5613	154	38	,	,	PUNCT
ejpam-5613	154	39	r	r	NOUN
ejpam-5613	154	40	)	)	PUNCT
ejpam-5613	154	41	drds+	drds+	PART
ejpam-5613	154	42	∫	∫	PROPN
ejpam-5613	154	43	u	u	PROPN
ejpam-5613	154	44	a	a	DET
ejpam-5613	154	45	∫	∫	PROPN
ejpam-5613	154	46	v	v	NOUN
ejpam-5613	154	47	c	c	NOUN
ejpam-5613	154	48	α	α	PROPN
ejpam-5613	154	49	(	(	PUNCT
ejpam-5613	154	50	s	s	X
ejpam-5613	154	51	,	,	PUNCT
ejpam-5613	154	52	r	r	NOUN
ejpam-5613	154	53	)	)	PUNCT
ejpam-5613	154	54	drds	drd	NOUN
ejpam-5613	154	55	]	]	PUNCT
ejpam-5613	154	56	∂2	∂2	PROPN
ejpam-5613	154	57	∂w∂t	∂w∂t	INTJ
ejpam-5613	154	58	y	y	PROPN
ejpam-5613	154	59	(	(	PUNCT
ejpam-5613	154	60	t	t	PROPN
ejpam-5613	154	61	,	,	PUNCT
ejpam-5613	154	62	w	w	NOUN
ejpam-5613	154	63	)	)	PUNCT
ejpam-5613	154	64	dwdt	dwdt	NOUN
ejpam-5613	154	65	+	+	CCONJ
ejpam-5613	154	66	∫	∫	PROPN
ejpam-5613	154	67	b	b	X
ejpam-5613	154	68	u	u	PROPN
ejpam-5613	154	69	∫	∫	PROPN
ejpam-5613	154	70	v	v	NOUN
ejpam-5613	154	71	c	c	PROPN
ejpam-5613	155	1	[	[	X
ejpam-5613	155	2	∫	∫	X
ejpam-5613	155	3	t	t	PROPN
ejpam-5613	155	4	a	a	DET
ejpam-5613	155	5	∫	∫	PROPN
ejpam-5613	155	6	w	w	PROPN
ejpam-5613	155	7	c	c	PROPN
ejpam-5613	155	8	α	α	PROPN
ejpam-5613	155	9	(	(	PUNCT
ejpam-5613	155	10	s	s	PROPN
ejpam-5613	155	11	,	,	PUNCT
ejpam-5613	155	12	r	r	NOUN
ejpam-5613	155	13	)	)	PUNCT
ejpam-5613	155	14	drds−	drds−	NOUN
ejpam-5613	155	15	∫	∫	PROPN
ejpam-5613	155	16	t	t	PROPN
ejpam-5613	155	17	a	a	DET
ejpam-5613	155	18	∫	∫	PROPN
ejpam-5613	155	19	v	v	NOUN
ejpam-5613	155	20	c	c	NOUN
ejpam-5613	155	21	α	α	PROPN
ejpam-5613	155	22	(	(	PUNCT
ejpam-5613	155	23	s	s	X
ejpam-5613	155	24	,	,	PUNCT
ejpam-5613	155	25	r	r	NOUN
ejpam-5613	155	26	)	)	PUNCT
ejpam-5613	155	27	drds	drd	NOUN
ejpam-5613	155	28	−	−	PROPN
ejpam-5613	155	29	∫	∫	PROPN
ejpam-5613	155	30	u	u	PROPN
ejpam-5613	155	31	a	a	DET
ejpam-5613	155	32	∫	∫	PROPN
ejpam-5613	155	33	w	w	PROPN
ejpam-5613	155	34	c	c	PROPN
ejpam-5613	155	35	α	α	PROPN
ejpam-5613	155	36	(	(	PUNCT
ejpam-5613	155	37	s	s	X
ejpam-5613	155	38	,	,	PUNCT
ejpam-5613	155	39	r	r	NOUN
ejpam-5613	155	40	)	)	PUNCT
ejpam-5613	155	41	drds+	drds+	PART
ejpam-5613	155	42	∫	∫	PROPN
ejpam-5613	155	43	u	u	PROPN
ejpam-5613	155	44	a	a	DET
ejpam-5613	155	45	∫	∫	PROPN
ejpam-5613	155	46	v	v	NOUN
ejpam-5613	155	47	c	c	NOUN
ejpam-5613	155	48	α	α	PROPN
ejpam-5613	155	49	(	(	PUNCT
ejpam-5613	155	50	s	s	X
ejpam-5613	155	51	,	,	PUNCT
ejpam-5613	155	52	r	r	NOUN
ejpam-5613	155	53	)	)	PUNCT
ejpam-5613	155	54	drds	drd	NOUN
ejpam-5613	155	55	]	]	PUNCT
ejpam-5613	155	56	∂2	∂2	PROPN
ejpam-5613	155	57	∂w∂t	∂w∂t	INTJ
ejpam-5613	155	58	y	y	PROPN
ejpam-5613	155	59	(	(	PUNCT
ejpam-5613	155	60	t	t	PROPN
ejpam-5613	155	61	,	,	PUNCT
ejpam-5613	155	62	w	w	NOUN
ejpam-5613	155	63	)	)	PUNCT
ejpam-5613	155	64	dwdt	dwdt	NOUN
ejpam-5613	155	65	+	+	CCONJ
ejpam-5613	155	66	∫	∫	PROPN
ejpam-5613	155	67	b	b	X
ejpam-5613	155	68	u	u	NOUN
ejpam-5613	155	69	∫	∫	PROPN
ejpam-5613	155	70	d	d	X
ejpam-5613	155	71	v	v	PROPN
ejpam-5613	156	1	[	[	X
ejpam-5613	156	2	∫	∫	PROPN
ejpam-5613	156	3	t	t	PROPN
ejpam-5613	156	4	a	a	DET
ejpam-5613	156	5	∫	∫	PROPN
ejpam-5613	156	6	w	w	PROPN
ejpam-5613	156	7	c	c	PROPN
ejpam-5613	156	8	α	α	PROPN
ejpam-5613	156	9	(	(	PUNCT
ejpam-5613	156	10	s	s	PROPN
ejpam-5613	156	11	,	,	PUNCT
ejpam-5613	156	12	r	r	NOUN
ejpam-5613	156	13	)	)	PUNCT
ejpam-5613	156	14	drds−	drds−	NOUN
ejpam-5613	156	15	∫	∫	PROPN
ejpam-5613	156	16	t	t	PROPN
ejpam-5613	156	17	a	a	DET
ejpam-5613	156	18	∫	∫	PROPN
ejpam-5613	156	19	v	v	NOUN
ejpam-5613	156	20	c	c	NOUN
ejpam-5613	156	21	α	α	PROPN
ejpam-5613	156	22	(	(	PUNCT
ejpam-5613	156	23	s	s	X
ejpam-5613	156	24	,	,	PUNCT
ejpam-5613	156	25	r	r	NOUN
ejpam-5613	156	26	)	)	PUNCT
ejpam-5613	156	27	drds	drd	NOUN
ejpam-5613	156	28	−	−	PROPN
ejpam-5613	156	29	∫	∫	PROPN
ejpam-5613	156	30	u	u	PROPN
ejpam-5613	156	31	a	a	DET
ejpam-5613	156	32	∫	∫	PROPN
ejpam-5613	156	33	w	w	PROPN
ejpam-5613	156	34	c	c	PROPN
ejpam-5613	156	35	α	α	PROPN
ejpam-5613	156	36	(	(	PUNCT
ejpam-5613	156	37	s	s	X
ejpam-5613	156	38	,	,	PUNCT
ejpam-5613	156	39	r	r	NOUN
ejpam-5613	156	40	)	)	PUNCT
ejpam-5613	156	41	drds+	drds+	PART
ejpam-5613	156	42	∫	∫	PROPN
ejpam-5613	156	43	u	u	PROPN
ejpam-5613	156	44	a	a	DET
ejpam-5613	156	45	∫	∫	PROPN
ejpam-5613	156	46	v	v	NOUN
ejpam-5613	156	47	c	c	NOUN
ejpam-5613	156	48	α	α	PROPN
ejpam-5613	156	49	(	(	PUNCT
ejpam-5613	156	50	s	s	X
ejpam-5613	156	51	,	,	PUNCT
ejpam-5613	156	52	r	r	NOUN
ejpam-5613	156	53	)	)	PUNCT
ejpam-5613	156	54	drds	drd	NOUN
ejpam-5613	156	55	]	]	PUNCT
ejpam-5613	157	1	∂2	∂2	PROPN
ejpam-5613	158	1	∂w∂t	∂w∂t	INTJ
ejpam-5613	158	2	y	y	PROPN
ejpam-5613	158	3	(	(	PUNCT
ejpam-5613	158	4	t	t	PROPN
ejpam-5613	158	5	,	,	PUNCT
ejpam-5613	158	6	w	w	NOUN
ejpam-5613	158	7	)	)	PUNCT
ejpam-5613	158	8	dwdt	dwdt	NOUN
ejpam-5613	158	9	=	=	SYM
ejpam-5613	158	10	∫	∫	PROPN
ejpam-5613	158	11	b	b	SYM
ejpam-5613	158	12	u	u	PROPN
ejpam-5613	158	13	∫	∫	PROPN
ejpam-5613	158	14	d	d	X
ejpam-5613	158	15	v	v	PROPN
ejpam-5613	158	16	(	(	PUNCT
ejpam-5613	158	17	∫	∫	PROPN
ejpam-5613	158	18	t	t	PROPN
ejpam-5613	158	19	u	u	X
ejpam-5613	158	20	∫	∫	PROPN
ejpam-5613	158	21	w	w	PROPN
ejpam-5613	158	22	v	v	PROPN
ejpam-5613	158	23	α	α	PROPN
ejpam-5613	158	24	(	(	PUNCT
ejpam-5613	158	25	s	s	X
ejpam-5613	158	26	,	,	PUNCT
ejpam-5613	158	27	r	r	NOUN
ejpam-5613	158	28	)	)	PUNCT
ejpam-5613	158	29	drds	drd	NOUN
ejpam-5613	158	30	)	)	PUNCT
ejpam-5613	158	31	∂2	∂2	PROPN
ejpam-5613	159	1	∂w∂t	∂w∂t	INTJ
ejpam-5613	159	2	y	y	PROPN
ejpam-5613	159	3	(	(	PUNCT
ejpam-5613	159	4	t	t	PROPN
ejpam-5613	159	5	,	,	PUNCT
ejpam-5613	159	6	w	w	NOUN
ejpam-5613	159	7	)	)	PUNCT
ejpam-5613	159	8	dwdt	dwdt	NOUN
ejpam-5613	159	9	−	−	PROPN
ejpam-5613	159	10	∫	∫	PROPN
ejpam-5613	159	11	u	u	PROPN
ejpam-5613	159	12	a	a	DET
ejpam-5613	159	13	∫	∫	PROPN
ejpam-5613	159	14	d	d	X
ejpam-5613	159	15	v	v	PROPN
ejpam-5613	159	16	(	(	PUNCT
ejpam-5613	159	17	∫	∫	PROPN
ejpam-5613	159	18	u	u	NOUN
ejpam-5613	159	19	t	t	PROPN
ejpam-5613	159	20	∫	∫	PROPN
ejpam-5613	160	1	w	w	PROPN
ejpam-5613	160	2	v	v	PROPN
ejpam-5613	160	3	α	α	PROPN
ejpam-5613	160	4	(	(	PUNCT
ejpam-5613	160	5	s	s	X
ejpam-5613	160	6	,	,	PUNCT
ejpam-5613	160	7	r	r	NOUN
ejpam-5613	160	8	)	)	PUNCT
ejpam-5613	160	9	drds	drd	NOUN
ejpam-5613	160	10	)	)	PUNCT
ejpam-5613	160	11	∂2	∂2	PROPN
ejpam-5613	161	1	∂w∂t	∂w∂t	INTJ
ejpam-5613	161	2	y	y	PROPN
ejpam-5613	161	3	(	(	PUNCT
ejpam-5613	161	4	t	t	PROPN
ejpam-5613	161	5	,	,	PUNCT
ejpam-5613	161	6	w	w	NOUN
ejpam-5613	161	7	)	)	PUNCT
ejpam-5613	161	8	dwdt	dwdt	NOUN
ejpam-5613	161	9	−	−	PROPN
ejpam-5613	161	10	∫	∫	PROPN
ejpam-5613	161	11	b	b	PROPN
ejpam-5613	161	12	u	u	PROPN
ejpam-5613	161	13	∫	∫	PROPN
ejpam-5613	161	14	v	v	PROPN
ejpam-5613	161	15	c	c	PROPN
ejpam-5613	161	16	(	(	PUNCT
ejpam-5613	161	17	∫	∫	PROPN
ejpam-5613	161	18	t	t	PROPN
ejpam-5613	161	19	u	u	X
ejpam-5613	161	20	∫	∫	PROPN
ejpam-5613	161	21	v	v	PROPN
ejpam-5613	161	22	w	w	PROPN
ejpam-5613	161	23	α	α	PROPN
ejpam-5613	161	24	(	(	PUNCT
ejpam-5613	161	25	s	s	PROPN
ejpam-5613	161	26	,	,	PUNCT
ejpam-5613	161	27	r	r	NOUN
ejpam-5613	161	28	)	)	PUNCT
ejpam-5613	161	29	drds	drd	NOUN
ejpam-5613	161	30	)	)	PUNCT
ejpam-5613	161	31	∂2	∂2	PROPN
ejpam-5613	162	1	∂w∂t	∂w∂t	INTJ
ejpam-5613	162	2	y	y	PROPN
ejpam-5613	162	3	(	(	PUNCT
ejpam-5613	162	4	t	t	PROPN
ejpam-5613	162	5	,	,	PUNCT
ejpam-5613	162	6	w	w	NOUN
ejpam-5613	162	7	)	)	PUNCT
ejpam-5613	162	8	dwdt	dwdt	PROPN
ejpam-5613	162	9	o.	o.	PROPN
ejpam-5613	162	10	b.	b.	PROPN
ejpam-5613	162	11	almutairi	almutairi	PROPN
ejpam-5613	162	12	,	,	PUNCT
ejpam-5613	162	13	m.	m.	NOUN
ejpam-5613	162	14	a.	a.	PROPN
ejpam-5613	162	15	latif	latif	PROPN
ejpam-5613	162	16	/	/	SYM
ejpam-5613	162	17	eur	eur	PROPN
ejpam-5613	162	18	.	.	PUNCT
ejpam-5613	163	1	j.	j.	PROPN
ejpam-5613	163	2	pure	pure	PROPN
ejpam-5613	163	3	appl	appl	PROPN
ejpam-5613	163	4	.	.	PROPN
ejpam-5613	163	5	math	math	PROPN
ejpam-5613	163	6	,	,	PUNCT
ejpam-5613	163	7	18	18	NUM
ejpam-5613	163	8	(	(	PUNCT
ejpam-5613	163	9	1	1	NUM
ejpam-5613	163	10	)	)	PUNCT
ejpam-5613	163	11	(	(	PUNCT
ejpam-5613	163	12	2025	2025	NUM
ejpam-5613	163	13	)	)	PUNCT
ejpam-5613	163	14	,	,	PUNCT
ejpam-5613	163	15	5608	5608	NUM
ejpam-5613	163	16	9	9	NUM
ejpam-5613	163	17	of	of	ADP
ejpam-5613	163	18	33	33	NUM
ejpam-5613	163	19	+	+	NUM
ejpam-5613	163	20	∫	∫	PROPN
ejpam-5613	163	21	u	u	PROPN
ejpam-5613	163	22	a	a	DET
ejpam-5613	163	23	∫	∫	PROPN
ejpam-5613	163	24	v	v	ADP
ejpam-5613	163	25	c	c	PROPN
ejpam-5613	163	26	(	(	PUNCT
ejpam-5613	163	27	∫	∫	PROPN
ejpam-5613	163	28	u	u	X
ejpam-5613	163	29	t	t	PROPN
ejpam-5613	163	30	∫	∫	PROPN
ejpam-5613	163	31	v	v	PROPN
ejpam-5613	163	32	w	w	PROPN
ejpam-5613	163	33	α	α	PROPN
ejpam-5613	163	34	(	(	PUNCT
ejpam-5613	163	35	s	s	PROPN
ejpam-5613	163	36	,	,	PUNCT
ejpam-5613	163	37	r	r	NOUN
ejpam-5613	163	38	)	)	PUNCT
ejpam-5613	163	39	drds	drd	NOUN
ejpam-5613	163	40	)	)	PUNCT
ejpam-5613	163	41	∂2	∂2	PROPN
ejpam-5613	164	1	∂w∂t	∂w∂t	INTJ
ejpam-5613	164	2	y	y	PROPN
ejpam-5613	164	3	(	(	PUNCT
ejpam-5613	164	4	t	t	PROPN
ejpam-5613	164	5	,	,	PUNCT
ejpam-5613	164	6	w	w	NOUN
ejpam-5613	164	7	)	)	PUNCT
ejpam-5613	164	8	dwdt	dwdt	NOUN
ejpam-5613	164	9	.	.	PUNCT
ejpam-5613	165	1	(	(	PUNCT
ejpam-5613	165	2	2.5	2.5	NUM
ejpam-5613	165	3	)	)	PUNCT
ejpam-5613	165	4	by	by	ADP
ejpam-5613	165	5	utilizing	utilize	VERB
ejpam-5613	165	6	(	(	PUNCT
ejpam-5613	165	7	2.4	2.4	NUM
ejpam-5613	165	8	)	)	PUNCT
ejpam-5613	165	9	and	and	CCONJ
ejpam-5613	165	10	(	(	PUNCT
ejpam-5613	165	11	2.5	2.5	NUM
ejpam-5613	165	12	)	)	PUNCT
ejpam-5613	165	13	,	,	PUNCT
ejpam-5613	165	14	we	we	PRON
ejpam-5613	165	15	otain	otain	VERB
ejpam-5613	165	16	the	the	DET
ejpam-5613	165	17	following	follow	VERB
ejpam-5613	166	1	equality:(∫	equality:(∫	PROPN
ejpam-5613	166	2	b	b	PROPN
ejpam-5613	166	3	u	u	NOUN
ejpam-5613	166	4	∫	∫	PROPN
ejpam-5613	166	5	d	d	X
ejpam-5613	166	6	v	v	ADP
ejpam-5613	166	7	α	α	PROPN
ejpam-5613	166	8	(	(	PUNCT
ejpam-5613	166	9	s	s	X
ejpam-5613	166	10	,	,	PUNCT
ejpam-5613	166	11	r	r	NOUN
ejpam-5613	166	12	)	)	PUNCT
ejpam-5613	166	13	drds	drd	NOUN
ejpam-5613	166	14	)	)	PUNCT
ejpam-5613	166	15	y	y	PROPN
ejpam-5613	166	16	(	(	PUNCT
ejpam-5613	166	17	b	b	X
ejpam-5613	166	18	,	,	PUNCT
ejpam-5613	166	19	d)−	d)−	PROPN
ejpam-5613	166	20	(	(	PUNCT
ejpam-5613	166	21	∫	∫	PROPN
ejpam-5613	166	22	b	b	SYM
ejpam-5613	166	23	u	u	PROPN
ejpam-5613	166	24	∫	∫	PROPN
ejpam-5613	166	25	v	v	X
ejpam-5613	166	26	c	c	PROPN
ejpam-5613	166	27	α	α	PROPN
ejpam-5613	166	28	(	(	PUNCT
ejpam-5613	166	29	s	s	X
ejpam-5613	166	30	,	,	PUNCT
ejpam-5613	166	31	r	r	NOUN
ejpam-5613	166	32	)	)	PUNCT
ejpam-5613	166	33	drds	drd	NOUN
ejpam-5613	166	34	)	)	PUNCT
ejpam-5613	166	35	y	y	PROPN
ejpam-5613	166	36	(	(	PUNCT
ejpam-5613	166	37	b	b	NOUN
ejpam-5613	166	38	,	,	PUNCT
ejpam-5613	166	39	c	c	NOUN
ejpam-5613	166	40	)	)	PUNCT
ejpam-5613	166	41	−	−	PROPN
ejpam-5613	167	1	(	(	PUNCT
ejpam-5613	167	2	∫	∫	PROPN
ejpam-5613	167	3	u	u	PROPN
ejpam-5613	167	4	a	a	DET
ejpam-5613	167	5	∫	∫	PROPN
ejpam-5613	168	1	d	d	X
ejpam-5613	168	2	v	v	ADP
ejpam-5613	168	3	α	α	PROPN
ejpam-5613	168	4	(	(	PUNCT
ejpam-5613	168	5	s	s	X
ejpam-5613	168	6	,	,	PUNCT
ejpam-5613	168	7	r	r	NOUN
ejpam-5613	168	8	)	)	PUNCT
ejpam-5613	168	9	drds	drd	NOUN
ejpam-5613	168	10	)	)	PUNCT
ejpam-5613	168	11	y	y	PROPN
ejpam-5613	168	12	(	(	PUNCT
ejpam-5613	168	13	a	a	DET
ejpam-5613	168	14	,	,	PUNCT
ejpam-5613	168	15	d	d	NOUN
ejpam-5613	168	16	)	)	PUNCT
ejpam-5613	169	1	+	+	CCONJ
ejpam-5613	169	2	(	(	PUNCT
ejpam-5613	169	3	∫	∫	PROPN
ejpam-5613	169	4	u	u	PROPN
ejpam-5613	169	5	a	a	DET
ejpam-5613	169	6	∫	∫	PROPN
ejpam-5613	169	7	v	v	NOUN
ejpam-5613	169	8	c	c	NOUN
ejpam-5613	169	9	α	α	PROPN
ejpam-5613	169	10	(	(	PUNCT
ejpam-5613	169	11	s	s	X
ejpam-5613	169	12	,	,	PUNCT
ejpam-5613	169	13	r	r	NOUN
ejpam-5613	169	14	)	)	PUNCT
ejpam-5613	169	15	drds	drd	NOUN
ejpam-5613	169	16	)	)	PUNCT
ejpam-5613	169	17	y	y	PROPN
ejpam-5613	169	18	(	(	PUNCT
ejpam-5613	169	19	a	a	PRON
ejpam-5613	169	20	,	,	PUNCT
ejpam-5613	169	21	c	c	NOUN
ejpam-5613	169	22	)	)	PUNCT
ejpam-5613	170	1	−	−	NOUN
ejpam-5613	170	2	∫	∫	PROPN
ejpam-5613	171	1	b	b	PROPN
ejpam-5613	171	2	a	a	DET
ejpam-5613	171	3	y	y	PROPN
ejpam-5613	171	4	(	(	PUNCT
ejpam-5613	171	5	t	t	PROPN
ejpam-5613	171	6	,	,	PUNCT
ejpam-5613	171	7	d	d	NOUN
ejpam-5613	171	8	)	)	PUNCT
ejpam-5613	171	9	(	(	PUNCT
ejpam-5613	171	10	∫	∫	PROPN
ejpam-5613	171	11	d	d	X
ejpam-5613	171	12	v	v	ADP
ejpam-5613	171	13	α	α	PROPN
ejpam-5613	171	14	(	(	PUNCT
ejpam-5613	171	15	t	t	PROPN
ejpam-5613	171	16	,	,	PUNCT
ejpam-5613	171	17	r	r	NOUN
ejpam-5613	171	18	)	)	PUNCT
ejpam-5613	171	19	dr	dr	PROPN
ejpam-5613	171	20	)	)	PUNCT
ejpam-5613	171	21	dt−	dt−	PROPN
ejpam-5613	171	22	∫	∫	PROPN
ejpam-5613	172	1	b	b	PROPN
ejpam-5613	172	2	a	a	DET
ejpam-5613	172	3	y	y	PROPN
ejpam-5613	172	4	(	(	PUNCT
ejpam-5613	172	5	t	t	PROPN
ejpam-5613	172	6	,	,	PUNCT
ejpam-5613	172	7	c	c	NOUN
ejpam-5613	172	8	)	)	PUNCT
ejpam-5613	172	9	(	(	PUNCT
ejpam-5613	172	10	∫	∫	PROPN
ejpam-5613	172	11	v	v	X
ejpam-5613	172	12	c	c	PROPN
ejpam-5613	172	13	α	α	PROPN
ejpam-5613	172	14	(	(	PUNCT
ejpam-5613	172	15	t	t	PROPN
ejpam-5613	172	16	,	,	PUNCT
ejpam-5613	172	17	r	r	NOUN
ejpam-5613	172	18	)	)	PUNCT
ejpam-5613	172	19	dr	dr	PROPN
ejpam-5613	172	20	)	)	PUNCT
ejpam-5613	172	21	dt	dt	PROPN
ejpam-5613	173	1	−	−	PROPN
ejpam-5613	173	2	∫	∫	PROPN
ejpam-5613	174	1	d	d	X
ejpam-5613	174	2	c	c	PROPN
ejpam-5613	174	3	y	y	PROPN
ejpam-5613	174	4	(	(	PUNCT
ejpam-5613	174	5	b	b	PROPN
ejpam-5613	174	6	,	,	PUNCT
ejpam-5613	174	7	w	w	NOUN
ejpam-5613	174	8	)	)	PUNCT
ejpam-5613	174	9	(	(	PUNCT
ejpam-5613	174	10	∫	∫	PROPN
ejpam-5613	174	11	b	b	PROPN
ejpam-5613	174	12	u	u	PROPN
ejpam-5613	174	13	α	α	PROPN
ejpam-5613	174	14	(	(	PUNCT
ejpam-5613	174	15	s	s	PROPN
ejpam-5613	174	16	,	,	PUNCT
ejpam-5613	174	17	w	w	NOUN
ejpam-5613	174	18	)	)	PUNCT
ejpam-5613	174	19	ds	ds	ADJ
ejpam-5613	174	20	)	)	PUNCT
ejpam-5613	174	21	dw	dw	NOUN
ejpam-5613	175	1	−	−	PROPN
ejpam-5613	175	2	∫	∫	PROPN
ejpam-5613	176	1	d	d	X
ejpam-5613	176	2	c	c	PROPN
ejpam-5613	176	3	y	y	PROPN
ejpam-5613	176	4	(	(	PUNCT
ejpam-5613	176	5	a	a	DET
ejpam-5613	176	6	,	,	PUNCT
ejpam-5613	176	7	w	w	NOUN
ejpam-5613	176	8	)	)	PUNCT
ejpam-5613	176	9	(	(	PUNCT
ejpam-5613	176	10	∫	∫	PROPN
ejpam-5613	176	11	u	u	PROPN
ejpam-5613	176	12	a	a	DET
ejpam-5613	176	13	α	α	X
ejpam-5613	176	14	(	(	PUNCT
ejpam-5613	176	15	s	s	PROPN
ejpam-5613	176	16	,	,	PUNCT
ejpam-5613	176	17	w	w	NOUN
ejpam-5613	176	18	)	)	PUNCT
ejpam-5613	176	19	ds	ds	ADJ
ejpam-5613	176	20	)	)	PUNCT
ejpam-5613	176	21	dw	dw	PROPN
ejpam-5613	177	1	+	+	CCONJ
ejpam-5613	177	2	∫	∫	PROPN
ejpam-5613	178	1	b	b	PROPN
ejpam-5613	178	2	a	a	DET
ejpam-5613	178	3	∫	∫	PROPN
ejpam-5613	178	4	d	d	X
ejpam-5613	178	5	c	c	PROPN
ejpam-5613	178	6	α	α	PROPN
ejpam-5613	178	7	(	(	PUNCT
ejpam-5613	178	8	t	t	PROPN
ejpam-5613	178	9	,	,	PUNCT
ejpam-5613	178	10	w)y	w)y	X
ejpam-5613	178	11	(	(	PUNCT
ejpam-5613	178	12	t	t	PROPN
ejpam-5613	178	13	,	,	PUNCT
ejpam-5613	178	14	w	w	NOUN
ejpam-5613	178	15	)	)	PUNCT
ejpam-5613	178	16	dwdt	dwdt	NOUN
ejpam-5613	178	17	=	=	SYM
ejpam-5613	178	18	∫	∫	PROPN
ejpam-5613	178	19	b	b	SYM
ejpam-5613	178	20	u	u	PROPN
ejpam-5613	178	21	∫	∫	PROPN
ejpam-5613	178	22	d	d	X
ejpam-5613	178	23	v	v	PROPN
ejpam-5613	178	24	(	(	PUNCT
ejpam-5613	178	25	∫	∫	PROPN
ejpam-5613	178	26	t	t	PROPN
ejpam-5613	178	27	u	u	X
ejpam-5613	178	28	∫	∫	PROPN
ejpam-5613	178	29	w	w	PROPN
ejpam-5613	178	30	v	v	PROPN
ejpam-5613	178	31	α	α	PROPN
ejpam-5613	178	32	(	(	PUNCT
ejpam-5613	178	33	s	s	X
ejpam-5613	178	34	,	,	PUNCT
ejpam-5613	178	35	r	r	NOUN
ejpam-5613	178	36	)	)	PUNCT
ejpam-5613	178	37	drds	drd	NOUN
ejpam-5613	178	38	)	)	PUNCT
ejpam-5613	178	39	∂2	∂2	PROPN
ejpam-5613	179	1	∂w∂t	∂w∂t	INTJ
ejpam-5613	179	2	y	y	PROPN
ejpam-5613	179	3	(	(	PUNCT
ejpam-5613	179	4	t	t	PROPN
ejpam-5613	179	5	,	,	PUNCT
ejpam-5613	179	6	w	w	NOUN
ejpam-5613	179	7	)	)	PUNCT
ejpam-5613	179	8	dwdt	dwdt	NOUN
ejpam-5613	179	9	−	−	PROPN
ejpam-5613	179	10	∫	∫	PROPN
ejpam-5613	179	11	u	u	PROPN
ejpam-5613	179	12	a	a	DET
ejpam-5613	179	13	∫	∫	PROPN
ejpam-5613	179	14	d	d	X
ejpam-5613	179	15	v	v	PROPN
ejpam-5613	179	16	(	(	PUNCT
ejpam-5613	179	17	∫	∫	PROPN
ejpam-5613	179	18	u	u	NOUN
ejpam-5613	179	19	t	t	PROPN
ejpam-5613	179	20	∫	∫	PROPN
ejpam-5613	180	1	w	w	PROPN
ejpam-5613	180	2	v	v	PROPN
ejpam-5613	180	3	α	α	PROPN
ejpam-5613	180	4	(	(	PUNCT
ejpam-5613	180	5	s	s	X
ejpam-5613	180	6	,	,	PUNCT
ejpam-5613	180	7	r	r	NOUN
ejpam-5613	180	8	)	)	PUNCT
ejpam-5613	180	9	drds	drd	NOUN
ejpam-5613	180	10	)	)	PUNCT
ejpam-5613	180	11	∂2	∂2	PROPN
ejpam-5613	181	1	∂w∂t	∂w∂t	INTJ
ejpam-5613	181	2	y	y	PROPN
ejpam-5613	181	3	(	(	PUNCT
ejpam-5613	181	4	t	t	PROPN
ejpam-5613	181	5	,	,	PUNCT
ejpam-5613	181	6	w	w	NOUN
ejpam-5613	181	7	)	)	PUNCT
ejpam-5613	181	8	dwdt	dwdt	NOUN
ejpam-5613	181	9	−	−	PROPN
ejpam-5613	181	10	∫	∫	PROPN
ejpam-5613	181	11	b	b	PROPN
ejpam-5613	181	12	u	u	PROPN
ejpam-5613	181	13	∫	∫	PROPN
ejpam-5613	181	14	v	v	PROPN
ejpam-5613	181	15	c	c	PROPN
ejpam-5613	181	16	(	(	PUNCT
ejpam-5613	181	17	∫	∫	PROPN
ejpam-5613	181	18	t	t	PROPN
ejpam-5613	181	19	u	u	X
ejpam-5613	181	20	∫	∫	PROPN
ejpam-5613	181	21	v	v	PROPN
ejpam-5613	181	22	w	w	PROPN
ejpam-5613	181	23	α	α	PROPN
ejpam-5613	181	24	(	(	PUNCT
ejpam-5613	181	25	s	s	PROPN
ejpam-5613	181	26	,	,	PUNCT
ejpam-5613	181	27	r	r	NOUN
ejpam-5613	181	28	)	)	PUNCT
ejpam-5613	181	29	drds	drd	NOUN
ejpam-5613	181	30	)	)	PUNCT
ejpam-5613	181	31	∂2	∂2	PROPN
ejpam-5613	182	1	∂w∂t	∂w∂t	INTJ
ejpam-5613	182	2	y	y	PROPN
ejpam-5613	182	3	(	(	PUNCT
ejpam-5613	182	4	t	t	PROPN
ejpam-5613	182	5	,	,	PUNCT
ejpam-5613	182	6	w	w	NOUN
ejpam-5613	182	7	)	)	PUNCT
ejpam-5613	182	8	dwdt	dwdt	NOUN
ejpam-5613	182	9	+	+	CCONJ
ejpam-5613	182	10	∫	∫	PROPN
ejpam-5613	182	11	u	u	PROPN
ejpam-5613	182	12	a	a	DET
ejpam-5613	182	13	∫	∫	PROPN
ejpam-5613	182	14	v	v	ADP
ejpam-5613	182	15	c	c	PROPN
ejpam-5613	182	16	(	(	PUNCT
ejpam-5613	182	17	∫	∫	PROPN
ejpam-5613	182	18	u	u	X
ejpam-5613	182	19	t	t	PROPN
ejpam-5613	182	20	∫	∫	PROPN
ejpam-5613	182	21	v	v	PROPN
ejpam-5613	182	22	w	w	PROPN
ejpam-5613	182	23	α	α	PROPN
ejpam-5613	182	24	(	(	PUNCT
ejpam-5613	182	25	s	s	PROPN
ejpam-5613	182	26	,	,	PUNCT
ejpam-5613	182	27	r	r	NOUN
ejpam-5613	182	28	)	)	PUNCT
ejpam-5613	182	29	drds	drd	NOUN
ejpam-5613	182	30	)	)	PUNCT
ejpam-5613	182	31	∂2	∂2	PROPN
ejpam-5613	183	1	∂w∂t	∂w∂t	INTJ
ejpam-5613	183	2	y	y	PROPN
ejpam-5613	183	3	(	(	PUNCT
ejpam-5613	183	4	t	t	PROPN
ejpam-5613	183	5	,	,	PUNCT
ejpam-5613	183	6	w	w	NOUN
ejpam-5613	183	7	)	)	PUNCT
ejpam-5613	183	8	dwdt	dwdt	NOUN
ejpam-5613	183	9	.	.	PUNCT
ejpam-5613	184	1	(	(	PUNCT
ejpam-5613	184	2	2.6	2.6	NUM
ejpam-5613	184	3	)	)	PUNCT
ejpam-5613	184	4	by	by	ADP
ejpam-5613	184	5	taking	take	VERB
ejpam-5613	184	6	the	the	DET
ejpam-5613	184	7	norm	norm	NOUN
ejpam-5613	184	8	∥·∥e1×e2	∥·∥e1×e2	PROPN
ejpam-5613	184	9	on	on	ADP
ejpam-5613	184	10	both	both	DET
ejpam-5613	184	11	sides	side	NOUN
ejpam-5613	184	12	(	(	PUNCT
ejpam-5613	184	13	2.6	2.6	NUM
ejpam-5613	184	14	)	)	PUNCT
ejpam-5613	184	15	,	,	PUNCT
ejpam-5613	184	16	we	we	PRON
ejpam-5613	184	17	get	get	VERB
ejpam-5613	184	18	∥∥∥∥(∫	∥∥∥∥(∫	PROPN
ejpam-5613	184	19	b	b	SYM
ejpam-5613	184	20	u	u	NOUN
ejpam-5613	184	21	∫	∫	PROPN
ejpam-5613	184	22	d	d	X
ejpam-5613	184	23	v	v	ADP
ejpam-5613	184	24	α	α	PROPN
ejpam-5613	184	25	(	(	PUNCT
ejpam-5613	184	26	s	s	X
ejpam-5613	184	27	,	,	PUNCT
ejpam-5613	184	28	r	r	NOUN
ejpam-5613	184	29	)	)	PUNCT
ejpam-5613	184	30	drds	drd	NOUN
ejpam-5613	184	31	)	)	PUNCT
ejpam-5613	185	1	y	y	PROPN
ejpam-5613	185	2	(	(	PUNCT
ejpam-5613	185	3	b	b	X
ejpam-5613	185	4	,	,	PUNCT
ejpam-5613	185	5	d)−	d)−	PROPN
ejpam-5613	185	6	(	(	PUNCT
ejpam-5613	185	7	∫	∫	PROPN
ejpam-5613	185	8	b	b	SYM
ejpam-5613	185	9	u	u	PROPN
ejpam-5613	185	10	∫	∫	PROPN
ejpam-5613	185	11	v	v	X
ejpam-5613	185	12	c	c	PROPN
ejpam-5613	185	13	α	α	PROPN
ejpam-5613	185	14	(	(	PUNCT
ejpam-5613	185	15	s	s	X
ejpam-5613	185	16	,	,	PUNCT
ejpam-5613	185	17	r	r	NOUN
ejpam-5613	185	18	)	)	PUNCT
ejpam-5613	185	19	drds	drd	NOUN
ejpam-5613	185	20	)	)	PUNCT
ejpam-5613	185	21	y	y	PROPN
ejpam-5613	185	22	(	(	PUNCT
ejpam-5613	185	23	b	b	NOUN
ejpam-5613	185	24	,	,	PUNCT
ejpam-5613	185	25	c	c	NOUN
ejpam-5613	185	26	)	)	PUNCT
ejpam-5613	185	27	−	−	PROPN
ejpam-5613	186	1	(	(	PUNCT
ejpam-5613	186	2	∫	∫	PROPN
ejpam-5613	186	3	u	u	PROPN
ejpam-5613	186	4	a	a	DET
ejpam-5613	186	5	∫	∫	PROPN
ejpam-5613	187	1	d	d	X
ejpam-5613	187	2	v	v	ADP
ejpam-5613	187	3	α	α	PROPN
ejpam-5613	187	4	(	(	PUNCT
ejpam-5613	187	5	s	s	X
ejpam-5613	187	6	,	,	PUNCT
ejpam-5613	187	7	r	r	NOUN
ejpam-5613	187	8	)	)	PUNCT
ejpam-5613	187	9	drds	drd	NOUN
ejpam-5613	187	10	)	)	PUNCT
ejpam-5613	187	11	y	y	PROPN
ejpam-5613	187	12	(	(	PUNCT
ejpam-5613	187	13	a	a	DET
ejpam-5613	187	14	,	,	PUNCT
ejpam-5613	187	15	d	d	NOUN
ejpam-5613	187	16	)	)	PUNCT
ejpam-5613	188	1	+	+	CCONJ
ejpam-5613	188	2	(	(	PUNCT
ejpam-5613	188	3	∫	∫	PROPN
ejpam-5613	188	4	u	u	PROPN
ejpam-5613	188	5	a	a	DET
ejpam-5613	188	6	∫	∫	PROPN
ejpam-5613	188	7	v	v	NOUN
ejpam-5613	188	8	c	c	NOUN
ejpam-5613	188	9	α	α	PROPN
ejpam-5613	188	10	(	(	PUNCT
ejpam-5613	188	11	s	s	X
ejpam-5613	188	12	,	,	PUNCT
ejpam-5613	188	13	r	r	NOUN
ejpam-5613	188	14	)	)	PUNCT
ejpam-5613	188	15	drds	drd	NOUN
ejpam-5613	188	16	)	)	PUNCT
ejpam-5613	188	17	y	y	PROPN
ejpam-5613	188	18	(	(	PUNCT
ejpam-5613	188	19	a	a	PRON
ejpam-5613	188	20	,	,	PUNCT
ejpam-5613	188	21	c	c	NOUN
ejpam-5613	188	22	)	)	PUNCT
ejpam-5613	189	1	−	−	NOUN
ejpam-5613	189	2	∫	∫	PROPN
ejpam-5613	190	1	b	b	PROPN
ejpam-5613	190	2	a	a	DET
ejpam-5613	190	3	y	y	PROPN
ejpam-5613	190	4	(	(	PUNCT
ejpam-5613	190	5	t	t	PROPN
ejpam-5613	190	6	,	,	PUNCT
ejpam-5613	190	7	d	d	NOUN
ejpam-5613	190	8	)	)	PUNCT
ejpam-5613	190	9	(	(	PUNCT
ejpam-5613	190	10	∫	∫	PROPN
ejpam-5613	190	11	d	d	X
ejpam-5613	190	12	v	v	ADP
ejpam-5613	190	13	α	α	PROPN
ejpam-5613	190	14	(	(	PUNCT
ejpam-5613	190	15	t	t	PROPN
ejpam-5613	190	16	,	,	PUNCT
ejpam-5613	190	17	r	r	NOUN
ejpam-5613	190	18	)	)	PUNCT
ejpam-5613	190	19	dr	dr	PROPN
ejpam-5613	190	20	)	)	PUNCT
ejpam-5613	190	21	dt−	dt−	PROPN
ejpam-5613	190	22	∫	∫	PROPN
ejpam-5613	191	1	b	b	PROPN
ejpam-5613	191	2	a	a	DET
ejpam-5613	191	3	y	y	PROPN
ejpam-5613	191	4	(	(	PUNCT
ejpam-5613	191	5	t	t	PROPN
ejpam-5613	191	6	,	,	PUNCT
ejpam-5613	191	7	c	c	NOUN
ejpam-5613	191	8	)	)	PUNCT
ejpam-5613	191	9	(	(	PUNCT
ejpam-5613	191	10	∫	∫	PROPN
ejpam-5613	191	11	v	v	X
ejpam-5613	191	12	c	c	PROPN
ejpam-5613	191	13	α	α	PROPN
ejpam-5613	191	14	(	(	PUNCT
ejpam-5613	191	15	t	t	PROPN
ejpam-5613	191	16	,	,	PUNCT
ejpam-5613	191	17	r	r	NOUN
ejpam-5613	191	18	)	)	PUNCT
ejpam-5613	191	19	dr	dr	PROPN
ejpam-5613	191	20	)	)	PUNCT
ejpam-5613	191	21	dt	dt	PROPN
ejpam-5613	192	1	−	−	PROPN
ejpam-5613	192	2	∫	∫	PROPN
ejpam-5613	193	1	d	d	X
ejpam-5613	193	2	c	c	PROPN
ejpam-5613	193	3	y	y	PROPN
ejpam-5613	193	4	(	(	PUNCT
ejpam-5613	193	5	b	b	PROPN
ejpam-5613	193	6	,	,	PUNCT
ejpam-5613	193	7	w	w	NOUN
ejpam-5613	193	8	)	)	PUNCT
ejpam-5613	193	9	(	(	PUNCT
ejpam-5613	193	10	∫	∫	PROPN
ejpam-5613	193	11	b	b	PROPN
ejpam-5613	193	12	u	u	PROPN
ejpam-5613	193	13	α	α	PROPN
ejpam-5613	193	14	(	(	PUNCT
ejpam-5613	193	15	s	s	PROPN
ejpam-5613	193	16	,	,	PUNCT
ejpam-5613	193	17	w	w	NOUN
ejpam-5613	193	18	)	)	PUNCT
ejpam-5613	193	19	ds	ds	ADJ
ejpam-5613	193	20	)	)	PUNCT
ejpam-5613	193	21	dw	dw	NOUN
ejpam-5613	194	1	−	−	PROPN
ejpam-5613	194	2	∫	∫	PROPN
ejpam-5613	195	1	d	d	X
ejpam-5613	195	2	c	c	PROPN
ejpam-5613	195	3	y	y	PROPN
ejpam-5613	195	4	(	(	PUNCT
ejpam-5613	195	5	a	a	DET
ejpam-5613	195	6	,	,	PUNCT
ejpam-5613	195	7	w	w	NOUN
ejpam-5613	195	8	)	)	PUNCT
ejpam-5613	195	9	(	(	PUNCT
ejpam-5613	195	10	∫	∫	PROPN
ejpam-5613	195	11	u	u	PROPN
ejpam-5613	195	12	a	a	DET
ejpam-5613	195	13	α	α	X
ejpam-5613	195	14	(	(	PUNCT
ejpam-5613	195	15	s	s	PROPN
ejpam-5613	195	16	,	,	PUNCT
ejpam-5613	195	17	w	w	NOUN
ejpam-5613	195	18	)	)	PUNCT
ejpam-5613	195	19	ds	ds	ADJ
ejpam-5613	195	20	)	)	PUNCT
ejpam-5613	195	21	dw	dw	PROPN
ejpam-5613	196	1	+	+	CCONJ
ejpam-5613	196	2	∫	∫	PROPN
ejpam-5613	197	1	b	b	PROPN
ejpam-5613	197	2	a	a	DET
ejpam-5613	197	3	∫	∫	PROPN
ejpam-5613	197	4	d	d	X
ejpam-5613	197	5	c	c	PROPN
ejpam-5613	197	6	α	α	PROPN
ejpam-5613	197	7	(	(	PUNCT
ejpam-5613	197	8	t	t	PROPN
ejpam-5613	197	9	,	,	PUNCT
ejpam-5613	197	10	w)y	w)y	X
ejpam-5613	197	11	(	(	PUNCT
ejpam-5613	197	12	t	t	PROPN
ejpam-5613	197	13	,	,	PUNCT
ejpam-5613	197	14	w	w	NOUN
ejpam-5613	197	15	)	)	PUNCT
ejpam-5613	197	16	dwdt	dwdt	NOUN
ejpam-5613	197	17	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	197	18	e1×e2	e1×e2	VERB
ejpam-5613	197	19	≤	≤	NUM
ejpam-5613	197	20	∫	∫	PROPN
ejpam-5613	197	21	b	b	SYM
ejpam-5613	197	22	u	u	PROPN
ejpam-5613	197	23	∫	∫	PROPN
ejpam-5613	197	24	d	d	X
ejpam-5613	197	25	v	v	PROPN
ejpam-5613	197	26	(	(	PUNCT
ejpam-5613	197	27	∫	∫	PROPN
ejpam-5613	197	28	t	t	PROPN
ejpam-5613	197	29	u	u	PROPN
ejpam-5613	197	30	∫	∫	PROPN
ejpam-5613	197	31	w	w	PROPN
ejpam-5613	197	32	v	v	PROPN
ejpam-5613	197	33	|α	|α	NOUN
ejpam-5613	197	34	(	(	PUNCT
ejpam-5613	197	35	s	s	PROPN
ejpam-5613	197	36	,	,	PUNCT
ejpam-5613	197	37	r)|	r)|	ADJ
ejpam-5613	197	38	drds	drd	NOUN
ejpam-5613	197	39	)	)	PUNCT
ejpam-5613	197	40	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	197	41	∂2	∂2	NUM
ejpam-5613	197	42	∂w∂t	∂w∂t	ADJ
ejpam-5613	197	43	y	y	PROPN
ejpam-5613	197	44	(	(	PUNCT
ejpam-5613	197	45	t	t	PROPN
ejpam-5613	197	46	,	,	PUNCT
ejpam-5613	197	47	w	w	PROPN
ejpam-5613	197	48	)	)	PUNCT
ejpam-5613	197	49	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	198	1	e1×e2	e1×e2	VERB
ejpam-5613	198	2	dwdt	dwdt	NOUN
ejpam-5613	198	3	o.	o.	PROPN
ejpam-5613	198	4	b.	b.	PROPN
ejpam-5613	198	5	almutairi	almutairi	PROPN
ejpam-5613	198	6	,	,	PUNCT
ejpam-5613	198	7	m.	m.	NOUN
ejpam-5613	198	8	a.	a.	PROPN
ejpam-5613	198	9	latif	latif	PROPN
ejpam-5613	198	10	/	/	SYM
ejpam-5613	198	11	eur	eur	PROPN
ejpam-5613	198	12	.	.	PUNCT
ejpam-5613	199	1	j.	j.	PROPN
ejpam-5613	199	2	pure	pure	PROPN
ejpam-5613	199	3	appl	appl	PROPN
ejpam-5613	199	4	.	.	PROPN
ejpam-5613	199	5	math	math	PROPN
ejpam-5613	199	6	,	,	PUNCT
ejpam-5613	199	7	18	18	NUM
ejpam-5613	199	8	(	(	PUNCT
ejpam-5613	199	9	1	1	NUM
ejpam-5613	199	10	)	)	PUNCT
ejpam-5613	199	11	(	(	PUNCT
ejpam-5613	199	12	2025	2025	NUM
ejpam-5613	199	13	)	)	PUNCT
ejpam-5613	199	14	,	,	PUNCT
ejpam-5613	199	15	5608	5608	NUM
ejpam-5613	199	16	10	10	NUM
ejpam-5613	199	17	of	of	ADP
ejpam-5613	199	18	33∫	33∫	NUM
ejpam-5613	199	19	u	u	NOUN
ejpam-5613	199	20	a	a	DET
ejpam-5613	199	21	∫	∫	PROPN
ejpam-5613	199	22	d	d	X
ejpam-5613	199	23	v	v	PROPN
ejpam-5613	199	24	(	(	PUNCT
ejpam-5613	199	25	∫	∫	PROPN
ejpam-5613	199	26	u	u	NOUN
ejpam-5613	199	27	t	t	PROPN
ejpam-5613	199	28	∫	∫	PROPN
ejpam-5613	199	29	w	w	PROPN
ejpam-5613	199	30	v	v	PROPN
ejpam-5613	199	31	|α	|α	NOUN
ejpam-5613	199	32	(	(	PUNCT
ejpam-5613	199	33	s	s	PROPN
ejpam-5613	199	34	,	,	PUNCT
ejpam-5613	199	35	r)|	r)|	ADJ
ejpam-5613	199	36	drds	drd	NOUN
ejpam-5613	199	37	)	)	PUNCT
ejpam-5613	199	38	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	200	1	∂2	∂2	NUM
ejpam-5613	200	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	200	3	y	y	PROPN
ejpam-5613	200	4	(	(	PUNCT
ejpam-5613	200	5	t	t	PROPN
ejpam-5613	200	6	,	,	PUNCT
ejpam-5613	200	7	w	w	PROPN
ejpam-5613	200	8	)	)	PUNCT
ejpam-5613	200	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	201	1	e1×e2	e1×e2	VERB
ejpam-5613	201	2	dwdt	dwdt	NOUN
ejpam-5613	201	3	+	+	CCONJ
ejpam-5613	201	4	∫	∫	PROPN
ejpam-5613	201	5	b	b	X
ejpam-5613	201	6	u	u	PROPN
ejpam-5613	201	7	∫	∫	PROPN
ejpam-5613	201	8	v	v	PROPN
ejpam-5613	201	9	c	c	PROPN
ejpam-5613	201	10	(	(	PUNCT
ejpam-5613	201	11	∫	∫	PROPN
ejpam-5613	201	12	t	t	PROPN
ejpam-5613	201	13	u	u	X
ejpam-5613	201	14	∫	∫	PROPN
ejpam-5613	201	15	v	v	PROPN
ejpam-5613	201	16	w	w	PROPN
ejpam-5613	201	17	|α	|α	PROPN
ejpam-5613	201	18	(	(	PUNCT
ejpam-5613	201	19	s	s	PROPN
ejpam-5613	201	20	,	,	PUNCT
ejpam-5613	201	21	r)|	r)|	ADJ
ejpam-5613	201	22	drds	drd	NOUN
ejpam-5613	201	23	)	)	PUNCT
ejpam-5613	201	24	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	202	1	∂2	∂2	NUM
ejpam-5613	202	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	202	3	y	y	PROPN
ejpam-5613	202	4	(	(	PUNCT
ejpam-5613	202	5	t	t	PROPN
ejpam-5613	202	6	,	,	PUNCT
ejpam-5613	202	7	w	w	PROPN
ejpam-5613	202	8	)	)	PUNCT
ejpam-5613	202	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	203	1	e1×e2	e1×e2	VERB
ejpam-5613	203	2	dwdt	dwdt	NOUN
ejpam-5613	203	3	+	+	CCONJ
ejpam-5613	203	4	∫	∫	PROPN
ejpam-5613	203	5	u	u	PROPN
ejpam-5613	203	6	a	a	DET
ejpam-5613	203	7	∫	∫	PROPN
ejpam-5613	203	8	v	v	ADP
ejpam-5613	203	9	c	c	PROPN
ejpam-5613	203	10	(	(	PUNCT
ejpam-5613	203	11	∫	∫	PROPN
ejpam-5613	203	12	u	u	X
ejpam-5613	203	13	t	t	PROPN
ejpam-5613	203	14	∫	∫	PROPN
ejpam-5613	203	15	v	v	PROPN
ejpam-5613	203	16	w	w	PROPN
ejpam-5613	203	17	|α	|α	PROPN
ejpam-5613	203	18	(	(	PUNCT
ejpam-5613	203	19	s	s	PROPN
ejpam-5613	203	20	,	,	PUNCT
ejpam-5613	203	21	r)|	r)|	ADJ
ejpam-5613	203	22	drds	drd	NOUN
ejpam-5613	203	23	)	)	PUNCT
ejpam-5613	203	24	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	204	1	∂2	∂2	NUM
ejpam-5613	204	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	204	3	y	y	PROPN
ejpam-5613	204	4	(	(	PUNCT
ejpam-5613	204	5	t	t	PROPN
ejpam-5613	204	6	,	,	PUNCT
ejpam-5613	204	7	w	w	PROPN
ejpam-5613	204	8	)	)	PUNCT
ejpam-5613	204	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	205	1	e1×e2	e1×e2	VERB
ejpam-5613	205	2	dwdt	dwdt	NOUN
ejpam-5613	205	3	:	:	PUNCT
ejpam-5613	205	4	=	=	SYM
ejpam-5613	205	5	b	b	X
ejpam-5613	205	6	(	(	PUNCT
ejpam-5613	205	7	α	α	NOUN
ejpam-5613	205	8	,	,	PUNCT
ejpam-5613	205	9	y	y	PROPN
ejpam-5613	205	10	,	,	PUNCT
ejpam-5613	205	11	u	u	NOUN
ejpam-5613	205	12	,	,	PUNCT
ejpam-5613	205	13	v	v	NOUN
ejpam-5613	205	14	)	)	PUNCT
ejpam-5613	205	15	.	.	PUNCT
ejpam-5613	206	1	(	(	PUNCT
ejpam-5613	206	2	2.7	2.7	NUM
ejpam-5613	206	3	)	)	PUNCT
ejpam-5613	206	4	corollary	corollary	ADJ
ejpam-5613	206	5	1	1	NUM
ejpam-5613	206	6	.	.	PUNCT
ejpam-5613	207	1	with	with	ADP
ejpam-5613	207	2	the	the	DET
ejpam-5613	207	3	assumptions	assumption	NOUN
ejpam-5613	207	4	of	of	ADP
ejpam-5613	207	5	theorem	theorem	NOUN
ejpam-5613	207	6	4	4	NUM
ejpam-5613	207	7	,	,	PUNCT
ejpam-5613	207	8	we	we	PRON
ejpam-5613	207	9	get∥∥∥∥(∫	get∥∥∥∥(∫	X
ejpam-5613	208	1	b	b	X
ejpam-5613	208	2	u	u	NOUN
ejpam-5613	208	3	∫	∫	PROPN
ejpam-5613	208	4	d	d	X
ejpam-5613	208	5	v	v	ADP
ejpam-5613	208	6	α	α	PROPN
ejpam-5613	208	7	(	(	PUNCT
ejpam-5613	208	8	s	s	X
ejpam-5613	208	9	,	,	PUNCT
ejpam-5613	208	10	r	r	NOUN
ejpam-5613	208	11	)	)	PUNCT
ejpam-5613	208	12	drds	drd	NOUN
ejpam-5613	208	13	)	)	PUNCT
ejpam-5613	208	14	y	y	PROPN
ejpam-5613	208	15	(	(	PUNCT
ejpam-5613	208	16	b	b	NOUN
ejpam-5613	208	17	,	,	PUNCT
ejpam-5613	208	18	d	d	NOUN
ejpam-5613	208	19	)	)	PUNCT
ejpam-5613	209	1	+	+	CCONJ
ejpam-5613	209	2	(	(	PUNCT
ejpam-5613	209	3	∫	∫	PROPN
ejpam-5613	209	4	u	u	PROPN
ejpam-5613	209	5	a	a	DET
ejpam-5613	209	6	∫	∫	PROPN
ejpam-5613	209	7	d	d	X
ejpam-5613	209	8	v	v	ADP
ejpam-5613	209	9	α	α	PROPN
ejpam-5613	209	10	(	(	PUNCT
ejpam-5613	209	11	s	s	X
ejpam-5613	209	12	,	,	PUNCT
ejpam-5613	209	13	r	r	NOUN
ejpam-5613	209	14	)	)	PUNCT
ejpam-5613	209	15	drds	drd	NOUN
ejpam-5613	209	16	)	)	PUNCT
ejpam-5613	209	17	y	y	PROPN
ejpam-5613	209	18	(	(	PUNCT
ejpam-5613	209	19	a	a	DET
ejpam-5613	209	20	,	,	PUNCT
ejpam-5613	209	21	d	d	NOUN
ejpam-5613	209	22	)	)	PUNCT
ejpam-5613	210	1	+	+	CCONJ
ejpam-5613	210	2	(	(	PUNCT
ejpam-5613	210	3	∫	∫	PROPN
ejpam-5613	210	4	b	b	SYM
ejpam-5613	210	5	u	u	PROPN
ejpam-5613	210	6	∫	∫	PROPN
ejpam-5613	210	7	v	v	X
ejpam-5613	210	8	c	c	PROPN
ejpam-5613	210	9	α	α	PROPN
ejpam-5613	210	10	(	(	PUNCT
ejpam-5613	210	11	s	s	X
ejpam-5613	210	12	,	,	PUNCT
ejpam-5613	210	13	r	r	NOUN
ejpam-5613	210	14	)	)	PUNCT
ejpam-5613	210	15	drds	drd	NOUN
ejpam-5613	210	16	)	)	PUNCT
ejpam-5613	210	17	y	y	PROPN
ejpam-5613	210	18	(	(	PUNCT
ejpam-5613	210	19	b	b	NOUN
ejpam-5613	210	20	,	,	PUNCT
ejpam-5613	210	21	c	c	NOUN
ejpam-5613	210	22	)	)	PUNCT
ejpam-5613	211	1	+	+	CCONJ
ejpam-5613	211	2	(	(	PUNCT
ejpam-5613	211	3	∫	∫	PROPN
ejpam-5613	211	4	u	u	PROPN
ejpam-5613	211	5	a	a	DET
ejpam-5613	211	6	∫	∫	PROPN
ejpam-5613	211	7	v	v	NOUN
ejpam-5613	211	8	c	c	NOUN
ejpam-5613	211	9	α	α	PROPN
ejpam-5613	211	10	(	(	PUNCT
ejpam-5613	211	11	s	s	X
ejpam-5613	211	12	,	,	PUNCT
ejpam-5613	211	13	r	r	NOUN
ejpam-5613	211	14	)	)	PUNCT
ejpam-5613	211	15	drds	drd	NOUN
ejpam-5613	211	16	)	)	PUNCT
ejpam-5613	211	17	y	y	PROPN
ejpam-5613	211	18	(	(	PUNCT
ejpam-5613	211	19	a	a	PRON
ejpam-5613	211	20	,	,	PUNCT
ejpam-5613	211	21	c	c	NOUN
ejpam-5613	211	22	)	)	PUNCT
ejpam-5613	212	1	−	−	NOUN
ejpam-5613	212	2	∫	∫	PROPN
ejpam-5613	213	1	b	b	PROPN
ejpam-5613	213	2	a	a	DET
ejpam-5613	213	3	y	y	PROPN
ejpam-5613	213	4	(	(	PUNCT
ejpam-5613	213	5	t	t	PROPN
ejpam-5613	213	6	,	,	PUNCT
ejpam-5613	213	7	d	d	NOUN
ejpam-5613	213	8	)	)	PUNCT
ejpam-5613	213	9	(	(	PUNCT
ejpam-5613	213	10	∫	∫	PROPN
ejpam-5613	213	11	d	d	X
ejpam-5613	213	12	v	v	ADP
ejpam-5613	213	13	α	α	PROPN
ejpam-5613	213	14	(	(	PUNCT
ejpam-5613	213	15	t	t	PROPN
ejpam-5613	213	16	,	,	PUNCT
ejpam-5613	213	17	r	r	NOUN
ejpam-5613	213	18	)	)	PUNCT
ejpam-5613	213	19	dr	dr	PROPN
ejpam-5613	213	20	)	)	PUNCT
ejpam-5613	213	21	dt−	dt−	PROPN
ejpam-5613	213	22	∫	∫	PROPN
ejpam-5613	214	1	b	b	PROPN
ejpam-5613	214	2	a	a	DET
ejpam-5613	214	3	y	y	PROPN
ejpam-5613	214	4	(	(	PUNCT
ejpam-5613	214	5	t	t	PROPN
ejpam-5613	214	6	,	,	PUNCT
ejpam-5613	214	7	c	c	NOUN
ejpam-5613	214	8	)	)	PUNCT
ejpam-5613	214	9	(	(	PUNCT
ejpam-5613	214	10	∫	∫	PROPN
ejpam-5613	214	11	v	v	X
ejpam-5613	214	12	c	c	PROPN
ejpam-5613	214	13	α	α	PROPN
ejpam-5613	214	14	(	(	PUNCT
ejpam-5613	214	15	t	t	PROPN
ejpam-5613	214	16	,	,	PUNCT
ejpam-5613	214	17	r	r	NOUN
ejpam-5613	214	18	)	)	PUNCT
ejpam-5613	214	19	dr	dr	PROPN
ejpam-5613	214	20	)	)	PUNCT
ejpam-5613	214	21	dt	dt	PROPN
ejpam-5613	215	1	−	−	PROPN
ejpam-5613	215	2	∫	∫	PROPN
ejpam-5613	216	1	d	d	X
ejpam-5613	216	2	c	c	PROPN
ejpam-5613	216	3	y	y	PROPN
ejpam-5613	216	4	(	(	PUNCT
ejpam-5613	216	5	b	b	PROPN
ejpam-5613	216	6	,	,	PUNCT
ejpam-5613	216	7	w	w	NOUN
ejpam-5613	216	8	)	)	PUNCT
ejpam-5613	216	9	(	(	PUNCT
ejpam-5613	216	10	∫	∫	PROPN
ejpam-5613	216	11	b	b	PROPN
ejpam-5613	216	12	u	u	PROPN
ejpam-5613	216	13	α	α	PROPN
ejpam-5613	216	14	(	(	PUNCT
ejpam-5613	216	15	s	s	PROPN
ejpam-5613	216	16	,	,	PUNCT
ejpam-5613	216	17	w	w	NOUN
ejpam-5613	216	18	)	)	PUNCT
ejpam-5613	216	19	ds	ds	ADJ
ejpam-5613	216	20	)	)	PUNCT
ejpam-5613	216	21	dw	dw	NOUN
ejpam-5613	217	1	−	−	PROPN
ejpam-5613	217	2	∫	∫	PROPN
ejpam-5613	218	1	d	d	X
ejpam-5613	218	2	c	c	PROPN
ejpam-5613	218	3	y	y	PROPN
ejpam-5613	218	4	(	(	PUNCT
ejpam-5613	218	5	a	a	DET
ejpam-5613	218	6	,	,	PUNCT
ejpam-5613	218	7	w	w	NOUN
ejpam-5613	218	8	)	)	PUNCT
ejpam-5613	218	9	(	(	PUNCT
ejpam-5613	218	10	∫	∫	PROPN
ejpam-5613	218	11	u	u	PROPN
ejpam-5613	218	12	a	a	DET
ejpam-5613	218	13	α	α	X
ejpam-5613	218	14	(	(	PUNCT
ejpam-5613	218	15	s	s	PROPN
ejpam-5613	218	16	,	,	PUNCT
ejpam-5613	218	17	w	w	NOUN
ejpam-5613	218	18	)	)	PUNCT
ejpam-5613	218	19	ds	ds	ADJ
ejpam-5613	218	20	)	)	PUNCT
ejpam-5613	218	21	dw	dw	PROPN
ejpam-5613	219	1	+	+	CCONJ
ejpam-5613	219	2	∫	∫	PROPN
ejpam-5613	220	1	b	b	PROPN
ejpam-5613	220	2	a	a	DET
ejpam-5613	220	3	∫	∫	PROPN
ejpam-5613	220	4	d	d	X
ejpam-5613	220	5	c	c	PROPN
ejpam-5613	220	6	α	α	PROPN
ejpam-5613	220	7	(	(	PUNCT
ejpam-5613	220	8	t	t	PROPN
ejpam-5613	220	9	,	,	PUNCT
ejpam-5613	220	10	w)y	w)y	X
ejpam-5613	220	11	(	(	PUNCT
ejpam-5613	220	12	t	t	PROPN
ejpam-5613	220	13	,	,	PUNCT
ejpam-5613	220	14	w	w	NOUN
ejpam-5613	220	15	)	)	PUNCT
ejpam-5613	220	16	dwdt	dwdt	NOUN
ejpam-5613	220	17	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	220	18	e1×e2	e1×e2	VERB
ejpam-5613	220	19	≤	≤	NUM
ejpam-5613	220	20	∫	∫	PROPN
ejpam-5613	220	21	b	b	SYM
ejpam-5613	220	22	u	u	PROPN
ejpam-5613	220	23	∫	∫	PROPN
ejpam-5613	220	24	d	d	PROPN
ejpam-5613	220	25	v	v	PROPN
ejpam-5613	220	26	|α	|α	NOUN
ejpam-5613	220	27	(	(	PUNCT
ejpam-5613	220	28	s	s	PROPN
ejpam-5613	220	29	,	,	PUNCT
ejpam-5613	220	30	r)|	r)|	ADJ
ejpam-5613	220	31	drds	drd	NOUN
ejpam-5613	220	32	∫	∫	PROPN
ejpam-5613	220	33	b	b	SYM
ejpam-5613	220	34	u	u	PROPN
ejpam-5613	220	35	∫	∫	PROPN
ejpam-5613	220	36	d	d	X
ejpam-5613	220	37	v	v	ADP
ejpam-5613	220	38	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	220	39	∂2	∂2	NOUN
ejpam-5613	220	40	∂w∂t	∂w∂t	ADJ
ejpam-5613	220	41	y	y	PROPN
ejpam-5613	220	42	(	(	PUNCT
ejpam-5613	220	43	t	t	PROPN
ejpam-5613	220	44	,	,	PUNCT
ejpam-5613	220	45	w	w	PROPN
ejpam-5613	220	46	)	)	PUNCT
ejpam-5613	220	47	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	221	1	e1×e2	e1×e2	VERB
ejpam-5613	221	2	dwdt	dwdt	NOUN
ejpam-5613	221	3	+	+	CCONJ
ejpam-5613	221	4	∫	∫	PROPN
ejpam-5613	221	5	u	u	NOUN
ejpam-5613	221	6	a	a	DET
ejpam-5613	221	7	∫	∫	PROPN
ejpam-5613	221	8	d	d	PROPN
ejpam-5613	221	9	v	v	PROPN
ejpam-5613	221	10	|α	|α	NOUN
ejpam-5613	221	11	(	(	PUNCT
ejpam-5613	221	12	s	s	PROPN
ejpam-5613	221	13	,	,	PUNCT
ejpam-5613	221	14	r)|	r)|	ADJ
ejpam-5613	221	15	drds	drd	NOUN
ejpam-5613	221	16	∫	∫	PROPN
ejpam-5613	221	17	u	u	PROPN
ejpam-5613	221	18	a	a	DET
ejpam-5613	221	19	∫	∫	PROPN
ejpam-5613	221	20	d	d	X
ejpam-5613	221	21	v	v	ADP
ejpam-5613	221	22	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	221	23	∂2	∂2	NOUN
ejpam-5613	221	24	∂w∂t	∂w∂t	ADJ
ejpam-5613	221	25	y	y	PROPN
ejpam-5613	221	26	(	(	PUNCT
ejpam-5613	221	27	t	t	PROPN
ejpam-5613	221	28	,	,	PUNCT
ejpam-5613	221	29	w	w	PROPN
ejpam-5613	221	30	)	)	PUNCT
ejpam-5613	221	31	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	222	1	e1×e2	e1×e2	VERB
ejpam-5613	222	2	dwdt	dwdt	NOUN
ejpam-5613	222	3	+	+	CCONJ
ejpam-5613	222	4	∫	∫	PROPN
ejpam-5613	222	5	b	b	X
ejpam-5613	222	6	u	u	PROPN
ejpam-5613	222	7	∫	∫	PROPN
ejpam-5613	222	8	v	v	PROPN
ejpam-5613	222	9	c	c	PROPN
ejpam-5613	222	10	|α	|α	PROPN
ejpam-5613	222	11	(	(	PUNCT
ejpam-5613	222	12	s	s	PROPN
ejpam-5613	222	13	,	,	PUNCT
ejpam-5613	222	14	r)|	r)|	ADJ
ejpam-5613	222	15	drds	drd	NOUN
ejpam-5613	222	16	∫	∫	PROPN
ejpam-5613	222	17	b	b	SYM
ejpam-5613	222	18	u	u	PROPN
ejpam-5613	222	19	∫	∫	PROPN
ejpam-5613	222	20	v	v	ADP
ejpam-5613	222	21	c	c	PROPN
ejpam-5613	222	22	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	222	23	∂2	∂2	PROPN
ejpam-5613	222	24	∂w∂t	∂w∂t	ADJ
ejpam-5613	222	25	y	y	PROPN
ejpam-5613	222	26	(	(	PUNCT
ejpam-5613	222	27	t	t	PROPN
ejpam-5613	222	28	,	,	PUNCT
ejpam-5613	222	29	w	w	PROPN
ejpam-5613	222	30	)	)	PUNCT
ejpam-5613	222	31	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	222	32	e1×e2	e1×e2	VERB
ejpam-5613	222	33	dwdt	dwdt	NOUN
ejpam-5613	222	34	+	+	CCONJ
ejpam-5613	222	35	∫	∫	PROPN
ejpam-5613	222	36	u	u	PROPN
ejpam-5613	222	37	a	a	DET
ejpam-5613	222	38	∫	∫	PROPN
ejpam-5613	222	39	v	v	PROPN
ejpam-5613	222	40	c	c	PROPN
ejpam-5613	222	41	|α	|α	PROPN
ejpam-5613	222	42	(	(	PUNCT
ejpam-5613	222	43	s	s	PROPN
ejpam-5613	222	44	,	,	PUNCT
ejpam-5613	222	45	r)|	r)|	ADJ
ejpam-5613	222	46	drds	drd	NOUN
ejpam-5613	222	47	∫	∫	PROPN
ejpam-5613	222	48	u	u	PROPN
ejpam-5613	222	49	a	a	DET
ejpam-5613	222	50	∫	∫	PROPN
ejpam-5613	222	51	v	v	ADP
ejpam-5613	222	52	c	c	PROPN
ejpam-5613	222	53	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	222	54	∂2	∂2	PROPN
ejpam-5613	222	55	∂w∂t	∂w∂t	ADJ
ejpam-5613	222	56	y	y	PROPN
ejpam-5613	222	57	(	(	PUNCT
ejpam-5613	222	58	t	t	PROPN
ejpam-5613	222	59	,	,	PUNCT
ejpam-5613	222	60	w	w	PROPN
ejpam-5613	222	61	)	)	PUNCT
ejpam-5613	222	62	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	223	1	e1×e2	e1×e2	VERB
ejpam-5613	223	2	dwdt	dwdt	NOUN
ejpam-5613	223	3	,	,	PUNCT
ejpam-5613	223	4	≤	≤	NUM
ejpam-5613	223	5			NUM
ejpam-5613	223	6	max	max	PROPN
ejpam-5613	223	7	{	{	PUNCT
ejpam-5613	223	8	∫	∫	PROPN
ejpam-5613	223	9	b	b	PROPN
ejpam-5613	223	10	u	u	PROPN
ejpam-5613	223	11	∫	∫	PROPN
ejpam-5613	223	12	d	d	PROPN
ejpam-5613	223	13	v	v	PROPN
ejpam-5613	223	14	|α	|α	NOUN
ejpam-5613	223	15	(	(	PUNCT
ejpam-5613	223	16	s	s	PROPN
ejpam-5613	223	17	,	,	PUNCT
ejpam-5613	223	18	r)|	r)|	PROPN
ejpam-5613	223	19	drds	drd	NOUN
ejpam-5613	223	20	,	,	PUNCT
ejpam-5613	223	21	∫	∫	PROPN
ejpam-5613	223	22	u	u	PROPN
ejpam-5613	223	23	a	a	DET
ejpam-5613	223	24	∫	∫	PROPN
ejpam-5613	223	25	d	d	PROPN
ejpam-5613	223	26	v	v	PROPN
ejpam-5613	223	27	|α	|α	NOUN
ejpam-5613	223	28	(	(	PUNCT
ejpam-5613	223	29	s	s	PROPN
ejpam-5613	223	30	,	,	PUNCT
ejpam-5613	223	31	r)|	r)|	ADJ
ejpam-5613	223	32	drds	drd	NOUN
ejpam-5613	223	33	+	+	CCONJ
ejpam-5613	223	34	∫	∫	PROPN
ejpam-5613	223	35	b	b	SYM
ejpam-5613	223	36	u	u	PROPN
ejpam-5613	223	37	∫	∫	PROPN
ejpam-5613	223	38	v	v	PROPN
ejpam-5613	223	39	c	c	PROPN
ejpam-5613	223	40	|α	|α	PROPN
ejpam-5613	223	41	(	(	PUNCT
ejpam-5613	223	42	s	s	PROPN
ejpam-5613	223	43	,	,	PUNCT
ejpam-5613	223	44	r)|	r)|	PROPN
ejpam-5613	223	45	drds	drd	NOUN
ejpam-5613	223	46	,	,	PUNCT
ejpam-5613	223	47	∫	∫	PROPN
ejpam-5613	223	48	u	u	PROPN
ejpam-5613	223	49	a	a	DET
ejpam-5613	223	50	∫	∫	PROPN
ejpam-5613	223	51	v	v	PROPN
ejpam-5613	223	52	c	c	PROPN
ejpam-5613	223	53	|α	|α	PROPN
ejpam-5613	223	54	(	(	PUNCT
ejpam-5613	223	55	s	s	PROPN
ejpam-5613	223	56	,	,	PUNCT
ejpam-5613	223	57	r)|	r)|	ADJ
ejpam-5613	223	58	drds	drd	NOUN
ejpam-5613	223	59	}	}	PUNCT
ejpam-5613	223	60	×	×	NOUN
ejpam-5613	223	61	∫	∫	PROPN
ejpam-5613	223	62	b	b	PROPN
ejpam-5613	223	63	a	a	DET
ejpam-5613	223	64	∫	∫	PROPN
ejpam-5613	223	65	d	d	PROPN
ejpam-5613	223	66	c	c	PROPN
ejpam-5613	223	67	∥∥∥	∥∥∥	PROPN
ejpam-5613	223	68	∂2	∂2	NOUN
ejpam-5613	223	69	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	223	70	(	(	PUNCT
ejpam-5613	223	71	t	t	PROPN
ejpam-5613	223	72	,	,	PUNCT
ejpam-5613	223	73	w	w	NOUN
ejpam-5613	223	74	)	)	PUNCT
ejpam-5613	223	75	∥∥∥	∥∥∥	PROPN
ejpam-5613	223	76	e1×e2	e1×e2	VERB
ejpam-5613	223	77	dwdt	dwdt	NOUN
ejpam-5613	223	78	,	,	PUNCT
ejpam-5613	223	79	max	max	PROPN
ejpam-5613	223	80	{	{	PUNCT
ejpam-5613	223	81	∫	∫	PROPN
ejpam-5613	223	82	b	b	PROPN
ejpam-5613	223	83	u	u	PROPN
ejpam-5613	223	84	∫	∫	PROPN
ejpam-5613	223	85	d	d	PROPN
ejpam-5613	223	86	v	v	ADP
ejpam-5613	223	87	∥∥∥	∥∥∥	PROPN
ejpam-5613	223	88	∂2	∂2	NOUN
ejpam-5613	223	89	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	223	90	(	(	PUNCT
ejpam-5613	223	91	t	t	PROPN
ejpam-5613	223	92	,	,	PUNCT
ejpam-5613	223	93	w	w	NOUN
ejpam-5613	223	94	)	)	PUNCT
ejpam-5613	223	95	∥∥∥	∥∥∥	PROPN
ejpam-5613	223	96	e1×e2	e1×e2	VERB
ejpam-5613	223	97	dwdt	dwdt	PROPN
ejpam-5613	223	98	,	,	PUNCT
ejpam-5613	223	99	∫	∫	PROPN
ejpam-5613	223	100	u	u	PROPN
ejpam-5613	223	101	a	a	DET
ejpam-5613	223	102	∫	∫	PROPN
ejpam-5613	223	103	d	d	X
ejpam-5613	223	104	v	v	ADP
ejpam-5613	223	105	∥∥∥	∥∥∥	PROPN
ejpam-5613	223	106	∂2	∂2	NOUN
ejpam-5613	223	107	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	223	108	(	(	PUNCT
ejpam-5613	223	109	t	t	PROPN
ejpam-5613	223	110	,	,	PUNCT
ejpam-5613	223	111	w	w	NOUN
ejpam-5613	223	112	)	)	PUNCT
ejpam-5613	223	113	∥∥∥	∥∥∥	NOUN
ejpam-5613	223	114	e1×e2	e1×e2	VERB
ejpam-5613	223	115	dwdt	dwdt	NOUN
ejpam-5613	223	116	+	+	CCONJ
ejpam-5613	223	117	∫	∫	PROPN
ejpam-5613	223	118	b	b	X
ejpam-5613	223	119	u	u	PROPN
ejpam-5613	223	120	∫	∫	PROPN
ejpam-5613	223	121	v	v	ADP
ejpam-5613	223	122	c	c	PROPN
ejpam-5613	223	123	∥∥∥	∥∥∥	PROPN
ejpam-5613	223	124	∂2	∂2	NOUN
ejpam-5613	223	125	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	223	126	(	(	PUNCT
ejpam-5613	223	127	t	t	PROPN
ejpam-5613	223	128	,	,	PUNCT
ejpam-5613	223	129	w	w	NOUN
ejpam-5613	223	130	)	)	PUNCT
ejpam-5613	223	131	∥∥∥	∥∥∥	PROPN
ejpam-5613	223	132	e1×e2	e1×e2	VERB
ejpam-5613	223	133	dwdt	dwdt	PROPN
ejpam-5613	223	134	,	,	PUNCT
ejpam-5613	223	135	∫	∫	PROPN
ejpam-5613	223	136	u	u	PROPN
ejpam-5613	223	137	a	a	DET
ejpam-5613	223	138	∫	∫	PROPN
ejpam-5613	223	139	v	v	ADP
ejpam-5613	223	140	c	c	PROPN
ejpam-5613	223	141	∥∥∥	∥∥∥	PROPN
ejpam-5613	223	142	∂2	∂2	NOUN
ejpam-5613	223	143	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	223	144	(	(	PUNCT
ejpam-5613	223	145	t	t	PROPN
ejpam-5613	223	146	,	,	PUNCT
ejpam-5613	223	147	w	w	NOUN
ejpam-5613	223	148	)	)	PUNCT
ejpam-5613	223	149	∥∥∥	∥∥∥	NOUN
ejpam-5613	223	150	e1×e2	e1×e2	VERB
ejpam-5613	223	151	dwdt	dwdt	NOUN
ejpam-5613	223	152	}	}	PUNCT
ejpam-5613	223	153	×	×	PROPN
ejpam-5613	223	154	∫	∫	PROPN
ejpam-5613	223	155	b	b	PROPN
ejpam-5613	224	1	a	a	DET
ejpam-5613	224	2	∫	∫	PROPN
ejpam-5613	224	3	d	d	PROPN
ejpam-5613	224	4	c	c	PROPN
ejpam-5613	224	5	|α	|α	PROPN
ejpam-5613	224	6	(	(	PUNCT
ejpam-5613	224	7	s	s	PROPN
ejpam-5613	224	8	,	,	PUNCT
ejpam-5613	224	9	r)|	r)|	ADJ
ejpam-5613	224	10	drds	drd	NOUN
ejpam-5613	224	11	o.	o.	PROPN
ejpam-5613	224	12	b.	b.	PROPN
ejpam-5613	224	13	almutairi	almutairi	PROPN
ejpam-5613	224	14	,	,	PUNCT
ejpam-5613	224	15	m.	m.	NOUN
ejpam-5613	224	16	a.	a.	PROPN
ejpam-5613	224	17	latif	latif	PROPN
ejpam-5613	224	18	/	/	SYM
ejpam-5613	224	19	eur	eur	PROPN
ejpam-5613	224	20	.	.	PUNCT
ejpam-5613	225	1	j.	j.	PROPN
ejpam-5613	225	2	pure	pure	PROPN
ejpam-5613	225	3	appl	appl	PROPN
ejpam-5613	225	4	.	.	PROPN
ejpam-5613	225	5	math	math	PROPN
ejpam-5613	225	6	,	,	PUNCT
ejpam-5613	225	7	18	18	NUM
ejpam-5613	225	8	(	(	PUNCT
ejpam-5613	225	9	1	1	NUM
ejpam-5613	225	10	)	)	PUNCT
ejpam-5613	225	11	(	(	PUNCT
ejpam-5613	225	12	2025	2025	NUM
ejpam-5613	225	13	)	)	PUNCT
ejpam-5613	225	14	,	,	PUNCT
ejpam-5613	225	15	5608	5608	NUM
ejpam-5613	225	16	11	11	NUM
ejpam-5613	225	17	of	of	ADP
ejpam-5613	225	18	33	33	NUM
ejpam-5613	225	19	≤	≤	NUM
ejpam-5613	225	20	∫	∫	PROPN
ejpam-5613	225	21	b	b	PROPN
ejpam-5613	225	22	a	a	DET
ejpam-5613	225	23	∫	∫	PROPN
ejpam-5613	225	24	d	d	PROPN
ejpam-5613	225	25	c	c	PROPN
ejpam-5613	225	26	|α	|α	PROPN
ejpam-5613	225	27	(	(	PUNCT
ejpam-5613	225	28	s	s	PROPN
ejpam-5613	225	29	,	,	PUNCT
ejpam-5613	225	30	r)|	r)|	ADJ
ejpam-5613	225	31	drds	drd	NOUN
ejpam-5613	225	32	∫	∫	PROPN
ejpam-5613	225	33	b	b	PROPN
ejpam-5613	225	34	a	a	DET
ejpam-5613	225	35	∫	∫	PROPN
ejpam-5613	225	36	d	d	X
ejpam-5613	225	37	c	c	PROPN
ejpam-5613	225	38	∂2	∂2	PROPN
ejpam-5613	225	39	∂w∂t	∂w∂t	PROPN
ejpam-5613	225	40	∥y	∥y	PROPN
ejpam-5613	225	41	(	(	PUNCT
ejpam-5613	225	42	t	t	PROPN
ejpam-5613	225	43	,	,	PUNCT
ejpam-5613	225	44	w)∥e1×e2	w)∥e1×e2	PROPN
ejpam-5613	225	45	dwdt	dwdt	NOUN
ejpam-5613	225	46	,	,	PUNCT
ejpam-5613	225	47	(	(	PUNCT
ejpam-5613	225	48	2.8	2.8	NUM
ejpam-5613	225	49	)	)	PUNCT
ejpam-5613	225	50	where	where	SCONJ
ejpam-5613	225	51	(	(	PUNCT
ejpam-5613	225	52	u	u	NOUN
ejpam-5613	225	53	,	,	PUNCT
ejpam-5613	225	54	v	v	NOUN
ejpam-5613	225	55	)	)	PUNCT
ejpam-5613	225	56	∈	∈	NOUN
ejpam-5613	226	1	[	[	X
ejpam-5613	226	2	a	a	X
ejpam-5613	226	3	,	,	PUNCT
ejpam-5613	226	4	b]×	b]×	NOUN
ejpam-5613	227	1	[	[	X
ejpam-5613	227	2	c	c	X
ejpam-5613	227	3	,	,	PUNCT
ejpam-5613	227	4	d	d	NOUN
ejpam-5613	227	5	]	]	X
ejpam-5613	227	6	.	.	PUNCT
ejpam-5613	228	1	corollary	corollary	ADJ
ejpam-5613	228	2	2	2	NUM
ejpam-5613	228	3	.	.	PUNCT
ejpam-5613	229	1	with	with	ADP
ejpam-5613	229	2	the	the	DET
ejpam-5613	229	3	assumptions	assumption	NOUN
ejpam-5613	229	4	of	of	ADP
ejpam-5613	229	5	theorem	theorem	NOUN
ejpam-5613	229	6	4	4	NUM
ejpam-5613	229	7	,	,	PUNCT
ejpam-5613	229	8	we	we	PRON
ejpam-5613	229	9	have∥∥∥∥(∫	have∥∥∥∥(∫	X
ejpam-5613	229	10	b	b	SYM
ejpam-5613	229	11	u	u	NOUN
ejpam-5613	230	1	∫	∫	PROPN
ejpam-5613	231	1	d	d	X
ejpam-5613	231	2	v	v	ADP
ejpam-5613	231	3	α	α	PROPN
ejpam-5613	231	4	(	(	PUNCT
ejpam-5613	231	5	s	s	X
ejpam-5613	231	6	,	,	PUNCT
ejpam-5613	231	7	r	r	NOUN
ejpam-5613	231	8	)	)	PUNCT
ejpam-5613	231	9	drds	drd	NOUN
ejpam-5613	231	10	)	)	PUNCT
ejpam-5613	232	1	y	y	PROPN
ejpam-5613	232	2	(	(	PUNCT
ejpam-5613	232	3	b	b	X
ejpam-5613	232	4	,	,	PUNCT
ejpam-5613	232	5	d)−	d)−	PROPN
ejpam-5613	232	6	(	(	PUNCT
ejpam-5613	232	7	∫	∫	PROPN
ejpam-5613	232	8	b	b	SYM
ejpam-5613	232	9	u	u	PROPN
ejpam-5613	232	10	∫	∫	PROPN
ejpam-5613	232	11	v	v	X
ejpam-5613	232	12	c	c	PROPN
ejpam-5613	232	13	α	α	PROPN
ejpam-5613	232	14	(	(	PUNCT
ejpam-5613	232	15	s	s	X
ejpam-5613	232	16	,	,	PUNCT
ejpam-5613	232	17	r	r	NOUN
ejpam-5613	232	18	)	)	PUNCT
ejpam-5613	232	19	drds	drd	NOUN
ejpam-5613	232	20	)	)	PUNCT
ejpam-5613	232	21	y	y	PROPN
ejpam-5613	232	22	(	(	PUNCT
ejpam-5613	232	23	b	b	NOUN
ejpam-5613	232	24	,	,	PUNCT
ejpam-5613	232	25	c	c	NOUN
ejpam-5613	232	26	)	)	PUNCT
ejpam-5613	232	27	−	−	PROPN
ejpam-5613	233	1	(	(	PUNCT
ejpam-5613	233	2	∫	∫	PROPN
ejpam-5613	233	3	u	u	PROPN
ejpam-5613	233	4	a	a	DET
ejpam-5613	233	5	∫	∫	PROPN
ejpam-5613	234	1	d	d	X
ejpam-5613	234	2	v	v	ADP
ejpam-5613	234	3	α	α	PROPN
ejpam-5613	234	4	(	(	PUNCT
ejpam-5613	234	5	s	s	X
ejpam-5613	234	6	,	,	PUNCT
ejpam-5613	234	7	r	r	NOUN
ejpam-5613	234	8	)	)	PUNCT
ejpam-5613	234	9	drds	drd	NOUN
ejpam-5613	234	10	)	)	PUNCT
ejpam-5613	234	11	y	y	PROPN
ejpam-5613	234	12	(	(	PUNCT
ejpam-5613	234	13	a	a	DET
ejpam-5613	234	14	,	,	PUNCT
ejpam-5613	234	15	d	d	NOUN
ejpam-5613	234	16	)	)	PUNCT
ejpam-5613	235	1	+	+	CCONJ
ejpam-5613	235	2	(	(	PUNCT
ejpam-5613	235	3	∫	∫	PROPN
ejpam-5613	235	4	u	u	PROPN
ejpam-5613	235	5	a	a	DET
ejpam-5613	235	6	∫	∫	PROPN
ejpam-5613	235	7	v	v	NOUN
ejpam-5613	235	8	c	c	NOUN
ejpam-5613	235	9	α	α	PROPN
ejpam-5613	235	10	(	(	PUNCT
ejpam-5613	235	11	s	s	X
ejpam-5613	235	12	,	,	PUNCT
ejpam-5613	235	13	r	r	NOUN
ejpam-5613	235	14	)	)	PUNCT
ejpam-5613	235	15	drds	drd	NOUN
ejpam-5613	235	16	)	)	PUNCT
ejpam-5613	235	17	y	y	PROPN
ejpam-5613	235	18	(	(	PUNCT
ejpam-5613	235	19	a	a	PRON
ejpam-5613	235	20	,	,	PUNCT
ejpam-5613	235	21	c	c	NOUN
ejpam-5613	235	22	)	)	PUNCT
ejpam-5613	236	1	−	−	NOUN
ejpam-5613	236	2	∫	∫	PROPN
ejpam-5613	237	1	b	b	PROPN
ejpam-5613	237	2	a	a	DET
ejpam-5613	237	3	y	y	PROPN
ejpam-5613	237	4	(	(	PUNCT
ejpam-5613	237	5	t	t	PROPN
ejpam-5613	237	6	,	,	PUNCT
ejpam-5613	237	7	d	d	NOUN
ejpam-5613	237	8	)	)	PUNCT
ejpam-5613	237	9	(	(	PUNCT
ejpam-5613	237	10	∫	∫	PROPN
ejpam-5613	237	11	d	d	X
ejpam-5613	237	12	v	v	ADP
ejpam-5613	237	13	α	α	PROPN
ejpam-5613	237	14	(	(	PUNCT
ejpam-5613	237	15	t	t	PROPN
ejpam-5613	237	16	,	,	PUNCT
ejpam-5613	237	17	r	r	NOUN
ejpam-5613	237	18	)	)	PUNCT
ejpam-5613	237	19	dr	dr	PROPN
ejpam-5613	237	20	)	)	PUNCT
ejpam-5613	237	21	dt−	dt−	PROPN
ejpam-5613	237	22	∫	∫	PROPN
ejpam-5613	238	1	b	b	PROPN
ejpam-5613	238	2	a	a	DET
ejpam-5613	238	3	y	y	PROPN
ejpam-5613	238	4	(	(	PUNCT
ejpam-5613	238	5	t	t	PROPN
ejpam-5613	238	6	,	,	PUNCT
ejpam-5613	238	7	c	c	NOUN
ejpam-5613	238	8	)	)	PUNCT
ejpam-5613	238	9	(	(	PUNCT
ejpam-5613	238	10	∫	∫	PROPN
ejpam-5613	238	11	v	v	X
ejpam-5613	238	12	c	c	PROPN
ejpam-5613	238	13	α	α	PROPN
ejpam-5613	238	14	(	(	PUNCT
ejpam-5613	238	15	t	t	PROPN
ejpam-5613	238	16	,	,	PUNCT
ejpam-5613	238	17	r	r	NOUN
ejpam-5613	238	18	)	)	PUNCT
ejpam-5613	238	19	dr	dr	PROPN
ejpam-5613	238	20	)	)	PUNCT
ejpam-5613	238	21	dt	dt	PROPN
ejpam-5613	239	1	−	−	PROPN
ejpam-5613	239	2	∫	∫	PROPN
ejpam-5613	240	1	d	d	X
ejpam-5613	240	2	c	c	PROPN
ejpam-5613	240	3	y	y	PROPN
ejpam-5613	240	4	(	(	PUNCT
ejpam-5613	240	5	b	b	PROPN
ejpam-5613	240	6	,	,	PUNCT
ejpam-5613	240	7	w	w	NOUN
ejpam-5613	240	8	)	)	PUNCT
ejpam-5613	240	9	(	(	PUNCT
ejpam-5613	240	10	∫	∫	PROPN
ejpam-5613	240	11	b	b	PROPN
ejpam-5613	240	12	u	u	PROPN
ejpam-5613	240	13	α	α	PROPN
ejpam-5613	240	14	(	(	PUNCT
ejpam-5613	240	15	s	s	PROPN
ejpam-5613	240	16	,	,	PUNCT
ejpam-5613	240	17	w	w	NOUN
ejpam-5613	240	18	)	)	PUNCT
ejpam-5613	240	19	ds	ds	ADJ
ejpam-5613	240	20	)	)	PUNCT
ejpam-5613	240	21	dw	dw	NOUN
ejpam-5613	241	1	−	−	PROPN
ejpam-5613	241	2	∫	∫	PROPN
ejpam-5613	242	1	d	d	X
ejpam-5613	242	2	c	c	PROPN
ejpam-5613	242	3	y	y	PROPN
ejpam-5613	242	4	(	(	PUNCT
ejpam-5613	242	5	a	a	DET
ejpam-5613	242	6	,	,	PUNCT
ejpam-5613	242	7	w	w	NOUN
ejpam-5613	242	8	)	)	PUNCT
ejpam-5613	242	9	(	(	PUNCT
ejpam-5613	242	10	∫	∫	PROPN
ejpam-5613	242	11	u	u	PROPN
ejpam-5613	242	12	a	a	DET
ejpam-5613	242	13	α	α	X
ejpam-5613	242	14	(	(	PUNCT
ejpam-5613	242	15	s	s	PROPN
ejpam-5613	242	16	,	,	PUNCT
ejpam-5613	242	17	w	w	NOUN
ejpam-5613	242	18	)	)	PUNCT
ejpam-5613	242	19	ds	ds	ADJ
ejpam-5613	242	20	)	)	PUNCT
ejpam-5613	242	21	dw	dw	PROPN
ejpam-5613	243	1	+	+	CCONJ
ejpam-5613	243	2	∫	∫	PROPN
ejpam-5613	244	1	b	b	PROPN
ejpam-5613	244	2	a	a	DET
ejpam-5613	244	3	∫	∫	PROPN
ejpam-5613	244	4	d	d	X
ejpam-5613	244	5	c	c	PROPN
ejpam-5613	244	6	α	α	PROPN
ejpam-5613	244	7	(	(	PUNCT
ejpam-5613	244	8	t	t	PROPN
ejpam-5613	244	9	,	,	PUNCT
ejpam-5613	244	10	w)y	w)y	X
ejpam-5613	244	11	(	(	PUNCT
ejpam-5613	244	12	t	t	PROPN
ejpam-5613	244	13	,	,	PUNCT
ejpam-5613	244	14	w	w	NOUN
ejpam-5613	244	15	)	)	PUNCT
ejpam-5613	244	16	dwdt	dwdt	NOUN
ejpam-5613	244	17	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	244	18	e1×e2	e1×e2	VERB
ejpam-5613	244	19	≤	≤	NUM
ejpam-5613	244	20	1	1	NUM
ejpam-5613	244	21	4	4	NUM
ejpam-5613	244	22	∫	∫	PROPN
ejpam-5613	244	23	b	b	PROPN
ejpam-5613	244	24	a	a	DET
ejpam-5613	244	25	∫	∫	PROPN
ejpam-5613	244	26	d	d	PROPN
ejpam-5613	244	27	c	c	PROPN
ejpam-5613	244	28	|α	|α	PROPN
ejpam-5613	244	29	(	(	PUNCT
ejpam-5613	244	30	s	s	PROPN
ejpam-5613	244	31	,	,	PUNCT
ejpam-5613	244	32	r)|	r)|	ADJ
ejpam-5613	244	33	drds	drd	NOUN
ejpam-5613	244	34	∫	∫	PROPN
ejpam-5613	244	35	b	b	PROPN
ejpam-5613	244	36	a	a	DET
ejpam-5613	244	37	∫	∫	PROPN
ejpam-5613	244	38	d	d	PROPN
ejpam-5613	244	39	c	c	PROPN
ejpam-5613	244	40	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	244	41	∂2	∂2	PROPN
ejpam-5613	244	42	∂w∂t	∂w∂t	ADJ
ejpam-5613	244	43	y	y	PROPN
ejpam-5613	244	44	(	(	PUNCT
ejpam-5613	244	45	t	t	PROPN
ejpam-5613	244	46	,	,	PUNCT
ejpam-5613	244	47	w	w	PROPN
ejpam-5613	244	48	)	)	PUNCT
ejpam-5613	244	49	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	245	1	e1×e2	e1×e2	VERB
ejpam-5613	245	2	dwdt	dwdt	NOUN
ejpam-5613	245	3	(	(	PUNCT
ejpam-5613	245	4	2.9	2.9	NUM
ejpam-5613	245	5	)	)	PUNCT
ejpam-5613	245	6	for	for	ADP
ejpam-5613	245	7	all	all	DET
ejpam-5613	245	8	m	m	PROPN
ejpam-5613	245	9	,	,	PUNCT
ejpam-5613	245	10	n	n	PRON
ejpam-5613	245	11	∈	∈	PROPN
ejpam-5613	245	12	(	(	PUNCT
ejpam-5613	245	13	a	a	PRON
ejpam-5613	245	14	,	,	PUNCT
ejpam-5613	245	15	b)×	b)×	X
ejpam-5613	245	16	(	(	PUNCT
ejpam-5613	245	17	c	c	X
ejpam-5613	245	18	,	,	PUNCT
ejpam-5613	245	19	d	d	NOUN
ejpam-5613	245	20	)	)	PUNCT
ejpam-5613	245	21	.	.	PUNCT
ejpam-5613	246	1	proposition	proposition	NOUN
ejpam-5613	246	2	1	1	NUM
ejpam-5613	246	3	.	.	PUNCT
ejpam-5613	246	4	suppose	suppose	VERB
ejpam-5613	246	5	that	that	SCONJ
ejpam-5613	246	6	α	α	PRON
ejpam-5613	246	7	:	:	PUNCT
ejpam-5613	247	1	[	[	X
ejpam-5613	247	2	a	a	X
ejpam-5613	247	3	,	,	PUNCT
ejpam-5613	247	4	b	b	NOUN
ejpam-5613	247	5	]	]	X
ejpam-5613	247	6	×	×	NOUN
ejpam-5613	247	7	[	[	X
ejpam-5613	247	8	c	c	X
ejpam-5613	247	9	,	,	PUNCT
ejpam-5613	247	10	d	d	X
ejpam-5613	247	11	]	]	X
ejpam-5613	247	12	→	→	SYM
ejpam-5613	247	13	c	c	PROPN
ejpam-5613	247	14	and	and	CCONJ
ejpam-5613	247	15	y	y	NOUN
ejpam-5613	247	16	:	:	PUNCT
ejpam-5613	248	1	[	[	X
ejpam-5613	248	2	a	a	X
ejpam-5613	248	3	,	,	PUNCT
ejpam-5613	248	4	b	b	NOUN
ejpam-5613	248	5	]	]	X
ejpam-5613	248	6	×	×	NOUN
ejpam-5613	248	7	[	[	X
ejpam-5613	248	8	c	c	X
ejpam-5613	248	9	,	,	PUNCT
ejpam-5613	248	10	d	d	X
ejpam-5613	248	11	]	]	X
ejpam-5613	248	12	→	→	PUNCT
ejpam-5613	248	13	e1	e1	PROPN
ejpam-5613	248	14	×	×	PROPN
ejpam-5613	248	15	e2	e2	NOUN
ejpam-5613	248	16	are	be	AUX
ejpam-5613	248	17	continuous	continuous	ADJ
ejpam-5613	248	18	and	and	CCONJ
ejpam-5613	248	19	∂y	∂y	PROPN
ejpam-5613	248	20	∂t	∂t	PROPN
ejpam-5613	248	21	,	,	PUNCT
ejpam-5613	248	22	∂y	∂y	PROPN
ejpam-5613	248	23	∂w	∂w	PROPN
ejpam-5613	248	24	,	,	PUNCT
ejpam-5613	248	25	∂2y	∂2y	PROPN
ejpam-5613	248	26	∂t∂w	∂t∂w	NOUN
ejpam-5613	248	27	exist	exist	VERB
ejpam-5613	248	28	on	on	ADP
ejpam-5613	248	29	(	(	PUNCT
ejpam-5613	248	30	a	a	PRON
ejpam-5613	248	31	,	,	PUNCT
ejpam-5613	248	32	b	b	NOUN
ejpam-5613	248	33	)	)	PUNCT
ejpam-5613	248	34	×	×	NOUN
ejpam-5613	248	35	(	(	PUNCT
ejpam-5613	248	36	c	c	X
ejpam-5613	248	37	,	,	PUNCT
ejpam-5613	248	38	d	d	NOUN
ejpam-5613	248	39	)	)	PUNCT
ejpam-5613	248	40	in	in	ADP
ejpam-5613	248	41	the	the	DET
ejpam-5613	248	42	norm	norm	NOUN
ejpam-5613	248	43	topology	topology	NOUN
ejpam-5613	248	44	∥(x	∥(x	NOUN
ejpam-5613	248	45	,	,	PUNCT
ejpam-5613	248	46	y)∥x×y	y)∥x×y	NOUN
ejpam-5613	248	47	=	=	SYM
ejpam-5613	248	48	∥x∥x	∥x∥x	PUNCT
ejpam-5613	248	49	+	+	NUM
ejpam-5613	248	50	∥y∥y	∥y∥y	NOUN
ejpam-5613	248	51	of	of	ADP
ejpam-5613	248	52	e1	e1	PROPN
ejpam-5613	248	53	×	×	PROPN
ejpam-5613	248	54	e2	e2	PROPN
ejpam-5613	248	55	,	,	PUNCT
ejpam-5613	248	56	(	(	PUNCT
ejpam-5613	248	57	x	x	NOUN
ejpam-5613	248	58	,	,	PUNCT
ejpam-5613	248	59	y	y	NOUN
ejpam-5613	248	60	)	)	PUNCT
ejpam-5613	248	61	∈	∈	PROPN
ejpam-5613	248	62	e1	e1	PROPN
ejpam-5613	248	63	×	×	PROPN
ejpam-5613	248	64	e2	e2	PROPN
ejpam-5613	248	65	,	,	PUNCT
ejpam-5613	248	66	then	then	ADV
ejpam-5613	248	67	we	we	PRON
ejpam-5613	248	68	have	have	VERB
ejpam-5613	248	69	the	the	DET
ejpam-5613	248	70	following	follow	VERB
ejpam-5613	249	1	inequalities:∥∥∥∥(∫	inequalities:∥∥∥∥(∫	PROPN
ejpam-5613	249	2	b	b	PROPN
ejpam-5613	249	3	u	u	NOUN
ejpam-5613	249	4	∫	∫	PROPN
ejpam-5613	250	1	d	d	X
ejpam-5613	250	2	v	v	ADP
ejpam-5613	250	3	α	α	PROPN
ejpam-5613	250	4	(	(	PUNCT
ejpam-5613	250	5	s	s	X
ejpam-5613	250	6	,	,	PUNCT
ejpam-5613	250	7	r	r	NOUN
ejpam-5613	250	8	)	)	PUNCT
ejpam-5613	250	9	drds	drd	NOUN
ejpam-5613	250	10	)	)	PUNCT
ejpam-5613	251	1	y	y	PROPN
ejpam-5613	251	2	(	(	PUNCT
ejpam-5613	251	3	b	b	NOUN
ejpam-5613	251	4	,	,	PUNCT
ejpam-5613	251	5	d	d	NOUN
ejpam-5613	251	6	)	)	PUNCT
ejpam-5613	252	1	+	+	CCONJ
ejpam-5613	252	2	(	(	PUNCT
ejpam-5613	252	3	∫	∫	PROPN
ejpam-5613	252	4	u	u	PROPN
ejpam-5613	252	5	a	a	DET
ejpam-5613	252	6	∫	∫	PROPN
ejpam-5613	252	7	d	d	X
ejpam-5613	252	8	v	v	ADP
ejpam-5613	252	9	α	α	PROPN
ejpam-5613	252	10	(	(	PUNCT
ejpam-5613	252	11	s	s	X
ejpam-5613	252	12	,	,	PUNCT
ejpam-5613	252	13	r	r	NOUN
ejpam-5613	252	14	)	)	PUNCT
ejpam-5613	252	15	drds	drd	NOUN
ejpam-5613	252	16	)	)	PUNCT
ejpam-5613	252	17	y	y	PROPN
ejpam-5613	252	18	(	(	PUNCT
ejpam-5613	252	19	a	a	DET
ejpam-5613	252	20	,	,	PUNCT
ejpam-5613	252	21	d	d	NOUN
ejpam-5613	252	22	)	)	PUNCT
ejpam-5613	253	1	+	+	CCONJ
ejpam-5613	253	2	(	(	PUNCT
ejpam-5613	253	3	∫	∫	PROPN
ejpam-5613	253	4	b	b	SYM
ejpam-5613	253	5	u	u	PROPN
ejpam-5613	253	6	∫	∫	PROPN
ejpam-5613	253	7	v	v	X
ejpam-5613	253	8	c	c	PROPN
ejpam-5613	253	9	α	α	PROPN
ejpam-5613	253	10	(	(	PUNCT
ejpam-5613	253	11	s	s	X
ejpam-5613	253	12	,	,	PUNCT
ejpam-5613	253	13	r	r	NOUN
ejpam-5613	253	14	)	)	PUNCT
ejpam-5613	253	15	drds	drd	NOUN
ejpam-5613	253	16	)	)	PUNCT
ejpam-5613	253	17	y	y	PROPN
ejpam-5613	253	18	(	(	PUNCT
ejpam-5613	253	19	b	b	NOUN
ejpam-5613	253	20	,	,	PUNCT
ejpam-5613	253	21	c	c	NOUN
ejpam-5613	253	22	)	)	PUNCT
ejpam-5613	254	1	+	+	CCONJ
ejpam-5613	254	2	(	(	PUNCT
ejpam-5613	254	3	∫	∫	PROPN
ejpam-5613	254	4	u	u	PROPN
ejpam-5613	254	5	a	a	DET
ejpam-5613	254	6	∫	∫	PROPN
ejpam-5613	254	7	v	v	NOUN
ejpam-5613	254	8	c	c	NOUN
ejpam-5613	254	9	α	α	PROPN
ejpam-5613	254	10	(	(	PUNCT
ejpam-5613	254	11	s	s	X
ejpam-5613	254	12	,	,	PUNCT
ejpam-5613	254	13	r	r	NOUN
ejpam-5613	254	14	)	)	PUNCT
ejpam-5613	254	15	drds	drd	NOUN
ejpam-5613	254	16	)	)	PUNCT
ejpam-5613	254	17	y	y	PROPN
ejpam-5613	254	18	(	(	PUNCT
ejpam-5613	254	19	a	a	PRON
ejpam-5613	254	20	,	,	PUNCT
ejpam-5613	254	21	c	c	NOUN
ejpam-5613	254	22	)	)	PUNCT
ejpam-5613	255	1	−	−	NOUN
ejpam-5613	255	2	∫	∫	PROPN
ejpam-5613	256	1	b	b	PROPN
ejpam-5613	256	2	a	a	DET
ejpam-5613	256	3	y	y	PROPN
ejpam-5613	256	4	(	(	PUNCT
ejpam-5613	256	5	t	t	PROPN
ejpam-5613	256	6	,	,	PUNCT
ejpam-5613	256	7	d	d	NOUN
ejpam-5613	256	8	)	)	PUNCT
ejpam-5613	256	9	(	(	PUNCT
ejpam-5613	256	10	∫	∫	PROPN
ejpam-5613	256	11	d	d	X
ejpam-5613	256	12	v	v	ADP
ejpam-5613	256	13	α	α	PROPN
ejpam-5613	256	14	(	(	PUNCT
ejpam-5613	256	15	t	t	PROPN
ejpam-5613	256	16	,	,	PUNCT
ejpam-5613	256	17	r	r	NOUN
ejpam-5613	256	18	)	)	PUNCT
ejpam-5613	256	19	dr	dr	PROPN
ejpam-5613	256	20	)	)	PUNCT
ejpam-5613	256	21	dt−	dt−	PROPN
ejpam-5613	256	22	∫	∫	PROPN
ejpam-5613	257	1	b	b	PROPN
ejpam-5613	257	2	a	a	DET
ejpam-5613	257	3	y	y	PROPN
ejpam-5613	257	4	(	(	PUNCT
ejpam-5613	257	5	t	t	PROPN
ejpam-5613	257	6	,	,	PUNCT
ejpam-5613	257	7	c	c	NOUN
ejpam-5613	257	8	)	)	PUNCT
ejpam-5613	257	9	(	(	PUNCT
ejpam-5613	257	10	∫	∫	PROPN
ejpam-5613	257	11	v	v	X
ejpam-5613	257	12	c	c	PROPN
ejpam-5613	257	13	α	α	PROPN
ejpam-5613	257	14	(	(	PUNCT
ejpam-5613	257	15	t	t	PROPN
ejpam-5613	257	16	,	,	PUNCT
ejpam-5613	257	17	r	r	NOUN
ejpam-5613	257	18	)	)	PUNCT
ejpam-5613	257	19	dr	dr	PROPN
ejpam-5613	257	20	)	)	PUNCT
ejpam-5613	257	21	dt	dt	PROPN
ejpam-5613	258	1	−	−	PROPN
ejpam-5613	258	2	∫	∫	PROPN
ejpam-5613	259	1	d	d	X
ejpam-5613	259	2	c	c	PROPN
ejpam-5613	259	3	y	y	PROPN
ejpam-5613	259	4	(	(	PUNCT
ejpam-5613	259	5	b	b	PROPN
ejpam-5613	259	6	,	,	PUNCT
ejpam-5613	259	7	w	w	NOUN
ejpam-5613	259	8	)	)	PUNCT
ejpam-5613	259	9	(	(	PUNCT
ejpam-5613	259	10	∫	∫	PROPN
ejpam-5613	259	11	b	b	PROPN
ejpam-5613	259	12	u	u	PROPN
ejpam-5613	259	13	α	α	PROPN
ejpam-5613	259	14	(	(	PUNCT
ejpam-5613	259	15	s	s	PROPN
ejpam-5613	259	16	,	,	PUNCT
ejpam-5613	259	17	w	w	NOUN
ejpam-5613	259	18	)	)	PUNCT
ejpam-5613	259	19	ds	ds	ADJ
ejpam-5613	259	20	)	)	PUNCT
ejpam-5613	259	21	dw	dw	NOUN
ejpam-5613	260	1	−	−	PROPN
ejpam-5613	260	2	∫	∫	PROPN
ejpam-5613	261	1	d	d	X
ejpam-5613	261	2	c	c	PROPN
ejpam-5613	261	3	y	y	PROPN
ejpam-5613	261	4	(	(	PUNCT
ejpam-5613	261	5	a	a	DET
ejpam-5613	261	6	,	,	PUNCT
ejpam-5613	261	7	w	w	NOUN
ejpam-5613	261	8	)	)	PUNCT
ejpam-5613	261	9	(	(	PUNCT
ejpam-5613	261	10	∫	∫	PROPN
ejpam-5613	261	11	u	u	PROPN
ejpam-5613	261	12	a	a	DET
ejpam-5613	261	13	α	α	X
ejpam-5613	261	14	(	(	PUNCT
ejpam-5613	261	15	s	s	PROPN
ejpam-5613	261	16	,	,	PUNCT
ejpam-5613	261	17	w	w	NOUN
ejpam-5613	261	18	)	)	PUNCT
ejpam-5613	261	19	ds	ds	ADJ
ejpam-5613	261	20	)	)	PUNCT
ejpam-5613	261	21	dw	dw	PROPN
ejpam-5613	262	1	+	+	CCONJ
ejpam-5613	262	2	∫	∫	PROPN
ejpam-5613	262	3	b	b	PROPN
ejpam-5613	262	4	a	a	DET
ejpam-5613	262	5	∫	∫	PROPN
ejpam-5613	262	6	d	d	X
ejpam-5613	262	7	c	c	PROPN
ejpam-5613	262	8	α	α	PROPN
ejpam-5613	262	9	(	(	PUNCT
ejpam-5613	262	10	t	t	PROPN
ejpam-5613	262	11	,	,	PUNCT
ejpam-5613	262	12	w)y	w)y	X
ejpam-5613	262	13	(	(	PUNCT
ejpam-5613	262	14	t	t	PROPN
ejpam-5613	262	15	,	,	PUNCT
ejpam-5613	262	16	w	w	NOUN
ejpam-5613	262	17	)	)	PUNCT
ejpam-5613	262	18	dwdt	dwdt	NOUN
ejpam-5613	262	19	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	262	20	e1×e2	e1×e2	VERB
ejpam-5613	262	21	≤	≤	NOUN
ejpam-5613	263	1	[	[	X
ejpam-5613	263	2	∫	∫	X
ejpam-5613	263	3	b	b	X
ejpam-5613	263	4	u	u	PROPN
ejpam-5613	263	5	∫	∫	PROPN
ejpam-5613	263	6	d	d	X
ejpam-5613	263	7	v	v	PROPN
ejpam-5613	263	8	(	(	PUNCT
ejpam-5613	263	9	b−	b−	PROPN
ejpam-5613	263	10	t)(d−	t)(d−	PROPN
ejpam-5613	263	11	w)|α(t	w)|α(t	PROPN
ejpam-5613	263	12	,	,	PUNCT
ejpam-5613	263	13	w)|dwdt+	w)|dwdt+	PROPN
ejpam-5613	263	14	∫	∫	PROPN
ejpam-5613	263	15	u	u	PROPN
ejpam-5613	263	16	a	a	DET
ejpam-5613	263	17	∫	∫	PROPN
ejpam-5613	263	18	d	d	X
ejpam-5613	263	19	v	v	NOUN
ejpam-5613	263	20	(	(	PUNCT
ejpam-5613	263	21	t−	t−	PROPN
ejpam-5613	263	22	a)(d−	a)(d−	PROPN
ejpam-5613	263	23	w)|α(t	w)|α(t	PROPN
ejpam-5613	263	24	,	,	PUNCT
ejpam-5613	263	25	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	263	26	+	+	CCONJ
ejpam-5613	263	27	∫	∫	PROPN
ejpam-5613	263	28	b	b	X
ejpam-5613	263	29	u	u	PROPN
ejpam-5613	263	30	∫	∫	PROPN
ejpam-5613	263	31	v	v	X
ejpam-5613	263	32	c	c	PROPN
ejpam-5613	263	33	(	(	PUNCT
ejpam-5613	263	34	b−	b−	NOUN
ejpam-5613	263	35	t)(w	t)(w	NOUN
ejpam-5613	263	36	−	−	PROPN
ejpam-5613	263	37	c)|α(t	c)|α(t	PROPN
ejpam-5613	263	38	,	,	PUNCT
ejpam-5613	263	39	w)|dwdt+	w)|dwdt+	PROPN
ejpam-5613	263	40	∫	∫	PROPN
ejpam-5613	263	41	u	u	PROPN
ejpam-5613	263	42	a	a	DET
ejpam-5613	263	43	∫	∫	PROPN
ejpam-5613	263	44	v	v	ADP
ejpam-5613	263	45	c	c	NOUN
ejpam-5613	263	46	(	(	PUNCT
ejpam-5613	263	47	t−	t−	PROPN
ejpam-5613	263	48	a)(w	a)(w	ADJ
ejpam-5613	263	49	−	−	ADP
ejpam-5613	263	50	c)|α(t	c)|α(t	PROPN
ejpam-5613	263	51	,	,	PUNCT
ejpam-5613	263	52	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	263	53	]	]	PUNCT
ejpam-5613	263	54	o.	o.	PROPN
ejpam-5613	263	55	b.	b.	PROPN
ejpam-5613	263	56	almutairi	almutairi	PROPN
ejpam-5613	263	57	,	,	PUNCT
ejpam-5613	263	58	m.	m.	NOUN
ejpam-5613	263	59	a.	a.	PROPN
ejpam-5613	263	60	latif	latif	PROPN
ejpam-5613	263	61	/	/	SYM
ejpam-5613	263	62	eur	eur	PROPN
ejpam-5613	263	63	.	.	PUNCT
ejpam-5613	264	1	j.	j.	PROPN
ejpam-5613	264	2	pure	pure	PROPN
ejpam-5613	264	3	appl	appl	PROPN
ejpam-5613	264	4	.	.	PROPN
ejpam-5613	264	5	math	math	PROPN
ejpam-5613	264	6	,	,	PUNCT
ejpam-5613	264	7	18	18	NUM
ejpam-5613	264	8	(	(	PUNCT
ejpam-5613	264	9	1	1	NUM
ejpam-5613	264	10	)	)	PUNCT
ejpam-5613	264	11	(	(	PUNCT
ejpam-5613	264	12	2025	2025	NUM
ejpam-5613	264	13	)	)	PUNCT
ejpam-5613	264	14	,	,	PUNCT
ejpam-5613	264	15	5608	5608	NUM
ejpam-5613	264	16	12	12	NUM
ejpam-5613	264	17	of	of	ADP
ejpam-5613	264	18	33	33	NUM
ejpam-5613	264	19	×	×	NOUN
ejpam-5613	264	20	sup	sup	NOUN
ejpam-5613	264	21	(	(	PUNCT
ejpam-5613	264	22	t	t	PROPN
ejpam-5613	264	23	,	,	PUNCT
ejpam-5613	264	24	w)∈[a	w)∈[a	NOUN
ejpam-5613	264	25	,	,	PUNCT
ejpam-5613	264	26	b]×[c	b]×[c	PROPN
ejpam-5613	264	27	,	,	PUNCT
ejpam-5613	264	28	d	d	X
ejpam-5613	264	29	]	]	PUNCT
ejpam-5613	264	30	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	264	31	∂2	∂2	NUM
ejpam-5613	265	1	∂w∂t	∂w∂t	ADJ
ejpam-5613	265	2	y	y	PROPN
ejpam-5613	265	3	(	(	PUNCT
ejpam-5613	265	4	t	t	PROPN
ejpam-5613	265	5	,	,	PUNCT
ejpam-5613	265	6	w	w	PROPN
ejpam-5613	265	7	)	)	PUNCT
ejpam-5613	265	8	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	265	9	e1×e2	e1×e2	PROPN
ejpam-5613	265	10	(	(	PUNCT
ejpam-5613	265	11	2.10	2.10	NUM
ejpam-5613	265	12	)	)	PUNCT
ejpam-5613	265	13	for	for	ADP
ejpam-5613	265	14	all	all	DET
ejpam-5613	265	15	(	(	PUNCT
ejpam-5613	265	16	u	u	NOUN
ejpam-5613	265	17	,	,	PUNCT
ejpam-5613	265	18	v	v	NOUN
ejpam-5613	265	19	)	)	PUNCT
ejpam-5613	265	20	∈	∈	NOUN
ejpam-5613	266	1	[	[	X
ejpam-5613	266	2	a	a	X
ejpam-5613	266	3	,	,	PUNCT
ejpam-5613	266	4	b]×	b]×	NOUN
ejpam-5613	267	1	[	[	X
ejpam-5613	267	2	c	c	X
ejpam-5613	267	3	,	,	PUNCT
ejpam-5613	267	4	d	d	X
ejpam-5613	267	5	]	]	PUNCT
ejpam-5613	267	6	.	.	PUNCT
ejpam-5613	268	1	proof	proof	NOUN
ejpam-5613	268	2	.	.	PUNCT
ejpam-5613	269	1	using	use	VERB
ejpam-5613	269	2	inequality	inequality	NOUN
ejpam-5613	269	3	(	(	PUNCT
ejpam-5613	269	4	2.3	2.3	NUM
ejpam-5613	269	5	)	)	PUNCT
ejpam-5613	269	6	,	,	PUNCT
ejpam-5613	269	7	we	we	PRON
ejpam-5613	269	8	obtain∥∥∥∥(∫	obtain∥∥∥∥(∫	VERB
ejpam-5613	269	9	b	b	X
ejpam-5613	269	10	u	u	NOUN
ejpam-5613	269	11	∫	∫	PROPN
ejpam-5613	269	12	d	d	X
ejpam-5613	269	13	v	v	ADP
ejpam-5613	269	14	α	α	PROPN
ejpam-5613	269	15	(	(	PUNCT
ejpam-5613	269	16	s	s	X
ejpam-5613	269	17	,	,	PUNCT
ejpam-5613	269	18	r	r	NOUN
ejpam-5613	269	19	)	)	PUNCT
ejpam-5613	269	20	drds	drd	NOUN
ejpam-5613	269	21	)	)	PUNCT
ejpam-5613	270	1	y	y	PROPN
ejpam-5613	270	2	(	(	PUNCT
ejpam-5613	270	3	b	b	NOUN
ejpam-5613	270	4	,	,	PUNCT
ejpam-5613	270	5	d	d	NOUN
ejpam-5613	270	6	)	)	PUNCT
ejpam-5613	271	1	+	+	CCONJ
ejpam-5613	271	2	(	(	PUNCT
ejpam-5613	271	3	∫	∫	PROPN
ejpam-5613	271	4	u	u	PROPN
ejpam-5613	271	5	a	a	DET
ejpam-5613	271	6	∫	∫	PROPN
ejpam-5613	271	7	d	d	X
ejpam-5613	271	8	v	v	ADP
ejpam-5613	271	9	α	α	PROPN
ejpam-5613	271	10	(	(	PUNCT
ejpam-5613	271	11	s	s	X
ejpam-5613	271	12	,	,	PUNCT
ejpam-5613	271	13	r	r	NOUN
ejpam-5613	271	14	)	)	PUNCT
ejpam-5613	271	15	drds	drd	NOUN
ejpam-5613	271	16	)	)	PUNCT
ejpam-5613	271	17	y	y	PROPN
ejpam-5613	271	18	(	(	PUNCT
ejpam-5613	271	19	a	a	DET
ejpam-5613	271	20	,	,	PUNCT
ejpam-5613	271	21	d	d	NOUN
ejpam-5613	271	22	)	)	PUNCT
ejpam-5613	272	1	+	+	CCONJ
ejpam-5613	272	2	(	(	PUNCT
ejpam-5613	272	3	∫	∫	PROPN
ejpam-5613	272	4	b	b	SYM
ejpam-5613	272	5	u	u	PROPN
ejpam-5613	272	6	∫	∫	PROPN
ejpam-5613	272	7	v	v	X
ejpam-5613	272	8	c	c	PROPN
ejpam-5613	272	9	α	α	PROPN
ejpam-5613	272	10	(	(	PUNCT
ejpam-5613	272	11	s	s	X
ejpam-5613	272	12	,	,	PUNCT
ejpam-5613	272	13	r	r	NOUN
ejpam-5613	272	14	)	)	PUNCT
ejpam-5613	272	15	drds	drd	NOUN
ejpam-5613	272	16	)	)	PUNCT
ejpam-5613	272	17	y	y	PROPN
ejpam-5613	272	18	(	(	PUNCT
ejpam-5613	272	19	b	b	NOUN
ejpam-5613	272	20	,	,	PUNCT
ejpam-5613	272	21	c	c	NOUN
ejpam-5613	272	22	)	)	PUNCT
ejpam-5613	273	1	+	+	CCONJ
ejpam-5613	273	2	(	(	PUNCT
ejpam-5613	273	3	∫	∫	PROPN
ejpam-5613	273	4	u	u	PROPN
ejpam-5613	273	5	a	a	DET
ejpam-5613	273	6	∫	∫	PROPN
ejpam-5613	273	7	v	v	NOUN
ejpam-5613	273	8	c	c	NOUN
ejpam-5613	273	9	α	α	PROPN
ejpam-5613	273	10	(	(	PUNCT
ejpam-5613	273	11	s	s	X
ejpam-5613	273	12	,	,	PUNCT
ejpam-5613	273	13	r	r	NOUN
ejpam-5613	273	14	)	)	PUNCT
ejpam-5613	273	15	drds	drd	NOUN
ejpam-5613	273	16	)	)	PUNCT
ejpam-5613	273	17	y	y	PROPN
ejpam-5613	273	18	(	(	PUNCT
ejpam-5613	273	19	a	a	PRON
ejpam-5613	273	20	,	,	PUNCT
ejpam-5613	273	21	c	c	NOUN
ejpam-5613	273	22	)	)	PUNCT
ejpam-5613	274	1	−	−	NOUN
ejpam-5613	274	2	∫	∫	PROPN
ejpam-5613	275	1	b	b	PROPN
ejpam-5613	275	2	a	a	DET
ejpam-5613	275	3	y	y	PROPN
ejpam-5613	275	4	(	(	PUNCT
ejpam-5613	275	5	t	t	PROPN
ejpam-5613	275	6	,	,	PUNCT
ejpam-5613	275	7	d	d	NOUN
ejpam-5613	275	8	)	)	PUNCT
ejpam-5613	275	9	(	(	PUNCT
ejpam-5613	275	10	∫	∫	PROPN
ejpam-5613	275	11	d	d	X
ejpam-5613	275	12	v	v	ADP
ejpam-5613	275	13	α	α	PROPN
ejpam-5613	275	14	(	(	PUNCT
ejpam-5613	275	15	t	t	PROPN
ejpam-5613	275	16	,	,	PUNCT
ejpam-5613	275	17	r	r	NOUN
ejpam-5613	275	18	)	)	PUNCT
ejpam-5613	275	19	dr	dr	PROPN
ejpam-5613	275	20	)	)	PUNCT
ejpam-5613	275	21	dt−	dt−	PROPN
ejpam-5613	275	22	∫	∫	PROPN
ejpam-5613	276	1	b	b	PROPN
ejpam-5613	276	2	a	a	DET
ejpam-5613	276	3	y	y	PROPN
ejpam-5613	276	4	(	(	PUNCT
ejpam-5613	276	5	t	t	PROPN
ejpam-5613	276	6	,	,	PUNCT
ejpam-5613	276	7	c	c	NOUN
ejpam-5613	276	8	)	)	PUNCT
ejpam-5613	276	9	(	(	PUNCT
ejpam-5613	276	10	∫	∫	PROPN
ejpam-5613	276	11	v	v	X
ejpam-5613	276	12	c	c	PROPN
ejpam-5613	276	13	α	α	PROPN
ejpam-5613	276	14	(	(	PUNCT
ejpam-5613	276	15	t	t	PROPN
ejpam-5613	276	16	,	,	PUNCT
ejpam-5613	276	17	r	r	NOUN
ejpam-5613	276	18	)	)	PUNCT
ejpam-5613	276	19	dr	dr	PROPN
ejpam-5613	276	20	)	)	PUNCT
ejpam-5613	276	21	dt	dt	PROPN
ejpam-5613	277	1	−	−	PROPN
ejpam-5613	277	2	∫	∫	PROPN
ejpam-5613	278	1	d	d	X
ejpam-5613	278	2	c	c	PROPN
ejpam-5613	278	3	y	y	PROPN
ejpam-5613	278	4	(	(	PUNCT
ejpam-5613	278	5	b	b	PROPN
ejpam-5613	278	6	,	,	PUNCT
ejpam-5613	278	7	w	w	NOUN
ejpam-5613	278	8	)	)	PUNCT
ejpam-5613	278	9	(	(	PUNCT
ejpam-5613	278	10	∫	∫	PROPN
ejpam-5613	278	11	b	b	PROPN
ejpam-5613	278	12	u	u	PROPN
ejpam-5613	278	13	α	α	PROPN
ejpam-5613	278	14	(	(	PUNCT
ejpam-5613	278	15	s	s	PROPN
ejpam-5613	278	16	,	,	PUNCT
ejpam-5613	278	17	w	w	NOUN
ejpam-5613	278	18	)	)	PUNCT
ejpam-5613	278	19	ds	ds	ADJ
ejpam-5613	278	20	)	)	PUNCT
ejpam-5613	278	21	dw	dw	NOUN
ejpam-5613	279	1	−	−	PROPN
ejpam-5613	279	2	∫	∫	PROPN
ejpam-5613	280	1	d	d	X
ejpam-5613	280	2	c	c	PROPN
ejpam-5613	280	3	y	y	PROPN
ejpam-5613	280	4	(	(	PUNCT
ejpam-5613	280	5	a	a	DET
ejpam-5613	280	6	,	,	PUNCT
ejpam-5613	280	7	w	w	NOUN
ejpam-5613	280	8	)	)	PUNCT
ejpam-5613	280	9	(	(	PUNCT
ejpam-5613	280	10	∫	∫	PROPN
ejpam-5613	280	11	u	u	PROPN
ejpam-5613	280	12	a	a	DET
ejpam-5613	280	13	α	α	X
ejpam-5613	280	14	(	(	PUNCT
ejpam-5613	280	15	s	s	PROPN
ejpam-5613	280	16	,	,	PUNCT
ejpam-5613	280	17	w	w	NOUN
ejpam-5613	280	18	)	)	PUNCT
ejpam-5613	280	19	ds	ds	ADJ
ejpam-5613	280	20	)	)	PUNCT
ejpam-5613	280	21	dw	dw	PROPN
ejpam-5613	281	1	+	+	CCONJ
ejpam-5613	281	2	∫	∫	PROPN
ejpam-5613	282	1	b	b	PROPN
ejpam-5613	282	2	a	a	DET
ejpam-5613	282	3	∫	∫	PROPN
ejpam-5613	282	4	d	d	X
ejpam-5613	282	5	c	c	PROPN
ejpam-5613	282	6	α	α	PROPN
ejpam-5613	282	7	(	(	PUNCT
ejpam-5613	282	8	t	t	PROPN
ejpam-5613	282	9	,	,	PUNCT
ejpam-5613	282	10	w)y	w)y	X
ejpam-5613	282	11	(	(	PUNCT
ejpam-5613	282	12	t	t	PROPN
ejpam-5613	282	13	,	,	PUNCT
ejpam-5613	282	14	w	w	NOUN
ejpam-5613	282	15	)	)	PUNCT
ejpam-5613	282	16	dwdt	dwdt	NOUN
ejpam-5613	282	17	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	282	18	e1×e2	e1×e2	VERB
ejpam-5613	282	19	≤	≤	NUM
ejpam-5613	282	20	∫	∫	PROPN
ejpam-5613	282	21	b	b	SYM
ejpam-5613	282	22	u	u	PROPN
ejpam-5613	282	23	∫	∫	PROPN
ejpam-5613	282	24	d	d	X
ejpam-5613	282	25	v	v	PROPN
ejpam-5613	282	26	(	(	PUNCT
ejpam-5613	282	27	∫	∫	PROPN
ejpam-5613	282	28	t	t	PROPN
ejpam-5613	282	29	u	u	PROPN
ejpam-5613	282	30	∫	∫	PROPN
ejpam-5613	282	31	w	w	PROPN
ejpam-5613	282	32	v	v	PROPN
ejpam-5613	282	33	|α	|α	NOUN
ejpam-5613	282	34	(	(	PUNCT
ejpam-5613	282	35	s	s	PROPN
ejpam-5613	282	36	,	,	PUNCT
ejpam-5613	282	37	r)|	r)|	ADJ
ejpam-5613	282	38	drds	drd	NOUN
ejpam-5613	282	39	)	)	PUNCT
ejpam-5613	282	40	dwdt	dwdt	PROPN
ejpam-5613	282	41	sup	sup	PROPN
ejpam-5613	282	42	(	(	PUNCT
ejpam-5613	282	43	t	t	PROPN
ejpam-5613	282	44	,	,	PUNCT
ejpam-5613	282	45	w)∈[u	w)∈[u	NOUN
ejpam-5613	282	46	,	,	PUNCT
ejpam-5613	282	47	b]×[v	b]×[v	PROPN
ejpam-5613	282	48	,	,	PUNCT
ejpam-5613	282	49	d	d	X
ejpam-5613	282	50	]	]	PUNCT
ejpam-5613	282	51	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	282	52	∂2	∂2	NUM
ejpam-5613	282	53	∂w∂t	∂w∂t	ADJ
ejpam-5613	282	54	y	y	PROPN
ejpam-5613	282	55	(	(	PUNCT
ejpam-5613	282	56	t	t	PROPN
ejpam-5613	282	57	,	,	PUNCT
ejpam-5613	282	58	w	w	PROPN
ejpam-5613	282	59	)	)	PUNCT
ejpam-5613	282	60	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	283	1	e1×e2	e1×e2	VERB
ejpam-5613	283	2	+	+	NUM
ejpam-5613	283	3	∫	∫	PROPN
ejpam-5613	283	4	u	u	NOUN
ejpam-5613	283	5	a	a	DET
ejpam-5613	283	6	∫	∫	PROPN
ejpam-5613	283	7	d	d	X
ejpam-5613	283	8	v	v	PROPN
ejpam-5613	283	9	(	(	PUNCT
ejpam-5613	283	10	∫	∫	PROPN
ejpam-5613	283	11	u	u	NOUN
ejpam-5613	283	12	t	t	PROPN
ejpam-5613	283	13	∫	∫	PROPN
ejpam-5613	283	14	w	w	PROPN
ejpam-5613	283	15	v	v	PROPN
ejpam-5613	283	16	|α	|α	NOUN
ejpam-5613	283	17	(	(	PUNCT
ejpam-5613	283	18	s	s	PROPN
ejpam-5613	283	19	,	,	PUNCT
ejpam-5613	283	20	r)|	r)|	ADJ
ejpam-5613	283	21	drds	drd	NOUN
ejpam-5613	283	22	)	)	PUNCT
ejpam-5613	283	23	dwdt	dwdt	PROPN
ejpam-5613	283	24	sup	sup	PROPN
ejpam-5613	283	25	(	(	PUNCT
ejpam-5613	283	26	t	t	PROPN
ejpam-5613	283	27	,	,	PUNCT
ejpam-5613	283	28	w)∈[a	w)∈[a	NOUN
ejpam-5613	283	29	,	,	PUNCT
ejpam-5613	283	30	u]×[v	u]×[v	PROPN
ejpam-5613	283	31	,	,	PUNCT
ejpam-5613	283	32	d	d	X
ejpam-5613	283	33	]	]	PUNCT
ejpam-5613	283	34	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	283	35	∂2	∂2	NUM
ejpam-5613	283	36	∂w∂t	∂w∂t	ADJ
ejpam-5613	283	37	y	y	PROPN
ejpam-5613	283	38	(	(	PUNCT
ejpam-5613	283	39	t	t	PROPN
ejpam-5613	283	40	,	,	PUNCT
ejpam-5613	283	41	w	w	PROPN
ejpam-5613	283	42	)	)	PUNCT
ejpam-5613	283	43	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	284	1	e1×e2	e1×e2	VERB
ejpam-5613	284	2	+	+	PROPN
ejpam-5613	284	3	∫	∫	PROPN
ejpam-5613	284	4	b	b	SYM
ejpam-5613	284	5	u	u	PROPN
ejpam-5613	284	6	∫	∫	PROPN
ejpam-5613	284	7	v	v	PROPN
ejpam-5613	284	8	c	c	PROPN
ejpam-5613	284	9	(	(	PUNCT
ejpam-5613	284	10	∫	∫	PROPN
ejpam-5613	284	11	t	t	PROPN
ejpam-5613	284	12	u	u	X
ejpam-5613	284	13	∫	∫	PROPN
ejpam-5613	284	14	v	v	PROPN
ejpam-5613	284	15	w	w	PROPN
ejpam-5613	284	16	|α	|α	PROPN
ejpam-5613	284	17	(	(	PUNCT
ejpam-5613	284	18	s	s	PROPN
ejpam-5613	284	19	,	,	PUNCT
ejpam-5613	284	20	r)|	r)|	ADJ
ejpam-5613	284	21	drds	drd	NOUN
ejpam-5613	284	22	)	)	PUNCT
ejpam-5613	284	23	dwdt	dwdt	PROPN
ejpam-5613	284	24	sup	sup	PROPN
ejpam-5613	284	25	(	(	PUNCT
ejpam-5613	284	26	t	t	PROPN
ejpam-5613	284	27	,	,	PUNCT
ejpam-5613	284	28	w)∈[u	w)∈[u	PROPN
ejpam-5613	284	29	,	,	PUNCT
ejpam-5613	284	30	b]×[c	b]×[c	PROPN
ejpam-5613	284	31	,	,	PUNCT
ejpam-5613	284	32	v	v	NOUN
ejpam-5613	284	33	]	]	PUNCT
ejpam-5613	284	34	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	284	35	∂2	∂2	NUM
ejpam-5613	284	36	∂w∂t	∂w∂t	ADJ
ejpam-5613	284	37	y	y	PROPN
ejpam-5613	284	38	(	(	PUNCT
ejpam-5613	284	39	t	t	PROPN
ejpam-5613	284	40	,	,	PUNCT
ejpam-5613	284	41	w	w	PROPN
ejpam-5613	284	42	)	)	PUNCT
ejpam-5613	284	43	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	284	44	e1×e2	e1×e2	VERB
ejpam-5613	284	45	+	+	NUM
ejpam-5613	284	46	∫	∫	PROPN
ejpam-5613	284	47	u	u	NOUN
ejpam-5613	284	48	a	a	DET
ejpam-5613	284	49	∫	∫	PROPN
ejpam-5613	284	50	v	v	ADP
ejpam-5613	284	51	c	c	PROPN
ejpam-5613	284	52	(	(	PUNCT
ejpam-5613	284	53	∫	∫	PROPN
ejpam-5613	284	54	u	u	X
ejpam-5613	284	55	t	t	PROPN
ejpam-5613	284	56	∫	∫	PROPN
ejpam-5613	284	57	v	v	PROPN
ejpam-5613	284	58	w	w	PROPN
ejpam-5613	284	59	|α	|α	PROPN
ejpam-5613	284	60	(	(	PUNCT
ejpam-5613	284	61	s	s	PROPN
ejpam-5613	284	62	,	,	PUNCT
ejpam-5613	284	63	r)|	r)|	ADJ
ejpam-5613	284	64	drds	drd	NOUN
ejpam-5613	284	65	)	)	PUNCT
ejpam-5613	284	66	dwdt	dwdt	PROPN
ejpam-5613	284	67	sup	sup	PROPN
ejpam-5613	284	68	(	(	PUNCT
ejpam-5613	284	69	t	t	PROPN
ejpam-5613	284	70	,	,	PUNCT
ejpam-5613	284	71	w)∈[a	w)∈[a	NOUN
ejpam-5613	284	72	,	,	PUNCT
ejpam-5613	284	73	u]×[c	u]×[c	PROPN
ejpam-5613	284	74	,	,	PUNCT
ejpam-5613	284	75	v	v	NOUN
ejpam-5613	284	76	]	]	PUNCT
ejpam-5613	284	77	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	284	78	∂2	∂2	NUM
ejpam-5613	284	79	∂w∂t	∂w∂t	ADJ
ejpam-5613	284	80	y	y	PROPN
ejpam-5613	284	81	(	(	PUNCT
ejpam-5613	284	82	t	t	PROPN
ejpam-5613	284	83	,	,	PUNCT
ejpam-5613	284	84	w	w	PROPN
ejpam-5613	284	85	)	)	PUNCT
ejpam-5613	284	86	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	284	87	e1×e2	e1×e2	VERB
ejpam-5613	284	88	≤	≤	NUM
ejpam-5613	284	89	sup	sup	NOUN
ejpam-5613	284	90	(	(	PUNCT
ejpam-5613	284	91	t	t	PROPN
ejpam-5613	284	92	,	,	PUNCT
ejpam-5613	284	93	w)∈[a	w)∈[a	NOUN
ejpam-5613	284	94	,	,	PUNCT
ejpam-5613	284	95	b]×[c	b]×[c	PROPN
ejpam-5613	284	96	,	,	PUNCT
ejpam-5613	284	97	d	d	X
ejpam-5613	284	98	]	]	PUNCT
ejpam-5613	284	99	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	284	100	∂2	∂2	NUM
ejpam-5613	284	101	∂w∂t	∂w∂t	ADJ
ejpam-5613	284	102	y	y	PROPN
ejpam-5613	284	103	(	(	PUNCT
ejpam-5613	284	104	t	t	PROPN
ejpam-5613	284	105	,	,	PUNCT
ejpam-5613	284	106	w	w	PROPN
ejpam-5613	284	107	)	)	PUNCT
ejpam-5613	284	108	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	285	1	e1×e2	e1×e2	VERB
ejpam-5613	285	2	[	[	X
ejpam-5613	285	3	∫	∫	PROPN
ejpam-5613	285	4	b	b	X
ejpam-5613	285	5	u	u	NOUN
ejpam-5613	285	6	∫	∫	PROPN
ejpam-5613	285	7	d	d	X
ejpam-5613	285	8	v	v	PROPN
ejpam-5613	285	9	(	(	PUNCT
ejpam-5613	285	10	∫	∫	PROPN
ejpam-5613	285	11	t	t	PROPN
ejpam-5613	285	12	u	u	PROPN
ejpam-5613	285	13	∫	∫	PROPN
ejpam-5613	285	14	w	w	PROPN
ejpam-5613	285	15	v	v	ADP
ejpam-5613	285	16	|α(s	|α(s	PROPN
ejpam-5613	285	17	,	,	PUNCT
ejpam-5613	285	18	r)|drds	r)|drd	NOUN
ejpam-5613	285	19	)	)	PUNCT
ejpam-5613	285	20	dwdt	dwdt	NOUN
ejpam-5613	285	21	+	+	CCONJ
ejpam-5613	285	22	∫	∫	PROPN
ejpam-5613	285	23	u	u	PROPN
ejpam-5613	285	24	a	a	DET
ejpam-5613	285	25	∫	∫	PROPN
ejpam-5613	285	26	d	d	X
ejpam-5613	285	27	v	v	PROPN
ejpam-5613	285	28	(	(	PUNCT
ejpam-5613	285	29	∫	∫	PROPN
ejpam-5613	285	30	u	u	NOUN
ejpam-5613	286	1	t	t	PROPN
ejpam-5613	286	2	∫	∫	PROPN
ejpam-5613	286	3	w	w	PROPN
ejpam-5613	286	4	v	v	ADP
ejpam-5613	286	5	|α(s	|α(s	PROPN
ejpam-5613	286	6	,	,	PUNCT
ejpam-5613	286	7	r)|drds	r)|drd	NOUN
ejpam-5613	286	8	)	)	PUNCT
ejpam-5613	287	1	dwdt+	dwdt+	NOUN
ejpam-5613	288	1	∫	∫	PROPN
ejpam-5613	288	2	b	b	X
ejpam-5613	288	3	u	u	PROPN
ejpam-5613	288	4	∫	∫	PROPN
ejpam-5613	288	5	v	v	PROPN
ejpam-5613	288	6	c	c	PROPN
ejpam-5613	288	7	(	(	PUNCT
ejpam-5613	288	8	∫	∫	PROPN
ejpam-5613	288	9	t	t	PROPN
ejpam-5613	288	10	u	u	X
ejpam-5613	288	11	∫	∫	PROPN
ejpam-5613	288	12	v	v	PROPN
ejpam-5613	288	13	w	w	PROPN
ejpam-5613	288	14	|α(s	|α(s	PROPN
ejpam-5613	288	15	,	,	PUNCT
ejpam-5613	288	16	r)|drds	r)|drd	NOUN
ejpam-5613	288	17	)	)	PUNCT
ejpam-5613	288	18	dwdt	dwdt	NOUN
ejpam-5613	288	19	+	+	CCONJ
ejpam-5613	288	20	∫	∫	PROPN
ejpam-5613	288	21	u	u	PROPN
ejpam-5613	288	22	a	a	DET
ejpam-5613	288	23	∫	∫	PROPN
ejpam-5613	288	24	v	v	ADP
ejpam-5613	288	25	c	c	PROPN
ejpam-5613	288	26	(	(	PUNCT
ejpam-5613	288	27	∫	∫	PROPN
ejpam-5613	288	28	u	u	X
ejpam-5613	288	29	t	t	PROPN
ejpam-5613	288	30	∫	∫	PROPN
ejpam-5613	288	31	v	v	PROPN
ejpam-5613	288	32	w	w	PROPN
ejpam-5613	288	33	|α(s	|α(s	PROPN
ejpam-5613	288	34	,	,	PUNCT
ejpam-5613	288	35	r)|drds	r)|drd	NOUN
ejpam-5613	288	36	)	)	PUNCT
ejpam-5613	288	37	dwdt	dwdt	NOUN
ejpam-5613	288	38	]	]	PUNCT
ejpam-5613	288	39	.	.	PUNCT
ejpam-5613	289	1	(	(	PUNCT
ejpam-5613	289	2	2.11	2.11	NUM
ejpam-5613	289	3	)	)	PUNCT
ejpam-5613	289	4	using	use	VERB
ejpam-5613	289	5	integration	integration	NOUN
ejpam-5613	289	6	by	by	ADP
ejpam-5613	289	7	parts	part	NOUN
ejpam-5613	289	8	,	,	PUNCT
ejpam-5613	289	9	we	we	PRON
ejpam-5613	289	10	have	have	VERB
ejpam-5613	289	11	for	for	ADP
ejpam-5613	289	12	u	u	NOUN
ejpam-5613	289	13	,	,	PUNCT
ejpam-5613	289	14	w	w	PROPN
ejpam-5613	289	15	∈	∈	PROPN
ejpam-5613	290	1	[	[	X
ejpam-5613	290	2	a	a	X
ejpam-5613	290	3	,	,	PUNCT
ejpam-5613	290	4	b]×	b]×	NOUN
ejpam-5613	290	5	[	[	X
ejpam-5613	290	6	c	c	X
ejpam-5613	290	7	,	,	PUNCT
ejpam-5613	290	8	d	d	X
ejpam-5613	290	9	]	]	X
ejpam-5613	290	10	that∫	that∫	NOUN
ejpam-5613	291	1	b	b	SYM
ejpam-5613	291	2	u	u	NOUN
ejpam-5613	291	3	∫	∫	PROPN
ejpam-5613	291	4	d	d	X
ejpam-5613	291	5	v	v	PROPN
ejpam-5613	291	6	(	(	PUNCT
ejpam-5613	291	7	∫	∫	PROPN
ejpam-5613	291	8	t	t	PROPN
ejpam-5613	291	9	u	u	PROPN
ejpam-5613	291	10	∫	∫	PROPN
ejpam-5613	291	11	w	w	PROPN
ejpam-5613	291	12	v	v	ADP
ejpam-5613	291	13	|α(s	|α(s	PROPN
ejpam-5613	291	14	,	,	PUNCT
ejpam-5613	291	15	r)|drds	r)|drd	NOUN
ejpam-5613	291	16	)	)	PUNCT
ejpam-5613	291	17	dwdt	dwdt	NOUN
ejpam-5613	291	18	=	=	SYM
ejpam-5613	291	19	∫	∫	PROPN
ejpam-5613	291	20	b	b	SYM
ejpam-5613	291	21	u	u	PROPN
ejpam-5613	292	1	[	[	X
ejpam-5613	292	2	∫	∫	X
ejpam-5613	292	3	d	d	X
ejpam-5613	292	4	v	v	PROPN
ejpam-5613	292	5	(	(	PUNCT
ejpam-5613	292	6	∫	∫	PROPN
ejpam-5613	292	7	t	t	PROPN
ejpam-5613	292	8	u	u	PROPN
ejpam-5613	292	9	∫	∫	PROPN
ejpam-5613	292	10	w	w	PROPN
ejpam-5613	292	11	v	v	ADP
ejpam-5613	292	12	|α(s	|α(s	PROPN
ejpam-5613	292	13	,	,	PUNCT
ejpam-5613	292	14	r)|drds	r)|drd	NOUN
ejpam-5613	292	15	)	)	PUNCT
ejpam-5613	292	16	dw	dw	NOUN
ejpam-5613	292	17	]	]	PUNCT
ejpam-5613	292	18	dt	dt	PROPN
ejpam-5613	293	1	=	=	PUNCT
ejpam-5613	293	2	∫	∫	PROPN
ejpam-5613	293	3	b	b	SYM
ejpam-5613	293	4	u	u	PROPN
ejpam-5613	293	5	d	d	PROPN
ejpam-5613	293	6	(	(	PUNCT
ejpam-5613	293	7	∫	∫	PROPN
ejpam-5613	293	8	t	t	PROPN
ejpam-5613	293	9	u	u	NOUN
ejpam-5613	293	10	∫	∫	PROPN
ejpam-5613	293	11	d	d	X
ejpam-5613	293	12	v	v	ADP
ejpam-5613	293	13	|α(s	|α(s	PROPN
ejpam-5613	293	14	,	,	PUNCT
ejpam-5613	293	15	r)|drds	r)|drd	NOUN
ejpam-5613	293	16	)	)	PUNCT
ejpam-5613	293	17	−	−	ADP
ejpam-5613	294	1	∫	∫	PROPN
ejpam-5613	294	2	b	b	PROPN
ejpam-5613	294	3	u	u	PROPN
ejpam-5613	294	4	(	(	PUNCT
ejpam-5613	294	5	∫	∫	PROPN
ejpam-5613	294	6	d	d	X
ejpam-5613	294	7	v	v	PROPN
ejpam-5613	294	8	w	w	PROPN
ejpam-5613	294	9	(	(	PUNCT
ejpam-5613	294	10	∫	∫	PROPN
ejpam-5613	294	11	t	t	PROPN
ejpam-5613	294	12	u	u	PROPN
ejpam-5613	294	13	|α(s	|α(s	PROPN
ejpam-5613	294	14	,	,	PUNCT
ejpam-5613	294	15	w)|ds	w)|ds	PROPN
ejpam-5613	294	16	)	)	PUNCT
ejpam-5613	294	17	dw	dw	PROPN
ejpam-5613	294	18	)	)	PUNCT
ejpam-5613	294	19	dt	dt	PROPN
ejpam-5613	294	20	o.	o.	PROPN
ejpam-5613	294	21	b.	b.	PROPN
ejpam-5613	294	22	almutairi	almutairi	PROPN
ejpam-5613	294	23	,	,	PUNCT
ejpam-5613	294	24	m.	m.	NOUN
ejpam-5613	294	25	a.	a.	PROPN
ejpam-5613	294	26	latif	latif	PROPN
ejpam-5613	294	27	/	/	SYM
ejpam-5613	294	28	eur	eur	PROPN
ejpam-5613	294	29	.	.	PUNCT
ejpam-5613	295	1	j.	j.	PROPN
ejpam-5613	295	2	pure	pure	PROPN
ejpam-5613	295	3	appl	appl	PROPN
ejpam-5613	295	4	.	.	PROPN
ejpam-5613	295	5	math	math	PROPN
ejpam-5613	295	6	,	,	PUNCT
ejpam-5613	295	7	18	18	NUM
ejpam-5613	295	8	(	(	PUNCT
ejpam-5613	295	9	1	1	NUM
ejpam-5613	295	10	)	)	PUNCT
ejpam-5613	295	11	(	(	PUNCT
ejpam-5613	295	12	2025	2025	NUM
ejpam-5613	295	13	)	)	PUNCT
ejpam-5613	295	14	,	,	PUNCT
ejpam-5613	295	15	5608	5608	NUM
ejpam-5613	295	16	13	13	NUM
ejpam-5613	295	17	of	of	ADP
ejpam-5613	295	18	33	33	NUM
ejpam-5613	295	19	=	=	SYM
ejpam-5613	296	1	bd	bd	PROPN
ejpam-5613	296	2	∫	∫	PROPN
ejpam-5613	296	3	b	b	PROPN
ejpam-5613	296	4	u	u	PROPN
ejpam-5613	296	5	∫	∫	PROPN
ejpam-5613	296	6	d	d	X
ejpam-5613	296	7	v	v	ADP
ejpam-5613	296	8	|α(s	|α(s	PROPN
ejpam-5613	296	9	,	,	PUNCT
ejpam-5613	296	10	r)|drds−	r)|drds−	VERB
ejpam-5613	296	11	d	d	X
ejpam-5613	296	12	∫	∫	PROPN
ejpam-5613	296	13	b	b	PROPN
ejpam-5613	296	14	u	u	PROPN
ejpam-5613	296	15	∫	∫	PROPN
ejpam-5613	296	16	d	d	X
ejpam-5613	296	17	v	v	ADP
ejpam-5613	296	18	t|α(t	t|α(t	NOUN
ejpam-5613	296	19	,	,	PUNCT
ejpam-5613	296	20	r)|drdt	r)|drdt	NOUN
ejpam-5613	296	21	−	−	PROPN
ejpam-5613	296	22	b	b	NOUN
ejpam-5613	296	23	∫	∫	PROPN
ejpam-5613	297	1	d	d	X
ejpam-5613	297	2	v	v	PROPN
ejpam-5613	297	3	w	w	PROPN
ejpam-5613	297	4	∫	∫	PROPN
ejpam-5613	297	5	b	b	PROPN
ejpam-5613	297	6	u	u	PROPN
ejpam-5613	297	7	|α(s	|α(s	PROPN
ejpam-5613	297	8	,	,	PUNCT
ejpam-5613	297	9	w)|dsdw	w)|dsdw	NOUN
ejpam-5613	297	10	+	+	CCONJ
ejpam-5613	297	11	∫	∫	PROPN
ejpam-5613	297	12	b	b	X
ejpam-5613	297	13	u	u	PROPN
ejpam-5613	297	14	∫	∫	PROPN
ejpam-5613	298	1	d	d	X
ejpam-5613	298	2	v	v	PROPN
ejpam-5613	298	3	tw|α(t	tw|α(t	NOUN
ejpam-5613	298	4	,	,	PUNCT
ejpam-5613	298	5	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	298	6	=	=	PUNCT
ejpam-5613	299	1	bd	bd	PROPN
ejpam-5613	299	2	∫	∫	PROPN
ejpam-5613	300	1	b	b	PROPN
ejpam-5613	300	2	u	u	PROPN
ejpam-5613	300	3	∫	∫	PROPN
ejpam-5613	300	4	d	d	X
ejpam-5613	300	5	v	v	ADP
ejpam-5613	300	6	|α(t	|α(t	PROPN
ejpam-5613	300	7	,	,	PUNCT
ejpam-5613	300	8	w)|dwdt−	w)|dwdt−	NOUN
ejpam-5613	300	9	d	d	NOUN
ejpam-5613	300	10	∫	∫	PROPN
ejpam-5613	300	11	b	b	PROPN
ejpam-5613	300	12	u	u	PROPN
ejpam-5613	300	13	∫	∫	PROPN
ejpam-5613	300	14	d	d	X
ejpam-5613	300	15	v	v	ADP
ejpam-5613	300	16	t|α(t	t|α(t	NOUN
ejpam-5613	300	17	,	,	PUNCT
ejpam-5613	300	18	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	300	19	−	−	PROPN
ejpam-5613	300	20	b	b	PROPN
ejpam-5613	300	21	∫	∫	PROPN
ejpam-5613	300	22	b	b	PROPN
ejpam-5613	300	23	u	u	PROPN
ejpam-5613	300	24	∫	∫	PROPN
ejpam-5613	300	25	d	d	X
ejpam-5613	300	26	v	v	X
ejpam-5613	300	27	w|α(t	w|α(t	PROPN
ejpam-5613	300	28	,	,	PUNCT
ejpam-5613	300	29	w)|dwdt+	w)|dwdt+	PROPN
ejpam-5613	300	30	∫	∫	PROPN
ejpam-5613	300	31	b	b	PROPN
ejpam-5613	300	32	u	u	PROPN
ejpam-5613	300	33	∫	∫	PROPN
ejpam-5613	300	34	d	d	X
ejpam-5613	300	35	v	v	PROPN
ejpam-5613	300	36	tw|α(t	tw|α(t	NOUN
ejpam-5613	300	37	,	,	PUNCT
ejpam-5613	300	38	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	300	39	=	=	SYM
ejpam-5613	300	40	∫	∫	PROPN
ejpam-5613	300	41	b	b	SYM
ejpam-5613	300	42	u	u	PROPN
ejpam-5613	300	43	∫	∫	PROPN
ejpam-5613	300	44	d	d	X
ejpam-5613	300	45	v	v	PROPN
ejpam-5613	300	46	(	(	PUNCT
ejpam-5613	300	47	b−	b−	PROPN
ejpam-5613	300	48	t)(d−	t)(d−	PROPN
ejpam-5613	300	49	w)|α(t	w)|α(t	PROPN
ejpam-5613	300	50	,	,	PUNCT
ejpam-5613	300	51	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	300	52	.	.	PUNCT
ejpam-5613	301	1	similarly	similarly	ADV
ejpam-5613	301	2	,	,	PUNCT
ejpam-5613	301	3	we	we	PRON
ejpam-5613	301	4	can	can	AUX
ejpam-5613	301	5	obtain	obtain	VERB
ejpam-5613	301	6	the	the	DET
ejpam-5613	301	7	following	follow	VERB
ejpam-5613	301	8	equalities:∫	equalities:∫	NOUN
ejpam-5613	301	9	u	u	PROPN
ejpam-5613	301	10	a	a	DET
ejpam-5613	301	11	∫	∫	PROPN
ejpam-5613	301	12	d	d	X
ejpam-5613	301	13	v	v	PROPN
ejpam-5613	301	14	(	(	PUNCT
ejpam-5613	301	15	∫	∫	PROPN
ejpam-5613	301	16	u	u	NOUN
ejpam-5613	301	17	t	t	PROPN
ejpam-5613	301	18	∫	∫	PROPN
ejpam-5613	301	19	w	w	PROPN
ejpam-5613	301	20	v	v	ADP
ejpam-5613	301	21	|α(s	|α(s	PROPN
ejpam-5613	301	22	,	,	PUNCT
ejpam-5613	301	23	r)|drds	r)|drd	NOUN
ejpam-5613	301	24	)	)	PUNCT
ejpam-5613	301	25	dwdt	dwdt	NOUN
ejpam-5613	302	1	=	=	SYM
ejpam-5613	302	2	∫	∫	PROPN
ejpam-5613	302	3	u	u	PROPN
ejpam-5613	302	4	a	a	DET
ejpam-5613	302	5	∫	∫	PROPN
ejpam-5613	302	6	d	d	X
ejpam-5613	302	7	v	v	NOUN
ejpam-5613	302	8	(	(	PUNCT
ejpam-5613	302	9	t−	t−	PROPN
ejpam-5613	302	10	a)(d−	a)(d−	PROPN
ejpam-5613	302	11	w)|α(t	w)|α(t	PROPN
ejpam-5613	302	12	,	,	PUNCT
ejpam-5613	302	13	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	302	14	,	,	PUNCT
ejpam-5613	302	15	∫	∫	PROPN
ejpam-5613	302	16	b	b	PROPN
ejpam-5613	302	17	u	u	PROPN
ejpam-5613	302	18	∫	∫	PROPN
ejpam-5613	302	19	v	v	PROPN
ejpam-5613	302	20	c	c	PROPN
ejpam-5613	302	21	(	(	PUNCT
ejpam-5613	302	22	∫	∫	PROPN
ejpam-5613	302	23	t	t	PROPN
ejpam-5613	302	24	u	u	X
ejpam-5613	302	25	∫	∫	PROPN
ejpam-5613	302	26	v	v	PROPN
ejpam-5613	302	27	w	w	PROPN
ejpam-5613	302	28	|α(s	|α(s	PROPN
ejpam-5613	302	29	,	,	PUNCT
ejpam-5613	302	30	r)|drds	r)|drd	NOUN
ejpam-5613	302	31	)	)	PUNCT
ejpam-5613	302	32	dwdt	dwdt	NOUN
ejpam-5613	303	1	=	=	SYM
ejpam-5613	303	2	∫	∫	PROPN
ejpam-5613	303	3	b	b	SYM
ejpam-5613	303	4	u	u	PROPN
ejpam-5613	303	5	∫	∫	PROPN
ejpam-5613	303	6	v	v	X
ejpam-5613	303	7	c	c	PROPN
ejpam-5613	303	8	(	(	PUNCT
ejpam-5613	303	9	b−	b−	NOUN
ejpam-5613	303	10	t)(w	t)(w	NOUN
ejpam-5613	303	11	−	−	PROPN
ejpam-5613	303	12	c)|α(t	c)|α(t	PROPN
ejpam-5613	303	13	,	,	PUNCT
ejpam-5613	303	14	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	303	15	and	and	CCONJ
ejpam-5613	303	16	∫	∫	PROPN
ejpam-5613	303	17	u	u	PROPN
ejpam-5613	303	18	a	a	DET
ejpam-5613	303	19	∫	∫	PROPN
ejpam-5613	303	20	v	v	ADP
ejpam-5613	303	21	c	c	PROPN
ejpam-5613	303	22	(	(	PUNCT
ejpam-5613	303	23	∫	∫	PROPN
ejpam-5613	303	24	u	u	X
ejpam-5613	303	25	t	t	PROPN
ejpam-5613	303	26	∫	∫	PROPN
ejpam-5613	303	27	v	v	PROPN
ejpam-5613	303	28	w	w	PROPN
ejpam-5613	303	29	|α(s	|α(s	PROPN
ejpam-5613	303	30	,	,	PUNCT
ejpam-5613	303	31	r)|drds	r)|drd	NOUN
ejpam-5613	303	32	)	)	PUNCT
ejpam-5613	303	33	dwdt	dwdt	NOUN
ejpam-5613	303	34	=	=	SYM
ejpam-5613	303	35	∫	∫	PROPN
ejpam-5613	303	36	u	u	PROPN
ejpam-5613	303	37	a	a	DET
ejpam-5613	303	38	∫	∫	PROPN
ejpam-5613	303	39	v	v	ADP
ejpam-5613	303	40	c	c	NOUN
ejpam-5613	303	41	(	(	PUNCT
ejpam-5613	303	42	t−	t−	PROPN
ejpam-5613	303	43	a)(w	a)(w	ADJ
ejpam-5613	303	44	−	−	ADP
ejpam-5613	303	45	c)|α(t	c)|α(t	PROPN
ejpam-5613	303	46	,	,	PUNCT
ejpam-5613	303	47	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	303	48	.	.	PUNCT
ejpam-5613	304	1	substituting	substitute	VERB
ejpam-5613	304	2	the	the	DET
ejpam-5613	304	3	above	above	ADJ
ejpam-5613	304	4	results	result	NOUN
ejpam-5613	304	5	into	into	ADP
ejpam-5613	304	6	(	(	PUNCT
ejpam-5613	304	7	2.11	2.11	NUM
ejpam-5613	304	8	)	)	PUNCT
ejpam-5613	304	9	completes	complete	VERB
ejpam-5613	304	10	the	the	DET
ejpam-5613	304	11	proof	proof	NOUN
ejpam-5613	304	12	.	.	PUNCT
ejpam-5613	305	1	proposition	proposition	NOUN
ejpam-5613	305	2	2	2	NUM
ejpam-5613	305	3	.	.	PUNCT
ejpam-5613	305	4	suppose	suppose	VERB
ejpam-5613	305	5	that	that	SCONJ
ejpam-5613	305	6	α	α	PRON
ejpam-5613	305	7	:	:	PUNCT
ejpam-5613	305	8	[	[	X
ejpam-5613	305	9	a	a	X
ejpam-5613	305	10	,	,	PUNCT
ejpam-5613	305	11	b]×	b]×	NOUN
ejpam-5613	306	1	[	[	X
ejpam-5613	306	2	c	c	X
ejpam-5613	306	3	,	,	PUNCT
ejpam-5613	306	4	d	d	X
ejpam-5613	306	5	]	]	X
ejpam-5613	306	6	→	→	SYM
ejpam-5613	306	7	c	c	PROPN
ejpam-5613	306	8	and	and	CCONJ
ejpam-5613	306	9	y	y	NOUN
ejpam-5613	306	10	:	:	PUNCT
ejpam-5613	307	1	[	[	X
ejpam-5613	307	2	a	a	X
ejpam-5613	307	3	,	,	PUNCT
ejpam-5613	307	4	b]×	b]×	NOUN
ejpam-5613	307	5	[	[	X
ejpam-5613	307	6	c	c	X
ejpam-5613	307	7	,	,	PUNCT
ejpam-5613	307	8	d	d	X
ejpam-5613	307	9	]	]	X
ejpam-5613	307	10	→	→	PUNCT
ejpam-5613	307	11	e1	e1	NOUN
ejpam-5613	307	12	×e2	×e2	NOUN
ejpam-5613	307	13	are	be	AUX
ejpam-5613	307	14	as	as	ADV
ejpam-5613	307	15	defined	define	VERB
ejpam-5613	307	16	in	in	ADP
ejpam-5613	307	17	theorem	theorem	NOUN
ejpam-5613	307	18	4	4	NUM
ejpam-5613	307	19	and	and	CCONJ
ejpam-5613	307	20	all	all	DET
ejpam-5613	307	21	the	the	DET
ejpam-5613	307	22	assumptions	assumption	NOUN
ejpam-5613	307	23	of	of	ADP
ejpam-5613	307	24	are	be	AUX
ejpam-5613	307	25	satisified	satisifie	VERB
ejpam-5613	307	26	theorem	theorem	ADJ
ejpam-5613	307	27	4	4	NUM
ejpam-5613	307	28	,	,	PUNCT
ejpam-5613	307	29	then	then	ADV
ejpam-5613	307	30	we	we	PRON
ejpam-5613	307	31	have	have	VERB
ejpam-5613	307	32	the	the	DET
ejpam-5613	307	33	following	follow	VERB
ejpam-5613	307	34	inequalities	inequality	NOUN
ejpam-5613	307	35	hold	hold	VERB
ejpam-5613	307	36	for	for	ADP
ejpam-5613	307	37	all	all	DET
ejpam-5613	307	38	(	(	PUNCT
ejpam-5613	307	39	u	u	NOUN
ejpam-5613	307	40	,	,	PUNCT
ejpam-5613	307	41	v	v	NOUN
ejpam-5613	307	42	)	)	PUNCT
ejpam-5613	307	43	∈	∈	NOUN
ejpam-5613	308	1	[	[	X
ejpam-5613	308	2	a	a	X
ejpam-5613	308	3	,	,	PUNCT
ejpam-5613	308	4	b]×	b]×	NOUN
ejpam-5613	308	5	[	[	X
ejpam-5613	308	6	c	c	X
ejpam-5613	308	7	,	,	PUNCT
ejpam-5613	308	8	d]:∥∥∥∥(∫	d]:∥∥∥∥(∫	PROPN
ejpam-5613	308	9	b	b	NUM
ejpam-5613	308	10	u	u	NOUN
ejpam-5613	308	11	∫	∫	PROPN
ejpam-5613	309	1	d	d	X
ejpam-5613	309	2	v	v	ADP
ejpam-5613	309	3	α	α	PROPN
ejpam-5613	309	4	(	(	PUNCT
ejpam-5613	309	5	s	s	X
ejpam-5613	309	6	,	,	PUNCT
ejpam-5613	309	7	r	r	NOUN
ejpam-5613	309	8	)	)	PUNCT
ejpam-5613	309	9	drds	drd	NOUN
ejpam-5613	309	10	)	)	PUNCT
ejpam-5613	310	1	y	y	PROPN
ejpam-5613	310	2	(	(	PUNCT
ejpam-5613	310	3	b	b	NOUN
ejpam-5613	310	4	,	,	PUNCT
ejpam-5613	310	5	d	d	NOUN
ejpam-5613	310	6	)	)	PUNCT
ejpam-5613	311	1	+	+	CCONJ
ejpam-5613	311	2	(	(	PUNCT
ejpam-5613	311	3	∫	∫	PROPN
ejpam-5613	311	4	u	u	PROPN
ejpam-5613	311	5	a	a	DET
ejpam-5613	311	6	∫	∫	PROPN
ejpam-5613	311	7	d	d	X
ejpam-5613	311	8	v	v	ADP
ejpam-5613	311	9	α	α	PROPN
ejpam-5613	311	10	(	(	PUNCT
ejpam-5613	311	11	s	s	X
ejpam-5613	311	12	,	,	PUNCT
ejpam-5613	311	13	r	r	NOUN
ejpam-5613	311	14	)	)	PUNCT
ejpam-5613	311	15	drds	drd	NOUN
ejpam-5613	311	16	)	)	PUNCT
ejpam-5613	311	17	y	y	PROPN
ejpam-5613	311	18	(	(	PUNCT
ejpam-5613	311	19	a	a	DET
ejpam-5613	311	20	,	,	PUNCT
ejpam-5613	311	21	d	d	NOUN
ejpam-5613	311	22	)	)	PUNCT
ejpam-5613	312	1	+	+	CCONJ
ejpam-5613	312	2	(	(	PUNCT
ejpam-5613	312	3	∫	∫	PROPN
ejpam-5613	312	4	b	b	SYM
ejpam-5613	312	5	u	u	PROPN
ejpam-5613	312	6	∫	∫	PROPN
ejpam-5613	312	7	v	v	X
ejpam-5613	312	8	c	c	PROPN
ejpam-5613	312	9	α	α	PROPN
ejpam-5613	312	10	(	(	PUNCT
ejpam-5613	312	11	s	s	X
ejpam-5613	312	12	,	,	PUNCT
ejpam-5613	312	13	r	r	NOUN
ejpam-5613	312	14	)	)	PUNCT
ejpam-5613	312	15	drds	drd	NOUN
ejpam-5613	312	16	)	)	PUNCT
ejpam-5613	312	17	y	y	PROPN
ejpam-5613	312	18	(	(	PUNCT
ejpam-5613	312	19	b	b	NOUN
ejpam-5613	312	20	,	,	PUNCT
ejpam-5613	312	21	c	c	NOUN
ejpam-5613	312	22	)	)	PUNCT
ejpam-5613	313	1	+	+	CCONJ
ejpam-5613	313	2	(	(	PUNCT
ejpam-5613	313	3	∫	∫	PROPN
ejpam-5613	313	4	u	u	PROPN
ejpam-5613	313	5	a	a	DET
ejpam-5613	313	6	∫	∫	PROPN
ejpam-5613	313	7	v	v	NOUN
ejpam-5613	313	8	c	c	NOUN
ejpam-5613	313	9	α	α	PROPN
ejpam-5613	313	10	(	(	PUNCT
ejpam-5613	313	11	s	s	X
ejpam-5613	313	12	,	,	PUNCT
ejpam-5613	313	13	r	r	NOUN
ejpam-5613	313	14	)	)	PUNCT
ejpam-5613	313	15	drds	drd	NOUN
ejpam-5613	313	16	)	)	PUNCT
ejpam-5613	313	17	y	y	PROPN
ejpam-5613	313	18	(	(	PUNCT
ejpam-5613	313	19	a	a	PRON
ejpam-5613	313	20	,	,	PUNCT
ejpam-5613	313	21	c	c	NOUN
ejpam-5613	313	22	)	)	PUNCT
ejpam-5613	314	1	−	−	NOUN
ejpam-5613	314	2	∫	∫	PROPN
ejpam-5613	315	1	b	b	PROPN
ejpam-5613	315	2	a	a	DET
ejpam-5613	315	3	y	y	PROPN
ejpam-5613	315	4	(	(	PUNCT
ejpam-5613	315	5	t	t	PROPN
ejpam-5613	315	6	,	,	PUNCT
ejpam-5613	315	7	d	d	NOUN
ejpam-5613	315	8	)	)	PUNCT
ejpam-5613	315	9	(	(	PUNCT
ejpam-5613	315	10	∫	∫	PROPN
ejpam-5613	315	11	d	d	X
ejpam-5613	315	12	v	v	ADP
ejpam-5613	315	13	α	α	PROPN
ejpam-5613	315	14	(	(	PUNCT
ejpam-5613	315	15	t	t	PROPN
ejpam-5613	315	16	,	,	PUNCT
ejpam-5613	315	17	r	r	NOUN
ejpam-5613	315	18	)	)	PUNCT
ejpam-5613	315	19	dr	dr	PROPN
ejpam-5613	315	20	)	)	PUNCT
ejpam-5613	315	21	dt−	dt−	PROPN
ejpam-5613	315	22	∫	∫	PROPN
ejpam-5613	316	1	b	b	PROPN
ejpam-5613	316	2	a	a	DET
ejpam-5613	316	3	y	y	PROPN
ejpam-5613	316	4	(	(	PUNCT
ejpam-5613	316	5	t	t	PROPN
ejpam-5613	316	6	,	,	PUNCT
ejpam-5613	316	7	c	c	NOUN
ejpam-5613	316	8	)	)	PUNCT
ejpam-5613	316	9	(	(	PUNCT
ejpam-5613	316	10	∫	∫	PROPN
ejpam-5613	316	11	v	v	X
ejpam-5613	316	12	c	c	PROPN
ejpam-5613	316	13	α	α	PROPN
ejpam-5613	316	14	(	(	PUNCT
ejpam-5613	316	15	t	t	PROPN
ejpam-5613	316	16	,	,	PUNCT
ejpam-5613	316	17	r	r	NOUN
ejpam-5613	316	18	)	)	PUNCT
ejpam-5613	316	19	dr	dr	PROPN
ejpam-5613	316	20	)	)	PUNCT
ejpam-5613	316	21	dt	dt	PROPN
ejpam-5613	317	1	−	−	PROPN
ejpam-5613	317	2	∫	∫	PROPN
ejpam-5613	318	1	d	d	X
ejpam-5613	318	2	c	c	PROPN
ejpam-5613	318	3	y	y	PROPN
ejpam-5613	318	4	(	(	PUNCT
ejpam-5613	318	5	b	b	PROPN
ejpam-5613	318	6	,	,	PUNCT
ejpam-5613	318	7	w	w	NOUN
ejpam-5613	318	8	)	)	PUNCT
ejpam-5613	318	9	(	(	PUNCT
ejpam-5613	318	10	∫	∫	PROPN
ejpam-5613	318	11	b	b	PROPN
ejpam-5613	318	12	u	u	PROPN
ejpam-5613	318	13	α	α	PROPN
ejpam-5613	318	14	(	(	PUNCT
ejpam-5613	318	15	s	s	PROPN
ejpam-5613	318	16	,	,	PUNCT
ejpam-5613	318	17	w	w	NOUN
ejpam-5613	318	18	)	)	PUNCT
ejpam-5613	318	19	ds	ds	ADJ
ejpam-5613	318	20	)	)	PUNCT
ejpam-5613	318	21	dw	dw	NOUN
ejpam-5613	319	1	−	−	PROPN
ejpam-5613	319	2	∫	∫	PROPN
ejpam-5613	320	1	d	d	X
ejpam-5613	320	2	c	c	PROPN
ejpam-5613	320	3	y	y	PROPN
ejpam-5613	320	4	(	(	PUNCT
ejpam-5613	320	5	a	a	DET
ejpam-5613	320	6	,	,	PUNCT
ejpam-5613	320	7	w	w	NOUN
ejpam-5613	320	8	)	)	PUNCT
ejpam-5613	320	9	(	(	PUNCT
ejpam-5613	320	10	∫	∫	PROPN
ejpam-5613	320	11	u	u	PROPN
ejpam-5613	320	12	a	a	DET
ejpam-5613	320	13	α	α	X
ejpam-5613	320	14	(	(	PUNCT
ejpam-5613	320	15	s	s	PROPN
ejpam-5613	320	16	,	,	PUNCT
ejpam-5613	320	17	w	w	NOUN
ejpam-5613	320	18	)	)	PUNCT
ejpam-5613	320	19	ds	ds	ADJ
ejpam-5613	320	20	)	)	PUNCT
ejpam-5613	320	21	dw	dw	PROPN
ejpam-5613	321	1	+	+	CCONJ
ejpam-5613	321	2	∫	∫	PROPN
ejpam-5613	321	3	b	b	PROPN
ejpam-5613	321	4	a	a	DET
ejpam-5613	321	5	∫	∫	PROPN
ejpam-5613	321	6	d	d	X
ejpam-5613	321	7	c	c	PROPN
ejpam-5613	321	8	α	α	PROPN
ejpam-5613	321	9	(	(	PUNCT
ejpam-5613	321	10	t	t	PROPN
ejpam-5613	321	11	,	,	PUNCT
ejpam-5613	321	12	w)y	w)y	X
ejpam-5613	321	13	(	(	PUNCT
ejpam-5613	321	14	t	t	PROPN
ejpam-5613	321	15	,	,	PUNCT
ejpam-5613	321	16	w	w	NOUN
ejpam-5613	321	17	)	)	PUNCT
ejpam-5613	321	18	dwdt	dwdt	NOUN
ejpam-5613	321	19	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	321	20	e1×e2	e1×e2	VERB
ejpam-5613	321	21	≤	≤	ADJ
ejpam-5613	321	22	sup	sup	NOUN
ejpam-5613	321	23	(	(	PUNCT
ejpam-5613	321	24	t	t	PROPN
ejpam-5613	321	25	,	,	PUNCT
ejpam-5613	321	26	w)∈[a	w)∈[a	NOUN
ejpam-5613	321	27	,	,	PUNCT
ejpam-5613	321	28	b]×[c	b]×[c	PROPN
ejpam-5613	321	29	,	,	PUNCT
ejpam-5613	321	30	d	d	X
ejpam-5613	321	31	]	]	PUNCT
ejpam-5613	321	32	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	322	1	∂2	∂2	NUM
ejpam-5613	322	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	322	3	y	y	PROPN
ejpam-5613	322	4	(	(	PUNCT
ejpam-5613	322	5	t	t	PROPN
ejpam-5613	322	6	,	,	PUNCT
ejpam-5613	322	7	w	w	PROPN
ejpam-5613	322	8	)	)	PUNCT
ejpam-5613	322	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	323	1	e1×e2	e1×e2	VERB
ejpam-5613	323	2	o.	o.	PROPN
ejpam-5613	323	3	b.	b.	PROPN
ejpam-5613	323	4	almutairi	almutairi	PROPN
ejpam-5613	323	5	,	,	PUNCT
ejpam-5613	323	6	m.	m.	NOUN
ejpam-5613	323	7	a.	a.	PROPN
ejpam-5613	323	8	latif	latif	PROPN
ejpam-5613	323	9	/	/	SYM
ejpam-5613	323	10	eur	eur	PROPN
ejpam-5613	323	11	.	.	PUNCT
ejpam-5613	324	1	j.	j.	PROPN
ejpam-5613	324	2	pure	pure	PROPN
ejpam-5613	324	3	appl	appl	PROPN
ejpam-5613	324	4	.	.	PROPN
ejpam-5613	324	5	math	math	PROPN
ejpam-5613	324	6	,	,	PUNCT
ejpam-5613	324	7	18	18	NUM
ejpam-5613	324	8	(	(	PUNCT
ejpam-5613	324	9	1	1	NUM
ejpam-5613	324	10	)	)	PUNCT
ejpam-5613	324	11	(	(	PUNCT
ejpam-5613	324	12	2025	2025	NUM
ejpam-5613	324	13	)	)	PUNCT
ejpam-5613	324	14	,	,	PUNCT
ejpam-5613	324	15	5608	5608	NUM
ejpam-5613	324	16	14	14	NUM
ejpam-5613	324	17	of	of	ADP
ejpam-5613	324	18	33	33	NUM
ejpam-5613	324	19	×	×	NOUN
ejpam-5613	324	20			NOUN
ejpam-5613	324	21	(	(	PUNCT
ejpam-5613	324	22	b−	b−	PROPN
ejpam-5613	324	23	u)(d−	u)(d−	PROPN
ejpam-5613	324	24	v	v	NOUN
ejpam-5613	324	25	)	)	PUNCT
ejpam-5613	324	26	∫	∫	PROPN
ejpam-5613	325	1	b	b	SYM
ejpam-5613	325	2	u	u	PROPN
ejpam-5613	325	3	∫	∫	PROPN
ejpam-5613	325	4	d	d	X
ejpam-5613	325	5	v	v	ADP
ejpam-5613	325	6	|α(t	|α(t	PROPN
ejpam-5613	325	7	,	,	PUNCT
ejpam-5613	325	8	w)|dwdt+	w)|dwdt+	PROPN
ejpam-5613	325	9	(	(	PUNCT
ejpam-5613	325	10	u−	u−	PROPN
ejpam-5613	325	11	u)(d−	u)(d−	PROPN
ejpam-5613	325	12	v	v	NOUN
ejpam-5613	325	13	)	)	PUNCT
ejpam-5613	325	14	∫	∫	PROPN
ejpam-5613	325	15	u	u	PROPN
ejpam-5613	325	16	a	a	DET
ejpam-5613	325	17	∫	∫	PROPN
ejpam-5613	325	18	d	d	X
ejpam-5613	325	19	v	v	ADP
ejpam-5613	325	20	|α(t	|α(t	PROPN
ejpam-5613	325	21	,	,	PUNCT
ejpam-5613	325	22	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	325	23	+	+	PROPN
ejpam-5613	325	24	(	(	PUNCT
ejpam-5613	325	25	b−	b−	NOUN
ejpam-5613	325	26	u)(v	u)(v	PUNCT
ejpam-5613	325	27	−	−	PROPN
ejpam-5613	325	28	c	c	X
ejpam-5613	325	29	)	)	PUNCT
ejpam-5613	325	30	∫	∫	PROPN
ejpam-5613	326	1	b	b	SYM
ejpam-5613	326	2	u	u	PROPN
ejpam-5613	326	3	∫	∫	PROPN
ejpam-5613	326	4	v	v	NOUN
ejpam-5613	326	5	c	c	X
ejpam-5613	326	6	|α(t	|α(t	PROPN
ejpam-5613	326	7	,	,	PUNCT
ejpam-5613	326	8	w)|dwdt+	w)|dwdt+	PROPN
ejpam-5613	326	9	(	(	PUNCT
ejpam-5613	326	10	u−	u−	PROPN
ejpam-5613	326	11	a)(v	a)(v	X
ejpam-5613	326	12	−	−	PROPN
ejpam-5613	326	13	c	c	X
ejpam-5613	326	14	)	)	PUNCT
ejpam-5613	326	15	∫	∫	PROPN
ejpam-5613	326	16	u	u	PROPN
ejpam-5613	326	17	a	a	DET
ejpam-5613	326	18	∫	∫	PROPN
ejpam-5613	326	19	v	v	NOUN
ejpam-5613	326	20	c	c	NOUN
ejpam-5613	326	21	|α(t	|α(t	PROPN
ejpam-5613	326	22	,	,	PUNCT
ejpam-5613	326	23	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	326	24	,	,	PUNCT
ejpam-5613	326	25	[	[	X
ejpam-5613	326	26	(	(	PUNCT
ejpam-5613	326	27	b−u)(d−v	b−u)(d−v	PROPN
ejpam-5613	326	28	)	)	PUNCT
ejpam-5613	326	29	]	]	PUNCT
ejpam-5613	327	1	1	1	NUM
ejpam-5613	327	2	+	+	SYM
ejpam-5613	327	3	1	1	NUM
ejpam-5613	327	4	q	q	NOUN
ejpam-5613	327	5	(	(	PUNCT
ejpam-5613	327	6	q+1	q+1	NOUN
ejpam-5613	327	7	)	)	PUNCT
ejpam-5613	327	8	2	2	NUM
ejpam-5613	327	9	q	q	NOUN
ejpam-5613	327	10	(	(	PUNCT
ejpam-5613	327	11	∫	∫	PROPN
ejpam-5613	327	12	b	b	PROPN
ejpam-5613	327	13	u	u	PROPN
ejpam-5613	327	14	∫	∫	PROPN
ejpam-5613	327	15	d	d	X
ejpam-5613	327	16	v	v	ADP
ejpam-5613	327	17	|α(t	|α(t	PROPN
ejpam-5613	327	18	,	,	PUNCT
ejpam-5613	327	19	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	327	20	)	)	PUNCT
ejpam-5613	327	21	1	1	NUM
ejpam-5613	328	1	p	p	NOUN
ejpam-5613	328	2	+	+	X
ejpam-5613	328	3	[	[	X
ejpam-5613	328	4	(	(	PUNCT
ejpam-5613	328	5	u−a)(d−v	u−a)(d−v	PROPN
ejpam-5613	328	6	)	)	PUNCT
ejpam-5613	328	7	]	]	PUNCT
ejpam-5613	329	1	1	1	NUM
ejpam-5613	329	2	+	+	SYM
ejpam-5613	329	3	1	1	NUM
ejpam-5613	329	4	q	q	NOUN
ejpam-5613	329	5	(	(	PUNCT
ejpam-5613	329	6	q+1	q+1	NOUN
ejpam-5613	329	7	)	)	PUNCT
ejpam-5613	329	8	2	2	NUM
ejpam-5613	329	9	q	q	NOUN
ejpam-5613	329	10	(	(	PUNCT
ejpam-5613	329	11	∫	∫	PROPN
ejpam-5613	329	12	u	u	PROPN
ejpam-5613	329	13	a	a	DET
ejpam-5613	329	14	∫	∫	PROPN
ejpam-5613	329	15	d	d	X
ejpam-5613	329	16	v	v	ADP
ejpam-5613	329	17	|α(t	|α(t	PROPN
ejpam-5613	329	18	,	,	PUNCT
ejpam-5613	329	19	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	329	20	)	)	PUNCT
ejpam-5613	329	21	1	1	NUM
ejpam-5613	330	1	p	p	NOUN
ejpam-5613	330	2	+	+	X
ejpam-5613	331	1	[	[	X
ejpam-5613	331	2	(	(	PUNCT
ejpam-5613	331	3	b−u)(v−c	b−u)(v−c	NOUN
ejpam-5613	331	4	)	)	PUNCT
ejpam-5613	331	5	]	]	PUNCT
ejpam-5613	332	1	1	1	NUM
ejpam-5613	332	2	+	+	SYM
ejpam-5613	332	3	1	1	NUM
ejpam-5613	332	4	q	q	NOUN
ejpam-5613	332	5	(	(	PUNCT
ejpam-5613	332	6	q+1	q+1	NOUN
ejpam-5613	332	7	)	)	PUNCT
ejpam-5613	332	8	2	2	NUM
ejpam-5613	332	9	q	q	NOUN
ejpam-5613	332	10	(	(	PUNCT
ejpam-5613	332	11	∫	∫	PROPN
ejpam-5613	332	12	b	b	SYM
ejpam-5613	332	13	u	u	PROPN
ejpam-5613	332	14	∫	∫	PROPN
ejpam-5613	332	15	v	v	NOUN
ejpam-5613	332	16	c	c	X
ejpam-5613	332	17	|α(t	|α(t	PROPN
ejpam-5613	332	18	,	,	PUNCT
ejpam-5613	332	19	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	332	20	)	)	PUNCT
ejpam-5613	332	21	1	1	NUM
ejpam-5613	333	1	p	p	NOUN
ejpam-5613	333	2	+	+	X
ejpam-5613	334	1	[	[	X
ejpam-5613	334	2	(	(	PUNCT
ejpam-5613	334	3	u−a)(v−c	u−a)(v−c	PROPN
ejpam-5613	334	4	)	)	PUNCT
ejpam-5613	334	5	]	]	PUNCT
ejpam-5613	335	1	1	1	NUM
ejpam-5613	335	2	+	+	SYM
ejpam-5613	335	3	1	1	NUM
ejpam-5613	335	4	q	q	NOUN
ejpam-5613	335	5	(	(	PUNCT
ejpam-5613	335	6	q+1	q+1	NOUN
ejpam-5613	335	7	)	)	PUNCT
ejpam-5613	335	8	2	2	NUM
ejpam-5613	335	9	q	q	NOUN
ejpam-5613	335	10	(	(	PUNCT
ejpam-5613	335	11	∫	∫	PROPN
ejpam-5613	335	12	u	u	PROPN
ejpam-5613	335	13	a	a	DET
ejpam-5613	335	14	∫	∫	PROPN
ejpam-5613	335	15	v	v	NOUN
ejpam-5613	335	16	c	c	NOUN
ejpam-5613	335	17	|α(t	|α(t	PROPN
ejpam-5613	335	18	,	,	PUNCT
ejpam-5613	335	19	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	335	20	)	)	PUNCT
ejpam-5613	335	21	1	1	NUM
ejpam-5613	335	22	p	p	NOUN
ejpam-5613	335	23	,	,	PUNCT
ejpam-5613	335	24	(	(	PUNCT
ejpam-5613	335	25	b−u)2(d−v)2	b−u)2(d−v)2	ADJ
ejpam-5613	335	26	4	4	NUM
ejpam-5613	335	27	sup	sup	NOUN
ejpam-5613	335	28	(	(	PUNCT
ejpam-5613	335	29	t	t	PROPN
ejpam-5613	335	30	,	,	PUNCT
ejpam-5613	335	31	w)∈[u	w)∈[u	NOUN
ejpam-5613	335	32	,	,	PUNCT
ejpam-5613	335	33	b]×[v	b]×[v	PROPN
ejpam-5613	335	34	,	,	PUNCT
ejpam-5613	335	35	d	d	X
ejpam-5613	335	36	]	]	X
ejpam-5613	335	37	|α(t	|α(t	PROPN
ejpam-5613	335	38	,	,	PUNCT
ejpam-5613	335	39	s)|+	s)|+	ADV
ejpam-5613	335	40	(	(	PUNCT
ejpam-5613	335	41	u−a)2(d−v)2	u−a)2(d−v)2	ADJ
ejpam-5613	335	42	4	4	NUM
ejpam-5613	335	43	sup	sup	NOUN
ejpam-5613	335	44	(	(	PUNCT
ejpam-5613	335	45	t	t	NOUN
ejpam-5613	335	46	,	,	PUNCT
ejpam-5613	335	47	w)∈[a	w)∈[a	NOUN
ejpam-5613	335	48	,	,	PUNCT
ejpam-5613	335	49	u]×[v	u]×[v	PROPN
ejpam-5613	335	50	,	,	PUNCT
ejpam-5613	335	51	d	d	X
ejpam-5613	335	52	]	]	X
ejpam-5613	335	53	|α(t	|α(t	PROPN
ejpam-5613	335	54	,	,	PUNCT
ejpam-5613	335	55	s)|	s)|	NOUN
ejpam-5613	335	56	+	+	CCONJ
ejpam-5613	335	57	(	(	PUNCT
ejpam-5613	335	58	b−u)2(v−c)2	b−u)2(v−c)2	NOUN
ejpam-5613	335	59	4	4	NUM
ejpam-5613	335	60	sup	sup	NOUN
ejpam-5613	335	61	(	(	PUNCT
ejpam-5613	335	62	t	t	PROPN
ejpam-5613	335	63	,	,	PUNCT
ejpam-5613	335	64	w)∈[u	w)∈[u	PROPN
ejpam-5613	335	65	,	,	PUNCT
ejpam-5613	335	66	b]×[c	b]×[c	PROPN
ejpam-5613	335	67	,	,	PUNCT
ejpam-5613	335	68	v	v	NOUN
ejpam-5613	335	69	]	]	X
ejpam-5613	335	70	|α(t	|α(t	ADJ
ejpam-5613	335	71	,	,	PUNCT
ejpam-5613	335	72	s)|+	s)|+	ADV
ejpam-5613	335	73	(	(	PUNCT
ejpam-5613	335	74	u−a)2(v−c)2	u−a)2(v−c)2	PROPN
ejpam-5613	335	75	4	4	NUM
ejpam-5613	335	76	sup	sup	NOUN
ejpam-5613	335	77	(	(	PUNCT
ejpam-5613	335	78	t	t	NOUN
ejpam-5613	335	79	,	,	PUNCT
ejpam-5613	335	80	w)∈[a	w)∈[a	NOUN
ejpam-5613	335	81	,	,	PUNCT
ejpam-5613	335	82	u]×[c	u]×[c	PROPN
ejpam-5613	335	83	,	,	PUNCT
ejpam-5613	335	84	v	v	NOUN
ejpam-5613	335	85	]	]	X
ejpam-5613	335	86	|α(t	|α(t	PROPN
ejpam-5613	335	87	,	,	PUNCT
ejpam-5613	335	88	s)|	s)|	NOUN
ejpam-5613	335	89	,	,	PUNCT
ejpam-5613	335	90	(	(	PUNCT
ejpam-5613	335	91	2.12	2.12	NUM
ejpam-5613	335	92	)	)	PUNCT
ejpam-5613	335	93	where	where	SCONJ
ejpam-5613	335	94	p	p	X
ejpam-5613	335	95	,	,	PUNCT
ejpam-5613	335	96	q	q	ADJ
ejpam-5613	335	97	>	>	X
ejpam-5613	335	98	1	1	NUM
ejpam-5613	335	99	with	with	ADP
ejpam-5613	335	100	1	1	NUM
ejpam-5613	335	101	p	p	NOUN
ejpam-5613	335	102	+	+	NOUN
ejpam-5613	335	103	1	1	NUM
ejpam-5613	335	104	q	q	NOUN
ejpam-5613	335	105	=	=	NOUN
ejpam-5613	335	106	1	1	X
ejpam-5613	335	107	.	.	PUNCT
ejpam-5613	336	1	proof	proof	NOUN
ejpam-5613	336	2	.	.	PUNCT
ejpam-5613	337	1	applying	apply	VERB
ejpam-5613	337	2	hölder	hölder	NOUN
ejpam-5613	337	3	’s	’s	PART
ejpam-5613	337	4	integral	integral	ADJ
ejpam-5613	337	5	inequality	inequality	NOUN
ejpam-5613	337	6	and	and	CCONJ
ejpam-5613	337	7	properties	property	NOUN
ejpam-5613	337	8	of	of	ADP
ejpam-5613	337	9	supremum	supremum	ADJ
ejpam-5613	337	10	,	,	PUNCT
ejpam-5613	337	11	we	we	PRON
ejpam-5613	337	12	obtain∫	obtain∫	VERB
ejpam-5613	337	13	b	b	X
ejpam-5613	337	14	u	u	NOUN
ejpam-5613	337	15	∫	∫	PROPN
ejpam-5613	337	16	d	d	X
ejpam-5613	337	17	v	v	PROPN
ejpam-5613	337	18	(	(	PUNCT
ejpam-5613	337	19	b−	b−	PROPN
ejpam-5613	337	20	t)(d−	t)(d−	PROPN
ejpam-5613	337	21	w)|α(t	w)|α(t	PROPN
ejpam-5613	337	22	,	,	PUNCT
ejpam-5613	337	23	w)|dwdt	w)|dwdt	VERB
ejpam-5613	337	24	≤	≤	NUM
ejpam-5613	337	25			NUM
ejpam-5613	337	26	sup	sup	NOUN
ejpam-5613	337	27	(	(	PUNCT
ejpam-5613	337	28	t	t	PROPN
ejpam-5613	337	29	,	,	PUNCT
ejpam-5613	337	30	w)∈[u	w)∈[u	NOUN
ejpam-5613	337	31	,	,	PUNCT
ejpam-5613	337	32	b]×[v	b]×[v	PROPN
ejpam-5613	337	33	,	,	PUNCT
ejpam-5613	337	34	d	d	X
ejpam-5613	337	35	]	]	X
ejpam-5613	338	1	[	[	X
ejpam-5613	338	2	(	(	PUNCT
ejpam-5613	338	3	b−	b−	PROPN
ejpam-5613	338	4	t)(d−	t)(d−	PROPN
ejpam-5613	338	5	w	w	PROPN
ejpam-5613	338	6	)	)	PUNCT
ejpam-5613	338	7	]	]	PUNCT
ejpam-5613	339	1	∫	∫	PROPN
ejpam-5613	339	2	b	b	SYM
ejpam-5613	339	3	u	u	PROPN
ejpam-5613	339	4	∫	∫	PROPN
ejpam-5613	339	5	d	d	X
ejpam-5613	339	6	v	v	ADP
ejpam-5613	339	7	|α(t	|α(t	PROPN
ejpam-5613	339	8	,	,	PUNCT
ejpam-5613	339	9	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	339	10	,	,	PUNCT
ejpam-5613	339	11	(	(	PUNCT
ejpam-5613	339	12	∫	∫	PROPN
ejpam-5613	339	13	b	b	PROPN
ejpam-5613	339	14	u	u	PROPN
ejpam-5613	339	15	∫	∫	PROPN
ejpam-5613	339	16	d	d	X
ejpam-5613	339	17	v	v	X
ejpam-5613	339	18	[	[	X
ejpam-5613	339	19	(	(	PUNCT
ejpam-5613	339	20	b−	b−	PROPN
ejpam-5613	339	21	t)(d−	t)(d−	PROPN
ejpam-5613	339	22	w)]q	w)]q	PROPN
ejpam-5613	339	23	dwdt	dwdt	NOUN
ejpam-5613	339	24	)	)	PUNCT
ejpam-5613	339	25	1	1	NUM
ejpam-5613	339	26	q	q	NOUN
ejpam-5613	339	27	(	(	PUNCT
ejpam-5613	339	28	∫	∫	PROPN
ejpam-5613	339	29	b	b	PROPN
ejpam-5613	339	30	u	u	PROPN
ejpam-5613	339	31	∫	∫	PROPN
ejpam-5613	339	32	d	d	X
ejpam-5613	339	33	v	v	ADP
ejpam-5613	339	34	|α(t	|α(t	PROPN
ejpam-5613	339	35	,	,	PUNCT
ejpam-5613	339	36	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	339	37	)	)	PUNCT
ejpam-5613	339	38	1	1	NUM
ejpam-5613	339	39	p	p	NOUN
ejpam-5613	339	40	,	,	PUNCT
ejpam-5613	339	41	sup	sup	PROPN
ejpam-5613	339	42	(	(	PUNCT
ejpam-5613	339	43	t	t	PROPN
ejpam-5613	339	44	,	,	PUNCT
ejpam-5613	339	45	w)∈[u	w)∈[u	NOUN
ejpam-5613	339	46	,	,	PUNCT
ejpam-5613	339	47	b]×[v	b]×[v	PROPN
ejpam-5613	339	48	,	,	PUNCT
ejpam-5613	339	49	d	d	X
ejpam-5613	339	50	]	]	X
ejpam-5613	339	51	|α(t	|α(t	PROPN
ejpam-5613	339	52	,	,	PUNCT
ejpam-5613	339	53	w)|	w)|	VERB
ejpam-5613	339	54	∫	∫	PROPN
ejpam-5613	339	55	b	b	PROPN
ejpam-5613	339	56	u	u	PROPN
ejpam-5613	339	57	∫	∫	PROPN
ejpam-5613	339	58	d	d	X
ejpam-5613	339	59	v	v	PROPN
ejpam-5613	339	60	(	(	PUNCT
ejpam-5613	339	61	b−	b−	PROPN
ejpam-5613	339	62	t)(d−	t)(d−	PROPN
ejpam-5613	339	63	w)dwdt	w)dwdt	PROPN
ejpam-5613	339	64	,	,	PUNCT
ejpam-5613	339	65	(	(	PUNCT
ejpam-5613	339	66	2.13	2.13	NUM
ejpam-5613	339	67	)	)	PUNCT
ejpam-5613	339	68	where	where	SCONJ
ejpam-5613	339	69	p	p	X
ejpam-5613	339	70	,	,	PUNCT
ejpam-5613	339	71	q	q	ADJ
ejpam-5613	339	72	>	>	X
ejpam-5613	339	73	1	1	NUM
ejpam-5613	339	74	with	with	ADP
ejpam-5613	339	75	1	1	NUM
ejpam-5613	339	76	p	p	NOUN
ejpam-5613	340	1	+	+	NOUN
ejpam-5613	340	2	1	1	NUM
ejpam-5613	340	3	q	q	NOUN
ejpam-5613	340	4	=	=	ADJ
ejpam-5613	340	5	1	1	X
ejpam-5613	340	6	.	.	PUNCT
ejpam-5613	341	1	the	the	DET
ejpam-5613	341	2	inequalities	inequality	NOUN
ejpam-5613	341	3	(	(	PUNCT
ejpam-5613	341	4	2.12	2.12	NUM
ejpam-5613	341	5	)	)	PUNCT
ejpam-5613	341	6	can	can	AUX
ejpam-5613	341	7	be	be	AUX
ejpam-5613	341	8	re	re	VERB
ejpam-5613	341	9	-	-	VERB
ejpam-5613	341	10	written	write	VERB
ejpam-5613	341	11	as	as	ADP
ejpam-5613	341	12	follows:∫	follows:∫	PROPN
ejpam-5613	341	13	b	b	SYM
ejpam-5613	341	14	u	u	NOUN
ejpam-5613	341	15	∫	∫	PROPN
ejpam-5613	341	16	d	d	X
ejpam-5613	341	17	v	v	PROPN
ejpam-5613	341	18	(	(	PUNCT
ejpam-5613	341	19	b−	b−	PROPN
ejpam-5613	341	20	t)(d−	t)(d−	PROPN
ejpam-5613	341	21	w)|α(t	w)|α(t	PROPN
ejpam-5613	341	22	,	,	PUNCT
ejpam-5613	341	23	w)|dwdt	w)|dwdt	VERB
ejpam-5613	341	24	≤	≤	NUM
ejpam-5613	341	25			NUM
ejpam-5613	342	1	[	[	X
ejpam-5613	342	2	(	(	PUNCT
ejpam-5613	342	3	b−	b−	PROPN
ejpam-5613	342	4	u)(d−	u)(d−	PROPN
ejpam-5613	342	5	v	v	NOUN
ejpam-5613	342	6	)	)	PUNCT
ejpam-5613	342	7	]	]	PUNCT
ejpam-5613	343	1	∫	∫	PROPN
ejpam-5613	343	2	b	b	X
ejpam-5613	343	3	u	u	PROPN
ejpam-5613	343	4	∫	∫	PROPN
ejpam-5613	343	5	d	d	X
ejpam-5613	343	6	v	v	ADP
ejpam-5613	343	7	|α(t	|α(t	PROPN
ejpam-5613	343	8	,	,	PUNCT
ejpam-5613	343	9	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	343	10	,	,	PUNCT
ejpam-5613	343	11	[	[	X
ejpam-5613	343	12	(	(	PUNCT
ejpam-5613	343	13	b−u)(d−v	b−u)(d−v	PROPN
ejpam-5613	343	14	)	)	PUNCT
ejpam-5613	343	15	]	]	PUNCT
ejpam-5613	344	1	1	1	NUM
ejpam-5613	344	2	+	+	SYM
ejpam-5613	344	3	1	1	NUM
ejpam-5613	344	4	q	q	NOUN
ejpam-5613	344	5	(	(	PUNCT
ejpam-5613	344	6	q+1	q+1	NOUN
ejpam-5613	344	7	)	)	PUNCT
ejpam-5613	344	8	2	2	NUM
ejpam-5613	344	9	q	q	NOUN
ejpam-5613	344	10	(	(	PUNCT
ejpam-5613	344	11	∫	∫	PROPN
ejpam-5613	344	12	b	b	PROPN
ejpam-5613	344	13	u	u	PROPN
ejpam-5613	344	14	∫	∫	PROPN
ejpam-5613	344	15	d	d	X
ejpam-5613	344	16	v	v	ADP
ejpam-5613	344	17	|α(t	|α(t	PROPN
ejpam-5613	344	18	,	,	PUNCT
ejpam-5613	344	19	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	344	20	)	)	PUNCT
ejpam-5613	344	21	1	1	NUM
ejpam-5613	344	22	p	p	NOUN
ejpam-5613	344	23	,	,	PUNCT
ejpam-5613	344	24	(	(	PUNCT
ejpam-5613	344	25	b−u)2(d−v)2	b−u)2(d−v)2	ADJ
ejpam-5613	344	26	4	4	NUM
ejpam-5613	344	27	sup	sup	NOUN
ejpam-5613	344	28	(	(	PUNCT
ejpam-5613	344	29	t	t	PROPN
ejpam-5613	344	30	,	,	PUNCT
ejpam-5613	344	31	w)∈[u	w)∈[u	NOUN
ejpam-5613	344	32	,	,	PUNCT
ejpam-5613	344	33	b]×[v	b]×[v	PROPN
ejpam-5613	344	34	,	,	PUNCT
ejpam-5613	344	35	d	d	X
ejpam-5613	344	36	]	]	X
ejpam-5613	344	37	|α(t	|α(t	PROPN
ejpam-5613	344	38	,	,	PUNCT
ejpam-5613	344	39	s)|	s)|	NOUN
ejpam-5613	344	40	,	,	PUNCT
ejpam-5613	344	41	(	(	PUNCT
ejpam-5613	344	42	2.14	2.14	NUM
ejpam-5613	344	43	)	)	PUNCT
ejpam-5613	344	44	where	where	SCONJ
ejpam-5613	344	45	p	p	X
ejpam-5613	344	46	,	,	PUNCT
ejpam-5613	344	47	q	q	ADJ
ejpam-5613	344	48	>	>	X
ejpam-5613	344	49	1	1	NUM
ejpam-5613	344	50	with	with	ADP
ejpam-5613	344	51	1	1	NUM
ejpam-5613	344	52	p	p	NOUN
ejpam-5613	344	53	+	+	NOUN
ejpam-5613	344	54	1	1	NUM
ejpam-5613	344	55	q	q	NOUN
ejpam-5613	344	56	=	=	ADJ
ejpam-5613	344	57	1	1	X
ejpam-5613	344	58	.	.	PUNCT
ejpam-5613	344	59	similarly	similarly	ADV
ejpam-5613	344	60	,	,	PUNCT
ejpam-5613	344	61	we	we	PRON
ejpam-5613	344	62	also	also	ADV
ejpam-5613	344	63	observe	observe	VERB
ejpam-5613	344	64	that	that	SCONJ
ejpam-5613	344	65	the	the	DET
ejpam-5613	344	66	following	follow	VERB
ejpam-5613	344	67	inequalities	inequality	NOUN
ejpam-5613	344	68	hold	hold	VERB
ejpam-5613	344	69	:	:	PUNCT
ejpam-5613	344	70	o.	o.	PROPN
ejpam-5613	344	71	b.	b.	PROPN
ejpam-5613	344	72	almutairi	almutairi	PROPN
ejpam-5613	344	73	,	,	PUNCT
ejpam-5613	344	74	m.	m.	NOUN
ejpam-5613	344	75	a.	a.	PROPN
ejpam-5613	344	76	latif	latif	PROPN
ejpam-5613	344	77	/	/	SYM
ejpam-5613	344	78	eur	eur	PROPN
ejpam-5613	344	79	.	.	PUNCT
ejpam-5613	345	1	j.	j.	PROPN
ejpam-5613	345	2	pure	pure	PROPN
ejpam-5613	345	3	appl	appl	PROPN
ejpam-5613	345	4	.	.	PROPN
ejpam-5613	345	5	math	math	PROPN
ejpam-5613	345	6	,	,	PUNCT
ejpam-5613	345	7	18	18	NUM
ejpam-5613	345	8	(	(	PUNCT
ejpam-5613	345	9	1	1	NUM
ejpam-5613	345	10	)	)	PUNCT
ejpam-5613	345	11	(	(	PUNCT
ejpam-5613	345	12	2025	2025	NUM
ejpam-5613	345	13	)	)	PUNCT
ejpam-5613	345	14	,	,	PUNCT
ejpam-5613	345	15	5608	5608	NUM
ejpam-5613	345	16	15	15	NUM
ejpam-5613	345	17	of	of	ADP
ejpam-5613	345	18	33∫	33∫	NUM
ejpam-5613	345	19	u	u	NOUN
ejpam-5613	345	20	a	a	DET
ejpam-5613	345	21	∫	∫	PROPN
ejpam-5613	345	22	d	d	X
ejpam-5613	345	23	v	v	NOUN
ejpam-5613	345	24	(	(	PUNCT
ejpam-5613	345	25	t−	t−	PROPN
ejpam-5613	345	26	a)(d−	a)(d−	PROPN
ejpam-5613	345	27	w)|α(t	w)|α(t	PROPN
ejpam-5613	345	28	,	,	PUNCT
ejpam-5613	345	29	w)|dwdt	w)|dwdt	VERB
ejpam-5613	345	30	≤	≤	NUM
ejpam-5613	345	31			NUM
ejpam-5613	346	1	[	[	X
ejpam-5613	346	2	(	(	PUNCT
ejpam-5613	346	3	u−	u−	PROPN
ejpam-5613	346	4	a)(d−	a)(d−	PROPN
ejpam-5613	346	5	v	v	NOUN
ejpam-5613	346	6	)	)	PUNCT
ejpam-5613	346	7	]	]	PUNCT
ejpam-5613	346	8	∫	∫	PROPN
ejpam-5613	346	9	u	u	PROPN
ejpam-5613	346	10	a	a	DET
ejpam-5613	346	11	∫	∫	PROPN
ejpam-5613	346	12	d	d	X
ejpam-5613	346	13	v	v	ADP
ejpam-5613	346	14	|α(t	|α(t	PROPN
ejpam-5613	346	15	,	,	PUNCT
ejpam-5613	346	16	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	346	17	,	,	PUNCT
ejpam-5613	346	18	[	[	X
ejpam-5613	346	19	(	(	PUNCT
ejpam-5613	346	20	u−a)(d−v	u−a)(d−v	PROPN
ejpam-5613	346	21	)	)	PUNCT
ejpam-5613	346	22	]	]	PUNCT
ejpam-5613	347	1	1	1	NUM
ejpam-5613	347	2	+	+	SYM
ejpam-5613	347	3	1	1	NUM
ejpam-5613	347	4	q	q	NOUN
ejpam-5613	347	5	(	(	PUNCT
ejpam-5613	347	6	q+1	q+1	NOUN
ejpam-5613	347	7	)	)	PUNCT
ejpam-5613	347	8	2	2	NUM
ejpam-5613	347	9	q	q	NOUN
ejpam-5613	347	10	(	(	PUNCT
ejpam-5613	347	11	∫	∫	PROPN
ejpam-5613	347	12	u	u	PROPN
ejpam-5613	347	13	a	a	DET
ejpam-5613	347	14	∫	∫	PROPN
ejpam-5613	347	15	d	d	X
ejpam-5613	347	16	v	v	ADP
ejpam-5613	347	17	|α(t	|α(t	PROPN
ejpam-5613	347	18	,	,	PUNCT
ejpam-5613	347	19	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	347	20	)	)	PUNCT
ejpam-5613	347	21	1	1	NUM
ejpam-5613	347	22	p	p	NOUN
ejpam-5613	347	23	,	,	PUNCT
ejpam-5613	347	24	(	(	PUNCT
ejpam-5613	347	25	u−a)2(d−v)2	u−a)2(d−v)2	ADJ
ejpam-5613	347	26	4	4	NUM
ejpam-5613	347	27	sup	sup	NOUN
ejpam-5613	347	28	(	(	PUNCT
ejpam-5613	347	29	t	t	NOUN
ejpam-5613	347	30	,	,	PUNCT
ejpam-5613	347	31	w)∈[a	w)∈[a	NOUN
ejpam-5613	347	32	,	,	PUNCT
ejpam-5613	347	33	u]×[v	u]×[v	PROPN
ejpam-5613	347	34	,	,	PUNCT
ejpam-5613	347	35	d	d	X
ejpam-5613	347	36	]	]	X
ejpam-5613	347	37	|α(t	|α(t	PROPN
ejpam-5613	347	38	,	,	PUNCT
ejpam-5613	347	39	s)|	s)|	NOUN
ejpam-5613	347	40	,	,	PUNCT
ejpam-5613	347	41	(	(	PUNCT
ejpam-5613	347	42	2.15	2.15	NUM
ejpam-5613	347	43	)	)	PUNCT
ejpam-5613	347	44	∫	∫	PROPN
ejpam-5613	347	45	b	b	SYM
ejpam-5613	347	46	u	u	PROPN
ejpam-5613	347	47	∫	∫	PROPN
ejpam-5613	347	48	v	v	X
ejpam-5613	347	49	c	c	PROPN
ejpam-5613	347	50	(	(	PUNCT
ejpam-5613	347	51	b−	b−	NOUN
ejpam-5613	347	52	t)(w	t)(w	NOUN
ejpam-5613	347	53	−	−	PROPN
ejpam-5613	347	54	c)|α(t	c)|α(t	PROPN
ejpam-5613	347	55	,	,	PUNCT
ejpam-5613	347	56	w)|dwdt	w)|dwdt	VERB
ejpam-5613	347	57	≤	≤	NUM
ejpam-5613	347	58			PROPN
ejpam-5613	348	1	[	[	X
ejpam-5613	348	2	(	(	PUNCT
ejpam-5613	348	3	b−	b−	NOUN
ejpam-5613	348	4	u)(v	u)(v	PUNCT
ejpam-5613	348	5	−	−	PROPN
ejpam-5613	348	6	c	c	X
ejpam-5613	348	7	)	)	PUNCT
ejpam-5613	348	8	]	]	PUNCT
ejpam-5613	349	1	∫	∫	PROPN
ejpam-5613	349	2	b	b	SYM
ejpam-5613	349	3	u	u	PROPN
ejpam-5613	349	4	∫	∫	PROPN
ejpam-5613	349	5	v	v	NOUN
ejpam-5613	349	6	c	c	X
ejpam-5613	349	7	|α(t	|α(t	PROPN
ejpam-5613	349	8	,	,	PUNCT
ejpam-5613	349	9	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	349	10	,	,	PUNCT
ejpam-5613	349	11	[	[	X
ejpam-5613	349	12	(	(	PUNCT
ejpam-5613	349	13	b−u)(v−c	b−u)(v−c	NOUN
ejpam-5613	349	14	)	)	PUNCT
ejpam-5613	349	15	]	]	PUNCT
ejpam-5613	350	1	1	1	NUM
ejpam-5613	350	2	+	+	SYM
ejpam-5613	350	3	1	1	NUM
ejpam-5613	350	4	q	q	NOUN
ejpam-5613	350	5	(	(	PUNCT
ejpam-5613	350	6	q+1	q+1	NOUN
ejpam-5613	350	7	)	)	PUNCT
ejpam-5613	350	8	2	2	NUM
ejpam-5613	350	9	q	q	NOUN
ejpam-5613	350	10	(	(	PUNCT
ejpam-5613	350	11	∫	∫	PROPN
ejpam-5613	350	12	b	b	SYM
ejpam-5613	350	13	u	u	PROPN
ejpam-5613	350	14	∫	∫	PROPN
ejpam-5613	350	15	v	v	NOUN
ejpam-5613	350	16	c	c	X
ejpam-5613	350	17	|α(t	|α(t	PROPN
ejpam-5613	350	18	,	,	PUNCT
ejpam-5613	350	19	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	350	20	)	)	PUNCT
ejpam-5613	350	21	1	1	NUM
ejpam-5613	350	22	p	p	NOUN
ejpam-5613	350	23	,	,	PUNCT
ejpam-5613	350	24	(	(	PUNCT
ejpam-5613	350	25	b−u)2(v−c)2	b−u)2(v−c)2	NOUN
ejpam-5613	350	26	4	4	NUM
ejpam-5613	350	27	sup	sup	NOUN
ejpam-5613	350	28	(	(	PUNCT
ejpam-5613	350	29	t	t	PROPN
ejpam-5613	350	30	,	,	PUNCT
ejpam-5613	350	31	w)∈[u	w)∈[u	PROPN
ejpam-5613	350	32	,	,	PUNCT
ejpam-5613	350	33	b]×[c	b]×[c	PROPN
ejpam-5613	350	34	,	,	PUNCT
ejpam-5613	350	35	v	v	NOUN
ejpam-5613	350	36	]	]	X
ejpam-5613	350	37	|α(t	|α(t	PROPN
ejpam-5613	350	38	,	,	PUNCT
ejpam-5613	350	39	s)|	s)|	NOUN
ejpam-5613	350	40	,	,	PUNCT
ejpam-5613	350	41	(	(	PUNCT
ejpam-5613	350	42	2.16	2.16	NUM
ejpam-5613	350	43	)	)	PUNCT
ejpam-5613	350	44	and∫	and∫	NOUN
ejpam-5613	350	45	u	u	NOUN
ejpam-5613	350	46	a	a	DET
ejpam-5613	350	47	∫	∫	PROPN
ejpam-5613	350	48	v	v	ADP
ejpam-5613	350	49	c	c	NOUN
ejpam-5613	350	50	(	(	PUNCT
ejpam-5613	350	51	t−	t−	PROPN
ejpam-5613	350	52	a)(w	a)(w	ADJ
ejpam-5613	350	53	−	−	ADP
ejpam-5613	350	54	c)|α(t	c)|α(t	PROPN
ejpam-5613	350	55	,	,	PUNCT
ejpam-5613	350	56	w)|dwdt	w)|dwdt	VERB
ejpam-5613	350	57	≤	≤	NUM
ejpam-5613	350	58			NUM
ejpam-5613	351	1	[	[	X
ejpam-5613	351	2	(	(	PUNCT
ejpam-5613	351	3	u−	u−	PROPN
ejpam-5613	351	4	a)(v	a)(v	X
ejpam-5613	351	5	−	−	PROPN
ejpam-5613	352	1	c	c	X
ejpam-5613	352	2	)	)	PUNCT
ejpam-5613	352	3	]	]	PUNCT
ejpam-5613	353	1	∫	∫	PROPN
ejpam-5613	353	2	u	u	PROPN
ejpam-5613	353	3	a	a	DET
ejpam-5613	353	4	∫	∫	PROPN
ejpam-5613	353	5	v	v	NOUN
ejpam-5613	353	6	c	c	NOUN
ejpam-5613	353	7	|α(t	|α(t	PROPN
ejpam-5613	353	8	,	,	PUNCT
ejpam-5613	353	9	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	353	10	,	,	PUNCT
ejpam-5613	353	11	[	[	X
ejpam-5613	353	12	(	(	PUNCT
ejpam-5613	353	13	u−a)(v−c	u−a)(v−c	PROPN
ejpam-5613	353	14	)	)	PUNCT
ejpam-5613	353	15	]	]	PUNCT
ejpam-5613	354	1	1	1	NUM
ejpam-5613	354	2	+	+	SYM
ejpam-5613	354	3	1	1	NUM
ejpam-5613	354	4	q	q	NOUN
ejpam-5613	354	5	(	(	PUNCT
ejpam-5613	354	6	q+1	q+1	NOUN
ejpam-5613	354	7	)	)	PUNCT
ejpam-5613	354	8	2	2	NUM
ejpam-5613	354	9	q	q	NOUN
ejpam-5613	354	10	(	(	PUNCT
ejpam-5613	354	11	∫	∫	PROPN
ejpam-5613	354	12	u	u	PROPN
ejpam-5613	354	13	a	a	DET
ejpam-5613	354	14	∫	∫	PROPN
ejpam-5613	354	15	v	v	NOUN
ejpam-5613	354	16	c	c	NOUN
ejpam-5613	354	17	|α(t	|α(t	PROPN
ejpam-5613	354	18	,	,	PUNCT
ejpam-5613	354	19	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	354	20	)	)	PUNCT
ejpam-5613	354	21	1	1	NUM
ejpam-5613	354	22	p	p	NOUN
ejpam-5613	354	23	,	,	PUNCT
ejpam-5613	354	24	(	(	PUNCT
ejpam-5613	354	25	u−a)2(v−c)2	u−a)2(v−c)2	PROPN
ejpam-5613	354	26	4	4	NUM
ejpam-5613	354	27	sup	sup	NOUN
ejpam-5613	354	28	(	(	PUNCT
ejpam-5613	354	29	t	t	NOUN
ejpam-5613	354	30	,	,	PUNCT
ejpam-5613	354	31	w)∈[a	w)∈[a	NOUN
ejpam-5613	354	32	,	,	PUNCT
ejpam-5613	354	33	u]×[c	u]×[c	PROPN
ejpam-5613	354	34	,	,	PUNCT
ejpam-5613	354	35	v	v	NOUN
ejpam-5613	354	36	]	]	X
ejpam-5613	354	37	|α(t	|α(t	PROPN
ejpam-5613	354	38	,	,	PUNCT
ejpam-5613	354	39	s)|	s)|	NOUN
ejpam-5613	354	40	,	,	PUNCT
ejpam-5613	354	41	(	(	PUNCT
ejpam-5613	354	42	2.17	2.17	NUM
ejpam-5613	354	43	)	)	PUNCT
ejpam-5613	354	44	where	where	SCONJ
ejpam-5613	354	45	p	p	X
ejpam-5613	354	46	,	,	PUNCT
ejpam-5613	354	47	q	q	ADJ
ejpam-5613	354	48	>	>	X
ejpam-5613	354	49	1	1	NUM
ejpam-5613	354	50	with	with	ADP
ejpam-5613	354	51	1	1	NUM
ejpam-5613	354	52	p	p	NOUN
ejpam-5613	354	53	+	+	NOUN
ejpam-5613	354	54	1	1	NUM
ejpam-5613	354	55	q	q	NOUN
ejpam-5613	354	56	=	=	NOUN
ejpam-5613	354	57	1	1	X
ejpam-5613	354	58	.	.	X
ejpam-5613	355	1	using	use	VERB
ejpam-5613	355	2	(	(	PUNCT
ejpam-5613	355	3	2.14)-(2.17	2.14)-(2.17	NUM
ejpam-5613	355	4	)	)	PUNCT
ejpam-5613	355	5	,	,	PUNCT
ejpam-5613	355	6	we	we	PRON
ejpam-5613	355	7	get	get	VERB
ejpam-5613	355	8	the	the	DET
ejpam-5613	355	9	inequalities	inequality	NOUN
ejpam-5613	355	10	(	(	PUNCT
ejpam-5613	355	11	2.12	2.12	NUM
ejpam-5613	355	12	)	)	PUNCT
ejpam-5613	355	13	.	.	PUNCT
ejpam-5613	356	1	proposition	proposition	NOUN
ejpam-5613	356	2	3	3	NUM
ejpam-5613	356	3	.	.	PUNCT
ejpam-5613	356	4	suppose	suppose	VERB
ejpam-5613	356	5	that	that	SCONJ
ejpam-5613	356	6	α	α	PRON
ejpam-5613	356	7	:	:	PUNCT
ejpam-5613	357	1	[	[	X
ejpam-5613	357	2	a	a	X
ejpam-5613	357	3	,	,	PUNCT
ejpam-5613	357	4	b]×	b]×	NOUN
ejpam-5613	357	5	[	[	X
ejpam-5613	357	6	c	c	X
ejpam-5613	357	7	,	,	PUNCT
ejpam-5613	357	8	d	d	X
ejpam-5613	357	9	]	]	X
ejpam-5613	357	10	→	→	SYM
ejpam-5613	357	11	c	c	PROPN
ejpam-5613	357	12	and	and	CCONJ
ejpam-5613	357	13	y	y	NOUN
ejpam-5613	357	14	:	:	PUNCT
ejpam-5613	358	1	[	[	X
ejpam-5613	358	2	a	a	X
ejpam-5613	358	3	,	,	PUNCT
ejpam-5613	358	4	b]×	b]×	NOUN
ejpam-5613	358	5	[	[	X
ejpam-5613	358	6	c	c	X
ejpam-5613	358	7	,	,	PUNCT
ejpam-5613	358	8	d	d	X
ejpam-5613	358	9	]	]	X
ejpam-5613	358	10	→	→	PUNCT
ejpam-5613	358	11	e1	e1	NOUN
ejpam-5613	358	12	×e2	×e2	NOUN
ejpam-5613	358	13	are	be	AUX
ejpam-5613	358	14	as	as	ADV
ejpam-5613	358	15	defined	define	VERB
ejpam-5613	358	16	in	in	ADP
ejpam-5613	358	17	theorem	theorem	NOUN
ejpam-5613	358	18	4	4	NUM
ejpam-5613	358	19	and	and	CCONJ
ejpam-5613	358	20	all	all	DET
ejpam-5613	358	21	the	the	DET
ejpam-5613	358	22	assumptions	assumption	NOUN
ejpam-5613	358	23	of	of	ADP
ejpam-5613	358	24	are	be	AUX
ejpam-5613	358	25	satisified	satisifie	VERB
ejpam-5613	358	26	theorem	theorem	ADJ
ejpam-5613	358	27	4	4	NUM
ejpam-5613	358	28	,	,	PUNCT
ejpam-5613	358	29	then	then	ADV
ejpam-5613	358	30	we	we	PRON
ejpam-5613	358	31	have	have	VERB
ejpam-5613	358	32	the	the	DET
ejpam-5613	358	33	following	follow	VERB
ejpam-5613	358	34	inequalities	inequality	NOUN
ejpam-5613	358	35	hold	hold	VERB
ejpam-5613	358	36	for	for	ADP
ejpam-5613	358	37	all	all	DET
ejpam-5613	358	38	(	(	PUNCT
ejpam-5613	358	39	u	u	NOUN
ejpam-5613	358	40	,	,	PUNCT
ejpam-5613	358	41	v	v	NOUN
ejpam-5613	358	42	)	)	PUNCT
ejpam-5613	358	43	∈	∈	NOUN
ejpam-5613	359	1	[	[	X
ejpam-5613	359	2	a	a	X
ejpam-5613	359	3	,	,	PUNCT
ejpam-5613	359	4	b]×	b]×	NOUN
ejpam-5613	359	5	[	[	X
ejpam-5613	359	6	c	c	X
ejpam-5613	359	7	,	,	PUNCT
ejpam-5613	359	8	d]:∥∥∥∥(∫	d]:∥∥∥∥(∫	PROPN
ejpam-5613	359	9	b	b	NUM
ejpam-5613	359	10	u	u	NOUN
ejpam-5613	359	11	∫	∫	PROPN
ejpam-5613	360	1	d	d	X
ejpam-5613	360	2	v	v	ADP
ejpam-5613	360	3	α	α	PROPN
ejpam-5613	360	4	(	(	PUNCT
ejpam-5613	360	5	s	s	X
ejpam-5613	360	6	,	,	PUNCT
ejpam-5613	360	7	r	r	NOUN
ejpam-5613	360	8	)	)	PUNCT
ejpam-5613	360	9	drds	drd	NOUN
ejpam-5613	360	10	)	)	PUNCT
ejpam-5613	361	1	y	y	PROPN
ejpam-5613	361	2	(	(	PUNCT
ejpam-5613	361	3	b	b	NOUN
ejpam-5613	361	4	,	,	PUNCT
ejpam-5613	361	5	d	d	NOUN
ejpam-5613	361	6	)	)	PUNCT
ejpam-5613	362	1	+	+	CCONJ
ejpam-5613	362	2	(	(	PUNCT
ejpam-5613	362	3	∫	∫	PROPN
ejpam-5613	362	4	u	u	PROPN
ejpam-5613	362	5	a	a	DET
ejpam-5613	362	6	∫	∫	PROPN
ejpam-5613	362	7	d	d	X
ejpam-5613	362	8	v	v	ADP
ejpam-5613	362	9	α	α	PROPN
ejpam-5613	362	10	(	(	PUNCT
ejpam-5613	362	11	s	s	X
ejpam-5613	362	12	,	,	PUNCT
ejpam-5613	362	13	r	r	NOUN
ejpam-5613	362	14	)	)	PUNCT
ejpam-5613	362	15	drds	drd	NOUN
ejpam-5613	362	16	)	)	PUNCT
ejpam-5613	362	17	y	y	PROPN
ejpam-5613	362	18	(	(	PUNCT
ejpam-5613	362	19	a	a	DET
ejpam-5613	362	20	,	,	PUNCT
ejpam-5613	362	21	d	d	NOUN
ejpam-5613	362	22	)	)	PUNCT
ejpam-5613	363	1	+	+	CCONJ
ejpam-5613	363	2	(	(	PUNCT
ejpam-5613	363	3	∫	∫	PROPN
ejpam-5613	363	4	b	b	SYM
ejpam-5613	363	5	u	u	PROPN
ejpam-5613	363	6	∫	∫	PROPN
ejpam-5613	363	7	v	v	X
ejpam-5613	363	8	c	c	PROPN
ejpam-5613	363	9	α	α	PROPN
ejpam-5613	363	10	(	(	PUNCT
ejpam-5613	363	11	s	s	X
ejpam-5613	363	12	,	,	PUNCT
ejpam-5613	363	13	r	r	NOUN
ejpam-5613	363	14	)	)	PUNCT
ejpam-5613	363	15	drds	drd	NOUN
ejpam-5613	363	16	)	)	PUNCT
ejpam-5613	363	17	y	y	PROPN
ejpam-5613	363	18	(	(	PUNCT
ejpam-5613	363	19	b	b	NOUN
ejpam-5613	363	20	,	,	PUNCT
ejpam-5613	363	21	c	c	NOUN
ejpam-5613	363	22	)	)	PUNCT
ejpam-5613	364	1	+	+	CCONJ
ejpam-5613	364	2	(	(	PUNCT
ejpam-5613	364	3	∫	∫	PROPN
ejpam-5613	364	4	u	u	PROPN
ejpam-5613	364	5	a	a	DET
ejpam-5613	364	6	∫	∫	PROPN
ejpam-5613	364	7	v	v	NOUN
ejpam-5613	364	8	c	c	NOUN
ejpam-5613	364	9	α	α	PROPN
ejpam-5613	364	10	(	(	PUNCT
ejpam-5613	364	11	s	s	X
ejpam-5613	364	12	,	,	PUNCT
ejpam-5613	364	13	r	r	NOUN
ejpam-5613	364	14	)	)	PUNCT
ejpam-5613	364	15	drds	drd	NOUN
ejpam-5613	364	16	)	)	PUNCT
ejpam-5613	364	17	y	y	PROPN
ejpam-5613	364	18	(	(	PUNCT
ejpam-5613	364	19	a	a	PRON
ejpam-5613	364	20	,	,	PUNCT
ejpam-5613	364	21	c	c	NOUN
ejpam-5613	364	22	)	)	PUNCT
ejpam-5613	364	23	o.	o.	PROPN
ejpam-5613	364	24	b.	b.	PROPN
ejpam-5613	364	25	almutairi	almutairi	PROPN
ejpam-5613	364	26	,	,	PUNCT
ejpam-5613	364	27	m.	m.	NOUN
ejpam-5613	364	28	a.	a.	PROPN
ejpam-5613	364	29	latif	latif	PROPN
ejpam-5613	364	30	/	/	SYM
ejpam-5613	364	31	eur	eur	PROPN
ejpam-5613	364	32	.	.	PUNCT
ejpam-5613	365	1	j.	j.	PROPN
ejpam-5613	365	2	pure	pure	PROPN
ejpam-5613	365	3	appl	appl	PROPN
ejpam-5613	365	4	.	.	PROPN
ejpam-5613	365	5	math	math	PROPN
ejpam-5613	365	6	,	,	PUNCT
ejpam-5613	365	7	18	18	NUM
ejpam-5613	365	8	(	(	PUNCT
ejpam-5613	365	9	1	1	NUM
ejpam-5613	365	10	)	)	PUNCT
ejpam-5613	365	11	(	(	PUNCT
ejpam-5613	365	12	2025	2025	NUM
ejpam-5613	365	13	)	)	PUNCT
ejpam-5613	365	14	,	,	PUNCT
ejpam-5613	365	15	5608	5608	NUM
ejpam-5613	365	16	16	16	NUM
ejpam-5613	365	17	of	of	ADP
ejpam-5613	365	18	33	33	NUM
ejpam-5613	365	19	−	−	NOUN
ejpam-5613	365	20	∫	∫	PROPN
ejpam-5613	365	21	b	b	PROPN
ejpam-5613	365	22	a	a	DET
ejpam-5613	365	23	y	y	PROPN
ejpam-5613	365	24	(	(	PUNCT
ejpam-5613	365	25	t	t	PROPN
ejpam-5613	365	26	,	,	PUNCT
ejpam-5613	365	27	d	d	NOUN
ejpam-5613	365	28	)	)	PUNCT
ejpam-5613	365	29	(	(	PUNCT
ejpam-5613	365	30	∫	∫	PROPN
ejpam-5613	365	31	d	d	X
ejpam-5613	365	32	v	v	ADP
ejpam-5613	365	33	α	α	PROPN
ejpam-5613	365	34	(	(	PUNCT
ejpam-5613	365	35	t	t	PROPN
ejpam-5613	365	36	,	,	PUNCT
ejpam-5613	365	37	r	r	NOUN
ejpam-5613	365	38	)	)	PUNCT
ejpam-5613	365	39	dr	dr	PROPN
ejpam-5613	365	40	)	)	PUNCT
ejpam-5613	365	41	dt−	dt−	PROPN
ejpam-5613	365	42	∫	∫	PROPN
ejpam-5613	365	43	b	b	PROPN
ejpam-5613	365	44	a	a	DET
ejpam-5613	365	45	y	y	PROPN
ejpam-5613	365	46	(	(	PUNCT
ejpam-5613	365	47	t	t	PROPN
ejpam-5613	365	48	,	,	PUNCT
ejpam-5613	365	49	c	c	NOUN
ejpam-5613	365	50	)	)	PUNCT
ejpam-5613	365	51	(	(	PUNCT
ejpam-5613	365	52	∫	∫	PROPN
ejpam-5613	365	53	v	v	X
ejpam-5613	365	54	c	c	PROPN
ejpam-5613	365	55	α	α	PROPN
ejpam-5613	365	56	(	(	PUNCT
ejpam-5613	365	57	t	t	PROPN
ejpam-5613	365	58	,	,	PUNCT
ejpam-5613	365	59	r	r	NOUN
ejpam-5613	365	60	)	)	PUNCT
ejpam-5613	365	61	dr	dr	PROPN
ejpam-5613	365	62	)	)	PUNCT
ejpam-5613	365	63	dt	dt	PROPN
ejpam-5613	366	1	−	−	PROPN
ejpam-5613	366	2	∫	∫	PROPN
ejpam-5613	367	1	d	d	X
ejpam-5613	367	2	c	c	PROPN
ejpam-5613	367	3	y	y	PROPN
ejpam-5613	367	4	(	(	PUNCT
ejpam-5613	367	5	b	b	PROPN
ejpam-5613	367	6	,	,	PUNCT
ejpam-5613	367	7	w	w	NOUN
ejpam-5613	367	8	)	)	PUNCT
ejpam-5613	367	9	(	(	PUNCT
ejpam-5613	367	10	∫	∫	PROPN
ejpam-5613	367	11	b	b	PROPN
ejpam-5613	367	12	u	u	PROPN
ejpam-5613	367	13	α	α	PROPN
ejpam-5613	367	14	(	(	PUNCT
ejpam-5613	367	15	s	s	PROPN
ejpam-5613	367	16	,	,	PUNCT
ejpam-5613	367	17	w	w	NOUN
ejpam-5613	367	18	)	)	PUNCT
ejpam-5613	367	19	ds	ds	ADJ
ejpam-5613	367	20	)	)	PUNCT
ejpam-5613	367	21	dw	dw	NOUN
ejpam-5613	368	1	−	−	PROPN
ejpam-5613	368	2	∫	∫	PROPN
ejpam-5613	369	1	d	d	X
ejpam-5613	369	2	c	c	PROPN
ejpam-5613	369	3	y	y	PROPN
ejpam-5613	369	4	(	(	PUNCT
ejpam-5613	369	5	a	a	DET
ejpam-5613	369	6	,	,	PUNCT
ejpam-5613	369	7	w	w	NOUN
ejpam-5613	369	8	)	)	PUNCT
ejpam-5613	369	9	(	(	PUNCT
ejpam-5613	369	10	∫	∫	PROPN
ejpam-5613	369	11	u	u	PROPN
ejpam-5613	369	12	a	a	DET
ejpam-5613	369	13	α	α	X
ejpam-5613	369	14	(	(	PUNCT
ejpam-5613	369	15	s	s	PROPN
ejpam-5613	369	16	,	,	PUNCT
ejpam-5613	369	17	w	w	NOUN
ejpam-5613	369	18	)	)	PUNCT
ejpam-5613	369	19	ds	ds	ADJ
ejpam-5613	369	20	)	)	PUNCT
ejpam-5613	369	21	dw	dw	PROPN
ejpam-5613	370	1	+	+	CCONJ
ejpam-5613	370	2	∫	∫	PROPN
ejpam-5613	370	3	b	b	PROPN
ejpam-5613	370	4	a	a	DET
ejpam-5613	370	5	∫	∫	PROPN
ejpam-5613	370	6	d	d	X
ejpam-5613	370	7	c	c	PROPN
ejpam-5613	370	8	α	α	PROPN
ejpam-5613	370	9	(	(	PUNCT
ejpam-5613	370	10	t	t	PROPN
ejpam-5613	370	11	,	,	PUNCT
ejpam-5613	370	12	w)y	w)y	X
ejpam-5613	370	13	(	(	PUNCT
ejpam-5613	370	14	t	t	PROPN
ejpam-5613	370	15	,	,	PUNCT
ejpam-5613	370	16	w	w	NOUN
ejpam-5613	370	17	)	)	PUNCT
ejpam-5613	370	18	dwdt	dwdt	NOUN
ejpam-5613	370	19	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	370	20	e1×e2	e1×e2	VERB
ejpam-5613	370	21	≤	≤	ADJ
ejpam-5613	370	22	sup	sup	NOUN
ejpam-5613	370	23	(	(	PUNCT
ejpam-5613	370	24	t	t	PROPN
ejpam-5613	370	25	,	,	PUNCT
ejpam-5613	370	26	w)∈[a	w)∈[a	NOUN
ejpam-5613	370	27	,	,	PUNCT
ejpam-5613	370	28	b]×[c	b]×[c	PROPN
ejpam-5613	370	29	,	,	PUNCT
ejpam-5613	370	30	d	d	X
ejpam-5613	370	31	]	]	PUNCT
ejpam-5613	370	32	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	371	1	∂2	∂2	NUM
ejpam-5613	371	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	371	3	y	y	PROPN
ejpam-5613	371	4	(	(	PUNCT
ejpam-5613	371	5	t	t	PROPN
ejpam-5613	371	6	,	,	PUNCT
ejpam-5613	371	7	w	w	PROPN
ejpam-5613	371	8	)	)	PUNCT
ejpam-5613	371	9	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	372	1	e1×e2	e1×e2	VERB
ejpam-5613	372	2	×	×	PROPN
ejpam-5613	372	3			NUM
ejpam-5613	372	4	{	{	PUNCT
ejpam-5613	372	5	1	1	NUM
ejpam-5613	372	6	2	2	NUM
ejpam-5613	372	7	(	(	PUNCT
ejpam-5613	372	8	b−	b−	NOUN
ejpam-5613	372	9	a	a	NOUN
ejpam-5613	372	10	)	)	PUNCT
ejpam-5613	373	1	+	+	CCONJ
ejpam-5613	373	2	∣∣u−	∣∣u−	PROPN
ejpam-5613	373	3	a+b	a+b	NUM
ejpam-5613	373	4	2	2	NUM
ejpam-5613	373	5	∣∣	∣∣	NOUN
ejpam-5613	373	6	}	}	PUNCT
ejpam-5613	373	7	{	{	PUNCT
ejpam-5613	373	8	1	1	NUM
ejpam-5613	373	9	2	2	NUM
ejpam-5613	373	10	(	(	PUNCT
ejpam-5613	373	11	d−	d−	PROPN
ejpam-5613	373	12	c	c	PROPN
ejpam-5613	373	13	)	)	PUNCT
ejpam-5613	374	1	+	+	NUM
ejpam-5613	374	2	∣∣v	∣∣v	NOUN
ejpam-5613	374	3	−	−	NOUN
ejpam-5613	374	4	c+d	c+d	PROPN
ejpam-5613	374	5	2	2	NUM
ejpam-5613	374	6	∣∣	∣∣	ADJ
ejpam-5613	374	7	}	}	PUNCT
ejpam-5613	374	8	∫	∫	PROPN
ejpam-5613	374	9	b	b	PROPN
ejpam-5613	374	10	a	a	DET
ejpam-5613	374	11	∫	∫	PROPN
ejpam-5613	374	12	d	d	X
ejpam-5613	374	13	c	c	PROPN
ejpam-5613	374	14	|α(t	|α(t	PROPN
ejpam-5613	374	15	,	,	PUNCT
ejpam-5613	374	16	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	374	17	,	,	PUNCT
ejpam-5613	374	18	[	[	X
ejpam-5613	374	19	(	(	PUNCT
ejpam-5613	374	20	b−u)(d−v)]q+1+[(u−a)(d−v)]q+1+[(b−u)(v−c)]q+1+[(u−a)(v−c)]q+1	b−u)(d−v)]q+1+[(u−a)(d−v)]q+1+[(b−u)(v−c)]q+1+[(u−a)(v−c)]q+1	PROPN
ejpam-5613	374	21	]	]	X
ejpam-5613	374	22	1	1	NUM
ejpam-5613	374	23	q	q	NOUN
ejpam-5613	374	24	(	(	PUNCT
ejpam-5613	374	25	q+1	q+1	NOUN
ejpam-5613	374	26	)	)	PUNCT
ejpam-5613	374	27	2	2	NUM
ejpam-5613	374	28	q	q	NOUN
ejpam-5613	374	29	×	×	NOUN
ejpam-5613	374	30	(	(	PUNCT
ejpam-5613	374	31	∫	∫	PROPN
ejpam-5613	374	32	b	b	PROPN
ejpam-5613	374	33	a	a	DET
ejpam-5613	374	34	∫	∫	PROPN
ejpam-5613	374	35	d	d	X
ejpam-5613	374	36	c	c	PROPN
ejpam-5613	374	37	|α(t	|α(t	PROPN
ejpam-5613	374	38	,	,	PUNCT
ejpam-5613	374	39	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	374	40	)	)	PUNCT
ejpam-5613	374	41	1	1	NUM
ejpam-5613	374	42	p	p	NOUN
ejpam-5613	374	43	,	,	PUNCT
ejpam-5613	374	44	{	{	PUNCT
ejpam-5613	374	45	1	1	NUM
ejpam-5613	374	46	4	4	NUM
ejpam-5613	374	47	(	(	PUNCT
ejpam-5613	374	48	b−	b−	NOUN
ejpam-5613	374	49	a	a	PRON
ejpam-5613	374	50	)	)	PUNCT
ejpam-5613	375	1	+	+	CCONJ
ejpam-5613	375	2	(	(	PUNCT
ejpam-5613	375	3	u−	u−	PROPN
ejpam-5613	375	4	a+b	a+b	NUM
ejpam-5613	375	5	2	2	NUM
ejpam-5613	375	6	)	)	PUNCT
ejpam-5613	375	7	2}{1	2}{1	NUM
ejpam-5613	375	8	4	4	NUM
ejpam-5613	375	9	(	(	PUNCT
ejpam-5613	375	10	d−	d−	PROPN
ejpam-5613	375	11	c	c	PROPN
ejpam-5613	375	12	)	)	PUNCT
ejpam-5613	376	1	+	+	CCONJ
ejpam-5613	376	2	(	(	PUNCT
ejpam-5613	376	3	v	v	NOUN
ejpam-5613	376	4	−	−	NOUN
ejpam-5613	376	5	c+d	c+d	PROPN
ejpam-5613	376	6	2	2	NUM
ejpam-5613	376	7	)	)	SYM
ejpam-5613	376	8	2	2	NUM
ejpam-5613	376	9	}	}	PUNCT
ejpam-5613	376	10	×	×	NOUN
ejpam-5613	376	11	sup	sup	NOUN
ejpam-5613	376	12	(	(	PUNCT
ejpam-5613	376	13	t	t	NOUN
ejpam-5613	376	14	,	,	PUNCT
ejpam-5613	376	15	w)∈[a	w)∈[a	NOUN
ejpam-5613	376	16	,	,	PUNCT
ejpam-5613	376	17	b]×[c	b]×[c	PROPN
ejpam-5613	376	18	,	,	PUNCT
ejpam-5613	376	19	d	d	X
ejpam-5613	376	20	]	]	X
ejpam-5613	376	21	|α(t	|α(t	PROPN
ejpam-5613	376	22	,	,	PUNCT
ejpam-5613	376	23	s)|	s)|	NOUN
ejpam-5613	376	24	,	,	PUNCT
ejpam-5613	376	25	(	(	PUNCT
ejpam-5613	376	26	2.18	2.18	NUM
ejpam-5613	376	27	)	)	PUNCT
ejpam-5613	376	28	where	where	SCONJ
ejpam-5613	376	29	p	p	X
ejpam-5613	376	30	,	,	PUNCT
ejpam-5613	376	31	q	q	ADJ
ejpam-5613	376	32	>	>	X
ejpam-5613	376	33	1	1	NUM
ejpam-5613	376	34	with	with	ADP
ejpam-5613	376	35	1	1	NUM
ejpam-5613	376	36	p	p	NOUN
ejpam-5613	376	37	+	+	NOUN
ejpam-5613	376	38	1	1	NUM
ejpam-5613	376	39	q	q	NOUN
ejpam-5613	376	40	=	=	NOUN
ejpam-5613	376	41	1	1	X
ejpam-5613	376	42	.	.	PUNCT
ejpam-5613	376	43	proof	proof	NOUN
ejpam-5613	376	44	.	.	PUNCT
ejpam-5613	377	1	by	by	ADP
ejpam-5613	377	2	using	use	VERB
ejpam-5613	377	3	the	the	DET
ejpam-5613	377	4	properties	property	NOUN
ejpam-5613	377	5	of	of	ADP
ejpam-5613	377	6	maximum	maximum	ADJ
ejpam-5613	377	7	,	,	PUNCT
ejpam-5613	377	8	from	from	ADP
ejpam-5613	377	9	the	the	DET
ejpam-5613	377	10	first	first	ADJ
ejpam-5613	377	11	part	part	NOUN
ejpam-5613	377	12	of	of	ADP
ejpam-5613	377	13	inequalities	inequality	NOUN
ejpam-5613	377	14	in	in	ADP
ejpam-5613	377	15	(	(	PUNCT
ejpam-5613	377	16	2.12	2.12	NUM
ejpam-5613	377	17	)	)	PUNCT
ejpam-5613	377	18	,	,	PUNCT
ejpam-5613	377	19	we	we	PRON
ejpam-5613	377	20	get	get	VERB
ejpam-5613	377	21	the	the	DET
ejpam-5613	377	22	following	follow	VERB
ejpam-5613	377	23	inequalitity	inequalitity	NOUN
ejpam-5613	377	24	:	:	PUNCT
ejpam-5613	378	1	[	[	X
ejpam-5613	378	2	(	(	PUNCT
ejpam-5613	378	3	b−	b−	PROPN
ejpam-5613	378	4	u)(d−	u)(d−	PROPN
ejpam-5613	378	5	v	v	NOUN
ejpam-5613	378	6	)	)	PUNCT
ejpam-5613	378	7	]	]	PUNCT
ejpam-5613	379	1	∫	∫	PROPN
ejpam-5613	379	2	b	b	X
ejpam-5613	379	3	u	u	PROPN
ejpam-5613	379	4	∫	∫	PROPN
ejpam-5613	379	5	d	d	X
ejpam-5613	379	6	v	v	ADP
ejpam-5613	379	7	|α(t	|α(t	NOUN
ejpam-5613	379	8	,	,	PUNCT
ejpam-5613	379	9	w)|dwdt+	w)|dwdt+	NOUN
ejpam-5613	379	10	[	[	X
ejpam-5613	379	11	(	(	PUNCT
ejpam-5613	379	12	u−	u−	PROPN
ejpam-5613	379	13	a)(d−	a)(d−	PROPN
ejpam-5613	379	14	v	v	NOUN
ejpam-5613	379	15	)	)	PUNCT
ejpam-5613	379	16	]	]	PUNCT
ejpam-5613	380	1	∫	∫	PROPN
ejpam-5613	380	2	u	u	PROPN
ejpam-5613	380	3	a	a	DET
ejpam-5613	380	4	∫	∫	PROPN
ejpam-5613	380	5	d	d	X
ejpam-5613	380	6	v	v	ADP
ejpam-5613	380	7	|α(t	|α(t	NOUN
ejpam-5613	380	8	,	,	PUNCT
ejpam-5613	380	9	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	380	10	+	+	X
ejpam-5613	381	1	[	[	X
ejpam-5613	381	2	(	(	PUNCT
ejpam-5613	381	3	b−	b−	NOUN
ejpam-5613	381	4	u)(v	u)(v	PUNCT
ejpam-5613	381	5	−	−	PROPN
ejpam-5613	381	6	c	c	X
ejpam-5613	381	7	)	)	PUNCT
ejpam-5613	381	8	]	]	PUNCT
ejpam-5613	382	1	∫	∫	PROPN
ejpam-5613	382	2	b	b	SYM
ejpam-5613	382	3	u	u	PROPN
ejpam-5613	382	4	∫	∫	PROPN
ejpam-5613	382	5	v	v	NOUN
ejpam-5613	382	6	c	c	X
ejpam-5613	382	7	|α(t	|α(t	PROPN
ejpam-5613	382	8	,	,	PUNCT
ejpam-5613	382	9	w)|dwdt+	w)|dwdt+	NOUN
ejpam-5613	382	10	[	[	X
ejpam-5613	382	11	(	(	PUNCT
ejpam-5613	382	12	u−	u−	PROPN
ejpam-5613	382	13	a)(v	a)(v	X
ejpam-5613	382	14	−	−	PROPN
ejpam-5613	382	15	c	c	X
ejpam-5613	382	16	)	)	PUNCT
ejpam-5613	382	17	]	]	PUNCT
ejpam-5613	383	1	∫	∫	PROPN
ejpam-5613	383	2	u	u	PROPN
ejpam-5613	383	3	a	a	DET
ejpam-5613	383	4	∫	∫	PROPN
ejpam-5613	383	5	v	v	NOUN
ejpam-5613	383	6	c	c	NOUN
ejpam-5613	383	7	|α(t	|α(t	PROPN
ejpam-5613	383	8	,	,	PUNCT
ejpam-5613	383	9	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	383	10	≤	≤	NUM
ejpam-5613	383	11	max	max	PROPN
ejpam-5613	383	12	{	{	PUNCT
ejpam-5613	383	13	b−	b−	PROPN
ejpam-5613	383	14	u	u	PROPN
ejpam-5613	383	15	,	,	PUNCT
ejpam-5613	383	16	u−	u−	PROPN
ejpam-5613	383	17	a	a	NOUN
ejpam-5613	383	18	}	}	PUNCT
ejpam-5613	383	19	[	[	PUNCT
ejpam-5613	383	20	(	(	PUNCT
ejpam-5613	383	21	d−	d−	PROPN
ejpam-5613	383	22	v	v	NOUN
ejpam-5613	383	23	)	)	PUNCT
ejpam-5613	383	24	∫	∫	PROPN
ejpam-5613	384	1	b	b	SYM
ejpam-5613	384	2	u	u	PROPN
ejpam-5613	384	3	∫	∫	PROPN
ejpam-5613	384	4	d	d	X
ejpam-5613	384	5	v	v	ADP
ejpam-5613	384	6	|α(t	|α(t	PROPN
ejpam-5613	384	7	,	,	PUNCT
ejpam-5613	384	8	w)|dwdt+	w)|dwdt+	NOUN
ejpam-5613	384	9	(	(	PUNCT
ejpam-5613	384	10	d−	d−	PROPN
ejpam-5613	384	11	v	v	NOUN
ejpam-5613	384	12	)	)	PUNCT
ejpam-5613	384	13	∫	∫	PROPN
ejpam-5613	384	14	u	u	PROPN
ejpam-5613	384	15	a	a	DET
ejpam-5613	384	16	∫	∫	PROPN
ejpam-5613	384	17	d	d	X
ejpam-5613	384	18	v	v	ADP
ejpam-5613	384	19	|α(t	|α(t	NOUN
ejpam-5613	384	20	,	,	PUNCT
ejpam-5613	384	21	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	384	22	]	]	PUNCT
ejpam-5613	385	1	+	+	X
ejpam-5613	385	2	max	max	PROPN
ejpam-5613	385	3	{	{	PUNCT
ejpam-5613	385	4	b−	b−	PROPN
ejpam-5613	385	5	u	u	PROPN
ejpam-5613	385	6	,	,	PUNCT
ejpam-5613	385	7	u−	u−	PROPN
ejpam-5613	385	8	a	a	NOUN
ejpam-5613	385	9	}	}	PUNCT
ejpam-5613	385	10	[	[	PUNCT
ejpam-5613	385	11	(	(	PUNCT
ejpam-5613	385	12	v	v	NOUN
ejpam-5613	385	13	−	−	NOUN
ejpam-5613	385	14	c	c	NOUN
ejpam-5613	385	15	)	)	PUNCT
ejpam-5613	385	16	∫	∫	PROPN
ejpam-5613	385	17	b	b	SYM
ejpam-5613	385	18	u	u	PROPN
ejpam-5613	385	19	∫	∫	PROPN
ejpam-5613	385	20	v	v	NOUN
ejpam-5613	385	21	c	c	X
ejpam-5613	385	22	|α(t	|α(t	PROPN
ejpam-5613	385	23	,	,	PUNCT
ejpam-5613	385	24	w)|dwdt+	w)|dwdt+	NOUN
ejpam-5613	385	25	(	(	PUNCT
ejpam-5613	385	26	v	v	NOUN
ejpam-5613	385	27	−	−	NOUN
ejpam-5613	385	28	c	c	NOUN
ejpam-5613	385	29	)	)	PUNCT
ejpam-5613	385	30	∫	∫	PROPN
ejpam-5613	385	31	u	u	PROPN
ejpam-5613	385	32	a	a	DET
ejpam-5613	385	33	∫	∫	PROPN
ejpam-5613	385	34	v	v	NOUN
ejpam-5613	385	35	c	c	NOUN
ejpam-5613	385	36	|α(t	|α(t	PROPN
ejpam-5613	385	37	,	,	PUNCT
ejpam-5613	385	38	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	385	39	]	]	PUNCT
ejpam-5613	385	40	=	=	SYM
ejpam-5613	385	41	max	max	X
ejpam-5613	385	42	{	{	PUNCT
ejpam-5613	385	43	b−	b−	PROPN
ejpam-5613	385	44	u	u	PROPN
ejpam-5613	385	45	,	,	PUNCT
ejpam-5613	385	46	u−	u−	PROPN
ejpam-5613	385	47	a	a	X
ejpam-5613	385	48	}	}	PUNCT
ejpam-5613	385	49	{	{	PUNCT
ejpam-5613	385	50	(	(	PUNCT
ejpam-5613	385	51	d−	d−	PROPN
ejpam-5613	385	52	v	v	NOUN
ejpam-5613	385	53	)	)	PUNCT
ejpam-5613	385	54	∫	∫	PROPN
ejpam-5613	385	55	b	b	PROPN
ejpam-5613	385	56	a	a	DET
ejpam-5613	385	57	∫	∫	PROPN
ejpam-5613	385	58	d	d	X
ejpam-5613	385	59	v	v	ADP
ejpam-5613	385	60	|α(t	|α(t	NOUN
ejpam-5613	385	61	,	,	PUNCT
ejpam-5613	385	62	w)|dwdt+	w)|dwdt+	NOUN
ejpam-5613	385	63	(	(	PUNCT
ejpam-5613	385	64	v	v	NOUN
ejpam-5613	385	65	−	−	NOUN
ejpam-5613	385	66	c	c	NOUN
ejpam-5613	385	67	)	)	PUNCT
ejpam-5613	385	68	∫	∫	PROPN
ejpam-5613	385	69	b	b	PROPN
ejpam-5613	385	70	a	a	DET
ejpam-5613	385	71	∫	∫	PROPN
ejpam-5613	385	72	v	v	NOUN
ejpam-5613	385	73	c	c	NOUN
ejpam-5613	385	74	|α(t	|α(t	PROPN
ejpam-5613	385	75	,	,	PUNCT
ejpam-5613	385	76	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	385	77	}	}	PUNCT
ejpam-5613	385	78	≤	≤	NUM
ejpam-5613	385	79	max	max	PROPN
ejpam-5613	385	80	{	{	PUNCT
ejpam-5613	385	81	b−	b−	PROPN
ejpam-5613	385	82	u	u	PROPN
ejpam-5613	385	83	,	,	PUNCT
ejpam-5613	385	84	u−	u−	PROPN
ejpam-5613	385	85	a}max	a}max	PROPN
ejpam-5613	385	86	{	{	PUNCT
ejpam-5613	385	87	d−	d−	PROPN
ejpam-5613	385	88	v	v	PROPN
ejpam-5613	385	89	,	,	PUNCT
ejpam-5613	385	90	v	v	ADP
ejpam-5613	385	91	−	−	PROPN
ejpam-5613	385	92	c	c	NOUN
ejpam-5613	385	93	}	}	PUNCT
ejpam-5613	385	94	∫	∫	PROPN
ejpam-5613	385	95	b	b	PROPN
ejpam-5613	385	96	a	a	DET
ejpam-5613	385	97	∫	∫	PROPN
ejpam-5613	385	98	d	d	X
ejpam-5613	385	99	c	c	PROPN
ejpam-5613	385	100	|α(t	|α(t	PROPN
ejpam-5613	385	101	,	,	PUNCT
ejpam-5613	385	102	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	385	103	.	.	PUNCT
ejpam-5613	386	1	(	(	PUNCT
ejpam-5613	386	2	2.19	2.19	NUM
ejpam-5613	386	3	)	)	PUNCT
ejpam-5613	386	4	since	since	SCONJ
ejpam-5613	386	5	max	max	PROPN
ejpam-5613	386	6	{	{	PUNCT
ejpam-5613	386	7	x−	x−	PROPN
ejpam-5613	386	8	z	z	PROPN
ejpam-5613	386	9	,	,	PUNCT
ejpam-5613	386	10	y	y	PROPN
ejpam-5613	386	11	−	−	PROPN
ejpam-5613	386	12	z	z	X
ejpam-5613	386	13	}	}	PUNCT
ejpam-5613	386	14	=	=	SYM
ejpam-5613	386	15	1	1	NUM
ejpam-5613	386	16	2	2	NUM
ejpam-5613	386	17	(	(	PUNCT
ejpam-5613	386	18	y	y	PROPN
ejpam-5613	386	19	−	−	PROPN
ejpam-5613	386	20	x	x	NOUN
ejpam-5613	386	21	)	)	PUNCT
ejpam-5613	386	22	+	+	CCONJ
ejpam-5613	386	23	∣∣∣∣z	∣∣∣∣z	NOUN
ejpam-5613	386	24	−	−	PROPN
ejpam-5613	386	25	x+	x+	ADJ
ejpam-5613	386	26	y	y	PROPN
ejpam-5613	386	27	2	2	NUM
ejpam-5613	386	28	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	386	29	,	,	PUNCT
ejpam-5613	386	30	o.	o.	PROPN
ejpam-5613	386	31	b.	b.	PROPN
ejpam-5613	386	32	almutairi	almutairi	PROPN
ejpam-5613	386	33	,	,	PUNCT
ejpam-5613	386	34	m.	m.	NOUN
ejpam-5613	386	35	a.	a.	PROPN
ejpam-5613	386	36	latif	latif	PROPN
ejpam-5613	386	37	/	/	SYM
ejpam-5613	386	38	eur	eur	PROPN
ejpam-5613	386	39	.	.	PUNCT
ejpam-5613	387	1	j.	j.	PROPN
ejpam-5613	387	2	pure	pure	PROPN
ejpam-5613	387	3	appl	appl	PROPN
ejpam-5613	387	4	.	.	PROPN
ejpam-5613	387	5	math	math	PROPN
ejpam-5613	387	6	,	,	PUNCT
ejpam-5613	387	7	18	18	NUM
ejpam-5613	387	8	(	(	PUNCT
ejpam-5613	387	9	1	1	NUM
ejpam-5613	387	10	)	)	PUNCT
ejpam-5613	387	11	(	(	PUNCT
ejpam-5613	387	12	2025	2025	NUM
ejpam-5613	387	13	)	)	PUNCT
ejpam-5613	387	14	,	,	PUNCT
ejpam-5613	387	15	5608	5608	NUM
ejpam-5613	387	16	17	17	NUM
ejpam-5613	387	17	of	of	ADP
ejpam-5613	387	18	33	33	NUM
ejpam-5613	387	19	for	for	ADP
ejpam-5613	387	20	any	any	DET
ejpam-5613	387	21	real	real	ADJ
ejpam-5613	387	22	numbers	number	NOUN
ejpam-5613	387	23	x	x	NOUN
ejpam-5613	387	24	,	,	PUNCT
ejpam-5613	387	25	y	y	PROPN
ejpam-5613	387	26	and	and	CCONJ
ejpam-5613	387	27	z.	z.	PROPN
ejpam-5613	388	1	thus	thus	ADV
ejpam-5613	388	2	,	,	PUNCT
ejpam-5613	388	3	we	we	PRON
ejpam-5613	388	4	get	get	VERB
ejpam-5613	388	5	from	from	ADP
ejpam-5613	388	6	(	(	PUNCT
ejpam-5613	388	7	2.19	2.19	NUM
ejpam-5613	388	8	)	)	PUNCT
ejpam-5613	389	1	[	[	X
ejpam-5613	389	2	(	(	PUNCT
ejpam-5613	389	3	b−	b−	PROPN
ejpam-5613	389	4	u)(d−	u)(d−	PROPN
ejpam-5613	389	5	v	v	NOUN
ejpam-5613	389	6	)	)	PUNCT
ejpam-5613	389	7	]	]	PUNCT
ejpam-5613	390	1	∫	∫	PROPN
ejpam-5613	390	2	b	b	X
ejpam-5613	390	3	u	u	PROPN
ejpam-5613	390	4	∫	∫	PROPN
ejpam-5613	390	5	d	d	X
ejpam-5613	390	6	v	v	ADP
ejpam-5613	390	7	|α(t	|α(t	NOUN
ejpam-5613	390	8	,	,	PUNCT
ejpam-5613	390	9	w)|dwdt+	w)|dwdt+	NOUN
ejpam-5613	390	10	[	[	X
ejpam-5613	390	11	(	(	PUNCT
ejpam-5613	390	12	u−	u−	PROPN
ejpam-5613	390	13	a)(d−	a)(d−	PROPN
ejpam-5613	390	14	v	v	NOUN
ejpam-5613	390	15	)	)	PUNCT
ejpam-5613	390	16	]	]	PUNCT
ejpam-5613	391	1	∫	∫	PROPN
ejpam-5613	391	2	u	u	PROPN
ejpam-5613	391	3	a	a	DET
ejpam-5613	391	4	∫	∫	PROPN
ejpam-5613	391	5	d	d	X
ejpam-5613	391	6	v	v	ADP
ejpam-5613	391	7	|α(t	|α(t	NOUN
ejpam-5613	391	8	,	,	PUNCT
ejpam-5613	391	9	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	391	10	+	+	X
ejpam-5613	392	1	[	[	X
ejpam-5613	392	2	(	(	PUNCT
ejpam-5613	392	3	b−	b−	NOUN
ejpam-5613	392	4	u)(v	u)(v	PUNCT
ejpam-5613	392	5	−	−	PROPN
ejpam-5613	392	6	c	c	X
ejpam-5613	392	7	)	)	PUNCT
ejpam-5613	392	8	]	]	PUNCT
ejpam-5613	393	1	∫	∫	PROPN
ejpam-5613	393	2	b	b	SYM
ejpam-5613	393	3	u	u	PROPN
ejpam-5613	393	4	∫	∫	PROPN
ejpam-5613	393	5	v	v	NOUN
ejpam-5613	393	6	c	c	X
ejpam-5613	393	7	|α(t	|α(t	PROPN
ejpam-5613	393	8	,	,	PUNCT
ejpam-5613	393	9	w)|dwdt+	w)|dwdt+	NOUN
ejpam-5613	393	10	[	[	X
ejpam-5613	393	11	(	(	PUNCT
ejpam-5613	393	12	u−	u−	PROPN
ejpam-5613	393	13	a)(v	a)(v	X
ejpam-5613	393	14	−	−	PROPN
ejpam-5613	393	15	c	c	X
ejpam-5613	393	16	)	)	PUNCT
ejpam-5613	393	17	]	]	PUNCT
ejpam-5613	394	1	∫	∫	PROPN
ejpam-5613	394	2	u	u	PROPN
ejpam-5613	394	3	a	a	DET
ejpam-5613	394	4	∫	∫	PROPN
ejpam-5613	394	5	v	v	NOUN
ejpam-5613	394	6	c	c	NOUN
ejpam-5613	394	7	|α(t	|α(t	PROPN
ejpam-5613	394	8	,	,	PUNCT
ejpam-5613	394	9	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	394	10	≤	≤	NOUN
ejpam-5613	394	11	{	{	PUNCT
ejpam-5613	394	12	1	1	NUM
ejpam-5613	394	13	2	2	NUM
ejpam-5613	394	14	(	(	PUNCT
ejpam-5613	394	15	b−	b−	NOUN
ejpam-5613	394	16	a	a	NOUN
ejpam-5613	394	17	)	)	PUNCT
ejpam-5613	395	1	+	+	CCONJ
ejpam-5613	395	2	∣∣∣∣u−	∣∣∣∣u−	INTJ
ejpam-5613	395	3	a+	a+	PUNCT
ejpam-5613	396	1	b	b	NOUN
ejpam-5613	396	2	2	2	NUM
ejpam-5613	396	3	∣∣∣∣}{1	∣∣∣∣}{1	NUM
ejpam-5613	396	4	2	2	NUM
ejpam-5613	396	5	(	(	PUNCT
ejpam-5613	396	6	d−	d−	PROPN
ejpam-5613	396	7	c	c	PROPN
ejpam-5613	396	8	)	)	PUNCT
ejpam-5613	397	1	+	+	CCONJ
ejpam-5613	397	2	∣∣∣∣v	∣∣∣∣v	ADJ
ejpam-5613	397	3	−	−	NOUN
ejpam-5613	397	4	c+	c+	NOUN
ejpam-5613	397	5	d	d	NOUN
ejpam-5613	397	6	2	2	NUM
ejpam-5613	397	7	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	397	8	}	}	PUNCT
ejpam-5613	397	9	∫	∫	PROPN
ejpam-5613	397	10	b	b	PROPN
ejpam-5613	397	11	a	a	DET
ejpam-5613	397	12	∫	∫	PROPN
ejpam-5613	397	13	d	d	X
ejpam-5613	397	14	c	c	PROPN
ejpam-5613	397	15	|α(t	|α(t	PROPN
ejpam-5613	397	16	,	,	PUNCT
ejpam-5613	397	17	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	397	18	.	.	PUNCT
ejpam-5613	398	1	(	(	PUNCT
ejpam-5613	398	2	2.20	2.20	NUM
ejpam-5613	398	3	)	)	PUNCT
ejpam-5613	398	4	hence	hence	ADV
ejpam-5613	398	5	,	,	PUNCT
ejpam-5613	398	6	the	the	DET
ejpam-5613	398	7	first	first	ADJ
ejpam-5613	398	8	part	part	NOUN
ejpam-5613	398	9	in	in	ADP
ejpam-5613	398	10	the	the	DET
ejpam-5613	398	11	inequalities	inequality	NOUN
ejpam-5613	398	12	(	(	PUNCT
ejpam-5613	398	13	2.18	2.18	NUM
ejpam-5613	398	14	)	)	PUNCT
ejpam-5613	398	15	is	be	AUX
ejpam-5613	398	16	proved	prove	VERB
ejpam-5613	398	17	.	.	PUNCT
ejpam-5613	399	1	by	by	ADP
ejpam-5613	399	2	the	the	DET
ejpam-5613	399	3	elementary	elementary	ADJ
ejpam-5613	399	4	inequality	inequality	NOUN
ejpam-5613	399	5	x1x2	x1x2	PUNCT
ejpam-5613	400	1	+	+	CCONJ
ejpam-5613	400	2	x3x4	x3x4	PUNCT
ejpam-5613	401	1	+	+	CCONJ
ejpam-5613	401	2	x5x6	x5x6	PROPN
ejpam-5613	402	1	+	+	NUM
ejpam-5613	402	2	x7x8	x7x8	X
ejpam-5613	402	3	≤	≤	NOUN
ejpam-5613	402	4	(	(	PUNCT
ejpam-5613	402	5	xp1	xp1	PROPN
ejpam-5613	402	6	+	+	CCONJ
ejpam-5613	402	7	xp3	xp3	PROPN
ejpam-5613	402	8	+	+	CCONJ
ejpam-5613	402	9	xp5	xp5	PROPN
ejpam-5613	403	1	+	+	CCONJ
ejpam-5613	403	2	xp7	xp7	PROPN
ejpam-5613	403	3	)	)	PUNCT
ejpam-5613	404	1	1	1	NUM
ejpam-5613	404	2	p	p	NOUN
ejpam-5613	404	3	(	(	PUNCT
ejpam-5613	404	4	xq2	xq2	PROPN
ejpam-5613	404	5	+	+	SYM
ejpam-5613	404	6	xq4	xq4	NOUN
ejpam-5613	404	7	+	+	CCONJ
ejpam-5613	404	8	xq6	xq6	NOUN
ejpam-5613	404	9	+	+	CCONJ
ejpam-5613	404	10	xq8	xq8	NOUN
ejpam-5613	404	11	)	)	PUNCT
ejpam-5613	404	12	1	1	NUM
ejpam-5613	404	13	q	q	NOUN
ejpam-5613	404	14	,	,	PUNCT
ejpam-5613	404	15	for	for	ADP
ejpam-5613	404	16	x1	x1	PROPN
ejpam-5613	404	17	,	,	PUNCT
ejpam-5613	404	18	x2	x2	PROPN
ejpam-5613	404	19	,	,	PUNCT
ejpam-5613	404	20	x3	x3	ADJ
ejpam-5613	404	21	,	,	PUNCT
ejpam-5613	404	22	x3	x3	ADJ
ejpam-5613	404	23	,	,	PUNCT
ejpam-5613	404	24	x5	x5	NOUN
ejpam-5613	404	25	,	,	PUNCT
ejpam-5613	404	26	x6	x6	PROPN
ejpam-5613	404	27	,	,	PUNCT
ejpam-5613	404	28	x7	x7	NOUN
ejpam-5613	404	29	,	,	PUNCT
ejpam-5613	404	30	x8	x8	PROPN
ejpam-5613	404	31	≥	≥	NUM
ejpam-5613	404	32	0	0	NUM
ejpam-5613	404	33	,	,	PUNCT
ejpam-5613	404	34	p	p	X
ejpam-5613	404	35	,	,	PUNCT
ejpam-5613	404	36	q	q	X
ejpam-5613	404	37	>	>	X
ejpam-5613	404	38	1	1	NUM
ejpam-5613	404	39	with	with	ADP
ejpam-5613	404	40	1	1	NUM
ejpam-5613	404	41	p	p	NOUN
ejpam-5613	404	42	+	+	NOUN
ejpam-5613	404	43	1	1	NUM
ejpam-5613	404	44	q	q	NOUN
ejpam-5613	404	45	=	=	SYM
ejpam-5613	404	46	1	1	NUM
ejpam-5613	404	47	,	,	PUNCT
ejpam-5613	404	48	we	we	PRON
ejpam-5613	404	49	obtain	obtain	VERB
ejpam-5613	404	50	the	the	DET
ejpam-5613	404	51	following	follow	VERB
ejpam-5613	404	52	inequality	inequality	NOUN
ejpam-5613	404	53	,	,	PUNCT
ejpam-5613	404	54	from	from	ADP
ejpam-5613	404	55	the	the	DET
ejpam-5613	404	56	second	second	ADJ
ejpam-5613	404	57	part	part	NOUN
ejpam-5613	404	58	of	of	ADP
ejpam-5613	404	59	the	the	DET
ejpam-5613	404	60	inequality	inequality	NOUN
ejpam-5613	404	61	(	(	PUNCT
ejpam-5613	404	62	2.12	2.12	NUM
ejpam-5613	404	63	):	):	PUNCT
ejpam-5613	405	1	[	[	X
ejpam-5613	405	2	(	(	PUNCT
ejpam-5613	405	3	b−	b−	PROPN
ejpam-5613	405	4	u)(d−	u)(d−	PROPN
ejpam-5613	405	5	v	v	NOUN
ejpam-5613	405	6	)	)	PUNCT
ejpam-5613	405	7	]	]	PUNCT
ejpam-5613	405	8	1	1	NUM
ejpam-5613	405	9	+	+	SYM
ejpam-5613	405	10	1	1	NUM
ejpam-5613	405	11	q	q	NOUN
ejpam-5613	405	12	(	(	PUNCT
ejpam-5613	405	13	∫	∫	PROPN
ejpam-5613	405	14	b	b	PROPN
ejpam-5613	405	15	u	u	PROPN
ejpam-5613	405	16	∫	∫	PROPN
ejpam-5613	405	17	d	d	X
ejpam-5613	405	18	v	v	ADP
ejpam-5613	405	19	|α(t	|α(t	PROPN
ejpam-5613	405	20	,	,	PUNCT
ejpam-5613	405	21	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	405	22	)	)	PUNCT
ejpam-5613	405	23	1	1	NUM
ejpam-5613	405	24	p	p	NOUN
ejpam-5613	405	25	+	+	X
ejpam-5613	406	1	[	[	X
ejpam-5613	406	2	(	(	PUNCT
ejpam-5613	406	3	u−	u−	PROPN
ejpam-5613	406	4	a)(d−	a)(d−	PROPN
ejpam-5613	406	5	v	v	NOUN
ejpam-5613	406	6	)	)	PUNCT
ejpam-5613	406	7	]	]	PUNCT
ejpam-5613	406	8	1	1	NUM
ejpam-5613	406	9	+	+	SYM
ejpam-5613	406	10	1	1	NUM
ejpam-5613	406	11	q	q	NOUN
ejpam-5613	406	12	(	(	PUNCT
ejpam-5613	406	13	∫	∫	PROPN
ejpam-5613	406	14	u	u	PROPN
ejpam-5613	406	15	a	a	DET
ejpam-5613	406	16	∫	∫	PROPN
ejpam-5613	406	17	d	d	X
ejpam-5613	406	18	v	v	ADP
ejpam-5613	406	19	|α(t	|α(t	PROPN
ejpam-5613	406	20	,	,	PUNCT
ejpam-5613	406	21	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	406	22	)	)	PUNCT
ejpam-5613	406	23	1	1	NUM
ejpam-5613	407	1	p	p	NOUN
ejpam-5613	407	2	+	+	X
ejpam-5613	408	1	[	[	X
ejpam-5613	408	2	(	(	PUNCT
ejpam-5613	408	3	b−	b−	NOUN
ejpam-5613	408	4	u)(v	u)(v	PUNCT
ejpam-5613	408	5	−	−	PROPN
ejpam-5613	408	6	c	c	X
ejpam-5613	408	7	)	)	PUNCT
ejpam-5613	408	8	]	]	PUNCT
ejpam-5613	409	1	1	1	NUM
ejpam-5613	409	2	+	+	SYM
ejpam-5613	409	3	1	1	NUM
ejpam-5613	409	4	q	q	NOUN
ejpam-5613	409	5	(	(	PUNCT
ejpam-5613	409	6	∫	∫	PROPN
ejpam-5613	409	7	b	b	SYM
ejpam-5613	409	8	u	u	PROPN
ejpam-5613	409	9	∫	∫	PROPN
ejpam-5613	409	10	v	v	NOUN
ejpam-5613	409	11	c	c	X
ejpam-5613	409	12	|α(t	|α(t	PROPN
ejpam-5613	409	13	,	,	PUNCT
ejpam-5613	409	14	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	409	15	)	)	PUNCT
ejpam-5613	409	16	1	1	NUM
ejpam-5613	410	1	p	p	NOUN
ejpam-5613	410	2	+	+	X
ejpam-5613	411	1	[	[	X
ejpam-5613	411	2	(	(	PUNCT
ejpam-5613	411	3	u−	u−	PROPN
ejpam-5613	411	4	a)(v	a)(v	X
ejpam-5613	411	5	−	−	PROPN
ejpam-5613	412	1	c	c	X
ejpam-5613	412	2	)	)	PUNCT
ejpam-5613	412	3	]	]	PUNCT
ejpam-5613	413	1	1	1	NUM
ejpam-5613	413	2	+	+	SYM
ejpam-5613	413	3	1	1	NUM
ejpam-5613	413	4	q	q	NOUN
ejpam-5613	413	5	(	(	PUNCT
ejpam-5613	413	6	∫	∫	PROPN
ejpam-5613	413	7	u	u	PROPN
ejpam-5613	413	8	a	a	DET
ejpam-5613	413	9	∫	∫	PROPN
ejpam-5613	413	10	v	v	NOUN
ejpam-5613	413	11	c	c	NOUN
ejpam-5613	413	12	|α(t	|α(t	PROPN
ejpam-5613	413	13	,	,	PUNCT
ejpam-5613	413	14	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	413	15	)	)	PUNCT
ejpam-5613	413	16	1	1	NUM
ejpam-5613	413	17	p	p	NOUN
ejpam-5613	413	18	≤	≤	NOUN
ejpam-5613	413	19	[	[	PUNCT
ejpam-5613	413	20	(	(	PUNCT
ejpam-5613	413	21	b−	b−	PROPN
ejpam-5613	413	22	u)(d−	u)(d−	PROPN
ejpam-5613	413	23	v)]q+1	v)]q+1	PROPN
ejpam-5613	414	1	+	+	PROPN
ejpam-5613	414	2	[	[	X
ejpam-5613	414	3	(	(	PUNCT
ejpam-5613	414	4	u−	u−	PROPN
ejpam-5613	414	5	a)(d−	a)(d−	PROPN
ejpam-5613	414	6	v)]q+1	v)]q+1	PROPN
ejpam-5613	415	1	+	+	CCONJ
ejpam-5613	416	1	[	[	X
ejpam-5613	416	2	(	(	PUNCT
ejpam-5613	416	3	b−	b−	PROPN
ejpam-5613	416	4	u)(v	u)(v	PUNCT
ejpam-5613	416	5	−	−	PROPN
ejpam-5613	416	6	c)]q+1	c)]q+1	PROPN
ejpam-5613	417	1	+	+	PUNCT
ejpam-5613	417	2	[	[	X
ejpam-5613	417	3	(	(	PUNCT
ejpam-5613	417	4	u−	u−	PROPN
ejpam-5613	417	5	a)(v	a)(v	NOUN
ejpam-5613	417	6	−	−	PROPN
ejpam-5613	418	1	c)]q+1	c)]q+1	X
ejpam-5613	418	2	]	]	PUNCT
ejpam-5613	419	1	1	1	NUM
ejpam-5613	419	2	q	q	NOUN
ejpam-5613	419	3	×	×	NOUN
ejpam-5613	420	1	[	[	X
ejpam-5613	420	2	∫	∫	PROPN
ejpam-5613	420	3	b	b	X
ejpam-5613	420	4	u	u	PROPN
ejpam-5613	420	5	∫	∫	PROPN
ejpam-5613	420	6	d	d	X
ejpam-5613	420	7	v	v	ADP
ejpam-5613	420	8	|α(t	|α(t	NOUN
ejpam-5613	420	9	,	,	PUNCT
ejpam-5613	420	10	w)|pdwdt+	w)|pdwdt+	PROPN
ejpam-5613	420	11	∫	∫	PROPN
ejpam-5613	420	12	u	u	PROPN
ejpam-5613	420	13	a	a	DET
ejpam-5613	420	14	∫	∫	PROPN
ejpam-5613	420	15	d	d	X
ejpam-5613	420	16	v	v	ADP
ejpam-5613	420	17	|α(t	|α(t	NOUN
ejpam-5613	420	18	,	,	PUNCT
ejpam-5613	420	19	w)|pdwdt+	w)|pdwdt+	PROPN
ejpam-5613	420	20	∫	∫	PROPN
ejpam-5613	420	21	b	b	X
ejpam-5613	420	22	u	u	NOUN
ejpam-5613	420	23	∫	∫	PROPN
ejpam-5613	420	24	v	v	NOUN
ejpam-5613	420	25	c	c	X
ejpam-5613	420	26	|α(t	|α(t	PROPN
ejpam-5613	420	27	,	,	PUNCT
ejpam-5613	420	28	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	420	29	+	+	CCONJ
ejpam-5613	420	30	∫	∫	PROPN
ejpam-5613	420	31	u	u	PROPN
ejpam-5613	420	32	a	a	DET
ejpam-5613	420	33	∫	∫	PROPN
ejpam-5613	420	34	v	v	NOUN
ejpam-5613	420	35	c	c	NOUN
ejpam-5613	420	36	|α(t	|α(t	PROPN
ejpam-5613	420	37	,	,	PUNCT
ejpam-5613	420	38	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	420	39	]	]	PUNCT
ejpam-5613	420	40	1	1	NUM
ejpam-5613	420	41	p	p	NOUN
ejpam-5613	420	42	≤	≤	NOUN
ejpam-5613	420	43	[	[	PUNCT
ejpam-5613	420	44	(	(	PUNCT
ejpam-5613	420	45	b−	b−	PROPN
ejpam-5613	420	46	u)(d−	u)(d−	PROPN
ejpam-5613	420	47	v)]q+1	v)]q+1	PROPN
ejpam-5613	421	1	+	+	CCONJ
ejpam-5613	422	1	[	[	X
ejpam-5613	422	2	(	(	PUNCT
ejpam-5613	422	3	u−	u−	PROPN
ejpam-5613	422	4	a)(d−	a)(d−	PROPN
ejpam-5613	422	5	v)]q+1	v)]q+1	PROPN
ejpam-5613	423	1	+	+	PROPN
ejpam-5613	423	2	[	[	X
ejpam-5613	423	3	(	(	PUNCT
ejpam-5613	423	4	b−	b−	PROPN
ejpam-5613	423	5	u)(v	u)(v	PUNCT
ejpam-5613	423	6	−	−	PROPN
ejpam-5613	423	7	c)]q+1	c)]q+1	PROPN
ejpam-5613	424	1	+	+	PUNCT
ejpam-5613	424	2	[	[	X
ejpam-5613	424	3	(	(	PUNCT
ejpam-5613	424	4	u−	u−	PROPN
ejpam-5613	424	5	a)(v	a)(v	NOUN
ejpam-5613	424	6	−	−	PROPN
ejpam-5613	425	1	c)]q+1	c)]q+1	X
ejpam-5613	425	2	]	]	PUNCT
ejpam-5613	425	3	1	1	NUM
ejpam-5613	425	4	q	q	NOUN
ejpam-5613	425	5	(	(	PUNCT
ejpam-5613	425	6	∫	∫	PROPN
ejpam-5613	425	7	b	b	PROPN
ejpam-5613	425	8	a	a	DET
ejpam-5613	425	9	∫	∫	PROPN
ejpam-5613	425	10	d	d	X
ejpam-5613	425	11	c	c	PROPN
ejpam-5613	425	12	|α(t	|α(t	PROPN
ejpam-5613	425	13	,	,	PUNCT
ejpam-5613	425	14	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	425	15	)	)	PUNCT
ejpam-5613	425	16	1	1	NUM
ejpam-5613	425	17	p	p	NOUN
ejpam-5613	425	18	,	,	PUNCT
ejpam-5613	425	19	(	(	PUNCT
ejpam-5613	425	20	2.21	2.21	NUM
ejpam-5613	425	21	)	)	PUNCT
ejpam-5613	425	22	where	where	SCONJ
ejpam-5613	425	23	p	p	X
ejpam-5613	425	24	,	,	PUNCT
ejpam-5613	425	25	q	q	ADJ
ejpam-5613	425	26	>	>	X
ejpam-5613	425	27	1	1	NUM
ejpam-5613	425	28	with	with	ADP
ejpam-5613	425	29	1	1	NUM
ejpam-5613	425	30	p	p	NOUN
ejpam-5613	425	31	+	+	NOUN
ejpam-5613	425	32	1	1	NUM
ejpam-5613	425	33	q	q	NOUN
ejpam-5613	425	34	=	=	ADJ
ejpam-5613	425	35	1	1	NUM
ejpam-5613	425	36	.	.	PUNCT
ejpam-5613	426	1	thus	thus	ADV
ejpam-5613	426	2	,	,	PUNCT
ejpam-5613	426	3	the	the	DET
ejpam-5613	426	4	second	second	ADJ
ejpam-5613	426	5	part	part	NOUN
ejpam-5613	426	6	in	in	ADP
ejpam-5613	426	7	the	the	DET
ejpam-5613	426	8	inequalities	inequality	NOUN
ejpam-5613	426	9	(	(	PUNCT
ejpam-5613	426	10	2.18	2.18	NUM
ejpam-5613	426	11	)	)	PUNCT
ejpam-5613	426	12	is	be	AUX
ejpam-5613	426	13	established	establish	VERB
ejpam-5613	426	14	.	.	PUNCT
ejpam-5613	427	1	now	now	ADV
ejpam-5613	427	2	,	,	PUNCT
ejpam-5613	427	3	from	from	ADP
ejpam-5613	427	4	the	the	DET
ejpam-5613	427	5	last	last	ADJ
ejpam-5613	427	6	part	part	NOUN
ejpam-5613	427	7	of	of	ADP
ejpam-5613	427	8	the	the	DET
ejpam-5613	427	9	inequalities	inequality	NOUN
ejpam-5613	427	10	in	in	ADP
ejpam-5613	427	11	(	(	PUNCT
ejpam-5613	427	12	2.12	2.12	NUM
ejpam-5613	427	13	)	)	PUNCT
ejpam-5613	427	14	,	,	PUNCT
ejpam-5613	427	15	we	we	PRON
ejpam-5613	427	16	observe	observe	VERB
ejpam-5613	427	17	that	that	SCONJ
ejpam-5613	427	18	the	the	DET
ejpam-5613	427	19	following	follow	VERB
ejpam-5613	427	20	inequality	inequality	NOUN
ejpam-5613	427	21	holds	hold	VERB
ejpam-5613	427	22	:	:	PUNCT
ejpam-5613	427	23	(	(	PUNCT
ejpam-5613	427	24	b−	b−	NOUN
ejpam-5613	427	25	u)2(d−	u)2(d−	PROPN
ejpam-5613	427	26	v)2	v)2	PROPN
ejpam-5613	427	27	4	4	NUM
ejpam-5613	427	28	sup	sup	NOUN
ejpam-5613	427	29	(	(	PUNCT
ejpam-5613	427	30	t	t	PROPN
ejpam-5613	427	31	,	,	PUNCT
ejpam-5613	427	32	w)∈[u	w)∈[u	NOUN
ejpam-5613	427	33	,	,	PUNCT
ejpam-5613	427	34	b]×[v	b]×[v	PROPN
ejpam-5613	427	35	,	,	PUNCT
ejpam-5613	427	36	d	d	X
ejpam-5613	427	37	]	]	X
ejpam-5613	427	38	|α(t	|α(t	PROPN
ejpam-5613	427	39	,	,	PUNCT
ejpam-5613	427	40	s)|+(u−	s)|+(u−	PROPN
ejpam-5613	427	41	a)2(d−	a)2(d−	PROPN
ejpam-5613	427	42	v)2	v)2	ADJ
ejpam-5613	427	43	4	4	NUM
ejpam-5613	427	44	sup	sup	NOUN
ejpam-5613	427	45	(	(	PUNCT
ejpam-5613	427	46	t	t	NOUN
ejpam-5613	427	47	,	,	PUNCT
ejpam-5613	427	48	w)∈[a	w)∈[a	NOUN
ejpam-5613	427	49	,	,	PUNCT
ejpam-5613	427	50	u]×[v	u]×[v	PROPN
ejpam-5613	427	51	,	,	PUNCT
ejpam-5613	427	52	d	d	X
ejpam-5613	427	53	]	]	X
ejpam-5613	427	54	|α(t	|α(t	PROPN
ejpam-5613	427	55	,	,	PUNCT
ejpam-5613	427	56	s)|	s)|	NOUN
ejpam-5613	427	57	o.	o.	PROPN
ejpam-5613	427	58	b.	b.	PROPN
ejpam-5613	427	59	almutairi	almutairi	PROPN
ejpam-5613	427	60	,	,	PUNCT
ejpam-5613	427	61	m.	m.	NOUN
ejpam-5613	427	62	a.	a.	PROPN
ejpam-5613	427	63	latif	latif	PROPN
ejpam-5613	427	64	/	/	SYM
ejpam-5613	427	65	eur	eur	PROPN
ejpam-5613	427	66	.	.	PUNCT
ejpam-5613	428	1	j.	j.	PROPN
ejpam-5613	428	2	pure	pure	PROPN
ejpam-5613	428	3	appl	appl	PROPN
ejpam-5613	428	4	.	.	PROPN
ejpam-5613	428	5	math	math	PROPN
ejpam-5613	428	6	,	,	PUNCT
ejpam-5613	428	7	18	18	NUM
ejpam-5613	428	8	(	(	PUNCT
ejpam-5613	428	9	1	1	NUM
ejpam-5613	428	10	)	)	PUNCT
ejpam-5613	428	11	(	(	PUNCT
ejpam-5613	428	12	2025	2025	NUM
ejpam-5613	428	13	)	)	PUNCT
ejpam-5613	428	14	,	,	PUNCT
ejpam-5613	428	15	5608	5608	NUM
ejpam-5613	428	16	18	18	NUM
ejpam-5613	428	17	of	of	ADP
ejpam-5613	428	18	33	33	NUM
ejpam-5613	428	19	+	+	CCONJ
ejpam-5613	428	20	(	(	PUNCT
ejpam-5613	428	21	b−	b−	NOUN
ejpam-5613	428	22	u)2(v	u)2(v	SYM
ejpam-5613	428	23	−	−	PROPN
ejpam-5613	428	24	c)2	c)2	PROPN
ejpam-5613	428	25	4	4	NUM
ejpam-5613	428	26	sup	sup	NOUN
ejpam-5613	428	27	(	(	PUNCT
ejpam-5613	428	28	t	t	PROPN
ejpam-5613	428	29	,	,	PUNCT
ejpam-5613	428	30	w)∈[u	w)∈[u	PROPN
ejpam-5613	428	31	,	,	PUNCT
ejpam-5613	428	32	b]×[c	b]×[c	PROPN
ejpam-5613	428	33	,	,	PUNCT
ejpam-5613	428	34	v	v	NOUN
ejpam-5613	428	35	]	]	X
ejpam-5613	428	36	|α(t	|α(t	PROPN
ejpam-5613	428	37	,	,	PUNCT
ejpam-5613	428	38	s)|+(u−	s)|+(u−	NUM
ejpam-5613	428	39	a)2(v	a)2(v	PROPN
ejpam-5613	428	40	−	−	PROPN
ejpam-5613	428	41	c)2	c)2	PROPN
ejpam-5613	428	42	4	4	NUM
ejpam-5613	428	43	sup	sup	NOUN
ejpam-5613	428	44	(	(	PUNCT
ejpam-5613	428	45	t	t	NOUN
ejpam-5613	428	46	,	,	PUNCT
ejpam-5613	428	47	w)∈[a	w)∈[a	NOUN
ejpam-5613	428	48	,	,	PUNCT
ejpam-5613	428	49	u]×[c	u]×[c	PROPN
ejpam-5613	428	50	,	,	PUNCT
ejpam-5613	428	51	v	v	NOUN
ejpam-5613	428	52	]	]	X
ejpam-5613	428	53	|α(t	|α(t	PROPN
ejpam-5613	428	54	,	,	PUNCT
ejpam-5613	428	55	s)|	s)|	NOUN
ejpam-5613	428	56	≤	≤	NOUN
ejpam-5613	428	57	[	[	PUNCT
ejpam-5613	428	58	(	(	PUNCT
ejpam-5613	428	59	b−	b−	NOUN
ejpam-5613	428	60	u)2(d−	u)2(d−	PROPN
ejpam-5613	428	61	v)2	v)2	PROPN
ejpam-5613	428	62	4	4	NUM
ejpam-5613	429	1	+	+	CCONJ
ejpam-5613	429	2	(	(	PUNCT
ejpam-5613	429	3	u−	u−	PROPN
ejpam-5613	429	4	a)2(d−	a)2(d−	PROPN
ejpam-5613	429	5	v)2	v)2	ADJ
ejpam-5613	429	6	4	4	NUM
ejpam-5613	430	1	+	+	CCONJ
ejpam-5613	431	1	(	(	PUNCT
ejpam-5613	431	2	b−	b−	NOUN
ejpam-5613	431	3	u)2(v	u)2(v	SYM
ejpam-5613	431	4	−	−	PROPN
ejpam-5613	431	5	c)2	c)2	NOUN
ejpam-5613	431	6	4	4	NUM
ejpam-5613	431	7	+	+	CCONJ
ejpam-5613	431	8	(	(	PUNCT
ejpam-5613	431	9	u−	u−	PROPN
ejpam-5613	431	10	a)2(v	a)2(v	PROPN
ejpam-5613	431	11	−	−	PROPN
ejpam-5613	431	12	c)2	c)2	PROPN
ejpam-5613	431	13	4	4	NUM
ejpam-5613	431	14	]	]	SYM
ejpam-5613	431	15	×	×	NOUN
ejpam-5613	431	16	sup	sup	NOUN
ejpam-5613	431	17	(	(	PUNCT
ejpam-5613	431	18	t	t	PROPN
ejpam-5613	431	19	,	,	PUNCT
ejpam-5613	431	20	w)∈[a	w)∈[a	NOUN
ejpam-5613	431	21	,	,	PUNCT
ejpam-5613	431	22	b]×[c	b]×[c	PROPN
ejpam-5613	431	23	,	,	PUNCT
ejpam-5613	431	24	d	d	X
ejpam-5613	431	25	]	]	X
ejpam-5613	431	26	|α(t	|α(t	PROPN
ejpam-5613	431	27	,	,	PUNCT
ejpam-5613	431	28	s)|	s)|	NOUN
ejpam-5613	431	29	=	=	PUNCT
ejpam-5613	431	30	{	{	PUNCT
ejpam-5613	431	31	1	1	NUM
ejpam-5613	431	32	4	4	NUM
ejpam-5613	431	33	(	(	PUNCT
ejpam-5613	431	34	b−	b−	NOUN
ejpam-5613	431	35	a	a	PRON
ejpam-5613	431	36	)	)	PUNCT
ejpam-5613	432	1	+	+	CCONJ
ejpam-5613	432	2	(	(	PUNCT
ejpam-5613	432	3	u−	u−	PROPN
ejpam-5613	432	4	a+	a+	PRON
ejpam-5613	432	5	b	b	PROPN
ejpam-5613	432	6	2	2	NUM
ejpam-5613	432	7	)	)	SYM
ejpam-5613	432	8	2	2	NUM
ejpam-5613	432	9	}	}	PUNCT
ejpam-5613	432	10	{	{	PUNCT
ejpam-5613	432	11	1	1	NUM
ejpam-5613	432	12	4	4	NUM
ejpam-5613	432	13	(	(	PUNCT
ejpam-5613	432	14	d−	d−	PROPN
ejpam-5613	432	15	c	c	PROPN
ejpam-5613	432	16	)	)	PUNCT
ejpam-5613	433	1	+	+	CCONJ
ejpam-5613	433	2	(	(	PUNCT
ejpam-5613	433	3	v	v	NOUN
ejpam-5613	433	4	−	−	NOUN
ejpam-5613	433	5	c+	c+	NOUN
ejpam-5613	433	6	d	d	NOUN
ejpam-5613	433	7	2	2	NUM
ejpam-5613	433	8	)	)	SYM
ejpam-5613	433	9	2	2	NUM
ejpam-5613	433	10	}	}	PUNCT
ejpam-5613	433	11	.	.	PUNCT
ejpam-5613	434	1	(	(	PUNCT
ejpam-5613	434	2	2.22	2.22	NUM
ejpam-5613	434	3	)	)	PUNCT
ejpam-5613	434	4	thus	thus	ADV
ejpam-5613	434	5	,	,	PUNCT
ejpam-5613	434	6	the	the	DET
ejpam-5613	434	7	third	third	ADJ
ejpam-5613	434	8	part	part	NOUN
ejpam-5613	434	9	in	in	ADP
ejpam-5613	434	10	the	the	DET
ejpam-5613	434	11	inequalities	inequality	NOUN
ejpam-5613	434	12	(	(	PUNCT
ejpam-5613	434	13	2.18	2.18	NUM
ejpam-5613	434	14	)	)	PUNCT
ejpam-5613	434	15	is	be	AUX
ejpam-5613	434	16	established	establish	VERB
ejpam-5613	434	17	.	.	PUNCT
ejpam-5613	435	1	proposition	proposition	NOUN
ejpam-5613	435	2	4	4	NUM
ejpam-5613	435	3	.	.	PUNCT
ejpam-5613	435	4	suppose	suppose	VERB
ejpam-5613	435	5	that	that	SCONJ
ejpam-5613	435	6	α	α	PRON
ejpam-5613	435	7	:	:	PUNCT
ejpam-5613	435	8	[	[	X
ejpam-5613	435	9	a	a	X
ejpam-5613	435	10	,	,	PUNCT
ejpam-5613	435	11	b]×	b]×	NOUN
ejpam-5613	436	1	[	[	X
ejpam-5613	436	2	c	c	X
ejpam-5613	436	3	,	,	PUNCT
ejpam-5613	436	4	d	d	X
ejpam-5613	436	5	]	]	X
ejpam-5613	436	6	→	→	SYM
ejpam-5613	436	7	c	c	PROPN
ejpam-5613	436	8	and	and	CCONJ
ejpam-5613	436	9	y	y	NOUN
ejpam-5613	436	10	:	:	PUNCT
ejpam-5613	437	1	[	[	X
ejpam-5613	437	2	a	a	X
ejpam-5613	437	3	,	,	PUNCT
ejpam-5613	437	4	b]×	b]×	NOUN
ejpam-5613	437	5	[	[	X
ejpam-5613	437	6	c	c	X
ejpam-5613	437	7	,	,	PUNCT
ejpam-5613	437	8	d	d	X
ejpam-5613	437	9	]	]	X
ejpam-5613	437	10	→	→	PUNCT
ejpam-5613	437	11	e1	e1	NOUN
ejpam-5613	437	12	×e2	×e2	NOUN
ejpam-5613	437	13	are	be	AUX
ejpam-5613	437	14	as	as	ADV
ejpam-5613	437	15	defined	define	VERB
ejpam-5613	437	16	in	in	ADP
ejpam-5613	437	17	theorem	theorem	NOUN
ejpam-5613	437	18	4	4	NUM
ejpam-5613	437	19	and	and	CCONJ
ejpam-5613	437	20	all	all	DET
ejpam-5613	437	21	the	the	DET
ejpam-5613	437	22	assumptions	assumption	NOUN
ejpam-5613	437	23	of	of	ADP
ejpam-5613	437	24	are	be	AUX
ejpam-5613	437	25	satisified	satisifie	VERB
ejpam-5613	437	26	theorem	theorem	ADJ
ejpam-5613	437	27	4	4	NUM
ejpam-5613	437	28	,	,	PUNCT
ejpam-5613	437	29	then	then	ADV
ejpam-5613	437	30	we	we	PRON
ejpam-5613	437	31	have	have	VERB
ejpam-5613	437	32	the	the	DET
ejpam-5613	437	33	following	follow	VERB
ejpam-5613	437	34	inequalities	inequality	NOUN
ejpam-5613	437	35	hold	hold	VERB
ejpam-5613	437	36	for	for	ADP
ejpam-5613	437	37	all	all	DET
ejpam-5613	437	38	(	(	PUNCT
ejpam-5613	437	39	u	u	NOUN
ejpam-5613	437	40	,	,	PUNCT
ejpam-5613	437	41	v	v	NOUN
ejpam-5613	437	42	)	)	PUNCT
ejpam-5613	437	43	∈	∈	NOUN
ejpam-5613	438	1	[	[	X
ejpam-5613	438	2	a	a	X
ejpam-5613	438	3	,	,	PUNCT
ejpam-5613	438	4	b]×	b]×	NOUN
ejpam-5613	438	5	[	[	X
ejpam-5613	438	6	c	c	X
ejpam-5613	438	7	,	,	PUNCT
ejpam-5613	438	8	d]:∥∥∥∥(∫	d]:∥∥∥∥(∫	PROPN
ejpam-5613	438	9	b	b	NUM
ejpam-5613	438	10	u	u	NOUN
ejpam-5613	438	11	∫	∫	PROPN
ejpam-5613	439	1	d	d	X
ejpam-5613	439	2	v	v	ADP
ejpam-5613	439	3	α	α	PROPN
ejpam-5613	439	4	(	(	PUNCT
ejpam-5613	439	5	s	s	X
ejpam-5613	439	6	,	,	PUNCT
ejpam-5613	439	7	r	r	NOUN
ejpam-5613	439	8	)	)	PUNCT
ejpam-5613	439	9	drds	drd	NOUN
ejpam-5613	439	10	)	)	PUNCT
ejpam-5613	440	1	y	y	PROPN
ejpam-5613	440	2	(	(	PUNCT
ejpam-5613	440	3	b	b	NOUN
ejpam-5613	440	4	,	,	PUNCT
ejpam-5613	440	5	d	d	NOUN
ejpam-5613	440	6	)	)	PUNCT
ejpam-5613	441	1	+	+	CCONJ
ejpam-5613	441	2	(	(	PUNCT
ejpam-5613	441	3	∫	∫	PROPN
ejpam-5613	441	4	u	u	PROPN
ejpam-5613	441	5	a	a	DET
ejpam-5613	441	6	∫	∫	PROPN
ejpam-5613	441	7	d	d	X
ejpam-5613	441	8	v	v	ADP
ejpam-5613	441	9	α	α	PROPN
ejpam-5613	441	10	(	(	PUNCT
ejpam-5613	441	11	s	s	X
ejpam-5613	441	12	,	,	PUNCT
ejpam-5613	441	13	r	r	NOUN
ejpam-5613	441	14	)	)	PUNCT
ejpam-5613	441	15	drds	drd	NOUN
ejpam-5613	441	16	)	)	PUNCT
ejpam-5613	441	17	y	y	PROPN
ejpam-5613	441	18	(	(	PUNCT
ejpam-5613	441	19	a	a	DET
ejpam-5613	441	20	,	,	PUNCT
ejpam-5613	441	21	d	d	NOUN
ejpam-5613	441	22	)	)	PUNCT
ejpam-5613	442	1	+	+	CCONJ
ejpam-5613	442	2	(	(	PUNCT
ejpam-5613	442	3	∫	∫	PROPN
ejpam-5613	442	4	b	b	SYM
ejpam-5613	442	5	u	u	PROPN
ejpam-5613	442	6	∫	∫	PROPN
ejpam-5613	442	7	v	v	X
ejpam-5613	442	8	c	c	PROPN
ejpam-5613	442	9	α	α	PROPN
ejpam-5613	442	10	(	(	PUNCT
ejpam-5613	442	11	s	s	X
ejpam-5613	442	12	,	,	PUNCT
ejpam-5613	442	13	r	r	NOUN
ejpam-5613	442	14	)	)	PUNCT
ejpam-5613	442	15	drds	drd	NOUN
ejpam-5613	442	16	)	)	PUNCT
ejpam-5613	442	17	y	y	PROPN
ejpam-5613	442	18	(	(	PUNCT
ejpam-5613	442	19	b	b	NOUN
ejpam-5613	442	20	,	,	PUNCT
ejpam-5613	442	21	c	c	NOUN
ejpam-5613	442	22	)	)	PUNCT
ejpam-5613	443	1	+	+	CCONJ
ejpam-5613	443	2	(	(	PUNCT
ejpam-5613	443	3	∫	∫	PROPN
ejpam-5613	443	4	u	u	PROPN
ejpam-5613	443	5	a	a	DET
ejpam-5613	443	6	∫	∫	PROPN
ejpam-5613	443	7	v	v	NOUN
ejpam-5613	443	8	c	c	NOUN
ejpam-5613	443	9	α	α	PROPN
ejpam-5613	443	10	(	(	PUNCT
ejpam-5613	443	11	s	s	X
ejpam-5613	443	12	,	,	PUNCT
ejpam-5613	443	13	r	r	NOUN
ejpam-5613	443	14	)	)	PUNCT
ejpam-5613	443	15	drds	drd	NOUN
ejpam-5613	443	16	)	)	PUNCT
ejpam-5613	443	17	y	y	PROPN
ejpam-5613	443	18	(	(	PUNCT
ejpam-5613	443	19	a	a	PRON
ejpam-5613	443	20	,	,	PUNCT
ejpam-5613	443	21	c	c	NOUN
ejpam-5613	443	22	)	)	PUNCT
ejpam-5613	444	1	−	−	NOUN
ejpam-5613	444	2	∫	∫	PROPN
ejpam-5613	445	1	b	b	PROPN
ejpam-5613	445	2	a	a	DET
ejpam-5613	445	3	y	y	PROPN
ejpam-5613	445	4	(	(	PUNCT
ejpam-5613	445	5	t	t	PROPN
ejpam-5613	445	6	,	,	PUNCT
ejpam-5613	445	7	d	d	NOUN
ejpam-5613	445	8	)	)	PUNCT
ejpam-5613	445	9	(	(	PUNCT
ejpam-5613	445	10	∫	∫	PROPN
ejpam-5613	445	11	d	d	X
ejpam-5613	445	12	v	v	ADP
ejpam-5613	445	13	α	α	PROPN
ejpam-5613	445	14	(	(	PUNCT
ejpam-5613	445	15	t	t	PROPN
ejpam-5613	445	16	,	,	PUNCT
ejpam-5613	445	17	r	r	NOUN
ejpam-5613	445	18	)	)	PUNCT
ejpam-5613	445	19	dr	dr	PROPN
ejpam-5613	445	20	)	)	PUNCT
ejpam-5613	445	21	dt−	dt−	PROPN
ejpam-5613	445	22	∫	∫	PROPN
ejpam-5613	446	1	b	b	PROPN
ejpam-5613	446	2	a	a	DET
ejpam-5613	446	3	y	y	PROPN
ejpam-5613	446	4	(	(	PUNCT
ejpam-5613	446	5	t	t	PROPN
ejpam-5613	446	6	,	,	PUNCT
ejpam-5613	446	7	c	c	NOUN
ejpam-5613	446	8	)	)	PUNCT
ejpam-5613	446	9	(	(	PUNCT
ejpam-5613	446	10	∫	∫	PROPN
ejpam-5613	446	11	v	v	X
ejpam-5613	446	12	c	c	PROPN
ejpam-5613	446	13	α	α	PROPN
ejpam-5613	446	14	(	(	PUNCT
ejpam-5613	446	15	t	t	PROPN
ejpam-5613	446	16	,	,	PUNCT
ejpam-5613	446	17	r	r	NOUN
ejpam-5613	446	18	)	)	PUNCT
ejpam-5613	446	19	dr	dr	PROPN
ejpam-5613	446	20	)	)	PUNCT
ejpam-5613	446	21	dt	dt	PROPN
ejpam-5613	447	1	−	−	PROPN
ejpam-5613	447	2	∫	∫	PROPN
ejpam-5613	448	1	d	d	X
ejpam-5613	448	2	c	c	PROPN
ejpam-5613	448	3	y	y	PROPN
ejpam-5613	448	4	(	(	PUNCT
ejpam-5613	448	5	b	b	PROPN
ejpam-5613	448	6	,	,	PUNCT
ejpam-5613	448	7	w	w	NOUN
ejpam-5613	448	8	)	)	PUNCT
ejpam-5613	448	9	(	(	PUNCT
ejpam-5613	448	10	∫	∫	PROPN
ejpam-5613	448	11	b	b	PROPN
ejpam-5613	448	12	u	u	PROPN
ejpam-5613	448	13	α	α	PROPN
ejpam-5613	448	14	(	(	PUNCT
ejpam-5613	448	15	s	s	PROPN
ejpam-5613	448	16	,	,	PUNCT
ejpam-5613	448	17	w	w	NOUN
ejpam-5613	448	18	)	)	PUNCT
ejpam-5613	448	19	ds	ds	ADJ
ejpam-5613	448	20	)	)	PUNCT
ejpam-5613	448	21	dw	dw	NOUN
ejpam-5613	449	1	−	−	PROPN
ejpam-5613	449	2	∫	∫	PROPN
ejpam-5613	450	1	d	d	X
ejpam-5613	450	2	c	c	PROPN
ejpam-5613	450	3	y	y	PROPN
ejpam-5613	450	4	(	(	PUNCT
ejpam-5613	450	5	a	a	DET
ejpam-5613	450	6	,	,	PUNCT
ejpam-5613	450	7	w	w	NOUN
ejpam-5613	450	8	)	)	PUNCT
ejpam-5613	450	9	(	(	PUNCT
ejpam-5613	450	10	∫	∫	PROPN
ejpam-5613	450	11	u	u	PROPN
ejpam-5613	450	12	a	a	PRON
ejpam-5613	450	13	α	α	X
ejpam-5613	450	14	(	(	PUNCT
ejpam-5613	450	15	s	s	PROPN
ejpam-5613	450	16	,	,	PUNCT
ejpam-5613	450	17	w	w	NOUN
ejpam-5613	450	18	)	)	PUNCT
ejpam-5613	450	19	ds	ds	ADJ
ejpam-5613	450	20	)	)	PUNCT
ejpam-5613	450	21	dw	dw	NOUN
ejpam-5613	450	22	−	−	PROPN
ejpam-5613	450	23	∫	∫	PROPN
ejpam-5613	450	24	b	b	PROPN
ejpam-5613	450	25	a	a	DET
ejpam-5613	450	26	∫	∫	PROPN
ejpam-5613	450	27	d	d	X
ejpam-5613	450	28	c	c	PROPN
ejpam-5613	450	29	α	α	PROPN
ejpam-5613	450	30	(	(	PUNCT
ejpam-5613	450	31	t	t	PROPN
ejpam-5613	450	32	,	,	PUNCT
ejpam-5613	450	33	w)y	w)y	X
ejpam-5613	450	34	(	(	PUNCT
ejpam-5613	450	35	t	t	PROPN
ejpam-5613	450	36	,	,	PUNCT
ejpam-5613	450	37	w	w	NOUN
ejpam-5613	450	38	)	)	PUNCT
ejpam-5613	450	39	dwdt	dwdt	NOUN
ejpam-5613	450	40	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	450	41	e1×e2	e1×e2	VERB
ejpam-5613	450	42	≤	≤	NOUN
ejpam-5613	450	43	[	[	PUNCT
ejpam-5613	450	44	(	(	PUNCT
ejpam-5613	450	45	b−	b−	PROPN
ejpam-5613	450	46	u	u	NOUN
ejpam-5613	450	47	)	)	PUNCT
ejpam-5613	450	48	(	(	PUNCT
ejpam-5613	450	49	d−	d−	PROPN
ejpam-5613	450	50	v	v	NOUN
ejpam-5613	450	51	)	)	PUNCT
ejpam-5613	450	52	(	(	PUNCT
ejpam-5613	450	53	∫	∫	PROPN
ejpam-5613	450	54	b	b	X
ejpam-5613	450	55	u	u	PROPN
ejpam-5613	450	56	∫	∫	PROPN
ejpam-5613	450	57	d	d	PROPN
ejpam-5613	450	58	v	v	PROPN
ejpam-5613	450	59	|α	|α	NOUN
ejpam-5613	450	60	(	(	PUNCT
ejpam-5613	450	61	s	s	PROPN
ejpam-5613	450	62	,	,	PUNCT
ejpam-5613	450	63	r)|	r)|	ADJ
ejpam-5613	450	64	drds	drd	NOUN
ejpam-5613	450	65	)	)	PUNCT
ejpam-5613	450	66	p	p	NOUN
ejpam-5613	451	1	+	+	X
ejpam-5613	451	2	(	(	PUNCT
ejpam-5613	451	3	u−	u−	PROPN
ejpam-5613	451	4	a	a	NOUN
ejpam-5613	451	5	)	)	PUNCT
ejpam-5613	451	6	(	(	PUNCT
ejpam-5613	451	7	d−	d−	PROPN
ejpam-5613	451	8	v	v	NOUN
ejpam-5613	451	9	)	)	PUNCT
ejpam-5613	451	10	(	(	PUNCT
ejpam-5613	451	11	∫	∫	PROPN
ejpam-5613	451	12	u	u	PROPN
ejpam-5613	451	13	a	a	DET
ejpam-5613	451	14	∫	∫	PROPN
ejpam-5613	451	15	d	d	PROPN
ejpam-5613	451	16	v	v	PROPN
ejpam-5613	451	17	|α	|α	NOUN
ejpam-5613	451	18	(	(	PUNCT
ejpam-5613	451	19	s	s	PROPN
ejpam-5613	451	20	,	,	PUNCT
ejpam-5613	451	21	r)|	r)|	ADJ
ejpam-5613	451	22	drds	drd	NOUN
ejpam-5613	451	23	)	)	PUNCT
ejpam-5613	451	24	p	p	X
ejpam-5613	452	1	+	+	PROPN
ejpam-5613	452	2	(	(	PUNCT
ejpam-5613	452	3	b−	b−	PROPN
ejpam-5613	452	4	u	u	NOUN
ejpam-5613	452	5	)	)	PUNCT
ejpam-5613	452	6	(	(	PUNCT
ejpam-5613	452	7	v	v	ADP
ejpam-5613	452	8	−	−	NOUN
ejpam-5613	452	9	c	c	NOUN
ejpam-5613	452	10	)	)	PUNCT
ejpam-5613	452	11	(	(	PUNCT
ejpam-5613	452	12	∫	∫	PROPN
ejpam-5613	452	13	b	b	SYM
ejpam-5613	452	14	u	u	PROPN
ejpam-5613	452	15	∫	∫	PROPN
ejpam-5613	452	16	v	v	PROPN
ejpam-5613	452	17	c	c	PROPN
ejpam-5613	452	18	|α	|α	PROPN
ejpam-5613	452	19	(	(	PUNCT
ejpam-5613	452	20	s	s	PROPN
ejpam-5613	452	21	,	,	PUNCT
ejpam-5613	452	22	r)|	r)|	ADJ
ejpam-5613	452	23	drds	drd	NOUN
ejpam-5613	452	24	)	)	PUNCT
ejpam-5613	453	1	p	p	NOUN
ejpam-5613	454	1	+	+	X
ejpam-5613	454	2	(	(	PUNCT
ejpam-5613	454	3	u−	u−	PROPN
ejpam-5613	454	4	a	a	NOUN
ejpam-5613	454	5	)	)	PUNCT
ejpam-5613	454	6	(	(	PUNCT
ejpam-5613	454	7	v	v	NOUN
ejpam-5613	454	8	−	−	NOUN
ejpam-5613	454	9	c	c	NOUN
ejpam-5613	454	10	)	)	PUNCT
ejpam-5613	454	11	(	(	PUNCT
ejpam-5613	454	12	∫	∫	PROPN
ejpam-5613	454	13	u	u	PROPN
ejpam-5613	454	14	a	a	DET
ejpam-5613	454	15	∫	∫	PROPN
ejpam-5613	454	16	v	v	PROPN
ejpam-5613	454	17	c	c	PROPN
ejpam-5613	454	18	|α	|α	PROPN
ejpam-5613	454	19	(	(	PUNCT
ejpam-5613	454	20	s	s	PROPN
ejpam-5613	454	21	,	,	PUNCT
ejpam-5613	454	22	r)|	r)|	ADJ
ejpam-5613	454	23	drds	drd	NOUN
ejpam-5613	454	24	)	)	PUNCT
ejpam-5613	455	1	p	p	X
ejpam-5613	455	2	]	]	PUNCT
ejpam-5613	455	3	1	1	NUM
ejpam-5613	455	4	p	p	NOUN
ejpam-5613	455	5	×	×	NOUN
ejpam-5613	455	6	(	(	PUNCT
ejpam-5613	455	7	∫	∫	PROPN
ejpam-5613	455	8	b	b	PROPN
ejpam-5613	455	9	a	a	DET
ejpam-5613	455	10	∫	∫	PROPN
ejpam-5613	455	11	d	d	PROPN
ejpam-5613	455	12	c	c	PROPN
ejpam-5613	455	13	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	456	1	∂2	∂2	PROPN
ejpam-5613	456	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	456	3	y	y	PROPN
ejpam-5613	456	4	(	(	PUNCT
ejpam-5613	456	5	t	t	PROPN
ejpam-5613	456	6	,	,	PUNCT
ejpam-5613	456	7	w	w	PROPN
ejpam-5613	456	8	)	)	PUNCT
ejpam-5613	456	9	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	457	1	e1×e2	e1×e2	VERB
ejpam-5613	457	2	dwdt	dwdt	NOUN
ejpam-5613	457	3	)	)	PUNCT
ejpam-5613	458	1	1	1	NUM
ejpam-5613	458	2	q	q	NOUN
ejpam-5613	458	3	≤	≤	NUM
ejpam-5613	459	1	[	[	X
ejpam-5613	459	2	(	(	PUNCT
ejpam-5613	459	3	b−	b−	NOUN
ejpam-5613	459	4	a	a	NOUN
ejpam-5613	459	5	)	)	PUNCT
ejpam-5613	459	6	(	(	PUNCT
ejpam-5613	459	7	d−	d−	PROPN
ejpam-5613	459	8	c	c	PROPN
ejpam-5613	459	9	)	)	PUNCT
ejpam-5613	459	10	]	]	PUNCT
ejpam-5613	460	1	1	1	NUM
ejpam-5613	460	2	p	p	X
ejpam-5613	460	3	[	[	X
ejpam-5613	460	4	(	(	PUNCT
ejpam-5613	460	5	∫	∫	PROPN
ejpam-5613	460	6	b	b	PROPN
ejpam-5613	460	7	u	u	PROPN
ejpam-5613	460	8	∫	∫	PROPN
ejpam-5613	460	9	d	d	PROPN
ejpam-5613	460	10	v	v	PROPN
ejpam-5613	460	11	|α	|α	NOUN
ejpam-5613	460	12	(	(	PUNCT
ejpam-5613	460	13	s	s	PROPN
ejpam-5613	460	14	,	,	PUNCT
ejpam-5613	460	15	r)|	r)|	ADJ
ejpam-5613	460	16	drds	drd	NOUN
ejpam-5613	460	17	)	)	PUNCT
ejpam-5613	460	18	p	p	X
ejpam-5613	461	1	+	+	CCONJ
ejpam-5613	461	2	(	(	PUNCT
ejpam-5613	461	3	∫	∫	PROPN
ejpam-5613	461	4	u	u	PROPN
ejpam-5613	461	5	a	a	DET
ejpam-5613	461	6	∫	∫	PROPN
ejpam-5613	461	7	d	d	PROPN
ejpam-5613	461	8	v	v	PROPN
ejpam-5613	461	9	|α	|α	NOUN
ejpam-5613	461	10	(	(	PUNCT
ejpam-5613	461	11	s	s	PROPN
ejpam-5613	461	12	,	,	PUNCT
ejpam-5613	461	13	r)|	r)|	ADJ
ejpam-5613	461	14	drds	drd	NOUN
ejpam-5613	461	15	)	)	PUNCT
ejpam-5613	462	1	p	p	X
ejpam-5613	462	2	+	+	X
ejpam-5613	462	3	(	(	PUNCT
ejpam-5613	462	4	∫	∫	PROPN
ejpam-5613	462	5	b	b	PROPN
ejpam-5613	462	6	u	u	PROPN
ejpam-5613	462	7	∫	∫	PROPN
ejpam-5613	462	8	v	v	PROPN
ejpam-5613	462	9	c	c	PROPN
ejpam-5613	462	10	|α	|α	PROPN
ejpam-5613	462	11	(	(	PUNCT
ejpam-5613	462	12	s	s	PROPN
ejpam-5613	462	13	,	,	PUNCT
ejpam-5613	462	14	r)|	r)|	ADJ
ejpam-5613	462	15	drds	drd	NOUN
ejpam-5613	462	16	)	)	PUNCT
ejpam-5613	463	1	p	p	X
ejpam-5613	463	2	+	+	CCONJ
ejpam-5613	463	3	(	(	PUNCT
ejpam-5613	463	4	∫	∫	PROPN
ejpam-5613	463	5	u	u	PROPN
ejpam-5613	463	6	a	a	DET
ejpam-5613	463	7	∫	∫	PROPN
ejpam-5613	463	8	v	v	PROPN
ejpam-5613	463	9	c	c	PROPN
ejpam-5613	463	10	|α	|α	PROPN
ejpam-5613	463	11	(	(	PUNCT
ejpam-5613	463	12	s	s	PROPN
ejpam-5613	463	13	,	,	PUNCT
ejpam-5613	463	14	r)|	r)|	ADJ
ejpam-5613	463	15	drds	drd	NOUN
ejpam-5613	463	16	)	)	PUNCT
ejpam-5613	464	1	p	p	X
ejpam-5613	464	2	]	]	PUNCT
ejpam-5613	464	3	1	1	NUM
ejpam-5613	464	4	p	p	PROPN
ejpam-5613	464	5	o.	o.	PROPN
ejpam-5613	464	6	b.	b.	PROPN
ejpam-5613	464	7	almutairi	almutairi	PROPN
ejpam-5613	464	8	,	,	PUNCT
ejpam-5613	464	9	m.	m.	NOUN
ejpam-5613	464	10	a.	a.	PROPN
ejpam-5613	464	11	latif	latif	PROPN
ejpam-5613	464	12	/	/	SYM
ejpam-5613	464	13	eur	eur	PROPN
ejpam-5613	464	14	.	.	PUNCT
ejpam-5613	465	1	j.	j.	PROPN
ejpam-5613	465	2	pure	pure	PROPN
ejpam-5613	465	3	appl	appl	PROPN
ejpam-5613	465	4	.	.	PROPN
ejpam-5613	465	5	math	math	PROPN
ejpam-5613	465	6	,	,	PUNCT
ejpam-5613	465	7	18	18	NUM
ejpam-5613	465	8	(	(	PUNCT
ejpam-5613	465	9	1	1	NUM
ejpam-5613	465	10	)	)	PUNCT
ejpam-5613	465	11	(	(	PUNCT
ejpam-5613	465	12	2025	2025	NUM
ejpam-5613	465	13	)	)	PUNCT
ejpam-5613	465	14	,	,	PUNCT
ejpam-5613	465	15	5608	5608	NUM
ejpam-5613	465	16	19	19	NUM
ejpam-5613	465	17	of	of	ADP
ejpam-5613	465	18	33	33	NUM
ejpam-5613	465	19	×	×	NOUN
ejpam-5613	465	20	(	(	PUNCT
ejpam-5613	465	21	∫	∫	PROPN
ejpam-5613	465	22	b	b	PROPN
ejpam-5613	465	23	a	a	DET
ejpam-5613	465	24	∫	∫	PROPN
ejpam-5613	465	25	d	d	PROPN
ejpam-5613	465	26	c	c	PROPN
ejpam-5613	465	27	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	465	28	∂2	∂2	PROPN
ejpam-5613	465	29	∂w∂t	∂w∂t	ADJ
ejpam-5613	465	30	y	y	PROPN
ejpam-5613	465	31	(	(	PUNCT
ejpam-5613	465	32	t	t	PROPN
ejpam-5613	465	33	,	,	PUNCT
ejpam-5613	465	34	w	w	PROPN
ejpam-5613	465	35	)	)	PUNCT
ejpam-5613	465	36	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	466	1	e1×e2	e1×e2	VERB
ejpam-5613	466	2	dwdt	dwdt	NOUN
ejpam-5613	466	3	)	)	PUNCT
ejpam-5613	466	4	1	1	NUM
ejpam-5613	466	5	q	q	NOUN
ejpam-5613	466	6	.	.	PUNCT
ejpam-5613	467	1	(	(	PUNCT
ejpam-5613	467	2	2.23	2.23	NUM
ejpam-5613	467	3	)	)	PUNCT
ejpam-5613	467	4	where	where	SCONJ
ejpam-5613	467	5	p	p	X
ejpam-5613	467	6	,	,	PUNCT
ejpam-5613	467	7	q	q	ADJ
ejpam-5613	467	8	>	>	X
ejpam-5613	467	9	1	1	NUM
ejpam-5613	467	10	with	with	ADP
ejpam-5613	467	11	1	1	NUM
ejpam-5613	467	12	p	p	NOUN
ejpam-5613	467	13	+	+	NOUN
ejpam-5613	467	14	1	1	NUM
ejpam-5613	467	15	q	q	NOUN
ejpam-5613	467	16	=	=	NOUN
ejpam-5613	467	17	1	1	X
ejpam-5613	467	18	.	.	PUNCT
ejpam-5613	468	1	proof	proof	NOUN
ejpam-5613	468	2	.	.	PUNCT
ejpam-5613	469	1	by	by	ADP
ejpam-5613	469	2	the	the	DET
ejpam-5613	469	3	elementary	elementary	ADJ
ejpam-5613	469	4	inequality	inequality	NOUN
ejpam-5613	469	5	x1x2	x1x2	PUNCT
ejpam-5613	470	1	+	+	CCONJ
ejpam-5613	470	2	x3x4	x3x4	PUNCT
ejpam-5613	471	1	+	+	CCONJ
ejpam-5613	471	2	x5x6	x5x6	PROPN
ejpam-5613	472	1	+	+	NUM
ejpam-5613	472	2	x7x8	x7x8	X
ejpam-5613	472	3	≤	≤	NOUN
ejpam-5613	472	4	(	(	PUNCT
ejpam-5613	472	5	xp1	xp1	PROPN
ejpam-5613	472	6	+	+	CCONJ
ejpam-5613	472	7	xp3	xp3	PROPN
ejpam-5613	472	8	+	+	CCONJ
ejpam-5613	472	9	xp5	xp5	PROPN
ejpam-5613	473	1	+	+	CCONJ
ejpam-5613	473	2	xp7	xp7	PROPN
ejpam-5613	473	3	)	)	PUNCT
ejpam-5613	474	1	1	1	NUM
ejpam-5613	474	2	p	p	NOUN
ejpam-5613	474	3	(	(	PUNCT
ejpam-5613	474	4	xq2	xq2	PROPN
ejpam-5613	474	5	+	+	SYM
ejpam-5613	474	6	xq4	xq4	NOUN
ejpam-5613	474	7	+	+	CCONJ
ejpam-5613	474	8	xq6	xq6	NOUN
ejpam-5613	474	9	+	+	CCONJ
ejpam-5613	474	10	xq8	xq8	NOUN
ejpam-5613	474	11	)	)	PUNCT
ejpam-5613	474	12	1	1	NUM
ejpam-5613	474	13	q	q	NOUN
ejpam-5613	474	14	,	,	PUNCT
ejpam-5613	474	15	for	for	ADP
ejpam-5613	474	16	x1	x1	PROPN
ejpam-5613	474	17	,	,	PUNCT
ejpam-5613	474	18	x2	x2	PROPN
ejpam-5613	474	19	,	,	PUNCT
ejpam-5613	474	20	x3	x3	ADJ
ejpam-5613	474	21	,	,	PUNCT
ejpam-5613	474	22	x3	x3	ADJ
ejpam-5613	474	23	,	,	PUNCT
ejpam-5613	474	24	x5	x5	NOUN
ejpam-5613	474	25	,	,	PUNCT
ejpam-5613	474	26	x6	x6	PROPN
ejpam-5613	474	27	,	,	PUNCT
ejpam-5613	474	28	x7	x7	NOUN
ejpam-5613	474	29	,	,	PUNCT
ejpam-5613	474	30	x8	x8	PROPN
ejpam-5613	474	31	≥	≥	NUM
ejpam-5613	474	32	0	0	NUM
ejpam-5613	474	33	,	,	PUNCT
ejpam-5613	474	34	p	p	X
ejpam-5613	474	35	,	,	PUNCT
ejpam-5613	474	36	q	q	X
ejpam-5613	474	37	>	>	X
ejpam-5613	474	38	1	1	NUM
ejpam-5613	474	39	with	with	ADP
ejpam-5613	474	40	1	1	NUM
ejpam-5613	474	41	p	p	NOUN
ejpam-5613	474	42	+	+	NOUN
ejpam-5613	474	43	1	1	NUM
ejpam-5613	474	44	q	q	NOUN
ejpam-5613	474	45	=	=	SYM
ejpam-5613	474	46	1	1	NUM
ejpam-5613	474	47	,	,	PUNCT
ejpam-5613	474	48	we	we	PRON
ejpam-5613	474	49	obtain	obtain	VERB
ejpam-5613	474	50	the	the	DET
ejpam-5613	474	51	following	follow	VERB
ejpam-5613	474	52	inequality	inequality	NOUN
ejpam-5613	474	53	,	,	PUNCT
ejpam-5613	474	54	from	from	ADP
ejpam-5613	474	55	the	the	DET
ejpam-5613	474	56	second	second	ADJ
ejpam-5613	474	57	part	part	NOUN
ejpam-5613	474	58	of	of	ADP
ejpam-5613	474	59	the	the	DET
ejpam-5613	474	60	inequality	inequality	NOUN
ejpam-5613	474	61	(	(	PUNCT
ejpam-5613	474	62	2.3	2.3	NUM
ejpam-5613	474	63	):	):	PUNCT
ejpam-5613	475	1	[	[	X
ejpam-5613	475	2	∫	∫	X
ejpam-5613	475	3	b	b	X
ejpam-5613	475	4	u	u	PROPN
ejpam-5613	475	5	∫	∫	PROPN
ejpam-5613	475	6	d	d	X
ejpam-5613	475	7	v	v	PROPN
ejpam-5613	475	8	(	(	PUNCT
ejpam-5613	475	9	∫	∫	PROPN
ejpam-5613	475	10	t	t	PROPN
ejpam-5613	475	11	u	u	X
ejpam-5613	475	12	∫	∫	PROPN
ejpam-5613	475	13	w	w	PROPN
ejpam-5613	475	14	c	c	PROPN
ejpam-5613	475	15	|α	|α	PROPN
ejpam-5613	475	16	(	(	PUNCT
ejpam-5613	475	17	s	s	PROPN
ejpam-5613	475	18	,	,	PUNCT
ejpam-5613	475	19	r)|	r)|	ADJ
ejpam-5613	475	20	drds	drd	NOUN
ejpam-5613	475	21	)	)	PUNCT
ejpam-5613	475	22	p	p	NOUN
ejpam-5613	475	23	dwdt	dwdt	NOUN
ejpam-5613	475	24	]	]	PUNCT
ejpam-5613	475	25	1	1	NUM
ejpam-5613	475	26	p	p	NOUN
ejpam-5613	476	1	[	[	X
ejpam-5613	476	2	∫	∫	X
ejpam-5613	476	3	b	b	X
ejpam-5613	476	4	u	u	NOUN
ejpam-5613	476	5	∫	∫	PROPN
ejpam-5613	476	6	d	d	X
ejpam-5613	476	7	v	v	ADP
ejpam-5613	476	8	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	476	9	∂2	∂2	NOUN
ejpam-5613	476	10	∂w∂t	∂w∂t	ADJ
ejpam-5613	476	11	y	y	PROPN
ejpam-5613	476	12	(	(	PUNCT
ejpam-5613	476	13	t	t	PROPN
ejpam-5613	476	14	,	,	PUNCT
ejpam-5613	476	15	w	w	PROPN
ejpam-5613	476	16	)	)	PUNCT
ejpam-5613	476	17	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	477	1	e1×e2	e1×e2	VERB
ejpam-5613	477	2	dwdt	dwdt	NOUN
ejpam-5613	477	3	]	]	PUNCT
ejpam-5613	477	4	1	1	NUM
ejpam-5613	477	5	q	q	NOUN
ejpam-5613	478	1	+	+	CCONJ
ejpam-5613	478	2	[	[	X
ejpam-5613	478	3	∫	∫	X
ejpam-5613	478	4	u	u	NOUN
ejpam-5613	478	5	a	a	DET
ejpam-5613	478	6	∫	∫	PROPN
ejpam-5613	478	7	d	d	X
ejpam-5613	478	8	v	v	PROPN
ejpam-5613	478	9	(	(	PUNCT
ejpam-5613	478	10	∫	∫	PROPN
ejpam-5613	478	11	u	u	NOUN
ejpam-5613	478	12	t	t	PROPN
ejpam-5613	478	13	∫	∫	PROPN
ejpam-5613	478	14	w	w	PROPN
ejpam-5613	478	15	v	v	PROPN
ejpam-5613	478	16	|α	|α	NOUN
ejpam-5613	478	17	(	(	PUNCT
ejpam-5613	478	18	s	s	PROPN
ejpam-5613	478	19	,	,	PUNCT
ejpam-5613	478	20	r)|	r)|	ADJ
ejpam-5613	478	21	drds	drd	NOUN
ejpam-5613	478	22	)	)	PUNCT
ejpam-5613	478	23	p	p	NOUN
ejpam-5613	478	24	dwdt	dwdt	NOUN
ejpam-5613	478	25	]	]	PUNCT
ejpam-5613	478	26	1	1	NUM
ejpam-5613	478	27	p	p	NOUN
ejpam-5613	479	1	[	[	X
ejpam-5613	479	2	∫	∫	X
ejpam-5613	479	3	u	u	NOUN
ejpam-5613	479	4	a	a	DET
ejpam-5613	479	5	∫	∫	PROPN
ejpam-5613	480	1	d	d	X
ejpam-5613	480	2	v	v	ADP
ejpam-5613	480	3	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	480	4	∂2	∂2	NOUN
ejpam-5613	480	5	∂w∂t	∂w∂t	ADJ
ejpam-5613	480	6	y	y	PROPN
ejpam-5613	480	7	(	(	PUNCT
ejpam-5613	480	8	t	t	PROPN
ejpam-5613	480	9	,	,	PUNCT
ejpam-5613	480	10	w	w	PROPN
ejpam-5613	480	11	)	)	PUNCT
ejpam-5613	480	12	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	481	1	e1×e2	e1×e2	VERB
ejpam-5613	481	2	dwdt	dwdt	NOUN
ejpam-5613	481	3	]	]	PUNCT
ejpam-5613	481	4	1	1	NUM
ejpam-5613	481	5	q	q	NOUN
ejpam-5613	482	1	+	+	CCONJ
ejpam-5613	482	2	[	[	X
ejpam-5613	482	3	∫	∫	X
ejpam-5613	482	4	b	b	X
ejpam-5613	482	5	u	u	NOUN
ejpam-5613	482	6	∫	∫	PROPN
ejpam-5613	482	7	v	v	PROPN
ejpam-5613	482	8	c	c	PROPN
ejpam-5613	482	9	(	(	PUNCT
ejpam-5613	482	10	∫	∫	PROPN
ejpam-5613	482	11	t	t	PROPN
ejpam-5613	482	12	u	u	X
ejpam-5613	482	13	∫	∫	PROPN
ejpam-5613	482	14	v	v	PROPN
ejpam-5613	482	15	w	w	PROPN
ejpam-5613	482	16	|α	|α	PROPN
ejpam-5613	482	17	(	(	PUNCT
ejpam-5613	482	18	s	s	PROPN
ejpam-5613	482	19	,	,	PUNCT
ejpam-5613	482	20	r)|	r)|	ADJ
ejpam-5613	482	21	drds	drd	NOUN
ejpam-5613	482	22	)	)	PUNCT
ejpam-5613	482	23	p	p	NOUN
ejpam-5613	482	24	dwdt	dwdt	NOUN
ejpam-5613	482	25	]	]	PUNCT
ejpam-5613	482	26	1	1	NUM
ejpam-5613	482	27	p	p	NOUN
ejpam-5613	482	28	[	[	X
ejpam-5613	482	29	∫	∫	X
ejpam-5613	482	30	b	b	X
ejpam-5613	482	31	u	u	NOUN
ejpam-5613	482	32	∫	∫	PROPN
ejpam-5613	482	33	v	v	ADP
ejpam-5613	482	34	c	c	PROPN
ejpam-5613	482	35	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	482	36	∂2	∂2	PROPN
ejpam-5613	482	37	∂w∂t	∂w∂t	ADJ
ejpam-5613	482	38	y	y	PROPN
ejpam-5613	482	39	(	(	PUNCT
ejpam-5613	482	40	t	t	PROPN
ejpam-5613	482	41	,	,	PUNCT
ejpam-5613	482	42	w	w	PROPN
ejpam-5613	482	43	)	)	PUNCT
ejpam-5613	482	44	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	482	45	e1×e2	e1×e2	VERB
ejpam-5613	482	46	dwdt	dwdt	NOUN
ejpam-5613	482	47	]	]	PUNCT
ejpam-5613	482	48	1	1	NUM
ejpam-5613	482	49	q	q	NOUN
ejpam-5613	483	1	+	+	CCONJ
ejpam-5613	483	2	[	[	X
ejpam-5613	483	3	∫	∫	X
ejpam-5613	483	4	u	u	NOUN
ejpam-5613	483	5	a	a	DET
ejpam-5613	483	6	∫	∫	PROPN
ejpam-5613	483	7	v	v	ADP
ejpam-5613	483	8	c	c	PROPN
ejpam-5613	483	9	(	(	PUNCT
ejpam-5613	483	10	∫	∫	PROPN
ejpam-5613	483	11	u	u	X
ejpam-5613	483	12	t	t	PROPN
ejpam-5613	483	13	∫	∫	PROPN
ejpam-5613	483	14	v	v	PROPN
ejpam-5613	483	15	w	w	PROPN
ejpam-5613	483	16	|α	|α	PROPN
ejpam-5613	483	17	(	(	PUNCT
ejpam-5613	483	18	s	s	PROPN
ejpam-5613	483	19	,	,	PUNCT
ejpam-5613	483	20	r)|	r)|	ADJ
ejpam-5613	483	21	drds	drd	NOUN
ejpam-5613	483	22	)	)	PUNCT
ejpam-5613	483	23	p	p	NOUN
ejpam-5613	483	24	dwdt	dwdt	NOUN
ejpam-5613	483	25	]	]	PUNCT
ejpam-5613	483	26	1	1	NUM
ejpam-5613	483	27	p	p	NOUN
ejpam-5613	484	1	[	[	X
ejpam-5613	484	2	∫	∫	X
ejpam-5613	484	3	u	u	NOUN
ejpam-5613	484	4	a	a	DET
ejpam-5613	484	5	∫	∫	PROPN
ejpam-5613	484	6	v	v	ADP
ejpam-5613	484	7	c	c	PROPN
ejpam-5613	484	8	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	484	9	∂2	∂2	PROPN
ejpam-5613	484	10	∂w∂t	∂w∂t	ADJ
ejpam-5613	484	11	y	y	PROPN
ejpam-5613	484	12	(	(	PUNCT
ejpam-5613	484	13	t	t	PROPN
ejpam-5613	484	14	,	,	PUNCT
ejpam-5613	484	15	w	w	PROPN
ejpam-5613	484	16	)	)	PUNCT
ejpam-5613	484	17	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	485	1	e1×e2	e1×e2	VERB
ejpam-5613	485	2	dwdt	dwdt	NOUN
ejpam-5613	485	3	]	]	PUNCT
ejpam-5613	485	4	1	1	NUM
ejpam-5613	485	5	q	q	NOUN
ejpam-5613	485	6	≤	≤	NOUN
ejpam-5613	486	1	[	[	X
ejpam-5613	486	2	∫	∫	X
ejpam-5613	486	3	b	b	X
ejpam-5613	486	4	u	u	PROPN
ejpam-5613	486	5	∫	∫	PROPN
ejpam-5613	486	6	d	d	X
ejpam-5613	486	7	v	v	PROPN
ejpam-5613	486	8	(	(	PUNCT
ejpam-5613	486	9	∫	∫	PROPN
ejpam-5613	486	10	t	t	PROPN
ejpam-5613	486	11	u	u	X
ejpam-5613	486	12	∫	∫	PROPN
ejpam-5613	486	13	w	w	PROPN
ejpam-5613	486	14	c	c	PROPN
ejpam-5613	486	15	|α	|α	PROPN
ejpam-5613	486	16	(	(	PUNCT
ejpam-5613	486	17	s	s	PROPN
ejpam-5613	486	18	,	,	PUNCT
ejpam-5613	486	19	r)|	r)|	ADJ
ejpam-5613	486	20	drds	drd	NOUN
ejpam-5613	486	21	)	)	PUNCT
ejpam-5613	487	1	p	p	PRON
ejpam-5613	488	1	dwdt+	dwdt+	X
ejpam-5613	488	2	∫	∫	PROPN
ejpam-5613	488	3	u	u	NOUN
ejpam-5613	488	4	a	a	DET
ejpam-5613	488	5	∫	∫	PROPN
ejpam-5613	488	6	d	d	X
ejpam-5613	488	7	v	v	PROPN
ejpam-5613	488	8	(	(	PUNCT
ejpam-5613	488	9	∫	∫	PROPN
ejpam-5613	488	10	u	u	NOUN
ejpam-5613	488	11	t	t	PROPN
ejpam-5613	488	12	∫	∫	PROPN
ejpam-5613	488	13	w	w	PROPN
ejpam-5613	488	14	v	v	PROPN
ejpam-5613	488	15	|α	|α	NOUN
ejpam-5613	488	16	(	(	PUNCT
ejpam-5613	488	17	s	s	PROPN
ejpam-5613	488	18	,	,	PUNCT
ejpam-5613	488	19	r)|	r)|	ADJ
ejpam-5613	488	20	drds	drd	NOUN
ejpam-5613	488	21	)	)	PUNCT
ejpam-5613	488	22	p	p	NOUN
ejpam-5613	488	23	dwdt	dwdt	NOUN
ejpam-5613	488	24	+	+	CCONJ
ejpam-5613	488	25	∫	∫	PROPN
ejpam-5613	488	26	b	b	X
ejpam-5613	488	27	u	u	PROPN
ejpam-5613	488	28	∫	∫	PROPN
ejpam-5613	488	29	v	v	PROPN
ejpam-5613	488	30	c	c	PROPN
ejpam-5613	488	31	(	(	PUNCT
ejpam-5613	488	32	∫	∫	PROPN
ejpam-5613	488	33	t	t	PROPN
ejpam-5613	488	34	u	u	X
ejpam-5613	488	35	∫	∫	PROPN
ejpam-5613	488	36	v	v	PROPN
ejpam-5613	488	37	w	w	PROPN
ejpam-5613	488	38	|α	|α	PROPN
ejpam-5613	488	39	(	(	PUNCT
ejpam-5613	488	40	s	s	PROPN
ejpam-5613	488	41	,	,	PUNCT
ejpam-5613	488	42	r)|	r)|	ADJ
ejpam-5613	488	43	drds	drd	NOUN
ejpam-5613	488	44	)	)	PUNCT
ejpam-5613	489	1	p	p	PRON
ejpam-5613	489	2	dwdt+	dwdt+	X
ejpam-5613	489	3	∫	∫	PROPN
ejpam-5613	489	4	u	u	PROPN
ejpam-5613	489	5	a	a	DET
ejpam-5613	489	6	∫	∫	PROPN
ejpam-5613	489	7	v	v	ADP
ejpam-5613	489	8	c	c	PROPN
ejpam-5613	489	9	(	(	PUNCT
ejpam-5613	489	10	∫	∫	PROPN
ejpam-5613	489	11	u	u	X
ejpam-5613	489	12	t	t	PROPN
ejpam-5613	489	13	∫	∫	PROPN
ejpam-5613	489	14	v	v	PROPN
ejpam-5613	489	15	w	w	PROPN
ejpam-5613	489	16	|α	|α	PROPN
ejpam-5613	489	17	(	(	PUNCT
ejpam-5613	489	18	s	s	PROPN
ejpam-5613	489	19	,	,	PUNCT
ejpam-5613	489	20	r)|	r)|	ADJ
ejpam-5613	489	21	drds	drd	NOUN
ejpam-5613	489	22	)	)	PUNCT
ejpam-5613	489	23	p	p	NOUN
ejpam-5613	489	24	dwdt	dwdt	NOUN
ejpam-5613	489	25	]	]	PUNCT
ejpam-5613	489	26	1	1	NUM
ejpam-5613	489	27	p	p	NOUN
ejpam-5613	489	28	×	×	NOUN
ejpam-5613	490	1	[	[	X
ejpam-5613	490	2	∫	∫	X
ejpam-5613	490	3	b	b	X
ejpam-5613	490	4	u	u	PROPN
ejpam-5613	490	5	∫	∫	PROPN
ejpam-5613	490	6	d	d	X
ejpam-5613	490	7	v	v	ADP
ejpam-5613	490	8	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	490	9	∂2	∂2	NOUN
ejpam-5613	490	10	∂w∂t	∂w∂t	ADJ
ejpam-5613	490	11	y	y	PROPN
ejpam-5613	490	12	(	(	PUNCT
ejpam-5613	490	13	t	t	PROPN
ejpam-5613	490	14	,	,	PUNCT
ejpam-5613	490	15	w	w	PROPN
ejpam-5613	490	16	)	)	PUNCT
ejpam-5613	490	17	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	491	1	e1×e2	e1×e2	VERB
ejpam-5613	491	2	dwdt+	dwdt+	X
ejpam-5613	491	3	∫	∫	PROPN
ejpam-5613	491	4	u	u	PROPN
ejpam-5613	491	5	a	a	DET
ejpam-5613	491	6	∫	∫	PROPN
ejpam-5613	491	7	d	d	X
ejpam-5613	491	8	v	v	ADP
ejpam-5613	491	9	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	491	10	∂2	∂2	NOUN
ejpam-5613	491	11	∂w∂t	∂w∂t	ADJ
ejpam-5613	491	12	y	y	PROPN
ejpam-5613	491	13	(	(	PUNCT
ejpam-5613	491	14	t	t	PROPN
ejpam-5613	491	15	,	,	PUNCT
ejpam-5613	491	16	w	w	PROPN
ejpam-5613	491	17	)	)	PUNCT
ejpam-5613	491	18	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	492	1	e1×e2	e1×e2	VERB
ejpam-5613	492	2	dwdt	dwdt	NOUN
ejpam-5613	492	3	+	+	CCONJ
ejpam-5613	492	4	∫	∫	PROPN
ejpam-5613	492	5	b	b	X
ejpam-5613	492	6	u	u	PROPN
ejpam-5613	492	7	∫	∫	PROPN
ejpam-5613	492	8	v	v	ADP
ejpam-5613	492	9	c	c	PROPN
ejpam-5613	492	10	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	493	1	∂2	∂2	PROPN
ejpam-5613	493	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	493	3	y	y	PROPN
ejpam-5613	493	4	(	(	PUNCT
ejpam-5613	493	5	t	t	PROPN
ejpam-5613	493	6	,	,	PUNCT
ejpam-5613	493	7	w	w	PROPN
ejpam-5613	493	8	)	)	PUNCT
ejpam-5613	493	9	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	494	1	e1×e2	e1×e2	VERB
ejpam-5613	494	2	dwdt+	dwdt+	X
ejpam-5613	494	3	∫	∫	PROPN
ejpam-5613	494	4	u	u	PROPN
ejpam-5613	494	5	a	a	DET
ejpam-5613	494	6	∫	∫	PROPN
ejpam-5613	494	7	v	v	ADP
ejpam-5613	494	8	c	c	PROPN
ejpam-5613	494	9	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	495	1	∂2	∂2	PROPN
ejpam-5613	495	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	495	3	y	y	PROPN
ejpam-5613	495	4	(	(	PUNCT
ejpam-5613	495	5	t	t	PROPN
ejpam-5613	495	6	,	,	PUNCT
ejpam-5613	495	7	w	w	PROPN
ejpam-5613	495	8	)	)	PUNCT
ejpam-5613	495	9	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	496	1	e1×e2	e1×e2	VERB
ejpam-5613	496	2	dwdt	dwdt	NOUN
ejpam-5613	496	3	]	]	PUNCT
ejpam-5613	496	4	≤	≤	NUM
ejpam-5613	497	1	[	[	X
ejpam-5613	497	2	∫	∫	X
ejpam-5613	497	3	b	b	X
ejpam-5613	497	4	u	u	PROPN
ejpam-5613	497	5	∫	∫	PROPN
ejpam-5613	497	6	d	d	X
ejpam-5613	497	7	v	v	PROPN
ejpam-5613	497	8	(	(	PUNCT
ejpam-5613	497	9	∫	∫	PROPN
ejpam-5613	497	10	b	b	PROPN
ejpam-5613	497	11	u	u	NOUN
ejpam-5613	497	12	∫	∫	PROPN
ejpam-5613	497	13	d	d	PROPN
ejpam-5613	497	14	c	c	PROPN
ejpam-5613	497	15	|α	|α	PROPN
ejpam-5613	497	16	(	(	PUNCT
ejpam-5613	497	17	s	s	PROPN
ejpam-5613	497	18	,	,	PUNCT
ejpam-5613	497	19	r)|	r)|	ADJ
ejpam-5613	497	20	drds	drd	NOUN
ejpam-5613	497	21	)	)	PUNCT
ejpam-5613	497	22	p	p	PRON
ejpam-5613	497	23	dwdt+	dwdt+	X
ejpam-5613	497	24	∫	∫	PROPN
ejpam-5613	497	25	u	u	NOUN
ejpam-5613	497	26	a	a	DET
ejpam-5613	497	27	∫	∫	PROPN
ejpam-5613	497	28	d	d	X
ejpam-5613	497	29	v	v	PROPN
ejpam-5613	497	30	(	(	PUNCT
ejpam-5613	497	31	∫	∫	PROPN
ejpam-5613	497	32	u	u	PROPN
ejpam-5613	497	33	a	a	DET
ejpam-5613	497	34	∫	∫	PROPN
ejpam-5613	497	35	d	d	PROPN
ejpam-5613	497	36	v	v	PROPN
ejpam-5613	497	37	|α	|α	NOUN
ejpam-5613	497	38	(	(	PUNCT
ejpam-5613	497	39	s	s	PROPN
ejpam-5613	497	40	,	,	PUNCT
ejpam-5613	497	41	r)|	r)|	ADJ
ejpam-5613	497	42	drds	drd	NOUN
ejpam-5613	497	43	)	)	PUNCT
ejpam-5613	497	44	p	p	NOUN
ejpam-5613	497	45	dwdt	dwdt	NOUN
ejpam-5613	497	46	+	+	CCONJ
ejpam-5613	497	47	∫	∫	PROPN
ejpam-5613	497	48	b	b	X
ejpam-5613	497	49	u	u	PROPN
ejpam-5613	497	50	∫	∫	PROPN
ejpam-5613	497	51	v	v	PROPN
ejpam-5613	497	52	c	c	PROPN
ejpam-5613	497	53	(	(	PUNCT
ejpam-5613	497	54	∫	∫	PROPN
ejpam-5613	497	55	b	b	PROPN
ejpam-5613	497	56	u	u	PROPN
ejpam-5613	497	57	∫	∫	PROPN
ejpam-5613	497	58	v	v	PROPN
ejpam-5613	497	59	c	c	PROPN
ejpam-5613	497	60	|α	|α	PROPN
ejpam-5613	497	61	(	(	PUNCT
ejpam-5613	497	62	s	s	PROPN
ejpam-5613	497	63	,	,	PUNCT
ejpam-5613	497	64	r)|	r)|	ADJ
ejpam-5613	497	65	drds	drd	NOUN
ejpam-5613	497	66	)	)	PUNCT
ejpam-5613	497	67	p	p	PRON
ejpam-5613	497	68	dwdt+	dwdt+	X
ejpam-5613	497	69	∫	∫	PROPN
ejpam-5613	497	70	u	u	PROPN
ejpam-5613	497	71	a	a	DET
ejpam-5613	497	72	∫	∫	PROPN
ejpam-5613	497	73	v	v	ADP
ejpam-5613	497	74	c	c	PROPN
ejpam-5613	497	75	(	(	PUNCT
ejpam-5613	497	76	∫	∫	PROPN
ejpam-5613	497	77	u	u	PROPN
ejpam-5613	497	78	a	a	DET
ejpam-5613	497	79	∫	∫	PROPN
ejpam-5613	497	80	v	v	PROPN
ejpam-5613	497	81	c	c	PROPN
ejpam-5613	497	82	|α	|α	PROPN
ejpam-5613	497	83	(	(	PUNCT
ejpam-5613	497	84	s	s	PROPN
ejpam-5613	497	85	,	,	PUNCT
ejpam-5613	497	86	r)|	r)|	ADJ
ejpam-5613	497	87	drds	drd	NOUN
ejpam-5613	497	88	)	)	PUNCT
ejpam-5613	497	89	p	p	NOUN
ejpam-5613	497	90	dwdt	dwdt	NOUN
ejpam-5613	497	91	]	]	PUNCT
ejpam-5613	497	92	1	1	NUM
ejpam-5613	497	93	p	p	NOUN
ejpam-5613	497	94	×	×	NOUN
ejpam-5613	497	95	(	(	PUNCT
ejpam-5613	497	96	∫	∫	PROPN
ejpam-5613	497	97	b	b	PROPN
ejpam-5613	497	98	a	a	DET
ejpam-5613	497	99	∫	∫	PROPN
ejpam-5613	497	100	d	d	PROPN
ejpam-5613	497	101	c	c	PROPN
ejpam-5613	497	102	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	497	103	∂2	∂2	PROPN
ejpam-5613	497	104	∂w∂t	∂w∂t	ADJ
ejpam-5613	497	105	y	y	PROPN
ejpam-5613	497	106	(	(	PUNCT
ejpam-5613	497	107	t	t	PROPN
ejpam-5613	497	108	,	,	PUNCT
ejpam-5613	497	109	w	w	PROPN
ejpam-5613	497	110	)	)	PUNCT
ejpam-5613	497	111	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	498	1	e1×e2	e1×e2	VERB
ejpam-5613	498	2	dwdt	dwdt	NOUN
ejpam-5613	498	3	)	)	PUNCT
ejpam-5613	498	4	1	1	NUM
ejpam-5613	498	5	q	q	NOUN
ejpam-5613	498	6	,	,	PUNCT
ejpam-5613	498	7	o.	o.	PROPN
ejpam-5613	498	8	b.	b.	PROPN
ejpam-5613	498	9	almutairi	almutairi	PROPN
ejpam-5613	498	10	,	,	PUNCT
ejpam-5613	498	11	m.	m.	NOUN
ejpam-5613	498	12	a.	a.	PROPN
ejpam-5613	498	13	latif	latif	PROPN
ejpam-5613	498	14	/	/	SYM
ejpam-5613	498	15	eur	eur	PROPN
ejpam-5613	498	16	.	.	PUNCT
ejpam-5613	499	1	j.	j.	PROPN
ejpam-5613	499	2	pure	pure	PROPN
ejpam-5613	499	3	appl	appl	PROPN
ejpam-5613	499	4	.	.	PROPN
ejpam-5613	499	5	math	math	PROPN
ejpam-5613	499	6	,	,	PUNCT
ejpam-5613	499	7	18	18	NUM
ejpam-5613	499	8	(	(	PUNCT
ejpam-5613	499	9	1	1	NUM
ejpam-5613	499	10	)	)	PUNCT
ejpam-5613	499	11	(	(	PUNCT
ejpam-5613	499	12	2025	2025	NUM
ejpam-5613	499	13	)	)	PUNCT
ejpam-5613	499	14	,	,	PUNCT
ejpam-5613	499	15	5608	5608	NUM
ejpam-5613	499	16	20	20	NUM
ejpam-5613	499	17	of	of	ADP
ejpam-5613	499	18	33	33	NUM
ejpam-5613	499	19	=	=	SYM
ejpam-5613	499	20	[	[	PUNCT
ejpam-5613	499	21	(	(	PUNCT
ejpam-5613	499	22	b−	b−	PROPN
ejpam-5613	499	23	u	u	NOUN
ejpam-5613	499	24	)	)	PUNCT
ejpam-5613	499	25	(	(	PUNCT
ejpam-5613	499	26	d−	d−	PROPN
ejpam-5613	499	27	v	v	NOUN
ejpam-5613	499	28	)	)	PUNCT
ejpam-5613	499	29	(	(	PUNCT
ejpam-5613	499	30	∫	∫	PROPN
ejpam-5613	499	31	b	b	X
ejpam-5613	499	32	u	u	PROPN
ejpam-5613	499	33	∫	∫	PROPN
ejpam-5613	499	34	d	d	PROPN
ejpam-5613	499	35	v	v	PROPN
ejpam-5613	499	36	|α	|α	NOUN
ejpam-5613	499	37	(	(	PUNCT
ejpam-5613	499	38	s	s	PROPN
ejpam-5613	499	39	,	,	PUNCT
ejpam-5613	499	40	r)|	r)|	ADJ
ejpam-5613	499	41	drds	drd	NOUN
ejpam-5613	499	42	)	)	PUNCT
ejpam-5613	500	1	p	p	NOUN
ejpam-5613	501	1	+	+	X
ejpam-5613	501	2	(	(	PUNCT
ejpam-5613	501	3	u−	u−	PROPN
ejpam-5613	501	4	a	a	NOUN
ejpam-5613	501	5	)	)	PUNCT
ejpam-5613	501	6	(	(	PUNCT
ejpam-5613	501	7	d−	d−	PROPN
ejpam-5613	501	8	v	v	NOUN
ejpam-5613	501	9	)	)	PUNCT
ejpam-5613	501	10	(	(	PUNCT
ejpam-5613	501	11	∫	∫	PROPN
ejpam-5613	501	12	u	u	PROPN
ejpam-5613	501	13	a	a	DET
ejpam-5613	501	14	∫	∫	PROPN
ejpam-5613	501	15	d	d	PROPN
ejpam-5613	501	16	v	v	PROPN
ejpam-5613	501	17	|α	|α	NOUN
ejpam-5613	501	18	(	(	PUNCT
ejpam-5613	501	19	s	s	PROPN
ejpam-5613	501	20	,	,	PUNCT
ejpam-5613	501	21	r)|	r)|	ADJ
ejpam-5613	501	22	drds	drd	NOUN
ejpam-5613	501	23	)	)	PUNCT
ejpam-5613	501	24	p	p	X
ejpam-5613	502	1	+	+	PROPN
ejpam-5613	502	2	(	(	PUNCT
ejpam-5613	502	3	b−	b−	PROPN
ejpam-5613	502	4	u	u	NOUN
ejpam-5613	502	5	)	)	PUNCT
ejpam-5613	502	6	(	(	PUNCT
ejpam-5613	502	7	v	v	ADP
ejpam-5613	502	8	−	−	NOUN
ejpam-5613	502	9	c	c	NOUN
ejpam-5613	502	10	)	)	PUNCT
ejpam-5613	502	11	(	(	PUNCT
ejpam-5613	502	12	∫	∫	PROPN
ejpam-5613	502	13	b	b	SYM
ejpam-5613	502	14	u	u	PROPN
ejpam-5613	502	15	∫	∫	PROPN
ejpam-5613	502	16	v	v	PROPN
ejpam-5613	502	17	c	c	PROPN
ejpam-5613	502	18	|α	|α	PROPN
ejpam-5613	502	19	(	(	PUNCT
ejpam-5613	502	20	s	s	PROPN
ejpam-5613	502	21	,	,	PUNCT
ejpam-5613	502	22	r)|	r)|	ADJ
ejpam-5613	502	23	drds	drd	NOUN
ejpam-5613	502	24	)	)	PUNCT
ejpam-5613	503	1	p	p	NOUN
ejpam-5613	504	1	+	+	X
ejpam-5613	504	2	(	(	PUNCT
ejpam-5613	504	3	u−	u−	PROPN
ejpam-5613	504	4	a	a	NOUN
ejpam-5613	504	5	)	)	PUNCT
ejpam-5613	504	6	(	(	PUNCT
ejpam-5613	504	7	v	v	NOUN
ejpam-5613	504	8	−	−	NOUN
ejpam-5613	504	9	c	c	NOUN
ejpam-5613	504	10	)	)	PUNCT
ejpam-5613	504	11	(	(	PUNCT
ejpam-5613	504	12	∫	∫	PROPN
ejpam-5613	504	13	u	u	PROPN
ejpam-5613	504	14	a	a	DET
ejpam-5613	504	15	∫	∫	PROPN
ejpam-5613	504	16	v	v	PROPN
ejpam-5613	504	17	c	c	PROPN
ejpam-5613	504	18	|α	|α	PROPN
ejpam-5613	504	19	(	(	PUNCT
ejpam-5613	504	20	s	s	PROPN
ejpam-5613	504	21	,	,	PUNCT
ejpam-5613	504	22	r)|	r)|	ADJ
ejpam-5613	504	23	drds	drd	NOUN
ejpam-5613	504	24	)	)	PUNCT
ejpam-5613	505	1	p	p	X
ejpam-5613	505	2	]	]	PUNCT
ejpam-5613	505	3	1	1	NUM
ejpam-5613	505	4	p	p	NOUN
ejpam-5613	505	5	×	×	NOUN
ejpam-5613	505	6	(	(	PUNCT
ejpam-5613	505	7	∫	∫	PROPN
ejpam-5613	505	8	b	b	PROPN
ejpam-5613	505	9	a	a	DET
ejpam-5613	505	10	∫	∫	PROPN
ejpam-5613	505	11	d	d	PROPN
ejpam-5613	505	12	c	c	PROPN
ejpam-5613	505	13	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	506	1	∂2	∂2	PROPN
ejpam-5613	506	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	506	3	y	y	PROPN
ejpam-5613	506	4	(	(	PUNCT
ejpam-5613	506	5	t	t	PROPN
ejpam-5613	506	6	,	,	PUNCT
ejpam-5613	506	7	w	w	PROPN
ejpam-5613	506	8	)	)	PUNCT
ejpam-5613	506	9	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	507	1	e1×e2	e1×e2	VERB
ejpam-5613	507	2	dwdt	dwdt	NOUN
ejpam-5613	507	3	)	)	PUNCT
ejpam-5613	508	1	1	1	NUM
ejpam-5613	508	2	q	q	NOUN
ejpam-5613	508	3	≤	≤	NUM
ejpam-5613	509	1	[	[	X
ejpam-5613	509	2	(	(	PUNCT
ejpam-5613	509	3	b−	b−	NOUN
ejpam-5613	509	4	a	a	NOUN
ejpam-5613	509	5	)	)	PUNCT
ejpam-5613	509	6	(	(	PUNCT
ejpam-5613	509	7	d−	d−	PROPN
ejpam-5613	509	8	c	c	PROPN
ejpam-5613	509	9	)	)	PUNCT
ejpam-5613	509	10	]	]	PUNCT
ejpam-5613	510	1	1	1	NUM
ejpam-5613	510	2	p	p	X
ejpam-5613	510	3	[	[	X
ejpam-5613	510	4	(	(	PUNCT
ejpam-5613	510	5	∫	∫	PROPN
ejpam-5613	510	6	b	b	PROPN
ejpam-5613	510	7	u	u	NOUN
ejpam-5613	510	8	∫	∫	PROPN
ejpam-5613	510	9	d	d	PROPN
ejpam-5613	510	10	c	c	PROPN
ejpam-5613	510	11	|α	|α	PROPN
ejpam-5613	510	12	(	(	PUNCT
ejpam-5613	510	13	s	s	PROPN
ejpam-5613	510	14	,	,	PUNCT
ejpam-5613	510	15	r)|	r)|	ADJ
ejpam-5613	510	16	drds	drd	NOUN
ejpam-5613	510	17	)	)	PUNCT
ejpam-5613	510	18	p	p	X
ejpam-5613	511	1	+	+	CCONJ
ejpam-5613	511	2	(	(	PUNCT
ejpam-5613	511	3	∫	∫	PROPN
ejpam-5613	511	4	u	u	PROPN
ejpam-5613	511	5	a	a	DET
ejpam-5613	511	6	∫	∫	PROPN
ejpam-5613	511	7	d	d	PROPN
ejpam-5613	511	8	v	v	PROPN
ejpam-5613	511	9	|α	|α	NOUN
ejpam-5613	511	10	(	(	PUNCT
ejpam-5613	511	11	s	s	PROPN
ejpam-5613	511	12	,	,	PUNCT
ejpam-5613	511	13	r)|	r)|	ADJ
ejpam-5613	511	14	drds	drd	NOUN
ejpam-5613	511	15	)	)	PUNCT
ejpam-5613	512	1	p	p	X
ejpam-5613	512	2	+	+	X
ejpam-5613	512	3	(	(	PUNCT
ejpam-5613	512	4	∫	∫	PROPN
ejpam-5613	512	5	b	b	PROPN
ejpam-5613	512	6	u	u	PROPN
ejpam-5613	512	7	∫	∫	PROPN
ejpam-5613	512	8	v	v	PROPN
ejpam-5613	512	9	c	c	PROPN
ejpam-5613	512	10	|α	|α	PROPN
ejpam-5613	512	11	(	(	PUNCT
ejpam-5613	512	12	s	s	PROPN
ejpam-5613	512	13	,	,	PUNCT
ejpam-5613	512	14	r)|	r)|	ADJ
ejpam-5613	512	15	drds	drd	NOUN
ejpam-5613	512	16	)	)	PUNCT
ejpam-5613	513	1	p	p	X
ejpam-5613	513	2	+	+	CCONJ
ejpam-5613	513	3	(	(	PUNCT
ejpam-5613	513	4	∫	∫	PROPN
ejpam-5613	513	5	u	u	PROPN
ejpam-5613	513	6	a	a	DET
ejpam-5613	513	7	∫	∫	PROPN
ejpam-5613	513	8	v	v	PROPN
ejpam-5613	513	9	c	c	PROPN
ejpam-5613	513	10	|α	|α	PROPN
ejpam-5613	513	11	(	(	PUNCT
ejpam-5613	513	12	s	s	PROPN
ejpam-5613	513	13	,	,	PUNCT
ejpam-5613	513	14	r)|	r)|	ADJ
ejpam-5613	513	15	drds	drd	NOUN
ejpam-5613	513	16	)	)	PUNCT
ejpam-5613	514	1	p	p	X
ejpam-5613	514	2	]	]	PUNCT
ejpam-5613	514	3	1	1	NUM
ejpam-5613	514	4	p	p	NOUN
ejpam-5613	514	5	×	×	NOUN
ejpam-5613	514	6	(	(	PUNCT
ejpam-5613	514	7	∫	∫	PROPN
ejpam-5613	514	8	b	b	PROPN
ejpam-5613	514	9	a	a	DET
ejpam-5613	514	10	∫	∫	PROPN
ejpam-5613	514	11	d	d	PROPN
ejpam-5613	514	12	c	c	PROPN
ejpam-5613	514	13	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	515	1	∂2	∂2	PROPN
ejpam-5613	515	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	515	3	y	y	PROPN
ejpam-5613	515	4	(	(	PUNCT
ejpam-5613	515	5	t	t	PROPN
ejpam-5613	515	6	,	,	PUNCT
ejpam-5613	515	7	w	w	PROPN
ejpam-5613	515	8	)	)	PUNCT
ejpam-5613	515	9	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	516	1	e1×e2	e1×e2	VERB
ejpam-5613	516	2	dwdt	dwdt	NOUN
ejpam-5613	516	3	)	)	PUNCT
ejpam-5613	516	4	1	1	NUM
ejpam-5613	516	5	q	q	NOUN
ejpam-5613	516	6	.	.	PUNCT
ejpam-5613	517	1	(	(	PUNCT
ejpam-5613	517	2	2.24	2.24	NUM
ejpam-5613	517	3	)	)	PUNCT
ejpam-5613	517	4	hence	hence	ADV
ejpam-5613	517	5	the	the	DET
ejpam-5613	517	6	result	result	NOUN
ejpam-5613	517	7	is	be	AUX
ejpam-5613	517	8	established	establish	VERB
ejpam-5613	517	9	.	.	PUNCT
ejpam-5613	518	1	remark	remark	PROPN
ejpam-5613	518	2	1	1	NUM
ejpam-5613	518	3	.	.	PUNCT
ejpam-5613	518	4	if(m	if(m	X
ejpam-5613	518	5	,	,	PUNCT
ejpam-5613	518	6	n	n	CCONJ
ejpam-5613	518	7	)	)	PUNCT
ejpam-5613	518	8	∈	∈	PROPN
ejpam-5613	518	9	(	(	PUNCT
ejpam-5613	518	10	a	a	PRON
ejpam-5613	518	11	,	,	PUNCT
ejpam-5613	518	12	b)×	b)×	X
ejpam-5613	518	13	(	(	PUNCT
ejpam-5613	518	14	c	c	X
ejpam-5613	518	15	,	,	PUNCT
ejpam-5613	518	16	d	d	NOUN
ejpam-5613	518	17	)	)	PUNCT
ejpam-5613	518	18	such	such	ADJ
ejpam-5613	518	19	that	that	SCONJ
ejpam-5613	518	20	the	the	DET
ejpam-5613	518	21	following	follow	VERB
ejpam-5613	518	22	equalities	equalities	PROPN
ejpam-5613	518	23	hold:∫	hold:∫	PROPN
ejpam-5613	519	1	b	b	PROPN
ejpam-5613	519	2	m	m	PROPN
ejpam-5613	519	3	∫	∫	PROPN
ejpam-5613	519	4	d	d	PROPN
ejpam-5613	519	5	n	n	PROPN
ejpam-5613	519	6	|α	|α	NOUN
ejpam-5613	519	7	(	(	PUNCT
ejpam-5613	519	8	s	s	PROPN
ejpam-5613	519	9	,	,	PUNCT
ejpam-5613	519	10	r)|	r)|	ADJ
ejpam-5613	519	11	drds	drd	NOUN
ejpam-5613	519	12	=	=	SYM
ejpam-5613	519	13	∫	∫	PROPN
ejpam-5613	519	14	m	m	VERB
ejpam-5613	520	1	a	a	DET
ejpam-5613	520	2	∫	∫	PROPN
ejpam-5613	520	3	d	d	PROPN
ejpam-5613	520	4	n	n	PROPN
ejpam-5613	520	5	|α	|α	NOUN
ejpam-5613	520	6	(	(	PUNCT
ejpam-5613	520	7	s	s	PROPN
ejpam-5613	520	8	,	,	PUNCT
ejpam-5613	520	9	r)|	r)|	ADJ
ejpam-5613	520	10	drds	drd	NOUN
ejpam-5613	520	11	=	=	PUNCT
ejpam-5613	520	12	∫	∫	PROPN
ejpam-5613	520	13	b	b	PROPN
ejpam-5613	520	14	m	m	VERB
ejpam-5613	520	15	∫	∫	PROPN
ejpam-5613	520	16	n	n	PROPN
ejpam-5613	520	17	c	c	PROPN
ejpam-5613	520	18	|α	|α	NOUN
ejpam-5613	520	19	(	(	PUNCT
ejpam-5613	520	20	s	s	PROPN
ejpam-5613	520	21	,	,	PUNCT
ejpam-5613	520	22	r)|	r)|	ADJ
ejpam-5613	520	23	drds	drd	NOUN
ejpam-5613	520	24	=	=	SYM
ejpam-5613	520	25	∫	∫	PROPN
ejpam-5613	520	26	m	m	VERB
ejpam-5613	520	27	a	a	DET
ejpam-5613	520	28	∫	∫	PROPN
ejpam-5613	520	29	n	n	PROPN
ejpam-5613	520	30	c	c	PROPN
ejpam-5613	520	31	|α	|α	NOUN
ejpam-5613	520	32	(	(	PUNCT
ejpam-5613	520	33	s	s	PROPN
ejpam-5613	520	34	,	,	PUNCT
ejpam-5613	520	35	r)|	r)|	ADJ
ejpam-5613	520	36	drds	drd	NOUN
ejpam-5613	520	37	=	=	SYM
ejpam-5613	520	38	1	1	NUM
ejpam-5613	520	39	4	4	NUM
ejpam-5613	520	40	∫	∫	PROPN
ejpam-5613	520	41	b	b	PROPN
ejpam-5613	520	42	a	a	DET
ejpam-5613	520	43	∫	∫	PROPN
ejpam-5613	520	44	d	d	PROPN
ejpam-5613	520	45	c	c	PROPN
ejpam-5613	520	46	|α	|α	PROPN
ejpam-5613	520	47	(	(	PUNCT
ejpam-5613	520	48	s	s	PROPN
ejpam-5613	520	49	,	,	PUNCT
ejpam-5613	520	50	r)|	r)|	ADJ
ejpam-5613	520	51	drds	drd	NOUN
ejpam-5613	520	52	.	.	PUNCT
ejpam-5613	521	1	(	(	PUNCT
ejpam-5613	521	2	2.25	2.25	NUM
ejpam-5613	521	3	)	)	PUNCT
ejpam-5613	521	4	then	then	ADV
ejpam-5613	521	5	from	from	ADP
ejpam-5613	521	6	(	(	PUNCT
ejpam-5613	521	7	2.23	2.23	NUM
ejpam-5613	521	8	)	)	PUNCT
ejpam-5613	521	9	,	,	PUNCT
ejpam-5613	521	10	we	we	PRON
ejpam-5613	521	11	can	can	AUX
ejpam-5613	521	12	get	get	VERB
ejpam-5613	521	13	the	the	DET
ejpam-5613	521	14	following	follow	VERB
ejpam-5613	521	15	inequality:∥∥∥∥(∫	inequality:∥∥∥∥(∫	PROPN
ejpam-5613	521	16	b	b	PROPN
ejpam-5613	521	17	u	u	NOUN
ejpam-5613	521	18	∫	∫	PROPN
ejpam-5613	521	19	d	d	X
ejpam-5613	521	20	v	v	ADP
ejpam-5613	521	21	α	α	PROPN
ejpam-5613	521	22	(	(	PUNCT
ejpam-5613	521	23	s	s	X
ejpam-5613	521	24	,	,	PUNCT
ejpam-5613	521	25	r	r	NOUN
ejpam-5613	521	26	)	)	PUNCT
ejpam-5613	521	27	drds	drd	NOUN
ejpam-5613	521	28	)	)	PUNCT
ejpam-5613	522	1	y	y	PROPN
ejpam-5613	522	2	(	(	PUNCT
ejpam-5613	522	3	b	b	NOUN
ejpam-5613	522	4	,	,	PUNCT
ejpam-5613	522	5	d	d	NOUN
ejpam-5613	522	6	)	)	PUNCT
ejpam-5613	523	1	+	+	CCONJ
ejpam-5613	523	2	(	(	PUNCT
ejpam-5613	523	3	∫	∫	PROPN
ejpam-5613	523	4	u	u	PROPN
ejpam-5613	523	5	a	a	DET
ejpam-5613	523	6	∫	∫	PROPN
ejpam-5613	523	7	d	d	X
ejpam-5613	523	8	v	v	ADP
ejpam-5613	523	9	α	α	PROPN
ejpam-5613	523	10	(	(	PUNCT
ejpam-5613	523	11	s	s	X
ejpam-5613	523	12	,	,	PUNCT
ejpam-5613	523	13	r	r	NOUN
ejpam-5613	523	14	)	)	PUNCT
ejpam-5613	523	15	drds	drd	NOUN
ejpam-5613	523	16	)	)	PUNCT
ejpam-5613	523	17	y	y	PROPN
ejpam-5613	523	18	(	(	PUNCT
ejpam-5613	523	19	a	a	DET
ejpam-5613	523	20	,	,	PUNCT
ejpam-5613	523	21	d	d	NOUN
ejpam-5613	523	22	)	)	PUNCT
ejpam-5613	524	1	+	+	CCONJ
ejpam-5613	524	2	(	(	PUNCT
ejpam-5613	524	3	∫	∫	PROPN
ejpam-5613	524	4	b	b	SYM
ejpam-5613	524	5	u	u	PROPN
ejpam-5613	524	6	∫	∫	PROPN
ejpam-5613	524	7	v	v	X
ejpam-5613	524	8	c	c	PROPN
ejpam-5613	524	9	α	α	PROPN
ejpam-5613	524	10	(	(	PUNCT
ejpam-5613	524	11	s	s	X
ejpam-5613	524	12	,	,	PUNCT
ejpam-5613	524	13	r	r	NOUN
ejpam-5613	524	14	)	)	PUNCT
ejpam-5613	524	15	drds	drd	NOUN
ejpam-5613	524	16	)	)	PUNCT
ejpam-5613	524	17	y	y	PROPN
ejpam-5613	524	18	(	(	PUNCT
ejpam-5613	524	19	b	b	NOUN
ejpam-5613	524	20	,	,	PUNCT
ejpam-5613	524	21	c	c	NOUN
ejpam-5613	524	22	)	)	PUNCT
ejpam-5613	525	1	+	+	CCONJ
ejpam-5613	525	2	(	(	PUNCT
ejpam-5613	525	3	∫	∫	PROPN
ejpam-5613	525	4	u	u	PROPN
ejpam-5613	525	5	a	a	DET
ejpam-5613	525	6	∫	∫	PROPN
ejpam-5613	525	7	v	v	NOUN
ejpam-5613	525	8	c	c	NOUN
ejpam-5613	525	9	α	α	PROPN
ejpam-5613	525	10	(	(	PUNCT
ejpam-5613	525	11	s	s	X
ejpam-5613	525	12	,	,	PUNCT
ejpam-5613	525	13	r	r	NOUN
ejpam-5613	525	14	)	)	PUNCT
ejpam-5613	525	15	drds	drd	NOUN
ejpam-5613	525	16	)	)	PUNCT
ejpam-5613	525	17	y	y	PROPN
ejpam-5613	525	18	(	(	PUNCT
ejpam-5613	525	19	a	a	PRON
ejpam-5613	525	20	,	,	PUNCT
ejpam-5613	525	21	c	c	NOUN
ejpam-5613	525	22	)	)	PUNCT
ejpam-5613	526	1	−	−	NOUN
ejpam-5613	526	2	∫	∫	PROPN
ejpam-5613	527	1	b	b	PROPN
ejpam-5613	527	2	a	a	DET
ejpam-5613	527	3	y	y	PROPN
ejpam-5613	527	4	(	(	PUNCT
ejpam-5613	527	5	t	t	PROPN
ejpam-5613	527	6	,	,	PUNCT
ejpam-5613	527	7	d	d	NOUN
ejpam-5613	527	8	)	)	PUNCT
ejpam-5613	527	9	(	(	PUNCT
ejpam-5613	527	10	∫	∫	PROPN
ejpam-5613	527	11	d	d	X
ejpam-5613	527	12	v	v	ADP
ejpam-5613	527	13	α	α	PROPN
ejpam-5613	527	14	(	(	PUNCT
ejpam-5613	527	15	t	t	PROPN
ejpam-5613	527	16	,	,	PUNCT
ejpam-5613	527	17	r	r	NOUN
ejpam-5613	527	18	)	)	PUNCT
ejpam-5613	527	19	dr	dr	PROPN
ejpam-5613	527	20	)	)	PUNCT
ejpam-5613	527	21	dt−	dt−	PROPN
ejpam-5613	527	22	∫	∫	PROPN
ejpam-5613	528	1	b	b	PROPN
ejpam-5613	528	2	a	a	DET
ejpam-5613	528	3	y	y	PROPN
ejpam-5613	528	4	(	(	PUNCT
ejpam-5613	528	5	t	t	PROPN
ejpam-5613	528	6	,	,	PUNCT
ejpam-5613	528	7	c	c	NOUN
ejpam-5613	528	8	)	)	PUNCT
ejpam-5613	528	9	(	(	PUNCT
ejpam-5613	528	10	∫	∫	PROPN
ejpam-5613	528	11	v	v	X
ejpam-5613	528	12	c	c	PROPN
ejpam-5613	528	13	α	α	PROPN
ejpam-5613	528	14	(	(	PUNCT
ejpam-5613	528	15	t	t	PROPN
ejpam-5613	528	16	,	,	PUNCT
ejpam-5613	528	17	r	r	NOUN
ejpam-5613	528	18	)	)	PUNCT
ejpam-5613	528	19	dr	dr	PROPN
ejpam-5613	528	20	)	)	PUNCT
ejpam-5613	528	21	dt	dt	PROPN
ejpam-5613	529	1	−	−	PROPN
ejpam-5613	529	2	∫	∫	PROPN
ejpam-5613	530	1	d	d	X
ejpam-5613	530	2	c	c	PROPN
ejpam-5613	530	3	y	y	PROPN
ejpam-5613	530	4	(	(	PUNCT
ejpam-5613	530	5	b	b	PROPN
ejpam-5613	530	6	,	,	PUNCT
ejpam-5613	530	7	w	w	NOUN
ejpam-5613	530	8	)	)	PUNCT
ejpam-5613	530	9	(	(	PUNCT
ejpam-5613	530	10	∫	∫	PROPN
ejpam-5613	530	11	b	b	PROPN
ejpam-5613	530	12	u	u	PROPN
ejpam-5613	530	13	α	α	PROPN
ejpam-5613	530	14	(	(	PUNCT
ejpam-5613	530	15	s	s	PROPN
ejpam-5613	530	16	,	,	PUNCT
ejpam-5613	530	17	w	w	NOUN
ejpam-5613	530	18	)	)	PUNCT
ejpam-5613	530	19	ds	ds	ADJ
ejpam-5613	530	20	)	)	PUNCT
ejpam-5613	530	21	dw	dw	NOUN
ejpam-5613	531	1	−	−	PROPN
ejpam-5613	531	2	∫	∫	PROPN
ejpam-5613	532	1	d	d	X
ejpam-5613	532	2	c	c	PROPN
ejpam-5613	532	3	y	y	PROPN
ejpam-5613	532	4	(	(	PUNCT
ejpam-5613	532	5	a	a	DET
ejpam-5613	532	6	,	,	PUNCT
ejpam-5613	532	7	w	w	NOUN
ejpam-5613	532	8	)	)	PUNCT
ejpam-5613	532	9	(	(	PUNCT
ejpam-5613	532	10	∫	∫	PROPN
ejpam-5613	532	11	u	u	PROPN
ejpam-5613	532	12	a	a	PRON
ejpam-5613	532	13	α	α	X
ejpam-5613	532	14	(	(	PUNCT
ejpam-5613	532	15	s	s	PROPN
ejpam-5613	532	16	,	,	PUNCT
ejpam-5613	532	17	w	w	NOUN
ejpam-5613	532	18	)	)	PUNCT
ejpam-5613	532	19	ds	ds	ADJ
ejpam-5613	532	20	)	)	PUNCT
ejpam-5613	532	21	dw	dw	NOUN
ejpam-5613	532	22	−	−	PROPN
ejpam-5613	532	23	∫	∫	PROPN
ejpam-5613	532	24	b	b	PROPN
ejpam-5613	532	25	a	a	DET
ejpam-5613	532	26	∫	∫	PROPN
ejpam-5613	532	27	d	d	X
ejpam-5613	532	28	c	c	PROPN
ejpam-5613	532	29	α	α	PROPN
ejpam-5613	532	30	(	(	PUNCT
ejpam-5613	532	31	t	t	PROPN
ejpam-5613	532	32	,	,	PUNCT
ejpam-5613	532	33	w)y	w)y	X
ejpam-5613	532	34	(	(	PUNCT
ejpam-5613	532	35	t	t	PROPN
ejpam-5613	532	36	,	,	PUNCT
ejpam-5613	532	37	w	w	NOUN
ejpam-5613	532	38	)	)	PUNCT
ejpam-5613	532	39	dwdt	dwdt	NOUN
ejpam-5613	532	40	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	532	41	e1×e2	e1×e2	VERB
ejpam-5613	532	42	≤	≤	NOUN
ejpam-5613	533	1	[	[	X
ejpam-5613	533	2	(	(	PUNCT
ejpam-5613	533	3	b−	b−	NOUN
ejpam-5613	533	4	a	a	NOUN
ejpam-5613	533	5	)	)	PUNCT
ejpam-5613	533	6	(	(	PUNCT
ejpam-5613	533	7	d−	d−	PROPN
ejpam-5613	533	8	c	c	PROPN
ejpam-5613	533	9	)	)	PUNCT
ejpam-5613	533	10	]	]	PUNCT
ejpam-5613	534	1	1	1	NUM
ejpam-5613	534	2	p	p	SYM
ejpam-5613	534	3	4	4	NUM
ejpam-5613	534	4	∫	∫	PROPN
ejpam-5613	534	5	b	b	PROPN
ejpam-5613	534	6	a	a	DET
ejpam-5613	534	7	∫	∫	PROPN
ejpam-5613	534	8	d	d	PROPN
ejpam-5613	534	9	c	c	PROPN
ejpam-5613	534	10	|α	|α	PROPN
ejpam-5613	534	11	(	(	PUNCT
ejpam-5613	534	12	s	s	PROPN
ejpam-5613	534	13	,	,	PUNCT
ejpam-5613	534	14	r)|	r)|	ADJ
ejpam-5613	534	15	drds	drd	NOUN
ejpam-5613	534	16	o.	o.	PROPN
ejpam-5613	534	17	b.	b.	PROPN
ejpam-5613	534	18	almutairi	almutairi	PROPN
ejpam-5613	534	19	,	,	PUNCT
ejpam-5613	534	20	m.	m.	NOUN
ejpam-5613	534	21	a.	a.	PROPN
ejpam-5613	534	22	latif	latif	PROPN
ejpam-5613	534	23	/	/	SYM
ejpam-5613	534	24	eur	eur	PROPN
ejpam-5613	534	25	.	.	PUNCT
ejpam-5613	535	1	j.	j.	PROPN
ejpam-5613	535	2	pure	pure	PROPN
ejpam-5613	535	3	appl	appl	PROPN
ejpam-5613	535	4	.	.	PROPN
ejpam-5613	535	5	math	math	PROPN
ejpam-5613	535	6	,	,	PUNCT
ejpam-5613	535	7	18	18	NUM
ejpam-5613	535	8	(	(	PUNCT
ejpam-5613	535	9	1	1	NUM
ejpam-5613	535	10	)	)	PUNCT
ejpam-5613	535	11	(	(	PUNCT
ejpam-5613	535	12	2025	2025	NUM
ejpam-5613	535	13	)	)	PUNCT
ejpam-5613	535	14	,	,	PUNCT
ejpam-5613	535	15	5608	5608	NUM
ejpam-5613	535	16	21	21	NUM
ejpam-5613	535	17	of	of	ADP
ejpam-5613	535	18	33	33	NUM
ejpam-5613	535	19	×	×	NOUN
ejpam-5613	535	20	(	(	PUNCT
ejpam-5613	535	21	∫	∫	PROPN
ejpam-5613	535	22	b	b	PROPN
ejpam-5613	535	23	a	a	DET
ejpam-5613	535	24	∫	∫	PROPN
ejpam-5613	535	25	d	d	PROPN
ejpam-5613	535	26	c	c	PROPN
ejpam-5613	535	27	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	535	28	∂2	∂2	PROPN
ejpam-5613	535	29	∂w∂t	∂w∂t	ADJ
ejpam-5613	535	30	y	y	PROPN
ejpam-5613	535	31	(	(	PUNCT
ejpam-5613	535	32	t	t	PROPN
ejpam-5613	535	33	,	,	PUNCT
ejpam-5613	535	34	w	w	PROPN
ejpam-5613	535	35	)	)	PUNCT
ejpam-5613	535	36	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	536	1	e1×e2	e1×e2	VERB
ejpam-5613	536	2	dwdt	dwdt	NOUN
ejpam-5613	536	3	)	)	PUNCT
ejpam-5613	536	4	1	1	NUM
ejpam-5613	536	5	q	q	NOUN
ejpam-5613	536	6	.	.	PUNCT
ejpam-5613	537	1	(	(	PUNCT
ejpam-5613	537	2	2.26	2.26	NUM
ejpam-5613	537	3	)	)	PUNCT
ejpam-5613	537	4	a	a	DET
ejpam-5613	537	5	result	result	NOUN
ejpam-5613	537	6	that	that	PRON
ejpam-5613	537	7	is	be	AUX
ejpam-5613	537	8	directly	directly	ADV
ejpam-5613	537	9	linked	link	VERB
ejpam-5613	537	10	to	to	ADP
ejpam-5613	537	11	theorem	theorem	VERB
ejpam-5613	537	12	4	4	NUM
ejpam-5613	537	13	is	be	AUX
ejpam-5613	537	14	given	give	VERB
ejpam-5613	537	15	as	as	SCONJ
ejpam-5613	537	16	follows	follow	VERB
ejpam-5613	537	17	:	:	PUNCT
ejpam-5613	537	18	corollary	corollary	ADJ
ejpam-5613	537	19	3	3	X
ejpam-5613	537	20	.	.	PUNCT
ejpam-5613	537	21	assume	assume	VERB
ejpam-5613	537	22	that	that	SCONJ
ejpam-5613	537	23	α	α	PRON
ejpam-5613	537	24	:	:	PUNCT
ejpam-5613	538	1	[	[	X
ejpam-5613	538	2	a	a	X
ejpam-5613	538	3	,	,	PUNCT
ejpam-5613	538	4	b	b	NOUN
ejpam-5613	538	5	]	]	X
ejpam-5613	538	6	×	×	NOUN
ejpam-5613	538	7	[	[	X
ejpam-5613	538	8	c	c	X
ejpam-5613	538	9	,	,	PUNCT
ejpam-5613	538	10	d	d	X
ejpam-5613	538	11	]	]	X
ejpam-5613	538	12	→	→	SYM
ejpam-5613	538	13	c	c	PROPN
ejpam-5613	538	14	and	and	CCONJ
ejpam-5613	538	15	y	y	NOUN
ejpam-5613	538	16	:	:	PUNCT
ejpam-5613	539	1	[	[	X
ejpam-5613	539	2	a	a	X
ejpam-5613	539	3	,	,	PUNCT
ejpam-5613	539	4	b	b	NOUN
ejpam-5613	539	5	]	]	X
ejpam-5613	539	6	×	×	NOUN
ejpam-5613	539	7	[	[	X
ejpam-5613	539	8	c	c	X
ejpam-5613	539	9	,	,	PUNCT
ejpam-5613	539	10	d	d	X
ejpam-5613	539	11	]	]	X
ejpam-5613	539	12	→	→	PUNCT
ejpam-5613	539	13	e1	e1	PROPN
ejpam-5613	539	14	×	×	PROPN
ejpam-5613	539	15	e2	e2	NOUN
ejpam-5613	539	16	are	be	AUX
ejpam-5613	539	17	continuous	continuous	ADJ
ejpam-5613	539	18	and	and	CCONJ
ejpam-5613	539	19	∂y	∂y	PROPN
ejpam-5613	539	20	∂t	∂t	PROPN
ejpam-5613	539	21	,	,	PUNCT
ejpam-5613	539	22	∂y	∂y	PROPN
ejpam-5613	539	23	∂w	∂w	PROPN
ejpam-5613	539	24	,	,	PUNCT
ejpam-5613	539	25	∂2y	∂2y	PROPN
ejpam-5613	539	26	∂t∂w	∂t∂w	NOUN
ejpam-5613	539	27	exist	exist	VERB
ejpam-5613	539	28	on	on	ADP
ejpam-5613	539	29	(	(	PUNCT
ejpam-5613	539	30	a	a	PRON
ejpam-5613	539	31	,	,	PUNCT
ejpam-5613	539	32	b	b	NOUN
ejpam-5613	539	33	)	)	PUNCT
ejpam-5613	539	34	×	×	NOUN
ejpam-5613	539	35	(	(	PUNCT
ejpam-5613	539	36	c	c	X
ejpam-5613	539	37	,	,	PUNCT
ejpam-5613	539	38	d	d	NOUN
ejpam-5613	539	39	)	)	PUNCT
ejpam-5613	539	40	in	in	ADP
ejpam-5613	539	41	the	the	DET
ejpam-5613	539	42	norm	norm	NOUN
ejpam-5613	539	43	topology	topology	NOUN
ejpam-5613	539	44	∥(x	∥(x	NOUN
ejpam-5613	539	45	,	,	PUNCT
ejpam-5613	539	46	y)∥x×y	y)∥x×y	NOUN
ejpam-5613	539	47	=	=	SYM
ejpam-5613	539	48	∥x∥x	∥x∥x	PUNCT
ejpam-5613	539	49	+	+	NUM
ejpam-5613	539	50	∥y∥y	∥y∥y	NOUN
ejpam-5613	539	51	of	of	ADP
ejpam-5613	539	52	e1	e1	NOUN
ejpam-5613	539	53	×e2	×e2	PROPN
ejpam-5613	539	54	,	,	PUNCT
ejpam-5613	539	55	(	(	PUNCT
ejpam-5613	539	56	x	x	NOUN
ejpam-5613	539	57	,	,	PUNCT
ejpam-5613	539	58	y	y	NOUN
ejpam-5613	539	59	)	)	PUNCT
ejpam-5613	539	60	∈	∈	PROPN
ejpam-5613	539	61	e1	e1	NOUN
ejpam-5613	539	62	×e2	×e2	PROPN
ejpam-5613	539	63	,	,	PUNCT
ejpam-5613	539	64	then	then	ADV
ejpam-5613	539	65	the	the	DET
ejpam-5613	539	66	following	follow	VERB
ejpam-5613	539	67	inequalities	inequality	NOUN
ejpam-5613	539	68	hold	hold	VERB
ejpam-5613	539	69	true	true	ADJ
ejpam-5613	539	70	for	for	ADP
ejpam-5613	539	71	p	p	NOUN
ejpam-5613	539	72	,	,	PUNCT
ejpam-5613	539	73	q	q	ADJ
ejpam-5613	539	74	>	>	X
ejpam-5613	539	75	1	1	NUM
ejpam-5613	539	76	and	and	CCONJ
ejpam-5613	539	77	1	1	NUM
ejpam-5613	539	78	p	p	NOUN
ejpam-5613	540	1	+	+	NOUN
ejpam-5613	540	2	1	1	NUM
ejpam-5613	540	3	q	q	NOUN
ejpam-5613	540	4	=	=	NOUN
ejpam-5613	540	5	1	1	NUM
ejpam-5613	540	6	:	:	PUNCT
ejpam-5613	540	7	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-5613	540	8	(	(	PUNCT
ejpam-5613	540	9	∫	∫	PROPN
ejpam-5613	540	10	b	b	PROPN
ejpam-5613	540	11	a+b	a+b	NUM
ejpam-5613	540	12	2	2	NUM
ejpam-5613	540	13	∫	∫	NOUN
ejpam-5613	540	14	d	d	X
ejpam-5613	540	15	c+d	c+d	PROPN
ejpam-5613	540	16	2	2	NUM
ejpam-5613	540	17	α	α	NOUN
ejpam-5613	540	18	(	(	PUNCT
ejpam-5613	540	19	s	s	X
ejpam-5613	540	20	,	,	PUNCT
ejpam-5613	540	21	r	r	NOUN
ejpam-5613	540	22	)	)	PUNCT
ejpam-5613	540	23	drds	drd	NOUN
ejpam-5613	540	24	)	)	PUNCT
ejpam-5613	541	1	y	y	PROPN
ejpam-5613	541	2	(	(	PUNCT
ejpam-5613	541	3	b	b	NOUN
ejpam-5613	541	4	,	,	PUNCT
ejpam-5613	541	5	d	d	NOUN
ejpam-5613	541	6	)	)	PUNCT
ejpam-5613	542	1	+	+	CCONJ
ejpam-5613	542	2	(	(	PUNCT
ejpam-5613	542	3	∫	∫	PROPN
ejpam-5613	542	4	a+b	a+b	NUM
ejpam-5613	542	5	2	2	NUM
ejpam-5613	542	6	a	a	DET
ejpam-5613	542	7	∫	∫	PROPN
ejpam-5613	542	8	d	d	X
ejpam-5613	542	9	c+d	c+d	PROPN
ejpam-5613	542	10	2	2	NUM
ejpam-5613	542	11	α	α	NOUN
ejpam-5613	542	12	(	(	PUNCT
ejpam-5613	542	13	s	s	X
ejpam-5613	542	14	,	,	PUNCT
ejpam-5613	542	15	r	r	NOUN
ejpam-5613	542	16	)	)	PUNCT
ejpam-5613	542	17	drds	drd	NOUN
ejpam-5613	542	18	)	)	PUNCT
ejpam-5613	542	19	y	y	PROPN
ejpam-5613	542	20	(	(	PUNCT
ejpam-5613	542	21	a	a	DET
ejpam-5613	542	22	,	,	PUNCT
ejpam-5613	542	23	d	d	NOUN
ejpam-5613	542	24	)	)	PUNCT
ejpam-5613	543	1	+	+	CCONJ
ejpam-5613	543	2	(	(	PUNCT
ejpam-5613	543	3	∫	∫	PROPN
ejpam-5613	543	4	b	b	PROPN
ejpam-5613	543	5	a+b	a+b	NUM
ejpam-5613	543	6	2	2	NUM
ejpam-5613	543	7	∫	∫	NOUN
ejpam-5613	543	8	c+d	c+d	PROPN
ejpam-5613	543	9	2	2	NUM
ejpam-5613	543	10	c	c	NOUN
ejpam-5613	543	11	α	α	X
ejpam-5613	543	12	(	(	PUNCT
ejpam-5613	543	13	s	s	X
ejpam-5613	543	14	,	,	PUNCT
ejpam-5613	543	15	r	r	NOUN
ejpam-5613	543	16	)	)	PUNCT
ejpam-5613	543	17	drds	drd	NOUN
ejpam-5613	543	18	)	)	PUNCT
ejpam-5613	543	19	y	y	PROPN
ejpam-5613	543	20	(	(	PUNCT
ejpam-5613	543	21	b	b	NOUN
ejpam-5613	543	22	,	,	PUNCT
ejpam-5613	543	23	c	c	NOUN
ejpam-5613	543	24	)	)	PUNCT
ejpam-5613	544	1	+	+	CCONJ
ejpam-5613	544	2	(	(	PUNCT
ejpam-5613	544	3	∫	∫	PROPN
ejpam-5613	544	4	a+b	a+b	NUM
ejpam-5613	544	5	2	2	NUM
ejpam-5613	544	6	a	a	DET
ejpam-5613	544	7	∫	∫	NOUN
ejpam-5613	544	8	c+d	c+d	PROPN
ejpam-5613	544	9	2	2	NUM
ejpam-5613	544	10	c	c	NOUN
ejpam-5613	544	11	α	α	X
ejpam-5613	544	12	(	(	PUNCT
ejpam-5613	544	13	s	s	X
ejpam-5613	544	14	,	,	PUNCT
ejpam-5613	544	15	r	r	NOUN
ejpam-5613	544	16	)	)	PUNCT
ejpam-5613	544	17	drds	drd	NOUN
ejpam-5613	544	18	)	)	PUNCT
ejpam-5613	544	19	y	y	PROPN
ejpam-5613	544	20	(	(	PUNCT
ejpam-5613	544	21	a	a	PRON
ejpam-5613	544	22	,	,	PUNCT
ejpam-5613	544	23	c	c	NOUN
ejpam-5613	544	24	)	)	PUNCT
ejpam-5613	544	25	−	−	NOUN
ejpam-5613	545	1	∫	∫	PROPN
ejpam-5613	545	2	b	b	PROPN
ejpam-5613	545	3	a	a	DET
ejpam-5613	545	4	y	y	PROPN
ejpam-5613	545	5	(	(	PUNCT
ejpam-5613	545	6	t	t	PROPN
ejpam-5613	545	7	,	,	PUNCT
ejpam-5613	545	8	d	d	NOUN
ejpam-5613	545	9	)	)	PUNCT
ejpam-5613	545	10	(	(	PUNCT
ejpam-5613	545	11	∫	∫	PROPN
ejpam-5613	545	12	d	d	X
ejpam-5613	545	13	c+d	c+d	PROPN
ejpam-5613	545	14	2	2	NUM
ejpam-5613	545	15	α	α	NOUN
ejpam-5613	545	16	(	(	PUNCT
ejpam-5613	545	17	t	t	PROPN
ejpam-5613	545	18	,	,	PUNCT
ejpam-5613	545	19	r	r	NOUN
ejpam-5613	545	20	)	)	PUNCT
ejpam-5613	545	21	dr	dr	PROPN
ejpam-5613	545	22	)	)	PUNCT
ejpam-5613	545	23	dt−	dt−	PROPN
ejpam-5613	545	24	∫	∫	PROPN
ejpam-5613	545	25	b	b	PROPN
ejpam-5613	545	26	a	a	DET
ejpam-5613	545	27	y	y	PROPN
ejpam-5613	545	28	(	(	PUNCT
ejpam-5613	545	29	t	t	PROPN
ejpam-5613	545	30	,	,	PUNCT
ejpam-5613	545	31	c	c	NOUN
ejpam-5613	545	32	)	)	PUNCT
ejpam-5613	545	33	(	(	PUNCT
ejpam-5613	545	34	∫	∫	PROPN
ejpam-5613	545	35	c+d	c+d	PROPN
ejpam-5613	545	36	2	2	NUM
ejpam-5613	546	1	c	c	NOUN
ejpam-5613	546	2	α	α	PROPN
ejpam-5613	546	3	(	(	PUNCT
ejpam-5613	546	4	t	t	PROPN
ejpam-5613	546	5	,	,	PUNCT
ejpam-5613	546	6	r	r	NOUN
ejpam-5613	546	7	)	)	PUNCT
ejpam-5613	546	8	dr	dr	PROPN
ejpam-5613	546	9	)	)	PUNCT
ejpam-5613	546	10	dt	dt	PROPN
ejpam-5613	547	1	−	−	PROPN
ejpam-5613	547	2	∫	∫	PROPN
ejpam-5613	548	1	d	d	X
ejpam-5613	548	2	c	c	PROPN
ejpam-5613	548	3	y	y	PROPN
ejpam-5613	548	4	(	(	PUNCT
ejpam-5613	548	5	b	b	PROPN
ejpam-5613	548	6	,	,	PUNCT
ejpam-5613	548	7	w	w	NOUN
ejpam-5613	548	8	)	)	PUNCT
ejpam-5613	548	9	(	(	PUNCT
ejpam-5613	548	10	∫	∫	PROPN
ejpam-5613	548	11	b	b	PROPN
ejpam-5613	548	12	a+b	a+b	NUM
ejpam-5613	548	13	2	2	NUM
ejpam-5613	548	14	α	α	NOUN
ejpam-5613	548	15	(	(	PUNCT
ejpam-5613	548	16	s	s	PROPN
ejpam-5613	548	17	,	,	PUNCT
ejpam-5613	548	18	w	w	NOUN
ejpam-5613	548	19	)	)	PUNCT
ejpam-5613	548	20	ds	ds	ADJ
ejpam-5613	548	21	)	)	PUNCT
ejpam-5613	548	22	dw	dw	NOUN
ejpam-5613	549	1	−	−	PROPN
ejpam-5613	549	2	∫	∫	PROPN
ejpam-5613	550	1	d	d	X
ejpam-5613	550	2	c	c	PROPN
ejpam-5613	550	3	y	y	PROPN
ejpam-5613	550	4	(	(	PUNCT
ejpam-5613	550	5	a	a	DET
ejpam-5613	550	6	,	,	PUNCT
ejpam-5613	550	7	w	w	NOUN
ejpam-5613	550	8	)	)	PUNCT
ejpam-5613	550	9	(	(	PUNCT
ejpam-5613	550	10	∫	∫	PROPN
ejpam-5613	550	11	a+b	a+b	NUM
ejpam-5613	550	12	2	2	NUM
ejpam-5613	550	13	a	a	DET
ejpam-5613	550	14	α	α	PROPN
ejpam-5613	550	15	(	(	PUNCT
ejpam-5613	550	16	s	s	PROPN
ejpam-5613	550	17	,	,	PUNCT
ejpam-5613	550	18	w	w	NOUN
ejpam-5613	550	19	)	)	PUNCT
ejpam-5613	550	20	ds	ds	ADJ
ejpam-5613	550	21	)	)	PUNCT
ejpam-5613	550	22	dw	dw	PROPN
ejpam-5613	551	1	+	+	CCONJ
ejpam-5613	551	2	∫	∫	PROPN
ejpam-5613	551	3	b	b	PROPN
ejpam-5613	551	4	a	a	DET
ejpam-5613	551	5	∫	∫	PROPN
ejpam-5613	551	6	d	d	X
ejpam-5613	551	7	c	c	PROPN
ejpam-5613	551	8	α	α	PROPN
ejpam-5613	551	9	(	(	PUNCT
ejpam-5613	551	10	t	t	PROPN
ejpam-5613	551	11	,	,	PUNCT
ejpam-5613	551	12	w)y	w)y	X
ejpam-5613	551	13	(	(	PUNCT
ejpam-5613	551	14	t	t	PROPN
ejpam-5613	551	15	,	,	PUNCT
ejpam-5613	551	16	w	w	NOUN
ejpam-5613	551	17	)	)	PUNCT
ejpam-5613	551	18	dwdt	dwdt	NOUN
ejpam-5613	551	19	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	551	20	e1×e2	e1×e2	VERB
ejpam-5613	551	21	≤	≤	NUM
ejpam-5613	551	22	c	c	X
ejpam-5613	551	23	(	(	PUNCT
ejpam-5613	551	24	α	α	X
ejpam-5613	551	25	,	,	PUNCT
ejpam-5613	551	26	y	y	PROPN
ejpam-5613	551	27	)	)	PUNCT
ejpam-5613	551	28	,	,	PUNCT
ejpam-5613	551	29	(	(	PUNCT
ejpam-5613	551	30	2.27	2.27	NUM
ejpam-5613	551	31	)	)	PUNCT
ejpam-5613	551	32	where	where	SCONJ
ejpam-5613	551	33	c	c	PROPN
ejpam-5613	551	34	(	(	PUNCT
ejpam-5613	551	35	α	α	X
ejpam-5613	551	36	,	,	PUNCT
ejpam-5613	551	37	y	y	PROPN
ejpam-5613	551	38	)	)	PUNCT
ejpam-5613	551	39	:	:	PUNCT
ejpam-5613	552	1	=	=	SYM
ejpam-5613	552	2	∫	∫	PROPN
ejpam-5613	552	3	b	b	PROPN
ejpam-5613	552	4	a+b	a+b	NUM
ejpam-5613	552	5	2	2	NUM
ejpam-5613	552	6	∫	∫	NOUN
ejpam-5613	552	7	d	d	X
ejpam-5613	552	8	c+d	c+d	PROPN
ejpam-5613	552	9	2	2	NUM
ejpam-5613	552	10	(	(	PUNCT
ejpam-5613	552	11	∫	∫	PROPN
ejpam-5613	552	12	t	t	PROPN
ejpam-5613	552	13	a+b	a+b	NUM
ejpam-5613	552	14	2	2	NUM
ejpam-5613	552	15	∫	∫	NOUN
ejpam-5613	552	16	w	w	PROPN
ejpam-5613	552	17	c+d	c+d	PROPN
ejpam-5613	552	18	2	2	NUM
ejpam-5613	552	19	|α	|α	NOUN
ejpam-5613	552	20	(	(	PUNCT
ejpam-5613	552	21	s	s	PROPN
ejpam-5613	552	22	,	,	PUNCT
ejpam-5613	552	23	r)|	r)|	ADJ
ejpam-5613	552	24	drds	drd	NOUN
ejpam-5613	552	25	)	)	PUNCT
ejpam-5613	552	26	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	553	1	∂2	∂2	NUM
ejpam-5613	553	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	553	3	y	y	PROPN
ejpam-5613	553	4	(	(	PUNCT
ejpam-5613	553	5	t	t	PROPN
ejpam-5613	553	6	,	,	PUNCT
ejpam-5613	553	7	w	w	PROPN
ejpam-5613	553	8	)	)	PUNCT
ejpam-5613	553	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	554	1	e1×e2	e1×e2	VERB
ejpam-5613	554	2	dwdt	dwdt	NOUN
ejpam-5613	554	3	+	+	CCONJ
ejpam-5613	554	4	∫	∫	PROPN
ejpam-5613	554	5	a+b	a+b	NUM
ejpam-5613	554	6	2	2	NUM
ejpam-5613	554	7	a	a	DET
ejpam-5613	554	8	∫	∫	PROPN
ejpam-5613	554	9	d	d	X
ejpam-5613	554	10	c+d	c+d	PROPN
ejpam-5613	554	11	2	2	NUM
ejpam-5613	554	12	(	(	PUNCT
ejpam-5613	554	13	∫	∫	PROPN
ejpam-5613	554	14	a+b	a+b	NUM
ejpam-5613	554	15	2	2	NUM
ejpam-5613	554	16	t	t	NOUN
ejpam-5613	554	17	∫	∫	PROPN
ejpam-5613	554	18	w	w	PROPN
ejpam-5613	554	19	c+d	c+d	PROPN
ejpam-5613	554	20	2	2	NUM
ejpam-5613	554	21	|α	|α	NOUN
ejpam-5613	554	22	(	(	PUNCT
ejpam-5613	554	23	s	s	PROPN
ejpam-5613	554	24	,	,	PUNCT
ejpam-5613	554	25	r)|	r)|	ADJ
ejpam-5613	554	26	drds	drd	NOUN
ejpam-5613	554	27	)	)	PUNCT
ejpam-5613	554	28	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	555	1	∂2	∂2	NUM
ejpam-5613	555	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	555	3	y	y	PROPN
ejpam-5613	555	4	(	(	PUNCT
ejpam-5613	555	5	t	t	PROPN
ejpam-5613	555	6	,	,	PUNCT
ejpam-5613	555	7	w	w	PROPN
ejpam-5613	555	8	)	)	PUNCT
ejpam-5613	555	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	556	1	e1×e2	e1×e2	VERB
ejpam-5613	556	2	dwdt	dwdt	NOUN
ejpam-5613	556	3	+	+	CCONJ
ejpam-5613	556	4	∫	∫	PROPN
ejpam-5613	556	5	b	b	PROPN
ejpam-5613	556	6	a+b	a+b	NUM
ejpam-5613	556	7	2	2	NUM
ejpam-5613	556	8	∫	∫	NOUN
ejpam-5613	556	9	c+d	c+d	PROPN
ejpam-5613	556	10	2	2	NUM
ejpam-5613	556	11	c	c	NOUN
ejpam-5613	556	12	(	(	PUNCT
ejpam-5613	556	13	∫	∫	PROPN
ejpam-5613	556	14	t	t	PROPN
ejpam-5613	556	15	a+b	a+b	NUM
ejpam-5613	556	16	2	2	NUM
ejpam-5613	556	17	∫	∫	NOUN
ejpam-5613	556	18	c+d	c+d	PROPN
ejpam-5613	556	19	2	2	NUM
ejpam-5613	556	20	w	w	PROPN
ejpam-5613	556	21	|α	|α	NOUN
ejpam-5613	556	22	(	(	PUNCT
ejpam-5613	556	23	s	s	PROPN
ejpam-5613	556	24	,	,	PUNCT
ejpam-5613	556	25	r)|	r)|	ADJ
ejpam-5613	556	26	drds	drd	NOUN
ejpam-5613	556	27	)	)	PUNCT
ejpam-5613	556	28	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	557	1	∂2	∂2	NUM
ejpam-5613	557	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	557	3	y	y	PROPN
ejpam-5613	557	4	(	(	PUNCT
ejpam-5613	557	5	t	t	PROPN
ejpam-5613	557	6	,	,	PUNCT
ejpam-5613	557	7	w	w	PROPN
ejpam-5613	557	8	)	)	PUNCT
ejpam-5613	557	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	558	1	e1×e2	e1×e2	VERB
ejpam-5613	558	2	dwdt	dwdt	NOUN
ejpam-5613	558	3	+	+	CCONJ
ejpam-5613	558	4	∫	∫	PROPN
ejpam-5613	558	5	a+b	a+b	NUM
ejpam-5613	558	6	2	2	NUM
ejpam-5613	558	7	a	a	DET
ejpam-5613	558	8	∫	∫	NOUN
ejpam-5613	558	9	c+d	c+d	PROPN
ejpam-5613	558	10	2	2	NUM
ejpam-5613	558	11	c	c	NOUN
ejpam-5613	558	12	(	(	PUNCT
ejpam-5613	558	13	∫	∫	PROPN
ejpam-5613	558	14	a+b	a+b	NUM
ejpam-5613	558	15	2	2	NUM
ejpam-5613	558	16	t	t	NOUN
ejpam-5613	558	17	∫	∫	NOUN
ejpam-5613	558	18	c+d	c+d	PROPN
ejpam-5613	558	19	2	2	NUM
ejpam-5613	558	20	w	w	PROPN
ejpam-5613	558	21	|α	|α	NOUN
ejpam-5613	558	22	(	(	PUNCT
ejpam-5613	558	23	s	s	PROPN
ejpam-5613	558	24	,	,	PUNCT
ejpam-5613	558	25	r)|	r)|	ADJ
ejpam-5613	558	26	drds	drd	NOUN
ejpam-5613	558	27	)	)	PUNCT
ejpam-5613	558	28	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	559	1	∂2	∂2	NUM
ejpam-5613	559	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	559	3	y	y	PROPN
ejpam-5613	559	4	(	(	PUNCT
ejpam-5613	559	5	t	t	PROPN
ejpam-5613	559	6	,	,	PUNCT
ejpam-5613	559	7	w	w	PROPN
ejpam-5613	559	8	)	)	PUNCT
ejpam-5613	559	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	560	1	e1×e2	e1×e2	VERB
ejpam-5613	560	2	dwdt	dwdt	NOUN
ejpam-5613	560	3	.	.	PUNCT
ejpam-5613	561	1	(	(	PUNCT
ejpam-5613	561	2	2.28	2.28	NUM
ejpam-5613	561	3	)	)	PUNCT
ejpam-5613	561	4	we	we	PRON
ejpam-5613	561	5	also	also	ADV
ejpam-5613	561	6	have	have	VERB
ejpam-5613	561	7	the	the	DET
ejpam-5613	561	8	following	follow	VERB
ejpam-5613	561	9	bounds	bound	NOUN
ejpam-5613	561	10	for	for	ADP
ejpam-5613	561	11	c	c	PROPN
ejpam-5613	561	12	(	(	PUNCT
ejpam-5613	561	13	α	α	X
ejpam-5613	561	14	,	,	PUNCT
ejpam-5613	561	15	y	y	PROPN
ejpam-5613	561	16	):	):	PUNCT
ejpam-5613	561	17	c	c	PROPN
ejpam-5613	561	18	(	(	PUNCT
ejpam-5613	561	19	α	α	X
ejpam-5613	561	20	,	,	PUNCT
ejpam-5613	561	21	y	y	PROPN
ejpam-5613	561	22	)	)	PUNCT
ejpam-5613	561	23	o.	o.	PROPN
ejpam-5613	561	24	b.	b.	PROPN
ejpam-5613	561	25	almutairi	almutairi	PROPN
ejpam-5613	561	26	,	,	PUNCT
ejpam-5613	561	27	m.	m.	NOUN
ejpam-5613	561	28	a.	a.	PROPN
ejpam-5613	561	29	latif	latif	PROPN
ejpam-5613	561	30	/	/	SYM
ejpam-5613	561	31	eur	eur	PROPN
ejpam-5613	561	32	.	.	PUNCT
ejpam-5613	562	1	j.	j.	PROPN
ejpam-5613	562	2	pure	pure	PROPN
ejpam-5613	562	3	appl	appl	PROPN
ejpam-5613	562	4	.	.	PROPN
ejpam-5613	562	5	math	math	PROPN
ejpam-5613	562	6	,	,	PUNCT
ejpam-5613	562	7	18	18	NUM
ejpam-5613	562	8	(	(	PUNCT
ejpam-5613	562	9	1	1	NUM
ejpam-5613	562	10	)	)	PUNCT
ejpam-5613	562	11	(	(	PUNCT
ejpam-5613	562	12	2025	2025	NUM
ejpam-5613	562	13	)	)	PUNCT
ejpam-5613	562	14	,	,	PUNCT
ejpam-5613	562	15	5608	5608	NUM
ejpam-5613	562	16	22	22	NUM
ejpam-5613	562	17	of	of	ADP
ejpam-5613	562	18	33	33	NUM
ejpam-5613	562	19	≤	≤	NUM
ejpam-5613	562	20			PROPN
ejpam-5613	562	21	∫	∫	PROPN
ejpam-5613	562	22	b	b	PROPN
ejpam-5613	562	23	a+b	a+b	NUM
ejpam-5613	562	24	2	2	NUM
ejpam-5613	562	25	∫	∫	NOUN
ejpam-5613	562	26	d	d	X
ejpam-5613	562	27	c+d	c+d	PROPN
ejpam-5613	562	28	2	2	NUM
ejpam-5613	562	29	|α	|α	NOUN
ejpam-5613	562	30	(	(	PUNCT
ejpam-5613	562	31	s	s	PROPN
ejpam-5613	562	32	,	,	PUNCT
ejpam-5613	562	33	r)|	r)|	ADJ
ejpam-5613	562	34	drds	drd	NOUN
ejpam-5613	562	35	∫	∫	PROPN
ejpam-5613	562	36	b	b	PROPN
ejpam-5613	562	37	a+b	a+b	NUM
ejpam-5613	562	38	2	2	NUM
ejpam-5613	562	39	∫	∫	NOUN
ejpam-5613	562	40	d	d	NOUN
ejpam-5613	562	41	c+d	c+d	PROPN
ejpam-5613	562	42	2	2	NUM
ejpam-5613	562	43	∥∥∥	∥∥∥	PROPN
ejpam-5613	562	44	∂2	∂2	NOUN
ejpam-5613	562	45	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	562	46	(	(	PUNCT
ejpam-5613	562	47	t	t	PROPN
ejpam-5613	562	48	,	,	PUNCT
ejpam-5613	562	49	w	w	NOUN
ejpam-5613	562	50	)	)	PUNCT
ejpam-5613	562	51	∥∥∥	∥∥∥	NOUN
ejpam-5613	562	52	e1×e2	e1×e2	VERB
ejpam-5613	562	53	dwdt	dwdt	NOUN
ejpam-5613	562	54	+	+	CCONJ
ejpam-5613	562	55	∫	∫	PROPN
ejpam-5613	562	56	a+b	a+b	NUM
ejpam-5613	562	57	2	2	NUM
ejpam-5613	562	58	a	a	DET
ejpam-5613	562	59	∫	∫	PROPN
ejpam-5613	562	60	d	d	X
ejpam-5613	562	61	c+d	c+d	PROPN
ejpam-5613	562	62	2	2	NUM
ejpam-5613	562	63	|α	|α	NOUN
ejpam-5613	562	64	(	(	PUNCT
ejpam-5613	562	65	s	s	PROPN
ejpam-5613	562	66	,	,	PUNCT
ejpam-5613	562	67	r)|	r)|	ADJ
ejpam-5613	562	68	drds	drd	NOUN
ejpam-5613	562	69	∫	∫	PROPN
ejpam-5613	562	70	a+b	a+b	NUM
ejpam-5613	562	71	2	2	NUM
ejpam-5613	562	72	a	a	DET
ejpam-5613	562	73	∫	∫	PROPN
ejpam-5613	562	74	d	d	X
ejpam-5613	562	75	c+d	c+d	PROPN
ejpam-5613	562	76	2	2	NUM
ejpam-5613	562	77	∥∥∥	∥∥∥	PROPN
ejpam-5613	562	78	∂2	∂2	NOUN
ejpam-5613	562	79	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	562	80	(	(	PUNCT
ejpam-5613	562	81	t	t	PROPN
ejpam-5613	562	82	,	,	PUNCT
ejpam-5613	562	83	w	w	NOUN
ejpam-5613	562	84	)	)	PUNCT
ejpam-5613	562	85	∥∥∥	∥∥∥	NOUN
ejpam-5613	562	86	e1×e2	e1×e2	VERB
ejpam-5613	562	87	dwdt	dwdt	NOUN
ejpam-5613	562	88	+	+	CCONJ
ejpam-5613	562	89	∫	∫	PROPN
ejpam-5613	562	90	b	b	PROPN
ejpam-5613	562	91	a+b	a+b	NUM
ejpam-5613	562	92	2	2	NUM
ejpam-5613	562	93	∫	∫	NOUN
ejpam-5613	562	94	c+d	c+d	PROPN
ejpam-5613	562	95	2	2	NUM
ejpam-5613	562	96	c	c	NOUN
ejpam-5613	562	97	|α	|α	NOUN
ejpam-5613	562	98	(	(	PUNCT
ejpam-5613	562	99	s	s	PROPN
ejpam-5613	562	100	,	,	PUNCT
ejpam-5613	562	101	r)|	r)|	ADJ
ejpam-5613	562	102	drds	drd	NOUN
ejpam-5613	562	103	∫	∫	PROPN
ejpam-5613	562	104	b	b	PROPN
ejpam-5613	562	105	a+b	a+b	NUM
ejpam-5613	562	106	2	2	NUM
ejpam-5613	562	107	∫	∫	NOUN
ejpam-5613	562	108	c+d	c+d	PROPN
ejpam-5613	562	109	2	2	NUM
ejpam-5613	562	110	c	c	NOUN
ejpam-5613	562	111	∥∥∥	∥∥∥	PROPN
ejpam-5613	562	112	∂2	∂2	NOUN
ejpam-5613	562	113	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	562	114	(	(	PUNCT
ejpam-5613	562	115	t	t	PROPN
ejpam-5613	562	116	,	,	PUNCT
ejpam-5613	562	117	w	w	NOUN
ejpam-5613	562	118	)	)	PUNCT
ejpam-5613	562	119	∥∥∥	∥∥∥	NOUN
ejpam-5613	562	120	e1×e2	e1×e2	VERB
ejpam-5613	562	121	dwdt	dwdt	NOUN
ejpam-5613	562	122	+	+	CCONJ
ejpam-5613	562	123	∫	∫	PROPN
ejpam-5613	562	124	a+b	a+b	NUM
ejpam-5613	562	125	2	2	NUM
ejpam-5613	562	126	a	a	DET
ejpam-5613	562	127	∫	∫	NOUN
ejpam-5613	562	128	c+d	c+d	PROPN
ejpam-5613	562	129	2	2	NUM
ejpam-5613	562	130	c	c	NOUN
ejpam-5613	562	131	|α	|α	NOUN
ejpam-5613	562	132	(	(	PUNCT
ejpam-5613	562	133	s	s	PROPN
ejpam-5613	562	134	,	,	PUNCT
ejpam-5613	562	135	r)|	r)|	ADJ
ejpam-5613	562	136	drds	drd	NOUN
ejpam-5613	562	137	∫	∫	PROPN
ejpam-5613	562	138	a+b	a+b	NUM
ejpam-5613	562	139	2	2	NUM
ejpam-5613	562	140	a	a	DET
ejpam-5613	562	141	∫	∫	NOUN
ejpam-5613	562	142	c+d	c+d	PROPN
ejpam-5613	562	143	2	2	NUM
ejpam-5613	562	144	c	c	NOUN
ejpam-5613	562	145	∥∥∥	∥∥∥	PROPN
ejpam-5613	562	146	∂2	∂2	NOUN
ejpam-5613	562	147	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	562	148	(	(	PUNCT
ejpam-5613	562	149	t	t	PROPN
ejpam-5613	562	150	,	,	PUNCT
ejpam-5613	562	151	w	w	NOUN
ejpam-5613	562	152	)	)	PUNCT
ejpam-5613	562	153	∥∥∥	∥∥∥	PROPN
ejpam-5613	562	154	e1×e2	e1×e2	VERB
ejpam-5613	562	155	dwdt	dwdt	NOUN
ejpam-5613	562	156	,	,	PUNCT
ejpam-5613	562	157	[	[	X
ejpam-5613	562	158	∫	∫	X
ejpam-5613	562	159	b	b	X
ejpam-5613	562	160	a+b	a+b	NUM
ejpam-5613	562	161	2	2	NUM
ejpam-5613	562	162	∫	∫	NOUN
ejpam-5613	562	163	d	d	X
ejpam-5613	562	164	c+d	c+d	PROPN
ejpam-5613	562	165	2	2	NUM
ejpam-5613	562	166	(	(	PUNCT
ejpam-5613	562	167	∫	∫	PROPN
ejpam-5613	562	168	t	t	PROPN
ejpam-5613	562	169	a+b	a+b	NUM
ejpam-5613	562	170	2	2	NUM
ejpam-5613	562	171	∫	∫	PROPN
ejpam-5613	562	172	w	w	PROPN
ejpam-5613	562	173	c	c	PROPN
ejpam-5613	562	174	|α	|α	PROPN
ejpam-5613	562	175	(	(	PUNCT
ejpam-5613	562	176	s	s	PROPN
ejpam-5613	562	177	,	,	PUNCT
ejpam-5613	562	178	r)|	r)|	ADJ
ejpam-5613	562	179	drds	drd	NOUN
ejpam-5613	562	180	)	)	PUNCT
ejpam-5613	562	181	p	p	NOUN
ejpam-5613	562	182	dwdt	dwdt	NOUN
ejpam-5613	562	183	]	]	PUNCT
ejpam-5613	562	184	1	1	NUM
ejpam-5613	562	185	p	p	NOUN
ejpam-5613	562	186	[	[	X
ejpam-5613	562	187	∫	∫	X
ejpam-5613	562	188	b	b	X
ejpam-5613	562	189	a+b	a+b	NUM
ejpam-5613	562	190	2	2	NUM
ejpam-5613	562	191	∫	∫	NOUN
ejpam-5613	562	192	d	d	NOUN
ejpam-5613	562	193	c+d	c+d	PROPN
ejpam-5613	562	194	2	2	NUM
ejpam-5613	562	195	∥∥∥	∥∥∥	PROPN
ejpam-5613	562	196	∂2	∂2	NOUN
ejpam-5613	562	197	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	562	198	(	(	PUNCT
ejpam-5613	562	199	t	t	PROPN
ejpam-5613	562	200	,	,	PUNCT
ejpam-5613	562	201	w	w	NOUN
ejpam-5613	562	202	)	)	PUNCT
ejpam-5613	562	203	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	562	204	e1×e2	e1×e2	PROPN
ejpam-5613	562	205	dwdt	dwdt	NOUN
ejpam-5613	562	206	]	]	PUNCT
ejpam-5613	562	207	1	1	NUM
ejpam-5613	562	208	q	q	NOUN
ejpam-5613	563	1	+	+	CCONJ
ejpam-5613	563	2	[	[	X
ejpam-5613	563	3	∫	∫	X
ejpam-5613	563	4	a+b	a+b	NUM
ejpam-5613	563	5	2	2	NUM
ejpam-5613	563	6	a	a	DET
ejpam-5613	563	7	∫	∫	PROPN
ejpam-5613	563	8	d	d	X
ejpam-5613	563	9	c+d	c+d	PROPN
ejpam-5613	563	10	2	2	NUM
ejpam-5613	563	11	(	(	PUNCT
ejpam-5613	563	12	∫	∫	PROPN
ejpam-5613	563	13	a+b	a+b	NUM
ejpam-5613	563	14	2	2	NUM
ejpam-5613	563	15	t	t	NOUN
ejpam-5613	563	16	∫	∫	PROPN
ejpam-5613	563	17	w	w	PROPN
ejpam-5613	563	18	c+d	c+d	PROPN
ejpam-5613	563	19	2	2	NUM
ejpam-5613	563	20	|α	|α	NOUN
ejpam-5613	563	21	(	(	PUNCT
ejpam-5613	563	22	s	s	PROPN
ejpam-5613	563	23	,	,	PUNCT
ejpam-5613	563	24	r)|	r)|	ADJ
ejpam-5613	563	25	drds	drd	NOUN
ejpam-5613	563	26	)	)	PUNCT
ejpam-5613	563	27	p	p	NOUN
ejpam-5613	563	28	dwdt	dwdt	NOUN
ejpam-5613	563	29	]	]	PUNCT
ejpam-5613	563	30	1	1	NUM
ejpam-5613	563	31	p	p	NOUN
ejpam-5613	563	32	[	[	X
ejpam-5613	563	33	∫	∫	X
ejpam-5613	563	34	a+b	a+b	NUM
ejpam-5613	563	35	2	2	NUM
ejpam-5613	563	36	a	a	DET
ejpam-5613	563	37	∫	∫	PROPN
ejpam-5613	563	38	d	d	X
ejpam-5613	563	39	c+d	c+d	PROPN
ejpam-5613	563	40	2	2	NUM
ejpam-5613	563	41	∥∥∥	∥∥∥	PROPN
ejpam-5613	563	42	∂2	∂2	NOUN
ejpam-5613	563	43	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	563	44	(	(	PUNCT
ejpam-5613	563	45	t	t	PROPN
ejpam-5613	563	46	,	,	PUNCT
ejpam-5613	563	47	w	w	NOUN
ejpam-5613	563	48	)	)	PUNCT
ejpam-5613	563	49	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	563	50	e1×e2	e1×e2	PROPN
ejpam-5613	563	51	dwdt	dwdt	NOUN
ejpam-5613	563	52	]	]	PUNCT
ejpam-5613	563	53	1	1	NUM
ejpam-5613	563	54	q	q	NOUN
ejpam-5613	564	1	+	+	CCONJ
ejpam-5613	564	2	[	[	X
ejpam-5613	564	3	∫	∫	X
ejpam-5613	564	4	b	b	X
ejpam-5613	564	5	a+b	a+b	NUM
ejpam-5613	564	6	2	2	NUM
ejpam-5613	564	7	∫	∫	NOUN
ejpam-5613	564	8	c+d	c+d	PROPN
ejpam-5613	564	9	2	2	NUM
ejpam-5613	564	10	c	c	NOUN
ejpam-5613	564	11	(	(	PUNCT
ejpam-5613	564	12	∫	∫	PROPN
ejpam-5613	564	13	t	t	PROPN
ejpam-5613	564	14	a+b	a+b	NUM
ejpam-5613	564	15	2	2	NUM
ejpam-5613	564	16	∫	∫	NOUN
ejpam-5613	564	17	c+d	c+d	PROPN
ejpam-5613	564	18	2	2	NUM
ejpam-5613	564	19	w	w	PROPN
ejpam-5613	564	20	|α	|α	NOUN
ejpam-5613	564	21	(	(	PUNCT
ejpam-5613	564	22	s	s	PROPN
ejpam-5613	564	23	,	,	PUNCT
ejpam-5613	564	24	r)|	r)|	ADJ
ejpam-5613	564	25	drds	drd	NOUN
ejpam-5613	564	26	)	)	PUNCT
ejpam-5613	564	27	p	p	NOUN
ejpam-5613	564	28	dwdt	dwdt	NOUN
ejpam-5613	564	29	]	]	PUNCT
ejpam-5613	564	30	1	1	NUM
ejpam-5613	564	31	p	p	NOUN
ejpam-5613	564	32	[	[	X
ejpam-5613	564	33	∫	∫	X
ejpam-5613	564	34	b	b	X
ejpam-5613	564	35	a+b	a+b	NUM
ejpam-5613	564	36	2	2	NUM
ejpam-5613	564	37	∫	∫	NOUN
ejpam-5613	564	38	c+d	c+d	PROPN
ejpam-5613	564	39	2	2	NUM
ejpam-5613	564	40	c	c	NOUN
ejpam-5613	564	41	∥∥∥	∥∥∥	PROPN
ejpam-5613	564	42	∂2	∂2	NOUN
ejpam-5613	564	43	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	564	44	(	(	PUNCT
ejpam-5613	564	45	t	t	PROPN
ejpam-5613	564	46	,	,	PUNCT
ejpam-5613	564	47	w	w	NOUN
ejpam-5613	564	48	)	)	PUNCT
ejpam-5613	564	49	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	564	50	e1×e2	e1×e2	PROPN
ejpam-5613	564	51	dwdt	dwdt	NOUN
ejpam-5613	564	52	]	]	PUNCT
ejpam-5613	564	53	1	1	NUM
ejpam-5613	564	54	q	q	NOUN
ejpam-5613	564	55	+	+	CCONJ
ejpam-5613	565	1	[	[	X
ejpam-5613	565	2	∫	∫	X
ejpam-5613	565	3	a+b	a+b	NUM
ejpam-5613	565	4	2	2	NUM
ejpam-5613	565	5	a	a	DET
ejpam-5613	565	6	∫	∫	NOUN
ejpam-5613	565	7	c+d	c+d	PROPN
ejpam-5613	565	8	2	2	NUM
ejpam-5613	565	9	c	c	NOUN
ejpam-5613	565	10	(	(	PUNCT
ejpam-5613	565	11	∫	∫	PROPN
ejpam-5613	565	12	a+b	a+b	NUM
ejpam-5613	565	13	2	2	NUM
ejpam-5613	565	14	t	t	NOUN
ejpam-5613	565	15	∫	∫	NOUN
ejpam-5613	565	16	c+d	c+d	PROPN
ejpam-5613	565	17	2	2	NUM
ejpam-5613	565	18	w	w	PROPN
ejpam-5613	565	19	|α	|α	NOUN
ejpam-5613	565	20	(	(	PUNCT
ejpam-5613	565	21	s	s	PROPN
ejpam-5613	565	22	,	,	PUNCT
ejpam-5613	565	23	r)|	r)|	ADJ
ejpam-5613	565	24	drds	drd	NOUN
ejpam-5613	565	25	)	)	PUNCT
ejpam-5613	565	26	p	p	NOUN
ejpam-5613	565	27	dwdt	dwdt	NOUN
ejpam-5613	565	28	]	]	PUNCT
ejpam-5613	565	29	1	1	NUM
ejpam-5613	565	30	p	p	NOUN
ejpam-5613	565	31	[	[	X
ejpam-5613	565	32	∫	∫	X
ejpam-5613	565	33	a+b	a+b	NUM
ejpam-5613	565	34	2	2	NUM
ejpam-5613	565	35	a	a	DET
ejpam-5613	565	36	∫	∫	NOUN
ejpam-5613	565	37	c+d	c+d	PROPN
ejpam-5613	565	38	2	2	NUM
ejpam-5613	565	39	c	c	NOUN
ejpam-5613	565	40	∥∥∥	∥∥∥	PROPN
ejpam-5613	565	41	∂2	∂2	NOUN
ejpam-5613	565	42	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	565	43	(	(	PUNCT
ejpam-5613	565	44	t	t	PROPN
ejpam-5613	565	45	,	,	PUNCT
ejpam-5613	565	46	w	w	NOUN
ejpam-5613	565	47	)	)	PUNCT
ejpam-5613	565	48	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	565	49	e1×e2	e1×e2	PROPN
ejpam-5613	565	50	dwdt	dwdt	NOUN
ejpam-5613	565	51	]	]	PUNCT
ejpam-5613	565	52	1	1	NUM
ejpam-5613	565	53	q	q	NOUN
ejpam-5613	565	54	,	,	PUNCT
ejpam-5613	565	55	∫	∫	PROPN
ejpam-5613	565	56	b	b	PROPN
ejpam-5613	565	57	a+b	a+b	NUM
ejpam-5613	565	58	2	2	NUM
ejpam-5613	565	59	∫	∫	NOUN
ejpam-5613	565	60	d	d	X
ejpam-5613	565	61	c+d	c+d	PROPN
ejpam-5613	565	62	2	2	NUM
ejpam-5613	565	63	(	(	PUNCT
ejpam-5613	565	64	∫	∫	PROPN
ejpam-5613	565	65	t	t	PROPN
ejpam-5613	565	66	a+b	a+b	NUM
ejpam-5613	565	67	2	2	NUM
ejpam-5613	565	68	∫	∫	NOUN
ejpam-5613	565	69	w	w	PROPN
ejpam-5613	565	70	c+d	c+d	PROPN
ejpam-5613	565	71	2	2	NUM
ejpam-5613	565	72	|α	|α	NOUN
ejpam-5613	565	73	(	(	PUNCT
ejpam-5613	565	74	s	s	PROPN
ejpam-5613	565	75	,	,	PUNCT
ejpam-5613	565	76	r)|	r)|	ADJ
ejpam-5613	565	77	drds	drd	NOUN
ejpam-5613	565	78	)	)	PUNCT
ejpam-5613	565	79	dwdt	dwdt	PROPN
ejpam-5613	565	80	sup	sup	PROPN
ejpam-5613	565	81	(	(	PUNCT
ejpam-5613	565	82	t	t	PROPN
ejpam-5613	565	83	,	,	PUNCT
ejpam-5613	565	84	w)∈[a+b	w)∈[a+b	ADV
ejpam-5613	565	85	2	2	NUM
ejpam-5613	565	86	,	,	PUNCT
ejpam-5613	565	87	b]×	b]×	NOUN
ejpam-5613	565	88	[	[	PUNCT
ejpam-5613	565	89	c+d	c+d	PROPN
ejpam-5613	565	90	2	2	NUM
ejpam-5613	565	91	,	,	PUNCT
ejpam-5613	565	92	d	d	X
ejpam-5613	565	93	]	]	PUNCT
ejpam-5613	565	94	∥∥∥	∥∥∥	PROPN
ejpam-5613	565	95	∂2	∂2	NOUN
ejpam-5613	565	96	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	565	97	(	(	PUNCT
ejpam-5613	565	98	t	t	PROPN
ejpam-5613	565	99	,	,	PUNCT
ejpam-5613	565	100	w	w	NOUN
ejpam-5613	565	101	)	)	PUNCT
ejpam-5613	565	102	∥∥∥	∥∥∥	NOUN
ejpam-5613	565	103	e1×e2	e1×e2	VERB
ejpam-5613	565	104	+	+	NUM
ejpam-5613	565	105	∫	∫	PROPN
ejpam-5613	565	106	a+b	a+b	NUM
ejpam-5613	565	107	2	2	NUM
ejpam-5613	565	108	a	a	DET
ejpam-5613	565	109	∫	∫	PROPN
ejpam-5613	565	110	d	d	X
ejpam-5613	565	111	c+d	c+d	PROPN
ejpam-5613	565	112	2	2	NUM
ejpam-5613	565	113	(	(	PUNCT
ejpam-5613	565	114	∫	∫	PROPN
ejpam-5613	565	115	a+b	a+b	NUM
ejpam-5613	565	116	2	2	NUM
ejpam-5613	565	117	t	t	NOUN
ejpam-5613	565	118	∫	∫	PROPN
ejpam-5613	566	1	w	w	PROPN
ejpam-5613	566	2	c+d	c+d	PROPN
ejpam-5613	566	3	2	2	NUM
ejpam-5613	566	4	|α	|α	NOUN
ejpam-5613	566	5	(	(	PUNCT
ejpam-5613	566	6	s	s	PROPN
ejpam-5613	566	7	,	,	PUNCT
ejpam-5613	566	8	r)|	r)|	ADJ
ejpam-5613	566	9	drds	drd	NOUN
ejpam-5613	566	10	)	)	PUNCT
ejpam-5613	566	11	dwdt	dwdt	PROPN
ejpam-5613	566	12	sup	sup	PROPN
ejpam-5613	566	13	(	(	PUNCT
ejpam-5613	566	14	t	t	PROPN
ejpam-5613	566	15	,	,	PUNCT
ejpam-5613	566	16	w)∈[a	w)∈[a	NOUN
ejpam-5613	566	17	,	,	PUNCT
ejpam-5613	566	18	a+b	a+b	NUM
ejpam-5613	566	19	2	2	NUM
ejpam-5613	566	20	]	]	SYM
ejpam-5613	566	21	×	×	NOUN
ejpam-5613	566	22	[	[	PUNCT
ejpam-5613	566	23	c+d	c+d	PROPN
ejpam-5613	566	24	2	2	NUM
ejpam-5613	566	25	,	,	PUNCT
ejpam-5613	566	26	d	d	X
ejpam-5613	566	27	]	]	PUNCT
ejpam-5613	566	28	∥∥∥	∥∥∥	PROPN
ejpam-5613	566	29	∂2	∂2	NOUN
ejpam-5613	566	30	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	566	31	(	(	PUNCT
ejpam-5613	566	32	t	t	PROPN
ejpam-5613	566	33	,	,	PUNCT
ejpam-5613	566	34	w	w	NOUN
ejpam-5613	566	35	)	)	PUNCT
ejpam-5613	566	36	∥∥∥	∥∥∥	NOUN
ejpam-5613	566	37	e1×e2	e1×e2	VERB
ejpam-5613	566	38	+	+	NUM
ejpam-5613	566	39	∫	∫	PROPN
ejpam-5613	566	40	b	b	PROPN
ejpam-5613	566	41	a+b	a+b	NUM
ejpam-5613	566	42	2	2	NUM
ejpam-5613	566	43	∫	∫	NOUN
ejpam-5613	566	44	c+d	c+d	PROPN
ejpam-5613	566	45	2	2	NUM
ejpam-5613	566	46	c	c	NOUN
ejpam-5613	566	47	(	(	PUNCT
ejpam-5613	566	48	∫	∫	PROPN
ejpam-5613	566	49	t	t	PROPN
ejpam-5613	566	50	a+b	a+b	NUM
ejpam-5613	566	51	2	2	NUM
ejpam-5613	566	52	∫	∫	NOUN
ejpam-5613	566	53	c+d	c+d	PROPN
ejpam-5613	566	54	2	2	NUM
ejpam-5613	566	55	w	w	PROPN
ejpam-5613	566	56	|α	|α	NOUN
ejpam-5613	566	57	(	(	PUNCT
ejpam-5613	566	58	s	s	PROPN
ejpam-5613	566	59	,	,	PUNCT
ejpam-5613	566	60	r)|	r)|	ADJ
ejpam-5613	566	61	drds	drd	NOUN
ejpam-5613	566	62	)	)	PUNCT
ejpam-5613	566	63	dwdt	dwdt	PROPN
ejpam-5613	566	64	sup	sup	PROPN
ejpam-5613	566	65	(	(	PUNCT
ejpam-5613	566	66	t	t	PROPN
ejpam-5613	566	67	,	,	PUNCT
ejpam-5613	566	68	w)∈[a+b	w)∈[a+b	X
ejpam-5613	566	69	2	2	NUM
ejpam-5613	566	70	,	,	PUNCT
ejpam-5613	566	71	b]×[c	b]×[c	PROPN
ejpam-5613	566	72	,	,	PUNCT
ejpam-5613	566	73	c+d	c+d	PROPN
ejpam-5613	566	74	2	2	NUM
ejpam-5613	566	75	]	]	PUNCT
ejpam-5613	566	76	∥∥∥	∥∥∥	NUM
ejpam-5613	566	77	∂2	∂2	NOUN
ejpam-5613	566	78	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	566	79	(	(	PUNCT
ejpam-5613	566	80	t	t	PROPN
ejpam-5613	566	81	,	,	PUNCT
ejpam-5613	566	82	w	w	NOUN
ejpam-5613	566	83	)	)	PUNCT
ejpam-5613	566	84	∥∥∥	∥∥∥	NOUN
ejpam-5613	566	85	e1×e2	e1×e2	VERB
ejpam-5613	566	86	+	+	NUM
ejpam-5613	566	87	∫	∫	PROPN
ejpam-5613	566	88	a+b	a+b	NUM
ejpam-5613	566	89	2	2	NUM
ejpam-5613	566	90	a	a	DET
ejpam-5613	566	91	∫	∫	NOUN
ejpam-5613	566	92	c+d	c+d	PROPN
ejpam-5613	566	93	2	2	NUM
ejpam-5613	566	94	c	c	NOUN
ejpam-5613	566	95	(	(	PUNCT
ejpam-5613	566	96	∫	∫	PROPN
ejpam-5613	566	97	a+b	a+b	NUM
ejpam-5613	566	98	2	2	NUM
ejpam-5613	566	99	t	t	NOUN
ejpam-5613	566	100	∫	∫	NOUN
ejpam-5613	566	101	c+d	c+d	PROPN
ejpam-5613	566	102	2	2	NUM
ejpam-5613	566	103	w	w	PROPN
ejpam-5613	566	104	|α	|α	NOUN
ejpam-5613	566	105	(	(	PUNCT
ejpam-5613	566	106	s	s	PROPN
ejpam-5613	566	107	,	,	PUNCT
ejpam-5613	566	108	r)|	r)|	ADJ
ejpam-5613	566	109	drds	drd	NOUN
ejpam-5613	566	110	)	)	PUNCT
ejpam-5613	566	111	dwdt	dwdt	PROPN
ejpam-5613	566	112	sup	sup	PROPN
ejpam-5613	566	113	(	(	PUNCT
ejpam-5613	566	114	t	t	PROPN
ejpam-5613	566	115	,	,	PUNCT
ejpam-5613	566	116	w)∈[a	w)∈[a	NOUN
ejpam-5613	566	117	,	,	PUNCT
ejpam-5613	566	118	a+b	a+b	NUM
ejpam-5613	566	119	2	2	NUM
ejpam-5613	566	120	]	]	SYM
ejpam-5613	566	121	×[c	×[c	NUM
ejpam-5613	566	122	,	,	PUNCT
ejpam-5613	566	123	c+d	c+d	PROPN
ejpam-5613	566	124	2	2	NUM
ejpam-5613	566	125	]	]	PUNCT
ejpam-5613	566	126	∥∥∥	∥∥∥	NUM
ejpam-5613	566	127	∂2	∂2	NOUN
ejpam-5613	566	128	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	566	129	(	(	PUNCT
ejpam-5613	566	130	t	t	PROPN
ejpam-5613	566	131	,	,	PUNCT
ejpam-5613	566	132	w	w	NOUN
ejpam-5613	566	133	)	)	PUNCT
ejpam-5613	566	134	∥∥∥	∥∥∥	NOUN
ejpam-5613	566	135	e1×e2	e1×e2	VERB
ejpam-5613	566	136	.	.	PUNCT
ejpam-5613	567	1	(	(	PUNCT
ejpam-5613	567	2	2.29	2.29	NUM
ejpam-5613	567	3	)	)	PUNCT
ejpam-5613	567	4	with	with	ADP
ejpam-5613	567	5	the	the	DET
ejpam-5613	567	6	assuptions	assuption	NOUN
ejpam-5613	567	7	of	of	ADP
ejpam-5613	567	8	corollary	corollary	ADJ
ejpam-5613	567	9	3	3	NUM
ejpam-5613	567	10	,	,	PUNCT
ejpam-5613	567	11	one	one	PRON
ejpam-5613	567	12	can	can	AUX
ejpam-5613	567	13	obtain	obtain	VERB
ejpam-5613	567	14	the	the	DET
ejpam-5613	567	15	following	follow	VERB
ejpam-5613	567	16	results	result	NOUN
ejpam-5613	567	17	:	:	PUNCT
ejpam-5613	567	18	corollary	corollary	ADJ
ejpam-5613	567	19	4	4	NUM
ejpam-5613	567	20	.	.	PUNCT
ejpam-5613	567	21	with	with	ADP
ejpam-5613	567	22	the	the	DET
ejpam-5613	567	23	assumptions	assumption	NOUN
ejpam-5613	567	24	of	of	ADP
ejpam-5613	567	25	corollary	corollary	ADJ
ejpam-5613	567	26	3	3	NUM
ejpam-5613	567	27	,	,	PUNCT
ejpam-5613	567	28	we	we	PRON
ejpam-5613	567	29	get∥∥∥∥∥	get∥∥∥∥∥	VERB
ejpam-5613	567	30	(	(	PUNCT
ejpam-5613	567	31	∫	∫	PROPN
ejpam-5613	567	32	b	b	PROPN
ejpam-5613	567	33	a+b	a+b	NUM
ejpam-5613	567	34	2	2	NUM
ejpam-5613	567	35	∫	∫	NOUN
ejpam-5613	567	36	d	d	X
ejpam-5613	567	37	c+d	c+d	PROPN
ejpam-5613	567	38	2	2	NUM
ejpam-5613	567	39	α	α	NOUN
ejpam-5613	567	40	(	(	PUNCT
ejpam-5613	567	41	s	s	X
ejpam-5613	567	42	,	,	PUNCT
ejpam-5613	567	43	r	r	NOUN
ejpam-5613	567	44	)	)	PUNCT
ejpam-5613	567	45	drds	drd	NOUN
ejpam-5613	567	46	)	)	PUNCT
ejpam-5613	568	1	y	y	PROPN
ejpam-5613	568	2	(	(	PUNCT
ejpam-5613	568	3	b	b	NOUN
ejpam-5613	568	4	,	,	PUNCT
ejpam-5613	568	5	d	d	NOUN
ejpam-5613	568	6	)	)	PUNCT
ejpam-5613	569	1	+	+	CCONJ
ejpam-5613	569	2	(	(	PUNCT
ejpam-5613	569	3	∫	∫	PROPN
ejpam-5613	569	4	a+b	a+b	NUM
ejpam-5613	569	5	2	2	NUM
ejpam-5613	569	6	a	a	DET
ejpam-5613	569	7	∫	∫	PROPN
ejpam-5613	569	8	d	d	X
ejpam-5613	569	9	c+d	c+d	PROPN
ejpam-5613	569	10	2	2	NUM
ejpam-5613	569	11	α	α	NOUN
ejpam-5613	569	12	(	(	PUNCT
ejpam-5613	569	13	s	s	X
ejpam-5613	569	14	,	,	PUNCT
ejpam-5613	569	15	r	r	NOUN
ejpam-5613	569	16	)	)	PUNCT
ejpam-5613	569	17	drds	drd	NOUN
ejpam-5613	569	18	)	)	PUNCT
ejpam-5613	569	19	y	y	PROPN
ejpam-5613	569	20	(	(	PUNCT
ejpam-5613	569	21	a	a	DET
ejpam-5613	569	22	,	,	PUNCT
ejpam-5613	569	23	d	d	NOUN
ejpam-5613	569	24	)	)	PUNCT
ejpam-5613	570	1	+	+	CCONJ
ejpam-5613	570	2	(	(	PUNCT
ejpam-5613	570	3	∫	∫	PROPN
ejpam-5613	570	4	b	b	PROPN
ejpam-5613	570	5	a+b	a+b	NUM
ejpam-5613	570	6	2	2	NUM
ejpam-5613	570	7	∫	∫	NOUN
ejpam-5613	570	8	c+d	c+d	PROPN
ejpam-5613	570	9	2	2	NUM
ejpam-5613	570	10	c	c	NOUN
ejpam-5613	570	11	α	α	X
ejpam-5613	570	12	(	(	PUNCT
ejpam-5613	570	13	s	s	X
ejpam-5613	570	14	,	,	PUNCT
ejpam-5613	570	15	r	r	NOUN
ejpam-5613	570	16	)	)	PUNCT
ejpam-5613	570	17	drds	drd	NOUN
ejpam-5613	570	18	)	)	PUNCT
ejpam-5613	570	19	y	y	PROPN
ejpam-5613	570	20	(	(	PUNCT
ejpam-5613	570	21	b	b	NOUN
ejpam-5613	570	22	,	,	PUNCT
ejpam-5613	570	23	c	c	NOUN
ejpam-5613	570	24	)	)	PUNCT
ejpam-5613	571	1	+	+	CCONJ
ejpam-5613	571	2	(	(	PUNCT
ejpam-5613	571	3	∫	∫	PROPN
ejpam-5613	571	4	a+b	a+b	NUM
ejpam-5613	571	5	2	2	NUM
ejpam-5613	571	6	a	a	DET
ejpam-5613	571	7	∫	∫	NOUN
ejpam-5613	571	8	c+d	c+d	PROPN
ejpam-5613	571	9	2	2	NUM
ejpam-5613	571	10	c	c	NOUN
ejpam-5613	571	11	α	α	X
ejpam-5613	571	12	(	(	PUNCT
ejpam-5613	571	13	s	s	X
ejpam-5613	571	14	,	,	PUNCT
ejpam-5613	571	15	r	r	NOUN
ejpam-5613	571	16	)	)	PUNCT
ejpam-5613	571	17	drds	drd	NOUN
ejpam-5613	571	18	)	)	PUNCT
ejpam-5613	571	19	y	y	PROPN
ejpam-5613	571	20	(	(	PUNCT
ejpam-5613	571	21	a	a	PRON
ejpam-5613	571	22	,	,	PUNCT
ejpam-5613	571	23	c	c	NOUN
ejpam-5613	571	24	)	)	PUNCT
ejpam-5613	571	25	−	−	NOUN
ejpam-5613	572	1	∫	∫	PROPN
ejpam-5613	572	2	b	b	PROPN
ejpam-5613	572	3	a	a	DET
ejpam-5613	572	4	y	y	PROPN
ejpam-5613	572	5	(	(	PUNCT
ejpam-5613	572	6	t	t	PROPN
ejpam-5613	572	7	,	,	PUNCT
ejpam-5613	572	8	d	d	NOUN
ejpam-5613	572	9	)	)	PUNCT
ejpam-5613	572	10	(	(	PUNCT
ejpam-5613	572	11	∫	∫	PROPN
ejpam-5613	572	12	d	d	X
ejpam-5613	572	13	c+d	c+d	PROPN
ejpam-5613	572	14	2	2	NUM
ejpam-5613	572	15	α	α	NOUN
ejpam-5613	572	16	(	(	PUNCT
ejpam-5613	572	17	t	t	PROPN
ejpam-5613	572	18	,	,	PUNCT
ejpam-5613	572	19	r	r	NOUN
ejpam-5613	572	20	)	)	PUNCT
ejpam-5613	572	21	dr	dr	PROPN
ejpam-5613	572	22	)	)	PUNCT
ejpam-5613	572	23	dt−	dt−	PROPN
ejpam-5613	572	24	∫	∫	PROPN
ejpam-5613	572	25	b	b	PROPN
ejpam-5613	572	26	a	a	DET
ejpam-5613	572	27	y	y	PROPN
ejpam-5613	572	28	(	(	PUNCT
ejpam-5613	572	29	t	t	PROPN
ejpam-5613	572	30	,	,	PUNCT
ejpam-5613	572	31	c	c	NOUN
ejpam-5613	572	32	)	)	PUNCT
ejpam-5613	572	33	(	(	PUNCT
ejpam-5613	572	34	∫	∫	PROPN
ejpam-5613	572	35	c+d	c+d	PROPN
ejpam-5613	572	36	2	2	NUM
ejpam-5613	573	1	c	c	NOUN
ejpam-5613	573	2	α	α	PROPN
ejpam-5613	573	3	(	(	PUNCT
ejpam-5613	573	4	t	t	PROPN
ejpam-5613	573	5	,	,	PUNCT
ejpam-5613	573	6	r	r	NOUN
ejpam-5613	573	7	)	)	PUNCT
ejpam-5613	573	8	dr	dr	PROPN
ejpam-5613	573	9	)	)	PUNCT
ejpam-5613	573	10	dt	dt	PROPN
ejpam-5613	574	1	−	−	PROPN
ejpam-5613	574	2	∫	∫	PROPN
ejpam-5613	575	1	d	d	X
ejpam-5613	575	2	c	c	PROPN
ejpam-5613	575	3	y	y	PROPN
ejpam-5613	575	4	(	(	PUNCT
ejpam-5613	575	5	b	b	PROPN
ejpam-5613	575	6	,	,	PUNCT
ejpam-5613	575	7	w	w	NOUN
ejpam-5613	575	8	)	)	PUNCT
ejpam-5613	575	9	(	(	PUNCT
ejpam-5613	575	10	∫	∫	PROPN
ejpam-5613	575	11	b	b	PROPN
ejpam-5613	575	12	a+b	a+b	NUM
ejpam-5613	575	13	2	2	NUM
ejpam-5613	575	14	α	α	NOUN
ejpam-5613	575	15	(	(	PUNCT
ejpam-5613	575	16	s	s	PROPN
ejpam-5613	575	17	,	,	PUNCT
ejpam-5613	575	18	w	w	NOUN
ejpam-5613	575	19	)	)	PUNCT
ejpam-5613	575	20	ds	ds	ADJ
ejpam-5613	575	21	)	)	PUNCT
ejpam-5613	575	22	dw	dw	NOUN
ejpam-5613	576	1	−	−	PROPN
ejpam-5613	576	2	∫	∫	PROPN
ejpam-5613	577	1	d	d	X
ejpam-5613	577	2	c	c	PROPN
ejpam-5613	577	3	y	y	PROPN
ejpam-5613	577	4	(	(	PUNCT
ejpam-5613	577	5	a	a	DET
ejpam-5613	577	6	,	,	PUNCT
ejpam-5613	577	7	w	w	NOUN
ejpam-5613	577	8	)	)	PUNCT
ejpam-5613	577	9	(	(	PUNCT
ejpam-5613	577	10	∫	∫	PROPN
ejpam-5613	577	11	a+b	a+b	NUM
ejpam-5613	577	12	2	2	NUM
ejpam-5613	577	13	a	a	DET
ejpam-5613	577	14	α	α	PROPN
ejpam-5613	577	15	(	(	PUNCT
ejpam-5613	577	16	s	s	PROPN
ejpam-5613	577	17	,	,	PUNCT
ejpam-5613	577	18	w	w	NOUN
ejpam-5613	577	19	)	)	PUNCT
ejpam-5613	577	20	ds	ds	ADJ
ejpam-5613	577	21	)	)	PUNCT
ejpam-5613	577	22	dw	dw	PROPN
ejpam-5613	577	23	o.	o.	PROPN
ejpam-5613	577	24	b.	b.	PROPN
ejpam-5613	577	25	almutairi	almutairi	PROPN
ejpam-5613	577	26	,	,	PUNCT
ejpam-5613	577	27	m.	m.	NOUN
ejpam-5613	577	28	a.	a.	PROPN
ejpam-5613	577	29	latif	latif	PROPN
ejpam-5613	577	30	/	/	SYM
ejpam-5613	577	31	eur	eur	PROPN
ejpam-5613	577	32	.	.	PUNCT
ejpam-5613	578	1	j.	j.	PROPN
ejpam-5613	578	2	pure	pure	PROPN
ejpam-5613	578	3	appl	appl	PROPN
ejpam-5613	578	4	.	.	PROPN
ejpam-5613	578	5	math	math	PROPN
ejpam-5613	578	6	,	,	PUNCT
ejpam-5613	578	7	18	18	NUM
ejpam-5613	578	8	(	(	PUNCT
ejpam-5613	578	9	1	1	NUM
ejpam-5613	578	10	)	)	PUNCT
ejpam-5613	578	11	(	(	PUNCT
ejpam-5613	578	12	2025	2025	NUM
ejpam-5613	578	13	)	)	PUNCT
ejpam-5613	578	14	,	,	PUNCT
ejpam-5613	578	15	5608	5608	NUM
ejpam-5613	578	16	23	23	NUM
ejpam-5613	578	17	of	of	ADP
ejpam-5613	578	18	33	33	NUM
ejpam-5613	578	19	+	+	NUM
ejpam-5613	578	20	∫	∫	PROPN
ejpam-5613	578	21	b	b	PROPN
ejpam-5613	578	22	a	a	DET
ejpam-5613	578	23	∫	∫	PROPN
ejpam-5613	578	24	d	d	X
ejpam-5613	578	25	c	c	PROPN
ejpam-5613	578	26	α	α	PROPN
ejpam-5613	578	27	(	(	PUNCT
ejpam-5613	578	28	t	t	PROPN
ejpam-5613	578	29	,	,	PUNCT
ejpam-5613	578	30	w)y	w)y	X
ejpam-5613	578	31	(	(	PUNCT
ejpam-5613	578	32	t	t	PROPN
ejpam-5613	578	33	,	,	PUNCT
ejpam-5613	578	34	w	w	NOUN
ejpam-5613	578	35	)	)	PUNCT
ejpam-5613	578	36	dwdt	dwdt	NOUN
ejpam-5613	578	37	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	578	38	e1×e2	e1×e2	VERB
ejpam-5613	578	39	≤	≤	NUM
ejpam-5613	578	40	∫	∫	PROPN
ejpam-5613	578	41	b	b	PROPN
ejpam-5613	578	42	a+b	a+b	NUM
ejpam-5613	578	43	2	2	NUM
ejpam-5613	578	44	∫	∫	NOUN
ejpam-5613	578	45	d	d	X
ejpam-5613	578	46	c+d	c+d	PROPN
ejpam-5613	578	47	2	2	NUM
ejpam-5613	578	48	|α	|α	NOUN
ejpam-5613	578	49	(	(	PUNCT
ejpam-5613	578	50	s	s	PROPN
ejpam-5613	578	51	,	,	PUNCT
ejpam-5613	578	52	r)|	r)|	ADJ
ejpam-5613	578	53	drds	drd	NOUN
ejpam-5613	578	54	∫	∫	PROPN
ejpam-5613	578	55	b	b	PROPN
ejpam-5613	578	56	a+b	a+b	NUM
ejpam-5613	578	57	2	2	NUM
ejpam-5613	578	58	∫	∫	NOUN
ejpam-5613	578	59	d	d	X
ejpam-5613	578	60	c+d	c+d	PROPN
ejpam-5613	578	61	2	2	NUM
ejpam-5613	578	62	∥∥∥∥	∥∥∥∥	NOUN
ejpam-5613	578	63	∂2	∂2	NOUN
ejpam-5613	578	64	∂w∂t	∂w∂t	ADJ
ejpam-5613	578	65	y	y	PROPN
ejpam-5613	578	66	(	(	PUNCT
ejpam-5613	578	67	t	t	PROPN
ejpam-5613	578	68	,	,	PUNCT
ejpam-5613	578	69	w	w	PROPN
ejpam-5613	578	70	)	)	PUNCT
ejpam-5613	578	71	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	579	1	e1×e2	e1×e2	VERB
ejpam-5613	579	2	dwdt	dwdt	NOUN
ejpam-5613	579	3	+	+	CCONJ
ejpam-5613	579	4	∫	∫	PROPN
ejpam-5613	579	5	a+b	a+b	NUM
ejpam-5613	579	6	2	2	NUM
ejpam-5613	579	7	a	a	DET
ejpam-5613	579	8	∫	∫	PROPN
ejpam-5613	579	9	d	d	X
ejpam-5613	579	10	c+d	c+d	PROPN
ejpam-5613	579	11	2	2	NUM
ejpam-5613	579	12	|α	|α	NOUN
ejpam-5613	579	13	(	(	PUNCT
ejpam-5613	579	14	s	s	PROPN
ejpam-5613	579	15	,	,	PUNCT
ejpam-5613	579	16	r)|	r)|	ADJ
ejpam-5613	579	17	drds	drd	NOUN
ejpam-5613	579	18	∫	∫	PROPN
ejpam-5613	579	19	a+b	a+b	NUM
ejpam-5613	579	20	2	2	NUM
ejpam-5613	579	21	a	a	DET
ejpam-5613	579	22	∫	∫	PROPN
ejpam-5613	579	23	d	d	X
ejpam-5613	579	24	c+d	c+d	PROPN
ejpam-5613	579	25	2	2	NUM
ejpam-5613	579	26	∥∥∥∥	∥∥∥∥	NOUN
ejpam-5613	579	27	∂2	∂2	NOUN
ejpam-5613	579	28	∂w∂t	∂w∂t	ADJ
ejpam-5613	579	29	y	y	PROPN
ejpam-5613	579	30	(	(	PUNCT
ejpam-5613	579	31	t	t	PROPN
ejpam-5613	579	32	,	,	PUNCT
ejpam-5613	579	33	w	w	PROPN
ejpam-5613	579	34	)	)	PUNCT
ejpam-5613	579	35	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	580	1	e1×e2	e1×e2	VERB
ejpam-5613	580	2	dwdt	dwdt	NOUN
ejpam-5613	580	3	+	+	CCONJ
ejpam-5613	580	4	∫	∫	PROPN
ejpam-5613	580	5	b	b	PROPN
ejpam-5613	580	6	a+b	a+b	NUM
ejpam-5613	580	7	2	2	NUM
ejpam-5613	580	8	∫	∫	NOUN
ejpam-5613	580	9	c+d	c+d	PROPN
ejpam-5613	580	10	2	2	NUM
ejpam-5613	580	11	c	c	NOUN
ejpam-5613	580	12	|α	|α	NOUN
ejpam-5613	580	13	(	(	PUNCT
ejpam-5613	580	14	s	s	PROPN
ejpam-5613	580	15	,	,	PUNCT
ejpam-5613	580	16	r)|	r)|	ADJ
ejpam-5613	580	17	drds	drd	NOUN
ejpam-5613	580	18	∫	∫	PROPN
ejpam-5613	580	19	b	b	PROPN
ejpam-5613	580	20	a+b	a+b	NUM
ejpam-5613	580	21	2	2	NUM
ejpam-5613	580	22	∫	∫	NOUN
ejpam-5613	580	23	c+d	c+d	PROPN
ejpam-5613	580	24	2	2	NUM
ejpam-5613	580	25	c	c	NOUN
ejpam-5613	580	26	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	580	27	∂2	∂2	NUM
ejpam-5613	580	28	∂w∂t	∂w∂t	ADJ
ejpam-5613	580	29	y	y	PROPN
ejpam-5613	580	30	(	(	PUNCT
ejpam-5613	580	31	t	t	PROPN
ejpam-5613	580	32	,	,	PUNCT
ejpam-5613	580	33	w	w	PROPN
ejpam-5613	580	34	)	)	PUNCT
ejpam-5613	580	35	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	581	1	e1×e2	e1×e2	VERB
ejpam-5613	581	2	dwdt	dwdt	NOUN
ejpam-5613	581	3	+	+	CCONJ
ejpam-5613	581	4	∫	∫	PROPN
ejpam-5613	581	5	a+b	a+b	NUM
ejpam-5613	581	6	2	2	NUM
ejpam-5613	581	7	a	a	DET
ejpam-5613	581	8	∫	∫	NOUN
ejpam-5613	581	9	c+d	c+d	PROPN
ejpam-5613	581	10	2	2	NUM
ejpam-5613	581	11	c	c	NOUN
ejpam-5613	581	12	|α	|α	NOUN
ejpam-5613	581	13	(	(	PUNCT
ejpam-5613	581	14	s	s	PROPN
ejpam-5613	581	15	,	,	PUNCT
ejpam-5613	581	16	r)|	r)|	ADJ
ejpam-5613	581	17	drds	drd	NOUN
ejpam-5613	581	18	∫	∫	PROPN
ejpam-5613	581	19	a+b	a+b	NUM
ejpam-5613	581	20	2	2	NUM
ejpam-5613	581	21	a	a	DET
ejpam-5613	581	22	∫	∫	NOUN
ejpam-5613	581	23	c+d	c+d	PROPN
ejpam-5613	581	24	2	2	NUM
ejpam-5613	581	25	c	c	NOUN
ejpam-5613	581	26	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	581	27	∂2	∂2	NUM
ejpam-5613	581	28	∂w∂t	∂w∂t	ADJ
ejpam-5613	581	29	y	y	PROPN
ejpam-5613	581	30	(	(	PUNCT
ejpam-5613	581	31	t	t	PROPN
ejpam-5613	581	32	,	,	PUNCT
ejpam-5613	581	33	w	w	PROPN
ejpam-5613	581	34	)	)	PUNCT
ejpam-5613	581	35	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	581	36	e1×e2	e1×e2	VERB
ejpam-5613	581	37	dwdt	dwdt	NOUN
ejpam-5613	581	38	,	,	PUNCT
ejpam-5613	581	39	≤	≤	ADV
ejpam-5613	581	40			NUM
ejpam-5613	581	41	max	max	PROPN
ejpam-5613	581	42	{	{	PUNCT
ejpam-5613	581	43	∫	∫	PROPN
ejpam-5613	581	44	b	b	PROPN
ejpam-5613	581	45	a+b	a+b	NUM
ejpam-5613	581	46	2	2	NUM
ejpam-5613	581	47	∫	∫	NOUN
ejpam-5613	581	48	d	d	X
ejpam-5613	581	49	c+d	c+d	PROPN
ejpam-5613	581	50	2	2	NUM
ejpam-5613	581	51	|α	|α	NOUN
ejpam-5613	581	52	(	(	PUNCT
ejpam-5613	581	53	s	s	PROPN
ejpam-5613	581	54	,	,	PUNCT
ejpam-5613	581	55	r)|	r)|	PROPN
ejpam-5613	581	56	drds	drd	NOUN
ejpam-5613	581	57	,	,	PUNCT
ejpam-5613	581	58	∫	∫	PROPN
ejpam-5613	581	59	a+b	a+b	NUM
ejpam-5613	581	60	2	2	NUM
ejpam-5613	581	61	a	a	DET
ejpam-5613	581	62	∫	∫	PROPN
ejpam-5613	581	63	d	d	X
ejpam-5613	581	64	c+d	c+d	PROPN
ejpam-5613	581	65	2	2	NUM
ejpam-5613	581	66	|α	|α	NOUN
ejpam-5613	581	67	(	(	PUNCT
ejpam-5613	581	68	s	s	PROPN
ejpam-5613	581	69	,	,	PUNCT
ejpam-5613	581	70	r)|	r)|	ADJ
ejpam-5613	581	71	drds	drd	NOUN
ejpam-5613	581	72	+	+	CCONJ
ejpam-5613	581	73	∫	∫	PROPN
ejpam-5613	581	74	b	b	PROPN
ejpam-5613	581	75	a+b	a+b	NUM
ejpam-5613	581	76	2	2	NUM
ejpam-5613	581	77	∫	∫	NOUN
ejpam-5613	581	78	c+d	c+d	PROPN
ejpam-5613	581	79	2	2	NUM
ejpam-5613	581	80	c	c	NOUN
ejpam-5613	581	81	|α	|α	NOUN
ejpam-5613	581	82	(	(	PUNCT
ejpam-5613	581	83	s	s	PROPN
ejpam-5613	581	84	,	,	PUNCT
ejpam-5613	581	85	r)|	r)|	PROPN
ejpam-5613	581	86	drds	drd	NOUN
ejpam-5613	581	87	,	,	PUNCT
ejpam-5613	581	88	∫	∫	PROPN
ejpam-5613	581	89	a+b	a+b	NUM
ejpam-5613	581	90	2	2	NUM
ejpam-5613	581	91	a	a	DET
ejpam-5613	581	92	∫	∫	NOUN
ejpam-5613	581	93	c+d	c+d	PROPN
ejpam-5613	581	94	2	2	NUM
ejpam-5613	581	95	c	c	NOUN
ejpam-5613	581	96	|α	|α	NOUN
ejpam-5613	581	97	(	(	PUNCT
ejpam-5613	581	98	s	s	PROPN
ejpam-5613	581	99	,	,	PUNCT
ejpam-5613	581	100	r)|	r)|	ADJ
ejpam-5613	581	101	drds	drd	NOUN
ejpam-5613	581	102	}	}	PUNCT
ejpam-5613	581	103	×	×	NOUN
ejpam-5613	581	104	∫	∫	PROPN
ejpam-5613	581	105	b	b	PROPN
ejpam-5613	582	1	a	a	DET
ejpam-5613	582	2	∫	∫	PROPN
ejpam-5613	582	3	d	d	PROPN
ejpam-5613	582	4	c	c	PROPN
ejpam-5613	582	5	∥∥∥	∥∥∥	PROPN
ejpam-5613	582	6	∂2	∂2	NOUN
ejpam-5613	582	7	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	582	8	(	(	PUNCT
ejpam-5613	582	9	t	t	PROPN
ejpam-5613	582	10	,	,	PUNCT
ejpam-5613	582	11	w	w	NOUN
ejpam-5613	582	12	)	)	PUNCT
ejpam-5613	582	13	∥∥∥	∥∥∥	PROPN
ejpam-5613	582	14	e1×e2	e1×e2	VERB
ejpam-5613	582	15	dwdt	dwdt	NOUN
ejpam-5613	582	16	,	,	PUNCT
ejpam-5613	582	17	max	max	PROPN
ejpam-5613	582	18	{	{	PUNCT
ejpam-5613	582	19	∫	∫	PROPN
ejpam-5613	582	20	b	b	PROPN
ejpam-5613	582	21	a+b	a+b	NUM
ejpam-5613	582	22	2	2	NUM
ejpam-5613	582	23	∫	∫	NOUN
ejpam-5613	582	24	d	d	NOUN
ejpam-5613	582	25	c+d	c+d	PROPN
ejpam-5613	582	26	2	2	NUM
ejpam-5613	582	27	∥∥∥	∥∥∥	PROPN
ejpam-5613	582	28	∂2	∂2	NOUN
ejpam-5613	582	29	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	582	30	(	(	PUNCT
ejpam-5613	582	31	t	t	PROPN
ejpam-5613	582	32	,	,	PUNCT
ejpam-5613	582	33	w	w	NOUN
ejpam-5613	582	34	)	)	PUNCT
ejpam-5613	582	35	∥∥∥	∥∥∥	PROPN
ejpam-5613	582	36	e1×e2	e1×e2	PROPN
ejpam-5613	582	37	dwdt	dwdt	PROPN
ejpam-5613	582	38	,	,	PUNCT
ejpam-5613	582	39	∫	∫	PROPN
ejpam-5613	582	40	a+b	a+b	NUM
ejpam-5613	582	41	2	2	NUM
ejpam-5613	582	42	a	a	DET
ejpam-5613	582	43	∫	∫	PROPN
ejpam-5613	583	1	d	d	X
ejpam-5613	583	2	c+d	c+d	PROPN
ejpam-5613	583	3	2	2	NUM
ejpam-5613	583	4	∥∥∥	∥∥∥	PROPN
ejpam-5613	583	5	∂2	∂2	NOUN
ejpam-5613	583	6	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	583	7	(	(	PUNCT
ejpam-5613	583	8	t	t	PROPN
ejpam-5613	583	9	,	,	PUNCT
ejpam-5613	583	10	w	w	NOUN
ejpam-5613	583	11	)	)	PUNCT
ejpam-5613	583	12	∥∥∥	∥∥∥	NOUN
ejpam-5613	583	13	e1×e2	e1×e2	VERB
ejpam-5613	583	14	dwdt	dwdt	NOUN
ejpam-5613	583	15	+	+	CCONJ
ejpam-5613	583	16	∫	∫	PROPN
ejpam-5613	583	17	b	b	PROPN
ejpam-5613	583	18	a+b	a+b	NUM
ejpam-5613	583	19	2	2	NUM
ejpam-5613	583	20	∫	∫	NOUN
ejpam-5613	583	21	c+d	c+d	PROPN
ejpam-5613	583	22	2	2	NUM
ejpam-5613	583	23	c	c	NOUN
ejpam-5613	583	24	∥∥∥	∥∥∥	PROPN
ejpam-5613	583	25	∂2	∂2	NOUN
ejpam-5613	583	26	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	583	27	(	(	PUNCT
ejpam-5613	583	28	t	t	PROPN
ejpam-5613	583	29	,	,	PUNCT
ejpam-5613	583	30	w	w	NOUN
ejpam-5613	583	31	)	)	PUNCT
ejpam-5613	583	32	∥∥∥	∥∥∥	PROPN
ejpam-5613	583	33	e1×e2	e1×e2	PROPN
ejpam-5613	583	34	dwdt	dwdt	PROPN
ejpam-5613	583	35	,	,	PUNCT
ejpam-5613	583	36	∫	∫	PROPN
ejpam-5613	583	37	a+b	a+b	NUM
ejpam-5613	583	38	2	2	NUM
ejpam-5613	583	39	a	a	DET
ejpam-5613	583	40	∫	∫	NOUN
ejpam-5613	583	41	c+d	c+d	PROPN
ejpam-5613	583	42	2	2	NUM
ejpam-5613	583	43	c	c	NOUN
ejpam-5613	583	44	∥∥∥	∥∥∥	PROPN
ejpam-5613	583	45	∂2	∂2	NOUN
ejpam-5613	583	46	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	583	47	(	(	PUNCT
ejpam-5613	583	48	t	t	PROPN
ejpam-5613	583	49	,	,	PUNCT
ejpam-5613	583	50	w	w	NOUN
ejpam-5613	583	51	)	)	PUNCT
ejpam-5613	583	52	∥∥∥	∥∥∥	NOUN
ejpam-5613	583	53	e1×e2	e1×e2	VERB
ejpam-5613	583	54	dwdt	dwdt	NOUN
ejpam-5613	583	55	}	}	PUNCT
ejpam-5613	583	56	×	×	PROPN
ejpam-5613	583	57	∫	∫	PROPN
ejpam-5613	583	58	b	b	PROPN
ejpam-5613	584	1	a	a	DET
ejpam-5613	584	2	∫	∫	PROPN
ejpam-5613	584	3	d	d	PROPN
ejpam-5613	584	4	c	c	PROPN
ejpam-5613	584	5	|α	|α	PROPN
ejpam-5613	584	6	(	(	PUNCT
ejpam-5613	584	7	s	s	PROPN
ejpam-5613	584	8	,	,	PUNCT
ejpam-5613	584	9	r)|	r)|	ADJ
ejpam-5613	584	10	drds	drd	NOUN
ejpam-5613	584	11	.	.	PUNCT
ejpam-5613	585	1	≤	≤	NUM
ejpam-5613	585	2	∫	∫	PROPN
ejpam-5613	586	1	b	b	PROPN
ejpam-5613	586	2	a	a	DET
ejpam-5613	586	3	∫	∫	PROPN
ejpam-5613	586	4	d	d	PROPN
ejpam-5613	586	5	c	c	PROPN
ejpam-5613	586	6	|α	|α	PROPN
ejpam-5613	586	7	(	(	PUNCT
ejpam-5613	586	8	s	s	PROPN
ejpam-5613	586	9	,	,	PUNCT
ejpam-5613	586	10	r)|	r)|	ADJ
ejpam-5613	586	11	drds	drd	NOUN
ejpam-5613	586	12	∫	∫	PROPN
ejpam-5613	586	13	b	b	PROPN
ejpam-5613	586	14	a	a	DET
ejpam-5613	586	15	∫	∫	PROPN
ejpam-5613	586	16	d	d	X
ejpam-5613	586	17	c	c	PROPN
ejpam-5613	586	18	∂2	∂2	PROPN
ejpam-5613	586	19	∂w∂t	∂w∂t	PROPN
ejpam-5613	586	20	∥y	∥y	PROPN
ejpam-5613	586	21	(	(	PUNCT
ejpam-5613	586	22	t	t	PROPN
ejpam-5613	586	23	,	,	PUNCT
ejpam-5613	586	24	w)∥e1×e2	w)∥e1×e2	PROPN
ejpam-5613	586	25	dwdt	dwdt	NOUN
ejpam-5613	586	26	.	.	PUNCT
ejpam-5613	587	1	(	(	PUNCT
ejpam-5613	587	2	2.30	2.30	NUM
ejpam-5613	587	3	)	)	PUNCT
ejpam-5613	587	4	corollary	corollary	ADJ
ejpam-5613	587	5	5	5	NUM
ejpam-5613	587	6	.	.	PUNCT
ejpam-5613	588	1	with	with	ADP
ejpam-5613	588	2	the	the	DET
ejpam-5613	588	3	assumptions	assumption	NOUN
ejpam-5613	588	4	of	of	ADP
ejpam-5613	588	5	corollary	corollary	ADJ
ejpam-5613	588	6	3	3	NUM
ejpam-5613	588	7	,	,	PUNCT
ejpam-5613	588	8	we	we	PRON
ejpam-5613	588	9	get∥∥∥∥∥	get∥∥∥∥∥	VERB
ejpam-5613	588	10	(	(	PUNCT
ejpam-5613	588	11	∫	∫	PROPN
ejpam-5613	588	12	b	b	PROPN
ejpam-5613	588	13	a+b	a+b	NUM
ejpam-5613	588	14	2	2	NUM
ejpam-5613	588	15	∫	∫	NOUN
ejpam-5613	588	16	d	d	X
ejpam-5613	588	17	c+d	c+d	PROPN
ejpam-5613	588	18	2	2	NUM
ejpam-5613	588	19	α	α	NOUN
ejpam-5613	588	20	(	(	PUNCT
ejpam-5613	588	21	s	s	X
ejpam-5613	588	22	,	,	PUNCT
ejpam-5613	588	23	r	r	NOUN
ejpam-5613	588	24	)	)	PUNCT
ejpam-5613	588	25	drds	drd	NOUN
ejpam-5613	588	26	)	)	PUNCT
ejpam-5613	589	1	y	y	PROPN
ejpam-5613	589	2	(	(	PUNCT
ejpam-5613	589	3	b	b	NOUN
ejpam-5613	589	4	,	,	PUNCT
ejpam-5613	589	5	d	d	NOUN
ejpam-5613	589	6	)	)	PUNCT
ejpam-5613	590	1	+	+	CCONJ
ejpam-5613	590	2	(	(	PUNCT
ejpam-5613	590	3	∫	∫	PROPN
ejpam-5613	590	4	a+b	a+b	NUM
ejpam-5613	590	5	2	2	NUM
ejpam-5613	590	6	a	a	DET
ejpam-5613	590	7	∫	∫	PROPN
ejpam-5613	590	8	d	d	X
ejpam-5613	590	9	c+d	c+d	PROPN
ejpam-5613	590	10	2	2	NUM
ejpam-5613	590	11	α	α	NOUN
ejpam-5613	590	12	(	(	PUNCT
ejpam-5613	590	13	s	s	X
ejpam-5613	590	14	,	,	PUNCT
ejpam-5613	590	15	r	r	NOUN
ejpam-5613	590	16	)	)	PUNCT
ejpam-5613	590	17	drds	drd	NOUN
ejpam-5613	590	18	)	)	PUNCT
ejpam-5613	590	19	y	y	PROPN
ejpam-5613	590	20	(	(	PUNCT
ejpam-5613	590	21	a	a	DET
ejpam-5613	590	22	,	,	PUNCT
ejpam-5613	590	23	d	d	NOUN
ejpam-5613	590	24	)	)	PUNCT
ejpam-5613	591	1	+	+	CCONJ
ejpam-5613	591	2	(	(	PUNCT
ejpam-5613	591	3	∫	∫	PROPN
ejpam-5613	591	4	b	b	PROPN
ejpam-5613	591	5	a+b	a+b	NUM
ejpam-5613	591	6	2	2	NUM
ejpam-5613	591	7	∫	∫	NOUN
ejpam-5613	591	8	c+d	c+d	PROPN
ejpam-5613	591	9	2	2	NUM
ejpam-5613	591	10	c	c	NOUN
ejpam-5613	591	11	α	α	X
ejpam-5613	591	12	(	(	PUNCT
ejpam-5613	591	13	s	s	X
ejpam-5613	591	14	,	,	PUNCT
ejpam-5613	591	15	r	r	NOUN
ejpam-5613	591	16	)	)	PUNCT
ejpam-5613	591	17	drds	drd	NOUN
ejpam-5613	591	18	)	)	PUNCT
ejpam-5613	591	19	y	y	PROPN
ejpam-5613	591	20	(	(	PUNCT
ejpam-5613	591	21	b	b	NOUN
ejpam-5613	591	22	,	,	PUNCT
ejpam-5613	591	23	c	c	NOUN
ejpam-5613	591	24	)	)	PUNCT
ejpam-5613	592	1	+	+	CCONJ
ejpam-5613	592	2	(	(	PUNCT
ejpam-5613	592	3	∫	∫	PROPN
ejpam-5613	592	4	a+b	a+b	NUM
ejpam-5613	592	5	2	2	NUM
ejpam-5613	592	6	a	a	DET
ejpam-5613	592	7	∫	∫	NOUN
ejpam-5613	592	8	c+d	c+d	PROPN
ejpam-5613	592	9	2	2	NUM
ejpam-5613	592	10	c	c	NOUN
ejpam-5613	592	11	α	α	X
ejpam-5613	592	12	(	(	PUNCT
ejpam-5613	592	13	s	s	X
ejpam-5613	592	14	,	,	PUNCT
ejpam-5613	592	15	r	r	NOUN
ejpam-5613	592	16	)	)	PUNCT
ejpam-5613	592	17	drds	drd	NOUN
ejpam-5613	592	18	)	)	PUNCT
ejpam-5613	592	19	y	y	PROPN
ejpam-5613	592	20	(	(	PUNCT
ejpam-5613	592	21	a	a	PRON
ejpam-5613	592	22	,	,	PUNCT
ejpam-5613	592	23	c	c	NOUN
ejpam-5613	592	24	)	)	PUNCT
ejpam-5613	592	25	−	−	NOUN
ejpam-5613	593	1	∫	∫	PROPN
ejpam-5613	593	2	b	b	PROPN
ejpam-5613	593	3	a	a	DET
ejpam-5613	593	4	y	y	PROPN
ejpam-5613	593	5	(	(	PUNCT
ejpam-5613	593	6	t	t	PROPN
ejpam-5613	593	7	,	,	PUNCT
ejpam-5613	593	8	d	d	NOUN
ejpam-5613	593	9	)	)	PUNCT
ejpam-5613	593	10	(	(	PUNCT
ejpam-5613	593	11	∫	∫	PROPN
ejpam-5613	593	12	d	d	X
ejpam-5613	593	13	c+d	c+d	PROPN
ejpam-5613	593	14	2	2	NUM
ejpam-5613	593	15	α	α	NOUN
ejpam-5613	593	16	(	(	PUNCT
ejpam-5613	593	17	t	t	PROPN
ejpam-5613	593	18	,	,	PUNCT
ejpam-5613	593	19	r	r	NOUN
ejpam-5613	593	20	)	)	PUNCT
ejpam-5613	593	21	dr	dr	PROPN
ejpam-5613	593	22	)	)	PUNCT
ejpam-5613	593	23	dt−	dt−	PROPN
ejpam-5613	593	24	∫	∫	PROPN
ejpam-5613	593	25	b	b	PROPN
ejpam-5613	593	26	a	a	DET
ejpam-5613	593	27	y	y	PROPN
ejpam-5613	593	28	(	(	PUNCT
ejpam-5613	593	29	t	t	PROPN
ejpam-5613	593	30	,	,	PUNCT
ejpam-5613	593	31	c	c	NOUN
ejpam-5613	593	32	)	)	PUNCT
ejpam-5613	593	33	(	(	PUNCT
ejpam-5613	593	34	∫	∫	PROPN
ejpam-5613	593	35	c+d	c+d	PROPN
ejpam-5613	593	36	2	2	NUM
ejpam-5613	594	1	c	c	NOUN
ejpam-5613	594	2	α	α	PROPN
ejpam-5613	594	3	(	(	PUNCT
ejpam-5613	594	4	t	t	PROPN
ejpam-5613	594	5	,	,	PUNCT
ejpam-5613	594	6	r	r	NOUN
ejpam-5613	594	7	)	)	PUNCT
ejpam-5613	594	8	dr	dr	PROPN
ejpam-5613	594	9	)	)	PUNCT
ejpam-5613	594	10	dt	dt	PROPN
ejpam-5613	595	1	−	−	PROPN
ejpam-5613	595	2	∫	∫	PROPN
ejpam-5613	596	1	d	d	X
ejpam-5613	596	2	c	c	PROPN
ejpam-5613	596	3	y	y	PROPN
ejpam-5613	596	4	(	(	PUNCT
ejpam-5613	596	5	b	b	PROPN
ejpam-5613	596	6	,	,	PUNCT
ejpam-5613	596	7	w	w	NOUN
ejpam-5613	596	8	)	)	PUNCT
ejpam-5613	596	9	(	(	PUNCT
ejpam-5613	596	10	∫	∫	PROPN
ejpam-5613	596	11	b	b	PROPN
ejpam-5613	596	12	a+b	a+b	NUM
ejpam-5613	596	13	2	2	NUM
ejpam-5613	596	14	α	α	NOUN
ejpam-5613	596	15	(	(	PUNCT
ejpam-5613	596	16	s	s	PROPN
ejpam-5613	596	17	,	,	PUNCT
ejpam-5613	596	18	w	w	NOUN
ejpam-5613	596	19	)	)	PUNCT
ejpam-5613	596	20	ds	ds	ADJ
ejpam-5613	596	21	)	)	PUNCT
ejpam-5613	596	22	dw	dw	NOUN
ejpam-5613	597	1	−	−	PROPN
ejpam-5613	597	2	∫	∫	PROPN
ejpam-5613	598	1	d	d	X
ejpam-5613	598	2	c	c	PROPN
ejpam-5613	598	3	y	y	PROPN
ejpam-5613	598	4	(	(	PUNCT
ejpam-5613	598	5	a	a	DET
ejpam-5613	598	6	,	,	PUNCT
ejpam-5613	598	7	w	w	NOUN
ejpam-5613	598	8	)	)	PUNCT
ejpam-5613	598	9	(	(	PUNCT
ejpam-5613	598	10	∫	∫	PROPN
ejpam-5613	598	11	a+b	a+b	NUM
ejpam-5613	598	12	2	2	NUM
ejpam-5613	598	13	a	a	DET
ejpam-5613	598	14	α	α	PROPN
ejpam-5613	598	15	(	(	PUNCT
ejpam-5613	598	16	s	s	PROPN
ejpam-5613	598	17	,	,	PUNCT
ejpam-5613	598	18	w	w	NOUN
ejpam-5613	598	19	)	)	PUNCT
ejpam-5613	598	20	ds	ds	ADJ
ejpam-5613	598	21	)	)	PUNCT
ejpam-5613	598	22	dw	dw	PROPN
ejpam-5613	599	1	+	+	CCONJ
ejpam-5613	599	2	∫	∫	PROPN
ejpam-5613	599	3	b	b	PROPN
ejpam-5613	599	4	a	a	DET
ejpam-5613	599	5	∫	∫	PROPN
ejpam-5613	599	6	d	d	X
ejpam-5613	599	7	c	c	PROPN
ejpam-5613	599	8	α	α	PROPN
ejpam-5613	599	9	(	(	PUNCT
ejpam-5613	599	10	t	t	PROPN
ejpam-5613	599	11	,	,	PUNCT
ejpam-5613	599	12	w)y	w)y	X
ejpam-5613	599	13	(	(	PUNCT
ejpam-5613	599	14	t	t	PROPN
ejpam-5613	599	15	,	,	PUNCT
ejpam-5613	599	16	w	w	NOUN
ejpam-5613	599	17	)	)	PUNCT
ejpam-5613	599	18	dwdt	dwdt	NOUN
ejpam-5613	599	19	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	599	20	e1×e2	e1×e2	VERB
ejpam-5613	599	21	≤	≤	ADJ
ejpam-5613	599	22	sup	sup	NOUN
ejpam-5613	599	23	(	(	PUNCT
ejpam-5613	599	24	t	t	PROPN
ejpam-5613	599	25	,	,	PUNCT
ejpam-5613	599	26	w)∈[a	w)∈[a	NOUN
ejpam-5613	599	27	,	,	PUNCT
ejpam-5613	599	28	b]×[c	b]×[c	PROPN
ejpam-5613	599	29	,	,	PUNCT
ejpam-5613	599	30	d	d	X
ejpam-5613	599	31	]	]	PUNCT
ejpam-5613	599	32	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	600	1	∂2	∂2	NUM
ejpam-5613	600	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	600	3	y	y	PROPN
ejpam-5613	600	4	(	(	PUNCT
ejpam-5613	600	5	t	t	PROPN
ejpam-5613	600	6	,	,	PUNCT
ejpam-5613	600	7	w	w	PROPN
ejpam-5613	600	8	)	)	PUNCT
ejpam-5613	600	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	601	1	e1×e2	e1×e2	VERB
ejpam-5613	601	2	o.	o.	PROPN
ejpam-5613	601	3	b.	b.	PROPN
ejpam-5613	601	4	almutairi	almutairi	PROPN
ejpam-5613	601	5	,	,	PUNCT
ejpam-5613	601	6	m.	m.	NOUN
ejpam-5613	601	7	a.	a.	PROPN
ejpam-5613	601	8	latif	latif	PROPN
ejpam-5613	601	9	/	/	SYM
ejpam-5613	601	10	eur	eur	PROPN
ejpam-5613	601	11	.	.	PUNCT
ejpam-5613	602	1	j.	j.	PROPN
ejpam-5613	602	2	pure	pure	PROPN
ejpam-5613	602	3	appl	appl	PROPN
ejpam-5613	602	4	.	.	PROPN
ejpam-5613	602	5	math	math	PROPN
ejpam-5613	602	6	,	,	PUNCT
ejpam-5613	602	7	18	18	NUM
ejpam-5613	602	8	(	(	PUNCT
ejpam-5613	602	9	1	1	NUM
ejpam-5613	602	10	)	)	PUNCT
ejpam-5613	602	11	(	(	PUNCT
ejpam-5613	602	12	2025	2025	NUM
ejpam-5613	602	13	)	)	PUNCT
ejpam-5613	602	14	,	,	PUNCT
ejpam-5613	602	15	5608	5608	NUM
ejpam-5613	602	16	24	24	NUM
ejpam-5613	602	17	of	of	ADP
ejpam-5613	602	18	33	33	NUM
ejpam-5613	602	19	×	×	NOUN
ejpam-5613	602	20			NUM
ejpam-5613	602	21	(	(	PUNCT
ejpam-5613	602	22	b−a)(d−c	b−a)(d−c	PROPN
ejpam-5613	602	23	)	)	PUNCT
ejpam-5613	602	24	4	4	NUM
ejpam-5613	602	25	∫	∫	PROPN
ejpam-5613	602	26	b	b	PROPN
ejpam-5613	602	27	a	a	DET
ejpam-5613	602	28	∫	∫	PROPN
ejpam-5613	602	29	d	d	X
ejpam-5613	602	30	c	c	PROPN
ejpam-5613	602	31	|α(t	|α(t	PROPN
ejpam-5613	602	32	,	,	PUNCT
ejpam-5613	602	33	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	602	34	,	,	PUNCT
ejpam-5613	602	35	[	[	X
ejpam-5613	602	36	(	(	PUNCT
ejpam-5613	602	37	b−a)(d−c	b−a)(d−c	PROPN
ejpam-5613	602	38	)	)	PUNCT
ejpam-5613	602	39	]	]	PUNCT
ejpam-5613	602	40	1	1	NUM
ejpam-5613	602	41	q+1	q+1	NUM
ejpam-5613	602	42	4(q+1	4(q+1	NUM
ejpam-5613	602	43	)	)	PUNCT
ejpam-5613	602	44	2	2	NUM
ejpam-5613	602	45	q	q	NOUN
ejpam-5613	602	46	(	(	PUNCT
ejpam-5613	602	47	∫	∫	PROPN
ejpam-5613	602	48	b	b	PROPN
ejpam-5613	602	49	a	a	DET
ejpam-5613	602	50	∫	∫	PROPN
ejpam-5613	602	51	d	d	X
ejpam-5613	602	52	c	c	PROPN
ejpam-5613	602	53	|α(t	|α(t	PROPN
ejpam-5613	602	54	,	,	PUNCT
ejpam-5613	602	55	w)|pdwdt	w)|pdwdt	NOUN
ejpam-5613	602	56	)	)	PUNCT
ejpam-5613	602	57	1	1	NUM
ejpam-5613	602	58	p	p	NOUN
ejpam-5613	602	59	,	,	PUNCT
ejpam-5613	602	60	(	(	PUNCT
ejpam-5613	602	61	b−a)(d−c	b−a)(d−c	X
ejpam-5613	602	62	)	)	PUNCT
ejpam-5613	602	63	16	16	NUM
ejpam-5613	602	64	sup	sup	NOUN
ejpam-5613	602	65	(	(	PUNCT
ejpam-5613	602	66	t	t	NOUN
ejpam-5613	602	67	,	,	PUNCT
ejpam-5613	602	68	w)∈[a	w)∈[a	NOUN
ejpam-5613	602	69	,	,	PUNCT
ejpam-5613	602	70	b]×[c	b]×[c	PROPN
ejpam-5613	602	71	,	,	PUNCT
ejpam-5613	602	72	d	d	X
ejpam-5613	602	73	]	]	X
ejpam-5613	602	74	|α(t	|α(t	PROPN
ejpam-5613	602	75	,	,	PUNCT
ejpam-5613	602	76	s)|	s)|	NOUN
ejpam-5613	602	77	,	,	PUNCT
ejpam-5613	602	78	(	(	PUNCT
ejpam-5613	602	79	2.31	2.31	NUM
ejpam-5613	602	80	)	)	PUNCT
ejpam-5613	602	81	where	where	SCONJ
ejpam-5613	602	82	p	p	X
ejpam-5613	602	83	,	,	PUNCT
ejpam-5613	602	84	q	q	ADJ
ejpam-5613	602	85	>	>	X
ejpam-5613	602	86	1	1	NUM
ejpam-5613	602	87	with	with	ADP
ejpam-5613	602	88	1	1	NUM
ejpam-5613	602	89	p	p	NOUN
ejpam-5613	602	90	+	+	NOUN
ejpam-5613	602	91	1	1	NUM
ejpam-5613	602	92	q	q	NOUN
ejpam-5613	602	93	=	=	ADJ
ejpam-5613	602	94	1	1	X
ejpam-5613	602	95	.	.	PUNCT
ejpam-5613	602	96	corollary	corollary	ADJ
ejpam-5613	602	97	6	6	NUM
ejpam-5613	602	98	.	.	PUNCT
ejpam-5613	603	1	with	with	ADP
ejpam-5613	603	2	the	the	DET
ejpam-5613	603	3	assumptions	assumption	NOUN
ejpam-5613	603	4	of	of	ADP
ejpam-5613	603	5	corollary	corollary	ADJ
ejpam-5613	603	6	3	3	NUM
ejpam-5613	603	7	,	,	PUNCT
ejpam-5613	603	8	we	we	PRON
ejpam-5613	603	9	get∥∥∥∥∥	get∥∥∥∥∥	VERB
ejpam-5613	603	10	(	(	PUNCT
ejpam-5613	603	11	∫	∫	PROPN
ejpam-5613	603	12	b	b	PROPN
ejpam-5613	603	13	a+b	a+b	NUM
ejpam-5613	603	14	2	2	NUM
ejpam-5613	603	15	∫	∫	NOUN
ejpam-5613	603	16	d	d	X
ejpam-5613	603	17	c+d	c+d	PROPN
ejpam-5613	603	18	2	2	NUM
ejpam-5613	603	19	α	α	NOUN
ejpam-5613	603	20	(	(	PUNCT
ejpam-5613	603	21	s	s	X
ejpam-5613	603	22	,	,	PUNCT
ejpam-5613	603	23	r	r	NOUN
ejpam-5613	603	24	)	)	PUNCT
ejpam-5613	603	25	drds	drd	NOUN
ejpam-5613	603	26	)	)	PUNCT
ejpam-5613	604	1	y	y	PROPN
ejpam-5613	604	2	(	(	PUNCT
ejpam-5613	604	3	b	b	NOUN
ejpam-5613	604	4	,	,	PUNCT
ejpam-5613	604	5	d	d	NOUN
ejpam-5613	604	6	)	)	PUNCT
ejpam-5613	605	1	+	+	CCONJ
ejpam-5613	605	2	(	(	PUNCT
ejpam-5613	605	3	∫	∫	PROPN
ejpam-5613	605	4	a+b	a+b	NUM
ejpam-5613	605	5	2	2	NUM
ejpam-5613	605	6	a	a	DET
ejpam-5613	605	7	∫	∫	PROPN
ejpam-5613	605	8	d	d	X
ejpam-5613	605	9	c+d	c+d	PROPN
ejpam-5613	605	10	2	2	NUM
ejpam-5613	605	11	α	α	NOUN
ejpam-5613	605	12	(	(	PUNCT
ejpam-5613	605	13	s	s	X
ejpam-5613	605	14	,	,	PUNCT
ejpam-5613	605	15	r	r	NOUN
ejpam-5613	605	16	)	)	PUNCT
ejpam-5613	605	17	drds	drd	NOUN
ejpam-5613	605	18	)	)	PUNCT
ejpam-5613	605	19	y	y	PROPN
ejpam-5613	605	20	(	(	PUNCT
ejpam-5613	605	21	a	a	DET
ejpam-5613	605	22	,	,	PUNCT
ejpam-5613	605	23	d	d	NOUN
ejpam-5613	605	24	)	)	PUNCT
ejpam-5613	606	1	+	+	CCONJ
ejpam-5613	606	2	(	(	PUNCT
ejpam-5613	606	3	∫	∫	PROPN
ejpam-5613	606	4	b	b	PROPN
ejpam-5613	606	5	a+b	a+b	NUM
ejpam-5613	606	6	2	2	NUM
ejpam-5613	606	7	∫	∫	NOUN
ejpam-5613	606	8	c+d	c+d	PROPN
ejpam-5613	606	9	2	2	NUM
ejpam-5613	606	10	c	c	NOUN
ejpam-5613	606	11	α	α	X
ejpam-5613	606	12	(	(	PUNCT
ejpam-5613	606	13	s	s	X
ejpam-5613	606	14	,	,	PUNCT
ejpam-5613	606	15	r	r	NOUN
ejpam-5613	606	16	)	)	PUNCT
ejpam-5613	606	17	drds	drd	NOUN
ejpam-5613	606	18	)	)	PUNCT
ejpam-5613	606	19	y	y	PROPN
ejpam-5613	606	20	(	(	PUNCT
ejpam-5613	606	21	b	b	NOUN
ejpam-5613	606	22	,	,	PUNCT
ejpam-5613	606	23	c	c	NOUN
ejpam-5613	606	24	)	)	PUNCT
ejpam-5613	607	1	+	+	CCONJ
ejpam-5613	607	2	(	(	PUNCT
ejpam-5613	607	3	∫	∫	PROPN
ejpam-5613	607	4	a+b	a+b	NUM
ejpam-5613	607	5	2	2	NUM
ejpam-5613	607	6	a	a	DET
ejpam-5613	607	7	∫	∫	NOUN
ejpam-5613	607	8	c+d	c+d	PROPN
ejpam-5613	607	9	2	2	NUM
ejpam-5613	607	10	c	c	NOUN
ejpam-5613	607	11	α	α	X
ejpam-5613	607	12	(	(	PUNCT
ejpam-5613	607	13	s	s	X
ejpam-5613	607	14	,	,	PUNCT
ejpam-5613	607	15	r	r	NOUN
ejpam-5613	607	16	)	)	PUNCT
ejpam-5613	607	17	drds	drd	NOUN
ejpam-5613	607	18	)	)	PUNCT
ejpam-5613	607	19	y	y	PROPN
ejpam-5613	607	20	(	(	PUNCT
ejpam-5613	607	21	a	a	PRON
ejpam-5613	607	22	,	,	PUNCT
ejpam-5613	607	23	c	c	NOUN
ejpam-5613	607	24	)	)	PUNCT
ejpam-5613	607	25	−	−	NOUN
ejpam-5613	608	1	∫	∫	PROPN
ejpam-5613	608	2	b	b	PROPN
ejpam-5613	608	3	a	a	DET
ejpam-5613	608	4	y	y	PROPN
ejpam-5613	608	5	(	(	PUNCT
ejpam-5613	608	6	t	t	PROPN
ejpam-5613	608	7	,	,	PUNCT
ejpam-5613	608	8	d	d	NOUN
ejpam-5613	608	9	)	)	PUNCT
ejpam-5613	608	10	(	(	PUNCT
ejpam-5613	608	11	∫	∫	PROPN
ejpam-5613	608	12	d	d	X
ejpam-5613	608	13	c+d	c+d	PROPN
ejpam-5613	608	14	2	2	NUM
ejpam-5613	608	15	α	α	NOUN
ejpam-5613	608	16	(	(	PUNCT
ejpam-5613	608	17	t	t	PROPN
ejpam-5613	608	18	,	,	PUNCT
ejpam-5613	608	19	r	r	NOUN
ejpam-5613	608	20	)	)	PUNCT
ejpam-5613	608	21	dr	dr	PROPN
ejpam-5613	608	22	)	)	PUNCT
ejpam-5613	608	23	dt−	dt−	PROPN
ejpam-5613	608	24	∫	∫	PROPN
ejpam-5613	608	25	b	b	PROPN
ejpam-5613	608	26	a	a	DET
ejpam-5613	608	27	y	y	PROPN
ejpam-5613	608	28	(	(	PUNCT
ejpam-5613	608	29	t	t	PROPN
ejpam-5613	608	30	,	,	PUNCT
ejpam-5613	608	31	c	c	NOUN
ejpam-5613	608	32	)	)	PUNCT
ejpam-5613	608	33	(	(	PUNCT
ejpam-5613	608	34	∫	∫	PROPN
ejpam-5613	608	35	c+d	c+d	PROPN
ejpam-5613	608	36	2	2	NUM
ejpam-5613	609	1	c	c	NOUN
ejpam-5613	609	2	α	α	PROPN
ejpam-5613	609	3	(	(	PUNCT
ejpam-5613	609	4	t	t	PROPN
ejpam-5613	609	5	,	,	PUNCT
ejpam-5613	609	6	r	r	NOUN
ejpam-5613	609	7	)	)	PUNCT
ejpam-5613	609	8	dr	dr	PROPN
ejpam-5613	609	9	)	)	PUNCT
ejpam-5613	609	10	dt	dt	PROPN
ejpam-5613	610	1	−	−	PROPN
ejpam-5613	610	2	∫	∫	PROPN
ejpam-5613	611	1	d	d	X
ejpam-5613	611	2	c	c	PROPN
ejpam-5613	611	3	y	y	PROPN
ejpam-5613	611	4	(	(	PUNCT
ejpam-5613	611	5	b	b	PROPN
ejpam-5613	611	6	,	,	PUNCT
ejpam-5613	611	7	w	w	NOUN
ejpam-5613	611	8	)	)	PUNCT
ejpam-5613	611	9	(	(	PUNCT
ejpam-5613	611	10	∫	∫	PROPN
ejpam-5613	611	11	b	b	PROPN
ejpam-5613	611	12	a+b	a+b	NUM
ejpam-5613	611	13	2	2	NUM
ejpam-5613	611	14	α	α	NOUN
ejpam-5613	611	15	(	(	PUNCT
ejpam-5613	611	16	s	s	PROPN
ejpam-5613	611	17	,	,	PUNCT
ejpam-5613	611	18	w	w	NOUN
ejpam-5613	611	19	)	)	PUNCT
ejpam-5613	611	20	ds	ds	ADJ
ejpam-5613	611	21	)	)	PUNCT
ejpam-5613	611	22	dw	dw	NOUN
ejpam-5613	612	1	−	−	PROPN
ejpam-5613	612	2	∫	∫	PROPN
ejpam-5613	613	1	d	d	X
ejpam-5613	613	2	c	c	PROPN
ejpam-5613	613	3	y	y	PROPN
ejpam-5613	613	4	(	(	PUNCT
ejpam-5613	613	5	a	a	DET
ejpam-5613	613	6	,	,	PUNCT
ejpam-5613	613	7	w	w	NOUN
ejpam-5613	613	8	)	)	PUNCT
ejpam-5613	613	9	(	(	PUNCT
ejpam-5613	613	10	∫	∫	PROPN
ejpam-5613	613	11	a+b	a+b	NUM
ejpam-5613	613	12	2	2	NUM
ejpam-5613	613	13	a	a	DET
ejpam-5613	613	14	α	α	PROPN
ejpam-5613	613	15	(	(	PUNCT
ejpam-5613	613	16	s	s	PROPN
ejpam-5613	613	17	,	,	PUNCT
ejpam-5613	613	18	w	w	NOUN
ejpam-5613	613	19	)	)	PUNCT
ejpam-5613	613	20	ds	ds	ADJ
ejpam-5613	613	21	)	)	PUNCT
ejpam-5613	613	22	dw	dw	PROPN
ejpam-5613	614	1	+	+	CCONJ
ejpam-5613	614	2	∫	∫	PROPN
ejpam-5613	615	1	b	b	PROPN
ejpam-5613	615	2	a	a	DET
ejpam-5613	615	3	∫	∫	PROPN
ejpam-5613	615	4	d	d	X
ejpam-5613	615	5	c	c	PROPN
ejpam-5613	615	6	α	α	PROPN
ejpam-5613	615	7	(	(	PUNCT
ejpam-5613	615	8	t	t	PROPN
ejpam-5613	615	9	,	,	PUNCT
ejpam-5613	615	10	w)y	w)y	X
ejpam-5613	615	11	(	(	PUNCT
ejpam-5613	615	12	t	t	PROPN
ejpam-5613	615	13	,	,	PUNCT
ejpam-5613	615	14	w	w	NOUN
ejpam-5613	615	15	)	)	PUNCT
ejpam-5613	615	16	dwdt	dwdt	NOUN
ejpam-5613	615	17	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	615	18	e1×e2	e1×e2	VERB
ejpam-5613	615	19	≤	≤	NOUN
ejpam-5613	615	20	[	[	PUNCT
ejpam-5613	615	21	(	(	PUNCT
ejpam-5613	615	22	b−	b−	NOUN
ejpam-5613	615	23	a	a	NOUN
ejpam-5613	615	24	)	)	PUNCT
ejpam-5613	615	25	(	(	PUNCT
ejpam-5613	615	26	d−	d−	PROPN
ejpam-5613	615	27	c	c	PROPN
ejpam-5613	615	28	)	)	PUNCT
ejpam-5613	615	29	4	4	NUM
ejpam-5613	615	30	]	]	SYM
ejpam-5613	615	31	1	1	NUM
ejpam-5613	615	32	p	p	X
ejpam-5613	615	33	[	[	X
ejpam-5613	615	34	(	(	PUNCT
ejpam-5613	615	35	∫	∫	PROPN
ejpam-5613	615	36	b	b	PROPN
ejpam-5613	615	37	a+b	a+b	NUM
ejpam-5613	615	38	2	2	NUM
ejpam-5613	615	39	∫	∫	NOUN
ejpam-5613	615	40	d	d	X
ejpam-5613	615	41	c+d	c+d	PROPN
ejpam-5613	615	42	2	2	NUM
ejpam-5613	615	43	|α	|α	NOUN
ejpam-5613	615	44	(	(	PUNCT
ejpam-5613	615	45	s	s	PROPN
ejpam-5613	615	46	,	,	PUNCT
ejpam-5613	615	47	r)|	r)|	ADJ
ejpam-5613	615	48	drds	drd	NOUN
ejpam-5613	615	49	)	)	PUNCT
ejpam-5613	616	1	p	p	X
ejpam-5613	616	2	+	+	CCONJ
ejpam-5613	616	3	(	(	PUNCT
ejpam-5613	616	4	∫	∫	PROPN
ejpam-5613	616	5	a+b	a+b	NUM
ejpam-5613	616	6	2	2	NUM
ejpam-5613	616	7	a	a	DET
ejpam-5613	616	8	∫	∫	PROPN
ejpam-5613	616	9	d	d	X
ejpam-5613	616	10	c+d	c+d	PROPN
ejpam-5613	616	11	2	2	NUM
ejpam-5613	616	12	|α	|α	NOUN
ejpam-5613	616	13	(	(	PUNCT
ejpam-5613	616	14	s	s	PROPN
ejpam-5613	616	15	,	,	PUNCT
ejpam-5613	616	16	r)|	r)|	ADJ
ejpam-5613	616	17	drds	drd	NOUN
ejpam-5613	616	18	)	)	PUNCT
ejpam-5613	617	1	p	p	X
ejpam-5613	617	2	+	+	X
ejpam-5613	617	3	(	(	PUNCT
ejpam-5613	617	4	∫	∫	PROPN
ejpam-5613	617	5	b	b	PROPN
ejpam-5613	617	6	a+b	a+b	NUM
ejpam-5613	617	7	2	2	NUM
ejpam-5613	617	8	∫	∫	NOUN
ejpam-5613	617	9	c+d	c+d	PROPN
ejpam-5613	617	10	2	2	NUM
ejpam-5613	617	11	c	c	NOUN
ejpam-5613	617	12	|α	|α	NOUN
ejpam-5613	617	13	(	(	PUNCT
ejpam-5613	617	14	s	s	PROPN
ejpam-5613	617	15	,	,	PUNCT
ejpam-5613	617	16	r)|	r)|	ADJ
ejpam-5613	617	17	drds	drd	NOUN
ejpam-5613	617	18	)	)	PUNCT
ejpam-5613	618	1	p	p	X
ejpam-5613	619	1	+	+	CCONJ
ejpam-5613	619	2	(	(	PUNCT
ejpam-5613	619	3	∫	∫	PROPN
ejpam-5613	619	4	a+b	a+b	NUM
ejpam-5613	619	5	2	2	NUM
ejpam-5613	619	6	a	a	DET
ejpam-5613	619	7	∫	∫	NOUN
ejpam-5613	619	8	c+d	c+d	PROPN
ejpam-5613	619	9	2	2	NUM
ejpam-5613	619	10	c	c	NOUN
ejpam-5613	619	11	|α	|α	NOUN
ejpam-5613	619	12	(	(	PUNCT
ejpam-5613	619	13	s	s	PROPN
ejpam-5613	619	14	,	,	PUNCT
ejpam-5613	619	15	r)|	r)|	ADJ
ejpam-5613	619	16	drds	drd	NOUN
ejpam-5613	619	17	)	)	PUNCT
ejpam-5613	620	1	p	p	X
ejpam-5613	620	2	]	]	PUNCT
ejpam-5613	620	3	1	1	NUM
ejpam-5613	620	4	p	p	NOUN
ejpam-5613	620	5	×	×	NOUN
ejpam-5613	620	6	(	(	PUNCT
ejpam-5613	620	7	∫	∫	PROPN
ejpam-5613	620	8	b	b	PROPN
ejpam-5613	620	9	a	a	DET
ejpam-5613	620	10	∫	∫	PROPN
ejpam-5613	620	11	d	d	PROPN
ejpam-5613	620	12	c	c	PROPN
ejpam-5613	620	13	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	620	14	∂2	∂2	PROPN
ejpam-5613	620	15	∂w∂t	∂w∂t	ADJ
ejpam-5613	620	16	y	y	PROPN
ejpam-5613	620	17	(	(	PUNCT
ejpam-5613	620	18	t	t	PROPN
ejpam-5613	620	19	,	,	PUNCT
ejpam-5613	620	20	w	w	PROPN
ejpam-5613	620	21	)	)	PUNCT
ejpam-5613	620	22	∥∥∥∥q	∥∥∥∥q	PUNCT
ejpam-5613	621	1	e1×e2	e1×e2	VERB
ejpam-5613	621	2	dwdt	dwdt	NOUN
ejpam-5613	621	3	)	)	PUNCT
ejpam-5613	621	4	1	1	NUM
ejpam-5613	621	5	q	q	NOUN
ejpam-5613	621	6	,	,	PUNCT
ejpam-5613	621	7	(	(	PUNCT
ejpam-5613	621	8	2.32	2.32	NUM
ejpam-5613	621	9	)	)	PUNCT
ejpam-5613	621	10	where	where	SCONJ
ejpam-5613	621	11	p	p	X
ejpam-5613	621	12	,	,	PUNCT
ejpam-5613	621	13	q	q	ADJ
ejpam-5613	621	14	>	>	X
ejpam-5613	621	15	1	1	NUM
ejpam-5613	621	16	with	with	ADP
ejpam-5613	621	17	1	1	NUM
ejpam-5613	621	18	p	p	NOUN
ejpam-5613	621	19	+	+	NOUN
ejpam-5613	621	20	1	1	NUM
ejpam-5613	621	21	q	q	NOUN
ejpam-5613	621	22	=	=	NOUN
ejpam-5613	621	23	1	1	X
ejpam-5613	621	24	.	.	PUNCT
ejpam-5613	622	1	if	if	SCONJ
ejpam-5613	622	2	α	α	PROPN
ejpam-5613	622	3	(	(	PUNCT
ejpam-5613	622	4	s	s	X
ejpam-5613	622	5	,	,	PUNCT
ejpam-5613	622	6	r	r	NOUN
ejpam-5613	622	7	)	)	PUNCT
ejpam-5613	622	8	=	=	SYM
ejpam-5613	622	9	1	1	NUM
ejpam-5613	622	10	,	,	PUNCT
ejpam-5613	622	11	(	(	PUNCT
ejpam-5613	622	12	u	u	NOUN
ejpam-5613	622	13	,	,	PUNCT
ejpam-5613	622	14	v	v	NOUN
ejpam-5613	622	15	)	)	PUNCT
ejpam-5613	622	16	∈	∈	NOUN
ejpam-5613	622	17	[	[	X
ejpam-5613	622	18	a	a	X
ejpam-5613	622	19	,	,	PUNCT
ejpam-5613	622	20	b	b	NOUN
ejpam-5613	622	21	]	]	X
ejpam-5613	622	22	×	×	NOUN
ejpam-5613	623	1	[	[	X
ejpam-5613	623	2	c	c	X
ejpam-5613	623	3	,	,	PUNCT
ejpam-5613	623	4	d	d	X
ejpam-5613	623	5	]	]	X
ejpam-5613	623	6	,	,	PUNCT
ejpam-5613	623	7	then	then	ADV
ejpam-5613	623	8	we	we	PRON
ejpam-5613	623	9	can	can	AUX
ejpam-5613	623	10	get	get	VERB
ejpam-5613	623	11	the	the	DET
ejpam-5613	623	12	following	follow	VERB
ejpam-5613	623	13	very	very	ADV
ejpam-5613	623	14	interesting	interesting	ADJ
ejpam-5613	623	15	inequalities	inequality	NOUN
ejpam-5613	623	16	:	:	PUNCT
ejpam-5613	623	17	theorem	theorem	NOUN
ejpam-5613	623	18	5	5	NUM
ejpam-5613	623	19	.	.	PUNCT
ejpam-5613	623	20	assume	assume	VERB
ejpam-5613	623	21	that	that	SCONJ
ejpam-5613	624	1	y	y	PRON
ejpam-5613	624	2	:	:	PUNCT
ejpam-5613	625	1	[	[	X
ejpam-5613	625	2	a	a	X
ejpam-5613	625	3	,	,	PUNCT
ejpam-5613	625	4	b	b	NOUN
ejpam-5613	625	5	]	]	X
ejpam-5613	625	6	×	×	NOUN
ejpam-5613	625	7	[	[	X
ejpam-5613	625	8	c	c	X
ejpam-5613	625	9	,	,	PUNCT
ejpam-5613	625	10	d	d	X
ejpam-5613	625	11	]	]	X
ejpam-5613	625	12	→	→	PUNCT
ejpam-5613	625	13	e1	e1	PROPN
ejpam-5613	625	14	×	×	PROPN
ejpam-5613	625	15	e2	e2	NOUN
ejpam-5613	625	16	is	be	AUX
ejpam-5613	625	17	continuous	continuous	ADJ
ejpam-5613	625	18	and	and	CCONJ
ejpam-5613	625	19	∂y	∂y	PROPN
ejpam-5613	625	20	∂t	∂t	PROPN
ejpam-5613	625	21	,	,	PUNCT
ejpam-5613	625	22	∂y	∂y	PROPN
ejpam-5613	625	23	∂w	∂w	PROPN
ejpam-5613	625	24	,	,	PUNCT
ejpam-5613	625	25	∂2y	∂2y	PROPN
ejpam-5613	625	26	∂t∂w	∂t∂w	NOUN
ejpam-5613	625	27	exist	exist	VERB
ejpam-5613	625	28	on	on	ADP
ejpam-5613	625	29	(	(	PUNCT
ejpam-5613	625	30	a	a	PRON
ejpam-5613	625	31	,	,	PUNCT
ejpam-5613	625	32	b	b	NOUN
ejpam-5613	625	33	)	)	PUNCT
ejpam-5613	625	34	×	×	NOUN
ejpam-5613	625	35	(	(	PUNCT
ejpam-5613	625	36	c	c	X
ejpam-5613	625	37	,	,	PUNCT
ejpam-5613	625	38	d	d	NOUN
ejpam-5613	625	39	)	)	PUNCT
ejpam-5613	625	40	in	in	ADP
ejpam-5613	625	41	the	the	DET
ejpam-5613	625	42	norm	norm	NOUN
ejpam-5613	625	43	topology	topology	NOUN
ejpam-5613	625	44	∥(x	∥(x	NOUN
ejpam-5613	625	45	,	,	PUNCT
ejpam-5613	625	46	y)∥x×y	y)∥x×y	NOUN
ejpam-5613	625	47	=	=	SYM
ejpam-5613	625	48	∥x∥x	∥x∥x	PUNCT
ejpam-5613	625	49	+	+	NUM
ejpam-5613	625	50	∥y∥y	∥y∥y	NOUN
ejpam-5613	625	51	of	of	ADP
ejpam-5613	625	52	e1	e1	PROPN
ejpam-5613	625	53	×	×	PROPN
ejpam-5613	625	54	e2	e2	PROPN
ejpam-5613	625	55	,	,	PUNCT
ejpam-5613	625	56	o.	o.	PROPN
ejpam-5613	625	57	b.	b.	PROPN
ejpam-5613	625	58	almutairi	almutairi	PROPN
ejpam-5613	625	59	,	,	PUNCT
ejpam-5613	625	60	m.	m.	NOUN
ejpam-5613	625	61	a.	a.	PROPN
ejpam-5613	625	62	latif	latif	PROPN
ejpam-5613	625	63	/	/	SYM
ejpam-5613	625	64	eur	eur	PROPN
ejpam-5613	625	65	.	.	PUNCT
ejpam-5613	626	1	j.	j.	PROPN
ejpam-5613	626	2	pure	pure	PROPN
ejpam-5613	626	3	appl	appl	PROPN
ejpam-5613	626	4	.	.	PROPN
ejpam-5613	626	5	math	math	PROPN
ejpam-5613	626	6	,	,	PUNCT
ejpam-5613	626	7	18	18	NUM
ejpam-5613	626	8	(	(	PUNCT
ejpam-5613	626	9	1	1	NUM
ejpam-5613	626	10	)	)	PUNCT
ejpam-5613	626	11	(	(	PUNCT
ejpam-5613	626	12	2025	2025	NUM
ejpam-5613	626	13	)	)	PUNCT
ejpam-5613	626	14	,	,	PUNCT
ejpam-5613	626	15	5608	5608	NUM
ejpam-5613	626	16	25	25	NUM
ejpam-5613	626	17	of	of	ADP
ejpam-5613	626	18	33	33	NUM
ejpam-5613	626	19	(	(	PUNCT
ejpam-5613	626	20	x	x	NOUN
ejpam-5613	626	21	,	,	PUNCT
ejpam-5613	626	22	y	y	NOUN
ejpam-5613	626	23	)	)	PUNCT
ejpam-5613	626	24	∈	∈	PROPN
ejpam-5613	626	25	e1	e1	PROPN
ejpam-5613	626	26	×	×	PROPN
ejpam-5613	626	27	e2	e2	PROPN
ejpam-5613	626	28	,	,	PUNCT
ejpam-5613	626	29	then	then	ADV
ejpam-5613	626	30	we	we	PRON
ejpam-5613	626	31	get	get	VERB
ejpam-5613	626	32	the	the	DET
ejpam-5613	626	33	following	follow	VERB
ejpam-5613	626	34	inequalities	inequality	NOUN
ejpam-5613	626	35	for	for	ADP
ejpam-5613	626	36	all	all	DET
ejpam-5613	626	37	(	(	PUNCT
ejpam-5613	626	38	u	u	NOUN
ejpam-5613	626	39	,	,	PUNCT
ejpam-5613	626	40	v	v	NOUN
ejpam-5613	626	41	)	)	PUNCT
ejpam-5613	626	42	∈	∈	NOUN
ejpam-5613	627	1	[	[	X
ejpam-5613	627	2	a	a	X
ejpam-5613	627	3	,	,	PUNCT
ejpam-5613	627	4	b]×	b]×	NOUN
ejpam-5613	628	1	[	[	X
ejpam-5613	628	2	c	c	X
ejpam-5613	628	3	,	,	PUNCT
ejpam-5613	628	4	d	d	X
ejpam-5613	628	5	]	]	X
ejpam-5613	628	6	for	for	ADP
ejpam-5613	628	7	p	p	NOUN
ejpam-5613	628	8	,	,	PUNCT
ejpam-5613	628	9	q	q	ADJ
ejpam-5613	628	10	>	>	X
ejpam-5613	628	11	1	1	NUM
ejpam-5613	628	12	and	and	CCONJ
ejpam-5613	628	13	1	1	NUM
ejpam-5613	628	14	p	p	NOUN
ejpam-5613	629	1	+	+	NOUN
ejpam-5613	629	2	1	1	NUM
ejpam-5613	629	3	q	q	NOUN
ejpam-5613	629	4	=	=	NOUN
ejpam-5613	629	5	1	1	NUM
ejpam-5613	629	6	:	:	PUNCT
ejpam-5613	629	7	∥∥∥∥∫	∥∥∥∥∫	PROPN
ejpam-5613	629	8	b	b	SYM
ejpam-5613	629	9	u	u	NOUN
ejpam-5613	629	10	(	(	PUNCT
ejpam-5613	629	11	b−	b−	PROPN
ejpam-5613	629	12	u	u	NOUN
ejpam-5613	629	13	)	)	PUNCT
ejpam-5613	629	14	(	(	PUNCT
ejpam-5613	629	15	d−	d−	PROPN
ejpam-5613	629	16	v)y	v)y	SYM
ejpam-5613	629	17	(	(	PUNCT
ejpam-5613	629	18	b	b	X
ejpam-5613	629	19	,	,	PUNCT
ejpam-5613	629	20	d	d	NOUN
ejpam-5613	629	21	)	)	PUNCT
ejpam-5613	630	1	+	+	CCONJ
ejpam-5613	630	2	(	(	PUNCT
ejpam-5613	630	3	u−	u−	PROPN
ejpam-5613	630	4	a	a	NOUN
ejpam-5613	630	5	)	)	PUNCT
ejpam-5613	630	6	(	(	PUNCT
ejpam-5613	630	7	d−	d−	PROPN
ejpam-5613	630	8	v)y	v)y	X
ejpam-5613	630	9	(	(	PUNCT
ejpam-5613	630	10	a	a	DET
ejpam-5613	630	11	,	,	PUNCT
ejpam-5613	630	12	d	d	NOUN
ejpam-5613	630	13	)	)	PUNCT
ejpam-5613	630	14	+	+	CCONJ
ejpam-5613	630	15	(	(	PUNCT
ejpam-5613	630	16	b−	b−	PROPN
ejpam-5613	630	17	u	u	NOUN
ejpam-5613	630	18	)	)	PUNCT
ejpam-5613	630	19	(	(	PUNCT
ejpam-5613	630	20	v	v	NUM
ejpam-5613	630	21	−	−	NOUN
ejpam-5613	630	22	c)y	c)y	X
ejpam-5613	630	23	(	(	PUNCT
ejpam-5613	630	24	b	b	X
ejpam-5613	630	25	,	,	PUNCT
ejpam-5613	630	26	c	c	NOUN
ejpam-5613	630	27	)	)	PUNCT
ejpam-5613	631	1	+	+	CCONJ
ejpam-5613	631	2	(	(	PUNCT
ejpam-5613	631	3	u−	u−	PROPN
ejpam-5613	631	4	a	a	NOUN
ejpam-5613	631	5	)	)	PUNCT
ejpam-5613	631	6	(	(	PUNCT
ejpam-5613	631	7	v	v	NOUN
ejpam-5613	631	8	−	−	NOUN
ejpam-5613	631	9	c)y	c)y	X
ejpam-5613	631	10	(	(	PUNCT
ejpam-5613	631	11	a	a	PRON
ejpam-5613	631	12	,	,	PUNCT
ejpam-5613	631	13	c	c	NOUN
ejpam-5613	631	14	)	)	PUNCT
ejpam-5613	631	15	−	−	PROPN
ejpam-5613	632	1	(	(	PUNCT
ejpam-5613	632	2	d−	d−	PROPN
ejpam-5613	632	3	v	v	NOUN
ejpam-5613	632	4	)	)	PUNCT
ejpam-5613	632	5	∫	∫	PROPN
ejpam-5613	633	1	b	b	PROPN
ejpam-5613	633	2	a	a	DET
ejpam-5613	633	3	y	y	PROPN
ejpam-5613	633	4	(	(	PUNCT
ejpam-5613	633	5	t	t	PROPN
ejpam-5613	633	6	,	,	PUNCT
ejpam-5613	633	7	d	d	NOUN
ejpam-5613	633	8	)	)	PUNCT
ejpam-5613	633	9	dt−	dt−	NUM
ejpam-5613	633	10	(	(	PUNCT
ejpam-5613	633	11	v	v	NOUN
ejpam-5613	633	12	−	−	NOUN
ejpam-5613	633	13	c	c	NOUN
ejpam-5613	633	14	)	)	PUNCT
ejpam-5613	633	15	∫	∫	PROPN
ejpam-5613	634	1	b	b	PROPN
ejpam-5613	634	2	a	a	DET
ejpam-5613	634	3	y	y	PROPN
ejpam-5613	634	4	(	(	PUNCT
ejpam-5613	634	5	t	t	PROPN
ejpam-5613	634	6	,	,	PUNCT
ejpam-5613	634	7	c	c	NOUN
ejpam-5613	634	8	)	)	PUNCT
ejpam-5613	634	9	dt	dt	NOUN
ejpam-5613	634	10	−	−	PROPN
ejpam-5613	635	1	(	(	PUNCT
ejpam-5613	635	2	b−	b−	NOUN
ejpam-5613	635	3	u	u	NOUN
ejpam-5613	635	4	)	)	PUNCT
ejpam-5613	635	5	∫	∫	PROPN
ejpam-5613	636	1	d	d	PROPN
ejpam-5613	636	2	c	c	PROPN
ejpam-5613	636	3	y	y	PROPN
ejpam-5613	636	4	(	(	PUNCT
ejpam-5613	636	5	b	b	PROPN
ejpam-5613	636	6	,	,	PUNCT
ejpam-5613	636	7	w	w	PROPN
ejpam-5613	636	8	)	)	PUNCT
ejpam-5613	636	9	dw	dw	NOUN
ejpam-5613	636	10	−	−	PROPN
ejpam-5613	637	1	(	(	PUNCT
ejpam-5613	637	2	u−	u−	PROPN
ejpam-5613	637	3	a	a	NOUN
ejpam-5613	637	4	)	)	PUNCT
ejpam-5613	637	5	∫	∫	PROPN
ejpam-5613	638	1	d	d	PROPN
ejpam-5613	638	2	c	c	PROPN
ejpam-5613	638	3	y	y	PROPN
ejpam-5613	638	4	(	(	PUNCT
ejpam-5613	638	5	a	a	PRON
ejpam-5613	638	6	,	,	PUNCT
ejpam-5613	638	7	w	w	NOUN
ejpam-5613	638	8	)	)	PUNCT
ejpam-5613	638	9	dw	dw	NOUN
ejpam-5613	639	1	+	+	CCONJ
ejpam-5613	639	2	∫	∫	PROPN
ejpam-5613	639	3	b	b	PROPN
ejpam-5613	639	4	a	a	DET
ejpam-5613	639	5	∫	∫	PROPN
ejpam-5613	639	6	d	d	X
ejpam-5613	639	7	c	c	PROPN
ejpam-5613	639	8	y	y	PROPN
ejpam-5613	639	9	(	(	PUNCT
ejpam-5613	639	10	t	t	PROPN
ejpam-5613	639	11	,	,	PUNCT
ejpam-5613	639	12	w	w	NOUN
ejpam-5613	639	13	)	)	PUNCT
ejpam-5613	639	14	dwdt	dwdt	NOUN
ejpam-5613	639	15	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	639	16	e1×e2	e1×e2	VERB
ejpam-5613	639	17	≤	≤	NUM
ejpam-5613	639	18	c	c	NOUN
ejpam-5613	639	19	(	(	PUNCT
ejpam-5613	639	20	y	y	PROPN
ejpam-5613	639	21	,	,	PUNCT
ejpam-5613	639	22	u	u	NOUN
ejpam-5613	639	23	,	,	PUNCT
ejpam-5613	639	24	v	v	NOUN
ejpam-5613	639	25	)	)	PUNCT
ejpam-5613	639	26	,	,	PUNCT
ejpam-5613	639	27	(	(	PUNCT
ejpam-5613	639	28	2.33	2.33	NUM
ejpam-5613	639	29	)	)	PUNCT
ejpam-5613	639	30	where	where	SCONJ
ejpam-5613	639	31	c	c	PROPN
ejpam-5613	639	32	(	(	PUNCT
ejpam-5613	639	33	y	y	PROPN
ejpam-5613	639	34	,	,	PUNCT
ejpam-5613	639	35	u	u	NOUN
ejpam-5613	639	36	,	,	PUNCT
ejpam-5613	639	37	v	v	NOUN
ejpam-5613	639	38	)	)	PUNCT
ejpam-5613	639	39	:	:	PUNCT
ejpam-5613	640	1	=	=	PUNCT
ejpam-5613	640	2	∫	∫	PROPN
ejpam-5613	640	3	b	b	SYM
ejpam-5613	640	4	u	u	PROPN
ejpam-5613	640	5	∫	∫	PROPN
ejpam-5613	640	6	d	d	X
ejpam-5613	640	7	v	v	PROPN
ejpam-5613	640	8	(	(	PUNCT
ejpam-5613	640	9	t−	t−	PROPN
ejpam-5613	640	10	u	u	NOUN
ejpam-5613	640	11	)	)	PUNCT
ejpam-5613	640	12	(	(	PUNCT
ejpam-5613	640	13	w	w	NOUN
ejpam-5613	640	14	−	−	PROPN
ejpam-5613	640	15	v	v	NOUN
ejpam-5613	640	16	)	)	PUNCT
ejpam-5613	640	17	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	641	1	∂2	∂2	NUM
ejpam-5613	641	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	641	3	y	y	PROPN
ejpam-5613	641	4	(	(	PUNCT
ejpam-5613	641	5	t	t	PROPN
ejpam-5613	641	6	,	,	PUNCT
ejpam-5613	641	7	w	w	PROPN
ejpam-5613	641	8	)	)	PUNCT
ejpam-5613	641	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	642	1	e1×e2	e1×e2	VERB
ejpam-5613	642	2	dwdt	dwdt	NOUN
ejpam-5613	642	3	+	+	CCONJ
ejpam-5613	642	4	∫	∫	PROPN
ejpam-5613	642	5	u	u	NOUN
ejpam-5613	642	6	a	a	DET
ejpam-5613	642	7	∫	∫	PROPN
ejpam-5613	642	8	d	d	X
ejpam-5613	642	9	v	v	PROPN
ejpam-5613	642	10	(	(	PUNCT
ejpam-5613	642	11	u−	u−	PROPN
ejpam-5613	642	12	t	t	PROPN
ejpam-5613	642	13	)	)	PUNCT
ejpam-5613	642	14	(	(	PUNCT
ejpam-5613	642	15	w	w	NOUN
ejpam-5613	642	16	−	−	PROPN
ejpam-5613	642	17	v	v	NOUN
ejpam-5613	642	18	)	)	PUNCT
ejpam-5613	642	19	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	643	1	∂2	∂2	NUM
ejpam-5613	643	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	643	3	y	y	PROPN
ejpam-5613	643	4	(	(	PUNCT
ejpam-5613	643	5	t	t	PROPN
ejpam-5613	643	6	,	,	PUNCT
ejpam-5613	643	7	w	w	PROPN
ejpam-5613	643	8	)	)	PUNCT
ejpam-5613	643	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	644	1	e1×e2	e1×e2	VERB
ejpam-5613	644	2	dwdt	dwdt	NOUN
ejpam-5613	644	3	+	+	CCONJ
ejpam-5613	644	4	∫	∫	PROPN
ejpam-5613	644	5	b	b	X
ejpam-5613	644	6	u	u	PROPN
ejpam-5613	644	7	∫	∫	PROPN
ejpam-5613	644	8	v	v	X
ejpam-5613	644	9	c	c	PROPN
ejpam-5613	644	10	(	(	PUNCT
ejpam-5613	644	11	t−	t−	PROPN
ejpam-5613	644	12	u	u	NOUN
ejpam-5613	644	13	)	)	PUNCT
ejpam-5613	644	14	(	(	PUNCT
ejpam-5613	644	15	v	v	ADP
ejpam-5613	644	16	−	−	PROPN
ejpam-5613	644	17	w	w	NOUN
ejpam-5613	644	18	)	)	PUNCT
ejpam-5613	644	19	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	645	1	∂2	∂2	NUM
ejpam-5613	645	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	645	3	y	y	PROPN
ejpam-5613	645	4	(	(	PUNCT
ejpam-5613	645	5	t	t	PROPN
ejpam-5613	645	6	,	,	PUNCT
ejpam-5613	645	7	w	w	PROPN
ejpam-5613	645	8	)	)	PUNCT
ejpam-5613	645	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	646	1	e1×e2	e1×e2	VERB
ejpam-5613	646	2	dwdt	dwdt	NOUN
ejpam-5613	646	3	+	+	CCONJ
ejpam-5613	646	4	∫	∫	PROPN
ejpam-5613	646	5	u	u	PROPN
ejpam-5613	646	6	a	a	DET
ejpam-5613	646	7	∫	∫	PROPN
ejpam-5613	646	8	v	v	ADP
ejpam-5613	646	9	c	c	PROPN
ejpam-5613	646	10	(	(	PUNCT
ejpam-5613	646	11	u−	u−	PROPN
ejpam-5613	646	12	t	t	PROPN
ejpam-5613	646	13	)	)	PUNCT
ejpam-5613	646	14	(	(	PUNCT
ejpam-5613	646	15	v	v	ADP
ejpam-5613	646	16	−	−	PROPN
ejpam-5613	646	17	w	w	NOUN
ejpam-5613	646	18	)	)	PUNCT
ejpam-5613	646	19	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	647	1	∂2	∂2	NUM
ejpam-5613	647	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	647	3	y	y	PROPN
ejpam-5613	647	4	(	(	PUNCT
ejpam-5613	647	5	t	t	PROPN
ejpam-5613	647	6	,	,	PUNCT
ejpam-5613	647	7	w	w	PROPN
ejpam-5613	647	8	)	)	PUNCT
ejpam-5613	647	9	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	648	1	e1×e2	e1×e2	VERB
ejpam-5613	648	2	dwdt	dwdt	NOUN
ejpam-5613	648	3	.	.	PUNCT
ejpam-5613	649	1	(	(	PUNCT
ejpam-5613	649	2	2.34	2.34	NUM
ejpam-5613	649	3	)	)	PUNCT
ejpam-5613	649	4	we	we	PRON
ejpam-5613	649	5	also	also	ADV
ejpam-5613	649	6	have	have	VERB
ejpam-5613	649	7	the	the	DET
ejpam-5613	649	8	following	follow	VERB
ejpam-5613	649	9	bounds	bound	NOUN
ejpam-5613	649	10	for	for	ADP
ejpam-5613	649	11	c	c	PROPN
ejpam-5613	649	12	(	(	PUNCT
ejpam-5613	649	13	y	y	PROPN
ejpam-5613	649	14	,	,	PUNCT
ejpam-5613	649	15	u	u	NOUN
ejpam-5613	649	16	,	,	PUNCT
ejpam-5613	649	17	v	v	NOUN
ejpam-5613	649	18	):	):	PUNCT
ejpam-5613	649	19	c	c	PROPN
ejpam-5613	649	20	(	(	PUNCT
ejpam-5613	649	21	y	y	PROPN
ejpam-5613	649	22	,	,	PUNCT
ejpam-5613	649	23	u	u	NOUN
ejpam-5613	649	24	,	,	PUNCT
ejpam-5613	649	25	v	v	NOUN
ejpam-5613	649	26	)	)	PUNCT
ejpam-5613	649	27	o.	o.	PROPN
ejpam-5613	649	28	b.	b.	PROPN
ejpam-5613	649	29	almutairi	almutairi	PROPN
ejpam-5613	649	30	,	,	PUNCT
ejpam-5613	649	31	m.	m.	NOUN
ejpam-5613	649	32	a.	a.	PROPN
ejpam-5613	649	33	latif	latif	PROPN
ejpam-5613	649	34	/	/	SYM
ejpam-5613	649	35	eur	eur	PROPN
ejpam-5613	649	36	.	.	PUNCT
ejpam-5613	650	1	j.	j.	PROPN
ejpam-5613	650	2	pure	pure	PROPN
ejpam-5613	650	3	appl	appl	PROPN
ejpam-5613	650	4	.	.	PROPN
ejpam-5613	650	5	math	math	PROPN
ejpam-5613	650	6	,	,	PUNCT
ejpam-5613	650	7	18	18	NUM
ejpam-5613	650	8	(	(	PUNCT
ejpam-5613	650	9	1	1	NUM
ejpam-5613	650	10	)	)	PUNCT
ejpam-5613	650	11	(	(	PUNCT
ejpam-5613	650	12	2025	2025	NUM
ejpam-5613	650	13	)	)	PUNCT
ejpam-5613	650	14	,	,	PUNCT
ejpam-5613	650	15	5608	5608	NUM
ejpam-5613	650	16	26	26	NUM
ejpam-5613	650	17	of	of	ADP
ejpam-5613	650	18	33	33	NUM
ejpam-5613	650	19	≤	≤	NUM
ejpam-5613	650	20			NOUN
ejpam-5613	650	21	(	(	PUNCT
ejpam-5613	650	22	b−	b−	NOUN
ejpam-5613	650	23	u	u	NOUN
ejpam-5613	650	24	)	)	PUNCT
ejpam-5613	650	25	(	(	PUNCT
ejpam-5613	650	26	d−	d−	PROPN
ejpam-5613	650	27	v	v	NOUN
ejpam-5613	650	28	)	)	PUNCT
ejpam-5613	650	29	∫	∫	PROPN
ejpam-5613	651	1	b	b	SYM
ejpam-5613	651	2	u	u	PROPN
ejpam-5613	651	3	∫	∫	PROPN
ejpam-5613	651	4	d	d	PROPN
ejpam-5613	651	5	v	v	ADP
ejpam-5613	651	6	∥∥∥	∥∥∥	PROPN
ejpam-5613	651	7	∂2	∂2	NOUN
ejpam-5613	651	8	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	651	9	(	(	PUNCT
ejpam-5613	651	10	t	t	PROPN
ejpam-5613	651	11	,	,	PUNCT
ejpam-5613	651	12	w	w	NOUN
ejpam-5613	651	13	)	)	PUNCT
ejpam-5613	651	14	∥∥∥	∥∥∥	NOUN
ejpam-5613	651	15	e1×e2	e1×e2	VERB
ejpam-5613	651	16	dwdt	dwdt	NOUN
ejpam-5613	651	17	+	+	PROPN
ejpam-5613	651	18	(	(	PUNCT
ejpam-5613	651	19	u−	u−	PROPN
ejpam-5613	651	20	a	a	NOUN
ejpam-5613	651	21	)	)	PUNCT
ejpam-5613	651	22	(	(	PUNCT
ejpam-5613	651	23	d−	d−	PROPN
ejpam-5613	651	24	v	v	NOUN
ejpam-5613	651	25	)	)	PUNCT
ejpam-5613	651	26	∫	∫	PROPN
ejpam-5613	651	27	u	u	PROPN
ejpam-5613	651	28	a	a	DET
ejpam-5613	651	29	∫	∫	PROPN
ejpam-5613	652	1	d	d	X
ejpam-5613	652	2	v	v	ADP
ejpam-5613	652	3	∥∥∥	∥∥∥	PROPN
ejpam-5613	652	4	∂2	∂2	NOUN
ejpam-5613	652	5	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	652	6	(	(	PUNCT
ejpam-5613	652	7	t	t	PROPN
ejpam-5613	652	8	,	,	PUNCT
ejpam-5613	652	9	w	w	NOUN
ejpam-5613	652	10	)	)	PUNCT
ejpam-5613	652	11	∥∥∥	∥∥∥	NOUN
ejpam-5613	652	12	e1×e2	e1×e2	VERB
ejpam-5613	652	13	dwdt	dwdt	NOUN
ejpam-5613	652	14	+	+	PROPN
ejpam-5613	652	15	(	(	PUNCT
ejpam-5613	652	16	b−	b−	PROPN
ejpam-5613	652	17	u	u	NOUN
ejpam-5613	652	18	)	)	PUNCT
ejpam-5613	652	19	(	(	PUNCT
ejpam-5613	652	20	v	v	ADP
ejpam-5613	652	21	−	−	NOUN
ejpam-5613	652	22	c	c	NOUN
ejpam-5613	652	23	)	)	PUNCT
ejpam-5613	652	24	∫	∫	PROPN
ejpam-5613	652	25	b	b	SYM
ejpam-5613	652	26	u	u	PROPN
ejpam-5613	652	27	∫	∫	PROPN
ejpam-5613	652	28	v	v	ADP
ejpam-5613	652	29	c	c	PROPN
ejpam-5613	652	30	∥∥∥	∥∥∥	PROPN
ejpam-5613	652	31	∂2	∂2	NOUN
ejpam-5613	652	32	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	652	33	(	(	PUNCT
ejpam-5613	652	34	t	t	PROPN
ejpam-5613	652	35	,	,	PUNCT
ejpam-5613	652	36	w	w	NOUN
ejpam-5613	652	37	)	)	PUNCT
ejpam-5613	652	38	∥∥∥	∥∥∥	NOUN
ejpam-5613	652	39	e1×e2	e1×e2	VERB
ejpam-5613	652	40	dwdt	dwdt	NOUN
ejpam-5613	652	41	+	+	PROPN
ejpam-5613	652	42	(	(	PUNCT
ejpam-5613	652	43	u−	u−	PROPN
ejpam-5613	652	44	a	a	NOUN
ejpam-5613	652	45	)	)	PUNCT
ejpam-5613	652	46	(	(	PUNCT
ejpam-5613	652	47	v	v	NOUN
ejpam-5613	652	48	−	−	NOUN
ejpam-5613	652	49	c	c	NOUN
ejpam-5613	652	50	)	)	PUNCT
ejpam-5613	652	51	∫	∫	PROPN
ejpam-5613	652	52	u	u	PROPN
ejpam-5613	652	53	a	a	DET
ejpam-5613	652	54	∫	∫	PROPN
ejpam-5613	652	55	v	v	ADP
ejpam-5613	652	56	c	c	PROPN
ejpam-5613	652	57	∥∥∥	∥∥∥	PROPN
ejpam-5613	652	58	∂2	∂2	NOUN
ejpam-5613	652	59	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	652	60	(	(	PUNCT
ejpam-5613	652	61	t	t	PROPN
ejpam-5613	652	62	,	,	PUNCT
ejpam-5613	652	63	w	w	NOUN
ejpam-5613	652	64	)	)	PUNCT
ejpam-5613	652	65	∥∥∥	∥∥∥	PROPN
ejpam-5613	652	66	e1×e2	e1×e2	VERB
ejpam-5613	652	67	dwdt	dwdt	NOUN
ejpam-5613	652	68	,	,	PUNCT
ejpam-5613	652	69	[	[	X
ejpam-5613	652	70	(	(	PUNCT
ejpam-5613	652	71	b−u)(d−v	b−u)(d−v	PROPN
ejpam-5613	652	72	)	)	PUNCT
ejpam-5613	652	73	]	]	PUNCT
ejpam-5613	653	1	1	1	NUM
ejpam-5613	653	2	+	+	SYM
ejpam-5613	653	3	1	1	NUM
ejpam-5613	653	4	p	p	NOUN
ejpam-5613	653	5	(	(	PUNCT
ejpam-5613	653	6	1+p	1+p	NOUN
ejpam-5613	653	7	)	)	PUNCT
ejpam-5613	653	8	2	2	NUM
ejpam-5613	653	9	p	p	NOUN
ejpam-5613	654	1	[	[	X
ejpam-5613	654	2	∫	∫	X
ejpam-5613	654	3	b	b	X
ejpam-5613	654	4	u	u	PROPN
ejpam-5613	654	5	∫	∫	PROPN
ejpam-5613	654	6	d	d	PROPN
ejpam-5613	654	7	v	v	ADP
ejpam-5613	654	8	∥∥∥	∥∥∥	PROPN
ejpam-5613	654	9	∂2	∂2	NOUN
ejpam-5613	654	10	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	654	11	(	(	PUNCT
ejpam-5613	654	12	t	t	PROPN
ejpam-5613	654	13	,	,	PUNCT
ejpam-5613	654	14	w	w	NOUN
ejpam-5613	654	15	)	)	PUNCT
ejpam-5613	654	16	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	654	17	e1×e2	e1×e2	PROPN
ejpam-5613	654	18	dwdt	dwdt	NOUN
ejpam-5613	654	19	]	]	PUNCT
ejpam-5613	654	20	1	1	NUM
ejpam-5613	654	21	q	q	NOUN
ejpam-5613	655	1	+	+	X
ejpam-5613	656	1	[	[	X
ejpam-5613	656	2	(	(	PUNCT
ejpam-5613	656	3	a−u)(d−v	a−u)(d−v	PROPN
ejpam-5613	656	4	)	)	PUNCT
ejpam-5613	656	5	]	]	PUNCT
ejpam-5613	656	6	1	1	NUM
ejpam-5613	656	7	+	+	SYM
ejpam-5613	656	8	1	1	NUM
ejpam-5613	656	9	p	p	NOUN
ejpam-5613	656	10	(	(	PUNCT
ejpam-5613	656	11	1+p	1+p	NOUN
ejpam-5613	656	12	)	)	PUNCT
ejpam-5613	656	13	2	2	NUM
ejpam-5613	656	14	p	p	NOUN
ejpam-5613	657	1	[	[	X
ejpam-5613	657	2	∫	∫	X
ejpam-5613	657	3	u	u	NOUN
ejpam-5613	657	4	a	a	DET
ejpam-5613	657	5	∫	∫	PROPN
ejpam-5613	658	1	d	d	X
ejpam-5613	658	2	v	v	ADP
ejpam-5613	658	3	∥∥∥	∥∥∥	PROPN
ejpam-5613	658	4	∂2	∂2	NOUN
ejpam-5613	658	5	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	658	6	(	(	PUNCT
ejpam-5613	658	7	t	t	PROPN
ejpam-5613	658	8	,	,	PUNCT
ejpam-5613	658	9	w	w	NOUN
ejpam-5613	658	10	)	)	PUNCT
ejpam-5613	658	11	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	658	12	e1×e2	e1×e2	PROPN
ejpam-5613	658	13	dwdt	dwdt	NOUN
ejpam-5613	658	14	]	]	PUNCT
ejpam-5613	658	15	1	1	NUM
ejpam-5613	658	16	q	q	NOUN
ejpam-5613	658	17	+	+	X
ejpam-5613	658	18	[	[	X
ejpam-5613	658	19	(	(	PUNCT
ejpam-5613	658	20	b−u)(v−c	b−u)(v−c	NOUN
ejpam-5613	658	21	)	)	PUNCT
ejpam-5613	658	22	]	]	PUNCT
ejpam-5613	659	1	1	1	NUM
ejpam-5613	659	2	+	+	SYM
ejpam-5613	659	3	1	1	NUM
ejpam-5613	659	4	p	p	NOUN
ejpam-5613	659	5	(	(	PUNCT
ejpam-5613	659	6	1+p	1+p	NOUN
ejpam-5613	659	7	)	)	PUNCT
ejpam-5613	659	8	2	2	NUM
ejpam-5613	659	9	p	p	NOUN
ejpam-5613	659	10	[	[	X
ejpam-5613	659	11	∫	∫	X
ejpam-5613	659	12	b	b	X
ejpam-5613	659	13	u	u	NOUN
ejpam-5613	659	14	∫	∫	PROPN
ejpam-5613	659	15	v	v	ADP
ejpam-5613	659	16	c	c	PROPN
ejpam-5613	659	17	∥∥∥	∥∥∥	PROPN
ejpam-5613	659	18	∂2	∂2	NOUN
ejpam-5613	659	19	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	659	20	(	(	PUNCT
ejpam-5613	659	21	t	t	PROPN
ejpam-5613	659	22	,	,	PUNCT
ejpam-5613	659	23	w	w	NOUN
ejpam-5613	659	24	)	)	PUNCT
ejpam-5613	659	25	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	659	26	e1×e2	e1×e2	PROPN
ejpam-5613	659	27	dwdt	dwdt	NOUN
ejpam-5613	659	28	]	]	PUNCT
ejpam-5613	659	29	1	1	NUM
ejpam-5613	659	30	q	q	NOUN
ejpam-5613	659	31	+	+	X
ejpam-5613	660	1	[	[	X
ejpam-5613	660	2	(	(	PUNCT
ejpam-5613	660	3	u−a)(v−c	u−a)(v−c	PROPN
ejpam-5613	660	4	)	)	PUNCT
ejpam-5613	660	5	]	]	PUNCT
ejpam-5613	661	1	1	1	NUM
ejpam-5613	661	2	+	+	SYM
ejpam-5613	661	3	1	1	NUM
ejpam-5613	661	4	p	p	NOUN
ejpam-5613	661	5	(	(	PUNCT
ejpam-5613	661	6	1+p	1+p	NOUN
ejpam-5613	661	7	)	)	PUNCT
ejpam-5613	661	8	2	2	NUM
ejpam-5613	661	9	p	p	NOUN
ejpam-5613	661	10	[	[	X
ejpam-5613	661	11	∫	∫	X
ejpam-5613	661	12	u	u	NOUN
ejpam-5613	661	13	a	a	DET
ejpam-5613	661	14	∫	∫	PROPN
ejpam-5613	661	15	v	v	ADP
ejpam-5613	661	16	c	c	PROPN
ejpam-5613	661	17	∥∥∥	∥∥∥	PROPN
ejpam-5613	661	18	∂2	∂2	NOUN
ejpam-5613	661	19	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	661	20	(	(	PUNCT
ejpam-5613	661	21	t	t	PROPN
ejpam-5613	661	22	,	,	PUNCT
ejpam-5613	661	23	w	w	NOUN
ejpam-5613	661	24	)	)	PUNCT
ejpam-5613	661	25	∥∥∥q	∥∥∥q	NOUN
ejpam-5613	661	26	e1×e2	e1×e2	PROPN
ejpam-5613	661	27	dwdt	dwdt	NOUN
ejpam-5613	661	28	]	]	PUNCT
ejpam-5613	661	29	1	1	NUM
ejpam-5613	661	30	q	q	NOUN
ejpam-5613	661	31	,	,	PUNCT
ejpam-5613	661	32	[	[	X
ejpam-5613	661	33	(	(	PUNCT
ejpam-5613	661	34	b−u)(d−v)]2	b−u)(d−v)]2	ADJ
ejpam-5613	661	35	4	4	NUM
ejpam-5613	661	36	sup	sup	NOUN
ejpam-5613	661	37	(	(	PUNCT
ejpam-5613	661	38	t	t	PROPN
ejpam-5613	661	39	,	,	PUNCT
ejpam-5613	661	40	w)∈[u	w)∈[u	NOUN
ejpam-5613	661	41	,	,	PUNCT
ejpam-5613	661	42	b]×[v	b]×[v	PROPN
ejpam-5613	661	43	,	,	PUNCT
ejpam-5613	661	44	d	d	X
ejpam-5613	661	45	]	]	PUNCT
ejpam-5613	661	46	∥∥∥	∥∥∥	PROPN
ejpam-5613	661	47	∂2	∂2	NOUN
ejpam-5613	661	48	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	661	49	(	(	PUNCT
ejpam-5613	661	50	t	t	PROPN
ejpam-5613	661	51	,	,	PUNCT
ejpam-5613	661	52	w	w	NOUN
ejpam-5613	661	53	)	)	PUNCT
ejpam-5613	661	54	∥∥∥	∥∥∥	NOUN
ejpam-5613	661	55	e1×e2	e1×e2	VERB
ejpam-5613	661	56	+	+	PROPN
ejpam-5613	662	1	[	[	X
ejpam-5613	662	2	(	(	PUNCT
ejpam-5613	662	3	a−u)(d−v)]2	a−u)(d−v)]2	X
ejpam-5613	662	4	4	4	NUM
ejpam-5613	662	5	sup	sup	NOUN
ejpam-5613	662	6	(	(	PUNCT
ejpam-5613	662	7	t	t	NOUN
ejpam-5613	662	8	,	,	PUNCT
ejpam-5613	662	9	w)∈[a	w)∈[a	NOUN
ejpam-5613	662	10	,	,	PUNCT
ejpam-5613	662	11	u]×[v	u]×[v	PROPN
ejpam-5613	662	12	,	,	PUNCT
ejpam-5613	662	13	d	d	X
ejpam-5613	662	14	]	]	PUNCT
ejpam-5613	662	15	∥∥∥	∥∥∥	PROPN
ejpam-5613	662	16	∂2	∂2	NOUN
ejpam-5613	662	17	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	662	18	(	(	PUNCT
ejpam-5613	662	19	t	t	PROPN
ejpam-5613	662	20	,	,	PUNCT
ejpam-5613	662	21	w	w	NOUN
ejpam-5613	662	22	)	)	PUNCT
ejpam-5613	662	23	∥∥∥	∥∥∥	NOUN
ejpam-5613	662	24	e1×e2	e1×e2	VERB
ejpam-5613	662	25	+	+	PROPN
ejpam-5613	663	1	[	[	X
ejpam-5613	663	2	(	(	PUNCT
ejpam-5613	663	3	b−u)(v−c)]2	b−u)(v−c)]2	X
ejpam-5613	663	4	4	4	NUM
ejpam-5613	663	5	sup	sup	NOUN
ejpam-5613	663	6	(	(	PUNCT
ejpam-5613	663	7	t	t	PROPN
ejpam-5613	663	8	,	,	PUNCT
ejpam-5613	663	9	w)∈[u	w)∈[u	PROPN
ejpam-5613	663	10	,	,	PUNCT
ejpam-5613	663	11	b]×[c	b]×[c	PROPN
ejpam-5613	663	12	,	,	PUNCT
ejpam-5613	663	13	v	v	NOUN
ejpam-5613	663	14	]	]	PUNCT
ejpam-5613	663	15	∥∥∥	∥∥∥	PROPN
ejpam-5613	663	16	∂2	∂2	NOUN
ejpam-5613	663	17	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	663	18	(	(	PUNCT
ejpam-5613	663	19	t	t	PROPN
ejpam-5613	663	20	,	,	PUNCT
ejpam-5613	663	21	w	w	NOUN
ejpam-5613	663	22	)	)	PUNCT
ejpam-5613	663	23	∥∥∥	∥∥∥	NOUN
ejpam-5613	663	24	e1×e2	e1×e2	VERB
ejpam-5613	663	25	+	+	PUNCT
ejpam-5613	664	1	[	[	X
ejpam-5613	664	2	(	(	PUNCT
ejpam-5613	664	3	u−a)(v−c)]2	u−a)(v−c)]2	X
ejpam-5613	664	4	4	4	NUM
ejpam-5613	664	5	sup	sup	NOUN
ejpam-5613	664	6	(	(	PUNCT
ejpam-5613	664	7	t	t	NOUN
ejpam-5613	664	8	,	,	PUNCT
ejpam-5613	664	9	w)∈[a	w)∈[a	NOUN
ejpam-5613	664	10	,	,	PUNCT
ejpam-5613	664	11	u]×[c	u]×[c	PROPN
ejpam-5613	664	12	,	,	PUNCT
ejpam-5613	664	13	v	v	NOUN
ejpam-5613	664	14	]	]	PUNCT
ejpam-5613	664	15	∥∥∥	∥∥∥	PROPN
ejpam-5613	664	16	∂2	∂2	NOUN
ejpam-5613	664	17	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	664	18	(	(	PUNCT
ejpam-5613	664	19	t	t	PROPN
ejpam-5613	664	20	,	,	PUNCT
ejpam-5613	664	21	w	w	NOUN
ejpam-5613	664	22	)	)	PUNCT
ejpam-5613	664	23	∥∥∥	∥∥∥	NOUN
ejpam-5613	664	24	e1×e2	e1×e2	VERB
ejpam-5613	664	25	.	.	PUNCT
ejpam-5613	665	1	(	(	PUNCT
ejpam-5613	665	2	2.35	2.35	NUM
ejpam-5613	665	3	)	)	PUNCT
ejpam-5613	665	4	the	the	DET
ejpam-5613	665	5	following	follow	VERB
ejpam-5613	665	6	twoo	twoo	PROPN
ejpam-5613	665	7	results	result	NOUN
ejpam-5613	665	8	are	be	AUX
ejpam-5613	665	9	consequences	consequence	NOUN
ejpam-5613	665	10	of	of	ADP
ejpam-5613	665	11	theorem	theorem	ADJ
ejpam-5613	665	12	5	5	NUM
ejpam-5613	665	13	:	:	PUNCT
ejpam-5613	665	14	corollary	corollary	ADJ
ejpam-5613	665	15	7	7	NUM
ejpam-5613	665	16	.	.	PUNCT
ejpam-5613	665	17	with	with	ADP
ejpam-5613	665	18	the	the	DET
ejpam-5613	665	19	assumptions	assumption	NOUN
ejpam-5613	665	20	of	of	ADP
ejpam-5613	665	21	theorem	theorem	NOUN
ejpam-5613	665	22	5	5	NUM
ejpam-5613	665	23	,	,	PUNCT
ejpam-5613	665	24	we	we	PRON
ejpam-5613	665	25	get	get	VERB
ejpam-5613	665	26	the	the	DET
ejpam-5613	665	27	following	following	NOUN
ejpam-5613	665	28	inequalities:∥∥∥∥∫	inequalities:∥∥∥∥∫	ADJ
ejpam-5613	665	29	b	b	PROPN
ejpam-5613	665	30	u	u	NOUN
ejpam-5613	665	31	(	(	PUNCT
ejpam-5613	665	32	b−	b−	PROPN
ejpam-5613	665	33	u	u	NOUN
ejpam-5613	665	34	)	)	PUNCT
ejpam-5613	665	35	(	(	PUNCT
ejpam-5613	665	36	d−	d−	PROPN
ejpam-5613	665	37	v)y	v)y	SYM
ejpam-5613	665	38	(	(	PUNCT
ejpam-5613	665	39	b	b	X
ejpam-5613	665	40	,	,	PUNCT
ejpam-5613	665	41	d	d	NOUN
ejpam-5613	665	42	)	)	PUNCT
ejpam-5613	666	1	+	+	CCONJ
ejpam-5613	666	2	(	(	PUNCT
ejpam-5613	666	3	u−	u−	PROPN
ejpam-5613	666	4	a	a	NOUN
ejpam-5613	666	5	)	)	PUNCT
ejpam-5613	666	6	(	(	PUNCT
ejpam-5613	666	7	d−	d−	PROPN
ejpam-5613	666	8	v)y	v)y	X
ejpam-5613	666	9	(	(	PUNCT
ejpam-5613	666	10	a	a	DET
ejpam-5613	666	11	,	,	PUNCT
ejpam-5613	666	12	d	d	NOUN
ejpam-5613	666	13	)	)	PUNCT
ejpam-5613	666	14	+	+	CCONJ
ejpam-5613	666	15	(	(	PUNCT
ejpam-5613	666	16	b−	b−	PROPN
ejpam-5613	666	17	u	u	NOUN
ejpam-5613	666	18	)	)	PUNCT
ejpam-5613	666	19	(	(	PUNCT
ejpam-5613	666	20	v	v	NUM
ejpam-5613	666	21	−	−	NOUN
ejpam-5613	666	22	c)y	c)y	X
ejpam-5613	666	23	(	(	PUNCT
ejpam-5613	666	24	b	b	X
ejpam-5613	666	25	,	,	PUNCT
ejpam-5613	666	26	c	c	NOUN
ejpam-5613	666	27	)	)	PUNCT
ejpam-5613	667	1	+	+	CCONJ
ejpam-5613	667	2	(	(	PUNCT
ejpam-5613	667	3	u−	u−	PROPN
ejpam-5613	667	4	a	a	NOUN
ejpam-5613	667	5	)	)	PUNCT
ejpam-5613	667	6	(	(	PUNCT
ejpam-5613	667	7	v	v	NOUN
ejpam-5613	667	8	−	−	NOUN
ejpam-5613	667	9	c)y	c)y	X
ejpam-5613	667	10	(	(	PUNCT
ejpam-5613	667	11	a	a	PRON
ejpam-5613	667	12	,	,	PUNCT
ejpam-5613	667	13	c	c	NOUN
ejpam-5613	667	14	)	)	PUNCT
ejpam-5613	667	15	−	−	PROPN
ejpam-5613	668	1	(	(	PUNCT
ejpam-5613	668	2	d−	d−	PROPN
ejpam-5613	668	3	v	v	NOUN
ejpam-5613	668	4	)	)	PUNCT
ejpam-5613	668	5	∫	∫	PROPN
ejpam-5613	669	1	b	b	PROPN
ejpam-5613	669	2	a	a	DET
ejpam-5613	669	3	y	y	PROPN
ejpam-5613	669	4	(	(	PUNCT
ejpam-5613	669	5	t	t	PROPN
ejpam-5613	669	6	,	,	PUNCT
ejpam-5613	669	7	d	d	NOUN
ejpam-5613	669	8	)	)	PUNCT
ejpam-5613	669	9	dt−	dt−	NUM
ejpam-5613	669	10	(	(	PUNCT
ejpam-5613	669	11	v	v	NOUN
ejpam-5613	669	12	−	−	NOUN
ejpam-5613	669	13	c	c	NOUN
ejpam-5613	669	14	)	)	PUNCT
ejpam-5613	669	15	∫	∫	PROPN
ejpam-5613	670	1	b	b	PROPN
ejpam-5613	670	2	a	a	DET
ejpam-5613	670	3	y	y	PROPN
ejpam-5613	670	4	(	(	PUNCT
ejpam-5613	670	5	t	t	PROPN
ejpam-5613	670	6	,	,	PUNCT
ejpam-5613	670	7	c	c	NOUN
ejpam-5613	670	8	)	)	PUNCT
ejpam-5613	670	9	dt	dt	NOUN
ejpam-5613	670	10	−	−	PROPN
ejpam-5613	671	1	(	(	PUNCT
ejpam-5613	671	2	b−	b−	NOUN
ejpam-5613	671	3	u	u	NOUN
ejpam-5613	671	4	)	)	PUNCT
ejpam-5613	671	5	∫	∫	PROPN
ejpam-5613	672	1	d	d	PROPN
ejpam-5613	672	2	c	c	PROPN
ejpam-5613	672	3	y	y	PROPN
ejpam-5613	672	4	(	(	PUNCT
ejpam-5613	672	5	b	b	PROPN
ejpam-5613	672	6	,	,	PUNCT
ejpam-5613	672	7	w	w	PROPN
ejpam-5613	672	8	)	)	PUNCT
ejpam-5613	672	9	dw	dw	NOUN
ejpam-5613	672	10	−	−	PROPN
ejpam-5613	673	1	(	(	PUNCT
ejpam-5613	673	2	u−	u−	PROPN
ejpam-5613	673	3	a	a	NOUN
ejpam-5613	673	4	)	)	PUNCT
ejpam-5613	673	5	∫	∫	PROPN
ejpam-5613	674	1	d	d	PROPN
ejpam-5613	674	2	c	c	PROPN
ejpam-5613	674	3	y	y	PROPN
ejpam-5613	674	4	(	(	PUNCT
ejpam-5613	674	5	a	a	PRON
ejpam-5613	674	6	,	,	PUNCT
ejpam-5613	674	7	w	w	NOUN
ejpam-5613	674	8	)	)	PUNCT
ejpam-5613	674	9	dw	dw	NOUN
ejpam-5613	675	1	+	+	CCONJ
ejpam-5613	675	2	∫	∫	PROPN
ejpam-5613	675	3	b	b	PROPN
ejpam-5613	675	4	a	a	DET
ejpam-5613	675	5	∫	∫	PROPN
ejpam-5613	675	6	d	d	X
ejpam-5613	675	7	c	c	PROPN
ejpam-5613	675	8	y	y	PROPN
ejpam-5613	675	9	(	(	PUNCT
ejpam-5613	675	10	t	t	PROPN
ejpam-5613	675	11	,	,	PUNCT
ejpam-5613	675	12	w	w	NOUN
ejpam-5613	675	13	)	)	PUNCT
ejpam-5613	675	14	dwdt	dwdt	NOUN
ejpam-5613	675	15	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	675	16	e1×e2	e1×e2	VERB
ejpam-5613	675	17	≤	≤	ADJ
ejpam-5613	675	18	sup	sup	NOUN
ejpam-5613	675	19	(	(	PUNCT
ejpam-5613	675	20	t	t	PROPN
ejpam-5613	675	21	,	,	PUNCT
ejpam-5613	675	22	w)∈[a	w)∈[a	NOUN
ejpam-5613	675	23	,	,	PUNCT
ejpam-5613	675	24	b]×[c	b]×[c	PROPN
ejpam-5613	675	25	,	,	PUNCT
ejpam-5613	675	26	d	d	X
ejpam-5613	675	27	]	]	PUNCT
ejpam-5613	675	28	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	676	1	∂2	∂2	NUM
ejpam-5613	676	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	676	3	y	y	PROPN
ejpam-5613	676	4	(	(	PUNCT
ejpam-5613	676	5	t	t	PROPN
ejpam-5613	676	6	,	,	PUNCT
ejpam-5613	676	7	w	w	PROPN
ejpam-5613	676	8	)	)	PUNCT
ejpam-5613	676	9	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	677	1	e1×e2	e1×e2	VERB
ejpam-5613	677	2	{	{	PUNCT
ejpam-5613	677	3	1	1	NUM
ejpam-5613	677	4	2	2	NUM
ejpam-5613	677	5	(	(	PUNCT
ejpam-5613	677	6	b−	b−	NOUN
ejpam-5613	677	7	a	a	NOUN
ejpam-5613	677	8	)	)	PUNCT
ejpam-5613	678	1	+	+	CCONJ
ejpam-5613	678	2	∣∣∣∣u−	∣∣∣∣u−	INTJ
ejpam-5613	678	3	a+	a+	PUNCT
ejpam-5613	678	4	b	b	PROPN
ejpam-5613	678	5	2	2	NUM
ejpam-5613	678	6	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	678	7	}	}	PUNCT
ejpam-5613	678	8	×	×	NOUN
ejpam-5613	678	9	{	{	PUNCT
ejpam-5613	678	10	1	1	NUM
ejpam-5613	678	11	2	2	NUM
ejpam-5613	678	12	(	(	PUNCT
ejpam-5613	678	13	d−	d−	PROPN
ejpam-5613	678	14	c	c	PROPN
ejpam-5613	678	15	)	)	PUNCT
ejpam-5613	679	1	+	+	CCONJ
ejpam-5613	679	2	∣∣∣∣v	∣∣∣∣v	ADJ
ejpam-5613	679	3	−	−	NOUN
ejpam-5613	679	4	c+	c+	NOUN
ejpam-5613	679	5	d	d	NOUN
ejpam-5613	679	6	2	2	NUM
ejpam-5613	679	7	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	679	8	}	}	PUNCT
ejpam-5613	679	9	∫	∫	PROPN
ejpam-5613	679	10	b	b	PROPN
ejpam-5613	679	11	a	a	DET
ejpam-5613	679	12	∫	∫	PROPN
ejpam-5613	679	13	d	d	X
ejpam-5613	679	14	c	c	PROPN
ejpam-5613	679	15	|α(t	|α(t	PROPN
ejpam-5613	679	16	,	,	PUNCT
ejpam-5613	679	17	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	679	18	,	,	PUNCT
ejpam-5613	679	19	(	(	PUNCT
ejpam-5613	679	20	2.36	2.36	NUM
ejpam-5613	679	21	)	)	PUNCT
ejpam-5613	679	22	o.	o.	PROPN
ejpam-5613	679	23	b.	b.	PROPN
ejpam-5613	679	24	almutairi	almutairi	PROPN
ejpam-5613	679	25	,	,	PUNCT
ejpam-5613	679	26	m.	m.	NOUN
ejpam-5613	679	27	a.	a.	PROPN
ejpam-5613	679	28	latif	latif	PROPN
ejpam-5613	679	29	/	/	SYM
ejpam-5613	679	30	eur	eur	PROPN
ejpam-5613	679	31	.	.	PUNCT
ejpam-5613	680	1	j.	j.	PROPN
ejpam-5613	680	2	pure	pure	PROPN
ejpam-5613	680	3	appl	appl	PROPN
ejpam-5613	680	4	.	.	PROPN
ejpam-5613	680	5	math	math	PROPN
ejpam-5613	680	6	,	,	PUNCT
ejpam-5613	680	7	18	18	NUM
ejpam-5613	680	8	(	(	PUNCT
ejpam-5613	680	9	1	1	NUM
ejpam-5613	680	10	)	)	PUNCT
ejpam-5613	680	11	(	(	PUNCT
ejpam-5613	680	12	2025	2025	NUM
ejpam-5613	680	13	)	)	PUNCT
ejpam-5613	680	14	,	,	PUNCT
ejpam-5613	680	15	5608	5608	NUM
ejpam-5613	680	16	27	27	NUM
ejpam-5613	680	17	of	of	ADP
ejpam-5613	680	18	33	33	NUM
ejpam-5613	680	19	for	for	ADP
ejpam-5613	680	20	all	all	PRON
ejpam-5613	680	21	(	(	PUNCT
ejpam-5613	680	22	u	u	NOUN
ejpam-5613	680	23	,	,	PUNCT
ejpam-5613	680	24	v	v	NOUN
ejpam-5613	680	25	)	)	PUNCT
ejpam-5613	680	26	∈	∈	NOUN
ejpam-5613	681	1	[	[	X
ejpam-5613	681	2	a	a	X
ejpam-5613	681	3	,	,	PUNCT
ejpam-5613	681	4	b]×	b]×	NOUN
ejpam-5613	682	1	[	[	X
ejpam-5613	682	2	c	c	X
ejpam-5613	682	3	,	,	PUNCT
ejpam-5613	682	4	d	d	NOUN
ejpam-5613	682	5	]	]	X
ejpam-5613	682	6	.	.	PUNCT
ejpam-5613	683	1	corollary	corollary	ADJ
ejpam-5613	683	2	8	8	NUM
ejpam-5613	683	3	.	.	PUNCT
ejpam-5613	684	1	with	with	ADP
ejpam-5613	684	2	the	the	DET
ejpam-5613	684	3	assumptions	assumption	NOUN
ejpam-5613	684	4	of	of	ADP
ejpam-5613	684	5	theorem	theorem	NOUN
ejpam-5613	684	6	5	5	NUM
ejpam-5613	684	7	,	,	PUNCT
ejpam-5613	684	8	we	we	PRON
ejpam-5613	684	9	get	get	VERB
ejpam-5613	684	10	the	the	DET
ejpam-5613	684	11	following	following	NOUN
ejpam-5613	684	12	inequalities:∥∥∥∥∫	inequalities:∥∥∥∥∫	ADJ
ejpam-5613	684	13	b	b	PROPN
ejpam-5613	684	14	u	u	NOUN
ejpam-5613	684	15	(	(	PUNCT
ejpam-5613	684	16	b−	b−	PROPN
ejpam-5613	684	17	u	u	NOUN
ejpam-5613	684	18	)	)	PUNCT
ejpam-5613	684	19	(	(	PUNCT
ejpam-5613	684	20	d−	d−	PROPN
ejpam-5613	684	21	v)y	v)y	SYM
ejpam-5613	684	22	(	(	PUNCT
ejpam-5613	684	23	b	b	X
ejpam-5613	684	24	,	,	PUNCT
ejpam-5613	684	25	d	d	NOUN
ejpam-5613	684	26	)	)	PUNCT
ejpam-5613	684	27	+	+	CCONJ
ejpam-5613	684	28	(	(	PUNCT
ejpam-5613	684	29	u−	u−	PROPN
ejpam-5613	684	30	a	a	NOUN
ejpam-5613	684	31	)	)	PUNCT
ejpam-5613	684	32	(	(	PUNCT
ejpam-5613	684	33	d−	d−	PROPN
ejpam-5613	684	34	v)y	v)y	X
ejpam-5613	684	35	(	(	PUNCT
ejpam-5613	684	36	a	a	DET
ejpam-5613	684	37	,	,	PUNCT
ejpam-5613	684	38	d	d	NOUN
ejpam-5613	684	39	)	)	PUNCT
ejpam-5613	685	1	+	+	CCONJ
ejpam-5613	685	2	(	(	PUNCT
ejpam-5613	685	3	b−	b−	PROPN
ejpam-5613	685	4	u	u	NOUN
ejpam-5613	685	5	)	)	PUNCT
ejpam-5613	686	1	(	(	PUNCT
ejpam-5613	686	2	v	v	NUM
ejpam-5613	686	3	−	−	NOUN
ejpam-5613	686	4	c)y	c)y	X
ejpam-5613	686	5	(	(	PUNCT
ejpam-5613	686	6	b	b	X
ejpam-5613	686	7	,	,	PUNCT
ejpam-5613	686	8	c	c	NOUN
ejpam-5613	686	9	)	)	PUNCT
ejpam-5613	686	10	+	+	CCONJ
ejpam-5613	686	11	(	(	PUNCT
ejpam-5613	686	12	u−	u−	PROPN
ejpam-5613	686	13	a	a	NOUN
ejpam-5613	686	14	)	)	PUNCT
ejpam-5613	686	15	(	(	PUNCT
ejpam-5613	686	16	v	v	NOUN
ejpam-5613	686	17	−	−	NOUN
ejpam-5613	686	18	c)y	c)y	X
ejpam-5613	686	19	(	(	PUNCT
ejpam-5613	686	20	a	a	PRON
ejpam-5613	686	21	,	,	PUNCT
ejpam-5613	686	22	c	c	NOUN
ejpam-5613	686	23	)	)	PUNCT
ejpam-5613	686	24	−	−	PROPN
ejpam-5613	686	25	(	(	PUNCT
ejpam-5613	686	26	d−	d−	PROPN
ejpam-5613	686	27	v	v	NOUN
ejpam-5613	686	28	)	)	PUNCT
ejpam-5613	686	29	∫	∫	PROPN
ejpam-5613	687	1	b	b	PROPN
ejpam-5613	687	2	a	a	DET
ejpam-5613	687	3	y	y	PROPN
ejpam-5613	687	4	(	(	PUNCT
ejpam-5613	687	5	t	t	PROPN
ejpam-5613	687	6	,	,	PUNCT
ejpam-5613	687	7	d	d	NOUN
ejpam-5613	687	8	)	)	PUNCT
ejpam-5613	687	9	dt−	dt−	NUM
ejpam-5613	687	10	(	(	PUNCT
ejpam-5613	687	11	v	v	NOUN
ejpam-5613	687	12	−	−	NOUN
ejpam-5613	687	13	c	c	NOUN
ejpam-5613	687	14	)	)	PUNCT
ejpam-5613	687	15	∫	∫	PROPN
ejpam-5613	688	1	b	b	PROPN
ejpam-5613	688	2	a	a	DET
ejpam-5613	688	3	y	y	PROPN
ejpam-5613	688	4	(	(	PUNCT
ejpam-5613	688	5	t	t	PROPN
ejpam-5613	688	6	,	,	PUNCT
ejpam-5613	688	7	c	c	NOUN
ejpam-5613	688	8	)	)	PUNCT
ejpam-5613	688	9	dt	dt	NOUN
ejpam-5613	688	10	−	−	PROPN
ejpam-5613	689	1	(	(	PUNCT
ejpam-5613	689	2	b−	b−	NOUN
ejpam-5613	689	3	u	u	NOUN
ejpam-5613	689	4	)	)	PUNCT
ejpam-5613	689	5	∫	∫	PROPN
ejpam-5613	690	1	d	d	PROPN
ejpam-5613	690	2	c	c	PROPN
ejpam-5613	690	3	y	y	PROPN
ejpam-5613	690	4	(	(	PUNCT
ejpam-5613	690	5	b	b	PROPN
ejpam-5613	690	6	,	,	PUNCT
ejpam-5613	690	7	w	w	PROPN
ejpam-5613	690	8	)	)	PUNCT
ejpam-5613	690	9	dw	dw	NOUN
ejpam-5613	690	10	−	−	PROPN
ejpam-5613	691	1	(	(	PUNCT
ejpam-5613	691	2	u−	u−	PROPN
ejpam-5613	691	3	a	a	NOUN
ejpam-5613	691	4	)	)	PUNCT
ejpam-5613	691	5	∫	∫	PROPN
ejpam-5613	692	1	d	d	PROPN
ejpam-5613	692	2	c	c	PROPN
ejpam-5613	692	3	y	y	PROPN
ejpam-5613	692	4	(	(	PUNCT
ejpam-5613	692	5	a	a	PRON
ejpam-5613	692	6	,	,	PUNCT
ejpam-5613	692	7	w	w	NOUN
ejpam-5613	692	8	)	)	PUNCT
ejpam-5613	692	9	dw	dw	NOUN
ejpam-5613	693	1	+	+	CCONJ
ejpam-5613	693	2	∫	∫	PROPN
ejpam-5613	693	3	b	b	PROPN
ejpam-5613	693	4	a	a	DET
ejpam-5613	693	5	∫	∫	PROPN
ejpam-5613	693	6	d	d	X
ejpam-5613	693	7	c	c	PROPN
ejpam-5613	693	8	y	y	PROPN
ejpam-5613	693	9	(	(	PUNCT
ejpam-5613	693	10	t	t	PROPN
ejpam-5613	693	11	,	,	PUNCT
ejpam-5613	693	12	w	w	NOUN
ejpam-5613	693	13	)	)	PUNCT
ejpam-5613	693	14	dwdt	dwdt	NOUN
ejpam-5613	693	15	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	693	16	e1×e2	e1×e2	VERB
ejpam-5613	693	17	≤	≤	ADJ
ejpam-5613	693	18	sup	sup	NOUN
ejpam-5613	693	19	(	(	PUNCT
ejpam-5613	693	20	t	t	PROPN
ejpam-5613	693	21	,	,	PUNCT
ejpam-5613	693	22	w)∈[a	w)∈[a	NOUN
ejpam-5613	693	23	,	,	PUNCT
ejpam-5613	693	24	b]×[c	b]×[c	PROPN
ejpam-5613	693	25	,	,	PUNCT
ejpam-5613	693	26	d	d	X
ejpam-5613	693	27	]	]	PUNCT
ejpam-5613	693	28	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5613	694	1	∂2	∂2	NUM
ejpam-5613	694	2	∂w∂t	∂w∂t	ADJ
ejpam-5613	694	3	y	y	PROPN
ejpam-5613	694	4	(	(	PUNCT
ejpam-5613	694	5	t	t	PROPN
ejpam-5613	694	6	,	,	PUNCT
ejpam-5613	694	7	w	w	PROPN
ejpam-5613	694	8	)	)	PUNCT
ejpam-5613	694	9	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-5613	695	1	e1×e2	e1×e2	VERB
ejpam-5613	695	2	{	{	PUNCT
ejpam-5613	695	3	[	[	X
ejpam-5613	695	4	(	(	PUNCT
ejpam-5613	695	5	b−	b−	NOUN
ejpam-5613	695	6	u	u	NOUN
ejpam-5613	695	7	)	)	PUNCT
ejpam-5613	695	8	(	(	PUNCT
ejpam-5613	695	9	d−	d−	PROPN
ejpam-5613	695	10	v)]1+p	v)]1+p	X
ejpam-5613	695	11	+	+	X
ejpam-5613	696	1	[	[	X
ejpam-5613	696	2	(	(	PUNCT
ejpam-5613	696	3	u−	u−	PROPN
ejpam-5613	696	4	a	a	NOUN
ejpam-5613	696	5	)	)	PUNCT
ejpam-5613	696	6	(	(	PUNCT
ejpam-5613	696	7	d−	d−	PROPN
ejpam-5613	696	8	v)]1+p	v)]1+p	X
ejpam-5613	696	9	+	+	X
ejpam-5613	696	10	[	[	X
ejpam-5613	696	11	(	(	PUNCT
ejpam-5613	696	12	v	v	NOUN
ejpam-5613	696	13	−	−	NOUN
ejpam-5613	696	14	c	c	NOUN
ejpam-5613	696	15	)	)	PUNCT
ejpam-5613	696	16	(	(	PUNCT
ejpam-5613	696	17	d−	d−	PROPN
ejpam-5613	696	18	v)]1+p	v)]1+p	X
ejpam-5613	696	19	+	+	X
ejpam-5613	696	20	[	[	X
ejpam-5613	696	21	(	(	PUNCT
ejpam-5613	696	22	u−	u−	PROPN
ejpam-5613	696	23	a	a	NOUN
ejpam-5613	696	24	)	)	PUNCT
ejpam-5613	696	25	(	(	PUNCT
ejpam-5613	696	26	v	v	NOUN
ejpam-5613	696	27	−	−	PROPN
ejpam-5613	696	28	c)]1+p	c)]1+p	NUM
ejpam-5613	696	29	]	]	PUNCT
ejpam-5613	696	30	∫	∫	PROPN
ejpam-5613	696	31	b	b	PROPN
ejpam-5613	696	32	a	a	DET
ejpam-5613	696	33	∫	∫	PROPN
ejpam-5613	696	34	d	d	X
ejpam-5613	696	35	c	c	PROPN
ejpam-5613	696	36	|α(t	|α(t	PROPN
ejpam-5613	696	37	,	,	PUNCT
ejpam-5613	696	38	w)|dwdt	w)|dwdt	NOUN
ejpam-5613	696	39	,	,	PUNCT
ejpam-5613	696	40	(	(	PUNCT
ejpam-5613	696	41	2.37	2.37	NUM
ejpam-5613	696	42	)	)	PUNCT
ejpam-5613	696	43	for	for	ADP
ejpam-5613	696	44	all	all	DET
ejpam-5613	696	45	(	(	PUNCT
ejpam-5613	696	46	u	u	NOUN
ejpam-5613	696	47	,	,	PUNCT
ejpam-5613	696	48	v	v	NOUN
ejpam-5613	696	49	)	)	PUNCT
ejpam-5613	696	50	∈	∈	NOUN
ejpam-5613	697	1	[	[	X
ejpam-5613	697	2	a	a	X
ejpam-5613	697	3	,	,	PUNCT
ejpam-5613	697	4	b]×	b]×	NOUN
ejpam-5613	697	5	[	[	X
ejpam-5613	697	6	c	c	X
ejpam-5613	697	7	,	,	PUNCT
ejpam-5613	697	8	d	d	NOUN
ejpam-5613	697	9	]	]	X
ejpam-5613	697	10	.	.	PUNCT
ejpam-5613	698	1	theorem	theorem	ADJ
ejpam-5613	698	2	6	6	NUM
ejpam-5613	698	3	.	.	PUNCT
ejpam-5613	698	4	assume	assume	VERB
ejpam-5613	698	5	that	that	SCONJ
ejpam-5613	698	6	α	α	PRON
ejpam-5613	698	7	:	:	PUNCT
ejpam-5613	699	1	[	[	X
ejpam-5613	699	2	a	a	X
ejpam-5613	699	3	,	,	PUNCT
ejpam-5613	699	4	b	b	NOUN
ejpam-5613	699	5	]	]	X
ejpam-5613	699	6	×	×	NOUN
ejpam-5613	699	7	[	[	X
ejpam-5613	699	8	c	c	X
ejpam-5613	699	9	,	,	PUNCT
ejpam-5613	699	10	d	d	X
ejpam-5613	699	11	]	]	X
ejpam-5613	699	12	→	→	SYM
ejpam-5613	699	13	c	c	X
ejpam-5613	699	14	,	,	PUNCT
ejpam-5613	699	15	y	y	NOUN
ejpam-5613	699	16	:	:	PUNCT
ejpam-5613	700	1	[	[	X
ejpam-5613	700	2	a	a	X
ejpam-5613	700	3	,	,	PUNCT
ejpam-5613	700	4	b	b	NOUN
ejpam-5613	700	5	]	]	X
ejpam-5613	700	6	×	×	NOUN
ejpam-5613	700	7	[	[	X
ejpam-5613	700	8	c	c	X
ejpam-5613	700	9	,	,	PUNCT
ejpam-5613	700	10	d	d	X
ejpam-5613	700	11	]	]	X
ejpam-5613	700	12	→	→	PUNCT
ejpam-5613	700	13	e1	e1	PROPN
ejpam-5613	700	14	×	×	PROPN
ejpam-5613	700	15	e2	e2	NOUN
ejpam-5613	700	16	are	be	AUX
ejpam-5613	700	17	continuous	continuous	ADJ
ejpam-5613	700	18	.	.	PUNCT
ejpam-5613	701	1	if	if	SCONJ
ejpam-5613	701	2	∂α	∂α	PROPN
ejpam-5613	701	3	∂t	∂t	PROPN
ejpam-5613	701	4	,	,	PUNCT
ejpam-5613	701	5	∂α	∂α	PROPN
ejpam-5613	701	6	∂t	∂t	PROPN
ejpam-5613	701	7	,	,	PUNCT
ejpam-5613	701	8	∂2α	∂2α	NOUN
ejpam-5613	701	9	∂t∂w	∂t∂w	NOUN
ejpam-5613	701	10	exist	exist	VERB
ejpam-5613	701	11	on	on	ADP
ejpam-5613	701	12	(	(	PUNCT
ejpam-5613	701	13	a	a	PRON
ejpam-5613	701	14	,	,	PUNCT
ejpam-5613	701	15	b	b	NOUN
ejpam-5613	701	16	)	)	PUNCT
ejpam-5613	701	17	×	×	NOUN
ejpam-5613	701	18	(	(	PUNCT
ejpam-5613	701	19	c	c	X
ejpam-5613	701	20	,	,	PUNCT
ejpam-5613	701	21	d	d	NOUN
ejpam-5613	701	22	)	)	PUNCT
ejpam-5613	701	23	and	and	CCONJ
ejpam-5613	701	24	are	be	AUX
ejpam-5613	701	25	continuous	continuous	ADJ
ejpam-5613	701	26	,	,	PUNCT
ejpam-5613	701	27	then	then	ADV
ejpam-5613	701	28	we	we	PRON
ejpam-5613	701	29	get	get	VERB
ejpam-5613	701	30	the	the	DET
ejpam-5613	701	31	following	follow	VERB
ejpam-5613	701	32	inequalities	inequality	NOUN
ejpam-5613	701	33	for	for	ADP
ejpam-5613	701	34	all	all	DET
ejpam-5613	701	35	(	(	PUNCT
ejpam-5613	701	36	u	u	NOUN
ejpam-5613	701	37	,	,	PUNCT
ejpam-5613	701	38	v	v	NOUN
ejpam-5613	701	39	)	)	PUNCT
ejpam-5613	701	40	∈	∈	NOUN
ejpam-5613	702	1	[	[	X
ejpam-5613	702	2	a	a	X
ejpam-5613	702	3	,	,	PUNCT
ejpam-5613	702	4	b]×	b]×	NOUN
ejpam-5613	703	1	[	[	X
ejpam-5613	703	2	c	c	X
ejpam-5613	703	3	,	,	PUNCT
ejpam-5613	703	4	d	d	X
ejpam-5613	703	5	]	]	X
ejpam-5613	703	6	for	for	ADP
ejpam-5613	703	7	p	p	NOUN
ejpam-5613	703	8	,	,	PUNCT
ejpam-5613	703	9	q	q	ADJ
ejpam-5613	703	10	>	>	X
ejpam-5613	703	11	1	1	NUM
ejpam-5613	703	12	and	and	CCONJ
ejpam-5613	703	13	1	1	NUM
ejpam-5613	703	14	p	p	NOUN
ejpam-5613	704	1	+	+	NOUN
ejpam-5613	704	2	1	1	NUM
ejpam-5613	704	3	q	q	NOUN
ejpam-5613	704	4	=	=	NOUN
ejpam-5613	704	5	1	1	NUM
ejpam-5613	704	6	:	:	PUNCT
ejpam-5613	704	7	∥∥∥∥(∫	∥∥∥∥(∫	PROPN
ejpam-5613	704	8	b	b	SYM
ejpam-5613	704	9	u	u	NOUN
ejpam-5613	704	10	∫	∫	PROPN
ejpam-5613	704	11	d	d	X
ejpam-5613	704	12	v	v	ADP
ejpam-5613	704	13	α	α	PROPN
ejpam-5613	704	14	(	(	PUNCT
ejpam-5613	704	15	s	s	X
ejpam-5613	704	16	,	,	PUNCT
ejpam-5613	704	17	r	r	NOUN
ejpam-5613	704	18	)	)	PUNCT
ejpam-5613	704	19	drds	drd	NOUN
ejpam-5613	704	20	)	)	PUNCT
ejpam-5613	705	1	y	y	PROPN
ejpam-5613	705	2	(	(	PUNCT
ejpam-5613	705	3	b	b	NOUN
ejpam-5613	705	4	,	,	PUNCT
ejpam-5613	705	5	d	d	NOUN
ejpam-5613	705	6	)	)	PUNCT
ejpam-5613	706	1	+	+	CCONJ
ejpam-5613	706	2	(	(	PUNCT
ejpam-5613	706	3	∫	∫	PROPN
ejpam-5613	706	4	u	u	PROPN
ejpam-5613	706	5	a	a	DET
ejpam-5613	706	6	∫	∫	PROPN
ejpam-5613	706	7	d	d	X
ejpam-5613	706	8	v	v	ADP
ejpam-5613	706	9	α	α	PROPN
ejpam-5613	706	10	(	(	PUNCT
ejpam-5613	706	11	s	s	X
ejpam-5613	706	12	,	,	PUNCT
ejpam-5613	706	13	r	r	NOUN
ejpam-5613	706	14	)	)	PUNCT
ejpam-5613	706	15	drds	drd	NOUN
ejpam-5613	706	16	)	)	PUNCT
ejpam-5613	706	17	y	y	PROPN
ejpam-5613	706	18	(	(	PUNCT
ejpam-5613	706	19	a	a	DET
ejpam-5613	706	20	,	,	PUNCT
ejpam-5613	706	21	d	d	NOUN
ejpam-5613	706	22	)	)	PUNCT
ejpam-5613	707	1	+	+	CCONJ
ejpam-5613	707	2	(	(	PUNCT
ejpam-5613	707	3	∫	∫	PROPN
ejpam-5613	707	4	b	b	SYM
ejpam-5613	707	5	u	u	PROPN
ejpam-5613	707	6	∫	∫	PROPN
ejpam-5613	707	7	v	v	X
ejpam-5613	707	8	c	c	PROPN
ejpam-5613	707	9	α	α	PROPN
ejpam-5613	707	10	(	(	PUNCT
ejpam-5613	707	11	s	s	X
ejpam-5613	707	12	,	,	PUNCT
ejpam-5613	707	13	r	r	NOUN
ejpam-5613	707	14	)	)	PUNCT
ejpam-5613	707	15	drds	drd	NOUN
ejpam-5613	707	16	)	)	PUNCT
ejpam-5613	707	17	y	y	PROPN
ejpam-5613	707	18	(	(	PUNCT
ejpam-5613	707	19	b	b	NOUN
ejpam-5613	707	20	,	,	PUNCT
ejpam-5613	707	21	c	c	NOUN
ejpam-5613	707	22	)	)	PUNCT
ejpam-5613	708	1	+	+	CCONJ
ejpam-5613	708	2	(	(	PUNCT
ejpam-5613	708	3	∫	∫	PROPN
ejpam-5613	708	4	u	u	PROPN
ejpam-5613	708	5	a	a	DET
ejpam-5613	708	6	∫	∫	PROPN
ejpam-5613	708	7	v	v	NOUN
ejpam-5613	708	8	c	c	NOUN
ejpam-5613	708	9	α	α	PROPN
ejpam-5613	708	10	(	(	PUNCT
ejpam-5613	708	11	s	s	X
ejpam-5613	708	12	,	,	PUNCT
ejpam-5613	708	13	r	r	NOUN
ejpam-5613	708	14	)	)	PUNCT
ejpam-5613	708	15	drds	drd	NOUN
ejpam-5613	708	16	)	)	PUNCT
ejpam-5613	708	17	y	y	PROPN
ejpam-5613	708	18	(	(	PUNCT
ejpam-5613	708	19	a	a	PRON
ejpam-5613	708	20	,	,	PUNCT
ejpam-5613	708	21	c	c	NOUN
ejpam-5613	708	22	)	)	PUNCT
ejpam-5613	709	1	−	−	NOUN
ejpam-5613	709	2	∫	∫	PROPN
ejpam-5613	710	1	b	b	PROPN
ejpam-5613	711	1	a	a	PRON
ejpam-5613	712	1	α	α	PROPN
ejpam-5613	713	1	(	(	PUNCT
ejpam-5613	714	1	t	t	PROPN
ejpam-5613	714	2	,	,	PUNCT
ejpam-5613	714	3	d	d	NOUN
ejpam-5613	714	4	)	)	PUNCT
ejpam-5613	714	5	(	(	PUNCT
ejpam-5613	714	6	∫	∫	PROPN
ejpam-5613	714	7	d	d	X
ejpam-5613	714	8	v	v	PROPN
ejpam-5613	714	9	y	y	PROPN
ejpam-5613	714	10	(	(	PUNCT
ejpam-5613	714	11	t	t	PROPN
ejpam-5613	714	12	,	,	PUNCT
ejpam-5613	714	13	r	r	NOUN
ejpam-5613	714	14	)	)	PUNCT
ejpam-5613	714	15	dr	dr	PROPN
ejpam-5613	714	16	)	)	PUNCT
ejpam-5613	714	17	dt−	dt−	PROPN
ejpam-5613	714	18	∫	∫	PROPN
ejpam-5613	715	1	b	b	PROPN
ejpam-5613	715	2	a	a	DET
ejpam-5613	715	3	α	α	PROPN
ejpam-5613	715	4	(	(	PUNCT
ejpam-5613	715	5	t	t	PROPN
ejpam-5613	715	6	,	,	PUNCT
ejpam-5613	715	7	c	c	NOUN
ejpam-5613	715	8	)	)	PUNCT
ejpam-5613	715	9	(	(	PUNCT
ejpam-5613	715	10	∫	∫	PROPN
ejpam-5613	715	11	v	v	X
ejpam-5613	715	12	c	c	PROPN
ejpam-5613	715	13	y	y	PROPN
ejpam-5613	715	14	(	(	PUNCT
ejpam-5613	715	15	t	t	PROPN
ejpam-5613	715	16	,	,	PUNCT
ejpam-5613	715	17	r	r	NOUN
ejpam-5613	715	18	)	)	PUNCT
ejpam-5613	715	19	dr	dr	PROPN
ejpam-5613	715	20	)	)	PUNCT
ejpam-5613	715	21	dt	dt	PROPN
ejpam-5613	716	1	−	−	PROPN
ejpam-5613	716	2	∫	∫	PROPN
ejpam-5613	717	1	d	d	X
ejpam-5613	717	2	c	c	PROPN
ejpam-5613	717	3	α	α	PROPN
ejpam-5613	717	4	(	(	PUNCT
ejpam-5613	717	5	b	b	NOUN
ejpam-5613	717	6	,	,	PUNCT
ejpam-5613	717	7	w	w	NOUN
ejpam-5613	717	8	)	)	PUNCT
ejpam-5613	717	9	(	(	PUNCT
ejpam-5613	717	10	∫	∫	PROPN
ejpam-5613	717	11	b	b	PROPN
ejpam-5613	717	12	u	u	X
ejpam-5613	717	13	y	y	PROPN
ejpam-5613	717	14	(	(	PUNCT
ejpam-5613	717	15	s	s	PROPN
ejpam-5613	717	16	,	,	PUNCT
ejpam-5613	717	17	w	w	NOUN
ejpam-5613	717	18	)	)	PUNCT
ejpam-5613	717	19	ds	ds	ADJ
ejpam-5613	717	20	)	)	PUNCT
ejpam-5613	717	21	dw	dw	NOUN
ejpam-5613	718	1	−	−	PROPN
ejpam-5613	718	2	∫	∫	PROPN
ejpam-5613	719	1	d	d	X
ejpam-5613	719	2	c	c	PROPN
ejpam-5613	719	3	α	α	PROPN
ejpam-5613	719	4	(	(	PUNCT
ejpam-5613	719	5	a	a	DET
ejpam-5613	719	6	,	,	PUNCT
ejpam-5613	719	7	w	w	NOUN
ejpam-5613	719	8	)	)	PUNCT
ejpam-5613	719	9	(	(	PUNCT
ejpam-5613	719	10	∫	∫	PROPN
ejpam-5613	719	11	u	u	PROPN
ejpam-5613	719	12	a	a	DET
ejpam-5613	719	13	y	y	PROPN
ejpam-5613	719	14	(	(	PUNCT
ejpam-5613	719	15	s	s	PROPN
ejpam-5613	719	16	,	,	PUNCT
ejpam-5613	719	17	w	w	NOUN
ejpam-5613	719	18	)	)	PUNCT
ejpam-5613	719	19	ds	ds	ADJ
ejpam-5613	719	20	)	)	PUNCT
ejpam-5613	719	21	dw	dw	PROPN
ejpam-5613	720	1	+	+	CCONJ
ejpam-5613	720	2	∫	∫	PROPN
ejpam-5613	720	3	b	b	PROPN
ejpam-5613	720	4	a	a	DET
ejpam-5613	720	5	∫	∫	PROPN
ejpam-5613	720	6	d	d	X
ejpam-5613	720	7	c	c	PROPN
ejpam-5613	720	8	α	α	PROPN
ejpam-5613	720	9	(	(	PUNCT
ejpam-5613	720	10	t	t	PROPN
ejpam-5613	720	11	,	,	PUNCT
ejpam-5613	720	12	w)y	w)y	X
ejpam-5613	720	13	(	(	PUNCT
ejpam-5613	720	14	t	t	PROPN
ejpam-5613	720	15	,	,	PUNCT
ejpam-5613	720	16	w	w	NOUN
ejpam-5613	720	17	)	)	PUNCT
ejpam-5613	720	18	dwdt	dwdt	NOUN
ejpam-5613	720	19	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	720	20	e1×e2	e1×e2	VERB
ejpam-5613	720	21	≤	≤	NUM
ejpam-5613	720	22	c̃	c̃	PROPN
ejpam-5613	720	23	(	(	PUNCT
ejpam-5613	720	24	α	α	PROPN
ejpam-5613	720	25	,	,	PUNCT
ejpam-5613	720	26	y	y	PROPN
ejpam-5613	720	27	,	,	PUNCT
ejpam-5613	720	28	u	u	NOUN
ejpam-5613	720	29	,	,	PUNCT
ejpam-5613	720	30	v	v	NOUN
ejpam-5613	720	31	)	)	PUNCT
ejpam-5613	720	32	,	,	PUNCT
ejpam-5613	720	33	(	(	PUNCT
ejpam-5613	720	34	2.38	2.38	NUM
ejpam-5613	720	35	)	)	PUNCT
ejpam-5613	720	36	where∥∥∥∥α	where∥∥∥∥α	PROPN
ejpam-5613	720	37	(	(	PUNCT
ejpam-5613	720	38	b	b	NOUN
ejpam-5613	720	39	,	,	PUNCT
ejpam-5613	720	40	d	d	NOUN
ejpam-5613	720	41	)	)	PUNCT
ejpam-5613	721	1	(	(	PUNCT
ejpam-5613	721	2	∫	∫	PROPN
ejpam-5613	721	3	b	b	X
ejpam-5613	721	4	u	u	PROPN
ejpam-5613	721	5	∫	∫	PROPN
ejpam-5613	721	6	d	d	X
ejpam-5613	721	7	v	v	PROPN
ejpam-5613	721	8	y	y	PROPN
ejpam-5613	721	9	(	(	PUNCT
ejpam-5613	721	10	s	s	X
ejpam-5613	721	11	,	,	PUNCT
ejpam-5613	721	12	r	r	NOUN
ejpam-5613	721	13	)	)	PUNCT
ejpam-5613	721	14	drds	drd	NOUN
ejpam-5613	721	15	)	)	PUNCT
ejpam-5613	722	1	+	+	CCONJ
ejpam-5613	722	2	α	α	X
ejpam-5613	722	3	(	(	PUNCT
ejpam-5613	722	4	a	a	DET
ejpam-5613	722	5	,	,	PUNCT
ejpam-5613	722	6	d	d	NOUN
ejpam-5613	722	7	)	)	PUNCT
ejpam-5613	722	8	(	(	PUNCT
ejpam-5613	722	9	∫	∫	PROPN
ejpam-5613	722	10	u	u	PROPN
ejpam-5613	722	11	a	a	DET
ejpam-5613	722	12	∫	∫	PROPN
ejpam-5613	722	13	d	d	X
ejpam-5613	722	14	v	v	PROPN
ejpam-5613	722	15	y	y	PROPN
ejpam-5613	722	16	(	(	PUNCT
ejpam-5613	722	17	s	s	X
ejpam-5613	722	18	,	,	PUNCT
ejpam-5613	722	19	r	r	NOUN
ejpam-5613	722	20	)	)	PUNCT
ejpam-5613	722	21	drds	drd	NOUN
ejpam-5613	722	22	)	)	PUNCT
ejpam-5613	723	1	+	+	CCONJ
ejpam-5613	723	2	α	α	PROPN
ejpam-5613	723	3	(	(	PUNCT
ejpam-5613	723	4	b	b	NOUN
ejpam-5613	723	5	,	,	PUNCT
ejpam-5613	723	6	c	c	NOUN
ejpam-5613	723	7	)	)	PUNCT
ejpam-5613	723	8	(	(	PUNCT
ejpam-5613	723	9	∫	∫	PROPN
ejpam-5613	723	10	b	b	SYM
ejpam-5613	723	11	u	u	PROPN
ejpam-5613	723	12	∫	∫	PROPN
ejpam-5613	723	13	v	v	X
ejpam-5613	723	14	c	c	PROPN
ejpam-5613	723	15	y	y	PROPN
ejpam-5613	723	16	(	(	PUNCT
ejpam-5613	723	17	s	s	X
ejpam-5613	723	18	,	,	PUNCT
ejpam-5613	723	19	r	r	NOUN
ejpam-5613	723	20	)	)	PUNCT
ejpam-5613	723	21	drds	drd	NOUN
ejpam-5613	723	22	)	)	PUNCT
ejpam-5613	724	1	+	+	CCONJ
ejpam-5613	724	2	α	α	X
ejpam-5613	724	3	(	(	PUNCT
ejpam-5613	724	4	a	a	PRON
ejpam-5613	724	5	,	,	PUNCT
ejpam-5613	724	6	c	c	NOUN
ejpam-5613	724	7	)	)	PUNCT
ejpam-5613	724	8	(	(	PUNCT
ejpam-5613	724	9	∫	∫	PROPN
ejpam-5613	724	10	u	u	PROPN
ejpam-5613	724	11	a	a	DET
ejpam-5613	724	12	∫	∫	PROPN
ejpam-5613	724	13	v	v	ADP
ejpam-5613	724	14	c	c	PROPN
ejpam-5613	724	15	y	y	PROPN
ejpam-5613	724	16	(	(	PUNCT
ejpam-5613	724	17	s	s	X
ejpam-5613	724	18	,	,	PUNCT
ejpam-5613	724	19	r	r	NOUN
ejpam-5613	724	20	)	)	PUNCT
ejpam-5613	724	21	drds	drd	NOUN
ejpam-5613	724	22	)	)	PUNCT
ejpam-5613	724	23	o.	o.	PROPN
ejpam-5613	724	24	b.	b.	PROPN
ejpam-5613	724	25	almutairi	almutairi	PROPN
ejpam-5613	724	26	,	,	PUNCT
ejpam-5613	724	27	m.	m.	NOUN
ejpam-5613	724	28	a.	a.	PROPN
ejpam-5613	724	29	latif	latif	PROPN
ejpam-5613	724	30	/	/	SYM
ejpam-5613	724	31	eur	eur	PROPN
ejpam-5613	724	32	.	.	PUNCT
ejpam-5613	725	1	j.	j.	PROPN
ejpam-5613	725	2	pure	pure	PROPN
ejpam-5613	725	3	appl	appl	PROPN
ejpam-5613	725	4	.	.	PROPN
ejpam-5613	725	5	math	math	PROPN
ejpam-5613	725	6	,	,	PUNCT
ejpam-5613	725	7	18	18	NUM
ejpam-5613	725	8	(	(	PUNCT
ejpam-5613	725	9	1	1	NUM
ejpam-5613	725	10	)	)	PUNCT
ejpam-5613	725	11	(	(	PUNCT
ejpam-5613	725	12	2025	2025	NUM
ejpam-5613	725	13	)	)	PUNCT
ejpam-5613	725	14	,	,	PUNCT
ejpam-5613	725	15	5608	5608	NUM
ejpam-5613	725	16	28	28	NUM
ejpam-5613	725	17	of	of	ADP
ejpam-5613	725	18	33	33	NUM
ejpam-5613	725	19	−	−	NOUN
ejpam-5613	725	20	∫	∫	PROPN
ejpam-5613	726	1	b	b	PROPN
ejpam-5613	726	2	a	a	DET
ejpam-5613	726	3	α	α	PROPN
ejpam-5613	726	4	(	(	PUNCT
ejpam-5613	726	5	t	t	PROPN
ejpam-5613	726	6	,	,	PUNCT
ejpam-5613	726	7	d	d	NOUN
ejpam-5613	726	8	)	)	PUNCT
ejpam-5613	726	9	(	(	PUNCT
ejpam-5613	726	10	∫	∫	PROPN
ejpam-5613	726	11	d	d	X
ejpam-5613	726	12	v	v	PROPN
ejpam-5613	726	13	y	y	PROPN
ejpam-5613	726	14	(	(	PUNCT
ejpam-5613	726	15	t	t	PROPN
ejpam-5613	726	16	,	,	PUNCT
ejpam-5613	726	17	r	r	NOUN
ejpam-5613	726	18	)	)	PUNCT
ejpam-5613	726	19	dr	dr	PROPN
ejpam-5613	726	20	)	)	PUNCT
ejpam-5613	726	21	dt−	dt−	PROPN
ejpam-5613	726	22	∫	∫	PROPN
ejpam-5613	727	1	b	b	PROPN
ejpam-5613	727	2	a	a	DET
ejpam-5613	727	3	α	α	PROPN
ejpam-5613	727	4	(	(	PUNCT
ejpam-5613	727	5	t	t	PROPN
ejpam-5613	727	6	,	,	PUNCT
ejpam-5613	727	7	c	c	NOUN
ejpam-5613	727	8	)	)	PUNCT
ejpam-5613	727	9	(	(	PUNCT
ejpam-5613	727	10	∫	∫	PROPN
ejpam-5613	727	11	v	v	X
ejpam-5613	727	12	c	c	PROPN
ejpam-5613	727	13	y	y	PROPN
ejpam-5613	727	14	(	(	PUNCT
ejpam-5613	727	15	t	t	PROPN
ejpam-5613	727	16	,	,	PUNCT
ejpam-5613	727	17	r	r	NOUN
ejpam-5613	727	18	)	)	PUNCT
ejpam-5613	727	19	dr	dr	PROPN
ejpam-5613	727	20	)	)	PUNCT
ejpam-5613	727	21	dt	dt	PROPN
ejpam-5613	728	1	−	−	PROPN
ejpam-5613	728	2	∫	∫	PROPN
ejpam-5613	729	1	d	d	X
ejpam-5613	729	2	c	c	PROPN
ejpam-5613	729	3	α	α	PROPN
ejpam-5613	729	4	(	(	PUNCT
ejpam-5613	729	5	b	b	NOUN
ejpam-5613	729	6	,	,	PUNCT
ejpam-5613	729	7	w	w	NOUN
ejpam-5613	729	8	)	)	PUNCT
ejpam-5613	729	9	(	(	PUNCT
ejpam-5613	729	10	∫	∫	PROPN
ejpam-5613	729	11	b	b	PROPN
ejpam-5613	729	12	u	u	X
ejpam-5613	729	13	y	y	PROPN
ejpam-5613	729	14	(	(	PUNCT
ejpam-5613	729	15	s	s	PROPN
ejpam-5613	729	16	,	,	PUNCT
ejpam-5613	729	17	w	w	NOUN
ejpam-5613	729	18	)	)	PUNCT
ejpam-5613	729	19	ds	ds	ADJ
ejpam-5613	729	20	)	)	PUNCT
ejpam-5613	729	21	dw	dw	NOUN
ejpam-5613	730	1	−	−	PROPN
ejpam-5613	730	2	∫	∫	PROPN
ejpam-5613	731	1	d	d	X
ejpam-5613	731	2	c	c	PROPN
ejpam-5613	731	3	α	α	PROPN
ejpam-5613	731	4	(	(	PUNCT
ejpam-5613	731	5	a	a	DET
ejpam-5613	731	6	,	,	PUNCT
ejpam-5613	731	7	w	w	NOUN
ejpam-5613	731	8	)	)	PUNCT
ejpam-5613	731	9	(	(	PUNCT
ejpam-5613	731	10	∫	∫	PROPN
ejpam-5613	731	11	u	u	PROPN
ejpam-5613	731	12	a	a	DET
ejpam-5613	731	13	y	y	PROPN
ejpam-5613	731	14	(	(	PUNCT
ejpam-5613	731	15	s	s	PROPN
ejpam-5613	731	16	,	,	PUNCT
ejpam-5613	731	17	w	w	NOUN
ejpam-5613	731	18	)	)	PUNCT
ejpam-5613	731	19	ds	ds	ADJ
ejpam-5613	731	20	)	)	PUNCT
ejpam-5613	731	21	dw	dw	PROPN
ejpam-5613	732	1	+	+	CCONJ
ejpam-5613	732	2	∫	∫	PROPN
ejpam-5613	733	1	b	b	PROPN
ejpam-5613	733	2	a	a	DET
ejpam-5613	733	3	∫	∫	PROPN
ejpam-5613	733	4	d	d	X
ejpam-5613	733	5	c	c	PROPN
ejpam-5613	733	6	α	α	PROPN
ejpam-5613	733	7	(	(	PUNCT
ejpam-5613	733	8	t	t	PROPN
ejpam-5613	733	9	,	,	PUNCT
ejpam-5613	733	10	w)y	w)y	X
ejpam-5613	733	11	(	(	PUNCT
ejpam-5613	733	12	t	t	PROPN
ejpam-5613	733	13	,	,	PUNCT
ejpam-5613	733	14	w	w	NOUN
ejpam-5613	733	15	)	)	PUNCT
ejpam-5613	733	16	dwdt	dwdt	NOUN
ejpam-5613	733	17	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	733	18	e1×e2	e1×e2	VERB
ejpam-5613	733	19	≤	≤	NUM
ejpam-5613	733	20	∫	∫	PROPN
ejpam-5613	733	21	b	b	SYM
ejpam-5613	733	22	u	u	PROPN
ejpam-5613	733	23	∫	∫	PROPN
ejpam-5613	733	24	d	d	NOUN
ejpam-5613	733	25	v	v	ADP
ejpam-5613	733	26	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	733	27	∂2	∂2	NOUN
ejpam-5613	733	28	∂w∂t	∂w∂t	NOUN
ejpam-5613	733	29	α	α	PROPN
ejpam-5613	733	30	(	(	PUNCT
ejpam-5613	733	31	t	t	PROPN
ejpam-5613	733	32	,	,	PUNCT
ejpam-5613	733	33	w	w	NOUN
ejpam-5613	733	34	)	)	PUNCT
ejpam-5613	733	35	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	733	36	(	(	PUNCT
ejpam-5613	733	37	∫	∫	PROPN
ejpam-5613	733	38	t	t	PROPN
ejpam-5613	733	39	u	u	X
ejpam-5613	733	40	∫	∫	PROPN
ejpam-5613	733	41	w	w	PROPN
ejpam-5613	733	42	v	v	ADP
ejpam-5613	733	43	∥y	∥y	PROPN
ejpam-5613	733	44	(	(	PUNCT
ejpam-5613	733	45	s	s	X
ejpam-5613	733	46	,	,	PUNCT
ejpam-5613	733	47	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	733	48	drds	drd	NOUN
ejpam-5613	733	49	)	)	PUNCT
ejpam-5613	733	50	dwdt	dwdt	NOUN
ejpam-5613	733	51	+	+	CCONJ
ejpam-5613	733	52	∫	∫	PROPN
ejpam-5613	733	53	u	u	PROPN
ejpam-5613	733	54	a	a	DET
ejpam-5613	733	55	∫	∫	PROPN
ejpam-5613	733	56	d	d	X
ejpam-5613	733	57	v	v	NOUN
ejpam-5613	733	58	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	733	59	∂2	∂2	NOUN
ejpam-5613	733	60	∂w∂t	∂w∂t	NOUN
ejpam-5613	733	61	α	α	PROPN
ejpam-5613	733	62	(	(	PUNCT
ejpam-5613	733	63	t	t	PROPN
ejpam-5613	733	64	,	,	PUNCT
ejpam-5613	733	65	w	w	NOUN
ejpam-5613	733	66	)	)	PUNCT
ejpam-5613	733	67	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	733	68	(	(	PUNCT
ejpam-5613	733	69	∫	∫	PROPN
ejpam-5613	733	70	u	u	X
ejpam-5613	733	71	t	t	PROPN
ejpam-5613	733	72	∫	∫	PROPN
ejpam-5613	733	73	w	w	PROPN
ejpam-5613	733	74	v	v	ADP
ejpam-5613	733	75	∥y	∥y	PROPN
ejpam-5613	733	76	(	(	PUNCT
ejpam-5613	733	77	s	s	X
ejpam-5613	733	78	,	,	PUNCT
ejpam-5613	733	79	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	733	80	drds	drd	NOUN
ejpam-5613	733	81	)	)	PUNCT
ejpam-5613	733	82	dwdt	dwdt	NOUN
ejpam-5613	733	83	+	+	CCONJ
ejpam-5613	733	84	∫	∫	PROPN
ejpam-5613	733	85	b	b	X
ejpam-5613	733	86	u	u	PROPN
ejpam-5613	733	87	∫	∫	PROPN
ejpam-5613	733	88	v	v	NOUN
ejpam-5613	733	89	c	c	PROPN
ejpam-5613	733	90	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	733	91	∂2	∂2	NOUN
ejpam-5613	733	92	∂w∂t	∂w∂t	INTJ
ejpam-5613	733	93	α	α	PROPN
ejpam-5613	733	94	(	(	PUNCT
ejpam-5613	733	95	t	t	PROPN
ejpam-5613	733	96	,	,	PUNCT
ejpam-5613	733	97	w	w	NOUN
ejpam-5613	733	98	)	)	PUNCT
ejpam-5613	733	99	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	733	100	(	(	PUNCT
ejpam-5613	733	101	∫	∫	PROPN
ejpam-5613	733	102	t	t	PROPN
ejpam-5613	733	103	u	u	X
ejpam-5613	733	104	∫	∫	PROPN
ejpam-5613	733	105	v	v	NOUN
ejpam-5613	733	106	w	w	PROPN
ejpam-5613	733	107	∥y	∥y	PROPN
ejpam-5613	733	108	(	(	PUNCT
ejpam-5613	733	109	s	s	X
ejpam-5613	733	110	,	,	PUNCT
ejpam-5613	733	111	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	733	112	drds	drd	NOUN
ejpam-5613	733	113	)	)	PUNCT
ejpam-5613	733	114	dwdt	dwdt	NOUN
ejpam-5613	733	115	+	+	CCONJ
ejpam-5613	733	116	∫	∫	PROPN
ejpam-5613	733	117	u	u	PROPN
ejpam-5613	733	118	a	a	DET
ejpam-5613	733	119	∫	∫	PROPN
ejpam-5613	733	120	v	v	NOUN
ejpam-5613	733	121	c	c	PROPN
ejpam-5613	733	122	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	733	123	∂2	∂2	NOUN
ejpam-5613	733	124	∂w∂t	∂w∂t	INTJ
ejpam-5613	733	125	α	α	PROPN
ejpam-5613	733	126	(	(	PUNCT
ejpam-5613	733	127	t	t	PROPN
ejpam-5613	733	128	,	,	PUNCT
ejpam-5613	733	129	w	w	NOUN
ejpam-5613	733	130	)	)	PUNCT
ejpam-5613	733	131	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	733	132	(	(	PUNCT
ejpam-5613	733	133	∫	∫	PROPN
ejpam-5613	733	134	u	u	X
ejpam-5613	733	135	t	t	PROPN
ejpam-5613	733	136	∫	∫	PROPN
ejpam-5613	733	137	v	v	NOUN
ejpam-5613	733	138	w	w	PROPN
ejpam-5613	733	139	∥y	∥y	PROPN
ejpam-5613	733	140	(	(	PUNCT
ejpam-5613	733	141	s	s	X
ejpam-5613	733	142	,	,	PUNCT
ejpam-5613	733	143	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	733	144	drds	drd	NOUN
ejpam-5613	733	145	)	)	PUNCT
ejpam-5613	733	146	dwdt	dwdt	NOUN
ejpam-5613	733	147	:	:	PUNCT
ejpam-5613	734	1	=	=	SYM
ejpam-5613	734	2	c̃	c̃	PROPN
ejpam-5613	734	3	(	(	PUNCT
ejpam-5613	734	4	α	α	NOUN
ejpam-5613	734	5	,	,	PUNCT
ejpam-5613	734	6	y	y	PROPN
ejpam-5613	734	7	,	,	PUNCT
ejpam-5613	734	8	u	u	NOUN
ejpam-5613	734	9	,	,	PUNCT
ejpam-5613	734	10	v	v	NOUN
ejpam-5613	734	11	)	)	PUNCT
ejpam-5613	734	12	.	.	PUNCT
ejpam-5613	735	1	(	(	PUNCT
ejpam-5613	735	2	2.39	2.39	NUM
ejpam-5613	735	3	)	)	PUNCT
ejpam-5613	735	4	we	we	PRON
ejpam-5613	735	5	also	also	ADV
ejpam-5613	735	6	have	have	VERB
ejpam-5613	735	7	the	the	DET
ejpam-5613	735	8	following	follow	VERB
ejpam-5613	735	9	bounds	bound	NOUN
ejpam-5613	735	10	for	for	ADP
ejpam-5613	735	11	c̃	c̃	PROPN
ejpam-5613	735	12	(	(	PUNCT
ejpam-5613	735	13	α	α	PROPN
ejpam-5613	735	14	,	,	PUNCT
ejpam-5613	735	15	y	y	PROPN
ejpam-5613	735	16	,	,	PUNCT
ejpam-5613	735	17	u	u	NOUN
ejpam-5613	735	18	,	,	PUNCT
ejpam-5613	735	19	v	v	NOUN
ejpam-5613	735	20	):	):	PUNCT
ejpam-5613	735	21	c̃	c̃	PROPN
ejpam-5613	735	22	(	(	PUNCT
ejpam-5613	735	23	α	α	PROPN
ejpam-5613	735	24	,	,	PUNCT
ejpam-5613	735	25	y	y	PROPN
ejpam-5613	735	26	,	,	PUNCT
ejpam-5613	735	27	u	u	NOUN
ejpam-5613	735	28	,	,	PUNCT
ejpam-5613	735	29	v	v	NOUN
ejpam-5613	735	30	)	)	PUNCT
ejpam-5613	735	31	o.	o.	PROPN
ejpam-5613	735	32	b.	b.	PROPN
ejpam-5613	735	33	almutairi	almutairi	PROPN
ejpam-5613	735	34	,	,	PUNCT
ejpam-5613	735	35	m.	m.	NOUN
ejpam-5613	735	36	a.	a.	PROPN
ejpam-5613	735	37	latif	latif	PROPN
ejpam-5613	735	38	/	/	SYM
ejpam-5613	735	39	eur	eur	PROPN
ejpam-5613	735	40	.	.	PUNCT
ejpam-5613	736	1	j.	j.	PROPN
ejpam-5613	736	2	pure	pure	PROPN
ejpam-5613	736	3	appl	appl	PROPN
ejpam-5613	736	4	.	.	PROPN
ejpam-5613	736	5	math	math	PROPN
ejpam-5613	736	6	,	,	PUNCT
ejpam-5613	736	7	18	18	NUM
ejpam-5613	736	8	(	(	PUNCT
ejpam-5613	736	9	1	1	NUM
ejpam-5613	736	10	)	)	PUNCT
ejpam-5613	736	11	(	(	PUNCT
ejpam-5613	736	12	2025	2025	NUM
ejpam-5613	736	13	)	)	PUNCT
ejpam-5613	736	14	,	,	PUNCT
ejpam-5613	736	15	5608	5608	NUM
ejpam-5613	736	16	29	29	NUM
ejpam-5613	736	17	of	of	ADP
ejpam-5613	736	18	33	33	NUM
ejpam-5613	736	19	≤	≤	NUM
ejpam-5613	736	20			NOUN
ejpam-5613	736	21	∫	∫	PROPN
ejpam-5613	736	22	b	b	SYM
ejpam-5613	736	23	u	u	NOUN
ejpam-5613	736	24	∫	∫	PROPN
ejpam-5613	737	1	d	d	X
ejpam-5613	737	2	v	v	PROPN
ejpam-5613	737	3	∣∣∣	∣∣∣	NOUN
ejpam-5613	737	4	∂2	∂2	NOUN
ejpam-5613	737	5	∂w∂tα	∂w∂tα	NOUN
ejpam-5613	737	6	(	(	PUNCT
ejpam-5613	737	7	s	s	PROPN
ejpam-5613	737	8	,	,	PUNCT
ejpam-5613	737	9	r	r	NOUN
ejpam-5613	737	10	)	)	PUNCT
ejpam-5613	737	11	∣∣∣	∣∣∣	ADJ
ejpam-5613	737	12	drds	drd	NOUN
ejpam-5613	737	13	∫	∫	PROPN
ejpam-5613	738	1	b	b	PROPN
ejpam-5613	738	2	u	u	PROPN
ejpam-5613	738	3	∫	∫	PROPN
ejpam-5613	738	4	d	d	NOUN
ejpam-5613	738	5	v	v	ADP
ejpam-5613	738	6	∥y	∥y	PROPN
ejpam-5613	738	7	(	(	PUNCT
ejpam-5613	738	8	t	t	PROPN
ejpam-5613	738	9	,	,	PUNCT
ejpam-5613	738	10	w)∥e1×e2	w)∥e1×e2	PROPN
ejpam-5613	738	11	dwdt	dwdt	VERB
ejpam-5613	738	12	+	+	CCONJ
ejpam-5613	738	13	∫	∫	PROPN
ejpam-5613	738	14	u	u	NOUN
ejpam-5613	738	15	a	a	DET
ejpam-5613	738	16	∫	∫	PROPN
ejpam-5613	738	17	d	d	X
ejpam-5613	738	18	v	v	NOUN
ejpam-5613	738	19	∣∣∣	∣∣∣	NOUN
ejpam-5613	738	20	∂2	∂2	NOUN
ejpam-5613	738	21	∂w∂tα	∂w∂tα	NOUN
ejpam-5613	738	22	(	(	PUNCT
ejpam-5613	738	23	s	s	PROPN
ejpam-5613	738	24	,	,	PUNCT
ejpam-5613	738	25	r	r	NOUN
ejpam-5613	738	26	)	)	PUNCT
ejpam-5613	738	27	∣∣∣	∣∣∣	ADJ
ejpam-5613	738	28	drds	drd	NOUN
ejpam-5613	738	29	∫	∫	PROPN
ejpam-5613	738	30	u	u	PROPN
ejpam-5613	738	31	a	a	DET
ejpam-5613	738	32	∫	∫	PROPN
ejpam-5613	738	33	d	d	X
ejpam-5613	738	34	v	v	ADP
ejpam-5613	738	35	∥y	∥y	PROPN
ejpam-5613	738	36	(	(	PUNCT
ejpam-5613	738	37	t	t	PROPN
ejpam-5613	738	38	,	,	PUNCT
ejpam-5613	738	39	w)∥e1×e2	w)∥e1×e2	PROPN
ejpam-5613	738	40	dwdt	dwdt	NOUN
ejpam-5613	738	41	+	+	CCONJ
ejpam-5613	738	42	∫	∫	PROPN
ejpam-5613	738	43	b	b	X
ejpam-5613	738	44	u	u	PROPN
ejpam-5613	738	45	∫	∫	PROPN
ejpam-5613	738	46	v	v	ADP
ejpam-5613	738	47	c	c	PROPN
ejpam-5613	738	48	∣∣∣	∣∣∣	NOUN
ejpam-5613	738	49	∂2	∂2	PROPN
ejpam-5613	738	50	∂w∂tα	∂w∂tα	NOUN
ejpam-5613	738	51	(	(	PUNCT
ejpam-5613	738	52	s	s	PROPN
ejpam-5613	738	53	,	,	PUNCT
ejpam-5613	738	54	r	r	NOUN
ejpam-5613	738	55	)	)	PUNCT
ejpam-5613	738	56	∣∣∣	∣∣∣	ADJ
ejpam-5613	738	57	drds	drd	NOUN
ejpam-5613	738	58	∫	∫	PROPN
ejpam-5613	738	59	b	b	PROPN
ejpam-5613	738	60	u	u	PROPN
ejpam-5613	738	61	∫	∫	PROPN
ejpam-5613	738	62	v	v	NOUN
ejpam-5613	738	63	c	c	NOUN
ejpam-5613	738	64	∥y	∥y	PROPN
ejpam-5613	738	65	(	(	PUNCT
ejpam-5613	738	66	t	t	PROPN
ejpam-5613	738	67	,	,	PUNCT
ejpam-5613	738	68	w)∥e1×e2	w)∥e1×e2	PROPN
ejpam-5613	738	69	dwdt	dwdt	VERB
ejpam-5613	738	70	+	+	CCONJ
ejpam-5613	738	71	∫	∫	PROPN
ejpam-5613	738	72	u	u	PROPN
ejpam-5613	738	73	a	a	DET
ejpam-5613	738	74	∫	∫	PROPN
ejpam-5613	738	75	v	v	ADP
ejpam-5613	738	76	c	c	PROPN
ejpam-5613	738	77	∣∣∣	∣∣∣	NOUN
ejpam-5613	738	78	∂2	∂2	PROPN
ejpam-5613	738	79	∂w∂tα	∂w∂tα	NOUN
ejpam-5613	738	80	(	(	PUNCT
ejpam-5613	738	81	s	s	PROPN
ejpam-5613	738	82	,	,	PUNCT
ejpam-5613	738	83	r	r	NOUN
ejpam-5613	738	84	)	)	PUNCT
ejpam-5613	738	85	∣∣∣	∣∣∣	ADJ
ejpam-5613	738	86	drds	drd	NOUN
ejpam-5613	738	87	∫	∫	PROPN
ejpam-5613	738	88	u	u	PROPN
ejpam-5613	738	89	a	a	DET
ejpam-5613	738	90	∫	∫	PROPN
ejpam-5613	738	91	v	v	NOUN
ejpam-5613	738	92	c	c	NOUN
ejpam-5613	738	93	∥y	∥y	PROPN
ejpam-5613	738	94	(	(	PUNCT
ejpam-5613	738	95	t	t	PROPN
ejpam-5613	738	96	,	,	PUNCT
ejpam-5613	738	97	w)∥e1×e2	w)∥e1×e2	PROPN
ejpam-5613	738	98	dwdt	dwdt	NOUN
ejpam-5613	738	99	,	,	PUNCT
ejpam-5613	738	100	[	[	X
ejpam-5613	738	101	∫	∫	X
ejpam-5613	738	102	b	b	X
ejpam-5613	738	103	u	u	PROPN
ejpam-5613	738	104	∫	∫	PROPN
ejpam-5613	738	105	d	d	X
ejpam-5613	738	106	v	v	PROPN
ejpam-5613	738	107	(	(	PUNCT
ejpam-5613	738	108	∂2	∂2	PROPN
ejpam-5613	738	109	∂w∂t	∂w∂t	ADJ
ejpam-5613	738	110	|α	|α	NOUN
ejpam-5613	738	111	(	(	PUNCT
ejpam-5613	738	112	t	t	PROPN
ejpam-5613	738	113	,	,	PUNCT
ejpam-5613	738	114	w)|	w)|	ADJ
ejpam-5613	738	115	drds	drd	NOUN
ejpam-5613	738	116	)	)	PUNCT
ejpam-5613	738	117	p	p	NOUN
ejpam-5613	738	118	dwdt	dwdt	NOUN
ejpam-5613	738	119	]	]	PUNCT
ejpam-5613	738	120	1	1	NUM
ejpam-5613	738	121	p	p	NOUN
ejpam-5613	738	122	[	[	X
ejpam-5613	738	123	∫	∫	X
ejpam-5613	738	124	b	b	X
ejpam-5613	738	125	u	u	NOUN
ejpam-5613	738	126	∫	∫	PROPN
ejpam-5613	738	127	d	d	X
ejpam-5613	738	128	v	v	PROPN
ejpam-5613	738	129	(	(	PUNCT
ejpam-5613	738	130	∫	∫	PROPN
ejpam-5613	738	131	t	t	PROPN
ejpam-5613	738	132	u	u	X
ejpam-5613	738	133	∫	∫	PROPN
ejpam-5613	738	134	w	w	PROPN
ejpam-5613	739	1	c	c	PROPN
ejpam-5613	739	2	∥y	∥y	PROPN
ejpam-5613	739	3	(	(	PUNCT
ejpam-5613	739	4	s	s	X
ejpam-5613	739	5	,	,	PUNCT
ejpam-5613	739	6	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	739	7	)	)	PUNCT
ejpam-5613	739	8	q	q	NOUN
ejpam-5613	739	9	drdst	drdst	NOUN
ejpam-5613	739	10	]	]	PUNCT
ejpam-5613	739	11	1	1	X
ejpam-5613	739	12	q	q	NOUN
ejpam-5613	740	1	+	+	CCONJ
ejpam-5613	740	2	[	[	X
ejpam-5613	740	3	∫	∫	X
ejpam-5613	740	4	u	u	NOUN
ejpam-5613	740	5	a	a	PRON
ejpam-5613	740	6	∫	∫	PROPN
ejpam-5613	740	7	d	d	X
ejpam-5613	740	8	v	v	PROPN
ejpam-5613	740	9	(	(	PUNCT
ejpam-5613	740	10	∂2	∂2	PROPN
ejpam-5613	740	11	∂w∂t	∂w∂t	ADJ
ejpam-5613	740	12	|α	|α	NOUN
ejpam-5613	740	13	(	(	PUNCT
ejpam-5613	740	14	t	t	PROPN
ejpam-5613	740	15	,	,	PUNCT
ejpam-5613	740	16	w)|	w)|	ADJ
ejpam-5613	740	17	)	)	PUNCT
ejpam-5613	740	18	p	p	NOUN
ejpam-5613	740	19	dwdt	dwdt	NOUN
ejpam-5613	740	20	]	]	PUNCT
ejpam-5613	741	1	1	1	NUM
ejpam-5613	741	2	p	p	NOUN
ejpam-5613	741	3	[	[	X
ejpam-5613	741	4	∫	∫	X
ejpam-5613	741	5	u	u	NOUN
ejpam-5613	741	6	a	a	DET
ejpam-5613	741	7	∫	∫	PROPN
ejpam-5613	741	8	d	d	X
ejpam-5613	741	9	v	v	PROPN
ejpam-5613	741	10	(	(	PUNCT
ejpam-5613	741	11	∫	∫	PROPN
ejpam-5613	741	12	u	u	NOUN
ejpam-5613	741	13	t	t	PROPN
ejpam-5613	741	14	∫	∫	PROPN
ejpam-5613	741	15	w	w	PROPN
ejpam-5613	741	16	v	v	ADP
ejpam-5613	741	17	∥y	∥y	PROPN
ejpam-5613	741	18	(	(	PUNCT
ejpam-5613	741	19	s	s	X
ejpam-5613	741	20	,	,	PUNCT
ejpam-5613	741	21	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	741	22	drds	drd	NOUN
ejpam-5613	741	23	)	)	PUNCT
ejpam-5613	741	24	q	q	PROPN
ejpam-5613	741	25	dwdt	dwdt	NOUN
ejpam-5613	741	26	]	]	PUNCT
ejpam-5613	741	27	1	1	NUM
ejpam-5613	741	28	q	q	NOUN
ejpam-5613	742	1	+	+	CCONJ
ejpam-5613	742	2	[	[	X
ejpam-5613	742	3	∫	∫	X
ejpam-5613	742	4	b	b	X
ejpam-5613	742	5	u	u	NOUN
ejpam-5613	742	6	∫	∫	PROPN
ejpam-5613	742	7	v	v	X
ejpam-5613	742	8	c	c	PROPN
ejpam-5613	742	9	(	(	PUNCT
ejpam-5613	742	10	∂2	∂2	PROPN
ejpam-5613	742	11	∂w∂t	∂w∂t	ADJ
ejpam-5613	742	12	|α	|α	NOUN
ejpam-5613	742	13	(	(	PUNCT
ejpam-5613	742	14	t	t	PROPN
ejpam-5613	742	15	,	,	PUNCT
ejpam-5613	742	16	w)|	w)|	ADJ
ejpam-5613	742	17	)	)	PUNCT
ejpam-5613	742	18	p	p	NOUN
ejpam-5613	742	19	dwdt	dwdt	NOUN
ejpam-5613	742	20	]	]	PUNCT
ejpam-5613	742	21	1	1	NUM
ejpam-5613	742	22	p	p	NOUN
ejpam-5613	742	23	[	[	X
ejpam-5613	742	24	∫	∫	X
ejpam-5613	742	25	b	b	X
ejpam-5613	742	26	u	u	PROPN
ejpam-5613	742	27	∫	∫	PROPN
ejpam-5613	742	28	t	t	PROPN
ejpam-5613	742	29	u	u	PROPN
ejpam-5613	742	30	(	(	PUNCT
ejpam-5613	742	31	∫	∫	PROPN
ejpam-5613	742	32	v	v	NOUN
ejpam-5613	742	33	w	w	PROPN
ejpam-5613	742	34	∥y	∥y	PROPN
ejpam-5613	742	35	(	(	PUNCT
ejpam-5613	742	36	s	s	X
ejpam-5613	742	37	,	,	PUNCT
ejpam-5613	742	38	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	742	39	drds	drd	NOUN
ejpam-5613	742	40	)	)	PUNCT
ejpam-5613	742	41	q	q	PROPN
ejpam-5613	742	42	dwdt	dwdt	NOUN
ejpam-5613	742	43	]	]	PUNCT
ejpam-5613	742	44	1	1	NUM
ejpam-5613	742	45	q	q	NOUN
ejpam-5613	743	1	+	+	CCONJ
ejpam-5613	743	2	[	[	X
ejpam-5613	743	3	∫	∫	X
ejpam-5613	743	4	u	u	NOUN
ejpam-5613	743	5	a	a	DET
ejpam-5613	743	6	∫	∫	PROPN
ejpam-5613	743	7	v	v	X
ejpam-5613	743	8	c	c	PROPN
ejpam-5613	743	9	(	(	PUNCT
ejpam-5613	743	10	∂2	∂2	PROPN
ejpam-5613	743	11	∂w∂t	∂w∂t	ADJ
ejpam-5613	743	12	|α	|α	NOUN
ejpam-5613	743	13	(	(	PUNCT
ejpam-5613	743	14	t	t	PROPN
ejpam-5613	743	15	,	,	PUNCT
ejpam-5613	743	16	w)|	w)|	ADJ
ejpam-5613	743	17	)	)	PUNCT
ejpam-5613	743	18	p	p	NOUN
ejpam-5613	743	19	dwdt	dwdt	NOUN
ejpam-5613	743	20	]	]	PUNCT
ejpam-5613	744	1	1	1	NUM
ejpam-5613	744	2	p	p	NOUN
ejpam-5613	744	3	[	[	X
ejpam-5613	744	4	∫	∫	X
ejpam-5613	744	5	u	u	NOUN
ejpam-5613	744	6	a	a	DET
ejpam-5613	744	7	∫	∫	PROPN
ejpam-5613	744	8	v	v	ADP
ejpam-5613	744	9	c	c	PROPN
ejpam-5613	744	10	(	(	PUNCT
ejpam-5613	744	11	∫	∫	PROPN
ejpam-5613	744	12	u	u	X
ejpam-5613	744	13	t	t	PROPN
ejpam-5613	744	14	∫	∫	PROPN
ejpam-5613	744	15	v	v	NOUN
ejpam-5613	744	16	w	w	PROPN
ejpam-5613	744	17	∥y	∥y	PROPN
ejpam-5613	744	18	(	(	PUNCT
ejpam-5613	744	19	s	s	X
ejpam-5613	744	20	,	,	PUNCT
ejpam-5613	744	21	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	744	22	drds	drd	NOUN
ejpam-5613	744	23	)	)	PUNCT
ejpam-5613	744	24	q	q	PROPN
ejpam-5613	744	25	dwdt	dwdt	NOUN
ejpam-5613	744	26	]	]	PUNCT
ejpam-5613	744	27	1	1	NUM
ejpam-5613	744	28	q	q	NOUN
ejpam-5613	744	29	,	,	PUNCT
ejpam-5613	744	30	∫	∫	PROPN
ejpam-5613	744	31	b	b	PROPN
ejpam-5613	744	32	u	u	PROPN
ejpam-5613	744	33	∫	∫	PROPN
ejpam-5613	744	34	d	d	X
ejpam-5613	744	35	v	v	PROPN
ejpam-5613	744	36	(	(	PUNCT
ejpam-5613	744	37	∫	∫	PROPN
ejpam-5613	744	38	t	t	PROPN
ejpam-5613	744	39	u	u	PROPN
ejpam-5613	744	40	∫	∫	PROPN
ejpam-5613	744	41	w	w	PROPN
ejpam-5613	744	42	v	v	ADP
ejpam-5613	744	43	∥y	∥y	PROPN
ejpam-5613	744	44	(	(	PUNCT
ejpam-5613	744	45	s	s	X
ejpam-5613	744	46	,	,	PUNCT
ejpam-5613	744	47	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	744	48	drds	drd	NOUN
ejpam-5613	744	49	)	)	PUNCT
ejpam-5613	744	50	dwdt	dwdt	PROPN
ejpam-5613	744	51	sup	sup	PROPN
ejpam-5613	744	52	(	(	PUNCT
ejpam-5613	744	53	t	t	PROPN
ejpam-5613	744	54	,	,	PUNCT
ejpam-5613	744	55	w)∈[u	w)∈[u	NOUN
ejpam-5613	744	56	,	,	PUNCT
ejpam-5613	744	57	b]×[v	b]×[v	PROPN
ejpam-5613	744	58	,	,	PUNCT
ejpam-5613	744	59	d	d	X
ejpam-5613	744	60	]	]	X
ejpam-5613	744	61	∣∣∣	∣∣∣	ADJ
ejpam-5613	744	62	∂2	∂2	PROPN
ejpam-5613	744	63	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	744	64	(	(	PUNCT
ejpam-5613	744	65	t	t	PROPN
ejpam-5613	744	66	,	,	PUNCT
ejpam-5613	744	67	w	w	NOUN
ejpam-5613	744	68	)	)	PUNCT
ejpam-5613	744	69	∣∣∣	∣∣∣	NOUN
ejpam-5613	745	1	+	+	CCONJ
ejpam-5613	745	2	∫	∫	PROPN
ejpam-5613	745	3	u	u	NOUN
ejpam-5613	745	4	a	a	DET
ejpam-5613	745	5	∫	∫	PROPN
ejpam-5613	745	6	d	d	X
ejpam-5613	745	7	v	v	PROPN
ejpam-5613	745	8	(	(	PUNCT
ejpam-5613	745	9	∫	∫	PROPN
ejpam-5613	745	10	u	u	NOUN
ejpam-5613	745	11	t	t	PROPN
ejpam-5613	745	12	∫	∫	PROPN
ejpam-5613	745	13	w	w	PROPN
ejpam-5613	745	14	v	v	ADP
ejpam-5613	745	15	∥y	∥y	PROPN
ejpam-5613	745	16	(	(	PUNCT
ejpam-5613	745	17	s	s	X
ejpam-5613	745	18	,	,	PUNCT
ejpam-5613	745	19	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	745	20	drds	drd	NOUN
ejpam-5613	745	21	)	)	PUNCT
ejpam-5613	745	22	dwdt	dwdt	PROPN
ejpam-5613	745	23	sup	sup	PROPN
ejpam-5613	745	24	(	(	PUNCT
ejpam-5613	745	25	t	t	PROPN
ejpam-5613	745	26	,	,	PUNCT
ejpam-5613	745	27	w)∈[a	w)∈[a	NOUN
ejpam-5613	745	28	,	,	PUNCT
ejpam-5613	745	29	u]×[v	u]×[v	PROPN
ejpam-5613	745	30	,	,	PUNCT
ejpam-5613	745	31	d	d	X
ejpam-5613	745	32	]	]	X
ejpam-5613	745	33	∣∣∣	∣∣∣	ADJ
ejpam-5613	745	34	∂2	∂2	PROPN
ejpam-5613	745	35	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	745	36	(	(	PUNCT
ejpam-5613	745	37	t	t	PROPN
ejpam-5613	745	38	,	,	PUNCT
ejpam-5613	745	39	w	w	NOUN
ejpam-5613	745	40	)	)	PUNCT
ejpam-5613	745	41	∣∣∣	∣∣∣	NOUN
ejpam-5613	746	1	+	+	CCONJ
ejpam-5613	746	2	∫	∫	PROPN
ejpam-5613	746	3	b	b	X
ejpam-5613	746	4	u	u	PROPN
ejpam-5613	746	5	∫	∫	PROPN
ejpam-5613	746	6	v	v	PROPN
ejpam-5613	746	7	c	c	PROPN
ejpam-5613	746	8	(	(	PUNCT
ejpam-5613	746	9	∫	∫	PROPN
ejpam-5613	746	10	t	t	PROPN
ejpam-5613	746	11	u	u	X
ejpam-5613	746	12	∫	∫	PROPN
ejpam-5613	746	13	v	v	NOUN
ejpam-5613	746	14	w	w	PROPN
ejpam-5613	746	15	∥y	∥y	PROPN
ejpam-5613	746	16	(	(	PUNCT
ejpam-5613	746	17	s	s	X
ejpam-5613	746	18	,	,	PUNCT
ejpam-5613	746	19	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	746	20	drds	drd	NOUN
ejpam-5613	746	21	)	)	PUNCT
ejpam-5613	746	22	dwdt	dwdt	PROPN
ejpam-5613	746	23	sup	sup	PROPN
ejpam-5613	746	24	(	(	PUNCT
ejpam-5613	746	25	t	t	PROPN
ejpam-5613	746	26	,	,	PUNCT
ejpam-5613	746	27	w)∈[u	w)∈[u	PROPN
ejpam-5613	746	28	,	,	PUNCT
ejpam-5613	746	29	b]×[c	b]×[c	PROPN
ejpam-5613	746	30	,	,	PUNCT
ejpam-5613	746	31	v	v	NOUN
ejpam-5613	746	32	]	]	PUNCT
ejpam-5613	746	33	∣∣∣	∣∣∣	NOUN
ejpam-5613	746	34	∂2	∂2	PROPN
ejpam-5613	746	35	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	746	36	(	(	PUNCT
ejpam-5613	746	37	t	t	PROPN
ejpam-5613	746	38	,	,	PUNCT
ejpam-5613	746	39	w	w	NOUN
ejpam-5613	746	40	)	)	PUNCT
ejpam-5613	746	41	∣∣∣	∣∣∣	NOUN
ejpam-5613	747	1	+	+	CCONJ
ejpam-5613	747	2	∫	∫	PROPN
ejpam-5613	747	3	u	u	NOUN
ejpam-5613	747	4	a	a	DET
ejpam-5613	747	5	∫	∫	PROPN
ejpam-5613	747	6	v	v	ADP
ejpam-5613	747	7	c	c	PROPN
ejpam-5613	747	8	(	(	PUNCT
ejpam-5613	747	9	∫	∫	PROPN
ejpam-5613	747	10	u	u	X
ejpam-5613	747	11	t	t	PROPN
ejpam-5613	747	12	∫	∫	PROPN
ejpam-5613	747	13	v	v	NOUN
ejpam-5613	747	14	w	w	PROPN
ejpam-5613	747	15	∥y	∥y	PROPN
ejpam-5613	747	16	(	(	PUNCT
ejpam-5613	747	17	s	s	X
ejpam-5613	747	18	,	,	PUNCT
ejpam-5613	747	19	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	747	20	drds	drd	NOUN
ejpam-5613	747	21	)	)	PUNCT
ejpam-5613	747	22	dwdt	dwdt	PROPN
ejpam-5613	747	23	sup	sup	PROPN
ejpam-5613	747	24	(	(	PUNCT
ejpam-5613	747	25	t	t	PROPN
ejpam-5613	747	26	,	,	PUNCT
ejpam-5613	747	27	w)∈[a	w)∈[a	NOUN
ejpam-5613	747	28	,	,	PUNCT
ejpam-5613	747	29	u]×[c	u]×[c	PROPN
ejpam-5613	747	30	,	,	PUNCT
ejpam-5613	747	31	v	v	NOUN
ejpam-5613	747	32	]	]	PUNCT
ejpam-5613	747	33	∣∣∣	∣∣∣	NOUN
ejpam-5613	747	34	∂2	∂2	PROPN
ejpam-5613	747	35	∂w∂ty	∂w∂ty	NOUN
ejpam-5613	747	36	(	(	PUNCT
ejpam-5613	747	37	t	t	PROPN
ejpam-5613	747	38	,	,	PUNCT
ejpam-5613	747	39	w	w	NOUN
ejpam-5613	747	40	)	)	PUNCT
ejpam-5613	747	41	∣∣∣	∣∣∣	NOUN
ejpam-5613	747	42	.	.	PUNCT
ejpam-5613	748	1	(	(	PUNCT
ejpam-5613	748	2	2.40	2.40	NUM
ejpam-5613	748	3	)	)	PUNCT
ejpam-5613	748	4	proof	proof	NOUN
ejpam-5613	748	5	.	.	PUNCT
ejpam-5613	749	1	by	by	ADP
ejpam-5613	749	2	integration	integration	NOUN
ejpam-5613	749	3	by	by	ADP
ejpam-5613	749	4	parts	part	NOUN
ejpam-5613	749	5	,	,	PUNCT
ejpam-5613	749	6	we	we	PRON
ejpam-5613	749	7	can	can	AUX
ejpam-5613	749	8	observe	observe	VERB
ejpam-5613	749	9	that	that	SCONJ
ejpam-5613	749	10	for	for	ADP
ejpam-5613	749	11	all	all	DET
ejpam-5613	749	12	(	(	PUNCT
ejpam-5613	749	13	u	u	NOUN
ejpam-5613	749	14	,	,	PUNCT
ejpam-5613	749	15	v	v	NOUN
ejpam-5613	749	16	)	)	PUNCT
ejpam-5613	749	17	∈	∈	NOUN
ejpam-5613	750	1	[	[	X
ejpam-5613	750	2	a	a	X
ejpam-5613	750	3	,	,	PUNCT
ejpam-5613	750	4	b	b	NOUN
ejpam-5613	750	5	]	]	X
ejpam-5613	750	6	×	×	NOUN
ejpam-5613	750	7	[	[	X
ejpam-5613	750	8	c	c	X
ejpam-5613	750	9	,	,	PUNCT
ejpam-5613	750	10	d	d	X
ejpam-5613	750	11	]	]	X
ejpam-5613	750	12	,	,	PUNCT
ejpam-5613	750	13	we	we	PRON
ejpam-5613	750	14	have	have	VERB
ejpam-5613	750	15	the	the	DET
ejpam-5613	750	16	following	follow	VERB
ejpam-5613	750	17	equality:∫	equality:∫	ADJ
ejpam-5613	750	18	b	b	SYM
ejpam-5613	750	19	u	u	NOUN
ejpam-5613	750	20	∫	∫	PROPN
ejpam-5613	750	21	d	d	X
ejpam-5613	750	22	v	v	PROPN
ejpam-5613	750	23	∂2	∂2	PROPN
ejpam-5613	750	24	∂w∂t	∂w∂t	INTJ
ejpam-5613	750	25	α	α	PROPN
ejpam-5613	750	26	(	(	PUNCT
ejpam-5613	750	27	t	t	PROPN
ejpam-5613	750	28	,	,	PUNCT
ejpam-5613	750	29	w	w	NOUN
ejpam-5613	750	30	)	)	PUNCT
ejpam-5613	750	31	(	(	PUNCT
ejpam-5613	750	32	∫	∫	PROPN
ejpam-5613	750	33	t	t	PROPN
ejpam-5613	750	34	u	u	X
ejpam-5613	750	35	∫	∫	PROPN
ejpam-5613	750	36	w	w	PROPN
ejpam-5613	750	37	v	v	PROPN
ejpam-5613	750	38	y	y	PROPN
ejpam-5613	750	39	(	(	PUNCT
ejpam-5613	750	40	s	s	X
ejpam-5613	750	41	,	,	PUNCT
ejpam-5613	750	42	r	r	NOUN
ejpam-5613	750	43	)	)	PUNCT
ejpam-5613	750	44	drds	drd	NOUN
ejpam-5613	750	45	)	)	PUNCT
ejpam-5613	750	46	dwdt∫	dwdt∫	PROPN
ejpam-5613	750	47	b	b	PROPN
ejpam-5613	750	48	u	u	PROPN
ejpam-5613	751	1	[	[	X
ejpam-5613	751	2	∫	∫	PROPN
ejpam-5613	751	3	d	d	X
ejpam-5613	751	4	v	v	PROPN
ejpam-5613	751	5	∂2	∂2	PROPN
ejpam-5613	751	6	∂w∂t	∂w∂t	INTJ
ejpam-5613	751	7	α	α	PROPN
ejpam-5613	751	8	(	(	PUNCT
ejpam-5613	751	9	t	t	PROPN
ejpam-5613	751	10	,	,	PUNCT
ejpam-5613	751	11	w	w	NOUN
ejpam-5613	751	12	)	)	PUNCT
ejpam-5613	751	13	(	(	PUNCT
ejpam-5613	751	14	∫	∫	PROPN
ejpam-5613	751	15	t	t	PROPN
ejpam-5613	751	16	u	u	X
ejpam-5613	751	17	∫	∫	PROPN
ejpam-5613	751	18	w	w	PROPN
ejpam-5613	751	19	v	v	PROPN
ejpam-5613	751	20	y	y	PROPN
ejpam-5613	751	21	(	(	PUNCT
ejpam-5613	751	22	s	s	X
ejpam-5613	751	23	,	,	PUNCT
ejpam-5613	751	24	r	r	NOUN
ejpam-5613	751	25	)	)	PUNCT
ejpam-5613	751	26	drds	drd	NOUN
ejpam-5613	751	27	)	)	PUNCT
ejpam-5613	751	28	dw	dw	PROPN
ejpam-5613	751	29	]	]	PUNCT
ejpam-5613	751	30	dt	dt	PROPN
ejpam-5613	752	1	=	=	PUNCT
ejpam-5613	752	2	∫	∫	PROPN
ejpam-5613	752	3	b	b	SYM
ejpam-5613	752	4	u	u	PROPN
ejpam-5613	752	5	[	[	PUNCT
ejpam-5613	752	6	∂	∂	NUM
ejpam-5613	752	7	∂t	∂t	PROPN
ejpam-5613	752	8	α	α	PROPN
ejpam-5613	752	9	(	(	PUNCT
ejpam-5613	752	10	t	t	PROPN
ejpam-5613	752	11	,	,	PUNCT
ejpam-5613	752	12	w	w	NOUN
ejpam-5613	752	13	)	)	PUNCT
ejpam-5613	752	14	(	(	PUNCT
ejpam-5613	752	15	∫	∫	PROPN
ejpam-5613	752	16	t	t	PROPN
ejpam-5613	752	17	u	u	X
ejpam-5613	752	18	∫	∫	PROPN
ejpam-5613	752	19	w	w	PROPN
ejpam-5613	752	20	v	v	PROPN
ejpam-5613	752	21	y	y	PROPN
ejpam-5613	752	22	(	(	PUNCT
ejpam-5613	752	23	s	s	X
ejpam-5613	752	24	,	,	PUNCT
ejpam-5613	752	25	r	r	NOUN
ejpam-5613	752	26	)	)	PUNCT
ejpam-5613	752	27	drds	drd	NOUN
ejpam-5613	752	28	)	)	PUNCT
ejpam-5613	752	29	∣∣∣∣d	∣∣∣∣d	VERB
ejpam-5613	752	30	v	v	ADP
ejpam-5613	752	31	−	−	PROPN
ejpam-5613	752	32	∫	∫	PROPN
ejpam-5613	752	33	d	d	X
ejpam-5613	752	34	v	v	PROPN
ejpam-5613	752	35	(	(	PUNCT
ejpam-5613	752	36	∂	∂	NUM
ejpam-5613	752	37	∂t	∂t	PROPN
ejpam-5613	752	38	α	α	PROPN
ejpam-5613	752	39	(	(	PUNCT
ejpam-5613	752	40	t	t	PROPN
ejpam-5613	752	41	,	,	PUNCT
ejpam-5613	752	42	w	w	PROPN
ejpam-5613	752	43	)	)	PUNCT
ejpam-5613	752	44	∫	∫	PROPN
ejpam-5613	753	1	t	t	PROPN
ejpam-5613	753	2	u	u	X
ejpam-5613	753	3	y	y	PROPN
ejpam-5613	753	4	(	(	PUNCT
ejpam-5613	753	5	s	s	PROPN
ejpam-5613	753	6	,	,	PUNCT
ejpam-5613	753	7	w	w	NOUN
ejpam-5613	753	8	)	)	PUNCT
ejpam-5613	753	9	ds	ds	ADJ
ejpam-5613	753	10	)	)	PUNCT
ejpam-5613	753	11	dw	dw	NOUN
ejpam-5613	753	12	]	]	PUNCT
ejpam-5613	753	13	dt	dt	PROPN
ejpam-5613	754	1	=	=	PUNCT
ejpam-5613	754	2	∫	∫	PROPN
ejpam-5613	754	3	b	b	PROPN
ejpam-5613	754	4	u	u	PROPN
ejpam-5613	754	5	∂	∂	NOUN
ejpam-5613	754	6	∂t	∂t	PROPN
ejpam-5613	754	7	α	α	PROPN
ejpam-5613	754	8	(	(	PUNCT
ejpam-5613	754	9	t	t	PROPN
ejpam-5613	754	10	,	,	PUNCT
ejpam-5613	754	11	d	d	NOUN
ejpam-5613	754	12	)	)	PUNCT
ejpam-5613	754	13	(	(	PUNCT
ejpam-5613	754	14	∫	∫	PROPN
ejpam-5613	754	15	t	t	PROPN
ejpam-5613	754	16	u	u	NOUN
ejpam-5613	754	17	∫	∫	PROPN
ejpam-5613	754	18	d	d	X
ejpam-5613	754	19	v	v	PROPN
ejpam-5613	754	20	y	y	PROPN
ejpam-5613	754	21	(	(	PUNCT
ejpam-5613	754	22	s	s	X
ejpam-5613	754	23	,	,	PUNCT
ejpam-5613	754	24	r	r	NOUN
ejpam-5613	754	25	)	)	PUNCT
ejpam-5613	754	26	drds	drd	NOUN
ejpam-5613	754	27	)	)	PUNCT
ejpam-5613	755	1	dt−	dt−	NUM
ejpam-5613	755	2	∫	∫	PROPN
ejpam-5613	755	3	d	d	X
ejpam-5613	755	4	v	v	PROPN
ejpam-5613	755	5	[	[	X
ejpam-5613	755	6	∫	∫	X
ejpam-5613	755	7	b	b	PROPN
ejpam-5613	755	8	u	u	PROPN
ejpam-5613	755	9	(	(	PUNCT
ejpam-5613	755	10	∂	∂	NOUN
ejpam-5613	755	11	∂t	∂t	PROPN
ejpam-5613	755	12	α	α	PROPN
ejpam-5613	755	13	(	(	PUNCT
ejpam-5613	755	14	t	t	PROPN
ejpam-5613	755	15	,	,	PUNCT
ejpam-5613	755	16	w	w	PROPN
ejpam-5613	755	17	)	)	PUNCT
ejpam-5613	755	18	∫	∫	PROPN
ejpam-5613	755	19	t	t	PROPN
ejpam-5613	755	20	u	u	X
ejpam-5613	755	21	y	y	PROPN
ejpam-5613	755	22	(	(	PUNCT
ejpam-5613	755	23	s	s	PROPN
ejpam-5613	755	24	,	,	PUNCT
ejpam-5613	755	25	w	w	NOUN
ejpam-5613	755	26	)	)	PUNCT
ejpam-5613	755	27	ds	ds	ADJ
ejpam-5613	755	28	)	)	PUNCT
ejpam-5613	755	29	dt	dt	X
ejpam-5613	755	30	]	]	PUNCT
ejpam-5613	755	31	dw	dw	PROPN
ejpam-5613	755	32	=	=	SYM
ejpam-5613	755	33	α	α	PROPN
ejpam-5613	755	34	(	(	PUNCT
ejpam-5613	755	35	t	t	PROPN
ejpam-5613	755	36	,	,	PUNCT
ejpam-5613	755	37	d	d	NOUN
ejpam-5613	755	38	)	)	PUNCT
ejpam-5613	755	39	(	(	PUNCT
ejpam-5613	755	40	∫	∫	PROPN
ejpam-5613	755	41	t	t	PROPN
ejpam-5613	755	42	u	u	NOUN
ejpam-5613	755	43	∫	∫	PROPN
ejpam-5613	755	44	d	d	X
ejpam-5613	755	45	v	v	PROPN
ejpam-5613	755	46	y	y	PROPN
ejpam-5613	755	47	(	(	PUNCT
ejpam-5613	755	48	s	s	X
ejpam-5613	755	49	,	,	PUNCT
ejpam-5613	755	50	r	r	NOUN
ejpam-5613	755	51	)	)	PUNCT
ejpam-5613	755	52	drds	drd	NOUN
ejpam-5613	755	53	)	)	PUNCT
ejpam-5613	755	54	∣∣∣∣b	∣∣∣∣b	NOUN
ejpam-5613	755	55	u	u	NOUN
ejpam-5613	756	1	−	−	PROPN
ejpam-5613	756	2	∫	∫	PROPN
ejpam-5613	756	3	b	b	PROPN
ejpam-5613	756	4	u	u	PROPN
ejpam-5613	756	5	α	α	PROPN
ejpam-5613	756	6	(	(	PUNCT
ejpam-5613	756	7	t	t	PROPN
ejpam-5613	756	8	,	,	PUNCT
ejpam-5613	756	9	d	d	NOUN
ejpam-5613	756	10	)	)	PUNCT
ejpam-5613	756	11	(	(	PUNCT
ejpam-5613	756	12	∫	∫	PROPN
ejpam-5613	756	13	d	d	X
ejpam-5613	756	14	v	v	PROPN
ejpam-5613	756	15	y	y	PROPN
ejpam-5613	756	16	(	(	PUNCT
ejpam-5613	756	17	t	t	PROPN
ejpam-5613	756	18	,	,	PUNCT
ejpam-5613	756	19	r	r	NOUN
ejpam-5613	756	20	)	)	PUNCT
ejpam-5613	756	21	dr	dr	PROPN
ejpam-5613	756	22	)	)	PUNCT
ejpam-5613	756	23	dt	dt	PROPN
ejpam-5613	757	1	−	−	PROPN
ejpam-5613	757	2	∫	∫	PROPN
ejpam-5613	758	1	d	d	X
ejpam-5613	758	2	v	v	ADP
ejpam-5613	758	3	α	α	PROPN
ejpam-5613	758	4	(	(	PUNCT
ejpam-5613	758	5	t	t	PROPN
ejpam-5613	758	6	,	,	PUNCT
ejpam-5613	758	7	w	w	NOUN
ejpam-5613	758	8	)	)	PUNCT
ejpam-5613	758	9	(	(	PUNCT
ejpam-5613	758	10	∫	∫	PROPN
ejpam-5613	758	11	t	t	PROPN
ejpam-5613	758	12	u	u	X
ejpam-5613	758	13	y	y	PROPN
ejpam-5613	758	14	(	(	PUNCT
ejpam-5613	758	15	s	s	PROPN
ejpam-5613	758	16	,	,	PUNCT
ejpam-5613	758	17	w	w	NOUN
ejpam-5613	758	18	)	)	PUNCT
ejpam-5613	758	19	ds	ds	ADJ
ejpam-5613	758	20	)	)	PUNCT
ejpam-5613	758	21	dw	dw	PROPN
ejpam-5613	758	22	∣∣∣∣b	∣∣∣∣b	PROPN
ejpam-5613	758	23	u	u	PROPN
ejpam-5613	758	24	+	+	CCONJ
ejpam-5613	758	25	∫	∫	PROPN
ejpam-5613	758	26	b	b	X
ejpam-5613	758	27	u	u	PROPN
ejpam-5613	758	28	∫	∫	PROPN
ejpam-5613	758	29	d	d	X
ejpam-5613	758	30	v	v	ADP
ejpam-5613	758	31	α	α	PROPN
ejpam-5613	758	32	(	(	PUNCT
ejpam-5613	758	33	t	t	PROPN
ejpam-5613	758	34	,	,	PUNCT
ejpam-5613	758	35	w)y	w)y	X
ejpam-5613	758	36	(	(	PUNCT
ejpam-5613	758	37	t	t	PROPN
ejpam-5613	758	38	,	,	PUNCT
ejpam-5613	758	39	w	w	NOUN
ejpam-5613	758	40	)	)	PUNCT
ejpam-5613	758	41	dwdt	dwdt	NOUN
ejpam-5613	758	42	=	=	SYM
ejpam-5613	758	43	α	α	PROPN
ejpam-5613	758	44	(	(	PUNCT
ejpam-5613	758	45	b	b	NOUN
ejpam-5613	758	46	,	,	PUNCT
ejpam-5613	758	47	d	d	NOUN
ejpam-5613	758	48	)	)	PUNCT
ejpam-5613	758	49	(	(	PUNCT
ejpam-5613	758	50	∫	∫	PROPN
ejpam-5613	758	51	b	b	X
ejpam-5613	758	52	u	u	PROPN
ejpam-5613	758	53	∫	∫	PROPN
ejpam-5613	758	54	d	d	X
ejpam-5613	758	55	v	v	PROPN
ejpam-5613	758	56	y	y	PROPN
ejpam-5613	758	57	(	(	PUNCT
ejpam-5613	758	58	s	s	X
ejpam-5613	758	59	,	,	PUNCT
ejpam-5613	758	60	r	r	NOUN
ejpam-5613	758	61	)	)	PUNCT
ejpam-5613	758	62	drds	drd	NOUN
ejpam-5613	758	63	)	)	PUNCT
ejpam-5613	759	1	−	−	ADP
ejpam-5613	760	1	∫	∫	PROPN
ejpam-5613	760	2	b	b	X
ejpam-5613	760	3	u	u	PROPN
ejpam-5613	760	4	α	α	PROPN
ejpam-5613	760	5	(	(	PUNCT
ejpam-5613	760	6	t	t	PROPN
ejpam-5613	760	7	,	,	PUNCT
ejpam-5613	760	8	d	d	NOUN
ejpam-5613	760	9	)	)	PUNCT
ejpam-5613	760	10	(	(	PUNCT
ejpam-5613	760	11	∫	∫	PROPN
ejpam-5613	760	12	d	d	X
ejpam-5613	760	13	v	v	PROPN
ejpam-5613	760	14	y	y	PROPN
ejpam-5613	760	15	(	(	PUNCT
ejpam-5613	760	16	t	t	PROPN
ejpam-5613	760	17	,	,	PUNCT
ejpam-5613	760	18	r	r	NOUN
ejpam-5613	760	19	)	)	PUNCT
ejpam-5613	760	20	dr	dr	PROPN
ejpam-5613	760	21	)	)	PUNCT
ejpam-5613	760	22	dt	dt	PROPN
ejpam-5613	760	23	o.	o.	PROPN
ejpam-5613	760	24	b.	b.	PROPN
ejpam-5613	760	25	almutairi	almutairi	PROPN
ejpam-5613	760	26	,	,	PUNCT
ejpam-5613	760	27	m.	m.	NOUN
ejpam-5613	760	28	a.	a.	PROPN
ejpam-5613	760	29	latif	latif	PROPN
ejpam-5613	760	30	/	/	SYM
ejpam-5613	760	31	eur	eur	PROPN
ejpam-5613	760	32	.	.	PUNCT
ejpam-5613	761	1	j.	j.	PROPN
ejpam-5613	761	2	pure	pure	PROPN
ejpam-5613	761	3	appl	appl	PROPN
ejpam-5613	761	4	.	.	PROPN
ejpam-5613	761	5	math	math	PROPN
ejpam-5613	761	6	,	,	PUNCT
ejpam-5613	761	7	18	18	NUM
ejpam-5613	761	8	(	(	PUNCT
ejpam-5613	761	9	1	1	NUM
ejpam-5613	761	10	)	)	PUNCT
ejpam-5613	761	11	(	(	PUNCT
ejpam-5613	761	12	2025	2025	NUM
ejpam-5613	761	13	)	)	PUNCT
ejpam-5613	761	14	,	,	PUNCT
ejpam-5613	761	15	5608	5608	NUM
ejpam-5613	761	16	30	30	NUM
ejpam-5613	761	17	of	of	ADP
ejpam-5613	761	18	33	33	NUM
ejpam-5613	761	19	−	−	NOUN
ejpam-5613	761	20	∫	∫	PROPN
ejpam-5613	762	1	d	d	X
ejpam-5613	762	2	v	v	ADP
ejpam-5613	762	3	α	α	PROPN
ejpam-5613	762	4	(	(	PUNCT
ejpam-5613	762	5	b	b	NOUN
ejpam-5613	762	6	,	,	PUNCT
ejpam-5613	762	7	w	w	NOUN
ejpam-5613	762	8	)	)	PUNCT
ejpam-5613	762	9	(	(	PUNCT
ejpam-5613	762	10	∫	∫	PROPN
ejpam-5613	762	11	b	b	PROPN
ejpam-5613	762	12	u	u	X
ejpam-5613	762	13	y	y	PROPN
ejpam-5613	762	14	(	(	PUNCT
ejpam-5613	762	15	s	s	PROPN
ejpam-5613	762	16	,	,	PUNCT
ejpam-5613	762	17	w	w	NOUN
ejpam-5613	762	18	)	)	PUNCT
ejpam-5613	762	19	ds	ds	ADJ
ejpam-5613	762	20	)	)	PUNCT
ejpam-5613	762	21	dw	dw	PROPN
ejpam-5613	763	1	+	+	CCONJ
ejpam-5613	763	2	∫	∫	PROPN
ejpam-5613	763	3	b	b	X
ejpam-5613	763	4	u	u	PROPN
ejpam-5613	763	5	∫	∫	PROPN
ejpam-5613	763	6	d	d	X
ejpam-5613	763	7	v	v	ADP
ejpam-5613	763	8	α	α	PROPN
ejpam-5613	763	9	(	(	PUNCT
ejpam-5613	763	10	t	t	PROPN
ejpam-5613	763	11	,	,	PUNCT
ejpam-5613	763	12	w)y	w)y	X
ejpam-5613	763	13	(	(	PUNCT
ejpam-5613	763	14	t	t	PROPN
ejpam-5613	763	15	,	,	PUNCT
ejpam-5613	763	16	w	w	NOUN
ejpam-5613	763	17	)	)	PUNCT
ejpam-5613	763	18	dwdt	dwdt	NOUN
ejpam-5613	763	19	(	(	PUNCT
ejpam-5613	763	20	2.41	2.41	NUM
ejpam-5613	763	21	)	)	PUNCT
ejpam-5613	763	22	in	in	ADP
ejpam-5613	763	23	a	a	DET
ejpam-5613	763	24	similar	similar	ADJ
ejpam-5613	763	25	way	way	NOUN
ejpam-5613	763	26	,	,	PUNCT
ejpam-5613	763	27	we	we	PRON
ejpam-5613	763	28	can	can	AUX
ejpam-5613	763	29	get	get	VERB
ejpam-5613	763	30	the	the	DET
ejpam-5613	763	31	following	follow	VERB
ejpam-5613	763	32	equalities:∫	equalities:∫	NOUN
ejpam-5613	763	33	u	u	PROPN
ejpam-5613	763	34	a	a	DET
ejpam-5613	763	35	∫	∫	PROPN
ejpam-5613	763	36	d	d	X
ejpam-5613	763	37	v	v	PROPN
ejpam-5613	763	38	∂2	∂2	PROPN
ejpam-5613	763	39	∂w∂t	∂w∂t	INTJ
ejpam-5613	763	40	α	α	PROPN
ejpam-5613	763	41	(	(	PUNCT
ejpam-5613	763	42	t	t	PROPN
ejpam-5613	763	43	,	,	PUNCT
ejpam-5613	763	44	w	w	PROPN
ejpam-5613	763	45	)	)	PUNCT
ejpam-5613	763	46	(	(	PUNCT
ejpam-5613	763	47	∫	∫	PROPN
ejpam-5613	763	48	u	u	X
ejpam-5613	763	49	t	t	PROPN
ejpam-5613	763	50	∫	∫	PROPN
ejpam-5613	763	51	w	w	PROPN
ejpam-5613	763	52	v	v	PROPN
ejpam-5613	763	53	y	y	PROPN
ejpam-5613	763	54	(	(	PUNCT
ejpam-5613	763	55	s	s	X
ejpam-5613	763	56	,	,	PUNCT
ejpam-5613	763	57	r	r	NOUN
ejpam-5613	763	58	)	)	PUNCT
ejpam-5613	763	59	drds	drd	NOUN
ejpam-5613	763	60	)	)	PUNCT
ejpam-5613	763	61	dwdt	dwdt	NOUN
ejpam-5613	763	62	=	=	SYM
ejpam-5613	763	63	−α	−α	PROPN
ejpam-5613	763	64	(	(	PUNCT
ejpam-5613	763	65	a	a	DET
ejpam-5613	763	66	,	,	PUNCT
ejpam-5613	763	67	d	d	NOUN
ejpam-5613	763	68	)	)	PUNCT
ejpam-5613	763	69	(	(	PUNCT
ejpam-5613	763	70	∫	∫	PROPN
ejpam-5613	763	71	u	u	PROPN
ejpam-5613	763	72	a	a	DET
ejpam-5613	763	73	∫	∫	PROPN
ejpam-5613	763	74	d	d	X
ejpam-5613	763	75	v	v	PROPN
ejpam-5613	763	76	y	y	PROPN
ejpam-5613	763	77	(	(	PUNCT
ejpam-5613	763	78	s	s	X
ejpam-5613	763	79	,	,	PUNCT
ejpam-5613	763	80	r	r	NOUN
ejpam-5613	763	81	)	)	PUNCT
ejpam-5613	763	82	drds	drd	NOUN
ejpam-5613	763	83	)	)	PUNCT
ejpam-5613	764	1	+	+	CCONJ
ejpam-5613	764	2	∫	∫	PROPN
ejpam-5613	764	3	u	u	NOUN
ejpam-5613	765	1	a	a	PRON
ejpam-5613	765	2	α	α	PROPN
ejpam-5613	765	3	(	(	PUNCT
ejpam-5613	765	4	t	t	PROPN
ejpam-5613	765	5	,	,	PUNCT
ejpam-5613	765	6	d	d	NOUN
ejpam-5613	765	7	)	)	PUNCT
ejpam-5613	765	8	(	(	PUNCT
ejpam-5613	765	9	∫	∫	PROPN
ejpam-5613	765	10	d	d	X
ejpam-5613	765	11	v	v	PROPN
ejpam-5613	765	12	y	y	PROPN
ejpam-5613	765	13	(	(	PUNCT
ejpam-5613	765	14	t	t	PROPN
ejpam-5613	765	15	,	,	PUNCT
ejpam-5613	765	16	r	r	NOUN
ejpam-5613	765	17	)	)	PUNCT
ejpam-5613	765	18	dr	dr	PROPN
ejpam-5613	765	19	)	)	PUNCT
ejpam-5613	765	20	dt	dt	PROPN
ejpam-5613	766	1	+	+	CCONJ
ejpam-5613	766	2	∫	∫	PROPN
ejpam-5613	766	3	d	d	X
ejpam-5613	766	4	v	v	ADP
ejpam-5613	766	5	α	α	PROPN
ejpam-5613	766	6	(	(	PUNCT
ejpam-5613	766	7	a	a	DET
ejpam-5613	766	8	,	,	PUNCT
ejpam-5613	766	9	w	w	NOUN
ejpam-5613	766	10	)	)	PUNCT
ejpam-5613	766	11	(	(	PUNCT
ejpam-5613	766	12	∫	∫	PROPN
ejpam-5613	766	13	u	u	PROPN
ejpam-5613	766	14	a	a	DET
ejpam-5613	766	15	y	y	PROPN
ejpam-5613	766	16	(	(	PUNCT
ejpam-5613	766	17	s	s	PROPN
ejpam-5613	766	18	,	,	PUNCT
ejpam-5613	766	19	w	w	NOUN
ejpam-5613	766	20	)	)	PUNCT
ejpam-5613	766	21	ds	ds	ADJ
ejpam-5613	766	22	)	)	PUNCT
ejpam-5613	766	23	dw	dw	NOUN
ejpam-5613	767	1	−	−	PROPN
ejpam-5613	767	2	∫	∫	PROPN
ejpam-5613	767	3	u	u	PROPN
ejpam-5613	767	4	a	a	DET
ejpam-5613	767	5	∫	∫	PROPN
ejpam-5613	767	6	d	d	X
ejpam-5613	767	7	v	v	ADP
ejpam-5613	767	8	α	α	PROPN
ejpam-5613	767	9	(	(	PUNCT
ejpam-5613	767	10	t	t	PROPN
ejpam-5613	767	11	,	,	PUNCT
ejpam-5613	767	12	w)y	w)y	X
ejpam-5613	767	13	(	(	PUNCT
ejpam-5613	767	14	t	t	PROPN
ejpam-5613	767	15	,	,	PUNCT
ejpam-5613	767	16	w	w	NOUN
ejpam-5613	767	17	)	)	PUNCT
ejpam-5613	767	18	dwdt	dwdt	NOUN
ejpam-5613	767	19	,	,	PUNCT
ejpam-5613	767	20	(	(	PUNCT
ejpam-5613	767	21	2.42	2.42	NUM
ejpam-5613	767	22	)	)	PUNCT
ejpam-5613	767	23	∫	∫	PROPN
ejpam-5613	768	1	b	b	SYM
ejpam-5613	768	2	u	u	PROPN
ejpam-5613	768	3	∫	∫	PROPN
ejpam-5613	768	4	v	v	PROPN
ejpam-5613	768	5	c	c	PROPN
ejpam-5613	768	6	∂2	∂2	PROPN
ejpam-5613	768	7	∂w∂t	∂w∂t	PROPN
ejpam-5613	768	8	α	α	PROPN
ejpam-5613	768	9	(	(	PUNCT
ejpam-5613	768	10	t	t	PROPN
ejpam-5613	768	11	,	,	PUNCT
ejpam-5613	768	12	w	w	NOUN
ejpam-5613	768	13	)	)	PUNCT
ejpam-5613	768	14	(	(	PUNCT
ejpam-5613	768	15	∫	∫	PROPN
ejpam-5613	768	16	t	t	PROPN
ejpam-5613	768	17	u	u	X
ejpam-5613	768	18	∫	∫	PROPN
ejpam-5613	768	19	v	v	PROPN
ejpam-5613	768	20	w	w	PROPN
ejpam-5613	768	21	y	y	PROPN
ejpam-5613	768	22	(	(	PUNCT
ejpam-5613	768	23	s	s	X
ejpam-5613	768	24	,	,	PUNCT
ejpam-5613	768	25	r	r	NOUN
ejpam-5613	768	26	)	)	PUNCT
ejpam-5613	768	27	drds	drd	NOUN
ejpam-5613	768	28	)	)	PUNCT
ejpam-5613	768	29	dwdt	dwdt	NOUN
ejpam-5613	768	30	=	=	SYM
ejpam-5613	768	31	−α	−α	PROPN
ejpam-5613	768	32	(	(	PUNCT
ejpam-5613	768	33	b	b	NOUN
ejpam-5613	768	34	,	,	PUNCT
ejpam-5613	768	35	c	c	NOUN
ejpam-5613	768	36	)	)	PUNCT
ejpam-5613	768	37	(	(	PUNCT
ejpam-5613	768	38	∫	∫	PROPN
ejpam-5613	768	39	b	b	SYM
ejpam-5613	768	40	u	u	PROPN
ejpam-5613	768	41	∫	∫	PROPN
ejpam-5613	768	42	v	v	X
ejpam-5613	768	43	c	c	PROPN
ejpam-5613	768	44	y	y	PROPN
ejpam-5613	768	45	(	(	PUNCT
ejpam-5613	768	46	s	s	X
ejpam-5613	768	47	,	,	PUNCT
ejpam-5613	768	48	r	r	NOUN
ejpam-5613	768	49	)	)	PUNCT
ejpam-5613	768	50	drds	drd	NOUN
ejpam-5613	768	51	)	)	PUNCT
ejpam-5613	769	1	+	+	CCONJ
ejpam-5613	769	2	∫	∫	PROPN
ejpam-5613	769	3	b	b	X
ejpam-5613	769	4	u	u	PROPN
ejpam-5613	769	5	α	α	PROPN
ejpam-5613	769	6	(	(	PUNCT
ejpam-5613	769	7	t	t	PROPN
ejpam-5613	769	8	,	,	PUNCT
ejpam-5613	769	9	c	c	NOUN
ejpam-5613	769	10	)	)	PUNCT
ejpam-5613	769	11	(	(	PUNCT
ejpam-5613	769	12	∫	∫	PROPN
ejpam-5613	769	13	v	v	X
ejpam-5613	769	14	c	c	PROPN
ejpam-5613	769	15	y	y	PROPN
ejpam-5613	769	16	(	(	PUNCT
ejpam-5613	769	17	t	t	PROPN
ejpam-5613	769	18	,	,	PUNCT
ejpam-5613	769	19	r	r	NOUN
ejpam-5613	769	20	)	)	PUNCT
ejpam-5613	769	21	dr	dr	PROPN
ejpam-5613	769	22	)	)	PUNCT
ejpam-5613	769	23	dt	dt	PROPN
ejpam-5613	770	1	+	+	CCONJ
ejpam-5613	771	1	∫	∫	PROPN
ejpam-5613	771	2	v	v	X
ejpam-5613	771	3	c	c	PROPN
ejpam-5613	771	4	α	α	PROPN
ejpam-5613	771	5	(	(	PUNCT
ejpam-5613	771	6	b	b	PROPN
ejpam-5613	771	7	,	,	PUNCT
ejpam-5613	771	8	w	w	NOUN
ejpam-5613	771	9	)	)	PUNCT
ejpam-5613	771	10	(	(	PUNCT
ejpam-5613	771	11	∫	∫	PROPN
ejpam-5613	771	12	b	b	PROPN
ejpam-5613	771	13	u	u	X
ejpam-5613	771	14	y	y	PROPN
ejpam-5613	771	15	(	(	PUNCT
ejpam-5613	771	16	s	s	PROPN
ejpam-5613	771	17	,	,	PUNCT
ejpam-5613	771	18	w	w	NOUN
ejpam-5613	771	19	)	)	PUNCT
ejpam-5613	771	20	ds	ds	ADJ
ejpam-5613	771	21	)	)	PUNCT
ejpam-5613	771	22	dw	dw	NOUN
ejpam-5613	771	23	−	−	PROPN
ejpam-5613	771	24	∫	∫	PROPN
ejpam-5613	772	1	b	b	X
ejpam-5613	772	2	u	u	PROPN
ejpam-5613	772	3	∫	∫	PROPN
ejpam-5613	772	4	v	v	X
ejpam-5613	772	5	c	c	PROPN
ejpam-5613	772	6	α	α	PROPN
ejpam-5613	772	7	(	(	PUNCT
ejpam-5613	772	8	t	t	PROPN
ejpam-5613	772	9	,	,	PUNCT
ejpam-5613	772	10	w)y	w)y	X
ejpam-5613	772	11	(	(	PUNCT
ejpam-5613	772	12	t	t	PROPN
ejpam-5613	772	13	,	,	PUNCT
ejpam-5613	772	14	w	w	NOUN
ejpam-5613	772	15	)	)	PUNCT
ejpam-5613	772	16	dwdt	dwdt	NOUN
ejpam-5613	772	17	(	(	PUNCT
ejpam-5613	772	18	2.43	2.43	NUM
ejpam-5613	772	19	)	)	PUNCT
ejpam-5613	772	20	and	and	CCONJ
ejpam-5613	772	21	∫	∫	PROPN
ejpam-5613	772	22	u	u	PROPN
ejpam-5613	772	23	a	a	DET
ejpam-5613	772	24	∫	∫	PROPN
ejpam-5613	772	25	v	v	ADP
ejpam-5613	772	26	c	c	PROPN
ejpam-5613	772	27	∂2	∂2	PROPN
ejpam-5613	772	28	∂w∂t	∂w∂t	PROPN
ejpam-5613	772	29	α	α	PROPN
ejpam-5613	772	30	(	(	PUNCT
ejpam-5613	772	31	t	t	PROPN
ejpam-5613	772	32	,	,	PUNCT
ejpam-5613	772	33	w	w	PROPN
ejpam-5613	772	34	)	)	PUNCT
ejpam-5613	772	35	(	(	PUNCT
ejpam-5613	772	36	∫	∫	PROPN
ejpam-5613	772	37	u	u	X
ejpam-5613	772	38	t	t	PROPN
ejpam-5613	772	39	∫	∫	PROPN
ejpam-5613	772	40	v	v	PROPN
ejpam-5613	772	41	w	w	PROPN
ejpam-5613	772	42	y	y	PROPN
ejpam-5613	772	43	(	(	PUNCT
ejpam-5613	772	44	s	s	X
ejpam-5613	772	45	,	,	PUNCT
ejpam-5613	772	46	r	r	NOUN
ejpam-5613	772	47	)	)	PUNCT
ejpam-5613	772	48	drds	drd	NOUN
ejpam-5613	772	49	)	)	PUNCT
ejpam-5613	772	50	dwdt	dwdt	NOUN
ejpam-5613	772	51	=	=	SYM
ejpam-5613	772	52	α	α	PROPN
ejpam-5613	772	53	(	(	PUNCT
ejpam-5613	772	54	a	a	DET
ejpam-5613	772	55	,	,	PUNCT
ejpam-5613	772	56	c	c	NOUN
ejpam-5613	772	57	)	)	PUNCT
ejpam-5613	772	58	(	(	PUNCT
ejpam-5613	772	59	∫	∫	PROPN
ejpam-5613	772	60	u	u	PROPN
ejpam-5613	772	61	a	a	DET
ejpam-5613	772	62	∫	∫	PROPN
ejpam-5613	772	63	v	v	ADP
ejpam-5613	772	64	c	c	PROPN
ejpam-5613	772	65	y	y	PROPN
ejpam-5613	772	66	(	(	PUNCT
ejpam-5613	772	67	s	s	X
ejpam-5613	772	68	,	,	PUNCT
ejpam-5613	772	69	r	r	NOUN
ejpam-5613	772	70	)	)	PUNCT
ejpam-5613	772	71	drds	drd	NOUN
ejpam-5613	772	72	)	)	PUNCT
ejpam-5613	772	73	−	−	NUM
ejpam-5613	773	1	∫	∫	PROPN
ejpam-5613	773	2	u	u	PROPN
ejpam-5613	773	3	a	a	DET
ejpam-5613	773	4	α	α	PROPN
ejpam-5613	773	5	(	(	PUNCT
ejpam-5613	773	6	t	t	PROPN
ejpam-5613	773	7	,	,	PUNCT
ejpam-5613	773	8	c	c	NOUN
ejpam-5613	773	9	)	)	PUNCT
ejpam-5613	773	10	(	(	PUNCT
ejpam-5613	773	11	∫	∫	PROPN
ejpam-5613	773	12	v	v	X
ejpam-5613	773	13	c	c	PROPN
ejpam-5613	773	14	y	y	PROPN
ejpam-5613	773	15	(	(	PUNCT
ejpam-5613	773	16	t	t	PROPN
ejpam-5613	773	17	,	,	PUNCT
ejpam-5613	773	18	r	r	NOUN
ejpam-5613	773	19	)	)	PUNCT
ejpam-5613	773	20	dr	dr	PROPN
ejpam-5613	773	21	)	)	PUNCT
ejpam-5613	773	22	dt	dt	PROPN
ejpam-5613	774	1	−	−	PROPN
ejpam-5613	774	2	∫	∫	PROPN
ejpam-5613	774	3	v	v	X
ejpam-5613	774	4	c	c	NOUN
ejpam-5613	774	5	α	α	PROPN
ejpam-5613	774	6	(	(	PUNCT
ejpam-5613	774	7	a	a	DET
ejpam-5613	774	8	,	,	PUNCT
ejpam-5613	774	9	w	w	NOUN
ejpam-5613	774	10	)	)	PUNCT
ejpam-5613	774	11	(	(	PUNCT
ejpam-5613	774	12	∫	∫	PROPN
ejpam-5613	774	13	u	u	PROPN
ejpam-5613	774	14	a	a	DET
ejpam-5613	774	15	y	y	PROPN
ejpam-5613	774	16	(	(	PUNCT
ejpam-5613	774	17	s	s	PROPN
ejpam-5613	774	18	,	,	PUNCT
ejpam-5613	774	19	w	w	NOUN
ejpam-5613	774	20	)	)	PUNCT
ejpam-5613	774	21	ds	ds	ADJ
ejpam-5613	774	22	)	)	PUNCT
ejpam-5613	774	23	dw	dw	PROPN
ejpam-5613	775	1	+	+	CCONJ
ejpam-5613	775	2	∫	∫	PROPN
ejpam-5613	775	3	u	u	PROPN
ejpam-5613	775	4	a	a	DET
ejpam-5613	775	5	∫	∫	PROPN
ejpam-5613	775	6	v	v	NOUN
ejpam-5613	775	7	c	c	NOUN
ejpam-5613	775	8	α	α	PROPN
ejpam-5613	775	9	(	(	PUNCT
ejpam-5613	775	10	t	t	PROPN
ejpam-5613	775	11	,	,	PUNCT
ejpam-5613	775	12	w)y	w)y	X
ejpam-5613	775	13	(	(	PUNCT
ejpam-5613	775	14	t	t	PROPN
ejpam-5613	775	15	,	,	PUNCT
ejpam-5613	775	16	w	w	NOUN
ejpam-5613	775	17	)	)	PUNCT
ejpam-5613	775	18	dwdt	dwdt	NOUN
ejpam-5613	775	19	.	.	PUNCT
ejpam-5613	776	1	(	(	PUNCT
ejpam-5613	776	2	2.44	2.44	NUM
ejpam-5613	776	3	)	)	PUNCT
ejpam-5613	776	4	from	from	ADP
ejpam-5613	776	5	(	(	PUNCT
ejpam-5613	776	6	2.41)-(2.44	2.41)-(2.44	NUM
ejpam-5613	776	7	)	)	PUNCT
ejpam-5613	776	8	,	,	PUNCT
ejpam-5613	776	9	we	we	PRON
ejpam-5613	776	10	have	have	VERB
ejpam-5613	776	11	the	the	DET
ejpam-5613	776	12	following	follow	VERB
ejpam-5613	776	13	equality:∫	equality:∫	ADJ
ejpam-5613	776	14	b	b	SYM
ejpam-5613	776	15	u	u	NOUN
ejpam-5613	776	16	∫	∫	PROPN
ejpam-5613	776	17	d	d	X
ejpam-5613	776	18	v	v	PROPN
ejpam-5613	776	19	∂2	∂2	PROPN
ejpam-5613	776	20	∂w∂t	∂w∂t	INTJ
ejpam-5613	776	21	α	α	PROPN
ejpam-5613	776	22	(	(	PUNCT
ejpam-5613	776	23	t	t	PROPN
ejpam-5613	776	24	,	,	PUNCT
ejpam-5613	776	25	w	w	NOUN
ejpam-5613	776	26	)	)	PUNCT
ejpam-5613	776	27	(	(	PUNCT
ejpam-5613	776	28	∫	∫	PROPN
ejpam-5613	776	29	t	t	PROPN
ejpam-5613	776	30	u	u	X
ejpam-5613	776	31	∫	∫	PROPN
ejpam-5613	776	32	w	w	PROPN
ejpam-5613	776	33	v	v	PROPN
ejpam-5613	776	34	y	y	PROPN
ejpam-5613	776	35	(	(	PUNCT
ejpam-5613	776	36	s	s	X
ejpam-5613	776	37	,	,	PUNCT
ejpam-5613	776	38	r	r	NOUN
ejpam-5613	776	39	)	)	PUNCT
ejpam-5613	776	40	drds	drd	NOUN
ejpam-5613	776	41	)	)	PUNCT
ejpam-5613	776	42	dwdt	dwdt	NOUN
ejpam-5613	776	43	−	−	PROPN
ejpam-5613	776	44	∫	∫	PROPN
ejpam-5613	776	45	u	u	PROPN
ejpam-5613	776	46	a	a	DET
ejpam-5613	776	47	∫	∫	PROPN
ejpam-5613	777	1	d	d	X
ejpam-5613	777	2	v	v	PROPN
ejpam-5613	777	3	∂2	∂2	PROPN
ejpam-5613	777	4	∂w∂t	∂w∂t	INTJ
ejpam-5613	777	5	α	α	PROPN
ejpam-5613	777	6	(	(	PUNCT
ejpam-5613	777	7	t	t	PROPN
ejpam-5613	777	8	,	,	PUNCT
ejpam-5613	777	9	w	w	PROPN
ejpam-5613	777	10	)	)	PUNCT
ejpam-5613	777	11	(	(	PUNCT
ejpam-5613	777	12	∫	∫	PROPN
ejpam-5613	777	13	u	u	X
ejpam-5613	777	14	t	t	PROPN
ejpam-5613	777	15	∫	∫	PROPN
ejpam-5613	777	16	w	w	PROPN
ejpam-5613	777	17	v	v	PROPN
ejpam-5613	777	18	y	y	PROPN
ejpam-5613	777	19	(	(	PUNCT
ejpam-5613	777	20	s	s	X
ejpam-5613	777	21	,	,	PUNCT
ejpam-5613	777	22	r	r	NOUN
ejpam-5613	777	23	)	)	PUNCT
ejpam-5613	777	24	drds	drd	NOUN
ejpam-5613	777	25	)	)	PUNCT
ejpam-5613	777	26	dwdt	dwdt	NOUN
ejpam-5613	777	27	−	−	PROPN
ejpam-5613	777	28	∫	∫	PROPN
ejpam-5613	777	29	b	b	PROPN
ejpam-5613	777	30	u	u	PROPN
ejpam-5613	777	31	∫	∫	PROPN
ejpam-5613	777	32	v	v	PROPN
ejpam-5613	777	33	c	c	PROPN
ejpam-5613	777	34	∂2	∂2	PROPN
ejpam-5613	777	35	∂w∂t	∂w∂t	PROPN
ejpam-5613	777	36	α	α	PROPN
ejpam-5613	777	37	(	(	PUNCT
ejpam-5613	777	38	t	t	PROPN
ejpam-5613	777	39	,	,	PUNCT
ejpam-5613	777	40	w	w	NOUN
ejpam-5613	777	41	)	)	PUNCT
ejpam-5613	777	42	(	(	PUNCT
ejpam-5613	777	43	∫	∫	PROPN
ejpam-5613	777	44	t	t	PROPN
ejpam-5613	777	45	u	u	X
ejpam-5613	777	46	∫	∫	PROPN
ejpam-5613	777	47	v	v	PROPN
ejpam-5613	777	48	w	w	PROPN
ejpam-5613	777	49	y	y	PROPN
ejpam-5613	777	50	(	(	PUNCT
ejpam-5613	777	51	s	s	X
ejpam-5613	777	52	,	,	PUNCT
ejpam-5613	777	53	r	r	NOUN
ejpam-5613	777	54	)	)	PUNCT
ejpam-5613	777	55	drds	drd	NOUN
ejpam-5613	777	56	)	)	PUNCT
ejpam-5613	777	57	dwdt	dwdt	NOUN
ejpam-5613	777	58	+	+	CCONJ
ejpam-5613	777	59	∫	∫	PROPN
ejpam-5613	777	60	u	u	PROPN
ejpam-5613	777	61	a	a	DET
ejpam-5613	777	62	∫	∫	PROPN
ejpam-5613	777	63	v	v	ADP
ejpam-5613	777	64	c	c	PROPN
ejpam-5613	777	65	∂2	∂2	PROPN
ejpam-5613	777	66	∂w∂t	∂w∂t	PROPN
ejpam-5613	777	67	α	α	PROPN
ejpam-5613	777	68	(	(	PUNCT
ejpam-5613	777	69	t	t	PROPN
ejpam-5613	777	70	,	,	PUNCT
ejpam-5613	777	71	w	w	PROPN
ejpam-5613	777	72	)	)	PUNCT
ejpam-5613	777	73	(	(	PUNCT
ejpam-5613	777	74	∫	∫	PROPN
ejpam-5613	777	75	u	u	X
ejpam-5613	777	76	t	t	PROPN
ejpam-5613	777	77	∫	∫	PROPN
ejpam-5613	777	78	v	v	PROPN
ejpam-5613	777	79	w	w	PROPN
ejpam-5613	777	80	y	y	PROPN
ejpam-5613	777	81	(	(	PUNCT
ejpam-5613	777	82	s	s	X
ejpam-5613	777	83	,	,	PUNCT
ejpam-5613	777	84	r	r	NOUN
ejpam-5613	777	85	)	)	PUNCT
ejpam-5613	777	86	drds	drd	NOUN
ejpam-5613	777	87	)	)	PUNCT
ejpam-5613	777	88	dwdt	dwdt	NOUN
ejpam-5613	778	1	=	=	SYM
ejpam-5613	778	2	α	α	PROPN
ejpam-5613	778	3	(	(	PUNCT
ejpam-5613	778	4	b	b	NOUN
ejpam-5613	778	5	,	,	PUNCT
ejpam-5613	778	6	d	d	NOUN
ejpam-5613	778	7	)	)	PUNCT
ejpam-5613	778	8	(	(	PUNCT
ejpam-5613	778	9	∫	∫	PROPN
ejpam-5613	778	10	b	b	X
ejpam-5613	778	11	u	u	PROPN
ejpam-5613	778	12	∫	∫	PROPN
ejpam-5613	779	1	d	d	X
ejpam-5613	779	2	v	v	PROPN
ejpam-5613	779	3	y	y	PROPN
ejpam-5613	779	4	(	(	PUNCT
ejpam-5613	779	5	s	s	X
ejpam-5613	779	6	,	,	PUNCT
ejpam-5613	779	7	r	r	NOUN
ejpam-5613	779	8	)	)	PUNCT
ejpam-5613	779	9	drds	drd	NOUN
ejpam-5613	779	10	)	)	PUNCT
ejpam-5613	780	1	+	+	CCONJ
ejpam-5613	780	2	α	α	X
ejpam-5613	780	3	(	(	PUNCT
ejpam-5613	780	4	a	a	DET
ejpam-5613	780	5	,	,	PUNCT
ejpam-5613	780	6	d	d	NOUN
ejpam-5613	780	7	)	)	PUNCT
ejpam-5613	780	8	(	(	PUNCT
ejpam-5613	780	9	∫	∫	PROPN
ejpam-5613	780	10	u	u	PROPN
ejpam-5613	780	11	a	a	DET
ejpam-5613	780	12	∫	∫	PROPN
ejpam-5613	780	13	d	d	X
ejpam-5613	780	14	v	v	PROPN
ejpam-5613	780	15	y	y	PROPN
ejpam-5613	780	16	(	(	PUNCT
ejpam-5613	780	17	s	s	X
ejpam-5613	780	18	,	,	PUNCT
ejpam-5613	780	19	r	r	NOUN
ejpam-5613	780	20	)	)	PUNCT
ejpam-5613	780	21	drds	drd	NOUN
ejpam-5613	780	22	)	)	PUNCT
ejpam-5613	780	23	o.	o.	PROPN
ejpam-5613	780	24	b.	b.	PROPN
ejpam-5613	780	25	almutairi	almutairi	PROPN
ejpam-5613	780	26	,	,	PUNCT
ejpam-5613	780	27	m.	m.	NOUN
ejpam-5613	780	28	a.	a.	PROPN
ejpam-5613	780	29	latif	latif	PROPN
ejpam-5613	780	30	/	/	SYM
ejpam-5613	780	31	eur	eur	PROPN
ejpam-5613	780	32	.	.	PUNCT
ejpam-5613	781	1	j.	j.	PROPN
ejpam-5613	781	2	pure	pure	PROPN
ejpam-5613	781	3	appl	appl	PROPN
ejpam-5613	781	4	.	.	PROPN
ejpam-5613	781	5	math	math	PROPN
ejpam-5613	781	6	,	,	PUNCT
ejpam-5613	781	7	18	18	NUM
ejpam-5613	781	8	(	(	PUNCT
ejpam-5613	781	9	1	1	NUM
ejpam-5613	781	10	)	)	PUNCT
ejpam-5613	781	11	(	(	PUNCT
ejpam-5613	781	12	2025	2025	NUM
ejpam-5613	781	13	)	)	PUNCT
ejpam-5613	781	14	,	,	PUNCT
ejpam-5613	781	15	5608	5608	NUM
ejpam-5613	781	16	31	31	NUM
ejpam-5613	781	17	of	of	ADP
ejpam-5613	781	18	33	33	NUM
ejpam-5613	781	19	+	+	NUM
ejpam-5613	781	20	α	α	PROPN
ejpam-5613	781	21	(	(	PUNCT
ejpam-5613	781	22	b	b	NOUN
ejpam-5613	781	23	,	,	PUNCT
ejpam-5613	781	24	c	c	NOUN
ejpam-5613	781	25	)	)	PUNCT
ejpam-5613	781	26	(	(	PUNCT
ejpam-5613	781	27	∫	∫	PROPN
ejpam-5613	781	28	b	b	SYM
ejpam-5613	781	29	u	u	PROPN
ejpam-5613	781	30	∫	∫	PROPN
ejpam-5613	781	31	v	v	X
ejpam-5613	781	32	c	c	PROPN
ejpam-5613	781	33	y	y	PROPN
ejpam-5613	781	34	(	(	PUNCT
ejpam-5613	781	35	s	s	X
ejpam-5613	781	36	,	,	PUNCT
ejpam-5613	781	37	r	r	NOUN
ejpam-5613	781	38	)	)	PUNCT
ejpam-5613	781	39	drds	drd	NOUN
ejpam-5613	781	40	)	)	PUNCT
ejpam-5613	782	1	+	+	CCONJ
ejpam-5613	782	2	α	α	X
ejpam-5613	782	3	(	(	PUNCT
ejpam-5613	782	4	a	a	PRON
ejpam-5613	782	5	,	,	PUNCT
ejpam-5613	782	6	c	c	NOUN
ejpam-5613	782	7	)	)	PUNCT
ejpam-5613	782	8	(	(	PUNCT
ejpam-5613	782	9	∫	∫	PROPN
ejpam-5613	782	10	u	u	PROPN
ejpam-5613	782	11	a	a	DET
ejpam-5613	782	12	∫	∫	PROPN
ejpam-5613	782	13	v	v	ADP
ejpam-5613	782	14	c	c	PROPN
ejpam-5613	782	15	y	y	PROPN
ejpam-5613	782	16	(	(	PUNCT
ejpam-5613	782	17	s	s	X
ejpam-5613	782	18	,	,	PUNCT
ejpam-5613	782	19	r	r	NOUN
ejpam-5613	782	20	)	)	PUNCT
ejpam-5613	782	21	drds	drd	NOUN
ejpam-5613	782	22	)	)	PUNCT
ejpam-5613	782	23	−	−	ADP
ejpam-5613	783	1	∫	∫	PROPN
ejpam-5613	783	2	b	b	PROPN
ejpam-5613	783	3	a	a	DET
ejpam-5613	783	4	α	α	PROPN
ejpam-5613	783	5	(	(	PUNCT
ejpam-5613	783	6	t	t	PROPN
ejpam-5613	783	7	,	,	PUNCT
ejpam-5613	783	8	d	d	NOUN
ejpam-5613	783	9	)	)	PUNCT
ejpam-5613	783	10	(	(	PUNCT
ejpam-5613	783	11	∫	∫	PROPN
ejpam-5613	783	12	d	d	X
ejpam-5613	783	13	v	v	PROPN
ejpam-5613	783	14	y	y	PROPN
ejpam-5613	783	15	(	(	PUNCT
ejpam-5613	783	16	t	t	PROPN
ejpam-5613	783	17	,	,	PUNCT
ejpam-5613	783	18	r	r	NOUN
ejpam-5613	783	19	)	)	PUNCT
ejpam-5613	783	20	dr	dr	PROPN
ejpam-5613	783	21	)	)	PUNCT
ejpam-5613	783	22	dt−	dt−	PROPN
ejpam-5613	783	23	∫	∫	PROPN
ejpam-5613	783	24	b	b	PROPN
ejpam-5613	783	25	a	a	DET
ejpam-5613	783	26	α	α	PROPN
ejpam-5613	783	27	(	(	PUNCT
ejpam-5613	783	28	t	t	PROPN
ejpam-5613	783	29	,	,	PUNCT
ejpam-5613	783	30	c	c	NOUN
ejpam-5613	783	31	)	)	PUNCT
ejpam-5613	783	32	(	(	PUNCT
ejpam-5613	783	33	∫	∫	PROPN
ejpam-5613	783	34	v	v	X
ejpam-5613	783	35	c	c	PROPN
ejpam-5613	783	36	y	y	PROPN
ejpam-5613	783	37	(	(	PUNCT
ejpam-5613	783	38	t	t	PROPN
ejpam-5613	783	39	,	,	PUNCT
ejpam-5613	783	40	r	r	NOUN
ejpam-5613	783	41	)	)	PUNCT
ejpam-5613	783	42	dr	dr	PROPN
ejpam-5613	783	43	)	)	PUNCT
ejpam-5613	783	44	dt	dt	PROPN
ejpam-5613	784	1	−	−	PROPN
ejpam-5613	784	2	∫	∫	PROPN
ejpam-5613	785	1	d	d	X
ejpam-5613	785	2	c	c	PROPN
ejpam-5613	785	3	α	α	PROPN
ejpam-5613	785	4	(	(	PUNCT
ejpam-5613	785	5	b	b	NOUN
ejpam-5613	785	6	,	,	PUNCT
ejpam-5613	785	7	w	w	NOUN
ejpam-5613	785	8	)	)	PUNCT
ejpam-5613	785	9	(	(	PUNCT
ejpam-5613	785	10	∫	∫	PROPN
ejpam-5613	785	11	b	b	PROPN
ejpam-5613	785	12	u	u	X
ejpam-5613	785	13	y	y	PROPN
ejpam-5613	785	14	(	(	PUNCT
ejpam-5613	785	15	s	s	PROPN
ejpam-5613	785	16	,	,	PUNCT
ejpam-5613	785	17	w	w	NOUN
ejpam-5613	785	18	)	)	PUNCT
ejpam-5613	785	19	ds	ds	ADJ
ejpam-5613	785	20	)	)	PUNCT
ejpam-5613	785	21	dw	dw	NOUN
ejpam-5613	786	1	−	−	PROPN
ejpam-5613	786	2	∫	∫	PROPN
ejpam-5613	787	1	d	d	X
ejpam-5613	787	2	c	c	PROPN
ejpam-5613	787	3	α	α	PROPN
ejpam-5613	787	4	(	(	PUNCT
ejpam-5613	787	5	a	a	DET
ejpam-5613	787	6	,	,	PUNCT
ejpam-5613	787	7	w	w	NOUN
ejpam-5613	787	8	)	)	PUNCT
ejpam-5613	787	9	(	(	PUNCT
ejpam-5613	787	10	∫	∫	PROPN
ejpam-5613	787	11	u	u	PROPN
ejpam-5613	787	12	a	a	DET
ejpam-5613	787	13	y	y	PROPN
ejpam-5613	787	14	(	(	PUNCT
ejpam-5613	787	15	s	s	PROPN
ejpam-5613	787	16	,	,	PUNCT
ejpam-5613	787	17	w	w	NOUN
ejpam-5613	787	18	)	)	PUNCT
ejpam-5613	787	19	ds	ds	ADJ
ejpam-5613	787	20	)	)	PUNCT
ejpam-5613	787	21	dw	dw	PROPN
ejpam-5613	788	1	+	+	CCONJ
ejpam-5613	788	2	∫	∫	PROPN
ejpam-5613	788	3	b	b	PROPN
ejpam-5613	788	4	a	a	DET
ejpam-5613	788	5	∫	∫	PROPN
ejpam-5613	788	6	d	d	X
ejpam-5613	788	7	c	c	PROPN
ejpam-5613	788	8	α	α	PROPN
ejpam-5613	788	9	(	(	PUNCT
ejpam-5613	788	10	t	t	PROPN
ejpam-5613	788	11	,	,	PUNCT
ejpam-5613	788	12	w)y	w)y	X
ejpam-5613	788	13	(	(	PUNCT
ejpam-5613	788	14	t	t	PROPN
ejpam-5613	788	15	,	,	PUNCT
ejpam-5613	788	16	w	w	NOUN
ejpam-5613	788	17	)	)	PUNCT
ejpam-5613	788	18	dwdt	dwdt	NOUN
ejpam-5613	788	19	(	(	PUNCT
ejpam-5613	788	20	2.45	2.45	NUM
ejpam-5613	788	21	)	)	PUNCT
ejpam-5613	788	22	by	by	ADP
ejpam-5613	788	23	taking	take	VERB
ejpam-5613	788	24	the	the	DET
ejpam-5613	788	25	norm	norm	NOUN
ejpam-5613	788	26	∥·∥e1×e2	∥·∥e1×e2	PROPN
ejpam-5613	788	27	on	on	ADP
ejpam-5613	788	28	both	both	DET
ejpam-5613	788	29	sides	side	NOUN
ejpam-5613	788	30	(	(	PUNCT
ejpam-5613	788	31	2.6	2.6	NUM
ejpam-5613	788	32	)	)	PUNCT
ejpam-5613	788	33	,	,	PUNCT
ejpam-5613	788	34	we	we	PRON
ejpam-5613	788	35	get∥∥∥∥α	get∥∥∥∥α	VERB
ejpam-5613	788	36	(	(	PUNCT
ejpam-5613	788	37	b	b	NOUN
ejpam-5613	788	38	,	,	PUNCT
ejpam-5613	788	39	d	d	NOUN
ejpam-5613	788	40	)	)	PUNCT
ejpam-5613	788	41	(	(	PUNCT
ejpam-5613	788	42	∫	∫	PROPN
ejpam-5613	788	43	b	b	X
ejpam-5613	788	44	u	u	PROPN
ejpam-5613	788	45	∫	∫	PROPN
ejpam-5613	788	46	d	d	X
ejpam-5613	788	47	v	v	PROPN
ejpam-5613	788	48	y	y	PROPN
ejpam-5613	788	49	(	(	PUNCT
ejpam-5613	788	50	s	s	X
ejpam-5613	788	51	,	,	PUNCT
ejpam-5613	788	52	r	r	NOUN
ejpam-5613	788	53	)	)	PUNCT
ejpam-5613	788	54	drds	drd	NOUN
ejpam-5613	788	55	)	)	PUNCT
ejpam-5613	789	1	+	+	CCONJ
ejpam-5613	789	2	α	α	X
ejpam-5613	789	3	(	(	PUNCT
ejpam-5613	789	4	a	a	DET
ejpam-5613	789	5	,	,	PUNCT
ejpam-5613	789	6	d	d	NOUN
ejpam-5613	789	7	)	)	PUNCT
ejpam-5613	789	8	(	(	PUNCT
ejpam-5613	789	9	∫	∫	PROPN
ejpam-5613	789	10	u	u	PROPN
ejpam-5613	789	11	a	a	DET
ejpam-5613	789	12	∫	∫	PROPN
ejpam-5613	789	13	d	d	X
ejpam-5613	789	14	v	v	PROPN
ejpam-5613	789	15	y	y	PROPN
ejpam-5613	789	16	(	(	PUNCT
ejpam-5613	789	17	s	s	X
ejpam-5613	789	18	,	,	PUNCT
ejpam-5613	789	19	r	r	NOUN
ejpam-5613	789	20	)	)	PUNCT
ejpam-5613	789	21	drds	drd	NOUN
ejpam-5613	789	22	)	)	PUNCT
ejpam-5613	790	1	+	+	CCONJ
ejpam-5613	790	2	α	α	PROPN
ejpam-5613	790	3	(	(	PUNCT
ejpam-5613	790	4	b	b	NOUN
ejpam-5613	790	5	,	,	PUNCT
ejpam-5613	790	6	c	c	NOUN
ejpam-5613	790	7	)	)	PUNCT
ejpam-5613	790	8	(	(	PUNCT
ejpam-5613	790	9	∫	∫	PROPN
ejpam-5613	790	10	b	b	SYM
ejpam-5613	790	11	u	u	PROPN
ejpam-5613	790	12	∫	∫	PROPN
ejpam-5613	790	13	v	v	X
ejpam-5613	790	14	c	c	PROPN
ejpam-5613	790	15	y	y	PROPN
ejpam-5613	790	16	(	(	PUNCT
ejpam-5613	790	17	s	s	X
ejpam-5613	790	18	,	,	PUNCT
ejpam-5613	790	19	r	r	NOUN
ejpam-5613	790	20	)	)	PUNCT
ejpam-5613	790	21	drds	drd	NOUN
ejpam-5613	790	22	)	)	PUNCT
ejpam-5613	791	1	+	+	CCONJ
ejpam-5613	791	2	α	α	X
ejpam-5613	791	3	(	(	PUNCT
ejpam-5613	791	4	a	a	PRON
ejpam-5613	791	5	,	,	PUNCT
ejpam-5613	791	6	c	c	NOUN
ejpam-5613	791	7	)	)	PUNCT
ejpam-5613	791	8	(	(	PUNCT
ejpam-5613	791	9	∫	∫	PROPN
ejpam-5613	791	10	u	u	PROPN
ejpam-5613	791	11	a	a	DET
ejpam-5613	791	12	∫	∫	PROPN
ejpam-5613	791	13	v	v	ADP
ejpam-5613	791	14	c	c	PROPN
ejpam-5613	791	15	y	y	PROPN
ejpam-5613	791	16	(	(	PUNCT
ejpam-5613	791	17	s	s	X
ejpam-5613	791	18	,	,	PUNCT
ejpam-5613	791	19	r	r	NOUN
ejpam-5613	791	20	)	)	PUNCT
ejpam-5613	791	21	drds	drd	NOUN
ejpam-5613	791	22	)	)	PUNCT
ejpam-5613	791	23	−	−	ADP
ejpam-5613	792	1	∫	∫	PROPN
ejpam-5613	792	2	b	b	PROPN
ejpam-5613	792	3	a	a	DET
ejpam-5613	792	4	α	α	PROPN
ejpam-5613	792	5	(	(	PUNCT
ejpam-5613	792	6	t	t	PROPN
ejpam-5613	792	7	,	,	PUNCT
ejpam-5613	792	8	d	d	NOUN
ejpam-5613	792	9	)	)	PUNCT
ejpam-5613	792	10	(	(	PUNCT
ejpam-5613	792	11	∫	∫	PROPN
ejpam-5613	792	12	d	d	X
ejpam-5613	792	13	v	v	PROPN
ejpam-5613	792	14	y	y	PROPN
ejpam-5613	792	15	(	(	PUNCT
ejpam-5613	792	16	t	t	PROPN
ejpam-5613	792	17	,	,	PUNCT
ejpam-5613	792	18	r	r	NOUN
ejpam-5613	792	19	)	)	PUNCT
ejpam-5613	792	20	dr	dr	PROPN
ejpam-5613	792	21	)	)	PUNCT
ejpam-5613	792	22	dt−	dt−	PROPN
ejpam-5613	792	23	∫	∫	PROPN
ejpam-5613	792	24	b	b	PROPN
ejpam-5613	792	25	a	a	DET
ejpam-5613	792	26	α	α	PROPN
ejpam-5613	792	27	(	(	PUNCT
ejpam-5613	792	28	t	t	PROPN
ejpam-5613	792	29	,	,	PUNCT
ejpam-5613	792	30	c	c	NOUN
ejpam-5613	792	31	)	)	PUNCT
ejpam-5613	792	32	(	(	PUNCT
ejpam-5613	792	33	∫	∫	PROPN
ejpam-5613	792	34	v	v	X
ejpam-5613	792	35	c	c	PROPN
ejpam-5613	792	36	y	y	PROPN
ejpam-5613	792	37	(	(	PUNCT
ejpam-5613	792	38	t	t	PROPN
ejpam-5613	792	39	,	,	PUNCT
ejpam-5613	792	40	r	r	NOUN
ejpam-5613	792	41	)	)	PUNCT
ejpam-5613	792	42	dr	dr	PROPN
ejpam-5613	792	43	)	)	PUNCT
ejpam-5613	792	44	dt	dt	PROPN
ejpam-5613	793	1	−	−	PROPN
ejpam-5613	793	2	∫	∫	PROPN
ejpam-5613	794	1	d	d	X
ejpam-5613	794	2	c	c	PROPN
ejpam-5613	794	3	α	α	PROPN
ejpam-5613	794	4	(	(	PUNCT
ejpam-5613	794	5	b	b	NOUN
ejpam-5613	794	6	,	,	PUNCT
ejpam-5613	794	7	w	w	NOUN
ejpam-5613	794	8	)	)	PUNCT
ejpam-5613	794	9	(	(	PUNCT
ejpam-5613	794	10	∫	∫	PROPN
ejpam-5613	794	11	b	b	PROPN
ejpam-5613	794	12	u	u	X
ejpam-5613	794	13	y	y	PROPN
ejpam-5613	794	14	(	(	PUNCT
ejpam-5613	794	15	s	s	PROPN
ejpam-5613	794	16	,	,	PUNCT
ejpam-5613	794	17	w	w	NOUN
ejpam-5613	794	18	)	)	PUNCT
ejpam-5613	794	19	ds	ds	ADJ
ejpam-5613	794	20	)	)	PUNCT
ejpam-5613	794	21	dw	dw	NOUN
ejpam-5613	795	1	−	−	PROPN
ejpam-5613	795	2	∫	∫	PROPN
ejpam-5613	796	1	d	d	X
ejpam-5613	796	2	c	c	PROPN
ejpam-5613	796	3	α	α	PROPN
ejpam-5613	796	4	(	(	PUNCT
ejpam-5613	796	5	a	a	DET
ejpam-5613	796	6	,	,	PUNCT
ejpam-5613	796	7	w	w	NOUN
ejpam-5613	796	8	)	)	PUNCT
ejpam-5613	796	9	(	(	PUNCT
ejpam-5613	796	10	∫	∫	PROPN
ejpam-5613	796	11	u	u	PROPN
ejpam-5613	796	12	a	a	DET
ejpam-5613	796	13	y	y	PROPN
ejpam-5613	796	14	(	(	PUNCT
ejpam-5613	796	15	s	s	PROPN
ejpam-5613	796	16	,	,	PUNCT
ejpam-5613	796	17	w	w	NOUN
ejpam-5613	796	18	)	)	PUNCT
ejpam-5613	796	19	ds	ds	ADJ
ejpam-5613	796	20	)	)	PUNCT
ejpam-5613	796	21	dw	dw	PROPN
ejpam-5613	797	1	+	+	CCONJ
ejpam-5613	797	2	∫	∫	PROPN
ejpam-5613	798	1	b	b	PROPN
ejpam-5613	798	2	a	a	DET
ejpam-5613	798	3	∫	∫	PROPN
ejpam-5613	798	4	d	d	X
ejpam-5613	798	5	c	c	PROPN
ejpam-5613	798	6	α	α	PROPN
ejpam-5613	798	7	(	(	PUNCT
ejpam-5613	798	8	t	t	PROPN
ejpam-5613	798	9	,	,	PUNCT
ejpam-5613	798	10	w)y	w)y	X
ejpam-5613	798	11	(	(	PUNCT
ejpam-5613	798	12	t	t	PROPN
ejpam-5613	798	13	,	,	PUNCT
ejpam-5613	798	14	w	w	NOUN
ejpam-5613	798	15	)	)	PUNCT
ejpam-5613	798	16	dwdt	dwdt	NOUN
ejpam-5613	798	17	∥∥∥∥	∥∥∥∥	NUM
ejpam-5613	798	18	e1×e2	e1×e2	VERB
ejpam-5613	798	19	≤	≤	NUM
ejpam-5613	798	20	∫	∫	PROPN
ejpam-5613	798	21	b	b	SYM
ejpam-5613	798	22	u	u	PROPN
ejpam-5613	798	23	∫	∫	PROPN
ejpam-5613	798	24	d	d	NOUN
ejpam-5613	798	25	v	v	ADP
ejpam-5613	798	26	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	798	27	∂2	∂2	NOUN
ejpam-5613	798	28	∂w∂t	∂w∂t	NOUN
ejpam-5613	798	29	α	α	PROPN
ejpam-5613	798	30	(	(	PUNCT
ejpam-5613	798	31	t	t	PROPN
ejpam-5613	798	32	,	,	PUNCT
ejpam-5613	798	33	w	w	NOUN
ejpam-5613	798	34	)	)	PUNCT
ejpam-5613	798	35	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	798	36	(	(	PUNCT
ejpam-5613	798	37	∫	∫	PROPN
ejpam-5613	798	38	t	t	PROPN
ejpam-5613	798	39	u	u	X
ejpam-5613	798	40	∫	∫	PROPN
ejpam-5613	798	41	w	w	PROPN
ejpam-5613	798	42	v	v	ADP
ejpam-5613	798	43	∥y	∥y	PROPN
ejpam-5613	798	44	(	(	PUNCT
ejpam-5613	798	45	s	s	X
ejpam-5613	798	46	,	,	PUNCT
ejpam-5613	798	47	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	798	48	drds	drd	NOUN
ejpam-5613	798	49	)	)	PUNCT
ejpam-5613	798	50	dwdt	dwdt	NOUN
ejpam-5613	798	51	+	+	CCONJ
ejpam-5613	798	52	∫	∫	PROPN
ejpam-5613	798	53	u	u	PROPN
ejpam-5613	798	54	a	a	DET
ejpam-5613	798	55	∫	∫	PROPN
ejpam-5613	798	56	d	d	X
ejpam-5613	798	57	v	v	NOUN
ejpam-5613	798	58	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	798	59	∂2	∂2	NOUN
ejpam-5613	798	60	∂w∂t	∂w∂t	NOUN
ejpam-5613	798	61	α	α	PROPN
ejpam-5613	798	62	(	(	PUNCT
ejpam-5613	798	63	t	t	PROPN
ejpam-5613	798	64	,	,	PUNCT
ejpam-5613	798	65	w	w	NOUN
ejpam-5613	798	66	)	)	PUNCT
ejpam-5613	798	67	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	798	68	(	(	PUNCT
ejpam-5613	798	69	∫	∫	PROPN
ejpam-5613	798	70	u	u	X
ejpam-5613	798	71	t	t	PROPN
ejpam-5613	798	72	∫	∫	PROPN
ejpam-5613	798	73	w	w	PROPN
ejpam-5613	798	74	v	v	ADP
ejpam-5613	798	75	∥y	∥y	PROPN
ejpam-5613	798	76	(	(	PUNCT
ejpam-5613	798	77	s	s	X
ejpam-5613	798	78	,	,	PUNCT
ejpam-5613	798	79	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	798	80	drds	drd	NOUN
ejpam-5613	798	81	)	)	PUNCT
ejpam-5613	798	82	dwdt	dwdt	NOUN
ejpam-5613	798	83	+	+	CCONJ
ejpam-5613	798	84	∫	∫	PROPN
ejpam-5613	798	85	b	b	X
ejpam-5613	798	86	u	u	PROPN
ejpam-5613	798	87	∫	∫	PROPN
ejpam-5613	798	88	v	v	NOUN
ejpam-5613	798	89	c	c	PROPN
ejpam-5613	798	90	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	798	91	∂2	∂2	NOUN
ejpam-5613	798	92	∂w∂t	∂w∂t	INTJ
ejpam-5613	798	93	α	α	PROPN
ejpam-5613	798	94	(	(	PUNCT
ejpam-5613	798	95	t	t	PROPN
ejpam-5613	798	96	,	,	PUNCT
ejpam-5613	798	97	w	w	NOUN
ejpam-5613	798	98	)	)	PUNCT
ejpam-5613	798	99	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	798	100	(	(	PUNCT
ejpam-5613	798	101	∫	∫	PROPN
ejpam-5613	798	102	t	t	PROPN
ejpam-5613	798	103	u	u	X
ejpam-5613	798	104	∫	∫	PROPN
ejpam-5613	798	105	v	v	NOUN
ejpam-5613	798	106	w	w	PROPN
ejpam-5613	798	107	∥y	∥y	PROPN
ejpam-5613	798	108	(	(	PUNCT
ejpam-5613	798	109	s	s	X
ejpam-5613	798	110	,	,	PUNCT
ejpam-5613	798	111	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	798	112	drds	drd	NOUN
ejpam-5613	798	113	)	)	PUNCT
ejpam-5613	798	114	dwdt	dwdt	NOUN
ejpam-5613	798	115	+	+	CCONJ
ejpam-5613	798	116	∫	∫	PROPN
ejpam-5613	798	117	u	u	PROPN
ejpam-5613	798	118	a	a	DET
ejpam-5613	798	119	∫	∫	PROPN
ejpam-5613	798	120	v	v	NOUN
ejpam-5613	798	121	c	c	PROPN
ejpam-5613	798	122	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5613	798	123	∂2	∂2	NOUN
ejpam-5613	798	124	∂w∂t	∂w∂t	INTJ
ejpam-5613	798	125	α	α	PROPN
ejpam-5613	798	126	(	(	PUNCT
ejpam-5613	798	127	t	t	PROPN
ejpam-5613	798	128	,	,	PUNCT
ejpam-5613	798	129	w	w	NOUN
ejpam-5613	798	130	)	)	PUNCT
ejpam-5613	798	131	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5613	798	132	(	(	PUNCT
ejpam-5613	798	133	∫	∫	PROPN
ejpam-5613	798	134	u	u	X
ejpam-5613	798	135	t	t	PROPN
ejpam-5613	798	136	∫	∫	PROPN
ejpam-5613	798	137	v	v	NOUN
ejpam-5613	798	138	w	w	PROPN
ejpam-5613	798	139	∥y	∥y	PROPN
ejpam-5613	798	140	(	(	PUNCT
ejpam-5613	798	141	s	s	X
ejpam-5613	798	142	,	,	PUNCT
ejpam-5613	798	143	r)∥e1×e2	r)∥e1×e2	PROPN
ejpam-5613	798	144	drds	drd	NOUN
ejpam-5613	798	145	)	)	PUNCT
ejpam-5613	798	146	dwdt	dwdt	NOUN
ejpam-5613	798	147	:	:	PUNCT
ejpam-5613	799	1	=	=	SYM
ejpam-5613	799	2	c̃	c̃	PROPN
ejpam-5613	799	3	(	(	PUNCT
ejpam-5613	799	4	α	α	NOUN
ejpam-5613	799	5	,	,	PUNCT
ejpam-5613	799	6	y	y	PROPN
ejpam-5613	799	7	,	,	PUNCT
ejpam-5613	799	8	u	u	NOUN
ejpam-5613	799	9	,	,	PUNCT
ejpam-5613	799	10	v	v	NOUN
ejpam-5613	799	11	)	)	PUNCT
ejpam-5613	799	12	.	.	PUNCT
ejpam-5613	800	1	(	(	PUNCT
ejpam-5613	800	2	2.46	2.46	NUM
ejpam-5613	800	3	)	)	PUNCT
ejpam-5613	800	4	now	now	ADV
ejpam-5613	800	5	by	by	ADP
ejpam-5613	800	6	following	follow	VERB
ejpam-5613	800	7	the	the	DET
ejpam-5613	800	8	similar	similar	ADJ
ejpam-5613	800	9	steps	step	NOUN
ejpam-5613	800	10	as	as	ADP
ejpam-5613	800	11	in	in	ADP
ejpam-5613	800	12	the	the	DET
ejpam-5613	800	13	proof	proof	NOUN
ejpam-5613	800	14	of	of	ADP
ejpam-5613	800	15	theorem	theorem	ADJ
ejpam-5613	800	16	4	4	NUM
ejpam-5613	800	17	,	,	PUNCT
ejpam-5613	800	18	we	we	PRON
ejpam-5613	800	19	can	can	AUX
ejpam-5613	800	20	get	get	VERB
ejpam-5613	800	21	the	the	DET
ejpam-5613	800	22	inequalities	inequality	NOUN
ejpam-5613	800	23	(	(	PUNCT
ejpam-5613	800	24	2.38	2.38	NUM
ejpam-5613	800	25	)	)	PUNCT
ejpam-5613	800	26	,	,	PUNCT
ejpam-5613	800	27	where	where	SCONJ
ejpam-5613	800	28	the	the	DET
ejpam-5613	800	29	bounds	bound	NOUN
ejpam-5613	800	30	for	for	ADP
ejpam-5613	800	31	c̃	c̃	PROPN
ejpam-5613	800	32	(	(	PUNCT
ejpam-5613	800	33	α	α	PROPN
ejpam-5613	800	34	,	,	PUNCT
ejpam-5613	800	35	y	y	PROPN
ejpam-5613	800	36	,	,	PUNCT
ejpam-5613	800	37	u	u	NOUN
ejpam-5613	800	38	,	,	PUNCT
ejpam-5613	800	39	v	v	NOUN
ejpam-5613	800	40	)	)	PUNCT
ejpam-5613	800	41	are	be	AUX
ejpam-5613	800	42	given	give	VERB
ejpam-5613	800	43	in	in	ADP
ejpam-5613	800	44	(	(	PUNCT
ejpam-5613	800	45	2.40	2.40	NUM
ejpam-5613	800	46	)	)	PUNCT
ejpam-5613	800	47	.	.	PUNCT
ejpam-5613	801	1	remark	remark	PROPN
ejpam-5613	801	2	2	2	NUM
ejpam-5613	801	3	.	.	PUNCT
ejpam-5613	802	1	a	a	DET
ejpam-5613	802	2	number	number	NOUN
ejpam-5613	802	3	of	of	ADP
ejpam-5613	802	4	results	result	NOUN
ejpam-5613	802	5	can	can	AUX
ejpam-5613	802	6	be	be	AUX
ejpam-5613	802	7	obtained	obtain	VERB
ejpam-5613	802	8	from	from	ADP
ejpam-5613	802	9	theorem	theorem	ADJ
ejpam-5613	802	10	6	6	NUM
ejpam-5613	802	11	,	,	PUNCT
ejpam-5613	802	12	however	however	ADV
ejpam-5613	802	13	,	,	PUNCT
ejpam-5613	802	14	we	we	PRON
ejpam-5613	802	15	leave	leave	VERB
ejpam-5613	802	16	their	their	PRON
ejpam-5613	802	17	proofs	proof	NOUN
ejpam-5613	802	18	to	to	PART
ejpam-5613	802	19	be	be	AUX
ejpam-5613	802	20	investigated	investigate	VERB
ejpam-5613	802	21	by	by	ADP
ejpam-5613	802	22	the	the	DET
ejpam-5613	802	23	interested	interested	ADJ
ejpam-5613	802	24	readers	reader	NOUN
ejpam-5613	802	25	.	.	PUNCT
ejpam-5613	803	1	3	3	X
ejpam-5613	803	2	.	.	X
ejpam-5613	803	3	conclusion	conclusion	NOUN
ejpam-5613	803	4	this	this	DET
ejpam-5613	803	5	paper	paper	NOUN
ejpam-5613	803	6	provides	provide	VERB
ejpam-5613	803	7	new	new	ADJ
ejpam-5613	803	8	weighted	weight	VERB
ejpam-5613	803	9	trapezoidal	trapezoidal	ADJ
ejpam-5613	803	10	-	-	PUNCT
ejpam-5613	803	11	type	type	NOUN
ejpam-5613	803	12	inequalities	inequality	NOUN
ejpam-5613	803	13	for	for	ADP
ejpam-5613	803	14	the	the	DET
ejpam-5613	803	15	product	product	NOUN
ejpam-5613	803	16	of	of	ADP
ejpam-5613	803	17	two	two	NUM
ejpam-5613	803	18	functions	function	NOUN
ejpam-5613	803	19	of	of	ADP
ejpam-5613	803	20	two	two	NUM
ejpam-5613	803	21	variables	variable	NOUN
ejpam-5613	803	22	,	,	PUNCT
ejpam-5613	803	23	one	one	NUM
ejpam-5613	803	24	of	of	ADP
ejpam-5613	803	25	which	which	PRON
ejpam-5613	803	26	takes	take	VERB
ejpam-5613	803	27	values	value	NOUN
ejpam-5613	803	28	in	in	ADP
ejpam-5613	803	29	banach	banach	NOUN
ejpam-5613	803	30	spaces	space	NOUN
ejpam-5613	803	31	and	and	CCONJ
ejpam-5613	803	32	the	the	DET
ejpam-5613	803	33	other	other	ADJ
ejpam-5613	803	34	in	in	ADP
ejpam-5613	803	35	o.	o.	PROPN
ejpam-5613	803	36	b.	b.	PROPN
ejpam-5613	803	37	almutairi	almutairi	PROPN
ejpam-5613	803	38	,	,	PUNCT
ejpam-5613	803	39	m.	m.	NOUN
ejpam-5613	803	40	a.	a.	PROPN
ejpam-5613	803	41	latif	latif	PROPN
ejpam-5613	803	42	/	/	SYM
ejpam-5613	803	43	eur	eur	PROPN
ejpam-5613	803	44	.	.	PUNCT
ejpam-5613	804	1	j.	j.	PROPN
ejpam-5613	804	2	pure	pure	PROPN
ejpam-5613	804	3	appl	appl	PROPN
ejpam-5613	804	4	.	.	PROPN
ejpam-5613	804	5	math	math	PROPN
ejpam-5613	804	6	,	,	PUNCT
ejpam-5613	804	7	18	18	NUM
ejpam-5613	804	8	(	(	PUNCT
ejpam-5613	804	9	1	1	NUM
ejpam-5613	804	10	)	)	PUNCT
ejpam-5613	804	11	(	(	PUNCT
ejpam-5613	804	12	2025	2025	NUM
ejpam-5613	804	13	)	)	PUNCT
ejpam-5613	804	14	,	,	PUNCT
ejpam-5613	804	15	5608	5608	NUM
ejpam-5613	804	16	32	32	NUM
ejpam-5613	804	17	of	of	ADP
ejpam-5613	804	18	33	33	NUM
ejpam-5613	804	19	the	the	DET
ejpam-5613	804	20	complex	complex	ADJ
ejpam-5613	804	21	plane	plane	NOUN
ejpam-5613	804	22	.	.	PUNCT
ejpam-5613	805	1	this	this	PRON
ejpam-5613	805	2	is	be	AUX
ejpam-5613	805	3	performed	perform	VERB
ejpam-5613	805	4	using	use	VERB
ejpam-5613	805	5	the	the	DET
ejpam-5613	805	6	integration	integration	NOUN
ejpam-5613	805	7	by	by	ADP
ejpam-5613	805	8	parts	part	NOUN
ejpam-5613	805	9	method	method	NOUN
ejpam-5613	805	10	for	for	ADP
ejpam-5613	805	11	bochner	bochner	NOUN
ejpam-5613	805	12	integrals	integral	NOUN
ejpam-5613	805	13	,	,	PUNCT
ejpam-5613	805	14	as	as	ADV
ejpam-5613	805	15	well	well	ADV
ejpam-5613	805	16	as	as	ADP
ejpam-5613	805	17	analytical	analytical	ADJ
ejpam-5613	805	18	techniques	technique	NOUN
ejpam-5613	805	19	for	for	ADP
ejpam-5613	805	20	the	the	DET
ejpam-5613	805	21	product	product	NOUN
ejpam-5613	805	22	of	of	ADP
ejpam-5613	805	23	functions	function	NOUN
ejpam-5613	805	24	with	with	ADP
ejpam-5613	805	25	values	value	NOUN
ejpam-5613	805	26	in	in	ADP
ejpam-5613	805	27	banach	banach	NOUN
ejpam-5613	805	28	spaces	space	NOUN
ejpam-5613	805	29	.	.	PUNCT
ejpam-5613	806	1	our	our	PRON
ejpam-5613	806	2	findings	finding	NOUN
ejpam-5613	806	3	extend	extend	VERB
ejpam-5613	806	4	and	and	CCONJ
ejpam-5613	806	5	generalize	generalize	VERB
ejpam-5613	806	6	several	several	ADJ
ejpam-5613	806	7	previously	previously	ADV
ejpam-5613	806	8	reported	report	VERB
ejpam-5613	806	9	results	result	NOUN
ejpam-5613	806	10	for	for	ADP
ejpam-5613	806	11	functions	function	NOUN
ejpam-5613	806	12	of	of	ADP
ejpam-5613	806	13	a	a	DET
ejpam-5613	806	14	single	single	ADJ
ejpam-5613	806	15	variable	variable	NOUN
ejpam-5613	806	16	to	to	ADP
ejpam-5613	806	17	functions	function	NOUN
ejpam-5613	806	18	of	of	ADP
ejpam-5613	806	19	two	two	NUM
ejpam-5613	806	20	variables	variable	NOUN
ejpam-5613	806	21	.	.	PUNCT
ejpam-5613	807	1	indeed	indeed	ADV
ejpam-5613	807	2	,	,	PUNCT
ejpam-5613	807	3	our	our	PRON
ejpam-5613	807	4	inequalities	inequality	NOUN
ejpam-5613	807	5	generalize	generalize	VERB
ejpam-5613	807	6	those	those	DET
ejpam-5613	807	7	results	result	NOUN
ejpam-5613	807	8	of	of	ADP
ejpam-5613	807	9	dragomir	dragomir	NOUN
ejpam-5613	807	10	from	from	ADP
ejpam-5613	807	11	[	[	X
ejpam-5613	807	12	9	9	NUM
ejpam-5613	807	13	]	]	PUNCT
ejpam-5613	807	14	to	to	ADP
ejpam-5613	807	15	the	the	DET
ejpam-5613	807	16	product	product	NOUN
ejpam-5613	807	17	of	of	ADP
ejpam-5613	807	18	two	two	NUM
ejpam-5613	807	19	functions	function	NOUN
ejpam-5613	807	20	of	of	ADP
ejpam-5613	807	21	two	two	NUM
ejpam-5613	807	22	variables	variable	NOUN
ejpam-5613	807	23	of	of	ADP
ejpam-5613	807	24	which	which	PRON
ejpam-5613	807	25	one	one	NUM
ejpam-5613	807	26	function	function	NOUN
ejpam-5613	807	27	has	have	VERB
ejpam-5613	807	28	values	value	NOUN
ejpam-5613	807	29	in	in	ADP
ejpam-5613	807	30	the	the	DET
ejpam-5613	807	31	direct	direct	ADJ
ejpam-5613	807	32	product	product	NOUN
ejpam-5613	807	33	of	of	ADP
ejpam-5613	807	34	two	two	NUM
ejpam-5613	807	35	banach	banach	NOUN
ejpam-5613	807	36	spaces	space	NOUN
ejpam-5613	807	37	and	and	CCONJ
ejpam-5613	807	38	the	the	DET
ejpam-5613	807	39	other	other	ADJ
ejpam-5613	807	40	function	function	NOUN
ejpam-5613	807	41	contains	contain	VERB
ejpam-5613	807	42	values	value	NOUN
ejpam-5613	807	43	in	in	ADP
ejpam-5613	807	44	the	the	DET
ejpam-5613	807	45	product	product	NOUN
ejpam-5613	807	46	of	of	ADP
ejpam-5613	807	47	the	the	DET
ejpam-5613	807	48	complex	complex	ADJ
ejpam-5613	807	49	plane	plane	NOUN
ejpam-5613	807	50	.	.	PUNCT
ejpam-5613	808	1	the	the	DET
ejpam-5613	808	2	findings	finding	NOUN
ejpam-5613	808	3	of	of	ADP
ejpam-5613	808	4	this	this	DET
ejpam-5613	808	5	study	study	NOUN
ejpam-5613	808	6	can	can	AUX
ejpam-5613	808	7	be	be	AUX
ejpam-5613	808	8	applied	apply	VERB
ejpam-5613	808	9	to	to	ADP
ejpam-5613	808	10	a	a	DET
ejpam-5613	808	11	variety	variety	NOUN
ejpam-5613	808	12	of	of	ADP
ejpam-5613	808	13	different	different	ADJ
ejpam-5613	808	14	fields	field	NOUN
ejpam-5613	808	15	of	of	ADP
ejpam-5613	808	16	study	study	NOUN
ejpam-5613	808	17	that	that	PRON
ejpam-5613	808	18	focus	focus	VERB
ejpam-5613	808	19	on	on	ADP
ejpam-5613	808	20	banach	banach	ADV
ejpam-5613	808	21	spaced	space	VERB
ejpam-5613	808	22	-	-	PUNCT
ejpam-5613	808	23	valued	value	VERB
ejpam-5613	808	24	functions	function	NOUN
ejpam-5613	808	25	,	,	PUNCT
ejpam-5613	808	26	leading	lead	VERB
ejpam-5613	808	27	to	to	ADP
ejpam-5613	808	28	new	new	ADJ
ejpam-5613	808	29	theoretical	theoretical	ADJ
ejpam-5613	808	30	and	and	CCONJ
ejpam-5613	808	31	practical	practical	ADJ
ejpam-5613	808	32	discoveries	discovery	NOUN
ejpam-5613	808	33	.	.	PUNCT
ejpam-5613	809	1	our	our	PRON
ejpam-5613	809	2	unique	unique	ADJ
ejpam-5613	809	3	method	method	NOUN
ejpam-5613	809	4	also	also	ADV
ejpam-5613	809	5	allows	allow	VERB
ejpam-5613	809	6	us	we	PRON
ejpam-5613	809	7	to	to	PART
ejpam-5613	809	8	determine	determine	VERB
ejpam-5613	809	9	error	error	NOUN
ejpam-5613	809	10	bounds	bound	NOUN
ejpam-5613	809	11	for	for	ADP
ejpam-5613	809	12	numerical	numerical	ADJ
ejpam-5613	809	13	integration	integration	NOUN
ejpam-5613	809	14	.	.	PUNCT
ejpam-5613	810	1	references	reference	NOUN
ejpam-5613	810	2	[	[	X
ejpam-5613	810	3	1	1	NUM
ejpam-5613	810	4	]	]	X
ejpam-5613	810	5	mohammad	mohammad	PROPN
ejpam-5613	810	6	w	w	PROPN
ejpam-5613	810	7	alomari	alomari	PROPN
ejpam-5613	810	8	.	.	PUNCT
ejpam-5613	811	1	a	a	DET
ejpam-5613	811	2	companion	companion	NOUN
ejpam-5613	811	3	of	of	ADP
ejpam-5613	811	4	the	the	DET
ejpam-5613	811	5	generalized	generalize	VERB
ejpam-5613	811	6	trapezoid	trapezoid	ADJ
ejpam-5613	811	7	inequality	inequality	NOUN
ejpam-5613	811	8	and	and	CCONJ
ejpam-5613	811	9	applications	application	NOUN
ejpam-5613	811	10	.	.	PUNCT
ejpam-5613	812	1	j.	j.	PROPN
ejpam-5613	812	2	math	math	PROPN
ejpam-5613	812	3	.	.	PUNCT
ejpam-5613	813	1	appl	appl	PROPN
ejpam-5613	813	2	,	,	PUNCT
ejpam-5613	813	3	36:5–15	36:5–15	NUM
ejpam-5613	813	4	,	,	PUNCT
ejpam-5613	813	5	2013	2013	NUM
ejpam-5613	813	6	.	.	PUNCT
ejpam-5613	814	1	[	[	X
ejpam-5613	814	2	2	2	X
ejpam-5613	814	3	]	]	PUNCT
ejpam-5613	814	4	george	george	VERB
ejpam-5613	814	5	a	a	DET
ejpam-5613	814	6	anastassiou	anastassiou	ADJ
ejpam-5613	814	7	.	.	PUNCT
ejpam-5613	815	1	ostrowski	ostrowski	NOUN
ejpam-5613	815	2	and	and	CCONJ
ejpam-5613	815	3	landau	landau	NOUN
ejpam-5613	815	4	inequalities	inequality	NOUN
ejpam-5613	815	5	for	for	ADP
ejpam-5613	815	6	banach	banach	NOUN
ejpam-5613	815	7	space	space	NOUN
ejpam-5613	815	8	valued	value	VERB
ejpam-5613	815	9	functions	function	NOUN
ejpam-5613	815	10	.	.	PUNCT
ejpam-5613	816	1	mathematical	mathematical	ADJ
ejpam-5613	816	2	and	and	CCONJ
ejpam-5613	816	3	computer	computer	NOUN
ejpam-5613	816	4	modelling	modelling	NOUN
ejpam-5613	816	5	,	,	PUNCT
ejpam-5613	816	6	55(3	55(3	PROPN
ejpam-5613	816	7	-	-	SYM
ejpam-5613	816	8	4):312–329	4):312–329	NUM
ejpam-5613	816	9	,	,	PUNCT
ejpam-5613	816	10	2012	2012	NUM
ejpam-5613	816	11	.	.	PUNCT
ejpam-5613	817	1	[	[	X
ejpam-5613	817	2	3	3	X
ejpam-5613	817	3	]	]	X
ejpam-5613	817	4	hüseyin	hüseyin	PROPN
ejpam-5613	817	5	budak	budak	PROPN
ejpam-5613	817	6	,	,	PUNCT
ejpam-5613	817	7	fatih	fatih	PROPN
ejpam-5613	817	8	hezenci	hezenci	PROPN
ejpam-5613	817	9	,	,	PUNCT
ejpam-5613	817	10	and	and	CCONJ
ejpam-5613	817	11	hasan	hasan	PROPN
ejpam-5613	817	12	kara	kara	PROPN
ejpam-5613	817	13	.	.	PUNCT
ejpam-5613	818	1	on	on	ADP
ejpam-5613	818	2	generalized	generalized	ADJ
ejpam-5613	818	3	ostrowski	ostrowski	NOUN
ejpam-5613	818	4	,	,	PUNCT
ejpam-5613	818	5	simpson	simpson	NOUN
ejpam-5613	818	6	and	and	CCONJ
ejpam-5613	818	7	trapezoidal	trapezoidal	ADJ
ejpam-5613	818	8	type	type	NOUN
ejpam-5613	818	9	inequalities	inequality	NOUN
ejpam-5613	818	10	for	for	ADP
ejpam-5613	818	11	co	co	VERB
ejpam-5613	818	12	-	-	ADJ
ejpam-5613	818	13	ordinated	ordinated	ADJ
ejpam-5613	818	14	convex	convex	NOUN
ejpam-5613	818	15	functions	function	NOUN
ejpam-5613	818	16	via	via	ADP
ejpam-5613	818	17	generalized	generalized	ADJ
ejpam-5613	818	18	fractional	fractional	ADJ
ejpam-5613	818	19	integrals	integral	NOUN
ejpam-5613	818	20	.	.	PUNCT
ejpam-5613	819	1	advances	advance	NOUN
ejpam-5613	819	2	in	in	ADP
ejpam-5613	819	3	difference	difference	NOUN
ejpam-5613	819	4	equations	equation	NOUN
ejpam-5613	819	5	,	,	PUNCT
ejpam-5613	819	6	2021(1):312	2021(1):312	NUM
ejpam-5613	819	7	,	,	PUNCT
ejpam-5613	819	8	2021	2021	NUM
ejpam-5613	819	9	.	.	PUNCT
ejpam-5613	820	1	[	[	X
ejpam-5613	820	2	4	4	X
ejpam-5613	820	3	]	]	X
ejpam-5613	820	4	p	p	PRON
ejpam-5613	820	5	cerone	cerone	NOUN
ejpam-5613	820	6	,	,	PUNCT
ejpam-5613	820	7	sever	sever	PROPN
ejpam-5613	820	8	s	s	VERB
ejpam-5613	820	9	dragomir	dragomir	NOUN
ejpam-5613	820	10	,	,	PUNCT
ejpam-5613	820	11	and	and	CCONJ
ejpam-5613	820	12	charles	charles	PROPN
ejpam-5613	820	13	em	em	PRON
ejpam-5613	820	14	pearce	pearce	PROPN
ejpam-5613	820	15	.	.	PUNCT
ejpam-5613	821	1	a	a	DET
ejpam-5613	821	2	generalized	generalize	VERB
ejpam-5613	821	3	trapezoid	trapezoid	ADJ
ejpam-5613	821	4	inequality	inequality	NOUN
ejpam-5613	821	5	for	for	ADP
ejpam-5613	821	6	functions	function	NOUN
ejpam-5613	821	7	of	of	ADP
ejpam-5613	821	8	bounded	bounded	ADJ
ejpam-5613	821	9	variation	variation	NOUN
ejpam-5613	821	10	.	.	PUNCT
ejpam-5613	822	1	turkish	turkish	ADJ
ejpam-5613	822	2	journal	journal	NOUN
ejpam-5613	822	3	of	of	ADP
ejpam-5613	822	4	mathematics	mathematic	NOUN
ejpam-5613	822	5	,	,	PUNCT
ejpam-5613	822	6	24(2):147	24(2):147	PROPN
ejpam-5613	822	7	–	–	PUNCT
ejpam-5613	822	8	163	163	NUM
ejpam-5613	822	9	,	,	PUNCT
ejpam-5613	822	10	2000	2000	NUM
ejpam-5613	822	11	.	.	PUNCT
ejpam-5613	823	1	[	[	X
ejpam-5613	823	2	5	5	NUM
ejpam-5613	823	3	]	]	PUNCT
ejpam-5613	823	4	sever	sever	VERB
ejpam-5613	823	5	dragomir	dragomir	ADJ
ejpam-5613	823	6	.	.	PUNCT
ejpam-5613	823	7	vector	vector	NOUN
ejpam-5613	823	8	and	and	CCONJ
ejpam-5613	823	9	operator	operator	NOUN
ejpam-5613	823	10	trapezoidal	trapezoidal	ADJ
ejpam-5613	823	11	type	type	NOUN
ejpam-5613	823	12	inequalities	inequality	NOUN
ejpam-5613	823	13	for	for	ADP
ejpam-5613	823	14	continuous	continuous	ADJ
ejpam-5613	823	15	functions	function	NOUN
ejpam-5613	823	16	of	of	ADP
ejpam-5613	823	17	selfadjoint	selfadjoint	NOUN
ejpam-5613	823	18	operators	operator	NOUN
ejpam-5613	823	19	in	in	ADP
ejpam-5613	823	20	hilbert	hilbert	PROPN
ejpam-5613	823	21	spaces	space	NOUN
ejpam-5613	823	22	.	.	PUNCT
ejpam-5613	824	1	the	the	DET
ejpam-5613	824	2	electronic	electronic	ADJ
ejpam-5613	824	3	journal	journal	NOUN
ejpam-5613	824	4	of	of	ADP
ejpam-5613	824	5	linear	linear	PROPN
ejpam-5613	824	6	algebra	algebra	PROPN
ejpam-5613	824	7	,	,	PUNCT
ejpam-5613	824	8	22:161–178	22:161–178	PROPN
ejpam-5613	824	9	,	,	PUNCT
ejpam-5613	824	10	2011	2011	NUM
ejpam-5613	824	11	.	.	PUNCT
ejpam-5613	825	1	[	[	X
ejpam-5613	825	2	6	6	NUM
ejpam-5613	825	3	]	]	X
ejpam-5613	825	4	sever	sever	PROPN
ejpam-5613	825	5	s	s	PRON
ejpam-5613	825	6	dragomir	dragomir	NOUN
ejpam-5613	825	7	,	,	PUNCT
ejpam-5613	825	8	constantin	constantin	PROPN
ejpam-5613	825	9	buşe	buşe	PROPN
ejpam-5613	825	10	,	,	PUNCT
ejpam-5613	825	11	marius	marius	PROPN
ejpam-5613	825	12	valentin	valentin	PROPN
ejpam-5613	825	13	boldea	boldea	NOUN
ejpam-5613	825	14	,	,	PUNCT
ejpam-5613	825	15	and	and	CCONJ
ejpam-5613	825	16	liliana	liliana	PROPN
ejpam-5613	825	17	braescu	braescu	NOUN
ejpam-5613	825	18	.	.	PUNCT
ejpam-5613	826	1	a	a	DET
ejpam-5613	826	2	generalisation	generalisation	NOUN
ejpam-5613	826	3	of	of	ADP
ejpam-5613	826	4	the	the	DET
ejpam-5613	826	5	trapezoidal	trapezoidal	ADJ
ejpam-5613	826	6	rule	rule	NOUN
ejpam-5613	826	7	for	for	ADP
ejpam-5613	826	8	the	the	DET
ejpam-5613	826	9	riemann	riemann	PROPN
ejpam-5613	826	10	-	-	PUNCT
ejpam-5613	826	11	stieltjes	stieltjes	NOUN
ejpam-5613	826	12	integral	integral	ADJ
ejpam-5613	826	13	and	and	CCONJ
ejpam-5613	826	14	applications	application	NOUN
ejpam-5613	826	15	.	.	PUNCT
ejpam-5613	827	1	rgmia	rgmia	PROPN
ejpam-5613	827	2	research	research	NOUN
ejpam-5613	827	3	report	report	NOUN
ejpam-5613	827	4	collection	collection	NOUN
ejpam-5613	827	5	,	,	PUNCT
ejpam-5613	827	6	3(4	3(4	NUM
ejpam-5613	827	7	)	)	PUNCT
ejpam-5613	827	8	,	,	PUNCT
ejpam-5613	827	9	2000	2000	NUM
ejpam-5613	827	10	.	.	PUNCT
ejpam-5613	828	1	[	[	X
ejpam-5613	828	2	7	7	X
ejpam-5613	828	3	]	]	X
ejpam-5613	828	4	silvestru	silvestru	NOUN
ejpam-5613	828	5	sever	sever	VERB
ejpam-5613	828	6	dragomir	dragomir	ADJ
ejpam-5613	828	7	.	.	PUNCT
ejpam-5613	828	8	operator	operator	NOUN
ejpam-5613	828	9	inequalities	inequality	NOUN
ejpam-5613	828	10	of	of	ADP
ejpam-5613	828	11	ostrowski	ostrowski	ADJ
ejpam-5613	828	12	and	and	CCONJ
ejpam-5613	828	13	trapezoidal	trapezoidal	ADJ
ejpam-5613	828	14	type	type	NOUN
ejpam-5613	828	15	.	.	PUNCT
ejpam-5613	829	1	springer	springer	NOUN
ejpam-5613	829	2	science	science	PROPN
ejpam-5613	829	3	&	&	CCONJ
ejpam-5613	829	4	business	business	NOUN
ejpam-5613	829	5	media	medium	NOUN
ejpam-5613	829	6	,	,	PUNCT
ejpam-5613	829	7	2011	2011	NUM
ejpam-5613	829	8	.	.	PUNCT
ejpam-5613	830	1	[	[	X
ejpam-5613	830	2	8	8	NUM
ejpam-5613	830	3	]	]	X
ejpam-5613	830	4	silvestru	silvestru	NOUN
ejpam-5613	830	5	sever	sever	VERB
ejpam-5613	830	6	dragomir	dragomir	ADJ
ejpam-5613	830	7	.	.	PUNCT
ejpam-5613	831	1	reverses	reverse	NOUN
ejpam-5613	831	2	of	of	ADP
ejpam-5613	831	3	operator	operator	NOUN
ejpam-5613	831	4	féjer	féjer	NOUN
ejpam-5613	831	5	’s	’s	PART
ejpam-5613	831	6	inequalities	inequality	NOUN
ejpam-5613	831	7	.	.	PUNCT
ejpam-5613	832	1	tokyo	tokyo	PROPN
ejpam-5613	832	2	journal	journal	NOUN
ejpam-5613	832	3	of	of	ADP
ejpam-5613	832	4	mathematics	mathematics	PROPN
ejpam-5613	832	5	,	,	PUNCT
ejpam-5613	832	6	44(2):351–366	44(2):351–366	PROPN
ejpam-5613	832	7	,	,	PUNCT
ejpam-5613	832	8	2021	2021	NUM
ejpam-5613	832	9	.	.	PUNCT
ejpam-5613	833	1	[	[	X
ejpam-5613	833	2	9	9	NUM
ejpam-5613	833	3	]	]	SYM
ejpam-5613	833	4	ss	ss	NOUN
ejpam-5613	833	5	dragomir	dragomir	PROPN
ejpam-5613	833	6	.	.	PUNCT
ejpam-5613	834	1	generalized	generalize	VERB
ejpam-5613	834	2	trapezoid	trapezoid	ADJ
ejpam-5613	834	3	type	type	NOUN
ejpam-5613	834	4	inequalities	inequality	NOUN
ejpam-5613	834	5	for	for	ADP
ejpam-5613	834	6	functions	function	NOUN
ejpam-5613	834	7	with	with	ADP
ejpam-5613	834	8	values	value	NOUN
ejpam-5613	834	9	in	in	ADP
ejpam-5613	834	10	banach	banach	NOUN
ejpam-5613	834	11	spaces	space	NOUN
ejpam-5613	834	12	.	.	PUNCT
ejpam-5613	835	1	journal	journal	NOUN
ejpam-5613	835	2	of	of	ADP
ejpam-5613	835	3	the	the	DET
ejpam-5613	835	4	iranian	iranian	PROPN
ejpam-5613	835	5	mathematical	mathematical	PROPN
ejpam-5613	835	6	society	society	NOUN
ejpam-5613	835	7	,	,	PUNCT
ejpam-5613	835	8	2(1):17–38	2(1):17–38	NUM
ejpam-5613	835	9	,	,	PUNCT
ejpam-5613	835	10	2021	2021	NUM
ejpam-5613	835	11	.	.	PUNCT
ejpam-5613	836	1	[	[	X
ejpam-5613	836	2	10	10	NUM
ejpam-5613	836	3	]	]	X
ejpam-5613	836	4	alexander	alexander	PROPN
ejpam-5613	836	5	ostrowski	ostrowski	PROPN
ejpam-5613	836	6	.	.	PUNCT
ejpam-5613	837	1	über	über	PROPN
ejpam-5613	837	2	die	die	VERB
ejpam-5613	837	3	absolutabweichung	absolutabweichung	PROPN
ejpam-5613	837	4	einer	einer	PROPN
ejpam-5613	837	5	differentiierbaren	differentiierbaren	PROPN
ejpam-5613	837	6	funktion	funktion	PROPN
ejpam-5613	837	7	von	von	PROPN
ejpam-5613	837	8	ihrem	ihrem	PROPN
ejpam-5613	837	9	integralmittelwert	integralmittelwert	PROPN
ejpam-5613	837	10	.	.	PUNCT
ejpam-5613	838	1	commentarii	commentarii	PROPN
ejpam-5613	838	2	mathematici	mathematici	PROPN
ejpam-5613	838	3	helvetici	helvetici	PROPN
ejpam-5613	838	4	,	,	PUNCT
ejpam-5613	838	5	10(1):226–227	10(1):226–227	NUM
ejpam-5613	838	6	,	,	PUNCT
ejpam-5613	838	7	1937	1937	NUM
ejpam-5613	838	8	.	.	PUNCT
ejpam-5613	839	1	[	[	X
ejpam-5613	839	2	11	11	NUM
ejpam-5613	839	3	]	]	PUNCT
ejpam-5613	839	4	charles	charles	PROPN
ejpam-5613	839	5	em	em	PRON
ejpam-5613	839	6	pearce	pearce	PROPN
ejpam-5613	839	7	and	and	CCONJ
ejpam-5613	839	8	josip	josip	PROPN
ejpam-5613	839	9	pečarić.	pečarić.	PROPN
ejpam-5613	839	10	inequalities	inequality	NOUN
ejpam-5613	839	11	for	for	ADP
ejpam-5613	839	12	differentiable	differentiable	ADJ
ejpam-5613	839	13	mappings	mapping	NOUN
ejpam-5613	839	14	with	with	ADP
ejpam-5613	839	15	application	application	NOUN
ejpam-5613	839	16	to	to	ADP
ejpam-5613	839	17	special	special	ADJ
ejpam-5613	839	18	means	mean	NOUN
ejpam-5613	839	19	and	and	CCONJ
ejpam-5613	839	20	quadrature	quadrature	NOUN
ejpam-5613	839	21	formulae	formulae	NOUN
ejpam-5613	839	22	.	.	PUNCT
ejpam-5613	840	1	applied	apply	VERB
ejpam-5613	840	2	mathematics	mathematics	NOUN
ejpam-5613	840	3	letters	letter	NOUN
ejpam-5613	840	4	,	,	PUNCT
ejpam-5613	840	5	13(2):51–55	13(2):51–55	NUM
ejpam-5613	840	6	,	,	PUNCT
ejpam-5613	840	7	2000	2000	NUM
ejpam-5613	840	8	.	.	PUNCT
ejpam-5613	841	1	[	[	X
ejpam-5613	841	2	12	12	NUM
ejpam-5613	841	3	]	]	X
ejpam-5613	841	4	mehmet	mehmet	PROPN
ejpam-5613	841	5	zeki	zeki	PROPN
ejpam-5613	841	6	sarikaya	sarikaya	PROPN
ejpam-5613	841	7	.	.	PUNCT
ejpam-5613	842	1	on	on	ADP
ejpam-5613	842	2	the	the	DET
ejpam-5613	842	3	ostrowski	ostrowski	ADJ
ejpam-5613	842	4	type	type	NOUN
ejpam-5613	842	5	integral	integral	ADJ
ejpam-5613	842	6	inequality	inequality	NOUN
ejpam-5613	842	7	for	for	ADP
ejpam-5613	842	8	double	double	ADJ
ejpam-5613	842	9	integrals	integral	NOUN
ejpam-5613	842	10	.	.	PUNCT
ejpam-5613	843	1	demonstratio	demonstratio	PROPN
ejpam-5613	843	2	mathematica	mathematica	PROPN
ejpam-5613	843	3	,	,	PUNCT
ejpam-5613	843	4	45(3):533–540	45(3):533–540	PROPN
ejpam-5613	843	5	,	,	PUNCT
ejpam-5613	843	6	2012	2012	NUM
ejpam-5613	843	7	.	.	PUNCT
ejpam-5613	844	1	o.	o.	PROPN
ejpam-5613	844	2	b.	b.	PROPN
ejpam-5613	844	3	almutairi	almutairi	PROPN
ejpam-5613	844	4	,	,	PUNCT
ejpam-5613	844	5	m.	m.	NOUN
ejpam-5613	844	6	a.	a.	PROPN
ejpam-5613	844	7	latif	latif	PROPN
ejpam-5613	844	8	/	/	SYM
ejpam-5613	844	9	eur	eur	PROPN
ejpam-5613	844	10	.	.	PUNCT
ejpam-5613	845	1	j.	j.	PROPN
ejpam-5613	845	2	pure	pure	PROPN
ejpam-5613	845	3	appl	appl	PROPN
ejpam-5613	845	4	.	.	PROPN
ejpam-5613	845	5	math	math	PROPN
ejpam-5613	845	6	,	,	PUNCT
ejpam-5613	845	7	18	18	NUM
ejpam-5613	845	8	(	(	PUNCT
ejpam-5613	845	9	1	1	NUM
ejpam-5613	845	10	)	)	PUNCT
ejpam-5613	845	11	(	(	PUNCT
ejpam-5613	845	12	2025	2025	NUM
ejpam-5613	845	13	)	)	PUNCT
ejpam-5613	845	14	,	,	PUNCT
ejpam-5613	845	15	5608	5608	NUM
ejpam-5613	845	16	33	33	NUM
ejpam-5613	845	17	of	of	ADP
ejpam-5613	845	18	33	33	NUM
ejpam-5613	845	19	[	[	SYM
ejpam-5613	845	20	13	13	NUM
ejpam-5613	845	21	]	]	X
ejpam-5613	845	22	kuei	kuei	PROPN
ejpam-5613	845	23	lin	lin	PROPN
ejpam-5613	845	24	tseng	tseng	PROPN
ejpam-5613	845	25	and	and	CCONJ
ejpam-5613	845	26	shiow	shiow	PROPN
ejpam-5613	845	27	ru	ru	PROPN
ejpam-5613	845	28	hwangy	hwangy	PROPN
ejpam-5613	845	29	.	.	PUNCT
ejpam-5613	846	1	some	some	DET
ejpam-5613	846	2	extended	extended	ADJ
ejpam-5613	846	3	trapezoid	trapezoid	ADJ
ejpam-5613	846	4	-	-	PUNCT
ejpam-5613	846	5	type	type	NOUN
ejpam-5613	846	6	inequalities	inequality	NOUN
ejpam-5613	846	7	and	and	CCONJ
ejpam-5613	846	8	applications	application	NOUN
ejpam-5613	846	9	.	.	PUNCT
ejpam-5613	847	1	hacettepe	hacettepe	PROPN
ejpam-5613	847	2	journal	journal	PROPN
ejpam-5613	847	3	of	of	ADP
ejpam-5613	847	4	mathematics	mathematic	NOUN
ejpam-5613	847	5	and	and	CCONJ
ejpam-5613	847	6	statistics	statistic	NOUN
ejpam-5613	847	7	,	,	PUNCT
ejpam-5613	847	8	45(3):827–850	45(3):827–850	PROPN
ejpam-5613	847	9	,	,	PUNCT
ejpam-5613	847	10	2016	2016	NUM
ejpam-5613	847	11	.	.	PUNCT